1,1,39,30,0.329000," ","int(((20*x^4-30*x^3+12*x^2+4*x)*exp(x)^2+(200*x^4-300*x^3+300*x^2-236*x)*exp(x)+500*x^4-750*x^3+1500*x^2-1400*x+720)/((5*x^4-10*x^3+5*x^2)*exp(x)^2+(50*x^4-100*x^3+110*x^2-60*x)*exp(x)+125*x^4-250*x^3+425*x^2-300*x+180)/exp(((5*x-2)*exp(x)+25*x-10)/((10*x^2-10*x)*exp(x)+50*x^2-50*x+60)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \,{\mathrm e}^{-\frac{\left(5 x -2\right) \left({\mathrm e}^{x}+5\right)}{10 \left({\mathrm e}^{x} x^{2}-{\mathrm e}^{x} x +5 x^{2}-5 x +6\right)}}$&$39$\\ norman&$\frac{\left(24 x -20 x^{2}+20 x^{3}-4 \,{\mathrm e}^{x} x^{2}+4 \,{\mathrm e}^{x} x^{3}\right) {\mathrm e}^{-\frac{\left(5 x -2\right) {\mathrm e}^{x}+25 x -10}{\left(10 x^{2}-10 x \right) {\mathrm e}^{x}+50 x^{2}-50 x +60}}}{{\mathrm e}^{x} x^{2}-{\mathrm e}^{x} x +5 x^{2}-5 x +6}$&$94$\\ \hline \end{longtable}"," ",0,"4*x*exp(-1/10*(5*x-2)*(exp(x)+5)/(exp(x)*x^2-exp(x)*x+5*x^2-5*x+6))","A"
2,1,35,27,0.093000," ","int(((5*x^3+5*x^2+5*x)*ln(x^6+2*x^5+3*x^4+2*x^3+x^2)+6*x^4+32*x^3+110*x^2+60*x+32)/((x^5+9*x^4+25*x^3+24*x^2+16*x)*ln(x^6+2*x^5+3*x^4+2*x^3+x^2)-4*x^5-36*x^4-100*x^3-96*x^2-64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{5}{4+x}+\ln \left(\ln \left(x^{6}+2 x^{5}+3 x^{4}+2 x^{3}+x^{2}\right)-4\right)$&$35$\\ risch&$-\frac{5}{4+x}+\ln \left(\ln \left(x^{6}+2 x^{5}+3 x^{4}+2 x^{3}+x^{2}\right)-4\right)$&$35$\\ \hline \end{longtable}"," ",0,"-5/(4+x)+ln(ln(x^6+2*x^5+3*x^4+2*x^3+x^2)-4)","A"
3,1,26,29,0.061000," ","int((((-4*x-4)*exp(x)+12*x+12)*ln(-exp(x)+3)*ln(ln(-exp(x)+3))^3+((60*x+60)*exp(x)-180*x-180)*ln(-exp(x)+3)*ln(ln(-exp(x)+3))^2+((-300*x-300)*exp(x)+900*x+900)*ln(-exp(x)+3)*ln(ln(-exp(x)+3))+((500*x+500)*exp(x)-1500*x-1500)*ln(-exp(x)+3)-36*exp(x)*x^3)/((exp(x)*x^3-3*x^3)*ln(-exp(x)+3)*ln(ln(-exp(x)+3))^3+(-15*exp(x)*x^3+45*x^3)*ln(-exp(x)+3)*ln(ln(-exp(x)+3))^2+(75*exp(x)*x^3-225*x^3)*ln(-exp(x)+3)*ln(ln(-exp(x)+3))+(-125*exp(x)*x^3+375*x^3)*ln(-exp(x)+3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x +2}{x^{2}}+\frac{18}{\left(\ln \left(\ln \left(-{\mathrm e}^{x}+3\right)\right)-5\right)^{2}}$&$26$\\ \hline \end{longtable}"," ",0,"2*(2*x+1)/x^2+18/(ln(ln(-exp(x)+3))-5)^2","A"
4,1,28,25,0.073000," ","int(((12*x^2-4*x+8)*ln(3)+30*x-30)/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(4 x^{2} \ln \left(3\right)-2 x \ln \left(3\right)+8 \ln \left(3\right)+15 x -30\right)}{\ln \left(3\right)}$&$28$\\ risch&$4 x^{3}-2 x^{2}+8 x +\frac{15 x^{2}}{\ln \left(3\right)}-\frac{30 x}{\ln \left(3\right)}$&$31$\\ default&$\frac{\ln \left(3\right) \left(4 x^{3}-2 x^{2}+8 x \right)+15 x^{2}-30 x}{\ln \left(3\right)}$&$32$\\ norman&$4 x^{3}-\frac{\left(2 \ln \left(3\right)-15\right) x^{2}}{\ln \left(3\right)}+\frac{2 \left(4 \ln \left(3\right)-15\right) x}{\ln \left(3\right)}$&$35$\\ \hline \end{longtable}"," ",0,"x*(4*x^2*ln(3)-2*x*ln(3)+8*ln(3)+15*x-30)/ln(3)","A"
5,1,26,25,0.113000," ","int(((-36*x+36)*ln(x)+(-6*x-1)*exp(x)-36*x^2+72*x+36)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\left(36 x^{2}+36 x \ln \left(x \right)\right) {\mathrm e}^{-x}-3 x^{2}$&$26$\\ norman&$\left(36 x^{2}+36 x \ln \left(x \right)-{\mathrm e}^{x} x -3 \,{\mathrm e}^{x} x^{2}\right) {\mathrm e}^{-x}$&$29$\\ risch&$36 x \,{\mathrm e}^{-x} \ln \left(x \right)-x \left(3 \,{\mathrm e}^{x} x -36 x +{\mathrm e}^{x}\right) {\mathrm e}^{-x}$&$29$\\ \hline \end{longtable}"," ",0,"-x+(36*x^2+36*x*ln(x))/exp(x)-3*x^2","A"
6,1,11,17,0.019000," ","int(1/5*(-5*exp(x)*x-4*x+5)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{4 x}{5}+\ln \left(x \right)-{\mathrm e}^{x}$&$11$\\ norman&$-\frac{4 x}{5}+\ln \left(x \right)-{\mathrm e}^{x}$&$11$\\ risch&$-\frac{4 x}{5}+\ln \left(x \right)-{\mathrm e}^{x}$&$11$\\ \hline \end{longtable}"," ",0,"-4/5*x+ln(x)-exp(x)","A"
7,1,23,22,0.628000," ","int(((-4*x^3-16*x^2+40*x)*exp(5)*exp(x)+14*x^2+40*x)*exp(2*x^2/((2*x+10)*exp(5)*exp(x)+x^2+7*x+10))/((4*x^2+40*x+100)*exp(5)^2*exp(x)^2+(4*x^3+48*x^2+180*x+200)*exp(5)*exp(x)+x^4+14*x^3+69*x^2+140*x+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 x^{2}}{\left(5+x \right) \left(x +2 \,{\mathrm e}^{5+x}+2\right)}}$&$23$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{2 x^{2}}{\left(2 x +10\right) {\mathrm e}^{5} {\mathrm e}^{x}+x^{2}+7 x +10}}+7 x \,{\mathrm e}^{\frac{2 x^{2}}{\left(2 x +10\right) {\mathrm e}^{5} {\mathrm e}^{x}+x^{2}+7 x +10}}+10 \,{\mathrm e}^{5} {\mathrm e}^{x} {\mathrm e}^{\frac{2 x^{2}}{\left(2 x +10\right) {\mathrm e}^{5} {\mathrm e}^{x}+x^{2}+7 x +10}}+2 x \,{\mathrm e}^{5} {\mathrm e}^{x} {\mathrm e}^{\frac{2 x^{2}}{\left(2 x +10\right) {\mathrm e}^{5} {\mathrm e}^{x}+x^{2}+7 x +10}}+10 \,{\mathrm e}^{\frac{2 x^{2}}{\left(2 x +10\right) {\mathrm e}^{5} {\mathrm e}^{x}+x^{2}+7 x +10}}}{\left(5+x \right) \left(2 \,{\mathrm e}^{5} {\mathrm e}^{x}+2+x \right)}$&$171$\\ \hline \end{longtable}"," ",0,"exp(2*x^2/(5+x)/(x+2*exp(5+x)+2))","A"
8,1,675,33,1.141000," ","int((((5*x^3+20*x^2)*ln(x)^2+(-2*x-8)*ln(x)-2*x-8)*ln(x^3+4*x^2)^2+(-x-4)*ln(x)^2*ln(x^3+4*x^2)+(-3*x-8)*ln(x)^2)/(((5*x^4+22*x^3+8*x^2)*ln(x)^2+(2*x^2+8*x)*ln(x))*ln(x^3+4*x^2)^2+(x^2+4*x)*ln(x)^2*ln(x^3+4*x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(5 x +2\right)-\ln \left(\ln \left(x \right)\right)+\ln \left(\ln \left(x \right)+\frac{2}{\left(5 x +2\right) x}\right)+\ln \left(\ln \left(4+x \right)-\frac{i \left(5 \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \ln \left(x \right)-10 \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \ln \left(x \right)+5 \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \ln \left(x \right)+5 \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right) \ln \left(x \right)-5 \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right)^{2} \ln \left(x \right)-5 \pi  \,x^{2} \mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right)^{2} \ln \left(x \right)+5 \pi  \,x^{2} \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right)^{3} \ln \left(x \right)+2 \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \ln \left(x \right)-4 \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \ln \left(x \right)+2 \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3} \ln \left(x \right)+2 \pi  x \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right) \ln \left(x \right)-2 \pi  x \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right)^{2} \ln \left(x \right)-2 \pi  x \,\mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right)^{2} \ln \left(x \right)+2 \pi  x \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right)^{3} \ln \left(x \right)+10 i \ln \left(x \right)+2 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-4 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+2 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right)-2 \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right)^{2}-2 \pi  \,\mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right)^{2}+2 \pi  \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right)^{3}+8 i x \ln \left(x \right)^{2}+20 i x^{2} \ln \left(x \right)^{2}\right)}{2 \left(5 x^{2} \ln \left(x \right)+2 x \ln \left(x \right)+2\right)}\right)-\ln \left(\ln \left(4+x \right)-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right)-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2} \left(4+x \right)\right)^{3}+4 i \ln \left(x \right)\right)}{2}\right)$&$675$\\ \hline \end{longtable}"," ",0,"ln(5*x+2)-ln(ln(x))+ln(ln(x)+2/(5*x+2)/x)+ln(ln(4+x)-1/2*I*(5*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)*ln(x)-10*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2*ln(x)+5*Pi*x^2*csgn(I*x^2)^3*ln(x)+5*Pi*x^2*csgn(I*x^2)*csgn(I*(4+x))*csgn(I*x^2*(4+x))*ln(x)-5*Pi*x^2*csgn(I*x^2)*csgn(I*x^2*(4+x))^2*ln(x)-5*Pi*x^2*csgn(I*(4+x))*csgn(I*x^2*(4+x))^2*ln(x)+5*Pi*x^2*csgn(I*x^2*(4+x))^3*ln(x)+2*Pi*x*csgn(I*x)^2*csgn(I*x^2)*ln(x)-4*Pi*x*csgn(I*x)*csgn(I*x^2)^2*ln(x)+2*Pi*x*csgn(I*x^2)^3*ln(x)+2*Pi*x*csgn(I*x^2)*csgn(I*(4+x))*csgn(I*x^2*(4+x))*ln(x)-2*Pi*x*csgn(I*x^2)*csgn(I*x^2*(4+x))^2*ln(x)-2*Pi*x*csgn(I*(4+x))*csgn(I*x^2*(4+x))^2*ln(x)+2*Pi*x*csgn(I*x^2*(4+x))^3*ln(x)+10*I*ln(x)+2*Pi*csgn(I*x)^2*csgn(I*x^2)-4*Pi*csgn(I*x)*csgn(I*x^2)^2+2*Pi*csgn(I*x^2)^3+2*Pi*csgn(I*x^2)*csgn(I*(4+x))*csgn(I*x^2*(4+x))-2*Pi*csgn(I*x^2)*csgn(I*x^2*(4+x))^2-2*Pi*csgn(I*(4+x))*csgn(I*x^2*(4+x))^2+2*Pi*csgn(I*x^2*(4+x))^3+8*I*x*ln(x)^2+20*I*x^2*ln(x)^2)/(5*x^2*ln(x)+2*x*ln(x)+2))-ln(ln(4+x)-1/2*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*(4+x))*csgn(I*x^2*(4+x))-Pi*csgn(I*x^2)*csgn(I*x^2*(4+x))^2-Pi*csgn(I*(4+x))*csgn(I*x^2*(4+x))^2+Pi*csgn(I*x^2*(4+x))^3+4*I*ln(x)))","C"
9,0,0,22,0.063000," ","int(((-2*x^3+34*x^2+392*x+800)*ln(((-25*x-100)*ln(x)+x^2+x)/(25*x+100))-6*x^3+102*x^2+1176*x+2400)/((25*x^3+200*x^2+400*x)*ln(x)-x^4-5*x^3-4*x^2),x)","\[\int \frac{\left(-2 x^{3}+34 x^{2}+392 x +800\right) \ln \left(\frac{\left(-25 x -100\right) \ln \left(x \right)+x^{2}+x}{25 x +100}\right)-6 x^{3}+102 x^{2}+1176 x +2400}{\left(25 x^{3}+200 x^{2}+400 x \right) \ln \left(x \right)-x^{4}-5 x^{3}-4 x^{2}}\, dx\]"," ",0,"int(((-2*x^3+34*x^2+392*x+800)*ln(((-25*x-100)*ln(x)+x^2+x)/(25*x+100))-6*x^3+102*x^2+1176*x+2400)/((25*x^3+200*x^2+400*x)*ln(x)-x^4-5*x^3-4*x^2),x)","F"
10,1,20,22,0.098000," ","int((2*exp(2)*ln(x)^2+(x-4)*exp(2))/(8*ln(x)^4+(-8*x+32)*ln(x)^3+(2*x^2-32*x+32)*ln(x)^2+(8*x^2-32*x)*ln(x)+8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{{\mathrm e}^{2} x}{2 \left(\ln \left(x \right)+2\right) \left(x -2 \ln \left(x \right)\right)}$&$20$\\ risch&$-\frac{{\mathrm e}^{2} x}{2 \left(x \ln \left(x \right)-2 \ln \left(x \right)^{2}+2 x -4 \ln \left(x \right)\right)}$&$26$\\ \hline \end{longtable}"," ",0,"-1/2*exp(2)*x/(ln(x)+2)/(x-2*ln(x))","A"
11,1,599,28,0.279000," ","int((((-x^2-5*x)*ln(5+x)-4*x)*ln(x^2)^2+(((2*x^3+14*x^2+20*x)*exp(x)-8*x^2-44*x-20)*ln(5+x)+(-2*x^4-12*x^3-10*x^2+8*x)*exp(x)+4*x^3+24*x^2+4*x)*ln(x^2)+((-2*x^3-13*x^2-15*x)*exp(x)^2+(4*x^3+32*x^2+64*x+20)*exp(x)-12*x^2-68*x-40)*ln(5+x)+(2*x^4+12*x^3+10*x^2-4*x)*exp(x)^2+(-4*x^4-28*x^3-44*x^2-4*x)*exp(x)+8*x^3+48*x^2+24*x)/((x^2+5*x)*ln(5+x)^2+(-2*x^3-10*x^2)*ln(5+x)+x^4+5*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16+16 x -16 x \,{\mathrm e}^{x} \ln \left(x \right)+4 \,{\mathrm e}^{2 x}+32 \ln \left(x \right)+16 \ln \left(x \right)^{2}-16 \,{\mathrm e}^{x}+4 x \,{\mathrm e}^{2 x}-16 \,{\mathrm e}^{x} \ln \left(x \right)+16 x \ln \left(x \right)^{2}-16 \,{\mathrm e}^{x} x +32 x \ln \left(x \right)+4 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}-8 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}-8 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \ln \left(x \right)+16 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \ln \left(x \right)-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}+4 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}-\pi^{2} x \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}+4 \pi^{2} x \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-6 \pi^{2} x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+4 \pi^{2} x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-8 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-8 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+16 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-8 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-8 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}-8 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+16 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-8 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3} \ln \left(x \right)+4 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}-8 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+16 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}-8 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}+4 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-6 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-\pi^{2} x \mathrm{csgn}\left(i x^{2}\right)^{6}}{4 x -4 \ln \left(5+x \right)}$&$599$\\ \hline \end{longtable}"," ",0,"1/4*(16+16*x-16*x*exp(x)*ln(x)+4*exp(2*x)+32*ln(x)+16*ln(x)^2-16*exp(x)+4*x*exp(2*x)-16*exp(x)*ln(x)+16*x*ln(x)^2-16*exp(x)*x+32*x*ln(x)+4*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)*exp(x)-8*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2*exp(x)-8*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)*ln(x)+16*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2*ln(x)-Pi^2*csgn(I*x^2)^6-Pi^2*x*csgn(I*x)^4*csgn(I*x^2)^2+4*Pi^2*x*csgn(I*x)^3*csgn(I*x^2)^3-6*Pi^2*x*csgn(I*x)^2*csgn(I*x^2)^4+4*Pi^2*x*csgn(I*x)*csgn(I*x^2)^5-8*I*Pi*x*csgn(I*x^2)^3-8*I*Pi*csgn(I*x)^2*csgn(I*x^2)+16*I*Pi*csgn(I*x)*csgn(I*x^2)^2-8*I*ln(x)*Pi*csgn(I*x^2)^3+4*I*Pi*csgn(I*x^2)^3*exp(x)-8*I*Pi*csgn(I*x^2)^3-Pi^2*csgn(I*x)^4*csgn(I*x^2)^2+4*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3-6*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4+4*Pi^2*csgn(I*x)*csgn(I*x^2)^5-Pi^2*x*csgn(I*x^2)^6-8*I*Pi*csgn(I*x)*csgn(I*x^2)^2*exp(x)-8*I*ln(x)*Pi*csgn(I*x)^2*csgn(I*x^2)+16*I*ln(x)*Pi*csgn(I*x)*csgn(I*x^2)^2-8*I*Pi*x*csgn(I*x^2)^3*ln(x)+4*I*Pi*x*csgn(I*x^2)^3*exp(x)-8*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)+16*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2+4*I*Pi*csgn(I*x)^2*csgn(I*x^2)*exp(x))/(x-ln(5+x))","C"
12,1,14,22,0.252000," ","int(((3*x-2)*ln(3*x-2)-3*x*ln(x))/(3*x^2-2*x)/ln(x)/ln(3*x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(x \right)\right)-\ln \left(\ln \left(3 x -2\right)\right)$&$14$\\ norman&$\ln \left(\ln \left(x \right)\right)-\ln \left(\ln \left(3 x -2\right)\right)$&$14$\\ risch&$\ln \left(\ln \left(x \right)\right)-\ln \left(\ln \left(3 x -2\right)\right)$&$14$\\ \hline \end{longtable}"," ",0,"ln(ln(x))-ln(ln(3*x-2))","A"
13,1,68,25,0.123000," ","int(((2*x^5+2*x^2+6*x)*ln(x)*ln(x^4+x+3)^5*ln(ln(x))^5+(-50*x^5-50*x^2-150*x)*ln(x)*ln(x^4+x+3)^5*ln(ln(x))^4+((500*x^5+500*x^2+1500*x)*ln(x)*ln(x^4+x+3)^5+(-16*x^5-16*x^2-48*x)*ln(x)*ln(x^4+x+3)^3+(64*x^5+16*x^2)*ln(x)*ln(x^4+x+3)^2)*ln(ln(x))^3+((-2500*x^5-2500*x^2-7500*x)*ln(x)*ln(x^4+x+3)^5+((240*x^5+240*x^2+720*x)*ln(x)+16*x^5+16*x^2+48*x)*ln(x^4+x+3)^3+(-960*x^5-240*x^2)*ln(x)*ln(x^4+x+3)^2)*ln(ln(x))^2+((6250*x^5+6250*x^2+18750*x)*ln(x)*ln(x^4+x+3)^5+((-1200*x^5-1200*x^2-3600*x)*ln(x)-160*x^5-160*x^2-480*x)*ln(x^4+x+3)^3+(4800*x^5+1200*x^2)*ln(x)*ln(x^4+x+3)^2+(32*x^5+32*x^2+96*x)*ln(x)*ln(x^4+x+3)+(-256*x^5-64*x^2)*ln(x))*ln(ln(x))+(-6250*x^5-6250*x^2-18750*x)*ln(x)*ln(x^4+x+3)^5+((2000*x^5+2000*x^2+6000*x)*ln(x)+400*x^5+400*x^2+1200*x)*ln(x^4+x+3)^3+(-8000*x^5-2000*x^2)*ln(x)*ln(x^4+x+3)^2+((-160*x^5-160*x^2-480*x)*ln(x)-64*x^5-64*x^2-192*x)*ln(x^4+x+3)+(1280*x^5+320*x^2)*ln(x))/((x^4+x+3)*ln(x)*ln(x^4+x+3)^5*ln(ln(x))^5+(-25*x^4-25*x-75)*ln(x)*ln(x^4+x+3)^5*ln(ln(x))^4+(250*x^4+250*x+750)*ln(x)*ln(x^4+x+3)^5*ln(ln(x))^3+(-1250*x^4-1250*x-3750)*ln(x)*ln(x^4+x+3)^5*ln(ln(x))^2+(3125*x^4+3125*x+9375)*ln(x)*ln(x^4+x+3)^5*ln(ln(x))+(-3125*x^4-3125*x-9375)*ln(x)*ln(x^4+x+3)^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{8 x^{2} \left(\ln \left(x^{4}+x +3\right)^{2} \ln \left(\ln \left(x \right)\right)^{2}-10 \ln \left(x^{4}+x +3\right)^{2} \ln \left(\ln \left(x \right)\right)+25 \ln \left(x^{4}+x +3\right)^{2}-2\right)}{\ln \left(x^{4}+x +3\right)^{4} \left(\ln \left(\ln \left(x \right)\right)-5\right)^{4}}$&$68$\\ \hline \end{longtable}"," ",0,"x^2-8*x^2*(ln(x^4+x+3)^2*ln(ln(x))^2-10*ln(x^4+x+3)^2*ln(ln(x))+25*ln(x^4+x+3)^2-2)/ln(x^4+x+3)^4/(ln(ln(x))-5)^4","B"
14,1,45,28,0.100000," ","int(((-4*x^5-4*x^4-2*x^3-2*x^2)*exp(x)^5+(-12*x^6-12*x^5-6*x^4-6*x^3)*exp(x)^4+(-12*x^7-12*x^6-6*x^5-6*x^4+8*x^3+2*x^2+4*x-1)*exp(x)^3+(-4*x^8-4*x^7-2*x^6+6*x^5+8*x^4+10*x^3+4*x^2-3*x)*exp(x)^2+(8*x^6+10*x^4+16*x^3-3*x^2+8*x)*exp(x)+2*x^5+15*x^3+8*x)/((2*x^3+x)*exp(x)^3+(6*x^4+3*x^2)*exp(x)^2+(6*x^5+3*x^3)*exp(x)+2*x^6+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x -\ln \left(x \right)+\ln \left(2 x^{2}+1\right)-{\mathrm e}^{2 x} x^{2}-\frac{4 \left(x^{3}+{\mathrm e}^{x} x^{2}+1\right)}{\left({\mathrm e}^{x}+x \right)^{2}}$&$45$\\ \hline \end{longtable}"," ",0,"4*x-ln(x)+ln(2*x^2+1)-exp(2*x)*x^2-4*(x^3+exp(x)*x^2+1)/(exp(x)+x)^2","A"
15,1,34,28,0.342000," ","int(((-2*x^7-6*x^6-4*x^5-12*x^3+12*x^2-24)*exp(x^2+4)-7*x^2+15*x+40)/(x^10+15*x^9+110*x^8+510*x^7+1645*x^6+3843*x^5+6580*x^4+8160*x^3+7040*x^2+3840*x+1024),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x -3-{\mathrm e}^{x^{2}+4} x^{4}+2 \,{\mathrm e}^{x^{2}+4}}{\left(x^{2}+3 x +4\right)^{4}}$&$34$\\ risch&$\frac{x -3}{x^{8}+12 x^{7}+70 x^{6}+252 x^{5}+609 x^{4}+1008 x^{3}+1120 x^{2}+768 x +256}-\frac{\left(x^{4}-2\right) {\mathrm e}^{x^{2}+4}}{\left(x^{2}+3 x +4\right)^{4}}$&$69$\\ \hline \end{longtable}"," ",0,"(x-3-exp(x^2+4)*x^4+2*exp(x^2+4))/(x^2+3*x+4)^4","A"
16,1,18,13,0.144000," ","int((8*exp(4)^2-8*x^2+648)/(exp(4)^4+4*x*exp(4)^3+(6*x^2+162)*exp(4)^2+(4*x^3+324*x)*exp(4)+x^4+162*x^2+6561),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 x}{{\mathrm e}^{8}+2 x \,{\mathrm e}^{4}+x^{2}+81}$&$18$\\ gosper&$\frac{8 x}{{\mathrm e}^{8}+2 x \,{\mathrm e}^{4}+x^{2}+81}$&$20$\\ norman&$\frac{8 x}{{\mathrm e}^{8}+2 x \,{\mathrm e}^{4}+x^{2}+81}$&$20$\\ default&$2 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+4 \textit{\_Z}^{3} {\mathrm e}^{4}+\left(6 \,{\mathrm e}^{8}+162\right) \textit{\_Z}^{2}+\left(4 \,{\mathrm e}^{12}+324 \,{\mathrm e}^{4}\right) \textit{\_Z} +{\mathrm e}^{16}+6561+162 \,{\mathrm e}^{8}\right)}{\sum}\frac{\left({\mathrm e}^{8}-\textit{\_R}^{2}+81\right) \ln \left(x -\textit{\_R} \right)}{{\mathrm e}^{12}+3 \textit{\_R} \,{\mathrm e}^{8}+3 \textit{\_R}^{2} {\mathrm e}^{4}+\textit{\_R}^{3}+81 \,{\mathrm e}^{4}+81 \textit{\_R}}\right)$&$89$\\ \hline \end{longtable}"," ",0,"8*x/(exp(8)+2*x*exp(4)+x^2+81)","A"
17,1,18,14,0.044000," ","int((1-x)*ln(2)*exp(2-x)+2*x+6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$6 x +{\mathrm e}^{2-x} \ln \left(2\right) x +x^{2}$&$18$\\ norman&$6 x +{\mathrm e}^{2-x} \ln \left(2\right) x +x^{2}$&$18$\\ risch&$6 x +{\mathrm e}^{2-x} \ln \left(2\right) x +x^{2}$&$18$\\ derivativedivides&$\left(2-x \right)^{2}-20+10 x -\ln \left(2\right) {\mathrm e}^{2-x} \left(2-x \right)+2 \,{\mathrm e}^{2-x} \ln \left(2\right)$&$38$\\ \hline \end{longtable}"," ",0,"6*x+exp(2-x)*ln(2)*x+x^2","A"
18,1,70,11,0.059000," ","int(-4*x^7*ln(x)^8+(-4*x^7-168*x^6)*ln(x)^7+(-168*x^6-3024*x^5)*ln(x)^6+(-3024*x^5-30240*x^4)*ln(x)^5+(-30240*x^4-181440*x^3)*ln(x)^4+(-181440*x^3-653184*x^2)*ln(x)^3+(-653184*x^2-1306368*x)*ln(x)^2+(-1306368*x-1119744)*ln(x)-1119744,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-6048 x^{5} \ln \left(x \right)^{5}-504 x^{6} \ln \left(x \right)^{6}-24 x^{7} \ln \left(x \right)^{7}-653184 x^{2} \ln \left(x \right)^{2}-217728 x^{3} \ln \left(x \right)^{3}-1119744 x \ln \left(x \right)-45360 x^{4} \ln \left(x \right)^{4}-\frac{x^{8} \ln \left(x \right)^{8}}{2}$&$70$\\ risch&$-6048 x^{5} \ln \left(x \right)^{5}-504 x^{6} \ln \left(x \right)^{6}-24 x^{7} \ln \left(x \right)^{7}-653184 x^{2} \ln \left(x \right)^{2}-217728 x^{3} \ln \left(x \right)^{3}-1119744 x \ln \left(x \right)-45360 x^{4} \ln \left(x \right)^{4}-\frac{x^{8} \ln \left(x \right)^{8}}{2}$&$70$\\ \hline \end{longtable}"," ",0,"-6048*x^5*ln(x)^5-504*x^6*ln(x)^6-24*x^7*ln(x)^7-653184*x^2*ln(x)^2-217728*x^3*ln(x)^3-1119744*x*ln(x)-45360*x^4*ln(x)^4-1/2*x^8*ln(x)^8","B"
19,1,62,28,1.602000," ","int(((2*(-8*x+12)*ln(2)-16*x^3+72*x^2-80*x+12)*exp(x)^3+(16*ln(2)^2+2*(16*x^2-80*x+52)*ln(2)+16*x^4-160*x^3+440*x^2-328*x+24)*exp(x)^2+(32*ln(2)^2+2*(32*x^2-128*x+48)*ln(2)+32*x^4-256*x^3+576*x^2-288*x)*exp(x))/((8*ln(2)^3+4*(6*x^2-18*x)*ln(2)^2+2*(12*x^4-72*x^3+108*x^2)*ln(2)+8*x^6-72*x^5+216*x^4-216*x^3)*exp(x)^3+(48*ln(2)^3+4*(36*x^2-108*x)*ln(2)^2+2*(72*x^4-432*x^3+648*x^2)*ln(2)+48*x^6-432*x^5+1296*x^4-1296*x^3)*exp(x)^2+(96*ln(2)^3+4*(72*x^2-216*x)*ln(2)^2+2*(144*x^4-864*x^3+1296*x^2)*ln(2)+96*x^6-864*x^5+2592*x^4-2592*x^3)*exp(x)+64*ln(2)^3+4*(48*x^2-144*x)*ln(2)^2+2*(96*x^4-576*x^3+864*x^2)*ln(2)+64*x^6-576*x^5+1728*x^4-1728*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \,{\mathrm e}^{x} \ln \left(2\right)+\left(\ln \left(2\right)+\frac{1}{4}\right) {\mathrm e}^{2 x}-6 \,{\mathrm e}^{x} x +{\mathrm e}^{2 x} x^{2}+2 \,{\mathrm e}^{x} x^{2}-3 x \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{x}+2\right)^{2} \left(x^{2}+\ln \left(2\right)-3 x \right)^{2}}$&$62$\\ risch&$\frac{\frac{1}{4}+x^{2}-3 x +\ln \left(2\right)}{x^{4}+2 x^{2} \ln \left(2\right)-6 x^{3}+\ln \left(2\right)^{2}-6 x \ln \left(2\right)+9 x^{2}}-\frac{2 \,{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{x} \ln \left(2\right)+4 x^{2}-6 \,{\mathrm e}^{x} x +4 \ln \left(2\right)-12 x +{\mathrm e}^{x}+1}{\left(x^{4}+2 x^{2} \ln \left(2\right)-6 x^{3}+\ln \left(2\right)^{2}-6 x \ln \left(2\right)+9 x^{2}\right) \left({\mathrm e}^{x}+2\right)^{2}}$&$119$\\ \hline \end{longtable}"," ",0,"(2*exp(x)*ln(2)+(ln(2)+1/4)*exp(x)^2-6*exp(x)*x+exp(x)^2*x^2+2*exp(x)*x^2-3*x*exp(x)^2)/(exp(x)+2)^2/(x^2+ln(2)-3*x)^2","B"
20,1,30,24,0.077000," ","int(((2*x^5-2*x^4+4*x^3-12*x^2+12*x-4)*exp(x)-x^5+3*x^4-6*x^3+6*x^2-6*x+2)*exp(2*exp(x)-x)/(6*x^3-18*x^2+18*x-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{4}+2 x^{2}-4 x +2\right) {\mathrm e}^{2 \,{\mathrm e}^{x}-x}}{6 \left(x -1\right)^{2}}$&$30$\\ norman&$\frac{-\frac{2 x \,{\mathrm e}^{2 \,{\mathrm e}^{x}-x}}{3}+\frac{x^{2} {\mathrm e}^{2 \,{\mathrm e}^{x}-x}}{3}+\frac{x^{4} {\mathrm e}^{2 \,{\mathrm e}^{x}-x}}{6}+\frac{{\mathrm e}^{2 \,{\mathrm e}^{x}-x}}{3}}{\left(x -1\right)^{2}}$&$59$\\ \hline \end{longtable}"," ",0,"1/6*(x^4+2*x^2-4*x+2)/(x-1)^2*exp(2*exp(x)-x)","A"
21,1,44,26,0.292000," ","int(((-4*x^3*exp(5)+20*x^3)*ln(x)^3+(4*x^2+40*x+100)*exp(2)*ln(x)+(4*x^2+40*x+100)*exp(2))/(((2*x^4+10*x^3)*exp(5)+2*x^5+10*x^4)*ln(x)^3+(-x^3-10*x^2-25*x)*exp(2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(5+x \right)+2 \ln \left({\mathrm e}^{5}+x \right)+2 \ln \left(\ln \left(x \right)^{2}-\frac{{\mathrm e}^{2} \left(5+x \right)}{2 \left({\mathrm e}^{5}+x \right) x^{2}}\right)-4 \ln \left(\ln \left(x \right)\right)$&$44$\\ norman&$-4 \ln \left(x \right)-4 \ln \left(\ln \left(x \right)\right)-2 \ln \left(5+x \right)+2 \ln \left(2 x^{2} {\mathrm e}^{5} \ln \left(x \right)^{2}+2 x^{3} \ln \left(x \right)^{2}-{\mathrm e}^{2} x -5 \,{\mathrm e}^{2}\right)$&$50$\\ \hline \end{longtable}"," ",0,"-2*ln(5+x)+2*ln(exp(5)+x)+2*ln(ln(x)^2-1/2*exp(2)*(5+x)/(exp(5)+x)/x^2)-4*ln(ln(x))","A"
22,1,17,15,0.018000," ","int(5*exp(x)-3*x^2+6*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{3}+3 x^{2}+x +5 \,{\mathrm e}^{x}$&$17$\\ norman&$-x^{3}+3 x^{2}+x +5 \,{\mathrm e}^{x}$&$17$\\ risch&$-x^{3}+3 x^{2}+x +5 \,{\mathrm e}^{x}$&$17$\\ \hline \end{longtable}"," ",0,"-x^3+3*x^2+x+5*exp(x)","A"
23,1,19,21,0.208000," ","int((((x^8*exp(2)^2-4*x^4*exp(2)+4)*exp(5/(x^4*exp(2)-2))-x^8*exp(2)^2+4*x^4*exp(2)-4)*ln(exp(5/(x^4*exp(2)-2))-1)-20*x^4*exp(2)*exp(5/(x^4*exp(2)-2)))/((x^8*exp(2)^2-4*x^4*exp(2)+4)*exp(5/(x^4*exp(2)-2))-x^8*exp(2)^2+4*x^4*exp(2)-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left({\mathrm e}^{\frac{5}{x^{4} {\mathrm e}^{2}-2}}-1\right)$&$19$\\ \hline \end{longtable}"," ",0,"x*ln(exp(5/(x^4*exp(2)-2))-1)","A"
24,1,27,26,0.025000," ","int(((5*x^2+4*x)*ln(x)-8*x^7-25*x^6-12*x^5+2*x^3+15*x^2+10*x)*exp((x^2*ln(x)-x^6+2*x^2)/(2*x^2+5*x+2))/(4*x^4+20*x^3+33*x^2+20*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{2} \left(2-x^{4}+\ln \left(x \right)\right)}{\left(2+x \right) \left(2 x +1\right)}}$&$27$\\ \hline \end{longtable}"," ",0,"exp(x^2*(2-x^4+ln(x))/(2+x)/(2*x+1))","A"
25,1,19,18,0.266000," ","int(108/(11*x^2-68*x-160)/ln((-10*x+80)*exp(exp(4))/(11*x+20)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(\frac{\left(-10 x +80\right) {\mathrm e}^{{\mathrm e}^{4}}}{11 x +20}\right)\right)$&$19$\\ risch&$\ln \left(\ln \left(\frac{\left(-10 x +80\right) {\mathrm e}^{{\mathrm e}^{4}}}{11 x +20}\right)\right)$&$19$\\ derivativedivides&$\ln \left(\ln \left(-\frac{10 \,{\mathrm e}^{{\mathrm e}^{4}}}{11}+\frac{1080 \,{\mathrm e}^{{\mathrm e}^{4}}}{11 \left(11 x +20\right)}\right)\right)$&$21$\\ default&$\ln \left(\ln \left(-\frac{10 \,{\mathrm e}^{{\mathrm e}^{4}}}{11}+\frac{1080 \,{\mathrm e}^{{\mathrm e}^{4}}}{11 \left(11 x +20\right)}\right)\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(ln((-10*x+80)*exp(exp(4))/(11*x+20)))","A"
26,1,16,17,0.041000," ","int(-50*x^4/(exp(2)-exp(1)-10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{10 x^{5}}{{\mathrm e}^{2}-{\mathrm e}-10}$&$16$\\ default&$-\frac{10 x^{5}}{{\mathrm e}^{2}-{\mathrm e}-10}$&$16$\\ norman&$-\frac{10 x^{5}}{{\mathrm e}^{2}-{\mathrm e}-10}$&$16$\\ risch&$-\frac{10 x^{5}}{{\mathrm e}^{2}-{\mathrm e}-10}$&$16$\\ \hline \end{longtable}"," ",0,"-10*x^5/(exp(2)-exp(1)-10)","A"
27,1,49,22,0.059000," ","int((-16*x+2)*exp(-2*x^2+1/2*x)^4+(-32*x^3-12*x^2-86*x+14)*exp(-2*x^2+1/2*x)^2+16*x^3+12*x^2+50*x+12,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-2 x \left(4 x -1\right)}+\left(4 x^{2}+2 x +12\right) {\mathrm e}^{-x \left(4 x -1\right)}+4 x^{4}+4 x^{3}+25 x^{2}+12 x$&$49$\\ default&$12 x +{\mathrm e}^{-8 x^{2}+2 x}+12 \,{\mathrm e}^{-4 x^{2}+x}+2 x \,{\mathrm e}^{-4 x^{2}+x}+4 x^{2} {\mathrm e}^{-4 x^{2}+x}+25 x^{2}+4 x^{3}+4 x^{4}$&$64$\\ norman&$12 x +{\mathrm e}^{-8 x^{2}+2 x}+12 \,{\mathrm e}^{-4 x^{2}+x}+2 x \,{\mathrm e}^{-4 x^{2}+x}+4 x^{2} {\mathrm e}^{-4 x^{2}+x}+25 x^{2}+4 x^{3}+4 x^{4}$&$78$\\ \hline \end{longtable}"," ",0,"exp(-2*x*(4*x-1))+(4*x^2+2*x+12)*exp(-x*(4*x-1))+4*x^4+4*x^3+25*x^2+12*x","B"
28,1,12,12,0.019000," ","int((x^2-x+5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\ln \left(x \right)-\frac{5}{x}$&$12$\\ risch&$x -\ln \left(x \right)-\frac{5}{x}$&$12$\\ norman&$\frac{x^{2}-5}{x}-\ln \left(x \right)$&$15$\\ \hline \end{longtable}"," ",0,"x-ln(x)-5/x","A"
29,1,16,16,0.051000," ","int(((10*x^2+30*x)*ln(2*x+6)+5*x^2+x+3)/((5*x^3+15*x^2)*ln(2*x+6)+x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)+\ln \left(5 x \ln \left(2 x +6\right)+1\right)$&$16$\\ risch&$2 \ln \left(x \right)+\ln \left(\ln \left(2 x +6\right)+\frac{1}{5 x}\right)$&$19$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(5*x*ln(2*x+6)+1)","A"
30,1,18,17,0.038000," ","int(((2*x^3+2*x^2+x+1)*ln(2*(x^2+x)*ln(2))+2*x+1)/(x^2+x)/ln(2*(x^2+x)*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\ln \left(x \right)+\ln \left(\ln \left(2 \left(x^{2}+x \right) \ln \left(2\right)\right)\right)$&$18$\\ risch&$x^{2}+\ln \left(x \right)+\ln \left(\ln \left(2 \left(x^{2}+x \right) \ln \left(2\right)\right)\right)$&$18$\\ \hline \end{longtable}"," ",0,"x^2+ln(x)+ln(ln(2*(x^2+x)*ln(2)))","A"
31,1,19,18,0.035000," ","int((x^3*exp(x)*ln(5*x)^2+2*x^2*exp(x)*ln(5*x)+3*x^3-18)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x +\ln \left(5 x \right)^{2} {\mathrm e}^{x}+\frac{9}{x^{2}}$&$19$\\ risch&$\ln \left(5 x \right)^{2} {\mathrm e}^{x}+\frac{3 x^{3}+9}{x^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"3*x+ln(5*x)^2*exp(x)+9/x^2","A"
32,1,20,17,0.044000," ","int(((-2*x^5-4*x^3)*exp(x^2)+3*x^2+20*x)*exp(-x^4*exp(x^2)+x^3+10*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-x^{4} {\mathrm e}^{x^{2}}+x^{3}+10 x^{2}}$&$20$\\ risch&${\mathrm e}^{-x^{2} \left(x^{2} {\mathrm e}^{x^{2}}-x -10\right)}$&$20$\\ \hline \end{longtable}"," ",0,"exp(-x^4*exp(x^2)+x^3+10*x^2)","A"
33,1,34,21,0.149000," ","int((2*x^7+24*x^6+96*x^5+100*x^4-144*x^3-168*x^2+18*x)*exp((x^5+6*x^4+6*x^3-x^2)/(x^3+6*x^2+6*x-9))/(x^6+12*x^5+48*x^4+54*x^3-72*x^2-108*x+81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{x^{2} \left(x^{3}+6 x^{2}+6 x -1\right)}{x^{3}+6 x^{2}+6 x -9}}$&$34$\\ risch&${\mathrm e}^{\frac{x^{2} \left(x^{3}+6 x^{2}+6 x -1\right)}{\left(3+x \right) \left(x^{2}+3 x -3\right)}}$&$34$\\ norman&$\frac{x^{3} {\mathrm e}^{\frac{x^{5}+6 x^{4}+6 x^{3}-x^{2}}{x^{3}+6 x^{2}+6 x -9}}+6 x \,{\mathrm e}^{\frac{x^{5}+6 x^{4}+6 x^{3}-x^{2}}{x^{3}+6 x^{2}+6 x -9}}+6 x^{2} {\mathrm e}^{\frac{x^{5}+6 x^{4}+6 x^{3}-x^{2}}{x^{3}+6 x^{2}+6 x -9}}-9 \,{\mathrm e}^{\frac{x^{5}+6 x^{4}+6 x^{3}-x^{2}}{x^{3}+6 x^{2}+6 x -9}}}{x^{3}+6 x^{2}+6 x -9}$&$176$\\ \hline \end{longtable}"," ",0,"exp(x^2*(x^3+6*x^2+6*x-1)/(x^3+6*x^2+6*x-9))","A"
34,1,17,19,0.109000," ","int((3*x^2-2*x)*exp(-x^2/(6*x-2))^2*exp(exp(-x^2/(6*x-2))^2)/(9*x^2-6*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{{\mathrm e}^{-\frac{x^{2}}{3 x -1}}}$&$17$\\ norman&$\frac{-3 x \,{\mathrm e}^{{\mathrm e}^{-\frac{2 x^{2}}{6 x -2}}}+{\mathrm e}^{{\mathrm e}^{-\frac{2 x^{2}}{6 x -2}}}}{3 x -1}$&$45$\\ \hline \end{longtable}"," ",0,"-exp(exp(-x^2/(3*x-1)))","A"
35,1,17,16,0.019000," ","int((-2*x^2-95*x-91)*exp(x)+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-91 \,{\mathrm e}^{x} x -2 \,{\mathrm e}^{x} x^{2}+x^{2}$&$17$\\ norman&$-91 \,{\mathrm e}^{x} x -2 \,{\mathrm e}^{x} x^{2}+x^{2}$&$17$\\ risch&$\left(-2 x^{2}-91 x \right) {\mathrm e}^{x}+x^{2}$&$17$\\ \hline \end{longtable}"," ",0,"-91*exp(x)*x-2*exp(x)*x^2+x^2","A"
36,1,28,22,0.109000," ","int((5*x^5-32*x^4+72*x^3-64*x^2+11*x+5)*exp(5*ln(5*x)+x^5-8*x^4+24*x^3-32*x^2+11*x)^2/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9765625 x^{10} {\mathrm e}^{2 x \left(x^{4}-8 x^{3}+24 x^{2}-32 x +11\right)}}{2}$&$28$\\ gosper&$\frac{9765625 x^{10} {\mathrm e}^{2 x^{5}-16 x^{4}+48 x^{3}-64 x^{2}+22 x}}{2}$&$34$\\ meijerg&$\frac{\sqrt{10}\, \sqrt{\pi}\, \erfi \left(x^{5} \sqrt{10}\, \sqrt{\ln \left(5\right)}\right)}{20 \sqrt{\ln \left(5\right)}}+\frac{8 \,8^{\frac{1}{5}} 25^{\frac{4}{5}} \left(-1\right)^{\frac{3}{5}} \left(\frac{x^{4} \left(-1\right)^{\frac{2}{5}} \ln \left(5\right)^{\frac{2}{5}} \pi  \csc \left(\frac{2 \pi}{5}\right)}{\Gamma \left(\frac{3}{5}\right) \left(-x^{10} \ln \left(5\right)\right)^{\frac{2}{5}}}-\frac{x^{4} \left(-1\right)^{\frac{2}{5}} \ln \left(5\right)^{\frac{2}{5}} \Gamma \left(\frac{2}{5}, -10 x^{10} \ln \left(5\right)\right)}{\left(-x^{10} \ln \left(5\right)\right)^{\frac{2}{5}}}\right)}{125 \ln \left(5\right)^{\frac{2}{5}}}-\frac{18 \,128^{\frac{1}{10}} 125^{\frac{9}{10}} \left(-1\right)^{\frac{7}{10}} \left(\frac{x^{3} \left(-1\right)^{\frac{3}{10}} \ln \left(5\right)^{\frac{3}{10}} \pi  \csc \left(\frac{3 \pi}{10}\right)}{\Gamma \left(\frac{7}{10}\right) \left(-x^{10} \ln \left(5\right)\right)^{\frac{3}{10}}}-\frac{x^{3} \left(-1\right)^{\frac{3}{10}} \ln \left(5\right)^{\frac{3}{10}} \Gamma \left(\frac{3}{10}, -10 x^{10} \ln \left(5\right)\right)}{\left(-x^{10} \ln \left(5\right)\right)^{\frac{3}{10}}}\right)}{625 \ln \left(5\right)^{\frac{3}{10}}}+\frac{16 \,16^{\frac{1}{5}} 5^{\frac{4}{5}} \left(-1\right)^{\frac{4}{5}} \left(\frac{x^{2} \left(-1\right)^{\frac{1}{5}} \ln \left(5\right)^{\frac{1}{5}} \pi  \csc \left(\frac{\pi}{5}\right)}{\Gamma \left(\frac{4}{5}\right) \left(-x^{10} \ln \left(5\right)\right)^{\frac{1}{5}}}-\frac{x^{2} \left(-1\right)^{\frac{1}{5}} \ln \left(5\right)^{\frac{1}{5}} \Gamma \left(\frac{1}{5}, -10 x^{10} \ln \left(5\right)\right)}{\left(-x^{10} \ln \left(5\right)\right)^{\frac{1}{5}}}\right)}{25 \ln \left(5\right)^{\frac{1}{5}}}-\frac{11 \,10^{\frac{9}{10}} \left(-1\right)^{\frac{9}{10}} \left(\frac{x \left(-1\right)^{\frac{1}{10}} \ln \left(5\right)^{\frac{1}{10}} \pi  \csc \left(\frac{\pi}{10}\right)}{\Gamma \left(\frac{9}{10}\right) \left(-x^{10} \ln \left(5\right)\right)^{\frac{1}{10}}}-\frac{x \left(-1\right)^{\frac{1}{10}} \ln \left(5\right)^{\frac{1}{10}} \Gamma \left(\frac{1}{10}, -10 x^{10} \ln \left(5\right)\right)}{\left(-x^{10} \ln \left(5\right)\right)^{\frac{1}{10}}}\right)}{100 \ln \left(5\right)^{\frac{1}{10}}}-\frac{\ln \left(-10 x^{10} \ln \left(5\right)\right)}{2}-\frac{\expIntegralEi \left(1, -10 x^{10} \ln \left(5\right)\right)}{2}+5 \ln \left(x \right)+\frac{i \pi}{2}+\frac{\ln \left(2\right)}{2}+\frac{\ln \left(5\right)}{2}+\frac{\ln \left(\ln \left(5\right)\right)}{2}$&$361$\\ \hline \end{longtable}"," ",0,"9765625/2*x^10*exp(2*x*(x^4-8*x^3+24*x^2-32*x+11))","A"
37,1,25,19,0.025000," ","int((-6*x^2*ln(x)^6-36*x^3*ln(x)^5+(-90*x^4+72*x^2)*ln(x)^4+(-120*x^5+288*x^3)*ln(x)^3+(-90*x^6+432*x^4-288*x^2)*ln(x)^2+(-36*x^7+288*x^5-576*x^3-20*x-20)*ln(x)-6*x^8+72*x^6-288*x^4+364*x^2-20*x)/(3*x*ln(x)^6+18*x^2*ln(x)^5+(45*x^3-36*x)*ln(x)^4+(60*x^4-144*x^2)*ln(x)^3+(45*x^5-216*x^3+144*x)*ln(x)^2+(18*x^6-144*x^4+288*x^2)*ln(x)+3*x^7-36*x^5+144*x^3-192*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+\frac{5}{3 \left(\ln \left(x \right)^{2}+2 x \ln \left(x \right)+x^{2}-4\right)^{2}}$&$25$\\ \hline \end{longtable}"," ",0,"-x^2+5/3/(ln(x)^2+2*x*ln(x)+x^2-4)^2","A"
38,1,39,28,0.173000," ","int(((8*exp(exp(x))^2+16*exp(exp(x))-2*x+2)*ln(-exp(exp(x))^2-2*exp(exp(x))+1/4*x-1/4)^2+((-8*x^2*ln(x)+4*x^2)*exp(exp(x))^2+(-16*x^2*ln(x)+8*x^2)*exp(exp(x))+(2*x^3-2*x^2)*ln(x)-x^3+x^2)*ln(-exp(exp(x))^2-2*exp(exp(x))+1/4*x-1/4)+8*x^3*exp(x)*ln(x)*exp(exp(x))^2+8*x^3*exp(x)*ln(x)*exp(exp(x))-x^3*ln(x))/((16*x*exp(exp(x))^2+32*x*exp(exp(x))-4*x^2+4*x)*ln(-exp(exp(x))^2-2*exp(exp(x))+1/4*x-1/4)^2+(16*x^3*exp(exp(x))^2+32*x^3*exp(exp(x))-4*x^4+4*x^3)*ln(-exp(exp(x))^2-2*exp(exp(x))+1/4*x-1/4)+4*x^5*exp(exp(x))^2+8*x^5*exp(exp(x))-x^6+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{2}-\frac{x^{2} \ln \left(x \right)}{2 \left(x^{2}+2 \ln \left(-{\mathrm e}^{2 \,{\mathrm e}^{x}}-2 \,{\mathrm e}^{{\mathrm e}^{x}}+\frac{x}{4}-\frac{1}{4}\right)\right)}$&$39$\\ \hline \end{longtable}"," ",0,"1/2*ln(x)-1/2*x^2*ln(x)/(x^2+2*ln(-exp(2*exp(x))-2*exp(exp(x))+1/4*x-1/4))","A"
39,1,25,27,0.042000," ","int((((-x^3-3*x^2-26*x)*exp(x)-3*x^3-2*x^2-25*x)*ln(x)+(x^5+2*x^4+51*x^3+50*x^2+625*x)*exp(x)^3+(2*x^6+4*x^5+100*x^4+96*x^3+1148*x^2-100*x-1250)*exp(x)^2+(x^7+2*x^6+47*x^5+42*x^4+421*x^3-199*x^2-2499*x+25)*exp(x)-2*x^6-4*x^5-102*x^4-99*x^3-1249*x^2+25*x)/((x^5+2*x^4+51*x^3+50*x^2+625*x)*exp(x)^2+(2*x^6+4*x^5+102*x^4+100*x^3+1250*x^2)*exp(x)+x^7+2*x^6+51*x^5+50*x^4+625*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{\left(x^{2}+x +25\right) \left({\mathrm e}^{x}+x \right)}-2 \ln \left(x \right)+{\mathrm e}^{x}$&$25$\\ \hline \end{longtable}"," ",0,"ln(x)/(x^2+x+25)/(exp(x)+x)-2*ln(x)+exp(x)","A"
40,1,18,17,0.039000," ","int((((-92*x-575)*ln(x)+92*x+575)*ln(4*x+25)-92*x*ln(x)-92*x^2)/(16*x^3+100*x^2)/ln(4*x+25)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\frac{23 x}{4}+\frac{23 \ln \left(x \right)}{4}}{\ln \left(4 x +25\right) x}$&$18$\\ \hline \end{longtable}"," ",0,"23/4*(x+ln(x))/ln(4*x+25)/x","A"
41,1,23,22,0.112000," ","int(1/4*((-4*exp(exp(3)+exp(2))-x)*ln(5*x)+4*exp(exp(3)+exp(2)))/x^2/exp(exp(3)+exp(2))/exp(1/4*x/exp(exp(3)+exp(2))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{-\frac{x \,{\mathrm e}^{-{\mathrm e}^{3}-{\mathrm e}^{2}}}{4}} \ln \left(5 x \right)}{x}$&$23$\\ risch&$\frac{{\mathrm e}^{-\frac{x \,{\mathrm e}^{-{\mathrm e}^{3}-{\mathrm e}^{2}}}{4}} \ln \left(5 x \right)}{x}$&$23$\\ \hline \end{longtable}"," ",0,"ln(5*x)/exp(1/4*x/exp(exp(3)+exp(2)))/x","A"
42,1,23,17,0.042000," ","int(((2*x+4)*exp(17)+6)*exp(((x^2+4*x-5)*exp(17)+6*x)/exp(17))*exp(exp(((x^2+4*x-5)*exp(17)+6*x)/exp(17)))/exp(17),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{{\mathrm e}^{\left(\left(x^{2}+4 x -5\right) {\mathrm e}^{17}+6 x \right) {\mathrm e}^{-17}}}$&$23$\\ default&${\mathrm e}^{{\mathrm e}^{\left(\left(x^{2}+4 x -5\right) {\mathrm e}^{17}+6 x \right) {\mathrm e}^{-17}}}$&$23$\\ norman&${\mathrm e}^{{\mathrm e}^{\left(\left(x^{2}+4 x -5\right) {\mathrm e}^{17}+6 x \right) {\mathrm e}^{-17}}}$&$23$\\ risch&${\mathrm e}^{{\mathrm e}^{\left({\mathrm e}^{17} x^{2}+4 \,{\mathrm e}^{17} x -5 \,{\mathrm e}^{17}+6 x \right) {\mathrm e}^{-17}}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(exp(((x^2+4*x-5)*exp(17)+6*x)/exp(17)))","A"
43,1,8,7,0.012000," ","int(90*exp(10*x)*exp(9*exp(10*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{9 \,{\mathrm e}^{10 x}}$&$8$\\ default&${\mathrm e}^{9 \,{\mathrm e}^{10 x}}$&$8$\\ norman&${\mathrm e}^{9 \,{\mathrm e}^{10 x}}$&$8$\\ risch&${\mathrm e}^{9 \,{\mathrm e}^{10 x}}$&$8$\\ \hline \end{longtable}"," ",0,"exp(9*exp(10*x))","A"
44,1,22,21,0.104000," ","int(((-8*x^3+8*x^2-2*x-6)*ln(x)-4*x^3+8*x^2+7*x-5)/(4*x^2-4*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -x^{2} \ln \left(x \right)+\frac{6 \ln \left(x \right) x}{2 x -1}$&$22$\\ risch&$-\frac{\left(2 x^{3}-x^{2}-3\right) \ln \left(x \right)}{2 x -1}+x +3 \ln \left(x \right)$&$30$\\ norman&$\frac{x^{2} \ln \left(x \right)-x +2 x^{2}+6 x \ln \left(x \right)-2 x^{3} \ln \left(x \right)}{2 x -1}$&$36$\\ \hline \end{longtable}"," ",0,"x-x^2*ln(x)+6*ln(x)*x/(2*x-1)","A"
45,1,26,29,0.046000," ","int(((8*x^2-10*x-12)*ln(2-x)-2*x^3-6*x^2)/(x^4+x^3-6*x^2)/ln(2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{2}{x}+2 \ln \left(x \right)-2 \ln \left(\ln \left(2-x \right)\right)-2 \ln \left(3+x \right)$&$26$\\ risch&$\frac{2 x \ln \left(x \right)-2 x \ln \left(3+x \right)-2}{x}-2 \ln \left(\ln \left(2-x \right)\right)$&$29$\\ derivativedivides&$-2 \ln \left(\ln \left(2-x \right)\right)-\frac{2}{x}+2 \ln \left(-x \right)-2 \ln \left(-3-x \right)$&$30$\\ default&$-2 \ln \left(\ln \left(2-x \right)\right)-\frac{2}{x}+2 \ln \left(-x \right)-2 \ln \left(-3-x \right)$&$30$\\ \hline \end{longtable}"," ",0,"-2/x+2*ln(x)-2*ln(ln(2-x))-2*ln(3+x)","A"
46,1,17,16,0.053000," ","int((2*ln(2)-2*exp(4/3)+34)/(4*x^2+4*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{\frac{4}{3}}-17-\ln \left(2\right)}{2 x +1}$&$17$\\ gosper&$-\frac{\ln \left(2\right)-{\mathrm e}^{\frac{4}{3}}+17}{2 x +1}$&$18$\\ default&$-\frac{2 \ln \left(2\right)-2 \,{\mathrm e}^{\frac{4}{3}}+34}{2 \left(2 x +1\right)}$&$20$\\ risch&$-\frac{\ln \left(2\right)}{2 \left(\frac{1}{2}+x \right)}+\frac{{\mathrm e}^{\frac{4}{3}}}{2 x +1}-\frac{17}{2 \left(\frac{1}{2}+x \right)}$&$27$\\ meijerg&$\frac{2 \ln \left(2\right) x}{2 x +1}-\frac{2 \,{\mathrm e}^{\frac{4}{3}} x}{2 x +1}+\frac{34 x}{2 x +1}$&$36$\\ \hline \end{longtable}"," ",0,"(exp(4/3)-17-ln(2))/(2*x+1)","A"
47,1,22,23,0.049000," ","int(((2*x^3-7*x^2+4)*ln(x)+8*x^3-27*x^2-4*x+20)/((x^3-4*x^2+4*x)*ln(x)+4*x^3-16*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x^{2}-4}{x -2}+\ln \left(x \right)+\ln \left(\ln \left(x \right)+4\right)$&$22$\\ risch&$\frac{x \ln \left(x \right)+2 x^{2}-2 \ln \left(x \right)-4 x +4}{x -2}+\ln \left(\ln \left(x \right)+4\right)$&$31$\\ \hline \end{longtable}"," ",0,"(2*x^2-4)/(x-2)+ln(x)+ln(ln(x)+4)","A"
48,1,42,24,0.034000," ","int((((6*x^2+3)*exp(1)*exp(3)+(4*x^3+4*x)*exp(1)-6*x^2-3)*exp(x^2)-15*exp(1)*exp(3)-20*x*exp(1)+15)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-15 x \,{\mathrm e}^{3}-10 x^{2}+15 \,{\mathrm e}^{-1} x +\left(3 x \,{\mathrm e}^{4}+2 x^{2} {\mathrm e}-3 x \right) {\mathrm e}^{\left(x -1\right) \left(x +1\right)}$&$42$\\ norman&$-10 x^{2}+2 x^{2} {\mathrm e}^{x^{2}}-15 \left({\mathrm e} \,{\mathrm e}^{3}-1\right) {\mathrm e}^{-1} x +3 \left({\mathrm e} \,{\mathrm e}^{3}-1\right) {\mathrm e}^{-1} x \,{\mathrm e}^{x^{2}}$&$48$\\ default&${\mathrm e}^{-1} \left(15 x -3 \,{\mathrm e}^{x^{2}} x +2 \,{\mathrm e} \,{\mathrm e}^{x^{2}}+4 \,{\mathrm e} \left(\frac{x^{2} {\mathrm e}^{x^{2}}}{2}-\frac{{\mathrm e}^{x^{2}}}{2}\right)+\frac{3 \,{\mathrm e} \,{\mathrm e}^{3} \sqrt{\pi}\, \erfi \left(x \right)}{2}+6 \,{\mathrm e} \,{\mathrm e}^{3} \left(\frac{{\mathrm e}^{x^{2}} x}{2}-\frac{\sqrt{\pi}\, \erfi \left(x \right)}{4}\right)-10 x^{2} {\mathrm e}-15 x \,{\mathrm e} \,{\mathrm e}^{3}\right)$&$91$\\ \hline \end{longtable}"," ",0,"-15*x*exp(3)-10*x^2+15*exp(-1)*x+(3*x*exp(4)+2*x^2*exp(1)-3*x)*exp((x-1)*(x+1))","A"
49,1,271,33,0.726000," ","int((exp(exp(-x^2+x))*ln(2*x^2/ln(ln(2))/exp(5/exp(exp(-x^2+x))))-2*exp(exp(-x^2+x))+(10*x^2-5*x)*exp(-x^2+x))/(exp(exp(-x^2+x))*ln(2*x^2/ln(ln(2))/exp(5/exp(exp(-x^2+x))))^2+2*x*exp(exp(-x^2+x))*ln(2*x^2/ln(ln(2))/exp(5/exp(exp(-x^2+x))))+x^2*exp(exp(-x^2+x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-2 i \pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-5 \,{\mathrm e}^{-{\mathrm e}^{-x \left(x -1\right)}}}\right)^{2}-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+i \pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-5 \,{\mathrm e}^{-{\mathrm e}^{-x \left(x -1\right)}}}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-5 \,{\mathrm e}^{-{\mathrm e}^{-x \left(x -1\right)}}}\right)^{2}+2 i \pi -i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-5 \,{\mathrm e}^{-{\mathrm e}^{-x \left(x -1\right)}}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-5 \,{\mathrm e}^{-{\mathrm e}^{-x \left(x -1\right)}}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-5 \,{\mathrm e}^{-{\mathrm e}^{-x \left(x -1\right)}}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-5 \,{\mathrm e}^{-{\mathrm e}^{-x \left(x -1\right)}}}\right)+2 \ln \left(2\right)-2 \ln \left(-\ln \left(\ln \left(2\right)\right)\right)+2 x +4 \ln \left(x \right)-2 \ln \left({\mathrm e}^{5 \,{\mathrm e}^{-{\mathrm e}^{-x \left(x -1\right)}}}\right)}$&$271$\\ \hline \end{longtable}"," ",0,"2*x/(2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-2*I*Pi*csgn(I*x^2*exp(-5*exp(-exp(-x*(x-1)))))^2-I*Pi*csgn(I*x)^2*csgn(I*x^2)+I*Pi*csgn(I*x^2*exp(-5*exp(-exp(-x*(x-1)))))^3+I*Pi*csgn(I*x^2)*csgn(I*x^2*exp(-5*exp(-exp(-x*(x-1)))))^2+2*I*Pi-I*Pi*csgn(I*x^2)^3+I*Pi*csgn(I*exp(-5*exp(-exp(-x*(x-1)))))*csgn(I*x^2*exp(-5*exp(-exp(-x*(x-1)))))^2-I*Pi*csgn(I*x^2)*csgn(I*exp(-5*exp(-exp(-x*(x-1)))))*csgn(I*x^2*exp(-5*exp(-exp(-x*(x-1)))))+2*ln(2)-2*ln(-ln(ln(2)))+2*x+4*ln(x)-2*ln(exp(5*exp(-exp(-x*(x-1))))))","C"
50,1,36,18,0.025000," ","int(405*x^4*exp(3)^2+(324*x^5-1080*x^4)*exp(3)+63*x^6-432*x^5+720*x^4+36,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(54 \,{\mathrm e}^{3}-72\right) x^{6}+\left(81 \,{\mathrm e}^{6}-216 \,{\mathrm e}^{3}+144\right) x^{5}+36 x +9 x^{7}$&$36$\\ risch&$81 x^{5} {\mathrm e}^{6}+54 x^{6} {\mathrm e}^{3}-216 x^{5} {\mathrm e}^{3}+9 x^{7}-72 x^{6}+144 x^{5}+36 x$&$41$\\ gosper&$9 x \left(9 x^{4} {\mathrm e}^{6}+6 x^{5} {\mathrm e}^{3}+x^{6}-24 x^{4} {\mathrm e}^{3}-8 x^{5}+16 x^{4}+4\right)$&$42$\\ default&$81 x^{5} {\mathrm e}^{6}+{\mathrm e}^{3} \left(54 x^{6}-216 x^{5}\right)+9 x^{7}-72 x^{6}+144 x^{5}+36 x$&$43$\\ \hline \end{longtable}"," ",0,"(54*exp(3)-72)*x^6+(81*exp(3)^2-216*exp(3)+144)*x^5+36*x+9*x^7","A"
51,1,17,16,0.088000," ","int(((-31250*exp(x-1)-31250*x)*ln(x/(exp(x-1)+x))+(-15625*x+15625)*exp(x-1))/(x^3*exp(x-1)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{15625 \ln \left(\frac{x}{{\mathrm e}^{x -1}+x}\right)}{x^{2}}$&$17$\\ risch&$-\frac{15625 \ln \left({\mathrm e}^{x -1}+x \right)}{x^{2}}+\frac{-\frac{15625 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x -1}+x}\right) \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{x -1}+x}\right)}{2}+\frac{15625 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{x -1}+x}\right)^{2}}{2}+\frac{15625 i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x -1}+x}\right) \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{x -1}+x}\right)^{2}}{2}-\frac{15625 i \pi  \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{x -1}+x}\right)^{3}}{2}+15625 \ln \left(x \right)}{x^{2}}$&$132$\\ \hline \end{longtable}"," ",0,"15625*ln(x/(exp(x-1)+x))/x^2","A"
52,1,29,23,0.046000," ","int(((-80*x^4+2)*ln(5)^2-240*x^3*ln(5)-160*x^2)/x/ln(5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-20 x^{4}-\frac{80 x^{3}}{\ln \left(5\right)}-\frac{80 x^{2}}{\ln \left(5\right)^{2}}+2 \ln \left(x \right)$&$29$\\ norman&$\frac{-80 x^{3}-\frac{80 x^{2}}{\ln \left(5\right)}-20 x^{4} \ln \left(5\right)}{\ln \left(5\right)}+2 \ln \left(x \right)$&$33$\\ default&$\frac{-20 x^{4} \ln \left(5\right)^{2}-80 x^{3} \ln \left(5\right)-80 x^{2}+2 \ln \left(x \right) \ln \left(5\right)^{2}}{\ln \left(5\right)^{2}}$&$36$\\ \hline \end{longtable}"," ",0,"-20*x^4-80/ln(5)*x^3-80*x^2/ln(5)^2+2*ln(x)","A"
53,1,24,19,0.357000," ","int(((35*ln(3)-4*x*exp(3))*ln((35*ln(3)-4*x*exp(3))/ln(3))*ln(ln((35*ln(3)-4*x*exp(3))/ln(3)))+(-16-4*x)*exp(3))/((35*x+140)*ln(3)+(-4*x^2-16*x)*exp(3))/ln((35*ln(3)-4*x*exp(3))/ln(3))/ln(ln((35*ln(3)-4*x*exp(3))/ln(3))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(\ln \left(\frac{35 \ln \left(3\right)-4 x \,{\mathrm e}^{3}}{\ln \left(3\right)}\right)\right)\right)+\ln \left(4+x \right)$&$24$\\ risch&$\ln \left(\ln \left(\ln \left(\frac{35 \ln \left(3\right)-4 x \,{\mathrm e}^{3}}{\ln \left(3\right)}\right)\right)\right)+\ln \left(4+x \right)$&$24$\\ default&$\ln \left(4+x \right)+\ln \left(\ln \left(-\ln \left(\ln \left(3\right)\right)+\ln \left(35 \ln \left(3\right)-4 x \,{\mathrm e}^{3}\right)\right)\right)$&$25$\\ \hline \end{longtable}"," ",0,"ln(ln(ln((35*ln(3)-4*x*exp(3))/ln(3))))+ln(4+x)","A"
54,1,20,24,0.099000," ","int((((-4*exp(3)+4)*exp(2*x)-2*exp(3)+2)*exp((-exp(3)+1)*exp(2*x)-x*exp(3)+x)^2+5)/(exp((-exp(3)+1)*exp(2*x)-x*exp(3)+x)^2+5*x-9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{-2 \left({\mathrm e}^{2 x}+x \right) \left({\mathrm e}^{3}-1\right)}+5 x -9\right)$&$20$\\ norman&$\ln \left({\mathrm e}^{2 \left(-{\mathrm e}^{3}+1\right) {\mathrm e}^{2 x}-2 x \,{\mathrm e}^{3}+2 x}+5 x -9\right)$&$28$\\ \hline \end{longtable}"," ",0,"ln(exp(-2*(exp(2*x)+x)*(exp(3)-1))+5*x-9)","A"
55,1,22,21,0.056000," ","int(((5*x-1)*ln(x-1/5)^2+(10*x-2)*ln(x-1/5)+10*exp(3)^2-60*exp(3)-10*x+90)/(5*x-1)/ln(x-1/5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{2 \left({\mathrm e}^{6}-6 \,{\mathrm e}^{3}-x +9\right)}{\ln \left(x -\frac{1}{5}\right)}$&$22$\\ norman&$\frac{x \ln \left(x -\frac{1}{5}\right)+2 x -18-2 \,{\mathrm e}^{6}+12 \,{\mathrm e}^{3}}{\ln \left(x -\frac{1}{5}\right)}$&$29$\\ derivativedivides&$x -\frac{1}{5}-\frac{2 \,{\mathrm e}^{6}}{\ln \left(x -\frac{1}{5}\right)}+\frac{12 \,{\mathrm e}^{3}}{\ln \left(x -\frac{1}{5}\right)}-\frac{88}{5 \ln \left(x -\frac{1}{5}\right)}+\frac{2 x -\frac{2}{5}}{\ln \left(x -\frac{1}{5}\right)}$&$45$\\ default&$x -\frac{1}{5}-\frac{2 \,{\mathrm e}^{6}}{\ln \left(x -\frac{1}{5}\right)}+\frac{12 \,{\mathrm e}^{3}}{\ln \left(x -\frac{1}{5}\right)}-\frac{88}{5 \ln \left(x -\frac{1}{5}\right)}+\frac{2 x -\frac{2}{5}}{\ln \left(x -\frac{1}{5}\right)}$&$45$\\ \hline \end{longtable}"," ",0,"x-2*(exp(6)-6*exp(3)-x+9)/ln(x-1/5)","A"
56,1,37,19,0.062000," ","int(((ln(2)^4+4*ln(2)^3+6*ln(2)^2+4*ln(2)+1)*exp(x)+32768*x^7*ln(2)^8)/((ln(2)^4+4*ln(2)^3+6*ln(2)^2+4*ln(2)+1)*exp(x)+4096*x^8*ln(2)^8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\left(\ln \left(2\right)^{4}+4 \ln \left(2\right)^{3}+6 \ln \left(2\right)^{2}+4 \ln \left(2\right)+1\right) {\mathrm e}^{x}+4096 x^{8} \ln \left(2\right)^{8}\right)$&$37$\\ default&$\ln \left(\left(\ln \left(2\right)^{4}+4 \ln \left(2\right)^{3}+6 \ln \left(2\right)^{2}+4 \ln \left(2\right)+1\right) {\mathrm e}^{x}+4096 x^{8} \ln \left(2\right)^{8}\right)$&$37$\\ risch&$\ln \left({\mathrm e}^{x}+\frac{4096 x^{8} \ln \left(2\right)^{8}}{\ln \left(2\right)^{4}+4 \ln \left(2\right)^{3}+6 \ln \left(2\right)^{2}+4 \ln \left(2\right)+1}\right)$&$38$\\ norman&$\ln \left(4096 x^{8} \ln \left(2\right)^{8}+{\mathrm e}^{x} \ln \left(2\right)^{4}+4 \ln \left(2\right)^{3} {\mathrm e}^{x}+6 \ln \left(2\right)^{2} {\mathrm e}^{x}+4 \,{\mathrm e}^{x} \ln \left(2\right)+{\mathrm e}^{x}\right)$&$43$\\ \hline \end{longtable}"," ",0,"ln((ln(2)^4+4*ln(2)^3+6*ln(2)^2+4*ln(2)+1)*exp(x)+4096*x^8*ln(2)^8)","A"
57,1,61,27,0.191000," ","int(((4*(x^2+2*x+3)*ln(2)^2+2*(-2*x^3-4*x^2-6*x)*ln(2)+x^4+2*x^3+3*x^2)*exp(x)+4*(-2*x*ln(2)-3*x^2-8*x-3)*ln(2)^2+2*(4*x^2*ln(2)+6*x^3+13*x^2+6*x-3)*ln(2)-2*x^3*ln(2)-3*x^4-6*x^3-3*x^2)/(4*ln(2)^2-4*x*ln(2)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} \ln \left(2\right)-x^{3}+2 x \ln \left(2\right)-3 x^{2}-3 x -\frac{4 \ln \left(2\right)^{3}}{\ln \left(2\right)-\frac{x}{2}}-\frac{3 \ln \left(2\right)}{\ln \left(2\right)-\frac{x}{2}}+\left(x^{2}+3\right) {\mathrm e}^{x}$&$61$\\ default&$-3 x -x^{3}-3 x^{2}+3 \,{\mathrm e}^{x}+2 x \ln \left(2\right)-x^{2} \ln \left(2\right)+{\mathrm e}^{x} x^{2}+\frac{6 \ln \left(2\right)}{x -2 \ln \left(2\right)}+\frac{8 \ln \left(2\right)^{3}}{x -2 \ln \left(2\right)}$&$63$\\ norman&$\frac{x^{4}+\left(-\ln \left(2\right)+3\right) x^{3}+\left(-2 \ln \left(2\right)^{2}-8 \ln \left(2\right)+3\right) x^{2}-3 \,{\mathrm e}^{x} x -{\mathrm e}^{x} x^{3}+6 \,{\mathrm e}^{x} \ln \left(2\right)+2 x^{2} \ln \left(2\right) {\mathrm e}^{x}-12 \ln \left(2\right)^{2}-6 \ln \left(2\right)}{2 \ln \left(2\right)-x}$&$79$\\ \hline \end{longtable}"," ",0,"-x^2*ln(2)-x^3+2*x*ln(2)-3*x^2-3*x-4/(ln(2)-1/2*x)*ln(2)^3-3/(ln(2)-1/2*x)*ln(2)+(x^2+3)*exp(x)","B"
58,1,18,18,0.035000," ","int(((exp(x)^2+10*exp(x)+25)*ln(x)^3+((-27*x^3+81*x^2)*exp(x)+405*x^2)*ln(x)-54*exp(x)*x^2-270*x^2)/(exp(x)^2+10*exp(x)+25)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{27 x^{3}}{\ln \left(x \right)^{2} \left({\mathrm e}^{x}+5\right)}$&$18$\\ \hline \end{longtable}"," ",0,"x+27*x^3/ln(x)^2/(exp(x)+5)","A"
59,1,30,26,0.033000," ","int((14*x^8-40*x^6+96*x^4-40*x^2-48)/(x^9-4*x^7+16*x^5-20*x^3+x^2+24*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x^{8}-4 x^{6}+16 x^{4}-20 x^{2}+x +24\right)-2 \ln \left(x \right)$&$30$\\ norman&$2 \ln \left(x^{8}-4 x^{6}+16 x^{4}-20 x^{2}+x +24\right)-2 \ln \left(x \right)$&$30$\\ risch&$2 \ln \left(x^{8}-4 x^{6}+16 x^{4}-20 x^{2}+x +24\right)-2 \ln \left(x \right)$&$30$\\ \hline \end{longtable}"," ",0,"2*ln(x^8-4*x^6+16*x^4-20*x^2+x+24)-2*ln(x)","A"
60,1,25,23,0.102000," ","int(((-3*exp(1)-3*x)*ln(exp(1)^2+2*x*exp(1)+x^2)-12*x^2*exp(1)-12*x^3+2*x)/((x*exp(1)+x^2)*ln(exp(1)^2+2*x*exp(1)+x^2)+12*x^3*exp(1)+12*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 \ln \left(x \right)+\ln \left(12 x^{2}+\ln \left({\mathrm e}^{2}+2 x \,{\mathrm e}+x^{2}\right)\right)$&$25$\\ norman&$-3 \ln \left(x \right)+\ln \left(12 x^{2}+\ln \left({\mathrm e}^{2}+2 x \,{\mathrm e}+x^{2}\right)\right)$&$27$\\ \hline \end{longtable}"," ",0,"-3*ln(x)+ln(12*x^2+ln(exp(2)+2*x*exp(1)+x^2))","A"
61,1,42,28,0.027000," ","int(-exp(x)+1/81*(-900*x+3240)*exp(5)+1/81*(-900*x+3240)*exp(1)+500/81*x^3-200/3*x^2+580/3*x-120,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(40 \,{\mathrm e}^{5}+40 \,{\mathrm e}-120\right) x +\left(-\frac{50 \,{\mathrm e}^{5}}{9}-\frac{50 \,{\mathrm e}}{9}+\frac{290}{3}\right) x^{2}-\frac{200 x^{3}}{9}+\frac{125 x^{4}}{81}-{\mathrm e}^{x}$&$42$\\ risch&$-{\mathrm e}^{x}-\frac{50 x^{2} {\mathrm e}^{5}}{9}+40 x \,{\mathrm e}^{5}-\frac{50 x^{2} {\mathrm e}}{9}+40 x \,{\mathrm e}+\frac{125 x^{4}}{81}-\frac{200 x^{3}}{9}+\frac{290 x^{2}}{3}-120 x$&$48$\\ default&$-120 x +\frac{290 x^{2}}{3}-\frac{200 x^{3}}{9}+\frac{125 x^{4}}{81}+\frac{{\mathrm e} \left(-450 x^{2}+3240 x \right)}{81}+\frac{{\mathrm e}^{5} \left(-450 x^{2}+3240 x \right)}{81}-{\mathrm e}^{x}$&$50$\\ \hline \end{longtable}"," ",0,"(40*exp(5)+40*exp(1)-120)*x+(-50/9*exp(5)-50/9*exp(1)+290/3)*x^2-200/9*x^3+125/81*x^4-exp(x)","A"
62,1,11,13,0.018000," ","int(2/3*exp(5/3)+2/3*x-2/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(x +2 \,{\mathrm e}^{\frac{5}{3}}-2\right)}{3}$&$11$\\ default&$\frac{2 x \,{\mathrm e}^{\frac{5}{3}}}{3}+\frac{x^{2}}{3}-\frac{2 x}{3}$&$15$\\ norman&$\left(\frac{2 \,{\mathrm e}^{\frac{5}{3}}}{3}-\frac{2}{3}\right) x +\frac{x^{2}}{3}$&$15$\\ risch&$\frac{2 x \,{\mathrm e}^{\frac{5}{3}}}{3}+\frac{x^{2}}{3}-\frac{2 x}{3}$&$15$\\ \hline \end{longtable}"," ",0,"1/3*x*(x+2*exp(5/3)-2)","A"
63,1,21,22,0.094000," ","int((-2*ln(2)*ln(x)^2+2*(-4*x-7)*ln(2)*ln(x)+2*(-2*x-5)*ln(2))/(x^2*ln(x)^4+(4*x^3+10*x^2)*ln(x)^3+(4*x^4+20*x^3+25*x^2)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \ln \left(2\right)}{x \ln \left(x \right) \left(2 x +5+\ln \left(x \right)\right)}$&$21$\\ risch&$\frac{2 \ln \left(2\right)}{x \ln \left(x \right) \left(2 x +5+\ln \left(x \right)\right)}$&$21$\\ \hline \end{longtable}"," ",0,"2*ln(2)/x/ln(x)/(2*x+5+ln(x))","A"
64,1,20,19,0.027000," ","int(1/2*(-50*x*ln(x)*ln(ln(x))+25*x+50)/(4*x^4+24*x^3+48*x^2+32*x)/ln(5)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 \ln \left(\ln \left(x \right)\right)}{8 \ln \left(5\right) \left(x^{2}+4 x +4\right)}$&$20$\\ \hline \end{longtable}"," ",0,"25/8/ln(5)/(x^2+4*x+4)*ln(ln(x))","A"
65,1,25,19,0.053000," ","int((4*exp(x)*x^3-8*ln(2)^2*exp(1/x^2))/((exp(x)*x^3+x^3*ln(2)^2*exp(1/x^2))*ln((exp(x)+ln(2)^2*exp(1/x^2))/ln(2)^2)-15*exp(x)*x^3-15*x^3*ln(2)^2*exp(1/x^2))/ln(ln((exp(x)+ln(2)^2*exp(1/x^2))/ln(2)^2)-15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(\ln \left(\ln \left(\frac{{\mathrm e}^{x}+\ln \left(2\right)^{2} {\mathrm e}^{\frac{1}{x^{2}}}}{\ln \left(2\right)^{2}}\right)-15\right)\right)$&$25$\\ \hline \end{longtable}"," ",0,"4*ln(ln(ln((exp(x)+ln(2)^2*exp(1/x^2))/ln(2)^2)-15))","A"
66,1,25,25,0.029000," ","int((2*ln(x^2)-6*x^8-8*x-2)/(x*ln(x^2)+x^9+4*x^3-8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(x \right)-\ln \left(x^{8}+4 x^{2}+\ln \left(x^{2}\right)-8 x \right)$&$25$\\ risch&$2 \ln \left(x \right)-\ln \left(x^{8}+4 x^{2}+\ln \left(x^{2}\right)-8 x \right)$&$25$\\ \hline \end{longtable}"," ",0,"2*ln(x)-ln(x^8+4*x^2+ln(x^2)-8*x)","A"
67,1,91,34,0.099000," ","int(((-3*x^3+30*x^2-45*x)*exp(1/3*(3*x^2+5)/x)^2+(-6*x^4+66*x^3-90*x^2-30*x-50)*exp(1/3*(3*x^2+5)/x)-3*x^5+36*x^4-78*x^3)/((3*x^5-36*x^4+198*x^3-540*x^2+675*x)*exp(1/3*(3*x^2+5)/x)^2+(6*x^6-78*x^5+438*x^4-1206*x^3+1440*x^2)*exp(1/3*(3*x^2+5)/x)+3*x^7-42*x^6+243*x^5-672*x^4+768*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x -5}{x^{2}-6 x +15}-\frac{10 x}{\left(x^{2}-6 x +15\right) \left({\mathrm e}^{\frac{3 x^{2}+5}{3 x}} x^{2}+x^{3}-6 \,{\mathrm e}^{\frac{3 x^{2}+5}{3 x}} x -7 x^{2}+15 \,{\mathrm e}^{\frac{3 x^{2}+5}{3 x}}+16 x \right)}$&$91$\\ norman&$\frac{-6 x -5 \,{\mathrm e}^{\frac{3 x^{2}+5}{3 x}}+x^{2}+{\mathrm e}^{\frac{3 x^{2}+5}{3 x}} x}{{\mathrm e}^{\frac{3 x^{2}+5}{3 x}} x^{2}+x^{3}-6 \,{\mathrm e}^{\frac{3 x^{2}+5}{3 x}} x -7 x^{2}+15 \,{\mathrm e}^{\frac{3 x^{2}+5}{3 x}}+16 x}$&$101$\\ \hline \end{longtable}"," ",0,"(x-5)/(x^2-6*x+15)-10*x/(x^2-6*x+15)/(exp(1/3*(3*x^2+5)/x)*x^2+x^3-6*exp(1/3*(3*x^2+5)/x)*x-7*x^2+15*exp(1/3*(3*x^2+5)/x)+16*x)","B"
68,1,34,26,0.031000," ","int(1/8*((2*exp(1)-6)*ln(x)^2+((-10*x-2)*exp(1)+30*x+6)*ln(x)+(x^3+10*x)*exp(1)-2*x^3-30*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left({\mathrm e}-3\right) \ln \left(x \right)^{2}}{8 x^{2}}+\frac{5 \left({\mathrm e}-3\right) \ln \left(x \right)}{4 x}-\frac{x}{4}+\frac{x \,{\mathrm e}}{8}$&$34$\\ norman&$\frac{\left(-\frac{1}{4}+\frac{{\mathrm e}}{8}\right) x^{3}+\left(-\frac{{\mathrm e}}{8}+\frac{3}{8}\right) \ln \left(x \right)^{2}+\left(\frac{5 \,{\mathrm e}}{4}-\frac{15}{4}\right) x \ln \left(x \right)}{x^{2}}$&$37$\\ default&$\frac{x \,{\mathrm e}}{8}+\frac{{\mathrm e} \left(-\frac{\ln \left(x \right)^{2}}{2 x^{2}}-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)}{4}-\frac{5 \,{\mathrm e} \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)}{4}-\frac{x}{4}+\frac{3 \ln \left(x \right)^{2}}{8 x^{2}}-\frac{{\mathrm e} \left(-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)}{4}-\frac{15 \ln \left(x \right)}{4 x}-\frac{5 \,{\mathrm e}}{4 x}$&$93$\\ \hline \end{longtable}"," ",0,"-1/8/x^2*(exp(1)-3)*ln(x)^2+5/4*(exp(1)-3)/x*ln(x)-1/4*x+1/8*x*exp(1)","A"
69,1,10,18,0.076000," ","int((-10*x^2+40*x-43)/(3*x^2-12*x+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{10 x}{3}+\frac{1}{x -2}$&$10$\\ risch&$-\frac{10 x}{3}+\frac{1}{x -2}$&$10$\\ norman&$\frac{-\frac{10 x^{2}}{3}+\frac{43}{3}}{x -2}$&$14$\\ gosper&$-\frac{10 x^{2}-43}{3 \left(x -2\right)}$&$15$\\ meijerg&$\frac{37 x}{12 \left(1-\frac{x}{2}\right)}-\frac{10 x \left(-\frac{3 x}{2}+6\right)}{9 \left(1-\frac{x}{2}\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-10/3*x+1/(x-2)","A"
70,1,20,23,0.037000," ","int(((-x*exp(125/x)+2*x+250)*ln(x)-x*exp(125/x)+2*x)/x/exp(125/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x \right) x \,{\mathrm e}^{-\frac{125}{x}}-x \ln \left(x \right)$&$20$\\ risch&$-x \left({\mathrm e}^{\frac{125}{x}}-2\right) {\mathrm e}^{-\frac{125}{x}} \ln \left(x \right)$&$20$\\ norman&$\left(2 x \ln \left(x \right)-\ln \left(x \right) {\mathrm e}^{\frac{125}{x}} x \right) {\mathrm e}^{-\frac{125}{x}}$&$27$\\ \hline \end{longtable}"," ",0,"2*ln(x)*x/exp(125/x)-x*ln(x)","A"
71,1,20,19,0.044000," ","int(1/6*(21*x^2-28*x)*exp(7/6*x^3-7/3*x^2)*ln(ln(2)-2)-4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(2\right)-2\right) {\mathrm e}^{\frac{7 \left(x -2\right) x^{2}}{6}}-4 x$&$20$\\ default&$-4 x +{\mathrm e}^{\frac{7}{6} x^{3}-\frac{7}{3} x^{2}} \ln \left(\ln \left(2\right)-2\right)$&$23$\\ norman&$-4 x +{\mathrm e}^{\frac{7}{6} x^{3}-\frac{7}{3} x^{2}} \ln \left(\ln \left(2\right)-2\right)$&$23$\\ \hline \end{longtable}"," ",0,"ln(ln(2)-2)*exp(7/6*(x-2)*x^2)-4*x","A"
72,1,34,25,0.068000," ","int(((42*x^2-105*x)*ln(1/3*x)+147*x^5-1470*x^4+5733*x^3-10311*x^2+7308*x-147)/(x*ln(1/3*x)^2+(-14*x^4+490*x^3-2198*x^2+2940*x)*ln(1/3*x)+49*x^7-3430*x^6+75411*x^5-559090*x^4+1928101*x^3-3231060*x^2+2160900*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{21 \left(x^{2}-5 x +7\right)}{7 x^{3}-245 x^{2}+1099 x -\ln \left(\frac{x}{3}\right)-1470}$&$34$\\ norman&$\frac{-21 x^{2}+105 x -147}{7 x^{3}-245 x^{2}+1099 x -\ln \left(\frac{x}{3}\right)-1470}$&$35$\\ \hline \end{longtable}"," ",0,"-21*(x^2-5*x+7)/(7*x^3-245*x^2+1099*x-ln(1/3*x)-1470)","A"
73,1,80,25,0.074000," ","int(((16*x^4+16*x^3-48*x^2+28*x-5)*exp(1)*ln(2)^2+(96*x^4+128*x^3-192*x^2+84*x-16)*exp(1)*ln(2)+(144*x^4+240*x^3-144*x^2+72*x-12)*exp(1))/(8*x^3+24*x^2+24*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e} \left(8 x^{2} \ln \left(2\right)^{2}-32 x \ln \left(2\right)^{2}+48 x^{2} \ln \left(2\right)-160 x \ln \left(2\right)+72 x^{2}-192 x -\frac{-81 \ln \left(2\right)^{2}-324 \ln \left(2\right)-324}{2 \left(x +1\right)^{2}}-\frac{108 \ln \left(2\right)^{2}+468 \ln \left(2\right)+504}{x +1}\right)}{8}$&$80$\\ gosper&$\frac{\left(16 x^{4} \ln \left(2\right)^{2}-32 x^{3} \ln \left(2\right)^{2}+96 x^{4} \ln \left(2\right)-128 x^{3} \ln \left(2\right)+144 x^{4}-56 x \ln \left(2\right)^{2}-96 x^{3}-23 \ln \left(2\right)^{2}-168 x \ln \left(2\right)-68 \ln \left(2\right)-144 x -60\right) {\mathrm e}}{16 x^{2}+32 x +16}$&$84$\\ norman&$\frac{\left(-2 \,{\mathrm e} \ln \left(2\right)^{2}-8 \,{\mathrm e} \ln \left(2\right)-6 \,{\mathrm e}\right) x^{3}+\left({\mathrm e} \ln \left(2\right)^{2}+6 \,{\mathrm e} \ln \left(2\right)+9 \,{\mathrm e}\right) x^{4}+\left(-\frac{7 \,{\mathrm e} \ln \left(2\right)^{2}}{2}-\frac{21 \,{\mathrm e} \ln \left(2\right)}{2}-9 \,{\mathrm e}\right) x -\frac{23 \,{\mathrm e} \ln \left(2\right)^{2}}{16}-\frac{17 \,{\mathrm e} \ln \left(2\right)}{4}-\frac{15 \,{\mathrm e}}{4}}{\left(x +1\right)^{2}}$&$92$\\ risch&$x^{2} {\mathrm e} \ln \left(2\right)^{2}-4 \ln \left(2\right)^{2} {\mathrm e} x +6 \ln \left(2\right) {\mathrm e} x^{2}-20 x \,{\mathrm e} \ln \left(2\right)+9 x^{2} {\mathrm e}-24 x \,{\mathrm e}+\frac{\left(-\frac{27 \,{\mathrm e} \ln \left(2\right)^{2}}{2}-\frac{117 \,{\mathrm e} \ln \left(2\right)}{2}-63 \,{\mathrm e}\right) x -\frac{135 \,{\mathrm e} \ln \left(2\right)^{2}}{16}-\frac{153 \,{\mathrm e} \ln \left(2\right)}{4}-\frac{171 \,{\mathrm e}}{4}}{x^{2}+2 x +1}$&$100$\\ \hline \end{longtable}"," ",0,"1/8*exp(1)*(8*x^2*ln(2)^2-32*x*ln(2)^2+48*x^2*ln(2)-160*x*ln(2)+72*x^2-192*x-1/2*(-81*ln(2)^2-324*ln(2)-324)/(x+1)^2-(108*ln(2)^2+468*ln(2)+504)/(x+1))","B"
74,1,28,28,0.091000," ","int(((2*x^2*exp(5)^2+32*x*exp(3)*exp(5)+128*exp(3)^2)*exp(x)^2+(4*x^4*exp(5)^2+(64*x^3*exp(3)-2*x^5+4*x^4)*exp(5)+256*x^2*exp(3)^2+(-16*x^4+48*x^3)*exp(3))*exp(x)+2*x^6*exp(5)^2+32*x^5*exp(3)*exp(5)+128*x^4*exp(3)^2+16*x^5*exp(3))*exp(x^3/((x*exp(5)+8*exp(3))*exp(x)+x^3*exp(5)+8*x^2*exp(3)))/((x^2*exp(5)^2+16*x*exp(3)*exp(5)+64*exp(3)^2)*exp(x)^2+(2*x^4*exp(5)^2+32*x^3*exp(3)*exp(5)+128*x^2*exp(3)^2)*exp(x)+x^6*exp(5)^2+16*x^5*exp(3)*exp(5)+64*x^4*exp(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \,{\mathrm e}^{\frac{x^{3}}{\left(x^{2}+{\mathrm e}^{x}\right) \left(x \,{\mathrm e}^{5}+8 \,{\mathrm e}^{3}\right)}}$&$28$\\ \hline \end{longtable}"," ",0,"2*x*exp(x^3/(x^2+exp(x))/(x*exp(5)+8*exp(3)))","A"
75,1,8,21,0.011000," ","int((x^2-3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{3}{x}$&$8$\\ risch&$x +\frac{3}{x}$&$8$\\ gosper&$\frac{x^{2}+3}{x}$&$10$\\ norman&$\frac{x^{2}+3}{x}$&$10$\\ \hline \end{longtable}"," ",0,"x+3/x","A"
76,1,28,23,0.130000," ","int((-48*x^2*exp(1)*exp(5)*ln(2)^2+288*x^2*exp(1)*exp(5)*ln(2)+(-64*x^6*exp(1)^2-432*x^2*exp(1))*exp(5))/(ln(2)^4-12*ln(2)^3+(-8*x^4*exp(1)+54)*ln(2)^2+(48*x^4*exp(1)-108)*ln(2)+16*x^8*exp(1)^2-72*x^4*exp(1)+81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{6} x^{3}}{x^{4} {\mathrm e}-\frac{\ln \left(2\right)^{2}}{4}+\frac{3 \ln \left(2\right)}{2}-\frac{9}{4}}$&$28$\\ gosper&$\frac{16 x^{3} {\mathrm e}^{6}}{4 x^{4} {\mathrm e}-\ln \left(2\right)^{2}+6 \ln \left(2\right)-9}$&$29$\\ norman&$\frac{16 x^{3} {\mathrm e} \,{\mathrm e}^{5}}{4 x^{4} {\mathrm e}-\ln \left(2\right)^{2}+6 \ln \left(2\right)-9}$&$31$\\ \hline \end{longtable}"," ",0,"4*exp(6)*x^3/(x^4*exp(1)-1/4*ln(2)^2+3/2*ln(2)-9/4)","A"
77,1,50,26,0.037000," ","int(((50*x^2-25*x+25)*exp(x)^2+(10*x^2-10*x)*exp(x)-2*x)/(25*x*exp(x)^2*ln(2*x)+(50*x*ln(2)+25*x^3-25*x^2+50*x)*exp(x)^2-10*exp(x)*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(2 x \right)+\frac{\left(25 \,{\mathrm e}^{2 x} x^{2}+50 \ln \left(2\right) {\mathrm e}^{2 x}-25 x \,{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x} x +50 \,{\mathrm e}^{2 x}+1\right) {\mathrm e}^{-2 x}}{25}\right)$&$50$\\ \hline \end{longtable}"," ",0,"ln(ln(2*x)+1/25*(25*exp(2*x)*x^2+50*ln(2)*exp(2*x)-25*x*exp(2*x)-10*exp(x)*x+50*exp(2*x)+1)*exp(-2*x))","A"
78,1,11,11,0.012000," ","int(1/6*(-ln(x)-4*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{2 x}{3}-\frac{\ln \left(x \right)^{2}}{12}$&$11$\\ norman&$-\frac{2 x}{3}-\frac{\ln \left(x \right)^{2}}{12}$&$11$\\ risch&$-\frac{2 x}{3}-\frac{\ln \left(x \right)^{2}}{12}$&$11$\\ \hline \end{longtable}"," ",0,"-2/3*x-1/12*ln(x)^2","A"
79,1,27,30,0.027000," ","int(1/3*(-3*x^2-3)*ln(x)-1/3*exp(3)-7/3*x^2-5/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{2 x}{3}-\frac{2 x^{3}}{3}-\frac{x^{3} \ln \left(x \right)}{3}-x \ln \left(x \right)-\frac{x \,{\mathrm e}^{3}}{3}$&$27$\\ norman&$\left(-\frac{2}{3}-\frac{{\mathrm e}^{3}}{3}\right) x -\frac{2 x^{3}}{3}-x \ln \left(x \right)-\frac{x^{3} \ln \left(x \right)}{3}$&$27$\\ risch&$\frac{\left(-x^{3}-3 x \right) \ln \left(x \right)}{3}-\frac{2 x^{3}}{3}-\frac{2 x}{3}-\frac{x \,{\mathrm e}^{3}}{3}$&$28$\\ \hline \end{longtable}"," ",0,"-2/3*x-2/3*x^3-1/3*x^3*ln(x)-x*ln(x)-1/3*x*exp(3)","A"
80,1,50,29,0.082000," ","int((((-5*x+20)*ln(-x+4)+5*x)*ln(x)^2+((40*x-160)*ln(-x+4)+2*x^2-38*x)*ln(x)+(450*x^4-1800*x^3-75*x+300)*ln(-x+4)+135*x^5-315*x^4-135*x^3-141*x^2+69*x)/(45*x^3-180*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(45 x^{3}+\ln \left(x \right)^{2}-6 \ln \left(x \right)+9\right) \ln \left(-x +4\right)}{9 x}+\frac{\ln \left(x \right)^{2}}{45}+x^{3}-3 x -\frac{2 \ln \left(x \right)}{15}-15 \ln \left(x -4\right)$&$50$\\ \hline \end{longtable}"," ",0,"1/9*(45*x^3+ln(x)^2-6*ln(x)+9)/x*ln(-x+4)+1/45*ln(x)^2+x^3-3*x-2/15*ln(x)-15*ln(x-4)","A"
81,1,25,20,0.033000," ","int((2*x*exp(x)^2*ln(x)+(-x^2+2*x)*exp(x)^3+(625*x^2-x)*exp(x)^2+(x^3+x^2)*exp(x))/(exp(x)^2*ln(x)^2+(2*exp(x)^3+1250*x*exp(x)^2+2*exp(x)*x)*ln(x)+exp(x)^4+1250*x*exp(x)^3+(390625*x^2+2*x)*exp(x)^2+1250*exp(x)*x^2+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x} x^{2}}{{\mathrm e}^{x} \ln \left(x \right)+{\mathrm e}^{2 x}+625 \,{\mathrm e}^{x} x +x}$&$25$\\ \hline \end{longtable}"," ",0,"exp(x)*x^2/(exp(x)*ln(x)+exp(2*x)+625*exp(x)*x+x)","A"
82,1,169,40,6.405000," ","int(((-x^2-2*x-1)*ln(1/3*x^2)^2+((2*x^2+4*x+2)*ln(-x^2+1)+(x^3+x^2)*exp(x)-2*x^3-x^2+x)*ln(1/3*x^2)+(-x^2-2*x-1)*ln(-x^2+1)^2+((-x^3-x^2)*exp(x)+2*x^3+x^2-x)*ln(-x^2+1)+2*exp(x)-2*x)*exp((-x*ln(1/3*x^2)+x*ln(-x^2+1)+(x-1)*exp(x)-x^2+x)/(ln(1/3*x^2)-ln(-x^2+1)))/((x^3+x^2)*ln(1/3*x^2)^2+(-2*x^3-2*x^2)*ln(-x^2+1)*ln(1/3*x^2)+(x^3+x^2)*ln(-x^2+1)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 x \ln \left(3\right)-4 x \ln \left(x \right)+2 x \ln \left(-x^{2}+1\right)+2 \,{\mathrm e}^{x} x -2 x^{2}-2 \,{\mathrm e}^{x}+2 x}{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \ln \left(3\right)-4 \ln \left(x \right)+2 \ln \left(-x^{2}+1\right)}}}{x}$&$169$\\ \hline \end{longtable}"," ",0,"1/x*exp(-(I*x*Pi*csgn(I*x^2)^3-2*I*x*Pi*csgn(I*x^2)^2*csgn(I*x)+I*x*Pi*csgn(I*x^2)*csgn(I*x)^2+2*x*ln(3)-4*x*ln(x)+2*x*ln(-x^2+1)+2*exp(x)*x-2*x^2-2*exp(x)+2*x)/(I*Pi*csgn(I*x^2)^3-2*I*Pi*csgn(I*x^2)^2*csgn(I*x)+I*Pi*csgn(I*x^2)*csgn(I*x)^2+2*ln(3)-4*ln(x)+2*ln(-x^2+1)))","C"
83,1,19,23,0.091000," ","int(((-x^2+10*x-5)*exp(2)+x^3-15*x^2+5*x)/(5*x^2*exp(2)-5*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{5}+\ln \left(x -{\mathrm e}^{2}\right)+\frac{1}{x}+2 \ln \left(x \right)$&$19$\\ risch&$-\frac{x}{5}+\ln \left(x -{\mathrm e}^{2}\right)+\frac{1}{x}+2 \ln \left(x \right)$&$19$\\ norman&$\frac{1-\frac{x^{2}}{5}}{x}+2 \ln \left(x \right)+\ln \left({\mathrm e}^{2}-x \right)$&$24$\\ meijerg&${\mathrm e}^{-2} \left(\ln \left(1-x \,{\mathrm e}^{-2}\right)-\ln \left(x \right)+2-i \pi +\frac{{\mathrm e}^{2}}{x}\right)-\left(-\frac{{\mathrm e}^{2}}{5}-3\right) \ln \left(1-x \,{\mathrm e}^{-2}\right)+\left(2 \,{\mathrm e}^{2}+1\right) {\mathrm e}^{-2} \left(-\ln \left(1-x \,{\mathrm e}^{-2}\right)+\ln \left(x \right)-2+i \pi \right)+\frac{{\mathrm e}^{2} \left(-x \,{\mathrm e}^{-2}-\ln \left(1-x \,{\mathrm e}^{-2}\right)\right)}{5}$&$92$\\ \hline \end{longtable}"," ",0,"-1/5*x+ln(x-exp(2))+1/x+2*ln(x)","A"
84,1,27,32,0.068000," ","int(((ln(3)^2-2*x^3-x^2)*exp((ln(3)^2-2*x*ln(3)+x^3+x^2)/x)+exp(x)*x^2-4*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x^{2}+{\mathrm e}^{x}-\frac{{\mathrm e}^{\frac{x^{3}+\ln \left(3\right)^{2}+x^{2}}{x}}}{9}$&$27$\\ norman&$\frac{{\mathrm e}^{x} x -2 x^{3}-x \,{\mathrm e}^{\frac{\ln \left(3\right)^{2}-2 x \ln \left(3\right)+x^{3}+x^{2}}{x}}}{x}$&$39$\\ \hline \end{longtable}"," ",0,"-2*x^2+exp(x)-1/9*exp((x^3+ln(3)^2+x^2)/x)","A"
85,1,22,17,0.075000," ","int(((x^2+3)*ln(x^2+3)+20*x)/((10*x^2+30)*ln(x^2+3)*ln(ln(x^2+3))+((-10*x^2-30)*ln(3/4)+x^3-32*x^2+3*x-96)*ln(x^2+3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-\ln \left(3\right)+2 \ln \left(2\right)+\frac{x}{10}+\ln \left(\ln \left(x^{2}+3\right)\right)-\frac{16}{5}\right)$&$22$\\ \hline \end{longtable}"," ",0,"ln(-ln(3)+2*ln(2)+1/10*x+ln(ln(x^2+3))-16/5)","A"
86,1,15,24,0.039000," ","int((x^2*ln(x)^2+(4*x^2-36)*ln(x)+4*x^2-90)*exp(18/(x^2*ln(x)+2*x^2))/(x^2*ln(x)^2+4*x^2*ln(x)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{\frac{18}{x^{2} \left(\ln \left(x \right)+2\right)}}$&$15$\\ norman&$\frac{x^{2} \ln \left(x \right) {\mathrm e}^{\frac{18}{x^{2} \ln \left(x \right)+2 x^{2}}}+2 x^{2} {\mathrm e}^{\frac{18}{x^{2} \ln \left(x \right)+2 x^{2}}}}{\left(\ln \left(x \right)+2\right) x}$&$57$\\ \hline \end{longtable}"," ",0,"x*exp(18/x^2/(ln(x)+2))","A"
87,1,46,15,0.033000," ","int((2*x^2+2*x)*ln(5)^2*exp(x)^2+((2*x+2)*exp(4/3)+44*x^2+102*x+14)*ln(5)*exp(x)+44*exp(4/3)+968*x+308,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x} \ln \left(5\right)^{2} x^{2}+\ln \left(5\right) \left(2 x \,{\mathrm e}^{\frac{4}{3}}+44 x^{2}+14 x \right) {\mathrm e}^{x}+44 x \,{\mathrm e}^{\frac{4}{3}}+484 x^{2}+308 x$&$46$\\ norman&$\left(44 \,{\mathrm e}^{\frac{4}{3}}+308\right) x +\left(2 \ln \left(5\right) {\mathrm e}^{\frac{4}{3}}+14 \ln \left(5\right)\right) x \,{\mathrm e}^{x}+{\mathrm e}^{2 x} \ln \left(5\right)^{2} x^{2}+484 x^{2}+44 x^{2} \ln \left(5\right) {\mathrm e}^{x}$&$51$\\ default&$308 x +2 \,{\mathrm e}^{x} \ln \left(5\right) {\mathrm e}^{\frac{4}{3}} x +44 x^{2} \ln \left(5\right) {\mathrm e}^{x}+14 x \,{\mathrm e}^{x} \ln \left(5\right)+{\mathrm e}^{2 x} \ln \left(5\right)^{2} x^{2}+484 x^{2}+44 x \,{\mathrm e}^{\frac{4}{3}}$&$52$\\ \hline \end{longtable}"," ",0,"exp(2*x)*ln(5)^2*x^2+ln(5)*(2*x*exp(4/3)+44*x^2+14*x)*exp(x)+44*x*exp(4/3)+484*x^2+308*x","B"
88,1,18,16,0.155000," ","int((ln(2)+71*exp(25/4)+12)/(exp(25/4)^2-2*x*exp(25/4)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\ln \left(2\right)+71 \,{\mathrm e}^{\frac{25}{4}}+12}{{\mathrm e}^{\frac{25}{4}}-x}$&$18$\\ norman&$\frac{\ln \left(2\right)+71 \,{\mathrm e}^{\frac{25}{4}}+12}{{\mathrm e}^{\frac{25}{4}}-x}$&$18$\\ risch&$\frac{\ln \left(2\right)}{{\mathrm e}^{\frac{25}{4}}-x}+\frac{71 \,{\mathrm e}^{\frac{25}{4}}}{{\mathrm e}^{\frac{25}{4}}-x}+\frac{12}{{\mathrm e}^{\frac{25}{4}}-x}$&$35$\\ meijerg&$\frac{\ln \left(2\right) {\mathrm e}^{-\frac{25}{2}} x}{1-x \,{\mathrm e}^{-\frac{25}{4}}}+\frac{71 \,{\mathrm e}^{-\frac{25}{4}} x}{1-x \,{\mathrm e}^{-\frac{25}{4}}}+\frac{12 \,{\mathrm e}^{-\frac{25}{2}} x}{1-x \,{\mathrm e}^{-\frac{25}{4}}}$&$45$\\ \hline \end{longtable}"," ",0,"(ln(2)+71*exp(25/4)+12)/(exp(25/4)-x)","A"
89,1,32,27,0.047000," ","int((((-15*x^2-120*x)*ln(x)-15*x^2-165*x-360)*ln(x+8)+((42*x^3+447*x^2+888*x)*exp(2/5*x)^2*exp(x)^2+15*x^2+45*x)*ln(x)+(-15*x^2-165*x-360)*exp(2/5*x)^2*exp(x)^2)/(5*x^4+70*x^3+285*x^2+360*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \ln \left(x +8\right)}{\left(3+x \right) \ln \left(x \right)}+\frac{3 \,{\mathrm e}^{\frac{14 x}{5}}}{\left(3+x \right) \ln \left(x \right)}$&$32$\\ \hline \end{longtable}"," ",0,"3/(3+x)/ln(x)*ln(x+8)+3*exp(14/5*x)/(3+x)/ln(x)","A"
90,1,21,25,0.025000," ","int(-1/2*exp(exp(4))+exp(4*x+8)+x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{2}-\frac{x \,{\mathrm e}^{{\mathrm e}^{4}}}{2}+\frac{{\mathrm e}^{4 x +8}}{4}$&$21$\\ norman&$\frac{x^{2}}{2}-\frac{x \,{\mathrm e}^{{\mathrm e}^{4}}}{2}+\frac{{\mathrm e}^{4 x +8}}{4}$&$21$\\ risch&$\frac{x^{2}}{2}-\frac{x \,{\mathrm e}^{{\mathrm e}^{4}}}{2}+\frac{{\mathrm e}^{4 x +8}}{4}$&$21$\\ derivativedivides&$-2 x -4+\frac{\left(4 x +8\right)^{2}}{32}+\frac{{\mathrm e}^{4 x +8}}{4}-\frac{{\mathrm e}^{{\mathrm e}^{4}} \left(4 x +8\right)}{8}$&$33$\\ \hline \end{longtable}"," ",0,"1/2*x^2-1/2*x*exp(exp(4))+1/4*exp(4*x+8)","A"
91,1,27,27,0.178000," ","int(((4*(x-1)*ln(2)^2+2*(-2*x^2+8*x-6)*ln(2)+x^3-7*x^2+15*x-9)*ln(x^2-x)^2+(2*(3*x-3)*ln(2)+9*x-9)*ln(x^2-x)+2*(-6*x+3)*ln(2)+6*x^2-21*x+9)/(4*(x-1)*ln(2)^2+2*(-2*x^2+8*x-6)*ln(2)+x^3-7*x^2+15*x-9)/ln(x^2-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{3 x}{\ln \left(x^{2}-x \right) \left(2 \ln \left(2\right)+3-x \right)}$&$27$\\ norman&$\frac{\left(4 \ln \left(2\right)^{2}+12 \ln \left(2\right)+9\right) \ln \left(x^{2}-x \right)+3 x -\ln \left(x^{2}-x \right) x^{2}}{\left(2 \ln \left(2\right)+3-x \right) \ln \left(x^{2}-x \right)}$&$61$\\ \hline \end{longtable}"," ",0,"x+3*x/ln(x^2-x)/(2*ln(2)+3-x)","A"
92,1,21,25,0.035000," ","int(((-300*x^3*ln(x)+300*x^3*exp(5)-300*x^4)*ln(ln(x)-exp(5)+x)-75*x^4-75*x^3)/((25*x^8*ln(x)-25*x^8*exp(5)+25*x^9)*ln(ln(x)-exp(5)+x)^2+(30*x^4*ln(x)-30*x^4*exp(5)+30*x^5)*ln(ln(x)-exp(5)+x)+9*ln(x)-9*exp(5)+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{15}{5 \ln \left(\ln \left(x \right)-{\mathrm e}^{5}+x \right) x^{4}+3}$&$21$\\ \hline \end{longtable}"," ",0,"15/(5*ln(ln(x)-exp(5)+x)*x^4+3)","A"
93,1,21,29,0.041000," ","int((-5*x^2*exp(x)*exp(4*x+1)+2*x^3+2*x^2-5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+2 x +\frac{5}{x}-{\mathrm e}^{5 x} {\mathrm e}$&$21$\\ risch&$x^{2}+2 x +\frac{5}{x}-{\mathrm e}^{1+5 x}$&$21$\\ norman&$\frac{5+x^{3}+2 x^{2}-x \,{\mathrm e} \,{\mathrm e}^{5 x}}{x}$&$24$\\ \hline \end{longtable}"," ",0,"x^2+2*x+5/x-exp(x)^5*exp(1)","A"
94,1,138,51,0.071000," ","int(((72*x^4+1152*x^3)*ln(x)*ln(ln(x))^3+(-36*x^3-864*x^2)*ln(-4*exp(5)+4)*ln(x)*ln(ln(x))^2+(144*x*ln(-4*exp(5)+4)^2*ln(x)+(-18*x^3-288*x^2)*ln(-4*exp(5)+4))*ln(ln(x))+72*x*ln(-4*exp(5)+4)^2)/(64*x^3*ln(x)*ln(ln(x))^3-48*x^2*ln(-4*exp(5)+4)*ln(x)*ln(ln(x))^2+12*x*ln(-4*exp(5)+4)^2*ln(x)*ln(ln(x))-ln(-4*exp(5)+4)^3*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 x^{2}}{16}+18 x -\frac{9 x \left(-16 x^{2} \ln \left(\ln \left(x \right)\right) \ln \left(2\right)-8 x^{2} \ln \left(\ln \left(x \right)\right) \ln \left(1-{\mathrm e}^{5}\right)+4 x \ln \left(2\right)^{2}+4 x \ln \left(2\right) \ln \left(1-{\mathrm e}^{5}\right)-256 x \ln \left(\ln \left(x \right)\right) \ln \left(2\right)+x \ln \left(1-{\mathrm e}^{5}\right)^{2}-128 x \ln \left(\ln \left(x \right)\right) \ln \left(1-{\mathrm e}^{5}\right)+128 \ln \left(2\right)^{2}+128 \ln \left(2\right) \ln \left(1-{\mathrm e}^{5}\right)+32 \ln \left(1-{\mathrm e}^{5}\right)^{2}\right)}{16 \left(-4 x \ln \left(\ln \left(x \right)\right)+2 \ln \left(2\right)+\ln \left(1-{\mathrm e}^{5}\right)\right)^{2}}$&$138$\\ \hline \end{longtable}"," ",0,"9/16*x^2+18*x-9/16*x*(-16*x^2*ln(ln(x))*ln(2)-8*x^2*ln(ln(x))*ln(1-exp(5))+4*x*ln(2)^2+4*x*ln(2)*ln(1-exp(5))-256*x*ln(ln(x))*ln(2)+x*ln(1-exp(5))^2-128*x*ln(ln(x))*ln(1-exp(5))+128*ln(2)^2+128*ln(2)*ln(1-exp(5))+32*ln(1-exp(5))^2)/(-4*x*ln(ln(x))+2*ln(2)+ln(1-exp(5)))^2","B"
95,1,334,21,1.568000," ","int((3*x^2*ln(x*exp(exp(3*x)^2))^2-ln(x*exp(exp(3*x)^2))+6*x*exp(3*x)^2+1)*exp(((x^3+5)*ln(x*exp(exp(3*x)^2))-x)/ln(x*exp(exp(3*x)^2)))/ln(x*exp(exp(3*x)^2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{6 x}}\right)^{3} x^{3}+i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{6 x}}\right)^{2} \mathrm{csgn}\left(i x \right) x^{3}+i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{6 x}}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{6 x}}\right) x^{3}-i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{6 x}}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{6 x}}\right) x^{3}-5 i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{6 x}}\right)^{3}+5 i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{6 x}}\right)^{2} \mathrm{csgn}\left(i x \right)+5 i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{6 x}}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{6 x}}\right)-5 i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{6 x}}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{6 x}}\right)+2 x^{3} \ln \left(x \right)+2 \ln \left({\mathrm e}^{{\mathrm e}^{6 x}}\right) x^{3}+10 \ln \left(x \right)+10 \ln \left({\mathrm e}^{{\mathrm e}^{6 x}}\right)-2 x}{-i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{6 x}}\right)^{3}+i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{6 x}}\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{6 x}}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{6 x}}\right)-i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{6 x}}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{6 x}}\right)+2 \ln \left(x \right)+2 \ln \left({\mathrm e}^{{\mathrm e}^{6 x}}\right)}}$&$334$\\ \hline \end{longtable}"," ",0,"exp((-I*Pi*csgn(I*x*exp(exp(6*x)))^3*x^3+I*Pi*csgn(I*x*exp(exp(6*x)))^2*csgn(I*x)*x^3+I*Pi*csgn(I*x*exp(exp(6*x)))^2*csgn(I*exp(exp(6*x)))*x^3-I*Pi*csgn(I*x*exp(exp(6*x)))*csgn(I*x)*csgn(I*exp(exp(6*x)))*x^3-5*I*Pi*csgn(I*x*exp(exp(6*x)))^3+5*I*Pi*csgn(I*x*exp(exp(6*x)))^2*csgn(I*x)+5*I*Pi*csgn(I*x*exp(exp(6*x)))^2*csgn(I*exp(exp(6*x)))-5*I*Pi*csgn(I*x*exp(exp(6*x)))*csgn(I*x)*csgn(I*exp(exp(6*x)))+2*x^3*ln(x)+2*ln(exp(exp(6*x)))*x^3+10*ln(x)+10*ln(exp(exp(6*x)))-2*x)/(-I*Pi*csgn(I*x*exp(exp(6*x)))^3+I*Pi*csgn(I*x*exp(exp(6*x)))^2*csgn(I*x)+I*Pi*csgn(I*x*exp(exp(6*x)))^2*csgn(I*exp(exp(6*x)))-I*Pi*csgn(I*x*exp(exp(6*x)))*csgn(I*x)*csgn(I*exp(exp(6*x)))+2*ln(x)+2*ln(exp(exp(6*x)))))","C"
96,1,100,23,0.225000," ","int(((-x^2+2*x)*ln(2)^4*exp(x)^3+(2*x^2-x-4)*ln(2)^4*exp(x)^2)*exp(ln(x^2-2*x)-exp(x))*exp(x*ln(2)^4*exp(x)^2*exp(ln(x^2-2*x)-exp(x)))/(x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\ln \left(2\right)^{4} \left(x -2\right) x^{2} {\mathrm e}^{2 x -\frac{i \pi  \mathrm{csgn}\left(i x \left(x -2\right)\right)^{3}}{2}+\frac{i \pi  \mathrm{csgn}\left(i x \left(x -2\right)\right)^{2} \mathrm{csgn}\left(i x \right)}{2}+\frac{i \pi  \mathrm{csgn}\left(i x \left(x -2\right)\right)^{2} \mathrm{csgn}\left(i \left(x -2\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x -2\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -2\right)\right)}{2}-{\mathrm e}^{x}}}$&$100$\\ \hline \end{longtable}"," ",0,"exp(ln(2)^4*(x-2)*x^2*exp(2*x-1/2*I*Pi*csgn(I*x*(x-2))^3+1/2*I*Pi*csgn(I*x*(x-2))^2*csgn(I*x)+1/2*I*Pi*csgn(I*x*(x-2))^2*csgn(I*(x-2))-1/2*I*Pi*csgn(I*x*(x-2))*csgn(I*x)*csgn(I*(x-2))-exp(x)))","C"
97,1,12,20,0.015000," ","int((-x*ln(x)+3*x-1)/(x*ln(x)-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -\ln \left(\ln \left(x \right)-3\right)$&$12$\\ risch&$-x -\ln \left(\ln \left(x \right)-3\right)$&$12$\\ \hline \end{longtable}"," ",0,"-x-ln(ln(x)-3)","A"
98,1,24,17,0.079000," ","int(1/16*(3*exp(5)+160*x^4+160*x^3)*exp(1/16*(160*x^3*ln(x)-exp(5)+160*x^4-720*x^3)/x^3)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{10} {\mathrm e}^{-\frac{-160 x^{4}+720 x^{3}+{\mathrm e}^{5}}{16 x^{3}}}$&$24$\\ gosper&${\mathrm e}^{-\frac{-160 x^{3} \ln \left(x \right)-160 x^{4}+720 x^{3}+{\mathrm e}^{5}}{16 x^{3}}}$&$27$\\ norman&${\mathrm e}^{\frac{160 x^{3} \ln \left(x \right)-{\mathrm e}^{5}+160 x^{4}-720 x^{3}}{16 x^{3}}}$&$29$\\ \hline \end{longtable}"," ",0,"x^10*exp(-1/16*(-160*x^4+720*x^3+exp(5))/x^3)","A"
99,1,62,24,0.066000," ","int((3*x^2*ln(x)^2+(-6*exp(x)*x^2-19*x^2+30*x)*ln(x)+3*exp(x)^2*x^2+(-x^3+24*x^2-30*x)*exp(x)+31*x^2-105*x+100)/((3*x^3+3*x^2)*ln(x)^2+((-6*x^3-6*x^2)*exp(x)-19*x^3+17*x^2+30*x)*ln(x)+(3*x^3+3*x^2)*exp(x)^2+(19*x^3-17*x^2-30*x)*exp(x)+30*x^3-83*x^2+10*x+75),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x +1\right)+\ln \left(\ln \left(x \right)-\frac{3 \,{\mathrm e}^{x} x^{2}+10 x^{2}+3 \,{\mathrm e}^{x} x -11 x -15}{3 \left(x +1\right) x}\right)-\ln \left(\ln \left(x \right)-\frac{{\mathrm e}^{x} x +3 x -5}{x}\right)$&$62$\\ \hline \end{longtable}"," ",0,"ln(x+1)+ln(ln(x)-1/3*(3*exp(x)*x^2+10*x^2+3*exp(x)*x-11*x-15)/(x+1)/x)-ln(ln(x)-(exp(x)*x+3*x-5)/x)","B"
100,1,21,22,0.064000," ","int((ln(x)^2+((-18*x+9)*exp(1)*exp(-2*x+6561)-exp(1))*ln(x)-9*exp(1)*exp(-2*x+6561)+exp(1))/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x \,{\mathrm e} \left(9 \,{\mathrm e}^{-2 x +6561}-1\right)}{\ln \left(x \right)}$&$21$\\ default&$x +\frac{9 \,{\mathrm e} x \,{\mathrm e}^{-2 x +6561}}{\ln \left(x \right)}-\frac{x \,{\mathrm e}}{\ln \left(x \right)}$&$27$\\ norman&$\frac{x \ln \left(x \right)-x \,{\mathrm e}+9 x \,{\mathrm e} \,{\mathrm e}^{-2 x +6561}}{\ln \left(x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"x+x*exp(1)*(9*exp(-2*x+6561)-1)/ln(x)","A"
101,1,57,19,0.043000," ","int((6*x*ln(3)^4+24*x*exp(1)*ln(3)^3+(36*x*exp(1)^2+64)*ln(3)^2+24*x*exp(1)^3*ln(3)+6*x*exp(1)^4)/(ln(3)^4+4*exp(1)*ln(3)^3+6*exp(1)^2*ln(3)^2+4*exp(1)^3*ln(3)+exp(1)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(3 \,{\mathrm e}^{3}+9 \,{\mathrm e}^{2} \ln \left(3\right)+9 \,{\mathrm e} \ln \left(3\right)^{2}+3 \ln \left(3\right)^{3}\right) x^{2}+\frac{64 \ln \left(3\right)^{2} x}{\ln \left(3\right)+{\mathrm e}}}{\left(\ln \left(3\right)+{\mathrm e}\right)^{3}}$&$57$\\ gosper&$\frac{x \left(3 x \,{\mathrm e}^{4}+12 x \,{\mathrm e}^{3} \ln \left(3\right)+18 \,{\mathrm e}^{2} \ln \left(3\right)^{2} x +12 x \,{\mathrm e} \ln \left(3\right)^{3}+3 x \ln \left(3\right)^{4}+64 \ln \left(3\right)^{2}\right)}{\ln \left(3\right)^{4}+4 \,{\mathrm e} \ln \left(3\right)^{3}+6 \,{\mathrm e}^{2} \ln \left(3\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(3\right)+{\mathrm e}^{4}}$&$90$\\ default&$\frac{3 x^{2} \ln \left(3\right)^{4}+12 x^{2} {\mathrm e} \ln \left(3\right)^{3}+\ln \left(3\right)^{2} \left(18 x^{2} {\mathrm e}^{2}+64 x \right)+12 x^{2} {\mathrm e}^{3} \ln \left(3\right)+3 x^{2} {\mathrm e}^{4}}{\ln \left(3\right)^{4}+4 \,{\mathrm e} \ln \left(3\right)^{3}+6 \,{\mathrm e}^{2} \ln \left(3\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(3\right)+{\mathrm e}^{4}}$&$98$\\ risch&$\frac{3 x^{2} {\mathrm e}^{4}}{\ln \left(3\right)^{4}+4 \,{\mathrm e} \ln \left(3\right)^{3}+6 \,{\mathrm e}^{2} \ln \left(3\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(3\right)+{\mathrm e}^{4}}+\frac{12 x^{2} {\mathrm e}^{3} \ln \left(3\right)}{\ln \left(3\right)^{4}+4 \,{\mathrm e} \ln \left(3\right)^{3}+6 \,{\mathrm e}^{2} \ln \left(3\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(3\right)+{\mathrm e}^{4}}+\frac{18 \,{\mathrm e}^{2} \ln \left(3\right)^{2} x^{2}}{\ln \left(3\right)^{4}+4 \,{\mathrm e} \ln \left(3\right)^{3}+6 \,{\mathrm e}^{2} \ln \left(3\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(3\right)+{\mathrm e}^{4}}+\frac{12 x^{2} {\mathrm e} \ln \left(3\right)^{3}}{\ln \left(3\right)^{4}+4 \,{\mathrm e} \ln \left(3\right)^{3}+6 \,{\mathrm e}^{2} \ln \left(3\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(3\right)+{\mathrm e}^{4}}+\frac{3 x^{2} \ln \left(3\right)^{4}}{\ln \left(3\right)^{4}+4 \,{\mathrm e} \ln \left(3\right)^{3}+6 \,{\mathrm e}^{2} \ln \left(3\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(3\right)+{\mathrm e}^{4}}+\frac{64 x \ln \left(3\right)^{2}}{\ln \left(3\right)^{4}+4 \,{\mathrm e} \ln \left(3\right)^{3}+6 \,{\mathrm e}^{2} \ln \left(3\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(3\right)+{\mathrm e}^{4}}$&$242$\\ \hline \end{longtable}"," ",0,"((3*exp(1)^3+9*ln(3)*exp(1)^2+9*exp(1)*ln(3)^2+3*ln(3)^3)*x^2+64*ln(3)^2/(ln(3)+exp(1))*x)/(ln(3)+exp(1))^3","B"
102,1,20,15,0.034000," ","int(((2*x^2+2*x)*exp(2)+2*x^3+3*x^2)*exp(x)^2+3*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2} {\mathrm e}^{2}+x^{3}\right) {\mathrm e}^{2 x}+x^{3}$&$20$\\ norman&$x^{3}+{\mathrm e}^{2 x} x^{3}+x^{2} {\mathrm e}^{2} {\mathrm e}^{2 x}$&$23$\\ default&${\mathrm e}^{2 x} x^{3}+2 \,{\mathrm e}^{2} \left(\frac{x \,{\mathrm e}^{2 x}}{2}-\frac{{\mathrm e}^{2 x}}{4}\right)+2 \,{\mathrm e}^{2} \left(\frac{{\mathrm e}^{2 x} x^{2}}{2}-\frac{x \,{\mathrm e}^{2 x}}{2}+\frac{{\mathrm e}^{2 x}}{4}\right)+x^{3}$&$58$\\ \hline \end{longtable}"," ",0,"(x^2*exp(2)+x^3)*exp(2*x)+x^3","A"
103,1,25,22,0.842000," ","int(((-2*x^3-2*x^2+729)*exp((x^3+2*x^2-9*x+729)/x)-x^2)/(3*x^2*exp((x^3+2*x^2-9*x+729)/x)^2+6*x^3*exp((x^3+2*x^2-9*x+729)/x)+3*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1}{3 x +3 \,{\mathrm e}^{\frac{x^{3}+2 x^{2}-9 x +729}{x}}}$&$25$\\ risch&$\frac{1}{3 x +3 \,{\mathrm e}^{\frac{x^{3}+2 x^{2}-9 x +729}{x}}}$&$25$\\ \hline \end{longtable}"," ",0,"1/3/(x+exp((x^3+2*x^2-9*x+729)/x))","A"
104,1,29,24,0.065000," ","int(((3*x^2-2*x-1)*ln(x)^2+((-x^2+2*x)*exp(-x)+18*x^2-2*x-6)*ln(x)+(-3*x^2+5*x)*exp(-x)+27*x^2+7*x-9)/(ln(x)^2+6*ln(x)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}-x^{2}-x +\frac{x^{2} \left({\mathrm e}^{-x}+5\right)}{3+\ln \left(x \right)}$&$29$\\ norman&$\frac{x^{2} {\mathrm e}^{-x}+x^{3} \ln \left(x \right)-3 x +2 x^{2}+3 x^{3}-x \ln \left(x \right)-x^{2} \ln \left(x \right)}{3+\ln \left(x \right)}$&$48$\\ default&$\frac{x^{3} \ln \left(x \right)-3 x +2 x^{2}+3 x^{3}-x^{2} \ln \left(x \right)-x \ln \left(x \right)}{3+\ln \left(x \right)}+\frac{x^{2} {\mathrm e}^{-x}}{3+\ln \left(x \right)}$&$55$\\ \hline \end{longtable}"," ",0,"x^3-x^2-x+x^2*(exp(-x)+5)/(3+ln(x))","A"
105,1,32,22,0.041000," ","int(3*exp(x)^2*exp(ln(2*exp(2)^2+4*exp(2)+5)+4+x)+(2*x+1)*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \,{\mathrm e}^{2 x}+\left(2 \left({\mathrm e}^{4}\right)^{2}+4 \,{\mathrm e}^{2} {\mathrm e}^{4}+5 \,{\mathrm e}^{4}\right) {\mathrm e}^{3 x}$&$32$\\ risch&$5 \,{\mathrm e}^{3 x} {\mathrm e}^{4}+2 \,{\mathrm e}^{3 x} {\mathrm e}^{8}+4 \,{\mathrm e}^{3 x} {\mathrm e}^{6}+x \,{\mathrm e}^{2 x}$&$32$\\ default&$x \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{3 x} \left({\mathrm e}^{4}\right)^{2}+4 \,{\mathrm e}^{3 x} {\mathrm e}^{4} {\mathrm e}^{2}+5 \,{\mathrm e}^{3 x} {\mathrm e}^{4}$&$38$\\ meijerg&$-{\mathrm e}^{\ln \left(2 \,{\mathrm e}^{4}+4 \,{\mathrm e}^{2}+5\right)+4} \left(1-{\mathrm e}^{3 x}\right)-\frac{\left(-4 x +2\right) {\mathrm e}^{2 x}}{4}+\frac{{\mathrm e}^{2 x}}{2}$&$43$\\ \hline \end{longtable}"," ",0,"x*exp(x)^2+(2*exp(2)^2*exp(4)+4*exp(2)*exp(4)+5*exp(4))*exp(x)^3","A"
106,1,21,23,0.042000," ","int(1/2*((20*x^2+40*x)*exp(4)+x^4-12*x^2)*exp(3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{3+x} \left(x^{2}+20 \,{\mathrm e}^{4}-4 x \right) x^{2}}{2}$&$21$\\ risch&$\frac{\left(x^{4}-4 x^{3}+20 x^{2} {\mathrm e}^{4}\right) {\mathrm e}^{3+x}}{2}$&$23$\\ norman&$-2 x^{3} {\mathrm e}^{3+x}+\frac{x^{4} {\mathrm e}^{3+x}}{2}+10 x^{2} {\mathrm e}^{4} {\mathrm e}^{3+x}$&$31$\\ meijerg&$-\left(10 \,{\mathrm e}^{4}-6\right) {\mathrm e}^{3} \left(2-\frac{\left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}}{3}\right)+20 \,{\mathrm e}^{7} \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)-\frac{{\mathrm e}^{3} \left(24-\frac{\left(5 x^{4}-20 x^{3}+60 x^{2}-120 x +120\right) {\mathrm e}^{x}}{5}\right)}{2}$&$73$\\ derivativedivides&$\frac{{\mathrm e}^{3+x} \left(3+x \right)^{4}}{2}-8 \,{\mathrm e}^{3+x} \left(3+x \right)^{3}+45 \,{\mathrm e}^{3+x} \left(3+x \right)^{2}-108 \,{\mathrm e}^{3+x} \left(3+x \right)+\frac{189 \,{\mathrm e}^{3+x}}{2}+30 \,{\mathrm e}^{3+x} {\mathrm e}^{4}-40 \,{\mathrm e}^{4} \left({\mathrm e}^{3+x} \left(3+x \right)-{\mathrm e}^{3+x}\right)+10 \,{\mathrm e}^{4} \left({\mathrm e}^{3+x} \left(3+x \right)^{2}-2 \,{\mathrm e}^{3+x} \left(3+x \right)+2 \,{\mathrm e}^{3+x}\right)$&$107$\\ default&$\frac{{\mathrm e}^{3+x} \left(3+x \right)^{4}}{2}-8 \,{\mathrm e}^{3+x} \left(3+x \right)^{3}+45 \,{\mathrm e}^{3+x} \left(3+x \right)^{2}-108 \,{\mathrm e}^{3+x} \left(3+x \right)+\frac{189 \,{\mathrm e}^{3+x}}{2}+30 \,{\mathrm e}^{3+x} {\mathrm e}^{4}-40 \,{\mathrm e}^{4} \left({\mathrm e}^{3+x} \left(3+x \right)-{\mathrm e}^{3+x}\right)+10 \,{\mathrm e}^{4} \left({\mathrm e}^{3+x} \left(3+x \right)^{2}-2 \,{\mathrm e}^{3+x} \left(3+x \right)+2 \,{\mathrm e}^{3+x}\right)$&$107$\\ \hline \end{longtable}"," ",0,"1/2*exp(3+x)*(x^2+20*exp(4)-4*x)*x^2","A"
107,1,107,30,0.062000," ","int((((-4*x^2-6*x)*exp(3)*ln(2)+(4*x^4+18*x^3+10*x^2-12*x)*exp(3)^2)*ln(x)^3+((12*x^3+18*x^2)*exp(3)*ln(2)+(-12*x^5-54*x^4-30*x^3-54*x)*exp(3)^2)*ln(x)^2+((-12*x^4-18*x^3+18*x-18)*exp(3)*ln(2)+(12*x^6+54*x^5+30*x^4+18*x^3+72*x^2+90*x-36)*exp(3)^2)*ln(x)+(4*x^5+6*x^4-18*x^2+18*x)*exp(3)*ln(2)+(-4*x^7-18*x^6-10*x^5-6*x^4-18*x^3-90*x^2+198*x-162)*exp(3)^2)/(x*ln(x)^3-3*x^2*ln(x)^2+3*x^3*ln(x)-x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{3} x \left(x^{3} {\mathrm e}^{3}+6 x^{2} {\mathrm e}^{3}+5 x \,{\mathrm e}^{3}-2 x \ln \left(2\right)-12 \,{\mathrm e}^{3}-6 \ln \left(2\right)\right)+\frac{9 \,{\mathrm e}^{3} \left(2 x^{3} {\mathrm e}^{3}-2 \ln \left(x \right) {\mathrm e}^{3} x^{2}+6 x^{2} {\mathrm e}^{3}-6 x \,{\mathrm e}^{3} \ln \left(x \right)-4 x \,{\mathrm e}^{3}+4 \ln \left(x \right) {\mathrm e}^{3}-2 x \ln \left(2\right)+2 \ln \left(2\right) \ln \left(x \right)+9 \,{\mathrm e}^{3}\right)}{\left(x -\ln \left(x \right)\right)^{2}}$&$107$\\ \hline \end{longtable}"," ",0,"exp(3)*x*(x^3*exp(3)+6*x^2*exp(3)+5*x*exp(3)-2*x*ln(2)-12*exp(3)-6*ln(2))+9*exp(3)*(2*x^3*exp(3)-2*ln(x)*exp(3)*x^2+6*x^2*exp(3)-6*x*exp(3)*ln(x)-4*x*exp(3)+4*ln(x)*exp(3)-2*x*ln(2)+2*ln(2)*ln(x)+9*exp(3))/(x-ln(x))^2","B"
108,1,32,27,0.290000," ","int(((8*x-4)*exp(5)*ln(1/3*ln(x^4-2*x^3+x^2)+1/3)+((2*x-2)*exp(5)+x^2-x)*ln(x^4-2*x^3+x^2)+(2*x-2)*exp(5)+x^2-x)/((x^2-x)*ln(x^4-2*x^3+x^2)+x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +{\mathrm e}^{5} \ln \left(\frac{\ln \left(x^{4}-2 x^{3}+x^{2}\right)}{3}+\frac{1}{3}\right)^{2}+2 \,{\mathrm e}^{5} \ln \left(x \right)$&$32$\\ default&$x +2 \,{\mathrm e}^{5} \ln \left(x \right)-2 \,{\mathrm e}^{5} \ln \left(3\right) \ln \left(\ln \left(x^{4}-2 x^{3}+x^{2}\right)+1\right)+{\mathrm e}^{5} \ln \left(\ln \left(x^{4}-2 x^{3}+x^{2}\right)+1\right)^{2}$&$52$\\ \hline \end{longtable}"," ",0,"x+exp(5)*ln(1/3*ln(x^4-2*x^3+x^2)+1/3)^2+2*exp(5)*ln(x)","A"
109,1,23,16,0.020000," ","int(exp(3)+45*x^4-180*x^3-2*x+7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$9 x^{5}-45 x^{4}-x^{2}+\left(7+{\mathrm e}^{3}\right) x$&$23$\\ gosper&$9 x^{5}-45 x^{4}+x \,{\mathrm e}^{3}-x^{2}+7 x$&$24$\\ default&$9 x^{5}-45 x^{4}+x \,{\mathrm e}^{3}-x^{2}+7 x$&$24$\\ risch&$9 x^{5}-45 x^{4}+x \,{\mathrm e}^{3}-x^{2}+7 x$&$24$\\ \hline \end{longtable}"," ",0,"9*x^5-45*x^4-x^2+(7+exp(3))*x","A"
110,1,37,23,0.063000," ","int(((4*x^3+972*x^2+78732*x+2125764)*ln(x)+(4*x^2+316*x-324)*exp(2*x)+2*x^4+484*x^3+38880*x^2+1023516*x-1062882)/(x^6+243*x^5+19683*x^4+531441*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \ln \left(x \right)}{x^{2}}-\frac{2 \left(x^{3}+162 x^{2}+6561 x -{\mathrm e}^{2 x}\right)}{x^{2} \left(81+x \right)^{2}}$&$37$\\ default&$-\frac{2}{x}-\frac{2 \ln \left(x \right)}{x^{2}}+\frac{8 \,{\mathrm e}^{2 x}}{6561 \left(2 x +162\right)^{2}}+\frac{8 \,{\mathrm e}^{2 x}}{531441 \left(2 x +162\right)}-\frac{4 \,{\mathrm e}^{2 x}}{531441 x}+\frac{2 \,{\mathrm e}^{2 x}}{6561 x^{2}}$&$58$\\ \hline \end{longtable}"," ",0,"-2*ln(x)/x^2-2*(x^3+162*x^2+6561*x-exp(2*x))/x^2/(81+x)^2","A"
111,1,36,24,0.142000," ","int((x^4-3*x^3-14*x^2-20*x+40)*exp(((-2*x^2+3*x)*exp(4)+x^2+4)/(x^2+4)/exp(4))/(x^4+8*x^2+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(2+x \right) {\mathrm e}^{-\frac{\left(2 x^{2} {\mathrm e}^{4}-3 x \,{\mathrm e}^{4}-x^{2}-4\right) {\mathrm e}^{-4}}{x^{2}+4}}$&$36$\\ gosper&$\left(2+x \right) {\mathrm e}^{-\frac{\left(2 x^{2} {\mathrm e}^{4}-3 x \,{\mathrm e}^{4}-x^{2}-4\right) {\mathrm e}^{-4}}{x^{2}+4}}$&$38$\\ norman&$\frac{x^{3} {\mathrm e}^{\frac{\left(\left(-2 x^{2}+3 x \right) {\mathrm e}^{4}+x^{2}+4\right) {\mathrm e}^{-4}}{x^{2}+4}}+4 x \,{\mathrm e}^{\frac{\left(\left(-2 x^{2}+3 x \right) {\mathrm e}^{4}+x^{2}+4\right) {\mathrm e}^{-4}}{x^{2}+4}}+2 x^{2} {\mathrm e}^{\frac{\left(\left(-2 x^{2}+3 x \right) {\mathrm e}^{4}+x^{2}+4\right) {\mathrm e}^{-4}}{x^{2}+4}}+8 \,{\mathrm e}^{\frac{\left(\left(-2 x^{2}+3 x \right) {\mathrm e}^{4}+x^{2}+4\right) {\mathrm e}^{-4}}{x^{2}+4}}}{x^{2}+4}$&$144$\\ \hline \end{longtable}"," ",0,"(2+x)*exp(-(2*x^2*exp(4)-3*x*exp(4)-x^2-4)*exp(-4)/(x^2+4))","A"
112,1,10,20,0.055000," ","int((10*ln(2)+2*x)/(10*x*ln(2)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \left(10 \ln \left(2\right)+x \right)\right)$&$10$\\ derivativedivides&$\ln \left(10 x \ln \left(2\right)+x^{2}\right)$&$11$\\ norman&$\ln \left(x \right)+\ln \left(10 \ln \left(2\right)+x \right)$&$11$\\ risch&$\ln \left(10 x \ln \left(2\right)+x^{2}\right)$&$11$\\ meijerg&$\ln \left(1+\frac{x}{10 \ln \left(2\right)}\right)+\ln \left(x \right)-\ln \left(2\right)-\ln \left(5\right)-\ln \left(\ln \left(2\right)\right)$&$27$\\ \hline \end{longtable}"," ",0,"ln(x*(10*ln(2)+x))","A"
113,1,25,22,0.065000," ","int((50*x^2*exp(3)^2+600*x^4*exp(3)+1350*x^6+2)/(2*x*ln(x)+25*x^3*exp(3)^2+150*x^5*exp(3)+225*x^7+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\frac{225 x^{6}}{2}+75 x^{4} {\mathrm e}^{3}+\frac{25 x^{2} {\mathrm e}^{6}}{2}+\ln \left(x \right)+\frac{3}{2}\right)$&$25$\\ norman&$\ln \left(225 x^{6}+150 x^{4} {\mathrm e}^{3}+25 x^{2} {\mathrm e}^{6}+2 \ln \left(x \right)+3\right)$&$29$\\ \hline \end{longtable}"," ",0,"ln(225/2*x^6+75*x^4*exp(3)+25/2*x^2*exp(6)+ln(x)+3/2)","A"
114,1,46,26,0.067000," ","int((4*(-256*x^3-384*x^2)*ln(2)^2*exp(x)^2+4*(1024*x^3+4608*x^2+3072*x)*ln(2)^2*exp(x)+4*(-6144*x^2-12288*x-5632)*ln(2)^2)/(x^9*exp(x)^6+(-24*x^9-36*x^8)*exp(x)^5+(240*x^9+720*x^8+564*x^7+120*x^6)*exp(x)^4+(-1280*x^9-5760*x^8-9024*x^7-6816*x^6-2880*x^5)*exp(x)^3+(3840*x^9+23040*x^8+54144*x^7+70272*x^6+59376*x^5+27840*x^4+4800*x^3)*exp(x)^2+(-6144*x^9-46080*x^8-144384*x^7-265728*x^6-336768*x^5-292416*x^4-165120*x^3-57600*x^2)*exp(x)+4096*x^9+36864*x^8+144384*x^7+344064*x^6+581376*x^5+724224*x^4+668864*x^3+462720*x^2+211200*x+64000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{256 \ln \left(2\right)^{2}}{\left({\mathrm e}^{2 x} x^{3}-8 \,{\mathrm e}^{x} x^{3}-12 \,{\mathrm e}^{x} x^{2}+16 x^{3}+48 x^{2}+44 x +40\right)^{2}}$&$46$\\ \hline \end{longtable}"," ",0,"256*ln(2)^2/(exp(2*x)*x^3-8*exp(x)*x^3-12*exp(x)*x^2+16*x^3+48*x^2+44*x+40)^2","A"
115,1,26,23,0.028000," ","int(((-6*x*ln(7)+24*x^2+15)*exp(x)+36*x^4-144*x^3)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$8 x^{3}+15 x -3 x^{2} \ln \left(7\right)-36 x^{4} {\mathrm e}^{-x}$&$26$\\ risch&$8 x^{3}+15 x -3 x^{2} \ln \left(7\right)-36 x^{4} {\mathrm e}^{-x}$&$26$\\ norman&$\left(-36 x^{4}+15 \,{\mathrm e}^{x} x +8 \,{\mathrm e}^{x} x^{3}-3 x^{2} \ln \left(7\right) {\mathrm e}^{x}\right) {\mathrm e}^{-x}$&$33$\\ \hline \end{longtable}"," ",0,"8*x^3+15*x-3*x^2*ln(7)-36*x^4/exp(x)","A"
116,1,16,13,0.027000," ","int((-24*x^2-12*x+1)/(x*ln(x)-12*x^3-12*x^2+10*x)/ln(ln(x)-12*x^2-12*x+10)/ln(ln(ln(x)-12*x^2-12*x+10)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\ln \left(\ln \left(x \right)-12 x^{2}-12 x +10\right)\right)\right)$&$16$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(ln(x)-12*x^2-12*x+10)))","A"
117,1,57,30,0.074000," ","int(((10*x^2*ln(2)-2*x-5)*ln(2*x)^2+(2*(-10*x^3+2*x^2)*ln(2)+4*x^2+10*x)*ln(2*x)+2*(5*x^4-4*x^3-8*x^2+10*x)*ln(2)-2*x^3-5*x^2)*exp(((2*x^2*ln(2)+1)*ln(2*x)+2*(-x^3-2*x)*ln(2)-x)/(2*(x^2+5*x)*ln(2)*ln(2*x)+2*(-x^3-5*x^2)*ln(2)))/(2*(x^4+10*x^3+25*x^2)*ln(2)*ln(2*x)^2+2*(-2*x^5-20*x^4-50*x^3)*ln(2)*ln(2*x)+2*(x^6+10*x^5+25*x^4)*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 \ln \left(2\right) \ln \left(2 x \right) x^{2}-2 x^{3} \ln \left(2\right)-4 x \ln \left(2\right)+\ln \left(2 x \right)-x}{2 \ln \left(2\right) x \left(5+x \right) \left(\ln \left(2 x \right)-x \right)}}$&$57$\\ \hline \end{longtable}"," ",0,"exp(1/2*(2*ln(2)*ln(2*x)*x^2-2*x^3*ln(2)-4*x*ln(2)+ln(2*x)-x)/ln(2)/x/(5+x)/(ln(2*x)-x))","A"
118,1,19,24,0.090000," ","int(1/5*((x*exp(5)+5*x+5)*exp(-1/5*x*exp(5))-45*x-45)/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(9-{\mathrm e}^{-\frac{x \,{\mathrm e}^{5}}{5}}\right) {\mathrm e}^{-x}}{x}$&$19$\\ risch&$\frac{9 \,{\mathrm e}^{-x}}{x}-\frac{{\mathrm e}^{-\frac{x \left({\mathrm e}^{5}+5\right)}{5}}}{x}$&$24$\\ default&$-\frac{{\mathrm e}^{5} \expIntegralEi \left(1, -\left(-1-\frac{{\mathrm e}^{5}}{5}\right) x \right)}{5}+\frac{9 \,{\mathrm e}^{-x}}{x}+\left(-1-\frac{{\mathrm e}^{5}}{5}\right) \left(-\frac{{\mathrm e}^{\left(-1-\frac{{\mathrm e}^{5}}{5}\right) x}}{\left(-1-\frac{{\mathrm e}^{5}}{5}\right) x}-\expIntegralEi \left(1, -\left(-1-\frac{{\mathrm e}^{5}}{5}\right) x \right)\right)-\expIntegralEi \left(1, -\left(-1-\frac{{\mathrm e}^{5}}{5}\right) x \right)$&$82$\\ meijerg&$-\frac{9 \left(-2 x +2\right)}{2 x}+\frac{9 \,{\mathrm e}^{-x}}{x}-4+\frac{9}{x}+\frac{{\mathrm e}^{5} \left(1+5 \,{\mathrm e}^{-5}\right) \left(\frac{5 \,{\mathrm e}^{-5} \left(-\frac{2 x \,{\mathrm e}^{5} \left(1+5 \,{\mathrm e}^{-5}\right)}{5}+2\right)}{2 x \left(1+5 \,{\mathrm e}^{-5}\right)}-\frac{5 \,{\mathrm e}^{-5-\frac{x \,{\mathrm e}^{5} \left(1+5 \,{\mathrm e}^{-5}\right)}{5}}}{x \left(1+5 \,{\mathrm e}^{-5}\right)}+\ln \left(\frac{x \,{\mathrm e}^{5} \left(1+5 \,{\mathrm e}^{-5}\right)}{5}\right)+\expIntegralEi \left(1, \frac{x \,{\mathrm e}^{5} \left(1+5 \,{\mathrm e}^{-5}\right)}{5}\right)-4-\ln \left(x \right)+\ln \left(5\right)-\ln \left(1+5 \,{\mathrm e}^{-5}\right)-\frac{5 \,{\mathrm e}^{-5}}{x \left(1+5 \,{\mathrm e}^{-5}\right)}\right)}{5}-\ln \left(\frac{x \,{\mathrm e}^{5} \left(1+5 \,{\mathrm e}^{-5}\right)}{5}\right)-\expIntegralEi \left(1, \frac{x \,{\mathrm e}^{5} \left(1+5 \,{\mathrm e}^{-5}\right)}{5}\right)+\ln \left(x \right)-\ln \left(5\right)+\ln \left(1+5 \,{\mathrm e}^{-5}\right)+\frac{{\mathrm e}^{5} \left(-\ln \left(\frac{x \,{\mathrm e}^{5} \left(1+5 \,{\mathrm e}^{-5}\right)}{5}\right)-\expIntegralEi \left(1, \frac{x \,{\mathrm e}^{5} \left(1+5 \,{\mathrm e}^{-5}\right)}{5}\right)+\ln \left(x \right)-\ln \left(5\right)+5+\ln \left(1+5 \,{\mathrm e}^{-5}\right)\right)}{5}$&$239$\\ \hline \end{longtable}"," ",0,"(9-exp(-1/5*x*exp(5)))/exp(x)/x","A"
119,1,17,17,0.016000," ","int(1/64*(-x*ln(x)^3-2*x*ln(x)^2+40*x*ln(x)-4)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x \ln \left(x \right)^{2}}{64}+\frac{5 x}{8}-\frac{\ln \left(\ln \left(x \right)\right)}{16}$&$17$\\ norman&$-\frac{x \ln \left(x \right)^{2}}{64}+\frac{5 x}{8}-\frac{\ln \left(\ln \left(x \right)\right)}{16}$&$17$\\ risch&$-\frac{x \ln \left(x \right)^{2}}{64}+\frac{5 x}{8}-\frac{\ln \left(\ln \left(x \right)\right)}{16}$&$17$\\ \hline \end{longtable}"," ",0,"-1/64*x*ln(x)^2+5/8*x-1/16*ln(ln(x))","A"
120,1,18,17,0.095000," ","int((-432*exp(x)+324)/(144*exp(x)^2+(-288*exp(4)-216*x-1632)*exp(x)+144*exp(4)^2+(216*x+1632)*exp(4)+81*x^2+1224*x+4624),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{36}{9 x +68+12 \,{\mathrm e}^{4}-12 \,{\mathrm e}^{x}}$&$18$\\ risch&$-\frac{36}{9 x +68+12 \,{\mathrm e}^{4}-12 \,{\mathrm e}^{x}}$&$18$\\ \hline \end{longtable}"," ",0,"-36/(9*x+68+12*exp(4)-12*exp(x))","A"
121,1,36,21,0.033000," ","int(1/3*(30*x^2-60*x-120)*exp(x)+1/3*(-10*x+10)*exp(5)*exp(1/3*x)-20*x+40,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(30 x^{2}-120 x \right) {\mathrm e}^{x}}{3}+\frac{\left(-30 x +120\right) {\mathrm e}^{\frac{x}{3}+5}}{3}-10 x^{2}+40 x$&$36$\\ default&$-10 x^{2}+40 x +10 \,{\mathrm e}^{x} x^{2}-40 \,{\mathrm e}^{x} x +\frac{10 \,{\mathrm e}^{5} \left(-3 x \,{\mathrm e}^{\frac{x}{3}}+12 \,{\mathrm e}^{\frac{x}{3}}\right)}{3}$&$40$\\ norman&$-10 \,{\mathrm e}^{5} {\mathrm e}^{\frac{x}{3}} x +10 \,{\mathrm e}^{x} x^{2}+40 \,{\mathrm e}^{5} {\mathrm e}^{\frac{x}{3}}-40 \,{\mathrm e}^{x} x -10 x^{2}+40 x$&$47$\\ \hline \end{longtable}"," ",0,"1/3*(30*x^2-120*x)*exp(x)+1/3*(-30*x+120)*exp(1/3*x+5)-10*x^2+40*x","A"
122,1,23,22,0.098000," ","int((-120*x^5-20*x^3+5*x^2-20)*exp((-6*x^5-2*x^3+x^2+4)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$5 \,{\mathrm e}^{\frac{-6 x^{5}-2 x^{3}+x^{2}+4}{x}}$&$23$\\ gosper&$5 \,{\mathrm e}^{-\frac{6 x^{5}+2 x^{3}-x^{2}-4}{x}}$&$26$\\ risch&$5 \,{\mathrm e}^{-\frac{6 x^{5}+2 x^{3}-x^{2}-4}{x}}$&$26$\\ \hline \end{longtable}"," ",0,"5*exp((-6*x^5-2*x^3+x^2+4)/x)","A"
123,1,18,21,0.174000," ","int(1/40*(x^2+3)*exp(3)^2*exp(1/80*exp(3)^2/exp((-x^2+3)/x)^2)/x^2/exp((-x^2+3)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{\frac{2 x^{2}+6 x -6}{x}}}{80}}$&$18$\\ norman&${\mathrm e}^{\frac{{\mathrm e}^{6} {\mathrm e}^{-\frac{2 \left(-x^{2}+3\right)}{x}}}{80}}$&$22$\\ \hline \end{longtable}"," ",0,"exp(1/80*exp(2*(x^2+3*x-3)/x))","A"
124,1,111,25,0.238000," ","int(((-900*x+18000)*exp(x)-900)/(((x-20)*ln(-x+20)+(x-20)*exp(x)-x+20)*ln(ln(-x+20)^2+(2*exp(x)-2)*ln(-x+20)+exp(x)^2-2*exp(x)+1)^3+((-15*x+300)*ln(-x+20)+(-15*x+300)*exp(x)+15*x-300)*ln(ln(-x+20)^2+(2*exp(x)-2)*ln(-x+20)+exp(x)^2-2*exp(x)+1)^2+((75*x-1500)*ln(-x+20)+(75*x-1500)*exp(x)-75*x+1500)*ln(ln(-x+20)^2+(2*exp(x)-2)*ln(-x+20)+exp(x)^2-2*exp(x)+1)+(-125*x+2500)*ln(-x+20)+(-125*x+2500)*exp(x)+125*x-2500),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{900}{\left(\pi  \mathrm{csgn}\left(i \left(-1+{\mathrm e}^{x}+\ln \left(-x +20\right)\right)\right)^{2} \mathrm{csgn}\left(i \left(-1+{\mathrm e}^{x}+\ln \left(-x +20\right)\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(-1+{\mathrm e}^{x}+\ln \left(-x +20\right)\right)\right) \mathrm{csgn}\left(i \left(-1+{\mathrm e}^{x}+\ln \left(-x +20\right)\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(-1+{\mathrm e}^{x}+\ln \left(-x +20\right)\right)^{2}\right)^{3}+4 i \ln \left(-1+{\mathrm e}^{x}+\ln \left(-x +20\right)\right)-10 i\right)^{2}}$&$111$\\ \hline \end{longtable}"," ",0,"-900/(Pi*csgn(I*(-1+exp(x)+ln(-x+20)))^2*csgn(I*(-1+exp(x)+ln(-x+20))^2)-2*Pi*csgn(I*(-1+exp(x)+ln(-x+20)))*csgn(I*(-1+exp(x)+ln(-x+20))^2)^2+Pi*csgn(I*(-1+exp(x)+ln(-x+20))^2)^3+4*I*ln(-1+exp(x)+ln(-x+20))-10*I)^2","C"
125,1,21,23,0.042000," ","int((60*x^4*exp(4)^4+10800000000*x^2-32400000000)/x^7/exp(4)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-16} \left(-30 x^{4} {\mathrm e}^{16}-2700000000 x^{2}+5400000000\right)}{x^{6}}$&$21$\\ gosper&$-\frac{30 \left(x^{4} {\mathrm e}^{16}+90000000 x^{2}-180000000\right) {\mathrm e}^{-16}}{x^{6}}$&$25$\\ default&$60 \,{\mathrm e}^{-16} \left(-\frac{{\mathrm e}^{16}}{2 x^{2}}-\frac{45000000}{x^{4}}+\frac{90000000}{x^{6}}\right)$&$25$\\ norman&$\frac{\left(5400000000 \,{\mathrm e}^{-4}-2700000000 x^{2} {\mathrm e}^{-4}-30 x^{4} {\mathrm e}^{12}\right) {\mathrm e}^{-12}}{x^{6}}$&$34$\\ \hline \end{longtable}"," ",0,"exp(-16)*(-30*x^4*exp(16)-2700000000*x^2+5400000000)/x^6","A"
126,1,20,24,0.040000," ","int(1/4*(-4*ln(ln(2))^2-x^2*exp(exp(1))+8*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-\frac{x \,{\mathrm e}^{{\mathrm e}}}{4}+\frac{\ln \left(\ln \left(2\right)\right)^{2}}{x}$&$20$\\ risch&$x^{2}-\frac{x \,{\mathrm e}^{{\mathrm e}}}{4}+\frac{\ln \left(\ln \left(2\right)\right)^{2}}{x}$&$20$\\ norman&$\frac{x^{3}+\ln \left(\ln \left(2\right)\right)^{2}-\frac{x^{2} {\mathrm e}^{{\mathrm e}}}{4}}{x}$&$22$\\ gosper&$-\frac{-4 x^{3}+x^{2} {\mathrm e}^{{\mathrm e}}-4 \ln \left(\ln \left(2\right)\right)^{2}}{4 x}$&$26$\\ \hline \end{longtable}"," ",0,"x^2-1/4*x*exp(exp(1))+ln(ln(2))^2/x","A"
127,1,162,29,0.161000," ","int(((4*x+4)*ln(5*x+5)+4*x-16)*ln(ln(3))/((x^2-3*x-4)*exp(5)*ln(5*x+5)*ln(2/(x-4)/ln(5*x+5))^2+(10*x^2-30*x-40)*exp(5)*ln(5*x+5)*ln(2/(x-4)/ln(5*x+5))+(25*x^2-75*x-100)*exp(5)*ln(5*x+5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 i \ln \left(\ln \left(3\right)\right) {\mathrm e}^{-5}}{\pi  \,\mathrm{csgn}\left(\frac{i}{x -4}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(5 x +5\right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(5 x +5\right) \left(x -4\right)}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x -4}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(5 x +5\right) \left(x -4\right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(5 x +5\right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(5 x +5\right) \left(x -4\right)}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i}{\ln \left(5 x +5\right) \left(x -4\right)}\right)^{3}+2 i \ln \left(2\right)-2 i \ln \left(x -4\right)-2 i \ln \left(\ln \left(5 x +5\right)\right)+10 i}$&$162$\\ \hline \end{longtable}"," ",0,"8*I*ln(ln(3))*exp(-5)/(Pi*csgn(I/(x-4))*csgn(I/ln(5*x+5))*csgn(I/ln(5*x+5)/(x-4))-Pi*csgn(I/(x-4))*csgn(I/ln(5*x+5)/(x-4))^2-Pi*csgn(I/ln(5*x+5))*csgn(I/ln(5*x+5)/(x-4))^2+Pi*csgn(I/ln(5*x+5)/(x-4))^3+2*I*ln(2)-2*I*ln(x-4)-2*I*ln(ln(5*x+5))+10*I)","C"
128,1,20,20,0.088000," ","int(((5*x^5+5*x^4-70*x^3-70*x^2+245*x+245)*exp(x)+10*x^4-139*x^2+497)/(x^4-14*x^2+49),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{x^{2}-7}+10 x +5 \,{\mathrm e}^{x} x$&$20$\\ default&$-\frac{x}{x^{2}-7}+10 x +5 \left(x -1\right) {\mathrm e}^{x}+5 \,{\mathrm e}^{x}$&$26$\\ norman&$\frac{-71 x +10 x^{3}-35 \,{\mathrm e}^{x} x +5 \,{\mathrm e}^{x} x^{3}}{x^{2}-7}$&$30$\\ \hline \end{longtable}"," ",0,"-x/(x^2-7)+10*x+5*exp(x)*x","A"
129,1,30,27,0.114000," ","int(((x^5-x^3)*ln(x^3-x)+(-x^6+x^5+x^4-x^3)*exp(x)-8*x^5+6*x^3-4*x^2+4)/(x^7-x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(x^{3}-x \right)}{x}+\frac{5}{x}-\frac{{\mathrm e}^{x}}{x}+\frac{1}{x^{4}}$&$30$\\ risch&$-\frac{\ln \left(x^{2}-1\right)}{x}-\frac{-i \pi  \,x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x^{2}-1\right)\right) \mathrm{csgn}\left(i x \left(x^{2}-1\right)\right)+i \pi  \,x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x^{2}-1\right)\right)^{2}+i \pi  \,x^{3} \mathrm{csgn}\left(i \left(x^{2}-1\right)\right) \mathrm{csgn}\left(i x \left(x^{2}-1\right)\right)^{2}-i \pi  \,x^{3} \mathrm{csgn}\left(i x \left(x^{2}-1\right)\right)^{3}+2 \,{\mathrm e}^{x} x^{3}+2 x^{3} \ln \left(x \right)-10 x^{3}-2}{2 x^{4}}$&$141$\\ \hline \end{longtable}"," ",0,"-1/x*ln(x^3-x)+5/x-exp(x)/x+1/x^4","A"
130,1,17,16,0.068000," ","int((((3*x+12)*exp(x)*ln(4+x)+3*exp(x))*ln(2*ln(5))+(4+x)*exp(x))/(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 \ln \left(2 \ln \left(5\right)\right) {\mathrm e}^{x} \ln \left(4+x \right)+{\mathrm e}^{x}$&$17$\\ risch&$3 \left(\ln \left(2\right)+\ln \left(\ln \left(5\right)\right)\right) {\mathrm e}^{x} \ln \left(4+x \right)+{\mathrm e}^{x}$&$18$\\ norman&$\left(3 \ln \left(2\right)+3 \ln \left(\ln \left(5\right)\right)\right) {\mathrm e}^{x} \ln \left(4+x \right)+{\mathrm e}^{x}$&$21$\\ \hline \end{longtable}"," ",0,"3*ln(2*ln(5))*exp(x)*ln(4+x)+exp(x)","A"
131,1,27,27,0.057000," ","int((((-x-1)*exp(x-2)-3)*exp(exp(4)*ln(2)+x*exp(4))-4*x*exp(4)+4)/exp(exp(4)*ln(2)+x*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{x -2}-3 x +4 x 2^{-{\mathrm e}^{4}} {\mathrm e}^{-x \,{\mathrm e}^{4}}$&$27$\\ norman&$\left(4 x -3 x \,{\mathrm e}^{{\mathrm e}^{4} \ln \left(2\right)+x \,{\mathrm e}^{4}}-{\mathrm e}^{x -2} {\mathrm e}^{{\mathrm e}^{4} \ln \left(2\right)+x \,{\mathrm e}^{4}} x \right) {\mathrm e}^{-{\mathrm e}^{4} \ln \left(2\right)-x \,{\mathrm e}^{4}}$&$51$\\ default&$-3 x -4 \,2^{-{\mathrm e}^{4}} {\mathrm e}^{-4} {\mathrm e}^{-x \,{\mathrm e}^{4}}-{\mathrm e}^{x} {\mathrm e}^{-2}-{\mathrm e}^{-2} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)-4 \,2^{-{\mathrm e}^{4}} {\mathrm e}^{-4} \left(-x \,{\mathrm e}^{4} {\mathrm e}^{-x \,{\mathrm e}^{4}}-{\mathrm e}^{-x \,{\mathrm e}^{4}}\right)$&$77$\\ \hline \end{longtable}"," ",0,"-x*exp(x-2)-3*x+4*x/(2^exp(4))*exp(-x*exp(4))","A"
132,1,26,23,0.059000," ","int(((-8*x^2+60*x-28)*ln(-x+7)^2+8*x*ln(-x+7)-2*x^3+16*x^2-14*x)/(x-7)/exp(2*ln(3)+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x \,{\mathrm e}^{-2 x} \ln \left(-x +7\right)^{2}}{81}+\frac{x^{2} {\mathrm e}^{-2 x}}{81}$&$26$\\ \hline \end{longtable}"," ",0,"4/81*x*exp(-2*x)*ln(-x+7)^2+1/81*x^2*exp(-2*x)","A"
133,1,26,24,0.088000," ","int(1/10*((exp(1)+2*x^2+1)*exp(1/2*(2*x*exp(5)-exp(1)+2*x^2-1)/x)+10*exp(x)*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x}+\frac{{\mathrm e}^{-\frac{-2 x \,{\mathrm e}^{5}+{\mathrm e}-2 x^{2}+1}{2 x}}}{5}$&$26$\\ norman&$\frac{{\mathrm e}^{x} x +\frac{x \,{\mathrm e}^{\frac{2 x \,{\mathrm e}^{5}-{\mathrm e}+2 x^{2}-1}{2 x}}}{5}}{x}$&$35$\\ \hline \end{longtable}"," ",0,"exp(x)+1/5*exp(-1/2*(-2*x*exp(5)+exp(1)-2*x^2+1)/x)","A"
134,1,25,31,0.138000," ","int(((x^3+9*x^2+3*x+11)*exp((x^3+5*x^2+27*x+35)/(x^2+6*x+9))-x^3-9*x^2-27*x-27)/(x^3+9*x^2+27*x+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{\frac{x^{3}+5 x^{2}+27 x +35}{\left(3+x \right)^{2}}}$&$25$\\ norman&$\frac{27 x +{\mathrm e}^{\frac{x^{3}+5 x^{2}+27 x +35}{x^{2}+6 x +9}} x^{2}-x^{3}+6 \,{\mathrm e}^{\frac{x^{3}+5 x^{2}+27 x +35}{x^{2}+6 x +9}} x +9 \,{\mathrm e}^{\frac{x^{3}+5 x^{2}+27 x +35}{x^{2}+6 x +9}}+54}{\left(3+x \right)^{2}}$&$101$\\ \hline \end{longtable}"," ",0,"-x+exp((x^3+5*x^2+27*x+35)/(3+x)^2)","A"
135,1,26,27,0.044000," ","int(((5*x-1)*exp(5*x)+(x^2-4*x+4)*exp(x)-10*ln(2)+x^2-10)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}+{\mathrm e}^{5 x}+{\mathrm e}^{x} x -4 \,{\mathrm e}^{x}+10 \ln \left(2\right)+10}{x}$&$26$\\ default&$x +\frac{10}{x}+\frac{{\mathrm e}^{5 x}}{x}-\frac{4 \,{\mathrm e}^{x}}{x}+\frac{10 \ln \left(2\right)}{x}+{\mathrm e}^{x}$&$32$\\ risch&$x +\frac{10 \ln \left(2\right)}{x}+\frac{10}{x}+\frac{{\mathrm e}^{5 x}}{x}+\frac{\left(x -4\right) {\mathrm e}^{x}}{x}$&$32$\\ \hline \end{longtable}"," ",0,"(x^2+exp(x)^5+exp(x)*x-4*exp(x)+10*ln(2)+10)/x","A"
136,1,331,36,0.284000," ","int((((-9*exp(x)*x^3+9*x^4)*ln(x-exp(x))+(x^5+24*x^4+114*x^3-360*x^2+225*x)*exp(x)-x^6-24*x^5-114*x^4+360*x^3-225*x^2)*ln(1/9*(-9*x^2*ln(x-exp(x))+x^4+24*x^3+114*x^2-360*x+225)/x^2)^2+(2*x^4+15*x^3+360*x-450)*exp(x)-2*x^5-24*x^4+9*x^3-360*x^2+450*x)/((9*exp(x)*x^3-9*x^4)*ln(x-exp(x))+(-x^5-24*x^4-114*x^3+360*x^2-225*x)*exp(x)+x^6+24*x^5+114*x^4-360*x^3+225*x^2)/ln(1/9*(-9*x^2*ln(x-exp(x))+x^4+24*x^3+114*x^2-360*x+225)/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{2 i}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left(225+x^{4}+24 x^{3}+\left(-9 \ln \left(x -{\mathrm e}^{x}\right)+114\right) x^{2}-360 x \right)\right) \mathrm{csgn}\left(\frac{i \left(225+x^{4}+24 x^{3}+\left(-9 \ln \left(x -{\mathrm e}^{x}\right)+114\right) x^{2}-360 x \right)}{x^{2}}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(225+x^{4}+24 x^{3}+\left(-9 \ln \left(x -{\mathrm e}^{x}\right)+114\right) x^{2}-360 x \right)}{x^{2}}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(225+x^{4}+24 x^{3}+\left(-9 \ln \left(x -{\mathrm e}^{x}\right)+114\right) x^{2}-360 x \right)\right) \mathrm{csgn}\left(\frac{i \left(225+x^{4}+24 x^{3}+\left(-9 \ln \left(x -{\mathrm e}^{x}\right)+114\right) x^{2}-360 x \right)}{x^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(225+x^{4}+24 x^{3}+\left(-9 \ln \left(x -{\mathrm e}^{x}\right)+114\right) x^{2}-360 x \right)}{x^{2}}\right)^{3}+4 i \ln \left(3\right)+4 i \ln \left(x \right)-2 i \ln \left(225+x^{4}+24 x^{3}+\left(-9 \ln \left(x -{\mathrm e}^{x}\right)+114\right) x^{2}-360 x \right)}$&$331$\\ \hline \end{longtable}"," ",0,"-x-2*I/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I/x^2)*csgn(I*(225+x^4+24*x^3+(-9*ln(x-exp(x))+114)*x^2-360*x))*csgn(I/x^2*(225+x^4+24*x^3+(-9*ln(x-exp(x))+114)*x^2-360*x))+Pi*csgn(I/x^2)*csgn(I/x^2*(225+x^4+24*x^3+(-9*ln(x-exp(x))+114)*x^2-360*x))^2+Pi*csgn(I*(225+x^4+24*x^3+(-9*ln(x-exp(x))+114)*x^2-360*x))*csgn(I/x^2*(225+x^4+24*x^3+(-9*ln(x-exp(x))+114)*x^2-360*x))^2-Pi*csgn(I/x^2*(225+x^4+24*x^3+(-9*ln(x-exp(x))+114)*x^2-360*x))^3+4*I*ln(3)+4*I*ln(x)-2*I*ln(225+x^4+24*x^3+(-9*ln(x-exp(x))+114)*x^2-360*x))","C"
137,1,58,28,0.307000," ","int(((-32*x^2-128*x-128)*ln(ln(2))^2+(16*x^3+48*x^2)*exp(x^3/(2+x))*ln(ln(2)))*ln(2*ln(2))/((16*x^4+64*x^3+64*x^2)*ln(ln(2))^2+(-8*x^3-32*x^2-32*x)*exp(x^3/(2+x))*ln(ln(2))+(x^2+4*x+4)*exp(x^3/(2+x))^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)}{4 x \ln \left(\ln \left(2\right)\right)-{\mathrm e}^{\frac{x^{3}}{2+x}}}+\frac{8 \ln \left(\ln \left(2\right)\right)^{2}}{4 x \ln \left(\ln \left(2\right)\right)-{\mathrm e}^{\frac{x^{3}}{2+x}}}$&$58$\\ norman&$\frac{\left(8 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+8 \ln \left(\ln \left(2\right)\right)^{2}\right) x +16 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+16 \ln \left(\ln \left(2\right)\right)^{2}}{\left(2+x \right) \left(4 x \ln \left(\ln \left(2\right)\right)-{\mathrm e}^{\frac{x^{3}}{2+x}}\right)}$&$60$\\ \hline \end{longtable}"," ",0,"8*ln(ln(2))/(4*x*ln(ln(2))-exp(x^3/(2+x)))*ln(2)+8*ln(ln(2))^2/(4*x*ln(ln(2))-exp(x^3/(2+x)))","B"
138,1,17,18,0.032000," ","int(((-2*x^2+x+1)*ln(5*x)+4*x-1)/(x*ln(5*x)-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x^{2}+x +\ln \left(x \ln \left(5 x \right)-2\right)$&$17$\\ risch&$\ln \left(x \right)+x -x^{2}+\ln \left(\ln \left(5 x \right)-\frac{2}{x}\right)$&$21$\\ \hline \end{longtable}"," ",0,"-x^2+x+ln(x*ln(5*x)-2)","A"
139,1,33,25,0.028000," ","int(((-exp(x)*x-2*x)*ln(16/25*x)+(-5*x^5-8*x^4-3*x^3-1)*exp(x)-10*x^5-16*x^4-6*x^3-2*x-2)/(exp(x)*x+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\frac{16 x}{25}\right) x -x^{5}-2 x^{4}-x^{3}-\ln \left(x \right)+\ln \left({\mathrm e}^{x}+2\right)$&$33$\\ \hline \end{longtable}"," ",0,"-ln(16/25*x)*x-x^5-2*x^4-x^3-ln(x)+ln(exp(x)+2)","A"
140,1,50,22,0.059000," ","int(((18*x^3-126*x)*ln(-x^2+7)^2+(-72*x^4+180*x^3+480*x^2-972*x+168)*ln(-x^2+7)+64*x^5-336*x^4+16*x^3+1872*x^2-2096*x+672)*exp(1/9*(9*x^2+9)*ln(-x^2+7)^2+1/9*(-24*x^3+72*x^2-24*x+72)*ln(-x^2+7)+16/9*x^4-32/3*x^3+160/9*x^2-32/3*x+16)/(9*x^2-63),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x^{2}+7\right)^{-\frac{8 \left(x -3\right) \left(x^{2}+1\right)}{3}} {\mathrm e}^{\frac{\left(x^{2}+1\right) \left(9 \ln \left(-x^{2}+7\right)^{2}+16 x^{2}-96 x +144\right)}{9}}$&$50$\\ \hline \end{longtable}"," ",0,"(-x^2+7)^(-8/3*(x-3)*(x^2+1))*exp(1/9*(x^2+1)*(9*ln(-x^2+7)^2+16*x^2-96*x+144))","B"
141,1,17,18,0.041000," ","int(1/2*(5*x+5)*exp(exp(1))*exp(1/2*(5*x^2+10*x)*exp(exp(1)))-1/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{2}+\frac{{\mathrm e}^{\frac{5 x \left(2+x \right) {\mathrm e}^{{\mathrm e}}}{2}}}{2}$&$17$\\ norman&$-\frac{x}{2}+\frac{{\mathrm e}^{\frac{\left(5 x^{2}+10 x \right) {\mathrm e}^{{\mathrm e}}}{2}}}{2}$&$22$\\ default&$-\frac{x}{2}+\frac{{\mathrm e}^{\frac{5 x^{2} {\mathrm e}^{{\mathrm e}}}{2}+5 x \,{\mathrm e}^{{\mathrm e}}}}{2}$&$23$\\ \hline \end{longtable}"," ",0,"-1/2*x+1/2*exp(5/2*x*(2+x)*exp(exp(1)))","A"
142,0,0,24,180.000000," ","int((8*ln(5/x^2)^2*ln(1/3*x)+(x*exp(1/4*x)-8)*ln(5/x^2)^2+4*x*ln(5/x^2)+8*x)/(4*x*ln(5/x^2)^2*ln(1/3*x)^2-8*x*ln(5/x^2)^2*ln(1/3*x)+(4*x*exp(1/4*x)+4*x)*ln(5/x^2)^2+4*x^2*ln(5/x^2)),x)","\[\int \frac{8 \ln \left(\frac{5}{x^{2}}\right)^{2} \ln \left(\frac{x}{3}\right)+\left(x \,{\mathrm e}^{\frac{x}{4}}-8\right) \ln \left(\frac{5}{x^{2}}\right)^{2}+4 x \ln \left(\frac{5}{x^{2}}\right)+8 x}{4 x \ln \left(\frac{5}{x^{2}}\right)^{2} \ln \left(\frac{x}{3}\right)^{2}-8 x \ln \left(\frac{5}{x^{2}}\right)^{2} \ln \left(\frac{x}{3}\right)+\left(4 x \,{\mathrm e}^{\frac{x}{4}}+4 x \right) \ln \left(\frac{5}{x^{2}}\right)^{2}+4 x^{2} \ln \left(\frac{5}{x^{2}}\right)}\, dx\]"," ",0,"int((8*ln(5/x^2)^2*ln(1/3*x)+(x*exp(1/4*x)-8)*ln(5/x^2)^2+4*x*ln(5/x^2)+8*x)/(4*x*ln(5/x^2)^2*ln(1/3*x)^2-8*x*ln(5/x^2)^2*ln(1/3*x)+(4*x*exp(1/4*x)+4*x)*ln(5/x^2)^2+4*x^2*ln(5/x^2)),x)","F"
143,1,86,19,0.150000," ","int((((4*x^2-8*x)*ln(2-x)*ln(x/ln(2-x))+(4*x^3-8*x^2)*ln(2-x))*ln(ln(x/ln(2-x))+x)+(2*x^3-2*x^2-4*x)*ln(2-x)-2*x^2)/((x-2)*ln(2-x)*ln(x/ln(2-x))+(x^2-2*x)*ln(2-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2} \ln \left(\ln \left(x \right)-\ln \left(\ln \left(2-x \right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x}{\ln \left(2-x \right)}\right) \left(-\mathrm{csgn}\left(\frac{i x}{\ln \left(2-x \right)}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(\frac{i x}{\ln \left(2-x \right)}\right)+\mathrm{csgn}\left(\frac{i}{\ln \left(2-x \right)}\right)\right)}{2}+x \right)$&$86$\\ \hline \end{longtable}"," ",0,"2*x^2*ln(ln(x)-ln(ln(2-x))-1/2*I*Pi*csgn(I*x/ln(2-x))*(-csgn(I*x/ln(2-x))+csgn(I*x))*(-csgn(I*x/ln(2-x))+csgn(I/ln(2-x)))+x)","C"
144,1,9,12,0.089000," ","int(12*exp(-6/(x-2))^2/(x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{12}{x -2}}$&$9$\\ gosper&${\mathrm e}^{-\frac{12}{x -2}}$&$11$\\ derivativedivides&${\mathrm e}^{-\frac{12}{x -2}}$&$11$\\ default&${\mathrm e}^{-\frac{12}{x -2}}$&$11$\\ norman&$\frac{x \,{\mathrm e}^{-\frac{12}{x -2}}-2 \,{\mathrm e}^{-\frac{12}{x -2}}}{x -2}$&$32$\\ \hline \end{longtable}"," ",0,"exp(-12/(x-2))","A"
145,1,21,20,0.105000," ","int((2*x+2)*ln(2)*exp(x)*exp(x*ln(2)*exp(x))^2+(8*x+8)*ln(2)*exp(x)*exp(x*ln(2)*exp(x))+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +2^{2 \,{\mathrm e}^{x} x}+8 \,2^{{\mathrm e}^{x} x}$&$21$\\ default&$2 x +{\mathrm e}^{2 x \ln \left(2\right) {\mathrm e}^{x}}+8 \,{\mathrm e}^{x \ln \left(2\right) {\mathrm e}^{x}}$&$23$\\ norman&$2 x +{\mathrm e}^{2 x \ln \left(2\right) {\mathrm e}^{x}}+8 \,{\mathrm e}^{x \ln \left(2\right) {\mathrm e}^{x}}$&$23$\\ \hline \end{longtable}"," ",0,"2*x+(2^(exp(x)*x))^2+8*2^(exp(x)*x)","A"
146,1,18,18,0.035000," ","int(-exp(((-4*ln(3)^2+5)*ln(x)+5)/(4*ln(3)^2-5))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{\frac{5}{4 \ln \left(3\right)^{2}-5}}}{x}$&$18$\\ risch&$\frac{{\mathrm e}^{\frac{5}{4 \ln \left(3\right)^{2}-5}}}{x}$&$18$\\ gosper&${\mathrm e}^{-\frac{4 \ln \left(3\right)^{2} \ln \left(x \right)-5 \ln \left(x \right)-5}{4 \ln \left(3\right)^{2}-5}}$&$28$\\ derivativedivides&$-\frac{{\mathrm e}^{\frac{\left(-4 \ln \left(3\right)^{2}+5\right) \ln \left(x \right)+5}{4 \ln \left(3\right)^{2}-5}} \left(4 \ln \left(3\right)^{2}-5\right)}{-4 \ln \left(3\right)^{2}+5}$&$46$\\ default&$-\frac{{\mathrm e}^{\frac{\left(-4 \ln \left(3\right)^{2}+5\right) \ln \left(x \right)+5}{4 \ln \left(3\right)^{2}-5}} \left(4 \ln \left(3\right)^{2}-5\right)}{-4 \ln \left(3\right)^{2}+5}$&$46$\\ \hline \end{longtable}"," ",0,"exp(1/(4*ln(3)^2-5))^5/x","A"
147,1,24,24,0.190000," ","int(((-3*x^2+9*x)*ln((3*x-9)*exp(x)/x^2)-x^4+4*x^3-4*x^2+9*x+18)/(x^4-x^3-5*x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 \ln \left(\frac{\left(3 x -9\right) {\mathrm e}^{x}}{x^{2}}\right)}{x +1}-x$&$24$\\ norman&$\frac{-x^{2}+3 \ln \left(\frac{\left(3 x -9\right) {\mathrm e}^{x}}{x^{2}}\right)+1}{x +1}$&$28$\\ risch&$\frac{3 \ln \left({\mathrm e}^{x}\right)}{x +1}+\frac{-6 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-3 i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x -3\right) {\mathrm e}^{x}}{x^{2}}\right)+3 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-3 i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x -3\right)\right)^{3}+3 i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right) {\mathrm e}^{x}}{x^{2}}\right)^{2}+3 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+3 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x} \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x -3\right) {\mathrm e}^{x}}{x^{2}}\right)^{2}-3 i \pi  \,\mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x -3\right)\right)+3 i \pi  \,\mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x -3\right)\right)^{2}+3 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x -3\right)\right)^{2}-3 i \pi  \mathrm{csgn}\left(\frac{i \left(x -3\right) {\mathrm e}^{x}}{x^{2}}\right)^{3}-2 x^{2}+6 \ln \left(3\right)-2 x -12 \ln \left(x \right)+6 \ln \left(x -3\right)}{2 x +2}$&$277$\\ \hline \end{longtable}"," ",0,"3*ln((3*x-9)*exp(x)/x^2)/(x+1)-x","A"
148,1,68,50,0.070000," ","int((-22500*x^3*exp(-ln(x)+2)^4+(22500*x^3*exp(5)*ln(x)-90000*x^3*exp(5))*exp(-ln(x)+2)^3+(-900*x*ln(x)^2+67500*x^3*exp(5)^2*ln(x)-135000*x^3*exp(5)^2)*exp(-ln(x)+2)^2+(900*x*exp(5)*ln(x)^3-1800*x*exp(5)*ln(x)^2+67500*x^3*exp(5)^3*ln(x)-90000*x^3*exp(5)^3)*exp(-ln(x)+2)+ln(x)^5+900*x*exp(5)^2*ln(x)^3-900*x*exp(5)^2*ln(x)^2+22500*x^3*exp(5)^4*ln(x)-22500*x^3*exp(5)^4)/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{225 \,{\mathrm e}^{4} \left(25 x^{4} {\mathrm e}^{16}+100 \,{\mathrm e}^{13} x^{3}+150 \,{\mathrm e}^{10} x^{2}+2 \,{\mathrm e}^{6} x^{2} \ln \left(x \right)^{2}+100 x \,{\mathrm e}^{7}+4 \,{\mathrm e}^{3} x \ln \left(x \right)^{2}+25 \,{\mathrm e}^{4}+2 \ln \left(x \right)^{2}\right)}{\ln \left(x \right)^{4}}$&$68$\\ default&$x +\frac{22500 \,{\mathrm e}^{6} {\mathrm e}^{5} x}{\ln \left(x \right)^{4}}+\frac{33750 \,{\mathrm e}^{4} {\mathrm e}^{10} x^{2}}{\ln \left(x \right)^{4}}+\frac{450 \,{\mathrm e}^{4}}{\ln \left(x \right)^{2}}+\frac{900 \,{\mathrm e}^{2} {\mathrm e}^{5} x}{\ln \left(x \right)^{2}}+\frac{22500 \,{\mathrm e}^{2} x^{3} {\mathrm e}^{15}}{\ln \left(x \right)^{4}}+\frac{450 \,{\mathrm e}^{10} x^{2}}{\ln \left(x \right)^{2}}+\frac{5625 \,{\mathrm e}^{20} x^{4}}{\ln \left(x \right)^{4}}+\frac{5625 \,{\mathrm e}^{8}}{\ln \left(x \right)^{4}}$&$93$\\ \hline \end{longtable}"," ",0,"x+225*exp(4)*(25*x^4*exp(16)+100*exp(13)*x^3+150*exp(10)*x^2+2*exp(6)*x^2*ln(x)^2+100*x*exp(7)+4*exp(3)*x*ln(x)^2+25*exp(4)+2*ln(x)^2)/ln(x)^4","A"
149,1,20,19,0.091000," ","int((-18*ln(3)-18)*exp(9/exp(5)^2/ln(exp(5)+x)^2)/(exp(5)^3+x*exp(5)^2)/ln(exp(5)+x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\ln \left(3\right)+1\right) {\mathrm e}^{\frac{9 \,{\mathrm e}^{-10}}{\ln \left({\mathrm e}^{5}+x \right)^{2}}}$&$20$\\ risch&${\mathrm e}^{\frac{9 \,{\mathrm e}^{-10}}{\ln \left({\mathrm e}^{5}+x \right)^{2}}} \ln \left(3\right)+{\mathrm e}^{\frac{9 \,{\mathrm e}^{-10}}{\ln \left({\mathrm e}^{5}+x \right)^{2}}}$&$29$\\ \hline \end{longtable}"," ",0,"(ln(3)+1)*exp(9/exp(5)^2/ln(exp(5)+x)^2)","A"
150,1,35,31,0.301000," ","int((50*exp(1)^3+(-150*x+450)*exp(1)^2+(100*x^2-900*x+1350)*exp(1)-50*x^3+300*x^2-1350*x+1350)/(exp(1)^3+(-3*x+9)*exp(1)^2+(3*x^2-18*x+27)*exp(1)-x^3+9*x^2-27*x+27)/exp(x^2/(4*exp(1)^2+(-8*x+24)*exp(1)+4*x^2-24*x+36))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$50 x \,{\mathrm e}^{-\frac{x^{2}}{2 \left(-2 x \,{\mathrm e}+x^{2}+{\mathrm e}^{2}+6 \,{\mathrm e}-6 x +9\right)}}$&$35$\\ risch&$50 x \,{\mathrm e}^{\frac{x^{2}}{4 x \,{\mathrm e}-2 x^{2}-2 \,{\mathrm e}^{2}-12 \,{\mathrm e}+12 x -18}}$&$35$\\ norman&$\frac{\left(\left(-100 \,{\mathrm e}-300\right) x^{2}+\left(50 \,{\mathrm e}^{2}+300 \,{\mathrm e}+450\right) x +50 x^{3}\right) {\mathrm e}^{-\frac{2 x^{2}}{4 \,{\mathrm e}^{2}+\left(-8 x +24\right) {\mathrm e}+4 x^{2}-24 x +36}}}{\left(3-x +{\mathrm e}\right)^{2}}$&$74$\\ \hline \end{longtable}"," ",0,"50*x/exp(1/4*x^2/(exp(1)^2-2*x*exp(1)+x^2+6*exp(1)-6*x+9))^2","A"
151,1,33,27,0.070000," ","int(1/4*((-2*x^4+8*x^3-28*x^2+48*x-50)*ln(x)+5*x^4-16*x^3+42*x^2-48*x+25)/ln(3)/exp(ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{4}-4 x^{3}+14 x^{2}-24 x +25\right) x \,{\mathrm e}^{-\ln \left(x \right)^{2}}}{4 \ln \left(3\right)}$&$33$\\ norman&$\left(\frac{25 x}{4 \ln \left(3\right)}-\frac{6 x^{2}}{\ln \left(3\right)}+\frac{7 x^{3}}{2 \ln \left(3\right)}-\frac{x^{4}}{\ln \left(3\right)}+\frac{x^{5}}{4 \ln \left(3\right)}\right) {\mathrm e}^{-\ln \left(x \right)^{2}}$&$53$\\ \hline \end{longtable}"," ",0,"1/4/ln(3)*(x^4-4*x^3+14*x^2-24*x+25)*x*exp(-ln(x)^2)","A"
152,1,27,31,0.038000," ","int((24*x^2*ln(x)-16*x^3*exp(2)-8*x^4+88*x^3-8*x^2)*exp(2*x^3/(2*ln(x)-2*exp(2)*x-2*x^2+11*x))^2/(4*ln(x)^2+(-8*exp(2)*x-8*x^2+44*x)*ln(x)+4*x^2*exp(2)^2+(8*x^3-44*x^2)*exp(2)+4*x^4-44*x^3+121*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{4 x^{3}}{2 \,{\mathrm e}^{2} x +2 x^{2}-2 \ln \left(x \right)-11 x}}$&$27$\\ \hline \end{longtable}"," ",0,"exp(-4*x^3/(2*exp(2)*x+2*x^2-2*ln(x)-11*x))","A"
153,1,37,23,0.221000," ","int(((6*x^7-60*x^6-30*x^5)*exp(1)*ln(-x^2+10*x+5)^2+((4*x^7-20*x^6)*exp(1)+12*x^4-120*x^3-60*x^2)*ln(-x^2+10*x+5)+8*x^4-40*x^3)/(x^2-10*x-5)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{6} \ln \left(-x^{2}+10 x +5\right)^{2}+4 \,{\mathrm e}^{-1} x^{3} \ln \left(-x^{2}+10 x +5\right)$&$37$\\ norman&$x^{6} \ln \left(-x^{2}+10 x +5\right)^{2}+4 \,{\mathrm e}^{-1} x^{3} \ln \left(-x^{2}+10 x +5\right)$&$39$\\ \hline \end{longtable}"," ",0,"x^6*ln(-x^2+10*x+5)^2+4*exp(-1)*x^3*ln(-x^2+10*x+5)","A"
154,1,26,25,0.120000," ","int(((2*x^4-x^2-2*x)*exp(x)+2*(2*x^3-x^2-x-1)*ln(2)-4*x^4+2*x^3+4*x)*exp(x^2+x)/(x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(2 \ln \left(2\right)-2 x +{\mathrm e}^{x} x \right) {\mathrm e}^{\left(x +1\right) x} x}{x -1}$&$26$\\ norman&$\frac{{\mathrm e}^{x} x^{2} {\mathrm e}^{x^{2}+x}-2 x^{2} {\mathrm e}^{x^{2}+x}+2 x \ln \left(2\right) {\mathrm e}^{x^{2}+x}}{x -1}$&$42$\\ \hline \end{longtable}"," ",0,"(2*ln(2)-2*x+exp(x)*x)*exp((x+1)*x)*x/(x-1)","A"
155,1,24,21,0.075000," ","int(((x-2)*exp(5+x)+(1-x)*exp(x)+1)/(5*exp(5+x)^2-10*x*exp(5+x)+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{1}{5}+\left(\frac{1}{5}-\frac{{\mathrm e}^{5}}{5}\right) {\mathrm e}^{x}}{{\mathrm e}^{5} {\mathrm e}^{x}-x}$&$24$\\ risch&$-\frac{\left(x \,{\mathrm e}^{5}-{\mathrm e}^{5}-x \right) {\mathrm e}^{-5}}{5 \left({\mathrm e}^{5+x}-x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"(1/5+(1/5-1/5*exp(5))*exp(x))/(exp(5)*exp(x)-x)","A"
156,1,32,31,0.095000," ","int((2916*ln(ln(12))^2+23328*ln(ln(12))-2916*x^2-29160*x+10602576)/(ln(ln(12))^4+(-4*x-4)*ln(ln(12))^3+(6*x^2-1446*x+6)*ln(ln(12))^2+(-4*x^3+2904*x^2+2904*x-4)*ln(ln(12))+x^4-1454*x^3+528531*x^2-1454*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2916 x +14580}{\ln \left(\ln \left(12\right)\right)^{2}-2 x \ln \left(\ln \left(12\right)\right)+x^{2}-2 \ln \left(\ln \left(12\right)\right)-727 x +1}$&$32$\\ default&$\frac{2916 x +14580}{\ln \left(\ln \left(12\right)\right)^{2}-2 x \ln \left(\ln \left(12\right)\right)+x^{2}-2 \ln \left(\ln \left(12\right)\right)-727 x +1}$&$32$\\ norman&$\frac{2916 x +14580}{\ln \left(\ln \left(12\right)\right)^{2}-2 x \ln \left(\ln \left(12\right)\right)+x^{2}-2 \ln \left(\ln \left(12\right)\right)-727 x +1}$&$33$\\ risch&$\frac{2916 x +14580}{\ln \left(\ln \left(3\right)+2 \ln \left(2\right)\right)^{2}-2 x \ln \left(\ln \left(3\right)+2 \ln \left(2\right)\right)+x^{2}-2 \ln \left(\ln \left(3\right)+2 \ln \left(2\right)\right)-727 x +1}$&$48$\\ \hline \end{longtable}"," ",0,"2916*(5+x)/(ln(ln(12))^2-2*x*ln(ln(12))+x^2-2*ln(ln(12))-727*x+1)","A"
157,1,666,29,0.559000," ","int((((2*x^3+3*x^2)*exp(x)^2+(2*x^4+8*x^3)*exp(x)-2*ln(2)+5*x^4+2*x-4)*ln(x)*ln(ln(x))+((-exp(x)^2*x^3-2*exp(x)*x^4+2*x*ln(2)-x^5-x^2+4*x)*ln(x)+exp(x)^2*x^2+2*exp(x)*x^3-2*ln(2)+x^4+x-4)*ln(exp(x)^2*x^3+2*exp(x)*x^4-2*x*ln(2)+x^5+x^2-4*x)+((-2*x^4+7*x^3+15*x^2)*exp(x)^2+(-2*x^5+2*x^4+40*x^3)*exp(x)+2*(x-5)*ln(2)-5*x^5+25*x^4-2*x^2+14*x-20)*ln(x))/(exp(x)^2*x^3+2*exp(x)*x^4-2*x*ln(2)+x^5+x^2-4*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\ln \left(\ln \left(x \right)\right)-x \right) \ln \left(-\frac{x^{4}}{2}-{\mathrm e}^{x} x^{3}-\frac{{\mathrm e}^{2 x} x^{2}}{2}+\ln \left(2\right)-\frac{x}{2}+2\right)+\ln \left(x \right) \ln \left(\ln \left(x \right)\right)-x \ln \left(x \right)+\frac{i \pi  x \mathrm{csgn}\left(i \left(\frac{x^{4}}{2}+{\mathrm e}^{x} x^{3}+\frac{{\mathrm e}^{2 x} x^{2}}{2}-\ln \left(2\right)+\frac{x}{2}-2\right) x \right)^{3}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(\frac{x^{4}}{2}+{\mathrm e}^{x} x^{3}+\frac{{\mathrm e}^{2 x} x^{2}}{2}-\ln \left(2\right)+\frac{x}{2}-2\right)\right) \mathrm{csgn}\left(i \left(\frac{x^{4}}{2}+{\mathrm e}^{x} x^{3}+\frac{{\mathrm e}^{2 x} x^{2}}{2}-\ln \left(2\right)+\frac{x}{2}-2\right) x \right)^{2}}{2}-\frac{i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(i \left(\frac{x^{4}}{2}+{\mathrm e}^{x} x^{3}+\frac{{\mathrm e}^{2 x} x^{2}}{2}-\ln \left(2\right)+\frac{x}{2}-2\right) x \right)^{3}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\frac{x^{4}}{2}+{\mathrm e}^{x} x^{3}+\frac{{\mathrm e}^{2 x} x^{2}}{2}-\ln \left(2\right)+\frac{x}{2}-2\right) x \right)^{2}}{2}-i \pi  x -\frac{i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(i \left(\frac{x^{4}}{2}+{\mathrm e}^{x} x^{3}+\frac{{\mathrm e}^{2 x} x^{2}}{2}-\ln \left(2\right)+\frac{x}{2}-2\right)\right) \mathrm{csgn}\left(i \left(\frac{x^{4}}{2}+{\mathrm e}^{x} x^{3}+\frac{{\mathrm e}^{2 x} x^{2}}{2}-\ln \left(2\right)+\frac{x}{2}-2\right) x \right)^{2}}{2}+\frac{i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\frac{x^{4}}{2}+{\mathrm e}^{x} x^{3}+\frac{{\mathrm e}^{2 x} x^{2}}{2}-\ln \left(2\right)+\frac{x}{2}-2\right) x \right)^{2}}{2}-\frac{i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\frac{x^{4}}{2}+{\mathrm e}^{x} x^{3}+\frac{{\mathrm e}^{2 x} x^{2}}{2}-\ln \left(2\right)+\frac{x}{2}-2\right)\right) \mathrm{csgn}\left(i \left(\frac{x^{4}}{2}+{\mathrm e}^{x} x^{3}+\frac{{\mathrm e}^{2 x} x^{2}}{2}-\ln \left(2\right)+\frac{x}{2}-2\right) x \right)}{2}+i \pi  \ln \left(\ln \left(x \right)\right)+15 \ln \left(x \right)+5 \ln \left({\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x -\frac{-x^{4}+2 \ln \left(2\right)-x +4}{x^{2}}\right)-i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(i \left(\frac{x^{4}}{2}+{\mathrm e}^{x} x^{3}+\frac{{\mathrm e}^{2 x} x^{2}}{2}-\ln \left(2\right)+\frac{x}{2}-2\right) x \right)^{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\frac{x^{4}}{2}+{\mathrm e}^{x} x^{3}+\frac{{\mathrm e}^{2 x} x^{2}}{2}-\ln \left(2\right)+\frac{x}{2}-2\right)\right) \mathrm{csgn}\left(i \left(\frac{x^{4}}{2}+{\mathrm e}^{x} x^{3}+\frac{{\mathrm e}^{2 x} x^{2}}{2}-\ln \left(2\right)+\frac{x}{2}-2\right) x \right)}{2}+i \pi  x \mathrm{csgn}\left(i \left(\frac{x^{4}}{2}+{\mathrm e}^{x} x^{3}+\frac{{\mathrm e}^{2 x} x^{2}}{2}-\ln \left(2\right)+\frac{x}{2}-2\right) x \right)^{2}$&$666$\\ \hline \end{longtable}"," ",0,"(ln(ln(x))-x)*ln(-1/2*x^4-exp(x)*x^3-1/2*exp(2*x)*x^2+ln(2)-1/2*x+2)+ln(x)*ln(ln(x))-x*ln(x)+1/2*I*Pi*x*csgn(I*(1/2*x^4+exp(x)*x^3+1/2*exp(2*x)*x^2-ln(2)+1/2*x-2)*x)^3+1/2*I*Pi*x*csgn(I*(1/2*x^4+exp(x)*x^3+1/2*exp(2*x)*x^2-ln(2)+1/2*x-2))*csgn(I*(1/2*x^4+exp(x)*x^3+1/2*exp(2*x)*x^2-ln(2)+1/2*x-2)*x)^2-1/2*I*Pi*ln(ln(x))*csgn(I*(1/2*x^4+exp(x)*x^3+1/2*exp(2*x)*x^2-ln(2)+1/2*x-2)*x)^3-1/2*I*Pi*x*csgn(I*x)*csgn(I*(1/2*x^4+exp(x)*x^3+1/2*exp(2*x)*x^2-ln(2)+1/2*x-2)*x)^2-I*Pi*x-1/2*I*Pi*ln(ln(x))*csgn(I*(1/2*x^4+exp(x)*x^3+1/2*exp(2*x)*x^2-ln(2)+1/2*x-2))*csgn(I*(1/2*x^4+exp(x)*x^3+1/2*exp(2*x)*x^2-ln(2)+1/2*x-2)*x)^2+1/2*I*Pi*ln(ln(x))*csgn(I*x)*csgn(I*(1/2*x^4+exp(x)*x^3+1/2*exp(2*x)*x^2-ln(2)+1/2*x-2)*x)^2-1/2*I*Pi*ln(ln(x))*csgn(I*x)*csgn(I*(1/2*x^4+exp(x)*x^3+1/2*exp(2*x)*x^2-ln(2)+1/2*x-2))*csgn(I*(1/2*x^4+exp(x)*x^3+1/2*exp(2*x)*x^2-ln(2)+1/2*x-2)*x)+I*Pi*ln(ln(x))+15*ln(x)+5*ln(exp(2*x)+2*exp(x)*x-(-x^4+2*ln(2)-x+4)/x^2)-I*Pi*ln(ln(x))*csgn(I*(1/2*x^4+exp(x)*x^3+1/2*exp(2*x)*x^2-ln(2)+1/2*x-2)*x)^2+1/2*I*Pi*x*csgn(I*x)*csgn(I*(1/2*x^4+exp(x)*x^3+1/2*exp(2*x)*x^2-ln(2)+1/2*x-2))*csgn(I*(1/2*x^4+exp(x)*x^3+1/2*exp(2*x)*x^2-ln(2)+1/2*x-2)*x)+I*Pi*x*csgn(I*(1/2*x^4+exp(x)*x^3+1/2*exp(2*x)*x^2-ln(2)+1/2*x-2)*x)^2","C"
158,1,22,18,0.031000," ","int((((2*x^2-2*x)*exp(4)+2*x^3+8*x^2-8*x)*exp(x)+2*x^3-12)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{6}{x^{2}}+\frac{2 \left(x +4+{\mathrm e}^{4}\right) {\mathrm e}^{x}}{x}$&$22$\\ norman&$\frac{6+\left(2 \,{\mathrm e}^{4}+8\right) x \,{\mathrm e}^{x}+2 x^{3}+2 \,{\mathrm e}^{x} x^{2}}{x^{2}}$&$29$\\ default&$2 x +\frac{6}{x^{2}}+\frac{8 \,{\mathrm e}^{x}}{x}-2 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{x}}{x}-\expIntegralEi \left(1, -x \right)\right)-2 \,{\mathrm e}^{4} \expIntegralEi \left(1, -x \right)+2 \,{\mathrm e}^{x}$&$49$\\ \hline \end{longtable}"," ",0,"2*x+6/x^2+2*(x+4+exp(4))/x*exp(x)","A"
159,1,28,29,0.141000," ","int(((-16*x^3-24*x^2+24)*exp(1)-40*x^4+240*x^3-120*x^2)*ln(2)/((x^2+2*x+1)*exp(1)^2+(10*x^3-20*x^2-30*x)*exp(1)+25*x^4-150*x^3+225*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{8 x \left(x^{2}-3\right) \ln \left(2\right)}{x \,{\mathrm e}+5 x^{2}+{\mathrm e}-15 x}$&$28$\\ norman&$\frac{24 x \ln \left(2\right)-8 x^{3} \ln \left(2\right)}{x \,{\mathrm e}+5 x^{2}+{\mathrm e}-15 x}$&$32$\\ risch&$-\frac{8 x \ln \left(2\right)}{5}+\frac{\ln \left(2\right) \left(\frac{\left(-\frac{8 \,{\mathrm e}^{2}}{5}+56 \,{\mathrm e}-240\right) x}{5}-\frac{8 \,{\mathrm e}^{2}}{25}+\frac{24 \,{\mathrm e}}{5}\right)}{x \,{\mathrm e}+5 x^{2}+{\mathrm e}-15 x}$&$49$\\ default&$\ln \left(2\right) \left(-\frac{8 x}{5}+\frac{4 \left(\munderset{\textit{\_R} =\RootOf \left(25 \textit{\_Z}^{4}+\left(10 \,{\mathrm e}-150\right) \textit{\_Z}^{3}+\left({\mathrm e}^{2}-20 \,{\mathrm e}+225\right) \textit{\_Z}^{2}+\left(2 \,{\mathrm e}^{2}-30 \,{\mathrm e}\right) \textit{\_Z} +{\mathrm e}^{2}\right)}{\sum}\frac{\left(\left({\mathrm e}^{2}-35 \,{\mathrm e}+150\right) \textit{\_R}^{2}+2 \left({\mathrm e}^{2}-15 \,{\mathrm e}\right) \textit{\_R} +{\mathrm e}^{2}+15 \,{\mathrm e}\right) \ln \left(x -\textit{\_R} \right)}{{\mathrm e}^{2} \textit{\_R} +15 \textit{\_R}^{2} {\mathrm e}+50 \textit{\_R}^{3}+{\mathrm e}^{2}-20 \textit{\_R} \,{\mathrm e}-225 \textit{\_R}^{2}-15 \,{\mathrm e}+225 \textit{\_R}}\right)}{5}\right)$&$129$\\ \hline \end{longtable}"," ",0,"-8*x*(x^2-3)*ln(2)/(x*exp(1)+5*x^2+exp(1)-15*x)","A"
160,1,37,29,1.134000," ","int((-16*x^3*ln(2)^2*ln(x^2)^2+2*(-24*x^3-48*x^2+16)*ln(2)*ln(x^2)+2*(-32*x^2+32)*ln(2)-36*x^3-144*x^2+48)*exp((2*(-x^3+x)*ln(2)*ln(x^2)-3*x^3+3*x)/(2*x*ln(2)*ln(x^2)+3*x+8))^2/(4*x^2*ln(2)^2*ln(x^2)^2+2*(6*x^2+16*x)*ln(2)*ln(x^2)+9*x^2+48*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 x \left(x -1\right) \left(x +1\right) \left(2 \ln \left(2\right) \ln \left(x^{2}\right)+3\right)}{2 x \ln \left(2\right) \ln \left(x^{2}\right)+3 x +8}}$&$37$\\ \hline \end{longtable}"," ",0,"exp(-2*x*(x-1)*(x+1)*(2*ln(2)*ln(x^2)+3)/(2*x*ln(2)*ln(x^2)+3*x+8))","A"
161,1,107,20,0.235000," ","int(((4*x^3-4*x^2-16*x)*exp(x^2)^2*ln(x^4-2*x^3-7*x^2+8*x+16)+4*x-2)*exp(exp(x^2)^2)*exp(ln(x^4-2*x^3-7*x^2+8*x+16)*exp(exp(x^2)^2))/(x^2-x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(-i \pi  \mathrm{csgn}\left(i \left(x^{2}-x -4\right)^{2}\right)^{3}+2 i \pi  \mathrm{csgn}\left(i \left(x^{2}-x -4\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(x^{2}-x -4\right)\right)-i \pi  \,\mathrm{csgn}\left(i \left(x^{2}-x -4\right)^{2}\right) \mathrm{csgn}\left(i \left(x^{2}-x -4\right)\right)^{2}+4 \ln \left(x^{2}-x -4\right)\right) {\mathrm e}^{{\mathrm e}^{2 x^{2}}}}{2}}$&$107$\\ \hline \end{longtable}"," ",0,"exp(1/2*(-I*Pi*csgn(I*(x^2-x-4)^2)^3+2*I*Pi*csgn(I*(x^2-x-4)^2)^2*csgn(I*(x^2-x-4))-I*Pi*csgn(I*(x^2-x-4)^2)*csgn(I*(x^2-x-4))^2+4*ln(x^2-x-4))*exp(exp(2*x^2)))","C"
162,1,24,18,0.023000," ","int((2400*x^2+4800*x)*ln(5)*exp(x)+(7200*x^2+3)*ln(5)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +2400 x^{3} \ln \left(5\right)+3 x \ln \left(5\right)+2400 x^{2} \ln \left(5\right) {\mathrm e}^{x}$&$24$\\ risch&$x +2400 x^{3} \ln \left(5\right)+3 x \ln \left(5\right)+2400 x^{2} \ln \left(5\right) {\mathrm e}^{x}$&$24$\\ norman&$\left(3 \ln \left(5\right)+1\right) x +2400 x^{3} \ln \left(5\right)+2400 x^{2} \ln \left(5\right) {\mathrm e}^{x}$&$26$\\ \hline \end{longtable}"," ",0,"x+2400*x^3*ln(5)+3*x*ln(5)+2400*x^2*ln(5)*exp(x)","A"
163,1,15,18,0.055000," ","int((-40*x^2-240*x-100)*exp(x)/(x^4+10*x^3+25*x^2)/exp(3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{20 \,{\mathrm e}^{-2 x}}{x \left(5+x \right)}$&$15$\\ risch&$\frac{20 \,{\mathrm e}^{-2 x}}{x \left(5+x \right)}$&$15$\\ gosper&$\frac{20 \,{\mathrm e}^{x} {\mathrm e}^{-3 x}}{x \left(5+x \right)}$&$19$\\ default&$\frac{4 \,{\mathrm e}^{-2 x} \left(5+2 x \right)}{\left(5+x \right) x}-\frac{8 \,{\mathrm e}^{-2 x}}{5+x}$&$32$\\ \hline \end{longtable}"," ",0,"20/exp(x)^2/x/(5+x)","A"
164,1,127,29,0.035000," ","int(1/25*((400*x^6+900*x^5+450*x^4)*ln(x)^3+((80*x^4+120*x^3)*exp(5)-160*x^6-360*x^5-180*x^4)*ln(x)^2+((-12*x-18)*exp(5)^2+(-56*x^4-144*x^3-90*x^2)*exp(5)+56*x^6+156*x^5+108*x^4)*ln(x)+(-8*x^2-24*x-18)*exp(5)^2+(16*x^4+48*x^3+36*x^2)*exp(5)-8*x^6-24*x^5-18*x^4)/x^3/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{4}+12 x^{3}+9 x^{2}+\frac{-40 x^{6} \ln \left(x \right)+40 \ln \left(x \right) {\mathrm e}^{5} x^{4}+4 x^{6}-120 x^{5} \ln \left(x \right)-8 x^{4} {\mathrm e}^{5}+120 x^{3} {\mathrm e}^{5} \ln \left(x \right)+12 x^{5}-90 x^{4} \ln \left(x \right)+4 \,{\mathrm e}^{10} x^{2}-24 x^{3} {\mathrm e}^{5}+90 x^{2} {\mathrm e}^{5} \ln \left(x \right)+9 x^{4}+12 x \,{\mathrm e}^{10}-18 x^{2} {\mathrm e}^{5}+9 \,{\mathrm e}^{10}}{25 x^{2} \ln \left(x \right)^{2}}$&$127$\\ default&$-\frac{18 x^{2}}{5 \ln \left(x \right)}+4 x^{4}+12 x^{3}+9 x^{2}+\frac{9 x^{2}}{25 \ln \left(x \right)^{2}}-\frac{8 x^{4}}{5 \ln \left(x \right)}-\frac{24 x^{3}}{5 \ln \left(x \right)}+\frac{48 \,{\mathrm e}^{5} \left(-\frac{x}{2 \ln \left(x \right)^{2}}-\frac{x}{2 \ln \left(x \right)}-\frac{\expIntegralEi \left(1, -\ln \left(x \right)\right)}{2}\right)}{25}-\frac{18 \,{\mathrm e}^{10} \left(-\frac{1}{x^{2} \ln \left(x \right)}+2 \expIntegralEi \left(1, 2 \ln \left(x \right)\right)\right)}{25}-\frac{16 \,{\mathrm e}^{5} \expIntegralEi \left(1, -2 \ln \left(x \right)\right)}{5}-\frac{24 \,{\mathrm e}^{5} \expIntegralEi \left(1, -\ln \left(x \right)\right)}{5}-\frac{56 \,{\mathrm e}^{5} \left(-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)}{25}-\frac{18 \,{\mathrm e}^{10} \left(-\frac{1}{2 x^{2} \ln \left(x \right)^{2}}+\frac{1}{x^{2} \ln \left(x \right)}-2 \expIntegralEi \left(1, 2 \ln \left(x \right)\right)\right)}{25}+\frac{16 \,{\mathrm e}^{5} \left(-\frac{x^{2}}{2 \ln \left(x \right)^{2}}-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)}{25}+\frac{4 \,{\mathrm e}^{10}}{25 \ln \left(x \right)^{2}}-\frac{24 \,{\mathrm e}^{10} \left(-\frac{1}{2 x \ln \left(x \right)^{2}}+\frac{1}{2 x \ln \left(x \right)}-\frac{\expIntegralEi \left(1, \ln \left(x \right)\right)}{2}\right)}{25}-\frac{144 \,{\mathrm e}^{5} \left(-\frac{x}{\ln \left(x \right)}-\expIntegralEi \left(1, -\ln \left(x \right)\right)\right)}{25}-\frac{12 \,{\mathrm e}^{10} \left(-\frac{1}{x \ln \left(x \right)}+\expIntegralEi \left(1, \ln \left(x \right)\right)\right)}{25}+\frac{4 x^{4}}{25 \ln \left(x \right)^{2}}+\frac{12 x^{3}}{25 \ln \left(x \right)^{2}}-\frac{18 \,{\mathrm e}^{5}}{25 \ln \left(x \right)^{2}}+\frac{18 \,{\mathrm e}^{5}}{5 \ln \left(x \right)}$&$324$\\ \hline \end{longtable}"," ",0,"4*x^4+12*x^3+9*x^2+1/25*(-40*x^6*ln(x)+40*ln(x)*exp(5)*x^4+4*x^6-120*x^5*ln(x)-8*x^4*exp(5)+120*x^3*exp(5)*ln(x)+12*x^5-90*x^4*ln(x)+4*exp(10)*x^2-24*x^3*exp(5)+90*x^2*exp(5)*ln(x)+9*x^4+12*x*exp(10)-18*x^2*exp(5)+9*exp(10))/x^2/ln(x)^2","B"
165,1,24,17,0.040000," ","int(1/12*(((2*x^2+2*x)*exp(x)+12*x^2+10*x)*ln(x)+2*exp(x)*x+6*x^2+10*x+7)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(6 x^{2}+2 \,{\mathrm e}^{x} x +10 x \right) \ln \left(x \right)}{12}+\frac{7 \ln \left(x \right)}{12}$&$24$\\ default&$\frac{x \,{\mathrm e}^{x} \ln \left(x \right)}{6}+\frac{x^{2} \ln \left(x \right)}{2}+\frac{5 x \ln \left(x \right)}{6}+\frac{7 \ln \left(x \right)}{12}$&$25$\\ norman&$\frac{x \,{\mathrm e}^{x} \ln \left(x \right)}{6}+\frac{x^{2} \ln \left(x \right)}{2}+\frac{5 x \ln \left(x \right)}{6}+\frac{7 \ln \left(x \right)}{12}$&$25$\\ \hline \end{longtable}"," ",0,"1/12*(6*x^2+2*exp(x)*x+10*x)*ln(x)+7/12*ln(x)","A"
166,1,24,26,0.078000," ","int(((-5*x^2-30*x-45)*exp(x)+12*x^4+40*x^3-79*x^2-258*x-15)/(5*x^2+30*x+45),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{12}{3+x}+x -\frac{16 x^{2}}{5}+\frac{4 x^{3}}{5}-{\mathrm e}^{x}$&$24$\\ risch&$\frac{12}{3+x}+x -\frac{16 x^{2}}{5}+\frac{4 x^{3}}{5}-{\mathrm e}^{x}$&$24$\\ norman&$\frac{-\frac{43 x^{2}}{5}-\frac{4 x^{3}}{5}+\frac{4 x^{4}}{5}-{\mathrm e}^{x} x -3 \,{\mathrm e}^{x}+3}{3+x}$&$33$\\ \hline \end{longtable}"," ",0,"12/(3+x)+x-16/5*x^2+4/5*x^3-exp(x)","A"
167,1,27,26,0.773000," ","int(((11250*x^6-22500*x^5-5375*x^4+800*x^2+1600*x)*exp(x)*exp(25*x^2*exp(x)/(450*x^4-215*x^2+32))-202500*x^8+193500*x^6-75025*x^4+13760*x^2-1024)/(202500*x^8-193500*x^6+75025*x^4-13760*x^2+1024),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{\frac{25 x^{2} {\mathrm e}^{x}}{450 x^{4}-215 x^{2}+32}}$&$27$\\ norman&$\frac{-32 x +215 x^{3}-450 x^{5}-215 x^{2} {\mathrm e}^{\frac{25 x^{2} {\mathrm e}^{x}}{450 x^{4}-215 x^{2}+32}}+450 x^{4} {\mathrm e}^{\frac{25 x^{2} {\mathrm e}^{x}}{450 x^{4}-215 x^{2}+32}}+32 \,{\mathrm e}^{\frac{25 x^{2} {\mathrm e}^{x}}{450 x^{4}-215 x^{2}+32}}}{450 x^{4}-215 x^{2}+32}$&$108$\\ \hline \end{longtable}"," ",0,"-x+exp(25*x^2*exp(x)/(450*x^4-215*x^2+32))","A"
168,0,0,26,0.041000," ","int((2*x*ln(4*x)*ln(ln(4*x)/exp(x)/x^2)+(2*x+4)*ln(4*x)-2)*ln(-ln(ln(ln(4*x)/exp(x)/x^2))+x-2)/(x*ln(4*x)*ln(ln(4*x)/exp(x)/x^2)*ln(ln(ln(4*x)/exp(x)/x^2))+(-x^2+2*x)*ln(4*x)*ln(ln(4*x)/exp(x)/x^2)),x)","\[\int \frac{\left(2 x \ln \left(4 x \right) \ln \left(\frac{\ln \left(4 x \right) {\mathrm e}^{-x}}{x^{2}}\right)+\left(2 x +4\right) \ln \left(4 x \right)-2\right) \ln \left(-\ln \left(\ln \left(\frac{\ln \left(4 x \right) {\mathrm e}^{-x}}{x^{2}}\right)\right)+x -2\right)}{x \ln \left(4 x \right) \ln \left(\frac{\ln \left(4 x \right) {\mathrm e}^{-x}}{x^{2}}\right) \ln \left(\ln \left(\frac{\ln \left(4 x \right) {\mathrm e}^{-x}}{x^{2}}\right)\right)+\left(-x^{2}+2 x \right) \ln \left(4 x \right) \ln \left(\frac{\ln \left(4 x \right) {\mathrm e}^{-x}}{x^{2}}\right)}\, dx\]"," ",0,"int((2*x*ln(4*x)*ln(ln(4*x)/exp(x)/x^2)+(2*x+4)*ln(4*x)-2)*ln(-ln(ln(ln(4*x)/exp(x)/x^2))+x-2)/(x*ln(4*x)*ln(ln(4*x)/exp(x)/x^2)*ln(ln(ln(4*x)/exp(x)/x^2))+(-x^2+2*x)*ln(4*x)*ln(ln(4*x)/exp(x)/x^2)),x)","F"
169,1,45,29,0.064000," ","int((10*x^7+40*x^6-84*x^5+112*x^4+288*x^3+384*x^2)/((x^3+12*x^2+48*x+64)*ln(3)+2*x^3+24*x^2+96*x+128),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{2 x^{5}-20 x^{4}+132 x^{3}-720 x^{2}+3680 x -\frac{51200}{\left(4+x \right)^{2}}+\frac{84480}{4+x}}{2+\ln \left(3\right)}$&$45$\\ gosper&$\frac{2 x^{3} \left(x^{4}-2 x^{3}+2 x^{2}+8 x +16\right)}{x^{2} \ln \left(3\right)+8 x \ln \left(3\right)+2 x^{2}+16 \ln \left(3\right)+16 x +32}$&$51$\\ norman&$\frac{\frac{32 x^{3}}{2+\ln \left(3\right)}+\frac{16 x^{4}}{2+\ln \left(3\right)}+\frac{4 x^{5}}{2+\ln \left(3\right)}-\frac{4 x^{6}}{2+\ln \left(3\right)}+\frac{2 x^{7}}{2+\ln \left(3\right)}}{\left(4+x \right)^{2}}$&$63$\\ risch&$\frac{2 x^{5}}{2+\ln \left(3\right)}-\frac{20 x^{4}}{2+\ln \left(3\right)}+\frac{132 x^{3}}{2+\ln \left(3\right)}-\frac{720 x^{2}}{2+\ln \left(3\right)}+\frac{3680 x}{2+\ln \left(3\right)}+\frac{\left(84480 \ln \left(3\right)+168960\right) x +286720 \ln \left(3\right)+573440}{\left(2+\ln \left(3\right)\right) \left(x^{2} \ln \left(3\right)+8 x \ln \left(3\right)+2 x^{2}+16 \ln \left(3\right)+16 x +32\right)}$&$103$\\ \hline \end{longtable}"," ",0,"2/(2+ln(3))*(x^5-10*x^4+66*x^3-360*x^2+1840*x-25600/(4+x)^2+42240/(4+x))","A"
170,1,109,15,0.051000," ","int(6568408355712890625/295147905179352825856*x^15*ln(1/4*x^2)^8+164210208892822265625/295147905179352825856*x^15*ln(1/4*x^2)^7+1793175481109619140625/295147905179352825856*x^15*ln(1/4*x^2)^6+11172862613067626953125/295147905179352825856*x^15*ln(1/4*x^2)^5+43450021273040771484375/295147905179352825856*x^15*ln(1/4*x^2)^4+108004338592987060546875/295147905179352825856*x^15*ln(1/4*x^2)^3+167592939196014404296875/295147905179352825856*x^15*ln(1/4*x^2)^2+148439460430755615234375/295147905179352825856*x^15*ln(1/4*x^2)+14365109073944091796875/73786976294838206464*x^15,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6568408355712890625 x^{16} \ln \left(\frac{x^{2}}{4}\right)^{8}}{4722366482869645213696}+\frac{19705225067138671875 x^{16} \ln \left(\frac{x^{2}}{4}\right)^{7}}{590295810358705651712}+\frac{413809726409912109375 x^{16} \ln \left(\frac{x^{2}}{4}\right)^{6}}{1180591620717411303424}+\frac{1241429179229736328125 x^{16} \ln \left(\frac{x^{2}}{4}\right)^{5}}{590295810358705651712}+\frac{18621437688446044921875 x^{16} \ln \left(\frac{x^{2}}{4}\right)^{4}}{2361183241434822606848}+\frac{11172862613067626953125 x^{16} \ln \left(\frac{x^{2}}{4}\right)^{3}}{590295810358705651712}+\frac{33518587839202880859375 x^{16} \ln \left(\frac{x^{2}}{4}\right)^{2}}{1180591620717411303424}+\frac{14365109073944091796875 x^{16} \ln \left(\frac{x^{2}}{4}\right)}{590295810358705651712}+\frac{43095327221832275390625 x^{16}}{4722366482869645213696}$&$109$\\ \hline \end{longtable}"," ",0,"6568408355712890625/4722366482869645213696*x^16*ln(1/4*x^2)^8+19705225067138671875/590295810358705651712*x^16*ln(1/4*x^2)^7+413809726409912109375/1180591620717411303424*x^16*ln(1/4*x^2)^6+1241429179229736328125/590295810358705651712*x^16*ln(1/4*x^2)^5+18621437688446044921875/2361183241434822606848*x^16*ln(1/4*x^2)^4+11172862613067626953125/590295810358705651712*x^16*ln(1/4*x^2)^3+33518587839202880859375/1180591620717411303424*x^16*ln(1/4*x^2)^2+14365109073944091796875/590295810358705651712*x^16*ln(1/4*x^2)+43095327221832275390625/4722366482869645213696*x^16","B"
171,1,18,17,0.147000," ","int((384*exp(4)-80*x^2-165*x-30)/(384*exp(4)-80*x^2-5*x-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\ln \left(-384 \,{\mathrm e}^{4}+80 x^{2}+5 x +25\right)$&$18$\\ norman&$x +\ln \left(384 \,{\mathrm e}^{4}-80 x^{2}-5 x -25\right)$&$18$\\ risch&$x +\ln \left(-384 \,{\mathrm e}^{4}+80 x^{2}+5 x +25\right)$&$18$\\ \hline \end{longtable}"," ",0,"x+ln(-384*exp(4)+80*x^2+5*x+25)","A"
172,1,9,13,0.034000," ","int(-2400*exp((-20*x^6+400)/x^6)/x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{\frac{400}{x^{6}}-20}$&$9$\\ default&${\mathrm e}^{\frac{400}{x^{6}}-20}$&$9$\\ gosper&${\mathrm e}^{-\frac{20 \left(x^{6}-20\right)}{x^{6}}}$&$12$\\ risch&${\mathrm e}^{-\frac{20 \left(x^{6}-20\right)}{x^{6}}}$&$12$\\ norman&${\mathrm e}^{\frac{-20 x^{6}+400}{x^{6}}}$&$13$\\ meijerg&$-{\mathrm e}^{-20} \left(1-{\mathrm e}^{\frac{400}{x^{6}}}\right)$&$15$\\ \hline \end{longtable}"," ",0,"exp(400/x^6-20)","A"
173,1,21,24,0.059000," ","int(((-8*x+8)*exp(1)^2*exp((4*x^2-8*x+4)/(x^2-4*x+4))+x^3-6*x^2+12*x-8)/(x^3-6*x^2+12*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x -2+{\mathrm e}^{\frac{4}{\left(x -2\right)^{2}}+\frac{8}{x -2}+6}$&$21$\\ default&$x -2+{\mathrm e}^{\frac{4}{\left(x -2\right)^{2}}+\frac{8}{x -2}+6}$&$21$\\ risch&${\mathrm e}^{\frac{6 x^{2}-16 x +12}{\left(x -2\right)^{2}}}+x$&$21$\\ norman&$\frac{x^{3}-12 x +x^{2} {\mathrm e}^{2} {\mathrm e}^{\frac{4 x^{2}-8 x +4}{x^{2}-4 x +4}}+4 \,{\mathrm e}^{2} {\mathrm e}^{\frac{4 x^{2}-8 x +4}{x^{2}-4 x +4}}-4 x \,{\mathrm e}^{2} {\mathrm e}^{\frac{4 x^{2}-8 x +4}{x^{2}-4 x +4}}+16}{\left(x -2\right)^{2}}$&$102$\\ \hline \end{longtable}"," ",0,"x-2+exp(4/(x-2)^2+8/(x-2)+6)","A"
174,1,26,25,0.063000," ","int((x^2*ln(x)*ln(ln(x))+(exp(x)*x-1)*ln(x)*exp(exp(x))+((1-x)*exp(x)-x^2)*ln(x)+x^2)*exp((x^2*ln(ln(x))+exp(exp(x))-exp(x)-x^2-2*x)/x)/x^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{x} {\mathrm e}^{-\frac{x^{2}+{\mathrm e}^{x}-{\mathrm e}^{{\mathrm e}^{x}}+2 x}{x}}$&$26$\\ \hline \end{longtable}"," ",0,"ln(x)^x*exp(-(x^2+exp(x)-exp(exp(x))+2*x)/x)","A"
175,1,22,29,0.074000," ","int((-15*x*exp(x)*exp(2*ln(2)+3)-exp(-4*exp(4)+exp(3)+4*x))/x/exp(-4*exp(4)+exp(3)+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+20 \,{\mathrm e}^{4 \,{\mathrm e}^{4}-{\mathrm e}^{3}+3-3 x}$&$22$\\ default&$-\ln \left(x \right)+20 \,{\mathrm e}^{4 \,{\mathrm e}^{4}} {\mathrm e}^{-{\mathrm e}^{3}} {\mathrm e}^{3} {\mathrm e}^{-3 x}$&$24$\\ norman&$-\ln \left(x \right)+20 \,{\mathrm e}^{4 \,{\mathrm e}^{4}} {\mathrm e}^{-{\mathrm e}^{3}} {\mathrm e}^{3} {\mathrm e}^{-3 x}$&$24$\\ meijerg&$15 \,{\mathrm e}^{2 \ln \left(2\right)+3+4 \,{\mathrm e}^{4}-{\mathrm e}^{3}-4 x} \left(1-{\mathrm e}^{x}\right)-{\mathrm e}^{-4 x} \left(-\ln \left(-4 x \right)-\expIntegralEi \left(1, -4 x \right)+\ln \left(x \right)+2 \ln \left(2\right)+i \pi \right)$&$58$\\ \hline \end{longtable}"," ",0,"-ln(x)+20*exp(4*exp(4)-exp(3)+3-3*x)","A"
176,1,24,23,0.034000," ","int(((-2*x-512)*ln(x)^2*exp(4/ln(x))-ln(x)^2-4)*exp(((x^2+512*x+65536)*exp(4/ln(x))+x)/exp(4/ln(x)))*exp(-exp(((x^2+512*x+65536)*exp(4/ln(x))+x)/exp(4/ln(x)))+3)/ln(x)^2/exp(4/ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-{\mathrm e}^{x^{2}+512 x +65536+{\mathrm e}^{-\frac{4}{\ln \left(x \right)}} x}+3}$&$24$\\ \hline \end{longtable}"," ",0,"exp(-exp(x^2+512*x+65536+exp(-4/ln(x))*x)+3)","A"
177,1,114,25,0.203000," ","int(((8*x^4+8*x^3)*exp(x-2)^4+(-48*x^4-64*x^3)*exp(x-2)^3+(96*x^4+192*x^3)*exp(x-2)^2+(-64*x^4-256*x^3)*exp(x-2)+128*x^3)*exp(x^4*exp(x-2)^4-8*x^4*exp(x-2)^3+24*x^4*exp(x-2)^2-32*x^4*exp(x-2)+16*x^4)^2+(((-8*x^4-8*x^3)*ln(2)+128*x^4+128*x^3)*exp(x-2)^4+((48*x^4+64*x^3)*ln(2)-768*x^4-1024*x^3)*exp(x-2)^3+((-96*x^4-192*x^3)*ln(2)+1536*x^4+3072*x^3)*exp(x-2)^2+((64*x^4+256*x^3)*ln(2)-1024*x^4-4096*x^3)*exp(x-2)-128*x^3*ln(2)+2048*x^3)*exp(x^4*exp(x-2)^4-8*x^4*exp(x-2)^3+24*x^4*exp(x-2)^2-32*x^4*exp(x-2)+16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x^{4} \left(-32 \,{\mathrm e}^{x -2}+{\mathrm e}^{4 x -8}-8 \,{\mathrm e}^{3 x -6}+24 \,{\mathrm e}^{2 x -4}+16\right)}-2 \,{\mathrm e}^{x^{4} \left(-32 \,{\mathrm e}^{x -2}+{\mathrm e}^{4 x -8}-8 \,{\mathrm e}^{3 x -6}+24 \,{\mathrm e}^{2 x -4}+16\right)} \ln \left(2\right)+32 \,{\mathrm e}^{x^{4} \left(-32 \,{\mathrm e}^{x -2}+{\mathrm e}^{4 x -8}-8 \,{\mathrm e}^{3 x -6}+24 \,{\mathrm e}^{2 x -4}+16\right)}$&$114$\\ \hline \end{longtable}"," ",0,"exp(2*x^4*(-32*exp(x-2)+exp(4*x-8)-8*exp(3*x-6)+24*exp(2*x-4)+16))-2*exp(x^4*(-32*exp(x-2)+exp(4*x-8)-8*exp(3*x-6)+24*exp(2*x-4)+16))*ln(2)+32*exp(x^4*(-32*exp(x-2)+exp(4*x-8)-8*exp(3*x-6)+24*exp(2*x-4)+16))","B"
178,1,28,22,0.143000," ","int(1/2*((-12*x^2*ln(x)+(-4*x^3-12*x^2)*exp(x)-16*x^2)*exp(2*x^3*ln(x)+2*exp(x)*x^3+2*x^3)-exp(1-1/2*x))*exp(-exp(2*x^3*ln(x)+2*exp(x)*x^3+2*x^3)+exp(1-1/2*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-x^{2 x^{3}} {\mathrm e}^{2 x^{3} \left({\mathrm e}^{x}+1\right)}+{\mathrm e}^{1-\frac{x}{2}}}$&$28$\\ \hline \end{longtable}"," ",0,"exp(-x^(2*x^3)*exp(2*x^3*(exp(x)+1))+exp(1-1/2*x))","A"
179,1,574,20,0.192000," ","int((((4*x^2-2)*ln(x)-4*x^3+2)*ln(1/2*(3*exp(5)*ln(x)-3*x*exp(5))/x)+(4*x^4-2*x^2)*ln(x)-4*x^5+2*x^2)/(x*ln(x)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x^{2} \ln \left(x \right)+2 x^{2} \ln \left(3\right)-10 \ln \left(x \right)+\ln \left(x \right)^{2}+x^{4}+10 x^{2}+2 \ln \left(2\right) \ln \left(x \right)-2 \ln \left(3\right) \ln \left(x \right)-2 x^{2} \ln \left(2\right)-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{x}\right)-i \pi  \ln \left(\ln \left(x \right)-x \right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{x}\right)+i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{x}\right)+\left(2 x^{2}-2 \ln \left(x \right)\right) \ln \left(x -\ln \left(x \right)\right)-2 \ln \left(2\right) \ln \left(\ln \left(x \right)-x \right)+2 \ln \left(3\right) \ln \left(\ln \left(x \right)-x \right)+10 \ln \left(\ln \left(x \right)-x \right)+i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{x}\right)^{3}-2 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{x}\right)^{2}-2 i \pi  \ln \left(\ln \left(x \right)-x \right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{x}\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{x}\right)^{3}-i \pi  \ln \left(\ln \left(x \right)-x \right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{x}\right)^{3}+2 i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{x}\right)^{2}+i \pi  \ln \left(\ln \left(x \right)-x \right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{x}\right)^{2}+2 i \pi  \,x^{2}-2 i \ln \left(x \right) \pi +2 i \pi  \ln \left(\ln \left(x \right)-x \right)+\ln \left(x -\ln \left(x \right)\right)^{2}-i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{x}\right)^{2}+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{x}\right)^{2}+i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{x}\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{x}\right)^{2}-i \pi  \ln \left(\ln \left(x \right)-x \right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{x}\right)^{2}$&$574$\\ \hline \end{longtable}"," ",0,"-2*x^2*ln(x)+2*x^2*ln(3)-10*ln(x)+ln(x)^2+x^4+10*x^2+2*ln(2)*ln(x)-2*ln(3)*ln(x)-2*x^2*ln(2)+I*Pi*ln(ln(x)-x)*csgn(I/x)*csgn(I*(ln(x)-x)/x)^2-I*ln(x)*Pi*csgn(I/x)*csgn(I*(ln(x)-x)/x)^2+I*ln(x)*Pi*csgn(I*(ln(x)-x)/x)^3+I*Pi*x^2*csgn(I/x)*csgn(I*(ln(x)-x)/x)^2+(2*x^2-2*ln(x))*ln(x-ln(x))-2*ln(2)*ln(ln(x)-x)+2*ln(3)*ln(ln(x)-x)+10*ln(ln(x)-x)-2*I*Pi*x^2*csgn(I*(ln(x)-x)/x)^2-2*I*Pi*ln(ln(x)-x)*csgn(I*(ln(x)-x)/x)^2-I*Pi*x^2*csgn(I*(ln(x)-x)/x)^3-I*Pi*ln(ln(x)-x)*csgn(I*(ln(x)-x)/x)^3+2*I*ln(x)*Pi*csgn(I*(ln(x)-x)/x)^2+2*I*Pi*x^2-2*I*ln(x)*Pi+2*I*Pi*ln(ln(x)-x)+I*ln(x)*Pi*csgn(I*(ln(x)-x))*csgn(I*(ln(x)-x)/x)^2-I*Pi*x^2*csgn(I*(ln(x)-x))*csgn(I*(ln(x)-x)/x)^2-I*Pi*ln(ln(x)-x)*csgn(I*(ln(x)-x))*csgn(I*(ln(x)-x)/x)^2+ln(x-ln(x))^2+I*ln(x)*Pi*csgn(I/x)*csgn(I*(ln(x)-x))*csgn(I*(ln(x)-x)/x)-I*Pi*x^2*csgn(I/x)*csgn(I*(ln(x)-x))*csgn(I*(ln(x)-x)/x)-I*Pi*ln(ln(x)-x)*csgn(I/x)*csgn(I*(ln(x)-x))*csgn(I*(ln(x)-x)/x)","C"
180,1,6,11,0.009000," ","int(4*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$2 x^{2}$&$6$\\ default&$2 x^{2}$&$6$\\ norman&$2 x^{2}$&$6$\\ risch&$2 x^{2}$&$6$\\ \hline \end{longtable}"," ",0,"2*x^2","A"
181,1,8,8,0.039000," ","int(-exp(-ln(ln(x))-253)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-253}}{\ln \left(x \right)}$&$8$\\ derivativedivides&${\mathrm e}^{-\ln \left(\ln \left(x \right)\right)-253}$&$9$\\ default&${\mathrm e}^{-\ln \left(\ln \left(x \right)\right)-253}$&$9$\\ norman&$\frac{{\mathrm e}^{-253}}{\ln \left(x \right)}$&$10$\\ \hline \end{longtable}"," ",0,"exp(-253)/ln(x)","A"
182,1,48,27,0.182000," ","int(((576*x^7+576*x^5+144*x^3)*exp(1)^2+(-192*x^8+96*x^7+192*x^6+72*x^5+240*x^4)*exp(1)+16*x^9-12*x^8-32*x^7)/((36*x^4+36*x^2+9)*exp(1)^2+(-12*x^5-6*x^3)*exp(1)+x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 x^{4} \left(6 x^{2} {\mathrm e}-x^{3}+x^{2}+3 \,{\mathrm e}+4 x \right)}{6 x^{2} {\mathrm e}-x^{3}+3 \,{\mathrm e}}$&$48$\\ norman&$\frac{\left(4+24 \,{\mathrm e}\right) x^{6}+16 x^{5}-4 x^{7}+12 x^{4} {\mathrm e}}{6 x^{2} {\mathrm e}-x^{3}+3 \,{\mathrm e}}$&$49$\\ risch&$4 x^{4}-144 \,{\mathrm e}^{2} x -24 x^{2} {\mathrm e}-4 x^{3}-96 x \,{\mathrm e}-16 x^{2}+\frac{\left(864 \,{\mathrm e}^{4}+576 \,{\mathrm e}^{3}+24 \,{\mathrm e}^{2}+8 \,{\mathrm e}\right) x^{2}+\left(72 \,{\mathrm e}^{3}+48 \,{\mathrm e}^{2}\right) x +432 \,{\mathrm e}^{4}+288 \,{\mathrm e}^{3}+6 \,{\mathrm e}^{2}}{x^{2} {\mathrm e}-\frac{x^{3}}{6}+\frac{{\mathrm e}}{2}}$&$98$\\ default&$4 x^{4}-144 \,{\mathrm e}^{2} x -24 x^{2} {\mathrm e}-4 x^{3}-96 x \,{\mathrm e}-16 x^{2}+2 \left(\munderset{\textit{\_R} =\RootOf \left(36 \textit{\_Z}^{4} {\mathrm e}^{2}-12 \textit{\_Z}^{5} {\mathrm e}+\textit{\_Z}^{6}+36 \textit{\_Z}^{2} {\mathrm e}^{2}-6 \textit{\_Z}^{3} {\mathrm e}+9 \,{\mathrm e}^{2}\right)}{\sum}\frac{\left(4 \left(108 \,{\mathrm e}^{4}+72 \,{\mathrm e}^{3}+3 \,{\mathrm e}^{2}+{\mathrm e}\right) \textit{\_R}^{4}+24 \left(3 \,{\mathrm e}^{3}+2 \,{\mathrm e}^{2}\right) \textit{\_R}^{3}+9 \left(48 \,{\mathrm e}^{4}+32 \,{\mathrm e}^{3}+{\mathrm e}^{2}\right) \textit{\_R}^{2}+12 \,{\mathrm e}^{2} \left(3 \,{\mathrm e}+2\right) \textit{\_R} +108 \,{\mathrm e}^{4}+72 \,{\mathrm e} \,{\mathrm e}^{2}\right) \ln \left(x -\textit{\_R} \right)}{24 \textit{\_R}^{3} {\mathrm e}^{2}-10 \textit{\_R}^{4} {\mathrm e}+\textit{\_R}^{5}+12 \,{\mathrm e}^{2} \textit{\_R} -3 \textit{\_R}^{2} {\mathrm e}}\right)$&$196$\\ \hline \end{longtable}"," ",0,"4*x^4*(6*x^2*exp(1)-x^3+x^2+3*exp(1)+4*x)/(6*x^2*exp(1)-x^3+3*exp(1))","A"
183,1,48,25,0.040000," ","int(((4*x^4+2*x^2-8*x)*ln(16/3*x)+4*x^6+2*x^4+7*x^3+16*x-32)*exp((x^2*ln(16/3*x)^2+(2*x^4+8*x)*ln(16/3*x)+x^6+7*x^3-8*x+16)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{16 x}{3}\right)^{2 x^{2}} \left(\frac{16 x}{3}\right)^{\frac{8}{x}} {\mathrm e}^{\frac{x^{6}+x^{2} \ln \left(\frac{16 x}{3}\right)^{2}+7 x^{3}-8 x +16}{x^{2}}}$&$48$\\ \hline \end{longtable}"," ",0,"(16/3*x)^(2*x^2)*(16/3*x)^(8/x)*exp((x^6+x^2*ln(16/3*x)^2+7*x^3-8*x+16)/x^2)","A"
184,1,30,28,0.061000," ","int(((2*x*exp(x)^2+(-2*x^2-2*x)*exp(x)+2*x^2-x)*ln(x)^2+(-4*exp(x)^2*x^2+(4*x^3+4*x^2)*exp(x)-4*x^3+2*x^2-30*x)*ln(x)+2*exp(x)^2*x^3+(-2*x^4-2*x^3)*exp(x)+2*x^4-x^3+90*x-60)/(x*ln(x)^2-2*x^2*ln(x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-2 \,{\mathrm e}^{x} x +{\mathrm e}^{2 x}-x +\frac{30 x -60}{x -\ln \left(x \right)}$&$30$\\ \hline \end{longtable}"," ",0,"x^2-2*exp(x)*x+exp(2*x)-x+30*(x-2)/(x-ln(x))","A"
185,1,30,23,0.064000," ","int((2*(75*x^2+75*x-225)*ln(2)*exp(x)+2*(-120*x^2-270*x-405)*ln(2)-10*x^2-60*x-90)/(6*x^4+36*x^3+54*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{5}{3}+40 \ln \left(2\right)\right) x +25 \,{\mathrm e}^{x} \ln \left(2\right)+5+45 \ln \left(2\right)}{\left(3+x \right) x}$&$30$\\ risch&$\frac{\left(\frac{5}{3}+40 \ln \left(2\right)\right) x +5+45 \ln \left(2\right)}{\left(3+x \right) x}+\frac{25 \ln \left(2\right) {\mathrm e}^{x}}{\left(3+x \right) x}$&$39$\\ default&$\frac{5}{3 x}+\frac{15 \ln \left(2\right)}{x}+\frac{25 \ln \left(2\right)}{3+x}+\frac{25 \ln \left(2\right) {\mathrm e}^{x}}{3 x}-\frac{25 \ln \left(2\right) {\mathrm e}^{x}}{3 \left(3+x \right)}$&$43$\\ \hline \end{longtable}"," ",0,"((5/3+40*ln(2))*x+25*exp(x)*ln(2)+5+45*ln(2))/(3+x)/x","A"
186,1,217,17,0.223000," ","int((-4*x*ln(x^2*ln(3))^10+40*x^2*ln(x^2*ln(3))^9-180*x^3*ln(x^2*ln(3))^8+(480*x^4-8*x+16)*ln(x^2*ln(3))^7+(-840*x^5+56*x^2-112*x)*ln(x^2*ln(3))^6+(1008*x^6-168*x^3+336*x^2)*ln(x^2*ln(3))^5+(-840*x^7+280*x^4-560*x^3)*ln(x^2*ln(3))^4+(480*x^8-280*x^5+560*x^4)*ln(x^2*ln(3))^3+(-180*x^9+168*x^6-336*x^5)*ln(x^2*ln(3))^2+(40*x^10-56*x^7+112*x^6)*ln(x^2*ln(3))-4*x^11+8*x^8-16*x^7)/(x^6*ln(x^2*ln(3))^10-10*x^7*ln(x^2*ln(3))^9+(45*x^8+5*x^5)*ln(x^2*ln(3))^8+(-120*x^9-40*x^6)*ln(x^2*ln(3))^7+(210*x^10+140*x^7+10*x^4)*ln(x^2*ln(3))^6+(-252*x^11-280*x^8-60*x^5)*ln(x^2*ln(3))^5+(210*x^12+350*x^9+150*x^6+10*x^3)*ln(x^2*ln(3))^4+(-120*x^13-280*x^10-200*x^7-40*x^4)*ln(x^2*ln(3))^3+(45*x^14+140*x^11+150*x^8+60*x^5+5*x^2)*ln(x^2*ln(3))^2+(-10*x^15-40*x^12-60*x^9-40*x^6-10*x^3)*ln(x^2*ln(3))+x^16+5*x^13+10*x^10+10*x^7+5*x^4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x^{4}}-\frac{4 x^{9}-24 \ln \left(x^{2} \ln \left(3\right)\right) x^{8}+60 \ln \left(x^{2} \ln \left(3\right)\right)^{2} x^{7}-80 \ln \left(x^{2} \ln \left(3\right)\right)^{3} x^{6}+60 \ln \left(x^{2} \ln \left(3\right)\right)^{4} x^{5}-24 x^{4} \ln \left(x^{2} \ln \left(3\right)\right)^{5}+4 x^{3} \ln \left(x^{2} \ln \left(3\right)\right)^{6}+6 x^{6}-24 x^{5} \ln \left(x^{2} \ln \left(3\right)\right)+36 x^{4} \ln \left(x^{2} \ln \left(3\right)\right)^{2}-24 x^{3} \ln \left(x^{2} \ln \left(3\right)\right)^{3}+6 x^{2} \ln \left(x^{2} \ln \left(3\right)\right)^{4}+4 x^{3}-8 x^{2} \ln \left(x^{2} \ln \left(3\right)\right)+4 x \ln \left(x^{2} \ln \left(3\right)\right)^{2}+1}{x^{4} \left(x \ln \left(x^{2} \ln \left(3\right)\right)^{2}-2 x^{2} \ln \left(x^{2} \ln \left(3\right)\right)+x^{3}+1\right)^{4}}$&$217$\\ \hline \end{longtable}"," ",0,"1/x^4-(4*x^9-24*ln(x^2*ln(3))*x^8+60*ln(x^2*ln(3))^2*x^7-80*ln(x^2*ln(3))^3*x^6+60*ln(x^2*ln(3))^4*x^5-24*x^4*ln(x^2*ln(3))^5+4*x^3*ln(x^2*ln(3))^6+6*x^6-24*x^5*ln(x^2*ln(3))+36*x^4*ln(x^2*ln(3))^2-24*x^3*ln(x^2*ln(3))^3+6*x^2*ln(x^2*ln(3))^4+4*x^3-8*x^2*ln(x^2*ln(3))+4*x*ln(x^2*ln(3))^2+1)/x^4/(x*ln(x^2*ln(3))^2-2*x^2*ln(x^2*ln(3))+x^3+1)^4","B"
187,1,22,24,0.137000," ","int(((((-4*x^2-10*x+6)*ln(3+x)-4*x^2+2*x)*exp(x*ln(3+x))+4*x^2+14*x+6)*exp(-exp(x*ln(3+x))+ln(1-2*x)+x)-6*x^2-15*x+9)/(2*x^2+5*x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \left(1-2 x \right) {\mathrm e}^{-\left(3+x \right)^{x}+x}-3 x$&$22$\\ \hline \end{longtable}"," ",0,"2*(1-2*x)*exp(-(3+x)^x+x)-3*x","A"
188,1,17,16,0.039000," ","int(2*(2-x)*(x^2*exp(2+x))^(1/2)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$4 \sqrt{x^{2} {\mathrm e}^{2+x}}\, {\mathrm e}^{-x}$&$17$\\ risch&$4 \sqrt{x^{2} {\mathrm e}^{2+x}}\, {\mathrm e}^{-x}$&$17$\\ \hline \end{longtable}"," ",0,"4*(x^2*exp(2+x))^(1/2)/exp(x)","A"
189,1,25,24,0.056000," ","int(((3*x^2-6*x+3)*exp(2)-18*x^2+12*x)/(25*x^6-50*x^5+25*x^4)/exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-2} \left(\left(-\frac{{\mathrm e}^{2}}{25}+\frac{6}{25}\right) x +\frac{{\mathrm e}^{2}}{25}\right)}{x^{3} \left(x -1\right)}$&$25$\\ gosper&$-\frac{\left({\mathrm e}^{2} x -{\mathrm e}^{2}-6 x \right) {\mathrm e}^{-2}}{25 x^{3} \left(x -1\right)}$&$27$\\ default&$\frac{{\mathrm e}^{-2} \left(-\frac{{\mathrm e}^{2}}{x^{3}}-\frac{6}{x^{2}}-\frac{6}{x}+\frac{6}{x -1}\right)}{25}$&$32$\\ norman&$\frac{\left(\frac{{\mathrm e}^{-1} {\mathrm e}^{2}}{25}-\frac{\left({\mathrm e}^{2}-6\right) {\mathrm e}^{-1} x}{25}\right) {\mathrm e}^{-1}}{x^{3} \left(x -1\right)}$&$34$\\ \hline \end{longtable}"," ",0,"exp(-2)*((-1/25*exp(2)+6/25)*x+1/25*exp(2))/x^3/(x-1)","A"
190,1,40,26,0.111000," ","int(1/25*(2*x^2*exp(3)^2+(20*x^4+400*x)*exp(3)-150*x^6+15000)/x^4/exp(1/25*(x^2*exp(3)^2+(-10*x^4+100*x)*exp(3)+25*x^6-500*x^3+2500)/x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{\frac{-25 x^{6}+10 x^{4} {\mathrm e}^{3}-x^{2} {\mathrm e}^{6}+500 x^{3}-100 x \,{\mathrm e}^{3}-2500}{25 x^{3}}}$&$40$\\ gosper&$2 \,{\mathrm e}^{-\frac{25 x^{6}-10 x^{4} {\mathrm e}^{3}+x^{2} {\mathrm e}^{6}-500 x^{3}+100 x \,{\mathrm e}^{3}+2500}{25 x^{3}}}$&$43$\\ norman&$2 \,{\mathrm e}^{-\frac{x^{2} {\mathrm e}^{6}+\left(-10 x^{4}+100 x \right) {\mathrm e}^{3}+25 x^{6}-500 x^{3}+2500}{25 x^{3}}}$&$43$\\ \hline \end{longtable}"," ",0,"2*exp(1/25*(-25*x^6+10*x^4*exp(3)-x^2*exp(6)+500*x^3-100*x*exp(3)-2500)/x^3)","A"
191,1,6,7,0.016000," ","int(1/16*exp(x)*exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{{\mathrm e}^{{\mathrm e}^{x}}}{16}$&$6$\\ default&$\frac{{\mathrm e}^{{\mathrm e}^{x}}}{16}$&$6$\\ norman&$\frac{{\mathrm e}^{{\mathrm e}^{x}}}{16}$&$6$\\ risch&$\frac{{\mathrm e}^{{\mathrm e}^{x}}}{16}$&$6$\\ \hline \end{longtable}"," ",0,"1/16*exp(exp(x))","A"
192,1,16,15,0.059000," ","int((2*exp(2*x+1/4)+exp(x))*exp(exp(2*x+1/4)+exp(x))+ln(x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(x \right)+{\mathrm e}^{{\mathrm e}^{2 x +\frac{1}{4}}+{\mathrm e}^{x}}$&$16$\\ risch&$x \ln \left(x \right)+{\mathrm e}^{{\mathrm e}^{2 x +\frac{1}{4}}+{\mathrm e}^{x}}$&$16$\\ norman&$x \ln \left(x \right)+{\mathrm e}^{{\mathrm e}^{\frac{1}{4}} {\mathrm e}^{2 x}+{\mathrm e}^{x}}$&$17$\\ \hline \end{longtable}"," ",0,"x*ln(x)+exp(exp(2*x+1/4)+exp(x))","A"
193,1,13,20,0.032000," ","int(-exp(4)*exp(x+25)*exp(exp(x+25))*exp(exp(exp(x+25)))+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x +25}}} {\mathrm e}^{4}$&$13$\\ norman&$x -{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x +25}}} {\mathrm e}^{4}$&$13$\\ risch&$x -{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x +25}}+4}$&$13$\\ derivativedivides&$\ln \left({\mathrm e}^{x +25}\right)-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x +25}}} {\mathrm e}^{4}$&$17$\\ \hline \end{longtable}"," ",0,"x-exp(exp(exp(x+25)))*exp(4)","A"
194,1,15,17,0.032000," ","int((2*x^2*exp(x^2/ln(2))-4*ln(2))/x/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{x^{2}}{\ln \left(2\right)}}-4 \ln \left(x \right)$&$15$\\ risch&${\mathrm e}^{\frac{x^{2}}{\ln \left(2\right)}}-4 \ln \left(x \right)$&$15$\\ default&$\frac{-4 \ln \left(2\right) \ln \left(x \right)+{\mathrm e}^{\frac{x^{2}}{\ln \left(2\right)}} \ln \left(2\right)}{\ln \left(2\right)}$&$27$\\ \hline \end{longtable}"," ",0,"exp(x^2/ln(2))-4*ln(x)","A"
195,1,24,18,0.202000," ","int((6*ln(3)+6*x-20)/((3*x*ln(3)+2*x^2-10*x)*ln(-3/2*x^2*ln(3)-x^3+5*x^2)*ln(ln(-3/2*x^2*ln(3)-x^3+5*x^2))+(6*x*ln(3)+4*x^2-20*x)*ln(-3/2*x^2*ln(3)-x^3+5*x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(\ln \left(-\frac{3 x^{2} \ln \left(3\right)}{2}-x^{3}+5 x^{2}\right)\right)+2\right)$&$24$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(-3/2*x^2*ln(3)-x^3+5*x^2))+2)","A"
196,1,164,27,1.023000," ","int(((2*x^2+6*x)*exp(x)^2*ln(5/(4*x^2+12*x))+(-4*x-6)*exp(x)^2+(2*x^2+6*x)*exp(3)*exp(x))*exp(exp(x)*ln(5/(4*x^2+12*x))/exp(3))*exp(exp(x)*exp(exp(x)*ln(5/(4*x^2+12*x))/exp(3))-4)^2/(x^2+3*x)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 \,{\mathrm e}^{x -\ln \left(x \right) {\mathrm e}^{x -3}-2 \ln \left(2\right) {\mathrm e}^{x -3}-\ln \left(3+x \right) {\mathrm e}^{x -3}+\ln \left(5\right) {\mathrm e}^{x -3}} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(\frac{i}{x \left(3+x \right)}\right)^{3} {\mathrm e}^{x -3}}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(\frac{i}{x \left(3+x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right) {\mathrm e}^{x -3}}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(\frac{i}{x \left(3+x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{3+x}\right) {\mathrm e}^{x -3}}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x \left(3+x \right)}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{3+x}\right) {\mathrm e}^{x -3}}{2}}-8}$&$164$\\ \hline \end{longtable}"," ",0,"exp(2*exp(x-ln(x)*exp(x-3)-2*ln(2)*exp(x-3)-ln(3+x)*exp(x-3)+ln(5)*exp(x-3))*exp(-1/2*I*Pi*csgn(I/x/(3+x))^3*exp(x-3))*exp(1/2*I*Pi*csgn(I/x/(3+x))^2*csgn(I/x)*exp(x-3))*exp(1/2*I*Pi*csgn(I/x/(3+x))^2*csgn(I/(3+x))*exp(x-3))*exp(-1/2*I*Pi*csgn(I/x/(3+x))*csgn(I/x)*csgn(I/(3+x))*exp(x-3))-8)","C"
197,1,71,26,0.180000," ","int((((-x^3+10*x^2-24*x)*exp(x)-2*x^3+6*x^2+37*x)*ln(x^2)+(2*x-12)*ln(x-6)+(-2*x^2+22*x-60)*exp(x)-2*x^3+54*x+108)/(x^2-6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right) {\mathrm e}^{x}+10 \,{\mathrm e}^{x} \ln \left(x \right)-x \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right) {\mathrm e}^{x}-2 x \,{\mathrm e}^{x} \ln \left(x \right)-18 \ln \left(x \right)-6 x \ln \left(x^{2}\right)-x^{2} \ln \left(x^{2}\right)+\ln \left(x -6\right) \ln \left(x^{2}\right)$&$71$\\ risch&$2 \ln \left(x \right) \ln \left(x -6\right)-2 x^{2} \ln \left(x \right)-2 x \,{\mathrm e}^{x} \ln \left(x \right)-12 x \ln \left(x \right)+10 \,{\mathrm e}^{x} \ln \left(x \right)-\frac{i \pi  \ln \left(\left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-36 i\right) x +6 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-12 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+6 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+216 i\right) \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-\frac{i \pi  \ln \left(\left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-36 i\right) x +6 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-12 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+6 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+216 i\right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}-\frac{5 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}}{2}+5 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}-i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-6 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\frac{5 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}}{2}+\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}-18 \ln \left(-x \right)+3 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+3 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \ln \left(\left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-36 i\right) x +6 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-12 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+6 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+216 i\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}}{2}$&$616$\\ \hline \end{longtable}"," ",0,"5*(ln(x^2)-2*ln(x))*exp(x)+10*exp(x)*ln(x)-x*(ln(x^2)-2*ln(x))*exp(x)-2*x*exp(x)*ln(x)-18*ln(x)-6*x*ln(x^2)-x^2*ln(x^2)+ln(x-6)*ln(x^2)","B"
198,1,17,18,0.077000," ","int((700*x^2+3050*x-275)*exp(x)^2/(196*x^2+140*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{25 \left(4+x \right) {\mathrm e}^{2 x}}{14 x +5}$&$17$\\ risch&$\frac{25 \left(4+x \right) {\mathrm e}^{2 x}}{14 x +5}$&$17$\\ default&$\frac{1275 \,{\mathrm e}^{2 x}}{196 \left(x +\frac{5}{14}\right)}+\frac{25 \,{\mathrm e}^{2 x}}{14}$&$19$\\ norman&$\frac{100 \,{\mathrm e}^{2 x}+25 x \,{\mathrm e}^{2 x}}{14 x +5}$&$23$\\ \hline \end{longtable}"," ",0,"25*(4+x)*exp(x)^2/(14*x+5)","A"
199,1,24,17,0.079000," ","int(((2*x+2)*exp(6)*exp(x)+(-12*x^2+8*x)*exp(6))*exp(2*x*exp(6)*exp(x)+(-4*x^3+4*x^2)*exp(6)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{2 x \,{\mathrm e}^{6} {\mathrm e}^{x}+\left(-4 x^{3}+4 x^{2}\right) {\mathrm e}^{6}}$&$24$\\ risch&${\mathrm e}^{-2 x \left(2 x^{2} {\mathrm e}^{6}-2 x \,{\mathrm e}^{6}-{\mathrm e}^{x +6}\right)}$&$24$\\ \hline \end{longtable}"," ",0,"exp(2*x*exp(6)*exp(x)+(-4*x^3+4*x^2)*exp(6))","A"
200,1,16,19,0.096000," ","int(((2*x^2+8*x)*ln(5)*exp(x+1)*ln(x)+(2*x+10)*ln(5)*exp(x+1))/(x^3+10*x^2+25*x)/exp(10)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(5\right) \ln \left(x \right) {\mathrm e}^{x -19}}{5+x}$&$16$\\ norman&$\frac{2 \ln \left(x \right) {\mathrm e}^{x +1} {\mathrm e}^{-20} \ln \left(5\right)}{5+x}$&$20$\\ \hline \end{longtable}"," ",0,"2*ln(5)/(5+x)*ln(x)*exp(x-19)","A"
201,1,7,12,0.016000," ","int(exp(x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x}-x$&$7$\\ norman&${\mathrm e}^{x}-x$&$7$\\ risch&${\mathrm e}^{x}-x$&$7$\\ derivativedivides&${\mathrm e}^{x}-\ln \left({\mathrm e}^{x}\right)$&$9$\\ \hline \end{longtable}"," ",0,"exp(x)-x","A"
202,1,24,18,0.060000," ","int(((x^4+256*x^3+160*x^2+25*x)*exp(x)+2*x^3-320*x-100)/(x^4+256*x^3+160*x^2+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{x}-4 \ln \left(x \right)+2 \ln \left(x^{3}+256 x^{2}+160 x +25\right)$&$24$\\ risch&${\mathrm e}^{x}-4 \ln \left(x \right)+2 \ln \left(x^{3}+256 x^{2}+160 x +25\right)$&$24$\\ default&${\mathrm e}^{x}+\left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}+256 \textit{\_Z}^{2}+160 \textit{\_Z} +25\right)}{\sum}\frac{\left(256 \textit{\_R1}^{2}+160 \textit{\_R1} +25\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{3 \textit{\_R1}^{2}+512 \textit{\_R1} +160}\right)-4 \ln \left(x \right)-4 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+256 \textit{\_Z}^{2}+160 \textit{\_Z} +25\right)}{\sum}\frac{\left(-\textit{\_R}^{2}-256 \textit{\_R} -160\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}+512 \textit{\_R} +160}\right)-320 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+256 \textit{\_Z}^{2}+160 \textit{\_Z} +25\right)}{\sum}\frac{\ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}+512 \textit{\_R} +160}\right)+2 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+256 \textit{\_Z}^{2}+160 \textit{\_Z} +25\right)}{\sum}\frac{\textit{\_R}^{2} \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}+512 \textit{\_R} +160}\right)-25 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}+256 \textit{\_Z}^{2}+160 \textit{\_Z} +25\right)}{\sum}\frac{{\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{3 \textit{\_R1}^{2}+512 \textit{\_R1} +160}\right)-160 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}+256 \textit{\_Z}^{2}+160 \textit{\_Z} +25\right)}{\sum}\frac{\textit{\_R1} \,{\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{3 \textit{\_R1}^{2}+512 \textit{\_R1} +160}\right)-256 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}+256 \textit{\_Z}^{2}+160 \textit{\_Z} +25\right)}{\sum}\frac{\textit{\_R1}^{2} {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{3 \textit{\_R1}^{2}+512 \textit{\_R1} +160}\right)$&$311$\\ \hline \end{longtable}"," ",0,"exp(x)-4*ln(x)+2*ln(x^3+256*x^2+160*x+25)","A"
203,1,21,23,0.036000," ","int(((-4*x-4)*ln(x)^2+(7*x+7)*ln(x)-3*x-4)/(5*x^2*exp(x)*ln(x)^2-10*x^2*exp(x)*ln(x)+5*exp(x)*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-\frac{3}{5}+\frac{4 \ln \left(x \right)}{5}\right) {\mathrm e}^{-x}}{x \left(\ln \left(x \right)-1\right)}$&$21$\\ risch&$\frac{4 \,{\mathrm e}^{-x}}{5 x}+\frac{{\mathrm e}^{-x}}{5 x \left(\ln \left(x \right)-1\right)}$&$26$\\ \hline \end{longtable}"," ",0,"(-3/5+4/5*ln(x))/exp(x)/x/(ln(x)-1)","A"
204,1,35,27,0.065000," ","int(((-x^5+3*x^4+2*x^3-2*x^2+4*x+4)*exp(5)+x^3+3*x^2)/((x^5-2*x^3-4*x)*exp(5)-x^3-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\ln \left(x \right)+\ln \left(-x^{4} {\mathrm e}^{5}+\left(2 \,{\mathrm e}^{5}+1\right) x^{2}+4 x +4 \,{\mathrm e}^{5}\right)$&$35$\\ default&$-x +\ln \left(x^{4} {\mathrm e}^{5}-2 x^{2} {\mathrm e}^{5}-x^{2}-4 \,{\mathrm e}^{5}-4 x \right)-\ln \left(x \right)$&$36$\\ norman&$-x +\ln \left(x^{4} {\mathrm e}^{5}-2 x^{2} {\mathrm e}^{5}-x^{2}-4 \,{\mathrm e}^{5}-4 x \right)-\ln \left(x \right)$&$36$\\ \hline \end{longtable}"," ",0,"-x-ln(x)+ln(-x^4*exp(5)+(2*exp(5)+1)*x^2+4*x+4*exp(5))","A"
205,1,59,21,0.067000," ","int(((6*x^5-67470*x^4-134940*x^3-67440*x^2+30*x+6)*ln(x)-33750*x^5+379586250*x^4-101250*x^3-33750*x^2)/(x^6+5*x^5+10*x^4+10*x^3+5*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{569531250}{\left(x +1\right)^{2}}+\frac{94921875}{\left(x +1\right)^{4}}-\frac{379687500}{x +1}-\frac{379687500}{\left(x +1\right)^{3}}+3 \ln \left(x \right)^{2}+\frac{33750 \ln \left(x \right) x \left(2+x \right)}{\left(x +1\right)^{2}}-\frac{67500 \ln \left(x \right) x}{x +1}$&$59$\\ norman&$\frac{5625 \ln \left(x \right)+94921875 x^{4}-45000 x^{3} \ln \left(x \right)-28125 x^{4} \ln \left(x \right)+22500 x \ln \left(x \right)+3 \ln \left(x \right)^{2}+12 x \ln \left(x \right)^{2}+18 x^{2} \ln \left(x \right)^{2}+12 x^{3} \ln \left(x \right)^{2}+3 x^{4} \ln \left(x \right)^{2}}{\left(x +1\right)^{4}}-5625 \ln \left(x \right)$&$81$\\ risch&$3 \ln \left(x \right)^{2}+\frac{33750 \left(2 x +1\right) \ln \left(x \right)}{x^{2}+2 x +1}-\frac{16875 \left(2 x^{4} \ln \left(x \right)+8 x^{3} \ln \left(x \right)+12 x^{2} \ln \left(x \right)+22500 x^{3}+8 x \ln \left(x \right)+33750 x^{2}+2 \ln \left(x \right)+22500 x +5625\right)}{\left(x^{2}+2 x +1\right)^{2}}$&$84$\\ \hline \end{longtable}"," ",0,"569531250/(x+1)^2+94921875/(x+1)^4-379687500/(x+1)-379687500/(x+1)^3+3*ln(x)^2+33750*ln(x)*x*(2+x)/(x+1)^2-67500*ln(x)*x/(x+1)","B"
206,1,13,12,0.120000," ","int(-15*exp(1)^2/(62*x^2*exp(1)^2-620*x*exp(1)+1550),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{15 \,{\mathrm e}}{62 \left(x \,{\mathrm e}-5\right)}$&$13$\\ risch&$\frac{15 \,{\mathrm e}}{62 \left(x \,{\mathrm e}-5\right)}$&$13$\\ meijerg&$-\frac{3 \,{\mathrm e}^{2} x}{310 \left(1-\frac{x \,{\mathrm e}}{5}\right)}$&$15$\\ norman&$\frac{3 \,{\mathrm e}^{2} x}{62 \left(x \,{\mathrm e}-5\right)}$&$16$\\ \hline \end{longtable}"," ",0,"15/62*exp(1)/(x*exp(1)-5)","A"
207,1,82,26,0.058000," ","int(((2*ln(5)+2*x)*ln(x)^3+((-384*x^2-1600*x-1152)*ln(5)-512*x^3-2400*x^2-2304*x)*ln(x)^2+((128*x^2+800*x+1152)*ln(5)+24576*x^5+256000*x^4+935040*x^3+1383200*x^2+664704*x)*ln(x)-8192*x^5-102400*x^4-467456*x^3-921600*x^2-663552*x)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \ln \left(5\right)+x^{2}-\frac{32 x \left(-128 x^{5}+4 x^{2} \ln \left(5\right) \ln \left(x \right)-1600 x^{4}+4 x^{3} \ln \left(x \right)+25 x \ln \left(5\right) \ln \left(x \right)-7304 x^{3}+25 x^{2} \ln \left(x \right)+36 \ln \left(5\right) \ln \left(x \right)-14400 x^{2}+36 x \ln \left(x \right)-10368 x \right)}{\ln \left(x \right)^{2}}$&$82$\\ norman&$\frac{x^{2} \ln \left(x \right)^{2}+\left(-1152-800 \ln \left(5\right)\right) x^{2} \ln \left(x \right)+\left(-800-128 \ln \left(5\right)\right) x^{3} \ln \left(x \right)+331776 x^{2}+460800 x^{3}+233728 x^{4}+51200 x^{5}+4096 x^{6}-128 x^{4} \ln \left(x \right)-1152 x \ln \left(5\right) \ln \left(x \right)+2 \ln \left(x \right)^{2} \ln \left(5\right) x}{\ln \left(x \right)^{2}}$&$87$\\ default&$-\frac{1152 x^{2}}{\ln \left(x \right)}+x^{2}+\frac{331776 x^{2}}{\ln \left(x \right)^{2}}-\frac{128 x^{4}}{\ln \left(x \right)}+2 x \ln \left(5\right)-\frac{800 x^{3}}{\ln \left(x \right)}+1152 \ln \left(5\right) \left(-\frac{x}{\ln \left(x \right)}-\expIntegralEi \left(1, -\ln \left(x \right)\right)\right)+800 \ln \left(5\right) \left(-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)+1152 \ln \left(5\right) \expIntegralEi \left(1, -\ln \left(x \right)\right)+128 \ln \left(5\right) \left(-\frac{x^{3}}{\ln \left(x \right)}-3 \expIntegralEi \left(1, -3 \ln \left(x \right)\right)\right)+1600 \ln \left(5\right) \expIntegralEi \left(1, -2 \ln \left(x \right)\right)+\frac{4096 x^{6}}{\ln \left(x \right)^{2}}+384 \ln \left(5\right) \expIntegralEi \left(1, -3 \ln \left(x \right)\right)+\frac{51200 x^{5}}{\ln \left(x \right)^{2}}+\frac{233728 x^{4}}{\ln \left(x \right)^{2}}+\frac{460800 x^{3}}{\ln \left(x \right)^{2}}$&$176$\\ \hline \end{longtable}"," ",0,"2*x*ln(5)+x^2-32*x*(-128*x^5+4*x^2*ln(5)*ln(x)-1600*x^4+4*x^3*ln(x)+25*x*ln(5)*ln(x)-7304*x^3+25*x^2*ln(x)+36*ln(5)*ln(x)-14400*x^2+36*x*ln(x)-10368*x)/ln(x)^2","B"
208,1,13,21,0.101000," ","int((-2*x^3+6*x^2-128)/(x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x^{3}-128}{x -2}$&$13$\\ norman&$\frac{-x^{3}+128}{x -2}$&$14$\\ default&$-x^{2}-2 x +\frac{120}{x -2}$&$17$\\ risch&$-x^{2}-2 x +\frac{120}{x -2}$&$17$\\ meijerg&$-\frac{32 x}{1-\frac{x}{2}}-\frac{x \left(-\frac{1}{2} x^{2}-3 x +12\right)}{1-\frac{x}{2}}+\frac{2 x \left(-\frac{3 x}{2}+6\right)}{1-\frac{x}{2}}$&$47$\\ \hline \end{longtable}"," ",0,"-(x^3-128)/(x-2)","A"
209,1,24,25,0.100000," ","int(((x^4+42*x^3+439*x^2-84*x-882)*exp(3)*exp(exp(1)+1/4*x^2)-2*x^2*exp(3))/(2*x^4+84*x^3+882*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{3}}{x +21}+\frac{{\mathrm e}^{3+{\mathrm e}+\frac{x^{2}}{4}}}{x}$&$24$\\ default&$\frac{{\mathrm e}^{3+{\mathrm e}} {\mathrm e}^{\frac{x^{2}}{4}}}{x}+\frac{{\mathrm e}^{3}}{x +21}$&$25$\\ norman&$\frac{x \,{\mathrm e}^{3}+x \,{\mathrm e}^{3} {\mathrm e}^{{\mathrm e}+\frac{x^{2}}{4}}+21 \,{\mathrm e}^{3} {\mathrm e}^{{\mathrm e}+\frac{x^{2}}{4}}}{x \left(x +21\right)}$&$41$\\ \hline \end{longtable}"," ",0,"exp(3)/(x+21)+1/x*exp(3+exp(1)+1/4*x^2)","A"
210,1,24,19,0.028000," ","int((-6*x^2+15)/(56*x^4+62*x^3+297*x^2+155*x+350),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(28 x^{2}+17 x +70\right)-\ln \left(2 x^{2}+x +5\right)$&$24$\\ norman&$\ln \left(28 x^{2}+17 x +70\right)-\ln \left(2 x^{2}+x +5\right)$&$24$\\ risch&$\ln \left(28 x^{2}+17 x +70\right)-\ln \left(2 x^{2}+x +5\right)$&$24$\\ \hline \end{longtable}"," ",0,"ln(28*x^2+17*x+70)-ln(2*x^2+x+5)","A"
211,1,37,23,0.046000," ","int((((exp(2)^2+8*exp(2)+16)*ln(x)+(-x+4)*exp(2)^2+(-8*x+32)*exp(2)-16*x+64)*ln(ln(x)-x+4)^2+(-3*ln(x)+3*x-12)*ln(ln(x)-x+4)-3*x+3)/(((x*exp(2)^2+8*exp(2)*x+16*x)*ln(x)+(-x^2+4*x)*exp(2)^2+(-8*x^2+32*x)*exp(2)-16*x^2+64*x)*ln(ln(x)-x+4)^2+(-3*x*ln(x)+3*x^2-12*x)*ln(ln(x)-x+4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-\ln \left(\ln \left(\ln \left(x \right)-x +4\right)\right)+\ln \left(\ln \left(\ln \left(x \right)-x +4\right)-\frac{3}{{\mathrm e}^{4}+8 \,{\mathrm e}^{2}+16}\right)$&$37$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(ln(ln(x)-x+4))+ln(ln(ln(x)-x+4)-3/(exp(4)+8*exp(2)+16))","A"
212,1,21,22,0.047000," ","int((2*x^3*ln(x)+(-2*x+2)*exp(1)^2-2*x^4-x^3+x^2-10*x+10)/(x^3*ln(x)-x*exp(1)^2-x^4-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\ln \left(\ln \left(x \right)-\frac{x^{3}+{\mathrm e}^{2}+5}{x^{2}}\right)$&$21$\\ norman&$-2 \ln \left(x \right)+2 x +\ln \left(x^{3}-x^{2} \ln \left(x \right)+{\mathrm e}^{2}+5\right)$&$26$\\ \hline \end{longtable}"," ",0,"2*x+ln(ln(x)-(x^3+exp(2)+5)/x^2)","A"
213,1,20,19,0.039000," ","int((-9*x*ln(x)^2+(9*x^2+117*x-117)*exp(x)*ln(x)+(-9*x-117)*exp(x))/x^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 \,{\mathrm e}^{x} \left(x +13\right)}{\ln \left(x \right) x}-9 \ln \left(x \right)$&$20$\\ default&$\frac{9 \,{\mathrm e}^{x} x +117 \,{\mathrm e}^{x}}{\ln \left(x \right) x}-9 \ln \left(x \right)$&$24$\\ norman&$\frac{9 \,{\mathrm e}^{x} x +117 \,{\mathrm e}^{x}}{\ln \left(x \right) x}-9 \ln \left(x \right)$&$24$\\ \hline \end{longtable}"," ",0,"9*exp(x)*(x+13)/ln(x)/x-9*ln(x)","A"
214,1,29,27,0.117000," ","int(((-12*exp(2)*x-24*x^2)*ln(exp(2)+2*x)+((20*x+60)*exp(2)+40*x^2+120*x)*exp(x^2+6*x+9)-6*exp(2)-12*x^2-12*x)*exp(-x^2*ln(exp(2)+2*x)+5/3*exp(x^2+6*x+9)-x)^2/(3*exp(2)+6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{2}+2 x \right)^{-2 x^{2}} {\mathrm e}^{\frac{10 \,{\mathrm e}^{\left(3+x \right)^{2}}}{3}-2 x}$&$29$\\ \hline \end{longtable}"," ",0,"((exp(2)+2*x)^(-x^2))^2*exp(10/3*exp((3+x)^2)-2*x)","A"
215,1,22,21,0.058000," ","int((x^2*ln(x)^2-15*x*ln(x)-15*exp(3)+15*x)*exp(1/2*(x^2*ln(x)+30*exp(3)-30*x)/ln(x))/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{x^{2} \ln \left(x \right)+30 \,{\mathrm e}^{3}-30 x}{2 \ln \left(x \right)}}$&$22$\\ risch&${\mathrm e}^{\frac{x^{2} \ln \left(x \right)+30 \,{\mathrm e}^{3}-30 x}{2 \ln \left(x \right)}}$&$22$\\ \hline \end{longtable}"," ",0,"exp(1/2*(x^2*ln(x)+30*exp(3)-30*x)/ln(x))","A"
216,1,12,14,0.075000," ","int(-4/(3*x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(3 x -4\right)+\ln \left(x \right)$&$12$\\ norman&$-\ln \left(3 x -4\right)+\ln \left(x \right)$&$12$\\ risch&$-\ln \left(3 x -4\right)+\ln \left(x \right)$&$12$\\ meijerg&$-\ln \left(1-\frac{3 x}{4}\right)+\ln \left(x \right)+\ln \left(3\right)-2 \ln \left(2\right)+i \pi$&$22$\\ \hline \end{longtable}"," ",0,"-ln(3*x-4)+ln(x)","A"
217,1,14,26,0.028000," ","int(4*ln(4*exp(9))+2*exp(x)^2-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{2 x}+\left(8 \ln \left(2\right)+35\right) x$&$14$\\ risch&${\mathrm e}^{2 x}+8 x \ln \left(2\right)+35 x$&$14$\\ default&${\mathrm e}^{2 x}-x +4 \ln \left(4 \,{\mathrm e}^{9}\right) x$&$17$\\ derivativedivides&${\mathrm e}^{2 x}+\left(4 \ln \left(4 \,{\mathrm e}^{9}\right)-1\right) \ln \left({\mathrm e}^{x}\right)$&$19$\\ \hline \end{longtable}"," ",0,"exp(x)^2+(8*ln(2)+35)*x","A"
218,1,20,25,0.146000," ","int((((-x^2-x+3)*exp(x)+2*x+1)*exp(exp(x))+(-2*x-1)*exp(1)+10*x+5)/(exp(exp(x))^2+(-2*exp(1)+10)*exp(exp(x))+exp(1)^2-10*exp(1)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}+x -3}{-{\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}-5}$&$20$\\ norman&$\frac{-x^{2}-x +3}{-{\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}-5}$&$23$\\ \hline \end{longtable}"," ",0,"-(x^2+x-3)/(-exp(exp(x))+exp(1)-5)","A"
219,1,21,20,0.029000," ","int(1/10*(-5*exp(2)-12*x^3-x^2-5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{3 x^{2}}{5}-\frac{x}{10}-\frac{-5-5 \,{\mathrm e}^{2}}{10 x}$&$21$\\ norman&$\frac{-\frac{x^{2}}{10}-\frac{3 x^{3}}{5}+\frac{{\mathrm e}^{2}}{2}+\frac{1}{2}}{x}$&$21$\\ gosper&$\frac{-6 x^{3}-x^{2}+5 \,{\mathrm e}^{2}+5}{10 x}$&$22$\\ risch&$-\frac{3 x^{2}}{5}-\frac{x}{10}+\frac{{\mathrm e}^{2}}{2 x}+\frac{1}{2 x}$&$22$\\ \hline \end{longtable}"," ",0,"-3/5*x^2-1/10*x-1/10*(-5-5*exp(2))/x","A"
220,1,281,25,1.376000," ","int((((8*exp(x)^2*x^2+(16*x^2-32*x)*exp(x))*exp(4*exp(x))*ln((-exp(x)*x+4-2*x)/x)+2*exp(x)*x^2+8)*ln(ln((-exp(x)*x+4-2*x)/x))+((8*exp(x)^2*x^2+(16*x^2-32*x)*exp(x))*exp(4*exp(x))^2+exp(x)*x+2*x-4)*ln((-exp(x)*x+4-2*x)/x)+(2*exp(x)*x^2+8)*exp(4*exp(x)))*exp(ln(ln((-exp(x)*x+4-2*x)/x))^2+2*exp(4*exp(x))*ln(ln((-exp(x)*x+4-2*x)/x))+exp(4*exp(x))^2+ln(x))/(exp(x)*x^2+2*x^2-4*x)/ln((-exp(x)*x+4-2*x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(i \pi -\ln \left(x \right)+\ln \left(-4+\left({\mathrm e}^{x}+2\right) x \right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(-4+\left({\mathrm e}^{x}+2\right) x \right)}{x}\right) \left(-\mathrm{csgn}\left(\frac{i \left(-4+\left({\mathrm e}^{x}+2\right) x \right)}{x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(-4+\left({\mathrm e}^{x}+2\right) x \right)}{x}\right)+\mathrm{csgn}\left(i \left(-4+\left({\mathrm e}^{x}+2\right) x \right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(-4+\left({\mathrm e}^{x}+2\right) x \right)}{x}\right)^{2} \left(\mathrm{csgn}\left(\frac{i \left(-4+\left({\mathrm e}^{x}+2\right) x \right)}{x}\right)-1\right)\right)^{2 \,{\mathrm e}^{4 \,{\mathrm e}^{x}}} x \,{\mathrm e}^{\ln \left(i \pi -\ln \left(x \right)+\ln \left(-4+\left({\mathrm e}^{x}+2\right) x \right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(-4+\left({\mathrm e}^{x}+2\right) x \right)}{x}\right) \left(-\mathrm{csgn}\left(\frac{i \left(-4+\left({\mathrm e}^{x}+2\right) x \right)}{x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(-4+\left({\mathrm e}^{x}+2\right) x \right)}{x}\right)+\mathrm{csgn}\left(i \left(-4+\left({\mathrm e}^{x}+2\right) x \right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(-4+\left({\mathrm e}^{x}+2\right) x \right)}{x}\right)^{2} \left(\mathrm{csgn}\left(\frac{i \left(-4+\left({\mathrm e}^{x}+2\right) x \right)}{x}\right)-1\right)\right)^{2}+{\mathrm e}^{8 \,{\mathrm e}^{x}}}$&$281$\\ \hline \end{longtable}"," ",0,"(I*Pi-ln(x)+ln(-4+(exp(x)+2)*x)-1/2*I*Pi*csgn(I/x*(-4+(exp(x)+2)*x))*(-csgn(I/x*(-4+(exp(x)+2)*x))+csgn(I/x))*(-csgn(I/x*(-4+(exp(x)+2)*x))+csgn(I*(-4+(exp(x)+2)*x)))+I*Pi*csgn(I/x*(-4+(exp(x)+2)*x))^2*(csgn(I/x*(-4+(exp(x)+2)*x))-1))^(2*exp(4*exp(x)))*x*exp(ln(I*Pi-ln(x)+ln(-4+(exp(x)+2)*x)-1/2*I*Pi*csgn(I/x*(-4+(exp(x)+2)*x))*(-csgn(I/x*(-4+(exp(x)+2)*x))+csgn(I/x))*(-csgn(I/x*(-4+(exp(x)+2)*x))+csgn(I*(-4+(exp(x)+2)*x)))+I*Pi*csgn(I/x*(-4+(exp(x)+2)*x))^2*(csgn(I/x*(-4+(exp(x)+2)*x))-1))^2+exp(8*exp(x)))","C"
221,1,57,26,0.047000," ","int(((72*x^3+36*x)*ln(x^2-x+1)+(72*x^3+36*x)*exp(4)+144*x^4+18*x^3+36*x^2+36*x-18)*exp(ln(x^2-x+1)^2+(2*exp(4)+4*x)*ln(x^2-x+1)+exp(4)^2+4*x*exp(4)+4*x^2+x)^2/(x^5-x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 \left(x^{2}-x +1\right)^{4 \,{\mathrm e}^{4}+8 x} {\mathrm e}^{2 \ln \left(x^{2}-x +1\right)^{2}+2 \,{\mathrm e}^{8}+8 x \,{\mathrm e}^{4}+8 x^{2}+2 x}}{x^{2}}$&$57$\\ \hline \end{longtable}"," ",0,"9/x^2*((x^2-x+1)^(2*exp(4)+4*x))^2*exp(2*ln(x^2-x+1)^2+2*exp(8)+8*x*exp(4)+8*x^2+2*x)","B"
222,1,878,22,0.563000," ","int(((1-x)*ln(2*x^2)*ln(x/ln(2*x^2))+(x-ln(x))*ln(2*x^2)+2*ln(x)-2*x)/(x*ln(x)^2-2*x^2*ln(x)+x^3)/ln(2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(2\right)+4 i \ln \left(x \right)\right)}{x -\ln \left(x \right)}+\frac{-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(2\right)+4 i \ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(2\right)+4 i \ln \left(x \right)}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(2\right)+4 i \ln \left(x \right)}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i x}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(2\right)+4 i \ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{x}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(2\right)+4 i \ln \left(x \right)}\right)-i \pi  \mathrm{csgn}\left(\frac{x}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(2\right)+4 i \ln \left(x \right)}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(2\right)+4 i \ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(2\right)+4 i \ln \left(x \right)}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i x}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(2\right)+4 i \ln \left(x \right)}\right)^{3}+i \pi  \,\mathrm{csgn}\left(\frac{i x}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(2\right)+4 i \ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{x}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(2\right)+4 i \ln \left(x \right)}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{x}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(2\right)+4 i \ln \left(x \right)}\right)^{3}+i \pi +2 \ln \left(2\right)+2 x}{2 x -2 \ln \left(x \right)}$&$878$\\ \hline \end{longtable}"," ",0,"-1/(x-ln(x))*ln(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(2)+4*I*ln(x))+1/2*(-I*Pi*csgn(I*x)*csgn(I/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(2)+4*I*ln(x)))*csgn(I*x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(2)+4*I*ln(x)))+I*Pi*csgn(I*x)*csgn(I*x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(2)+4*I*ln(x)))^2-I*Pi*csgn(I*x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(2)+4*I*ln(x)))*csgn(x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(2)+4*I*ln(x)))-I*Pi*csgn(x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(2)+4*I*ln(x)))^2+I*Pi*csgn(I/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(2)+4*I*ln(x)))*csgn(I*x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(2)+4*I*ln(x)))^2-I*Pi*csgn(I*x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(2)+4*I*ln(x)))^3+I*Pi*csgn(I*x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(2)+4*I*ln(x)))*csgn(x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(2)+4*I*ln(x)))^2+I*Pi*csgn(x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(2)+4*I*ln(x)))^3+I*Pi+2*ln(2)+2*x)/(x-ln(x))","C"
223,1,35,27,0.046000," ","int(((48*x^6+384*x^4+768*x^2)*exp(4)-672*x^6-160*x^5-5691*x^4-1280*x^3-14552*x^2+80)/(5*x^4+40*x^2+80),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x^{3} {\mathrm e}^{4}}{5}-\frac{224 x^{3}}{5}-16 x^{2}-63 x +\frac{256 x -256}{x^{2}+4}$&$35$\\ default&$\frac{16 x^{3} {\mathrm e}^{4}}{5}-\frac{224 x^{3}}{5}-16 x^{2}-63 x -\frac{256 \left(1-x \right)}{x^{2}+4}$&$36$\\ norman&$\frac{\left(\frac{16 \,{\mathrm e}^{4}}{5}-\frac{224}{5}\right) x^{5}+\left(\frac{64 \,{\mathrm e}^{4}}{5}-\frac{1211}{5}\right) x^{3}+4 x -16 x^{4}}{x^{2}+4}$&$38$\\ gosper&$\frac{x \left(16 x^{4} {\mathrm e}^{4}-224 x^{4}+64 x^{2} {\mathrm e}^{4}-80 x^{3}-1211 x^{2}+20\right)}{5 x^{2}+20}$&$42$\\ \hline \end{longtable}"," ",0,"16/5*x^3*exp(4)-224/5*x^3-16*x^2-63*x+(256*x-256)/(x^2+4)","A"
224,1,13,13,0.021000," ","int((-x*ln(x)^2-2*x^3*ln(x)-x^5-2*x^2-1)/(x*ln(x)^2+2*x^3*ln(x)+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{1}{\ln \left(x \right)+x^{2}}$&$13$\\ norman&$\frac{1-x^{3}-x \ln \left(x \right)}{\ln \left(x \right)+x^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"-x+1/(ln(x)+x^2)","A"
225,1,16,18,0.049000," ","int(1/4*((2-x)*exp(x)-7*x^3+8*x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{7 x}{4}+2 \ln \left(x \right)-\frac{{\mathrm e}^{x}}{4 x^{2}}$&$16$\\ risch&$-\frac{7 x}{4}+2 \ln \left(x \right)-\frac{{\mathrm e}^{x}}{4 x^{2}}$&$16$\\ norman&$\frac{-\frac{7 x^{3}}{4}-\frac{{\mathrm e}^{x}}{4}}{x^{2}}+2 \ln \left(x \right)$&$20$\\ \hline \end{longtable}"," ",0,"-7/4*x+2*ln(x)-1/4*exp(x)/x^2","A"
226,1,32,27,0.071000," ","int((-3*x^5+48*x^4-194*x^3-48*x^2-8*x+1088)/((3*x^6-36*x^5-6*x^4+816*x^3)*ln((4*x-32)/(x^2-4*x-34))-4*x^6+48*x^5+6*x^4-1064*x^3+4*x^2-544*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\frac{4 x -32}{x^{2}-4 x -34}\right)-\frac{2 \left(2 x^{2}+1\right)}{3 x^{2}}\right)$&$32$\\ norman&$-2 \ln \left(x \right)+\ln \left(3 x^{2} \ln \left(\frac{4 x -32}{x^{2}-4 x -34}\right)-4 x^{2}-2\right)$&$36$\\ \hline \end{longtable}"," ",0,"ln(ln((4*x-32)/(x^2-4*x-34))-2/3*(2*x^2+1)/x^2)","A"
227,1,5,14,0.011000," ","int(1/4/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(x \right)}{4}$&$5$\\ norman&$\frac{\ln \left(x \right)}{4}$&$5$\\ risch&$\frac{\ln \left(x \right)}{4}$&$5$\\ \hline \end{longtable}"," ",0,"1/4*ln(x)","A"
228,1,15,20,0.061000," ","int((8*exp(x)*x-4)*exp(-ln(-ln(5))+exp(x))^2/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{2 \,{\mathrm e}^{x}}}{x \ln \left(5\right)^{2}}$&$15$\\ norman&$\frac{4 \,{\mathrm e}^{2 \,{\mathrm e}^{x}}}{x \ln \left(5\right)^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"4/x/ln(5)^2*exp(2*exp(x))","A"
229,1,14,16,0.018000," ","int(-5/(exp(-ln(5)+x)+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(5\right)-x +\ln \left(\frac{{\mathrm e}^{x}}{5}+5\right)$&$14$\\ norman&$-x +\ln \left({\mathrm e}^{-\ln \left(5\right)+x}+5\right)$&$15$\\ derivativedivides&$\ln \left({\mathrm e}^{-\ln \left(5\right)+x}+5\right)-\ln \left({\mathrm e}^{-\ln \left(5\right)+x}\right)$&$22$\\ default&$\ln \left({\mathrm e}^{-\ln \left(5\right)+x}+5\right)-\ln \left({\mathrm e}^{-\ln \left(5\right)+x}\right)$&$22$\\ \hline \end{longtable}"," ",0,"ln(5)-x+ln(1/5*exp(x)+5)","A"
230,1,27,26,0.055000," ","int(((4*x^4-24*x^3+20*x^2)*exp(2)-30*x^2+210*x-100)/(x^3-6*x^2+5*x)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2}+10 \,{\mathrm e}^{-2} \ln \left(x -5\right)-20 \,{\mathrm e}^{-2} \ln \left(x^{2}-x \right)$&$27$\\ default&${\mathrm e}^{-2} \left(2 x^{2} {\mathrm e}^{2}+10 \ln \left(x -5\right)-20 \ln \left(x \right)-20 \ln \left(x -1\right)\right)$&$30$\\ norman&$2 x^{2}-20 \ln \left(x \right) {\mathrm e}^{-2}+10 \,{\mathrm e}^{-2} \ln \left(x -5\right)-20 \,{\mathrm e}^{-2} \ln \left(x -1\right)$&$35$\\ \hline \end{longtable}"," ",0,"2*x^2+10*exp(-2)*ln(x-5)-20*exp(-2)*ln(x^2-x)","A"
231,1,41,28,0.073000," ","int(((21*x^5+3*x^4)*ln(7*x+1)^4+28*x^5*ln(7*x+1)^3+(-28*x^4+38*x^3+6*x^2)*ln(7*x+1)^2+(-28*x^4+84*x^3)*ln(7*x+1)+7*x^3+x^2-63*x-9)/(7*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3} \ln \left(7 x +1\right)^{4}+\left(-2 x^{2}+6 x \right) \ln \left(7 x +1\right)^{2}+\frac{x^{2}+9}{x}$&$41$\\ derivativedivides&$\frac{\ln \left(7 x +1\right)^{4} \left(7 x +1\right)^{3}}{343}-\frac{3 \ln \left(7 x +1\right)^{4} \left(7 x +1\right)^{2}}{343}+\frac{3 \ln \left(7 x +1\right)^{4} \left(7 x +1\right)}{343}-\frac{2 \ln \left(7 x +1\right)^{2} \left(7 x +1\right)^{2}}{49}+\frac{46 \ln \left(7 x +1\right)^{2} \left(7 x +1\right)}{49}-\frac{\ln \left(7 x +1\right)^{4}}{343}-\frac{44 \ln \left(7 x +1\right)^{2}}{49}+\frac{9}{x}+x +\frac{1}{7}$&$110$\\ default&$\frac{\ln \left(7 x +1\right)^{4} \left(7 x +1\right)^{3}}{343}-\frac{3 \ln \left(7 x +1\right)^{4} \left(7 x +1\right)^{2}}{343}+\frac{3 \ln \left(7 x +1\right)^{4} \left(7 x +1\right)}{343}-\frac{2 \ln \left(7 x +1\right)^{2} \left(7 x +1\right)^{2}}{49}+\frac{46 \ln \left(7 x +1\right)^{2} \left(7 x +1\right)}{49}-\frac{\ln \left(7 x +1\right)^{4}}{343}-\frac{44 \ln \left(7 x +1\right)^{2}}{49}+\frac{9}{x}+x +\frac{1}{7}$&$110$\\ \hline \end{longtable}"," ",0,"x^3*ln(7*x+1)^4+(-2*x^2+6*x)*ln(7*x+1)^2+(x^2+9)/x","A"
232,1,627,24,0.383000," ","int((((x^2-2*x)*exp(x)+x^2-x-2)*ln(x-2)*ln(ln(x-2)^2/x^2)+((-2*x^2+4*x)*exp(x)-2*x^2+8)*ln(x-2)+2*x)*exp(ln(-ln(ln(x-2)^2/x^2)+2)+exp(x)+5+x)/((x-2)*ln(x-2)*ln(ln(x-2)^2/x^2)+(4-2*x)*ln(x-2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i \left(-\frac{i \pi  x \,\mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x -2\right)^{2}}{x^{2}}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(i \ln \left(x -2\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right)}{2}-i \pi  x \,\mathrm{csgn}\left(i \ln \left(x -2\right)\right) \mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right)^{2}-\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}+i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \ln \left(x -2\right)^{2}}{x^{2}}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \ln \left(x -2\right)^{2}}{x^{2}}\right)^{3}}{2}+\frac{i \pi  x \mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right)^{3}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+2 x +\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x -2\right)^{2}}{x^{2}}\right)}{2}+2 x \ln \left(x \right)-2 x \ln \left(\ln \left(x -2\right)\right)\right) \left(2 \ln \left(x \right)-2 \ln \left(\ln \left(x -2\right)\right)+\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right) \left(-\mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right)+\mathrm{csgn}\left(i \ln \left(x -2\right)\right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \ln \left(x -2\right)^{2}}{x^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i \ln \left(x -2\right)^{2}}{x^{2}}\right)+\mathrm{csgn}\left(\frac{i}{x^{2}}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \ln \left(x -2\right)^{2}}{x^{2}}\right)+\mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right)\right)}{2}+2\right) {\mathrm e}^{{\mathrm e}^{x}+5+x}}{4 i \ln \left(x \right)+4 i-4 i \ln \left(\ln \left(x -2\right)\right)-\pi  \mathrm{csgn}\left(\frac{i \ln \left(x -2\right)^{2}}{x^{2}}\right)^{3}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x -2\right)^{2}}{x^{2}}\right)-\pi  \mathrm{csgn}\left(i \ln \left(x -2\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \ln \left(x -2\right)\right) \mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \ln \left(x -2\right)^{2}}{x^{2}}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x -2\right)^{2}}{x^{2}}\right)^{2}}$&$627$\\ \hline \end{longtable}"," ",0,"2*I*(-1/2*I*Pi*x*csgn(I*ln(x-2)^2)*csgn(I/x^2*ln(x-2)^2)^2+1/2*I*Pi*x*csgn(I*ln(x-2))^2*csgn(I*ln(x-2)^2)-I*Pi*x*csgn(I*ln(x-2))*csgn(I*ln(x-2)^2)^2-1/2*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)+I*Pi*x*csgn(I*x)*csgn(I*x^2)^2-1/2*I*Pi*x*csgn(I/x^2)*csgn(I/x^2*ln(x-2)^2)^2+1/2*I*Pi*x*csgn(I/x^2*ln(x-2)^2)^3+1/2*I*Pi*x*csgn(I*ln(x-2)^2)^3-1/2*I*Pi*x*csgn(I*x^2)^3+2*x+1/2*I*Pi*x*csgn(I/x^2)*csgn(I*ln(x-2)^2)*csgn(I/x^2*ln(x-2)^2)+2*x*ln(x)-2*x*ln(ln(x-2)))/(4*I*ln(x)+4*I-4*I*ln(ln(x-2))-Pi*csgn(I/x^2*ln(x-2)^2)^3+Pi*csgn(I*x^2)^3-Pi*csgn(I*ln(x-2)^2)^3-Pi*csgn(I/x^2)*csgn(I*ln(x-2)^2)*csgn(I/x^2*ln(x-2)^2)-Pi*csgn(I*ln(x-2))^2*csgn(I*ln(x-2)^2)+2*Pi*csgn(I*ln(x-2))*csgn(I*ln(x-2)^2)^2+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I/x^2)*csgn(I/x^2*ln(x-2)^2)^2+Pi*csgn(I*ln(x-2)^2)*csgn(I/x^2*ln(x-2)^2)^2)*(2*ln(x)-2*ln(ln(x-2))+1/2*I*Pi*csgn(I*ln(x-2)^2)*(-csgn(I*ln(x-2)^2)+csgn(I*ln(x-2)))^2-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2+1/2*I*Pi*csgn(I/x^2*ln(x-2)^2)*(-csgn(I/x^2*ln(x-2)^2)+csgn(I/x^2))*(-csgn(I/x^2*ln(x-2)^2)+csgn(I*ln(x-2)^2))+2)*exp(exp(x)+5+x)","C"
233,1,22,23,0.028000," ","int(((x^2-2*x+2)*exp(x)-2*ln(3)+x^2-10)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}+{\mathrm e}^{x} x -2 \,{\mathrm e}^{x}+2 \ln \left(3\right)+10}{x}$&$22$\\ default&$x +\frac{10}{x}+\frac{2 \ln \left(3\right)}{x}-\frac{2 \,{\mathrm e}^{x}}{x}+{\mathrm e}^{x}$&$24$\\ risch&$x +\frac{2 \ln \left(3\right)}{x}+\frac{10}{x}+\frac{\left(x -2\right) {\mathrm e}^{x}}{x}$&$24$\\ \hline \end{longtable}"," ",0,"(x^2+exp(x)*x-2*exp(x)+2*ln(3)+10)/x","A"
234,1,9,9,0.015000," ","int(-exp(x)+17/9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{17 x}{9}-{\mathrm e}^{x}$&$9$\\ norman&$\frac{17 x}{9}-{\mathrm e}^{x}$&$9$\\ risch&$\frac{17 x}{9}-{\mathrm e}^{x}$&$9$\\ derivativedivides&$-{\mathrm e}^{x}+\frac{17 \ln \left({\mathrm e}^{x}\right)}{9}$&$11$\\ \hline \end{longtable}"," ",0,"17/9*x-exp(x)","A"
235,0,0,23,180.000000," ","int((((-exp(x)*x+4)*ln(1/x)+1)*exp(exp(x))*exp(ln(1/x)*exp(exp(x))/x^4)-x^5*exp(x)+10*x^5)/x^5,x)","\[\int \frac{\left(\left(-{\mathrm e}^{x} x +4\right) \ln \left(\frac{1}{x}\right)+1\right) {\mathrm e}^{{\mathrm e}^{x}} {\mathrm e}^{\frac{\ln \left(\frac{1}{x}\right) {\mathrm e}^{{\mathrm e}^{x}}}{x^{4}}}-x^{5} {\mathrm e}^{x}+10 x^{5}}{x^{5}}\, dx\]"," ",0,"int((((-exp(x)*x+4)*ln(1/x)+1)*exp(exp(x))*exp(ln(1/x)*exp(exp(x))/x^4)-x^5*exp(x)+10*x^5)/x^5,x)","F"
236,1,24,22,0.080000," ","int((((2*x-1)*ln(x)-2)*exp(ln(ln(x))-x-2)+ln(x)^2+2*ln(x))/(x*ln(x)*exp(ln(ln(x))-x-2)-x*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)-4-2 \ln \left(-\ln \left(x \right)+\ln \left(x \right) {\mathrm e}^{-x -2}\right)$&$24$\\ \hline \end{longtable}"," ",0,"-ln(x)-4-2*ln(-ln(x)+ln(x)*exp(-x-2))","A"
237,1,5,6,0.064000," ","int(2*exp(x^2)*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{x^{2}}$&$5$\\ derivativedivides&${\mathrm e}^{x^{2}}$&$5$\\ default&${\mathrm e}^{x^{2}}$&$5$\\ norman&${\mathrm e}^{x^{2}}$&$5$\\ risch&${\mathrm e}^{x^{2}}$&$5$\\ meijerg&${\mathrm e}^{x^{2}}-1$&$7$\\ \hline \end{longtable}"," ",0,"exp(x^2)","A"
238,1,66,23,0.099000," ","int(((2*x+2)*exp(2)^2+(-16*x^3+168*x^2+8*x-56)*exp(2)+24*x^5-600*x^4+4048*x^3-5040*x^2+1568*x)/exp(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \left(4 x^{5}-4 x^{3} {\mathrm e}^{2}-120 x^{4}+x \,{\mathrm e}^{4}+56 x^{2} {\mathrm e}^{2}+1012 x^{3}+2 \,{\mathrm e}^{4}+4 \,{\mathrm e}^{2} x -1680 x^{2}-56 \,{\mathrm e}^{2}+784 x \right) {\mathrm e}^{-4}$&$66$\\ default&${\mathrm e}^{-4} \left(\left(x^{2}+2 x \right) {\mathrm e}^{4}+{\mathrm e}^{2} \left(-4 x^{4}+56 x^{3}+4 x^{2}-56 x \right)+4 x^{6}-120 x^{5}+1012 x^{4}-1680 x^{3}+784 x^{2}\right)$&$66$\\ risch&$4 \,{\mathrm e}^{-4} x^{6}-4 \,{\mathrm e}^{-2} x^{4}-120 \,{\mathrm e}^{-4} x^{5}+x^{2}+56 \,{\mathrm e}^{-2} x^{3}+1012 \,{\mathrm e}^{-4} x^{4}+2 x +4 x^{2} {\mathrm e}^{-2}-1680 \,{\mathrm e}^{-4} x^{3}-56 x \,{\mathrm e}^{-2}+784 \,{\mathrm e}^{-4} x^{2}$&$69$\\ norman&$\left(\left(2 \,{\mathrm e}^{2}-56\right) x +\left({\mathrm e}^{4}+4 \,{\mathrm e}^{2}+784\right) {\mathrm e}^{-2} x^{2}-120 \,{\mathrm e}^{-2} x^{5}+4 \,{\mathrm e}^{-2} x^{6}-4 \left({\mathrm e}^{2}-253\right) {\mathrm e}^{-2} x^{4}+56 \left({\mathrm e}^{2}-30\right) {\mathrm e}^{-2} x^{3}\right) {\mathrm e}^{-2}$&$77$\\ \hline \end{longtable}"," ",0,"x*(4*x^5-4*x^3*exp(2)-120*x^4+x*exp(2)^2+56*x^2*exp(2)+1012*x^3+2*exp(2)^2+4*exp(2)*x-1680*x^2-56*exp(2)+784*x)/exp(2)^2","B"
239,1,21,20,0.156000," ","int(((-4*x*ln(5)-2*x^2+16*x)*ln(x)-2*x*ln(5)-2*x^2+8*x+10)/((x^2*ln(5)+x^3-4*x^2)*ln(x)+5*ln(5)+5*x-20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(\ln \left(5\right)-4+x \right)-2 \ln \left(5+x^{2} \ln \left(x \right)\right)$&$21$\\ risch&$-4 \ln \left(x \right)+2 \ln \left(\ln \left(5\right)-4+x \right)-2 \ln \left(\ln \left(x \right)+\frac{5}{x^{2}}\right)$&$25$\\ \hline \end{longtable}"," ",0,"2*ln(ln(5)-4+x)-2*ln(5+x^2*ln(x))","A"
240,1,28,32,0.362000," ","int(((20*x*ln(x-2)^3+(-10*x^2+20*x)*ln(x-2)^2+(-20*x^2+60*x)*ln(x-2)+10*x^3-50*x^2+60*x)*exp(ln(x-2)^4+(6-2*x)*ln(x-2)^2+x^2-6*x+9)+10*x^3-20*x^2-x+2)*exp(5*exp(ln(x-2)^4+(6-2*x)*ln(x-2)^2+x^2-6*x+9)+5*x^2)/(x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{5 \,{\mathrm e}^{\left(3+\ln \left(x -2\right)^{2}-x \right)^{2}}+5 x^{2}}}{x}$&$28$\\ \hline \end{longtable}"," ",0,"exp(5*exp((3+ln(x-2)^2-x)^2)+5*x^2)/x","A"
241,1,49,26,0.077000," ","int((((-5*x-5)*ln(3)^2-x^2-x+1)*ln(x)^2+((-5*x^2+10*x)*ln(3)^2-x^3+2*x^2+2*x)*ln(x)-5*x*ln(3)^2-x^2-x)/exp(x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(5 x \ln \left(3\right)^{2}+10 \ln \left(3\right)^{2}+x^{2}+3 x +2\right) {\mathrm e}^{-x}+\frac{x^{2} {\mathrm e}^{-x} \left(5 \ln \left(3\right)^{2}+x +1\right)}{\ln \left(x \right)}$&$49$\\ \hline \end{longtable}"," ",0,"(5*x*ln(3)^2+10*ln(3)^2+x^2+3*x+2)*exp(-x)+x^2*exp(-x)*(5*ln(3)^2+x+1)/ln(x)","A"
242,1,1445,24,0.839000," ","int(((24*x^2-15048*x+30000)*ln(-x+625)+4*x^3-2484*x^2-15036*x+37500)*ln((10*x^3-30*x^2)/(4*ln(-x+625)+5+x))/((4*x^3-2512*x^2+7500*x)*ln(-x+625)+x^4-623*x^3-1265*x^2+9375*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(x \right)^{2}-i \pi  \ln \left(x -3\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{3}-i \pi  \ln \left(x -3\right) \mathrm{csgn}\left(\frac{i x^{2} \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{3}-2 i \pi  \ln \left(-x \right) \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \ln \left(-x \right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{3}-2 i \pi  \ln \left(-x \right) \mathrm{csgn}\left(\frac{i x^{2} \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{3}-i \pi  \ln \left(x -3\right) \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \ln \left(\ln \left(-x +625\right)+\frac{5}{4}+\frac{x}{4}\right) \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \ln \left(\ln \left(-x +625\right)+\frac{5}{4}+\frac{x}{4}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{3}+i \pi  \ln \left(\ln \left(-x +625\right)+\frac{5}{4}+\frac{x}{4}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{3}+2 i \pi  \ln \left(-x \right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{2}+i \pi  \ln \left(x -3\right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{2}+i \pi  \ln \left(x -3\right) \mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{2}+i \pi  \ln \left(x -3\right) \mathrm{csgn}\left(\frac{i}{4 \ln \left(-x +625\right)+5+x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{2}+i \pi  \ln \left(x -3\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{2}+i \pi  \ln \left(\ln \left(-x +625\right)+\frac{5}{4}+\frac{x}{4}\right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+i \pi  \ln \left(\ln \left(-x +625\right)+\frac{5}{4}+\frac{x}{4}\right) \mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i}{4 \ln \left(-x +625\right)+5+x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)-2 i \pi  \ln \left(-x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)-2 i \pi  \ln \left(-x \right) \mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i}{4 \ln \left(-x +625\right)+5+x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)-i \pi  \ln \left(x -3\right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)-i \pi  \ln \left(x -3\right) \mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i}{4 \ln \left(-x +625\right)+5+x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)+i \pi  \ln \left(\ln \left(-x +625\right)+\frac{5}{4}+\frac{x}{4}\right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)+\ln \left(x -3\right)^{2}+\ln \left(4 \ln \left(-x +625\right)+5+x \right)^{2}-2 i \pi  \ln \left(\ln \left(-x +625\right)+\frac{5}{4}+\frac{x}{4}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \ln \left(\ln \left(-x +625\right)+\frac{5}{4}+\frac{x}{4}\right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{2}-i \pi  \ln \left(\ln \left(-x +625\right)+\frac{5}{4}+\frac{x}{4}\right) \mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{2}-i \pi  \ln \left(\ln \left(-x +625\right)+\frac{5}{4}+\frac{x}{4}\right) \mathrm{csgn}\left(\frac{i}{4 \ln \left(-x +625\right)+5+x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{2}-i \pi  \ln \left(\ln \left(-x +625\right)+\frac{5}{4}+\frac{x}{4}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{2}-i \pi  \ln \left(x -3\right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \ln \left(x -3\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-2 i \pi  \ln \left(-x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+4 i \pi  \ln \left(-x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+2 i \pi  \ln \left(-x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{2}+2 i \pi  \ln \left(-x \right) \mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{2}+2 i \pi  \ln \left(-x \right) \mathrm{csgn}\left(\frac{i}{4 \ln \left(-x +625\right)+5+x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{4 \ln \left(-x +625\right)+5+x}\right)^{2}+2 \ln \left(2\right) \ln \left(x -3\right)+4 \ln \left(2\right) \ln \left(-x \right)+2 \ln \left(x -3\right) \ln \left(5\right)+4 \ln \left(-x \right) \ln \left(5\right)+4 \ln \left(x \right) \ln \left(x -3\right)+\left(-4 \ln \left(x \right)-2 \ln \left(x -3\right)\right) \ln \left(4 \ln \left(-x +625\right)+5+x \right)-2 \ln \left(2\right) \ln \left(\ln \left(-x +625\right)+\frac{5}{4}+\frac{x}{4}\right)-2 \ln \left(\ln \left(-x +625\right)+\frac{5}{4}+\frac{x}{4}\right) \ln \left(5\right)$&$1445$\\ \hline \end{longtable}"," ",0,"4*ln(x)^2-I*Pi*ln(x-3)*csgn(I*(x-3)/(4*ln(-x+625)+5+x))^3-I*Pi*ln(x-3)*csgn(I*x^2/(4*ln(-x+625)+5+x)*(x-3))^3-2*I*Pi*ln(-x)*csgn(I*x^2)^3-2*I*Pi*ln(-x)*csgn(I*(x-3)/(4*ln(-x+625)+5+x))^3-2*I*Pi*ln(-x)*csgn(I*x^2/(4*ln(-x+625)+5+x)*(x-3))^3-I*Pi*ln(x-3)*csgn(I*x^2)^3+I*Pi*ln(ln(-x+625)+5/4+1/4*x)*csgn(I*x^2)^3+I*Pi*ln(ln(-x+625)+5/4+1/4*x)*csgn(I*(x-3)/(4*ln(-x+625)+5+x))^3+I*Pi*ln(ln(-x+625)+5/4+1/4*x)*csgn(I*x^2/(4*ln(-x+625)+5+x)*(x-3))^3-I*Pi*ln(x-3)*csgn(I*(x-3))*csgn(I/(4*ln(-x+625)+5+x))*csgn(I*(x-3)/(4*ln(-x+625)+5+x))+I*Pi*ln(ln(-x+625)+5/4+1/4*x)*csgn(I*x^2)*csgn(I*(x-3)/(4*ln(-x+625)+5+x))*csgn(I*x^2/(4*ln(-x+625)+5+x)*(x-3))+I*Pi*ln(ln(-x+625)+5/4+1/4*x)*csgn(I*(x-3))*csgn(I/(4*ln(-x+625)+5+x))*csgn(I*(x-3)/(4*ln(-x+625)+5+x))-2*I*Pi*ln(-x)*csgn(I*x^2)*csgn(I*(x-3)/(4*ln(-x+625)+5+x))*csgn(I*x^2/(4*ln(-x+625)+5+x)*(x-3))-2*I*Pi*ln(-x)*csgn(I*(x-3))*csgn(I/(4*ln(-x+625)+5+x))*csgn(I*(x-3)/(4*ln(-x+625)+5+x))-I*Pi*ln(x-3)*csgn(I*x^2)*csgn(I*(x-3)/(4*ln(-x+625)+5+x))*csgn(I*x^2/(4*ln(-x+625)+5+x)*(x-3))-2*I*Pi*ln(ln(-x+625)+5/4+1/4*x)*csgn(I*x)*csgn(I*x^2)^2-I*Pi*ln(ln(-x+625)+5/4+1/4*x)*csgn(I*x^2)*csgn(I*x^2/(4*ln(-x+625)+5+x)*(x-3))^2-I*Pi*ln(ln(-x+625)+5/4+1/4*x)*csgn(I*(x-3))*csgn(I*(x-3)/(4*ln(-x+625)+5+x))^2-I*Pi*ln(ln(-x+625)+5/4+1/4*x)*csgn(I/(4*ln(-x+625)+5+x))*csgn(I*(x-3)/(4*ln(-x+625)+5+x))^2-I*Pi*ln(ln(-x+625)+5/4+1/4*x)*csgn(I*(x-3)/(4*ln(-x+625)+5+x))*csgn(I*x^2/(4*ln(-x+625)+5+x)*(x-3))^2-I*Pi*ln(x-3)*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*ln(x-3)*csgn(I*x)*csgn(I*x^2)^2-2*I*Pi*ln(-x)*csgn(I*x)^2*csgn(I*x^2)+4*I*Pi*ln(-x)*csgn(I*x)*csgn(I*x^2)^2+2*I*Pi*ln(-x)*csgn(I*x^2)*csgn(I*x^2/(4*ln(-x+625)+5+x)*(x-3))^2+2*I*Pi*ln(-x)*csgn(I*(x-3))*csgn(I*(x-3)/(4*ln(-x+625)+5+x))^2+2*I*Pi*ln(-x)*csgn(I/(4*ln(-x+625)+5+x))*csgn(I*(x-3)/(4*ln(-x+625)+5+x))^2+2*I*Pi*ln(-x)*csgn(I*(x-3)/(4*ln(-x+625)+5+x))*csgn(I*x^2/(4*ln(-x+625)+5+x)*(x-3))^2+I*Pi*ln(x-3)*csgn(I*x^2)*csgn(I*x^2/(4*ln(-x+625)+5+x)*(x-3))^2+I*Pi*ln(x-3)*csgn(I*(x-3))*csgn(I*(x-3)/(4*ln(-x+625)+5+x))^2+I*Pi*ln(x-3)*csgn(I/(4*ln(-x+625)+5+x))*csgn(I*(x-3)/(4*ln(-x+625)+5+x))^2+I*Pi*ln(x-3)*csgn(I*(x-3)/(4*ln(-x+625)+5+x))*csgn(I*x^2/(4*ln(-x+625)+5+x)*(x-3))^2+I*Pi*ln(ln(-x+625)+5/4+1/4*x)*csgn(I*x)^2*csgn(I*x^2)+ln(x-3)^2+ln(4*ln(-x+625)+5+x)^2+2*ln(2)*ln(x-3)+4*ln(2)*ln(-x)+2*ln(x-3)*ln(5)+4*ln(-x)*ln(5)+4*ln(x)*ln(x-3)+(-4*ln(x)-2*ln(x-3))*ln(4*ln(-x+625)+5+x)-2*ln(2)*ln(ln(-x+625)+5/4+1/4*x)-2*ln(ln(-x+625)+5/4+1/4*x)*ln(5)","C"
243,1,14,21,0.069000," ","int(-exp(5)*exp(exp(1)-5)+(-2*x-1)*exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{5} x \left(x +{\mathrm e}^{{\mathrm e}-5}+1\right)$&$14$\\ risch&$-x \,{\mathrm e}^{{\mathrm e}}-x^{2} {\mathrm e}^{5}-x \,{\mathrm e}^{5}$&$20$\\ default&$-{\mathrm e}^{5} {\mathrm e}^{{\mathrm e}-5} x +\left(-x^{2}-x \right) {\mathrm e}^{5}$&$24$\\ norman&$\left(-{\mathrm e}^{5} {\mathrm e}^{{\mathrm e}} {\mathrm e}^{-5}-{\mathrm e}^{5}\right) x -x^{2} {\mathrm e}^{5}$&$25$\\ \hline \end{longtable}"," ",0,"-exp(5)*x*(x+exp(exp(1)-5)+1)","A"
244,1,18,19,0.091000," ","int(((x^2-x)*ln(x)^2-3*ln(3)*ln(x)-3*ln(3))/x^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\ln \left(x \right)+\frac{3 \ln \left(3\right)}{\ln \left(x \right) x}$&$18$\\ norman&$\frac{x^{2} \ln \left(x \right)-x \ln \left(x \right)^{2}+3 \ln \left(3\right)}{x \ln \left(x \right)}$&$27$\\ default&$x -\ln \left(x \right)+3 \ln \left(3\right) \expIntegralEi \left(1, \ln \left(x \right)\right)-3 \ln \left(3\right) \left(-\frac{1}{x \ln \left(x \right)}+\expIntegralEi \left(1, \ln \left(x \right)\right)\right)$&$33$\\ \hline \end{longtable}"," ",0,"x-ln(x)+3*ln(3)/ln(x)/x","A"
245,1,35,22,1.646000," ","int(((-4*ln(3)-4*I*Pi+4*x-12)*ln(ln(3)+I*Pi+3-x)^2+(-32*ln(3)-32*I*Pi+30*x-96)*ln(ln(3)+I*Pi+3-x)-64*ln(3)-64*I*Pi+56*x-192)/(x^5*(ln(3)+I*Pi)-x^6+3*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16+\ln \left(\ln \left(3\right)+i \pi +3-x \right)^{2}+8 \ln \left(\ln \left(3\right)+i \pi +3-x \right)}{x^{4}}$&$35$\\ risch&$\frac{\ln \left(\ln \left(3\right)+i \pi +3-x \right)^{2}}{x^{4}}+\frac{8 \ln \left(\ln \left(3\right)+i \pi +3-x \right)}{x^{4}}+\frac{16}{x^{4}}$&$42$\\ \hline \end{longtable}"," ",0,"(16+ln(ln(3)+I*Pi+3-x)^2+8*ln(ln(3)+I*Pi+3-x))/x^4","A"
246,1,26,30,0.129000," ","int(1/3*(15*exp(3)-15*x^2+18*x-52)*exp(1/3*(15*x-21)*exp(3)-5/3*x^3+3*x^2-52/3*x+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{5 x \,{\mathrm e}^{3}-7 \,{\mathrm e}^{3}-\frac{5 x^{3}}{3}+3 x^{2}-\frac{52 x}{3}+5}$&$26$\\ norman&${\mathrm e}^{\frac{\left(15 x -21\right) {\mathrm e}^{3}}{3}-\frac{5 x^{3}}{3}+3 x^{2}-\frac{52 x}{3}+5}$&$26$\\ risch&${\mathrm e}^{5 x \,{\mathrm e}^{3}-7 \,{\mathrm e}^{3}-\frac{5 x^{3}}{3}+3 x^{2}-\frac{52 x}{3}+5}$&$26$\\ \hline \end{longtable}"," ",0,"exp(5*x*exp(3)-7*exp(3)-5/3*x^3+3*x^2-52/3*x+5)","A"
247,1,32,22,0.378000," ","int((972*x^4-864*x^3-6984*x^2-39204)*exp((x*exp(1)+9*x^4-12*x^3-194*x^2+132*x+1089)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$36 \,{\mathrm e}^{\frac{x \,{\mathrm e}+9 x^{4}-12 x^{3}-194 x^{2}+132 x +1089}{x}}$&$32$\\ norman&$36 \,{\mathrm e}^{\frac{x \,{\mathrm e}+9 x^{4}-12 x^{3}-194 x^{2}+132 x +1089}{x}}$&$32$\\ risch&$36 \,{\mathrm e}^{\frac{x \,{\mathrm e}+9 x^{4}-12 x^{3}-194 x^{2}+132 x +1089}{x}}$&$32$\\ \hline \end{longtable}"," ",0,"36*exp((x*exp(1)+9*x^4-12*x^3-194*x^2+132*x+1089)/x)","A"
248,1,18,22,0.181000," ","int(((32*x^5-16*x^4-9)*exp(x)^2-80*x^4-45)/(16*x^5*exp(x)^2+80*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{9}{64 x^{4}}-\ln \left(x \right)+\ln \left(5+{\mathrm e}^{2 x}\right)$&$18$\\ risch&$\frac{9}{64 x^{4}}-\ln \left(x \right)+\ln \left(5+{\mathrm e}^{2 x}\right)$&$18$\\ \hline \end{longtable}"," ",0,"9/64/x^4-ln(x)+ln(exp(x)^2+5)","A"
249,1,16,16,0.081000," ","int(1/5*(4*ln(x)^2+90*x^2*ln(2)*ln(x)-30*x^2*ln(2))/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x}{5}+\frac{6 x^{3} \ln \left(2\right)}{\ln \left(x \right)}$&$16$\\ norman&$\frac{\frac{4 x \ln \left(x \right)}{5}+6 x^{3} \ln \left(2\right)}{\ln \left(x \right)}$&$19$\\ default&$-18 \ln \left(2\right) \expIntegralEi \left(1, -3 \ln \left(x \right)\right)-6 \ln \left(2\right) \left(-\frac{x^{3}}{\ln \left(x \right)}-3 \expIntegralEi \left(1, -3 \ln \left(x \right)\right)\right)+\frac{4 x}{5}$&$37$\\ \hline \end{longtable}"," ",0,"4/5*x+6*x^3*ln(2)/ln(x)","A"
250,1,18,20,0.123000," ","int(1/4*((3*x^3+6*x^2+3*x)*exp(x)*ln(x)+(3*x^2-4*x+3)*exp(x)+4*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \left(x^{2}+1\right) {\mathrm e}^{x} \ln \left(x \right)}{4}+x -{\mathrm e}^{x}$&$18$\\ default&$x +\frac{3 \,{\mathrm e}^{x} \ln \left(x \right)}{4}+\frac{3 x^{2} {\mathrm e}^{x} \ln \left(x \right)}{4}-{\mathrm e}^{x}$&$22$\\ norman&$x +\frac{3 \,{\mathrm e}^{x} \ln \left(x \right)}{4}+\frac{3 x^{2} {\mathrm e}^{x} \ln \left(x \right)}{4}-{\mathrm e}^{x}$&$22$\\ \hline \end{longtable}"," ",0,"3/4*(x^2+1)*exp(x)*ln(x)+x-exp(x)","A"
251,1,24,26,0.033000," ","int(1/5*(63*x^4+84*x^3+21*x^2-x-3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{21 x^{3}}{5}+\frac{42 x^{2}}{5}+\frac{21 x}{5}-\frac{\ln \left(x \right)}{5}+\frac{3}{5 x}$&$24$\\ risch&$\frac{21 x^{3}}{5}+\frac{42 x^{2}}{5}+\frac{21 x}{5}-\frac{\ln \left(x \right)}{5}+\frac{3}{5 x}$&$24$\\ norman&$\frac{\frac{3}{5}+\frac{21}{5} x^{2}+\frac{42}{5} x^{3}+\frac{21}{5} x^{4}}{x}-\frac{\ln \left(x \right)}{5}$&$27$\\ \hline \end{longtable}"," ",0,"21/5*x^3+42/5*x^2+21/5*x-1/5*ln(x)+3/5/x","A"
252,1,19,18,0.043000," ","int((20+4*x)/((exp(x)+x+6)*ln(5*exp(x)+5*x+30)^2+(-2*exp(x)*x-2*x^2-12*x)*ln(5*exp(x)+5*x+30)+exp(x)*x^2+x^3+6*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4}{x -\ln \left(5 \,{\mathrm e}^{x}+5 x +30\right)}$&$19$\\ \hline \end{longtable}"," ",0,"-4/(x-ln(5*exp(x)+5*x+30))","A"
253,1,60,28,0.152000," ","int(((4*x+100)*ln(1/5*x+5)^12+(96*x+2400)*ln(1/5*x+5)^11+(1056*x+26400)*ln(1/5*x+5)^10+(7040*x+176000)*ln(1/5*x+5)^9+((-60*x-1500)*exp(x)+31680*x+792000)*ln(1/5*x+5)^8+((-960*x-24000)*exp(x)+101376*x+2534400)*ln(1/5*x+5)^7+((-6720*x-168000)*exp(x)+236544*x+5913600)*ln(1/5*x+5)^6+((-26880*x-672000)*exp(x)+405504*x+10137600)*ln(1/5*x+5)^5+((128*x^3+3328*x^2+3500*x+7500)*exp(x)^2+(-67200*x-1680000)*exp(x)+506880*x+12672000)*ln(1/5*x+5)^4+((1024*x^3+26112*x^2+28000*x+60000)*exp(x)^2+(-107520*x-2688000)*exp(x)+450560*x+11264000)*ln(1/5*x+5)^3+((3072*x^3+76800*x^2+84000*x+180000)*exp(x)^2+(-107520*x-2688000)*exp(x)+270336*x+6758400)*ln(1/5*x+5)^2+((4096*x^3+100352*x^2+112000*x+240000)*exp(x)^2+(-61440*x-1536000)*exp(x)+98304*x+2457600)*ln(1/5*x+5)+(-640*x^2-16500*x-12500)*exp(x)^3+(2048*x^3+49152*x^2+56000*x+120000)*exp(x)^2+(-15360*x-384000)*exp(x)+16384*x+409600)/((x+25)*ln(1/5*x+5)^12+(24*x+600)*ln(1/5*x+5)^11+(264*x+6600)*ln(1/5*x+5)^10+(1760*x+44000)*ln(1/5*x+5)^9+((-15*x-375)*exp(x)+7920*x+198000)*ln(1/5*x+5)^8+((-240*x-6000)*exp(x)+25344*x+633600)*ln(1/5*x+5)^7+((-1680*x-42000)*exp(x)+59136*x+1478400)*ln(1/5*x+5)^6+((-6720*x-168000)*exp(x)+101376*x+2534400)*ln(1/5*x+5)^5+((75*x+1875)*exp(x)^2+(-16800*x-420000)*exp(x)+126720*x+3168000)*ln(1/5*x+5)^4+((600*x+15000)*exp(x)^2+(-26880*x-672000)*exp(x)+112640*x+2816000)*ln(1/5*x+5)^3+((1800*x+45000)*exp(x)^2+(-26880*x-672000)*exp(x)+67584*x+1689600)*ln(1/5*x+5)^2+((2400*x+60000)*exp(x)^2+(-15360*x-384000)*exp(x)+24576*x+614400)*ln(1/5*x+5)+(-125*x-3125)*exp(x)^3+(1200*x+30000)*exp(x)^2+(-3840*x-96000)*exp(x)+4096*x+102400),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x +\frac{64 x^{2} {\mathrm e}^{2 x}}{\left(-\ln \left(\frac{x}{5}+5\right)^{4}-8 \ln \left(\frac{x}{5}+5\right)^{3}-24 \ln \left(\frac{x}{5}+5\right)^{2}+5 \,{\mathrm e}^{x}-32 \ln \left(\frac{x}{5}+5\right)-16\right)^{2}}$&$60$\\ \hline \end{longtable}"," ",0,"4*x+64*x^2*exp(2*x)/(-ln(1/5*x+5)^4-8*ln(1/5*x+5)^3-24*ln(1/5*x+5)^2+5*exp(x)-32*ln(1/5*x+5)-16)^2","B"
254,1,51,27,1.768000," ","int((-2*ln(x^2*ln(2))+(2*x+4)*exp(x)+4)*exp(-x*ln(x^2*ln(2))+exp(x)*x+4*x)^2*exp(exp(x))^2+(2*ln(3)*ln(x^2*ln(2))+(-2*x-4)*ln(3)*exp(x)-4*ln(3))*exp(-x*ln(x^2*ln(2))+exp(x)*x+4*x)*exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(3\right) {\mathrm e}^{-x \ln \left(x^{2} \ln \left(2\right)\right)+{\mathrm e}^{x} x +4 x +{\mathrm e}^{x}}+{\mathrm e}^{-2 x \ln \left(x^{2} \ln \left(2\right)\right)+2 \,{\mathrm e}^{x} x +8 x +2 \,{\mathrm e}^{x}}$&$51$\\ risch&${\mathrm e}^{-4 x \ln \left(x \right)+2 \,{\mathrm e}^{x} x -2 x \ln \left(\ln \left(2\right)\right)+2 \,{\mathrm e}^{x}+8 x} {\mathrm e}^{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}} {\mathrm e}^{-2 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}} {\mathrm e}^{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}-2 \ln \left(3\right) {\mathrm e}^{-2 x \ln \left(x \right)+{\mathrm e}^{x} x -x \ln \left(\ln \left(2\right)\right)+4 x +{\mathrm e}^{x}} {\mathrm e}^{\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}} {\mathrm e}^{-i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}} {\mathrm e}^{\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}}$&$164$\\ \hline \end{longtable}"," ",0,"-2*ln(3)*exp(-x*ln(x^2*ln(2))+exp(x)*x+4*x+exp(x))+exp(-2*x*ln(x^2*ln(2))+2*exp(x)*x+8*x+2*exp(x))","A"
255,1,438,21,0.467000," ","int((((6*x^3+300*x^2+3750*x)*ln(x)*ln(ln(x))+(6*x^4+310*x^3+4000*x^2)*ln(x))*ln(((9*x^2+450*x+5625)*ln(ln(x))^2+(18*x^3+930*x^2+12000*x)*ln(ln(x))+9*x^4+480*x^3+6400*x^2)/(9*x^2+450*x+5625))+(6*x^4+300*x^3+4000*x^2)*ln(x)+6*x^3+300*x^2+3750*x)/((3*x^2+150*x+1875)*ln(x)*ln(ln(x))+(3*x^3+155*x^2+2000*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2} \ln \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{80}{3}\right) x +25 \ln \left(\ln \left(x \right)\right)\right)-2 x^{2} \ln \left(x +25\right)-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\left(x +25\right)^{2}}\right) \mathrm{csgn}\left(i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{80}{3}\right) x +25 \ln \left(\ln \left(x \right)\right)\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{80}{3}\right) x +25 \ln \left(\ln \left(x \right)\right)\right)^{2}}{\left(x +25\right)^{2}}\right)}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\left(x +25\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{80}{3}\right) x +25 \ln \left(\ln \left(x \right)\right)\right)^{2}}{\left(x +25\right)^{2}}\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x +25\right)\right)^{2} \mathrm{csgn}\left(i \left(x +25\right)^{2}\right)}{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x +25\right)\right) \mathrm{csgn}\left(i \left(x +25\right)^{2}\right)^{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x +25\right)^{2}\right)^{3}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{80}{3}\right) x +25 \ln \left(\ln \left(x \right)\right)\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{80}{3}\right) x +25 \ln \left(\ln \left(x \right)\right)\right)^{2}\right)}{2}+i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{80}{3}\right) x +25 \ln \left(\ln \left(x \right)\right)\right)\right) \mathrm{csgn}\left(i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{80}{3}\right) x +25 \ln \left(\ln \left(x \right)\right)\right)^{2}\right)^{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{80}{3}\right) x +25 \ln \left(\ln \left(x \right)\right)\right)^{2}\right)^{3}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{80}{3}\right) x +25 \ln \left(\ln \left(x \right)\right)\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{80}{3}\right) x +25 \ln \left(\ln \left(x \right)\right)\right)^{2}}{\left(x +25\right)^{2}}\right)^{2}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{80}{3}\right) x +25 \ln \left(\ln \left(x \right)\right)\right)^{2}}{\left(x +25\right)^{2}}\right)^{3}}{2}$&$438$\\ \hline \end{longtable}"," ",0,"2*x^2*ln(x^2+(ln(ln(x))+80/3)*x+25*ln(ln(x)))-2*x^2*ln(x+25)-1/2*I*Pi*x^2*csgn(I/(x+25)^2)*csgn(I*(x^2+(ln(ln(x))+80/3)*x+25*ln(ln(x)))^2)*csgn(I/(x+25)^2*(x^2+(ln(ln(x))+80/3)*x+25*ln(ln(x)))^2)+1/2*I*Pi*x^2*csgn(I/(x+25)^2)*csgn(I/(x+25)^2*(x^2+(ln(ln(x))+80/3)*x+25*ln(ln(x)))^2)^2+1/2*I*Pi*x^2*csgn(I*(x+25))^2*csgn(I*(x+25)^2)-I*Pi*x^2*csgn(I*(x+25))*csgn(I*(x+25)^2)^2+1/2*I*Pi*x^2*csgn(I*(x+25)^2)^3-1/2*I*Pi*x^2*csgn(I*(x^2+(ln(ln(x))+80/3)*x+25*ln(ln(x))))^2*csgn(I*(x^2+(ln(ln(x))+80/3)*x+25*ln(ln(x)))^2)+I*Pi*x^2*csgn(I*(x^2+(ln(ln(x))+80/3)*x+25*ln(ln(x))))*csgn(I*(x^2+(ln(ln(x))+80/3)*x+25*ln(ln(x)))^2)^2-1/2*I*Pi*x^2*csgn(I*(x^2+(ln(ln(x))+80/3)*x+25*ln(ln(x)))^2)^3+1/2*I*Pi*x^2*csgn(I*(x^2+(ln(ln(x))+80/3)*x+25*ln(ln(x)))^2)*csgn(I/(x+25)^2*(x^2+(ln(ln(x))+80/3)*x+25*ln(ln(x)))^2)^2-1/2*I*Pi*x^2*csgn(I/(x+25)^2*(x^2+(ln(ln(x))+80/3)*x+25*ln(ln(x)))^2)^3","C"
256,1,49,30,0.330000," ","int((((2*x-12)*ln(2)-2*x^2+12*x)*ln(-x+6)^2+(-3*x^3+18*x^2)*ln(2)*ln(-x+6)+x^3*ln(2))/(((2*x^2-13*x+6)*ln(2)-x^3+6*x^2)*ln(-x+6)^2+(-x^4+6*x^3)*ln(2)*ln(-x+6)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left(-x +6\right)\right)+\ln \left(x^{3} \ln \left(2\right)-2 \ln \left(2\right) \ln \left(-x +6\right) x +\ln \left(-x +6\right) x^{2}+\ln \left(2\right) \ln \left(-x +6\right)\right)$&$49$\\ risch&$\ln \left(-2 x \ln \left(2\right)+x^{2}+\ln \left(2\right)\right)-\ln \left(\ln \left(-x +6\right)\right)+\ln \left(\ln \left(-x +6\right)-\frac{x^{3} \ln \left(2\right)}{2 x \ln \left(2\right)-x^{2}-\ln \left(2\right)}\right)$&$55$\\ \hline \end{longtable}"," ",0,"-ln(ln(-x+6))+ln(x^3*ln(2)-2*ln(2)*ln(-x+6)*x+ln(-x+6)*x^2+ln(2)*ln(-x+6))","A"
257,1,64,19,0.123000," ","int(1/9*((256*x+1024)*exp(x)^2+(-64*x^3-320*x^2+1024)*exp(2)*exp(x)+(-16*x^4-96*x^3-64*x^2+256*x)*exp(2)^2)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{128 x^{2}}{9}+\frac{1024 x}{9}+\frac{\left(64 x^{3} {\mathrm e}^{2}+512 x^{2} {\mathrm e}^{2}+1024 \,{\mathrm e}^{2} x \right) {\mathrm e}^{-x}}{9}+\frac{\left(8 x^{4} {\mathrm e}^{4}+64 x^{3} {\mathrm e}^{4}+128 x^{2} {\mathrm e}^{4}\right) {\mathrm e}^{-2 x}}{9}$&$64$\\ norman&$\left(\frac{1024 x \,{\mathrm e}^{2 x}}{9}+\frac{128 x^{2} {\mathrm e}^{4}}{9}+\frac{64 x^{3} {\mathrm e}^{4}}{9}+\frac{8 x^{4} {\mathrm e}^{4}}{9}+\frac{128 \,{\mathrm e}^{2 x} x^{2}}{9}+\frac{1024 x \,{\mathrm e}^{2} {\mathrm e}^{x}}{9}+\frac{512 x^{2} {\mathrm e}^{2} {\mathrm e}^{x}}{9}+\frac{64 x^{3} {\mathrm e}^{2} {\mathrm e}^{x}}{9}\right) {\mathrm e}^{-2 x}$&$75$\\ default&$\frac{128 x^{2}}{9}+\frac{1024 x}{9}-\frac{1024 \,{\mathrm e}^{2} {\mathrm e}^{-x}}{9}+\frac{256 \,{\mathrm e}^{4} \left(-\frac{x \,{\mathrm e}^{-2 x}}{2}-\frac{{\mathrm e}^{-2 x}}{4}\right)}{9}-\frac{64 \,{\mathrm e}^{4} \left(-\frac{x^{2} {\mathrm e}^{-2 x}}{2}-\frac{x \,{\mathrm e}^{-2 x}}{2}-\frac{{\mathrm e}^{-2 x}}{4}\right)}{9}-\frac{32 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{-2 x} x^{3}}{2}-\frac{3 x^{2} {\mathrm e}^{-2 x}}{4}-\frac{3 x \,{\mathrm e}^{-2 x}}{4}-\frac{3 \,{\mathrm e}^{-2 x}}{8}\right)}{3}-\frac{16 \,{\mathrm e}^{4} \left(-\frac{x^{4} {\mathrm e}^{-2 x}}{2}-{\mathrm e}^{-2 x} x^{3}-\frac{3 x^{2} {\mathrm e}^{-2 x}}{2}-\frac{3 x \,{\mathrm e}^{-2 x}}{2}-\frac{3 \,{\mathrm e}^{-2 x}}{4}\right)}{9}-\frac{320 \,{\mathrm e}^{2} \left(-x^{2} {\mathrm e}^{-x}-2 x \,{\mathrm e}^{-x}-2 \,{\mathrm e}^{-x}\right)}{9}-\frac{64 \,{\mathrm e}^{2} \left(-x^{3} {\mathrm e}^{-x}-3 x^{2} {\mathrm e}^{-x}-6 x \,{\mathrm e}^{-x}-6 \,{\mathrm e}^{-x}\right)}{9}$&$215$\\ \hline \end{longtable}"," ",0,"128/9*x^2+1024/9*x+1/9*(64*x^3*exp(2)+512*x^2*exp(2)+1024*exp(2)*x)*exp(-x)+1/9*(8*x^4*exp(4)+64*x^3*exp(4)+128*x^2*exp(4))*exp(-2*x)","B"
258,1,20,19,0.255000," ","int((-x+17)*exp(1/(ln(2*ln(2)/(x-16))+20*ln(5)+x))/((x-16)*ln(2*ln(2)/(x-16))^2+(2*(20*x-320)*ln(5)+2*x^2-32*x)*ln(2*ln(2)/(x-16))+4*(100*x-1600)*ln(5)^2+2*(20*x^2-320*x)*ln(5)+x^3-16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{1}{\ln \left(\frac{2 \ln \left(2\right)}{x -16}\right)+20 \ln \left(5\right)+x}}$&$20$\\ \hline \end{longtable}"," ",0,"exp(1/(ln(2*ln(2)/(x-16))+20*ln(5)+x))","A"
259,1,33,24,0.289000," ","int((-ln(exp(1)+8)*ln(2*ln(2)/x)+x^2*ln(exp(1)+8))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}+8\right) \ln \left(\frac{2 \ln \left(2\right)}{x}\right)}{x}+\frac{\ln \left({\mathrm e}+8\right) \left(x^{2}-1\right)}{x}$&$33$\\ derivativedivides&$\frac{\ln \left({\mathrm e}+8\right) \ln \left(\frac{2 \ln \left(2\right)}{x}\right)}{x}-\frac{\ln \left({\mathrm e}+8\right)}{x}+x \ln \left({\mathrm e}+8\right)$&$36$\\ default&$\frac{\ln \left({\mathrm e}+8\right) \ln \left(\frac{2 \ln \left(2\right)}{x}\right)}{x}-\frac{\ln \left({\mathrm e}+8\right)}{x}+x \ln \left({\mathrm e}+8\right)$&$36$\\ norman&$\frac{x^{2} \ln \left({\mathrm e}+8\right)+\ln \left({\mathrm e}+8\right) \ln \left(\frac{2 \ln \left(2\right)}{x}\right)-\ln \left({\mathrm e}+8\right)}{x}$&$36$\\ \hline \end{longtable}"," ",0,"ln(exp(1)+8)/x*ln(2*ln(2)/x)+ln(exp(1)+8)*(x^2-1)/x","A"
260,1,64,25,0.212000," ","int(((-x^4+20*x^3-150*x^2+500*x-625)*exp(x)^4+(4*x^5-80*x^4+600*x^3-2000*x^2+2500*x)*exp(x)^3+(-6*x^6+120*x^5-900*x^4+2998*x^3-3741*x^2+50*x-225)*exp(x)^2+(4*x^7-80*x^6+600*x^5-1998*x^4+2504*x^3-170*x^2+500*x)*exp(x)-x^8+20*x^7-150*x^6+500*x^5-638*x^4+120*x^3-275*x^2-20)/((x^4-20*x^3+150*x^2-500*x+625)*exp(x)^4+(-4*x^5+80*x^4-600*x^3+2000*x^2-2500*x)*exp(x)^3+(6*x^6-120*x^5+900*x^4-3000*x^3+3760*x^2-100*x+250)*exp(x)^2+(-4*x^7+80*x^6-600*x^5+2000*x^4-2520*x^3+200*x^2-500*x)*exp(x)+x^8-20*x^7+150*x^6-500*x^5+635*x^4-100*x^3+250*x^2+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{x}{{\mathrm e}^{2 x} x^{2}-2 \,{\mathrm e}^{x} x^{3}+x^{4}-10 x \,{\mathrm e}^{2 x}+20 \,{\mathrm e}^{x} x^{2}-10 x^{3}+25 \,{\mathrm e}^{2 x}-50 \,{\mathrm e}^{x} x +25 x^{2}+5}$&$64$\\ norman&$\frac{-25 x^{3}+10 x^{4}-25 x \,{\mathrm e}^{2 x}-20 \,{\mathrm e}^{x} x^{3}+10 \,{\mathrm e}^{2 x} x^{2}+50 \,{\mathrm e}^{x} x^{2}-4 x -x^{5}+2 \,{\mathrm e}^{x} x^{4}-{\mathrm e}^{2 x} x^{3}}{{\mathrm e}^{2 x} x^{2}-2 \,{\mathrm e}^{x} x^{3}+x^{4}-10 x \,{\mathrm e}^{2 x}+20 \,{\mathrm e}^{x} x^{2}-10 x^{3}+25 \,{\mathrm e}^{2 x}-50 \,{\mathrm e}^{x} x +25 x^{2}+5}$&$124$\\ \hline \end{longtable}"," ",0,"-x+x/(exp(2*x)*x^2-2*exp(x)*x^3+x^4-10*x*exp(2*x)+20*exp(x)*x^2-10*x^3+25*exp(2*x)-50*exp(x)*x+25*x^2+5)","B"
261,0,0,29,0.036000," ","int(((((-x^3-2*x^2+x+2)*ln(-x-2)+x^2-x)*ln(1-x)+(-x^2-2*x)*ln(-x-2))*exp(ln(ln(-x-2)/x/ln(1-x))-x)+(-x^3-x^2+2*x)*ln(-x-2)*ln(1-x))/(x^3+x^2-2*x)/ln(-x-2)/ln(1-x),x)","\[\int \frac{\left(\left(\left(-x^{3}-2 x^{2}+x +2\right) \ln \left(-x -2\right)+x^{2}-x \right) \ln \left(1-x \right)+\left(-x^{2}-2 x \right) \ln \left(-x -2\right)\right) {\mathrm e}^{\ln \left(\frac{\ln \left(-x -2\right)}{x \ln \left(1-x \right)}\right)-x}+\left(-x^{3}-x^{2}+2 x \right) \ln \left(-x -2\right) \ln \left(1-x \right)}{\left(x^{3}+x^{2}-2 x \right) \ln \left(-x -2\right) \ln \left(1-x \right)}\, dx\]"," ",0,"int(((((-x^3-2*x^2+x+2)*ln(-x-2)+x^2-x)*ln(1-x)+(-x^2-2*x)*ln(-x-2))*exp(ln(ln(-x-2)/x/ln(1-x))-x)+(-x^3-x^2+2*x)*ln(-x-2)*ln(1-x))/(x^3+x^2-2*x)/ln(-x-2)/ln(1-x),x)","F"
262,1,15,19,0.505000," ","int(((x^2+10*x+25)*ln(2)-1080*exp(4))/(x^2+10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(2\right)+\frac{1080 \,{\mathrm e}^{4}}{5+x}$&$15$\\ risch&$x \ln \left(2\right)+\frac{1080 \,{\mathrm e}^{4}}{5+x}$&$15$\\ gosper&$\frac{x^{2} \ln \left(2\right)+1080 \,{\mathrm e}^{4}-25 \ln \left(2\right)}{5+x}$&$22$\\ norman&$\frac{x^{2} \ln \left(2\right)+1080 \,{\mathrm e}^{4}-25 \ln \left(2\right)}{5+x}$&$22$\\ meijerg&$5 \ln \left(2\right) \left(\frac{x \left(\frac{3 x}{5}+6\right)}{15+3 x}-2 \ln \left(1+\frac{x}{5}\right)\right)+10 \ln \left(2\right) \left(-\frac{x}{5 \left(1+\frac{x}{5}\right)}+\ln \left(1+\frac{x}{5}\right)\right)+\frac{\ln \left(2\right) x}{1+\frac{x}{5}}-\frac{216 \,{\mathrm e}^{4} x}{5 \left(1+\frac{x}{5}\right)}$&$74$\\ \hline \end{longtable}"," ",0,"x*ln(2)+1080*exp(4)/(5+x)","A"
263,1,24,23,0.053000," ","int((-ln(x)^3+3*ln(x)^2+(-75*x^2+8)*ln(x)+325*x^2)/(x*ln(x)^3-4*x*ln(x)^2+25*x^3*ln(x)-100*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)-\ln \left(25 x^{2}+\ln \left(x \right)^{2}\right)+\ln \left(\ln \left(x \right)-4\right)$&$24$\\ risch&$-\ln \left(x \right)-\ln \left(25 x^{2}+\ln \left(x \right)^{2}\right)+\ln \left(\ln \left(x \right)-4\right)$&$24$\\ \hline \end{longtable}"," ",0,"-ln(x)-ln(25*x^2+ln(x)^2)+ln(ln(x)-4)","A"
264,1,20,18,0.078000," ","int(((8*x^2+32*x+24)*ln(x)*ln(x^2+4*x+3)^4+(32*x^2+64*x)*ln(x)^2*ln(x^2+4*x+3)^3+x^3+4*x^2+3*x)/(x^3+4*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(x \right)^{2} \ln \left(x^{2}+4 x +3\right)^{4}+x$&$20$\\ \hline \end{longtable}"," ",0,"4*ln(x)^2*ln(x^2+4*x+3)^4+x","A"
265,1,19,24,0.364000," ","int((((x-1)*exp(x-2)+5*x^2)*exp(exp(2))+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x \,{\mathrm e}^{{\mathrm e}^{2}}+x +\frac{{\mathrm e}^{{\mathrm e}^{2}+x -2}}{x}$&$19$\\ norman&$\frac{\left(5 \,{\mathrm e}^{{\mathrm e}^{2}}+1\right) x^{2}+{\mathrm e}^{x -2} {\mathrm e}^{{\mathrm e}^{2}}}{x}$&$25$\\ derivativedivides&$x -2+{\mathrm e}^{{\mathrm e}^{2}} \left(-\frac{{\mathrm e}^{x -2}}{x}-{\mathrm e}^{-2} \expIntegralEi \left(1, -x \right)\right)+{\mathrm e}^{{\mathrm e}^{2}} \left({\mathrm e}^{-2} \expIntegralEi \left(1, -x \right)+\frac{2 \,{\mathrm e}^{x -2}}{x}\right)+5 \,{\mathrm e}^{{\mathrm e}^{2}} \left(x -2\right)$&$57$\\ default&$x -2+{\mathrm e}^{{\mathrm e}^{2}} \left(-\frac{{\mathrm e}^{x -2}}{x}-{\mathrm e}^{-2} \expIntegralEi \left(1, -x \right)\right)+{\mathrm e}^{{\mathrm e}^{2}} \left({\mathrm e}^{-2} \expIntegralEi \left(1, -x \right)+\frac{2 \,{\mathrm e}^{x -2}}{x}\right)+5 \,{\mathrm e}^{{\mathrm e}^{2}} \left(x -2\right)$&$57$\\ \hline \end{longtable}"," ",0,"5*x*exp(exp(2))+x+1/x*exp(exp(2)+x-2)","A"
266,1,19,16,0.085000," ","int((x*ln(x)-ln(5)+exp(5)-15*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(x \right)+\left(-\ln \left(5\right)+{\mathrm e}^{5}\right) \ln \left(x \right)-16 x$&$19$\\ default&$x \ln \left(x \right)-16 x -\ln \left(5\right) \ln \left(x \right)+{\mathrm e}^{5} \ln \left(x \right)$&$20$\\ risch&$x \ln \left(x \right)-16 x -\ln \left(5\right) \ln \left(x \right)+{\mathrm e}^{5} \ln \left(x \right)$&$20$\\ \hline \end{longtable}"," ",0,"x*ln(x)+(-ln(5)+exp(5))*ln(x)-16*x","A"
267,1,28,24,0.559000," ","int((((1-2*x)*ln(5)+4*x+4)*exp(2*x)-2*ln(5)+4)/(24*x^2*ln(5)^2+(-96*x^2-144*x)*ln(5)+96*x^2+288*x+216),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-\frac{1}{18}+\frac{\ln \left(5\right)}{36}\right) x -\frac{{\mathrm e}^{2 x}}{24}}{x \ln \left(5\right)-2 x -3}$&$28$\\ risch&$\frac{1}{12 x \ln \left(5\right)-24 x -36}-\frac{{\mathrm e}^{2 x}}{24 \left(x \ln \left(5\right)-2 x -3\right)}$&$32$\\ derivativedivides&$-\frac{\ln \left(5\right) {\mathrm e}^{2 x}}{12 \left(\ln \left(5\right)-2\right)^{2} \left(2 x -\frac{6}{\ln \left(5\right)-2}\right)}-\frac{1}{3 \left(2-\ln \left(5\right)\right) \left(-2 x \ln \left(5\right)+4 x +6\right)}-\frac{{\mathrm e}^{2 x}}{3 \left(\ln \left(5\right)-2\right)^{2} \left(2 x -\frac{6}{\ln \left(5\right)-2}\right)}-\frac{{\mathrm e}^{\frac{6}{\ln \left(5\right)-2}} \expIntegralEi \left(1, -2 x +\frac{6}{\ln \left(5\right)-2}\right)}{2 \left(\ln \left(5\right)-2\right)^{2}}+\frac{\ln \left(5\right)}{6 \left(2-\ln \left(5\right)\right) \left(-2 x \ln \left(5\right)+4 x +6\right)}-\frac{{\mathrm e}^{2 x}}{\left(\ln \left(5\right)-2\right)^{3} \left(2 x -\frac{6}{\ln \left(5\right)-2}\right)}-\frac{{\mathrm e}^{\frac{6}{\ln \left(5\right)-2}} \expIntegralEi \left(1, -2 x +\frac{6}{\ln \left(5\right)-2}\right)}{\left(\ln \left(5\right)-2\right)^{3}}+\frac{\ln \left(5\right) {\mathrm e}^{2 x}}{2 \left(\ln \left(5\right)-2\right)^{3} \left(2 x -\frac{6}{\ln \left(5\right)-2}\right)}+\frac{\ln \left(5\right) {\mathrm e}^{\frac{6}{\ln \left(5\right)-2}} \expIntegralEi \left(1, -2 x +\frac{6}{\ln \left(5\right)-2}\right)}{2 \left(\ln \left(5\right)-2\right)^{3}}$&$251$\\ default&$-\frac{\ln \left(5\right) {\mathrm e}^{2 x}}{12 \left(\ln \left(5\right)-2\right)^{2} \left(2 x -\frac{6}{\ln \left(5\right)-2}\right)}-\frac{1}{3 \left(2-\ln \left(5\right)\right) \left(-2 x \ln \left(5\right)+4 x +6\right)}-\frac{{\mathrm e}^{2 x}}{3 \left(\ln \left(5\right)-2\right)^{2} \left(2 x -\frac{6}{\ln \left(5\right)-2}\right)}-\frac{{\mathrm e}^{\frac{6}{\ln \left(5\right)-2}} \expIntegralEi \left(1, -2 x +\frac{6}{\ln \left(5\right)-2}\right)}{2 \left(\ln \left(5\right)-2\right)^{2}}+\frac{\ln \left(5\right)}{6 \left(2-\ln \left(5\right)\right) \left(-2 x \ln \left(5\right)+4 x +6\right)}-\frac{{\mathrm e}^{2 x}}{\left(\ln \left(5\right)-2\right)^{3} \left(2 x -\frac{6}{\ln \left(5\right)-2}\right)}-\frac{{\mathrm e}^{\frac{6}{\ln \left(5\right)-2}} \expIntegralEi \left(1, -2 x +\frac{6}{\ln \left(5\right)-2}\right)}{\left(\ln \left(5\right)-2\right)^{3}}+\frac{\ln \left(5\right) {\mathrm e}^{2 x}}{2 \left(\ln \left(5\right)-2\right)^{3} \left(2 x -\frac{6}{\ln \left(5\right)-2}\right)}+\frac{\ln \left(5\right) {\mathrm e}^{\frac{6}{\ln \left(5\right)-2}} \expIntegralEi \left(1, -2 x +\frac{6}{\ln \left(5\right)-2}\right)}{2 \left(\ln \left(5\right)-2\right)^{3}}$&$251$\\ \hline \end{longtable}"," ",0,"((-1/18+1/36*ln(5))*x-1/24*exp(2*x))/(x*ln(5)-2*x-3)","A"
268,1,24,20,0.056000," ","int((x*exp(x)*ln(x)^3+(-4*exp(x)^2+exp(x))*ln(x)^2+(16*x*exp(x)^2-8*exp(x)*x+x)*ln(x)-16*x*exp(x)^2+8*exp(x)*x-x)/(16*x*exp(x)^2-8*exp(x)*x+x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right)}{4 \left(4 \,{\mathrm e}^{x}-1\right)}-\frac{\ln \left(x \right)}{4}+\frac{x}{\ln \left(x \right)}$&$24$\\ \hline \end{longtable}"," ",0,"-1/4/(4*exp(x)-1)*ln(x)-1/4*ln(x)+x/ln(x)","A"
269,1,20,27,0.489000," ","int(((-5*x^2-10*x-5)*exp(5*x+10)+(x^2+2*x+1)*exp(x)+x^2+2*x-2)/(x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{3}{x +1}-{\mathrm e}^{5 x +10}+{\mathrm e}^{x}$&$20$\\ norman&$\frac{x^{2}+{\mathrm e}^{x} x -{\mathrm e}^{5 x} {\mathrm e}^{10}-{\mathrm e}^{5 x} {\mathrm e}^{10} x +2+{\mathrm e}^{x}}{x +1}$&$35$\\ default&$x +\frac{3}{x +1}+{\mathrm e}^{x}-5 \,{\mathrm e}^{10} \left(-\frac{{\mathrm e}^{5 x}}{x +1}-5 \,{\mathrm e}^{-5} \expIntegralEi \left(1, -5 x -5\right)\right)-10 \,{\mathrm e}^{10} \left(4 \,{\mathrm e}^{-5} \expIntegralEi \left(1, -5 x -5\right)+\frac{{\mathrm e}^{5 x}}{x +1}\right)-5 \,{\mathrm e}^{10} \left(\frac{{\mathrm e}^{5 x}}{5}-3 \,{\mathrm e}^{-5} \expIntegralEi \left(1, -5 x -5\right)-\frac{{\mathrm e}^{5 x}}{x +1}\right)$&$98$\\ \hline \end{longtable}"," ",0,"x+3/(x+1)-exp(5*x+10)+exp(x)","A"
270,1,32,27,0.332000," ","int(((-x^2+3*x)*ln(x)+(-3*x+6)*exp(5)^2+(-7*x^2+16*x-3)*exp(5)-3*x^3+7*x^2-3*x)/((x^2-3*x)*exp(5)^2+(2*x^3-6*x^2)*exp(5)+x^4-3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(1-2 \,{\mathrm e}^{5}\right) \ln \left(x \right)-2 x \ln \left(x \right)+{\mathrm e}^{5}}{{\mathrm e}^{5}+x}-\ln \left(x -3\right)$&$32$\\ risch&$\frac{\ln \left(x \right)}{{\mathrm e}^{5}+x}-\frac{2 \ln \left(-x \right) {\mathrm e}^{5}+\ln \left(x -3\right) {\mathrm e}^{5}+2 \ln \left(-x \right) x +\ln \left(x -3\right) x -{\mathrm e}^{5}}{{\mathrm e}^{5}+x}$&$52$\\ default&$-\frac{\ln \left(x \right) \left(\ln \left(\frac{{\mathrm e}^{5}-\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+x}{{\mathrm e}^{5}-\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)-\ln \left(\frac{{\mathrm e}^{5}+\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+x}{{\mathrm e}^{5}+\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)\right)}{2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}-\frac{\dilog \left(\frac{{\mathrm e}^{5}-\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+x}{{\mathrm e}^{5}-\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)}{2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}+\frac{\dilog \left(\frac{{\mathrm e}^{5}+\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+x}{{\mathrm e}^{5}+\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)}{2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}+\frac{{\mathrm e}^{5}}{{\mathrm e}^{5}+x}-\frac{\ln \left({\mathrm e}^{5}+x \right)}{{\mathrm e}^{5}}-2 \ln \left(x \right)+\frac{\ln \left(x \right)}{{\mathrm e}^{5}}-\ln \left(x -3\right)$&$223$\\ \hline \end{longtable}"," ",0,"((1-2*exp(5))*ln(x)-2*x*ln(x)+exp(5))/(exp(5)+x)-ln(x-3)","A"
271,0,0,28,0.148000," ","int(((exp(2)+4*x)*ln((-exp(2)-4*x)/x)*ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x))*ln(ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x)))+(-5*exp(2)-20*x)*ln((-exp(2)-4*x)/x)*ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x))-exp(2))/((exp(2)+4*x)*ln((-exp(2)-4*x)/x)*ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x))*ln(ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x)))^2+(-10*exp(2)-40*x)*ln((-exp(2)-4*x)/x)*ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x))*ln(ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x)))+(25*exp(2)+100*x)*ln((-exp(2)-4*x)/x)*ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x))),x)","\[\int \frac{\left({\mathrm e}^{2}+4 x \right) \ln \left(\frac{-{\mathrm e}^{2}-4 x}{x}\right) \ln \left(\frac{{\mathrm e}^{2-{\mathrm e}^{4}}}{\ln \left(\frac{-{\mathrm e}^{2}-4 x}{x}\right)}\right) \ln \left(\ln \left(\frac{{\mathrm e}^{2-{\mathrm e}^{4}}}{\ln \left(\frac{-{\mathrm e}^{2}-4 x}{x}\right)}\right)\right)+\left(-5 \,{\mathrm e}^{2}-20 x \right) \ln \left(\frac{-{\mathrm e}^{2}-4 x}{x}\right) \ln \left(\frac{{\mathrm e}^{2-{\mathrm e}^{4}}}{\ln \left(\frac{-{\mathrm e}^{2}-4 x}{x}\right)}\right)-{\mathrm e}^{2}}{\left({\mathrm e}^{2}+4 x \right) \ln \left(\frac{-{\mathrm e}^{2}-4 x}{x}\right) \ln \left(\frac{{\mathrm e}^{2-{\mathrm e}^{4}}}{\ln \left(\frac{-{\mathrm e}^{2}-4 x}{x}\right)}\right) \ln \left(\ln \left(\frac{{\mathrm e}^{2-{\mathrm e}^{4}}}{\ln \left(\frac{-{\mathrm e}^{2}-4 x}{x}\right)}\right)\right)^{2}+\left(-10 \,{\mathrm e}^{2}-40 x \right) \ln \left(\frac{-{\mathrm e}^{2}-4 x}{x}\right) \ln \left(\frac{{\mathrm e}^{2-{\mathrm e}^{4}}}{\ln \left(\frac{-{\mathrm e}^{2}-4 x}{x}\right)}\right) \ln \left(\ln \left(\frac{{\mathrm e}^{2-{\mathrm e}^{4}}}{\ln \left(\frac{-{\mathrm e}^{2}-4 x}{x}\right)}\right)\right)+\left(25 \,{\mathrm e}^{2}+100 x \right) \ln \left(\frac{-{\mathrm e}^{2}-4 x}{x}\right) \ln \left(\frac{{\mathrm e}^{2-{\mathrm e}^{4}}}{\ln \left(\frac{-{\mathrm e}^{2}-4 x}{x}\right)}\right)}\, dx\]"," ",0,"int(((exp(2)+4*x)*ln((-exp(2)-4*x)/x)*ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x))*ln(ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x)))+(-5*exp(2)-20*x)*ln((-exp(2)-4*x)/x)*ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x))-exp(2))/((exp(2)+4*x)*ln((-exp(2)-4*x)/x)*ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x))*ln(ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x)))^2+(-10*exp(2)-40*x)*ln((-exp(2)-4*x)/x)*ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x))*ln(ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x)))+(25*exp(2)+100*x)*ln((-exp(2)-4*x)/x)*ln(1/exp(exp(4)-2)/ln((-exp(2)-4*x)/x))),x)","F"
272,1,21,20,0.246000," ","int(((4*x^3+2*x^2)*exp(x)^2*ln(4*x+2)^2+((-40*x^3-20*x^2)*exp(x)^2+120*x+60)*ln(4*x+2)+(100*x^3+50*x^2)*exp(x)^2-480*x-300)/((2*x^3+x^2)*ln(4*x+2)^2+(-20*x^3-10*x^2)*ln(4*x+2)+50*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x}-\frac{60}{\left(\ln \left(4 x +2\right)-5\right) x}$&$21$\\ \hline \end{longtable}"," ",0,"exp(2*x)-60/(ln(4*x+2)-5)/x","A"
273,1,10,13,0.031000," ","int((5*x^4+2)*exp(x^5+2*x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{x^{5}+2 x +2}$&$10$\\ derivativedivides&${\mathrm e}^{x^{5}+2 x +2}$&$10$\\ default&${\mathrm e}^{x^{5}+2 x +2}$&$10$\\ norman&${\mathrm e}^{x^{5}+2 x +2}$&$10$\\ risch&${\mathrm e}^{x^{5}+2 x +2}$&$10$\\ \hline \end{longtable}"," ",0,"exp(x^5+2*x+2)","A"
274,1,178,31,0.162000," ","int(((40*x^2*ln(2)*exp(x)-120*x)*ln((-x*ln(2)*exp(x)+3)/x/ln(2))+(10*x^5-20*x^3)*ln(2)*exp(x)+30*x^3-60*x)/((x^5-4*x^3+4*x)*ln(2)*exp(x)-3*x^4+12*x^2-12)/ln((-x*ln(2)*exp(x)+3)/x/ln(2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{20 i x^{2}}{\left(x^{2}-2\right) \left(2 \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right) {\mathrm e}^{x}-3\right)}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \ln \left(2\right) {\mathrm e}^{x}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right) {\mathrm e}^{x}-3\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right) {\mathrm e}^{x}-3\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x \ln \left(2\right) {\mathrm e}^{x}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right) {\mathrm e}^{x}-3\right)}{x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right) {\mathrm e}^{x}-3\right)}{x}\right)^{3}-2 \pi -2 i \ln \left(\ln \left(2\right)\right)-2 i \ln \left(x \right)+2 i \ln \left(x \ln \left(2\right) {\mathrm e}^{x}-3\right)\right)}$&$178$\\ \hline \end{longtable}"," ",0,"-20*I*x^2/(x^2-2)/(2*Pi*csgn(I/x*(x*ln(2)*exp(x)-3))^2+Pi*csgn(I/x)*csgn(I*(x*ln(2)*exp(x)-3))*csgn(I/x*(x*ln(2)*exp(x)-3))-Pi*csgn(I/x)*csgn(I/x*(x*ln(2)*exp(x)-3))^2-Pi*csgn(I*(x*ln(2)*exp(x)-3))*csgn(I/x*(x*ln(2)*exp(x)-3))^2-Pi*csgn(I/x*(x*ln(2)*exp(x)-3))^3-2*Pi-2*I*ln(ln(2))-2*I*ln(x)+2*I*ln(x*ln(2)*exp(x)-3))","C"
275,1,42,22,0.195000," ","int(((3*x^2-27*x+36)*exp(1)*exp(1/4*x-1/2)+(16*x^2-144*x+144)*exp(1))*exp(x)/(12*x^2*exp(1/4*x-1/2)^2+96*x^2*exp(1/4*x-1/2)+192*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-3 \,{\mathrm e} \,{\mathrm e}^{\frac{1}{2}} {\mathrm e}^{x}+\frac{{\mathrm e} \,{\mathrm e}^{\frac{1}{2}} x \,{\mathrm e}^{x}}{3}}{x \left(4 \,{\mathrm e}^{\frac{1}{2}}+{\mathrm e}^{\frac{x}{4}}\right)}$&$42$\\ risch&$\frac{192 \,{\mathrm e}^{3}}{x}+\frac{\left(x -9\right) {\mathrm e}^{\frac{3}{2}+\frac{3 x}{4}}}{3 x}-\frac{4 \left(x -9\right) {\mathrm e}^{2+\frac{x}{2}}}{3 x}+\frac{16 \left(x -9\right) {\mathrm e}^{\frac{5}{2}+\frac{x}{4}}}{3 x}+\frac{256 \,{\mathrm e}^{3} \left(x -9\right)}{3 x \left(4+{\mathrm e}^{\frac{x}{4}-\frac{1}{2}}\right)}$&$71$\\ \hline \end{longtable}"," ",0,"(-3*exp(1)*exp(1/2)*exp(1/4*x)^4+1/3*exp(1)*exp(1/2)*x*exp(1/4*x)^4)/x/(4*exp(1/2)+exp(1/4*x))","A"
276,1,13,12,0.015000," ","int((3*x+9)*exp(x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x} \left(6+3 x \right)-x$&$13$\\ default&$-x +3 \,{\mathrm e}^{x} x +6 \,{\mathrm e}^{x}$&$14$\\ norman&$-x +3 \,{\mathrm e}^{x} x +6 \,{\mathrm e}^{x}$&$14$\\ \hline \end{longtable}"," ",0,"exp(x)*(6+3*x)-x","A"
277,1,323,21,1.647000," ","int(ln(exp(1/2*x^2)/x^2)^4+(4*x^2-8)*ln(exp(1/2*x^2)/x^2)^3+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x +\frac{x^{9}}{16}-x^{7} \ln \left(x \right)-16 x^{3} \ln \left(x \right)^{3}+16 x \ln \left(x \right)^{4}+\frac{\left(\ln \left(\frac{{\mathrm e}^{\frac{x^{2}}{2}}}{x^{2}}\right)-\frac{x^{2}}{2}+2 \ln \left(x \right)\right) x^{7}}{2}+\left(\ln \left(\frac{{\mathrm e}^{\frac{x^{2}}{2}}}{x^{2}}\right)-\frac{x^{2}}{2}+2 \ln \left(x \right)\right)^{4} x +\frac{3 \left(\ln \left(\frac{{\mathrm e}^{\frac{x^{2}}{2}}}{x^{2}}\right)-\frac{x^{2}}{2}+2 \ln \left(x \right)\right)^{2} x^{5}}{2}+2 \left(\ln \left(\frac{{\mathrm e}^{\frac{x^{2}}{2}}}{x^{2}}\right)-\frac{x^{2}}{2}+2 \ln \left(x \right)\right)^{3} x^{3}+6 x^{5} \ln \left(x \right)^{2}+24 \left(\ln \left(\frac{{\mathrm e}^{\frac{x^{2}}{2}}}{x^{2}}\right)-\frac{x^{2}}{2}+2 \ln \left(x \right)\right) x^{3} \ln \left(x \right)^{2}-12 \left(\ln \left(\frac{{\mathrm e}^{\frac{x^{2}}{2}}}{x^{2}}\right)-\frac{x^{2}}{2}+2 \ln \left(x \right)\right)^{2} x^{3} \ln \left(x \right)+24 \ln \left(x \right)^{2} x \left(\ln \left(\frac{{\mathrm e}^{\frac{x^{2}}{2}}}{x^{2}}\right)-\frac{x^{2}}{2}+2 \ln \left(x \right)\right)^{2}-6 \left(\ln \left(\frac{{\mathrm e}^{\frac{x^{2}}{2}}}{x^{2}}\right)-\frac{x^{2}}{2}+2 \ln \left(x \right)\right) x^{5} \ln \left(x \right)-8 \ln \left(x \right) x \left(\ln \left(\frac{{\mathrm e}^{\frac{x^{2}}{2}}}{x^{2}}\right)-\frac{x^{2}}{2}+2 \ln \left(x \right)\right)^{3}-32 \ln \left(x \right)^{3} x \left(\ln \left(\frac{{\mathrm e}^{\frac{x^{2}}{2}}}{x^{2}}\right)-\frac{x^{2}}{2}+2 \ln \left(x \right)\right)$&$323$\\ risch&$\text{Expression too large to display}$&$17452$\\ \hline \end{longtable}"," ",0,"3*x+1/16*x^9-x^7*ln(x)-16*x^3*ln(x)^3+16*x*ln(x)^4+1/2*(ln(exp(1/2*x^2)/x^2)-1/2*x^2+2*ln(x))*x^7+(ln(exp(1/2*x^2)/x^2)-1/2*x^2+2*ln(x))^4*x+3/2*(ln(exp(1/2*x^2)/x^2)-1/2*x^2+2*ln(x))^2*x^5+2*(ln(exp(1/2*x^2)/x^2)-1/2*x^2+2*ln(x))^3*x^3+6*x^5*ln(x)^2+24*(ln(exp(1/2*x^2)/x^2)-1/2*x^2+2*ln(x))*x^3*ln(x)^2-12*(ln(exp(1/2*x^2)/x^2)-1/2*x^2+2*ln(x))^2*x^3*ln(x)+24*ln(x)^2*x*(ln(exp(1/2*x^2)/x^2)-1/2*x^2+2*ln(x))^2-6*(ln(exp(1/2*x^2)/x^2)-1/2*x^2+2*ln(x))*x^5*ln(x)-8*ln(x)*x*(ln(exp(1/2*x^2)/x^2)-1/2*x^2+2*ln(x))^3-32*ln(x)^3*x*(ln(exp(1/2*x^2)/x^2)-1/2*x^2+2*ln(x))","B"
278,1,14,13,0.064000," ","int(1/2*(-147*x^5+6*x^2)*exp(x^3)/exp(49/4*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{x^{3}} {\mathrm e}^{-\frac{49 x^{6}}{4}}$&$14$\\ norman&${\mathrm e}^{x^{3}} {\mathrm e}^{-\frac{49 x^{6}}{4}}$&$14$\\ risch&${\mathrm e}^{-\frac{x^{3} \left(49 x^{3}-4\right)}{4}}$&$14$\\ \hline \end{longtable}"," ",0,"exp(x^3)/exp(49/4*x^6)","A"
279,1,31,25,0.326000," ","int(((16*exp(3)*ln(2)+(-2*x+5)*exp(3)^2)*ln(x)-16*exp(3)*ln(2)+(3*x^2+x-5)*exp(3)^2)/(256*x^2*ln(2)^2+(-32*x^3+160*x^2)*exp(3)*ln(2)+(x^4-10*x^3+25*x^2)*exp(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(x \right) {\mathrm e}^{3}-3 x \,{\mathrm e}^{3}}{x \left(x \,{\mathrm e}^{3}-5 \,{\mathrm e}^{3}-16 \ln \left(2\right)\right)}$&$31$\\ risch&$\frac{{\mathrm e}^{3} \ln \left(x \right)}{\left(x \,{\mathrm e}^{3}-5 \,{\mathrm e}^{3}-16 \ln \left(2\right)\right) x}-\frac{3 \,{\mathrm e}^{3}}{x \,{\mathrm e}^{3}-5 \,{\mathrm e}^{3}-16 \ln \left(2\right)}$&$44$\\ default&$\text{Expression too large to display}$&$2282$\\ \hline \end{longtable}"," ",0,"(ln(x)*exp(3)-3*x*exp(3))/x/(x*exp(3)-5*exp(3)-16*ln(2))","A"
280,1,1095,22,0.975000," ","int((ln(x)*ln(ln(x)/x)^3+3*x*ln(x)*ln(ln(x)/x)^2+(3*x^2-4*x)*ln(x)*ln(ln(x)/x)+(x^3-4*x)*ln(x)+4*x)/((x-5)*ln(x)*ln(ln(x)/x)^3+(3*x^2-15*x)*ln(x)*ln(ln(x)/x)^2+(3*x^3-17*x^2)*ln(x)*ln(ln(x)/x)+(x^4-7*x^3)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x -5\right)-2 \ln \left(\ln \left(\ln \left(x \right)\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}+2 i x -2 i \ln \left(x \right)\right)}{2}\right)+\ln \left(\ln \left(\ln \left(x \right)\right)^{2}+\left(-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}+2 x -2 \ln \left(x \right)\right) \ln \left(\ln \left(x \right)\right)-\frac{8 x^{2} \ln \left(x \right)-2 \pi^{2} x \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}+20 \ln \left(x \right)^{2}-4 x^{3}+28 x^{2}-4 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}-4 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}+20 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}+20 i \pi  x \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}-20 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}-20 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}-4 i \ln \left(x \right) \pi  x \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}-2 \pi^{2} x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}+4 \pi^{2} x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{4}+\pi^{2} x \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}-4 x \ln \left(x \right)^{2}-40 x \ln \left(x \right)-5 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}+10 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}+10 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}-20 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{4}+\pi^{2} x \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{4}-2 \pi^{2} x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{5}+\pi^{2} x \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{4}-2 \pi^{2} x \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{5}+20 i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}-20 i \pi  x \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}+4 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}+\pi^{2} x \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{6}-5 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{4}+10 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{5}-5 \pi^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{4}+10 \pi^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{5}-5 \pi^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{6}-20 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)+4 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)+4 i \ln \left(x \right) \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}+4 i \ln \left(x \right) \pi  x \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}+20 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)-4 i \ln \left(x \right) \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)}{4 \left(x -5\right)}\right)$&$1095$\\ \hline \end{longtable}"," ",0,"ln(x-5)-2*ln(ln(ln(x))-1/2*I*(Pi*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))-Pi*csgn(I/x)*csgn(I/x*ln(x))^2-Pi*csgn(I*ln(x))*csgn(I/x*ln(x))^2+Pi*csgn(I/x*ln(x))^3+2*I*x-2*I*ln(x)))+ln(ln(ln(x))^2+(-I*Pi*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))+I*Pi*csgn(I/x)*csgn(I/x*ln(x))^2+I*Pi*csgn(I*ln(x))*csgn(I/x*ln(x))^2-I*Pi*csgn(I/x*ln(x))^3+2*x-2*ln(x))*ln(ln(x))-1/4*(8*x^2*ln(x)+20*ln(x)^2-4*x^3+28*x^2-4*x*ln(x)^2-40*x*ln(x)-5*Pi^2*csgn(I/x)^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^2+10*Pi^2*csgn(I/x)^2*csgn(I*ln(x))*csgn(I/x*ln(x))^3+10*Pi^2*csgn(I/x)*csgn(I*ln(x))^2*csgn(I/x*ln(x))^3-20*Pi^2*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))^4+Pi^2*x*csgn(I/x)^2*csgn(I/x*ln(x))^4-2*Pi^2*x*csgn(I/x)*csgn(I/x*ln(x))^5+Pi^2*x*csgn(I*ln(x))^2*csgn(I/x*ln(x))^4-2*Pi^2*x*csgn(I*ln(x))*csgn(I/x*ln(x))^5+20*I*ln(x)*Pi*csgn(I/x*ln(x))^3-20*I*Pi*x*csgn(I/x*ln(x))^3+4*I*Pi*x^2*csgn(I/x*ln(x))^3-5*Pi^2*csgn(I/x*ln(x))^6+Pi^2*x*csgn(I/x*ln(x))^6-5*Pi^2*csgn(I/x)^2*csgn(I/x*ln(x))^4+10*Pi^2*csgn(I/x)*csgn(I/x*ln(x))^5-5*Pi^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^4+10*Pi^2*csgn(I*ln(x))*csgn(I/x*ln(x))^5-20*I*Pi*x*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))+4*I*Pi*x^2*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))+4*I*ln(x)*Pi*x*csgn(I/x)*csgn(I/x*ln(x))^2+4*I*ln(x)*Pi*x*csgn(I*ln(x))*csgn(I/x*ln(x))^2+20*I*ln(x)*Pi*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))-4*I*Pi*x^2*csgn(I/x)*csgn(I/x*ln(x))^2-4*I*Pi*x^2*csgn(I*ln(x))*csgn(I/x*ln(x))^2+20*I*Pi*x*csgn(I/x)*csgn(I/x*ln(x))^2+20*I*Pi*x*csgn(I*ln(x))*csgn(I/x*ln(x))^2-20*I*ln(x)*Pi*csgn(I/x)*csgn(I/x*ln(x))^2-20*I*ln(x)*Pi*csgn(I*ln(x))*csgn(I/x*ln(x))^2-4*I*ln(x)*Pi*x*csgn(I/x*ln(x))^3-2*Pi^2*x*csgn(I/x)*csgn(I*ln(x))^2*csgn(I/x*ln(x))^3+4*Pi^2*x*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))^4+Pi^2*x*csgn(I/x)^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^2-2*Pi^2*x*csgn(I/x)^2*csgn(I*ln(x))*csgn(I/x*ln(x))^3-4*I*ln(x)*Pi*x*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x)))/(x-5))","C"
281,1,29,23,0.034000," ","int((2*exp(x)^2+(-2*x-2)*exp(x)+(2*x+1)*exp(1)+2*x)/(exp(1)+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-2 \,{\mathrm e}^{x} x +\left(x^{2}+x \right) {\mathrm e}+x^{2}+{\mathrm e}^{2 x}}{{\mathrm e}+2}$&$29$\\ norman&$\frac{{\mathrm e}^{2 x}}{{\mathrm e}+2}+\frac{\left(1+{\mathrm e}\right) x^{2}}{{\mathrm e}+2}+\frac{{\mathrm e} x}{{\mathrm e}+2}-\frac{2 x \,{\mathrm e}^{x}}{{\mathrm e}+2}$&$48$\\ risch&$\frac{x^{2} {\mathrm e}}{{\mathrm e}+2}+\frac{{\mathrm e} x}{{\mathrm e}+2}+\frac{x^{2}}{{\mathrm e}+2}-\frac{2 x \,{\mathrm e}^{x}}{{\mathrm e}+2}+\frac{{\mathrm e}^{2 x}}{{\mathrm e}+2}$&$56$\\ \hline \end{longtable}"," ",0,"1/(exp(1)+2)*(-2*exp(x)*x+(x^2+x)*exp(1)+x^2+exp(x)^2)","A"
282,1,14,14,0.431000," ","int(((-324*x^4+324*x^3)*exp(ln(5/4)+x)-1296*x^3)/(25*exp(ln(5/4)+x)^5-500*exp(ln(5/4)+x)^4+4000*exp(ln(5/4)+x)^3-16000*exp(ln(5/4)+x)^2+32000*exp(ln(5/4)+x)-25600),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{81 x^{4}}{25 \left(\frac{5 \,{\mathrm e}^{x}}{4}-4\right)^{4}}$&$14$\\ norman&$\frac{81 x^{4}}{25 \left({\mathrm e}^{\ln \left(\frac{5}{4}\right)+x}-4\right)^{4}}$&$15$\\ \hline \end{longtable}"," ",0,"81/25*x^4/(5/4*exp(x)-4)^4","A"
283,1,67,22,0.317000," ","int(((((-x^2-25*x)*ln(x+25)-x^3-25*x^2)*ln(ln(x+25)^2+2*x*ln(x+25)+x^2)*ln(ln(ln(x+25)^2+2*x*ln(x+25)+x^2))+((-x-25)*exp(x)*ln(x+25)+(-x^2-25*x)*exp(x))*ln(ln(x+25)^2+2*x*ln(x+25)+x^2))*ln(x*ln(ln(ln(x+25)^2+2*x*ln(x+25)+x^2))+exp(x))+((x^2+30*x+125)*ln(x+25)+x^3+30*x^2+125*x)*ln(ln(x+25)^2+2*x*ln(x+25)+x^2)*ln(ln(ln(x+25)^2+2*x*ln(x+25)+x^2))+((x^2+30*x+125)*exp(x)*ln(x+25)+(x^3+30*x^2+125*x)*exp(x))*ln(ln(x+25)^2+2*x*ln(x+25)+x^2)+2*x^3+62*x^2+260*x)/(((x^4+35*x^3+275*x^2+625*x)*ln(x+25)+x^5+35*x^4+275*x^3+625*x^2)*ln(ln(x+25)^2+2*x*ln(x+25)+x^2)*ln(ln(ln(x+25)^2+2*x*ln(x+25)+x^2))+((x^3+35*x^2+275*x+625)*exp(x)*ln(x+25)+(x^4+35*x^3+275*x^2+625*x)*exp(x))*ln(ln(x+25)^2+2*x*ln(x+25)+x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \ln \left(2 \ln \left(\ln \left(x +25\right)+x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x +25\right)+x \right)^{2}\right) \left(-\mathrm{csgn}\left(i \left(\ln \left(x +25\right)+x \right)^{2}\right)+\mathrm{csgn}\left(i \left(\ln \left(x +25\right)+x \right)\right)\right)^{2}}{2}\right)+{\mathrm e}^{x}\right)}{5+x}$&$67$\\ \hline \end{longtable}"," ",0,"1/(5+x)*ln(x*ln(2*ln(ln(x+25)+x)-1/2*I*Pi*csgn(I*(ln(x+25)+x)^2)*(-csgn(I*(ln(x+25)+x)^2)+csgn(I*(ln(x+25)+x)))^2)+exp(x))","C"
284,1,24,29,0.090000," ","int(((6*x-4)*ln(x^2)^2+(11*x^2+17*x-16)*ln(x^2)+6*x^3+20*x^2+8*x-16)*exp(x/(2*ln(x^2)+2*x+4))/((2*x^5-4*x^4+2*x^3)*ln(x^2)^2+(4*x^6-12*x^4+8*x^3)*ln(x^2)+2*x^7+4*x^6-6*x^5-8*x^4+8*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{\frac{x}{2 \ln \left(x^{2}\right)+2 x +4}}}{x^{2} \left(x -1\right)}$&$24$\\ \hline \end{longtable}"," ",0,"-1/x^2/(x-1)*exp(1/2*x/(ln(x^2)+x+2))","A"
285,1,116,25,0.091000," ","int((((2*x^5+2*x^2-6*x)*ln(x)-2*x^5-2*x^2+6*x)*ln(x^8+2*x^5-6*x^4+x^2-6*x+9)+(8*x^5-2*x^4+8*x^2-26*x+6)*ln(x)^3+(8*x^5+2*x^2)*ln(x))/(x^4+x-3)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{2} \ln \left(x^{4}+x -3\right)}{\ln \left(x \right)^{2}}+\frac{x \left(-i \pi  x \mathrm{csgn}\left(i \left(x^{4}+x -3\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{4}+x -3\right)^{2}\right)+2 i \pi  x \,\mathrm{csgn}\left(i \left(x^{4}+x -3\right)\right) \mathrm{csgn}\left(i \left(x^{4}+x -3\right)^{2}\right)^{2}-i \pi  x \mathrm{csgn}\left(i \left(x^{4}+x -3\right)^{2}\right)^{3}+8 x \ln \left(x \right)^{2}-4 \ln \left(x \right)^{2}\right)}{2 \ln \left(x \right)^{2}}$&$116$\\ \hline \end{longtable}"," ",0,"2*x^2/ln(x)^2*ln(x^4+x-3)+1/2*x*(-I*Pi*x*csgn(I*(x^4+x-3))^2*csgn(I*(x^4+x-3)^2)+2*I*Pi*x*csgn(I*(x^4+x-3))*csgn(I*(x^4+x-3)^2)^2-I*Pi*x*csgn(I*(x^4+x-3)^2)^3+8*x*ln(x)^2-4*ln(x)^2)/ln(x)^2","C"
286,1,103,30,0.117000," ","int((((-2*x^2-2*x)*exp(x)^3+(4*x^3+16*x^2+16*x)*exp(x)^2+(24*x^2+24*x)*exp(x)-64*x^3-288*x^2-288*x)*ln(1/2*exp(x)+2)^2-5*exp(x))*exp(((-exp(x)^2*x^2+(4*x^3+12*x^2)*exp(x)-4*x^4-24*x^3-36*x^2-2)*ln(1/2*exp(x)+2)+5)/ln(1/2*exp(x)+2))/(exp(x)+4)/ln(1/2*exp(x)+2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{4 \,{\mathrm e}^{x} \ln \left(\frac{{\mathrm e}^{x}}{2}+2\right) x^{3}-4 \ln \left(\frac{{\mathrm e}^{x}}{2}+2\right) x^{4}-{\mathrm e}^{2 x} \ln \left(\frac{{\mathrm e}^{x}}{2}+2\right) x^{2}+12 \,{\mathrm e}^{x} \ln \left(\frac{{\mathrm e}^{x}}{2}+2\right) x^{2}-24 \ln \left(\frac{{\mathrm e}^{x}}{2}+2\right) x^{3}-36 \ln \left(\frac{{\mathrm e}^{x}}{2}+2\right) x^{2}-2 \ln \left(\frac{{\mathrm e}^{x}}{2}+2\right)+5}{\ln \left(\frac{{\mathrm e}^{x}}{2}+2\right)}}$&$103$\\ \hline \end{longtable}"," ",0,"exp((4*exp(x)*ln(1/2*exp(x)+2)*x^3-4*ln(1/2*exp(x)+2)*x^4-exp(2*x)*ln(1/2*exp(x)+2)*x^2+12*exp(x)*ln(1/2*exp(x)+2)*x^2-24*ln(1/2*exp(x)+2)*x^3-36*ln(1/2*exp(x)+2)*x^2-2*ln(1/2*exp(x)+2)+5)/ln(1/2*exp(x)+2))","B"
287,1,35,25,0.242000," ","int((((-2*x^4+6*x^3)*exp(3/x)^2+(-4*x^3+12*x^2)*exp(3/x)-3*x^3+3*x^2)*exp(x^2*exp(3/x)^2+4*x*exp(3/x)+4)-15*x^3+15*x^2)/(exp(x)^3*exp(x^2*exp(3/x)^2+4*x*exp(3/x)+4)^2+10*exp(x)^3*exp(x^2*exp(3/x)^2+4*x*exp(3/x)+4)+25*exp(x)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3} {\mathrm e}^{-3 x}}{{\mathrm e}^{x^{2} {\mathrm e}^{\frac{6}{x}}+4 x \,{\mathrm e}^{\frac{3}{x}}+4}+5}$&$35$\\ \hline \end{longtable}"," ",0,"x^3*exp(-3*x)/(exp(x^2*exp(6/x)+4*x*exp(3/x)+4)+5)","A"
288,1,22,18,0.030000," ","int((4*x^3-12*x-2)/(4*x^4+36*x^3+12*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(x \right)+\ln \left(4 x^{3}+36 x^{2}+12 x +1\right)$&$22$\\ norman&$-2 \ln \left(x \right)+\ln \left(4 x^{3}+36 x^{2}+12 x +1\right)$&$22$\\ risch&$-2 \ln \left(x \right)+\ln \left(4 x^{3}+36 x^{2}+12 x +1\right)$&$22$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+ln(4*x^3+36*x^2+12*x+1)","A"
289,1,26,22,0.023000," ","int(1/5*((-6*x^2-50)*ln(x)+20*x+100)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{6 x \ln \left(x \right)}{5}+\frac{6 x}{5}+\frac{10 \ln \left(x \right)}{x}-\frac{10}{x}+4 \ln \left(x \right)$&$26$\\ norman&$\frac{-10+4 x \ln \left(x \right)+\frac{6 x^{2}}{5}-\frac{6 x^{2} \ln \left(x \right)}{5}+10 \ln \left(x \right)}{x}$&$28$\\ risch&$-\frac{2 \left(3 x^{2}-25\right) \ln \left(x \right)}{5 x}+\frac{4 x \ln \left(x \right)+\frac{6 x^{2}}{5}-10}{x}$&$33$\\ \hline \end{longtable}"," ",0,"-6/5*x*ln(x)+6/5*x+10*ln(x)/x-10/x+4*ln(x)","A"
290,1,41,27,0.083000," ","int(1/16*((2*x*exp(x)^2+(-2*x^3-4*x^2)*exp(x)+4*x^4)*ln(x)+(2*x^2+x+1)*exp(x)^2+(-2*x^4-6*x^3-2*x^2)*exp(x)+5*x^5+x^4+16*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left({\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} x^{2}+x^{4}\right) \ln \left(x \right)}{16}+\frac{x^{5}}{16}-\frac{{\mathrm e}^{x} x^{3}}{8}+\frac{x \,{\mathrm e}^{2 x}}{16}+x$&$41$\\ default&$x -\frac{{\mathrm e}^{x} x^{3}}{8}-\frac{x^{2} {\mathrm e}^{x} \ln \left(x \right)}{8}+\frac{x \,{\mathrm e}^{2 x}}{16}+\frac{{\mathrm e}^{2 x} \ln \left(x \right)}{16}+\frac{x^{5}}{16}+\frac{x^{4} \ln \left(x \right)}{16}$&$46$\\ \hline \end{longtable}"," ",0,"1/16*(exp(2*x)-2*exp(x)*x^2+x^4)*ln(x)+1/16*x^5-1/8*exp(x)*x^3+1/16*x*exp(2*x)+x","A"
291,1,42,28,0.236000," ","int((((-4*x^4-20*x^3)*ln(2*ln(2))+4*x^4)*exp(ln(5+x)/ln(2*ln(2)))^2+((-4*x^5-20*x^4)*ln(2*ln(2))+4*x^5)*exp(ln(5+x)/ln(2*ln(2)))+(-2*x^5-10*x^4)*ln(2*ln(2)))/((5+x)*ln(2*ln(2))*exp(ln(5+x)/ln(2*ln(2)))^6+(6*x^2+30*x)*ln(2*ln(2))*exp(ln(5+x)/ln(2*ln(2)))^5+(15*x^3+78*x^2+15*x)*ln(2*ln(2))*exp(ln(5+x)/ln(2*ln(2)))^4+(20*x^4+112*x^3+60*x^2)*ln(2*ln(2))*exp(ln(5+x)/ln(2*ln(2)))^3+(15*x^5+93*x^4+93*x^3+15*x^2)*ln(2*ln(2))*exp(ln(5+x)/ln(2*ln(2)))^2+(6*x^6+42*x^5+66*x^4+30*x^3)*ln(2*ln(2))*exp(ln(5+x)/ln(2*ln(2)))+(x^7+8*x^6+18*x^5+16*x^4+5*x^3)*ln(2*ln(2))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{4}}{\left(x^{2}+2 x \left(5+x \right)^{\frac{1}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}}+\left(5+x \right)^{\frac{2}{\ln \left(2 \ln \left(2\right)\right)}}+x \right)^{2}}$&$42$\\ \hline \end{longtable}"," ",0,"-x^4/(x^2+2*x*(5+x)^(1/(ln(2)+ln(ln(2))))+((5+x)^(1/(ln(2)+ln(ln(2)))))^2+x)^2","A"
292,1,17,14,0.068000," ","int(1/4*(((-9*x-18)*exp(1)+54)*exp(x)-9*exp(1))*exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-9 x \,{\mathrm e}-18 \,{\mathrm e}+54\right) {\mathrm e}^{{\mathrm e}^{x}}}{4}$&$17$\\ norman&$\left(-\frac{9 \,{\mathrm e}}{2}+\frac{27}{2}\right) {\mathrm e}^{{\mathrm e}^{x}}-\frac{9 x \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{x}}}{4}$&$20$\\ \hline \end{longtable}"," ",0,"1/4*(-9*x*exp(1)-18*exp(1)+54)*exp(exp(x))","A"
293,1,107,21,0.100000," ","int((5*ln(x*exp(x-1))+(-10*x-5)*ln(x)+5*x-5)/(6*x*ln(x*exp(x-1))^2+(12*x^2-12*x)*ln(x*exp(x-1))+6*x^3-12*x^2+6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \ln \left(x \right)}{3 \left(-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x -1}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x -1}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x -1}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x -1}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x -1}\right)^{2}-i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x -1}\right)^{3}+2 x +2 \ln \left(x \right)+2 \ln \left({\mathrm e}^{x -1}\right)-2\right)}$&$107$\\ \hline \end{longtable}"," ",0,"5/3*ln(x)/(-I*Pi*csgn(I*x)*csgn(I*exp(x-1))*csgn(I*x*exp(x-1))+I*Pi*csgn(I*x)*csgn(I*x*exp(x-1))^2+I*Pi*csgn(I*exp(x-1))*csgn(I*x*exp(x-1))^2-I*Pi*csgn(I*x*exp(x-1))^3+2*x+2*ln(x)+2*ln(exp(x-1))-2)","C"
294,1,28,29,0.505000," ","int((((-8*ln(2)+2*x)*exp(x)+16*x*ln(2)-4*x^2)*ln((exp(x)-2*x)/(8*ln(2)-2*x)/exp(x))+2*exp(x)*x+4*(4*x^2-4*x)*ln(2)-4*x^3)/((4*x^2*ln(2)-x^3)*exp(x)-8*x^3*ln(2)+2*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \ln \left(\frac{\left({\mathrm e}^{x}-2 x \right) {\mathrm e}^{-x}}{8 \ln \left(2\right)-2 x}\right)}{x}$&$28$\\ risch&$-\frac{2 \ln \left({\mathrm e}^{x}\right)}{x}-\frac{-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x} \left(\frac{{\mathrm e}^{x}}{2}-x \right)}{\ln \left(2\right)-\frac{x}{4}}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x}}{2}-x \right)}{\ln \left(2\right)-\frac{x}{4}}\right)^{3}-i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(2\right)-\frac{x}{4}}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x}}{2}-x \right)}{\ln \left(2\right)-\frac{x}{4}}\right)^{2}+2 i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x} \left(\frac{{\mathrm e}^{x}}{2}-x \right)}{\ln \left(2\right)-\frac{x}{4}}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{x}}{2}-x \right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(2\right)-\frac{x}{4}}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x}}{2}-x \right)}{\ln \left(2\right)-\frac{x}{4}}\right)+i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x} \left(\frac{{\mathrm e}^{x}}{2}-x \right)}{\ln \left(2\right)-\frac{x}{4}}\right)^{3}+i \pi  \,\mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x}}{2}-x \right)}{\ln \left(2\right)-\frac{x}{4}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x} \left(\frac{{\mathrm e}^{x}}{2}-x \right)}{\ln \left(2\right)-\frac{x}{4}}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{x}}{2}-x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x}}{2}-x \right)}{\ln \left(2\right)-\frac{x}{4}}\right)^{2}-2 i \pi +i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x}}{2}-x \right)}{\ln \left(2\right)-\frac{x}{4}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x} \left(\frac{{\mathrm e}^{x}}{2}-x \right)}{\ln \left(2\right)-\frac{x}{4}}\right)+4 \ln \left(2\right)+2 \ln \left(\ln \left(2\right)-\frac{x}{4}\right)-2 \ln \left(x -\frac{{\mathrm e}^{x}}{2}\right)}{x}$&$396$\\ \hline \end{longtable}"," ",0,"2*ln((exp(x)-2*x)/(8*ln(2)-2*x)/exp(x))/x","A"
295,1,22,21,0.040000," ","int(((-64*x^2-64*x+768)*ln(x)+(64*x^2+64*x-768)*ln(1/3*x-1)+384*x+768)/((x^4-3*x^3)*ln(x)^3+(-3*x^4+9*x^3)*ln(1/3*x-1)*ln(x)^2+(3*x^4-9*x^3)*ln(1/3*x-1)^2*ln(x)+(-x^4+3*x^3)*ln(1/3*x-1)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{64 x +128}{x^{2} \left(\ln \left(x \right)-\ln \left(\frac{x}{3}-1\right)\right)^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"64*(2+x)/x^2/(ln(x)-ln(1/3*x-1))^2","A"
296,1,5,11,0.204000," ","int(1/(x-10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x -10\right)$&$5$\\ norman&$\ln \left(x -10\right)$&$5$\\ risch&$\ln \left(x -10\right)$&$5$\\ meijerg&$\ln \left(1-\frac{x}{10}\right)$&$7$\\ \hline \end{longtable}"," ",0,"ln(x-10)","A"
297,1,23,22,0.046000," ","int(((1-x)*exp(ln(3)-1/2*x)*ln(1-x)-2*exp(ln(3)-1/2*x)-4)/((6*x-6)*exp(ln(3)-1/2*x)+12*x-12)/ln(1-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(\ln \left(1-x \right)\right)}{3}+\frac{\ln \left({\mathrm e}^{\ln \left(3\right)-\frac{x}{2}}+2\right)}{3}$&$23$\\ risch&$-\frac{\ln \left(3\right)}{3}+\frac{\ln \left(3 \,{\mathrm e}^{-\frac{x}{2}}+2\right)}{3}-\frac{\ln \left(\ln \left(1-x \right)\right)}{3}$&$26$\\ \hline \end{longtable}"," ",0,"-1/3*ln(ln(1-x))+1/3*ln(exp(ln(3)-1/2*x)+2)","A"
298,1,24,19,0.409000," ","int(((-4*x^2*ln(2)*exp(-x^2*ln(2))^2-32*x^2*ln(2)*exp(-x^2*ln(2)))*ln(x)+(-36*x^2*ln(2)-1)*exp(-x^2*ln(2))^2+(-288*x^2*ln(2)-16)*exp(-x^2*ln(2))-64)/(x*ln(x)^2+18*x*ln(x)+81*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2^{-2 x^{2}}+16 \left(\frac{1}{2}\right)^{x^{2}}+64}{9+\ln \left(x \right)}$&$24$\\ \hline \end{longtable}"," ",0,"(((1/2)^(x^2))^2+16*(1/2)^(x^2)+64)/(9+ln(x))","A"
299,1,88,29,0.088000," ","int(((2*x^2+2*x-2)*exp(x)*ln(x)^4+(-4*x^2-8*x)*exp(x)*ln(x)^3+(2*x^2+8*x)*exp(x)*ln(x)^2-4*x*exp(x)*ln(x))/(((5*x^4-10*x^3+5*x^2)*exp(x)^2+(10*x^2-10*x)*exp(x)+5)*ln(x)^4+((-20*x^4+20*x^3)*exp(x)^2-20*exp(x)*x^2)*ln(x)^3+((30*x^4-10*x^3)*exp(x)^2+10*exp(x)*x^2)*ln(x)^2-20*x^4*exp(x)^2*ln(x)+5*exp(x)^2*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2}{5 \left({\mathrm e}^{x} x^{2}-{\mathrm e}^{x} x +1\right)}-\frac{2 x^{2} {\mathrm e}^{x} \left(2 \ln \left(x \right)-1\right)}{5 \left({\mathrm e}^{x} x^{2}-{\mathrm e}^{x} x +1\right) \left(x^{2} {\mathrm e}^{x} \ln \left(x \right)^{2}-x \,{\mathrm e}^{x} \ln \left(x \right)^{2}-2 x^{2} {\mathrm e}^{x} \ln \left(x \right)+{\mathrm e}^{x} x^{2}+\ln \left(x \right)^{2}\right)}$&$88$\\ \hline \end{longtable}"," ",0,"-2/5/(exp(x)*x^2-exp(x)*x+1)-2/5*x^2*exp(x)*(2*ln(x)-1)/(exp(x)*x^2-exp(x)*x+1)/(x^2*exp(x)*ln(x)^2-x*exp(x)*ln(x)^2-2*x^2*exp(x)*ln(x)+exp(x)*x^2+ln(x)^2)","B"
300,1,30,24,0.213000," ","int((((-x^3+5*x)*ln(2)*exp(5/x)+(2-x)*ln(2))*exp(x-2)*exp((x^2*exp(5/x)+1)*exp(x-2)/x^2)-x^3)/(x^3*ln(2)^2*exp((x^2*exp(5/x)+1)*exp(x-2)/x^2)^2+(2*x^4+10*x^3)*ln(2)*exp((x^2*exp(5/x)+1)*exp(x-2)/x^2)+x^5+10*x^4+25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{\ln \left(2\right) {\mathrm e}^{\frac{\left(x^{2} {\mathrm e}^{\frac{5}{x}}+1\right) {\mathrm e}^{x -2}}{x^{2}}}+x +5}$&$30$\\ \hline \end{longtable}"," ",0,"1/(ln(2)*exp((x^2*exp(5/x)+1)*exp(x-2)/x^2)+x+5)","A"
301,1,36,25,0.122000," ","int(((2*x^2*ln(2*x)-2*x^3-2*x^2-2*x+2)*ln(4*x)+10*ln(2*x)-10*x-10)/(x*ln(2*x)-x^2-x)/ln(4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+2 \ln \left(\ln \left(x \right)-\frac{i \left(2 i \ln \left(2\right)-2 i x -2 i\right)}{2}\right)+10 \ln \left(\ln \left(x \right)+2 \ln \left(2\right)\right)$&$36$\\ \hline \end{longtable}"," ",0,"x^2+2*ln(ln(x)-1/2*I*(2*I*ln(2)-2*I*x-2*I))+10*ln(ln(x)+2*ln(2))","C"
302,1,36,19,0.060000," ","int(-4*ln(4*exp(x))^2+(-8*x-16)*ln(4*exp(x))-6*x-16,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-16 \ln \left(4 \,{\mathrm e}^{x}\right)-5 \ln \left(4 \,{\mathrm e}^{x}\right)^{2}-6 \ln \left(4 \,{\mathrm e}^{x}\right) x -4 x \ln \left(4 \,{\mathrm e}^{x}\right)^{2}$&$36$\\ default&$-16 x -4 \ln \left(4 \,{\mathrm e}^{x}\right) x^{2}-16 \ln \left(4 \,{\mathrm e}^{x}\right) x +\frac{4 x^{3}}{3}+5 x^{2}-\frac{4 \ln \left(4 \,{\mathrm e}^{x}\right)^{3}}{3}$&$42$\\ risch&$-16 x \ln \left(2\right)^{2}-16 \ln \left(2\right) \ln \left({\mathrm e}^{x}\right) x -4 x \ln \left({\mathrm e}^{x}\right)^{2}-32 x \ln \left(2\right)-16 \ln \left({\mathrm e}^{x}\right) x +5 x^{2}-16 x$&$44$\\ \hline \end{longtable}"," ",0,"-16*ln(4*exp(x))-5*ln(4*exp(x))^2-6*ln(4*exp(x))*x-4*x*ln(4*exp(x))^2","A"
303,1,52,28,0.771000," ","int((25*ln(2/x)^2-50*exp(1/25*x^2-2*x+25)*ln(2/x)+25*exp(1/25*x^2-2*x+25)^2+(-2*x^2+50*x)*exp(5)*exp(1/25*x^2-2*x+25)-25*exp(5))/((25*x*ln(2/x)^2-50*x*exp(1/25*x^2-2*x+25)*ln(2/x)+25*x*exp(1/25*x^2-2*x+25)^2)*ln(x)-25*x*exp(5)*ln(2/x)+25*x*exp(5)*exp(1/25*x^2-2*x+25)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\ln \left(x \right)+\frac{i \left(2 i \ln \left(2\right)-2 i {\mathrm e}^{\frac{\left(x -25\right)^{2}}{25}}\right)}{2}\right)+\ln \left(\ln \left(x \right)^{2}+\left({\mathrm e}^{\frac{\left(x -25\right)^{2}}{25}}-\ln \left(2\right)\right) \ln \left(x \right)+{\mathrm e}^{5}\right)$&$52$\\ \hline \end{longtable}"," ",0,"-ln(ln(x)+1/2*I*(2*I*ln(2)-2*I*exp(1/25*(x-25)^2)))+ln(ln(x)^2+(exp(1/25*(x-25)^2)-ln(2))*ln(x)+exp(5))","C"
304,1,36,27,0.157000," ","int(((x^2+16*x-16)*ln(1/5/x)*ln(ln(1/5/x))+(16*exp(5)-x^2-16*x+16)*ln(1/5/x)-x^2+x)/x^2/exp(4/x)^4/ln(1/5/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x -1\right) {\mathrm e}^{-\frac{16}{x}} \ln \left(-\ln \left(5\right)-\ln \left(x \right)\right)+\left({\mathrm e}^{5}-x +1\right) {\mathrm e}^{-\frac{16}{x}}$&$36$\\ \hline \end{longtable}"," ",0,"(x-1)*exp(-16/x)*ln(-ln(5)-ln(x))+(exp(5)-x+1)*exp(-16/x)","A"
305,1,32,28,0.193000," ","int(((4*x^6-5*x^5+x^4+26*x^3-46*x^2+20*x+64)*exp((-x^3-5*x^2)/(8*x^3-8*x^2+32))-8*x^7+20*x^6-16*x^5-60*x^4+96*x^3-32*x^2-128*x+64)*exp((x-1)*exp((-x^3-5*x^2)/(8*x^3-8*x^2+32))-x^2+x)/(4*x^6-8*x^5+4*x^4+32*x^3-32*x^2+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\left(x -1\right) \left(x -{\mathrm e}^{-\frac{x^{2} \left(5+x \right)}{8 \left(x^{3}-x^{2}+4\right)}}\right)}$&$32$\\ norman&$\frac{x^{3} {\mathrm e}^{\left(x -1\right) {\mathrm e}^{\frac{-x^{3}-5 x^{2}}{8 x^{3}-8 x^{2}+32}}-x^{2}+x}-x^{2} {\mathrm e}^{\left(x -1\right) {\mathrm e}^{\frac{-x^{3}-5 x^{2}}{8 x^{3}-8 x^{2}+32}}-x^{2}+x}+4 \,{\mathrm e}^{\left(x -1\right) {\mathrm e}^{\frac{-x^{3}-5 x^{2}}{8 x^{3}-8 x^{2}+32}}-x^{2}+x}}{x^{3}-x^{2}+4}$&$143$\\ \hline \end{longtable}"," ",0,"exp(-(x-1)*(x-exp(-1/8*x^2*(5+x)/(x^3-x^2+4))))","A"
306,1,14,13,0.023000," ","int(20480000*exp(exp(5)-4*x)/(exp(exp(5)-4*x)^3-9*exp(exp(5)-4*x)^2+27*exp(exp(5)-4*x)-27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{2560000}{\left({\mathrm e}^{{\mathrm e}^{5}-4 x}-3\right)^{2}}$&$14$\\ default&$\frac{2560000}{\left({\mathrm e}^{{\mathrm e}^{5}-4 x}-3\right)^{2}}$&$14$\\ norman&$\frac{2560000}{\left({\mathrm e}^{{\mathrm e}^{5}-4 x}-3\right)^{2}}$&$14$\\ risch&$\frac{2560000}{\left({\mathrm e}^{{\mathrm e}^{5}-4 x}-3\right)^{2}}$&$14$\\ \hline \end{longtable}"," ",0,"2560000/(exp(exp(5)-4*x)-3)^2","A"
307,1,100,27,0.247000," ","int((((-4*x+12)*exp(3)^2*ln(-x^2+3*x)+(4*x^2-12*x)*exp(3)^2)*ln(ln(-x^2+3*x)-x)+(-4*x^2+20*x-12)*exp(3)^2*ln(x)+(-x^2+5*x-3)*exp(3))/(((160*x^2-480*x)*exp(3)^2*ln(-x^2+3*x)+(-160*x^3+480*x^2)*exp(3)^2)*ln(x)^2+((80*x^2-240*x)*exp(3)*ln(-x^2+3*x)+(-80*x^3+240*x^2)*exp(3))*ln(x)+(10*x^2-30*x)*ln(-x^2+3*x)-10*x^3+30*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{3} \ln \left(i \pi +\ln \left(x \right)+\ln \left(x -3\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x -3\right)\right) \left(-\mathrm{csgn}\left(i x \left(x -3\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x -3\right)\right)+\mathrm{csgn}\left(i \left(x -3\right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(i x \left(x -3\right)\right)^{2} \left(\mathrm{csgn}\left(i x \left(x -3\right)\right)-1\right)-x \right)}{40 \ln \left(x \right) {\mathrm e}^{3}+10}$&$100$\\ \hline \end{longtable}"," ",0,"1/10*exp(3)/(4*ln(x)*exp(3)+1)*ln(I*Pi+ln(x)+ln(x-3)-1/2*I*Pi*csgn(I*x*(x-3))*(-csgn(I*x*(x-3))+csgn(I*x))*(-csgn(I*x*(x-3))+csgn(I*(x-3)))+I*Pi*csgn(I*x*(x-3))^2*(csgn(I*x*(x-3))-1)-x)","C"
308,1,35,23,0.036000," ","int(2*exp(x)^2+1/16*(-4*x^2-8*x-192)*exp(x)+2*ln(2)+1/16*x^3+3*x+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x +\frac{3 x^{2}}{2}+\frac{x^{4}}{64}+{\mathrm e}^{2 x}-\frac{{\mathrm e}^{x} x^{2}}{4}-12 \,{\mathrm e}^{x}+2 x \ln \left(2\right)$&$35$\\ norman&${\mathrm e}^{2 x}+x \left(2 \ln \left(2\right)+3\right)+\frac{3 x^{2}}{2}+\frac{x^{4}}{64}-\frac{{\mathrm e}^{x} x^{2}}{4}-12 \,{\mathrm e}^{x}$&$35$\\ risch&$3 x +\frac{3 x^{2}}{2}+\frac{x^{4}}{64}+{\mathrm e}^{2 x}-\frac{{\mathrm e}^{x} x^{2}}{4}-12 \,{\mathrm e}^{x}+2 x \ln \left(2\right)$&$35$\\ \hline \end{longtable}"," ",0,"3*x+3/2*x^2+1/64*x^4+exp(x)^2-1/4*exp(x)*x^2-12*exp(x)+2*x*ln(2)","A"
309,1,49,30,0.104000," ","int(1/2*((-2*x^5-6*x^4+12*x^3+16*x^2-40*x+32)*exp(x)^2+(-14*x^4-27*x^3+56*x^2-56*x)*exp(x)+x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{2}-\frac{\left(x^{4}+2 x^{3}-7 x^{2}-8 x +16\right) {\mathrm e}^{2 x}}{2 x^{2}}-\frac{\left(14 x^{2}+13 x -56\right) {\mathrm e}^{x}}{2 x}$&$49$\\ default&$\frac{x}{2}+\frac{7 \,{\mathrm e}^{2 x}}{2}-\frac{8 \,{\mathrm e}^{2 x}}{x^{2}}+\frac{4 \,{\mathrm e}^{2 x}}{x}-x \,{\mathrm e}^{2 x}+\frac{28 \,{\mathrm e}^{x}}{x}-7 \,{\mathrm e}^{x} x -\frac{13 \,{\mathrm e}^{x}}{2}-\frac{{\mathrm e}^{2 x} x^{2}}{2}$&$61$\\ norman&$\frac{\frac{x^{3}}{2}-8 \,{\mathrm e}^{2 x}+4 x \,{\mathrm e}^{2 x}+28 \,{\mathrm e}^{x} x -\frac{13 \,{\mathrm e}^{x} x^{2}}{2}-7 \,{\mathrm e}^{x} x^{3}+\frac{7 \,{\mathrm e}^{2 x} x^{2}}{2}-{\mathrm e}^{2 x} x^{3}-\frac{{\mathrm e}^{2 x} x^{4}}{2}}{x^{2}}$&$70$\\ \hline \end{longtable}"," ",0,"1/2*x-1/2*(x^4+2*x^3-7*x^2-8*x+16)/x^2*exp(2*x)-1/2*(14*x^2+13*x-56)/x*exp(x)","A"
310,1,33,31,0.049000," ","int((((x*exp(1-x)+2*x)*ln(x)^3+(exp(1-x)+1-2*x)*ln(x)^2+(-x^2*exp(1-x)-2*x^2)*ln(x)-x*exp(1-x)+2*x^2-x)*ln(ln(x)^2-x)+8*ln(x)^3+(-2*exp(1-x)-2)*ln(x)^2+(x*exp(1-x)-2*x^2+x)*ln(x))/(4*x*ln(x)^4+(-x*exp(1-x)+2*x^2-x)*ln(x)^3-4*x^2*ln(x)^2+(x^2*exp(1-x)-2*x^3+x^2)*ln(x))/ln(ln(x)^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\frac{x}{2}-\frac{{\mathrm e}^{1-x}}{4}+\ln \left(x \right)-\frac{1}{4}\right)-\ln \left(\ln \left(x \right)\right)+\ln \left(\ln \left(\ln \left(x \right)^{2}-x \right)\right)$&$33$\\ \hline \end{longtable}"," ",0,"ln(1/2*x-1/4*exp(1-x)+ln(x)-1/4)-ln(ln(x))+ln(ln(ln(x)^2-x))","A"
311,1,27,24,0.191000," ","int(((x^3-17*x^2+22*x+18)*exp(1/3*x)+4*x^9-6*x^8-40*x^7+32*x^6+96*x^5+40*x^4)/(2*x^8-8*x^7+16*x^5+8*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+5 x +\frac{3 \,{\mathrm e}^{\frac{x}{3}}}{2 x^{3} \left(x^{2}-2 x -2\right)}$&$27$\\ norman&$\frac{x^{7}-34 x^{4}-24 x^{3}+3 x^{6}+\frac{3 \,{\mathrm e}^{\frac{x}{3}}}{2}}{x^{3} \left(x^{2}-2 x -2\right)}$&$40$\\ derivativedivides&$-\frac{5 \left(6 x -6\right)}{9 \left(x^{2}-2 x -2\right)}-\frac{4 \left(2 x +4\right)}{x^{2}-2 x -2}+\frac{-\frac{32 x}{27}-\frac{16}{27}}{\frac{1}{9} x^{2}-\frac{2}{9} x -\frac{2}{9}}-\frac{1620 \left(-\frac{5 x}{2187}-\frac{4}{2187}\right)}{\frac{1}{9} x^{2}-\frac{2}{9} x -\frac{2}{9}}+5 x -\frac{36 \left(-\frac{7 x}{162}-\frac{5}{162}\right)}{\frac{1}{9} x^{2}-\frac{2}{9} x -\frac{2}{9}}+x^{2}+\frac{-\frac{76 x}{27}-\frac{56}{27}}{\frac{1}{9} x^{2}-\frac{2}{9} x -\frac{2}{9}}-\frac{3 \,{\mathrm e}^{\frac{x}{3}} \left(\frac{131}{9} x^{4}-\frac{310}{9} x^{3}-\frac{139}{9} x^{2}+\frac{11}{3} x -2\right)}{4 x^{3} \left(x^{2}-2 x -2\right)}+\frac{11 \,{\mathrm e}^{\frac{x}{3}} \left(\frac{16}{3} x^{3}-13 x^{2}-\frac{16}{3} x +2\right)}{8 x^{2} \left(x^{2}-2 x -2\right)}+\frac{17 \,{\mathrm e}^{\frac{x}{3}} \left(\frac{5}{3} x^{2}-\frac{11}{3} x -2\right)}{8 \left(x^{2}-2 x -2\right) x}+\frac{{\mathrm e}^{\frac{x}{3}} \left(x -4\right)}{24 x^{2}-48 x -48}$&$239$\\ default&$-\frac{5 \left(6 x -6\right)}{9 \left(x^{2}-2 x -2\right)}-\frac{4 \left(2 x +4\right)}{x^{2}-2 x -2}+\frac{-\frac{32 x}{27}-\frac{16}{27}}{\frac{1}{9} x^{2}-\frac{2}{9} x -\frac{2}{9}}-\frac{1620 \left(-\frac{5 x}{2187}-\frac{4}{2187}\right)}{\frac{1}{9} x^{2}-\frac{2}{9} x -\frac{2}{9}}+5 x -\frac{36 \left(-\frac{7 x}{162}-\frac{5}{162}\right)}{\frac{1}{9} x^{2}-\frac{2}{9} x -\frac{2}{9}}+x^{2}+\frac{-\frac{76 x}{27}-\frac{56}{27}}{\frac{1}{9} x^{2}-\frac{2}{9} x -\frac{2}{9}}-\frac{3 \,{\mathrm e}^{\frac{x}{3}} \left(\frac{131}{9} x^{4}-\frac{310}{9} x^{3}-\frac{139}{9} x^{2}+\frac{11}{3} x -2\right)}{4 x^{3} \left(x^{2}-2 x -2\right)}+\frac{11 \,{\mathrm e}^{\frac{x}{3}} \left(\frac{16}{3} x^{3}-13 x^{2}-\frac{16}{3} x +2\right)}{8 x^{2} \left(x^{2}-2 x -2\right)}+\frac{17 \,{\mathrm e}^{\frac{x}{3}} \left(\frac{5}{3} x^{2}-\frac{11}{3} x -2\right)}{8 \left(x^{2}-2 x -2\right) x}+\frac{{\mathrm e}^{\frac{x}{3}} \left(x -4\right)}{24 x^{2}-48 x -48}$&$239$\\ \hline \end{longtable}"," ",0,"x^2+5*x+3/2/x^3/(x^2-2*x-2)*exp(1/3*x)","A"
312,1,10,12,0.019000," ","int(1/10*(-ln(5)+5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\ln \left(5\right)-5}{10 x}$&$10$\\ norman&$\frac{\frac{\ln \left(5\right)}{10}-\frac{1}{2}}{x}$&$11$\\ default&$-\frac{-\frac{\ln \left(5\right)}{10}+\frac{1}{2}}{x}$&$12$\\ risch&$\frac{\ln \left(5\right)}{10 x}-\frac{1}{2 x}$&$14$\\ \hline \end{longtable}"," ",0,"1/10*(ln(5)-5)/x","A"
313,1,24,20,0.022000," ","int(1/4*(-ln(x)+4*ln(5)-4*x^2-14)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\frac{\ln \left(x \right)}{4 x}+\frac{15}{4 x}-\frac{\ln \left(5\right)}{x}$&$24$\\ risch&$\frac{\ln \left(x \right)}{4 x}-\frac{4 x^{2}+4 \ln \left(5\right)-15}{4 x}$&$25$\\ \hline \end{longtable}"," ",0,"-x+1/4*ln(x)/x+15/4/x-ln(5)/x","A"
314,1,17,17,0.015000," ","int(1/8*((-16*x-21)*exp(x)-16*x+16)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}-\frac{21 x}{8}+2 x \,{\mathrm e}^{-x}$&$17$\\ risch&$-x^{2}-\frac{21 x}{8}+2 x \,{\mathrm e}^{-x}$&$17$\\ norman&$\left(2 x -\frac{21 \,{\mathrm e}^{x} x}{8}-{\mathrm e}^{x} x^{2}\right) {\mathrm e}^{-x}$&$22$\\ \hline \end{longtable}"," ",0,"-x^2-21/8*x+2*x/exp(x)","A"
315,1,55,35,0.621000," ","int((((-x*exp(5)*exp(-ln(3)+x)+x*exp(5))*ln(x)^2-4*exp(5)*exp(-ln(3)+x)+(4*x-20)*exp(5))*exp(4/ln(x))+(x*exp(5)*exp(-ln(3)+x)^2+((-2*x^2+11*x)*exp(5)+x^2+x)*exp(-ln(3)+x)+(x^3-10*x^2+24*x)*exp(5)-7*x)*ln(x)^2)/(x*exp(5)*exp(-ln(3)+x)^2+(-2*x^2+10*x)*exp(5)*exp(-ln(3)+x)+(x^3-10*x^2+25*x)*exp(5))/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2} {\mathrm e}^{5}-\frac{x \,{\mathrm e}^{5+x}}{3}-5 x \,{\mathrm e}^{5}+{\mathrm e}^{5}+x +2\right) {\mathrm e}^{-5}}{x -\frac{{\mathrm e}^{x}}{3}-5}-\frac{{\mathrm e}^{\frac{4}{\ln \left(x \right)}}}{x -\frac{{\mathrm e}^{x}}{3}-5}$&$55$\\ \hline \end{longtable}"," ",0,"(x^2*exp(5)-1/3*x*exp(5+x)-5*x*exp(5)+exp(5)+x+2)/(x-1/3*exp(x)-5)*exp(-5)-1/(x-1/3*exp(x)-5)*exp(4/ln(x))","A"
316,1,220,24,0.317000," ","int(((-x^2*ln(x)^2+2*x^2*exp(x)*ln(x)-exp(x)^2*x^2+x)*ln(x^2*ln(x)^2-2*x^2*exp(x)*ln(x)+exp(x)^2*x^2-x)+(2*x^2-2*x)*ln(x)^2+((-2*x^3-2*x^2+4*x)*exp(x)+2*x^2-2*x)*ln(x)+(2*x^3-2*x)*exp(x)^2+(-2*x^2+2*x)*exp(x)-x+1)/((x^4-2*x^3+x^2)*ln(x)^2+(-2*x^4+4*x^3-2*x^2)*exp(x)*ln(x)+(x^4-2*x^3+x^2)*exp(x)^2-x^3+2*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(-1+\left({\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} \ln \left(x \right)+\ln \left(x \right)^{2}\right) x \right)}{x -1}+\frac{-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(1-\left({\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} \ln \left(x \right)+\ln \left(x \right)^{2}\right) x \right)\right) \mathrm{csgn}\left(i x \left(1-\left({\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} \ln \left(x \right)+\ln \left(x \right)^{2}\right) x \right)\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(1-\left({\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} \ln \left(x \right)+\ln \left(x \right)^{2}\right) x \right)\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(1-\left({\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} \ln \left(x \right)+\ln \left(x \right)^{2}\right) x \right)\right) \mathrm{csgn}\left(i x \left(1-\left({\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} \ln \left(x \right)+\ln \left(x \right)^{2}\right) x \right)\right)^{2}+i \pi  \mathrm{csgn}\left(i x \left(1-\left({\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} \ln \left(x \right)+\ln \left(x \right)^{2}\right) x \right)\right)^{3}+2 \ln \left(x \right)}{2 x -2}$&$220$\\ \hline \end{longtable}"," ",0,"1/(x-1)*ln(-1+(exp(2*x)-2*exp(x)*ln(x)+ln(x)^2)*x)+1/2*(-I*Pi*csgn(I*x)*csgn(I*(1-(exp(2*x)-2*exp(x)*ln(x)+ln(x)^2)*x))*csgn(I*x*(1-(exp(2*x)-2*exp(x)*ln(x)+ln(x)^2)*x))+I*Pi*csgn(I*x)*csgn(I*x*(1-(exp(2*x)-2*exp(x)*ln(x)+ln(x)^2)*x))^2-I*Pi*csgn(I*(1-(exp(2*x)-2*exp(x)*ln(x)+ln(x)^2)*x))*csgn(I*x*(1-(exp(2*x)-2*exp(x)*ln(x)+ln(x)^2)*x))^2+I*Pi*csgn(I*x*(1-(exp(2*x)-2*exp(x)*ln(x)+ln(x)^2)*x))^3+2*ln(x))/(x-1)","C"
317,1,34,34,1.634000," ","int(1/3*(4*x*ln(3)*exp(x)*ln(4/x)+(4*x-24)*ln(3)*exp(x)+(4*x^4-4*x^3)*ln(3))*exp(1/3*(-4*x*ln(3)*exp(x)*ln(4/x)+(9*x^2+12)*ln(3)*exp(x)-4*x^3*ln(3))/exp(x)/x^2)/exp(x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3^{\frac{9 x^{2}+4 x \ln \left(x \right)-8 x \ln \left(2\right)-4 x^{3} {\mathrm e}^{-x}+12}{3 x^{2}}}$&$34$\\ \hline \end{longtable}"," ",0,"3^(1/3*(9*x^2+4*x*ln(x)-8*x*ln(2)-4*x^3*exp(-x)+12)/x^2)","A"
318,1,14,14,0.112000," ","int((4*exp(4/exp(x))+3*exp(x))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x -{\mathrm e}^{4 \,{\mathrm e}^{-x}}$&$14$\\ derivativedivides&$-3 \ln \left({\mathrm e}^{-x}\right)-{\mathrm e}^{4 \,{\mathrm e}^{-x}}$&$18$\\ default&$-3 \ln \left({\mathrm e}^{-x}\right)-{\mathrm e}^{4 \,{\mathrm e}^{-x}}$&$18$\\ norman&$\left(3 \,{\mathrm e}^{x} x -{\mathrm e}^{x} {\mathrm e}^{4 \,{\mathrm e}^{-x}}\right) {\mathrm e}^{-x}$&$23$\\ \hline \end{longtable}"," ",0,"3*x-exp(4*exp(-x))","A"
319,1,9,14,0.010000," ","int(-12*x-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-2 x \left(3 x +1\right)$&$9$\\ default&$-6 x^{2}-2 x$&$10$\\ norman&$-6 x^{2}-2 x$&$10$\\ risch&$-6 x^{2}-2 x$&$10$\\ \hline \end{longtable}"," ",0,"-2*x*(3*x+1)","A"
320,1,31,21,10.009000," ","int(((4*x^5-4096*x^4+1572832*x^3-268421120*x^2+17178296355*x)*exp((2*x^3-1024*x^2+131067*x)/(2*x^2-1024*x+131065))+64*x^4-65536*x^3+25165376*x^2-4294737920*x+274848547600)/(4*x^5-4096*x^4+1572836*x^3-268421120*x^2+17178034225*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 \ln \left(x \right)+{\mathrm e}^{\frac{x \left(2 x^{2}-1024 x +131067\right)}{2 x^{2}-1024 x +131065}}$&$31$\\ norman&$\frac{-1024 x \,{\mathrm e}^{\frac{2 x^{3}-1024 x^{2}+131067 x}{2 x^{2}-1024 x +131065}}+2 x^{2} {\mathrm e}^{\frac{2 x^{3}-1024 x^{2}+131067 x}{2 x^{2}-1024 x +131065}}+131065 \,{\mathrm e}^{\frac{2 x^{3}-1024 x^{2}+131067 x}{2 x^{2}-1024 x +131065}}}{2 x^{2}-1024 x +131065}+16 \ln \left(x \right)$&$114$\\ \hline \end{longtable}"," ",0,"16*ln(x)+exp(x*(2*x^2-1024*x+131067)/(2*x^2-1024*x+131065))","A"
321,1,41,23,0.024000," ","int(((-5*x^5+16*x^4+x+2)*ln(x)+6*x^6-x^5-60*x^4-4*x^2-7*x-4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{2}+\left(-x^{5}+4 x^{4}+x \right) \ln \left(x \right)+x^{6}-16 x^{4}-2 x^{2}-8 x -4 \ln \left(x \right)$&$41$\\ default&$-x^{5} \ln \left(x \right)+x^{6}+4 x^{4} \ln \left(x \right)-16 x^{4}+x \ln \left(x \right)-8 x -2 x^{2}+\ln \left(x \right)^{2}-4 \ln \left(x \right)$&$44$\\ norman&$-x^{5} \ln \left(x \right)+x^{6}+4 x^{4} \ln \left(x \right)-16 x^{4}+x \ln \left(x \right)-8 x -2 x^{2}+\ln \left(x \right)^{2}-4 \ln \left(x \right)$&$44$\\ \hline \end{longtable}"," ",0,"ln(x)^2+(-x^5+4*x^4+x)*ln(x)+x^6-16*x^4-2*x^2-8*x-4*ln(x)","A"
322,1,85,27,0.091000," ","int(((64*x^6-1472*x^5+12800*x^4-48000*x^3+40000*x^2+200000*x-400000)*exp(x)^10+(320*x^5-5760*x^4+35200*x^3-64000*x^2-120000*x+400000)*exp(x)^8+(32*x^5+224*x^4-6784*x^3+28720*x^2+9600*x-158000)*exp(x)^6+(64*x^4+112*x^3-4464*x^2+5360*x+30800)*exp(x)^4+(28*x^3+211*x^2-1061*x-2960)*exp(x)^2+49*x+112)/((32*x^5-800*x^4+8000*x^3-40000*x^2+100000*x-100000)*exp(x)^10+(160*x^4-3200*x^3+24000*x^2-80000*x+100000)*exp(x)^8+(320*x^3-4800*x^2+24000*x-40000)*exp(x)^6+(320*x^2-3200*x+8000)*exp(x)^4+(160*x-800)*exp(x)^2+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+4 x -\frac{x \left(16 x^{3} {\mathrm e}^{4 x}-128 x^{2} {\mathrm e}^{4 x}+80 x \,{\mathrm e}^{4 x}+32 \,{\mathrm e}^{2 x} x^{2}+800 \,{\mathrm e}^{4 x}-96 x \,{\mathrm e}^{2 x}-320 \,{\mathrm e}^{2 x}+15 x +32\right)}{64 \left(x \,{\mathrm e}^{2 x}-5 \,{\mathrm e}^{2 x}+1\right)^{4}}$&$85$\\ \hline \end{longtable}"," ",0,"x^2+4*x-1/64*x*(16*x^3*exp(4*x)-128*x^2*exp(4*x)+80*x*exp(4*x)+32*exp(2*x)*x^2+800*exp(4*x)-96*x*exp(2*x)-320*exp(2*x)+15*x+32)/(x*exp(2*x)-5*exp(2*x)+1)^4","B"
323,1,14,15,0.099000," ","int(2*ln(1/4*x*exp(x-4)^2)+4*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 x \ln \left(\frac{x \,{\mathrm e}^{2 x -8}}{4}\right)$&$14$\\ default&$2 x \ln \left(\frac{x \,{\mathrm e}^{2 x -8}}{4}\right)+40$&$16$\\ risch&$4 x \ln \left({\mathrm e}^{x -4}\right)+2 x \ln \left(x \right)-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x -8}\right)^{3} x -i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{2 x -8}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{2 x -8}\right) x +i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x -8}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{2 x -8}\right)^{2} x -i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{2 x -8}\right)^{3} x +i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{2 x -8}\right)^{2} x +2 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x -4}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x -8}\right)^{2} x -i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x -4}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x -8}\right) x -4 x \ln \left(2\right)$&$187$\\ \hline \end{longtable}"," ",0,"2*x*ln(1/4*x*exp(x-4)^2)","A"
324,1,15,18,0.066000," ","int(1/5*((20*x*ln(2)*ln(x)+exp(x))*exp(1/5*(exp(x)*ln(ln(x))-20*ln(2))/exp(x))+5*exp(x)*ln(x))/x/exp(x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left(x \right)^{\frac{1}{5}} \left(\frac{1}{16}\right)^{{\mathrm e}^{-x}}$&$15$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(x)^(1/5)*(1/16)^exp(-x)","A"
325,1,21,21,0.026000," ","int(-150*x^2*ln(2)+350*x^6-750*x^2+750*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-25 x^{2} \left(-2 x^{5}+2 x \ln \left(2\right)+10 x -15\right)$&$21$\\ norman&$\left(-50 \ln \left(2\right)-250\right) x^{3}+375 x^{2}+50 x^{7}$&$22$\\ default&$-50 x^{3} \ln \left(2\right)+50 x^{7}-250 x^{3}+375 x^{2}$&$24$\\ risch&$-50 x^{3} \ln \left(2\right)+50 x^{7}-250 x^{3}+375 x^{2}$&$24$\\ \hline \end{longtable}"," ",0,"-25*x^2*(-2*x^5+2*x*ln(2)+10*x-15)","A"
326,1,144,39,0.104000," ","int(800*x*exp(1)^2*ln(x)^2+((800*x^2+1600*x)*exp(1)^2*exp(x)+1600*x*exp(1)^2*ln(5)+5600*x*exp(1)^2+600*x^2*exp(1))*ln(x)+(800*x^2+800*x)*exp(1)^2*exp(x)^2+((800*x^2+1600*x)*exp(1)^2*ln(5)+(2400*x^2+5600*x)*exp(1)^2+(200*x^3+600*x^2)*exp(1))*exp(x)+800*x*exp(1)^2*ln(5)^2+(5600*x*exp(1)^2+600*x^2*exp(1))*ln(5)+9600*x*exp(1)^2+2000*x^2*exp(1)+100*x^3-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +2400 \,{\mathrm e}^{2} \ln \left(5\right) x^{2}+200 \,{\mathrm e} \ln \left(5\right) x^{3}+2400 x^{2} {\mathrm e}^{2+x}+200 x^{3} {\mathrm e}^{x +1}+800 x^{2} \ln \left(5\right) {\mathrm e}^{2+x}+800 \,{\mathrm e}^{2} \ln \left(5\right) \ln \left(x \right) x^{2}+2400 x^{2} {\mathrm e}^{2} \ln \left(x \right)+3600 x^{2} {\mathrm e}^{2}+200 x^{3} {\mathrm e} \ln \left(x \right)+600 x^{3} {\mathrm e}+800 x^{2} \ln \left(x \right) {\mathrm e}^{2+x}+400 x^{2} {\mathrm e}^{2 x +2}+25 x^{4}+400 x^{2} {\mathrm e}^{2} \ln \left(5\right)^{2}+400 \,{\mathrm e}^{2} \ln \left(x \right)^{2} x^{2}$&$144$\\ default&$-x +2400 \,{\mathrm e}^{2} \ln \left(5\right) x^{2}+200 \,{\mathrm e} \ln \left(5\right) x^{3}+2400 x^{2} {\mathrm e}^{2} {\mathrm e}^{x}+200 x^{3} {\mathrm e} \,{\mathrm e}^{x}+800 \,{\mathrm e}^{x} {\mathrm e}^{2} \ln \left(5\right) x^{2}+800 \,{\mathrm e}^{2} \ln \left(5\right) \ln \left(x \right) x^{2}+2400 x^{2} {\mathrm e}^{2} \ln \left(x \right)+3600 x^{2} {\mathrm e}^{2}+200 x^{3} {\mathrm e} \ln \left(x \right)+600 x^{3} {\mathrm e}+800 \ln \left(x \right) {\mathrm e}^{x} {\mathrm e}^{2} x^{2}+400 \,{\mathrm e}^{2} {\mathrm e}^{2 x} x^{2}+25 x^{4}+400 x^{2} {\mathrm e}^{2} \ln \left(5\right)^{2}+400 \,{\mathrm e}^{2} \ln \left(x \right)^{2} x^{2}$&$164$\\ \hline \end{longtable}"," ",0,"-x+2400*exp(2)*ln(5)*x^2+200*exp(1)*ln(5)*x^3+2400*x^2*exp(2+x)+200*x^3*exp(x+1)+800*x^2*ln(5)*exp(2+x)+800*exp(2)*ln(5)*ln(x)*x^2+2400*x^2*exp(2)*ln(x)+3600*x^2*exp(2)+200*x^3*exp(1)*ln(x)+600*x^3*exp(1)+800*x^2*ln(x)*exp(2+x)+400*x^2*exp(2*x+2)+25*x^4+400*x^2*exp(2)*ln(5)^2+400*exp(2)*ln(x)^2*x^2","B"
327,1,113,18,0.135000," ","int((-16*x*exp(x)*ln(x)*exp(exp(x))*ln(ln(x))*ln(ln(ln(x)))*ln(ln(ln(ln(x)))/x)-16*ln(x)*exp(exp(x))*ln(ln(x))*ln(ln(ln(x)))+16*exp(exp(x)))/x/ln(x)/ln(ln(x))/ln(ln(ln(x)))/ln(ln(ln(ln(x)))/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{32 i {\mathrm e}^{{\mathrm e}^{x}}}{\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(\ln \left(\ln \left(x \right)\right)\right)\right) \mathrm{csgn}\left(\frac{i \ln \left(\ln \left(\ln \left(x \right)\right)\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(\ln \left(\ln \left(x \right)\right)\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \ln \left(\ln \left(\ln \left(x \right)\right)\right)\right) \mathrm{csgn}\left(\frac{i \ln \left(\ln \left(\ln \left(x \right)\right)\right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \ln \left(\ln \left(\ln \left(x \right)\right)\right)}{x}\right)^{3}-2 i \ln \left(x \right)+2 i \ln \left(\ln \left(\ln \left(\ln \left(x \right)\right)\right)\right)}$&$113$\\ \hline \end{longtable}"," ",0,"-32*I*exp(exp(x))/(Pi*csgn(I/x)*csgn(I*ln(ln(ln(x))))*csgn(I/x*ln(ln(ln(x))))-Pi*csgn(I/x)*csgn(I/x*ln(ln(ln(x))))^2-Pi*csgn(I*ln(ln(ln(x))))*csgn(I/x*ln(ln(ln(x))))^2+Pi*csgn(I/x*ln(ln(ln(x))))^3-2*I*ln(x)+2*I*ln(ln(ln(ln(x)))))","C"
328,1,20,19,0.260000," ","int(-55*(ln(2)+I*Pi)*exp(5/2/ln(-11/4*x+5))/(22*x-40)/ln(-11/4*x+5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\ln \left(2\right)+i \pi \right) {\mathrm e}^{\frac{5}{2 \ln \left(-\frac{11 x}{4}+5\right)}}$&$20$\\ risch&$i \pi  \,{\mathrm e}^{\frac{5}{2 \ln \left(-\frac{11 x}{4}+5\right)}}+{\mathrm e}^{\frac{5}{2 \ln \left(-\frac{11 x}{4}+5\right)}} \ln \left(2\right)$&$31$\\ \hline \end{longtable}"," ",0,"(ln(2)+I*Pi)*exp(5/2/ln(-11/4*x+5))","A"
329,1,11,11,0.015000," ","int(-4*ln(3)+2*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x \ln \left(3\right)+x^{2}+x$&$11$\\ risch&$-4 x \ln \left(3\right)+x^{2}+x$&$11$\\ gosper&$-x \left(-x +4 \ln \left(3\right)-1\right)$&$13$\\ norman&$x^{2}+\left(-4 \ln \left(3\right)+1\right) x$&$13$\\ \hline \end{longtable}"," ",0,"-4*x*ln(3)+x^2+x","A"
330,1,14,13,0.025000," ","int((-10*ln(x)*ln(ln(x))+40*ln(x)-5)*exp(5/(x^2*ln(ln(x))-4*x^2))/(x^3*ln(x)*ln(ln(x))^2-8*x^3*ln(x)*ln(ln(x))+16*x^3*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{5}{x^{2} \left(\ln \left(\ln \left(x \right)\right)-4\right)}}$&$14$\\ \hline \end{longtable}"," ",0,"exp(5/x^2/(ln(ln(x))-4))","A"
331,1,50,27,0.126000," ","int((((-x^2+10*x)*ln(x)+(x^2-10*x)*exp(5)+x^2-9)*ln(ln(2))+4*x*ln(x)-4*x*exp(5)-4)/x/exp(x)/ln(ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(x \ln \left(x \right)+\left(-{\mathrm e}^{5}-1\right) x +\frac{{\mathrm e}^{5} \left(9 \ln \left(\ln \left(2\right)\right)+4\right)}{\ln \left(\ln \left(2\right)\right)}-\frac{\left(9 \ln \left(\ln \left(2\right)\right)+4\right) \ln \left(x \right)}{\ln \left(\ln \left(2\right)\right)}\right) {\mathrm e}^{-x}$&$50$\\ risch&$\frac{\left(x \ln \left(\ln \left(2\right)\right)-9 \ln \left(\ln \left(2\right)\right)-4\right) {\mathrm e}^{-x} \ln \left(x \right)}{\ln \left(\ln \left(2\right)\right)}-\frac{\left({\mathrm e}^{5} \ln \left(\ln \left(2\right)\right) x -9 \,{\mathrm e}^{5} \ln \left(\ln \left(2\right)\right)+x \ln \left(\ln \left(2\right)\right)-4 \,{\mathrm e}^{5}\right) {\mathrm e}^{-x}}{\ln \left(\ln \left(2\right)\right)}$&$61$\\ \hline \end{longtable}"," ",0,"(x*ln(x)+(-exp(5)-1)*x+exp(5)*(9*ln(ln(2))+4)/ln(ln(2))-1/ln(ln(2))*(9*ln(ln(2))+4)*ln(x))/exp(x)","A"
332,1,31,46,0.123000," ","int(((-200*ln(2)^2+40*exp(3)*ln(2)-2*exp(3)^2)*exp(x)*exp(1/25*(100*ln(2)^2-20*exp(3)*ln(2)+exp(3)^2)*exp(x))+50)/(225*exp(1/25*(100*ln(2)^2-20*exp(3)*ln(2)+exp(3)^2)*exp(x))^3-675*x*exp(1/25*(100*ln(2)^2-20*exp(3)*ln(2)+exp(3)^2)*exp(x))^2+675*x^2*exp(1/25*(100*ln(2)^2-20*exp(3)*ln(2)+exp(3)^2)*exp(x))-225*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{9 \left(x -{\mathrm e}^{-\frac{\left(-{\mathrm e}^{6}+20 \,{\mathrm e}^{3} \ln \left(2\right)-100 \ln \left(2\right)^{2}\right) {\mathrm e}^{x}}{25}}\right)^{2}}$&$31$\\ \hline \end{longtable}"," ",0,"1/9/(x-exp(-1/25*(-exp(6)+20*exp(3)*ln(2)-100*ln(2)^2)*exp(x)))^2","A"
333,1,77,29,0.068000," ","int((((16*x^3-16*x^2+32*x)*ln(15)^2+(64*x^3-64*x^2+128*x)*ln(15)+64*x^3-64*x^2+128*x)*ln(x)+(-24*x^3+8*x^2+16*x)*ln(15)^2+(-96*x^3+32*x^2+64*x)*ln(15)-96*x^3+32*x^2+64*x)*exp(ln(x)^2)^2/(x^10-5*x^9+20*x^8-50*x^7+105*x^6-161*x^5+210*x^4-200*x^3+160*x^2-80*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \left(\ln \left(5\right)^{2}+2 \ln \left(3\right) \ln \left(5\right)+\ln \left(3\right)^{2}+4 \ln \left(5\right)+4 \ln \left(3\right)+4\right) x^{2} {\mathrm e}^{2 \ln \left(x \right)^{2}}}{x^{8}-4 x^{7}+14 x^{6}-28 x^{5}+49 x^{4}-56 x^{3}+56 x^{2}-32 x +16}$&$77$\\ \hline \end{longtable}"," ",0,"4*(ln(5)^2+2*ln(3)*ln(5)+ln(3)^2+4*ln(5)+4*ln(3)+4)*x^2/(x^8-4*x^7+14*x^6-28*x^5+49*x^4-56*x^3+56*x^2-32*x+16)*exp(2*ln(x)^2)","B"
334,1,20,15,0.026000," ","int(1/2*(x^2*ln(x^2)+6*x^2-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 x^{2}}{4}+\frac{x^{2} \ln \left(x^{2}\right)}{4}-\frac{\ln \left(x \right)}{2}$&$20$\\ risch&$\frac{5 x^{2}}{4}+\frac{x^{2} \ln \left(x^{2}\right)}{4}-\frac{\ln \left(x \right)}{2}$&$20$\\ derivativedivides&$\frac{x^{2} \ln \left(x^{2}\right)}{4}+\frac{5 x^{2}}{4}-\frac{\ln \left(x^{2}\right)}{4}$&$22$\\ default&$\frac{x^{2} \ln \left(x^{2}\right)}{4}+\frac{5 x^{2}}{4}-\frac{\ln \left(x^{2}\right)}{4}$&$22$\\ \hline \end{longtable}"," ",0,"5/4*x^2+1/4*x^2*ln(x^2)-1/2*ln(x)","A"
335,1,28,26,0.383000," ","int((exp(x)*x^2+ln(3)+exp(6)-4*x^2)/(exp(x)^2*x^2+(-2*x*ln(3)-2*x*exp(6)+8*x^2*exp(3)-8*x^3+2*x^2)*exp(x)+ln(3)^2+(2*exp(6)-8*x*exp(3)+8*x^2-2*x)*ln(3)+exp(6)^2+(-8*x*exp(3)+8*x^2-2*x)*exp(6)+16*x^2*exp(3)^2+(-32*x^3+8*x^2)*exp(3)+16*x^4-8*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{-4 x \,{\mathrm e}^{3}+4 x^{2}-{\mathrm e}^{x} x +\ln \left(3\right)+{\mathrm e}^{6}-x}$&$28$\\ risch&$\frac{x}{-4 x \,{\mathrm e}^{3}+4 x^{2}-{\mathrm e}^{x} x +\ln \left(3\right)+{\mathrm e}^{6}-x}$&$28$\\ \hline \end{longtable}"," ",0,"x/(-4*x*exp(3)+4*x^2-exp(x)*x+ln(3)+exp(6)-x)","A"
336,1,209,27,2.683000," ","int(1/18*(((4*exp(x)*x^2+4*x)*ln(4/x)+3*exp(x)*x^2+x)*ln(x)^2+(4*x*ln(4/x)+3*x)*ln(x))*exp(exp(x))^2+1/18*((((-4*x^3+12*x^2)*exp(x)-12*x^2+24*x)*ln(4/x)+(-3*x^3+9*x^2)*exp(x)-5*x^2+6*x)*ln(x)^2+((-8*x^2+24*x)*ln(4/x)-6*x^2+18*x)*ln(x))*exp(exp(x))+1/18*((8*x^3-36*x^2+36*x)*ln(4/x)+4*x^3-15*x^2+9*x)*ln(x)^2+1/18*((4*x^3-24*x^2+36*x)*ln(4/x)+3*x^3-18*x^2+27*x)*ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{3} \ln \left(x \right)^{2}}{2}+\frac{4 \ln \left(x \right)^{2} {\mathrm e}^{{\mathrm e}^{x}} \ln \left(2\right) x^{2}}{3}+\frac{3 x^{2} \ln \left(x \right)^{2}}{4}+\frac{\ln \left(x \right)^{2} {\mathrm e}^{{\mathrm e}^{x}} x^{2}}{2}-\frac{4 \ln \left(x \right)^{2} \ln \left(2\right) x^{3}}{3}+2 x^{2} \ln \left(2\right) \ln \left(x \right)^{2}+\frac{x^{4} \ln \left(x \right)^{2}}{12}+\frac{2 \,{\mathrm e}^{2 \,{\mathrm e}^{x}} \ln \left(x \right)^{2} \ln \left(2\right) x^{2}}{9}-\frac{4 \ln \left(x \right)^{2} {\mathrm e}^{{\mathrm e}^{x}} \ln \left(2\right) x^{3}}{9}+\frac{{\mathrm e}^{2 \,{\mathrm e}^{x}} \ln \left(x \right)^{2} x^{2}}{12}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x}} x^{2} \ln \left(x \right)^{3}}{9}+\frac{2 \ln \left(x \right)^{2} \ln \left(2\right) x^{4}}{9}+\frac{2 \ln \left(x \right)^{3} {\mathrm e}^{{\mathrm e}^{x}} x^{3}}{9}-\frac{2 \ln \left(x \right)^{3} {\mathrm e}^{{\mathrm e}^{x}} x^{2}}{3}-\frac{\ln \left(x \right)^{2} {\mathrm e}^{{\mathrm e}^{x}} x^{3}}{6}-x^{2} \ln \left(x \right)^{3}+\frac{2 x^{3} \ln \left(x \right)^{3}}{3}-\frac{x^{4} \ln \left(x \right)^{3}}{9}$&$209$\\ \hline \end{longtable}"," ",0,"-1/2*x^3*ln(x)^2+4/3*ln(x)^2*exp(exp(x))*ln(2)*x^2+3/4*x^2*ln(x)^2+1/2*ln(x)^2*exp(exp(x))*x^2-4/3*ln(x)^2*ln(2)*x^3+2*x^2*ln(2)*ln(x)^2+1/12*x^4*ln(x)^2+2/9*exp(2*exp(x))*ln(x)^2*ln(2)*x^2-4/9*ln(x)^2*exp(exp(x))*ln(2)*x^3+1/12*exp(2*exp(x))*ln(x)^2*x^2-1/9*exp(2*exp(x))*x^2*ln(x)^3+2/9*ln(x)^2*ln(2)*x^4+2/9*ln(x)^3*exp(exp(x))*x^3-2/3*ln(x)^3*exp(exp(x))*x^2-1/6*ln(x)^2*exp(exp(x))*x^3-x^2*ln(x)^3+2/3*x^3*ln(x)^3-1/9*x^4*ln(x)^3","B"
337,1,330,33,0.261000," ","int((((-x^2+x+12)*ln(3+x)+x^3-x^2-12*x)*ln((-ln(3+x)+x)/(x^2-4*x)/ln(5))+(-2*x^3+11*x^2+19*x-96)*ln(3+x)+2*x^4-10*x^3-21*x^2+88*x)/((5*x^2-5*x-60)*ln(3+x)-5*x^3+5*x^2+60*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \ln \left(-\ln \left(3+x \right)+x \right)}{5}+\frac{x \ln \left(x -4\right)}{5}+\frac{x \ln \left(x \right)}{5}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3+x \right)-x \right)}{x -4}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3+x \right)-x \right)}{\left(x -4\right) x}\right)}{10}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x -4}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3+x \right)-x \right)}{x -4}\right)^{2}}{10}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(\ln \left(3+x \right)-x \right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3+x \right)-x \right)}{x -4}\right)^{2}}{10}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(\ln \left(3+x \right)-x \right)}{\left(x -4\right) x}\right)^{3}}{10}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i \left(\ln \left(3+x \right)-x \right)}{x -4}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3+x \right)-x \right)}{\left(x -4\right) x}\right)^{2}}{10}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(\ln \left(3+x \right)-x \right)}{x -4}\right)^{3}}{10}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x -4}\right) \mathrm{csgn}\left(i \left(\ln \left(3+x \right)-x \right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3+x \right)-x \right)}{x -4}\right)}{10}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3+x \right)-x \right)}{\left(x -4\right) x}\right)^{2}}{10}+\frac{x \ln \left(\ln \left(5\right)\right)}{5}-\frac{x^{2}}{5}+\frac{7 x}{5}$&$330$\\ \hline \end{longtable}"," ",0,"-1/5*x*ln(-ln(3+x)+x)+1/5*x*ln(x-4)+1/5*x*ln(x)+1/10*I*Pi*x*csgn(I/x)*csgn(I*(ln(3+x)-x)/(x-4))*csgn(I*(ln(3+x)-x)/(x-4)/x)-1/10*I*Pi*x*csgn(I/(x-4))*csgn(I*(ln(3+x)-x)/(x-4))^2+1/10*I*Pi*x*csgn(I*(ln(3+x)-x))*csgn(I*(ln(3+x)-x)/(x-4))^2-1/10*I*Pi*x*csgn(I*(ln(3+x)-x)/(x-4)/x)^3+1/10*I*Pi*x*csgn(I*(ln(3+x)-x)/(x-4))*csgn(I*(ln(3+x)-x)/(x-4)/x)^2-1/10*I*Pi*x*csgn(I*(ln(3+x)-x)/(x-4))^3+1/10*I*Pi*x*csgn(I/(x-4))*csgn(I*(ln(3+x)-x))*csgn(I*(ln(3+x)-x)/(x-4))-1/10*I*Pi*x*csgn(I/x)*csgn(I*(ln(3+x)-x)/(x-4)/x)^2+1/5*x*ln(ln(5))-1/5*x^2+7/5*x","C"
338,1,28,29,0.132000," ","int((x*ln(x)^3+(-3*x*exp(exp(3)^2)^2-75*x^3-15*x)*ln(x)^2+(3*x*exp(exp(3)^2)^4+(150*x^3+30*x)*exp(exp(3)^2)^2-exp(x)*x+1875*x^5+750*x^3+76*x)*ln(x)-x*exp(exp(3)^2)^6+(-75*x^3-15*x)*exp(exp(3)^2)^4+(exp(x)*x-1875*x^5-750*x^3-76*x)*exp(exp(3)^2)^2+(25*x^3-100*x^2+5*x+2)*exp(x)-15625*x^7-9375*x^5-1800*x^3-132*x)/(x*ln(x)^3+(-3*x*exp(exp(3)^2)^2-75*x^3-15*x)*ln(x)^2+(3*x*exp(exp(3)^2)^4+(150*x^3+30*x)*exp(exp(3)^2)^2+1875*x^5+750*x^3+75*x)*ln(x)-x*exp(exp(3)^2)^6+(-75*x^3-15*x)*exp(exp(3)^2)^4+(-1875*x^5-750*x^3-75*x)*exp(exp(3)^2)^2-15625*x^7-9375*x^5-1875*x^3-125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x -{\mathrm e}^{x}}{\left(25 x^{2}+5-\ln \left(x \right)+{\mathrm e}^{2 \,{\mathrm e}^{6}}\right)^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"x+(x-exp(x))/(25*x^2+5-ln(x)+exp(2*exp(6)))^2","A"
339,1,24,30,0.284000," ","int(((2*x^2-50*x)*ln(2)*ln(-x+25)+(-2*x^3+48*x^2+50*x)*ln(2)*exp(x)+(2*x^2-2*x+50)*ln(2))*exp(x*ln(-x+25)-exp(x)*x+3)^2/(x^4-25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(2\right) \left(-x +25\right)^{2 x} {\mathrm e}^{-2 \,{\mathrm e}^{x} x +6}}{x^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"1/x^2*ln(2)*((-x+25)^x)^2*exp(-2*exp(x)*x+6)","A"
340,1,51,30,0.091000," ","int((((-x^3-2*x^2+4*x+8)*exp(x)+6*x^2+24*x+24)*ln(x)*ln(ln(x))+(-5*x^3+10*x^2+10*x)*ln(x)+(-x^2-4*x-4)*exp(x)-3*x^2-12*x-12)*exp((((-x-2)*exp(x)-3*x-6)*ln(ln(x))-5*x^3-5*x^2-5*x)/(5*x^3+10*x^2))/(5*x^5+20*x^4+20*x^3)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{{\mathrm e}^{x} \ln \left(\ln \left(x \right)\right) x +5 x^{3}+2 \,{\mathrm e}^{x} \ln \left(\ln \left(x \right)\right)+3 x \ln \left(\ln \left(x \right)\right)+5 x^{2}+6 \ln \left(\ln \left(x \right)\right)+5 x}{5 x^{2} \left(2+x \right)}}$&$51$\\ \hline \end{longtable}"," ",0,"exp(-1/5*(exp(x)*ln(ln(x))*x+5*x^3+2*exp(x)*ln(ln(x))+3*x*ln(ln(x))+5*x^2+6*ln(ln(x))+5*x)/x^2/(2+x))","A"
341,1,56,25,0.148000," ","int((((x^2-8*x+16)*ln(ln(12))*exp(x*ln(ln(12)))+2*x-8)*exp(exp(x*ln(ln(12)))+3)-exp(x)-1)*exp((x^2-8*x+16)*exp(exp(x*ln(ln(12)))+3)-exp(x)-x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\left(\ln \left(3\right)+2 \ln \left(2\right)\right)^{x}+3} x^{2}-8 \,{\mathrm e}^{\left(\ln \left(3\right)+2 \ln \left(2\right)\right)^{x}+3} x -{\mathrm e}^{x}+16 \,{\mathrm e}^{\left(\ln \left(3\right)+2 \ln \left(2\right)\right)^{x}+3}-x -1}$&$56$\\ \hline \end{longtable}"," ",0,"exp(exp((ln(3)+2*ln(2))^x+3)*x^2-8*exp((ln(3)+2*ln(2))^x+3)*x-exp(x)+16*exp((ln(3)+2*ln(2))^x+3)-x-1)","B"
342,1,27,24,0.262000," ","int((-10*x*exp(x)^2+(2*(-20*x^4+80*x^3-40*x^2+80*x-20)*ln(2)+40*x)*exp(x)+2*(-160*x^3-160*x)*ln(2)-40*x)/(exp(x)^2-4*exp(x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x^{2}+\frac{40 \ln \left(2\right) \left(x^{4}+2 x^{2}+1\right)}{{\mathrm e}^{x}-2}$&$27$\\ norman&$\frac{\left(10+80 \ln \left(2\right)\right) x^{2}+40 x^{4} \ln \left(2\right)-5 \,{\mathrm e}^{x} x^{2}+40 \ln \left(2\right)}{{\mathrm e}^{x}-2}$&$37$\\ \hline \end{longtable}"," ",0,"-5*x^2+40*ln(2)*(x^4+2*x^2+1)/(exp(x)-2)","A"
343,1,33,31,0.059000," ","int(((2*exp(x)*x^2-4*x^2)*ln(x)^3*ln(-exp(x)+2)+((16*exp(x)-32)*ln(x)-8*exp(x)+16)*exp((16*ln(x)^2-16*ln(x)+4)/ln(x)^2)+((-x*exp(5)+x^3)*exp(x)+2*x*exp(5))*ln(x)^3)/(exp(x)*x-2*x)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-{\mathrm e}^{x}+2\right) x^{2}-x \,{\mathrm e}^{5}+{\mathrm e}^{\frac{4 \left(2 \ln \left(x \right)-1\right)^{2}}{\ln \left(x \right)^{2}}}$&$33$\\ \hline \end{longtable}"," ",0,"ln(-exp(x)+2)*x^2-x*exp(5)+exp(4*(2*ln(x)-1)^2/ln(x)^2)","A"
344,1,13,13,0.016000," ","int((-6*ln(x)-3*x-6)/x^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6+3 x}{x \ln \left(x \right)}$&$13$\\ norman&$\frac{6+3 x}{x \ln \left(x \right)}$&$14$\\ default&$\frac{3}{\ln \left(x \right)}+\frac{6}{x \ln \left(x \right)}$&$17$\\ \hline \end{longtable}"," ",0,"3*(2+x)/x/ln(x)","A"
345,1,33,22,0.079000," ","int(((x*exp((-4*x^2*ln(5)^2+100)/ln(5)^2)*exp(x)+x*exp((-4*x^2*ln(5)^2+100)/ln(5)^2))*exp(exp(x)+5+x)+(-8*x^2+1)*exp((-4*x^2*ln(5)^2+100)/ln(5)^2))*exp(exp(exp(x)+5+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-\frac{4 x^{2} \ln \left(5\right)^{2}-{\mathrm e}^{{\mathrm e}^{x}+5+x} \ln \left(5\right)^{2}-100}{\ln \left(5\right)^{2}}}$&$33$\\ \hline \end{longtable}"," ",0,"x*exp(-(4*x^2*ln(5)^2-exp(exp(x)+5+x)*ln(5)^2-100)/ln(5)^2)","A"
346,1,8,9,0.016000," ","int(18*x/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 x^{2} {\mathrm e}^{-1}$&$8$\\ gosper&$9 x^{2} {\mathrm e}^{-1}$&$10$\\ default&$9 x^{2} {\mathrm e}^{-1}$&$10$\\ norman&$9 x^{2} {\mathrm e}^{-1}$&$10$\\ \hline \end{longtable}"," ",0,"9*x^2*exp(-1)","A"
347,1,50,30,0.084000," ","int(((16*x^6+64*x^5+44*x^4-64*x^3-48*x^2)*exp(x^2)^2+(-48*x^6-192*x^5-72*x^4+384*x^3+288*x^2)*exp(x^2)-16*x^10-128*x^9-384*x^8-512*x^7-256*x^6-180*x^4-576*x^3-432*x^2)*exp(exp(1))/(exp(x^2)^4-12*exp(x^2)^3+(-8*x^6-32*x^5-32*x^4+54)*exp(x^2)^2+(48*x^6+192*x^5+192*x^4-108)*exp(x^2)+16*x^12+128*x^11+384*x^10+512*x^9+256*x^8-72*x^6-288*x^5-288*x^4+81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{{\mathrm e}} \left(x^{2}+4 x +4\right) x^{3}}{4 x^{6}+16 x^{5}+16 x^{4}-{\mathrm e}^{2 x^{2}}+6 \,{\mathrm e}^{x^{2}}-9}$&$50$\\ \hline \end{longtable}"," ",0,"4*exp(exp(1))*(x^2+4*x+4)*x^3/(4*x^6+16*x^5+16*x^4-exp(2*x^2)+6*exp(x^2)-9)","A"
348,1,34,22,0.266000," ","int(((-x^2+1)*ln(4/(x^4-4*x^3+6*x^2-4*x+1))-x^3-3*x^2-4*x)*exp(ln(4/(x^4-4*x^3+6*x^2-4*x+1))/x)/(2*x^5+2*x^4-2*x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(\frac{4}{x^{4}-4 x^{3}+6 x^{2}-4 x +1}\right)^{\frac{1}{x}}}{2 x +2}$&$34$\\ \hline \end{longtable}"," ",0,"1/2/(x+1)*(4/(x^4-4*x^3+6*x^2-4*x+1))^(1/x)","A"
349,1,42,34,0.433000," ","int(((-x-15)*exp((exp(x)*x+3)/x)^2+(3*exp(x)*x^2-2*x-39)*exp((exp(x)*x+3)/x)-x-15)*exp((15*exp((exp(x)*x+3)/x)+15-3*x)/(x*exp((exp(x)*x+3)/x)+x))/(x^3*exp((exp(x)*x+3)/x)^2+2*x^3*exp((exp(x)*x+3)/x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{3 \left(-5 \,{\mathrm e}^{\frac{{\mathrm e}^{x} x +3}{x}}-5+x \right)}{x \left({\mathrm e}^{\frac{{\mathrm e}^{x} x +3}{x}}+1\right)}}}{x}$&$42$\\ \hline \end{longtable}"," ",0,"1/x*exp(-3*(-5*exp((exp(x)*x+3)/x)-5+x)/x/(exp((exp(x)*x+3)/x)+1))","A"
350,1,10,21,0.019000," ","int((-4*x*exp(x)^2+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-2 \,{\mathrm e}^{2 x}$&$10$\\ norman&$\ln \left(x \right)-2 \,{\mathrm e}^{2 x}$&$10$\\ risch&$\ln \left(x \right)-2 \,{\mathrm e}^{2 x}$&$10$\\ \hline \end{longtable}"," ",0,"ln(x)-2*exp(x)^2","A"
351,1,67,29,0.613000," ","int(((125*x^7+75*x^6+15*x^5+x^4)*exp(4)^2+(-250*x^8-150*x^7-30*x^6-6267*x^5-3783*x^4-750*x^3-50*x^2)*exp(4)+125*x^9+75*x^8+15*x^7+6266*x^6+3798*x^5+753*x^4+78550*x^3+46950*x^2+9225*x+625)/((125*x^7+75*x^6+15*x^5+x^4)*exp(4)^2+(-250*x^8-150*x^7-30*x^6-6267*x^5-3753*x^4-750*x^3-50*x^2)*exp(4)+125*x^9+75*x^8+15*x^7+6266*x^6+3753*x^5+750*x^4+78550*x^3+46950*x^2+9375*x+625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +2 \ln \left(1+5 x \right)+\ln \left(-x^{2} {\mathrm e}^{4}+x^{3}+25\right)-\ln \left(25 x^{5}+\left(-25 \,{\mathrm e}^{4}+10\right) x^{4}+\left(-10 \,{\mathrm e}^{4}+1\right) x^{3}+\left(-{\mathrm e}^{4}+628\right) x^{2}+250 x +25\right)$&$67$\\ norman&$x +2 \ln \left(1+5 x \right)-\ln \left(25 x^{4} {\mathrm e}^{4}-25 x^{5}+10 x^{3} {\mathrm e}^{4}-10 x^{4}+x^{2} {\mathrm e}^{4}-x^{3}-628 x^{2}-250 x -25\right)+\ln \left(x^{2} {\mathrm e}^{4}-x^{3}-25\right)$&$73$\\ default&$x -\left(\munderset{\textit{\_R} =\RootOf \left(625+25 \textit{\_Z}^{8}+\left(-50 \,{\mathrm e}^{4}+10\right) \textit{\_Z}^{7}+\left(-20 \,{\mathrm e}^{4}+25 \,{\mathrm e}^{8}+1\right) \textit{\_Z}^{6}+\left(-2 \,{\mathrm e}^{4}+10 \,{\mathrm e}^{8}+1253\right) \textit{\_Z}^{5}+\left(-1253 \,{\mathrm e}^{4}+{\mathrm e}^{8}+500\right) \textit{\_Z}^{4}+\left(-500 \,{\mathrm e}^{4}+50\right) \textit{\_Z}^{3}+\left(-50 \,{\mathrm e}^{4}+15700\right) \textit{\_Z}^{2}+6250 \textit{\_Z} \right)}{\sum}\frac{\left(-6250-50 \textit{\_R}^{7}+10 \left(10 \,{\mathrm e}^{4}-1\right) \textit{\_R}^{6}+10 \left(2 \,{\mathrm e}^{4}-5 \,{\mathrm e}^{8}\right) \textit{\_R}^{5}+\left(-10 \,{\mathrm e}^{8}-2497\right) \textit{\_R}^{4}+500 \left(5 \,{\mathrm e}^{4}-1\right) \textit{\_R}^{3}+500 \textit{\_R}^{2} {\mathrm e}^{4}-31400 \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{350 \textit{\_R}^{6} {\mathrm e}^{4}-200 \textit{\_R}^{7}+120 \textit{\_R}^{5} {\mathrm e}^{4}-150 \textit{\_R}^{5} {\mathrm e}^{8}-70 \textit{\_R}^{6}+10 \textit{\_R}^{4} {\mathrm e}^{4}-50 \textit{\_R}^{4} {\mathrm e}^{8}-6 \textit{\_R}^{5}+5012 \textit{\_R}^{3} {\mathrm e}^{4}-4 \textit{\_R}^{3} {\mathrm e}^{8}-6265 \textit{\_R}^{4}+1500 \textit{\_R}^{2} {\mathrm e}^{4}-2000 \textit{\_R}^{3}+100 \textit{\_R} \,{\mathrm e}^{4}-150 \textit{\_R}^{2}-31400 \textit{\_R} -6250}\right)+2 \ln \left(1+5 x \right)$&$265$\\ \hline \end{longtable}"," ",0,"x+2*ln(1+5*x)+ln(-x^2*exp(4)+x^3+25)-ln(25*x^5+(-25*exp(4)+10)*x^4+(-10*exp(4)+1)*x^3+(-exp(4)+628)*x^2+250*x+25)","B"
352,1,25,27,0.068000," ","int(1/2*(((20*x^5-20*x^3-400*x)*exp(x)-20*x^4+20*x^2+400)*exp(exp(x))-3*x^5+x^3-20*x)/x^3/exp(20*exp(exp(x))/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x^{4}-x^{2}-20\right) {\mathrm e}^{-\frac{20 \,{\mathrm e}^{{\mathrm e}^{x}}}{x}}}{2 x}$&$25$\\ \hline \end{longtable}"," ",0,"-1/2*(x^4-x^2-20)/x*exp(-20*exp(exp(x))/x)","A"
353,1,22,20,0.077000," ","int((((300*x^2-600*x+300)*exp(x)^2-300*x+300)*exp(exp(x)^2)+120*x-120)/(25*exp(exp(x)^2)^2-20*exp(exp(x)^2)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{30 \left(x^{2}-2 x +1\right)}{5 \,{\mathrm e}^{{\mathrm e}^{2 x}}-2}$&$22$\\ norman&$\frac{-75 \,{\mathrm e}^{{\mathrm e}^{2 x}}+60 x -30 x^{2}}{5 \,{\mathrm e}^{{\mathrm e}^{2 x}}-2}$&$29$\\ \hline \end{longtable}"," ",0,"-30*(x^2-2*x+1)/(5*exp(exp(2*x))-2)","A"
354,1,15,18,0.055000," ","int(((-x*ln(x)+2-x)*exp((x-1)*ln(x))-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{x -1}}{x}+\frac{1}{x}$&$15$\\ norman&$\frac{1-{\mathrm e}^{\left(x -1\right) \ln \left(x \right)}}{x}$&$16$\\ default&$-\frac{{\mathrm e}^{\left(x -1\right) \ln \left(x \right)}}{x}+\frac{1}{x}$&$17$\\ \hline \end{longtable}"," ",0,"-x^(x-1)/x+1/x","A"
355,1,44,19,0.258000," ","int((((8000*exp(5)+40000*x)*ln(x)^2+((32000*x-64000)*exp(5)+160000*x^2-320000*x)*ln(x)+(24000*x^2-144000*x+120000)*exp(5)+120000*x^3-720000*x^2+600000*x)*ln(exp(5)+5*x)^2+(80000*x*ln(x)^2+(160000*x^2-800000*x)*ln(x)+80000*x^3-800000*x^2+2000000*x)*ln(exp(5)+5*x))/(exp(5)+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(8000 x^{3}+16000 x^{2} \ln \left(x \right)+8000 x \ln \left(x \right)^{2}-80000 x^{2}-80000 x \ln \left(x \right)+200000 x \right) \ln \left({\mathrm e}^{5}+5 x \right)^{2}$&$44$\\ \hline \end{longtable}"," ",0,"(8000*x^3+16000*x^2*ln(x)+8000*x*ln(x)^2-80000*x^2-80000*x*ln(x)+200000*x)*ln(exp(5)+5*x)^2","B"
356,1,81,28,0.073000," ","int((400*ln(x)^3+(-320*x^2-40*x)*ln(x)^2+(400*exp(3)-320*x^2-80*x+2000)*ln(x)+(-320*x^2-40*x)*exp(3)+256*x^4+96*x^3-1592*x^2-200*x)/(625*x*ln(x)^8+(2500*x*exp(3)-2000*x^3-500*x^2+12500*x)*ln(x)^6+(3750*x*exp(3)^2+(-6000*x^3-1500*x^2+37500*x)*exp(3)+2400*x^5+1200*x^4-29850*x^3-7500*x^2+93400*x)*ln(x)^4+(2500*x*exp(3)^3+(-6000*x^3-1500*x^2+37500*x)*exp(3)^2+(4800*x^5+2400*x^4-59700*x^3-15000*x^2+186800*x)*exp(3)-1280*x^7-960*x^6+23760*x^5+11980*x^4-147940*x^3-37360*x^2+309000*x)*ln(x)^2+625*x*exp(3)^4+(-2000*x^3-500*x^2+12500*x)*exp(3)^3+(2400*x^5+1200*x^4-29850*x^3-7500*x^2+93400*x)*exp(3)^2+(-1280*x^7-960*x^6+23760*x^5+11980*x^4-147940*x^3-37360*x^2+309000*x)*exp(3)+256*x^9+256*x^8-6304*x^7-4784*x^6+58577*x^5+29788*x^4-243464*x^3-61800*x^2+381924*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4}{25 \ln \left(x \right)^{4}-40 x^{2} \ln \left(x \right)^{2}+16 x^{4}+50 \,{\mathrm e}^{3} \ln \left(x \right)^{2}-10 x \ln \left(x \right)^{2}-40 x^{2} {\mathrm e}^{3}+8 x^{3}+250 \ln \left(x \right)^{2}+25 \,{\mathrm e}^{6}-10 x \,{\mathrm e}^{3}-199 x^{2}+250 \,{\mathrm e}^{3}-50 x +618}$&$81$\\ \hline \end{longtable}"," ",0,"-4/(25*ln(x)^4-40*x^2*ln(x)^2+16*x^4+50*exp(3)*ln(x)^2-10*x*ln(x)^2-40*x^2*exp(3)+8*x^3+250*ln(x)^2+25*exp(6)-10*x*exp(3)-199*x^2+250*exp(3)-50*x+618)","B"
357,1,17,21,0.021000," ","int(-5*x^2*exp(3+ln(x))^2+4*x-7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x^{2}-7 x -x^{5} {\mathrm e}^{6}$&$17$\\ risch&$2 x^{2}-7 x -x^{5} {\mathrm e}^{6}$&$17$\\ norman&$2 x^{2}-7 x -x^{5} {\mathrm e}^{6}$&$19$\\ \hline \end{longtable}"," ",0,"2*x^2-7*x-x^5*exp(6)","A"
358,1,30,29,0.837000," ","int((((-4*ln(3)-4*x-20)*exp(exp(5))^2+(-4*x*ln(3)-4*x^2-20*x)*exp(exp(5))-x^2*ln(3)-x^3-5*x^2)*ln(ln(3)+5+x)*ln(ln(ln(3)+5+x))^2+((8*x*ln(3)+8*x^2+40*x)*exp(exp(5))^2+((8*x^2-4)*ln(3)+8*x^3+40*x^2-4*x-20)*exp(exp(5))+2*x^3*ln(3)+2*x^4+10*x^3)*ln(ln(3)+5+x)*ln(ln(ln(3)+5+x))+((-4*x^2*ln(3)-4*x^3-20*x^2)*exp(exp(5))^2+(-4*x^3*ln(3)-4*x^4-20*x^3)*exp(exp(5))+(-x^4-2*x^2)*ln(3)-x^5-5*x^4-2*x^3-10*x^2)*ln(ln(3)+5+x)+4*x*exp(exp(5))+2*x^2)/(((4*ln(3)+20+4*x)*exp(exp(5))^2+(4*x*ln(3)+4*x^2+20*x)*exp(exp(5))+x^2*ln(3)+x^3+5*x^2)*ln(ln(3)+5+x)*ln(ln(ln(3)+5+x))^2+((-8*x*ln(3)-8*x^2-40*x)*exp(exp(5))^2+(-8*x^2*ln(3)-8*x^3-40*x^2)*exp(exp(5))-2*x^3*ln(3)-2*x^4-10*x^3)*ln(ln(3)+5+x)*ln(ln(ln(3)+5+x))+((4*x^2*ln(3)+4*x^3+20*x^2)*exp(exp(5))^2+(4*x^3*ln(3)+4*x^4+20*x^3)*exp(exp(5))+x^4*ln(3)+x^5+5*x^4)*ln(ln(3)+5+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{2 x}{\left(2 \,{\mathrm e}^{{\mathrm e}^{5}}+x \right) \left(x -\ln \left(\ln \left(\ln \left(3\right)+5+x \right)\right)\right)}$&$30$\\ \hline \end{longtable}"," ",0,"-x+2*x/(2*exp(exp(5))+x)/(x-ln(ln(ln(3)+5+x)))","A"
359,1,26,21,0.257000," ","int(1/2*((-2*ln(x^4/exp(x+1)^2)+x^2-2*x+4)*exp(ln(x^4/exp(x+1)^2)/x^2)+2*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{\frac{\ln \left(x^{4} {\mathrm e}^{-2 x -2}\right)}{x^{2}}} x}{2}+\frac{x^{2}}{2}$&$26$\\ risch&$\frac{x^{2}}{2}+\frac{x \,x^{\frac{4}{x^{2}}} \left({\mathrm e}^{x +1}\right)^{-\frac{2}{x^{2}}} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i x^{2}\right)^{3}-2 \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)-\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}-\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)-\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\mathrm{csgn}\left(i x^{4} {\mathrm e}^{-2 x -2}\right)^{3}-\mathrm{csgn}\left(i x^{4}\right) \mathrm{csgn}\left(i x^{4} {\mathrm e}^{-2 x -2}\right)^{2}-\mathrm{csgn}\left(i x^{4} {\mathrm e}^{-2 x -2}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-2 x -2}\right)+\mathrm{csgn}\left(i x^{4}\right) \mathrm{csgn}\left(i x^{4} {\mathrm e}^{-2 x -2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x -2}\right)+\mathrm{csgn}\left(i x^{3}\right)^{3}-\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\mathrm{csgn}\left(i x^{4}\right)^{3}-\mathrm{csgn}\left(i {\mathrm e}^{2 x +2}\right)^{3}+2 \mathrm{csgn}\left(i {\mathrm e}^{2 x +2}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x +1}\right)-\mathrm{csgn}\left(i {\mathrm e}^{2 x +2}\right) \mathrm{csgn}\left(i {\mathrm e}^{x +1}\right)^{2}\right)}{2 x^{2}}}}{2}$&$357$\\ \hline \end{longtable}"," ",0,"1/2*exp(ln(x^4/exp(x+1)^2)/x^2)*x+1/2*x^2","A"
360,1,43,20,0.061000," ","int((324*x^8+6804*x^7+57996*x^6+219996*x^5-3519936*x^3-14846976*x^2-27869184*x-21233664)/x^5/exp(1)^8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{81 \left(x^{8}+28 x^{7}+358 x^{6}+2716 x^{5}+43456 x^{3}+91648 x^{2}+114688 x +65536\right) {\mathrm e}^{-8}}{x^{4}}$&$43$\\ default&$324 \,{\mathrm e}^{-8} \left(\frac{x^{4}}{4}+7 x^{3}+\frac{179 x^{2}}{2}+679 x +\frac{22912}{x^{2}}+\frac{28672}{x^{3}}+\frac{10864}{x}+\frac{16384}{x^{4}}\right)$&$46$\\ risch&$81 \,{\mathrm e}^{-8} x^{4}+2268 \,{\mathrm e}^{-8} x^{3}+28998 \,{\mathrm e}^{-8} x^{2}+219996 \,{\mathrm e}^{-8} x +\frac{{\mathrm e}^{-8} \left(3519936 x^{3}+7423488 x^{2}+9289728 x +5308416\right)}{x^{4}}$&$49$\\ norman&$\frac{\left(5308416 \,{\mathrm e}^{-1}+9289728 \,{\mathrm e}^{-1} x +7423488 x^{2} {\mathrm e}^{-1}+3519936 \,{\mathrm e}^{-1} x^{3}+219996 \,{\mathrm e}^{-1} x^{5}+28998 \,{\mathrm e}^{-1} x^{6}+2268 \,{\mathrm e}^{-1} x^{7}+81 \,{\mathrm e}^{-1} x^{8}\right) {\mathrm e}^{-7}}{x^{4}}$&$77$\\ \hline \end{longtable}"," ",0,"81*(x^8+28*x^7+358*x^6+2716*x^5+43456*x^3+91648*x^2+114688*x+65536)/exp(1)^8/x^4","B"
361,1,50,25,0.132000," ","int(((108*x^5-378*x^4+360*x^3+32*x^2-128*x)*exp(2*x)^2+(324*x^5-540*x^4-504*x^3+864*x^2)*exp(2*x)+459*x^4-1188*x^3-144*x^2+64*x)/(27*x^3-108*x^2+144*x-64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{17 x^{2}}{2}+24 x +\frac{\frac{256 x}{3}-\frac{256}{3}}{x^{2}-\frac{8}{3} x +\frac{16}{9}}+x^{2} {\mathrm e}^{4 x}+\frac{18 x^{3} {\mathrm e}^{2 x}}{3 x -4}$&$50$\\ derivativedivides&$\frac{1024}{\left(6 x -8\right)^{2}}+\frac{512}{6 x -8}+24 x +\frac{17 x^{2}}{2}+\frac{256 \,{\mathrm e}^{2 x}}{9 \left(2 x -\frac{8}{3}\right)}+\frac{32 \,{\mathrm e}^{2 x}}{3}+8 x \,{\mathrm e}^{2 x}+6 \,{\mathrm e}^{2 x} x^{2}+x^{2} {\mathrm e}^{4 x}$&$73$\\ default&$\frac{1024}{\left(6 x -8\right)^{2}}+\frac{512}{6 x -8}+24 x +\frac{17 x^{2}}{2}+\frac{256 \,{\mathrm e}^{2 x}}{9 \left(2 x -\frac{8}{3}\right)}+\frac{32 \,{\mathrm e}^{2 x}}{3}+8 x \,{\mathrm e}^{2 x}+6 \,{\mathrm e}^{2 x} x^{2}+x^{2} {\mathrm e}^{4 x}$&$73$\\ norman&$\frac{-\frac{64 x}{3}+12 x^{3}+\frac{153 x^{4}}{2}+16 x^{2} {\mathrm e}^{4 x}-24 x^{3} {\mathrm e}^{4 x}+9 x^{4} {\mathrm e}^{4 x}-72 \,{\mathrm e}^{2 x} x^{3}+54 \,{\mathrm e}^{2 x} x^{4}+\frac{128}{9}}{\left(3 x -4\right)^{2}}$&$75$\\ \hline \end{longtable}"," ",0,"17/2*x^2+24*x+(256/3*x-256/3)/(x^2-8/3*x+16/9)+x^2*exp(4*x)+18*x^3/(3*x-4)*exp(2*x)","A"
362,1,38,26,0.209000," ","int((((-3-x)*exp(1)*ln(3+x)^2+((-10*x-30)*exp(1)-3-x)*ln(3+x)+(-25*x-75)*exp(1)-4*x-15)*exp((x*exp(1)*ln(3+x)+5*x*exp(1)+x)/(exp(1)*ln(3+x)+5*exp(1)))+(3+x)*exp(1)*ln(3+x)^2+(10*x+30)*exp(1)*ln(3+x)+(25*x+75)*exp(1))*exp(-exp((x*exp(1)*ln(3+x)+5*x*exp(1)+x)/(exp(1)*ln(3+x)+5*exp(1)))+x+1)/(((3+x)*exp(1)*ln(3+x)^2+(10*x+30)*exp(1)*ln(3+x)+(25*x+75)*exp(1))*exp(-exp((x*exp(1)*ln(3+x)+5*x*exp(1)+x)/(exp(1)*ln(3+x)+5*exp(1)))+x+1)+(2*x+6)*exp(1)*ln(3+x)^2+(20*x+60)*exp(1)*ln(3+x)+(50*x+150)*exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-1+\ln \left({\mathrm e}^{-{\mathrm e}^{\frac{x \left({\mathrm e} \ln \left(3+x \right)+5 \,{\mathrm e}+1\right) {\mathrm e}^{-1}}{\ln \left(3+x \right)+5}}+x +1}+2\right)$&$38$\\ \hline \end{longtable}"," ",0,"-1+ln(exp(-exp(x*(exp(1)*ln(3+x)+5*exp(1)+1)*exp(-1)/(ln(3+x)+5))+x+1)+2)","A"
363,1,147,27,0.050000," ","int(1/8*((36*x^8+252*x^7+630*x^6+600*x^5+2*x^4-276*x^3-72*x^2+16*x)*ln(3*x)^2+(81*x^9+585*x^8+1542*x^7+1650*x^6+245*x^5-687*x^4-256*x^3+80*x^2+32*x+16)*ln(3*x)+45*x^10+333*x^9+912*x^8+1050*x^7+243*x^6-399*x^5-124*x^4+156*x^3+60*x^2-16*x-16)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(\frac{9}{2} x^{8}+36 x^{7}+105 x^{6}+120 x^{5}+\frac{1}{2} x^{4}-92 x^{3}-36 x^{2}+16 x +8\right) \ln \left(3 x \right)^{2}}{8}+\frac{\left(9 x^{9}+72 x^{8}+210 x^{7}+240 x^{6}+x^{5}-172 x^{4}-24 x^{3}+76 x^{2}\right) \ln \left(3 x \right)}{8}+\frac{9 x^{10}}{16}+\frac{9 x^{9}}{2}+\frac{105 x^{8}}{8}+15 x^{7}+\frac{x^{6}}{16}-10 x^{5}+\frac{3 x^{4}}{2}+\frac{15 x^{3}}{2}-x^{2}-2 x -2 \ln \left(x \right)$&$147$\\ derivativedivides&$-2 x -2 \ln \left(3 x \right)+\ln \left(3 x \right)^{2}+2 x \ln \left(3 x \right)^{2}-3 x^{3} \ln \left(3 x \right)+15 x^{7}+\frac{105 x^{8}}{8}+\frac{9 x^{10}}{16}+\frac{9 x^{9}}{2}+\frac{x^{6}}{16}-10 x^{5}+\frac{3 x^{4}}{2}+\frac{15 x^{3}}{2}-x^{2}+\frac{19 x^{2} \ln \left(3 x \right)}{2}-\frac{23 x^{3} \ln \left(3 x \right)^{2}}{2}-\frac{9 x^{2} \ln \left(3 x \right)^{2}}{2}+\frac{9 \ln \left(3 x \right)^{2} x^{8}}{16}+\frac{9 \ln \left(3 x \right) x^{9}}{8}+\frac{9 \ln \left(3 x \right)^{2} x^{7}}{2}+9 \ln \left(3 x \right) x^{8}+\frac{105 \ln \left(3 x \right)^{2} x^{6}}{8}+\frac{105 \ln \left(3 x \right) x^{7}}{4}+15 \ln \left(3 x \right)^{2} x^{5}+30 \ln \left(3 x \right) x^{6}+\frac{\ln \left(3 x \right)^{2} x^{4}}{16}+\frac{\ln \left(3 x \right) x^{5}}{8}-\frac{43 \ln \left(3 x \right) x^{4}}{2}$&$220$\\ default&$-2 x -2 \ln \left(3 x \right)+\ln \left(3 x \right)^{2}+2 x \ln \left(3 x \right)^{2}-3 x^{3} \ln \left(3 x \right)+15 x^{7}+\frac{105 x^{8}}{8}+\frac{9 x^{10}}{16}+\frac{9 x^{9}}{2}+\frac{x^{6}}{16}-10 x^{5}+\frac{3 x^{4}}{2}+\frac{15 x^{3}}{2}-x^{2}+\frac{19 x^{2} \ln \left(3 x \right)}{2}-\frac{23 x^{3} \ln \left(3 x \right)^{2}}{2}-\frac{9 x^{2} \ln \left(3 x \right)^{2}}{2}+\frac{9 \ln \left(3 x \right)^{2} x^{8}}{16}+\frac{9 \ln \left(3 x \right) x^{9}}{8}+\frac{9 \ln \left(3 x \right)^{2} x^{7}}{2}+9 \ln \left(3 x \right) x^{8}+\frac{105 \ln \left(3 x \right)^{2} x^{6}}{8}+\frac{105 \ln \left(3 x \right) x^{7}}{4}+15 \ln \left(3 x \right)^{2} x^{5}+30 \ln \left(3 x \right) x^{6}+\frac{\ln \left(3 x \right)^{2} x^{4}}{16}+\frac{\ln \left(3 x \right) x^{5}}{8}-\frac{43 \ln \left(3 x \right) x^{4}}{2}$&$220$\\ \hline \end{longtable}"," ",0,"1/8*(9/2*x^8+36*x^7+105*x^6+120*x^5+1/2*x^4-92*x^3-36*x^2+16*x+8)*ln(3*x)^2+1/8*(9*x^9+72*x^8+210*x^7+240*x^6+x^5-172*x^4-24*x^3+76*x^2)*ln(3*x)+9/16*x^10+9/2*x^9+105/8*x^8+15*x^7+1/16*x^6-10*x^5+3/2*x^4+15/2*x^3-x^2-2*x-2*ln(x)","B"
364,1,66,24,0.171000," ","int((((1024*x^2-4096*x-512)*exp(2)^4+(128*x^3-512*x^2-32*x)*exp(2)^2+4*x^4-16*x^3)*exp(x^2-8*x+16)^2+((1024*x^3-4096*x^2-512*x)*exp(2)^4+(128*x^4-512*x^3)*exp(2)^2+4*x^5-16*x^4+2*x^3)*exp(x^2-8*x+16)+32*x^3*exp(2)^2+2*x^4)/x^3/exp(2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$32 x \,{\mathrm e}^{-4}+{\mathrm e}^{-8} x^{2}+\frac{\left(256 \,{\mathrm e}^{8}+32 x \,{\mathrm e}^{4}+x^{2}\right) {\mathrm e}^{2 \left(x -2\right) \left(x -6\right)}}{x^{2}}+\frac{2 \left(256 \,{\mathrm e}^{8}+32 x \,{\mathrm e}^{4}+x^{2}\right) {\mathrm e}^{x^{2}-8 x +8}}{x}$&$66$\\ norman&$\frac{\left({\mathrm e}^{-2} x^{4}+x^{2} {\mathrm e}^{-2} {\mathrm e}^{2 x^{2}-16 x +32}+32 x^{3} {\mathrm e}^{2}+256 \,{\mathrm e}^{6} {\mathrm e}^{2 x^{2}-16 x +32}+512 x \,{\mathrm e}^{6} {\mathrm e}^{x^{2}-8 x +16}+64 x^{2} {\mathrm e}^{2} {\mathrm e}^{x^{2}-8 x +16}+2 \,{\mathrm e}^{-2} x^{3} {\mathrm e}^{x^{2}-8 x +16}+32 \,{\mathrm e}^{2} x \,{\mathrm e}^{2 x^{2}-16 x +32}\right) {\mathrm e}^{-6}}{x^{2}}$&$127$\\ \hline \end{longtable}"," ",0,"32*x*exp(-4)+exp(-8)*x^2+1/x^2*(256*exp(8)+32*x*exp(4)+x^2)*exp(2*(x-2)*(x-6))+2/x*(256*exp(8)+32*x*exp(4)+x^2)*exp(x^2-8*x+8)","B"
365,1,27,19,0.048000," ","int((60*x^2-5*x-60)/((30*x^3-45*x^2)*ln((-2*x^2+3*x)*ln(ln(2)))+6*x^3-49*x^2+60*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\left(-2 x^{2}+3 x \right) \ln \left(\ln \left(2\right)\right)\right)+\frac{3 x -20}{15 x}\right)$&$27$\\ norman&$-\ln \left(x \right)+\ln \left(15 x \ln \left(\left(-2 x^{2}+3 x \right) \ln \left(\ln \left(2\right)\right)\right)+3 x -20\right)$&$29$\\ \hline \end{longtable}"," ",0,"ln(ln((-2*x^2+3*x)*ln(ln(2)))+1/15/x*(3*x-20))","A"
366,1,15,14,0.018000," ","int((-4*ln(x)^2+2*ln(x)-15*x^2)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(x \right)^{2}}{x^{4}}+\frac{15}{2 x^{2}}$&$15$\\ norman&$\frac{\ln \left(x \right)^{2}+\frac{15 x^{2}}{2}}{x^{4}}$&$15$\\ risch&$\frac{\ln \left(x \right)^{2}}{x^{4}}+\frac{15}{2 x^{2}}$&$15$\\ \hline \end{longtable}"," ",0,"1/x^4*ln(x)^2+15/2/x^2","A"
367,1,23,14,0.257000," ","int(((480*exp(25)-40*x)*ln(12*exp(25)-x)-40*x+80)/(12*exp(25)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$40 \ln \left(12 \,{\mathrm e}^{25}-x \right) x -80 \ln \left(x -12 \,{\mathrm e}^{25}\right)$&$23$\\ norman&$-80 \ln \left(12 \,{\mathrm e}^{25}-x \right)+40 \ln \left(12 \,{\mathrm e}^{25}-x \right) x$&$25$\\ derivativedivides&$-40 \left(12 \,{\mathrm e}^{25}-x \right) \ln \left(12 \,{\mathrm e}^{25}-x \right)+480 \ln \left(12 \,{\mathrm e}^{25}-x \right) {\mathrm e}^{25}-80 \ln \left(12 \,{\mathrm e}^{25}-x \right)$&$45$\\ default&$-40 \left(12 \,{\mathrm e}^{25}-x \right) \ln \left(12 \,{\mathrm e}^{25}-x \right)+480 \ln \left(12 \,{\mathrm e}^{25}-x \right) {\mathrm e}^{25}-80 \ln \left(12 \,{\mathrm e}^{25}-x \right)$&$45$\\ \hline \end{longtable}"," ",0,"40*ln(12*exp(25)-x)*x-80*ln(x-12*exp(25))","A"
368,1,302,26,0.659000," ","int((((x-1)*exp(x^2)^3+(15*x-15)*exp(x^2)^2+(75*x-75)*exp(x^2)+125*x-125)*ln(x*exp(exp(4)^2/(exp(x^2)^2+10*exp(x^2)+25))/(4*x-4))*ln(ln(x*exp(exp(4)^2/(exp(x^2)^2+10*exp(x^2)+25))/(4*x-4)))-exp(x^2)^3-15*exp(x^2)^2+((-4*x^3+4*x^2)*exp(4)^2-75)*exp(x^2)-125)/((x-1)*exp(x^2)^3+(15*x-15)*exp(x^2)^2+(75*x-75)*exp(x^2)+125*x-125)/ln(x*exp(exp(4)^2/(exp(x^2)^2+10*exp(x^2)+25))/(4*x-4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-2 \ln \left(2\right)+\ln \left(x \right)+\ln \left({\mathrm e}^{\frac{{\mathrm e}^{8}}{{\mathrm e}^{2 x^{2}}+10 \,{\mathrm e}^{x^{2}}+25}}\right)-\ln \left(x -1\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{{\mathrm e}^{8}}{{\mathrm e}^{2 x^{2}}+10 \,{\mathrm e}^{x^{2}}+25}}}{x -1}\right) \left(-\mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{{\mathrm e}^{8}}{{\mathrm e}^{2 x^{2}}+10 \,{\mathrm e}^{x^{2}}+25}}}{x -1}\right)+\mathrm{csgn}\left(i {\mathrm e}^{\frac{{\mathrm e}^{8}}{{\mathrm e}^{2 x^{2}}+10 \,{\mathrm e}^{x^{2}}+25}}\right)\right) \left(-\mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{{\mathrm e}^{8}}{{\mathrm e}^{2 x^{2}}+10 \,{\mathrm e}^{x^{2}}+25}}}{x -1}\right)+\mathrm{csgn}\left(\frac{i}{x -1}\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{{\mathrm e}^{2 x^{2}}+10 \,{\mathrm e}^{x^{2}}+25}}}{x -1}\right) \left(-\mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{{\mathrm e}^{2 x^{2}}+10 \,{\mathrm e}^{x^{2}}+25}}}{x -1}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{{\mathrm e}^{2 x^{2}}+10 \,{\mathrm e}^{x^{2}}+25}}}{x -1}\right)+\mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{{\mathrm e}^{8}}{{\mathrm e}^{2 x^{2}}+10 \,{\mathrm e}^{x^{2}}+25}}}{x -1}\right)\right)}{2}\right) x$&$302$\\ \hline \end{longtable}"," ",0,"ln(-2*ln(2)+ln(x)+ln(exp(exp(8)/(exp(2*x^2)+10*exp(x^2)+25)))-ln(x-1)-1/2*I*Pi*csgn(I*exp(exp(8)/(exp(2*x^2)+10*exp(x^2)+25))/(x-1))*(-csgn(I*exp(exp(8)/(exp(2*x^2)+10*exp(x^2)+25))/(x-1))+csgn(I*exp(exp(8)/(exp(2*x^2)+10*exp(x^2)+25))))*(-csgn(I*exp(exp(8)/(exp(2*x^2)+10*exp(x^2)+25))/(x-1))+csgn(I/(x-1)))-1/2*I*Pi*csgn(I*x/(x-1)*exp(exp(8)/(exp(2*x^2)+10*exp(x^2)+25)))*(-csgn(I*x/(x-1)*exp(exp(8)/(exp(2*x^2)+10*exp(x^2)+25)))+csgn(I*x))*(-csgn(I*x/(x-1)*exp(exp(8)/(exp(2*x^2)+10*exp(x^2)+25)))+csgn(I*exp(exp(8)/(exp(2*x^2)+10*exp(x^2)+25))/(x-1))))*x","C"
369,1,29,29,0.065000," ","int((((-25*x^3-350*x^2+350*x)*ln(5)+100*x^5-400*x^4+400*x^3)*ln(x)+(x^2+14*x+49)*ln(5)^2+(8*x^4+96*x^3+168*x^2-784*x)*ln(5)+16*x^6+160*x^5-48*x^4-2240*x^3+3136*x^2)/((x^3+14*x^2+49*x)*ln(5)^2+(8*x^5+96*x^4+168*x^3-784*x^2)*ln(5)+16*x^7+160*x^6-48*x^5-2240*x^4+3136*x^3)/exp((25*x^2-50*x)/((x+7)*ln(5)+4*x^3+20*x^2-56*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{25 \left(x -2\right) x}{\left(x +7\right) \left(4 x^{2}+\ln \left(5\right)-8 x \right)}} \ln \left(x \right)$&$29$\\ \hline \end{longtable}"," ",0,"exp(-25*(x-2)*x/(x+7)/(4*x^2+ln(5)-8*x))*ln(x)","A"
370,1,26,26,0.020000," ","int(1/5*(-90*x^2+12*x-60)*ln(x)+12*x^2+6/5*x-11,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-30 x^{3}+6 x^{2}-60 x \right) \ln \left(x \right)}{5}+6 x^{3}+x$&$26$\\ default&$x +6 x^{3}-6 x^{3} \ln \left(x \right)+\frac{6 x^{2} \ln \left(x \right)}{5}-12 x \ln \left(x \right)$&$27$\\ norman&$x +6 x^{3}-6 x^{3} \ln \left(x \right)+\frac{6 x^{2} \ln \left(x \right)}{5}-12 x \ln \left(x \right)$&$27$\\ \hline \end{longtable}"," ",0,"1/5*(-30*x^3+6*x^2-60*x)*ln(x)+6*x^3+x","A"
371,1,19,19,0.035000," ","int(1/2*((exp(1)+30)*exp(x)+15*x^2-30*x)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x \,{\mathrm e}}{2}+15 x -\frac{15 x^{2} {\mathrm e}^{-x}}{2}$&$19$\\ risch&$\frac{x \,{\mathrm e}}{2}+15 x -\frac{15 x^{2} {\mathrm e}^{-x}}{2}$&$19$\\ norman&$\left(\left(\frac{{\mathrm e}}{2}+15\right) x \,{\mathrm e}^{x}-\frac{15 x^{2}}{2}\right) {\mathrm e}^{-x}$&$22$\\ \hline \end{longtable}"," ",0,"15*x-15/2*x^2/exp(x)+1/2*x*exp(1)","A"
372,1,18,13,0.117000," ","int((4*x*exp(3)*exp(2*x)+exp(3))*exp(exp(2*x))^2+4*exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \,{\mathrm e}^{3} {\mathrm e}^{2 \,{\mathrm e}^{2 x}}+4 x \,{\mathrm e}^{3}$&$18$\\ norman&$x \,{\mathrm e}^{3} {\mathrm e}^{2 \,{\mathrm e}^{2 x}}+4 x \,{\mathrm e}^{3}$&$18$\\ risch&$x \,{\mathrm e}^{3+2 \,{\mathrm e}^{2 x}}+4 x \,{\mathrm e}^{3}$&$18$\\ \hline \end{longtable}"," ",0,"x*exp(3)*exp(exp(2*x))^2+4*x*exp(3)","A"
373,1,27,27,8.100000," ","int(((48*x+12)*ln(-12/(20*x+5))^2+(-2304*ln(2)+1152*exp(3)+96*x)*ln(-12/(20*x+5)))/(4*(576*x+144)*ln(2)^2+2*((-1152*x-288)*exp(3)-96*x^2-24*x)*ln(2)+(576*x+144)*exp(3)^2+(96*x^2+24*x)*exp(3)+4*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{12 \ln \left(-\frac{12}{20 x +5}\right)^{2}}{x +12 \,{\mathrm e}^{3}-24 \ln \left(2\right)}$&$27$\\ risch&$-\frac{12 \ln \left(-\frac{12}{20 x +5}\right)^{2}}{x +12 \,{\mathrm e}^{3}-24 \ln \left(2\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-12*ln(-12/(20*x+5))^2/(x+12*exp(3)-24*ln(2))","A"
374,1,27,29,0.239000," ","int(((exp(x)*x^2+2*(2*x^2+4*x+2)*ln(2)+(2*x^2+4*x+2)*exp(16))*exp((2*ln(2)+exp(16))/exp(x)/x)^2+(2*x^4+4*x^3+2*x^2)*exp(x))/(2*x^4+4*x^3+2*x^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{{\mathrm e}^{\frac{2 \left(2 \ln \left(2\right)+{\mathrm e}^{16}\right) {\mathrm e}^{-x}}{x}}}{2 \left(x +1\right)}$&$27$\\ norman&$\frac{\left({\mathrm e}^{x} x^{3}-{\mathrm e}^{x} x -\frac{{\mathrm e}^{x} x \,{\mathrm e}^{\frac{2 \left(2 \ln \left(2\right)+{\mathrm e}^{16}\right) {\mathrm e}^{-x}}{x}}}{2}\right) {\mathrm e}^{-x}}{x \left(x +1\right)}$&$49$\\ \hline \end{longtable}"," ",0,"x-1/2/(x+1)*exp(2*(2*ln(2)+exp(16))*exp(-x)/x)","A"
375,1,16,17,0.028000," ","int((-3*x^3-25*x^2-60*x-16)/(x^3+8*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x -\ln \left(x \right)+\frac{4}{4+x}$&$16$\\ risch&$-3 x -\ln \left(x \right)+\frac{4}{4+x}$&$16$\\ norman&$\frac{-3 x^{2}+52}{4+x}-\ln \left(x \right)$&$19$\\ \hline \end{longtable}"," ",0,"-3*x-ln(x)+4/(4+x)","A"
376,1,25,19,0.081000," ","int((9*(-4*x^2-10*x-6)*ln(2)^2+3*(6*x^3+16*x^2+10*x)*ln(2)-2*x^4-6*x^3-4*x^2)/x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(3 x \ln \left(2\right)-x^{2}+3 \ln \left(2\right)-x \right)^{2}}{x^{6}}$&$25$\\ norman&$\frac{x^{4}+\left(18 \ln \left(2\right)^{2}-6 \ln \left(2\right)\right) x +\left(-6 \ln \left(2\right)+2\right) x^{3}+\left(9 \ln \left(2\right)^{2}-12 \ln \left(2\right)+1\right) x^{2}+9 \ln \left(2\right)^{2}}{x^{6}}$&$54$\\ risch&$\frac{x^{4}+\left(18 \ln \left(2\right)^{2}-6 \ln \left(2\right)\right) x +\left(-6 \ln \left(2\right)+2\right) x^{3}+\left(9 \ln \left(2\right)^{2}-12 \ln \left(2\right)+1\right) x^{2}+9 \ln \left(2\right)^{2}}{x^{6}}$&$54$\\ default&$\frac{1}{x^{2}}-\frac{2 \left(9 \ln \left(2\right)-3\right)}{3 x^{3}}+\frac{9 \ln \left(2\right)^{2}}{x^{6}}-\frac{-18 \ln \left(2\right)^{2}+24 \ln \left(2\right)-2}{2 x^{4}}+\frac{6 \ln \left(2\right) \left(3 \ln \left(2\right)-1\right)}{x^{5}}$&$55$\\ \hline \end{longtable}"," ",0,"(3*x*ln(2)-x^2+3*ln(2)-x)^2/x^6","A"
377,1,386,26,0.290000," ","int((((8*x^2+12*x+4)*exp(exp(4)^2)+(-8*x^2-12*x-4)*exp(1)-8*x^4-20*x^3+20*x+10)*ln(x+1)+(-8*x^2-12*x-4)*exp(exp(4)^2)^3+((24*x^2+36*x+12)*exp(1)+24*x^4+60*x^3-60*x-26)*exp(exp(4)^2)^2+((-24*x^2-36*x-12)*exp(1)^2+(-48*x^4-120*x^3+120*x+52)*exp(1)-24*x^6-84*x^5-12*x^4+180*x^3+88*x^2-92*x-56)*exp(exp(4)^2)+(8*x^2+12*x+4)*exp(1)^3+(24*x^4+60*x^3-60*x-26)*exp(1)^2+(24*x^6+84*x^5+12*x^4-180*x^3-88*x^2+92*x+56)*exp(1)+8*x^8+36*x^7+16*x^6-112*x^5-98*x^4+120*x^3+110*x^2-40*x-40)/(x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{8}+\ln \left(x +1\right)^{2}+\left(-20+12 \,{\mathrm e}-12 \,{\mathrm e}^{{\mathrm e}^{8}}\right) x^{5}+\left(-2+4 \,{\mathrm e}-4 \,{\mathrm e}^{{\mathrm e}^{8}}\right) x^{6}+\left(1-12 \,{\mathrm e}+12 \,{\mathrm e}^{{\mathrm e}^{8}}+6 \,{\mathrm e}^{2}+6 \,{\mathrm e}^{2 \,{\mathrm e}^{8}}-12 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{8}}\right) x^{4}+\left(40-44 \,{\mathrm e}+44 \,{\mathrm e}^{{\mathrm e}^{8}}+12 \,{\mathrm e}^{2}+12 \,{\mathrm e}^{2 \,{\mathrm e}^{8}}-24 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{8}}\right) x^{3}+\left(-2 \,{\mathrm e}^{2}+4 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{8}}-2 \,{\mathrm e}^{2 \,{\mathrm e}^{8}}+8 \,{\mathrm e}-8 \,{\mathrm e}^{{\mathrm e}^{8}}-8\right) \ln \left(x +1\right)+\left(-32+48 \,{\mathrm e}-48 \,{\mathrm e}^{{\mathrm e}^{8}}-24 \,{\mathrm e}^{2}-24 \,{\mathrm e}^{2 \,{\mathrm e}^{8}}+48 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{8}}-4 \,{\mathrm e}^{3 \,{\mathrm e}^{8}}+4 \,{\mathrm e}^{3}-12 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{8}}+12 \,{\mathrm e} \,{\mathrm e}^{2 \,{\mathrm e}^{8}}\right) x +\left(-8+24 \,{\mathrm e}-24 \,{\mathrm e}^{{\mathrm e}^{8}}-18 \,{\mathrm e}^{2}-18 \,{\mathrm e}^{2 \,{\mathrm e}^{8}}+36 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{8}}-4 \,{\mathrm e}^{3 \,{\mathrm e}^{8}}+4 \,{\mathrm e}^{3}-12 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{8}}+12 \,{\mathrm e} \,{\mathrm e}^{2 \,{\mathrm e}^{8}}\right) x^{2}+\left(6-4 \,{\mathrm e}+4 \,{\mathrm e}^{{\mathrm e}^{8}}\right) x^{2} \ln \left(x +1\right)+\left(8-4 \,{\mathrm e}+4 \,{\mathrm e}^{{\mathrm e}^{8}}\right) x \ln \left(x +1\right)+4 x^{7}-4 \ln \left(x +1\right) x^{3}-2 \ln \left(x +1\right) x^{4}$&$386$\\ risch&$-32 x -24 \,{\mathrm e}^{2} x +\ln \left(x +1\right)^{2}-8 \ln \left(x +1\right)+4 x^{7}+x^{8}-2 x^{6}-20 x^{5}+x^{4}+40 x^{3}-8 x^{2}+12 x^{5} {\mathrm e}+12 x^{3} {\mathrm e}^{2}-18 x^{2} {\mathrm e}^{2}+6 x^{4} {\mathrm e}^{2}+48 x \,{\mathrm e}+4 x \,{\mathrm e}^{3}+24 x^{2} {\mathrm e}-44 x^{3} {\mathrm e}+4 x^{2} {\mathrm e}^{3}-12 x^{4} {\mathrm e}+48 x \,{\mathrm e}^{1+{\mathrm e}^{8}}+36 x^{2} {\mathrm e}^{1+{\mathrm e}^{8}}+4 \ln \left(x +1\right) {\mathrm e}^{1+{\mathrm e}^{8}}-24 x^{3} {\mathrm e}^{1+{\mathrm e}^{8}}-12 x \,{\mathrm e}^{2+{\mathrm e}^{8}}+12 x \,{\mathrm e}^{1+2 \,{\mathrm e}^{8}}-12 x^{2} {\mathrm e}^{2+{\mathrm e}^{8}}+12 x^{2} {\mathrm e}^{1+2 \,{\mathrm e}^{8}}-12 x^{4} {\mathrm e}^{1+{\mathrm e}^{8}}-2 \,{\mathrm e}^{2} \ln \left(x +1\right)-2 \ln \left(x +1\right) {\mathrm e}^{2 \,{\mathrm e}^{8}}-8 \ln \left(x +1\right) {\mathrm e}^{{\mathrm e}^{8}}-48 \,{\mathrm e}^{{\mathrm e}^{8}} x -24 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} x +\left(-2 x^{4}-4 x^{2} {\mathrm e}+4 \,{\mathrm e}^{{\mathrm e}^{8}} x^{2}-4 x^{3}-4 x \,{\mathrm e}+4 \,{\mathrm e}^{{\mathrm e}^{8}} x +6 x^{2}+8 x \right) \ln \left(x +1\right)-24 \,{\mathrm e}^{{\mathrm e}^{8}} x^{2}-4 \,{\mathrm e}^{3 \,{\mathrm e}^{8}} x +44 \,{\mathrm e}^{{\mathrm e}^{8}} x^{3}+12 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} x^{3}+12 \,{\mathrm e}^{{\mathrm e}^{8}} x^{4}-12 \,{\mathrm e}^{{\mathrm e}^{8}} x^{5}-4 \,{\mathrm e}^{3 \,{\mathrm e}^{8}} x^{2}-4 \,{\mathrm e}^{{\mathrm e}^{8}} x^{6}+6 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} x^{4}-18 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} x^{2}+8 \,{\mathrm e} \ln \left(x +1\right)+4 x^{6} {\mathrm e}$&$403$\\ derivativedivides&$32+32 x +\ln \left(x +1\right)^{2}+\left(x +1\right)^{4}-8 \left(x +1\right)^{2}-8 \ln \left(x +1\right)-2 \,{\mathrm e}^{2} \ln \left(x +1\right)-2 \ln \left(x +1\right) {\mathrm e}^{2 \,{\mathrm e}^{8}}-8 \ln \left(x +1\right) {\mathrm e}^{{\mathrm e}^{8}}+4 \ln \left(x +1\right) \left(x +1\right)^{3}+22 \,{\mathrm e} \left(x +1\right)^{2}+4 \,{\mathrm e} \left(\left(x +1\right) \ln \left(x +1\right)-x -1\right)+6 \ln \left(x +1\right) \left(x +1\right)^{2}-8 \,{\mathrm e} \left(\frac{\ln \left(x +1\right) \left(x +1\right)^{2}}{2}-\frac{\left(x +1\right)^{2}}{4}\right)+4 \,{\mathrm e} \left(x +1\right)^{6}-12 \,{\mathrm e} \left(x +1\right)^{5}-12 \,{\mathrm e} \left(x +1\right)^{4}-2 \ln \left(x +1\right) \left(x +1\right)^{4}+44 \,{\mathrm e} \left(x +1\right)^{3}+8 \,{\mathrm e} \ln \left(x +1\right)-44 \left(x +1\right) {\mathrm e}-8 \left(x +1\right) \ln \left(x +1\right)+24 \left(x +1\right) {\mathrm e}^{2}-4 \left(x +1\right) {\mathrm e}^{3}+\left(x +1\right)^{8}-4 \left(x +1\right)^{7}-2 \left(x +1\right)^{6}+20 \left(x +1\right)^{5}-40 \left(x +1\right)^{3}-18 \,{\mathrm e}^{2} \left(x +1\right)^{2}+4 \,{\mathrm e}^{3 \,{\mathrm e}^{8}} \left(x +1\right)-18 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} \left(x +1\right)^{2}-44 \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{3}+24 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} \left(x +1\right)-22 \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{2}+44 \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)-4 \,{\mathrm e}^{{\mathrm e}^{8}} \left(\left(x +1\right) \ln \left(x +1\right)-x -1\right)+8 \,{\mathrm e}^{{\mathrm e}^{8}} \left(\frac{\ln \left(x +1\right) \left(x +1\right)^{2}}{2}-\frac{\left(x +1\right)^{2}}{4}\right)-4 \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{6}+6 \,{\mathrm e}^{2} \left(x +1\right)^{4}+6 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} \left(x +1\right)^{4}+12 \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{5}+4 \,{\mathrm e}^{3} \left(x +1\right)^{2}-12 \,{\mathrm e}^{2} \left(x +1\right)^{3}-4 \,{\mathrm e}^{3 \,{\mathrm e}^{8}} \left(x +1\right)^{2}-12 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} \left(x +1\right)^{3}+12 \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{4}-12 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{4}-12 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{2}+12 \,{\mathrm e} \,{\mathrm e}^{2 \,{\mathrm e}^{8}} \left(x +1\right)^{2}+24 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{3}+12 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)-12 \,{\mathrm e} \,{\mathrm e}^{2 \,{\mathrm e}^{8}} \left(x +1\right)+36 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{2}-48 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)+4 \,{\mathrm e} \ln \left(x +1\right) {\mathrm e}^{{\mathrm e}^{8}}$&$624$\\ default&$32+32 x +\ln \left(x +1\right)^{2}+\left(x +1\right)^{4}-8 \left(x +1\right)^{2}-8 \ln \left(x +1\right)-2 \,{\mathrm e}^{2} \ln \left(x +1\right)-2 \ln \left(x +1\right) {\mathrm e}^{2 \,{\mathrm e}^{8}}-8 \ln \left(x +1\right) {\mathrm e}^{{\mathrm e}^{8}}+4 \ln \left(x +1\right) \left(x +1\right)^{3}+22 \,{\mathrm e} \left(x +1\right)^{2}+4 \,{\mathrm e} \left(\left(x +1\right) \ln \left(x +1\right)-x -1\right)+6 \ln \left(x +1\right) \left(x +1\right)^{2}-8 \,{\mathrm e} \left(\frac{\ln \left(x +1\right) \left(x +1\right)^{2}}{2}-\frac{\left(x +1\right)^{2}}{4}\right)+4 \,{\mathrm e} \left(x +1\right)^{6}-12 \,{\mathrm e} \left(x +1\right)^{5}-12 \,{\mathrm e} \left(x +1\right)^{4}-2 \ln \left(x +1\right) \left(x +1\right)^{4}+44 \,{\mathrm e} \left(x +1\right)^{3}+8 \,{\mathrm e} \ln \left(x +1\right)-44 \left(x +1\right) {\mathrm e}-8 \left(x +1\right) \ln \left(x +1\right)+24 \left(x +1\right) {\mathrm e}^{2}-4 \left(x +1\right) {\mathrm e}^{3}+\left(x +1\right)^{8}-4 \left(x +1\right)^{7}-2 \left(x +1\right)^{6}+20 \left(x +1\right)^{5}-40 \left(x +1\right)^{3}-18 \,{\mathrm e}^{2} \left(x +1\right)^{2}+4 \,{\mathrm e}^{3 \,{\mathrm e}^{8}} \left(x +1\right)-18 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} \left(x +1\right)^{2}-44 \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{3}+24 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} \left(x +1\right)-22 \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{2}+44 \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)-4 \,{\mathrm e}^{{\mathrm e}^{8}} \left(\left(x +1\right) \ln \left(x +1\right)-x -1\right)+8 \,{\mathrm e}^{{\mathrm e}^{8}} \left(\frac{\ln \left(x +1\right) \left(x +1\right)^{2}}{2}-\frac{\left(x +1\right)^{2}}{4}\right)-4 \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{6}+6 \,{\mathrm e}^{2} \left(x +1\right)^{4}+6 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} \left(x +1\right)^{4}+12 \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{5}+4 \,{\mathrm e}^{3} \left(x +1\right)^{2}-12 \,{\mathrm e}^{2} \left(x +1\right)^{3}-4 \,{\mathrm e}^{3 \,{\mathrm e}^{8}} \left(x +1\right)^{2}-12 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} \left(x +1\right)^{3}+12 \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{4}-12 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{4}-12 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{2}+12 \,{\mathrm e} \,{\mathrm e}^{2 \,{\mathrm e}^{8}} \left(x +1\right)^{2}+24 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{3}+12 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)-12 \,{\mathrm e} \,{\mathrm e}^{2 \,{\mathrm e}^{8}} \left(x +1\right)+36 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)^{2}-48 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{8}} \left(x +1\right)+4 \,{\mathrm e} \ln \left(x +1\right) {\mathrm e}^{{\mathrm e}^{8}}$&$624$\\ \hline \end{longtable}"," ",0,"x^8+ln(x+1)^2+(-20+12*exp(1)-12*exp(exp(4)^2))*x^5+(-2+4*exp(1)-4*exp(exp(4)^2))*x^6+(1-12*exp(1)+12*exp(exp(4)^2)+6*exp(1)^2+6*exp(exp(4)^2)^2-12*exp(1)*exp(exp(4)^2))*x^4+(40-44*exp(1)+44*exp(exp(4)^2)+12*exp(1)^2+12*exp(exp(4)^2)^2-24*exp(1)*exp(exp(4)^2))*x^3+(-2*exp(1)^2+4*exp(1)*exp(exp(4)^2)-2*exp(exp(4)^2)^2+8*exp(1)-8*exp(exp(4)^2)-8)*ln(x+1)+(-32+48*exp(1)-48*exp(exp(4)^2)-24*exp(1)^2-24*exp(exp(4)^2)^2+48*exp(1)*exp(exp(4)^2)-4*exp(exp(4)^2)^3+4*exp(1)^3-12*exp(1)^2*exp(exp(4)^2)+12*exp(1)*exp(exp(4)^2)^2)*x+(-8+24*exp(1)-24*exp(exp(4)^2)-18*exp(1)^2-18*exp(exp(4)^2)^2+36*exp(1)*exp(exp(4)^2)-4*exp(exp(4)^2)^3+4*exp(1)^3-12*exp(1)^2*exp(exp(4)^2)+12*exp(1)*exp(exp(4)^2)^2)*x^2+(6-4*exp(1)+4*exp(exp(4)^2))*x^2*ln(x+1)+(8-4*exp(1)+4*exp(exp(4)^2))*x*ln(x+1)+4*x^7-4*ln(x+1)*x^3-2*ln(x+1)*x^4","B"
378,0,0,22,0.019000," ","int((ln(3/x)*ln(ln(3))*ln(ln(3/x))+(-9*ln(3/x)+1)*ln(ln(3)))/(ln(3/x)*ln(ln(3/x))^2+(8*x-18)*ln(3/x)*ln(ln(3/x))+(16*x^2-72*x+81)*ln(3/x)),x)","\[\int \frac{\ln \left(\frac{3}{x}\right) \ln \left(\ln \left(3\right)\right) \ln \left(\ln \left(\frac{3}{x}\right)\right)+\left(-9 \ln \left(\frac{3}{x}\right)+1\right) \ln \left(\ln \left(3\right)\right)}{\ln \left(\frac{3}{x}\right) \ln \left(\ln \left(\frac{3}{x}\right)\right)^{2}+\left(8 x -18\right) \ln \left(\frac{3}{x}\right) \ln \left(\ln \left(\frac{3}{x}\right)\right)+\left(16 x^{2}-72 x +81\right) \ln \left(\frac{3}{x}\right)}\, dx\]"," ",0,"int((ln(3/x)*ln(ln(3))*ln(ln(3/x))+(-9*ln(3/x)+1)*ln(ln(3)))/(ln(3/x)*ln(ln(3/x))^2+(8*x-18)*ln(3/x)*ln(ln(3/x))+(16*x^2-72*x+81)*ln(3/x)),x)","F"
379,1,79,31,0.111000," ","int(((2*x^2*ln(2)-4*x^2)*exp(x^2)^4+(8*x^3*ln(2)-16*x^3)*exp(x^2)^3+(2*((-4*x^2-1)*ln(2)-4*x^3-2*x)*ln(2)+12*x^4*ln(2)-24*x^4)*exp(x^2)^2+(2*((-4*x^3-4*x)*ln(2)-4*x^4-6*x^2)*ln(2)+8*x^5*ln(2)-16*x^5)*exp(x^2)+2*(-3*x^2*ln(2)-4*x^3)*ln(2)+2*x^6*ln(2)-4*x^6)/((4*x^4+16*x^3+16*x^2)*exp(x^2)^4+(16*x^5+64*x^4+64*x^3)*exp(x^2)^3+(2*(4*x^2+8*x)*ln(2)+24*x^6+96*x^5+96*x^4)*exp(x^2)^2+(2*(8*x^3+16*x^2)*ln(2)+16*x^7+64*x^6+64*x^5)*exp(x^2)+4*ln(2)^2+2*(4*x^4+8*x^3)*ln(2)+4*x^8+16*x^7+16*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{2+x}-\frac{\ln \left(2\right)}{2 \left(2+x \right)}+\frac{\ln \left(2\right) \left(\ln \left(2\right)+x \right)}{2 \left(2+x \right) \left(x^{2} {\mathrm e}^{2 x^{2}}+2 x^{3} {\mathrm e}^{x^{2}}+x^{4}+2 x \,{\mathrm e}^{2 x^{2}}+4 x^{2} {\mathrm e}^{x^{2}}+2 x^{3}+\ln \left(2\right)\right)}$&$79$\\ \hline \end{longtable}"," ",0,"1/(2+x)-1/2*ln(2)/(2+x)+1/2*ln(2)*(ln(2)+x)/(2+x)/(x^2*exp(2*x^2)+2*x^3*exp(x^2)+x^4+2*x*exp(2*x^2)+4*x^2*exp(x^2)+2*x^3+ln(2))","B"
380,1,33,20,0.052000," ","int((((2*exp(x)-2)*exp(exp(x))+6-2*x)*ln(-exp(exp(x))+2-x)+(-2*exp(x)*x+2*x+1)*exp(exp(x))+2*x^2-5*x-2)/(exp(exp(x))+x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-2 \ln \left(-{\mathrm e}^{{\mathrm e}^{x}}+2-x \right) x +\ln \left(-{\mathrm e}^{{\mathrm e}^{x}}+2-x \right)^{2}+x$&$33$\\ \hline \end{longtable}"," ",0,"x^2-2*ln(-exp(exp(x))+2-x)*x+ln(-exp(exp(x))+2-x)^2+x","A"
381,1,19,18,0.025000," ","int(1/2*(-exp(1/exp(x)^2)+(-6*x^2+36*x)*exp(x)^2)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{3}+9 x^{2}+\frac{{\mathrm e}^{{\mathrm e}^{-2 x}}}{4}$&$19$\\ risch&$-x^{3}+9 x^{2}+\frac{{\mathrm e}^{{\mathrm e}^{-2 x}}}{4}$&$19$\\ norman&$\left(9 \,{\mathrm e}^{2 x} x^{2}-{\mathrm e}^{2 x} x^{3}+\frac{{\mathrm e}^{2 x} {\mathrm e}^{{\mathrm e}^{-2 x}}}{4}\right) {\mathrm e}^{-2 x}$&$36$\\ \hline \end{longtable}"," ",0,"-x^3+9*x^2+1/4*exp(1/exp(x)^2)","A"
382,1,28,21,0.082000," ","int((((8*x^4-64*x^2)*ln(x)+15*x^5+2*x^4-144*x^3-32*x^2+192*x+128)*exp(1/2*(2*x^4-32*x^2+128)*ln(x)+3/2*x^5-24*x^3+96*x)^2-x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2 \left(x^{2}-8\right)^{2}} {\mathrm e}^{3 x \left(x^{2}-8\right)^{2}}-x$&$28$\\ \hline \end{longtable}"," ",0,"(x^((x^2-8)^2))^2*exp(3*x*(x^2-8)^2)-x","A"
383,1,17,19,0.263000," ","int((2*exp(5)-7*x-2)*exp((-exp(5)+7*x-6)/(4*x^2-16*x+16))*exp(exp((-exp(5)+7*x-6)/(4*x^2-16*x+16)))/(4*x^3-24*x^2+48*x-32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{-\frac{{\mathrm e}^{5}-7 x +6}{4 \left(x -2\right)^{2}}}}$&$17$\\ norman&$\frac{x^{2} {\mathrm e}^{{\mathrm e}^{\frac{-{\mathrm e}^{5}+7 x -6}{4 x^{2}-16 x +16}}}-4 x \,{\mathrm e}^{{\mathrm e}^{\frac{-{\mathrm e}^{5}+7 x -6}{4 x^{2}-16 x +16}}}+4 \,{\mathrm e}^{{\mathrm e}^{\frac{-{\mathrm e}^{5}+7 x -6}{4 x^{2}-16 x +16}}}}{\left(x -2\right)^{2}}$&$89$\\ \hline \end{longtable}"," ",0,"exp(exp(-1/4*(exp(5)-7*x+6)/(x-2)^2))","A"
384,1,4,6,0.010000," ","int(3*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{3}$&$4$\\ default&$x^{3}$&$4$\\ norman&$x^{3}$&$4$\\ risch&$x^{3}$&$4$\\ \hline \end{longtable}"," ",0,"x^3","A"
385,1,32,27,0.395000," ","int(((-128*ln(1/x)^2*ln(x)^2+2560*ln(1/x)^2*ln(x)-12800*ln(1/x)^2+8*x-40)*ln(16*ln(1/x)^2*ln(x)^2-320*ln(1/x)^2*ln(x)+1600*ln(1/x)^2+5-x)+256*ln(1/x)*ln(x)^2+(-256*ln(1/x)^2-5120*ln(1/x))*ln(x)+2560*ln(1/x)^2+25600*ln(1/x)+8*x)/(16*x^3*ln(1/x)^2*ln(x)^2-320*x^3*ln(1/x)^2*ln(x)+1600*x^3*ln(1/x)^2-x^4+5*x^3)/ln(16*ln(1/x)^2*ln(x)^2-320*ln(1/x)^2*ln(x)+1600*ln(1/x)^2+5-x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{x^{2} \ln \left(16 \ln \left(x \right)^{4}-320 \ln \left(x \right)^{3}+1600 \ln \left(x \right)^{2}+5-x \right)^{2}}$&$32$\\ \hline \end{longtable}"," ",0,"4/x^2/ln(16*ln(x)^4-320*ln(x)^3+1600*ln(x)^2+5-x)^2","A"
386,1,16,15,0.101000," ","int((-4*exp(x)^2+(-2*x^2-2*x)*exp(x)-x^2)*exp(x/(2*exp(x)+x))/(4*exp(x)^2*x^2+4*exp(x)*x^3+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{x}{2 \,{\mathrm e}^{x}+x}}}{x}$&$16$\\ norman&$\frac{x \,{\mathrm e}^{\frac{x}{2 \,{\mathrm e}^{x}+x}}+2 \,{\mathrm e}^{x} {\mathrm e}^{\frac{x}{2 \,{\mathrm e}^{x}+x}}}{x \left(2 \,{\mathrm e}^{x}+x \right)}$&$42$\\ \hline \end{longtable}"," ",0,"exp(x/(2*exp(x)+x))/x","A"
387,1,39,22,0.060000," ","int(1/5*((-2*x^3-5*x^2+4*x+2)*ln(3*x)-10*x^3-24*x^2+23*x+8)/exp(2*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2}+3 x -2\right) {\mathrm e}^{-2 x} \ln \left(3 x \right)}{5 x}+\frac{\left(x^{2}+3 x -2\right) {\mathrm e}^{-2 x}}{x}$&$39$\\ norman&$\frac{\left(-2+x^{2}+3 x +\frac{3 x \ln \left(3 x \right)}{5}+\frac{x^{2} \ln \left(3 x \right)}{5}-\frac{2 \ln \left(3 x \right)}{5}\right) {\mathrm e}^{-2 x}}{x}$&$41$\\ \hline \end{longtable}"," ",0,"1/5*(x^2+3*x-2)/x*exp(-2*x)*ln(3*x)+(x^2+3*x-2)/x*exp(-2*x)","A"
388,1,22,21,0.190000," ","int(((20*x^2+4600*x)*ln(x^4)^2+(800*x^3+160*x^2+18400*x)*ln(x^4))/(25*x^4+10*x^3+1151*x^2+230*x+13225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{20 \ln \left(x^{4}\right)^{2} x^{2}}{5 x^{2}+x +115}$&$22$\\ \hline \end{longtable}"," ",0,"20*ln(x^4)^2*x^2/(5*x^2+x+115)","A"
389,1,13,21,0.017000," ","int(((2*x-1)*exp(1)+10)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-x +10 \,{\mathrm e}^{-1} x$&$13$\\ norman&$x^{2}-{\mathrm e}^{-1} \left({\mathrm e}-10\right) x$&$16$\\ gosper&$x \left(x \,{\mathrm e}-{\mathrm e}+10\right) {\mathrm e}^{-1}$&$17$\\ default&${\mathrm e}^{-1} \left({\mathrm e} \left(x^{2}-x \right)+10 x \right)$&$20$\\ \hline \end{longtable}"," ",0,"x^2-x+10*exp(-1)*x","A"
390,1,16,24,0.047000," ","int((x*exp(ln(exp(5)-4)+5)+x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x \,{\mathrm e}^{5}+x \,{\mathrm e}^{10}+x -\ln \left(x \right)$&$16$\\ default&$x \,{\mathrm e}^{\ln \left({\mathrm e}^{5}-4\right)+5}+x -\ln \left(x \right)$&$17$\\ norman&$\left({\mathrm e}^{10}-4 \,{\mathrm e}^{5}+1\right) x -\ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"-4*x*exp(5)+x*exp(10)+x-ln(x)","A"
391,1,20,26,0.069000," ","int(((7*x^2*ln(x)+14*x^2)*exp(7*x*ln(x)+7*x)+2*x^2+7)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{7 x \ln \left(x \right)+7 x}+2 x -\frac{7}{x}$&$20$\\ risch&$x^{7 x} {\mathrm e}^{7 x}+2 x -\frac{7}{x}$&$20$\\ norman&$\frac{-7+x \,{\mathrm e}^{7 x \ln \left(x \right)+7 x}+2 x^{2}}{x}$&$24$\\ \hline \end{longtable}"," ",0,"exp(7*x*ln(x)+7*x)+2*x-7/x","A"
392,1,11,12,0.040000," ","int((-ln(x)+4)/(x*ln(x)-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)+\ln \left(\ln \left(x \right)-3\right)$&$11$\\ norman&$-\ln \left(x \right)+\ln \left(\ln \left(x \right)-3\right)$&$11$\\ risch&$-\ln \left(x \right)+\ln \left(\ln \left(x \right)-3\right)$&$11$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(ln(x)-3)","A"
393,1,10,15,0.054000," ","int(4/(exp(x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\ln \left({\mathrm e}^{x}+4\right)$&$10$\\ risch&$x -\ln \left({\mathrm e}^{x}+4\right)$&$10$\\ derivativedivides&$-\ln \left({\mathrm e}^{x}+4\right)+\ln \left({\mathrm e}^{x}\right)$&$12$\\ default&$-\ln \left({\mathrm e}^{x}+4\right)+\ln \left({\mathrm e}^{x}\right)$&$12$\\ \hline \end{longtable}"," ",0,"x-ln(exp(x)+4)","A"
394,1,46,20,0.046000," ","int(1/25*((300*x^2-75)*exp(x^2+9)^2+(-540*x^4-1170*x^2+450)*exp(x^2+9)+729*x^4+810*x^2-675)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{27+\frac{162 x^{2}}{5}+\frac{243 x^{4}}{25}+3 \,{\mathrm e}^{2 x^{2}+18}-\frac{54 \,{\mathrm e}^{x^{2}+9} x^{2}}{5}-18 \,{\mathrm e}^{x^{2}+9}}{x}$&$46$\\ risch&$\frac{162 x}{5}+\frac{27}{x}+\frac{243 x^{3}}{25}+\frac{3 \,{\mathrm e}^{2 x^{2}+18}}{x}-\frac{18 \left(3 x^{2}+5\right) {\mathrm e}^{x^{2}+9}}{5 x}$&$46$\\ default&$\frac{162 x}{5}+\frac{27}{x}+\frac{243 x^{3}}{25}-\frac{117 \,{\mathrm e}^{9} \sqrt{\pi}\, \erfi \left(x \right)}{5}+3 \,{\mathrm e}^{18} \sqrt{2}\, \sqrt{\pi}\, \erfi \left(\sqrt{2}\, x \right)+18 \,{\mathrm e}^{9} \left(-\frac{{\mathrm e}^{x^{2}}}{x}+\sqrt{\pi}\, \erfi \left(x \right)\right)-3 \,{\mathrm e}^{18} \left(-\frac{{\mathrm e}^{2 x^{2}}}{x}+\sqrt{2}\, \sqrt{\pi}\, \erfi \left(\sqrt{2}\, x \right)\right)-\frac{108 \,{\mathrm e}^{9} \left(\frac{{\mathrm e}^{x^{2}} x}{2}-\frac{\sqrt{\pi}\, \erfi \left(x \right)}{4}\right)}{5}$&$112$\\ \hline \end{longtable}"," ",0,"(27+162/5*x^2+243/25*x^4+3*exp(x^2+9)^2-54/5*exp(x^2+9)*x^2-18*exp(x^2+9))/x","B"
395,0,0,25,0.090000," ","int(((25*x^3+25*x^2-162*x+162)*ln(x^2)-50*x^3+50*x^2)*exp(1/25*(-25*x^2*ln(ln(x^2))+25*x^2*ln(x^2-2*x+1)+25*x^2+81)/x^2)/(25*x^5-25*x^4)/ln(x^2),x)","\[\int \frac{\left(\left(25 x^{3}+25 x^{2}-162 x +162\right) \ln \left(x^{2}\right)-50 x^{3}+50 x^{2}\right) {\mathrm e}^{\frac{-25 x^{2} \ln \left(\ln \left(x^{2}\right)\right)+25 x^{2} \ln \left(x^{2}-2 x +1\right)+25 x^{2}+81}{25 x^{2}}}}{\left(25 x^{5}-25 x^{4}\right) \ln \left(x^{2}\right)}\, dx\]"," ",0,"int(((25*x^3+25*x^2-162*x+162)*ln(x^2)-50*x^3+50*x^2)*exp(1/25*(-25*x^2*ln(ln(x^2))+25*x^2*ln(x^2-2*x+1)+25*x^2+81)/x^2)/(25*x^5-25*x^4)/ln(x^2),x)","F"
396,1,14,15,0.028000," ","int((-2*ln(3*x)^2+2*ln(3*x)+x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(3 x \right)^{2}}{x^{2}}+\ln \left(x \right)$&$14$\\ derivativedivides&$\frac{\ln \left(3 x \right)^{2}}{x^{2}}+\ln \left(3 x \right)$&$16$\\ default&$\frac{\ln \left(3 x \right)^{2}}{x^{2}}+\ln \left(3 x \right)$&$16$\\ norman&$\frac{\ln \left(3 x \right)^{2}+x^{2} \ln \left(3 x \right)}{x^{2}}$&$20$\\ \hline \end{longtable}"," ",0,"ln(3*x)^2/x^2+ln(x)","A"
397,1,48,28,0.229000," ","int(4*(40*x^5-80*x^4+40*x^3-200*x+100)*ln(2)^2/(4*(4*x^8-8*x^7+24*x^6-40*x^5+85*x^4-90*x^3+125*x^2-100*x+100)*ln(2)^2+2*(8*x^6-16*x^5+28*x^4-40*x^3+60*x^2-40*x)*ln(2)+4*x^4-8*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{10 x \left(x -1\right) \ln \left(2\right)}{2 x^{4} \ln \left(2\right)-2 x^{3} \ln \left(2\right)+5 x^{2} \ln \left(2\right)-5 x \ln \left(2\right)+x^{2}+10 \ln \left(2\right)-x}$&$48$\\ norman&$\frac{10 x \ln \left(2\right)-10 x^{2} \ln \left(2\right)}{2 x^{4} \ln \left(2\right)-2 x^{3} \ln \left(2\right)+5 x^{2} \ln \left(2\right)-5 x \ln \left(2\right)+x^{2}+10 \ln \left(2\right)-x}$&$54$\\ default&$\frac{20 \ln \left(2\right)^{2} \left(-\frac{x^{2}}{4 \ln \left(2\right)}+\frac{x}{4 \ln \left(2\right)}\right)}{x^{4} \ln \left(2\right)-x^{3} \ln \left(2\right)+\frac{5 x^{2} \ln \left(2\right)}{2}-\frac{5 x \ln \left(2\right)}{2}+\frac{x^{2}}{2}+5 \ln \left(2\right)-\frac{x}{2}}$&$64$\\ risch&$\frac{4 \ln \left(2\right)^{2} \left(-\frac{5 x^{2}}{4 \ln \left(2\right)}+\frac{5 x}{4 \ln \left(2\right)}\right)}{x^{4} \ln \left(2\right)-x^{3} \ln \left(2\right)+\frac{5 x^{2} \ln \left(2\right)}{2}-\frac{5 x \ln \left(2\right)}{2}+\frac{x^{2}}{2}+5 \ln \left(2\right)-\frac{x}{2}}$&$64$\\ \hline \end{longtable}"," ",0,"-10*x*(x-1)*ln(2)/(2*x^4*ln(2)-2*x^3*ln(2)+5*x^2*ln(2)-5*x*ln(2)+x^2+10*ln(2)-x)","A"
398,1,317,29,0.618000," ","int((((12*x^2*exp(exp(x)^2)-12*x*ln(2))*ln((2*x*exp(exp(x)^2)-2*ln(2))/x/exp(exp(x)^2))-60*x^3*exp(exp(x)^2)+60*x^2*ln(2))*ln(ln((2*x*exp(exp(x)^2)-2*ln(2))/x/exp(exp(x)^2))-5*x)-50*x^2*exp(exp(x)^2)+20*x*ln(2)*exp(x)^2+2*(25*x+5)*ln(2))/((2*x^2*exp(exp(x)^2)-2*x*ln(2))*ln((2*x*exp(exp(x)^2)-2*ln(2))/x/exp(exp(x)^2))-10*x^3*exp(exp(x)^2)+10*x^2*ln(2))/ln(ln((2*x*exp(exp(x)^2)-2*ln(2))/x/exp(exp(x)^2))-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$6 x +5 \ln \left(\ln \left(\ln \left(2\right)+i \pi -\ln \left(x \right)-\ln \left({\mathrm e}^{{\mathrm e}^{2 x}}\right)+\ln \left(-x \,{\mathrm e}^{{\mathrm e}^{2 x}}+\ln \left(2\right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{2 x}} \left(-x \,{\mathrm e}^{{\mathrm e}^{2 x}}+\ln \left(2\right)\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{2 x}} \left(-x \,{\mathrm e}^{{\mathrm e}^{2 x}}+\ln \left(2\right)\right)\right)+\mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{2 x}}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{2 x}} \left(-x \,{\mathrm e}^{{\mathrm e}^{2 x}}+\ln \left(2\right)\right)\right)+\mathrm{csgn}\left(i \left(-x \,{\mathrm e}^{{\mathrm e}^{2 x}}+\ln \left(2\right)\right)\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(-x \,{\mathrm e}^{{\mathrm e}^{2 x}}+\ln \left(2\right)\right) {\mathrm e}^{-{\mathrm e}^{2 x}}}{x}\right) \left(-\mathrm{csgn}\left(\frac{i \left(-x \,{\mathrm e}^{{\mathrm e}^{2 x}}+\ln \left(2\right)\right) {\mathrm e}^{-{\mathrm e}^{2 x}}}{x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(-x \,{\mathrm e}^{{\mathrm e}^{2 x}}+\ln \left(2\right)\right) {\mathrm e}^{-{\mathrm e}^{2 x}}}{x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{2 x}} \left(-x \,{\mathrm e}^{{\mathrm e}^{2 x}}+\ln \left(2\right)\right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(-x \,{\mathrm e}^{{\mathrm e}^{2 x}}+\ln \left(2\right)\right) {\mathrm e}^{-{\mathrm e}^{2 x}}}{x}\right)^{2} \left(\mathrm{csgn}\left(\frac{i \left(-x \,{\mathrm e}^{{\mathrm e}^{2 x}}+\ln \left(2\right)\right) {\mathrm e}^{-{\mathrm e}^{2 x}}}{x}\right)-1\right)-5 x \right)\right)$&$317$\\ \hline \end{longtable}"," ",0,"6*x+5*ln(ln(ln(2)+I*Pi-ln(x)-ln(exp(exp(2*x)))+ln(-x*exp(exp(2*x))+ln(2))-1/2*I*Pi*csgn(I*exp(-exp(2*x))*(-x*exp(exp(2*x))+ln(2)))*(-csgn(I*exp(-exp(2*x))*(-x*exp(exp(2*x))+ln(2)))+csgn(I*exp(-exp(2*x))))*(-csgn(I*exp(-exp(2*x))*(-x*exp(exp(2*x))+ln(2)))+csgn(I*(-x*exp(exp(2*x))+ln(2))))-1/2*I*Pi*csgn(I/x*(-x*exp(exp(2*x))+ln(2))*exp(-exp(2*x)))*(-csgn(I/x*(-x*exp(exp(2*x))+ln(2))*exp(-exp(2*x)))+csgn(I/x))*(-csgn(I/x*(-x*exp(exp(2*x))+ln(2))*exp(-exp(2*x)))+csgn(I*exp(-exp(2*x))*(-x*exp(exp(2*x))+ln(2))))+I*Pi*csgn(I/x*(-x*exp(exp(2*x))+ln(2))*exp(-exp(2*x)))^2*(csgn(I/x*(-x*exp(exp(2*x))+ln(2))*exp(-exp(2*x)))-1)-5*x))","C"
399,1,11,10,0.021000," ","int(5000*x^7*exp(625*x^8)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +{\mathrm e}^{625 x^{8}}$&$11$\\ norman&$-x +{\mathrm e}^{625 x^{8}}$&$11$\\ risch&$-x +{\mathrm e}^{625 x^{8}}$&$11$\\ \hline \end{longtable}"," ",0,"-x+exp(625*x^8)","A"
400,1,14,23,0.027000," ","int(1/3*(5*x+5)*exp(3+x)-20*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-10 x^{2}+\frac{5 \,{\mathrm e}^{3+x} x}{3}$&$14$\\ risch&$-10 x^{2}+\frac{5 \,{\mathrm e}^{3+x} x}{3}$&$14$\\ default&$-10 x^{2}+\frac{5 \,{\mathrm e}^{3+x} \left(3+x \right)}{3}-5 \,{\mathrm e}^{3+x}$&$22$\\ derivativedivides&$-10 \left(3+x \right)^{2}+180+60 x +\frac{5 \,{\mathrm e}^{3+x} \left(3+x \right)}{3}-5 \,{\mathrm e}^{3+x}$&$28$\\ \hline \end{longtable}"," ",0,"-10*x^2+5/3*exp(3+x)*x","A"
401,1,18,17,0.019000," ","int(6/625*x^2*exp(x^3)^2+54*x+9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{2 x^{3}}}{625}+27 x^{2}+9 x$&$18$\\ norman&$\frac{{\mathrm e}^{2 x^{3}}}{625}+27 x^{2}+9 x$&$18$\\ risch&$\frac{{\mathrm e}^{2 x^{3}}}{625}+27 x^{2}+9 x$&$18$\\ \hline \end{longtable}"," ",0,"1/625*exp(x^3)^2+27*x^2+9*x","A"
402,1,23,19,0.121000," ","int(((20*x^2-100*x)*ln(3)+5*x-50)/x/exp((3*x-5)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$5 \left(2 x \ln \left(3\right)+1\right) x \,{\mathrm e}^{-\frac{2 \left(3 x -5\right)}{x}}$&$23$\\ risch&$\left(5 x +10 x^{2} \ln \left(3\right)\right) {\mathrm e}^{-\frac{2 \left(3 x -5\right)}{x}}$&$24$\\ norman&$\left(5 x +10 x^{2} \ln \left(3\right)\right) {\mathrm e}^{-\frac{2 \left(3 x -5\right)}{x}}$&$25$\\ derivativedivides&$5 \,{\mathrm e}^{-6+\frac{10}{x}} x -20 \ln \left(3\right) {\mathrm e}^{-6+\frac{10}{x}} x^{2} \left(3-\frac{5}{x}\right)+70 \ln \left(3\right) {\mathrm e}^{-6+\frac{10}{x}} x^{2}-100 \ln \left(3\right) {\mathrm e}^{-6+\frac{10}{x}} x$&$63$\\ default&$5 \,{\mathrm e}^{-6+\frac{10}{x}} x -20 \ln \left(3\right) {\mathrm e}^{-6+\frac{10}{x}} x^{2} \left(3-\frac{5}{x}\right)+70 \ln \left(3\right) {\mathrm e}^{-6+\frac{10}{x}} x^{2}-100 \ln \left(3\right) {\mathrm e}^{-6+\frac{10}{x}} x$&$63$\\ \hline \end{longtable}"," ",0,"5*(2*x*ln(3)+1)*x/exp((3*x-5)/x)^2","A"
403,1,14,14,0.022000," ","int(-4*exp(-x+4)*exp(exp(-x+4))-4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x +4 \,{\mathrm e}^{{\mathrm e}^{-x +4}}$&$14$\\ norman&$-4 x +4 \,{\mathrm e}^{{\mathrm e}^{-x +4}}$&$14$\\ risch&$-4 x +4 \,{\mathrm e}^{{\mathrm e}^{-x +4}}$&$14$\\ derivativedivides&$4 \ln \left({\mathrm e}^{-x +4}\right)+4 \,{\mathrm e}^{{\mathrm e}^{-x +4}}$&$20$\\ \hline \end{longtable}"," ",0,"-4*x+4*exp(exp(-x+4))","A"
404,1,84,24,0.034000," ","int(1/16*(192*x^2-768*x+576)*ln(5)^4+1/16*(5376*x^2-21504*x+16128)*ln(5)^3+1/16*(56400*x^2-225696*x+169344)*ln(5)^2+1/16*(262752*x^2-1052352*x+790272)*ln(5)+458643/16*x^2-114954*x+86445,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-24 \ln \left(5\right)^{4}-672 \ln \left(5\right)^{3}-7053 \ln \left(5\right)^{2}-32886 \ln \left(5\right)-57477\right) x^{2}+\left(4 \ln \left(5\right)^{4}+112 \ln \left(5\right)^{3}+1175 \ln \left(5\right)^{2}+5474 \ln \left(5\right)+\frac{152881}{16}\right) x^{3}+\left(36 \ln \left(5\right)^{4}+1008 \ln \left(5\right)^{3}+10584 \ln \left(5\right)^{2}+49392 \ln \left(5\right)+86445\right) x$&$84$\\ default&$\frac{\ln \left(5\right)^{4} \left(64 x^{3}-384 x^{2}+576 x \right)}{16}+\frac{\ln \left(5\right)^{3} \left(1792 x^{3}-10752 x^{2}+16128 x \right)}{16}+\frac{\ln \left(5\right)^{2} \left(18800 x^{3}-112848 x^{2}+169344 x \right)}{16}+\frac{\ln \left(5\right) \left(87584 x^{3}-526176 x^{2}+790272 x \right)}{16}+\frac{152881 x^{3}}{16}-57477 x^{2}+86445 x$&$93$\\ gosper&$\frac{x \left(64 \ln \left(5\right)^{4} x^{2}-384 x \ln \left(5\right)^{4}+1792 x^{2} \ln \left(5\right)^{3}+576 \ln \left(5\right)^{4}-10752 \ln \left(5\right)^{3} x +18800 x^{2} \ln \left(5\right)^{2}+16128 \ln \left(5\right)^{3}-112848 x \ln \left(5\right)^{2}+87584 x^{2} \ln \left(5\right)+169344 \ln \left(5\right)^{2}-526176 x \ln \left(5\right)+152881 x^{2}+790272 \ln \left(5\right)-919632 x +1383120\right)}{16}$&$96$\\ risch&$4 x^{3} \ln \left(5\right)^{4}-24 \ln \left(5\right)^{4} x^{2}+36 x \ln \left(5\right)^{4}+112 x^{3} \ln \left(5\right)^{3}-672 x^{2} \ln \left(5\right)^{3}+1008 \ln \left(5\right)^{3} x +1175 x^{3} \ln \left(5\right)^{2}-7053 x^{2} \ln \left(5\right)^{2}+10584 x \ln \left(5\right)^{2}+5474 x^{3} \ln \left(5\right)-32886 x^{2} \ln \left(5\right)+49392 x \ln \left(5\right)+\frac{152881 x^{3}}{16}-57477 x^{2}+86445 x$&$109$\\ \hline \end{longtable}"," ",0,"(-24*ln(5)^4-672*ln(5)^3-7053*ln(5)^2-32886*ln(5)-57477)*x^2+(4*ln(5)^4+112*ln(5)^3+1175*ln(5)^2+5474*ln(5)+152881/16)*x^3+(36*ln(5)^4+1008*ln(5)^3+10584*ln(5)^2+49392*ln(5)+86445)*x","B"
405,1,13,15,0.023000," ","int((5*x^4+75*x^2)/(x^4+10*x^2+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{5 x^{3}}{x^{2}+5}$&$13$\\ norman&$\frac{5 x^{3}}{x^{2}+5}$&$13$\\ default&$5 x -\frac{25 x}{x^{2}+5}$&$15$\\ risch&$5 x -\frac{25 x}{x^{2}+5}$&$15$\\ \hline \end{longtable}"," ",0,"5*x^3/(x^2+5)","A"
406,1,30,25,0.078000," ","int(((-x+6)*ln(x)*ln(5*ln(x)/exp(3))-4*x*ln(x)+x-3)/((x^2-3*x)*ln(x)*ln(5*ln(x)/exp(3))+(-x^3+4*x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x -3\right)-2 \ln \left(x \right)+\ln \left(\ln \left(5 \ln \left(x \right) {\mathrm e}^{-3}\right)-\frac{\left(x -4\right) x}{x -3}\right)$&$30$\\ \hline \end{longtable}"," ",0,"ln(x-3)-2*ln(x)+ln(ln(5*ln(x)*exp(-3))-(x-4)*x/(x-3))","A"
407,1,14,13,0.056000," ","int(((-2*x-2)*exp(x)+2)/(exp(x)^2*x^2+(-2*x^2-8*x)*exp(x)+x^2+8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2}{{\mathrm e}^{x} x -4-x}$&$14$\\ risch&$\frac{2}{{\mathrm e}^{x} x -4-x}$&$14$\\ \hline \end{longtable}"," ",0,"2/(exp(x)*x-4-x)","A"
408,1,15,14,0.023000," ","int((-20*x*ln(x)-20*x-2)/((5*x*ln(x)+5*x)*ln(ln(x)+1)^2+((100*x^2+360*x)*ln(x)+100*x^2+360*x)*ln(ln(x)+1)+(500*x^3+3600*x^2+6480*x)*ln(x)+500*x^3+3600*x^2+6480*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{5 \left(\ln \left(\ln \left(x \right)+1\right)+10 x +36\right)}$&$15$\\ \hline \end{longtable}"," ",0,"2/5/(ln(ln(x)+1)+10*x+36)","A"
409,1,11,13,0.042000," ","int((exp(-80*x-162)+400)/exp(-80*x-162),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +5 \,{\mathrm e}^{80 x +162}$&$11$\\ norman&$\left(5+x \,{\mathrm e}^{-80 x -162}\right) {\mathrm e}^{80 x +162}$&$20$\\ derivativedivides&$5 \,{\mathrm e}^{80 x +162}-\frac{\ln \left({\mathrm e}^{-80 x -162}\right)}{80}$&$21$\\ default&$5 \,{\mathrm e}^{80 x +162}-\frac{\ln \left({\mathrm e}^{-80 x -162}\right)}{80}$&$21$\\ meijerg&$-\frac{{\mathrm e}^{80 x -80 x \,{\mathrm e}^{162}-162} \left(1-{\mathrm e}^{80 x \,{\mathrm e}^{162} \left(1-{\mathrm e}^{-162}\right)}\right)}{80 \left(1-{\mathrm e}^{-162}\right)}-5 \,{\mathrm e}^{80 x -80 x \,{\mathrm e}^{162}} \left(1-{\mathrm e}^{80 x \,{\mathrm e}^{162}}\right)$&$61$\\ \hline \end{longtable}"," ",0,"x+5*exp(80*x+162)","A"
410,1,30,34,0.119000," ","int(((-8*x^3+26*x^2+24*x)*exp(2)-260*x^4-728*x^3-781*x^2-268*x-16)/(64*x^6-64*x^5-592*x^4-656*x^3-188*x^2-16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\frac{x}{16}+\frac{{\mathrm e}^{2}}{16}-\frac{3}{16}}{x^{2}+\frac{3}{2} x +\frac{1}{4}}-\ln \left(x -4\right)+\ln \left(x \right)$&$30$\\ default&$-\frac{-\frac{x}{4}+\frac{3}{4}-\frac{{\mathrm e}^{2}}{4}}{4 \left(x^{2}+\frac{3}{2} x +\frac{1}{4}\right)}+\ln \left(x \right)-\ln \left(x -4\right)$&$31$\\ norman&$\frac{\left(\frac{19}{4}-\frac{3 \,{\mathrm e}^{2}}{2}\right) x +\left(-{\mathrm e}^{2}+3\right) x^{2}}{4 x^{2}+6 x +1}-\ln \left(x -4\right)+\ln \left(x \right)$&$42$\\ \hline \end{longtable}"," ",0,"(1/16*x+1/16*exp(2)-3/16)/(x^2+3/2*x+1/4)-ln(x-4)+ln(x)","A"
411,1,216,31,0.371000," ","int((((x^2-x)*ln(x)^2+(-2*x^4+2*x^3)*ln(x)+x^6-x^5)*ln(x^2-x)^2+((-2*x^2+2*x)*exp(4)*ln(x)^2+((2*x^4-2*x^3)*exp(4)-2*x^2+2*x)*ln(x)+2*x^4+2*x^3-4*x^2-2*x+2)*ln(x^2-x)+(x^2-x)*exp(4)^2*ln(x)^2+((2*x^2-2*x)*exp(4)-4*x+2)*ln(x)+(2*x-2)*exp(4)+4*x^3-x^2-x)/(((x^2-x)*ln(x)^2+(-2*x^4+2*x^3)*ln(x)+x^6-x^5)*ln(x^2-x)^2+((-2*x^2+2*x)*exp(4)*ln(x)^2+((2*x^4-2*x^3)*exp(4)-2*x^2+2*x)*ln(x)+2*x^4-2*x^3)*ln(x^2-x)+(x^2-x)*exp(4)^2*ln(x)^2+(2*x^2-2*x)*exp(4)*ln(x)+x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{4 i}{\pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)-\pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}-\pi  \,x^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}+\pi  \,x^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}-\ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)+\ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}+\ln \left(x \right) \pi  \,\mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}-\ln \left(x \right) \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}+2 i x^{2} \ln \left(x \right)+2 i x^{2} \ln \left(x -1\right)+2 i {\mathrm e}^{4} \ln \left(x \right)-2 i \ln \left(x \right)^{2}-2 i \ln \left(x \right) \ln \left(x -1\right)+2 i}$&$216$\\ \hline \end{longtable}"," ",0,"x-4*I/(Pi*x^2*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))-Pi*x^2*csgn(I*x)*csgn(I*x*(x-1))^2-Pi*x^2*csgn(I*(x-1))*csgn(I*x*(x-1))^2+Pi*x^2*csgn(I*x*(x-1))^3-ln(x)*Pi*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))+ln(x)*Pi*csgn(I*x)*csgn(I*x*(x-1))^2+ln(x)*Pi*csgn(I*(x-1))*csgn(I*x*(x-1))^2-ln(x)*Pi*csgn(I*x*(x-1))^3+2*I*x^2*ln(x)+2*I*x^2*ln(x-1)+2*I*exp(4)*ln(x)-2*I*ln(x)^2-2*I*ln(x)*ln(x-1)+2*I)","C"
412,1,31,27,0.082000," ","int((((-x*ln(5)+x)*ln(x)^2+(-31*x*ln(5)+31*x)*ln(x)+(-59*x+75)*ln(5)+59*x-75)*exp((x*ln(x)+28*x+75)/(3+ln(x)))+(x*ln(5)-x)*ln(x)^2+(6*x*ln(5)-6*x)*ln(x)+9*x*ln(5)-9*x)*exp((ln(5)-1)/ln(-exp((x*ln(x)+28*x+75)/(3+ln(x)))+x))/((x*ln(x)^2+6*x*ln(x)+9*x)*exp((x*ln(x)+28*x+75)/(3+ln(x)))-x^2*ln(x)^2-6*x^2*ln(x)-9*x^2)/ln(-exp((x*ln(x)+28*x+75)/(3+ln(x)))+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\ln \left(5\right)-1}{\ln \left(-{\mathrm e}^{\frac{x \ln \left(x \right)+28 x +75}{3+\ln \left(x \right)}}+x \right)}}$&$31$\\ \hline \end{longtable}"," ",0,"exp((ln(5)-1)/ln(-exp((x*ln(x)+28*x+75)/(3+ln(x)))+x))","A"
413,1,32,28,0.082000," ","int(((2*x*ln(x)-6*x^2+22*x-20)*exp(-x*ln(x)/(5*x-10))+(45*x^4-180*x^3+180*x^2)*ln(x)+40*x^4-160*x^3+160*x^2)*exp((exp(-x*ln(x)/(5*x-10))+9*x^2*ln(x)-x^2+3*x)/x)/(5*x^4-20*x^3+20*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{9 x} {\mathrm e}^{-\frac{x^{2}-x^{-\frac{x}{5 \left(x -2\right)}}-3 x}{x}}$&$32$\\ \hline \end{longtable}"," ",0,"x^(9*x)*exp(-(x^2-x^(-1/5*x/(x-2))-3*x)/x)","A"
414,1,33,27,0.066000," ","int(((-3*exp(4)+6)*exp(exp(x))^2+((x^2*ln(2)-2*x^2)*exp(x)+(-6*exp(4)+12)*ln(3)+2*x*ln(2)+6*x*exp(4)-16*x)*exp(exp(x))+(-3*exp(4)+6)*ln(3)^2+(2*x*ln(2)+6*x*exp(4)-16*x)*ln(3)-3*x^2*ln(2)-3*x^2*exp(4)+12*x^2)/(x^4*exp(exp(x))^2+(2*x^4*ln(3)-2*x^5)*exp(exp(x))+x^4*ln(3)^2-2*x^5*ln(3)+x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{4}}{x^{3}}-\frac{2}{x^{3}}-\frac{\ln \left(2\right)-2}{x^{2} \left(\ln \left(3\right)+{\mathrm e}^{{\mathrm e}^{x}}-x \right)}$&$33$\\ \hline \end{longtable}"," ",0,"exp(4)/x^3-2/x^3-(ln(2)-2)/x^2/(ln(3)+exp(exp(x))-x)","A"
415,1,19,21,0.199000," ","int(((8*x-16)*exp(5)*ln(-x/(x-2))-16*exp(5)-16*x)/((x-2)*exp(5)^2+(2*x^2-4*x)*exp(5)+x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{8 x \ln \left(-\frac{x}{x -2}\right)}{{\mathrm e}^{5}+x}$&$19$\\ risch&$-\frac{8 \,{\mathrm e}^{5} \ln \left(-\frac{x}{x -2}\right)}{{\mathrm e}^{5}+x}+8 \ln \left(x \right)-8 \ln \left(x -2\right)$&$31$\\ derivativedivides&$\frac{16 \ln \left(\left({\mathrm e}^{5}+2\right) \left(-1-\frac{2}{x -2}\right)+{\mathrm e}^{5}\right)}{{\mathrm e}^{5}+2}+\frac{4 \,{\mathrm e}^{5} \ln \left(-1-\frac{2}{x -2}\right) \ln \left(\frac{4 \,{\mathrm e}^{5} \left(-1-\frac{2}{x -2}\right)+{\mathrm e}^{10} \left(-1-\frac{2}{x -2}\right)+2 \,{\mathrm e}^{5}-2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+{\mathrm e}^{10}-\frac{8}{x -2}-4}{{\mathrm e}^{10}+2 \,{\mathrm e}^{5}-2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)}{\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}-\frac{4 \,{\mathrm e}^{5} \ln \left(-1-\frac{2}{x -2}\right) \ln \left(\frac{4 \,{\mathrm e}^{5} \left(-1-\frac{2}{x -2}\right)+{\mathrm e}^{10} \left(-1-\frac{2}{x -2}\right)+2 \,{\mathrm e}^{5}+2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+{\mathrm e}^{10}-\frac{8}{x -2}-4}{{\mathrm e}^{10}+2 \,{\mathrm e}^{5}+2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)}{\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}+\frac{4 \,{\mathrm e}^{5} \dilog \left(\frac{4 \,{\mathrm e}^{5} \left(-1-\frac{2}{x -2}\right)+{\mathrm e}^{10} \left(-1-\frac{2}{x -2}\right)+2 \,{\mathrm e}^{5}-2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+{\mathrm e}^{10}-\frac{8}{x -2}-4}{{\mathrm e}^{10}+2 \,{\mathrm e}^{5}-2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)}{\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}-\frac{4 \,{\mathrm e}^{5} \dilog \left(\frac{4 \,{\mathrm e}^{5} \left(-1-\frac{2}{x -2}\right)+{\mathrm e}^{10} \left(-1-\frac{2}{x -2}\right)+2 \,{\mathrm e}^{5}+2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+{\mathrm e}^{10}-\frac{8}{x -2}-4}{{\mathrm e}^{10}+2 \,{\mathrm e}^{5}+2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)}{\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}$&$416$\\ default&$\frac{16 \ln \left(\left({\mathrm e}^{5}+2\right) \left(-1-\frac{2}{x -2}\right)+{\mathrm e}^{5}\right)}{{\mathrm e}^{5}+2}+\frac{4 \,{\mathrm e}^{5} \ln \left(-1-\frac{2}{x -2}\right) \ln \left(\frac{4 \,{\mathrm e}^{5} \left(-1-\frac{2}{x -2}\right)+{\mathrm e}^{10} \left(-1-\frac{2}{x -2}\right)+2 \,{\mathrm e}^{5}-2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+{\mathrm e}^{10}-\frac{8}{x -2}-4}{{\mathrm e}^{10}+2 \,{\mathrm e}^{5}-2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)}{\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}-\frac{4 \,{\mathrm e}^{5} \ln \left(-1-\frac{2}{x -2}\right) \ln \left(\frac{4 \,{\mathrm e}^{5} \left(-1-\frac{2}{x -2}\right)+{\mathrm e}^{10} \left(-1-\frac{2}{x -2}\right)+2 \,{\mathrm e}^{5}+2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+{\mathrm e}^{10}-\frac{8}{x -2}-4}{{\mathrm e}^{10}+2 \,{\mathrm e}^{5}+2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)}{\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}+\frac{4 \,{\mathrm e}^{5} \dilog \left(\frac{4 \,{\mathrm e}^{5} \left(-1-\frac{2}{x -2}\right)+{\mathrm e}^{10} \left(-1-\frac{2}{x -2}\right)+2 \,{\mathrm e}^{5}-2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+{\mathrm e}^{10}-\frac{8}{x -2}-4}{{\mathrm e}^{10}+2 \,{\mathrm e}^{5}-2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)}{\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}-\frac{4 \,{\mathrm e}^{5} \dilog \left(\frac{4 \,{\mathrm e}^{5} \left(-1-\frac{2}{x -2}\right)+{\mathrm e}^{10} \left(-1-\frac{2}{x -2}\right)+2 \,{\mathrm e}^{5}+2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+{\mathrm e}^{10}-\frac{8}{x -2}-4}{{\mathrm e}^{10}+2 \,{\mathrm e}^{5}+2 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)}{\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}$&$416$\\ \hline \end{longtable}"," ",0,"8*x*ln(-x/(x-2))/(exp(5)+x)","A"
416,1,67,21,0.224000," ","int((640000*x^8-192000*x^7-300800*x^6+47360*x^5+11840*x^3+18800*x^2-3000*x-2500)/(256*x^5*exp(5)^4+768*x^5*exp(5)^3+864*x^5*exp(5)^2+432*x^5*exp(5)+81*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{160000 x^{8}-64000 x^{7}-150400 x^{6}+47360 x^{5}-11840 x^{3}-9400 x^{2}+1000 x +625}{x^{4} \left(256 \,{\mathrm e}^{20}+768 \,{\mathrm e}^{15}+864 \,{\mathrm e}^{10}+432 \,{\mathrm e}^{5}+81\right)}$&$67$\\ default&$\frac{160000 x^{4}-64000 x^{3}-150400 x^{2}+47360 x -\frac{9400}{x^{2}}+\frac{1000}{x^{3}}-\frac{11840}{x}+\frac{625}{x^{4}}}{256 \,{\mathrm e}^{20}+768 \,{\mathrm e}^{15}+864 \,{\mathrm e}^{10}+432 \,{\mathrm e}^{5}+81}$&$68$\\ norman&$\frac{\frac{625}{4 \,{\mathrm e}^{5}+3}+\frac{1000 x}{4 \,{\mathrm e}^{5}+3}-\frac{9400 x^{2}}{4 \,{\mathrm e}^{5}+3}-\frac{11840 x^{3}}{4 \,{\mathrm e}^{5}+3}+\frac{47360 x^{5}}{4 \,{\mathrm e}^{5}+3}-\frac{150400 x^{6}}{4 \,{\mathrm e}^{5}+3}-\frac{64000 x^{7}}{4 \,{\mathrm e}^{5}+3}+\frac{160000 x^{8}}{4 \,{\mathrm e}^{5}+3}}{x^{4} \left(4 \,{\mathrm e}^{5}+3\right)^{3}}$&$113$\\ risch&$\frac{160000 x^{4}}{256 \,{\mathrm e}^{20}+768 \,{\mathrm e}^{15}+864 \,{\mathrm e}^{10}+432 \,{\mathrm e}^{5}+81}-\frac{64000 x^{3}}{256 \,{\mathrm e}^{20}+768 \,{\mathrm e}^{15}+864 \,{\mathrm e}^{10}+432 \,{\mathrm e}^{5}+81}-\frac{150400 x^{2}}{256 \,{\mathrm e}^{20}+768 \,{\mathrm e}^{15}+864 \,{\mathrm e}^{10}+432 \,{\mathrm e}^{5}+81}+\frac{47360 x}{256 \,{\mathrm e}^{20}+768 \,{\mathrm e}^{15}+864 \,{\mathrm e}^{10}+432 \,{\mathrm e}^{5}+81}+\frac{256 \left(-11840 \,{\mathrm e}^{20}-35520 \,{\mathrm e}^{15}-39960 \,{\mathrm e}^{10}-19980 \,{\mathrm e}^{5}-\frac{14985}{4}\right) x^{3}+256 \left(-9400 \,{\mathrm e}^{20}-28200 \,{\mathrm e}^{15}-31725 \,{\mathrm e}^{10}-\frac{31725 \,{\mathrm e}^{5}}{2}-\frac{95175}{32}\right) x^{2}+256 \left(1000 \,{\mathrm e}^{20}+3000 \,{\mathrm e}^{15}+3375 \,{\mathrm e}^{10}+\frac{3375 \,{\mathrm e}^{5}}{2}+\frac{10125}{32}\right) x +160000 \,{\mathrm e}^{20}+480000 \,{\mathrm e}^{15}+540000 \,{\mathrm e}^{10}+270000 \,{\mathrm e}^{5}+50625}{\left(256 \,{\mathrm e}^{20}+768 \,{\mathrm e}^{15}+864 \,{\mathrm e}^{10}+432 \,{\mathrm e}^{5}+81\right)^{2} x^{4}}$&$207$\\ \hline \end{longtable}"," ",0,"5*(32000*x^8-12800*x^7-30080*x^6+9472*x^5-2368*x^3-1880*x^2+200*x+125)/x^4/(256*exp(5)^4+768*exp(5)^3+864*exp(5)^2+432*exp(5)+81)","B"
417,1,72,24,0.125000," ","int(((ln(x)^2+(8*exp(1)+26)*ln(x)+16*exp(1)^2+104*exp(1)+168)*ln(80*x)+5*ln(x)^2+(40*exp(1)+128)*ln(x)+80*exp(1)^2+512*exp(1)+816)/(exp(1)^2+6*exp(1)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(64 \,{\mathrm e}+192\right) x +\left(16 \,{\mathrm e}+48\right) x \ln \left(80 x \right)+\frac{x \ln \left(x \right)^{2} \ln \left(80 x \right)}{3+{\mathrm e}}+32 x \ln \left(x \right)+8 x \ln \left(x \right) \ln \left(80 x \right)+\frac{4 x \ln \left(x \right)^{2}}{3+{\mathrm e}}}{3+{\mathrm e}}$&$72$\\ default&$\frac{576 x +128 x \,{\mathrm e} \ln \left(x \right)+384 x \,{\mathrm e}+240 x \ln \left(x \right)+16 \,{\mathrm e}^{2} \ln \left(80\right) x +16 x \,{\mathrm e}^{2} \ln \left(x \right)+64 \,{\mathrm e}^{2} x +8 \ln \left(80\right) {\mathrm e} \ln \left(x \right) x +96 \,{\mathrm e} \ln \left(80\right) x +8 \,{\mathrm e} \ln \left(x \right)^{2} x +\ln \left(80\right) \ln \left(x \right)^{2} x +24 \ln \left(80\right) \ln \left(x \right) x +144 \ln \left(80\right) x +x \ln \left(x \right)^{3}+28 x \ln \left(x \right)^{2}}{{\mathrm e}^{2}+6 \,{\mathrm e}+9}$&$118$\\ risch&$\frac{x \ln \left(x \right)^{3}}{{\mathrm e}^{2}+6 \,{\mathrm e}+9}+\frac{\left(56+16 \,{\mathrm e}+8 \ln \left(2\right)+2 \ln \left(5\right)\right) x \ln \left(x \right)^{2}}{2 \,{\mathrm e}^{2}+12 \,{\mathrm e}+18}+\frac{4 \left(60+4 \,{\mathrm e}^{2}+8 \,{\mathrm e} \ln \left(2\right)+2 \,{\mathrm e} \ln \left(5\right)+32 \,{\mathrm e}+24 \ln \left(2\right)+6 \ln \left(5\right)\right) x \ln \left(x \right)}{{\mathrm e}^{2}+6 \,{\mathrm e}+9}+\frac{64 x \,{\mathrm e}^{2} \ln \left(2\right)}{{\mathrm e}^{2}+6 \,{\mathrm e}+9}+\frac{16 x \,{\mathrm e}^{2} \ln \left(5\right)}{{\mathrm e}^{2}+6 \,{\mathrm e}+9}+\frac{384 x \,{\mathrm e} \ln \left(2\right)}{{\mathrm e}^{2}+6 \,{\mathrm e}+9}+\frac{96 x \,{\mathrm e} \ln \left(5\right)}{{\mathrm e}^{2}+6 \,{\mathrm e}+9}+\frac{64 x \,{\mathrm e}^{2}}{{\mathrm e}^{2}+6 \,{\mathrm e}+9}+\frac{384 x \,{\mathrm e}}{{\mathrm e}^{2}+6 \,{\mathrm e}+9}+\frac{576 x \ln \left(2\right)}{{\mathrm e}^{2}+6 \,{\mathrm e}+9}+\frac{144 x \ln \left(5\right)}{{\mathrm e}^{2}+6 \,{\mathrm e}+9}+\frac{576 x}{{\mathrm e}^{2}+6 \,{\mathrm e}+9}$&$235$\\ \hline \end{longtable}"," ",0,"((64*exp(1)+192)*x+(16*exp(1)+48)*x*ln(80*x)+1/(3+exp(1))*x*ln(x)^2*ln(80*x)+32*x*ln(x)+8*x*ln(x)*ln(80*x)+4/(3+exp(1))*x*ln(x)^2)/(3+exp(1))","B"
418,1,7,6,0.015000," ","int(-exp(-x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-x -2}$&$7$\\ derivativedivides&${\mathrm e}^{-x -2}$&$7$\\ default&${\mathrm e}^{-x -2}$&$7$\\ norman&${\mathrm e}^{-x -2}$&$7$\\ risch&${\mathrm e}^{-x -2}$&$7$\\ meijerg&$-{\mathrm e}^{-2} \left(1-{\mathrm e}^{-x}\right)$&$13$\\ \hline \end{longtable}"," ",0,"exp(-x-2)","A"
419,1,58,27,0.052000," ","int((((-3*x^3-21*x^2-30*x)*exp(2-x)+12*x^2+60*x)*ln(5+x)^2+((6*x^3+36*x^2+60*x)*exp(2-x)-12*x^2-120*x)*ln(5+x)+(-3*x^3-12*x^2-12*x+15)*exp(2-x)+54*x-30)/((5+x)*exp(2-x)^2+(-4*x-20)*exp(2-x)+20+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 x^{2} \ln \left(5+x \right)^{2}}{{\mathrm e}^{2-x}-2}+\frac{6 x^{2} \ln \left(5+x \right)}{{\mathrm e}^{2-x}-2}-\frac{3 x \left(x -1\right)}{{\mathrm e}^{2-x}-2}$&$58$\\ \hline \end{longtable}"," ",0,"-3*x^2/(exp(2-x)-2)*ln(5+x)^2+6*x^2/(exp(2-x)-2)*ln(5+x)-3*x*(x-1)/(exp(2-x)-2)","B"
420,1,74,28,0.382000," ","int(((2*x*exp(x)^3+12*x*exp(x)^2+24*exp(x)*x+16*x)*exp(exp(exp(3)))+(ln(5)^2+(4*x+14)*ln(5)+3*x^2+28*x+49)*exp(x)^3+(6*ln(5)^2+(2*x^2+20*x+84)*ln(5)+2*x^3+26*x^2+140*x+294)*exp(x)^2+(12*ln(5)^2+(4*x^2+32*x+168)*ln(5)+2*x^3+43*x^2+224*x+588)*exp(x)+8*ln(5)^2+(16*x+112)*ln(5)+6*x^2+112*x+392)/(exp(x)^3+6*exp(x)^2+12*exp(x)+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}}}+x \ln \left(5\right)^{2}+2 x^{2} \ln \left(5\right)+x^{3}+14 x \ln \left(5\right)+14 x^{2}+49 x -\frac{x^{2} \left(2 \,{\mathrm e}^{x} \ln \left(5\right)+2 \,{\mathrm e}^{x} x +4 \ln \left(5\right)+3 x +14 \,{\mathrm e}^{x}+28\right)}{\left({\mathrm e}^{x}+2\right)^{2}}$&$74$\\ norman&$\frac{x^{3}+\left(28+4 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}}}+4 \ln \left(5\right)\right) x^{2}+\left(4 \ln \left(5\right)^{2}+56 \ln \left(5\right)+196\right) x +{\mathrm e}^{2 x} x^{3}+\left(14+{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}}}+2 \ln \left(5\right)\right) x^{2} {\mathrm e}^{2 x}+\left(42+4 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}}}+6 \ln \left(5\right)\right) x^{2} {\mathrm e}^{x}+\left(49+\ln \left(5\right)^{2}+14 \ln \left(5\right)\right) x \,{\mathrm e}^{2 x}+\left(4 \ln \left(5\right)^{2}+56 \ln \left(5\right)+196\right) x \,{\mathrm e}^{x}+2 \,{\mathrm e}^{x} x^{3}}{\left({\mathrm e}^{x}+2\right)^{2}}$&$125$\\ \hline \end{longtable}"," ",0,"x^2*exp(exp(exp(3)))+x*ln(5)^2+2*x^2*ln(5)+x^3+14*x*ln(5)+14*x^2+49*x-x^2*(2*exp(x)*ln(5)+2*exp(x)*x+4*ln(5)+3*x+14*exp(x)+28)/(exp(x)+2)^2","B"
421,1,22,21,0.269000," ","int((-4*exp(2)*ln(3)+(-x+24)*exp(2)+24)/((4*exp(2)+4)*ln(3)+x+exp(2)*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{{\mathrm e}^{2} x}{{\mathrm e}^{2}+1}+24 \ln \left(4 \ln \left(3\right)+x \right)$&$22$\\ risch&$-\frac{{\mathrm e}^{2} x}{{\mathrm e}^{2}+1}+24 \ln \left(4 \ln \left(3\right)+x \right)$&$22$\\ default&$\frac{-{\mathrm e}^{2} x +\left(24 \,{\mathrm e}^{2}+24\right) \ln \left(4 \ln \left(3\right)+x \right)}{{\mathrm e}^{2}+1}$&$28$\\ meijerg&$\frac{24 \ln \left(1+\frac{x}{4 \ln \left(3\right)}\right)}{{\mathrm e}^{2}+1}-\frac{4 \,{\mathrm e}^{2} \ln \left(3\right) \ln \left(1+\frac{x}{4 \ln \left(3\right)}\right)}{{\mathrm e}^{2}+1}-\frac{4 \,{\mathrm e}^{2} \ln \left(3\right) \left(\frac{x}{4 \ln \left(3\right)}-\ln \left(1+\frac{x}{4 \ln \left(3\right)}\right)\right)}{{\mathrm e}^{2}+1}+\frac{24 \,{\mathrm e}^{2} \ln \left(1+\frac{x}{4 \ln \left(3\right)}\right)}{{\mathrm e}^{2}+1}$&$94$\\ \hline \end{longtable}"," ",0,"-1/(exp(2)+1)*exp(2)*x+24*ln(4*ln(3)+x)","A"
422,1,27,28,0.112000," ","int((((3*x^2+4)*exp(exp(x))^4+((16*x^3+64*x)*exp(x)+1536*x^2+2048)*exp(exp(x))^2+196608*x^2+262144)*exp(4/(exp(exp(x))^2+256))^2-2*x^3*exp(exp(x))^4-1024*x^3*exp(exp(x))^2-131072*x^3)/((5*exp(exp(x))^4+2560*exp(exp(x))^2+327680)*exp(4/(exp(exp(x))^2+256))^4+(-10*x*exp(exp(x))^4-5120*x*exp(exp(x))^2-655360*x)*exp(4/(exp(exp(x))^2+256))^2+5*x^2*exp(exp(x))^4+2560*x^2*exp(exp(x))^2+327680*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \left(x^{2}+4\right)}{5 \left(-{\mathrm e}^{\frac{8}{{\mathrm e}^{2 \,{\mathrm e}^{x}}+256}}+x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"-1/5*x*(x^2+4)/(-exp(8/(exp(2*exp(x))+256))+x)","A"
423,1,46,22,0.060000," ","int((800*x^2-200*x-25)*exp(-8*x^2+4*x)^2+(160*x^3-1640*x^2+380*x+100)*exp(-8*x^2+4*x)-3*x^2+40*x-99,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-25 \,{\mathrm e}^{-8 x \left(2 x -1\right)} x +\left(-10 x^{2}+100 x \right) {\mathrm e}^{-4 x \left(2 x -1\right)}-x^{3}+20 x^{2}-99 x$&$46$\\ default&$-99 x -25 x \,{\mathrm e}^{-16 x^{2}+8 x}+100 \,{\mathrm e}^{-8 x^{2}+4 x} x -10 \,{\mathrm e}^{-8 x^{2}+4 x} x^{2}+20 x^{2}-x^{3}$&$56$\\ norman&$-99 x -25 x \,{\mathrm e}^{-16 x^{2}+8 x}+100 \,{\mathrm e}^{-8 x^{2}+4 x} x -10 \,{\mathrm e}^{-8 x^{2}+4 x} x^{2}+20 x^{2}-x^{3}$&$58$\\ \hline \end{longtable}"," ",0,"-25*exp(-8*x*(2*x-1))*x+(-10*x^2+100*x)*exp(-4*x*(2*x-1))-x^3+20*x^2-99*x","B"
424,1,59,30,0.120000," ","int((((15*x-5)*exp(x)+(-10*x+5)*ln(2)+24*x^2)*exp(2*x)+(10*x-5)*exp(x)^2+((-5*x+5)*ln(2)-5*x^3+7*x^2)*exp(x)+5*x^2*ln(2)-24*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x \ln \left(2\right)-12 x^{2}+\frac{5 \,{\mathrm e}^{3 x}}{x}-\frac{\left(-12 x +5 \ln \left(2\right)-5\right) {\mathrm e}^{2 x}}{x}-\frac{\left(5 x^{2}+5 \ln \left(2\right)-12 x \right) {\mathrm e}^{x}}{x}$&$59$\\ norman&$\frac{\left(-5 \ln \left(2\right)+5\right) {\mathrm e}^{2 x}-12 x^{3}+5 \,{\mathrm e}^{3 x}+12 x \,{\mathrm e}^{2 x}+5 x^{2} \ln \left(2\right)+12 \,{\mathrm e}^{x} x -5 \,{\mathrm e}^{x} x^{2}-5 \,{\mathrm e}^{x} \ln \left(2\right)}{x}$&$60$\\ default&$-12 x^{2}+12 \,{\mathrm e}^{2 x}+\frac{5 \,{\mathrm e}^{3 x}}{x}-5 \,{\mathrm e}^{x} x +12 \,{\mathrm e}^{x}+\frac{5 \,{\mathrm e}^{2 x}}{x}-\frac{5 \ln \left(2\right) {\mathrm e}^{x}}{x}-\frac{5 \ln \left(2\right) {\mathrm e}^{2 x}}{x}+5 x \ln \left(2\right)$&$65$\\ \hline \end{longtable}"," ",0,"5*x*ln(2)-12*x^2+5/x*exp(3*x)-(-12*x+5*ln(2)-5)/x*exp(2*x)-(5*x^2+5*ln(2)-12*x)/x*exp(x)","A"
425,1,23,21,0.021000," ","int(((3*x^3-12*x^2)*exp(x)-6*x^3+5*x^2-8)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 x^{2}+5 x +\frac{8}{x}+\left(3 x -15\right) {\mathrm e}^{x}$&$23$\\ default&$-3 x^{2}+5 x +\frac{8}{x}+3 \,{\mathrm e}^{x} x -15 \,{\mathrm e}^{x}$&$24$\\ norman&$\frac{8+5 x^{2}-3 x^{3}-15 \,{\mathrm e}^{x} x +3 \,{\mathrm e}^{x} x^{2}}{x}$&$29$\\ \hline \end{longtable}"," ",0,"-3*x^2+5*x+8/x+(3*x-15)*exp(x)","A"
426,1,36,28,0.360000," ","int((((-exp(3)-5)*exp(exp((5*x^4*exp(3)+25*x^4+5*x)/(exp(3)+5)))+x^2*exp(3)+5*x^2)*ln(-exp(exp((5*x^4*exp(3)+25*x^4+5*x)/(exp(3)+5)))+x^2)+(20*x^4*exp(3)+100*x^4+5*x)*exp((5*x^4*exp(3)+25*x^4+5*x)/(exp(3)+5))*exp(exp((5*x^4*exp(3)+25*x^4+5*x)/(exp(3)+5)))-2*x^2*exp(3)-10*x^2)/((x^2*exp(3)+5*x^2)*exp(exp((5*x^4*exp(3)+25*x^4+5*x)/(exp(3)+5)))-x^4*exp(3)-5*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(-{\mathrm e}^{{\mathrm e}^{\frac{5 x \left(x^{3} {\mathrm e}^{3}+5 x^{3}+1\right)}{{\mathrm e}^{3}+5}}}+x^{2}\right)}{x}$&$36$\\ \hline \end{longtable}"," ",0,"1/x*ln(-exp(exp(5*x*(x^3*exp(3)+5*x^3+1)/(exp(3)+5)))+x^2)","A"
427,1,21,21,0.055000," ","int(1/96*(4*ln(3)^2+96*x+720)*exp(1/6*x*ln(3)^2+2*x^2+30*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{\frac{x \ln \left(3\right)^{2}}{6}+2 x^{2}+30 x +4}}{4}$&$21$\\ default&$\frac{{\mathrm e}^{4+2 x^{2}+\left(\frac{\ln \left(3\right)^{2}}{6}+30\right) x}}{4}$&$21$\\ norman&$\frac{{\mathrm e}^{\frac{x \ln \left(3\right)^{2}}{6}+2 x^{2}+30 x +4}}{4}$&$21$\\ risch&$\frac{{\mathrm e}^{\frac{x \ln \left(3\right)^{2}}{6}+2 x^{2}+30 x +4}}{4}$&$21$\\ \hline \end{longtable}"," ",0,"1/4*exp(1/6*x*ln(3)^2+2*x^2+30*x+4)","A"
428,1,30,39,0.033000," ","int(1/16*(300*x^6+1440*x^5-149*x^4-5776*x^2+5280*x-1200)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{25 x^{3}}{4}+45 x^{2}-\frac{149 x}{16}-\frac{165}{x^{2}}+\frac{25}{x^{3}}+\frac{361}{x}$&$30$\\ norman&$\frac{25-165 x +361 x^{2}-\frac{149}{16} x^{4}+45 x^{5}+\frac{25}{4} x^{6}}{x^{3}}$&$30$\\ risch&$\frac{25 x^{3}}{4}+45 x^{2}-\frac{149 x}{16}+\frac{5776 x^{2}-2640 x +400}{16 x^{3}}$&$30$\\ gosper&$\frac{100 x^{6}+720 x^{5}-149 x^{4}+5776 x^{2}-2640 x +400}{16 x^{3}}$&$31$\\ \hline \end{longtable}"," ",0,"25/4*x^3+45*x^2-149/16*x-165/x^2+25/x^3+361/x","A"
429,1,39,55,0.089000," ","int((36*x^3-9*x^2)*exp(ln(5/x)+x^2-1/2*x-4)^2+(36*x^3+63*x^2)*exp(ln(5/x)+x^2-1/2*x-4)+18*x+36,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$225 \,{\mathrm e}^{2 x^{2}-x -8}+5 \left(36+18 x \right) {\mathrm e}^{-4+x^{2}-\frac{1}{2} x}+9 x^{2}+36 x$&$39$\\ norman&$36 x +9 x^{2}+36 x \,{\mathrm e}^{\ln \left(\frac{5}{x}\right)+x^{2}-\frac{x}{2}-4}+18 x^{2} {\mathrm e}^{\ln \left(\frac{5}{x}\right)+x^{2}-\frac{x}{2}-4}+225 \,{\mathrm e}^{2 x^{2}-x -8}$&$70$\\ default&$36 x +9 \,{\mathrm e}^{2 x^{2}-x +2 \ln \left(\frac{5}{x}\right)+2 \ln \left(x \right)-8}+36 \,{\mathrm e}^{-4+\ln \left(\frac{5}{x}\right)+\ln \left(x \right)+x^{2}-\frac{x}{2}}+18 x \,{\mathrm e}^{-4+\ln \left(\frac{5}{x}\right)+\ln \left(x \right)+x^{2}-\frac{x}{2}}+9 x^{2}$&$74$\\ \hline \end{longtable}"," ",0,"225*exp(2*x^2-x-8)+5*(36+18*x)*exp(-4+x^2-1/2*x)+9*x^2+36*x","A"
430,1,57,19,0.023000," ","int(648*x*ln(x)^2+(2592*x^3+648*x^2-648*x)*ln(x)+1944*x^5+1080*x^4-1800*x^3-432*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$648 x^{4} \ln \left(x \right)-612 x^{4}+216 x^{3} \ln \left(x \right)-216 x^{3}-648 x^{2} \ln \left(x \right)+324 x^{2}+216 x^{5}+324 x^{6}+324 x^{2} \ln \left(x \right)^{2}$&$57$\\ norman&$648 x^{4} \ln \left(x \right)-612 x^{4}+216 x^{3} \ln \left(x \right)-216 x^{3}-648 x^{2} \ln \left(x \right)+324 x^{2}+216 x^{5}+324 x^{6}+324 x^{2} \ln \left(x \right)^{2}$&$57$\\ risch&$648 x^{4} \ln \left(x \right)-612 x^{4}+216 x^{3} \ln \left(x \right)-216 x^{3}-648 x^{2} \ln \left(x \right)+324 x^{2}+216 x^{5}+324 x^{6}+324 x^{2} \ln \left(x \right)^{2}$&$57$\\ \hline \end{longtable}"," ",0,"648*x^4*ln(x)-612*x^4+216*x^3*ln(x)-216*x^3-648*x^2*ln(x)+324*x^2+216*x^5+324*x^6+324*x^2*ln(x)^2","B"
431,1,26,15,0.040000," ","int((16*x*ln(x)^2+152*x*ln(x)+361*x+48)*exp(((4*x-20)*ln(x)+19*x-107)/(4*ln(x)+19))*exp(exp(((4*x-20)*ln(x)+19*x-107)/(4*ln(x)+19)))/(16*x*ln(x)^2+152*x*ln(x)+361*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{4 x \ln \left(x \right)-20 \ln \left(x \right)+19 x -107}{4 \ln \left(x \right)+19}}}$&$26$\\ \hline \end{longtable}"," ",0,"exp(exp((4*x*ln(x)-20*ln(x)+19*x-107)/(4*ln(x)+19)))","A"
432,1,51,32,0.422000," ","int((((2*x^5+28*x^4+64*x^3-304*x^2-192*x-768)*exp(3)+3*x^4+48*x^3+192*x^2)*exp(((x^4+4*x^3-38*x^2+96)*exp(3)+3*x^3+12*x^2-96*x)/(x^2+8*x)/exp(3))+(-x^4-16*x^3-64*x^2)*exp(3))/(x^4+16*x^3+64*x^2)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{\frac{\left(x -4\right) \left(x^{3} {\mathrm e}^{3}+8 x^{2} {\mathrm e}^{3}-6 x \,{\mathrm e}^{3}+3 x^{2}-24 \,{\mathrm e}^{3}+24 x \right) {\mathrm e}^{-3}}{x \left(x +8\right)}}$&$51$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{\left(\left(x^{4}+4 x^{3}-38 x^{2}+96\right) {\mathrm e}^{3}+3 x^{3}+12 x^{2}-96 x \right) {\mathrm e}^{-3}}{x^{2}+8 x}}+64 x -x^{3}+8 x \,{\mathrm e}^{\frac{\left(\left(x^{4}+4 x^{3}-38 x^{2}+96\right) {\mathrm e}^{3}+3 x^{3}+12 x^{2}-96 x \right) {\mathrm e}^{-3}}{x^{2}+8 x}}}{x \left(x +8\right)}$&$120$\\ \hline \end{longtable}"," ",0,"-x+exp((x-4)*(x^3*exp(3)+8*x^2*exp(3)-6*x*exp(3)+3*x^2-24*exp(3)+24*x)*exp(-3)/x/(x+8))","A"
433,1,41,34,0.167000," ","int((-2*x^3*ln(x)^2*exp(((-3*x+1)*ln(x)-3*x)/x^2/ln(x))+((-3*x+2)*exp(5)-2*x^3-6*x^2+4*x)*ln(x)^2+(-3*x*exp(5)-6*x^2)*ln(x)-3*x*exp(5)-6*x^2)/(x^3*exp(5)^2+4*x^4*exp(5)+4*x^5)/ln(x)^2/exp(((-3*x+1)*ln(x)-3*x)/x^2/ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{2 x +{\mathrm e}^{5}}+\frac{{\mathrm e}^{\frac{3 x \ln \left(x \right)-\ln \left(x \right)+3 x}{\ln \left(x \right) x^{2}}}}{2 x +{\mathrm e}^{5}}$&$41$\\ \hline \end{longtable}"," ",0,"1/(2*x+exp(5))+1/(2*x+exp(5))*exp((3*x*ln(x)-ln(x)+3*x)/ln(x)/x^2)","A"
434,1,45,26,0.069000," ","int(((-3*x^5-54*x^4-242*x^3+18*x^2+81*x)*exp(x^3)*ln(x)+((-3*x^6-45*x^5-81*x^4+728*x^3-18*x^2-81*x)*exp(x)-x^2-18*x-81)*exp(x^3)-4*exp(x)*x)/(x^3+18*x^2+81*x)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right) {\mathrm e}^{\left(x -1\right) \left(x +1\right) x}-\frac{x^{2} {\mathrm e}^{x^{3}}+6 \,{\mathrm e}^{x^{3}} x -27 \,{\mathrm e}^{x^{3}}-4}{x +9}$&$45$\\ \hline \end{longtable}"," ",0,"-ln(x)*exp((x-1)*(x+1)*x)-(x^2*exp(x^3)+6*exp(x^3)*x-27*exp(x^3)-4)/(x+9)","A"
435,1,27,22,0.029000," ","int((((-2*exp(x)*x+2*x^5)*ln(x)-exp(x)*x+x^5)*ln(-exp(x)+x^4)+((2*x^2-2*x)*exp(x)-3*x^6+6*x^5)*ln(x)+(x^2-x)*exp(x)-x^6+x^5)/(exp(x)-x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} \ln \left(x \right) \ln \left(-{\mathrm e}^{x}+x^{4}\right)+x^{2} \left(x -1\right) \ln \left(x \right)$&$27$\\ \hline \end{longtable}"," ",0,"-x^2*ln(x)*ln(-exp(x)+x^4)+x^2*(x-1)*ln(x)","A"
436,1,103,21,0.218000," ","int((((-12*exp(3)-24*x)*exp(x)-13*x*exp(3)-26*x^2)*ln(1/3*(12*exp(3)+24*x)*exp(x)+13/3*x*exp(3)+26/3*x^2)*ln(ln(1/3*(12*exp(3)+24*x)*exp(x)+13/3*x*exp(3)+26/3*x^2))+(12*x*exp(3)+24*x^2+24*x)*exp(x)+13*x*exp(3)+52*x^2)/((12*x^2*exp(3)+24*x^3)*exp(x)+13*x^3*exp(3)+26*x^4)/ln(1/3*(12*exp(3)+24*x)*exp(x)+13/3*x*exp(3)+26/3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(-\ln \left(3\right)+\ln \left(x +\frac{12 \,{\mathrm e}^{x}}{13}\right)+\ln \left(2 x +{\mathrm e}^{3}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \left(x +\frac{12 \,{\mathrm e}^{x}}{13}\right) \left(2 x +{\mathrm e}^{3}\right)\right) \left(-\mathrm{csgn}\left(i \left(x +\frac{12 \,{\mathrm e}^{x}}{13}\right) \left(2 x +{\mathrm e}^{3}\right)\right)+\mathrm{csgn}\left(i \left(x +\frac{12 \,{\mathrm e}^{x}}{13}\right)\right)\right) \left(-\mathrm{csgn}\left(i \left(x +\frac{12 \,{\mathrm e}^{x}}{13}\right) \left(2 x +{\mathrm e}^{3}\right)\right)+\mathrm{csgn}\left(i \left(2 x +{\mathrm e}^{3}\right)\right)\right)}{2}\right)}{x}$&$103$\\ \hline \end{longtable}"," ",0,"1/x*ln(-ln(3)+ln(x+12/13*exp(x))+ln(2*x+exp(3))-1/2*I*Pi*csgn(I*(x+12/13*exp(x))*(2*x+exp(3)))*(-csgn(I*(x+12/13*exp(x))*(2*x+exp(3)))+csgn(I*(x+12/13*exp(x))))*(-csgn(I*(x+12/13*exp(x))*(2*x+exp(3)))+csgn(I*(2*x+exp(3)))))","C"
437,1,52,23,0.257000," ","int(((40*x^4+20*x^3-120*x^2-60*x)*ln(x^2+1/2*x)^3+(-60*x^3-30*x^2+60*x+30)*ln(x^2+1/2*x)^2+(40*x^3+30*x^2-110*x-30)*ln(x^2+1/2*x)-40*x^2-10*x)/(2*x+1)/ln(x^2+1/2*x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x^{4}-30 x^{2}-\frac{5 \left(2 \ln \left(x^{2}+\frac{1}{2} x \right) x^{2}-x -6 \ln \left(x^{2}+\frac{1}{2} x \right)\right) x}{\ln \left(x^{2}+\frac{1}{2} x \right)^{2}}$&$52$\\ norman&$\frac{5 x^{2}+30 \ln \left(x^{2}+\frac{1}{2} x \right) x -10 \ln \left(x^{2}+\frac{1}{2} x \right) x^{3}-30 \ln \left(x^{2}+\frac{1}{2} x \right)^{2} x^{2}+5 \ln \left(x^{2}+\frac{1}{2} x \right)^{2} x^{4}}{\ln \left(x^{2}+\frac{1}{2} x \right)^{2}}$&$72$\\ \hline \end{longtable}"," ",0,"5*x^4-30*x^2-5*(2*ln(x^2+1/2*x)*x^2-x-6*ln(x^2+1/2*x))*x/ln(x^2+1/2*x)^2","B"
438,1,21,25,0.240000," ","int(1/16*((6*x^3+69*x^2+210*x+75)*exp(x-4)-x^4-17*x^3-94*x^2-185*x-75)*exp(x)*exp(1/16*((3*x^3+30*x^2+75*x)*exp(x-4)-x^4-13*x^3-55*x^2-75*x)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x \left(5+x \right)^{2} \left(-3 \,{\mathrm e}^{x -4}+3+x \right) {\mathrm e}^{x}}{16}}$&$21$\\ norman&${\mathrm e}^{\frac{\left(\left(3 x^{3}+30 x^{2}+75 x \right) {\mathrm e}^{x} {\mathrm e}^{-4}-x^{4}-13 x^{3}-55 x^{2}-75 x \right) {\mathrm e}^{x}}{16}}$&$44$\\ \hline \end{longtable}"," ",0,"exp(-1/16*x*(5+x)^2*(-3*exp(x-4)+3+x)*exp(x))","A"
439,1,42,26,0.044000," ","int(1/2*(((2*x^2+2*x)*ln(x)-x^2-2*x-1)*ln(1/25*ln(5))+x*ln(x)-x-10)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-\ln \left(5\right)+\frac{\ln \left(\ln \left(5\right)\right)}{2}\right) x^{2}+\left(-2 \ln \left(5\right)+\ln \left(\ln \left(5\right)\right)+\frac{1}{2}\right) x +5-\ln \left(5\right)+\frac{\ln \left(\ln \left(5\right)\right)}{2}}{\ln \left(x \right)}$&$42$\\ risch&$-\frac{2 x^{2} \ln \left(5\right)-\ln \left(\ln \left(5\right)\right) x^{2}+4 x \ln \left(5\right)-2 x \ln \left(\ln \left(5\right)\right)+2 \ln \left(5\right)-\ln \left(\ln \left(5\right)\right)-x -10}{2 \ln \left(x \right)}$&$47$\\ default&$2 \ln \left(5\right) \expIntegralEi \left(1, -2 \ln \left(x \right)\right)-\ln \left(\ln \left(5\right)\right) \expIntegralEi \left(1, -2 \ln \left(x \right)\right)+2 \ln \left(5\right) \expIntegralEi \left(1, -\ln \left(x \right)\right)-\ln \left(\ln \left(5\right)\right) \expIntegralEi \left(1, -\ln \left(x \right)\right)+\ln \left(5\right) \left(-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)-\frac{\ln \left(\ln \left(5\right)\right) \left(-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)}{2}+2 \ln \left(5\right) \left(-\frac{x}{\ln \left(x \right)}-\expIntegralEi \left(1, -\ln \left(x \right)\right)\right)-\ln \left(\ln \left(5\right)\right) \left(-\frac{x}{\ln \left(x \right)}-\expIntegralEi \left(1, -\ln \left(x \right)\right)\right)-\frac{\ln \left(5\right)}{\ln \left(x \right)}+\frac{\ln \left(\ln \left(5\right)\right)}{2 \ln \left(x \right)}+\frac{x}{2 \ln \left(x \right)}+\frac{5}{\ln \left(x \right)}$&$159$\\ \hline \end{longtable}"," ",0,"((-ln(5)+1/2*ln(ln(5)))*x^2+(-2*ln(5)+ln(ln(5))+1/2)*x+5-ln(5)+1/2*ln(ln(5)))/ln(x)","A"
440,1,21,20,0.022000," ","int(((4*x^4+32*x-4)*ln(x)-12*x^4-4*x^3-96*x+4)*exp(4*x*ln(x)-16*x)/(x^8+16*x^5-2*x^4+64*x^2-16*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4 x} {\mathrm e}^{-16 x}}{x^{4}+8 x -1}$&$21$\\ \hline \end{longtable}"," ",0,"1/(x^4+8*x-1)*x^(4*x)*exp(-16*x)","A"
441,1,11,15,0.021000," ","int(-6/(x*ln(x^2)^2-6*x*ln(x^2)+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3}{\ln \left(x^{2}\right)-3}$&$11$\\ norman&$\frac{3}{\ln \left(x^{2}\right)-3}$&$11$\\ risch&$\frac{3}{\ln \left(x^{2}\right)-3}$&$11$\\ \hline \end{longtable}"," ",0,"3/(ln(x^2)-3)","A"
442,1,28,29,0.073000," ","int(((-2*x^2+30*x-18)*exp(x)^2+(9*x^4+3*x^3-180*x^2+108*x)*exp(x)-18*x^4+270*x^3-162*x^2)/(exp(x)^2*x^3-6*exp(x)*x^4+9*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{-30 x +9}{x^{2}}-2 \ln \left(x \right)+\frac{9 x}{3 x -{\mathrm e}^{x}}$&$28$\\ norman&$\frac{9 x^{3}+27 x -90 x^{2}+30 \,{\mathrm e}^{x} x -9 \,{\mathrm e}^{x}}{x^{2} \left(3 x -{\mathrm e}^{x}\right)}-2 \ln \left(x \right)$&$43$\\ \hline \end{longtable}"," ",0,"(-30*x+9)/x^2-2*ln(x)+9*x/(3*x-exp(x))","A"
443,1,12,15,0.026000," ","int(exp(x)+4*ln(2)-4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x +4 x \ln \left(2\right)+{\mathrm e}^{x}$&$12$\\ norman&$\left(4 \ln \left(2\right)-4\right) x +{\mathrm e}^{x}$&$12$\\ risch&$-4 x +4 x \ln \left(2\right)+{\mathrm e}^{x}$&$12$\\ derivativedivides&${\mathrm e}^{x}+\left(4 \ln \left(2\right)-4\right) \ln \left({\mathrm e}^{x}\right)$&$14$\\ \hline \end{longtable}"," ",0,"-4*x+4*x*ln(2)+exp(x)","A"
444,1,11,9,0.012000," ","int((-500*ln(x)-1000)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1500+500 \ln \left(x \right)}{x}$&$11$\\ default&$\frac{500 \ln \left(x \right)}{x}+\frac{1500}{x}$&$14$\\ risch&$\frac{500 \ln \left(x \right)}{x}+\frac{1500}{x}$&$14$\\ \hline \end{longtable}"," ",0,"(1500+500*ln(x))/x","A"
445,1,63,26,0.341000," ","int(((-4*x^2*exp(x^2)+2*x)*exp(1/2*exp(x)/x)^2+((8*x^3+80*x^2)*exp(x^2)+(x-1)*exp(x)-4*x^2-42*x)*exp(1/2*exp(x)/x)+(-4*x^4-80*x^3-400*x^2)*exp(x^2)+2*x^3+40*x^2+220*x)*exp(((-exp(x^2)+x)*exp(1/2*exp(x)/x)+(x+10)*exp(x^2)-x^2-11*x)/(exp(1/2*exp(x)/x)-x-10))/(2*x*exp(1/2*exp(x)/x)^2+(-4*x^2-40*x)*exp(1/2*exp(x)/x)+2*x^3+40*x^2+200*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{\frac{2 x^{3}+{\mathrm e}^{x}}{2 x}}-{\mathrm e}^{x^{2}} x -{\mathrm e}^{\frac{{\mathrm e}^{x}}{2 x}} x +x^{2}-10 \,{\mathrm e}^{x^{2}}+11 x}{x -{\mathrm e}^{\frac{{\mathrm e}^{x}}{2 x}}+10}}$&$63$\\ \hline \end{longtable}"," ",0,"exp((exp(1/2*(2*x^3+exp(x))/x)-exp(x^2)*x-exp(1/2*exp(x)/x)*x+x^2-10*exp(x^2)+11*x)/(x-exp(1/2*exp(x)/x)+10))","B"
446,1,32,19,0.359000," ","int((((4*x*ln(3)+4*x^2)*ln(ln(3)+x)+2*x^2)*exp(1/5*x^2*ln(ln(3)+x))^2+((-12*x^2*ln(3)-12*x^3)*ln(ln(3)+x)-30*ln(3)-6*x^3-30*x)*exp(1/5*x^2*ln(ln(3)+x))+90*x*ln(3)+90*x^2)/(5*ln(3)+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\ln \left(3\right)+x \right)^{\frac{2 x^{2}}{5}}-6 x \left(\ln \left(3\right)+x \right)^{\frac{x^{2}}{5}}+9 x^{2}$&$32$\\ default&${\mathrm e}^{x^{2} \ln \left(\left(\ln \left(3\right)+x \right)^{\frac{2}{5}}\right)}-6 x \,{\mathrm e}^{\frac{x^{2} \ln \left(\ln \left(3\right)+x \right)}{5}}+9 x^{2}$&$34$\\ \hline \end{longtable}"," ",0,"((ln(3)+x)^(1/5*x^2))^2-6*x*(ln(3)+x)^(1/5*x^2)+9*x^2","A"
447,1,15,22,0.344000," ","int((((exp(ln(2)-8)+1)*exp(x/exp(ln(2)-8))+4*exp(ln(2)-8))*exp(ln(exp(x/exp(ln(2)-8))+4)+x)+(1-exp(x))*exp(ln(2)-8)*exp(x/exp(ln(2)-8))+(-4*exp(x)+4)*exp(ln(2)-8))/(exp(ln(2)-8)*exp(x/exp(ln(2)-8))+4*exp(ln(2)-8)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \left(2+{\mathrm e}^{8}\right)}{2}}+x +3 \,{\mathrm e}^{x}$&$15$\\ default&$x +{\mathrm e}^{\ln \left({\mathrm e}^{\frac{x \,{\mathrm e}^{8}}{2}}+4\right)+x}-{\mathrm e}^{x}$&$23$\\ norman&$x +\frac{{\mathrm e}^{-8} \left(2+{\mathrm e}^{8}\right) {\mathrm e}^{x} {\mathrm e}^{\frac{x \,{\mathrm e}^{8}}{2}}}{2 \,{\mathrm e}^{-8}+1}+3 \,{\mathrm e}^{x}$&$34$\\ \hline \end{longtable}"," ",0,"exp(1/2*x*(2+exp(8)))+x+3*exp(x)","A"
448,1,32,30,0.272000," ","int(((-ln(2)^2+(-2*x^2+2*x)*ln(2)-x^4+2*x^3-x^2)*ln(5/x^2)-2*ln(2)^2+(-4*x^2+6*x)*ln(2)-2*x^4+4*x^3-3*x^2)/(ln(2)^2+(2*x^2-2*x)*ln(2)+x^4-2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-x \ln \left(5\right)-x \ln \left(\frac{1}{x^{2}}\right)-4 x +\frac{1}{\frac{\ln \left(2\right)}{x^{2}}-\frac{1}{x}+1}$&$32$\\ default&$-x \ln \left(5\right)-x \ln \left(\frac{1}{x^{2}}\right)-4 x +\frac{1}{\frac{\ln \left(2\right)}{x^{2}}-\frac{1}{x}+1}$&$32$\\ risch&$-x \ln \left(\frac{5}{x^{2}}\right)-\frac{4 x^{3}+4 x \ln \left(2\right)-4 x^{2}+\ln \left(2\right)-x}{\ln \left(2\right)+x^{2}-x}$&$45$\\ norman&$\frac{x^{2} \ln \left(\frac{5}{x^{2}}\right)+\left(5-4 \ln \left(2\right)\right) x -4 x^{3}-\ln \left(\frac{5}{x^{2}}\right) x^{3}-\ln \left(2\right) \ln \left(\frac{5}{x^{2}}\right) x -5 \ln \left(2\right)}{\ln \left(2\right)+x^{2}-x}$&$63$\\ \hline \end{longtable}"," ",0,"-x*ln(5)-x*ln(1/x^2)-4*x+1/(ln(2)/x^2-1/x+1)","A"
449,1,32,20,0.119000," ","int(1/625*(-20000*x*ln(5)^4+(-80000*x^2+40000)*ln(5)^3+(-120000*x^3+10000*x^2+456400*x-5000)*ln(5)^2+(-80000*x^4+20000*x^3+792800*x^2-20000*x-336400)*ln(5)-20000*x^5+10000*x^4+375150*x^3-99100*x^2-1749712*x+42050)/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(100 \ln \left(5\right)^{2}+200 x \ln \left(5\right)+100 x^{2}-25 x -841\right)^{2} {\mathrm e}^{-x^{2}}}{625}$&$32$\\ norman&$\left(\left(64 \ln \left(5\right)-8\right) x^{3}+\left(-\frac{6703}{25}+96 \ln \left(5\right)^{2}-16 \ln \left(5\right)\right) x^{2}+\left(64 \ln \left(5\right)^{3}-8 \ln \left(5\right)^{2}-\frac{13456 \ln \left(5\right)}{25}+\frac{1682}{25}\right) x +16 x^{4}+\frac{707281}{625}-\frac{6728 \ln \left(5\right)^{2}}{25}+16 \ln \left(5\right)^{4}\right) {\mathrm e}^{-x^{2}}$&$73$\\ risch&$\frac{\left(10000 \ln \left(5\right)^{4}+40000 \ln \left(5\right)^{3} x +60000 x^{2} \ln \left(5\right)^{2}+40000 x^{3} \ln \left(5\right)+10000 x^{4}-5000 x \ln \left(5\right)^{2}-10000 x^{2} \ln \left(5\right)-5000 x^{3}-168200 \ln \left(5\right)^{2}-336400 x \ln \left(5\right)-167575 x^{2}+42050 x +707281\right) {\mathrm e}^{-x^{2}}}{625}$&$83$\\ default&$\frac{707281 \,{\mathrm e}^{-x^{2}}}{625}+\frac{1682 x \,{\mathrm e}^{-x^{2}}}{25}-\frac{6703 \,{\mathrm e}^{-x^{2}} x^{2}}{25}-8 \,{\mathrm e}^{-x^{2}} x^{3}+16 \,{\mathrm e}^{-x^{2}} x^{4}-\frac{6728 \,{\mathrm e}^{-x^{2}} \ln \left(5\right)^{2}}{25}+16 \ln \left(5\right)^{4} {\mathrm e}^{-x^{2}}-\frac{13456 \,{\mathrm e}^{-x^{2}} x \ln \left(5\right)}{25}-8 \,{\mathrm e}^{-x^{2}} x \ln \left(5\right)^{2}+64 \ln \left(5\right)^{3} x \,{\mathrm e}^{-x^{2}}-16 \,{\mathrm e}^{-x^{2}} x^{2} \ln \left(5\right)+96 \,{\mathrm e}^{-x^{2}} x^{2} \ln \left(5\right)^{2}+64 \,{\mathrm e}^{-x^{2}} x^{3} \ln \left(5\right)$&$154$\\ meijerg&$\frac{841 \sqrt{\pi}\, \erf \left(x \right)}{25}+\frac{\left(-128 \ln \left(5\right)+16\right) \left(-\frac{x \left(10 x^{2}+15\right) {\mathrm e}^{-x^{2}}}{10}+\frac{3 \sqrt{\pi}\, \erf \left(x \right)}{4}\right)}{2}+\frac{\left(-128 \ln \left(5\right)^{3}+16 \ln \left(5\right)^{2}+\frac{31712 \ln \left(5\right)}{25}-\frac{3964}{25}\right) \left(-x \,{\mathrm e}^{-x^{2}}+\frac{\sqrt{\pi}\, \erf \left(x \right)}{2}\right)}{2}-32+\frac{16 \left(3 x^{4}+6 x^{2}+6\right) {\mathrm e}^{-x^{2}}}{3}+\frac{\left(-192 \ln \left(5\right)^{2}+32 \ln \left(5\right)+\frac{15006}{25}\right) \left(1-\frac{\left(2 x^{2}+2\right) {\mathrm e}^{-x^{2}}}{2}\right)}{2}+\frac{\left(-32 \ln \left(5\right)^{4}+\frac{18256 \ln \left(5\right)^{2}}{25}-32 \ln \left(5\right)-\frac{1749712}{625}\right) \left(1-{\mathrm e}^{-x^{2}}\right)}{2}+32 \ln \left(5\right)^{3} \sqrt{\pi}\, \erf \left(x \right)-4 \ln \left(5\right)^{2} \sqrt{\pi}\, \erf \left(x \right)-\frac{6728 \ln \left(5\right) \sqrt{\pi}\, \erf \left(x \right)}{25}$&$191$\\ \hline \end{longtable}"," ",0,"1/625*(100*ln(5)^2+200*x*ln(5)+100*x^2-25*x-841)^2/exp(x^2)","A"
450,1,20,19,0.017000," ","int(-1/3*ln(1/2*(6*ln(2)+1)/ln(2))+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(-\frac{\ln \left(\frac{6 \ln \left(2\right)+1}{2 \ln \left(2\right)}\right)}{3}+2\right) x$&$20$\\ norman&$\left(\frac{\ln \left(2\right)}{3}-\frac{\ln \left(6 \ln \left(2\right)+1\right)}{3}+\frac{\ln \left(\ln \left(2\right)\right)}{3}+2\right) x$&$23$\\ risch&$\frac{x \ln \left(2\right)}{3}-\frac{x \ln \left(6 \ln \left(2\right)+1\right)}{3}+\frac{x \ln \left(\ln \left(2\right)\right)}{3}+2 x$&$26$\\ \hline \end{longtable}"," ",0,"(-1/3*ln(1/2*(6*ln(2)+1)/ln(2))+2)*x","A"
451,1,16,23,0.018000," ","int(-18*x*exp(9*x^2)+3*x^2+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{3}+2 x -{\mathrm e}^{9 x^{2}}$&$16$\\ norman&$x^{3}+2 x -{\mathrm e}^{9 x^{2}}$&$16$\\ risch&$x^{3}+2 x -{\mathrm e}^{9 x^{2}}$&$16$\\ \hline \end{longtable}"," ",0,"x^3+2*x-exp(9*x^2)","A"
452,1,24,23,0.110000," ","int(((3*exp(x)*x^2-12*x^2)*ln(-exp(x)+4)^2+((6*x^3*exp(1)+4*x^3+24*x^2)*exp(x)-24*x^3*exp(1)-16*x^3-96*x^2)*ln(-exp(x)+4)+(3*x^4*exp(1)^2+(3*x^4+24*x^3)*exp(1)-x^4+16*x^3+48*x^2)*exp(x)-12*x^4*exp(1)^2+(-12*x^4-96*x^3)*exp(1)-64*x^3-192*x^2)/((exp(x)-4)*ln(-exp(x)+4)^2+((2*x*exp(1)+8)*exp(x)-8*x*exp(1)-32)*ln(-exp(x)+4)+(x^2*exp(1)^2+8*x*exp(1)+16)*exp(x)-4*x^2*exp(1)^2-32*x*exp(1)-64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4}}{\ln \left(-{\mathrm e}^{x}+4\right)+4+x \,{\mathrm e}}+x^{3}$&$24$\\ \hline \end{longtable}"," ",0,"x^4/(ln(-exp(x)+4)+4+x*exp(1))+x^3","A"
453,1,14,13,0.021000," ","int(exp(5*exp(9)^4+10*exp(9)^2+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{5 \,{\mathrm e}^{36}+10 \,{\mathrm e}^{18}+5}$&$14$\\ default&$x \,{\mathrm e}^{5 \,{\mathrm e}^{36}+10 \,{\mathrm e}^{18}+5}$&$18$\\ norman&${\mathrm e}^{5 \,{\mathrm e}^{36}} {\mathrm e}^{10 \,{\mathrm e}^{18}} {\mathrm e}^{5} x$&$19$\\ \hline \end{longtable}"," ",0,"x*exp(5*exp(36)+10*exp(18)+5)","A"
454,1,16,15,0.245000," ","int(1/2*((1-2*x)*exp(1/2*ln(x)+1/2-x)+2)*exp(exp(1/2*ln(x)+1/2-x)-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{{\mathrm e}^{\frac{\ln \left(x \right)}{2}+\frac{1}{2}-x}-4} x$&$16$\\ risch&${\mathrm e}^{\sqrt{x}\, {\mathrm e}^{\frac{1}{2}-x}-4} x$&$16$\\ \hline \end{longtable}"," ",0,"exp(exp(1/2*ln(x)+1/2-x)-4)*x","A"
455,1,27,20,0.282000," ","int(((-11*x-30)*ln(11*x+30)-11*x*ln(x)+66*x^2+2974*x+7680)/(99*x^2+270*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x}{3}-\frac{\ln \left(x \right) \ln \left(11 x +30\right)}{9}-\frac{2 \ln \left(11 x +30\right)}{9}+\frac{256 \ln \left(x \right)}{9}$&$27$\\ risch&$\frac{2 x}{3}-\frac{\ln \left(x \right) \ln \left(11 x +30\right)}{9}-\frac{2 \ln \left(11 x +30\right)}{9}+\frac{256 \ln \left(x \right)}{9}$&$27$\\ default&$-\frac{\left(\ln \left(11 x +30\right)-\ln \left(\frac{11 x}{30}+1\right)\right) \ln \left(-\frac{11 x}{30}\right)}{9}-\frac{\ln \left(x \right) \ln \left(\frac{11 x}{30}+1\right)}{9}+\frac{2 x}{3}+\frac{256 \ln \left(x \right)}{9}-\frac{2 \ln \left(11 x +30\right)}{9}$&$48$\\ \hline \end{longtable}"," ",0,"2/3*x-1/9*ln(x)*ln(11*x+30)-2/9*ln(11*x+30)+256/9*ln(x)","A"
456,1,12,13,0.491000," ","int((-2*x-31)/(x^2+31*x+253),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x^{2}+31 x +253\right)$&$12$\\ norman&$-\ln \left(x^{2}+31 x +253\right)$&$12$\\ risch&$-\ln \left(x^{2}+31 x +253\right)$&$12$\\ \hline \end{longtable}"," ",0,"-ln(x^2+31*x+253)","A"
457,0,0,21,0.010000," ","int((56*x^3+2*x-56)*ln((-x*ln(x)-14*x^3+3*x-28)/x)/(x^2*ln(x)+14*x^4-3*x^2+28*x),x)","\[\int \frac{\left(56 x^{3}+2 x -56\right) \ln \left(\frac{-x \ln \left(x \right)-14 x^{3}+3 x -28}{x}\right)}{x^{2} \ln \left(x \right)+14 x^{4}-3 x^{2}+28 x}\, dx\]"," ",0,"int((56*x^3+2*x-56)*ln((-x*ln(x)-14*x^3+3*x-28)/x)/(x^2*ln(x)+14*x^4-3*x^2+28*x),x)","F"
458,1,94,20,0.134000," ","int(((2*exp(x)*x+10*x)*exp(x^2)*exp(exp(x^2)-1)*ln(exp(x)^2+10*exp(x)+25)+(((-4*x^2+8*x)*exp(x)-20*x^2+40*x)*exp(x^2)-10)*exp(exp(x^2)-1))/(exp(x)+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{{\mathrm e}^{x^{2}}-1} \ln \left({\mathrm e}^{x}+5\right)-\frac{\left(i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}+5\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+5\right)^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+5\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+5\right)^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}+5\right)^{2}\right)^{3}+4 x -8\right) {\mathrm e}^{{\mathrm e}^{x^{2}}-1}}{2}$&$94$\\ \hline \end{longtable}"," ",0,"2*exp(exp(x^2)-1)*ln(exp(x)+5)-1/2*(I*Pi*csgn(I*(exp(x)+5))^2*csgn(I*(exp(x)+5)^2)-2*I*Pi*csgn(I*(exp(x)+5))*csgn(I*(exp(x)+5)^2)^2+I*Pi*csgn(I*(exp(x)+5)^2)^3+4*x-8)*exp(exp(x^2)-1)","C"
459,1,50,27,0.252000," ","int((-8*x^2*ln(x)-4*x^2+4)/(x*ln(x^2)-x^3*ln(x)+x*ln(3/5/x))/ln(-ln(x^2)+x^2*ln(x)-ln(3/5/x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(\ln \left(-\ln \left(x \right)+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}+x^{2} \ln \left(x \right)-\ln \left(3\right)+\ln \left(5\right)\right)\right)$&$50$\\ \hline \end{longtable}"," ",0,"4*ln(ln(-ln(x)+1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2+x^2*ln(x)-ln(3)+ln(5)))","C"
460,1,20,15,0.018000," ","int((2*ln(x)^3+2*x*ln(x)^2+4*x*ln(x)+4*x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(x \right)^{4}}{2}+2 x \ln \left(x \right)^{2}+2 x^{2}$&$20$\\ norman&$\frac{\ln \left(x \right)^{4}}{2}+2 x \ln \left(x \right)^{2}+2 x^{2}$&$20$\\ risch&$\frac{\ln \left(x \right)^{4}}{2}+2 x \ln \left(x \right)^{2}+2 x^{2}$&$20$\\ \hline \end{longtable}"," ",0,"1/2*ln(x)^4+2*x*ln(x)^2+2*x^2","A"
461,1,8,21,0.035000," ","int(-4*exp(-2*ln(5)+2*ln(2)+x-2)/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{16 \,{\mathrm e}^{-2}}{25 x}$&$8$\\ risch&$\frac{16 \,{\mathrm e}^{-2}}{25 x}$&$8$\\ norman&$\frac{16 \,{\mathrm e}^{-2}}{25 x}$&$10$\\ gosper&$\frac{4 \,{\mathrm e}^{-x} {\mathrm e}^{-2 \ln \left(5\right)+2 \ln \left(2\right)+x -2}}{x}$&$22$\\ \hline \end{longtable}"," ",0,"16/25/x*exp(-2)","A"
462,1,15,15,0.297000," ","int(((2*x+2)*exp(1)+2*x^3+2*x^2+2*x)/(exp(1)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+2 x +\ln \left({\mathrm e}+x^{2}\right)$&$15$\\ norman&$x^{2}+2 x +\ln \left({\mathrm e}+x^{2}\right)$&$15$\\ risch&$x^{2}+2 x +\ln \left({\mathrm e}+x^{2}\right)$&$15$\\ meijerg&$2 \,{\mathrm e}^{\frac{1}{2}} \arctan \left(x \,{\mathrm e}^{-\frac{1}{2}}\right)+\frac{\left(2 \,{\mathrm e}+2\right) \ln \left(1+x^{2} {\mathrm e}^{-1}\right)}{2}+{\mathrm e} \left(x^{2} {\mathrm e}^{-1}-\ln \left(1+x^{2} {\mathrm e}^{-1}\right)\right)+{\mathrm e}^{\frac{1}{2}} \left(2 x \,{\mathrm e}^{-\frac{1}{2}}-2 \arctan \left(x \,{\mathrm e}^{-\frac{1}{2}}\right)\right)$&$65$\\ \hline \end{longtable}"," ",0,"x^2+2*x+ln(exp(1)+x^2)","A"
463,1,23,15,0.107000," ","int(1/324*((x-2)*exp(x)^4+(-36*x^8+18*x^7)*exp(x)^2+1944*x^14)/x^9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{6}+\frac{{\mathrm e}^{4 x}}{1296 x^{8}}-\frac{{\mathrm e}^{2 x}}{18 x}$&$23$\\ risch&$x^{6}+\frac{{\mathrm e}^{4 x}}{1296 x^{8}}-\frac{{\mathrm e}^{2 x}}{18 x}$&$23$\\ \hline \end{longtable}"," ",0,"x^6+1/1296*exp(x)^4/x^8-1/18*exp(x)^2/x","A"
464,1,98,33,0.084000," ","int((((-6*x^2-18*x+9)*exp(x)^2+(6*x^3+24*x^2)*exp(x)-6*x^3-9*x^2)*ln(x)+(18*x^2+51*x-36)*exp(x)^2+(-18*x^3-66*x^2+18*x)*exp(x)+15*x^3+34*x^2)/(((3*x^2+9*x)*exp(x)^2+(-6*x^3-18*x^2)*exp(x)+3*x^4+9*x^3)*ln(x)+(-9*x^2-27*x)*exp(x)^2+(18*x^3+54*x^2)*exp(x)-9*x^4-43*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-\ln \left(3+x \right)-2 \ln \left({\mathrm e}^{x}-x \right)-\ln \left(\ln \left(x \right)-\frac{9 x^{3}-18 \,{\mathrm e}^{x} x^{2}+9 x \,{\mathrm e}^{2 x}+43 x^{2}-54 \,{\mathrm e}^{x} x +27 \,{\mathrm e}^{2 x}}{3 \left(x^{3}-2 \,{\mathrm e}^{x} x^{2}+x \,{\mathrm e}^{2 x}+3 x^{2}-6 \,{\mathrm e}^{x} x +3 \,{\mathrm e}^{2 x}\right)}\right)$&$98$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(3+x)-2*ln(exp(x)-x)-ln(ln(x)-1/3*(9*x^3-18*exp(x)*x^2+9*x*exp(2*x)+43*x^2-54*exp(x)*x+27*exp(2*x))/(x^3-2*exp(x)*x^2+x*exp(2*x)+3*x^2-6*exp(x)*x+3*exp(2*x)))","B"
465,1,8,10,0.025000," ","int(1/2*(-3*x-3)*exp(ln(x)+x-5)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 x \,{\mathrm e}^{x -5}}{2}$&$8$\\ gosper&$-\frac{3 \,{\mathrm e}^{\ln \left(x \right)+x -5}}{2}$&$9$\\ norman&$-\frac{3 \,{\mathrm e}^{\ln \left(x \right)+x -5}}{2}$&$9$\\ default&$-\frac{3 \,{\mathrm e}^{x -5} \left(x -5\right)}{2}-\frac{15 \,{\mathrm e}^{x -5}}{2}$&$17$\\ \hline \end{longtable}"," ",0,"-3/2*x*exp(x-5)","A"
466,1,22,20,0.242000," ","int((-3*exp(71/25)^2+(-12*x-3)*exp(71/25))/(ln(ln(5))^2+(2*x*exp(71/25)+4*x^2+2*x+10)*ln(ln(5))+x^2*exp(71/25)^2+(4*x^3+2*x^2+10*x)*exp(71/25)+4*x^4+4*x^3+21*x^2+10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{3 \,{\mathrm e}^{\frac{71}{25}}}{x \,{\mathrm e}^{\frac{71}{25}}+2 x^{2}+\ln \left(\ln \left(5\right)\right)+x +5}$&$22$\\ norman&$\frac{3 \,{\mathrm e}^{\frac{71}{25}}}{x \,{\mathrm e}^{\frac{71}{25}}+2 x^{2}+\ln \left(\ln \left(5\right)\right)+x +5}$&$22$\\ risch&$\frac{3 \,{\mathrm e}^{\frac{71}{25}}}{x \,{\mathrm e}^{\frac{71}{25}}+2 x^{2}+\ln \left(\ln \left(5\right)\right)+x +5}$&$22$\\ default&$\frac{3 \,{\mathrm e}^{\frac{71}{25}} \left(\munderset{\textit{\_R} =\RootOf \left(4 \textit{\_Z}^{4}+\left(4 \,{\mathrm e}^{\frac{71}{25}}+4\right) \textit{\_Z}^{3}+\left({\mathrm e}^{\frac{142}{25}}+2 \,{\mathrm e}^{\frac{71}{25}}+4 \ln \left(\ln \left(5\right)\right)+21\right) \textit{\_Z}^{2}+\left(2 \ln \left(\ln \left(5\right)\right) {\mathrm e}^{\frac{71}{25}}+10 \,{\mathrm e}^{\frac{71}{25}}+2 \ln \left(\ln \left(5\right)\right)+10\right) \textit{\_Z} +25+\ln \left(\ln \left(5\right)\right)^{2}+10 \ln \left(\ln \left(5\right)\right)\right)}{\sum}\frac{\left(-{\mathrm e}^{\frac{71}{25}}-4 \textit{\_R} -1\right) \ln \left(x -\textit{\_R} \right)}{5+\textit{\_R} \,{\mathrm e}^{\frac{142}{25}}+6 \,{\mathrm e}^{\frac{71}{25}} \textit{\_R}^{2}+8 \textit{\_R}^{3}+\ln \left(\ln \left(5\right)\right) {\mathrm e}^{\frac{71}{25}}+2 \textit{\_R} \,{\mathrm e}^{\frac{71}{25}}+4 \textit{\_R} \ln \left(\ln \left(5\right)\right)+6 \textit{\_R}^{2}+5 \,{\mathrm e}^{\frac{71}{25}}+\ln \left(\ln \left(5\right)\right)+21 \textit{\_R}}\right)}{2}$&$141$\\ \hline \end{longtable}"," ",0,"3*exp(71/25)/(x*exp(71/25)+2*x^2+ln(ln(5))+x+5)","A"
467,1,28,32,0.216000," ","int(((32*x^3-4*x^2-108)*ln(5)-16*x^4-168*x^2+224*x+120)*exp((16*x^3-4*x^2-120*x+108)/(x*ln(5)-x^2-1))/(x^2*ln(5)^2+(-2*x^3-2*x)*ln(5)+x^4+2*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{4 \left(x -1\right) \left(4 x -9\right) \left(3+x \right)}{x \ln \left(5\right)-x^{2}-1}}$&$28$\\ gosper&${\mathrm e}^{\frac{16 x^{3}-4 x^{2}-120 x +108}{x \ln \left(5\right)-x^{2}-1}}$&$32$\\ norman&$\frac{x \ln \left(5\right) {\mathrm e}^{\frac{16 x^{3}-4 x^{2}-120 x +108}{x \ln \left(5\right)-x^{2}-1}}-x^{2} {\mathrm e}^{\frac{16 x^{3}-4 x^{2}-120 x +108}{x \ln \left(5\right)-x^{2}-1}}-{\mathrm e}^{\frac{16 x^{3}-4 x^{2}-120 x +108}{x \ln \left(5\right)-x^{2}-1}}}{x \ln \left(5\right)-x^{2}-1}$&$117$\\ \hline \end{longtable}"," ",0,"exp(4*(x-1)*(4*x-9)*(3+x)/(x*ln(5)-x^2-1))","A"
468,1,12,16,0.095000," ","int(-1/(x*ln(x)*ln(ln(x))+2*x*ln(x))/ln(-ln(ln(x))-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(\ln \left(-\ln \left(\ln \left(x \right)\right)-2\right)\right)$&$12$\\ risch&$-\ln \left(\ln \left(-\ln \left(\ln \left(x \right)\right)-2\right)\right)$&$12$\\ \hline \end{longtable}"," ",0,"-ln(ln(-ln(ln(x))-2))","A"
469,1,6,15,0.023000," ","int(exp(-ln(4/exp(2)/x)-21)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-19} x}{4}$&$6$\\ norman&$\frac{{\mathrm e}^{-21} {\mathrm e}^{2} x}{4}$&$10$\\ derivativedivides&${\mathrm e}^{-\ln \left(\frac{4 \,{\mathrm e}^{-2}}{x}\right)-21}$&$16$\\ default&${\mathrm e}^{-\ln \left(\frac{4 \,{\mathrm e}^{-2}}{x}\right)-21}$&$16$\\ \hline \end{longtable}"," ",0,"1/4*exp(-19)*x","A"
470,1,16,17,0.051000," ","int(1/4*((-4*x^3+4*x^2)*exp(x/exp(x))+(x-1)*exp(x)^2)/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}}{4 x}+{\mathrm e}^{x \,{\mathrm e}^{-x}}$&$16$\\ norman&$\frac{\left({\mathrm e}^{x} x \,{\mathrm e}^{x \,{\mathrm e}^{-x}}+\frac{{\mathrm e}^{2 x}}{4}\right) {\mathrm e}^{-x}}{x}$&$27$\\ \hline \end{longtable}"," ",0,"1/4*exp(x)/x+exp(x*exp(-x))","A"
471,1,23,23,0.083000," ","int((2*ln(5/3/x)+(3*x^5+2*x^4+3*x^3)*exp(4)+1)/x^3/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{-4} \ln \left(\frac{5}{3 x}\right)}{x^{2}}+x \left(x^{2}+x +3\right)$&$23$\\ norman&$\frac{x^{4}+x^{5}+3 x^{3}-{\mathrm e}^{-4} \ln \left(\frac{5}{3 x}\right)}{x^{2}}$&$29$\\ default&${\mathrm e}^{-4} \left(-\frac{\ln \left(\frac{5}{3 x}\right)}{x^{2}}+3 x \,{\mathrm e}^{4}+x^{2} {\mathrm e}^{4}+x^{3} {\mathrm e}^{4}\right)$&$35$\\ derivativedivides&$-{\mathrm e}^{-4} \left(\frac{\ln \left(\frac{5}{3 x}\right)}{x^{2}}-3 x \,{\mathrm e}^{4}-x^{2} {\mathrm e}^{4}-x^{3} {\mathrm e}^{4}\right)$&$37$\\ \hline \end{longtable}"," ",0,"-exp(-4)/x^2*ln(5/3/x)+x*(x^2+x+3)","A"
472,1,16,21,0.017000," ","int(3*x^2*exp(5)-6*x^2+2*x+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left({\mathrm e}^{5}-2\right) x^{3}+x^{2}+4 x$&$16$\\ gosper&$x^{3} {\mathrm e}^{5}-2 x^{3}+x^{2}+4 x$&$19$\\ default&$x^{3} {\mathrm e}^{5}-2 x^{3}+x^{2}+4 x$&$19$\\ risch&$x^{3} {\mathrm e}^{5}-2 x^{3}+x^{2}+4 x$&$19$\\ \hline \end{longtable}"," ",0,"(exp(5)-2)*x^3+x^2+4*x","A"
473,1,64,27,0.194000," ","int((((-5*exp(3)+2*x-8)*ln(x)*ln(ln(x))+5*exp(3)+8-x)*exp(1/2*(-10*ln(ln(x))-5*x*exp(3)+x^2-8*x)/ln(ln(x)))^2+(4*x*ln(x)*ln(ln(x))^2+(-5*x^2*exp(3)+2*x^3-8*x^2)*ln(x)*ln(ln(x))+5*x^2*exp(3)-x^3+8*x^2)*exp(1/2*(-10*ln(ln(x))-5*x*exp(3)+x^2-8*x)/ln(ln(x)))+4*x^3*ln(x)*ln(ln(x))^2)/ln(x)/ln(ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}+2 x^{2} {\mathrm e}^{-\frac{5 x \,{\mathrm e}^{3}-x^{2}+10 \ln \left(\ln \left(x \right)\right)+8 x}{2 \ln \left(\ln \left(x \right)\right)}}+{\mathrm e}^{-\frac{5 x \,{\mathrm e}^{3}-x^{2}+10 \ln \left(\ln \left(x \right)\right)+8 x}{\ln \left(\ln \left(x \right)\right)}}$&$64$\\ \hline \end{longtable}"," ",0,"x^4+2*x^2*exp(-1/2*(5*x*exp(3)-x^2+10*ln(ln(x))+8*x)/ln(ln(x)))+exp(-(5*x*exp(3)-x^2+10*ln(ln(x))+8*x)/ln(ln(x)))","B"
474,1,17,29,0.031000," ","int((-x^6+12*x^4+192*x^2)/(x^8+24*x^6+272*x^4+1536*x^2+4096),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{3}}{x^{4}+12 x^{2}+64}$&$17$\\ norman&$\frac{x^{3}}{x^{4}+12 x^{2}+64}$&$17$\\ risch&$\frac{x^{3}}{x^{4}+12 x^{2}+64}$&$17$\\ default&$-\frac{-x -4}{2 \left(x^{2}+2 x +8\right)}-\frac{-x +4}{2 \left(x^{2}-2 x +8\right)}$&$36$\\ \hline \end{longtable}"," ",0,"x^3/(x^4+12*x^2+64)","A"
475,1,10,21,0.301000," ","int((-4*x^2-4*x-5)/(4*x^2+4*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{1}{\frac{1}{2}+x}$&$10$\\ default&$-x +\frac{2}{2 x +1}$&$14$\\ gosper&$-\frac{x \left(5+2 x \right)}{2 x +1}$&$16$\\ meijerg&$-\frac{x \left(6 x +6\right)}{3 \left(2 x +1\right)}-\frac{3 x}{2 x +1}$&$27$\\ \hline \end{longtable}"," ",0,"-x+1/(1/2+x)","A"
476,1,28,24,0.077000," ","int(((192*x^3+48*x^2-864*x-12)*exp(x^2)^2-16*x^2+896*x+48)/(9*exp(x^2)^4+(-24*x^2-72)*exp(x^2)^2+16*x^4+96*x^2+144),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x^{2}+4 x -64}{4 x^{2}-3 \,{\mathrm e}^{2 x^{2}}+12}$&$28$\\ norman&$\frac{16 x^{2}+4 x -64}{4 x^{2}-3 \,{\mathrm e}^{2 x^{2}}+12}$&$29$\\ \hline \end{longtable}"," ",0,"4*(4*x^2+x-16)/(4*x^2-3*exp(2*x^2)+12)","A"
477,1,45,22,0.069000," ","int(((220500*x-31500)*exp(5)*ln(2*x)^3+(684600*x-67800)*exp(5)*ln(2*x)^2+(431840*x-9120)*exp(5)*ln(2*x)+(-122688*x+5184)*exp(5))/(125*ln(2*x)^3+150*ln(2*x)^2+60*ln(2*x)+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$126 \,{\mathrm e}^{5} x \left(7 x -2\right)+\frac{400 x \,{\mathrm e}^{5} \left(105 x \ln \left(2 x \right)+92 x -15 \ln \left(2 x \right)-6\right)}{\left(5 \ln \left(2 x \right)+2\right)^{2}}$&$45$\\ norman&$\frac{-3408 x \,{\mathrm e}^{5}+40328 x^{2} {\mathrm e}^{5}-11040 x \,{\mathrm e}^{5} \ln \left(2 x \right)-6300 x \,{\mathrm e}^{5} \ln \left(2 x \right)^{2}+59640 x^{2} {\mathrm e}^{5} \ln \left(2 x \right)+22050 x^{2} {\mathrm e}^{5} \ln \left(2 x \right)^{2}}{\left(5 \ln \left(2 x \right)+2\right)^{2}}$&$69$\\ \hline \end{longtable}"," ",0,"126*exp(5)*x*(7*x-2)+400*x*exp(5)*(105*x*ln(2*x)+92*x-15*ln(2*x)-6)/(5*ln(2*x)+2)^2","A"
478,1,58,36,0.083000," ","int((-5*ln(3*x)*ln(ln(3*x))^2+(-10*exp(25*x^4+50*x^3+25*x^2+x+2)+5)*ln(3*x)*ln(ln(3*x))+(-5*exp(25*x^4+50*x^3+25*x^2+x+2)^2+(-500*x^4-750*x^3-250*x^2-5*x+5)*exp(25*x^4+50*x^3+25*x^2+x+2))*ln(3*x)-5)*exp((-5*x*ln(ln(3*x))-5*x*exp(25*x^4+50*x^3+25*x^2+x+2)+5*x)/(ln(ln(3*x))+exp(25*x^4+50*x^3+25*x^2+x+2)))/(ln(3*x)*ln(ln(3*x))^2+2*exp(25*x^4+50*x^3+25*x^2+x+2)*ln(3*x)*ln(ln(3*x))+exp(25*x^4+50*x^3+25*x^2+x+2)^2*ln(3*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{5 x \left(\ln \left(\ln \left(3 x \right)\right)+{\mathrm e}^{25 x^{4}+50 x^{3}+25 x^{2}+x +2}-1\right)}{\ln \left(\ln \left(3 x \right)\right)+{\mathrm e}^{25 x^{4}+50 x^{3}+25 x^{2}+x +2}}}$&$58$\\ \hline \end{longtable}"," ",0,"exp(-5*x*(ln(ln(3*x))+exp(25*x^4+50*x^3+25*x^2+x+2)-1)/(ln(ln(3*x))+exp(25*x^4+50*x^3+25*x^2+x+2)))","A"
479,1,20,18,0.046000," ","int(1/9*((-16*x+96)*ln(2)+4*x)/x^3/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{16}{3}+\frac{4 \left(4 \ln \left(2\right)-1\right) x}{9 \ln \left(2\right)}}{x^{2}}$&$20$\\ gosper&$\frac{\frac{16 x \ln \left(2\right)}{9}-\frac{16 \ln \left(2\right)}{3}-\frac{4 x}{9}}{x^{2} \ln \left(2\right)}$&$23$\\ risch&$\frac{\left(16 \ln \left(2\right)-4\right) x -48 \ln \left(2\right)}{9 \ln \left(2\right) x^{2}}$&$23$\\ default&$\frac{-\frac{48 \ln \left(2\right)}{x^{2}}-\frac{4 \left(-4 \ln \left(2\right)+1\right)}{x}}{9 \ln \left(2\right)}$&$26$\\ \hline \end{longtable}"," ",0,"(-16/3+4/9*(4*ln(2)-1)/ln(2)*x)/x^2","A"
480,1,24,20,0.416000," ","int(((((x^2-2*x-3)*exp(x)+2*x-6)*ln(4*x-12)+(-5*x^3+10*x^2+15*x)*exp(x)-10*x^2+30*x)*ln(-ln(4*x-12)+5*x)+(-5*x^2+16*x)*exp(x)-10*x^2+32*x)/((5*x-15)*ln(4*x-12)-25*x^2+75*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{2 x}{5}+\frac{{\mathrm e}^{x} x}{5}\right) \ln \left(-\ln \left(4 x -12\right)+5 x \right)$&$24$\\ \hline \end{longtable}"," ",0,"(2/5*x+1/5*exp(x)*x)*ln(-ln(4*x-12)+5*x)","A"
481,1,16,15,0.152000," ","int(((2*x^2+2*x)*exp(x)+4*x+2)*exp(exp(x))*exp(1/3*(2*x^2+2*x)*exp(exp(x)))*exp(exp(1/3*(2*x^2+2*x)*exp(exp(x))))+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +3 \,{\mathrm e}^{{\mathrm e}^{\frac{2 \,{\mathrm e}^{{\mathrm e}^{x}} \left(x +1\right) x}{3}}}$&$16$\\ \hline \end{longtable}"," ",0,"x+3*exp(exp(2/3*exp(exp(x))*(x+1)*x))","A"
482,1,16,15,0.439000," ","int(((16*x^2-x+4)*ln(16*x^2-x+4)-32*x^2+x)/(16*x^2-x+4)/ln(16*x^2-x+4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{\ln \left(16 x^{2}-x +4\right)}$&$16$\\ risch&$\frac{x}{\ln \left(16 x^{2}-x +4\right)}$&$16$\\ \hline \end{longtable}"," ",0,"x/ln(16*x^2-x+4)","A"
483,1,28,19,0.289000," ","int(((-4*x-2)*ln(x)*ln(x^2+x)+(x^2+2*x+1)*ln(x)+x+1)/(x^2+x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\ln \left(x^{2}+x \right)-\ln \left(x^{2}+x \right)^{2}-\ln \left(x +1\right)+\ln \left(\ln \left(x \right)\right)$&$28$\\ default&$\ln \left(\ln \left(x \right)\right)+x +\ln \left(x \right)-2 \ln \left(x \right) \ln \left(x^{2}+x \right)+\ln \left(x \right)^{2}+2 \ln \left(x \right) \ln \left(x +1\right)-2 \ln \left(x +1\right) \ln \left(x^{2}+x \right)+\ln \left(x +1\right)^{2}$&$48$\\ risch&$\ln \left(\ln \left(x \right)\right)+x +i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(i x \left(x +1\right)\right) \ln \left(x \right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x +1\right)\right)^{2} \ln \left(x \right)-i \pi  \,\mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(i x \left(x +1\right)\right)^{2} \ln \left(x \right)+i \pi  \mathrm{csgn}\left(i x \left(x +1\right)\right)^{3} \ln \left(x \right)+\ln \left(x \right)+i \pi  \ln \left(x +1\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(i x \left(x +1\right)\right)-i \pi  \ln \left(x +1\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x +1\right)\right)^{2}-i \pi  \ln \left(x +1\right) \mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(i x \left(x +1\right)\right)^{2}+i \pi  \ln \left(x +1\right) \mathrm{csgn}\left(i x \left(x +1\right)\right)^{3}-\ln \left(x \right)^{2}-2 \ln \left(x \right) \ln \left(x +1\right)-\ln \left(x +1\right)^{2}$&$210$\\ \hline \end{longtable}"," ",0,"x+ln(x^2+x)-ln(x^2+x)^2-ln(x+1)+ln(ln(x))","A"
484,1,16,15,0.058000," ","int((2*x^2*exp(x^2)*ln(x)+exp(x^2)-x-2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x^{2}} \ln \left(x \right)-x -2 \ln \left(x \right)$&$16$\\ norman&${\mathrm e}^{x^{2}} \ln \left(x \right)-x -2 \ln \left(x \right)$&$16$\\ risch&${\mathrm e}^{x^{2}} \ln \left(x \right)-x -2 \ln \left(x \right)$&$16$\\ \hline \end{longtable}"," ",0,"exp(x^2)*ln(x)-x-2*ln(x)","A"
485,1,37,21,0.114000," ","int((ln(5/x)-1)*ln(x)+(-I*Pi-6*x^2-4)*ln(5/x)+I*Pi+2*x^2+5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(x \right) \ln \left(\frac{5}{x}\right)+\left(-i \pi -5\right) x \ln \left(\frac{5}{x}\right)-2 x^{3} \ln \left(\frac{5}{x}\right)$&$37$\\ risch&$-x \ln \left(x \right)^{2}+\frac{\left(2+2 \ln \left(5\right)\right) x \ln \left(x \right)}{2}-x \ln \left(5\right)+\left(-i \pi  x -2 x^{3}-4 x \right) \ln \left(\frac{5}{x}\right)$&$46$\\ default&$x \ln \left(5\right) \ln \left(x \right)-x \ln \left(5\right)+\ln \left(x \right) \ln \left(\frac{1}{x}\right) x -x \ln \left(\frac{1}{x}\right)-i \pi  x \ln \left(\frac{5}{x}\right)-4 x \ln \left(\frac{5}{x}\right)-2 x^{3} \ln \left(\frac{5}{x}\right)$&$59$\\ \hline \end{longtable}"," ",0,"x*ln(x)*ln(5/x)+(-I*Pi-5)*x*ln(5/x)-2*x^3*ln(5/x)","A"
486,1,27,24,0.066000," ","int((((8*x-24)*exp(1/16*x)+24*x-96)*ln((4*x-12)*exp(1/16*x)+12*x-48)^2+((x^2+13*x)*exp(1/16*x)+48*x)*ln((4*x-12)*exp(1/16*x)+12*x-48)+(-16*x^2+48*x)*exp(1/16*x)-48*x^2+192*x)/((8*x-24)*exp(1/16*x)+24*x-96),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\left(4 x -12\right) {\mathrm e}^{\frac{x}{16}}+12 x -48\right)^{2}-x^{2}$&$27$\\ risch&$x \ln \left(\left(4 x -12\right) {\mathrm e}^{\frac{x}{16}}+12 x -48\right)^{2}-x^{2}$&$27$\\ \hline \end{longtable}"," ",0,"x*ln((4*x-12)*exp(1/16*x)+12*x-48)^2-x^2","A"
487,1,19,20,0.040000," ","int((x*ln(2*x)+3*x^8-21*x^7+3*x^2-3*x-1)/(x*ln(2*x)+3*x^8+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\ln \left(3 x^{7}+\ln \left(2 x \right)+3 x \right)$&$19$\\ risch&$x -\ln \left(3 x^{7}+\ln \left(2 x \right)+3 x \right)$&$19$\\ \hline \end{longtable}"," ",0,"x-ln(3*x^7+ln(2*x)+3*x)","A"
488,1,20,21,0.102000," ","int(((-exp(x)*x^2+4*x)*exp(1/2*exp(x)+1)+4*x*ln(9*x)-2*x)/(exp(1/2*exp(x)+1)^2+2*ln(9*x)*exp(1/2*exp(x)+1)+ln(9*x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{2}}{{\mathrm e}^{\frac{{\mathrm e}^{x}}{2}+1}+\ln \left(9 x \right)}$&$20$\\ \hline \end{longtable}"," ",0,"2*x^2/(exp(1/2*exp(x)+1)+ln(9*x))","A"
489,1,23,22,0.398000," ","int(((12*exp(1)*exp(5)+3*x^2*exp(1))*exp(exp(5)/x)-x^2*ln(5)-x^3+8*x^2)/(3*x^2*exp(1)*exp(exp(5)/x)-x^2*ln(5)-x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -4 \ln \left({\mathrm e}^{\frac{{\mathrm e}^{5}}{x}}-\frac{\left(\ln \left(5\right)-4+x \right) {\mathrm e}^{-1}}{3}\right)$&$23$\\ norman&$x -4 \ln \left(3 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}} {\mathrm e}-\ln \left(5\right)-x +4\right)$&$26$\\ \hline \end{longtable}"," ",0,"x-4*ln(exp(exp(5)/x)-1/3*(ln(5)-4+x)*exp(-1))","A"
490,1,22,21,0.060000," ","int(((exp(2)*x+1-2*x)*ln(exp(1)+15)^2+2*x^2)/x/ln(exp(1)+15)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+{\mathrm e}^{2} x -2 x +\frac{x^{2}}{\ln \left({\mathrm e}+15\right)^{2}}$&$22$\\ norman&$\frac{\frac{x^{2}}{\ln \left({\mathrm e}+15\right)}+\ln \left({\mathrm e}+15\right) \left({\mathrm e}^{2}-2\right) x}{\ln \left({\mathrm e}+15\right)}+\ln \left(x \right)$&$35$\\ default&$\frac{x^{2}+{\mathrm e}^{2} \ln \left({\mathrm e}+15\right)^{2} x -2 x \ln \left({\mathrm e}+15\right)^{2}+\ln \left({\mathrm e}+15\right)^{2} \ln \left(x \right)}{\ln \left({\mathrm e}+15\right)^{2}}$&$44$\\ \hline \end{longtable}"," ",0,"ln(x)+exp(2)*x-2*x+x^2/ln(exp(1)+15)^2","A"
491,1,16,16,0.027000," ","int((18*x*exp(3*x+1)*exp(-6*exp(3*x+1))+x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -{\mathrm e}^{-6 \,{\mathrm e}^{3 x +1}}+\ln \left(x \right)$&$16$\\ risch&$x -{\mathrm e}^{-6 \,{\mathrm e}^{3 x +1}}+\ln \left(x \right)$&$16$\\ default&$x -{\mathrm e}^{-6 \,{\mathrm e}^{3 x +1}}+\ln \left(x \right)$&$17$\\ \hline \end{longtable}"," ",0,"x-exp(-6*exp(3*x+1))+ln(x)","A"
492,1,13,12,0.030000," ","int((-16*x-48)*ln(3)/(5*x^6+40*x^5+80*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \ln \left(3\right)}{5 x^{3} \left(4+x \right)}$&$13$\\ norman&$\frac{4 \ln \left(3\right)}{5 x^{3} \left(4+x \right)}$&$13$\\ risch&$\frac{4 \ln \left(3\right)}{5 x^{3} \left(4+x \right)}$&$13$\\ default&$\frac{16 \ln \left(3\right) \left(\frac{1}{16 x^{3}}-\frac{1}{64 x^{2}}+\frac{1}{256 x}-\frac{1}{256 \left(4+x \right)}\right)}{5}$&$28$\\ \hline \end{longtable}"," ",0,"4/5*ln(3)/x^3/(4+x)","A"
493,1,13,16,0.013000," ","int((exp(1)^2-10)/exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left({\mathrm e}^{2}-10\right) {\mathrm e}^{-2} x$&$13$\\ norman&$\left({\mathrm e}^{2}-10\right) {\mathrm e}^{-2} x$&$13$\\ risch&${\mathrm e}^{-2} x \,{\mathrm e}^{2}-10 \,{\mathrm e}^{-2} x$&$13$\\ \hline \end{longtable}"," ",0,"(exp(1)^2-10)/exp(1)^2*x","A"
494,1,192,31,0.551000," ","int((((-x^2+2*x-1)*exp(1)+x^3-2*x^2+x)*ln(1-x)*ln(ln(1-x))^2+((1-x)*exp(1)+2*x^2-2*x)*ln(1-x)*ln(ln(1-x))+(-x*exp(1)+x^2)*ln(-6/(x*exp(1)-x^2)))*exp((-x*ln(ln(1-x))+ln(-6/(x*exp(1)-x^2)))/ln(ln(1-x)))/((x-1)*exp(1)-x^2+x)/ln(1-x)/ln(ln(1-x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(\frac{i}{x \left({\mathrm e}-x \right)}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i}{x \left({\mathrm e}-x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+i \pi  \mathrm{csgn}\left(\frac{i}{x \left({\mathrm e}-x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{{\mathrm e}-x}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x \left({\mathrm e}-x \right)}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}-x}\right)-2 i \mathrm{csgn}\left(\frac{i}{x \left({\mathrm e}-x \right)}\right)^{2} \pi +2 i \pi -2 x \ln \left(\ln \left(1-x \right)\right)-2 \ln \left(x \right)+2 \ln \left(2\right)+2 \ln \left(3\right)-2 \ln \left({\mathrm e}-x \right)}{2 \ln \left(\ln \left(1-x \right)\right)}}$&$192$\\ \hline \end{longtable}"," ",0,"x*exp(1/2*(I*Pi*csgn(I/x/(exp(1)-x))^3+I*Pi*csgn(I/x/(exp(1)-x))^2*csgn(I/x)+I*Pi*csgn(I/x/(exp(1)-x))^2*csgn(I/(exp(1)-x))-I*Pi*csgn(I/x/(exp(1)-x))*csgn(I/x)*csgn(I/(exp(1)-x))-2*I*csgn(I/x/(exp(1)-x))^2*Pi+2*I*Pi-2*x*ln(ln(1-x))-2*ln(x)+2*ln(2)+2*ln(3)-2*ln(exp(1)-x))/ln(ln(1-x)))","C"
495,1,19,21,0.085000," ","int(((3*x^2-20)*exp(ln(x)+1)-15*x^3)/x^6/exp(ln(x)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4}{x^{5}}-\frac{1}{x^{3}}+\frac{5 \,{\mathrm e}^{-1}}{x^{3}}$&$19$\\ norman&$\frac{4 x -\left({\mathrm e}-5\right) {\mathrm e}^{-1} x^{3}}{x^{6}}$&$22$\\ risch&$\frac{{\mathrm e}^{-1} \left(\left(5-{\mathrm e}\right) x^{2}+4 \,{\mathrm e}\right)}{x^{5}}$&$22$\\ \hline \end{longtable}"," ",0,"4/x^5-1/x^3+5*exp(-1)/x^3","A"
496,1,14,13,0.275000," ","int(((2*x-4)*exp(x)^2*ln(2-x)-2*exp(x)^2)/(x-2)/ln(2-x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2 x}}{\ln \left(2-x \right)^{2}}$&$14$\\ \hline \end{longtable}"," ",0,"exp(2*x)/ln(2-x)^2","A"
497,1,18,14,0.016000," ","int((x*ln(x)-2*x^2+3*x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(x \right)+2 x -x^{2}-\ln \left(x \right)$&$18$\\ norman&$x \ln \left(x \right)+2 x -x^{2}-\ln \left(x \right)$&$18$\\ risch&$x \ln \left(x \right)+2 x -x^{2}-\ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"x*ln(x)+2*x-x^2-ln(x)","A"
498,1,23,27,0.118000," ","int(((40*x^3+80*x^2+40*x)*exp(5)+48*x^6+96*x^5+104*x^4+144*x^3+75*x^2+54*x+18)/(16*x^6+32*x^5+40*x^4+48*x^3+33*x^2+18*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x -\frac{5 \,{\mathrm e}^{5}}{4 x^{2}+3}+\frac{1}{x +1}$&$23$\\ risch&$3 x +\frac{x^{2}-\frac{5 x \,{\mathrm e}^{5}}{4}+\frac{3}{4}-\frac{5 \,{\mathrm e}^{5}}{4}}{x^{3}+x^{2}+\frac{3}{4} x +\frac{3}{4}}$&$33$\\ norman&$\frac{12 x^{4}-6+x^{2}-5 x \,{\mathrm e}^{5}-5 \,{\mathrm e}^{5}}{4 x^{3}+4 x^{2}+3 x +3}$&$38$\\ gosper&$-\frac{-12 x^{4}+5 x \,{\mathrm e}^{5}-x^{2}+5 \,{\mathrm e}^{5}+6}{4 x^{3}+4 x^{2}+3 x +3}$&$41$\\ \hline \end{longtable}"," ",0,"3*x-5/(4*x^2+3)*exp(5)+1/(x+1)","A"
499,1,46,22,0.130000," ","int((10*x^3+10*x)*exp(x^2)*ln(x)^4+20*x*exp(x^2)*ln(x)^3+(60*x^3+400*x^2+60*x+200)*exp(x^2)*ln(x)^2+(60*x+400)*exp(x^2)*ln(x)+(90*x^3+1200*x^2+4090*x+600)*exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(45 x^{2}+600 x +2000\right) {\mathrm e}^{x^{2}}+5 x^{2} {\mathrm e}^{x^{2}} \ln \left(x \right)^{4}+10 x \left(3 x +20\right) {\mathrm e}^{x^{2}} \ln \left(x \right)^{2}$&$46$\\ \hline \end{longtable}"," ",0,"(45*x^2+600*x+2000)*exp(x^2)+5*x^2*exp(x^2)*ln(x)^4+10*x*(3*x+20)*exp(x^2)*ln(x)^2","B"
500,1,22,22,0.042000," ","int((x*ln(30)+2*(x-1)*ln(2)-2*x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+2 x \ln \left(2\right)+x \ln \left(30\right)-2 \ln \left(2\right) \ln \left(x \right)$&$22$\\ norman&$\left(2 \ln \left(2\right)+\ln \left(30\right)\right) x -x^{2}-2 \ln \left(2\right) \ln \left(x \right)$&$22$\\ risch&$3 x \ln \left(2\right)+x \ln \left(3\right)+x \ln \left(5\right)-x^{2}-2 \ln \left(2\right) \ln \left(x \right)$&$26$\\ \hline \end{longtable}"," ",0,"-x^2+2*x*ln(2)+x*ln(30)-2*ln(2)*ln(x)","A"
501,1,27,18,0.020000," ","int(1/4*(-4*x^2-28*x-20)*exp(x)+6*x^2+20*x+1/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{4}+10 x^{2}+2 x^{3}-{\mathrm e}^{x} x^{2}-5 \,{\mathrm e}^{x} x$&$27$\\ norman&$\frac{x}{4}+10 x^{2}+2 x^{3}-{\mathrm e}^{x} x^{2}-5 \,{\mathrm e}^{x} x$&$27$\\ risch&$\frac{\left(-4 x^{2}-20 x \right) {\mathrm e}^{x}}{4}+2 x^{3}+10 x^{2}+\frac{x}{4}$&$28$\\ \hline \end{longtable}"," ",0,"1/4*x+10*x^2+2*x^3-exp(x)*x^2-5*exp(x)*x","A"
502,1,9,13,0.289000," ","int((-x+6)/(x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\ln \left(x -5\right)$&$9$\\ norman&$-x +\ln \left(x -5\right)$&$9$\\ risch&$-x +\ln \left(x -5\right)$&$9$\\ meijerg&$\ln \left(1-\frac{x}{5}\right)-x$&$11$\\ \hline \end{longtable}"," ",0,"-x+ln(x-5)","A"
503,1,29,27,0.428000," ","int(((-2*x^2-4)*exp(5)+x^2)*exp(((-2*x^2-3*x+4)*exp(5)+x^2)/x/exp(5))*exp(exp(((-2*x^2-3*x+4)*exp(5)+x^2)/x/exp(5)))*exp(exp(exp(((-2*x^2-3*x+4)*exp(5)+x^2)/x/exp(5))))/x^2/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{\frac{\left(\left(-2 x^{2}-3 x +4\right) {\mathrm e}^{5}+x^{2}\right) {\mathrm e}^{-5}}{x}}}}$&$29$\\ risch&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{-\frac{\left(2 x^{2} {\mathrm e}^{5}+3 x \,{\mathrm e}^{5}-x^{2}-4 \,{\mathrm e}^{5}\right) {\mathrm e}^{-5}}{x}}}}$&$33$\\ \hline \end{longtable}"," ",0,"exp(exp(exp(((-2*x^2-3*x+4)*exp(5)+x^2)/x/exp(5))))","A"
504,1,14,20,0.036000," ","int(-2*exp(exp(4)-2*x)+4*ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{{\mathrm e}^{4}-2 x}+4 x \ln \left(5\right)$&$14$\\ norman&${\mathrm e}^{{\mathrm e}^{4}-2 x}+4 x \ln \left(5\right)$&$14$\\ risch&${\mathrm e}^{{\mathrm e}^{4}-2 x}+4 x \ln \left(5\right)$&$14$\\ derivativedivides&${\mathrm e}^{{\mathrm e}^{4}-2 x}-2 \ln \left(5\right) \ln \left({\mathrm e}^{{\mathrm e}^{4}-2 x}\right)$&$21$\\ \hline \end{longtable}"," ",0,"exp(exp(4)-2*x)+4*x*ln(5)","A"
505,1,30,21,0.069000," ","int((x^3*exp(exp(3/x^2))^3+(144*exp(3/x^2)-36*x^2)*exp(exp(3/x^2))^2)/(x^3*exp(exp(3/x^2))^3-36*x^2*exp(exp(3/x^2))^2+432*x*exp(exp(3/x^2))-1728),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{24 \left(x \,{\mathrm e}^{{\mathrm e}^{\frac{3}{x^{2}}}}-6\right) x}{\left(x \,{\mathrm e}^{{\mathrm e}^{\frac{3}{x^{2}}}}-12\right)^{2}}$&$30$\\ \hline \end{longtable}"," ",0,"x+24*(x*exp(exp(3/x^2))-6)*x/(x*exp(exp(3/x^2))-12)^2","A"
506,1,22,22,0.044000," ","int(((20*x^3-100*x^2+60*x)*exp(x)*ln(x)^2+(-60*x^2+200*x)*exp(x)*ln(x)+(20*x-60)*exp(x))/((x^5-6*x^4+9*x^3)*ln(x)^4+(-2*x^4+12*x^3-18*x^2)*ln(x)^3+(x^3-6*x^2+9*x)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{20 \,{\mathrm e}^{x}}{\left(x -3\right) \left(x \ln \left(x \right)-1\right) \ln \left(x \right)}$&$22$\\ \hline \end{longtable}"," ",0,"20*exp(x)/(x-3)/(x*ln(x)-1)/ln(x)","A"
507,1,26,21,0.072000," ","int(((-2*x*exp(2*x)^2+4*exp(2*x)*x^2-2*x^3-2*x^2-38*x)*ln(exp(2*x)^2-2*x*exp(2*x)+x^2+x+19)+4*exp(2*x)^2+(-4*x-2)*exp(2*x)+2*x+1)/(exp(2*x)^2-2*x*exp(2*x)+x^2+x+19)/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-x^{2}} \ln \left({\mathrm e}^{4 x}-2 x \,{\mathrm e}^{2 x}+x^{2}+x +19\right)$&$26$\\ \hline \end{longtable}"," ",0,"exp(-x^2)*ln(exp(4*x)-2*x*exp(2*x)+x^2+x+19)","A"
508,1,15,16,0.074000," ","int((4*x^6*exp(x)+6*x^5)*exp(exp(x))^4+2*exp(x^2)*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{4 \,{\mathrm e}^{x}} x^{6}+{\mathrm e}^{x^{2}}$&$15$\\ \hline \end{longtable}"," ",0,"exp(4*exp(x))*x^6+exp(x^2)","A"
509,1,21,21,0.296000," ","int((((x^2-72*x)*ln(ln(2))-x+72)*ln(x*ln(ln(2))-1)+(x^2-36*x)*ln(ln(2)))/((x^3-36*x^2)*ln(ln(2))-x^2+36*x)/ln(x*ln(ln(2))-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(x \right)-\ln \left(x -36\right)+\ln \left(\ln \left(x \ln \left(\ln \left(2\right)\right)-1\right)\right)$&$21$\\ risch&$2 \ln \left(x \right)-\ln \left(x -36\right)+\ln \left(\ln \left(x \ln \left(\ln \left(2\right)\right)-1\right)\right)$&$21$\\ derivativedivides&$\frac{\ln \left(\ln \left(2\right)\right) \ln \left(\ln \left(x \ln \left(\ln \left(2\right)\right)-1\right)\right)-\ln \left(\ln \left(2\right)\right) \ln \left(x \ln \left(\ln \left(2\right)\right)-36 \ln \left(\ln \left(2\right)\right)\right)+2 \ln \left(\ln \left(2\right)\right) \ln \left(x \ln \left(\ln \left(2\right)\right)\right)}{\ln \left(\ln \left(2\right)\right)}$&$49$\\ default&$\frac{\ln \left(\ln \left(2\right)\right) \ln \left(\ln \left(x \ln \left(\ln \left(2\right)\right)-1\right)\right)-\ln \left(\ln \left(2\right)\right) \ln \left(x \ln \left(\ln \left(2\right)\right)-36 \ln \left(\ln \left(2\right)\right)\right)+2 \ln \left(\ln \left(2\right)\right) \ln \left(x \ln \left(\ln \left(2\right)\right)\right)}{\ln \left(\ln \left(2\right)\right)}$&$49$\\ \hline \end{longtable}"," ",0,"2*ln(x)-ln(x-36)+ln(ln(x*ln(ln(2))-1))","A"
510,1,18,23,0.060000," ","int(((4*x^5+8*x^3)*exp(x^2+x-3)+4*exp(x)*x)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2}+2 x^{4} {\mathrm e}^{x^{2}-3}$&$18$\\ norman&$\left(2 \,{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{x^{2}+x -3} x^{4}\right) {\mathrm e}^{-x}$&$26$\\ default&$2 x^{2}+8 \,{\mathrm e}^{-3} \left(\frac{x^{2} {\mathrm e}^{x^{2}}}{2}-\frac{{\mathrm e}^{x^{2}}}{2}\right)+4 \,{\mathrm e}^{-3} \left(\frac{x^{4} {\mathrm e}^{x^{2}}}{2}-x^{2} {\mathrm e}^{x^{2}}+{\mathrm e}^{x^{2}}\right)$&$54$\\ \hline \end{longtable}"," ",0,"2*x^2+2*x^4*exp(x^2-3)","A"
511,1,46,27,0.354000," ","int((-18*x^6-72*x^5-126*x^3+216*x^2-108*x+36)/(x^5*ln(2)+3*x^7+24*x^6+43*x^5-42*x^4+36*x^3-12*x^2+3*x)/ln((x^4*ln(2)+3*x^6+24*x^5+43*x^4-42*x^3+36*x^2-12*x+3)/x^4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3}{\ln \left(\frac{x^{4} \ln \left(2\right)+3 x^{6}+24 x^{5}+43 x^{4}-42 x^{3}+36 x^{2}-12 x +3}{x^{4}}\right)}$&$46$\\ risch&$\frac{3}{\ln \left(\frac{x^{4} \ln \left(2\right)+3 x^{6}+24 x^{5}+43 x^{4}-42 x^{3}+36 x^{2}-12 x +3}{x^{4}}\right)}$&$46$\\ \hline \end{longtable}"," ",0,"3/ln((x^4*ln(2)+3*x^6+24*x^5+43*x^4-42*x^3+36*x^2-12*x+3)/x^4)","A"
512,1,16,9,0.279000," ","int((16*x^2-16)*exp((x^2-6*x+1)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$16 \,{\mathrm e}^{\frac{x^{2}-6 x +1}{x}}$&$16$\\ norman&$16 \,{\mathrm e}^{\frac{x^{2}-6 x +1}{x}}$&$16$\\ risch&$16 \,{\mathrm e}^{\frac{x^{2}-6 x +1}{x}}$&$16$\\ \hline \end{longtable}"," ",0,"16*exp((x^2-6*x+1)/x)","A"
513,1,38,28,0.150000," ","int(((1-2*x)*exp(x)*ln(x)^2+(12*exp(x)*x^3+3*x^3-9*x^2)*ln(x)-3*exp(x)*x^3+3*x^2)*exp(((-x^2+x)*exp(x)*ln(x)+3*exp(x)*x^4-3*x^3)/exp(x)/ln(x))/exp(x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x \left(-3 \,{\mathrm e}^{x} x^{3}+x \,{\mathrm e}^{x} \ln \left(x \right)-{\mathrm e}^{x} \ln \left(x \right)+3 x^{2}\right) {\mathrm e}^{-x}}{\ln \left(x \right)}}$&$38$\\ \hline \end{longtable}"," ",0,"exp(-x*(-3*exp(x)*x^3+x*exp(x)*ln(x)-exp(x)*ln(x)+3*x^2)*exp(-x)/ln(x))","A"
514,1,23,20,0.257000," ","int((((2*x^3-2*x^2-12*x)*ln(x+6)+2*x^2-2*x-12)*exp((x^2*ln(x+6)^2+2*x*ln(x+6)+1)/x^2)+2*x^5+9*x^4-18*x^3)/(x^4+6*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 x +{\mathrm e}^{\frac{\left(x \ln \left(x +6\right)+1\right)^{2}}{x^{2}}}+x^{2}$&$23$\\ default&$-3 x +{\mathrm e}^{\frac{x^{2} \ln \left(x +6\right)^{2}+2 x \ln \left(x +6\right)+1}{x^{2}}}+x^{2}$&$32$\\ \hline \end{longtable}"," ",0,"-3*x+exp((x*ln(x+6)+1)^2/x^2)+x^2","A"
515,1,24,22,0.345000," ","int((281250*ln(5)^4*ln(x)^2+(-3000*ln(5)^2*exp(x)-2250*ln(5)^2)*ln(x)+8*exp(x)^2+(4*x+12)*exp(x)-750*ln(5)^2+4)/(140625*ln(5)^4*ln(x)^2+(-1500*ln(5)^2*exp(x)-1500*ln(5)^2)*ln(x)+4*exp(x)^2+8*exp(x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{2 x}{375 \ln \left(x \right) \ln \left(5\right)^{2}-2 \,{\mathrm e}^{x}-2}$&$24$\\ norman&$\frac{-2 x -4 \,{\mathrm e}^{x} x +750 x \ln \left(5\right)^{2} \ln \left(x \right)}{375 \ln \left(x \right) \ln \left(5\right)^{2}-2 \,{\mathrm e}^{x}-2}$&$36$\\ \hline \end{longtable}"," ",0,"2*x+2*x/(375*ln(x)*ln(5)^2-2*exp(x)-2)","A"
516,1,27,24,0.273000," ","int((((-4*x+8)*ln(x-2)^2+8*x*ln(x-2)-8*x^2+16*x)*exp((ln(x-2)^2-16*x)/x)-8*x^6+16*x^5)/(5*x^5-10*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x^{2}}{5}+\frac{4 \,{\mathrm e}^{\frac{\ln \left(x -2\right)^{2}-16 x}{x}}}{5 x^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"-4/5*x^2+4/5/x^2*exp((ln(x-2)^2-16*x)/x)","A"
517,1,38,20,0.213000," ","int((-16*exp(4)-8*x^2-16)/((25*x^2-200*x+400)*exp(4)^2+(100*x^3-746*x^2+1184*x+800)*exp(4)+100*x^4-692*x^3+797*x^2+1384*x+400),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x -4\right)-\ln \left(1+2 x +{\mathrm e}^{4}\right)+\ln \left(25 x \,{\mathrm e}^{4}+50 x^{2}-100 \,{\mathrm e}^{4}-171 x -100\right)$&$38$\\ risch&$\ln \left(-50 x^{2}+\left(-25 \,{\mathrm e}^{4}+171\right) x +100 \,{\mathrm e}^{4}+100\right)-\ln \left(-2 x^{2}+\left(-{\mathrm e}^{4}+7\right) x +4 \,{\mathrm e}^{4}+4\right)$&$44$\\ default&$-\ln \left(x -4\right)+\left(\munderset{\textit{\_R} =\RootOf \left(100 \textit{\_Z}^{3}+\left(100 \,{\mathrm e}^{4}-292\right) \textit{\_Z}^{2}+\left(25 \,{\mathrm e}^{8}-346 \,{\mathrm e}^{4}-371\right) \textit{\_Z} -100 \,{\mathrm e}^{8}-200 \,{\mathrm e}^{4}-100\right)}{\sum}\frac{\left(100 \textit{\_R} \,{\mathrm e}^{4}+100 \textit{\_R}^{2}+25 \,{\mathrm e}^{8}+54 \,{\mathrm e}^{4}+100 \textit{\_R} +29\right) \ln \left(x -\textit{\_R} \right)}{200 \textit{\_R} \,{\mathrm e}^{4}+300 \textit{\_R}^{2}-346 \,{\mathrm e}^{4}+25 \,{\mathrm e}^{8}-584 \textit{\_R} -371}\right)$&$104$\\ \hline \end{longtable}"," ",0,"-ln(x-4)-ln(1+2*x+exp(4))+ln(25*x*exp(4)+50*x^2-100*exp(4)-171*x-100)","A"
518,1,47,29,0.374000," ","int((((3*x^3-45*x^2+225*x-375)*exp(1)+3*x^4-33*x^3+45*x^2+522*x-1485)*ln(((x^2-10*x+25)*exp(1)+x^3-6*x^2-15*x+99)/(x^2-10*x+25))+(-6*x^4+91*x^3-465*x^2+825*x-125)*exp(1)-6*x^5+70*x^4-146*x^3-804*x^2+2775*x-495)/((x^3-15*x^2+75*x-125)*exp(1)+x^4-11*x^3+15*x^2+174*x-495),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -3 x^{2}+3 x \ln \left(\frac{\left(x^{2}-10 x +25\right) {\mathrm e}+x^{3}-6 x^{2}-15 x +99}{x^{2}-10 x +25}\right)$&$47$\\ risch&$x -3 x^{2}+3 x \ln \left(\frac{\left(x^{2}-10 x +25\right) {\mathrm e}+x^{3}-6 x^{2}-15 x +99}{x^{2}-10 x +25}\right)$&$47$\\ default&$-3 x^{2}+x -3 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+\left({\mathrm e}-6\right) \textit{\_Z}^{2}+\left(-10 \,{\mathrm e}-15\right) \textit{\_Z} +25 \,{\mathrm e}+99\right)}{\sum}\frac{\left(297+\textit{\_R}^{2} {\mathrm e}-20 \textit{\_R} \,{\mathrm e}-6 \textit{\_R}^{2}+75 \,{\mathrm e}-30 \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{2 \textit{\_R} \,{\mathrm e}+3 \textit{\_R}^{2}-10 \,{\mathrm e}-12 \textit{\_R} -15}\right)+3 \ln \left(\frac{x^{2} {\mathrm e}+x^{3}-10 x \,{\mathrm e}-6 x^{2}+25 \,{\mathrm e}-15 x +99}{x^{2}-10 x +25}\right) x -3 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+\left({\mathrm e}-6\right) \textit{\_Z}^{2}+\left(-10 \,{\mathrm e}-15\right) \textit{\_Z} +25 \,{\mathrm e}+99\right)}{\sum}\frac{\left(-\textit{\_R}^{2} {\mathrm e}+20 \textit{\_R} \,{\mathrm e}+6 \textit{\_R}^{2}-75 \,{\mathrm e}+30 \textit{\_R} -297\right) \ln \left(x -\textit{\_R} \right)}{2 \textit{\_R} \,{\mathrm e}+3 \textit{\_R}^{2}-10 \,{\mathrm e}-12 \textit{\_R} -15}\right)$&$220$\\ \hline \end{longtable}"," ",0,"x-3*x^2+3*x*ln(((x^2-10*x+25)*exp(1)+x^3-6*x^2-15*x+99)/(x^2-10*x+25))","A"
519,1,33,29,0.353000," ","int(((5*x^3+19*x^2-29*x-4)*exp((5*x^2-5*x+15)/(2+x))-x^4-4*x^3-9*x^2-20*x-20)*exp((exp((5*x^2-5*x+15)/(2+x))-x^2+x+5)/x)/(x^4+4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-x -{\mathrm e}^{\frac{5 x^{2}-5 x +15}{2+x}}+x^{2}-5}{x}}$&$33$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{{\mathrm e}^{\frac{5 x^{2}-5 x +15}{2+x}}-x^{2}+x +5}{x}}+2 x \,{\mathrm e}^{\frac{{\mathrm e}^{\frac{5 x^{2}-5 x +15}{2+x}}-x^{2}+x +5}{x}}}{x \left(2+x \right)}$&$78$\\ \hline \end{longtable}"," ",0,"exp(-1/x*(-x-exp(5*(x^2-x+3)/(2+x))+x^2-5))","A"
520,1,13,15,0.086000," ","int((-2*x*exp(5-x)^2+x-2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-2 x +10}-2 \ln \left(x \right)$&$13$\\ norman&$x +{\mathrm e}^{-2 x +10}-2 \ln \left(x \right)$&$15$\\ derivativedivides&$3 \ln \left(x \right)-5+x -5 \ln \left(-x \right)+{\mathrm e}^{-2 x +10}$&$22$\\ default&$3 \ln \left(x \right)-5+x -5 \ln \left(-x \right)+{\mathrm e}^{-2 x +10}$&$22$\\ \hline \end{longtable}"," ",0,"x+exp(-2*x+10)-2*ln(x)","A"
521,1,19,26,0.078000," ","int((-2*x*ln(x)*ln(ln(x))+3*ln(2)-2*x-5)/(9*x*ln(2)^2+3*(-4*x^2-10*x)*ln(2)+4*x^3+20*x^2+25*x)/ln(x)/ln(ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{\left(-5+3 \ln \left(2\right)-2 x \right) \ln \left(\ln \left(x \right)\right)}$&$19$\\ \hline \end{longtable}"," ",0,"-1/(-5+3*ln(2)-2*x)/ln(ln(x))","A"
522,1,27,24,0.204000," ","int(((-x^3-10*x^2-25*x)*exp(x)*ln(x)+((-4*x^3-20*x^2-20*x)*ln(2)+13*x^3+109*x^2+235*x-25)*exp(x))/(5*x^3+50*x^2+125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{x} \ln \left(x \right)}{5}-\frac{\left(4 x \ln \left(2\right)-13 x -45\right) {\mathrm e}^{x}}{5 \left(5+x \right)}$&$27$\\ norman&$\frac{\left(-\frac{4 \ln \left(2\right)}{5}+\frac{13}{5}\right) x \,{\mathrm e}^{x}-{\mathrm e}^{x} \ln \left(x \right)-\frac{x \,{\mathrm e}^{x} \ln \left(x \right)}{5}+9 \,{\mathrm e}^{x}}{5+x}$&$35$\\ \hline \end{longtable}"," ",0,"-1/5*exp(x)*ln(x)-1/5*(4*x*ln(2)-13*x-45)/(5+x)*exp(x)","A"
523,1,49,21,0.079000," ","int(((2*exp(5)^2+(-12*x^2+6*x)*exp(5))*ln(x)+(-6*x^2+6*x-4)*exp(5)+36*x^4-54*x^3+42*x^2-12*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{10} \ln \left(x \right)^{2}+\left(-6 x^{2} {\mathrm e}^{5}+6 x \,{\mathrm e}^{5}\right) \ln \left(x \right)+9 x^{4}-18 x^{3}+21 x^{2}-12 x -4 \,{\mathrm e}^{5} \ln \left(x \right)$&$49$\\ norman&$-4 \,{\mathrm e}^{5} \ln \left(x \right)+{\mathrm e}^{10} \ln \left(x \right)^{2}-12 x +21 x^{2}-18 x^{3}+9 x^{4}+6 x \,{\mathrm e}^{5} \ln \left(x \right)-6 x^{2} {\mathrm e}^{5} \ln \left(x \right)$&$51$\\ default&$-12 \,{\mathrm e}^{5} \left(\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}\right)+9 x^{4}+{\mathrm e}^{10} \ln \left(x \right)^{2}+6 \,{\mathrm e}^{5} \left(x \ln \left(x \right)-x \right)-3 x^{2} {\mathrm e}^{5}-18 x^{3}+6 x \,{\mathrm e}^{5}+21 x^{2}-4 \,{\mathrm e}^{5} \ln \left(x \right)-12 x$&$76$\\ \hline \end{longtable}"," ",0,"exp(10)*ln(x)^2+(-6*x^2*exp(5)+6*x*exp(5))*ln(x)+9*x^4-18*x^3+21*x^2-12*x-4*exp(5)*ln(x)","B"
524,1,23,26,0.109000," ","int((x^4-x^3-2*x^2+6*x-6)*exp(2)^2/(5*x^6-30*x^5+55*x^4+30*x^3-175*x^2+60*x+180)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \,{\mathrm e}^{-x +4}}{5 \left(x^{3}-3 x^{2}+x +6\right)}$&$23$\\ gosper&$-\frac{{\mathrm e}^{4} x \,{\mathrm e}^{-x}}{5 \left(x^{3}-3 x^{2}+x +6\right)}$&$25$\\ norman&$-\frac{{\mathrm e}^{4} x \,{\mathrm e}^{-x}}{5 \left(x^{3}-3 x^{2}+x +6\right)}$&$25$\\ default&$\frac{{\mathrm e}^{4} \left(\frac{{\mathrm e}^{-x} \left(151 x^{2}-861 x -1206\right)}{643 x^{3}-1929 x^{2}+643 x +3858}-\frac{\left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-3 \textit{\_Z}^{2}+\textit{\_Z} +6\right)}{\sum}\frac{\left(151 \textit{\_R1}^{2}-67 \textit{\_R1} -546\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, x -\textit{\_R1} \right)}{3 \textit{\_R1}^{2}-6 \textit{\_R1} +1}\right)}{643}-\frac{6 \,{\mathrm e}^{-x} \left(12 x^{2}+21 x -49\right)}{643 \left(x^{3}-3 x^{2}+x +6\right)}+\frac{6 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-3 \textit{\_Z}^{2}+\textit{\_Z} +6\right)}{\sum}\frac{\left(12 \textit{\_R1}^{2}+33 \textit{\_R1} +29\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, x -\textit{\_R1} \right)}{3 \textit{\_R1}^{2}-6 \textit{\_R1} +1}\right)}{643}+\frac{6 \,{\mathrm e}^{-x} \left(57 x^{2}-61 x -72\right)}{643 \left(x^{3}-3 x^{2}+x +6\right)}-\frac{6 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-3 \textit{\_Z}^{2}+\textit{\_Z} +6\right)}{\sum}\frac{\left(57 \textit{\_R1}^{2}-4 \textit{\_R1} -23\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, x -\textit{\_R1} \right)}{3 \textit{\_R1}^{2}-6 \textit{\_R1} +1}\right)}{643}-\frac{2 \,{\mathrm e}^{-x} \left(110 x^{2}-129 x -342\right)}{643 \left(x^{3}-3 x^{2}+x +6\right)}+\frac{2 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-3 \textit{\_Z}^{2}+\textit{\_Z} +6\right)}{\sum}\frac{\left(110 \textit{\_R1}^{2}-19 \textit{\_R1} -270\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, x -\textit{\_R1} \right)}{3 \textit{\_R1}^{2}-6 \textit{\_R1} +1}\right)}{643}-\frac{{\mathrm e}^{-x} \left(201 x^{2}-452 x -660\right)}{643 \left(x^{3}-3 x^{2}+x +6\right)}+\frac{\left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-3 \textit{\_Z}^{2}+\textit{\_Z} +6\right)}{\sum}\frac{\left(201 \textit{\_R1}^{2}-251 \textit{\_R1} -318\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, x -\textit{\_R1} \right)}{3 \textit{\_R1}^{2}-6 \textit{\_R1} +1}\right)}{643}\right)}{5}$&$408$\\ \hline \end{longtable}"," ",0,"-1/5*x/(x^3-3*x^2+x+6)*exp(-x+4)","A"
525,1,65,21,0.054000," ","int((18*x^8*exp(4)*ln(5)^4*exp(x)^4+(72*x^7-72*x^6)*exp(4)*ln(5)^3*exp(x)^3+(-648*x^5-324*x^4)*exp(4)*ln(5)^2*exp(x)^2+(1944*x^3+1944*x^2)*exp(4)*ln(5)*exp(x)+(-1944*x-2430)*exp(4))/x^6/exp(x)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$6 x^{3} {\mathrm e}^{4} \ln \left(5\right)^{4}-72 \ln \left(5\right)^{3} x \,{\mathrm e}^{-x +4}+\frac{324 \ln \left(5\right)^{2} {\mathrm e}^{4-2 x}}{x}-\frac{648 \ln \left(5\right) {\mathrm e}^{4-3 x}}{x^{3}}+\frac{486 \,{\mathrm e}^{-4 x +4}}{x^{5}}$&$65$\\ default&$-2430 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{-4 x}}{5 x^{5}}+\frac{{\mathrm e}^{-4 x}}{5 x^{4}}-\frac{4 \,{\mathrm e}^{-4 x}}{15 x^{3}}+\frac{8 \,{\mathrm e}^{-4 x}}{15 x^{2}}-\frac{32 \,{\mathrm e}^{-4 x}}{15 x}+\frac{128 \expIntegralEi \left(1, 4 x \right)}{15}\right)-1944 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{-4 x}}{4 x^{4}}+\frac{{\mathrm e}^{-4 x}}{3 x^{3}}-\frac{2 \,{\mathrm e}^{-4 x}}{3 x^{2}}+\frac{8 \,{\mathrm e}^{-4 x}}{3 x}-\frac{32 \expIntegralEi \left(1, 4 x \right)}{3}\right)+6 x^{3} {\mathrm e}^{4} \ln \left(5\right)^{4}-\frac{648 \,{\mathrm e}^{-3 x} {\mathrm e}^{4} \ln \left(5\right)}{x^{3}}+\frac{324 \,{\mathrm e}^{-2 x} {\mathrm e}^{4} \ln \left(5\right)^{2}}{x}-72 x \,{\mathrm e}^{-x} {\mathrm e}^{4} \ln \left(5\right)^{3}$&$159$\\ \hline \end{longtable}"," ",0,"6*x^3*exp(4)*ln(5)^4-72*ln(5)^3*x*exp(-x+4)+324/x*ln(5)^2*exp(4-2*x)-648*ln(5)/x^3*exp(4-3*x)+486/x^5*exp(-4*x+4)","B"
526,1,18,18,0.051000," ","int(1/100*(3*exp(3/20*x-1)+200)*exp(1/5*exp(3/20*x-1)+2*x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +{\mathrm e}^{\frac{{\mathrm e}^{\frac{3 x}{20}-1}}{5}+2 x}$&$18$\\ norman&$-x +{\mathrm e}^{\frac{{\mathrm e}^{\frac{3 x}{20}-1}}{5}+2 x}$&$18$\\ risch&$-x +{\mathrm e}^{\frac{{\mathrm e}^{\frac{3 x}{20}-1}}{5}+2 x}$&$18$\\ \hline \end{longtable}"," ",0,"-x+exp(1/5*exp(3/20*x-1)+2*x)","A"
527,1,10,9,0.012000," ","int((-4*x-4)*exp(x)+8752,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$8752 x -4 \,{\mathrm e}^{x} x$&$10$\\ norman&$8752 x -4 \,{\mathrm e}^{x} x$&$10$\\ risch&$8752 x -4 \,{\mathrm e}^{x} x$&$10$\\ \hline \end{longtable}"," ",0,"8752*x-4*exp(x)*x","A"
528,1,533,31,0.314000," ","int((-2*x*ln(x/exp(x))^2+(-4*x^2+20*x-16)*ln(x/exp(x))+(-2*x^3+16*x^2-32*x)*exp(-exp(2*ln(2)+3)+x))/(x^3-8*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left({\mathrm e}^{x}\right)^{2}}{x -4}-\frac{2 \left(-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}-i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}+2 \ln \left(x \right)\right) \ln \left({\mathrm e}^{x}\right)}{x -4}-\frac{\left(\pi^{2} {\mathrm e}^{4 \,{\mathrm e}^{3}} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}-2 \pi^{2} {\mathrm e}^{4 \,{\mathrm e}^{3}} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}+\pi^{2} {\mathrm e}^{4 \,{\mathrm e}^{3}} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{4}-2 \pi^{2} {\mathrm e}^{4 \,{\mathrm e}^{3}} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}+4 \pi^{2} {\mathrm e}^{4 \,{\mathrm e}^{3}} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{4}-2 \pi^{2} {\mathrm e}^{4 \,{\mathrm e}^{3}} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{5}+\pi^{2} {\mathrm e}^{4 \,{\mathrm e}^{3}} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{4}-2 \pi^{2} {\mathrm e}^{4 \,{\mathrm e}^{3}} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{5}+\pi^{2} {\mathrm e}^{4 \,{\mathrm e}^{3}} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{6}+4 i \pi  \,{\mathrm e}^{4 \,{\mathrm e}^{3}} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3} \ln \left(x \right)+4 i \pi  \,{\mathrm e}^{4 \,{\mathrm e}^{3}} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \ln \left(x \right)-4 i \pi  \,{\mathrm e}^{4 \,{\mathrm e}^{3}} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \ln \left(x \right)-4 i \pi  \,{\mathrm e}^{4 \,{\mathrm e}^{3}} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \ln \left(x \right)-4 \,{\mathrm e}^{4 \,{\mathrm e}^{3}} \ln \left(x \right)^{2}+4 \,{\mathrm e}^{x} x -16 \,{\mathrm e}^{x}\right) {\mathrm e}^{-4 \,{\mathrm e}^{3}}}{2 \left(x -4\right)}$&$533$\\ \hline \end{longtable}"," ",0,"2/(x-4)*ln(exp(x))^2-2*(-I*Pi*csgn(I*x)*csgn(I*exp(-x))*csgn(I*x*exp(-x))+I*Pi*csgn(I*x)*csgn(I*x*exp(-x))^2+I*Pi*csgn(I*exp(-x))*csgn(I*x*exp(-x))^2-I*Pi*csgn(I*x*exp(-x))^3+2*ln(x))/(x-4)*ln(exp(x))-1/2*(Pi^2*exp(4*exp(3))*csgn(I*x)^2*csgn(I*exp(-x))^2*csgn(I*x*exp(-x))^2-2*Pi^2*exp(4*exp(3))*csgn(I*x)^2*csgn(I*exp(-x))*csgn(I*x*exp(-x))^3+Pi^2*exp(4*exp(3))*csgn(I*x)^2*csgn(I*x*exp(-x))^4-2*Pi^2*exp(4*exp(3))*csgn(I*x)*csgn(I*exp(-x))^2*csgn(I*x*exp(-x))^3+4*Pi^2*exp(4*exp(3))*csgn(I*x)*csgn(I*exp(-x))*csgn(I*x*exp(-x))^4-2*Pi^2*exp(4*exp(3))*csgn(I*x)*csgn(I*x*exp(-x))^5+Pi^2*exp(4*exp(3))*csgn(I*exp(-x))^2*csgn(I*x*exp(-x))^4-2*Pi^2*exp(4*exp(3))*csgn(I*exp(-x))*csgn(I*x*exp(-x))^5+Pi^2*exp(4*exp(3))*csgn(I*x*exp(-x))^6+4*I*Pi*exp(4*exp(3))*csgn(I*x*exp(-x))^3*ln(x)+4*I*Pi*exp(4*exp(3))*csgn(I*x)*csgn(I*exp(-x))*csgn(I*x*exp(-x))*ln(x)-4*I*Pi*exp(4*exp(3))*csgn(I*exp(-x))*csgn(I*x*exp(-x))^2*ln(x)-4*I*Pi*exp(4*exp(3))*csgn(I*x)*csgn(I*x*exp(-x))^2*ln(x)-4*exp(4*exp(3))*ln(x)^2+4*exp(x)*x-16*exp(x))/(x-4)*exp(-4*exp(3))","C"
529,1,29,27,0.083000," ","int(1/5*(6*x*exp(x-3)*exp((5*x*exp(x-3)+1)/x/exp(x-3))-x*exp(x-3)-x-1)/x/exp(x-3)/exp((5*x*exp(x-3)+1)/x/exp(x-3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 x}{5}-\frac{x \,{\mathrm e}^{-\frac{\left(5 x \,{\mathrm e}^{x -3}+1\right) {\mathrm e}^{3-x}}{x}}}{5}$&$29$\\ norman&$\left(-\frac{x \,{\mathrm e}^{x -3}}{5}+\frac{6 x \,{\mathrm e}^{x -3} {\mathrm e}^{\frac{\left(5 x \,{\mathrm e}^{x -3}+1\right) {\mathrm e}^{3-x}}{x}}}{5}\right) {\mathrm e}^{3-x} {\mathrm e}^{-\frac{\left(5 x \,{\mathrm e}^{x -3}+1\right) {\mathrm e}^{3-x}}{x}}$&$65$\\ \hline \end{longtable}"," ",0,"6/5*x-1/5*x*exp(-(5*x*exp(x-3)+1)/x*exp(3-x))","A"
530,1,20,28,0.041000," ","int((-66*x^2-68*x-32)/(11*x^3+17*x^2+16*x)/ln(-22*x^3-34*x^2-32*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2}{\ln \left(-22 x^{3}-34 x^{2}-32 x \right)}$&$20$\\ risch&$\frac{2}{\ln \left(-22 x^{3}-34 x^{2}-32 x \right)}$&$20$\\ \hline \end{longtable}"," ",0,"2/ln(-22*x^3-34*x^2-32*x)","A"
531,1,22,22,0.088000," ","int(((10*x-46)*ln(x)+(-2*x^2+22*x-56)*exp(x)-2*x^2+28*x-86)/((x^3-10*x^2+23*x)*ln(x)+(x^2-10*x+23)*exp(x)+4*x^2-40*x+92),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 \ln \left({\mathrm e}^{x}+x \ln \left(x \right)+4\right)+\ln \left(x^{2}-10 x +23\right)$&$22$\\ risch&$-2 \ln \left(x \right)+\ln \left(x^{2}-10 x +23\right)-2 \ln \left(\ln \left(x \right)+\frac{{\mathrm e}^{x}+4}{x}\right)$&$29$\\ \hline \end{longtable}"," ",0,"-2*ln(exp(x)+x*ln(x)+4)+ln(x^2-10*x+23)","A"
532,1,9,12,0.016000," ","int((-ln(x)-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(x \right)+2}{x}$&$9$\\ default&$\frac{\ln \left(x \right)}{x}+\frac{2}{x}$&$13$\\ risch&$\frac{\ln \left(x \right)}{x}+\frac{2}{x}$&$13$\\ \hline \end{longtable}"," ",0,"1/x*(ln(x)+2)","A"
533,1,51,24,0.359000," ","int(((4*ln(3)+4*x-4)*exp(x)*ln(2*ln(2))+ln(3)^2+2*x*ln(3)+x^2)/(((4*ln(3)+4*x)*exp(x)+16*ln(3)^2+32*x*ln(3)+16*x^2)*ln(2*ln(2))+(5+x)*ln(3)^2+(2*x^2+10*x)*ln(3)+x^3+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left(3\right)+x \right)+\ln \left(16 \ln \left(3\right) \ln \left(2 \ln \left(2\right)\right)+x \ln \left(3\right)+16 x \ln \left(2 \ln \left(2\right)\right)+4 \,{\mathrm e}^{x} \ln \left(2 \ln \left(2\right)\right)+x^{2}+5 \ln \left(3\right)+5 x \right)$&$51$\\ risch&$-\ln \left(\ln \left(3\right)+x \right)+\ln \left({\mathrm e}^{x}+\frac{16 \ln \left(2\right) \ln \left(3\right)+16 x \ln \left(2\right)+16 \ln \left(3\right) \ln \left(\ln \left(2\right)\right)+x \ln \left(3\right)+16 x \ln \left(\ln \left(2\right)\right)+x^{2}+5 \ln \left(3\right)+5 x}{4 \ln \left(2\right)+4 \ln \left(\ln \left(2\right)\right)}\right)$&$62$\\ \hline \end{longtable}"," ",0,"-ln(ln(3)+x)+ln(16*ln(3)*ln(2*ln(2))+x*ln(3)+16*x*ln(2*ln(2))+4*exp(x)*ln(2*ln(2))+x^2+5*ln(3)+5*x)","B"
534,0,0,19,0.077000," ","int(((4*x^5-40*x^4+160*x^3-320*x^2+320*x-128)*exp(x)^2+(4*x^6-24*x^5+324*x^3-992*x^2+1232*x-576)*exp(x)+4*x^6-28*x^5+40*x^4+156*x^3-656*x^2+944*x-520)*ln(((x^4-8*x^3+24*x^2-32*x+16)*exp(x)^2+(2*x^5-10*x^4+82*x^2-168*x+104)*exp(x)+x^6-2*x^5-14*x^4+34*x^3+62*x^2-240*x+185)/(x^4-8*x^3+24*x^2-32*x+16))/((x^5-10*x^4+40*x^3-80*x^2+80*x-32)*exp(x)^2+(2*x^6-14*x^5+20*x^4+82*x^3-332*x^2+440*x-208)*exp(x)+x^7-4*x^6-10*x^5+62*x^4-6*x^3-364*x^2+665*x-370),x)","\[\int \frac{\left(\left(4 x^{5}-40 x^{4}+160 x^{3}-320 x^{2}+320 x -128\right) {\mathrm e}^{2 x}+\left(4 x^{6}-24 x^{5}+324 x^{3}-992 x^{2}+1232 x -576\right) {\mathrm e}^{x}+4 x^{6}-28 x^{5}+40 x^{4}+156 x^{3}-656 x^{2}+944 x -520\right) \ln \left(\frac{\left(x^{4}-8 x^{3}+24 x^{2}-32 x +16\right) {\mathrm e}^{2 x}+\left(2 x^{5}-10 x^{4}+82 x^{2}-168 x +104\right) {\mathrm e}^{x}+x^{6}-2 x^{5}-14 x^{4}+34 x^{3}+62 x^{2}-240 x +185}{x^{4}-8 x^{3}+24 x^{2}-32 x +16}\right)}{\left(x^{5}-10 x^{4}+40 x^{3}-80 x^{2}+80 x -32\right) {\mathrm e}^{2 x}+\left(2 x^{6}-14 x^{5}+20 x^{4}+82 x^{3}-332 x^{2}+440 x -208\right) {\mathrm e}^{x}+x^{7}-4 x^{6}-10 x^{5}+62 x^{4}-6 x^{3}-364 x^{2}+665 x -370}\, dx\]"," ",0,"int(((4*x^5-40*x^4+160*x^3-320*x^2+320*x-128)*exp(x)^2+(4*x^6-24*x^5+324*x^3-992*x^2+1232*x-576)*exp(x)+4*x^6-28*x^5+40*x^4+156*x^3-656*x^2+944*x-520)*ln(((x^4-8*x^3+24*x^2-32*x+16)*exp(x)^2+(2*x^5-10*x^4+82*x^2-168*x+104)*exp(x)+x^6-2*x^5-14*x^4+34*x^3+62*x^2-240*x+185)/(x^4-8*x^3+24*x^2-32*x+16))/((x^5-10*x^4+40*x^3-80*x^2+80*x-32)*exp(x)^2+(2*x^6-14*x^5+20*x^4+82*x^3-332*x^2+440*x-208)*exp(x)+x^7-4*x^6-10*x^5+62*x^4-6*x^3-364*x^2+665*x-370),x)","F"
535,1,30,15,0.327000," ","int(((10*x^2-12*x-16)*ln(x)*ln(1/9*(-5*x-4)*ln(x))+(5*x^2-20*x)*ln(x)+5*x^2-16*x-16)/(45*x+36)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4 x \ln \left(\frac{\left(-5 x -4\right) \ln \left(x \right)}{9}\right)}{9}+\frac{x^{2} \ln \left(\frac{\left(-5 x -4\right) \ln \left(x \right)}{9}\right)}{9}$&$30$\\ risch&$\frac{x^{2} \ln \left(5\right)}{9}-\frac{2 x^{2} \ln \left(3\right)}{9}-\frac{4 x \ln \left(\ln \left(x \right)\right)}{9}+\frac{x^{2} \ln \left(\ln \left(x \right)\right)}{9}-\frac{4 x \ln \left(5\right)}{9}+\frac{8 x \ln \left(3\right)}{9}+\frac{i \pi  \,x^{2}}{9}-\frac{2 i \pi  x \mathrm{csgn}\left(i \ln \left(x \right) \left(x +\frac{4}{5}\right)\right)^{3}}{9}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right) \left(x +\frac{4}{5}\right)\right)^{3}}{18}-\frac{2 i \pi  x \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x +\frac{4}{5}\right)\right)^{2}}{9}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \left(x +\frac{4}{5}\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x +\frac{4}{5}\right)\right)}{18}-\frac{2 i \pi  x \,\mathrm{csgn}\left(i \left(x +\frac{4}{5}\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x +\frac{4}{5}\right)\right)^{2}}{9}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x +\frac{4}{5}\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x +\frac{4}{5}\right)\right)^{2}}{18}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x +\frac{4}{5}\right)\right)^{2}}{18}+\frac{2 i \pi  x \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \left(x +\frac{4}{5}\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x +\frac{4}{5}\right)\right)}{9}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right) \left(x +\frac{4}{5}\right)\right)^{2}}{9}+\left(\frac{1}{9} x^{2}-\frac{4}{9} x \right) \ln \left(x +\frac{4}{5}\right)+\frac{4 i \pi  x \mathrm{csgn}\left(i \ln \left(x \right) \left(x +\frac{4}{5}\right)\right)^{2}}{9}-\frac{4 i \pi  x}{9}$&$284$\\ \hline \end{longtable}"," ",0,"-4/9*x*ln(1/9*(-5*x-4)*ln(x))+1/9*x^2*ln(1/9*(-5*x-4)*ln(x))","A"
536,1,41,27,0.117000," ","int(((112*x^2-6*x-4)*exp(x^2-3*x)^2*exp(27*x^2)^2+(-116*x^3+12*x^2+6*x)*exp(x^2-3*x)^2*exp(27*x^2)+(4*x^4-6*x^3-2*x^2)*exp(x^2-3*x)^2+x^5*exp(x))/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x}+\frac{{\mathrm e}^{2 x \left(28 x -3\right)}}{x^{4}}-\frac{2 \,{\mathrm e}^{x \left(29 x -6\right)}}{x^{3}}+\frac{{\mathrm e}^{2 x \left(x -3\right)}}{x^{2}}$&$41$\\ \hline \end{longtable}"," ",0,"exp(x)+1/x^4*exp(2*x*(28*x-3))-2/x^3*exp(x*(29*x-6))+1/x^2*exp(2*x*(x-3))","A"
537,1,27,19,0.140000," ","int(1/25*(225*x^2*exp(1)^2*exp(x)+450*x*exp(1)^2+36*x^5)*exp(1/25*(25*exp(1)^2*exp(x)-50*exp(1)^2+x^4)/exp(1)^2)/exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 x^{2} {\mathrm e}^{-\frac{\left(-x^{4}+50 \,{\mathrm e}^{2}-25 \,{\mathrm e}^{2+x}\right) {\mathrm e}^{-2}}{25}}$&$27$\\ norman&$9 x^{2} {\mathrm e}^{\frac{\left(25 \,{\mathrm e}^{2} {\mathrm e}^{x}-50 \,{\mathrm e}^{2}+x^{4}\right) {\mathrm e}^{-2}}{25}}$&$31$\\ \hline \end{longtable}"," ",0,"9*x^2*exp(-1/25*(-x^4+50*exp(2)-25*exp(2+x))*exp(-2))","A"
538,1,23,18,0.041000," ","int(1/4*(-32*x^3+96*x^2)*exp(5-x)+6*x^2+47/4*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{47 x^{2}}{8}+2 x^{3}+8 \,{\mathrm e}^{5-x} x^{3}$&$23$\\ risch&$\frac{47 x^{2}}{8}+2 x^{3}+8 \,{\mathrm e}^{5-x} x^{3}$&$23$\\ default&$\frac{47 x^{2}}{8}+2 x^{3}-8 \,{\mathrm e}^{5-x} \left(5-x \right)^{3}+120 \,{\mathrm e}^{5-x} \left(5-x \right)^{2}-600 \,{\mathrm e}^{5-x} \left(5-x \right)+1000 \,{\mathrm e}^{5-x}$&$63$\\ derivativedivides&$-\frac{1175}{4}+\frac{235 x}{4}+\frac{47 \left(5-x \right)^{2}}{8}+2 x^{3}-8 \,{\mathrm e}^{5-x} \left(5-x \right)^{3}+120 \,{\mathrm e}^{5-x} \left(5-x \right)^{2}-600 \,{\mathrm e}^{5-x} \left(5-x \right)+1000 \,{\mathrm e}^{5-x}$&$71$\\ \hline \end{longtable}"," ",0,"47/8*x^2+2*x^3+8*exp(5-x)*x^3","A"
539,1,13,9,0.228000," ","int((4*x+2)*ln(1/16*x^2+1/16*x)/(x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{1}{16} x^{2}+\frac{1}{16} x \right)^{2}$&$13$\\ risch&$\ln \left(\frac{1}{16} x^{2}+\frac{1}{16} x \right)^{2}$&$13$\\ default&$2 \ln \left(x \right) \ln \left(x^{2}+x \right)-\ln \left(x \right)^{2}-2 \ln \left(x \right) \ln \left(x +1\right)+2 \ln \left(x +1\right) \ln \left(x^{2}+x \right)-\ln \left(x +1\right)^{2}-8 \ln \left(2\right) \ln \left(\left(x +1\right) x \right)$&$56$\\ \hline \end{longtable}"," ",0,"ln(1/16*x^2+1/16*x)^2","A"
540,1,26,21,0.288000," ","int((((-2*x^2-12*x)*ln(3)-3*x-18)*ln(x+6)*ln(ln(x+6))-x^2*ln(3)-3*x-1)/(5*x+30)/ln(x+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-\frac{x^{2} \ln \left(3\right)}{5}-\frac{3 x}{5}\right) \ln \left(\ln \left(x +6\right)\right)-\frac{\ln \left(\ln \left(x +6\right)\right)}{5}$&$26$\\ default&$-\frac{x^{2} \ln \left(3\right) \ln \left(\ln \left(x +6\right)\right)}{5}-\frac{\ln \left(\ln \left(x +6\right)\right)}{5}-\frac{3 x \ln \left(\ln \left(x +6\right)\right)}{5}$&$29$\\ norman&$-\frac{x^{2} \ln \left(3\right) \ln \left(\ln \left(x +6\right)\right)}{5}-\frac{\ln \left(\ln \left(x +6\right)\right)}{5}-\frac{3 x \ln \left(\ln \left(x +6\right)\right)}{5}$&$29$\\ \hline \end{longtable}"," ",0,"(-1/5*x^2*ln(3)-3/5*x)*ln(ln(x+6))-1/5*ln(ln(x+6))","A"
541,1,11,9,0.035000," ","int((-x-1)*exp(x)/(4*exp(x)^2*x^2+8*exp(x)*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1}{4 \,{\mathrm e}^{x} x +4}$&$11$\\ risch&$\frac{1}{4 \,{\mathrm e}^{x} x +4}$&$11$\\ \hline \end{longtable}"," ",0,"1/4/(exp(x)*x+1)","A"
542,1,29,26,0.075000," ","int(((-x^2-2*x)*ln(x)+(x^2+2*x)*exp(exp(5))-x^4-4*x^3+1)/(x^2*ln(x)-x^2*exp(exp(5))+x^4-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)-x -\ln \left(-x^{3}+x \,{\mathrm e}^{{\mathrm e}^{5}}-x \ln \left(x \right)+1\right)$&$29$\\ risch&$-x -2 \ln \left(x \right)-\ln \left(\ln \left(x \right)-\frac{-x^{3}+x \,{\mathrm e}^{{\mathrm e}^{5}}+1}{x}\right)$&$32$\\ \hline \end{longtable}"," ",0,"-ln(x)-x-ln(-x^3+x*exp(exp(5))-x*ln(x)+1)","A"
543,1,18,17,0.069000," ","int((48*x*exp(2)*ln(x)+24*exp(2)*x+4*x)*exp(12*x^2*exp(2)*ln(x)+x^2-16)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{24 x^{2} {\mathrm e}^{2} \ln \left(x \right)+2 x^{2}-32}$&$18$\\ risch&$x^{24 x^{2} {\mathrm e}^{2}} {\mathrm e}^{2 \left(x -4\right) \left(4+x \right)}$&$22$\\ \hline \end{longtable}"," ",0,"exp(12*x^2*exp(2)*ln(x)+x^2-16)^2","A"
544,1,195,26,0.331000," ","int((((-5*x^2+35*x+40)*exp(x)+20*x^2+20*x)*ln(((8-x)*exp(x)+4*x)/x)+(-25*x^2+180*x+120)*exp(x)+80*x^2+80*x)/(((x^3-8*x^2)*exp(x)^2-4*exp(x)*x^3)*ln(((8-x)*exp(x)+4*x)/x)^2+((8*x^3-64*x^2)*exp(x)^2-32*exp(x)*x^3)*ln(((8-x)*exp(x)+4*x)/x)+(16*x^3-128*x^2)*exp(x)^2-64*exp(x)*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10 i {\mathrm e}^{-x}}{x \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \left({\mathrm e}^{x}-4\right)-8 \,{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \left({\mathrm e}^{x}-4\right)-8 \,{\mathrm e}^{x}\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \left({\mathrm e}^{x}-4\right)-8 \,{\mathrm e}^{x}\right)}{x}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i \left(x \left({\mathrm e}^{x}-4\right)-8 \,{\mathrm e}^{x}\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x \left({\mathrm e}^{x}-4\right)-8 \,{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \left({\mathrm e}^{x}-4\right)-8 \,{\mathrm e}^{x}\right)}{x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(x \left({\mathrm e}^{x}-4\right)-8 \,{\mathrm e}^{x}\right)}{x}\right)^{3}-2 \pi -2 i \ln \left(x \right)+2 i \ln \left(x \left({\mathrm e}^{x}-4\right)-8 \,{\mathrm e}^{x}\right)+8 i\right)}$&$195$\\ \hline \end{longtable}"," ",0,"10*I*exp(-x)/x/(Pi*csgn(I/x)*csgn(I*(x*(exp(x)-4)-8*exp(x)))*csgn(I/x*(x*(exp(x)-4)-8*exp(x)))-Pi*csgn(I/x)*csgn(I/x*(x*(exp(x)-4)-8*exp(x)))^2+2*Pi*csgn(I/x*(x*(exp(x)-4)-8*exp(x)))^2-Pi*csgn(I*(x*(exp(x)-4)-8*exp(x)))*csgn(I/x*(x*(exp(x)-4)-8*exp(x)))^2-Pi*csgn(I/x*(x*(exp(x)-4)-8*exp(x)))^3-2*Pi-2*I*ln(x)+2*I*ln(x*(exp(x)-4)-8*exp(x))+8*I)","C"
545,1,105,22,0.262000," ","int(((256*x^3-384*x^2-896*x+512)*exp(exp(1))^3+(-960*x^4+5280*x^3-2784*x^2-15104*x+8192)*exp(exp(1))^2+(1200*x^5-11400*x^4+30200*x^3+2880*x^2-84352*x+43520)*exp(exp(1))-500*x^6+6750*x^5-31650*x^4+50200*x^3+36000*x^2-156160*x+76800)/(64*exp(exp(1))^3+(-240*x+960)*exp(exp(1))^2+(300*x^2-2400*x+4800)*exp(exp(1))-125*x^3+1500*x^2-6000*x+8000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}-2 x^{3}+\frac{32 x \,{\mathrm e}^{{\mathrm e}}}{25}-\frac{27 x^{2}}{5}+\frac{64 x}{5}+\frac{\frac{\left(32 \,{\mathrm e}^{3 \,{\mathrm e}}+440 \,{\mathrm e}^{2 \,{\mathrm e}}+1840 \,{\mathrm e}^{{\mathrm e}}+2200\right) x}{25}-\frac{128 \,{\mathrm e}^{4 \,{\mathrm e}}}{125}-\frac{96 \,{\mathrm e}^{3 \,{\mathrm e}}}{5}-\frac{3216 \,{\mathrm e}^{2 \,{\mathrm e}}}{25}-\frac{1792 \,{\mathrm e}^{{\mathrm e}}}{5}-336}{{\mathrm e}^{2 \,{\mathrm e}}-\frac{5 x \,{\mathrm e}^{{\mathrm e}}}{2}+\frac{25 x^{2}}{16}+10 \,{\mathrm e}^{{\mathrm e}}-\frac{25 x}{2}+25}$&$105$\\ norman&$\frac{\left(-40 \,{\mathrm e}^{{\mathrm e}}-250\right) x^{5}+\left(-32 \,{\mathrm e}^{2 \,{\mathrm e}}-72 \,{\mathrm e}^{{\mathrm e}}+600\right) x^{3}+\left(16 \,{\mathrm e}^{2 \,{\mathrm e}}+240 \,{\mathrm e}^{{\mathrm e}}+665\right) x^{4}+\left(-\frac{896 \,{\mathrm e}^{3 \,{\mathrm e}}}{5}-\frac{15104 \,{\mathrm e}^{2 \,{\mathrm e}}}{5}-31232-\frac{84352 \,{\mathrm e}^{{\mathrm e}}}{5}\right) x +25 x^{6}+\frac{1792 \,{\mathrm e}^{4 \,{\mathrm e}}}{25}+\frac{40448 \,{\mathrm e}^{3 \,{\mathrm e}}}{25}+\frac{340224 \,{\mathrm e}^{2 \,{\mathrm e}}}{25}+\frac{252928 \,{\mathrm e}^{{\mathrm e}}}{5}+70144}{\left(4 \,{\mathrm e}^{{\mathrm e}}-5 x +20\right)^{2}}$&$117$\\ gosper&$\frac{400 x^{4} {\mathrm e}^{2 \,{\mathrm e}}-1000 x^{5} {\mathrm e}^{{\mathrm e}}+625 x^{6}-800 \,{\mathrm e}^{2 \,{\mathrm e}} x^{3}+6000 x^{4} {\mathrm e}^{{\mathrm e}}-6250 x^{5}+1792 \,{\mathrm e}^{4 \,{\mathrm e}}-4480 \,{\mathrm e}^{3 \,{\mathrm e}} x -1800 x^{3} {\mathrm e}^{{\mathrm e}}+16625 x^{4}+40448 \,{\mathrm e}^{3 \,{\mathrm e}}-75520 \,{\mathrm e}^{2 \,{\mathrm e}} x +15000 x^{3}+340224 \,{\mathrm e}^{2 \,{\mathrm e}}-421760 x \,{\mathrm e}^{{\mathrm e}}+1264640 \,{\mathrm e}^{{\mathrm e}}-780800 x +1753600}{400 \,{\mathrm e}^{2 \,{\mathrm e}}-1000 x \,{\mathrm e}^{{\mathrm e}}+625 x^{2}+4000 \,{\mathrm e}^{{\mathrm e}}-5000 x +10000}$&$150$\\ default&$x^{4}-2 x^{3}-\frac{27 x^{2}}{5}+\frac{32 x \,{\mathrm e}^{{\mathrm e}}}{25}+\frac{64 x}{5}+\frac{128 \left(\munderset{\textit{\_R} =\RootOf \left(125 \textit{\_Z}^{3}+\left(-300 \,{\mathrm e}^{{\mathrm e}}-1500\right) \textit{\_Z}^{2}+\left(240 \,{\mathrm e}^{2 \,{\mathrm e}}+2400 \,{\mathrm e}^{{\mathrm e}}+6000\right) \textit{\_Z} -8000-960 \,{\mathrm e}^{2 \,{\mathrm e}}-64 \,{\mathrm e}^{3 \,{\mathrm e}}-4800 \,{\mathrm e}^{{\mathrm e}}\right)}{\sum}\frac{\left(5000-275 \,{\mathrm e}^{2 \,{\mathrm e}} \textit{\_R} -20 \,{\mathrm e}^{3 \,{\mathrm e}} \textit{\_R} -1150 \textit{\_R} \,{\mathrm e}^{{\mathrm e}}+2000 \,{\mathrm e}^{2 \,{\mathrm e}}+300 \,{\mathrm e}^{3 \,{\mathrm e}}+5500 \,{\mathrm e}^{{\mathrm e}}+16 \,{\mathrm e}^{4 \,{\mathrm e}}-1375 \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{400-40 \textit{\_R} \,{\mathrm e}^{{\mathrm e}}+25 \textit{\_R}^{2}+16 \,{\mathrm e}^{2 \,{\mathrm e}}+160 \,{\mathrm e}^{{\mathrm e}}-200 \textit{\_R}}\right)}{375}$&$173$\\ \hline \end{longtable}"," ",0,"x^4-2*x^3+32/25*x*exp(exp(1))-27/5*x^2+64/5*x+(1/25*(32*exp(3*exp(1))+440*exp(2*exp(1))+1840*exp(exp(1))+2200)*x-128/125*exp(4*exp(1))-96/5*exp(3*exp(1))-3216/25*exp(2*exp(1))-1792/5*exp(exp(1))-336)/(exp(2*exp(1))-5/2*x*exp(exp(1))+25/16*x^2+10*exp(exp(1))-25/2*x+25)","B"
546,1,36,25,0.101000," ","int(((10*x-5)*exp(x)^2+(10*x^3+20*x^2)*exp(x)+15*x^4+10*x^3+5*x^2+5*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x^{2}+5 x +5 \ln \left(x \right)+5 x^{3}+\frac{5 \,{\mathrm e}^{2 x}}{x}+\left(10 x +10\right) {\mathrm e}^{x}$&$36$\\ default&$5 x^{2}+5 x +5 \ln \left(x \right)+5 x^{3}+10 \,{\mathrm e}^{x} x +10 \,{\mathrm e}^{x}+\frac{5 \,{\mathrm e}^{2 x}}{x}$&$37$\\ norman&$\frac{5 x^{2}+5 x^{3}+5 x^{4}+5 \,{\mathrm e}^{2 x}+10 \,{\mathrm e}^{x} x +10 \,{\mathrm e}^{x} x^{2}}{x}+5 \ln \left(x \right)$&$44$\\ \hline \end{longtable}"," ",0,"5*x^2+5*x+5*ln(x)+5*x^3+5*exp(2*x)/x+(10*x+10)*exp(x)","A"
547,1,12,10,0.047000," ","int((30*x-117)*exp(15*x^2-117*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{15 x^{2}-117 x +8}$&$12$\\ derivativedivides&${\mathrm e}^{15 x^{2}-117 x +8}$&$12$\\ default&${\mathrm e}^{15 x^{2}-117 x +8}$&$12$\\ norman&${\mathrm e}^{15 x^{2}-117 x +8}$&$12$\\ risch&${\mathrm e}^{15 x^{2}-117 x +8}$&$12$\\ \hline \end{longtable}"," ",0,"exp(15*x^2-117*x+8)","A"
548,1,14,12,0.015000," ","int(1/5*(-11*exp(2)-25)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\left(-11 \,{\mathrm e}^{2}-25\right) {\mathrm e}^{-2} x}{5}$&$14$\\ norman&$-\frac{{\mathrm e}^{-2} \left(11 \,{\mathrm e}^{2}+25\right) x}{5}$&$14$\\ risch&$-\frac{11 \,{\mathrm e}^{-2} x \,{\mathrm e}^{2}}{5}-5 \,{\mathrm e}^{-2} x$&$14$\\ \hline \end{longtable}"," ",0,"1/5*(-11*exp(2)-25)/exp(2)*x","A"
549,1,40,19,0.253000," ","int(((2*x^5-18*x^4)*exp(1)^2+(4*x^4-24*x^3-105*x^2-6*x)*exp(1)+2*x^3-6*x^2-87*x-156)/((2*x^5-20*x^4)*exp(1)^2+(4*x^4-28*x^3-117*x^2)*exp(1)+2*x^3-8*x^2-99*x-171),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\ln \left(x +3+x^{2} {\mathrm e}\right)+\ln \left(2 x^{3} {\mathrm e}-20 x^{2} {\mathrm e}+2 x^{2}-14 x -57\right)$&$40$\\ risch&$x -\ln \left(-x^{2} {\mathrm e}-x -3\right)+\ln \left(2 x^{3} {\mathrm e}+\left(-20 \,{\mathrm e}+2\right) x^{2}-14 x -57\right)$&$41$\\ default&$x +\left(\munderset{\textit{\_R} =\RootOf \left(-171+2 \,{\mathrm e}^{2} \textit{\_Z}^{5}+\left(-20 \,{\mathrm e}^{2}+4 \,{\mathrm e}\right) \textit{\_Z}^{4}+\left(-28 \,{\mathrm e}+2\right) \textit{\_Z}^{3}+\left(-117 \,{\mathrm e}-8\right) \textit{\_Z}^{2}-99 \textit{\_Z} \right)}{\sum}\frac{\left(15+2 \textit{\_R}^{4} {\mathrm e}^{2}+4 \textit{\_R}^{3} {\mathrm e}+2 \left(1+6 \,{\mathrm e}\right) \textit{\_R}^{2}+6 \left(2-{\mathrm e}\right) \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{10 \textit{\_R}^{4} {\mathrm e}^{2}-80 \textit{\_R}^{3} {\mathrm e}^{2}+16 \textit{\_R}^{3} {\mathrm e}-84 \textit{\_R}^{2} {\mathrm e}-234 \textit{\_R} \,{\mathrm e}+6 \textit{\_R}^{2}-16 \textit{\_R} -99}\right)$&$140$\\ \hline \end{longtable}"," ",0,"x-ln(x+3+x^2*exp(1))+ln(2*x^3*exp(1)-20*x^2*exp(1)+2*x^2-14*x-57)","B"
550,1,24,23,0.388000," ","int((-2*x*exp(x)^2+((-156*x+12)*exp(25)+468*x-36)*exp(x)+(-2592*x+432)*exp(25)^2+(15552*x-2592)*exp(25)-23328*x+3888)/(exp(x)^2+(72*exp(25)-216)*exp(x)+1296*exp(25)^2-7776*exp(25)+11664),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+\frac{12 \left({\mathrm e}^{25}-3\right) x}{{\mathrm e}^{x}+36 \,{\mathrm e}^{25}-108}$&$24$\\ norman&$\frac{\left(-36 \,{\mathrm e}^{25}+108\right) x^{2}+\left(12 \,{\mathrm e}^{25}-36\right) x -{\mathrm e}^{x} x^{2}}{{\mathrm e}^{x}+36 \,{\mathrm e}^{25}-108}$&$38$\\ default&$\text{Expression too large to display}$&$2970$\\ \hline \end{longtable}"," ",0,"-x^2+12*(exp(25)-3)*x/(exp(x)+36*exp(25)-108)","A"
551,1,52,33,0.150000," ","int((48*x^8-672*x^7+2160*x^6+5220*x^5-23280*x^4-28440*x^3+56604*x^2+69012*x+6)*exp(6/(ln(3/x)-x^8+16*x^7-60*x^6-174*x^5+970*x^4+1580*x^3-4717*x^2-11502*x-6561))/(x*ln(3/x)^2+(-2*x^9+32*x^8-120*x^7-348*x^6+1940*x^5+3160*x^4-9434*x^3-23004*x^2-13122*x)*ln(3/x)+x^17-32*x^16+376*x^15-1572*x^14-3908*x^13+48760*x^12-26130*x^11-655100*x^10+602158*x^9+5877004*x^8-1864564*x^7-34936372*x^6-26824571*x^5+87777108*x^4+194192478*x^3+150929244*x^2+43046721*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{6}{\ln \left(\frac{3}{x}\right)-x^{8}+16 x^{7}-60 x^{6}-174 x^{5}+970 x^{4}+1580 x^{3}-4717 x^{2}-11502 x -6561}}$&$52$\\ \hline \end{longtable}"," ",0,"exp(6/(ln(3/x)-x^8+16*x^7-60*x^6-174*x^5+970*x^4+1580*x^3-4717*x^2-11502*x-6561))","A"
552,1,10,13,0.017000," ","int(1/3*(exp(2)-101)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{{\mathrm e}^{2}-101}{3 x}$&$10$\\ norman&$\frac{-\frac{{\mathrm e}^{2}}{3}+\frac{101}{3}}{x}$&$11$\\ default&$-\frac{\frac{{\mathrm e}^{2}}{3}-\frac{101}{3}}{x}$&$12$\\ risch&$-\frac{{\mathrm e}^{2}}{3 x}+\frac{101}{3 x}$&$14$\\ \hline \end{longtable}"," ",0,"-1/3/x*(exp(2)-101)","A"
553,1,24,23,0.308000," ","int((-6*ln(x)+2*x^2+16)/(9*ln(x)^2+(-6*x*ln(6)+6*x^2+12*x-30)*ln(x)+x^2*ln(6)^2+(-2*x^3-4*x^2+10*x)*ln(6)+x^4+4*x^3-6*x^2-20*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x}{x \ln \left(6\right)-x^{2}-2 x -3 \ln \left(x \right)+5}$&$24$\\ risch&$\frac{2 x}{x \ln \left(2\right)+x \ln \left(3\right)-x^{2}-2 x -3 \ln \left(x \right)+5}$&$28$\\ \hline \end{longtable}"," ",0,"2*x/(x*ln(6)-x^2-2*x-3*ln(x)+5)","A"
554,1,33,28,0.218000," ","int(1/3*(96*x^3-144*x^2+48*x)*exp(4*exp(3)+4*x^4-8*x^3+4*x^2-8)*exp(exp(4*exp(3)+4*x^4-8*x^3+4*x^2-8))^2+2/3*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{x^{2}}{3}+{\mathrm e}^{2 \,{\mathrm e}^{4 \,{\mathrm e}^{3}+4 x^{4}-8 x^{3}+4 x^{2}-8}}$&$33$\\ norman&$x +\frac{x^{2}}{3}+{\mathrm e}^{2 \,{\mathrm e}^{4 \,{\mathrm e}^{3}+4 x^{4}-8 x^{3}+4 x^{2}-8}}$&$33$\\ risch&$x +\frac{x^{2}}{3}+{\mathrm e}^{2 \,{\mathrm e}^{4 \,{\mathrm e}^{3}+4 x^{4}-8 x^{3}+4 x^{2}-8}}$&$33$\\ \hline \end{longtable}"," ",0,"x+1/3*x^2+exp(exp(4*exp(3)+4*x^4-8*x^3+4*x^2-8))^2","A"
555,1,25,23,0.288000," ","int(((-4*x+12)*ln(x-3)-2*x^3+5*x^2+16*x-36)/(x^3-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-12-\ln \left(x -3\right) x -2 x^{2}+4 \ln \left(x -3\right)}{x}$&$25$\\ derivativedivides&$-\frac{4 \ln \left(x -3\right) \left(x -3\right)}{3 x}-2 x +6-\frac{12}{x}+\frac{\ln \left(x -3\right)}{3}$&$29$\\ default&$-\frac{4 \ln \left(x -3\right) \left(x -3\right)}{3 x}-2 x +6-\frac{12}{x}+\frac{\ln \left(x -3\right)}{3}$&$29$\\ risch&$\frac{4 \ln \left(x -3\right)}{x}-\frac{\ln \left(x -3\right) x +2 x^{2}+12}{x}$&$29$\\ \hline \end{longtable}"," ",0,"(-12-ln(x-3)*x-2*x^2+4*ln(x-3))/x","A"
556,1,70,28,0.387000," ","int((((-18*x^3-360*x^2)*ln(5+1/4*x)*ln(ln(5+1/4*x))^2+(4*x^2+80*x)*exp(5)*ln(5+1/4*x)*ln(ln(5+1/4*x))-2*x^2*exp(5))*exp(1/15*(-3*x^3*ln(ln(5+1/4*x))+x^2*exp(5))/ln(ln(5+1/4*x)))^2+((-18*x^4-378*x^3-360*x^2+30*x+600)*ln(5+1/4*x)*ln(ln(5+1/4*x))^2+(4*x^3+84*x^2+80*x)*exp(5)*ln(5+1/4*x)*ln(ln(5+1/4*x))+(-2*x^3-2*x^2)*exp(5))*exp(1/15*(-3*x^3*ln(ln(5+1/4*x))+x^2*exp(5))/ln(ln(5+1/4*x)))+(30*x^2+630*x+600)*ln(5+1/4*x)*ln(ln(5+1/4*x))^2)/(15*x+300)/ln(5+1/4*x)/ln(ln(5+1/4*x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+{\mathrm e}^{\frac{2 x^{2} \left(-3 \ln \left(\ln \left(5+\frac{x}{4}\right)\right) x +{\mathrm e}^{5}\right)}{15 \ln \left(\ln \left(5+\frac{x}{4}\right)\right)}}+2 x +\left(2 x +2\right) {\mathrm e}^{\frac{x^{2} \left(-3 \ln \left(\ln \left(5+\frac{x}{4}\right)\right) x +{\mathrm e}^{5}\right)}{15 \ln \left(\ln \left(5+\frac{x}{4}\right)\right)}}$&$70$\\ \hline \end{longtable}"," ",0,"x^2+exp(2/15*x^2*(-3*ln(ln(5+1/4*x))*x+exp(5))/ln(ln(5+1/4*x)))+2*x+(2*x+2)*exp(1/15*x^2*(-3*ln(ln(5+1/4*x))*x+exp(5))/ln(ln(5+1/4*x)))","B"
557,1,25,29,0.253000," ","int(((2*x^2-2*x-8)*exp(x)*exp(3*exp(1))^2+(-2*x+8)*exp(3*exp(1)))/(x^3*exp(x)^2*exp(3*exp(1))^2-2*x^3*exp(x)*exp(3*exp(1))+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \,{\mathrm e}^{3 \,{\mathrm e}} \left(x -2\right)}{x^{2} \left({\mathrm e}^{x +3 \,{\mathrm e}}-1\right)}$&$25$\\ norman&$\frac{4 \,{\mathrm e}^{3 \,{\mathrm e}}-2 \,{\mathrm e}^{3 \,{\mathrm e}} x}{x^{2} \left({\mathrm e}^{x} {\mathrm e}^{3 \,{\mathrm e}}-1\right)}$&$33$\\ \hline \end{longtable}"," ",0,"-2*exp(3*exp(1))/x^2*(x-2)/(exp(x+3*exp(1))-1)","A"
558,1,12,19,0.023000," ","int(4*x*exp(2)/(x^4-6*x^2+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{2 \,{\mathrm e}^{2}}{x^{2}-3}$&$12$\\ default&$-\frac{2 \,{\mathrm e}^{2}}{x^{2}-3}$&$12$\\ norman&$-\frac{2 \,{\mathrm e}^{2}}{x^{2}-3}$&$12$\\ risch&$-\frac{2 \,{\mathrm e}^{2}}{x^{2}-3}$&$12$\\ \hline \end{longtable}"," ",0,"-2*exp(2)/(x^2-3)","A"
559,1,18,17,0.171000," ","int((-18*x-54)*exp(exp(10))^2/x^7/exp(x+exp(2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{9 \,{\mathrm e}^{2 \,{\mathrm e}^{10}} {\mathrm e}^{-2 \,{\mathrm e}^{2}-2 x}}{x^{6}}$&$18$\\ norman&$\frac{9 \,{\mathrm e}^{2 \,{\mathrm e}^{10}} {\mathrm e}^{-2 \,{\mathrm e}^{2}-2 x}}{x^{6}}$&$18$\\ risch&$\frac{9 \,{\mathrm e}^{2 \,{\mathrm e}^{10}-2 \,{\mathrm e}^{2}-2 x}}{x^{6}}$&$19$\\ derivativedivides&$18 \,{\mathrm e}^{2 \,{\mathrm e}^{10}} \left({\mathrm e}^{2} \left(-\frac{{\mathrm e}^{-2 \,{\mathrm e}^{2}-2 x} \left(4 \,{\mathrm e}^{10}-20 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{8}+40 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{6}-40 \left(x +{\mathrm e}^{2}\right)^{3} {\mathrm e}^{4}+20 \left(x +{\mathrm e}^{2}\right)^{4} {\mathrm e}^{2}-4 \left(x +{\mathrm e}^{2}\right)^{5}+2 \,{\mathrm e}^{8}-8 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{6}+12 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{4}-8 \left(x +{\mathrm e}^{2}\right)^{3} {\mathrm e}^{2}+2 \left(x +{\mathrm e}^{2}\right)^{4}+2 \,{\mathrm e}^{6}-6 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{4}+6 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{2}-2 \left(x +{\mathrm e}^{2}\right)^{3}+3 \,{\mathrm e}^{4}-6 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{2}+3 \left(x +{\mathrm e}^{2}\right)^{2}-6 x +15\right)}{90 x^{6}}-\frac{4 \,{\mathrm e}^{-2 \,{\mathrm e}^{2}} \expIntegralEi \left(1, 2 x \right)}{45}\right)+\frac{{\mathrm e}^{-2 \,{\mathrm e}^{2}-2 x} \left(4 \,{\mathrm e}^{10}-20 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{8}+40 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{6}-40 \left(x +{\mathrm e}^{2}\right)^{3} {\mathrm e}^{4}+20 \left(x +{\mathrm e}^{2}\right)^{4} {\mathrm e}^{2}-4 \left(x +{\mathrm e}^{2}\right)^{5}+2 \,{\mathrm e}^{8}-8 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{6}+12 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{4}-8 \left(x +{\mathrm e}^{2}\right)^{3} {\mathrm e}^{2}+2 \left(x +{\mathrm e}^{2}\right)^{4}+2 \,{\mathrm e}^{6}-6 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{4}+6 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{2}-2 \left(x +{\mathrm e}^{2}\right)^{3}+3 \,{\mathrm e}^{4}-6 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{2}+3 \left(x +{\mathrm e}^{2}\right)^{2}-6 x +15\right)}{30 x^{6}}+\frac{4 \,{\mathrm e}^{-2 \,{\mathrm e}^{2}} \expIntegralEi \left(1, 2 x \right)}{15}+\frac{{\mathrm e}^{-2 \,{\mathrm e}^{2}-2 x} \left(18 x -4 \,{\mathrm e}^{8}-10 \,{\mathrm e}^{10}-3 \,{\mathrm e}^{6}-3 \,{\mathrm e}^{4}+15 \,{\mathrm e}^{2}+4 \,{\mathrm e}^{12}-9 \left(x +{\mathrm e}^{2}\right)^{2}-58 \left(x +{\mathrm e}^{2}\right)^{4} {\mathrm e}^{2}+22 \left(x +{\mathrm e}^{2}\right)^{3} {\mathrm e}^{2}-15 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{2}+12 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{2}-4 \left(x +{\mathrm e}^{2}\right)^{5} {\mathrm e}^{2}+52 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{8}-108 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{6}+112 \left(x +{\mathrm e}^{2}\right)^{3} {\mathrm e}^{4}+18 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{6}-30 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{4}+12 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{4}-20 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{10}+40 \,{\mathrm e}^{8} \left(x +{\mathrm e}^{2}\right)^{2}-40 \,{\mathrm e}^{6} \left(x +{\mathrm e}^{2}\right)^{3}+20 \,{\mathrm e}^{4} \left(x +{\mathrm e}^{2}\right)^{4}+12 \left(x +{\mathrm e}^{2}\right)^{5}-6 \left(x +{\mathrm e}^{2}\right)^{4}+6 \left(x +{\mathrm e}^{2}\right)^{3}\right)}{90 x^{6}}+\left(\frac{4 \,{\mathrm e}^{2}}{45}-\frac{4}{15}\right) {\mathrm e}^{-2 \,{\mathrm e}^{2}} \expIntegralEi \left(1, 2 x \right)\right)$&$656$\\ default&$18 \,{\mathrm e}^{2 \,{\mathrm e}^{10}} \left({\mathrm e}^{2} \left(-\frac{{\mathrm e}^{-2 \,{\mathrm e}^{2}-2 x} \left(4 \,{\mathrm e}^{10}-20 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{8}+40 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{6}-40 \left(x +{\mathrm e}^{2}\right)^{3} {\mathrm e}^{4}+20 \left(x +{\mathrm e}^{2}\right)^{4} {\mathrm e}^{2}-4 \left(x +{\mathrm e}^{2}\right)^{5}+2 \,{\mathrm e}^{8}-8 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{6}+12 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{4}-8 \left(x +{\mathrm e}^{2}\right)^{3} {\mathrm e}^{2}+2 \left(x +{\mathrm e}^{2}\right)^{4}+2 \,{\mathrm e}^{6}-6 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{4}+6 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{2}-2 \left(x +{\mathrm e}^{2}\right)^{3}+3 \,{\mathrm e}^{4}-6 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{2}+3 \left(x +{\mathrm e}^{2}\right)^{2}-6 x +15\right)}{90 x^{6}}-\frac{4 \,{\mathrm e}^{-2 \,{\mathrm e}^{2}} \expIntegralEi \left(1, 2 x \right)}{45}\right)+\frac{{\mathrm e}^{-2 \,{\mathrm e}^{2}-2 x} \left(4 \,{\mathrm e}^{10}-20 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{8}+40 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{6}-40 \left(x +{\mathrm e}^{2}\right)^{3} {\mathrm e}^{4}+20 \left(x +{\mathrm e}^{2}\right)^{4} {\mathrm e}^{2}-4 \left(x +{\mathrm e}^{2}\right)^{5}+2 \,{\mathrm e}^{8}-8 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{6}+12 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{4}-8 \left(x +{\mathrm e}^{2}\right)^{3} {\mathrm e}^{2}+2 \left(x +{\mathrm e}^{2}\right)^{4}+2 \,{\mathrm e}^{6}-6 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{4}+6 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{2}-2 \left(x +{\mathrm e}^{2}\right)^{3}+3 \,{\mathrm e}^{4}-6 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{2}+3 \left(x +{\mathrm e}^{2}\right)^{2}-6 x +15\right)}{30 x^{6}}+\frac{4 \,{\mathrm e}^{-2 \,{\mathrm e}^{2}} \expIntegralEi \left(1, 2 x \right)}{15}+\frac{{\mathrm e}^{-2 \,{\mathrm e}^{2}-2 x} \left(18 x -4 \,{\mathrm e}^{8}-10 \,{\mathrm e}^{10}-3 \,{\mathrm e}^{6}-3 \,{\mathrm e}^{4}+15 \,{\mathrm e}^{2}+4 \,{\mathrm e}^{12}-9 \left(x +{\mathrm e}^{2}\right)^{2}-58 \left(x +{\mathrm e}^{2}\right)^{4} {\mathrm e}^{2}+22 \left(x +{\mathrm e}^{2}\right)^{3} {\mathrm e}^{2}-15 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{2}+12 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{2}-4 \left(x +{\mathrm e}^{2}\right)^{5} {\mathrm e}^{2}+52 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{8}-108 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{6}+112 \left(x +{\mathrm e}^{2}\right)^{3} {\mathrm e}^{4}+18 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{6}-30 \left(x +{\mathrm e}^{2}\right)^{2} {\mathrm e}^{4}+12 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{4}-20 \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{10}+40 \,{\mathrm e}^{8} \left(x +{\mathrm e}^{2}\right)^{2}-40 \,{\mathrm e}^{6} \left(x +{\mathrm e}^{2}\right)^{3}+20 \,{\mathrm e}^{4} \left(x +{\mathrm e}^{2}\right)^{4}+12 \left(x +{\mathrm e}^{2}\right)^{5}-6 \left(x +{\mathrm e}^{2}\right)^{4}+6 \left(x +{\mathrm e}^{2}\right)^{3}\right)}{90 x^{6}}+\left(\frac{4 \,{\mathrm e}^{2}}{45}-\frac{4}{15}\right) {\mathrm e}^{-2 \,{\mathrm e}^{2}} \expIntegralEi \left(1, 2 x \right)\right)$&$656$\\ \hline \end{longtable}"," ",0,"9*exp(exp(10))^2/x^6/exp(x+exp(2))^2","A"
560,1,29,26,0.232000," ","int((((2*x^4+30*x^3)*exp(3*x)^2+I*(-16*x^3-240*x^2)*Pi*exp(3*x)-(32*x^2+480*x)*Pi^2)*ln(x)^2+(24*x^2+8*x)*exp(3*x)*ln(x)+8*x*exp(3*x)-32*I*Pi)/(x^3*exp(3*x)^2-8*I*x^2*Pi*exp(3*x)-16*x*Pi^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+30 x -\frac{8 i}{\left(i x \,{\mathrm e}^{3 x}+4 \pi \right) \ln \left(x \right)}$&$29$\\ \hline \end{longtable}"," ",0,"x^2+30*x-8*I/(I*x*exp(3*x)+4*Pi)/ln(x)","A"
561,1,23,16,0.042000," ","int(((12*ln(x)*ln(ln(x))+(24*x+300)*ln(x)+12)*exp(ln(ln(ln(x))+x+25)-5)+ln(x)*ln(ln(x))+(x+25)*ln(x))/(ln(x)*ln(ln(x))+(x+25)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +12 \ln \left(\ln \left(x \right)\right) {\mathrm e}^{-5} x +12 \,{\mathrm e}^{-5} x^{2}+300 x \,{\mathrm e}^{-5}$&$23$\\ risch&$x +12 \ln \left(\ln \left(x \right)\right) {\mathrm e}^{-5} x +12 \,{\mathrm e}^{-5} x^{2}+300 x \,{\mathrm e}^{-5}$&$23$\\ \hline \end{longtable}"," ",0,"x+12*ln(ln(x))*exp(-5)*x+12*exp(-5)*x^2+300*x*exp(-5)","A"
562,1,17,22,0.050000," ","int(1/3*(3*(2*x^4-50)*ln(3)+5*x^3)/x^3/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x}{3 \ln \left(3\right)}+x^{2}+\frac{25}{x^{2}}$&$17$\\ norman&$\frac{25+x^{4}+\frac{5 x^{3}}{3 \ln \left(3\right)}}{x^{2}}$&$19$\\ default&$\frac{5 x +3 x^{2} \ln \left(3\right)+\frac{75 \ln \left(3\right)}{x^{2}}}{3 \ln \left(3\right)}$&$25$\\ gosper&$\frac{3 x^{4} \ln \left(3\right)+5 x^{3}+75 \ln \left(3\right)}{3 \ln \left(3\right) x^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"5/3*x/ln(3)+x^2+25/x^2","A"
563,1,22,25,0.065000," ","int((x^4-1857*x^3-129420*x^2+991375*x-721875)/(x^4-1855*x^3-135125*x^2+721875*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x -1925\right)-\ln \left(x^{3}+70 x^{2}-375 x \right)$&$22$\\ default&$x -\ln \left(x \right)+\ln \left(x -1925\right)-\ln \left(x -5\right)-\ln \left(x +75\right)$&$23$\\ norman&$x -\ln \left(x \right)+\ln \left(x -1925\right)-\ln \left(x -5\right)-\ln \left(x +75\right)$&$23$\\ \hline \end{longtable}"," ",0,"x+ln(x-1925)-ln(x^3+70*x^2-375*x)","A"
564,1,11,15,0.018000," ","int((exp(x)*x+10*x+5)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$10 x +5 \ln \left(x \right)+{\mathrm e}^{x}$&$11$\\ norman&$10 x +5 \ln \left(x \right)+{\mathrm e}^{x}$&$11$\\ risch&$10 x +5 \ln \left(x \right)+{\mathrm e}^{x}$&$11$\\ \hline \end{longtable}"," ",0,"10*x+5*ln(x)+exp(x)","A"
565,1,25,23,0.026000," ","int((-6*x^3*exp(8)*exp(x)+(72*x+432)*exp(8)-x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\frac{216 \,{\mathrm e}^{8}}{x^{2}}-\frac{72 \,{\mathrm e}^{8}}{x}-6 \,{\mathrm e}^{8} {\mathrm e}^{x}$&$25$\\ risch&$-x +\frac{-72 x \,{\mathrm e}^{8}-216 \,{\mathrm e}^{8}}{x^{2}}-6 \,{\mathrm e}^{x +8}$&$25$\\ norman&$\frac{-x^{3}-72 x \,{\mathrm e}^{8}-6 x^{2} {\mathrm e}^{8} {\mathrm e}^{x}-216 \,{\mathrm e}^{8}}{x^{2}}$&$29$\\ \hline \end{longtable}"," ",0,"-x-216/x^2*exp(8)-72*exp(8)/x-6*exp(8)*exp(x)","A"
566,1,216,28,0.401000," ","int(((4*x-4)*exp(x-1)^4+(36*x^5*exp(5)^2+(72*x^7+144*x^6-180*x^5)*exp(5)+36*x^9+144*x^8-72*x^7-396*x^6+216*x^5)*exp(x-1)^2+324*x^8*exp(5)^4+(1944*x^10+1620*x^9-3888*x^8)*exp(5)^3+(3888*x^12+6804*x^11-14580*x^10-14580*x^9+17496*x^8)*exp(5)^2+(3240*x^14+8748*x^13-15552*x^12-38556*x^11+34992*x^10+43740*x^9-34992*x^8)*exp(5)+972*x^16+3564*x^15-4860*x^14-23328*x^13+12312*x^12+54432*x^11-26244*x^10-43740*x^9+26244*x^8)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$324 x^{11}+81 x^{12}+7776 x^{7}+1539 x^{8}-486 x^{10}-2592 x^{9}-4374 x^{6}-8748 x^{5}+6561 x^{4}-5508 x^{7} {\mathrm e}^{5}+8748 x^{5} {\mathrm e}^{5}-1944 x^{8} {\mathrm e}^{5}-8748 x^{4} {\mathrm e}^{5}+5832 x^{6} {\mathrm e}^{5}+324 \,{\mathrm e}^{5} x^{10}+972 \,{\mathrm e}^{5} x^{9}+324 x^{6} {\mathrm e}^{15}-2430 x^{6} {\mathrm e}^{10}+324 x^{5} {\mathrm e}^{15}-2916 x^{5} {\mathrm e}^{10}-972 x^{4} {\mathrm e}^{15}+4374 x^{4} {\mathrm e}^{10}+81 x^{4} {\mathrm e}^{20}+486 x^{8} {\mathrm e}^{10}+972 x^{7} {\mathrm e}^{10}+\left(18 x^{4}+36 x^{2} {\mathrm e}^{5}+36 x^{3}+18 \,{\mathrm e}^{10}+36 x \,{\mathrm e}^{5}-90 x^{2}-108 \,{\mathrm e}^{5}-108 x +162\right) {\mathrm e}^{2 x -2}+\frac{{\mathrm e}^{4 x -4}}{x^{4}}$&$216$\\ derivativedivides&$648-648 x -\frac{188244 \,{\mathrm e}^{5}}{x}+648 \left(x -1\right)^{2}+\frac{282204 \,{\mathrm e}^{5}}{x^{2}}-\frac{184032 \,{\mathrm e}^{5}}{x^{3}}-4536 \left(x -1\right)^{4}+324 \left(x -1\right) {\mathrm e}^{20}+\frac{151632 \,{\mathrm e}^{15}}{x}+1620 \left(x -1\right) {\mathrm e}^{5}+18 \,{\mathrm e}^{2 x -2}+\frac{{\mathrm e}^{4 x -4}}{x^{4}}-972 \left(x -1\right) {\mathrm e}^{10}-\frac{7047 \,{\mathrm e}^{10}}{x^{4}}-\frac{16524 \,{\mathrm e}^{10}}{x}-\frac{29403 \,{\mathrm e}^{15}}{x^{4}}+486 \,{\mathrm e}^{10} \left(x -1\right)^{8}+324 \,{\mathrm e}^{15} \left(x -1\right)^{6}+4860 \,{\mathrm e}^{10} \left(x -1\right)^{7}+81 \,{\mathrm e}^{20} \left(x -1\right)^{4}+2268 \,{\mathrm e}^{15} \left(x -1\right)^{5}+17982 \,{\mathrm e}^{10} \left(x -1\right)^{6}+324 \,{\mathrm e}^{20} \left(x -1\right)^{3}+5508 \,{\mathrm e}^{15} \left(x -1\right)^{4}+30132 \,{\mathrm e}^{10} \left(x -1\right)^{5}+486 \,{\mathrm e}^{20} \left(x -1\right)^{2}+5832 \,{\mathrm e}^{15} \left(x -1\right)^{3}+21384 \,{\mathrm e}^{10} \left(x -1\right)^{4}+18 \,{\mathrm e}^{2 x -2} \left(x -1\right)^{4}+2268 \,{\mathrm e}^{15} \left(x -1\right)^{2}+972 \,{\mathrm e}^{10} \left(x -1\right)^{3}+108 \,{\mathrm e}^{2 x -2} \left(x -1\right)^{3}-324 \,{\mathrm e}^{15} \left(x -1\right)-5346 \,{\mathrm e}^{10} \left(x -1\right)^{2}+126 \,{\mathrm e}^{2 x -2} \left(x -1\right)^{2}-108 \,{\mathrm e}^{2 x -2} \left(x -1\right)-\frac{2916 \,{\mathrm e}^{20}}{x^{4}}-15552 \,{\mathrm e}^{10} \left(-\frac{1}{3 x^{3}}+\frac{1}{4 x^{4}}\right)-60264 \,{\mathrm e}^{10} \left(\frac{2}{3 x^{3}}-\frac{1}{4 x^{4}}-\frac{1}{2 x^{2}}\right)-16524 \,{\mathrm e}^{10} \left(-\frac{1}{x^{3}}+\frac{1}{4 x^{4}}+\frac{3}{2 x^{2}}-\frac{1}{x}\right)+\frac{18468 \,{\mathrm e}^{10}}{x^{3}}-\frac{5346 \,{\mathrm e}^{10}}{x^{2}}+2916 \,{\mathrm e}^{15} \left(-\frac{1}{3 x^{3}}+\frac{1}{4 x^{4}}\right)+36936 \,{\mathrm e}^{15} \left(\frac{2}{3 x^{3}}-\frac{1}{4 x^{4}}-\frac{1}{2 x^{2}}\right)+151632 \,{\mathrm e}^{15} \left(-\frac{1}{x^{3}}+\frac{1}{4 x^{4}}+\frac{3}{2 x^{2}}-\frac{1}{x}\right)+\frac{127980 \,{\mathrm e}^{15}}{x^{3}}-\frac{208980 \,{\mathrm e}^{15}}{x^{2}}+2592 \,{\mathrm e}^{20} \left(-\frac{1}{3 x^{3}}+\frac{1}{4 x^{4}}\right)+9072 \,{\mathrm e}^{20} \left(\frac{2}{3 x^{3}}-\frac{1}{4 x^{4}}-\frac{1}{2 x^{2}}\right)+18144 \,{\mathrm e}^{20} \left(-\frac{1}{x^{3}}+\frac{1}{4 x^{4}}+\frac{3}{2 x^{2}}-\frac{1}{x}\right)+\frac{12960 \,{\mathrm e}^{20}}{x^{3}}-\frac{22680 \,{\mathrm e}^{20}}{x^{2}}+\frac{18144 \,{\mathrm e}^{20}}{x}+1872 \,{\mathrm e}^{5} \left(\frac{{\mathrm e}^{2 x -2}}{2 x^{3}}-\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+360 \,{\mathrm e}^{10} \left(\frac{{\mathrm e}^{2 x -2}}{2 x^{3}}-\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+36 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}-\frac{{\mathrm e}^{2 x -2}}{6 x^{3}}-\frac{{\mathrm e}^{2 x -2}}{6 x^{2}}-\frac{{\mathrm e}^{2 x -2}}{3 x}-\frac{2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}\right)+36 \,{\mathrm e}^{10} \left(-\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}-\frac{{\mathrm e}^{2 x -2}}{6 x^{3}}-\frac{{\mathrm e}^{2 x -2}}{6 x^{2}}-\frac{{\mathrm e}^{2 x -2}}{3 x}-\frac{2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}\right)+468 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{2 x -2}}{6 x^{3}}-\frac{{\mathrm e}^{2 x -2}}{6 x^{2}}-\frac{{\mathrm e}^{2 x -2}}{3 x}-\frac{2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}+\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+3600 \,{\mathrm e}^{5} \left(-\frac{5 \,{\mathrm e}^{2 x -2}}{6 x^{3}}+\frac{2 \,{\mathrm e}^{2 x -2}}{3 x^{2}}+\frac{{\mathrm e}^{2 x -2}}{3 x}+\frac{2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}+\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+3780 \,{\mathrm e}^{5} \left(\frac{7 \,{\mathrm e}^{2 x -2}}{6 x^{3}}-\frac{11 \,{\mathrm e}^{2 x -2}}{6 x^{2}}+\frac{{\mathrm e}^{2 x -2}}{3 x}-\frac{{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}-\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+2196 \,{\mathrm e}^{5} \left(\frac{{\mathrm e}^{2 x -2}}{2}-\frac{3 \,{\mathrm e}^{2 x -2}}{2 x^{3}}+\frac{7 \,{\mathrm e}^{2 x -2}}{2 x^{2}}-\frac{3 \,{\mathrm e}^{2 x -2}}{x}-{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)+\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+648 \,{\mathrm e}^{5} \left(\frac{{\mathrm e}^{2 x -2} \left(x -1\right)}{2}-\frac{11 \,{\mathrm e}^{2 x -2}}{4}+\frac{11 \,{\mathrm e}^{2 x -2}}{6 x^{3}}-\frac{17 \,{\mathrm e}^{2 x -2}}{3 x^{2}}+\frac{26 \,{\mathrm e}^{2 x -2}}{3 x}+\frac{7 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}-\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+72 \,{\mathrm e}^{5} \left(\frac{{\mathrm e}^{2 x -2} \left(x -1\right)^{2}}{2}-3 \,{\mathrm e}^{2 x -2} \left(x -1\right)+9 \,{\mathrm e}^{2 x -2}-\frac{13 \,{\mathrm e}^{2 x -2}}{6 x^{3}}+\frac{25 \,{\mathrm e}^{2 x -2}}{3 x^{2}}-\frac{55 \,{\mathrm e}^{2 x -2}}{3 x}-\frac{5 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}+\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+180 \,{\mathrm e}^{10} \left(-\frac{{\mathrm e}^{2 x -2}}{6 x^{3}}-\frac{{\mathrm e}^{2 x -2}}{6 x^{2}}-\frac{{\mathrm e}^{2 x -2}}{3 x}-\frac{2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}+\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+360 \,{\mathrm e}^{10} \left(-\frac{5 \,{\mathrm e}^{2 x -2}}{6 x^{3}}+\frac{2 \,{\mathrm e}^{2 x -2}}{3 x^{2}}+\frac{{\mathrm e}^{2 x -2}}{3 x}+\frac{2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}+\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+180 \,{\mathrm e}^{10} \left(\frac{7 \,{\mathrm e}^{2 x -2}}{6 x^{3}}-\frac{11 \,{\mathrm e}^{2 x -2}}{6 x^{2}}+\frac{{\mathrm e}^{2 x -2}}{3 x}-\frac{{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}-\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+36 \,{\mathrm e}^{10} \left(\frac{{\mathrm e}^{2 x -2}}{2}-\frac{3 \,{\mathrm e}^{2 x -2}}{2 x^{3}}+\frac{7 \,{\mathrm e}^{2 x -2}}{2 x^{2}}-\frac{3 \,{\mathrm e}^{2 x -2}}{x}-{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)+\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)-324 \,{\mathrm e}^{5} \left(\frac{2}{3 x^{3}}-\frac{1}{4 x^{4}}-\frac{1}{2 x^{2}}\right)-188244 \,{\mathrm e}^{5} \left(-\frac{1}{x^{3}}+\frac{1}{4 x^{4}}+\frac{3}{2 x^{2}}-\frac{1}{x}\right)+11988 \,{\mathrm e}^{5} \left(-\frac{1}{3 x^{3}}+\frac{1}{4 x^{4}}\right)+\frac{43983 \,{\mathrm e}^{5}}{x^{4}}+324 \,{\mathrm e}^{5} \left(x -1\right)^{10}+4212 \,{\mathrm e}^{5} \left(x -1\right)^{9}+21384 \,{\mathrm e}^{5} \left(x -1\right)^{8}+52812 \,{\mathrm e}^{5} \left(x -1\right)^{7}+62532 \,{\mathrm e}^{5} \left(x -1\right)^{6}+23328 \,{\mathrm e}^{5} \left(x -1\right)^{5}-15876 \,{\mathrm e}^{5} \left(x -1\right)^{4}-11988 \,{\mathrm e}^{5} \left(x -1\right)^{3}+1944 \,{\mathrm e}^{5} \left(x -1\right)^{2}+81 \left(x -1\right)^{12}+1296 \left(x -1\right)^{11}+8424 \left(x -1\right)^{10}+28188 \left(x -1\right)^{9}+49896 \left(x -1\right)^{8}+39528 \left(x -1\right)^{7}-2106 \left(x -1\right)^{6}-20736 \left(x -1\right)^{5}+4860 \left(x -1\right)^{3}$&$1654$\\ default&$648-648 x -\frac{188244 \,{\mathrm e}^{5}}{x}+648 \left(x -1\right)^{2}+\frac{282204 \,{\mathrm e}^{5}}{x^{2}}-\frac{184032 \,{\mathrm e}^{5}}{x^{3}}-4536 \left(x -1\right)^{4}+324 \left(x -1\right) {\mathrm e}^{20}+\frac{151632 \,{\mathrm e}^{15}}{x}+1620 \left(x -1\right) {\mathrm e}^{5}+18 \,{\mathrm e}^{2 x -2}+\frac{{\mathrm e}^{4 x -4}}{x^{4}}-972 \left(x -1\right) {\mathrm e}^{10}-\frac{7047 \,{\mathrm e}^{10}}{x^{4}}-\frac{16524 \,{\mathrm e}^{10}}{x}-\frac{29403 \,{\mathrm e}^{15}}{x^{4}}+486 \,{\mathrm e}^{10} \left(x -1\right)^{8}+324 \,{\mathrm e}^{15} \left(x -1\right)^{6}+4860 \,{\mathrm e}^{10} \left(x -1\right)^{7}+81 \,{\mathrm e}^{20} \left(x -1\right)^{4}+2268 \,{\mathrm e}^{15} \left(x -1\right)^{5}+17982 \,{\mathrm e}^{10} \left(x -1\right)^{6}+324 \,{\mathrm e}^{20} \left(x -1\right)^{3}+5508 \,{\mathrm e}^{15} \left(x -1\right)^{4}+30132 \,{\mathrm e}^{10} \left(x -1\right)^{5}+486 \,{\mathrm e}^{20} \left(x -1\right)^{2}+5832 \,{\mathrm e}^{15} \left(x -1\right)^{3}+21384 \,{\mathrm e}^{10} \left(x -1\right)^{4}+18 \,{\mathrm e}^{2 x -2} \left(x -1\right)^{4}+2268 \,{\mathrm e}^{15} \left(x -1\right)^{2}+972 \,{\mathrm e}^{10} \left(x -1\right)^{3}+108 \,{\mathrm e}^{2 x -2} \left(x -1\right)^{3}-324 \,{\mathrm e}^{15} \left(x -1\right)-5346 \,{\mathrm e}^{10} \left(x -1\right)^{2}+126 \,{\mathrm e}^{2 x -2} \left(x -1\right)^{2}-108 \,{\mathrm e}^{2 x -2} \left(x -1\right)-\frac{2916 \,{\mathrm e}^{20}}{x^{4}}-15552 \,{\mathrm e}^{10} \left(-\frac{1}{3 x^{3}}+\frac{1}{4 x^{4}}\right)-60264 \,{\mathrm e}^{10} \left(\frac{2}{3 x^{3}}-\frac{1}{4 x^{4}}-\frac{1}{2 x^{2}}\right)-16524 \,{\mathrm e}^{10} \left(-\frac{1}{x^{3}}+\frac{1}{4 x^{4}}+\frac{3}{2 x^{2}}-\frac{1}{x}\right)+\frac{18468 \,{\mathrm e}^{10}}{x^{3}}-\frac{5346 \,{\mathrm e}^{10}}{x^{2}}+2916 \,{\mathrm e}^{15} \left(-\frac{1}{3 x^{3}}+\frac{1}{4 x^{4}}\right)+36936 \,{\mathrm e}^{15} \left(\frac{2}{3 x^{3}}-\frac{1}{4 x^{4}}-\frac{1}{2 x^{2}}\right)+151632 \,{\mathrm e}^{15} \left(-\frac{1}{x^{3}}+\frac{1}{4 x^{4}}+\frac{3}{2 x^{2}}-\frac{1}{x}\right)+\frac{127980 \,{\mathrm e}^{15}}{x^{3}}-\frac{208980 \,{\mathrm e}^{15}}{x^{2}}+2592 \,{\mathrm e}^{20} \left(-\frac{1}{3 x^{3}}+\frac{1}{4 x^{4}}\right)+9072 \,{\mathrm e}^{20} \left(\frac{2}{3 x^{3}}-\frac{1}{4 x^{4}}-\frac{1}{2 x^{2}}\right)+18144 \,{\mathrm e}^{20} \left(-\frac{1}{x^{3}}+\frac{1}{4 x^{4}}+\frac{3}{2 x^{2}}-\frac{1}{x}\right)+\frac{12960 \,{\mathrm e}^{20}}{x^{3}}-\frac{22680 \,{\mathrm e}^{20}}{x^{2}}+\frac{18144 \,{\mathrm e}^{20}}{x}+1872 \,{\mathrm e}^{5} \left(\frac{{\mathrm e}^{2 x -2}}{2 x^{3}}-\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+360 \,{\mathrm e}^{10} \left(\frac{{\mathrm e}^{2 x -2}}{2 x^{3}}-\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+36 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}-\frac{{\mathrm e}^{2 x -2}}{6 x^{3}}-\frac{{\mathrm e}^{2 x -2}}{6 x^{2}}-\frac{{\mathrm e}^{2 x -2}}{3 x}-\frac{2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}\right)+36 \,{\mathrm e}^{10} \left(-\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}-\frac{{\mathrm e}^{2 x -2}}{6 x^{3}}-\frac{{\mathrm e}^{2 x -2}}{6 x^{2}}-\frac{{\mathrm e}^{2 x -2}}{3 x}-\frac{2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}\right)+468 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{2 x -2}}{6 x^{3}}-\frac{{\mathrm e}^{2 x -2}}{6 x^{2}}-\frac{{\mathrm e}^{2 x -2}}{3 x}-\frac{2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}+\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+3600 \,{\mathrm e}^{5} \left(-\frac{5 \,{\mathrm e}^{2 x -2}}{6 x^{3}}+\frac{2 \,{\mathrm e}^{2 x -2}}{3 x^{2}}+\frac{{\mathrm e}^{2 x -2}}{3 x}+\frac{2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}+\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+3780 \,{\mathrm e}^{5} \left(\frac{7 \,{\mathrm e}^{2 x -2}}{6 x^{3}}-\frac{11 \,{\mathrm e}^{2 x -2}}{6 x^{2}}+\frac{{\mathrm e}^{2 x -2}}{3 x}-\frac{{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}-\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+2196 \,{\mathrm e}^{5} \left(\frac{{\mathrm e}^{2 x -2}}{2}-\frac{3 \,{\mathrm e}^{2 x -2}}{2 x^{3}}+\frac{7 \,{\mathrm e}^{2 x -2}}{2 x^{2}}-\frac{3 \,{\mathrm e}^{2 x -2}}{x}-{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)+\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+648 \,{\mathrm e}^{5} \left(\frac{{\mathrm e}^{2 x -2} \left(x -1\right)}{2}-\frac{11 \,{\mathrm e}^{2 x -2}}{4}+\frac{11 \,{\mathrm e}^{2 x -2}}{6 x^{3}}-\frac{17 \,{\mathrm e}^{2 x -2}}{3 x^{2}}+\frac{26 \,{\mathrm e}^{2 x -2}}{3 x}+\frac{7 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}-\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+72 \,{\mathrm e}^{5} \left(\frac{{\mathrm e}^{2 x -2} \left(x -1\right)^{2}}{2}-3 \,{\mathrm e}^{2 x -2} \left(x -1\right)+9 \,{\mathrm e}^{2 x -2}-\frac{13 \,{\mathrm e}^{2 x -2}}{6 x^{3}}+\frac{25 \,{\mathrm e}^{2 x -2}}{3 x^{2}}-\frac{55 \,{\mathrm e}^{2 x -2}}{3 x}-\frac{5 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}+\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+180 \,{\mathrm e}^{10} \left(-\frac{{\mathrm e}^{2 x -2}}{6 x^{3}}-\frac{{\mathrm e}^{2 x -2}}{6 x^{2}}-\frac{{\mathrm e}^{2 x -2}}{3 x}-\frac{2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}+\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+360 \,{\mathrm e}^{10} \left(-\frac{5 \,{\mathrm e}^{2 x -2}}{6 x^{3}}+\frac{2 \,{\mathrm e}^{2 x -2}}{3 x^{2}}+\frac{{\mathrm e}^{2 x -2}}{3 x}+\frac{2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}+\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+180 \,{\mathrm e}^{10} \left(\frac{7 \,{\mathrm e}^{2 x -2}}{6 x^{3}}-\frac{11 \,{\mathrm e}^{2 x -2}}{6 x^{2}}+\frac{{\mathrm e}^{2 x -2}}{3 x}-\frac{{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)}{3}-\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)+36 \,{\mathrm e}^{10} \left(\frac{{\mathrm e}^{2 x -2}}{2}-\frac{3 \,{\mathrm e}^{2 x -2}}{2 x^{3}}+\frac{7 \,{\mathrm e}^{2 x -2}}{2 x^{2}}-\frac{3 \,{\mathrm e}^{2 x -2}}{x}-{\mathrm e}^{-2} \expIntegralEi \left(1, -2 x \right)+\frac{{\mathrm e}^{2 x -2}}{4 x^{4}}\right)-324 \,{\mathrm e}^{5} \left(\frac{2}{3 x^{3}}-\frac{1}{4 x^{4}}-\frac{1}{2 x^{2}}\right)-188244 \,{\mathrm e}^{5} \left(-\frac{1}{x^{3}}+\frac{1}{4 x^{4}}+\frac{3}{2 x^{2}}-\frac{1}{x}\right)+11988 \,{\mathrm e}^{5} \left(-\frac{1}{3 x^{3}}+\frac{1}{4 x^{4}}\right)+\frac{43983 \,{\mathrm e}^{5}}{x^{4}}+324 \,{\mathrm e}^{5} \left(x -1\right)^{10}+4212 \,{\mathrm e}^{5} \left(x -1\right)^{9}+21384 \,{\mathrm e}^{5} \left(x -1\right)^{8}+52812 \,{\mathrm e}^{5} \left(x -1\right)^{7}+62532 \,{\mathrm e}^{5} \left(x -1\right)^{6}+23328 \,{\mathrm e}^{5} \left(x -1\right)^{5}-15876 \,{\mathrm e}^{5} \left(x -1\right)^{4}-11988 \,{\mathrm e}^{5} \left(x -1\right)^{3}+1944 \,{\mathrm e}^{5} \left(x -1\right)^{2}+81 \left(x -1\right)^{12}+1296 \left(x -1\right)^{11}+8424 \left(x -1\right)^{10}+28188 \left(x -1\right)^{9}+49896 \left(x -1\right)^{8}+39528 \left(x -1\right)^{7}-2106 \left(x -1\right)^{6}-20736 \left(x -1\right)^{5}+4860 \left(x -1\right)^{3}$&$1654$\\ \hline \end{longtable}"," ",0,"324*x^11+81*x^12+7776*x^7+1539*x^8-486*x^10-2592*x^9-4374*x^6-8748*x^5+6561*x^4-5508*x^7*exp(5)+8748*x^5*exp(5)-1944*x^8*exp(5)-8748*x^4*exp(5)+5832*x^6*exp(5)+324*exp(5)*x^10+972*exp(5)*x^9+324*x^6*exp(15)-2430*x^6*exp(10)+324*x^5*exp(15)-2916*x^5*exp(10)-972*x^4*exp(15)+4374*x^4*exp(10)+81*x^4*exp(20)+486*x^8*exp(10)+972*x^7*exp(10)+(18*x^4+36*x^2*exp(5)+36*x^3+18*exp(10)+36*x*exp(5)-90*x^2-108*exp(5)-108*x+162)*exp(2*x-2)+exp(4*x-4)/x^4","B"
567,1,40,28,0.273000," ","int((((3*x-4)*exp(x)+3*x-4)*exp(-exp(x)-x-2)^2+((-3*x^2+4*x)*exp(x)-3*x^2+7*x-4)*exp(-exp(x)-x-2)-3*x^2+7*x-7)/(3*x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-{\mathrm e}^{x}-x -2} x -\frac{x^{2}}{2}-\frac{{\mathrm e}^{-2 \,{\mathrm e}^{x}-2 x -4}}{2}-\ln \left(3 x -4\right)$&$40$\\ norman&$x +{\mathrm e}^{-{\mathrm e}^{x}-x -2} x -\frac{x^{2}}{2}-\frac{{\mathrm e}^{-2 \,{\mathrm e}^{x}-2 x -4}}{2}-\ln \left(3 x -4\right)$&$42$\\ \hline \end{longtable}"," ",0,"x+exp(-exp(x)-x-2)*x-1/2*x^2-1/2*exp(-2*exp(x)-2*x-4)-ln(3*x-4)","A"
568,1,18,18,0.021000," ","int(1/5*(-25*ln(2)*ln(5)-16)/x^2/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{25 \ln \left(2\right) \ln \left(5\right)+16}{5 x \ln \left(5\right)}$&$18$\\ default&$-\frac{-25 \ln \left(2\right) \ln \left(5\right)-16}{5 x \ln \left(5\right)}$&$18$\\ norman&$\frac{25 \ln \left(2\right) \ln \left(5\right)+16}{5 x \ln \left(5\right)}$&$18$\\ risch&$\frac{5 \ln \left(2\right)}{x}+\frac{16}{5 x \ln \left(5\right)}$&$18$\\ \hline \end{longtable}"," ",0,"1/5*(25*ln(2)*ln(5)+16)/x/ln(5)","A"
569,1,14,13,0.026000," ","int((-x*ln(5)+x*ln(2)+3*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)+x \left(3-\ln \left(5\right)+\ln \left(2\right)\right)$&$14$\\ default&$3 x -x \ln \left(5\right)+x \ln \left(2\right)+\ln \left(x \right)$&$16$\\ risch&$3 x -x \ln \left(5\right)+x \ln \left(2\right)+\ln \left(x \right)$&$16$\\ \hline \end{longtable}"," ",0,"ln(x)+x*(3-ln(5)+ln(2))","A"
570,1,50,30,0.192000," ","int(((-6*x^2-63*x-160)*ln(ln(3))^2+(14*x^3+128*x^2+320*x)*ln(ln(3))+6*x^6+73*x^5+280*x^4+316*x^3)/(3*x^5+30*x^4+75*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{5}+\left(\ln \left(\ln \left(3\right)\right)^{2}-\frac{64 \ln \left(\ln \left(3\right)\right)}{3}\right) x +\left(-\frac{316}{3}-\frac{14 \ln \left(\ln \left(3\right)\right)}{3}\right) x^{2}+\frac{28 x^{4}}{3}+\frac{16 \ln \left(\ln \left(3\right)\right)^{2}}{3}}{x^{2} \left(5+x \right)}$&$50$\\ default&$\frac{13 x}{3}+x^{2}+\frac{16 \ln \left(\ln \left(3\right)\right)^{2}}{15 x^{2}}-\frac{\ln \left(\ln \left(3\right)\right) \left(\ln \left(\ln \left(3\right)\right)+320\right)}{75 x}-\frac{-\frac{\ln \left(\ln \left(3\right)\right)^{2}}{25}+\frac{6 \ln \left(\ln \left(3\right)\right)}{5}-9}{3 \left(5+x \right)}$&$52$\\ risch&$x^{2}+\frac{13 x}{3}+\frac{\frac{\left(-14 \ln \left(\ln \left(3\right)\right)+9\right) x^{2}}{3}+\frac{\left(3 \ln \left(\ln \left(3\right)\right)^{2}-64 \ln \left(\ln \left(3\right)\right)\right) x}{3}+\frac{16 \ln \left(\ln \left(3\right)\right)^{2}}{3}}{x^{2} \left(5+x \right)}$&$53$\\ gosper&$\frac{3 x^{5}+28 x^{4}+3 \ln \left(\ln \left(3\right)\right)^{2} x -14 x^{2} \ln \left(\ln \left(3\right)\right)+16 \ln \left(\ln \left(3\right)\right)^{2}-64 \ln \left(\ln \left(3\right)\right) x -316 x^{2}}{3 x^{2} \left(5+x \right)}$&$56$\\ \hline \end{longtable}"," ",0,"(x^5+(ln(ln(3))^2-64/3*ln(ln(3)))*x+(-316/3-14/3*ln(ln(3)))*x^2+28/3*x^4+16/3*ln(ln(3))^2)/x^2/(5+x)","A"
571,1,32,25,0.244000," ","int(1/5*((-x^2+2*x+2)*exp(1)*exp((x*ln(exp(x)/x)+2)/x)-11*x*exp(1))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{11 \,{\mathrm e}}{5 x}-\frac{{\mathrm e} \,{\mathrm e}^{\frac{x \ln \left(\frac{{\mathrm e}^{x}}{x}\right)+2}{x}}}{5 x}$&$32$\\ \hline \end{longtable}"," ",0,"11/5*exp(1)/x-1/5*exp(1)/x*exp((x*ln(exp(x)/x)+2)/x)","A"
572,1,14,13,0.019000," ","int(1/4*(220*ln(x)^2+12*x^3*ln(x)-3*x^3)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$55 x +\frac{3 x^{4}}{4 \ln \left(x \right)}$&$14$\\ risch&$55 x +\frac{3 x^{4}}{4 \ln \left(x \right)}$&$14$\\ norman&$\frac{\frac{3 x^{4}}{4}+55 x \ln \left(x \right)}{\ln \left(x \right)}$&$17$\\ \hline \end{longtable}"," ",0,"55*x+3/4*x^4/ln(x)","A"
573,1,26,22,0.421000," ","int((-12*exp(1)+144*x^2-432*x+144)*exp(x)/(144*ln(2)*exp(x)^2+(-24*exp(1)+288*x^2-288*x)*ln(2)*exp(x)+(exp(1)^2+(-24*x^2+24*x)*exp(1)+144*x^4-288*x^3+144*x^2)*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{12 \,{\mathrm e}^{x}}{\ln \left(2\right) \left(-12 x^{2}+{\mathrm e}-12 \,{\mathrm e}^{x}+12 x \right)}$&$26$\\ risch&$-\frac{-12 x^{2}+{\mathrm e}+12 x}{\ln \left(2\right) \left(-12 x^{2}+{\mathrm e}-12 \,{\mathrm e}^{x}+12 x \right)}$&$35$\\ \hline \end{longtable}"," ",0,"-12*exp(x)/ln(2)/(-12*x^2+exp(1)-12*exp(x)+12*x)","A"
574,1,310,29,0.345000," ","int((((2*x+4)*ln(3)-2*x^2-4*x)*ln((ln(3)^2-2*x*ln(3)+x^2)/(x^2+4*x+4))+(-4*x*ln(3)-8*x)*ln(x)+(4*x+8)*ln(3)-4*x^2-8*x)/((x^2+2*x)*ln(3)-x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(x \right) \ln \left(\ln \left(3\right)-x \right)-i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{\left(2+x \right)^{2}}\right) \mathrm{csgn}\left(i \left(\ln \left(3\right)-x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right)-x \right)^{2}}{\left(2+x \right)^{2}}\right)+i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{\left(2+x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right)-x \right)^{2}}{\left(2+x \right)^{2}}\right)^{2}+i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)^{2}\right)-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(2+x \right)\right) \mathrm{csgn}\left(i \left(2+x \right)^{2}\right)^{2}+i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(2+x \right)^{2}\right)^{3}-i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(\ln \left(3\right)-x \right)\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(3\right)-x \right)^{2}\right)+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(\ln \left(3\right)-x \right)\right) \mathrm{csgn}\left(i \left(\ln \left(3\right)-x \right)^{2}\right)^{2}-i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(\ln \left(3\right)-x \right)^{2}\right)^{3}+i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(\ln \left(3\right)-x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right)-x \right)^{2}}{\left(2+x \right)^{2}}\right)^{2}-i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right)-x \right)^{2}}{\left(2+x \right)^{2}}\right)^{3}-4 \ln \left(x \right) \ln \left(2+x \right)+4 \ln \left(x \right)$&$310$\\ default&$4 \ln \left(x \right)-2 \ln \left(\frac{1}{2+x}\right) \ln \left(\frac{\ln \left(3\right)^{2}}{\left(2+x \right)^{2}}+\frac{4 \ln \left(3\right)}{\left(2+x \right)^{2}}-\frac{2 \ln \left(3\right)}{2+x}+\frac{4}{\left(2+x \right)^{2}}-\frac{4}{2+x}+1\right)+\frac{8 \ln \left(-\frac{2+\ln \left(3\right)}{2+x}+1\right) \ln \left(\frac{1}{2+x}\right)}{2+\ln \left(3\right)}-\frac{8 \ln \left(-\frac{2+\ln \left(3\right)}{2+x}+1\right) \ln \left(\frac{2+\ln \left(3\right)}{2+x}\right)}{2+\ln \left(3\right)}-\frac{8 \dilog \left(\frac{2+\ln \left(3\right)}{2+x}\right)}{2+\ln \left(3\right)}+\frac{4 \ln \left(3\right) \ln \left(-\frac{2+\ln \left(3\right)}{2+x}+1\right) \ln \left(\frac{1}{2+x}\right)}{2+\ln \left(3\right)}-\frac{4 \ln \left(3\right) \ln \left(-\frac{2+\ln \left(3\right)}{2+x}+1\right) \ln \left(\frac{2+\ln \left(3\right)}{2+x}\right)}{2+\ln \left(3\right)}-\frac{4 \ln \left(3\right) \dilog \left(\frac{2+\ln \left(3\right)}{2+x}\right)}{2+\ln \left(3\right)}+2 \ln \left(-1+\frac{2}{2+x}\right) \ln \left(\frac{\ln \left(3\right)^{2}}{\left(2+x \right)^{2}}+\frac{4 \ln \left(3\right)}{\left(2+x \right)^{2}}-\frac{2 \ln \left(3\right)}{2+x}+\frac{4}{\left(2+x \right)^{2}}-\frac{4}{2+x}+1\right)-\frac{4 \ln \left(3\right) \dilog \left(\frac{\left(2+\ln \left(3\right)\right) \left(-1+\frac{2}{2+x}\right)+\ln \left(3\right)}{\ln \left(3\right)}\right)}{2+\ln \left(3\right)}-\frac{4 \ln \left(3\right) \ln \left(-1+\frac{2}{2+x}\right) \ln \left(\frac{\left(2+\ln \left(3\right)\right) \left(-1+\frac{2}{2+x}\right)+\ln \left(3\right)}{\ln \left(3\right)}\right)}{2+\ln \left(3\right)}-\frac{8 \dilog \left(\frac{\left(2+\ln \left(3\right)\right) \left(-1+\frac{2}{2+x}\right)+\ln \left(3\right)}{\ln \left(3\right)}\right)}{2+\ln \left(3\right)}-\frac{8 \ln \left(-1+\frac{2}{2+x}\right) \ln \left(\frac{\left(2+\ln \left(3\right)\right) \left(-1+\frac{2}{2+x}\right)+\ln \left(3\right)}{\ln \left(3\right)}\right)}{2+\ln \left(3\right)}-\frac{4 \ln \left(3\right) \ln \left(x \right) \ln \left(1+\frac{x}{2}\right)}{2+\ln \left(3\right)}-\frac{4 \ln \left(3\right) \dilog \left(1+\frac{x}{2}\right)}{2+\ln \left(3\right)}-\frac{4 \ln \left(3\right) \ln \left(\frac{\ln \left(3\right)-x}{\ln \left(3\right)}\right) \ln \left(\frac{x}{\ln \left(3\right)}\right)}{2+\ln \left(3\right)}+\frac{4 \ln \left(3\right) \ln \left(\frac{\ln \left(3\right)-x}{\ln \left(3\right)}\right) \ln \left(x \right)}{2+\ln \left(3\right)}-\frac{4 \ln \left(3\right) \dilog \left(\frac{x}{\ln \left(3\right)}\right)}{2+\ln \left(3\right)}-\frac{8 \ln \left(x \right) \ln \left(1+\frac{x}{2}\right)}{2+\ln \left(3\right)}-\frac{8 \dilog \left(1+\frac{x}{2}\right)}{2+\ln \left(3\right)}-\frac{8 \ln \left(\frac{\ln \left(3\right)-x}{\ln \left(3\right)}\right) \ln \left(\frac{x}{\ln \left(3\right)}\right)}{2+\ln \left(3\right)}+\frac{8 \ln \left(\frac{\ln \left(3\right)-x}{\ln \left(3\right)}\right) \ln \left(x \right)}{2+\ln \left(3\right)}-\frac{8 \dilog \left(\frac{x}{\ln \left(3\right)}\right)}{2+\ln \left(3\right)}$&$628$\\ \hline \end{longtable}"," ",0,"4*ln(x)*ln(ln(3)-x)-I*Pi*ln(x)*csgn(I/(2+x)^2)*csgn(I*(ln(3)-x)^2)*csgn(I/(2+x)^2*(ln(3)-x)^2)+I*Pi*ln(x)*csgn(I/(2+x)^2)*csgn(I/(2+x)^2*(ln(3)-x)^2)^2+I*Pi*ln(x)*csgn(I*(2+x))^2*csgn(I*(2+x)^2)-2*I*Pi*ln(x)*csgn(I*(2+x))*csgn(I*(2+x)^2)^2+I*Pi*ln(x)*csgn(I*(2+x)^2)^3-I*Pi*ln(x)*csgn(I*(ln(3)-x))^2*csgn(I*(ln(3)-x)^2)+2*I*Pi*ln(x)*csgn(I*(ln(3)-x))*csgn(I*(ln(3)-x)^2)^2-I*Pi*ln(x)*csgn(I*(ln(3)-x)^2)^3+I*Pi*ln(x)*csgn(I*(ln(3)-x)^2)*csgn(I/(2+x)^2*(ln(3)-x)^2)^2-I*Pi*ln(x)*csgn(I/(2+x)^2*(ln(3)-x)^2)^3-4*ln(x)*ln(2+x)+4*ln(x)","C"
575,1,26,26,0.129000," ","int(((128*x^3+1056*x^2+2176*x+576)*exp(-x^4-11*x^3-34*x^2-18*x)+32)/(exp(-x^4-11*x^3-34*x^2-18*x)^3-3*x*exp(-x^4-11*x^3-34*x^2-18*x)^2+3*x^2*exp(-x^4-11*x^3-34*x^2-18*x)-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16}{\left(x -{\mathrm e}^{-x \left(x^{3}+11 x^{2}+34 x +18\right)}\right)^{2}}$&$26$\\ norman&$\frac{16}{\left(x -{\mathrm e}^{-x^{4}-11 x^{3}-34 x^{2}-18 x}\right)^{2}}$&$29$\\ \hline \end{longtable}"," ",0,"16/(x-exp(-x*(x^3+11*x^2+34*x+18)))^2","A"
576,1,25,21,0.085000," ","int(((-1280*x^4+2*x+9)*ln(x)^2*exp(exp(x))^2+(10*exp(x)*x-5)*ln(x)+5)/ln(x)^2/exp(exp(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-256 x^{5}+x^{2}+9 x -\frac{5 x \,{\mathrm e}^{-2 \,{\mathrm e}^{x}}}{\ln \left(x \right)}$&$25$\\ \hline \end{longtable}"," ",0,"-256*x^5+x^2+9*x-5/ln(x)*x*exp(-2*exp(x))","A"
577,1,758,30,0.771000," ","int((((12*x*exp(4)-3*x^2*exp(1)+21*x^2)*exp(x)^2+4*exp(x)*x^2)*ln(1/9*((144*exp(4)^2+(-72*x*exp(1)+504*x)*exp(4)+9*x^2*exp(1)^2-126*x^2*exp(1)+441*x^2)*exp(x)^2+(96*x*exp(4)-24*x^2*exp(1)+168*x^2)*exp(x)+16*x^2)/exp(x)^2/x^2)+24*exp(4)*exp(x)^2+8*exp(x)*x^2)/((12*x*exp(4)-3*x^2*exp(1)+21*x^2)*exp(x)+4*x^2)/ln(1/9*((144*exp(4)^2+(-72*x*exp(1)+504*x)*exp(4)+9*x^2*exp(1)^2-126*x^2*exp(1)+441*x^2)*exp(x)^2+(96*x*exp(4)-24*x^2*exp(1)+168*x^2)*exp(x)+16*x^2)/exp(x)^2/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i {\mathrm e}^{x}}{\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)^{2} {\mathrm e}^{-2 x}}{x^{2}}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)^{2} {\mathrm e}^{-2 x}}{x^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+2 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)\right)^{2} \mathrm{csgn}\left(i \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)\right) \mathrm{csgn}\left(i \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)^{2}\right)-\pi  \,\mathrm{csgn}\left(i \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)^{2}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)^{2} {\mathrm e}^{-2 x}}{x^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(-x \,{\mathrm e}^{x +1}+4 \,{\mathrm e}^{4+x}-\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)^{2} {\mathrm e}^{-2 x}}{x^{2}}\right)^{3}+4 i \ln \left(x \,{\mathrm e}^{x +1}-4 \,{\mathrm e}^{4+x}+\left(-7 \,{\mathrm e}^{x}-\frac{4}{3}\right) x \right)-4 i \ln \left({\mathrm e}^{x}\right)-4 i \ln \left(x \right)}$&$758$\\ \hline \end{longtable}"," ",0,"2*I*exp(x)/(Pi*csgn(I/x^2)*csgn(I*exp(-2*x)*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x)^2)*csgn(I/x^2*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x)^2*exp(-2*x))-Pi*csgn(I/x^2)*csgn(I/x^2*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x)^2*exp(-2*x))^2-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3-Pi*csgn(I*exp(x))^2*csgn(I*exp(2*x))+2*Pi*csgn(I*exp(x))*csgn(I*exp(2*x))^2+Pi*csgn(I*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x))^2*csgn(I*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x)^2)+2*Pi*csgn(I*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x))*csgn(I*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x)^2)^2+Pi*csgn(I*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x)^2)^3+Pi*csgn(I*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x)^2)*csgn(I*exp(-2*x))*csgn(I*exp(-2*x)*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x)^2)-Pi*csgn(I*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x)^2)*csgn(I*exp(-2*x)*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x)^2)^2-Pi*csgn(I*exp(-2*x))*csgn(I*exp(-2*x)*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x)^2)^2-Pi*csgn(I*exp(2*x))^3+Pi*csgn(I*exp(-2*x)*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x)^2)^3-Pi*csgn(I*exp(-2*x)*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x)^2)*csgn(I/x^2*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x)^2*exp(-2*x))^2+Pi*csgn(I/x^2*(-x*exp(x+1)+4*exp(4+x)-(-7*exp(x)-4/3)*x)^2*exp(-2*x))^3+4*I*ln(x*exp(x+1)-4*exp(4+x)+(-7*exp(x)-4/3)*x)-4*I*ln(exp(x))-4*I*ln(x))","C"
578,1,52,31,0.148000," ","int((((4*x*exp(1)-8*x^2)*ln(3)^2+(4*x^3*exp(1)-8*x^4)*ln(3))*ln(x)^3+(((-6*x^2*exp(1)+12*x^3)*ln(3)-2*x^4*exp(1)+4*x^5)*ln(-exp(1)+2*x)-4*x^3*ln(3)-4*x^5)*ln(x)^2+((2*x^3*exp(1)-4*x^4)*ln(-exp(1)+2*x)^2+((-2*x^2*exp(1)+4*x^3)*ln(3)-2*x^4*exp(1)+4*x^5+4*x^4)*ln(-exp(1)+2*x))*ln(x)+(2*x^3*exp(1)-4*x^4)*ln(-exp(1)+2*x)^2)/((exp(1)-2*x)*ln(3)^3*ln(x)^3+(-3*x*exp(1)+6*x^2)*ln(3)^2*ln(-exp(1)+2*x)*ln(x)^2+(3*x^2*exp(1)-6*x^3)*ln(3)*ln(-exp(1)+2*x)^2*ln(x)+(-x^3*exp(1)+2*x^4)*ln(-exp(1)+2*x)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2} \ln \left(x \right)+2 \ln \left(3\right) \ln \left(x \right)-2 \ln \left(-{\mathrm e}+2 x \right) x \right) x^{2} \ln \left(x \right)}{\left(\ln \left(3\right) \ln \left(x \right)-\ln \left(-{\mathrm e}+2 x \right) x \right)^{2}}$&$52$\\ \hline \end{longtable}"," ",0,"(x^2*ln(x)+2*ln(3)*ln(x)-2*ln(-exp(1)+2*x)*x)*x^2*ln(x)/(ln(3)*ln(x)-ln(-exp(1)+2*x)*x)^2","A"
579,1,25,27,0.264000," ","int(((4*x^4+24*x^3)*ln(2*x/(x+6))-5*x^5-30*x^4+3*x^3-18*x^2)/(x+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{4} \ln \left(\frac{2 x}{x +6}\right)-x^{3}-x^{5}$&$25$\\ risch&$x^{4} \ln \left(\frac{2 x}{x +6}\right)-x^{3}-x^{5}$&$25$\\ derivativedivides&$-\left(x +6\right)^{5}+2178 \left(x +6\right)^{2}-6588 x -39528-361 \left(x +6\right)^{3}+30 \left(x +6\right)^{4}-54 \ln \left(2-\frac{12}{x +6}\right) \left(2-\frac{12}{x +6}\right) \left(-\frac{12}{x +6}-2\right) \left(x +6\right)^{2}-432 \ln \left(2-\frac{12}{x +6}\right) \left(2-\frac{12}{x +6}\right) \left(x +6\right)-3 \ln \left(2-\frac{12}{x +6}\right) \left(2-\frac{12}{x +6}\right) \left(\left(2-\frac{12}{x +6}\right)^{2}+\frac{72}{x +6}\right) \left(x +6\right)^{3}-\frac{\ln \left(2-\frac{12}{x +6}\right) \left(2-\frac{12}{x +6}\right) \left(\left(2-\frac{12}{x +6}\right)^{3}-8 \left(2-\frac{12}{x +6}\right)^{2}-\frac{288}{x +6}+16\right) \left(x +6\right)^{4}}{16}$&$197$\\ default&$-\left(x +6\right)^{5}+2178 \left(x +6\right)^{2}-6588 x -39528-361 \left(x +6\right)^{3}+30 \left(x +6\right)^{4}-54 \ln \left(2-\frac{12}{x +6}\right) \left(2-\frac{12}{x +6}\right) \left(-\frac{12}{x +6}-2\right) \left(x +6\right)^{2}-432 \ln \left(2-\frac{12}{x +6}\right) \left(2-\frac{12}{x +6}\right) \left(x +6\right)-3 \ln \left(2-\frac{12}{x +6}\right) \left(2-\frac{12}{x +6}\right) \left(\left(2-\frac{12}{x +6}\right)^{2}+\frac{72}{x +6}\right) \left(x +6\right)^{3}-\frac{\ln \left(2-\frac{12}{x +6}\right) \left(2-\frac{12}{x +6}\right) \left(\left(2-\frac{12}{x +6}\right)^{3}-8 \left(2-\frac{12}{x +6}\right)^{2}-\frac{288}{x +6}+16\right) \left(x +6\right)^{4}}{16}$&$197$\\ \hline \end{longtable}"," ",0,"x^4*ln(2*x/(x+6))-x^3-x^5","A"
580,1,18,16,0.051000," ","int((2*ln(x)^2+2*exp(1/4)^4*ln(x)+exp(1/4)^4)/x^3/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{x^{2}}-\frac{{\mathrm e}}{x^{2} \ln \left(x \right)}$&$18$\\ norman&$\frac{-{\mathrm e}-\ln \left(x \right)}{x^{2} \ln \left(x \right)}$&$20$\\ default&$-\frac{1}{x^{2}}-2 \,{\mathrm e} \expIntegralEi \left(1, 2 \ln \left(x \right)\right)+{\mathrm e} \left(-\frac{1}{x^{2} \ln \left(x \right)}+2 \expIntegralEi \left(1, 2 \ln \left(x \right)\right)\right)$&$42$\\ \hline \end{longtable}"," ",0,"-1/x^2-1/x^2*exp(1)/ln(x)","A"
581,1,17,17,0.293000," ","int(((x*exp(3)-x^2)*exp(x)-2*exp(3))/(2*x*exp(3)-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)+\ln \left(x -{\mathrm e}^{3}\right)+\frac{{\mathrm e}^{x}}{2}$&$17$\\ norman&$\frac{{\mathrm e}^{x}}{2}-\ln \left(x \right)+\ln \left(-x +{\mathrm e}^{3}\right)$&$17$\\ risch&$-\ln \left(x \right)+\ln \left(x -{\mathrm e}^{3}\right)+\frac{{\mathrm e}^{x}}{2}$&$17$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(x-exp(3))+1/2*exp(x)","A"
582,1,34,27,0.297000," ","int(((-2*exp(x)+2)*ln(ln(2))^2+(4*exp(x)*x-6*x)*ln(ln(2))-2*exp(x)*x^2+3*x^2-2)/(2*ln(ln(2))^2-4*x*ln(ln(2))+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{1}{x -\ln \left(\ln \left(2\right)\right)}+\frac{3 x}{2}+\frac{\ln \left(\ln \left(2\right)\right)^{2}}{2 x -2 \ln \left(\ln \left(2\right)\right)}-{\mathrm e}^{x}$&$34$\\ norman&$\frac{{\mathrm e}^{x} x -\frac{3 x^{2}}{2}-\ln \left(\ln \left(2\right)\right) {\mathrm e}^{x}-1+\ln \left(\ln \left(2\right)\right)^{2}}{\ln \left(\ln \left(2\right)\right)-x}$&$34$\\ risch&$\frac{3 x}{2}-\frac{\ln \left(\ln \left(2\right)\right)^{2}}{2 \left(\ln \left(\ln \left(2\right)\right)-x \right)}-\frac{1}{\ln \left(\ln \left(2\right)\right)-x}-{\mathrm e}^{x}$&$36$\\ \hline \end{longtable}"," ",0,"1/(x-ln(ln(2)))+3/2*x+1/2*ln(ln(2))^2/(x-ln(ln(2)))-exp(x)","A"
583,1,23,23,0.304000," ","int(((24*x^16-240*x^14+864*x^12-1344*x^10+774*x^8)*exp(ln(x^2-4)+x^8-8*x^6+24*x^4-32*x^2+16)-18*x^2+72)/(x^9-4*x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{x^{6}}+\left(3 x^{2}-12\right) {\mathrm e}^{\left(x^{2}-2\right)^{4}}$&$23$\\ \hline \end{longtable}"," ",0,"3/x^6+(3*x^2-12)*exp((x^2-2)^4)","A"
584,1,37,18,0.275000," ","int((x*ln(x)*ln(120/ln(x))+(x^3+x^2-x)*ln(x)-1)/(x*ln(x)*ln(120/ln(x))+(x^3-x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(\ln \left(\ln \left(x \right)\right)+\frac{i \left(2 i x^{2}+2 i \ln \left(5\right)+6 i \ln \left(2\right)+2 i \ln \left(3\right)-2 i x \right)}{2}\right)$&$37$\\ \hline \end{longtable}"," ",0,"x+ln(ln(ln(x))+1/2*I*(2*I*x^2+2*I*ln(5)+6*I*ln(2)+2*I*ln(3)-2*I*x))","C"
585,1,44,33,0.512000," ","int(((-x^2+x+1)*exp((x-5)*exp(-ln(-x^3+x^2+x)+4)-x)+(2*x^3-16*x^2+10*x+5)*exp(-ln(-x^3+x^2+x)+4)+x^3-2*x-1)/(x^2-x-1)/exp((x-5)*exp(-ln(-x^3+x^2+x)+4)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +x \,{\mathrm e}^{\frac{x^{4}-x^{3}+x \,{\mathrm e}^{4}-x^{2}-5 \,{\mathrm e}^{4}}{\left(x^{2}-x -1\right) x}}$&$44$\\ default&$-x +\frac{\left(x^{3}-x^{2}-x \right) {\mathrm e}^{-\frac{\left(x -5\right) {\mathrm e}^{4}}{-x^{3}+x^{2}+x}+x}}{x^{2}-x -1}$&$53$\\ norman&$\frac{\left(x^{3}+{\mathrm e}^{\frac{\left(x -5\right) {\mathrm e}^{4}}{-x^{3}+x^{2}+x}-x}+2 x \,{\mathrm e}^{\frac{\left(x -5\right) {\mathrm e}^{4}}{-x^{3}+x^{2}+x}-x}-x -x^{2}-x^{3} {\mathrm e}^{\frac{\left(x -5\right) {\mathrm e}^{4}}{-x^{3}+x^{2}+x}-x}\right) {\mathrm e}^{-\frac{\left(x -5\right) {\mathrm e}^{4}}{-x^{3}+x^{2}+x}+x}}{x^{2}-x -1}$&$126$\\ \hline \end{longtable}"," ",0,"-x+x*exp((x^4-x^3+x*exp(4)-x^2-5*exp(4))/(x^2-x-1)/x)","A"
586,1,30,23,2.700000," ","int((3*x^2*exp(exp(exp(4)))^8+(-exp(3)^2-2*x*exp(3)-x^2)*exp(exp(exp(4)))^4)*exp((x*exp(3)+x^2)*exp(exp(exp(4)))^4/(3*x*exp(exp(exp(4)))^4-exp(3)-x))/(9*x^2*exp(exp(exp(4)))^8+(-6*x*exp(3)-6*x^2)*exp(exp(exp(4)))^4+exp(3)^2+2*x*exp(3)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x \left({\mathrm e}^{3}+x \right) {\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}^{4}}}}{-3 x \,{\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}^{4}}}+{\mathrm e}^{3}+x}}$&$30$\\ norman&$\frac{{\mathrm e}^{3} {\mathrm e}^{\frac{\left(x \,{\mathrm e}^{3}+x^{2}\right) {\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}^{4}}}}{3 x \,{\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}^{4}}}-{\mathrm e}^{3}-x}}+\left(1-3 \,{\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}^{4}}}\right) x \,{\mathrm e}^{\frac{\left(x \,{\mathrm e}^{3}+x^{2}\right) {\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}^{4}}}}{3 x \,{\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}^{4}}}-{\mathrm e}^{3}-x}}}{-3 x \,{\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}^{4}}}+{\mathrm e}^{3}+x}$&$103$\\ gosper&\verb|error in isolve/isolve: invalid subscript selector\|& N/A\\ \hline \end{longtable}"," ",0,"exp(-x*(exp(3)+x)*exp(4*exp(exp(4)))/(-3*x*exp(4*exp(exp(4)))+exp(3)+x))","A"
587,1,22,24,0.384000," ","int((3*ln(3)^2+(-6*x-6)*ln(3)-2*exp(3)+3*x^2+6*x+1)/(ln(3)^2+(-2*x-2)*ln(3)+x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x -\frac{-2-2 \,{\mathrm e}^{3}}{1+x -\ln \left(3\right)}$&$22$\\ risch&$3 x -\frac{2}{\ln \left(3\right)-x -1}-\frac{2 \,{\mathrm e}^{3}}{\ln \left(3\right)-x -1}$&$29$\\ norman&$\frac{-3 x^{2}+1+3 \ln \left(3\right)^{2}-2 \,{\mathrm e}^{3}-6 \ln \left(3\right)}{\ln \left(3\right)-x -1}$&$32$\\ gosper&$-\frac{3 x^{2}-1-3 \ln \left(3\right)^{2}+2 \,{\mathrm e}^{3}+6 \ln \left(3\right)}{\ln \left(3\right)-x -1}$&$33$\\ meijerg&$\left(-6 \ln \left(3\right)+6\right) \left(\frac{x}{\left(\ln \left(3\right)-1\right) \left(1-\frac{x}{\ln \left(3\right)-1}\right)}+\ln \left(1-\frac{x}{\ln \left(3\right)-1}\right)\right)+\frac{3 \left(\ln \left(3\right)-1\right)^{2} \left(-\frac{x \left(-\frac{3 x}{\ln \left(3\right)-1}+6\right)}{3 \left(\ln \left(3\right)-1\right) \left(1-\frac{x}{\ln \left(3\right)-1}\right)}-2 \ln \left(1-\frac{x}{\ln \left(3\right)-1}\right)\right)}{1-\ln \left(3\right)}-\frac{3 \ln \left(3\right)^{2} x}{\left(1-\ln \left(3\right)\right) \left(\ln \left(3\right)-1\right) \left(1-\frac{x}{\ln \left(3\right)-1}\right)}+\frac{2 \,{\mathrm e}^{3} x}{\left(1-\ln \left(3\right)\right) \left(\ln \left(3\right)-1\right) \left(1-\frac{x}{\ln \left(3\right)-1}\right)}+\frac{6 \ln \left(3\right) x}{\left(1-\ln \left(3\right)\right) \left(\ln \left(3\right)-1\right) \left(1-\frac{x}{\ln \left(3\right)-1}\right)}-\frac{x}{\left(1-\ln \left(3\right)\right) \left(\ln \left(3\right)-1\right) \left(1-\frac{x}{\ln \left(3\right)-1}\right)}$&$235$\\ \hline \end{longtable}"," ",0,"3*x-(-2-2*exp(3))/(1+x-ln(3))","A"
588,1,47,29,0.180000," ","int(((72*x^4-288*x^3)*ln(-x+4)*ln(ln(-x+4))^2+((-48*x^4+192*x^3)*exp(5)*ln(-x+4)+72*x^4)*ln(ln(-x+4))+((8*x^4-32*x^3)*exp(5)^2+27*x^3-108*x^2-108*x+432)*ln(-x+4)-24*x^4*exp(5))/((36*x^5-144*x^4)*ln(-x+4)*ln(ln(-x+4))^2+(-24*x^5+96*x^4)*exp(5)*ln(-x+4)*ln(ln(-x+4))+((4*x^5-16*x^4)*exp(5)^2+27*x^4-108*x^3+108*x^2-432*x)*ln(-x+4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right)+\ln \left(\ln \left(\ln \left(-x +4\right)\right)^{2}-\frac{2 \,{\mathrm e}^{5} \ln \left(\ln \left(-x +4\right)\right)}{3}+\frac{4 x^{3} {\mathrm e}^{10}+27 x^{2}+108}{36 x^{3}}\right)$&$47$\\ \hline \end{longtable}"," ",0,"2*ln(x)+ln(ln(ln(-x+4))^2-2/3*exp(5)*ln(ln(-x+4))+1/36*(4*x^3*exp(10)+27*x^2+108)/x^3)","A"
589,1,21,22,0.064000," ","int((-2*ln(16/9*x^2)-6*x^2-8*x-4)/(x^2*ln(16/9*x^2)^2+(2*x^4+4*x^3)*ln(16/9*x^2)+x^6+4*x^5+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2}{x \left(x^{2}+\ln \left(\frac{16 x^{2}}{9}\right)+2 x \right)}$&$21$\\ risch&$\frac{2}{x \left(x^{2}+\ln \left(\frac{16 x^{2}}{9}\right)+2 x \right)}$&$21$\\ \hline \end{longtable}"," ",0,"2/x/(x^2+ln(16/9*x^2)+2*x)","A"
590,1,16,19,0.084000," ","int((-exp(x)*exp(exp(x)-3*ln(5)+14)+ln(2)*ln(3))*exp(-exp(exp(x)-3*ln(5)+14)+x*ln(2)*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2^{x \ln \left(3\right)} {\mathrm e}^{-\frac{{\mathrm e}^{{\mathrm e}^{x}+14}}{125}}$&$16$\\ derivativedivides&${\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x}-3 \ln \left(5\right)+14}+x \ln \left(2\right) \ln \left(3\right)}$&$20$\\ default&${\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x}-3 \ln \left(5\right)+14}+x \ln \left(2\right) \ln \left(3\right)}$&$20$\\ norman&${\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x}-3 \ln \left(5\right)+14}+x \ln \left(2\right) \ln \left(3\right)}$&$20$\\ \hline \end{longtable}"," ",0,"2^(x*ln(3))*exp(-1/125*exp(exp(x)+14))","A"
591,0,0,19,0.057000," ","int((-32*exp(1)*ln(ln(x^4+4*x^3+6*x^2+4*x+1))+(3*x+3)*exp(1)*ln(x^4+4*x^3+6*x^2+4*x+1))*exp(-4/3*ln(ln(x^4+4*x^3+6*x^2+4*x+1))^2+x)/(3*x+3)/ln(x^4+4*x^3+6*x^2+4*x+1),x)","\[\int \frac{\left(-32 \,{\mathrm e} \ln \left(\ln \left(x^{4}+4 x^{3}+6 x^{2}+4 x +1\right)\right)+\left(3 x +3\right) {\mathrm e} \ln \left(x^{4}+4 x^{3}+6 x^{2}+4 x +1\right)\right) {\mathrm e}^{-\frac{4 \ln \left(\ln \left(x^{4}+4 x^{3}+6 x^{2}+4 x +1\right)\right)^{2}}{3}+x}}{\left(3 x +3\right) \ln \left(x^{4}+4 x^{3}+6 x^{2}+4 x +1\right)}\, dx\]"," ",0,"int((-32*exp(1)*ln(ln(x^4+4*x^3+6*x^2+4*x+1))+(3*x+3)*exp(1)*ln(x^4+4*x^3+6*x^2+4*x+1))*exp(-4/3*ln(ln(x^4+4*x^3+6*x^2+4*x+1))^2+x)/(3*x+3)/ln(x^4+4*x^3+6*x^2+4*x+1),x)","F"
592,1,48,34,0.188000," ","int(((50*x^3+50*x^2)*exp(-exp(3)+3-x)^2+(-50*x^4-50*x^3+50*x^2+150*x)*exp(-exp(3)+3-x)-100*x^2+100)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{50 x^{2}-25}{x^{4}}-\frac{25 \,{\mathrm e}^{-2 \,{\mathrm e}^{3}+6-2 x}}{x^{2}}+\frac{50 \left(x^{2}-1\right) {\mathrm e}^{-{\mathrm e}^{3}+3-x}}{x^{3}}$&$48$\\ norman&$\frac{-25+50 x^{2}-50 \,{\mathrm e}^{-{\mathrm e}^{3}+3-x} x +50 \,{\mathrm e}^{-{\mathrm e}^{3}+3-x} x^{3}-25 \,{\mathrm e}^{-2 \,{\mathrm e}^{3}+6-2 x} x^{2}}{x^{4}}$&$57$\\ derivativedivides&$\text{Expression too large to display}$&$3528$\\ default&$\text{Expression too large to display}$&$3528$\\ \hline \end{longtable}"," ",0,"(50*x^2-25)/x^4-25*exp(-2*exp(3)+6-2*x)/x^2+50*(x^2-1)/x^3*exp(-exp(3)+3-x)","A"
593,1,24,18,0.296000," ","int(1/4*(-exp(4)+12*x^4-4*x^2)*exp(1/4*((x+1)*exp(4)+4*x^4-4*x^2)/x)*exp(exp(1/4*((x+1)*exp(4)+4*x^4-4*x^2)/x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{\left(x +1\right) \left(4 x^{3}-4 x^{2}+{\mathrm e}^{4}\right)}{4 x}}}$&$24$\\ norman&${\mathrm e}^{{\mathrm e}^{\frac{\left(x +1\right) {\mathrm e}^{4}+4 x^{4}-4 x^{2}}{4 x}}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(exp(1/4*(x+1)*(4*x^3-4*x^2+exp(4))/x))","A"
594,1,17,16,0.105000," ","int((2*x*ln(3*x)*ln(1/4*ln(3*x))-6*x*ln(3*x)-x)/(5*ln(3*x)*ln(1/4*ln(3*x))^2-30*ln(3*x)*ln(1/4*ln(3*x))+45*ln(3*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}}{5 \ln \left(\frac{\ln \left(3 x \right)}{4}\right)-15}$&$17$\\ risch&$\frac{x^{2}}{5 \ln \left(\frac{\ln \left(3 x \right)}{4}\right)-15}$&$17$\\ \hline \end{longtable}"," ",0,"1/5*x^2/(ln(1/4*ln(3*x))-3)","A"
595,1,58,23,0.861000," ","int(((-12*x^10-330*x^9-4050*x^8-29160*x^7-136080*x^6-428652*x^5-918540*x^4-1312200*x^3-1186164*x^2-629370*x-125874)*exp(x)^2-18*x^9-486*x^8-5832*x^7-40824*x^6-183708*x^5-551124*x^4-1102248*x^3-1417176*x^2-1132866*x-377622)*exp((6*x^8+144*x^7+1512*x^6+9072*x^5+34020*x^4+81648*x^3+122472*x^2+104976*x+41958)/((x^9+24*x^8+252*x^7+1512*x^6+5670*x^5+13608*x^4+20412*x^3+17496*x^2+6561*x)*exp(x)^2+3*x^9+72*x^8+756*x^7+4536*x^6+17010*x^5+40824*x^4+61236*x^3+52488*x^2+19683*x))/((x^11+27*x^10+324*x^9+2268*x^8+10206*x^7+30618*x^6+61236*x^5+78732*x^4+59049*x^3+19683*x^2)*exp(x)^4+(6*x^11+162*x^10+1944*x^9+13608*x^8+61236*x^7+183708*x^6+367416*x^5+472392*x^4+354294*x^3+118098*x^2)*exp(x)^2+9*x^11+243*x^10+2916*x^9+20412*x^8+91854*x^7+275562*x^6+551124*x^5+708588*x^4+531441*x^3+177147*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{6 x^{8}+144 x^{7}+1512 x^{6}+9072 x^{5}+34020 x^{4}+81648 x^{3}+122472 x^{2}+104976 x +41958}{x \left(3+x \right)^{8} \left({\mathrm e}^{2 x}+3\right)}}$&$58$\\ \hline \end{longtable}"," ",0,"exp(6*(x^8+24*x^7+252*x^6+1512*x^5+5670*x^4+13608*x^3+20412*x^2+17496*x+6993)/x/(3+x)^8/(exp(2*x)+3))","B"
596,1,28,18,0.441000," ","int(((-3*x^2-12*x)*ln(4+x)*ln(3/5/x^3/ln(4+x))+(9*x^2+33*x-12)*ln(4+x)+3*x^2-x)/(x^2+4*x)/ln(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-3 x \ln \left(\frac{3}{5 x^{3} \ln \left(4+x \right)}\right)-3 \ln \left(x \right)-\ln \left(\ln \left(4+x \right)\right)$&$28$\\ default&$-\ln \left(\ln \left(4+x \right)\right)-3 \ln \left(x \right)-3 x \ln \left(3\right)+3 x \ln \left(5\right)-3 \ln \left(\frac{1}{x^{3} \ln \left(4+x \right)}\right) x -36$&$38$\\ risch&$3 x \ln \left(\ln \left(4+x \right)\right)+9 x \ln \left(x \right)-\frac{3 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{3}}\right) \mathrm{csgn}\left(\frac{i}{x^{3} \ln \left(4+x \right)}\right)^{2}}{2}-\frac{3 i \pi  x \,\mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i}{x^{3} \ln \left(4+x \right)}\right)^{2}}{2}-\frac{3 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}-\frac{3 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)}{2}+\frac{3 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{3}}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i}{x^{3} \ln \left(4+x \right)}\right)}{2}+\frac{3 i \pi  x \mathrm{csgn}\left(\frac{i}{x^{3} \ln \left(4+x \right)}\right)^{3}}{2}-\frac{3 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+3 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\frac{3 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}}{2}-\frac{3 i \pi  x \mathrm{csgn}\left(i x^{3}\right)^{3}}{2}+\frac{3 i \pi  x \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}}{2}+3 x \ln \left(5\right)-3 x \ln \left(3\right)-3 \ln \left(x \right)-\ln \left(\ln \left(4+x \right)\right)$&$278$\\ \hline \end{longtable}"," ",0,"-3*x*ln(3/5/x^3/ln(4+x))-3*ln(x)-ln(ln(4+x))","A"
597,1,21,19,0.024000," ","int((4*ln(-x^2/ln(5))+6*x+4)/(x*ln(-x^2/ln(5))+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 \ln \left(x \right)+2 \ln \left(\ln \left(-\frac{x^{2}}{\ln \left(5\right)}\right)+x \right)$&$21$\\ risch&$4 \ln \left(x \right)+2 \ln \left(\ln \left(-\frac{x^{2}}{\ln \left(5\right)}\right)+x \right)$&$21$\\ \hline \end{longtable}"," ",0,"4*ln(x)+2*ln(ln(-x^2/ln(5))+x)","A"
598,1,21,20,0.234000," ","int((((10*x+20)*ln(x/(2+x))-20)*exp(5*x/ln(x/(2+x)))+(6*x+12)*ln(x/(2+x))^2)/(2+x)/ln(x/(2+x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \,{\mathrm e}^{\frac{5 x}{\ln \left(\frac{x}{2+x}\right)}}+6 x$&$21$\\ risch&$2 \,{\mathrm e}^{\frac{5 x}{\ln \left(\frac{x}{2+x}\right)}}+6 x$&$21$\\ norman&$\frac{6 \ln \left(\frac{x}{2+x}\right) x +2 \ln \left(\frac{x}{2+x}\right) {\mathrm e}^{\frac{5 x}{\ln \left(\frac{x}{2+x}\right)}}}{\ln \left(\frac{x}{2+x}\right)}$&$48$\\ \hline \end{longtable}"," ",0,"2*exp(5*x/ln(x/(2+x)))+6*x","A"
599,1,35,29,0.347000," ","int(((24*x^4-96*x^3+72*x^2)*exp(3)^2+(-3*x^2+3)*exp(3))/((16*x^6-192*x^5+864*x^4-1728*x^3+1296*x^2)*exp(3)^2+(8*x^3-48*x^2+72*x)*exp(3)+1)/exp((x^3-3*x)*exp(3)/((4*x^3-24*x^2+36*x)*exp(3)+1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-\frac{\left(x^{3}-3 x \right) {\mathrm e}^{3}}{\left(4 x^{3}-24 x^{2}+36 x \right) {\mathrm e}^{3}+1}}$&$35$\\ risch&${\mathrm e}^{-\frac{x \left(x^{2}-3\right) {\mathrm e}^{3}}{4 x^{3} {\mathrm e}^{3}-24 x^{2} {\mathrm e}^{3}+36 x \,{\mathrm e}^{3}+1}}$&$35$\\ gosper&${\mathrm e}^{-\frac{x \left(x^{2}-3\right) {\mathrm e}^{3}}{4 x^{3} {\mathrm e}^{3}-24 x^{2} {\mathrm e}^{3}+36 x \,{\mathrm e}^{3}+1}}$&$36$\\ \hline \end{longtable}"," ",0,"1/exp((x^3-3*x)*exp(3)/((4*x^3-24*x^2+36*x)*exp(3)+1))","A"
600,1,27,20,0.166000," ","int(((16*x^2*ln(x)+32*x)*ln(2*x*ln(x)+4)+(-8*exp(1)+8*x^2)*ln(x)-8*exp(1)+8*x^2)/(3*x*ln(x)+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{8 \,{\mathrm e} \ln \left(2 x \ln \left(x \right)+4\right)}{3}+\frac{8 x^{2} \ln \left(2 x \ln \left(x \right)+4\right)}{3}$&$27$\\ risch&$\frac{8 x^{2} \ln \left(2 x \ln \left(x \right)+4\right)}{3}-\frac{8 \,{\mathrm e} \ln \left(x \right)}{3}-\frac{8 \,{\mathrm e} \ln \left(\frac{2}{x}+\ln \left(x \right)\right)}{3}$&$34$\\ \hline \end{longtable}"," ",0,"-8/3*exp(1)*ln(2*x*ln(x)+4)+8/3*x^2*ln(2*x*ln(x)+4)","A"
601,1,578,23,0.446000," ","int((((-2*x^2-3*x)*ln(x)^2+(-2*x-1)*ln(x)+2)*exp(ln((x*ln(x)+1)/ln(x))+5+x)+(3*x^2+3*x)*ln(x)^2+(3*x+3)*ln(x))*exp(1/(x*exp(ln((x*ln(x)+1)/ln(x))+5+x)^2+(-2*x^2-6*x)*exp(ln((x*ln(x)+1)/ln(x))+5+x)+x^3+6*x^2+9*x))/((x^3*ln(x)^2+x^2*ln(x))*exp(ln((x*ln(x)+1)/ln(x))+5+x)^3+((-3*x^4-9*x^3)*ln(x)^2+(-3*x^3-9*x^2)*ln(x))*exp(ln((x*ln(x)+1)/ln(x))+5+x)^2+((3*x^5+18*x^4+27*x^3)*ln(x)^2+(3*x^4+18*x^3+27*x^2)*ln(x))*exp(ln((x*ln(x)+1)/ln(x))+5+x)+(-x^6-9*x^5-27*x^4-27*x^3)*ln(x)^2+(-x^5-9*x^4-27*x^3-27*x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\ln \left(x \right)^{2}}{x \left(-2 \ln \left(x \right)^{2} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)^{3}}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i \left(x \ln \left(x \right)+1\right)\right)}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(x \ln \left(x \right)+1\right)\right)}{2}} {\mathrm e}^{5+x} x^{2}-6 \ln \left(x \right)^{2} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)^{3}}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i \left(x \ln \left(x \right)+1\right)\right)}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(x \ln \left(x \right)+1\right)\right)}{2}} {\mathrm e}^{5+x} x -2 \ln \left(x \right) {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)^{3}}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i \left(x \ln \left(x \right)+1\right)\right)}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(x \ln \left(x \right)+1\right)\right)}{2}} {\mathrm e}^{5+x} x -6 \,{\mathrm e}^{5+x} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)^{3}}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i \left(x \ln \left(x \right)+1\right)\right)}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)+1\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(x \ln \left(x \right)+1\right)\right)}{2}} \ln \left(x \right)+\ln \left(x \right)^{2} {\mathrm e}^{2 x +10} x^{2}+x^{2} \ln \left(x \right)^{2}+6 x \ln \left(x \right)^{2}+2 \ln \left(x \right) {\mathrm e}^{2 x +10} x +9 \ln \left(x \right)^{2}+{\mathrm e}^{2 x +10}\right)}}$&$578$\\ \hline \end{longtable}"," ",0,"exp(ln(x)^2/x/(-2*ln(x)^2*exp(-1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))^3)*exp(1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))^2*csgn(I/ln(x)))*exp(1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))^2*csgn(I*(x*ln(x)+1)))*exp(-1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))*csgn(I/ln(x))*csgn(I*(x*ln(x)+1)))*exp(5+x)*x^2-6*ln(x)^2*exp(-1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))^3)*exp(1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))^2*csgn(I/ln(x)))*exp(1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))^2*csgn(I*(x*ln(x)+1)))*exp(-1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))*csgn(I/ln(x))*csgn(I*(x*ln(x)+1)))*exp(5+x)*x-2*ln(x)*exp(-1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))^3)*exp(1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))^2*csgn(I/ln(x)))*exp(1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))^2*csgn(I*(x*ln(x)+1)))*exp(-1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))*csgn(I/ln(x))*csgn(I*(x*ln(x)+1)))*exp(5+x)*x-6*exp(5+x)*exp(-1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))^3)*exp(1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))^2*csgn(I/ln(x)))*exp(1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))^2*csgn(I*(x*ln(x)+1)))*exp(-1/2*I*Pi*csgn(I/ln(x)*(x*ln(x)+1))*csgn(I/ln(x))*csgn(I*(x*ln(x)+1)))*ln(x)+ln(x)^2*exp(2*x+10)*x^2+x^2*ln(x)^2+6*x*ln(x)^2+2*ln(x)*exp(2*x+10)*x+9*ln(x)^2+exp(2*x+10)))","C"
602,1,28,13,0.278000," ","int(((5*x^2-289*x)*ln((5*x-289)/x)*ln(ln((5*x-289)/x))+289*x+4335)/(5*x^2-289*x)/ln((5*x-289)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\ln \left(\frac{5 x -289}{x}\right)\right)+15 \ln \left(\ln \left(\frac{5 x -289}{x}\right)\right)$&$28$\\ \hline \end{longtable}"," ",0,"x*ln(ln((5*x-289)/x))+15*ln(ln((5*x-289)/x))","B"
603,1,24,32,0.096000," ","int((((15-5*x)*exp(x)+1620*x^2-7020*x+6485)*exp(81*x^2-216*x+144)^2+(3-x)*exp(x)+1)/((5*x-15)*exp(81*x^2-216*x+144)^2+x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x -3\right)-{\mathrm e}^{x}-288+\ln \left({\mathrm e}^{18 \left(3 x -4\right)^{2}}+\frac{1}{5}\right)$&$24$\\ norman&$-{\mathrm e}^{x}+\ln \left(x -3\right)+\ln \left(5 \,{\mathrm e}^{162 x^{2}-432 x +288}+1\right)$&$28$\\ \hline \end{longtable}"," ",0,"ln(x-3)-exp(x)-288+ln(exp(18*(3*x-4)^2)+1/5)","A"
604,1,78,29,0.866000," ","int((((exp(5/3)*ln(5/x)*ln(x^2)-2*exp(5/3)*ln(5/x))*exp((-ln(x^2)+x)/x)+x*ln(5/x))*ln(ln(5/x))+x*exp(5/3)*exp((-ln(x^2)+x)/x)+x*ln(x))/x^2/ln(5/x)/ln(ln(5/x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{-3 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+6 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-3 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+12 \ln \left(x \right)-16 x}{6 x}}+\ln \left(x \right)}{\ln \left(\ln \left(5\right)-\ln \left(x \right)\right)}$&$78$\\ \hline \end{longtable}"," ",0,"(exp(-1/6*(-3*I*Pi*csgn(I*x^2)^3+6*I*Pi*csgn(I*x^2)^2*csgn(I*x)-3*I*Pi*csgn(I*x^2)*csgn(I*x)^2+12*ln(x)-16*x)/x)+ln(x))/ln(ln(5)-ln(x))","C"
605,1,299,19,6.738000," ","int(1/2*((8*x^4+1)*ln(x)*ln(4*x*ln(x))^2+10*ln(x)+10)*exp(1/2*((ln(x)+2*x^4)*ln(4*x*ln(x))-10)/ln(4*x*ln(x)))/x/ln(x)/ln(4*x*ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-2 i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3} x^{4}+2 i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \right) x^{4}+2 i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) x^{4}-2 i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) x^{4}-i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3} \ln \left(x \right)+i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \right) \ln \left(x \right)+i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \ln \left(x \right)-i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \ln \left(x \right)+8 x^{4} \ln \left(2\right)+4 \ln \left(\ln \left(x \right)\right) x^{4}+4 x^{4} \ln \left(x \right)+4 \ln \left(2\right) \ln \left(x \right)+2 \ln \left(x \right) \ln \left(\ln \left(x \right)\right)+2 \ln \left(x \right)^{2}-20}{-2 i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}+2 i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \right)+2 i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)-2 i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)+8 \ln \left(2\right)+4 \ln \left(\ln \left(x \right)\right)+4 \ln \left(x \right)}}$&$299$\\ \hline \end{longtable}"," ",0,"exp(1/2*(-2*I*Pi*csgn(I*x*ln(x))^3*x^4+2*I*Pi*csgn(I*x*ln(x))^2*csgn(I*x)*x^4+2*I*Pi*csgn(I*x*ln(x))^2*csgn(I*ln(x))*x^4-2*I*Pi*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x))*x^4-I*Pi*csgn(I*x*ln(x))^3*ln(x)+I*Pi*csgn(I*x*ln(x))^2*csgn(I*x)*ln(x)+I*Pi*csgn(I*x*ln(x))^2*csgn(I*ln(x))*ln(x)-I*Pi*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x))*ln(x)+8*x^4*ln(2)+4*ln(ln(x))*x^4+4*x^4*ln(x)+4*ln(2)*ln(x)+2*ln(x)*ln(ln(x))+2*ln(x)^2-20)/(-I*Pi*csgn(I*x*ln(x))^3+I*Pi*csgn(I*x*ln(x))^2*csgn(I*x)+I*Pi*csgn(I*x*ln(x))^2*csgn(I*ln(x))-I*Pi*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x))+4*ln(2)+2*ln(ln(x))+2*ln(x)))","C"
606,1,26,23,0.090000," ","int((((x^3+3*x^2)*ln(2*x)+x^3+5*x^2+6*x)*exp(x*ln(2*x))*exp(x^2*exp(x*ln(2*x))-2)-x-4)/((3+x)*exp(x^2*exp(x*ln(2*x))-2)+(-3-x)*ln(3+x)-x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2+\ln \left(-x +{\mathrm e}^{x^{2} \left(2 x \right)^{x}-2}-\ln \left(3+x \right)\right)$&$26$\\ \hline \end{longtable}"," ",0,"2+ln(-x+exp(x^2*(2*x)^x-2)-ln(3+x))","A"
607,1,4,5,0.012000," ","int(1/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\ln \left(x \right)\right)$&$4$\\ default&$\ln \left(\ln \left(x \right)\right)$&$4$\\ norman&$\ln \left(\ln \left(x \right)\right)$&$4$\\ risch&$\ln \left(\ln \left(x \right)\right)$&$4$\\ \hline \end{longtable}"," ",0,"ln(ln(x))","A"
608,1,18,28,0.127000," ","int(((5*x^4+90*x^2+405)*exp(x)+5*x^4+65*x^2-172*x+630)/(5*x^4+90*x^2+405),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{5 x +\frac{86}{5}}{x^{2}+9}+{\mathrm e}^{x}$&$18$\\ default&$\frac{5 x}{x^{2}+9}+\frac{86}{5 \left(x^{2}+9\right)}+x +{\mathrm e}^{x}$&$24$\\ norman&$\frac{x^{3}+{\mathrm e}^{x} x^{2}+14 x +9 \,{\mathrm e}^{x}+\frac{86}{5}}{x^{2}+9}$&$27$\\ \hline \end{longtable}"," ",0,"x+(5*x+86/5)/(x^2+9)+exp(x)","A"
609,1,19,18,0.172000," ","int(4*ln(3)*exp((2*exp((exp(4)-x+1)*ln(3))+4)/exp((exp(4)-x+1)*ln(3)))/exp((exp(4)-x+1)*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{4 \,{\mathrm e}^{-\left({\mathrm e}^{4}-x +1\right) \ln \left(3\right)}+2}$&$19$\\ default&${\mathrm e}^{4 \,{\mathrm e}^{-\left({\mathrm e}^{4}-x +1\right) \ln \left(3\right)}+2}$&$19$\\ risch&${\mathrm e}^{\frac{2 \left(3^{{\mathrm e}^{4}-x +1}+2\right) 3^{x -{\mathrm e}^{4}}}{3}}$&$26$\\ norman&${\mathrm e}^{\left(2 \,{\mathrm e}^{\left({\mathrm e}^{4}-x +1\right) \ln \left(3\right)}+4\right) {\mathrm e}^{-\left({\mathrm e}^{4}-x +1\right) \ln \left(3\right)}}$&$31$\\ \hline \end{longtable}"," ",0,"exp(4/exp((exp(4)-x+1)*ln(3))+2)","A"
610,1,20,20,0.304000," ","int(((-x^2+3*x)*exp(x)-2*x^3+7*x^2+x-9)/(x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x -3\right)+3 \ln \left(x \right)+x -x^{2}-{\mathrm e}^{x}$&$20$\\ norman&$\ln \left(x -3\right)+3 \ln \left(x \right)+x -x^{2}-{\mathrm e}^{x}$&$20$\\ risch&$\ln \left(x -3\right)+3 \ln \left(x \right)+x -x^{2}-{\mathrm e}^{x}$&$20$\\ \hline \end{longtable}"," ",0,"ln(x-3)+3*ln(x)+x-x^2-exp(x)","A"
611,1,26,30,0.082000," ","int((((-5*x^2*exp(x-5)+10*x^2)*ln(x)+(5*x^2+10*x)*exp(x-5)-10*x^2-20*x)*ln(-exp(x-5)+2)+((5*x^3+10*x^2+20*x+20)*exp(x-5)-40*x-40)*ln(x)+(-10*x-20)*exp(x-5)+20*x+40)/((x^2*exp(x-5)-2*x^2)*ln(x)^2*ln(-exp(x-5)+2)^2+(-4*x*exp(x-5)+8*x)*ln(x)^2*ln(-exp(x-5)+2)+(4*exp(x-5)-8)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 x \left(2+x \right)}{\ln \left(x \right) \left(x \ln \left(-{\mathrm e}^{x -5}+2\right)-2\right)}$&$26$\\ \hline \end{longtable}"," ",0,"-5*x*(2+x)/ln(x)/(x*ln(-exp(x-5)+2)-2)","A"
612,1,35,33,0.342000," ","int((-2*x^3*exp(4)^2*exp((-exp(x)*x+3*x+2)/x)^2+(-10*x^2*exp(4)*exp(x)+(10*x-20)*exp(4))*exp((-exp(x)*x+3*x+2)/x))/(x^5*exp(4)^2*exp((-exp(x)*x+3*x+2)/x)^2+10*x^3*exp(4)*exp((-exp(x)*x+3*x+2)/x)+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{x}-\frac{10}{x \left({\mathrm e}^{-\frac{{\mathrm e}^{x} x -7 x -2}{x}} x^{2}+5\right)}$&$35$\\ \hline \end{longtable}"," ",0,"2/x-10/x/(exp(-(exp(x)*x-7*x-2)/x)*x^2+5)","A"
613,1,12,12,0.023000," ","int((exp(5)+x^2-3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\frac{{\mathrm e}^{5}-3}{x}$&$12$\\ norman&$\frac{x^{2}+3-{\mathrm e}^{5}}{x}$&$14$\\ gosper&$-\frac{-x^{2}+{\mathrm e}^{5}-3}{x}$&$15$\\ risch&$\frac{3}{x}-\frac{{\mathrm e}^{5}}{x}+x$&$15$\\ \hline \end{longtable}"," ",0,"x-(exp(5)-3)/x","A"
614,1,18,23,0.088000," ","int((x^2*ln(ln(2))^2+(2*x^3*exp(3)-15)*ln(ln(2))+x^4*exp(3)^2-30*x*exp(3))/(x^2*ln(ln(2))^2+2*x^3*exp(3)*ln(ln(2))+x^4*exp(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{15}{x \left(x \,{\mathrm e}^{3}+\ln \left(\ln \left(2\right)\right)\right)}$&$18$\\ norman&$\frac{15+x^{3} {\mathrm e}^{3}+x^{2} \ln \left(\ln \left(2\right)\right)}{x \left(x \,{\mathrm e}^{3}+\ln \left(\ln \left(2\right)\right)\right)}$&$30$\\ gosper&$\frac{\left(x^{3} {\mathrm e}^{6}-x \ln \left(\ln \left(2\right)\right)^{2}+15 \,{\mathrm e}^{3}\right) {\mathrm e}^{-3}}{x \left(x \,{\mathrm e}^{3}+\ln \left(\ln \left(2\right)\right)\right)}$&$40$\\ \hline \end{longtable}"," ",0,"x+15/x/(x*exp(3)+ln(ln(2)))","A"
615,1,29,24,0.028000," ","int(((10*x+6)*exp(4)-3*x^2-12*x-6)/(6*exp(4)-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(5 x \,{\mathrm e}^{4}-x^{2}+6 \,{\mathrm e}^{4}-6 x -6\right)}{6 \,{\mathrm e}^{4}-6}$&$29$\\ norman&$x -\frac{x^{3}}{6 \left({\mathrm e}^{4}-1\right)}+\frac{\left(5 \,{\mathrm e}^{4}-6\right) x^{2}}{6 \,{\mathrm e}^{4}-6}$&$31$\\ default&$\frac{{\mathrm e}^{4} \left(5 x^{2}+6 x \right)-x^{3}-6 x^{2}-6 x}{6 \,{\mathrm e}^{4}-6}$&$36$\\ risch&$\frac{5 x^{2} {\mathrm e}^{4}}{6 \,{\mathrm e}^{4}-6}-\frac{x^{3}}{6 \,{\mathrm e}^{4}-6}+\frac{6 x \,{\mathrm e}^{4}}{6 \,{\mathrm e}^{4}-6}-\frac{6 x^{2}}{6 \,{\mathrm e}^{4}-6}-\frac{6 x}{6 \,{\mathrm e}^{4}-6}$&$67$\\ \hline \end{longtable}"," ",0,"1/6*x*(5*x*exp(4)-x^2+6*exp(4)-6*x-6)/(exp(4)-1)","A"
616,1,184,25,67.792000," ","int(((((x+1)*exp(x)-1)*ln(x)*ln(((-x-1)*exp(x)+1)/exp(x))+(-exp(x)*x-x)*ln(x))*ln(3/ln(x))+((x+1)*exp(x)-1)*ln(((-x-1)*exp(x)+1)/exp(x)))/((x+1)*exp(x)-1)/ln(x)/ln(((-x-1)*exp(x)+1)/exp(x))^2/ln(3/ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x}{\left(2 i \ln \left(3\right)-2 i \ln \left(\ln \left(x \right)\right)\right) \left(\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x} x +{\mathrm e}^{x}-1\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x +{\mathrm e}^{x}-1\right)\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x +{\mathrm e}^{x}-1\right)\right)^{2}+2 \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x +{\mathrm e}^{x}-1\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x} x +{\mathrm e}^{x}-1\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x +{\mathrm e}^{x}-1\right)\right)^{2}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x +{\mathrm e}^{x}-1\right)\right)^{3}-2 \pi +2 i \ln \left({\mathrm e}^{x} x +{\mathrm e}^{x}-1\right)-2 i \ln \left({\mathrm e}^{x}\right)\right)}$&$184$\\ \hline \end{longtable}"," ",0,"-4*x/(2*I*ln(3)-2*I*ln(ln(x)))/(Pi*csgn(I*exp(-x))*csgn(I*(exp(x)*x+exp(x)-1))*csgn(I*exp(-x)*(exp(x)*x+exp(x)-1))-Pi*csgn(I*exp(-x))*csgn(I*exp(-x)*(exp(x)*x+exp(x)-1))^2+2*Pi*csgn(I*exp(-x)*(exp(x)*x+exp(x)-1))^2-Pi*csgn(I*(exp(x)*x+exp(x)-1))*csgn(I*exp(-x)*(exp(x)*x+exp(x)-1))^2-Pi*csgn(I*exp(-x)*(exp(x)*x+exp(x)-1))^3-2*Pi+2*I*ln(exp(x)*x+exp(x)-1)-2*I*ln(exp(x)))","C"
617,0,0,28,0.056000," ","int((((x*exp(3)-x^2)*ln((x-exp(3))/x)+2*x*exp(3)-2*x^2)*ln(4*ln((x-exp(3))/x)+8)^2+(((-2*x^2-2*x)*exp(3)+2*x^3+2*x^2)*ln((x-exp(3))/x)+(-4*x^2-4*x)*exp(3)+4*x^3+4*x^2)*ln(4*ln((x-exp(3))/x)+8)+((x^3+2*x^2+6*x)*exp(3)-x^4-2*x^3-6*x^2)*ln((x-exp(3))/x)+(2*x^3+4*x^2+12*x+5)*exp(3)-2*x^4-4*x^3-12*x^2)/(((x*exp(3)-x^2)*ln((x-exp(3))/x)+2*x*exp(3)-2*x^2)*ln(4*ln((x-exp(3))/x)+8)^2+(((-2*x^2-2*x)*exp(3)+2*x^3+2*x^2)*ln((x-exp(3))/x)+(-4*x^2-4*x)*exp(3)+4*x^3+4*x^2)*ln(4*ln((x-exp(3))/x)+8)+((x^3+2*x^2+x)*exp(3)-x^4-2*x^3-x^2)*ln((x-exp(3))/x)+(2*x^3+4*x^2+2*x)*exp(3)-2*x^4-4*x^3-2*x^2),x)","\[\int \frac{\left(\left(x \,{\mathrm e}^{3}-x^{2}\right) \ln \left(\frac{x -{\mathrm e}^{3}}{x}\right)+2 x \,{\mathrm e}^{3}-2 x^{2}\right) \ln \left(4 \ln \left(\frac{x -{\mathrm e}^{3}}{x}\right)+8\right)^{2}+\left(\left(\left(-2 x^{2}-2 x \right) {\mathrm e}^{3}+2 x^{3}+2 x^{2}\right) \ln \left(\frac{x -{\mathrm e}^{3}}{x}\right)+\left(-4 x^{2}-4 x \right) {\mathrm e}^{3}+4 x^{3}+4 x^{2}\right) \ln \left(4 \ln \left(\frac{x -{\mathrm e}^{3}}{x}\right)+8\right)+\left(\left(x^{3}+2 x^{2}+6 x \right) {\mathrm e}^{3}-x^{4}-2 x^{3}-6 x^{2}\right) \ln \left(\frac{x -{\mathrm e}^{3}}{x}\right)+\left(2 x^{3}+4 x^{2}+12 x +5\right) {\mathrm e}^{3}-2 x^{4}-4 x^{3}-12 x^{2}}{\left(\left(x \,{\mathrm e}^{3}-x^{2}\right) \ln \left(\frac{x -{\mathrm e}^{3}}{x}\right)+2 x \,{\mathrm e}^{3}-2 x^{2}\right) \ln \left(4 \ln \left(\frac{x -{\mathrm e}^{3}}{x}\right)+8\right)^{2}+\left(\left(\left(-2 x^{2}-2 x \right) {\mathrm e}^{3}+2 x^{3}+2 x^{2}\right) \ln \left(\frac{x -{\mathrm e}^{3}}{x}\right)+\left(-4 x^{2}-4 x \right) {\mathrm e}^{3}+4 x^{3}+4 x^{2}\right) \ln \left(4 \ln \left(\frac{x -{\mathrm e}^{3}}{x}\right)+8\right)+\left(\left(x^{3}+2 x^{2}+x \right) {\mathrm e}^{3}-x^{4}-2 x^{3}-x^{2}\right) \ln \left(\frac{x -{\mathrm e}^{3}}{x}\right)+\left(2 x^{3}+4 x^{2}+2 x \right) {\mathrm e}^{3}-2 x^{4}-4 x^{3}-2 x^{2}}\, dx\]"," ",0,"int((((x*exp(3)-x^2)*ln((x-exp(3))/x)+2*x*exp(3)-2*x^2)*ln(4*ln((x-exp(3))/x)+8)^2+(((-2*x^2-2*x)*exp(3)+2*x^3+2*x^2)*ln((x-exp(3))/x)+(-4*x^2-4*x)*exp(3)+4*x^3+4*x^2)*ln(4*ln((x-exp(3))/x)+8)+((x^3+2*x^2+6*x)*exp(3)-x^4-2*x^3-6*x^2)*ln((x-exp(3))/x)+(2*x^3+4*x^2+12*x+5)*exp(3)-2*x^4-4*x^3-12*x^2)/(((x*exp(3)-x^2)*ln((x-exp(3))/x)+2*x*exp(3)-2*x^2)*ln(4*ln((x-exp(3))/x)+8)^2+(((-2*x^2-2*x)*exp(3)+2*x^3+2*x^2)*ln((x-exp(3))/x)+(-4*x^2-4*x)*exp(3)+4*x^3+4*x^2)*ln(4*ln((x-exp(3))/x)+8)+((x^3+2*x^2+x)*exp(3)-x^4-2*x^3-x^2)*ln((x-exp(3))/x)+(2*x^3+4*x^2+2*x)*exp(3)-2*x^4-4*x^3-2*x^2),x)","F"
618,1,31,21,0.083000," ","int(((-20*x-20)*ln(2*x+2)^2+(-8*x-8)*ln(2*x+2)+4*x^2-11*x+1)/((20*x^2-40*x-60)*ln(2*x+2)^2+(-4*x^3+28*x^2-28*x-60)*ln(2*x+2)-2*x^3+9*x^2-4*x-15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x -3\right)+\ln \left(\ln \left(2 x +2\right)-\frac{x}{5}+\frac{1}{2}\right)-\ln \left(\frac{1}{2}+\ln \left(2 x +2\right)\right)$&$31$\\ norman&$-\ln \left(x -3\right)-\ln \left(2 \ln \left(2 x +2\right)+1\right)+\ln \left(2 x -10 \ln \left(2 x +2\right)-5\right)$&$35$\\ \hline \end{longtable}"," ",0,"-ln(x-3)+ln(ln(2*x+2)-1/5*x+1/2)-ln(1/2+ln(2*x+2))","A"
619,1,44,20,0.092000," ","int(((-x^4+24*x^3-217*x^2+854*x-1176)*exp(1/2*x)-2*x^4+44*x^3-294*x^2+588*x)/(2*x^6-36*x^5+216*x^4-432*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-14 x^{2}+x^{3}+49 x +14 x \,{\mathrm e}^{\frac{x}{2}}-x^{2} {\mathrm e}^{\frac{x}{2}}-49 \,{\mathrm e}^{\frac{x}{2}}}{x^{2} \left(x -6\right)^{2}}$&$44$\\ risch&$\frac{x^{2}-14 x +49}{x \left(x^{2}-12 x +36\right)}-\frac{\left(x^{2}-14 x +49\right) {\mathrm e}^{\frac{x}{2}}}{x^{2} \left(x -6\right)^{2}}$&$46$\\ derivativedivides&$\frac{49}{36 x}+\frac{1}{24 \left(\frac{x}{2}-3\right)^{2}}-\frac{13}{72 \left(\frac{x}{2}-3\right)}-\frac{{\mathrm e}^{\frac{x}{2}}}{144 \left(\frac{x}{2}-3\right)^{2}}+\frac{7 \,{\mathrm e}^{\frac{x}{2}}}{216 \left(\frac{x}{2}-3\right)}-\frac{49 \,{\mathrm e}^{\frac{x}{2}}}{36 x^{2}}-\frac{7 \,{\mathrm e}^{\frac{x}{2}}}{108 x}$&$69$\\ default&$\frac{49}{36 x}+\frac{1}{24 \left(\frac{x}{2}-3\right)^{2}}-\frac{13}{72 \left(\frac{x}{2}-3\right)}-\frac{{\mathrm e}^{\frac{x}{2}}}{144 \left(\frac{x}{2}-3\right)^{2}}+\frac{7 \,{\mathrm e}^{\frac{x}{2}}}{216 \left(\frac{x}{2}-3\right)}-\frac{49 \,{\mathrm e}^{\frac{x}{2}}}{36 x^{2}}-\frac{7 \,{\mathrm e}^{\frac{x}{2}}}{108 x}$&$69$\\ \hline \end{longtable}"," ",0,"(-14*x^2+x^3+49*x+14*x*exp(1/2*x)-x^2*exp(1/2*x)-49*exp(1/2*x))/x^2/(x-6)^2","B"
620,1,60,22,0.063000," ","int(1/9*((3200*x^6+12800*x^3-102400)*ln(5)^2+(1120*x^6+240*x^5+2240*x^3+1920*x^2)*ln(5)+98*x^6+51*x^5)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{1600 x^{2} \ln \left(5\right)^{2}}{9}+\frac{560 x^{2} \ln \left(5\right)}{9}+\frac{80 x \ln \left(5\right)}{3}+\frac{49 x^{2}}{9}+\frac{17 x}{3}-\frac{320 \ln \left(5\right)}{3 x^{2}}-\frac{320 \ln \left(5\right) \left(40 \ln \left(5\right)+7\right)}{9 x}+\frac{25600 \ln \left(5\right)^{2}}{9 x^{4}}$&$60$\\ norman&$\frac{\left(-\frac{12800 \ln \left(5\right)^{2}}{9}-\frac{2240 \ln \left(5\right)}{9}\right) x^{3}+\left(\frac{80 \ln \left(5\right)}{3}+\frac{17}{3}\right) x^{5}+\left(\frac{1600 \ln \left(5\right)^{2}}{9}+\frac{560 \ln \left(5\right)}{9}+\frac{49}{9}\right) x^{6}+\frac{25600 \ln \left(5\right)^{2}}{9}-\frac{320 x^{2} \ln \left(5\right)}{3}}{x^{4}}$&$60$\\ risch&$\frac{1600 x^{2} \ln \left(5\right)^{2}}{9}+\frac{560 x^{2} \ln \left(5\right)}{9}+\frac{80 x \ln \left(5\right)}{3}+\frac{49 x^{2}}{9}+\frac{17 x}{3}+\frac{\left(-12800 \ln \left(5\right)^{2}-2240 \ln \left(5\right)\right) x^{3}-960 x^{2} \ln \left(5\right)+25600 \ln \left(5\right)^{2}}{9 x^{4}}$&$65$\\ gosper&$\frac{1600 x^{6} \ln \left(5\right)^{2}+560 x^{6} \ln \left(5\right)+240 x^{5} \ln \left(5\right)+49 x^{6}-12800 x^{3} \ln \left(5\right)^{2}+51 x^{5}-2240 x^{3} \ln \left(5\right)-960 x^{2} \ln \left(5\right)+25600 \ln \left(5\right)^{2}}{9 x^{4}}$&$69$\\ \hline \end{longtable}"," ",0,"1600/9*x^2*ln(5)^2+560/9*x^2*ln(5)+80/3*x*ln(5)+49/9*x^2+17/3*x-320/3*ln(5)/x^2-320/9*ln(5)*(40*ln(5)+7)/x+25600/9*ln(5)^2/x^4","B"
621,1,38,29,0.067000," ","int((((2*x^3+3*x^2-2*x+1)*exp(2)^2-16*x^2*exp(2)+32*x-16)*ln(2)^2*exp(2*x)+x^2*exp(2)^2)/x^2/exp(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(x^{2} {\mathrm e}^{4}+x \,{\mathrm e}^{4}-{\mathrm e}^{4}-8 \,{\mathrm e}^{2} x +16\right) \ln \left(2\right)^{2} {\mathrm e}^{2 x -4}}{x}$&$38$\\ norman&$\frac{\left(x^{2} {\mathrm e}^{2}+{\mathrm e}^{2} \ln \left(2\right)^{2} {\mathrm e}^{2 x} x^{2}+\ln \left(2\right)^{2} \left({\mathrm e}^{2}-8\right) x \,{\mathrm e}^{2 x}-\ln \left(2\right)^{2} \left({\mathrm e}^{4}-16\right) {\mathrm e}^{-2} {\mathrm e}^{2 x}\right) {\mathrm e}^{-2}}{x}$&$64$\\ default&${\mathrm e}^{-4} \left(x \,{\mathrm e}^{4}+{\mathrm e}^{4} \ln \left(2\right)^{2} {\mathrm e}^{2 x} x +{\mathrm e}^{4} \ln \left(2\right)^{2} {\mathrm e}^{2 x}+\frac{16 \ln \left(2\right)^{2} {\mathrm e}^{2 x}}{x}-8 \ln \left(2\right)^{2} {\mathrm e}^{2 x} {\mathrm e}^{2}-\frac{\ln \left(2\right)^{2} {\mathrm e}^{2 x} {\mathrm e}^{4}}{x}\right)$&$82$\\ derivativedivides&$\frac{{\mathrm e}^{-4} \left(2 x \,{\mathrm e}^{4}+2 \,{\mathrm e}^{4} \ln \left(2\right)^{2} {\mathrm e}^{2 x} x +2 \,{\mathrm e}^{4} \ln \left(2\right)^{2} {\mathrm e}^{2 x}+\frac{32 \ln \left(2\right)^{2} {\mathrm e}^{2 x}}{x}-16 \ln \left(2\right)^{2} {\mathrm e}^{2 x} {\mathrm e}^{2}-\frac{2 \ln \left(2\right)^{2} {\mathrm e}^{2 x} {\mathrm e}^{4}}{x}\right)}{2}$&$86$\\ \hline \end{longtable}"," ",0,"x+1/x*(x^2*exp(4)+x*exp(4)-exp(4)-8*exp(2)*x+16)*ln(2)^2*exp(2*x-4)","A"
622,1,12,11,0.139000," ","int(((x^5+4*x^4+4*x)*ln(x)+x^4+4)/(x^5+4*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x^{4}+4\right)+\ln \left(\ln \left(x \right)\right)$&$12$\\ default&$\ln \left(\ln \left(x \right)\right)+x +\ln \left(x^{2}+2 x +2\right)+\ln \left(x^{2}-2 x +2\right)$&$24$\\ norman&$\ln \left(\ln \left(x \right)\right)+x +\ln \left(x^{2}+2 x +2\right)+\ln \left(x^{2}-2 x +2\right)$&$24$\\ \hline \end{longtable}"," ",0,"x+ln(x^4+4)+ln(ln(x))","A"
623,1,26,26,0.048000," ","int(((-225*x^2-1610*x-2880)*ln((9*x^2+32*x)/(10*x+36))-225*x^2-1620*x-2880)/(45*x^4+322*x^3+576*x^2)/ln((9*x^2+32*x)/(10*x+36))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5}{x \ln \left(\frac{9 x^{2}+32 x}{10 x +36}\right)}$&$26$\\ risch&$\frac{5}{x \ln \left(\frac{9 x^{2}+32 x}{10 x +36}\right)}$&$26$\\ \hline \end{longtable}"," ",0,"5/x/ln((9*x^2+32*x)/(10*x+36))","A"
624,1,26,20,0.073000," ","int((-x^2*ln(x)+(x^2+2*x-4)*exp(x)+2*x^4+16*x^3+30*x^2+4*x)/(2*x^4+16*x^3+32*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}-\frac{29 x}{2}+\frac{x \ln \left(x \right)}{2}+\frac{{\mathrm e}^{x}}{2}}{\left(4+x \right) x}$&$26$\\ risch&$\frac{\ln \left(x \right)}{2 x +8}+\frac{2 x^{3}+8 x^{2}+3 x +{\mathrm e}^{x}}{2 \left(4+x \right) x}$&$37$\\ default&$-\frac{{\mathrm e}^{x}}{8 \left(4+x \right)}+\frac{{\mathrm e}^{x}}{8 x}-\frac{\ln \left(x \right) x}{8 \left(4+x \right)}+x +\frac{\ln \left(x \right)}{8}+\frac{3}{2 \left(4+x \right)}$&$40$\\ \hline \end{longtable}"," ",0,"(x^3-29/2*x+1/2*x*ln(x)+1/2*exp(x))/(4+x)/x","A"
625,1,41,17,0.026000," ","int((-4*x*ln(x)^2+(8*x^2-52*x+128)*ln(x)-3*x^3+16*x^2+82*x-320)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-4 x +64\right) \ln \left(x \right)^{2}+\left(4 x^{2}-44 x \right) \ln \left(x \right)-x^{3}+6 x^{2}+126 x -320 \ln \left(x \right)$&$41$\\ default&$-4 x \ln \left(x \right)^{2}-44 x \ln \left(x \right)+126 x +4 x^{2} \ln \left(x \right)+6 x^{2}-x^{3}+64 \ln \left(x \right)^{2}-320 \ln \left(x \right)$&$44$\\ norman&$-4 x \ln \left(x \right)^{2}-44 x \ln \left(x \right)+126 x +4 x^{2} \ln \left(x \right)+6 x^{2}-x^{3}+64 \ln \left(x \right)^{2}-320 \ln \left(x \right)$&$44$\\ \hline \end{longtable}"," ",0,"(-4*x+64)*ln(x)^2+(4*x^2-44*x)*ln(x)-x^3+6*x^2+126*x-320*ln(x)","B"
626,1,53,21,0.056000," ","int((13122*x^13+5832*x^12+237168*x^11+84636*x^10+1506602*x^9+394200*x^8+4283612*x^7+709344*x^6+5340654*x^5+393660*x^4+2125764*x^3+2*x^2+1)/(6561*x^12+2916*x^11+79218*x^10+26280*x^9+357211*x^8+78840*x^7+712962*x^6+78732*x^5+531441*x^4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\ln \left(6561 x^{12}+2916 x^{11}+79218 x^{10}+26280 x^{9}+357211 x^{8}+78840 x^{7}+712962 x^{6}+78732 x^{5}+531441 x^{4}+x \right)$&$53$\\ default&$x^{2}+\ln \left(x \right)+\ln \left(6561 x^{11}+2916 x^{10}+79218 x^{9}+26280 x^{8}+357211 x^{7}+78840 x^{6}+712962 x^{5}+78732 x^{4}+531441 x^{3}+1\right)$&$55$\\ norman&$x^{2}+\ln \left(x \right)+\ln \left(6561 x^{11}+2916 x^{10}+79218 x^{9}+26280 x^{8}+357211 x^{7}+78840 x^{6}+712962 x^{5}+78732 x^{4}+531441 x^{3}+1\right)$&$55$\\ \hline \end{longtable}"," ",0,"x^2+ln(6561*x^12+2916*x^11+79218*x^10+26280*x^9+357211*x^8+78840*x^7+712962*x^6+78732*x^5+531441*x^4+x)","B"
627,1,18,25,0.060000," ","int((-exp(3)+3*x^2-6*x-1)/((x^2-x)*exp(3)+3*x^3-2*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-\ln \left(x -1\right)+\ln \left(3 x +{\mathrm e}^{3}+1\right)$&$18$\\ norman&$\ln \left(x \right)-\ln \left(x -1\right)+\ln \left(3 x +{\mathrm e}^{3}+1\right)$&$18$\\ risch&$-\ln \left(x -1\right)+\ln \left(3 x^{2}+x \left({\mathrm e}^{3}+1\right)\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(x-1)+ln(3*x+exp(3)+1)","A"
628,1,36,31,0.964000," ","int(((-2*x^3+4*x^2+2*x-8)*exp(4/ln(3)^2)+3*x^4-8*x^3-2*x^2+8*x)*exp((x^2*ln(2)-1)/x^2)/((x^6-8*x^5+16*x^4)*exp(4/ln(3)^2)^2+(-2*x^7+16*x^6-32*x^5)*exp(4/ln(3)^2)+x^8-8*x^7+16*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{\frac{x^{2} \ln \left(2\right)-1}{x^{2}}}}{x \left(x -4\right) \left({\mathrm e}^{\frac{4}{\ln \left(3\right)^{2}}}-x \right)}$&$36$\\ \hline \end{longtable}"," ",0,"1/x*exp((x^2*ln(2)-1)/x^2)/(x-4)/(exp(4/ln(3)^2)-x)","A"
629,1,828,28,47.700000," ","int(((-exp(2)^3+2*exp(2)*x)*exp(x+exp(exp(x)))^3+(-4*x^2*exp(x)*exp(exp(x))+6*exp(2)^2-4*x^2-4*x)*exp(x+exp(exp(x)))^2-12*exp(2)*exp(x+exp(exp(x)))+8)*exp(1/ln(((x*exp(2)^2-x^2)*exp(x+exp(exp(x)))^2-4*x*exp(2)*exp(x+exp(exp(x)))+4*x)/(exp(2)^2*exp(x+exp(exp(x)))^2-4*exp(2)*exp(x+exp(exp(x)))+4)))/((x*exp(2)^3-x^2*exp(2))*exp(x+exp(exp(x)))^3+(-6*x*exp(2)^2+2*x^2)*exp(x+exp(exp(x)))^2+12*x*exp(2)*exp(x+exp(exp(x)))-8*x)/ln(((x*exp(2)^2-x^2)*exp(x+exp(exp(x)))^2-4*x*exp(2)*exp(x+exp(exp(x)))+4*x)/(exp(2)^2*exp(x+exp(exp(x)))^2-4*exp(2)*exp(x+exp(exp(x)))+4))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2}{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)^{2}\right)^{3}-2 i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)\right)+i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)^{2}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}} x +4 \,{\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-{\mathrm e}^{4+2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}}-4\right)}{\left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)^{2}}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}} x +4 \,{\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-{\mathrm e}^{4+2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}}-4\right)}{\left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)^{2}}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}} x +4 \,{\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-{\mathrm e}^{4+2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}}-4\right)}{\left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)^{2}}\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}} x +4 \,{\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-{\mathrm e}^{4+2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}}-4\right)\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}} x +4 \,{\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-{\mathrm e}^{4+2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}}-4\right)}{\left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)^{2}}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}} x +4 \,{\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-{\mathrm e}^{4+2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}}-4\right)\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}} x +4 \,{\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-{\mathrm e}^{4+2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}}-4\right)}{\left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)^{2}}\right) \mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}} x +4 \,{\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-{\mathrm e}^{4+2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}}-4\right)}{\left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)^{2}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}} x +4 \,{\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-{\mathrm e}^{4+2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}}-4\right)}{\left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)^{2}}\right) \mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}} x +4 \,{\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-{\mathrm e}^{4+2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}}-4\right)}{\left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)^{2}}\right) \mathrm{csgn}\left(i x \right)+i \pi  \mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}} x +4 \,{\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-{\mathrm e}^{4+2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}}-4\right)}{\left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)^{2}}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}} x +4 \,{\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-{\mathrm e}^{4+2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}}-4\right)}{\left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)^{2}}\right)^{2} \mathrm{csgn}\left(i x \right)+2 \ln \left(x \right)-4 \ln \left({\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}-2\right)+2 \ln \left({\mathrm e}^{4+2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}}-{\mathrm e}^{2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}} x -4 \,{\mathrm e}^{2+x +{\mathrm e}^{{\mathrm e}^{x}}}+4\right)}}$&$828$\\ \hline \end{longtable}"," ",0,"exp(2/(I*Pi*csgn(I*(exp(2+x+exp(exp(x)))-2)^2)^3-2*I*Pi*csgn(I*(exp(2+x+exp(exp(x)))-2)^2)^2*csgn(I*(exp(2+x+exp(exp(x)))-2))+I*Pi*csgn(I*(exp(2+x+exp(exp(x)))-2)^2)*csgn(I*(exp(2+x+exp(exp(x)))-2))^2+I*Pi*csgn(I*(exp(2*x+2*exp(exp(x)))*x+4*exp(2+x+exp(exp(x)))-exp(4+2*x+2*exp(exp(x)))-4)/(exp(2+x+exp(exp(x)))-2)^2)^3+I*Pi*csgn(I*(exp(2*x+2*exp(exp(x)))*x+4*exp(2+x+exp(exp(x)))-exp(4+2*x+2*exp(exp(x)))-4)/(exp(2+x+exp(exp(x)))-2)^2)^2*csgn(I/(exp(2+x+exp(exp(x)))-2)^2)-I*Pi*csgn(I*(exp(2*x+2*exp(exp(x)))*x+4*exp(2+x+exp(exp(x)))-exp(4+2*x+2*exp(exp(x)))-4)/(exp(2+x+exp(exp(x)))-2)^2)^2*csgn(I*(exp(2*x+2*exp(exp(x)))*x+4*exp(2+x+exp(exp(x)))-exp(4+2*x+2*exp(exp(x)))-4))-I*Pi*csgn(I*(exp(2*x+2*exp(exp(x)))*x+4*exp(2+x+exp(exp(x)))-exp(4+2*x+2*exp(exp(x)))-4)/(exp(2+x+exp(exp(x)))-2)^2)*csgn(I/(exp(2+x+exp(exp(x)))-2)^2)*csgn(I*(exp(2*x+2*exp(exp(x)))*x+4*exp(2+x+exp(exp(x)))-exp(4+2*x+2*exp(exp(x)))-4))-I*Pi*csgn(I*(exp(2*x+2*exp(exp(x)))*x+4*exp(2+x+exp(exp(x)))-exp(4+2*x+2*exp(exp(x)))-4)/(exp(2+x+exp(exp(x)))-2)^2)*csgn(I*x*(exp(2*x+2*exp(exp(x)))*x+4*exp(2+x+exp(exp(x)))-exp(4+2*x+2*exp(exp(x)))-4)/(exp(2+x+exp(exp(x)))-2)^2)^2-I*Pi*csgn(I*(exp(2*x+2*exp(exp(x)))*x+4*exp(2+x+exp(exp(x)))-exp(4+2*x+2*exp(exp(x)))-4)/(exp(2+x+exp(exp(x)))-2)^2)*csgn(I*x*(exp(2*x+2*exp(exp(x)))*x+4*exp(2+x+exp(exp(x)))-exp(4+2*x+2*exp(exp(x)))-4)/(exp(2+x+exp(exp(x)))-2)^2)*csgn(I*x)+I*Pi*csgn(I*x*(exp(2*x+2*exp(exp(x)))*x+4*exp(2+x+exp(exp(x)))-exp(4+2*x+2*exp(exp(x)))-4)/(exp(2+x+exp(exp(x)))-2)^2)^3+I*Pi*csgn(I*x*(exp(2*x+2*exp(exp(x)))*x+4*exp(2+x+exp(exp(x)))-exp(4+2*x+2*exp(exp(x)))-4)/(exp(2+x+exp(exp(x)))-2)^2)^2*csgn(I*x)+2*ln(x)-4*ln(exp(2+x+exp(exp(x)))-2)+2*ln(exp(4+2*x+2*exp(exp(x)))-exp(2*x+2*exp(exp(x)))*x-4*exp(2+x+exp(exp(x)))+4)))","C"
630,1,18,20,0.537000," ","int(((-15000*x^2+15000*x-3750)*exp(625/x^2)-8*x^5+8*x^4+4*x^3)/(12*x^5-12*x^4+3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x}{3}-\frac{1}{2 \left(x -\frac{1}{2}\right)}+{\mathrm e}^{\frac{625}{x^{2}}}$&$18$\\ norman&$\frac{-\frac{4 x^{3}}{3}-\frac{4 x^{4}}{3}-{\mathrm e}^{\frac{625}{x^{2}}} x^{2}+2 \,{\mathrm e}^{\frac{625}{x^{2}}} x^{3}}{x^{2} \left(2 x -1\right)}$&$45$\\ \hline \end{longtable}"," ",0,"-2/3*x-1/2/(x-1/2)+exp(625/x^2)","A"
631,1,35,30,0.116000," ","int(((4*x^5+4*x^3+2*x^2-1)*exp(exp(4)^2)+12*x^9+2*x^8-24*x^6-4*x^5+12*x^3+2*x^2)/(x^8-2*x^5+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$6 x^{2}+2 x +\frac{-2 \,{\mathrm e}^{{\mathrm e}^{8}} x^{2}-{\mathrm e}^{{\mathrm e}^{8}}}{x \left(x^{3}-1\right)}$&$35$\\ default&$2 x +6 x^{2}-\frac{{\mathrm e}^{{\mathrm e}^{8}}}{x -1}-\frac{{\mathrm e}^{{\mathrm e}^{8}}}{x^{2}+x +1}+\frac{{\mathrm e}^{{\mathrm e}^{8}}}{x}$&$40$\\ norman&$\frac{6 x^{6}+2 x^{5}-6 x^{3}+\left(-2 \,{\mathrm e}^{{\mathrm e}^{8}}-2\right) x^{2}-{\mathrm e}^{{\mathrm e}^{8}}}{x \left(x^{3}-1\right)}$&$48$\\ gosper&$-\frac{-6 x^{6}-2 x^{5}+2 \,{\mathrm e}^{{\mathrm e}^{8}} x^{2}+6 x^{3}+2 x^{2}+{\mathrm e}^{{\mathrm e}^{8}}}{x \left(x^{3}-1\right)}$&$49$\\ \hline \end{longtable}"," ",0,"6*x^2+2*x+(-2*exp(exp(8))*x^2-exp(exp(8)))/x/(x^3-1)","A"
632,1,17,18,0.076000," ","int(1/3*(2*x-3)*exp(-1/3*x^2+x)*exp(-exp(-1/3*x^2+x)+ln(3))-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \,{\mathrm e}^{-{\mathrm e}^{-\frac{x \left(x -3\right)}{3}}}-2 x$&$17$\\ default&${\mathrm e}^{-{\mathrm e}^{-\frac{1}{3} x^{2}+x}+\ln \left(3\right)}-2 x$&$19$\\ norman&${\mathrm e}^{-{\mathrm e}^{-\frac{1}{3} x^{2}+x}+\ln \left(3\right)}-2 x$&$19$\\ \hline \end{longtable}"," ",0,"3*exp(-exp(-1/3*x*(x-3)))-2*x","A"
633,1,27,27,0.198000," ","int(((x-1)*ln(-ln(15)/(x-1))+4*(1-x)*ln(2)+1-2*x)/((x^2-x)*ln(-ln(15)/(x-1))+4*(-x^2+4*x-3)*ln(2)-x^2+4*x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(4 x \ln \left(2\right)-\ln \left(-\frac{\ln \left(15\right)}{x -1}\right) x -12 \ln \left(2\right)+x -3\right)$&$27$\\ risch&$\ln \left(x \right)+\ln \left(\ln \left(-\frac{\ln \left(3\right)+\ln \left(5\right)}{x -1}\right)-\frac{4 x \ln \left(2\right)-12 \ln \left(2\right)+x -3}{x}\right)$&$36$\\ \hline \end{longtable}"," ",0,"ln(4*x*ln(2)-ln(-ln(15)/(x-1))*x-12*ln(2)+x-3)","A"
634,1,33,32,0.130000," ","int(((-9*x^2*exp(exp(x))^4+(18*x^3*exp(2)-36*x^4)*exp(exp(x))^2-9*x^4*exp(2)^2+36*exp(2)*x^5-36*x^6)*exp(x^2/(exp(exp(x))^2-exp(2)*x+2*x^2))+exp(exp(x))^4+(2*exp(x)*x^3-2*exp(2)*x+2*x^2)*exp(exp(x))^2+x^2*exp(2)^2-3*x^3*exp(2)+4*x^4)/(exp(exp(x))^4+(-2*exp(2)*x+4*x^2)*exp(exp(x))^2+x^2*exp(2)^2-4*x^3*exp(2)+4*x^4)/exp(x^2/(exp(exp(x))^2-exp(2)*x+2*x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 x^{3}+x \,{\mathrm e}^{\frac{x^{2}}{{\mathrm e}^{2} x -2 x^{2}-{\mathrm e}^{2 \,{\mathrm e}^{x}}}}$&$33$\\ \hline \end{longtable}"," ",0,"-3*x^3+x*exp(x^2/(exp(2)*x-2*x^2-exp(2*exp(x))))","A"
635,1,32,24,0.233000," ","int(((-x^2+4*x-4)*exp(((2-x)*exp(x)+x^2-2*x+1)/(x-2))+(2*x^2-8*x+8)*exp(x)-2*x^2+8*x-6)/(x^2-4*x+4)/exp(((2-x)*exp(x)+x^2-2*x+1)/(x-2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +2 \,{\mathrm e}^{\frac{{\mathrm e}^{x} x -x^{2}-2 \,{\mathrm e}^{x}+2 x -1}{x -2}}$&$32$\\ norman&$\frac{\left(-4+4 \,{\mathrm e}^{\frac{\left(2-x \right) {\mathrm e}^{x}+x^{2}-2 x +1}{x -2}}+2 x -x^{2} {\mathrm e}^{\frac{\left(2-x \right) {\mathrm e}^{x}+x^{2}-2 x +1}{x -2}}\right) {\mathrm e}^{-\frac{\left(2-x \right) {\mathrm e}^{x}+x^{2}-2 x +1}{x -2}}}{x -2}$&$90$\\ \hline \end{longtable}"," ",0,"-x+2*exp((exp(x)*x-x^2-2*exp(x)+2*x-1)/(x-2))","A"
636,1,21,26,0.087000," ","int(((-9*x^2-18*x+18)*exp(x)+135*x^2-90)*exp(3/((5*x^2-10)*exp(x)-25*x^3+50*x))/((5*x^4-20*x^2+20)*exp(x)^2+(-50*x^5+200*x^3-200*x)*exp(x)+125*x^6-500*x^4+500*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \,{\mathrm e}^{\frac{3}{5 \left(x^{2}-2\right) \left({\mathrm e}^{x}-5 x \right)}}$&$21$\\ \hline \end{longtable}"," ",0,"3*exp(3/5/(x^2-2)/(exp(x)-5*x))","A"
637,1,28,21,0.198000," ","int(((-16*x^2+35*x-25)*exp(-x/(4*x-5))+(16*x^2-40*x+25)*ln(5)+64*x^3-176*x^2+140*x-25)/(16*x^2-40*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(5\right)+2 x^{2}-x \,{\mathrm e}^{-\frac{x}{4 x -5}}-x$&$28$\\ derivativedivides&$\frac{\ln \left(5\right) \left(4 x -5\right)}{4}+\frac{\left(4 x -5\right)^{2}}{8}+4 x -5-\frac{{\mathrm e}^{-\frac{1}{4}-\frac{5}{4 \left(4 x -5\right)}} \left(4 x -5\right)}{4}-\frac{5 \,{\mathrm e}^{-\frac{1}{4}-\frac{5}{4 \left(4 x -5\right)}}}{4}$&$57$\\ default&$\frac{\ln \left(5\right) \left(4 x -5\right)}{4}+\frac{\left(4 x -5\right)^{2}}{8}+4 x -5-\frac{{\mathrm e}^{-\frac{1}{4}-\frac{5}{4 \left(4 x -5\right)}} \left(4 x -5\right)}{4}-\frac{5 \,{\mathrm e}^{-\frac{1}{4}-\frac{5}{4 \left(4 x -5\right)}}}{4}$&$57$\\ norman&$\frac{\left(-14+4 \ln \left(5\right)\right) x^{2}+8 x^{3}+5 x \,{\mathrm e}^{-\frac{x}{4 x -5}}-4 x^{2} {\mathrm e}^{-\frac{x}{4 x -5}}+\frac{25}{4}-\frac{25 \ln \left(5\right)}{4}}{4 x -5}$&$60$\\ \hline \end{longtable}"," ",0,"x*ln(5)+2*x^2-x*exp(-x/(4*x-5))-x","A"
638,1,26,23,0.174000," ","int(((-4*x^3+12*x)*exp(1)-8*x^3-12*x^2)/(x^2+2*x+1)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{6 x^{2}-2 \left({\mathrm e}+2\right) {\mathrm e}^{-1} x^{3}}{x +1}$&$26$\\ gosper&$-\frac{2 x^{2} \left(x \,{\mathrm e}-3 \,{\mathrm e}+2 x \right) {\mathrm e}^{-1}}{x +1}$&$27$\\ default&${\mathrm e}^{-1} \left(-2 x^{2} {\mathrm e}+8 x \,{\mathrm e}-4 x^{2}+4 x -\frac{4 \left(-2 \,{\mathrm e}-1\right)}{x +1}\right)$&$40$\\ risch&$-2 x^{2}+8 x -4 x^{2} {\mathrm e}^{-1}+4 \,{\mathrm e}^{-1} x +\frac{4 \,{\mathrm e}^{-1}}{x +1}+\frac{8 \,{\mathrm e}^{-1} {\mathrm e}}{x +1}$&$42$\\ meijerg&$-12 \,{\mathrm e}^{-1} \left(\frac{x \left(6+3 x \right)}{3 x +3}-2 \ln \left(x +1\right)\right)+\left(-4 \,{\mathrm e}-8\right) {\mathrm e}^{-1} \left(-\frac{x \left(-2 x^{2}+6 x +12\right)}{4 \left(x +1\right)}+3 \ln \left(x +1\right)\right)-\frac{12 x}{x +1}+12 \ln \left(x +1\right)$&$74$\\ \hline \end{longtable}"," ",0,"(6*x^2-2*(exp(1)+2)/exp(1)*x^3)/(x+1)","A"
639,1,44,25,0.078000," ","int((-16*x^2*ln(16/x^2)*exp(ln(16/x^2)^2)^2+((-16*x^2+48*x)*ln(16/x^2)+12*x)*exp(ln(16/x^2)^2)-2*x^3+12*x-36)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x +\frac{-12 x +18}{x^{2}}+2 \,{\mathrm e}^{2 \ln \left(\frac{16}{x^{2}}\right)^{2}}+\frac{4 \left(x -3\right) {\mathrm e}^{\ln \left(\frac{16}{x^{2}}\right)^{2}}}{x}$&$44$\\ default&$\frac{4 \,{\mathrm e}^{\ln \left(\frac{16}{x^{2}}\right)^{2}} x -12 \,{\mathrm e}^{\ln \left(\frac{16}{x^{2}}\right)^{2}}}{x}-2 x +\frac{18}{x^{2}}-\frac{12}{x}+2 \,{\mathrm e}^{2 \ln \left(\frac{16}{x^{2}}\right)^{2}}$&$56$\\ \hline \end{longtable}"," ",0,"-2*x+(-12*x+18)/x^2+2*exp(2*ln(16/x^2)^2)+4*(x-3)/x*exp(ln(16/x^2)^2)","A"
640,1,190125,33,51.750000," ","int(((18*x^3*exp(x^2)^2+2*x^4)*ln(1/9*(9*x*exp(x^2)^2+x^2)/exp(x^2)^2)^4+(36*x^3*exp(x^2)^2-16*x^6+8*x^4)*ln(1/9*(9*x*exp(x^2)^2+x^2)/exp(x^2)^2)^3+((18*x^2*exp(1)-36*x^3)*exp(x^2)^2+2*x^3*exp(1)-4*x^4)*ln(1/9*(9*x*exp(x^2)^2+x^2)/exp(x^2)^2)^2+((36*x^2*exp(1)-36*x^3)*exp(x^2)^2+(-16*x^5+8*x^3)*exp(1)+16*x^6-8*x^4)*ln(1/9*(9*x*exp(x^2)^2+x^2)/exp(x^2)^2)+(-18*x^2*exp(1)+18*x^3-27)*exp(x^2)^2-2*x^3*exp(1)+2*x^4-3*x)/(9*x^2*exp(x^2)^2+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$190125$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
641,1,18,19,0.059000," ","int(((-32*x^2*ln(2)*ln(x)+2*(-8*x^2+2)*ln(2))*exp(x^2*ln(x))+2*(-12*x+4)*ln(2))/(exp(x^2*ln(x))^5+(10*x+10)*exp(x^2*ln(x))^4+(40*x^2+80*x+40)*exp(x^2*ln(x))^3+(80*x^3+240*x^2+240*x+80)*exp(x^2*ln(x))^2+(80*x^4+320*x^3+480*x^2+320*x+80)*exp(x^2*ln(x))+32*x^5+160*x^4+320*x^3+320*x^2+160*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x \ln \left(2\right)}{\left(2 x +2+x^{x^{2}}\right)^{4}}$&$18$\\ \hline \end{longtable}"," ",0,"4*x*ln(2)/(2*x+2+x^(x^2))^4","A"
642,1,20,15,0.023000," ","int(-ln(x)-1/2*ln(3)^2+2*x-45/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{43 x}{2}+x^{2}-\frac{x \ln \left(3\right)^{2}}{2}-x \ln \left(x \right)$&$20$\\ norman&$x^{2}+\left(-\frac{43}{2}-\frac{\ln \left(3\right)^{2}}{2}\right) x -x \ln \left(x \right)$&$20$\\ risch&$-\frac{43 x}{2}+x^{2}-\frac{x \ln \left(3\right)^{2}}{2}-x \ln \left(x \right)$&$20$\\ \hline \end{longtable}"," ",0,"-43/2*x+x^2-1/2*x*ln(3)^2-x*ln(x)","A"
643,1,29,26,0.134000," ","int((((2*x^3+4*x)*exp(x)^2+(2*x^3-2*x^2+4*x+4)*exp(x))*exp(exp(x))+(-2*x^3+2*x^2-4*x-4)*exp(x)+x^4+4*x^2+4)/(x^4+4*x^2+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}+2 x -2 \,{\mathrm e}^{x} x +2 x \,{\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{x}}}{x^{2}+2}$&$29$\\ risch&$x -\frac{2 \,{\mathrm e}^{x} x}{x^{2}+2}+\frac{2 x \,{\mathrm e}^{{\mathrm e}^{x}+x}}{x^{2}+2}$&$30$\\ \hline \end{longtable}"," ",0,"(x^3+2*x-2*exp(x)*x+2*x*exp(x)*exp(exp(x)))/(x^2+2)","A"
644,1,31,17,0.075000," ","int((3751562500*x^9+7503125000*x^7)*exp(3)^2*exp(x^2)^2+(-3751562500*x^10-16882031250*x^8)*exp(3)*exp(x^2)+9378906250*x^9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$937890625 x^{8} {\mathrm e}^{2 x^{2}+6}-1875781250 x^{9} {\mathrm e}^{x^{2}+3}+937890625 x^{10}$&$31$\\ default&$937890625 \,{\mathrm e}^{6} {\mathrm e}^{2 x^{2}} x^{8}-1875781250 \,{\mathrm e}^{3} {\mathrm e}^{x^{2}} x^{9}+937890625 x^{10}$&$33$\\ norman&$937890625 \,{\mathrm e}^{6} {\mathrm e}^{2 x^{2}} x^{8}-1875781250 \,{\mathrm e}^{3} {\mathrm e}^{x^{2}} x^{9}+937890625 x^{10}$&$33$\\ \hline \end{longtable}"," ",0,"937890625*x^8*exp(2*x^2+6)-1875781250*x^9*exp(x^2+3)+937890625*x^10","A"
645,1,23,23,0.130000," ","int(((-4*x^2+4*x+32)*ln(5)^2*exp(x)+(-12*x-24)*ln(5)^2)/((x^5-8*x^4+16*x^3)*exp(x)^2+(2*x^5-2*x^4-24*x^3)*exp(x)+x^5+6*x^4+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 \ln \left(5\right)^{2}}{x^{2} \left({\mathrm e}^{x} x -4 \,{\mathrm e}^{x}+x +3\right)}$&$23$\\ risch&$\frac{4 \ln \left(5\right)^{2}}{x^{2} \left({\mathrm e}^{x} x -4 \,{\mathrm e}^{x}+x +3\right)}$&$23$\\ \hline \end{longtable}"," ",0,"4*ln(5)^2/x^2/(exp(x)*x-4*exp(x)+x+3)","A"
646,1,16,15,0.067000," ","int(1/3*(4*exp(-2/3*x-2)*exp(exp(-2/3*x-2))+6*x)*exp(-2*exp(exp(-2/3*x-2))+x^2+22),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-2 \,{\mathrm e}^{{\mathrm e}^{-\frac{2 x}{3}-2}}+x^{2}+22}$&$16$\\ risch&${\mathrm e}^{-2 \,{\mathrm e}^{{\mathrm e}^{-\frac{2 x}{3}-2}}+x^{2}+22}$&$16$\\ \hline \end{longtable}"," ",0,"exp(-2*exp(exp(-2/3*x-2))+x^2+22)","A"
647,1,13,13,0.026000," ","int(((x^3+10)*exp(1)-3*x^3-30)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left({\mathrm e}-3\right) \left(x -\frac{5}{x^{2}}\right)$&$13$\\ gosper&$\frac{\left({\mathrm e}-3\right) \left(x^{3}-5\right)}{x^{2}}$&$14$\\ norman&$\frac{\left({\mathrm e}-3\right) x^{3}-5 \,{\mathrm e}+15}{x^{2}}$&$19$\\ risch&$x \,{\mathrm e}-3 x -\frac{5 \,{\mathrm e}}{x^{2}}+\frac{15}{x^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"(exp(1)-3)*(x-5/x^2)","A"
648,1,41,26,0.046000," ","int(((-2*x-2)*exp(x)-4*x)*ln(x)+4*x^3*exp(x^4)+((-2*x-2)*exp(5)-14)*exp(x)-4*x*exp(5)-2*x-12,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x \,{\mathrm e}^{5+x}-2 x^{2} {\mathrm e}^{5}-2 x \,{\mathrm e}^{x} \ln \left(x \right)-2 x^{2} \ln \left(x \right)-12 \,{\mathrm e}^{x}+{\mathrm e}^{x^{4}}-12 x$&$41$\\ default&$-12 x -2 \,{\mathrm e}^{5} {\mathrm e}^{x}-2 \,{\mathrm e}^{5} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)-12 \,{\mathrm e}^{x}-2 x \,{\mathrm e}^{x} \ln \left(x \right)-2 x^{2} \ln \left(x \right)-2 x^{2} {\mathrm e}^{5}+{\mathrm e}^{x^{4}}$&$53$\\ \hline \end{longtable}"," ",0,"-2*x*exp(5+x)-2*x^2*exp(5)-2*x*exp(x)*ln(x)-2*x^2*ln(x)-12*exp(x)+exp(x^4)-12*x","A"
649,1,69,35,0.295000," ","int((-x^2*ln(x^2)^2+((10*x^3+7*x^2)*exp(-x^2-x+6)+4*x+10)*ln(x^2)-x^2*exp(-x^2-x+6)^2+6*x*exp(-x^2-x+6)+16)/(x^2*ln(x^2)^2+(-2*x^2*exp(-x^2-x+6)-4*x)*ln(x^2)+x^2*exp(-x^2-x+6)^2+4*x*exp(-x^2-x+6)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2} \ln \left(x^{2}\right)+5 x \,{\mathrm e}^{-x^{2}-x +6}-2 x -x^{2} {\mathrm e}^{-x^{2}-x +6}+10}{x \,{\mathrm e}^{-x^{2}-x +6}-x \ln \left(x^{2}\right)+2}$&$69$\\ default&$\frac{x^{2} \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right)+\left(5 \ln \left(x^{2}\right)-10 \ln \left(x \right)-2\right) x +10 x \ln \left(x \right)-x^{2} {\mathrm e}^{-x^{2}-x +6}+2 x^{2} \ln \left(x \right)}{x \,{\mathrm e}^{-x^{2}-x +6}-2 x \ln \left(x \right)-x \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right)+2}$&$92$\\ risch&$-x +\frac{20+10 x \,{\mathrm e}^{-\left(3+x \right) \left(x -2\right)}}{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}+2 x \,{\mathrm e}^{-\left(3+x \right) \left(x -2\right)}-4 x \ln \left(x \right)+4}$&$93$\\ \hline \end{longtable}"," ",0,"(x^2*ln(x^2)+5*x*exp(-x^2-x+6)-2*x-x^2*exp(-x^2-x+6)+10)/(x*exp(-x^2-x+6)-x*ln(x^2)+2)","A"
650,1,6,19,0.011000," ","int(2*exp(3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \,{\mathrm e}^{6}$&$6$\\ default&$2 x \,{\mathrm e}^{6}$&$8$\\ norman&$2 x \,{\mathrm e}^{6}$&$8$\\ \hline \end{longtable}"," ",0,"2*x*exp(6)","A"
651,1,20,22,0.065000," ","int((-3*x*ln(x)^2+(2*exp(x)+6)*ln(x)+(5+x)*exp(x))/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(3+{\mathrm e}^{x}\right) {\mathrm e}^{-x} \ln \left(x \right)^{2}+x +5 \ln \left(x \right)$&$20$\\ default&$x +5 \ln \left(x \right)+3 \ln \left(x \right)^{2} {\mathrm e}^{-x}+\ln \left(x \right)^{2}$&$21$\\ norman&$\left({\mathrm e}^{x} x +{\mathrm e}^{x} \ln \left(x \right)^{2}+5 \,{\mathrm e}^{x} \ln \left(x \right)+3 \ln \left(x \right)^{2}\right) {\mathrm e}^{-x}$&$30$\\ \hline \end{longtable}"," ",0,"(3+exp(x))*exp(-x)*ln(x)^2+x+5*ln(x)","A"
652,1,30,22,0.032000," ","int(((exp(x)^2*x^2+14*exp(x)*x^2+49*x^2+x+3)*ln(exp(x)^2*x^2+14*exp(x)*x^2+49*x^2+x+3)+(-2*x^3-2*x^2)*exp(x)^2+(-14*x^3-28*x^2)*exp(x)-98*x^2-x)/(exp(x)^2*x^4+14*exp(x)*x^4+49*x^4+x^3+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left({\mathrm e}^{2 x} x^{2}+14 \,{\mathrm e}^{x} x^{2}+49 x^{2}+x +3\right)}{x}$&$30$\\ \hline \end{longtable}"," ",0,"-1/x*ln(exp(2*x)*x^2+14*exp(x)*x^2+49*x^2+x+3)","A"
653,1,18,17,0.019000," ","int(2*exp(8*ln(2)^2-8/9*ln(2)+2*x+812/81)*exp(exp(8*ln(2)^2-8/9*ln(2)+2*x+812/81)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{{\mathrm e}^{8 \ln \left(2\right)^{2}-\frac{8 \ln \left(2\right)}{9}+2 x +\frac{812}{81}}}$&$18$\\ default&${\mathrm e}^{{\mathrm e}^{8 \ln \left(2\right)^{2}-\frac{8 \ln \left(2\right)}{9}+2 x +\frac{812}{81}}}$&$18$\\ norman&${\mathrm e}^{{\mathrm e}^{8 \ln \left(2\right)^{2}-\frac{8 \ln \left(2\right)}{9}+2 x +\frac{812}{81}}}$&$18$\\ risch&${\mathrm e}^{\frac{2^{\frac{1}{9}} {\mathrm e}^{8 \ln \left(2\right)^{2}+\frac{812}{81}+2 x}}{2}}$&$19$\\ \hline \end{longtable}"," ",0,"exp(exp(8*ln(2)^2-8/9*ln(2)+2*x+812/81))","A"
654,1,21,22,0.037000," ","int(((-4*x^2-2*x)*exp(x^2+x-4)-2)/((2*x*ln(x)+2*x*exp(x^2+x-4))*ln(4*ln(x)+4*exp(x^2+x-4))-5*x*ln(x)-5*x*exp(x^2+x-4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\ln \left(4 \ln \left(x \right)+4 \,{\mathrm e}^{x^{2}+x -4}\right)-\frac{5}{2}\right)$&$21$\\ \hline \end{longtable}"," ",0,"-ln(ln(4*ln(x)+4*exp(x^2+x-4))-5/2)","A"
655,1,28,27,0.122000," ","int((-4*exp(2*ln(2)-4)-4*x)*exp(x/exp(2*ln(2)-4))^4*exp(ln(3*x^2)-3)^2/x/exp(2*ln(2)-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-9 \,{\mathrm e}^{x \,{\mathrm e}^{4}} x^{4} {\mathrm e}^{-6}$&$28$\\ risch&$-9 x^{4} {\mathrm e}^{x \,{\mathrm e}^{4}-6-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}}$&$62$\\ meijerg&$-36 \,{\mathrm e}^{-22} \left(6-\frac{\left(-4 x^{3} {\mathrm e}^{12}+12 x^{2} {\mathrm e}^{8}-24 x \,{\mathrm e}^{4}+24\right) {\mathrm e}^{x \,{\mathrm e}^{4}}}{4}\right)+36 \,{\mathrm e}^{-22-2 \ln \left(2\right)} \left(24-\frac{\left(5 x^{4} {\mathrm e}^{16}-20 x^{3} {\mathrm e}^{12}+60 x^{2} {\mathrm e}^{8}-120 x \,{\mathrm e}^{4}+120\right) {\mathrm e}^{x \,{\mathrm e}^{4}}}{5}\right)$&$82$\\ norman&$\left(-216 \,{\mathrm e}^{-16} \left({\mathrm e}^{-4} {\mathrm e}^{4}-1\right) {\mathrm e}^{-3} {\mathrm e}^{x \,{\mathrm e}^{4}}+36 \,{\mathrm e}^{-4} \left({\mathrm e}^{-4} {\mathrm e}^{4}-1\right) {\mathrm e}^{-3} x^{3} {\mathrm e}^{x \,{\mathrm e}^{4}}-108 \,{\mathrm e}^{-8} \left({\mathrm e}^{-4} {\mathrm e}^{4}-1\right) {\mathrm e}^{-3} x^{2} {\mathrm e}^{x \,{\mathrm e}^{4}}+216 \,{\mathrm e}^{-12} \left({\mathrm e}^{-4} {\mathrm e}^{4}-1\right) {\mathrm e}^{-3} x \,{\mathrm e}^{x \,{\mathrm e}^{4}}-9 \,{\mathrm e}^{-3} {\mathrm e}^{4} {\mathrm e}^{-4} x^{4} {\mathrm e}^{x \,{\mathrm e}^{4}}\right) {\mathrm e}^{-3}$&$163$\\ default&${\mathrm e}^{4} {\mathrm e}^{-16} \left(-2160 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} {\mathrm e}^{-4}-1296 \,{\mathrm e}^{-4} \left({\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} \left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)-{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}\right)-288 \,{\mathrm e}^{-4} \left(\left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)^{2} {\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}-2 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} \left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)+2 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}\right)-28 \,{\mathrm e}^{-4} \left(\left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)^{3} {\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}-3 \left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)^{2} {\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}+6 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} \left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)-6 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}\right)-{\mathrm e}^{-4} \left({\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} \left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)^{4}-4 \left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)^{3} {\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}+12 \left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)^{2} {\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}-24 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} \left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)+24 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}\right)+224 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} {\mathrm e}^{-4} \left(\ln \left(3 x^{2}\right)-2 \ln \left(x \right)\right)^{3}-1152 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} {\mathrm e}^{-4} \left(\ln \left(3 x^{2}\right)-2 \ln \left(x \right)\right)^{2}+2592 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} {\mathrm e}^{-4} \left(\ln \left(3 x^{2}\right)-2 \ln \left(x \right)\right)+1152 \,{\mathrm e}^{-4} \left(\ln \left(3 x^{2}\right)-2 \ln \left(x \right)\right) \left({\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} \left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)-{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}\right)-336 \,{\mathrm e}^{-4} \left(\ln \left(3 x^{2}\right)-2 \ln \left(x \right)\right)^{2} \left({\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} \left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)-{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}\right)+168 \,{\mathrm e}^{-4} \left(\ln \left(3 x^{2}\right)-2 \ln \left(x \right)\right) \left(\left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)^{2} {\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}-2 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} \left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)+2 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}\right)-24 \,{\mathrm e}^{-4} \left(\ln \left(3 x^{2}\right)-2 \ln \left(x \right)\right)^{2} \left(\left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)^{2} {\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}-2 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} \left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)+2 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}\right)+8 \,{\mathrm e}^{-4} \left(\ln \left(3 x^{2}\right)-2 \ln \left(x \right)\right) \left(\left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)^{3} {\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}-3 \left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)^{2} {\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}+6 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} \left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)-6 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}\right)-16 \,{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} {\mathrm e}^{-4} \left(\ln \left(3 x^{2}\right)-2 \ln \left(x \right)\right)^{4}+32 \,{\mathrm e}^{-4} \left(\ln \left(3 x^{2}\right)-2 \ln \left(x \right)\right)^{3} \left({\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)} \left(x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)\right)-{\mathrm e}^{x \,{\mathrm e}^{4}-6+2 \ln \left(3 x^{2}\right)-4 \ln \left(x \right)}\right)\right)$&$2046$\\ \hline \end{longtable}"," ",0,"-exp(x/exp(2*ln(2)-4))^4*exp(ln(3*x^2)-3)^2","A"
656,1,35,24,0.233000," ","int(((-x^2*ln(5)+6*x+6)*exp(x)+(2*x^3-9*x^2)*ln(5)^2+(-24*x^2+108*x)*ln(5)+72*x-312)/(x^2*ln(5)^2-12*x*ln(5)+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3} \ln \left(5\right)+52 x +\left(-9 \ln \left(5\right)-6\right) x^{2}-{\mathrm e}^{x} x}{x \ln \left(5\right)-6}$&$35$\\ risch&$x^{2}-9 x -\frac{12}{\ln \left(5\right) \left(x \ln \left(5\right)-6\right)}-\frac{x \,{\mathrm e}^{x}}{x \ln \left(5\right)-6}$&$35$\\ default&$-\frac{12}{\ln \left(5\right) \left(x \ln \left(5\right)-6\right)}-\frac{6 \,{\mathrm e}^{x}}{\ln \left(5\right)^{2} \left(x -\frac{6}{\ln \left(5\right)}\right)}-9 x +x^{2}-\frac{{\mathrm e}^{x}}{\ln \left(5\right)}$&$48$\\ \hline \end{longtable}"," ",0,"(x^3*ln(5)+52*x+(-9*ln(5)-6)*x^2-exp(x)*x)/(x*ln(5)-6)","A"
657,1,9,17,0.018000," ","int(-2*exp(x)-10,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \,{\mathrm e}^{x}-10 x$&$9$\\ norman&$-2 \,{\mathrm e}^{x}-10 x$&$9$\\ risch&$-2 \,{\mathrm e}^{x}-10 x$&$9$\\ derivativedivides&$-2 \,{\mathrm e}^{x}-10 \ln \left({\mathrm e}^{x}\right)$&$11$\\ \hline \end{longtable}"," ",0,"-2*exp(x)-10*x","A"
658,1,28,19,0.173000," ","int((2*x^5+4*x^4-4*x^3-8*x^2+6*x+4)*exp((x^4+4*x^3-x^2-4*x-2)/(x^2-1))/(x^4-2*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{x^{4}+4 x^{3}-x^{2}-4 x -2}{x^{2}-1}}$&$28$\\ risch&${\mathrm e}^{\frac{x^{4}+4 x^{3}-x^{2}-4 x -2}{\left(x -1\right) \left(x +1\right)}}$&$31$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{x^{4}+4 x^{3}-x^{2}-4 x -2}{x^{2}-1}}-{\mathrm e}^{\frac{x^{4}+4 x^{3}-x^{2}-4 x -2}{x^{2}-1}}}{x^{2}-1}$&$70$\\ \hline \end{longtable}"," ",0,"exp((x^4+4*x^3-x^2-4*x-2)/(x^2-1))","A"
659,1,244,31,0.789000," ","int(((-4*x*ln(x)-4*x^2+20*x-12)*ln(x^2)+(8*x*ln(2)+4*x)*ln(x)+2*(4*x^2-20*x+12)*ln(2)+3*x^2-21*x+15)/(2*x^2*ln(x)^2+(4*x^3-20*x^2+12*x)*ln(x)+2*x^4-20*x^3+62*x^2-60*x+18)/exp(ln(x^2)^2+(-4*ln(2)-2)*ln(x^2)+4*ln(2)^2+4*ln(2)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{5} x^{8 \ln \left(2\right)} x^{-4 i \pi  \,\mathrm{csgn}\left(i x \right)} 2^{4 i \pi  \,\mathrm{csgn}\left(i x \right)} 2^{-4 i \pi  \,\mathrm{csgn}\left(i x^{2}\right)} x^{4 i \pi  \,\mathrm{csgn}\left(i x^{2}\right)} {\mathrm e}^{-4 \ln \left(x \right)^{2}-1+\frac{\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}}{4}-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{5} \mathrm{csgn}\left(i x \right)+\frac{3 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}}{2}-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)^{3}+\frac{\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{4}}{4}-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-4 \ln \left(2\right)^{2}}}{32 x \ln \left(x \right)+32 x^{2}-160 x +96}$&$244$\\ \hline \end{longtable}"," ",0,"1/32*x^5/(x*ln(x)+x^2-5*x+3)/(x^(-8*ln(2)))/(x^(4*I*Pi*csgn(I*x)))/(2^(-4*I*Pi*csgn(I*x)))/(2^(2*I*Pi*csgn(I*x^2)))^2/(x^(-2*I*Pi*csgn(I*x^2)))^2*exp(-4*ln(x)^2-1+1/4*Pi^2*csgn(I*x^2)^6-Pi^2*csgn(I*x^2)^5*csgn(I*x)+3/2*Pi^2*csgn(I*x^2)^4*csgn(I*x)^2-Pi^2*csgn(I*x^2)^3*csgn(I*x)^3+1/4*Pi^2*csgn(I*x^2)^2*csgn(I*x)^4-I*Pi*csgn(I*x^2)*csgn(I*x)^2+2*I*Pi*csgn(I*x^2)^2*csgn(I*x)-I*Pi*csgn(I*x^2)^3-4*ln(2)^2)","C"
660,1,17,18,0.028000," ","int(exp(x+16)+3*x^2-2*x+11/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{11 x}{3}-x^{2}+x^{3}+{\mathrm e}^{x +16}$&$17$\\ norman&$\frac{11 x}{3}-x^{2}+x^{3}+{\mathrm e}^{x +16}$&$17$\\ risch&$\frac{11 x}{3}-x^{2}+x^{3}+{\mathrm e}^{x +16}$&$17$\\ derivativedivides&$\frac{107 x}{3}+\frac{1712}{3}-\left(x +16\right)^{2}+x^{3}+{\mathrm e}^{x +16}$&$20$\\ \hline \end{longtable}"," ",0,"11/3*x-x^2+x^3+exp(x+16)","A"
661,1,21,25,0.045000," ","int(((-144*x+96)*exp(x)+9)/(512*exp(x)^2+(-144*x+16)*exp(x)+9*x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \ln \left(\frac{1}{32}-\frac{3 x}{32}+{\mathrm e}^{x}\right)-3 \ln \left(-\frac{3 x}{16}+{\mathrm e}^{x}\right)$&$21$\\ norman&$-3 \ln \left(3 x -16 \,{\mathrm e}^{x}\right)+3 \ln \left(3 x -32 \,{\mathrm e}^{x}-1\right)$&$25$\\ \hline \end{longtable}"," ",0,"3*ln(1/32-3/32*x+exp(x))-3*ln(-3/16*x+exp(x))","A"
662,1,26,18,0.065000," ","int(1/8*((2*x-1)*exp(x)^2*ln(x)^2+2*exp(x)^2*ln(x)+(1-2*x)*exp(1)*exp(x)^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{2 x} \ln \left(x \right)^{2}}{8 x}-\frac{{\mathrm e}^{2 x +1}}{8 x}$&$26$\\ risch&$\frac{{\mathrm e}^{2 x} \ln \left(x \right)^{2}}{8 x}-\frac{{\mathrm e}^{2 x +1}}{8 x}$&$26$\\ \hline \end{longtable}"," ",0,"1/8*exp(2*x)*ln(x)^2/x-1/8*exp(2*x+1)/x","A"
663,1,21,21,0.201000," ","int((5*exp(5)^4+8*x^3-81*x^2+210*x+110)/(4*x^2-40*x+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-\frac{x}{4}-\frac{135+5 \,{\mathrm e}^{20}}{4 \left(x -5\right)}$&$21$\\ norman&$\frac{x^{3}-\frac{21 x^{2}}{4}-\frac{55}{2}-\frac{5 \,{\mathrm e}^{20}}{4}}{x -5}$&$23$\\ risch&$x^{2}-\frac{x}{4}-\frac{5 \,{\mathrm e}^{20}}{4 \left(x -5\right)}-\frac{135}{4 \left(x -5\right)}$&$24$\\ gosper&$-\frac{5 \,{\mathrm e}^{20}-4 x^{3}+21 x^{2}+110}{4 \left(x -5\right)}$&$26$\\ meijerg&$\frac{58 x}{5 \left(1-\frac{x}{5}\right)}+\frac{x \,{\mathrm e}^{20}}{-4 x +20}+\frac{5 x \left(-\frac{2}{25} x^{2}-\frac{6}{5} x +12\right)}{2 \left(1-\frac{x}{5}\right)}-\frac{27 x \left(-\frac{3 x}{5}+6\right)}{4 \left(1-\frac{x}{5}\right)}$&$59$\\ \hline \end{longtable}"," ",0,"x^2-1/4*x-1/4*(135+5*exp(20))/(x-5)","A"
664,1,46,27,0.457000," ","int(((2*exp(5)^2*ln(2)+(-2*x^2+8*x-8)*exp(5)^2+(4*x^2-8*x)*exp(5)-2*x^2)*ln((-exp(5)^2*ln(2)+(x^2-4*x+4)*exp(5)^2+(-2*x^2+4*x)*exp(5)+x^2)/exp(5)^2)+(4*x^2-10*x+4)*exp(5)^2+(-8*x^2+12*x-4)*exp(5)+4*x^2-2*x)/(exp(5)^2*ln(2)+(-x^2+4*x-4)*exp(5)^2+(2*x^2-4*x)*exp(5)-x^2)/ln((-exp(5)^2*ln(2)+(x^2-4*x+4)*exp(5)^2+(-2*x^2+4*x)*exp(5)+x^2)/exp(5)^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x -1}{\ln \left(\left(-{\mathrm e}^{10} \ln \left(2\right)+\left(x^{2}-4 x +4\right) {\mathrm e}^{10}+\left(-2 x^{2}+4 x \right) {\mathrm e}^{5}+x^{2}\right) {\mathrm e}^{-10}\right)}$&$46$\\ norman&$\frac{2 x -1}{\ln \left(\left(-{\mathrm e}^{10} \ln \left(2\right)+\left(x^{2}-4 x +4\right) {\mathrm e}^{10}+\left(-2 x^{2}+4 x \right) {\mathrm e}^{5}+x^{2}\right) {\mathrm e}^{-10}\right)}$&$52$\\ \hline \end{longtable}"," ",0,"(2*x-1)/ln((-exp(10)*ln(2)+(x^2-4*x+4)*exp(10)+(-2*x^2+4*x)*exp(5)+x^2)*exp(-10))","A"
665,1,31,24,0.126000," ","int(((x*exp(x)^2-exp(x)*x-2*x)*ln(x)*ln(ln(x))+((x*exp(1)-x^2+2*x)*exp(x)^2+(-x*exp(1)+x^2-3*x)*exp(x)-2*x*exp(1)+2*x^2-4*x)*ln(x)+exp(x))/(x*exp(x)*ln(x)*ln(ln(x))+(x*exp(1)-x^2+2*x)*exp(x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\left({\mathrm e}^{x} x -{\mathrm e}^{2 x}-2\right) {\mathrm e}^{-x}+\ln \left({\mathrm e}+\ln \left(\ln \left(x \right)\right)-x +2\right)$&$31$\\ \hline \end{longtable}"," ",0,"-(exp(x)*x-exp(2*x)-2)*exp(-x)+ln(exp(1)+ln(ln(x))-x+2)","A"
666,1,7,8,0.030000," ","int(-2/3*exp(2/3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{\frac{2 x}{3}}$&$7$\\ derivativedivides&$-{\mathrm e}^{\frac{2 x}{3}}$&$7$\\ default&$-{\mathrm e}^{\frac{2 x}{3}}$&$7$\\ norman&$-{\mathrm e}^{\frac{2 x}{3}}$&$7$\\ risch&$-{\mathrm e}^{\frac{2 x}{3}}$&$7$\\ meijerg&$1-{\mathrm e}^{\frac{2 x}{3}}$&$9$\\ \hline \end{longtable}"," ",0,"-exp(2/3*x)","A"
667,1,19,21,0.202000," ","int(((-x^2+5*x-4)*exp(x/(4*x-8))^2+2*(15*x^2-60*x+60)*ln(2))/(5*x^2-20*x+20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$6 x \ln \left(2\right)-\frac{x \,{\mathrm e}^{\frac{x}{2 x -4}}}{5}$&$19$\\ derivativedivides&$-\frac{{\mathrm e}^{\frac{1}{2}+\frac{1}{x -2}} \left(x -2\right)}{5}+6 \left(x -2\right) \ln \left(2\right)-\frac{2 \,{\mathrm e}^{\frac{1}{2}+\frac{1}{x -2}}}{5}$&$40$\\ default&$-\frac{{\mathrm e}^{\frac{1}{2}+\frac{1}{x -2}} \left(x -2\right)}{5}+6 \left(x -2\right) \ln \left(2\right)-\frac{2 \,{\mathrm e}^{\frac{1}{2}+\frac{1}{x -2}}}{5}$&$40$\\ norman&$\frac{\frac{2 x \,{\mathrm e}^{\frac{2 x}{4 x -8}}}{5}-\frac{x^{2} {\mathrm e}^{\frac{2 x}{4 x -8}}}{5}+6 x^{2} \ln \left(2\right)-24 \ln \left(2\right)}{x -2}$&$51$\\ \hline \end{longtable}"," ",0,"6*x*ln(2)-1/5*x*exp(1/2*x/(x-2))","A"
668,1,16,26,0.098000," ","int((ln(5)*ln(x^2)*exp(ln(5)*ln(x))-2*x*ln(x^2)+2)/x/ln(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x +{\mathrm e}^{\ln \left(5\right) \ln \left(x \right)}+\ln \left(\ln \left(x^{2}\right)\right)$&$16$\\ norman&$-2 x +{\mathrm e}^{\ln \left(5\right) \ln \left(x \right)}+\ln \left(\ln \left(x^{2}\right)\right)$&$16$\\ risch&$-2 x +\ln \left(\ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(\mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{4}\right)+x^{\ln \left(5\right)}$&$55$\\ \hline \end{longtable}"," ",0,"-2*x+exp(ln(5)*ln(x))+ln(ln(x^2))","A"
669,1,11,10,0.051000," ","int(2*ln(-1/3*x*exp(5)+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(-\frac{x \,{\mathrm e}^{5}}{3}+x \right)^{2}$&$11$\\ risch&$\ln \left(-\frac{x \,{\mathrm e}^{5}}{3}+x \right)^{2}$&$11$\\ derivativedivides&$\ln \left(\left(-\frac{{\mathrm e}^{5}}{3}+1\right) x \right)^{2}$&$12$\\ default&$\ln \left(\left(-\frac{{\mathrm e}^{5}}{3}+1\right) x \right)^{2}$&$12$\\ \hline \end{longtable}"," ",0,"ln(-1/3*x*exp(5)+x)^2","A"
670,1,40,25,0.045000," ","int(((-2*x^2-16*x-32)*ln(x)^3+4*x*exp(ln(3)-1)*ln(x)+(-x^2-4*x)*exp(ln(3)-1))*exp(((-x-4)*ln(x)^3+(25*x+100)*ln(x)+x*exp(ln(3)-1))/(4+x)/ln(x))/(x^3+8*x^2+16*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-x \ln \left(x \right)^{3}-4 \ln \left(x \right)^{3}+25 x \ln \left(x \right)+3 \,{\mathrm e}^{-1} x +100 \ln \left(x \right)}{\left(4+x \right) \ln \left(x \right)}}$&$40$\\ \hline \end{longtable}"," ",0,"exp((-x*ln(x)^3-4*ln(x)^3+25*x*ln(x)+3*exp(-1)*x+100*ln(x))/(4+x)/ln(x))","A"
671,1,20,24,0.283000," ","int(((5*x+3)*(ln(2)+I*Pi)+4*x^2+2*x)*exp((-ln(2)-I*Pi-x)/(4*x^5+8*x^4+4*x^3))/(4*x^7+12*x^6+12*x^5+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{i \pi +\ln \left(2\right)+x}{4 x^{3} \left(x +1\right)^{2}}}$&$20$\\ norman&$\frac{x^{3} {\mathrm e}^{\frac{-\ln \left(2\right)-i \pi -x}{4 x^{5}+8 x^{4}+4 x^{3}}}+x^{5} {\mathrm e}^{\frac{-\ln \left(2\right)-i \pi -x}{4 x^{5}+8 x^{4}+4 x^{3}}}+2 x^{4} {\mathrm e}^{\frac{-\ln \left(2\right)-i \pi -x}{4 x^{5}+8 x^{4}+4 x^{3}}}}{x^{3} \left(x +1\right)^{2}}$&$120$\\ \hline \end{longtable}"," ",0,"exp(-1/4*(I*Pi+ln(2)+x)/x^3/(x+1)^2)","A"
672,1,21,25,0.019000," ","int(1/3*(3*ln(x)-8*x^3-x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-1-\frac{x^{2}}{3}-\frac{4 x^{3}}{3}-\ln \left(x \right)}{x}$&$21$\\ default&$-\frac{\ln \left(x \right)}{x}-\frac{1}{x}-\frac{4 x^{2}}{3}-\frac{x}{3}$&$22$\\ risch&$-\frac{\ln \left(x \right)}{x}-\frac{4 x^{3}+x^{2}+3}{3 x}$&$24$\\ \hline \end{longtable}"," ",0,"(-1-1/3*x^2-4/3*x^3-ln(x))/x","A"
673,1,14,14,0.020000," ","int(1/4*(-x^2+x+1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{4}+\frac{\ln \left(x \right)}{4}-\frac{1}{4 x}$&$14$\\ risch&$-\frac{x}{4}+\frac{\ln \left(x \right)}{4}-\frac{1}{4 x}$&$14$\\ norman&$\frac{-\frac{1}{4}-\frac{x^{2}}{4}}{x}+\frac{\ln \left(x \right)}{4}$&$17$\\ \hline \end{longtable}"," ",0,"-1/4*x+1/4*ln(x)-1/4/x","A"
674,1,21,23,0.033000," ","int((6*x^4*exp(2*ln(2)+x^3+5)^2+5*exp(5/x)+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 \,{\mathrm e}^{2 x^{3}+10}+x -{\mathrm e}^{\frac{5}{x}}$&$21$\\ default&$x -{\mathrm e}^{\frac{5}{x}}+16 \,{\mathrm e}^{2 x^{3}} {\mathrm e}^{10}$&$23$\\ norman&$\frac{x^{2}+16 x \,{\mathrm e}^{2 x^{3}+10}-x \,{\mathrm e}^{\frac{5}{x}}}{x}$&$32$\\ \hline \end{longtable}"," ",0,"16*exp(2*x^3+10)+x-exp(5/x)","A"
675,1,143,31,0.207000," ","int((((-2*x^2+x+1)*ln(5)^2*ln(x-1)+(-x^2-x)*ln(5)^2+(8*x^2-4*x-4)*ln(5))*ln(x)*ln(ln(x)/x)+(((-2*x^2+x+1)*exp(7)-x^2+1)*ln(5)^2*ln(x-1)+(-x^2-x)*exp(7)*ln(5)^2+((8*x^2-4*x-4)*exp(7)+4*x^2-4)*ln(5))*ln(x)+(x^2-1)*ln(5)^2*ln(x-1)+(-4*x^2+4)*ln(5))/((x^5+x^4-x^3-x^2)*ln(5)^2*ln(x-1)^2+(-8*x^5-8*x^4+8*x^3+8*x^2)*ln(5)*ln(x-1)+16*x^5+16*x^4-16*x^3-16*x^2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(5\right) \ln \left(\ln \left(x \right)\right)}{\left(x +1\right) x \left(\ln \left(5\right) \ln \left(x -1\right)-4\right)}+\frac{\left(-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}+2 \,{\mathrm e}^{7}-2 \ln \left(x \right)\right) \ln \left(5\right)}{2 \left(x +1\right) x \left(\ln \left(5\right) \ln \left(x -1\right)-4\right)}$&$143$\\ \hline \end{longtable}"," ",0,"ln(5)/(x+1)/x/(ln(5)*ln(x-1)-4)*ln(ln(x))+1/2*(-I*Pi*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))+I*Pi*csgn(I/x)*csgn(I/x*ln(x))^2+I*Pi*csgn(I*ln(x))*csgn(I/x*ln(x))^2-I*Pi*csgn(I/x*ln(x))^3+2*exp(7)-2*ln(x))*ln(5)/(x+1)/x/(ln(5)*ln(x-1)-4)","C"
676,1,36,24,0.067000," ","int(1/3*((-x*exp(x)^3-4*x*ln(2)*exp(x)^2+(-4*x*ln(2)^2+3*x^2-3*x)*exp(x)-6*x*ln(2))*ln(x)-exp(x)^3+(-4*ln(2)-1)*exp(x)^2+(-4*ln(2)^2-4*ln(2)-3*x)*exp(x)-4*ln(2)^2-6*x*ln(2))/ln(x)^2/(x*exp(x)^4+(4*x*ln(2)+2*x)*exp(x)^3+(4*x*ln(2)^2+8*x*ln(2)+6*x^2+x)*exp(x)^2+(8*x*ln(2)^2+2*(6*x^2+2*x)*ln(2)+6*x^2)*exp(x)+4*x*ln(2)^2+12*x^2*ln(2)+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}+2 \ln \left(2\right)}{3 \left({\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} \ln \left(2\right)+{\mathrm e}^{x}+2 \ln \left(2\right)+3 x \right) \ln \left(x \right)}$&$36$\\ \hline \end{longtable}"," ",0,"1/3*(exp(x)+2*ln(2))/(exp(2*x)+2*exp(x)*ln(2)+exp(x)+2*ln(2)+3*x)/ln(x)","A"
677,1,38,25,0.353000," ","int((((20*x^2+5*x-25)*exp(3)+80*x^3-60*x^2-120*x+100)*ln((-exp(3)-4*x+4)/(x-1))+(40*x^4+35*x^3-85*x^2-25*x)*exp(3)+160*x^5-20*x^4-440*x^3+300*x^2)/((x-1)*exp(3)+4*x^2-8*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(10 x^{2}+25 x \right) \ln \left(\frac{-{\mathrm e}^{3}-4 x +4}{x -1}\right)+10 x^{4}+25 x^{3}$&$38$\\ norman&$25 x^{3}+10 x^{4}+25 x \ln \left(\frac{-{\mathrm e}^{3}-4 x +4}{x -1}\right)+10 x^{2} \ln \left(\frac{-{\mathrm e}^{3}-4 x +4}{x -1}\right)$&$52$\\ derivativedivides&${\mathrm e}^{3} \left(\frac{5 \,{\mathrm e}^{3} \ln \left(-\frac{{\mathrm e}^{3}}{x -1}\right)}{8}+\frac{5 x}{2}-\frac{5}{2}-\frac{5 \,{\mathrm e}^{-3} \ln \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right) \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right)^{2} \left(x -1\right)^{2}}{8}-5 \,{\mathrm e}^{-3} \ln \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right) \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right) \left(x -1\right)^{2}-\frac{45 \ln \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right) \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right) \left(x -1\right) {\mathrm e}^{-3}}{4}+\frac{5 \,{\mathrm e}^{-3} \ln \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right) {\mathrm e}^{6}}{8}-\frac{45 \ln \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right)}{4}+35 \,{\mathrm e}^{-3} \ln \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right)-\frac{5 \,{\mathrm e}^{-3} \ln \left(-\frac{{\mathrm e}^{3}}{x -1}\right) {\mathrm e}^{6}}{8}-\frac{5 \,{\mathrm e}^{-6} \left(x -1\right) {\mathrm e}^{6}}{2}+115 \left(x -1\right) {\mathrm e}^{-3}+135 \,{\mathrm e}^{-9} {\mathrm e}^{6} \left(x -1\right)^{2}+65 \,{\mathrm e}^{-12} {\mathrm e}^{9} \left(x -1\right)^{3}+10 \,{\mathrm e}^{-15} {\mathrm e}^{12} \left(x -1\right)^{4}\right)$&$254$\\ default&${\mathrm e}^{3} \left(\frac{5 \,{\mathrm e}^{3} \ln \left(-\frac{{\mathrm e}^{3}}{x -1}\right)}{8}+\frac{5 x}{2}-\frac{5}{2}-\frac{5 \,{\mathrm e}^{-3} \ln \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right) \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right)^{2} \left(x -1\right)^{2}}{8}-5 \,{\mathrm e}^{-3} \ln \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right) \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right) \left(x -1\right)^{2}-\frac{45 \ln \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right) \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right) \left(x -1\right) {\mathrm e}^{-3}}{4}+\frac{5 \,{\mathrm e}^{-3} \ln \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right) {\mathrm e}^{6}}{8}-\frac{45 \ln \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right)}{4}+35 \,{\mathrm e}^{-3} \ln \left(-4-\frac{{\mathrm e}^{3}}{x -1}\right)-\frac{5 \,{\mathrm e}^{-3} \ln \left(-\frac{{\mathrm e}^{3}}{x -1}\right) {\mathrm e}^{6}}{8}-\frac{5 \,{\mathrm e}^{-6} \left(x -1\right) {\mathrm e}^{6}}{2}+115 \left(x -1\right) {\mathrm e}^{-3}+135 \,{\mathrm e}^{-9} {\mathrm e}^{6} \left(x -1\right)^{2}+65 \,{\mathrm e}^{-12} {\mathrm e}^{9} \left(x -1\right)^{3}+10 \,{\mathrm e}^{-15} {\mathrm e}^{12} \left(x -1\right)^{4}\right)$&$254$\\ \hline \end{longtable}"," ",0,"(10*x^2+25*x)*ln((-exp(3)-4*x+4)/(x-1))+10*x^4+25*x^3","A"
678,1,27,17,0.235000," ","int((((3*x^2+6*x)*ln(19/(2+x))-3*x^2+x)*ln(x)+(3*x^2+5*x-2)*ln(19/(2+x)))/(4*x^2+8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(x \right) \ln \left(\frac{19}{2+x}\right)}{4}+\frac{3 \ln \left(x \right) \ln \left(\frac{19}{2+x}\right) x}{4}$&$27$\\ risch&$\left(-\frac{3 x \ln \left(x \right)}{4}+\frac{\ln \left(x \right)}{4}\right) \ln \left(2+x \right)+\frac{3 x \ln \left(x \right) \ln \left(19\right)}{4}-\frac{\ln \left(x \right) \ln \left(19\right)}{4}$&$30$\\ \hline \end{longtable}"," ",0,"-1/4*ln(x)*ln(19/(2+x))+3/4*ln(x)*ln(19/(2+x))*x","A"
679,1,26,25,0.114000," ","int(((-5*x+5)*exp(x-2)*exp(x)+(2*x-1)*exp(x-2)+5*x^2)/(exp(x-2)^2+10*x*exp(x-2)+25*x^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{-x}}{5}+\frac{25 x +{\mathrm e}^{-2}}{5 \,{\mathrm e}^{x -2}+25 x}$&$26$\\ norman&$\frac{\left(5 x \,{\mathrm e}^{2} {\mathrm e}^{x}-{\mathrm e}^{2} x \right) {\mathrm e}^{-x}}{5 \,{\mathrm e}^{2} x +{\mathrm e}^{x}}$&$29$\\ \hline \end{longtable}"," ",0,"-1/5*exp(-x)+1/5*(25*x+exp(-2))/(exp(x-2)+5*x)","A"
680,1,33,20,0.095000," ","int((4*x^9*exp(5)^2*exp(x)^5+(8*x^9+18*x^8)*exp(5)^2*exp(x)^4)*exp(exp(x))^2+(12*x^5*exp(5)*exp(x)^3+(24*x^5+60*x^4)*exp(5)*exp(x)^2)*exp(exp(x))+18,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{9} {\mathrm e}^{10+2 \,{\mathrm e}^{x}+4 x}+12 x^{5} {\mathrm e}^{{\mathrm e}^{x}+5+2 x}+18 x$&$33$\\ \hline \end{longtable}"," ",0,"2*x^9*exp(10+2*exp(x)+4*x)+12*x^5*exp(exp(x)+5+2*x)+18*x","A"
681,1,16,16,0.163000," ","int((10*exp(1)*ln(x*exp(1)+3)-15*x*exp(1)-45)/(x*exp(1)+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-15 x +5 \ln \left(x \,{\mathrm e}+3\right)^{2}$&$16$\\ risch&$-15 x +5 \ln \left(x \,{\mathrm e}+3\right)^{2}$&$16$\\ derivativedivides&$5 \,{\mathrm e}^{-1} \left({\mathrm e} \ln \left(x \,{\mathrm e}+3\right)^{2}-3 x \,{\mathrm e}-9\right)$&$26$\\ default&$5 \,{\mathrm e}^{-1} \left({\mathrm e} \ln \left(x \,{\mathrm e}+3\right)^{2}-3 x \,{\mathrm e}-9\right)$&$26$\\ \hline \end{longtable}"," ",0,"-15*x+5*ln(x*exp(1)+3)^2","A"
682,1,59,20,0.061000," ","int(((-2*x-1)*exp(2*x+32)+2*x+exp(3))*ln(x)+((-2*x-1)*exp(2)-8*x-5)*exp(2*x+32)+(exp(2)+5)*exp(3)+2*exp(2)*x+9*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2} \ln \left(x \right)+\left(4+{\mathrm e}^{2}\right) x^{2}+\left(4 \,{\mathrm e}^{3}+{\mathrm e}^{2} {\mathrm e}^{3}\right) x +x \,{\mathrm e}^{3} \ln \left(x \right)+\left(-{\mathrm e}^{2}-4\right) x \,{\mathrm e}^{2 x +32}-\ln \left(x \right) {\mathrm e}^{2 x +32} x$&$59$\\ risch&$x \,{\mathrm e}^{5}+4 x \,{\mathrm e}^{3}-x \,{\mathrm e}^{2 x +34}+x^{2} {\mathrm e}^{2}-\ln \left(x \right) {\mathrm e}^{2 x +32} x +x \,{\mathrm e}^{3} \ln \left(x \right)+x^{2} \ln \left(x \right)-4 \,{\mathrm e}^{2 x +32} x +4 x^{2}$&$63$\\ default&$\left({\mathrm e}^{2}+5\right) {\mathrm e}^{3} x -2 \,{\mathrm e}^{2 x +32} \left(2 x +32\right)+64 \,{\mathrm e}^{2 x +32}+\frac{31 \,{\mathrm e}^{2} {\mathrm e}^{2 x +32}}{2}-\frac{{\mathrm e}^{2} \left({\mathrm e}^{2 x +32} \left(2 x +32\right)-{\mathrm e}^{2 x +32}\right)}{2}+x^{2} \ln \left(x \right)+4 x^{2}+x \,{\mathrm e}^{3} \ln \left(x \right)-x \,{\mathrm e}^{3}-\ln \left(x \right) {\mathrm e}^{2 x +32} x +x^{2} {\mathrm e}^{2}$&$105$\\ \hline \end{longtable}"," ",0,"x^2*ln(x)+(4+exp(2))*x^2+(4*exp(3)+exp(2)*exp(3))*x+x*exp(3)*ln(x)+(-exp(2)-4)*x*exp(2*x+32)-ln(x)*exp(2*x+32)*x","B"
683,1,31,27,0.232000," ","int((-24*exp(x-4)^2+(-4*x^3+35*x^2+47*x+135)*exp(x-4)-114*x-189)/((192*x^3+144*x^2+36*x+3)*exp(x-4)^2+(-1152*x^3-864*x^2-216*x-18)*exp(x-4)+1728*x^3+1296*x^2+324*x+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-3 x +{\mathrm e}^{x -4}+\frac{x^{2}}{3}-3}{\left({\mathrm e}^{x -4}-3\right) \left(4 x +1\right)^{2}}$&$31$\\ risch&$\frac{1}{16 x^{2}+8 x +1}+\frac{x \left(x -9\right)}{3 \left(16 x^{2}+8 x +1\right) \left({\mathrm e}^{x -4}-3\right)}$&$40$\\ \hline \end{longtable}"," ",0,"(-3*x+exp(x-4)+1/3*x^2-3)/(exp(x-4)-3)/(4*x+1)^2","A"
684,1,21,25,0.042000," ","int((((x^5+6*x^4+9*x^3)*ln(x)^2+(4*x+9)*ln(x)+3+x)*exp(1/(x^4+3*x^3)/ln(x))+(-4*x^5-24*x^4-36*x^3)*ln(x)^2)/((x^5+6*x^4+9*x^3)*ln(x)^2*exp(1/(x^4+3*x^3)/ln(x))^2+(-8*x^5-48*x^4-72*x^3)*ln(x)^2*exp(1/(x^4+3*x^3)/ln(x))+(16*x^5+96*x^4+144*x^3)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{{\mathrm e}^{\frac{1}{x^{3} \ln \left(x \right) \left(3+x \right)}}-4}$&$21$\\ \hline \end{longtable}"," ",0,"x/(exp(1/x^3/ln(x)/(3+x))-4)","A"
685,1,23,23,0.102000," ","int((exp(4)*exp(exp(x)-3)-32*exp(x)^3+80*exp(x)^2-18*exp(x))/exp(4)/exp(exp(x)-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\left(32 \,{\mathrm e}^{2 x}-16 \,{\mathrm e}^{x}+2\right) {\mathrm e}^{-{\mathrm e}^{x}-1}$&$23$\\ norman&$\left(x \,{\mathrm e}^{{\mathrm e}^{x}-3}+2 \,{\mathrm e}^{-4}+32 \,{\mathrm e}^{-4} {\mathrm e}^{2 x}-16 \,{\mathrm e}^{x} {\mathrm e}^{-4}\right) {\mathrm e}^{-{\mathrm e}^{x}+3}$&$41$\\ derivativedivides&${\mathrm e}^{-4} \left({\mathrm e}^{4} \ln \left({\mathrm e}^{x}\right)+402 \,{\mathrm e}^{-{\mathrm e}^{x}+3}+208 \left({\mathrm e}^{x}-5\right) {\mathrm e}^{-{\mathrm e}^{x}+3}+32 \left(\left({\mathrm e}^{x}-3\right)^{2}-{\mathrm e}^{x}+11\right) {\mathrm e}^{-{\mathrm e}^{x}+3}\right)$&$56$\\ default&${\mathrm e}^{-4} \left({\mathrm e}^{4} \ln \left({\mathrm e}^{x}\right)+402 \,{\mathrm e}^{-{\mathrm e}^{x}+3}+208 \left({\mathrm e}^{x}-5\right) {\mathrm e}^{-{\mathrm e}^{x}+3}+32 \left(\left({\mathrm e}^{x}-3\right)^{2}-{\mathrm e}^{x}+11\right) {\mathrm e}^{-{\mathrm e}^{x}+3}\right)$&$56$\\ \hline \end{longtable}"," ",0,"x+(32*exp(2*x)-16*exp(x)+2)*exp(-exp(x)-1)","A"
686,1,57,21,0.225000," ","int((-9*ln(5*exp(x^2+x))^2-6*x^3-3*x^2)/((9*x^2-18*x+9)*ln(5*exp(x^2+x))^2+(-6*x^2+6*x)*ln(5*exp(x^2+x))+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x -1}+\frac{2 i x^{2}}{\left(x -1\right) \left(6 i x \ln \left(5\right)+6 i x \ln \left({\mathrm e}^{\left(x +1\right) x}\right)-6 i \ln \left(5\right)-2 i x -6 i \ln \left({\mathrm e}^{\left(x +1\right) x}\right)\right)}$&$57$\\ default&$-\frac{3 \left(-\frac{x}{9}-\frac{\ln \left(5 \,{\mathrm e}^{x^{2}+x}\right)}{3}\right)}{x^{3}+x \left(\ln \left(5 \,{\mathrm e}^{x^{2}+x}\right)-x^{2}-x \right)-\frac{x}{3}-\ln \left(5 \,{\mathrm e}^{x^{2}+x}\right)+x^{2}}$&$61$\\ \hline \end{longtable}"," ",0,"1/(x-1)+2*I*x^2/(x-1)/(6*I*x*ln(5)+6*I*x*ln(exp((x+1)*x))-6*I*ln(5)-2*I*x-6*I*ln(exp((x+1)*x)))","C"
687,1,18,26,0.025000," ","int(((4*x^3+4*x^2)*exp(x^2+2*x+3)-12)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{12}{x}+2 \,{\mathrm e}^{x^{2}+2 x +3}$&$18$\\ risch&$\frac{12}{x}+2 \,{\mathrm e}^{x^{2}+2 x +3}$&$18$\\ norman&$\frac{12+2 x \,{\mathrm e}^{x^{2}+2 x +3}}{x}$&$19$\\ \hline \end{longtable}"," ",0,"12/x+2*exp(x^2+2*x+3)","A"
688,1,16,18,0.029000," ","int((512*x^2*ln(x)+4*ln(3)+x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$256 \ln \left(x \right)^{2}-\frac{2 \ln \left(3\right)}{x^{2}}+x$&$16$\\ norman&$\frac{x^{3}+256 x^{2} \ln \left(x \right)^{2}-2 \ln \left(3\right)}{x^{2}}$&$22$\\ risch&$256 \ln \left(x \right)^{2}-\frac{-x^{3}+2 \ln \left(3\right)}{x^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"256*ln(x)^2-2/x^2*ln(3)+x","A"
689,1,47,29,0.179000," ","int((x^5-5*x^3-2*x^2+16*x+8)*exp(((-2*x^2+2*x+4)*ln(2)+x^3+3*x^2-8*x-8)/(2*x^2-2*x-4))/(2*x^4-4*x^3-6*x^2+8*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{2 x^{2} \ln \left(2\right)-x^{3}-2 x \ln \left(2\right)-3 x^{2}-4 \ln \left(2\right)+8 x +8}{2 \left(x^{2}-x -2\right)}} x$&$47$\\ risch&$x \,{\mathrm e}^{-\frac{2 x^{2} \ln \left(2\right)-x^{3}-2 x \ln \left(2\right)-3 x^{2}-4 \ln \left(2\right)+8 x +8}{2 \left(x +1\right) \left(x -2\right)}}$&$47$\\ norman&$\frac{x^{3} {\mathrm e}^{\frac{\left(-2 x^{2}+2 x +4\right) \ln \left(2\right)+x^{3}+3 x^{2}-8 x -8}{2 x^{2}-2 x -4}}-2 x \,{\mathrm e}^{\frac{\left(-2 x^{2}+2 x +4\right) \ln \left(2\right)+x^{3}+3 x^{2}-8 x -8}{2 x^{2}-2 x -4}}-x^{2} {\mathrm e}^{\frac{\left(-2 x^{2}+2 x +4\right) \ln \left(2\right)+x^{3}+3 x^{2}-8 x -8}{2 x^{2}-2 x -4}}}{x^{2}-x -2}$&$145$\\ \hline \end{longtable}"," ",0,"exp(-1/2*(2*x^2*ln(2)-x^3-2*x*ln(2)-3*x^2-4*ln(2)+8*x+8)/(x^2-x-2))*x","A"
690,0,0,25,0.021000," ","int((((-4*x+12)*ln(x^2)-4*x^2+12*x)*ln((6-2*x)/(ln(x^2)+x))^2+((4*x-12)*ln(x^2)+4*x^2-12*x)*ln((6-2*x)/(ln(x^2)+x))-4*x*ln(x^2)-4*x-24)/((x-3)*ln(x^2)+x^2-3*x)/ln((6-2*x)/(ln(x^2)+x))^2,x)","\[\int \frac{\left(\left(-4 x +12\right) \ln \left(x^{2}\right)-4 x^{2}+12 x \right) \ln \left(\frac{6-2 x}{\ln \left(x^{2}\right)+x}\right)^{2}+\left(\left(4 x -12\right) \ln \left(x^{2}\right)+4 x^{2}-12 x \right) \ln \left(\frac{6-2 x}{\ln \left(x^{2}\right)+x}\right)-4 x \ln \left(x^{2}\right)-4 x -24}{\left(\left(x -3\right) \ln \left(x^{2}\right)+x^{2}-3 x \right) \ln \left(\frac{6-2 x}{\ln \left(x^{2}\right)+x}\right)^{2}}\, dx\]"," ",0,"int((((-4*x+12)*ln(x^2)-4*x^2+12*x)*ln((6-2*x)/(ln(x^2)+x))^2+((4*x-12)*ln(x^2)+4*x^2-12*x)*ln((6-2*x)/(ln(x^2)+x))-4*x*ln(x^2)-4*x-24)/((x-3)*ln(x^2)+x^2-3*x)/ln((6-2*x)/(ln(x^2)+x))^2,x)","F"
691,1,11,14,0.174000," ","int(-18*x/(9*x^2-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\ln \left(9 x^{2}-1\right)$&$11$\\ default&$-\ln \left(9 x^{2}-1\right)$&$11$\\ meijerg&$-\ln \left(-9 x^{2}+1\right)$&$11$\\ risch&$-\ln \left(9 x^{2}-1\right)$&$11$\\ norman&$-\ln \left(3 x -1\right)-\ln \left(3 x +1\right)$&$18$\\ \hline \end{longtable}"," ",0,"-ln(9*x^2-1)","A"
692,1,40,28,0.044000," ","int((x^2*ln(5)+(171366*x^4-1827904*x^3+5483712*x^2-14623232)*ln(2)^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$57122 x^{3} \ln \left(2\right)^{2}-913952 x^{2} \ln \left(2\right)^{2}+5483712 x \ln \left(2\right)^{2}+x \ln \left(5\right)+\frac{14623232 \ln \left(2\right)^{2}}{x}$&$40$\\ risch&$57122 x^{3} \ln \left(2\right)^{2}-913952 x^{2} \ln \left(2\right)^{2}+5483712 x \ln \left(2\right)^{2}+x \ln \left(5\right)+\frac{14623232 \ln \left(2\right)^{2}}{x}$&$40$\\ norman&$\frac{57122 x^{4} \ln \left(2\right)^{2}-913952 x^{3} \ln \left(2\right)^{2}+\left(5483712 \ln \left(2\right)^{2}+\ln \left(5\right)\right) x^{2}+14623232 \ln \left(2\right)^{2}}{x}$&$43$\\ gosper&$\frac{57122 x^{4} \ln \left(2\right)^{2}-913952 x^{3} \ln \left(2\right)^{2}+5483712 x^{2} \ln \left(2\right)^{2}+x^{2} \ln \left(5\right)+14623232 \ln \left(2\right)^{2}}{x}$&$45$\\ \hline \end{longtable}"," ",0,"57122*x^3*ln(2)^2-913952*x^2*ln(2)^2+5483712*x*ln(2)^2+x*ln(5)+14623232*ln(2)^2/x","A"
693,1,28,25,0.048000," ","int((((2*x^2-5*x-2)*exp(x^2-5*x+9)-2*x)*ln(x)^2+(2*exp(x^2-5*x+9)-2*x^2+4*x)*ln(x))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x^{2}-2 x -{\mathrm e}^{x^{2}-5 x +9}\right) \ln \left(x \right)^{2}}{x^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"-(x^2-2*x-exp(x^2-5*x+9))/x^2*ln(x)^2","A"
694,1,41,23,0.164000," ","int(((-5*x^2+21*x-4)*ln(324/(x^2-8*x+16))^2+(-20*x+80)*ln(324/(x^2-8*x+16))+8)/((5*x^2-20*x)*ln(324/(x^2-8*x+16))^2+(20*x-80)*ln(324/(x^2-8*x+16))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -\frac{\ln \left(\ln \left(\frac{324}{x^{2}-8 x +16}\right)\right)}{5}+\frac{\ln \left(\ln \left(\frac{324}{x^{2}-8 x +16}\right) x +4\right)}{5}$&$41$\\ risch&$-x +\frac{\ln \left(x \right)}{5}-\frac{\ln \left(\ln \left(\frac{324}{x^{2}-8 x +16}\right)\right)}{5}+\frac{\ln \left(\ln \left(\frac{324}{x^{2}-8 x +16}\right)+\frac{4}{x}\right)}{5}$&$47$\\ \hline \end{longtable}"," ",0,"-x-1/5*ln(ln(324/(x^2-8*x+16)))+1/5*ln(ln(324/(x^2-8*x+16))*x+4)","A"
695,1,34,29,0.117000," ","int((((x^4+5*x^3+5*x^2-8*x-12)*exp(2)+2*x^4+8*x^3+6*x^2-8*x-12)*exp(x)-x^6-10*x^5-37*x^4-60*x^3-36*x^2)/(x^6+10*x^5+37*x^4+60*x^3+36*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{\left({\mathrm e}^{2} x +2 \,{\mathrm e}^{2}+2 x +2\right) {\mathrm e}^{x}}{x \left(x^{2}+5 x +6\right)}$&$34$\\ norman&$\frac{19 x^{2}+30 x +\left(2 \,{\mathrm e}^{2}+2\right) {\mathrm e}^{x}+\left({\mathrm e}^{2}+2\right) x \,{\mathrm e}^{x}-x^{4}}{x \left(x^{2}+5 x +6\right)}$&$46$\\ default&${\mathrm e}^{2} \left(8 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -x -2\right)-\frac{4 \,{\mathrm e}^{x}}{2+x}-\frac{9 \,{\mathrm e}^{x}}{3+x}-21 \,{\mathrm e}^{-3} \expIntegralEi \left(1, -3-x \right)\right)-x +\frac{{\mathrm e}^{x}}{2+x}-\frac{4 \,{\mathrm e}^{x}}{3 \left(3+x \right)}+\frac{{\mathrm e}^{x}}{3 x}-12 \,{\mathrm e}^{2} \left(\frac{\expIntegralEi \left(1, -x \right)}{54}-\frac{{\mathrm e}^{x}}{4 \left(2+x \right)}-\frac{{\mathrm e}^{x}}{9 \left(3+x \right)}-\frac{11 \,{\mathrm e}^{-3} \expIntegralEi \left(1, -3-x \right)}{27}-\frac{{\mathrm e}^{x}}{36 x}\right)-8 \,{\mathrm e}^{2} \left(-\frac{\expIntegralEi \left(1, -x \right)}{36}-\frac{{\mathrm e}^{-2} \expIntegralEi \left(1, -x -2\right)}{4}+\frac{{\mathrm e}^{x}}{2 x +4}+\frac{{\mathrm e}^{x}}{3 x +9}+\frac{10 \,{\mathrm e}^{-3} \expIntegralEi \left(1, -3-x \right)}{9}\right)+5 \,{\mathrm e}^{2} \left({\mathrm e}^{-2} \expIntegralEi \left(1, -x -2\right)-\frac{{\mathrm e}^{x}}{2+x}-\frac{{\mathrm e}^{x}}{3+x}-3 \,{\mathrm e}^{-3} \expIntegralEi \left(1, -3-x \right)\right)+5 \,{\mathrm e}^{2} \left(-3 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -x -2\right)+\frac{2 \,{\mathrm e}^{x}}{2+x}+\frac{3 \,{\mathrm e}^{x}}{3+x}+8 \,{\mathrm e}^{-3} \expIntegralEi \left(1, -3-x \right)\right)$&$262$\\ \hline \end{longtable}"," ",0,"-x+(exp(2)*x+2*exp(2)+2*x+2)/x/(x^2+5*x+6)*exp(x)","A"
696,1,87,32,0.043000," ","int(((-ln(3)^2-10*ln(3)-25)*ln(x)*ln(ln(x))+((-4*x+1)*ln(3)^2+(-40*x+10)*ln(3)+5*x^4-120*x^3+969*x^2-3040*x+2426)*ln(x)-ln(3)^2-10*ln(3)-25)/(ln(3)^2+10*ln(3)+25)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{2426 x -10 \ln \left(\ln \left(x \right)\right) \ln \left(3\right) x -20 x^{2} \ln \left(3\right)+10 x \ln \left(3\right)-x \ln \left(3\right)^{2} \ln \left(\ln \left(x \right)\right)-2 x^{2} \ln \left(3\right)^{2}+x \ln \left(3\right)^{2}-1520 x^{2}+323 x^{3}-30 x^{4}+x^{5}-25 x \ln \left(\ln \left(x \right)\right)}{\ln \left(3\right)^{2}+10 \ln \left(3\right)+25}$&$87$\\ risch&$-x \ln \left(\ln \left(x \right)\right)+\frac{x^{5}}{\ln \left(3\right)^{2}+10 \ln \left(3\right)+25}-\frac{2 x^{2} \ln \left(3\right)^{2}}{\ln \left(3\right)^{2}+10 \ln \left(3\right)+25}-\frac{30 x^{4}}{\ln \left(3\right)^{2}+10 \ln \left(3\right)+25}+\frac{x \ln \left(3\right)^{2}}{\ln \left(3\right)^{2}+10 \ln \left(3\right)+25}-\frac{20 x^{2} \ln \left(3\right)}{\ln \left(3\right)^{2}+10 \ln \left(3\right)+25}+\frac{323 x^{3}}{\ln \left(3\right)^{2}+10 \ln \left(3\right)+25}+\frac{10 x \ln \left(3\right)}{\ln \left(3\right)^{2}+10 \ln \left(3\right)+25}-\frac{1520 x^{2}}{\ln \left(3\right)^{2}+10 \ln \left(3\right)+25}+\frac{2426 x}{\ln \left(3\right)^{2}+10 \ln \left(3\right)+25}$&$165$\\ \hline \end{longtable}"," ",0,"1/(ln(3)^2+10*ln(3)+25)*(2426*x-10*ln(ln(x))*ln(3)*x-20*x^2*ln(3)+10*x*ln(3)-x*ln(3)^2*ln(ln(x))-2*x^2*ln(3)^2+x*ln(3)^2-1520*x^2+323*x^3-30*x^4+x^5-25*x*ln(ln(x)))","B"
697,1,27,25,0.047000," ","int((((3*x*ln(x)-3*x)*ln(ln(x))+3*ln(x)^2+(-3*x-3)*ln(x)+3*x)*ln(3*x*ln(ln(x))+3*ln(x)-3*x)+(-3*x*ln(x)-3*x^2)*ln(ln(x))-3*ln(x)+3*x^2-3*x)/((x*ln(x)^2*ln(ln(x))+ln(x)^3-x*ln(x)^2)*ln(3*x*ln(ln(x))+3*ln(x)-3*x)^2+(2*x^2*ln(x)^2*ln(ln(x))+2*x*ln(x)^3-2*x^2*ln(x)^2)*ln(3*x*ln(ln(x))+3*ln(x)-3*x)+x^3*ln(x)^2*ln(ln(x))+x^2*ln(x)^3-x^3*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x}{\ln \left(x \right) \left(\ln \left(3 x \ln \left(\ln \left(x \right)\right)+3 \ln \left(x \right)-3 x \right)+x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"3*x/ln(x)/(ln(3*x*ln(ln(x))+3*ln(x)-3*x)+x)","A"
698,1,139,30,0.298000," ","int((((-x^3-x^2-5*x)*ln(x)^2*ln(x^6+2*x^5+11*x^4+10*x^3+25*x^2)+(-6*x^3-3*x^2-9*x+5)*ln(x)^2)*exp(x*ln(x^6+2*x^5+11*x^4+10*x^3+25*x^2))+(-x^4-x^3-5*x^2)*ln(x)+x^4+x^3+5*x^2)*exp(x*ln(x)/(ln(x)*exp(x*ln(x^6+2*x^5+11*x^4+10*x^3+25*x^2))+x^2))/((x^2+x+5)*ln(x)^2*exp(x*ln(x^6+2*x^5+11*x^4+10*x^3+25*x^2))^2+(2*x^4+2*x^3+10*x^2)*ln(x)*exp(x*ln(x^6+2*x^5+11*x^4+10*x^3+25*x^2))+x^6+x^5+5*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\frac{x}{\ln \left(x \right) {\mathrm e}^{-\frac{x \left(i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+x +5\right)^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+x +5\right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+x +5\right)^{2}\right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \left(x^{2}+x +5\right)^{2}\right)+i \pi  \,\mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right)+i \pi  \,\mathrm{csgn}\left(i x^{2} \left(x^{2}+x +5\right)^{2}\right)-4 \ln \left(x \right)-4 \ln \left(x^{2}+x +5\right)\right)}{2}}+x^{2}}}$&$139$\\ \hline \end{longtable}"," ",0,"x^(x/(ln(x)*exp(-1/2*x*(I*Pi*csgn(I*(x^2+x+5)^2)-2*I*Pi*csgn(I*(x^2+x+5))+I*Pi*csgn(I*(x^2+x+5)^2)*csgn(I*x^2)*csgn(I*x^2*(x^2+x+5)^2)+I*Pi*csgn(I*x^2)-2*I*Pi*csgn(I*x)+I*Pi*csgn(I*x^2*(x^2+x+5)^2)-4*ln(x)-4*ln(x^2+x+5)))+x^2))","C"
699,1,108,23,0.058000," ","int(2*x*ln(x)^2+((-2*x^2+4*x)*exp(2-x)-8*x^3+18*x^2+6*x)*ln(x)+(-2*x^2+2*x)*exp(2-x)^2+(2*x^4-14*x^3+16*x^2+6*x)*exp(2-x)+6*x^5-30*x^4+26*x^3+24*x^2+4*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{6}-2 x^{4} \ln \left(x \right)-2 \,{\mathrm e}^{2-x} x^{4}-6 x^{5}+x^{2} \ln \left(x \right)^{2}+2 \ln \left(x \right) {\mathrm e}^{2-x} x^{2}+6 x^{3} \ln \left(x \right)+{\mathrm e}^{4-2 x} x^{2}+6 x^{3} {\mathrm e}^{2-x}+7 x^{4}+2 x^{2} \ln \left(x \right)+2 x^{2} {\mathrm e}^{2-x}+6 x^{3}+x^{2}$&$108$\\ default&$-2 x^{4} \ln \left(x \right)+7 x^{4}+6 x^{3} \ln \left(x \right)+6 x^{3}+2 x^{2} \ln \left(x \right)+x^{2}+2 x \,{\mathrm e}^{2-x}+2 \ln \left(x \right) {\mathrm e}^{2-x} x^{2}+20 \,{\mathrm e}^{2-x}+4 \,{\mathrm e}^{4-2 x}-4 \left(2-x \right) {\mathrm e}^{4-2 x}+{\mathrm e}^{4-2 x} \left(2-x \right)^{2}-2 \,{\mathrm e}^{2-x} \left(2-x \right)^{4}+10 \left(2-x \right)^{3} {\mathrm e}^{2-x}-10 \left(2-x \right)^{2} {\mathrm e}^{2-x}-14 \,{\mathrm e}^{2-x} \left(2-x \right)-6 x^{5}+x^{6}+x^{2} \ln \left(x \right)^{2}$&$181$\\ \hline \end{longtable}"," ",0,"x^6-2*x^4*ln(x)-2*exp(2-x)*x^4-6*x^5+x^2*ln(x)^2+2*ln(x)*exp(2-x)*x^2+6*x^3*ln(x)+exp(4-2*x)*x^2+6*x^3*exp(2-x)+7*x^4+2*x^2*ln(x)+2*x^2*exp(2-x)+6*x^3+x^2","B"
700,1,147,32,0.243000," ","int(((2*x^4-2*x^3+8*x^2)*ln(5)*ln(-1/4*x^3+1/4*x^2-x)*ln(ln(-1/4*x^3+1/4*x^2-x))+((-3*x^4+2*x^3-4*x^2)*ln(5)+12*x^2-8*x+16)*ln(x^2*ln(5)-4)+(-2*x^4+2*x^3-8*x^2)*ln(5)*ln(-1/4*x^3+1/4*x^2-x))/((x^5-x^4+4*x^3)*ln(5)-4*x^3+4*x^2-16*x)/ln(-1/4*x^3+1/4*x^2-x)/ln(x^2*ln(5)-4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(-2 \ln \left(2\right)+i \pi +\ln \left(x \right)+\ln \left(x^{2}-x +4\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}-x +4\right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}-x +4\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}-x +4\right)\right)+\mathrm{csgn}\left(i \left(x^{2}-x +4\right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(i x \left(x^{2}-x +4\right)\right)^{2} \left(\mathrm{csgn}\left(i x \left(x^{2}-x +4\right)\right)-1\right)\right)}{\ln \left(x^{2} \ln \left(5\right)-4\right)}+\frac{1}{\ln \left(x^{2} \ln \left(5\right)-4\right)}$&$147$\\ \hline \end{longtable}"," ",0,"-1/ln(x^2*ln(5)-4)*ln(-2*ln(2)+I*Pi+ln(x)+ln(x^2-x+4)-1/2*I*Pi*csgn(I*x*(x^2-x+4))*(-csgn(I*x*(x^2-x+4))+csgn(I*x))*(-csgn(I*x*(x^2-x+4))+csgn(I*(x^2-x+4)))+I*Pi*csgn(I*x*(x^2-x+4))^2*(csgn(I*x*(x^2-x+4))-1))+1/ln(x^2*ln(5)-4)","C"
701,1,29,21,0.067000," ","int((250*x^4+100*x^3)*exp(5*x-6)^2+(250*x^5+250*x^4)*exp(5*x-6)+150*x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x^{6}+25 x^{4} {\mathrm e}^{10 x -12}+50 x^{5} {\mathrm e}^{5 x -6}$&$29$\\ norman&$25 x^{6}+25 x^{4} {\mathrm e}^{10 x -12}+50 x^{5} {\mathrm e}^{5 x -6}$&$31$\\ derivativedivides&$25 x^{6}+\frac{1296 \,{\mathrm e}^{10 x -12}}{25}+\frac{864 \,{\mathrm e}^{10 x -12} \left(5 x -6\right)}{25}+\frac{216 \,{\mathrm e}^{10 x -12} \left(5 x -6\right)^{2}}{25}+\frac{24 \,{\mathrm e}^{10 x -12} \left(5 x -6\right)^{3}}{25}+\frac{{\mathrm e}^{10 x -12} \left(5 x -6\right)^{4}}{25}+\frac{2592 \,{\mathrm e}^{5 x -6} \left(5 x -6\right)}{25}+\frac{15552 \,{\mathrm e}^{5 x -6}}{125}+\frac{864 \,{\mathrm e}^{5 x -6} \left(5 x -6\right)^{2}}{25}+\frac{144 \,{\mathrm e}^{5 x -6} \left(5 x -6\right)^{3}}{25}+\frac{12 \,{\mathrm e}^{5 x -6} \left(5 x -6\right)^{4}}{25}+\frac{2 \,{\mathrm e}^{5 x -6} \left(5 x -6\right)^{5}}{125}$&$164$\\ default&$25 x^{6}+\frac{1296 \,{\mathrm e}^{10 x -12}}{25}+\frac{864 \,{\mathrm e}^{10 x -12} \left(5 x -6\right)}{25}+\frac{216 \,{\mathrm e}^{10 x -12} \left(5 x -6\right)^{2}}{25}+\frac{24 \,{\mathrm e}^{10 x -12} \left(5 x -6\right)^{3}}{25}+\frac{{\mathrm e}^{10 x -12} \left(5 x -6\right)^{4}}{25}+\frac{2592 \,{\mathrm e}^{5 x -6} \left(5 x -6\right)}{25}+\frac{15552 \,{\mathrm e}^{5 x -6}}{125}+\frac{864 \,{\mathrm e}^{5 x -6} \left(5 x -6\right)^{2}}{25}+\frac{144 \,{\mathrm e}^{5 x -6} \left(5 x -6\right)^{3}}{25}+\frac{12 \,{\mathrm e}^{5 x -6} \left(5 x -6\right)^{4}}{25}+\frac{2 \,{\mathrm e}^{5 x -6} \left(5 x -6\right)^{5}}{125}$&$164$\\ \hline \end{longtable}"," ",0,"25*x^6+25*x^4*exp(10*x-12)+50*x^5*exp(5*x-6)","A"
702,1,85,33,0.893000," ","int(((x^4*exp(4)+x^4)*ln(3)^2*exp(x)^2+((-2*x^2*exp(4)-2*x^2)*ln(3)^2+(-2*x^3*exp(4)-2*x^3)*ln(3)+3*x^3+3*x^2)*exp(x)+(exp(4)+1)*ln(3)^2+(2*x*exp(4)+2*x)*ln(3)+x^2*exp(4)+x^2+3)/(((x^5*exp(4)+x^5-x^4)*ln(3)^2-3*x^4*ln(3))*exp(x)^2+((-2*x^3*exp(4)-2*x^3+2*x^2)*ln(3)^2+(-2*x^4*exp(4)-2*x^4+2*x^3+6*x^2)*ln(3)+3*x^3)*exp(x)+(x*exp(4)+x-1)*ln(3)^2+(2*x^2*exp(4)+2*x^2-2*x-3)*ln(3)+x^3*exp(4)+x^3-x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x^{2} \ln \left(3\right) {\mathrm e}^{x}-\ln \left(3\right)-x \right)+\ln \left({\mathrm e}^{4} {\mathrm e}^{x} \ln \left(3\right) x^{3}+{\mathrm e}^{x} \ln \left(3\right) x^{3}-x^{2} \ln \left(3\right) {\mathrm e}^{x}-{\mathrm e}^{4} x \ln \left(3\right)-x^{2} {\mathrm e}^{4}-3 \,{\mathrm e}^{x} x^{2}-x \ln \left(3\right)-x^{2}+\ln \left(3\right)+x +3\right)$&$85$\\ risch&$\ln \left(\left({\mathrm e}^{4} \ln \left(3\right)+\ln \left(3\right)\right) x -\ln \left(3\right)-3\right)+\ln \left({\mathrm e}^{x}-\frac{{\mathrm e}^{4} x \ln \left(3\right)+x^{2} {\mathrm e}^{4}+x \ln \left(3\right)+x^{2}-\ln \left(3\right)-x -3}{x^{2} \left({\mathrm e}^{4} x \ln \left(3\right)+x \ln \left(3\right)-\ln \left(3\right)-3\right)}\right)-\ln \left({\mathrm e}^{x}-\frac{\ln \left(3\right)+x}{\ln \left(3\right) x^{2}}\right)$&$93$\\ \hline \end{longtable}"," ",0,"-ln(x^2*ln(3)*exp(x)-ln(3)-x)+ln(exp(4)*exp(x)*ln(3)*x^3+exp(x)*ln(3)*x^3-x^2*ln(3)*exp(x)-exp(4)*x*ln(3)-x^2*exp(4)-3*exp(x)*x^2-x*ln(3)-x^2+ln(3)+x+3)","B"
703,1,594,45,0.364000," ","int((((-27*x^9+243*x^8-783*x^7+972*x^6-972*x^4+783*x^3-243*x^2+27*x)*exp(5)-27*x^11+486*x^10-3780*x^9+16605*x^8-45225*x^7+79056*x^6-89208*x^5+64395*x^4-29295*x^3+8100*x^2-1242*x+81)*ln(x)^3+((-27*x^8+162*x^7-270*x^6+270*x^4-162*x^3+27*x^2)*exp(5)^2+(162*x^9-1755*x^8+7614*x^7-16929*x^6+20655*x^5-14013*x^4+5265*x^3-1026*x^2+81*x)*exp(5)+27*x^12-486*x^11+3780*x^10-16605*x^9+45225*x^8-79056*x^7+89208*x^6-64395*x^5+29295*x^4-8100*x^3+1242*x^2-81*x)*ln(x)^2+((-9*x^7+27*x^6-27*x^4+9*x^3)*exp(5)^3+(9*x^9-333*x^7+1215*x^6-1665*x^5+999*x^4-270*x^3+27*x^2)*exp(5)^2+(9*x^11-189*x^10+1143*x^9-2808*x^8+2934*x^7-3078*x^6+9081*x^5-13797*x^4+9027*x^3-2646*x^2+288*x)*exp(5)-9*x^13+162*x^12-1548*x^11+10719*x^10-55395*x^9+203472*x^8-512136*x^7+864729*x^6-961317*x^5+689580*x^4-312894*x^3+86427*x^2-13248*x+864)*ln(x)+(-x^6+x^4)*exp(5)^4+(2*x^8-29*x^6+48*x^5-22*x^4+3*x^3)*exp(5)^3+(-18*x^9+45*x^8+171*x^7-435*x^6-315*x^5+1047*x^4-585*x^3+96*x^2)*exp(5)^2+(-2*x^12+36*x^11-253*x^10+1494*x^9-8121*x^8+29295*x^7-61691*x^6+74007*x^5-49936*x^4+18729*x^3-3648*x^2+288*x)*exp(5)+x^14-18*x^13+236*x^12-2343*x^11+15115*x^10-61968*x^9+164104*x^8-283473*x^7+318269*x^6-229260*x^5+104206*x^4-28803*x^3+4416*x^2-288*x)/(64*x^11-960*x^10+6080*x^9-21120*x^8+43840*x^7-55872*x^6+43840*x^5-21120*x^4+6080*x^3-960*x^2+64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{81 \ln \left(x \right)^{4}}{256}+\frac{27 x \left(-x^{2}+{\mathrm e}^{5}+3 x -1\right) \ln \left(x \right)^{3}}{64 \left(x^{2}-3 x +1\right)}+\frac{27 \left(x^{6}-2 x^{4} {\mathrm e}^{5}-6 x^{5}+x^{2} {\mathrm e}^{10}+6 x^{3} {\mathrm e}^{5}+43 x^{4}-2 x^{2} {\mathrm e}^{5}-198 x^{3}+353 x^{2}-192 x +32\right) \ln \left(x \right)^{2}}{128 \left(x^{2}-3 x +1\right)^{2}}+\frac{3 \left(-x^{9}+3 x^{7} {\mathrm e}^{5}+9 x^{8}-3 x^{5} {\mathrm e}^{10}-27 x^{6} {\mathrm e}^{5}-126 x^{7}+x^{3} {\mathrm e}^{15}+9 x^{4} {\mathrm e}^{10}+210 x^{5} {\mathrm e}^{5}+909 x^{6}-3 x^{3} {\mathrm e}^{10}-864 x^{4} {\mathrm e}^{5}-2910 x^{5}+1464 x^{3} {\mathrm e}^{5}+4329 x^{4}-846 x^{2} {\mathrm e}^{5}-2881 x^{3}+177 x \,{\mathrm e}^{5}+864 x^{2}-9 \,{\mathrm e}^{5}-96 x \right) \ln \left(x \right)}{64 \left(x^{2}-3 x +1\right) \left(x^{4}-6 x^{3}+11 x^{2}-6 x +1\right)}+\frac{72 x \,{\mathrm e}^{10}-6 \,{\mathrm e}^{10}-12 x^{11}+x^{12}-4992 x \,{\mathrm e}^{5}-27792 x^{7}+11331 x^{8}+250 x^{10}-2448 x^{9}+416 \,{\mathrm e}^{5}+37498 x^{6}-27660 x^{5}+11137 x^{4}-2304 x^{3}+192 x^{2}-1356 x^{7} {\mathrm e}^{5}+23744 x^{2} {\mathrm e}^{5}-42588 x^{5} {\mathrm e}^{5}-88 x^{8} {\mathrm e}^{5}+69596 x^{4} {\mathrm e}^{5}-56448 x^{3} {\mathrm e}^{5}+108 \ln \left(-x \right) {\mathrm e}^{5}+12488 x^{6} {\mathrm e}^{5}-288 x^{3} {\mathrm e}^{10}-4 \,{\mathrm e}^{5} x^{10}+36 \,{\mathrm e}^{5} x^{9}-1296 \,{\mathrm e}^{5} \ln \left(-x \right) x^{7}+6264 \,{\mathrm e}^{5} \ln \left(-x \right) x^{6}-15552 \,{\mathrm e}^{5} \ln \left(-x \right) x^{5}+21060 \,{\mathrm e}^{5} \ln \left(-x \right) x^{4}-15552 \,{\mathrm e}^{5} \ln \left(-x \right) x^{3}+6264 \,{\mathrm e}^{5} \ln \left(-x \right) x^{2}-1296 \,{\mathrm e}^{5} \ln \left(-x \right) x +108 \,{\mathrm e}^{5} \ln \left(-x \right) x^{8}-90 x^{6} {\mathrm e}^{10}-4 x^{4} {\mathrm e}^{15}+36 \,{\mathrm e}^{10} x^{7}+x^{4} {\mathrm e}^{20}+12 x^{5} {\mathrm e}^{15}-156 x^{2} {\mathrm e}^{10}-324 x^{5} {\mathrm e}^{10}+948 x^{4} {\mathrm e}^{10}-4 x^{6} {\mathrm e}^{15}}{256 \left(x^{4}-6 x^{3}+11 x^{2}-6 x +1\right) \left(x^{2}-3 x +1\right)^{2}}$&$594$\\ \hline \end{longtable}"," ",0,"81/256*ln(x)^4+27/64*x*(-x^2+exp(5)+3*x-1)/(x^2-3*x+1)*ln(x)^3+27/128*(x^6-2*x^4*exp(5)-6*x^5+x^2*exp(10)+6*x^3*exp(5)+43*x^4-2*x^2*exp(5)-198*x^3+353*x^2-192*x+32)/(x^2-3*x+1)^2*ln(x)^2+3/64*(-x^9+3*x^7*exp(5)+9*x^8-3*x^5*exp(10)-27*x^6*exp(5)-126*x^7+x^3*exp(15)+9*x^4*exp(10)+210*x^5*exp(5)+909*x^6-3*x^3*exp(10)-864*x^4*exp(5)-2910*x^5+1464*x^3*exp(5)+4329*x^4-846*x^2*exp(5)-2881*x^3+177*x*exp(5)+864*x^2-9*exp(5)-96*x)/(x^2-3*x+1)/(x^4-6*x^3+11*x^2-6*x+1)*ln(x)+1/256*(72*x*exp(10)-6*exp(10)-12*x^11+x^12-4992*x*exp(5)-27792*x^7+11331*x^8+250*x^10-2448*x^9+416*exp(5)+37498*x^6-27660*x^5+11137*x^4-2304*x^3+192*x^2-1356*x^7*exp(5)+23744*x^2*exp(5)-42588*x^5*exp(5)-88*x^8*exp(5)+69596*x^4*exp(5)-56448*x^3*exp(5)+108*ln(-x)*exp(5)+12488*x^6*exp(5)-288*x^3*exp(10)-4*exp(5)*x^10+36*exp(5)*x^9-1296*exp(5)*ln(-x)*x^7+6264*exp(5)*ln(-x)*x^6-15552*exp(5)*ln(-x)*x^5+21060*exp(5)*ln(-x)*x^4-15552*exp(5)*ln(-x)*x^3+6264*exp(5)*ln(-x)*x^2-1296*exp(5)*ln(-x)*x+108*exp(5)*ln(-x)*x^8-90*x^6*exp(10)-4*x^4*exp(15)+36*exp(10)*x^7+x^4*exp(20)+12*x^5*exp(15)-156*x^2*exp(10)-324*x^5*exp(10)+948*x^4*exp(10)-4*x^6*exp(15))/(x^4-6*x^3+11*x^2-6*x+1)/(x^2-3*x+1)^2","B"
704,1,14,18,0.201000," ","int((-3*exp(5)-x^2+6*x-9)/(x^2-6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\frac{3 \,{\mathrm e}^{5}}{x -3}$&$14$\\ risch&$-x +\frac{3 \,{\mathrm e}^{5}}{x -3}$&$14$\\ gosper&$\frac{-x^{2}+3 \,{\mathrm e}^{5}+9}{x -3}$&$18$\\ meijerg&$\frac{x}{1-\frac{x}{3}}-\frac{{\mathrm e}^{5} x}{3 \left(1-\frac{x}{3}\right)}-\frac{x \left(-x +6\right)}{3 \left(1-\frac{x}{3}\right)}$&$38$\\ \hline \end{longtable}"," ",0,"-x+3/(x-3)*exp(5)","A"
705,1,17,18,0.247000," ","int(((6*x+9)*ln(x)+6*exp(4)+6*x+9)/((2*x+3)*exp(4)*ln(x+3/2)+(2*x^2+3*x)*ln(x)-2*x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$3 \ln \left({\mathrm e}^{4} \ln \left(x +\frac{3}{2}\right)+x \ln \left(x \right)-1\right)$&$17$\\ risch&$3 \ln \left(\ln \left(x +\frac{3}{2}\right)+\left(x \ln \left(x \right)-1\right) {\mathrm e}^{-4}\right)$&$18$\\ \hline \end{longtable}"," ",0,"3*ln(exp(4)*ln(x+3/2)+x*ln(x)-1)","A"
706,1,15,12,0.040000," ","int(6*x^2*ln(2)+4*x^3-5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{4}+2 x^{3} \ln \left(2\right)-5 x$&$15$\\ default&$x^{4}+2 x^{3} \ln \left(2\right)-5 x$&$15$\\ norman&$x^{4}+2 x^{3} \ln \left(2\right)-5 x$&$15$\\ risch&$x^{4}+2 x^{3} \ln \left(2\right)-5 x$&$15$\\ \hline \end{longtable}"," ",0,"x^4+2*x^3*ln(2)-5*x","A"
707,1,18,22,0.105000," ","int(((x^2-8*x+11)*exp(x)+4*x-12)*exp((exp(x)-2)/(3*x^2-18*x+15))/(3*x^4-36*x^3+138*x^2-180*x+75),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{x}-2}{3 \left(x -1\right) \left(x -5\right)}}$&$18$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{{\mathrm e}^{x}-2}{3 x^{2}-18 x +15}}-6 x \,{\mathrm e}^{\frac{{\mathrm e}^{x}-2}{3 x^{2}-18 x +15}}+5 \,{\mathrm e}^{\frac{{\mathrm e}^{x}-2}{3 x^{2}-18 x +15}}}{x^{2}-6 x +5}$&$76$\\ \hline \end{longtable}"," ",0,"exp(1/3*(exp(x)-2)/(x-1)/(x-5))","A"
708,1,29,24,0.216000," ","int(((-x^8*ln(5)^2+x^4*ln(5)-2)*ln(x)+4*x^9*ln(5)^2+16*x^5*ln(5)+16*x)/(2*x^10*ln(5)^2+8*x^6*ln(5)+8*x^2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(\ln \left(x \right)\right)+\frac{1}{4 x}+\frac{x^{3} \ln \left(5\right)}{4 x^{4} \ln \left(5\right)+8}$&$29$\\ norman&$\frac{\frac{1}{2}+\frac{x^{4} \ln \left(5\right)}{2}}{x \left(x^{4} \ln \left(5\right)+2\right)}+2 \ln \left(\ln \left(x \right)\right)$&$30$\\ risch&$\frac{x^{4} \ln \left(5\right)+1}{2 \left(x^{4} \ln \left(5\right)+2\right) x}+2 \ln \left(\ln \left(x \right)\right)$&$30$\\ \hline \end{longtable}"," ",0,"2*ln(ln(x))+1/4/x+1/4*ln(5)*x^3/(x^4*ln(5)+2)","A"
709,1,28,29,0.187000," ","int((10*exp(x)^2+((9*x^3-24*x^2+15*x)*exp(2)+20*x^2-100)*exp(x)+(9*x^4-15*x^3+45*x^2-75*x)*exp(2)+10*x^4-100*x^2+250)/((18*x^2-30*x)*exp(x)^2+(36*x^4-60*x^3-180*x^2+300*x)*exp(x)+18*x^6-30*x^5-180*x^4+300*x^3+450*x^2-750*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{{\mathrm e}^{2} x}{2 \left(x^{2}+{\mathrm e}^{x}-5\right)}-\frac{\ln \left(x \right)}{3}+\frac{\ln \left(3 x -5\right)}{3}$&$28$\\ risch&$-\frac{{\mathrm e}^{2} x}{2 \left(x^{2}+{\mathrm e}^{x}-5\right)}-\frac{\ln \left(x \right)}{3}+\frac{\ln \left(3 x -5\right)}{3}$&$28$\\ \hline \end{longtable}"," ",0,"-1/2*exp(2)*x/(x^2+exp(x)-5)-1/3*ln(x)+1/3*ln(3*x-5)","A"
710,1,161,30,0.283000," ","int(((5*x*ln(5)+5*x^2+25*x)*ln(x*ln(5)+x^2+5*x)+((8*x^4-28*x^3+12*x^2-5*x)*ln(5)+8*x^5+12*x^4-128*x^3+55*x^2-25*x)*exp(x^2)^2+(-2*x^2+7*x-3)*ln(5)-4*x^3+4*x^2+29*x-15)/((x^3-6*x^2+9*x)*ln(5)+x^4-x^3-21*x^2+45*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \ln \left(x +\ln \left(5\right)+5\right)}{x -3}-\frac{-5 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x +\ln \left(5\right)+5\right)\right) \mathrm{csgn}\left(i x \left(x +\ln \left(5\right)+5\right)\right)+5 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x +\ln \left(5\right)+5\right)\right)^{2}+5 i \pi  \,\mathrm{csgn}\left(i \left(x +\ln \left(5\right)+5\right)\right) \mathrm{csgn}\left(i x \left(x +\ln \left(5\right)+5\right)\right)^{2}-5 i \pi  \mathrm{csgn}\left(i x \left(x +\ln \left(5\right)+5\right)\right)^{3}-4 x \,{\mathrm e}^{2 x^{2}}+4 \ln \left(x^{2}+\left(5+\ln \left(5\right)\right) x \right) x +2 \,{\mathrm e}^{2 x^{2}}-12 \ln \left(x^{2}+\left(5+\ln \left(5\right)\right) x \right)+10 \ln \left(x \right)}{2 \left(x -3\right)}$&$161$\\ \hline \end{longtable}"," ",0,"-5/(x-3)*ln(x+ln(5)+5)-1/2*(-5*I*Pi*csgn(I*x)*csgn(I*(x+ln(5)+5))*csgn(I*x*(x+ln(5)+5))+5*I*Pi*csgn(I*x)*csgn(I*x*(x+ln(5)+5))^2+5*I*Pi*csgn(I*(x+ln(5)+5))*csgn(I*x*(x+ln(5)+5))^2-5*I*Pi*csgn(I*x*(x+ln(5)+5))^3-4*x*exp(2*x^2)+4*ln(x^2+(5+ln(5))*x)*x+2*exp(2*x^2)-12*ln(x^2+(5+ln(5))*x)+10*ln(x))/(x-3)","C"
711,1,33,28,0.143000," ","int((-10*exp(5)^2*exp(x)^2-30*exp(5)^2*exp(x)-15*x^2-90*x-75)/(exp(5)^4*exp(x)^4+12*exp(5)^4*exp(x)^3+(54*exp(5)^4+(2*x^3+18*x^2+30*x)*exp(5)^2)*exp(x)^2+(108*exp(5)^4+(12*x^3+108*x^2+180*x)*exp(5)^2)*exp(x)+81*exp(5)^4+(18*x^3+162*x^2+270*x)*exp(5)^2+x^6+18*x^5+111*x^4+270*x^3+225*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{{\mathrm e}^{2 x +10}+6 \,{\mathrm e}^{x +10}+x^{3}+9 \,{\mathrm e}^{10}+9 x^{2}+15 x}$&$33$\\ \hline \end{longtable}"," ",0,"5/(exp(2*x+10)+6*exp(x+10)+x^3+9*exp(10)+9*x^2+15*x)","A"
712,1,21,16,0.030000," ","int((exp(1)*ln(x)+(-2*x+7)*exp(1)-2*x)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+x \ln \left(x \right)+6 x -x^{2} {\mathrm e}^{-1}$&$21$\\ norman&$x \ln \left(x \right)+6 x -\left(1+{\mathrm e}\right) {\mathrm e}^{-1} x^{2}$&$22$\\ default&${\mathrm e}^{-1} \left({\mathrm e} \left(-x^{2}+7 x \right)+x \,{\mathrm e} \ln \left(x \right)-x \,{\mathrm e}-x^{2}\right)$&$35$\\ \hline \end{longtable}"," ",0,"-x^2+x*ln(x)+6*x-x^2*exp(-1)","A"
713,1,17,17,0.032000," ","int(1/22*(-8*x^2*ln(x)^2-11)*exp(1/22*(-4*x^2*ln(x)+11)/ln(x))/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{-4 x^{2} \ln \left(x \right)+11}{22 \ln \left(x \right)}}$&$17$\\ risch&${\mathrm e}^{-\frac{4 x^{2} \ln \left(x \right)-11}{22 \ln \left(x \right)}}$&$17$\\ \hline \end{longtable}"," ",0,"exp(1/22*(-4*x^2*ln(x)+11)/ln(x))","A"
714,1,25,19,0.204000," ","int(((16*x^2*exp(4)-68*x^2)*exp(4*x/(4*exp(4)+4*x-17))*exp(exp(4*x/(4*exp(4)+4*x-17)))+((-16*x+16)*exp(4)^2+(-32*x^2+168*x-136)*exp(4)-16*x^3+152*x^2-425*x+289)*exp(x))/(16*x^2*exp(4)^2+(32*x^3-136*x^2)*exp(4)+16*x^4-136*x^3+289*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{x}}{x}+{\mathrm e}^{{\mathrm e}^{\frac{4 x}{4 \,{\mathrm e}^{4}+4 x -17}}}$&$25$\\ \hline \end{longtable}"," ",0,"-exp(x)/x+exp(exp(4*x/(4*exp(4)+4*x-17)))","A"
715,1,20,19,0.036000," ","int((((36*x^2+8*x-300)*exp(x)*ln(-9*x+25)+(72*x^2+16*x-600)*exp(x))*ln(ln(-9*x+25)+2)*ln(ln(ln(-9*x+25)+2))+(-36*x-72)*exp(x))/((9*x-25)*ln(-9*x+25)+18*x-50)/ln(ln(-9*x+25)+2)/ln(ln(ln(-9*x+25)+2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{x} \left(2+x \right)}{\ln \left(\ln \left(\ln \left(-9 x +25\right)+2\right)\right)}$&$20$\\ \hline \end{longtable}"," ",0,"4*exp(x)*(2+x)/ln(ln(ln(-9*x+25)+2))","A"
716,1,30,25,0.266000," ","int((((20*x+20)*ln(2)-40*x^2)*exp(x)+40*x*ln(2)-40*x^2)*exp((9*exp(x)*x-20*ln(2)+9*x^2+40*x)/(exp(x)*x+x^2))/(exp(x)^2*x^2+2*exp(x)*x^3+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{9 \,{\mathrm e}^{x} x -20 \ln \left(2\right)+9 x^{2}+40 x}{\left({\mathrm e}^{x}+x \right) x}}$&$30$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{9 \,{\mathrm e}^{x} x -20 \ln \left(2\right)+9 x^{2}+40 x}{{\mathrm e}^{x} x +x^{2}}}+{\mathrm e}^{x} x \,{\mathrm e}^{\frac{9 \,{\mathrm e}^{x} x -20 \ln \left(2\right)+9 x^{2}+40 x}{{\mathrm e}^{x} x +x^{2}}}}{\left({\mathrm e}^{x}+x \right) x}$&$80$\\ \hline \end{longtable}"," ",0,"exp((9*exp(x)*x-20*ln(2)+9*x^2+40*x)/(exp(x)+x)/x)","A"
717,1,29,28,0.167000," ","int(((x-2)*ln(3)*exp(x)*ln(9/exp(x))+(2-x)*ln(3)*exp(x)*ln(2*x)+(2*x-1)*ln(3)*exp(x))/(x^3*ln(9/exp(x))^2+(-2*x^3*ln(2*x)+2*x^3)*ln(9/exp(x))+x^3*ln(2*x)^2-2*x^3*ln(2*x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(3\right) {\mathrm e}^{x}}{x^{2} \left(2+4 \ln \left(3\right)-2 \ln \left(2 x \right)-2 \ln \left({\mathrm e}^{x}\right)\right)}$&$29$\\ \hline \end{longtable}"," ",0,"2/x^2*ln(3)*exp(x)/(2+4*ln(3)-2*ln(2*x)-2*ln(exp(x)))","A"
718,1,25,27,0.028000," ","int((2*x^5-6*x^4+4*x^3-9*x^2)*exp(x^2)+5*x^4-27*x^2+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{4}-3 x^{3}\right) {\mathrm e}^{x^{2}}+x^{5}-9 x^{3}+x$&$25$\\ default&$x +x^{4} {\mathrm e}^{x^{2}}-3 x^{3} {\mathrm e}^{x^{2}}-9 x^{3}+x^{5}$&$28$\\ norman&$x +x^{4} {\mathrm e}^{x^{2}}-3 x^{3} {\mathrm e}^{x^{2}}-9 x^{3}+x^{5}$&$28$\\ \hline \end{longtable}"," ",0,"(x^4-3*x^3)*exp(x^2)+x^5-9*x^3+x","A"
719,1,19,17,0.158000," ","int(((-x^3*exp(ln(x+1)-x)+x^3+2*x^2+x)*exp(exp(ln(x+1)-x)+x)+x+1)*exp(x*exp(exp(ln(x+1)-x)+x))/(x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x \,{\mathrm e}^{x \,{\mathrm e}^{-x}+{\mathrm e}^{-x}+x}} x$&$19$\\ \hline \end{longtable}"," ",0,"exp(x*exp(x*exp(-x)+exp(-x)+x))*x","A"
720,1,20,22,0.279000," ","int((2*((x+1)*exp(3)-2*x^2)*ln(20)-4*x-4)/(2*(x*exp(3)-2*x^2)*ln(20)-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\ln \left(\ln \left(20\right) {\mathrm e}^{3}-2 x \ln \left(20\right)-2\right)+\ln \left(x \right)$&$20$\\ default&$x -\ln \left(-\ln \left(20\right) {\mathrm e}^{3}+2 x \ln \left(20\right)+2\right)+\ln \left(x \right)$&$21$\\ risch&$x -\ln \left(\left(4 \ln \left(2\right)+2 \ln \left(5\right)\right) x -{\mathrm e}^{3} \ln \left(5\right)-2 \,{\mathrm e}^{3} \ln \left(2\right)+2\right)+\ln \left(-x \right)$&$35$\\ meijerg&$-\frac{\left(\ln \left(20\right) {\mathrm e}^{3}-2\right) \ln \left(1-\frac{2 x \ln \left(20\right)}{\ln \left(20\right) {\mathrm e}^{3}-2}\right)}{2 \ln \left(20\right)}-\frac{\left(\ln \left(20\right) {\mathrm e}^{3}-2\right)^{2} \left(-\frac{2 x \ln \left(20\right)}{\ln \left(20\right) {\mathrm e}^{3}-2}-\ln \left(1-\frac{2 x \ln \left(20\right)}{\ln \left(20\right) {\mathrm e}^{3}-2}\right)\right)}{\left(2 \ln \left(20\right) {\mathrm e}^{3}-4\right) \ln \left(20\right)}+\frac{2 \ln \left(20\right) {\mathrm e}^{3} \left(-\ln \left(1-\frac{2 x \ln \left(20\right)}{\ln \left(20\right) {\mathrm e}^{3}-2}\right)+\ln \left(x \right)+\ln \left(2\right)+\ln \left(\ln \left(20\right)\right)-\ln \left(\ln \left(20\right) {\mathrm e}^{3}-2\right)+i \pi \right)}{2 \ln \left(20\right) {\mathrm e}^{3}-4}-\frac{4 \left(-\ln \left(1-\frac{2 x \ln \left(20\right)}{\ln \left(20\right) {\mathrm e}^{3}-2}\right)+\ln \left(x \right)+\ln \left(2\right)+\ln \left(\ln \left(20\right)\right)-\ln \left(\ln \left(20\right) {\mathrm e}^{3}-2\right)+i \pi \right)}{2 \ln \left(20\right) {\mathrm e}^{3}-4}$&$201$\\ \hline \end{longtable}"," ",0,"x-ln(ln(20)*exp(3)-2*x*ln(20)-2)+ln(x)","A"
721,1,97,20,0.222000," ","int((ln(x)*ln(4*ln(x)*exp(exp(x^2)+x))*ln(4*ln(4*ln(x)*exp(exp(x^2)+x)))+(5+2*x)*ln(x)*ln(4*ln(x)*exp(exp(x^2)+x))+(2*x^2*exp(x^2)+x)*ln(x)+1)/ln(x)/ln(4*ln(x)*exp(exp(x^2)+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+x \ln \left(8 \ln \left(2\right)+4 \ln \left(\ln \left(x \right)\right)+4 \ln \left({\mathrm e}^{{\mathrm e}^{x^{2}}+x}\right)-2 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right) {\mathrm e}^{{\mathrm e}^{x^{2}}+x}\right) \left(-\mathrm{csgn}\left(i \ln \left(x \right) {\mathrm e}^{{\mathrm e}^{x^{2}}+x}\right)+\mathrm{csgn}\left(i \ln \left(x \right)\right)\right) \left(-\mathrm{csgn}\left(i \ln \left(x \right) {\mathrm e}^{{\mathrm e}^{x^{2}}+x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{x^{2}}+x}\right)\right)\right)+5 x$&$97$\\ \hline \end{longtable}"," ",0,"x^2+x*ln(8*ln(2)+4*ln(ln(x))+4*ln(exp(exp(x^2)+x))-2*I*Pi*csgn(I*ln(x)*exp(exp(x^2)+x))*(-csgn(I*ln(x)*exp(exp(x^2)+x))+csgn(I*ln(x)))*(-csgn(I*ln(x)*exp(exp(x^2)+x))+csgn(I*exp(exp(x^2)+x))))+5*x","C"
722,1,27,24,0.216000," ","int(((5*x^2-5*x-10)*ln(x^2-x-2)^2+((-5*x^2+5*x+10)*exp(x)-14*x^2+14*x+28)*ln(x^2-x-2)+(5*x^2+5*x-15)*exp(x)+17*x^2-33*x-8)/((5*x^2-5*x-10)*ln(x^2-x-2)^2+(-10*x^2+10*x+20)*ln(x^2-x-2)+5*x^2-5*x-10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{4 x +5 \,{\mathrm e}^{x}-10}{5 \left(\ln \left(x^{2}-x -2\right)-1\right)}$&$27$\\ norman&$\frac{2 \ln \left(x^{2}-x -2\right)+\ln \left(x^{2}-x -2\right) x -\frac{9 x}{5}-{\mathrm e}^{x}}{\ln \left(x^{2}-x -2\right)-1}$&$45$\\ default&$\frac{2 \ln \left(x^{2}-x -2\right)^{2}+\ln \left(x^{2}-x -2\right) x -\frac{9 x}{5}}{\ln \left(x^{2}-x -2\right)-1}-2 \ln \left(x -2\right)-2 \ln \left(x +1\right)-\frac{{\mathrm e}^{x}}{\ln \left(x^{2}-x -2\right)-1}$&$73$\\ \hline \end{longtable}"," ",0,"x-1/5*(4*x+5*exp(x)-10)/(ln(x^2-x-2)-1)","A"
723,1,20,21,0.146000," ","int((-2*x*ln(x)-2*x^3-10*x^2+8*x+5)/(x*exp(27/2)*ln(x)^2+(-2*x^3-6*x)*exp(27/2)*ln(x)+(x^5+6*x^3+9*x)*exp(27/2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(5+2 x \right) {\mathrm e}^{-\frac{27}{2}}}{3-\ln \left(x \right)+x^{2}}$&$20$\\ norman&$\frac{2 \,{\mathrm e}^{-\frac{27}{2}} x +5 \,{\mathrm e}^{-\frac{27}{2}}}{3-\ln \left(x \right)+x^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"(5+2*x)*exp(-27/2)/(3-ln(x)+x^2)","A"
724,1,16,15,0.047000," ","int((81*x^4-x^2+2*x)/exp(-27*x^3+x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{27 x^{3}-x +1} x^{2}$&$16$\\ norman&${\mathrm e}^{27 x^{3}-x +1} x^{2}$&$16$\\ risch&${\mathrm e}^{27 x^{3}-x +1} x^{2}$&$16$\\ \hline \end{longtable}"," ",0,"x^2/exp(-27*x^3+x-1)","A"
725,1,11,12,0.167000," ","int(-80*ln(3)/(20*x+61),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 \ln \left(3\right) \ln \left(20 x +61\right)$&$11$\\ norman&$-4 \ln \left(3\right) \ln \left(20 x +61\right)$&$11$\\ meijerg&$-4 \ln \left(3\right) \ln \left(1+\frac{20 x}{61}\right)$&$11$\\ risch&$-4 \ln \left(3\right) \ln \left(20 x +61\right)$&$11$\\ \hline \end{longtable}"," ",0,"-4*ln(3)*ln(20*x+61)","A"
726,1,25,20,0.168000," ","int(((-12*x^3+24*x^2)*ln(25/(x^4-4*x^3+4*x^2))+16*x^3-16*x^2)/(x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-4 x^{3} \ln \left(\frac{25}{x^{4}-4 x^{3}+4 x^{2}}\right)$&$25$\\ risch&$-4 x^{3} \ln \left(\frac{25}{x^{4}-4 x^{3}+4 x^{2}}\right)$&$25$\\ default&$-8 x^{3} \ln \left(5\right)-4 x^{3} \ln \left(\frac{1}{x^{2} \left(x^{2}-4 x +4\right)}\right)$&$29$\\ \hline \end{longtable}"," ",0,"-4*x^3*ln(25/(x^4-4*x^3+4*x^2))","A"
727,1,75,22,0.179000," ","int(((x^2-3*x-15)*ln(x)*ln(ln(x)^2)+(-x^3+2*x^2+20*x)*ln(x)+2*x-10)/((x^2-5*x)*ln(x)*ln(ln(x)^2)+(-x^3+5*x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\ln \left(x -5\right)+3 \ln \left(x \right)+\ln \left(\ln \left(\ln \left(x \right)\right)-\frac{i \left(\pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}-2 i x \right)}{4}\right)$&$75$\\ \hline \end{longtable}"," ",0,"x-ln(x-5)+3*ln(x)+ln(ln(ln(x))-1/4*I*(Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-2*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+Pi*csgn(I*ln(x)^2)^3-2*I*x))","C"
728,1,12,16,0.141000," ","int(((120*x+24)*ln(2)-120*x^2)*exp(ln(2)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-24-120 x \right) 2^{\frac{1}{x}}$&$12$\\ gosper&$-24 \,{\mathrm e}^{\frac{\ln \left(2\right)}{x}} \left(1+5 x \right)$&$15$\\ norman&$\frac{-24 x \,{\mathrm e}^{\frac{\ln \left(2\right)}{x}}-120 x^{2} {\mathrm e}^{\frac{\ln \left(2\right)}{x}}}{x}$&$28$\\ derivativedivides&$-\frac{24 \ln \left(2\right) {\mathrm e}^{\frac{\ln \left(2\right)}{x}}+120 \,{\mathrm e}^{\frac{\ln \left(2\right)}{x}} x \ln \left(2\right)}{\ln \left(2\right)}$&$31$\\ default&$-\frac{24 \ln \left(2\right) {\mathrm e}^{\frac{\ln \left(2\right)}{x}}+120 \,{\mathrm e}^{\frac{\ln \left(2\right)}{x}} x \ln \left(2\right)}{\ln \left(2\right)}$&$31$\\ meijerg&$-120 \ln \left(2\right) \left(-\ln \left(-\frac{\ln \left(2\right)}{x}\right)-\expIntegralEi \left(1, -\frac{\ln \left(2\right)}{x}\right)-\ln \left(x \right)+\ln \left(\ln \left(2\right)\right)+i \pi \right)+24-24 \,{\mathrm e}^{\frac{\ln \left(2\right)}{x}}-120 \ln \left(2\right) \left(-\frac{x \left(2+\frac{2 \ln \left(2\right)}{x}\right)}{2 \ln \left(2\right)}+\frac{x \,{\mathrm e}^{\frac{\ln \left(2\right)}{x}}}{\ln \left(2\right)}+\ln \left(-\frac{\ln \left(2\right)}{x}\right)+\expIntegralEi \left(1, -\frac{\ln \left(2\right)}{x}\right)+1+\ln \left(x \right)-\ln \left(\ln \left(2\right)\right)-i \pi +\frac{x}{\ln \left(2\right)}\right)$&$118$\\ \hline \end{longtable}"," ",0,"(-24-120*x)*2^(1/x)","A"
729,1,357,34,0.251000," ","int(((4*(-4*x^3-2*x^2)*ln(2)^2+2*(-200*x^3-100*x^2)*ln(2)-2500*x^3-1250*x^2)*ln(x)^2+(4*((8*x^3+4*x^2)*exp(1)+2*x^6+2*x^5+2*x^3+42*x^2+24*x)*ln(2)^2+2*((400*x^3+200*x^2)*exp(1)+100*x^6+100*x^5+100*x^3+2100*x^2+1200*x)*ln(2)+(5000*x^3+2500*x^2)*exp(1)+1250*x^6+1250*x^5+1250*x^3+26250*x^2+15000*x)*ln(x)+4*((-4*x^3-2*x^2)*exp(1)^2+(-2*x^6-2*x^5-2*x^3-42*x^2-24*x)*exp(1)+2*x^9+6*x^8+6*x^7-20*x^5-26*x^4-8*x^3-8*x^2-104*x-64)*ln(2)^2+2*((-200*x^3-100*x^2)*exp(1)^2+(-100*x^6-100*x^5-100*x^3-2100*x^2-1200*x)*exp(1)+100*x^9+300*x^8+300*x^7-1000*x^5-1300*x^4-400*x^3-400*x^2-5200*x-3200)*ln(2)+(-2500*x^3-1250*x^2)*exp(1)^2+(-1250*x^6-1250*x^5-1250*x^3-26250*x^2-15000*x)*exp(1)+1250*x^9+3750*x^8+3750*x^7-12500*x^5-16250*x^4-5000*x^3-5000*x^2-65000*x-40000)/(x^8+3*x^7+3*x^6+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(4 \ln \left(2\right)^{2}+100 \ln \left(2\right)+625\right) \ln \left(x \right)^{2}}{x^{2} \left(x^{2}+2 x +1\right)}-\frac{2 \left(4 x^{4} \ln \left(2\right)^{2}+4 x^{3} \ln \left(2\right)^{2}+100 x^{4} \ln \left(2\right)+4 \ln \left(2\right)^{2} {\mathrm e} x +100 x^{3} \ln \left(2\right)+625 x^{4}+100 x \,{\mathrm e} \ln \left(2\right)+625 x^{3}+625 x \,{\mathrm e}+16 \ln \left(2\right)^{2}+400 \ln \left(2\right)+2500\right) \ln \left(x \right)}{x^{3} \left(x^{2}+2 x +1\right)}+\frac{10000+800 x \,{\mathrm e} \ln \left(2\right)+4 x^{6} \ln \left(2\right)^{2}+32 \ln \left(2\right)^{2} {\mathrm e} x +64 \ln \left(2\right)^{2}+1250 x^{7}+625 x^{8}+1600 \ln \left(2\right)+625 x^{6}+5000 x^{4}+5000 x^{3}+100 x^{8} \ln \left(2\right)+1250 x^{5} {\mathrm e}+8 x^{7} \ln \left(2\right)^{2}+200 x^{7} \ln \left(2\right)+32 x^{4} \ln \left(2\right)^{2}+32 x^{3} \ln \left(2\right)^{2}+800 x^{4} \ln \left(2\right)+100 x^{6} \ln \left(2\right)+625 x^{2} {\mathrm e}^{2}+5000 x \,{\mathrm e}+800 x^{3} \ln \left(2\right)+1250 x^{4} {\mathrm e}+8 \,{\mathrm e} \ln \left(2\right)^{2} x^{4}+200 \,{\mathrm e} \ln \left(2\right) x^{5}+200 \,{\mathrm e} \ln \left(2\right) x^{4}+4 \ln \left(2\right)^{2} x^{8}+8 \,{\mathrm e} \ln \left(2\right)^{2} x^{5}+4 x^{2} {\mathrm e}^{2} \ln \left(2\right)^{2}+100 \,{\mathrm e}^{2} \ln \left(2\right) x^{2}}{x^{4} \left(x^{2}+2 x +1\right)}$&$357$\\ \hline \end{longtable}"," ",0,"(4*ln(2)^2+100*ln(2)+625)/x^2/(x^2+2*x+1)*ln(x)^2-2*(4*x^4*ln(2)^2+4*x^3*ln(2)^2+100*x^4*ln(2)+4*ln(2)^2*exp(1)*x+100*x^3*ln(2)+625*x^4+100*x*exp(1)*ln(2)+625*x^3+625*x*exp(1)+16*ln(2)^2+400*ln(2)+2500)/x^3/(x^2+2*x+1)*ln(x)+(10000+800*x*exp(1)*ln(2)+4*x^6*ln(2)^2+32*ln(2)^2*exp(1)*x+64*ln(2)^2+1250*x^7+625*x^8+1600*ln(2)+625*x^6+5000*x^4+5000*x^3+100*x^8*ln(2)+1250*x^5*exp(1)+8*x^7*ln(2)^2+200*x^7*ln(2)+32*x^4*ln(2)^2+32*x^3*ln(2)^2+800*x^4*ln(2)+100*x^6*ln(2)+625*x^2*exp(2)+5000*x*exp(1)+800*x^3*ln(2)+1250*x^4*exp(1)+8*exp(1)*ln(2)^2*x^4+200*exp(1)*ln(2)*x^5+200*exp(1)*ln(2)*x^4+4*ln(2)^2*x^8+8*exp(1)*ln(2)^2*x^5+4*x^2*exp(2)*ln(2)^2+100*exp(2)*ln(2)*x^2)/x^4/(x^2+2*x+1)","B"
730,1,191,26,0.150000," ","int((((16*x^4+176*x^3-1152*x^2+1984*x-1024)*ln(2)-80*x^2-1200*x+1280)*exp(5+x)*ln((x^3+12*x^2-60*x+64)*ln(2)-5*x-80)+((48*x^3+384*x^2-960*x)*ln(2)-80*x)*exp(5+x))/((x^5+12*x^4-60*x^3+64*x^2)*ln(2)-5*x^3-80*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 \,{\mathrm e}^{5+x} \ln \left(-5+\left(x^{2}-4 x +4\right) \ln \left(2\right)\right)}{x}+\frac{8 \,{\mathrm e}^{5+x} \left(-i \pi  \,\mathrm{csgn}\left(i \left(-5+\left(x^{2}-4 x +4\right) \ln \left(2\right)\right)\right) \mathrm{csgn}\left(i \left(x +16\right)\right) \mathrm{csgn}\left(i \left(-5+\left(x^{2}-4 x +4\right) \ln \left(2\right)\right) \left(x +16\right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(-5+\left(x^{2}-4 x +4\right) \ln \left(2\right)\right)\right) \mathrm{csgn}\left(i \left(-5+\left(x^{2}-4 x +4\right) \ln \left(2\right)\right) \left(x +16\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(x +16\right)\right) \mathrm{csgn}\left(i \left(-5+\left(x^{2}-4 x +4\right) \ln \left(2\right)\right) \left(x +16\right)\right)^{2}-i \pi  \mathrm{csgn}\left(i \left(-5+\left(x^{2}-4 x +4\right) \ln \left(2\right)\right) \left(x +16\right)\right)^{3}+2 \ln \left(x +16\right)\right)}{x}$&$191$\\ \hline \end{longtable}"," ",0,"16/x*exp(5+x)*ln(-5+(x^2-4*x+4)*ln(2))+8*exp(5+x)*(-I*Pi*csgn(I*(-5+(x^2-4*x+4)*ln(2)))*csgn(I*(x+16))*csgn(I*(-5+(x^2-4*x+4)*ln(2))*(x+16))+I*Pi*csgn(I*(-5+(x^2-4*x+4)*ln(2)))*csgn(I*(-5+(x^2-4*x+4)*ln(2))*(x+16))^2+I*Pi*csgn(I*(x+16))*csgn(I*(-5+(x^2-4*x+4)*ln(2))*(x+16))^2-I*Pi*csgn(I*(-5+(x^2-4*x+4)*ln(2))*(x+16))^3+2*ln(x+16))/x","C"
731,1,27,26,0.039000," ","int((-x^4+4*x^3-134*x^2+100*x-4065)/(x^5-7*x^4+146*x^3-742*x^2+5165*x-17875),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x^{2}-2 x +65\right)-\ln \left(x^{3}-5 x^{2}+71 x -275\right)$&$27$\\ norman&$\ln \left(x^{2}-2 x +65\right)-\ln \left(x^{3}-5 x^{2}+71 x -275\right)$&$27$\\ risch&$\ln \left(x^{2}-2 x +65\right)-\ln \left(x^{3}-5 x^{2}+71 x -275\right)$&$27$\\ \hline \end{longtable}"," ",0,"ln(x^2-2*x+65)-ln(x^3-5*x^2+71*x-275)","A"
732,1,21,30,0.035000," ","int((3*x^3-75*x+200)*ln(5)^2/(4*x^5-32*x^4+64*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(5\right)^{2} \left(-\frac{3 x^{2}}{4}+\frac{25}{4}\right)}{\left(x -4\right) x^{2}}$&$21$\\ gosper&$-\frac{\ln \left(5\right)^{2} \left(3 x^{2}-25\right)}{4 x^{2} \left(x -4\right)}$&$22$\\ default&$\frac{\ln \left(5\right)^{2} \left(-\frac{25}{4 x^{2}}-\frac{25}{16 x}-\frac{23}{16 \left(x -4\right)}\right)}{4}$&$25$\\ norman&$\frac{-\frac{3 x^{2} \ln \left(5\right)^{2}}{4}+\frac{25 \ln \left(5\right)^{2}}{4}}{\left(x -4\right) x^{2}}$&$26$\\ \hline \end{longtable}"," ",0,"ln(5)^2*(-3/4*x^2+25/4)/(x-4)/x^2","A"
733,1,11,20,0.028000," ","int((-2*exp(3)+x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)+\frac{2 \,{\mathrm e}^{3}}{x}$&$11$\\ norman&$\ln \left(x \right)+\frac{2 \,{\mathrm e}^{3}}{x}$&$11$\\ risch&$\ln \left(x \right)+\frac{2 \,{\mathrm e}^{3}}{x}$&$11$\\ \hline \end{longtable}"," ",0,"ln(x)+2*exp(3)/x","A"
734,1,27,29,0.071000," ","int((2*x*exp(x)^2+(23*x^3+7*x^2-88*x)*exp(x)+50*x^5+5*x^4-324*x^3+68*x^2+896*x)/(3*exp(x)^2+(30*x^2+6*x-96)*exp(x)+75*x^4+30*x^3-477*x^2-96*x+768),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{3}-\frac{x^{2} \left(4+x \right)}{5 x^{2}+{\mathrm e}^{x}+x -16}$&$27$\\ norman&$\frac{\frac{28 x}{15}+\frac{28 \,{\mathrm e}^{x}}{15}-\frac{2 x^{3}}{3}+\frac{5 x^{4}}{3}+\frac{{\mathrm e}^{x} x^{2}}{3}-\frac{448}{15}}{5 x^{2}+{\mathrm e}^{x}+x -16}$&$40$\\ \hline \end{longtable}"," ",0,"1/3*x^2-x^2*(4+x)/(5*x^2+exp(x)+x-16)","A"
735,1,18,21,0.034000," ","int(((-9*exp(x+15)-18)*ln(exp(x+15)+2)^2+18*x*exp(x+15)*ln(exp(x+15)+2)-261*exp(x+15)-522)/(8*x^2*exp(x+15)+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{261}{8}+\frac{9 \ln \left({\mathrm e}^{x +15}+2\right)^{2}}{8}}{x}$&$18$\\ risch&$\frac{9 \ln \left({\mathrm e}^{x +15}+2\right)^{2}}{8 x}+\frac{261}{8 x}$&$21$\\ \hline \end{longtable}"," ",0,"(261/8+9/8*ln(exp(x+15)+2)^2)/x","A"
736,0,0,25,0.043000," ","int((((x+1)*exp(-1/6*ln(2*x^2+4*x)+3)-3*x^2-6*x)*exp(-exp(-1/6*ln(2*x^2+4*x)+3)+5-x)-3*x^2-6*x)/(3*x^2+6*x),x)","\[\int \frac{\left(\left(x +1\right) {\mathrm e}^{-\frac{\ln \left(2 x^{2}+4 x \right)}{6}+3}-3 x^{2}-6 x \right) {\mathrm e}^{-{\mathrm e}^{-\frac{\ln \left(2 x^{2}+4 x \right)}{6}+3}+5-x}-3 x^{2}-6 x}{3 x^{2}+6 x}\, dx\]"," ",0,"int((((x+1)*exp(-1/6*ln(2*x^2+4*x)+3)-3*x^2-6*x)*exp(-exp(-1/6*ln(2*x^2+4*x)+3)+5-x)-3*x^2-6*x)/(3*x^2+6*x),x)","F"
737,1,31,34,0.038000," ","int(((-9*x^5-x^3)*ln(x)+(-9*x^3-3*x+2)*exp(x)^2+9*x^6+x^4+x^3-x^2)/(x^3*ln(x)+x*exp(x)^2-x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 x^{3}-x -\ln \left(\ln \left(x \right)-\frac{x^{3}-{\mathrm e}^{2 x}}{x^{2}}\right)$&$31$\\ \hline \end{longtable}"," ",0,"-3*x^3-x-ln(ln(x)-(x^3-exp(2*x))/x^2)","A"
738,1,22,21,0.046000," ","int((((1-x)*exp(x+1)^4+256*x^2-256*x)*ln(1/256*exp(x+1)^4-x)-4*x*exp(x+1)^4+256*x)/(exp(x)*exp(x+1)^4-256*exp(x)*x)/ln(1/256*exp(x+1)^4-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{-x}}{\ln \left(\frac{{\mathrm e}^{4 x +4}}{256}-x \right)}$&$22$\\ \hline \end{longtable}"," ",0,"x*exp(-x)/ln(1/256*exp(4*x+4)-x)","A"
739,0,0,17,0.030000," ","int(((x^3-3)*ln((-x^3+3)/x)*ln(ln((-x^3+3)/x))+(x^3-3)*ln((-x^3+3)/x)+2*x^3+3)/(x^3-3)/ln((-x^3+3)/x),x)","\[\int \frac{\left(x^{3}-3\right) \ln \left(\frac{-x^{3}+3}{x}\right) \ln \left(\ln \left(\frac{-x^{3}+3}{x}\right)\right)+\left(x^{3}-3\right) \ln \left(\frac{-x^{3}+3}{x}\right)+2 x^{3}+3}{\left(x^{3}-3\right) \ln \left(\frac{-x^{3}+3}{x}\right)}\, dx\]"," ",0,"int(((x^3-3)*ln((-x^3+3)/x)*ln(ln((-x^3+3)/x))+(x^3-3)*ln((-x^3+3)/x)+2*x^3+3)/(x^3-3)/ln((-x^3+3)/x),x)","F"
740,1,6,16,0.011000," ","int(-ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x \ln \left(5\right)$&$6$\\ norman&$-x \ln \left(5\right)$&$6$\\ risch&$-x \ln \left(5\right)$&$6$\\ \hline \end{longtable}"," ",0,"-x*ln(5)","A"
741,1,24,22,0.033000," ","int(5*exp(x-2)+(-120*x-960)*exp(-x^2-16*x-59)-5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-5 x +60 \,{\mathrm e}^{-x^{2}-16 x -59}+5 \,{\mathrm e}^{x -2}$&$24$\\ norman&$-5 x +60 \,{\mathrm e}^{-x^{2}-16 x -59}+5 \,{\mathrm e}^{x -2}$&$24$\\ risch&$-5 x +60 \,{\mathrm e}^{-x^{2}-16 x -59}+5 \,{\mathrm e}^{x -2}$&$24$\\ \hline \end{longtable}"," ",0,"-5*x+60*exp(-x^2-16*x-59)+5*exp(x-2)","A"
742,1,17,23,0.234000," ","int(((-2*x*ln(6)+4*x^2+4*x)*ln(x)-x*ln(6)+4*x^2+2*x)/(20*ln(6)^2+(-160*x-80)*ln(6)+320*x^2+320*x+80),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x^{2} \ln \left(x \right)}{20 \left(\ln \left(6\right)-4 x -2\right)}$&$17$\\ risch&$-\frac{\left(\ln \left(2\right)^{2}+2 \ln \left(2\right) \ln \left(3\right)-4 x \ln \left(2\right)+\ln \left(3\right)^{2}-4 x \ln \left(3\right)+16 x^{2}-4 \ln \left(2\right)-4 \ln \left(3\right)+8 x +4\right) \ln \left(x \right)}{320 \left(\ln \left(2\right)+\ln \left(3\right)-4 x -2\right)}-\frac{\ln \left(x \right)}{160}+\frac{\ln \left(2\right) \ln \left(x \right)}{320}+\frac{\ln \left(3\right) \ln \left(x \right)}{320}$&$75$\\ default&$\frac{\ln \left(-\ln \left(6\right)+4 x +2\right) \ln \left(6\right)}{320}-\frac{\ln \left(-\ln \left(6\right)+4 x +2\right)}{160}+\frac{x \ln \left(x \right)}{80}-\frac{\ln \left(6\right)^{2} \ln \left(\ln \left(6\right)-4 x -2\right)}{320 \left(\ln \left(6\right)-2\right)}-\frac{\ln \left(6\right)^{2} \ln \left(x \right) x}{80 \left(\ln \left(6\right)-2\right) \left(\ln \left(6\right)-4 x -2\right)}+\frac{\ln \left(6\right) \ln \left(\ln \left(6\right)-4 x -2\right)}{80 \ln \left(6\right)-160}+\frac{\ln \left(6\right) \ln \left(x \right) x}{20 \left(\ln \left(6\right)-2\right) \left(\ln \left(6\right)-4 x -2\right)}-\frac{\ln \left(\ln \left(6\right)-4 x -2\right)}{80 \left(\ln \left(6\right)-2\right)}-\frac{\ln \left(x \right) x}{20 \left(\ln \left(6\right)-2\right) \left(\ln \left(6\right)-4 x -2\right)}$&$153$\\ \hline \end{longtable}"," ",0,"-1/20*x^2*ln(x)/(ln(6)-4*x-2)","A"
743,1,29,19,0.028000," ","int(((x^2+2*x)*exp(x-4)*ln(2*x)^2-x^2*exp(x-4)*ln(2*x)+x^2*exp(x-4))/ln(2*x)^2/exp(x/ln(2*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{\frac{x \ln \left(2 x \right)-4 \ln \left(2 x \right)-x}{\ln \left(2 x \right)}}$&$29$\\ \hline \end{longtable}"," ",0,"x^2*exp((x*ln(2*x)-4*ln(2*x)-x)/ln(2*x))","A"
744,1,12,26,0.026000," ","int((2*ln(ln(x))-6)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\ln \left(x \right)\right)^{2}-6 \ln \left(\ln \left(x \right)\right)$&$12$\\ default&$\ln \left(\ln \left(x \right)\right)^{2}-6 \ln \left(\ln \left(x \right)\right)$&$12$\\ norman&$\ln \left(\ln \left(x \right)\right)^{2}-6 \ln \left(\ln \left(x \right)\right)$&$12$\\ risch&$\ln \left(\ln \left(x \right)\right)^{2}-6 \ln \left(\ln \left(x \right)\right)$&$12$\\ \hline \end{longtable}"," ",0,"ln(ln(x))^2-6*ln(ln(x))","A"
745,1,20,24,0.041000," ","int((25*x*ln(x)+(-25*x^2-25*x)*exp(5)+50*x^2+150*x+25)/(x*ln(x)-x^2*exp(5)+2*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x +25 \ln \left(-x \,{\mathrm e}^{5}+2 x +\ln \left(x \right)+4\right)$&$20$\\ norman&$25 x +25 \ln \left(x \,{\mathrm e}^{5}-\ln \left(x \right)-2 x -4\right)$&$21$\\ \hline \end{longtable}"," ",0,"25*x+25*ln(-x*exp(5)+2*x+ln(x)+4)","A"
746,1,84,22,0.199000," ","int((((-80*x^3+40*x)*exp(2*x^2)+8*x)*ln(x)*ln(ln(x)^2)+40*x*exp(2*x^2)+8*x)/(75*exp(2*x^2)^2+30*exp(2*x^2)+3)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 x^{2} \ln \left(\ln \left(x \right)\right)}{3 \left(1+5 \,{\mathrm e}^{2 x^{2}}\right)}-\frac{2 i x^{2} \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \left(\mathrm{csgn}\left(i \ln \left(x \right)\right)^{2}-2 \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)+\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}\right)}{3 \left(1+5 \,{\mathrm e}^{2 x^{2}}\right)}$&$84$\\ \hline \end{longtable}"," ",0,"8/3*x^2/(1+5*exp(2*x^2))*ln(ln(x))-2/3*I*x^2*Pi*csgn(I*ln(x)^2)*(csgn(I*ln(x))^2-2*csgn(I*ln(x)^2)*csgn(I*ln(x))+csgn(I*ln(x)^2)^2)/(1+5*exp(2*x^2))","C"
747,1,63,32,0.080000," ","int((((72*exp(x)-72*x-216)*exp(4*x)^2+((-72*x^2-108*x+54)*exp(x)+72*x^3+324*x^2+270*x-162)*exp(4*x)+(36*x^3+54*x^2-18*x-18)*exp(x)-36*x^4-162*x^3-144*x^2+72*x+54)*exp(9*exp(4*x)^2+(-18*x^2-18*x+18)*exp(4*x)+9*x^4+18*x^3-9*x^2-18*x+9)*ln(-exp(x)+3+x)+((72*exp(x)-72*x-216)*exp(4*x)^2+((-72*x^2-108*x+54)*exp(x)+72*x^3+324*x^2+270*x-162)*exp(4*x)+(36*x^3+54*x^2-18*x-19)*exp(x)-36*x^4-162*x^3-144*x^2+72*x+55)*exp(9*exp(4*x)^2+(-18*x^2-18*x+18)*exp(4*x)+9*x^4+18*x^3-9*x^2-18*x+9))/((exp(x)-3-x)*ln(-exp(x)+3+x)^2+(2*exp(x)-2*x-6)*ln(-exp(x)+3+x)+exp(x)-3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{9 x^{4}-18 x^{2} {\mathrm e}^{4 x}+18 x^{3}-18 x \,{\mathrm e}^{4 x}-9 x^{2}+18 \,{\mathrm e}^{4 x}+9 \,{\mathrm e}^{8 x}-18 x +9}}{1+\ln \left(-{\mathrm e}^{x}+3+x \right)}$&$63$\\ \hline \end{longtable}"," ",0,"exp(9*x^4-18*x^2*exp(4*x)+18*x^3-18*x*exp(4*x)-9*x^2+18*exp(4*x)+9*exp(8*x)-18*x+9)/(1+ln(-exp(x)+3+x))","A"
748,1,20,21,0.045000," ","int((((-2*x^2+2)*exp(x)^2-2*x^3-8*x^2+2*x+8)*exp(x^2)+10*exp(x)^2*x^3+5*x^3)/((5*exp(x)^2*x^3+5*x^4+20*x^3)*ln(exp(x)^2+4+x)+(-x*exp(x)^2-x^2-4*x)*exp(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left({\mathrm e}^{2 x}+4+x \right)-\frac{{\mathrm e}^{x^{2}}}{5 x^{2}}\right)$&$20$\\ \hline \end{longtable}"," ",0,"ln(ln(exp(2*x)+4+x)-1/5*exp(x^2)/x^2)","A"
749,1,16,22,0.031000," ","int((2*x^2*ln(x)-3*x-3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)^{2}+\frac{3}{x}+\frac{3}{2 x^{2}}$&$16$\\ risch&$\ln \left(x \right)^{2}+\frac{3 x +\frac{3}{2}}{x^{2}}$&$16$\\ norman&$\frac{\frac{3}{2}+x^{2} \ln \left(x \right)^{2}+3 x}{x^{2}}$&$18$\\ \hline \end{longtable}"," ",0,"ln(x)^2+3/x+3/2/x^2","A"
750,1,15,26,0.060000," ","int(1/2*(-5*exp(-x*ln(x)+ln(3/5))^2+10*x*ln(x)+10*x+5)/exp(-x*ln(x)+ln(3/5))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 x}{2}+\frac{125 x \,x^{2 x}}{18}$&$15$\\ default&$-\frac{5 x}{2}+\frac{125 x \,{\mathrm e}^{2 x \ln \left(x \right)}}{18}$&$19$\\ norman&$\frac{25 \left(\frac{5 x}{2}-\frac{9 x \,{\mathrm e}^{-2 x \ln \left(x \right)}}{10}\right) {\mathrm e}^{2 x \ln \left(x \right)}}{9}$&$31$\\ \hline \end{longtable}"," ",0,"-5/2*x+125/18*x/(x^(-x))^2","A"
751,1,59,48,0.067000," ","int(1/3*(128*x^3*exp(1/3*x)^2+(128*x^3*exp(1)^2+(-512*x^3-640*x^2+1920*x)*exp(1)+512*x^3)*exp(1/3*x)+1920*x*exp(1)^3+(-7680*x-9600)*exp(1)^2+7680*x*exp(1))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-1920 \,{\mathrm e}^{3}+7680 \,{\mathrm e}^{2}-7680 \,{\mathrm e}\right) x +4800 \,{\mathrm e}^{2}}{3 x^{2}}+64 \,{\mathrm e}^{\frac{2 x}{3}}+\frac{128 \left({\mathrm e}^{2} x -4 x \,{\mathrm e}-5 \,{\mathrm e}+4 x \right) {\mathrm e}^{\frac{x}{3}}}{x}$&$59$\\ norman&$\frac{\left(-640 \,{\mathrm e}^{3}+2560 \,{\mathrm e}^{2}-2560 \,{\mathrm e}\right) x +\left(128 \,{\mathrm e}^{2}-512 \,{\mathrm e}+512\right) x^{2} {\mathrm e}^{\frac{x}{3}}+1600 \,{\mathrm e}^{2}+64 x^{2} {\mathrm e}^{\frac{2 x}{3}}-640 \,{\mathrm e} \,{\mathrm e}^{\frac{x}{3}} x}{x^{2}}$&$71$\\ derivativedivides&$64 \,{\mathrm e}^{\frac{2 x}{3}}+\frac{1600 \,{\mathrm e}^{2}}{x^{2}}-\frac{2560 \,{\mathrm e}}{x}+\frac{2560 \,{\mathrm e}^{2}}{x}-\frac{640 \,{\mathrm e}^{3}}{x}-512 \,{\mathrm e} \,{\mathrm e}^{\frac{x}{3}}+128 \,{\mathrm e}^{2} {\mathrm e}^{\frac{x}{3}}+\frac{640 \,{\mathrm e} \left(-\frac{3 \,{\mathrm e}^{\frac{x}{3}}}{x}-\expIntegralEi \left(1, -\frac{x}{3}\right)\right)}{3}+\frac{640 \,{\mathrm e} \expIntegralEi \left(1, -\frac{x}{3}\right)}{3}+512 \,{\mathrm e}^{\frac{x}{3}}$&$98$\\ default&$64 \,{\mathrm e}^{\frac{2 x}{3}}+\frac{1600 \,{\mathrm e}^{2}}{x^{2}}-\frac{2560 \,{\mathrm e}}{x}+\frac{2560 \,{\mathrm e}^{2}}{x}-\frac{640 \,{\mathrm e}^{3}}{x}-512 \,{\mathrm e} \,{\mathrm e}^{\frac{x}{3}}+128 \,{\mathrm e}^{2} {\mathrm e}^{\frac{x}{3}}+\frac{640 \,{\mathrm e} \left(-\frac{3 \,{\mathrm e}^{\frac{x}{3}}}{x}-\expIntegralEi \left(1, -\frac{x}{3}\right)\right)}{3}+\frac{640 \,{\mathrm e} \expIntegralEi \left(1, -\frac{x}{3}\right)}{3}+512 \,{\mathrm e}^{\frac{x}{3}}$&$98$\\ \hline \end{longtable}"," ",0,"1/3*((-1920*exp(3)+7680*exp(2)-7680*exp(1))*x+4800*exp(2))/x^2+64*exp(2/3*x)+128*(exp(2)*x-4*x*exp(1)-5*exp(1)+4*x)/x*exp(1/3*x)","A"
752,1,45,23,0.044000," ","int(8*x^3*exp(2)^2*ln(3)^2+1/4*(64*x^3*exp(2)^2-64*x^3*exp(2))*ln(3)+8*x^3*exp(2)^2-16*x^3*exp(2)+8*x^3+1/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(2 \,{\mathrm e}^{4} \ln \left(3\right)^{2}+4 \,{\mathrm e}^{4} \ln \left(3\right)+2 \,{\mathrm e}^{4}-4 \,{\mathrm e}^{2} \ln \left(3\right)-4 \,{\mathrm e}^{2}+2\right) x^{4}+\frac{x}{4}$&$45$\\ risch&$2 x^{4} {\mathrm e}^{4} \ln \left(3\right)^{2}+4 \ln \left(3\right) x^{4} {\mathrm e}^{4}-4 \ln \left(3\right) x^{4} {\mathrm e}^{2}+2 x^{4} {\mathrm e}^{4}-4 x^{4} {\mathrm e}^{2}+2 x^{4}+\frac{x}{4}$&$55$\\ gosper&$\frac{x \left(8 x^{3} {\mathrm e}^{4} \ln \left(3\right)^{2}+16 \,{\mathrm e}^{4} \ln \left(3\right) x^{3}+8 x^{3} {\mathrm e}^{4}-16 \,{\mathrm e}^{2} \ln \left(3\right) x^{3}-16 x^{3} {\mathrm e}^{2}+8 x^{3}+1\right)}{4}$&$60$\\ default&$2 x^{4} {\mathrm e}^{4} \ln \left(3\right)^{2}+\frac{\ln \left(3\right) \left(16 x^{4} {\mathrm e}^{4}-16 x^{4} {\mathrm e}^{2}\right)}{4}+2 x^{4} {\mathrm e}^{4}-4 x^{4} {\mathrm e}^{2}+2 x^{4}+\frac{x}{4}$&$60$\\ \hline \end{longtable}"," ",0,"(2*exp(2)^2*ln(3)^2+4*exp(2)^2*ln(3)+2*exp(2)^2-4*exp(2)*ln(3)-4*exp(2)+2)*x^4+1/4*x","A"
753,1,124,30,0.293000," ","int((2*exp(2*x+1)^8+(-16*x-368)*exp(2*x+1)^7+(56*x^2+2568*x+29624)*exp(2*x+1)^6+(-112*x^3-7680*x^2-176640*x-1362704)*exp(2*x+1)^5+(140*x^4+12752*x^3+438853*x^2+6750040*x+39177740)*exp(2*x+1)^4+(-112*x^5-12696*x^4-580936*x^3-13374316*x^2-154764240*x-720870416)*exp(2*x+1)^3+(56*x^6+7584*x^5+432290*x^4+13236768*x^3+229267542*x^2+2129030328*x+8290009784)*exp(2*x+1)^2+(-16*x^7-2520*x^6-171720*x^5-6550112*x^4-150849272*x^3-2096082092*x^2-16271075104*x-54477207152)*exp(2*x+1)+2*x^8+360*x^7+28529*x^6+1300140*x^5+37265659*x^4+687869280*x^3+7984703253*x^2+53292920040*x+156621970562)/(4*exp(2*x+1)^8+(-32*x-736)*exp(2*x+1)^7+(112*x^2+5136*x+59248)*exp(2*x+1)^6+(-224*x^3-15360*x^2-353280*x-2725408)*exp(2*x+1)^5+(280*x^4+25520*x^3+877700*x^2+13500080*x+78355480)*exp(2*x+1)^4+(-224*x^5-25440*x^4-1162960*x^3-26748080*x^2-309528480*x-1441740832)*exp(2*x+1)^3+(112*x^6+15216*x^5+866760*x^4+26497832*x^3+458516040*x^2+4258060656*x+16580019568)*exp(2*x+1)^2+(-32*x^7-5056*x^6-344528*x^5-13124704*x^4-301868192*x^3-4191872176*x^2-32542150208*x-108954414304)*exp(2*x+1)+4*x^8+720*x^7+57060*x^6+2600280*x^5+74525153*x^4+1375548120*x^3+15967727460*x^2+106585840080*x+313243941124),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{2}+\frac{x^{3}}{4 \,{\mathrm e}^{8 x +4}-16 \,{\mathrm e}^{6 x +3} x +24 \,{\mathrm e}^{4 x +2} x^{2}-16 \,{\mathrm e}^{2 x +1} x^{3}+4 x^{4}-368 \,{\mathrm e}^{6 x +3}+1096 \,{\mathrm e}^{4 x +2} x -1088 \,{\mathrm e}^{2 x +1} x^{2}+360 x^{3}+12696 \,{\mathrm e}^{4 x +2}-25024 x \,{\mathrm e}^{2 x +1}+12330 x^{2}-194672 \,{\mathrm e}^{2 x +1}+190440 x +1119364}$&$124$\\ \hline \end{longtable}"," ",0,"1/2*x+1/2*x^3/(2*exp(8*x+4)-8*exp(6*x+3)*x+12*exp(4*x+2)*x^2-8*exp(2*x+1)*x^3+2*x^4-184*exp(6*x+3)+548*exp(4*x+2)*x-544*exp(2*x+1)*x^2+180*x^3+6348*exp(4*x+2)-12512*x*exp(2*x+1)+6165*x^2-97336*exp(2*x+1)+95220*x+559682)","B"
754,1,65,32,0.061000," ","int((((-3*x+18)*exp(4)+x^5-18*x^4-8*x^3)*ln(x)*ln(ln(x))^2+(10*exp(4)-10*x^4-5*x^3)*ln(x)*ln(ln(x))-5*exp(4)-5*x^4-5*x^3+5*x^2)/((x^5-18*x^4+81*x^3)*ln(x)*ln(ln(x))^2+(-10*x^4+90*x^3)*ln(x)*ln(ln(x))+25*x^3*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4}-9 x^{3}+89 x^{2}+{\mathrm e}^{4}}{x^{2} \left(x -9\right)}+\frac{5 x^{4}+5 x^{3}-5 x^{2}+5 \,{\mathrm e}^{4}}{x^{2} \left(x -9\right) \left(x \ln \left(\ln \left(x \right)\right)-9 \ln \left(\ln \left(x \right)\right)-5\right)}$&$65$\\ \hline \end{longtable}"," ",0,"(x^4-9*x^3+89*x^2+exp(4))/x^2/(x-9)+5*(x^4+x^3-x^2+exp(4))/x^2/(x-9)/(x*ln(ln(x))-9*ln(ln(x))-5)","A"
755,1,36,24,0.049000," ","int(((6*x^2+150)*ln(x*exp(6))^2+(-5*x^2-125)*ln(x*exp(6))-5*x^2+20*x+125)/(36*x^2*ln(x*exp(6))^2-60*x^2*ln(x*exp(6))+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}-25}{6 x}+\frac{\frac{5}{6} x^{2}-\frac{10}{3} x -\frac{125}{6}}{x \left(-5+6 \ln \left(x \,{\mathrm e}^{6}\right)\right)}$&$36$\\ norman&$\frac{x^{2} \ln \left(x \,{\mathrm e}^{6}\right)-4 x \ln \left(x \,{\mathrm e}^{6}\right)-25 \ln \left(x \,{\mathrm e}^{6}\right)}{x \left(-5+6 \ln \left(x \,{\mathrm e}^{6}\right)\right)}$&$41$\\ \hline \end{longtable}"," ",0,"1/6*(x^2-25)/x+5/6/x*(x^2-4*x-25)/(-5+6*ln(x*exp(6)))","A"
756,1,27,21,0.199000," ","int(((3*exp(4)-6*x-7)*ln(1/3*(-3*exp(4)+6*x+7)/x)+(6*x+21)*exp(4)-12*x^2-62*x-49)*exp(x*ln(1/3*(-3*exp(4)+6*x+7)/x)+x^2+8*x+1)/(3*exp(4)-6*x-7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{x \ln \left(\frac{-3 \,{\mathrm e}^{4}+6 x +7}{3 x}\right)+x^{2}+8 x +1}$&$27$\\ risch&$\left(\frac{-3 \,{\mathrm e}^{4}+6 x +7}{3 x}\right)^{x} {\mathrm e}^{x^{2}+8 x +1}$&$27$\\ \hline \end{longtable}"," ",0,"exp(x*ln(1/3*(-3*exp(4)+6*x+7)/x)+x^2+8*x+1)","A"
757,1,15,29,0.027000," ","int(2/5*(-10*x+51)*ln(2)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(10 x \ln \left(2\right)-102 \ln \left(2\right)-5\right)}{5}$&$15$\\ risch&$-2 x^{2} \ln \left(2\right)+\frac{102 x \ln \left(2\right)}{5}+x$&$15$\\ default&$\frac{2 \ln \left(2\right) \left(-5 x^{2}+51 x \right)}{5}+x$&$16$\\ norman&$\left(\frac{102 \ln \left(2\right)}{5}+1\right) x -2 x^{2} \ln \left(2\right)$&$17$\\ \hline \end{longtable}"," ",0,"-1/5*x*(10*x*ln(2)-102*ln(2)-5)","A"
758,1,47,28,0.145000," ","int(((-exp(3)^2+(-8*x^2-12)*exp(3)-16*x^4+48*x^2)*ln(-x^2)^2+8*x*exp(3)*ln(-x^2)-8*x*exp(3)-32*x^3)/(exp(3)^2+8*x^2*exp(3)+16*x^4)/ln(-x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \left(4 x^{2}+{\mathrm e}^{3}+12\right)}{{\mathrm e}^{3}+4 x^{2}}+\frac{4 x^{2}}{\left({\mathrm e}^{3}+4 x^{2}\right) \ln \left(-x^{2}\right)}$&$47$\\ norman&$\frac{\left(-{\mathrm e}^{3}-12\right) x \ln \left(-x^{2}\right)+4 x^{2}-4 x^{3} \ln \left(-x^{2}\right)}{\left({\mathrm e}^{3}+4 x^{2}\right) \ln \left(-x^{2}\right)}$&$51$\\ \hline \end{longtable}"," ",0,"-x*(4*x^2+exp(3)+12)/(exp(3)+4*x^2)+4*x^2/(exp(3)+4*x^2)/ln(-x^2)","A"
759,1,19,17,0.028000," ","int((-ln(x)*ln(ln(x))+5*ln(x)^2+100*ln(x)+1)/(x*ln(x)*ln(ln(x))-5*x*ln(x)^2+(5*x^2-105*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\ln \left(5 x -5 \ln \left(x \right)+\ln \left(\ln \left(x \right)\right)-105\right)$&$19$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(5*x-5*ln(x)+ln(ln(x))-105)","A"
760,1,28,29,0.047000," ","int((((x-1)*ln(1-x)*ln(50*x)+(2*x^4-2*x^3-x+1)*ln(1-x)-x^2)*exp((ln(50*x)-x^3)/x)-5*x+5)/((x^3-x^2)*ln(1-x)^2*exp((ln(50*x)-x^3)/x)^2+(-10*x^2+10*x)*ln(1-x)*exp((ln(50*x)-x^3)/x)+25*x-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{\left(50 x \right)^{\frac{1}{x}} \ln \left(1-x \right) {\mathrm e}^{-x^{2}} x -5}$&$28$\\ \hline \end{longtable}"," ",0,"x/((50*x)^(1/x)*ln(1-x)*exp(-x^2)*x-5)","A"
761,1,14,14,0.103000," ","int(1/30*(-5*ln(ln(5))-2*x)*exp(5*ln(ln(5))/x)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(5\right)^{\frac{5}{x}}}{30 x^{2}}$&$14$\\ gosper&$\frac{{\mathrm e}^{\frac{5 \ln \left(\ln \left(5\right)\right)}{x}}}{30 x^{2}}$&$15$\\ derivativedivides&$\frac{{\mathrm e}^{\frac{5 \ln \left(\ln \left(5\right)\right)}{x}}}{30 x^{2}}$&$15$\\ default&$\frac{{\mathrm e}^{\frac{5 \ln \left(\ln \left(5\right)\right)}{x}}}{30 x^{2}}$&$15$\\ norman&$\frac{{\mathrm e}^{\frac{5 \ln \left(\ln \left(5\right)\right)}{x}}}{30 x^{2}}$&$15$\\ meijerg&$-\frac{2-\frac{\left(\frac{75 \ln \left(\ln \left(5\right)\right)^{2}}{x^{2}}-\frac{30 \ln \left(\ln \left(5\right)\right)}{x}+6\right) {\mathrm e}^{\frac{5 \ln \left(\ln \left(5\right)\right)}{x}}}{3}}{750 \ln \left(\ln \left(5\right)\right)^{2}}+\frac{1-\frac{\left(2-\frac{10 \ln \left(\ln \left(5\right)\right)}{x}\right) {\mathrm e}^{\frac{5 \ln \left(\ln \left(5\right)\right)}{x}}}{2}}{375 \ln \left(\ln \left(5\right)\right)^{2}}$&$72$\\ \hline \end{longtable}"," ",0,"1/30/x^2*ln(5)^(5/x)","A"
762,1,317,29,0.640000," ","int(((ln(3/x)^2-2)*ln(1/6*(ln(3/x)^2-2)/exp(2*x*ln(2)+4*x))+(2*x*ln(2)+4*x)*ln(3/x)^2+2*ln(3/x)-4*x*ln(2)-8*x)/(x*ln(3/x)^2-2*x)/ln(1/6*(ln(3/x)^2-2)/exp(2*x*ln(2)+4*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-\ln \left(\ln \left(4^{x} {\mathrm e}^{4 x}\right)+\frac{i \left(2 \pi  \mathrm{csgn}\left(i 4^{-x} {\mathrm e}^{-4 x} \left(-8-8 \ln \left(3\right) \ln \left(x \right)+4 \ln \left(x \right)^{2}+4 \ln \left(3\right)^{2}\right)\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(-8-8 \ln \left(3\right) \ln \left(x \right)+4 \ln \left(x \right)^{2}+4 \ln \left(3\right)^{2}\right)\right) \mathrm{csgn}\left(i 4^{-x} {\mathrm e}^{-4 x}\right) \mathrm{csgn}\left(i 4^{-x} {\mathrm e}^{-4 x} \left(-8-8 \ln \left(3\right) \ln \left(x \right)+4 \ln \left(x \right)^{2}+4 \ln \left(3\right)^{2}\right)\right)+\pi  \,\mathrm{csgn}\left(i \left(-8-8 \ln \left(3\right) \ln \left(x \right)+4 \ln \left(x \right)^{2}+4 \ln \left(3\right)^{2}\right)\right) \mathrm{csgn}\left(i 4^{-x} {\mathrm e}^{-4 x} \left(-8-8 \ln \left(3\right) \ln \left(x \right)+4 \ln \left(x \right)^{2}+4 \ln \left(3\right)^{2}\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i 4^{-x} {\mathrm e}^{-4 x}\right) \mathrm{csgn}\left(i 4^{-x} {\mathrm e}^{-4 x} \left(-8-8 \ln \left(3\right) \ln \left(x \right)+4 \ln \left(x \right)^{2}+4 \ln \left(3\right)^{2}\right)\right)^{2}+\pi  \mathrm{csgn}\left(i 4^{-x} {\mathrm e}^{-4 x} \left(-8-8 \ln \left(3\right) \ln \left(x \right)+4 \ln \left(x \right)^{2}+4 \ln \left(3\right)^{2}\right)\right)^{3}-6 i \ln \left(2\right)-2 i \ln \left(3\right)+2 i \ln \left(8+8 \ln \left(3\right) \ln \left(x \right)-4 \ln \left(x \right)^{2}-4 \ln \left(3\right)^{2}\right)-2 \pi \right)}{2}\right)$&$317$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(ln(4^x*exp(4*x))+1/2*I*(2*Pi*csgn(I/(4^x)*exp(-4*x)*(-8-8*ln(3)*ln(x)+4*ln(x)^2+4*ln(3)^2))^2+Pi*csgn(I*(-8-8*ln(3)*ln(x)+4*ln(x)^2+4*ln(3)^2))*csgn(I/(4^x)*exp(-4*x))*csgn(I/(4^x)*exp(-4*x)*(-8-8*ln(3)*ln(x)+4*ln(x)^2+4*ln(3)^2))+Pi*csgn(I*(-8-8*ln(3)*ln(x)+4*ln(x)^2+4*ln(3)^2))*csgn(I/(4^x)*exp(-4*x)*(-8-8*ln(3)*ln(x)+4*ln(x)^2+4*ln(3)^2))^2-Pi*csgn(I/(4^x)*exp(-4*x))*csgn(I/(4^x)*exp(-4*x)*(-8-8*ln(3)*ln(x)+4*ln(x)^2+4*ln(3)^2))^2+Pi*csgn(I/(4^x)*exp(-4*x)*(-8-8*ln(3)*ln(x)+4*ln(x)^2+4*ln(3)^2))^3-6*I*ln(2)-2*I*ln(3)+2*I*ln(8+8*ln(3)*ln(x)-4*ln(x)^2-4*ln(3)^2)-2*Pi))","C"
763,1,23,21,0.047000," ","int((((2*x^2-x-1)*exp(x)-4*x-2)*ln(-6*x-3)-2*x^2)/((2*x^3+x^2)*ln(-6*x-3)*ln(ln(-6*x-3))^2+((-4*x^2-2*x)*exp(x)+32*x^3+8*x^2-4*x)*ln(-6*x-3)*ln(ln(-6*x-3))+((2*x+1)*exp(x)^2+(-32*x^2-8*x+4)*exp(x)+128*x^3-24*x+4)*ln(-6*x-3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{x \ln \left(\ln \left(-6 x -3\right)\right)+8 x -{\mathrm e}^{x}-2}$&$23$\\ \hline \end{longtable}"," ",0,"x/(x*ln(ln(-6*x-3))+8*x-exp(x)-2)","A"
764,1,52,32,0.276000," ","int(((-15*x^6-36*x^5+114*x^4+360*x^3-15*x^2-900*x-900)*exp(4)-30*x^5-34*x^4+48*x^3+262*x^2+600*x+360)/((25*x^6+60*x^5-214*x^4-600*x^3+265*x^2+1500*x+900)*exp(4)^2+(50*x^5+120*x^4-178*x^3-600*x^2-360*x)*exp(4)+25*x^4+60*x^3+36*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-3 x^{4}-\frac{24 x \,{\mathrm e}^{-4}}{5}+\frac{{\mathrm e}^{-4} \left(-20+111 \,{\mathrm e}^{4}\right) x^{2}}{5}-36}{\left(5 x +6\right) \left(x^{2} {\mathrm e}^{4}-5 \,{\mathrm e}^{4}+x \right)}$&$52$\\ gosper&$-\frac{\left(15 x^{4} {\mathrm e}^{4}-111 x^{2} {\mathrm e}^{4}+20 x^{2}+180 \,{\mathrm e}^{4}+24 x \right) {\mathrm e}^{-4}}{5 \left(5 x^{3} {\mathrm e}^{4}+6 x^{2} {\mathrm e}^{4}-25 x \,{\mathrm e}^{4}+5 x^{2}-30 \,{\mathrm e}^{4}+6 x \right)}$&$68$\\ risch&$-\frac{3 x \,{\mathrm e}^{-4}}{5}+\frac{\left(\frac{{\mathrm e}^{-4} \left(72 \,{\mathrm e}^{8}-190 \,{\mathrm e}^{4}-75\right) x^{2}}{25}+\frac{3 \left(49 \,{\mathrm e}^{4}-30\right) {\mathrm e}^{-4} x}{25}-\frac{72 \,{\mathrm e}^{4}}{5}+18\right) {\mathrm e}^{-4}}{5 x^{3} {\mathrm e}^{4}+6 x^{2} {\mathrm e}^{4}-25 x \,{\mathrm e}^{4}+5 x^{2}-30 \,{\mathrm e}^{4}+6 x}$&$76$\\ default&$-\frac{3 \,{\mathrm e}^{4} {\mathrm e}^{-8} x}{5}-\frac{-1539842400 \,{\mathrm e}^{4}-4568199120 \,{\mathrm e}^{8}-4517441352 \,{\mathrm e}^{12}-173016000}{25 \left(7921 \,{\mathrm e}^{8}+5340 \,{\mathrm e}^{4}+900\right)^{2} \left(5 x +6\right)}+\frac{\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4} {\mathrm e}^{8}+2 \textit{\_Z}^{3} {\mathrm e}^{4}+\left(-10 \,{\mathrm e}^{8}+1\right) \textit{\_Z}^{2}-10 \textit{\_Z} \,{\mathrm e}^{4}+25 \,{\mathrm e}^{8}\right)}{\sum}\frac{\left(8100000+\left(486000 \,{\mathrm e}^{-4}+83186342 \,{\mathrm e}^{16}+39807720 \,{\mathrm e}^{4}+111620952 \,{\mathrm e}^{8}+153912951 \,{\mathrm e}^{12}+6998400\right) \textit{\_R}^{2}+30 \left(-162000-9164597 \,{\mathrm e}^{16}-1792800 \,{\mathrm e}^{4}-7401240 \,{\mathrm e}^{8}-13497384 \,{\mathrm e}^{12}\right) \textit{\_R} +415931710 \,{\mathrm e}^{16}+88020000 \,{\mathrm e}^{4}+355644000 \,{\mathrm e}^{8}+632095800 \,{\mathrm e}^{12}\right) \ln \left(x -\textit{\_R} \right)}{2 \textit{\_R}^{3} {\mathrm e}^{8}+3 \textit{\_R}^{2} {\mathrm e}^{4}-10 \textit{\_R} \,{\mathrm e}^{8}-5 \,{\mathrm e}^{4}+\textit{\_R}}}{2 \left(7921 \,{\mathrm e}^{8}+5340 \,{\mathrm e}^{4}+900\right)^{2}}$&$196$\\ \hline \end{longtable}"," ",0,"(-3*x^4-24/5*x/exp(4)+1/5/exp(4)*(-20+111*exp(4))*x^2-36)/(5*x+6)/(x^2*exp(4)-5*exp(4)+x)","A"
765,0,0,27,0.031000," ","int(((x^2*ln(2*x)^2+(2*x^3-4*x^2-18*x)*ln(2*x)+x^4-4*x^3-11*x^2+36*x+81)*ln((6*x^2*ln(2*x)^2+(12*x^3-24*x^2-108*x)*ln(2*x)+6*x^4-24*x^3-66*x^2+216*x+486)/x^2)+(-2*x^3-2*x^2-18*x)*ln(2*x)-2*x^4+2*x^3+4*x^2+54*x+162)/(x^2*ln(2*x)^2+(2*x^3-4*x^2-18*x)*ln(2*x)+x^4-4*x^3-11*x^2+36*x+81)/ln((6*x^2*ln(2*x)^2+(12*x^3-24*x^2-108*x)*ln(2*x)+6*x^4-24*x^3-66*x^2+216*x+486)/x^2)^2,x)","\[\int \frac{\left(x^{2} \ln \left(2 x \right)^{2}+\left(2 x^{3}-4 x^{2}-18 x \right) \ln \left(2 x \right)+x^{4}-4 x^{3}-11 x^{2}+36 x +81\right) \ln \left(\frac{6 x^{2} \ln \left(2 x \right)^{2}+\left(12 x^{3}-24 x^{2}-108 x \right) \ln \left(2 x \right)+6 x^{4}-24 x^{3}-66 x^{2}+216 x +486}{x^{2}}\right)+\left(-2 x^{3}-2 x^{2}-18 x \right) \ln \left(2 x \right)-2 x^{4}+2 x^{3}+4 x^{2}+54 x +162}{\left(x^{2} \ln \left(2 x \right)^{2}+\left(2 x^{3}-4 x^{2}-18 x \right) \ln \left(2 x \right)+x^{4}-4 x^{3}-11 x^{2}+36 x +81\right) \ln \left(\frac{6 x^{2} \ln \left(2 x \right)^{2}+\left(12 x^{3}-24 x^{2}-108 x \right) \ln \left(2 x \right)+6 x^{4}-24 x^{3}-66 x^{2}+216 x +486}{x^{2}}\right)^{2}}\, dx\]"," ",0,"int(((x^2*ln(2*x)^2+(2*x^3-4*x^2-18*x)*ln(2*x)+x^4-4*x^3-11*x^2+36*x+81)*ln((6*x^2*ln(2*x)^2+(12*x^3-24*x^2-108*x)*ln(2*x)+6*x^4-24*x^3-66*x^2+216*x+486)/x^2)+(-2*x^3-2*x^2-18*x)*ln(2*x)-2*x^4+2*x^3+4*x^2+54*x+162)/(x^2*ln(2*x)^2+(2*x^3-4*x^2-18*x)*ln(2*x)+x^4-4*x^3-11*x^2+36*x+81)/ln((6*x^2*ln(2*x)^2+(12*x^3-24*x^2-108*x)*ln(2*x)+6*x^4-24*x^3-66*x^2+216*x+486)/x^2)^2,x)","F"
766,1,15,17,0.211000," ","int((-3*x^2*ln(3)+6*x^3+15*x^2)/(ln(3)^2+(-6*x-10)*ln(3)+9*x^2+30*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x^{3}}{\ln \left(3\right)-3 x -5}$&$15$\\ norman&$-\frac{x^{3}}{\ln \left(3\right)-3 x -5}$&$15$\\ default&$\frac{x^{2}}{3}+\frac{x \ln \left(3\right)}{9}-\frac{5 x}{9}-\frac{3 \left(-\frac{\ln \left(3\right)^{3}}{81}+\frac{5 \ln \left(3\right)^{2}}{27}-\frac{25 \ln \left(3\right)}{27}+\frac{125}{81}\right)}{5+3 x -\ln \left(3\right)}$&$46$\\ risch&$\frac{x \ln \left(3\right)}{9}+\frac{x^{2}}{3}-\frac{5 x}{9}-\frac{\ln \left(3\right)^{3}}{27 \left(\ln \left(3\right)-3 x -5\right)}+\frac{5 \ln \left(3\right)^{2}}{9 \left(\ln \left(3\right)-3 x -5\right)}-\frac{25 \ln \left(3\right)}{9 \left(\ln \left(3\right)-3 x -5\right)}+\frac{125}{27 \left(\ln \left(3\right)-3 x -5\right)}$&$69$\\ meijerg&$\frac{\left(5-\ln \left(3\right)\right)^{2} \left(\frac{x \left(\frac{9 x}{5-\ln \left(3\right)}+6\right)}{\left(5-\ln \left(3\right)\right) \left(1+\frac{3 x}{5-\ln \left(3\right)}\right)}-2 \ln \left(1+\frac{3 x}{5-\ln \left(3\right)}\right)\right)}{9}+\frac{2 \left(5-\ln \left(3\right)\right)^{3} \left(-\frac{3 x \left(-\frac{18 x^{2}}{\left(5-\ln \left(3\right)\right)^{2}}+\frac{18 x}{5-\ln \left(3\right)}+12\right)}{4 \left(5-\ln \left(3\right)\right) \left(1+\frac{3 x}{5-\ln \left(3\right)}\right)}+3 \ln \left(1+\frac{3 x}{5-\ln \left(3\right)}\right)\right)}{81 \left(-\frac{\ln \left(3\right)}{3}+\frac{5}{3}\right)}$&$154$\\ \hline \end{longtable}"," ",0,"-x^3/(ln(3)-3*x-5)","A"
767,1,28,24,0.052000," ","int(((-5*x^6+4*x^5+20*x^4+x^2-4*x-4)*ln(x)-4*x^6+4*x^5+16*x^4-4*x)/((2*x^2-8*x+8)*ln(x)^2+(4*x^2-16*x+16)*ln(x)+2*x^2-8*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \left(x^{5}+2 x^{4}-x -2\right)}{2 \left(x -2\right) \left(\ln \left(x \right)+1\right)}$&$28$\\ norman&$\frac{x +\frac{1}{2} x^{2}-x^{5}-\frac{1}{2} x^{6}}{\left(\ln \left(x \right)+1\right) \left(x -2\right)}$&$30$\\ \hline \end{longtable}"," ",0,"-1/2*x*(x^5+2*x^4-x-2)/(x-2)/(ln(x)+1)","A"
768,1,188,27,0.143000," ","int(((5*exp(x)^2+20)*ln(1/5*(exp(x)^2+4)/x^2)+(20*x^2-10*x+5)*exp(x)^2+80*x^2+20)*exp((-5*ln(1/5*(exp(x)^2+4)/x^2)+20*x^2+5)/x)/(exp(x)^2*x^2+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-\frac{5 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+5 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-\frac{5 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}}{2}+\frac{5 i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x}+4\right)}{x^{2}}\right)^{3}}{2}-\frac{5 i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x}+4\right)}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)}{2}-\frac{5 i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x}+4\right)}{x^{2}}\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{2 x}+4\right)\right)}{2}+\frac{5 i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x}+4\right)}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{2 x}+4\right)\right)}{2}+20 x^{2}+10 \ln \left(x \right)+5 \ln \left(5\right)-5 \ln \left({\mathrm e}^{2 x}+4\right)+5}{x}}$&$188$\\ \hline \end{longtable}"," ",0,"exp(5/2*(-I*Pi*csgn(I*x^2)^3+2*I*Pi*csgn(I*x^2)^2*csgn(I*x)-I*Pi*csgn(I*x^2)*csgn(I*x)^2+I*Pi*csgn(I/x^2*(exp(2*x)+4))^3-I*Pi*csgn(I/x^2*(exp(2*x)+4))^2*csgn(I/x^2)-I*Pi*csgn(I/x^2*(exp(2*x)+4))^2*csgn(I*(exp(2*x)+4))+I*Pi*csgn(I/x^2*(exp(2*x)+4))*csgn(I/x^2)*csgn(I*(exp(2*x)+4))+8*x^2+4*ln(x)+2*ln(5)-2*ln(exp(2*x)+4)+2)/x)","C"
769,1,24,27,0.116000," ","int((exp(1)*exp(5)*exp(x+10)-2*x^2*exp(5)-x^4+2*x^3)/x^2/exp(5)/exp(x+10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}}{x}+\left(2 \,{\mathrm e}^{5}+x^{2}\right) {\mathrm e}^{-x -15}$&$24$\\ norman&$\frac{\left({\mathrm e}^{-5} x^{3}+2 x -{\mathrm e} \,{\mathrm e}^{x +10}\right) {\mathrm e}^{-x -10}}{x}$&$31$\\ derivativedivides&${\mathrm e}^{-5} \left(-\frac{{\mathrm e} \,{\mathrm e}^{5}}{x}+660 \,{\mathrm e}^{-x -10}-42 \left(x +31\right) {\mathrm e}^{-x -10}+\left(\left(x +10\right)^{2}+22 x +542\right) {\mathrm e}^{-x -10}-200 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{-x -10}}{x}+{\mathrm e}^{-10} \expIntegralEi \left(1, x\right)\right)+40 \,{\mathrm e}^{5} \left(-\frac{10 \,{\mathrm e}^{-x -10}}{x}+9 \,{\mathrm e}^{-10} \expIntegralEi \left(1, x\right)\right)-2 \,{\mathrm e}^{5} \left(-{\mathrm e}^{-x -10}-\frac{100 \,{\mathrm e}^{-x -10}}{x}+80 \,{\mathrm e}^{-10} \expIntegralEi \left(1, x\right)\right)\right)$&$128$\\ default&${\mathrm e}^{-5} \left(-\frac{{\mathrm e} \,{\mathrm e}^{5}}{x}+660 \,{\mathrm e}^{-x -10}-42 \left(x +31\right) {\mathrm e}^{-x -10}+\left(\left(x +10\right)^{2}+22 x +542\right) {\mathrm e}^{-x -10}-200 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{-x -10}}{x}+{\mathrm e}^{-10} \expIntegralEi \left(1, x\right)\right)+40 \,{\mathrm e}^{5} \left(-\frac{10 \,{\mathrm e}^{-x -10}}{x}+9 \,{\mathrm e}^{-10} \expIntegralEi \left(1, x\right)\right)-2 \,{\mathrm e}^{5} \left(-{\mathrm e}^{-x -10}-\frac{100 \,{\mathrm e}^{-x -10}}{x}+80 \,{\mathrm e}^{-10} \expIntegralEi \left(1, x\right)\right)\right)$&$128$\\ meijerg&${\mathrm e}^{-x -9+x \,{\mathrm e}^{-10}} \left(-{\mathrm e}^{10}+1\right) \left(\frac{{\mathrm e}^{10} \left(2-2 x \,{\mathrm e}^{-10} \left(-{\mathrm e}^{10}+1\right)\right)}{2 x \left(-{\mathrm e}^{10}+1\right)}-\frac{{\mathrm e}^{10-x \,{\mathrm e}^{-10} \left(-{\mathrm e}^{10}+1\right)}}{x \left(-{\mathrm e}^{10}+1\right)}+\ln \left(x \,{\mathrm e}^{-10} \left(-{\mathrm e}^{10}+1\right)\right)+\expIntegralEi \left(1, x \,{\mathrm e}^{-10} \left(-{\mathrm e}^{10}+1\right)\right)+11-\ln \left(x \right)-\ln \left(-{\mathrm e}^{10}+1\right)-\frac{{\mathrm e}^{10}}{x \left(-{\mathrm e}^{10}+1\right)}\right)-2 \,{\mathrm e}^{-x +x \,{\mathrm e}^{-10}} \left(1-{\mathrm e}^{-x \,{\mathrm e}^{-10}}\right)-{\mathrm e}^{15-x +x \,{\mathrm e}^{-10}} \left(2-\frac{\left(3 x^{2} {\mathrm e}^{-20}+6 x \,{\mathrm e}^{-10}+6\right) {\mathrm e}^{-x \,{\mathrm e}^{-10}}}{3}\right)+2 \,{\mathrm e}^{-x +5+x \,{\mathrm e}^{-10}} \left(1-\frac{\left(2+2 x \,{\mathrm e}^{-10}\right) {\mathrm e}^{-x \,{\mathrm e}^{-10}}}{2}\right)$&$213$\\ \hline \end{longtable}"," ",0,"-exp(1)/x+(2*exp(5)+x^2)*exp(-x-15)","A"
770,1,104,24,0.094000," ","int(((-40*x^7-40*x^6+3*x^3+3*x^2)*ln(x^2+x)+120*x^7+120*x^6-11*x^3-10*x^2)/((x+1)*exp(5*x^4-10)^2*ln(x^2+x)^2+(-6*x-6)*exp(5*x^4-10)^2*ln(x^2+x)+(9*x+9)*exp(5*x^4-10)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i x^{3} {\mathrm e}^{-10 x^{4}+20}}{\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(i x \left(x +1\right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x +1\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(i x \left(x +1\right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \left(x +1\right)\right)^{3}+2 i \ln \left(x \right)+2 i \ln \left(x +1\right)-6 i}$&$104$\\ \hline \end{longtable}"," ",0,"2*I*x^3/(Pi*csgn(I*x)*csgn(I*(x+1))*csgn(I*x*(x+1))-Pi*csgn(I*x)*csgn(I*x*(x+1))^2-Pi*csgn(I*(x+1))*csgn(I*x*(x+1))^2+Pi*csgn(I*x*(x+1))^3+2*I*ln(x)+2*I*ln(x+1)-6*I)*exp(-10*x^4+20)","C"
771,1,26,24,0.058000," ","int(((3*x+2)*ln(x)^2+((4*x+2)*exp(x)-8)*ln(x)-4*exp(x)+16)/((x^2+2*x)*ln(x)^2+(2*exp(x)*x-8*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)-2 \ln \left(\ln \left(x \right)\right)+2 \ln \left(x \ln \left(x \right)+2 \ln \left(x \right)+2 \,{\mathrm e}^{x}-8\right)$&$26$\\ risch&$2 \ln \left(2+x \right)+\ln \left(x \right)+2 \ln \left(\ln \left(x \right)+\frac{2 \,{\mathrm e}^{x}-8}{2+x}\right)-2 \ln \left(\ln \left(x \right)\right)$&$32$\\ \hline \end{longtable}"," ",0,"ln(x)-2*ln(ln(x))+2*ln(x*ln(x)+2*ln(x)+2*exp(x)-8)","A"
772,1,13,12,0.020000," ","int((80*x^4+320*x^3)*exp(5)*ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$16 \,{\mathrm e}^{5} \left(5+x \right) x^{4} \ln \left(5\right)$&$13$\\ default&${\mathrm e}^{5} \ln \left(5\right) \left(16 x^{5}+80 x^{4}\right)$&$17$\\ norman&$80 x^{4} {\mathrm e}^{5} \ln \left(5\right)+16 x^{5} {\mathrm e}^{5} \ln \left(5\right)$&$20$\\ risch&$80 x^{4} {\mathrm e}^{5} \ln \left(5\right)+16 x^{5} {\mathrm e}^{5} \ln \left(5\right)$&$20$\\ \hline \end{longtable}"," ",0,"16*exp(5)*(5+x)*x^4*ln(5)","A"
773,1,29,27,0.027000," ","int(1/4*(x^3+2*x)*exp(1)^2-1/2*x*exp(1)-4*x^3+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4} {\mathrm e}^{2}}{16}+\frac{x^{2} {\mathrm e}^{2}}{4}-\frac{x^{2} {\mathrm e}}{4}-x^{4}+x$&$29$\\ default&$\frac{{\mathrm e}^{2} \left(\frac{1}{4} x^{4}+x^{2}\right)}{4}-\frac{x^{2} {\mathrm e}}{4}-x^{4}+x$&$30$\\ norman&$x +\left(\frac{{\mathrm e}^{2}}{4}-\frac{{\mathrm e}}{4}\right) x^{2}+\left(\frac{{\mathrm e}^{2}}{16}-1\right) x^{4}$&$30$\\ gosper&$\frac{x \left(x^{3} {\mathrm e}^{2}+4 \,{\mathrm e}^{2} x -16 x^{3}-4 x \,{\mathrm e}+16\right)}{16}$&$31$\\ \hline \end{longtable}"," ",0,"1/16*x^4*exp(2)+1/4*x^2*exp(2)-1/4*x^2*exp(1)-x^4+x","A"
774,1,31,22,0.047000," ","int((-4*x^3-6*x^2)*exp(2*x)+12*x^2*ln(2)+8*x^3+6*x^2+8*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(4 \ln \left(2\right)+2\right) x^{3}+4 x^{2}+2 x^{4}-2 \,{\mathrm e}^{2 x} x^{3}$&$31$\\ derivativedivides&$4 x^{2}+2 x^{3}+2 x^{4}-2 \,{\mathrm e}^{2 x} x^{3}+4 x^{3} \ln \left(2\right)$&$33$\\ default&$4 x^{2}+2 x^{3}+2 x^{4}-2 \,{\mathrm e}^{2 x} x^{3}+4 x^{3} \ln \left(2\right)$&$33$\\ risch&$4 x^{2}+2 x^{3}+2 x^{4}-2 \,{\mathrm e}^{2 x} x^{3}+4 x^{3} \ln \left(2\right)$&$33$\\ \hline \end{longtable}"," ",0,"(4*ln(2)+2)*x^3+4*x^2+2*x^4-2*exp(2*x)*x^3","A"
775,0,0,26,0.094000," ","int((2*exp(x)^8+8*x*exp(x)^6+(-8*ln(5)-4*exp(1)+12*x^2)*exp(x)^4+((-8*x-4)*ln(5)-8*x*exp(1)+8*x^3)*exp(x)^2-4*x*ln(5)+2*exp(1)^2-4*x^2*exp(1)+2*x^4)*ln((-x*exp(x)^4-2*exp(x)^2*x^2-ln(5)+x*exp(1)-x^3)/(ln(5)*exp(x)^4+2*x*ln(5)*exp(x)^2+(-exp(1)+x^2)*ln(5)))/(x*exp(x)^8+4*x^2*exp(x)^6+(ln(5)-2*x*exp(1)+6*x^3)*exp(x)^4+(2*x*ln(5)-4*x^2*exp(1)+4*x^4)*exp(x)^2+(-exp(1)+x^2)*ln(5)+x*exp(1)^2-2*x^3*exp(1)+x^5),x)","\[\int \frac{\left(2 \,{\mathrm e}^{8 x}+8 x \,{\mathrm e}^{6 x}+\left(-8 \ln \left(5\right)-4 \,{\mathrm e}+12 x^{2}\right) {\mathrm e}^{4 x}+\left(\left(-8 x -4\right) \ln \left(5\right)-8 x \,{\mathrm e}+8 x^{3}\right) {\mathrm e}^{2 x}-4 x \ln \left(5\right)+2 \,{\mathrm e}^{2}-4 x^{2} {\mathrm e}+2 x^{4}\right) \ln \left(\frac{-x \,{\mathrm e}^{4 x}-2 \,{\mathrm e}^{2 x} x^{2}-\ln \left(5\right)+x \,{\mathrm e}-x^{3}}{\ln \left(5\right) {\mathrm e}^{4 x}+2 x \ln \left(5\right) {\mathrm e}^{2 x}+\left(-{\mathrm e}+x^{2}\right) \ln \left(5\right)}\right)}{x \,{\mathrm e}^{8 x}+4 x^{2} {\mathrm e}^{6 x}+\left(\ln \left(5\right)-2 x \,{\mathrm e}+6 x^{3}\right) {\mathrm e}^{4 x}+\left(2 x \ln \left(5\right)-4 x^{2} {\mathrm e}+4 x^{4}\right) {\mathrm e}^{2 x}+\left(-{\mathrm e}+x^{2}\right) \ln \left(5\right)+{\mathrm e}^{2} x -2 x^{3} {\mathrm e}+x^{5}}\, dx\]"," ",0,"int((2*exp(x)^8+8*x*exp(x)^6+(-8*ln(5)-4*exp(1)+12*x^2)*exp(x)^4+((-8*x-4)*ln(5)-8*x*exp(1)+8*x^3)*exp(x)^2-4*x*ln(5)+2*exp(1)^2-4*x^2*exp(1)+2*x^4)*ln((-x*exp(x)^4-2*exp(x)^2*x^2-ln(5)+x*exp(1)-x^3)/(ln(5)*exp(x)^4+2*x*ln(5)*exp(x)^2+(-exp(1)+x^2)*ln(5)))/(x*exp(x)^8+4*x^2*exp(x)^6+(ln(5)-2*x*exp(1)+6*x^3)*exp(x)^4+(2*x*ln(5)-4*x^2*exp(1)+4*x^4)*exp(x)^2+(-exp(1)+x^2)*ln(5)+x*exp(1)^2-2*x^3*exp(1)+x^5),x)","F"
776,1,42,26,0.035000," ","int(((16*x^5+8*x^4+24*x^3+40*x^2)*exp((x^3+x^2-5)/x)*ln(x)+(-2*x^4+15*x^3+2*x^2-x+20)*exp((x^3+x^2-5)/x))*exp(8*x^3*exp((x^3+x^2-5)/x)*ln(x)+(-x^2+4*x)*exp((x^3+x^2-5)/x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{8 \,{\mathrm e}^{\frac{x^{3}+x^{2}-5}{x}} x^{3}} {\mathrm e}^{-\left(x -4\right) x \,{\mathrm e}^{\frac{x^{3}+x^{2}-5}{x}}}$&$42$\\ \hline \end{longtable}"," ",0,"x^(8*exp((x^3+x^2-5)/x)*x^3)*exp(-(x-4)*x*exp((x^3+x^2-5)/x))","A"
777,1,13,13,0.044000," ","int(1/5*(-6*x^2*ln(5)+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{3 x^{2} \ln \left(5\right)}{5}+\frac{\ln \left(x \right)}{5}$&$13$\\ norman&$-\frac{3 x^{2} \ln \left(5\right)}{5}+\frac{\ln \left(x \right)}{5}$&$13$\\ risch&$-\frac{3 x^{2} \ln \left(5\right)}{5}+\frac{\ln \left(x \right)}{5}$&$13$\\ \hline \end{longtable}"," ",0,"-3/5*x^2*ln(5)+1/5*ln(x)","A"
778,1,137,22,0.113000," ","int(((-x^2+2*x-2)*ln(x)+(2-x)*ln(-x/(x-2))+4*x-10)/((x^2-2*x)*ln(x)^2+(2*x^2-4*x)*ln(x)+x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x -2\right)}{\ln \left(x \right)+1}-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(\frac{i x}{x -2}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{x -2}\right)^{2}+2 i \pi  \mathrm{csgn}\left(\frac{i x}{x -2}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(\frac{i x}{x -2}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i x}{x -2}\right)^{3}-2 i \pi +2 x +10}{2 \left(\ln \left(x \right)+1\right)}$&$137$\\ \hline \end{longtable}"," ",0,"-1/(ln(x)+1)*ln(x-2)-1/2*(I*Pi*csgn(I*x)*csgn(I/(x-2))*csgn(I*x/(x-2))-I*Pi*csgn(I*x)*csgn(I*x/(x-2))^2+2*I*Pi*csgn(I*x/(x-2))^2-I*Pi*csgn(I/(x-2))*csgn(I*x/(x-2))^2-I*Pi*csgn(I*x/(x-2))^3-2*I*Pi+2*x+10)/(ln(x)+1)","C"
779,1,22,18,0.066000," ","int(((x^3+x^2-18)*exp((-4*x^2*ln(2)-3*x^2+9)/x^2)*exp(x)+(4*x^2-72)*exp((-4*x^2*ln(2)-3*x^2+9)/x^2))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left({\mathrm e}^{x} x +4 x \right) {\mathrm e}^{-\frac{3 \left(x^{2}-3\right)}{x^{2}}}}{16}$&$22$\\ norman&$\frac{{\mathrm e}^{x} x^{2} {\mathrm e}^{\frac{-4 x^{2} \ln \left(2\right)-3 x^{2}+9}{x^{2}}}+4 x^{2} {\mathrm e}^{\frac{-4 x^{2} \ln \left(2\right)-3 x^{2}+9}{x^{2}}}}{x}$&$55$\\ \hline \end{longtable}"," ",0,"1/16*(exp(x)*x+4*x)*exp(-3*(x^2-3)/x^2)","A"
780,1,19,24,0.126000," ","int(1/10*((-x*exp(x+16)+2*exp(x)*x+2)*exp(exp(x))+(-2*x^2-x)*exp(x+16)+8*x+2)/exp(1/2*exp(x+16)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(2 x +1+{\mathrm e}^{{\mathrm e}^{x}}\right) x \,{\mathrm e}^{-\frac{{\mathrm e}^{x +16}}{2}}}{5}$&$19$\\ norman&$\left(\frac{x}{5}+\frac{2 x^{2}}{5}+\frac{x \,{\mathrm e}^{{\mathrm e}^{x}}}{5}\right) {\mathrm e}^{-\frac{{\mathrm e}^{x +16}}{2}}$&$26$\\ \hline \end{longtable}"," ",0,"1/5*(2*x+1+exp(exp(x)))*x*exp(-1/2*exp(x+16))","A"
781,1,92,26,0.148000," ","int(((-36*x^6+18*x^5+54*x^4-36*x^3)*exp(2*x)^2+(12*x^6+84*x^5-12*x^4-192*x^3+108*x^2)*exp(2*x)-6*x^5-50*x^4-52*x^3+180*x^2-72*x)*exp((-9*x^6+18*x^5-9*x^4)*exp(2*x)^2+(6*x^6+24*x^5-66*x^4+36*x^3)*exp(2*x)-x^6-10*x^5-13*x^4+60*x^3-36*x^2+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-9 \,{\mathrm e}^{4 x} x^{6}+6 \,{\mathrm e}^{2 x} x^{6}+18 \,{\mathrm e}^{4 x} x^{5}+24 x^{5} {\mathrm e}^{2 x}-x^{6}-9 \,{\mathrm e}^{4 x} x^{4}-66 \,{\mathrm e}^{2 x} x^{4}-10 x^{5}+36 \,{\mathrm e}^{2 x} x^{3}-13 x^{4}+60 x^{3}-36 x^{2}+5}$&$92$\\ \hline \end{longtable}"," ",0,"exp(-9*exp(4*x)*x^6+6*exp(2*x)*x^6+18*exp(4*x)*x^5+24*x^5*exp(2*x)-x^6-9*exp(4*x)*x^4-66*exp(2*x)*x^4-10*x^5+36*exp(2*x)*x^3-13*x^4+60*x^3-36*x^2+5)","B"
782,1,51,27,0.460000," ","int((((-2*x^3-12)*exp(1)^2-18*x*exp(1))*ln((x^2*exp(1)+x^3)/(x^3-3))+((6*x^3+36)*exp(1)^2+54*x*exp(1))*exp(5))/((x^4-3*x)*exp(1)+x^5-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-6 \,{\mathrm e} \,{\mathrm e}^{5} \ln \left(\frac{x^{2} {\mathrm e}+x^{3}}{x^{3}-3}\right)+{\mathrm e} \ln \left(\frac{x^{2} {\mathrm e}+x^{3}}{x^{3}-3}\right)^{2}$&$51$\\ risch&$-4 \,{\mathrm e} \ln \left(x \right)^{2}-2 \,{\mathrm e} \ln \left(x +\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}\right) \ln \left(\frac{x^{2} \left(x +{\mathrm e}\right)}{x^{3}-3}\right)-2 \,{\mathrm e} \ln \left(x +\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}\right) \ln \left(\frac{i \left(-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}\right) \sqrt{3}+\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}-2 x}{\left(-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}\right) \left(i \sqrt{3}-3\right)}\right)-2 \,{\mathrm e} \ln \left(x +\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}\right) \ln \left(\frac{i \left(-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}\right) \sqrt{3}-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}+2 x}{\left(-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}\right) \left(i \sqrt{3}+3\right)}\right)+2 \,{\mathrm e} \ln \left(x +\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}\right) \ln \left(\frac{x +{\mathrm e}}{-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}+{\mathrm e}}\right)+4 \,{\mathrm e} \ln \left(x +\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}\right) \ln \left(\frac{x}{-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}}\right)-2 \,{\mathrm e} \ln \left(x +\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}\right) \ln \left(\frac{x^{2} \left(x +{\mathrm e}\right)}{x^{3}-3}\right)-2 \,{\mathrm e} \ln \left(x +\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}\right) \ln \left(\frac{i \left(-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}\right) \sqrt{3}+\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}-2 x}{\left(-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}\right) \left(i \sqrt{3}-3\right)}\right)-2 \,{\mathrm e} \ln \left(x +\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}\right) \ln \left(\frac{i \left(-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}\right) \sqrt{3}-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}+2 x}{\left(-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}\right) \left(i \sqrt{3}+3\right)}\right)+2 \,{\mathrm e} \ln \left(x +\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}\right) \ln \left(\frac{x +{\mathrm e}}{-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}+{\mathrm e}}\right)+4 \,{\mathrm e} \ln \left(x +\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}\right) \ln \left(\frac{x}{-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}}\right)+4 \,{\mathrm e} \ln \left(x \right) \ln \left(\frac{-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}-x}{-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}}\right)+4 \,{\mathrm e} \ln \left(x \right) \ln \left(\frac{-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}-x}{-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}}\right)-2 \,{\mathrm e} \ln \left(x -3^{\frac{1}{3}}\right) \ln \left(\frac{\left(i 3^{\frac{5}{6}}-3^{\frac{1}{3}}-2 x \right) 3^{\frac{2}{3}}}{3 i \sqrt{3}-9}\right)-2 \,{\mathrm e} \ln \left(x -3^{\frac{1}{3}}\right) \ln \left(\frac{\left(i 3^{\frac{5}{6}}+3^{\frac{1}{3}}+2 x \right) 3^{\frac{2}{3}}}{3 i \sqrt{3}+9}\right)-2 \,{\mathrm e} \dilog \left(\frac{\left(i 3^{\frac{5}{6}}-3^{\frac{1}{3}}-2 x \right) 3^{\frac{2}{3}}}{3 i \sqrt{3}-9}\right)-2 \,{\mathrm e} \dilog \left(\frac{\left(i 3^{\frac{5}{6}}+3^{\frac{1}{3}}+2 x \right) 3^{\frac{2}{3}}}{3 i \sqrt{3}+9}\right)+4 \,{\mathrm e} \dilog \left(\frac{-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}-x}{-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}}\right)-2 \,{\mathrm e} \dilog \left(\frac{i \left(-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}\right) \sqrt{3}+\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}-2 x}{\left(-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}\right) \left(i \sqrt{3}-3\right)}\right)-2 \,{\mathrm e} \dilog \left(\frac{i \left(-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}\right) \sqrt{3}-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}+2 x}{\left(-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}\right) \left(i \sqrt{3}+3\right)}\right)+2 \,{\mathrm e} \dilog \left(\frac{x +{\mathrm e}}{-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}+{\mathrm e}}\right)+4 \,{\mathrm e} \dilog \left(\frac{x}{-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}}\right)-2 \,{\mathrm e} \dilog \left(\frac{i \left(-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}\right) \sqrt{3}+\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}-2 x}{\left(-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}\right) \left(i \sqrt{3}-3\right)}\right)-2 \,{\mathrm e} \dilog \left(\frac{i \left(-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}\right) \sqrt{3}-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}+2 x}{\left(-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}\right) \left(i \sqrt{3}+3\right)}\right)+2 \,{\mathrm e} \dilog \left(\frac{x +{\mathrm e}}{-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}+{\mathrm e}}\right)+4 \,{\mathrm e} \dilog \left(\frac{x}{-\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}}\right)-{\mathrm e} \ln \left(x +\frac{3^{\frac{1}{3}}}{2}-\frac{i 3^{\frac{5}{6}}}{2}\right)^{2}-{\mathrm e} \ln \left(x +\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}\right)^{2}+2 \,{\mathrm e} \dilog \left(\frac{x +{\mathrm e}}{3^{\frac{1}{3}}+{\mathrm e}}\right)+4 \,{\mathrm e} \dilog \left(\frac{x 3^{\frac{2}{3}}}{3}\right)-4 \,{\mathrm e} \dilog \left(-{\mathrm e}^{-1} x \right)-2 \,{\mathrm e} \left(\munderset{\textit{\_R1} =\RootOf \left(-3 \textit{\_Z}^{2} {\mathrm e}+\textit{\_Z}^{3}+3 \,{\mathrm e}^{2} \textit{\_Z} -{\mathrm e}^{3}-3\right)}{\sum}\left(-\ln \left(x +{\mathrm e}\right) \ln \left(\frac{\textit{\_R1} -x -{\mathrm e}}{\textit{\_R1}}\right)-\dilog \left(\frac{\textit{\_R1} -x -{\mathrm e}}{\textit{\_R1}}\right)\right)\right)-4 \,{\mathrm e} \dilog \left(\left(x +{\mathrm e}\right) {\mathrm e}^{-1}\right)+4 \,{\mathrm e} \dilog \left(\frac{-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}-x}{-\frac{3^{\frac{1}{3}}}{2}+\frac{i 3^{\frac{5}{6}}}{2}}\right)+4 \,{\mathrm e} \dilog \left(\frac{\left(3^{\frac{1}{3}}-x \right) 3^{\frac{2}{3}}}{3}\right)-2 \,{\mathrm e} \ln \left(x -3^{\frac{1}{3}}\right) \ln \left(\frac{x^{2} \left(x +{\mathrm e}\right)}{x^{3}-3}\right)+2 \,{\mathrm e} \ln \left(x -3^{\frac{1}{3}}\right) \ln \left(\frac{x +{\mathrm e}}{3^{\frac{1}{3}}+{\mathrm e}}\right)+4 \,{\mathrm e} \ln \left(x -3^{\frac{1}{3}}\right) \ln \left(\frac{x 3^{\frac{2}{3}}}{3}\right)-{\mathrm e} \ln \left(x -3^{\frac{1}{3}}\right)^{2}-12 \,{\mathrm e}^{6} \ln \left(x \right)+6 \,{\mathrm e}^{6} \ln \left(x^{3}-3\right)-6 \,{\mathrm e}^{6} \ln \left(x +{\mathrm e}\right)-{\mathrm e} \ln \left(x +{\mathrm e}\right)^{2}+4 \,{\mathrm e} \ln \left(x \right) \ln \left(\frac{\left(3^{\frac{1}{3}}-x \right) 3^{\frac{2}{3}}}{3}\right)+4 \,{\mathrm e} \ln \left(x \right) \ln \left(\frac{x^{2} \left(x +{\mathrm e}\right)}{x^{3}-3}\right)+2 \,{\mathrm e} \ln \left(x +{\mathrm e}\right) \ln \left(\frac{x^{2} \left(x +{\mathrm e}\right)}{x^{3}-3}\right)-4 \,{\mathrm e} \ln \left(x \right) \ln \left(\left(x +{\mathrm e}\right) {\mathrm e}^{-1}\right)-4 \,{\mathrm e} \ln \left(x +{\mathrm e}\right) \ln \left(-{\mathrm e}^{-1} x \right)$&$1571$\\ default&$\text{Expression too large to display}$&$6712$\\ \hline \end{longtable}"," ",0,"-6*exp(1)*exp(5)*ln((x^2*exp(1)+x^3)/(x^3-3))+exp(1)*ln((x^2*exp(1)+x^3)/(x^3-3))^2","A"
783,1,42,30,0.098000," ","int(((-2*x+2)*ln(x)^2*ln(1/3*exp(x))+(3*x^2-2*x)*ln(x)^2+(-x^4+4*x^3-4*x^2)*ln(x)+x^4-5*x^3+8*x^2-4*x)/(x^4-4*x^3+4*x^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{2}{x -2}-\frac{x}{\ln \left(x \right)}+\frac{1}{\ln \left(x \right)}+\frac{\ln \left(\frac{{\mathrm e}^{x}}{3}\right)}{2 x -4}-\frac{\ln \left(\frac{{\mathrm e}^{x}}{3}\right)}{2 x}$&$42$\\ risch&$\frac{\ln \left({\mathrm e}^{x}\right)}{\left(x -2\right) x}-\frac{2 x^{3}+2 \ln \left(3\right) \ln \left(x \right)-6 x^{2}+4 x \ln \left(x \right)+4 x}{2 \ln \left(x \right) \left(x -2\right) x}$&$53$\\ \hline \end{longtable}"," ",0,"-2/(x-2)-x/ln(x)+1/ln(x)+1/2*ln(1/3*exp(x))/(x-2)-1/2*ln(1/3*exp(x))/x","A"
784,1,22,22,0.403000," ","int(((x^3+x)*exp(1)*ln(5*x^4/(6*x^2+6))+(2*x^3+4*x)*exp(1)+x^2+1)*exp(x*exp(1)*ln(5*x^4/(6*x^2+6)))/(x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \left(\frac{5 x^{4}}{6 x^{2}+6}\right)^{x \,{\mathrm e}}$&$22$\\ norman&$x \,{\mathrm e}^{x \,{\mathrm e} \ln \left(\frac{5 x^{4}}{6 x^{2}+6}\right)}$&$23$\\ \hline \end{longtable}"," ",0,"x*(5*x^4/(6*x^2+6))^(x*exp(1))","A"
785,1,14,20,0.020000," ","int(1/5*(-10*x^2+17*x+10)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+\frac{17 x}{5}+2 \ln \left(x \right)$&$14$\\ norman&$-x^{2}+\frac{17 x}{5}+2 \ln \left(x \right)$&$14$\\ risch&$-x^{2}+\frac{17 x}{5}+2 \ln \left(x \right)$&$14$\\ \hline \end{longtable}"," ",0,"-x^2+17/5*x+2*ln(x)","A"
786,1,32,24,0.034000," ","int(((20*x^3-25*x^2-15*x)*exp(5-x)*ln(x)+(4*x^2+3*x)*exp(5-x)-3*ln(5))/((4*x^3+3*x^2)*exp(5-x)-3*x*ln(5))/(1/3*(4*x^2+3*x)*exp(5-x)-ln(5))^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{243 \ln \left(x \right)}{\left(-4 \,{\mathrm e}^{5-x} x^{2}-3 x \,{\mathrm e}^{5-x}+3 \ln \left(5\right)\right)^{5}}$&$32$\\ \hline \end{longtable}"," ",0,"-243/(-4*exp(5-x)*x^2-3*x*exp(5-x)+3*ln(5))^5*ln(x)","A"
787,1,42,30,0.065000," ","int((((-6*x^3+18*x^2)*ln(5*x-15)+(6*x^3-18*x^2)*exp(x)+6*x^4-18*x^3)*ln(ln(5*x-15)-exp(x)-x)^2+(8*x-24)*exp(x)+8*x-32)*exp((-x^3*ln(ln(5*x-15)-exp(x)-x)+4)/ln(ln(5*x-15)-exp(x)-x))^2/((x-3)*ln(5*x-15)+(3-x)*exp(x)-x^2+3*x)/ln(ln(5*x-15)-exp(x)-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 \left(x^{3} \ln \left(\ln \left(5 x -15\right)-{\mathrm e}^{x}-x \right)-4\right)}{\ln \left(\ln \left(5 x -15\right)-{\mathrm e}^{x}-x \right)}}$&$42$\\ \hline \end{longtable}"," ",0,"exp(-2*(x^3*ln(ln(5*x-15)-exp(x)-x)-4)/ln(ln(5*x-15)-exp(x)-x))","A"
788,1,16,16,0.054000," ","int(((5*exp(x)*x-5)*exp(3+exp(x))+x^2*exp(x)*exp(exp(x))+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(5 \,{\mathrm e}^{3}+x \right) {\mathrm e}^{{\mathrm e}^{x}}}{x}$&$16$\\ norman&$\frac{x^{2}+x \,{\mathrm e}^{{\mathrm e}^{x}}+5 \,{\mathrm e}^{3} {\mathrm e}^{{\mathrm e}^{x}}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"x+1/x*(5*exp(3)+x)*exp(exp(x))","A"
789,1,9,19,0.012000," ","int(-3/16*x^2+6*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x^{2} \left(x -48\right)}{16}$&$9$\\ default&$-\frac{1}{16} x^{3}+3 x^{2}$&$12$\\ norman&$-\frac{1}{16} x^{3}+3 x^{2}$&$12$\\ risch&$-\frac{1}{16} x^{3}+3 x^{2}$&$12$\\ \hline \end{longtable}"," ",0,"-1/16*x^2*(x-48)","A"
790,1,28,21,0.081000," ","int(((162*x*exp(4)^2+54*x^2*exp(4)+4*x^3)*ln(x)+(-81*x^2+729*x)*exp(4)^2+(-36*x^3+252*x^2)*exp(4)-3*x^4+19*x^3)/(ln(x)^2+(-2*x+10)*ln(x)+x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(81 \,{\mathrm e}^{8}+18 x \,{\mathrm e}^{4}+x^{2}\right) x^{2}}{-\ln \left(x \right)+x -5}$&$28$\\ norman&$\frac{-x^{4}-81 x^{2} {\mathrm e}^{8}-18 x^{3} {\mathrm e}^{4}}{-\ln \left(x \right)+x -5}$&$33$\\ \hline \end{longtable}"," ",0,"-(81*exp(8)+18*x*exp(4)+x^2)*x^2/(-ln(x)+x-5)","A"
791,1,35,25,0.049000," ","int(((180*x*exp(-x-1)^4+(180*x^2+930*x)*exp(-x-1)^2-90*x^2-510*x)*ln(x)+(x+27)*exp(-x-1)^6+(3*x^2+93*x+414)*exp(-x-1)^4+(3*x^3+105*x^2+876*x+2091)*exp(-x-1)^2+x^4+39*x^3+462*x^2+2155*x+3468)/(x*exp(-x-1)^6+(3*x^2+12*x)*exp(-x-1)^4+(3*x^3+24*x^2+48*x)*exp(-x-1)^2+x^4+12*x^3+48*x^2+64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{15 \left(6 \,{\mathrm e}^{-2 x -2}+6 x +29\right) \ln \left(x \right)}{\left({\mathrm e}^{-2 x -2}+4+x \right)^{2}}+x +27 \ln \left(x \right)$&$35$\\ \hline \end{longtable}"," ",0,"15*(6*exp(-2*x-2)+6*x+29)/(exp(-2*x-2)+4+x)^2*ln(x)+x+27*ln(x)","A"
792,1,70,25,0.146000," ","int((((2*x^4+8*x^3+8*x^2)*exp(x)-2*x^4-8*x^3-8*x^2)*exp(exp(x)+exp(4)-x)*exp(exp(exp(x)+exp(4)-x))^2+((((2*x^4+8*x^3+8*x^2)*exp(2/(x^2+2*x))+2*x^5+8*x^4+8*x^3)*exp(x)+(-2*x^4-8*x^3-8*x^2)*exp(2/(x^2+2*x))-2*x^5-8*x^4-8*x^3)*exp(exp(x)+exp(4)-x)+(-8*x-8)*exp(2/(x^2+2*x))+2*x^4+8*x^3+8*x^2)*exp(exp(exp(x)+exp(4)-x))+(-8*x-8)*exp(2/(x^2+2*x))^2+(2*x^4+8*x^3-8*x)*exp(2/(x^2+2*x))+2*x^5+8*x^4+8*x^3)/(x^4+4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+2 x \,{\mathrm e}^{\frac{2}{x \left(2+x \right)}}+{\mathrm e}^{\frac{4}{x \left(2+x \right)}}+{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{4}-x}}+\left(2 x +2 \,{\mathrm e}^{\frac{2}{x \left(2+x \right)}}\right) {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{4}-x}}$&$70$\\ \hline \end{longtable}"," ",0,"x^2+2*x*exp(2/x/(2+x))+exp(4/x/(2+x))+exp(2*exp(exp(x)+exp(4)-x))+(2*x+2*exp(2/x/(2+x)))*exp(exp(exp(x)+exp(4)-x))","B"
793,1,29,23,0.048000," ","int(((-4*x^3+96*x^2-512*x+1)*exp(x)^2+(8*x^4-192*x^3+1024*x^2-3*x+1)*exp(x)-4*x^5+96*x^4-512*x^3+x^2)/(exp(x)^2-2*exp(x)*x+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{4}+32 x^{3}-256 x^{2}+x -\frac{x}{x -{\mathrm e}^{x}}$&$29$\\ norman&$\frac{x^{2}-x +{\mathrm e}^{x} x^{4}-256 x^{3}+32 x^{4}-x^{5}-{\mathrm e}^{x} x +256 \,{\mathrm e}^{x} x^{2}-32 \,{\mathrm e}^{x} x^{3}}{x -{\mathrm e}^{x}}$&$57$\\ \hline \end{longtable}"," ",0,"-x^4+32*x^3-256*x^2+x-x/(x-exp(x))","A"
794,1,22,10,0.017000," ","int(1/3*(-4*x-8)*ln(x)-10*x-64/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{56 x}{3}-\frac{14 x^{2}}{3}-\frac{8 x \ln \left(x \right)}{3}-\frac{2 x^{2} \ln \left(x \right)}{3}$&$22$\\ norman&$-\frac{56 x}{3}-\frac{14 x^{2}}{3}-\frac{8 x \ln \left(x \right)}{3}-\frac{2 x^{2} \ln \left(x \right)}{3}$&$22$\\ risch&$\frac{\left(-2 x^{2}-8 x \right) \ln \left(x \right)}{3}-\frac{14 x^{2}}{3}-\frac{56 x}{3}$&$23$\\ \hline \end{longtable}"," ",0,"-56/3*x-14/3*x^2-8/3*x*ln(x)-2/3*x^2*ln(x)","B"
795,1,22,18,0.062000," ","int(((16*x^2-16*x-128)*ln(-x^2+x+8)-84*x^2+68*x+416)/((16*x^2-16*x-128)*ln(-x^2+x+8)^2+(16*x^3-120*x^2-24*x+832)*ln(-x^2+x+8)+4*x^4-56*x^3+189*x^2+247*x-1352),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x}{4 \ln \left(-x^{2}+x +8\right)+2 x -13}$&$22$\\ norman&$\frac{-8 \ln \left(-x^{2}+x +8\right)+26}{4 \ln \left(-x^{2}+x +8\right)+2 x -13}$&$33$\\ \hline \end{longtable}"," ",0,"4*x/(4*ln(-x^2+x+8)+2*x-13)","A"
796,1,32,23,0.043000," ","int(((9*x+5)*ln(2*x)-30*x^2-24*x+9)/((3*x^2+5*x)*ln(2*x)-6*x^3-10*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(2 x \right)+2 \ln \left(6 x^{2}-3 x \ln \left(2 x \right)+10 x -5 \ln \left(2 x \right)+1\right)$&$32$\\ risch&$2 \ln \left(3 x +5\right)+\ln \left(x \right)+2 \ln \left(\ln \left(2 x \right)-\frac{6 x^{2}+10 x +1}{3 x +5}\right)$&$39$\\ \hline \end{longtable}"," ",0,"ln(2*x)+2*ln(6*x^2-3*x*ln(2*x)+10*x-5*ln(2*x)+1)","A"
797,1,44,27,0.770000," ","int(((16*x^4*ln(x)^2+(-24*x^5+160*x^4)*ln(x)-96*x^5+400*x^4)*exp(3*x/(2*ln(x)+10))+(-16*x^3*ln(1/x)-8*x^3)*ln(x)^2+(-160*x^3*ln(1/x)-80*x^3)*ln(x)-400*x^3*ln(1/x)-200*x^3)*exp(4*x^4/(4*x^2*exp(3*x/(2*ln(x)+10))^2-4*x*ln(1/x)*exp(3*x/(2*ln(x)+10))+ln(1/x)^2))/((8*x^3*ln(x)^2+80*x^3*ln(x)+200*x^3)*exp(3*x/(2*ln(x)+10))^3+(-12*x^2*ln(1/x)*ln(x)^2-120*x^2*ln(1/x)*ln(x)-300*x^2*ln(1/x))*exp(3*x/(2*ln(x)+10))^2+(6*x*ln(1/x)^2*ln(x)^2+60*x*ln(1/x)^2*ln(x)+150*x*ln(1/x)^2)*exp(3*x/(2*ln(x)+10))-ln(1/x)^3*ln(x)^2-10*ln(1/x)^3*ln(x)-25*ln(1/x)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{4 x^{4}}{4 x^{2} {\mathrm e}^{\frac{3 x}{5+\ln \left(x \right)}}+4 \ln \left(x \right) {\mathrm e}^{\frac{3 x}{2 \left(5+\ln \left(x \right)\right)}} x +\ln \left(x \right)^{2}}}$&$44$\\ \hline \end{longtable}"," ",0,"exp(4*x^4/(4*x^2*exp(3*x/(5+ln(x)))+4*ln(x)*exp(3/2*x/(5+ln(x)))*x+ln(x)^2))","A"
798,1,27,26,0.181000," ","int((5*x*ln(ln(-2*exp(2)+8)/x)^2-10*x*ln(ln(-2*exp(2)+8)/x)-10*x+40)/x/ln(ln(-2*exp(2)+8)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x -\frac{10 \left(x -4\right)}{\ln \left(\frac{\ln \left(2\right)+\ln \left(-{\mathrm e}^{2}+4\right)}{x}\right)}$&$27$\\ norman&$\frac{40-10 x +5 x \ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)}{\ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)}$&$36$\\ derivativedivides&$\frac{5 \ln \left(2\right) x}{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}+\frac{5 \ln \left(-{\mathrm e}^{2}+4\right) x}{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}-10 \ln \left(2\right) \expIntegralEi \left(1, \ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)\right)-10 \ln \left(-{\mathrm e}^{2}+4\right) \expIntegralEi \left(1, \ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)\right)+10 \ln \left(2\right) \left(-\frac{x}{\ln \left(-2 \,{\mathrm e}^{2}+8\right) \ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)}+\expIntegralEi \left(1, \ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)\right)\right)+10 \ln \left(-{\mathrm e}^{2}+4\right) \left(-\frac{x}{\ln \left(-2 \,{\mathrm e}^{2}+8\right) \ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)}+\expIntegralEi \left(1, \ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)\right)\right)+\frac{40}{\ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)}$&$187$\\ default&$\frac{5 \ln \left(2\right) x}{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}+\frac{5 \ln \left(-{\mathrm e}^{2}+4\right) x}{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}-10 \ln \left(2\right) \expIntegralEi \left(1, \ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)\right)-10 \ln \left(-{\mathrm e}^{2}+4\right) \expIntegralEi \left(1, \ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)\right)+10 \ln \left(2\right) \left(-\frac{x}{\ln \left(-2 \,{\mathrm e}^{2}+8\right) \ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)}+\expIntegralEi \left(1, \ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)\right)\right)+10 \ln \left(-{\mathrm e}^{2}+4\right) \left(-\frac{x}{\ln \left(-2 \,{\mathrm e}^{2}+8\right) \ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)}+\expIntegralEi \left(1, \ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)\right)\right)+\frac{40}{\ln \left(\frac{\ln \left(-2 \,{\mathrm e}^{2}+8\right)}{x}\right)}$&$187$\\ \hline \end{longtable}"," ",0,"5*x-10*(x-4)/ln((ln(2)+ln(-exp(2)+4))/x)","A"
799,1,2495,23,2.664000," ","int((((-x^2-7*x-6)*exp(x)^2+(8*x^2+60*x+52)*exp(x)-16*x^2-128*x-112)*ln(((x+6)*exp(x)-4*x-28)/(exp(x)-4))+x*exp(x)^2-4*exp(x)*x+16*x)/(((x^2+6*x)*exp(x)^2+(-8*x^2-52*x)*exp(x)+16*x^2+112*x)*ln(((x+6)*exp(x)-4*x-28)/(exp(x)-4))*ln(x/ln(((x+6)*exp(x)-4*x-28)/(exp(x)-4)))^2+((2*x^3+12*x^2)*exp(x)^2+(-16*x^3-104*x^2)*exp(x)+32*x^3+224*x^2)*ln(((x+6)*exp(x)-4*x-28)/(exp(x)-4))*ln(x/ln(((x+6)*exp(x)-4*x-28)/(exp(x)-4)))+((x^4+6*x^3)*exp(x)^2+(-8*x^4-52*x^3)*exp(x)+16*x^4+112*x^3)*ln(((x+6)*exp(x)-4*x-28)/(exp(x)-4))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2495$\\ \hline \end{longtable}"," ",0,"2*I/(Pi*csgn(I*x)*csgn(I/(-Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))+Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2+Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2-Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^3+2*I*ln(exp(x)-4)-2*I*ln(x*(exp(x)-4)+6*exp(x)-28)))*csgn(I*x/(-Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))+Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2+Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2-Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^3+2*I*ln(exp(x)-4)-2*I*ln(x*(exp(x)-4)+6*exp(x)-28)))-Pi*csgn(I*x)*csgn(I*x/(-Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))+Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2+Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2-Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^3+2*I*ln(exp(x)-4)-2*I*ln(x*(exp(x)-4)+6*exp(x)-28)))^2+Pi*csgn(I*x/(-Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))+Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2+Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2-Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^3+2*I*ln(exp(x)-4)-2*I*ln(x*(exp(x)-4)+6*exp(x)-28)))*csgn(x/(-Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))+Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2+Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2-Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^3+2*I*ln(exp(x)-4)-2*I*ln(x*(exp(x)-4)+6*exp(x)-28)))+Pi*csgn(x/(-Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))+Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2+Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2-Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^3+2*I*ln(exp(x)-4)-2*I*ln(x*(exp(x)-4)+6*exp(x)-28)))^2+Pi*csgn(I/(-Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))+Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2+Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2-Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^3+2*I*ln(exp(x)-4)-2*I*ln(x*(exp(x)-4)+6*exp(x)-28)))*csgn(I*x/(-Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))+Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2+Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2-Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^3+2*I*ln(exp(x)-4)-2*I*ln(x*(exp(x)-4)+6*exp(x)-28)))^2-Pi*csgn(I*x/(-Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))+Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2+Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2-Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^3+2*I*ln(exp(x)-4)-2*I*ln(x*(exp(x)-4)+6*exp(x)-28)))^3+Pi*csgn(I*x/(-Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))+Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2+Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2-Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^3+2*I*ln(exp(x)-4)-2*I*ln(x*(exp(x)-4)+6*exp(x)-28)))*csgn(x/(-Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))+Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2+Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2-Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^3+2*I*ln(exp(x)-4)-2*I*ln(x*(exp(x)-4)+6*exp(x)-28)))^2+Pi*csgn(x/(-Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))+Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2+Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2-Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^3+2*I*ln(exp(x)-4)-2*I*ln(x*(exp(x)-4)+6*exp(x)-28)))^3-Pi+2*I*ln(2)+2*I*x+2*I*ln(x)-2*I*ln(Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))-Pi*csgn(I/(exp(x)-4))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2-Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28))*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^2+Pi*csgn(I*(x*(exp(x)-4)+6*exp(x)-28)/(exp(x)-4))^3-2*I*ln(exp(x)-4)+2*I*ln(x*(exp(x)-4)+6*exp(x)-28)))","C"
800,1,46,20,0.033000," ","int(1/25*((-2*x^2-25*x)*ln(x)+(x^3+27*x^2-75*x)*exp(x)-3*x^3-37*x^2+250*x+100)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{2} \ln \left(x \right)}{25}-\frac{18 x^{2}}{25}-x \ln \left(x \right)+11 x +\frac{{\mathrm e}^{x} x^{2}}{25}+{\mathrm e}^{x} x -4 \,{\mathrm e}^{x}-\frac{x^{3}}{25}+4 \ln \left(x \right)$&$46$\\ norman&$-\frac{x^{2} \ln \left(x \right)}{25}-\frac{18 x^{2}}{25}-x \ln \left(x \right)+11 x +\frac{{\mathrm e}^{x} x^{2}}{25}+{\mathrm e}^{x} x -4 \,{\mathrm e}^{x}-\frac{x^{3}}{25}+4 \ln \left(x \right)$&$46$\\ risch&$\frac{\left(-x^{2}-25 x \right) \ln \left(x \right)}{25}-\frac{x^{3}}{25}+\frac{{\mathrm e}^{x} x^{2}}{25}-\frac{18 x^{2}}{25}+{\mathrm e}^{x} x +4 \ln \left(x \right)+11 x -4 \,{\mathrm e}^{x}$&$47$\\ \hline \end{longtable}"," ",0,"-1/25*x^2*ln(x)-18/25*x^2-x*ln(x)+11*x+1/25*exp(x)*x^2+exp(x)*x-4*exp(x)-1/25*x^3+4*ln(x)","B"
801,1,12,16,0.036000," ","int((exp(3)^2+128*x^3-1536*x^2+6144*x-8192)/(128*x^3-1536*x^2+6144*x-8192),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\frac{{\mathrm e}^{6}}{256 \left(x -4\right)^{2}}$&$12$\\ risch&$x -\frac{{\mathrm e}^{6}}{256 \left(x^{2}-8 x +16\right)}$&$17$\\ norman&$\frac{x^{3}-48 x +128-\frac{{\mathrm e}^{6}}{256}}{\left(x -4\right)^{2}}$&$21$\\ gosper&$-\frac{-256 x^{3}+{\mathrm e}^{6}+12288 x -32768}{256 \left(x^{2}-8 x +16\right)}$&$27$\\ \hline \end{longtable}"," ",0,"x-1/256*exp(6)/(x-4)^2","A"
802,1,155,22,0.319000," ","int(((60*x^8-320*x^6+480*x^4-320)*exp(5)^5+(300*x^9-1400*x^7+1680*x^5+480*x^3-1280*x)*exp(5)^4+(600*x^10-2440*x^8+2400*x^6+960*x^4-1600*x^2)*exp(5)^3+(600*x^11-2120*x^9+1800*x^7+600*x^5-880*x^3)*exp(5)^2+(300*x^12-920*x^10+720*x^8+120*x^6-220*x^4)*exp(5)+60*x^13-160*x^11+120*x^9-20*x^5)/(x^3*exp(5)^5+5*x^4*exp(5)^4+10*x^5*exp(5)^3+10*x^6*exp(5)^2+5*x^7*exp(5)+x^8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$10 x^{6}-40 x \,{\mathrm e}^{15}+40 x^{2} {\mathrm e}^{10}-40 x^{3} {\mathrm e}^{5}-40 x^{4}+120 x \,{\mathrm e}^{5}+60 x^{2}+\frac{\left(-40 \,{\mathrm e}^{25}-120 \,{\mathrm e}^{5}\right) x^{5}+\left(-120 \,{\mathrm e}^{30}+60 \,{\mathrm e}^{20}-480 \,{\mathrm e}^{10}+10\right) x^{4}+\left(-120 \,{\mathrm e}^{35}+120 \,{\mathrm e}^{25}-640 \,{\mathrm e}^{15}+80 \,{\mathrm e}^{5}\right) x^{3}+\left(-40 \,{\mathrm e}^{40}+60 \,{\mathrm e}^{30}-280 \,{\mathrm e}^{20}+240 \,{\mathrm e}^{10}\right) x^{2}+320 x \,{\mathrm e}^{15}+160 \,{\mathrm e}^{20}}{x^{2} \left({\mathrm e}^{20}+4 x \,{\mathrm e}^{15}+6 x^{2} {\mathrm e}^{10}+4 x^{3} {\mathrm e}^{5}+x^{4}\right)}$&$155$\\ norman&$\frac{\left(-40+60 \,{\mathrm e}^{10}\right) x^{10}+\left(-280 \,{\mathrm e}^{15}+360 \,{\mathrm e}^{5}\right) x^{7}+\left(40 \,{\mathrm e}^{15}-200 \,{\mathrm e}^{5}\right) x^{9}+80 \,{\mathrm e}^{5} \left(4 \,{\mathrm e}^{30}-39 \,{\mathrm e}^{20}-8 \,{\mathrm e}^{10}+1\right) x^{3}+\left(10 \,{\mathrm e}^{20}-360 \,{\mathrm e}^{10}+60\right) x^{8}+\left(320 \,{\mathrm e}^{25}-2400 \,{\mathrm e}^{15}-120 \,{\mathrm e}^{5}\right) x^{5}+\left(480 \,{\mathrm e}^{30}-4440 \,{\mathrm e}^{20}-480 \,{\mathrm e}^{10}+10\right) x^{4}+\left(80 \,{\mathrm e}^{40}-780 \,{\mathrm e}^{30}-280 \,{\mathrm e}^{20}+240 \,{\mathrm e}^{10}\right) x^{2}+10 x^{12}+160 \,{\mathrm e}^{20}+320 x \,{\mathrm e}^{15}+40 \,{\mathrm e}^{5} x^{11}}{x^{2} \left({\mathrm e}^{5}+x \right)^{4}}$&$198$\\ default&$10 x^{6}-3840 x \,{\mathrm e}^{15}+40 x^{2} {\mathrm e}^{10}-40 x^{3} {\mathrm e}^{5}-40 x^{4}+3800 \,{\mathrm e}^{5} {\mathrm e}^{10} x +120 x \,{\mathrm e}^{5}+60 x^{2}+\frac{160 \,{\mathrm e}^{50} {\mathrm e}^{-50}}{x^{2}}-\frac{320 \,{\mathrm e}^{-50} {\mathrm e}^{45}}{x}-4 \,{\mathrm e}^{-50} \left(\munderset{\textit{\_R} =\RootOf \left({\mathrm e}^{25}+5 \textit{\_Z} \,{\mathrm e}^{20}+10 \textit{\_Z}^{2} {\mathrm e}^{15}+10 \textit{\_Z}^{3} {\mathrm e}^{10}+5 \textit{\_Z}^{4} {\mathrm e}^{5}+\textit{\_Z}^{5}\right)}{\sum}\frac{\left(2 \left(-3 \,{\mathrm e}^{55}-{\mathrm e}^{75}+8 \,{\mathrm e}^{45}\right) \textit{\_R}^{3}+\left(65 \,{\mathrm e}^{50}-30 \,{\mathrm e}^{60}+6 \,{\mathrm e}^{70}-6 \,{\mathrm e}^{80}\right) \textit{\_R}^{2}+\left(-48 \,{\mathrm e}^{65}-6 \,{\mathrm e}^{85}+91 \,{\mathrm e}^{55}+12 \,{\mathrm e}^{75}\right) \textit{\_R} +44 \,{\mathrm e}^{60}-24 \,{\mathrm e}^{70}+6 \,{\mathrm e}^{80}-2 \,{\mathrm e}^{90}\right) \ln \left(x -\textit{\_R} \right)}{{\mathrm e}^{20}+4 \textit{\_R} \,{\mathrm e}^{15}+6 \textit{\_R}^{2} {\mathrm e}^{10}+4 \textit{\_R}^{3} {\mathrm e}^{5}+\textit{\_R}^{4}}\right)$&$231$\\ gosper&$\frac{-280 x^{2} {\mathrm e}^{20}+320 x \,{\mathrm e}^{15}+160 \,{\mathrm e}^{20}+10 x^{12}+60 x^{8}-40 x^{10}+10 x^{4}-3120 x^{3} {\mathrm e}^{25}+360 x^{7} {\mathrm e}^{5}-120 x^{5} {\mathrm e}^{5}+80 x^{3} {\mathrm e}^{5}+80 x^{2} {\mathrm e}^{40}-200 \,{\mathrm e}^{5} x^{9}+40 \,{\mathrm e}^{5} x^{11}+10 x^{8} {\mathrm e}^{20}+40 \,{\mathrm e}^{15} x^{9}+60 \,{\mathrm e}^{10} x^{10}+320 \,{\mathrm e}^{35} x^{3}+480 \,{\mathrm e}^{30} x^{4}+320 \,{\mathrm e}^{25} x^{5}-280 \,{\mathrm e}^{15} x^{7}-360 \,{\mathrm e}^{10} x^{8}-780 \,{\mathrm e}^{30} x^{2}-4440 x^{4} {\mathrm e}^{20}-2400 x^{5} {\mathrm e}^{15}+240 x^{2} {\mathrm e}^{10}-640 x^{3} {\mathrm e}^{15}-480 x^{4} {\mathrm e}^{10}}{x^{2} \left({\mathrm e}^{20}+4 x \,{\mathrm e}^{15}+6 x^{2} {\mathrm e}^{10}+4 x^{3} {\mathrm e}^{5}+x^{4}\right)}$&$256$\\ \hline \end{longtable}"," ",0,"10*x^6-40*x*exp(15)+40*x^2*exp(10)-40*x^3*exp(5)-40*x^4+120*x*exp(5)+60*x^2+((-40*exp(25)-120*exp(5))*x^5+(-120*exp(30)+60*exp(20)-480*exp(10)+10)*x^4+(-120*exp(35)+120*exp(25)-640*exp(15)+80*exp(5))*x^3+(-40*exp(40)+60*exp(30)-280*exp(20)+240*exp(10))*x^2+320*x*exp(15)+160*exp(20))/x^2/(exp(20)+4*x*exp(15)+6*x^2*exp(10)+4*x^3*exp(5)+x^4)","B"
803,1,12,17,0.021000," ","int(1/81*(16038*x^2-12920*x+81)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$99 x^{2}-\frac{12920 x}{81}+\ln \left(x \right)$&$12$\\ norman&$99 x^{2}-\frac{12920 x}{81}+\ln \left(x \right)$&$12$\\ risch&$99 x^{2}-\frac{12920 x}{81}+\ln \left(x \right)$&$12$\\ \hline \end{longtable}"," ",0,"99*x^2-12920/81*x+ln(x)","A"
804,1,87,26,0.141000," ","int(((-2*x*exp(1)^2+20*x*exp(1)-50*x)*ln(4*x)+(-5*x+1)*exp(1)^2+(50*x-10)*exp(1)-125*x+25)/(4*x^3*ln(4*x)^2+(-4*x^2*ln(x)+12*x^3)*ln(4*x)+x*ln(x)^2-6*x^2*ln(x)+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{i {\mathrm e}^{2}}{4 i x \ln \left(2\right)+2 i x \ln \left(x \right)+3 i x -i \ln \left(x \right)}-\frac{10 i {\mathrm e}}{4 i x \ln \left(2\right)+2 i x \ln \left(x \right)+3 i x -i \ln \left(x \right)}+\frac{25 i}{4 i x \ln \left(2\right)+2 i x \ln \left(x \right)+3 i x -i \ln \left(x \right)}$&$87$\\ \hline \end{longtable}"," ",0,"I/(4*I*x*ln(2)+2*I*x*ln(x)+3*I*x-I*ln(x))*exp(2)-10*I/(4*I*x*ln(2)+2*I*x*ln(x)+3*I*x-I*ln(x))*exp(1)+25*I/(4*I*x*ln(2)+2*I*x*ln(x)+3*I*x-I*ln(x))","C"
805,1,73,20,0.413000," ","int(((4*x^3*exp(4)^2+(8*x^3+6*x^2)*exp(4)+4*x^3+6*x^2+2*x)*exp(x)^2+((10*x^3-30*x^2)*exp(4)+10*x^3-20*x^2-20*x)*exp(x)-50*x^2+50*x)*exp(((x^4*exp(4)^2+(2*x^4+2*x^3)*exp(4)+x^4+2*x^3+x^2)*exp(x)^2+(-10*x^3*exp(4)-10*x^3-10*x^2)*exp(x)+25*x^2)/exp(x)^2)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\left(\left(x^{4} {\mathrm e}^{8}+\left(2 x^{4}+2 x^{3}\right) {\mathrm e}^{4}+x^{4}+2 x^{3}+x^{2}\right) {\mathrm e}^{2 x}+\left(-10 x^{3} {\mathrm e}^{4}-10 x^{3}-10 x^{2}\right) {\mathrm e}^{x}+25 x^{2}\right) {\mathrm e}^{-2 x}}$&$73$\\ risch&${\mathrm e}^{-x^{2} \left(-2 x^{2} {\mathrm e}^{2 x +4}-x^{2} {\mathrm e}^{2 x +8}+10 x \,{\mathrm e}^{4+x}-2 x \,{\mathrm e}^{2 x +4}-{\mathrm e}^{2 x} x^{2}+10 \,{\mathrm e}^{x} x -2 x \,{\mathrm e}^{2 x}+10 \,{\mathrm e}^{x}-{\mathrm e}^{2 x}-25\right) {\mathrm e}^{-2 x}}$&$82$\\ \hline \end{longtable}"," ",0,"exp(((x^4*exp(4)^2+(2*x^4+2*x^3)*exp(4)+x^4+2*x^3+x^2)*exp(x)^2+(-10*x^3*exp(4)-10*x^3-10*x^2)*exp(x)+25*x^2)/exp(x)^2)","B"
806,1,61,33,0.263000," ","int((((-2*x^2+x)*exp(x)^4+(2*x*ln(3)+4*x^2-8*x)*exp(x)^2-2*x^2+x)*exp(((2*ln(2)-x^2+x+4)*exp(x)^2-2*ln(2)-ln(3)+x^2-x-1)/(exp(x)^2-1))-exp(x)^4+2*exp(x)^2-1)/(x*exp(x)^4-2*x*exp(x)^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+{\mathrm e}^{\frac{-{\mathrm e}^{2 x} x^{2}+2 \ln \left(2\right) {\mathrm e}^{2 x}+x \,{\mathrm e}^{2 x}+x^{2}-\ln \left(3\right)-2 \ln \left(2\right)+4 \,{\mathrm e}^{2 x}-x -1}{{\mathrm e}^{2 x}-1}}$&$61$\\ \hline \end{longtable}"," ",0,"-ln(x)+exp((-exp(2*x)*x^2+2*ln(2)*exp(2*x)+x*exp(2*x)+x^2-ln(3)-2*ln(2)+4*exp(2*x)-x-1)/(exp(2*x)-1))","A"
807,1,34,26,0.123000," ","int((((-4*x^2+2*x+2)*exp(x)-8*x^2+4)*exp(exp(exp(4))+x^2)^2+(-4*x^4+2*x^3)*exp(x)+4*x^3)/(x^3*exp(x)^3+6*exp(x)^2*x^3+12*exp(x)*x^3+8*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{\left({\mathrm e}^{x}+2\right)^{2}}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{4}}+2 x^{2}}}{x^{2} \left({\mathrm e}^{x}+2\right)^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"2*x/(exp(x)+2)^2-1/x^2/(exp(x)+2)^2*exp(2*exp(exp(4))+2*x^2)","A"
808,1,22,17,0.176000," ","int(((-8*x*ln(2)-4)*ln(1/2*(2*x*ln(2)+1)/ln(2))^2-16*x*ln(2)*ln(1/2*(2*x*ln(2)+1)/ln(2))+2*x*ln(2)+1)/(2*x*ln(2)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -4 x \ln \left(\frac{2 x \ln \left(2\right)+1}{2 \ln \left(2\right)}\right)^{2}$&$22$\\ risch&$x -4 x \ln \left(\frac{2 x \ln \left(2\right)+1}{2 \ln \left(2\right)}\right)^{2}$&$22$\\ derivativedivides&$-4 \left(\frac{1}{2 \ln \left(2\right)}+x \right) \ln \left(\frac{1}{2 \ln \left(2\right)}+x \right)^{2}+\frac{1}{2 \ln \left(2\right)}+x +\frac{2 \ln \left(\frac{1}{2 \ln \left(2\right)}+x \right)^{2}}{\ln \left(2\right)}$&$47$\\ default&$-4 \left(\frac{1}{2 \ln \left(2\right)}+x \right) \ln \left(\frac{1}{2 \ln \left(2\right)}+x \right)^{2}+\frac{1}{2 \ln \left(2\right)}+x +\frac{2 \ln \left(\frac{1}{2 \ln \left(2\right)}+x \right)^{2}}{\ln \left(2\right)}$&$47$\\ \hline \end{longtable}"," ",0,"x-4*x*ln(1/2*(2*x*ln(2)+1)/ln(2))^2","A"
809,1,58,22,0.077000," ","int(1/2*(-ln(x)^2+((-2*x+12)*exp(1/3*x)+25+5*x)*ln(x)+(12*x-36)*exp(1/3*x)^2+(10*x^2-6*x-150)*exp(1/3*x)-65*x-156)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{2}}{4 x^{2}}-\frac{\left(5 x +12+6 \,{\mathrm e}^{\frac{x}{3}}\right) \ln \left(x \right)}{2 x^{2}}+\frac{15 x \,{\mathrm e}^{\frac{x}{3}}+9 \,{\mathrm e}^{\frac{2 x}{3}}+30 x +36 \,{\mathrm e}^{\frac{x}{3}}+36}{x^{2}}$&$58$\\ default&$\frac{30 x \,{\mathrm e}^{\frac{x}{3}}-6 \ln \left(x \right) {\mathrm e}^{\frac{x}{3}}+72 \,{\mathrm e}^{\frac{x}{3}}}{2 x^{2}}+\frac{\ln \left(x \right)^{2}}{4 x^{2}}-\frac{6 \ln \left(x \right)}{x^{2}}+\frac{36}{x^{2}}+\frac{30}{x}-\frac{5 \ln \left(x \right)}{2 x}+\frac{9 \,{\mathrm e}^{\frac{2 x}{3}}}{x^{2}}$&$73$\\ \hline \end{longtable}"," ",0,"1/4*ln(x)^2/x^2-1/2*(5*x+12+6*exp(1/3*x))/x^2*ln(x)+3*(5*x*exp(1/3*x)+3*exp(2/3*x)+10*x+12*exp(1/3*x)+12)/x^2","B"
810,1,71,25,0.043000," ","int((((-6*x^7-20*x^6)*exp(2)-4)*ln(x)^5+(-24*x^7-80*x^6)*exp(2)*ln(x)^4+(-32*x^7-104*x^6)*exp(2)*ln(x)^3+(-12*x^7-32*x^6)*exp(2)*ln(x)^2+(6*x^7+28*x^6)*exp(2)*ln(x)+(4*x^7+16*x^6)*exp(2))/x^2/exp(2)/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{-2} \left(x^{7} {\mathrm e}^{2}+4 x^{6} {\mathrm e}^{2}-4\right)}{x}-\frac{x^{5} \left(4 x \ln \left(x \right)^{3}+6 x \ln \left(x \right)^{2}+16 \ln \left(x \right)^{3}+4 x \ln \left(x \right)+24 \ln \left(x \right)^{2}+x +16 \ln \left(x \right)+4\right)}{\ln \left(x \right)^{4}}$&$71$\\ default&${\mathrm e}^{-2} \left(-x^{6} {\mathrm e}^{2}-4 \,{\mathrm e}^{2} x^{5}+24 \,{\mathrm e}^{2} \expIntegralEi \left(1, -6 \ln \left(x \right)\right)+80 \,{\mathrm e}^{2} \expIntegralEi \left(1, -5 \ln \left(x \right)\right)-32 \,{\mathrm e}^{2} \left(-\frac{x^{6}}{\ln \left(x \right)}-6 \expIntegralEi \left(1, -6 \ln \left(x \right)\right)\right)-104 \,{\mathrm e}^{2} \left(-\frac{x^{5}}{\ln \left(x \right)}-5 \expIntegralEi \left(1, -5 \ln \left(x \right)\right)\right)-12 \,{\mathrm e}^{2} \left(-\frac{x^{6}}{2 \ln \left(x \right)^{2}}-\frac{3 x^{6}}{\ln \left(x \right)}-18 \expIntegralEi \left(1, -6 \ln \left(x \right)\right)\right)-32 \,{\mathrm e}^{2} \left(-\frac{x^{5}}{2 \ln \left(x \right)^{2}}-\frac{5 x^{5}}{2 \ln \left(x \right)}-\frac{25 \expIntegralEi \left(1, -5 \ln \left(x \right)\right)}{2}\right)+6 \,{\mathrm e}^{2} \left(-\frac{x^{6}}{3 \ln \left(x \right)^{3}}-\frac{x^{6}}{\ln \left(x \right)^{2}}-\frac{6 x^{6}}{\ln \left(x \right)}-36 \expIntegralEi \left(1, -6 \ln \left(x \right)\right)\right)+28 \,{\mathrm e}^{2} \left(-\frac{x^{5}}{3 \ln \left(x \right)^{3}}-\frac{5 x^{5}}{6 \ln \left(x \right)^{2}}-\frac{25 x^{5}}{6 \ln \left(x \right)}-\frac{125 \expIntegralEi \left(1, -5 \ln \left(x \right)\right)}{6}\right)+4 \,{\mathrm e}^{2} \left(-\frac{x^{6}}{4 \ln \left(x \right)^{4}}-\frac{x^{6}}{2 \ln \left(x \right)^{3}}-\frac{3 x^{6}}{2 \ln \left(x \right)^{2}}-\frac{9 x^{6}}{\ln \left(x \right)}-54 \expIntegralEi \left(1, -6 \ln \left(x \right)\right)\right)+16 \,{\mathrm e}^{2} \left(-\frac{x^{5}}{4 \ln \left(x \right)^{4}}-\frac{5 x^{5}}{12 \ln \left(x \right)^{3}}-\frac{25 x^{5}}{24 \ln \left(x \right)^{2}}-\frac{125 x^{5}}{24 \ln \left(x \right)}-\frac{625 \expIntegralEi \left(1, -5 \ln \left(x \right)\right)}{24}\right)+\frac{4}{x}\right)$&$330$\\ \hline \end{longtable}"," ",0,"-exp(-2)*(x^7*exp(2)+4*x^6*exp(2)-4)/x-x^5*(4*x*ln(x)^3+6*x*ln(x)^2+16*ln(x)^3+4*x*ln(x)+24*ln(x)^2+x+16*ln(x)+4)/ln(x)^4","B"
811,1,13,13,0.031000," ","int((-16*ln(16/9)-64)/exp(32*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(\ln \left(\frac{16}{9}\right)+4\right) {\mathrm e}^{-32 x}}{2}$&$13$\\ derivativedivides&$-\left(-\frac{\ln \left(\frac{16}{9}\right)}{2}-2\right) {\mathrm e}^{-32 x}$&$15$\\ default&$-\frac{\left(-16 \ln \left(\frac{16}{9}\right)-64\right) {\mathrm e}^{-32 x}}{32}$&$15$\\ norman&$\left(2 \ln \left(2\right)-\ln \left(3\right)+2\right) {\mathrm e}^{-32 x}$&$18$\\ meijerg&$-\frac{\ln \left(\frac{16}{9}\right) \left(1-{\mathrm e}^{-32 x}\right)}{2}-2+2 \,{\mathrm e}^{-32 x}$&$21$\\ risch&$2 \,{\mathrm e}^{-32 x} \ln \left(2\right)-{\mathrm e}^{-32 x} \ln \left(3\right)+2 \,{\mathrm e}^{-32 x}$&$24$\\ \hline \end{longtable}"," ",0,"1/2*(ln(16/9)+4)/exp(32*x)","A"
812,1,25,16,0.164000," ","int(((-6*x^3+4)*ln(3/4*x^2/exp(x^3))-24*x^3+16)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{3 x^{2} {\mathrm e}^{-x^{3}}}{4}\right)^{2}-8 x^{3}+16 \ln \left(x \right)$&$25$\\ default&$-8 x^{3}+16 \ln \left(x \right)-2 x^{3} \ln \left(\frac{3 x^{2} {\mathrm e}^{-x^{3}}}{4}\right)+4 \ln \left(x \right) \ln \left(\frac{3 x^{2} {\mathrm e}^{-x^{3}}}{4}\right)-x^{6}+4 x^{3} \ln \left(x \right)-4 \ln \left(x \right)^{2}$&$62$\\ risch&$16 \ln \left(x \right)+4 \ln \left(x \right)^{2}-x^{6}-8 x^{3}-8 \ln \left(2\right) \ln \left(x \right)-2 x^{3} \ln \left(3\right)+4 \ln \left(3\right) \ln \left(x \right)+4 x^{3} \ln \left(2\right)+i \pi  \,x^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \,x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \,x^{3} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x^{3}}\right)^{2}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x^{3}}\right)^{3}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+4 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\left(2 x^{3}-4 \ln \left(x \right)\right) \ln \left({\mathrm e}^{x^{3}}\right)-i \pi  \,x^{3} \mathrm{csgn}\left(i {\mathrm e}^{-x^{3}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x^{3}}\right)^{2}+i \pi  \,x^{3} \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x^{3}}\right)^{3}+i \pi  \,x^{3} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{3}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x^{3}}\right)+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x^{3}}\right)^{2}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{3}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x^{3}}\right)-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \,x^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{3}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x^{3}}\right)^{2}$&$413$\\ \hline \end{longtable}"," ",0,"ln(3/4*x^2/exp(x^3))^2-8*x^3+16*ln(x)","A"
813,1,32,27,0.065000," ","int(((-2*x*exp(1)-2*x)*ln(x)+(-2*x-1)*exp(1)+4*x^2-2*x-1)*ln(ln(2))^2*exp(((x*exp(1)+x)*ln(x)-x^2)/(1+exp(1)))^2*exp(x*ln(ln(2))^2*exp(((x*exp(1)+x)*ln(x)-x^2)/(1+exp(1)))^2)/(1+exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x \ln \left(\ln \left(2\right)\right)^{2} {\mathrm e}^{\frac{2 x \left({\mathrm e} \ln \left(x \right)+\ln \left(x \right)-x \right)}{1+{\mathrm e}}}}$&$32$\\ \hline \end{longtable}"," ",0,"-exp(x*ln(ln(2))^2*exp(2*x*(exp(1)*ln(x)+ln(x)-x)/(1+exp(1))))","A"
814,1,45,22,0.057000," ","int(((-4*x^3+28*x^2-160*x+336)*ln(x-3)-3*x^5+21*x^4-28*x^3-116*x^2+368*x-192)/(4*x^3-28*x^2+64*x-48),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{28 \ln \left(x -3\right)+6 x^{2}+\frac{x^{3}}{2}-\frac{x^{4}}{4}-\ln \left(x -3\right) x^{2}}{x -2}+2 \ln \left(x -3\right)$&$45$\\ risch&$-\frac{\left(x^{2}-2 x -24\right) \ln \left(x -3\right)}{x -2}-\frac{x^{4}-2 x^{3}-24 x^{2}+48 x -96}{4 \left(x -2\right)}$&$46$\\ derivativedivides&$-\left(x -3\right) \ln \left(x -3\right)-\frac{3 x}{4}+\frac{9}{4}-\frac{24 \ln \left(x -3\right) \left(x -3\right)}{x -2}-\frac{\left(x -3\right)^{3}}{4}-\frac{9 \left(x -3\right)^{2}}{4}+21 \ln \left(x -3\right)+\frac{24}{x -2}$&$56$\\ default&$-\left(x -3\right) \ln \left(x -3\right)-\frac{3 x}{4}+\frac{9}{4}-\frac{24 \ln \left(x -3\right) \left(x -3\right)}{x -2}-\frac{\left(x -3\right)^{3}}{4}-\frac{9 \left(x -3\right)^{2}}{4}+21 \ln \left(x -3\right)+\frac{24}{x -2}$&$56$\\ \hline \end{longtable}"," ",0,"(28*ln(x-3)+6*x^2+1/2*x^3-1/4*x^4-ln(x-3)*x^2)/(x-2)+2*ln(x-3)","A"
815,1,29,26,0.072000," ","int(1/3*(-9*x^2*exp(3*x-15)+(exp(1)+x^2)*exp((-exp(1)+x^2+x)/x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{3 x -15}+\frac{{\mathrm e}^{-\frac{-x^{2}+{\mathrm e}-x}{x}}}{3}$&$29$\\ norman&$\frac{\frac{x \,{\mathrm e}^{\frac{-{\mathrm e}+x^{2}+x}{x}}}{3}-x \,{\mathrm e}^{3 x -15}}{x}$&$32$\\ \hline \end{longtable}"," ",0,"-exp(3*x-15)+1/3*exp(-(-x^2+exp(1)-x)/x)","A"
816,1,37,25,0.221000," ","int((-32*x^2+320*x-780)*ln((256*x^2-2560*x+6400)/(4800*x^4-46800*x^3+114075*x^2)/exp(3))/(8*x^3-79*x^2+195*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{\left(256 x^{2}-2560 x +6400\right) {\mathrm e}^{-3}}{4800 x^{4}-46800 x^{3}+114075 x^{2}}\right)^{2}$&$37$\\ risch&$-4 \ln \left(x \right) \ln \left(\frac{\left(x^{2}-10 x +25\right) {\mathrm e}^{-3}}{x^{2} \left(64 x^{2}-624 x +1521\right)}\right)+8 \ln \left(-\frac{8 x}{39}+1\right) \ln \left(\frac{8 x}{39}\right)-8 \ln \left(-\frac{8 x}{39}+1\right) \ln \left(x \right)-8 \ln \left(1-\frac{x}{5}\right) \ln \left(\frac{x}{5}\right)+8 \ln \left(1-\frac{x}{5}\right) \ln \left(x \right)-4 \ln \left(x \right)^{2}-4 \ln \left(8 x -39\right) \ln \left(\frac{\left(x^{2}-10 x +25\right) {\mathrm e}^{-3}}{x^{2} \left(64 x^{2}-624 x +1521\right)}\right)-4 \ln \left(8 x -39\right)^{2}-8 \ln \left(8 x -39\right) \ln \left(\frac{8 x}{39}\right)+4 \ln \left(x -5\right) \ln \left(\frac{\left(x^{2}-10 x +25\right) {\mathrm e}^{-3}}{x^{2} \left(64 x^{2}-624 x +1521\right)}\right)+8 \ln \left(x -5\right) \ln \left(\frac{x}{5}\right)-4 \ln \left(x -5\right)^{2}+8 \ln \left(x -5\right) \ln \left(8 x -39\right)-32 \ln \left(2\right) \ln \left(8 x -39\right)+32 \ln \left(2\right) \ln \left(x -5\right)-32 \ln \left(2\right) \ln \left(x \right)+4 \ln \left(75\right) \ln \left(8 x -39\right)-4 \ln \left(75\right) \ln \left(x -5\right)+4 \ln \left(75\right) \ln \left(x \right)$&$251$\\ default&$-4 \ln \left(75\right) \ln \left(x -5\right)+4 \ln \left(75\right) \ln \left(x \right)+4 \ln \left(75\right) \ln \left(8 x -39\right)+12 \ln \left(x \right)+12 \ln \left(8 x -39\right)-12 \ln \left(x -5\right)+32 \ln \left(2\right) \ln \left(x -5\right)-32 \ln \left(2\right) \ln \left(x \right)-32 \ln \left(2\right) \ln \left(8 x -39\right)-4 \ln \left(x \right) \ln \left(\frac{x^{2}-10 x +25}{x^{2} \left(64 x^{2}-624 x +1521\right)}\right)-4 \ln \left(x \right)^{2}-8 \left(\ln \left(x \right)-\ln \left(\frac{8 x}{39}\right)\right) \ln \left(-\frac{8 x}{39}+1\right)+8 \left(\ln \left(x \right)-\ln \left(\frac{x}{5}\right)\right) \ln \left(1-\frac{x}{5}\right)-4 \ln \left(8 x -39\right) \ln \left(\frac{x^{2}-10 x +25}{x^{2} \left(64 x^{2}-624 x +1521\right)}\right)-4 \ln \left(8 x -39\right)^{2}-8 \ln \left(8 x -39\right) \ln \left(\frac{8 x}{39}\right)+4 \ln \left(x -5\right) \ln \left(\frac{x^{2}-10 x +25}{x^{2} \left(64 x^{2}-624 x +1521\right)}\right)+8 \ln \left(x -5\right) \ln \left(\frac{x}{5}\right)-4 \ln \left(x -5\right)^{2}+8 \ln \left(x -5\right) \ln \left(8 x -39\right)$&$253$\\ \hline \end{longtable}"," ",0,"ln((256*x^2-2560*x+6400)/(4800*x^4-46800*x^3+114075*x^2)/exp(3))^2","A"
817,1,15,16,14.428000," ","int((25*exp(3)-200*x-300)/(x^2*exp(3)^2+(-8*x^3-24*x^2)*exp(3)+16*x^4+96*x^3+144*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{25}{x \left(-12+{\mathrm e}^{3}-4 x \right)}$&$15$\\ norman&$-\frac{25}{x \left(-12+{\mathrm e}^{3}-4 x \right)}$&$15$\\ risch&$-\frac{25}{x \left(-12+{\mathrm e}^{3}-4 x \right)}$&$15$\\ \hline \end{longtable}"," ",0,"-25/x/(-12+exp(3)-4*x)","A"
818,1,17,24,0.017000," ","int(1/2*(4*x-10)*exp(x^2-5*x)+3/2*x^2+2*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+x +\frac{x^{3}}{2}+{\mathrm e}^{\left(x -5\right) x}$&$17$\\ default&$x^{2}+x +\frac{x^{3}}{2}+{\mathrm e}^{x^{2}-5 x}$&$19$\\ norman&$x^{2}+x +\frac{x^{3}}{2}+{\mathrm e}^{x^{2}-5 x}$&$19$\\ \hline \end{longtable}"," ",0,"x^2+x+1/2*x^3+exp((x-5)*x)","A"
819,1,1247,25,0.319000," ","int(((3*x*exp(x)^3+6*exp(x)^2*x^3+(3*x^5-10*x)*exp(x))*ln(-3*x*exp(x)^2-6*exp(x)*x^3-3*x^5+10*x)^2+((12*x+6)*exp(x)^3+(12*x^3+36*x^2)*exp(x)^2+(30*x^4-20)*exp(x))*ln(-3*x*exp(x)^2-6*exp(x)*x^3-3*x^5+10*x)-3*x*exp(x)^2-6*exp(x)*x^3-3*x^5+10*x)/(3*x*exp(x)^2+6*exp(x)*x^3+3*x^5-10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{x} \ln \left(x \right)^{2}-\frac{\pi^{2} \mathrm{csgn}\left(i \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right) \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{5} {\mathrm e}^{x}}{2}-\pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{2} {\mathrm e}^{x}-\pi^{2} \mathrm{csgn}\left(i \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right) \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{2} {\mathrm e}^{x}-\frac{\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{4} {\mathrm e}^{x}}{4}-\frac{\pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{5} {\mathrm e}^{x}}{2}-\frac{\pi^{2} \mathrm{csgn}\left(i \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{2} \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{4} {\mathrm e}^{x}}{4}+\pi^{2} \mathrm{csgn}\left(i \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right) \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{4} {\mathrm e}^{x}+\pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{4} {\mathrm e}^{x}+2 i \pi  \,{\mathrm e}^{x} \ln \left(x \right)-\pi^{2} {\mathrm e}^{x}+{\mathrm e}^{x} \ln \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)^{2}+\left(-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right) \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right) {\mathrm e}^{x}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{2} {\mathrm e}^{x}-2 i \pi  \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{2} {\mathrm e}^{x}+i \pi  \,\mathrm{csgn}\left(i \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right) \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{2} {\mathrm e}^{x}+i \pi  \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{3} {\mathrm e}^{x}+2 i \pi  \,{\mathrm e}^{x}+2 \,{\mathrm e}^{x} \ln \left(x \right)\right) \ln \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)-2 i \pi  \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{2} {\mathrm e}^{x} \ln \left(x \right)-\frac{\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{2} \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{2} {\mathrm e}^{x}}{4}+\frac{\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right) \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{3} {\mathrm e}^{x}}{2}+\frac{\pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{2} \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{3} {\mathrm e}^{x}}{2}+\pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right) \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right) {\mathrm e}^{x}-\pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right) \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{3} {\mathrm e}^{x}+i \pi  \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{3} {\mathrm e}^{x} \ln \left(x \right)+i \pi  \,\mathrm{csgn}\left(i \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right) \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{2} {\mathrm e}^{x} \ln \left(x \right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{2} {\mathrm e}^{x} \ln \left(x \right)+2 \pi^{2} \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{2} {\mathrm e}^{x}-\frac{\pi^{2} \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{6} {\mathrm e}^{x}}{4}-\pi^{2} \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{3} {\mathrm e}^{x}-\pi^{2} \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{4} {\mathrm e}^{x}+\pi^{2} \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right)^{5} {\mathrm e}^{x}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right) \mathrm{csgn}\left(i x \left(x^{4}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-\frac{10}{3}\right)\right) {\mathrm e}^{x} \ln \left(x \right)$&$1247$\\ \hline \end{longtable}"," ",0,"-x+exp(x)*ln(x)^2-1/2*Pi^2*csgn(I*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^5*exp(x)-Pi^2*csgn(I*x)*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^2*exp(x)-Pi^2*csgn(I*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^2*exp(x)-1/4*Pi^2*csgn(I*x)^2*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^4*exp(x)-1/2*Pi^2*csgn(I*x)*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^5*exp(x)-1/4*Pi^2*csgn(I*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^2*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^4*exp(x)+Pi^2*csgn(I*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^4*exp(x)+Pi^2*csgn(I*x)*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^4*exp(x)+(-I*Pi*csgn(I*x)*csgn(I*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))*exp(x)+I*Pi*csgn(I*x)*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^2*exp(x)-2*I*Pi*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^2*exp(x)+I*Pi*csgn(I*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^2*exp(x)+I*Pi*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^3*exp(x)+2*I*Pi*exp(x)+2*exp(x)*ln(x))*ln(x^4+2*exp(x)*x^2+exp(2*x)-10/3)-Pi^2*exp(x)+exp(x)*ln(x^4+2*exp(x)*x^2+exp(2*x)-10/3)^2-2*I*Pi*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^2*exp(x)*ln(x)-1/4*Pi^2*csgn(I*x)^2*csgn(I*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^2*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^2*exp(x)+1/2*Pi^2*csgn(I*x)^2*csgn(I*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^3*exp(x)+1/2*Pi^2*csgn(I*x)*csgn(I*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^2*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^3*exp(x)+Pi^2*csgn(I*x)*csgn(I*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))*exp(x)-Pi^2*csgn(I*x)*csgn(I*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^3*exp(x)+2*Pi^2*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^2*exp(x)-1/4*Pi^2*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^6*exp(x)-Pi^2*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^3*exp(x)-I*Pi*csgn(I*x)*csgn(I*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))*exp(x)*ln(x)+I*Pi*csgn(I*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^2*exp(x)*ln(x)+I*Pi*csgn(I*x)*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^2*exp(x)*ln(x)-Pi^2*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^4*exp(x)+Pi^2*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^5*exp(x)+I*Pi*csgn(I*x*(x^4+2*exp(x)*x^2+exp(2*x)-10/3))^3*exp(x)*ln(x)+2*I*Pi*exp(x)*ln(x)","C"
820,1,21,21,0.038000," ","int((((16*x-16)*ln(-4*x+4)-16*x^2-64*x+80)*ln(ln(-4*x+4)-x-5)+(-x^2+64*x-63)*ln(-4*x+4)+x^3-59*x^2-273*x+347)/(((16*x-16)*ln(-4*x+4)-16*x^2-64*x+80)*ln(ln(-4*x+4)-x-5)+(-x^2+65*x-64)*ln(-4*x+4)+x^3-60*x^2-261*x+320),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(\ln \left(\ln \left(-4 x +4\right)-x -5\right)-\frac{x}{16}+4\right)$&$21$\\ \hline \end{longtable}"," ",0,"x+ln(ln(ln(-4*x+4)-x-5)-1/16*x+4)","A"
821,1,58,34,0.181000," ","int(((40*ln(2)+80)*ln(x)^2+(2*(-10*x+96)*ln(2)+5*x^2-40*x+384)*ln(x)+2*(-15*x+96)*ln(2)+5*x^2-44*x+384)/((16*ln(2)^2+2*(-8*x+32)*ln(2)+4*x^2-32*x+64)*ln(5)*ln(x)^2+(64*ln(2)^2+2*(-32*x+128)*ln(2)+16*x^2-128*x+256)*ln(5)*ln(x)+(64*ln(2)^2+2*(-32*x+128)*ln(2)+16*x^2-128*x+256)*ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{4 x}{\ln \left(5\right)}+\frac{10 \left(\ln \left(2\right)+2\right) \ln \left(x \right)}{\ln \left(5\right)}-\frac{5 x^{2}}{4 \ln \left(5\right)}+\frac{20 \ln \left(2\right)+40}{\ln \left(5\right)}}{\left(\ln \left(x \right)+2\right) \left(4+2 \ln \left(2\right)-x \right)}$&$58$\\ risch&$\frac{10 \ln \left(2\right)}{\left(4+2 \ln \left(2\right)-x \right) \ln \left(5\right)}+\frac{20}{\left(4+2 \ln \left(2\right)-x \right) \ln \left(5\right)}-\frac{x \left(5 x -16\right)}{4 \ln \left(5\right) \left(4+2 \ln \left(2\right)-x \right) \left(\ln \left(x \right)+2\right)}$&$67$\\ \hline \end{longtable}"," ",0,"(4*x/ln(5)+10*(ln(2)+2)/ln(5)*ln(x)-5/4*x^2/ln(5)+20*(ln(2)+2)/ln(5))/(ln(x)+2)/(4+2*ln(2)-x)","A"
822,1,35,26,0.088000," ","int((x*exp(exp(x)^2+x^2)+(-2*x*exp(x)^2-2*x^2+1)*ln(4*x)+(-2*x*exp(5)-2*x^2)*exp(x)^2+(-2*x^2+1)*exp(5)-2*x^3+2*x+1)/exp(exp(x)^2+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{2}+\left(x \,{\mathrm e}^{5}+x^{2}+x \ln \left(4 x \right)\right) {\mathrm e}^{-{\mathrm e}^{2 x}-x^{2}}$&$35$\\ \hline \end{longtable}"," ",0,"1/2*x^2+(x*exp(5)+x^2+x*ln(4*x))*exp(-exp(2*x)-x^2)","A"
823,1,121,22,0.018000," ","int(1/25*((4*x^4-6*x^3+2*x^2)*exp(5/2)^4+(-40*x^5+64*x^4-24*x^3)*exp(5/2)^3+(144*x^6-240*x^5+96*x^4)*exp(5/2)^2+(-224*x^7+384*x^6-160*x^5)*exp(5/2)+128*x^8-224*x^7+96*x^6+1)*exp((x^4-2*x^3+x^2)*exp(5/2)^4+(-8*x^5+16*x^4-8*x^3)*exp(5/2)^3+(24*x^6-48*x^5+24*x^4)*exp(5/2)^2+(-32*x^7+64*x^6-32*x^5)*exp(5/2)+16*x^8-32*x^7+16*x^6),x)","\[\frac{x \,{\mathrm e}^{x^{4} {\mathrm e}^{10}-8 \,{\mathrm e}^{\frac{15}{2}} x^{5}+24 x^{6} {\mathrm e}^{5}-32 \,{\mathrm e}^{\frac{5}{2}} x^{7}+16 x^{8}-2 x^{3} {\mathrm e}^{10}+16 \,{\mathrm e}^{\frac{15}{2}} x^{4}-48 x^{5} {\mathrm e}^{5}+64 \,{\mathrm e}^{\frac{5}{2}} x^{6}-32 x^{7}+x^{2} {\mathrm e}^{10}-8 \,{\mathrm e}^{\frac{15}{2}} x^{3}+24 x^{4} {\mathrm e}^{5}-32 \,{\mathrm e}^{\frac{5}{2}} x^{5}+16 x^{6}}}{25}\]"," ",0,"1/25*x*exp(exp(5/2)^4*x^4-8*exp(5/2)^3*x^5+24*exp(5/2)^2*x^6-32*exp(5/2)*x^7+16*x^8-2*exp(5/2)^4*x^3+16*exp(5/2)^3*x^4-48*exp(5/2)^2*x^5+64*exp(5/2)*x^6-32*x^7+exp(5/2)^4*x^2-8*exp(5/2)^3*x^3+24*exp(5/2)^2*x^4-32*exp(5/2)*x^5+16*x^6)","B"
824,1,9,11,0.016000," ","int(1/24*(5*x+40)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5 x}{24}+\frac{5 \ln \left(x \right)}{3}$&$9$\\ norman&$\frac{5 x}{24}+\frac{5 \ln \left(x \right)}{3}$&$9$\\ risch&$\frac{5 x}{24}+\frac{5 \ln \left(x \right)}{3}$&$9$\\ \hline \end{longtable}"," ",0,"5/24*x+5/3*ln(x)","A"
825,1,16,19,0.041000," ","int((-864*x^2-144*x-432)/(9*x*ln(x)^2+(18*x^3+6*x^2)*ln(x)+9*x^5+6*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{144}{3 x^{2}+3 \ln \left(x \right)+x}$&$16$\\ risch&$\frac{144}{3 x^{2}+3 \ln \left(x \right)+x}$&$16$\\ \hline \end{longtable}"," ",0,"144/(3*x^2+3*ln(x)+x)","A"
826,1,14,22,0.029000," ","int((-3*x-3)*exp(x+3/2)+6*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$3 x^{2}-3 \,{\mathrm e}^{x +\frac{3}{2}} x$&$14$\\ risch&$3 x^{2}-3 \,{\mathrm e}^{x +\frac{3}{2}} x$&$14$\\ default&$-3 \,{\mathrm e}^{x +\frac{3}{2}} \left(x +\frac{3}{2}\right)+\frac{9 \,{\mathrm e}^{x +\frac{3}{2}}}{2}+3 x^{2}$&$22$\\ derivativedivides&$-9 x -\frac{27}{2}-3 \,{\mathrm e}^{x +\frac{3}{2}} \left(x +\frac{3}{2}\right)+\frac{9 \,{\mathrm e}^{x +\frac{3}{2}}}{2}+3 \left(x +\frac{3}{2}\right)^{2}$&$28$\\ \hline \end{longtable}"," ",0,"3*x^2-3*exp(x+3/2)*x","A"
827,1,74,42,0.086000," ","int(1/32*(6250000*ln(x^2)^3+(-2500*x*exp(5)^2+1875000*exp(5))*ln(x^2)^2+(-500*x*exp(5)^3+(-10000*x+127500)*exp(5)^2)*ln(x^2)+(4*x^2-x)*exp(5)^4+(-1000*x+250)*exp(5)^3)/x/exp(5)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{16}-\frac{x}{32}+\frac{125 \ln \left(x \right) {\mathrm e}^{-5}}{16}+\frac{390625 \,{\mathrm e}^{-20} \ln \left(x^{2}\right)^{4}}{16}-\frac{625 \,{\mathrm e}^{-10} \ln \left(x^{2}\right)^{2} x}{8}+\frac{78125 \,{\mathrm e}^{-15} \ln \left(x^{2}\right)^{3}}{8}-\frac{125 \,{\mathrm e}^{-5} \ln \left(x^{2}\right) x}{8}-\frac{31875 \,{\mathrm e}^{-10} \ln \left(x \right)^{2}}{8}+\frac{31875 \,{\mathrm e}^{-10} \ln \left(x \right) \ln \left(x^{2}\right)}{8}$&$74$\\ norman&$\left(\frac{125 \,{\mathrm e}^{10} \ln \left(x^{2}\right)}{32}+\frac{78125 \ln \left(x^{2}\right)^{3}}{8}-\frac{x \,{\mathrm e}^{15}}{32}+\frac{x^{2} {\mathrm e}^{15}}{16}+\frac{390625 \,{\mathrm e}^{-5} \ln \left(x^{2}\right)^{4}}{16}+\frac{31875 \,{\mathrm e}^{5} \ln \left(x^{2}\right)^{2}}{32}-\frac{625 x \,{\mathrm e}^{5} \ln \left(x^{2}\right)^{2}}{8}-\frac{125 \,{\mathrm e}^{10} \ln \left(x^{2}\right) x}{8}\right) {\mathrm e}^{-15}$&$85$\\ default&$\frac{{\mathrm e}^{-20} \left(2 x^{2} {\mathrm e}^{20}-x \,{\mathrm e}^{20}+250 \,{\mathrm e}^{15} \ln \left(x \right)+781250 \ln \left(x^{2}\right)^{4}-2500 \,{\mathrm e}^{10} \ln \left(x^{2}\right)^{2} x +312500 \,{\mathrm e}^{5} \ln \left(x^{2}\right)^{3}-500 \,{\mathrm e}^{15} \ln \left(x^{2}\right) x -127500 \,{\mathrm e}^{10} \ln \left(x \right)^{2}+127500 \,{\mathrm e}^{10} \ln \left(x \right) \ln \left(x^{2}\right)\right)}{32}$&$96$\\ \hline \end{longtable}"," ",0,"1/16*x^2-1/32*x+125/16*ln(x)*exp(-5)+390625/16*exp(-20)*ln(x^2)^4-625/8*exp(-10)*ln(x^2)^2*x+78125/8*exp(-15)*ln(x^2)^3-125/8*exp(-5)*ln(x^2)*x-31875/8*exp(-10)*ln(x)^2+31875/8*exp(-10)*ln(x)*ln(x^2)","A"
828,1,310,27,0.170000," ","int(1/16*(16*x^5+5*x^4)*exp(2*x)^8+1/16*(-224*x^6-320*x^5-80*x^4)*exp(2*x)^7+1/16*(1344*x^7+3472*x^6+2688*x^5+560*x^4)*exp(2*x)^6+1/16*(-4480*x^8-17024*x^7-22848*x^6-12544*x^5-2240*x^4)*exp(2*x)^5+1/16*(8960*x^9+45920*x^8+89600*x^7+82880*x^6+35824*x^5+5638*x^4+24*x^3)*exp(2*x)^4+1/16*(-10752*x^10-71680*x^9-188160*x^8-250880*x^7-179104*x^6-64608*x^5-9408*x^4-192*x^3)*exp(2*x)^3+1/16*(7168*x^11+62720*x^10+215040*x^9+385280*x^8+394048*x^7+231024*x^6+72928*x^5+10736*x^4+576*x^3)*exp(2*x)^2+1/16*(-2048*x^12-26624*x^11-121856*x^10-286720*x^9-394112*x^8-329216*x^7-165632*x^6-48384*x^5-8064*x^4-768*x^3)*exp(2*x)+208*x^12+1536*x^11+4928*x^10+8960*x^9+10062*x^8+7152*x^7+3220*x^6+936*x^5+3045/16*x^4+45/2*x^3+27/16*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{16 x} x^{5}}{16}+\frac{\left(-16 x^{6}-16 x^{5}\right) {\mathrm e}^{14 x}}{16}+\frac{\left(112 x^{7}+224 x^{6}+112 x^{5}\right) {\mathrm e}^{12 x}}{16}+\frac{\left(-448 x^{8}-1344 x^{7}-1344 x^{6}-448 x^{5}\right) {\mathrm e}^{10 x}}{16}+\frac{\left(1120 x^{9}+4480 x^{8}+6720 x^{7}+4480 x^{6}+1118 x^{5}+6 x^{4}\right) {\mathrm e}^{8 x}}{16}+\frac{\left(-1792 x^{10}-8960 x^{9}-17920 x^{8}-17920 x^{7}-8944 x^{6}-1824 x^{5}-48 x^{4}\right) {\mathrm e}^{6 x}}{16}+\frac{\left(1792 x^{11}+10752 x^{10}+26880 x^{9}+35840 x^{8}+26832 x^{7}+10800 x^{6}+2032 x^{5}+144 x^{4}\right) {\mathrm e}^{4 x}}{16}+\frac{\left(-1024 x^{12}-7168 x^{11}-21504 x^{10}-35840 x^{9}-35776 x^{8}-21504 x^{7}-7552 x^{6}-1536 x^{5}-192 x^{4}\right) {\mathrm e}^{2 x}}{16}+16 x^{13}+128 x^{12}+448 x^{11}+896 x^{10}+1118 x^{9}+894 x^{8}+460 x^{7}+156 x^{6}+\frac{609 x^{5}}{16}+\frac{45 x^{4}}{8}+\frac{9 x^{3}}{16}$&$310$\\ derivativedivides&$448 x^{11}+128 x^{12}+16 x^{13}+460 x^{7}+894 x^{8}+896 x^{10}+1118 x^{9}+156 x^{6}+\frac{609 x^{5}}{16}+\frac{45 x^{4}}{8}+\frac{9 x^{3}}{16}-96 x^{5} {\mathrm e}^{2 x}+\frac{{\mathrm e}^{16 x} x^{5}}{16}-448 \,{\mathrm e}^{2 x} x^{11}-1344 \,{\mathrm e}^{2 x} x^{10}-2240 \,{\mathrm e}^{2 x} x^{9}-2236 \,{\mathrm e}^{2 x} x^{8}-1344 \,{\mathrm e}^{2 x} x^{7}-472 \,{\mathrm e}^{2 x} x^{6}-12 \,{\mathrm e}^{2 x} x^{4}+9 x^{4} {\mathrm e}^{4 x}+\frac{3 x^{4} {\mathrm e}^{8 x}}{8}-{\mathrm e}^{14 x} x^{5}+14 \,{\mathrm e}^{12 x} x^{6}-84 \,{\mathrm e}^{10 x} x^{7}+280 \,{\mathrm e}^{8 x} x^{8}-560 \,{\mathrm e}^{6 x} x^{9}+672 \,{\mathrm e}^{4 x} x^{10}+7 \,{\mathrm e}^{12 x} x^{5}-84 \,{\mathrm e}^{10 x} x^{6}+420 \,{\mathrm e}^{8 x} x^{7}-1120 \,{\mathrm e}^{6 x} x^{8}+1680 \,{\mathrm e}^{4 x} x^{9}-28 \,{\mathrm e}^{10 x} x^{5}+280 \,{\mathrm e}^{8 x} x^{6}-1120 \,{\mathrm e}^{6 x} x^{7}+2240 \,{\mathrm e}^{4 x} x^{8}+\frac{559 \,{\mathrm e}^{8 x} x^{5}}{8}-559 \,{\mathrm e}^{6 x} x^{6}+1677 \,{\mathrm e}^{4 x} x^{7}-114 \,{\mathrm e}^{6 x} x^{5}+675 \,{\mathrm e}^{4 x} x^{6}-3 \,{\mathrm e}^{6 x} x^{4}+127 \,{\mathrm e}^{4 x} x^{5}-112 \,{\mathrm e}^{6 x} x^{10}+70 \,{\mathrm e}^{8 x} x^{9}-{\mathrm e}^{14 x} x^{6}+7 \,{\mathrm e}^{12 x} x^{7}-28 \,{\mathrm e}^{10 x} x^{8}+112 \,{\mathrm e}^{4 x} x^{11}-64 \,{\mathrm e}^{2 x} x^{12}$&$479$\\ default&$448 x^{11}+128 x^{12}+16 x^{13}+460 x^{7}+894 x^{8}+896 x^{10}+1118 x^{9}+156 x^{6}+\frac{609 x^{5}}{16}+\frac{45 x^{4}}{8}+\frac{9 x^{3}}{16}-96 x^{5} {\mathrm e}^{2 x}+\frac{{\mathrm e}^{16 x} x^{5}}{16}-448 \,{\mathrm e}^{2 x} x^{11}-1344 \,{\mathrm e}^{2 x} x^{10}-2240 \,{\mathrm e}^{2 x} x^{9}-2236 \,{\mathrm e}^{2 x} x^{8}-1344 \,{\mathrm e}^{2 x} x^{7}-472 \,{\mathrm e}^{2 x} x^{6}-12 \,{\mathrm e}^{2 x} x^{4}+9 x^{4} {\mathrm e}^{4 x}+\frac{3 x^{4} {\mathrm e}^{8 x}}{8}-{\mathrm e}^{14 x} x^{5}+14 \,{\mathrm e}^{12 x} x^{6}-84 \,{\mathrm e}^{10 x} x^{7}+280 \,{\mathrm e}^{8 x} x^{8}-560 \,{\mathrm e}^{6 x} x^{9}+672 \,{\mathrm e}^{4 x} x^{10}+7 \,{\mathrm e}^{12 x} x^{5}-84 \,{\mathrm e}^{10 x} x^{6}+420 \,{\mathrm e}^{8 x} x^{7}-1120 \,{\mathrm e}^{6 x} x^{8}+1680 \,{\mathrm e}^{4 x} x^{9}-28 \,{\mathrm e}^{10 x} x^{5}+280 \,{\mathrm e}^{8 x} x^{6}-1120 \,{\mathrm e}^{6 x} x^{7}+2240 \,{\mathrm e}^{4 x} x^{8}+\frac{559 \,{\mathrm e}^{8 x} x^{5}}{8}-559 \,{\mathrm e}^{6 x} x^{6}+1677 \,{\mathrm e}^{4 x} x^{7}-114 \,{\mathrm e}^{6 x} x^{5}+675 \,{\mathrm e}^{4 x} x^{6}-3 \,{\mathrm e}^{6 x} x^{4}+127 \,{\mathrm e}^{4 x} x^{5}-112 \,{\mathrm e}^{6 x} x^{10}+70 \,{\mathrm e}^{8 x} x^{9}-{\mathrm e}^{14 x} x^{6}+7 \,{\mathrm e}^{12 x} x^{7}-28 \,{\mathrm e}^{10 x} x^{8}+112 \,{\mathrm e}^{4 x} x^{11}-64 \,{\mathrm e}^{2 x} x^{12}$&$479$\\ \hline \end{longtable}"," ",0,"1/16*exp(16*x)*x^5+1/16*(-16*x^6-16*x^5)*exp(14*x)+1/16*(112*x^7+224*x^6+112*x^5)*exp(12*x)+1/16*(-448*x^8-1344*x^7-1344*x^6-448*x^5)*exp(10*x)+1/16*(1120*x^9+4480*x^8+6720*x^7+4480*x^6+1118*x^5+6*x^4)*exp(8*x)+1/16*(-1792*x^10-8960*x^9-17920*x^8-17920*x^7-8944*x^6-1824*x^5-48*x^4)*exp(6*x)+1/16*(1792*x^11+10752*x^10+26880*x^9+35840*x^8+26832*x^7+10800*x^6+2032*x^5+144*x^4)*exp(4*x)+1/16*(-1024*x^12-7168*x^11-21504*x^10-35840*x^9-35776*x^8-21504*x^7-7552*x^6-1536*x^5-192*x^4)*exp(2*x)+16*x^13+128*x^12+448*x^11+896*x^10+1118*x^9+894*x^8+460*x^7+156*x^6+609/16*x^5+45/8*x^4+9/16*x^3","B"
829,1,49,19,0.054000," ","int((((-6*x+144)*ln(x-24)-16*x^2+422*x-906)*ln(3*ln(x-24)+8*x-11)+(6*x^2-150*x+144)*ln(x-24)+16*x^3-438*x^2+1328*x-906)/((3*x-72)*ln(x-24)+8*x^2-203*x+264),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(3 \ln \left(x -24\right)+8 x -11\right)^{2}-2 \ln \left(3 \ln \left(x -24\right)+8 x -11\right) x +x^{2}-2 x +2 \ln \left(\ln \left(x -24\right)+\frac{8 x}{3}-\frac{11}{3}\right)$&$49$\\ \hline \end{longtable}"," ",0,"ln(3*ln(x-24)+8*x-11)^2-2*ln(3*ln(x-24)+8*x-11)*x+x^2-2*x+2*ln(ln(x-24)+8/3*x-11/3)","B"
830,1,23,21,0.165000," ","int(((3*exp(9/4)+x^3)*exp(exp(9/4)/x^3)+2*x^3+6*x^2)/(x^4*exp(exp(9/4)/x^3)+2*x^4+3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(x \right)-\ln \left(3+2 x +{\mathrm e}^{\frac{{\mathrm e}^{\frac{9}{4}}}{x^{3}}} x \right)$&$23$\\ risch&$\ln \left(x \right)-\ln \left({\mathrm e}^{\frac{{\mathrm e}^{\frac{9}{4}}}{x^{3}}}+\frac{2 x +3}{x}\right)$&$24$\\ \hline \end{longtable}"," ",0,"2*ln(x)-ln(3+2*x+exp(exp(9/4)/x^3)*x)","A"
831,1,68,30,0.217000," ","int((-20*x^3*exp(exp(3))^3+(60*x^3-240*x^2)*exp(exp(3))^2+(4*(10*x^4+5*x^3)*ln(2)^2-60*x^3+480*x^2-960*x)*exp(exp(3))+4*(-10*x^4+75*x^3+60*x^2+10*x)*ln(2)^2+20*x^3-240*x^2+960*x-1280)/(4*x^3*exp(exp(3))^3+(-12*x^3+48*x^2)*exp(exp(3))^2+(12*x^3-96*x^2+192*x)*exp(exp(3))-4*x^3+48*x^2-192*x+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-80 x +\left(-5 \,{\mathrm e}^{2 \,{\mathrm e}^{3}}+5 \ln \left(2\right)^{2}+10 \,{\mathrm e}^{{\mathrm e}^{3}}-5\right) x^{3}+\left(\frac{5 \ln \left(2\right)^{2}}{4}-40 \,{\mathrm e}^{{\mathrm e}^{3}}+40\right) x^{2}+5 x^{4} \ln \left(2\right)^{2}}{\left(x \,{\mathrm e}^{{\mathrm e}^{3}}-x +4\right)^{2}}$&$68$\\ gosper&$-\frac{5 x \left(-4 x^{3} \ln \left(2\right)^{2}+4 \,{\mathrm e}^{2 \,{\mathrm e}^{3}} x^{2}-4 x^{2} \ln \left(2\right)^{2}-8 x^{2} {\mathrm e}^{{\mathrm e}^{3}}-x \ln \left(2\right)^{2}+32 x \,{\mathrm e}^{{\mathrm e}^{3}}+4 x^{2}-32 x +64\right)}{4 \left({\mathrm e}^{2 \,{\mathrm e}^{3}} x^{2}-2 x^{2} {\mathrm e}^{{\mathrm e}^{3}}+8 x \,{\mathrm e}^{{\mathrm e}^{3}}+x^{2}-8 x +16\right)}$&$96$\\ risch&$\frac{5 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(2\right)^{2} x^{2}}{\left({\mathrm e}^{2 \,{\mathrm e}^{3}}-2 \,{\mathrm e}^{{\mathrm e}^{3}}+1\right) \left({\mathrm e}^{{\mathrm e}^{3}}-1\right)}+\frac{5 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(2\right)^{2} x}{\left({\mathrm e}^{2 \,{\mathrm e}^{3}}-2 \,{\mathrm e}^{{\mathrm e}^{3}}+1\right) \left({\mathrm e}^{{\mathrm e}^{3}}-1\right)}-\frac{5 \ln \left(2\right)^{2} x^{2}}{\left({\mathrm e}^{2 \,{\mathrm e}^{3}}-2 \,{\mathrm e}^{{\mathrm e}^{3}}+1\right) \left({\mathrm e}^{{\mathrm e}^{3}}-1\right)}-\frac{45 \ln \left(2\right)^{2} x}{\left({\mathrm e}^{2 \,{\mathrm e}^{3}}-2 \,{\mathrm e}^{{\mathrm e}^{3}}+1\right) \left({\mathrm e}^{{\mathrm e}^{3}}-1\right)}-\frac{15 \,{\mathrm e}^{{\mathrm e}^{3}} x}{\left({\mathrm e}^{2 \,{\mathrm e}^{3}}-2 \,{\mathrm e}^{{\mathrm e}^{3}}+1\right) \left({\mathrm e}^{{\mathrm e}^{3}}-1\right)}-\frac{5 x \,{\mathrm e}^{3 \,{\mathrm e}^{3}}}{\left({\mathrm e}^{2 \,{\mathrm e}^{3}}-2 \,{\mathrm e}^{{\mathrm e}^{3}}+1\right) \left({\mathrm e}^{{\mathrm e}^{3}}-1\right)}+\frac{15 x \,{\mathrm e}^{2 \,{\mathrm e}^{3}}}{\left({\mathrm e}^{2 \,{\mathrm e}^{3}}-2 \,{\mathrm e}^{{\mathrm e}^{3}}+1\right) \left({\mathrm e}^{{\mathrm e}^{3}}-1\right)}+\frac{5 x}{\left({\mathrm e}^{2 \,{\mathrm e}^{3}}-2 \,{\mathrm e}^{{\mathrm e}^{3}}+1\right) \left({\mathrm e}^{{\mathrm e}^{3}}-1\right)}+\frac{\left(-10 \ln \left(2\right)^{2} {\mathrm e}^{2 \,{\mathrm e}^{3}}+260 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(2\right)^{2}-1530 \ln \left(2\right)^{2}\right) x -\frac{20 \ln \left(2\right)^{2} \left({\mathrm e}^{2 \,{\mathrm e}^{3}}-34 \,{\mathrm e}^{{\mathrm e}^{3}}+225\right)}{{\mathrm e}^{{\mathrm e}^{3}}-1}}{\left({\mathrm e}^{2 \,{\mathrm e}^{3}}-2 \,{\mathrm e}^{{\mathrm e}^{3}}+1\right) \left({\mathrm e}^{{\mathrm e}^{3}}-1\right) \left({\mathrm e}^{2 \,{\mathrm e}^{3}} x^{2}-2 x^{2} {\mathrm e}^{{\mathrm e}^{3}}+8 x \,{\mathrm e}^{{\mathrm e}^{3}}+x^{2}-8 x +16\right)}$&$343$\\ default&$\frac{30 \ln \left(2\right)^{2} {\mathrm e}^{2 \,{\mathrm e}^{3}} x^{2}+5 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(2\right)^{2} {\mathrm e}^{3 \,{\mathrm e}^{3}} x^{2}-15 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(2\right)^{2} {\mathrm e}^{2 \,{\mathrm e}^{3}} x^{2}+150 \ln \left(2\right)^{2} {\mathrm e}^{2 \,{\mathrm e}^{3}} x +5 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(2\right)^{2} {\mathrm e}^{3 \,{\mathrm e}^{3}} x -135 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(2\right)^{2} {\mathrm e}^{2 \,{\mathrm e}^{3}} x -20 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(2\right)^{2} x^{2}-5 \ln \left(2\right)^{2} {\mathrm e}^{3 \,{\mathrm e}^{3}} x^{2}-140 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(2\right)^{2} x +75 \ln \left(2\right)^{2} {\mathrm e}^{3 \,{\mathrm e}^{3}} x +5 x^{2} \ln \left(2\right)^{2}-75 x \,{\mathrm e}^{2 \,{\mathrm e}^{3}}-30 \,{\mathrm e}^{{\mathrm e}^{3}} {\mathrm e}^{3 \,{\mathrm e}^{3}} x +90 \,{\mathrm e}^{{\mathrm e}^{3}} {\mathrm e}^{2 \,{\mathrm e}^{3}} x +45 x \ln \left(2\right)^{2}-5 x \,{\mathrm e}^{6 \,{\mathrm e}^{3}}+30 \,{\mathrm e}^{2 \,{\mathrm e}^{3}} {\mathrm e}^{3 \,{\mathrm e}^{3}} x -45 x \,{\mathrm e}^{4 \,{\mathrm e}^{3}}+30 x \,{\mathrm e}^{{\mathrm e}^{3}}+10 x \,{\mathrm e}^{3 \,{\mathrm e}^{3}}-5 x}{\left(3 \,{\mathrm e}^{{\mathrm e}^{3}}+{\mathrm e}^{3 \,{\mathrm e}^{3}}-3 \,{\mathrm e}^{2 \,{\mathrm e}^{3}}-1\right)^{2}}-\frac{10 \left(\munderset{\textit{\_R} =\RootOf \left(-64-\left(3 \,{\mathrm e}^{{\mathrm e}^{3}}+{\mathrm e}^{3 \,{\mathrm e}^{3}}-3 \,{\mathrm e}^{2 \,{\mathrm e}^{3}}-1\right) \textit{\_Z}^{3}-\left(-24 \,{\mathrm e}^{{\mathrm e}^{3}}+12 \,{\mathrm e}^{2 \,{\mathrm e}^{3}}+12\right) \textit{\_Z}^{2}-\left(48 \,{\mathrm e}^{{\mathrm e}^{3}}-48\right) \textit{\_Z} \right)}{\sum}\frac{\left(638 \textit{\_R} \,{\mathrm e}^{{\mathrm e}^{3}}+30 \textit{\_R} \,{\mathrm e}^{5 \,{\mathrm e}^{3}}-263 \textit{\_R} \,{\mathrm e}^{4 \,{\mathrm e}^{3}}-\textit{\_R} \,{\mathrm e}^{6 \,{\mathrm e}^{3}}+772 \textit{\_R} \,{\mathrm e}^{3 \,{\mathrm e}^{3}}-1023 \textit{\_R} \,{\mathrm e}^{2 \,{\mathrm e}^{3}}-896 \,{\mathrm e}^{{\mathrm e}^{3}}+32 \,{\mathrm e}^{4 \,{\mathrm e}^{3}}-384 \,{\mathrm e}^{3 \,{\mathrm e}^{3}}+960 \,{\mathrm e}^{2 \,{\mathrm e}^{3}}-153 \textit{\_R} +288\right) \ln \left(x -\textit{\_R} \right)}{-16+\textit{\_R}^{2} {\mathrm e}^{3 \,{\mathrm e}^{3}}-3 \,{\mathrm e}^{2 \,{\mathrm e}^{3}} \textit{\_R}^{2}+8 \textit{\_R} \,{\mathrm e}^{2 \,{\mathrm e}^{3}}+3 \textit{\_R}^{2} {\mathrm e}^{{\mathrm e}^{3}}-16 \textit{\_R} \,{\mathrm e}^{{\mathrm e}^{3}}-\textit{\_R}^{2}+16 \,{\mathrm e}^{{\mathrm e}^{3}}+8 \textit{\_R}}\right) \ln \left(2\right)^{2}}{3 \left(3 \,{\mathrm e}^{{\mathrm e}^{3}}+{\mathrm e}^{3 \,{\mathrm e}^{3}}-3 \,{\mathrm e}^{2 \,{\mathrm e}^{3}}-1\right)^{2}}$&$519$\\ \hline \end{longtable}"," ",0,"(-80*x+(-5*exp(exp(3))^2+5*ln(2)^2+10*exp(exp(3))-5)*x^3+(5/4*ln(2)^2-40*exp(exp(3))+40)*x^2+5*x^4*ln(2)^2)/(x*exp(exp(3))-x+4)^2","B"
832,1,20,17,0.048000," ","int(((24*x^2+48*x)*exp(3)-3*x^2-18*x-27)/(x^6+6*x^5+9*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3+\left(-8 \,{\mathrm e}^{3}+1\right) x}{\left(3+x \right) x^{3}}$&$20$\\ risch&$\frac{3+\left(-8 \,{\mathrm e}^{3}+1\right) x}{\left(3+x \right) x^{3}}$&$20$\\ gosper&$-\frac{8 x \,{\mathrm e}^{3}-x -3}{x^{3} \left(3+x \right)}$&$21$\\ default&$\frac{1}{x^{3}}-\frac{8 \,{\mathrm e}^{3}}{3 x^{2}}+\frac{8 \,{\mathrm e}^{3}}{9 x}-\frac{8 \,{\mathrm e}^{3}}{9 \left(3+x \right)}$&$28$\\ \hline \end{longtable}"," ",0,"(3+(-8*exp(3)+1)*x)/(3+x)/x^3","A"
833,0,0,20,0.046000," ","int(((4*exp(x^2)-4*x)*ln(exp(x)*exp(x^2)-exp(x)*x)*ln(ln(exp(x)*exp(x^2)-exp(x)*x))+(8*x+4)*exp(x^2)-4*x-4)*(exp(x)*ln(ln(exp(x)*exp(x^2)-exp(x)*x)))^(2/9)/(9*exp(x^2)-9*x)/ln(exp(x)*exp(x^2)-exp(x)*x)/ln(ln(exp(x)*exp(x^2)-exp(x)*x)),x)","\[\int \frac{\left(\left(4 \,{\mathrm e}^{x^{2}}-4 x \right) \ln \left({\mathrm e}^{x} {\mathrm e}^{x^{2}}-{\mathrm e}^{x} x \right) \ln \left(\ln \left({\mathrm e}^{x} {\mathrm e}^{x^{2}}-{\mathrm e}^{x} x \right)\right)+\left(8 x +4\right) {\mathrm e}^{x^{2}}-4 x -4\right) \left({\mathrm e}^{x} \ln \left(\ln \left({\mathrm e}^{x} {\mathrm e}^{x^{2}}-{\mathrm e}^{x} x \right)\right)\right)^{\frac{2}{9}}}{\left(9 \,{\mathrm e}^{x^{2}}-9 x \right) \ln \left({\mathrm e}^{x} {\mathrm e}^{x^{2}}-{\mathrm e}^{x} x \right) \ln \left(\ln \left({\mathrm e}^{x} {\mathrm e}^{x^{2}}-{\mathrm e}^{x} x \right)\right)}\, dx\]"," ",0,"int(((4*exp(x^2)-4*x)*ln(exp(x)*exp(x^2)-exp(x)*x)*ln(ln(exp(x)*exp(x^2)-exp(x)*x))+(8*x+4)*exp(x^2)-4*x-4)*(exp(x)*ln(ln(exp(x)*exp(x^2)-exp(x)*x)))^(2/9)/(9*exp(x^2)-9*x)/ln(exp(x)*exp(x^2)-exp(x)*x)/ln(ln(exp(x)*exp(x^2)-exp(x)*x)),x)","F"
834,1,1024,34,6.824000," ","int(((-2*x^2+8*x)*ln(x-4)*ln(ln(x-4))*ln(4/x/ln(ln(x-4)))^2+((2*x^3+2*x^2-40*x)*ln(x-4)*ln(ln(x-4))-2*x^2)*ln(4/x/ln(ln(x-4)))+(-4*x^3+4*x^2+48*x)*ln(x-4)*ln(ln(x-4))+2*x^3+6*x^2)/((x-4)*ln(x-4)*ln(ln(x-4))*ln(4/x/ln(ln(x-4)))^4+(-4*x^2+4*x+48)*ln(x-4)*ln(ln(x-4))*ln(4/x/ln(ln(x-4)))^3+(8*x^3+4*x^2-90*x-216)*ln(x-4)*ln(ln(x-4))*ln(4/x/ln(ln(x-4)))^2+(-8*x^4-16*x^3+84*x^2+324*x+432)*ln(x-4)*ln(ln(x-4))*ln(4/x/ln(ln(x-4)))+(4*x^5+8*x^4-24*x^3-180*x^2-351*x-324)*ln(x-4)*ln(ln(x-4))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x^{2}}{36+24 x +16 \ln \left(2\right)^{2}-48 \ln \left(2\right)+24 \ln \left(x \right)+4 \ln \left(x \right)^{2}+8 x^{2}-4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{2}-4 i \ln \left(\ln \left(\ln \left(x -4\right)\right)\right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{2}-4 i \ln \left(\ln \left(\ln \left(x -4\right)\right)\right) \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{2}-4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{2}+12 i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)+8 i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{2}+8 i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{2}-4 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{2}-4 i \pi  x \,\mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{2}-16 \ln \left(2\right) \ln \left(x \right)-16 x \ln \left(2\right)+8 x \ln \left(x \right)-\pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{3}+2 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{4}+4 i \pi  x \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{3}+4 i \ln \left(\ln \left(\ln \left(x -4\right)\right)\right) \pi  \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{3}+4 i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{3}-8 i \ln \left(2\right) \pi  \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{3}-12 i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{2}-12 i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{2}+8 \ln \left(x \right) \ln \left(\ln \left(\ln \left(x -4\right)\right)\right)+8 x \ln \left(\ln \left(\ln \left(x -4\right)\right)\right)-8 i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)+4 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)+4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)+4 i \ln \left(\ln \left(\ln \left(x -4\right)\right)\right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)-16 \ln \left(2\right) \ln \left(\ln \left(\ln \left(x -4\right)\right)\right)+24 \ln \left(\ln \left(\ln \left(x -4\right)\right)\right)+4 \ln \left(\ln \left(\ln \left(x -4\right)\right)\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{5}+2 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{5}-\pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{4}+12 i \pi  \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{3}-\pi^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x -4\right)\right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{4}-\pi^{2} \mathrm{csgn}\left(\frac{i}{x \ln \left(\ln \left(x -4\right)\right)}\right)^{6}}$&$1024$\\ \hline \end{longtable}"," ",0,"-4*x^2/(36+24*x+16*ln(2)^2-48*ln(2)+24*ln(x)+4*ln(x)^2+8*x^2-16*ln(2)*ln(x)-16*x*ln(2)+8*x*ln(x)+2*Pi^2*csgn(I/ln(ln(x-4)))*csgn(I/x/ln(ln(x-4)))^5-Pi^2*csgn(I/x)^2*csgn(I/ln(ln(x-4)))^2*csgn(I/x/ln(ln(x-4)))^2+2*Pi^2*csgn(I/x)^2*csgn(I/ln(ln(x-4)))*csgn(I/x/ln(ln(x-4)))^3+2*Pi^2*csgn(I/x)*csgn(I/ln(ln(x-4)))^2*csgn(I/x/ln(ln(x-4)))^3-4*Pi^2*csgn(I/x)*csgn(I/ln(ln(x-4)))*csgn(I/x/ln(ln(x-4)))^4+2*Pi^2*csgn(I/x)*csgn(I/x/ln(ln(x-4)))^5+4*I*Pi*x*csgn(I/x/ln(ln(x-4)))^3+4*I*ln(ln(ln(x-4)))*Pi*csgn(I/x/ln(ln(x-4)))^3+4*I*ln(x)*Pi*csgn(I/x/ln(ln(x-4)))^3-8*I*ln(2)*Pi*csgn(I/x/ln(ln(x-4)))^3-12*I*Pi*csgn(I/x)*csgn(I/x/ln(ln(x-4)))^2-12*I*Pi*csgn(I/ln(ln(x-4)))*csgn(I/x/ln(ln(x-4)))^2+8*ln(x)*ln(ln(ln(x-4)))+8*x*ln(ln(ln(x-4)))-4*I*ln(x)*Pi*csgn(I/ln(ln(x-4)))*csgn(I/x/ln(ln(x-4)))^2-4*I*ln(ln(ln(x-4)))*Pi*csgn(I/x)*csgn(I/x/ln(ln(x-4)))^2-4*I*ln(ln(ln(x-4)))*Pi*csgn(I/ln(ln(x-4)))*csgn(I/x/ln(ln(x-4)))^2-4*I*ln(x)*Pi*csgn(I/x)*csgn(I/x/ln(ln(x-4)))^2+12*I*Pi*csgn(I/x)*csgn(I/ln(ln(x-4)))*csgn(I/x/ln(ln(x-4)))+8*I*ln(2)*Pi*csgn(I/x)*csgn(I/x/ln(ln(x-4)))^2-Pi^2*csgn(I/x)^2*csgn(I/x/ln(ln(x-4)))^4+12*I*Pi*csgn(I/x/ln(ln(x-4)))^3-Pi^2*csgn(I/x/ln(ln(x-4)))^6+8*I*ln(2)*Pi*csgn(I/ln(ln(x-4)))*csgn(I/x/ln(ln(x-4)))^2-4*I*Pi*x*csgn(I/x)*csgn(I/x/ln(ln(x-4)))^2-4*I*Pi*x*csgn(I/ln(ln(x-4)))*csgn(I/x/ln(ln(x-4)))^2-16*ln(2)*ln(ln(ln(x-4)))+24*ln(ln(ln(x-4)))+4*ln(ln(ln(x-4)))^2-8*I*ln(2)*Pi*csgn(I/x)*csgn(I/ln(ln(x-4)))*csgn(I/x/ln(ln(x-4)))+4*I*Pi*x*csgn(I/x)*csgn(I/ln(ln(x-4)))*csgn(I/x/ln(ln(x-4)))-Pi^2*csgn(I/ln(ln(x-4)))^2*csgn(I/x/ln(ln(x-4)))^4+4*I*ln(x)*Pi*csgn(I/x)*csgn(I/ln(ln(x-4)))*csgn(I/x/ln(ln(x-4)))+4*I*ln(ln(ln(x-4)))*Pi*csgn(I/x)*csgn(I/ln(ln(x-4)))*csgn(I/x/ln(ln(x-4))))","C"
835,0,0,27,0.124000," ","int(((4*x+2)*ln(x^2)*ln(ln(x^2))^2+(2*(-2*x^3-10*x^2-8*x)*ln(2)-8*x^2-12*x-4)*ln(x^2)*ln(ln(x^2))+(2*(x^4+3*x^3-6*x^2-8*x)*ln(2)+4*x^3+10*x^2+8*x+2)*ln(x^2)+2*(2*x^3+18*x^2+48*x+32)*ln(2))*exp(2*(-x^2-8*x-16)*ln(2)/(2*ln(ln(x^2))-2*x-2))/(2*ln(x^2)*ln(ln(x^2))^2+(-4*x-4)*ln(x^2)*ln(ln(x^2))+(2*x^2+4*x+2)*ln(x^2)),x)","\[\int \frac{\left(\left(4 x +2\right) \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)^{2}+\left(2 \left(-2 x^{3}-10 x^{2}-8 x \right) \ln \left(2\right)-8 x^{2}-12 x -4\right) \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)+\left(2 \left(x^{4}+3 x^{3}-6 x^{2}-8 x \right) \ln \left(2\right)+4 x^{3}+10 x^{2}+8 x +2\right) \ln \left(x^{2}\right)+2 \left(2 x^{3}+18 x^{2}+48 x +32\right) \ln \left(2\right)\right) {\mathrm e}^{\frac{2 \left(-x^{2}-8 x -16\right) \ln \left(2\right)}{2 \ln \left(\ln \left(x^{2}\right)\right)-2 x -2}}}{2 \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)^{2}+\left(-4 x -4\right) \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)+\left(2 x^{2}+4 x +2\right) \ln \left(x^{2}\right)}\, dx\]"," ",0,"int(((4*x+2)*ln(x^2)*ln(ln(x^2))^2+(2*(-2*x^3-10*x^2-8*x)*ln(2)-8*x^2-12*x-4)*ln(x^2)*ln(ln(x^2))+(2*(x^4+3*x^3-6*x^2-8*x)*ln(2)+4*x^3+10*x^2+8*x+2)*ln(x^2)+2*(2*x^3+18*x^2+48*x+32)*ln(2))*exp(2*(-x^2-8*x-16)*ln(2)/(2*ln(ln(x^2))-2*x-2))/(2*ln(x^2)*ln(ln(x^2))^2+(-4*x-4)*ln(x^2)*ln(ln(x^2))+(2*x^2+4*x+2)*ln(x^2)),x)","F"
836,1,13,18,0.041000," ","int((-3*exp(x)*exp(3*exp(x))-25)/(exp(3*exp(x))+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left({\mathrm e}^{3 \,{\mathrm e}^{x}}+25 x \right)$&$13$\\ risch&$-\ln \left({\mathrm e}^{3 \,{\mathrm e}^{x}}+25 x \right)$&$13$\\ \hline \end{longtable}"," ",0,"-ln(exp(3*exp(x))+25*x)","A"
837,1,38,33,0.110000," ","int(((4*x^4+32*x^3+96*x^2+132*x+72)*ln((4*x^2+12*x+12)/(x^3+7*x^2+16*x+12))+10*x^4+60*x^3+152*x^2+198*x+84)/(x^6+6*x^5+9*x^4-7*x^3-24*x^2-3*x+18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-4 \ln \left(\frac{4 x^{2}+12 x +12}{x^{3}+7 x^{2}+16 x +12}\right)-6}{x -1}$&$38$\\ risch&$-\frac{4 \ln \left(\frac{4 x^{2}+12 x +12}{x^{3}+7 x^{2}+16 x +12}\right)}{x -1}-\frac{6}{x -1}$&$43$\\ \hline \end{longtable}"," ",0,"(-4*ln((4*x^2+12*x+12)/(x^3+7*x^2+16*x+12))-6)/(x-1)","A"
838,1,86,17,0.799000," ","int((ln(x^2)^5-10*ln(x^2)^4+40*ln(x^2)^3-80*ln(x^2)^2+(-4*x^3+80)*ln(x^2)+16*x^3-32)*exp(((2*x-1)*ln(x^2)^4+(-16*x+8)*ln(x^2)^3+(48*x-24)*ln(x^2)^2+(-64*x+32)*ln(x^2)-2*x^4+32*x-16)/(2*ln(x^2)^4-16*ln(x^2)^3+48*ln(x^2)^2-64*ln(x^2)+32))/(ln(x^2)^5-10*ln(x^2)^4+40*ln(x^2)^3-80*ln(x^2)^2+80*ln(x^2)-32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 x \ln \left(x^{2}\right)^{4}-\ln \left(x^{2}\right)^{4}-16 x \ln \left(x^{2}\right)^{3}-2 x^{4}+8 \ln \left(x^{2}\right)^{3}+48 x \ln \left(x^{2}\right)^{2}-24 \ln \left(x^{2}\right)^{2}-64 x \ln \left(x^{2}\right)+32 \ln \left(x^{2}\right)+32 x -16}{2 \left(-2+\ln \left(x^{2}\right)\right)^{4}}}$&$86$\\ \hline \end{longtable}"," ",0,"exp(1/2*(2*x*ln(x^2)^4-ln(x^2)^4-16*x*ln(x^2)^3-2*x^4+8*ln(x^2)^3+48*x*ln(x^2)^2-24*ln(x^2)^2-64*x*ln(x^2)+32*ln(x^2)+32*x-16)/(-2+ln(x^2))^4)","B"
839,1,38,23,0.057000," ","int(((((58*x*ln(5)-58*x^2-290*x)*exp(x)-58*ln(5)+116*x+290)*ln(x)-58*ln(5)+58*x+290)*exp(exp(x))+58*x^2*ln(x)-58*x*ln(5)+58*x^2+290*x)/(x^2*ln(5)^2+(-2*x^3-10*x^2)*ln(5)+x^4+10*x^3+25*x^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{58}{\left(\ln \left(5\right)-x -5\right) \ln \left(x \right)}+\frac{58 \,{\mathrm e}^{{\mathrm e}^{x}}}{x \left(\ln \left(5\right)-x -5\right) \ln \left(x \right)}$&$38$\\ \hline \end{longtable}"," ",0,"58/(ln(5)-x-5)/ln(x)+58/x/(ln(5)-x-5)/ln(x)*exp(exp(x))","A"
840,1,195,35,0.388000," ","int((((x^4+8*x^3+21*x^2+2*x-32)*ln(x^2/(x^4+14*x^3+81*x^2+224*x+256))*ln(2+x)+(-x^5-7*x^4-13*x^3+21*x^2+48*x)*ln(x^2/(x^4+14*x^3+81*x^2+224*x+256)))*ln(ln(x^2/(x^4+14*x^3+81*x^2+224*x+256)))+(-2*x^3-4*x^2+32*x+64)*ln(2+x)+2*x^4+4*x^3-32*x^2-64*x)/(x^3+9*x^2+30*x+32)/exp(x-1)/ln(x^2/(x^4+14*x^3+81*x^2+224*x+256))/ln(ln(x^2/(x^4+14*x^3+81*x^2+224*x+256)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(x -\ln \left(2+x \right)\right) {\mathrm e}^{1-x}}{\ln \left(2 \ln \left(x \right)-2 \ln \left(x^{2}+7 x +16\right)+\frac{i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+7 x +16\right)^{2}\right) \left(-\mathrm{csgn}\left(i \left(x^{2}+7 x +16\right)^{2}\right)+\mathrm{csgn}\left(i \left(x^{2}+7 x +16\right)\right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x^{2}}{\left(x^{2}+7 x +16\right)^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i x^{2}}{\left(x^{2}+7 x +16\right)^{2}}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(\frac{i x^{2}}{\left(x^{2}+7 x +16\right)^{2}}\right)+\mathrm{csgn}\left(\frac{i}{\left(x^{2}+7 x +16\right)^{2}}\right)\right)}{2}\right)}$&$195$\\ \hline \end{longtable}"," ",0,"x*(x-ln(2+x))*exp(1-x)/ln(2*ln(x)-2*ln(x^2+7*x+16)+1/2*I*Pi*csgn(I*(x^2+7*x+16)^2)*(-csgn(I*(x^2+7*x+16)^2)+csgn(I*(x^2+7*x+16)))^2-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^2/(x^2+7*x+16)^2)*(-csgn(I*x^2/(x^2+7*x+16)^2)+csgn(I*x^2))*(-csgn(I*x^2/(x^2+7*x+16)^2)+csgn(I/(x^2+7*x+16)^2)))","C"
841,1,21,20,0.063000," ","int(((-x*ln(x)-3*x)*ln(3+ln(x))+((-x^2-3*x)*exp(x)+x*exp(1)-6*x)*ln(x)+(-3*x^2-9*x)*exp(x)+3*x*exp(1)-17*x+4)/((x*ln(x)+3*x)*ln(3+ln(x))^2+((-2*exp(x)*x-2*x*exp(1)-2*x^2+4*x)*ln(x)-6*exp(x)*x-6*x*exp(1)-6*x^2+12*x)*ln(3+ln(x))+(x*exp(x)^2+(2*x*exp(1)+2*x^2-4*x)*exp(x)+x*exp(1)^2+(2*x^2-4*x)*exp(1)+x^3-4*x^2+4*x)*ln(x)+3*x*exp(x)^2+(6*x*exp(1)+6*x^2-12*x)*exp(x)+3*x*exp(1)^2+(6*x^2-12*x)*exp(1)+3*x^3-12*x^2+12*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4+x}{x -2+{\mathrm e}^{x}+{\mathrm e}-\ln \left(3+\ln \left(x \right)\right)}$&$21$\\ \hline \end{longtable}"," ",0,"(4+x)/(x-2+exp(x)+exp(1)-ln(3+ln(x)))","A"
842,1,39,28,0.038000," ","int((-2*x^3*ln(x)^4+(-16*x^4-40*x^3)*ln(x)^3+(-36*x^5-200*x^4-300*x^3+x^2-5)*ln(x)^2+(-16*x^6-200*x^5-800*x^4-1000*x^3+8*x^2-40*x-60)*ln(x)-2*x^7-40*x^6-300*x^5-1001*x^4-1254*x^3-120*x-175)/(x^2*ln(x)^4+(8*x^3+20*x^2)*ln(x)^3+(18*x^4+100*x^3+150*x^2)*ln(x)^2+(8*x^5+100*x^4+400*x^3+500*x^2)*ln(x)+x^6+20*x^5+150*x^4+500*x^3+625*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+\frac{x^{2}+5}{x \left(\ln \left(x \right)^{2}+4 x \ln \left(x \right)+x^{2}+10 \ln \left(x \right)+10 x +25\right)}$&$39$\\ \hline \end{longtable}"," ",0,"-x^2+(x^2+5)/x/(ln(x)^2+4*x*ln(x)+x^2+10*ln(x)+10*x+25)","A"
843,1,24,23,0.239000," ","int(((exp(x)*x-1)*ln(x^2)-4*x*ln(2)*exp(x)+4*ln(2)-2)/ln(2)/exp(3+exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(4 x -\frac{x \ln \left(x^{2}\right)}{\ln \left(2\right)}\right) {\mathrm e}^{-{\mathrm e}^{x}-3}$&$24$\\ default&$\frac{\left(\left(4 \ln \left(2\right)-\ln \left(x^{2}\right)+2 \ln \left(x \right)\right) x -2 x \ln \left(x \right)\right) {\mathrm e}^{-{\mathrm e}^{x}-3}}{\ln \left(2\right)}$&$36$\\ risch&$\frac{\left(\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}-i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+4 x \ln \left(2\right)-2 x \ln \left(x \right)\right) {\mathrm e}^{-{\mathrm e}^{x}-3}}{\ln \left(2\right)}$&$76$\\ \hline \end{longtable}"," ",0,"(4*x-x/ln(2)*ln(x^2))/exp(3+exp(x))","A"
844,1,26,20,0.080000," ","int(1/6*(-6*exp(5)*ln(x)+(x^3-x^2)*exp(x)+6*exp(5)+400*x^2)/x^2/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{x -5}}{6}-\frac{{\mathrm e}^{x -5}}{3}+\frac{200 x \,{\mathrm e}^{-5}}{3}+\frac{\ln \left(x \right)}{x}$&$26$\\ default&$\frac{{\mathrm e}^{-5} \left({\mathrm e}^{x} x -2 \,{\mathrm e}^{x}+400 x +\frac{6 \,{\mathrm e}^{5} \ln \left(x \right)}{x}\right)}{6}$&$28$\\ norman&$\frac{\frac{200 \,{\mathrm e}^{-5} x^{2}}{3}-\frac{x \,{\mathrm e}^{-5} {\mathrm e}^{x}}{3}+\frac{x^{2} {\mathrm e}^{-5} {\mathrm e}^{x}}{6}+\ln \left(x \right)}{x}$&$37$\\ \hline \end{longtable}"," ",0,"1/6*x*exp(x-5)-1/3*exp(x-5)+200/3*x*exp(-5)+ln(x)/x","A"
845,1,21,21,0.062000," ","int(1/3*((3*exp(x)*x+3*x+3)*exp(exp(1/3*x^2+5/3*x))+(-2*x^4-5*x^3)*exp(1/3*x^2+5/3*x)+6*x^2)/x/exp(exp(1/3*x^2+5/3*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x \right)+{\mathrm e}^{x}+x^{2} {\mathrm e}^{-{\mathrm e}^{\frac{\left(5+x \right) x}{3}}}$&$21$\\ \hline \end{longtable}"," ",0,"x+ln(x)+exp(x)+x^2*exp(-exp(1/3*(5+x)*x))","A"
846,1,68,25,0.314000," ","int((((375*x^3-4125*x^2+5625*x+10125)*exp(2)+375*x^4-4125*x^3+5625*x^2+10125*x)*ln((x^2+x)*exp(2)+x^3+x^2)^2+((-200*x^4+1650*x^3-7400*x^2+36000*x+20250)*exp(2)-200*x^5+1900*x^4-11650*x^3+51750*x^2+40500*x)*ln((x^2+x)*exp(2)+x^3+x^2)+(25*x^5-75*x^4+850*x^3+450*x^2)*exp(2)+25*x^6-125*x^5+1250*x^4+900*x^3)/((x+1)*exp(2)+x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(125 x^{3}-2250 x^{2}+10125 x \right) \ln \left(\left(x^{2}+x \right) {\mathrm e}^{2}+x^{3}+x^{2}\right)^{2}+\left(-50 x^{4}+450 x^{3}\right) \ln \left(\left(x^{2}+x \right) {\mathrm e}^{2}+x^{3}+x^{2}\right)+5 x^{5}$&$68$\\ norman&$5 x^{5}+10125 x \ln \left(\left(x^{2}+x \right) {\mathrm e}^{2}+x^{3}+x^{2}\right)^{2}-2250 x^{2} \ln \left(\left(x^{2}+x \right) {\mathrm e}^{2}+x^{3}+x^{2}\right)^{2}+450 x^{3} \ln \left(\left(x^{2}+x \right) {\mathrm e}^{2}+x^{3}+x^{2}\right)+125 x^{3} \ln \left(\left(x^{2}+x \right) {\mathrm e}^{2}+x^{3}+x^{2}\right)^{2}-50 x^{4} \ln \left(\left(x^{2}+x \right) {\mathrm e}^{2}+x^{3}+x^{2}\right)$&$116$\\ \hline \end{longtable}"," ",0,"(125*x^3-2250*x^2+10125*x)*ln((x^2+x)*exp(2)+x^3+x^2)^2+(-50*x^4+450*x^3)*ln((x^2+x)*exp(2)+x^3+x^2)+5*x^5","B"
847,1,28,25,0.223000," ","int(((-x^4+x^3+2*x^2-x+9)*exp(3+x)-3*x^4-4*x^3+10*x^2-8*x+45)/((x^4-3*x^3+x^2-3*x)*exp(3+x)+x^5+2*x^4-14*x^3+2*x^2-15*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-3 \ln \left(x \right)-\ln \left(x -3\right)-\ln \left({\mathrm e}^{3+x}+x +5\right)+\ln \left(x^{2}+1\right)$&$28$\\ risch&$-\ln \left(x -3\right)-3 \ln \left(x \right)+\ln \left(x^{2}+1\right)+3-\ln \left({\mathrm e}^{3+x}+x +5\right)$&$29$\\ \hline \end{longtable}"," ",0,"-3*ln(x)-ln(x-3)-ln(exp(3+x)+x+5)+ln(x^2+1)","A"
848,1,25,24,0.093000," ","int((((16*x^4-64*x^3+64*x^2)*exp(x^2-1)^4-2*x^2+8*x-8)*exp(exp(x^2-1)^4)+x^2*ln(3))/(2*x^4-8*x^3+8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(3\right)}{2 \left(x -2\right)}+\frac{{\mathrm e}^{{\mathrm e}^{4 \left(x -1\right) \left(x +1\right)}}}{x}$&$25$\\ \hline \end{longtable}"," ",0,"-1/2*ln(3)/(x-2)+exp(exp(4*(x-1)*(x+1)))/x","A"
849,1,26,23,0.524000," ","int((((x-1)*exp(2)+8*x^2-8*x-2)*exp(1/4*(x-5)*exp(2)+x^2-3)^2+2*x^2-4*x+2)/(2*x^2-4*x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2 x^{2}+\frac{{\mathrm e}^{2} x}{2}-\frac{5 \,{\mathrm e}^{2}}{2}-6}}{x -1}+x$&$26$\\ norman&$\frac{x^{2}+{\mathrm e}^{\frac{\left(x -5\right) {\mathrm e}^{2}}{2}+2 x^{2}-6}-1}{x -1}$&$27$\\ \hline \end{longtable}"," ",0,"exp(2*x^2+1/2*exp(2)*x-5/2*exp(2)-6)/(x-1)+x","A"
850,1,24,17,0.219000," ","int((2401*exp(2)^2*exp(4)-3)/(2401*exp(2)^4+4802*x*exp(2)^2+2401*x^2)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{-4} {\mathrm e}^{8}}{x +{\mathrm e}^{4}}+\frac{3 \,{\mathrm e}^{-4}}{2401 \left(x +{\mathrm e}^{4}\right)}$&$24$\\ gosper&$-\frac{\left(2401 \left({\mathrm e}^{4}\right)^{2}-3\right) {\mathrm e}^{-4}}{2401 \left(x +{\mathrm e}^{4}\right)}$&$25$\\ norman&$-\frac{\left(2401 \left({\mathrm e}^{4}\right)^{2}-3\right) {\mathrm e}^{-4}}{2401 \left(x +{\mathrm e}^{4}\right)}$&$25$\\ meijerg&$-\frac{3 \,{\mathrm e}^{-12} x}{2401 \left(1+x \,{\mathrm e}^{-4}\right)}+\frac{{\mathrm e}^{-4} x}{1+x \,{\mathrm e}^{-4}}$&$27$\\ \hline \end{longtable}"," ",0,"-exp(-4)/(x+exp(4))*exp(8)+3/2401*exp(-4)/(x+exp(4))","A"
851,1,25,24,0.116000," ","int((5*ln(x)*ln(3*ln(x))*ln(ln(3*ln(x)))+(-exp(3-x)*exp(x)+(-x^2+2*x)*exp(3-x))*ln(x)*ln(3*ln(x))+5)/ln(x)/ln(3*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{3-x} \left(x -{\mathrm e}^{x}\right) x +5 \ln \left(\ln \left(3 \ln \left(x \right)\right)\right) x$&$25$\\ \hline \end{longtable}"," ",0,"exp(3-x)*(x-exp(x))*x+5*ln(ln(3*ln(x)))*x","A"
852,1,28,20,0.119000," ","int(((-72*x+180)*ln(x)^5+(36*x-90)*exp(5/4)*ln(x)^4+(72*x-360)*exp(5/4)*ln(x)^3)/(32*ln(x)^5-80*exp(5/4)*ln(x)^4+80*exp(5/4)^2*ln(x)^3-40*exp(5/4)^3*ln(x)^2+10*exp(5/4)^4*ln(x)-exp(5/4)^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{90 x \ln \left(x \right)^{4}-18 x^{2} \ln \left(x \right)^{4}}{\left({\mathrm e}^{\frac{5}{4}}-2 \ln \left(x \right)\right)^{4}}$&$28$\\ risch&$-\frac{9 x^{2}}{8}+\frac{45 x}{8}+\frac{9 \,{\mathrm e}^{\frac{5}{4}} x \left(x \,{\mathrm e}^{\frac{15}{4}}-8 \ln \left(x \right) {\mathrm e}^{\frac{5}{2}} x +24 \,{\mathrm e}^{\frac{5}{4}} \ln \left(x \right)^{2} x -32 x \ln \left(x \right)^{3}-5 \,{\mathrm e}^{\frac{15}{4}}+40 \ln \left(x \right) {\mathrm e}^{\frac{5}{2}}-120 \ln \left(x \right)^{2} {\mathrm e}^{\frac{5}{4}}+160 \ln \left(x \right)^{3}\right)}{8 \left({\mathrm e}^{\frac{5}{4}}-2 \ln \left(x \right)\right)^{4}}$&$76$\\ \hline \end{longtable}"," ",0,"(90*x*ln(x)^4-18*x^2*ln(x)^4)/(exp(5/4)-2*ln(x))^4","A"
853,1,29,27,0.212000," ","int(((-x^3+x^2)*ln(4*x^2-4*x)+2*x^4+2*x^3-5*x^2-2*x+2)/(x^3-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+6 x +\frac{2}{x}-2 x \ln \left(2\right)-x \ln \left(x^{2}-x \right)$&$29$\\ risch&$-x \ln \left(4 x^{2}-4 x \right)+\frac{x^{3}+6 x^{2}+2}{x}$&$29$\\ norman&$\frac{2+x^{3}+6 x^{2}-x^{2} \ln \left(4 x^{2}-4 x \right)}{x}$&$30$\\ \hline \end{longtable}"," ",0,"x^2+6*x+2/x-2*x*ln(2)-x*ln(x^2-x)","A"
854,1,29,23,0.208000," ","int(1/2*(2*(8*x^2+20*x)*ln(2)*ln(1/2*x^2+5/2*x)^3+2*(x^3+5*x^2)*ln(2)+5+x)/(x^3+5*x^2)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}+x \ln \left(\frac{1}{2} x^{2}+\frac{5}{2} x \right)^{4}-\frac{1}{2 \ln \left(2\right)}}{x}$&$29$\\ risch&$\ln \left(\frac{1}{2} x^{2}+\frac{5}{2} x \right)^{4}+\frac{2 x^{2} \ln \left(2\right)-1}{2 \ln \left(2\right) x}$&$32$\\ default&$\frac{-\frac{1}{x}+2 \ln \left(2\right) \ln \left(x^{2}+5 x \right)^{4}+2 x \ln \left(2\right)-8 \ln \left(2\right)^{4} \ln \left(\left(5+x \right) x \right)-12 \ln \left(2\right)^{3} \ln \left(x \right)^{2}+24 \ln \left(2\right)^{3} \ln \left(x \right) \ln \left(x^{2}+5 x \right)-24 \ln \left(2\right)^{3} \ln \left(x \right) \ln \left(1+\frac{x}{5}\right)+24 \ln \left(2\right)^{3} \ln \left(5+x \right) \ln \left(x^{2}+5 x \right)+24 \ln \left(2\right)^{3} \ln \left(-\frac{x}{5}\right) \ln \left(1+\frac{x}{5}\right)-12 \ln \left(2\right)^{3} \ln \left(5+x \right)^{2}-24 \ln \left(2\right)^{3} \ln \left(-\frac{x}{5}\right) \ln \left(5+x \right)-8 \ln \left(2\right)^{2} \ln \left(x^{2}+5 x \right)^{3}}{2 \ln \left(2\right)}$&$160$\\ \hline \end{longtable}"," ",0,"(x^2+x*ln(1/2*x^2+5/2*x)^4-1/2/ln(2))/x","A"
855,0,0,23,0.133000," ","int(((12*exp(exp(-7/3*x+4))+112*x*exp(-7/3*x+4))*ln((20*ln(x)^2*exp(exp(-7/3*x+4))^2+160*ln(x)*exp(exp(-7/3*x+4))+320)/exp(exp(-7/3*x+4))^2)+3*x*ln(x)*exp(exp(-7/3*x+4))+12*x)/(3*x*ln(x)*exp(exp(-7/3*x+4))+12*x),x)","\[\int \frac{\left(12 \,{\mathrm e}^{{\mathrm e}^{-\frac{7 x}{3}+4}}+112 x \,{\mathrm e}^{-\frac{7 x}{3}+4}\right) \ln \left(\left(20 \ln \left(x \right)^{2} {\mathrm e}^{2 \,{\mathrm e}^{-\frac{7 x}{3}+4}}+160 \ln \left(x \right) {\mathrm e}^{{\mathrm e}^{-\frac{7 x}{3}+4}}+320\right) {\mathrm e}^{-2 \,{\mathrm e}^{-\frac{7 x}{3}+4}}\right)+3 x \ln \left(x \right) {\mathrm e}^{{\mathrm e}^{-\frac{7 x}{3}+4}}+12 x}{3 x \ln \left(x \right) {\mathrm e}^{{\mathrm e}^{-\frac{7 x}{3}+4}}+12 x}\, dx\]"," ",0,"int(((12*exp(exp(-7/3*x+4))+112*x*exp(-7/3*x+4))*ln((20*ln(x)^2*exp(exp(-7/3*x+4))^2+160*ln(x)*exp(exp(-7/3*x+4))+320)/exp(exp(-7/3*x+4))^2)+3*x*ln(x)*exp(exp(-7/3*x+4))+12*x)/(3*x*ln(x)*exp(exp(-7/3*x+4))+12*x),x)","F"
856,1,75,29,0.114000," ","int((((3+x)*ln(3+x)-16*x-48)*ln((-ln(3+x)+16)/exp(1))+(x^3+x^2-6*x)*ln(3+x)-16*x^3-16*x^2+95*x)*exp((ln((-ln(3+x)+16)/exp(1))+x*ln(x^2)-x^2)/x)/((x^3+3*x^2)*ln(3+x)-16*x^3-48*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} \left(\left(-\ln \left(3+x \right)+16\right) {\mathrm e}^{-1}\right)^{\frac{1}{x}} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}}{2}-x}$&$75$\\ \hline \end{longtable}"," ",0,"-x^2*((-ln(3+x)+16)*exp(-1))^(1/x)*exp(-1/2*I*Pi*csgn(I*x^2)^3+I*Pi*csgn(I*x^2)^2*csgn(I*x)-1/2*I*Pi*csgn(I*x^2)*csgn(I*x)^2-x)","C"
857,1,25,23,0.080000," ","int((-ln(-exp(4*exp(3)+x+12))+(1-x)*ln(5)+1)/exp(x)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(x +\frac{\ln \left(-{\mathrm e}^{4 \,{\mathrm e}^{3}+12} {\mathrm e}^{x}\right)}{\ln \left(5\right)}\right) {\mathrm e}^{-x}$&$25$\\ default&$\frac{12 \,{\mathrm e}^{-x}+x \,{\mathrm e}^{-x}+{\mathrm e}^{-x} \left(\ln \left(-{\mathrm e}^{4 \,{\mathrm e}^{3}+x +12}\right)-4 \,{\mathrm e}^{3}-x -12\right)+4 \,{\mathrm e}^{-x} {\mathrm e}^{3}+{\mathrm e}^{-x} x \ln \left(5\right)}{\ln \left(5\right)}$&$60$\\ risch&$\frac{{\mathrm e}^{-x} \ln \left({\mathrm e}^{x}\right)}{\ln \left(5\right)}+\frac{\left(-2 i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2}+2 i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{3}+2 i \pi +8 \,{\mathrm e}^{3}+24+2 x \ln \left(5\right)\right) {\mathrm e}^{-x}}{2 \ln \left(5\right)}$&$63$\\ \hline \end{longtable}"," ",0,"(x+1/ln(5)*ln(-exp(4*exp(3)+12)*exp(x)))/exp(x)","A"
858,1,12,14,0.019000," ","int((1296*ln(x)-1296)/(ln(x)^2+216*x*ln(x)+11664*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1296 x}{\ln \left(x \right)+108 x}$&$12$\\ risch&$\frac{1296 x}{\ln \left(x \right)+108 x}$&$12$\\ \hline \end{longtable}"," ",0,"1296*x/(ln(x)+108*x)","A"
859,1,43,21,0.084000," ","int((((2*exp(x)*x-2*x)*ln(x)-exp(x)^3+(3*x+12)*exp(x)^2+(-3*x^2-24*x-48)*exp(x)+x^3+12*x^2+48*x+64)*exp(1/(exp(x)^2+(-2*x-8)*exp(x)+x^2+8*x+16))+(-x*exp(x)^3+(3*x^2+12*x)*exp(x)^2+(-3*x^3-24*x^2-48*x)*exp(x)+x^4+12*x^3+48*x^2+64*x)*ln(x)+(2-x)*exp(x)^3+(3*x^2+6*x-24)*exp(x)^2+(-3*x^3-18*x^2+96)*exp(x)+x^4+10*x^3+24*x^2-32*x-128)*exp(-ln(x)*exp(1/(exp(x)^2+(-2*x-8)*exp(x)+x^2+8*x+16))+(2-x)*ln(x))/(x*exp(x)^3+(-3*x^2-12*x)*exp(x)^2+(3*x^3+24*x^2+48*x)*exp(x)-x^4-12*x^3-48*x^2-64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{-{\mathrm e}^{-\frac{1}{2 \,{\mathrm e}^{x} x -x^{2}-{\mathrm e}^{2 x}+8 \,{\mathrm e}^{x}-8 x -16}}} x^{2-x}$&$43$\\ \hline \end{longtable}"," ",0,"x^(-exp(-1/(2*exp(x)*x-x^2-exp(2*x)+8*exp(x)-8*x-16)))*x^(2-x)","A"
860,1,45,24,0.076000," ","int(((18*x^2-12*x)*exp(2)^2*ln(1/2/x)^2+(-18*x^2+24*x-8)*exp(2)^2*ln(1/2/x)+2*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +4 \,{\mathrm e}^{4} \ln \left(\frac{1}{2 x}\right)^{2}-12 \,{\mathrm e}^{4} \ln \left(\frac{1}{2 x}\right)^{2} x +9 \,{\mathrm e}^{4} \ln \left(\frac{1}{2 x}\right)^{2} x^{2}$&$45$\\ norman&$2 x +4 \,{\mathrm e}^{4} \ln \left(\frac{1}{2 x}\right)^{2}-12 \,{\mathrm e}^{4} \ln \left(\frac{1}{2 x}\right)^{2} x +9 \,{\mathrm e}^{4} \ln \left(\frac{1}{2 x}\right)^{2} x^{2}$&$51$\\ derivativedivides&$6 \,{\mathrm e}^{4} \left(-2 x \ln \left(\frac{1}{2 x}\right)^{2}-4 \ln \left(\frac{1}{2 x}\right) x -4 x \right)+4 \,{\mathrm e}^{4} \ln \left(\frac{1}{2 x}\right)^{2}-\frac{9 \,{\mathrm e}^{4} \left(-2 \ln \left(\frac{1}{2 x}\right)^{2} x^{2}-2 \ln \left(\frac{1}{2 x}\right) x^{2}-x^{2}\right)}{2}-12 \,{\mathrm e}^{4} \left(-2 \ln \left(\frac{1}{2 x}\right) x -2 x \right)+\frac{9 \,{\mathrm e}^{4} \left(-2 \ln \left(\frac{1}{2 x}\right) x^{2}-x^{2}\right)}{2}+2 x$&$127$\\ default&$6 \,{\mathrm e}^{4} \left(-2 x \ln \left(\frac{1}{2 x}\right)^{2}-4 \ln \left(\frac{1}{2 x}\right) x -4 x \right)+4 \,{\mathrm e}^{4} \ln \left(\frac{1}{2 x}\right)^{2}-\frac{9 \,{\mathrm e}^{4} \left(-2 \ln \left(\frac{1}{2 x}\right)^{2} x^{2}-2 \ln \left(\frac{1}{2 x}\right) x^{2}-x^{2}\right)}{2}-12 \,{\mathrm e}^{4} \left(-2 \ln \left(\frac{1}{2 x}\right) x -2 x \right)+\frac{9 \,{\mathrm e}^{4} \left(-2 \ln \left(\frac{1}{2 x}\right) x^{2}-x^{2}\right)}{2}+2 x$&$127$\\ \hline \end{longtable}"," ",0,"2*x+4*exp(4)*ln(1/2/x)^2-12*exp(4)*ln(1/2/x)^2*x+9*exp(4)*ln(1/2/x)^2*x^2","A"
861,1,18,23,0.041000," ","int((-x*ln(3)-8*x^3+65*x^2-8*x+16)/(x^3-8*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(3\right)-8 x^{2}}{x -4}+\ln \left(x \right)$&$18$\\ default&$-8 x +\ln \left(x \right)-\frac{-\ln \left(3\right)+128}{x -4}$&$20$\\ risch&$-8 x +\frac{\ln \left(3\right)}{x -4}-\frac{128}{x -4}+\ln \left(x \right)$&$22$\\ \hline \end{longtable}"," ",0,"(ln(3)-8*x^2)/(x-4)+ln(x)","A"
862,1,15,14,0.014000," ","int(1/16*ln(-1/20*x)-exp(4+x)+1/16,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x \ln \left(-\frac{x}{20}\right)}{16}-{\mathrm e}^{4+x}$&$15$\\ norman&$\frac{x \ln \left(-\frac{x}{20}\right)}{16}-{\mathrm e}^{4+x}$&$15$\\ risch&$\frac{x \ln \left(-\frac{x}{20}\right)}{16}-{\mathrm e}^{4+x}$&$15$\\ \hline \end{longtable}"," ",0,"1/16*x*ln(-1/20*x)-exp(4+x)","A"
863,1,60,28,0.080000," ","int(((-8*x+24)*exp(4)^2*ln(x-3)^4+(-16*x^2+16*x+96)*exp(4)*ln(x-3)^2+64*x*exp(4)*ln(x-3)-8*x^3+24*x^2)/(((x-3)*exp(4)^2*ln(5)^2+(-4*x^2+12*x)*exp(4)^2*ln(5)+(4*x^3-12*x^2)*exp(4)^2)*ln(x-3)^4+((2*x^2-6*x)*exp(4)*ln(5)^2+(-8*x^3+8*x^2+48*x)*exp(4)*ln(5)+(8*x^4+8*x^3-96*x^2)*exp(4))*ln(x-3)^2+(x^3-3*x^2)*ln(5)^2+(-4*x^4-4*x^3+48*x^2)*ln(5)+4*x^5+20*x^4-32*x^3-192*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4}{\ln \left(5\right)-2 x}-\frac{32 x}{\left(\ln \left(5\right)-2 x \right) \left(\ln \left(x -3\right)^{2} \ln \left(5\right) {\mathrm e}^{4}-2 \,{\mathrm e}^{4} \ln \left(x -3\right)^{2} x +x \ln \left(5\right)-2 x^{2}-8 x \right)}$&$60$\\ \hline \end{longtable}"," ",0,"-4/(ln(5)-2*x)-32*x/(ln(5)-2*x)/(ln(x-3)^2*ln(5)*exp(4)-2*exp(4)*ln(x-3)^2*x+x*ln(5)-2*x^2-8*x)","B"
864,1,13,14,0.033000," ","int((-2*x-6)/((2+x)*ln(-x-2)+x^2-16*x-36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 \ln \left(\ln \left(-x -2\right)+x -18\right)$&$13$\\ risch&$-2 \ln \left(\ln \left(-x -2\right)+x -18\right)$&$13$\\ \hline \end{longtable}"," ",0,"-2*ln(ln(-x-2)+x-18)","A"
865,1,21,25,0.304000," ","int((((12*x-12)*exp(1)+12*x^2-24*x)*exp(4+x)-2*x^2)/(x^2*exp(1)^2+2*x^3*exp(1)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{12 \,{\mathrm e}^{4+x}+2 x}{x \left(x +{\mathrm e}\right)}$&$21$\\ risch&$\frac{2}{x +{\mathrm e}}+\frac{12 \,{\mathrm e}^{4+x}}{\left(x +{\mathrm e}\right) x}$&$25$\\ derivativedivides&$\frac{64 \,{\mathrm e}^{-2} \left(4+x \right)-4 \,{\mathrm e}^{-2} \left(64-8 \,{\mathrm e}\right)}{x \left(x +{\mathrm e}\right)}+\frac{\left(-128+16 \,{\mathrm e}\right) {\mathrm e}^{-2} \left(4+x \right)-4 \,{\mathrm e}^{-2} \left(-128+32 \,{\mathrm e}\right)}{x \left(x +{\mathrm e}\right)}+\frac{\left(64+2 \,{\mathrm e}^{2}-16 \,{\mathrm e}\right) {\mathrm e}^{-2} \left(4+x \right)-4 \left({\mathrm e}-4\right) {\mathrm e}^{-2} \left(-16+2 \,{\mathrm e}\right)}{x \left(x +{\mathrm e}\right)}-\frac{288 \,{\mathrm e}^{4+x} \left({\mathrm e}+2 x \right) {\mathrm e}^{-2}}{\left(4+x \right) {\mathrm e}+\left(4+x \right)^{2}-4 \,{\mathrm e}-16-8 x}-288 \,{\mathrm e}^{-2} \left({\mathrm e}-2\right) {\mathrm e}^{-1} {\mathrm e}^{4} \expIntegralEi \left(1, -x \right)-288 \,{\mathrm e}^{-2} \left({\mathrm e}+2\right) {\mathrm e}^{-1} {\mathrm e}^{4-{\mathrm e}} \expIntegralEi \left(1, -{\mathrm e}-x \right)-60 \,{\mathrm e} \left(-\frac{{\mathrm e}^{4+x} \left({\mathrm e}+2 x \right) {\mathrm e}^{-2}}{\left(4+x \right) {\mathrm e}+\left(4+x \right)^{2}-4 \,{\mathrm e}-16-8 x}-{\mathrm e}^{-2} \left({\mathrm e}-2\right) {\mathrm e}^{-1} {\mathrm e}^{4} \expIntegralEi \left(1, -x \right)-{\mathrm e}^{-2} \left({\mathrm e}+2\right) {\mathrm e}^{-1} {\mathrm e}^{4-{\mathrm e}} \expIntegralEi \left(1, -{\mathrm e}-x \right)\right)-\frac{120 \,{\mathrm e}^{4+x} \left(\left(4+x \right) {\mathrm e}-8 \,{\mathrm e}-8 x \right) {\mathrm e}^{-2}}{\left(4+x \right) {\mathrm e}+\left(4+x \right)^{2}-4 \,{\mathrm e}-16-8 x}+120 \,{\mathrm e}^{-2} \left(5 \,{\mathrm e}-8\right) {\mathrm e}^{-1} {\mathrm e}^{4} \expIntegralEi \left(1, -x \right)-120 \,{\mathrm e}^{-2} \left({\mathrm e}^{2}-3 \,{\mathrm e}-8\right) {\mathrm e}^{-1} {\mathrm e}^{4-{\mathrm e}} \expIntegralEi \left(1, -{\mathrm e}-x \right)-\frac{12 \,{\mathrm e}^{4+x} \left(\left(4+x \right) {\mathrm e}^{2}-4 \,{\mathrm e}^{2}-8 \left(4+x \right) {\mathrm e}+48 \,{\mathrm e}+32 x \right) {\mathrm e}^{-2}}{\left(4+x \right) {\mathrm e}+\left(4+x \right)^{2}-4 \,{\mathrm e}-16-8 x}-96 \,{\mathrm e}^{-2} \left(3 \,{\mathrm e}-4\right) {\mathrm e}^{-1} {\mathrm e}^{4} \expIntegralEi \left(1, -x \right)-12 \,{\mathrm e}^{-2} \left({\mathrm e} \,{\mathrm e}^{2}-8 \,{\mathrm e}^{2}+8 \,{\mathrm e}+32\right) {\mathrm e}^{-1} {\mathrm e}^{4-{\mathrm e}} \expIntegralEi \left(1, -{\mathrm e}-x \right)+12 \,{\mathrm e} \left(\frac{{\mathrm e}^{4+x} \left(\left(4+x \right) {\mathrm e}-8 \,{\mathrm e}-8 x \right) {\mathrm e}^{-2}}{\left(4+x \right) {\mathrm e}+\left(4+x \right)^{2}-4 \,{\mathrm e}-16-8 x}-{\mathrm e}^{-2} \left(5 \,{\mathrm e}-8\right) {\mathrm e}^{-1} {\mathrm e}^{4} \expIntegralEi \left(1, -x \right)+{\mathrm e}^{-2} \left({\mathrm e}^{2}-3 \,{\mathrm e}-8\right) {\mathrm e}^{-1} {\mathrm e}^{4-{\mathrm e}} \expIntegralEi \left(1, -{\mathrm e}-x \right)\right)$&$626$\\ default&$\frac{64 \,{\mathrm e}^{-2} \left(4+x \right)-4 \,{\mathrm e}^{-2} \left(64-8 \,{\mathrm e}\right)}{x \left(x +{\mathrm e}\right)}+\frac{\left(-128+16 \,{\mathrm e}\right) {\mathrm e}^{-2} \left(4+x \right)-4 \,{\mathrm e}^{-2} \left(-128+32 \,{\mathrm e}\right)}{x \left(x +{\mathrm e}\right)}+\frac{\left(64+2 \,{\mathrm e}^{2}-16 \,{\mathrm e}\right) {\mathrm e}^{-2} \left(4+x \right)-4 \left({\mathrm e}-4\right) {\mathrm e}^{-2} \left(-16+2 \,{\mathrm e}\right)}{x \left(x +{\mathrm e}\right)}-\frac{288 \,{\mathrm e}^{4+x} \left({\mathrm e}+2 x \right) {\mathrm e}^{-2}}{\left(4+x \right) {\mathrm e}+\left(4+x \right)^{2}-4 \,{\mathrm e}-16-8 x}-288 \,{\mathrm e}^{-2} \left({\mathrm e}-2\right) {\mathrm e}^{-1} {\mathrm e}^{4} \expIntegralEi \left(1, -x \right)-288 \,{\mathrm e}^{-2} \left({\mathrm e}+2\right) {\mathrm e}^{-1} {\mathrm e}^{4-{\mathrm e}} \expIntegralEi \left(1, -{\mathrm e}-x \right)-60 \,{\mathrm e} \left(-\frac{{\mathrm e}^{4+x} \left({\mathrm e}+2 x \right) {\mathrm e}^{-2}}{\left(4+x \right) {\mathrm e}+\left(4+x \right)^{2}-4 \,{\mathrm e}-16-8 x}-{\mathrm e}^{-2} \left({\mathrm e}-2\right) {\mathrm e}^{-1} {\mathrm e}^{4} \expIntegralEi \left(1, -x \right)-{\mathrm e}^{-2} \left({\mathrm e}+2\right) {\mathrm e}^{-1} {\mathrm e}^{4-{\mathrm e}} \expIntegralEi \left(1, -{\mathrm e}-x \right)\right)-\frac{120 \,{\mathrm e}^{4+x} \left(\left(4+x \right) {\mathrm e}-8 \,{\mathrm e}-8 x \right) {\mathrm e}^{-2}}{\left(4+x \right) {\mathrm e}+\left(4+x \right)^{2}-4 \,{\mathrm e}-16-8 x}+120 \,{\mathrm e}^{-2} \left(5 \,{\mathrm e}-8\right) {\mathrm e}^{-1} {\mathrm e}^{4} \expIntegralEi \left(1, -x \right)-120 \,{\mathrm e}^{-2} \left({\mathrm e}^{2}-3 \,{\mathrm e}-8\right) {\mathrm e}^{-1} {\mathrm e}^{4-{\mathrm e}} \expIntegralEi \left(1, -{\mathrm e}-x \right)-\frac{12 \,{\mathrm e}^{4+x} \left(\left(4+x \right) {\mathrm e}^{2}-4 \,{\mathrm e}^{2}-8 \left(4+x \right) {\mathrm e}+48 \,{\mathrm e}+32 x \right) {\mathrm e}^{-2}}{\left(4+x \right) {\mathrm e}+\left(4+x \right)^{2}-4 \,{\mathrm e}-16-8 x}-96 \,{\mathrm e}^{-2} \left(3 \,{\mathrm e}-4\right) {\mathrm e}^{-1} {\mathrm e}^{4} \expIntegralEi \left(1, -x \right)-12 \,{\mathrm e}^{-2} \left({\mathrm e} \,{\mathrm e}^{2}-8 \,{\mathrm e}^{2}+8 \,{\mathrm e}+32\right) {\mathrm e}^{-1} {\mathrm e}^{4-{\mathrm e}} \expIntegralEi \left(1, -{\mathrm e}-x \right)+12 \,{\mathrm e} \left(\frac{{\mathrm e}^{4+x} \left(\left(4+x \right) {\mathrm e}-8 \,{\mathrm e}-8 x \right) {\mathrm e}^{-2}}{\left(4+x \right) {\mathrm e}+\left(4+x \right)^{2}-4 \,{\mathrm e}-16-8 x}-{\mathrm e}^{-2} \left(5 \,{\mathrm e}-8\right) {\mathrm e}^{-1} {\mathrm e}^{4} \expIntegralEi \left(1, -x \right)+{\mathrm e}^{-2} \left({\mathrm e}^{2}-3 \,{\mathrm e}-8\right) {\mathrm e}^{-1} {\mathrm e}^{4-{\mathrm e}} \expIntegralEi \left(1, -{\mathrm e}-x \right)\right)$&$626$\\ \hline \end{longtable}"," ",0,"(12*exp(4+x)+2*x)/x/(x+exp(1))","A"
866,1,21,24,0.117000," ","int(((9*x^3+45*x^2+6*x+36)*exp(2*ln(5+x)+2*x)+3*x^4-12*x^3-135*x^2+x+5)/((15+3*x)*exp(2*ln(5+x)+2*x)+x^2-4*x-45),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+\ln \left(\left(5+x \right)^{2} {\mathrm e}^{2 x}+\frac{x}{3}-3\right)$&$21$\\ norman&$x^{3}+\ln \left(x +3 \,{\mathrm e}^{2 \ln \left(5+x \right)+2 x}-9\right)$&$22$\\ \hline \end{longtable}"," ",0,"x^3+ln((5+x)^2*exp(2*x)+1/3*x-3)","A"
867,1,114,26,0.056000," ","int(524288/9*x^7*ln(2)^2*ln(5)^8-1835008/9*x^6*ln(2)^2*ln(5)^7+917504/3*x^5*ln(2)^2*ln(5)^6-2293760/9*x^4*ln(2)^2*ln(5)^5+1/9*(-6144*x^5+1157120*x^3)*ln(2)^2*ln(5)^4+1/9*(10240*x^4-359424*x^2)*ln(2)^2*ln(5)^3+1/9*(-6144*x^3+65024*x)*ln(2)^2*ln(5)^2+1/9*(1536*x^2-5376)*ln(2)^2*ln(5)+1/9*(16*x^3-168*x)*ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \ln \left(2\right)^{2} x \left(16384 x^{7} \ln \left(5\right)^{8}-65536 x^{6} \ln \left(5\right)^{7}+114688 x^{5} \ln \left(5\right)^{6}-114688 x^{4} \ln \left(5\right)^{5}-256 \ln \left(5\right)^{4} x^{5}+72320 x^{3} \ln \left(5\right)^{4}+512 x^{4} \ln \left(5\right)^{3}-29952 x^{2} \ln \left(5\right)^{3}-384 x^{3} \ln \left(5\right)^{2}+8128 x \ln \left(5\right)^{2}+128 x^{2} \ln \left(5\right)+x^{3}-1344 \ln \left(5\right)-21 x \right)}{9}$&$114$\\ default&$\frac{65536 x^{8} \ln \left(2\right)^{2} \ln \left(5\right)^{8}}{9}-\frac{262144 x^{7} \ln \left(2\right)^{2} \ln \left(5\right)^{7}}{9}+\frac{458752 x^{6} \ln \left(2\right)^{2} \ln \left(5\right)^{6}}{9}-\frac{458752 x^{5} \ln \left(2\right)^{2} \ln \left(5\right)^{5}}{9}+\frac{\ln \left(2\right)^{2} \ln \left(5\right)^{4} \left(-1024 x^{6}+289280 x^{4}\right)}{9}+\frac{\ln \left(2\right)^{2} \ln \left(5\right)^{3} \left(2048 x^{5}-119808 x^{3}\right)}{9}+\frac{\ln \left(2\right)^{2} \ln \left(5\right)^{2} \left(-1536 x^{4}+32512 x^{2}\right)}{9}+\frac{\ln \left(2\right)^{2} \ln \left(5\right) \left(512 x^{3}-5376 x \right)}{9}+\frac{\ln \left(2\right)^{2} \left(4 x^{4}-84 x^{2}\right)}{9}$&$151$\\ norman&$\left(\frac{32512 \ln \left(2\right)^{2} \ln \left(5\right)^{2}}{9}-\frac{28 \ln \left(2\right)^{2}}{3}\right) x^{2}+\left(-13312 \ln \left(2\right)^{2} \ln \left(5\right)^{3}+\frac{512 \ln \left(2\right)^{2} \ln \left(5\right)}{9}\right) x^{3}+\left(-\frac{458752 \ln \left(2\right)^{2} \ln \left(5\right)^{5}}{9}+\frac{2048 \ln \left(2\right)^{2} \ln \left(5\right)^{3}}{9}\right) x^{5}+\left(\frac{458752 \ln \left(2\right)^{2} \ln \left(5\right)^{6}}{9}-\frac{1024 \ln \left(2\right)^{2} \ln \left(5\right)^{4}}{9}\right) x^{6}+\left(\frac{289280 \ln \left(2\right)^{2} \ln \left(5\right)^{4}}{9}-\frac{512 \ln \left(2\right)^{2} \ln \left(5\right)^{2}}{3}+\frac{4 \ln \left(2\right)^{2}}{9}\right) x^{4}-\frac{1792 x \ln \left(2\right)^{2} \ln \left(5\right)}{3}-\frac{262144 x^{7} \ln \left(2\right)^{2} \ln \left(5\right)^{7}}{9}+\frac{65536 x^{8} \ln \left(2\right)^{2} \ln \left(5\right)^{8}}{9}$&$162$\\ risch&$\frac{65536 x^{8} \ln \left(2\right)^{2} \ln \left(5\right)^{8}}{9}-\frac{262144 x^{7} \ln \left(2\right)^{2} \ln \left(5\right)^{7}}{9}+\frac{458752 x^{6} \ln \left(2\right)^{2} \ln \left(5\right)^{6}}{9}-\frac{458752 x^{5} \ln \left(2\right)^{2} \ln \left(5\right)^{5}}{9}-\frac{1024 \ln \left(2\right)^{2} \ln \left(5\right)^{4} x^{6}}{9}+\frac{289280 \ln \left(2\right)^{2} \ln \left(5\right)^{4} x^{4}}{9}+\frac{2048 \ln \left(2\right)^{2} \ln \left(5\right)^{3} x^{5}}{9}-13312 \ln \left(2\right)^{2} \ln \left(5\right)^{3} x^{3}-\frac{512 \ln \left(2\right)^{2} \ln \left(5\right)^{2} x^{4}}{3}+\frac{32512 x^{2} \ln \left(2\right)^{2} \ln \left(5\right)^{2}}{9}+\frac{512 \ln \left(2\right)^{2} \ln \left(5\right) x^{3}}{9}-\frac{1792 x \ln \left(2\right)^{2} \ln \left(5\right)}{3}+\frac{4 x^{4} \ln \left(2\right)^{2}}{9}-\frac{28 x^{2} \ln \left(2\right)^{2}}{3}$&$170$\\ \hline \end{longtable}"," ",0,"4/9*ln(2)^2*x*(16384*x^7*ln(5)^8-65536*x^6*ln(5)^7+114688*x^5*ln(5)^6-114688*x^4*ln(5)^5-256*ln(5)^4*x^5+72320*x^3*ln(5)^4+512*x^4*ln(5)^3-29952*x^2*ln(5)^3-384*x^3*ln(5)^2+8128*x*ln(5)^2+128*x^2*ln(5)+x^3-1344*ln(5)-21*x)","B"
868,1,52,33,0.098000," ","int(((-160*x^3+1200*x^2-2480*x+1440)*ln(-x^2+3*x-2)+4*x^6-76*x^5+152*x^4+1748*x^3-3444*x^2+720*x)/(9*x^6-189*x^5+873*x^4+1809*x^3-5382*x^2-4320*x+7200),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-36 x -4 \ln \left(-x^{2}+3 x -2\right) x +\frac{4 \ln \left(-x^{2}+3 x -2\right) x^{2}}{9}+\frac{4 x^{3}}{9}-80}{x^{2}-9 x -20}$&$52$\\ risch&$\frac{80 \ln \left(-x^{2}+3 x -2\right)}{9 \left(x^{2}-9 x -20\right)}+\frac{\frac{4 \ln \left(x^{2}-3 x +2\right) x^{2}}{9}+\frac{4 x^{3}}{9}-4 \ln \left(x^{2}-3 x +2\right) x -4 x^{2}-\frac{80 \ln \left(x^{2}-3 x +2\right)}{9}}{x^{2}-9 x -20}$&$82$\\ \hline \end{longtable}"," ",0,"(-36*x-4*ln(-x^2+3*x-2)*x+4/9*ln(-x^2+3*x-2)*x^2+4/9*x^3-80)/(x^2-9*x-20)","A"
869,1,47,25,0.051000," ","int((1134*x^6+7290*x^5+12636*x^4+2916*x^3)*exp(7*x)^2+(1134*x^6+4374*x^5+2430*x^4)*exp(7*x)+486*x^5-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(81 x^{6}+486 x^{5}+729 x^{4}\right) {\mathrm e}^{14 x}+\left(162 x^{6}+486 x^{5}\right) {\mathrm e}^{7 x}+81 x^{6}-x$&$47$\\ derivativedivides&$-x +81 x^{6}+162 \,{\mathrm e}^{7 x} x^{6}+486 \,{\mathrm e}^{7 x} x^{5}+81 \,{\mathrm e}^{14 x} x^{6}+486 \,{\mathrm e}^{14 x} x^{5}+729 \,{\mathrm e}^{14 x} x^{4}$&$61$\\ default&$-x +81 x^{6}+162 \,{\mathrm e}^{7 x} x^{6}+486 \,{\mathrm e}^{7 x} x^{5}+81 \,{\mathrm e}^{14 x} x^{6}+486 \,{\mathrm e}^{14 x} x^{5}+729 \,{\mathrm e}^{14 x} x^{4}$&$61$\\ norman&$-x +81 x^{6}+162 \,{\mathrm e}^{7 x} x^{6}+486 \,{\mathrm e}^{7 x} x^{5}+81 \,{\mathrm e}^{14 x} x^{6}+486 \,{\mathrm e}^{14 x} x^{5}+729 \,{\mathrm e}^{14 x} x^{4}$&$61$\\ \hline \end{longtable}"," ",0,"(81*x^6+486*x^5+729*x^4)*exp(14*x)+(162*x^6+486*x^5)*exp(7*x)+81*x^6-x","A"
870,1,18,13,0.029000," ","int(((2*x-2)*ln(x)-2*x^2+x)*exp(ln(x)^2-2*x*ln(x)+x^2+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-{\mathrm e}^{\ln \left(x \right)^{2}-2 x \ln \left(x \right)+x^{2}+x}$&$18$\\ risch&$-x^{-2 x} {\mathrm e}^{\ln \left(x \right)^{2}+x^{2}+x}$&$18$\\ \hline \end{longtable}"," ",0,"-exp(ln(x)^2-2*x*ln(x)+x^2+x)","A"
871,1,17,22,0.029000," ","int((-2*ln(2)*ln(x)^2+(-4*x+4)*ln(2)*ln(x)+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(x -1\right) \ln \left(2\right) \ln \left(x \right)^{2}}{x}+x$&$17$\\ norman&$\frac{x^{2}+2 \ln \left(2\right) \ln \left(x \right)^{2}-2 x \ln \left(2\right) \ln \left(x \right)^{2}}{x}$&$26$\\ default&$-2 \ln \left(2\right) \left(-\frac{\ln \left(x \right)^{2}}{x}-\frac{2 \ln \left(x \right)}{x}-\frac{2}{x}\right)-2 \ln \left(2\right) \ln \left(x \right)^{2}+4 \ln \left(2\right) \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)+x$&$54$\\ \hline \end{longtable}"," ",0,"-2*(x-1)*ln(2)/x*ln(x)^2+x","A"
872,1,314,22,0.203000," ","int(1/81*((54*x^2-24*x+2)*ln(exp(x)/x)^3+(-144*x^3+36*x^2)*ln(exp(x)/x)^2+(126*x^4-48*x^3+12*x^2)*ln(exp(x)/x)-36*x^5+36*x^4)/ln(exp(x)/x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{3}}{9}-\frac{4 x^{2}}{27}+\frac{2 x}{81}+\frac{8 x^{3} \left(3 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)-3 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}-3 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}+3 i \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3}-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3}+3 x^{2}+6 x \ln \left(x \right)-6 \ln \left({\mathrm e}^{x}\right) x -2 \ln \left(x \right)+2 \ln \left({\mathrm e}^{x}\right)\right)}{27 \left(2 \ln \left(x \right)-2 \ln \left({\mathrm e}^{x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3}\right)^{2}}$&$314$\\ default&$\frac{\left(18 \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)-x +\ln \left(x \right)\right)^{2}-12 \ln \left(\frac{{\mathrm e}^{x}}{x}\right)+12 x -12 \ln \left(x \right)+2\right) x^{3}+\left(12 \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)-x +\ln \left(x \right)\right)^{2}-4 \ln \left(\frac{{\mathrm e}^{x}}{x}\right)+4 x -4 \ln \left(x \right)\right) \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)-x +\ln \left(x \right)\right)^{2}+\left(12 \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)-x +\ln \left(x \right)\right)^{2}-4 \ln \left(\frac{{\mathrm e}^{x}}{x}\right)+4 x -4 \ln \left(x \right)\right) \ln \left(x \right)^{2}+\left(24 \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)-x +\ln \left(x \right)\right)^{3}-6 \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)-x +\ln \left(x \right)\right)^{2}\right) x +\left(12-36 \ln \left(\frac{{\mathrm e}^{x}}{x}\right)+36 x -36 \ln \left(x \right)\right) x^{3} \ln \left(x \right)+\left(24 \ln \left(\frac{{\mathrm e}^{x}}{x}\right)-24 x +24 \ln \left(x \right)-4\right) x^{2} \ln \left(x \right)+\left(-24 \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)-x +\ln \left(x \right)\right)^{2}+4 \ln \left(\frac{{\mathrm e}^{x}}{x}\right)-4 x +4 \ln \left(x \right)\right) x \ln \left(x \right)+18 x^{3} \ln \left(x \right)^{2}+2 x \ln \left(x \right)^{2}-12 x^{2} \ln \left(x \right)^{2}-2 \left(12 \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)-x +\ln \left(x \right)\right)^{2}-4 \ln \left(\frac{{\mathrm e}^{x}}{x}\right)+4 x -4 \ln \left(x \right)\right) \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)-x +\ln \left(x \right)\right) \ln \left(x \right)}{81 \ln \left(\frac{{\mathrm e}^{x}}{x}\right)^{2}}$&$340$\\ \hline \end{longtable}"," ",0,"2/9*x^3-4/27*x^2+2/81*x+8/27*x^3*(3*I*Pi*x*csgn(I/x)*csgn(I*exp(x))*csgn(I/x*exp(x))-3*I*Pi*x*csgn(I/x)*csgn(I/x*exp(x))^2-3*I*Pi*x*csgn(I*exp(x))*csgn(I/x*exp(x))^2+3*I*Pi*x*csgn(I/x*exp(x))^3-I*Pi*csgn(I/x)*csgn(I*exp(x))*csgn(I/x*exp(x))+I*Pi*csgn(I/x)*csgn(I/x*exp(x))^2+I*Pi*csgn(I*exp(x))*csgn(I/x*exp(x))^2-I*Pi*csgn(I/x*exp(x))^3+3*x^2+6*x*ln(x)-6*ln(exp(x))*x-2*ln(x)+2*ln(exp(x)))/(2*ln(x)-2*ln(exp(x))+I*Pi*csgn(I/x)*csgn(I*exp(x))*csgn(I/x*exp(x))-I*Pi*csgn(I/x)*csgn(I/x*exp(x))^2-I*Pi*csgn(I*exp(x))*csgn(I/x*exp(x))^2+I*Pi*csgn(I/x*exp(x))^3)^2","C"
873,1,18,16,0.208000," ","int(((x-27)*exp(4)-x+28)/(x-27)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-4} \left(x \,{\mathrm e}^{4}-x +\ln \left(x -27\right)\right)$&$18$\\ risch&${\mathrm e}^{-4} x \,{\mathrm e}^{4}-{\mathrm e}^{-4} x +{\mathrm e}^{-4} \ln \left(x -27\right)$&$20$\\ norman&$\left({\mathrm e}^{4}-1\right) {\mathrm e}^{-4} x +{\mathrm e}^{-4} \ln \left(x -27\right)$&$21$\\ meijerg&$28 \,{\mathrm e}^{-4} \ln \left(1-\frac{x}{27}\right)+729 \left(-\frac{{\mathrm e}^{4}}{27}+\frac{1}{27}\right) {\mathrm e}^{-4} \left(-\frac{x}{27}-\ln \left(1-\frac{x}{27}\right)\right)-27 \ln \left(1-\frac{x}{27}\right)$&$42$\\ \hline \end{longtable}"," ",0,"1/exp(4)*(x*exp(4)-x+ln(x-27))","A"
874,1,34,27,0.101000," ","int((-12288*x^2*ln(5)*ln(2)^3+2304*x^4*ln(5)*ln(2)^2+4*(-36*x^6*ln(5)+8*x)*ln(2)+3*x^8*ln(5)+2*x^3)/(4096*ln(5)*ln(2)^3-768*x^2*ln(5)*ln(2)^2+48*x^4*ln(5)*ln(2)-x^6*ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{3}+\frac{x^{2}}{\ln \left(5\right) \left(x^{4}-32 x^{2} \ln \left(2\right)+256 \ln \left(2\right)^{2}\right)}$&$34$\\ default&$\frac{-x^{3} \ln \left(5\right)+\frac{1}{-16 \ln \left(2\right)+x^{2}}+\frac{16 \ln \left(2\right)}{\left(-16 \ln \left(2\right)+x^{2}\right)^{2}}}{\ln \left(5\right)}$&$38$\\ norman&$\frac{\frac{x^{2}}{\ln \left(5\right)}-x^{7}-256 x^{3} \ln \left(2\right)^{2}+32 x^{5} \ln \left(2\right)}{\left(16 \ln \left(2\right)-x^{2}\right)^{2}}$&$44$\\ gosper&$-\frac{x^{2} \left(x^{5} \ln \left(5\right)-32 x^{3} \ln \left(5\right) \ln \left(2\right)+256 x \ln \left(2\right)^{2} \ln \left(5\right)-1\right)}{\ln \left(5\right) \left(x^{4}-32 x^{2} \ln \left(2\right)+256 \ln \left(2\right)^{2}\right)}$&$55$\\ \hline \end{longtable}"," ",0,"-x^3+x^2/ln(5)/(x^4-32*x^2*ln(2)+256*ln(2)^2)","A"
875,1,11,12,0.187000," ","int(-5*exp(-ln(20*x+8)+exp(4))/(5*x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{{\mathrm e}^{4}}}{20 x +8}$&$11$\\ gosper&${\mathrm e}^{-\ln \left(20 x +8\right)+{\mathrm e}^{4}}$&$13$\\ default&$\frac{{\mathrm e}^{{\mathrm e}^{4}}}{20 x +8}$&$13$\\ norman&$-\frac{5 \,{\mathrm e}^{{\mathrm e}^{4}} x}{8 \left(5 x +2\right)}$&$14$\\ \hline \end{longtable}"," ",0,"1/20*exp(exp(4))/(x+2/5)","A"
876,1,40,30,0.114000," ","int((((4*x^3-4*x^2)*exp(x)^2-10*x^5+10*x^4)*ln(1-x)^2+((2064*x^3-2048*x^2-16*x)*exp(x)^2-5160*x^5+5020*x^4+140*x^3)*ln(1-x)+(266256*x^3-262148*x^2-4072*x-56)*exp(x)^2-665640*x^5+629520*x^4+35630*x^3+490*x^2)/((x^5-x^4)*exp(x)^2*ln(1-x)^2+(516*x^5-502*x^4-14*x^3)*exp(x)^2*ln(1-x)+(66564*x^5-62952*x^4-3563*x^3-49*x^2)*exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-4 \,{\mathrm e}^{2 x}+5 x \right) {\mathrm e}^{-2 x}}{x}+\frac{20}{x \left(x \ln \left(1-x \right)+258 x +7\right)}$&$40$\\ \hline \end{longtable}"," ",0,"(-4*exp(2*x)+5*x)/x*exp(-2*x)+20/x/(x*ln(1-x)+258*x+7)","A"
877,1,20,20,0.087000," ","int(((ln(x)+1)*exp(x-exp(x))^3+((3*x-6)*ln(x)+3*x-6)*exp(x-exp(x))^2+((3*x^2-12*x+12)*ln(x)+6*exp(x)+3*x^2-12*x+6)*exp(x-exp(x))+(x^3-6*x^2+12*x-8)*ln(x)+x^3-6*x^2+12*x-14)/(exp(x-exp(x))^3+(3*x-6)*exp(x-exp(x))^2+(3*x^2-12*x+12)*exp(x-exp(x))+x^3-6*x^2+12*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(x \right)+\frac{3}{\left(x +{\mathrm e}^{x -{\mathrm e}^{x}}-2\right)^{2}}$&$20$\\ \hline \end{longtable}"," ",0,"x*ln(x)+3/(x+exp(x-exp(x))-2)^2","A"
878,1,23,16,0.074000," ","int((2*exp(x)+x^2-x-1)*exp(((2*x+1)*exp(x)-x^2-x)/exp(x))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\left(2 \,{\mathrm e}^{x} x -x^{2}+{\mathrm e}^{x}-x \right) {\mathrm e}^{-x}}$&$23$\\ norman&${\mathrm e}^{\left(\left(2 x +1\right) {\mathrm e}^{x}-x^{2}-x \right) {\mathrm e}^{-x}}$&$24$\\ \hline \end{longtable}"," ",0,"exp((2*exp(x)*x-x^2+exp(x)-x)*exp(-x))","A"
879,1,17,17,0.034000," ","int(((100*x+100)*exp(x)+exp(1)+20*x)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +10 x^{2} {\mathrm e}^{-1}+100 x \,{\mathrm e}^{x -1}$&$17$\\ default&${\mathrm e}^{-1} \left(100 \,{\mathrm e}^{x} x +10 x^{2}+x \,{\mathrm e}\right)$&$21$\\ norman&$x +10 x^{2} {\mathrm e}^{-1}+100 x \,{\mathrm e}^{-1} {\mathrm e}^{x}$&$21$\\ \hline \end{longtable}"," ",0,"x+10*x^2*exp(-1)+100*x*exp(x-1)","A"
880,1,13,13,0.022000," ","int(exp(x)-5*exp(x-4)-1/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{4}-5 \,{\mathrm e}^{x -4}+{\mathrm e}^{x}$&$13$\\ risch&$-\frac{x}{4}-5 \,{\mathrm e}^{x -4}+{\mathrm e}^{x}$&$13$\\ norman&$\left({\mathrm e}^{4}-5\right) {\mathrm e}^{-4} {\mathrm e}^{x}-\frac{x}{4}$&$16$\\ \hline \end{longtable}"," ",0,"-1/4*x-5*exp(x-4)+exp(x)","A"
881,0,0,33,0.214000," ","int(((2*x*exp(5)*ln(4/3*x^2)+2*x^2*exp(5))*ln(2*x/(ln(4/3*x^2)+x))^3+((-10*x^2+4*x)*exp(5)*ln(4/3*x^2)+(-10*x^3-8*x)*exp(5))*ln(2*x/(ln(4/3*x^2)+x))^2+((-2*exp(5)^2+(14*x^3-8*x^2)*exp(5))*ln(4/3*x^2)-2*x*exp(5)^2+(14*x^4+16*x^2)*exp(5))*ln(2*x/(ln(4/3*x^2)+x))+((6*x-4)*exp(5)^2+(-6*x^4+4*x^3)*exp(5))*ln(4/3*x^2)+(6*x^2+8)*exp(5)^2+(-6*x^5-8*x^3)*exp(5))/((x^3*ln(4/3*x^2)+x^4)*ln(2*x/(ln(4/3*x^2)+x))^5+(-5*x^4*ln(4/3*x^2)-5*x^5)*ln(2*x/(ln(4/3*x^2)+x))^4+(10*x^5*ln(4/3*x^2)+10*x^6)*ln(2*x/(ln(4/3*x^2)+x))^3+(-10*x^6*ln(4/3*x^2)-10*x^7)*ln(2*x/(ln(4/3*x^2)+x))^2+(5*x^7*ln(4/3*x^2)+5*x^8)*ln(2*x/(ln(4/3*x^2)+x))-x^8*ln(4/3*x^2)-x^9),x)","\[\int \frac{\left(2 x \,{\mathrm e}^{5} \ln \left(\frac{4 x^{2}}{3}\right)+2 x^{2} {\mathrm e}^{5}\right) \ln \left(\frac{2 x}{\ln \left(\frac{4 x^{2}}{3}\right)+x}\right)^{3}+\left(\left(-10 x^{2}+4 x \right) {\mathrm e}^{5} \ln \left(\frac{4 x^{2}}{3}\right)+\left(-10 x^{3}-8 x \right) {\mathrm e}^{5}\right) \ln \left(\frac{2 x}{\ln \left(\frac{4 x^{2}}{3}\right)+x}\right)^{2}+\left(\left(-2 \,{\mathrm e}^{10}+\left(14 x^{3}-8 x^{2}\right) {\mathrm e}^{5}\right) \ln \left(\frac{4 x^{2}}{3}\right)-2 x \,{\mathrm e}^{10}+\left(14 x^{4}+16 x^{2}\right) {\mathrm e}^{5}\right) \ln \left(\frac{2 x}{\ln \left(\frac{4 x^{2}}{3}\right)+x}\right)+\left(\left(6 x -4\right) {\mathrm e}^{10}+\left(-6 x^{4}+4 x^{3}\right) {\mathrm e}^{5}\right) \ln \left(\frac{4 x^{2}}{3}\right)+\left(6 x^{2}+8\right) {\mathrm e}^{10}+\left(-6 x^{5}-8 x^{3}\right) {\mathrm e}^{5}}{\left(x^{3} \ln \left(\frac{4 x^{2}}{3}\right)+x^{4}\right) \ln \left(\frac{2 x}{\ln \left(\frac{4 x^{2}}{3}\right)+x}\right)^{5}+\left(-5 x^{4} \ln \left(\frac{4 x^{2}}{3}\right)-5 x^{5}\right) \ln \left(\frac{2 x}{\ln \left(\frac{4 x^{2}}{3}\right)+x}\right)^{4}+\left(10 x^{5} \ln \left(\frac{4 x^{2}}{3}\right)+10 x^{6}\right) \ln \left(\frac{2 x}{\ln \left(\frac{4 x^{2}}{3}\right)+x}\right)^{3}+\left(-10 x^{6} \ln \left(\frac{4 x^{2}}{3}\right)-10 x^{7}\right) \ln \left(\frac{2 x}{\ln \left(\frac{4 x^{2}}{3}\right)+x}\right)^{2}+\left(5 x^{7} \ln \left(\frac{4 x^{2}}{3}\right)+5 x^{8}\right) \ln \left(\frac{2 x}{\ln \left(\frac{4 x^{2}}{3}\right)+x}\right)-x^{8} \ln \left(\frac{4 x^{2}}{3}\right)-x^{9}}\, dx\]"," ",0,"int(((2*x*exp(5)*ln(4/3*x^2)+2*x^2*exp(5))*ln(2*x/(ln(4/3*x^2)+x))^3+((-10*x^2+4*x)*exp(5)*ln(4/3*x^2)+(-10*x^3-8*x)*exp(5))*ln(2*x/(ln(4/3*x^2)+x))^2+((-2*exp(5)^2+(14*x^3-8*x^2)*exp(5))*ln(4/3*x^2)-2*x*exp(5)^2+(14*x^4+16*x^2)*exp(5))*ln(2*x/(ln(4/3*x^2)+x))+((6*x-4)*exp(5)^2+(-6*x^4+4*x^3)*exp(5))*ln(4/3*x^2)+(6*x^2+8)*exp(5)^2+(-6*x^5-8*x^3)*exp(5))/((x^3*ln(4/3*x^2)+x^4)*ln(2*x/(ln(4/3*x^2)+x))^5+(-5*x^4*ln(4/3*x^2)-5*x^5)*ln(2*x/(ln(4/3*x^2)+x))^4+(10*x^5*ln(4/3*x^2)+10*x^6)*ln(2*x/(ln(4/3*x^2)+x))^3+(-10*x^6*ln(4/3*x^2)-10*x^7)*ln(2*x/(ln(4/3*x^2)+x))^2+(5*x^7*ln(4/3*x^2)+5*x^8)*ln(2*x/(ln(4/3*x^2)+x))-x^8*ln(4/3*x^2)-x^9),x)","F"
882,1,58,25,0.063000," ","int(((exp(x)-5)*ln(x)^4+(20*exp(x)*x^2-100*x^2-15)*ln(x)^2+30*ln(x)+100*exp(x)*x^4-500*x^4+150*x^2)/((exp(x)-5*x+5)*ln(x)^4+(20*exp(x)*x^2-100*x^3+100*x^2-15*x)*ln(x)^2+100*exp(x)*x^4-500*x^5+500*x^4-150*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{x}-5 x +5\right)+\ln \left(\ln \left(x \right)^{2}+\frac{5 x \left(10 x^{2}-2 \,{\mathrm e}^{x} x -10 x +3\right)}{5 x -{\mathrm e}^{x}-5}\right)-\ln \left(10 x^{2}+\ln \left(x \right)^{2}\right)$&$58$\\ \hline \end{longtable}"," ",0,"ln(exp(x)-5*x+5)+ln(ln(x)^2+5*x*(10*x^2-2*exp(x)*x-10*x+3)/(5*x-exp(x)-5))-ln(10*x^2+ln(x)^2)","B"
883,1,265,19,0.161000," ","int(((5*ln(x^2)*ln(1/18*x^4)+20*ln(x^2))*ln(ln(x^2))*ln(ln(ln(x^2)))-5*ln(x^2)*ln(ln(x^2))+10*ln(1/18*x^4))/ln(x^2)/ln(ln(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(20 x \ln \left(x \right)+\frac{5 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}}{2}-\frac{5 i \pi  x \mathrm{csgn}\left(i x^{4}\right)^{3}}{2}-\frac{5 i \pi  x \mathrm{csgn}\left(i x^{3}\right)^{3}}{2}-\frac{5 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-\frac{5 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)}{2}-\frac{5 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}+5 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\frac{5 i \pi  x \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}}{2}+\frac{5 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}}{2}+\frac{5 i \pi  x \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}}{2}-\frac{5 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)}{2}-5 x \ln \left(2\right)-10 x \ln \left(3\right)\right) \ln \left(\ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)\right)-5 x$&$265$\\ \hline \end{longtable}"," ",0,"(20*x*ln(x)+5/2*I*Pi*x*csgn(I*x)*csgn(I*x^4)^2-5/2*I*Pi*x*csgn(I*x^4)^3-5/2*I*Pi*x*csgn(I*x^3)^3-5/2*I*Pi*x*csgn(I*x^2)^3-5/2*I*Pi*x*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)-5/2*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)+5*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2+5/2*I*Pi*x*csgn(I*x^2)*csgn(I*x^3)^2+5/2*I*Pi*x*csgn(I*x)*csgn(I*x^3)^2+5/2*I*Pi*x*csgn(I*x^3)*csgn(I*x^4)^2-5/2*I*Pi*x*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-5*x*ln(2)-10*x*ln(3))*ln(ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2))-5*x","C"
884,1,27,26,0.065000," ","int(((12*x^2-24*x+120)*exp(2)+6*x^3+45*x^2-102*x+684)/((4*x^3-20*x^2)*exp(2)+x^4+17*x^3-114*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{6}{x}+3 \ln \left(4 \,{\mathrm e}^{2} x +x^{2}-20 \,{\mathrm e}^{2}+17 x -114\right)$&$27$\\ norman&$\frac{6}{x}+3 \ln \left(4 \,{\mathrm e}^{2} x +x^{2}-20 \,{\mathrm e}^{2}+17 x -114\right)$&$27$\\ risch&$\frac{6}{x}+3 \ln \left(x^{2}+\left(4 \,{\mathrm e}^{2}+17\right) x -20 \,{\mathrm e}^{2}-114\right)$&$27$\\ \hline \end{longtable}"," ",0,"6/x+3*ln(4*exp(2)*x+x^2-20*exp(2)+17*x-114)","A"
885,1,20,18,0.031000," ","int((-18*ln(x)+(-18*x+18)*exp(x)-18*x^2-18)/(5*ln(x)^2+(-10*exp(x)-10*x^2-30*x+20)*ln(x)+5*exp(x)^2+(10*x^2+30*x-20)*exp(x)+5*x^4+30*x^3+25*x^2-60*x+20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{18 x}{5 \left(x^{2}+3 x +{\mathrm e}^{x}-\ln \left(x \right)-2\right)}$&$20$\\ \hline \end{longtable}"," ",0,"18/5*x/(x^2+3*x+exp(x)-ln(x)-2)","A"
886,0,0,23,180.000000," ","int(((x^20-20*x^19+160*x^18-640*x^17+1280*x^16-1024*x^15)*exp(4)^5+(-5*x^20+100*x^19-800*x^18+3205*x^17-6480*x^16+5600*x^15-1280*x^14+1280*x^13)*exp(4)^4+(10*x^20-200*x^19+1600*x^18-6420*x^17+13120*x^16-12160*x^15+5130*x^14-5240*x^13+480*x^12-640*x^11)*exp(4)^3+(-10*x^20+200*x^19-1600*x^18+6430*x^17-13280*x^16+13120*x^15-7710*x^14+8040*x^13-1440*x^12+1930*x^11-80*x^10+160*x^9)*exp(4)^2+(5*x^20-100*x^19+800*x^18-3220*x^17+6720*x^16-7040*x^15+5150*x^14-5480*x^13+1440*x^12-1940*x^11+160*x^10-320*x^9+5*x^8-20*x^7-256*x^3+768*x^2)*exp(4)-x^20+20*x^19-160*x^18+645*x^17-1360*x^16+1504*x^15-1290*x^14+1400*x^13-480*x^12+650*x^11-80*x^10+160*x^9-5*x^8+20*x^7+x^5+256*x^3-768*x^2-64)/((x^20-20*x^19+160*x^18-640*x^17+1280*x^16-1024*x^15)*exp(4)^5+(-5*x^20+100*x^19-800*x^18+3205*x^17-6480*x^16+5600*x^15-1280*x^14+1280*x^13)*exp(4)^4+(10*x^20-200*x^19+1600*x^18-6420*x^17+13120*x^16-12160*x^15+5130*x^14-5240*x^13+480*x^12-640*x^11)*exp(4)^3+(-10*x^20+200*x^19-1600*x^18+6430*x^17-13280*x^16+13120*x^15-7710*x^14+8040*x^13-1440*x^12+1930*x^11-80*x^10+160*x^9)*exp(4)^2+(5*x^20-100*x^19+800*x^18-3220*x^17+6720*x^16-7040*x^15+5150*x^14-5480*x^13+1440*x^12-1940*x^11+160*x^10-320*x^9+5*x^8-20*x^7)*exp(4)-x^20+20*x^19-160*x^18+645*x^17-1360*x^16+1504*x^15-1290*x^14+1400*x^13-480*x^12+650*x^11-80*x^10+160*x^9-5*x^8+20*x^7+x^5),x)","\[\int \frac{\left(x^{20}-20 x^{19}+160 x^{18}-640 x^{17}+1280 x^{16}-1024 x^{15}\right) {\mathrm e}^{20}+\left(-5 x^{20}+100 x^{19}-800 x^{18}+3205 x^{17}-6480 x^{16}+5600 x^{15}-1280 x^{14}+1280 x^{13}\right) {\mathrm e}^{16}+\left(10 x^{20}-200 x^{19}+1600 x^{18}-6420 x^{17}+13120 x^{16}-12160 x^{15}+5130 x^{14}-5240 x^{13}+480 x^{12}-640 x^{11}\right) {\mathrm e}^{12}+\left(-10 x^{20}+200 x^{19}-1600 x^{18}+6430 x^{17}-13280 x^{16}+13120 x^{15}-7710 x^{14}+8040 x^{13}-1440 x^{12}+1930 x^{11}-80 x^{10}+160 x^{9}\right) {\mathrm e}^{8}+\left(5 x^{20}-100 x^{19}+800 x^{18}-3220 x^{17}+6720 x^{16}-7040 x^{15}+5150 x^{14}-5480 x^{13}+1440 x^{12}-1940 x^{11}+160 x^{10}-320 x^{9}+5 x^{8}-20 x^{7}-256 x^{3}+768 x^{2}\right) {\mathrm e}^{4}-x^{20}+20 x^{19}-160 x^{18}+645 x^{17}-1360 x^{16}+1504 x^{15}-1290 x^{14}+1400 x^{13}-480 x^{12}+650 x^{11}-80 x^{10}+160 x^{9}-5 x^{8}+20 x^{7}+x^{5}+256 x^{3}-768 x^{2}-64}{\left(x^{20}-20 x^{19}+160 x^{18}-640 x^{17}+1280 x^{16}-1024 x^{15}\right) {\mathrm e}^{20}+\left(-5 x^{20}+100 x^{19}-800 x^{18}+3205 x^{17}-6480 x^{16}+5600 x^{15}-1280 x^{14}+1280 x^{13}\right) {\mathrm e}^{16}+\left(10 x^{20}-200 x^{19}+1600 x^{18}-6420 x^{17}+13120 x^{16}-12160 x^{15}+5130 x^{14}-5240 x^{13}+480 x^{12}-640 x^{11}\right) {\mathrm e}^{12}+\left(-10 x^{20}+200 x^{19}-1600 x^{18}+6430 x^{17}-13280 x^{16}+13120 x^{15}-7710 x^{14}+8040 x^{13}-1440 x^{12}+1930 x^{11}-80 x^{10}+160 x^{9}\right) {\mathrm e}^{8}+\left(5 x^{20}-100 x^{19}+800 x^{18}-3220 x^{17}+6720 x^{16}-7040 x^{15}+5150 x^{14}-5480 x^{13}+1440 x^{12}-1940 x^{11}+160 x^{10}-320 x^{9}+5 x^{8}-20 x^{7}\right) {\mathrm e}^{4}-x^{20}+20 x^{19}-160 x^{18}+645 x^{17}-1360 x^{16}+1504 x^{15}-1290 x^{14}+1400 x^{13}-480 x^{12}+650 x^{11}-80 x^{10}+160 x^{9}-5 x^{8}+20 x^{7}+x^{5}}\, dx\]"," ",0,"int(((x^20-20*x^19+160*x^18-640*x^17+1280*x^16-1024*x^15)*exp(4)^5+(-5*x^20+100*x^19-800*x^18+3205*x^17-6480*x^16+5600*x^15-1280*x^14+1280*x^13)*exp(4)^4+(10*x^20-200*x^19+1600*x^18-6420*x^17+13120*x^16-12160*x^15+5130*x^14-5240*x^13+480*x^12-640*x^11)*exp(4)^3+(-10*x^20+200*x^19-1600*x^18+6430*x^17-13280*x^16+13120*x^15-7710*x^14+8040*x^13-1440*x^12+1930*x^11-80*x^10+160*x^9)*exp(4)^2+(5*x^20-100*x^19+800*x^18-3220*x^17+6720*x^16-7040*x^15+5150*x^14-5480*x^13+1440*x^12-1940*x^11+160*x^10-320*x^9+5*x^8-20*x^7-256*x^3+768*x^2)*exp(4)-x^20+20*x^19-160*x^18+645*x^17-1360*x^16+1504*x^15-1290*x^14+1400*x^13-480*x^12+650*x^11-80*x^10+160*x^9-5*x^8+20*x^7+x^5+256*x^3-768*x^2-64)/((x^20-20*x^19+160*x^18-640*x^17+1280*x^16-1024*x^15)*exp(4)^5+(-5*x^20+100*x^19-800*x^18+3205*x^17-6480*x^16+5600*x^15-1280*x^14+1280*x^13)*exp(4)^4+(10*x^20-200*x^19+1600*x^18-6420*x^17+13120*x^16-12160*x^15+5130*x^14-5240*x^13+480*x^12-640*x^11)*exp(4)^3+(-10*x^20+200*x^19-1600*x^18+6430*x^17-13280*x^16+13120*x^15-7710*x^14+8040*x^13-1440*x^12+1930*x^11-80*x^10+160*x^9)*exp(4)^2+(5*x^20-100*x^19+800*x^18-3220*x^17+6720*x^16-7040*x^15+5150*x^14-5480*x^13+1440*x^12-1940*x^11+160*x^10-320*x^9+5*x^8-20*x^7)*exp(4)-x^20+20*x^19-160*x^18+645*x^17-1360*x^16+1504*x^15-1290*x^14+1400*x^13-480*x^12+650*x^11-80*x^10+160*x^9-5*x^8+20*x^7+x^5),x)","F"
887,1,33,24,0.040000," ","int(((-6*x^2-6*x-3)*exp(x)^2*exp(x^2+4)+(12*x^2+24*x+6)*exp(x)^2)/(x*exp(x)^2*exp(x^2+4)+(-2*x^2-2*x)*exp(x)^2+4)/ln(x*exp(x)^2*exp(x^2+4)+(-2*x^2-2*x)*exp(x)^2+4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{\ln \left(x \,{\mathrm e}^{x^{2}+2 x +4}+\left(-2 x^{2}-2 x \right) {\mathrm e}^{2 x}+4\right)}$&$33$\\ \hline \end{longtable}"," ",0,"3/ln(x*exp(x^2+2*x+4)+(-2*x^2-2*x)*exp(2*x)+4)","A"
888,1,26,25,0.204000," ","int((((2*ln(2)+2*x+12)*exp(x)^2+2*(-2*ln(2)-2*x-12)*ln(5)+ln(2)+x+6)*ln(ln(2)+x+6)^2-3)/(2*ln(2)+2*x+12)/ln(ln(2)+x+6)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3}{2 \ln \left(\ln \left(2\right)+x +6\right)}+\frac{{\mathrm e}^{2 x}}{2}+\frac{x}{2}-2 x \ln \left(5\right)$&$26$\\ risch&$\frac{3}{2 \ln \left(\ln \left(2\right)+x +6\right)}+\frac{{\mathrm e}^{2 x}}{2}+\frac{x}{2}-2 x \ln \left(5\right)$&$26$\\ norman&$\frac{\frac{3}{2}+\left(-2 \ln \left(5\right)+\frac{1}{2}\right) x \ln \left(\ln \left(2\right)+x +6\right)+\frac{{\mathrm e}^{2 x} \ln \left(\ln \left(2\right)+x +6\right)}{2}}{\ln \left(\ln \left(2\right)+x +6\right)}$&$38$\\ \hline \end{longtable}"," ",0,"3/2/ln(ln(2)+x+6)+1/2*exp(x)^2+1/2*x-2*x*ln(5)","A"
889,1,24,22,0.038000," ","int(((-200*x^2-x)*ln(x)^3+ln(x)^2+(200*x^3+x^2-x)*ln(x)+x)/(x*ln(x)^3-x^2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -100 x^{2}-\ln \left(\ln \left(x \right)\right)+\ln \left(-\ln \left(x \right)^{2}+x \right)$&$24$\\ risch&$-100 x^{2}-x -\ln \left(\ln \left(x \right)\right)+\ln \left(\ln \left(x \right)^{2}-x \right)$&$24$\\ \hline \end{longtable}"," ",0,"-x-100*x^2-ln(ln(x))+ln(-ln(x)^2+x)","A"
890,1,87,37,0.133000," ","int(((x^4-8*x^2+16)*ln(x)^4+((-4*x^4+32*x^2-64)*exp(4)+4*x^5-32*x^3+64*x)*ln(x)^3+((6*x^4-48*x^2+96)*exp(4)^2+(-12*x^5+96*x^3-192*x)*exp(4)+6*x^6+2*x^5-46*x^4-16*x^3+84*x^2+32*x+16)*ln(x)^2+((-4*x^4+32*x^2-64)*exp(4)^3+(12*x^5-96*x^3+192*x)*exp(4)^2+(-12*x^6-4*x^5+92*x^4+32*x^3-168*x^2-64*x-32)*exp(4)+4*x^7+2*x^6-30*x^5-16*x^4+56*x^3+32*x^2)*ln(x)+(x^4-8*x^2+16)*exp(4)^4+(-4*x^5+32*x^3-64*x)*exp(4)^3+(6*x^6+2*x^5-46*x^4-16*x^3+84*x^2+32*x+16)*exp(4)^2+(-4*x^7-2*x^6+30*x^5+16*x^4-56*x^3-32*x^2)*exp(4)+x^8-8*x^6+2*x^5+21*x^4-8*x^3-20*x^2+16*x+4)/((x^4-8*x^2+16)*ln(x)^4+((-4*x^4+32*x^2-64)*exp(4)+4*x^5-32*x^3+64*x)*ln(x)^3+((6*x^4-48*x^2+96)*exp(4)^2+(-12*x^5+96*x^3-192*x)*exp(4)+6*x^6-46*x^4+84*x^2+16)*ln(x)^2+((-4*x^4+32*x^2-64)*exp(4)^3+(12*x^5-96*x^3+192*x)*exp(4)^2+(-12*x^6+92*x^4-168*x^2-32)*exp(4)+4*x^7-28*x^5+40*x^3+32*x)*ln(x)+(x^4-8*x^2+16)*exp(4)^4+(-4*x^5+32*x^3-64*x)*exp(4)^3+(6*x^6-46*x^4+84*x^2+16)*exp(4)^2+(-4*x^7+28*x^5-40*x^3-32*x)*exp(4)+x^8-6*x^6+5*x^4+12*x^2+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x^{2} \left(x^{2}-4\right)}{x^{2} \ln \left(x \right)^{2}-2 x^{2} {\mathrm e}^{4} \ln \left(x \right)+2 x^{3} \ln \left(x \right)+x^{2} {\mathrm e}^{8}-2 x^{3} {\mathrm e}^{4}+x^{4}-4 \ln \left(x \right)^{2}+8 \,{\mathrm e}^{4} \ln \left(x \right)-8 x \ln \left(x \right)-4 \,{\mathrm e}^{8}+8 x \,{\mathrm e}^{4}-3 x^{2}-2}$&$87$\\ \hline \end{longtable}"," ",0,"x+x^2*(x^2-4)/(x^2*ln(x)^2-2*x^2*exp(4)*ln(x)+2*x^3*ln(x)+x^2*exp(8)-2*x^3*exp(4)+x^4-4*ln(x)^2+8*exp(4)*ln(x)-8*x*ln(x)-4*exp(8)+8*x*exp(4)-3*x^2-2)","B"
891,1,196,22,0.372000," ","int(((-x*ln(x)^2-x^3)*ln((ln(x)^2+x^2)/x^2)^2+((4*x+1)*ln(x)^2+(-4*x-1)*ln(x))*ln((ln(x)^2+x^2)/x^2))*exp(1/4*(-4*x-1)*ln((ln(x)^2+x^2)/x^2)^2)/(x*ln(x)^2+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{\left(4 x +1\right) \left(-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)^{2}+x^{2}\right)}{x^{2}}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)^{2}+x^{2}\right)}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)^{2}+x^{2}\right)}{x^{2}}\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)^{2}+x^{2}\right)\right)+i \pi  \,\mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)^{2}+x^{2}\right)}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)^{2}+x^{2}\right)\right)+4 \ln \left(x \right)-2 \ln \left(\ln \left(x \right)^{2}+x^{2}\right)\right)^{2}}{16}}$&$196$\\ \hline \end{longtable}"," ",0,"exp(-1/16*(4*x+1)*(-I*Pi*csgn(I*x^2)^3+2*I*Pi*csgn(I*x^2)^2*csgn(I*x)-I*Pi*csgn(I*x^2)*csgn(I*x)^2+I*Pi*csgn(I/x^2*(ln(x)^2+x^2))^3-I*Pi*csgn(I/x^2*(ln(x)^2+x^2))^2*csgn(I/x^2)-I*Pi*csgn(I/x^2*(ln(x)^2+x^2))^2*csgn(I*(ln(x)^2+x^2))+I*Pi*csgn(I/x^2*(ln(x)^2+x^2))*csgn(I/x^2)*csgn(I*(ln(x)^2+x^2))+4*ln(x)-2*ln(ln(x)^2+x^2))^2)","C"
892,1,25,11,0.033000," ","int(2*exp(x)^2+(-2*x^2-4*x-6)*exp(x)+4*x^3+12*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \,{\mathrm e}^{x} x^{2}-6 \,{\mathrm e}^{x}+6 x^{2}+x^{4}+{\mathrm e}^{2 x}$&$25$\\ norman&$-2 \,{\mathrm e}^{x} x^{2}-6 \,{\mathrm e}^{x}+6 x^{2}+x^{4}+{\mathrm e}^{2 x}$&$25$\\ risch&$-2 \,{\mathrm e}^{x} x^{2}-6 \,{\mathrm e}^{x}+6 x^{2}+x^{4}+{\mathrm e}^{2 x}$&$25$\\ \hline \end{longtable}"," ",0,"-2*exp(x)*x^2-6*exp(x)+6*x^2+x^4+exp(x)^2","B"
893,1,2558,30,4.350000," ","int((((-2*x^2-11*x-12)*exp(x)+10*x^2+31*x-36)*ln(x^2+4*x)+(3*x^3+12*x^2)*exp(x)^2+(-12*x^4-30*x^3+72*x^2+4*x+8)*exp(x)+12*x^5+12*x^4-117*x^3+100*x^2-4*x+24)/(((x^2+4*x)*exp(x)-2*x^3-5*x^2+12*x)*ln(x^2+4*x)+(3*x^4+12*x^3)*exp(x)^2+(-12*x^5-30*x^4+72*x^3)*exp(x)+12*x^6+12*x^5-117*x^4+108*x^3)/ln((ln(x^2+4*x)^2+(6*exp(x)*x^2-12*x^3+18*x^2)*ln(x^2+4*x)+9*exp(x)^2*x^4+(-36*x^5+54*x^4)*exp(x)+36*x^6-108*x^5+81*x^4)/(exp(x)^2*x^3+(-4*x^4+6*x^3)*exp(x)+4*x^5-12*x^4+9*x^3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2558$\\ \hline \end{longtable}"," ",0,"ln(ln(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))+1/4*I*(2*Pi+6*I*ln(x)+8*I*ln(2)+4*I*ln(x-1/2*exp(x)-3/2)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2-2*Pi*csgn(I/x^3/(-x+1/2*exp(x)+3/2)^2*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)^2-Pi*csgn(I*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)^3+Pi*csgn(I*(-x+1/2*exp(x)+3/2)^2)^3-Pi*csgn(I/(-x+1/2*exp(x)+3/2)^2*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)^3+Pi*csgn(I*x^3)^3-Pi*csgn(I*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x)))^2*csgn(I*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)+2*Pi*csgn(I*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x)))*csgn(I*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)^2-Pi*csgn(I*x)*csgn(I*x^3)^2-Pi*csgn(I*x^2)*csgn(I*x^3)^2+Pi*csgn(I/x^3)*csgn(I/x^3/(-x+1/2*exp(x)+3/2)^2*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)^2+Pi*csgn(I/(-x+1/2*exp(x)+3/2)^2*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)*csgn(I/x^3/(-x+1/2*exp(x)+3/2)^2*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)^2+2*Pi*csgn(I*(-x+1/2*exp(x)+3/2))*csgn(I*(-x+1/2*exp(x)+3/2)^2)^2+Pi*csgn(I/(-x+1/2*exp(x)+3/2)^2)*csgn(I/(-x+1/2*exp(x)+3/2)^2*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)^2+Pi*csgn(I*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)*csgn(I/(-x+1/2*exp(x)+3/2)^2*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)^2-Pi*csgn(I/x^3)*csgn(I/(-x+1/2*exp(x)+3/2)^2*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)*csgn(I/x^3/(-x+1/2*exp(x)+3/2)^2*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)-Pi*csgn(I/(-x+1/2*exp(x)+3/2)^2)*csgn(I*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)*csgn(I/(-x+1/2*exp(x)+3/2)^2*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+Pi*csgn(I/x^3/(-x+1/2*exp(x)+3/2)^2*(Pi*csgn(I*x)*csgn(I*(4+x))*csgn(I*(4+x)*x)-Pi*csgn(I*x)*csgn(I*(4+x)*x)^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)*x)^2+Pi*csgn(I*(4+x)*x)^3-12*I*x^3+6*I*x^2*exp(x)+18*I*x^2+2*I*ln(x)+2*I*ln(4+x))^2)^3+Pi*csgn(I*(-x+1/2*exp(x)+3/2))^2*csgn(I*(-x+1/2*exp(x)+3/2)^2)))","C"
894,1,17,17,0.047000," ","int((x*ln(3)*exp(x)*ln(x)+(ln(3)-x^3-3*x^2-x)*exp(x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(3\right) {\mathrm e}^{x} \ln \left(x \right)-x \left(x +1\right) {\mathrm e}^{x}$&$17$\\ norman&$\ln \left(3\right) {\mathrm e}^{x} \ln \left(x \right)-{\mathrm e}^{x} x -{\mathrm e}^{x} x^{2}$&$21$\\ \hline \end{longtable}"," ",0,"ln(3)*exp(x)*ln(x)-x*(x+1)*exp(x)","A"
895,1,64,34,0.059000," ","int(1/9*(4*x^2+1)*exp(x^2)^2+1/9*((-4*x^2-2*x-2)*exp(x)-8*x^3-4*x^2-8*x-2)*exp(x^2)+1/9*(2*x+1)*exp(x)^2+1/9*(4*x^2+10*x+2)*exp(x)+4/3*x^2+8/9*x-17/9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{2 x^{2}}}{9}+\frac{\left(-4 x^{2}-2 \,{\mathrm e}^{x} x -2 x \right) {\mathrm e}^{x^{2}}}{9}+\frac{x \,{\mathrm e}^{2 x}}{9}+\frac{\left(4 x^{2}+2 x \right) {\mathrm e}^{x}}{9}+\frac{4 x^{3}}{9}+\frac{4 x^{2}}{9}-\frac{17 x}{9}$&$64$\\ default&$-\frac{17 x}{9}+\frac{4 x^{2}}{9}+\frac{4 x^{3}}{9}+\frac{x \,{\mathrm e}^{2 x}}{9}-\frac{4 x^{2} {\mathrm e}^{x^{2}}}{9}-\frac{2 \,{\mathrm e}^{x^{2}} x}{9}-\frac{2 x \,{\mathrm e}^{x^{2}+x}}{9}+\frac{x \,{\mathrm e}^{2 x^{2}}}{9}+\frac{4 \,{\mathrm e}^{x} x^{2}}{9}+\frac{2 \,{\mathrm e}^{x} x}{9}$&$68$\\ \hline \end{longtable}"," ",0,"1/9*x*exp(2*x^2)+1/9*(-4*x^2-2*exp(x)*x-2*x)*exp(x^2)+1/9*x*exp(2*x)+1/9*(4*x^2+2*x)*exp(x)+4/9*x^3+4/9*x^2-17/9*x","A"
896,1,19,18,0.113000," ","int(-1/3*exp(2)^2*exp(ln(2*ln(2))^2-1/3*exp(2)^2*ln(x)-3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\ln \left(2 \ln \left(2\right)\right)^{2}-\frac{{\mathrm e}^{4} \ln \left(x \right)}{3}-3}$&$19$\\ derivativedivides&${\mathrm e}^{\ln \left(2 \ln \left(2\right)\right)^{2}-\frac{{\mathrm e}^{4} \ln \left(x \right)}{3}-3}$&$19$\\ default&${\mathrm e}^{\ln \left(2 \ln \left(2\right)\right)^{2}-\frac{{\mathrm e}^{4} \ln \left(x \right)}{3}-3}$&$19$\\ norman&${\mathrm e}^{\ln \left(2 \ln \left(2\right)\right)^{2}-\frac{{\mathrm e}^{4} \ln \left(x \right)}{3}-3}$&$19$\\ risch&$x^{-\frac{{\mathrm e}^{4}}{3}} \ln \left(2\right)^{2 \ln \left(2\right)} {\mathrm e}^{\ln \left(2\right)^{2}-3+\ln \left(\ln \left(2\right)\right)^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"exp(ln(2*ln(2))^2-1/3*exp(2)^2*ln(x)-3)","A"
897,1,19,16,0.022000," ","int((10*x^5*ln(x)+5*x^5+x^4-18)*exp((5*x^5*ln(x)+x^4+6)/x^3)*exp(exp((5*x^5*ln(x)+x^4+6)/x^3))/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{5 x^{5} \ln \left(x \right)+x^{4}+6}{x^{3}}}}$&$19$\\ \hline \end{longtable}"," ",0,"exp(exp((5*x^5*ln(x)+x^4+6)/x^3))","A"
898,1,149,20,0.126000," ","int((-5*ln(2)*ln(x)+(-8*x-3)*ln(2))/((5*x*ln(x)+4*x^2-2*x)*ln(-125*x*ln(x)-100*x^2+50*x)^2+(60*x*ln(x)+48*x^2-24*x)*ln(-125*x*ln(x)-100*x^2+50*x)+180*x*ln(x)+144*x^2-72*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i \ln \left(2\right)}{\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}-\frac{1}{2}\right)\right) \mathrm{csgn}\left(i x \left(x +\frac{5 \ln \left(x \right)}{4}-\frac{1}{2}\right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x +\frac{5 \ln \left(x \right)}{4}-\frac{1}{2}\right)\right)^{2}+2 \pi  \mathrm{csgn}\left(i x \left(x +\frac{5 \ln \left(x \right)}{4}-\frac{1}{2}\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}-\frac{1}{2}\right)\right) \mathrm{csgn}\left(i x \left(x +\frac{5 \ln \left(x \right)}{4}-\frac{1}{2}\right)\right)^{2}-\pi  \mathrm{csgn}\left(i x \left(x +\frac{5 \ln \left(x \right)}{4}-\frac{1}{2}\right)\right)^{3}-2 \pi +4 i \ln \left(5\right)+2 i \ln \left(x \right)+2 i \ln \left(x +\frac{5 \ln \left(x \right)}{4}-\frac{1}{2}\right)+12 i}$&$149$\\ \hline \end{longtable}"," ",0,"2*I*ln(2)/(Pi*csgn(I*x)*csgn(I*(x+5/4*ln(x)-1/2))*csgn(I*x*(x+5/4*ln(x)-1/2))-Pi*csgn(I*x)*csgn(I*x*(x+5/4*ln(x)-1/2))^2+2*Pi*csgn(I*x*(x+5/4*ln(x)-1/2))^2-Pi*csgn(I*(x+5/4*ln(x)-1/2))*csgn(I*x*(x+5/4*ln(x)-1/2))^2-Pi*csgn(I*x*(x+5/4*ln(x)-1/2))^3-2*Pi+4*I*ln(5)+2*I*ln(x)+2*I*ln(x+5/4*ln(x)-1/2)+12*I)","C"
899,1,47,34,0.077000," ","int(((((-6*x^2+4*x)*exp(x)-6*x^3+34*x^2-20*x)*ln(exp(x)+x-5)^2+((8*x^4-12*x^3+4*x^2)*exp(x)+8*x^5-52*x^4+64*x^3-20*x^2)*ln(exp(x)+x-5)+(-4*x^5+8*x^4-4*x^3)*exp(x)-4*x^5+8*x^4-4*x^3)*exp((-2*x^2+2*x)/ln(exp(x)+x-5))+(-10*exp(x)-10*x+50)*ln(exp(x)+x-5)^2)/(((x^6-2*x^5+x^4)*exp(x)+x^7-7*x^6+11*x^5-5*x^4)*ln(exp(x)+x-5)^2*exp((-2*x^2+2*x)/ln(exp(x)+x-5))^2+((10*x^4-10*x^3)*exp(x)+10*x^5-60*x^4+50*x^3)*ln(exp(x)+x-5)^2*exp((-2*x^2+2*x)/ln(exp(x)+x-5))+(25*exp(x)*x^2+25*x^3-125*x^2)*ln(exp(x)+x-5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{x \left(x^{2} {\mathrm e}^{-\frac{2 x \left(x -1\right)}{\ln \left({\mathrm e}^{x}+x -5\right)}}-x \,{\mathrm e}^{-\frac{2 x \left(x -1\right)}{\ln \left({\mathrm e}^{x}+x -5\right)}}+5\right)}$&$47$\\ \hline \end{longtable}"," ",0,"2/x/(x^2*exp(-2*x*(x-1)/ln(exp(x)+x-5))-x*exp(-2*x*(x-1)/ln(exp(x)+x-5))+5)","A"
900,1,15,16,0.078000," ","int(1/3*((x*exp(x)*ln(x)+exp(x)-x)*exp(-1/3*exp(x)*ln(x)+1/3*x)+3*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -x^{-\frac{{\mathrm e}^{x}}{3}} {\mathrm e}^{\frac{x}{3}}$&$15$\\ norman&$x -{\mathrm e}^{-\frac{{\mathrm e}^{x} \ln \left(x \right)}{3}+\frac{x}{3}}$&$16$\\ \hline \end{longtable}"," ",0,"x-x^(-1/3*exp(x))*exp(1/3*x)","A"
901,-1,0,19,180.000000," ","maple_input","\text{hanged}"," ",0,"maple_input","F"
902,1,1440,22,0.472000," ","int((((2*x*exp(5)+2*x^2-2*x)*exp(x-3)+10*x*exp(5))*ln(x)+(-2*exp(5)-2*x)*exp(x-3)-10*x*exp(5)-10*x^2)*ln((exp(x-3)+5*x)/(exp(5)+x)/ln(x))/((x*exp(5)+x^2)*exp(x-3)+5*x^2*exp(5)+5*x^3)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-18-2 \ln \left(\ln \left(x \right)\right) \ln \left(5\right)+6 \ln \left(5\right)+\ln \left(\ln \left(x \right)\right)^{2}-2 \ln \left({\mathrm e}^{5}+x \right) \ln \left(5\right)+\left(-2 \ln \left({\mathrm e}^{5}+x \right)+6-2 \ln \left(\ln \left(x \right)\right)\right) \ln \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)+2 \ln \left({\mathrm e}^{x -3}+5 x \right) \ln \left(5\right)+2 \ln \left(\ln \left(x \right)\right) \ln \left({\mathrm e}^{5}+x \right)-i \pi  \ln \left({\mathrm e}^{x -3}+5 x \right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)^{3}+i \pi  \ln \left({\mathrm e}^{5}+x \right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)^{3}+i \pi  \ln \left({\mathrm e}^{5}+x \right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)^{3}+i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)^{3}+i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)^{3}+3 i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)^{2}+3 i \pi  \,\mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)^{2}+3 i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)^{2}+3 i \pi  \,\mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)^{2}-i \pi  \ln \left({\mathrm e}^{x -3}+5 x \right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)^{3}-6 \ln \left({\mathrm e}^{x -3}+5 x \right)-3 i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)^{3}-3 i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)^{3}+\ln \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)^{2}+\ln \left({\mathrm e}^{5}+x \right)^{2}-3 i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)-3 i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)-i \pi  \ln \left({\mathrm e}^{5}+x \right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)^{2}-i \pi  \ln \left({\mathrm e}^{5}+x \right) \mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)^{2}-i \pi  \ln \left({\mathrm e}^{5}+x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)^{2}-i \pi  \ln \left({\mathrm e}^{5}+x \right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)^{2}-i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)^{2}-i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)^{2}-i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)^{2}-i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)^{2}+i \pi  \ln \left({\mathrm e}^{x -3}+5 x \right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)^{2}+i \pi  \ln \left({\mathrm e}^{x -3}+5 x \right) \mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)^{2}+i \pi  \ln \left({\mathrm e}^{x -3}+5 x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)^{2}+i \pi  \ln \left({\mathrm e}^{x -3}+5 x \right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)^{2}+i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)-i \pi  \ln \left({\mathrm e}^{x -3}+5 x \right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)-i \pi  \ln \left({\mathrm e}^{x -3}+5 x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)+i \pi  \ln \left({\mathrm e}^{5}+x \right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)+i \pi  \ln \left({\mathrm e}^{5}+x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{\ln \left(x \right) \left({\mathrm e}^{5}+x \right)}\right)+i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{5}+x}\right) \mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{x -3}}{5}+x \right)}{{\mathrm e}^{5}+x}\right)$&$1440$\\ \hline \end{longtable}"," ",0,"-18-2*ln(ln(x))*ln(5)+6*ln(5)+ln(ln(x))^2-2*ln(exp(5)+x)*ln(5)+(-2*ln(exp(5)+x)+6-2*ln(ln(x)))*ln(1/5*exp(x-3)+x)+2*ln(exp(x-3)+5*x)*ln(5)+2*ln(ln(x))*ln(exp(5)+x)-I*Pi*ln(exp(x-3)+5*x)*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))^3+I*Pi*ln(exp(5)+x)*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))^3+I*Pi*ln(exp(5)+x)*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))^3+I*Pi*ln(ln(x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))^3+I*Pi*ln(ln(x))*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))^3+3*I*Pi*csgn(I/ln(x))*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))^2+3*I*Pi*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))^2+3*I*Pi*csgn(I/(exp(5)+x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))^2+3*I*Pi*csgn(I*(1/5*exp(x-3)+x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))^2-I*Pi*ln(exp(x-3)+5*x)*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))^3-6*ln(exp(x-3)+5*x)-3*I*Pi*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))^3-3*I*Pi*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))^3+I*Pi*ln(ln(x))*csgn(I/ln(x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))-I*Pi*ln(exp(x-3)+5*x)*csgn(I/(exp(5)+x))*csgn(I*(1/5*exp(x-3)+x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))-I*Pi*ln(exp(x-3)+5*x)*csgn(I/ln(x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))+I*Pi*ln(exp(5)+x)*csgn(I/(exp(5)+x))*csgn(I*(1/5*exp(x-3)+x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))+I*Pi*ln(exp(5)+x)*csgn(I/ln(x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))+I*Pi*ln(ln(x))*csgn(I/(exp(5)+x))*csgn(I*(1/5*exp(x-3)+x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))+ln(1/5*exp(x-3)+x)^2+ln(exp(5)+x)^2-3*I*Pi*csgn(I/ln(x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))-3*I*Pi*csgn(I/(exp(5)+x))*csgn(I*(1/5*exp(x-3)+x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))-I*Pi*ln(exp(5)+x)*csgn(I/(exp(5)+x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))^2-I*Pi*ln(exp(5)+x)*csgn(I*(1/5*exp(x-3)+x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))^2-I*Pi*ln(exp(5)+x)*csgn(I/ln(x))*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))^2-I*Pi*ln(exp(5)+x)*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))^2-I*Pi*ln(ln(x))*csgn(I/(exp(5)+x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))^2-I*Pi*ln(ln(x))*csgn(I*(1/5*exp(x-3)+x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))^2-I*Pi*ln(ln(x))*csgn(I/ln(x))*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))^2-I*Pi*ln(ln(x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))^2+I*Pi*ln(exp(x-3)+5*x)*csgn(I/(exp(5)+x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))^2+I*Pi*ln(exp(x-3)+5*x)*csgn(I*(1/5*exp(x-3)+x))*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))^2+I*Pi*ln(exp(x-3)+5*x)*csgn(I/ln(x))*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))^2+I*Pi*ln(exp(x-3)+5*x)*csgn(I*(1/5*exp(x-3)+x)/(exp(5)+x))*csgn(I/ln(x)/(exp(5)+x)*(1/5*exp(x-3)+x))^2","C"
903,1,7,13,0.012000," ","int(exp(2)+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left({\mathrm e}^{2}+3\right) x$&$7$\\ norman&$\left({\mathrm e}^{2}+3\right) x$&$7$\\ risch&${\mathrm e}^{2} x +3 x$&$9$\\ \hline \end{longtable}"," ",0,"(exp(2)+3)*x","A"
904,1,43,26,0.315000," ","int(((5*x^2+125)*exp(3)^2+(70*x^2-500*x+1000)*exp(3)-5*x^4-30*x^3+575*x^2-2010*x+1985)/(x^2*exp(3)^4+(-4*x^3+16*x^2)*exp(3)^3+(6*x^4-48*x^3+96*x^2-2*x)*exp(3)^2+(-4*x^5+48*x^4-192*x^3+260*x^2-16*x)*exp(3)+x^6-16*x^5+96*x^4-258*x^3+272*x^2-32*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x^{2}+15 x -125}{x \,{\mathrm e}^{6}-2 x^{2} {\mathrm e}^{3}+x^{3}+8 x \,{\mathrm e}^{3}-8 x^{2}+16 x -1}$&$43$\\ gosper&$\frac{5 x^{2}+15 x -125}{x \,{\mathrm e}^{6}-2 x^{2} {\mathrm e}^{3}+x^{3}+8 x \,{\mathrm e}^{3}-8 x^{2}+16 x -1}$&$44$\\ norman&$\frac{5 x^{2}+15 x -125}{x \,{\mathrm e}^{6}-2 x^{2} {\mathrm e}^{3}+x^{3}+8 x \,{\mathrm e}^{3}-8 x^{2}+16 x -1}$&$45$\\ default&$\frac{5 \left(\munderset{\textit{\_R} =\RootOf \left(1+\textit{\_Z}^{6}+\left(-4 \,{\mathrm e}^{3}-16\right) \textit{\_Z}^{5}+\left(48 \,{\mathrm e}^{3}+6 \,{\mathrm e}^{6}+96\right) \textit{\_Z}^{4}+\left(-192 \,{\mathrm e}^{3}-4 \,{\mathrm e}^{9}-48 \,{\mathrm e}^{6}-258\right) \textit{\_Z}^{3}+\left({\mathrm e}^{12}+260 \,{\mathrm e}^{3}+16 \,{\mathrm e}^{9}+96 \,{\mathrm e}^{6}+272\right) \textit{\_Z}^{2}+\left(-16 \,{\mathrm e}^{3}-2 \,{\mathrm e}^{6}-32\right) \textit{\_Z} \right)}{\sum}\frac{\left(397-\textit{\_R}^{4}-6 \textit{\_R}^{3}+\left(14 \,{\mathrm e}^{3}+{\mathrm e}^{6}+115\right) \textit{\_R}^{2}+2 \left(-201-50 \,{\mathrm e}^{3}\right) \textit{\_R} +25 \,{\mathrm e}^{6}+200 \,{\mathrm e}^{3}\right) \ln \left(x -\textit{\_R} \right)}{-16+\textit{\_R} \,{\mathrm e}^{12}-6 \textit{\_R}^{2} {\mathrm e}^{9}+12 \textit{\_R}^{3} {\mathrm e}^{6}-10 \textit{\_R}^{4} {\mathrm e}^{3}+3 \textit{\_R}^{5}+16 \textit{\_R} \,{\mathrm e}^{9}-72 \textit{\_R}^{2} {\mathrm e}^{6}+96 \textit{\_R}^{3} {\mathrm e}^{3}-40 \textit{\_R}^{4}+96 \textit{\_R} \,{\mathrm e}^{6}-288 \textit{\_R}^{2} {\mathrm e}^{3}+192 \textit{\_R}^{3}-{\mathrm e}^{6}+260 \textit{\_R} \,{\mathrm e}^{3}-387 \textit{\_R}^{2}-8 \,{\mathrm e}^{3}+272 \textit{\_R}}\right)}{2}$&$230$\\ \hline \end{longtable}"," ",0,"(5*x^2+15*x-125)/(x*exp(6)-2*x^2*exp(3)+x^3+8*x*exp(3)-8*x^2+16*x-1)","A"
905,1,49,27,0.062000," ","int(((3*x^3-3*x^2)*exp(ln(x)^2)^3+(-9*x^4+9*x^3)*exp(ln(x)^2)^2+(-48*ln(x)+9*x^5-9*x^4-12*x-12)*exp(ln(x)^2)-3*x^6+3*x^5+12*x^2+36*x)/(2*x^3*exp(ln(x)^2)^3-6*x^4*exp(ln(x)^2)^2+(6*x^5-8*x)*exp(ln(x)^2)-2*x^6+8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x}{2}-\frac{3 \ln \left(x \right)}{2}+3 \ln \left(-x +{\mathrm e}^{\ln \left(x \right)^{2}}\right)-\frac{3 \ln \left({\mathrm e}^{2 \ln \left(x \right)^{2}}-2 \,{\mathrm e}^{\ln \left(x \right)^{2}} x +\frac{x^{4}-4}{x^{2}}\right)}{2}$&$49$\\ \hline \end{longtable}"," ",0,"3/2*x-3/2*ln(x)+3*ln(-x+exp(ln(x)^2))-3/2*ln(exp(2*ln(x)^2)-2*exp(ln(x)^2)*x+1/x^2*(x^4-4))","A"
906,1,32,19,0.041000," ","int((1944*x^8*exp(2)^2+(-432*x^5-1008*x^4)*exp(2)-112*x-392)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$324 x^{6} {\mathrm e}^{4}-144 x^{3} {\mathrm e}^{2}-504 x^{2} {\mathrm e}^{2}+\frac{112 x +196}{x^{2}}$&$32$\\ default&$324 x^{6} {\mathrm e}^{4}-144 x^{3} {\mathrm e}^{2}-504 x^{2} {\mathrm e}^{2}+\frac{196}{x^{2}}+\frac{112}{x}$&$33$\\ norman&$\frac{196+112 x -504 x^{4} {\mathrm e}^{2}+324 x^{8} {\mathrm e}^{4}-144 \,{\mathrm e}^{2} x^{5}}{x^{2}}$&$33$\\ gosper&$\frac{196+112 x -504 x^{4} {\mathrm e}^{2}+324 x^{8} {\mathrm e}^{4}-144 \,{\mathrm e}^{2} x^{5}}{x^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"324*x^6*exp(4)-144*x^3*exp(2)-504*x^2*exp(2)+(112*x+196)/x^2","A"
907,1,16,26,0.044000," ","int((4*x+4)*exp(1)*exp(x)-12*x^2*exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x \,{\mathrm e} \,{\mathrm e}^{x}-4 x^{3} {\mathrm e}$&$16$\\ norman&$4 x \,{\mathrm e} \,{\mathrm e}^{x}-4 x^{3} {\mathrm e}$&$16$\\ risch&$4 x \,{\mathrm e}^{x +1}-4 x^{3} {\mathrm e}$&$16$\\ \hline \end{longtable}"," ",0,"4*x*exp(1)*exp(x)-4*x^3*exp(1)","A"
908,1,62,26,0.039000," ","int(((-64000*x^2*exp(2)^2+(256000*x^4+192000*x^3-4000*x)*exp(2)-192000*x^6-320000*x^5-128000*x^4+12000*x^3+8000*x^2)*ln(x)-32000*x^2*exp(2)^2+(64000*x^4+64000*x^3-4000*x)*exp(2)-32000*x^6-64000*x^5-32000*x^4+4000*x^3+4000*x^2+x-125)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-32000 x^{6}+64000 x^{4} {\mathrm e}^{2}-64000 x^{5}-32000 x^{2} {\mathrm e}^{4}+64000 x^{3} {\mathrm e}^{2}-32000 x^{4}+4000 x^{3}-4000 \,{\mathrm e}^{2} x +4000 x^{2}\right) \ln \left(x \right)+x -125 \ln \left(x \right)$&$62$\\ norman&$x -125 \ln \left(x \right)+\left(-32000 \,{\mathrm e}^{4}+4000\right) x^{2} \ln \left(x \right)+\left(64000 \,{\mathrm e}^{2}-32000\right) x^{4} \ln \left(x \right)+\left(64000 \,{\mathrm e}^{2}+4000\right) x^{3} \ln \left(x \right)-64000 x^{5} \ln \left(x \right)-32000 x^{6} \ln \left(x \right)-4000 x \,{\mathrm e}^{2} \ln \left(x \right)$&$66$\\ default&$x -4000 \,{\mathrm e}^{2} x +4000 x^{2} \ln \left(x \right)-125 \ln \left(x \right)+4000 x^{3} \ln \left(x \right)-32000 x^{6} \ln \left(x \right)-64000 x^{5} \ln \left(x \right)+\frac{64000 x^{3} {\mathrm e}^{2}}{3}-16000 x^{2} {\mathrm e}^{4}-32000 x^{4} \ln \left(x \right)+16000 x^{4} {\mathrm e}^{2}-4000 \,{\mathrm e}^{2} \left(x \ln \left(x \right)-x \right)+192000 \,{\mathrm e}^{2} \left(\frac{x^{3} \ln \left(x \right)}{3}-\frac{x^{3}}{9}\right)+256000 \,{\mathrm e}^{2} \left(\frac{x^{4} \ln \left(x \right)}{4}-\frac{x^{4}}{16}\right)-64000 \,{\mathrm e}^{4} \left(\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}\right)$&$135$\\ \hline \end{longtable}"," ",0,"(-32000*x^6+64000*x^4*exp(2)-64000*x^5-32000*x^2*exp(4)+64000*x^3*exp(2)-32000*x^4+4000*x^3-4000*exp(2)*x+4000*x^2)*ln(x)+x-125*ln(x)","B"
909,1,55,31,0.175000," ","int((((-8*x^3+52*x^2-104*x+64)*exp(5)+8*x^3-52*x^2+104*x-64)*exp(x)^2+3*exp(5)-x^2+6*x-12)/(x^2-6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(16-16 \,{\mathrm e}^{5}\right) {\mathrm e}^{2 x}+\left(-16+16 \,{\mathrm e}^{5}\right) x \,{\mathrm e}^{2 x}+\left(-4 \,{\mathrm e}^{5}+4\right) x^{2} {\mathrm e}^{2 x}-x^{2}+12-3 \,{\mathrm e}^{5}}{x -3}$&$55$\\ risch&$-x +\frac{3}{x -3}-\frac{3 \,{\mathrm e}^{5}}{x -3}-\frac{4 \left(x^{2} {\mathrm e}^{5}-4 x \,{\mathrm e}^{5}-x^{2}+4 \,{\mathrm e}^{5}+4 x -4\right) {\mathrm e}^{2 x}}{x -3}$&$57$\\ default&$\frac{3}{x -3}-x -\frac{3 \,{\mathrm e}^{5}}{x -3}+\frac{4 \,{\mathrm e}^{2 x}}{x -3}+64 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{2 x}}{x -3}-2 \,{\mathrm e}^{6} \expIntegralEi \left(1, 6-2 x \right)\right)-4 \,{\mathrm e}^{2 x}+4 x \,{\mathrm e}^{2 x}-104 \,{\mathrm e}^{5} \left(-7 \,{\mathrm e}^{6} \expIntegralEi \left(1, 6-2 x \right)-\frac{3 \,{\mathrm e}^{2 x}}{x -3}\right)+52 \,{\mathrm e}^{5} \left(\frac{{\mathrm e}^{2 x}}{2}-24 \,{\mathrm e}^{6} \expIntegralEi \left(1, 6-2 x \right)-\frac{9 \,{\mathrm e}^{2 x}}{x -3}\right)-8 \,{\mathrm e}^{5} \left(\frac{x \,{\mathrm e}^{2 x}}{2}+\frac{11 \,{\mathrm e}^{2 x}}{4}-81 \,{\mathrm e}^{6} \expIntegralEi \left(1, 6-2 x \right)-\frac{27 \,{\mathrm e}^{2 x}}{x -3}\right)$&$172$\\ \hline \end{longtable}"," ",0,"((16-16*exp(5))*exp(x)^2+(-16+16*exp(5))*x*exp(x)^2+(-4*exp(5)+4)*x^2*exp(x)^2-x^2+12-3*exp(5))/(x-3)","A"
910,1,27,29,0.179000," ","int((-2*x*exp(x)^2+(4*x*exp(1)-8*x^3+20*x^2-3*x+3)*exp(x)-2*x*exp(1)^2+(8*x^3-20*x^2-3)*exp(1)-8*x^5+40*x^4-50*x^3-6*x^2)/(exp(x)^2+(-2*exp(1)+4*x^2-10*x)*exp(x)+exp(1)^2+(-4*x^2+10*x)*exp(1)+4*x^4-20*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-\frac{3 x}{-2 x^{2}+{\mathrm e}-{\mathrm e}^{x}+5 x}$&$27$\\ norman&$\frac{\frac{{\mathrm e} \,{\mathrm e}^{x}}{2}+\left(-3-\frac{5 \,{\mathrm e}}{2}\right) x +{\mathrm e}^{x} x^{2}-5 x^{3}+2 x^{4}-\frac{{\mathrm e}^{2}}{2}}{-2 x^{2}+{\mathrm e}-{\mathrm e}^{x}+5 x}$&$56$\\ \hline \end{longtable}"," ",0,"-x^2-3*x/(-2*x^2+exp(1)-exp(x)+5*x)","A"
911,1,10,20,0.022000," ","int((ln(x)-2)/(ln(x)^2+(2*x-2)*ln(x)+x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{-1+\ln \left(x \right)+x}$&$10$\\ risch&$\frac{x}{-1+\ln \left(x \right)+x}$&$10$\\ \hline \end{longtable}"," ",0,"x/(-1+ln(x)+x)","A"
912,1,14,11,0.158000," ","int(((-x^2+3925*x)*ln(x)+(5*x-19600)*ln(x-3920)-x^2+3920*x)/(5*x^2-19600*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right) \ln \left(x -3920\right)-\frac{x \ln \left(x \right)}{5}$&$14$\\ risch&$\ln \left(x \right) \ln \left(x -3920\right)-\frac{x \ln \left(x \right)}{5}$&$14$\\ default&$\ln \left(x -3920\right) \ln \left(\frac{x}{3920}\right)-\frac{x \ln \left(x \right)}{5}+\left(\ln \left(x \right)-\ln \left(\frac{x}{3920}\right)\right) \ln \left(-\frac{x}{3920}+1\right)$&$32$\\ \hline \end{longtable}"," ",0,"ln(x)*ln(x-3920)-1/5*x*ln(x)","A"
913,1,36,27,0.053000," ","int((((25*x^4-40*x^2+16)*exp(x)+5*x^4-12*x^2)*ln(x)^2+((150*x^5-120*x^3)*exp(x)+30*x^5-48*x^3)*ln(x)+225*x^6*exp(x)+45*x^6+12*x^3)/((25*x^4-40*x^2+16)*ln(x)^2+(150*x^5-120*x^3)*ln(x)+225*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{3} \ln \left(x \right)+3 x^{4}}{5 x^{2} \ln \left(x \right)+15 x^{3}-4 \ln \left(x \right)}+{\mathrm e}^{x}$&$36$\\ risch&$\frac{x^{3}+5 \,{\mathrm e}^{x} x^{2}-4 \,{\mathrm e}^{x}}{5 x^{2}-4}-\frac{12 x^{4}}{\left(5 x^{2}-4\right) \left(5 x^{2} \ln \left(x \right)+15 x^{3}-4 \ln \left(x \right)\right)}$&$60$\\ \hline \end{longtable}"," ",0,"(x^3*ln(x)+3*x^4)/(5*x^2*ln(x)+15*x^3-4*ln(x))+exp(x)","A"
914,1,41,35,0.164000," ","int((((-5*x+5)*exp(4)+x^3)*ln(x)-x^2+x)/((x^3-x^2)*exp(2)-2*x^3+2*x^2)/exp(4)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-4} \left(\ln \left(x -1\right) x +5 \,{\mathrm e}^{4}+x^{2}\right)}{\left({\mathrm e}^{2}-2\right) x}-\frac{{\mathrm e}^{-4} \ln \left(\ln \left(x \right)\right)}{{\mathrm e}^{2}-2}$&$41$\\ default&${\mathrm e}^{-4} \left(-\frac{\ln \left(\ln \left(x \right)\right)}{{\mathrm e}^{2}-2}+\frac{x}{{\mathrm e}^{2}-2}+\frac{\ln \left(x -1\right)}{{\mathrm e}^{2}-2}+\frac{5 \,{\mathrm e}^{4}}{\left({\mathrm e}^{2}-2\right) x}\right)$&$50$\\ norman&$\frac{\frac{{\mathrm e}^{-4} x^{2}}{{\mathrm e}^{2}-2}+\frac{5}{{\mathrm e}^{2}-2}}{x}+\frac{{\mathrm e}^{-4} \ln \left(x -1\right)}{{\mathrm e}^{2}-2}-\frac{{\mathrm e}^{-4} \ln \left(\ln \left(x \right)\right)}{{\mathrm e}^{2}-2}$&$59$\\ \hline \end{longtable}"," ",0,"exp(-4)*(ln(x-1)*x+5*exp(4)+x^2)/(exp(2)-2)/x-exp(-4)/(exp(2)-2)*ln(ln(x))","A"
915,0,0,23,0.145000," ","int(((-exp(1)^4+2*x*exp(1)^2-x^2-x+16)*ln(x*exp(1)^4-2*x^2*exp(1)^2+x^3+x^2-16*x)*ln(ln(x*exp(1)^4-2*x^2*exp(1)^2+x^3+x^2-16*x)^2)+2*exp(1)^4-8*x*exp(1)^2+6*x^2+4*x-32)/(x^2*exp(1)^4-2*x^3*exp(1)^2+x^4+x^3-16*x^2)/ln(x*exp(1)^4-2*x^2*exp(1)^2+x^3+x^2-16*x),x)","\[\int \frac{\left(-{\mathrm e}^{4}+2 \,{\mathrm e}^{2} x -x^{2}-x +16\right) \ln \left(x \,{\mathrm e}^{4}-2 x^{2} {\mathrm e}^{2}+x^{3}+x^{2}-16 x \right) \ln \left(\ln \left(x \,{\mathrm e}^{4}-2 x^{2} {\mathrm e}^{2}+x^{3}+x^{2}-16 x \right)^{2}\right)+2 \,{\mathrm e}^{4}-8 \,{\mathrm e}^{2} x +6 x^{2}+4 x -32}{\left(x^{2} {\mathrm e}^{4}-2 x^{3} {\mathrm e}^{2}+x^{4}+x^{3}-16 x^{2}\right) \ln \left(x \,{\mathrm e}^{4}-2 x^{2} {\mathrm e}^{2}+x^{3}+x^{2}-16 x \right)}\, dx\]"," ",0,"int(((-exp(1)^4+2*x*exp(1)^2-x^2-x+16)*ln(x*exp(1)^4-2*x^2*exp(1)^2+x^3+x^2-16*x)*ln(ln(x*exp(1)^4-2*x^2*exp(1)^2+x^3+x^2-16*x)^2)+2*exp(1)^4-8*x*exp(1)^2+6*x^2+4*x-32)/(x^2*exp(1)^4-2*x^3*exp(1)^2+x^4+x^3-16*x^2)/ln(x*exp(1)^4-2*x^2*exp(1)^2+x^3+x^2-16*x),x)","F"
916,1,74,26,0.412000," ","int(((8*exp(x)^2+(16*x+35)*exp(x)+8*x^2+35*x+38)*ln((64*exp(x)^2*x^4+(128*x^5+304*x^4)*exp(x)+64*x^6+304*x^5+361*x^4)/(4*exp(x)^2+(8*x+16)*exp(x)+4*x^2+16*x+16))+8*exp(x)^2+(10*x+35)*exp(x)+8*x^2+29*x+38)/(8*exp(x)^2+(16*x+35)*exp(x)+8*x^2+35*x+38),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\frac{64 \,{\mathrm e}^{2 x} x^{4}+\left(128 x^{5}+304 x^{4}\right) {\mathrm e}^{x}+64 x^{6}+304 x^{5}+361 x^{4}}{4 \,{\mathrm e}^{2 x}+\left(8 x +16\right) {\mathrm e}^{x}+4 x^{2}+16 x +16}\right)-3 x$&$74$\\ risch&$-3 x +4 x \ln \left(2\right)+4 x \ln \left(x \right)-2 x \ln \left({\mathrm e}^{x}+2+x \right)+2 x \ln \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)-\frac{i \pi  x \mathrm{csgn}\left(\frac{i x^{4} \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)^{2}}{\left({\mathrm e}^{x}+2+x \right)^{2}}\right)^{3}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)^{2}\right)^{3}}{2}+\frac{i \pi  x \mathrm{csgn}\left(i \left({\mathrm e}^{x}+2+x \right)^{2}\right)^{3}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)^{2}}{\left({\mathrm e}^{x}+2+x \right)^{2}}\right)^{3}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i x^{3}\right)^{3}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i x^{4}\right)^{3}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i x^{4}\right) \mathrm{csgn}\left(\frac{i \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)^{2}}{\left({\mathrm e}^{x}+2+x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i x^{4} \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)^{2}}{\left({\mathrm e}^{x}+2+x \right)^{2}}\right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)^{2}\right) \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{x}+2+x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)^{2}}{\left({\mathrm e}^{x}+2+x \right)^{2}}\right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x^{4}\right) \mathrm{csgn}\left(\frac{i x^{4} \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)^{2}}{\left({\mathrm e}^{x}+2+x \right)^{2}}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)^{2}}{\left({\mathrm e}^{x}+2+x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i x^{4} \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)^{2}}{\left({\mathrm e}^{x}+2+x \right)^{2}}\right)^{2}}{2}+i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  x \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)^{2}\right)^{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)^{2}}{\left({\mathrm e}^{x}+2+x \right)^{2}}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{x}+2+x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)^{2}}{\left({\mathrm e}^{x}+2+x \right)^{2}}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}+\frac{i \pi  x \mathrm{csgn}\left(i \left({\mathrm e}^{x}+2+x \right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+2+x \right)^{2}\right)}{2}-i \pi  x \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+2+x \right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+2+x \right)^{2}\right)^{2}-\frac{i \pi  x \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}+\frac{19}{8}\right)^{2}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}}{2}$&$687$\\ \hline \end{longtable}"," ",0,"x*ln((64*exp(x)^2*x^4+(128*x^5+304*x^4)*exp(x)+64*x^6+304*x^5+361*x^4)/(4*exp(x)^2+(8*x+16)*exp(x)+4*x^2+16*x+16))-3*x","B"
917,1,33,24,0.030000," ","int(((2*x+1)*ln(x)*ln(ln(x))+(-2*x^2-x)*ln(x)^2+(-2*x^3-15*x^2+9*x+7)*ln(x)-2*x-8)/(x*ln(x)^3+(4*x^2+16*x)*ln(x)^2+(4*x^3+32*x^2+64*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(\ln \left(x \right)\right)}{8+2 x +\ln \left(x \right)}-\frac{x^{2}+x +8}{8+2 x +\ln \left(x \right)}$&$33$\\ \hline \end{longtable}"," ",0,"-1/(8+2*x+ln(x))*ln(ln(x))-(x^2+x+8)/(8+2*x+ln(x))","A"
918,1,25,25,0.023000," ","int((2*x^4*ln(4*x)^2+2*x^4*ln(4*x)-2*x^4-4*x^3+32)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x^{2} \ln \left(4 x \right)^{2}-x^{2}-4 x -\frac{16}{x^{2}}$&$25$\\ default&$x^{2} \ln \left(4 x \right)^{2}-x^{2}-4 x -\frac{16}{x^{2}}$&$25$\\ norman&$\frac{-16+x^{4} \ln \left(4 x \right)^{2}-4 x^{3}-x^{4}}{x^{2}}$&$27$\\ risch&$x^{2} \ln \left(4 x \right)^{2}-\frac{x^{4}+4 x^{3}+16}{x^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"x^2*ln(4*x)^2-x^2-4*x-16/x^2","A"
919,1,15,14,0.145000," ","int(-50*x/(16*exp(5)*ln(4/5)-25*x^2-64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(16 \,{\mathrm e}^{5} \ln \left(\frac{4}{5}\right)-25 x^{2}-64\right)$&$15$\\ default&$\ln \left(16 \,{\mathrm e}^{5} \ln \left(\frac{4}{5}\right)-25 x^{2}-64\right)$&$15$\\ norman&$\ln \left(16 \,{\mathrm e}^{5} \ln \left(\frac{4}{5}\right)-25 x^{2}-64\right)$&$15$\\ meijerg&$\ln \left(1-\frac{25 x^{2}}{16 \,{\mathrm e}^{5} \ln \left(\frac{4}{5}\right)-64}\right)$&$19$\\ risch&$\ln \left(-32 \,{\mathrm e}^{5} \ln \left(2\right)+16 \,{\mathrm e}^{5} \ln \left(5\right)+25 x^{2}+64\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(16*exp(5)*ln(4/5)-25*x^2-64)","A"
920,1,19,15,0.017000," ","int(exp(x)+2*(2*x+628)*ln(2)+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+2 x^{2} \ln \left(2\right)+1256 x \ln \left(2\right)+{\mathrm e}^{x}$&$19$\\ norman&$\left(1+2 \ln \left(2\right)\right) x^{2}+1256 x \ln \left(2\right)+{\mathrm e}^{x}$&$19$\\ risch&$x^{2}+2 x^{2} \ln \left(2\right)+1256 x \ln \left(2\right)+{\mathrm e}^{x}$&$19$\\ \hline \end{longtable}"," ",0,"x^2+2*x^2*ln(2)+1256*x*ln(2)+exp(x)","A"
921,1,46,27,0.065000," ","int(((-2*x^4+16*x^3-29*x^2-16*x+16)*exp(exp(x^4))+((-4*x^5+32*x^4-64*x^3)*exp(x^4)+(x^2-8*x+16)*exp(x)-2*x^3+16*x^2-30*x-8)*exp(exp(x)-3))/exp(x^2)/exp(exp(x^4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{3}-8 x^{2}+16 x \right) {\mathrm e}^{-x^{2}}+\left(x^{2}-8 x +16\right) {\mathrm e}^{-x^{2}-{\mathrm e}^{x^{4}}+{\mathrm e}^{x}-3}$&$46$\\ \hline \end{longtable}"," ",0,"(x^3-8*x^2+16*x)*exp(-x^2)+(x^2-8*x+16)*exp(-x^2-exp(x^4)+exp(x)-3)","A"
922,1,23,19,0.032000," ","int(1/7*((4*x^3+18*x^2-140*x+63)*ln(9*x)-x^3-6*x^2+70*x-63)/ln(9*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(x^{3}+6 x^{2}-70 x +63\right)}{7 \ln \left(9 x \right)}$&$23$\\ norman&$\frac{9 x -10 x^{2}+\frac{6}{7} x^{3}+\frac{1}{7} x^{4}}{\ln \left(9 x \right)}$&$27$\\ derivativedivides&$\frac{x^{4}}{7 \ln \left(9 x \right)}+\frac{6 x^{3}}{7 \ln \left(9 x \right)}-\frac{10 x^{2}}{\ln \left(9 x \right)}+\frac{9 x}{\ln \left(9 x \right)}$&$44$\\ default&$\frac{x^{4}}{7 \ln \left(9 x \right)}+\frac{6 x^{3}}{7 \ln \left(9 x \right)}-\frac{10 x^{2}}{\ln \left(9 x \right)}+\frac{9 x}{\ln \left(9 x \right)}$&$44$\\ \hline \end{longtable}"," ",0,"1/7*x*(x^3+6*x^2-70*x+63)/ln(9*x)","A"
923,1,37,27,0.100000," ","int(((-4*x^4-4*x^3+20*x^2+10*x-25)*ln((4*x^3+4*x^2-10*x)/(2*x^2-5))+4*x^4-20*x^2-20*x+25)/((20*x^4+20*x^3-100*x^2-50*x+125)*ln((4*x^3+4*x^2-10*x)/(2*x^2-5))^2+(-120*x^5-120*x^4+600*x^3+300*x^2-750*x)*ln((4*x^3+4*x^2-10*x)/(2*x^2-5))+180*x^6+180*x^5-900*x^4-450*x^3+1125*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{15 x -5 \ln \left(\frac{4 x^{3}+4 x^{2}-10 x}{2 x^{2}-5}\right)}$&$37$\\ risch&$\frac{x}{15 x -5 \ln \left(\frac{4 x^{3}+4 x^{2}-10 x}{2 x^{2}-5}\right)}$&$37$\\ \hline \end{longtable}"," ",0,"1/5*x/(3*x-ln((4*x^3+4*x^2-10*x)/(2*x^2-5)))","A"
924,1,18,17,0.025000," ","int(1/4*(3*x^4+4*x^3+48*x+16)*exp(3*x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{4}+16 x \right) {\mathrm e}^{3 x}}{4}-x$&$18$\\ derivativedivides&$-x +\frac{{\mathrm e}^{3 x} x^{4}}{4}+4 x \,{\mathrm e}^{3 x}$&$21$\\ default&$-x +\frac{{\mathrm e}^{3 x} x^{4}}{4}+4 x \,{\mathrm e}^{3 x}$&$21$\\ norman&$-x +\frac{{\mathrm e}^{3 x} x^{4}}{4}+4 x \,{\mathrm e}^{3 x}$&$21$\\ \hline \end{longtable}"," ",0,"1/4*(x^4+16*x)*exp(3*x)-x","A"
925,1,34,22,0.086000," ","int((-x*exp(4)*ln(x*exp(16/x))+x*exp(4)*ln(2*ln(2))+(-5*x+16)*exp(4))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-4 \,{\mathrm e}^{4}+{\mathrm e}^{4} \ln \left(2\right)+{\mathrm e}^{4} \ln \left(\ln \left(2\right)\right)\right) x -x \,{\mathrm e}^{4} \ln \left(x \,{\mathrm e}^{\frac{16}{x}}\right)$&$34$\\ default&$x \,{\mathrm e}^{4} \ln \left(2 \ln \left(2\right)\right)+16 \,{\mathrm e}^{4} \ln \left(x \right)-4 x \,{\mathrm e}^{4}-x \,{\mathrm e}^{4} \ln \left(x \,{\mathrm e}^{\frac{16}{x}}\right)+16 \,{\mathrm e}^{4} \ln \left(\frac{16}{x}\right)$&$46$\\ risch&$-x \,{\mathrm e}^{4} \ln \left({\mathrm e}^{\frac{16}{x}}\right)-x \,{\mathrm e}^{4} \ln \left(x \right)+\frac{i x \,{\mathrm e}^{4} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{16}{x}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{16}{x}}\right)}{2}-\frac{i x \,{\mathrm e}^{4} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{16}{x}}\right)^{2}}{2}-\frac{i x \,{\mathrm e}^{4} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{16}{x}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{16}{x}}\right)^{2}}{2}+\frac{i x \,{\mathrm e}^{4} \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{16}{x}}\right)^{3}}{2}+x \,{\mathrm e}^{4} \ln \left(2\right)+x \,{\mathrm e}^{4} \ln \left(\ln \left(2\right)\right)-4 x \,{\mathrm e}^{4}$&$147$\\ \hline \end{longtable}"," ",0,"(-4*exp(4)+exp(4)*ln(2)+exp(4)*ln(ln(2)))*x-x*exp(4)*ln(x*exp(16/x))","A"
926,1,12,18,0.033000," ","int(1/x/exp((2*exp(1)*ln(10)-4*exp(1)-4)/exp(1))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right) {\mathrm e}^{8+8 \,{\mathrm e}^{-1}}}{10000}$&$12$\\ norman&$\frac{{\mathrm e}^{8} {\mathrm e}^{8 \,{\mathrm e}^{-1}} \ln \left(x \right)}{10000}$&$16$\\ default&${\mathrm e}^{-4 \left({\mathrm e} \ln \left(10\right)-2 \,{\mathrm e}-2\right) {\mathrm e}^{-1}} \ln \left(x \right)$&$24$\\ \hline \end{longtable}"," ",0,"1/10000*ln(x)*exp(8+8*exp(-1))","A"
927,1,46,30,0.038000," ","int(((36*x^3+15*x)*ln(x)^2+(-192*x^3-60*x)*ln(x)+exp(3)+252*x^3+45*x)/x/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-3} \left(12 x^{3}+15 x \right) \ln \left(x \right)^{2}+{\mathrm e}^{-3} \left(-72 x^{3}-90 x \right) \ln \left(x \right)+108 \,{\mathrm e}^{-3} x^{3}+135 x \,{\mathrm e}^{-3}+\ln \left(x \right)$&$46$\\ default&${\mathrm e}^{-3} \left(12 x^{3} \ln \left(x \right)^{2}-72 x^{3} \ln \left(x \right)+108 x^{3}+15 x \ln \left(x \right)^{2}-90 x \ln \left(x \right)+135 x +\ln \left(x \right) {\mathrm e}^{3}\right)$&$48$\\ norman&$\ln \left(x \right)+135 x \,{\mathrm e}^{-3}+108 \,{\mathrm e}^{-3} x^{3}-90 x \,{\mathrm e}^{-3} \ln \left(x \right)+15 x \,{\mathrm e}^{-3} \ln \left(x \right)^{2}-72 \,{\mathrm e}^{-3} x^{3} \ln \left(x \right)+12 \,{\mathrm e}^{-3} x^{3} \ln \left(x \right)^{2}$&$64$\\ \hline \end{longtable}"," ",0,"exp(-3)*(12*x^3+15*x)*ln(x)^2+exp(-3)*(-72*x^3-90*x)*ln(x)+108*exp(-3)*x^3+135*x*exp(-3)+ln(x)","A"
928,1,39,23,0.233000," ","int(((-5*x^2*exp(x^2-2*x)^2-50*x^2*exp(x^2-2*x)-5*x^4-40*x^3-75*x^2)*exp((x*exp(x^2-2*x)+x^2+4*x+1)/(exp(x^2-2*x)+4+x))+50*exp(x^2-2*x)^2+(100*x+400)*exp(x^2-2*x)+50*x^2+400*x+800)/((x^2*exp(x^2-2*x)^2+(2*x^3+8*x^2)*exp(x^2-2*x)+x^4+8*x^3+16*x^2)*exp((x*exp(x^2-2*x)+x^2+4*x+1)/(exp(x^2-2*x)+4+x))^2+(20*x*exp(x^2-2*x)^2+(40*x^2+160*x)*exp(x^2-2*x)+20*x^3+160*x^2+320*x)*exp((x*exp(x^2-2*x)+x^2+4*x+1)/(exp(x^2-2*x)+4+x))+100*exp(x^2-2*x)^2+(200*x+800)*exp(x^2-2*x)+100*x^2+800*x+1600),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x}{x \,{\mathrm e}^{\frac{x \,{\mathrm e}^{\left(x -2\right) x}+x^{2}+4 x +1}{4+{\mathrm e}^{\left(x -2\right) x}+x}}+10}$&$39$\\ \hline \end{longtable}"," ",0,"5*x/(x*exp((x*exp((x-2)*x)+x^2+4*x+1)/(4+exp((x-2)*x)+x))+10)","A"
929,1,16,24,0.141000," ","int(((x^2-6*x+5)*ln(x-5)+2*x)/(4*x^2-20*x)/ln(x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{4}-\frac{\ln \left(x \right)}{4}+\frac{\ln \left(\ln \left(x -5\right)\right)}{2}$&$16$\\ risch&$\frac{x}{4}-\frac{\ln \left(x \right)}{4}+\frac{\ln \left(\ln \left(x -5\right)\right)}{2}$&$16$\\ derivativedivides&$\frac{x}{4}-\frac{5}{4}-\frac{\ln \left(x \right)}{4}+\frac{\ln \left(\ln \left(x -5\right)\right)}{2}$&$17$\\ default&$\frac{x}{4}-\frac{5}{4}-\frac{\ln \left(x \right)}{4}+\frac{\ln \left(\ln \left(x -5\right)\right)}{2}$&$17$\\ \hline \end{longtable}"," ",0,"1/4*x-1/4*ln(x)+1/2*ln(ln(x-5))","A"
930,1,19,19,0.031000," ","int(((4*x+2)*ln(x)^3-16*ln(2)^2)/x/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x +2 \ln \left(x \right)+\frac{8 \ln \left(2\right)^{2}}{\ln \left(x \right)^{2}}$&$19$\\ risch&$4 x +2 \ln \left(x \right)+\frac{8 \ln \left(2\right)^{2}}{\ln \left(x \right)^{2}}$&$19$\\ norman&$\frac{2 \ln \left(x \right)^{3}+8 \ln \left(2\right)^{2}+4 x \ln \left(x \right)^{2}}{\ln \left(x \right)^{2}}$&$26$\\ \hline \end{longtable}"," ",0,"4*x+2*ln(x)+8*ln(2)^2/ln(x)^2","A"
931,1,24,26,0.036000," ","int(((-ln(3)-3*exp(5)+6*x-13)*exp(((-x+4)*ln(3)+(-3*x+12)*exp(5)+3*x^2-13*x+4)/exp(5))-exp(5))/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{-\left(x -4\right) \left(-3 x +\ln \left(3\right)+3 \,{\mathrm e}^{5}+1\right) {\mathrm e}^{-5}}$&$24$\\ norman&$-x +{\mathrm e}^{\left(\left(-x +4\right) \ln \left(3\right)+\left(-3 x +12\right) {\mathrm e}^{5}+3 x^{2}-13 x +4\right) {\mathrm e}^{-5}}$&$37$\\ default&${\mathrm e}^{-5} \left({\mathrm e}^{\left(\left(-x +4\right) \ln \left(3\right)+\left(-3 x +12\right) {\mathrm e}^{5}+3 x^{2}-13 x +4\right) {\mathrm e}^{-5}} {\mathrm e}^{5}-x \,{\mathrm e}^{5}\right)$&$47$\\ \hline \end{longtable}"," ",0,"-x+exp(-(x-4)*(-3*x+ln(3)+3*exp(5)+1)*exp(-5))","A"
932,1,38,27,0.268000," ","int((((-4*ln(2)^2+12*ln(2)-9)*exp(x)+8*x^2)*ln(1/2*(4*x^2*ln(2)^2-12*x^2*ln(2)+9*x^2)*exp(x)-4*x^4)+(4*(2+x)*ln(2)^2+2*(-6*x-12)*ln(2)+9*x+18)*exp(x)-32*x^2)/((4*x^2*ln(2)^2-12*x^2*ln(2)+9*x^2)*exp(x)-8*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(\frac{\left(4 x^{2} \ln \left(2\right)^{2}-12 x^{2} \ln \left(2\right)+9 x^{2}\right) {\mathrm e}^{x}}{2}-4 x^{4}\right)}{x}$&$38$\\ risch&$\frac{\ln \left(\ln \left(2\right)^{2} {\mathrm e}^{x}-3 \,{\mathrm e}^{x} \ln \left(2\right)-2 x^{2}+\frac{9 \,{\mathrm e}^{x}}{4}\right)}{x}-\frac{i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i \left(\ln \left(2\right)^{2} {\mathrm e}^{x}-3 \,{\mathrm e}^{x} \ln \left(2\right)-2 x^{2}+\frac{9 \,{\mathrm e}^{x}}{4}\right)\right) \mathrm{csgn}\left(i x^{2} \left(\ln \left(2\right)^{2} {\mathrm e}^{x}-3 \,{\mathrm e}^{x} \ln \left(2\right)-2 x^{2}+\frac{9 \,{\mathrm e}^{x}}{4}\right)\right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \left(\ln \left(2\right)^{2} {\mathrm e}^{x}-3 \,{\mathrm e}^{x} \ln \left(2\right)-2 x^{2}+\frac{9 \,{\mathrm e}^{x}}{4}\right)\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(2\right)^{2} {\mathrm e}^{x}-3 \,{\mathrm e}^{x} \ln \left(2\right)-2 x^{2}+\frac{9 \,{\mathrm e}^{x}}{4}\right)\right) \mathrm{csgn}\left(i x^{2} \left(\ln \left(2\right)^{2} {\mathrm e}^{x}-3 \,{\mathrm e}^{x} \ln \left(2\right)-2 x^{2}+\frac{9 \,{\mathrm e}^{x}}{4}\right)\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{2} \left(\ln \left(2\right)^{2} {\mathrm e}^{x}-3 \,{\mathrm e}^{x} \ln \left(2\right)-2 x^{2}+\frac{9 \,{\mathrm e}^{x}}{4}\right)\right)^{3}+2 \ln \left(2\right)-4 \ln \left(x \right)}{2 x}$&$303$\\ \hline \end{longtable}"," ",0,"ln(1/2*(4*x^2*ln(2)^2-12*x^2*ln(2)+9*x^2)*exp(x)-4*x^4)/x","A"
933,1,35,24,0.029000," ","int(1/256*(256*exp(x)+x^12-12*x^11+32*x^10-320*x^9+384*x^8-3072*x^7+2048*x^6-12288*x^5+4096*x^4-16384*x^3)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(-x^{12}-32 x^{10}-384 x^{8}-2048 x^{6}-4096 x^{4}\right) {\mathrm e}^{-x}}{256}$&$35$\\ norman&$\left({\mathrm e}^{x} x -16 x^{4}-8 x^{6}-\frac{3 x^{8}}{2}-\frac{x^{10}}{8}-\frac{x^{12}}{256}\right) {\mathrm e}^{-x}$&$36$\\ default&$x -16 x^{4} {\mathrm e}^{-x}-\frac{{\mathrm e}^{-x} x^{12}}{256}-\frac{{\mathrm e}^{-x} x^{10}}{8}-\frac{3 \,{\mathrm e}^{-x} x^{8}}{2}-8 \,{\mathrm e}^{-x} x^{6}$&$48$\\ \hline \end{longtable}"," ",0,"x+1/256*(-x^12-32*x^10-384*x^8-2048*x^6-4096*x^4)*exp(-x)","A"
934,1,14,17,0.034000," ","int(((2*exp(4)^4-2)*exp(2*x*exp(4)^4-2*x)+8)*exp(exp(2*x*exp(4)^4-2*x)+8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{2 x \left(-1+{\mathrm e}^{16}\right)}+8 x}$&$14$\\ derivativedivides&${\mathrm e}^{{\mathrm e}^{2 x \,{\mathrm e}^{16}-2 x}+8 x}$&$18$\\ default&${\mathrm e}^{{\mathrm e}^{2 x \,{\mathrm e}^{16}-2 x}+8 x}$&$18$\\ norman&${\mathrm e}^{{\mathrm e}^{2 x \,{\mathrm e}^{16}-2 x}+8 x}$&$18$\\ \hline \end{longtable}"," ",0,"exp(exp(2*x*(-1+exp(16)))+8*x)","A"
935,1,34,23,0.057000," ","int((6*x^20-159*x^18+1863*x^16-12636*x^14+54432*x^12-153090*x^10+275562*x^8-288680*x^6+118102*x^4+59049*x^2-59049)/(3*x^19-81*x^17+972*x^15-6804*x^13+30618*x^11-91854*x^9+183708*x^7-236196*x^5+177147*x^3-59049*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-\frac{2}{3 \left(x^{2}-3\right)^{7}}-\frac{1}{\left(x^{2}-3\right)^{8}}-\frac{1}{9 \left(x^{2}-3\right)^{6}}+\ln \left(x \right)$&$34$\\ norman&$\frac{x^{18}-98415 x^{2}-61236 x^{6}-3402 x^{10}-18 x^{16}+108 x^{14}+20412 x^{8}+\frac{944783}{9} x^{4}+39366}{\left(x^{2}-3\right)^{8}}+\ln \left(x \right)$&$52$\\ risch&$x^{2}-\frac{x^{4}}{9 \left(x^{16}-24 x^{14}+252 x^{12}-1512 x^{10}+5670 x^{8}-13608 x^{6}+20412 x^{4}-17496 x^{2}+6561\right)}+\ln \left(x \right)$&$54$\\ \hline \end{longtable}"," ",0,"x^2-2/3/(x^2-3)^7-1/(x^2-3)^8-1/9/(x^2-3)^6+ln(x)","A"
936,1,35,16,0.088000," ","int(((4*x^3-8*x)*exp(39)+2*x^4-8)*exp((4*x^2*exp(39)^2+(4*x^3+8*x)*exp(39)+x^4+4*x^2+4)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{4 \,{\mathrm e}^{39} x^{3}+x^{4}+4 x^{2} {\mathrm e}^{78}+8 \,{\mathrm e}^{39} x +4 x^{2}+4}{x^{2}}}$&$35$\\ gosper&${\mathrm e}^{\frac{4 \,{\mathrm e}^{39} x^{3}+x^{4}+4 x^{2} {\mathrm e}^{78}+8 \,{\mathrm e}^{39} x +4 x^{2}+4}{x^{2}}}$&$37$\\ norman&${\mathrm e}^{\frac{4 x^{2} {\mathrm e}^{78}+\left(4 x^{3}+8 x \right) {\mathrm e}^{39}+x^{4}+4 x^{2}+4}{x^{2}}}$&$37$\\ \hline \end{longtable}"," ",0,"exp((4*exp(39)*x^3+x^4+4*x^2*exp(78)+8*exp(39)*x+4*x^2+4)/x^2)","B"
937,1,165,20,0.145000," ","int(((((4*x^4+12*x^3)*exp(x)+4*x^5-8*x^4-60*x^3)*ln(3+x)^2+(2*exp(x)*x^4+2*x^5-10*x^4)*ln(3+x))*ln(exp(x)^2+(x-5)*exp(x))+((2*x^5+6*x^4)*exp(x)+x^6-x^5-12*x^4)*ln(3+x)^2)/((5*x+15)*exp(x)+5*x^2-10*x-75),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4} \ln \left(3+x \right)^{2} \ln \left({\mathrm e}^{x}\right)}{5}+\frac{x^{4} \ln \left(3+x \right)^{2} \ln \left({\mathrm e}^{x}+x -5\right)}{5}-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+x -5\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left({\mathrm e}^{x}+x -5\right)\right) \ln \left(3+x \right)^{2}}{10}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+x -5\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left({\mathrm e}^{x}+x -5\right)\right)^{2} \ln \left(3+x \right)^{2}}{10}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left({\mathrm e}^{x}+x -5\right)\right)^{2} \ln \left(3+x \right)^{2}}{10}-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i {\mathrm e}^{x} \left({\mathrm e}^{x}+x -5\right)\right)^{3} \ln \left(3+x \right)^{2}}{10}$&$165$\\ \hline \end{longtable}"," ",0,"1/5*x^4*ln(3+x)^2*ln(exp(x))+1/5*x^4*ln(3+x)^2*ln(exp(x)+x-5)-1/10*I*Pi*x^4*csgn(I*(exp(x)+x-5))*csgn(I*exp(x))*csgn(I*exp(x)*(exp(x)+x-5))*ln(3+x)^2+1/10*I*Pi*x^4*csgn(I*(exp(x)+x-5))*csgn(I*exp(x)*(exp(x)+x-5))^2*ln(3+x)^2+1/10*I*Pi*x^4*csgn(I*exp(x))*csgn(I*exp(x)*(exp(x)+x-5))^2*ln(3+x)^2-1/10*I*Pi*x^4*csgn(I*exp(x)*(exp(x)+x-5))^3*ln(3+x)^2","C"
938,1,37,29,0.157000," ","int(((500*x^5+1725*x^4+400*x^3+12*x+3)*ln((16*x^2+8*x+1)/x^2)^2+(8*x^2+18*x+4)*ln((16*x^2+8*x+1)/x^2)+2*x+8)/(4*x+1)/ln((16*x^2+8*x+1)/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x^{5}+100 x^{4}+3 x +\frac{\left(4+x \right) x}{\ln \left(\frac{16 x^{2}+8 x +1}{x^{2}}\right)}$&$37$\\ norman&$\frac{x^{2}+4 x +100 x^{4} \ln \left(\frac{16 x^{2}+8 x +1}{x^{2}}\right)+25 x^{5} \ln \left(\frac{16 x^{2}+8 x +1}{x^{2}}\right)+3 \ln \left(\frac{16 x^{2}+8 x +1}{x^{2}}\right) x}{\ln \left(\frac{16 x^{2}+8 x +1}{x^{2}}\right)}$&$84$\\ \hline \end{longtable}"," ",0,"25*x^5+100*x^4+3*x+(4+x)*x/ln((16*x^2+8*x+1)/x^2)","A"
939,1,13,24,0.184000," ","int((2*x^2-2*x+1)/(x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\ln \left(x -1\right)-\ln \left(x \right)$&$13$\\ norman&$2 x +\ln \left(x -1\right)-\ln \left(x \right)$&$13$\\ risch&$2 x +\ln \left(x -1\right)-\ln \left(x \right)$&$13$\\ meijerg&$\ln \left(1-x \right)-\ln \left(x \right)-i \pi +2 x$&$19$\\ \hline \end{longtable}"," ",0,"2*x+ln(x-1)-ln(x)","A"
940,1,61,31,0.056000," ","int(((4*x^3-12*x^2+4*x)*exp(x)^4*ln(x)^2+((-24*x^3+72*x^2-24*x)*exp(x)^4+24*x*exp(x)^3)*ln(x)+(36*x^3-108*x^2+36*x)*exp(x)^4+(-72*x+8)*exp(x)^3)/((x^5-4*x^4+4*x^3)*exp(x)^2*ln(x)^2+((-6*x^5+24*x^4-24*x^3)*exp(x)^2+(8*x^3-16*x^2)*exp(x))*ln(x)+(9*x^5-36*x^4+36*x^3)*exp(x)^2+(-24*x^3+48*x^2)*exp(x)+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{2 x}}{\left(x -2\right) x}-\frac{8 \,{\mathrm e}^{2 x}}{\left(x -2\right) x \left(x^{2} {\mathrm e}^{x} \ln \left(x \right)-2 x \,{\mathrm e}^{x} \ln \left(x \right)-3 \,{\mathrm e}^{x} x^{2}+6 \,{\mathrm e}^{x} x +4\right)}$&$61$\\ \hline \end{longtable}"," ",0,"2*exp(2*x)/(x-2)/x-8*exp(2*x)/(x-2)/x/(x^2*exp(x)*ln(x)-2*x*exp(x)*ln(x)-3*exp(x)*x^2+6*exp(x)*x+4)","A"
941,1,30,21,0.028000," ","int((((15*x+40)*exp(x)+210*x+560)*ln(exp(x)+14)+(6*x^3-15*x^2-20*x)*exp(x)+14*x^3)*exp(((5*x^2-15*x-20)*ln(exp(x)+14)+x^3)/x^2)/(exp(x)*x^3+14*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{x}+14\right)^{5} \left({\mathrm e}^{x}+14\right)^{-\frac{15}{x}} \left({\mathrm e}^{x}+14\right)^{-\frac{20}{x^{2}}} {\mathrm e}^{x}$&$30$\\ \hline \end{longtable}"," ",0,"(exp(x)+14)^5*(exp(x)+14)^(-15/x)*(exp(x)+14)^(-20/x^2)*exp(x)","A"
942,1,25,30,0.146000," ","int(((-10*x^5+20*x^4-5*x^3+75*x^2+75*x+5)*ln(2)*exp((x^4+6*x^2+9)/(x^2-2*x+1))+(-20*x^3+60*x^2-60*x+20)*ln(2))*exp(5*ln(2)/(x*exp((x^4+6*x^2+9)/(x^2-2*x+1))+4*x))/((x^5-3*x^4+3*x^3-x^2)*exp((x^4+6*x^2+9)/(x^2-2*x+1))^2+(8*x^5-24*x^4+24*x^3-8*x^2)*exp((x^4+6*x^2+9)/(x^2-2*x+1))+16*x^5-48*x^4+48*x^3-16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$32^{\frac{1}{x \left({\mathrm e}^{\frac{\left(x^{2}+3\right)^{2}}{\left(x -1\right)^{2}}}+4\right)}}$&$25$\\ \hline \end{longtable}"," ",0,"32^(1/x/(exp((x^2+3)^2/(x-1)^2)+4))","A"
943,1,32,29,0.040000," ","int(((75*x^4+120*x^3+45*x^2-10*x)*exp(x^5+2*x^4+x^3+x)-4*x^2+2*x+18)/(15*exp(x^5+2*x^4+x^3+x)+6*x-12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x^{2}}{3}-x +\ln \left(15 \,{\mathrm e}^{x^{5}+2 x^{4}+x^{3}+x}+6 x -12\right)$&$32$\\ risch&$-\frac{x^{2}}{3}-x +\ln \left({\mathrm e}^{x \left(x^{4}+2 x^{3}+x^{2}+1\right)}+\frac{2 x}{5}-\frac{4}{5}\right)$&$32$\\ \hline \end{longtable}"," ",0,"-1/3*x^2-x+ln(15*exp(x^5+2*x^4+x^3+x)+6*x-12)","A"
944,1,29,15,0.104000," ","int(1/25*(-16*exp(1/x^8)^2+(4*x^9-32*x-80)*exp(1/x^8)+8*x^10+20*x^9)/x^9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x^{2}}{25}+\frac{{\mathrm e}^{\frac{2}{x^{8}}}}{25}+\frac{4 x}{5}+\frac{\left(4 x +10\right) {\mathrm e}^{\frac{1}{x^{8}}}}{25}$&$29$\\ norman&$\frac{\frac{4 x^{9}}{5}+\frac{4 x^{10}}{25}+\frac{2 \,{\mathrm e}^{\frac{1}{x^{8}}} x^{8}}{5}+\frac{4 \,{\mathrm e}^{\frac{1}{x^{8}}} x^{9}}{25}+\frac{{\mathrm e}^{\frac{2}{x^{8}}} x^{8}}{25}}{x^{8}}$&$45$\\ \hline \end{longtable}"," ",0,"4/25*x^2+1/25*exp(2/x^8)+4/5*x+1/25*(4*x+10)*exp(1/x^8)","A"
945,1,3,4,0.007000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
946,1,22,23,0.034000," ","int(((-2*exp(x)*x-2*x)*ln(x+1)+(-x^2+1)*exp(x)-2*x^2-x+1)/(((x^2+x)*exp(x)+x^2+x)*ln(exp(x)+1)+((-x^2-x)*exp(x)-x^2-x)*ln(x+1)^2+((x^2+x)*exp(x)+x^2+x)*ln(x)+(-2*x^3-6*x^2-4*x)*exp(x)-2*x^3-6*x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-\ln \left(x +1\right)^{2}+\ln \left(x \right)+\ln \left({\mathrm e}^{x}+1\right)-2 x -4\right)$&$22$\\ \hline \end{longtable}"," ",0,"ln(-ln(x+1)^2+ln(x)+ln(exp(x)+1)-2*x-4)","A"
947,1,40,16,0.019000," ","int(64/625*x^2*ln(x)^2+1/1875*(-512*x^3+1280*x^2)*ln(x)+64/375*x^4-1664/1875*x^3+704/625*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{192 x^{3}}{625}-\frac{128 x^{4}}{625}+\frac{64 x^{5}}{1875}+\frac{64 x^{3} \ln \left(x \right)^{2}}{1875}+\frac{128 x^{3} \ln \left(x \right)}{625}-\frac{128 x^{4} \ln \left(x \right)}{1875}$&$40$\\ norman&$\frac{192 x^{3}}{625}-\frac{128 x^{4}}{625}+\frac{64 x^{5}}{1875}+\frac{64 x^{3} \ln \left(x \right)^{2}}{1875}+\frac{128 x^{3} \ln \left(x \right)}{625}-\frac{128 x^{4} \ln \left(x \right)}{1875}$&$40$\\ risch&$\frac{192 x^{3}}{625}-\frac{128 x^{4}}{625}+\frac{64 x^{5}}{1875}+\frac{64 x^{3} \ln \left(x \right)^{2}}{1875}+\frac{128 x^{3} \ln \left(x \right)}{625}-\frac{128 x^{4} \ln \left(x \right)}{1875}$&$40$\\ \hline \end{longtable}"," ",0,"192/625*x^3-128/625*x^4+64/1875*x^5+64/1875*x^3*ln(x)^2+128/625*x^3*ln(x)-128/1875*x^4*ln(x)","B"
948,1,9,14,0.020000," ","int(4*ln(2)*exp(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$4 \ln \left(2\right) {\mathrm e}^{4+x}$&$9$\\ derivativedivides&$4 \ln \left(2\right) {\mathrm e}^{4+x}$&$9$\\ default&$4 \ln \left(2\right) {\mathrm e}^{4+x}$&$9$\\ norman&$4 \ln \left(2\right) {\mathrm e}^{4+x}$&$9$\\ risch&$4 \ln \left(2\right) {\mathrm e}^{4+x}$&$9$\\ meijerg&$-4 \ln \left(2\right) {\mathrm e}^{4} \left(1-{\mathrm e}^{x}\right)$&$13$\\ \hline \end{longtable}"," ",0,"4*ln(2)*exp(4+x)","A"
949,1,22,31,0.066000," ","int((4*exp(exp(x^2)-x)-8*x^3*ln(3)*exp(x^2)+4*x^2*ln(3))/x^2/ln(3)/exp(exp(x^2)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4}{x \ln \left(3\right)}+4 \,{\mathrm e}^{-{\mathrm e}^{x^{2}}+x}$&$22$\\ norman&$\frac{\left(4 x -\frac{4 \,{\mathrm e}^{{\mathrm e}^{x^{2}}-x}}{\ln \left(3\right)}\right) {\mathrm e}^{-{\mathrm e}^{x^{2}}+x}}{x}$&$35$\\ \hline \end{longtable}"," ",0,"-4/x/ln(3)+4*exp(-exp(x^2)+x)","A"
950,1,22,25,0.198000," ","int(((8*x^2+24*x+18)*exp(x)+12*x^4+20*x^3-13*x^2-12*x+12)/(8*x^2+24*x+18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3}}{2}-x^{2}+x +\frac{3}{4 \left(x +\frac{3}{2}\right)}+{\mathrm e}^{x}$&$22$\\ default&$\frac{3}{2 \left(2 x +3\right)}+x -x^{2}+\frac{x^{3}}{2}+{\mathrm e}^{x}$&$24$\\ norman&$\frac{x^{4}-x^{2}-\frac{x^{3}}{2}+2 \,{\mathrm e}^{x} x +3 \,{\mathrm e}^{x}-3}{2 x +3}$&$33$\\ \hline \end{longtable}"," ",0,"1/2*x^3-x^2+x+3/4/(x+3/2)+exp(x)","A"
951,1,16,17,0.152000," ","int(((-2*exp(1)-2*x)*exp(2)*ln(x+exp(1))-exp(2))/(2*exp(1)+2*x)/exp(x)^2/ln(x+exp(1))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{2} {\mathrm e}^{-2 x}}{2 \ln \left(x +{\mathrm e}\right)}$&$16$\\ risch&$\frac{{\mathrm e}^{-2 x +2}}{2 \ln \left(x +{\mathrm e}\right)}$&$16$\\ \hline \end{longtable}"," ",0,"1/2*exp(2)/exp(x)^2/ln(x+exp(1))","A"
952,1,19,18,0.194000," ","int((exp(4)+3*x^3-61*x^2+320*x-100)/(x^2-20*x+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 x^{2}}{2}-\frac{{\mathrm e}^{4}}{x -10}-x$&$19$\\ risch&$\frac{3 x^{2}}{2}-\frac{{\mathrm e}^{4}}{x -10}-x$&$19$\\ norman&$\frac{\frac{3 x^{3}}{2}-16 x^{2}+100-{\mathrm e}^{4}}{x -10}$&$23$\\ gosper&$-\frac{-3 x^{3}+32 x^{2}+2 \,{\mathrm e}^{4}-200}{2 \left(x -10\right)}$&$24$\\ meijerg&$\frac{31 x}{1-\frac{x}{10}}+\frac{x \,{\mathrm e}^{4}}{100-10 x}+\frac{15 x \left(-\frac{1}{50} x^{2}-\frac{3}{5} x +12\right)}{2 \left(1-\frac{x}{10}\right)}-\frac{61 x \left(-\frac{3 x}{10}+6\right)}{3 \left(1-\frac{x}{10}\right)}$&$59$\\ \hline \end{longtable}"," ",0,"3/2*x^2-exp(4)/(x-10)-x","A"
953,1,10,16,0.014000," ","int((x+1)*ln(x)/(x*ln(x)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\ln \left(x \ln \left(x \right)-1\right)$&$10$\\ risch&$x +\ln \left(x \right)+\ln \left(\ln \left(x \right)-\frac{1}{x}\right)$&$14$\\ \hline \end{longtable}"," ",0,"x+ln(x*ln(x)-1)","A"
954,1,142,22,0.121000," ","int(((x*ln(x)^2+(exp(1)+6*x)*ln(x)+4*exp(1)+9*x)*ln(x^2)+2*x*ln(x)^3+14*x*ln(x)^2+(-2*exp(1)+30*x)*ln(x)-6*exp(1)+18*x)/(x^2*ln(x)^2+6*x^2*ln(x)+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right)^{2}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) x -2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} x +i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} x -4 x \ln \left(x \right)+4 \,{\mathrm e}}{2 x}+\frac{i {\mathrm e} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-12 i\right)}{2 x \left(3+\ln \left(x \right)\right)}$&$142$\\ \hline \end{longtable}"," ",0,"2*ln(x)^2-1/2*(I*Pi*ln(x)*csgn(I*x)^2*csgn(I*x^2)*x-2*I*Pi*ln(x)*csgn(I*x)*csgn(I*x^2)^2*x+I*Pi*ln(x)*csgn(I*x^2)^3*x-4*x*ln(x)+4*exp(1))/x+1/2*I/x*exp(1)*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-12*I)/(3+ln(x))","C"
955,1,18,18,0.095000," ","int(((x*exp(5)+x)*exp(x*exp(5)+x+1)+1-2*x)*exp(exp(x*exp(5)+x+1)+ln(5)-2*x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x \,{\mathrm e}^{{\mathrm e}^{x \,{\mathrm e}^{5}+x +1}-5-2 x}$&$18$\\ norman&$x \,{\mathrm e}^{{\mathrm e}^{x \,{\mathrm e}^{5}+x +1}+\ln \left(5\right)-2 x -5}$&$19$\\ \hline \end{longtable}"," ",0,"5*x*exp(exp(x*exp(5)+x+1)-5-2*x)","A"
956,0,0,25,0.039000," ","int(((exp(1)-x^4-9*x^3)*ln((-x^2*exp(1)+x^6+9*x^5)/exp(1))*ln(ln((-x^2*exp(1)+x^6+9*x^5)/exp(1)))-2*exp(1)+6*x^4+45*x^3)/(exp(1)-x^4-9*x^3)/ln((-x^2*exp(1)+x^6+9*x^5)/exp(1))/ln(ln((-x^2*exp(1)+x^6+9*x^5)/exp(1)))^2,x)","\[\int \frac{\left({\mathrm e}-x^{4}-9 x^{3}\right) \ln \left(\left(-x^{2} {\mathrm e}+x^{6}+9 x^{5}\right) {\mathrm e}^{-1}\right) \ln \left(\ln \left(\left(-x^{2} {\mathrm e}+x^{6}+9 x^{5}\right) {\mathrm e}^{-1}\right)\right)-2 \,{\mathrm e}+6 x^{4}+45 x^{3}}{\left({\mathrm e}-x^{4}-9 x^{3}\right) \ln \left(\left(-x^{2} {\mathrm e}+x^{6}+9 x^{5}\right) {\mathrm e}^{-1}\right) \ln \left(\ln \left(\left(-x^{2} {\mathrm e}+x^{6}+9 x^{5}\right) {\mathrm e}^{-1}\right)\right)^{2}}\, dx\]"," ",0,"int(((exp(1)-x^4-9*x^3)*ln((-x^2*exp(1)+x^6+9*x^5)/exp(1))*ln(ln((-x^2*exp(1)+x^6+9*x^5)/exp(1)))-2*exp(1)+6*x^4+45*x^3)/(exp(1)-x^4-9*x^3)/ln((-x^2*exp(1)+x^6+9*x^5)/exp(1))/ln(ln((-x^2*exp(1)+x^6+9*x^5)/exp(1)))^2,x)","F"
957,1,14,15,0.021000," ","int(4*ln(4*exp(1))+32*x-12,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$4 x \left(-3+\ln \left(4 \,{\mathrm e}\right)+4 x \right)$&$14$\\ norman&$\left(-8+8 \ln \left(2\right)\right) x +16 x^{2}$&$15$\\ risch&$8 x \ln \left(2\right)+16 x^{2}-8 x$&$15$\\ default&$4 \ln \left(4 \,{\mathrm e}\right) x +16 x^{2}-12 x$&$18$\\ \hline \end{longtable}"," ",0,"4*x*(-3+ln(4*exp(1))+4*x)","A"
958,1,22,28,0.055000," ","int((((3*x^3-6)*exp(5)*exp(1/x^2)+(-45*x^2+45*x)*exp(5))*exp(x)-6*exp(5)*exp(1/x^2)+45*x*exp(5))/((x^3*exp(1/x^2)^2-30*x^2*exp(1/x^2)+225*x)*exp(x)^2+(2*x^3*exp(1/x^2)^2-60*x^2*exp(1/x^2)+450*x)*exp(x)+x^3*exp(1/x^2)^2-30*x^2*exp(1/x^2)+225*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 x \,{\mathrm e}^{5}}{\left({\mathrm e}^{x}+1\right) \left(x \,{\mathrm e}^{\frac{1}{x^{2}}}-15\right)}$&$22$\\ \hline \end{longtable}"," ",0,"-3*x*exp(5)/(exp(x)+1)/(x*exp(1/x^2)-15)","A"
959,1,22,20,0.174000," ","int(((5*exp(4)+10*x)*ln(1/(exp(4)^2+4*x*exp(4)+4*x^2))+exp(4)-18*x)/(2*x+exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +5 \ln \left(\frac{1}{{\mathrm e}^{8}+4 x \,{\mathrm e}^{4}+4 x^{2}}\right) x$&$22$\\ default&$x +5 \ln \left(\frac{1}{{\mathrm e}^{8}+4 x \,{\mathrm e}^{4}+4 x^{2}}\right) x$&$24$\\ norman&$x +5 \ln \left(\frac{1}{{\mathrm e}^{8}+4 x \,{\mathrm e}^{4}+4 x^{2}}\right) x$&$24$\\ \hline \end{longtable}"," ",0,"x+5*ln(1/(exp(8)+4*x*exp(4)+4*x^2))*x","A"
960,1,37,32,0.174000," ","int(((-x^4-x^2)*ln(x^2+1)^2+((10*x^3-25*x^2+10*x-25)*ln(2)^2-2*x^5-8*x^4-2*x^3-8*x^2)*ln(x^2+1)+(-25*x^2-25)*ln(2)^4+(10*x^4-10*x^3-140*x^2-10*x-100)*ln(2)^2-x^6-8*x^5-17*x^4-8*x^3-16*x^2)/((x^4+x^2)*ln(x^2+1)^2+((-10*x^3-10*x)*ln(2)^2+2*x^5+8*x^4+2*x^3+8*x^2)*ln(x^2+1)+(25*x^2+25)*ln(2)^4+(-10*x^4-40*x^3-10*x^2-40*x)*ln(2)^2+x^6+8*x^5+17*x^4+8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{25 \ln \left(2\right)^{2}}{5 \ln \left(2\right)^{2}-x^{2}-\ln \left(x^{2}+1\right) x -4 x}$&$37$\\ norman&$\frac{x^{3}+\left(-5 \ln \left(2\right)^{2}-16\right) x +\ln \left(x^{2}+1\right) x^{2}-4 \ln \left(x^{2}+1\right) x -5 \ln \left(2\right)^{2}}{5 \ln \left(2\right)^{2}-x^{2}-\ln \left(x^{2}+1\right) x -4 x}$&$67$\\ \hline \end{longtable}"," ",0,"-x-25*ln(2)^2/(5*ln(2)^2-x^2-ln(x^2+1)*x-4*x)","A"
961,1,27,26,0.064000," ","int(((3*x^2-10*x)*ln(6)+2*x^4-2*x^3+5*x^2-4*x+1)/(ln(6)^2+(4*x^2-2*x)*ln(6)+4*x^4-4*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}+1-\frac{5 x}{2}+\frac{5 \ln \left(6\right)}{2}}{\ln \left(6\right)+2 x^{2}-x}$&$27$\\ gosper&$\frac{2 x^{3}+5 \ln \left(6\right)-5 x +2}{2 \ln \left(6\right)+4 x^{2}-2 x}$&$30$\\ default&$\frac{x}{2}-\frac{\left(\ln \left(6\right)+\frac{9}{2}\right) x -2-\frac{9 \ln \left(6\right)}{2}}{2 \left(\ln \left(6\right)+2 x^{2}-x \right)}$&$32$\\ risch&$\frac{x}{2}+\frac{\frac{\left(-\frac{9}{2}-\ln \left(2\right)-\ln \left(3\right)\right) x}{2}+\frac{9 \ln \left(3\right)}{4}+\frac{9 \ln \left(2\right)}{4}+1}{\ln \left(2\right)+\ln \left(3\right)+2 x^{2}-x}$&$44$\\ \hline \end{longtable}"," ",0,"(x^3+1-5/2*x+5/2*ln(6))/(ln(6)+2*x^2-x)","A"
962,1,28,27,0.223000," ","int((-8*ln(2)+(-24*x^2+2)*exp(3)^2+16*x^3+12)/(exp(3)^4-2*x*exp(3)^2+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{-8 x^{3}+2 \,{\mathrm e}^{6}-8 \ln \left(2\right)+12}{{\mathrm e}^{6}-x}$&$28$\\ norman&$\frac{-8 x^{3}+2 \,{\mathrm e}^{6}-8 \ln \left(2\right)+12}{{\mathrm e}^{6}-x}$&$29$\\ risch&$8 x \,{\mathrm e}^{6}+8 x^{2}-\frac{8 \,{\mathrm e}^{18}}{{\mathrm e}^{6}-x}+\frac{2 \,{\mathrm e}^{6}}{{\mathrm e}^{6}-x}-\frac{8 \ln \left(2\right)}{{\mathrm e}^{6}-x}+\frac{12}{{\mathrm e}^{6}-x}$&$58$\\ meijerg&$\frac{12 \,{\mathrm e}^{-12} x}{1-x \,{\mathrm e}^{-6}}-\frac{8 \ln \left(2\right) {\mathrm e}^{-12} x}{1-x \,{\mathrm e}^{-6}}+24 \,{\mathrm e}^{12} \left(-\frac{x \,{\mathrm e}^{-6} \left(-3 x \,{\mathrm e}^{-6}+6\right)}{3 \left(1-x \,{\mathrm e}^{-6}\right)}-2 \ln \left(1-x \,{\mathrm e}^{-6}\right)\right)+\frac{2 \,{\mathrm e}^{-6} x}{1-x \,{\mathrm e}^{-6}}+16 \,{\mathrm e}^{12} \left(\frac{x \,{\mathrm e}^{-6} \left(-2 x^{2} {\mathrm e}^{-12}-6 x \,{\mathrm e}^{-6}+12\right)}{4-4 x \,{\mathrm e}^{-6}}+3 \ln \left(1-x \,{\mathrm e}^{-6}\right)\right)$&$125$\\ \hline \end{longtable}"," ",0,"2*(-4*x^3+exp(3)^2-4*ln(2)+6)/(exp(3)^2-x)","A"
963,1,15,14,0.037000," ","int(((exp(x)+2)*exp(exp(x)+2*x)+8*ln(6))*exp(exp(exp(x)+2*x)+8*x*ln(6)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}+2 x}+8 x \ln \left(6\right)}$&$15$\\ default&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}+2 x}+8 x \ln \left(6\right)}$&$15$\\ norman&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}+2 x}+8 x \ln \left(6\right)}$&$15$\\ risch&$6561^{x} 256^{x} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}+2 x}}$&$16$\\ \hline \end{longtable}"," ",0,"exp(exp(exp(x)+2*x)+8*x*ln(6))","A"
964,1,18,18,0.042000," ","int((((-75*x^3+2)*ln(x)-75*x^4+2*x)*ln(x+ln(x))+150*x^3+150*x^2)/(75*x^3*ln(x)+75*x^4)/ln(x+ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\frac{1}{75 x^{2}}+2 \ln \left(\ln \left(x +\ln \left(x \right)\right)\right)$&$18$\\ risch&$-\frac{75 x^{3}+1}{75 x^{2}}+2 \ln \left(\ln \left(x +\ln \left(x \right)\right)\right)$&$22$\\ \hline \end{longtable}"," ",0,"-x-1/75/x^2+2*ln(ln(x+ln(x)))","A"
965,1,15,14,0.023000," ","int((4*x^4-2*x^2+x+1)/(x*ln(x)+x^5-x^3+x^2-84*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(x \right)+x^{4}-x^{2}+x -84\right)$&$15$\\ risch&$\ln \left(\ln \left(x \right)+x^{4}-x^{2}+x -84\right)$&$15$\\ \hline \end{longtable}"," ",0,"ln(ln(x)+x^4-x^2+x-84)","A"
966,1,93,23,0.033000," ","int(((12*x^7+324*x^6+3600*x^5+21000*x^4+67500*x^3+112500*x^2+75000*x)*ln(x)^3+(-48*x^6-1200*x^5-11904*x^4-58920*x^3-146400*x^2-147000*x)*ln(x)^2+(48*x^6+1284*x^5+14244*x^4+82968*x^3+265560*x^2+441000*x+300000)*ln(x)-192*x^5-4704*x^4-46572*x^3-232860*x^2-588000*x-600000)/(x^6+25*x^5+250*x^4+1250*x^3+3125*x^2+3125*x)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$6 x^{2}+24 x -\frac{6 \left(8 x^{5} \ln \left(x \right)+174 x^{4} \ln \left(x \right)-16 x^{4}+1496 x^{3} \ln \left(x \right)-312 x^{3}+6310 x^{2} \ln \left(x \right)-2321 x^{2}+12900 x \ln \left(x \right)-7800 x +10000 \ln \left(x \right)-10000\right)}{\left(x^{4}+20 x^{3}+150 x^{2}+500 x +625\right) \ln \left(x \right)^{2}}$&$93$\\ \hline \end{longtable}"," ",0,"6*x^2+24*x-6*(8*x^5*ln(x)+174*x^4*ln(x)-16*x^4+1496*x^3*ln(x)-312*x^3+6310*x^2*ln(x)-2321*x^2+12900*x*ln(x)-7800*x+10000*ln(x)-10000)/(x^4+20*x^3+150*x^2+500*x+625)/ln(x)^2","B"
967,1,14,15,0.020000," ","int((-4*exp(1)+8)/x^2/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \left({\mathrm e}-2\right) {\mathrm e}^{-4}}{x}$&$14$\\ norman&$\frac{4 \left({\mathrm e}-2\right) {\mathrm e}^{-4}}{x}$&$14$\\ default&$-\frac{4 \left(2-{\mathrm e}\right) {\mathrm e}^{-4}}{x}$&$16$\\ risch&$\frac{4 \,{\mathrm e}^{-4} {\mathrm e}}{x}-\frac{8 \,{\mathrm e}^{-4}}{x}$&$18$\\ \hline \end{longtable}"," ",0,"4*(exp(1)-2)/x/exp(4)","A"
968,1,18,19,0.096000," ","int((((-x-1)*exp(5)+2*x^2+2*x+1)*exp(x*exp(5)-x^2)+5)/(exp(x*exp(5)-x^2)^2+10*exp(x*exp(5)-x^2)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x +1}{5+{\mathrm e}^{x \left({\mathrm e}^{5}-x \right)}}$&$18$\\ norman&$\frac{x +1}{{\mathrm e}^{x \,{\mathrm e}^{5}-x^{2}}+5}$&$20$\\ \hline \end{longtable}"," ",0,"(x+1)/(5+exp(x*(exp(5)-x)))","A"
969,1,24,21,0.030000," ","int((x^2*ln(3)^2-4*x^3*ln(3)+3*x^4+x^2-2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{3}-2 x^{2} \ln \left(3\right)+x \ln \left(3\right)^{2}+x +\frac{2}{x}$&$24$\\ risch&$x^{3}-2 x^{2} \ln \left(3\right)+x \ln \left(3\right)^{2}+x +\frac{2}{x}$&$24$\\ norman&$\frac{x^{4}-2 x^{3} \ln \left(3\right)+\left(\ln \left(3\right)^{2}+1\right) x^{2}+2}{x}$&$27$\\ gosper&$\frac{x^{2} \ln \left(3\right)^{2}-2 x^{3} \ln \left(3\right)+x^{4}+x^{2}+2}{x}$&$28$\\ \hline \end{longtable}"," ",0,"x^3-2*x^2*ln(3)+x*ln(3)^2+x+2/x","A"
970,1,14,21,0.199000," ","int((-8*exp(2)*x+8*x^2-1)/(exp(2)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x^{2}+\ln \left(x -{\mathrm e}^{2}\right)$&$14$\\ norman&$-4 x^{2}+\ln \left({\mathrm e}^{2}-x \right)$&$14$\\ risch&$-4 x^{2}+\ln \left(x -{\mathrm e}^{2}\right)$&$14$\\ meijerg&$-8 \,{\mathrm e}^{4} \left(-x \,{\mathrm e}^{-2}-\ln \left(1-x \,{\mathrm e}^{-2}\right)\right)-8 \,{\mathrm e}^{4} \left(\frac{x \,{\mathrm e}^{-2} \left(3 x \,{\mathrm e}^{-2}+6\right)}{6}+\ln \left(1-x \,{\mathrm e}^{-2}\right)\right)+\ln \left(1-x \,{\mathrm e}^{-2}\right)$&$55$\\ \hline \end{longtable}"," ",0,"-4*x^2+ln(x-exp(2))","A"
971,1,119,28,0.074000," ","int((((x^15-51*x^14+1206*x^13-17526*x^12+174861*x^11-1267047*x^10+6876012*x^9-28389312*x^8+89609472*x^7-215183872*x^6+386967552*x^5-505331712*x^4+452984832*x^3-249495552*x^2+63700992*x)*exp(1/2*x)*ln(x)+x^14-51*x^13+1206*x^12-17526*x^11+174861*x^10-1267047*x^9+6876012*x^8-28389312*x^7+89609472*x^6-215183872*x^5+386967552*x^4-505331712*x^3+452984832*x^2-249495552*x+63700992)*exp(exp(1/2*x))^2+(((2*x^10-58*x^9+734*x^8-5294*x^7+23800*x^6-68288*x^5+122112*x^4-124416*x^3+55296*x^2)*exp(1/2*x)-20*x^9+492*x^8-5116*x^7+28916*x^6-94224*x^5+168064*x^4-118272*x^3-64512*x^2+110592*x)*ln(x)+4*x^9-116*x^8+1468*x^7-10588*x^6+47600*x^5-136576*x^4+244224*x^3-248832*x^2+110592*x)*exp(exp(1/2*x))+(-40*x^4+104*x^3+96*x^2)*ln(x)+4*x^4-28*x^3+48*x^2)/(x^15-51*x^14+1206*x^13-17526*x^12+174861*x^11-1267047*x^10+6876012*x^9-28389312*x^8+89609472*x^7-215183872*x^6+386967552*x^5-505331712*x^4+452984832*x^3-249495552*x^2+63700992*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x^{2} \ln \left(x \right)}{x^{12}-44 x^{11}+886 x^{10}-10796 x^{9}+88657 x^{8}-516896 x^{7}+2193856 x^{6}-6829568 x^{5}+15476224 x^{4}-24895488 x^{3}+26984448 x^{2}-17694720 x +5308416}+\ln \left(x \right) {\mathrm e}^{2 \,{\mathrm e}^{\frac{x}{2}}}+\frac{4 x \ln \left(x \right) {\mathrm e}^{{\mathrm e}^{\frac{x}{2}}}}{x^{6}-22 x^{5}+201 x^{4}-976 x^{3}+2656 x^{2}-3840 x +2304}$&$119$\\ \hline \end{longtable}"," ",0,"4*x^2/(x^12-44*x^11+886*x^10-10796*x^9+88657*x^8-516896*x^7+2193856*x^6-6829568*x^5+15476224*x^4-24895488*x^3+26984448*x^2-17694720*x+5308416)*ln(x)+ln(x)*exp(2*exp(1/2*x))+4*x/(x^6-22*x^5+201*x^4-976*x^3+2656*x^2-3840*x+2304)*ln(x)*exp(exp(1/2*x))","B"
972,1,27,27,0.042000," ","int((((6*x-3)*exp(5)*ln(x)+(6*x-3)*exp(5)+24*x-12)*ln((2*x-1)*ln(2))+6*x*exp(5)*ln(x)+24*x+78)/((2*x^3-x^2)*exp(5)^2*ln(x)^2+(16*x^3+44*x^2-26*x)*exp(5)*ln(x)+32*x^3+192*x^2+234*x-169)/ln((2*x-1)*ln(2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3}{\left(x \,{\mathrm e}^{5} \ln \left(x \right)+4 x +13\right) \ln \left(\left(2 x -1\right) \ln \left(2\right)\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-3/(x*exp(5)*ln(x)+4*x+13)/ln((2*x-1)*ln(2))","A"
973,1,7,7,0.011000," ","int(1/2*(11*x+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{11 x}{2}+\ln \left(x \right)$&$7$\\ norman&$\frac{11 x}{2}+\ln \left(x \right)$&$7$\\ risch&$\frac{11 x}{2}+\ln \left(x \right)$&$7$\\ \hline \end{longtable}"," ",0,"11/2*x+ln(x)","A"
974,1,25,24,0.107000," ","int(((-2*exp(1)+x^3)*ln(1/3*exp(2)/x^2)+10*exp(1)-5*x^3+2*x^2)/(x^3*ln(1/3*exp(2)/x^2)-5*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}+{\mathrm e}}{x^{2}}-\ln \left(\ln \left(\frac{{\mathrm e}^{2}}{3 x^{2}}\right)-5\right)$&$25$\\ risch&$\frac{x^{3}+{\mathrm e}}{x^{2}}-\ln \left(\ln \left(\frac{{\mathrm e}^{2}}{3 x^{2}}\right)-5\right)$&$25$\\ \hline \end{longtable}"," ",0,"(x^3+exp(1))/x^2-ln(ln(1/3*exp(2)/x^2)-5)","A"
975,0,0,19,0.049000," ","int(((4*exp(x)+3*ln(2/5)+6)*exp(1/3*ln(exp(x)+ln(2/5)+2)+x)+(-3*exp(x)-3*ln(2/5)-6)*ln(x)-3*exp(x)-3*ln(2/5)-6)/(3*exp(x)+3*ln(2/5)+6),x)","\[\int \frac{\left(4 \,{\mathrm e}^{x}+3 \ln \left(\frac{2}{5}\right)+6\right) {\mathrm e}^{\frac{\ln \left({\mathrm e}^{x}+\ln \left(\frac{2}{5}\right)+2\right)}{3}+x}+\left(-3 \,{\mathrm e}^{x}-3 \ln \left(\frac{2}{5}\right)-6\right) \ln \left(x \right)-3 \,{\mathrm e}^{x}-3 \ln \left(\frac{2}{5}\right)-6}{3 \,{\mathrm e}^{x}+3 \ln \left(\frac{2}{5}\right)+6}\, dx\]"," ",0,"int(((4*exp(x)+3*ln(2/5)+6)*exp(1/3*ln(exp(x)+ln(2/5)+2)+x)+(-3*exp(x)-3*ln(2/5)-6)*ln(x)-3*exp(x)-3*ln(2/5)-6)/(3*exp(x)+3*ln(2/5)+6),x)","F"
976,1,25,27,0.107000," ","int(((3*x*ln(2)+x)*ln(3)*ln(20*x)+(-9*x^3*ln(2)^2+(-6*x^3+30*x^2-3*x)*ln(2)-x^3+10*x^2-26*x+5)*ln(3))/(9*x^3*ln(2)^2+(6*x^3-30*x^2)*ln(2)+x^3-10*x^2+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(3\right) \ln \left(20 x \right)}{3 x \ln \left(2\right)+x -5}-x \ln \left(3\right)$&$25$\\ norman&$\frac{-\ln \left(3\right) \ln \left(20 x \right)+\left(-3 \ln \left(2\right) \ln \left(3\right)-\ln \left(3\right)\right) x^{2}+5 x \ln \left(3\right)}{3 x \ln \left(2\right)+x -5}$&$41$\\ derivativedivides&$\frac{\ln \left(3\right) \left(\frac{12 \ln \left(2\right) \ln \left(-100+20 \left(3 \ln \left(2\right)+1\right) x \right)}{3 \ln \left(2\right)+1}-\frac{240 \ln \left(2\right) \ln \left(20 x \right) x}{60 x \ln \left(2\right)+20 x -100}+\frac{4 \ln \left(-100+20 \left(3 \ln \left(2\right)+1\right) x \right)}{3 \ln \left(2\right)+1}-\frac{80 \ln \left(20 x \right) x}{60 x \ln \left(2\right)+20 x -100}-20 x -\frac{12 \ln \left(60 x \ln \left(2\right)+20 x -100\right) \ln \left(2\right)}{3 \ln \left(2\right)+1}-\frac{4 \ln \left(60 x \ln \left(2\right)+20 x -100\right)}{3 \ln \left(2\right)+1}+4 \ln \left(20 x \right)\right)}{20}$&$145$\\ default&$\frac{\ln \left(3\right) \left(\frac{12 \ln \left(2\right) \ln \left(-100+20 \left(3 \ln \left(2\right)+1\right) x \right)}{3 \ln \left(2\right)+1}-\frac{240 \ln \left(2\right) \ln \left(20 x \right) x}{60 x \ln \left(2\right)+20 x -100}+\frac{4 \ln \left(-100+20 \left(3 \ln \left(2\right)+1\right) x \right)}{3 \ln \left(2\right)+1}-\frac{80 \ln \left(20 x \right) x}{60 x \ln \left(2\right)+20 x -100}-20 x -\frac{12 \ln \left(60 x \ln \left(2\right)+20 x -100\right) \ln \left(2\right)}{3 \ln \left(2\right)+1}-\frac{4 \ln \left(60 x \ln \left(2\right)+20 x -100\right)}{3 \ln \left(2\right)+1}+4 \ln \left(20 x \right)\right)}{20}$&$145$\\ \hline \end{longtable}"," ",0,"-ln(3)/(3*x*ln(2)+x-5)*ln(20*x)-x*ln(3)","A"
977,1,22,28,0.043000," ","int(((34*x^2+x-1)*exp(x)*exp(17*x^2)+2*x^3+3)/(exp(x)^2*exp(17*x^2)^2+(2*x^3+6*x-6)*exp(x)*exp(17*x^2)+x^6+6*x^4-6*x^3+9*x^2-18*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{x^{3}+{\mathrm e}^{x \left(17 x +1\right)}+3 x -3}$&$22$\\ \hline \end{longtable}"," ",0,"-x/(x^3+exp(x*(17*x+1))+3*x-3)","A"
978,1,36,36,0.106000," ","int(((162*x^2+405)*exp(x)^2+(162*x^3-108*x^2+594*x+270)*exp(x)+189*x^2+406*x-364)/(19683*exp(x)^4+(78732*x-52488)*exp(x)^3+(118098*x^2-157464*x+54432)*exp(x)^2+(78732*x^3-157464*x^2+108864*x-25920)*exp(x)+19683*x^4-52488*x^3+54432*x^2-25920*x+4800),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}+x +3}{3 \left(81 \,{\mathrm e}^{2 x}+162 \,{\mathrm e}^{x} x +81 x^{2}-108 \,{\mathrm e}^{x}-108 x +40\right)}$&$36$\\ norman&$\frac{-\frac{1}{3} x -\frac{1}{3} x^{2}-1}{81 \,{\mathrm e}^{2 x}+162 \,{\mathrm e}^{x} x +81 x^{2}-108 \,{\mathrm e}^{x}-108 x +40}$&$39$\\ \hline \end{longtable}"," ",0,"-1/3*(x^2+x+3)/(81*exp(2*x)+162*exp(x)*x+81*x^2-108*exp(x)-108*x+40)","A"
979,1,28,16,0.141000," ","int(1/64*(-x-6)*exp(1/64*(128*x^6*ln(5)^2*exp(x)+1)/x^6/ln(5)^2/exp(x))/x^7/ln(5)^2/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{\left(128 x^{6} \ln \left(5\right)^{2} {\mathrm e}^{x}+1\right) {\mathrm e}^{-x}}{64 x^{6} \ln \left(5\right)^{2}}}$&$28$\\ risch&${\mathrm e}^{\frac{\left(128 x^{6} \ln \left(5\right)^{2} {\mathrm e}^{x}+1\right) {\mathrm e}^{-x}}{64 x^{6} \ln \left(5\right)^{2}}}$&$28$\\ \hline \end{longtable}"," ",0,"exp(1/64*(128*x^6*ln(5)^2*exp(x)+1)/x^6/ln(5)^2/exp(x))","A"
980,1,34,34,0.030000," ","int(((5*x^3-5*x+10)*exp(x)-5*x*ln(2)-10*exp(4)+6*x^3-5*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(5 \ln \left(2\right)+5\right) x +6 x^{3}+5 \,{\mathrm e}^{x} x^{2}+5 \,{\mathrm e}^{4}-5 \,{\mathrm e}^{x}}{x^{2}}$&$34$\\ risch&$6 x +\frac{\left(5 \ln \left(2\right)+5\right) x +5 \,{\mathrm e}^{4}}{x^{2}}+\frac{5 \left(x^{2}-1\right) {\mathrm e}^{x}}{x^{2}}$&$34$\\ default&$6 x +\frac{5}{x}+\frac{5 \,{\mathrm e}^{4}}{x^{2}}-\frac{5 \,{\mathrm e}^{x}}{x^{2}}+\frac{5 \ln \left(2\right)}{x}+5 \,{\mathrm e}^{x}$&$35$\\ \hline \end{longtable}"," ",0,"((5*ln(2)+5)*x+6*x^3+5*exp(x)*x^2+5*exp(4)-5*exp(x))/x^2","A"
981,1,32,23,0.096000," ","int(1/8*((9*x+36)*exp(4/x)*ln(2*ln(2)/x)+(-27*x-144)*exp(4/x))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{9 x \,{\mathrm e}^{\frac{4}{x}}}{2}-\frac{9 x \,{\mathrm e}^{\frac{4}{x}} \ln \left(\frac{2 \ln \left(2\right)}{x}\right)}{8}}{x^{2}}$&$32$\\ risch&$\frac{9 \,{\mathrm e}^{\frac{4}{x}} \ln \left(x \right)}{8 x}-\frac{9 \left(-8+2 \ln \left(2\right)+2 \ln \left(\ln \left(2\right)\right)\right) {\mathrm e}^{\frac{4}{x}}}{16 x}$&$37$\\ default&$\frac{\left(36-9 \ln \left(\frac{2 \ln \left(2\right)}{x}\right)-9 \ln \left(x \right)\right) x \,{\mathrm e}^{\frac{4}{x}}+9 x \,{\mathrm e}^{\frac{4}{x}} \ln \left(x \right)}{8 x^{2}}$&$42$\\ \hline \end{longtable}"," ",0,"(9/2*x*exp(4/x)-9/8*x*exp(4/x)*ln(2*ln(2)/x))/x^2","A"
982,1,10,9,0.028000," ","int(10*ln(24/x^2)-20,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$10 \ln \left(\frac{24}{x^{2}}\right) x$&$10$\\ risch&$10 \ln \left(\frac{24}{x^{2}}\right) x$&$10$\\ derivativedivides&$10 \ln \left(24\right) x +10 x \ln \left(\frac{1}{x^{2}}\right)$&$14$\\ default&$10 \ln \left(24\right) x +10 x \ln \left(\frac{1}{x^{2}}\right)$&$14$\\ \hline \end{longtable}"," ",0,"10*ln(24/x^2)*x","A"
983,1,15,24,0.025000," ","int(2*x/ln(2*exp(ln(2)^2-4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}}{\ln \left(2\right)+\ln \left(2\right)^{2}-4}$&$15$\\ risch&$\frac{x^{2}}{\ln \left(2\right)+\ln \left(2\right)^{2}-4}$&$15$\\ gosper&$\frac{x^{2}}{\ln \left(2 \,{\mathrm e}^{\ln \left(2\right)^{2}-4}\right)}$&$17$\\ default&$\frac{x^{2}}{\ln \left(2 \,{\mathrm e}^{\ln \left(2\right)^{2}-4}\right)}$&$17$\\ \hline \end{longtable}"," ",0,"1/(ln(2)+ln(2)^2-4)*x^2","A"
984,1,31,24,0.032000," ","int(((-5*x*ln(x)^3+(-10*x-20)*ln(x)^2+(-10*x^2-10*x)*ln(x))*ln(ln(x))+20*x*ln(x)^3+(35*x+70)*ln(x)^2+(40*x^2+40*x)*ln(x)-5*x^2-10*x)/(((x^3+4*x^2+4*x)*ln(x)^5+(2*x^4+8*x^3+8*x^2)*ln(x)^3+(x^5+4*x^4+4*x^3)*ln(x))*ln(ln(x))^2+((-8*x^3-32*x^2-32*x)*ln(x)^5+(-16*x^4-64*x^3-64*x^2)*ln(x)^3+(-8*x^5-32*x^4-32*x^3)*ln(x))*ln(ln(x))+(16*x^3+64*x^2+64*x)*ln(x)^5+(32*x^4+128*x^3+128*x^2)*ln(x)^3+(16*x^5+64*x^4+64*x^3)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{\left(x \ln \left(x \right)^{2}+x^{2}+2 \ln \left(x \right)^{2}+2 x \right) \left(\ln \left(\ln \left(x \right)\right)-4\right)}$&$31$\\ \hline \end{longtable}"," ",0,"5/(x*ln(x)^2+x^2+2*ln(x)^2+2*x)/(ln(ln(x))-4)","A"
985,1,22,24,0.030000," ","int((16*exp(4/x)+x^2*exp(4)+8*x^3+2*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$4 x^{2}+2 x +x \,{\mathrm e}^{4}-4 \,{\mathrm e}^{\frac{4}{x}}$&$22$\\ default&$4 x^{2}+2 x +x \,{\mathrm e}^{4}-4 \,{\mathrm e}^{\frac{4}{x}}$&$22$\\ risch&$4 x^{2}+2 x +x \,{\mathrm e}^{4}-4 \,{\mathrm e}^{\frac{4}{x}}$&$22$\\ norman&$\frac{\left(2+{\mathrm e}^{4}\right) x^{2}+4 x^{3}-4 x \,{\mathrm e}^{\frac{4}{x}}}{x}$&$28$\\ \hline \end{longtable}"," ",0,"4*x^2+2*x+x*exp(4)-4*exp(4/x)","A"
986,1,12,11,0.025000," ","int(900*x*exp(5)*ln(1/2*x)+450*x*exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$450 x^{2} {\mathrm e}^{5} \ln \left(\frac{x}{2}\right)$&$12$\\ default&$450 x^{2} {\mathrm e}^{5} \ln \left(\frac{x}{2}\right)$&$12$\\ norman&$450 x^{2} {\mathrm e}^{5} \ln \left(\frac{x}{2}\right)$&$12$\\ risch&$450 x^{2} {\mathrm e}^{5} \ln \left(\frac{x}{2}\right)$&$12$\\ \hline \end{longtable}"," ",0,"450*x^2*exp(5)*ln(1/2*x)","A"
987,1,67,35,0.074000," ","int((((-6*x^3-1)*ln(x)^2+(-2*x^5+16*x^4+24*x^3-2*x^2-2*x)*ln(x)+6*x^5-57*x^4+10*x^3-16*x^2+10*x)*exp((-x^3*ln(x)+4*x^3-5*x)/(ln(x)+x^2-4*x))^2+(-6*x^4*ln(x)^2+(-2*x^6+16*x^5+24*x^4-10*x^2)*ln(x)+6*x^6-56*x^5+2*x^4+10*x^2)*exp((-x^3*ln(x)+4*x^3-5*x)/(ln(x)+x^2-4*x))+2*x^2*ln(x)^2+(4*x^4-16*x^3)*ln(x)+2*x^6-16*x^5+32*x^4)/(x^2*ln(x)^2+(2*x^4-8*x^3)*ln(x)+x^6-8*x^5+16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{{\mathrm e}^{-\frac{2 x \left(x^{2} \ln \left(x \right)-4 x^{2}+5\right)}{\ln \left(x \right)+x^{2}-4 x}}}{x}+2 \,{\mathrm e}^{-\frac{x \left(x^{2} \ln \left(x \right)-4 x^{2}+5\right)}{\ln \left(x \right)+x^{2}-4 x}}$&$67$\\ \hline \end{longtable}"," ",0,"2*x+1/x*exp(-2*x*(x^2*ln(x)-4*x^2+5)/(ln(x)+x^2-4*x))+2*exp(-x*(x^2*ln(x)-4*x^2+5)/(ln(x)+x^2-4*x))","A"
988,1,19,12,0.155000," ","int(((15*x+45)*exp(1)*ln(3+x)+(15*x+15)*exp(1))/(3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$15 \,{\mathrm e} \ln \left(3+x \right)+15 x \,{\mathrm e} \ln \left(3+x \right)$&$19$\\ risch&$15 \,{\mathrm e} \ln \left(3+x \right)+15 x \,{\mathrm e} \ln \left(3+x \right)$&$19$\\ derivativedivides&$15 \,{\mathrm e} \left(\left(3+x \right) \ln \left(3+x \right)-3-x \right)+15 \left(3+x \right) {\mathrm e}-30 \,{\mathrm e} \ln \left(3+x \right)$&$34$\\ default&$15 \,{\mathrm e} \left(\left(3+x \right) \ln \left(3+x \right)-3-x \right)+15 \left(3+x \right) {\mathrm e}-30 \,{\mathrm e} \ln \left(3+x \right)$&$34$\\ \hline \end{longtable}"," ",0,"15*exp(1)*ln(3+x)+15*x*exp(1)*ln(3+x)","A"
989,1,7,6,0.017000," ","int(-3/4*exp(1-3/4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{1-\frac{3 x}{4}}$&$7$\\ derivativedivides&${\mathrm e}^{1-\frac{3 x}{4}}$&$7$\\ default&${\mathrm e}^{1-\frac{3 x}{4}}$&$7$\\ norman&${\mathrm e}^{1-\frac{3 x}{4}}$&$7$\\ risch&${\mathrm e}^{1-\frac{3 x}{4}}$&$7$\\ meijerg&$-{\mathrm e} \left(1-{\mathrm e}^{-\frac{3 x}{4}}\right)$&$13$\\ \hline \end{longtable}"," ",0,"exp(1-3/4*x)","A"
990,1,69,31,0.238000," ","int(((2*x-8)*exp(x)*ln(x^2-8*x+16)*ln(ln(x^2-8*x+16))+((2*x-8)*exp(x)*ln(x)+(-12*x+48)*exp(x)-12*x^2+36*x+48)*ln(x^2-8*x+16)-4*exp(x)*x)/(x^3-4*x^2)/exp(x)/ln(x^2-8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \ln \left(2 \ln \left(x -4\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \left(x -4\right)^{2}\right) \left(-\mathrm{csgn}\left(i \left(x -4\right)^{2}\right)+\mathrm{csgn}\left(i \left(x -4\right)\right)\right)^{2}}{2}\right)}{x}-\frac{2 \left({\mathrm e}^{x} \ln \left(x \right)-5 \,{\mathrm e}^{x}-6\right) {\mathrm e}^{-x}}{x}$&$69$\\ \hline \end{longtable}"," ",0,"-2/x*ln(2*ln(x-4)-1/2*I*Pi*csgn(I*(x-4)^2)*(-csgn(I*(x-4)^2)+csgn(I*(x-4)))^2)-2*(exp(x)*ln(x)-5*exp(x)-6)/x*exp(-x)","C"
991,1,15,18,0.028000," ","int(1/3*((exp(x)*x^3+2*x^2)*exp(exp(x))+3*x-3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\frac{{\mathrm e}^{{\mathrm e}^{x}} x^{2}}{3}-\ln \left(x \right)$&$15$\\ risch&$x +\frac{{\mathrm e}^{{\mathrm e}^{x}} x^{2}}{3}-\ln \left(x \right)$&$15$\\ \hline \end{longtable}"," ",0,"x+1/3*exp(exp(x))*x^2-ln(x)","A"
992,1,29,23,0.025000," ","int((-ln(x)^2+(-2*x^2+2)*ln(x)+3*x^4-2*x^3-2*x^2)*exp((ln(x)^2-2*x^2*ln(x)+x^4-x^3+11*x)/x)*exp(exp((ln(x)^2-2*x^2*ln(x)+x^4-x^3+11*x)/x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{-2 x} {\mathrm e}^{\frac{x^{4}-x^{3}+\ln \left(x \right)^{2}+11 x}{x}}}$&$29$\\ \hline \end{longtable}"," ",0,"exp(x^(-2*x)*exp((x^4-x^3+ln(x)^2+11*x)/x))","A"
993,1,20,22,0.019000," ","int(-75/2*x^2*ln(2)-30*x^2-15*x-1/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-\frac{25 \ln \left(2\right)}{2}-10\right) x^{3}-\frac{x}{2}-\frac{15 x^{2}}{2}$&$20$\\ gosper&$-\frac{x \left(25 x^{2} \ln \left(2\right)+20 x^{2}+15 x +1\right)}{2}$&$21$\\ default&$-\frac{25 x^{3} \ln \left(2\right)}{2}-10 x^{3}-\frac{15 x^{2}}{2}-\frac{x}{2}$&$22$\\ risch&$-\frac{25 x^{3} \ln \left(2\right)}{2}-10 x^{3}-\frac{15 x^{2}}{2}-\frac{x}{2}$&$22$\\ \hline \end{longtable}"," ",0,"(-25/2*ln(2)-10)*x^3-1/2*x-15/2*x^2","A"
994,1,12,21,0.021000," ","int((exp(1)+4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{{\mathrm e}}{x}+4 x$&$12$\\ risch&$-\frac{{\mathrm e}}{x}+4 x$&$12$\\ gosper&$-\frac{-4 x^{2}+{\mathrm e}}{x}$&$14$\\ norman&$\frac{4 x^{2}-{\mathrm e}}{x}$&$15$\\ \hline \end{longtable}"," ",0,"-exp(1)/x+4*x","A"
995,1,34,21,0.020000," ","int((-2*x-3)*ln(5)^2+(2*x+3)*exp(2)-3*x^2-6*x+6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \left(-x \ln \left(5\right)^{2}+{\mathrm e}^{2} x -3 \ln \left(5\right)^{2}-x^{2}+3 \,{\mathrm e}^{2}-3 x +6\right)$&$34$\\ norman&$-x^{3}+\left(-\ln \left(5\right)^{2}+{\mathrm e}^{2}-3\right) x^{2}+\left(-3 \ln \left(5\right)^{2}+3 \,{\mathrm e}^{2}+6\right) x$&$35$\\ default&$\ln \left(5\right)^{2} \left(-x^{2}-3 x \right)+{\mathrm e}^{2} \left(x^{2}+3 x \right)-x^{3}-3 x^{2}+6 x$&$39$\\ risch&$-x^{2} \ln \left(5\right)^{2}-3 x \ln \left(5\right)^{2}+x^{2} {\mathrm e}^{2}+3 \,{\mathrm e}^{2} x -x^{3}-3 x^{2}+6 x$&$42$\\ \hline \end{longtable}"," ",0,"x*(-x*ln(5)^2+exp(2)*x-3*ln(5)^2-x^2+3*exp(2)-3*x+6)","A"
996,1,38,19,0.046000," ","int(((27*x^2-108*x+72)*exp(x)^2+(63*x^2+18*x-120)*exp(x)+12*x^2+60*x+50)/((9*x^2-36*x+36)*exp(x)^2+(12*x^2+6*x-60)*exp(x)+4*x^2+20*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x +\frac{4}{x -2}-\frac{9 x^{2}}{\left(x -2\right) \left(3 \,{\mathrm e}^{x} x -6 \,{\mathrm e}^{x}+2 x +5\right)}$&$38$\\ norman&$\frac{30 \,{\mathrm e}^{x}-27 \,{\mathrm e}^{x} x +6 x^{2}+9 \,{\mathrm e}^{x} x^{2}-25}{3 \,{\mathrm e}^{x} x -6 \,{\mathrm e}^{x}+2 x +5}$&$41$\\ \hline \end{longtable}"," ",0,"3*x+4/(x-2)-9*x^2/(x-2)/(3*exp(x)*x-6*exp(x)+2*x+5)","A"
997,1,29,23,0.078000," ","int((3*exp(x)^4+6*exp(x)^3+(-32*x+4)*exp(x)^2+(-31*x+1)*exp(x)+75*x^2)/(3*x*exp(x)^4+6*x*exp(x)^3+(-30*x^2+4*x)*exp(x)^2+(-30*x^2+x)*exp(x)+75*x^3-5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left({\mathrm e}^{2 x}-5 x +{\mathrm e}^{x}+\frac{1}{3}\right)-\ln \left({\mathrm e}^{2 x}-5 x +{\mathrm e}^{x}\right)$&$29$\\ norman&$-\ln \left(-{\mathrm e}^{2 x}+5 x -{\mathrm e}^{x}\right)+\ln \left(x \right)+\ln \left(-3 \,{\mathrm e}^{2 x}+15 x -3 \,{\mathrm e}^{x}-1\right)$&$37$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(exp(2*x)-5*x+exp(x)+1/3)-ln(exp(2*x)-5*x+exp(x))","A"
998,1,275,25,0.217000," ","int(((ln(x/exp(4))+1)*ln(x)*ln((-4*ln(x/exp(4))-4)/ln(x))-ln(1/2*x)*ln(x)+(ln(x/exp(4))+1)*ln(1/2*x))/(x*ln(x/exp(4))+x)/ln(x)/ln((-4*ln(x/exp(4))-4)/ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \ln \left(2\right)-2 \ln \left(x \right)}{2 \ln \left(2\right)+i \pi -2 \ln \left(\ln \left(x \right)\right)+2 \ln \left(-6 i+2 i \ln \left(x \right)\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(-6 i+2 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(-6 i+2 i \ln \left(x \right)\right)}{\ln \left(x \right)}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(-6 i+2 i \ln \left(x \right)\right)}{\ln \left(x \right)}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(-6 i+2 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(-6 i+2 i \ln \left(x \right)\right)}{\ln \left(x \right)}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \left(-6 i+2 i \ln \left(x \right)\right)}{\ln \left(x \right)}\right)^{3}-i \pi  \,\mathrm{csgn}\left(\frac{i \left(-6 i+2 i \ln \left(x \right)\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{-6 i+2 i \ln \left(x \right)}{\ln \left(x \right)}\right)-i \pi  \mathrm{csgn}\left(\frac{-6 i+2 i \ln \left(x \right)}{\ln \left(x \right)}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i \left(-6 i+2 i \ln \left(x \right)\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{-6 i+2 i \ln \left(x \right)}{\ln \left(x \right)}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{-6 i+2 i \ln \left(x \right)}{\ln \left(x \right)}\right)^{3}}$&$275$\\ \hline \end{longtable}"," ",0,"-(2*ln(2)-2*ln(x))/(2*ln(2)+I*Pi-2*ln(ln(x))+2*ln(-6*I+2*I*ln(x))-I*Pi*csgn(I/ln(x))*csgn(I*(-6*I+2*I*ln(x)))*csgn(I/ln(x)*(-6*I+2*I*ln(x)))+I*Pi*csgn(I/ln(x))*csgn(I/ln(x)*(-6*I+2*I*ln(x)))^2+I*Pi*csgn(I*(-6*I+2*I*ln(x)))*csgn(I/ln(x)*(-6*I+2*I*ln(x)))^2-I*Pi*csgn(I/ln(x)*(-6*I+2*I*ln(x)))^3-I*Pi*csgn(I/ln(x)*(-6*I+2*I*ln(x)))*csgn(1/ln(x)*(-6*I+2*I*ln(x)))-I*Pi*csgn(1/ln(x)*(-6*I+2*I*ln(x)))^2+I*Pi*csgn(I/ln(x)*(-6*I+2*I*ln(x)))*csgn(1/ln(x)*(-6*I+2*I*ln(x)))^2+I*Pi*csgn(1/ln(x)*(-6*I+2*I*ln(x)))^3)","C"
999,1,16,15,0.024000," ","int((-exp(x)*exp(exp(x))+1-2*x)*exp(-exp(exp(x))+exp(4)-x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{4}-x^{2}+x}$&$16$\\ default&${\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{4}-x^{2}+x}$&$16$\\ norman&${\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{4}-x^{2}+x}$&$16$\\ risch&${\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{4}-x^{2}+x}$&$16$\\ \hline \end{longtable}"," ",0,"exp(-exp(exp(x))+exp(4)-x^2+x)","A"
1000,1,57,28,0.133000," ","int((((-8*x+4)*exp(4)+(x^3-2*x^2+x)*exp(2))*ln(x*ln(2))^2+(-8*exp(4)+(4*x^2-4*x)*exp(2))*ln(x*ln(2))+8*exp(4)+4*exp(2)*x)/((x^4-2*x^3+x^2)*exp(2)*ln(x*ln(2))^2+(4*x^3-4*x^2)*exp(2)*ln(x*ln(2))+4*x^2*exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} \ln \left(x \right)-x \ln \left(x \right)+4 \,{\mathrm e}^{2}}{x \left(x -1\right)}-\frac{8 \,{\mathrm e}^{2}}{x \left(x -1\right) \left(x \ln \left(x \ln \left(2\right)\right)-\ln \left(x \ln \left(2\right)\right)+2\right)}$&$57$\\ norman&$\frac{-\ln \left(x \ln \left(2\right)\right)^{2} x +\ln \left(x \ln \left(2\right)\right)^{2} x^{2}+2 x \ln \left(x \ln \left(2\right)\right)+4 \,{\mathrm e}^{-2} {\mathrm e}^{4} \ln \left(x \ln \left(2\right)\right)}{x \left(x \ln \left(x \ln \left(2\right)\right)-\ln \left(x \ln \left(2\right)\right)+2\right)}$&$66$\\ \hline \end{longtable}"," ",0,"(x^2*ln(x)-x*ln(x)+4*exp(2))/x/(x-1)-8*exp(2)/x/(x-1)/(x*ln(x*ln(2))-ln(x*ln(2))+2)","A"
1001,1,24,21,0.049000," ","int((((-2*x^3-2*x^2-2*x)*ln(x^2+x+1)+(-x^2-x-1)*exp(3))*ln(2*x*ln(x^2+x+1)+exp(3))*ln(ln(2*x*ln(x^2+x+1)+exp(3)))+((-2*x^3-2*x^2-2*x)*ln(x^2+x+1)+(-x^2-x-1)*exp(3))*ln(2*x*ln(x^2+x+1)+exp(3))+(2*x^3+2*x^2+2*x)*ln(x^2+x+1)+4*x^3+2*x^2)/((2*x^5+2*x^4+2*x^3)*ln(x^2+x+1)+(x^4+x^3+x^2)*exp(3))/ln(2*x*ln(x^2+x+1)+exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(2 x \ln \left(x^{2}+x +1\right)+{\mathrm e}^{3}\right)\right)}{x}+\frac{1}{x}$&$24$\\ \hline \end{longtable}"," ",0,"1/x*ln(ln(2*x*ln(x^2+x+1)+exp(3)))+1/x","A"
1002,1,36,23,0.051000," ","int(((250*x-175)*ln(x/exp(1))^2-125*ln(x/exp(1))+125)/((150*x^4-420*x^3+294*x^2)*ln(x/exp(1))^2+(-300*x^3+420*x^2)*ln(x/exp(1))+150*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{25 \ln \left({\mathrm e}^{-1} x \right)}{6 x \left(5 \ln \left({\mathrm e}^{-1} x \right) x -7 \ln \left({\mathrm e}^{-1} x \right)-5\right)}$&$36$\\ risch&$-\frac{25}{6 x \left(5 x -7\right)}-\frac{125}{6 x \left(5 x -7\right) \left(5 \ln \left({\mathrm e}^{-1} x \right) x -7 \ln \left({\mathrm e}^{-1} x \right)-5\right)}$&$45$\\ \hline \end{longtable}"," ",0,"-25/6*ln(x/exp(1))/x/(5*ln(x/exp(1))*x-7*ln(x/exp(1))-5)","A"
1003,1,28,27,0.075000," ","int((((-exp(4)*ln(x)+(x-4)*exp(4))*ln(-ln(x)+x-4)-x*exp(4)*ln(x)+(x^2-4*x)*exp(4))*ln(ln(-ln(x)+x-4)+x)+((-3*x^2+5)*exp(4)*ln(x)+(3*x^3-12*x^2-5*x+20)*exp(4))*ln(-ln(x)+x-4)+(-3*x^3+4*x)*exp(4)*ln(x)+(3*x^4-12*x^3-4*x^2+17*x-1)*exp(4))/((ln(x)-x+4)*ln(-ln(x)+x-4)+x*ln(x)-x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{4} \ln \left(\ln \left(-\ln \left(x \right)+x -4\right)+x \right)-{\mathrm e}^{4} x \left(x^{2}-5\right)$&$28$\\ \hline \end{longtable}"," ",0,"-x*exp(4)*ln(ln(-ln(x)+x-4)+x)-exp(4)*x*(x^2-5)","A"
1004,1,21,24,0.025000," ","int(((x*exp(4+x)-8*x^2-1)*ln(x)^2-5)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5}{\ln \left(x \right)}-4 x^{2}-\ln \left(x \right)+{\mathrm e}^{4+x}$&$21$\\ risch&$\frac{5}{\ln \left(x \right)}-4 x^{2}-\ln \left(x \right)+{\mathrm e}^{4+x}$&$21$\\ norman&$\frac{5+{\mathrm e}^{4+x} \ln \left(x \right)-4 x^{2} \ln \left(x \right)}{\ln \left(x \right)}-\ln \left(x \right)$&$27$\\ \hline \end{longtable}"," ",0,"5/ln(x)-4*x^2-ln(x)+exp(4+x)","A"
1005,1,93,32,0.184000," ","int(-64/3*exp(1/3*(ln(2)+I*Pi)^2+1/3*x)^4+128*ln(2)*exp(1/3*(ln(2)+I*Pi)^2+1/3*x)^3-256*ln(2)^2*exp(1/3*(ln(2)+I*Pi)^2+1/3*x)^2+512/3*ln(2)^3*exp(1/3*(ln(2)+I*Pi)^2+1/3*x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -16 \,{\mathrm e}^{\frac{4 \left(\ln \left(2\right)+i \pi \right)^{2}}{3}+\frac{4 x}{3}}+128 \ln \left(2\right) {\mathrm e}^{\left(\ln \left(2\right)+i \pi \right)^{2}+x}-384 \ln \left(2\right)^{2} {\mathrm e}^{\frac{2 \left(\ln \left(2\right)+i \pi \right)^{2}}{3}+\frac{2 x}{3}}+512 \ln \left(2\right)^{3} {\mathrm e}^{\frac{\left(\ln \left(2\right)+i \pi \right)^{2}}{3}+\frac{x}{3}}$&$93$\\ norman&$-x -16 \,{\mathrm e}^{\frac{4 \left(\ln \left(2\right)+i \pi \right)^{2}}{3}+\frac{4 x}{3}}+128 \ln \left(2\right) {\mathrm e}^{\left(\ln \left(2\right)+i \pi \right)^{2}+x}-384 \ln \left(2\right)^{2} {\mathrm e}^{\frac{2 \left(\ln \left(2\right)+i \pi \right)^{2}}{3}+\frac{2 x}{3}}+512 \ln \left(2\right)^{3} {\mathrm e}^{\frac{\left(\ln \left(2\right)+i \pi \right)^{2}}{3}+\frac{x}{3}}$&$93$\\ derivativedivides&$-16 \,{\mathrm e}^{\frac{4 \left(\ln \left(2\right)+i \pi \right)^{2}}{3}+\frac{4 x}{3}}+128 \ln \left(2\right) {\mathrm e}^{\left(\ln \left(2\right)+i \pi \right)^{2}+x}-384 \ln \left(2\right)^{2} {\mathrm e}^{\frac{2 \left(\ln \left(2\right)+i \pi \right)^{2}}{3}+\frac{2 x}{3}}+512 \ln \left(2\right)^{3} {\mathrm e}^{\frac{\left(\ln \left(2\right)+i \pi \right)^{2}}{3}+\frac{x}{3}}-3 \ln \left({\mathrm e}^{\frac{\left(\ln \left(2\right)+i \pi \right)^{2}}{3}+\frac{x}{3}}\right)$&$109$\\ risch&$-x -16 \,2^{\frac{8 i \pi}{3}} {\mathrm e}^{-\frac{4 \pi^{2}}{3}+\frac{4 \ln \left(2\right)^{2}}{3}+\frac{4 x}{3}}+128 \ln \left(2\right) 2^{2 i \pi} {\mathrm e}^{-\pi^{2}+\ln \left(2\right)^{2}+x}-384 \ln \left(2\right)^{2} 2^{\frac{4 i \pi}{3}} {\mathrm e}^{-\frac{2 \pi^{2}}{3}+\frac{2 \ln \left(2\right)^{2}}{3}+\frac{2 x}{3}}+512 \ln \left(2\right)^{3} 2^{\frac{2 i \pi}{3}} {\mathrm e}^{-\frac{\pi^{2}}{3}+\frac{\ln \left(2\right)^{2}}{3}+\frac{x}{3}}$&$113$\\ \hline \end{longtable}"," ",0,"-x-16*exp(1/3*(ln(2)+I*Pi)^2+1/3*x)^4+128*ln(2)*exp(1/3*(ln(2)+I*Pi)^2+1/3*x)^3-384*ln(2)^2*exp(1/3*(ln(2)+I*Pi)^2+1/3*x)^2+512*ln(2)^3*exp(1/3*(ln(2)+I*Pi)^2+1/3*x)","B"
1006,1,31,28,0.053000," ","int((exp(x)*x^2+exp(4)-6*exp(1)+x^2+4)/(exp(x)*x^2-x*exp(4)+(x^2+6*x)*exp(1)+x^3+x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{x}-\frac{{\mathrm e}^{4}-x \,{\mathrm e}-x^{2}-6 \,{\mathrm e}-x +4}{x}\right)$&$31$\\ norman&$-\ln \left(x \right)+\ln \left(-x \,{\mathrm e}-x^{2}-{\mathrm e}^{x} x +{\mathrm e}^{4}-6 \,{\mathrm e}-x +4\right)$&$33$\\ \hline \end{longtable}"," ",0,"ln(exp(x)-(exp(4)-x*exp(1)-x^2-6*exp(1)-x+4)/x)","A"
1007,1,20,26,0.028000," ","int(1/3*(3*x*ln(3)+27*x^3-6*x^2+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x^{3}-x^{2}+x \ln \left(3\right)+\frac{\ln \left(x \right)}{3}$&$20$\\ norman&$3 x^{3}-x^{2}+x \ln \left(3\right)+\frac{\ln \left(x \right)}{3}$&$20$\\ risch&$3 x^{3}-x^{2}+x \ln \left(3\right)+\frac{\ln \left(x \right)}{3}$&$20$\\ \hline \end{longtable}"," ",0,"3*x^3-x^2+x*ln(3)+1/3*ln(x)","A"
1008,1,33,24,0.076000," ","int((((64*x^4-336*x^3+588*x^2-343*x)*exp(x)^3+(128*x^5-32*x^4-2248*x^3+5530*x^2-4018*x+343)*exp(x)^2+(64*x^6+304*x^5-1300*x^4-2831*x^3+13454*x^2-13769*x+3430)*exp(x)-64*x^5-304*x^4+1172*x^3+2863*x^2-11270*x+8575)*exp(exp(x))+(-16*x^2-20*x+28)*exp(x)-64*x^2-184*x+140)/((64*x^5-336*x^4+588*x^3-343*x^2)*exp(x)^2+(128*x^6-32*x^5-2184*x^4+5194*x^3-3430*x^2)*exp(x)+64*x^7+304*x^6-1172*x^5-2863*x^4+11270*x^3-8575*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{x \left(16 x^{2}-56 x +49\right) \left({\mathrm e}^{x}+5+x \right)}+\frac{{\mathrm e}^{{\mathrm e}^{x}}}{x}$&$33$\\ \hline \end{longtable}"," ",0,"4/x/(16*x^2-56*x+49)/(exp(x)+5+x)+exp(exp(x))/x","A"
1009,1,16,17,0.016000," ","int((x^2*ln(x)^2+4*ln(x)-5*x+4)/x^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{5 x -4}{x \ln \left(x \right)}$&$16$\\ default&$x -\frac{4}{x \ln \left(x \right)}+\frac{5}{\ln \left(x \right)}$&$18$\\ norman&$\frac{-4+x^{2} \ln \left(x \right)+5 x}{x \ln \left(x \right)}$&$20$\\ \hline \end{longtable}"," ",0,"x+1/x*(5*x-4)/ln(x)","A"
1010,1,25,23,0.036000," ","int(((24*x-96)*exp((-9*x^2-8*x+16)/x^2)-6*x^4+2*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-3 x^{2}+2 x +3 \,{\mathrm e}^{-9-\frac{8}{x}+\frac{16}{x^{2}}}$&$25$\\ default&$-3 x^{2}+2 x +3 \,{\mathrm e}^{-9-\frac{8}{x}+\frac{16}{x^{2}}}$&$25$\\ risch&$-3 x^{2}+2 x +3 \,{\mathrm e}^{-\frac{9 x^{2}+8 x -16}{x^{2}}}$&$28$\\ norman&$\frac{2 x^{3}-3 x^{4}+3 x^{2} {\mathrm e}^{\frac{-9 x^{2}-8 x +16}{x^{2}}}}{x^{2}}$&$36$\\ \hline \end{longtable}"," ",0,"-3*x^2+2*x+3*exp(-9-8/x+16/x^2)","A"
1011,1,36,28,0.091000," ","int(((625*exp(x)*x^2+2500*x+2500)*exp(((x^2+2*x)*exp(x)-4)/exp(x)/x)+(625*x^2-625*x)*exp(x))/(x^2*exp(x)*exp(((x^2+2*x)*exp(x)-4)/exp(x)/x)^2+(-2*x^2*exp(x)*ln(5*x)+(2*x^3+4*x^2)*exp(x))*exp(((x^2+2*x)*exp(x)-4)/exp(x)/x)+x^2*exp(x)*ln(5*x)^2+(-2*x^3-4*x^2)*exp(x)*ln(5*x)+(x^4+4*x^3+4*x^2)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{625}{x -\ln \left(5 x \right)+{\mathrm e}^{\frac{\left({\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{x} x -4\right) {\mathrm e}^{-x}}{x}}+2}$&$36$\\ \hline \end{longtable}"," ",0,"-625/(x-ln(5*x)+exp((exp(x)*x^2+2*exp(x)*x-4)*exp(-x)/x)+2)","A"
1012,1,42,26,0.023000," ","int(1/4*(4*x^4+20*x^3+3*x^2+10*x)*exp(x^2)^2-5/4*x^4-6*x^3-9/2*x^2-5/2*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{3}+5 x^{2}\right) {\mathrm e}^{2 x^{2}}}{4}-\frac{x^{5}}{4}-\frac{3 x^{4}}{2}-\frac{3 x^{3}}{2}-\frac{5 x^{2}}{4}+2 x$&$42$\\ default&$2 x -\frac{5 x^{2}}{4}-\frac{3 x^{3}}{2}-\frac{3 x^{4}}{2}-\frac{x^{5}}{4}+\frac{5 x^{2} {\mathrm e}^{2 x^{2}}}{4}+\frac{x^{3} {\mathrm e}^{2 x^{2}}}{4}$&$47$\\ norman&$2 x -\frac{5 x^{2}}{4}-\frac{3 x^{3}}{2}-\frac{3 x^{4}}{2}-\frac{x^{5}}{4}+\frac{5 x^{2} {\mathrm e}^{2 x^{2}}}{4}+\frac{x^{3} {\mathrm e}^{2 x^{2}}}{4}$&$47$\\ \hline \end{longtable}"," ",0,"1/4*(x^3+5*x^2)*exp(2*x^2)-1/4*x^5-3/2*x^4-3/2*x^3-5/4*x^2+2*x","A"
1013,1,15,21,0.029000," ","int(1/3*(200*exp(1/3*(-30*x+50)/x)+19*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{19 x}{3}-4 \,{\mathrm e}^{-10+\frac{50}{3 x}}$&$15$\\ default&$\frac{19 x}{3}-4 \,{\mathrm e}^{-10+\frac{50}{3 x}}$&$15$\\ risch&$\frac{19 x}{3}-4 \,{\mathrm e}^{-\frac{10 \left(3 x -5\right)}{3 x}}$&$18$\\ norman&$\frac{\frac{19 x^{2}}{3}-4 x \,{\mathrm e}^{\frac{-30 x +50}{3 x}}}{x}$&$25$\\ \hline \end{longtable}"," ",0,"19/3*x-4*exp(-10+50/3/x)","A"
1014,1,131,18,0.167000," ","int(((4*exp(4)+8*x)*exp((x*exp(4)+x^2)/exp(3))^4+((-12*x-12)*exp(4)-4*exp(3)-24*x^2-24*x)*exp((x*exp(4)+x^2)/exp(3))^3+((12*x^2+24*x+12)*exp(4)+(12*x+12)*exp(3)+24*x^3+48*x^2+24*x)*exp((x*exp(4)+x^2)/exp(3))^2+((-4*x^3-12*x^2-12*x-4)*exp(4)+(-12*x^2-24*x-12)*exp(3)-8*x^4-24*x^3-24*x^2-8*x)*exp((x*exp(4)+x^2)/exp(3))+(4*x^3+12*x^2+12*x+4)*exp(3))/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}+4 x^{3}+6 x^{2}+4 x +{\mathrm e}^{4 x \left(x +{\mathrm e}^{4}\right) {\mathrm e}^{-3}}+\left(-4 x \,{\mathrm e}^{3}-4 \,{\mathrm e}^{3}\right) {\mathrm e}^{3 x \,{\mathrm e}^{-3} {\mathrm e}^{4}+3 \,{\mathrm e}^{-3} x^{2}-3}+\left(6 x^{2} {\mathrm e}^{3}+12 x \,{\mathrm e}^{3}+6 \,{\mathrm e}^{3}\right) {\mathrm e}^{2 x \,{\mathrm e}^{-3} {\mathrm e}^{4}+2 \,{\mathrm e}^{-3} x^{2}-3}+\left(-4 x^{3} {\mathrm e}^{3}-12 x^{2} {\mathrm e}^{3}-12 x \,{\mathrm e}^{3}-4 \,{\mathrm e}^{3}\right) {\mathrm e}^{x \,{\mathrm e}^{-3} {\mathrm e}^{4}+{\mathrm e}^{-3} x^{2}-3}$&$131$\\ norman&$x^{4}+{\mathrm e}^{4 \left(x \,{\mathrm e}^{4}+x^{2}\right) {\mathrm e}^{-3}}+4 x +6 x^{2}+4 x^{3}+6 \,{\mathrm e}^{2 \left(x \,{\mathrm e}^{4}+x^{2}\right) {\mathrm e}^{-3}}-4 \,{\mathrm e}^{3 \left(x \,{\mathrm e}^{4}+x^{2}\right) {\mathrm e}^{-3}}-12 x \,{\mathrm e}^{\left(x \,{\mathrm e}^{4}+x^{2}\right) {\mathrm e}^{-3}}+12 x \,{\mathrm e}^{2 \left(x \,{\mathrm e}^{4}+x^{2}\right) {\mathrm e}^{-3}}-4 x \,{\mathrm e}^{3 \left(x \,{\mathrm e}^{4}+x^{2}\right) {\mathrm e}^{-3}}-12 x^{2} {\mathrm e}^{\left(x \,{\mathrm e}^{4}+x^{2}\right) {\mathrm e}^{-3}}+6 x^{2} {\mathrm e}^{2 \left(x \,{\mathrm e}^{4}+x^{2}\right) {\mathrm e}^{-3}}-4 x^{3} {\mathrm e}^{\left(x \,{\mathrm e}^{4}+x^{2}\right) {\mathrm e}^{-3}}-4 \,{\mathrm e}^{\left(x \,{\mathrm e}^{4}+x^{2}\right) {\mathrm e}^{-3}}$&$200$\\ default&$\text{Expression too large to display}$&$2846$\\ \hline \end{longtable}"," ",0,"x^4+4*x^3+6*x^2+4*x+exp(4*x*(x+exp(4))*exp(-3))+(-4*x*exp(3)-4*exp(3))*exp(3*x*exp(-3)*exp(4)+3*exp(-3)*x^2-3)+(6*x^2*exp(3)+12*x*exp(3)+6*exp(3))*exp(2*x*exp(-3)*exp(4)+2*exp(-3)*x^2-3)+(-4*x^3*exp(3)-12*x^2*exp(3)-12*x*exp(3)-4*exp(3))*exp(x*exp(-3)*exp(4)+exp(-3)*x^2-3)","B"
1015,1,515,23,0.204000," ","int(((2*exp(4)+x^3-x^2)*exp(x)+(2*x-8)*exp(4)+4*x^2)/(2*x^4*exp(exp(4)/x^2)-exp(x)*x^3-x^4+4*x^3)/ln((-2*x*exp(exp(4)/x^2)+exp(x)+x-4)/x/exp(exp(4)/x^2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i}{\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{{\mathrm e}^{4}}{x^{2}}} \left(-\left({\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{2}}}-\frac{1}{2}\right) x +\frac{{\mathrm e}^{x}}{2}-2\right)\right) \mathrm{csgn}\left(\frac{i \left(-\left({\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{2}}}-\frac{1}{2}\right) x +\frac{{\mathrm e}^{x}}{2}-2\right) {\mathrm e}^{-\frac{{\mathrm e}^{4}}{x^{2}}}}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-\left({\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{2}}}-\frac{1}{2}\right) x +\frac{{\mathrm e}^{x}}{2}-2\right) {\mathrm e}^{-\frac{{\mathrm e}^{4}}{x^{2}}}}{x}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i \left(-\left({\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{2}}}-\frac{1}{2}\right) x +\frac{{\mathrm e}^{x}}{2}-2\right) {\mathrm e}^{-\frac{{\mathrm e}^{4}}{x^{2}}}}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(-\left({\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{2}}}-\frac{1}{2}\right) x +\frac{{\mathrm e}^{x}}{2}-2\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{{\mathrm e}^{4}}{x^{2}}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{{\mathrm e}^{4}}{x^{2}}} \left(-\left({\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{2}}}-\frac{1}{2}\right) x +\frac{{\mathrm e}^{x}}{2}-2\right)\right)+\pi  \,\mathrm{csgn}\left(i \left(-\left({\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{2}}}-\frac{1}{2}\right) x +\frac{{\mathrm e}^{x}}{2}-2\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{{\mathrm e}^{4}}{x^{2}}} \left(-\left({\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{2}}}-\frac{1}{2}\right) x +\frac{{\mathrm e}^{x}}{2}-2\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-\frac{{\mathrm e}^{4}}{x^{2}}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{{\mathrm e}^{4}}{x^{2}}} \left(-\left({\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{2}}}-\frac{1}{2}\right) x +\frac{{\mathrm e}^{x}}{2}-2\right)\right)^{2}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{-\frac{{\mathrm e}^{4}}{x^{2}}} \left(-\left({\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{2}}}-\frac{1}{2}\right) x +\frac{{\mathrm e}^{x}}{2}-2\right)\right)^{3}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-\frac{{\mathrm e}^{4}}{x^{2}}} \left(-\left({\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{2}}}-\frac{1}{2}\right) x +\frac{{\mathrm e}^{x}}{2}-2\right)\right) \mathrm{csgn}\left(\frac{i \left(-\left({\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{2}}}-\frac{1}{2}\right) x +\frac{{\mathrm e}^{x}}{2}-2\right) {\mathrm e}^{-\frac{{\mathrm e}^{4}}{x^{2}}}}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(-\left({\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{2}}}-\frac{1}{2}\right) x +\frac{{\mathrm e}^{x}}{2}-2\right) {\mathrm e}^{-\frac{{\mathrm e}^{4}}{x^{2}}}}{x}\right)^{3}-2 \pi +2 i \ln \left(2\right)+2 i \ln \left(\left({\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{2}}}-\frac{1}{2}\right) x -\frac{{\mathrm e}^{x}}{2}+2\right)-2 i \ln \left(x \right)-2 i \ln \left({\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{2}}}\right)}$&$515$\\ \hline \end{longtable}"," ",0,"2*I/(Pi*csgn(I/x)*csgn(I*exp(-exp(4)/x^2)*(-(exp(exp(4)/x^2)-1/2)*x+1/2*exp(x)-2))*csgn(I*(-(exp(exp(4)/x^2)-1/2)*x+1/2*exp(x)-2)*exp(-exp(4)/x^2)/x)-Pi*csgn(I/x)*csgn(I*(-(exp(exp(4)/x^2)-1/2)*x+1/2*exp(x)-2)*exp(-exp(4)/x^2)/x)^2+2*Pi*csgn(I*(-(exp(exp(4)/x^2)-1/2)*x+1/2*exp(x)-2)*exp(-exp(4)/x^2)/x)^2+Pi*csgn(I*(-(exp(exp(4)/x^2)-1/2)*x+1/2*exp(x)-2))*csgn(I*exp(-exp(4)/x^2))*csgn(I*exp(-exp(4)/x^2)*(-(exp(exp(4)/x^2)-1/2)*x+1/2*exp(x)-2))+Pi*csgn(I*(-(exp(exp(4)/x^2)-1/2)*x+1/2*exp(x)-2))*csgn(I*exp(-exp(4)/x^2)*(-(exp(exp(4)/x^2)-1/2)*x+1/2*exp(x)-2))^2-Pi*csgn(I*exp(-exp(4)/x^2))*csgn(I*exp(-exp(4)/x^2)*(-(exp(exp(4)/x^2)-1/2)*x+1/2*exp(x)-2))^2-Pi*csgn(I*exp(-exp(4)/x^2)*(-(exp(exp(4)/x^2)-1/2)*x+1/2*exp(x)-2))^3+Pi*csgn(I*exp(-exp(4)/x^2)*(-(exp(exp(4)/x^2)-1/2)*x+1/2*exp(x)-2))*csgn(I*(-(exp(exp(4)/x^2)-1/2)*x+1/2*exp(x)-2)*exp(-exp(4)/x^2)/x)^2+Pi*csgn(I*(-(exp(exp(4)/x^2)-1/2)*x+1/2*exp(x)-2)*exp(-exp(4)/x^2)/x)^3-2*Pi+2*I*ln(2)+2*I*ln((exp(exp(4)/x^2)-1/2)*x-1/2*exp(x)+2)-2*I*ln(x)-2*I*ln(exp(exp(4)/x^2)))","C"
1016,1,158,32,0.063000," ","int(1/25*(((-50*x^5-50*x^4)*exp(1)^2+(-60*x^5+240*x^4+150*x^3)*exp(1)-18*x^5+162*x^4-360*x^3)*exp(3)^2*exp(x)^2+((-50*x^5-150*x^4-50*x^3)*exp(1)^2+(-60*x^5+120*x^4+540*x^3)*exp(1)-18*x^5+126*x^4-108*x^3-450*x^2+450*x)*exp(3)^2*exp(x)+((-50*x^4-50*x^3)*exp(1)^2+(-60*x^4+90*x^3-150*x)*exp(1)-18*x^4+72*x^3+360*x+450)*exp(3)^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} {\mathrm e}^{8}-2 x \,{\mathrm e}^{8}-\frac{6 x^{2} {\mathrm e}^{7}}{5}+\frac{18 x \,{\mathrm e}^{7}}{5}-\frac{9 x^{2} {\mathrm e}^{6}}{25}+\frac{72 x \,{\mathrm e}^{6}}{25}+\frac{\left(150 \,{\mathrm e}^{7}-360 \,{\mathrm e}^{6}\right) x -225 \,{\mathrm e}^{6}}{25 x^{2}}+\frac{\left(-25 x^{2} {\mathrm e}^{8}-30 x^{2} {\mathrm e}^{7}+150 x \,{\mathrm e}^{7}-9 x^{2} {\mathrm e}^{6}+90 x \,{\mathrm e}^{6}-225 \,{\mathrm e}^{6}\right) {\mathrm e}^{2 x}}{25}-\frac{2 \left(25 x^{3} {\mathrm e}^{2}+25 x^{2} {\mathrm e}^{2}+30 x^{3} {\mathrm e}-120 x^{2} {\mathrm e}+9 x^{3}-150 x \,{\mathrm e}-81 x^{2}+135 x +225\right) {\mathrm e}^{x +6}}{25 x}$&$158$\\ norman&$\frac{\left(6 \,{\mathrm e} \,{\mathrm e}^{6}-\frac{72 \,{\mathrm e}^{6}}{5}\right) x +\left(-2 \,{\mathrm e}^{6} {\mathrm e}^{2}+\frac{18 \,{\mathrm e} \,{\mathrm e}^{6}}{5}+\frac{72 \,{\mathrm e}^{6}}{25}\right) x^{3}+\left(-{\mathrm e}^{6} {\mathrm e}^{2}-\frac{6 \,{\mathrm e} \,{\mathrm e}^{6}}{5}-\frac{9 \,{\mathrm e}^{6}}{25}\right) x^{4}+\left(6 \,{\mathrm e} \,{\mathrm e}^{6}+\frac{18 \,{\mathrm e}^{6}}{5}\right) x^{3} {\mathrm e}^{2 x}+\left(12 \,{\mathrm e} \,{\mathrm e}^{6}-\frac{54 \,{\mathrm e}^{6}}{5}\right) x^{2} {\mathrm e}^{x}+\left(-2 \,{\mathrm e}^{6} {\mathrm e}^{2}-\frac{12 \,{\mathrm e} \,{\mathrm e}^{6}}{5}-\frac{18 \,{\mathrm e}^{6}}{25}\right) x^{4} {\mathrm e}^{x}+\left(-2 \,{\mathrm e}^{6} {\mathrm e}^{2}+\frac{48 \,{\mathrm e} \,{\mathrm e}^{6}}{5}+\frac{162 \,{\mathrm e}^{6}}{25}\right) x^{3} {\mathrm e}^{x}+\left(-{\mathrm e}^{6} {\mathrm e}^{2}-\frac{6 \,{\mathrm e} \,{\mathrm e}^{6}}{5}-\frac{9 \,{\mathrm e}^{6}}{25}\right) x^{4} {\mathrm e}^{2 x}-9 \,{\mathrm e}^{6}-9 x^{2} {\mathrm e}^{6} {\mathrm e}^{2 x}-18 x \,{\mathrm e}^{6} {\mathrm e}^{x}}{x^{2}}$&$248$\\ default&$-\frac{9 x^{2} {\mathrm e}^{6}}{25}+\frac{72 x \,{\mathrm e}^{6}}{25}-\frac{36 \,{\mathrm e}^{6} {\mathrm e}^{2 x}}{5}+\frac{126 \,{\mathrm e}^{6} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)}{25}-\frac{18 \,{\mathrm e}^{6} \left(\frac{{\mathrm e}^{2 x} x^{2}}{2}-\frac{x \,{\mathrm e}^{2 x}}{2}+\frac{{\mathrm e}^{2 x}}{4}\right)}{25}-\frac{18 \,{\mathrm e}^{6} \left({\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right)}{25}+\frac{162 \,{\mathrm e}^{6} \left(\frac{x \,{\mathrm e}^{2 x}}{2}-\frac{{\mathrm e}^{2 x}}{4}\right)}{25}-\frac{72 \,{\mathrm e}^{6}}{5 x}-\frac{9 \,{\mathrm e}^{6}}{x^{2}}+18 \,{\mathrm e}^{6} \expIntegralEi \left(1, -x \right)+18 \,{\mathrm e}^{6} \left(-\frac{{\mathrm e}^{x}}{x}-\expIntegralEi \left(1, -x \right)\right)-\frac{108 \,{\mathrm e}^{6} {\mathrm e}^{x}}{25}-2 \,{\mathrm e}^{6} {\mathrm e}^{x} {\mathrm e}^{2}+\frac{108 \,{\mathrm e}^{6} {\mathrm e}^{x} {\mathrm e}}{5}+3 \,{\mathrm e}^{6} {\mathrm e}^{2 x} {\mathrm e}-\frac{12 \,{\mathrm e} \,{\mathrm e}^{6} \left({\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right)}{5}-2 \,{\mathrm e}^{6} {\mathrm e}^{2} \left({\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right)-\frac{12 \,{\mathrm e} \,{\mathrm e}^{6} \left(\frac{{\mathrm e}^{2 x} x^{2}}{2}-\frac{x \,{\mathrm e}^{2 x}}{2}+\frac{{\mathrm e}^{2 x}}{4}\right)}{5}-2 \,{\mathrm e}^{6} {\mathrm e}^{2} \left(\frac{{\mathrm e}^{2 x} x^{2}}{2}-\frac{x \,{\mathrm e}^{2 x}}{2}+\frac{{\mathrm e}^{2 x}}{4}\right)+\frac{24 \,{\mathrm e} \,{\mathrm e}^{6} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)}{5}-6 \,{\mathrm e}^{6} {\mathrm e}^{2} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+\frac{48 \,{\mathrm e} \,{\mathrm e}^{6} \left(\frac{x \,{\mathrm e}^{2 x}}{2}-\frac{{\mathrm e}^{2 x}}{4}\right)}{5}-2 \,{\mathrm e}^{6} {\mathrm e}^{2} \left(\frac{x \,{\mathrm e}^{2 x}}{2}-\frac{{\mathrm e}^{2 x}}{4}\right)-\frac{6 \,{\mathrm e} \,{\mathrm e}^{6} x^{2}}{5}-{\mathrm e}^{6} {\mathrm e}^{2} x^{2}+\frac{6 \,{\mathrm e} \,{\mathrm e}^{6}}{x}+\frac{18 \,{\mathrm e}^{6} x \,{\mathrm e}}{5}-2 x \,{\mathrm e}^{6} {\mathrm e}^{2}$&$457$\\ \hline \end{longtable}"," ",0,"-x^2*exp(8)-2*x*exp(8)-6/5*x^2*exp(7)+18/5*x*exp(7)-9/25*x^2*exp(6)+72/25*x*exp(6)+1/25*((150*exp(7)-360*exp(6))*x-225*exp(6))/x^2+1/25*(-25*x^2*exp(8)-30*x^2*exp(7)+150*x*exp(7)-9*x^2*exp(6)+90*x*exp(6)-225*exp(6))*exp(2*x)-2/25/x*(25*x^3*exp(2)+25*x^2*exp(2)+30*x^3*exp(1)-120*x^2*exp(1)+9*x^3-150*x*exp(1)-81*x^2+135*x+225)*exp(x+6)","B"
1017,1,465,27,0.401000," ","int(((2*exp(x)*x-8*x)*ln(x)*ln(3/(exp(x)^2*x^3-8*exp(x)*x^3+16*x^3)/ln(x))+((3*x^2+3*x)*exp(x)-4*x^2-12*x)*ln(x)+exp(x)*x-4*x)/((3*exp(x)-12)*ln(x)*ln(3/(exp(x)^2*x^3-8*exp(x)*x^3+16*x^3)/ln(x))^2+(6*exp(x)*x-24*x)*ln(x)*ln(3/(exp(x)^2*x^3-8*exp(x)*x^3+16*x^3)/ln(x))+(3*exp(x)*x^2-12*x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{2}}{3 \left(2 x -2 \ln \left(\ln \left(x \right)\right)+2 \ln \left(3\right)-6 \ln \left(x \right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{3}}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right) \left({\mathrm e}^{x}-4\right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{3} \ln \left(x \right) \left({\mathrm e}^{x}-4\right)^{2}}\right)+i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}-4\right)^{2}\right)^{3}+i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right) \left({\mathrm e}^{x}-4\right)^{2}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{x}-4\right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right) \left({\mathrm e}^{x}-4\right)^{2}}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{x}-4\right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right) \left({\mathrm e}^{x}-4\right)^{2}}\right)^{2}+i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}-4\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-4\right)^{2}\right)-i \pi  \mathrm{csgn}\left(\frac{i}{x^{3} \ln \left(x \right) \left({\mathrm e}^{x}-4\right)^{2}}\right)^{3}-2 i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-4\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-4\right)^{2}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-i \pi  \mathrm{csgn}\left(\frac{i}{\ln \left(x \right) \left({\mathrm e}^{x}-4\right)^{2}}\right)^{3}-4 \ln \left({\mathrm e}^{x}-4\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{3}}\right) \mathrm{csgn}\left(\frac{i}{x^{3} \ln \left(x \right) \left({\mathrm e}^{x}-4\right)^{2}}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right) \left({\mathrm e}^{x}-4\right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{3} \ln \left(x \right) \left({\mathrm e}^{x}-4\right)^{2}}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)}$&$465$\\ \hline \end{longtable}"," ",0,"2/3*x^2/(2*x-2*ln(ln(x))+2*ln(3)-6*ln(x)-I*Pi*csgn(I/x^3)*csgn(I/ln(x)/(exp(x)-4)^2)*csgn(I/x^3/ln(x)/(exp(x)-4)^2)+I*Pi*csgn(I*(exp(x)-4)^2)^3+I*Pi*csgn(I/ln(x))*csgn(I/ln(x)/(exp(x)-4)^2)^2-I*Pi*csgn(I/ln(x))*csgn(I/(exp(x)-4)^2)*csgn(I/ln(x)/(exp(x)-4)^2)+I*Pi*csgn(I/(exp(x)-4)^2)*csgn(I/ln(x)/(exp(x)-4)^2)^2+I*Pi*csgn(I*(exp(x)-4))^2*csgn(I*(exp(x)-4)^2)-I*Pi*csgn(I/x^3/ln(x)/(exp(x)-4)^2)^3-2*I*Pi*csgn(I*(exp(x)-4))*csgn(I*(exp(x)-4)^2)^2+I*Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-I*Pi*csgn(I/ln(x)/(exp(x)-4)^2)^3-4*ln(exp(x)-4)+I*Pi*csgn(I/x^3)*csgn(I/x^3/ln(x)/(exp(x)-4)^2)^2+I*Pi*csgn(I/ln(x)/(exp(x)-4)^2)*csgn(I/x^3/ln(x)/(exp(x)-4)^2)^2+I*Pi*csgn(I*x^3)^3+I*Pi*csgn(I*x)^2*csgn(I*x^2)-2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x)*csgn(I*x^3)^2-I*Pi*csgn(I*x^2)*csgn(I*x^3)^2+I*Pi*csgn(I*x^2)^3)","C"
1018,1,26,19,0.160000," ","int((18*exp(1)^4*ln(3+x)+72*exp(1)^4+2)/(9*x+27)/exp(1)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(3+x \right)^{2}+8 \,{\mathrm e}^{-4} \ln \left(3+x \right) {\mathrm e}^{4}+\frac{2 \,{\mathrm e}^{-4} \ln \left(3+x \right)}{9}$&$26$\\ derivativedivides&$\frac{2 \,{\mathrm e}^{-4} \left(\frac{9 \ln \left(3+x \right)^{2} {\mathrm e}^{4}}{2}+36 \,{\mathrm e}^{4} \ln \left(3+x \right)+\ln \left(3+x \right)\right)}{9}$&$34$\\ default&$\frac{2 \,{\mathrm e}^{-4} \left(\frac{9 \ln \left(3+x \right)^{2} {\mathrm e}^{4}}{2}+36 \,{\mathrm e}^{4} \ln \left(3+x \right)+\ln \left(3+x \right)\right)}{9}$&$34$\\ norman&$\left(\frac{2 \left(36 \,{\mathrm e}^{4}+1\right) {\mathrm e}^{-1} \ln \left(3+x \right)}{9}+{\mathrm e}^{3} \ln \left(3+x \right)^{2}\right) {\mathrm e}^{-3}$&$36$\\ \hline \end{longtable}"," ",0,"ln(3+x)^2+8*exp(-4)*ln(3+x)*exp(4)+2/9*exp(-4)*ln(3+x)","A"
1019,1,46,30,0.071000," ","int(((-x^2*ln(x)^2+(-exp(3)^2-x*exp(3)+x^2-x)*ln(x)+exp(3)^2+x*exp(3)+x)*ln(x^2*ln(x)+exp(3)^2+x*exp(3)+x)+2*x^2*ln(x)^2+(x*exp(3)+x^4-3*x^3+x^2+x)*ln(x)+(x^2-x)*exp(3)^2+(x^3-2*x^2)*exp(3)-2*x^2)/(x^4*ln(x)+x^2*exp(3)^2+x^3*exp(3)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right) \ln \left(x^{2} \ln \left(x \right)+{\mathrm e}^{6}+x \,{\mathrm e}^{3}+x \right)}{x}+x -3 \ln \left(x \right)-\ln \left(\ln \left(x \right)+\frac{{\mathrm e}^{6}+x \,{\mathrm e}^{3}+x}{x^{2}}\right)$&$46$\\ \hline \end{longtable}"," ",0,"1/x*ln(x)*ln(x^2*ln(x)+exp(6)+x*exp(3)+x)+x-3*ln(x)-ln(ln(x)+(exp(6)+x*exp(3)+x)/x^2)","A"
1020,1,84,33,1.178000," ","int((((243*x^6-1134*x^5-2997*x^4-1620*x^3+2*x^2+4*x+2)*ln(2)-243*x^6-486*x^5-243*x^4-2*x^2-4*x-2)*exp(x/(x+1))^2+((-6*x^2-5*x-5)*ln(2)+x^2)*exp(x/(x+1)))/((6561*x^10+13122*x^9+6561*x^8-324*x^6-648*x^5-324*x^4+4*x^2+8*x+4)*ln(2)*exp(x/(x+1))^2+(162*x^7+324*x^6+162*x^5-4*x^3-8*x^2-4*x)*ln(2)*exp(x/(x+1))+(x^4+2*x^3+x^2)*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{81 \left(-\frac{\ln \left(2\right)}{81}+\frac{1}{81}\right) x +5 \ln \left(2\right)}{\ln \left(2\right) \left(81 x^{4}-2\right)}+\frac{\left(x \ln \left(2\right)-5 \ln \left(2\right)-x \right) x}{\ln \left(2\right) \left(81 x^{4}-2\right) \left(81 \,{\mathrm e}^{\frac{x}{x +1}} x^{4}-2 \,{\mathrm e}^{\frac{x}{x +1}}+x \right)}$&$84$\\ norman&$\frac{5 \,{\mathrm e}^{\frac{x}{x +1}}+\frac{\left(1+4 \ln \left(2\right)\right) x \,{\mathrm e}^{\frac{x}{x +1}}}{\ln \left(2\right)}-\frac{\left(\ln \left(2\right)-1\right) x^{2} {\mathrm e}^{\frac{x}{x +1}}}{\ln \left(2\right)}}{81 \,{\mathrm e}^{\frac{x}{x +1}} x^{5}+81 \,{\mathrm e}^{\frac{x}{x +1}} x^{4}+x^{2}-2 x \,{\mathrm e}^{\frac{x}{x +1}}+x -2 \,{\mathrm e}^{\frac{x}{x +1}}}$&$108$\\ \hline \end{longtable}"," ",0,"81*((-1/81*ln(2)+1/81)*x+5/81*ln(2))/ln(2)/(81*x^4-2)+(x*ln(2)-5*ln(2)-x)*x/ln(2)/(81*x^4-2)/(81*exp(x/(x+1))*x^4-2*exp(x/(x+1))+x)","B"
1021,1,7,8,0.017000," ","int(3/800*exp(1/25*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{\frac{2 x}{25}}}{64}$&$7$\\ gosper&$\frac{3 \,{\mathrm e}^{\frac{2 x}{25}}}{64}$&$9$\\ derivativedivides&$\frac{3 \,{\mathrm e}^{\frac{2 x}{25}}}{64}$&$9$\\ default&$\frac{3 \,{\mathrm e}^{\frac{2 x}{25}}}{64}$&$9$\\ norman&$\frac{3 \,{\mathrm e}^{\frac{2 x}{25}}}{64}$&$9$\\ meijerg&$-\frac{3}{64}+\frac{3 \,{\mathrm e}^{\frac{2 x}{25}}}{64}$&$9$\\ \hline \end{longtable}"," ",0,"3/64*exp(2/25*x)","A"
1022,1,33,17,0.165000," ","int(((2*x^6-2*x^5-2*x^4-4*x^3)*exp(x)^2+(94*x^8+94*x^7-376*x^6-470*x^5+282*x^3+282*x^2-188*x)*exp(x))/(x^10+5*x^9+5*x^8-10*x^7-15*x^6+11*x^5+15*x^4-10*x^3-5*x^2+5*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4} {\mathrm e}^{2 x}}{\left(x^{2}+x -1\right)^{4}}+\frac{94 x^{2} {\mathrm e}^{x}}{\left(x^{2}+x -1\right)^{2}}$&$33$\\ norman&$\frac{{\mathrm e}^{2 x} x^{4}+188 x^{5} {\mathrm e}^{x}+94 x^{6} {\mathrm e}^{x}+94 \,{\mathrm e}^{x} x^{2}-188 \,{\mathrm e}^{x} x^{3}-94 \,{\mathrm e}^{x} x^{4}}{\left(x^{2}+x -1\right)^{4}}$&$54$\\ default&$-\frac{47 \,{\mathrm e}^{x} \left(7 x^{7}-53 x^{6}-377 x^{5}-870 x^{4}+685 x^{3}+446 x^{2}-514 x +119\right)}{300 \left(x^{8}+4 x^{7}+2 x^{6}-8 x^{5}-5 x^{4}+8 x^{3}+2 x^{2}-4 x +1\right)}-\frac{{\mathrm e}^{2 x} \left(12 x^{7}+2 x^{6}-142 x^{5}-205 x^{4}+240 x^{3}+96 x^{2}-154 x +39\right)}{250 \left(x^{8}+4 x^{7}+2 x^{6}-8 x^{5}-5 x^{4}+8 x^{3}+2 x^{2}-4 x +1\right)}-\frac{47 \,{\mathrm e}^{x} \left(4 x^{7}-241 x^{6}-1269 x^{5}+185 x^{4}+1145 x^{3}-263 x^{2}-333 x +118\right)}{375 \left(x^{8}+4 x^{7}+2 x^{6}-8 x^{5}-5 x^{4}+8 x^{3}+2 x^{2}-4 x +1\right)}-\frac{{\mathrm e}^{2 x} \left(128 x^{7}+538 x^{6}+552 x^{5}-870 x^{4}-340 x^{3}+574 x^{2}-126 x -9\right)}{750 \left(x^{8}+4 x^{7}+2 x^{6}-8 x^{5}-5 x^{4}+8 x^{3}+2 x^{2}-4 x +1\right)}-\frac{47 \,{\mathrm e}^{x} \left(437 x^{7}+1952 x^{6}-232 x^{5}-2445 x^{4}+560 x^{3}+1111 x^{2}-599 x +79\right)}{1500 \left(x^{8}+4 x^{7}+2 x^{6}-8 x^{5}-5 x^{4}+8 x^{3}+2 x^{2}-4 x +1\right)}-\frac{47 \,{\mathrm e}^{x} \left(399 x^{7}-971 x^{6}+761 x^{5}+2960 x^{4}-2405 x^{3}-1828 x^{2}+2152 x -517\right)}{1500 \left(x^{8}+4 x^{7}+2 x^{6}-8 x^{5}-5 x^{4}+8 x^{3}+2 x^{2}-4 x +1\right)}+\frac{47 \,{\mathrm e}^{x} \left(253 x^{7}+788 x^{6}-108 x^{5}-1705 x^{4}+140 x^{3}+1459 x^{2}-531 x +151\right)}{750 \left(x^{8}+4 x^{7}+2 x^{6}-8 x^{5}-5 x^{4}+8 x^{3}+2 x^{2}-4 x +1\right)}+\frac{47 \,{\mathrm e}^{x} \left(109 x^{7}+339 x^{6}-49 x^{5}-740 x^{4}+45 x^{3}+552 x^{2}-668 x +153\right)}{500 \left(x^{8}+4 x^{7}+2 x^{6}-8 x^{5}-5 x^{4}+8 x^{3}+2 x^{2}-4 x +1\right)}+\frac{47 \,{\mathrm e}^{x} \left(18 x^{7}+53 x^{6}-23 x^{5}-155 x^{4}-85 x^{3}-371 x^{2}+239 x -44\right)}{500 \left(x^{8}+4 x^{7}+2 x^{6}-8 x^{5}-5 x^{4}+8 x^{3}+2 x^{2}-4 x +1\right)}+\frac{{\mathrm e}^{2 x} \left(56 x^{7}+176 x^{6}+4 x^{5}-290 x^{4}+120 x^{3}+448 x^{2}-302 x +57\right)}{375 x^{8}+1500 x^{7}+750 x^{6}-3000 x^{5}-1875 x^{4}+3000 x^{3}+750 x^{2}-1500 x +375}+\frac{{\mathrm e}^{2 x} \left(52 x^{7}+192 x^{6}+118 x^{5}-155 x^{4}+140 x^{3}-34 x^{2}+16 x -6\right)}{750 x^{8}+3000 x^{7}+1500 x^{6}-6000 x^{5}-3750 x^{4}+6000 x^{3}+1500 x^{2}-3000 x +750}$&$879$\\ \hline \end{longtable}"," ",0,"x^4/(x^2+x-1)^4*exp(2*x)+94*x^2/(x^2+x-1)^2*exp(x)","A"
1023,1,48,30,0.059000," ","int((40*x^5-950*x^4+7500*x^3-25000*x^2+31250*x)*exp(2)/(x^8-20*x^7+138*x^6-230*x^5-1518*x^4+6700*x^3-2375*x^2-25000*x+31250),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$10 \,{\mathrm e}^{2} \left(\frac{\ln \left(x^{4}-10 x^{3}+17 x^{2}+100 x -250\right)}{2}-\frac{\ln \left(x^{4}-10 x^{3}+21 x^{2}+50 x -125\right)}{2}\right)$&$48$\\ norman&$5 \,{\mathrm e}^{2} \ln \left(x^{4}-10 x^{3}+17 x^{2}+100 x -250\right)-5 \,{\mathrm e}^{2} \ln \left(x^{4}-10 x^{3}+21 x^{2}+50 x -125\right)$&$48$\\ risch&$5 \,{\mathrm e}^{2} \ln \left(x^{4}-10 x^{3}+17 x^{2}+100 x -250\right)-5 \,{\mathrm e}^{2} \ln \left(x^{4}-10 x^{3}+21 x^{2}+50 x -125\right)$&$48$\\ \hline \end{longtable}"," ",0,"10*exp(2)*(1/2*ln(x^4-10*x^3+17*x^2+100*x-250)-1/2*ln(x^4-10*x^3+21*x^2+50*x-125))","A"
1024,1,25,22,0.016000," ","int(1/625*(256*x^6-2016*x^5+3528*x^4-2400*x^3-45000)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{64 x^{4}}{625}-\frac{672 x^{3}}{625}+\frac{1764 x^{2}}{625}-\frac{96 x}{25}+\frac{36}{x^{2}}$&$25$\\ risch&$\frac{64 x^{4}}{625}-\frac{672 x^{3}}{625}+\frac{1764 x^{2}}{625}-\frac{96 x}{25}+\frac{36}{x^{2}}$&$25$\\ norman&$\frac{36-\frac{96}{25} x^{3}+\frac{1764}{625} x^{4}-\frac{672}{625} x^{5}+\frac{64}{625} x^{6}}{x^{2}}$&$27$\\ gosper&$\frac{36-\frac{96}{25} x^{3}+\frac{1764}{625} x^{4}-\frac{672}{625} x^{5}+\frac{64}{625} x^{6}}{x^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"64/625*x^4-672/625*x^3+1764/625*x^2-96/25*x+36/x^2","A"
1025,1,42,21,0.030000," ","int(-8*exp(x)^2+(-8*ln(3/4)+8*x-4)*exp(x)+8*ln(3/4)-8*x+20,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$20 x +8 \,{\mathrm e}^{x} x -12 \,{\mathrm e}^{x}+16 \,{\mathrm e}^{x} \ln \left(2\right)-8 \ln \left(3\right) {\mathrm e}^{x}-4 x^{2}-4 \,{\mathrm e}^{2 x}+8 \ln \left(\frac{3}{4}\right) x$&$42$\\ risch&$-4 \,{\mathrm e}^{2 x}+\left(-12-8 \ln \left(3\right)+16 \ln \left(2\right)+8 x \right) {\mathrm e}^{x}+8 x \ln \left(3\right)-16 x \ln \left(2\right)-4 x^{2}+20 x$&$42$\\ norman&$\left(-12-8 \ln \left(3\right)+16 \ln \left(2\right)\right) {\mathrm e}^{x}+\left(8 \ln \left(3\right)-16 \ln \left(2\right)+20\right) x -4 x^{2}-4 \,{\mathrm e}^{2 x}+8 \,{\mathrm e}^{x} x$&$43$\\ \hline \end{longtable}"," ",0,"20*x+8*exp(x)*x-12*exp(x)+16*exp(x)*ln(2)-8*ln(3)*exp(x)-4*x^2-4*exp(x)^2+8*ln(3/4)*x","A"
1026,1,20,23,0.043000," ","int(((-x^5-77*x^4+160*x^3)*exp(x)+12*x^4+656*x^3+960*x^2)/(4*exp(x)^2*x^2+(32*x^2+32*x)*exp(x)+64*x^2+128*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x +80\right) x^{3}}{4 \,{\mathrm e}^{x} x +16 x +16}$&$20$\\ norman&$\frac{20 x^{3}+\frac{1}{4} x^{4}}{{\mathrm e}^{x} x +4 x +4}$&$24$\\ \hline \end{longtable}"," ",0,"1/4*(x+80)*x^3/(exp(x)*x+4*x+4)","A"
1027,1,28,30,0.137000," ","int(((-6*x^3-33*x^2-36*x+27)*exp(2*x)+(2*x^4+12*x^3-6*x^2)*exp((-x^2+x)/(3+x))+8*x^5+48*x^4+72*x^3)/(4*x^4+24*x^3+36*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{3 \,{\mathrm e}^{2 x}}{4 x}-\frac{{\mathrm e}^{-\frac{x \left(x -1\right)}{3+x}}}{2}$&$28$\\ norman&$\frac{x^{4}+3 x^{3}-\frac{3 x \,{\mathrm e}^{\frac{-x^{2}+x}{3+x}}}{2}-\frac{3 x \,{\mathrm e}^{2 x}}{4}-\frac{x^{2} {\mathrm e}^{\frac{-x^{2}+x}{3+x}}}{2}-\frac{9 \,{\mathrm e}^{2 x}}{4}}{\left(3+x \right) x}$&$68$\\ \hline \end{longtable}"," ",0,"x^2-3/4*exp(2*x)/x-1/2*exp(-x*(x-1)/(3+x))","A"
1028,1,29,26,0.238000," ","int((((ln(x)+1)*ln(4*exp(exp(2*x)+x))-x*ln(x)-x)*ln(ln(4*exp(exp(2*x)+x))-x)^2+(5*x^4*ln(4*exp(exp(2*x)+x))-5*x^5)*ln(ln(4*exp(exp(2*x)+x))-x)-2*x^5*exp(2*x))/(ln(4*exp(exp(2*x)+x))-x)/ln(ln(4*exp(exp(2*x)+x))-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(x \right)+\frac{x^{5}}{\ln \left(2 \ln \left(2\right)+\ln \left({\mathrm e}^{{\mathrm e}^{2 x}+x}\right)-x \right)}$&$29$\\ \hline \end{longtable}"," ",0,"x*ln(x)+x^5/ln(2*ln(2)+ln(exp(exp(2*x)+x))-x)","A"
1029,1,25,22,0.026000," ","int((-2*x^5-16*x^4+256*x^2+518*x)/(x^8+32*x^7+438*x^6+3424*x^5+16991*x^4+54880*x^3+112674*x^2+132608*x+67081),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{2}}{x^{4}+16 x^{3}+91 x^{2}+256 x +259}$&$25$\\ default&$\frac{x^{2}}{x^{4}+16 x^{3}+91 x^{2}+256 x +259}$&$25$\\ norman&$\frac{x^{2}}{x^{4}+16 x^{3}+91 x^{2}+256 x +259}$&$25$\\ risch&$\frac{x^{2}}{x^{4}+16 x^{3}+91 x^{2}+256 x +259}$&$25$\\ \hline \end{longtable}"," ",0,"x^2/(x^4+16*x^3+91*x^2+256*x+259)","A"
1030,1,285,33,6.036000," ","int(((10*x^9+320*x^8+4480*x^7+35840*x^6+179200*x^5+573440*x^4+1146880*x^3+1310720*x^2+655360*x)*exp(4)^4+(40*x^9+1520*x^8+24320*x^7+216320*x^6+1177600*x^5+4034560*x^4+8519680*x^3+10158080*x^2+5242880*x)*exp(4)^3+(2*x^10+124*x^9+3536*x^8+55168*x^7+512000*x^6+2956288*x^5+10735616*x^4+23855104*x^3+29622272*x^2+15728640*x)*exp(4)^2+(4*x^10+200*x^9+4624*x^8+64512*x^7+581120*x^6+3414016*x^5+12881920*x^4+29884416*x^3+38535168*x^2+20971520*x)*exp(4)+2*x^10+106*x^9+2384*x^8+31232*x^7+267520*x^6+1545728*x^5+5914624*x^4+14155776*x^3+18874368*x^2+10485760*x)/((125*x^8+4000*x^7+56000*x^6+448000*x^5+2240000*x^4+7168000*x^3+14336000*x^2+16384000*x+8192000)*exp(4)^8+(1000*x^8+36000*x^7+560000*x^6+4928000*x^5+26880000*x^4+93184000*x^3+200704000*x^2+245760000*x+131072000)*exp(4)^7+(100*x^9+6700*x^8+184800*x^7+2766400*x^6+25088000*x^5+144614400*x^4+534732800*x^3+1231667200*x^2+1612185600*x+917504000)*exp(4)^6+(600*x^9+28600*x^8+644000*x^7+8780800*x^6+77952000*x^5+459110400*x^4+1776230400*x^3+4333568000*x^2+6042419200*x+3670016000)*exp(4)^5+(70*x^10+3740*x^9+100110*x^8+1702880*x^7+19918400*x^6+164334080*x^5+951324160*x^4+3757015040*x^3+9581035520*x^2+14155776000*x+9175040000)*exp(4)^4+(280*x^10+12080*x^9+251800*x^8+3407840*x^7+33366400*x^6+244779520*x^5+1335685120*x^4+5221580800*x^3+13668188160*x^2+21233664000*x+14680064000)*exp(4)^3+(20*x^11+1060*x^10+27260*x^9+436140*x^8+4837920*x^7+39852480*x^6+253757440*x^5+1257328640*x^4+4699586560*x^3+12332564480*x^2+19922944000*x+14680064000)*exp(4)^2+(40*x^11+1720*x^10+35320*x^9+462280*x^8+4308960*x^7+30293760*x^6+166676480*x^5+731463680*x^4+2527723520*x^3+6464471040*x^2+10695475200*x+8388608000)*exp(4)+5*x^12+180*x^11+3110*x^10+35140*x^9+297885*x^8+2030720*x^7+11408640*x^6+52879360*x^5+201646080*x^4+626524160*x^3+1515192320*x^2+2516582400*x+2097152000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{5} \left(-\frac{2 \,{\mathrm e}^{8}}{25}-\frac{4 \,{\mathrm e}^{4}}{25}-\frac{2}{25}\right)+x^{4} \left(-\frac{{\mathrm e}^{16}}{5}-\frac{4 \,{\mathrm e}^{12}}{5}-\frac{62 \,{\mathrm e}^{8}}{25}-4 \,{\mathrm e}^{4}-\frac{53}{25}\right)+x^{3} \left(-\frac{16 \,{\mathrm e}^{16}}{5}-16 \,{\mathrm e}^{12}-\frac{912 \,{\mathrm e}^{8}}{25}-\frac{1136 \,{\mathrm e}^{4}}{25}-\frac{576}{25}\right)+x^{2} \left(-\frac{96 \,{\mathrm e}^{16}}{5}-\frac{576 \,{\mathrm e}^{12}}{5}-\frac{6752 \,{\mathrm e}^{8}}{25}-\frac{7552 \,{\mathrm e}^{4}}{25}-\frac{3456}{25}\right)+x \left(-\frac{256 \,{\mathrm e}^{16}}{5}-\frac{1792 \,{\mathrm e}^{12}}{5}-\frac{23552 \,{\mathrm e}^{8}}{25}-\frac{27648 \,{\mathrm e}^{4}}{25}-\frac{12288}{25}\right)-\frac{256 \,{\mathrm e}^{16}}{5}-\frac{2048 \,{\mathrm e}^{12}}{5}-\frac{6144 \,{\mathrm e}^{8}}{5}-\frac{8192 \,{\mathrm e}^{4}}{5}-\frac{4096}{5}}{4096+\frac{12288 x}{5}+\frac{23552 x \,{\mathrm e}^{8}}{5}+6144 \,{\mathrm e}^{8}+256 \,{\mathrm e}^{16}+\frac{6752 x^{2} {\mathrm e}^{8}}{5}+\frac{27648 x \,{\mathrm e}^{4}}{5}+8192 \,{\mathrm e}^{4}+\frac{x^{6}}{5}+\frac{18 x^{5}}{5}+\frac{149 x^{4}}{5}+\frac{832 x^{3}}{5}+\frac{3712 x^{2}}{5}+96 x^{2} {\mathrm e}^{16}+256 x \,{\mathrm e}^{16}+\frac{1136 x^{3} {\mathrm e}^{4}}{5}+\frac{7552 x^{2} {\mathrm e}^{4}}{5}+\frac{62 x^{4} {\mathrm e}^{8}}{5}+\frac{912 x^{3} {\mathrm e}^{8}}{5}+x^{4} {\mathrm e}^{16}+1792 x \,{\mathrm e}^{12}+80 x^{3} {\mathrm e}^{12}+\frac{2 x^{5} {\mathrm e}^{8}}{5}+4 x^{4} {\mathrm e}^{12}+576 x^{2} {\mathrm e}^{12}+2048 \,{\mathrm e}^{12}+20 x^{4} {\mathrm e}^{4}+\frac{4 x^{5} {\mathrm e}^{4}}{5}+16 x^{3} {\mathrm e}^{16}}$&$285$\\ gosper&$-\frac{\left(5 x^{3} {\mathrm e}^{12}+60 x^{2} {\mathrm e}^{12}+15 x^{3} {\mathrm e}^{8}+2 x^{4} {\mathrm e}^{4}+240 x \,{\mathrm e}^{12}+240 x^{2} {\mathrm e}^{8}+39 x^{3} {\mathrm e}^{4}+2 x^{4}+320 \,{\mathrm e}^{12}+1200 x \,{\mathrm e}^{8}+396 x^{2} {\mathrm e}^{4}+37 x^{3}+1920 \,{\mathrm e}^{8}+2048 x \,{\mathrm e}^{4}+280 x^{2}+3840 \,{\mathrm e}^{4}+1216 x +2560\right) \left(x \,{\mathrm e}^{4}+4 \,{\mathrm e}^{4}+x +8\right)}{5 \left(20480+12288 x +23552 x \,{\mathrm e}^{8}+30720 \,{\mathrm e}^{8}+1280 \,{\mathrm e}^{16}+6752 x^{2} {\mathrm e}^{8}+27648 x \,{\mathrm e}^{4}+40960 \,{\mathrm e}^{4}+x^{6}+18 x^{5}+149 x^{4}+832 x^{3}+3712 x^{2}+480 x^{2} {\mathrm e}^{16}+1280 x \,{\mathrm e}^{16}+1136 x^{3} {\mathrm e}^{4}+7552 x^{2} {\mathrm e}^{4}+62 x^{4} {\mathrm e}^{8}+912 x^{3} {\mathrm e}^{8}+5 x^{4} {\mathrm e}^{16}+8960 x \,{\mathrm e}^{12}+400 x^{3} {\mathrm e}^{12}+2 x^{5} {\mathrm e}^{8}+20 x^{4} {\mathrm e}^{12}+2880 x^{2} {\mathrm e}^{12}+10240 \,{\mathrm e}^{12}+100 x^{4} {\mathrm e}^{4}+4 x^{5} {\mathrm e}^{4}+80 x^{3} {\mathrm e}^{16}\right)}$&$322$\\ norman&$\frac{\left(-\frac{2}{5}-\frac{4 \,{\mathrm e}^{4}}{5}-\frac{2 \,{\mathrm e}^{8}}{5}\right) x^{5}+\left(-256 \,{\mathrm e}^{16}-1792 \,{\mathrm e}^{12}-\frac{23552 \,{\mathrm e}^{8}}{5}-\frac{27648 \,{\mathrm e}^{4}}{5}-\frac{12288}{5}\right) x +\left(-96 \,{\mathrm e}^{16}-576 \,{\mathrm e}^{12}-\frac{6752 \,{\mathrm e}^{8}}{5}-\frac{7552 \,{\mathrm e}^{4}}{5}-\frac{3456}{5}\right) x^{2}+\left(-16 \,{\mathrm e}^{16}-80 \,{\mathrm e}^{12}-\frac{912 \,{\mathrm e}^{8}}{5}-\frac{1136 \,{\mathrm e}^{4}}{5}-\frac{576}{5}\right) x^{3}+\left(-{\mathrm e}^{16}-4 \,{\mathrm e}^{12}-\frac{62 \,{\mathrm e}^{8}}{5}-20 \,{\mathrm e}^{4}-\frac{53}{5}\right) x^{4}-256 \,{\mathrm e}^{16}-2048 \,{\mathrm e}^{12}-6144 \,{\mathrm e}^{8}-8192 \,{\mathrm e}^{4}-4096}{20480+12288 x +23552 x \,{\mathrm e}^{8}+30720 \,{\mathrm e}^{8}+1280 \,{\mathrm e}^{16}+6752 x^{2} {\mathrm e}^{8}+27648 x \,{\mathrm e}^{4}+40960 \,{\mathrm e}^{4}+x^{6}+18 x^{5}+149 x^{4}+832 x^{3}+3712 x^{2}+480 x^{2} {\mathrm e}^{16}+1280 x \,{\mathrm e}^{16}+1136 x^{3} {\mathrm e}^{4}+7552 x^{2} {\mathrm e}^{4}+62 x^{4} {\mathrm e}^{8}+912 x^{3} {\mathrm e}^{8}+5 x^{4} {\mathrm e}^{16}+8960 x \,{\mathrm e}^{12}+400 x^{3} {\mathrm e}^{12}+2 x^{5} {\mathrm e}^{8}+20 x^{4} {\mathrm e}^{12}+2880 x^{2} {\mathrm e}^{12}+10240 \,{\mathrm e}^{12}+100 x^{4} {\mathrm e}^{4}+4 x^{5} {\mathrm e}^{4}+80 x^{3} {\mathrm e}^{16}}$&$348$\\ default&$\frac{\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{12}+\left(8 \,{\mathrm e}^{4}+4 \,{\mathrm e}^{8}+36\right) \textit{\_Z}^{11}+\left(344 \,{\mathrm e}^{4}+212 \,{\mathrm e}^{8}+14 \,{\mathrm e}^{16}+56 \,{\mathrm e}^{12}+622\right) \textit{\_Z}^{10}+\left(7064 \,{\mathrm e}^{4}+120 \,{\mathrm e}^{20}+5452 \,{\mathrm e}^{8}+748 \,{\mathrm e}^{16}+20 \,{\mathrm e}^{24}+2416 \,{\mathrm e}^{12}+7028\right) \textit{\_Z}^{9}+\left(92456 \,{\mathrm e}^{4}+5720 \,{\mathrm e}^{20}+87228 \,{\mathrm e}^{8}+20022 \,{\mathrm e}^{16}+25 \,{\mathrm e}^{32}+200 \,{\mathrm e}^{28}+1340 \,{\mathrm e}^{24}+50360 \,{\mathrm e}^{12}+59577\right) \textit{\_Z}^{8}+\left(861792 \,{\mathrm e}^{4}+128800 \,{\mathrm e}^{20}+967584 \,{\mathrm e}^{8}+340576 \,{\mathrm e}^{16}+800 \,{\mathrm e}^{32}+7200 \,{\mathrm e}^{28}+36960 \,{\mathrm e}^{24}+681568 \,{\mathrm e}^{12}+406144\right) \textit{\_Z}^{7}+\left(6058752 \,{\mathrm e}^{4}+1756160 \,{\mathrm e}^{20}+7970496 \,{\mathrm e}^{8}+3983680 \,{\mathrm e}^{16}+11200 \,{\mathrm e}^{32}+112000 \,{\mathrm e}^{28}+553280 \,{\mathrm e}^{24}+6673280 \,{\mathrm e}^{12}+2281728\right) \textit{\_Z}^{6}+\left(33335296 \,{\mathrm e}^{4}+15590400 \,{\mathrm e}^{20}+50751488 \,{\mathrm e}^{8}+32866816 \,{\mathrm e}^{16}+89600 \,{\mathrm e}^{32}+985600 \,{\mathrm e}^{28}+5017600 \,{\mathrm e}^{24}+48955904 \,{\mathrm e}^{12}+10575872\right) \textit{\_Z}^{5}+\left(146292736 \,{\mathrm e}^{4}+91822080 \,{\mathrm e}^{20}+251465728 \,{\mathrm e}^{8}+190264832 \,{\mathrm e}^{16}+448000 \,{\mathrm e}^{32}+5376000 \,{\mathrm e}^{28}+28922880 \,{\mathrm e}^{24}+267137024 \,{\mathrm e}^{12}+40329216\right) \textit{\_Z}^{4}+\left(505544704 \,{\mathrm e}^{4}+355246080 \,{\mathrm e}^{20}+939917312 \,{\mathrm e}^{8}+751403008 \,{\mathrm e}^{16}+1433600 \,{\mathrm e}^{32}+18636800 \,{\mathrm e}^{28}+106946560 \,{\mathrm e}^{24}+1044316160 \,{\mathrm e}^{12}+125304832\right) \textit{\_Z}^{3}+\left(1292894208 \,{\mathrm e}^{4}+866713600 \,{\mathrm e}^{20}+2466512896 \,{\mathrm e}^{8}+1916207104 \,{\mathrm e}^{16}+2867200 \,{\mathrm e}^{32}+40140800 \,{\mathrm e}^{28}+246333440 \,{\mathrm e}^{24}+2733637632 \,{\mathrm e}^{12}+303038464\right) \textit{\_Z}^{2}+\left(2139095040 \,{\mathrm e}^{4}+1208483840 \,{\mathrm e}^{20}+3984588800 \,{\mathrm e}^{8}+2831155200 \,{\mathrm e}^{16}+3276800 \,{\mathrm e}^{32}+49152000 \,{\mathrm e}^{28}+322437120 \,{\mathrm e}^{24}+4246732800 \,{\mathrm e}^{12}+503316480\right) \textit{\_Z} +419430400+734003200 \,{\mathrm e}^{20}+2936012800 \,{\mathrm e}^{8}+1835008000 \,{\mathrm e}^{16}+1677721600 \,{\mathrm e}^{4}+1638400 \,{\mathrm e}^{32}+2936012800 \,{\mathrm e}^{12}+183500800 \,{\mathrm e}^{24}+26214400 \,{\mathrm e}^{28}\right)}{\sum}\frac{\left(\left(2 \,{\mathrm e}^{4}+{\mathrm e}^{8}+1\right) \textit{\_R}^{10}+\left(100 \,{\mathrm e}^{4}+62 \,{\mathrm e}^{8}+5 \,{\mathrm e}^{16}+20 \,{\mathrm e}^{12}+53\right) \textit{\_R}^{9}+8 \left(149+289 \,{\mathrm e}^{4}+221 \,{\mathrm e}^{8}+20 \,{\mathrm e}^{16}+95 \,{\mathrm e}^{12}\right) \textit{\_R}^{8}+64 \left(244+504 \,{\mathrm e}^{4}+431 \,{\mathrm e}^{8}+35 \,{\mathrm e}^{16}+190 \,{\mathrm e}^{12}\right) \textit{\_R}^{7}+640 \left(209+454 \,{\mathrm e}^{4}+400 \,{\mathrm e}^{8}+28 \,{\mathrm e}^{16}+169 \,{\mathrm e}^{12}\right) \textit{\_R}^{6}+256 \left(3019+6668 \,{\mathrm e}^{4}+5774 \,{\mathrm e}^{8}+350 \,{\mathrm e}^{16}+2300 \,{\mathrm e}^{12}\right) \textit{\_R}^{5}+2048 \left(1444+3145 \,{\mathrm e}^{4}+2621 \,{\mathrm e}^{8}+140 \,{\mathrm e}^{16}+985 \,{\mathrm e}^{12}\right) \textit{\_R}^{4}+16384 \left(432+912 \,{\mathrm e}^{4}+728 \,{\mathrm e}^{8}+35 \,{\mathrm e}^{16}+260 \,{\mathrm e}^{12}\right) \textit{\_R}^{3}+32768 \left(288+588 \,{\mathrm e}^{4}+452 \,{\mathrm e}^{8}+20 \,{\mathrm e}^{16}+155 \,{\mathrm e}^{12}\right) \textit{\_R}^{2}+327680 \left(16+24 \,{\mathrm e}^{8}+{\mathrm e}^{16}+32 \,{\mathrm e}^{4}+8 \,{\mathrm e}^{12}\right) \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{125829120+151519232 \textit{\_R} +302120960 \,{\mathrm e}^{20}+996147200 \,{\mathrm e}^{8}+707788800 \,{\mathrm e}^{16}+534773760 \,{\mathrm e}^{4}+13219840 \textit{\_R}^{4}+40329216 \textit{\_R}^{3}+3422592 \textit{\_R}^{5}+93978624 \textit{\_R}^{2}+1366818816 \textit{\_R} \,{\mathrm e}^{12}+819200 \,{\mathrm e}^{32}+1061683200 \,{\mathrm e}^{12}+80609280 \,{\mathrm e}^{24}+50 \,{\mathrm e}^{32} \textit{\_R}^{7}+6272000 \,{\mathrm e}^{24} \textit{\_R}^{4}+2634240 \,{\mathrm e}^{20} \textit{\_R}^{5}+1433600 \,{\mathrm e}^{32} \textit{\_R} +13977600 \,{\mathrm e}^{28} \textit{\_R}^{2}+19488000 \,{\mathrm e}^{20} \textit{\_R}^{4}+225400 \,{\mathrm e}^{20} \textit{\_R}^{6}+1075200 \,{\mathrm e}^{32} \textit{\_R}^{2}+5376000 \,{\mathrm e}^{28} \textit{\_R}^{3}+140 \,{\mathrm e}^{12} \textit{\_R}^{9}+11 \,{\mathrm e}^{8} \textit{\_R}^{10}+448000 \,{\mathrm e}^{32} \textit{\_R}^{3}+1232000 \,{\mathrm e}^{28} \textit{\_R}^{4}+829920 \,{\mathrm e}^{24} \textit{\_R}^{5}+123166720 \,{\mathrm e}^{24} \textit{\_R} +64680 \textit{\_R}^{6} {\mathrm e}^{24}+28922880 \textit{\_R}^{3} {\mathrm e}^{24}+12267 \textit{\_R}^{8} {\mathrm e}^{8}+1683 \textit{\_R}^{8} {\mathrm e}^{16}+63439360 \textit{\_R}^{4} {\mathrm e}^{8}+40044 \,{\mathrm e}^{16} \textit{\_R}^{7}+5436 \,{\mathrm e}^{12} \textit{\_R}^{8}+530 \,{\mathrm e}^{8} \textit{\_R}^{9}+596008 \,{\mathrm e}^{16} \textit{\_R}^{6}+100720 \,{\mathrm e}^{12} \textit{\_R}^{7}+10009920 \,{\mathrm e}^{12} \textit{\_R}^{5}+1693272 \,{\mathrm e}^{8} \textit{\_R}^{6}+251465728 \textit{\_R}^{3} {\mathrm e}^{8}+41083520 \textit{\_R}^{4} {\mathrm e}^{16}+267137024 \textit{\_R}^{3} {\mathrm e}^{12}+11955744 \textit{\_R}^{5} {\mathrm e}^{8}+61194880 \textit{\_R}^{4} {\mathrm e}^{12}+174456 \textit{\_R}^{7} {\mathrm e}^{8}+5975520 \textit{\_R}^{5} {\mathrm e}^{16}+1192744 \textit{\_R}^{6} {\mathrm e}^{12}+433356800 \textit{\_R} \,{\mathrm e}^{20}+22 \,{\mathrm e}^{4} \textit{\_R}^{10}+783237120 \textit{\_R}^{2} {\mathrm e}^{12}+41669120 \textit{\_R}^{4} {\mathrm e}^{4}+9088128 \textit{\_R}^{5} {\mathrm e}^{4}+1508136 \textit{\_R}^{6} {\mathrm e}^{4}+190264832 \textit{\_R}^{3} {\mathrm e}^{16}+12288000 \,{\mathrm e}^{28}+3 \textit{\_R}^{11}+119154 \textit{\_R}^{7}+15813 \textit{\_R}^{8}+99 \textit{\_R}^{10}+1555 \textit{\_R}^{9}+710752 \textit{\_R}^{6}+266434560 \textit{\_R}^{2} {\mathrm e}^{20}+1233256448 \textit{\_R} \,{\mathrm e}^{8}+704937984 \textit{\_R}^{2} {\mathrm e}^{8}+646447104 \textit{\_R} \,{\mathrm e}^{4}+563552256 \textit{\_R}^{2} {\mathrm e}^{16}+184912 \textit{\_R}^{7} {\mathrm e}^{4}+15894 \textit{\_R}^{8} {\mathrm e}^{4}+860 \textit{\_R}^{9} {\mathrm e}^{4}+958103552 \textit{\_R} \,{\mathrm e}^{16}+146292736 \textit{\_R}^{3} {\mathrm e}^{4}+379158528 \textit{\_R}^{2} {\mathrm e}^{4}+11440 \,{\mathrm e}^{20} \textit{\_R}^{7}+35 \textit{\_R}^{9} {\mathrm e}^{16}+16800 \,{\mathrm e}^{32} \textit{\_R}^{5}+12600 \,{\mathrm e}^{28} \textit{\_R}^{6}+2680 \,{\mathrm e}^{24} \textit{\_R}^{7}+270 \,{\mathrm e}^{20} \textit{\_R}^{8}+112000 \,{\mathrm e}^{32} \textit{\_R}^{4}+168000 \,{\mathrm e}^{28} \textit{\_R}^{5}+1400 \,{\mathrm e}^{32} \textit{\_R}^{6}+400 \,{\mathrm e}^{28} \textit{\_R}^{7}+45 \,{\mathrm e}^{24} \textit{\_R}^{8}+20070400 \,{\mathrm e}^{28} \textit{\_R} +80209920 \,{\mathrm e}^{24} \textit{\_R}^{2}+91822080 \,{\mathrm e}^{20} \textit{\_R}^{3}}\right)}{10}$&$1183$\\ \hline \end{longtable}"," ",0,"(x^5*(-2/25*exp(8)-4/25*exp(4)-2/25)+x^4*(-1/5*exp(16)-4/5*exp(12)-62/25*exp(8)-4*exp(4)-53/25)+x^3*(-16/5*exp(16)-16*exp(12)-912/25*exp(8)-1136/25*exp(4)-576/25)+x^2*(-96/5*exp(16)-576/5*exp(12)-6752/25*exp(8)-7552/25*exp(4)-3456/25)+x*(-256/5*exp(16)-1792/5*exp(12)-23552/25*exp(8)-27648/25*exp(4)-12288/25)-256/5*exp(16)-2048/5*exp(12)-6144/5*exp(8)-8192/5*exp(4)-4096/5)/(4096+12288/5*x+23552/5*x*exp(8)+6144*exp(8)+256*exp(16)+6752/5*x^2*exp(8)+27648/5*x*exp(4)+8192*exp(4)+1/5*x^6+18/5*x^5+149/5*x^4+832/5*x^3+3712/5*x^2+96*x^2*exp(16)+256*x*exp(16)+1136/5*x^3*exp(4)+7552/5*x^2*exp(4)+62/5*x^4*exp(8)+912/5*x^3*exp(8)+x^4*exp(16)+1792*x*exp(12)+80*x^3*exp(12)+2/5*x^5*exp(8)+4*x^4*exp(12)+576*x^2*exp(12)+2048*exp(12)+20*x^4*exp(4)+4/5*x^5*exp(4)+16*x^3*exp(16))","B"
1031,1,16,15,0.026000," ","int((2*x^2*ln(x)+2*x^3-11*x^2-12*x-6)/(x*ln(x)^2+(4*x^2-10*x)*ln(x)+4*x^3-20*x^2+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}+6}{2 x +\ln \left(x \right)-5}$&$16$\\ risch&$\frac{x^{2}+6}{2 x +\ln \left(x \right)-5}$&$16$\\ \hline \end{longtable}"," ",0,"(x^2+6)/(2*x+ln(x)-5)","A"
1032,1,31,23,0.189000," ","int((((16*x^3+120*x^2+200*x)*exp(4)+16*x^2-175)*exp((4*x^2*exp(4)-8*x)/(4*x+5))+(-16*x^3-136*x^2-265*x-150)*exp(x))/(16*x^2+40*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x -5\right) {\mathrm e}^{x}+\left(5+x \right) {\mathrm e}^{\frac{4 x \left(x \,{\mathrm e}^{4}-2\right)}{4 x +5}}$&$31$\\ norman&$\frac{25 x \,{\mathrm e}^{\frac{4 x^{2} {\mathrm e}^{4}-8 x}{4 x +5}}+4 x^{2} {\mathrm e}^{\frac{4 x^{2} {\mathrm e}^{4}-8 x}{4 x +5}}-25 \,{\mathrm e}^{x} x -4 \,{\mathrm e}^{x} x^{2}-25 \,{\mathrm e}^{x}+25 \,{\mathrm e}^{\frac{4 x^{2} {\mathrm e}^{4}-8 x}{4 x +5}}}{4 x +5}$&$96$\\ \hline \end{longtable}"," ",0,"(-x-5)*exp(x)+(5+x)*exp(4*x*(x*exp(4)-2)/(4*x+5))","A"
1033,1,11,11,0.016000," ","int(-8*exp(2*x)+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x -4 \,{\mathrm e}^{2 x}$&$11$\\ norman&$4 x -4 \,{\mathrm e}^{2 x}$&$11$\\ risch&$4 x -4 \,{\mathrm e}^{2 x}$&$11$\\ derivativedivides&$-4 \,{\mathrm e}^{2 x}+2 \ln \left({\mathrm e}^{2 x}\right)$&$15$\\ \hline \end{longtable}"," ",0,"4*x-4*exp(2*x)","A"
1034,1,15,14,0.052000," ","int(((3*exp(x)*exp(5*x)+(12*x+48)*exp(x))*ln(1/4*exp(5*x)+x+4)+15*exp(x)*exp(5*x)+12*exp(x))/(exp(5*x)+4*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \ln \left(\frac{{\mathrm e}^{5 x}}{4}+x +4\right) {\mathrm e}^{x}$&$15$\\ \hline \end{longtable}"," ",0,"3*ln(1/4*exp(5*x)+x+4)*exp(x)","A"
1035,1,29,24,0.085000," ","int(((-ln(x)^3+7*ln(x)^2-8*ln(x)+x*ln(5))*ln(x*exp(5)+4*x)+ln(x)^3-4*ln(x)^2+x*ln(5)*ln(x)-4*x*ln(5))/(x*ln(x)^3-4*x*ln(x)^2+x^2*ln(5)*ln(x)-4*x^2*ln(5))/ln(x*exp(5)+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(\left(4+{\mathrm e}^{5}\right) x \right)\right)-\ln \left(x \right)+\ln \left(\ln \left(x \right)-4\right)+\ln \left(x \ln \left(5\right)+\ln \left(x \right)^{2}\right)$&$29$\\ risch&$-\ln \left(x \right)+\ln \left(\ln \left(x \right)^{2} \ln \left(5\right) x +\ln \left(x \right)^{4}-4 x \ln \left(5\right) \ln \left(x \right)-4 \ln \left(x \right)^{3}\right)$&$33$\\ \hline \end{longtable}"," ",0,"ln(ln((4+exp(5))*x))-ln(x)+ln(ln(x)-4)+ln(x*ln(5)+ln(x)^2)","A"
1036,1,65,32,0.045000," ","int(((9*x^3+18*x^2-72*x-54)*exp(x)*ln(x)+(-3*x^6+6*x^5+33*x^4-36*x^3-108*x^2)*exp(x)^3+(3*x^6-6*x^5-33*x^4+36*x^3+108*x^2)*exp(x)^2+(-9*x^2+9*x+54)*exp(x))/(9*ln(x)^2+((6*x^3-6*x^2-36*x)*exp(x)^2+(-6*x^4+6*x^3+36*x^2)*exp(x))*ln(x)+(x^6-2*x^5-11*x^4+12*x^3+36*x^2)*exp(x)^4+(-2*x^7+4*x^6+22*x^5-24*x^4-72*x^3)*exp(x)^3+(x^8-2*x^7-11*x^6+12*x^5+36*x^4)*exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 \left(x^{2}-x -6\right) x \,{\mathrm e}^{x}}{{\mathrm e}^{x} x^{4}-{\mathrm e}^{2 x} x^{3}-{\mathrm e}^{x} x^{3}+{\mathrm e}^{2 x} x^{2}-6 \,{\mathrm e}^{x} x^{2}+6 x \,{\mathrm e}^{2 x}-3 \ln \left(x \right)}$&$65$\\ \hline \end{longtable}"," ",0,"-3*(x^2-x-6)*x*exp(x)/(exp(x)*x^4-exp(2*x)*x^3-exp(x)*x^3+exp(2*x)*x^2-6*exp(x)*x^2+6*x*exp(2*x)-3*ln(x))","A"
1037,1,16,15,0.012000," ","int((3*x-1)*exp(3/2*x^2-x-3/2)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{\frac{3}{2} x^{2}-x -\frac{3}{2}}-x$&$16$\\ norman&${\mathrm e}^{\frac{3}{2} x^{2}-x -\frac{3}{2}}-x$&$16$\\ risch&${\mathrm e}^{\frac{3}{2} x^{2}-x -\frac{3}{2}}-x$&$16$\\ \hline \end{longtable}"," ",0,"exp(3/2*x^2-x-3/2)-x","A"
1038,1,34,25,0.167000," ","int(((-5*x^2-6*x)*ln(5*x+6)^2+10*x^2*ln(5*x+6)+(-5*x^2-6*x)*ln(x)+5*x^4-4*x^3+5*x^2+26*x+24)*exp((x*ln(5*x+6)^2-2*x^2*ln(5*x+6)+x*ln(x)+x^3-2)/x^2)/(5*x^4+6*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{\frac{1}{x}} {\mathrm e}^{\frac{x \ln \left(5 x +6\right)^{2}+x^{3}-2}{x^{2}}}}{\left(5 x +6\right)^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"1/(5*x+6)^2*x^(1/x)*exp((x*ln(5*x+6)^2+x^3-2)/x^2)","A"
1039,1,34,24,0.068000," ","int((((x+1)*exp(2)-5*x-5)*exp(x)+(exp(1)+2*x+3)*exp(2)-5*exp(1)-8*x-15)/((exp(2)*x-5*x)*exp(x)+(x*exp(1)+x^2+3*x)*exp(2)-5*x*exp(1)-4*x^2-15*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left({\mathrm e}^{x}+\frac{{\mathrm e}^{3}+{\mathrm e}^{2} x +3 \,{\mathrm e}^{2}-5 \,{\mathrm e}-4 x -15}{{\mathrm e}^{2}-5}\right)$&$34$\\ norman&$\ln \left(x \right)+\ln \left({\mathrm e} \,{\mathrm e}^{2}+{\mathrm e}^{2} {\mathrm e}^{x}+{\mathrm e}^{2} x +3 \,{\mathrm e}^{2}-5 \,{\mathrm e}-5 \,{\mathrm e}^{x}-4 x -15\right)$&$36$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(exp(x)+(exp(3)+exp(2)*x+3*exp(2)-5*exp(1)-4*x-15)/(exp(2)-5))","A"
1040,1,108,24,0.379000," ","int((((-2*x^2+2*x)*exp(x)^2+(2*x^2-2*x)*ln(13/4)*exp(x)-1)*exp(exp(x)^2-2*ln(13/4)*exp(x)+ln(13/4)^2)-4)*exp(((-3*x+3)*exp(exp(x)^2-2*ln(13/4)*exp(x)+ln(13/4)^2)-11*x+12)/((x-1)*exp(exp(x)^2-2*ln(13/4)*exp(x)+ln(13/4)^2)+4*x-4))/((x^2-2*x+1)*exp(exp(x)^2-2*ln(13/4)*exp(x)+ln(13/4)^2)^2+(8*x^2-16*x+8)*exp(exp(x)^2-2*ln(13/4)*exp(x)+ln(13/4)^2)+16*x^2-32*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{3 \,16^{{\mathrm e}^{x}} \left(\frac{1}{169}\right)^{{\mathrm e}^{x}} \left(\frac{1}{28561}\right)^{\ln \left(2\right)} {\mathrm e}^{4 \ln \left(2\right)^{2}+\ln \left(13\right)^{2}+{\mathrm e}^{2 x}} x -3 \,16^{{\mathrm e}^{x}} \left(\frac{1}{169}\right)^{{\mathrm e}^{x}} \left(\frac{1}{28561}\right)^{\ln \left(2\right)} {\mathrm e}^{4 \ln \left(2\right)^{2}+\ln \left(13\right)^{2}+{\mathrm e}^{2 x}}+11 x -12}{\left(x -1\right) \left(16^{{\mathrm e}^{x}} \left(\frac{1}{169}\right)^{{\mathrm e}^{x}} \left(\frac{1}{28561}\right)^{\ln \left(2\right)} {\mathrm e}^{4 \ln \left(2\right)^{2}+\ln \left(13\right)^{2}+{\mathrm e}^{2 x}}+4\right)}}$&$108$\\ \hline \end{longtable}"," ",0,"exp(-(3*16^exp(x)*(1/169)^exp(x)*(1/28561)^ln(2)*exp(4*ln(2)^2+ln(13)^2+exp(2*x))*x-3*16^exp(x)*(1/169)^exp(x)*(1/28561)^ln(2)*exp(4*ln(2)^2+ln(13)^2+exp(2*x))+11*x-12)/(x-1)/(16^exp(x)*(1/169)^exp(x)*(1/28561)^ln(2)*exp(4*ln(2)^2+ln(13)^2+exp(2*x))+4))","B"
1041,1,42,24,0.117000," ","int(((2*x*exp(1/4)^2+4*x^2*exp(1/4)+2*x^3-2*x)*ln(x)^2+(44*x*exp(1/4)+48*x^2-16*x)*ln(x)+(4*x-16)*exp(1/4)+4*x^2+224*x+24)/((x*exp(1/4)^2+2*x^2*exp(1/4)+x^3)*ln(x)^2+(24*x*exp(1/4)+24*x^2)*ln(x)+144*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-2 \,{\mathrm e}^{\frac{1}{2}}+2\right) \ln \left(x \right)+20 x +2 x^{2} \ln \left(x \right)+16-24 \,{\mathrm e}^{\frac{1}{4}}}{\ln \left(x \right) {\mathrm e}^{\frac{1}{4}}+x \ln \left(x \right)+12}$&$42$\\ risch&$\frac{2 x \,{\mathrm e}^{\frac{1}{4}}+2 x^{2}+2}{x +{\mathrm e}^{\frac{1}{4}}}-\frac{4 \left(x \,{\mathrm e}^{\frac{1}{4}}+x^{2}-4 \,{\mathrm e}^{\frac{1}{4}}-4 x +6\right)}{\left(x +{\mathrm e}^{\frac{1}{4}}\right) \left(\ln \left(x \right) {\mathrm e}^{\frac{1}{4}}+x \ln \left(x \right)+12\right)}$&$56$\\ \hline \end{longtable}"," ",0,"((-2*exp(1/4)^2+2)*ln(x)+20*x+2*x^2*ln(x)+16-24*exp(1/4))/(ln(x)*exp(1/4)+x*ln(x)+12)","A"
1042,1,16,27,0.058000," ","int(1/25*((3+4*x)*exp(3-2*x)^2+50*x^5)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{{\mathrm e}^{6-4 x}}{25 x^{3}}$&$16$\\ norman&$\frac{x^{5}-\frac{{\mathrm e}^{6-4 x}}{25}}{x^{3}}$&$19$\\ derivativedivides&$-\frac{9}{2}+3 x +\frac{\left(3-2 x \right)^{2}}{4}-\frac{{\mathrm e}^{6-4 x}}{25 x^{3}}$&$28$\\ default&$-\frac{9}{2}+3 x +\frac{\left(3-2 x \right)^{2}}{4}-\frac{{\mathrm e}^{6-4 x}}{25 x^{3}}$&$28$\\ \hline \end{longtable}"," ",0,"x^2-1/25*exp(6-4*x)/x^3","A"
1043,1,557,24,0.202000," ","int((ln(x/exp(x))^2+(2*exp(5*exp(1)^2+45)-2*x+2)*ln(x/exp(x))+exp(5*exp(1)^2+45)^2+(-2*x+2)*exp(5*exp(1)^2+45)+1)*exp(x*ln(x/exp(x))^2+2*x*exp(5*exp(1)^2+45)*ln(x/exp(x))+x*exp(5*exp(1)^2+45)^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{i \pi  \,\mathrm{csgn}\left(i x \right) x} x^{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) x} \left({\mathrm e}^{x}\right)^{-i \pi  \,\mathrm{csgn}\left(i x \right) x} \left({\mathrm e}^{x}\right)^{-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) x} x^{2 x \,{\mathrm e}^{5 \,{\mathrm e}^{2}+45}} \left({\mathrm e}^{x}\right)^{-2 x \ln \left(x \right)} \left({\mathrm e}^{x}\right)^{-2 x \,{\mathrm e}^{5 \,{\mathrm e}^{2}+45}} \left({\mathrm e}^{x}\right)^{i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) x} x^{-i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) x} \left({\mathrm e}^{x}\right)^{i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) x} x^{-i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) x} {\mathrm e}^{\frac{x \left(-\pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{6}+2 \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{5} \mathrm{csgn}\left(i x \right)+2 \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{5} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)-\pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}-4 \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)-\pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{4} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)+2 \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \right)-\pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)^{2}-4 i {\mathrm e}^{5 \,{\mathrm e}^{2}+45} \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}+4 i {\mathrm e}^{5 \,{\mathrm e}^{2}+45} \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \right)+4 i {\mathrm e}^{5 \,{\mathrm e}^{2}+45} \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)-4 i {\mathrm e}^{5 \,{\mathrm e}^{2}+45} \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)+4 \ln \left(x \right)^{2}+4 \ln \left({\mathrm e}^{x}\right)^{2}+4 \,{\mathrm e}^{10 \,{\mathrm e}^{2}+90}+4\right)}{4}}$&$557$\\ \hline \end{longtable}"," ",0,"x^(I*Pi*csgn(I*x)*x)*x^(I*Pi*csgn(I*exp(-x))*x)*exp(x)^(-I*Pi*csgn(I*x)*x)*exp(x)^(-I*Pi*csgn(I*exp(-x))*x)*x^(2*x*exp(5*exp(2)+45))*exp(x)^(-2*x*ln(x))*exp(x)^(-2*x*exp(5*exp(2)+45))*exp(x)^(I*Pi*csgn(I*x*exp(-x))*csgn(I*x)*csgn(I*exp(-x))*x)*x^(-I*Pi*csgn(I*x*exp(-x))*csgn(I*x)*csgn(I*exp(-x))*x)*exp(x)^(I*Pi*csgn(I*x*exp(-x))*x)*x^(-I*Pi*csgn(I*x*exp(-x))*x)*exp(1/4*x*(-Pi^2*csgn(I*x*exp(-x))^6+2*Pi^2*csgn(I*x*exp(-x))^5*csgn(I*x)+2*Pi^2*csgn(I*x*exp(-x))^5*csgn(I*exp(-x))-Pi^2*csgn(I*x*exp(-x))^4*csgn(I*x)^2-4*Pi^2*csgn(I*x*exp(-x))^4*csgn(I*x)*csgn(I*exp(-x))-Pi^2*csgn(I*x*exp(-x))^4*csgn(I*exp(-x))^2+2*Pi^2*csgn(I*x*exp(-x))^3*csgn(I*x)^2*csgn(I*exp(-x))+2*Pi^2*csgn(I*x*exp(-x))^3*csgn(I*exp(-x))^2*csgn(I*x)-Pi^2*csgn(I*x*exp(-x))^2*csgn(I*x)^2*csgn(I*exp(-x))^2-4*I*exp(5*exp(2)+45)*Pi*csgn(I*x*exp(-x))^3+4*I*exp(5*exp(2)+45)*Pi*csgn(I*x*exp(-x))^2*csgn(I*x)+4*I*exp(5*exp(2)+45)*Pi*csgn(I*x*exp(-x))^2*csgn(I*exp(-x))-4*I*exp(5*exp(2)+45)*Pi*csgn(I*x*exp(-x))*csgn(I*x)*csgn(I*exp(-x))+4*ln(x)^2+4*ln(exp(x))^2+4*exp(10*exp(2)+90)+4))","C"
1044,1,29,20,0.020000," ","int((-x*ln(x)-32*x^4-48*x^3-1920*x^2+2044*x+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-8 x^{4}-16 x^{3}+2045 x -x \ln \left(x \right)-960 x^{2}+2 \ln \left(x \right)$&$29$\\ norman&$-8 x^{4}-16 x^{3}+2045 x -x \ln \left(x \right)-960 x^{2}+2 \ln \left(x \right)$&$29$\\ risch&$-8 x^{4}-16 x^{3}+2045 x -x \ln \left(x \right)-960 x^{2}+2 \ln \left(x \right)$&$29$\\ \hline \end{longtable}"," ",0,"-8*x^4-16*x^3+2045*x-x*ln(x)-960*x^2+2*ln(x)","A"
1045,1,20,24,0.028000," ","int(((250*x^2-5)*exp(25*x^2)-x^2-x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\ln \left(x \right)+\frac{5 \,{\mathrm e}^{25 x^{2}}}{x}$&$20$\\ risch&$-x -\ln \left(x \right)+\frac{5 \,{\mathrm e}^{25 x^{2}}}{x}$&$20$\\ norman&$\frac{-x^{2}+5 \,{\mathrm e}^{25 x^{2}}}{x}-\ln \left(x \right)$&$24$\\ \hline \end{longtable}"," ",0,"-x-ln(x)+5*exp(x^2)^25/x","A"
1046,1,12,22,0.007000," ","int((-exp(1)-1)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-{\mathrm e}^{-1} \left(1+{\mathrm e}\right) x$&$12$\\ default&$\left(-{\mathrm e}-1\right) {\mathrm e}^{-1} x$&$13$\\ risch&$-{\mathrm e}^{-1} x \,{\mathrm e}-{\mathrm e}^{-1} x$&$14$\\ \hline \end{longtable}"," ",0,"-1/exp(1)*(1+exp(1))*x","A"
1047,1,31,29,0.465000," ","int((8*x^4*exp(exp(3)+3)^2*ln(x)*ln(3/ln(x))-48*x^3*exp(exp(3)+3)^2*ln(x)+8*x^4*exp(exp(3)+3)^2)/(x^3*ln(x)*ln(3/ln(x))^3-9*x^2*ln(x)*ln(3/ln(x))^2+27*x*ln(x)*ln(3/ln(x))-27*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{16 x^{4} {\mathrm e}^{2 \,{\mathrm e}^{3}+6}}{\left(2 i x \ln \left(3\right)-2 i x \ln \left(\ln \left(x \right)\right)-6 i\right)^{2}}$&$31$\\ \hline \end{longtable}"," ",0,"-16/(2*I*x*ln(3)-2*I*x*ln(ln(x))-6*I)^2*x^4*exp(2*exp(3)+6)","C"
1048,1,5,4,0.006000," ","int(exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \,{\mathrm e}$&$5$\\ norman&$x \,{\mathrm e}$&$5$\\ risch&$x \,{\mathrm e}$&$5$\\ \hline \end{longtable}"," ",0,"x*exp(1)","A"
1049,1,1648,26,3.797000," ","int((((-8*x+8)*ln(2/5*(4*x-4)*ln(2)/x)^2+(-2*x^2+2*x)*ln(2/5*(4*x-4)*ln(2)/x))*ln((4*ln(2/5*(4*x-4)*ln(2)/x)+x)/ln(2/5*(4*x-4)*ln(2)/x))+(x^2-x)*ln(x^2)*ln(2/5*(4*x-4)*ln(2)/x)-x*ln(x^2))*exp(ln((4*ln(2/5*(4*x-4)*ln(2)/x)+x)/ln(2/5*(4*x-4)*ln(2)/x))/ln(x^2))/((4*x^2-4*x)*ln(x^2)^2*ln(2/5*(4*x-4)*ln(2)/x)^2+(x^3-x^2)*ln(x^2)^2*ln(2/5*(4*x-4)*ln(2)/x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$1648$\\ \hline \end{longtable}"," ",0,"exp((-I*Pi*csgn(I/(-Pi*csgn(I*(x-1)/x)^3+Pi*csgn(I/x)*csgn(I*(x-1)/x)^2+Pi*csgn(I*(x-1))*csgn(I*(x-1)/x)^2-Pi*csgn(I/x)*csgn(I*(x-1))*csgn(I*(x-1)/x)+2*I*ln(x)-2*I*ln(x-1)-2*I*ln(8/5*ln(2)))*(-1/2*I*x-Pi*csgn(I*(x-1)/x)^3-Pi*csgn(I/x)*csgn(I*(x-1))*csgn(I*(x-1)/x)+2*I*ln(x)-2*I*ln(x-1)+Pi*csgn(I/x)*csgn(I*(x-1)/x)^2+Pi*csgn(I*(x-1))*csgn(I*(x-1)/x)^2-2*I*ln(8/5*ln(2))))^3-I*Pi*csgn(I/(-Pi*csgn(I*(x-1)/x)^3+Pi*csgn(I/x)*csgn(I*(x-1)/x)^2+Pi*csgn(I*(x-1))*csgn(I*(x-1)/x)^2-Pi*csgn(I/x)*csgn(I*(x-1))*csgn(I*(x-1)/x)+2*I*ln(x)-2*I*ln(x-1)-2*I*ln(8/5*ln(2)))*(-1/2*I*x-Pi*csgn(I*(x-1)/x)^3-Pi*csgn(I/x)*csgn(I*(x-1))*csgn(I*(x-1)/x)+2*I*ln(x)-2*I*ln(x-1)+Pi*csgn(I/x)*csgn(I*(x-1)/x)^2+Pi*csgn(I*(x-1))*csgn(I*(x-1)/x)^2-2*I*ln(8/5*ln(2))))^2*csgn(I/(-Pi*csgn(I*(x-1)/x)^3+Pi*csgn(I/x)*csgn(I*(x-1)/x)^2+Pi*csgn(I*(x-1))*csgn(I*(x-1)/x)^2-Pi*csgn(I/x)*csgn(I*(x-1))*csgn(I*(x-1)/x)+2*I*ln(x)-2*I*ln(x-1)-2*I*ln(8/5*ln(2))))-I*Pi*csgn(I/(-Pi*csgn(I*(x-1)/x)^3+Pi*csgn(I/x)*csgn(I*(x-1)/x)^2+Pi*csgn(I*(x-1))*csgn(I*(x-1)/x)^2-Pi*csgn(I/x)*csgn(I*(x-1))*csgn(I*(x-1)/x)+2*I*ln(x)-2*I*ln(x-1)-2*I*ln(8/5*ln(2)))*(-1/2*I*x-Pi*csgn(I*(x-1)/x)^3-Pi*csgn(I/x)*csgn(I*(x-1))*csgn(I*(x-1)/x)+2*I*ln(x)-2*I*ln(x-1)+Pi*csgn(I/x)*csgn(I*(x-1)/x)^2+Pi*csgn(I*(x-1))*csgn(I*(x-1)/x)^2-2*I*ln(8/5*ln(2))))^2*csgn(I*(-1/2*I*x-Pi*csgn(I*(x-1)/x)^3-Pi*csgn(I/x)*csgn(I*(x-1))*csgn(I*(x-1)/x)+2*I*ln(x)-2*I*ln(x-1)+Pi*csgn(I/x)*csgn(I*(x-1)/x)^2+Pi*csgn(I*(x-1))*csgn(I*(x-1)/x)^2-2*I*ln(8/5*ln(2))))-I*Pi*csgn(I/(-Pi*csgn(I*(x-1)/x)^3+Pi*csgn(I/x)*csgn(I*(x-1)/x)^2+Pi*csgn(I*(x-1))*csgn(I*(x-1)/x)^2-Pi*csgn(I/x)*csgn(I*(x-1))*csgn(I*(x-1)/x)+2*I*ln(x)-2*I*ln(x-1)-2*I*ln(8/5*ln(2)))*(-1/2*I*x-Pi*csgn(I*(x-1)/x)^3-Pi*csgn(I/x)*csgn(I*(x-1))*csgn(I*(x-1)/x)+2*I*ln(x)-2*I*ln(x-1)+Pi*csgn(I/x)*csgn(I*(x-1)/x)^2+Pi*csgn(I*(x-1))*csgn(I*(x-1)/x)^2-2*I*ln(8/5*ln(2))))*csgn(I/(-Pi*csgn(I*(x-1)/x)^3+Pi*csgn(I/x)*csgn(I*(x-1)/x)^2+Pi*csgn(I*(x-1))*csgn(I*(x-1)/x)^2-Pi*csgn(I/x)*csgn(I*(x-1))*csgn(I*(x-1)/x)+2*I*ln(x)-2*I*ln(x-1)-2*I*ln(8/5*ln(2))))*csgn(I*(-1/2*I*x-Pi*csgn(I*(x-1)/x)^3-Pi*csgn(I/x)*csgn(I*(x-1))*csgn(I*(x-1)/x)+2*I*ln(x)-2*I*ln(x-1)+Pi*csgn(I/x)*csgn(I*(x-1)/x)^2+Pi*csgn(I*(x-1))*csgn(I*(x-1)/x)^2-2*I*ln(8/5*ln(2))))+4*ln(2)-2*ln(Pi*csgn(I*(x-1)/x)^3+Pi*csgn(I/x)*csgn(I*(x-1))*csgn(I*(x-1)/x)-2*I*ln(x)+2*I*ln(x-1)-Pi*csgn(I/x)*csgn(I*(x-1)/x)^2-Pi*csgn(I*(x-1))*csgn(I*(x-1)/x)^2+2*I*(3*ln(2)-ln(5)+ln(ln(2))))+2*ln(1/2*I*x+Pi*csgn(I*(x-1)/x)^3+Pi*csgn(I/x)*csgn(I*(x-1))*csgn(I*(x-1)/x)-2*I*ln(x)+2*I*ln(x-1)-Pi*csgn(I/x)*csgn(I*(x-1)/x)^2-Pi*csgn(I*(x-1))*csgn(I*(x-1)/x)^2+2*I*(3*ln(2)-ln(5)+ln(ln(2)))))/(-I*Pi*csgn(I*x^2)^3+2*I*Pi*csgn(I*x^2)^2*csgn(I*x)-I*Pi*csgn(I*x)^2*csgn(I*x^2)+4*ln(x)))","C"
1050,1,66,31,0.095000," ","int(((-32*exp(1)-32*x^2)*exp(1-x)^2+((32*exp(1)+32*x^2)*exp(1/2*(-2*exp(1)+x)/x)-64*x*exp(1)-32*x^3+32*x^2)*exp(1-x)+(32*x*exp(1)-32*x^2)*exp(1/2*(-2*exp(1)+x)/x)-32*x^2*exp(1)+32*x^3)/x^2/exp(1/2*(-2*exp(1)+x)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-32 x -32 \,{\mathrm e}^{1-x}\right) {\mathrm e}^{\frac{2 \,{\mathrm e}-x}{2 x}}+\left(16 x^{2}+32 x \,{\mathrm e}^{1-x}+16 \,{\mathrm e}^{-2 x +2}\right) {\mathrm e}^{\frac{2 \,{\mathrm e}-x}{x}}$&$66$\\ \hline \end{longtable}"," ",0,"(-32*x-32*exp(1-x))*exp(1/2*(2*exp(1)-x)/x)+(16*x^2+32*x*exp(1-x)+16*exp(-2*x+2))*exp((2*exp(1)-x)/x)","B"
1051,1,28,21,0.039000," ","int(1/4*((-4*exp(x)*x-4*x)*ln(x)+(-8*x-4)*exp(x)+3*x^3+8*x^2-12*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x -{\mathrm e}^{x} \ln \left(x \right)-2 \,{\mathrm e}^{x}+x^{2}+\frac{x^{3}}{4}-x \ln \left(x \right)$&$28$\\ norman&$-2 x -{\mathrm e}^{x} \ln \left(x \right)-2 \,{\mathrm e}^{x}+x^{2}+\frac{x^{3}}{4}-x \ln \left(x \right)$&$28$\\ risch&$\frac{\left(-4 x -4 \,{\mathrm e}^{x}\right) \ln \left(x \right)}{4}+\frac{x^{3}}{4}+x^{2}-2 x -2 \,{\mathrm e}^{x}$&$29$\\ \hline \end{longtable}"," ",0,"-2*x-exp(x)*ln(x)-2*exp(x)+x^2+1/4*x^3-x*ln(x)","A"
1052,1,21,22,0.050000," ","int(((exp(x)-5*x^2)*ln(exp(x)-5*x^2)-exp(x)*x+10*x^2)*exp(x/ln(exp(x)-5*x^2))/((exp(x)-5*x^2)*ln(exp(x)-5*x^2)^2*exp(x/ln(exp(x)-5*x^2))+(-exp(4)*exp(x)+5*x^2*exp(4))*ln(exp(x)-5*x^2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-{\mathrm e}^{4}+{\mathrm e}^{\frac{x}{\ln \left({\mathrm e}^{x}-5 x^{2}\right)}}\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(-exp(4)+exp(x/ln(exp(x)-5*x^2)))","A"
1053,1,16,21,0.398000," ","int((4*x^2-78*x+116)/(2*x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-36 x +x^{2}+4 \ln \left(2 x -3\right)$&$16$\\ norman&$-36 x +x^{2}+4 \ln \left(2 x -3\right)$&$16$\\ risch&$-36 x +x^{2}+4 \ln \left(2 x -3\right)$&$16$\\ meijerg&$4 \ln \left(1-\frac{2 x}{3}\right)+\frac{x \left(2 x +6\right)}{2}-39 x$&$21$\\ \hline \end{longtable}"," ",0,"-36*x+x^2+4*ln(2*x-3)","A"
1054,1,21,24,0.049000," ","int(((-12*x^3+48*x)*exp(1)+2*x^5-x^4+16*x^3-8*x^2+32*x-16)/(x^5+8*x^3+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -\ln \left(x \right)+\frac{12 \,{\mathrm e} x}{x^{2}+4}$&$21$\\ risch&$2 x -\ln \left(x \right)+\frac{12 \,{\mathrm e} x}{x^{2}+4}$&$21$\\ norman&$\frac{\left(8+12 \,{\mathrm e}\right) x +2 x^{3}}{x^{2}+4}-\ln \left(x \right)$&$28$\\ \hline \end{longtable}"," ",0,"2*x-ln(x)+12*exp(1)*x/(x^2+4)","A"
1055,1,13,23,0.024000," ","int((6*exp(x)-20)*exp(-6*exp(x)+20*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-{\mathrm e}^{-6 \,{\mathrm e}^{x}+20 x +16}$&$13$\\ risch&$-{\mathrm e}^{-6 \,{\mathrm e}^{x}+20 x +16}$&$13$\\ default&$-20 \,{\mathrm e}^{16} \left(-\frac{{\mathrm e}^{-6 \,{\mathrm e}^{x}} {\mathrm e}^{19 x}}{6}-\frac{19 \,{\mathrm e}^{18 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{36}-\frac{19 \,{\mathrm e}^{17 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{12}-\frac{323 \,{\mathrm e}^{16 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{72}-\frac{323 \,{\mathrm e}^{15 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{27}-\frac{1615 \,{\mathrm e}^{14 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{54}-\frac{11305 \,{\mathrm e}^{13 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{162}-\frac{146965 \,{\mathrm e}^{12 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{972}-\frac{146965 \,{\mathrm e}^{11 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{486}-\frac{1616615 \,{\mathrm e}^{10 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{2916}-\frac{8083075 \,{\mathrm e}^{9 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{8748}-\frac{8083075 \,{\mathrm e}^{8 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{5832}-\frac{8083075 \,{\mathrm e}^{7 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{4374}-\frac{56581525 \,{\mathrm e}^{6 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{26244}-\frac{56581525 \,{\mathrm e}^{5 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{26244}-\frac{282907625 \,{\mathrm e}^{4 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{157464}-\frac{282907625 \,{\mathrm e}^{3 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{236196}-\frac{282907625 \,{\mathrm e}^{2 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{472392}-\frac{282907625 \,{\mathrm e}^{x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{1417176}-\frac{282907625 \,{\mathrm e}^{-6 \,{\mathrm e}^{x}}}{8503056}\right)+6 \,{\mathrm e}^{16} \left(-\frac{{\mathrm e}^{-6 \,{\mathrm e}^{x}} {\mathrm e}^{20 x}}{6}-\frac{5 \,{\mathrm e}^{-6 \,{\mathrm e}^{x}} {\mathrm e}^{19 x}}{9}-\frac{95 \,{\mathrm e}^{18 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{54}-\frac{95 \,{\mathrm e}^{17 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{18}-\frac{1615 \,{\mathrm e}^{16 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{108}-\frac{3230 \,{\mathrm e}^{15 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{81}-\frac{8075 \,{\mathrm e}^{14 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{81}-\frac{56525 \,{\mathrm e}^{13 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{243}-\frac{734825 \,{\mathrm e}^{12 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{1458}-\frac{734825 \,{\mathrm e}^{11 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{729}-\frac{8083075 \,{\mathrm e}^{10 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{4374}-\frac{40415375 \,{\mathrm e}^{9 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{13122}-\frac{40415375 \,{\mathrm e}^{8 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{8748}-\frac{40415375 \,{\mathrm e}^{7 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{6561}-\frac{282907625 \,{\mathrm e}^{6 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{39366}-\frac{282907625 \,{\mathrm e}^{5 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{39366}-\frac{1414538125 \,{\mathrm e}^{4 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{236196}-\frac{1414538125 \,{\mathrm e}^{3 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{354294}-\frac{1414538125 \,{\mathrm e}^{2 x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{708588}-\frac{1414538125 \,{\mathrm e}^{x} {\mathrm e}^{-6 \,{\mathrm e}^{x}}}{2125764}-\frac{1414538125 \,{\mathrm e}^{-6 \,{\mathrm e}^{x}}}{12754584}\right)$&$451$\\ \hline \end{longtable}"," ",0,"-exp(-6*exp(x)+20*x+16)","A"
1056,1,26,24,0.058000," ","int((exp(x)*ln(5*exp(x)/(ln(5)-exp(5)))+6*exp(x)-1)/(exp(x)*ln(5*exp(x)/(ln(5)-exp(5)))+5*exp(x)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(-{\mathrm e}^{x} \ln \left(\frac{5 \,{\mathrm e}^{x}}{\ln \left(5\right)-{\mathrm e}^{5}}\right)+x -5 \,{\mathrm e}^{x}\right)$&$26$\\ derivativedivides&$\ln \left({\mathrm e}^{x} \ln \left(\frac{5 \,{\mathrm e}^{x}}{\ln \left(5\right)-{\mathrm e}^{5}}\right)+5 \,{\mathrm e}^{x}-x \right)$&$27$\\ default&$\ln \left({\mathrm e}^{x} \ln \left(\frac{5 \,{\mathrm e}^{x}}{\ln \left(5\right)-{\mathrm e}^{5}}\right)+5 \,{\mathrm e}^{x}-x \right)$&$27$\\ risch&$x +\ln \left(\ln \left({\mathrm e}^{x}\right)-\frac{i \left(2 \,{\mathrm e}^{x} \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2}-2 \,{\mathrm e}^{x} \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{3}+2 i {\mathrm e}^{x} \ln \left(5\right)-2 i {\mathrm e}^{x} \ln \left(-\ln \left(5\right)+{\mathrm e}^{5}\right)-2 \,{\mathrm e}^{x} \pi -2 i x +10 i {\mathrm e}^{x}\right) {\mathrm e}^{-x}}{2}\right)$&$76$\\ \hline \end{longtable}"," ",0,"ln(-exp(x)*ln(5*exp(x)/(ln(5)-exp(5)))+x-5*exp(x))","A"
1057,1,14,15,0.055000," ","int((2-x)/((4*x-4)*ln(x-1)+(4*x-4)*exp(2)-4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(-x +{\mathrm e}^{2}+\ln \left(x -1\right)\right)}{4}$&$14$\\ risch&$\frac{\ln \left(-x +{\mathrm e}^{2}+\ln \left(x -1\right)\right)}{4}$&$14$\\ \hline \end{longtable}"," ",0,"1/4*ln(-x+exp(2)+ln(x-1))","A"
1058,1,30,30,0.076000," ","int(((8*x-6)*exp(1)-10*x^4+60*x^2-40*x)/((x^4-2*x^2+x)*exp(1)+5*x^5-10*x^3+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x -1\right)-6 \ln \left(x \right)+2 \ln \left(x^{2}+x -1\right)-2 \ln \left(5 x +{\mathrm e}\right)$&$30$\\ norman&$2 \ln \left(x -1\right)-6 \ln \left(x \right)+2 \ln \left(x^{2}+x -1\right)-2 \ln \left(5 x +{\mathrm e}\right)$&$30$\\ risch&$-2 \ln \left(-{\mathrm e}-5 x \right)-6 \ln \left(x \right)+2 \ln \left(-x^{3}+2 x -1\right)$&$30$\\ \hline \end{longtable}"," ",0,"2*ln(x-1)-6*ln(x)+2*ln(x^2+x-1)-2*ln(5*x+exp(1))","A"
1059,1,8,17,0.039000," ","int((-3*x+3)*exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{3 \,{\mathrm e}^{x}}{x}$&$8$\\ default&$-\frac{3 \,{\mathrm e}^{x}}{x}$&$8$\\ norman&$-\frac{3 \,{\mathrm e}^{x}}{x}$&$8$\\ risch&$-\frac{3 \,{\mathrm e}^{x}}{x}$&$8$\\ meijerg&$-3+\frac{3 x +3}{x}-\frac{3 \,{\mathrm e}^{x}}{x}-\frac{3}{x}$&$25$\\ \hline \end{longtable}"," ",0,"-3*exp(x)/x","A"
1060,1,23,21,0.040000," ","int((-4*x*ln(5)-2*x*exp(1)+10*x)/(2*ln(5)+exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x^{2} \left(2 \ln \left(5\right)+{\mathrm e}-5\right)}{2 \ln \left(5\right)+{\mathrm e}}$&$23$\\ norman&$-\frac{x^{2} \left(2 \ln \left(5\right)+{\mathrm e}-5\right)}{2 \ln \left(5\right)+{\mathrm e}}$&$23$\\ default&$\frac{-2 x^{2} \ln \left(5\right)-x^{2} {\mathrm e}+5 x^{2}}{2 \ln \left(5\right)+{\mathrm e}}$&$31$\\ risch&$-\frac{2 x^{2} \ln \left(5\right)}{2 \ln \left(5\right)+{\mathrm e}}-\frac{x^{2} {\mathrm e}}{2 \ln \left(5\right)+{\mathrm e}}+\frac{5 x^{2}}{2 \ln \left(5\right)+{\mathrm e}}$&$48$\\ \hline \end{longtable}"," ",0,"-x^2*(2*ln(5)+exp(1)-5)/(2*ln(5)+exp(1))","A"
1061,1,11,15,0.064000," ","int(12*x*ln(3/4)*exp(x)*exp(-ln(x)+12*exp(x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\frac{3}{4}\right) {\mathrm e}^{4} {\mathrm e}^{12 \,{\mathrm e}^{x}}$&$11$\\ norman&$\left(\ln \left(3\right)-2 \ln \left(2\right)\right) x \,{\mathrm e}^{-\ln \left(x \right)+12 \,{\mathrm e}^{x}+4}$&$21$\\ risch&${\mathrm e}^{4+12 \,{\mathrm e}^{x}} \ln \left(3\right)-2 \,{\mathrm e}^{4+12 \,{\mathrm e}^{x}} \ln \left(2\right)$&$23$\\ \hline \end{longtable}"," ",0,"ln(3/4)*exp(4)*exp(exp(x))^12","A"
1062,1,42,29,0.051000," ","int(1/2*(((2*x^4-4*x^3-20*x^2)*exp(1)+2*x^5-4*x^4-20*x^3)*exp(x^2)+(2*x^3-7*x^2-16*x+10)*exp(1)+2*x^4-8*x^3-14*x^2+20*x)/exp(x)/exp(exp(x^2)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x^{2} {\mathrm e}+x^{3}-2 x \,{\mathrm e}-2 x^{2}-10 \,{\mathrm e}-10 x \right) x \,{\mathrm e}^{-2 x -{\mathrm e}^{x^{2}}}}{2}$&$42$\\ \hline \end{longtable}"," ",0,"-1/2*(x^2*exp(1)+x^3-2*x*exp(1)-2*x^2-10*exp(1)-10*x)*x*exp(-2*x-exp(x^2))","A"
1063,1,17,20,0.200000," ","int(((-2*x^2-60)*exp(2*ln(x)-2*ln(-x^2+30)-2)+x^2-30)/(x^3-30*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-2} x^{2}}{\left(x^{2}-30\right)^{2}}+\ln \left(x \right)$&$17$\\ norman&$\frac{{\mathrm e}^{-2} x^{2}}{\left(x^{2}-30\right)^{2}}+\ln \left(x \right)$&$19$\\ default&$\ln \left(x \right)-2 \,{\mathrm e}^{-2} \left(-\frac{15}{\left(x^{2}-30\right)^{2}}-\frac{1}{2 \left(x^{2}-30\right)}\right)$&$27$\\ \hline \end{longtable}"," ",0,"exp(-2)*x^2/(x^2-30)^2+ln(x)","A"
1064,1,27,22,0.058000," ","int((2*exp(x)^2+(-6*x-12)*exp(x)+4*x^3+16*x+19)*exp(exp(x)^2+(-6*x-6)*exp(x)+x^4+8*x^2+19*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{{\mathrm e}^{2 x}+\left(-6 x -6\right) {\mathrm e}^{x}+x^{4}+8 x^{2}+19 x +9}$&$27$\\ risch&${\mathrm e}^{x^{4}-6 \,{\mathrm e}^{x} x +8 x^{2}-6 \,{\mathrm e}^{x}+{\mathrm e}^{2 x}+19 x +9}$&$28$\\ \hline \end{longtable}"," ",0,"exp(exp(x)^2+(-6*x-6)*exp(x)+x^4+8*x^2+19*x+9)","A"
1065,1,26,23,0.074000," ","int(((5*exp(x)^2*x^2+10*exp(x)*x^3+5*x^4)*ln(ln(5))+(-60*x^4-5*x^2)*exp(x)^2+(-120*x^5-10*x^3-x-1)*exp(x)-60*x^6-5*x^4-2*x)/(5*exp(x)^2*x^2+10*exp(x)*x^3+5*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x^{3}+x \ln \left(\ln \left(5\right)\right)-x +\frac{1}{5 x \left({\mathrm e}^{x}+x \right)}$&$26$\\ norman&$\frac{\frac{1}{5}+\left(-1+\ln \left(\ln \left(5\right)\right)\right) x^{3}+\left(-1+\ln \left(\ln \left(5\right)\right)\right) x^{2} {\mathrm e}^{x}-4 x^{5}-4 \,{\mathrm e}^{x} x^{4}}{\left({\mathrm e}^{x}+x \right) x}$&$45$\\ \hline \end{longtable}"," ",0,"-4*x^3+x*ln(ln(5))-x+1/5/x/(exp(x)+x)","A"
1066,1,35,26,0.322000," ","int(((x^2-6*x+5)*ln((x-5)/(x-1)/(ln(3)+I*Pi))+20+4*x)/(x^2-6*x+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\frac{x -5}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}\right) x +5 \ln \left(x -5\right)-5 \ln \left(x -1\right)$&$35$\\ norman&$\ln \left(\frac{x -5}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}\right) x +5 \ln \left(\frac{x -5}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}\right)$&$44$\\ derivativedivides&$-\frac{4 \left(-i \pi -\ln \left(3\right)\right) \left(\frac{2 \ln \left(i+\left(-i \ln \left(3\right)+\pi \right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)\right) \pi  \ln \left(3\right)}{-i \ln \left(3\right)+\pi}+\frac{i \ln \left(i+\left(-i \ln \left(3\right)+\pi \right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)\right) \pi^{2}}{-i \ln \left(3\right)+\pi}-\frac{i \ln \left(i+\left(-i \ln \left(3\right)+\pi \right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)\right) \ln \left(3\right)^{2}}{-i \ln \left(3\right)+\pi}-\frac{2 \ln \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \pi  \ln \left(3\right)}{-i \ln \left(3\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+\pi  \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+i}-\frac{i \ln \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \pi^{2}}{-i \ln \left(3\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+\pi  \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+i}+\frac{i \ln \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \ln \left(3\right)^{2}}{-i \ln \left(3\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+\pi  \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+i}-\frac{i \ln \left(\frac{\left(-i \ln \left(3\right)+\pi \right) \left(-i \ln \left(3\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+\pi  \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+i\right)}{\sqrt{\pi^{2}+\ln \left(3\right)^{2}}}\right) \pi^{3}}{\left(-i \ln \left(3\right)+\pi \right)^{2}}+\frac{3 i \ln \left(\frac{\left(-i \ln \left(3\right)+\pi \right) \left(-i \ln \left(3\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+\pi  \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+i\right)}{\sqrt{\pi^{2}+\ln \left(3\right)^{2}}}\right) \pi  \ln \left(3\right)^{2}}{\left(-i \ln \left(3\right)+\pi \right)^{2}}-\frac{3 \ln \left(\frac{\left(-i \ln \left(3\right)+\pi \right) \left(-i \ln \left(3\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+\pi  \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+i\right)}{\sqrt{\pi^{2}+\ln \left(3\right)^{2}}}\right) \ln \left(3\right) \pi^{2}}{\left(-i \ln \left(3\right)+\pi \right)^{2}}+\frac{\ln \left(\frac{\left(-i \ln \left(3\right)+\pi \right) \left(-i \ln \left(3\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+\pi  \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+i\right)}{\sqrt{\pi^{2}+\ln \left(3\right)^{2}}}\right) \ln \left(3\right)^{3}}{\left(-i \ln \left(3\right)+\pi \right)^{2}}+\frac{5 i \ln \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \pi}{2}+\frac{5 \ln \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \ln \left(3\right)}{2}\right)}{\left(\ln \left(3\right)+i \pi \right)^{2}}$&$998$\\ default&$-\frac{4 \left(-i \pi -\ln \left(3\right)\right) \left(\frac{2 \ln \left(i+\left(-i \ln \left(3\right)+\pi \right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)\right) \pi  \ln \left(3\right)}{-i \ln \left(3\right)+\pi}+\frac{i \ln \left(i+\left(-i \ln \left(3\right)+\pi \right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)\right) \pi^{2}}{-i \ln \left(3\right)+\pi}-\frac{i \ln \left(i+\left(-i \ln \left(3\right)+\pi \right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)\right) \ln \left(3\right)^{2}}{-i \ln \left(3\right)+\pi}-\frac{2 \ln \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \pi  \ln \left(3\right)}{-i \ln \left(3\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+\pi  \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+i}-\frac{i \ln \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \pi^{2}}{-i \ln \left(3\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+\pi  \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+i}+\frac{i \ln \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \ln \left(3\right)^{2}}{-i \ln \left(3\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+\pi  \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+i}-\frac{i \ln \left(\frac{\left(-i \ln \left(3\right)+\pi \right) \left(-i \ln \left(3\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+\pi  \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+i\right)}{\sqrt{\pi^{2}+\ln \left(3\right)^{2}}}\right) \pi^{3}}{\left(-i \ln \left(3\right)+\pi \right)^{2}}+\frac{3 i \ln \left(\frac{\left(-i \ln \left(3\right)+\pi \right) \left(-i \ln \left(3\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+\pi  \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+i\right)}{\sqrt{\pi^{2}+\ln \left(3\right)^{2}}}\right) \pi  \ln \left(3\right)^{2}}{\left(-i \ln \left(3\right)+\pi \right)^{2}}-\frac{3 \ln \left(\frac{\left(-i \ln \left(3\right)+\pi \right) \left(-i \ln \left(3\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+\pi  \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+i\right)}{\sqrt{\pi^{2}+\ln \left(3\right)^{2}}}\right) \ln \left(3\right) \pi^{2}}{\left(-i \ln \left(3\right)+\pi \right)^{2}}+\frac{\ln \left(\frac{\left(-i \ln \left(3\right)+\pi \right) \left(-i \ln \left(3\right) \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+\pi  \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right)+i\right)}{\sqrt{\pi^{2}+\ln \left(3\right)^{2}}}\right) \ln \left(3\right)^{3}}{\left(-i \ln \left(3\right)+\pi \right)^{2}}+\frac{5 i \ln \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \pi}{2}+\frac{5 \ln \left(-\frac{4}{\left(x -1\right) \left(\ln \left(3\right)+i \pi \right)}+\frac{1}{\ln \left(3\right)+i \pi}\right) \ln \left(3\right)}{2}\right)}{\left(\ln \left(3\right)+i \pi \right)^{2}}$&$998$\\ \hline \end{longtable}"," ",0,"ln((x-5)/(x-1)/(ln(3)+I*Pi))*x+5*ln(x-5)-5*ln(x-1)","A"
1067,1,18,20,0.078000," ","int(((10*x^2*exp(exp(4))+(x^3+2*x^2)*exp(x)+46*x^2)*exp(5*x^2*exp(exp(4))+exp(x)*x^2+23*x^2)+1)*exp(exp(5*x^2*exp(exp(4))+exp(x)*x^2+23*x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{{\mathrm e}^{x^{2} \left({\mathrm e}^{x}+5 \,{\mathrm e}^{{\mathrm e}^{4}}+23\right)}}$&$18$\\ \hline \end{longtable}"," ",0,"x*exp(exp(x^2*(exp(x)+5*exp(exp(4))+23)))","A"
1068,1,22,27,0.187000," ","int((6*ln(2)+9)/(100*ln(2)^3+2*(10*x+120)*ln(2)^2+(x^2+24*x+144)*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{3 \left(2 \ln \left(2\right)+3\right)}{\ln \left(2\right) \left(10 \ln \left(2\right)+x +12\right)}$&$22$\\ default&$-\frac{6 \ln \left(2\right)+9}{\ln \left(2\right) \left(10 \ln \left(2\right)+x +12\right)}$&$22$\\ norman&$-\frac{3 \left(2 \ln \left(2\right)+3\right)}{\ln \left(2\right) \left(10 \ln \left(2\right)+x +12\right)}$&$22$\\ risch&$-\frac{6}{10 \ln \left(2\right)+x +12}-\frac{9}{\ln \left(2\right) \left(10 \ln \left(2\right)+x +12\right)}$&$28$\\ meijerg&$\frac{3 x}{\left(10 \ln \left(2\right)+12\right) \left(5 \ln \left(2\right)+6\right) \left(1+\frac{x}{10 \ln \left(2\right)+12}\right)}+\frac{9 x}{2 \ln \left(2\right) \left(10 \ln \left(2\right)+12\right) \left(5 \ln \left(2\right)+6\right) \left(1+\frac{x}{10 \ln \left(2\right)+12}\right)}$&$74$\\ \hline \end{longtable}"," ",0,"-3*(2*ln(2)+3)/ln(2)/(10*ln(2)+x+12)","A"
1069,1,28,23,0.123000," ","int(1/4*((6*ln(2)-15*x*exp(1)-45*x)*exp(1/2*((-5*x+10)*exp(1)-15*x+30)/ln(2))*ln(x^2)+12*ln(2)*exp(1/2*((-5*x+10)*exp(1)-15*x+30)/ln(2)))/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 x \,{\mathrm e}^{\frac{\left(-5 x +10\right) {\mathrm e}-15 x +30}{2 \ln \left(2\right)}} \ln \left(x^{2}\right)}{2}$&$28$\\ risch&$3 x \,{\mathrm e}^{-\frac{5 \left(x -2\right) \left(3+{\mathrm e}\right)}{2 \ln \left(2\right)}} \ln \left(x \right)-\frac{3 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(\mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{2}\right) x \,{\mathrm e}^{-\frac{5 \left(x -2\right) \left(3+{\mathrm e}\right)}{2 \ln \left(2\right)}}}{4}$&$78$\\ default&$\frac{\frac{24 \ln \left(2\right)^{2} {\mathrm e}^{\frac{\left(-5 x +10\right) {\mathrm e}-15 x +30}{2 \ln \left(2\right)}}}{5 \left(3+{\mathrm e}\right)}+12 \ln \left(2\right) x \,{\mathrm e}^{\frac{\left(-5 x +10\right) {\mathrm e}-15 x +30}{2 \ln \left(2\right)}} \ln \left(x \right)+6 \ln \left(2\right) \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right) x \,{\mathrm e}^{\frac{\left(-5 x +10\right) {\mathrm e}-15 x +30}{2 \ln \left(2\right)}}+\frac{24 \ln \left(2\right)^{2} {\mathrm e}^{\frac{\left(-5 x +10\right) {\mathrm e}-15 x +30}{2 \ln \left(2\right)}}}{-5 \,{\mathrm e}-15}}{4 \ln \left(2\right)}$&$135$\\ \hline \end{longtable}"," ",0,"3/2*x*exp(1/2*((-5*x+10)*exp(1)-15*x+30)/ln(2))*ln(x^2)","A"
1070,1,22,17,0.085000," ","int((15*x-20)*x^2*exp((-5*x+10)*x^2/((4*x-8)*x^2-4))/((4*x^3-16*x^2+16*x)*x^4+(-8*x^2+16*x)*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{5 \left(x -2\right) x^{2}}{4 \left(x^{3}-2 x^{2}-1\right)}}$&$22$\\ risch&${\mathrm e}^{-\frac{5 \left(x -2\right) x^{2}}{4 \left(x^{3}-2 x^{2}-1\right)}}$&$22$\\ norman&$\frac{x^{3} {\mathrm e}^{\frac{\left(-5 x +10\right) x^{2}}{\left(4 x -8\right) x^{2}-4}}-2 x^{2} {\mathrm e}^{\frac{\left(-5 x +10\right) x^{2}}{\left(4 x -8\right) x^{2}-4}}-{\mathrm e}^{\frac{\left(-5 x +10\right) x^{2}}{\left(4 x -8\right) x^{2}-4}}}{x^{3}-2 x^{2}-1}$&$95$\\ \hline \end{longtable}"," ",0,"exp(-5/4*(x-2)*x^2/(x^3-2*x^2-1))","A"
1071,1,18,17,0.038000," ","int(((-exp(x)-3)*ln(3+exp(x))+(-x-48)*exp(x)-3*x-141)*exp(-ln(ln(3+exp(x))+x+46)+2-x)/((3+exp(x))*ln(3+exp(x))+(x+46)*exp(x)+3*x+138),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2-x}}{\ln \left(3+{\mathrm e}^{x}\right)+x +46}$&$18$\\ \hline \end{longtable}"," ",0,"1/(ln(3+exp(x))+x+46)*exp(2-x)","A"
1072,1,27,21,69.232000," ","int(((2*x*ln(x)+2*x^2)*ln(25*x)*ln(ln(25*x))+(2*x*ln(x)+2*x^2)*ln(25*x)*ln(x+ln(x))+(-2*x*ln(x)-4*x^2-2*x)*ln(25*x)-2*x*ln(x)-2*x^2)/((x+ln(x))*ln(25*x)*ln(ln(25*x))^3+((3*x+3*ln(x))*ln(25*x)*ln(x+ln(x))+((-3*x-3)*ln(x)-3*x^2-3*x)*ln(25*x))*ln(ln(25*x))^2+((3*x+3*ln(x))*ln(25*x)*ln(x+ln(x))^2+((-6*x-6)*ln(x)-6*x^2-6*x)*ln(25*x)*ln(x+ln(x))+((3*x^2+6*x+3)*ln(x)+3*x^3+6*x^2+3*x)*ln(25*x))*ln(ln(25*x))+(x+ln(x))*ln(25*x)*ln(x+ln(x))^3+((-3*x-3)*ln(x)-3*x^2-3*x)*ln(25*x)*ln(x+ln(x))^2+((3*x^2+6*x+3)*ln(x)+3*x^3+6*x^2+3*x)*ln(25*x)*ln(x+ln(x))+((-x^3-3*x^2-3*x-1)*ln(x)-x^4-3*x^3-3*x^2-x)*ln(25*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{\left(x -\ln \left(x +\ln \left(x \right)\right)-\ln \left(2 \ln \left(5\right)+\ln \left(x \right)\right)+1\right)^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"x^2/(x-ln(x+ln(x))-ln(2*ln(5)+ln(x))+1)^2","A"
1073,1,25,20,0.037000," ","int(1/5*((3*x-12)*exp(x)*ln(x)+(5*x^5-15*x^3+90*x+3)*exp(x))/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{x} \ln \left(x \right)}{5 x^{4}}+\frac{\left(x^{3}-3 x -6\right) {\mathrm e}^{x}}{x^{3}}$&$25$\\ \hline \end{longtable}"," ",0,"3/5/x^4*exp(x)*ln(x)+(x^3-3*x-6)/x^3*exp(x)","A"
1074,0,0,27,0.658000," ","int(((3*x^2*ln(x^2)-75*x^2)*ln(ln(x^2)-25)^2+((-4*x*ln(2)-16*x^3)*ln(x^2)+100*x*ln(2)+400*x^3+4*x^2)*ln(ln(x^2)-25)+(ln(2)^2+12*x^2*ln(2)+20*x^4+2*x)*ln(x^2)-25*ln(2)^2+(-300*x^2-4*x)*ln(2)-500*x^4-8*x^3-50*x)*exp(x^3*ln(ln(x^2)-25)^2+(-2*x^2*ln(2)-4*x^4)*ln(ln(x^2)-25)+x*ln(2)^2+4*x^3*ln(2)+4*x^5+x^2-4)/(ln(x^2)-25),x)","\[\int \frac{\left(\left(3 x^{2} \ln \left(x^{2}\right)-75 x^{2}\right) \ln \left(\ln \left(x^{2}\right)-25\right)^{2}+\left(\left(-4 x \ln \left(2\right)-16 x^{3}\right) \ln \left(x^{2}\right)+100 x \ln \left(2\right)+400 x^{3}+4 x^{2}\right) \ln \left(\ln \left(x^{2}\right)-25\right)+\left(\ln \left(2\right)^{2}+12 x^{2} \ln \left(2\right)+20 x^{4}+2 x \right) \ln \left(x^{2}\right)-25 \ln \left(2\right)^{2}+\left(-300 x^{2}-4 x \right) \ln \left(2\right)-500 x^{4}-8 x^{3}-50 x \right) {\mathrm e}^{x^{3} \ln \left(\ln \left(x^{2}\right)-25\right)^{2}+\left(-2 x^{2} \ln \left(2\right)-4 x^{4}\right) \ln \left(\ln \left(x^{2}\right)-25\right)+x \ln \left(2\right)^{2}+4 x^{3} \ln \left(2\right)+4 x^{5}+x^{2}-4}}{\ln \left(x^{2}\right)-25}\, dx\]"," ",0,"int(((3*x^2*ln(x^2)-75*x^2)*ln(ln(x^2)-25)^2+((-4*x*ln(2)-16*x^3)*ln(x^2)+100*x*ln(2)+400*x^3+4*x^2)*ln(ln(x^2)-25)+(ln(2)^2+12*x^2*ln(2)+20*x^4+2*x)*ln(x^2)-25*ln(2)^2+(-300*x^2-4*x)*ln(2)-500*x^4-8*x^3-50*x)*exp(x^3*ln(ln(x^2)-25)^2+(-2*x^2*ln(2)-4*x^4)*ln(ln(x^2)-25)+x*ln(2)^2+4*x^3*ln(2)+4*x^5+x^2-4)/(ln(x^2)-25),x)","F"
1075,1,32,23,0.154000," ","int(((x^8+3*x^7+24*x^6+43*x^5+168*x^4+147*x^3+343*x^2)*exp(x)+2*x^9+6*x^8+48*x^7+86*x^6+336*x^5+294*x^4+686*x^3+375*x^2+225*x+525)/(x^8+3*x^7+24*x^6+43*x^5+168*x^4+147*x^3+343*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{75}{x \left(x^{4}+2 x^{3}+15 x^{2}+14 x +49\right)}+{\mathrm e}^{x}$&$32$\\ norman&$\frac{-75+x^{7}+x^{5} {\mathrm e}^{x}-343 x -98 x^{2}-56 x^{3}+8 x^{5}+2 x^{6}+49 \,{\mathrm e}^{x} x +14 \,{\mathrm e}^{x} x^{2}+15 \,{\mathrm e}^{x} x^{3}+2 \,{\mathrm e}^{x} x^{4}}{x \left(x^{2}+x +7\right)^{2}}$&$73$\\ default&${\mathrm e}^{x}+x^{2}-\frac{75}{49 x}-\frac{2 \left(\frac{5797}{243} x^{3}+\frac{11305}{162} x^{2}+\frac{14602}{81} x +\frac{138229}{486}\right)}{\left(x^{2}+x +7\right)^{2}}-\frac{6 \left(-\frac{1280}{243} x^{3}+\frac{899}{81} x^{2}-\frac{1232}{81} x +\frac{42385}{486}\right)}{\left(x^{2}+x +7\right)^{2}}+\frac{\frac{5984}{81} x^{3}+\frac{10120}{27} x^{2}+\frac{17024}{27} x +\frac{134848}{81}}{\left(x^{2}+x +7\right)^{2}}+\frac{-\frac{12470}{243} x^{3}+\frac{731}{81} x^{2}-\frac{15050}{81} x +\frac{48461}{243}}{\left(x^{2}+x +7\right)^{2}}+\frac{-\frac{784}{81} x^{3}-\frac{4928}{27} x^{2}-\frac{3136}{27} x -\frac{52136}{81}}{\left(x^{2}+x +7\right)^{2}}+\frac{\frac{490}{81} x^{3}+\frac{245}{27} x^{2}-\frac{686}{27} x +\frac{4802}{81}}{\left(x^{2}+x +7\right)^{2}}+\frac{-\frac{343 x}{27}-\frac{4802}{27}}{\left(x^{2}+x +7\right)^{2}}+\frac{\frac{125 x}{9}+\frac{125}{18}}{\left(x^{2}+x +7\right)^{2}}+\frac{\frac{64 x}{243}+\frac{32}{243}}{x^{2}+x +7}-\frac{225 \left(\frac{112}{243} x^{3}-\frac{455}{162} x^{2}+\frac{70}{81} x -\frac{8428}{243}\right)}{343 \left(x^{2}+x +7\right)^{2}}+\frac{-\frac{4975}{3969} x^{3}-\frac{9025}{2646} x^{2}-\frac{17875}{1323} x -\frac{21625}{1134}}{\left(x^{2}+x +7\right)^{2}}+\frac{{\mathrm e}^{x} \left(1009 x^{3}+3237 x^{2}+7392 x +11123\right)}{162 x^{4}+324 x^{3}+2430 x^{2}+2268 x +7938}-\frac{43 \,{\mathrm e}^{x} \left(68 x^{3}+255 x^{2}+483 x +490\right)}{486 \left(x^{4}+2 x^{3}+15 x^{2}+14 x +49\right)}+\frac{{\mathrm e}^{x} \left(1480 x^{3}-8301 x^{2}-1995 x -55174\right)}{486 x^{4}+972 x^{3}+7290 x^{2}+6804 x +23814}-\frac{4 \,{\mathrm e}^{x} \left(173 x^{3}-546 x^{2}-147 x -3773\right)}{81 \left(x^{4}+2 x^{3}+15 x^{2}+14 x +49\right)}+\frac{343 \,{\mathrm e}^{x} \left(4 x^{3}+15 x^{2}+57 x +86\right)}{486 \left(x^{4}+2 x^{3}+15 x^{2}+14 x +49\right)}+\frac{49 \,{\mathrm e}^{x} \left(7 x^{3}+6 x^{2}+39 x -133\right)}{162 \left(x^{4}+2 x^{3}+15 x^{2}+14 x +49\right)}+\frac{28 \,{\mathrm e}^{x} \left(x^{3}-57 x^{2}-168 x -343\right)}{81 \left(x^{4}+2 x^{3}+15 x^{2}+14 x +49\right)}$&$528$\\ \hline \end{longtable}"," ",0,"x^2-75/x/(x^4+2*x^3+15*x^2+14*x+49)+exp(x)","A"
1076,1,42,28,0.273000," ","int((((5*x+5)*ln(3)+x+1)*ln(x)^2+((-10*x^2-35*x-20)*ln(3)-2*x^2-7*x-4)*ln(x)+(5*x^3+25*x^2+55*x+20)*ln(3)+x^3+5*x^2+11*x+4)/(2*x*ln(x)^3+(-2*x^2-8*x)*ln(x)^2+(-2*x^3-2*x^2+8*x)*ln(x)+2*x^4+10*x^3+12*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-\frac{5 \ln \left(3\right)}{2}-\frac{1}{2}\right) \ln \left(2-\ln \left(x \right)+x \right)+\left(\frac{5 \ln \left(3\right)}{2}+\frac{1}{2}\right) \ln \left(x^{2}-\ln \left(x \right)^{2}+3 x +2 \ln \left(x \right)\right)$&$42$\\ default&$-\frac{\ln \left(2-\ln \left(x \right)+x \right)}{2}+\frac{\ln \left(x^{2}-\ln \left(x \right)^{2}+3 x +2 \ln \left(x \right)\right)}{2}-\frac{5 \ln \left(3\right) \ln \left(2-\ln \left(x \right)+x \right)}{2}+\frac{5 \ln \left(3\right) \ln \left(x^{2}-\ln \left(x \right)^{2}+3 x +2 \ln \left(x \right)\right)}{2}$&$66$\\ risch&$-\frac{\ln \left(\ln \left(x \right)-x -2\right)}{2}-\frac{5 \ln \left(\ln \left(x \right)-x -2\right) \ln \left(3\right)}{2}+\frac{5 \ln \left(-x^{2}+\ln \left(x \right)^{2}-3 x -2 \ln \left(x \right)\right) \ln \left(3\right)}{2}+\frac{\ln \left(-x^{2}+\ln \left(x \right)^{2}-3 x -2 \ln \left(x \right)\right)}{2}$&$66$\\ \hline \end{longtable}"," ",0,"(-5/2*ln(3)-1/2)*ln(2-ln(x)+x)+(5/2*ln(3)+1/2)*ln(x^2-ln(x)^2+3*x+2*ln(x))","A"
1077,0,0,18,0.030000," ","int((-ln(5*x^2)*ln(-ln(5*x^2))^2+4*ln(-ln(5*x^2)))*exp((ln(-ln(5*x^2))^2+x)/x)/x^2/ln(5*x^2),x)","\[\int \frac{\left(-\ln \left(5 x^{2}\right) \ln \left(-\ln \left(5 x^{2}\right)\right)^{2}+4 \ln \left(-\ln \left(5 x^{2}\right)\right)\right) {\mathrm e}^{\frac{\ln \left(-\ln \left(5 x^{2}\right)\right)^{2}+x}{x}}}{x^{2} \ln \left(5 x^{2}\right)}\, dx\]"," ",0,"int((-ln(5*x^2)*ln(-ln(5*x^2))^2+4*ln(-ln(5*x^2)))*exp((ln(-ln(5*x^2))^2+x)/x)/x^2/ln(5*x^2),x)","F"
1078,1,22,20,0.044000," ","int(((x^2-2*x-6)*exp(x)-3*x^3+14*x^2-9*x)/((x^2-3*x)*exp(x)-x^4+4*x^3-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x -3\right)+2 \ln \left(x \right)+\ln \left(x +{\mathrm e}^{x}-x^{2}\right)$&$22$\\ norman&$2 \ln \left(x \right)-\ln \left(x -3\right)+\ln \left(x^{2}-x -{\mathrm e}^{x}\right)$&$24$\\ \hline \end{longtable}"," ",0,"-ln(x-3)+2*ln(x)+ln(x+exp(x)-x^2)","A"
1079,1,58,23,0.074000," ","int(1/65536*(-65536*ln(5)^4+2359296*ln(5)^3+(1536*x^2-31195136)*ln(5)^2+(128*x^3-27648*x^2+179306496)*ln(5)+3*x^4-1152*x^3+187392*x^2-378535936)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{\ln \left(5\right)}{1024}-\frac{9}{1024}\right) x^{3}+\left(\frac{3 \ln \left(5\right)^{2}}{128}-\frac{27 \ln \left(5\right)}{64}+\frac{183}{64}\right) x^{2}+\frac{x^{4}}{65536}+\ln \left(5\right)^{4}-36 \ln \left(5\right)^{3}+476 \ln \left(5\right)^{2}-2736 \ln \left(5\right)+5776}{x}$&$58$\\ default&$\frac{3 x \ln \left(5\right)^{2}}{128}+\frac{x^{2} \ln \left(5\right)}{1024}+\frac{x^{3}}{65536}-\frac{27 x \ln \left(5\right)}{64}-\frac{9 x^{2}}{1024}+\frac{183 x}{64}-\frac{-65536 \ln \left(5\right)^{4}+2359296 \ln \left(5\right)^{3}-31195136 \ln \left(5\right)^{2}+179306496 \ln \left(5\right)-378535936}{65536 x}$&$63$\\ gosper&$\frac{65536 \ln \left(5\right)^{4}+1536 x^{2} \ln \left(5\right)^{2}+64 x^{3} \ln \left(5\right)+x^{4}-2359296 \ln \left(5\right)^{3}-27648 x^{2} \ln \left(5\right)-576 x^{3}+31195136 \ln \left(5\right)^{2}+187392 x^{2}-179306496 \ln \left(5\right)+378535936}{65536 x}$&$66$\\ risch&$\frac{3 x \ln \left(5\right)^{2}}{128}+\frac{x^{2} \ln \left(5\right)}{1024}+\frac{x^{3}}{65536}-\frac{27 x \ln \left(5\right)}{64}-\frac{9 x^{2}}{1024}+\frac{183 x}{64}+\frac{\ln \left(5\right)^{4}}{x}-\frac{36 \ln \left(5\right)^{3}}{x}+\frac{476 \ln \left(5\right)^{2}}{x}-\frac{2736 \ln \left(5\right)}{x}+\frac{5776}{x}$&$72$\\ \hline \end{longtable}"," ",0,"((1/1024*ln(5)-9/1024)*x^3+(3/128*ln(5)^2-27/64*ln(5)+183/64)*x^2+1/65536*x^4+ln(5)^4-36*ln(5)^3+476*ln(5)^2-2736*ln(5)+5776)/x","B"
1080,1,38,24,0.146000," ","int((2*(-81*exp(4)+162)*ln(2)*ln(x)^2+2*(-162*exp(4)+324)*ln(2)*ln(x))/((4*x^2*ln(2)^2-20*x^2*ln(2)+25*x^2)*ln(x)^4+(-1620*x*ln(2)+4050*x)*ln(x)^2+164025),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{2 \,{\mathrm e}^{4} \ln \left(2\right)}{5}-\frac{4 \ln \left(2\right)}{5}\right) x \ln \left(x \right)^{2}}{2 \ln \left(2\right) \ln \left(x \right)^{2} x -5 x \ln \left(x \right)^{2}-405}$&$38$\\ risch&$\frac{162 \ln \left(2\right) {\mathrm e}^{4}}{\left(2 \ln \left(2\right)-5\right) \left(2 \ln \left(2\right) \ln \left(x \right)^{2} x -5 x \ln \left(x \right)^{2}-405\right)}-\frac{324 \ln \left(2\right)}{\left(2 \ln \left(2\right)-5\right) \left(2 \ln \left(2\right) \ln \left(x \right)^{2} x -5 x \ln \left(x \right)^{2}-405\right)}$&$68$\\ \hline \end{longtable}"," ",0,"(2/5*exp(4)*ln(2)-4/5*ln(2))*x*ln(x)^2/(2*ln(2)*ln(x)^2*x-5*x*ln(x)^2-405)","A"
1081,1,24,27,0.244000," ","int(((40*x^3-24*x^2)*exp(1)^2*exp(x^3*exp(1)^2/exp(5*x))-24*exp(5*x))/(exp(5*x)*exp(x^3*exp(1)^2/exp(5*x))^2+(6*ln(2)+6*x)*exp(5*x)*exp(x^3*exp(1)^2/exp(5*x))+(9*ln(2)^2+18*x*ln(2)+9*x^2)*exp(5*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8}{3 \ln \left(2\right)+3 x +{\mathrm e}^{x^{3} {\mathrm e}^{-5 x +2}}}$&$24$\\ norman&$\frac{8}{3 \ln \left(2\right)+3 x +{\mathrm e}^{x^{3} {\mathrm e}^{2} {\mathrm e}^{-5 x}}}$&$28$\\ \hline \end{longtable}"," ",0,"8/(3*ln(2)+3*x+exp(x^3*exp(-5*x+2)))","A"
1082,1,32,27,0.110000," ","int(((exp(x)*x+(-2*x^2+2*x)*exp(2)-x)*exp(exp(x)+(-x^2+2*x)*exp(2)-x+1)-1)/(x*exp(exp(x)+(-x^2+2*x)*exp(2)-x+1)^2+(-2*x*ln(x)+2*x*ln(2))*exp(exp(x)+(-x^2+2*x)*exp(2)-x+1)+x*ln(x)^2-2*x*ln(2)*ln(x)+x*ln(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{\ln \left(2\right)-\ln \left(x \right)+{\mathrm e}^{-x^{2} {\mathrm e}^{2}+2 \,{\mathrm e}^{2} x +{\mathrm e}^{x}-x +1}}$&$32$\\ \hline \end{longtable}"," ",0,"-1/(ln(2)-ln(x)+exp(-x^2*exp(2)+2*exp(2)*x+exp(x)-x+1))","A"
1083,1,43,27,0.038000," ","int((((3*x^3+8*x^2-x+1)*exp(5)-3*x^4+x^3+34*x^2-6*x+4)*exp(ln(3*x^2-x+1)+x+ln(x))+3*x^3-x^2+x)/(3*x^3-x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\left(3 x^{3} {\mathrm e}^{5}-3 x^{4}-x^{2} {\mathrm e}^{5}+13 x^{3}+x \,{\mathrm e}^{5}-5 x^{2}+4 x \right) {\mathrm e}^{x}$&$43$\\ default&$x +13 \,{\mathrm e}^{x} x^{3}-5 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{5} {\mathrm e}^{x}+4 \,{\mathrm e}^{x} x -3 \,{\mathrm e}^{x} x^{4}+3 \,{\mathrm e}^{5} \left({\mathrm e}^{x} x^{3}-3 \,{\mathrm e}^{x} x^{2}+6 \,{\mathrm e}^{x} x -6 \,{\mathrm e}^{x}\right)-{\mathrm e}^{5} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+8 \,{\mathrm e}^{5} \left({\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right)$&$94$\\ \hline \end{longtable}"," ",0,"x+(3*x^3*exp(5)-3*x^4-x^2*exp(5)+13*x^3+x*exp(5)-5*x^2+4*x)*exp(x)","A"
1084,1,20,17,0.041000," ","int(((-6600*x*ln(x)+26400*x)*ln(-ln(x)+4)*ln(ln(-ln(x)+4))-3300*x)/((75625*x^4*ln(x)-302500*x^4)*ln(-ln(x)+4)*ln(ln(-ln(x)+4))^2+(6600*x^2*ln(x)-26400*x^2)*ln(-ln(x)+4)*ln(ln(-ln(x)+4))+(144*ln(x)-576)*ln(-ln(x)+4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{12}{275 x^{2} \ln \left(\ln \left(-\ln \left(x \right)+4\right)\right)+12}$&$20$\\ \hline \end{longtable}"," ",0,"12/(275*x^2*ln(ln(-ln(x)+4))+12)","A"
1085,1,32,30,0.041000," ","int((4*(16*x-32)*ln(2)^2*ln(-x+4)*ln(ln(-x+4))-32*x*ln(2)^2)*exp((-32*ln(2)^2*ln(ln(-x+4))+4*(4*x^2-16*x)*ln(2)^2)/(x^2-4*x))/(x^4-8*x^3+16*x^2)/ln(-x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{16 \ln \left(2\right)^{2} \left(x^{2}-2 \ln \left(\ln \left(-x +4\right)\right)-4 x \right)}{\left(x -4\right) x}}$&$32$\\ \hline \end{longtable}"," ",0,"exp(16*ln(2)^2*(x^2-2*ln(ln(-x+4))-4*x)/(x-4)/x)","A"
1086,0,0,24,180.000000," ","int((((40*x^3+240*x^2+200*x)*ln((4*x+4)/x)+(120*x^3+720*x^2+600*x)*ln(3))*ln(ln((4*x+4)/x)+3*ln(3))-20*x^2-200*x-500)*exp((20*x^2+200*x+500)*ln(ln((4*x+4)/x)+3*ln(3)))/((x^2+x)*ln((4*x+4)/x)+(3*x^2+3*x)*ln(3)),x)","\[\int \frac{\left(\left(\left(40 x^{3}+240 x^{2}+200 x \right) \ln \left(\frac{4 x +4}{x}\right)+\left(120 x^{3}+720 x^{2}+600 x \right) \ln \left(3\right)\right) \ln \left(\ln \left(\frac{4 x +4}{x}\right)+3 \ln \left(3\right)\right)-20 x^{2}-200 x -500\right) {\mathrm e}^{\left(20 x^{2}+200 x +500\right) \ln \left(\ln \left(\frac{4 x +4}{x}\right)+3 \ln \left(3\right)\right)}}{\left(x^{2}+x \right) \ln \left(\frac{4 x +4}{x}\right)+\left(3 x^{2}+3 x \right) \ln \left(3\right)}\, dx\]"," ",0,"int((((40*x^3+240*x^2+200*x)*ln((4*x+4)/x)+(120*x^3+720*x^2+600*x)*ln(3))*ln(ln((4*x+4)/x)+3*ln(3))-20*x^2-200*x-500)*exp((20*x^2+200*x+500)*ln(ln((4*x+4)/x)+3*ln(3)))/((x^2+x)*ln((4*x+4)/x)+(3*x^2+3*x)*ln(3)),x)","F"
1087,1,29,18,0.066000," ","int(((-exp(3)-3)*exp(x)+(x-1)*exp(3)+3*x-3)/(exp(x)*x+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left({\mathrm e}^{3}+3\right) x +\left(-{\mathrm e}^{3}-3\right) \ln \left(x \right)+\left(-{\mathrm e}^{3}-3\right) \ln \left({\mathrm e}^{x}+1\right)$&$29$\\ risch&$-\ln \left(x \right) {\mathrm e}^{3}-3 \ln \left(x \right)+x \,{\mathrm e}^{3}+3 x -{\mathrm e}^{3} \ln \left({\mathrm e}^{x}+1\right)-3 \ln \left({\mathrm e}^{x}+1\right)$&$35$\\ \hline \end{longtable}"," ",0,"(exp(3)+3)*x+(-exp(3)-3)*ln(x)+(-exp(3)-3)*ln(exp(x)+1)","A"
1088,1,197,35,0.231000," ","int(((-x^6-2*x^5-3*x^4-7*x^3-6*x^2+3*x-9)*exp(x/(x^3+x^2+3))+4*x^6+8*x^5+4*x^4+24*x^3+24*x^2+36)*exp(x)/((3*x^6+6*x^5+3*x^4+18*x^3+18*x^2+27)*exp(x/(x^3+x^2+3))^2+(5*x^7-14*x^6-43*x^5+6*x^4-114*x^3-144*x^2+45*x-216)*exp(x/(x^3+x^2+3))+2*x^8-16*x^7+10*x^6+88*x^5-60*x^4+168*x^3+306*x^2-180*x+432)/exp(-ln((3*exp(x/(x^3+x^2+3))+2*x-12)/(exp(x/(x^3+x^2+3))+x-4))+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \,{\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(\frac{3 \,{\mathrm e}^{\frac{x}{x^{3}+x^{2}+3}}}{2}+x -6\right)}{{\mathrm e}^{\frac{x}{x^{3}+x^{2}+3}}+x -4}\right) \left(-\mathrm{csgn}\left(\frac{i \left(\frac{3 \,{\mathrm e}^{\frac{x}{x^{3}+x^{2}+3}}}{2}+x -6\right)}{{\mathrm e}^{\frac{x}{x^{3}+x^{2}+3}}+x -4}\right)+\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{\frac{x}{x^{3}+x^{2}+3}}+x -4}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(\frac{3 \,{\mathrm e}^{\frac{x}{x^{3}+x^{2}+3}}}{2}+x -6\right)}{{\mathrm e}^{\frac{x}{x^{3}+x^{2}+3}}+x -4}\right)+\mathrm{csgn}\left(i \left(\frac{3 \,{\mathrm e}^{\frac{x}{x^{3}+x^{2}+3}}}{2}+x -6\right)\right)\right)}{2}}}{{\mathrm e}^{\frac{x}{x^{3}+x^{2}+3}}+x -4}$&$197$\\ \hline \end{longtable}"," ",0,"-1/(exp(x/(x^3+x^2+3))+x-4)*x*exp(-1/2*I*Pi*csgn(I/(exp(x/(x^3+x^2+3))+x-4)*(3/2*exp(x/(x^3+x^2+3))+x-6))*(-csgn(I/(exp(x/(x^3+x^2+3))+x-4)*(3/2*exp(x/(x^3+x^2+3))+x-6))+csgn(I/(exp(x/(x^3+x^2+3))+x-4)))*(-csgn(I/(exp(x/(x^3+x^2+3))+x-4)*(3/2*exp(x/(x^3+x^2+3))+x-6))+csgn(I*(3/2*exp(x/(x^3+x^2+3))+x-6))))","C"
1089,1,42,23,0.063000," ","int(((((x+1)*exp(2)^2+(4*x+4)*exp(2)+4*x+4)*exp(x)+(x^2-x)*exp(2)^2+(4*x^2-4*x)*exp(2)+4*x^2-4*x)*exp(((2+x)*exp(x)-x)/exp(x))+(exp(2)^2+4*exp(2)+4)*exp(x))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{2} x +x \,{\mathrm e}^{4}+4 x +\left({\mathrm e}^{4}+4 \,{\mathrm e}^{2}+4\right) x \,{\mathrm e}^{\left({\mathrm e}^{x} x +2 \,{\mathrm e}^{x}-x \right) {\mathrm e}^{-x}}$&$42$\\ norman&$\left(\left({\mathrm e}^{4}+4 \,{\mathrm e}^{2}+4\right) x \,{\mathrm e}^{x}+\left({\mathrm e}^{4}+4 \,{\mathrm e}^{2}+4\right) x \,{\mathrm e}^{x} {\mathrm e}^{\left(\left(2+x \right) {\mathrm e}^{x}-x \right) {\mathrm e}^{-x}}\right) {\mathrm e}^{-x}$&$51$\\ \hline \end{longtable}"," ",0,"4*exp(2)*x+x*exp(4)+4*x+(exp(4)+4*exp(2)+4)*x*exp((exp(x)*x+2*exp(x)-x)*exp(-x))","A"
1090,1,91,20,0.064000," ","int((2*x*ln(x)*ln(x*ln(x))+x*ln(x)+x)*exp(x^2*ln(x*ln(x))-2*ln(2))/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{x^{2} \left(-i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}+i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)-i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)+2 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)\right)}{2}}}{4}$&$91$\\ \hline \end{longtable}"," ",0,"1/4*exp(1/2*x^2*(-I*Pi*csgn(I*x*ln(x))^3+I*Pi*csgn(I*x*ln(x))^2*csgn(I*x)+I*Pi*csgn(I*x*ln(x))^2*csgn(I*ln(x))-I*Pi*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x))+2*ln(x)+2*ln(ln(x))))","C"
1091,1,28,18,0.086000," ","int((-4*x^4+4*x^3)*exp(x-2)^4/(exp(x-2)^8+(-2*x^4*ln(3)+2*x^4)*exp(x-2)^4+x^8*ln(3)^2-2*x^8*ln(3)+x^8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{4}}{x^{4} \ln \left(3\right)-{\mathrm e}^{4 x -8}-x^{4}}$&$28$\\ \hline \end{longtable}"," ",0,"-x^4/(x^4*ln(3)-exp(4*x-8)-x^4)","A"
1092,1,63,27,0.063000," ","int(((128*x^4+544*x^3-456*x^2+1126*x-550)*ln(x)^6+(-96*x^5-336*x^4+618*x^3-984*x^2+786*x-132)*ln(x)^4+(96*x^3+360*x^2-720*x+264)*ln(x)^3+(24*x^6+66*x^5-222*x^4+282*x^3-210*x^2+60*x)*ln(x)^2+(-24*x^4-72*x^3+216*x^2-120*x)*ln(x)-2*x^7-4*x^6+24*x^5-28*x^4+10*x^3)*exp(((16*x^4+152*x^3+273*x^2-418*x+121)*ln(x)^4+(-8*x^5-70*x^4-90*x^3+278*x^2-110*x)*ln(x)^2+x^6+8*x^5+6*x^4-40*x^3+25*x^2)/((16*x^2-8*x+1)*ln(x)^4+(-8*x^3+10*x^2-2*x)*ln(x)^2+x^4-2*x^3+x^2))/((64*x^3-48*x^2+12*x-1)*ln(x)^6+(-48*x^4+72*x^3-27*x^2+3*x)*ln(x)^4+(12*x^5-27*x^4+18*x^3-3*x^2)*ln(x)^2-x^6+3*x^5-3*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(4 x^{2} \ln \left(x \right)^{2}+19 x \ln \left(x \right)^{2}-x^{3}-11 \ln \left(x \right)^{2}-4 x^{2}+5 x \right)^{2}}{\left(4 x \ln \left(x \right)^{2}-\ln \left(x \right)^{2}-x^{2}+x \right)^{2}}}$&$63$\\ \hline \end{longtable}"," ",0,"exp((4*x^2*ln(x)^2+19*x*ln(x)^2-x^3-11*ln(x)^2-4*x^2+5*x)^2/(4*x*ln(x)^2-ln(x)^2-x^2+x)^2)","B"
1093,1,16,18,0.028000," ","int((exp(-781375005*x^2+500040*x-79)^2-6251000040*x+2000160)/exp(-781375005*x^2+500040*x-79)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -2 \,{\mathrm e}^{1562750010 x^{2}-1000080 x +158}$&$16$\\ risch&$x -2 \,{\mathrm e}^{1562750010 x^{2}-1000080 x +158}$&$16$\\ norman&$\left(-2+x \,{\mathrm e}^{-1562750010 x^{2}+1000080 x -158}\right) {\mathrm e}^{1562750010 x^{2}-1000080 x +158}$&$32$\\ \hline \end{longtable}"," ",0,"x-2*exp(1562750010*x^2-1000080*x+158)","A"
1094,1,8,12,0.014000," ","int(-388129/32*ln(5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{388129 \ln \left(5\right)}{32 x}$&$8$\\ default&$\frac{388129 \ln \left(5\right)}{32 x}$&$8$\\ norman&$\frac{388129 \ln \left(5\right)}{32 x}$&$8$\\ risch&$\frac{388129 \ln \left(5\right)}{32 x}$&$8$\\ \hline \end{longtable}"," ",0,"388129/32*ln(5)/x","A"
1095,1,7,6,0.016000," ","int(60*exp(60*x-84),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{60 x -84}$&$7$\\ derivativedivides&${\mathrm e}^{60 x -84}$&$7$\\ default&${\mathrm e}^{60 x -84}$&$7$\\ norman&${\mathrm e}^{60 x -84}$&$7$\\ risch&${\mathrm e}^{60 x -84}$&$7$\\ meijerg&$-{\mathrm e}^{-84} \left(1-{\mathrm e}^{60 x}\right)$&$13$\\ \hline \end{longtable}"," ",0,"exp(60*x-84)","A"
1096,1,14,13,0.030000," ","int((40*ln(-5*x+2)^7-5*x+2)/((5*x-2)*ln(-5*x+2)^8-5*x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(-5 x +2\right)^{8}-x \right)$&$14$\\ \hline \end{longtable}"," ",0,"ln(ln(-5*x+2)^8-x)","A"
1097,1,154,26,0.278000," ","int((((-6*x^5-24*x^4+33*x^3+12*x^2-15*x)*exp(x/exp(x^2))+(3*x^2+12*x-15)*exp(x^2))*exp(exp(x/exp(x^2)))+((5*x^2+20*x-25)*exp(x^2)*ln((x^2+4*x-5)/x)+(5*x^2+25)*exp(x^2))*exp(5/3*x*ln((x^2+4*x-5)/x)))/(3*x^2+12*x-15)/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{{\mathrm e}^{x \,{\mathrm e}^{-x^{2}}}}+{\mathrm e}^{-\frac{5 x \left(i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x -5\right)}{x}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x -5\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x -5\right)}{x}\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+4 x -5\right)\right)+i \pi  \,\mathrm{csgn}\left(\frac{i \left(x^{2}+4 x -5\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x^{2}+4 x -5\right)\right)+2 \ln \left(x \right)-2 \ln \left(x^{2}+4 x -5\right)\right)}{6}}$&$154$\\ \hline \end{longtable}"," ",0,"x*exp(exp(x*exp(-x^2)))+exp(-5/6*x*(I*Pi*csgn(I/x*(x^2+4*x-5))^3-I*Pi*csgn(I/x*(x^2+4*x-5))^2*csgn(I/x)-I*Pi*csgn(I/x*(x^2+4*x-5))^2*csgn(I*(x^2+4*x-5))+I*Pi*csgn(I/x*(x^2+4*x-5))*csgn(I/x)*csgn(I*(x^2+4*x-5))+2*ln(x)-2*ln(x^2+4*x-5)))","C"
1098,1,71,21,0.142000," ","int(((-128*x^4+512*x^3+12*x-12)*exp(x)+(-96*x^4+512*x^3+9*x-12)*exp(3/4*x+5))/(8*exp(x)^2+16*exp(3/4*x+5)*exp(x)+8*exp(3/4*x+5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(32 x^{3}-3\right) {\mathrm e}^{-15-\frac{x}{4}}}{2}-\frac{x \left(32 x^{3}-3\right) {\mathrm e}^{-10-\frac{x}{2}}}{2}+\frac{x \left(32 x^{3}-3\right) {\mathrm e}^{-5-\frac{3 x}{4}}}{2}-\frac{{\mathrm e}^{-15} x \left(32 x^{3}-3\right)}{2 \left({\mathrm e}^{5}+{\mathrm e}^{\frac{x}{4}}\right)}$&$71$\\ \hline \end{longtable}"," ",0,"1/2*x*(32*x^3-3)*exp(-15-1/4*x)-1/2*x*(32*x^3-3)*exp(-10-1/2*x)+1/2*x*(32*x^3-3)*exp(-5-3/4*x)-1/2*exp(-15)*x*(32*x^3-3)/(exp(5)+exp(1/4*x))","B"
1099,1,38,26,0.230000," ","int((-4*ln(x)*ln(ln(x))^2+(8*x-8)*ln(ln(x))+(x^2-x-1)*exp(x)*ln(x)^2+((25*x^2-24*x-26)*exp(x)-16*x^2+32*x-16)*ln(x))/(8*x^2-16*x+8)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(\ln \left(x \right)\right)^{2}}{2 x -2}-\frac{x \left(-{\mathrm e}^{x} \ln \left(x \right)+16 x -25 \,{\mathrm e}^{x}-16\right)}{8 \left(x -1\right)}$&$38$\\ \hline \end{longtable}"," ",0,"1/2*x/(x-1)*ln(ln(x))^2-1/8*x*(-exp(x)*ln(x)+16*x-25*exp(x)-16)/(x-1)","A"
1100,1,27,19,0.026000," ","int(((12*x^3+4*x^2-72)*ln(x)+3*x^4-10*x^3-18*x+72)/(4*x^3*ln(x)+x^4-4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{9+x^{2} \ln \left(x \right)+3 x^{3}}{x^{2}}+\ln \left(x -4+4 \ln \left(x \right)\right)$&$27$\\ risch&$\frac{9+x^{2} \ln \left(x \right)+3 x^{3}}{x^{2}}+\ln \left(\frac{x}{4}+\ln \left(x \right)-1\right)$&$27$\\ \hline \end{longtable}"," ",0,"(9+x^2*ln(x)+3*x^3)/x^2+ln(x-4+4*ln(x))","A"
1101,1,19,21,0.250000," ","int((exp(x)^2+(200*exp(9)*ln(2)^2-x-5)*exp(x)+10000*exp(9)^2*ln(2)^4-500*exp(9)*ln(2)^2+6)/(exp(x)^2+(200*exp(9)*ln(2)^2-6)*exp(x)+10000*exp(9)^2*ln(2)^4-600*exp(9)*ln(2)^2+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+{\mathrm e}^{x}-3}$&$19$\\ norman&$\frac{\left(100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}-2\right) x +{\mathrm e}^{x} x}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+{\mathrm e}^{x}-3}$&$33$\\ default&$-\frac{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+{\mathrm e}^{x}-3}+\frac{2}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+{\mathrm e}^{x}-3}+\ln \left(100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+{\mathrm e}^{x}-3\right)+\frac{\frac{6}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}-3}+\frac{6 x}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}-3}+\frac{6 x \,{\mathrm e}^{x}}{10000 \left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-600 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+9}}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+{\mathrm e}^{x}-3}-\frac{6 \ln \left(100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+{\mathrm e}^{x}-3\right)}{10000 \left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-600 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+9}+\frac{-\frac{500 \,{\mathrm e}^{9} \ln \left(2\right)^{2}}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}-3}-\frac{500 \,{\mathrm e}^{9} \ln \left(2\right)^{2} x}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}-3}-\frac{500 \,{\mathrm e}^{9} \ln \left(2\right)^{2} x \,{\mathrm e}^{x}}{10000 \left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-600 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+9}}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+{\mathrm e}^{x}-3}+\frac{500 \,{\mathrm e}^{9} \ln \left(2\right)^{2} \ln \left(100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+{\mathrm e}^{x}-3\right)}{10000 \left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-600 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+9}+\frac{\frac{10000 \left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}-3}+\frac{10000 \left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4} x}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}-3}+\frac{10000 \left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4} x \,{\mathrm e}^{x}}{10000 \left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-600 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+9}}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+{\mathrm e}^{x}-3}-\frac{10000 \left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4} \ln \left(100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+{\mathrm e}^{x}-3\right)}{10000 \left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-600 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+9}-\frac{x \left(\ln \left(\frac{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}-100 \sqrt{\left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-{\mathrm e}^{18} \ln \left(2\right)^{4}}+{\mathrm e}^{x}-3}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}-100 \sqrt{\left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-{\mathrm e}^{18} \ln \left(2\right)^{4}}-3}\right)-\ln \left(\frac{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+100 \sqrt{\left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-{\mathrm e}^{18} \ln \left(2\right)^{4}}+{\mathrm e}^{x}-3}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+100 \sqrt{\left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-{\mathrm e}^{18} \ln \left(2\right)^{4}}-3}\right)\right)}{200 \sqrt{\left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-{\mathrm e}^{18} \ln \left(2\right)^{4}}}-\frac{\dilog \left(\frac{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}-100 \sqrt{\left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-{\mathrm e}^{18} \ln \left(2\right)^{4}}+{\mathrm e}^{x}-3}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}-100 \sqrt{\left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-{\mathrm e}^{18} \ln \left(2\right)^{4}}-3}\right)}{200 \sqrt{\left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-{\mathrm e}^{18} \ln \left(2\right)^{4}}}+\frac{\dilog \left(\frac{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+100 \sqrt{\left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-{\mathrm e}^{18} \ln \left(2\right)^{4}}+{\mathrm e}^{x}-3}{100 \,{\mathrm e}^{9} \ln \left(2\right)^{2}+100 \sqrt{\left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-{\mathrm e}^{18} \ln \left(2\right)^{4}}-3}\right)}{200 \sqrt{\left({\mathrm e}^{9}\right)^{2} \ln \left(2\right)^{4}-{\mathrm e}^{18} \ln \left(2\right)^{4}}}$&$786$\\ \hline \end{longtable}"," ",0,"x+x/(100*exp(9)*ln(2)^2+exp(x)-3)","A"
1102,1,17,14,0.033000," ","int((exp(3/2)^2*exp(2)*exp(exp(2)*x)+exp(3/2)^2+1)/exp(3/2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-3} x \,{\mathrm e}^{3}+x \,{\mathrm e}^{-3}+{\mathrm e}^{{\mathrm e}^{2} x}$&$17$\\ default&${\mathrm e}^{-3} \left(x +x \,{\mathrm e}^{3}+{\mathrm e}^{3} {\mathrm e}^{{\mathrm e}^{2} x}\right)$&$24$\\ norman&$\left({\mathrm e}^{\frac{3}{2}} {\mathrm e}^{{\mathrm e}^{2} x}+\left({\mathrm e}^{3}+1\right) {\mathrm e}^{-\frac{3}{2}} x \right) {\mathrm e}^{-\frac{3}{2}}$&$27$\\ derivativedivides&${\mathrm e}^{-3} {\mathrm e}^{-2} \left({\mathrm e}^{{\mathrm e}^{2} x} {\mathrm e}^{5}+\left({\mathrm e}^{3}+1\right) \ln \left({\mathrm e}^{{\mathrm e}^{2} x}\right)\right)$&$30$\\ \hline \end{longtable}"," ",0,"exp(-3)*x*exp(3)+x*exp(-3)+exp(exp(2)*x)","A"
1103,1,20,28,0.421000," ","int((-12*x^4-13*x^3-2*x^2-48*x-4)/(12*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\frac{2}{x^{2}}-2 \ln \left(x \right)+\ln \left(12 x +1\right)$&$20$\\ risch&$-x +\frac{2}{x^{2}}-2 \ln \left(x \right)+\ln \left(12 x +1\right)$&$20$\\ norman&$\frac{-x^{3}+2}{x^{2}}-2 \ln \left(x \right)+\ln \left(12 x +1\right)$&$23$\\ meijerg&$-x +\ln \left(12 x +1\right)-2 \ln \left(x \right)-4 \ln \left(2\right)-2 \ln \left(3\right)+\frac{2}{x^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"-x+2/x^2-2*ln(x)+ln(12*x+1)","A"
1104,1,26,20,0.023000," ","int((-504*exp(2)*ln(5)+504*exp(2)*exp(3)+12600*exp(2)+168*x)/exp(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$504 x \,{\mathrm e}-504 \,{\mathrm e}^{-2} x \ln \left(5\right)+12600 x \,{\mathrm e}^{-2}+84 x^{2} {\mathrm e}^{-4}$&$26$\\ gosper&$-84 x \left(6 \,{\mathrm e}^{2} \ln \left(5\right)-6 \,{\mathrm e}^{2} {\mathrm e}^{3}-150 \,{\mathrm e}^{2}-x \right) {\mathrm e}^{-4}$&$28$\\ norman&$\left(\left(-504 \ln \left(5\right)+504 \,{\mathrm e}^{3}+12600\right) x +84 x^{2} {\mathrm e}^{-2}\right) {\mathrm e}^{-2}$&$28$\\ default&${\mathrm e}^{-4} \left(-504 x \,{\mathrm e}^{2} \ln \left(5\right)+504 x \,{\mathrm e}^{2} {\mathrm e}^{3}+12600 \,{\mathrm e}^{2} x +84 x^{2}\right)$&$31$\\ \hline \end{longtable}"," ",0,"504*x*exp(1)-504*exp(-2)*x*ln(5)+12600*x*exp(-2)+84*x^2*exp(-4)","A"
1105,1,21,32,0.020000," ","int((ln(2)^2-8*ln(2)-4*x+14)*exp(x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\ln \left(2\right)^{2}-8 \ln \left(2\right)-4 x +18\right) {\mathrm e}^{x}-x$&$21$\\ norman&$\left(18+\ln \left(2\right)^{2}-8 \ln \left(2\right)\right) {\mathrm e}^{x}-x -4 \,{\mathrm e}^{x} x$&$23$\\ default&$-x +\ln \left(2\right)^{2} {\mathrm e}^{x}-4 \,{\mathrm e}^{x} x +18 \,{\mathrm e}^{x}-8 \,{\mathrm e}^{x} \ln \left(2\right)$&$27$\\ \hline \end{longtable}"," ",0,"(ln(2)^2-8*ln(2)-4*x+18)*exp(x)-x","A"
1106,1,14,20,0.018000," ","int((29*x^2-12*x+18)/(6*x^4-36*x^3+54*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{9}{2 \left(x -3\right)}-\frac{1}{3 x}$&$14$\\ norman&$\frac{1-\frac{29 x}{6}}{x \left(x -3\right)}$&$15$\\ risch&$\frac{1-\frac{29 x}{6}}{x \left(x -3\right)}$&$15$\\ gosper&$-\frac{29 x -6}{6 x \left(x -3\right)}$&$16$\\ \hline \end{longtable}"," ",0,"-9/2/(x-3)-1/3/x","A"
1107,1,18,22,0.038000," ","int((-12*x^3+6)/(x^4+3*x^2+x)/ln(5*x/(x^3+3*x+1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$6 \ln \left(\ln \left(\frac{5 x}{x^{3}+3 x +1}\right)\right)$&$18$\\ risch&$6 \ln \left(\ln \left(\frac{5 x}{x^{3}+3 x +1}\right)\right)$&$18$\\ \hline \end{longtable}"," ",0,"6*ln(ln(5*x/(x^3+3*x+1)))","A"
1108,1,19,24,0.231000," ","int(((16*x^2-80*x-80)*exp(x)-48*x^2+480*x+400)/(5*x^2-50*x+125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{48 x^{2}}{5}+\frac{16 \,{\mathrm e}^{x} x}{5}-80}{x -5}$&$19$\\ risch&$-\frac{48 x}{5}-\frac{320}{x -5}+\frac{16 x \,{\mathrm e}^{x}}{5 \left(x -5\right)}$&$22$\\ default&$-\frac{320}{x -5}-\frac{48 x}{5}+\frac{16 \,{\mathrm e}^{x}}{x -5}+\frac{16 \,{\mathrm e}^{x}}{5}$&$25$\\ \hline \end{longtable}"," ",0,"(-48/5*x^2+16/5*exp(x)*x-80)/(x-5)","A"
1109,1,29,30,0.161000," ","int(((2*x^5-9*x^4-20*x^3+76*x^2+96*x-64)*exp(-x^2+x)-5*x^4+20*x^3+65*x^2-152*x-288)/(x^4-4*x^3-12*x^2+32*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{-x^{2}+x}-\frac{1}{2+x}-\frac{4}{x -4}-5 x$&$29$\\ risch&$-5 x +\frac{-5 x -4}{x^{2}-2 x -8}-{\mathrm e}^{-x \left(x -1\right)}$&$30$\\ norman&$\frac{55 x -5 x^{3}+2 \,{\mathrm e}^{-x^{2}+x} x -{\mathrm e}^{-x^{2}+x} x^{2}+8 \,{\mathrm e}^{-x^{2}+x}+76}{x^{2}-2 x -8}$&$56$\\ \hline \end{longtable}"," ",0,"-exp(-x^2+x)-1/(2+x)-4/(x-4)-5*x","A"
1110,1,18,14,0.025000," ","int((10*x*ln(x)+(-x-1)*exp(x)+5*x)/(25*x^4*ln(x)^2-10*x^3*exp(x)*ln(x)+exp(x)^2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{x \left(5 x \ln \left(x \right)-{\mathrm e}^{x}\right)}$&$18$\\ \hline \end{longtable}"," ",0,"-1/x/(5*x*ln(x)-exp(x))","A"
1111,1,31,19,0.063000," ","int(((-2*x^2-x)*exp(x^2+x+1)*ln(x)+(-2*x^3-x^2-x-1)*exp(x^2+x+1))/x/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x \,{\mathrm e}^{x^{2}+x +1}}{\ln \left(5\right)}-\frac{{\mathrm e}^{x^{2}+x +1} \ln \left(x \right)}{\ln \left(5\right)}$&$31$\\ risch&$-\frac{x \,{\mathrm e}^{x^{2}+x +1}}{\ln \left(5\right)}-\frac{{\mathrm e}^{x^{2}+x +1} \ln \left(x \right)}{\ln \left(5\right)}$&$31$\\ \hline \end{longtable}"," ",0,"-x/ln(5)*exp(x^2+x+1)-1/ln(5)*exp(x^2+x+1)*ln(x)","A"
1112,1,24,20,0.033000," ","int((2*x*ln(x^3)^4-56*x*ln(x^3)^3+(584*x+5)*ln(x^3)^2+(-2688*x-100)*ln(x^3)+4608*x+450)/(ln(x^3)^4-28*ln(x^3)^3+292*ln(x^3)^2-1344*ln(x^3)+2304),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{5 x}{\ln \left(x^{3}\right)^{2}-14 \ln \left(x^{3}\right)+48}$&$24$\\ norman&$\frac{x^{2} \ln \left(x^{3}\right)^{2}+5 x +48 x^{2}-14 x^{2} \ln \left(x^{3}\right)}{\ln \left(x^{3}\right)^{2}-14 \ln \left(x^{3}\right)+48}$&$46$\\ \hline \end{longtable}"," ",0,"x^2+5*x/(ln(x^3)^2-14*ln(x^3)+48)","A"
1113,1,16,16,0.042000," ","int(((x-1)*exp(x)^2+(3*x^2-3*x)*exp(x)+x^3-x^2)/(x*exp(x)^2+2*exp(x)*x^2+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\ln \left(x \right)-\frac{x}{{\mathrm e}^{x}+x}$&$16$\\ norman&$\frac{x^{2}+{\mathrm e}^{x}+{\mathrm e}^{x} x}{{\mathrm e}^{x}+x}-\ln \left(x \right)$&$23$\\ \hline \end{longtable}"," ",0,"x-ln(x)-x/(exp(x)+x)","A"
1114,1,24,22,0.060000," ","int((-2*x^2*exp(4*exp(5))-ln(3))/x^2/ln(5)/exp(4*exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x}{\ln \left(5\right)}+\frac{{\mathrm e}^{-4 \,{\mathrm e}^{5}} \ln \left(3\right)}{\ln \left(5\right) x}$&$24$\\ norman&$\frac{\frac{{\mathrm e}^{-4 \,{\mathrm e}^{5}} \ln \left(3\right)}{\ln \left(5\right)}-\frac{2 x^{2}}{\ln \left(5\right)}}{x}$&$27$\\ default&$\frac{{\mathrm e}^{-4 \,{\mathrm e}^{5}} \left(-2 x \,{\mathrm e}^{4 \,{\mathrm e}^{5}}+\frac{\ln \left(3\right)}{x}\right)}{\ln \left(5\right)}$&$28$\\ gosper&$\frac{\left(-2 x^{2} {\mathrm e}^{4 \,{\mathrm e}^{5}}+\ln \left(3\right)\right) {\mathrm e}^{-4 \,{\mathrm e}^{5}}}{x \ln \left(5\right)}$&$29$\\ \hline \end{longtable}"," ",0,"-2*x/ln(5)+1/ln(5)*exp(-4*exp(5))*ln(3)/x","A"
1115,1,52,31,0.253000," ","int(((8*x^3+15*x^2)*exp(2)*ln(x)+((32*x^4+80*x^3+50*x^2)*exp(2)*exp(3)^2+(-96*x^5-240*x^4-150*x^3)*exp(2)*exp(3)+(64*x^6+160*x^5+100*x^4+16*x^2+40*x+25)*exp(2))*exp(x^2*exp(3)^2-2*x^3*exp(3)+x^4)+(4*x^3+5*x^2)*exp(2))/(16*x^2+40*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2} \left(64 x^{3}-100 x -125\right) \ln \left(x \right)}{256 x +320}+\frac{25 \,{\mathrm e}^{2} \ln \left(x \right)}{64}+x \,{\mathrm e}^{-2 x^{3} {\mathrm e}^{3}+x^{4}+x^{2} {\mathrm e}^{6}+2}$&$52$\\ default&${\mathrm e}^{2} x \,{\mathrm e}^{x^{2} {\mathrm e}^{6}-2 x^{3} {\mathrm e}^{3}+x^{4}}+\frac{x^{2} {\mathrm e}^{2} \ln \left(x \right)}{4}-\frac{5 x \,{\mathrm e}^{2} \ln \left(x \right)}{16}+\frac{25 \,{\mathrm e}^{2} \ln \left(x \right) x}{16 \left(4 x +5\right)}$&$56$\\ \hline \end{longtable}"," ",0,"1/64*exp(2)*(64*x^3-100*x-125)/(4*x+5)*ln(x)+25/64*exp(2)*ln(x)+x*exp(-2*x^3*exp(3)+x^4+x^2*exp(6)+2)","A"
1116,0,0,32,0.133000," ","int((((4*x+2)*ln(5*ln(3)/exp(2)/x)^2-2*ln(5*ln(3)/exp(2)/x)-2)*ln(((-x^2-x)*ln(5*ln(3)/exp(2)/x)+x)/ln(5*ln(3)/exp(2)/x))+(-8*x-4)*ln(5*ln(3)/exp(2)/x)^2+4*ln(5*ln(3)/exp(2)/x)+4)/((x^2+x)*ln(5*ln(3)/exp(2)/x)^2-x*ln(5*ln(3)/exp(2)/x)),x)","\[\int \frac{\left(\left(4 x +2\right) \ln \left(\frac{5 \ln \left(3\right) {\mathrm e}^{-2}}{x}\right)^{2}-2 \ln \left(\frac{5 \ln \left(3\right) {\mathrm e}^{-2}}{x}\right)-2\right) \ln \left(\frac{\left(-x^{2}-x \right) \ln \left(\frac{5 \ln \left(3\right) {\mathrm e}^{-2}}{x}\right)+x}{\ln \left(\frac{5 \ln \left(3\right) {\mathrm e}^{-2}}{x}\right)}\right)+\left(-8 x -4\right) \ln \left(\frac{5 \ln \left(3\right) {\mathrm e}^{-2}}{x}\right)^{2}+4 \ln \left(\frac{5 \ln \left(3\right) {\mathrm e}^{-2}}{x}\right)+4}{\left(x^{2}+x \right) \ln \left(\frac{5 \ln \left(3\right) {\mathrm e}^{-2}}{x}\right)^{2}-x \ln \left(\frac{5 \ln \left(3\right) {\mathrm e}^{-2}}{x}\right)}\, dx\]"," ",0,"int((((4*x+2)*ln(5*ln(3)/exp(2)/x)^2-2*ln(5*ln(3)/exp(2)/x)-2)*ln(((-x^2-x)*ln(5*ln(3)/exp(2)/x)+x)/ln(5*ln(3)/exp(2)/x))+(-8*x-4)*ln(5*ln(3)/exp(2)/x)^2+4*ln(5*ln(3)/exp(2)/x)+4)/((x^2+x)*ln(5*ln(3)/exp(2)/x)^2-x*ln(5*ln(3)/exp(2)/x)),x)","F"
1117,1,22,21,0.197000," ","int(((4*x-1)*ln(2*x^2-1/2*x)+24*x^3-6*x^2+4*x)/(4*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(2 x^{2}-\frac{1}{2} x \right) x -x +2 x^{3}$&$22$\\ risch&$\ln \left(2 x^{2}-\frac{1}{2} x \right) x -x +2 x^{3}$&$22$\\ default&$2 x^{3}-x -x \ln \left(2\right)+x \ln \left(4 x^{2}-x \right)$&$27$\\ \hline \end{longtable}"," ",0,"ln(2*x^2-1/2*x)*x-x+2*x^3","A"
1118,1,23,22,0.081000," ","int(1/9*(-4*ln(2)-2*I*Pi-9*x^3-3*x-12)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(2\right)+i \pi +6+3 x}{9 x^{2}}-x$&$23$\\ default&$-x -\frac{-2 i \pi -4 \ln \left(2\right)-12}{18 x^{2}}+\frac{1}{3 x}$&$25$\\ gosper&$\frac{\left(9 i x^{3}-2 i \ln \left(2\right)-3 i x +\pi -6 i\right) \left(9 x^{3}+2 i \pi +4 \ln \left(2\right)+3 x +12\right)}{9 x^{2} \left(-9 i x^{3}-4 i \ln \left(2\right)-3 i x +2 \pi -12 i\right)}$&$66$\\ \hline \end{longtable}"," ",0,"1/9*(2*ln(2)+I*Pi+6+3*x)/x^2-x","A"
1119,1,34,29,0.082000," ","int((((exp(x)*x^3+2*x^3+x^2)*ln(x)*exp(x-ln(x))^2*exp(exp(x))+(8*x^3+4*x^2)*ln(x)*exp(x-ln(x))^2)*ln(ln(x))^2+((4*exp(x)*x^2+8*x^2)*ln(x)*exp(x-ln(x))^2*exp(exp(x))+32*x^2*ln(x)*exp(x-ln(x))^2)*ln(ln(x))-4*x*exp(x-ln(x))^2*exp(exp(x))-16*x*exp(x-ln(x))^2)/ln(x)/ln(ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{{\mathrm e}^{x}+2 x}+4 x \,{\mathrm e}^{2 x}+\frac{4 \,{\mathrm e}^{2 x} \left({\mathrm e}^{{\mathrm e}^{x}}+4\right)}{\ln \left(\ln \left(x \right)\right)}$&$34$\\ \hline \end{longtable}"," ",0,"x*exp(exp(x)+2*x)+4*x*exp(2*x)+4*exp(2*x)*(exp(exp(x))+4)/ln(ln(x))","A"
1120,1,11,10,0.018000," ","int(25/4*exp(-25*exp(3)+25/4*x-9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-25 \,{\mathrm e}^{3}+\frac{25 x}{4}-9}$&$11$\\ derivativedivides&${\mathrm e}^{-25 \,{\mathrm e}^{3}+\frac{25 x}{4}-9}$&$11$\\ default&${\mathrm e}^{-25 \,{\mathrm e}^{3}+\frac{25 x}{4}-9}$&$11$\\ norman&${\mathrm e}^{-25 \,{\mathrm e}^{3}+\frac{25 x}{4}-9}$&$11$\\ risch&${\mathrm e}^{-25 \,{\mathrm e}^{3}+\frac{25 x}{4}-9}$&$11$\\ meijerg&$-{\mathrm e}^{-25 \,{\mathrm e}^{3}-9} \left(1-{\mathrm e}^{\frac{25 x}{4}}\right)$&$18$\\ \hline \end{longtable}"," ",0,"exp(-25*exp(3)+25/4*x-9)","A"
1121,1,43,31,0.496000," ","int((4*(-2*x^4*exp(4)-4*x^6-6*x^5+2*x^4)*ln(2)^2+2*((-3*x^2-6*x)*exp(4)^2+(-12*x^4-18*x^3+12*x^2)*exp(4)-12*x^6-12*x^5+21*x^4-6*x^3)*ln(2))*exp(x)/(16*x^4*ln(2)^2+2*(12*x^2*exp(4)+24*x^4-12*x^3)*ln(2)+9*exp(4)^2+(36*x^2-18*x)*exp(4)+36*x^4-36*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{2 x^{2} \left(2 x^{2}+{\mathrm e}^{4}-x \right) \ln \left(2\right) {\mathrm e}^{x}}{4 x^{2} \ln \left(2\right)+6 x^{2}+3 \,{\mathrm e}^{4}-3 x}$&$43$\\ risch&$-\frac{2 x^{2} \left(2 x^{2}+{\mathrm e}^{4}-x \right) \ln \left(2\right) {\mathrm e}^{x}}{4 x^{2} \ln \left(2\right)+6 x^{2}+3 \,{\mathrm e}^{4}-3 x}$&$43$\\ norman&$\frac{2 x^{3} \ln \left(2\right) {\mathrm e}^{x}-4 x^{4} \ln \left(2\right) {\mathrm e}^{x}-2 x^{2} {\mathrm e}^{4} \ln \left(2\right) {\mathrm e}^{x}}{4 x^{2} \ln \left(2\right)+6 x^{2}+3 \,{\mathrm e}^{4}-3 x}$&$54$\\ default&$\text{Expression too large to display}$&$45072$\\ \hline \end{longtable}"," ",0,"-2*x^2*(2*x^2+exp(4)-x)*ln(2)*exp(x)/(4*x^2*ln(2)+6*x^2+3*exp(4)-3*x)","A"
1122,1,31,14,0.048000," ","int(1/2187*(2187*x^13*exp(x)+4374*x^14+2187*x^13-1890*x^7-196)*exp(1/6561*(6561*x^12*exp(x)+6561*x^14+6561*x^13+1134*x^7+49)/x^12)/x^13,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{6561 x^{12} {\mathrm e}^{x}+6561 x^{14}+6561 x^{13}+1134 x^{7}+49}{6561 x^{12}}}$&$31$\\ \hline \end{longtable}"," ",0,"exp(1/6561*(6561*x^12*exp(x)+6561*x^14+6561*x^13+1134*x^7+49)/x^12)","B"
1123,1,110,34,0.132000," ","int(((-2*ln(x)*ln(ln(x))+2*x*ln(x))*ln(ln(ln(x))^2-2*x*ln(ln(x))+x^2)+(-2*x^2*exp(5)+6*x^4*exp(4)^2)*ln(x)*ln(ln(x))+(2*x^3*exp(5)-6*x^5*exp(4)^2-4*x)*ln(x)+4)/((ln(x)*ln(ln(x))-x*ln(x))*ln(ln(ln(x))^2-2*x*ln(ln(x))+x^2)^2+((-2*x^2*exp(5)+2*x^4*exp(4)^2)*ln(x)*ln(ln(x))+(2*x^3*exp(5)-2*x^5*exp(4)^2)*ln(x))*ln(ln(ln(x))^2-2*x*ln(ln(x))+x^2)+(x^4*exp(5)^2-2*x^6*exp(4)^2*exp(5)+x^8*exp(4)^4)*ln(x)*ln(ln(x))+(-x^5*exp(5)^2+2*x^7*exp(4)^2*exp(5)-x^9*exp(4)^4)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x}{2 x^{4} {\mathrm e}^{8}-2 x^{2} {\mathrm e}^{5}-i \pi  \mathrm{csgn}\left(i \left(x -\ln \left(\ln \left(x \right)\right)\right)\right)^{2} \mathrm{csgn}\left(i \left(x -\ln \left(\ln \left(x \right)\right)\right)^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i \left(x -\ln \left(\ln \left(x \right)\right)\right)\right) \mathrm{csgn}\left(i \left(x -\ln \left(\ln \left(x \right)\right)\right)^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i \left(x -\ln \left(\ln \left(x \right)\right)\right)^{2}\right)^{3}+4 \ln \left(x -\ln \left(\ln \left(x \right)\right)\right)}$&$110$\\ \hline \end{longtable}"," ",0,"-4*x/(2*x^4*exp(8)-2*x^2*exp(5)-I*Pi*csgn(I*(x-ln(ln(x))))^2*csgn(I*(x-ln(ln(x)))^2)+2*I*Pi*csgn(I*(x-ln(ln(x))))*csgn(I*(x-ln(ln(x)))^2)^2-I*Pi*csgn(I*(x-ln(ln(x)))^2)^3+4*ln(x-ln(ln(x))))","C"
1124,1,58,24,0.061000," ","int((((4*exp(x)-8)*ln(-exp(x)+2)+(4*x^2+8*x-4)*exp(x)-8*x^2-16*x+16)*ln(ln(-exp(x)+2)+x^2-2)+((4*x-4*exp(3))*exp(x)+8*exp(3)-8*x)*ln(-exp(x)+2)+((-4*x^2-8*x+4)*exp(3)+4*x^3+8*x^2-4*x)*exp(x)+(8*x^2+16*x-16)*exp(3)-8*x^3-16*x^2+16*x)*exp(ln(ln(-exp(x)+2)+x^2-2)^2+(-2*exp(3)+2*x)*ln(ln(-exp(x)+2)+x^2-2)+exp(3)^2-2*x*exp(3)+x^2)^2/((exp(x)-2)*ln(-exp(x)+2)+(x^2-2)*exp(x)-2*x^2+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\ln \left(-{\mathrm e}^{x}+2\right)+x^{2}-2\right)^{4 x -4 \,{\mathrm e}^{3}} {\mathrm e}^{2 \ln \left(\ln \left(-{\mathrm e}^{x}+2\right)+x^{2}-2\right)^{2}+2 \,{\mathrm e}^{6}-4 x \,{\mathrm e}^{3}+2 x^{2}}$&$58$\\ \hline \end{longtable}"," ",0,"((ln(-exp(x)+2)+x^2-2)^(-2*exp(3)+2*x))^2*exp(2*ln(ln(-exp(x)+2)+x^2-2)^2+2*exp(6)-4*x*exp(3)+2*x^2)","B"
1125,1,85,29,0.391000," ","int(((2*x^3-11*x^2-8*x+16)*exp(4*exp(x^2)*x)^2+((16*x^4-128*x^3+264*x^2-64*x+128)*exp(x^2)-4*x^4+22*x^3+16*x^2-32*x)*exp(4*exp(x^2)*x)+2*x^5-11*x^4-8*x^3+14*x^2+16*x-32)*exp(((x^3+x^2-5*x+4)*exp(4*exp(x^2)*x)-x^4-x^3+5*x^2-6*x+8)/((x-4)*exp(4*exp(x^2)*x)-x^2+4*x))/((x^2-8*x+16)*exp(4*exp(x^2)*x)^2+(-2*x^3+16*x^2-32*x)*exp(4*exp(x^2)*x)+x^4-8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-{\mathrm e}^{4 \,{\mathrm e}^{x^{2}} x} x^{3}+x^{4}-{\mathrm e}^{4 \,{\mathrm e}^{x^{2}} x} x^{2}+x^{3}+5 \,{\mathrm e}^{4 \,{\mathrm e}^{x^{2}} x} x -5 x^{2}-4 \,{\mathrm e}^{4 \,{\mathrm e}^{x^{2}} x}+6 x -8}{\left(x -4\right) \left(-{\mathrm e}^{4 \,{\mathrm e}^{x^{2}} x}+x \right)}}$&$85$\\ \hline \end{longtable}"," ",0,"exp((-exp(4*exp(x^2)*x)*x^3+x^4-exp(4*exp(x^2)*x)*x^2+x^3+5*exp(4*exp(x^2)*x)*x-5*x^2-4*exp(4*exp(x^2)*x)+6*x-8)/(x-4)/(-exp(4*exp(x^2)*x)+x))","B"
1126,1,7,11,0.187000," ","int((9*exp(ln(x+1/3)+3)+6*x+2)/(9*x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left({\mathrm e}^{3}+\frac{2}{3}\right) x$&$7$\\ default&$\frac{2 x}{3}+x \,{\mathrm e}^{3}$&$9$\\ risch&$\frac{2 x}{3}+x \,{\mathrm e}^{3}$&$9$\\ \hline \end{longtable}"," ",0,"(exp(3)+2/3)*x","A"
1127,1,107,39,0.250000," ","int((((160*x+4000)*exp(x)-80*x^2-1920*x+2064)*ln(x^2+50*x+625)+(800*x+20000)*exp(x)^2+(-200*x^3-5000*x^2+400*x+10320)*exp(x)+100*x^4+2200*x^3-7380*x^2+5160*x)/(25*x+625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{32 \left(\ln \left(\left(x +25\right)^{2}\right)-2 \ln \left(x +25\right)\right) {\mathrm e}^{x}}{5}+16 \,{\mathrm e}^{x} x -8 \,{\mathrm e}^{x} x^{2}+\frac{64 \ln \left(x +25\right) {\mathrm e}^{x}}{5}+16 \,{\mathrm e}^{2 x}+x^{4}-4 x^{3}+4 x^{2}-\frac{8 \ln \left(x^{2}+50 x +625\right) x^{2}}{5}+\frac{16 \ln \left(x^{2}+50 x +625\right) x}{5}+\frac{64 \ln \left(x +25\right) \ln \left(x^{2}+50 x +625\right)}{25}-\frac{64 \ln \left(x +25\right)^{2}}{25}$&$107$\\ risch&$\frac{64 \ln \left(x +25\right)^{2}}{25}+\left(-\frac{16 x^{2}}{5}+\frac{32 x}{5}+\frac{64 \,{\mathrm e}^{x}}{5}\right) \ln \left(x +25\right)+\frac{64 i \ln \left(x +25\right) \pi  \,\mathrm{csgn}\left(i \left(x +25\right)\right) \mathrm{csgn}\left(i \left(x +25\right)^{2}\right)^{2}}{25}-\frac{8 i \pi  x \mathrm{csgn}\left(i \left(x +25\right)^{2}\right)^{3}}{5}-\frac{32 i \ln \left(x +25\right) \pi  \mathrm{csgn}\left(i \left(x +25\right)\right)^{2} \mathrm{csgn}\left(i \left(x +25\right)^{2}\right)}{25}-\frac{16 i \pi  \mathrm{csgn}\left(i \left(x +25\right)^{2}\right)^{3} {\mathrm e}^{x}}{5}-\frac{16 i \pi  \mathrm{csgn}\left(i \left(x +25\right)\right)^{2} \mathrm{csgn}\left(i \left(x +25\right)^{2}\right) {\mathrm e}^{x}}{5}+\frac{4 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x +25\right)^{2}\right)^{3}}{5}+x^{4}-4 x^{3}+4 x^{2}-\frac{8 i \pi  x \mathrm{csgn}\left(i \left(x +25\right)\right)^{2} \mathrm{csgn}\left(i \left(x +25\right)^{2}\right)}{5}-\frac{32 i \ln \left(x +25\right) \pi  \mathrm{csgn}\left(i \left(x +25\right)^{2}\right)^{3}}{25}-\frac{8 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x +25\right)\right) \mathrm{csgn}\left(i \left(x +25\right)^{2}\right)^{2}}{5}+16 \,{\mathrm e}^{2 x}+\frac{32 i \pi  \,\mathrm{csgn}\left(i \left(x +25\right)\right) \mathrm{csgn}\left(i \left(x +25\right)^{2}\right)^{2} {\mathrm e}^{x}}{5}+\frac{4 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x +25\right)\right)^{2} \mathrm{csgn}\left(i \left(x +25\right)^{2}\right)}{5}+\frac{16 i \pi  x \,\mathrm{csgn}\left(i \left(x +25\right)\right) \mathrm{csgn}\left(i \left(x +25\right)^{2}\right)^{2}}{5}+16 \,{\mathrm e}^{x} x -8 \,{\mathrm e}^{x} x^{2}$&$325$\\ \hline \end{longtable}"," ",0,"32/5*(ln((x+25)^2)-2*ln(x+25))*exp(x)+16*exp(x)*x-8*exp(x)*x^2+64/5*ln(x+25)*exp(x)+16*exp(x)^2+x^4-4*x^3+4*x^2-8/5*ln(x^2+50*x+625)*x^2+16/5*ln(x^2+50*x+625)*x+64/25*ln(x+25)*ln(x^2+50*x+625)-64/25*ln(x+25)^2","B"
1128,1,10,15,0.012000," ","int(-180/(exp(5/4)+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{180 x}{{\mathrm e}^{\frac{5}{4}}+3}$&$10$\\ norman&$-\frac{180 x}{{\mathrm e}^{\frac{5}{4}}+3}$&$10$\\ risch&$-\frac{180 x}{{\mathrm e}^{\frac{5}{4}}+3}$&$10$\\ \hline \end{longtable}"," ",0,"-180/(exp(5/4)+3)*x","A"
1129,1,26,21,0.065000," ","int(((2*exp(x)*x+2*x)*ln(x)^3*ln(10*x)+(2*exp(x)+8*x)*ln(x)^3+x*ln(x)-2*x)/x/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$6 x +2 \ln \left(10 x \right) {\mathrm e}^{x}+\frac{x}{\ln \left(x \right)^{2}}+2 \ln \left(10 x \right) x$&$26$\\ risch&$\left(2 \,{\mathrm e}^{x}+2 x \right) \ln \left(x \right)+2 x \ln \left(5\right)+2 \,{\mathrm e}^{x} \ln \left(5\right)+2 x \ln \left(2\right)+2 \,{\mathrm e}^{x} \ln \left(2\right)+6 x +\frac{x}{\ln \left(x \right)^{2}}$&$44$\\ \hline \end{longtable}"," ",0,"6*x+2*ln(10*x)*exp(x)+x/ln(x)^2+2*ln(10*x)*x","A"
1130,1,48,19,0.175000," ","int(((x*ln(5/2)+5*x^2-10*x)*ln(1/25*x*ln(5/2)^2+1/25*(10*x^2-20*x)*ln(5/2)+x^3-4*x^2+4*x)+((4+x)*ln(5/2)+15*x^2+50*x-40)*ln(4+x))/((x^2+4*x)*ln(5/2)+5*x^3+10*x^2-40*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(4+x \right) \ln \left(x \ln \left(\frac{5}{2}\right)^{2}+10 x^{2} \ln \left(\frac{5}{2}\right)-20 x \ln \left(\frac{5}{2}\right)+25 x^{3}-100 x^{2}+100 x \right)-2 \ln \left(4+x \right) \ln \left(5\right)$&$48$\\ risch&$2 \ln \left(4+x \right) \ln \left(\ln \left(5\right)-\ln \left(2\right)+5 x -10\right)+\ln \left(x \right) \ln \left(4+x \right)-\frac{i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\ln \left(\frac{5}{2}\right)+5 x -10\right)^{2}\right) \mathrm{csgn}\left(i x \left(\ln \left(\frac{5}{2}\right)+5 x -10\right)^{2}\right)}{2}+\frac{i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\ln \left(\frac{5}{2}\right)+5 x -10\right)^{2}\right)^{2}}{2}-\frac{i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i \left(\ln \left(\frac{5}{2}\right)+5 x -10\right)\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(\frac{5}{2}\right)+5 x -10\right)^{2}\right)}{2}+i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i \left(\ln \left(\frac{5}{2}\right)+5 x -10\right)\right) \mathrm{csgn}\left(i \left(\ln \left(\frac{5}{2}\right)+5 x -10\right)^{2}\right)^{2}-\frac{i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i \left(\ln \left(\frac{5}{2}\right)+5 x -10\right)^{2}\right)^{3}}{2}+\frac{i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i \left(\ln \left(\frac{5}{2}\right)+5 x -10\right)^{2}\right) \mathrm{csgn}\left(i x \left(\ln \left(\frac{5}{2}\right)+5 x -10\right)^{2}\right)^{2}}{2}-\frac{i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i x \left(\ln \left(\frac{5}{2}\right)+5 x -10\right)^{2}\right)^{3}}{2}-2 \ln \left(4+x \right) \ln \left(5\right)$&$256$\\ \hline \end{longtable}"," ",0,"ln(4+x)*ln(x*ln(5/2)^2+10*x^2*ln(5/2)-20*x*ln(5/2)+25*x^3-100*x^2+100*x)-2*ln(4+x)*ln(5)","B"
1131,1,18,24,0.036000," ","int((-2*x-2)*exp(x)*ln(x)+(4*x+8)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \,{\mathrm e}^{x} x +6 \,{\mathrm e}^{x}-2 x \,{\mathrm e}^{x} \ln \left(x \right)$&$18$\\ norman&$4 \,{\mathrm e}^{x} x +6 \,{\mathrm e}^{x}-2 x \,{\mathrm e}^{x} \ln \left(x \right)$&$18$\\ risch&$4 \,{\mathrm e}^{x} x +6 \,{\mathrm e}^{x}-2 x \,{\mathrm e}^{x} \ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"4*exp(x)*x+6*exp(x)-2*x*exp(x)*ln(x)","A"
1132,1,15,15,0.017000," ","int((2*ln(x)*exp(ln(x)^2)-10*x^2-2*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x +{\mathrm e}^{\ln \left(x \right)^{2}}-5 x^{2}$&$15$\\ norman&$-2 x +{\mathrm e}^{\ln \left(x \right)^{2}}-5 x^{2}$&$15$\\ risch&$-2 x +{\mathrm e}^{\ln \left(x \right)^{2}}-5 x^{2}$&$15$\\ \hline \end{longtable}"," ",0,"-2*x+exp(ln(x)^2)-5*x^2","A"
1133,1,71,25,0.040000," ","int(((((2*x-2)*exp(x)-2*x^2+2*x)*ln(x)+(-2*x^2+2*x)*exp(x)+2*x^3-2*x^2)*ln(x-exp(x))^2+((-2*exp(x)*x+2*x)*ln(x)^2+((4*x^2+18*x-20)*exp(x)-22*x^2+20*x)*ln(x)+(-2*x^3-16*x^2+18*x)*exp(x)+18*x^3-18*x^2)*ln(x-exp(x))+(-10*exp(x)*x+10*x)*ln(x)^2+((18*x^2+40*x-50)*exp(x)-58*x^2+50*x)*ln(x)+(-8*x^3-32*x^2+41*x)*exp(x)+40*x^3-41*x^2)/(exp(x)*x-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x^{2}+2 x \ln \left(x \right)-\ln \left(x \right)^{2}\right) \ln \left(x -{\mathrm e}^{x}\right)^{2}+\left(-8 x^{2}+18 x \ln \left(x \right)-10 \ln \left(x \right)^{2}\right) \ln \left(x -{\mathrm e}^{x}\right)-16 x^{2}+40 x \ln \left(x \right)-25 \ln \left(x \right)^{2}+x$&$71$\\ \hline \end{longtable}"," ",0,"(-x^2+2*x*ln(x)-ln(x)^2)*ln(x-exp(x))^2+(-8*x^2+18*x*ln(x)-10*ln(x)^2)*ln(x-exp(x))-16*x^2+40*x*ln(x)-25*ln(x)^2+x","B"
1134,1,12,13,0.021000," ","int((297*ln(2*x)+exp(3)+297)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +297 \,{\mathrm e}^{-3} x \ln \left(2 x \right)$&$12$\\ norman&$x +297 \,{\mathrm e}^{-3} x \ln \left(2 x \right)$&$14$\\ default&${\mathrm e}^{-3} \left(297 x \ln \left(2 x \right)+x \,{\mathrm e}^{3}\right)$&$18$\\ derivativedivides&$\frac{{\mathrm e}^{-3} \left(594 x \ln \left(2 x \right)+2 x \,{\mathrm e}^{3}\right)}{2}$&$20$\\ \hline \end{longtable}"," ",0,"x+297*exp(-3)*x*ln(2*x)","A"
1135,1,17,16,0.026000," ","int(64*ln(-4*ln(2)+1+exp(1))^2/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$64 \ln \left(\ln \left(x \right)\right) \ln \left(-4 \ln \left(2\right)+1+{\mathrm e}\right)^{2}$&$17$\\ default&$64 \ln \left(\ln \left(x \right)\right) \ln \left(-4 \ln \left(2\right)+1+{\mathrm e}\right)^{2}$&$17$\\ norman&$64 \ln \left(\ln \left(x \right)\right) \ln \left(-4 \ln \left(2\right)+1+{\mathrm e}\right)^{2}$&$17$\\ risch&$64 \ln \left(\ln \left(x \right)\right) \ln \left(-4 \ln \left(2\right)+1+{\mathrm e}\right)^{2}$&$17$\\ \hline \end{longtable}"," ",0,"64*ln(ln(x))*ln(-4*ln(2)+1+exp(1))^2","A"
1136,1,31,24,0.240000," ","int(1/192*(ln(2*x)*ln(5/2/ln(2)/ln(2*x))-2*x*ln(2*x)-1)/exp(6)/ln(2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{{\mathrm e}^{-6} x^{2}}{192}+\frac{x \,{\mathrm e}^{-6} \ln \left(\frac{5}{2 \ln \left(2\right) \ln \left(2 x \right)}\right)}{192}$&$31$\\ risch&$-\frac{{\mathrm e}^{-6} x \ln \left(\ln \left(2 x \right)\right)}{192}+\frac{{\mathrm e}^{-6} x \ln \left(5\right)}{192}-\frac{{\mathrm e}^{-6} x \ln \left(2\right)}{192}-\frac{{\mathrm e}^{-6} x \ln \left(\ln \left(2\right)\right)}{192}-\frac{{\mathrm e}^{-6} x^{2}}{192}$&$41$\\ \hline \end{longtable}"," ",0,"-1/192/exp(6)*x^2+1/192*x/exp(6)*ln(5/2/ln(2)/ln(2*x))","A"
1137,1,17,19,0.050000," ","int((((9*x-18)*exp(4)*ln(x-2)*ln(ln(x-2))+(-100*x+200)*exp(4)*ln(x-2))*ln(ln(ln(x-2))-100/9)-9*x*exp(4))*exp((-ln(ln(ln(x-2))-100/9)+5*x)/x)/((9*x^3-18*x^2)*ln(x-2)*ln(ln(x-2))+(-100*x^3+200*x^2)*ln(x-2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\ln \left(\ln \left(x -2\right)\right)-\frac{100}{9}\right)^{-\frac{1}{x}} {\mathrm e}^{9}$&$17$\\ \hline \end{longtable}"," ",0,"(ln(ln(x-2))-100/9)^(-1/x)*exp(9)","A"
1138,1,17,27,0.046000," ","int((3*exp(x)*exp(2*x)*exp(exp(x)*exp(2*x))+(24*x-24)*exp(5))/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-5+{\mathrm e}^{3 x}}-24 x +12 x^{2}$&$17$\\ norman&${\mathrm e}^{-5} {\mathrm e}^{{\mathrm e}^{3 x}}-24 x +12 x^{2}$&$20$\\ default&${\mathrm e}^{-5} \left({\mathrm e}^{5} \left(12 x^{2}-24 x \right)+{\mathrm e}^{{\mathrm e}^{x} {\mathrm e}^{2 x}}\right)$&$27$\\ \hline \end{longtable}"," ",0,"exp(-5+exp(3*x))-24*x+12*x^2","A"
1139,1,15,16,0.220000," ","int((3*ln(4*x^2)+x+6)/(5*x^2+60*x+180),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \ln \left(4 x^{2}\right)}{10 x +60}$&$15$\\ risch&$-\frac{3 \ln \left(4 x^{2}\right)}{5 \left(x +6\right)}+\frac{\ln \left(x \right)}{5}$&$19$\\ default&$-\frac{6 \ln \left(2\right)}{5 \left(x +6\right)}+\frac{x \ln \left(x^{2}\right)}{10 x +60}$&$23$\\ \hline \end{longtable}"," ",0,"1/10*x*ln(4*x^2)/(x+6)","A"
1140,1,23,28,0.200000," ","int(((2-x)*ln(2-x)+2*(2-x)*ln(2)+2*x^2+4*x-18)*exp(-x*ln(2-x)-2*x*ln(2)+x^2+9*x+4)/(x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(2-x \right)^{-x} \left(\frac{1}{4}\right)^{x} {\mathrm e}^{x^{2}+9 x +4}$&$23$\\ norman&${\mathrm e}^{-x \ln \left(2-x \right)-2 x \ln \left(2\right)+x^{2}+9 x +4}$&$24$\\ \hline \end{longtable}"," ",0,"(2-x)^(-x)*(1/4)^x*exp(x^2+9*x+4)","A"
1141,0,0,28,0.033000," ","int((40*x*ln(x)^2+(-10*exp(x)*x-20*x^2+2*x)*ln(x)+10*exp(x)+10*x^2-2*x+120)*ln(1/20*((20*x+120)*ln(x)-5*exp(x)-5*x^2+x-60)/ln(x))/((20*x^2+120*x)*ln(x)^2+(-5*exp(x)*x-5*x^3+x^2-60*x)*ln(x)),x)","\[\int \frac{\left(40 x \ln \left(x \right)^{2}+\left(-10 \,{\mathrm e}^{x} x -20 x^{2}+2 x \right) \ln \left(x \right)+10 \,{\mathrm e}^{x}+10 x^{2}-2 x +120\right) \ln \left(\frac{\left(20 x +120\right) \ln \left(x \right)-5 \,{\mathrm e}^{x}-5 x^{2}+x -60}{20 \ln \left(x \right)}\right)}{\left(20 x^{2}+120 x \right) \ln \left(x \right)^{2}+\left(-5 \,{\mathrm e}^{x} x -5 x^{3}+x^{2}-60 x \right) \ln \left(x \right)}\, dx\]"," ",0,"int((40*x*ln(x)^2+(-10*exp(x)*x-20*x^2+2*x)*ln(x)+10*exp(x)+10*x^2-2*x+120)*ln(1/20*((20*x+120)*ln(x)-5*exp(x)-5*x^2+x-60)/ln(x))/((20*x^2+120*x)*ln(x)^2+(-5*exp(x)*x-5*x^3+x^2-60*x)*ln(x)),x)","F"
1142,-1,0,30,180.000000," ","int((((-3*x^2-18*x-27)*exp(2)^2+(30*x^3+330*x^2+1170*x+1350)*exp(2)-75*x^4-1200*x^3-7050*x^2-18000*x-16875)*ln(x)+(12*x^2+54*x+81)*exp(2)^2+(-120*x^3-1106*x^2-3510*x-4050)*exp(2)+225*x^4+3560*x^3+20990*x^2+54000*x+50625)/((3*x^4+18*x^3+27*x^2)*exp(2)^2+(-30*x^5-330*x^4-1170*x^3-1350*x^2)*exp(2)+75*x^6+1200*x^5+7050*x^4+18000*x^3+16875*x^2),x)","\text{hanged}"," ",0,"int((((-3*x^2-18*x-27)*exp(2)^2+(30*x^3+330*x^2+1170*x+1350)*exp(2)-75*x^4-1200*x^3-7050*x^2-18000*x-16875)*ln(x)+(12*x^2+54*x+81)*exp(2)^2+(-120*x^3-1106*x^2-3510*x-4050)*exp(2)+225*x^4+3560*x^3+20990*x^2+54000*x+50625)/((3*x^4+18*x^3+27*x^2)*exp(2)^2+(-30*x^5-330*x^4-1170*x^3-1350*x^2)*exp(2)+75*x^6+1200*x^5+7050*x^4+18000*x^3+16875*x^2),x)","F"
1143,1,25,17,0.099000," ","int(((-5*x^2+1)*exp(5)-10*x^2+2)/(20*x^3-8*x^2+4*x)/ln((5*x^2-2*x+1)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{{\mathrm e}^{5}}{4}+\frac{1}{2}}{\ln \left(\frac{5 x^{2}-2 x +1}{x}\right)}$&$25$\\ risch&$\frac{{\mathrm e}^{5}}{4 \ln \left(\frac{5 x^{2}-2 x +1}{x}\right)}+\frac{1}{2 \ln \left(\frac{5 x^{2}-2 x +1}{x}\right)}$&$42$\\ \hline \end{longtable}"," ",0,"(1/4*exp(5)+1/2)/ln((5*x^2-2*x+1)/x)","A"
1144,1,16,15,0.237000," ","int(-1/((exp(4)-1)*exp(exp(2))-x*exp(4)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left({\mathrm e}^{{\mathrm e}^{2}}-x \right)}{{\mathrm e}^{4}-1}$&$16$\\ risch&$\frac{\ln \left(-{\mathrm e}^{{\mathrm e}^{2}}+x \right)}{{\mathrm e}^{4}-1}$&$16$\\ meijerg&$\frac{\ln \left(1-x \,{\mathrm e}^{-{\mathrm e}^{2}}\right)}{{\mathrm e}^{4}-1}$&$19$\\ default&$-\frac{\ln \left(\left(1-{\mathrm e}^{4}\right) x +\left({\mathrm e}^{4}-1\right) {\mathrm e}^{{\mathrm e}^{2}}\right)}{1-{\mathrm e}^{4}}$&$29$\\ \hline \end{longtable}"," ",0,"ln(exp(exp(2))-x)/(exp(4)-1)","A"
1145,1,28,16,0.035000," ","int(2*(2*x*exp(1)^2+(3*x^2-4*x)*exp(1))*ln(5)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(5\right) \left(x^{2} {\mathrm e}^{2}+{\mathrm e} \left(x^{3}-2 x^{2}\right)\right)+x$&$28$\\ gosper&$x \left(2 x \,{\mathrm e}^{2} \ln \left(5\right)+2 \,{\mathrm e} \ln \left(5\right) x^{2}-4 x \,{\mathrm e} \ln \left(5\right)+1\right)$&$30$\\ norman&$2 \,{\mathrm e} \ln \left(5\right) x^{3}+\left(2 \,{\mathrm e}^{2} \ln \left(5\right)-4 \,{\mathrm e} \ln \left(5\right)\right) x^{2}+x$&$31$\\ risch&$2 \,{\mathrm e}^{2} \ln \left(5\right) x^{2}+2 \,{\mathrm e} \ln \left(5\right) x^{3}-4 \,{\mathrm e} \ln \left(5\right) x^{2}+x$&$32$\\ \hline \end{longtable}"," ",0,"2*ln(5)*(x^2*exp(1)^2+exp(1)*(x^3-2*x^2))+x","A"
1146,1,25,22,0.075000," ","int((-x^2*exp(x)^4-8*x^2*exp(x)^3+(-24*x^2-4)*exp(x)^2+(-32*x^2+16*x-16)*exp(x)-16*x^2+32*x-32)/(x^2*exp(x)^4+8*x^2*exp(x)^3+(24*x^2-8*x)*exp(x)^2+(32*x^2-32*x)*exp(x)+16*x^2-32*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{4}{x \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x} x +4 x -4}$&$25$\\ norman&$\frac{8 x +x \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x} x -4 x^{2}-4 \,{\mathrm e}^{x} x^{2}-{\mathrm e}^{2 x} x^{2}}{x \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x} x +4 x -4}$&$56$\\ \hline \end{longtable}"," ",0,"-x+4/(x*exp(2*x)+4*exp(x)*x+4*x-4)","A"
1147,1,233,27,0.074000," ","int(((exp(x)+2*x+1)*ln(x)^2+2*x*ln(x)-x)*(((exp(x)^2+(2*x^2+2*x+2)*exp(x)+x^4+2*x^3+3*x^2+2*x+1)*ln(x)^2+(2*exp(x)*x^2+2*x^4+2*x^3+2*x^2)*ln(x)+x^4)/ln(x)^2)^(1/2)/((exp(x)+x^2+x+1)*ln(x)^2+x^2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\sqrt{\frac{\left(x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)+x \ln \left(x \right)+x^{2}+\ln \left(x \right)\right)^{2}}{\ln \left(x \right)^{2}}}\, \ln \left(x \right) x^{2}}{x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)+x \ln \left(x \right)+x^{2}+\ln \left(x \right)}+\frac{\sqrt{\frac{\left(x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)+x \ln \left(x \right)+x^{2}+\ln \left(x \right)\right)^{2}}{\ln \left(x \right)^{2}}}\, \ln \left(x \right) x}{x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)+x \ln \left(x \right)+x^{2}+\ln \left(x \right)}+\frac{\sqrt{\frac{\left(x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)+x \ln \left(x \right)+x^{2}+\ln \left(x \right)\right)^{2}}{\ln \left(x \right)^{2}}}\, \ln \left(x \right) {\mathrm e}^{x}}{x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)+x \ln \left(x \right)+x^{2}+\ln \left(x \right)}+\frac{\sqrt{\frac{\left(x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)+x \ln \left(x \right)+x^{2}+\ln \left(x \right)\right)^{2}}{\ln \left(x \right)^{2}}}\, x^{2}}{x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)+x \ln \left(x \right)+x^{2}+\ln \left(x \right)}$&$233$\\ \hline \end{longtable}"," ",0,"((x^2*ln(x)+exp(x)*ln(x)+x*ln(x)+x^2+ln(x))^2/ln(x)^2)^(1/2)/(x^2*ln(x)+exp(x)*ln(x)+x*ln(x)+x^2+ln(x))*ln(x)*x^2+((x^2*ln(x)+exp(x)*ln(x)+x*ln(x)+x^2+ln(x))^2/ln(x)^2)^(1/2)/(x^2*ln(x)+exp(x)*ln(x)+x*ln(x)+x^2+ln(x))*ln(x)*x+((x^2*ln(x)+exp(x)*ln(x)+x*ln(x)+x^2+ln(x))^2/ln(x)^2)^(1/2)/(x^2*ln(x)+exp(x)*ln(x)+x*ln(x)+x^2+ln(x))*ln(x)*exp(x)+((x^2*ln(x)+exp(x)*ln(x)+x*ln(x)+x^2+ln(x))^2/ln(x)^2)^(1/2)/(x^2*ln(x)+exp(x)*ln(x)+x*ln(x)+x^2+ln(x))*x^2","B"
1148,1,40,30,0.258000," ","int(((-16*x^4-32*x^3)*ln(2)^3+(8*x^3-4*x)*ln(2)^2)/((64*x^9+768*x^8+3840*x^7+10240*x^6+15360*x^5+12288*x^4+4096*x^3)*ln(2)^3+(-192*x^8-1584*x^7-5088*x^6-8064*x^5-6912*x^4-3840*x^3-1536*x^2)*ln(2)^2+(192*x^7+864*x^6+1356*x^5+1248*x^4+1056*x^3+384*x^2+192*x)*ln(2)-64*x^6-48*x^5-108*x^4-49*x^3-54*x^2-12*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(2\right)^{2} x^{2}}{\left(4 x^{3} \ln \left(2\right)+16 x^{2} \ln \left(2\right)+16 x \ln \left(2\right)-4 x^{2}-x -2\right)^{2}}$&$40$\\ norman&$\frac{\ln \left(2\right)^{2} x^{2}}{\left(4 x^{3} \ln \left(2\right)+16 x^{2} \ln \left(2\right)+16 x \ln \left(2\right)-4 x^{2}-x -2\right)^{2}}$&$40$\\ risch&$\frac{\ln \left(2\right)^{2} x^{2}}{16 x^{6} \ln \left(2\right)^{2}+128 x^{5} \ln \left(2\right)^{2}+384 x^{4} \ln \left(2\right)^{2}-32 x^{5} \ln \left(2\right)+512 x^{3} \ln \left(2\right)^{2}-136 x^{4} \ln \left(2\right)+256 x^{2} \ln \left(2\right)^{2}-176 x^{3} \ln \left(2\right)+16 x^{4}-96 x^{2} \ln \left(2\right)+8 x^{3}-64 x \ln \left(2\right)+17 x^{2}+4 x +4}$&$107$\\ gosper&$\frac{\ln \left(2\right)^{2} x^{2}}{16 x^{6} \ln \left(2\right)^{2}+128 x^{5} \ln \left(2\right)^{2}+384 x^{4} \ln \left(2\right)^{2}-32 x^{5} \ln \left(2\right)+512 x^{3} \ln \left(2\right)^{2}-136 x^{4} \ln \left(2\right)+256 x^{2} \ln \left(2\right)^{2}-176 x^{3} \ln \left(2\right)+16 x^{4}-96 x^{2} \ln \left(2\right)+8 x^{3}-64 x \ln \left(2\right)+17 x^{2}+4 x +4}$&$109$\\ \hline \end{longtable}"," ",0,"ln(2)^2*x^2/(4*x^3*ln(2)+16*x^2*ln(2)+16*x*ln(2)-4*x^2-x-2)^2","A"
1149,1,46,23,0.080000," ","int(((-2*x^3+11*x^2-6*x-27)*ln(3*exp(1))+(6*x^5-18*x^4)*exp(x)^2-2*x^4+12*x^3-12*x^2-18*x)/exp(x)^2/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x^{2}-18 x +\frac{\left(x^{2} \ln \left(3\right)+x^{3}-6 x \ln \left(3\right)-5 x^{2}+9 \ln \left(3\right)+3 x +9\right) {\mathrm e}^{-2 x}}{x^{3}}$&$46$\\ norman&$\frac{\left(x^{3}+\left(3-6 \ln \left(3\right)\right) x +\left(\ln \left(3\right)-5\right) x^{2}+3 x^{5} {\mathrm e}^{2 x}-18 \,{\mathrm e}^{2 x} x^{4}+9 \ln \left(3\right)+9\right) {\mathrm e}^{-2 x}}{x^{3}}$&$52$\\ default&$3 x^{2}-18 x +{\mathrm e}^{-2 x}+\frac{9 \,{\mathrm e}^{-2 x}}{x^{3}}+\frac{3 \,{\mathrm e}^{-2 x}}{x^{2}}-\frac{5 \,{\mathrm e}^{-2 x}}{x}+\frac{9 \,{\mathrm e}^{-2 x} \ln \left(3\right)}{x^{3}}-\frac{6 \,{\mathrm e}^{-2 x} \ln \left(3\right)}{x^{2}}+\frac{{\mathrm e}^{-2 x} \ln \left(3\right)}{x}$&$73$\\ \hline \end{longtable}"," ",0,"3*x^2-18*x+(x^2*ln(3)+x^3-6*x*ln(3)-5*x^2+9*ln(3)+3*x+9)/x^3*exp(-2*x)","A"
1150,1,72,27,0.342000," ","int(((2*x^8+31*x^7+179*x^6+448*x^5+400*x^4)*exp(x)^2+(24*x^6+408*x^5+2592*x^4+7200*x^3+7200*x^2)*exp(x)+144*x^3+2160*x^2+10800*x+18000)*exp(((x^7+8*x^6+16*x^5)*exp(x)^2+(24*x^5+216*x^4+480*x^3)*exp(x)+144*x^3+1476*x^2+3960*x+900)/(9*x^2+90*x+225))*exp(exp(((x^7+8*x^6+16*x^5)*exp(x)^2+(24*x^5+216*x^4+480*x^3)*exp(x)+144*x^3+1476*x^2+3960*x+900)/(9*x^2+90*x+225)))/(9*x^3+135*x^2+675*x+1125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{2 x} x^{7}+8 \,{\mathrm e}^{2 x} x^{6}+16 x^{5} {\mathrm e}^{2 x}+24 x^{5} {\mathrm e}^{x}+216 \,{\mathrm e}^{x} x^{4}+480 \,{\mathrm e}^{x} x^{3}+144 x^{3}+1476 x^{2}+3960 x +900}{9 \left(5+x \right)^{2}}}}$&$72$\\ \hline \end{longtable}"," ",0,"exp(exp(1/9*(exp(2*x)*x^7+8*exp(2*x)*x^6+16*x^5*exp(2*x)+24*x^5*exp(x)+216*exp(x)*x^4+480*exp(x)*x^3+144*x^3+1476*x^2+3960*x+900)/(5+x)^2))","B"
1151,1,26,26,0.246000," ","int((((2*x^2-2*x)*ln((-2*x+2)/x)-2*ln(2)+2*x)*exp((x-ln(2))*ln((-2*x+2)/x)+1)^2+2*x^2-2*x)/(x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\left(\frac{-2 x +2}{x}\right)^{-2 \ln \left(2\right)+2 x} {\mathrm e}^{2}$&$26$\\ default&$2 x +{\mathrm e}^{\left(-2 \ln \left(2\right)+2 x \right) \ln \left(\frac{-2 x +2}{x}\right)+2}$&$27$\\ norman&$2 x +{\mathrm e}^{\left(-2 \ln \left(2\right)+2 x \right) \ln \left(\frac{-2 x +2}{x}\right)+2}$&$27$\\ \hline \end{longtable}"," ",0,"2*x+(((-2*x+2)/x)^(x-ln(2)))^2*exp(2)","A"
1152,1,25,20,0.261000," ","int(((-4*x^3*exp(5)^2+3*x^2*exp(5))*ln(3*x/exp(1))-2*x^3*exp(5)^2+x^2*exp(5))/(4*x^2*exp(5)^2-4*x*exp(5)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x^{3} {\mathrm e}^{5} \ln \left(3 \,{\mathrm e}^{-1} x \right)}{2 x \,{\mathrm e}^{5}-1}$&$25$\\ risch&$-\frac{\left(8 \,{\mathrm e}^{15} x^{3}-2 x \,{\mathrm e}^{5}+1\right) {\mathrm e}^{-10} \ln \left(3 \,{\mathrm e}^{-1} x \right)}{8 \left(2 x \,{\mathrm e}^{5}-1\right)}-\frac{{\mathrm e}^{-10} \ln \left(x \right)}{8}$&$41$\\ derivativedivides&$\frac{{\mathrm e} \left(-\frac{9 \,{\mathrm e}^{5} x^{2}}{4 \,{\mathrm e}^{6}}-\frac{9 \,{\mathrm e} \,{\mathrm e}^{5} x}{4 \left({\mathrm e}^{6}\right)^{2}}-\frac{9 \left({\mathrm e}\right)^{2} {\mathrm e}^{5} {\mathrm e}^{-12} \ln \left(\frac{6 x \,{\mathrm e}^{6}}{{\mathrm e}}-3\right)}{8 \,{\mathrm e}^{6}}-\frac{9 \,{\mathrm e}^{5} {\mathrm e}^{6} x^{2} \ln \left(\frac{3 x}{{\mathrm e}}\right)}{2 \,{\mathrm e}^{12}}+\frac{9 \,{\mathrm e}^{5} {\mathrm e}^{6} x^{2}}{4 \,{\mathrm e}^{12}}-\frac{9 \,{\mathrm e} \,{\mathrm e}^{5} \left({\mathrm e}^{6}\right)^{2} \ln \left(\frac{3 x}{{\mathrm e}}\right) x}{\left({\mathrm e}^{12}\right)^{2}}+\frac{9 \,{\mathrm e} \,{\mathrm e}^{5} \left({\mathrm e}^{6}\right)^{2} x}{\left({\mathrm e}^{12}\right)^{2}}+\frac{27 \,{\mathrm e} \,{\mathrm e}^{5} \ln \left(\frac{3 x}{{\mathrm e}}\right) x}{4 \,{\mathrm e}^{12}}-\frac{27 \,{\mathrm e} \,{\mathrm e}^{5} x}{4 \,{\mathrm e}^{12}}+\frac{9 \left({\mathrm e}\right)^{2} {\mathrm e}^{5} {\mathrm e}^{-12} \ln \left(\frac{3 x}{{\mathrm e}}\right) \ln \left(\frac{-\frac{6 x \,{\mathrm e}^{12}}{{\mathrm e}}+3 \,{\mathrm e}^{6}+3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}{3 \,{\mathrm e}^{6}+3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}\right)}{16 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}-\frac{9 \left({\mathrm e}\right)^{2} {\mathrm e}^{5} {\mathrm e}^{-12} \ln \left(\frac{3 x}{{\mathrm e}}\right) \ln \left(\frac{-\frac{6 x \,{\mathrm e}^{12}}{{\mathrm e}}+3 \,{\mathrm e}^{6}-3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}{3 \,{\mathrm e}^{6}-3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}\right)}{16 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}+\frac{9 \left({\mathrm e}\right)^{2} {\mathrm e}^{5} {\mathrm e}^{-12} \dilog \left(\frac{-\frac{6 x \,{\mathrm e}^{12}}{{\mathrm e}}+3 \,{\mathrm e}^{6}+3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}{3 \,{\mathrm e}^{6}+3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}\right)}{16 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}-\frac{9 \left({\mathrm e}\right)^{2} {\mathrm e}^{5} {\mathrm e}^{-12} \dilog \left(\frac{-\frac{6 x \,{\mathrm e}^{12}}{{\mathrm e}}+3 \,{\mathrm e}^{6}-3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}{3 \,{\mathrm e}^{6}-3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}\right)}{16 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}\right)}{9}$&$444$\\ default&$\frac{{\mathrm e} \left(-\frac{9 \,{\mathrm e}^{5} x^{2}}{4 \,{\mathrm e}^{6}}-\frac{9 \,{\mathrm e} \,{\mathrm e}^{5} x}{4 \left({\mathrm e}^{6}\right)^{2}}-\frac{9 \left({\mathrm e}\right)^{2} {\mathrm e}^{5} {\mathrm e}^{-12} \ln \left(\frac{6 x \,{\mathrm e}^{6}}{{\mathrm e}}-3\right)}{8 \,{\mathrm e}^{6}}-\frac{9 \,{\mathrm e}^{5} {\mathrm e}^{6} x^{2} \ln \left(\frac{3 x}{{\mathrm e}}\right)}{2 \,{\mathrm e}^{12}}+\frac{9 \,{\mathrm e}^{5} {\mathrm e}^{6} x^{2}}{4 \,{\mathrm e}^{12}}-\frac{9 \,{\mathrm e} \,{\mathrm e}^{5} \left({\mathrm e}^{6}\right)^{2} \ln \left(\frac{3 x}{{\mathrm e}}\right) x}{\left({\mathrm e}^{12}\right)^{2}}+\frac{9 \,{\mathrm e} \,{\mathrm e}^{5} \left({\mathrm e}^{6}\right)^{2} x}{\left({\mathrm e}^{12}\right)^{2}}+\frac{27 \,{\mathrm e} \,{\mathrm e}^{5} \ln \left(\frac{3 x}{{\mathrm e}}\right) x}{4 \,{\mathrm e}^{12}}-\frac{27 \,{\mathrm e} \,{\mathrm e}^{5} x}{4 \,{\mathrm e}^{12}}+\frac{9 \left({\mathrm e}\right)^{2} {\mathrm e}^{5} {\mathrm e}^{-12} \ln \left(\frac{3 x}{{\mathrm e}}\right) \ln \left(\frac{-\frac{6 x \,{\mathrm e}^{12}}{{\mathrm e}}+3 \,{\mathrm e}^{6}+3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}{3 \,{\mathrm e}^{6}+3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}\right)}{16 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}-\frac{9 \left({\mathrm e}\right)^{2} {\mathrm e}^{5} {\mathrm e}^{-12} \ln \left(\frac{3 x}{{\mathrm e}}\right) \ln \left(\frac{-\frac{6 x \,{\mathrm e}^{12}}{{\mathrm e}}+3 \,{\mathrm e}^{6}-3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}{3 \,{\mathrm e}^{6}-3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}\right)}{16 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}+\frac{9 \left({\mathrm e}\right)^{2} {\mathrm e}^{5} {\mathrm e}^{-12} \dilog \left(\frac{-\frac{6 x \,{\mathrm e}^{12}}{{\mathrm e}}+3 \,{\mathrm e}^{6}+3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}{3 \,{\mathrm e}^{6}+3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}\right)}{16 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}-\frac{9 \left({\mathrm e}\right)^{2} {\mathrm e}^{5} {\mathrm e}^{-12} \dilog \left(\frac{-\frac{6 x \,{\mathrm e}^{12}}{{\mathrm e}}+3 \,{\mathrm e}^{6}-3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}{3 \,{\mathrm e}^{6}-3 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}\right)}{16 \sqrt{\left({\mathrm e}^{6}\right)^{2}-{\mathrm e}^{12}}}\right)}{9}$&$444$\\ \hline \end{longtable}"," ",0,"-x^3*exp(5)*ln(3*x/exp(1))/(2*x*exp(5)-1)","A"
1153,1,26,17,0.222000," ","int(((-x^2+4*x-22)*exp(4)-2*x^3+9*x^2-12*x-176)/(x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+x -x \,{\mathrm e}^{4}-\frac{-180-18 \,{\mathrm e}^{4}}{x -2}$&$26$\\ gosper&$-\frac{x^{2} {\mathrm e}^{4}+x^{3}-3 x^{2}-22 \,{\mathrm e}^{4}-176}{x -2}$&$28$\\ norman&$\frac{\left(3-{\mathrm e}^{4}\right) x^{2}-x^{3}+176+22 \,{\mathrm e}^{4}}{x -2}$&$28$\\ risch&$-x \,{\mathrm e}^{4}-x^{2}+x +\frac{18 \,{\mathrm e}^{4}}{x -2}+\frac{180}{x -2}$&$29$\\ meijerg&$-\frac{44 x}{1-\frac{x}{2}}-2 \left(-{\mathrm e}^{4}+9\right) \left(-\frac{x \left(-\frac{3 x}{2}+6\right)}{6 \left(1-\frac{x}{2}\right)}-2 \ln \left(1-\frac{x}{2}\right)\right)-2 \left(-2 \,{\mathrm e}^{4}+6\right) \left(\frac{x}{2-x}+\ln \left(1-\frac{x}{2}\right)\right)-\frac{x \left(-\frac{1}{2} x^{2}-3 x +12\right)}{1-\frac{x}{2}}-24 \ln \left(1-\frac{x}{2}\right)-\frac{11 \,{\mathrm e}^{4} x}{2 \left(1-\frac{x}{2}\right)}$&$109$\\ \hline \end{longtable}"," ",0,"-x^2+x-x*exp(4)-(-180-18*exp(4))/(x-2)","A"
1154,0,0,23,0.611000," ","int((((5*x^2+20*x)*ln(2)*exp(x)-5*x*ln(2))*exp(exp(x))+(-5*x^3-45*x^2-120*x-80)*ln(2))*exp(ln(3/exp(exp(exp(x))/(4+x)))+x)/(x^2+8*x+16),x)","\[\int \frac{\left(\left(\left(5 x^{2}+20 x \right) \ln \left(2\right) {\mathrm e}^{x}-5 x \ln \left(2\right)\right) {\mathrm e}^{{\mathrm e}^{x}}+\left(-5 x^{3}-45 x^{2}-120 x -80\right) \ln \left(2\right)\right) {\mathrm e}^{\ln \left(3 \,{\mathrm e}^{-\frac{{\mathrm e}^{{\mathrm e}^{x}}}{4+x}}\right)+x}}{x^{2}+8 x +16}\, dx\]"," ",0,"int((((5*x^2+20*x)*ln(2)*exp(x)-5*x*ln(2))*exp(exp(x))+(-5*x^3-45*x^2-120*x-80)*ln(2))*exp(ln(3/exp(exp(exp(x))/(4+x)))+x)/(x^2+8*x+16),x)","F"
1155,1,40,20,0.202000," ","int(((9*x-18)*exp(1/3*x)*ln(2-x)^2+(-6*x^4-42*x^3+108*x^2+54)*exp(1/3*x)*ln(2-x)+(x^7+16*x^6-36*x^5-18*x^3)*exp(1/3*x))/(135*x-270),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{x}{3}} \ln \left(2-x \right)^{2}}{5}-\frac{2 x^{3} {\mathrm e}^{\frac{x}{3}} \ln \left(2-x \right)}{15}+\frac{x^{6} {\mathrm e}^{\frac{x}{3}}}{45}$&$40$\\ \hline \end{longtable}"," ",0,"1/5*exp(1/3*x)*ln(2-x)^2-2/15*x^3*exp(1/3*x)*ln(2-x)+1/45*x^6*exp(1/3*x)","A"
1156,1,68,29,0.487000," ","int(((3*x^3*exp(2)^2*ln(2)^2+(-12*x^4-2*x^3)*exp(2)^2*ln(2)+(9*x^5+2*x^4)*exp(2)^2)*exp(x)^2+((30*x^3+10*x^2+10*x)*exp(2)^2*ln(2)+(-30*x^4+20*x^3)*exp(2)^2)*exp(x)+(-150*x^2-125*x-50)*exp(2)^2)*exp((((3*x^3+x^2)*exp(2)^2*ln(2)^2+(-6*x^4-2*x^3)*exp(2)^2*ln(2)+(3*x^5+x^4)*exp(2)^2)*exp(x)^2+((-30*x^2-10*x)*exp(2)^2*ln(2)+(30*x^3+10*x^2)*exp(2)^2)*exp(x)+(75*x+25)*exp(2)^2)/exp(x)^2/x^2)*exp(exp((((3*x^3+x^2)*exp(2)^2*ln(2)^2+(-6*x^4-2*x^3)*exp(2)^2*ln(2)+(3*x^5+x^4)*exp(2)^2)*exp(x)^2+((-30*x^2-10*x)*exp(2)^2*ln(2)+(30*x^3+10*x^2)*exp(2)^2)*exp(x)+(75*x+25)*exp(2)^2)/exp(x)^2/x^2))/exp(x)^2/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{-\frac{\left(-\ln \left(2\right)^{2} {\mathrm e}^{2 x} x^{2}+2 \ln \left(2\right) {\mathrm e}^{2 x} x^{3}-{\mathrm e}^{2 x} x^{4}+10 x \ln \left(2\right) {\mathrm e}^{x}-10 \,{\mathrm e}^{x} x^{2}-25\right) \left(3 x +1\right) {\mathrm e}^{4-2 x}}{x^{2}}}}$&$68$\\ \hline \end{longtable}"," ",0,"exp(exp(-1/x^2*(-ln(2)^2*exp(2*x)*x^2+2*ln(2)*exp(2*x)*x^3-exp(2*x)*x^4+10*x*ln(2)*exp(x)-10*exp(x)*x^2-25)*(3*x+1)*exp(4-2*x)))","B"
1157,1,210,21,0.277000," ","int((((-4*x+80)*ln(x-20)^2+(2*x^3-40*x^2)*ln(x-20))*ln((2*ln(x-20)-x^2)/ln(x-20))^2+((-4*x^3+80*x^2)*ln(x-20)+2*x^3)*ln((2*ln(x-20)-x^2)/ln(x-20)))*exp(ln((2*ln(x-20)-x^2)/ln(x-20))^2/x^2)/((2*x^4-40*x^3)*ln(x-20)^2+(-x^6+20*x^5)*ln(x-20)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(-i \pi  \mathrm{csgn}\left(\frac{i \left(-2 \ln \left(x -20\right)+x^{2}\right)}{\ln \left(x -20\right)}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left(-2 \ln \left(x -20\right)+x^{2}\right)}{\ln \left(x -20\right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x -20\right)}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(-2 \ln \left(x -20\right)+x^{2}\right)}{\ln \left(x -20\right)}\right)^{2} \mathrm{csgn}\left(i \left(-2 \ln \left(x -20\right)+x^{2}\right)\right)+i \pi  \,\mathrm{csgn}\left(\frac{i \left(-2 \ln \left(x -20\right)+x^{2}\right)}{\ln \left(x -20\right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x -20\right)}\right) \mathrm{csgn}\left(i \left(-2 \ln \left(x -20\right)+x^{2}\right)\right)+2 i \pi  \mathrm{csgn}\left(\frac{i \left(-2 \ln \left(x -20\right)+x^{2}\right)}{\ln \left(x -20\right)}\right)^{2}-2 i \pi +2 \ln \left(\ln \left(x -20\right)\right)-2 \ln \left(-2 \ln \left(x -20\right)+x^{2}\right)\right)^{2}}{4 x^{2}}}$&$210$\\ \hline \end{longtable}"," ",0,"exp(1/4*(-I*Pi*csgn(I/ln(x-20)*(-2*ln(x-20)+x^2))^3-I*Pi*csgn(I/ln(x-20)*(-2*ln(x-20)+x^2))^2*csgn(I/ln(x-20))-I*Pi*csgn(I/ln(x-20)*(-2*ln(x-20)+x^2))^2*csgn(I*(-2*ln(x-20)+x^2))+I*Pi*csgn(I/ln(x-20)*(-2*ln(x-20)+x^2))*csgn(I/ln(x-20))*csgn(I*(-2*ln(x-20)+x^2))+2*I*Pi*csgn(I/ln(x-20)*(-2*ln(x-20)+x^2))^2-2*I*Pi+2*ln(ln(x-20))-2*ln(-2*ln(x-20)+x^2))^2/x^2)","C"
1158,1,87,26,0.069000," ","int(((-exp(x)*x^2+x^2)*ln(x)^2+((-x-1)*exp(x)+5+2*x)*ln(x)+x-exp(x)+5)*exp((x*ln(x)+1)/(5*exp(x)*x-5*x^2-25*x)/ln(x))/((5*exp(x)^2*x^2+(-10*x^3-50*x^2)*exp(x)+5*x^4+50*x^3+125*x^2)*ln(x)^2*exp((x*ln(x)+1)/(5*exp(x)*x-5*x^2-25*x)/ln(x))+(-10*exp(x)^2*x^2+(20*x^3+100*x^2)*exp(x)-10*x^4-100*x^3-250*x^2)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{5 \left(x -{\mathrm e}^{x}+5\right)}-\frac{1}{5 x \left(x -{\mathrm e}^{x}+5\right) \ln \left(x \right)}-\frac{x \ln \left(x \right)+1}{\left(5 \,{\mathrm e}^{x} x -5 x^{2}-25 x \right) \ln \left(x \right)}+\ln \left({\mathrm e}^{\frac{x \ln \left(x \right)+1}{5 x \left({\mathrm e}^{x}-5-x \right) \ln \left(x \right)}}-2\right)$&$87$\\ \hline \end{longtable}"," ",0,"-1/5/(x-exp(x)+5)-1/5/x/(x-exp(x)+5)/ln(x)-(x*ln(x)+1)/(5*exp(x)*x-5*x^2-25*x)/ln(x)+ln(exp(1/5*(x*ln(x)+1)/x/(exp(x)-5-x)/ln(x))-2)","B"
1159,1,55,28,0.143000," ","int(1/2*(((2*x+1)*exp(5)+1)*ln(5/2)*ln(x)*ln(ln(x))^2+exp(5)*ln(5/2)*ln(x)*ln(ln(x))-exp(5)*ln(5/2))/exp(5)/ln(x)/ln(ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2} \ln \left(2\right)}{2}+\frac{x^{2} \ln \left(5\right)}{2}-\frac{x \ln \left(2\right)}{2}+\frac{x \ln \left(5\right)}{2}-\frac{{\mathrm e}^{-5} x \ln \left(2\right)}{2}+\frac{x \ln \left(5\right) {\mathrm e}^{-5}}{2}-\frac{x \left(\ln \left(2\right)-\ln \left(5\right)\right)}{2 \ln \left(\ln \left(x \right)\right)}$&$55$\\ norman&$\frac{\left(-\frac{\ln \left(2\right)}{2}+\frac{\ln \left(5\right)}{2}\right) x +\left(-\frac{\ln \left(2\right)}{2}+\frac{\ln \left(5\right)}{2}\right) x^{2} \ln \left(\ln \left(x \right)\right)-\frac{{\mathrm e}^{-5} \left({\mathrm e}^{5} \ln \left(2\right)-{\mathrm e}^{5} \ln \left(5\right)+\ln \left(2\right)-\ln \left(5\right)\right) x \ln \left(\ln \left(x \right)\right)}{2}}{\ln \left(\ln \left(x \right)\right)}$&$63$\\ default&$\frac{{\mathrm e}^{-5} \left(\frac{\left(-{\mathrm e}^{5} \ln \left(2\right)-\ln \left(2\right)\right) x \ln \left(\ln \left(x \right)\right)-x \,{\mathrm e}^{5} \ln \left(2\right)-{\mathrm e}^{5} \ln \left(2\right) x^{2} \ln \left(\ln \left(x \right)\right)}{\ln \left(\ln \left(x \right)\right)}+\frac{\left({\mathrm e}^{5} \ln \left(5\right)+\ln \left(5\right)\right) x \ln \left(\ln \left(x \right)\right)+x \,{\mathrm e}^{5} \ln \left(5\right)+{\mathrm e}^{5} \ln \left(5\right) x^{2} \ln \left(\ln \left(x \right)\right)}{\ln \left(\ln \left(x \right)\right)}\right)}{2}$&$87$\\ \hline \end{longtable}"," ",0,"-1/2*x^2*ln(2)+1/2*x^2*ln(5)-1/2*x*ln(2)+1/2*x*ln(5)-1/2*exp(-5)*x*ln(2)+1/2*x*ln(5)*exp(-5)-1/2*x*(ln(2)-ln(5))/ln(ln(x))","A"
1160,1,3290,25,2.279000," ","int(((8*x-2)*exp(x)^2+((-4*x+2)*ln(5)+8*x-4)*exp(x)+4*ln(5))/(x*exp(x)^2+(-x*ln(5)+2*x)*exp(x)-2*x*ln(5))/ln(1/2*(exp(x)^4+(-2*ln(5)+4)*exp(x)^3+(ln(5)^2-8*ln(5)+4)*exp(x)^2+(4*ln(5)^2-8*ln(5))*exp(x)+4*ln(5)^2)/x)/ln(ln(1/2*(exp(x)^4+(-2*ln(5)+4)*exp(x)^3+(ln(5)^2-8*ln(5)+4)*exp(x)^2+(4*ln(5)^2-8*ln(5))*exp(x)+4*ln(5)^2)/x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$3290$\\ \hline \end{longtable}"," ",0,"ln(ln(4*I*ln(exp(x)+2)+Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)+Pi*csgn(I/x)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)-2*I*ln(x)+4*I*ln(-exp(x)+ln(5))+Pi*csgn(I*(exp(x)-ln(5))^2)^3+Pi*csgn(I*(exp(x)+2)^2)^3+Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^3+Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^3-2*I*ln(2)+Pi*csgn(I*(exp(x)-ln(5)))^2*csgn(I*(exp(x)-ln(5))^2)+2*Pi*csgn(I*(exp(x)-ln(5)))*csgn(I*(exp(x)-ln(5))^2)^2+Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)+2))^2-2*Pi*csgn(I*(exp(x)+2)^2)^2*csgn(I*(exp(x)+2))-Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^2-Pi*csgn(I*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^2-Pi*csgn(I/x)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^2-Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^2)-1/4*I*(2*Pi*csgn(I*(-4*I*ln(exp(x)+2)-Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)-Pi*csgn(I/x)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)+2*I*ln(x)-4*I*ln(-exp(x)+ln(5))-Pi*csgn(I*(exp(x)-ln(5))^2)^3-Pi*csgn(I*(exp(x)+2)^2)^3-Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^3-Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^3+2*I*ln(2)-Pi*csgn(I*(exp(x)-ln(5)))^2*csgn(I*(exp(x)-ln(5))^2)-2*Pi*csgn(I*(exp(x)-ln(5)))*csgn(I*(exp(x)-ln(5))^2)^2-Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)+2))^2+2*Pi*csgn(I*(exp(x)+2)^2)^2*csgn(I*(exp(x)+2))+Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^2+Pi*csgn(I*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^2+Pi*csgn(I/x)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^2+Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^2)^2)^2+Pi*csgn(I*(-4*I*ln(exp(x)+2)-Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)-Pi*csgn(I/x)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)+2*I*ln(x)-4*I*ln(-exp(x)+ln(5))-Pi*csgn(I*(exp(x)-ln(5))^2)^3-Pi*csgn(I*(exp(x)+2)^2)^3-Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^3-Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^3+2*I*ln(2)-Pi*csgn(I*(exp(x)-ln(5)))^2*csgn(I*(exp(x)-ln(5))^2)-2*Pi*csgn(I*(exp(x)-ln(5)))*csgn(I*(exp(x)-ln(5))^2)^2-Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)+2))^2+2*Pi*csgn(I*(exp(x)+2)^2)^2*csgn(I*(exp(x)+2))+Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^2+Pi*csgn(I*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^2+Pi*csgn(I/x)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^2+Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^2))^2*csgn(I*(-4*I*ln(exp(x)+2)-Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)-Pi*csgn(I/x)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)+2*I*ln(x)-4*I*ln(-exp(x)+ln(5))-Pi*csgn(I*(exp(x)-ln(5))^2)^3-Pi*csgn(I*(exp(x)+2)^2)^3-Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^3-Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^3+2*I*ln(2)-Pi*csgn(I*(exp(x)-ln(5)))^2*csgn(I*(exp(x)-ln(5))^2)-2*Pi*csgn(I*(exp(x)-ln(5)))*csgn(I*(exp(x)-ln(5))^2)^2-Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)+2))^2+2*Pi*csgn(I*(exp(x)+2)^2)^2*csgn(I*(exp(x)+2))+Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^2+Pi*csgn(I*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^2+Pi*csgn(I/x)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^2+Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^2)^2)+2*Pi*csgn(I*(-4*I*ln(exp(x)+2)-Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)-Pi*csgn(I/x)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)+2*I*ln(x)-4*I*ln(-exp(x)+ln(5))-Pi*csgn(I*(exp(x)-ln(5))^2)^3-Pi*csgn(I*(exp(x)+2)^2)^3-Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^3-Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^3+2*I*ln(2)-Pi*csgn(I*(exp(x)-ln(5)))^2*csgn(I*(exp(x)-ln(5))^2)-2*Pi*csgn(I*(exp(x)-ln(5)))*csgn(I*(exp(x)-ln(5))^2)^2-Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)+2))^2+2*Pi*csgn(I*(exp(x)+2)^2)^2*csgn(I*(exp(x)+2))+Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^2+Pi*csgn(I*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^2+Pi*csgn(I/x)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^2+Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^2))*csgn(I*(-4*I*ln(exp(x)+2)-Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)-Pi*csgn(I/x)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)+2*I*ln(x)-4*I*ln(-exp(x)+ln(5))-Pi*csgn(I*(exp(x)-ln(5))^2)^3-Pi*csgn(I*(exp(x)+2)^2)^3-Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^3-Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^3+2*I*ln(2)-Pi*csgn(I*(exp(x)-ln(5)))^2*csgn(I*(exp(x)-ln(5))^2)-2*Pi*csgn(I*(exp(x)-ln(5)))*csgn(I*(exp(x)-ln(5))^2)^2-Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)+2))^2+2*Pi*csgn(I*(exp(x)+2)^2)^2*csgn(I*(exp(x)+2))+Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^2+Pi*csgn(I*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^2+Pi*csgn(I/x)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^2+Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^2)^2)^2-Pi*csgn(I*(-4*I*ln(exp(x)+2)-Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)-Pi*csgn(I/x)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)+2*I*ln(x)-4*I*ln(-exp(x)+ln(5))-Pi*csgn(I*(exp(x)-ln(5))^2)^3-Pi*csgn(I*(exp(x)+2)^2)^3-Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^3-Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^3+2*I*ln(2)-Pi*csgn(I*(exp(x)-ln(5)))^2*csgn(I*(exp(x)-ln(5))^2)-2*Pi*csgn(I*(exp(x)-ln(5)))*csgn(I*(exp(x)-ln(5))^2)^2-Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)+2))^2+2*Pi*csgn(I*(exp(x)+2)^2)^2*csgn(I*(exp(x)+2))+Pi*csgn(I*(exp(x)+2)^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^2+Pi*csgn(I*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)^2+Pi*csgn(I/x)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^2+Pi*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2)*csgn(I*(exp(x)+2)^2*(exp(x)-ln(5))^2/x)^2)^2)^3-4*I*ln(2)-2*Pi))","C"
1161,1,22,24,0.190000," ","int(((2*ln(5)*ln(x^2)-4*ln(5))*exp((exp(1)*ln(5)*ln(x^2)+x*ln(5))/x/exp(1))^2+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -5^{\frac{2 \ln \left(x^{2}\right)+2 \,{\mathrm e}^{-1} x}{x}}$&$22$\\ default&$x -{\mathrm e}^{\frac{2 \left({\mathrm e} \ln \left(5\right) \ln \left(x^{2}\right)+x \ln \left(5\right)\right) {\mathrm e}^{-1}}{x}}$&$30$\\ norman&$\frac{x^{2}-x \,{\mathrm e}^{\frac{2 \left({\mathrm e} \ln \left(5\right) \ln \left(x^{2}\right)+x \ln \left(5\right)\right) {\mathrm e}^{-1}}{x}}}{x}$&$37$\\ \hline \end{longtable}"," ",0,"x-(5^((ln(x^2)+exp(-1)*x)/x))^2","A"
1162,1,30,26,0.038000," ","int((2*x+1)*exp(-exp(3)+2*x+4)-2*x*ln(2)^2-88*x*ln(2)-968*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-\ln \left(2\right)^{2}-44 \ln \left(2\right)-484\right) x^{2}+{\mathrm e}^{-{\mathrm e}^{3}+2 x +4} x$&$30$\\ risch&${\mathrm e}^{-{\mathrm e}^{3}+2 x +4} x -x^{2} \ln \left(2\right)^{2}-44 x^{2} \ln \left(2\right)-484 x^{2}$&$35$\\ default&$\frac{{\mathrm e}^{-{\mathrm e}^{3}+2 x +4} \left(-{\mathrm e}^{3}+2 x +4\right)}{2}-2 \,{\mathrm e}^{-{\mathrm e}^{3}+2 x +4}+\frac{{\mathrm e}^{-{\mathrm e}^{3}+2 x +4} {\mathrm e}^{3}}{2}-484 x^{2}-44 x^{2} \ln \left(2\right)-x^{2} \ln \left(2\right)^{2}$&$70$\\ derivativedivides&$-121 \left(-{\mathrm e}^{3}+2 x +4\right)^{2}-968 \,{\mathrm e}^{3}+1936 x +3872+\frac{{\mathrm e}^{-{\mathrm e}^{3}+2 x +4} \left(-{\mathrm e}^{3}+2 x +4\right)}{2}-2 \,{\mathrm e}^{-{\mathrm e}^{3}+2 x +4}+\frac{{\mathrm e}^{-{\mathrm e}^{3}+2 x +4} {\mathrm e}^{3}}{2}-22 \ln \left(2\right) {\mathrm e}^{3} \left(-{\mathrm e}^{3}+2 x +4\right)-11 \ln \left(2\right) \left(-{\mathrm e}^{3}+2 x +4\right)^{2}+88 \ln \left(2\right) \left(-{\mathrm e}^{3}+2 x +4\right)-\frac{\ln \left(2\right)^{2} {\mathrm e}^{3} \left(-{\mathrm e}^{3}+2 x +4\right)}{2}-\frac{\ln \left(2\right)^{2} \left(-{\mathrm e}^{3}+2 x +4\right)^{2}}{4}+2 \ln \left(2\right)^{2} \left(-{\mathrm e}^{3}+2 x +4\right)-242 \,{\mathrm e}^{3} \left(-{\mathrm e}^{3}+2 x +4\right)$&$175$\\ \hline \end{longtable}"," ",0,"(-ln(2)^2-44*ln(2)-484)*x^2+exp(-exp(3)+2*x+4)*x","A"
1163,1,47,24,0.033000," ","int((-24576*ln(x)^2+(98304*ln(2)+24576*x+24576)*ln(x)-98304*ln(2)^2+2*(-24576*x-24576)*ln(2)-3*x^3-24576*x)*exp((4096*ln(x)^2+(-16384*ln(2)-8192*x)*ln(x)+16384*ln(2)^2+16384*x*ln(2)-x^3+4096*x^2)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \,{\mathrm e}^{\frac{-x^{3}+4096 \ln \left(x \right)^{2}-16384 \ln \left(2\right) \ln \left(x \right)-8192 x \ln \left(x \right)+16384 \ln \left(2\right)^{2}+16384 x \ln \left(2\right)+4096 x^{2}}{x^{2}}}$&$47$\\ \hline \end{longtable}"," ",0,"3*exp((-x^3+4096*ln(x)^2-16384*ln(2)*ln(x)-8192*x*ln(x)+16384*ln(2)^2+16384*x*ln(2)+4096*x^2)/x^2)","A"
1164,1,25,18,1.175000," ","int(((-16*x^3+4)*exp(1)^5+8*x*exp(1)^4)/((x^20-5*x^17+10*x^14-10*x^11+5*x^8-x^5)*exp(1)^5+(-5*x^18+20*x^15-30*x^12+20*x^9-5*x^6)*exp(1)^4+(10*x^16-30*x^13+30*x^10-10*x^7)*exp(1)^3+(-10*x^14+20*x^11-10*x^8)*exp(1)^2+(5*x^12-5*x^9)*exp(1)-x^10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{4}}{x^{4} \left(x^{3} {\mathrm e}-{\mathrm e}-x \right)^{4}}$&$25$\\ risch&$\frac{{\mathrm e}^{4}}{x^{4} \left({\mathrm e}^{4} x^{12}-4 x^{9} {\mathrm e}^{4}-4 \,{\mathrm e}^{3} x^{10}+6 x^{6} {\mathrm e}^{4}+12 x^{7} {\mathrm e}^{3}+6 x^{8} {\mathrm e}^{2}-4 x^{3} {\mathrm e}^{4}-12 x^{4} {\mathrm e}^{3}-12 \,{\mathrm e}^{2} x^{5}-4 x^{6} {\mathrm e}+{\mathrm e}^{4}+4 x \,{\mathrm e}^{3}+6 x^{2} {\mathrm e}^{2}+4 x^{3} {\mathrm e}+x^{4}\right)}$&$103$\\ gosper&$\frac{{\mathrm e}^{4}}{x^{4} \left({\mathrm e}^{4} x^{12}-4 x^{9} {\mathrm e}^{4}-4 \,{\mathrm e}^{3} x^{10}+6 x^{6} {\mathrm e}^{4}+12 x^{7} {\mathrm e}^{3}+6 x^{8} {\mathrm e}^{2}-4 x^{3} {\mathrm e}^{4}-12 x^{4} {\mathrm e}^{3}-12 \,{\mathrm e}^{2} x^{5}-4 x^{6} {\mathrm e}+{\mathrm e}^{4}+4 x \,{\mathrm e}^{3}+6 x^{2} {\mathrm e}^{2}+4 x^{3} {\mathrm e}+x^{4}\right)}$&$129$\\ default&$4 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{-25} \left({\mathrm e}^{21}-5 \,{\mathrm e}^{18}\right)}{x}+\frac{{\mathrm e}^{21} {\mathrm e}^{-25}}{4 x^{4}}+\frac{5 \,{\mathrm e}^{-25} {\mathrm e}^{19}}{2 x^{2}}-\frac{{\mathrm e}^{-25} {\mathrm e}^{20}}{x^{3}}-\frac{{\mathrm e}^{-25} \left(\munderset{\textit{\_R} =\RootOf \left({\mathrm e}^{5} \textit{\_Z}^{15}-5 \,{\mathrm e}^{4} \textit{\_Z}^{13}-5 \,{\mathrm e}^{5} \textit{\_Z}^{12}+10 \,{\mathrm e}^{3} \textit{\_Z}^{11}+20 \,{\mathrm e}^{4} \textit{\_Z}^{10}+\left(10 \,{\mathrm e}^{5}-10 \,{\mathrm e}^{2}\right) \textit{\_Z}^{9}-30 \,{\mathrm e}^{3} \textit{\_Z}^{8}+\left(-30 \,{\mathrm e}^{4}+5 \,{\mathrm e}\right) \textit{\_Z}^{7}+\left(-10 \,{\mathrm e}^{5}+20 \,{\mathrm e}^{2}\right) \textit{\_Z}^{6}+\left(30 \,{\mathrm e}^{3}-1\right) \textit{\_Z}^{5}+\left(20 \,{\mathrm e}^{4}-5 \,{\mathrm e}\right) \textit{\_Z}^{4}+\left(5 \,{\mathrm e}^{5}-10 \,{\mathrm e}^{2}\right) \textit{\_Z}^{3}-10 \textit{\_Z}^{2} {\mathrm e}^{3}-5 \textit{\_Z} \,{\mathrm e}^{4}-{\mathrm e}^{5}\right)}{\sum}\frac{\left(\left(-{\mathrm e}^{26}+5 \,{\mathrm e}^{23}\right) \textit{\_R}^{13}-5 \textit{\_R}^{12} {\mathrm e}^{24}+\left(8 \,{\mathrm e}^{25}-25 \,{\mathrm e}^{22}\right) \textit{\_R}^{11}+4 \textit{\_R}^{10} {\mathrm e}^{26}+50 \textit{\_R}^{9} {\mathrm e}^{21}+10 \left(-3 \,{\mathrm e}^{25}+5 \,{\mathrm e}^{22}\right) \textit{\_R}^{8}+5 \left(-{\mathrm e}^{26}-2 \,{\mathrm e}^{23}-10 \,{\mathrm e}^{20}\right) \textit{\_R}^{7}+10 \left(-10 \,{\mathrm e}^{21}+3 \,{\mathrm e}^{24}\right) \textit{\_R}^{6}+5 \left(8 \,{\mathrm e}^{25}-7 \,{\mathrm e}^{22}+5 \,{\mathrm e}^{19}\right) \textit{\_R}^{5}+75 \textit{\_R}^{4} {\mathrm e}^{20}+\left(66 \,{\mathrm e}^{21}-40 \,{\mathrm e}^{24}-5 \,{\mathrm e}^{18}\right) \textit{\_R}^{3}+10 \left(-2 \,{\mathrm e}^{25}+{\mathrm e}^{22}-2 \,{\mathrm e}^{19}\right) \textit{\_R}^{2}+\left(5 \,{\mathrm e}^{26}+5 \,{\mathrm e}^{23}-28 \,{\mathrm e}^{20}\right) \textit{\_R} -14 \,{\mathrm e}^{21}+15 \,{\mathrm e}^{24}\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{14} {\mathrm e}^{5}-12 \,{\mathrm e}^{5} \textit{\_R}^{11}-13 \,{\mathrm e}^{4} \textit{\_R}^{12}+18 \textit{\_R}^{8} {\mathrm e}^{5}+40 \textit{\_R}^{9} {\mathrm e}^{4}+22 \,{\mathrm e}^{3} \textit{\_R}^{10}-12 \textit{\_R}^{5} {\mathrm e}^{5}-42 \textit{\_R}^{6} {\mathrm e}^{4}-48 \textit{\_R}^{7} {\mathrm e}^{3}-18 \textit{\_R}^{8} {\mathrm e}^{2}+3 \textit{\_R}^{2} {\mathrm e}^{5}+16 \textit{\_R}^{3} {\mathrm e}^{4}+30 \textit{\_R}^{4} {\mathrm e}^{3}+24 \,{\mathrm e}^{2} \textit{\_R}^{5}+7 \textit{\_R}^{6} {\mathrm e}-{\mathrm e}^{4}-4 \textit{\_R} \,{\mathrm e}^{3}-6 \textit{\_R}^{2} {\mathrm e}^{2}-4 \textit{\_R}^{3} {\mathrm e}-\textit{\_R}^{4}}\right)}{5}\right)$&$507$\\ \hline \end{longtable}"," ",0,"exp(1)^4/x^4/(x^3*exp(1)-exp(1)-x)^4","A"
1165,1,11,10,0.030000," ","int(((x^6+2*x^5)*exp(x)+6*x^5+10*x^4)*exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(2+x \right) x^{5} {\mathrm e}^{{\mathrm e}^{x}}$&$11$\\ norman&$x^{6} {\mathrm e}^{{\mathrm e}^{x}}+2 x^{5} {\mathrm e}^{{\mathrm e}^{x}}$&$17$\\ \hline \end{longtable}"," ",0,"(2+x)*x^5*exp(exp(x))","A"
1166,1,37,28,0.162000," ","int(((-125*x^8+375*x^6+1000*x^5)*ln(2)+300*x^3)/((25*x^10-250*x^9+775*x^8-550*x^7-775*x^6+600*x^5+400*x^4)*ln(2)^2+(30*x^5-150*x^4+90*x^3+120*x^2)*ln(2)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5 x^{4}}{x^{5} \ln \left(2\right)-5 x^{4} \ln \left(2\right)+3 x^{3} \ln \left(2\right)+4 x^{2} \ln \left(2\right)+\frac{3}{5}}$&$37$\\ risch&$\frac{5 x^{4}}{x^{5} \ln \left(2\right)-5 x^{4} \ln \left(2\right)+3 x^{3} \ln \left(2\right)+4 x^{2} \ln \left(2\right)+\frac{3}{5}}$&$37$\\ gosper&$\frac{25 x^{4}}{5 x^{5} \ln \left(2\right)-25 x^{4} \ln \left(2\right)+15 x^{3} \ln \left(2\right)+20 x^{2} \ln \left(2\right)+3}$&$38$\\ norman&$\frac{25 x^{4}}{5 x^{5} \ln \left(2\right)-25 x^{4} \ln \left(2\right)+15 x^{3} \ln \left(2\right)+20 x^{2} \ln \left(2\right)+3}$&$38$\\ \hline \end{longtable}"," ",0,"5*x^4/(x^5*ln(2)-5*x^4*ln(2)+3*x^3*ln(2)+4*x^2*ln(2)+3/5)","A"
1167,1,18,20,0.081000," ","int(((x*exp(x)*ln(x)*exp(exp(x))+(ln(3)-5)*ln(x)+ln(3)-5)*exp(exp(exp(x))/(ln(3)-5))+ln(3)-5)/(ln(3)-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +x \ln \left(x \right) {\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{x}}}{\ln \left(3\right)-5}}$&$18$\\ \hline \end{longtable}"," ",0,"x+x*ln(x)*exp(exp(exp(x))/(ln(3)-5))","A"
1168,1,47401,34,8.414000," ","int(((((-40*x+8)*exp(x)+80*x-16)*ln(-5*x^3+x^2)+(120*x-24)*exp(x)-240*x+48)*ln((ln(-5*x^3+x^2)-3)/(exp(x)*x-2*x))^2+(((-40*x^2-32*x+8)*exp(x)+80*x-16)*ln(-5*x^3+x^2)+(120*x^2+216*x-40)*exp(x)-480*x+80)*ln((ln(-5*x^3+x^2)-3)/(exp(x)*x-2*x)))/(((5*x^4-x^3)*exp(x)-10*x^4+2*x^3)*ln(-5*x^3+x^2)+(-15*x^4+3*x^3)*exp(x)+30*x^4-6*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$47401$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
1169,1,17,16,0.030000," ","int((-exp(x)+2*x+2)/(exp(x)-x^2-2*x-1)/ln(exp(x)-x^2-2*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left({\mathrm e}^{x}-x^{2}-2 x -1\right)\right)$&$17$\\ risch&$-\ln \left(\ln \left({\mathrm e}^{x}-x^{2}-2 x -1\right)\right)$&$17$\\ \hline \end{longtable}"," ",0,"-ln(ln(exp(x)-x^2-2*x-1))","A"
1170,1,27,20,0.043000," ","int(((5*x*ln(2*x)-10*x+1)*exp(1/2*(4*ln(2*x)^2-10*x+1)/ln(2*x)^2)+x*ln(2*x)^3)/x/ln(2*x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{\frac{4 \ln \left(2 x \right)^{2}-10 x +1}{2 \ln \left(2 x \right)^{2}}}$&$27$\\ risch&$x -{\mathrm e}^{\frac{4 \ln \left(2 x \right)^{2}-10 x +1}{2 \ln \left(2 x \right)^{2}}}$&$27$\\ norman&$\frac{x \ln \left(2 x \right)^{2}-\ln \left(2 x \right)^{2} {\mathrm e}^{\frac{4 \ln \left(2 x \right)^{2}-10 x +1}{2 \ln \left(2 x \right)^{2}}}}{\ln \left(2 x \right)^{2}}$&$47$\\ \hline \end{longtable}"," ",0,"x-exp(1/2*(4*ln(2*x)^2-10*x+1)/ln(2*x)^2)","A"
1171,1,20,13,0.053000," ","int((-24*x^2-105*x-45)/((9*x+36)*ln(4+x)^2+(24*x^3+114*x^2+72*x)*ln(4+x)+16*x^5+88*x^4+105*x^3+36*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3}{4 x^{2}+3 \ln \left(4+x \right)+3 x}$&$20$\\ risch&$\frac{3}{4 x^{2}+3 \ln \left(4+x \right)+3 x}$&$20$\\ \hline \end{longtable}"," ",0,"3/(4*x^2+3*ln(4+x)+3*x)","A"
1172,0,0,25,0.115000," ","int((((-135*x^5*exp(1/5*x)+360*x^3*ln(5))*exp(x)+(27*x^5-135*x^4)*exp(1/5*x)+1080*x^2*ln(5))*exp(exp(x))-108*x^4*exp(1/5*x)-2880*x*ln(5))/(45*x^4*exp(1/5*x)^2-240*x^2*ln(5)*exp(1/5*x)+320*ln(5)^2),x)","\[\int \frac{\left(\left(-135 x^{5} {\mathrm e}^{\frac{x}{5}}+360 x^{3} \ln \left(5\right)\right) {\mathrm e}^{x}+\left(27 x^{5}-135 x^{4}\right) {\mathrm e}^{\frac{x}{5}}+1080 x^{2} \ln \left(5\right)\right) {\mathrm e}^{{\mathrm e}^{x}}-108 x^{4} {\mathrm e}^{\frac{x}{5}}-2880 x \ln \left(5\right)}{45 x^{4} {\mathrm e}^{\frac{2 x}{5}}-240 x^{2} \ln \left(5\right) {\mathrm e}^{\frac{x}{5}}+320 \ln \left(5\right)^{2}}\, dx\]"," ",0,"int((((-135*x^5*exp(1/5*x)+360*x^3*ln(5))*exp(x)+(27*x^5-135*x^4)*exp(1/5*x)+1080*x^2*ln(5))*exp(exp(x))-108*x^4*exp(1/5*x)-2880*x*ln(5))/(45*x^4*exp(1/5*x)^2-240*x^2*ln(5)*exp(1/5*x)+320*ln(5)^2),x)","F"
1173,1,27,20,0.030000," ","int(((32*x^2+32*x)*ln(x)^2+(32*x^2+64*x+32)*ln(x)-x)/((16*x^3+32*x^2+16*x)*ln(x)^2-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x +1\right)+\ln \left(\ln \left(x \right)^{2}-\frac{x}{16 \left(x^{2}+2 x +1\right)}\right)$&$27$\\ norman&$\ln \left(16 x^{2} \ln \left(x \right)^{2}+32 x \ln \left(x \right)^{2}+16 \ln \left(x \right)^{2}-x \right)$&$28$\\ \hline \end{longtable}"," ",0,"2*ln(x+1)+ln(ln(x)^2-1/16*x/(x^2+2*x+1))","A"
1174,1,46,24,0.257000," ","int((-2592*exp(2)^4-10368*x*exp(2)^3+(-15552*x^2+5670*x+576)*exp(2)^2+(-10368*x^3+11016*x^2+1152*x)*exp(2)-2592*x^4+5346*x^3-2340*x^2-630*x-32)/(5184*x^3*exp(2)^4+20736*x^4*exp(2)^3+(31104*x^5-11664*x^4-1152*x^3)*exp(2)^2+(20736*x^6-23328*x^5-2304*x^4)*exp(2)+5184*x^7-11664*x^6+5409*x^5+1296*x^4+64*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{-2+18 x^{2}+72 \left(\frac{{\mathrm e}^{2}}{2}-\frac{1}{4}\right) x +18 \,{\mathrm e}^{4}}{x^{2} \left(72 \,{\mathrm e}^{4}+144 \,{\mathrm e}^{2} x +72 x^{2}-81 x -8\right)}$&$46$\\ norman&$\frac{\left(36 \,{\mathrm e}^{2}-18\right) x +18 x^{2}-2+18 \,{\mathrm e}^{4}}{x^{2} \left(72 \,{\mathrm e}^{4}+144 \,{\mathrm e}^{2} x +72 x^{2}-81 x -8\right)}$&$49$\\ gosper&$\frac{18 \,{\mathrm e}^{4}+36 \,{\mathrm e}^{2} x +18 x^{2}-18 x -2}{x^{2} \left(72 \,{\mathrm e}^{4}+144 \,{\mathrm e}^{2} x +72 x^{2}-81 x -8\right)}$&$50$\\ default&$\frac{9 \left(\munderset{\textit{\_R} =\RootOf \left(5184 \textit{\_Z}^{4}+\left(20736 \,{\mathrm e}^{2}-11664\right) \textit{\_Z}^{3}+\left(-23328 \,{\mathrm e}^{2}+31104 \,{\mathrm e}^{4}+5409\right) \textit{\_Z}^{2}+\left(-2304 \,{\mathrm e}^{2}-11664 \,{\mathrm e}^{4}+20736 \,{\mathrm e}^{6}+1296\right) \textit{\_Z} -1152 \,{\mathrm e}^{4}+5184 \,{\mathrm e}^{8}+64\right)}{\sum}\frac{\left(-793+576 \left(-1+27 \,{\mathrm e}^{4}+729 \,{\mathrm e}^{12}-243 \,{\mathrm e}^{8}\right) \textit{\_R}^{2}+144 \left(9-16 \,{\mathrm e}^{2}-243 \,{\mathrm e}^{4}-6561 \,{\mathrm e}^{12}-3888 \,{\mathrm e}^{10}+11664 \,{\mathrm e}^{14}+2187 \,{\mathrm e}^{8}+432 \,{\mathrm e}^{6}\right) \textit{\_R} +2592 \,{\mathrm e}^{2}+19683 \,{\mathrm e}^{4}+158193 \,{\mathrm e}^{12}+629856 \,{\mathrm e}^{10}-1889568 \,{\mathrm e}^{14}+1259712 \,{\mathrm e}^{16}-146043 \,{\mathrm e}^{8}-69984 \,{\mathrm e}^{6}\right) \ln \left(x -\textit{\_R} \right)}{72+1152 \,{\mathrm e}^{6}+3456 \textit{\_R} \,{\mathrm e}^{4}+3456 \textit{\_R}^{2} {\mathrm e}^{2}+1152 \textit{\_R}^{3}-648 \,{\mathrm e}^{4}-2592 \,{\mathrm e}^{2} \textit{\_R} -1944 \textit{\_R}^{2}-128 \,{\mathrm e}^{2}+601 \textit{\_R}}\right)}{64 \left(18 \,{\mathrm e}^{4}-81 \,{\mathrm e}^{8}-1\right)^{2}}-\frac{-243 \,{\mathrm e}^{4}-6561 \,{\mathrm e}^{12}+2187 \,{\mathrm e}^{8}+9}{32 \left(18 \,{\mathrm e}^{4}-81 \,{\mathrm e}^{8}-1\right)^{2} x}-\frac{36 \,{\mathrm e}^{4}+2916 \,{\mathrm e}^{12}-6561 \,{\mathrm e}^{16}-486 \,{\mathrm e}^{8}-1}{4 \left(18 \,{\mathrm e}^{4}-81 \,{\mathrm e}^{8}-1\right)^{2} x^{2}}$&$280$\\ \hline \end{longtable}"," ",0,"72*(-1/36+1/4*x^2+(1/2*exp(2)-1/4)*x+1/4*exp(4))/x^2/(72*exp(4)+144*exp(2)*x+72*x^2-81*x-8)","A"
1175,1,23,22,0.059000," ","int(((-90*x+720)*exp(exp(1/3*x))^2+(x*exp(1/3*x)+180*x^2-1440*x-3)*exp(exp(1/3*x))-90*x^3+720*x^2)/(3*exp(exp(1/3*x))^2-6*x*exp(exp(1/3*x))+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-15 x^{2}+240 x +\frac{x}{-{\mathrm e}^{{\mathrm e}^{\frac{x}{3}}}+x}$&$23$\\ norman&$\frac{{\mathrm e}^{{\mathrm e}^{\frac{x}{3}}}+240 x^{2}-15 x^{3}-240 x \,{\mathrm e}^{{\mathrm e}^{\frac{x}{3}}}+15 \,{\mathrm e}^{{\mathrm e}^{\frac{x}{3}}} x^{2}}{-{\mathrm e}^{{\mathrm e}^{\frac{x}{3}}}+x}$&$47$\\ \hline \end{longtable}"," ",0,"-15*x^2+240*x+x/(-exp(exp(1/3*x))+x)","A"
1176,1,41,21,0.227000," ","int(((2*x^4*ln(3)-10*x^4+6*x^2)*ln(x^2)+15*x^4*ln(3)^2+(-146*x^4+30*x^2)*ln(3)+355*x^4-146*x^2+60*x+15)/(15*x^4*ln(3)^2+(-150*x^4+30*x^2)*ln(3)+375*x^4-150*x^2+15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x +\left(\ln \left(3\right)-5\right) x^{3}+2 x^{2}+\frac{2 x^{3} \ln \left(x^{2}\right)}{15}}{x^{2} \ln \left(3\right)-5 x^{2}+1}$&$41$\\ risch&$\frac{2 x^{3} \ln \left(x^{2}\right)}{15 \left(x^{2} \ln \left(3\right)-5 x^{2}+1\right)}+\frac{x^{3} \ln \left(3\right)^{2}-10 x^{3} \ln \left(3\right)+25 x^{3}+x \ln \left(3\right)-5 x -2}{\left(x^{2} \ln \left(3\right)-5 x^{2}+1\right) \left(\ln \left(3\right)-5\right)}$&$77$\\ \hline \end{longtable}"," ",0,"(x+(ln(3)-5)*x^3+2*x^2+2/15*x^3*ln(x^2))/(x^2*ln(3)-5*x^2+1)","A"
1177,1,18,19,0.151000," ","int(((-20*x+80)*ln(-x+4)+15*x-80)/((x^6-4*x^5)*exp(11)^2*ln(-x+4)^2+(-2*x^6+8*x^5)*exp(11)^2*ln(-x+4)+(x^6-4*x^5)*exp(11)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \,{\mathrm e}^{-22}}{\left(\ln \left(-x +4\right)-1\right) x^{4}}$&$18$\\ norman&$\frac{5 \,{\mathrm e}^{-22}}{\left(\ln \left(-x +4\right)-1\right) x^{4}}$&$20$\\ \hline \end{longtable}"," ",0,"5/(ln(-x+4)-1)*exp(-22)/x^4","A"
1178,1,21,21,0.025000," ","int((-exp(x)+2*x+1)*exp(ln(4*ln(5)^2)-exp(x)-exp(1)+x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(5\right)^{2} {\mathrm e}^{-{\mathrm e}^{x}-{\mathrm e}+x^{2}+x}$&$21$\\ derivativedivides&${\mathrm e}^{\ln \left(4 \ln \left(5\right)^{2}\right)-{\mathrm e}^{x}-{\mathrm e}+x^{2}+x}$&$22$\\ default&${\mathrm e}^{\ln \left(4 \ln \left(5\right)^{2}\right)-{\mathrm e}^{x}-{\mathrm e}+x^{2}+x}$&$22$\\ norman&${\mathrm e}^{\ln \left(4 \ln \left(5\right)^{2}\right)-{\mathrm e}^{x}-{\mathrm e}+x^{2}+x}$&$22$\\ \hline \end{longtable}"," ",0,"4*ln(5)^2*exp(-exp(x)-exp(1)+x^2+x)","A"
1179,1,10,17,0.198000," ","int(-2*exp(2)*exp(16)/(x^2+10*x+25)/exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{16}}{5+x}$&$10$\\ meijerg&$-\frac{2 \,{\mathrm e}^{16} x}{25 \left(1+\frac{x}{5}\right)}$&$13$\\ gosper&$\frac{2 \,{\mathrm e}^{18} {\mathrm e}^{-2}}{5+x}$&$14$\\ default&$\frac{2 \,{\mathrm e}^{16} {\mathrm e}^{-2} {\mathrm e}^{2}}{5+x}$&$16$\\ norman&$\frac{2 \,{\mathrm e}^{16} {\mathrm e}^{-2} {\mathrm e}^{2}}{5+x}$&$16$\\ \hline \end{longtable}"," ",0,"2*exp(16)/(5+x)","A"
1180,1,20,30,0.100000," ","int(((-5*x-10)*exp(2/x)*exp((-exp(2/x)+x)/x)+x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -5 \,{\mathrm e}^{\frac{-{\mathrm e}^{\frac{2}{x}}+x}{x}}$&$20$\\ norman&$\frac{x^{3}-5 x^{2} {\mathrm e}^{\frac{-{\mathrm e}^{\frac{2}{x}}+x}{x}}}{x^{2}}$&$29$\\ \hline \end{longtable}"," ",0,"x-5*exp((-exp(2/x)+x)/x)","A"
1181,1,16,13,0.013000," ","int(((3*x^3+18*x^2+20*x)*ln(x)+1)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{3}+9 x^{2}+20 x +\ln \left(\ln \left(x \right)\right)$&$16$\\ norman&$x^{3}+9 x^{2}+20 x +\ln \left(\ln \left(x \right)\right)$&$16$\\ risch&$x^{3}+9 x^{2}+20 x +\ln \left(\ln \left(x \right)\right)$&$16$\\ \hline \end{longtable}"," ",0,"x^3+9*x^2+20*x+ln(ln(x))","A"
1182,1,49,15,0.094000," ","int((-9*x^8-256*x^7-3136*x^6-21504*x^5-89600*x^4-229376*x^3-344064*x^2-262144*x-65537)*exp(5)/(x^18+64*x^17+1920*x^16+35840*x^15+465920*x^14+4472832*x^13+32800768*x^12+187432960*x^11+843448322*x^10+2998927414*x^9+8396997184*x^8+18320722560*x^7+30534533120*x^6+37580899328*x^5+32211910656*x^4+17178984448*x^3+4293787649*x^2-655370*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{5}}{x^{9}+32 x^{8}+448 x^{7}+3584 x^{6}+17920 x^{5}+57344 x^{4}+114688 x^{3}+131072 x^{2}+65537 x -5}$&$49$\\ default&$\frac{{\mathrm e}^{5}}{x^{9}+32 x^{8}+448 x^{7}+3584 x^{6}+17920 x^{5}+57344 x^{4}+114688 x^{3}+131072 x^{2}+65537 x -5}$&$49$\\ norman&$\frac{{\mathrm e}^{5}}{x^{9}+32 x^{8}+448 x^{7}+3584 x^{6}+17920 x^{5}+57344 x^{4}+114688 x^{3}+131072 x^{2}+65537 x -5}$&$49$\\ risch&$\frac{{\mathrm e}^{5}}{x^{9}+32 x^{8}+448 x^{7}+3584 x^{6}+17920 x^{5}+57344 x^{4}+114688 x^{3}+131072 x^{2}+65537 x -5}$&$49$\\ \hline \end{longtable}"," ",0,"exp(5)/(x^9+32*x^8+448*x^7+3584*x^6+17920*x^5+57344*x^4+114688*x^3+131072*x^2+65537*x-5)","B"
1183,1,35,22,0.540000," ","int((((exp(-ln(3)+x)^2+(2*ln(2)-8)*exp(-ln(3)+x)+ln(2)^2-8*ln(2)+16)*exp(x)-16*exp(-ln(3)+x))*exp(((exp(-ln(3)+x)+ln(2)-4)*exp(x)+17*exp(-ln(3)+x)+17*ln(2)-52)/(exp(-ln(3)+x)+ln(2)-4))+exp(-ln(3)+x)^2+(2*ln(2)-8)*exp(-ln(3)+x)+ln(2)^2-8*ln(2)+16)/(exp(-ln(3)+x)^2+(2*ln(2)-8)*exp(-ln(3)+x)+ln(2)^2-8*ln(2)+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{{\mathrm e}^{2 x}+3 \,{\mathrm e}^{x} \ln \left(2\right)+5 \,{\mathrm e}^{x}+51 \ln \left(2\right)-156}{{\mathrm e}^{x}+3 \ln \left(2\right)-12}}$&$35$\\ norman&$\frac{\left(3 \ln \left(2\right)-12\right) x +\left(3 \ln \left(2\right)-12\right) {\mathrm e}^{\frac{\left(\frac{{\mathrm e}^{x}}{3}+\ln \left(2\right)-4\right) {\mathrm e}^{x}+\frac{17 \,{\mathrm e}^{x}}{3}+17 \ln \left(2\right)-52}{\frac{{\mathrm e}^{x}}{3}+\ln \left(2\right)-4}}+{\mathrm e}^{x} x +{\mathrm e}^{x} {\mathrm e}^{\frac{\left(\frac{{\mathrm e}^{x}}{3}+\ln \left(2\right)-4\right) {\mathrm e}^{x}+\frac{17 \,{\mathrm e}^{x}}{3}+17 \ln \left(2\right)-52}{\frac{{\mathrm e}^{x}}{3}+\ln \left(2\right)-4}}}{{\mathrm e}^{x}+3 \ln \left(2\right)-12}$&$101$\\ \hline \end{longtable}"," ",0,"x+exp((exp(2*x)+3*exp(x)*ln(2)+5*exp(x)+51*ln(2)-156)/(exp(x)+3*ln(2)-12))","A"
1184,1,19,17,0.260000," ","int((((2*x-3)*ln(-x^2+3/2*x)+4*x-3)*ln(x)+(2*x-3)*ln(-x^2+3/2*x)+4*x^2-6*x)/(2*x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\ln \left(x \right) \ln \left(-x^{2}+\frac{3}{2} x \right) x$&$19$\\ default&$-x \ln \left(2\right) \ln \left(x \right)+x \ln \left(x \right) \ln \left(-2 x^{2}+3 x \right)+x^{2}$&$26$\\ risch&$\ln \left(x \right) x \ln \left(x -\frac{3}{2}\right)+x \ln \left(x \right)^{2}-\frac{i \ln \left(x \right) x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -\frac{3}{2}\right)\right) \mathrm{csgn}\left(i x \left(x -\frac{3}{2}\right)\right)}{2}+\frac{i \ln \left(x \right) x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -\frac{3}{2}\right)\right)^{2}}{2}-i \ln \left(x \right) x \pi  \mathrm{csgn}\left(i x \left(x -\frac{3}{2}\right)\right)^{2}+\frac{i \ln \left(x \right) x \pi  \,\mathrm{csgn}\left(i \left(x -\frac{3}{2}\right)\right) \mathrm{csgn}\left(i x \left(x -\frac{3}{2}\right)\right)^{2}}{2}+\frac{i \ln \left(x \right) x \pi  \mathrm{csgn}\left(i x \left(x -\frac{3}{2}\right)\right)^{3}}{2}+i \ln \left(x \right) x \pi -x \ln \left(2\right) \ln \left(x \right)+x^{2}$&$140$\\ \hline \end{longtable}"," ",0,"x^2+ln(x)*ln(-x^2+3/2*x)*x","A"
1185,1,296,29,0.827000," ","int((((-2*x^3-4*x^2+8*x+16)*ln(2)+8*x^3+14*x^2-28*x-64)*ln(5)^6+((-12*x^4-24*x^3+48*x^2+96*x)*ln(2)+48*x^4+84*x^3-168*x^2-384*x)*ln(5)^5+((-30*x^5-60*x^4+128*x^3+320*x^2+224*x+192)*ln(2)+120*x^5+210*x^4-460*x^3-1256*x^2-848*x-768)*ln(5)^4+((-40*x^6-96*x^5+96*x^4+448*x^3+768*x^2+768*x)*ln(2)+160*x^6+344*x^5-352*x^4-1728*x^3-2880*x^2-3072*x)*ln(5)^3+((-30*x^7-108*x^6-120*x^5+144*x^4+1120*x^3+1984*x^2+1408*x+768)*ln(2)+120*x^7+402*x^6+444*x^5-528*x^4-4128*x^3-7648*x^2-5440*x-3072)*ln(5)^2+((-12*x^8-72*x^7-208*x^6-224*x^5+448*x^4+1664*x^3+2304*x^2+1536*x)*ln(2)+48*x^8+276*x^7+776*x^6+832*x^5-1664*x^4-6208*x^3-8832*x^2-6144*x)*ln(5)+(-2*x^9-20*x^8-80*x^7-160*x^6-128*x^5+256*x^4+1280*x^3+2560*x^2+2560*x+1024)*ln(2)+8*x^9+78*x^8+300*x^7+568*x^6+432*x^5-864*x^4-4544*x^3-9600*x^2-9984*x-4096)/((x^5+10*x^4+40*x^3+80*x^2+80*x+32)*ln(5)^6+(6*x^6+60*x^5+240*x^4+480*x^3+480*x^2+192*x)*ln(5)^5+(15*x^7+150*x^6+612*x^5+1320*x^4+1680*x^3+1440*x^2+960*x+384)*ln(5)^4+(20*x^8+200*x^7+848*x^6+2080*x^5+3520*x^4+4480*x^3+3840*x^2+1536*x)*ln(5)^3+(15*x^9+150*x^8+672*x^7+1920*x^6+4128*x^5+6720*x^4+7680*x^3+6144*x^2+3840*x+1536)*ln(5)^2+(6*x^10+60*x^9+288*x^8+960*x^7+2496*x^6+4992*x^5+7680*x^4+9216*x^3+7680*x^2+3072*x)*ln(5)+x^11+10*x^10+52*x^9+200*x^8+608*x^7+1472*x^6+2944*x^5+4864*x^4+6400*x^3+6656*x^2+5120*x+2048),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(2 \ln \left(2\right)-8\right) x^{7}+\left(8 \ln \left(2\right) \ln \left(5\right)+16 \ln \left(2\right)-32 \ln \left(5\right)-63\right) x^{6}+\left(12 \ln \left(2\right) \ln \left(5\right)^{2}+48 \ln \left(2\right) \ln \left(5\right)-48 \ln \left(5\right)^{2}+56 \ln \left(2\right)-188 \ln \left(5\right)-216\right) x^{5}+\left(8 \ln \left(2\right) \ln \left(5\right)^{4}-32 \ln \left(5\right)^{4}+64 \ln \left(2\right) \ln \left(5\right)^{2}-256 \ln \left(5\right)^{2}+128 \ln \left(2\right)-512\right) x +\left(8 \ln \left(2\right) \ln \left(5\right)^{3}+56 \ln \left(2\right) \ln \left(5\right)^{2}-32 \ln \left(5\right)^{3}+128 \ln \left(2\right) \ln \left(5\right)-218 \ln \left(5\right)^{2}+128 \ln \left(2\right)-496 \ln \left(5\right)-488\right) x^{4}+\left(2 \ln \left(2\right) \ln \left(5\right)^{4}+32 \ln \left(2\right) \ln \left(5\right)^{3}-8 \ln \left(5\right)^{4}+96 \ln \left(2\right) \ln \left(5\right)^{2}-124 \ln \left(5\right)^{3}+192 \ln \left(2\right) \ln \left(5\right)-376 \ln \left(5\right)^{2}+224 \ln \left(2\right)-752 \ln \left(5\right)-864\right) x^{3}+\left(8 \ln \left(2\right) \ln \left(5\right)^{4}+32 \ln \left(2\right) \ln \left(5\right)^{3}-31 \ln \left(5\right)^{4}+96 \ln \left(2\right) \ln \left(5\right)^{2}-128 \ln \left(5\right)^{3}+128 \ln \left(2\right) \ln \left(5\right)-376 \ln \left(5\right)^{2}+256 \ln \left(2\right)-512 \ln \left(5\right)-1008\right) x^{2}}{\left(2+x \right)^{4} \left(\ln \left(5\right)^{2}+2 x \ln \left(5\right)+x^{2}+4\right)^{2}}$&$296$\\ risch&$\frac{\left(2 \ln \left(2\right)-8\right) x^{7}+\left(8 \ln \left(2\right) \ln \left(5\right)+16 \ln \left(2\right)-32 \ln \left(5\right)-63\right) x^{6}+\left(12 \ln \left(2\right) \ln \left(5\right)^{2}+48 \ln \left(2\right) \ln \left(5\right)-48 \ln \left(5\right)^{2}+56 \ln \left(2\right)-188 \ln \left(5\right)-216\right) x^{5}+\left(8 \ln \left(2\right) \ln \left(5\right)^{4}-32 \ln \left(5\right)^{4}+64 \ln \left(2\right) \ln \left(5\right)^{2}-256 \ln \left(5\right)^{2}+128 \ln \left(2\right)-512\right) x +\left(8 \ln \left(2\right) \ln \left(5\right)^{3}+56 \ln \left(2\right) \ln \left(5\right)^{2}-32 \ln \left(5\right)^{3}+128 \ln \left(2\right) \ln \left(5\right)-218 \ln \left(5\right)^{2}+128 \ln \left(2\right)-496 \ln \left(5\right)-488\right) x^{4}+\left(2 \ln \left(2\right) \ln \left(5\right)^{4}+32 \ln \left(2\right) \ln \left(5\right)^{3}-8 \ln \left(5\right)^{4}+96 \ln \left(2\right) \ln \left(5\right)^{2}-124 \ln \left(5\right)^{3}+192 \ln \left(2\right) \ln \left(5\right)-376 \ln \left(5\right)^{2}+224 \ln \left(2\right)-752 \ln \left(5\right)-864\right) x^{3}+\left(8 \ln \left(2\right) \ln \left(5\right)^{4}+32 \ln \left(2\right) \ln \left(5\right)^{3}-31 \ln \left(5\right)^{4}+96 \ln \left(2\right) \ln \left(5\right)^{2}-128 \ln \left(5\right)^{3}+128 \ln \left(2\right) \ln \left(5\right)-376 \ln \left(5\right)^{2}+256 \ln \left(2\right)-512 \ln \left(5\right)-1008\right) x^{2}}{256+512 x +256 x^{3} \ln \left(5\right)^{2}+48 x^{5} \ln \left(5\right)^{2}+x^{4} \ln \left(5\right)^{4}+6 x^{6} \ln \left(5\right)^{2}+512 x^{2} \ln \left(5\right)+16 \ln \left(5\right)^{4}+32 x^{4} \ln \left(5\right)^{3}+4 x^{5} \ln \left(5\right)^{3}+128 \ln \left(5\right)^{2}+8 x^{7}+x^{8}+224 x^{4}+384 x^{3}+512 x^{2}+32 x^{6}+96 x^{5}+96 x^{3} \ln \left(5\right)^{3}+112 x^{5} \ln \left(5\right)+32 x^{6} \ln \left(5\right)+32 x \ln \left(5\right)^{4}+256 x \ln \left(5\right)+288 x^{2} \ln \left(5\right)^{2}+448 x^{3} \ln \left(5\right)+8 x^{3} \ln \left(5\right)^{4}+4 x^{7} \ln \left(5\right)+64 \ln \left(5\right)^{3} x +24 \ln \left(5\right)^{4} x^{2}+152 x^{4} \ln \left(5\right)^{2}+256 x \ln \left(5\right)^{2}+256 x^{4} \ln \left(5\right)+128 x^{2} \ln \left(5\right)^{3}}$&$502$\\ gosper&$\frac{x \left(-512+192 x^{2} \ln \left(2\right) \ln \left(5\right)-1008 x -218 x^{3} \ln \left(5\right)^{2}+48 x^{4} \ln \left(5\right) \ln \left(2\right)+96 x \ln \left(2\right) \ln \left(5\right)^{2}+128 x \ln \left(2\right) \ln \left(5\right)-752 x^{2} \ln \left(5\right)-32 \ln \left(5\right)^{4}-256 \ln \left(5\right)^{2}+128 \ln \left(2\right)-216 x^{4}-488 x^{3}-864 x^{2}-8 x^{6}-63 x^{5}-32 x^{3} \ln \left(5\right)^{3}-32 x^{5} \ln \left(5\right)-31 x \ln \left(5\right)^{4}+56 x^{4} \ln \left(2\right)+16 x^{5} \ln \left(2\right)+2 x^{6} \ln \left(2\right)-512 x \ln \left(5\right)-376 x^{2} \ln \left(5\right)^{2}-496 x^{3} \ln \left(5\right)+256 x \ln \left(2\right)+224 x^{2} \ln \left(2\right)+128 x^{3} \ln \left(2\right)+8 \ln \left(2\right) \ln \left(5\right)^{4}-128 \ln \left(5\right)^{3} x +64 \ln \left(2\right) \ln \left(5\right)^{2}-8 \ln \left(5\right)^{4} x^{2}-48 x^{4} \ln \left(5\right)^{2}-376 x \ln \left(5\right)^{2}-188 x^{4} \ln \left(5\right)-124 x^{2} \ln \left(5\right)^{3}+2 \ln \left(2\right) \ln \left(5\right)^{4} x^{2}+8 \ln \left(2\right) \ln \left(5\right)^{3} x^{3}+12 \ln \left(2\right) \ln \left(5\right)^{2} x^{4}+8 \ln \left(2\right) \ln \left(5\right) x^{5}+8 \ln \left(2\right) \ln \left(5\right)^{4} x +32 \ln \left(2\right) \ln \left(5\right)^{3} x^{2}+56 \ln \left(2\right) \ln \left(5\right)^{2} x^{3}+32 \ln \left(2\right) \ln \left(5\right)^{3} x +96 \ln \left(2\right) \ln \left(5\right)^{2} x^{2}+128 \ln \left(2\right) \ln \left(5\right) x^{3}\right)}{256+512 x +256 x^{3} \ln \left(5\right)^{2}+48 x^{5} \ln \left(5\right)^{2}+x^{4} \ln \left(5\right)^{4}+6 x^{6} \ln \left(5\right)^{2}+512 x^{2} \ln \left(5\right)+16 \ln \left(5\right)^{4}+32 x^{4} \ln \left(5\right)^{3}+4 x^{5} \ln \left(5\right)^{3}+128 \ln \left(5\right)^{2}+8 x^{7}+x^{8}+224 x^{4}+384 x^{3}+512 x^{2}+32 x^{6}+96 x^{5}+96 x^{3} \ln \left(5\right)^{3}+112 x^{5} \ln \left(5\right)+32 x^{6} \ln \left(5\right)+32 x \ln \left(5\right)^{4}+256 x \ln \left(5\right)+288 x^{2} \ln \left(5\right)^{2}+448 x^{3} \ln \left(5\right)+8 x^{3} \ln \left(5\right)^{4}+4 x^{7} \ln \left(5\right)+64 \ln \left(5\right)^{3} x +24 \ln \left(5\right)^{4} x^{2}+152 x^{4} \ln \left(5\right)^{2}+256 x \ln \left(5\right)^{2}+256 x^{4} \ln \left(5\right)+128 x^{2} \ln \left(5\right)^{3}}$&$576$\\ default&$-\frac{8 \left(4464 \ln \left(5\right)^{8}-11616 \ln \left(5\right)^{7}+24416 \ln \left(5\right)^{6}-39808 \ln \left(5\right)^{5}-48128 \ln \left(5\right)^{3}+53248 \ln \left(5\right)^{4}+34816 \ln \left(5\right)^{2}+\left(-4 \ln \left(2\right) \ln \left(5\right)^{8}+56 \ln \left(2\right) \ln \left(5\right)^{7}+17 \ln \left(5\right)^{8}-400 \ln \left(2\right) \ln \left(5\right)^{6}-228 \ln \left(5\right)^{7}+1792 \ln \left(2\right) \ln \left(5\right)^{5}+1580 \ln \left(5\right)^{6}-5504 \ln \left(2\right) \ln \left(5\right)^{4}-7056 \ln \left(5\right)^{5}+11776 \ln \left(2\right) \ln \left(5\right)^{3}+21600 \ln \left(5\right)^{4}-17408 \ln \left(2\right) \ln \left(5\right)^{2}-46208 \ln \left(5\right)^{3}+16384 \ln \left(2\right) \ln \left(5\right)+68608 \ln \left(5\right)^{2}-8192 \ln \left(2\right)-64512 \ln \left(5\right)+32768\right) x^{3}+\left(-\ln \left(2\right) \ln \left(5\right)^{10}+4 \ln \left(2\right) \ln \left(5\right)^{9}+4 \ln \left(5\right)^{10}+36 \ln \left(2\right) \ln \left(5\right)^{8}-12 \ln \left(5\right)^{9}-496 \ln \left(2\right) \ln \left(5\right)^{7}-168 \ln \left(5\right)^{8}+2720 \ln \left(2\right) \ln \left(5\right)^{6}+1984 \ln \left(5\right)^{7}-9216 \ln \left(2\right) \ln \left(5\right)^{5}-10800 \ln \left(5\right)^{6}+20736 \ln \left(2\right) \ln \left(5\right)^{4}+36480 \ln \left(5\right)^{5}-31744 \ln \left(2\right) \ln \left(5\right)^{3}-82368 \ln \left(5\right)^{4}+30720 \ln \left(2\right) \ln \left(5\right)^{2}+128256 \ln \left(5\right)^{3}-16384 \ln \left(2\right) \ln \left(5\right)-125952 \ln \left(5\right)^{2}+71680 \ln \left(5\right)-4096\right) x^{2}+\left(-2 \ln \left(2\right) \ln \left(5\right)^{11}+20 \ln \left(2\right) \ln \left(5\right)^{10}+8 \ln \left(5\right)^{11}-96 \ln \left(2\right) \ln \left(5\right)^{9}-75 \ln \left(5\right)^{10}+192 \ln \left(2\right) \ln \left(5\right)^{8}+348 \ln \left(5\right)^{9}+288 \ln \left(2\right) \ln \left(5\right)^{7}-720 \ln \left(5\right)^{8}-3520 \ln \left(2\right) \ln \left(5\right)^{6}-1184 \ln \left(5\right)^{7}+13312 \ln \left(2\right) \ln \left(5\right)^{5}+13584 \ln \left(5\right)^{6}-33280 \ln \left(2\right) \ln \left(5\right)^{4}-51136 \ln \left(5\right)^{5}+59392 \ln \left(2\right) \ln \left(5\right)^{3}+129152 \ln \left(5\right)^{4}-77824 \ln \left(2\right) \ln \left(5\right)^{2}-229888 \ln \left(5\right)^{3}+65536 \ln \left(2\right) \ln \left(5\right)+305152 \ln \left(5\right)^{2}-32768 \ln \left(2\right)-258048 \ln \left(5\right)+131072\right) x -80 \ln \left(2\right) \ln \left(5\right)^{10}-\ln \left(2\right) \ln \left(5\right)^{12}+12 \ln \left(2\right) \ln \left(5\right)^{11}+352 \ln \left(2\right) \ln \left(5\right)^{9}+12288 \ln \left(2\right) \ln \left(5\right)^{3}+3008 \ln \left(2\right) \ln \left(5\right)^{7}+10240 \ln \left(2\right) \ln \left(5\right)^{5}-13312 \ln \left(2\right) \ln \left(5\right)^{4}-8192 \ln \left(2\right) \ln \left(5\right)^{2}-6272 \ln \left(2\right) \ln \left(5\right)^{6}-1168 \ln \left(2\right) \ln \left(5\right)^{8}+302 \ln \left(5\right)^{10}-1352 \ln \left(5\right)^{9}+4 \ln \left(5\right)^{12}-46 \ln \left(5\right)^{11}\right)}{\left(\ln \left(5\right)^{2}-4 \ln \left(5\right)+8\right)^{5} \left(\ln \left(5\right)^{2}+2 x \ln \left(5\right)+x^{2}+4\right)^{2}}-\frac{\ln \left(5\right) \left(4 \ln \left(2\right) \ln \left(5\right)^{7}-64 \ln \left(2\right) \ln \left(5\right)^{6}-17 \ln \left(5\right)^{7}+480 \ln \left(2\right) \ln \left(5\right)^{5}+272 \ln \left(5\right)^{6}-2176 \ln \left(2\right) \ln \left(5\right)^{4}-2000 \ln \left(5\right)^{5}+6400 \ln \left(2\right) \ln \left(5\right)^{3}+8960 \ln \left(5\right)^{4}-12288 \ln \left(2\right) \ln \left(5\right)^{2}-26432 \ln \left(5\right)^{3}+14336 \ln \left(2\right) \ln \left(5\right)+50688 \ln \left(5\right)^{2}-8192 \ln \left(2\right)-59904 \ln \left(5\right)+34816\right)}{\left(\ln \left(5\right)^{2}-4 \ln \left(5\right)+8\right)^{4} \left(2+x \right)^{2}}+\frac{2 \ln \left(5\right) \left(\ln \left(2\right) \ln \left(5\right)^{9}-20 \ln \left(2\right) \ln \left(5\right)^{8}-4 \ln \left(5\right)^{9}+184 \ln \left(2\right) \ln \left(5\right)^{7}+80 \ln \left(5\right)^{8}-1056 \ln \left(2\right) \ln \left(5\right)^{6}-732 \ln \left(5\right)^{7}+4160 \ln \left(2\right) \ln \left(5\right)^{5}+4208 \ln \left(5\right)^{6}-11776 \ln \left(2\right) \ln \left(5\right)^{4}-16720 \ln \left(5\right)^{5}+24064 \ln \left(2\right) \ln \left(5\right)^{3}+47552 \ln \left(5\right)^{4}-34816 \ln \left(2\right) \ln \left(5\right)^{2}-97920 \ln \left(5\right)^{3}+32768 \ln \left(2\right) \ln \left(5\right)+142848 \ln \left(5\right)^{2}-16384 \ln \left(2\right)-135168 \ln \left(5\right)+69632\right)}{\left(\ln \left(5\right)^{2}-4 \ln \left(5\right)+8\right)^{5} \left(2+x \right)}+\frac{4 \ln \left(5\right)^{2} \left(\ln \left(5\right)^{2}-8 \ln \left(5\right)+16\right)}{\left(\ln \left(5\right)^{2}-4 \ln \left(5\right)+8\right)^{2} \left(2+x \right)^{4}}-\frac{4 \ln \left(5\right)^{2} \left(\ln \left(5\right)^{4}-12 \ln \left(5\right)^{3}+48 \ln \left(5\right)^{2}-96 \ln \left(5\right)+128\right)}{\left(\ln \left(5\right)^{2}-4 \ln \left(5\right)+8\right)^{3} \left(2+x \right)^{3}}$&$952$\\ \hline \end{longtable}"," ",0,"((2*ln(2)-8)*x^7+(8*ln(2)*ln(5)+16*ln(2)-32*ln(5)-63)*x^6+(12*ln(2)*ln(5)^2+48*ln(2)*ln(5)-48*ln(5)^2+56*ln(2)-188*ln(5)-216)*x^5+(8*ln(2)*ln(5)^4-32*ln(5)^4+64*ln(2)*ln(5)^2-256*ln(5)^2+128*ln(2)-512)*x+(8*ln(2)*ln(5)^3+56*ln(2)*ln(5)^2-32*ln(5)^3+128*ln(2)*ln(5)-218*ln(5)^2+128*ln(2)-496*ln(5)-488)*x^4+(2*ln(2)*ln(5)^4+32*ln(2)*ln(5)^3-8*ln(5)^4+96*ln(2)*ln(5)^2-124*ln(5)^3+192*ln(2)*ln(5)-376*ln(5)^2+224*ln(2)-752*ln(5)-864)*x^3+(8*ln(2)*ln(5)^4+32*ln(2)*ln(5)^3-31*ln(5)^4+96*ln(2)*ln(5)^2-128*ln(5)^3+128*ln(2)*ln(5)-376*ln(5)^2+256*ln(2)-512*ln(5)-1008)*x^2)/(2+x)^4/(ln(5)^2+2*x*ln(5)+x^2+4)^2","B"
1186,1,32,27,0.040000," ","int((112*x^4-256*x^3+12*x^2)*ln(2*ln(2))/(16*x^6-224*x^5+1040*x^4-1800*x^3+1080*x^2-64*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-4 \ln \left(\ln \left(2\right)\right)-4 \ln \left(2\right)\right) x^{3}}{4 x^{3}-28 x^{2}+32 x -1}$&$32$\\ default&$\frac{4 \ln \left(2 \ln \left(2\right)\right) \left(-\frac{7}{4} x^{2}+2 x -\frac{1}{16}\right)}{x^{3}-7 x^{2}+8 x -\frac{1}{4}}$&$33$\\ risch&$\frac{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) \left(-7 x^{2}+8 x -\frac{1}{4}\right)}{x^{3}-7 x^{2}+8 x -\frac{1}{4}}$&$33$\\ gosper&$-\frac{\left(28 x^{2}-32 x +1\right) \ln \left(2 \ln \left(2\right)\right)}{4 x^{3}-28 x^{2}+32 x -1}$&$35$\\ \hline \end{longtable}"," ",0,"(-4*ln(ln(2))-4*ln(2))*x^3/(4*x^3-28*x^2+32*x-1)","A"
1187,1,31,22,0.090000," ","int(((-12*x+4)*ln(3/(3*x-1))+12*x+24)/((3*x^3+11*x^2+8*x-4)*ln(3/(3*x-1))^2+(18*x^2+30*x-12)*ln(3/(3*x-1))+27*x-9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4}{\ln \left(\frac{3}{3 x -1}\right) x +2 \ln \left(\frac{3}{3 x -1}\right)+3}$&$31$\\ risch&$\frac{4}{\ln \left(\frac{3}{3 x -1}\right) x +2 \ln \left(\frac{3}{3 x -1}\right)+3}$&$31$\\ \hline \end{longtable}"," ",0,"4/(ln(3/(3*x-1))*x+2*ln(3/(3*x-1))+3)","A"
1188,1,18,20,0.085000," ","int(((-2*x+2)*exp(ln(4*x^2)-2*x)*exp(exp(ln(4*x^2)-2*x))+2*x^2-3*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-3 x +{\mathrm e}^{4 x^{2} {\mathrm e}^{-2 x}}$&$18$\\ default&$x^{2}-3 x +{\mathrm e}^{{\mathrm e}^{\ln \left(4 x^{2}\right)-2 x}}$&$20$\\ norman&$x^{2}-3 x +{\mathrm e}^{{\mathrm e}^{\ln \left(4 x^{2}\right)-2 x}}$&$20$\\ \hline \end{longtable}"," ",0,"x^2-3*x+exp(4*x^2*exp(-2*x))","A"
1189,0,0,22,0.011000," ","int(((ln(x^2)+(x^2+4*x-1)*ln(5))*ln(ln(x^2)+(x^2+4*x-1)*ln(5))+(-2*x^2-4*x)*ln(5)-2)/(x*ln(x^2)+(x^3+4*x^2-x)*ln(5))/ln(ln(x^2)+(x^2+4*x-1)*ln(5)),x)","\[\int \frac{\left(\ln \left(x^{2}\right)+\left(x^{2}+4 x -1\right) \ln \left(5\right)\right) \ln \left(\ln \left(x^{2}\right)+\left(x^{2}+4 x -1\right) \ln \left(5\right)\right)+\left(-2 x^{2}-4 x \right) \ln \left(5\right)-2}{\left(x \ln \left(x^{2}\right)+\left(x^{3}+4 x^{2}-x \right) \ln \left(5\right)\right) \ln \left(\ln \left(x^{2}\right)+\left(x^{2}+4 x -1\right) \ln \left(5\right)\right)}\, dx\]"," ",0,"int(((ln(x^2)+(x^2+4*x-1)*ln(5))*ln(ln(x^2)+(x^2+4*x-1)*ln(5))+(-2*x^2-4*x)*ln(5)-2)/(x*ln(x^2)+(x^3+4*x^2-x)*ln(5))/ln(ln(x^2)+(x^2+4*x-1)*ln(5)),x)","F"
1190,1,9,11,0.013000," ","int(1/3*(5*x-3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5 x}{3}-\ln \left(x \right)$&$9$\\ norman&$\frac{5 x}{3}-\ln \left(x \right)$&$9$\\ risch&$\frac{5 x}{3}-\ln \left(x \right)$&$9$\\ \hline \end{longtable}"," ",0,"5/3*x-ln(x)","A"
1191,1,39,22,0.025000," ","int((4*x^3*ln(2)^2+(-24*x^3-36*x^2)*ln(2)+36*x^3+108*x^2+72*x)/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(x^{2} \ln \left(2\right)^{2}-6 x^{2} \ln \left(2\right)-12 x \ln \left(2\right)+9 x^{2}+36 x +36\right) x^{2}}{\ln \left(2\right)^{2}}$&$39$\\ default&$\frac{x^{4} \ln \left(2\right)^{2}+\ln \left(2\right) \left(-6 x^{4}-12 x^{3}\right)+9 x^{4}+36 x^{3}+36 x^{2}}{\ln \left(2\right)^{2}}$&$44$\\ norman&$\frac{\frac{\left(\ln \left(2\right)^{2}-6 \ln \left(2\right)+9\right) x^{4}}{\ln \left(2\right)}+\frac{36 x^{2}}{\ln \left(2\right)}-\frac{12 \left(\ln \left(2\right)-3\right) x^{3}}{\ln \left(2\right)}}{\ln \left(2\right)}$&$47$\\ risch&$x^{4}-\frac{6 x^{4}}{\ln \left(2\right)}+\frac{9 x^{4}}{\ln \left(2\right)^{2}}-\frac{12 x^{3}}{\ln \left(2\right)}+\frac{36 x^{3}}{\ln \left(2\right)^{2}}+\frac{36 x^{2}}{\ln \left(2\right)^{2}}$&$50$\\ \hline \end{longtable}"," ",0,"(x^2*ln(2)^2-6*x^2*ln(2)-12*x*ln(2)+9*x^2+36*x+36)*x^2/ln(2)^2","A"
1192,1,100,42,0.043000," ","int(16*exp(x)^4+(-48*exp(5)-72)*exp(x)^3+(48*exp(5)^2+144*exp(5)+16*exp(1)-48*x+84)*exp(x)^2+(-16*exp(5)^3-72*exp(5)^2+(-16*exp(1)+48*x-60)*exp(5)-24*exp(1)+72*x+18)*exp(x)-24*exp(5)^2-72*exp(5)-24*exp(1)+72*x-54,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{4 x}-16 \,{\mathrm e}^{3 x} {\mathrm e}^{5}-24 \,{\mathrm e}^{3 x}+\left(24 \,{\mathrm e}^{10}+72 \,{\mathrm e}^{5}+8 \,{\mathrm e}-24 x +54\right) {\mathrm e}^{2 x}+\left(-16 \,{\mathrm e}^{15}-72 \,{\mathrm e}^{10}-16 \,{\mathrm e}^{6}+48 x \,{\mathrm e}^{5}-108 \,{\mathrm e}^{5}-24 \,{\mathrm e}+72 x -54\right) {\mathrm e}^{x}-24 x \,{\mathrm e}^{10}-72 x \,{\mathrm e}^{5}-24 x \,{\mathrm e}+36 x^{2}-54 x$&$100$\\ norman&$\left(-16 \,{\mathrm e}^{5}-24\right) {\mathrm e}^{3 x}+\left(54+24 \,{\mathrm e}^{10}+72 \,{\mathrm e}^{5}+8 \,{\mathrm e}\right) {\mathrm e}^{2 x}+\left(-24 \,{\mathrm e}^{10}-72 \,{\mathrm e}^{5}-24 \,{\mathrm e}-54\right) x +\left(-54-108 \,{\mathrm e}^{5}-16 \,{\mathrm e}^{15}-72 \,{\mathrm e}^{10}-16 \,{\mathrm e} \,{\mathrm e}^{5}-24 \,{\mathrm e}\right) {\mathrm e}^{x}+\left(48 \,{\mathrm e}^{5}+72\right) x \,{\mathrm e}^{x}+36 x^{2}+4 \,{\mathrm e}^{4 x}-24 x \,{\mathrm e}^{2 x}$&$111$\\ default&$-54 x +\frac{\left(-48 \,{\mathrm e}^{5}-72\right) {\mathrm e}^{3 x}}{3}+54 \,{\mathrm e}^{2 x}-24 x \,{\mathrm e}^{2 x}+8 \,{\mathrm e} \,{\mathrm e}^{2 x}+72 \,{\mathrm e}^{5} {\mathrm e}^{2 x}+24 \,{\mathrm e}^{10} {\mathrm e}^{2 x}+72 \,{\mathrm e}^{x} x -54 \,{\mathrm e}^{x}-24 \,{\mathrm e} \,{\mathrm e}^{x}-60 \,{\mathrm e}^{5} {\mathrm e}^{x}-72 \,{\mathrm e}^{10} {\mathrm e}^{x}-16 \,{\mathrm e}^{15} {\mathrm e}^{x}+48 \,{\mathrm e}^{5} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)-16 \,{\mathrm e}^{5} {\mathrm e}^{x} {\mathrm e}+36 x^{2}-24 x \,{\mathrm e}^{10}+4 \,{\mathrm e}^{4 x}-24 x \,{\mathrm e}-72 x \,{\mathrm e}^{5}$&$142$\\ \hline \end{longtable}"," ",0,"4*exp(4*x)-16*exp(3*x)*exp(5)-24*exp(3*x)+(24*exp(10)+72*exp(5)+8*exp(1)-24*x+54)*exp(2*x)+(-16*exp(15)-72*exp(10)-16*exp(6)+48*x*exp(5)-108*exp(5)-24*exp(1)+72*x-54)*exp(x)-24*x*exp(10)-72*x*exp(5)-24*x*exp(1)+36*x^2-54*x","B"
1193,1,16,23,0.063000," ","int((4*x^2*exp(1)*exp(x)+4*exp(1)^2)/(exp(x)^2*x^2-2*x*exp(1)*exp(x)+exp(1)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 x \,{\mathrm e}}{-{\mathrm e}^{x} x +{\mathrm e}}$&$16$\\ risch&$\frac{4 x \,{\mathrm e}}{-{\mathrm e}^{x} x +{\mathrm e}}$&$16$\\ \hline \end{longtable}"," ",0,"4*x*exp(1)/(-exp(x)*x+exp(1))","A"
1194,1,38,24,0.056000," ","int(((-25*x^3-300*x^2-1200*x-1600)*exp(x)+8*x^6+108*x^5+660*x^4+2480*x^3+4800*x^2+6400*x)/(25*x^3+300*x^2+1200*x+1600),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{7168}{25 \left(4+x \right)}+\frac{8192}{25 \left(4+x \right)^{2}}-\frac{192 x}{25}+\frac{66 x^{2}}{25}+\frac{4 x^{3}}{25}+\frac{2 x^{4}}{25}-{\mathrm e}^{x}$&$38$\\ risch&$\frac{2 x^{4}}{25}+\frac{4 x^{3}}{25}+\frac{66 x^{2}}{25}-\frac{192 x}{25}+\frac{-\frac{7168 x}{25}-\frac{4096}{5}}{x^{2}+8 x +16}-{\mathrm e}^{x}$&$40$\\ norman&$\frac{-256 x +16 x^{3}+\frac{26 x^{4}}{5}+\frac{4 x^{5}}{5}+\frac{2 x^{6}}{25}-8 \,{\mathrm e}^{x} x -{\mathrm e}^{x} x^{2}-16 \,{\mathrm e}^{x}-512}{\left(4+x \right)^{2}}$&$48$\\ \hline \end{longtable}"," ",0,"-7168/25/(4+x)+8192/25/(4+x)^2-192/25*x+66/25*x^2+4/25*x^3+2/25*x^4-exp(x)","A"
1195,0,0,29,0.023000," ","int(((-2*x^3+8*x^2)*ln(3)*ln(-x^2+4*x)*ln(ln(-x^2+4*x))^2+(-3*x^2+12*x)*ln(3)*ln(-x^2+4*x)*ln(ln(-x^2+4*x))+(6*x^2-22*x+20)*ln(3))/(x^2-4*x)/ln(-x^2+4*x)/ln(ln(-x^2+4*x))^2,x)","\[\int \frac{\left(-2 x^{3}+8 x^{2}\right) \ln \left(3\right) \ln \left(-x^{2}+4 x \right) \ln \left(\ln \left(-x^{2}+4 x \right)\right)^{2}+\left(-3 x^{2}+12 x \right) \ln \left(3\right) \ln \left(-x^{2}+4 x \right) \ln \left(\ln \left(-x^{2}+4 x \right)\right)+\left(6 x^{2}-22 x +20\right) \ln \left(3\right)}{\left(x^{2}-4 x \right) \ln \left(-x^{2}+4 x \right) \ln \left(\ln \left(-x^{2}+4 x \right)\right)^{2}}\, dx\]"," ",0,"int(((-2*x^3+8*x^2)*ln(3)*ln(-x^2+4*x)*ln(ln(-x^2+4*x))^2+(-3*x^2+12*x)*ln(3)*ln(-x^2+4*x)*ln(ln(-x^2+4*x))+(6*x^2-22*x+20)*ln(3))/(x^2-4*x)/ln(-x^2+4*x)/ln(ln(-x^2+4*x))^2,x)","F"
1196,1,7,13,0.019000," ","int(2*exp(3)^2*exp(5)^2/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{16} \ln \left(x \right)$&$7$\\ default&$2 \,{\mathrm e}^{6} {\mathrm e}^{10} \ln \left(x \right)$&$13$\\ norman&$2 \,{\mathrm e}^{6} {\mathrm e}^{10} \ln \left(x \right)$&$13$\\ \hline \end{longtable}"," ",0,"2*exp(16)*ln(x)","A"
1197,1,24,25,0.284000," ","int((-16*x*exp(8)*ln(x^2)+(32*x+64)*exp(8)+8*x^4+30*x^3+24*x^2-8*x)*exp((8*exp(8)*ln(x^2)+2*x^3+3*x^2-2*x)/(2+x))/(x^3+4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \left(x^{2}\right)^{\frac{8 \,{\mathrm e}^{8}}{2+x}} {\mathrm e}^{x \left(2 x -1\right)}$&$24$\\ default&$\frac{2 x \,{\mathrm e}^{\frac{8 \,{\mathrm e}^{8} \ln \left(x^{2}\right)+2 x^{3}+3 x^{2}-2 x}{2+x}}+4 \,{\mathrm e}^{\frac{8 \,{\mathrm e}^{8} \ln \left(x^{2}\right)+2 x^{3}+3 x^{2}-2 x}{2+x}}}{2+x}$&$71$\\ norman&$\frac{2 x \,{\mathrm e}^{\frac{8 \,{\mathrm e}^{8} \ln \left(x^{2}\right)+2 x^{3}+3 x^{2}-2 x}{2+x}}+4 \,{\mathrm e}^{\frac{8 \,{\mathrm e}^{8} \ln \left(x^{2}\right)+2 x^{3}+3 x^{2}-2 x}{2+x}}}{2+x}$&$71$\\ \hline \end{longtable}"," ",0,"2*(x^2)^(8*exp(8)/(2+x))*exp(x*(2*x-1))","A"
1198,1,20,19,0.033000," ","int((-2*x^4*ln(4+exp(3))-3*x^3*exp(-3*x)+x^3-2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{-3 x}+\frac{1}{x^{2}}-\ln \left(4+{\mathrm e}^{3}\right) x^{2}+x$&$20$\\ default&${\mathrm e}^{-3 x}+\frac{1}{x^{2}}-\ln \left(4+{\mathrm e}^{3}\right) x^{2}+x$&$20$\\ risch&${\mathrm e}^{-3 x}+\frac{1}{x^{2}}-\ln \left(4+{\mathrm e}^{3}\right) x^{2}+x$&$20$\\ norman&$\frac{1+x^{3}+x^{2} {\mathrm e}^{-3 x}-x^{4} \ln \left(4+{\mathrm e}^{3}\right)}{x^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"exp(-3*x)+1/x^2-ln(4+exp(3))*x^2+x","A"
1199,1,36,29,0.047000," ","int(((((4*x^2+10*x)*exp(x)-4*x^3-10*x^2)*ln(5+2*x)*ln(-5*exp(x)+5*x)+((-4*x^3-10*x^2)*exp(x)+6*x^4+13*x^3-5*x^2)*ln(5+2*x)+2*exp(x)-2*x)*exp(x^2*ln(-5*exp(x)+5*x)-x^3)+((10*x+25)*exp(x)-10*x^2-25*x)*ln(5+2*x)+10*exp(x)*x-10*x^2)/((5+2*x)*exp(x)-2*x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x \ln \left(5+2 x \right)+\ln \left(5+2 x \right) \left(-5 \,{\mathrm e}^{x}+5 x \right)^{x^{2}} {\mathrm e}^{-x^{3}}$&$36$\\ \hline \end{longtable}"," ",0,"5*x*ln(5+2*x)+ln(5+2*x)*(-5*exp(x)+5*x)^(x^2)*exp(-x^3)","A"
1200,1,25,33,0.247000," ","int(((144*x^2-1)*ln(2)-144*x^4+48*x^3-3*x^2)/(36*x^3*ln(2)+36*x^5)/exp(ln((-ln(2)-x^2)/x)+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-2} \left(-4 x^{2}+\frac{2}{3} x -\frac{1}{36}\right)}{x \left(\ln \left(2\right)+x^{2}\right)}$&$25$\\ gosper&$-\frac{\left(12 x -1\right)^{2} {\mathrm e}^{-2}}{36 x \left(\ln \left(2\right)+x^{2}\right)}$&$30$\\ norman&$\frac{\frac{2 x^{2} {\mathrm e}^{-2}}{3}-\frac{x \,{\mathrm e}^{-2}}{36}-4 \,{\mathrm e}^{-2} x^{3}}{x^{2} \left(\ln \left(2\right)+x^{2}\right)}$&$39$\\ default&$\frac{{\mathrm e}^{-2} \left(-\frac{\left(144 \ln \left(2\right)-1\right) x -24 \ln \left(2\right)}{\ln \left(2\right) \left(\ln \left(2\right)+x^{2}\right)}-\frac{1}{x \ln \left(2\right)}\right)}{36}$&$42$\\ meijerg&$-\frac{{\mathrm e}^{-2} \left(-\ln \left(2\right)-x^{2}\right)^{x -1} \left(-\ln \left(2\right)\right)^{-x} \left(\frac{\Gamma \left(3+x \right) x^{2} \hypergeom \left(\left[1, 1, 3+x \right], \left[2, 3\right], -\frac{x^{2}}{\ln \left(2\right)}\right)}{2 \ln \left(2\right)}-\left(\Psi \left(2+x \right)+\gamma -1+2 \ln \left(x \right)-\ln \left(\ln \left(2\right)\right)\right) \Gamma \left(2+x \right)-\frac{\Gamma \left(x +1\right) \ln \left(2\right)}{x^{2}}\right)}{72 \ln \left(2\right) \Gamma \left(x \right)}-\frac{{\mathrm e}^{-2} \left(-\ln \left(2\right)-x^{2}\right)^{x -1} \left(-\ln \left(2\right)\right)^{-x} \left(-\frac{\Gamma \left(2+x \right) x^{2} \hypergeom \left(\left[1, 1, 2+x \right], \left[2, 2\right], -\frac{x^{2}}{\ln \left(2\right)}\right)}{\ln \left(2\right)}+\left(\Psi \left(x +1\right)+\gamma +2 \ln \left(x \right)-\ln \left(\ln \left(2\right)\right)\right) \Gamma \left(x +1\right)\right)}{24 \ln \left(2\right) \Gamma \left(x \right)}+\frac{2 \,{\mathrm e}^{-2} \left(-\ln \left(2\right)-x^{2}\right)^{x -1} \left(-\ln \left(2\right)\right)^{-x} \left(-\frac{\Gamma \left(2+x \right) x^{2} \hypergeom \left(\left[1, 1, 2+x \right], \left[2, 2\right], -\frac{x^{2}}{\ln \left(2\right)}\right)}{\ln \left(2\right)}+\left(\Psi \left(x +1\right)+\gamma +2 \ln \left(x \right)-\ln \left(\ln \left(2\right)\right)\right) \Gamma \left(x +1\right)\right)}{\Gamma \left(x \right)}-\frac{2 \,{\mathrm e}^{-2} \left(-\ln \left(2\right)-x^{2}\right)^{x -1} \left(-\ln \left(2\right)\right)^{-x} x^{3} \hypergeom \left(\left[1, x +1\right], \left[2\right], -\frac{x^{2}}{\ln \left(2\right)}\right)}{\ln \left(2\right)}+\frac{4 \,{\mathrm e}^{-2} \left(-\ln \left(2\right)-x^{2}\right)^{x -1} \left(-\ln \left(2\right)\right)^{-x} x^{2} \hypergeom \left(\left[\frac{1}{2}, x +1\right], \left[\frac{3}{2}\right], -\frac{x^{2}}{\ln \left(2\right)}\right)}{3 \ln \left(2\right)}$&$372$\\ \hline \end{longtable}"," ",0,"exp(-2)*(-4*x^2+2/3*x-1/36)/x/(ln(2)+x^2)","A"
1201,1,186,26,0.181000," ","int(((-4*exp(x)*x+4*x)*exp(exp(x)-x-25)^2-2)/x/ln(exp(-exp(exp(x)-x-25)^2+4)/x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{\left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{2 \,{\mathrm e}^{x}-2 x -50}+4}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-{\mathrm e}^{2 \,{\mathrm e}^{x}-2 x -50}+4}}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-{\mathrm e}^{2 \,{\mathrm e}^{x}-2 x -50}+4}}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{2 \,{\mathrm e}^{x}-2 x -50}+4}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-{\mathrm e}^{2 \,{\mathrm e}^{x}-2 x -50}+4}}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-{\mathrm e}^{2 \,{\mathrm e}^{x}-2 x -50}+4}}{x}\right)^{3}-2 i \ln \left(x \right)+2 i \ln \left({\mathrm e}^{-{\mathrm e}^{2 \,{\mathrm e}^{x}-2 x -50}+4}\right)\right)^{2}}$&$186$\\ \hline \end{longtable}"," ",0,"4/(Pi*csgn(I/x)*csgn(I*exp(-exp(2*exp(x)-2*x-50)+4))*csgn(I/x*exp(-exp(2*exp(x)-2*x-50)+4))-Pi*csgn(I/x)*csgn(I/x*exp(-exp(2*exp(x)-2*x-50)+4))^2-Pi*csgn(I*exp(-exp(2*exp(x)-2*x-50)+4))*csgn(I/x*exp(-exp(2*exp(x)-2*x-50)+4))^2+Pi*csgn(I/x*exp(-exp(2*exp(x)-2*x-50)+4))^3-2*I*ln(x)+2*I*ln(exp(-exp(2*exp(x)-2*x-50)+4)))^2","C"
1202,1,25,24,0.192000," ","int(((2*x^2+2*x-4)*exp(5)*ln(2+x)-exp(5)-18*x^3+78*x^2+141*x-174)/(2+x)/exp(x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-48+9 x -\ln \left(2+x \right) {\mathrm e}^{5}\right) {\mathrm e}^{-x^{2}+2 x}$&$25$\\ risch&$-\ln \left(2+x \right) {\mathrm e}^{-x^{2}+2 x +5}+3 \left(3 x -16\right) {\mathrm e}^{-\left(x -2\right) x}$&$33$\\ \hline \end{longtable}"," ",0,"(-48+9*x-ln(2+x)*exp(5))/exp(x^2-2*x)","A"
1203,1,13,22,0.204000," ","int((-2*x-5)/(2*x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\ln \left(2 x +3\right)$&$13$\\ norman&$-x -\ln \left(2 x +3\right)$&$13$\\ meijerg&$-\ln \left(1+\frac{2 x}{3}\right)-x$&$13$\\ risch&$-x -\ln \left(2 x +3\right)$&$13$\\ \hline \end{longtable}"," ",0,"-x-ln(2*x+3)","A"
1204,1,40,22,0.103000," ","int(((x^2-2*x)*exp(2/3)^2*ln(x)^2+(-2*x^3+4*x^2-2*x)*exp(2/3)^2*ln(x)+(x^4-2*x^3+3*x^2-x)*exp(2/3)^2)/((5*x^2-10*x+5)*ln(x)^2+(-10*x^3+20*x^2-20*x+10)*ln(x)+5*x^4-10*x^3+15*x^2-10*x+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{{\mathrm e}^{\frac{4}{3}} x^{3}}{5}-\frac{{\mathrm e}^{\frac{4}{3}} x^{2} \ln \left(x \right)}{5}}{x^{2}-x \ln \left(x \right)-x +\ln \left(x \right)+1}$&$40$\\ risch&$\frac{{\mathrm e}^{\frac{4}{3}} \left(x^{2}-x +1\right)}{5 x -5}-\frac{{\mathrm e}^{\frac{4}{3}} x^{2}}{5 \left(x -1\right) \left(x^{2}-x \ln \left(x \right)-x +\ln \left(x \right)+1\right)}$&$48$\\ \hline \end{longtable}"," ",0,"(1/5*exp(2/3)^2*x^3-1/5*exp(2/3)^2*x^2*ln(x))/(x^2-x*ln(x)-x+ln(x)+1)","A"
1205,1,21,19,0.053000," ","int(((8*x^4+24*x^3+8*x^2)*exp(4+x)+8*x)*exp((x^2+x)*exp(4+x)+4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 x^{2} {\mathrm e}^{2 \left(x^{2}+x \right) {\mathrm e}^{4+x}+8}$&$21$\\ risch&$4 x^{2} {\mathrm e}^{2 x^{2} {\mathrm e}^{4+x}+2 x \,{\mathrm e}^{4+x}+8}$&$25$\\ \hline \end{longtable}"," ",0,"4*x^2*exp((x^2+x)*exp(4+x)+4)^2","A"
1206,1,158,19,0.108000," ","int((((12*ln(3)-24)*ln(x)+6*ln(3)-12)*ln(x^2*ln(x))+(-3*ln(3)+6)*ln(x))*exp(ln(x^2*ln(x))^2)/x^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \left(\ln \left(3\right)-2\right) {\mathrm e}^{\frac{\left(-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \ln \left(x \right)\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)-i \pi  \mathrm{csgn}\left(i x^{2} \ln \left(x \right)\right)^{3}+i \pi  \mathrm{csgn}\left(i x^{2} \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)+4 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)\right)^{2}}{4}}}{x}$&$158$\\ \hline \end{longtable}"," ",0,"3*(ln(3)-2)/x*exp(1/4*(-I*Pi*csgn(I*x^2)^3+2*I*Pi*csgn(I*x^2)^2*csgn(I*x)-I*Pi*csgn(I*x^2)*csgn(I*x)^2+I*Pi*csgn(I*x^2)*csgn(I*x^2*ln(x))^2-I*Pi*csgn(I*x^2)*csgn(I*x^2*ln(x))*csgn(I*ln(x))-I*Pi*csgn(I*x^2*ln(x))^3+I*Pi*csgn(I*x^2*ln(x))^2*csgn(I*ln(x))+4*ln(x)+2*ln(ln(x)))^2)","C"
1207,1,55,24,0.222000," ","int(((50*x^4-20*x^3+27*x^2-25*x+1)*exp((5*x^3-x^2+3)/(5*x-1))*ln(x)+((50*x^4-20*x^3+27*x^2-25*x+1)*exp(16)+25*x^2-10*x+1)*exp((5*x^3-x^2+3)/(5*x-1)))/(125*x^2-50*x+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{\frac{5 x^{3}-x^{2}+3}{5 x -1}} \ln \left(x \right)}{5}+\frac{x \,{\mathrm e}^{\frac{5 x^{3}-x^{2}+80 x -13}{5 x -1}}}{5}$&$55$\\ norman&$\frac{x^{2} {\mathrm e}^{16} {\mathrm e}^{\frac{5 x^{3}-x^{2}+3}{5 x -1}}+x^{2} {\mathrm e}^{\frac{5 x^{3}-x^{2}+3}{5 x -1}} \ln \left(x \right)-\frac{x \,{\mathrm e}^{16} {\mathrm e}^{\frac{5 x^{3}-x^{2}+3}{5 x -1}}}{5}-\frac{x \,{\mathrm e}^{\frac{5 x^{3}-x^{2}+3}{5 x -1}} \ln \left(x \right)}{5}}{5 x -1}$&$116$\\ \hline \end{longtable}"," ",0,"1/5*x*exp((5*x^3-x^2+3)/(5*x-1))*ln(x)+1/5*x*exp((5*x^3-x^2+80*x-13)/(5*x-1))","B"
1208,1,17,21,0.082000," ","int((x^2+2)*exp(3)^4*exp((-x*ln(x)-x^2+2)/x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-\frac{x^{2}-12 x -2}{x}}$&$17$\\ gosper&$-x \,{\mathrm e}^{12} {\mathrm e}^{-\frac{x \ln \left(x \right)+x^{2}-2}{x}}$&$23$\\ norman&$-x \,{\mathrm e}^{12} {\mathrm e}^{\frac{-x \ln \left(x \right)-x^{2}+2}{x}}$&$25$\\ \hline \end{longtable}"," ",0,"-exp(-(x^2-12*x-2)/x)","A"
1209,1,24,24,0.284000," ","int((5*exp(4)+770*exp(1)-3)/((5*x-405)*exp(4)+(10*x^2-850*x+3240)*exp(1)-3*x+243),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(10 x \,{\mathrm e}-40 \,{\mathrm e}+5 \,{\mathrm e}^{4}-3\right)+\ln \left(x -81\right)$&$24$\\ risch&$-\ln \left(10 x \,{\mathrm e}-40 \,{\mathrm e}+5 \,{\mathrm e}^{4}-3\right)+\ln \left(81-x \right)$&$26$\\ default&$\left(5 \,{\mathrm e}^{4}+770 \,{\mathrm e}-3\right) \left(\frac{\ln \left(x -81\right)}{5 \,{\mathrm e}^{4}+770 \,{\mathrm e}-3}-\frac{\ln \left(10 x \,{\mathrm e}-40 \,{\mathrm e}+5 \,{\mathrm e}^{4}-3\right)}{5 \,{\mathrm e}^{4}+770 \,{\mathrm e}-3}\right)$&$60$\\ \hline \end{longtable}"," ",0,"-ln(10*x*exp(1)-40*exp(1)+5*exp(4)-3)+ln(x-81)","A"
1210,1,324,27,0.221000," ","int((((-36*x^5+540*x^4-2880*x^3+5760*x^2-4*x-9220)*exp(5)^2*ln(x)^3+(-108*x^6+1620*x^5-8640*x^4+17280*x^3-12*x^2-27660*x)*exp(5)^2*ln(x)^2+(-108*x^7+1620*x^6-8640*x^5+17280*x^4-12*x^3-27660*x^2)*exp(5)^2*ln(x)+(-36*x^8+540*x^7-2880*x^6+5760*x^5-4*x^4-9220*x^3)*exp(5)^2)*ln(9*x^4-144*x^3+864*x^2-2304*x+2305)^4+((-144*x^4+1728*x^3-6912*x^2+9216*x)*exp(5)^2*ln(x)^4+(-576*x^5+6912*x^4-27648*x^3+36864*x^2)*exp(5)^2*ln(x)^3+((-108*x^5+1620*x^4-8640*x^3+17280*x^2-12*x-27660)*exp(5)^4+(-864*x^6+10368*x^5-41472*x^4+55296*x^3)*exp(5)^2)*ln(x)^2+((-216*x^6+3240*x^5-17280*x^4+34560*x^3-24*x^2-55320*x)*exp(5)^4+(-576*x^7+6912*x^6-27648*x^5+36864*x^4)*exp(5)^2)*ln(x)+(-108*x^7+1620*x^6-8640*x^5+17280*x^4-12*x^3-27660*x^2)*exp(5)^4+(-144*x^8+1728*x^7-6912*x^6+9216*x^5)*exp(5)^2)*ln(9*x^4-144*x^3+864*x^2-2304*x+2305)^3+((-432*x^4+5184*x^3-20736*x^2+27648*x)*exp(5)^4*ln(x)^3+(-1296*x^5+15552*x^4-62208*x^3+82944*x^2)*exp(5)^4*ln(x)^2+((-108*x^5+1620*x^4-8640*x^3+17280*x^2-12*x-27660)*exp(5)^6+(-1296*x^6+15552*x^5-62208*x^4+82944*x^3)*exp(5)^4)*ln(x)+(-108*x^6+1620*x^5-8640*x^4+17280*x^3-12*x^2-27660*x)*exp(5)^6+(-432*x^7+5184*x^6-20736*x^5+27648*x^4)*exp(5)^4)*ln(9*x^4-144*x^3+864*x^2-2304*x+2305)^2+((-432*x^4+5184*x^3-20736*x^2+27648*x)*exp(5)^6*ln(x)^2+(-864*x^5+10368*x^4-41472*x^3+55296*x^2)*exp(5)^6*ln(x)+(-36*x^5+540*x^4-2880*x^3+5760*x^2-4*x-9220)*exp(5)^8+(-432*x^6+5184*x^5-20736*x^4+27648*x^3)*exp(5)^6)*ln(9*x^4-144*x^3+864*x^2-2304*x+2305)+(-144*x^4+1728*x^3-6912*x^2+9216*x)*exp(5)^8*ln(x)+(-144*x^5+1728*x^4-6912*x^3+9216*x^2)*exp(5)^8)/((9*x^5-144*x^4+864*x^3-2304*x^2+2305*x)*ln(x)^5+(45*x^6-720*x^5+4320*x^4-11520*x^3+11525*x^2)*ln(x)^4+(90*x^7-1440*x^6+8640*x^5-23040*x^4+23050*x^3)*ln(x)^3+(90*x^8-1440*x^7+8640*x^6-23040*x^5+23050*x^4)*ln(x)^2+(45*x^9-720*x^8+4320*x^7-11520*x^6+11525*x^5)*ln(x)+9*x^10-144*x^9+864*x^8-2304*x^7+2305*x^6)/ln(9*x^4-144*x^3+864*x^2-2304*x+2305)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{10} \left({\mathrm e}^{30}+4 x \ln \left(9 x^{4}-144 x^{3}+864 x^{2}-2304 x +2305\right) {\mathrm e}^{20}+4 \ln \left(9 x^{4}-144 x^{3}+864 x^{2}-2304 x +2305\right) \ln \left(x \right) {\mathrm e}^{20}+6 \,{\mathrm e}^{10} \ln \left(9 x^{4}-144 x^{3}+864 x^{2}-2304 x +2305\right)^{2} x^{2}+12 \,{\mathrm e}^{10} \ln \left(x \right) \ln \left(9 x^{4}-144 x^{3}+864 x^{2}-2304 x +2305\right)^{2} x +6 \,{\mathrm e}^{10} \ln \left(x \right)^{2} \ln \left(9 x^{4}-144 x^{3}+864 x^{2}-2304 x +2305\right)^{2}+4 \ln \left(9 x^{4}-144 x^{3}+864 x^{2}-2304 x +2305\right)^{3} x^{3}+12 \ln \left(x \right) \ln \left(9 x^{4}-144 x^{3}+864 x^{2}-2304 x +2305\right)^{3} x^{2}+12 \ln \left(x \right)^{2} \ln \left(9 x^{4}-144 x^{3}+864 x^{2}-2304 x +2305\right)^{3} x +4 \ln \left(x \right)^{3} \ln \left(9 x^{4}-144 x^{3}+864 x^{2}-2304 x +2305\right)^{3}\right)}{\left(x^{4}+4 x^{3} \ln \left(x \right)+6 x^{2} \ln \left(x \right)^{2}+4 x \ln \left(x \right)^{3}+\ln \left(x \right)^{4}\right) \ln \left(9 x^{4}-144 x^{3}+864 x^{2}-2304 x +2305\right)^{4}}$&$324$\\ \hline \end{longtable}"," ",0,"exp(10)*(exp(30)+4*x*ln(9*x^4-144*x^3+864*x^2-2304*x+2305)*exp(20)+4*ln(9*x^4-144*x^3+864*x^2-2304*x+2305)*ln(x)*exp(20)+6*exp(10)*ln(9*x^4-144*x^3+864*x^2-2304*x+2305)^2*x^2+12*exp(10)*ln(x)*ln(9*x^4-144*x^3+864*x^2-2304*x+2305)^2*x+6*exp(10)*ln(x)^2*ln(9*x^4-144*x^3+864*x^2-2304*x+2305)^2+4*ln(9*x^4-144*x^3+864*x^2-2304*x+2305)^3*x^3+12*ln(x)*ln(9*x^4-144*x^3+864*x^2-2304*x+2305)^3*x^2+12*ln(x)^2*ln(9*x^4-144*x^3+864*x^2-2304*x+2305)^3*x+4*ln(x)^3*ln(9*x^4-144*x^3+864*x^2-2304*x+2305)^3)/(x^4+4*x^3*ln(x)+6*x^2*ln(x)^2+4*x*ln(x)^3+ln(x)^4)/ln(9*x^4-144*x^3+864*x^2-2304*x+2305)^4","B"
1211,1,17,23,0.019000," ","int(((2*x^3+2*x^2)*exp(x)^2+(4*x^2+4*x)*exp(x)+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)+4 \,{\mathrm e}^{x} x +{\mathrm e}^{2 x} x^{2}$&$17$\\ norman&$\ln \left(x \right)+4 \,{\mathrm e}^{x} x +{\mathrm e}^{2 x} x^{2}$&$17$\\ risch&$\ln \left(x \right)+4 \,{\mathrm e}^{x} x +{\mathrm e}^{2 x} x^{2}$&$17$\\ \hline \end{longtable}"," ",0,"ln(x)+4*exp(x)*x+exp(x)^2*x^2","A"
1212,1,120,34,0.374000," ","int((((16*x+40)*exp(5/x)-16*x^5+160*x^4-4000*x^2+10000*x)*exp((2*exp(5/x)+2*x^4-40*x^3+301*x^2-1000*x+1250)/(exp(5/x)+x^4-20*x^3+150*x^2-500*x+625))^2+((-32*x-80)*exp(5/x)+32*x^5-320*x^4+8000*x^2-20000*x)*exp((2*exp(5/x)+2*x^4-40*x^3+301*x^2-1000*x+1250)/(exp(5/x)+x^4-20*x^3+150*x^2-500*x+625))+exp(5/x)^2+(2*x^4-40*x^3+300*x^2-1000*x+1250)*exp(5/x)+x^8-40*x^7+700*x^6-7000*x^5+43750*x^4-175000*x^3+437500*x^2-625000*x+390625)/(exp(5/x)^2+(2*x^4-40*x^3+300*x^2-1000*x+1250)*exp(5/x)+x^8-40*x^7+700*x^6-7000*x^5+43750*x^4-175000*x^3+437500*x^2-625000*x+390625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{\frac{4 \,{\mathrm e}^{\frac{5}{x}}+4 x^{4}-80 x^{3}+602 x^{2}-2000 x +2500}{{\mathrm e}^{\frac{5}{x}}+x^{4}-20 x^{3}+150 x^{2}-500 x +625}}+x -16 \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{\frac{5}{x}}+2 x^{4}-40 x^{3}+301 x^{2}-1000 x +1250}{{\mathrm e}^{\frac{5}{x}}+x^{4}-20 x^{3}+150 x^{2}-500 x +625}}$&$120$\\ \hline \end{longtable}"," ",0,"4*exp(2*(2*exp(5/x)+2*x^4-40*x^3+301*x^2-1000*x+1250)/(exp(5/x)+x^4-20*x^3+150*x^2-500*x+625))+x-16*exp((2*exp(5/x)+2*x^4-40*x^3+301*x^2-1000*x+1250)/(exp(5/x)+x^4-20*x^3+150*x^2-500*x+625))","B"
1213,1,53,28,0.092000," ","int((((-8*x^3+6*x^2-4*x-1)*exp(x)^4+(8*x^4-4*x^3+2*x^2+4*x)*exp(x)^2-22*x^4+22*x^3-28*x^2+10*x-5)*ln(x)+(-2*x^2+x-1)*exp(x)^4+(4*x^3-2*x^2+2*x)*exp(x)^2-22*x^4+21*x^3-26*x^2+10*x-5)/(20*x^4-20*x^3+25*x^2-10*x+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(4 x \,{\mathrm e}^{4 x}-8 \,{\mathrm e}^{2 x} x^{2}+44 x^{3}-22 x^{2}+21 x -1\right) \ln \left(x \right)}{20 \left(2 x^{2}-x +1\right)}-\frac{\ln \left(x \right)}{20}$&$53$\\ \hline \end{longtable}"," ",0,"-1/20*(4*x*exp(4*x)-8*exp(2*x)*x^2+44*x^3-22*x^2+21*x-1)/(2*x^2-x+1)*ln(x)-1/20*ln(x)","A"
1214,1,214,24,0.144000," ","int((((2*x^2+6)*exp(-9*exp(x)^2+25)+(2*x^2+6)*ln(x))*ln(exp(-9*exp(x)^2+25)^2+2*ln(x)*exp(-9*exp(x)^2+25)+ln(x)^2)+(-72*x^3+216*x)*exp(x)^2*exp(-9*exp(x)^2+25)+4*x^2-12)/(x^2*exp(-9*exp(x)^2+25)+x^2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \left(x^{2}-3\right) \ln \left(\ln \left(x \right)+{\mathrm e}^{-9 \,{\mathrm e}^{2 x}+25}\right)}{x}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)+{\mathrm e}^{-9 \,{\mathrm e}^{2 x}+25}\right)^{2}\right) \left(x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)+{\mathrm e}^{-9 \,{\mathrm e}^{2 x}+25}\right)\right)^{2}-2 x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)+{\mathrm e}^{-9 \,{\mathrm e}^{2 x}+25}\right)\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+{\mathrm e}^{-9 \,{\mathrm e}^{2 x}+25}\right)^{2}\right)+x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)+{\mathrm e}^{-9 \,{\mathrm e}^{2 x}+25}\right)^{2}\right)^{2}-3 \mathrm{csgn}\left(i \left(\ln \left(x \right)+{\mathrm e}^{-9 \,{\mathrm e}^{2 x}+25}\right)\right)^{2}+6 \,\mathrm{csgn}\left(i \left(\ln \left(x \right)+{\mathrm e}^{-9 \,{\mathrm e}^{2 x}+25}\right)^{2}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+{\mathrm e}^{-9 \,{\mathrm e}^{2 x}+25}\right)\right)-3 \mathrm{csgn}\left(i \left(\ln \left(x \right)+{\mathrm e}^{-9 \,{\mathrm e}^{2 x}+25}\right)^{2}\right)^{2}\right)}{x}$&$214$\\ \hline \end{longtable}"," ",0,"4*(x^2-3)/x*ln(ln(x)+exp(-9*exp(2*x)+25))-I*Pi*csgn(I*(ln(x)+exp(-9*exp(2*x)+25))^2)*(x^2*csgn(I*(ln(x)+exp(-9*exp(2*x)+25)))^2-2*x^2*csgn(I*(ln(x)+exp(-9*exp(2*x)+25)))*csgn(I*(ln(x)+exp(-9*exp(2*x)+25))^2)+x^2*csgn(I*(ln(x)+exp(-9*exp(2*x)+25))^2)^2-3*csgn(I*(ln(x)+exp(-9*exp(2*x)+25)))^2+6*csgn(I*(ln(x)+exp(-9*exp(2*x)+25))^2)*csgn(I*(ln(x)+exp(-9*exp(2*x)+25)))-3*csgn(I*(ln(x)+exp(-9*exp(2*x)+25))^2)^2)/x","C"
1215,1,26,25,0.089000," ","int(((16*x^2*exp(4)-16*x^2-112)*exp((x^2-x-7)/x)-25*x^2*exp(4))/(16*x^2*exp((x^2-x-7)/x)-25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \,{\mathrm e}^{4}-\ln \left(16 \,{\mathrm e}^{\frac{x^{2}-x -7}{x}}-25\right)$&$26$\\ risch&$x \,{\mathrm e}^{4}-x +\frac{7}{x}+\frac{x^{2}-x -7}{x}-\ln \left({\mathrm e}^{\frac{x^{2}-x -7}{x}}-\frac{25}{16}\right)$&$44$\\ \hline \end{longtable}"," ",0,"x*exp(4)-ln(16*exp((x^2-x-7)/x)-25)","A"
1216,1,16,25,0.124000," ","int(((-2*ln(x)-1)*exp(ln(x)^2)-2*x)/(x^2*exp(4)*exp(ln(x)^2)^2+2*x^3*exp(4)*exp(ln(x)^2)+x^4*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-4}}{x \left(x +{\mathrm e}^{\ln \left(x \right)^{2}}\right)}$&$16$\\ \hline \end{longtable}"," ",0,"1/x*exp(-4)/(x+exp(ln(x)^2))","A"
1217,1,101,25,0.056000," ","int((4*x^4+4*x^3)*exp(x)^4+((-4*x^3-6*x^2)*exp(1)-4*x^5-14*x^4-4*x^3-6*x^2-12*x)*exp(x)^2+2*x*exp(1)^2+(8*x^3+6*x^2-4*x+6)*exp(1)+6*x^5+10*x^4-4*x^3+12*x^2+14*x-6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{6}+x^{4} {\mathrm e}^{4 x}+\left(2 \,{\mathrm e}-1\right) x^{4}+\left(2 \,{\mathrm e}+4\right) x^{3}+\left(6 \,{\mathrm e}-6\right) x +\left({\mathrm e}^{2}-2 \,{\mathrm e}+7\right) x^{2}+\left(-2 \,{\mathrm e}+2\right) x^{3} {\mathrm e}^{2 x}+2 x^{5}-2 x^{5} {\mathrm e}^{2 x}-6 \,{\mathrm e}^{2 x} x^{2}-2 \,{\mathrm e}^{2 x} x^{4}$&$101$\\ risch&$x^{4} {\mathrm e}^{4 x}+\left(-2 x^{5}-2 x^{3} {\mathrm e}-2 x^{4}+2 x^{3}-6 x^{2}\right) {\mathrm e}^{2 x}+x^{2} {\mathrm e}^{2}+2 x^{4} {\mathrm e}+2 x^{3} {\mathrm e}-2 x^{2} {\mathrm e}+6 x \,{\mathrm e}+x^{6}+2 x^{5}-x^{4}+4 x^{3}+7 x^{2}-6 x$&$101$\\ default&$-6 x -2 \,{\mathrm e}^{2 x} x^{4}+2 \,{\mathrm e}^{2 x} x^{3}-6 \,{\mathrm e}^{2 x} x^{2}-2 x^{5} {\mathrm e}^{2 x}-6 \,{\mathrm e} \left(\frac{{\mathrm e}^{2 x} x^{2}}{2}-\frac{x \,{\mathrm e}^{2 x}}{2}+\frac{{\mathrm e}^{2 x}}{4}\right)-4 \,{\mathrm e} \left(\frac{{\mathrm e}^{2 x} x^{3}}{2}-\frac{3 \,{\mathrm e}^{2 x} x^{2}}{4}+\frac{3 x \,{\mathrm e}^{2 x}}{4}-\frac{3 \,{\mathrm e}^{2 x}}{8}\right)+x^{4} {\mathrm e}^{4 x}+{\mathrm e} \left(2 x^{4}+2 x^{3}-2 x^{2}+6 x \right)+7 x^{2}+4 x^{3}-x^{4}+2 x^{5}+x^{6}+x^{2} {\mathrm e}^{2}$&$165$\\ \hline \end{longtable}"," ",0,"x^6+x^4*exp(x)^4+(2*exp(1)-1)*x^4+(2*exp(1)+4)*x^3+(6*exp(1)-6)*x+(exp(1)^2-2*exp(1)+7)*x^2+(-2*exp(1)+2)*x^3*exp(x)^2+2*x^5-2*x^5*exp(x)^2-6*exp(x)^2*x^2-2*exp(x)^2*x^4","B"
1218,1,19,24,0.016000," ","int((2*x-11)*exp(x^2-11*x+25)+18*x+12,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$12 x +{\mathrm e}^{x^{2}-11 x +25}+9 x^{2}$&$19$\\ norman&$12 x +{\mathrm e}^{x^{2}-11 x +25}+9 x^{2}$&$19$\\ risch&$12 x +{\mathrm e}^{x^{2}-11 x +25}+9 x^{2}$&$19$\\ \hline \end{longtable}"," ",0,"12*x+exp(x^2-11*x+25)+9*x^2","A"
1219,1,22,20,0.043000," ","int(((-ln(x)*ln(ln(x))-ln(x)*exp(exp(x))+5*x*ln(x))*ln(ln(ln(x))+exp(exp(x))-5*x)+ln(x)*ln(ln(x))+(exp(x)*x+1)*ln(x)*exp(exp(x))-10*x*ln(x)+1)/(x^2*ln(x)*ln(ln(x))+x^2*ln(x)*exp(exp(x))-5*x^3*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(\ln \left(x \right)\right)+{\mathrm e}^{{\mathrm e}^{x}}-5 x \right)}{x}-\frac{1}{x}$&$22$\\ \hline \end{longtable}"," ",0,"1/x*ln(ln(ln(x))+exp(exp(x))-5*x)-1/x","A"
1220,1,130,21,0.078000," ","int(((3*x^2*ln(x)+6*x*ln(2))*ln(x^2*ln(x)+2*x*ln(2))^2+2*x*ln(x)+x+2*ln(2))/(x^2*ln(x)+2*x*ln(2))/ln(x^2*ln(x)+2*x*ln(2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x -\frac{2 i}{\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\frac{x \ln \left(x \right)}{2}+\ln \left(2\right)\right)\right) \mathrm{csgn}\left(i x \left(\frac{x \ln \left(x \right)}{2}+\ln \left(2\right)\right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\frac{x \ln \left(x \right)}{2}+\ln \left(2\right)\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\frac{x \ln \left(x \right)}{2}+\ln \left(2\right)\right)\right) \mathrm{csgn}\left(i x \left(\frac{x \ln \left(x \right)}{2}+\ln \left(2\right)\right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \left(\frac{x \ln \left(x \right)}{2}+\ln \left(2\right)\right)\right)^{3}+2 i \ln \left(x \right)+2 i \ln \left(\frac{x \ln \left(x \right)}{2}+\ln \left(2\right)\right)}$&$130$\\ \hline \end{longtable}"," ",0,"3*x-2*I/(Pi*csgn(I*x)*csgn(I*(1/2*x*ln(x)+ln(2)))*csgn(I*x*(1/2*x*ln(x)+ln(2)))-Pi*csgn(I*x)*csgn(I*x*(1/2*x*ln(x)+ln(2)))^2-Pi*csgn(I*(1/2*x*ln(x)+ln(2)))*csgn(I*x*(1/2*x*ln(x)+ln(2)))^2+Pi*csgn(I*x*(1/2*x*ln(x)+ln(2)))^3+2*I*ln(x)+2*I*ln(1/2*x*ln(x)+ln(2)))","C"
1221,1,11,15,0.010000," ","int(-4*x^3-6*x^2-2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x^{2} \left(x +1\right)^{2}$&$11$\\ default&$-x^{4}-2 x^{3}-x^{2}$&$17$\\ norman&$-x^{4}-2 x^{3}-x^{2}$&$17$\\ risch&$-x^{4}-2 x^{3}-x^{2}$&$17$\\ \hline \end{longtable}"," ",0,"-x^2*(x+1)^2","A"
1222,1,43,30,0.707000," ","int((((10*x-70)*ln(5)-30*x+180)*exp(x)+(2*x^2-24*x+72)*ln(5)^2+(-12*x^2+132*x-360)*ln(5)+18*x^2-180*x+450)*exp(((-2*x+12)*ln(5)+6*x-30)/(5*exp(x)+(x^2-6*x)*ln(5)-3*x^2+15*x))/(25*exp(x)^2+((10*x^2-60*x)*ln(5)-30*x^2+150*x)*exp(x)+(x^4-12*x^3+36*x^2)*ln(5)^2+(-6*x^4+66*x^3-180*x^2)*ln(5)+9*x^4-90*x^3+225*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 \left(x \ln \left(5\right)-6 \ln \left(5\right)-3 x +15\right)}{x^{2} \ln \left(5\right)-6 x \ln \left(5\right)-3 x^{2}+5 \,{\mathrm e}^{x}+15 x}}$&$43$\\ norman&$\frac{\left(-6 \ln \left(5\right)+15\right) x \,{\mathrm e}^{\frac{\left(-2 x +12\right) \ln \left(5\right)+6 x -30}{5 \,{\mathrm e}^{x}+\left(x^{2}-6 x \right) \ln \left(5\right)-3 x^{2}+15 x}}+\left(\ln \left(5\right)-3\right) x^{2} {\mathrm e}^{\frac{\left(-2 x +12\right) \ln \left(5\right)+6 x -30}{5 \,{\mathrm e}^{x}+\left(x^{2}-6 x \right) \ln \left(5\right)-3 x^{2}+15 x}}+5 \,{\mathrm e}^{x} {\mathrm e}^{\frac{\left(-2 x +12\right) \ln \left(5\right)+6 x -30}{5 \,{\mathrm e}^{x}+\left(x^{2}-6 x \right) \ln \left(5\right)-3 x^{2}+15 x}}}{x^{2} \ln \left(5\right)-6 x \ln \left(5\right)-3 x^{2}+5 \,{\mathrm e}^{x}+15 x}$&$169$\\ \hline \end{longtable}"," ",0,"exp(-2*(x*ln(5)-6*ln(5)-3*x+15)/(x^2*ln(5)-6*x*ln(5)-3*x^2+5*exp(x)+15*x))","A"
1223,1,64,25,0.043000," ","int(((16*x-32)*ln(2-x)^2+(-288*x^3+576*x^2+10336*x-20736)*ln(2-x)-3888*x^5-54432*x^4-155808*x^3+556416*x^2+1669324*x-3359384)/((16*x-32)*ln(2-x)^4+(576*x^3+5760*x^2+6912*x-41472)*ln(2-x)^3+(7776*x^5+171072*x^4+1306368*x^3+3359232*x^2-3359080*x-20155696)*ln(2-x)^2+(46656*x^7+1586304*x^6+21835008*x^5+151165440*x^4+503887536*x^3+362824416*x^2-2176749504*x-4353761664)*ln(2-x)+104976*x^9+4828896*x^8+95738112*x^7+1058158080*x^6+6983855640*x^5+26665854480*x^4+45714497472*x^3-39176763264*x^2-293870933783*x-352670651858),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x}{324 x^{4}+72 \ln \left(2-x \right) x^{2}+7776 x^{3}+4 \ln \left(2-x \right)^{2}+864 x \ln \left(2-x \right)+69984 x^{2}+2592 \ln \left(2-x \right)+279936 x +419923}$&$64$\\ \hline \end{longtable}"," ",0,"4*x/(324*x^4+72*ln(2-x)*x^2+7776*x^3+4*ln(2-x)^2+864*x*ln(2-x)+69984*x^2+2592*ln(2-x)+279936*x+419923)","B"
1224,1,14,22,0.013000," ","int((-250*x^2+74*x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-125 x^{2}+74 x -\ln \left(x \right)$&$14$\\ norman&$-125 x^{2}+74 x -\ln \left(x \right)$&$14$\\ risch&$-125 x^{2}+74 x -\ln \left(x \right)$&$14$\\ \hline \end{longtable}"," ",0,"-125*x^2+74*x-ln(x)","A"
1225,1,95,31,0.102000," ","int((-2*x^2*ln(x)^4+((-4*x^7-4*x^6-16*x^5-32*x^4)*exp(x)^2+(-12*x^6-12*x^5-48*x^4-144*x^3)*exp(x)-140*x^2+16)*ln(x)^3+((4*x^11+6*x^10+16*x^9+32*x^8)*exp(x)^4+(36*x^10+60*x^9+144*x^8+336*x^7)*exp(x)^3+(108*x^9+216*x^8+432*x^7+1290*x^6-24*x^4)*exp(x)^2+(108*x^8+324*x^7+432*x^6+2124*x^5-144*x^3)*exp(x)+162*x^6+1242*x^4-216*x^2)*ln(x)^2+((2*x^10+8*x^8)*exp(x)^4+(24*x^9+96*x^7)*exp(x)^3+(108*x^8+432*x^6)*exp(x)^2+(216*x^7+864*x^5)*exp(x)+162*x^6+648*x^4)*ln(x))/(9*x^5+72*x^3+144*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{4}}{9 x^{2}+36}-\frac{2 x^{2} \left({\mathrm e}^{2 x} x^{2}+6 \,{\mathrm e}^{x} x +9\right) \ln \left(x \right)^{3}}{9 \left(x^{2}+4\right)}+\frac{\left(x^{4} {\mathrm e}^{4 x}+12 x^{3} {\mathrm e}^{3 x}+54 \,{\mathrm e}^{2 x} x^{2}+108 \,{\mathrm e}^{x} x +81\right) x^{4} \ln \left(x \right)^{2}}{9 x^{2}+36}$&$95$\\ \hline \end{longtable}"," ",0,"1/9/(x^2+4)*ln(x)^4-2/9*x^2*(exp(2*x)*x^2+6*exp(x)*x+9)/(x^2+4)*ln(x)^3+1/9*(x^4*exp(4*x)+12*x^3*exp(3*x)+54*exp(2*x)*x^2+108*exp(x)*x+81)*x^4/(x^2+4)*ln(x)^2","B"
1226,1,177,30,0.125000," ","int(((-3*ln(x)+(-3*x-3)*exp(x))*ln(exp(x)*x^2)-15*ln(x)^2+(-30*exp(x)+3*x+36)*ln(x)-15*exp(x)^2+(-3*x^2+3*x+36)*exp(x)-6*x-21)/(x^2*ln(x)^2+(2*exp(x)*x^2-2*x^2)*ln(x)+exp(x)^2*x^2-2*exp(x)*x^2+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \ln \left({\mathrm e}^{x}\right)}{x \left(-1+\ln \left(x \right)+{\mathrm e}^{x}\right)}+\frac{-\frac{3 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}}{2}+3 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-\frac{3 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-\frac{3 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{x}\right)}{2}+\frac{3 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{x}\right)^{2}}{2}+\frac{3 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{x}\right)^{2}}{2}-\frac{3 i \pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{x}\right)^{3}}{2}+3 x +15 \,{\mathrm e}^{x}+21 \ln \left(x \right)-15}{x \left(-1+\ln \left(x \right)+{\mathrm e}^{x}\right)}$&$177$\\ \hline \end{longtable}"," ",0,"3/x/(-1+ln(x)+exp(x))*ln(exp(x))+3/2*(-I*Pi*csgn(I*x^2)*csgn(I*x)^2+2*I*Pi*csgn(I*x^2)^2*csgn(I*x)-I*Pi*csgn(I*x^2)^3-I*Pi*csgn(I*x^2)*csgn(I*exp(x))*csgn(I*x^2*exp(x))+I*Pi*csgn(I*x^2)*csgn(I*x^2*exp(x))^2+I*Pi*csgn(I*exp(x))*csgn(I*x^2*exp(x))^2-I*Pi*csgn(I*x^2*exp(x))^3+2*x+10*exp(x)+14*ln(x)-10)/x/(-1+ln(x)+exp(x))","C"
1227,1,15,16,0.033000," ","int(16*exp(x)^2*exp(4*exp(x)^2)*exp(2*exp(4*exp(x)^2))-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +{\mathrm e}^{2 \,{\mathrm e}^{4 \,{\mathrm e}^{2 x}}}$&$15$\\ norman&$-x +{\mathrm e}^{2 \,{\mathrm e}^{4 \,{\mathrm e}^{2 x}}}$&$15$\\ risch&$-x +{\mathrm e}^{2 \,{\mathrm e}^{4 \,{\mathrm e}^{2 x}}}$&$15$\\ derivativedivides&$-\ln \left({\mathrm e}^{x}\right)+{\mathrm e}^{2 \,{\mathrm e}^{4 \,{\mathrm e}^{2 x}}}$&$17$\\ \hline \end{longtable}"," ",0,"-x+exp(2*exp(4*exp(x)^2))","A"
1228,1,35,24,0.217000," ","int((-114*exp(16)*ln(2)^2+228*x*exp(16)*ln(2)+(-114*x^2+600)*exp(16))*exp((2*exp(16)*ln(2)-2*x*exp(16))/((19*x+5)*ln(2)-19*x^2-5*x-100))/((361*x^2+190*x+25)*ln(2)^2+(-722*x^3-380*x^2-3850*x-1000)*ln(2)+361*x^4+190*x^3+3825*x^2+1000*x+10000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$3 \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{16} \left(\ln \left(2\right)-x \right)}{19 x \ln \left(2\right)-19 x^{2}+5 \ln \left(2\right)-5 x -100}}$&$35$\\ risch&$3 \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{16} \left(\ln \left(2\right)-x \right)}{19 x \ln \left(2\right)-19 x^{2}+5 \ln \left(2\right)-5 x -100}}$&$35$\\ norman&$\frac{\left(15 \ln \left(2\right)-300\right) {\mathrm e}^{\frac{2 \,{\mathrm e}^{16} \ln \left(2\right)-2 x \,{\mathrm e}^{16}}{\left(19 x +5\right) \ln \left(2\right)-19 x^{2}-5 x -100}}+\left(57 \ln \left(2\right)-15\right) x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{16} \ln \left(2\right)-2 x \,{\mathrm e}^{16}}{\left(19 x +5\right) \ln \left(2\right)-19 x^{2}-5 x -100}}-57 x^{2} {\mathrm e}^{\frac{2 \,{\mathrm e}^{16} \ln \left(2\right)-2 x \,{\mathrm e}^{16}}{\left(19 x +5\right) \ln \left(2\right)-19 x^{2}-5 x -100}}}{19 x \ln \left(2\right)-19 x^{2}+5 \ln \left(2\right)-5 x -100}$&$146$\\ \hline \end{longtable}"," ",0,"3*exp(2*exp(16)*(ln(2)-x)/(19*x*ln(2)-19*x^2+5*ln(2)-5*x-100))","A"
1229,1,20,18,0.089000," ","int(1/15*(-16*ln(5/2/x)^2-32*ln(5/2/x)+(24*x-24)*exp(x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{16 \ln \left(\frac{5}{2 x}\right)^{2}}{15}+\frac{8 \,{\mathrm e}^{x}}{5}}{x}$&$20$\\ default&$\frac{16 \ln \left(\frac{5}{2 x}\right)^{2}}{15 x}+\frac{8 \,{\mathrm e}^{x}}{5 x}$&$22$\\ risch&$\frac{16 \ln \left(x \right)^{2}}{15 x}+\frac{16 \left(2 \ln \left(2\right)-2 \ln \left(5\right)\right) \ln \left(x \right)}{15 x}+\frac{\frac{16 \ln \left(2\right)^{2}}{15}-\frac{32 \ln \left(2\right) \ln \left(5\right)}{15}+\frac{16 \ln \left(5\right)^{2}}{15}+\frac{8 \,{\mathrm e}^{x}}{5}}{x}$&$55$\\ \hline \end{longtable}"," ",0,"(16/15*ln(5/2/x)^2+8/5*exp(x))/x","A"
1230,1,18,16,0.207000," ","int(((-x^2+1)*ln(x^6-2*x^4+x^2)+6*x^2-2)/(x^4-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(x^{6}-2 x^{4}+x^{2}\right)}{x}$&$18$\\ norman&$\frac{\ln \left(x^{6}-2 x^{4}+x^{2}\right)}{x}$&$18$\\ risch&$\frac{\ln \left(x^{6}-2 x^{4}+x^{2}\right)}{x}$&$18$\\ \hline \end{longtable}"," ",0,"1/x*ln(x^6-2*x^4+x^2)","A"
1231,1,70,19,0.054000," ","int((-exp(7)*exp(x)^8+(-4*x^4+84*x^3-660*x^2+2300*x-3000)*exp(7)*exp(x)^4)/((x^2+4*x+4)*exp(x)^8+(-2*x^5+36*x^4-220*x^3+400*x^2+750*x-2500)*exp(x)^4+x^8-40*x^7+700*x^6-7000*x^5+43750*x^4-175000*x^3+437500*x^2-625000*x+390625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{7}}{2+x}-\frac{{\mathrm e}^{7} \left(x^{4}-20 x^{3}+150 x^{2}-500 x +625\right)}{\left(2+x \right) \left(-x \,{\mathrm e}^{4 x}+x^{4}-2 \,{\mathrm e}^{4 x}-20 x^{3}+150 x^{2}-500 x +625\right)}$&$70$\\ \hline \end{longtable}"," ",0,"exp(7)/(2+x)-exp(7)*(x^4-20*x^3+150*x^2-500*x+625)/(2+x)/(-x*exp(4*x)+x^4-2*exp(4*x)-20*x^3+150*x^2-500*x+625)","B"
1232,1,3,2,0.008000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
1233,1,25,21,0.050000," ","int(1/3*(2*x*ln(x^4/ln(3)^2)*ln(ln(x^4/ln(3)^2))+(-6*x+18)*ln(x^4/ln(3)^2)+4*x)/ln(x^4/ln(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$6 x -x^{2}+\frac{x^{2} \ln \left(\ln \left(\frac{x^{4}}{\ln \left(3\right)^{2}}\right)\right)}{3}$&$25$\\ \hline \end{longtable}"," ",0,"6*x-x^2+1/3*x^2*ln(ln(x^4/ln(3)^2))","A"
1234,1,50,27,0.092000," ","int(((((-30*x+5)*exp(x)-25*x^2)*exp(5*x)-5*exp(x)*x^2-5*x^2)*ln(x)+((-150*x+30)*exp(x)-125*x^2+5*x)*exp(5*x)+(-25*x^2+5*x)*exp(x)-20*x^2)/((4*exp(x)^2+8*exp(x)*x+4*x^2)*exp(5*x)^2+(8*x*exp(x)^2+16*exp(x)*x^2+8*x^3)*exp(5*x)+4*exp(x)^2*x^2+8*exp(x)*x^3+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x \ln \left(x \right)}{4 \left(x \,{\mathrm e}^{5 x}+{\mathrm e}^{6 x}+x^{2}+{\mathrm e}^{x} x \right)}+\frac{25 x}{4 \left(x \,{\mathrm e}^{5 x}+{\mathrm e}^{6 x}+x^{2}+{\mathrm e}^{x} x \right)}$&$50$\\ \hline \end{longtable}"," ",0,"5/4*x/(x*exp(5*x)+exp(6*x)+x^2+exp(x)*x)*ln(x)+25/4/(x*exp(5*x)+exp(6*x)+x^2+exp(x)*x)*x","A"
1235,1,21,29,0.090000," ","int((72*x+144)*exp((-6*ln(2)+(36*x^2+144*x+145)*exp(5)-36*x^2-144*x-145)/(exp(5)-1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{1}{64}\right)^{\frac{1}{{\mathrm e}^{5}-1}} {\mathrm e}^{36 x^{2}+144 x +145}$&$21$\\ norman&${\mathrm e}^{\frac{-6 \ln \left(2\right)+\left(36 x^{2}+144 x +145\right) {\mathrm e}^{5}-36 x^{2}-144 x -145}{{\mathrm e}^{5}-1}}$&$36$\\ gosper&${\mathrm e}^{\frac{36 x^{2} {\mathrm e}^{5}+144 x \,{\mathrm e}^{5}-36 x^{2}+145 \,{\mathrm e}^{5}-6 \ln \left(2\right)-144 x -145}{{\mathrm e}^{5}-1}}$&$39$\\ default&$72 \,2^{-\frac{6}{{\mathrm e}^{5}-1}} \left(\frac{{\mathrm e}^{\left(\frac{36 \,{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{36}{{\mathrm e}^{5}-1}\right) x^{2}+\left(\frac{144 \,{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{144}{{\mathrm e}^{5}-1}\right) x +\frac{145 \,{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{145}{{\mathrm e}^{5}-1}}}{\frac{72 \,{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{72}{{\mathrm e}^{5}-1}}+\frac{i \left(\frac{144 \,{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{144}{{\mathrm e}^{5}-1}\right) \sqrt{\pi}\, {\mathrm e}^{\frac{145 \,{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{145}{{\mathrm e}^{5}-1}-\frac{\left(\frac{144 \,{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{144}{{\mathrm e}^{5}-1}\right)^{2}}{4 \left(\frac{36 \,{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{36}{{\mathrm e}^{5}-1}\right)}} \erf \left(6 i \sqrt{\frac{{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{1}{{\mathrm e}^{5}-1}}\, x +\frac{i \left(\frac{144 \,{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{144}{{\mathrm e}^{5}-1}\right)}{12 \sqrt{\frac{{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{1}{{\mathrm e}^{5}-1}}}\right)}{24 \left(\frac{36 \,{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{36}{{\mathrm e}^{5}-1}\right) \sqrt{\frac{{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{1}{{\mathrm e}^{5}-1}}}\right)-\frac{12 i 2^{-\frac{6}{{\mathrm e}^{5}-1}} \sqrt{\pi}\, {\mathrm e}^{\frac{145 \,{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{145}{{\mathrm e}^{5}-1}-\frac{\left(\frac{144 \,{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{144}{{\mathrm e}^{5}-1}\right)^{2}}{4 \left(\frac{36 \,{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{36}{{\mathrm e}^{5}-1}\right)}} \erf \left(6 i \sqrt{\frac{{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{1}{{\mathrm e}^{5}-1}}\, x +\frac{i \left(\frac{144 \,{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{144}{{\mathrm e}^{5}-1}\right)}{12 \sqrt{\frac{{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{1}{{\mathrm e}^{5}-1}}}\right)}{\sqrt{\frac{{\mathrm e}^{5}}{{\mathrm e}^{5}-1}-\frac{1}{{\mathrm e}^{5}-1}}}$&$468$\\ \hline \end{longtable}"," ",0,"(1/64)^(1/(exp(5)-1))*exp(36*x^2+144*x+145)","A"
1236,1,18,27,0.136000," ","int((8*exp(2)+288*x^2-768*x)/((x^2-8*x+16)*exp(2)^2+(24*x^4-192*x^3+384*x^2)*exp(2)+144*x^6-1152*x^5+2304*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{8}{\left(x -4\right) \left(12 x^{2}+{\mathrm e}^{2}\right)}$&$18$\\ gosper&$-\frac{8}{12 x^{3}+{\mathrm e}^{2} x -48 x^{2}-4 \,{\mathrm e}^{2}}$&$24$\\ risch&$-\frac{8}{12 x^{3}+{\mathrm e}^{2} x -48 x^{2}-4 \,{\mathrm e}^{2}}$&$24$\\ default&$-\frac{8 \left(576 \,{\mathrm e}^{4}+{\mathrm e}^{6}+110592 \,{\mathrm e}^{2}+7077888\right)}{\left(36864+384 \,{\mathrm e}^{2}+{\mathrm e}^{4}\right)^{2} \left(x -4\right)}+\frac{-\frac{96 \left(-\frac{{\mathrm e}^{-2} \left(221184 \,{\mathrm e}^{4}+{\mathrm e}^{2} {\mathrm e}^{6}+576 \,{\mathrm e}^{2} {\mathrm e}^{4}+14155776 \,{\mathrm e}^{2}+576 \,{\mathrm e}^{6}+{\mathrm e}^{8}\right) x}{2}-442368 \,{\mathrm e}^{2}-4 \,{\mathrm e}^{6}-2304 \,{\mathrm e}^{4}-28311552\right)}{12 x^{2}+{\mathrm e}^{2}}-8 \left({\mathrm e}^{2} {\mathrm e}^{6}+576 \,{\mathrm e}^{2} {\mathrm e}^{4}-576 \,{\mathrm e}^{6}-{\mathrm e}^{8}\right) {\mathrm e}^{-2} \sqrt{3}\, {\mathrm e}^{-1} \arctan \left(2 x \sqrt{3}\, {\mathrm e}^{-1}\right)}{\left(36864+384 \,{\mathrm e}^{2}+{\mathrm e}^{4}\right)^{2}}$&$163$\\ \hline \end{longtable}"," ",0,"-8/(x-4)/(12*x^2+exp(2))","A"
1237,1,806,25,0.598000," ","int((((-x^4-3*x^3-4*x^2)*exp(x)*ln(2*x)+(-x^3-2*x^2)*exp(x)+10*x^2+40*x+40)*ln(x^2)^2+((-4*x^3-8*x^2)*exp(x)+40*x^2+160*x+160)*ln(2*x)*ln(x^2))/(x^3+4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \left({\mathrm e}^{x} x^{2}-10 x -20\right) \ln \left(x \right)^{3}}{2+x}-\frac{2 \left(-i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}+10 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}+10 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-40 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+20 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-20 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}+20 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+2 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}+2 x^{2} \ln \left(2\right) {\mathrm e}^{x}-20 x \ln \left(2\right)-40 \ln \left(2\right)\right) \ln \left(x \right)^{2}}{2+x}+\frac{\pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(\mathrm{csgn}\left(i x^{2}\right) \pi  \mathrm{csgn}\left(i x \right)^{4}-4 \mathrm{csgn}\left(i x^{2}\right)^{2} \pi  \mathrm{csgn}\left(i x \right)^{3}+6 \mathrm{csgn}\left(i x^{2}\right)^{3} \pi  \mathrm{csgn}\left(i x \right)^{2}-4 \mathrm{csgn}\left(i x^{2}\right)^{4} \pi  \,\mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{5} \pi -16 i \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)+8 i \ln \left(2\right) \mathrm{csgn}\left(i x \right)^{2}+8 i \ln \left(2\right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) x^{2} {\mathrm e}^{x} \ln \left(x \right)}{4 x +8}+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-160 \ln \left(x \right) \ln \left(2\right) \mathrm{csgn}\left(i x \right)^{2} x -160 \ln \left(x \right) \ln \left(2\right) \mathrm{csgn}\left(i x^{2}\right)^{2} x +640 \ln \left(x \right) \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)+120 i \pi  \ln \left(x \right) x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}+240 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \ln \left(2\right) x^{2} \mathrm{csgn}\left(i x^{2}\right)^{5} {\mathrm e}^{x}+8 i \pi  \ln \left(2\right) x^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}+40 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-320 \ln \left(x \right) \ln \left(2\right) \mathrm{csgn}\left(i x \right)^{2}-320 \ln \left(x \right) \ln \left(2\right) \mathrm{csgn}\left(i x^{2}\right)^{2}-2 i \pi  \ln \left(2\right) x^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}-160 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{4}+20 i \pi  \ln \left(x \right) x \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)-12 i \pi  \ln \left(2\right) x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}+20 i \pi  \ln \left(x \right) x \mathrm{csgn}\left(i x^{2}\right)^{5}-80 i \pi  \ln \left(x \right) x \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{2}+320 \ln \left(x \right) \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) x +8 i \pi  \ln \left(2\right) x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{4} {\mathrm e}^{x}+40 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)-160 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{2}-80 i \pi  \ln \left(x \right) x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{4}\right)}{8 x +16}$&$806$\\ \hline \end{longtable}"," ",0,"-4*(exp(x)*x^2-10*x-20)/(2+x)*ln(x)^3-2*(-I*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)*exp(x)+10*I*Pi*x*csgn(I*x^2)^3+10*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)-40*I*Pi*csgn(I*x)*csgn(I*x^2)^2+20*I*Pi*csgn(I*x^2)^3-20*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2-I*Pi*x^2*csgn(I*x^2)^3*exp(x)+20*I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2*exp(x)+2*x^2*ln(2)*exp(x)-20*x*ln(2)-40*ln(2))/(2+x)*ln(x)^2+1/4*Pi*csgn(I*x^2)*(csgn(I*x^2)*Pi*csgn(I*x)^4-4*csgn(I*x^2)^2*Pi*csgn(I*x)^3+6*csgn(I*x^2)^3*Pi*csgn(I*x)^2-4*csgn(I*x^2)^4*Pi*csgn(I*x)+csgn(I*x^2)^5*Pi-16*I*ln(2)*csgn(I*x)*csgn(I*x^2)+8*I*ln(2)*csgn(I*x)^2+8*I*ln(2)*csgn(I*x^2)^2)*x^2/(2+x)*exp(x)*ln(x)+1/8*I*Pi*csgn(I*x^2)*(-160*ln(x)*ln(2)*csgn(I*x)^2*x-160*ln(x)*ln(2)*csgn(I*x^2)^2*x+640*ln(x)*ln(2)*csgn(I*x)*csgn(I*x^2)+120*I*Pi*ln(x)*x*csgn(I*x)^2*csgn(I*x^2)^3+240*I*Pi*ln(x)*csgn(I*x)^2*csgn(I*x^2)^3-2*I*Pi*ln(2)*x^2*csgn(I*x^2)^5*exp(x)+8*I*Pi*ln(2)*x^2*csgn(I*x)^3*csgn(I*x^2)^2*exp(x)+40*I*Pi*ln(x)*csgn(I*x^2)^5-320*ln(x)*ln(2)*csgn(I*x)^2-320*ln(x)*ln(2)*csgn(I*x^2)^2-2*I*Pi*ln(2)*x^2*csgn(I*x)^4*csgn(I*x^2)*exp(x)-160*I*Pi*ln(x)*csgn(I*x)*csgn(I*x^2)^4+20*I*Pi*ln(x)*x*csgn(I*x)^4*csgn(I*x^2)-12*I*Pi*ln(2)*x^2*csgn(I*x)^2*csgn(I*x^2)^3*exp(x)+20*I*Pi*ln(x)*x*csgn(I*x^2)^5-80*I*Pi*ln(x)*x*csgn(I*x)^3*csgn(I*x^2)^2+320*ln(x)*ln(2)*csgn(I*x)*csgn(I*x^2)*x+8*I*Pi*ln(2)*x^2*csgn(I*x)*csgn(I*x^2)^4*exp(x)+40*I*Pi*ln(x)*csgn(I*x)^4*csgn(I*x^2)-160*I*Pi*ln(x)*csgn(I*x)^3*csgn(I*x^2)^2-80*I*Pi*ln(x)*x*csgn(I*x)*csgn(I*x^2)^4)/(2+x)","C"
1238,1,25,27,0.023000," ","int(2*x*ln(2*x^2)-2/5*x*exp(3)+3*x^2+2*x-6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{3}-6 x -\frac{x^{2} {\mathrm e}^{3}}{5}+x^{2} \ln \left(2 x^{2}\right)$&$25$\\ norman&$x^{3}-6 x -\frac{x^{2} {\mathrm e}^{3}}{5}+x^{2} \ln \left(2 x^{2}\right)$&$25$\\ risch&$x^{3}-6 x -\frac{x^{2} {\mathrm e}^{3}}{5}+x^{2} \ln \left(2 x^{2}\right)$&$25$\\ \hline \end{longtable}"," ",0,"x^3-6*x-1/5*x^2*exp(3)+x^2*ln(2*x^2)","A"
1239,1,25,25,0.217000," ","int((((-12*x^4+2*x^3+6*x^2-x)*exp(x^2)-6*x^2+x)*ln(-16*x+8/3)^2+(-12*x+2)*ln(-16*x+8/3)-6*x)/(6*x^4-x^3)/ln(-16*x+8/3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{x^{2}}-1}{x}+\frac{1}{\ln \left(-16 x +\frac{8}{3}\right) x^{2}}$&$25$\\ default&$\frac{1+\left(3 \ln \left(2\right)-\ln \left(3\right)\right) x +x \ln \left(1-6 x \right)}{x^{2} \left(\ln \left(\frac{8}{3}\right)+\ln \left(1-6 x \right)\right)}-\frac{{\mathrm e}^{x^{2}}}{x}$&$47$\\ \hline \end{longtable}"," ",0,"-(exp(x^2)-1)/x+1/ln(-16*x+8/3)/x^2","A"
1240,1,25,24,0.164000," ","int((2*(-2*x-1)*ln(2)-2*x^3-3*x^2)/(160*x^2*ln(2)^2+160*x^4*ln(2)+40*x^6)/exp(-exp(5)+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{5}-2 x}}{40 \left(x^{2}+2 \ln \left(2\right)\right) x}$&$25$\\ norman&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{5}-2 x}}{40 \left(x^{2}+2 \ln \left(2\right)\right) x}$&$25$\\ risch&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{5}-2 x}}{40 \left(x^{2}+2 \ln \left(2\right)\right) x}$&$25$\\ derivativedivides&$\text{Expression too large to display}$&$2581$\\ default&$\text{Expression too large to display}$&$2581$\\ \hline \end{longtable}"," ",0,"1/40/(x^2+2*ln(2))/x/exp(-exp(5)+x)^2","A"
1241,1,39,30,0.126000," ","int(((5*x^7+64*x^5+480*x^3+500*x)*exp(5)^6+(-20*x^6+2*x^5-640*x^2-800)*exp(5)^3+20*x^5)/(x^7*exp(5)^6-4*x^6*exp(5)^3+4*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x +\frac{\left(-64 \,{\mathrm e}^{15}-2\right) x^{4}-160 x^{2} {\mathrm e}^{15}-100 \,{\mathrm e}^{15}}{x^{4} \left(x \,{\mathrm e}^{15}-2\right)}$&$39$\\ norman&$\frac{5 x^{6} {\mathrm e}^{15}+\left(-32 \,{\mathrm e}^{30}-{\mathrm e}^{15}-10\right) x^{5}-160 x^{2} {\mathrm e}^{15}-100 \,{\mathrm e}^{15}}{x^{4} \left(x \,{\mathrm e}^{15}-2\right)}$&$58$\\ gosper&$-\frac{32 \,{\mathrm e}^{30} x^{5}-5 x^{6} {\mathrm e}^{15}+x^{5} {\mathrm e}^{15}+160 x^{2} {\mathrm e}^{15}+10 x^{5}+100 \,{\mathrm e}^{15}}{x^{4} \left(x \,{\mathrm e}^{15}-2\right)}$&$63$\\ \hline \end{longtable}"," ",0,"5*x+((-64*exp(15)-2)*x^4-160*x^2*exp(15)-100*exp(15))/x^4/(x*exp(15)-2)","A"
1242,1,26,21,0.069000," ","int((((-x^2+x)*exp(x)+x)*exp(exp(x))+(-x^3+2*x^2-x)*exp(x)+x^3-x^2-4*x+1)/(x^3-2*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{3}{x -1}+\ln \left(x \right)-{\mathrm e}^{x}-\frac{{\mathrm e}^{{\mathrm e}^{x}}}{x -1}$&$26$\\ norman&$\frac{x^{2}-{\mathrm e}^{x} x -{\mathrm e}^{{\mathrm e}^{x}}+2+{\mathrm e}^{x}}{x -1}+\ln \left(x \right)$&$27$\\ \hline \end{longtable}"," ",0,"x+3/(x-1)+ln(x)-exp(x)-1/(x-1)*exp(exp(x))","A"
1243,1,17,11,0.011000," ","int(25/9*ln(x)^2+125/18*ln(x)+25/16,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{25 x}{144}+\frac{25 x \ln \left(x \right)^{2}}{9}+\frac{25 x \ln \left(x \right)}{18}$&$17$\\ norman&$\frac{25 x}{144}+\frac{25 x \ln \left(x \right)^{2}}{9}+\frac{25 x \ln \left(x \right)}{18}$&$17$\\ risch&$\frac{25 x}{144}+\frac{25 x \ln \left(x \right)^{2}}{9}+\frac{25 x \ln \left(x \right)}{18}$&$17$\\ \hline \end{longtable}"," ",0,"25/144*x+25/9*x*ln(x)^2+25/18*x*ln(x)","A"
1244,1,19,22,0.230000," ","int(((-15*x+6)*ln((5*x-2)/x)+60*x-30)*exp(-3*x*ln((5*x-2)/x)+12*x)/(5*x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-3 x \ln \left(\frac{5 x -2}{x}\right)+12 x}$&$19$\\ risch&$\left(\frac{5 x -2}{x}\right)^{-3 x} {\mathrm e}^{12 x}$&$19$\\ \hline \end{longtable}"," ",0,"exp(-3*x*ln((5*x-2)/x)+12*x)","A"
1245,1,7,13,0.010000," ","int(ln(x)+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(x \right)+x$&$7$\\ norman&$x \ln \left(x \right)+x$&$7$\\ risch&$x \ln \left(x \right)+x$&$7$\\ \hline \end{longtable}"," ",0,"x*ln(x)+x","A"
1246,1,85,21,0.234000," ","int((((9375000*x^24-28125000*x^23)*ln(x-3)^8+3125000*x^24*ln(x-3)^7)*ln(x)^9+((143750000*x^23-431250000*x^22)*ln(x-3)^8+50000000*x^23*ln(x-3)^7)*ln(x)^8+((-6250000*x^23+981250000*x^22-2887500000*x^21)*ln(x-3)^8+350000000*x^22*ln(x-3)^7)*ln(x)^7+((-87500000*x^22+3937500000*x^21-11025000000*x^20)*ln(x-3)^8+1400000000*x^21*ln(x-3)^7)*ln(x)^6+((-525000000*x^21+10325000000*x^20-26250000000*x^19)*ln(x-3)^8+3500000000*x^20*ln(x-3)^7)*ln(x)^5+((-1750000000*x^20+18550000000*x^19-39900000000*x^18)*ln(x-3)^8+5600000000*x^19*ln(x-3)^7)*ln(x)^4+((-3500000000*x^19+23100000000*x^18-37800000000*x^17)*ln(x-3)^8+5600000000*x^18*ln(x-3)^7)*ln(x)^3+((-4200000000*x^18+19400000000*x^17-20400000000*x^16)*ln(x-3)^8+3200000000*x^17*ln(x-3)^7)*ln(x)^2+((-2800000000*x^17+10000000000*x^16-4800000000*x^15)*ln(x-3)^8+800000000*x^16*ln(x-3)^7)*ln(x)+(-800000000*x^16+2400000000*x^15)*ln(x-3)^8)/(x-3)/ln(x)^9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{390625 x^{16} \left(x^{8} \ln \left(x \right)^{8}+16 x^{7} \ln \left(x \right)^{7}+112 x^{6} \ln \left(x \right)^{6}+448 x^{5} \ln \left(x \right)^{5}+1120 x^{4} \ln \left(x \right)^{4}+1792 x^{3} \ln \left(x \right)^{3}+1792 x^{2} \ln \left(x \right)^{2}+1024 x \ln \left(x \right)+256\right) \ln \left(x -3\right)^{8}}{\ln \left(x \right)^{8}}$&$85$\\ \hline \end{longtable}"," ",0,"390625*x^16*(x^8*ln(x)^8+16*x^7*ln(x)^7+112*x^6*ln(x)^6+448*x^5*ln(x)^5+1120*x^4*ln(x)^4+1792*x^3*ln(x)^3+1792*x^2*ln(x)^2+1024*x*ln(x)+256)/ln(x)^8*ln(x-3)^8","B"
1247,1,14,22,0.021000," ","int(((-10*x-11)*exp(4)+1)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x^{2}-11 x +x \,{\mathrm e}^{-4}$&$14$\\ gosper&$-x \left(5 x \,{\mathrm e}^{4}+11 \,{\mathrm e}^{4}-1\right) {\mathrm e}^{-4}$&$19$\\ default&${\mathrm e}^{-4} \left({\mathrm e}^{4} \left(-5 x^{2}-11 x \right)+x \right)$&$20$\\ norman&$-5 x^{2}-{\mathrm e}^{-4} \left(11 \,{\mathrm e}^{4}-1\right) x$&$20$\\ \hline \end{longtable}"," ",0,"-5*x^2-11*x+x*exp(-4)","A"
1248,1,25,19,0.035000," ","int(20*x*exp(5*x^2)^2+(-20*x^2-2)*exp(5*x^2)+(-4*x-4)*exp(x)+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+{\mathrm e}^{10 x^{2}}-2 x \,{\mathrm e}^{5 x^{2}}-4 \,{\mathrm e}^{x} x$&$25$\\ default&$x^{2}+{\mathrm e}^{10 x^{2}}-2 x \,{\mathrm e}^{5 x^{2}}-4 \,{\mathrm e}^{x} x$&$27$\\ norman&$x^{2}+{\mathrm e}^{10 x^{2}}-2 x \,{\mathrm e}^{5 x^{2}}-4 \,{\mathrm e}^{x} x$&$27$\\ \hline \end{longtable}"," ",0,"x^2+exp(10*x^2)-2*x*exp(5*x^2)-4*exp(x)*x","A"
1249,1,38,21,0.057000," ","int(((-104976*x^3+88776*x^2+7475*x)*ln((104976*x^4-193752*x^3+89401*x^2)/(104976*x^2+16200*x+625))+209952*x^3+32400*x^2+17450*x-14950)/((104976*x^3-88776*x^2-7475*x)*ln((104976*x^4-193752*x^3+89401*x^2)/(104976*x^2+16200*x+625))-209952*x^3+177552*x^2+14950*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x +\ln \left(\ln \left(\frac{104976 x^{4}-193752 x^{3}+89401 x^{2}}{104976 x^{2}+16200 x +625}\right)-2\right)$&$38$\\ risch&$-x +\ln \left(\ln \left(\frac{104976 x^{4}-193752 x^{3}+89401 x^{2}}{104976 x^{2}+16200 x +625}\right)-2\right)$&$38$\\ \hline \end{longtable}"," ",0,"-x+ln(ln((104976*x^4-193752*x^3+89401*x^2)/(104976*x^2+16200*x+625))-2)","A"
1250,1,27,24,0.034000," ","int((((x^2+4*x)*ln(x)+8*x^2+32*x)*ln(1/4*ln(x)+2)+(3+x)*ln(3+x)+(-5*x^2-20*x)*ln(x)-39*x^2-160*x-9)*exp((ln(3+x)+x-3)*ln(1/4*ln(x)+2)-5*ln(3+x)+15-5*x)/((x^2+3*x)*ln(x)+8*x^2+24*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(\frac{\ln \left(x \right)}{4}+2\right)^{\ln \left(3+x \right)+x -3} {\mathrm e}^{15-5 x}}{\left(3+x \right)^{5}}$&$27$\\ \hline \end{longtable}"," ",0,"(1/4*ln(x)+2)^(ln(3+x)+x-3)/(3+x)^5*exp(15-5*x)","A"
1251,1,34,34,0.102000," ","int(((2*x^7+18*x^6+59*x^5+99*x^4+135*x^3+135*x^2)*exp(x)^2+(-4*x^8-36*x^7-118*x^6-198*x^5-270*x^4-271*x^3-2*x^2+34*x+45)*exp(x)+2*x^9+18*x^8+59*x^7+99*x^6+135*x^5+135*x^4+5*x^3-21*x^2-60*x)/((2*x^7+18*x^6+54*x^5+54*x^4)*exp(x)^2+(-4*x^8-36*x^7-108*x^6-108*x^5)*exp(x)+2*x^9+18*x^8+54*x^7+54*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{5}{2 x}-\frac{x -5}{2 x^{3} \left(x^{2}+6 x +9\right) \left(x -{\mathrm e}^{x}\right)}$&$34$\\ norman&$\frac{\frac{5}{2}+x^{7}-69 x^{4}-\frac{59 x^{5}}{2}+69 \,{\mathrm e}^{x} x^{3}+\frac{59 \,{\mathrm e}^{x} x^{4}}{2}-\frac{x}{2}-\frac{45 x^{3}}{2}-x^{6} {\mathrm e}^{x}+\frac{45 \,{\mathrm e}^{x} x^{2}}{2}}{x^{3} \left(x -{\mathrm e}^{x}\right) \left(3+x \right)^{2}}$&$69$\\ \hline \end{longtable}"," ",0,"x-5/2/x-1/2*(x-5)/x^3/(x^2+6*x+9)/(x-exp(x))","A"
1252,1,32,26,0.047000," ","int((((x^2-1)*ln(x)+(-x^2+1)*exp(x^2+4*x)+(x^2-1)*exp(3)-x^3+x)*ln(-ln(x)+exp(x^2+4*x)+x-exp(3))^3+(-100*x^3-200*x^2)*exp(x^2+4*x)-50*x^2+50*x)/(x^2*ln(x)-x^2*exp(x^2+4*x)+x^2*exp(3)-x^3)/ln(-ln(x)+exp(x^2+4*x)+x-exp(3))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}+1}{x}-\frac{25}{\ln \left(x +{\mathrm e}^{\left(4+x \right) x}-{\mathrm e}^{3}-\ln \left(x \right)\right)^{2}}$&$32$\\ \hline \end{longtable}"," ",0,"(x^2+1)/x-25/ln(x+exp((4+x)*x)-exp(3)-ln(x))^2","A"
1253,1,123,32,0.072000," ","int((ln(x)^2+(-2*ln(-x/(ln(5)-1))+4)*ln(x)+ln(-x/(ln(5)-1))^2-4*ln(-x/(ln(5)-1))+2*x^3-x^2+4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(-x \right)^{2}}{x}+\frac{2 \ln \left(-x \right)}{x}-\frac{4}{x}-\frac{\ln \left(\ln \left(5\right)-1\right)^{2}}{x}+\frac{2 \ln \left(\ln \left(5\right)-1\right) \ln \left(-x \right)}{x}-\frac{2 \ln \left(\ln \left(5\right)-1\right)}{x}+\frac{\left(-2-2 \ln \left(\ln \left(5\right)-1\right)\right) \ln \left(x \right)+2 \ln \left(x \right) \ln \left(-x \right)+2 \ln \left(-x \right)-2 \ln \left(\ln \left(5\right)-1\right)}{x}+x^{2}-x -\frac{\ln \left(x \right)^{2}}{x}-\frac{2 \ln \left(x \right)}{x}$&$123$\\ risch&$x^{2}-x +\frac{-4+\pi^{2}+4 i \pi +2 \pi^{2} \mathrm{csgn}\left(i x \right)^{3}-\ln \left(\ln \left(5\right)-1\right)^{2}+2 i \ln \left(\ln \left(5\right)-1\right) \pi  \mathrm{csgn}\left(i x \right)^{3}-2 i \ln \left(\ln \left(5\right)-1\right) \pi  \mathrm{csgn}\left(i x \right)^{2}+2 i \pi  \ln \left(\ln \left(5\right)-1\right)-4 \ln \left(\ln \left(5\right)-1\right)+\pi^{2} \mathrm{csgn}\left(i x \right)^{6}+4 i \pi  \mathrm{csgn}\left(i x \right)^{3}-4 i \pi  \mathrm{csgn}\left(i x \right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2}+\pi^{2} \mathrm{csgn}\left(i x \right)^{4}-2 \pi^{2} \mathrm{csgn}\left(i x \right)^{5}}{x}$&$158$\\ \hline \end{longtable}"," ",0,"-1/x*ln(-x)^2+2/x*ln(-x)-4/x-ln(ln(5)-1)^2/x+2*ln(ln(5)-1)/x*ln(-x)-2*ln(ln(5)-1)/x+((-2-2*ln(ln(5)-1))*ln(x)+2*ln(x)*ln(-x)+2*ln(-x)-2*ln(ln(5)-1))/x+x^2-x-ln(x)^2/x-2*ln(x)/x","B"
1254,1,22,16,0.028000," ","int((((2*x^2-10*x+1)*exp(4)+2*x)*exp(x^2+5)+28*exp(4))/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$28 x +\left(x \,{\mathrm e}^{4}-5 \,{\mathrm e}^{4}+1\right) {\mathrm e}^{x^{2}+1}$&$22$\\ norman&$x \,{\mathrm e}^{x^{2}+5}+28 x -\left(5 \,{\mathrm e}^{4}-1\right) {\mathrm e}^{-4} {\mathrm e}^{x^{2}+5}$&$31$\\ default&${\mathrm e}^{-4} \left(\frac{{\mathrm e}^{4} {\mathrm e}^{5} \sqrt{\pi}\, \erfi \left(x \right)}{2}+{\mathrm e}^{5} {\mathrm e}^{x^{2}}-5 \,{\mathrm e}^{x^{2}} {\mathrm e}^{5} {\mathrm e}^{4}+2 \,{\mathrm e}^{4} {\mathrm e}^{5} \left(\frac{{\mathrm e}^{x^{2}} x}{2}-\frac{\sqrt{\pi}\, \erfi \left(x \right)}{4}\right)+28 x \,{\mathrm e}^{4}\right)$&$61$\\ \hline \end{longtable}"," ",0,"28*x+(x*exp(4)-5*exp(4)+1)*exp(x^2+1)","A"
1255,1,72,22,0.090000," ","int(((2*ln(x)^2+(-4*exp(3)+2)*ln(x)+2*exp(3)^2-4*exp(3)+6)*ln(ln(x)^2+(-2*exp(3)-1)*ln(x)+exp(3)^2+4)+2*ln(x)^3-4*exp(3)*ln(x)^2+(2*exp(3)^2+4)*ln(x)-2*exp(3)^2+4*exp(3)-6)/(x*ln(x)^2+(-2*x*exp(3)-x)*ln(x)+x*exp(3)^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)^{2}+\left(-2 \,{\mathrm e}^{3}-1\right) \ln \left(x \right)+{\mathrm e}^{6}+4\right)^{2}+2 \ln \left(x \right) \ln \left(\ln \left(x \right)^{2}+\left(-2 \,{\mathrm e}^{3}-1\right) \ln \left(x \right)+{\mathrm e}^{6}+4\right)+\ln \left(x \right)^{2}-2 \ln \left(x \right)-2 \ln \left(\ln \left(x \right)^{2}+\left(-2 \,{\mathrm e}^{3}-1\right) \ln \left(x \right)+{\mathrm e}^{6}+4\right)$&$72$\\ default&\verb|error in gcdex: invalid arguments\|& N/A\\ \hline \end{longtable}"," ",0,"ln(ln(x)^2+(-2*exp(3)-1)*ln(x)+exp(6)+4)^2+2*ln(x)*ln(ln(x)^2+(-2*exp(3)-1)*ln(x)+exp(6)+4)+ln(x)^2-2*ln(x)-2*ln(ln(x)^2+(-2*exp(3)-1)*ln(x)+exp(6)+4)","B"
1256,1,35,20,0.050000," ","int(((exp(1)*ln(x)+x*exp(1))*ln(x+ln(x))+(-4*exp(1)-4*x^2)*ln(x)+(-5*x-1)*exp(1)-4*x^3+x^2+x)/(x^2*ln(x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e} \ln \left(x +\ln \left(x \right)\right)}{x}+\frac{\ln \left(x +\ln \left(x \right)\right) x -4 x^{2}+4 \,{\mathrm e}}{x}$&$35$\\ \hline \end{longtable}"," ",0,"-exp(1)/x*ln(x+ln(x))+(ln(x+ln(x))*x-4*x^2+4*exp(1))/x","A"
1257,1,21,22,0.047000," ","int(1/8*((2*x^4+3*x^2)*exp(x^2)+8*exp(x)-24*x^2)*exp(1/8*x^3*exp(x^2)+exp(x)-2*ln(2)-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{x^{3} {\mathrm e}^{x^{2}}}{8}+{\mathrm e}^{x}-x^{3}}}{4}$&$21$\\ \hline \end{longtable}"," ",0,"1/4*exp(1/8*x^3*exp(x^2)+exp(x)-x^3)","A"
1258,1,30,20,0.244000," ","int((12*exp(1)*ln(2)^2+2*(6*x-2)*exp(1)*ln(2)+3*x^2*exp(1)-2)/(4*exp(1)*ln(2)^2+4*x*exp(1)*ln(2)+x^2*exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-1} \left(3 x \,{\mathrm e}-\frac{-4 \,{\mathrm e} \ln \left(2\right)-2}{x +2 \ln \left(2\right)}\right)$&$30$\\ risch&$3 x +\frac{4 \,{\mathrm e}^{-1} {\mathrm e} \ln \left(2\right)}{x +2 \ln \left(2\right)}+\frac{2 \,{\mathrm e}^{-1}}{x +2 \ln \left(2\right)}$&$33$\\ gosper&$-\frac{\left(12 \,{\mathrm e} \ln \left(2\right)^{2}-3 x^{2} {\mathrm e}-4 \,{\mathrm e} \ln \left(2\right)-2\right) {\mathrm e}^{-1}}{x +2 \ln \left(2\right)}$&$38$\\ norman&$\frac{3 x^{2}-2 \left(6 \,{\mathrm e} \ln \left(2\right)^{2}-2 \,{\mathrm e} \ln \left(2\right)-1\right) {\mathrm e}^{-1}}{x +2 \ln \left(2\right)}$&$38$\\ meijerg&$\frac{3 x}{1+\frac{x}{2 \ln \left(2\right)}}-\frac{{\mathrm e}^{-1} x}{2 \ln \left(2\right)^{2} \left(1+\frac{x}{2 \ln \left(2\right)}\right)}-\frac{x}{\ln \left(2\right) \left(1+\frac{x}{2 \ln \left(2\right)}\right)}+12 \ln \left(2\right) \left(-\frac{x}{2 \ln \left(2\right) \left(1+\frac{x}{2 \ln \left(2\right)}\right)}+\ln \left(1+\frac{x}{2 \ln \left(2\right)}\right)\right)+6 \ln \left(2\right) \left(\frac{x \left(\frac{3 x}{2 \ln \left(2\right)}+6\right)}{6 \ln \left(2\right) \left(1+\frac{x}{2 \ln \left(2\right)}\right)}-2 \ln \left(1+\frac{x}{2 \ln \left(2\right)}\right)\right)$&$131$\\ \hline \end{longtable}"," ",0,"1/exp(1)*(3*x*exp(1)-(-4*exp(1)*ln(2)-2)/(x+2*ln(2)))","A"
1259,1,20,19,0.202000," ","int(((-777*x-1036)*ln(48*x/(4+3*x))+1036)/(4+3*x)/ln(48*x/(4+3*x))^2/exp(x/ln(48*x/(4+3*x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$259 \,{\mathrm e}^{-\frac{x}{\ln \left(\frac{48 x}{4+3 x}\right)}}$&$20$\\ norman&$259 \,{\mathrm e}^{-\frac{x}{\ln \left(\frac{48 x}{4+3 x}\right)}}$&$21$\\ \hline \end{longtable}"," ",0,"259*exp(-x/ln(48*x/(4+3*x)))","A"
1260,1,26,26,0.041000," ","int((-6*x^5-2*x^4+50*x^3-13*x^2-62*x+8)/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left(3 x^{4}+x^{3}-19 x^{2}+8 x +12\right) {\mathrm e}^{-x^{2}}$&$26$\\ norman&$\left(3 x^{4}+x^{3}-19 x^{2}+8 x +12\right) {\mathrm e}^{-x^{2}}$&$26$\\ risch&$\left(3 x^{4}+x^{3}-19 x^{2}+8 x +12\right) {\mathrm e}^{-x^{2}}$&$26$\\ default&$12 \,{\mathrm e}^{-x^{2}}+8 x \,{\mathrm e}^{-x^{2}}-19 \,{\mathrm e}^{-x^{2}} x^{2}+{\mathrm e}^{-x^{2}} x^{3}+3 \,{\mathrm e}^{-x^{2}} x^{4}$&$51$\\ meijerg&$-12+\left(3 x^{4}+6 x^{2}+6\right) {\mathrm e}^{-x^{2}}+\frac{x \left(10 x^{2}+15\right) {\mathrm e}^{-x^{2}}}{10}-\frac{25 \left(2 x^{2}+2\right) {\mathrm e}^{-x^{2}}}{2}+\frac{13 x \,{\mathrm e}^{-x^{2}}}{2}+31 \,{\mathrm e}^{-x^{2}}$&$70$\\ \hline \end{longtable}"," ",0,"(3*x^4+x^3-19*x^2+8*x+12)/exp(x^2)","A"
1261,1,25,25,0.065000," ","int(((exp(-x)^2*exp(exp(9))-x*exp(-x)^2)*ln(4*exp(exp(9))-4*x)*ln(ln(4*exp(exp(9))-4*x))+((2*x^3+3*x^2)*exp(exp(9))-2*x^4-3*x^3)*ln(4*exp(exp(9))-4*x)-x*exp(-x)^2)/(2*exp(-x)^2*exp(exp(9))-2*x*exp(-x)^2)/ln(4*exp(exp(9))-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(\ln \left(4 \,{\mathrm e}^{{\mathrm e}^{9}}-4 x \right)\right)}{2}+\frac{{\mathrm e}^{2 x} x^{3}}{2}$&$25$\\ \hline \end{longtable}"," ",0,"1/2*x*ln(ln(4*exp(exp(9))-4*x))+1/2*exp(2*x)*x^3","A"
1262,1,27,27,0.060000," ","int(((x^4-8*x^3+16*x^2)*exp(x)+10*x^4+194*x^3-1622*x^2+1920*x+3840)/(x^4-8*x^3+16*x^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{2 \left(5 x^{2}+117 x -480\right) {\mathrm e}^{-x}}{\left(x -4\right) x}$&$27$\\ norman&$\frac{\left(960+{\mathrm e}^{x} x^{3}-16 \,{\mathrm e}^{x} x -234 x -10 x^{2}\right) {\mathrm e}^{-x}}{x \left(x -4\right)}$&$35$\\ default&$x -\frac{480 \,{\mathrm e}^{-x} \left(x -2\right)}{\left(x -4\right) x}+\frac{206 \,{\mathrm e}^{-x}}{x -4}-10 \,{\mathrm e}^{-x}$&$37$\\ \hline \end{longtable}"," ",0,"x-2*(5*x^2+117*x-480)/(x-4)/x*exp(-x)","A"
1263,1,37,33,0.062000," ","int(108/25*x^(7/5)+1/25*(288*x^2-594*x-216)*x^(1/5)+36/5*x^3-162/5*x^2+18*x+113/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline trager&$\frac{\left(9 x^{3}-45 x^{2}+113\right) \left(x -1\right)}{5}+\frac{18 x^{\frac{6}{5}} \left(x^{2}-3 x -2\right)}{5}+\frac{9 x^{\frac{12}{5}}}{5}$&$37$\\ risch&$\frac{9 x^{\frac{12}{5}}}{5}+\frac{18 x^{\frac{6}{5}} \left(x^{2}-3 x -2\right)}{5}+\frac{9 x^{4}}{5}-\frac{54 x^{3}}{5}+9 x^{2}+\frac{113 x}{5}$&$38$\\ derivativedivides&$\frac{9 x^{4}}{5}+\frac{18 x^{\frac{16}{5}}}{5}-\frac{54 x^{3}}{5}+\frac{9 x^{\frac{12}{5}}}{5}-\frac{54 x^{\frac{11}{5}}}{5}+9 x^{2}-\frac{36 x^{\frac{6}{5}}}{5}+\frac{113 x}{5}$&$40$\\ default&$\frac{9 x^{4}}{5}+\frac{18 x^{\frac{16}{5}}}{5}-\frac{54 x^{3}}{5}+\frac{9 x^{\frac{12}{5}}}{5}-\frac{54 x^{\frac{11}{5}}}{5}+9 x^{2}-\frac{36 x^{\frac{6}{5}}}{5}+\frac{113 x}{5}$&$40$\\ \hline \end{longtable}"," ",0,"1/5*(9*x^3-45*x^2+113)*(x-1)+18/5*x^(6/5)*(x^2-3*x-2)+9/5*x^(12/5)","A"
1264,1,19,23,0.237000," ","int(((-4*x^3+31*x^2-56*x-16)*exp(2)-20)/(x^2-8*x+16)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x^{2}-x +\frac{20 \,{\mathrm e}^{-2}}{x -4}$&$19$\\ default&${\mathrm e}^{-2} \left(-2 x^{2} {\mathrm e}^{2}-{\mathrm e}^{2} x +\frac{20}{x -4}\right)$&$26$\\ norman&$\frac{7 x^{2}-2 x^{3}+4 \left(4 \,{\mathrm e}^{2}+5\right) {\mathrm e}^{-2}}{x -4}$&$30$\\ gosper&$-\frac{\left(2 x^{3} {\mathrm e}^{2}-7 x^{2} {\mathrm e}^{2}-20-16 \,{\mathrm e}^{2}\right) {\mathrm e}^{-2}}{x -4}$&$32$\\ meijerg&$-\frac{5 \,{\mathrm e}^{-2} x}{4 \left(-\frac{x}{4}+1\right)}-\frac{4 x \left(-\frac{1}{8} x^{2}-\frac{3}{2} x +12\right)}{-\frac{x}{4}+1}+\frac{31 x \left(-\frac{3 x}{4}+6\right)}{3 \left(-\frac{x}{4}+1\right)}-\frac{15 x}{-\frac{x}{4}+1}$&$59$\\ \hline \end{longtable}"," ",0,"-2*x^2-x+20/(x-4)*exp(-2)","A"
1265,1,21,22,0.158000," ","int((-13122*x^3*exp(x)^9+(118098*x^4-1062882*x^3)*exp(x)^8+(-472392*x^5+8503056*x^4-38263752*x^3)*exp(x)^7+(1102248*x^6-29760696*x^5+267846264*x^4-803538792*x^3)*exp(x)^6+(-1653372*x^7+59521392*x^6-803538792*x^5+4821232752*x^4-10847773692*x^3)*exp(x)^5+(1653372*x^8-74401740*x^7+1339231320*x^6-12053081880*x^5+54238868460*x^4-97629963228*x^3)*exp(x)^4+(-1102248*x^9+59521392*x^8-1339231320*x^7+16070775840*x^6-108477736920*x^5+390519852912*x^4-585779779368*x^3)*exp(x)^3+(472392*x^10-29760696*x^9+803538792*x^8-12053081880*x^7+108477736920*x^6-585779779368*x^5+1757339338104*x^4-2259436291848*x^3)*exp(x)^2+((-16*x-4)*exp(3)^8-118098*x^11+8503056*x^10-267846264*x^9+4821232752*x^8-54238868460*x^7+390519852912*x^6-1757339338104*x^5+4518872583696*x^4-5083731656658*x^3)*exp(x)+(20*x-36)*exp(3)^8+13122*x^12-1062882*x^11+38263752*x^10-803538792*x^9+10847773692*x^8-97629963228*x^7+585779779368*x^6-2259436291848*x^5+5083731656658*x^4-5083731656658*x^3)/(6561*x^3*exp(x)^9+(-59049*x^4+531441*x^3)*exp(x)^8+(236196*x^5-4251528*x^4+19131876*x^3)*exp(x)^7+(-551124*x^6+14880348*x^5-133923132*x^4+401769396*x^3)*exp(x)^6+(826686*x^7-29760696*x^6+401769396*x^5-2410616376*x^4+5423886846*x^3)*exp(x)^5+(-826686*x^8+37200870*x^7-669615660*x^6+6026540940*x^5-27119434230*x^4+48814981614*x^3)*exp(x)^4+(551124*x^9-29760696*x^8+669615660*x^7-8035387920*x^6+54238868460*x^5-195259926456*x^4+292889889684*x^3)*exp(x)^3+(-236196*x^10+14880348*x^9-401769396*x^8+6026540940*x^7-54238868460*x^6+292889889684*x^5-878669669052*x^4+1129718145924*x^3)*exp(x)^2+(59049*x^11-4251528*x^10+133923132*x^9-2410616376*x^8+27119434230*x^7-195259926456*x^6+878669669052*x^5-2259436291848*x^4+2541865828329*x^3)*exp(x)-6561*x^12+531441*x^11-19131876*x^10+401769396*x^9-5423886846*x^8+48814981614*x^7-292889889684*x^6+1129718145924*x^5-2541865828329*x^4+2541865828329*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x +\frac{2 \,{\mathrm e}^{24}}{6561 x^{2} \left(x -{\mathrm e}^{x}-9\right)^{8}}$&$21$\\ \hline \end{longtable}"," ",0,"-2*x+2/6561*exp(24)/x^2/(x-exp(x)-9)^8","A"
1266,1,59,23,0.021000," ","int(((-198450*x^2-1786050*x-3572100)*ln(x)^2+(39690*x^3+1468530*x^2+9406530*x+16074450)*ln(x)-142884*x^3-2452842*x^2-12026070*x-17860500)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{99225 \left(x^{2}+6 x +9\right) \ln \left(x \right)^{2}}{x^{4}}-\frac{39690 \left(x^{3}+16 x^{2}+69 x +90\right) \ln \left(x \right)}{x^{4}}+\frac{103194 x^{3}+908901 x^{2}+3095820 x +3572100}{x^{4}}$&$59$\\ norman&$\frac{3572100+3095820 x +908901 x^{2}+103194 x^{3}+893025 \ln \left(x \right)^{2}-2738610 x \ln \left(x \right)+595350 x \ln \left(x \right)^{2}-635040 x^{2} \ln \left(x \right)+99225 x^{2} \ln \left(x \right)^{2}-39690 x^{3} \ln \left(x \right)-3572100 \ln \left(x \right)}{x^{4}}$&$65$\\ default&$\frac{99225 \ln \left(x \right)^{2}}{x^{2}}-\frac{635040 \ln \left(x \right)}{x^{2}}+\frac{908901}{x^{2}}-\frac{39690 \ln \left(x \right)}{x}+\frac{103194}{x}+\frac{595350 \ln \left(x \right)^{2}}{x^{3}}-\frac{2738610 \ln \left(x \right)}{x^{3}}+\frac{3095820}{x^{3}}+\frac{893025 \ln \left(x \right)^{2}}{x^{4}}-\frac{3572100 \ln \left(x \right)}{x^{4}}+\frac{3572100}{x^{4}}$&$77$\\ \hline \end{longtable}"," ",0,"99225*(x^2+6*x+9)/x^4*ln(x)^2-39690*(x^3+16*x^2+69*x+90)/x^4*ln(x)+3969*(26*x^3+229*x^2+780*x+900)/x^4","B"
1267,1,26,17,0.207000," ","int(((2*x^3+2*x^2)*ln(x)+(2*x^3+2*x^2)*ln(-x-1)+2*x^3+x^2+8*x+4)/(x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(-x -1\right)+x^{2} \ln \left(x \right)+4 \ln \left(x^{2}+x \right)$&$26$\\ default&$5 \ln \left(x +1\right)+4 \ln \left(x \right)+x^{2} \ln \left(x \right)+\left(-x -1\right)^{2} \ln \left(-x -1\right)+\frac{3}{2}+2 \left(-x -1\right) \ln \left(-x -1\right)$&$46$\\ \hline \end{longtable}"," ",0,"x^2*ln(-x-1)+x^2*ln(x)+4*ln(x^2+x)","A"
1268,1,24,23,0.164000," ","int(((-4*x^4-28*x^3-24*x^2-20*x-20)*ln(x^2+x)+4*x^4+18*x^3+18*x^2+45*x+20)/(20*x^7+20*x^6+100*x^5+100*x^4+125*x^3+125*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x^{2}+x \right) \left(4+x \right)}{5 x \left(2 x^{2}+5\right)}$&$24$\\ norman&$\frac{\frac{\ln \left(x^{2}+x \right) x}{5}+\frac{4 \ln \left(x^{2}+x \right)}{5}}{\left(2 x^{2}+5\right) x}$&$32$\\ \hline \end{longtable}"," ",0,"1/5*ln(x^2+x)/x*(4+x)/(2*x^2+5)","A"
1269,1,45,22,0.191000," ","int(8*x*exp(3)/((4*x^4+4*x^2+1)*exp(5)^4+((-8*x^4-8*x^2-2)*exp(1)-48*x^4-56*x^2-16)*exp(5)^2+(4*x^4+4*x^2+1)*exp(1)^2+(48*x^4+56*x^2+16)*exp(1)+144*x^4+192*x^2+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{3}}{\left({\mathrm e}^{10}-{\mathrm e}-6\right) \left(x^{2} {\mathrm e}^{10}+\frac{{\mathrm e}^{10}}{2}-x^{2} {\mathrm e}-6 x^{2}-\frac{{\mathrm e}}{2}-4\right)}$&$45$\\ gosper&$-\frac{2 \,{\mathrm e}^{3}}{\left(2 x^{2} {\mathrm e}^{10}-2 x^{2} {\mathrm e}+{\mathrm e}^{10}-12 x^{2}-{\mathrm e}-8\right) \left({\mathrm e}^{10}-{\mathrm e}-6\right)}$&$50$\\ norman&$\frac{4 \,{\mathrm e}^{3} x^{2}}{\left({\mathrm e}^{10}-{\mathrm e}-8\right) \left(2 x^{2} {\mathrm e}^{10}-2 x^{2} {\mathrm e}+{\mathrm e}^{10}-12 x^{2}-{\mathrm e}-8\right)}$&$53$\\ \hline \end{longtable}"," ",0,"-exp(3)/(exp(10)-exp(1)-6)/(x^2*exp(10)+1/2*exp(10)-x^2*exp(1)-6*x^2-1/2*exp(1)-4)","A"
1270,1,21,20,0.022000," ","int(((-16*exp(-x)+16*x^6+16*x+16)*ln(-exp(-x)+x^6+x+1)^2+(-32*x*exp(-x)-192*x^6-32*x)*ln(-exp(-x)+x^6+x+1))/(x^2*exp(-x)-x^8-x^3-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 \ln \left(-{\mathrm e}^{-x}+x^{6}+x +1\right)^{2}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"16*ln(-exp(-x)+x^6+x+1)^2/x","A"
1271,1,28,27,0.038000," ","int(((-2*x^2+9*x+24)*ln(x)-3*x^3-13*x^2-37*x-42)/(x^5+6*x^4+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5+x \ln \left(x \right)+3 x^{2}+7 x -4 \ln \left(x \right)}{x^{2} \left(3+x \right)}$&$28$\\ risch&$\frac{\left(x -4\right) \ln \left(x \right)}{x^{2} \left(3+x \right)}+\frac{3 x^{2}+7 x +5}{x^{2} \left(3+x \right)}$&$35$\\ default&$\frac{11}{9 \left(3+x \right)}+\frac{16}{9 x}+\frac{5}{3 x^{2}}-\frac{7 \ln \left(x \right)}{27}+\frac{7 \ln \left(x \right)}{9 x}-\frac{4 \ln \left(x \right)}{3 x^{2}}+\frac{7 \ln \left(x \right) x}{27 \left(3+x \right)}$&$47$\\ \hline \end{longtable}"," ",0,"(5+x*ln(x)+3*x^2+7*x-4*ln(x))/x^2/(3+x)","A"
1272,1,84,19,0.112000," ","int(1/10*((5*ln(2*x)+1)*ln(x^2)*ln(ln(x^2))+((10*x+20)*ln(2*x)+4-3*x)*ln(x^2)+10*ln(2*x)-8)/ln(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(5 x \ln \left(x \right)+5 x \ln \left(2\right)-4 x \right) \ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)}{10}+\frac{x^{2} \ln \left(x \right)}{2}+2 x \ln \left(x \right)+\frac{x^{2} \ln \left(2\right)}{2}+2 x \ln \left(2\right)-\frac{2 x^{2}}{5}-\frac{8 x}{5}$&$84$\\ \hline \end{longtable}"," ",0,"1/10*(5*x*ln(x)+5*x*ln(2)-4*x)*ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+1/2*x^2*ln(x)+2*x*ln(x)+1/2*x^2*ln(2)+2*x*ln(2)-2/5*x^2-8/5*x","C"
1273,1,29,26,0.340000," ","int(((10*x^3+10*x^2-30*x)*exp(5*x^2)*ln(729*x^4+1458*x^3-3645*x^2-4374*x+6561)+(4*x+2)*exp(5*x^2))/(x^2+x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{5 x^{2}} \ln \left(729 x^{4}+1458 x^{3}-3645 x^{2}-4374 x +6561\right)$&$29$\\ default&$6 \,{\mathrm e}^{5 x^{2}} \ln \left(3\right)+{\mathrm e}^{5 x^{2}} \left(\ln \left(\left(x^{2}+x -3\right)^{2}\right)-2 \ln \left(x^{2}+x -3\right)\right)+2 \,{\mathrm e}^{5 x^{2}} \ln \left(x^{2}+x -3\right)$&$53$\\ risch&$2 \,{\mathrm e}^{5 x^{2}} \ln \left(x^{2}+x -3\right)+\frac{\left(-i \pi  \mathrm{csgn}\left(i \left(x^{2}+x -3\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+x -3\right)^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+x -3\right)\right) \mathrm{csgn}\left(i \left(x^{2}+x -3\right)^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i \left(x^{2}+x -3\right)^{2}\right)^{3}+12 \ln \left(3\right)\right) {\mathrm e}^{5 x^{2}}}{2}$&$104$\\ \hline \end{longtable}"," ",0,"exp(5*x^2)*ln(729*x^4+1458*x^3-3645*x^2-4374*x+6561)","A"
1274,1,8,7,0.011000," ","int((-x*ln(x)+1)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(x \right)\right)-x$&$8$\\ norman&$\ln \left(\ln \left(x \right)\right)-x$&$8$\\ risch&$\ln \left(\ln \left(x \right)\right)-x$&$8$\\ \hline \end{longtable}"," ",0,"ln(ln(x))-x","A"
1275,1,81,28,0.166000," ","int(((16*x+8)*exp(3/exp(4/3))^3+(24*x^3-36*x^2+264*x+176)*exp(3/exp(4/3))^2+(12*x^5-42*x^4+312*x^3-408*x^2+1408*x+1248)*exp(3/exp(4/3))+2*x^7-11*x^6+90*x^5-264*x^4+1016*x^3-1152*x^2+2336*x+2944)/(8*exp(3/exp(4/3))^3+(12*x^2-24*x+144)*exp(3/exp(4/3))^2+(6*x^4-24*x^3+168*x^2-288*x+864)*exp(3/exp(4/3))+x^6-6*x^5+48*x^4-152*x^3+576*x^2-864*x+1728),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+x +\frac{2 x^{3}-4 x^{2}+\left(4 \,{\mathrm e}^{3 \,{\mathrm e}^{-\frac{4}{3}}}+24\right) x +4}{{\mathrm e}^{6 \,{\mathrm e}^{-\frac{4}{3}}}+{\mathrm e}^{3 \,{\mathrm e}^{-\frac{4}{3}}} x^{2}-2 \,{\mathrm e}^{3 \,{\mathrm e}^{-\frac{4}{3}}} x +\frac{x^{4}}{4}+12 \,{\mathrm e}^{3 \,{\mathrm e}^{-\frac{4}{3}}}-x^{3}+7 x^{2}-12 x +36}$&$81$\\ norman&$\frac{x^{6}+\left(12 \,{\mathrm e}^{3 \,{\mathrm e}^{-\frac{4}{3}}}+84\right) x^{3}+\left(-12 \,{\mathrm e}^{6 \,{\mathrm e}^{-\frac{4}{3}}}-168 \,{\mathrm e}^{3 \,{\mathrm e}^{-\frac{4}{3}}}-592\right) x^{2}+\left(36 \,{\mathrm e}^{6 \,{\mathrm e}^{-\frac{4}{3}}}+448 \,{\mathrm e}^{3 \,{\mathrm e}^{-\frac{4}{3}}}+1392\right) x -3 x^{5}-16 \,{\mathrm e}^{9 \,{\mathrm e}^{-\frac{4}{3}}}-288 \,{\mathrm e}^{6 \,{\mathrm e}^{-\frac{4}{3}}}-1728 \,{\mathrm e}^{3 \,{\mathrm e}^{-\frac{4}{3}}}-3440}{\left(x^{2}+2 \,{\mathrm e}^{3 \,{\mathrm e}^{-\frac{4}{3}}}-2 x +12\right)^{2}}$&$119$\\ \hline \end{longtable}"," ",0,"x^2+x+(2*x^3-4*x^2+(4*exp(3*exp(-4/3))+24)*x+4)/(exp(6*exp(-4/3))+exp(3*exp(-4/3))*x^2-2*exp(3*exp(-4/3))*x+1/4*x^4+12*exp(3*exp(-4/3))-x^3+7*x^2-12*x+36)","B"
1276,1,43,22,0.037000," ","int(((-2*x^3-5*x^2-20*x)*ln(1/6*(-2*x^2-5*x-20)/x)+2*x^3-6*x^2-20*x+60)*exp((3*ln(1/6*(-2*x^2-5*x-20)/x)+3-x)/ln(1/6*(-2*x^2-5*x-20)/x))/(2*x^3+5*x^2+20*x)/ln(1/6*(-2*x^2-5*x-20)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-3 \ln \left(\frac{-2 x^{2}-5 x -20}{6 x}\right)-3+x}{\ln \left(\frac{-2 x^{2}-5 x -20}{6 x}\right)}}$&$43$\\ \hline \end{longtable}"," ",0,"exp(-(-3*ln(1/6*(-2*x^2-5*x-20)/x)-3+x)/ln(1/6*(-2*x^2-5*x-20)/x))","A"
1277,1,18,17,0.046000," ","int(((2*x-10)*ln(5-x)-3*x^2+10*x+30)/((x^2-5*x)*ln(5-x)-x^3+2*x^2+15*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(x \right)+\ln \left(x -\ln \left(5-x \right)+3\right)$&$18$\\ risch&$2 \ln \left(x \right)+\ln \left(\ln \left(5-x \right)-x -3\right)$&$18$\\ \hline \end{longtable}"," ",0,"2*ln(x)+ln(x-ln(5-x)+3)","A"
1278,1,30,35,0.085000," ","int((((3*x^2+2)*exp(2)-3*x^2-2)*ln((3*x^2+2)/x^3)^2+((-9*x^2-6)*exp(2)+6*x^2+4)*ln((3*x^2+2)/x^3)+(3*x^2-2)*exp(2)-3*x^2-2)/((3*x^2+2)*ln((3*x^2+2)/x^3)^2+(-6*x^2-4)*ln((3*x^2+2)/x^3)+3*x^2+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2} x -x -\frac{{\mathrm e}^{2} x}{\ln \left(\frac{3 x^{2}+2}{x^{3}}\right)-1}$&$30$\\ norman&$\frac{\left(-2 \,{\mathrm e}^{2}+1\right) x +\left({\mathrm e}^{2}-1\right) x \ln \left(\frac{3 x^{2}+2}{x^{3}}\right)}{\ln \left(\frac{3 x^{2}+2}{x^{3}}\right)-1}$&$45$\\ \hline \end{longtable}"," ",0,"exp(2)*x-x-exp(2)*x/(ln((3*x^2+2)/x^3)-1)","A"
1279,1,16,19,0.019000," ","int(1/8*(16*x^3-5)*exp(exp(3))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(4 x^{3}-5\right) {\mathrm e}^{2 \,{\mathrm e}^{3}}}{8}$&$16$\\ default&$\frac{\left(4 x^{4}-5 x \right) {\mathrm e}^{2 \,{\mathrm e}^{3}}}{8}$&$17$\\ norman&$-\frac{5 x \,{\mathrm e}^{2 \,{\mathrm e}^{3}}}{8}+\frac{x^{4} {\mathrm e}^{2 \,{\mathrm e}^{3}}}{2}$&$20$\\ risch&$-\frac{5 x \,{\mathrm e}^{2 \,{\mathrm e}^{3}}}{8}+\frac{x^{4} {\mathrm e}^{2 \,{\mathrm e}^{3}}}{2}$&$20$\\ \hline \end{longtable}"," ",0,"1/8*x*(4*x^3-5)*exp(exp(3))^2","A"
1280,1,17,21,0.378000," ","int(-5000*exp(5)*exp(x)^4*exp(625*exp(x)^4)/(exp(5)^2*exp(625*exp(x)^4)^2+2*exp(5)*ln(2)*exp(625*exp(x)^4)+ln(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{{\mathrm e}^{5+625 \,{\mathrm e}^{4 x}}+\ln \left(2\right)}$&$17$\\ norman&$\frac{2}{{\mathrm e}^{5} {\mathrm e}^{625 \,{\mathrm e}^{4 x}}+\ln \left(2\right)}$&$18$\\ \hline \end{longtable}"," ",0,"2/(exp(5+625*exp(4*x))+ln(2))","A"
1281,1,10,16,0.010000," ","int(exp(x)+2*x-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x}+x^{2}-3 x$&$10$\\ norman&${\mathrm e}^{x}+x^{2}-3 x$&$10$\\ risch&${\mathrm e}^{x}+x^{2}-3 x$&$10$\\ \hline \end{longtable}"," ",0,"exp(x)+x^2-3*x","A"
1282,1,46,26,0.101000," ","int(((2*x^7+26*x^6+120*x^5+230*x^4+197*x^3+252*x^2+240*x-192)*exp(x)^2+(2*x^8+30*x^7+168*x^6+422*x^5+456*x^4+288*x^3+384*x^2)*exp(x)+4*x^8+48*x^7+192*x^6+262*x^5+72*x^4+285*x^3+396*x^2)/(3*x^5+36*x^4+144*x^3+192*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4}}{3}+2 x +\frac{x}{x^{2}+8 x +16}+\frac{\left(x^{3}+3\right) {\mathrm e}^{2 x}}{3 x}+\left(2+\frac{2 x^{3}}{3}\right) {\mathrm e}^{x}$&$46$\\ default&$-\frac{4}{\left(4+x \right)^{2}}+\frac{1}{4+x}+2 x +\frac{x^{4}}{3}+\frac{{\mathrm e}^{2 x}}{x}+2 \,{\mathrm e}^{x}+\frac{2 \,{\mathrm e}^{x} x^{3}}{3}+\frac{{\mathrm e}^{2 x} x^{2}}{3}$&$50$\\ norman&$\frac{-256 x -95 x^{2}+{\mathrm e}^{2 x} x^{2}+2 x^{4}+\frac{16 x^{5}}{3}+\frac{8 x^{6}}{3}+\frac{x^{7}}{3}+16 \,{\mathrm e}^{2 x}+8 x \,{\mathrm e}^{2 x}+\frac{16 x^{5} {\mathrm e}^{x}}{3}+\frac{x^{5} {\mathrm e}^{2 x}}{3}+\frac{2 x^{6} {\mathrm e}^{x}}{3}+32 \,{\mathrm e}^{x} x +16 \,{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{x} x^{3}+\frac{32 \,{\mathrm e}^{x} x^{4}}{3}+\frac{16 \,{\mathrm e}^{2 x} x^{3}}{3}+\frac{8 \,{\mathrm e}^{2 x} x^{4}}{3}}{\left(4+x \right)^{2} x}$&$127$\\ \hline \end{longtable}"," ",0,"1/3*x^4+2*x+x/(x^2+8*x+16)+1/3*(x^3+3)/x*exp(2*x)+(2+2/3*x^3)*exp(x)","A"
1283,1,19,15,0.049000," ","int((ln(ln(3)^2-100*ln(3)+2500)+2*x^2*ln(x)+x^2)/(x*ln(x)*ln(ln(3)^2-100*ln(3)+2500)+x^3*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x^{2}+2 \ln \left(-\ln \left(3\right)+50\right)\right)+\ln \left(\ln \left(x \right)\right)$&$19$\\ default&$\ln \left(\ln \left(x \right)\right)+\ln \left(x^{2}+\ln \left(\ln \left(3\right)^{2}-100 \ln \left(3\right)+2500\right)\right)$&$21$\\ norman&$\ln \left(\ln \left(x \right)\right)+\ln \left(x^{2}+\ln \left(\ln \left(3\right)^{2}-100 \ln \left(3\right)+2500\right)\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(x^2+2*ln(-ln(3)+50))+ln(ln(x))","A"
1284,1,15,20,0.245000," ","int(((x^3-x^2-x+1)*exp(x)-12*x^2+24*x-18)/(6*x^2-12*x+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{x} x}{6}+\frac{1}{x -1}-2 x$&$15$\\ risch&$\frac{{\mathrm e}^{x} x}{6}+\frac{1}{x -1}-2 x$&$15$\\ norman&$\frac{-2 x^{2}-\frac{{\mathrm e}^{x} x}{6}+\frac{{\mathrm e}^{x} x^{2}}{6}+3}{x -1}$&$26$\\ \hline \end{longtable}"," ",0,"1/6*exp(x)*x+1/(x-1)-2*x","A"
1285,1,49,24,0.095000," ","int((x*ln(exp(x)^2*x^2)+(4*x^2-2)*exp(-ln(x)+x^2-4)^2+2*x^2+2*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \,{\mathrm e}^{-8} \left(-\frac{{\mathrm e}^{2 x^{2}}}{2 x^{2}}-\expIntegralEi \left(1, -2 x^{2}\right)\right)-2 \,{\mathrm e}^{-8} \expIntegralEi \left(1, -2 x^{2}\right)+x \ln \left({\mathrm e}^{2 x} x^{2}\right)$&$49$\\ risch&$2 x \ln \left({\mathrm e}^{x}\right)+2 x \ln \left(x \right)-\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}+i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-\frac{i x \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)}{2}+\frac{i x \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)^{2}}{2}-\frac{i x \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)}{2}+i x \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}-\frac{i x \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}}{2}+\frac{i x \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)^{2}}{2}-\frac{i x \pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)^{3}}{2}+\frac{{\mathrm e}^{2 \left(x -2\right) \left(2+x \right)}}{x^{2}}$&$235$\\ \hline \end{longtable}"," ",0,"-2*exp(-8)*(-1/2*exp(x^2)^2/x^2-Ei(1,-2*x^2))-2*exp(-8)*Ei(1,-2*x^2)+x*ln(exp(x)^2*x^2)","C"
1286,1,17,15,0.033000," ","int(((x^2-x)*exp(1)^2*ln(x)+(-x^2+2*x-1)*exp(1)^2)/x/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2} \left(x^{2}-2 x +1\right)}{2 \ln \left(x \right)^{2}}$&$17$\\ norman&$\frac{\frac{{\mathrm e}^{2}}{2}-{\mathrm e}^{2} x +\frac{x^{2} {\mathrm e}^{2}}{2}}{\ln \left(x \right)^{2}}$&$29$\\ default&${\mathrm e}^{2} \left(-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)-{\mathrm e}^{2} \left(-\frac{x}{\ln \left(x \right)}-\expIntegralEi \left(1, -\ln \left(x \right)\right)\right)-{\mathrm e}^{2} \left(-\frac{x^{2}}{2 \ln \left(x \right)^{2}}-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)+2 \,{\mathrm e}^{2} \left(-\frac{x}{2 \ln \left(x \right)^{2}}-\frac{x}{2 \ln \left(x \right)}-\frac{\expIntegralEi \left(1, -\ln \left(x \right)\right)}{2}\right)+\frac{{\mathrm e}^{2}}{2 \ln \left(x \right)^{2}}$&$119$\\ \hline \end{longtable}"," ",0,"1/2*exp(2)*(x^2-2*x+1)/ln(x)^2","A"
1287,1,23,23,0.030000," ","int(((-2*x^6-10*x^5)*exp(5)*exp(x)-4*x^2*exp(5)-x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -2 x^{2} {\mathrm e}^{5}-2 x^{5} {\mathrm e}^{5} {\mathrm e}^{x}+\ln \left(x \right)$&$23$\\ risch&$-x -2 x^{2} {\mathrm e}^{5}-2 x^{5} {\mathrm e}^{5+x}+\ln \left(x \right)$&$23$\\ default&$\ln \left(x \right)-x -2 x^{2} {\mathrm e}^{5}-10 \,{\mathrm e}^{5} \left({\mathrm e}^{x} x^{4}-4 \,{\mathrm e}^{x} x^{3}+12 \,{\mathrm e}^{x} x^{2}-24 \,{\mathrm e}^{x} x +24 \,{\mathrm e}^{x}\right)-2 \,{\mathrm e}^{5} \left(x^{5} {\mathrm e}^{x}-5 \,{\mathrm e}^{x} x^{4}+20 \,{\mathrm e}^{x} x^{3}-60 \,{\mathrm e}^{x} x^{2}+120 \,{\mathrm e}^{x} x -120 \,{\mathrm e}^{x}\right)$&$89$\\ \hline \end{longtable}"," ",0,"-x-2*x^2*exp(5)-2*x^5*exp(5)*exp(x)+ln(x)","A"
1288,1,17,17,0.021000," ","int(((exp(x)+x)*ln(exp(x)+x)+(5*x-1)*exp(x)+4*x^2)/(exp(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left({\mathrm e}^{x}+x \right) x -x +2 x^{2}$&$17$\\ risch&$\ln \left({\mathrm e}^{x}+x \right) x -x +2 x^{2}$&$17$\\ \hline \end{longtable}"," ",0,"ln(exp(x)+x)*x-x+2*x^2","A"
1289,1,21,22,0.229000," ","int((-30*x^2*ln(x)-12*exp(4)^2+(-237*x+120)*exp(4)-1170*x^2+1185*x-300)*exp((3*x*ln(x)+12*exp(4)+120*x-60)/(2*x*exp(4)+20*x^2-10*x))/(2*x^2*exp(4)^2+(40*x^3-20*x^2)*exp(4)+200*x^4-200*x^3+50*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\frac{3}{2 \left(10 x +{\mathrm e}^{4}-5\right)}} {\mathrm e}^{\frac{6}{x}}$&$21$\\ norman&$\frac{\left({\mathrm e}^{4}-5\right) x \,{\mathrm e}^{\frac{3 x \ln \left(x \right)+12 \,{\mathrm e}^{4}+120 x -60}{2 x \,{\mathrm e}^{4}+20 x^{2}-10 x}}+10 x^{2} {\mathrm e}^{\frac{3 x \ln \left(x \right)+12 \,{\mathrm e}^{4}+120 x -60}{2 x \,{\mathrm e}^{4}+20 x^{2}-10 x}}}{x \left(10 x +{\mathrm e}^{4}-5\right)}$&$90$\\ \hline \end{longtable}"," ",0,"x^(3/2/(10*x+exp(4)-5))*exp(6/x)","A"
1290,1,17,16,0.066000," ","int((192*x-264)/(16*exp(3)^2+(-32*x^2+88*x-128)*exp(3)+16*x^4-88*x^3+249*x^2-352*x+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6}{\frac{11 x}{4}-x^{2}-4+{\mathrm e}^{3}}$&$17$\\ gosper&$\frac{24}{-4 x^{2}+4 \,{\mathrm e}^{3}+11 x -16}$&$19$\\ norman&$\frac{24}{-4 x^{2}+4 \,{\mathrm e}^{3}+11 x -16}$&$19$\\ \hline \end{longtable}"," ",0,"6/(11/4*x-x^2-4+exp(3))","A"
1291,1,28,22,0.036000," ","int(1/18*((4*exp(x)*x+4)*ln(x)+4*x*exp(x)^2+(4+x)*exp(x)+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(x \right)}{18}+\frac{2 \,{\mathrm e}^{x} \ln \left(x \right)}{9}+\frac{{\mathrm e}^{x}}{18}+\frac{{\mathrm e}^{2 x}}{9}+\frac{\ln \left(x \right)^{2}}{9}$&$28$\\ norman&$\frac{\ln \left(x \right)}{18}+\frac{2 \,{\mathrm e}^{x} \ln \left(x \right)}{9}+\frac{{\mathrm e}^{x}}{18}+\frac{{\mathrm e}^{2 x}}{9}+\frac{\ln \left(x \right)^{2}}{9}$&$28$\\ risch&$\frac{\ln \left(x \right)}{18}+\frac{2 \,{\mathrm e}^{x} \ln \left(x \right)}{9}+\frac{{\mathrm e}^{x}}{18}+\frac{{\mathrm e}^{2 x}}{9}+\frac{\ln \left(x \right)^{2}}{9}$&$28$\\ \hline \end{longtable}"," ",0,"1/18*ln(x)+2/9*exp(x)*ln(x)+1/18*exp(x)+1/9*exp(x)^2+1/9*ln(x)^2","A"
1292,1,23,25,0.051000," ","int((3*exp(x)^2+(-7*x^2+14)*exp(x)+3*x^4+6*x^3-20*x^2-12*x+15)/(exp(x)^2+(-2*x^2-2*x+6)*exp(x)+x^4+2*x^3-5*x^2-6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x -\frac{\left(x -4\right) x}{x^{2}-3-{\mathrm e}^{x}+x}$&$23$\\ norman&$\frac{-5 \,{\mathrm e}^{x}+7 x^{2}+3 x^{3}-3 \,{\mathrm e}^{x} x -15}{x^{2}-3-{\mathrm e}^{x}+x}$&$35$\\ \hline \end{longtable}"," ",0,"3*x-(x-4)*x/(x^2-3-exp(x)+x)","A"
1293,1,120,24,0.131000," ","int(((2*x^11-10*x^10+20*x^9-20*x^8+10*x^7-5*x^6+7*x^5-5*x^4+x^3-2*x+1)*ln(2)^2+(24*x^12-120*x^11+240*x^10-240*x^9+120*x^8-40*x^7+32*x^6-16*x^5-14*x^2+6*x)*ln(2)+64*x^13-320*x^12+640*x^11-640*x^10+320*x^9-80*x^8+16*x^7+16*x^6-16*x^5-24*x^3+8*x^2)/(4*x^10-20*x^9+40*x^8-40*x^7+20*x^6-4*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} \ln \left(2\right)^{2}}{4}+2 x^{3} \ln \left(2\right)+4 x^{4}+\frac{4 x^{7}+\frac{\left(-16+4 \ln \left(2\right)\right) x^{6}}{2}+\frac{\left(\frac{\ln \left(2\right)^{2}}{2}-8 \ln \left(2\right)+8\right) x^{5}}{2}+\frac{\left(-\ln \left(2\right)^{2}+4 \ln \left(2\right)\right) x^{4}}{2}+\frac{x^{3} \ln \left(2\right)^{2}}{4}+x^{2}+\frac{x \ln \left(2\right)}{2}+\frac{\ln \left(2\right)^{2}}{16}}{x^{4} \left(x^{4}-4 x^{3}+6 x^{2}-4 x +1\right)}$&$120$\\ norman&$\frac{x^{2}+\left(-16+2 \ln \left(2\right)\right) x^{11}+\left(24-8 \ln \left(2\right)+\frac{\ln \left(2\right)^{2}}{4}\right) x^{10}+\left(-\ln \left(2\right)^{2}+12 \ln \left(2\right)-16\right) x^{9}+\left(-2 \ln \left(2\right)^{2}+10 \ln \left(2\right)-4\right) x^{4}+\left(5 \ln \left(2\right)^{2}-30 \ln \left(2\right)+20\right) x^{7}+\left(-\frac{35 \ln \left(2\right)^{2}}{4}+50 \ln \left(2\right)-32\right) x^{6}+\left(\frac{25 \ln \left(2\right)^{2}}{4}+20-36 \ln \left(2\right)\right) x^{5}+4 x^{12}+\frac{\ln \left(2\right)^{2}}{16}+\frac{x \ln \left(2\right)}{2}+\frac{x^{3} \ln \left(2\right)^{2}}{4}}{x^{4} \left(x -1\right)^{4}}$&$145$\\ default&$4 x^{4}+2 x^{3} \ln \left(2\right)+\frac{x^{2} \ln \left(2\right)^{2}}{4}-\frac{-6 \ln \left(2\right)^{2}-20 \ln \left(2\right)-16}{4 x}-\frac{-5 \ln \left(2\right)^{2}-16 \ln \left(2\right)-8}{8 x^{2}}+\frac{\ln \left(2\right)^{2}}{16 x^{4}}+\frac{\ln \left(2\right) \left(\ln \left(2\right)+2\right)}{4 x^{3}}-\frac{-7 \ln \left(2\right)^{2}-40 \ln \left(2\right)-56}{8 \left(x -1\right)^{2}}-\frac{-\ln \left(2\right)^{2}-8 \ln \left(2\right)-16}{16 \left(x -1\right)^{4}}-\frac{3 \ln \left(2\right)^{2}+18 \ln \left(2\right)+24}{12 \left(x -1\right)^{3}}-\frac{\ln \left(2\right) \left(3 \ln \left(2\right)+10\right)}{2 \left(x -1\right)}$&$149$\\ gosper&$\frac{-140 x^{6} \ln \left(2\right)^{2}+64 x^{12}-256 x^{11}+384 x^{10}-256 x^{9}+\ln \left(2\right)^{2}+320 x^{7}-64 x^{4}+16 x^{2}-512 x^{6}+320 x^{5}+100 x^{5} \ln \left(2\right)^{2}+80 x^{7} \ln \left(2\right)^{2}-480 x^{7} \ln \left(2\right)-32 x^{4} \ln \left(2\right)^{2}+4 x^{3} \ln \left(2\right)^{2}+160 x^{4} \ln \left(2\right)-576 x^{5} \ln \left(2\right)+800 x^{6} \ln \left(2\right)+8 x \ln \left(2\right)+4 \ln \left(2\right)^{2} x^{10}+32 \ln \left(2\right) x^{11}-16 \ln \left(2\right)^{2} x^{9}-128 \ln \left(2\right) x^{10}+192 \ln \left(2\right) x^{9}}{16 x^{4} \left(x^{4}-4 x^{3}+6 x^{2}-4 x +1\right)}$&$193$\\ \hline \end{longtable}"," ",0,"1/4*x^2*ln(2)^2+2*x^3*ln(2)+4*x^4+(4*x^7+1/2*(-16+4*ln(2))*x^6+1/2*(1/2*ln(2)^2-8*ln(2)+8)*x^5+1/2*(-ln(2)^2+4*ln(2))*x^4+1/4*x^3*ln(2)^2+x^2+1/2*x*ln(2)+1/16*ln(2)^2)/x^4/(x^4-4*x^3+6*x^2-4*x+1)","B"
1294,1,29,26,0.032000," ","int((9*ln(x)+(27*x^3-27*x^2)*exp(x)-27*x^4-108*x^2-6*x-3)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{3 \ln \left(x \right)}{x^{3}}-27 x +\frac{108}{x}+\frac{3}{x^{2}}+\frac{27 \,{\mathrm e}^{x}}{x}$&$29$\\ risch&$-\frac{3 \ln \left(x \right)}{x^{3}}-\frac{3 \left(9 x^{3}-9 \,{\mathrm e}^{x} x -36 x -1\right)}{x^{2}}$&$29$\\ norman&$\frac{3 x +108 x^{2}-27 x^{4}+27 \,{\mathrm e}^{x} x^{2}-3 \ln \left(x \right)}{x^{3}}$&$30$\\ \hline \end{longtable}"," ",0,"-3*ln(x)/x^3-27*x+108/x+3/x^2+27*exp(x)/x","A"
1295,1,20,15,0.020000," ","int((6*x^2*ln(x)^3+18*x^4*ln(x)^2+(18*x^6+4*x)*ln(x)+6*x^8-4*x^3-4*x)/(3*ln(x)^3+9*x^2*ln(x)^2+9*x^4*ln(x)+3*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{3}}{3}+\frac{2 x^{2}}{3 \left(\ln \left(x \right)+x^{2}\right)^{2}}$&$20$\\ \hline \end{longtable}"," ",0,"2/3*x^3+2/3*x^2/(ln(x)+x^2)^2","A"
1296,1,467,29,0.256000," ","int((((-9*x-48)*ln(x)^2+((18*x+96)*exp(x+1)+x^2)*ln(x)+(-9*x-48)*exp(x+1)^2-x^2*exp(x+1))*ln(((-9*x-48)*ln(x)+(9*x+48)*exp(x+1)+x^2)/(12*ln(x)-12*exp(x+1)))+(-9*x+36)*ln(x)^2+((18*x-72)*exp(x+1)+2*x^2-8*x)*ln(x)+(-9*x+36)*exp(x+1)^2+(x^3-6*x^2+8*x)*exp(x+1)-x^2+4*x)/((9*x+48)*ln(x)^2+((-18*x-96)*exp(x+1)-x^2)*ln(x)+(9*x+48)*exp(x+1)^2+x^2*exp(x+1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(x^{2}+\left(9 \,{\mathrm e}^{x +1}-9 \ln \left(x \right)\right) x +48 \,{\mathrm e}^{x +1}-48 \ln \left(x \right)\right)+x \ln \left(-\ln \left(x \right)+{\mathrm e}^{x +1}\right)+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)-{\mathrm e}^{x +1}}\right) \mathrm{csgn}\left(i \left(-x^{2}-\left(9 \,{\mathrm e}^{x +1}-9 \ln \left(x \right)\right) x -48 \,{\mathrm e}^{x +1}+48 \ln \left(x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(-x^{2}-\left(9 \,{\mathrm e}^{x +1}-9 \ln \left(x \right)\right) x -48 \,{\mathrm e}^{x +1}+48 \ln \left(x \right)\right)}{\ln \left(x \right)-{\mathrm e}^{x +1}}\right)}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(-x^{2}-\left(9 \,{\mathrm e}^{x +1}-9 \ln \left(x \right)\right) x -48 \,{\mathrm e}^{x +1}+48 \ln \left(x \right)\right)}{\ln \left(x \right)-{\mathrm e}^{x +1}}\right)^{3}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(-x^{2}-\left(9 \,{\mathrm e}^{x +1}-9 \ln \left(x \right)\right) x -48 \,{\mathrm e}^{x +1}+48 \ln \left(x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(-x^{2}-\left(9 \,{\mathrm e}^{x +1}-9 \ln \left(x \right)\right) x -48 \,{\mathrm e}^{x +1}+48 \ln \left(x \right)\right)}{\ln \left(x \right)-{\mathrm e}^{x +1}}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)-{\mathrm e}^{x +1}}\right) \mathrm{csgn}\left(\frac{i \left(-x^{2}-\left(9 \,{\mathrm e}^{x +1}-9 \ln \left(x \right)\right) x -48 \,{\mathrm e}^{x +1}+48 \ln \left(x \right)\right)}{\ln \left(x \right)-{\mathrm e}^{x +1}}\right)^{2}}{2}+i \pi  x \mathrm{csgn}\left(\frac{i \left(-x^{2}-\left(9 \,{\mathrm e}^{x +1}-9 \ln \left(x \right)\right) x -48 \,{\mathrm e}^{x +1}+48 \ln \left(x \right)\right)}{\ln \left(x \right)-{\mathrm e}^{x +1}}\right)^{2}-i \pi  x +2 x \ln \left(2\right)+x \ln \left(3\right)+4 \ln \left(3 x +16\right)+4 \ln \left(\ln \left(x \right)-\frac{x^{2}+9 x \,{\mathrm e}^{x +1}+48 \,{\mathrm e}^{x +1}}{3 \left(3 x +16\right)}\right)-4 \ln \left(\ln \left(x \right)-{\mathrm e}^{x +1}\right)$&$467$\\ \hline \end{longtable}"," ",0,"-x*ln(x^2+(9*exp(x+1)-9*ln(x))*x+48*exp(x+1)-48*ln(x))+x*ln(-ln(x)+exp(x+1))+1/2*I*Pi*x*csgn(I/(ln(x)-exp(x+1)))*csgn(I*(-x^2-(9*exp(x+1)-9*ln(x))*x-48*exp(x+1)+48*ln(x)))*csgn(I/(ln(x)-exp(x+1))*(-x^2-(9*exp(x+1)-9*ln(x))*x-48*exp(x+1)+48*ln(x)))-1/2*I*Pi*x*csgn(I/(ln(x)-exp(x+1))*(-x^2-(9*exp(x+1)-9*ln(x))*x-48*exp(x+1)+48*ln(x)))^3+1/2*I*Pi*x*csgn(I*(-x^2-(9*exp(x+1)-9*ln(x))*x-48*exp(x+1)+48*ln(x)))*csgn(I/(ln(x)-exp(x+1))*(-x^2-(9*exp(x+1)-9*ln(x))*x-48*exp(x+1)+48*ln(x)))^2+1/2*I*Pi*x*csgn(I/(ln(x)-exp(x+1)))*csgn(I/(ln(x)-exp(x+1))*(-x^2-(9*exp(x+1)-9*ln(x))*x-48*exp(x+1)+48*ln(x)))^2+I*Pi*x*csgn(I/(ln(x)-exp(x+1))*(-x^2-(9*exp(x+1)-9*ln(x))*x-48*exp(x+1)+48*ln(x)))^2-I*Pi*x+2*x*ln(2)+x*ln(3)+4*ln(3*x+16)+4*ln(ln(x)-1/3*(x^2+9*x*exp(x+1)+48*exp(x+1))/(3*x+16))-4*ln(ln(x)-exp(x+1))","C"
1297,1,33,23,0.028000," ","int(1/2*((-6*x^2-12*x-5)*ln(3)^2-6*x^2-8*x)/ln(3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{3}-3 x^{2}-\frac{5 x}{2}-\frac{x^{3}}{\ln \left(3\right)^{2}}-\frac{2 x^{2}}{\ln \left(3\right)^{2}}$&$33$\\ default&$\frac{\ln \left(3\right)^{2} \left(-2 x^{3}-6 x^{2}-5 x \right)-2 x^{3}-4 x^{2}}{2 \ln \left(3\right)^{2}}$&$37$\\ gosper&$-\frac{x \left(2 x^{2} \ln \left(3\right)^{2}+6 x \ln \left(3\right)^{2}+5 \ln \left(3\right)^{2}+2 x^{2}+4 x \right)}{2 \ln \left(3\right)^{2}}$&$39$\\ norman&$\frac{-\frac{5 x \ln \left(3\right)}{2}-\frac{\left(\ln \left(3\right)^{2}+1\right) x^{3}}{\ln \left(3\right)}-\frac{\left(3 \ln \left(3\right)^{2}+2\right) x^{2}}{\ln \left(3\right)}}{\ln \left(3\right)}$&$44$\\ \hline \end{longtable}"," ",0,"-x^3-3*x^2-5/2*x-1/ln(3)^2*x^3-2*x^2/ln(3)^2","A"
1298,1,27,24,0.030000," ","int((128*x^3*ln(5*x)+192*x^4+32*x^3-15)/(4096*x^6*ln(5*x)^2+(8192*x^7-2048*x^6+1920*x^3)*ln(5*x)+4096*x^8-2048*x^7+256*x^6+1920*x^4-480*x^3+225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{64 x^{3} \ln \left(5 x \right)+64 x^{4}-16 x^{3}+15}$&$27$\\ \hline \end{longtable}"," ",0,"-x/(64*x^3*ln(5*x)+64*x^4-16*x^3+15)","A"
1299,1,14,15,0.030000," ","int(2*exp((ln(3)*ln(1/9*x^2)+exp(39/16))/ln(3))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{\frac{{\mathrm e}^{\frac{39}{16}}}{\ln \left(3\right)}} x^{2}}{9}$&$14$\\ risch&$\frac{{\mathrm e}^{\frac{{\mathrm e}^{\frac{39}{16}}}{\ln \left(3\right)}} x^{2}}{9}$&$14$\\ gosper&${\mathrm e}^{\frac{\ln \left(3\right) \ln \left(\frac{x^{2}}{9}\right)+{\mathrm e}^{\frac{39}{16}}}{\ln \left(3\right)}}$&$19$\\ derivativedivides&${\mathrm e}^{\frac{\ln \left(3\right) \ln \left(\frac{x^{2}}{9}\right)+{\mathrm e}^{\frac{39}{16}}}{\ln \left(3\right)}}$&$19$\\ default&${\mathrm e}^{\frac{\ln \left(3\right) \ln \left(\frac{x^{2}}{9}\right)+{\mathrm e}^{\frac{39}{16}}}{\ln \left(3\right)}}$&$19$\\ \hline \end{longtable}"," ",0,"1/9*exp(exp(39/16)/ln(3))*x^2","A"
1300,1,16,15,0.249000," ","int(((24*x+44)*exp(6*x+15)+3*x^2+12*x+12)/(3*x^2+12*x+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{4 \,{\mathrm e}^{6 x +15}}{3 \left(2+x \right)}$&$16$\\ derivativedivides&$x +\frac{5}{2}+\frac{8 \,{\mathrm e}^{6 x +15}}{6 x +12}$&$19$\\ default&$x +\frac{5}{2}+\frac{8 \,{\mathrm e}^{6 x +15}}{6 x +12}$&$19$\\ norman&$\frac{x^{2}+\frac{4 \,{\mathrm e}^{6 x +15}}{3}-4}{2+x}$&$20$\\ \hline \end{longtable}"," ",0,"x+4/3*exp(6*x+15)/(2+x)","A"
1301,1,28,22,0.053000," ","int((((8*x+64)*ln(x)-x^2-8*x-32)*exp(((4*x+16)*ln(x)+3*x^2)/x^2)^2+2*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,x^{\frac{32}{x^{2}}} x^{\frac{8}{x}} {\mathrm e}^{6}+x^{2}$&$28$\\ default&$-x \,{\mathrm e}^{\frac{2 \left(4 x +16\right) \ln \left(x \right)+6 x^{2}}{x^{2}}}+x^{2}$&$29$\\ \hline \end{longtable}"," ",0,"-x*(x^(16/x^2))^2*(x^(4/x))^2*exp(6)+x^2","A"
1302,1,230,23,0.088000," ","int(((-12*x*exp(1/5+x)-12*x-12)*ln(x)^3+(-36*x*exp(1/5+x)^2+(-36*x^2-396*x-36)*exp(1/5+x)-36*x^2-396*x-360)*ln(x)^2+(-36*x*exp(1/5+x)^3+(-72*x^2-756*x-36)*exp(1/5+x)^2+(-36*x^3-792*x^2-4392*x-720)*exp(1/5+x)-36*x^3-756*x^2-4320*x-3600)*ln(x)-12*x*exp(1/5+x)^4+(-36*x^2-372*x-12)*exp(1/5+x)^3+(-36*x^3-756*x^2-3996*x-360)*exp(1/5+x)^2+(-12*x^4-396*x^3-4356*x^2-16320*x-3600)*exp(1/5+x)-12*x^4-372*x^3-3960*x^2-15601*x-12000)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 \ln \left(x \right)^{4}+\left(-12 x -12 \,{\mathrm e}^{\frac{1}{5}+x}-120\right) \ln \left(x \right)^{3}+\left(-18 x^{2}-36 x \,{\mathrm e}^{\frac{1}{5}+x}-18 \,{\mathrm e}^{\frac{2}{5}+2 x}-360 x -360 \,{\mathrm e}^{\frac{1}{5}+x}-1800\right) \ln \left(x \right)^{2}+\left(-12 x^{3}-36 \,{\mathrm e}^{\frac{1}{5}+x} x^{2}-36 x \,{\mathrm e}^{\frac{2}{5}+2 x}-12 \,{\mathrm e}^{\frac{3}{5}+3 x}-360 x^{2}-720 x \,{\mathrm e}^{\frac{1}{5}+x}-360 \,{\mathrm e}^{\frac{2}{5}+2 x}-3600 x -3600 \,{\mathrm e}^{\frac{1}{5}+x}\right) \ln \left(x \right)-3 x^{4}-12 \,{\mathrm e}^{\frac{1}{5}+x} x^{3}-18 \,{\mathrm e}^{\frac{2}{5}+2 x} x^{2}-12 x \,{\mathrm e}^{\frac{3}{5}+3 x}-3 \,{\mathrm e}^{\frac{4}{5}+4 x}-120 x^{3}-360 \,{\mathrm e}^{\frac{1}{5}+x} x^{2}-360 x \,{\mathrm e}^{\frac{2}{5}+2 x}-120 \,{\mathrm e}^{\frac{3}{5}+3 x}-1800 x^{2}-3600 x \,{\mathrm e}^{\frac{1}{5}+x}-1800 \,{\mathrm e}^{\frac{2}{5}+2 x}-12000 \ln \left(x \right)-12001 x -12000 \,{\mathrm e}^{\frac{1}{5}+x}$&$230$\\ \hline \end{longtable}"," ",0,"-3*ln(x)^4+(-12*x-12*exp(1/5+x)-120)*ln(x)^3+(-18*x^2-36*x*exp(1/5+x)-18*exp(2/5+2*x)-360*x-360*exp(1/5+x)-1800)*ln(x)^2+(-12*x^3-36*exp(1/5+x)*x^2-36*x*exp(2/5+2*x)-12*exp(3/5+3*x)-360*x^2-720*x*exp(1/5+x)-360*exp(2/5+2*x)-3600*x-3600*exp(1/5+x))*ln(x)-3*x^4-12*exp(1/5+x)*x^3-18*exp(2/5+2*x)*x^2-12*x*exp(3/5+3*x)-3*exp(4/5+4*x)-120*x^3-360*exp(1/5+x)*x^2-360*x*exp(2/5+2*x)-120*exp(3/5+3*x)-1800*x^2-3600*x*exp(1/5+x)-1800*exp(2/5+2*x)-12000*ln(x)-12001*x-12000*exp(1/5+x)","B"
1303,1,5,9,0.012000," ","int((x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\ln \left(x \right)$&$5$\\ norman&$x +\ln \left(x \right)$&$5$\\ risch&$x +\ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"x+ln(x)","A"
1304,1,32,19,0.207000," ","int(((12*x^8+6*x^5+20*x^4+10*x)*ln((2*x^3+1)/x^2)+14*x^9+2*x^8+7*x^6+28*x^5+10*x^4+15*x^2-10*x)/(2*x^3+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{6}+5 x^{2}\right) \ln \left(\frac{2 x^{3}+1}{x^{2}}\right)+x^{7}+5 x^{3}$&$32$\\ default&$x^{7}+5 x^{3}+5 x^{2} \ln \left(\frac{2 x^{3}+1}{x^{2}}\right)+\ln \left(\frac{2 x^{3}+1}{x^{2}}\right) x^{6}$&$43$\\ norman&$x^{7}+5 x^{3}+5 x^{2} \ln \left(\frac{2 x^{3}+1}{x^{2}}\right)+\ln \left(\frac{2 x^{3}+1}{x^{2}}\right) x^{6}$&$43$\\ \hline \end{longtable}"," ",0,"(x^6+5*x^2)*ln((2*x^3+1)/x^2)+x^7+5*x^3","A"
1305,1,38,30,0.057000," ","int(((2*x^3-6*x+1)*ln(x)*ln(ln(x))^3+(-36*x^3+108*x-18)*ln(x)*ln(ln(x))^2+(210*x^3-9*x^2-648*x+108)*ln(x)*ln(ln(x))+(-396*x^3+54*x^2+1296*x-216)*ln(x)+6*x^3+6*x^2)/((x^2+2*x+1)*ln(x)*ln(ln(x))^3+(-18*x^2-36*x-18)*ln(x)*ln(ln(x))^2+(108*x^2+216*x+108)*ln(x)*ln(ln(x))+(-216*x^2-432*x-216)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3}-3 x^{2}-4 x -5}{x +1}-\frac{3 x^{3}}{\left(x +1\right) \left(\ln \left(\ln \left(x \right)\right)-6\right)^{2}}$&$38$\\ \hline \end{longtable}"," ",0,"(x^3-3*x^2-4*x-5)/(x+1)-3*x^3/(x+1)/(ln(ln(x))-6)^2","A"
1306,1,499,22,0.141000," ","int(((-4*x+1)*ln(x/exp(x*ln(x)))^2+(-2*x*ln(x)-2*x+2)*ln(x/exp(x*ln(x))))/exp(exp(3)+x-4)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-4 \,{\mathrm e}^{3}-4 x +16} \ln \left(x^{x}\right)^{2}-x \left(-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{-x}\right) \mathrm{csgn}\left(i x \,x^{-x}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,x^{-x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{-x}\right) \mathrm{csgn}\left(i x \,x^{-x}\right)^{2}-i \pi  \mathrm{csgn}\left(i x \,x^{-x}\right)^{3}+2 \ln \left(x \right)\right) {\mathrm e}^{-4 \,{\mathrm e}^{3}-4 x +16} \ln \left(x^{x}\right)+\frac{x \left(-4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{-x}\right) \mathrm{csgn}\left(i x \,x^{-x}\right)+4 \ln \left(x \right)^{2}+4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,x^{-x}\right)^{2}+4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x^{-x}\right) \mathrm{csgn}\left(i x \,x^{-x}\right)^{2}-\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \,x^{-x}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,x^{-x}\right)^{5}-\pi^{2} \mathrm{csgn}\left(i x^{-x}\right)^{2} \mathrm{csgn}\left(i x \,x^{-x}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i x^{-x}\right) \mathrm{csgn}\left(i x \,x^{-x}\right)^{5}-\pi^{2} \mathrm{csgn}\left(i x \,x^{-x}\right)^{6}-\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{-x}\right)^{2} \mathrm{csgn}\left(i x \,x^{-x}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{-x}\right) \mathrm{csgn}\left(i x \,x^{-x}\right)^{3}+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{-x}\right)^{2} \mathrm{csgn}\left(i x \,x^{-x}\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{-x}\right) \mathrm{csgn}\left(i x \,x^{-x}\right)^{4}-4 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \,x^{-x}\right)^{3}\right) {\mathrm e}^{-4 \,{\mathrm e}^{3}-4 x +16}}{4}$&$499$\\ \hline \end{longtable}"," ",0,"x*exp(-4*exp(3)-4*x+16)*ln(x^x)^2-x*(-I*Pi*csgn(I*x)*csgn(I/(x^x))*csgn(I*x/(x^x))+I*Pi*csgn(I*x)*csgn(I*x/(x^x))^2+I*Pi*csgn(I/(x^x))*csgn(I*x/(x^x))^2-I*Pi*csgn(I*x/(x^x))^3+2*ln(x))*exp(-4*exp(3)-4*x+16)*ln(x^x)+1/4*x*(-4*I*ln(x)*Pi*csgn(I*x)*csgn(I/(x^x))*csgn(I*x/(x^x))+4*ln(x)^2+4*I*ln(x)*Pi*csgn(I*x)*csgn(I*x/(x^x))^2+4*I*ln(x)*Pi*csgn(I/(x^x))*csgn(I*x/(x^x))^2-Pi^2*csgn(I*x)^2*csgn(I*x/(x^x))^4+2*Pi^2*csgn(I*x)*csgn(I*x/(x^x))^5-Pi^2*csgn(I/(x^x))^2*csgn(I*x/(x^x))^4+2*Pi^2*csgn(I/(x^x))*csgn(I*x/(x^x))^5-Pi^2*csgn(I*x/(x^x))^6-Pi^2*csgn(I*x)^2*csgn(I/(x^x))^2*csgn(I*x/(x^x))^2+2*Pi^2*csgn(I*x)^2*csgn(I/(x^x))*csgn(I*x/(x^x))^3+2*Pi^2*csgn(I*x)*csgn(I/(x^x))^2*csgn(I*x/(x^x))^3-4*Pi^2*csgn(I*x)*csgn(I/(x^x))*csgn(I*x/(x^x))^4-4*I*ln(x)*Pi*csgn(I*x/(x^x))^3)*exp(-4*exp(3)-4*x+16)","C"
1307,1,28,28,0.039000," ","int((x^5*ln(x)^2+(2*x^5+10*x^4)*ln(x)+4*exp(2)^2-40*exp(2)-x^3+100)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(5+x \right) \ln \left(x \right)^{2}-\frac{-x^{3}+{\mathrm e}^{4}-10 \,{\mathrm e}^{2}+25}{x^{4}}$&$28$\\ norman&$\frac{x^{3}+x^{5} \ln \left(x \right)^{2}+5 x^{4} \ln \left(x \right)^{2}-25-{\mathrm e}^{4}+10 \,{\mathrm e}^{2}}{x^{4}}$&$37$\\ default&$x \ln \left(x \right)^{2}+5 \ln \left(x \right)^{2}+\frac{1}{x}-\frac{{\mathrm e}^{4}}{x^{4}}+\frac{10 \,{\mathrm e}^{2}}{x^{4}}-\frac{25}{x^{4}}$&$38$\\ \hline \end{longtable}"," ",0,"(5+x)*ln(x)^2-(-x^3+exp(4)-10*exp(2)+25)/x^4","A"
1308,1,23,23,0.165000," ","int((x*exp(5)*exp(x)*ln(x)+2*exp(5)*exp(x)^2+(-2*x+5)*exp(5)*exp(x)+3*exp(5))/((x*exp(x)^2+2*exp(x)*x+x)*ln(x)^2+(-4*x*exp(x)^2-8*exp(x)*x-4*x)*ln(x)+4*x*exp(x)^2+8*exp(x)*x+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(3+2 \,{\mathrm e}^{x}\right) {\mathrm e}^{5}}{\left({\mathrm e}^{x}+1\right) \left(\ln \left(x \right)-2\right)}$&$23$\\ norman&$\frac{-2 \,{\mathrm e}^{5} {\mathrm e}^{x}-3 \,{\mathrm e}^{5}}{\left(\ln \left(x \right)-2\right) \left({\mathrm e}^{x}+1\right)}$&$25$\\ \hline \end{longtable}"," ",0,"-(3+2*exp(x))*exp(5)/(exp(x)+1)/(ln(x)-2)","A"
1309,1,44,20,0.056000," ","int((2*x^3*exp(2*x)*exp(exp(2*x))+2*ln(x^2)^2-4*ln(x^2)-x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\frac{2 \ln \left(x^{2}\right)}{x^{2}}+\frac{2}{x^{2}}+\frac{-2-\ln \left(x^{2}\right)^{2}-2 \ln \left(x^{2}\right)}{x^{2}}+{\mathrm e}^{{\mathrm e}^{2 x}}$&$44$\\ risch&$-\frac{4 \ln \left(x \right)^{2}}{x^{2}}+\frac{2 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(\mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{2}\right) \ln \left(x \right)}{x^{2}}+\frac{\pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-4 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}+6 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}+\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}-4 x^{3}}{4 x^{2}}+{\mathrm e}^{{\mathrm e}^{2 x}}$&$168$\\ \hline \end{longtable}"," ",0,"-x+2*ln(x^2)/x^2+2/x^2+(-2-ln(x^2)^2-2*ln(x^2))/x^2+exp(exp(2*x))","B"
1310,1,20,26,0.297000," ","int((6*x*ln(exp(exp(x)*x^2+x)/x)+(x^3+2*x^2)*exp(x)+x-1)/x/ln(exp(exp(x)*x^2+x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$6 x +\ln \left(\ln \left(\frac{{\mathrm e}^{{\mathrm e}^{x} x^{2}+x}}{x}\right)\right)$&$20$\\ risch&$6 x +\ln \left(\ln \left({\mathrm e}^{x \left({\mathrm e}^{x} x +1\right)}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x \left({\mathrm e}^{x} x +1\right)}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x \left({\mathrm e}^{x} x +1\right)}}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x \left({\mathrm e}^{x} x +1\right)}}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x \left({\mathrm e}^{x} x +1\right)}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x \left({\mathrm e}^{x} x +1\right)}}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x \left({\mathrm e}^{x} x +1\right)}}{x}\right)^{3}-2 i \ln \left(x \right)\right)}{2}\right)$&$146$\\ \hline \end{longtable}"," ",0,"6*x+ln(ln(exp(exp(x)*x^2+x)/x))","A"
1311,1,1414,27,0.588000," ","int((((-9*x^2+9)*ln(x)+3*x-3)*ln(x^2-x)+(18*x-9)*ln(x))*exp(3*ln(ln(x^2-x))-3*x)/(x^5-x^4)/exp(1)/ln(x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 i \left(\ln \left(x -1\right)+\ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x -1\right)\right) \left(-\mathrm{csgn}\left(i x \left(x -1\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x -1\right)\right)+\mathrm{csgn}\left(i \left(x -1\right)\right)\right)}{2}\right)^{3} \left(8 \ln \left(x \right)^{3}+24 \ln \left(x \right)^{2} \ln \left(x -1\right)+24 \ln \left(x \right) \ln \left(x -1\right)^{2}+3 i \pi^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{7}-3 i \pi^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{8}-i \pi^{3} \mathrm{csgn}\left(i \left(x -1\right)\right)^{3} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{6}-6 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4} \ln \left(x \right)-6 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4} \ln \left(x -1\right)+12 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{5} \ln \left(x \right)+12 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{5} \ln \left(x -1\right)-6 \pi^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4} \ln \left(x \right)-6 \pi^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4} \ln \left(x -1\right)+12 \pi^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{5} \ln \left(x \right)+12 \pi^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{5} \ln \left(x -1\right)+3 i \pi^{3} \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{7}-3 i \pi^{3} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{8}-12 i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} \ln \left(x \right)^{2}-12 i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} \ln \left(x -1\right)^{2}-i \pi^{3} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{6}-3 i \pi^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)^{3} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4}+9 i \pi^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{5}-9 i \pi^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{6}+3 i \pi^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right)^{3} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{5}-9 i \pi^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{6}+9 i \pi^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{7}+12 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \ln \left(x \right)^{2}+12 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \ln \left(x -1\right)^{2}+12 i \pi  \,\mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \ln \left(x \right)^{2}+12 i \pi  \,\mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \ln \left(x -1\right)^{2}-24 i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} \ln \left(x \right) \ln \left(x -1\right)-6 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \ln \left(x \right)-6 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \ln \left(x -1\right)+12 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} \ln \left(x \right)+12 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} \ln \left(x -1\right)+12 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} \ln \left(x \right)+12 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} \ln \left(x -1\right)-24 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4} \ln \left(x \right)-24 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4} \ln \left(x -1\right)-24 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right) \ln \left(x \right) \ln \left(x -1\right)-6 \pi^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{6} \ln \left(x \right)-6 \pi^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{6} \ln \left(x -1\right)+i \pi^{3} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{9}-12 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right) \ln \left(x \right)^{2}-12 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right) \ln \left(x -1\right)^{2}+24 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \ln \left(x \right) \ln \left(x -1\right)+24 i \pi  \,\mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \ln \left(x \right) \ln \left(x -1\right)+i \pi^{3} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i \left(x -1\right)\right)^{3} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}-3 i \pi^{3} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4}+3 i \pi^{3} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{5}+8 \ln \left(x -1\right)^{3}\right) \ln \left(x \right) {\mathrm e}^{-3 x -1}}{\left(2 i \ln \left(x \right)+2 i \ln \left(x -1\right)+\pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}\right)^{3} x^{3}}$&$1414$\\ \hline \end{longtable}"," ",0,"-3*I*(ln(x-1)+ln(x)-1/2*I*Pi*csgn(I*x*(x-1))*(-csgn(I*x*(x-1))+csgn(I*x))*(-csgn(I*x*(x-1))+csgn(I*(x-1))))^3/(2*I*ln(x)+2*I*ln(x-1)+Pi*csgn(I*x*(x-1))^3+Pi*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))-Pi*csgn(I*x)*csgn(I*x*(x-1))^2-Pi*csgn(I*(x-1))*csgn(I*x*(x-1))^2)^3/x^3*(8*ln(x)^3+24*ln(x)^2*ln(x-1)+24*ln(x)*ln(x-1)^2-6*Pi^2*csgn(I*x)^2*csgn(I*x*(x-1))^4*ln(x)-6*Pi^2*csgn(I*x)^2*csgn(I*x*(x-1))^4*ln(x-1)+12*Pi^2*csgn(I*x)*csgn(I*x*(x-1))^5*ln(x)+12*Pi^2*csgn(I*x)*csgn(I*x*(x-1))^5*ln(x-1)-6*Pi^2*csgn(I*(x-1))^2*csgn(I*x*(x-1))^4*ln(x)-6*Pi^2*csgn(I*(x-1))^2*csgn(I*x*(x-1))^4*ln(x-1)+12*Pi^2*csgn(I*(x-1))*csgn(I*x*(x-1))^5*ln(x)+12*Pi^2*csgn(I*(x-1))*csgn(I*x*(x-1))^5*ln(x-1)+3*I*Pi^3*csgn(I*(x-1))^2*csgn(I*x*(x-1))^7-3*I*Pi^3*csgn(I*(x-1))*csgn(I*x*(x-1))^8-12*I*Pi*csgn(I*x*(x-1))^3*ln(x)^2-12*I*Pi*csgn(I*x*(x-1))^3*ln(x-1)^2-I*Pi^3*csgn(I*x)^3*csgn(I*x*(x-1))^6+3*I*Pi^3*csgn(I*x)^2*csgn(I*x*(x-1))^7-3*I*Pi^3*csgn(I*x)*csgn(I*x*(x-1))^8-I*Pi^3*csgn(I*(x-1))^3*csgn(I*x*(x-1))^6+I*Pi^3*csgn(I*x)^3*csgn(I*(x-1))^3*csgn(I*x*(x-1))^3-3*I*Pi^3*csgn(I*x)^3*csgn(I*(x-1))^2*csgn(I*x*(x-1))^4+3*I*Pi^3*csgn(I*x)^3*csgn(I*(x-1))*csgn(I*x*(x-1))^5-3*I*Pi^3*csgn(I*x)^2*csgn(I*(x-1))^3*csgn(I*x*(x-1))^4+9*I*Pi^3*csgn(I*x)^2*csgn(I*(x-1))^2*csgn(I*x*(x-1))^5-9*I*Pi^3*csgn(I*x)^2*csgn(I*(x-1))*csgn(I*x*(x-1))^6+3*I*Pi^3*csgn(I*x)*csgn(I*(x-1))^3*csgn(I*x*(x-1))^5-9*I*Pi^3*csgn(I*x)*csgn(I*(x-1))^2*csgn(I*x*(x-1))^6+9*I*Pi^3*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))^7+12*I*Pi*csgn(I*x)*csgn(I*x*(x-1))^2*ln(x)^2+12*I*Pi*csgn(I*x)*csgn(I*x*(x-1))^2*ln(x-1)^2+12*I*Pi*csgn(I*(x-1))*csgn(I*x*(x-1))^2*ln(x)^2+12*I*Pi*csgn(I*(x-1))*csgn(I*x*(x-1))^2*ln(x-1)^2-24*I*Pi*csgn(I*x*(x-1))^3*ln(x)*ln(x-1)-6*Pi^2*csgn(I*x)^2*csgn(I*(x-1))^2*csgn(I*x*(x-1))^2*ln(x)-6*Pi^2*csgn(I*x)^2*csgn(I*(x-1))^2*csgn(I*x*(x-1))^2*ln(x-1)+12*Pi^2*csgn(I*x)^2*csgn(I*(x-1))*csgn(I*x*(x-1))^3*ln(x)+12*Pi^2*csgn(I*x)^2*csgn(I*(x-1))*csgn(I*x*(x-1))^3*ln(x-1)+12*Pi^2*csgn(I*x)*csgn(I*(x-1))^2*csgn(I*x*(x-1))^3*ln(x)+12*Pi^2*csgn(I*x)*csgn(I*(x-1))^2*csgn(I*x*(x-1))^3*ln(x-1)-24*Pi^2*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))^4*ln(x)-24*Pi^2*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))^4*ln(x-1)-24*I*Pi*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))*ln(x)*ln(x-1)+8*ln(x-1)^3-12*I*Pi*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))*ln(x)^2-6*Pi^2*csgn(I*x*(x-1))^6*ln(x)-6*Pi^2*csgn(I*x*(x-1))^6*ln(x-1)+I*Pi^3*csgn(I*x*(x-1))^9-12*I*Pi*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))*ln(x-1)^2+24*I*Pi*csgn(I*x)*csgn(I*x*(x-1))^2*ln(x)*ln(x-1)+24*I*Pi*csgn(I*(x-1))*csgn(I*x*(x-1))^2*ln(x)*ln(x-1))*ln(x)*exp(-3*x-1)","C"
1312,1,23,21,0.025000," ","int((-ln(2*exp(3))+8*x*exp(4)-12*x^2)*ln(ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\ln \left(\ln \left(5\right)\right) x \left(-4 x \,{\mathrm e}^{4}+4 x^{2}+\ln \left(2 \,{\mathrm e}^{3}\right)\right)$&$23$\\ default&$\ln \left(\ln \left(5\right)\right) \left(-\ln \left(2 \,{\mathrm e}^{3}\right) x +4 x^{2} {\mathrm e}^{4}-4 x^{3}\right)$&$26$\\ risch&$4 \ln \left(\ln \left(5\right)\right) {\mathrm e}^{4} x^{2}-4 \ln \left(\ln \left(5\right)\right) x^{3}-\ln \left(\ln \left(5\right)\right) x \ln \left(2\right)-3 x \ln \left(\ln \left(5\right)\right)$&$34$\\ norman&$\left(-3 \ln \left(\ln \left(5\right)\right)-\ln \left(\ln \left(5\right)\right) \ln \left(2\right)\right) x -4 \ln \left(\ln \left(5\right)\right) x^{3}+4 \ln \left(\ln \left(5\right)\right) {\mathrm e}^{4} x^{2}$&$35$\\ \hline \end{longtable}"," ",0,"-ln(ln(5))*x*(-4*x*exp(4)+4*x^2+ln(2*exp(3)))","A"
1313,1,22,21,0.074000," ","int((((-144*x^3*exp(x^2)-144*x^4+288*x^3)*exp(36*x^4)+2*exp(x^2)*x+1)*exp(exp(36*x^4)+5)+10*exp(x^2)*x+5)/(exp(exp(36*x^4)+5)^2+10*exp(exp(36*x^4)+5)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x -2+{\mathrm e}^{x^{2}}}{5+{\mathrm e}^{{\mathrm e}^{36 x^{4}}+5}}$&$22$\\ \hline \end{longtable}"," ",0,"(x-2+exp(x^2))/(5+exp(exp(36*x^4)+5))","A"
1314,1,129,27,0.017000," ","int(((250*x-1875)*ln(2)^3+(-150*x^4+1125*x^3+700*x-8050)*ln(2)^2+(30*x^7-225*x^6-520*x^4+5140*x^3+440*x-9700)*ln(2)-2*x^10+15*x^9+76*x^7-706*x^6-184*x^4+5780*x^3+80*x-2200)*exp(((25*x^2-375*x+1600)*ln(2)^2+(-10*x^5+150*x^4-640*x^3+20*x^2-860*x+6400)*ln(2)+x^8-15*x^7+64*x^6-4*x^5+172*x^4-1280*x^3+4*x^2-220*x+6400)/(25*ln(2)^2+(-10*x^3+100)*ln(2)+x^6-20*x^3+100))/(125*ln(2)^3+(-75*x^3+750)*ln(2)^2+(15*x^6-300*x^3+1500)*ln(2)-x^9+30*x^6-300*x^3+1000),x)","\[{\mathrm e}^{\frac{x^{8}-15 x^{7}-10 x^{5} \ln \left(2\right)+64 x^{6}+150 x^{4} \ln \left(2\right)-4 x^{5}+25 x^{2} \ln \left(2\right)^{2}-640 x^{3} \ln \left(2\right)+172 x^{4}-375 x \ln \left(2\right)^{2}+20 x^{2} \ln \left(2\right)-1280 x^{3}+1600 \ln \left(2\right)^{2}-860 x \ln \left(2\right)+4 x^{2}+6400 \ln \left(2\right)-220 x +6400}{x^{6}-10 x^{3} \ln \left(2\right)-20 x^{3}+25 \ln \left(2\right)^{2}+100 \ln \left(2\right)+100}}\]"," ",0,"exp((x^8-15*x^7-10*x^5*ln(2)+64*x^6+150*x^4*ln(2)-4*x^5+25*x^2*ln(2)^2-640*x^3*ln(2)+172*x^4-375*x*ln(2)^2+20*x^2*ln(2)-1280*x^3+1600*ln(2)^2-860*x*ln(2)+4*x^2+6400*ln(2)-220*x+6400)/(x^6-10*x^3*ln(2)-20*x^3+25*ln(2)^2+100*ln(2)+100))","B"
1315,1,17,16,0.033000," ","int(1/4*((-x-64)*exp(x)-1)*exp(exp(x))+20*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-x -64\right) {\mathrm e}^{{\mathrm e}^{x}}}{4}+10 x^{2}$&$17$\\ default&$10 x^{2}-\frac{x \,{\mathrm e}^{{\mathrm e}^{x}}}{4}-16 \,{\mathrm e}^{{\mathrm e}^{x}}$&$18$\\ norman&$10 x^{2}-\frac{x \,{\mathrm e}^{{\mathrm e}^{x}}}{4}-16 \,{\mathrm e}^{{\mathrm e}^{x}}$&$18$\\ \hline \end{longtable}"," ",0,"1/4*(-x-64)*exp(exp(x))+10*x^2","A"
1316,1,58,29,0.052000," ","int(((-1296*x^3+3888*x^2-3888*x+1296)*ln(x)^2+(-3888*x^4+22248*x^3-43308*x^2+35460*x-10512)*ln(x)+17820*x^4-74529*x^3+116568*x^2-80852*x+20992)/(8*x^6-24*x^5+24*x^4-8*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{81 \ln \left(x \right)^{2}}{x^{2}}+\frac{9 \left(108 x^{2}-237 x +128\right) \ln \left(x \right)}{2 x^{2} \left(x -1\right)}-\frac{27864 x^{3}-72153 x^{2}+60672 x -16384}{16 x^{2} \left(x -1\right)^{2}}$&$58$\\ default&$\frac{1}{16 \left(x -1\right)^{2}}+\frac{5}{2 \left(x -1\right)}+\frac{1024}{x^{2}}-\frac{1744}{x}+\frac{9 \ln \left(x \right)}{2}+\frac{81 \ln \left(x \right)^{2}}{x^{2}}-\frac{576 \ln \left(x \right)}{x^{2}}+\frac{981 \ln \left(x \right)}{2 x}-\frac{9 \ln \left(x \right) x}{2 \left(x -1\right)}$&$63$\\ norman&$\frac{1024-\frac{3483 x^{4}}{4}+\frac{58221 x^{2}}{16}+243 x^{4} \ln \left(x \right)-\frac{2619 x^{2} \ln \left(x \right)}{2}-3792 x +81 \ln \left(x \right)^{2}+\frac{3285 x \ln \left(x \right)}{2}-162 x \ln \left(x \right)^{2}+81 x^{2} \ln \left(x \right)^{2}-576 \ln \left(x \right)}{x^{2} \left(x -1\right)^{2}}-243 \ln \left(x \right)$&$75$\\ \hline \end{longtable}"," ",0,"81*ln(x)^2/x^2+9/2*(108*x^2-237*x+128)/x^2/(x-1)*ln(x)-1/16*(27864*x^3-72153*x^2+60672*x-16384)/x^2/(x-1)^2","A"
1317,1,36,24,0.042000," ","int((x*exp(4)^2*ln(-1/2*x)*ln(5*ln(-1/2*x))^3+50*ln(3)^2)/(x^2*exp(4)^2*ln(-1/2*x)*ln(5*ln(-1/2*x))^3-25*x*ln(3)^2*ln(-1/2*x)*ln(5*ln(-1/2*x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-2 \ln \left(\ln \left(5 \ln \left(-\frac{x}{2}\right)\right)\right)+\ln \left(\ln \left(5 \ln \left(-\frac{x}{2}\right)\right)^{2}-\frac{25 \ln \left(3\right)^{2} {\mathrm e}^{-8}}{x}\right)$&$36$\\ \hline \end{longtable}"," ",0,"ln(x)-2*ln(ln(5*ln(-1/2*x)))+ln(ln(5*ln(-1/2*x))^2-25*ln(3)^2*exp(-8)/x)","A"
1318,1,31,25,0.211000," ","int(((((-6*x^6*exp(x)-x^2+x)*exp((x^6*exp(x)-x)/exp(x))+exp(x))*exp(exp((x^6*exp(x)-x)/exp(x)))+(x^2-1)*exp(x))*exp((-exp(exp((x^6*exp(x)-x)/exp(x)))+x^2+1)/x)+exp(x)*x^2)/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{-{\mathrm e}^{{\mathrm e}^{x \left(x^{5} {\mathrm e}^{x}-1\right) {\mathrm e}^{-x}}}+x^{2}+1}{x}}$&$31$\\ \hline \end{longtable}"," ",0,"x+exp((-exp(exp(x*(x^5*exp(x)-1)*exp(-x)))+x^2+1)/x)","A"
1319,1,7,7,0.207000," ","int(256/(256*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(256 x +1\right)$&$7$\\ norman&$\ln \left(256 x +1\right)$&$7$\\ meijerg&$\ln \left(256 x +1\right)$&$7$\\ risch&$\ln \left(256 x +1\right)$&$7$\\ \hline \end{longtable}"," ",0,"ln(256*x+1)","A"
1320,1,47,28,0.102000," ","int((((-15*exp(4)^2-120*exp(4)-240)*ln(5)+5*x^2)*ln(x)*ln(ln(x))+(-15*exp(4)^2-120*exp(4)+5*x-240)*ln(5)+15*x*exp(4)^2+120*x*exp(4)-5*x^2+240*x)/((9*exp(4)^4+144*exp(4)^3+(-6*x+864)*exp(4)^2+(-48*x+2304)*exp(4)+x^2-96*x+2304)*ln(5)^2+(-18*x*exp(4)^4-288*x*exp(4)^3+(12*x^2-1728*x)*exp(4)^2+(96*x^2-4608*x)*exp(4)-2*x^3+192*x^2-4608*x)*ln(5)+9*x^2*exp(4)^4+144*x^2*exp(4)^3+(-6*x^3+864*x^2)*exp(4)^2+(-48*x^3+2304*x^2)*exp(4)+x^4-96*x^3+2304*x^2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 x \ln \left(\ln \left(x \right)\right)}{3 \ln \left(5\right) {\mathrm e}^{8}-3 x \,{\mathrm e}^{8}+24 \,{\mathrm e}^{4} \ln \left(5\right)-x \ln \left(5\right)-24 x \,{\mathrm e}^{4}+x^{2}+48 \ln \left(5\right)-48 x}$&$47$\\ \hline \end{longtable}"," ",0,"-5*x/(3*ln(5)*exp(8)-3*x*exp(8)+24*exp(4)*ln(5)-x*ln(5)-24*x*exp(4)+x^2+48*ln(5)-48*x)*ln(ln(x))","A"
1321,1,22,22,0.022000," ","int((-x*exp(exp(4)-x+1)*ln(x)^2*exp(exp(exp(4)-x+1))+(2*x^2+x)*ln(x)-x^2-x-3)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}+x +3}{\ln \left(x \right)}+{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{4}-x +1}}$&$22$\\ default&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{4}-x +1}}+\frac{x^{2}}{\ln \left(x \right)}+\frac{x}{\ln \left(x \right)}+\frac{3}{\ln \left(x \right)}$&$31$\\ \hline \end{longtable}"," ",0,"(x^2+x+3)/ln(x)+exp(exp(exp(4)-x+1))","A"
1322,1,25,24,0.094000," ","int((-x*ln(x)^2+(-2*x*exp(4)-10*x^2-30*x)*ln(x)-x*exp(4)^2+(-10*x^2-30*x)*exp(4)-10*x-40)/(3*x*ln(x)^2+(6*x*exp(4)+30*x^2+120*x)*ln(x)+3*x*exp(4)^2+(30*x^2+120*x)*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x}{3}-\frac{\ln \left({\mathrm e}^{4}+\ln \left(x \right)\right)}{3}+\frac{\ln \left({\mathrm e}^{4}+10 x +\ln \left(x \right)+40\right)}{3}$&$25$\\ risch&$-\frac{x}{3}-\frac{\ln \left({\mathrm e}^{4}+\ln \left(x \right)\right)}{3}+\frac{\ln \left({\mathrm e}^{4}+10 x +\ln \left(x \right)+40\right)}{3}$&$25$\\ \hline \end{longtable}"," ",0,"-1/3*x-1/3*ln(exp(4)+ln(x))+1/3*ln(exp(4)+10*x+ln(x)+40)","A"
1323,1,30,25,0.046000," ","int(((6*x*exp(3)+9*x^3-2)*ln(x)+(-6*x^3+6*x^2)*exp(3)-9*x^5+27*x^4-9*x^3-7*x^2-2*x)/(9*x^3*ln(x)-9*x^5+9*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{1}{9}+x^{3}-\frac{2 x \,{\mathrm e}^{3}}{3}}{x^{2}}-\ln \left(x^{2}-x -\ln \left(x \right)\right)$&$30$\\ risch&$-\frac{-9 x^{3}+6 x \,{\mathrm e}^{3}-1}{9 x^{2}}-\ln \left(\ln \left(x \right)+x -x^{2}\right)$&$31$\\ \hline \end{longtable}"," ",0,"(1/9+x^3-2/3*x*exp(3))/x^2-ln(x^2-x-ln(x))","A"
1324,1,27,27,0.029000," ","int(((-3*x^8+4*x^7)*ln(x)+3*x^9-5*x^8+x^7+6*x^3+2*x^2+15*x+15)/(x^8*ln(x)-x^9-2*x^3-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-3 x -3 \ln \left(x \right)+\ln \left(x^{8}-x^{7} \ln \left(x \right)+2 x^{2}+5\right)$&$27$\\ risch&$-3 x +4 \ln \left(x \right)+\ln \left(\ln \left(x \right)-\frac{x^{8}+2 x^{2}+5}{x^{7}}\right)$&$28$\\ \hline \end{longtable}"," ",0,"-3*x-3*ln(x)+ln(x^8-x^7*ln(x)+2*x^2+5)","A"
1325,1,17,16,0.054000," ","int((-2*ln(-2*ln(5)+3)-2)*exp((ln(-2*ln(5)+3)+1)/x)^2/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{2 \ln \left(-2 \ln \left(5\right)+3\right)+2}{x}}$&$17$\\ derivativedivides&$-\frac{\left(-2 \ln \left(-2 \ln \left(5\right)+3\right)-2\right) {\mathrm e}^{\frac{2 \ln \left(-2 \ln \left(5\right)+3\right)+2}{x}}}{2 \left(\ln \left(-2 \ln \left(5\right)+3\right)+1\right)}$&$41$\\ default&$-\frac{\left(-2 \ln \left(-2 \ln \left(5\right)+3\right)-2\right) {\mathrm e}^{\frac{2 \ln \left(-2 \ln \left(5\right)+3\right)+2}{x}}}{2 \left(\ln \left(-2 \ln \left(5\right)+3\right)+1\right)}$&$41$\\ risch&$-\frac{\left(-2 \ln \left(-2 \ln \left(5\right)+3\right)-2\right) \left(-2 \ln \left(5\right)+3\right)^{\frac{2}{x}} {\mathrm e}^{\frac{2}{x}}}{2 \left(\ln \left(-2 \ln \left(5\right)+3\right)+1\right)}$&$43$\\ gosper&\verb|error in isolve/isolve: invalid subscript selector\|& N/A\\ \hline \end{longtable}"," ",0,"exp((ln(-2*ln(5)+3)+1)/x)^2","A"
1326,1,74,24,0.255000," ","int(((((-exp(x)-x^2)*ln(x)+x^2+exp(x))*ln(x^2+exp(x))+(exp(x)*x+2*x^2)*ln(x)+exp(x)*x^2+2*x^3)*exp((x+ln(x))*ln(x^2+exp(x))/x)*exp(exp((x+ln(x))*ln(x^2+exp(x))/x))+2*exp(x)*x+2*x^3)/((exp(x)*x^2+x^4)*exp(exp((x+ln(x))*ln(x^2+exp(x))/x))+(exp(x)*x^2+x^4)*ln(x^2)-exp(x)*x^2-x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{\left(x^{2}+{\mathrm e}^{x}\right)^{\frac{x +\ln \left(x \right)}{x}}}-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)-2 i\right)}{2}\right)$&$74$\\ \hline \end{longtable}"," ",0,"ln(exp((x^2+exp(x))^((x+ln(x))/x))-1/2*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)-2*I))","C"
1327,0,0,26,180.000000," ","int((8*x^2*exp(5)^4*exp(x)^2*ln(2/x)^2-8*x*exp(5)^4*exp(x)^2*ln(2/x)+2*x*exp(5)^4)*exp(2*exp(x)^2*ln(2/x)^2)^2+(-40*x*exp(5)^2*exp(x)^2*ln(2/x)^2+40*exp(5)^2*exp(x)^2*ln(2/x)-10*exp(5)^2)*exp(2*exp(x)^2*ln(2/x)^2),x)","\[\int \left(8 x^{2} {\mathrm e}^{20} {\mathrm e}^{2 x} \ln \left(\frac{2}{x}\right)^{2}-8 x \,{\mathrm e}^{20} {\mathrm e}^{2 x} \ln \left(\frac{2}{x}\right)+2 x \,{\mathrm e}^{20}\right) {\mathrm e}^{4 \,{\mathrm e}^{2 x} \ln \left(\frac{2}{x}\right)^{2}}+\left(-40 x \,{\mathrm e}^{10} {\mathrm e}^{2 x} \ln \left(\frac{2}{x}\right)^{2}+40 \,{\mathrm e}^{10} {\mathrm e}^{2 x} \ln \left(\frac{2}{x}\right)-10 \,{\mathrm e}^{10}\right) {\mathrm e}^{2 \,{\mathrm e}^{2 x} \ln \left(\frac{2}{x}\right)^{2}}\, dx\]"," ",0,"int((8*x^2*exp(5)^4*exp(x)^2*ln(2/x)^2-8*x*exp(5)^4*exp(x)^2*ln(2/x)+2*x*exp(5)^4)*exp(2*exp(x)^2*ln(2/x)^2)^2+(-40*x*exp(5)^2*exp(x)^2*ln(2/x)^2+40*exp(5)^2*exp(x)^2*ln(2/x)-10*exp(5)^2)*exp(2*exp(x)^2*ln(2/x)^2),x)","F"
1328,1,14,18,0.021000," ","int((15*x*ln(x)-270*x^2+360*x-20)/(x*ln(x)-18*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$15 x -20 \ln \left(\ln \left(x \right)-18 x \right)$&$14$\\ norman&$15 x -20 \ln \left(18 x -\ln \left(x \right)\right)$&$16$\\ \hline \end{longtable}"," ",0,"15*x-20*ln(ln(x)-18*x)","A"
1329,1,32,24,0.039000," ","int((((2*x^4-4*x^3+2*x^2+x)*exp((x^3-x^2+4*x-5)/(x-1))+(x^3-2*x^2+x)*exp(2+x))*ln(x)+(x^2-2*x+1)*exp((x^3-x^2+4*x-5)/(x-1))+(x^2-2*x+1)*exp(2+x))/((x^3-2*x^2+x)*exp((x^3-x^2+4*x-5)/(x-1))+(x^3-2*x^2+x)*exp(2+x))/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{\frac{x^{3}-x^{2}+4 x -5}{x -1}}+{\mathrm e}^{2+x}\right)-4+\ln \left(\ln \left(x \right)\right)$&$32$\\ \hline \end{longtable}"," ",0,"ln(exp((x^3-x^2+4*x-5)/(x-1))+exp(2+x))-4+ln(ln(x))","A"
1330,1,18,17,0.031000," ","int(1/16*(15*exp(x^2+8*x+16)-40*x^3-160*x^2+40*x)/exp(x^2+8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{15 x}{16}+\frac{5 x^{2} {\mathrm e}^{-\left(4+x \right)^{2}}}{4}$&$18$\\ default&$\frac{15 x}{16}+\frac{5 x^{2} {\mathrm e}^{-x^{2}-8 x -16}}{4}$&$21$\\ norman&$\left(\frac{5 x^{2}}{4}+\frac{15 x \,{\mathrm e}^{x^{2}+8 x +16}}{16}\right) {\mathrm e}^{-x^{2}-8 x -16}$&$31$\\ \hline \end{longtable}"," ",0,"15/16*x+5/4*x^2*exp(-(4+x)^2)","A"
1331,1,59,29,0.046000," ","int(((-50*ln(x)+100)*ln(ln(x)-2)^4+100*ln(x)*ln(ln(x)-2)^3+(-10*x*ln(x)^2+(40*x+100)*ln(x)-40*x-200)*ln(ln(x)-2)^2+(-20*ln(x)^3+(-20*x-100)*ln(x))*ln(ln(x)-2)+2*ln(x)^5+(2*x-4)*ln(x)^4-4*x*ln(x)^3+(2*x^2+10*x)*ln(x)^2+(-6*x^2-40*x-50)*ln(x)+4*x^2+40*x+100)/(x*ln(x)^4-2*x*ln(x)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 \ln \left(\ln \left(x \right)-2\right)^{4}}{\ln \left(x \right)^{2}}-\frac{10 \left(\ln \left(x \right)^{2}+x +5\right) \ln \left(\ln \left(x \right)-2\right)^{2}}{\ln \left(x \right)^{2}}+\frac{\ln \left(x \right)^{4}+2 x \ln \left(x \right)^{2}+x^{2}+10 x +25}{\ln \left(x \right)^{2}}$&$59$\\ \hline \end{longtable}"," ",0,"25/ln(x)^2*ln(ln(x)-2)^4-10*(ln(x)^2+x+5)/ln(x)^2*ln(ln(x)-2)^2+(ln(x)^4+2*x*ln(x)^2+x^2+10*x+25)/ln(x)^2","A"
1332,1,23,27,0.031000," ","int(((-32*x^3+32*x^2)*ln(x)^2+(-16*x^4+16*x^3+16)*ln(x)-2*x^5+2*x^4+8*x+16)/(16*x^2*ln(x)^2+8*x^3*ln(x)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+2 x -\frac{4}{x \left(4 \ln \left(x \right)+x \right)}$&$23$\\ norman&$\frac{-4+8 x^{2} \ln \left(x \right)+2 x^{3}-x^{4}-4 x^{3} \ln \left(x \right)}{x \left(4 \ln \left(x \right)+x \right)}$&$39$\\ \hline \end{longtable}"," ",0,"-x^2+2*x-4/x/(4*ln(x)+x)","A"
1333,1,104,22,0.274000," ","int(((-81*x^2*exp(1)-27*x^3+27)*ln(exp(1)+1/3*x)^3+((81*x^5-729*x^2)*exp(1)+27*x^6-270*x^3+243)*ln(exp(1)+1/3*x)^2+((-27*x^8+486*x^5-2187*x^2)*exp(1)-9*x^9+171*x^6-891*x^3+729)*ln(exp(1)+1/3*x)+(3*x^11-81*x^8+729*x^5-2187*x^2+81)*exp(1)+x^12-28*x^9+270*x^6-972*x^3+27*x+729)/(81*exp(1)+27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}+\frac{x}{3}\right)^{4}}{4}+\left(-\frac{x^{3}}{3}+3\right) \ln \left({\mathrm e}+\frac{x}{3}\right)^{3}+\left(\frac{1}{6} x^{6}-3 x^{3}+\frac{27}{2}\right) \ln \left({\mathrm e}+\frac{x}{3}\right)^{2}+\left(-\frac{1}{27} x^{9}+x^{6}-9 x^{3}\right) \ln \left({\mathrm e}+\frac{x}{3}\right)+\frac{x^{12}}{324}-\frac{x^{9}}{9}+\frac{3 x^{6}}{2}-9 x^{3}+x +27 \ln \left(3 \,{\mathrm e}+x \right)$&$104$\\ derivativedivides&$\text{Expression too large to display}$&$1598$\\ default&$\text{Expression too large to display}$&$1598$\\ \hline \end{longtable}"," ",0,"1/4*ln(exp(1)+1/3*x)^4+(-1/3*x^3+3)*ln(exp(1)+1/3*x)^3+(1/6*x^6-3*x^3+27/2)*ln(exp(1)+1/3*x)^2+(-1/27*x^9+x^6-9*x^3)*ln(exp(1)+1/3*x)+1/324*x^12-1/9*x^9+3/2*x^6-9*x^3+x+27*ln(3*exp(1)+x)","B"
1334,1,21,23,0.163000," ","int((exp(2*x+ln(x)-5)^2+(-2*x^2+2*x+24)*exp(2*x+ln(x)-5)+x^4-25*x^2+132)/(exp(2*x+ln(x)-5)^2+(-2*x^2+24)*exp(2*x+ln(x)-5)+x^4-24*x^2+144),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x}{x^{2}-x \,{\mathrm e}^{2 x -5}-12}$&$21$\\ norman&$\frac{x^{3}-11 x -x \,{\mathrm e}^{2 x +\ln \left(x \right)-5}}{x^{2}-{\mathrm e}^{2 x +\ln \left(x \right)-5}-12}$&$37$\\ \hline \end{longtable}"," ",0,"x+x/(x^2-x*exp(2*x-5)-12)","A"
1335,1,43,24,0.069000," ","int(((exp(1)*exp(x)+2*exp(1))*ln(exp(x)+2)+((-x-4)*exp(1)-2*x^3+x^2)*exp(x)+(-2*x^2-8)*exp(1)-4*x^3+2*x^2)/(exp(x)*x^2+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(1-{\mathrm e}\right) x^{2}+{\mathrm e} x \ln \left({\mathrm e}^{x}+2\right)-x^{3}-{\mathrm e} \ln \left({\mathrm e}^{x}+2\right)+4 \,{\mathrm e}}{x}$&$43$\\ risch&$-\frac{{\mathrm e} \ln \left({\mathrm e}^{x}+2\right)}{x}+\frac{{\mathrm e} x \ln \left({\mathrm e}^{x}+2\right)-x^{2} {\mathrm e}-x^{3}+x^{2}+4 \,{\mathrm e}}{x}$&$47$\\ \hline \end{longtable}"," ",0,"((1-exp(1))*x^2+exp(1)*x*ln(exp(x)+2)-x^3-exp(1)*ln(exp(x)+2)+4*exp(1))/x","A"
1336,1,92,22,0.056000," ","int((((2*x^4+4*x^3)*exp(x-2)^2+(2*x^5+10*x^4-2*x^3-8*x^2-4*x)*exp(x-2)+6*x^5-8*x^3-6*x^2+2*x+2)*exp(x)^2+(10*x^4*exp(x-2)-2*x^6+12*x^5+2*x^4-6*x^3-6*x^2)*exp(x)-2*x^6+6*x^5)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4} {\mathrm e}^{2 x -4}+2 \,{\mathrm e}^{-2} x^{5}+x^{6}-2 x^{4}-2 x^{3}+x^{2}+2 x +\left(2 \,{\mathrm e}^{-2} x^{5}-2 \,{\mathrm e}^{-2} x^{3}-2 x^{2} {\mathrm e}^{-2}\right) {\mathrm e}^{x}+\left(2 x^{6}-2 x^{4}-2 x^{3}\right) {\mathrm e}^{-x}+{\mathrm e}^{-2 x} x^{6}$&$92$\\ default&$x^{6}-2 x^{4}-2 x^{3}+x^{2}+2 x -2 x^{3} {\mathrm e}^{-x}-2 x^{4} {\mathrm e}^{-x}+2 \,{\mathrm e}^{-2} x^{5}+{\mathrm e}^{-2 x} x^{6}+2 \,{\mathrm e}^{-x} x^{6}-4 \,{\mathrm e}^{-2} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)-8 \,{\mathrm e}^{-2} \left({\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right)-2 \,{\mathrm e}^{-2} \left({\mathrm e}^{x} x^{3}-3 \,{\mathrm e}^{x} x^{2}+6 \,{\mathrm e}^{x} x -6 \,{\mathrm e}^{x}\right)+10 \,{\mathrm e}^{-2} \left({\mathrm e}^{x} x^{4}-4 \,{\mathrm e}^{x} x^{3}+12 \,{\mathrm e}^{x} x^{2}-24 \,{\mathrm e}^{x} x +24 \,{\mathrm e}^{x}\right)+2 \,{\mathrm e}^{-2} \left(x^{5} {\mathrm e}^{x}-5 \,{\mathrm e}^{x} x^{4}+20 \,{\mathrm e}^{x} x^{3}-60 \,{\mathrm e}^{x} x^{2}+120 \,{\mathrm e}^{x} x -120 \,{\mathrm e}^{x}\right)+4 \,{\mathrm e}^{-4} \left(\frac{{\mathrm e}^{2 x} x^{3}}{2}-\frac{3 \,{\mathrm e}^{2 x} x^{2}}{4}+\frac{3 x \,{\mathrm e}^{2 x}}{4}-\frac{3 \,{\mathrm e}^{2 x}}{8}\right)+2 \,{\mathrm e}^{-4} \left(\frac{{\mathrm e}^{2 x} x^{4}}{2}-{\mathrm e}^{2 x} x^{3}+\frac{3 \,{\mathrm e}^{2 x} x^{2}}{2}-\frac{3 x \,{\mathrm e}^{2 x}}{2}+\frac{3 \,{\mathrm e}^{2 x}}{4}\right)$&$283$\\ \hline \end{longtable}"," ",0,"x^4*exp(2*x-4)+2*exp(-2)*x^5+x^6-2*x^4-2*x^3+x^2+2*x+(2*exp(-2)*x^5-2*exp(-2)*x^3-2*x^2*exp(-2))*exp(x)+(2*x^6-2*x^4-2*x^3)*exp(-x)+exp(-2*x)*x^6","B"
1337,1,41,28,0.120000," ","int(((-2*exp(x)-x)*exp(-ln(2*exp(x)+x)+x)^2+((8*x+16)*exp(x)+4*x^2+7*x+1)*exp(-ln(2*exp(x)+x)+x)+(-8*x^2-32*x-28)*exp(x)-4*x^3-16*x^2-14*x)/((2*exp(x)+x)*exp(-ln(2*exp(x)+x)+x)^2+((-8*x-16)*exp(x)-4*x^2-8*x)*exp(-ln(2*exp(x)+x)+x)+(8*x^2+32*x+32)*exp(x)+4*x^3+16*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{1}{2 \left(x +\frac{7}{4}\right)}+\frac{x}{\left(4 x +7\right) \left(2 x^{2}+4 \,{\mathrm e}^{x} x +4 x +7 \,{\mathrm e}^{x}\right)}$&$41$\\ norman&$\frac{-\frac{52 x^{3}}{15}-\frac{4 \,{\mathrm e}^{2 x}}{15}+\frac{x^{2}}{15}-\frac{193 \,{\mathrm e}^{x} x^{2}}{15}-\frac{178 x \,{\mathrm e}^{2 x}}{15}-2 x^{4}-8 \,{\mathrm e}^{x} x^{3}-8 \,{\mathrm e}^{2 x} x^{2}}{\left(2 \,{\mathrm e}^{x}+x \right) \left(2 x^{2}+4 \,{\mathrm e}^{x} x +4 x +7 \,{\mathrm e}^{x}\right)}$&$82$\\ \hline \end{longtable}"," ",0,"-x-1/2/(x+7/4)+x/(4*x+7)/(2*x^2+4*exp(x)*x+4*x+7*exp(x))","A"
1338,1,28,20,0.026000," ","int(2*ln(x)^2+1/72*(-576*x+288)*ln(x)+1/72*(4*x+1)*exp(2*x)^2+6*x^2-4*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{3}+2 x \ln \left(x \right)^{2}-4 x^{2} \ln \left(x \right)+\frac{x \,{\mathrm e}^{4 x}}{72}$&$28$\\ default&$2 x^{3}+2 x \ln \left(x \right)^{2}-4 x^{2} \ln \left(x \right)+\frac{x \,{\mathrm e}^{4 x}}{72}$&$30$\\ \hline \end{longtable}"," ",0,"2*x^3+2*x*ln(x)^2-4*x^2*ln(x)+1/72*x*exp(4*x)","A"
1339,1,15,14,0.147000," ","int((-exp(x-exp(1))*exp(exp(x-exp(1)))-2*x)/(exp(exp(x-exp(1)))^2+2*x^2*exp(exp(x-exp(1)))+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1}{x^{2}+{\mathrm e}^{{\mathrm e}^{x -{\mathrm e}}}}$&$15$\\ risch&$\frac{1}{x^{2}+{\mathrm e}^{{\mathrm e}^{x -{\mathrm e}}}}$&$15$\\ \hline \end{longtable}"," ",0,"1/(x^2+exp(exp(x-exp(1))))","A"
1340,1,22,23,0.125000," ","int((((-15*x^5+40*x^4-20*x^3)*exp(1)+x^2)*exp((5*x^3-20*x^2+20*x)*exp(1))+162*x)/(x^2*exp((5*x^3-20*x^2+20*x)*exp(1))^2+162*x*exp((5*x^3-20*x^2+20*x)*exp(1))+6561),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{x \,{\mathrm e}^{5 x \left(x -2\right)^{2} {\mathrm e}}+81}$&$22$\\ norman&$\frac{x^{2}}{x \,{\mathrm e}^{\left(5 x^{3}-20 x^{2}+20 x \right) {\mathrm e}}+81}$&$29$\\ \hline \end{longtable}"," ",0,"x^2/(x*exp(5*x*(x-2)^2*exp(1))+81)","A"
1341,1,16,24,0.258000," ","int((-exp(exp(5))-x^2)/(x*exp(exp(5))-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)+\ln \left(x^{2}-{\mathrm e}^{{\mathrm e}^{5}}\right)$&$16$\\ norman&$-\ln \left(x \right)+\ln \left(-x^{2}+{\mathrm e}^{{\mathrm e}^{5}}\right)$&$16$\\ risch&$-\ln \left(x \right)+\ln \left(x^{2}-{\mathrm e}^{{\mathrm e}^{5}}\right)$&$16$\\ meijerg&$\ln \left(1-x^{2} {\mathrm e}^{-{\mathrm e}^{5}}\right)-\ln \left(x \right)+\frac{{\mathrm e}^{5}}{2}-\frac{i \pi}{2}$&$27$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(x^2-exp(exp(5)))","A"
1342,1,12,18,0.260000," ","int((12*x^2+336*x+1960)/(x^2+28*x+196),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$12 x +\frac{392}{x +14}$&$12$\\ risch&$12 x +\frac{392}{x +14}$&$12$\\ norman&$\frac{12 x^{2}-1960}{x +14}$&$14$\\ gosper&$\frac{12 x^{2}-1960}{x +14}$&$15$\\ meijerg&$-\frac{14 x}{1+\frac{x}{14}}+\frac{4 x \left(\frac{3 x}{14}+6\right)}{1+\frac{x}{14}}$&$27$\\ \hline \end{longtable}"," ",0,"12*x+392/(x+14)","A"
1343,1,14,13,0.029000," ","int(1/128*((-x^2+x)*ln(x)^2+x*ln(x))/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} \ln \left(x \right)^{2} {\mathrm e}^{-2 x}}{256}$&$14$\\ \hline \end{longtable}"," ",0,"1/256*x^2*ln(x)^2*exp(-2*x)","A"
1344,1,17,16,0.021000," ","int((-x*ln(x)+x^2+3*x+1)/(x*ln(x)+5*exp(x)*x-x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x +\ln \left(x -5 \,{\mathrm e}^{x}-\ln \left(x \right)+4\right)$&$17$\\ risch&$\ln \left(\ln \left(x \right)+5 \,{\mathrm e}^{x}-4-x \right)-x$&$17$\\ \hline \end{longtable}"," ",0,"-x+ln(x-5*exp(x)-ln(x)+4)","A"
1345,0,0,31,0.017000," ","int(((2*x^2*ln(x^2)+4*x^2)*ln(2+ln(x^2))+(4*x^2*ln(2)-3*x^3+x)*ln(x^2)+8*x^2*ln(2)-6*x^3+2*x^2+2*x-2)/(((x^3-x)*ln(x^2)+2*x^3-2*x)*ln(2+ln(x^2))+(2*x^3*ln(2)-x^4+x^2)*ln(x^2)+4*x^3*ln(2)-2*x^4+2*x^2),x)","\[\int \frac{\left(2 x^{2} \ln \left(x^{2}\right)+4 x^{2}\right) \ln \left(2+\ln \left(x^{2}\right)\right)+\left(4 x^{2} \ln \left(2\right)-3 x^{3}+x \right) \ln \left(x^{2}\right)+8 x^{2} \ln \left(2\right)-6 x^{3}+2 x^{2}+2 x -2}{\left(\left(x^{3}-x \right) \ln \left(x^{2}\right)+2 x^{3}-2 x \right) \ln \left(2+\ln \left(x^{2}\right)\right)+\left(2 x^{3} \ln \left(2\right)-x^{4}+x^{2}\right) \ln \left(x^{2}\right)+4 x^{3} \ln \left(2\right)-2 x^{4}+2 x^{2}}\, dx\]"," ",0,"int(((2*x^2*ln(x^2)+4*x^2)*ln(2+ln(x^2))+(4*x^2*ln(2)-3*x^3+x)*ln(x^2)+8*x^2*ln(2)-6*x^3+2*x^2+2*x-2)/(((x^3-x)*ln(x^2)+2*x^3-2*x)*ln(2+ln(x^2))+(2*x^3*ln(2)-x^4+x^2)*ln(x^2)+4*x^3*ln(2)-2*x^4+2*x^2),x)","F"
1346,1,20,19,0.031000," ","int((12*exp(x-5)-24*x-15)/(4*exp(x-5)-4*x^2-5*x-16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$3 \ln \left(4 \,{\mathrm e}^{x -5}-4 x^{2}-5 x -16\right)$&$20$\\ default&$3 \ln \left(4 \,{\mathrm e}^{x -5}-4 x^{2}-5 x -16\right)$&$20$\\ norman&$3 \ln \left(4 x^{2}+5 x -4 \,{\mathrm e}^{x -5}+16\right)$&$20$\\ risch&$15+3 \ln \left(-x^{2}-\frac{5 x}{4}+{\mathrm e}^{x -5}-4\right)$&$20$\\ \hline \end{longtable}"," ",0,"3*ln(4*exp(x-5)-4*x^2-5*x-16)","A"
1347,1,21,20,0.072000," ","int(1/8*(8*x-8)*exp(2/x)+3/8*x^2-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{x^{3}}{8}-2 x +\frac{x^{2} {\mathrm e}^{\frac{2}{x}}}{2}$&$21$\\ default&$\frac{x^{3}}{8}-2 x +\frac{x^{2} {\mathrm e}^{\frac{2}{x}}}{2}$&$21$\\ norman&$\frac{x^{3}}{8}-2 x +\frac{x^{2} {\mathrm e}^{\frac{2}{x}}}{2}$&$21$\\ risch&$\frac{x^{3}}{8}-2 x +\frac{x^{2} {\mathrm e}^{\frac{2}{x}}}{2}$&$21$\\ \hline \end{longtable}"," ",0,"1/8*x^3-2*x+1/2*x^2*exp(2/x)","A"
1348,1,52,32,0.081000," ","int((15*exp(x)^4*exp(1/5*exp(exp(x)))^2+(-30*exp(x)^2*exp(exp(x))^2-12*exp(x)^5*exp(exp(x))-180*exp(x)^4)*exp(1/5*exp(exp(x)))+15*exp(exp(x))^4+(120*exp(x)^3+60*exp(x)^2)*exp(exp(x))^2+540*exp(x)^4)/(5*x^2*exp(x)^4*exp(1/5*exp(exp(x)))^2+(-10*x^2*exp(x)^2*exp(exp(x))^2+(-60*x^2+40*x)*exp(x)^4)*exp(1/5*exp(exp(x)))+5*x^2*exp(exp(x))^4+(60*x^2-40*x)*exp(x)^2*exp(exp(x))^2+(180*x^2-240*x+80)*exp(x)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3}{x}+\frac{12 \,{\mathrm e}^{2 x}}{x \left(x \,{\mathrm e}^{2 x +\frac{{\mathrm e}^{{\mathrm e}^{x}}}{5}}-6 x \,{\mathrm e}^{2 x}-x \,{\mathrm e}^{2 \,{\mathrm e}^{x}}+4 \,{\mathrm e}^{2 x}\right)}$&$52$\\ \hline \end{longtable}"," ",0,"-3/x+12/x*exp(2*x)/(x*exp(2*x+1/5*exp(exp(x)))-6*x*exp(2*x)-x*exp(2*exp(x))+4*exp(2*x))","A"
1349,1,7,8,0.013000," ","int(-5/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$5 \,{\mathrm e}^{-x}$&$7$\\ derivativedivides&$5 \,{\mathrm e}^{-x}$&$7$\\ default&$5 \,{\mathrm e}^{-x}$&$7$\\ norman&$5 \,{\mathrm e}^{-x}$&$7$\\ risch&$5 \,{\mathrm e}^{-x}$&$7$\\ meijerg&$-5+5 \,{\mathrm e}^{-x}$&$9$\\ \hline \end{longtable}"," ",0,"5/exp(x)","A"
1350,1,380,26,0.330000," ","int(((24*x^7-18*x^6-96*x^5-120*x^4)*exp(x)^4+((72*x^8-48*x^7-576*x^6-192*x^5+1152*x^4+1536*x^3)*ln(2)+288*x^8-192*x^7-2232*x^6-864*x^5+4320*x^4+5760*x^3)*exp(x)^3+((72*x^9-36*x^8-864*x^7-144*x^6+3456*x^5+2880*x^4-4608*x^3-6912*x^2)*ln(2)^2+(576*x^9-288*x^8-6768*x^7-1368*x^6+26496*x^5+23040*x^4-34560*x^3-51840*x^2)*ln(2)+1152*x^9-576*x^8-13248*x^7-3168*x^6+50760*x^5+45900*x^4-64800*x^3-97200*x^2)*exp(x)^2+((24*x^10-384*x^8-192*x^7+2304*x^6+2304*x^5-6144*x^4-9216*x^3+6144*x^2+12288*x)*ln(2)^3+(288*x^10-4536*x^8-2448*x^7+26784*x^6+28224*x^5-70272*x^4-108288*x^3+69120*x^2+138240*x)*ln(2)^2+(1152*x^10-17856*x^8-10368*x^7+103752*x^6+114912*x^5-267840*x^4-423360*x^3+259200*x^2+518400*x)*ln(2)+1536*x^10-23424*x^8-14592*x^7+133920*x^6+155520*x^5-340200*x^4-550800*x^3+324000*x^2+648000*x)*exp(x)+(6*x^10-120*x^8+960*x^6-3840*x^4+7680*x^2-6144)*ln(2)^4+(96*x^10-1944*x^8+15552*x^6-61440*x^4+119808*x^2-92160)*ln(2)^3+(576*x^10-11808*x^8+94356*x^6-367920*x^4+699840*x^2-518400)*ln(2)^2+(1536*x^10-31872*x^8+254112*x^6-977400*x^4+1814400*x^2-1296000)*ln(2)+1536*x^10-32256*x^8+256320*x^6-972000*x^4+1761750*x^2-1215000)/(x^10-20*x^8+160*x^6-640*x^4+1280*x^2-1024),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$6 x \ln \left(2\right)^{4}+96 x \ln \left(2\right)^{3}+576 x \ln \left(2\right)^{2}+1536 x \ln \left(2\right)+1536 x +\frac{\left(24 \ln \left(2\right)^{3}+288 \ln \left(2\right)^{2}+1152 \ln \left(2\right)+1536\right) x^{7}+\left(-288 \ln \left(2\right)^{3}-3420 \ln \left(2\right)^{2}-13536 \ln \left(2\right)-17856\right) x^{5}+\left(1152 \ln \left(2\right)^{3}+13536 \ln \left(2\right)^{2}+53016 \ln \left(2\right)+69216\right) x^{3}+\left(-1536 \ln \left(2\right)^{3}-17856 \ln \left(2\right)^{2}-69216 \ln \left(2\right)-89466\right) x}{x^{8}-16 x^{6}+96 x^{4}-256 x^{2}+256}+\frac{6 x^{5} {\mathrm e}^{4 x}}{\left(x^{2}-4\right)^{4}}+\frac{24 x^{4} \left(x^{2} \ln \left(2\right)+4 x^{2}-4 \ln \left(2\right)-15\right) {\mathrm e}^{3 x}}{\left(x^{2}-4\right)^{4}}+\frac{36 x^{3} \left(x^{4} \ln \left(2\right)^{2}+8 x^{4} \ln \left(2\right)-8 x^{2} \ln \left(2\right)^{2}+16 x^{4}-62 x^{2} \ln \left(2\right)+16 \ln \left(2\right)^{2}-120 x^{2}+120 \ln \left(2\right)+225\right) {\mathrm e}^{2 x}}{\left(x^{2}-4\right)^{4}}+\frac{24 x^{2} \left(x^{6} \ln \left(2\right)^{3}+12 x^{6} \ln \left(2\right)^{2}-12 x^{4} \ln \left(2\right)^{3}+48 x^{6} \ln \left(2\right)-141 x^{4} \ln \left(2\right)^{2}+64 x^{6}+48 x^{2} \ln \left(2\right)^{3}-552 x^{4} \ln \left(2\right)+552 x^{2} \ln \left(2\right)^{2}-720 x^{4}-64 \ln \left(2\right)^{3}+2115 x^{2} \ln \left(2\right)-720 \ln \left(2\right)^{2}+2700 x^{2}-2700 \ln \left(2\right)-3375\right) {\mathrm e}^{x}}{\left(x^{2}-4\right)^{4}}$&$380$\\ default&$1536 x -\frac{9 \ln \left(2\right)^{2}}{2 \left(2+x \right)^{2}}+1536 \,{\mathrm e}^{x}+24 \ln \left(2\right)^{3} {\mathrm e}^{x}+288 \ln \left(2\right)^{2} {\mathrm e}^{x}+96 x \ln \left(2\right)^{3}+\frac{3}{64 \left(x -2\right)^{4}}+1152 \,{\mathrm e}^{x} \ln \left(2\right)+\frac{768}{2+x}+6 x \ln \left(2\right)^{4}+576 x \ln \left(2\right)^{2}+1536 x \ln \left(2\right)+\frac{768}{x -2}+\frac{3 \,{\mathrm e}^{x}}{8 \left(2+x \right)^{4}}+\frac{18717 \,{\mathrm e}^{x}}{64 \left(2+x \right)^{2}}-\frac{18 \,{\mathrm e}^{x}}{\left(2+x \right)^{3}}-\frac{214755 \,{\mathrm e}^{x}}{128 \left(2+x \right)}+\frac{18 \,{\mathrm e}^{x}}{\left(x -2\right)^{3}}+\frac{214755 \,{\mathrm e}^{x}}{128 \left(x -2\right)}+\frac{18717 \,{\mathrm e}^{x}}{64 \left(x -2\right)^{2}}+\frac{3 \,{\mathrm e}^{x}}{8 \left(x -2\right)^{4}}+\frac{12 \ln \left(2\right)^{3}}{x -2}+\frac{12 \ln \left(2\right)^{3}}{2+x}+\frac{144 \ln \left(2\right)^{2}}{2+x}+\frac{9 \ln \left(2\right)^{2}}{2 \left(x -2\right)^{2}}+\frac{144 \ln \left(2\right)^{2}}{x -2}+\frac{3 \ln \left(2\right)}{4 \left(x -2\right)^{3}}+\frac{573 \ln \left(2\right)}{16 \left(x -2\right)^{2}}+\frac{576 \ln \left(2\right)}{x -2}+\frac{3 \ln \left(2\right)}{4 \left(2+x \right)^{3}}-\frac{573 \ln \left(2\right)}{16 \left(2+x \right)^{2}}+\frac{576 \ln \left(2\right)}{2+x}-\frac{36483}{512 \left(2+x \right)^{2}}+\frac{36483}{512 \left(x -2\right)^{2}}-\frac{3}{64 \left(2+x \right)^{4}}-\frac{24 \ln \left(2\right)^{3} {\mathrm e}^{x}}{2+x}+\frac{24 \ln \left(2\right)^{3} {\mathrm e}^{x}}{x -2}+\frac{18 \ln \left(2\right)^{2} {\mathrm e}^{x}}{\left(2+x \right)^{2}}-\frac{297 \ln \left(2\right)^{2} {\mathrm e}^{x}}{2+x}+\frac{297 \ln \left(2\right)^{2} {\mathrm e}^{x}}{x -2}+\frac{18 \ln \left(2\right)^{2} {\mathrm e}^{x}}{\left(x -2\right)^{2}}+\frac{381}{128 \left(x -2\right)^{3}}+\frac{381}{128 \left(2+x \right)^{3}}+\frac{9 \ln \left(2\right) {\mathrm e}^{2 x}}{\left(x -2\right)^{3}}-\frac{603 \ln \left(2\right) {\mathrm e}^{2 x}}{4 \left(2+x \right)^{2}}+\frac{9 \ln \left(2\right) {\mathrm e}^{2 x}}{\left(2+x \right)^{3}}+\frac{144 \ln \left(2\right) {\mathrm e}^{2 x}}{x -2}+\frac{603 \ln \left(2\right) {\mathrm e}^{2 x}}{4 \left(x -2\right)^{2}}+\frac{144 \ln \left(2\right) {\mathrm e}^{2 x}}{2+x}+\frac{6 \ln \left(2\right) {\mathrm e}^{3 x}}{\left(x -2\right)^{3}}+\frac{15 \ln \left(2\right) {\mathrm e}^{3 x}}{2 \left(2+x \right)^{2}}-\frac{6 \ln \left(2\right) {\mathrm e}^{3 x}}{\left(2+x \right)^{3}}+\frac{9 \ln \left(2\right) {\mathrm e}^{3 x}}{4 \left(x -2\right)}+\frac{15 \ln \left(2\right) {\mathrm e}^{3 x}}{2 \left(x -2\right)^{2}}-\frac{9 \ln \left(2\right) {\mathrm e}^{3 x}}{4 \left(2+x \right)}-\frac{18 \ln \left(2\right)^{2} {\mathrm e}^{2 x}}{\left(2+x \right)^{2}}+\frac{18 \ln \left(2\right)^{2} {\mathrm e}^{2 x}}{x -2}+\frac{18 \ln \left(2\right)^{2} {\mathrm e}^{2 x}}{\left(x -2\right)^{2}}+\frac{18 \ln \left(2\right)^{2} {\mathrm e}^{2 x}}{2+x}-\frac{9 \,{\mathrm e}^{2 x}}{8 \left(2+x \right)^{4}}+\frac{585 \,{\mathrm e}^{2 x}}{16 \left(x -2\right)^{3}}-\frac{20151 \,{\mathrm e}^{2 x}}{64 \left(2+x \right)^{2}}+\frac{585 \,{\mathrm e}^{2 x}}{16 \left(2+x \right)^{3}}+\frac{288 \,{\mathrm e}^{2 x}}{x -2}+\frac{20151 \,{\mathrm e}^{2 x}}{64 \left(x -2\right)^{2}}+\frac{288 \,{\mathrm e}^{2 x}}{2+x}+\frac{9 \,{\mathrm e}^{2 x}}{8 \left(x -2\right)^{4}}-\frac{15 \,{\mathrm e}^{4 x}}{32 \left(2+x \right)^{2}}+\frac{9 \,{\mathrm e}^{4 x}}{8 \left(2+x \right)^{3}}+\frac{9 \,{\mathrm e}^{4 x}}{8 \left(x -2\right)^{3}}+\frac{15 \,{\mathrm e}^{4 x}}{32 \left(x -2\right)^{2}}-\frac{3 \,{\mathrm e}^{4 x}}{4 \left(2+x \right)^{4}}+\frac{3 \,{\mathrm e}^{4 x}}{4 \left(x -2\right)^{4}}+\frac{3 \,{\mathrm e}^{3 x}}{2 \left(2+x \right)^{4}}+\frac{51 \,{\mathrm e}^{3 x}}{2 \left(x -2\right)^{3}}+\frac{483 \,{\mathrm e}^{3 x}}{16 \left(2+x \right)^{2}}-\frac{51 \,{\mathrm e}^{3 x}}{2 \left(2+x \right)^{3}}+\frac{285 \,{\mathrm e}^{3 x}}{32 \left(x -2\right)}+\frac{483 \,{\mathrm e}^{3 x}}{16 \left(x -2\right)^{2}}-\frac{285 \,{\mathrm e}^{3 x}}{32 \left(2+x \right)}+\frac{3 \,{\mathrm e}^{3 x}}{2 \left(x -2\right)^{4}}+\frac{1161 \ln \left(2\right) {\mathrm e}^{x}}{8 \left(2+x \right)^{2}}-\frac{9 \ln \left(2\right) {\mathrm e}^{x}}{2 \left(2+x \right)^{3}}-\frac{19575 \ln \left(2\right) {\mathrm e}^{x}}{16 \left(2+x \right)}+\frac{9 \ln \left(2\right) {\mathrm e}^{x}}{2 \left(x -2\right)^{3}}+\frac{19575 \ln \left(2\right) {\mathrm e}^{x}}{16 \left(x -2\right)}+\frac{1161 \ln \left(2\right) {\mathrm e}^{x}}{8 \left(x -2\right)^{2}}$&$907$\\ \hline \end{longtable}"," ",0,"6*x*ln(2)^4+96*x*ln(2)^3+576*x*ln(2)^2+1536*x*ln(2)+1536*x+((24*ln(2)^3+288*ln(2)^2+1152*ln(2)+1536)*x^7+(-288*ln(2)^3-3420*ln(2)^2-13536*ln(2)-17856)*x^5+(1152*ln(2)^3+13536*ln(2)^2+53016*ln(2)+69216)*x^3+(-1536*ln(2)^3-17856*ln(2)^2-69216*ln(2)-89466)*x)/(x^8-16*x^6+96*x^4-256*x^2+256)+6*x^5/(x^2-4)^4*exp(4*x)+24*x^4*(x^2*ln(2)+4*x^2-4*ln(2)-15)/(x^2-4)^4*exp(3*x)+36*x^3*(x^4*ln(2)^2+8*x^4*ln(2)-8*x^2*ln(2)^2+16*x^4-62*x^2*ln(2)+16*ln(2)^2-120*x^2+120*ln(2)+225)/(x^2-4)^4*exp(2*x)+24*x^2*(x^6*ln(2)^3+12*x^6*ln(2)^2-12*x^4*ln(2)^3+48*x^6*ln(2)-141*x^4*ln(2)^2+64*x^6+48*x^2*ln(2)^3-552*x^4*ln(2)+552*x^2*ln(2)^2-720*x^4-64*ln(2)^3+2115*x^2*ln(2)-720*ln(2)^2+2700*x^2-2700*ln(2)-3375)/(x^2-4)^4*exp(x)","B"
1351,1,27,21,0.022000," ","int(((-18*x+156)*exp(2)^2+(24*x-104)*exp(2)-8*x)/exp(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\left(-2+3 \,{\mathrm e}^{2}\right) x \left(3 \,{\mathrm e}^{2} x -52 \,{\mathrm e}^{2}-2 x \right) {\mathrm e}^{-4}$&$27$\\ risch&$-9 x^{2}+156 x +12 x^{2} {\mathrm e}^{-2}-104 x \,{\mathrm e}^{-2}-4 \,{\mathrm e}^{-4} x^{2}$&$29$\\ norman&$\left(\left(156 \,{\mathrm e}^{2}-104\right) x -\left(9 \,{\mathrm e}^{4}-12 \,{\mathrm e}^{2}+4\right) {\mathrm e}^{-2} x^{2}\right) {\mathrm e}^{-2}$&$36$\\ default&${\mathrm e}^{-4} \left({\mathrm e}^{4} \left(-9 x^{2}+156 x \right)+{\mathrm e}^{2} \left(12 x^{2}-104 x \right)-4 x^{2}\right)$&$38$\\ \hline \end{longtable}"," ",0,"-(-2+3*exp(2))*x*(3*exp(2)*x-52*exp(2)-2*x)/exp(2)^2","A"
1352,1,13,16,0.062000," ","int(-2*ln(2)*ln(exp(x)*x^2)+2*(-x-2)*ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left({\mathrm e}^{x} x^{2}\right) \ln \left(2\right) x$&$13$\\ norman&$-2 \ln \left({\mathrm e}^{x} x^{2}\right) \ln \left(2\right) x$&$13$\\ risch&$-2 \ln \left(2\right) x \ln \left({\mathrm e}^{x}\right)-4 x \ln \left(2\right) \ln \left(x \right)+i \ln \left(2\right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) x -2 i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} x +i \ln \left(2\right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} x +i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{x}\right) x -i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{x}\right)^{2} x -i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{x}\right)^{2} x +i \ln \left(2\right) \pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{x}\right)^{3} x$&$171$\\ \hline \end{longtable}"," ",0,"-2*ln(exp(x)*x^2)*ln(2)*x","A"
1353,1,33,26,0.073000," ","int(1/2*((2*x+3)*ln(2)*exp(3/2/x)*ln(2*ln(2))^2+2*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{\ln \left(2\right) \left(\ln \left(2\right)^{2}+2 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)+\ln \left(\ln \left(2\right)\right)^{2}\right) {\mathrm e}^{\frac{3}{2 x}}}{x}$&$33$\\ norman&$\frac{x^{3}+\left(-\ln \left(2\right)^{3}-2 \ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)-\ln \left(2\right) \ln \left(\ln \left(2\right)\right)^{2}\right) x \,{\mathrm e}^{\frac{3}{2 x}}}{x^{2}}$&$42$\\ derivativedivides&$x -\frac{\ln \left(2\right)^{3} {\mathrm e}^{\frac{3}{2 x}}}{x}-\frac{\ln \left(2\right) {\mathrm e}^{\frac{3}{2 x}} \ln \left(\ln \left(2\right)\right)^{2}}{x}-\frac{2 \ln \left(2\right)^{2} {\mathrm e}^{\frac{3}{2 x}} \ln \left(\ln \left(2\right)\right)}{x}$&$54$\\ default&$x -\frac{\ln \left(2\right)^{3} {\mathrm e}^{\frac{3}{2 x}}}{x}-\frac{\ln \left(2\right) {\mathrm e}^{\frac{3}{2 x}} \ln \left(\ln \left(2\right)\right)^{2}}{x}-\frac{2 \ln \left(2\right)^{2} {\mathrm e}^{\frac{3}{2 x}} \ln \left(\ln \left(2\right)\right)}{x}$&$54$\\ \hline \end{longtable}"," ",0,"x-ln(2)*(ln(2)^2+2*ln(2)*ln(ln(2))+ln(ln(2))^2)/x*exp(3/2/x)","A"
1354,1,68,27,0.169000," ","int(((8*x^2*ln(2)+16*x^3)*exp(1/2*x/ln(2))^4+(-64*x^3*ln(2)-48*x^4)*exp(1/2*x/ln(2))^3+(144*x^4*ln(2)+48*x^5)*exp(1/2*x/ln(2))^2+(-128*x^5*ln(2)-16*x^6)*exp(1/2*x/ln(2))+2*(exp(5)+20*x^6+x^2)*ln(2))/(8*x^3*ln(2)*exp(1/2*x/ln(2))^4-32*x^4*ln(2)*exp(1/2*x/ln(2))^3+48*x^5*ln(2)*exp(1/2*x/ln(2))^2-32*x^6*ln(2)*exp(1/2*x/ln(2))+2*(-x*exp(5)+4*x^7+x^3)*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left({\mathrm e}^{\frac{2 x}{\ln \left(2\right)}}-4 x \,{\mathrm e}^{\frac{3 x}{2 \ln \left(2\right)}}+6 x^{2} {\mathrm e}^{\frac{x}{\ln \left(2\right)}}-4 x^{3} {\mathrm e}^{\frac{x}{2 \ln \left(2\right)}}-\frac{-4 x^{6}-x^{2}+{\mathrm e}^{5}}{4 x^{2}}\right)$&$68$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(exp(2*x/ln(2))-4*x*exp(3/2*x/ln(2))+6*x^2*exp(x/ln(2))-4*x^3*exp(1/2*x/ln(2))-1/4*(-4*x^6-x^2+exp(5))/x^2)","B"
1355,1,138,23,0.171000," ","int(((64*x^14-15360*x^12+1474560*x^10-70778880*x^8+1698693120*x^6-16307453952*x^4)*ln(x)^9+2*(512*x^11-147456*x^9+14155776*x^7-566231040*x^5+8153726976*x^3)*ln(2)*ln(x)^7+2*(-1024*x^11+196608*x^9-14155776*x^7+452984832*x^5-5435817984*x^3)*ln(2)*ln(x)^6+4*(-12288*x^8+589824*x^6+28311552*x^4-1358954496*x^2)*ln(2)^2*ln(x)^5+4*(-24576*x^8+3538944*x^6-169869312*x^4+2717908992*x^2)*ln(2)^2*ln(x)^4+8*(-163840*x^5+6291456*x^3+75497472*x)*ln(2)^3*ln(x)^3+8*(-196608*x^5+18874368*x^3-452984832*x)*ln(2)^3*ln(x)^2-8388608*x^2*ln(2)^4*ln(x)+16*(-524288*x^2+25165824)*ln(2)^4)/(x^11-240*x^9+23040*x^7-1105920*x^5+26542080*x^3-254803968*x)/ln(x)^9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{4}+\frac{1024 \left(x^{9} \ln \left(x \right)^{6}-144 x^{7} \ln \left(x \right)^{6}+24 \ln \left(2\right) x^{6} \ln \left(x \right)^{4}+6912 x^{5} \ln \left(x \right)^{6}-2304 \ln \left(2\right) x^{4} \ln \left(x \right)^{4}-110592 x^{3} \ln \left(x \right)^{6}+256 \ln \left(2\right)^{2} x^{3} \ln \left(x \right)^{2}+55296 \ln \left(2\right) x^{2} \ln \left(x \right)^{4}-12288 x \ln \left(2\right)^{2} \ln \left(x \right)^{2}+1024 \ln \left(2\right)^{3}\right) \ln \left(2\right)}{\left(x^{2}-48\right) \left(x^{6}-144 x^{4}+6912 x^{2}-110592\right) \ln \left(x \right)^{8}}$&$138$\\ \hline \end{longtable}"," ",0,"16*x^4+1024*(x^9*ln(x)^6-144*x^7*ln(x)^6+24*ln(2)*x^6*ln(x)^4+6912*x^5*ln(x)^6-2304*ln(2)*x^4*ln(x)^4-110592*x^3*ln(x)^6+256*ln(2)^2*x^3*ln(x)^2+55296*ln(2)*x^2*ln(x)^4-12288*x*ln(2)^2*ln(x)^2+1024*ln(2)^3)*ln(2)/(x^2-48)/(x^6-144*x^4+6912*x^2-110592)/ln(x)^8","B"
1356,1,14,17,0.059000," ","int((-12*x^3-15)/(ln(5)^2+(2*x^4+10*x)*ln(5)+x^8+10*x^5+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{3}{x^{4}+\ln \left(5\right)+5 x}$&$14$\\ default&$\frac{3}{x^{4}+\ln \left(5\right)+5 x}$&$14$\\ norman&$\frac{3}{x^{4}+\ln \left(5\right)+5 x}$&$14$\\ risch&$\frac{3}{x^{4}+\ln \left(5\right)+5 x}$&$14$\\ \hline \end{longtable}"," ",0,"3/(x^4+ln(5)+5*x)","A"
1357,1,33,32,0.045000," ","int(((4*x^5+28*x^4+53*x^3-4*x^2-51*x+18)*exp((-6*x-15)/(2*x^2+5*x-3))*ln(x)+(4*x^4+20*x^3+13*x^2-30*x+9)*exp((-6*x-15)/(2*x^2+5*x-3))+8*x^5+56*x^4+82*x^3-128*x^2-288*x+36)/((4*x^5+20*x^4+13*x^3-30*x^2+9*x)*exp((-6*x-15)/(2*x^2+5*x-3))*ln(x)+8*x^5+40*x^4+26*x^3-60*x^2+18*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right)+x +\ln \left(\ln \left(x \right)+2 \,{\mathrm e}^{\frac{6 x +15}{\left(3+x \right) \left(2 x -1\right)}}\right)$&$33$\\ \hline \end{longtable}"," ",0,"2*ln(x)+x+ln(ln(x)+2*exp(3*(5+2*x)/(3+x)/(2*x-1)))","A"
1358,1,22,21,0.093000," ","int((24*exp(-x+20)^2+(2*x^2-8*x)*exp(-x+20)+x^2)/(32*exp(-x+20)^2-16*x*exp(-x+20)+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x}{4}-\frac{x^{2}}{4 \left(x -4 \,{\mathrm e}^{-x +20}\right)}$&$22$\\ norman&$\frac{\frac{x^{2}}{2}-3 x \,{\mathrm e}^{-x +20}}{x -4 \,{\mathrm e}^{-x +20}}$&$29$\\ \hline \end{longtable}"," ",0,"3/4*x-1/4*x^2/(x-4*exp(-x+20))","A"
1359,1,236,17,0.153000," ","int(((ln(x)+x^2*ln(7)+4*x^2)*ln(1/4*(ln(x)+x^2*ln(7)+4*x^2)/x^2)-2*ln(x)+1)*exp(x*ln(1/4*(ln(x)+x^2*ln(7)+4*x^2)/x^2))/(ln(x)+x^2*ln(7)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x \left(-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+x^{2} \ln \left(7\right)+4 x^{2}\right)}{x^{2}}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+x^{2} \ln \left(7\right)+4 x^{2}\right)}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+x^{2} \ln \left(7\right)+4 x^{2}\right)}{x^{2}}\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)+x^{2} \ln \left(7\right)+4 x^{2}\right)\right)+i \pi  \,\mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+x^{2} \ln \left(7\right)+4 x^{2}\right)}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+x^{2} \ln \left(7\right)+4 x^{2}\right)\right)+4 \ln \left(x \right)+4 \ln \left(2\right)-2 \ln \left(\ln \left(x \right)+x^{2} \ln \left(7\right)+4 x^{2}\right)\right)}{2}}$&$236$\\ \hline \end{longtable}"," ",0,"exp(-1/2*x*(-I*Pi*csgn(I*x^2)^3+2*I*Pi*csgn(I*x^2)^2*csgn(I*x)-I*Pi*csgn(I*x^2)*csgn(I*x)^2+I*Pi*csgn(I*(ln(x)+x^2*ln(7)+4*x^2)/x^2)^3-I*Pi*csgn(I*(ln(x)+x^2*ln(7)+4*x^2)/x^2)^2*csgn(I/x^2)-I*Pi*csgn(I*(ln(x)+x^2*ln(7)+4*x^2)/x^2)^2*csgn(I*(ln(x)+x^2*ln(7)+4*x^2))+I*Pi*csgn(I*(ln(x)+x^2*ln(7)+4*x^2)/x^2)*csgn(I/x^2)*csgn(I*(ln(x)+x^2*ln(7)+4*x^2))+4*ln(x)+4*ln(2)-2*ln(ln(x)+x^2*ln(7)+4*x^2)))","C"
1360,1,58,25,0.773000," ","int(((15*exp(2)^3+(45*x+135)*exp(2)^2+(45*x^2+270*x+395)*exp(2)+15*x^3+135*x^2+375*x+375)*exp((-15*exp(2)^2+(-30*x-90)*exp(2)-15*x^2-90*x-125)/(x*exp(2)^2+(2*x^2+6*x)*exp(2)+x^3+6*x^2+9*x))+(-2*x^3+x^2)*exp(2)^3+(-6*x^4-15*x^3+9*x^2)*exp(2)^2+(-6*x^5-33*x^4-36*x^3+27*x^2)*exp(2)-2*x^6-17*x^5-45*x^4-27*x^3+27*x^2)/(x^2*exp(2)^3+(3*x^3+9*x^2)*exp(2)^2+(3*x^4+18*x^3+27*x^2)*exp(2)+x^5+9*x^4+27*x^3+27*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+x +{\mathrm e}^{-\frac{5 \left(6 \,{\mathrm e}^{2} x +3 x^{2}+18 \,{\mathrm e}^{2}+3 \,{\mathrm e}^{4}+18 x +25\right)}{x \left(2 \,{\mathrm e}^{2} x +x^{2}+6 \,{\mathrm e}^{2}+{\mathrm e}^{4}+6 x +9\right)}}$&$58$\\ norman&$\frac{x^{3} {\mathrm e}^{\frac{-15 \,{\mathrm e}^{4}+\left(-30 x -90\right) {\mathrm e}^{2}-15 x^{2}-90 x -125}{x \,{\mathrm e}^{4}+\left(2 x^{2}+6 x \right) {\mathrm e}^{2}+x^{3}+6 x^{2}+9 x}}+\left(-5-2 \,{\mathrm e}^{2}\right) x^{4}+\left(2 \,{\mathrm e}^{6}+15 \,{\mathrm e}^{4}+36 \,{\mathrm e}^{2}+27\right) x^{2}+\left({\mathrm e}^{8}+10 \,{\mathrm e}^{6}+36 \,{\mathrm e}^{4}+54 \,{\mathrm e}^{2}+27\right) x +\left(2 \,{\mathrm e}^{2}+6\right) x^{2} {\mathrm e}^{\frac{-15 \,{\mathrm e}^{4}+\left(-30 x -90\right) {\mathrm e}^{2}-15 x^{2}-90 x -125}{x \,{\mathrm e}^{4}+\left(2 x^{2}+6 x \right) {\mathrm e}^{2}+x^{3}+6 x^{2}+9 x}}+\left(6 \,{\mathrm e}^{2}+{\mathrm e}^{4}+9\right) x \,{\mathrm e}^{\frac{-15 \,{\mathrm e}^{4}+\left(-30 x -90\right) {\mathrm e}^{2}-15 x^{2}-90 x -125}{x \,{\mathrm e}^{4}+\left(2 x^{2}+6 x \right) {\mathrm e}^{2}+x^{3}+6 x^{2}+9 x}}-x^{5}}{x \left(3+{\mathrm e}^{2}+x \right)^{2}}$&$274$\\ \hline \end{longtable}"," ",0,"-x^2+x+exp(-5*(6*exp(2)*x+3*x^2+18*exp(2)+3*exp(4)+18*x+25)/x/(2*exp(2)*x+x^2+6*exp(2)+exp(4)+6*x+9))","B"
1361,1,32,30,0.145000," ","int(((2*x^3+16*x^2-10*x-8)*ln((x^2+9*x+4)/(5*x*exp(5)+15*x))+x^4+7*x^3+6*x^2+8*x-8)/(x^5+8*x^4-5*x^3-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{2 \ln \left(\frac{x^{2}+9 x +4}{5 x \,{\mathrm e}^{5}+15 x}\right)}{x}+\ln \left(x -1\right)$&$32$\\ risch&$-\frac{2 \ln \left(\frac{x^{2}+9 x +4}{5 x \,{\mathrm e}^{5}+15 x}\right)}{x}+\ln \left(x -1\right)$&$32$\\ default&$\ln \left(x -1\right)-\frac{2 \ln \left(\frac{x^{2}+9 x +4}{x}\right)}{x}+\frac{2 \ln \left(3+{\mathrm e}^{5}\right)}{x}+\frac{2 \ln \left(5\right)}{x}$&$41$\\ \hline \end{longtable}"," ",0,"-2*ln((x^2+9*x+4)/(5*x*exp(5)+15*x))/x+ln(x-1)","A"
1362,1,29,20,0.069000," ","int(((4*ln(5*x)^2+8*x*ln(5*x)-2*ln(5)+4*x^2-4*x-4)*ln(ln(5*x)^2+2*x*ln(5*x)-1/2*ln(5)+x^2-x-1)+(8*x+8)*ln(5*x)+8*x^2+4*x)/(4*ln(5*x)^2+8*x*ln(5*x)-2*ln(5)+4*x^2-4*x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(5 x \right)^{2}+2 x \ln \left(5 x \right)-\frac{\ln \left(5\right)}{2}+x^{2}-x -1\right) x$&$29$\\ \hline \end{longtable}"," ",0,"ln(ln(5*x)^2+2*x*ln(5*x)-1/2*ln(5)+x^2-x-1)*x","A"
1363,1,37,25,0.076000," ","int(-64*exp(x)^2*exp(-8*exp(x)^2+2*exp(2)-2)^4+(64*exp(x)^2*x^2-4*x)*exp(-8*exp(x)^2+2*exp(2)-2)^2+4*x^3+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -2 x^{2} {\mathrm e}^{-16 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{2}-4}+x^{4}+{\mathrm e}^{-32 \,{\mathrm e}^{2 x}+8 \,{\mathrm e}^{2}-8}$&$37$\\ default&$x -2 x^{2} {\mathrm e}^{-16 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{2}-4}+x^{4}+{\mathrm e}^{-32 \,{\mathrm e}^{2 x}+8 \,{\mathrm e}^{2}-8}$&$41$\\ \hline \end{longtable}"," ",0,"x-2*x^2*exp(-16*exp(2*x)+4*exp(2)-4)+x^4+exp(-32*exp(2*x)+8*exp(2)-8)","A"
1364,1,18,21,0.062000," ","int(1/3*((-16*exp(x)*x^2-32*x)*exp(exp(x))+192*x-12)*exp(-4/3*exp(exp(x))*x^2+ln(5/4)+8*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \,{\mathrm e}^{-\frac{x \left(4 x \,{\mathrm e}^{{\mathrm e}^{x}}-24 x +3\right)}{3}}$&$18$\\ norman&$4 \,{\mathrm e}^{-\frac{4 \,{\mathrm e}^{{\mathrm e}^{x}} x^{2}}{3}+\ln \left(\frac{5}{4}\right)+8 x^{2}-x}$&$23$\\ \hline \end{longtable}"," ",0,"5*exp(-1/3*x*(4*x*exp(exp(x))-24*x+3))","A"
1365,1,17,19,0.227000," ","int(((9*x-4)*ln(x)+6*x-4)/(3*x^2-2*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(3 x -2\right)+2 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)$&$17$\\ norman&$\ln \left(3 x -2\right)+2 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)$&$17$\\ risch&$\ln \left(3 x -2\right)+2 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)$&$17$\\ \hline \end{longtable}"," ",0,"ln(3*x-2)+2*ln(x)+2*ln(ln(x))","A"
1366,1,27,23,0.134000," ","int(((4*x^2-32*x+64)*exp(4)+8*x^2)/((x^4-32*x^2+256)*exp(4)^2+(4*x^4-64*x^2)*exp(4)+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}-4 x}{x^{2} {\mathrm e}^{4}+2 x^{2}-16 \,{\mathrm e}^{4}}$&$27$\\ risch&$\frac{-4 x +\frac{16 \,{\mathrm e}^{4}}{2+{\mathrm e}^{4}}}{x^{2} {\mathrm e}^{4}+2 x^{2}-16 \,{\mathrm e}^{4}}$&$34$\\ gosper&$-\frac{4 \left(x \,{\mathrm e}^{4}-4 \,{\mathrm e}^{4}+2 x \right)}{\left(x^{2} {\mathrm e}^{4}+2 x^{2}-16 \,{\mathrm e}^{4}\right) \left(2+{\mathrm e}^{4}\right)}$&$39$\\ default&$\frac{4 \left({\mathrm e}^{8}+4 \,{\mathrm e}^{4}+4\right) \left(-\frac{\left({\mathrm e}^{8} {\mathrm e}^{4}+4 \,{\mathrm e}^{8}+4 \,{\mathrm e}^{4}\right) x}{\left({\mathrm e}^{8}+4 \,{\mathrm e}^{4}+4\right) \left({\mathrm e}^{8}+2 \,{\mathrm e}^{4}\right)}+\frac{4 \,{\mathrm e}^{4}}{{\mathrm e}^{8}+4 \,{\mathrm e}^{4}+4}\right)}{x^{2} {\mathrm e}^{8}+4 x^{2} {\mathrm e}^{4}+4 x^{2}-16 \,{\mathrm e}^{8}-32 \,{\mathrm e}^{4}}$&$175$\\ \hline \end{longtable}"," ",0,"(x^2-4*x)/(x^2*exp(4)+2*x^2-16*exp(4))","A"
1367,1,140,21,0.159000," ","int((((16*x^3-64*x^2+8*x)*exp(x^2)+16*x^2-32*x)*ln(1/x^3)+(24*x-96)*exp(x^2)+24*x^2-96*x)/((x^3-8*x^2+16*x)*exp(x^2)^2+(2*x^4-16*x^3+32*x^2)*exp(x^2)+x^5-8*x^4+16*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{24 \ln \left(x \right)}{\left(x -4\right) \left({\mathrm e}^{x^{2}}+x \right)}-\frac{4 i \pi  \left(\mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\mathrm{csgn}\left(i x^{2}\right)^{3}-\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\mathrm{csgn}\left(i x^{3}\right)^{3}\right)}{\left(x -4\right) \left({\mathrm e}^{x^{2}}+x \right)}$&$140$\\ \hline \end{longtable}"," ",0,"24/(x-4)/(exp(x^2)+x)*ln(x)-4*I*Pi*(csgn(I*x)^2*csgn(I*x^2)-2*csgn(I*x)*csgn(I*x^2)^2+csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-csgn(I*x)*csgn(I*x^3)^2+csgn(I*x^2)^3-csgn(I*x^2)*csgn(I*x^3)^2+csgn(I*x^3)^3)/(x-4)/(exp(x^2)+x)","C"
1368,1,38,25,0.401000," ","int((-exp(ln(50/x^2)+x+exp(2))-5*x+10)*exp((ln(2*ln(2)/x)*exp(ln(50/x^2)+x+exp(2))+5)/exp(ln(50/x^2)+x+exp(2)))/x/exp(ln(50/x^2)+x+exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{\frac{\left(\ln \left(\frac{2 \ln \left(2\right)}{x}\right) {\mathrm e}^{\ln \left(\frac{50}{x^{2}}\right)+x +{\mathrm e}^{2}}+5\right) x^{2} {\mathrm e}^{-x -{\mathrm e}^{2}}}{50}}$&$38$\\ risch&$\frac{2 \ln \left(2\right) {\mathrm e}^{-\frac{x^{2} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}}{2}-x -{\mathrm e}^{2}}}{10}}}{x}$&$54$\\ \hline \end{longtable}"," ",0,"exp((ln(2*ln(2)/x)*exp(ln(50/x^2)+x+exp(2))+5)/exp(ln(50/x^2)+x+exp(2)))","A"
1369,1,77,28,0.027000," ","int((-1831200*exp((25+3*x)/(5+x))*ln(exp((25+3*x)/(5+x))+2)^3+1318000*exp((25+3*x)/(5+x))*ln(exp((25+3*x)/(5+x))+2)^2-315000*exp((25+3*x)/(5+x))*ln(exp((25+3*x)/(5+x))+2)+25000*exp((25+3*x)/(5+x)))/((x^2+10*x+25)*exp((25+3*x)/(5+x))+2*x^2+20*x+50)/ln(exp((25+3*x)/(5+x))+2)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \left(36624 \ln \left({\mathrm e}^{\frac{25+3 x}{5+x}}+2\right)^{3}-13180 \ln \left({\mathrm e}^{\frac{25+3 x}{5+x}}+2\right)^{2}+2100 \ln \left({\mathrm e}^{\frac{25+3 x}{5+x}}+2\right)-125\right)}{\ln \left({\mathrm e}^{\frac{25+3 x}{5+x}}+2\right)^{4}}$&$77$\\ \hline \end{longtable}"," ",0,"-5*(36624*ln(exp((25+3*x)/(5+x))+2)^3-13180*ln(exp((25+3*x)/(5+x))+2)^2+2100*ln(exp((25+3*x)/(5+x))+2)-125)/ln(exp((25+3*x)/(5+x))+2)^4","B"
1370,1,134,32,0.693000," ","int((((2*x^3+8*x^2+8*x)*ln(5)^2+(-4*x^4-16*x^3-16*x^2)*ln(5)-2*x*exp(5)+2*x^5+8*x^4+8*x^3)*ln(-5*x/((x^2+4*x+4)*ln(5)^2+(-2*x^3-8*x^2-8*x)*ln(5)-exp(5)+x^4+4*x^3+4*x^2))^2+((6*x^4+22*x^3+38*x^2+64*x+56)*ln(5)^2+(-12*x^5-40*x^4-60*x^3-112*x^2-112*x)*ln(5)+(-6*x^2-2*x-14)*exp(5)+6*x^6+18*x^5+22*x^4+48*x^3+56*x^2)*ln(-5*x/((x^2+4*x+4)*ln(5)^2+(-2*x^3-8*x^2-8*x)*ln(5)-exp(5)+x^4+4*x^3+4*x^2))+(4*x^5+14*x^4+44*x^3+106*x^2+112*x+56)*ln(5)^2+(-8*x^6-24*x^5-72*x^4-168*x^3-112*x^2)*ln(5)+(-4*x^3-2*x^2-28*x-14)*exp(5)+4*x^7+10*x^6+28*x^5+62*x^4-56*x^2)/((x^2+4*x+4)*ln(5)^2+(-2*x^3-8*x^2-8*x)*ln(5)-exp(5)+x^4+4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(-\frac{5 x}{\left(x^{2}+4 x +4\right) \ln \left(5\right)^{2}+\left(-2 x^{3}-8 x^{2}-8 x \right) \ln \left(5\right)-{\mathrm e}^{5}+x^{4}+4 x^{3}+4 x^{2}}\right)^{2}+\left(2 x^{3}+14 x \right) \ln \left(-\frac{5 x}{\left(x^{2}+4 x +4\right) \ln \left(5\right)^{2}+\left(-2 x^{3}-8 x^{2}-8 x \right) \ln \left(5\right)-{\mathrm e}^{5}+x^{4}+4 x^{3}+4 x^{2}}\right)+x^{4}+14 x^{2}$&$134$\\ norman&$x^{4}+x^{2} \ln \left(-\frac{5 x}{\left(x^{2}+4 x +4\right) \ln \left(5\right)^{2}+\left(-2 x^{3}-8 x^{2}-8 x \right) \ln \left(5\right)-{\mathrm e}^{5}+x^{4}+4 x^{3}+4 x^{2}}\right)^{2}+14 x^{2}+14 x \ln \left(-\frac{5 x}{\left(x^{2}+4 x +4\right) \ln \left(5\right)^{2}+\left(-2 x^{3}-8 x^{2}-8 x \right) \ln \left(5\right)-{\mathrm e}^{5}+x^{4}+4 x^{3}+4 x^{2}}\right)+2 x^{3} \ln \left(-\frac{5 x}{\left(x^{2}+4 x +4\right) \ln \left(5\right)^{2}+\left(-2 x^{3}-8 x^{2}-8 x \right) \ln \left(5\right)-{\mathrm e}^{5}+x^{4}+4 x^{3}+4 x^{2}}\right)$&$186$\\ \hline \end{longtable}"," ",0,"x^2*ln(-5*x/((x^2+4*x+4)*ln(5)^2+(-2*x^3-8*x^2-8*x)*ln(5)-exp(5)+x^4+4*x^3+4*x^2))^2+(2*x^3+14*x)*ln(-5*x/((x^2+4*x+4)*ln(5)^2+(-2*x^3-8*x^2-8*x)*ln(5)-exp(5)+x^4+4*x^3+4*x^2))+x^4+14*x^2","B"
1371,1,13,16,0.038000," ","int(1/125*(-2*x^3+17*x^2-10*x+8)*exp(x^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \left(-8+x \right) {\mathrm e}^{x \left(x -1\right)}}{125}$&$13$\\ gosper&$-\frac{{\mathrm e}^{x^{2}} x \left(-8+x \right) {\mathrm e}^{-x}}{125}$&$15$\\ norman&$\left(-\frac{x^{2} {\mathrm e}^{x^{2}}}{125}+\frac{8 \,{\mathrm e}^{x^{2}} x}{125}\right) {\mathrm e}^{-x}$&$23$\\ default&$\frac{8 x \,{\mathrm e}^{x^{2}-x}}{125}-\frac{x^{2} {\mathrm e}^{x^{2}-x}}{125}$&$26$\\ \hline \end{longtable}"," ",0,"-1/125*x*(-8+x)*exp(x*(x-1))","A"
1372,1,39,22,0.042000," ","int(((-2*ln(5)-4*x^5+9*x^4+4*x^3-8*x^2)*ln(x)+(2-x)*ln(5)-x^5+3*x^4+2*x^3-8*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-x^{5}+3 x^{4}+2 x^{3}-8 x^{2}+2 \ln \left(5\right)\right) \ln \left(x \right)}{x}-\ln \left(5\right) \ln \left(x \right)$&$39$\\ norman&$\frac{-x \ln \left(5\right) \ln \left(x \right)-8 x^{2} \ln \left(x \right)+2 x^{3} \ln \left(x \right)+3 x^{4} \ln \left(x \right)-x^{5} \ln \left(x \right)+2 \ln \left(5\right) \ln \left(x \right)}{x}$&$47$\\ default&$-x^{4} \ln \left(x \right)+3 x^{3} \ln \left(x \right)+2 x^{2} \ln \left(x \right)-8 x \ln \left(x \right)-2 \ln \left(5\right) \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)-\ln \left(5\right) \ln \left(x \right)-\frac{2 \ln \left(5\right)}{x}$&$58$\\ \hline \end{longtable}"," ",0,"(-x^5+3*x^4+2*x^3-8*x^2+2*ln(5))/x*ln(x)-ln(5)*ln(x)","A"
1373,1,210,28,0.259000," ","int(((-exp(x)^2*x^2+12*exp(x)*x-11)*ln((4*exp(x)*x^2-44*x)/(exp(x)*x-1))*ln(ln((4*exp(x)*x^2-44*x)/(exp(x)*x-1)))+exp(x)^2*x^2+(10*x^2-2*x)*exp(x)+11)/((5*exp(x)^2*x^2-60*exp(x)*x+55)*ln((4*exp(x)*x^2-44*x)/(exp(x)*x-1))*ln(ln((4*exp(x)*x^2-44*x)/(exp(x)*x-1)))^2+(-10*exp(x)^2*x^3+120*exp(x)*x^2-110*x)*ln((4*exp(x)*x^2-44*x)/(exp(x)*x-1))*ln(ln((4*exp(x)*x^2-44*x)/(exp(x)*x-1)))+(5*exp(x)^2*x^4-60*exp(x)*x^3+55*x^2)*ln((4*exp(x)*x^2-44*x)/(exp(x)*x-1))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{5 x -5 \ln \left(2 \ln \left(2\right)+\ln \left(x \right)+\ln \left({\mathrm e}^{x} x -11\right)-\ln \left({\mathrm e}^{x} x -1\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x -11\right)}{{\mathrm e}^{x} x -1}\right) \left(-\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x -11\right)}{{\mathrm e}^{x} x -1}\right)+\mathrm{csgn}\left(i \left({\mathrm e}^{x} x -11\right)\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x -11\right)}{{\mathrm e}^{x} x -1}\right)+\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x} x -1}\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{x} x -11\right)}{{\mathrm e}^{x} x -1}\right) \left(-\mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{x} x -11\right)}{{\mathrm e}^{x} x -1}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{x} x -11\right)}{{\mathrm e}^{x} x -1}\right)+\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x -11\right)}{{\mathrm e}^{x} x -1}\right)\right)}{2}\right)}$&$210$\\ \hline \end{longtable}"," ",0,"1/5*x/(x-ln(2*ln(2)+ln(x)+ln(exp(x)*x-11)-ln(exp(x)*x-1)-1/2*I*Pi*csgn(I*(exp(x)*x-11)/(exp(x)*x-1))*(-csgn(I*(exp(x)*x-11)/(exp(x)*x-1))+csgn(I*(exp(x)*x-11)))*(-csgn(I*(exp(x)*x-11)/(exp(x)*x-1))+csgn(I/(exp(x)*x-1)))-1/2*I*Pi*csgn(I*x/(exp(x)*x-1)*(exp(x)*x-11))*(-csgn(I*x/(exp(x)*x-1)*(exp(x)*x-11))+csgn(I*x))*(-csgn(I*x/(exp(x)*x-1)*(exp(x)*x-11))+csgn(I*(exp(x)*x-11)/(exp(x)*x-1)))))","C"
1374,1,200,25,0.190000," ","int((((x^2*exp(5)*exp(x)+x^2)*ln(x)-x^2*exp(5)*exp(x))*ln(((exp(5)*exp(x)+1)*ln(x)-exp(5)*exp(x))/exp(5)/exp(x))+(-4*exp(5)*exp(x)-x^3-4)*ln(x)+(x^2+4)*exp(5)*exp(x)+x^2)/((x^2*exp(5)*exp(x)+x^2)*ln(x)-x^2*exp(5)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left({\mathrm e}^{x}\right)+\frac{-i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\left(\ln \left(x \right)-1\right) {\mathrm e}^{5+x}+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\left(\ln \left(x \right)-1\right) {\mathrm e}^{5+x}+\ln \left(x \right)\right)\right)+i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\left(\ln \left(x \right)-1\right) {\mathrm e}^{5+x}+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\left(\ln \left(x \right)-1\right) {\mathrm e}^{5+x}+\ln \left(x \right)\right)\right)^{2}+8+i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\left(\ln \left(x \right)-1\right) {\mathrm e}^{5+x}+\ln \left(x \right)\right)\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\left(\ln \left(x \right)-1\right) {\mathrm e}^{5+x}+\ln \left(x \right)\right)\right)^{3}+2 x^{2} \ln \left(\left(\ln \left(x \right)-1\right) {\mathrm e}^{5+x}+\ln \left(x \right)\right)-10 x^{2}}{2 x}$&$200$\\ \hline \end{longtable}"," ",0,"-x*ln(exp(x))+1/2*(-I*Pi*x^2*csgn(I*((ln(x)-1)*exp(5+x)+ln(x)))*csgn(I*exp(-x))*csgn(I*exp(-x)*((ln(x)-1)*exp(5+x)+ln(x)))+I*Pi*x^2*csgn(I*((ln(x)-1)*exp(5+x)+ln(x)))*csgn(I*exp(-x)*((ln(x)-1)*exp(5+x)+ln(x)))^2+8+I*Pi*x^2*csgn(I*exp(-x))*csgn(I*exp(-x)*((ln(x)-1)*exp(5+x)+ln(x)))^2-I*Pi*x^2*csgn(I*exp(-x)*((ln(x)-1)*exp(5+x)+ln(x)))^3+2*x^2*ln((ln(x)-1)*exp(5+x)+ln(x))-10*x^2)/x","C"
1375,1,103,29,35.207000," ","int(((4*x^12+36*x^10-100*x^9+900*x^7-7500*x^6-45000*x^4+312500*x^3-3125000)*exp(4)^2+(4*x^9-36*x^7+400*x^6-12500*x^3)*exp(4)-8*x^6)*exp(((x^12+18*x^10-100*x^9+81*x^8-900*x^7+3750*x^6+11250*x^4-62500*x^3+390625)*exp(4)^2+(4*x^9+36*x^7-200*x^6+2500*x^3)*exp(4)+4*x^6)/x^8/exp(4)^2)*exp(exp(((x^12+18*x^10-100*x^9+81*x^8-900*x^7+3750*x^6+11250*x^4-62500*x^3+390625)*exp(4)^2+(4*x^9+36*x^7-200*x^6+2500*x^3)*exp(4)+4*x^6)/x^8/exp(4)^2))*exp(exp(exp(((x^12+18*x^10-100*x^9+81*x^8-900*x^7+3750*x^6+11250*x^4-62500*x^3+390625)*exp(4)^2+(4*x^9+36*x^7-200*x^6+2500*x^3)*exp(4)+4*x^6)/x^8/exp(4)^2)))/x^9/exp(4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{\frac{\left({\mathrm e}^{8} x^{12}+18 \,{\mathrm e}^{8} x^{10}+4 x^{9} {\mathrm e}^{4}-100 \,{\mathrm e}^{8} x^{9}+81 \,{\mathrm e}^{8} x^{8}+36 x^{7} {\mathrm e}^{4}-900 \,{\mathrm e}^{8} x^{7}-200 x^{6} {\mathrm e}^{4}+3750 \,{\mathrm e}^{8} x^{6}+4 x^{6}+11250 x^{4} {\mathrm e}^{8}+2500 x^{3} {\mathrm e}^{4}-62500 \,{\mathrm e}^{8} x^{3}+390625 \,{\mathrm e}^{8}\right) {\mathrm e}^{-8}}{x^{8}}}}}$&$103$\\ \hline \end{longtable}"," ",0,"exp(exp(exp((exp(8)*x^12+18*exp(8)*x^10+4*x^9*exp(4)-100*exp(8)*x^9+81*exp(8)*x^8+36*x^7*exp(4)-900*exp(8)*x^7-200*x^6*exp(4)+3750*exp(8)*x^6+4*x^6+11250*x^4*exp(8)+2500*x^3*exp(4)-62500*exp(8)*x^3+390625*exp(8))*exp(-8)/x^8)))","B"
1376,1,12,11,0.031000," ","int(6*x^5/ln(exp(24)-20)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{6}}{\ln \left({\mathrm e}^{24}-20\right)^{2}}$&$12$\\ default&$\frac{x^{6}}{\ln \left({\mathrm e}^{24}-20\right)^{2}}$&$12$\\ norman&$\frac{x^{6}}{\ln \left({\mathrm e}^{24}-20\right)^{2}}$&$12$\\ risch&$\frac{x^{6}}{\ln \left({\mathrm e}^{24}-20\right)^{2}}$&$12$\\ \hline \end{longtable}"," ",0,"x^6/ln(exp(24)-20)^2","A"
1377,1,32,26,0.259000," ","int((((24*x^3+36*x^2)*exp(5)-24*x^3+12*x^2+48)*exp(((12*x^3+36*x^2)*exp(5)-12*x^3+12*x^2-48)/x)+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{12 x^{3} {\mathrm e}^{5}+36 x^{2} {\mathrm e}^{5}-12 x^{3}+12 x^{2}-48}{x}}$&$32$\\ norman&$\frac{x^{2}+x \,{\mathrm e}^{\frac{\left(12 x^{3}+36 x^{2}\right) {\mathrm e}^{5}-12 x^{3}+12 x^{2}-48}{x}}}{x}$&$42$\\ \hline \end{longtable}"," ",0,"x+exp(12*(x^3*exp(5)+3*x^2*exp(5)-x^3+x^2-4)/x)","A"
1378,1,75,26,0.502000," ","int((((3*x^2-6*x+3)*exp(20+x)+3*x^3-17*x^2+23*x-9)*ln((36*x^2-72*x+36)/((9*x^2-18*x+9)*exp(20+x)^2+(18*x^3-102*x^2+138*x-54)*exp(20+x)+9*x^4-84*x^3+250*x^2-252*x+81))+(-6*x^2+12*x-6)*exp(20+x)-6*x^2+12*x-10)/((3*x^2-6*x+3)*exp(20+x)+3*x^3-17*x^2+23*x-9)/ln((36*x^2-72*x+36)/((9*x^2-18*x+9)*exp(20+x)^2+(18*x^3-102*x^2+138*x-54)*exp(20+x)+9*x^4-84*x^3+250*x^2-252*x+81)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\ln \left(\ln \left(\frac{36 x^{2}-72 x +36}{\left(9 x^{2}-18 x +9\right) {\mathrm e}^{40+2 x}+\left(18 x^{3}-102 x^{2}+138 x -54\right) {\mathrm e}^{20+x}+9 x^{4}-84 x^{3}+250 x^{2}-252 x +81}\right)\right)$&$75$\\ risch&$x +\ln \left(\ln \left(x^{2}+\left({\mathrm e}^{20+x}-\frac{14}{3}\right) x -{\mathrm e}^{20+x}+3\right)+\frac{i \left(\pi  \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i \left(x -1\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i \left(x -1\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(x -1\right)^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i \left(x -1\right)^{2}\right) \mathrm{csgn}\left(\frac{i}{\left(x^{2}+\left({\mathrm e}^{20+x}-\frac{14}{3}\right) x -{\mathrm e}^{20+x}+3\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)^{2}}{\left(x^{2}+\left({\mathrm e}^{20+x}-\frac{14}{3}\right) x -{\mathrm e}^{20+x}+3\right)^{2}}\right)-\pi  \,\mathrm{csgn}\left(i \left(x -1\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)^{2}}{\left(x^{2}+\left({\mathrm e}^{20+x}-\frac{14}{3}\right) x -{\mathrm e}^{20+x}+3\right)^{2}}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\left(x^{2}+\left({\mathrm e}^{20+x}-\frac{14}{3}\right) x -{\mathrm e}^{20+x}+3\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)^{2}}{\left(x^{2}+\left({\mathrm e}^{20+x}-\frac{14}{3}\right) x -{\mathrm e}^{20+x}+3\right)^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x^{2}+\left({\mathrm e}^{20+x}-\frac{14}{3}\right) x -{\mathrm e}^{20+x}+3\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+\left({\mathrm e}^{20+x}-\frac{14}{3}\right) x -{\mathrm e}^{20+x}+3\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x^{2}+\left({\mathrm e}^{20+x}-\frac{14}{3}\right) x -{\mathrm e}^{20+x}+3\right)\right) \mathrm{csgn}\left(i \left(x^{2}+\left({\mathrm e}^{20+x}-\frac{14}{3}\right) x -{\mathrm e}^{20+x}+3\right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x^{2}+\left({\mathrm e}^{20+x}-\frac{14}{3}\right) x -{\mathrm e}^{20+x}+3\right)^{2}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \left(x -1\right)^{2}}{\left(x^{2}+\left({\mathrm e}^{20+x}-\frac{14}{3}\right) x -{\mathrm e}^{20+x}+3\right)^{2}}\right)^{3}+4 i \ln \left(x -1\right)+4 i \ln \left(2\right)\right)}{4}\right)$&$435$\\ \hline \end{longtable}"," ",0,"x+ln(ln((36*x^2-72*x+36)/((9*x^2-18*x+9)*exp(20+x)^2+(18*x^3-102*x^2+138*x-54)*exp(20+x)+9*x^4-84*x^3+250*x^2-252*x+81)))","B"
1379,1,46,24,0.070000," ","int((((2*x*ln(2)-3*x^2+2*x)*exp(x)+9*x)*ln(x)+(2*ln(2)-3*x+5)*exp(x)-6*ln(2)+8*x-15)*exp(-1/(((2*ln(2)-3*x+5)*exp(x)-6*ln(2)+9*x-15)*ln(x)-x))/(((4*x*ln(2)^2+2*(-6*x^2+10*x)*ln(2)+9*x^3-30*x^2+25*x)*exp(x)^2+(-24*x*ln(2)^2+2*(36*x^2-60*x)*ln(2)-54*x^3+180*x^2-150*x)*exp(x)+36*x*ln(2)^2+2*(-54*x^2+90*x)*ln(2)+81*x^3-270*x^2+225*x)*ln(x)^2+((-4*x^2*ln(2)+6*x^3-10*x^2)*exp(x)+12*x^2*ln(2)-18*x^3+30*x^2)*ln(x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{1}{2 \ln \left(x \right) {\mathrm e}^{x} \ln \left(2\right)-3 x \,{\mathrm e}^{x} \ln \left(x \right)+5 \,{\mathrm e}^{x} \ln \left(x \right)-6 \ln \left(2\right) \ln \left(x \right)+9 x \ln \left(x \right)-15 \ln \left(x \right)-x}}$&$46$\\ \hline \end{longtable}"," ",0,"exp(-1/(2*ln(x)*exp(x)*ln(2)-3*x*exp(x)*ln(x)+5*exp(x)*ln(x)-6*ln(2)*ln(x)+9*x*ln(x)-15*ln(x)-x))","A"
1380,1,40,33,0.107000," ","int((((x-1)*exp(x)^2+(-x^2+4)*exp(x))*exp(exp(((-3-x)*exp(x)+x)/exp(x)))+(-4*exp(x)*x^2-4*x^3+4*x^2)*exp(((-3-x)*exp(x)+x)/exp(x)))/x^2/exp(x)/exp(exp(((-3-x)*exp(x)+x)/exp(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{4}{x}+\frac{{\mathrm e}^{x}}{x}-4 \,{\mathrm e}^{-{\mathrm e}^{-\left({\mathrm e}^{x} x +3 \,{\mathrm e}^{x}-x \right) {\mathrm e}^{-x}}}$&$40$\\ \hline \end{longtable}"," ",0,"-x-4/x+exp(x)/x-4*exp(-exp(-(exp(x)*x+3*exp(x)-x)*exp(-x)))","A"
1381,1,9,18,0.025000," ","int(-12/exp(1)^2/exp(4)^2/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$12 \,{\mathrm e}^{-10-x}$&$9$\\ meijerg&$-12 \,{\mathrm e}^{-10} \left(1-{\mathrm e}^{-x}\right)$&$13$\\ gosper&$12 \,{\mathrm e}^{-2} {\mathrm e}^{-8} {\mathrm e}^{-x}$&$15$\\ derivativedivides&$12 \,{\mathrm e}^{-2} {\mathrm e}^{-8} {\mathrm e}^{-x}$&$15$\\ default&$12 \,{\mathrm e}^{-2} {\mathrm e}^{-8} {\mathrm e}^{-x}$&$15$\\ norman&$12 \,{\mathrm e}^{-2} {\mathrm e}^{-8} {\mathrm e}^{-x}$&$15$\\ \hline \end{longtable}"," ",0,"12*exp(-10-x)","A"
1382,1,67,24,115.959000," ","int(((96*x^3+864*x^2+2592*x+2592)*exp(4)^2+(96*x^4+960*x^3+3456*x^2+4752*x+1296)*exp(4)+18*x^5+210*x^4+942*x^3+1998*x^2+1998*x+1134)*exp(((48*x^3+288*x^2+432*x)*exp(4)^2+(24*x^4+192*x^3+432*x^2+216*x)*exp(4)+3*x^5+30*x^4+111*x^3+198*x^2+189*x)/(x^2+6*x+9))^2/(x^3+9*x^2+27*x+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{6 x \left(8 x^{3} {\mathrm e}^{4}+x^{4}+64 x^{2} {\mathrm e}^{4}+16 x^{2} {\mathrm e}^{8}+10 x^{3}+144 x \,{\mathrm e}^{4}+96 x \,{\mathrm e}^{8}+37 x^{2}+72 \,{\mathrm e}^{4}+144 \,{\mathrm e}^{8}+66 x +63\right)}{\left(3+x \right)^{2}}}$&$67$\\ gosper&${\mathrm e}^{\frac{6 x \left(8 x^{3} {\mathrm e}^{4}+x^{4}+64 x^{2} {\mathrm e}^{4}+16 x^{2} {\mathrm e}^{8}+10 x^{3}+144 x \,{\mathrm e}^{4}+96 x \,{\mathrm e}^{8}+37 x^{2}+72 \,{\mathrm e}^{4}+144 \,{\mathrm e}^{8}+66 x +63\right)}{x^{2}+6 x +9}}$&$80$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{2 \left(48 x^{3}+288 x^{2}+432 x \right) {\mathrm e}^{8}+2 \left(24 x^{4}+192 x^{3}+432 x^{2}+216 x \right) {\mathrm e}^{4}+6 x^{5}+60 x^{4}+222 x^{3}+396 x^{2}+378 x}{x^{2}+6 x +9}}+9 \,{\mathrm e}^{\frac{2 \left(48 x^{3}+288 x^{2}+432 x \right) {\mathrm e}^{8}+2 \left(24 x^{4}+192 x^{3}+432 x^{2}+216 x \right) {\mathrm e}^{4}+6 x^{5}+60 x^{4}+222 x^{3}+396 x^{2}+378 x}{x^{2}+6 x +9}}+6 x \,{\mathrm e}^{\frac{2 \left(48 x^{3}+288 x^{2}+432 x \right) {\mathrm e}^{8}+2 \left(24 x^{4}+192 x^{3}+432 x^{2}+216 x \right) {\mathrm e}^{4}+6 x^{5}+60 x^{4}+222 x^{3}+396 x^{2}+378 x}{x^{2}+6 x +9}}}{\left(3+x \right)^{2}}$&$254$\\ \hline \end{longtable}"," ",0,"exp(6*x*(8*x^3*exp(4)+x^4+64*x^2*exp(4)+16*x^2*exp(8)+10*x^3+144*x*exp(4)+96*x*exp(8)+37*x^2+72*exp(4)+144*exp(8)+66*x+63)/(3+x)^2)","B"
1383,1,29,28,0.311000," ","int(((6*x^4+6*x^3+3*x^2+6*x-3)*ln(4*x/(x^2+1))+2*x^4+3*x^3-5*x^2-3*x+3)/(24*x^8+72*x^7+6*x^6-36*x^5+36*x^4-108*x^3+54*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(\frac{4 x}{x^{2}+1}\right)}{6 x \left(2 x^{2}+3 x -3\right)}$&$29$\\ risch&$-\frac{\ln \left(\frac{4 x}{x^{2}+1}\right)}{6 x \left(2 x^{2}+3 x -3\right)}$&$29$\\ \hline \end{longtable}"," ",0,"-1/6*ln(4*x/(x^2+1))/x/(2*x^2+3*x-3)","A"
1384,1,44,21,0.319000," ","int(((-8*x-12)*exp(1/(x^4+6*x^3+9*x^2))^2+(4*x^7+34*x^6+90*x^5+54*x^4-62*x^3-4*x^2+12*x)*exp(1/(x^4+6*x^3+9*x^2))+4*x^9+30*x^8+56*x^7-36*x^6-108*x^5+54*x^4)/(x^6+9*x^5+27*x^4+27*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}-2 x^{3}+x^{2}+{\mathrm e}^{\frac{2}{x^{2} \left(3+x \right)^{2}}}+\left(2 x^{2}-2 x \right) {\mathrm e}^{\frac{1}{x^{2} \left(3+x \right)^{2}}}$&$44$\\ norman&$\frac{x^{8}+x^{4} {\mathrm e}^{\frac{2}{x^{4}+6 x^{3}+9 x^{2}}}-81 x^{2}-54 x^{3}-12 x^{5}-2 x^{6}+4 x^{7}+9 x^{2} {\mathrm e}^{\frac{2}{x^{4}+6 x^{3}+9 x^{2}}}+6 x^{3} {\mathrm e}^{\frac{2}{x^{4}+6 x^{3}+9 x^{2}}}-18 \,{\mathrm e}^{\frac{1}{x^{4}+6 x^{3}+9 x^{2}}} x^{3}+6 \,{\mathrm e}^{\frac{1}{x^{4}+6 x^{3}+9 x^{2}}} x^{4}+10 \,{\mathrm e}^{\frac{1}{x^{4}+6 x^{3}+9 x^{2}}} x^{5}+2 \,{\mathrm e}^{\frac{1}{x^{4}+6 x^{3}+9 x^{2}}} x^{6}}{x^{2} \left(3+x \right)^{2}}$&$198$\\ \hline \end{longtable}"," ",0,"x^4-2*x^3+x^2+exp(2/x^2/(3+x)^2)+(2*x^2-2*x)*exp(1/x^2/(3+x)^2)","B"
1385,1,34,27,0.270000," ","int(((-x^3+4*x^2)*ln(x)^2+(-2*x^3+6*x^2+8*x)*ln(x)+(-x+4)*ln(-x+4)+4)/(2*x^3-8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(-x +4\right)}{2 x}-\frac{x^{2} \ln \left(x \right)^{2}+x \ln \left(x \right)^{2}-1}{2 x}$&$34$\\ default&$-\frac{x \ln \left(x \right)^{2}}{2}+\frac{\ln \left(-x \right)}{8}+\frac{\ln \left(-x +4\right) \left(-x +4\right)}{8 x}+\frac{\ln \left(x -4\right)}{8}+\frac{1}{2 x}-\frac{\ln \left(x \right)}{8}-\frac{\ln \left(x \right)^{2}}{2}$&$52$\\ \hline \end{longtable}"," ",0,"1/2/x*ln(-x+4)-1/2*(x^2*ln(x)^2+x*ln(x)^2-1)/x","A"
1386,1,22,22,0.176000," ","int(((-2*x^2-2)*exp((-x^2+4*x+1)/x)*exp(exp((-x^2+4*x+1)/x)+2*ln(2))+7*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$7 x +8 \,{\mathrm e}^{{\mathrm e}^{-\frac{x^{2}-4 x -1}{x}}}$&$22$\\ norman&$\frac{7 x^{2}+2 x \,{\mathrm e}^{{\mathrm e}^{\frac{-x^{2}+4 x +1}{x}}+2 \ln \left(2\right)}}{x}$&$35$\\ \hline \end{longtable}"," ",0,"7*x+8*exp(exp(-(x^2-4*x-1)/x))","A"
1387,1,333,26,0.625000," ","int((((-48*x+64)*ln(x)-16*x+64)*ln(2*x)*ln(exp(x)/ln(2*x))+(16*x^2-64*x)*ln(x)*ln(2*x)+(-16*x+64)*ln(x))/(x^5-12*x^4+48*x^3-64*x^2)/ln(x)^2/ln(2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 \ln \left({\mathrm e}^{x}\right)}{x \left(x^{2}-8 x +16\right) \ln \left(x \right)}+\frac{-8 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i}{2 i \ln \left(2\right)+2 i \ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{2 i \ln \left(2\right)+2 i \ln \left(x \right)}\right)+8 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{2 i \ln \left(2\right)+2 i \ln \left(x \right)}\right)^{2}-8 i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{2 i \ln \left(2\right)+2 i \ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{{\mathrm e}^{x}}{2 i \ln \left(2\right)+2 i \ln \left(x \right)}\right)-8 i \pi  \mathrm{csgn}\left(\frac{{\mathrm e}^{x}}{2 i \ln \left(2\right)+2 i \ln \left(x \right)}\right)^{2}+8 i \pi  \,\mathrm{csgn}\left(\frac{i}{2 i \ln \left(2\right)+2 i \ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{2 i \ln \left(2\right)+2 i \ln \left(x \right)}\right)^{2}-8 i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{2 i \ln \left(2\right)+2 i \ln \left(x \right)}\right)^{3}+8 i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{2 i \ln \left(2\right)+2 i \ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{{\mathrm e}^{x}}{2 i \ln \left(2\right)+2 i \ln \left(x \right)}\right)^{2}+8 i \pi  \mathrm{csgn}\left(\frac{{\mathrm e}^{x}}{2 i \ln \left(2\right)+2 i \ln \left(x \right)}\right)^{3}+8 i \pi +16 \ln \left(2\right)-16 \ln \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)}{x \left(x -4\right)^{2} \ln \left(x \right)}$&$333$\\ \hline \end{longtable}"," ",0,"16/x/(x^2-8*x+16)/ln(x)*ln(exp(x))+8*(-I*Pi*csgn(I*exp(x))*csgn(I/(2*I*ln(2)+2*I*ln(x)))*csgn(I*exp(x)/(2*I*ln(2)+2*I*ln(x)))+I*Pi*csgn(I*exp(x))*csgn(I*exp(x)/(2*I*ln(2)+2*I*ln(x)))^2-I*Pi*csgn(I*exp(x)/(2*I*ln(2)+2*I*ln(x)))*csgn(exp(x)/(2*I*ln(2)+2*I*ln(x)))-I*Pi*csgn(exp(x)/(2*I*ln(2)+2*I*ln(x)))^2+I*Pi*csgn(I/(2*I*ln(2)+2*I*ln(x)))*csgn(I*exp(x)/(2*I*ln(2)+2*I*ln(x)))^2-I*Pi*csgn(I*exp(x)/(2*I*ln(2)+2*I*ln(x)))^3+I*Pi*csgn(I*exp(x)/(2*I*ln(2)+2*I*ln(x)))*csgn(exp(x)/(2*I*ln(2)+2*I*ln(x)))^2+I*Pi*csgn(exp(x)/(2*I*ln(2)+2*I*ln(x)))^3+I*Pi+2*ln(2)-2*ln(2*I*ln(2)+2*I*ln(x)))/x/(x-4)^2/ln(x)","C"
1388,1,43,24,0.026000," ","int((3*x^2*ln(x)^2+(-16*x^3+8*x^2)*ln(x)-5*exp(x)+20*x^4-20*x^3+5*x^2)/(x^3*ln(x)^2+(-4*x^4+2*x^3)*ln(x)-5*exp(x)+4*x^5-4*x^4+x^3-125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \ln \left(x \right)+\ln \left(\ln \left(x \right)^{2}+\left(-4 x +2\right) \ln \left(x \right)+\frac{4 x^{5}-4 x^{4}+x^{3}-5 \,{\mathrm e}^{x}-125}{x^{3}}\right)$&$43$\\ \hline \end{longtable}"," ",0,"3*ln(x)+ln(ln(x)^2+(-4*x+2)*ln(x)+(4*x^5-4*x^4+x^3-5*exp(x)-125)/x^3)","A"
1389,1,30,24,0.224000," ","int((((-4*x-1)*exp(3)+4*x^4+4*x^3+21*x^2+10*x+25)*exp((exp(3)+2*x^3+x^2+5*x)/(2*x^2+x+5))+(4*x^4+4*x^3+21*x^2+10*x+25)*exp(x))/(4*x^4+4*x^3+21*x^2+10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x}+{\mathrm e}^{\frac{{\mathrm e}^{3}+2 x^{3}+x^{2}+5 x}{2 x^{2}+x +5}}$&$30$\\ norman&$\frac{{\mathrm e}^{x} x +{\mathrm e}^{\frac{{\mathrm e}^{3}+2 x^{3}+x^{2}+5 x}{2 x^{2}+x +5}} x +2 \,{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{\frac{{\mathrm e}^{3}+2 x^{3}+x^{2}+5 x}{2 x^{2}+x +5}} x^{2}+5 \,{\mathrm e}^{x}+5 \,{\mathrm e}^{\frac{{\mathrm e}^{3}+2 x^{3}+x^{2}+5 x}{2 x^{2}+x +5}}}{2 x^{2}+x +5}$&$115$\\ \hline \end{longtable}"," ",0,"exp(x)+exp((exp(3)+2*x^3+x^2+5*x)/(2*x^2+x+5))","A"
1390,1,23,20,0.316000," ","int(((-2*exp(1)-4*x+1252)*exp(2*x)-3*exp(1)+1875)/(exp(1)^2+(4*x-1250)*exp(1)+4*x^2-2500*x+390625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-{\mathrm e}^{2 x}-\frac{1875}{2}+\frac{3 \,{\mathrm e}}{2}}{{\mathrm e}-625+2 x}$&$23$\\ risch&$-\frac{1875}{2 \left({\mathrm e}-625+2 x \right)}+\frac{3 \,{\mathrm e}}{2 \left({\mathrm e}-625+2 x \right)}-\frac{{\mathrm e}^{2 x}}{{\mathrm e}-625+2 x}$&$41$\\ derivativedivides&$-\frac{1875}{2 \left({\mathrm e}-625+2 x \right)}+\frac{3 \,{\mathrm e}}{2 \left({\mathrm e}-625+2 x \right)}-\frac{626 \,{\mathrm e}^{2 x}}{{\mathrm e}-625+2 x}-626 \,{\mathrm e}^{-{\mathrm e}+625} \expIntegralEi \left(1, 625-{\mathrm e}-2 x \right)-\frac{{\mathrm e}^{2 x} \left({\mathrm e}-625\right)}{{\mathrm e}-625+2 x}+\left(-{\mathrm e}+626\right) {\mathrm e}^{-{\mathrm e}+625} \expIntegralEi \left(1, 625-{\mathrm e}-2 x \right)-{\mathrm e} \left(-\frac{{\mathrm e}^{2 x}}{{\mathrm e}-625+2 x}-{\mathrm e}^{-{\mathrm e}+625} \expIntegralEi \left(1, 625-{\mathrm e}-2 x \right)\right)$&$145$\\ default&$-\frac{1875}{2 \left({\mathrm e}-625+2 x \right)}+\frac{3 \,{\mathrm e}}{2 \left({\mathrm e}-625+2 x \right)}-\frac{626 \,{\mathrm e}^{2 x}}{{\mathrm e}-625+2 x}-626 \,{\mathrm e}^{-{\mathrm e}+625} \expIntegralEi \left(1, 625-{\mathrm e}-2 x \right)-\frac{{\mathrm e}^{2 x} \left({\mathrm e}-625\right)}{{\mathrm e}-625+2 x}+\left(-{\mathrm e}+626\right) {\mathrm e}^{-{\mathrm e}+625} \expIntegralEi \left(1, 625-{\mathrm e}-2 x \right)-{\mathrm e} \left(-\frac{{\mathrm e}^{2 x}}{{\mathrm e}-625+2 x}-{\mathrm e}^{-{\mathrm e}+625} \expIntegralEi \left(1, 625-{\mathrm e}-2 x \right)\right)$&$145$\\ \hline \end{longtable}"," ",0,"(-exp(2*x)-1875/2+3/2*exp(1))/(exp(1)-625+2*x)","A"
1391,1,8,11,0.013000," ","int(3*x^2+1/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{3}+\frac{1}{5} x$&$8$\\ norman&$x^{3}+\frac{1}{5} x$&$8$\\ risch&$x^{3}+\frac{1}{5} x$&$8$\\ gosper&$\frac{\left(5 x^{2}+1\right) x}{5}$&$11$\\ \hline \end{longtable}"," ",0,"x^3+1/5*x","A"
1392,1,21,21,0.056000," ","int((-2*x*ln(2)*exp(x)+2*(5*x-1)*ln(2))/x^2/exp(exp(x)+5/4*ln(3)-5*x-15/4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(2\right) 3^{\frac{3}{4}} {\mathrm e}^{-{\mathrm e}^{x}+\frac{15}{4}+5 x}}{9 x}$&$21$\\ norman&$\frac{2 \ln \left(2\right) {\mathrm e}^{-{\mathrm e}^{x}-\frac{5 \ln \left(3\right)}{4}+5 x +\frac{15}{4}}}{x}$&$22$\\ \hline \end{longtable}"," ",0,"2/9*ln(2)/x*3^(3/4)*exp(-exp(x)+15/4+5*x)","A"
1393,1,18,15,0.046000," ","int((2*exp(2)*x-3*x^2-18*x-1)/(x^2*exp(2)-x^3-9*x^2-x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x^{3}+\left(-{\mathrm e}^{2}+9\right) x^{2}+x -1\right)$&$18$\\ derivativedivides&$\ln \left(x^{2} {\mathrm e}^{2}-x^{3}-9 x^{2}-x +1\right)$&$23$\\ default&$\ln \left(x^{2} {\mathrm e}^{2}-x^{3}-9 x^{2}-x +1\right)$&$23$\\ norman&$\ln \left(x^{2} {\mathrm e}^{2}-x^{3}-9 x^{2}-x +1\right)$&$23$\\ \hline \end{longtable}"," ",0,"ln(x^3+(-exp(2)+9)*x^2+x-1)","A"
1394,1,24,24,0.377000," ","int(((5*x^2-40*x+61)*exp(9-x)*ln(5*x^2-40*x+61)+(10*x^2-80*x+122)*exp(9-x)+10*x-40)/(5*x^2-40*x+61)/exp(exp(9-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(2+\ln \left(5 x^{2}-40 x +61\right)\right) {\mathrm e}^{-{\mathrm e}^{9-x}}$&$24$\\ \hline \end{longtable}"," ",0,"(2+ln(5*x^2-40*x+61))*exp(-exp(9-x))","A"
1395,1,36,29,0.091000," ","int(((5*exp(2)*ln(x)+(-5*x+25)*exp(2))*ln(ln(x)-x+5)^2+(10*x-10)*exp(2)*ln(ln(x)-x+5)+(12*x^4-16*x^3+4*x^2+20)*ln(x)-12*x^5+76*x^4-84*x^3+20*x^2-20*x+100)/(4*x^2*ln(x)-4*x^3+20*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \,{\mathrm e}^{2} \ln \left(\ln \left(x \right)-x +5\right)^{2}}{4 x}+\frac{x^{4}-2 x^{3}+x^{2}-5}{x}$&$36$\\ \hline \end{longtable}"," ",0,"-5/4*exp(2)/x*ln(ln(x)-x+5)^2+(x^4-2*x^3+x^2-5)/x","A"
1396,1,127,25,0.098000," ","int(((3*x^2+6*x)*ln(x^2+2*x)+(6*x^2+7*x+2)*ln(x)-39*x^2-79*x-2)/((36*x^3+72*x^2)*ln(x)^2*ln(x^2+2*x)^2+((-936*x^3-1896*x^2-48*x)*ln(x)^2+(-24*x^3-48*x^2)*ln(x))*ln(x^2+2*x)+(6084*x^3+12480*x^2+628*x+8)*ln(x)^2+(312*x^3+632*x^2+16*x)*ln(x)+4*x^3+8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{i x}{2 \left(3 \ln \left(x \right) \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(2+x \right)\right) \mathrm{csgn}\left(i x \left(2+x \right)\right)-3 \ln \left(x \right) \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(2+x \right)\right)^{2}-3 \ln \left(x \right) \pi  x \,\mathrm{csgn}\left(i \left(2+x \right)\right) \mathrm{csgn}\left(i x \left(2+x \right)\right)^{2}+3 \ln \left(x \right) \pi  x \mathrm{csgn}\left(i x \left(2+x \right)\right)^{3}+6 i x \ln \left(x \right)^{2}+6 i x \ln \left(x \right) \ln \left(2+x \right)-78 i x \ln \left(x \right)-2 i x -2 i \ln \left(x \right)\right)}$&$127$\\ \hline \end{longtable}"," ",0,"-1/2*I*x/(3*ln(x)*Pi*x*csgn(I*x)*csgn(I*(2+x))*csgn(I*x*(2+x))-3*ln(x)*Pi*x*csgn(I*x)*csgn(I*x*(2+x))^2-3*ln(x)*Pi*x*csgn(I*(2+x))*csgn(I*x*(2+x))^2+3*ln(x)*Pi*x*csgn(I*x*(2+x))^3+6*I*x*ln(x)^2+6*I*x*ln(x)*ln(2+x)-78*I*x*ln(x)-2*I*x-2*I*ln(x))","C"
1397,1,123,24,0.102000," ","int(((18*x^2+48*x)*exp(x-ln(x))^2+(18*x^2+12*x-48)*exp(x-ln(x))-18*x+18)*exp(((9*x^2+48*x+61)*exp(x-ln(x))^2+(-18*x-48)*exp(x-ln(x))+9)/exp(x-ln(x))^2)/(x*exp(x-ln(x))^2*exp(((9*x^2+48*x+61)*exp(x-ln(x))^2+(-18*x-48)*exp(x-ln(x))+9)/exp(x-ln(x))^2)-2*x*exp(x-ln(x))^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 x^{2}+48 x +\left(-18 x^{2}-48 x \right) {\mathrm e}^{-x}+9 x^{2} {\mathrm e}^{-2 x}-\left(\frac{\left(9 x^{2}+48 x +61\right) {\mathrm e}^{2 x}}{x^{2}}+\frac{\left(-18 x -48\right) {\mathrm e}^{x}}{x}+9\right) x^{2} {\mathrm e}^{-2 x}+\ln \left({\mathrm e}^{-\left(-9 \,{\mathrm e}^{2 x} x^{2}+18 \,{\mathrm e}^{x} x^{2}-48 x \,{\mathrm e}^{2 x}+48 \,{\mathrm e}^{x} x -9 x^{2}-61 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{-2 x}}-2\right)$&$123$\\ \hline \end{longtable}"," ",0,"9*x^2+48*x+(-18*x^2-48*x)*exp(-x)+9*x^2*exp(-2*x)-((9*x^2+48*x+61)/x^2*exp(2*x)+(-18*x-48)*exp(x)/x+9)*x^2*exp(-2*x)+ln(exp(-(-9*exp(2*x)*x^2+18*exp(x)*x^2-48*x*exp(2*x)+48*exp(x)*x-9*x^2-61*exp(2*x))*exp(-2*x))-2)","B"
1398,1,18,22,0.069000," ","int(2*exp(x^2)*x+(2*exp(25)^2-2)*ln(2)*exp((-x*exp(25)^2+x)*ln(2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2^{-2 \left({\mathrm e}^{50}-1\right) x}+{\mathrm e}^{x^{2}}$&$18$\\ norman&$-{\mathrm e}^{2 \left(-x \,{\mathrm e}^{50}+x \right) \ln \left(2\right)}+{\mathrm e}^{x^{2}}$&$23$\\ default&$\frac{{\mathrm e}^{2 \left(-x \,{\mathrm e}^{50}+x \right) \ln \left(2\right)} {\mathrm e}^{50}}{-{\mathrm e}^{50}+1}-\frac{{\mathrm e}^{2 \left(-x \,{\mathrm e}^{50}+x \right) \ln \left(2\right)}}{-{\mathrm e}^{50}+1}+{\mathrm e}^{x^{2}}$&$63$\\ \hline \end{longtable}"," ",0,"-((1/2)^((exp(50)-1)*x))^2+exp(x^2)","A"
1399,1,25,29,0.282000," ","int(((-4*x^2+38*x-69)*exp(x)*exp(ln(-x+7)-2*x^2+9*x-16)+(x^2-6*x-7)*exp(x))/(9*x-63),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x} x}{9}+\frac{\left(-x +7\right) {\mathrm e}^{-2 x^{2}+10 x -16}}{9}$&$25$\\ norman&$\frac{{\mathrm e}^{x} x}{9}+\frac{{\mathrm e}^{x} {\mathrm e}^{\ln \left(-x +7\right)-2 x^{2}+9 x -16}}{9}$&$28$\\ \hline \end{longtable}"," ",0,"1/9*exp(x)*x+1/9*(-x+7)*exp(-2*x^2+10*x-16)","A"
1400,0,0,32,0.073000," ","int(((17*x^2-68*x+68)*exp(x^3-x^2)^2+((48*x^4-224*x^3+320*x^2-128*x-32)*exp(-x/(x-2))-34*x^4+136*x^3-136*x^2)*exp(x^3-x^2)+(-32*x^3+160*x^2-128*x)*exp(-x/(x-2))+17*x^6-68*x^5+68*x^4)/((16*x^2-64*x+64)*exp(x^3-x^2)^2+(-32*x^4+128*x^3-128*x^2)*exp(x^3-x^2)+16*x^6-64*x^5+64*x^4),x)","\[\int \frac{\left(17 x^{2}-68 x +68\right) {\mathrm e}^{2 x^{3}-2 x^{2}}+\left(\left(48 x^{4}-224 x^{3}+320 x^{2}-128 x -32\right) {\mathrm e}^{-\frac{x}{x -2}}-34 x^{4}+136 x^{3}-136 x^{2}\right) {\mathrm e}^{x^{3}-x^{2}}+\left(-32 x^{3}+160 x^{2}-128 x \right) {\mathrm e}^{-\frac{x}{x -2}}+17 x^{6}-68 x^{5}+68 x^{4}}{\left(16 x^{2}-64 x +64\right) {\mathrm e}^{2 x^{3}-2 x^{2}}+\left(-32 x^{4}+128 x^{3}-128 x^{2}\right) {\mathrm e}^{x^{3}-x^{2}}+16 x^{6}-64 x^{5}+64 x^{4}}\, dx\]"," ",0,"int(((17*x^2-68*x+68)*exp(x^3-x^2)^2+((48*x^4-224*x^3+320*x^2-128*x-32)*exp(-x/(x-2))-34*x^4+136*x^3-136*x^2)*exp(x^3-x^2)+(-32*x^3+160*x^2-128*x)*exp(-x/(x-2))+17*x^6-68*x^5+68*x^4)/((16*x^2-64*x+64)*exp(x^3-x^2)^2+(-32*x^4+128*x^3-128*x^2)*exp(x^3-x^2)+16*x^6-64*x^5+64*x^4),x)","F"
1401,1,30,25,0.038000," ","int(1/3*(36*x^2*ln(x)-2*x*exp(5)-48*x^3-384*x^2)/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}}{3}-44 \,{\mathrm e}^{-5} x^{3}-4 \,{\mathrm e}^{-5} x^{4}+4 \,{\mathrm e}^{-5} x^{3} \ln \left(x \right)$&$30$\\ default&$\frac{2 \,{\mathrm e}^{-5} \left(-6 x^{4}-66 x^{3}-\frac{x^{2} {\mathrm e}^{5}}{2}+6 x^{3} \ln \left(x \right)\right)}{3}$&$32$\\ norman&$-\frac{x^{2}}{3}-44 \,{\mathrm e}^{-5} x^{3}-4 \,{\mathrm e}^{-5} x^{4}+4 \,{\mathrm e}^{-5} x^{3} \ln \left(x \right)$&$36$\\ \hline \end{longtable}"," ",0,"-1/3*x^2-44*exp(-5)*x^3-4*exp(-5)*x^4+4*exp(-5)*x^3*ln(x)","A"
1402,1,44,28,0.134000," ","int(((4*x^6+4*x^5)*exp(x)^2*ln(x)^2+(72*x^6+76*x^5)*exp(x)^2*ln(x)+(324*x^6+360*x^5)*exp(x)^2-2*x^4+4*x^3)*exp(x^2*exp(x)^2*ln(x)^2+18*x^2*exp(x)^2*ln(x)+81*exp(x)^2*x^2-x)^2*exp(x^4*exp(x^2*exp(x)^2*ln(x)^2+18*x^2*exp(x)^2*ln(x)+81*exp(x)^2*x^2-x)^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{4} x^{36 \,{\mathrm e}^{2 x} x^{2}} {\mathrm e}^{2 x \left(\ln \left(x \right)^{2} {\mathrm e}^{2 x} x +81 x \,{\mathrm e}^{2 x}-1\right)}+1}$&$44$\\ \hline \end{longtable}"," ",0,"exp(x^4*(x^(18*exp(2*x)*x^2))^2*exp(2*x*(ln(x)^2*exp(2*x)*x+81*x*exp(2*x)-1))+1)","A"
1403,1,35,21,0.271000," ","int(((-35*x^3+105*x^2)*ln(x^2-6*x+9)^2+(140*x^3+140*x^2-420*x)*ln(x^2-6*x+9)-140*x^2-105*x+315)/(x^5-3*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{35-70 \ln \left(x^{2}-6 x +9\right) x +35 \ln \left(x^{2}-6 x +9\right)^{2} x^{2}}{x^{3}}$&$35$\\ risch&$\frac{35 \ln \left(x^{2}-6 x +9\right)^{2}}{x}-\frac{70 \ln \left(x^{2}-6 x +9\right)}{x^{2}}+\frac{35}{x^{3}}$&$37$\\ \hline \end{longtable}"," ",0,"(35-70*ln(x^2-6*x+9)*x+35*ln(x^2-6*x+9)^2*x^2)/x^3","A"
1404,1,18,17,0.718000," ","int(((x+1)*ln(ln(375))+(-x^2-2*x)*ln(2)-7)/(x*ln(ln(375))-x^2*ln(2)-7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\ln \left(x^{2} \ln \left(2\right)-x \ln \left(\ln \left(375\right)\right)+7\right)$&$18$\\ norman&$x +\ln \left(x^{2} \ln \left(2\right)-x \ln \left(\ln \left(375\right)\right)+7\right)$&$18$\\ risch&$x +\ln \left(x^{2} \ln \left(2\right)-x \ln \left(\ln \left(3\right)+3 \ln \left(5\right)\right)+7\right)$&$23$\\ \hline \end{longtable}"," ",0,"x+ln(x^2*ln(2)-x*ln(ln(375))+7)","A"
1405,1,21,26,0.031000," ","int((-4*x^3-33*x^2-22*x-1)/(ln(2)+x^4+11*x^3+11*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(\ln \left(2\right)+x^{4}+11 x^{3}+11 x^{2}+x \right)$&$21$\\ norman&$-\ln \left(\ln \left(2\right)+x^{4}+11 x^{3}+11 x^{2}+x \right)$&$21$\\ risch&$-\ln \left(\ln \left(2\right)+x^{4}+11 x^{3}+11 x^{2}+x \right)$&$21$\\ \hline \end{longtable}"," ",0,"-ln(ln(2)+x^4+11*x^3+11*x^2+x)","A"
1406,1,8,8,0.016000," ","int((2*x^2+x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)+x^{2}+x$&$8$\\ norman&$\ln \left(x \right)+x^{2}+x$&$8$\\ risch&$\ln \left(x \right)+x^{2}+x$&$8$\\ \hline \end{longtable}"," ",0,"ln(x)+x^2+x","A"
1407,1,205,30,0.512000," ","int(((-648*x^2+18*x)*ln(exp(x)/x)*ln(ln(exp(x)/x))^2+(-432*x^3+30*x^2)*ln(exp(x)/x)*ln(ln(exp(x)/x))+(-72*x^4+2*x^3)*ln(exp(x)/x)-18*x^3+18*x^2)*exp(((-108*x+3)*ln(ln(exp(x)/x))-36*x^2+4*x)/(3*ln(ln(exp(x)/x))+x))^2/(9*ln(exp(x)/x)*ln(ln(exp(x)/x))^2+6*x*ln(exp(x)/x)*ln(ln(exp(x)/x))+x^2*ln(exp(x)/x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{-\frac{2 \left(108 \ln \left(-\ln \left(x \right)+\ln \left({\mathrm e}^{x}\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right) \left(-\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right)}{2}\right) x +36 x^{2}-3 \ln \left(-\ln \left(x \right)+\ln \left({\mathrm e}^{x}\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right) \left(-\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right)}{2}\right)-4 x \right)}{3 \ln \left(-\ln \left(x \right)+\ln \left({\mathrm e}^{x}\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right) \left(-\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right)}{2}\right)+x}}$&$205$\\ \hline \end{longtable}"," ",0,"x^2*exp(-2*(108*ln(-ln(x)+ln(exp(x))-1/2*I*Pi*csgn(I/x*exp(x))*(-csgn(I/x*exp(x))+csgn(I/x))*(-csgn(I/x*exp(x))+csgn(I*exp(x))))*x+36*x^2-3*ln(-ln(x)+ln(exp(x))-1/2*I*Pi*csgn(I/x*exp(x))*(-csgn(I/x*exp(x))+csgn(I/x))*(-csgn(I/x*exp(x))+csgn(I*exp(x))))-4*x)/(3*ln(-ln(x)+ln(exp(x))-1/2*I*Pi*csgn(I/x*exp(x))*(-csgn(I/x*exp(x))+csgn(I/x))*(-csgn(I/x*exp(x))+csgn(I*exp(x))))+x))","C"
1408,1,24,29,0.085000," ","int(((4*x^2-2*x+4)*ln(x)*ln(ln(x)/x^2)-4*ln(x)+2)/x/ln(x)/ln(ln(x)/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 \ln \left(x \right)-2 x +2 x^{2}+2 \ln \left(\ln \left(\frac{\ln \left(x \right)}{x^{2}}\right)\right)$&$24$\\ risch&$2 x^{2}-2 x +4 \ln \left(x \right)+2 \ln \left(\ln \left(\ln \left(x \right)\right)+\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x^{2}}\right)+\pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x^{2}}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x^{2}}\right)^{3}+4 i \ln \left(x \right)\right)}{2}\right)$&$152$\\ \hline \end{longtable}"," ",0,"4*ln(x)-2*x+2*x^2+2*ln(ln(ln(x)/x^2))","A"
1409,1,16,17,0.069000," ","int((-48*x+744)*ln(3)/((x-16)*ln(x-16)^2+(4*x^2-56*x-128)*ln(x-16)+4*x^3-48*x^2-240*x-256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{24 \ln \left(3\right)}{\ln \left(x -16\right)+2 x +4}$&$16$\\ risch&$\frac{24 \ln \left(3\right)}{\ln \left(x -16\right)+2 x +4}$&$16$\\ \hline \end{longtable}"," ",0,"24*ln(3)/(ln(x-16)+2*x+4)","A"
1410,1,30,27,0.048000," ","int((exp(x)*x^2-x^5+3*x^4+23*x^3-70*x^2-6*x-4)/((x^3+4*x^2)*exp(x)-x^5+2*x^4+15*x^3-37*x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\ln \left(x^{3}-6 x^{2}-{\mathrm e}^{x} x +9 x +1\right)+\ln \left(x \right)+\ln \left(4+x \right)$&$30$\\ risch&$\ln \left(4+x \right)+x -\ln \left({\mathrm e}^{x}-\frac{x^{3}-6 x^{2}+9 x +1}{x}\right)$&$31$\\ \hline \end{longtable}"," ",0,"x-ln(x^3-6*x^2-exp(x)*x+9*x+1)+ln(x)+ln(4+x)","A"
1411,1,28,27,0.148000," ","int(((4*x*(2*ln(2)+I*Pi)-2*x*exp(2)^2)*exp(1/9*x^2)*exp(exp(1/9*x^2))+72*ln(2)+36*I*Pi-18*exp(2)^2)/(9*exp(exp(1/9*x^2))^2+36*x*exp(exp(1/9*x^2))+36*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{4}-4 \ln \left(2\right)-2 i \pi}{2 x +{\mathrm e}^{{\mathrm e}^{\frac{x^{2}}{9}}}}$&$28$\\ risch&$-\frac{2 i \pi}{2 x +{\mathrm e}^{{\mathrm e}^{\frac{x^{2}}{9}}}}+\frac{{\mathrm e}^{4}}{2 x +{\mathrm e}^{{\mathrm e}^{\frac{x^{2}}{9}}}}-\frac{4 \ln \left(2\right)}{2 x +{\mathrm e}^{{\mathrm e}^{\frac{x^{2}}{9}}}}$&$52$\\ \hline \end{longtable}"," ",0,"(exp(2)^2-4*ln(2)-2*I*Pi)/(2*x+exp(exp(1/9*x^2)))","A"
1412,1,64,27,0.049000," ","int(((32*x^6-128*x^5+160*x^4-64*x^3)*ln(x-1)^3+(-32*x^6+64*x^5-32*x^4)*ln(x-1)^2+(16*x^8-32*x^7)*ln(x-1)-16*x^8)/(x^5-5*x^4+10*x^3-10*x^2+5*x-1)/ln(x-1)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \left(x^{4}+4 \ln \left(x -1\right)^{2} x^{2}-8 \ln \left(x -1\right)^{2} x +4 \ln \left(x -1\right)^{2}\right) x^{4}}{\left(x^{4}-4 x^{3}+6 x^{2}-4 x +1\right) \ln \left(x -1\right)^{4}}$&$64$\\ derivativedivides&$\frac{64 x -64}{\ln \left(x -1\right)^{2}}+\frac{32 \left(x -1\right)^{3}}{\ln \left(x -1\right)^{4}}+\frac{96}{\ln \left(x -1\right)^{2}}+\frac{112 \left(x -1\right)^{2}}{\ln \left(x -1\right)^{4}}+\frac{224 x -224}{\ln \left(x -1\right)^{4}}+\frac{16}{\left(x -1\right)^{2} \ln \left(x -1\right)^{2}}+\frac{280}{\ln \left(x -1\right)^{4}}+\frac{112}{\left(x -1\right)^{2} \ln \left(x -1\right)^{4}}+\frac{32}{\left(x -1\right)^{3} \ln \left(x -1\right)^{4}}+\frac{4}{\left(x -1\right)^{4} \ln \left(x -1\right)^{4}}+\frac{4 \left(x -1\right)^{4}}{\ln \left(x -1\right)^{4}}+\frac{16 \left(x -1\right)^{2}}{\ln \left(x -1\right)^{2}}+\frac{64}{\left(x -1\right) \ln \left(x -1\right)^{2}}+\frac{224}{\left(x -1\right) \ln \left(x -1\right)^{4}}$&$170$\\ default&$\frac{64 x -64}{\ln \left(x -1\right)^{2}}+\frac{32 \left(x -1\right)^{3}}{\ln \left(x -1\right)^{4}}+\frac{96}{\ln \left(x -1\right)^{2}}+\frac{112 \left(x -1\right)^{2}}{\ln \left(x -1\right)^{4}}+\frac{224 x -224}{\ln \left(x -1\right)^{4}}+\frac{16}{\left(x -1\right)^{2} \ln \left(x -1\right)^{2}}+\frac{280}{\ln \left(x -1\right)^{4}}+\frac{112}{\left(x -1\right)^{2} \ln \left(x -1\right)^{4}}+\frac{32}{\left(x -1\right)^{3} \ln \left(x -1\right)^{4}}+\frac{4}{\left(x -1\right)^{4} \ln \left(x -1\right)^{4}}+\frac{4 \left(x -1\right)^{4}}{\ln \left(x -1\right)^{4}}+\frac{16 \left(x -1\right)^{2}}{\ln \left(x -1\right)^{2}}+\frac{64}{\left(x -1\right) \ln \left(x -1\right)^{2}}+\frac{224}{\left(x -1\right) \ln \left(x -1\right)^{4}}$&$170$\\ \hline \end{longtable}"," ",0,"4*(x^4+4*ln(x-1)^2*x^2-8*ln(x-1)^2*x+4*ln(x-1)^2)*x^4/(x^4-4*x^3+6*x^2-4*x+1)/ln(x-1)^4","B"
1413,1,310,23,0.156000," ","int(((12*x^2-48*x+36)*ln(exp(x)/x)^2+(8*x^3-56*x^2+120*x-72)*ln(exp(x)/x))/exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-2} \left(-12 x^{2} \ln \left(x \right)-24 x^{2} \ln \left(x \right)^{2}-\frac{16 x^{4}}{3}-24 x^{3}+72 x^{2}+2 x^{5}+\frac{88 x^{3} \ln \left(x \right)}{3}-6 x^{4} \ln \left(x \right)+36 x \ln \left(x \right)^{2}-72 x \ln \left(x \right)+60 x^{2} \ln \left(\frac{{\mathrm e}^{x}}{x}\right)+4 x^{3} \ln \left(x \right)^{2}-72 x \ln \left(\frac{{\mathrm e}^{x}}{x}\right)+2 \ln \left(\frac{{\mathrm e}^{x}}{x}\right) x^{4}+6 \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)+\ln \left(x \right)-x \right) x^{4}+4 \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)+\ln \left(x \right)-x \right)^{2} x^{3}-\frac{88 x^{3} \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)+\ln \left(x \right)-x \right)}{3}+12 x^{2} \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)+\ln \left(x \right)-x \right)+72 x \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)+\ln \left(x \right)-x \right)-24 \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)+\ln \left(x \right)-x \right)^{2} x^{2}+36 \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)+\ln \left(x \right)-x \right)^{2} x -\frac{56 \ln \left(\frac{{\mathrm e}^{x}}{x}\right) x^{3}}{3}-8 \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)+\ln \left(x \right)-x \right) x^{3} \ln \left(x \right)+48 \ln \left(x \right) \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)+\ln \left(x \right)-x \right) x^{2}-72 \ln \left(x \right) \left(\ln \left(\frac{{\mathrm e}^{x}}{x}\right)+\ln \left(x \right)-x \right) x \right)$&$310$\\ risch&$-9 \,{\mathrm e}^{-2} \pi^{2} x \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{6}-{\mathrm e}^{-2} \pi^{2} x^{3} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{6}+6 \,{\mathrm e}^{-2} \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{6}+6 \,{\mathrm e}^{-2} \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}-12 \,{\mathrm e}^{-2} \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3}-12 \,{\mathrm e}^{-2} \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3}+24 \,{\mathrm e}^{-2} \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{4}-9 \,{\mathrm e}^{-2} \pi^{2} x \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}+18 \,{\mathrm e}^{-2} \pi^{2} x \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3}+18 \,{\mathrm e}^{-2} \pi^{2} x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3}-36 \,{\mathrm e}^{-2} \pi^{2} x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{4}-{\mathrm e}^{-2} \pi^{2} x^{3} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}+2 \,{\mathrm e}^{-2} \pi^{2} x^{3} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3}+2 \,{\mathrm e}^{-2} \pi^{2} x^{3} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3}-4 \,{\mathrm e}^{-2} \pi^{2} x^{3} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{4}-36 i {\mathrm e}^{-2} \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2} \ln \left(x \right)+24 i {\mathrm e}^{-2} \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2} \ln \left(x \right)-36 i {\mathrm e}^{-2} \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2} \ln \left(x \right)-4 i {\mathrm e}^{-2} \pi  \,x^{3} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2} \ln \left(x \right)-4 i {\mathrm e}^{-2} \pi  \,x^{3} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2} \ln \left(x \right)+24 i {\mathrm e}^{-2} \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2} \ln \left(x \right)-{\mathrm e}^{-2} \pi^{2} x^{3} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{4}+2 \,{\mathrm e}^{-2} \pi^{2} x^{3} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{5}+6 \,{\mathrm e}^{-2} \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{4}-12 \,{\mathrm e}^{-2} \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{5}+6 \,{\mathrm e}^{-2} \pi^{2} x^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{4}-12 \,{\mathrm e}^{-2} \pi^{2} x^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{5}-9 \,{\mathrm e}^{-2} \pi^{2} x \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{4}+18 \,{\mathrm e}^{-2} \pi^{2} x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{5}-9 \,{\mathrm e}^{-2} \pi^{2} x \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{4}+18 \,{\mathrm e}^{-2} \pi^{2} x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{5}+36 i {\mathrm e}^{-2} \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3} \ln \left(x \right)-24 i {\mathrm e}^{-2} \pi  \,x^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3} \ln \left(x \right)+4 i {\mathrm e}^{-2} \pi  \,x^{3} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3} \ln \left(x \right)-{\mathrm e}^{-2} \pi^{2} x^{3} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{4}+2 \,{\mathrm e}^{-2} \pi^{2} x^{3} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{5}+4 i {\mathrm e}^{-2} \pi  \,x^{3} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right) \ln \left(x \right)-24 i {\mathrm e}^{-2} \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right) \ln \left(x \right)+36 i {\mathrm e}^{-2} \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right) \ln \left(x \right)+{\mathrm e}^{-2} \left(-4 i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)+4 i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}+4 i \pi  \,x^{3} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}-4 i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3}+24 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)-24 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}-24 i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}+24 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3}-36 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)+36 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}+36 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}-36 i \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3}-8 x^{3} \ln \left(x \right)+48 x^{2} \ln \left(x \right)-72 x \ln \left(x \right)\right) \ln \left({\mathrm e}^{x}\right)+4 \,{\mathrm e}^{-2} x^{3} \ln \left(x \right)^{2}+{\mathrm e}^{-2} \left(4 x^{3}-24 x^{2}+36 x \right) \ln \left({\mathrm e}^{x}\right)^{2}-24 \,{\mathrm e}^{-2} x^{2} \ln \left(x \right)^{2}+36 \,{\mathrm e}^{-2} x \ln \left(x \right)^{2}$&$1508$\\ \hline \end{longtable}"," ",0,"1/exp(1)^2*(-12*x^2*ln(x)-24*x^2*ln(x)^2-16/3*x^4-24*x^3+72*x^2+2*x^5+88/3*x^3*ln(x)-6*x^4*ln(x)+36*x*ln(x)^2-72*x*ln(x)+60*x^2*ln(exp(x)/x)+4*x^3*ln(x)^2-72*x*ln(exp(x)/x)+2*ln(exp(x)/x)*x^4+6*(ln(exp(x)/x)+ln(x)-x)*x^4+4*(ln(exp(x)/x)+ln(x)-x)^2*x^3-88/3*x^3*(ln(exp(x)/x)+ln(x)-x)+12*x^2*(ln(exp(x)/x)+ln(x)-x)+72*x*(ln(exp(x)/x)+ln(x)-x)-24*(ln(exp(x)/x)+ln(x)-x)^2*x^2+36*(ln(exp(x)/x)+ln(x)-x)^2*x-56/3*ln(exp(x)/x)*x^3-8*(ln(exp(x)/x)+ln(x)-x)*x^3*ln(x)+48*ln(x)*(ln(exp(x)/x)+ln(x)-x)*x^2-72*ln(x)*(ln(exp(x)/x)+ln(x)-x)*x)","B"
1414,1,80,22,0.083000," ","int((10*x^2+x-1)/(x*ln(x)+x*ln(2)-5*x^3-x^2-x)/ln(-4/(ln(x)+ln(2)-5*x^2-x-1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\ln \left(x \right)+\ln \left(2\right)-5 x^{2}-x -1\right)-\frac{i \left(-2 \pi  \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+\ln \left(2\right)-5 x^{2}-x -1}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+\ln \left(2\right)-5 x^{2}-x -1}\right)^{3}-4 i \ln \left(2\right)+2 \pi \right)}{2}\right)$&$80$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(x)+ln(2)-5*x^2-x-1)-1/2*I*(-2*Pi*csgn(I/(ln(x)+ln(2)-5*x^2-x-1))^2+2*Pi*csgn(I/(ln(x)+ln(2)-5*x^2-x-1))^3-4*I*ln(2)+2*Pi))","C"
1415,1,29,29,0.244000," ","int((((x+1)*ln(x+1)+5*x^3+6*x^2)*exp((-ln(x+1)+5*x^2)/x)+(x^2+x)*exp(4)^2+(10*x^2+10*x)*exp(4)+24*x^2+24*x)/(x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \left(x +1\right)^{-\frac{1}{x}} {\mathrm e}^{5 x}+10 x \,{\mathrm e}^{4}+x \,{\mathrm e}^{8}+24 x$&$29$\\ norman&$x \,{\mathrm e}^{\frac{-\ln \left(x +1\right)+5 x^{2}}{x}}+\left({\mathrm e}^{8}+10 \,{\mathrm e}^{4}+24\right) x$&$33$\\ default&$24 x +x \,{\mathrm e}^{8}+x \,{\mathrm e}^{\frac{-\ln \left(x +1\right)+5 x^{2}}{x}}+10 x \,{\mathrm e}^{4}$&$35$\\ \hline \end{longtable}"," ",0,"x*(x+1)^(-1/x)*exp(5*x)+10*x*exp(4)+x*exp(8)+24*x","A"
1416,1,23,18,0.115000," ","int((exp(-2*x+10)^4+128*x*exp(5))*exp((4*exp(5)*exp(-2*x+10)^4+16*exp(5))/exp(-2*x+10)^4)/exp(-2*x+10)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{4 \left({\mathrm e}^{45-8 x}+4 \,{\mathrm e}^{5}\right) {\mathrm e}^{8 x -40}}$&$23$\\ norman&$x \,{\mathrm e}^{\left(4 \,{\mathrm e}^{5} {\mathrm e}^{-8 x +40}+16 \,{\mathrm e}^{5}\right) {\mathrm e}^{8 x -40}}$&$30$\\ \hline \end{longtable}"," ",0,"x*exp(4*(exp(45-8*x)+4*exp(5))*exp(8*x-40))","A"
1417,1,20,20,0.031000," ","int(2500/9*x^3*ln(2)^2+1/9*(-7000*x^4-1800*x^2)*ln(2)+1568/3*x^5+896/3*x^3+32*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{2} \left(25 x \ln \left(2\right)-28 x^{2}-12\right)^{2}}{9}$&$20$\\ norman&$\left(\frac{625 \ln \left(2\right)^{2}}{9}+\frac{224}{3}\right) x^{4}+16 x^{2}+\frac{784 x^{6}}{9}-\frac{200 x^{3} \ln \left(2\right)}{3}-\frac{1400 x^{5} \ln \left(2\right)}{9}$&$38$\\ risch&$\frac{625 x^{4} \ln \left(2\right)^{2}}{9}-\frac{1400 x^{5} \ln \left(2\right)}{9}-\frac{200 x^{3} \ln \left(2\right)}{3}+\frac{784 x^{6}}{9}+\frac{224 x^{4}}{3}+16 x^{2}$&$40$\\ default&$\frac{625 x^{4} \ln \left(2\right)^{2}}{9}+\frac{\ln \left(2\right) \left(-1400 x^{5}-600 x^{3}\right)}{9}+\frac{784 x^{6}}{9}+\frac{224 x^{4}}{3}+16 x^{2}$&$41$\\ \hline \end{longtable}"," ",0,"1/9*x^2*(25*x*ln(2)-28*x^2-12)^2","A"
1418,1,21,28,0.449000," ","int(((-2*x^3-6*x^2)*exp(x)*exp(ln(-x^2-x+1)+x)^2+(-2*x^2-2*x+2)*exp(x))/(3*x^5+3*x^4-3*x^3)/exp(exp(ln(-x^2-x+1)+x)^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-{\mathrm e}^{2 x} \left(x^{2}+x -1\right)^{2}}}{3 x^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"1/3/x^2*exp(-exp(2*x)*(x^2+x-1)^2)","A"
1419,1,24,24,0.079000," ","int((ln(ln(2))^2-x*ln(ln(2))+x^4+7*x^3+4*x^2)/(x*ln(ln(2))^2+(2*x^3+4*x^2)*ln(ln(2))+x^5+4*x^4+4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-3 x +\ln \left(\ln \left(2\right)\right)}{x^{2}+\ln \left(\ln \left(2\right)\right)+2 x}+\ln \left(x \right)$&$24$\\ risch&$\frac{-3 x +\ln \left(\ln \left(2\right)\right)}{x^{2}+\ln \left(\ln \left(2\right)\right)+2 x}+\ln \left(x \right)$&$24$\\ default&$-\frac{3 x -\ln \left(\ln \left(2\right)\right)}{x^{2}+\ln \left(\ln \left(2\right)\right)+2 x}+\ln \left(x \right)$&$27$\\ \hline \end{longtable}"," ",0,"(-3*x+ln(ln(2)))/(x^2+ln(ln(2))+2*x)+ln(x)","A"
1420,1,18,17,0.250000," ","int(((5*x-5)*ln(1-x)^2+(-10*x^2+10*x)*ln(1-x)+5*x^2)/(x-1)/ln(1-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x -\frac{5 x^{2}}{\ln \left(1-x \right)}$&$18$\\ norman&$\frac{-5 x^{2}+5 x \ln \left(1-x \right)}{\ln \left(1-x \right)}$&$25$\\ derivativedivides&$-5+5 x -\frac{5 \left(1-x \right)^{2}}{\ln \left(1-x \right)}+\frac{-10 x +10}{\ln \left(1-x \right)}-\frac{5}{\ln \left(1-x \right)}$&$48$\\ default&$-5+5 x -\frac{5 \left(1-x \right)^{2}}{\ln \left(1-x \right)}+\frac{-10 x +10}{\ln \left(1-x \right)}-\frac{5}{\ln \left(1-x \right)}$&$48$\\ \hline \end{longtable}"," ",0,"5*x-5*x^2/ln(1-x)","A"
1421,1,17,12,0.537000," ","int((4*x-16)*ln(3)/((2*x^2-16*x+32)*ln(3)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\left(2 x^{2}-16 x +32\right) \ln \left(3\right)+9\right)$&$17$\\ default&$\ln \left(2 x^{2} \ln \left(3\right)-16 x \ln \left(3\right)+32 \ln \left(3\right)+9\right)$&$20$\\ norman&$\ln \left(2 x^{2} \ln \left(3\right)-16 x \ln \left(3\right)+32 \ln \left(3\right)+9\right)$&$20$\\ risch&$\ln \left(2 x^{2} \ln \left(3\right)-16 x \ln \left(3\right)+32 \ln \left(3\right)+9\right)$&$20$\\ \hline \end{longtable}"," ",0,"ln((2*x^2-16*x+32)*ln(3)+9)","A"
1422,1,34,30,0.230000," ","int(((-x*ln(3*x)^2*exp((exp(25/ln(3*x))+x^2)/x)+5*x^3*ln(3*x)^2)*ln(1/5*exp((exp(25/ln(3*x))+x^2)/x)-x^2)+((-ln(x)*ln(3*x)^2-25*ln(x))*exp(25/ln(3*x))+x^2*ln(x)*ln(3*x)^2)*exp((exp(25/ln(3*x))+x^2)/x)-10*x^3*ln(x)*ln(3*x)^2)/(x^2*ln(x)^2*ln(3*x)^2*exp((exp(25/ln(3*x))+x^2)/x)-5*x^4*ln(x)^2*ln(3*x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\frac{{\mathrm e}^{\frac{{\mathrm e}^{\frac{25}{\ln \left(x \right)+\ln \left(3\right)}}+x^{2}}{x}}}{5}-x^{2}\right)}{\ln \left(x \right)}$&$34$\\ \hline \end{longtable}"," ",0,"1/ln(x)*ln(1/5*exp((exp(25/(ln(x)+ln(3)))+x^2)/x)-x^2)","A"
1423,1,14,20,0.020000," ","int(1/4*(-2*x^2+1)*ln(5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(5\right) \left(-2 x -\frac{1}{x}\right)}{4}$&$14$\\ risch&$-\frac{x \ln \left(5\right)}{2}-\frac{\ln \left(5\right)}{4 x}$&$14$\\ gosper&$-\frac{\ln \left(5\right) \left(2 x^{2}+1\right)}{4 x}$&$15$\\ norman&$\frac{-\frac{x^{2} \ln \left(5\right)}{2}-\frac{\ln \left(5\right)}{4}}{x}$&$17$\\ \hline \end{longtable}"," ",0,"1/4*ln(5)*(-2*x-1/x)","A"
1424,1,20,20,0.029000," ","int((-ln(2)+exp(2)+x^4+4*x^3+x+8)*exp(x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x} \left(7+{\mathrm e}^{2}+x^{4}-\ln \left(2\right)+x \right)-x$&$20$\\ norman&$\left(7+{\mathrm e}^{2}-\ln \left(2\right)\right) {\mathrm e}^{x}+{\mathrm e}^{x} x +{\mathrm e}^{x} x^{4}-x$&$26$\\ default&$-x +{\mathrm e}^{x} x +7 \,{\mathrm e}^{x}+{\mathrm e}^{x} x^{4}+{\mathrm e}^{2} {\mathrm e}^{x}-{\mathrm e}^{x} \ln \left(2\right)$&$30$\\ \hline \end{longtable}"," ",0,"exp(x)*(7+exp(2)+x^4-ln(2)+x)-x","A"
1425,1,27,21,0.054000," ","int(((10*x^4+5*x^3)*exp(x^2+x)+(2*x-2)*exp(x)^2)*exp((5*x^2*exp(x^2+x)+exp(x)^2-6*x^2)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{5 x^{2} {\mathrm e}^{\left(x +1\right) x}+{\mathrm e}^{2 x}-6 x^{2}}{x^{2}}}$&$27$\\ \hline \end{longtable}"," ",0,"exp((5*x^2*exp((x+1)*x)+exp(2*x)-6*x^2)/x^2)","A"
1426,1,22,15,0.015000," ","int((20*x+30)*ln(x)+110*x+180,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$150 x +10 x^{2} \ln \left(x \right)+50 x^{2}+30 x \ln \left(x \right)$&$22$\\ norman&$150 x +10 x^{2} \ln \left(x \right)+50 x^{2}+30 x \ln \left(x \right)$&$22$\\ risch&$\left(10 x^{2}+30 x \right) \ln \left(x \right)+50 x^{2}+150 x$&$22$\\ \hline \end{longtable}"," ",0,"150*x+10*x^2*ln(x)+50*x^2+30*x*ln(x)","A"
1427,1,17,17,0.026000," ","int(192*exp(3*x)^2+240*exp(3*x)+7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$7 x +32 \,{\mathrm e}^{6 x}+80 \,{\mathrm e}^{3 x}$&$17$\\ default&$7 x +32 \,{\mathrm e}^{6 x}+80 \,{\mathrm e}^{3 x}$&$19$\\ norman&$7 x +32 \,{\mathrm e}^{6 x}+80 \,{\mathrm e}^{3 x}$&$19$\\ derivativedivides&$32 \,{\mathrm e}^{6 x}+80 \,{\mathrm e}^{3 x}+\frac{7 \ln \left({\mathrm e}^{3 x}\right)}{3}$&$23$\\ \hline \end{longtable}"," ",0,"7*x+32*exp(6*x)+80*exp(3*x)","A"
1428,1,35,30,0.041000," ","int(((6*x*exp(1/3*x-16/3)-24*x)*ln(exp(1/3*x-16/3)-4)^2+((3*ln(3)^2-12*x*ln(3)+12*x^3+9*x^2)*exp(1/3*x-16/3)-12*ln(3)^2+48*x*ln(3)-48*x^3-36*x^2)*ln(exp(1/3*x-16/3)-4)+((-3*x^2-x)*ln(3)^2+2*x^2*ln(3)+6*x^5+3*x^4-x^3)*exp(1/3*x-16/3)+12*x^2*ln(3)^2-24*x^5-12*x^4)/((3*exp(1/3*x-16/3)-12)*ln(exp(1/3*x-16/3)-4)^2+(6*x^2*exp(1/3*x-16/3)-24*x^2)*ln(exp(1/3*x-16/3)-4)+3*x^4*exp(1/3*x-16/3)-12*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{\left(\ln \left(3\right)^{2}-2 x \ln \left(3\right)+x^{2}\right) x}{x^{2}+\ln \left({\mathrm e}^{\frac{x}{3}-\frac{16}{3}}-4\right)}$&$35$\\ \hline \end{longtable}"," ",0,"x^2+(ln(3)^2-2*x*ln(3)+x^2)*x/(x^2+ln(exp(1/3*x-16/3)-4))","A"
1429,1,17,24,0.040000," ","int(((-exp(x)*x-4)*ln(x)+8*exp(x)*x+29)/(x*ln(x)-8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 \ln \left(x \right)-3 \ln \left(\ln \left(x \right)-8\right)-{\mathrm e}^{x}$&$17$\\ norman&$-4 \ln \left(x \right)-3 \ln \left(\ln \left(x \right)-8\right)-{\mathrm e}^{x}$&$17$\\ risch&$-4 \ln \left(x \right)-3 \ln \left(\ln \left(x \right)-8\right)-{\mathrm e}^{x}$&$17$\\ \hline \end{longtable}"," ",0,"-4*ln(x)-3*ln(ln(x)-8)-exp(x)","A"
1430,1,44,24,0.061000," ","int((48*x^5-80*x^4-432*x^3+348*x^2+841*x)*exp(20)^2/(128*exp(20)^2-128*exp(20)+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{2} \left(16 x^{4}-32 x^{3}-216 x^{2}+232 x +841\right) {\mathrm e}^{40}}{256 \,{\mathrm e}^{40}-256 \,{\mathrm e}^{20}+64}$&$44$\\ default&$\frac{{\mathrm e}^{40} \left(8 x^{6}-16 x^{5}-108 x^{4}+116 x^{3}+\frac{841}{2} x^{2}\right)}{128 \,{\mathrm e}^{40}-128 \,{\mathrm e}^{20}+32}$&$46$\\ norman&$\frac{\frac{841 \,{\mathrm e}^{40} x^{2}}{64 \left(2 \,{\mathrm e}^{20}-1\right)}+\frac{29 \,{\mathrm e}^{40} x^{3}}{8 \left(2 \,{\mathrm e}^{20}-1\right)}-\frac{27 \,{\mathrm e}^{40} x^{4}}{8 \left(2 \,{\mathrm e}^{20}-1\right)}-\frac{{\mathrm e}^{40} x^{5}}{2 \left(2 \,{\mathrm e}^{20}-1\right)}+\frac{{\mathrm e}^{40} x^{6}}{8 \,{\mathrm e}^{20}-4}}{2 \,{\mathrm e}^{20}-1}$&$96$\\ risch&$\frac{8 \,{\mathrm e}^{40} x^{6}}{128 \,{\mathrm e}^{40}-128 \,{\mathrm e}^{20}+32}-\frac{16 \,{\mathrm e}^{40} x^{5}}{128 \,{\mathrm e}^{40}-128 \,{\mathrm e}^{20}+32}-\frac{108 \,{\mathrm e}^{40} x^{4}}{128 \,{\mathrm e}^{40}-128 \,{\mathrm e}^{20}+32}+\frac{116 \,{\mathrm e}^{40} x^{3}}{128 \,{\mathrm e}^{40}-128 \,{\mathrm e}^{20}+32}+\frac{841 \,{\mathrm e}^{40} x^{2}}{2 \left(128 \,{\mathrm e}^{40}-128 \,{\mathrm e}^{20}+32\right)}$&$97$\\ \hline \end{longtable}"," ",0,"1/64*x^2*(16*x^4-32*x^3-216*x^2+232*x+841)*exp(20)^2/(4*exp(20)^2-4*exp(20)+1)","A"
1431,1,29,25,0.209000," ","int((x^2*exp((x*ln(5)-3*x+1)/x)^2+(2*exp(x)*x^2+2*exp(3)-2*x^3-6*x^2)*exp((x*ln(5)-3*x+1)/x)+exp(x)^2*x^2+(-2*x^2*exp(3)-2*x^3-6*x^2)*exp(x)+2*x^2*exp(3)+x^4+6*x^3+9*x^2)/(x^2*exp((x*ln(5)-3*x+1)/x)^2+(2*exp(x)*x^2-2*x^3-6*x^2)*exp((x*ln(5)-3*x+1)/x)+exp(x)^2*x^2+(-2*x^3-6*x^2)*exp(x)+x^4+6*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{2 \,{\mathrm e}^{3}}{x -{\mathrm e}^{x}-5 \,{\mathrm e}^{-\frac{3 x -1}{x}}+3}$&$29$\\ \hline \end{longtable}"," ",0,"x-2*exp(3)/(x-exp(x)-5*exp(-(3*x-1)/x)+3)","A"
1432,1,43,29,0.174000," ","int(((144*x^4-1584*x^3+8631*x^2-21060*x-1350)*exp(16*x)-x^4+12*x^3-96*x^2+360*x-900)*exp(((9*x^2-45*x)*exp(16*x)-x^3+7*x^2-36*x+30)/(x^2-6*x+30))/(x^4-12*x^3+96*x^2-360*x+900),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-9 \,{\mathrm e}^{16 x} x^{2}+x^{3}+45 \,{\mathrm e}^{16 x} x -7 x^{2}+36 x -30}{x^{2}-6 x +30}}$&$43$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{\left(9 x^{2}-45 x \right) {\mathrm e}^{16 x}-x^{3}+7 x^{2}-36 x +30}{x^{2}-6 x +30}}-6 x \,{\mathrm e}^{\frac{\left(9 x^{2}-45 x \right) {\mathrm e}^{16 x}-x^{3}+7 x^{2}-36 x +30}{x^{2}-6 x +30}}+30 \,{\mathrm e}^{\frac{\left(9 x^{2}-45 x \right) {\mathrm e}^{16 x}-x^{3}+7 x^{2}-36 x +30}{x^{2}-6 x +30}}}{x^{2}-6 x +30}$&$145$\\ \hline \end{longtable}"," ",0,"exp(-(-9*exp(16*x)*x^2+x^3+45*exp(16*x)*x-7*x^2+36*x-30)/(x^2-6*x+30))","A"
1433,1,18,16,0.068000," ","int((-50*x^2*ln(2)^2-20*x*ln(2)+1)*exp(ln(x)-25*x^2*ln(2)^2-20*x*ln(2)-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \left(\frac{1}{1048576}\right)^{x} {\mathrm e}^{-1-25 x^{2} \ln \left(2\right)^{2}}$&$18$\\ gosper&${\mathrm e}^{\ln \left(x \right)-25 x^{2} \ln \left(2\right)^{2}-20 x \ln \left(2\right)-1}$&$20$\\ norman&${\mathrm e}^{\ln \left(x \right)-25 x^{2} \ln \left(2\right)^{2}-20 x \ln \left(2\right)-1}$&$20$\\ \hline \end{longtable}"," ",0,"x*(1/1048576)^x*exp(-1-25*x^2*ln(2)^2)","A"
1434,1,42,42,0.033000," ","int((4608*x^3*ln(2)^2-4608*x^3*ln(2)+1152*x^3)*ln(5)+663552*x^7*ln(2)^4-1327104*x^7*ln(2)^3+995328*x^7*ln(2)^2-331776*x^7*ln(2)+41472*x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$288 \left(4 \ln \left(2\right)^{2}-4 \ln \left(2\right)+1\right) \left(72 x^{4} \ln \left(2\right)^{2}-72 x^{4} \ln \left(2\right)+18 x^{4}+\ln \left(5\right)\right) x^{4}$&$42$\\ norman&$\left(1152 \ln \left(2\right)^{2} \ln \left(5\right)-1152 \ln \left(2\right) \ln \left(5\right)+288 \ln \left(5\right)\right) x^{4}+\left(82944 \ln \left(2\right)^{4}-165888 \ln \left(2\right)^{3}+124416 \ln \left(2\right)^{2}-41472 \ln \left(2\right)+5184\right) x^{8}$&$53$\\ default&$\ln \left(5\right) \left(1152 x^{4} \ln \left(2\right)^{2}-1152 x^{4} \ln \left(2\right)+288 x^{4}\right)+82944 x^{8} \ln \left(2\right)^{4}-165888 x^{8} \ln \left(2\right)^{3}+124416 x^{8} \ln \left(2\right)^{2}-41472 x^{8} \ln \left(2\right)+5184 x^{8}$&$66$\\ risch&$82944 x^{8} \ln \left(2\right)^{4}-165888 x^{8} \ln \left(2\right)^{3}+124416 x^{8} \ln \left(2\right)^{2}-41472 x^{8} \ln \left(2\right)+5184 x^{8}+1152 x^{4} \ln \left(5\right) \ln \left(2\right)^{2}-1152 x^{4} \ln \left(5\right) \ln \left(2\right)+288 x^{4} \ln \left(5\right)$&$68$\\ \hline \end{longtable}"," ",0,"288*(4*ln(2)^2-4*ln(2)+1)*(72*x^4*ln(2)^2-72*x^4*ln(2)+18*x^4+ln(5))*x^4","A"
1435,1,9,10,0.025000," ","int(1/4*(12*x^2+1)*exp(x^3+1/4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{x^{3}+\frac{1}{4} x}$&$9$\\ norman&${\mathrm e}^{x^{3}+\frac{1}{4} x}$&$9$\\ risch&${\mathrm e}^{\frac{x \left(4 x^{2}+1\right)}{4}}$&$12$\\ \hline \end{longtable}"," ",0,"exp(x^3+1/4*x)","A"
1436,1,28,26,0.035000," ","int((((3*x^2+2)*exp(x)+(3*x^2+2)*ln(5)^2-3*x^3+12*x^2-2*x+8)*ln(exp(x)+ln(5)^2-x+4)^2+((10*x+25)*exp(x)+(10*x+25)*ln(5)^2-10*x^2+15*x+100)*ln(exp(x)+ln(5)^2-x+4)+(-5*x^2-25*x)*exp(x)+5*x^2+25*x)/(exp(x)+ln(5)^2-x+4)/ln(exp(x)+ln(5)^2-x+4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+2 x +\frac{5 \left(5+x \right) x}{\ln \left({\mathrm e}^{x}+\ln \left(5\right)^{2}-x +4\right)}$&$28$\\ \hline \end{longtable}"," ",0,"x^3+2*x+5*(5+x)*x/ln(exp(x)+ln(5)^2-x+4)","A"
1437,1,11,20,0.019000," ","int((-4*x-4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 \ln \left(x \right)+\frac{4}{x}$&$11$\\ norman&$-4 \ln \left(x \right)+\frac{4}{x}$&$11$\\ risch&$-4 \ln \left(x \right)+\frac{4}{x}$&$11$\\ \hline \end{longtable}"," ",0,"-4*ln(x)+4/x","A"
1438,1,30,27,0.043000," ","int(((-3*x^3+6*x^2-1)*ln(x)+(1-2*x)*exp(-x^3+3*x^2)+3*x^2-6*x-1)/exp(-x^3+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\left(-x \ln \left(x \right)+1\right) {\mathrm e}^{x^{3}-3 x^{2}}-x^{2}$&$30$\\ risch&$-x \,{\mathrm e}^{x^{2} \left(x -3\right)} \ln \left(x \right)-\left(x^{2} {\mathrm e}^{-x^{2} \left(x -3\right)}-x \,{\mathrm e}^{-x^{2} \left(x -3\right)}-1\right) {\mathrm e}^{x^{2} \left(x -3\right)}$&$52$\\ norman&$\left(1+x \,{\mathrm e}^{-x^{3}+3 x^{2}}-x \ln \left(x \right)-x^{2} {\mathrm e}^{-x^{3}+3 x^{2}}\right) {\mathrm e}^{x^{3}-3 x^{2}}$&$54$\\ \hline \end{longtable}"," ",0,"x+(-x*ln(x)+1)/exp(-x^3+3*x^2)-x^2","A"
1439,1,14,27,0.645000," ","int((300*x+2)/(exp(625)+75*x^2+x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left({\mathrm e}^{625}+75 x^{2}+x -5\right)$&$14$\\ norman&$2 \ln \left({\mathrm e}^{625}+75 x^{2}+x -5\right)$&$14$\\ risch&$2 \ln \left({\mathrm e}^{625}+75 x^{2}+x -5\right)$&$14$\\ \hline \end{longtable}"," ",0,"2*ln(exp(625)+75*x^2+x-5)","A"
1440,1,23,26,0.119000," ","int(((-8*x-4)*exp(1/2*(4*x^2+4*x)/ln(2))+2*ln(2))/(4*ln(2)*exp(1/2*(4*x^2+4*x)/ln(2))+2*(-2*ln(2)-2*x)*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left({\mathrm e}^{\frac{2 \left(x +1\right) x}{\ln \left(2\right)}}-\ln \left(2\right)-x \right)}{2}$&$23$\\ norman&$-\frac{\ln \left(-{\mathrm e}^{\frac{4 x^{2}+4 x}{2 \ln \left(2\right)}}+\ln \left(2\right)+x \right)}{2}$&$26$\\ \hline \end{longtable}"," ",0,"-1/2*ln(exp(2*(x+1)*x/ln(2))-ln(2)-x)","A"
1441,1,29,26,0.036000," ","int((-4*x^5-99*x^4-616*x^3-26*x^2-192*x-288)/(4*x^5+99*x^4+613*x^3+24*x^2+144*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\ln \left(x +12\right)-2 \ln \left(x \right)+\ln \left(4 x^{3}+51 x^{2}+x +12\right)$&$29$\\ norman&$-x -\ln \left(x +12\right)-2 \ln \left(x \right)+\ln \left(4 x^{3}+51 x^{2}+x +12\right)$&$29$\\ risch&$-x -\ln \left(x +12\right)-2 \ln \left(x \right)+\ln \left(4 x^{3}+51 x^{2}+x +12\right)$&$29$\\ \hline \end{longtable}"," ",0,"-x-ln(x+12)-2*ln(x)+ln(4*x^3+51*x^2+x+12)","A"
1442,1,43,23,0.148000," ","int(1/4*((-2*exp(-x+4)+10)*exp(5*x+5)^2*exp(exp(-x+4))^2+(-4*x*ln(2)*exp(-x+4)+2*(10*x+2)*ln(2))*exp(5*x+5)*exp(exp(-x+4))+8*x*ln(2)^2)/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{{\mathrm e}^{10 x +10+2 \,{\mathrm e}^{-x +4}}}{4 \ln \left(2\right)^{2}}+\frac{x \,{\mathrm e}^{5+{\mathrm e}^{-x +4}+5 x}}{\ln \left(2\right)}$&$43$\\ default&$\frac{4 \ln \left(2\right) {\mathrm e}^{25} x \,{\mathrm e}^{{\mathrm e}^{-x +4}} {\mathrm e}^{5 x -20}-10 \,{\mathrm e}^{10} {\mathrm e}^{40} \left(-\frac{{\mathrm e}^{10 x} {\mathrm e}^{-40} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{10}-\frac{{\mathrm e}^{9 x} {\mathrm e}^{-36} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{45}-\frac{{\mathrm e}^{8 x} {\mathrm e}^{-32} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{180}-\frac{{\mathrm e}^{7 x} {\mathrm e}^{-28} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{630}-\frac{{\mathrm e}^{6 x} {\mathrm e}^{-24} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{1890}-\frac{{\mathrm e}^{5 x} {\mathrm e}^{-20} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{4725}-\frac{{\mathrm e}^{4 x} {\mathrm e}^{-16} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{9450}-\frac{{\mathrm e}^{3 x} {\mathrm e}^{-12} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{14175}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{-x +4}} {\mathrm e}^{2 x} {\mathrm e}^{-8}}{14175}-\frac{2 \,{\mathrm e}^{x} {\mathrm e}^{-4} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{14175}-\frac{4 \expIntegralEi \left(1, -2 \,{\mathrm e}^{-x} {\mathrm e}^{4}\right)}{14175}\right)+2 \,{\mathrm e}^{10} {\mathrm e}^{40} \left(-\frac{{\mathrm e}^{9 x} {\mathrm e}^{-36} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{9}-\frac{{\mathrm e}^{8 x} {\mathrm e}^{-32} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{36}-\frac{{\mathrm e}^{7 x} {\mathrm e}^{-28} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{126}-\frac{{\mathrm e}^{6 x} {\mathrm e}^{-24} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{378}-\frac{{\mathrm e}^{5 x} {\mathrm e}^{-20} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{945}-\frac{{\mathrm e}^{4 x} {\mathrm e}^{-16} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{1890}-\frac{{\mathrm e}^{3 x} {\mathrm e}^{-12} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{2835}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{-x +4}} {\mathrm e}^{2 x} {\mathrm e}^{-8}}{2835}-\frac{2 \,{\mathrm e}^{x} {\mathrm e}^{-4} {\mathrm e}^{2 \,{\mathrm e}^{-x +4}}}{2835}-\frac{4 \expIntegralEi \left(1, -2 \,{\mathrm e}^{-x} {\mathrm e}^{4}\right)}{2835}\right)+4 x^{2} \ln \left(2\right)^{2}}{4 \ln \left(2\right)^{2}}$&$461$\\ \hline \end{longtable}"," ",0,"x^2+1/4/ln(2)^2*exp(10*x+10+2*exp(-x+4))+x/ln(2)*exp(5+exp(-x+4)+5*x)","A"
1443,1,18,23,0.249000," ","int((((-2*x-8)*ln(4+x)+x)*ln(2*x)-48*x^3-192*x^2)/(144*x^4+576*x^3)/ln(2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(4+x \right)}{144 x^{2}}-\frac{\ln \left(\ln \left(2 x \right)\right)}{3}$&$18$\\ default&$\frac{-\frac{1}{4}-\frac{x \ln \left(x \right)}{16}}{144 x}+\frac{\ln \left(4+x \right)}{2304}-\frac{\ln \left(\ln \left(2\right)+\ln \left(x \right)\right)}{3}+\frac{1}{576 x}+\frac{\ln \left(x \right)}{2304}-\frac{\ln \left(4+x \right) \left(4+x \right) \left(x -4\right)}{2304 x^{2}}$&$52$\\ \hline \end{longtable}"," ",0,"1/144*ln(4+x)/x^2-1/3*ln(ln(2*x))","A"
1444,1,25,26,0.819000," ","int(((-2*exp(1)*ln(3/x)-4*exp(1))*ln(x)-x*exp(1)*ln(3/x)+(1-2*x)*exp(1))*exp(exp(1)/(ln(3/x)+2)/exp(ln(x)^2+4+x))/(x*ln(3/x)^2+4*x*ln(3/x)+4*x)/exp(ln(x)^2+4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{-3-\ln \left(x \right)^{2}-x}}{\ln \left(3\right)-\ln \left(x \right)+2}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(1/(ln(3)-ln(x)+2)*exp(-3-ln(x)^2-x))","A"
1445,1,19,24,0.052000," ","int(1/4205*((4*x^2+x)*exp(x)^4-4205*x-4205)*exp(1/4205*x*exp(x)^4-x)/x^2/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{x \left({\mathrm e}^{4 x}-4205\right)}{4205}}}{\ln \left(5\right) x}$&$19$\\ \hline \end{longtable}"," ",0,"1/ln(5)/x*exp(1/4205*x*(exp(4*x)-4205))","A"
1446,1,24,24,0.064000," ","int(((-8*x^3+6*x^2+32*x)*exp(2*x^4-2*x^3-16*x^2+2/5)+1)*exp(-exp(2*x^4-2*x^3-16*x^2+2/5)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-{\mathrm e}^{2 x^{4}-2 x^{3}-16 x^{2}+\frac{2}{5}}+x}$&$24$\\ risch&${\mathrm e}^{-{\mathrm e}^{2 x^{4}-2 x^{3}-16 x^{2}+\frac{2}{5}}+x}$&$24$\\ \hline \end{longtable}"," ",0,"exp(-exp(2*x^4-2*x^3-16*x^2+2/5)+x)","A"
1447,1,12,11,0.029000," ","int((4*x^3-3*x^2-30*x)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{2} \left(4 x -15\right) {\mathrm e}^{x}$&$12$\\ risch&$\left(4 x^{3}-15 x^{2}\right) {\mathrm e}^{x}$&$15$\\ default&$-15 \,{\mathrm e}^{x} x^{2}+4 \,{\mathrm e}^{x} x^{3}$&$16$\\ norman&$-15 \,{\mathrm e}^{x} x^{2}+4 \,{\mathrm e}^{x} x^{3}$&$16$\\ meijerg&$-\left(-4 x^{3}+12 x^{2}-24 x +24\right) {\mathrm e}^{x}-\left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}+15 \left(-2 x +2\right) {\mathrm e}^{x}$&$44$\\ \hline \end{longtable}"," ",0,"x^2*(4*x-15)*exp(x)","A"
1448,1,353,24,0.279000," ","int((((2*exp(x)^4+8*x*exp(x)^2+8*x^2)*exp(x^2)+(2*x+4)*exp(x)^4+(8*x^2+14*x)*exp(x)^2+8*x^3+12*x^2)*ln(((exp(x)^2+2*x)*exp(x^2)+(2+x)*exp(x)^2+2*x^2+3*x)/(exp(x)^2+2*x))+(4*x^2*exp(x)^4+16*exp(x)^2*x^3+16*x^4)*exp(x^2)+2*x*exp(x)^4+(12*x^2-2*x)*exp(x)^2+8*x^3)/((5*exp(x)^4+20*x*exp(x)^2+20*x^2)*exp(x^2)+(5*x+10)*exp(x)^4+(20*x^2+35*x)*exp(x)^2+20*x^3+30*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x \ln \left(x^{2}+\left(\frac{{\mathrm e}^{2 x}}{2}+{\mathrm e}^{x^{2}}+\frac{3}{2}\right) x +\left(\frac{{\mathrm e}^{x^{2}}}{2}+1\right) {\mathrm e}^{2 x}\right)}{5}-\frac{2 x \ln \left(\frac{{\mathrm e}^{2 x}}{2}+x \right)}{5}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{\frac{{\mathrm e}^{2 x}}{2}+x}\right) \mathrm{csgn}\left(i \left(x^{2}+\left(\frac{{\mathrm e}^{2 x}}{2}+{\mathrm e}^{x^{2}}+\frac{3}{2}\right) x +\left(\frac{{\mathrm e}^{x^{2}}}{2}+1\right) {\mathrm e}^{2 x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\frac{{\mathrm e}^{2 x}}{2}+{\mathrm e}^{x^{2}}+\frac{3}{2}\right) x +\left(\frac{{\mathrm e}^{x^{2}}}{2}+1\right) {\mathrm e}^{2 x}\right)}{\frac{{\mathrm e}^{2 x}}{2}+x}\right)}{5}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{\frac{{\mathrm e}^{2 x}}{2}+x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\frac{{\mathrm e}^{2 x}}{2}+{\mathrm e}^{x^{2}}+\frac{3}{2}\right) x +\left(\frac{{\mathrm e}^{x^{2}}}{2}+1\right) {\mathrm e}^{2 x}\right)}{\frac{{\mathrm e}^{2 x}}{2}+x}\right)^{2}}{5}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x^{2}+\left(\frac{{\mathrm e}^{2 x}}{2}+{\mathrm e}^{x^{2}}+\frac{3}{2}\right) x +\left(\frac{{\mathrm e}^{x^{2}}}{2}+1\right) {\mathrm e}^{2 x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\frac{{\mathrm e}^{2 x}}{2}+{\mathrm e}^{x^{2}}+\frac{3}{2}\right) x +\left(\frac{{\mathrm e}^{x^{2}}}{2}+1\right) {\mathrm e}^{2 x}\right)}{\frac{{\mathrm e}^{2 x}}{2}+x}\right)^{2}}{5}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\frac{{\mathrm e}^{2 x}}{2}+{\mathrm e}^{x^{2}}+\frac{3}{2}\right) x +\left(\frac{{\mathrm e}^{x^{2}}}{2}+1\right) {\mathrm e}^{2 x}\right)}{\frac{{\mathrm e}^{2 x}}{2}+x}\right)^{3}}{5}$&$353$\\ \hline \end{longtable}"," ",0,"2/5*x*ln(x^2+(1/2*exp(2*x)+exp(x^2)+3/2)*x+(1/2*exp(x^2)+1)*exp(2*x))-2/5*x*ln(1/2*exp(2*x)+x)-1/5*I*Pi*x*csgn(I/(1/2*exp(2*x)+x))*csgn(I*(x^2+(1/2*exp(2*x)+exp(x^2)+3/2)*x+(1/2*exp(x^2)+1)*exp(2*x)))*csgn(I/(1/2*exp(2*x)+x)*(x^2+(1/2*exp(2*x)+exp(x^2)+3/2)*x+(1/2*exp(x^2)+1)*exp(2*x)))+1/5*I*Pi*x*csgn(I/(1/2*exp(2*x)+x))*csgn(I/(1/2*exp(2*x)+x)*(x^2+(1/2*exp(2*x)+exp(x^2)+3/2)*x+(1/2*exp(x^2)+1)*exp(2*x)))^2+1/5*I*Pi*x*csgn(I*(x^2+(1/2*exp(2*x)+exp(x^2)+3/2)*x+(1/2*exp(x^2)+1)*exp(2*x)))*csgn(I/(1/2*exp(2*x)+x)*(x^2+(1/2*exp(2*x)+exp(x^2)+3/2)*x+(1/2*exp(x^2)+1)*exp(2*x)))^2-1/5*I*Pi*x*csgn(I/(1/2*exp(2*x)+x)*(x^2+(1/2*exp(2*x)+exp(x^2)+3/2)*x+(1/2*exp(x^2)+1)*exp(2*x)))^3","C"
1449,1,22,22,0.039000," ","int(1/4*(2*x^2*ln(x)-2*x^4-18*x^3-4*x^2+9*x-1)/exp(x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{3}{4}+\frac{9 x}{4}+\frac{x^{2}}{4}-\frac{\ln \left(x \right)}{4}\right) {\mathrm e}^{-x^{2}}$&$22$\\ risch&$-\frac{{\mathrm e}^{-x^{2}} \ln \left(x \right)}{4}+\frac{\left(x^{2}+9 x +3\right) {\mathrm e}^{-x^{2}}}{4}$&$28$\\ \hline \end{longtable}"," ",0,"(3/4+9/4*x+1/4*x^2-1/4*ln(x))/exp(x^2)","A"
1450,1,18,20,0.250000," ","int((-2*x*exp(1)-1)*exp((-exp(4)^2*ln((x^2*exp(1)+x)*exp(2))+1)/exp(4)^2)/(x^2*exp(1)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-2+{\mathrm e}^{-8}}}{x \left(x \,{\mathrm e}+1\right)}$&$18$\\ norman&$\frac{{\mathrm e}^{{\mathrm e}^{-8}} {\mathrm e}^{-2}}{x \left(x \,{\mathrm e}+1\right)}$&$22$\\ default&${\mathrm e}^{-2+{\mathrm e}^{-8}} \left(\frac{1}{x}-\frac{{\mathrm e}}{x \,{\mathrm e}+1}\right)$&$23$\\ gosper&${\mathrm e}^{-\left({\mathrm e}^{8} \ln \left(x \left(x \,{\mathrm e}+1\right) {\mathrm e}^{2}\right)-1\right) {\mathrm e}^{-8}}$&$26$\\ \hline \end{longtable}"," ",0,"1/x/(x*exp(1)+1)*exp(-2+exp(-8))","A"
1451,1,69,24,0.079000," ","int(1/5*((-56*x-40)*exp(-7/5*x+2)^2*ln(x^2)-80*exp(-7/5*x+2)^2)/x^3/ln(x^2)^3/ln(ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{16 \,{\mathrm e}^{-\frac{14 x}{5}+4}}{\ln \left(\ln \left(5\right)\right) x^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)^{2}}$&$69$\\ \hline \end{longtable}"," ",0,"-16/ln(ln(5))*exp(-14/5*x+4)/x^2/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x))^2","C"
1452,1,15,22,0.021000," ","int(exp(exp(5)+4+x)-exp(x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{x}-x +{\mathrm e}^{{\mathrm e}^{5}+4+x}$&$15$\\ risch&$-{\mathrm e}^{x}-x +{\mathrm e}^{{\mathrm e}^{5}+4+x}$&$15$\\ norman&$\left({\mathrm e}^{4} {\mathrm e}^{{\mathrm e}^{5}}-1\right) {\mathrm e}^{x}-x$&$16$\\ \hline \end{longtable}"," ",0,"-exp(x)-x+exp(exp(5)+4+x)","A"
1453,1,27,31,0.079000," ","int(((12*x^2*ln(5)-60*x^2)*ln(x^2)^2+(-72*x*ln(5)+360*x)*ln(x^2)+108*ln(5)+24*x^3+36*x^2-540)/(x^4*ln(x^2)^2-6*x^3*ln(x^2)+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{60}{x}-\frac{12 \ln \left(5\right)}{x}-\frac{12 x}{x \ln \left(x^{2}\right)-3}$&$27$\\ default&$-\frac{12 \ln \left(5\right)}{x}+\frac{-180+60 x \ln \left(x^{2}\right)-12 x^{2}}{x \left(x \ln \left(x^{2}\right)-3\right)}$&$37$\\ norman&$\frac{\left(60-12 \ln \left(5\right)\right) x \ln \left(x^{2}\right)-12 x^{2}-180+36 \ln \left(5\right)}{x \left(x \ln \left(x^{2}\right)-3\right)}$&$38$\\ \hline \end{longtable}"," ",0,"60/x-12*ln(5)/x-12*x/(x*ln(x^2)-3)","A"
1454,1,17,16,0.048000," ","int(1/128*((-x^2+2*x)*exp(exp(2))^2*ln(x)+x*exp(exp(2))^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{2}} {\mathrm e}^{-x} x^{2} \ln \left(x \right)}{128}$&$17$\\ risch&$\frac{x^{2} \ln \left(x \right) {\mathrm e}^{2 \,{\mathrm e}^{2}-x}}{128}$&$17$\\ \hline \end{longtable}"," ",0,"1/128*exp(exp(2))^2/exp(x)*x^2*ln(x)","A"
1455,1,101,22,0.238000," ","int((((18*x+45)*ln(x)^2+(96*x^2+240*x)*ln(x))*ln((3*ln(x)+16*x)/ln(x))*ln(2*ln((3*ln(x)+16*x)/ln(x)))+(48*x^2+240*x)*ln(x)-48*x^2-240*x)/(3*ln(x)^2+16*x*ln(x))/ln((3*ln(x)+16*x)/ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(3 x^{2}+15 x \right) \ln \left(8 \ln \left(2\right)-2 \ln \left(\ln \left(x \right)\right)+2 \ln \left(\frac{3 \ln \left(x \right)}{16}+x \right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left(\frac{3 \ln \left(x \right)}{16}+x \right)}{\ln \left(x \right)}\right) \left(-\mathrm{csgn}\left(\frac{i \left(\frac{3 \ln \left(x \right)}{16}+x \right)}{\ln \left(x \right)}\right)+\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(\frac{3 \ln \left(x \right)}{16}+x \right)}{\ln \left(x \right)}\right)+\mathrm{csgn}\left(i \left(\frac{3 \ln \left(x \right)}{16}+x \right)\right)\right)\right)$&$101$\\ \hline \end{longtable}"," ",0,"(3*x^2+15*x)*ln(8*ln(2)-2*ln(ln(x))+2*ln(3/16*ln(x)+x)-I*Pi*csgn(I/ln(x)*(3/16*ln(x)+x))*(-csgn(I/ln(x)*(3/16*ln(x)+x))+csgn(I/ln(x)))*(-csgn(I/ln(x)*(3/16*ln(x)+x))+csgn(I*(3/16*ln(x)+x))))","C"
1456,1,338,29,47.452000," ","int(((-20*ln(x)^2+(-44*x-200)*ln(x)-24*x^2-220*x-500)*ln((5*ln(x)+6*x+25)/(5+ln(x)+x))^2+((5*ln(3)-5)*ln(x)^2+((11*x+50)*ln(3)-11*x-50)*ln(x)+(6*x^2+55*x+125)*ln(3)-6*x^2-55*x-125)*ln((5*ln(x)+6*x+25)/(5+ln(x)+x))+(-x*ln(3)+x)*ln(x)-4*x*ln(3)+4*x)*exp(1/4*(-4*x*ln((5*ln(x)+6*x+25)/(5+ln(x)+x))+x*ln(3)-x)/ln((5*ln(x)+6*x+25)/(5+ln(x)+x)))/(20*ln(x)^2+(44*x+200)*ln(x)+24*x^2+220*x+500)/ln((5*ln(x)+6*x+25)/(5+ln(x)+x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x \left(-2 i \mathrm{csgn}\left(\frac{i \left(\frac{5 \ln \left(x \right)}{6}+x +\frac{25}{6}\right)}{5+\ln \left(x \right)+x}\right)^{3} \pi +2 i \mathrm{csgn}\left(\frac{i \left(\frac{5 \ln \left(x \right)}{6}+x +\frac{25}{6}\right)}{5+\ln \left(x \right)+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{5+\ln \left(x \right)+x}\right) \pi +2 i \mathrm{csgn}\left(\frac{i \left(\frac{5 \ln \left(x \right)}{6}+x +\frac{25}{6}\right)}{5+\ln \left(x \right)+x}\right)^{2} \mathrm{csgn}\left(i \left(\frac{5 \ln \left(x \right)}{6}+x +\frac{25}{6}\right)\right) \pi -2 i \mathrm{csgn}\left(\frac{i \left(\frac{5 \ln \left(x \right)}{6}+x +\frac{25}{6}\right)}{5+\ln \left(x \right)+x}\right) \mathrm{csgn}\left(\frac{i}{5+\ln \left(x \right)+x}\right) \mathrm{csgn}\left(i \left(\frac{5 \ln \left(x \right)}{6}+x +\frac{25}{6}\right)\right) \pi +4 \ln \left(2\right)+3 \ln \left(3\right)-4 \ln \left(5+\ln \left(x \right)+x \right)+4 \ln \left(\frac{5 \ln \left(x \right)}{6}+x +\frac{25}{6}\right)+1\right)}{2 \left(-i \mathrm{csgn}\left(\frac{i \left(\frac{5 \ln \left(x \right)}{6}+x +\frac{25}{6}\right)}{5+\ln \left(x \right)+x}\right)^{3} \pi +i \mathrm{csgn}\left(\frac{i \left(\frac{5 \ln \left(x \right)}{6}+x +\frac{25}{6}\right)}{5+\ln \left(x \right)+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{5+\ln \left(x \right)+x}\right) \pi +i \mathrm{csgn}\left(\frac{i \left(\frac{5 \ln \left(x \right)}{6}+x +\frac{25}{6}\right)}{5+\ln \left(x \right)+x}\right)^{2} \mathrm{csgn}\left(i \left(\frac{5 \ln \left(x \right)}{6}+x +\frac{25}{6}\right)\right) \pi -i \mathrm{csgn}\left(\frac{i \left(\frac{5 \ln \left(x \right)}{6}+x +\frac{25}{6}\right)}{5+\ln \left(x \right)+x}\right) \mathrm{csgn}\left(\frac{i}{5+\ln \left(x \right)+x}\right) \mathrm{csgn}\left(i \left(\frac{5 \ln \left(x \right)}{6}+x +\frac{25}{6}\right)\right) \pi +2 \ln \left(2\right)+2 \ln \left(3\right)-2 \ln \left(5+\ln \left(x \right)+x \right)+2 \ln \left(\frac{5 \ln \left(x \right)}{6}+x +\frac{25}{6}\right)\right)}}$&$338$\\ \hline \end{longtable}"," ",0,"exp(-1/2*x*(-2*I*csgn(I/(5+ln(x)+x)*(5/6*ln(x)+x+25/6))^3*Pi+2*I*csgn(I/(5+ln(x)+x)*(5/6*ln(x)+x+25/6))^2*csgn(I/(5+ln(x)+x))*Pi+2*I*csgn(I/(5+ln(x)+x)*(5/6*ln(x)+x+25/6))^2*csgn(I*(5/6*ln(x)+x+25/6))*Pi-2*I*csgn(I/(5+ln(x)+x)*(5/6*ln(x)+x+25/6))*csgn(I/(5+ln(x)+x))*csgn(I*(5/6*ln(x)+x+25/6))*Pi+4*ln(2)+3*ln(3)-4*ln(5+ln(x)+x)+4*ln(5/6*ln(x)+x+25/6)+1)/(-I*csgn(I/(5+ln(x)+x)*(5/6*ln(x)+x+25/6))^3*Pi+I*csgn(I/(5+ln(x)+x)*(5/6*ln(x)+x+25/6))^2*csgn(I/(5+ln(x)+x))*Pi+I*csgn(I/(5+ln(x)+x)*(5/6*ln(x)+x+25/6))^2*csgn(I*(5/6*ln(x)+x+25/6))*Pi-I*csgn(I/(5+ln(x)+x)*(5/6*ln(x)+x+25/6))*csgn(I/(5+ln(x)+x))*csgn(I*(5/6*ln(x)+x+25/6))*Pi+2*ln(2)+2*ln(3)-2*ln(5+ln(x)+x)+2*ln(5/6*ln(x)+x+25/6)))","C"
1457,1,34,21,0.069000," ","int(((27*x^2+90*x+75)*exp(x)+6*x^3+16*x^2)/((144*x^4+453*x^3+310*x^2-75*x)*exp(x)-6*x^3-10*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\ln \left(16 x -3\right)-x +\ln \left({\mathrm e}^{x}-\frac{2 x}{48 x^{2}+71 x -15}\right)$&$34$\\ norman&$-x -\ln \left(x \right)-\ln \left(3 x +5\right)+\ln \left(48 \,{\mathrm e}^{x} x^{2}+71 \,{\mathrm e}^{x} x -2 x -15 \,{\mathrm e}^{x}\right)$&$38$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(16*x-3)-x+ln(exp(x)-2*x/(48*x^2+71*x-15))","A"
1458,1,23,10,0.041000," ","int((2*exp(3)+2*x+44)*exp(exp(3)^2+(2*x+44)*exp(3)+x^2+44*x+484)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{2 x \,{\mathrm e}^{3}+x^{2}+44 \,{\mathrm e}^{3}+{\mathrm e}^{6}+44 x +484}$&$23$\\ norman&$x +{\mathrm e}^{{\mathrm e}^{6}+\left(2 x +44\right) {\mathrm e}^{3}+x^{2}+44 x +484}$&$24$\\ default&$x +{\mathrm e}^{x^{2}+\left(2 \,{\mathrm e}^{3}+44\right) x +44 \,{\mathrm e}^{3}+{\mathrm e}^{6}+484}+\frac{i \left(2 \,{\mathrm e}^{3}+44\right) \sqrt{\pi}\, {\mathrm e}^{44 \,{\mathrm e}^{3}+{\mathrm e}^{6}+484-\frac{\left(2 \,{\mathrm e}^{3}+44\right)^{2}}{4}} \erf \left(i x +\frac{i \left(2 \,{\mathrm e}^{3}+44\right)}{2}\right)}{2}-i \sqrt{\pi}\, {\mathrm e}^{44 \,{\mathrm e}^{3}+{\mathrm e}^{6}+487-\frac{\left(2 \,{\mathrm e}^{3}+44\right)^{2}}{4}} \erf \left(i x +\frac{i \left(2 \,{\mathrm e}^{3}+44\right)}{2}\right)-22 i \sqrt{\pi}\, {\mathrm e}^{44 \,{\mathrm e}^{3}+{\mathrm e}^{6}+484-\frac{\left(2 \,{\mathrm e}^{3}+44\right)^{2}}{4}} \erf \left(i x +\frac{i \left(2 \,{\mathrm e}^{3}+44\right)}{2}\right)$&$149$\\ \hline \end{longtable}"," ",0,"x+exp(2*x*exp(3)+x^2+44*exp(3)+exp(6)+44*x+484)","B"
1459,1,27,24,0.029000," ","int((6*x^2*exp(x)^2*exp(3*x)^2+exp(x)^2+(-18*x^3+18*x^2)*exp(x)-162*x^4+162*x^3)/exp(x)^2/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{1}{x}+{\mathrm e}^{6 x}+18 x \,{\mathrm e}^{-x}+81 x^{2} {\mathrm e}^{-2 x}$&$27$\\ risch&$-\frac{1}{x}+{\mathrm e}^{6 x}+18 x \,{\mathrm e}^{-x}+81 x^{2} {\mathrm e}^{-2 x}$&$27$\\ \hline \end{longtable}"," ",0,"-1/x+exp(x)^6+18*x/exp(x)+81*x^2/exp(x)^2","A"
1460,1,35,31,0.064000," ","int(1/4*(2*exp(5/x^2)*ln(x)^2-2*exp(5/x^2)*ln(x)+x^3*exp(5/x^2)-x^3-10*x)*exp((-exp(5/x^2)*ln(x)^2+(x^2*ln(5)-x^2*exp(1)+x^3)*exp(5/x^2)-x^3)/x^2/exp(5/x^2))/x^3/exp(5/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \,{\mathrm e}^{-\frac{{\mathrm e}^{-\frac{5}{x^{2}}} x^{3}+x^{2} {\mathrm e}-x^{3}+\ln \left(x \right)^{2}}{x^{2}}}}{4}$&$35$\\ \hline \end{longtable}"," ",0,"5/4*exp(-(exp(-5/x^2)*x^3+x^2*exp(1)-x^3+ln(x)^2)/x^2)","A"
1461,1,186,27,0.546000," ","int((4*x^3*exp(3)^2*exp(-2*x+2)^3+(12*x^4*exp(3)^2+(4*x^3+6*x^2)*exp(3))*exp(-2*x+2)^2+(12*x^5*exp(3)^2+(4*x^4+10*x^3)*exp(3)+4*x^2+2*x)*exp(-2*x+2)+4*x^6*exp(3)^2+4*x^4*exp(3))*exp((x^4*exp(3)^2*exp(-2*x+2)^2+(2*x^5*exp(3)^2+2*x^3*exp(3))*exp(-2*x+2)+x^6*exp(3)^2+2*x^4*exp(3)+x^2)/(exp(-2*x+2)^2+2*x*exp(-2*x+2)+x^2))/((exp(-2*x+2)^3+3*x*exp(-2*x+2)^2+3*x^2*exp(-2*x+2)+x^3)*exp((x^4*exp(3)^2*exp(-2*x+2)^2+(2*x^5*exp(3)^2+2*x^3*exp(3))*exp(-2*x+2)+x^6*exp(3)^2+2*x^4*exp(3)+x^2)/(exp(-2*x+2)^2+2*x*exp(-2*x+2)+x^2))-4*exp(-2*x+2)^3-12*x*exp(-2*x+2)^2-12*x^2*exp(-2*x+2)-4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4} {\mathrm e}^{6}+\frac{x^{2} \left(2 x^{2} {\mathrm e}^{3}+2 x \,{\mathrm e}^{-2 x +5}+1\right)}{\left(x +{\mathrm e}^{-2 x +2}\right)^{2}}-\frac{x^{4} {\mathrm e}^{10-4 x}+\left(2 x^{5} {\mathrm e}^{6}+2 x^{3} {\mathrm e}^{3}\right) {\mathrm e}^{-2 x +2}+x^{6} {\mathrm e}^{6}+2 x^{4} {\mathrm e}^{3}+x^{2}}{{\mathrm e}^{-4 x +4}+2 x \,{\mathrm e}^{-2 x +2}+x^{2}}+\ln \left({\mathrm e}^{\frac{x^{2} \left(2 x^{3} {\mathrm e}^{-2 x +8}+x^{4} {\mathrm e}^{6}+2 x \,{\mathrm e}^{-2 x +5}+2 x^{2} {\mathrm e}^{3}+{\mathrm e}^{10-4 x} x^{2}+1\right)}{{\mathrm e}^{-4 x +4}+2 x \,{\mathrm e}^{-2 x +2}+x^{2}}}-4\right)$&$186$\\ \hline \end{longtable}"," ",0,"x^4*exp(6)+x^2*(2*x^2*exp(3)+2*x*exp(-2*x+5)+1)/(x+exp(-2*x+2))^2-(x^4*exp(10-4*x)+(2*x^5*exp(6)+2*x^3*exp(3))*exp(-2*x+2)+x^6*exp(6)+2*x^4*exp(3)+x^2)/(exp(-4*x+4)+2*x*exp(-2*x+2)+x^2)+ln(exp(x^2*(2*x^3*exp(-2*x+8)+x^4*exp(6)+2*x*exp(-2*x+5)+2*x^2*exp(3)+exp(10-4*x)*x^2+1)/(exp(-4*x+4)+2*x*exp(-2*x+2)+x^2))-4)","B"
1462,1,29,27,0.082000," ","int((((-x-1)*ln(x)^2+1)*exp(((4+x)*ln(x)+1)/ln(x))+ln(x)^2)*exp(-x*exp(((4+x)*ln(x)+1)/ln(x))+3+x)/ln(5)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-x \,{\mathrm e}^{\frac{x \ln \left(x \right)+4 \ln \left(x \right)+1}{\ln \left(x \right)}}+3+x}}{\ln \left(5\right)}$&$29$\\ \hline \end{longtable}"," ",0,"1/ln(5)*exp(-x*exp((x*ln(x)+4*ln(x)+1)/ln(x))+3+x)","A"
1463,1,18,11,0.056000," ","int((6*ln(x)+6*ln(-x^2))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 \ln \left(-x^{2}\right)^{2}}{2}+3 \ln \left(x \right)^{2}$&$18$\\ norman&$-3 \ln \left(x \right)^{2}+6 \ln \left(x \right) \ln \left(-x^{2}\right)$&$18$\\ risch&$9 \ln \left(x \right)^{2}-3 i \pi  \left(2 \mathrm{csgn}\left(i x^{2}\right)^{2}+\mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\mathrm{csgn}\left(i x^{2}\right)^{3}-2\right) \ln \left(x \right)$&$69$\\ \hline \end{longtable}"," ",0,"3/2*ln(-x^2)^2+3*ln(x)^2","A"
1464,1,32,26,0.044000," ","int((((-20*x*exp(x)^2+10*x)*exp(2/(exp(x)^2-x))+5*exp(x)^4-10*x*exp(x)^2+5*x^2)*exp(exp(2/(exp(x)^2-x)))+(5*exp(x)^4-10*x*exp(x)^2+5*x^2)*ln(x)+(20*x+25)*exp(x)^4+(-40*x^2-50*x)*exp(x)^2+20*x^3+25*x^2)/(exp(x)^4-2*x*exp(x)^2+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$10 x^{2}+5 x \ln \left(x \right)+5 x \,{\mathrm e}^{{\mathrm e}^{-\frac{2}{x -{\mathrm e}^{2 x}}}}+20 x$&$32$\\ \hline \end{longtable}"," ",0,"10*x^2+5*x*ln(x)+5*x*exp(exp(-2/(x-exp(2*x))))+20*x","A"
1465,1,20,19,0.109000," ","int(1/5*((2*x*exp(-ln(5)+2*x)*ln(x)+exp(-ln(5)+2*x))*ln(x^3)-3*exp(-ln(5)+2*x)*ln(x))/x/ln(x^3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(x \right) {\mathrm e}^{-\ln \left(5\right)+2 x}}{5 \ln \left(x^{3}\right)}$&$20$\\ risch&$\frac{{\mathrm e}^{2 x}}{75}-\frac{\pi  \,{\mathrm e}^{2 x} \left(\mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\mathrm{csgn}\left(i x^{2}\right)^{3}-\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\mathrm{csgn}\left(i x^{3}\right)^{3}\right)}{75 \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+6 i \ln \left(x \right)\right)}$&$239$\\ \hline \end{longtable}"," ",0,"1/5*ln(x)/ln(x^3)*exp(-ln(5)+2*x)","A"
1466,1,20,18,0.028000," ","int((-5*exp(4)+2*x-25)/(5*exp(exp(4))-135),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(-x +5 \,{\mathrm e}^{4}+25\right)}{5 \left({\mathrm e}^{{\mathrm e}^{4}}-27\right)}$&$20$\\ default&$\frac{-5 x \,{\mathrm e}^{4}+x^{2}-25 x}{5 \,{\mathrm e}^{{\mathrm e}^{4}}-135}$&$23$\\ norman&$\frac{x^{2}}{5 \,{\mathrm e}^{{\mathrm e}^{4}}-135}-\frac{\left(5+{\mathrm e}^{4}\right) x}{{\mathrm e}^{{\mathrm e}^{4}}-27}$&$28$\\ risch&$-\frac{5 x \,{\mathrm e}^{4}}{5 \,{\mathrm e}^{{\mathrm e}^{4}}-135}+\frac{x^{2}}{5 \,{\mathrm e}^{{\mathrm e}^{4}}-135}-\frac{25 x}{5 \,{\mathrm e}^{{\mathrm e}^{4}}-135}$&$41$\\ \hline \end{longtable}"," ",0,"-1/5*x*(-x+5*exp(4)+25)/(exp(exp(4))-27)","A"
1467,1,22,31,0.153000," ","int(((2*x^2*ln(5)*exp(x)^2+3*exp(1))*exp(2+x)+(x^3+x^2)*exp(x)^2)/x^2/exp(1)/exp(2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3}{x}+\ln \left(5\right) {\mathrm e}^{2 x -1}+x \,{\mathrm e}^{x -3}$&$22$\\ default&${\mathrm e}^{-1} \left({\mathrm e}^{x} {\mathrm e}^{-2}+{\mathrm e}^{-2} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)-\frac{3 \,{\mathrm e}}{x}+\ln \left(5\right) {\mathrm e}^{2 x}\right)$&$42$\\ norman&$\frac{\left({\mathrm e}^{-1} {\mathrm e}^{-2} x^{2} {\mathrm e}^{2 x}+{\mathrm e}^{-1} \ln \left(5\right) x \,{\mathrm e}^{3 x}-3 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{x}$&$42$\\ meijerg&$\frac{2 \ln \left(5\right) {\mathrm e}^{-x +1+x \,{\mathrm e}^{-2}} \left(1-{\mathrm e}^{-x \,{\mathrm e}^{-2} \left(1-{\mathrm e}^{2}\right) \left(1-\frac{2 \,{\mathrm e}^{2}}{1-{\mathrm e}^{2}}\right)}\right)}{\left(1-{\mathrm e}^{2}\right) \left(1-\frac{2 \,{\mathrm e}^{2}}{1-{\mathrm e}^{2}}\right)}+3 \,{\mathrm e}^{-x -2+x \,{\mathrm e}^{-2}} \left(1-{\mathrm e}^{2}\right) \left(\frac{{\mathrm e}^{2} \left(2-2 x \,{\mathrm e}^{-2} \left(1-{\mathrm e}^{2}\right)\right)}{2 x \left(1-{\mathrm e}^{2}\right)}-\frac{{\mathrm e}^{2-x \,{\mathrm e}^{-2} \left(1-{\mathrm e}^{2}\right)}}{x \left(1-{\mathrm e}^{2}\right)}+\ln \left(x \,{\mathrm e}^{-2} \left(1-{\mathrm e}^{2}\right)\right)+\expIntegralEi \left(1, x \,{\mathrm e}^{-2} \left(1-{\mathrm e}^{2}\right)\right)+3-\ln \left(x \right)-\ln \left(1-{\mathrm e}^{2}\right)-\frac{{\mathrm e}^{2}}{x \left(1-{\mathrm e}^{2}\right)}\right)+\frac{{\mathrm e}^{-3-x +x \,{\mathrm e}^{-2}} \left(1-\frac{\left(2-2 x \left(2-{\mathrm e}^{-2}\right)\right) {\mathrm e}^{x \left(2-{\mathrm e}^{-2}\right)}}{2}\right)}{\left(2-{\mathrm e}^{-2}\right)^{2}}-\frac{{\mathrm e}^{-3-x +x \,{\mathrm e}^{-2}} \left(1-{\mathrm e}^{x \left(2-{\mathrm e}^{-2}\right)}\right)}{2-{\mathrm e}^{-2}}$&$272$\\ \hline \end{longtable}"," ",0,"-3/x+ln(5)*exp(2*x-1)+x*exp(x-3)","A"
1468,1,22,22,0.043000," ","int(-exp(-x-1)*exp(exp(-x-1))-2/5*exp(2*x)-1/5*exp(x)+6/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{6 x}{5}+{\mathrm e}^{{\mathrm e}^{-x -1}}-\frac{{\mathrm e}^{x}}{5}-\frac{{\mathrm e}^{2 x}}{5}$&$22$\\ risch&$\frac{6 x}{5}+{\mathrm e}^{{\mathrm e}^{-x -1}}-\frac{{\mathrm e}^{x}}{5}-\frac{{\mathrm e}^{2 x}}{5}$&$22$\\ norman&$\left({\mathrm e}^{-1} {\mathrm e} \,{\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{-1} {\mathrm e}^{-x}}-\frac{{\mathrm e}^{2 x}}{5}-\frac{{\mathrm e}^{3 x}}{5}+\frac{6 \,{\mathrm e}^{x} x}{5}\right) {\mathrm e}^{-x}$&$43$\\ \hline \end{longtable}"," ",0,"6/5*x+exp(exp(-x-1))-1/5*exp(x)-1/5*exp(2*x)","A"
1469,1,26,24,0.259000," ","int(((2*x+1)*ln(3)*exp(x)+(2*x*exp(5)-2*x^2-1)*ln(3)-4*x^2+8*x-2)*exp(ln(-ln(3)*exp(x)+(-exp(5)+x)*ln(3)+2*x-4)+x^2)/(ln(3)*exp(x)+(exp(5)-x)*ln(3)+4-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-\ln \left(3\right) {\mathrm e}^{x}+\left(-{\mathrm e}^{5}+x \right) \ln \left(3\right)+2 x -4\right) {\mathrm e}^{x^{2}}$&$26$\\ norman&${\mathrm e}^{\ln \left(-\ln \left(3\right) {\mathrm e}^{x}+\left(-{\mathrm e}^{5}+x \right) \ln \left(3\right)+2 x -4\right)+x^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"(-ln(3)*exp(x)+(-exp(5)+x)*ln(3)+2*x-4)*exp(x^2)","A"
1470,1,28,18,0.596000," ","int((-64*x-60)*ln(9/(64*x^4+240*x^3+417*x^2+360*x+144))/(8*x^2+15*x+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{9}{64 x^{4}+240 x^{3}+417 x^{2}+360 x +144}\right)^{2}$&$28$\\ default&$-8 \ln \left(3\right) \ln \left(8 x^{2}+15 x +12\right)-4 \ln \left(x +\frac{15}{16}-\frac{i \sqrt{159}}{16}\right) \ln \left(\frac{1}{64 x^{4}+240 x^{3}+417 x^{2}+360 x +144}\right)-8 \dilog \left(-\frac{i \left(\frac{15}{2}+\frac{i \sqrt{159}}{2}+8 x \right) \sqrt{159}}{159}\right)-8 \ln \left(x +\frac{15}{16}-\frac{i \sqrt{159}}{16}\right) \ln \left(-\frac{i \left(\frac{15}{2}+\frac{i \sqrt{159}}{2}+8 x \right) \sqrt{159}}{159}\right)-4 \ln \left(x +\frac{15}{16}-\frac{i \sqrt{159}}{16}\right)^{2}-4 \ln \left(x +\frac{15}{16}+\frac{i \sqrt{159}}{16}\right) \ln \left(\frac{1}{64 x^{4}+240 x^{3}+417 x^{2}+360 x +144}\right)-8 \dilog \left(\frac{i \left(\frac{15}{2}-\frac{i \sqrt{159}}{2}+8 x \right) \sqrt{159}}{159}\right)-8 \ln \left(x +\frac{15}{16}+\frac{i \sqrt{159}}{16}\right) \ln \left(\frac{i \left(\frac{15}{2}-\frac{i \sqrt{159}}{2}+8 x \right) \sqrt{159}}{159}\right)-4 \ln \left(x +\frac{15}{16}+\frac{i \sqrt{159}}{16}\right)^{2}$&$215$\\ risch&$-8 \ln \left(3\right) \ln \left(8 x^{2}+15 x +12\right)-4 \ln \left(x +\frac{15}{16}-\frac{i \sqrt{159}}{16}\right) \ln \left(\frac{1}{64 x^{4}+240 x^{3}+417 x^{2}+360 x +144}\right)-8 \dilog \left(-\frac{i \left(\frac{15}{2}+\frac{i \sqrt{159}}{2}+8 x \right) \sqrt{159}}{159}\right)-8 \ln \left(x +\frac{15}{16}-\frac{i \sqrt{159}}{16}\right) \ln \left(-\frac{i \left(\frac{15}{2}+\frac{i \sqrt{159}}{2}+8 x \right) \sqrt{159}}{159}\right)-4 \ln \left(x +\frac{15}{16}-\frac{i \sqrt{159}}{16}\right)^{2}-4 \ln \left(x +\frac{15}{16}+\frac{i \sqrt{159}}{16}\right) \ln \left(\frac{1}{64 x^{4}+240 x^{3}+417 x^{2}+360 x +144}\right)-8 \dilog \left(\frac{i \left(\frac{15}{2}-\frac{i \sqrt{159}}{2}+8 x \right) \sqrt{159}}{159}\right)-8 \ln \left(x +\frac{15}{16}+\frac{i \sqrt{159}}{16}\right) \ln \left(\frac{i \left(\frac{15}{2}-\frac{i \sqrt{159}}{2}+8 x \right) \sqrt{159}}{159}\right)-4 \ln \left(x +\frac{15}{16}+\frac{i \sqrt{159}}{16}\right)^{2}$&$215$\\ \hline \end{longtable}"," ",0,"ln(9/(64*x^4+240*x^3+417*x^2+360*x+144))^2","A"
1471,0,0,25,0.028000," ","int((((x^4-x^2-4*x)*ln((-x^3+x+4)/x)+2*x^4-2*x^2-8*x)*ln(ln((-x^3+x+4)/x)+2)+(4*x^5+10*x^4-4*x^3-26*x^2-40*x)*ln((-x^3+x+4)/x)+8*x^5+22*x^4-52*x^2-76*x+16)/((x^4-x^2-4*x)*ln((-x^3+x+4)/x)+2*x^4-2*x^2-8*x),x)","\[\int \frac{\left(\left(x^{4}-x^{2}-4 x \right) \ln \left(\frac{-x^{3}+x +4}{x}\right)+2 x^{4}-2 x^{2}-8 x \right) \ln \left(\ln \left(\frac{-x^{3}+x +4}{x}\right)+2\right)+\left(4 x^{5}+10 x^{4}-4 x^{3}-26 x^{2}-40 x \right) \ln \left(\frac{-x^{3}+x +4}{x}\right)+8 x^{5}+22 x^{4}-52 x^{2}-76 x +16}{\left(x^{4}-x^{2}-4 x \right) \ln \left(\frac{-x^{3}+x +4}{x}\right)+2 x^{4}-2 x^{2}-8 x}\, dx\]"," ",0,"int((((x^4-x^2-4*x)*ln((-x^3+x+4)/x)+2*x^4-2*x^2-8*x)*ln(ln((-x^3+x+4)/x)+2)+(4*x^5+10*x^4-4*x^3-26*x^2-40*x)*ln((-x^3+x+4)/x)+8*x^5+22*x^4-52*x^2-76*x+16)/((x^4-x^2-4*x)*ln((-x^3+x+4)/x)+2*x^4-2*x^2-8*x),x)","F"
1472,1,27,25,0.035000," ","int((-64*x^2*ln(5*x)^2+(128*x^3-64*x^2+288)*ln(5*x)-64*x^4+80*x^3-16*x^2-336*x+48)/(225*x^7*ln(5*x)^2-450*x^8*ln(5*x)+225*x^9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16}{225 x^{4}}-\frac{16 \left(x^{2}-3\right)}{225 x^{6} \left(x -\ln \left(5 x \right)\right)}$&$27$\\ \hline \end{longtable}"," ",0,"16/225/x^4-16/225*(x^2-3)/x^6/(x-ln(5*x))","A"
1473,1,42,26,0.038000," ","int((5*ln(ln(5)^2-9*ln(5)+25)+(2*x^2-30*x)*ln(x)+(2*x^2-30*x)*ln(5)+x^2-30*x+225)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2} \ln \left(5\right)+x^{2} \ln \left(x \right)+\left(5 \ln \left(\ln \left(5\right)^{2}-9 \ln \left(5\right)+25\right)+225\right) \ln \left(x \right)-30 x \ln \left(5\right)-30 x \ln \left(x \right)$&$42$\\ risch&$\left(x^{2}-30 x \right) \ln \left(x \right)+x^{2} \ln \left(5\right)+5 \ln \left(\ln \left(5\right)^{2}-9 \ln \left(5\right)+25\right) \ln \left(x \right)-30 x \ln \left(5\right)+225 \ln \left(x \right)$&$42$\\ default&$x^{2} \ln \left(x \right)+x^{2} \ln \left(5\right)-30 x \ln \left(x \right)-30 x \ln \left(5\right)+5 \ln \left(\ln \left(5\right)^{2}-9 \ln \left(5\right)+25\right) \ln \left(x \right)+225 \ln \left(x \right)$&$43$\\ \hline \end{longtable}"," ",0,"x^2*ln(5)+x^2*ln(x)+(5*ln(ln(5)^2-9*ln(5)+25)+225)*ln(x)-30*x*ln(5)-30*x*ln(x)","A"
1474,1,23,22,0.191000," ","int(1/5*(-2*x*exp(1)*exp(1/5*x^2*exp(1))*exp(exp(1/5*x^2*exp(1))+1)+5)*exp(exp(exp(1/5*x^2*exp(1))+1)-x)+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{\frac{x^{2} {\mathrm e}}{5}}+1}-x}$&$23$\\ norman&$2 x -{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{\frac{x^{2} {\mathrm e}}{5}}+1}-x}$&$23$\\ risch&$2 x -{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{\frac{x^{2} {\mathrm e}}{5}}+1}-x}$&$23$\\ \hline \end{longtable}"," ",0,"2*x-exp(exp(exp(1/5*x^2*exp(1))+1)-x)","A"
1475,0,0,29,0.035000," ","int(((3*x^2+16*x+16)*ln(4/(4+x))^2+(-28*x^2-156*x-160)*ln(4/(4+x))+2*x^3+75*x^2+388*x+400)/((x^3+6*x^2+8*x)*ln(4/(4+x))^2+(-10*x^3-60*x^2-80*x)*ln(4/(4+x))+x^4+31*x^3+158*x^2+200*x)/ln((ln(4/(4+x))^2-10*ln(4/(4+x))+x+25)/(2*x^3+4*x^2))^2,x)","\[\int \frac{\left(3 x^{2}+16 x +16\right) \ln \left(\frac{4}{4+x}\right)^{2}+\left(-28 x^{2}-156 x -160\right) \ln \left(\frac{4}{4+x}\right)+2 x^{3}+75 x^{2}+388 x +400}{\left(\left(x^{3}+6 x^{2}+8 x \right) \ln \left(\frac{4}{4+x}\right)^{2}+\left(-10 x^{3}-60 x^{2}-80 x \right) \ln \left(\frac{4}{4+x}\right)+x^{4}+31 x^{3}+158 x^{2}+200 x \right) \ln \left(\frac{\ln \left(\frac{4}{4+x}\right)^{2}-10 \ln \left(\frac{4}{4+x}\right)+x +25}{2 x^{3}+4 x^{2}}\right)^{2}}\, dx\]"," ",0,"int(((3*x^2+16*x+16)*ln(4/(4+x))^2+(-28*x^2-156*x-160)*ln(4/(4+x))+2*x^3+75*x^2+388*x+400)/((x^3+6*x^2+8*x)*ln(4/(4+x))^2+(-10*x^3-60*x^2-80*x)*ln(4/(4+x))+x^4+31*x^3+158*x^2+200*x)/ln((ln(4/(4+x))^2-10*ln(4/(4+x))+x+25)/(2*x^3+4*x^2))^2,x)","F"
1476,1,323,39,0.135000," ","int((((16*x+16)*ln(3)^4+(-256*x-256)*ln(3)^3+(1536*x+1536)*ln(3)^2+(-4096*x-4096)*ln(3)+4096*x+4096)*exp(x)^9+((32*x+64)*ln(3)^4+(-512*x-1024)*ln(3)^3+(3072*x+6144)*ln(3)^2+(-8192*x-16384)*ln(3)+8192*x+16384)*exp(x)^8+((-64*x^3+192*x^2)*ln(3)^3+(768*x^3-2304*x^2)*ln(3)^2+(-3072*x^3+9216*x^2)*ln(3)+4096*x^3-12288*x^2)*exp(x)^7+((-128*x^4-256*x^3+768*x^2)*ln(3)^3+(1536*x^4+3072*x^3-9216*x^2)*ln(3)^2+(-6144*x^4-12288*x^3+36864*x^2)*ln(3)+8192*x^4+16384*x^3-49152*x^2)*exp(x)^6+((-288*x^5+480*x^4)*ln(3)^2+(2304*x^5-3840*x^4)*ln(3)-4608*x^5+7680*x^4)*exp(x)^5+((-384*x^6-960*x^5+1920*x^4)*ln(3)^2+(3072*x^6+7680*x^5-15360*x^4)*ln(3)-6144*x^6-15360*x^5+30720*x^4)*exp(x)^4+((-320*x^7+448*x^6)*ln(3)+1280*x^7-1792*x^6)*exp(x)^3+((-384*x^8-1024*x^7+1792*x^6)*ln(3)+1536*x^8+4096*x^7-7168*x^6)*exp(x)^2+(-112*x^9+144*x^8)*exp(x)-128*x^10-352*x^9+576*x^8)/exp(x)^8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{2} \ln \left(3\right)^{4}+64 x \ln \left(3\right)^{4}-256 \ln \left(3\right)^{3} x^{2}-1024 x \ln \left(3\right)^{3}+1536 x^{2} \ln \left(3\right)^{2}+6144 x \ln \left(3\right)^{2}-4096 x^{2} \ln \left(3\right)-16384 x \ln \left(3\right)+4096 x^{2}+16384 x +16 \left(\ln \left(3\right)^{4}-16 \ln \left(3\right)^{3}+96 \ln \left(3\right)^{2}-256 \ln \left(3\right)+256\right) x \,{\mathrm e}^{x}+64 \left(\ln \left(3\right)^{3}-12 \ln \left(3\right)^{2}+48 \ln \left(3\right)-64\right) x^{3} {\mathrm e}^{-x}+\left(64 x^{4} \ln \left(3\right)^{3}+256 x^{3} \ln \left(3\right)^{3}-768 x^{4} \ln \left(3\right)^{2}-3072 x^{3} \ln \left(3\right)^{2}+3072 x^{4} \ln \left(3\right)+12288 x^{3} \ln \left(3\right)-4096 x^{4}-16384 x^{3}\right) {\mathrm e}^{-2 x}+96 \left(\ln \left(3\right)^{2}-8 \ln \left(3\right)+16\right) x^{5} {\mathrm e}^{-3 x}+\left(96 x^{6} \ln \left(3\right)^{2}+384 x^{5} \ln \left(3\right)^{2}-768 x^{6} \ln \left(3\right)-3072 x^{5} \ln \left(3\right)+1536 x^{6}+6144 x^{5}\right) {\mathrm e}^{-4 x}+64 \left(-4+\ln \left(3\right)\right) x^{7} {\mathrm e}^{-5 x}+\left(64 x^{8} \ln \left(3\right)+256 \ln \left(3\right) x^{7}-256 x^{8}-1024 x^{7}\right) {\mathrm e}^{-6 x}+16 \,{\mathrm e}^{-7 x} x^{9}+\left(16 x^{10}+64 x^{9}\right) {\mathrm e}^{-8 x}$&$323$\\ default&$16384 x +1536 x \ln \left(3\right)^{2} {\mathrm e}^{x}-4096 x^{2} \ln \left(3\right)+4096 x^{2}-1024 x \ln \left(3\right)^{3}+6144 x \ln \left(3\right)^{2}-16384 x \ln \left(3\right)+64 x \ln \left(3\right)^{4}+4096 \,{\mathrm e}^{x} x -4096 x^{3} {\mathrm e}^{-x}+1536 x^{5} {\mathrm e}^{-3 x}-256 x^{7} {\mathrm e}^{-5 x}-4096 x \ln \left(3\right) {\mathrm e}^{x}+16 x^{2} \ln \left(3\right)^{4}+1536 x^{2} \ln \left(3\right)^{2}+16 \,{\mathrm e}^{-7 x} x^{9}-4096 x^{4} {\mathrm e}^{-2 x}-1024 \,{\mathrm e}^{-6 x} x^{7}-256 \ln \left(3\right)^{3} x^{2}-256 \,{\mathrm e}^{-6 x} x^{8}+16 \,{\mathrm e}^{-8 x} x^{10}+64 \,{\mathrm e}^{-8 x} x^{9}-16384 \,{\mathrm e}^{-2 x} x^{3}+1536 \,{\mathrm e}^{-4 x} x^{6}+6144 \,{\mathrm e}^{-4 x} x^{5}+256 \,{\mathrm e}^{-2 x} \ln \left(3\right)^{3} x^{3}-768 \,{\mathrm e}^{-2 x} \ln \left(3\right)^{2} x^{4}+96 \,{\mathrm e}^{-3 x} \ln \left(3\right)^{2} x^{5}+96 \,{\mathrm e}^{-4 x} \ln \left(3\right)^{2} x^{6}+3072 \,{\mathrm e}^{-x} \ln \left(3\right) x^{3}-3072 \,{\mathrm e}^{-2 x} \ln \left(3\right)^{2} x^{3}+3072 \,{\mathrm e}^{-2 x} \ln \left(3\right) x^{4}-768 \,{\mathrm e}^{-3 x} \ln \left(3\right) x^{5}+384 \,{\mathrm e}^{-4 x} \ln \left(3\right)^{2} x^{5}-768 \,{\mathrm e}^{-4 x} \ln \left(3\right) x^{6}+64 \,{\mathrm e}^{-5 x} \ln \left(3\right) x^{7}+64 \,{\mathrm e}^{-6 x} \ln \left(3\right) x^{8}+12288 \,{\mathrm e}^{-2 x} \ln \left(3\right) x^{3}-3072 \,{\mathrm e}^{-4 x} \ln \left(3\right) x^{5}+256 \,{\mathrm e}^{-6 x} \ln \left(3\right) x^{7}+64 \,{\mathrm e}^{-x} \ln \left(3\right)^{3} x^{3}+64 \,{\mathrm e}^{-2 x} \ln \left(3\right)^{3} x^{4}-768 \,{\mathrm e}^{-x} \ln \left(3\right)^{2} x^{3}+16 \,{\mathrm e}^{x} \ln \left(3\right)^{4} x -256 \,{\mathrm e}^{x} \ln \left(3\right)^{3} x$&$433$\\ \hline \end{longtable}"," ",0,"16*x^2*ln(3)^4+64*x*ln(3)^4-256*ln(3)^3*x^2-1024*x*ln(3)^3+1536*x^2*ln(3)^2+6144*x*ln(3)^2-4096*x^2*ln(3)-16384*x*ln(3)+4096*x^2+16384*x+16*(ln(3)^4-16*ln(3)^3+96*ln(3)^2-256*ln(3)+256)*x*exp(x)+64*(ln(3)^3-12*ln(3)^2+48*ln(3)-64)*x^3*exp(-x)+(64*x^4*ln(3)^3+256*x^3*ln(3)^3-768*x^4*ln(3)^2-3072*x^3*ln(3)^2+3072*x^4*ln(3)+12288*x^3*ln(3)-4096*x^4-16384*x^3)*exp(-2*x)+96*(ln(3)^2-8*ln(3)+16)*x^5*exp(-3*x)+(96*x^6*ln(3)^2+384*x^5*ln(3)^2-768*x^6*ln(3)-3072*x^5*ln(3)+1536*x^6+6144*x^5)*exp(-4*x)+64*(-4+ln(3))*x^7*exp(-5*x)+(64*x^8*ln(3)+256*ln(3)*x^7-256*x^8-1024*x^7)*exp(-6*x)+16*exp(-7*x)*x^9+(16*x^10+64*x^9)*exp(-8*x)","B"
1477,1,47,25,0.139000," ","int((((-4*x*exp(exp(5))-8*x^2-4*x+2)*exp(exp(exp(5))^2+(4*x+2)*exp(exp(5))+4*x^2+4*x+1)+x^3-8)*exp((-exp(exp(exp(5))^2+(4*x+2)*exp(exp(5))+4*x^2+4*x+1)+x^3+3*x^2+4)/x^2)+x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{-{\mathrm e}^{4 x \,{\mathrm e}^{{\mathrm e}^{5}}+4 x^{2}+{\mathrm e}^{2 \,{\mathrm e}^{5}}+2 \,{\mathrm e}^{{\mathrm e}^{5}}+4 x +1}+x^{3}+3 x^{2}+4}{x^{2}}}$&$47$\\ norman&$\frac{x^{3}+x^{2} {\mathrm e}^{\frac{-{\mathrm e}^{{\mathrm e}^{2 \,{\mathrm e}^{5}}+\left(4 x +2\right) {\mathrm e}^{{\mathrm e}^{5}}+4 x^{2}+4 x +1}+x^{3}+3 x^{2}+4}{x^{2}}}}{x^{2}}$&$55$\\ \hline \end{longtable}"," ",0,"x+exp((-exp(4*x*exp(exp(5))+4*x^2+exp(2*exp(5))+2*exp(exp(5))+4*x+1)+x^3+3*x^2+4)/x^2)","A"
1478,1,27,31,0.083000," ","int((100*x^2*ln(2)^2+2*(5*exp(4)-30*x^3-25)*ln(2)-6*x*exp(4)+9*x^4+6*x^2+30*x)/(100*x^2*ln(2)^2-60*x^3*ln(2)+9*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{2 x -{\mathrm e}^{4}+5}{x \left(10 \ln \left(2\right)-3 x \right)}$&$27$\\ norman&$\frac{-3 x^{3}+5+\left(\frac{100 \ln \left(2\right)^{2}}{3}+2\right) x -{\mathrm e}^{4}}{x \left(10 \ln \left(2\right)-3 x \right)}$&$36$\\ gosper&$-\frac{-100 x \ln \left(2\right)^{2}+9 x^{3}+3 \,{\mathrm e}^{4}-6 x -15}{3 x \left(10 \ln \left(2\right)-3 x \right)}$&$37$\\ default&$x -\frac{-9 \,{\mathrm e}^{4}+60 \ln \left(2\right)+45}{30 \ln \left(2\right) \left(-10 \ln \left(2\right)+3 x \right)}-\frac{{\mathrm e}^{4}-5}{10 \ln \left(2\right) x}$&$42$\\ \hline \end{longtable}"," ",0,"x+10*(1/5*x-1/10*exp(4)+1/2)/x/(10*ln(2)-3*x)","A"
1479,1,14,16,0.021000," ","int(1/4*exp(-ln((exp(1)^2-5)/exp(1)^2)+1/4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2+\frac{x}{4}}}{{\mathrm e}^{2}-5}$&$14$\\ meijerg&$-\frac{{\mathrm e}^{2} \left(1-{\mathrm e}^{\frac{x}{4}}\right)}{{\mathrm e}^{2}-5}$&$19$\\ gosper&${\mathrm e}^{-\ln \left(\left({\mathrm e}^{2}-5\right) {\mathrm e}^{-2}\right)+\frac{x}{4}}$&$20$\\ derivativedivides&${\mathrm e}^{-\ln \left(\left({\mathrm e}^{2}-5\right) {\mathrm e}^{-2}\right)+\frac{x}{4}}$&$20$\\ default&${\mathrm e}^{-\ln \left(\left({\mathrm e}^{2}-5\right) {\mathrm e}^{-2}\right)+\frac{x}{4}}$&$20$\\ norman&${\mathrm e}^{-\ln \left(\left({\mathrm e}^{2}-5\right) {\mathrm e}^{-2}\right)+\frac{x}{4}}$&$20$\\ \hline \end{longtable}"," ",0,"1/(exp(2)-5)*exp(2+1/4*x)","A"
1480,0,0,28,1.079000," ","int((-exp(x)*exp(exp(x))^2+((-2*exp(4)+2*x^2-x+10)*exp(x)-1)*exp(exp(x))+(-exp(4)^2+(2*x^2-2*x+10)*exp(4)-x^4+2*x^3-11*x^2+10*x-25)*exp(x)-exp(4)-x^2+5)*exp(((-exp(x)+4)*exp(exp(x))+(-exp(4)+x^2-x+5)*exp(x)+4*exp(4)-4*x^2+3*x-20)/(exp(exp(x))+exp(4)-x^2+x-5))/(exp(exp(x))^2+(2*exp(4)-2*x^2+2*x-10)*exp(exp(x))+exp(4)^2+(-2*x^2+2*x-10)*exp(4)+x^4-2*x^3+11*x^2-10*x+25),x)","\[\int \frac{\left(-{\mathrm e}^{x} {\mathrm e}^{2 \,{\mathrm e}^{x}}+\left(\left(-2 \,{\mathrm e}^{4}+2 x^{2}-x +10\right) {\mathrm e}^{x}-1\right) {\mathrm e}^{{\mathrm e}^{x}}+\left(-{\mathrm e}^{8}+\left(2 x^{2}-2 x +10\right) {\mathrm e}^{4}-x^{4}+2 x^{3}-11 x^{2}+10 x -25\right) {\mathrm e}^{x}-{\mathrm e}^{4}-x^{2}+5\right) {\mathrm e}^{\frac{\left(-{\mathrm e}^{x}+4\right) {\mathrm e}^{{\mathrm e}^{x}}+\left(-{\mathrm e}^{4}+x^{2}-x +5\right) {\mathrm e}^{x}+4 \,{\mathrm e}^{4}-4 x^{2}+3 x -20}{{\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{4}-x^{2}+x -5}}}{{\mathrm e}^{2 \,{\mathrm e}^{x}}+\left(2 \,{\mathrm e}^{4}-2 x^{2}+2 x -10\right) {\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{8}+\left(-2 x^{2}+2 x -10\right) {\mathrm e}^{4}+x^{4}-2 x^{3}+11 x^{2}-10 x +25}\, dx\]"," ",0,"int((-exp(x)*exp(exp(x))^2+((-2*exp(4)+2*x^2-x+10)*exp(x)-1)*exp(exp(x))+(-exp(4)^2+(2*x^2-2*x+10)*exp(4)-x^4+2*x^3-11*x^2+10*x-25)*exp(x)-exp(4)-x^2+5)*exp(((-exp(x)+4)*exp(exp(x))+(-exp(4)+x^2-x+5)*exp(x)+4*exp(4)-4*x^2+3*x-20)/(exp(exp(x))+exp(4)-x^2+x-5))/(exp(exp(x))^2+(2*exp(4)-2*x^2+2*x-10)*exp(exp(x))+exp(4)^2+(-2*x^2+2*x-10)*exp(4)+x^4-2*x^3+11*x^2-10*x+25),x)","F"
1481,1,52,26,0.166000," ","int((((4*x+4)*exp(x)+4)*ln(x)^2+(8*exp(x)+8)*ln(x)+(4*x^2+8*x)*exp(x)+8*x+4)*exp((exp(x)*x+x)*ln(x)^2+exp(x)*x^2+x^2+x)^4+(((-4*x^2-4*x)*exp(x)-4*x)*ln(x)^2+(-8*exp(x)*x-8*x)*ln(x)+(-4*x^3-8*x^2)*exp(x)-8*x^2-4*x-2)*exp((exp(x)*x+x)*ln(x)^2+exp(x)*x^2+x^2+x)^2+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{4 x \left({\mathrm e}^{x} \ln \left(x \right)^{2}+\ln \left(x \right)^{2}+{\mathrm e}^{x} x +x +1\right)}-2 \,{\mathrm e}^{2 x \left({\mathrm e}^{x} \ln \left(x \right)^{2}+\ln \left(x \right)^{2}+{\mathrm e}^{x} x +x +1\right)} x +x^{2}$&$52$\\ \hline \end{longtable}"," ",0,"exp(4*x*(exp(x)*ln(x)^2+ln(x)^2+exp(x)*x+x+1))-2*exp(2*x*(exp(x)*ln(x)^2+ln(x)^2+exp(x)*x+x+1))*x+x^2","A"
1482,1,29,24,0.041000," ","int(((-6*x^2+18*x+5)*ln(x)+8*x^3+x^2-91*x-20)/((2*x^3-9*x^2-5*x)*ln(x)-2*x^4-x^3+50*x^2+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(2 x^{3}-9 x^{2}-5 x \right)-\ln \left(\ln \left(x \right)-5-x \right)$&$29$\\ norman&$-\ln \left(x \right)-\ln \left(x -5\right)-\ln \left(2 x +1\right)-\ln \left(x -\ln \left(x \right)+5\right)$&$30$\\ \hline \end{longtable}"," ",0,"-ln(2*x^3-9*x^2-5*x)-ln(ln(x)-5-x)","A"
1483,1,25,21,0.303000," ","int(((x^3+11*x^2+35*x+25)*exp(x)+(x^2+20*x+25)*exp(2*x/(5+x))-6*x^3-59*x^2-140*x+25)*exp(exp(x)*x+x*exp(2*x/(5+x))-3*x^2+x+1)/(x^2+10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{x} x +x \,{\mathrm e}^{\frac{2 x}{5+x}}-3 x^{2}+x +1}$&$25$\\ \hline \end{longtable}"," ",0,"exp(exp(x)*x+x*exp(2*x/(5+x))-3*x^2+x+1)","A"
1484,1,15,16,0.035000," ","int(1/2*(5+x)*ln(3)*exp(x)/ln(ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(4+x \right) \ln \left(3\right) {\mathrm e}^{x}}{2 \ln \left(\ln \left(2\right)\right)}$&$15$\\ risch&$\frac{\left(4+x \right) \ln \left(3\right) {\mathrm e}^{x}}{2 \ln \left(\ln \left(2\right)\right)}$&$15$\\ default&$\frac{\ln \left(3\right) \left({\mathrm e}^{x} x +4 \,{\mathrm e}^{x}\right)}{2 \ln \left(\ln \left(2\right)\right)}$&$19$\\ norman&$\frac{2 \ln \left(3\right) {\mathrm e}^{x}}{\ln \left(\ln \left(2\right)\right)}+\frac{\ln \left(3\right) x \,{\mathrm e}^{x}}{2 \ln \left(\ln \left(2\right)\right)}$&$25$\\ meijerg&$-\frac{5 \ln \left(3\right) \left(1-{\mathrm e}^{x}\right)}{2 \ln \left(\ln \left(2\right)\right)}+\frac{\ln \left(3\right) \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)}{2 \ln \left(\ln \left(2\right)\right)}$&$37$\\ \hline \end{longtable}"," ",0,"1/2*(4+x)*ln(3)*exp(x)/ln(ln(2))","A"
1485,1,39,21,0.057000," ","int((-2754990144*ln(2)^4+136048896*ln(2)^3-2519424*ln(2)^2+20736*ln(2)-64)/(64*x*ln(2)^4*ln(x)^2-64*x*ln(2)^4*ln(x)+16*x*ln(2)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{-172186884 \ln \left(2\right)^{4}+8503056 \ln \left(2\right)^{3}-157464 \ln \left(2\right)^{2}+1296 \ln \left(2\right)-4}{2 \ln \left(2\right)^{4} \left(-1+2 \ln \left(x \right)\right)}$&$39$\\ risch&$\frac{86093442}{-1+2 \ln \left(x \right)}-\frac{4251528}{\ln \left(2\right) \left(-1+2 \ln \left(x \right)\right)}+\frac{78732}{\ln \left(2\right)^{2} \left(-1+2 \ln \left(x \right)\right)}-\frac{648}{\ln \left(2\right)^{3} \left(-1+2 \ln \left(x \right)\right)}+\frac{2}{\ln \left(2\right)^{4} \left(-1+2 \ln \left(x \right)\right)}$&$68$\\ norman&$\frac{8 \left(43046721 \ln \left(2\right)^{4}-2125764 \ln \left(2\right)^{3}+39366 \ln \left(2\right)^{2}-324 \ln \left(2\right)+1\right) \ln \left(x \right)^{2}}{\ln \left(2\right)^{4} \left(-1+2 \ln \left(x \right)\right)}-\frac{4 \left(43046721 \ln \left(2\right)^{4}-2125764 \ln \left(2\right)^{3}+39366 \ln \left(2\right)^{2}-324 \ln \left(2\right)+1\right) \ln \left(x \right)}{\ln \left(2\right)^{4}}$&$76$\\ \hline \end{longtable}"," ",0,"-1/2*(-172186884*ln(2)^4+8503056*ln(2)^3-157464*ln(2)^2+1296*ln(2)-4)/ln(2)^4/(-1+2*ln(x))","A"
1486,1,101,34,0.342000," ","int((-x*exp(exp((4*x^2+5*x-2)/x))^2+((4*x^2+2)*exp((4*x^2+5*x-2)/x)*ln(x^2)+8*x)*exp(exp((4*x^2+5*x-2)/x))-15*x)*exp((-2*exp(exp((4*x^2+5*x-2)/x))-ln(x^2)+10)/(exp(exp((4*x^2+5*x-2)/x))-5))/(x^3*exp(exp((4*x^2+5*x-2)/x))^2-10*x^3*exp(exp((4*x^2+5*x-2)/x))+25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+4 \ln \left(x \right)+4 \,{\mathrm e}^{{\mathrm e}^{\frac{4 x^{2}+5 x -2}{x}}}-20}{2 \left({\mathrm e}^{{\mathrm e}^{\frac{4 x^{2}+5 x -2}{x}}}-5\right)}}}{x}$&$101$\\ \hline \end{longtable}"," ",0,"1/x*exp(-1/2*(-I*Pi*csgn(I*x^2)^3+2*I*Pi*csgn(I*x^2)^2*csgn(I*x)-I*Pi*csgn(I*x^2)*csgn(I*x)^2+4*ln(x)+4*exp(exp((4*x^2+5*x-2)/x))-20)/(exp(exp((4*x^2+5*x-2)/x))-5))","C"
1487,1,33,32,0.046000," ","int(((50*x^3-150*x^2+150*x-50)*exp(x)^2+(150*x^3-510*x^2+630*x-270)*exp(x)+180*x-252)/(25*x^3-75*x^2+75*x-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{36}{25 \left(x -1\right)^{2}}-\frac{36}{5 \left(x -1\right)}-\frac{12 \,{\mathrm e}^{x}}{5 \left(x -1\right)}+6 \,{\mathrm e}^{x}+{\mathrm e}^{2 x}$&$33$\\ risch&$\frac{-\frac{36 x}{5}+\frac{216}{25}}{x^{2}-2 x +1}+{\mathrm e}^{2 x}+\frac{6 \left(5 x -7\right) {\mathrm e}^{x}}{5 \left(x -1\right)}$&$36$\\ norman&$\frac{{\mathrm e}^{2 x}-\frac{36 x}{5}+{\mathrm e}^{2 x} x^{2}-2 x \,{\mathrm e}^{2 x}-\frac{72 \,{\mathrm e}^{x} x}{5}+6 \,{\mathrm e}^{x} x^{2}+\frac{42 \,{\mathrm e}^{x}}{5}+\frac{216}{25}}{\left(x -1\right)^{2}}$&$47$\\ \hline \end{longtable}"," ",0,"36/25/(x-1)^2-36/5/(x-1)-12/5/(x-1)*exp(x)+6*exp(x)+exp(x)^2","A"
1488,1,26,23,0.096000," ","int((-x*exp(((-x-4)*ln(5)+exp(2)+exp(1)^2)/ln(5))-3)*exp(exp(((-x-4)*ln(5)+exp(2)+exp(1)^2)/ln(5)))/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{{\mathrm e}^{\frac{-x \ln \left(5\right)+2 \,{\mathrm e}^{2}-4 \ln \left(5\right)}{\ln \left(5\right)}}}}{x^{3}}$&$26$\\ norman&$\frac{{\mathrm e}^{{\mathrm e}^{\frac{\left(-x -4\right) \ln \left(5\right)+2 \,{\mathrm e}^{2}}{\ln \left(5\right)}}}}{x^{3}}$&$27$\\ \hline \end{longtable}"," ",0,"1/x^3*exp(exp((-x*ln(5)+2*exp(2)-4*ln(5))/ln(5)))","A"
1489,1,60,26,0.051000," ","int((-72*x^6-198*x^5-306*x^4-252*x^3-126*x^2-18*x)*exp(2*x)^4+(-24*x^5-54*x^4-48*x^3-18*x^2)*exp(2*x)^2-4*x^3+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-9 x^{6}-18 x^{5}-27 x^{4}-18 x^{3}-9 x^{2}\right) {\mathrm e}^{8 x}+\left(-6 x^{5}-6 x^{4}-6 x^{3}\right) {\mathrm e}^{4 x}-x^{4}+x$&$60$\\ derivativedivides&$x -x^{4}-6 x^{3} {\mathrm e}^{4 x}-6 x^{4} {\mathrm e}^{4 x}-6 \,{\mathrm e}^{4 x} x^{5}-9 \,{\mathrm e}^{8 x} x^{2}-18 \,{\mathrm e}^{8 x} x^{3}-27 x^{4} {\mathrm e}^{8 x}-18 \,{\mathrm e}^{8 x} x^{5}-9 \,{\mathrm e}^{8 x} x^{6}$&$96$\\ default&$x -x^{4}-6 x^{3} {\mathrm e}^{4 x}-6 x^{4} {\mathrm e}^{4 x}-6 \,{\mathrm e}^{4 x} x^{5}-9 \,{\mathrm e}^{8 x} x^{2}-18 \,{\mathrm e}^{8 x} x^{3}-27 x^{4} {\mathrm e}^{8 x}-18 \,{\mathrm e}^{8 x} x^{5}-9 \,{\mathrm e}^{8 x} x^{6}$&$96$\\ \hline \end{longtable}"," ",0,"(-9*x^6-18*x^5-27*x^4-18*x^3-9*x^2)*exp(8*x)+(-6*x^5-6*x^4-6*x^3)*exp(4*x)-x^4+x","B"
1490,1,22,17,0.059000," ","int((x*ln(x)+(x^2+8*x)*exp(x)+3*x^3+54*x^2+250*x-9)/(3*x^3+54*x^2+243*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}-\frac{\ln \left(x \right)}{3}+\frac{251 x}{27}+\frac{{\mathrm e}^{x}}{3}}{x +9}$&$22$\\ risch&$-\frac{\ln \left(x \right)}{3 \left(x +9\right)}+\frac{3 x^{2}+27 x +{\mathrm e}^{x}-8}{3 x +27}$&$30$\\ default&$\frac{x \ln \left(x \right)}{27 x +243}+\frac{{\mathrm e}^{x}}{3 x +27}+x -\frac{8}{3 \left(x +9\right)}-\frac{\ln \left(x \right)}{27}$&$33$\\ \hline \end{longtable}"," ",0,"(x^2-1/3*ln(x)+251/27*x+1/3*exp(x))/(x+9)","A"
1491,1,43,32,0.045000," ","int((((6*x^3+30*x^2+48*x+24)*exp(x-4)+18*x^3+60*x^2+24*x-48)*ln(x)+(-6*x^4-12*x^3+6*x^2-24*x-24)*exp(x-4)-9*x^4-9*x^3-48*x^2+12*x+48)/((4*x^4+16*x^3+16*x^2)*exp(x-4)^2+(12*x^5+32*x^4-16*x^3-64*x^2)*exp(x-4)+9*x^6+12*x^5-44*x^4-32*x^3+64*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 \ln \left(x \right)}{x \left(3 x -4+2 \,{\mathrm e}^{x -4}\right)}+\frac{3 x}{\left(2+x \right) \left(3 x -4+2 \,{\mathrm e}^{x -4}\right)}$&$43$\\ \hline \end{longtable}"," ",0,"-3/x/(3*x-4+2*exp(x-4))*ln(x)+3*x/(2+x)/(3*x-4+2*exp(x-4))","A"
1492,1,32,26,9.064000," ","int((((8*x^4-32)*exp(2)+4*x^5+13*x^3-48*x)*exp(3)^2+(-40*x^4+160)*exp(3))/((x^3*exp(2)^2+2*x^4*exp(2)+x^5)*exp(3)^2+(-10*x^3*exp(2)-10*x^4)*exp(3)+25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(4 x^{4}-13 x^{2}+16\right) {\mathrm e}^{3}}{x^{2} \left({\mathrm e}^{2} {\mathrm e}^{3}+x \,{\mathrm e}^{3}-5\right)}$&$32$\\ norman&$\frac{-13 x^{2} {\mathrm e}^{3}+4 x^{4} {\mathrm e}^{3}+16 \,{\mathrm e}^{3}}{x^{2} \left({\mathrm e}^{2} {\mathrm e}^{3}+x \,{\mathrm e}^{3}-5\right)}$&$37$\\ risch&$4 x +\frac{\left(4 \,{\mathrm e}^{10}-13 \,{\mathrm e}^{6}-40 \,{\mathrm e}^{5}+100\right) {\mathrm e}^{-3} x^{2}+16 \,{\mathrm e}^{3}}{x^{2} \left({\mathrm e}^{5}+x \,{\mathrm e}^{3}-5\right)}$&$44$\\ \hline \end{longtable}"," ",0,"1/x^2*(4*x^4-13*x^2+16)*exp(3)/(exp(2)*exp(3)+x*exp(3)-5)","A"
1493,1,16,15,0.610000," ","int(((30*x*exp(4)+30*x^3+30*x^2)*ln(exp(4)+x^2+x)^2+(60*x^3+30*x^2)*ln(exp(4)+x^2+x))/(exp(4)+x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$15 \ln \left({\mathrm e}^{4}+x^{2}+x \right)^{2} x^{2}$&$16$\\ risch&$15 \ln \left({\mathrm e}^{4}+x^{2}+x \right)^{2} x^{2}$&$16$\\ \hline \end{longtable}"," ",0,"15*ln(exp(4)+x^2+x)^2*x^2","A"
1494,1,14,16,0.016000," ","int(1/3*(4*x^2+24*x-3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{2 x^{2}}{3}+8 x -\ln \left(x \right)$&$14$\\ norman&$\frac{2 x^{2}}{3}+8 x -\ln \left(x \right)$&$14$\\ risch&$\frac{2 x^{2}}{3}+8 x -\ln \left(x \right)$&$14$\\ \hline \end{longtable}"," ",0,"2/3*x^2+8*x-ln(x)","A"
1495,1,29,25,0.036000," ","int(1/8*(32*x^3-48*x^2+16*x)*ln(2)^2+1/8*(96*x^5-140*x^4+48*x^3-12*x^2+8*x)*ln(2)+8*x^7-21/2*x^6+27/8*x^5-5/2*x^4+3/2*x^3+1/8*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(4 x^{3}+4 x \ln \left(2\right)-3 x^{2}-4 \ln \left(2\right)-1\right)^{2} x^{2}}{16}$&$29$\\ norman&$x^{8}+\left(\frac{9}{16}+2 \ln \left(2\right)\right) x^{6}+\left(-2 \ln \left(2\right)^{2}-\frac{\ln \left(2\right)}{2}\right) x^{3}+\left(-\frac{7 \ln \left(2\right)}{2}-\frac{1}{2}\right) x^{5}+\left(\ln \left(2\right)^{2}+\frac{\ln \left(2\right)}{2}+\frac{1}{16}\right) x^{2}+\left(\ln \left(2\right)^{2}+\frac{3 \ln \left(2\right)}{2}+\frac{3}{8}\right) x^{4}-\frac{3 x^{7}}{2}$&$73$\\ default&$\frac{\ln \left(2\right)^{2} \left(8 x^{4}-16 x^{3}+8 x^{2}\right)}{8}+\frac{\ln \left(2\right) \left(16 x^{6}-28 x^{5}+12 x^{4}-4 x^{3}+4 x^{2}\right)}{8}+x^{8}-\frac{3 x^{7}}{2}+\frac{9 x^{6}}{16}-\frac{x^{5}}{2}+\frac{3 x^{4}}{8}+\frac{x^{2}}{16}$&$82$\\ risch&$x^{4} \ln \left(2\right)^{2}-2 x^{3} \ln \left(2\right)^{2}+x^{2} \ln \left(2\right)^{2}+2 x^{6} \ln \left(2\right)-\frac{7 x^{5} \ln \left(2\right)}{2}+\frac{3 x^{4} \ln \left(2\right)}{2}-\frac{x^{3} \ln \left(2\right)}{2}+\frac{x^{2} \ln \left(2\right)}{2}+x^{8}-\frac{3 x^{7}}{2}+\frac{9 x^{6}}{16}-\frac{x^{5}}{2}+\frac{3 x^{4}}{8}+\frac{x^{2}}{16}$&$90$\\ \hline \end{longtable}"," ",0,"1/16*(4*x^3+4*x*ln(2)-3*x^2-4*ln(2)-1)^2*x^2","A"
1496,1,22,20,0.112000," ","int((((4*x*exp(x-1)*exp(x)-4*x*exp(x-1))*exp(exp(x-1))+4*x)*exp(exp(exp(x-1)))+4*exp(x))/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(x \right)+4 \left({\mathrm e}^{x}-1\right) {\mathrm e}^{-x +{\mathrm e}^{{\mathrm e}^{x -1}}}$&$22$\\ norman&$\left(4 \,{\mathrm e}^{-1} {\mathrm e} \,{\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x} {\mathrm e}^{-1}}}-4 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x} {\mathrm e}^{-1}}}\right) {\mathrm e}^{-x}+4 \ln \left(x \right)$&$40$\\ \hline \end{longtable}"," ",0,"4*ln(x)+4*(exp(x)-1)*exp(-x+exp(exp(x-1)))","A"
1497,1,13,19,0.013000," ","int(1/3*(-12*x-12)*exp(x)+2*x-1/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{3}+x^{2}-4 \,{\mathrm e}^{x} x$&$13$\\ norman&$-\frac{x}{3}+x^{2}-4 \,{\mathrm e}^{x} x$&$13$\\ risch&$-\frac{x}{3}+x^{2}-4 \,{\mathrm e}^{x} x$&$13$\\ \hline \end{longtable}"," ",0,"-1/3*x+x^2-4*exp(x)*x","A"
1498,1,35,20,0.172000," ","int((x*exp(1/16*x^2)^2+((-x-8)*exp(x)+5*x)*exp(1/16*x^2)+8*exp(x)^2-40*exp(x))/(4*exp(1/16*x^2)^2+(-8*exp(x)+40)*exp(1/16*x^2)+4*exp(x)^2-40*exp(x)+8*ln(2)+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{\frac{x^{2}}{8}}+\left(-2 \,{\mathrm e}^{x}+10\right) {\mathrm e}^{\frac{x^{2}}{16}}+{\mathrm e}^{2 x}+2 \ln \left(2\right)-10 \,{\mathrm e}^{x}+25\right)$&$35$\\ norman&$\ln \left(4 \,{\mathrm e}^{2 x}-8 \,{\mathrm e}^{x} {\mathrm e}^{\frac{x^{2}}{16}}+4 \,{\mathrm e}^{\frac{x^{2}}{8}}-40 \,{\mathrm e}^{x}+8 \ln \left(2\right)+40 \,{\mathrm e}^{\frac{x^{2}}{16}}+100\right)$&$46$\\ \hline \end{longtable}"," ",0,"ln(exp(1/8*x^2)+(-2*exp(x)+10)*exp(1/16*x^2)+exp(2*x)+2*ln(2)-10*exp(x)+25)","A"
1499,1,14,13,0.029000," ","int((16*ln(x)^2+216*ln(x)+741)/(16*ln(x)^2+216*ln(x)+729)/exp(3/(4*ln(x)+27)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-\frac{3}{4 \ln \left(x \right)+27}}$&$14$\\ norman&$\frac{\left(27 x +4 x \ln \left(x \right)\right) {\mathrm e}^{-\frac{3}{4 \ln \left(x \right)+27}}}{4 \ln \left(x \right)+27}$&$32$\\ \hline \end{longtable}"," ",0,"x*exp(-3/(4*ln(x)+27))","A"
1500,1,19,19,0.021000," ","int((-3*x^3+18*x^2-25*x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{3}+9 x^{2}-25 x -\ln \left(x \right)$&$19$\\ norman&$-x^{3}+9 x^{2}-25 x -\ln \left(x \right)$&$19$\\ risch&$-x^{3}+9 x^{2}-25 x -\ln \left(x \right)$&$19$\\ \hline \end{longtable}"," ",0,"-x^3+9*x^2-25*x-ln(x)","A"
1501,1,23,21,0.069000," ","int(((4*ln(2)^2-100*ln(2)-x+631)*exp(x)-4)/((4*ln(2)^2-100*ln(2)-x+630)*exp(x)-16*ln(2)^2+400*ln(2)+4*x-2520),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(-4 \ln \left(2\right)^{2}+100 \ln \left(2\right)+x -630\right)+\ln \left({\mathrm e}^{x}-4\right)$&$23$\\ norman&$-\ln \left(4 \ln \left(2\right)^{2}-100 \ln \left(2\right)-x +630\right)+\ln \left({\mathrm e}^{x}-4\right)$&$25$\\ \hline \end{longtable}"," ",0,"-ln(-4*ln(2)^2+100*ln(2)+x-630)+ln(exp(x)-4)","A"
1502,1,29,23,0.098000," ","int((ln(3)*ln(x*exp(exp(x)))+(-x*ln(3)+x^2)*exp(x)-5*ln(3)+x^2+2*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(3\right) \ln \left(x \,{\mathrm e}^{{\mathrm e}^{x}}\right)}{x}+\frac{4 \ln \left(3\right)}{x}+x +2 \ln \left(x \right)+{\mathrm e}^{x}$&$29$\\ risch&$-\frac{\ln \left(3\right) \ln \left({\mathrm e}^{{\mathrm e}^{x}}\right)}{x}+\frac{i \ln \left(3\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{x}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{x}}\right)-i \ln \left(3\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{x}}\right)^{2}-i \ln \left(3\right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{x}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{x}}\right)^{2}+i \ln \left(3\right) \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{x}}\right)^{3}+4 x \ln \left(x \right)-2 \ln \left(3\right) \ln \left(x \right)+2 x^{2}+2 \,{\mathrm e}^{x} x +8 \ln \left(3\right)}{2 x}$&$130$\\ \hline \end{longtable}"," ",0,"-ln(3)/x*ln(x*exp(exp(x)))+4*ln(3)/x+x+2*ln(x)+exp(x)","A"
1503,1,21,23,0.026000," ","int((3*exp(x)*x^3-30*exp(2/5)+12*x^3+3*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$12 x -\frac{3}{x}+\frac{15 \,{\mathrm e}^{\frac{2}{5}}}{x^{2}}+3 \,{\mathrm e}^{x}$&$21$\\ risch&$12 x +\frac{15 \,{\mathrm e}^{\frac{2}{5}}-3 x}{x^{2}}+3 \,{\mathrm e}^{x}$&$21$\\ norman&$\frac{-3 x +12 x^{3}+3 \,{\mathrm e}^{x} x^{2}+15 \,{\mathrm e}^{\frac{2}{5}}}{x^{2}}$&$25$\\ \hline \end{longtable}"," ",0,"12*x-3/x+15*exp(2/5)/x^2+3*exp(x)","A"
1504,1,36,24,0.222000," ","int(((x^5+x^4-13*x^3-8*x^2-4*x+16)*exp((x^3+8*x^2+x-32)/(x^2-4))-4*x^5+x^4+32*x^3-8*x^2-64*x+16)/(2*x^4-16*x^2+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+\frac{x}{2}+\frac{{\mathrm e}^{\frac{x^{3}+8 x^{2}+x -32}{\left(x -2\right) \left(2+x \right)}} x}{2}$&$36$\\ norman&$\frac{-2 x +\frac{x^{3}}{2}-x^{4}-2 \,{\mathrm e}^{\frac{x^{3}+8 x^{2}+x -32}{x^{2}-4}} x +\frac{{\mathrm e}^{\frac{x^{3}+8 x^{2}+x -32}{x^{2}-4}} x^{3}}{2}+16}{x^{2}-4}$&$72$\\ \hline \end{longtable}"," ",0,"-x^2+1/2*x+1/2*exp((x^3+8*x^2+x-32)/(x-2)/(2+x))*x","A"
1505,1,21,22,0.077000," ","int((-15*x*exp(exp(exp(x))+1)^2+(-x*exp(x)*exp(exp(x))-300*x-1)*exp(exp(exp(x))+1)-1500*x-10)*exp(1/(10*x*exp(exp(exp(x))+1)+100*x))^2/(5*x^5*exp(exp(exp(x))+1)^2+100*x^5*exp(exp(exp(x))+1)+500*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{1}{5 \left({\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}+1}+10\right) x}}}{x^{3}}$&$21$\\ \hline \end{longtable}"," ",0,"1/x^3*exp(1/5/(exp(exp(exp(x))+1)+10)/x)","A"
1506,1,48,33,0.044000," ","int(((x^9-5*x^8-4*x^7-x^6-11*x^5+13*x^4-6*x^3+9*x^2)*ln(x)^2+(-x^6+13*x^5-58*x^4+119*x^3-170*x^2+30*x-45)*ln(x)+x^5-11*x^4+40*x^3-56*x^2+39*x-45)/((x^9-6*x^8+11*x^7-12*x^6+19*x^5-6*x^4+9*x^3)*ln(x)^2+(-x^6+11*x^5-40*x^4+56*x^3-39*x^2+45*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(x \right)+x^{2}-3 \ln \left(x \right)-3 x +9}{x -3}+\ln \left(\ln \left(x \right)-\frac{x -5}{x^{2} \left(x^{2}+1\right)}\right)-\ln \left(\ln \left(x \right)\right)$&$48$\\ \hline \end{longtable}"," ",0,"(x*ln(x)+x^2-3*ln(x)-3*x+9)/(x-3)+ln(ln(x)-(x-5)/x^2/(x^2+1))-ln(ln(x))","A"
1507,1,733,26,0.779000," ","int(((-x^3-8*x^2-15*x)*ln(x^3+8*x^2+15*x)*ln(ln(x^3+8*x^2+15*x))*ln(ln(ln(x^3+8*x^2+15*x))/x)+((x^4+5*x^3-9*x^2-45*x)*exp(x)+x^3+4*x^2-17*x-60)*ln(x^3+8*x^2+15*x)*ln(ln(x^3+8*x^2+15*x))-3*x^3-4*x^2+49*x+60)/(x^3+8*x^2+15*x)/ln(x^3+8*x^2+15*x)/ln(ln(x^3+8*x^2+15*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(\ln \left(\ln \left(x \right)+\ln \left(x^{2}+8 x +15\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i \left(x^{2}+8 x +15\right)\right)\right)}{2}\right)\right)+x \ln \left(x \right)+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)+\ln \left(x^{2}+8 x +15\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i \left(x^{2}+8 x +15\right)\right)\right)}{2}\right)\right) \mathrm{csgn}\left(\frac{i \ln \left(\ln \left(x \right)+\ln \left(x^{2}+8 x +15\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i \left(x^{2}+8 x +15\right)\right)\right)}{2}\right)}{x}\right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(\ln \left(x \right)+\ln \left(x^{2}+8 x +15\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i \left(x^{2}+8 x +15\right)\right)\right)}{2}\right)}{x}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)+\ln \left(x^{2}+8 x +15\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i \left(x^{2}+8 x +15\right)\right)\right)}{2}\right)\right) \mathrm{csgn}\left(\frac{i \ln \left(\ln \left(x \right)+\ln \left(x^{2}+8 x +15\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i \left(x^{2}+8 x +15\right)\right)\right)}{2}\right)}{x}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \ln \left(\ln \left(x \right)+\ln \left(x^{2}+8 x +15\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i \left(x^{2}+8 x +15\right)\right)\right)}{2}\right)}{x}\right)^{3}}{2}-4 \ln \left(x \right)+{\mathrm e}^{x} x -4 \,{\mathrm e}^{x}+4 \ln \left(\ln \left(\ln \left(x \right)+\ln \left(x^{2}+8 x +15\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+8 x +15\right)\right)+\mathrm{csgn}\left(i \left(x^{2}+8 x +15\right)\right)\right)}{2}\right)\right)$&$733$\\ \hline \end{longtable}"," ",0,"-x*ln(ln(ln(x)+ln(x^2+8*x+15)-1/2*I*Pi*csgn(I*x*(x^2+8*x+15))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*x))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*(x^2+8*x+15)))))+x*ln(x)+1/2*I*Pi*x*csgn(I/x)*csgn(I*ln(ln(x)+ln(x^2+8*x+15)-1/2*I*Pi*csgn(I*x*(x^2+8*x+15))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*x))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*(x^2+8*x+15)))))*csgn(I/x*ln(ln(x)+ln(x^2+8*x+15)-1/2*I*Pi*csgn(I*x*(x^2+8*x+15))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*x))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*(x^2+8*x+15)))))-1/2*I*Pi*x*csgn(I/x)*csgn(I/x*ln(ln(x)+ln(x^2+8*x+15)-1/2*I*Pi*csgn(I*x*(x^2+8*x+15))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*x))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*(x^2+8*x+15)))))^2-1/2*I*Pi*x*csgn(I*ln(ln(x)+ln(x^2+8*x+15)-1/2*I*Pi*csgn(I*x*(x^2+8*x+15))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*x))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*(x^2+8*x+15)))))*csgn(I/x*ln(ln(x)+ln(x^2+8*x+15)-1/2*I*Pi*csgn(I*x*(x^2+8*x+15))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*x))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*(x^2+8*x+15)))))^2+1/2*I*Pi*x*csgn(I/x*ln(ln(x)+ln(x^2+8*x+15)-1/2*I*Pi*csgn(I*x*(x^2+8*x+15))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*x))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*(x^2+8*x+15)))))^3-4*ln(x)+exp(x)*x-4*exp(x)+4*ln(ln(ln(x)+ln(x^2+8*x+15)-1/2*I*Pi*csgn(I*x*(x^2+8*x+15))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*x))*(-csgn(I*x*(x^2+8*x+15))+csgn(I*(x^2+8*x+15)))))","C"
1508,1,20,20,0.135000," ","int(((250*x^2-250)*exp(ln(x^2)-x^2-26/5)-25*x)/(25*x*exp(ln(x^2)-x^2-26/5)^2+10*x^2*exp(ln(x^2)-x^2-26/5)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25}{5 x^{2} {\mathrm e}^{-\frac{26}{5}-x^{2}}+x}$&$20$\\ default&$\frac{25}{5 \,{\mathrm e}^{\ln \left(x^{2}\right)-x^{2}-\frac{26}{5}}+x}$&$21$\\ norman&$\frac{25}{5 \,{\mathrm e}^{\ln \left(x^{2}\right)-x^{2}-\frac{26}{5}}+x}$&$21$\\ \hline \end{longtable}"," ",0,"25/(5*x^2*exp(-26/5-x^2)+x)","A"
1509,1,37,20,0.243000," ","int((-32*ln(2*exp(5)+2*x+1)^3+(-16*exp(5)-16*x-8)*ln(2*exp(5)+2*x+1)^2-32*x*ln(2*exp(5)+2*x+1)+(-16*x+2)*exp(5)-16*x^2-6*x+1)/(2*exp(5)+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -4 x^{2}-4 \ln \left(2 \,{\mathrm e}^{5}+2 x +1\right)^{4}-8 \ln \left(2 \,{\mathrm e}^{5}+2 x +1\right)^{2} x$&$37$\\ risch&$x -4 x^{2}-4 \ln \left(2 \,{\mathrm e}^{5}+2 x +1\right)^{4}-8 \ln \left(2 \,{\mathrm e}^{5}+2 x +1\right)^{2} x$&$37$\\ derivativedivides&$-4 \ln \left(2 \,{\mathrm e}^{5}+2 x +1\right)^{4}-4 \ln \left(2 \,{\mathrm e}^{5}+2 x +1\right)^{2} \left(2 \,{\mathrm e}^{5}+2 x +1\right)+5 \,{\mathrm e}^{5}+5 x +\frac{5}{2}+8 \ln \left(2 \,{\mathrm e}^{5}+2 x +1\right)^{2} {\mathrm e}^{5}+4 \,{\mathrm e}^{5} \left(2 \,{\mathrm e}^{5}+2 x +1\right)-\left(2 \,{\mathrm e}^{5}+2 x +1\right)^{2}+4 \ln \left(2 \,{\mathrm e}^{5}+2 x +1\right)^{2}$&$103$\\ default&$-4 \ln \left(2 \,{\mathrm e}^{5}+2 x +1\right)^{4}-4 \ln \left(2 \,{\mathrm e}^{5}+2 x +1\right)^{2} \left(2 \,{\mathrm e}^{5}+2 x +1\right)+5 \,{\mathrm e}^{5}+5 x +\frac{5}{2}+8 \ln \left(2 \,{\mathrm e}^{5}+2 x +1\right)^{2} {\mathrm e}^{5}+4 \,{\mathrm e}^{5} \left(2 \,{\mathrm e}^{5}+2 x +1\right)-\left(2 \,{\mathrm e}^{5}+2 x +1\right)^{2}+4 \ln \left(2 \,{\mathrm e}^{5}+2 x +1\right)^{2}$&$103$\\ \hline \end{longtable}"," ",0,"x-4*x^2-4*ln(2*exp(5)+2*x+1)^4-8*ln(2*exp(5)+2*x+1)^2*x","A"
1510,1,69,25,0.030000," ","int((((-4*x^3-30*x^2-56*x)*ln(x)-2*x^2-16*x-32)*ln(ln(x))^2+((-16*x^3-120*x^2-224*x)*ln(x)-6*x^2-48*x-96)*ln(ln(x))+(-16*x^3-120*x^2-224*x)*ln(x)-4*x^2-32*x-64)/x/exp(2*x+4)^2/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2}+8 x +16\right) {\mathrm e}^{-4 x -8} \ln \left(\ln \left(x \right)\right)^{2}}{\ln \left(x \right)^{2}}+\frac{4 \left(x^{2}+8 x +16\right) {\mathrm e}^{-4 x -8} \ln \left(\ln \left(x \right)\right)}{\ln \left(x \right)^{2}}+\frac{4 \left(x^{2}+8 x +16\right) {\mathrm e}^{-4 x -8}}{\ln \left(x \right)^{2}}$&$69$\\ \hline \end{longtable}"," ",0,"(x^2+8*x+16)*exp(-4*x-8)/ln(x)^2*ln(ln(x))^2+4*(x^2+8*x+16)*exp(-4*x-8)/ln(x)^2*ln(ln(x))+4*(x^2+8*x+16)*exp(-4*x-8)/ln(x)^2","B"
1511,1,1460,27,0.567000," ","int((((2*x^3-2*x^2+x-1)*exp(x^2)+2*(x-1)*ln(2))*ln(-x^2+x)^2+((4*x-2)*exp(x^2)+2*(4*x-2)*ln(2))*ln(-x^2+x))/((x-1)*ln(3)+10*x-10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(2 \ln \left(2\right)+{\mathrm e}^{x^{2}}\right) \ln \left(x -1\right)^{2}}{10+\ln \left(3\right)}+\frac{x \left(4 i \pi  \ln \left(2\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} {\mathrm e}^{x^{2}}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right) {\mathrm e}^{x^{2}}+2 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}+2 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}+i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} {\mathrm e}^{x^{2}}+2 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}+2 i \pi  \,{\mathrm e}^{x^{2}}-2 i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} {\mathrm e}^{x^{2}}-2 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} {\mathrm e}^{x^{2}}-4 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}+4 \ln \left(2\right) \ln \left(x \right)+2 \,{\mathrm e}^{x^{2}} \ln \left(x \right)\right) \ln \left(x -1\right)}{10+\ln \left(3\right)}+\frac{x \left(8 \ln \left(2\right) \ln \left(x \right)^{2}+8 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4}+4 \pi^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4} {\mathrm e}^{x^{2}}+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4} {\mathrm e}^{x^{2}}+16 i \pi  \ln \left(2\right) \ln \left(x \right)+8 i \pi  \,{\mathrm e}^{x^{2}} \ln \left(x \right)-\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4} {\mathrm e}^{x^{2}}-2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{5} {\mathrm e}^{x^{2}}-\pi^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4} {\mathrm e}^{x^{2}}-2 \pi^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{5} {\mathrm e}^{x^{2}}-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} {\mathrm e}^{x^{2}}-8 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}-8 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}-4 \pi^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} {\mathrm e}^{x^{2}}-2 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4}-4 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{5}-2 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4}-4 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{5}+8 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4}-4 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right) {\mathrm e}^{x^{2}} \ln \left(x \right)-8 \pi^{2} \ln \left(2\right)+4 \,{\mathrm e}^{x^{2}} \ln \left(x \right)^{2}-4 \pi^{2} {\mathrm e}^{x^{2}}+8 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \ln \left(x \right)-8 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} {\mathrm e}^{x^{2}}+8 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} \ln \left(x \right)+4 i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} {\mathrm e}^{x^{2}} \ln \left(x \right)+8 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)-2 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}+4 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}+4 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right) {\mathrm e}^{x^{2}}-\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} {\mathrm e}^{x^{2}}+2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} {\mathrm e}^{x^{2}}+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} {\mathrm e}^{x^{2}}-16 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \ln \left(x \right)-8 i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} {\mathrm e}^{x^{2}} \ln \left(x \right)+16 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}+8 \pi^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} {\mathrm e}^{x^{2}}-8 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}-2 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{6}-8 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4}+8 \pi^{2} \ln \left(2\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{5}-4 \pi^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} {\mathrm e}^{x^{2}}-\pi^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{6} {\mathrm e}^{x^{2}}-4 \pi^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4} {\mathrm e}^{x^{2}}+4 \pi^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{5} {\mathrm e}^{x^{2}}-8 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right) \ln \left(x \right)+4 i \pi  \,\mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} {\mathrm e}^{x^{2}} \ln \left(x \right)+4 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} {\mathrm e}^{x^{2}} \ln \left(x \right)+8 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \ln \left(x \right)\right)}{40+4 \ln \left(3\right)}$&$1460$\\ \hline \end{longtable}"," ",0,"x*(2*ln(2)+exp(x^2))/(10+ln(3))*ln(x-1)^2+x*(4*I*Pi*ln(2)+I*Pi*csgn(I*x)*csgn(I*x*(x-1))^2*exp(x^2)-I*Pi*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))*exp(x^2)+2*I*Pi*ln(2)*csgn(I*x)*csgn(I*x*(x-1))^2+2*I*Pi*ln(2)*csgn(I*x*(x-1))^3+I*Pi*csgn(I*x*(x-1))^3*exp(x^2)+2*I*Pi*ln(2)*csgn(I*(x-1))*csgn(I*x*(x-1))^2+2*I*Pi*exp(x^2)-2*I*Pi*csgn(I*x*(x-1))^2*exp(x^2)-2*I*Pi*ln(2)*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))+I*Pi*csgn(I*(x-1))*csgn(I*x*(x-1))^2*exp(x^2)-4*I*Pi*ln(2)*csgn(I*x*(x-1))^2+4*ln(2)*ln(x)+2*exp(x^2)*ln(x))/(10+ln(3))*ln(x-1)+1/4*x*(8*ln(2)*ln(x)^2-Pi^2*csgn(I*x)^2*csgn(I*x*(x-1))^4*exp(x^2)-2*Pi^2*csgn(I*x)*csgn(I*x*(x-1))^5*exp(x^2)-Pi^2*csgn(I*(x-1))^2*csgn(I*x*(x-1))^4*exp(x^2)-2*Pi^2*csgn(I*(x-1))*csgn(I*x*(x-1))^5*exp(x^2)-4*Pi^2*csgn(I*x)*csgn(I*x*(x-1))^2*exp(x^2)-8*Pi^2*ln(2)*csgn(I*x)*csgn(I*x*(x-1))^2-8*Pi^2*ln(2)*csgn(I*(x-1))*csgn(I*x*(x-1))^2-4*Pi^2*csgn(I*(x-1))*csgn(I*x*(x-1))^2*exp(x^2)-2*Pi^2*ln(2)*csgn(I*x)^2*csgn(I*x*(x-1))^4-4*Pi^2*ln(2)*csgn(I*x)*csgn(I*x*(x-1))^5-2*Pi^2*ln(2)*csgn(I*(x-1))^2*csgn(I*x*(x-1))^4-4*Pi^2*ln(2)*csgn(I*(x-1))*csgn(I*x*(x-1))^5-8*Pi^2*ln(2)+4*exp(x^2)*ln(x)^2-4*Pi^2*exp(x^2)-8*Pi^2*ln(2)*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))^3-4*Pi^2*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))^3*exp(x^2)+16*Pi^2*ln(2)*csgn(I*x*(x-1))^2+8*Pi^2*csgn(I*x*(x-1))^2*exp(x^2)+8*I*Pi*ln(2)*csgn(I*x)*csgn(I*x*(x-1))^2*ln(x)+4*I*Pi*csgn(I*x)*csgn(I*x*(x-1))^2*exp(x^2)*ln(x)-8*I*Pi*ln(2)*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))*ln(x)+8*I*Pi*ln(2)*csgn(I*x*(x-1))^3*ln(x)+4*I*Pi*csgn(I*x*(x-1))^3*exp(x^2)*ln(x)-4*I*Pi*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))*exp(x^2)*ln(x)+8*Pi^2*ln(2)*csgn(I*(x-1))*csgn(I*x*(x-1))^4+8*Pi^2*ln(2)*csgn(I*x)*csgn(I*x*(x-1))^4+4*Pi^2*csgn(I*(x-1))*csgn(I*x*(x-1))^4*exp(x^2)+4*Pi^2*csgn(I*x)*csgn(I*x*(x-1))^4*exp(x^2)-8*Pi^2*ln(2)*csgn(I*x*(x-1))^3-2*Pi^2*ln(2)*csgn(I*x*(x-1))^6-8*Pi^2*ln(2)*csgn(I*x*(x-1))^4+8*Pi^2*ln(2)*csgn(I*x*(x-1))^5-4*Pi^2*csgn(I*x*(x-1))^3*exp(x^2)-Pi^2*csgn(I*x*(x-1))^6*exp(x^2)-4*Pi^2*csgn(I*x*(x-1))^4*exp(x^2)+4*Pi^2*csgn(I*x*(x-1))^5*exp(x^2)+8*Pi^2*ln(2)*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))-2*Pi^2*ln(2)*csgn(I*x)^2*csgn(I*(x-1))^2*csgn(I*x*(x-1))^2+4*Pi^2*ln(2)*csgn(I*x)^2*csgn(I*(x-1))*csgn(I*x*(x-1))^3+4*Pi^2*ln(2)*csgn(I*x)*csgn(I*(x-1))^2*csgn(I*x*(x-1))^3+4*Pi^2*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))*exp(x^2)-Pi^2*csgn(I*x)^2*csgn(I*(x-1))^2*csgn(I*x*(x-1))^2*exp(x^2)+2*Pi^2*csgn(I*x)^2*csgn(I*(x-1))*csgn(I*x*(x-1))^3*exp(x^2)+8*I*Pi*ln(2)*csgn(I*(x-1))*csgn(I*x*(x-1))^2*ln(x)+4*I*Pi*csgn(I*(x-1))*csgn(I*x*(x-1))^2*exp(x^2)*ln(x)+2*Pi^2*csgn(I*x)*csgn(I*(x-1))^2*csgn(I*x*(x-1))^3*exp(x^2)-16*I*Pi*ln(2)*csgn(I*x*(x-1))^2*ln(x)-8*I*Pi*csgn(I*x*(x-1))^2*exp(x^2)*ln(x)+16*I*Pi*ln(2)*ln(x)+8*I*Pi*exp(x^2)*ln(x))/(10+ln(3))","C"
1512,1,19,26,0.266000," ","int(((10*ln(2)-20*x)*exp(5/(x*ln(2)-x^2))^2+x^2*ln(2)^2-2*x^3*ln(2)+x^4)/(x^2*ln(2)^2-2*x^3*ln(2)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{10}{x \left(\ln \left(2\right)-x \right)}}+x$&$19$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{10}{x \ln \left(2\right)-x^{2}}}+x \ln \left(2\right)^{2}-x^{3}-x \ln \left(2\right) {\mathrm e}^{\frac{10}{x \ln \left(2\right)-x^{2}}}}{\left(\ln \left(2\right)-x \right) x}$&$68$\\ \hline \end{longtable}"," ",0,"-exp(10/x/(ln(2)-x))+x","A"
1513,1,35,34,0.236000," ","int((256*x^6-3584*x^5-75776*x^4-838656*x^3-5963520*x^2-14876160*x+14876160)/(x^10-36*x^9-160*x^8+3128*x^7+118070*x^6+1973216*x^5+19810676*x^4+142613992*x^3+744859249*x^2+2382858660*x+3376772100)/exp(5+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{256 x \,{\mathrm e}^{-x -5}}{x^{5}-18 x^{4}-242 x^{3}-2792 x^{2}-20503 x -58110}$&$35$\\ norman&$-\frac{256 x \,{\mathrm e}^{-x -5}}{x^{5}-18 x^{4}-242 x^{3}-2792 x^{2}-20503 x -58110}$&$35$\\ risch&$-\frac{256 x \,{\mathrm e}^{-x -5}}{x^{5}-18 x^{4}-242 x^{3}-2792 x^{2}-20503 x -58110}$&$35$\\ derivativedivides&$-\frac{{\mathrm e}^{-x -5} \left(26457342630019 \left(5+x \right)^{4}-467179992899779 \left(5+x \right)^{3}+1958522171028850 \left(5+x \right)^{2}-2406902346252940-1670328791810852 x \right)}{59168734590373 \left(\left(5+x \right)^{5}-43 \left(5+x \right)^{4}+368 \left(5+x \right)^{3}-3112 \left(5+x \right)^{2}-2560+1392 x \right)}+\frac{\left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{4}-8 \textit{\_Z}^{3}+88 \textit{\_Z}^{2}-32 \textit{\_Z} +272\right)}{\sum}\frac{\left(10051224426811936963 \textit{\_R1}^{3}-18285891617927697815 \textit{\_R1}^{2}+34052872945814255368 \textit{\_R1} -61833367561959505900\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, 5+x -\textit{\_R1} \right)}{\textit{\_R1}^{3}-6 \textit{\_R1}^{2}+44 \textit{\_R1} -8}\right)}{299293683528360468884}+\frac{3135 \,{\mathrm e}^{-x -5} \left(15736448349 \left(5+x \right)^{4}-699186305165 \left(5+x \right)^{3}+6694864914718 \left(5+x \right)^{2}-224817712270196-53801779157404 x \right)}{236674938361492 \left(\left(5+x \right)^{5}-43 \left(5+x \right)^{4}+368 \left(5+x \right)^{3}-3112 \left(5+x \right)^{2}-2560+1392 x \right)}-\frac{3135 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{4}-8 \textit{\_Z}^{3}+88 \textit{\_Z}^{2}-32 \textit{\_Z} +272\right)}{\sum}\frac{\left(19900896954526237 \textit{\_R1}^{3}-167751146659931449 \textit{\_R1}^{2}+1682313368734270232 \textit{\_R1} +372085206843856556\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, 5+x -\textit{\_R1} \right)}{\textit{\_R1}^{3}-6 \textit{\_R1}^{2}+44 \textit{\_R1} -8}\right)}{1197174734113441875536}-\frac{915 \,{\mathrm e}^{-x -5} \left(11259513079 \left(5+x \right)^{4}-451925961143 \left(5+x \right)^{3}+2414975947658 \left(5+x \right)^{2}-130620612678780-11143023707508 x \right)}{118337469180746 \left(\left(5+x \right)^{5}-43 \left(5+x \right)^{4}+368 \left(5+x \right)^{3}-3112 \left(5+x \right)^{2}-2560+1392 x \right)}+\frac{915 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{4}-8 \textit{\_Z}^{3}+88 \textit{\_Z}^{2}-32 \textit{\_Z} +272\right)}{\sum}\frac{\left(14222344132124471 \textit{\_R1}^{3}-59345193158847547 \textit{\_R1}^{2}+444683752509520712 \textit{\_R1} +1908188231637632292\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, 5+x -\textit{\_R1} \right)}{\textit{\_R1}^{3}-6 \textit{\_R1}^{2}+44 \textit{\_R1} -8}\right)}{598587367056720937768}-\frac{520 \,{\mathrm e}^{-x -5} \left(16116550627 \left(5+x \right)^{4}-864262432707 \left(5+x \right)^{3}+11948290497170 \left(5+x \right)^{2}-172851558611980-45289368173604 x \right)}{59168734590373 \left(\left(5+x \right)^{5}-43 \left(5+x \right)^{4}+368 \left(5+x \right)^{3}-3112 \left(5+x \right)^{2}-2560+1392 x \right)}+\frac{130 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{4}-8 \textit{\_Z}^{3}+88 \textit{\_Z}^{2}-32 \textit{\_Z} +272\right)}{\sum}\frac{\left(20104227034695459 \textit{\_R1}^{3}-366686691248384535 \textit{\_R1}^{2}+941690482768058824 \textit{\_R1} -3287487574324790508\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, 5+x -\textit{\_R1} \right)}{\textit{\_R1}^{3}-6 \textit{\_R1}^{2}+44 \textit{\_R1} -8}\right)}{74823420882090117221}-\frac{839 \,{\mathrm e}^{-x -5} \left(85625377873 \left(5+x \right)^{4}-3008699933217 \left(5+x \right)^{3}-2432668688810 \left(5+x \right)^{2}-154617390442660-15580521891628 x \right)}{118337469180746 \left(\left(5+x \right)^{5}-43 \left(5+x \right)^{4}+368 \left(5+x \right)^{3}-3112 \left(5+x \right)^{2}-2560+1392 x \right)}+\frac{839 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{4}-8 \textit{\_Z}^{3}+88 \textit{\_Z}^{2}-32 \textit{\_Z} +272\right)}{\sum}\frac{\left(112999361987759121 \textit{\_R1}^{3}+220768989492284547 \textit{\_R1}^{2}+2112501387415257560 \textit{\_R1} +1766867680363085820\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, 5+x -\textit{\_R1} \right)}{\textit{\_R1}^{3}-6 \textit{\_R1}^{2}+44 \textit{\_R1} -8}\right)}{598587367056720937768}+\frac{429 \,{\mathrm e}^{-x -5} \left(336595657661 \left(5+x \right)^{4}-16971403873037 \left(5+x \right)^{3}+125442827024574 \left(5+x \right)^{2}-82186468783860-97952653491868 x \right)}{236674938361492 \left(\left(5+x \right)^{5}-43 \left(5+x \right)^{4}+368 \left(5+x \right)^{3}-3112 \left(5+x \right)^{2}-2560+1392 x \right)}-\frac{429 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{4}-8 \textit{\_Z}^{3}+88 \textit{\_Z}^{2}-32 \textit{\_Z} +272\right)}{\sum}\frac{\left(506187761381430397 \textit{\_R1}^{3}-3963717295453120057 \textit{\_R1}^{2}+2368936825845519576 \textit{\_R1} -16737830962654662228\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, 5+x -\textit{\_R1} \right)}{\textit{\_R1}^{3}-6 \textit{\_R1}^{2}+44 \textit{\_R1} -8}\right)}{1197174734113441875536}+\frac{22 \,{\mathrm e}^{-x -5} \left(1248895296807 \left(5+x \right)^{4}-787812502663 \left(5+x \right)^{3}-474766516574582 \left(5+x \right)^{2}-1449784438494780+30482178394316 x \right)}{59168734590373 \left(\left(5+x \right)^{5}-43 \left(5+x \right)^{4}+368 \left(5+x \right)^{3}-3112 \left(5+x \right)^{2}-2560+1392 x \right)}-\frac{11 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{4}-8 \textit{\_Z}^{3}+88 \textit{\_Z}^{2}-32 \textit{\_Z} +272\right)}{\sum}\frac{\left(205882358313505639 \textit{\_R1}^{3}+18776492513037334453 \textit{\_R1}^{2}+1853977066436129416 \textit{\_R1} +61199126888932756964\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, 5+x -\textit{\_R1} \right)}{\textit{\_R1}^{3}-6 \textit{\_R1}^{2}+44 \textit{\_R1} -8}\right)}{149646841764180234442}$&$940$\\ default&$-\frac{{\mathrm e}^{-x -5} \left(26457342630019 \left(5+x \right)^{4}-467179992899779 \left(5+x \right)^{3}+1958522171028850 \left(5+x \right)^{2}-2406902346252940-1670328791810852 x \right)}{59168734590373 \left(\left(5+x \right)^{5}-43 \left(5+x \right)^{4}+368 \left(5+x \right)^{3}-3112 \left(5+x \right)^{2}-2560+1392 x \right)}+\frac{\left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{4}-8 \textit{\_Z}^{3}+88 \textit{\_Z}^{2}-32 \textit{\_Z} +272\right)}{\sum}\frac{\left(10051224426811936963 \textit{\_R1}^{3}-18285891617927697815 \textit{\_R1}^{2}+34052872945814255368 \textit{\_R1} -61833367561959505900\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, 5+x -\textit{\_R1} \right)}{\textit{\_R1}^{3}-6 \textit{\_R1}^{2}+44 \textit{\_R1} -8}\right)}{299293683528360468884}+\frac{3135 \,{\mathrm e}^{-x -5} \left(15736448349 \left(5+x \right)^{4}-699186305165 \left(5+x \right)^{3}+6694864914718 \left(5+x \right)^{2}-224817712270196-53801779157404 x \right)}{236674938361492 \left(\left(5+x \right)^{5}-43 \left(5+x \right)^{4}+368 \left(5+x \right)^{3}-3112 \left(5+x \right)^{2}-2560+1392 x \right)}-\frac{3135 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{4}-8 \textit{\_Z}^{3}+88 \textit{\_Z}^{2}-32 \textit{\_Z} +272\right)}{\sum}\frac{\left(19900896954526237 \textit{\_R1}^{3}-167751146659931449 \textit{\_R1}^{2}+1682313368734270232 \textit{\_R1} +372085206843856556\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, 5+x -\textit{\_R1} \right)}{\textit{\_R1}^{3}-6 \textit{\_R1}^{2}+44 \textit{\_R1} -8}\right)}{1197174734113441875536}-\frac{915 \,{\mathrm e}^{-x -5} \left(11259513079 \left(5+x \right)^{4}-451925961143 \left(5+x \right)^{3}+2414975947658 \left(5+x \right)^{2}-130620612678780-11143023707508 x \right)}{118337469180746 \left(\left(5+x \right)^{5}-43 \left(5+x \right)^{4}+368 \left(5+x \right)^{3}-3112 \left(5+x \right)^{2}-2560+1392 x \right)}+\frac{915 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{4}-8 \textit{\_Z}^{3}+88 \textit{\_Z}^{2}-32 \textit{\_Z} +272\right)}{\sum}\frac{\left(14222344132124471 \textit{\_R1}^{3}-59345193158847547 \textit{\_R1}^{2}+444683752509520712 \textit{\_R1} +1908188231637632292\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, 5+x -\textit{\_R1} \right)}{\textit{\_R1}^{3}-6 \textit{\_R1}^{2}+44 \textit{\_R1} -8}\right)}{598587367056720937768}-\frac{520 \,{\mathrm e}^{-x -5} \left(16116550627 \left(5+x \right)^{4}-864262432707 \left(5+x \right)^{3}+11948290497170 \left(5+x \right)^{2}-172851558611980-45289368173604 x \right)}{59168734590373 \left(\left(5+x \right)^{5}-43 \left(5+x \right)^{4}+368 \left(5+x \right)^{3}-3112 \left(5+x \right)^{2}-2560+1392 x \right)}+\frac{130 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{4}-8 \textit{\_Z}^{3}+88 \textit{\_Z}^{2}-32 \textit{\_Z} +272\right)}{\sum}\frac{\left(20104227034695459 \textit{\_R1}^{3}-366686691248384535 \textit{\_R1}^{2}+941690482768058824 \textit{\_R1} -3287487574324790508\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, 5+x -\textit{\_R1} \right)}{\textit{\_R1}^{3}-6 \textit{\_R1}^{2}+44 \textit{\_R1} -8}\right)}{74823420882090117221}-\frac{839 \,{\mathrm e}^{-x -5} \left(85625377873 \left(5+x \right)^{4}-3008699933217 \left(5+x \right)^{3}-2432668688810 \left(5+x \right)^{2}-154617390442660-15580521891628 x \right)}{118337469180746 \left(\left(5+x \right)^{5}-43 \left(5+x \right)^{4}+368 \left(5+x \right)^{3}-3112 \left(5+x \right)^{2}-2560+1392 x \right)}+\frac{839 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{4}-8 \textit{\_Z}^{3}+88 \textit{\_Z}^{2}-32 \textit{\_Z} +272\right)}{\sum}\frac{\left(112999361987759121 \textit{\_R1}^{3}+220768989492284547 \textit{\_R1}^{2}+2112501387415257560 \textit{\_R1} +1766867680363085820\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, 5+x -\textit{\_R1} \right)}{\textit{\_R1}^{3}-6 \textit{\_R1}^{2}+44 \textit{\_R1} -8}\right)}{598587367056720937768}+\frac{429 \,{\mathrm e}^{-x -5} \left(336595657661 \left(5+x \right)^{4}-16971403873037 \left(5+x \right)^{3}+125442827024574 \left(5+x \right)^{2}-82186468783860-97952653491868 x \right)}{236674938361492 \left(\left(5+x \right)^{5}-43 \left(5+x \right)^{4}+368 \left(5+x \right)^{3}-3112 \left(5+x \right)^{2}-2560+1392 x \right)}-\frac{429 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{4}-8 \textit{\_Z}^{3}+88 \textit{\_Z}^{2}-32 \textit{\_Z} +272\right)}{\sum}\frac{\left(506187761381430397 \textit{\_R1}^{3}-3963717295453120057 \textit{\_R1}^{2}+2368936825845519576 \textit{\_R1} -16737830962654662228\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, 5+x -\textit{\_R1} \right)}{\textit{\_R1}^{3}-6 \textit{\_R1}^{2}+44 \textit{\_R1} -8}\right)}{1197174734113441875536}+\frac{22 \,{\mathrm e}^{-x -5} \left(1248895296807 \left(5+x \right)^{4}-787812502663 \left(5+x \right)^{3}-474766516574582 \left(5+x \right)^{2}-1449784438494780+30482178394316 x \right)}{59168734590373 \left(\left(5+x \right)^{5}-43 \left(5+x \right)^{4}+368 \left(5+x \right)^{3}-3112 \left(5+x \right)^{2}-2560+1392 x \right)}-\frac{11 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{4}-8 \textit{\_Z}^{3}+88 \textit{\_Z}^{2}-32 \textit{\_Z} +272\right)}{\sum}\frac{\left(205882358313505639 \textit{\_R1}^{3}+18776492513037334453 \textit{\_R1}^{2}+1853977066436129416 \textit{\_R1} +61199126888932756964\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, 5+x -\textit{\_R1} \right)}{\textit{\_R1}^{3}-6 \textit{\_R1}^{2}+44 \textit{\_R1} -8}\right)}{149646841764180234442}$&$940$\\ \hline \end{longtable}"," ",0,"-256*x/exp(5+x)/(x^5-18*x^4-242*x^3-2792*x^2-20503*x-58110)","A"
1514,1,86,21,0.439000," ","int(((-2*x*ln(x)*ln(ln(x)^2)+2*ln(x)-2*x)*exp(-x^2*ln(ln(x)^2)+2*x+10)-ln(x))/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\ln \left(x \right)^{-2 x^{2}} {\mathrm e}^{2 x +10} {\mathrm e}^{\frac{i x^{2} \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}}{2}} {\mathrm e}^{-i x^{2} \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)} {\mathrm e}^{\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2}}{2}}$&$86$\\ \hline \end{longtable}"," ",0,"-x+ln(x)^(-2*x^2)*exp(2*x+10)*exp(1/2*I*x^2*Pi*csgn(I*ln(x)^2)^3)*exp(-I*x^2*Pi*csgn(I*ln(x)^2)^2*csgn(I*ln(x)))*exp(1/2*I*x^2*Pi*csgn(I*ln(x)^2)*csgn(I*ln(x))^2)","C"
1515,1,26,32,0.021000," ","int((4*x^3+15*x^2-12*x-27)*ln(ln(3))+8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(3\right)\right) \left(x^{4}+5 x^{3}-6 x^{2}-27 x \right)+8 x$&$26$\\ gosper&$x \left(x^{3} \ln \left(\ln \left(3\right)\right)+5 x^{2} \ln \left(\ln \left(3\right)\right)-6 \ln \left(\ln \left(3\right)\right) x -27 \ln \left(\ln \left(3\right)\right)+8\right)$&$31$\\ norman&$\ln \left(\ln \left(3\right)\right) x^{4}+5 x^{3} \ln \left(\ln \left(3\right)\right)-6 x^{2} \ln \left(\ln \left(3\right)\right)+\left(-27 \ln \left(\ln \left(3\right)\right)+8\right) x$&$34$\\ risch&$\ln \left(\ln \left(3\right)\right) x^{4}+5 x^{3} \ln \left(\ln \left(3\right)\right)-6 x^{2} \ln \left(\ln \left(3\right)\right)-27 \ln \left(\ln \left(3\right)\right) x +8 x$&$34$\\ \hline \end{longtable}"," ",0,"ln(ln(3))*(x^4+5*x^3-6*x^2-27*x)+8*x","A"
1516,1,34,30,0.044000," ","int(((2+x)*ln(x^2+2*x)^2+(12*x+20)*ln(x^2+2*x)-2*x^2+32*x+56)/((x^2+2*x)*ln(x^2+2*x)^2+(8*x^2+16*x)*ln(x^2+2*x)-x^3+18*x^2+45*x+10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(-\ln \left(x^{2}+2 x \right)^{2} x +x^{2}-8 \ln \left(x^{2}+2 x \right) x -20 x -5\right)$&$34$\\ risch&$\ln \left(x \right)+\ln \left(\ln \left(x^{2}+2 x \right)^{2}+8 \ln \left(x^{2}+2 x \right)-\frac{x^{2}-20 x -5}{x}\right)$&$39$\\ \hline \end{longtable}"," ",0,"ln(-ln(x^2+2*x)^2*x+x^2-8*ln(x^2+2*x)*x-20*x-5)","A"
1517,1,48,28,0.148000," ","int((((-120*x^3+2*x)*exp(60*x^2)-x^2*exp(4))*ln(x)+(120*x*exp(3)-120*x^3+3*x)*exp(60*x^2)+(-exp(3)-2*x^2)*exp(4))/(exp(60*x^2)^2-2*x*exp(4)*exp(60*x^2)+x^2*exp(4)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2} \ln \left(x \right)}{x \,{\mathrm e}^{4}-{\mathrm e}^{60 x^{2}}}+\frac{{\mathrm e}^{3}-x^{2}}{x \,{\mathrm e}^{4}-{\mathrm e}^{60 x^{2}}}$&$48$\\ \hline \end{longtable}"," ",0,"-x^2/(x*exp(4)-exp(60*x^2))*ln(x)+(exp(3)-x^2)/(x*exp(4)-exp(60*x^2))","A"
1518,1,132,33,0.526000," ","int((((1-x)*exp(5)^2*ln(2)*ln(1-x)^2+(x^2-x)*exp(5)*ln(1-x)-x^2*exp(5))*ln(x^2)^2+((6*x-6)*exp(5)*ln(2)*ln(1-x)^2+(-3*x^2+3*x)*ln(1-x)+3*x^2)*ln(x^2)+(-9*x+9)*ln(2)*ln(1-x)^2+(-6*x^2+6*x)*ln(1-x))/((x^2-x)*exp(5)^2*ln(2)*ln(1-x)^2*ln(x^2)^2+(-6*x^2+6*x)*exp(5)*ln(2)*ln(1-x)^2*ln(x^2)+(9*x^2-9*x)*ln(2)*ln(1-x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\frac{x \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)}{\left({\mathrm e}^{5} \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \,{\mathrm e}^{5} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+{\mathrm e}^{5} \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i {\mathrm e}^{5} \ln \left(x \right)-6 i\right) \ln \left(2\right) \ln \left(1-x \right)}$&$132$\\ \hline \end{longtable}"," ",0,"-ln(x)+x*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x))/(exp(5)*Pi*csgn(I*x)^2*csgn(I*x^2)-2*exp(5)*Pi*csgn(I*x)*csgn(I*x^2)^2+exp(5)*Pi*csgn(I*x^2)^3+4*I*exp(5)*ln(x)-6*I)/ln(2)/ln(1-x)","C"
1519,1,22,18,0.033000," ","int((2*ln(x)^2-2*ln(x)+(x^2-x)*exp(x)-7*x)/(x*ln(x)^2-exp(x)*x^2-7*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right)-\ln \left(\ln \left(x \right)^{2}-{\mathrm e}^{x} x -7 x \right)$&$22$\\ norman&$2 \ln \left(x \right)-\ln \left({\mathrm e}^{x} x -\ln \left(x \right)^{2}+7 x \right)$&$23$\\ \hline \end{longtable}"," ",0,"2*ln(x)-ln(ln(x)^2-exp(x)*x-7*x)","A"
1520,1,19,20,0.066000," ","int((80*ln(2)^2+5*x^2*ln(2))*exp((16*ln(2)-x^2)/x)/(x^2*exp((16*ln(2)-x^2)/x)^2+2*x^2*exp((16*ln(2)-x^2)/x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \ln \left(2\right)}{65536^{\frac{1}{x}} {\mathrm e}^{-x}+1}$&$19$\\ norman&$\frac{5 \ln \left(2\right)}{{\mathrm e}^{\frac{16 \ln \left(2\right)-x^{2}}{x}}+1}$&$24$\\ \hline \end{longtable}"," ",0,"5*ln(2)/(65536^(1/x)*exp(-x)+1)","A"
1521,1,17,20,0.039000," ","int(((7*x^2*exp(1/21*x)^2+14*x^3*exp(1/21*x)+7*x^4)*exp(x)+(2*x+42)*exp(1/21*x)+84*x)/(7*x^2*exp(1/21*x)^2+14*x^3*exp(1/21*x)+7*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x}-\frac{6}{x \left({\mathrm e}^{\frac{x}{21}}+x \right)}$&$17$\\ \hline \end{longtable}"," ",0,"exp(x)-6/x/(exp(1/21*x)+x)","A"
1522,1,45,27,0.314000," ","int(((8*x^3-24*x^2+24*x-8)*exp(2/3)-40*x^4+400*x^2-480*x+120)*exp(x)^2/((x^3-3*x^2+3*x-1)*exp(2/3)^3+(-15*x^4-15*x^3+195*x^2-285*x+120)*exp(2/3)^2+(75*x^5+375*x^4-975*x^3-3075*x^2+8400*x-4800)*exp(2/3)-125*x^6-1125*x^5-375*x^4+14625*x^3+3000*x^2-72000*x+64000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 \,{\mathrm e}^{2 x}-8 x \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{2 x} x^{2}}{\left({\mathrm e}^{\frac{2}{3}} x -5 x^{2}-{\mathrm e}^{\frac{2}{3}}-15 x +40\right)^{2}}$&$45$\\ gosper&$\frac{4 \left(x^{2}-2 x +1\right) {\mathrm e}^{2 x}}{{\mathrm e}^{\frac{4}{3}} x^{2}-10 x^{3} {\mathrm e}^{\frac{2}{3}}+25 x^{4}-2 x \,{\mathrm e}^{\frac{4}{3}}-20 x^{2} {\mathrm e}^{\frac{2}{3}}+150 x^{3}+{\mathrm e}^{\frac{4}{3}}+110 \,{\mathrm e}^{\frac{2}{3}} x -175 x^{2}-80 \,{\mathrm e}^{\frac{2}{3}}-1200 x +1600}$&$79$\\ default&$\text{Expression too large to display}$&$10277$\\ \hline \end{longtable}"," ",0,"(4*exp(x)^2-8*x*exp(x)^2+4*exp(x)^2*x^2)/(exp(2/3)*x-5*x^2-exp(2/3)-15*x+40)^2","A"
1523,1,35,31,0.029000," ","int((2*x^7+26*x^6-66*x^5+54*x^4-16*x^3)/(x^6+21*x^5+135*x^4+175*x^3-540*x^2+336*x-64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-16 x +x^{2}+\frac{-1864 x^{3}-8456 x^{2}+10560 x -2944}{\left(x^{2}+7 x -4\right)^{2}}$&$35$\\ norman&$\frac{x^{6}-2 x^{5}-14 x^{3}-41 x^{2}+56 x -16}{\left(x^{2}+7 x -4\right)^{2}}$&$35$\\ risch&$x^{2}-16 x +\frac{-1864 x^{3}-8456 x^{2}+10560 x -2944}{x^{4}+14 x^{3}+41 x^{2}-56 x +16}$&$44$\\ gosper&$\frac{x^{6}-2 x^{5}-14 x^{3}-41 x^{2}+56 x -16}{x^{4}+14 x^{3}+41 x^{2}-56 x +16}$&$45$\\ \hline \end{longtable}"," ",0,"-16*x+x^2+8*(-233*x^3-1057*x^2+1320*x-368)/(x^2+7*x-4)^2","A"
1524,1,26,23,0.792000," ","int(((-3*x^4+4*x^3-8*x^2+16*x)*ln(7)-8*x^2+16*x)/(4*x^2-8*x+4)/ln(7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{x^{4}}{4}-\frac{2 \left(\ln \left(7\right)+1\right) x^{2}}{\ln \left(7\right)}}{x -1}$&$26$\\ gosper&$-\frac{x^{2} \left(x^{2} \ln \left(7\right)+8 \ln \left(7\right)+8\right)}{4 \ln \left(7\right) \left(x -1\right)}$&$27$\\ risch&$-\frac{x^{3}}{4}-\frac{x^{2}}{4}-\frac{9 x}{4}-\frac{2 x}{\ln \left(7\right)}-\frac{9}{4 \left(x -1\right)}-\frac{2}{\ln \left(7\right) \left(x -1\right)}$&$40$\\ default&$\frac{-\ln \left(7\right) x^{3}-x^{2} \ln \left(7\right)-9 x \ln \left(7\right)-8 x -\frac{9 \ln \left(7\right)+8}{x -1}}{4 \ln \left(7\right)}$&$43$\\ meijerg&$-\frac{x \left(-5 x^{3}-10 x^{2}-30 x +60\right)}{20 \left(1-x \right)}+\frac{x \left(-2 x^{2}-6 x +12\right)}{-4 x +4}-\frac{\left(-2 \ln \left(7\right)-2\right) \left(-\frac{x \left(-3 x +6\right)}{3 \left(1-x \right)}-2 \ln \left(1-x \right)\right)}{\ln \left(7\right)}+\frac{\left(4 \ln \left(7\right)+4\right) \left(\frac{x}{1-x}+\ln \left(1-x \right)\right)}{\ln \left(7\right)}$&$110$\\ \hline \end{longtable}"," ",0,"(-1/4*x^4-2*(ln(7)+1)/ln(7)*x^2)/(x-1)","A"
1525,1,45,25,0.173000," ","int(((432*x^2-864*x+72)*exp(x)^2+(432*x^6-432*x^5+576*x^4+12*x^2+12*x-12)*exp(x)+864*x^9-1296*x^8+864*x^7-648*x^6+288*x^5-108*x^4+40*x^3-6*x^2+2*x)/(216*x^6+108*x^4+18*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}-2 x^{3}+x^{2}+\frac{36 \,{\mathrm e}^{2 x}}{\left(6 x^{2}+1\right)^{2}}+\frac{12 x \left(x -1\right) {\mathrm e}^{x}}{6 x^{2}+1}$&$45$\\ norman&$\frac{x^{2}+13 x^{4}-2 x^{3}-24 x^{5}+48 x^{6}-72 x^{7}+36 x^{8}+36 \,{\mathrm e}^{2 x}-12 \,{\mathrm e}^{x} x +12 \,{\mathrm e}^{x} x^{2}-72 \,{\mathrm e}^{x} x^{3}+72 \,{\mathrm e}^{x} x^{4}}{\left(6 x^{2}+1\right)^{2}}$&$77$\\ default&$x^{4}-2 x^{3}+x^{2}+2 \,{\mathrm e}^{x}-\frac{3888 \left(-\frac{5}{1728} x^{3}-\frac{1}{3456} x \right)}{\left(6 x^{2}+1\right)^{2}}+\frac{{\mathrm e}^{x} \left(36 x^{3}-6 x^{2}-6 x -1\right)}{864 x^{4}+288 x^{2}+24}-\frac{36 \,{\mathrm e}^{2 x} \left(6 x^{3}+x -1\right)}{36 x^{4}+12 x^{2}+1}-\frac{216 \left(\frac{1}{288} x^{3}-\frac{1}{1728} x \right)}{\left(6 x^{2}+1\right)^{2}}+\frac{-\frac{81}{4} x^{3}-\frac{21}{8} x}{\left(6 x^{2}+1\right)^{2}}+\frac{{\mathrm e}^{x} \left(6 x^{3}+x -2\right)}{144 x^{4}+48 x^{2}+4}-\frac{108 \left(-\frac{13}{144} x^{3}-\frac{11}{864} x \right)}{\left(6 x^{2}+1\right)^{2}}-\frac{{\mathrm e}^{x} \left(6 x^{3}+48 x^{2}+x +6\right)}{4 \left(36 x^{4}+12 x^{2}+1\right)}+\frac{{\mathrm e}^{x} \left(324 x^{3}-6 x^{2}+42 x -1\right)}{864 x^{4}+288 x^{2}+24}-\frac{{\mathrm e}^{x} \left(108 x^{3}+6 x^{2}+30 x +1\right)}{4 \left(36 x^{4}+12 x^{2}+1\right)}+\frac{3 \,{\mathrm e}^{2 x} \left(18 x^{3}-6 x^{2}-3 x -1\right)}{36 x^{4}+12 x^{2}+1}-\frac{{\mathrm e}^{x} \left(180 x^{3}-6 x^{2}+18 x -1\right)}{3 \left(36 x^{4}+12 x^{2}+1\right)}+\frac{3 \,{\mathrm e}^{2 x} \left(54 x^{3}+6 x^{2}+15 x +1\right)}{36 x^{4}+12 x^{2}+1}$&$384$\\ \hline \end{longtable}"," ",0,"x^4-2*x^3+x^2+36/(6*x^2+1)^2*exp(2*x)+12*x*(x-1)/(6*x^2+1)*exp(x)","A"
1526,1,62,33,0.048000," ","int(((30*x*ln(x)^2+(9*x^2-15*x)*ln(x))*ln(ln(x))^2+(-90*x^2+90*x)*exp(x-3)^2*ln(x)*ln(ln(x))+45*x*exp(x-3)^2)/((25*ln(x)^3+30*x*ln(x)^2+9*x^2*ln(x))*ln(ln(x))^2+(150*exp(x-3)^2*ln(x)^2+90*x*exp(x-3)^2*ln(x))*ln(ln(x))+225*exp(x-3)^4*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x^{2}}{3 x +5 \ln \left(x \right)}-\frac{45 x^{2} {\mathrm e}^{2 x -6}}{\left(3 x +5 \ln \left(x \right)\right) \left(5 \ln \left(x \right) \ln \left(\ln \left(x \right)\right)+3 x \ln \left(\ln \left(x \right)\right)+15 \,{\mathrm e}^{2 x -6}\right)}$&$62$\\ \hline \end{longtable}"," ",0,"3*x^2/(3*x+5*ln(x))-45*x^2*exp(2*x-6)/(3*x+5*ln(x))/(5*ln(x)*ln(ln(x))+3*x*ln(ln(x))+15*exp(2*x-6))","A"
1527,1,12,14,0.015000," ","int(162/25*x*ln(x)+81/25*x-36/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{36 x}{5}+\frac{81 x^{2} \ln \left(x \right)}{25}$&$12$\\ norman&$-\frac{36 x}{5}+\frac{81 x^{2} \ln \left(x \right)}{25}$&$12$\\ risch&$-\frac{36 x}{5}+\frac{81 x^{2} \ln \left(x \right)}{25}$&$12$\\ \hline \end{longtable}"," ",0,"-36/5*x+81/25*x^2*ln(x)","A"
1528,1,59,30,0.162000," ","int(((2*x^11+41*x^10+420*x^9+2760*x^8+12806*x^7+43704*x^6+111344*x^5+210432*x^4+287097*x^3+265716*x^2+146440*x+32768)*ln(5)-2*x^12-40*x^11-400*x^10-2560*x^9-11520*x^8-37888*x^7-92160*x^6-163840*x^5-204800*x^4-163840*x^3-65536*x^2)/(x^11+20*x^10+200*x^9+1280*x^8+5760*x^7+18944*x^6+46080*x^5+81920*x^4+102400*x^3+81920*x^2+32768*x)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-x^{2}+2 x \ln \left(5\right)+\frac{\ln \left(5\right) \left(-2 x^{5}-16 x^{4}-64 x^{3}-128 x^{2}-127 x \right)}{\left(x^{2}+4 x +8\right)^{4}}+\ln \left(5\right) \ln \left(x \right)}{\ln \left(5\right)}$&$59$\\ risch&$2 x -\frac{x^{2}}{\ln \left(5\right)}+\frac{-2 x^{5} \ln \left(5\right)-16 x^{4} \ln \left(5\right)-64 x^{3} \ln \left(5\right)-128 x^{2} \ln \left(5\right)-127 x \ln \left(5\right)}{\ln \left(5\right) \left(x^{8}+16 x^{7}+128 x^{6}+640 x^{5}+2176 x^{4}+5120 x^{3}+8192 x^{2}+8192 x +4096\right)}+\ln \left(x \right)$&$95$\\ norman&$\frac{-\frac{128 \left(2 \ln \left(5\right)-11\right) x^{7}}{\ln \left(5\right)}-\frac{128 \left(22 \ln \left(5\right)-111\right) x^{6}}{\ln \left(5\right)}-\frac{10 \left(1613 \ln \left(5\right)-7680\right) x^{5}}{\ln \left(5\right)}-\frac{16 \left(3713 \ln \left(5\right)-16896\right) x^{4}}{\ln \left(5\right)}-\frac{64 \left(2305 \ln \left(5\right)-10112\right) x^{3}}{\ln \left(5\right)}-\frac{2176 \left(113 \ln \left(5\right)-480\right) x^{2}}{\ln \left(5\right)}-\frac{\left(254079 \ln \left(5\right)-1048576\right) x}{\ln \left(5\right)}-\frac{x^{10}}{\ln \left(5\right)}+\frac{2 \left(-8+\ln \left(5\right)\right) x^{9}}{\ln \left(5\right)}-\frac{131072 \left(\ln \left(5\right)-4\right)}{\ln \left(5\right)}}{\left(x^{2}+4 x +8\right)^{4}}+\ln \left(x \right)$&$151$\\ \hline \end{longtable}"," ",0,"1/ln(5)*(-x^2+2*x*ln(5)+ln(5)*(-2*x^5-16*x^4-64*x^3-128*x^2-127*x)/(x^2+4*x+8)^4+ln(5)*ln(x))","A"
1529,1,18,19,0.291000," ","int((-ln(3)*exp(ln(3)/(x+25))+(-x^2-50*x-625)*exp(x)-2*x^2-100*x-1250)*exp(exp(ln(3)/(x+25))-exp(x)+3-2*x)/(x^2+50*x+625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{3^{\frac{1}{x +25}}-{\mathrm e}^{x}+3-2 x}$&$18$\\ norman&$\frac{x \,{\mathrm e}^{{\mathrm e}^{\frac{\ln \left(3\right)}{x +25}}-{\mathrm e}^{x}+3-2 x}+25 \,{\mathrm e}^{{\mathrm e}^{\frac{\ln \left(3\right)}{x +25}}-{\mathrm e}^{x}+3-2 x}}{x +25}$&$50$\\ \hline \end{longtable}"," ",0,"exp(3^(1/(x+25))-exp(x)+3-2*x)","A"
1530,1,49,22,0.297000," ","int(((x*exp(2)*ln(9/x^2)*ln(ln(9/x^2))-2*exp(2)*x)*exp(x*exp(2)*ln(ln(9/x^2)))-ln(9/x^2))/(x*ln(9/x^2)*exp(x*exp(2)*ln(ln(9/x^2)))-x*ln(9/x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-\ln \left(x \right)+\left(2 \ln \left(3\right)-2 \ln \left(x \right)+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)^{{\mathrm e}^{2} x}\right)$&$49$\\ \hline \end{longtable}"," ",0,"ln(-ln(x)+(2*ln(3)-2*ln(x)+1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)^(exp(2)*x))","C"
1531,1,8,7,0.020000," ","int((exp(5)+1)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left({\mathrm e}^{5}+1\right) {\mathrm e}^{x}$&$8$\\ derivativedivides&$\left({\mathrm e}^{5}+1\right) {\mathrm e}^{x}$&$8$\\ default&$\left({\mathrm e}^{5}+1\right) {\mathrm e}^{x}$&$8$\\ norman&$\left({\mathrm e}^{5}+1\right) {\mathrm e}^{x}$&$8$\\ risch&${\mathrm e}^{5} {\mathrm e}^{x}+{\mathrm e}^{x}$&$9$\\ meijerg&$-{\mathrm e}^{5} \left(1-{\mathrm e}^{x}\right)-1+{\mathrm e}^{x}$&$15$\\ \hline \end{longtable}"," ",0,"(exp(5)+1)*exp(x)","A"
1532,1,15,12,0.025000," ","int(1/13*(4*exp(9)+1)/x/exp(9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\left(4 \,{\mathrm e}^{9}+1\right) {\mathrm e}^{-9} \ln \left(x \right)}{13}$&$15$\\ norman&$\frac{\left(4 \,{\mathrm e}^{9}+1\right) {\mathrm e}^{-9} \ln \left(x \right)}{13}$&$15$\\ risch&$\frac{4 \,{\mathrm e}^{-9} \ln \left(x \right) {\mathrm e}^{9}}{13}+\frac{{\mathrm e}^{-9} \ln \left(x \right)}{13}$&$16$\\ \hline \end{longtable}"," ",0,"1/13*(4*exp(9)+1)/exp(9)*ln(x)","A"
1533,1,19,18,1.803000," ","int(((exp(ln(x)-5)^2-11*exp(ln(x)-5)+25)*exp(1/(exp(ln(x)-5)-5))+(-2*x-4)*exp(ln(x)-5)^2+(20*x+40)*exp(ln(x)-5)-50*x-100)/((x*exp(ln(x)-5)^2-10*x*exp(ln(x)-5)+25*x)*exp(1/(exp(ln(x)-5)-5))+(-x^2-4*x)*exp(ln(x)-5)^2+(10*x^2+40*x)*exp(ln(x)-5)-25*x^2-100*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)+\ln \left(x -{\mathrm e}^{\frac{1}{x \,{\mathrm e}^{-5}-5}}+4\right)$&$19$\\ risch&$\ln \left(-x \right)+\ln \left(-x +{\mathrm e}^{\frac{1}{x \,{\mathrm e}^{-5}-5}}-4\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(x-exp(1/(x*exp(-5)-5))+4)","A"
1534,1,16,30,0.017000," ","int((20160*exp(ln(2)+2-x)+128)/exp(ln(2)+2-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 \,{\mathrm e}^{2 x -4}+10080 \,{\mathrm e}^{x -2}$&$16$\\ norman&$\frac{\left(64+20160 \,{\mathrm e}^{\ln \left(2\right)+2-x}\right) {\mathrm e}^{2 x -4}}{4}$&$24$\\ derivativedivides&$16 \,{\mathrm e}^{2 x -4}+10080 \,{\mathrm e}^{x -2}$&$26$\\ default&$16 \,{\mathrm e}^{2 x -4}+10080 \,{\mathrm e}^{x -2}$&$26$\\ \hline \end{longtable}"," ",0,"16*exp(2*x-4)+10080*exp(x-2)","A"
1535,1,35,14,0.072000," ","int(1/4*(2*x+1)*exp(x-3)^2+1/4*((-4*x-4)*exp(3)+22*x+22)*exp(x-3)+exp(3)^2-11*exp(3)+121/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left({\mathrm e}^{6}-11 \,{\mathrm e}^{3}+\frac{121}{4}\right) x +\left(-{\mathrm e}^{3}+\frac{11}{2}\right) x \,{\mathrm e}^{x -3}+\frac{x \,{\mathrm e}^{2 x -6}}{4}$&$35$\\ risch&$\frac{x \,{\mathrm e}^{2 x -6}}{4}-\frac{\left(2 \,{\mathrm e}^{3}-11\right) x \,{\mathrm e}^{x -3}}{2}+x \,{\mathrm e}^{6}-11 x \,{\mathrm e}^{3}+\frac{121 x}{4}$&$36$\\ default&$\frac{121 x}{4}+x \,{\mathrm e}^{6}+\frac{3 \,{\mathrm e}^{2 x -6}}{4}+\frac{{\mathrm e}^{2 x -6} \left(x -3\right)}{4}+\frac{11 \,{\mathrm e}^{x -3} \left(x -3\right)}{2}+\frac{33 \,{\mathrm e}^{x -3}}{2}-4 \,{\mathrm e}^{3} {\mathrm e}^{x -3}-{\mathrm e}^{3} \left({\mathrm e}^{x -3} \left(x -3\right)-{\mathrm e}^{x -3}\right)-11 x \,{\mathrm e}^{3}$&$77$\\ derivativedivides&$\frac{121 x}{4}-\frac{363}{4}+{\mathrm e}^{6} \left(x -3\right)+\frac{3 \,{\mathrm e}^{2 x -6}}{4}+\frac{{\mathrm e}^{2 x -6} \left(x -3\right)}{4}+\frac{11 \,{\mathrm e}^{x -3} \left(x -3\right)}{2}+\frac{33 \,{\mathrm e}^{x -3}}{2}-4 \,{\mathrm e}^{3} {\mathrm e}^{x -3}-{\mathrm e}^{3} \left({\mathrm e}^{x -3} \left(x -3\right)-{\mathrm e}^{x -3}\right)-11 \,{\mathrm e}^{3} \left(x -3\right)$&$82$\\ \hline \end{longtable}"," ",0,"(exp(3)^2-11*exp(3)+121/4)*x+(-exp(3)+11/2)*x*exp(x-3)+1/4*x*exp(x-3)^2","B"
1536,1,179,21,0.160000," ","int(((6*exp(x)*x-72*x-8)*ln((-3*exp(x)*x+36*x+4)/x)+(3*x*exp(3/2+1/2*x)+6*x^2)*exp(x)+(-36*x-4)*exp(3/2+1/2*x)+8)/(6*exp(x)*x-72*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(-\frac{4}{3}+\left({\mathrm e}^{x}-12\right) x \right)-x \ln \left(x \right)-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-\frac{4}{3}+\left({\mathrm e}^{x}-12\right) x \right)\right) \mathrm{csgn}\left(\frac{i \left(-\frac{4}{3}+\left({\mathrm e}^{x}-12\right) x \right)}{x}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-\frac{4}{3}+\left({\mathrm e}^{x}-12\right) x \right)}{x}\right)^{2}}{2}-i \pi  x \mathrm{csgn}\left(\frac{i \left(-\frac{4}{3}+\left({\mathrm e}^{x}-12\right) x \right)}{x}\right)^{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(-\frac{4}{3}+\left({\mathrm e}^{x}-12\right) x \right)\right) \mathrm{csgn}\left(\frac{i \left(-\frac{4}{3}+\left({\mathrm e}^{x}-12\right) x \right)}{x}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(-\frac{4}{3}+\left({\mathrm e}^{x}-12\right) x \right)}{x}\right)^{3}}{2}+i \pi  x +x \ln \left(3\right)+{\mathrm e}^{\frac{3}{2}+\frac{x}{2}}$&$179$\\ \hline \end{longtable}"," ",0,"x*ln(-4/3+(exp(x)-12)*x)-x*ln(x)-1/2*I*Pi*x*csgn(I/x)*csgn(I*(-4/3+(exp(x)-12)*x))*csgn(I/x*(-4/3+(exp(x)-12)*x))+1/2*I*Pi*x*csgn(I/x)*csgn(I/x*(-4/3+(exp(x)-12)*x))^2-I*Pi*x*csgn(I/x*(-4/3+(exp(x)-12)*x))^2+1/2*I*Pi*x*csgn(I*(-4/3+(exp(x)-12)*x))*csgn(I/x*(-4/3+(exp(x)-12)*x))^2+1/2*I*Pi*x*csgn(I/x*(-4/3+(exp(x)-12)*x))^3+I*Pi*x+x*ln(3)+exp(3/2+1/2*x)","C"
1537,1,24,20,0.161000," ","int((((-x^2-1)*exp((-x^2+1)/x)*exp(exp((-x^2+1)/x))+x)*exp(exp(exp((-x^2+1)/x)))+x*ln(2)-x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \left(\ln \left(2\right)-1\right)+x \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{\frac{-x^{2}+1}{x}}}}$&$24$\\ risch&$x \ln \left(2\right)-x +x \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{-\frac{\left(x -1\right) \left(x +1\right)}{x}}}}$&$25$\\ \hline \end{longtable}"," ",0,"x*(ln(2)-1)+x*exp(exp(exp((-x^2+1)/x)))","A"
1538,1,24,31,0.076000," ","int((-4*x^2+18*x-2)*exp(5)^2*ln(5)^2*exp(-x^2+9*x-16)^2/x^3/exp(exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(5\right)^{2} {\mathrm e}^{-22-{\mathrm e}^{4}-2 x^{2}+18 x}}{x^{2}}$&$24$\\ gosper&$\frac{{\mathrm e}^{10} \ln \left(5\right)^{2} {\mathrm e}^{-{\mathrm e}^{4}} {\mathrm e}^{-2 x^{2}+18 x -32}}{x^{2}}$&$31$\\ norman&$\frac{{\mathrm e}^{10} \ln \left(5\right)^{2} {\mathrm e}^{-{\mathrm e}^{4}} {\mathrm e}^{-2 x^{2}+18 x -32}}{x^{2}}$&$31$\\ \hline \end{longtable}"," ",0,"1/x^2*ln(5)^2*exp(-22-exp(4)-2*x^2+18*x)","A"
1539,1,55,22,0.144000," ","int(((8*exp(2/x^2)-2*x^3-8)/(x^2*exp(2/x^2)+x^3+5*x^2-2)^2*x^4+((2*x^3+8*x)*exp(2/x^2)+10*x^3-12*x)/(x^2*exp(2/x^2)+x^3+5*x^2-2)*x^2+2*x^4*exp(2/x^2)+2*x^5+10*x^4-4*x^2)/(x^3*exp(2/x^2)+x^4+5*x^3-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{\left(2 x^{3}+2 x^{2} {\mathrm e}^{\frac{2}{x^{2}}}+10 x^{2}+x -4\right) x^{3}}{\left(x^{2} {\mathrm e}^{\frac{2}{x^{2}}}+x^{3}+5 x^{2}-2\right)^{2}}$&$55$\\ \hline \end{longtable}"," ",0,"x^2+(2*x^3+2*x^2*exp(2/x^2)+10*x^2+x-4)*x^3/(x^2*exp(2/x^2)+x^3+5*x^2-2)^2","B"
1540,1,26,22,0.027000," ","int(x^3*exp(1/64*(16*ln(3)^2+exp(3)^2+(16*x^4+6)*exp(3))/exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(16 x^{4} {\mathrm e}^{3}+16 \ln \left(3\right)^{2}+6 \,{\mathrm e}^{3}+{\mathrm e}^{6}\right) {\mathrm e}^{-3}}{64}}$&$26$\\ derivativedivides&${\mathrm e}^{\frac{\left(16 \ln \left(3\right)^{2}+{\mathrm e}^{6}+\left(16 x^{4}+6\right) {\mathrm e}^{3}\right) {\mathrm e}^{-3}}{64}}$&$29$\\ default&${\mathrm e}^{\frac{\left(16 \ln \left(3\right)^{2}+{\mathrm e}^{6}+\left(16 x^{4}+6\right) {\mathrm e}^{3}\right) {\mathrm e}^{-3}}{64}}$&$29$\\ norman&${\mathrm e}^{\frac{\left(16 \ln \left(3\right)^{2}+{\mathrm e}^{6}+\left(16 x^{4}+6\right) {\mathrm e}^{3}\right) {\mathrm e}^{-3}}{64}}$&$29$\\ gosper&${\mathrm e}^{\frac{\left(16 x^{4} {\mathrm e}^{3}+16 \ln \left(3\right)^{2}+6 \,{\mathrm e}^{3}+{\mathrm e}^{6}\right) {\mathrm e}^{-3}}{64}}$&$30$\\ meijerg&$-{\mathrm e}^{{\mathrm e}^{-3} \left(\frac{\ln \left(3\right)^{2}}{4}+\frac{{\mathrm e}^{6}}{64}+\frac{3 \,{\mathrm e}^{3}}{32}\right)} \left(1-{\mathrm e}^{\frac{x^{4}}{4}}\right)$&$32$\\ \hline \end{longtable}"," ",0,"exp(1/64*(16*x^4*exp(3)+16*ln(3)^2+6*exp(3)+exp(6))*exp(-3))","A"
1541,1,18,18,0.036000," ","int(2*ln(625/331776/exp(2))/(x*ln(x^2)^2-2*x*ln(x^2)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(\frac{625 \,{\mathrm e}^{-2}}{331776}\right)}{\ln \left(x^{2}\right)-1}$&$18$\\ norman&$\frac{2-4 \ln \left(5\right)+4 \ln \left(24\right)}{\ln \left(x^{2}\right)-1}$&$20$\\ risch&$-\frac{4 \ln \left(5\right)}{\ln \left(x^{2}\right)-1}+\frac{12 \ln \left(2\right)}{\ln \left(x^{2}\right)-1}+\frac{4 \ln \left(3\right)}{\ln \left(x^{2}\right)-1}+\frac{2}{\ln \left(x^{2}\right)-1}$&$48$\\ \hline \end{longtable}"," ",0,"-ln(625/331776/exp(2))/(ln(x^2)-1)","A"
1542,1,30,25,0.064000," ","int(((-x^5+3*x^4+3*x+3)*exp(2)+2*x^4-8*x^3+4*x^2)/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(x^{4} {\mathrm e}^{2}-2 x^{3}+4 x^{2}-3 \,{\mathrm e}^{2}\right) {\mathrm e}^{-x}}{x}$&$30$\\ norman&$\frac{\left(x^{4} {\mathrm e}^{2}-2 x^{3}+4 x^{2}-3 \,{\mathrm e}^{2}\right) {\mathrm e}^{-x}}{x}$&$30$\\ risch&$\frac{\left(x^{4} {\mathrm e}^{2}-2 x^{3}+4 x^{2}-3 \,{\mathrm e}^{2}\right) {\mathrm e}^{-x}}{x}$&$30$\\ default&$4 x \,{\mathrm e}^{-x}-2 x^{2} {\mathrm e}^{-x}+3 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{-x}}{x}+\expIntegralEi \left(1, x\right)\right)-3 \,{\mathrm e}^{2} \expIntegralEi \left(1, x\right)+3 \,{\mathrm e}^{2} \left(-x^{2} {\mathrm e}^{-x}-2 x \,{\mathrm e}^{-x}-2 \,{\mathrm e}^{-x}\right)-{\mathrm e}^{2} \left(-x^{3} {\mathrm e}^{-x}-3 x^{2} {\mathrm e}^{-x}-6 x \,{\mathrm e}^{-x}-6 \,{\mathrm e}^{-x}\right)$&$105$\\ meijerg&$-4+4 \left(2 x +2\right) {\mathrm e}^{-x}-4 \,{\mathrm e}^{-x}-{\mathrm e}^{2} \left(6-\frac{\left(4 x^{3}+12 x^{2}+24 x +24\right) {\mathrm e}^{-x}}{4}\right)+\left(3 \,{\mathrm e}^{2}+2\right) \left(2-\frac{\left(3 x^{2}+6 x +6\right) {\mathrm e}^{-x}}{3}\right)-3 \,{\mathrm e}^{2} \expIntegralEi \left(1, x\right)+3 \,{\mathrm e}^{2} \left(\frac{-2 x +2}{2 x}-\frac{{\mathrm e}^{-x}}{x}+\expIntegralEi \left(1, x\right)+1-\frac{1}{x}\right)$&$112$\\ \hline \end{longtable}"," ",0,"(x^4*exp(2)-2*x^3+4*x^2-3*exp(2))/exp(x)/x","A"
1543,1,23,23,0.042000," ","int(((64*x^2-3*x+1)*ln(3*x)^2+2*x*ln(3*x)-2*x-2)/x/ln(3*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$32 x^{2}-3 x +\ln \left(x \right)+\frac{2 x +2}{\ln \left(3 x \right)}$&$23$\\ derivativedivides&$32 x^{2}-3 x +\ln \left(3 x \right)+\frac{2 x}{\ln \left(3 x \right)}+\frac{2}{\ln \left(3 x \right)}$&$31$\\ default&$32 x^{2}-3 x +\ln \left(3 x \right)+\frac{2 x}{\ln \left(3 x \right)}+\frac{2}{\ln \left(3 x \right)}$&$31$\\ norman&$\frac{2+\ln \left(3 x \right)^{2}+2 x -3 x \ln \left(3 x \right)+32 x^{2} \ln \left(3 x \right)}{\ln \left(3 x \right)}$&$35$\\ \hline \end{longtable}"," ",0,"32*x^2-3*x+ln(x)+2*(x+1)/ln(3*x)","A"
1544,1,22,18,0.033000," ","int(((1-x)*exp(x)*ln(8*ln(2)+8)-3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3+\left(-3 \ln \left(2\right)-\ln \left(1+\ln \left(2\right)\right)\right) {\mathrm e}^{x}}{x}$&$22$\\ risch&$\frac{3}{x}-\frac{\left(3 \ln \left(2\right)+\ln \left(1+\ln \left(2\right)\right)\right) {\mathrm e}^{x}}{x}$&$24$\\ default&$-\frac{{\mathrm e}^{x} \ln \left(1+\ln \left(2\right)\right)}{x}+\frac{3}{x}-\frac{3 \ln \left(2\right) {\mathrm e}^{x}}{x}$&$28$\\ \hline \end{longtable}"," ",0,"(3+(-3*ln(2)-ln(1+ln(2)))*exp(x))/x","A"
1545,1,30,24,0.250000," ","int((-20000*x*exp(exp(x))^2+((-2500*x^3-10000*x^2)*exp(x)-200000*x*ln(3)+1100*x^2+20000*x)*exp(exp(x))-500000*x*ln(3)^2+(5500*x^2+100000*x)*ln(3)+288*x^3+1600*x^2)/(625*exp(exp(x))^2+(6250*ln(3)+200*x)*exp(exp(x))+15625*ln(3)^2+1000*x*ln(3)+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-16 x^{2}+\frac{100 x^{2} \left(4+x \right)}{4 x +125 \ln \left(3\right)+25 \,{\mathrm e}^{{\mathrm e}^{x}}}$&$30$\\ norman&$\frac{\left(400-2000 \ln \left(3\right)\right) x^{2}+36 x^{3}-400 \,{\mathrm e}^{{\mathrm e}^{x}} x^{2}}{4 x +125 \ln \left(3\right)+25 \,{\mathrm e}^{{\mathrm e}^{x}}}$&$41$\\ \hline \end{longtable}"," ",0,"-16*x^2+100*x^2*(4+x)/(4*x+125*ln(3)+25*exp(exp(x)))","A"
1546,1,21,16,0.036000," ","int((ln(4/x)-1)*ln((4*exp(166)+1)/exp(166))+exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\ln \left(4 \,{\mathrm e}^{166}+1\right)-166\right) x \ln \left(\frac{4}{x}\right)+{\mathrm e}^{x}$&$21$\\ risch&$\left(\ln \left(4 \,{\mathrm e}^{166}+1\right)-166\right) x \ln \left(\frac{4}{x}\right)+{\mathrm e}^{x}$&$21$\\ default&$\ln \left(\left(4 \,{\mathrm e}^{166}+1\right) {\mathrm e}^{-166}\right) \ln \left(\frac{4}{x}\right) x +{\mathrm e}^{x}$&$24$\\ \hline \end{longtable}"," ",0,"(ln(4*exp(166)+1)-166)*x*ln(4/x)+exp(x)","A"
1547,1,34,21,0.089000," ","int(((24*x+8)*exp(4)^4+486*x^11+1620*x^10+2160*x^9+1440*x^8+480*x^7+64*x^6)/(243*x^10+810*x^9+1080*x^8+720*x^7+240*x^6+32*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{{\mathrm e}^{16}}{x^{4} \left(81 x^{4}+216 x^{3}+216 x^{2}+96 x +16\right)}$&$34$\\ norman&$\frac{16 x^{6}+96 x^{7}+216 x^{8}+216 x^{9}+81 x^{10}-{\mathrm e}^{16}}{x^{4} \left(3 x +2\right)^{4}}$&$44$\\ gosper&$-\frac{-243 x^{10}-648 x^{9}+1440 x^{7}+1680 x^{6}+768 x^{5}+3 \,{\mathrm e}^{16}+128 x^{4}}{3 x^{4} \left(81 x^{4}+216 x^{3}+216 x^{2}+96 x +16\right)}$&$65$\\ default&$x^{2}-\frac{81 \,{\mathrm e}^{16}}{16 \left(3 x +2\right)^{4}}-\frac{81 \,{\mathrm e}^{16}}{8 \left(3 x +2\right)^{3}}-\frac{405 \,{\mathrm e}^{16}}{32 \left(3 x +2\right)^{2}}-\frac{405 \,{\mathrm e}^{16}}{32 \left(3 x +2\right)}-\frac{{\mathrm e}^{16}}{16 x^{4}}+\frac{3 \,{\mathrm e}^{16}}{8 x^{3}}-\frac{45 \,{\mathrm e}^{16}}{32 x^{2}}+\frac{135 \,{\mathrm e}^{16}}{32 x}$&$77$\\ \hline \end{longtable}"," ",0,"x^2-exp(16)/x^4/(81*x^4+216*x^3+216*x^2+96*x+16)","A"
1548,1,24,24,0.036000," ","int(((5*x-5)*ln(x*ln(2))+5*exp(x)-5*x-3)/(5*x*ln(x*ln(2))-5*exp(x)*x-5*x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\ln \left(-5 x \ln \left(x \ln \left(2\right)\right)+5 \,{\mathrm e}^{x} x +5 x +3\right)$&$24$\\ risch&$x -\ln \left(x \right)-\ln \left(\ln \left(x \ln \left(2\right)\right)-\frac{5 \,{\mathrm e}^{x} x +5 x +3}{5 x}\right)$&$31$\\ \hline \end{longtable}"," ",0,"x-ln(-5*x*ln(x*ln(2))+5*exp(x)*x+5*x+3)","A"
1549,1,30,17,0.029000," ","int(3*x^2*exp(x^3)+ln(3)^4-12*ln(3)^3+54*ln(3)^2-108*ln(3)+78,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\ln \left(3\right)^{4}-12 \ln \left(3\right)^{3}+54 \ln \left(3\right)^{2}-108 \ln \left(3\right)+78\right) x +{\mathrm e}^{x^{3}}$&$30$\\ default&$78 x +x \ln \left(3\right)^{4}+54 x \ln \left(3\right)^{2}-12 x \ln \left(3\right)^{3}+{\mathrm e}^{x^{3}}-108 x \ln \left(3\right)$&$34$\\ risch&$78 x +x \ln \left(3\right)^{4}+54 x \ln \left(3\right)^{2}-12 x \ln \left(3\right)^{3}+{\mathrm e}^{x^{3}}-108 x \ln \left(3\right)$&$34$\\ \hline \end{longtable}"," ",0,"(ln(3)^4-12*ln(3)^3+54*ln(3)^2-108*ln(3)+78)*x+exp(x^3)","A"
1550,1,20,25,0.057000," ","int(ln(1/16*exp(x^2)^2)+exp(x-4)+4*x^2-5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-5 x +{\mathrm e}^{x -4}+x \ln \left(\frac{{\mathrm e}^{2 x^{2}}}{16}\right)$&$20$\\ risch&$2 x \ln \left({\mathrm e}^{x^{2}}\right)-\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x^{2}}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x^{2}}\right) x}{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x^{2}}\right)^{2} x -\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x^{2}}\right)^{3} x}{2}-4 x \ln \left(2\right)+{\mathrm e}^{x -4}-5 x$&$89$\\ \hline \end{longtable}"," ",0,"-5*x+exp(x-4)+x*ln(1/16*exp(x^2)^2)","A"
1551,1,14,11,0.023000," ","int(-3*ln(1/3*x)-6*x-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-3 x^{2}-3 x \ln \left(\frac{x}{3}\right)$&$14$\\ default&$-3 x^{2}-3 x \ln \left(\frac{x}{3}\right)$&$14$\\ norman&$-3 x^{2}-3 x \ln \left(\frac{x}{3}\right)$&$14$\\ risch&$-3 x^{2}-3 x \ln \left(\frac{x}{3}\right)$&$14$\\ \hline \end{longtable}"," ",0,"-3*x^2-3*x*ln(1/3*x)","A"
1552,0,0,19,0.046000," ","int(((4*x^2+8*x+4)*ln((3*x+3)/x)+x^3-x^2-6*x-8)*exp(ln(4*x*ln((3*x+3)/x)+x^2-4*x)+x)/((4*x^2+4*x)*ln((3*x+3)/x)+x^3-3*x^2-4*x),x)","\[\int \frac{\left(\left(4 x^{2}+8 x +4\right) \ln \left(\frac{3 x +3}{x}\right)+x^{3}-x^{2}-6 x -8\right) {\mathrm e}^{\ln \left(4 x \ln \left(\frac{3 x +3}{x}\right)+x^{2}-4 x \right)+x}}{\left(4 x^{2}+4 x \right) \ln \left(\frac{3 x +3}{x}\right)+x^{3}-3 x^{2}-4 x}\, dx\]"," ",0,"int(((4*x^2+8*x+4)*ln((3*x+3)/x)+x^3-x^2-6*x-8)*exp(ln(4*x*ln((3*x+3)/x)+x^2-4*x)+x)/((4*x^2+4*x)*ln((3*x+3)/x)+x^3-3*x^2-4*x),x)","F"
1553,1,18,18,0.263000," ","int(((4*x^3+64*x)*ln(3)*exp(x)+x^2-16)/(x^3+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x^{2}+16\right)-\ln \left(x \right)+4 \ln \left(3\right) {\mathrm e}^{x}$&$18$\\ norman&$\ln \left(x^{2}+16\right)-\ln \left(x \right)+4 \ln \left(3\right) {\mathrm e}^{x}$&$18$\\ risch&$\ln \left(x^{2}+16\right)-\ln \left(x \right)+4 \ln \left(3\right) {\mathrm e}^{x}$&$18$\\ \hline \end{longtable}"," ",0,"ln(x^2+16)-ln(x)+4*ln(3)*exp(x)","A"
1554,0,0,18,0.035000," ","int((-x*ln(2/x)-x-1)/(3*x^2+3*x)/ln(2/x)/ln((2*x+2)/ln(2/x))^2,x)","\[\int \frac{-x \ln \left(\frac{2}{x}\right)-x -1}{\left(3 x^{2}+3 x \right) \ln \left(\frac{2}{x}\right) \ln \left(\frac{2 x +2}{\ln \left(\frac{2}{x}\right)}\right)^{2}}\, dx\]"," ",0,"int((-x*ln(2/x)-x-1)/(3*x^2+3*x)/ln(2/x)/ln((2*x+2)/ln(2/x))^2,x)","F"
1555,1,25,21,0.082000," ","int((6*x*exp(1/2*x)*ln(16*x^2)-12*exp(x)*x+24*exp(1/2*x)-x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -12 \,{\mathrm e}^{x}+12 \,{\mathrm e}^{\frac{x}{2}} \ln \left(16 x^{2}\right)$&$25$\\ default&$-x +12 \left(\ln \left(16 x^{2}\right)-2 \ln \left(x \right)\right) {\mathrm e}^{\frac{x}{2}}+24 \ln \left(x \right) {\mathrm e}^{\frac{x}{2}}-12 \,{\mathrm e}^{x}$&$34$\\ risch&$24 \ln \left(x \right) {\mathrm e}^{\frac{x}{2}}-6 i {\mathrm e}^{\frac{x}{2}} \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+12 i {\mathrm e}^{\frac{x}{2}} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-6 i {\mathrm e}^{\frac{x}{2}} \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+48 \,{\mathrm e}^{\frac{x}{2}} \ln \left(2\right)-12 \,{\mathrm e}^{x}-x$&$86$\\ \hline \end{longtable}"," ",0,"-x-12*exp(1/2*x)^2+12*exp(1/2*x)*ln(16*x^2)","A"
1556,1,42,25,0.592000," ","int((((324*x^2+324*x+81)*ln(3)^2+(-324*x^2-162*x)*ln(3)+81*x^2)*ln(5)+(2*x^2+2*x)*ln(3)^2-x^2*ln(3))/((324*x^2+324*x+81)*ln(3)^2+(-324*x^2-162*x)*ln(3)+81*x^2)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \ln \left(3\right)+\frac{\left(162 \ln \left(3\right) \ln \left(5\right)-81 \ln \left(5\right)+\ln \left(3\right)\right) x^{2}}{81 \ln \left(5\right)}}{2 x \ln \left(3\right)+\ln \left(3\right)-x}$&$42$\\ gosper&$\frac{x \left(162 x \ln \left(3\right) \ln \left(5\right)+81 \ln \left(3\right) \ln \left(5\right)-81 x \ln \left(5\right)+x \ln \left(3\right)\right)}{81 \ln \left(5\right) \left(2 x \ln \left(3\right)+\ln \left(3\right)-x \right)}$&$44$\\ default&$\frac{\frac{\left(162 \ln \left(3\right) \ln \left(5\right)-81 \ln \left(5\right)+\ln \left(3\right)\right) x}{162 \ln \left(3\right)-81}+\frac{\ln \left(3\right)^{3}}{81 \left(2 \ln \left(3\right)-1\right)^{2} \left(2 x \ln \left(3\right)+\ln \left(3\right)-x \right)}}{\ln \left(5\right)}$&$58$\\ risch&$\frac{162 x \ln \left(3\right)}{162 \ln \left(3\right)-81}-\frac{81 x}{162 \ln \left(3\right)-81}+\frac{x \ln \left(3\right)}{\ln \left(5\right) \left(162 \ln \left(3\right)-81\right)}+\frac{\ln \left(3\right)^{3}}{2 \ln \left(5\right) \left(2 \ln \left(3\right)-1\right) \left(162 \ln \left(3\right)-81\right) \left(x \ln \left(3\right)+\frac{\ln \left(3\right)}{2}-\frac{x}{2}\right)}$&$82$\\ meijerg&$\frac{81 \left(2 \ln \left(3\right)-1\right)^{2} x}{\left(324 \ln \left(3\right)^{2}-324 \ln \left(3\right)+81\right) \left(1+\frac{x \left(2 \ln \left(3\right)-1\right)}{\ln \left(3\right)}\right)}+\frac{\left(324 \ln \left(5\right) \ln \left(3\right)^{2}-324 \ln \left(3\right) \ln \left(5\right)+2 \ln \left(3\right)^{2}+81 \ln \left(5\right)-\ln \left(3\right)\right) \ln \left(3\right) \left(\frac{x \left(2 \ln \left(3\right)-1\right) \left(\frac{3 x \left(2 \ln \left(3\right)-1\right)}{\ln \left(3\right)}+6\right)}{3 \ln \left(3\right) \left(1+\frac{x \left(2 \ln \left(3\right)-1\right)}{\ln \left(3\right)}\right)}-2 \ln \left(1+\frac{x \left(2 \ln \left(3\right)-1\right)}{\ln \left(3\right)}\right)\right)}{\left(324 \ln \left(3\right)^{2}-324 \ln \left(3\right)+81\right) \ln \left(5\right) \left(2 \ln \left(3\right)-1\right)}+\frac{\left(324 \ln \left(5\right) \ln \left(3\right)^{2}-162 \ln \left(3\right) \ln \left(5\right)+2 \ln \left(3\right)^{2}\right) \left(-\frac{x \left(2 \ln \left(3\right)-1\right)}{\ln \left(3\right) \left(1+\frac{x \left(2 \ln \left(3\right)-1\right)}{\ln \left(3\right)}\right)}+\ln \left(1+\frac{x \left(2 \ln \left(3\right)-1\right)}{\ln \left(3\right)}\right)\right)}{\left(324 \ln \left(3\right)^{2}-324 \ln \left(3\right)+81\right) \ln \left(5\right)}$&$248$\\ \hline \end{longtable}"," ",0,"(x*ln(3)+1/81*(162*ln(3)*ln(5)-81*ln(5)+ln(3))/ln(5)*x^2)/(2*x*ln(3)+ln(3)-x)","A"
1557,1,8,11,0.020000," ","int(32*exp(2)^4/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{16 \,{\mathrm e}^{8}}{x^{2}}$&$8$\\ gosper&$-\frac{16 \,{\mathrm e}^{8}}{x^{2}}$&$10$\\ default&$-\frac{16 \,{\mathrm e}^{8}}{x^{2}}$&$10$\\ norman&$-\frac{16 \,{\mathrm e}^{8}}{x^{2}}$&$10$\\ \hline \end{longtable}"," ",0,"-16/x^2*exp(8)","A"
1558,1,23,19,0.066000," ","int(((12*x^3*ln(2*x)+12*x^4-108*x^3)*ln(ln(2*x)+x-9)+(15*x^4-1)*ln(2*x)+15*x^5-132*x^4+3*x^3-x+9)/(ln(2*x)+x-9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x^{5}+3 x^{4} \ln \left(\ln \left(2 x \right)+x -9\right)-x$&$23$\\ \hline \end{longtable}"," ",0,"3*x^5+3*x^4*ln(ln(2*x)+x-9)-x","A"
1559,1,71,32,0.450000," ","int((((-4*x^4+20*x^3+500*x+2500)*exp(3)^4+(-8*x^5+24*x^4+80*x^3+1000*x^2+7000*x+10000)*exp(3)^2-4*x^6+4*x^5+64*x^4+580*x^3+4500*x^2+12000*x+10000)*exp((x^4-10*x^3-25*x^2+250*x+625)/x^2)+2*x^3*exp(3)^2+4*x^3)/((x^3*exp(3)^4+(2*x^4+4*x^3)*exp(3)^2+x^5+4*x^4+4*x^3)*exp((x^4-10*x^3-25*x^2+250*x+625)/x^2)-x^4*exp(3)^2-x^5-2*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x^{2}+20 x +\frac{-500 x -1250}{x^{2}}+\frac{2 x^{4}-20 x^{3}-50 x^{2}+500 x +1250}{x^{2}}-2 \ln \left({\mathrm e}^{\frac{\left(x^{2}-5 x -25\right)^{2}}{x^{2}}}-\frac{x}{{\mathrm e}^{6}+2+x}\right)$&$71$\\ norman&$2 \ln \left({\mathrm e}^{6}+2+x \right)-2 \ln \left({\mathrm e}^{6} {\mathrm e}^{\frac{x^{4}-10 x^{3}-25 x^{2}+250 x +625}{x^{2}}}+{\mathrm e}^{\frac{x^{4}-10 x^{3}-25 x^{2}+250 x +625}{x^{2}}} x -x +2 \,{\mathrm e}^{\frac{x^{4}-10 x^{3}-25 x^{2}+250 x +625}{x^{2}}}\right)$&$97$\\ \hline \end{longtable}"," ",0,"-2*x^2+20*x+(-500*x-1250)/x^2+2*(x^4-10*x^3-25*x^2+250*x+625)/x^2-2*ln(exp((x^2-5*x-25)^2/x^2)-x/(exp(6)+2+x))","B"
1560,1,63,24,0.186000," ","int(((-40*x*ln(5)-40*x^2)*exp(4*x)-ln(5)-2*x)*exp(5*exp(4*x)-2)^2+((-40*x*exp(3)*ln(5)-40*x^2*exp(3))*exp(4*x)-2*exp(3)*ln(5)-4*x*exp(3))*exp(5*exp(4*x)-2)+(-exp(3)^2+3)*ln(5)-2*x*exp(3)^2+6*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x \ln \left(5\right)-x^{2}\right) {\mathrm e}^{10 \,{\mathrm e}^{4 x}-4}-2 x \left(\ln \left(5\right)+x \right) {\mathrm e}^{1+5 \,{\mathrm e}^{4 x}}-x \ln \left(5\right) {\mathrm e}^{6}+3 x \ln \left(5\right)-x^{2} {\mathrm e}^{6}+3 x^{2}$&$63$\\ norman&$\left(-{\mathrm e}^{6}+3\right) x^{2}+\left(-{\mathrm e}^{6} \ln \left(5\right)+3 \ln \left(5\right)\right) x -x^{2} {\mathrm e}^{10 \,{\mathrm e}^{4 x}-4}-x \ln \left(5\right) {\mathrm e}^{10 \,{\mathrm e}^{4 x}-4}-2 x^{2} {\mathrm e}^{3} {\mathrm e}^{5 \,{\mathrm e}^{4 x}-2}-2 x \,{\mathrm e}^{3} \ln \left(5\right) {\mathrm e}^{5 \,{\mathrm e}^{4 x}-2}$&$93$\\ default&$-x \ln \left(5\right) {\mathrm e}^{6}+3 x \ln \left(5\right)-x^{2} {\mathrm e}^{10 \,{\mathrm e}^{4 x}-4}-x \ln \left(5\right) {\mathrm e}^{10 \,{\mathrm e}^{4 x}-4}-2 x^{2} {\mathrm e}^{3} {\mathrm e}^{5 \,{\mathrm e}^{4 x}-2}-2 x \,{\mathrm e}^{3} \ln \left(5\right) {\mathrm e}^{5 \,{\mathrm e}^{4 x}-2}+3 x^{2}-x^{2} {\mathrm e}^{6}$&$94$\\ \hline \end{longtable}"," ",0,"(-x*ln(5)-x^2)*exp(10*exp(4*x)-4)-2*x*(ln(5)+x)*exp(1+5*exp(4*x))-x*ln(5)*exp(6)+3*x*ln(5)-x^2*exp(6)+3*x^2","B"
1561,1,34,19,0.027000," ","int(1/4*(2*x^4+16*x^3+36*x^2+18*x)*exp(x)^2+1/4*(x^2+5*x+3)*exp(x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{4}+6 x^{3}+9 x^{2}\right) {\mathrm e}^{2 x}}{4}+\frac{\left(x^{2}+3 x \right) {\mathrm e}^{x}}{4}+x$&$34$\\ default&$x +\frac{{\mathrm e}^{x} x^{2}}{4}+\frac{3 \,{\mathrm e}^{x} x}{4}+\frac{{\mathrm e}^{2 x} x^{4}}{4}+\frac{3 \,{\mathrm e}^{2 x} x^{3}}{2}+\frac{9 \,{\mathrm e}^{2 x} x^{2}}{4}$&$42$\\ norman&$x +\frac{{\mathrm e}^{x} x^{2}}{4}+\frac{3 \,{\mathrm e}^{x} x}{4}+\frac{{\mathrm e}^{2 x} x^{4}}{4}+\frac{3 \,{\mathrm e}^{2 x} x^{3}}{2}+\frac{9 \,{\mathrm e}^{2 x} x^{2}}{4}$&$42$\\ \hline \end{longtable}"," ",0,"1/4*(x^4+6*x^3+9*x^2)*exp(2*x)+1/4*(x^2+3*x)*exp(x)+x","A"
1562,1,28,23,0.083000," ","int(((4*x^3+4*x)*exp(exp(x))+2*x^5*exp(5)*exp(x)-6*x^4*exp(5))*exp((exp(exp(x))*x^2-x^3*exp(5))/exp(exp(x)))*exp(2*x^2*exp((exp(exp(x))*x^2-x^3*exp(5))/exp(exp(x))))/exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x^{2} {\mathrm e}^{-x^{2} \left(x \,{\mathrm e}^{5}-{\mathrm e}^{{\mathrm e}^{x}}\right) {\mathrm e}^{-{\mathrm e}^{x}}}}$&$28$\\ \hline \end{longtable}"," ",0,"exp(2*x^2*exp(-x^2*(x*exp(5)-exp(exp(x)))*exp(-exp(x))))","A"
1563,1,15,14,0.045000," ","int(((-20*x-40)*exp(x+ln(x))-90)/(12*x^2*exp(x+ln(x))^2+108*x^2*exp(x+ln(x))+243*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10}{3 x \left(2 \,{\mathrm e}^{x} x +9\right)}$&$15$\\ norman&$\frac{10}{3 x \left(2 \,{\mathrm e}^{x +\ln \left(x \right)}+9\right)}$&$17$\\ \hline \end{longtable}"," ",0,"10/3/x/(2*exp(x)*x+9)","A"
1564,1,17,17,0.067000," ","int(1/4*(4*x^3-3*x^2+7)*exp(1/4*x^4-1/4*x^3+7/4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{1}{4} x^{4}-\frac{1}{4} x^{3}+\frac{7}{4} x +4}$&$17$\\ norman&${\mathrm e}^{\frac{1}{4} x^{4}-\frac{1}{4} x^{3}+\frac{7}{4} x +4}$&$17$\\ risch&${\mathrm e}^{\frac{1}{4} x^{4}-\frac{1}{4} x^{3}+\frac{7}{4} x +4}$&$17$\\ \hline \end{longtable}"," ",0,"exp(1/4*x^4-1/4*x^3+7/4*x+4)","A"
1565,1,19,19,0.278000," ","int(((x-4)*exp(x)*ln(-5*x+20)^2*exp(exp(x))+(2*x-8)*exp(x)*ln(-5*x+20)^2-25)/(x-4)/ln(-5*x+20)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \,{\mathrm e}^{x}+{\mathrm e}^{{\mathrm e}^{x}}+\frac{25}{\ln \left(-5 x +20\right)}$&$19$\\ risch&$2 \,{\mathrm e}^{x}+{\mathrm e}^{{\mathrm e}^{x}}+\frac{25}{\ln \left(-5 x +20\right)}$&$19$\\ \hline \end{longtable}"," ",0,"2*exp(x)+exp(exp(x))+25/ln(-5*x+20)","A"
1566,1,18,19,0.036000," ","int((((1-x)*exp(x)+(1-x)*exp(1)+3*x^2-3*x)*ln(exp(x)+exp(1)-3*x)-2*exp(x)*x+6*x)/(exp(x)^2+(exp(1)-3*x)*exp(x))/ln(exp(x)+exp(1)-3*x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{-x}}{\ln \left({\mathrm e}^{x}+{\mathrm e}-3 x \right)^{2}}$&$18$\\ \hline \end{longtable}"," ",0,"x/ln(exp(x)+exp(1)-3*x)^2*exp(-x)","A"
1567,1,1198,21,0.242000," ","int(1/9*((18*x^2-450)*ln(x)*ln(x*ln(x))^2+((360*x+120)*ln(x)+36*x^2+360*x+900)*ln(x*ln(x))+(-18*x^2-24*x+442)*ln(x)-36*x^2-24*x+780)/x^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \left(x^{2}+10 x +25\right) \ln \left(\ln \left(x \right)\right)^{2}}{x}+\frac{2 \left(-3 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)+3 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}+3 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}-3 i \pi  \,x^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}-75 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)+75 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}+75 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}-75 i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}+6 x^{2} \ln \left(x \right)-6 x^{2}+60 x \ln \left(x \right)+150 \ln \left(x \right)+130\right) \ln \left(\ln \left(x \right)\right)}{3 x}+\frac{676-72 x^{2} \ln \left(x \right)-48 x \ln \left(\ln \left(x \right)\right)+36 x^{2} \ln \left(x \right)^{2}+1560 \ln \left(x \right)+900 \ln \left(x \right)^{2}+36 x^{2}-36 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}-36 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}-780 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)-9 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}+18 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}+18 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}-360 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3} x +360 x \ln \left(x \right)^{2}-48 x \ln \left(x \right)-9 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{4}+18 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{5}-9 \pi^{2} x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{4}+18 \pi^{2} x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{5}-225 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}+450 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}+450 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}-900 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{4}-900 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}+36 i \pi  \,x^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}+780 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}+780 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}-225 \pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{6}-360 i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3} x +900 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}-36 i \pi  \,x^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3} \ln \left(x \right)+900 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}-36 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{4}-360 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right) x -36 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right) \ln \left(x \right)-360 i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right) x -780 i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}-225 \pi^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{4}+450 \pi^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{5}-9 \pi^{2} x^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{6}-225 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{4}+450 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{5}+360 i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} x +360 i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} x -900 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)+36 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \ln \left(x \right)+36 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \ln \left(x \right)+36 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)+360 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} x +360 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} x}{18 x}$&$1198$\\ \hline \end{longtable}"," ",0,"2*(x^2+10*x+25)/x*ln(ln(x))^2+2/3*(-3*I*Pi*x^2*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))+3*I*Pi*x^2*csgn(I*x)*csgn(I*x*ln(x))^2+3*I*Pi*x^2*csgn(I*ln(x))*csgn(I*x*ln(x))^2-3*I*Pi*x^2*csgn(I*x*ln(x))^3-75*I*Pi*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))+75*I*Pi*csgn(I*x)*csgn(I*x*ln(x))^2+75*I*Pi*csgn(I*ln(x))*csgn(I*x*ln(x))^2-75*I*Pi*csgn(I*x*ln(x))^3+6*x^2*ln(x)-6*x^2+60*x*ln(x)+150*ln(x)+130)/x*ln(ln(x))+1/18*(676-72*x^2*ln(x)-48*x*ln(ln(x))+36*x^2*ln(x)^2+1560*ln(x)+900*ln(x)^2+36*x^2+360*x*ln(x)^2-48*x*ln(x)-9*Pi^2*x^2*csgn(I*x)^2*csgn(I*x*ln(x))^4+18*Pi^2*x^2*csgn(I*x)*csgn(I*x*ln(x))^5-9*Pi^2*x^2*csgn(I*ln(x))^2*csgn(I*x*ln(x))^4+18*Pi^2*x^2*csgn(I*ln(x))*csgn(I*x*ln(x))^5-225*Pi^2*csgn(I*x)^2*csgn(I*ln(x))^2*csgn(I*x*ln(x))^2+450*Pi^2*csgn(I*x)^2*csgn(I*ln(x))*csgn(I*x*ln(x))^3+450*Pi^2*csgn(I*x)*csgn(I*ln(x))^2*csgn(I*x*ln(x))^3-900*Pi^2*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))^4+780*I*Pi*csgn(I*x)*csgn(I*x*ln(x))^2+780*I*Pi*csgn(I*ln(x))*csgn(I*x*ln(x))^2-900*I*ln(x)*Pi*csgn(I*x*ln(x))^3+36*I*Pi*x^2*csgn(I*x*ln(x))^3-225*Pi^2*csgn(I*x*ln(x))^6+360*I*Pi*ln(x)*csgn(I*x)*csgn(I*x*ln(x))^2*x+360*I*Pi*ln(x)*csgn(I*ln(x))*csgn(I*x*ln(x))^2*x+360*I*Pi*ln(ln(x))*csgn(I*x)*csgn(I*x*ln(x))^2*x+360*I*Pi*ln(ln(x))*csgn(I*ln(x))*csgn(I*x*ln(x))^2*x-900*I*ln(x)*Pi*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))+36*I*Pi*x^2*csgn(I*x)*csgn(I*x*ln(x))^2*ln(x)+36*I*Pi*x^2*csgn(I*ln(x))*csgn(I*x*ln(x))^2*ln(x)+36*I*Pi*x^2*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))-9*Pi^2*x^2*csgn(I*x)^2*csgn(I*ln(x))^2*csgn(I*x*ln(x))^2+18*Pi^2*x^2*csgn(I*x)^2*csgn(I*ln(x))*csgn(I*x*ln(x))^3+18*Pi^2*x^2*csgn(I*x)*csgn(I*ln(x))^2*csgn(I*x*ln(x))^3-36*I*Pi*x^2*csgn(I*x)*csgn(I*x*ln(x))^2-36*I*Pi*x^2*csgn(I*ln(x))*csgn(I*x*ln(x))^2-780*I*Pi*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))-360*I*Pi*ln(x)*csgn(I*x*ln(x))^3*x-360*I*Pi*ln(ln(x))*csgn(I*x*ln(x))^3*x+900*I*ln(x)*Pi*csgn(I*x)*csgn(I*x*ln(x))^2-36*I*Pi*x^2*csgn(I*x*ln(x))^3*ln(x)+900*I*ln(x)*Pi*csgn(I*ln(x))*csgn(I*x*ln(x))^2-36*Pi^2*x^2*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))^4-360*I*Pi*ln(x)*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))*x-36*I*Pi*x^2*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))*ln(x)-360*I*Pi*ln(ln(x))*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))*x-780*I*Pi*csgn(I*x*ln(x))^3-225*Pi^2*csgn(I*ln(x))^2*csgn(I*x*ln(x))^4+450*Pi^2*csgn(I*ln(x))*csgn(I*x*ln(x))^5-9*Pi^2*x^2*csgn(I*x*ln(x))^6-225*Pi^2*csgn(I*x)^2*csgn(I*x*ln(x))^4+450*Pi^2*csgn(I*x)*csgn(I*x*ln(x))^5)/x","C"
1568,1,36,31,0.129000," ","int(((-x*exp(3)-3*x-1)*exp(exp(1)+x^2)^2+(-4*x*exp(3)-2*x^3-10*x^2-11*x-4)*exp(exp(1)+x^2)-4*x*exp(3)-10*x-4)/((x*exp(3)+3*x)*exp(exp(1)+x^2)^2+(4*x*exp(3)+12*x)*exp(exp(1)+x^2)+4*x*exp(3)+12*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{\ln \left(x \right)}{{\mathrm e}^{3}+3}+\frac{5+x}{\left({\mathrm e}^{3}+3\right) \left(2+{\mathrm e}^{{\mathrm e}+x^{2}}\right)}$&$36$\\ norman&$\frac{-x \,{\mathrm e}^{{\mathrm e}+x^{2}}-\frac{\left(5+2 \,{\mathrm e}^{3}\right) x}{{\mathrm e}^{3}+3}+\frac{5}{{\mathrm e}^{3}+3}}{2+{\mathrm e}^{{\mathrm e}+x^{2}}}-\frac{\ln \left(x \right)}{{\mathrm e}^{3}+3}$&$58$\\ \hline \end{longtable}"," ",0,"-x-1/(exp(3)+3)*ln(x)+(5+x)/(exp(3)+3)/(2+exp(exp(1)+x^2))","A"
1569,1,33,25,0.163000," ","int(((4*x^3+20*x-20)*exp(9)*exp(x)^2+(20*x^4+20*x^3+100*x^2-100*x)*exp(9)*exp(x)+100*x^4*exp(9))*exp(((2*x^2+10)*exp(9)*exp(x)^2+(20*x^3+100*x)*exp(9)*exp(x)+(50*x^4+250*x^2)*exp(9))/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 \left(x^{2}+5\right) \left(25 x^{2} {\mathrm e}^{9}+10 x \,{\mathrm e}^{x +9}+{\mathrm e}^{2 x +9}\right)}{x^{2}}}$&$33$\\ norman&${\mathrm e}^{\frac{\left(2 x^{2}+10\right) {\mathrm e}^{9} {\mathrm e}^{2 x}+\left(20 x^{3}+100 x \right) {\mathrm e}^{9} {\mathrm e}^{x}+\left(50 x^{4}+250 x^{2}\right) {\mathrm e}^{9}}{x^{2}}}$&$49$\\ \hline \end{longtable}"," ",0,"exp(2*(x^2+5)*(25*x^2*exp(9)+10*x*exp(x+9)+exp(2*x+9))/x^2)","A"
1570,1,19,27,0.089000," ","int((((-2*x*exp(exp(x-ln(2)))-10*x)*ln(exp(exp(x-ln(2)))+5)*ln(ln(exp(exp(x-ln(2)))+5))-x^2*exp(x-ln(2))*exp(exp(x-ln(2))))*exp(x^2*ln(ln(exp(exp(x-ln(2)))+5)))+(-2*exp(exp(x-ln(2)))-10)*ln(exp(exp(x-ln(2)))+5))/(exp(exp(x-ln(2)))+5)/ln(exp(exp(x-ln(2)))+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x -\ln \left({\mathrm e}^{\frac{{\mathrm e}^{x}}{2}}+5\right)^{x^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"-2*x-ln(exp(1/2*exp(x))+5)^(x^2)","A"
1571,1,55,29,0.213000," ","int(((20*x^6-80*x^5+80*x^4)*exp(x)^2+(-40*x^7+80*x^6-4*x^4-8*x^3+24*x^2)*exp(x)+20*x^8+20*x^4)*exp(((x^4-2*x^3)*exp(x)-x^5)/((5*x^4+10*x^3-40*x^2)*exp(x)-5*x^5-20*x^4-4))/((25*x^8+100*x^7-300*x^6-800*x^5+1600*x^4)*exp(x)^2+(-50*x^9-300*x^8+1600*x^6-40*x^4-80*x^3+320*x^2)*exp(x)+25*x^10+200*x^9+400*x^8+40*x^5+160*x^4+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{3} \left({\mathrm e}^{x} x -x^{2}-2 \,{\mathrm e}^{x}\right)}{5 \,{\mathrm e}^{x} x^{4}-5 x^{5}+10 \,{\mathrm e}^{x} x^{3}-20 x^{4}-40 \,{\mathrm e}^{x} x^{2}-4}}$&$55$\\ \hline \end{longtable}"," ",0,"exp(x^3*(exp(x)*x-x^2-2*exp(x))/(5*exp(x)*x^4-5*x^5+10*exp(x)*x^3-20*x^4-40*exp(x)*x^2-4))","A"
1572,1,33,25,0.028000," ","int(1/64*((136*x+32)*ln(x^2)+801*x^3-1602*x^2-832*x-160)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1+\frac{35 x}{4}+\frac{801 x^{3}}{64}-\frac{17 x \ln \left(x^{2}\right)}{8}-\frac{\ln \left(x^{2}\right)}{4}}{x^{2}}-\frac{801 \ln \left(x \right)}{32}$&$33$\\ default&$\frac{801 x}{64}+\frac{35}{4 x}+\frac{1}{x^{2}}-\frac{801 \ln \left(x \right)}{32}-\frac{17 \ln \left(x^{2}\right)}{8 x}-\frac{\ln \left(x^{2}\right)}{4 x^{2}}$&$35$\\ risch&$-\frac{\left(17 x +2\right) \ln \left(x^{2}\right)}{8 x^{2}}-\frac{1602 x^{2} \ln \left(x \right)-801 x^{3}-560 x -64}{64 x^{2}}$&$38$\\ \hline \end{longtable}"," ",0,"(1+35/4*x+801/64*x^3-17/8*x*ln(x^2)-1/4*ln(x^2))/x^2-801/32*ln(x)","A"
1573,1,24,19,0.103000," ","int((12*exp(2)+6*x*exp(1))/(3*exp(2)*x+3*x^2*exp(1)-x^3)/ln(1/3*(3*exp(2)+3*x*exp(1)-x^2)/x^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1}{\ln \left(\frac{3 \,{\mathrm e}^{2}+3 x \,{\mathrm e}-x^{2}}{3 x^{2}}\right)^{2}}$&$24$\\ risch&$\frac{1}{\ln \left(\frac{3 \,{\mathrm e}^{2}+3 x \,{\mathrm e}-x^{2}}{3 x^{2}}\right)^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"1/ln(1/3*(3*exp(2)+3*x*exp(1)-x^2)/x^2)^2","A"
1574,1,52,29,0.268000," ","int((2*exp(x)^2*x^2+(2*x^4-8*x^3+7*x^2)*exp(x)+16*exp(16/x)+4*x^5-36*x^4+108*x^3-108*x^2+2*x)*exp(exp(x)^2+(2*x^2-12*x+19)*exp(x)-exp(16/x)+x^4-12*x^3+54*x^2-108*x+77),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x^{2}-12 \,{\mathrm e}^{x} x +19 \,{\mathrm e}^{x}-{\mathrm e}^{\frac{16}{x}}+x^{4}-12 x^{3}+54 x^{2}-108 x +77}$&$52$\\ \hline \end{longtable}"," ",0,"x^2*exp(exp(2*x)+2*exp(x)*x^2-12*exp(x)*x+19*exp(x)-exp(16/x)+x^4-12*x^3+54*x^2-108*x+77)","A"
1575,1,17,18,0.037000," ","int(ln(ln(3))-1296*x^15+576*x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\ln \left(\ln \left(3\right)\right) x +72 x^{8}-81 x^{16}$&$17$\\ default&$\ln \left(\ln \left(3\right)\right) x +72 x^{8}-81 x^{16}$&$17$\\ norman&$\ln \left(\ln \left(3\right)\right) x +72 x^{8}-81 x^{16}$&$17$\\ risch&$\ln \left(\ln \left(3\right)\right) x +72 x^{8}-81 x^{16}$&$17$\\ \hline \end{longtable}"," ",0,"ln(ln(3))*x+72*x^8-81*x^16","A"
1576,1,20,25,0.024000," ","int((8*ln(x)+8*x^2+4*x-20)*exp((-ln(x)+x^3-x^2-x+2)/x^2)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2} {\mathrm e}^{-\frac{\ln \left(x \right)+x^{2}+x -2}{x^{2}}}$&$20$\\ \hline \end{longtable}"," ",0,"4*x^2*exp(-(ln(x)+x^2+x-2)/x^2)","A"
1577,1,97,18,0.099000," ","int((-x-1)/(x*ln(exp(x)*x^2)+x^2)/ln(2*ln(exp(x)*x^2)+2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{2 \ln \left(4 \ln \left(x \right)+2 \ln \left({\mathrm e}^{x}\right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x^{2} {\mathrm e}^{x}\right) \left(-\mathrm{csgn}\left(i x^{2} {\mathrm e}^{x}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(i x^{2} {\mathrm e}^{x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right)+2 x \right)}$&$97$\\ \hline \end{longtable}"," ",0,"1/2/ln(4*ln(x)+2*ln(exp(x))-I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-I*Pi*csgn(I*x^2*exp(x))*(-csgn(I*x^2*exp(x))+csgn(I*x^2))*(-csgn(I*x^2*exp(x))+csgn(I*exp(x)))+2*x)","C"
1578,1,30,22,0.102000," ","int((10000*exp(4)^2*exp(x)^3+(-1000*x^2+8000*x)*exp(4)^2*exp(x)^2+(-250*x^3+1875*x^2)*exp(4)^2*exp(x)+125*x^3*exp(4)^2)/(500*exp(x)^3+300*x*exp(x)^2+60*exp(x)*x^2+4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$20 x \,{\mathrm e}^{8}+\frac{5 \left(9 x +40 \,{\mathrm e}^{x}\right) x^{2} {\mathrm e}^{8}}{4 \left(5 \,{\mathrm e}^{x}+x \right)^{2}}$&$30$\\ norman&$\frac{\frac{125 x^{3} {\mathrm e}^{8}}{4}+500 x \,{\mathrm e}^{8} {\mathrm e}^{2 x}+250 \,{\mathrm e}^{8} {\mathrm e}^{x} x^{2}}{\left(5 \,{\mathrm e}^{x}+x \right)^{2}}$&$42$\\ \hline \end{longtable}"," ",0,"20*x*exp(8)+5/4*(9*x+40*exp(x))*x^2*exp(8)/(5*exp(x)+x)^2","A"
1579,1,20,19,0.263000," ","int(((2*x^2+2)*ln(1/(x^2+1))+4*x^2)/((x^2+1)*ln(6)+2*x^2+2)/ln(1/(x^2+1))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x}{\left(\ln \left(6\right)+2\right) \ln \left(\frac{1}{x^{2}+1}\right)}$&$20$\\ risch&$\frac{2 x}{\left(\ln \left(2\right)+\ln \left(3\right)+2\right) \ln \left(\frac{1}{x^{2}+1}\right)}$&$22$\\ \hline \end{longtable}"," ",0,"2*x/(ln(6)+2)/ln(1/(x^2+1))","A"
1580,1,25,29,0.088000," ","int(((2*x^4-7*x^3-8*x-8)*exp(x)^2-6*x^3-48)*exp((-x^3+3*x^2+4)/(2*exp(x)^2*x^2+12*x^2))/(2*x^3*exp(x)^4+24*exp(x)^2*x^3+72*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x^{3}-3 x^{2}-4}{2 x^{2} \left({\mathrm e}^{2 x}+6\right)}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(-1/2*(x^3-3*x^2-4)/x^2/(exp(2*x)+6))","A"
1581,1,57,29,0.027000," ","int((-ln(x)^3+(32*x^4+16*x^3+3*x^2)*ln(x)^2+(-256*x^8-256*x^7-128*x^6-32*x^5-83*x^4-32*x^3-x^2+2)*ln(x)+256*x^10+256*x^9+352*x^8+272*x^7+65*x^6-17*x^4-8*x^3)/(x^2*ln(x)^2+(-32*x^6-16*x^5-2*x^4+2*x^2)*ln(x)+256*x^10+256*x^9+96*x^8+16*x^7-31*x^6-16*x^5-2*x^4+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{x}+\frac{x^{2}-1}{x}+\frac{16 x^{4}+8 x^{3}+x^{2}-1}{x \left(16 x^{4}+8 x^{3}+x^{2}-\ln \left(x \right)-1\right)}$&$57$\\ \hline \end{longtable}"," ",0,"ln(x)/x+(x^2-1)/x+(16*x^4+8*x^3+x^2-1)/x/(16*x^4+8*x^3+x^2-ln(x)-1)","A"
1582,1,53,30,0.072000," ","int(((-2*x^3+2*x-2)*exp(x)^2+(-2*x^7-8*x^6+4*x^5+8*x^4-2*x^3)*exp(x)+10*x^12-32*x^10+36*x^8-16*x^6+2*x^4+x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{10}-4 x^{8}+6 x^{6}-4 x^{4}+x^{2}+x -\frac{\left(x^{2}-1\right) {\mathrm e}^{2 x}}{x^{2}}+\left(-2 x^{4}+4 x^{2}-2\right) {\mathrm e}^{x}$&$53$\\ default&$x^{10}-4 x^{8}+6 x^{6}-4 x^{4}+x^{2}+x -{\mathrm e}^{2 x}+\frac{{\mathrm e}^{2 x}}{x^{2}}+4 \,{\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x^{4}-2 \,{\mathrm e}^{x}$&$56$\\ \hline \end{longtable}"," ",0,"x^10-4*x^8+6*x^6-4*x^4+x^2+x-(x^2-1)/x^2*exp(2*x)+(-2*x^4+4*x^2-2)*exp(x)","A"
1583,1,14,19,0.022000," ","int(1/(ln(ln(5))-exp(1)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{\ln \left(\ln \left(5\right)\right)-{\mathrm e}-1}$&$14$\\ risch&$\frac{x}{\ln \left(\ln \left(5\right)\right)-{\mathrm e}-1}$&$14$\\ norman&$-\frac{x}{{\mathrm e}+1-\ln \left(\ln \left(5\right)\right)}$&$15$\\ \hline \end{longtable}"," ",0,"1/(ln(ln(5))-exp(1)-1)*x","A"
1584,1,68,32,0.112000," ","int((((4*x^2+4*x)*ln(x)+4*x^3+2*x^2)*exp(3*exp(4/x)-5)^2*exp(ln(x)^2+2*x*ln(x)+x^2-x+3)^2+((8*x^2+8*x)*ln(x)+48*exp(4/x)+8*x^3+4*x^2)*exp(3*exp(4/x)-5)*exp(ln(x)^2+2*x*ln(x)+x^2-x+3)+96*exp(4/x))/x^2/exp(3*exp(4/x)-5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{-6 \,{\mathrm e}^{\frac{4}{x}}+10}+x^{4 x} {\mathrm e}^{2 \ln \left(x \right)^{2}+6+2 x^{2}-2 x}+4 x^{2 x} {\mathrm e}^{-3 \,{\mathrm e}^{\frac{4}{x}}+8+\ln \left(x \right)^{2}+x^{2}-x}$&$68$\\ \hline \end{longtable}"," ",0,"4*exp(-6*exp(4/x)+10)+(x^(2*x))^2*exp(2*ln(x)^2+6+2*x^2-2*x)+4*x^(2*x)*exp(-3*exp(4/x)+8+ln(x)^2+x^2-x)","B"
1585,1,24,29,0.045000," ","int(((34*x^3+103*x^2+96*x+48)*exp(x)+17*x^2-48)/((17*x^3+60*x^2+48*x)*exp(x)-17*x^3-60*x^2-48*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left({\mathrm e}^{x}-1\right)-\ln \left(17 x^{2}+60 x +48\right)+\ln \left(x \right)$&$24$\\ risch&$2 \ln \left({\mathrm e}^{x}-1\right)-\ln \left(17 x^{2}+60 x +48\right)+\ln \left(x \right)$&$24$\\ \hline \end{longtable}"," ",0,"2*ln(exp(x)-1)-ln(17*x^2+60*x+48)+ln(x)","A"
1586,1,5,6,0.009000," ","int(2/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x \right)$&$5$\\ norman&$2 \ln \left(x \right)$&$5$\\ risch&$2 \ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"2*ln(x)","A"
1587,1,36,24,0.471000," ","int((((-exp(5)-x)*ln(4*x)+(2*x-2)*exp(5)+2*x^2-2*x)*ln(exp(5)+x)+x*ln(4*x)+(20*x^2-20*x)*exp(5)+20*x^3-21*x^2+x)/((20*x^2*exp(5)+20*x^3)*ln(4*x)^2+((-40*x^3+40*x^2)*exp(5)-40*x^4+40*x^3)*ln(4*x)+(20*x^4-40*x^3+20*x^2)*exp(5)+20*x^5-40*x^4+20*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left({\mathrm e}^{5}+x \right)}{20 x \left(x -\ln \left(4 x \right)-1\right)}-\frac{1}{x -\ln \left(4 x \right)-1}$&$36$\\ \hline \end{longtable}"," ",0,"-1/20/x/(x-ln(4*x)-1)*ln(exp(5)+x)-1/(x-ln(4*x)-1)","A"
1588,1,24,34,0.076000," ","int((5*exp(1/2*(x^2-2*x+1)*exp(x)+1/2*x^3-x^2+1/2*x)+(-x^3+x)*exp(x)-3*x^3+4*x^2-x-2)/x^2/exp(1/2*(x^2-2*x+1)*exp(x)+1/2*x^3-x^2+1/2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5}{x}+\frac{2 \,{\mathrm e}^{-\frac{\left(x -1\right)^{2} \left({\mathrm e}^{x}+x \right)}{2}}}{x}$&$24$\\ norman&$\frac{\left(2-5 \,{\mathrm e}^{\frac{\left(x^{2}-2 x +1\right) {\mathrm e}^{x}}{2}+\frac{x^{3}}{2}-x^{2}+\frac{x}{2}}\right) {\mathrm e}^{-\frac{\left(x^{2}-2 x +1\right) {\mathrm e}^{x}}{2}-\frac{x^{3}}{2}+x^{2}-\frac{x}{2}}}{x}$&$65$\\ \hline \end{longtable}"," ",0,"-5/x+2/x*exp(-1/2*(x-1)^2*(exp(x)+x))","A"
1589,1,373,29,0.342000," ","int(((4*exp(x)*x+2*exp(2))*exp(exp(x)/exp(2))^2+(-8*x-8)*exp(2)*exp(5))/(x*exp(2)*exp(exp(x)/exp(2))^2+(-2*x^2-4*x)*exp(2)*exp(5))/ln((x^2*exp(exp(x)/exp(2))^4+(-4*x^3-8*x^2)*exp(5)*exp(exp(x)/exp(2))^2+(4*x^4+16*x^3+16*x^2)*exp(5)^2)/exp(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\left(2+x \right) {\mathrm e}^{5}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x -2}}}{2}\right)-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i \left(\left(2+x \right) {\mathrm e}^{5}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x -2}}}{2}\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(\left(2+x \right) {\mathrm e}^{5}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x -2}}}{2}\right)^{2}\right)-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \left(\left(2+x \right) {\mathrm e}^{5}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x -2}}}{2}\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(\left(2+x \right) {\mathrm e}^{5}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x -2}}}{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(\left(2+x \right) {\mathrm e}^{5}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x -2}}}{2}\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(\left(2+x \right) {\mathrm e}^{5}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x -2}}}{2}\right)\right) \mathrm{csgn}\left(i \left(\left(2+x \right) {\mathrm e}^{5}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x -2}}}{2}\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(\left(2+x \right) {\mathrm e}^{5}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x -2}}}{2}\right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i \left(\left(2+x \right) {\mathrm e}^{5}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x -2}}}{2}\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(\left(2+x \right) {\mathrm e}^{5}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x -2}}}{2}\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2} \left(\left(2+x \right) {\mathrm e}^{5}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x -2}}}{2}\right)^{2}\right)^{3}+4 i \ln \left(x \right)+4 i \ln \left(2\right)-20 i\right)}{4}\right)$&$373$\\ \hline \end{longtable}"," ",0,"ln(ln((2+x)*exp(5)-1/2*exp(2*exp(x-2)))-1/4*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*((2+x)*exp(5)-1/2*exp(2*exp(x-2)))^2)*csgn(I*x^2*((2+x)*exp(5)-1/2*exp(2*exp(x-2)))^2)-Pi*csgn(I*x^2)*csgn(I*x^2*((2+x)*exp(5)-1/2*exp(2*exp(x-2)))^2)^2+Pi*csgn(I*((2+x)*exp(5)-1/2*exp(2*exp(x-2))))^2*csgn(I*((2+x)*exp(5)-1/2*exp(2*exp(x-2)))^2)-2*Pi*csgn(I*((2+x)*exp(5)-1/2*exp(2*exp(x-2))))*csgn(I*((2+x)*exp(5)-1/2*exp(2*exp(x-2)))^2)^2+Pi*csgn(I*((2+x)*exp(5)-1/2*exp(2*exp(x-2)))^2)^3-Pi*csgn(I*((2+x)*exp(5)-1/2*exp(2*exp(x-2)))^2)*csgn(I*x^2*((2+x)*exp(5)-1/2*exp(2*exp(x-2)))^2)^2+Pi*csgn(I*x^2*((2+x)*exp(5)-1/2*exp(2*exp(x-2)))^2)^3+4*I*ln(x)+4*I*ln(2)-20*I))","C"
1590,1,35,24,0.369000," ","int(-24*exp(1/5*exp(16)^2*ln(2)^2-2/5*exp(16)^2*ln(2)+1/5*exp(16)^2)/(x^2*exp(1/5*exp(16)^2*ln(2)^2-2/5*exp(16)^2*ln(2)+1/5*exp(16)^2)^2+16*x*exp(1/5*exp(16)^2*ln(2)^2-2/5*exp(16)^2*ln(2)+1/5*exp(16)^2)+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{24}{x \,{\mathrm e}^{\frac{{\mathrm e}^{32} \ln \left(2\right)^{2}}{5}-\frac{2 \,{\mathrm e}^{32} \ln \left(2\right)}{5}+\frac{{\mathrm e}^{32}}{5}}+8}$&$35$\\ risch&$\frac{24 \,2^{\frac{2 \,{\mathrm e}^{32}}{5}} {\mathrm e}^{-\frac{{\mathrm e}^{32} \left(\ln \left(2\right)^{2}+1\right)}{5}}}{8 \,2^{\frac{2 \,{\mathrm e}^{32}}{5}} {\mathrm e}^{-\frac{{\mathrm e}^{32} \left(\ln \left(2\right)^{2}+1\right)}{5}}+x}$&$43$\\ meijerg&$-\frac{3 \,{\mathrm e}^{\frac{{\mathrm e}^{32} \ln \left(2\right)^{2}}{5}-\frac{2 \,{\mathrm e}^{32} \ln \left(2\right)}{5}+\frac{{\mathrm e}^{32}}{5}} x}{8 \left(1+2^{-3-\frac{2 \,{\mathrm e}^{32}}{5}} x \,{\mathrm e}^{\frac{{\mathrm e}^{32} \ln \left(2\right)^{2}}{5}+\frac{{\mathrm e}^{32}}{5}}\right)}$&$52$\\ norman&$-\frac{3 \,{\mathrm e}^{\frac{{\mathrm e}^{32} \ln \left(2\right)^{2}}{5}} 2^{-\frac{2 \,{\mathrm e}^{32}}{5}} {\mathrm e}^{\frac{{\mathrm e}^{32}}{5}} x}{x \,{\mathrm e}^{\frac{{\mathrm e}^{32} \ln \left(2\right)^{2}}{5}-\frac{2 \,{\mathrm e}^{32} \ln \left(2\right)}{5}+\frac{{\mathrm e}^{32}}{5}}+8}$&$63$\\ \hline \end{longtable}"," ",0,"24/(x*exp(1/5*exp(16)^2*ln(2)^2-2/5*exp(16)^2*ln(2)+1/5*exp(16)^2)+8)","A"
1591,1,36,23,0.146000," ","int((((4*x^2+2*x)*exp(x)^2-2*x^4+2*x^3)*exp(((4*x+2)*exp(x)^2+x^2)/exp(x)^2)-2*x*exp(x)^2*ln(x)-x*exp(x)^2)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} \ln \left(x \right)+{\mathrm e}^{\left(4 x \,{\mathrm e}^{2 x}+x^{2}+2 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{-2 x}} x^{2}$&$36$\\ default&$-x^{2} \ln \left(x \right)+{\mathrm e}^{\left(4 x \,{\mathrm e}^{2 x}+x^{2}+2 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{-2 x}} x^{2}$&$40$\\ \hline \end{longtable}"," ",0,"-x^2*ln(x)+exp((4*x*exp(2*x)+x^2+2*exp(2*x))*exp(-2*x))*x^2","A"
1592,1,24,25,0.180000," ","int((((2*x^2-24)*ln(5/2)+4*x^3-48*x)*ln((x^2-12)/(exp(2)*ln(5/2)+2*exp(2)*x))+4*x^2*ln(5/2)+4*x^3+48*x)/((x^2-12)*ln(5/2)+2*x^3-24*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 x \ln \left(\frac{x^{2}-12}{{\mathrm e}^{2} \ln \left(\frac{5}{2}\right)+2 \,{\mathrm e}^{2} x}\right)$&$24$\\ risch&$2 x \ln \left(\frac{x^{2}-12}{{\mathrm e}^{2} \left(\ln \left(5\right)-\ln \left(2\right)\right)+2 \,{\mathrm e}^{2} x}\right)$&$29$\\ default&$-4 x +\ln \left(-\ln \left(2\right)+\ln \left(5\right)+2 x \right) \ln \left(5\right)-\ln \left(-\ln \left(2\right)+\ln \left(5\right)+2 x \right) \ln \left(2\right)+2 x \ln \left(\frac{x^{2}-12}{\ln \left(\frac{5}{2}\right)+2 x}\right)-\ln \left(\frac{5}{2}\right) \ln \left(\ln \left(\frac{5}{2}\right)+2 x \right)$&$63$\\ \hline \end{longtable}"," ",0,"2*x*ln((x^2-12)/(exp(2)*ln(5/2)+2*exp(2)*x))","A"
1593,1,21,22,0.035000," ","int((x+1)*exp(exp(1)+x+14)-exp(x)*x+4*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left({\mathrm e}^{{\mathrm e}} {\mathrm e}^{14}-1\right) x \,{\mathrm e}^{x}+2 x^{2}+{\mathrm e}^{x}$&$21$\\ risch&${\mathrm e}^{{\mathrm e}+x +14} x -\left(x -1\right) {\mathrm e}^{x}+2 x^{2}$&$22$\\ default&${\mathrm e}^{{\mathrm e}+x +14} \left({\mathrm e}+x +14\right)-14 \,{\mathrm e}^{{\mathrm e}+x +14}-{\mathrm e}^{{\mathrm e}+x +14} {\mathrm e}+2 x^{2}-{\mathrm e}^{x} x +{\mathrm e}^{x}$&$44$\\ \hline \end{longtable}"," ",0,"(exp(exp(1))*exp(14)-1)*x*exp(x)+2*x^2+exp(x)","A"
1594,1,20,24,0.036000," ","int((-ln(2*ln(2))-3*x^2+12*x-4)*exp((5-x)*ln(2*ln(2))-x^3+6*x^2-4*x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\left(x -5\right) \left(x^{2}+\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)-x -1\right)}$&$20$\\ derivativedivides&${\mathrm e}^{\left(5-x \right) \ln \left(2 \ln \left(2\right)\right)-x^{3}+6 x^{2}-4 x -5}$&$28$\\ default&${\mathrm e}^{\left(5-x \right) \ln \left(2 \ln \left(2\right)\right)-x^{3}+6 x^{2}-4 x -5}$&$28$\\ norman&${\mathrm e}^{\left(5-x \right) \ln \left(2 \ln \left(2\right)\right)-x^{3}+6 x^{2}-4 x -5}$&$28$\\ gosper&${\mathrm e}^{-x^{3}-x \ln \left(2 \ln \left(2\right)\right)+6 x^{2}+5 \ln \left(2 \ln \left(2\right)\right)-4 x -5}$&$32$\\ \hline \end{longtable}"," ",0,"exp(-(x-5)*(x^2+ln(2)+ln(ln(2))-x-1))","A"
1595,1,8,7,0.279000," ","int(1/(3*exp(45)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(3 \,{\mathrm e}^{45}+x \right)$&$8$\\ norman&$\ln \left(3 \,{\mathrm e}^{45}+x \right)$&$8$\\ risch&$\ln \left(3 \,{\mathrm e}^{45}+x \right)$&$8$\\ meijerg&$\ln \left(1+\frac{x \,{\mathrm e}^{-45}}{3}\right)$&$9$\\ \hline \end{longtable}"," ",0,"ln(3*exp(45)+x)","A"
1596,1,34,33,0.286000," ","int((((-30*x^2-20*x)*ln((3*x+2)/x)^2-40*x*ln((3*x+2)/x)+(120*x+80)*exp(2))*exp((x*ln((3*x+2)/x)^2-2*exp(2))/x^2)-6*x^4-4*x^3)*exp(exp((x*ln((3*x+2)/x)^2-2*exp(2))/x^2)-1/5*x)^2/(15*x^4+10*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 \,{\mathrm e}^{-\frac{-x \ln \left(\frac{3 x +2}{x}\right)^{2}+2 \,{\mathrm e}^{2}}{x^{2}}}-\frac{2 x}{5}}$&$34$\\ \hline \end{longtable}"," ",0,"exp(2*exp(-(-x*ln((3*x+2)/x)^2+2*exp(2))/x^2)-2/5*x)","A"
1597,1,68,28,0.109000," ","int(((4*x^7-16*x^6+24*x^5-8*x^4-15*x^3+12*x^2+3*x)*ln(x)+2*x^8-4*x^7-4*x^6+20*x^5-14*x^4-7*x^3+8*x^2+5*x+1)/((4*x^8-16*x^7+24*x^6-8*x^5-11*x^4+6*x^3+5*x^2+x)*ln(x)+x^9-4*x^8+x^7+18*x^6-33*x^5+12*x^4+16*x^3-10*x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x^{3}-2 x^{2}+x +1\right)+\ln \left(x^{5}+4 x^{4} \ln \left(x \right)-2 x^{4}-8 x^{3} \ln \left(x \right)-4 x^{3}+4 x^{2} \ln \left(x \right)+11 x^{2}+4 x \ln \left(x \right)-5 x +\ln \left(x \right)-5\right)$&$68$\\ risch&$-\ln \left(x^{3}-2 x^{2}+x +1\right)+\ln \left(4 x^{4}-8 x^{3}+4 x^{2}+4 x +1\right)+\ln \left(\ln \left(x \right)+\frac{x^{5}-2 x^{4}-4 x^{3}+11 x^{2}-5 x -5}{4 x^{4}-8 x^{3}+4 x^{2}+4 x +1}\right)$&$87$\\ \hline \end{longtable}"," ",0,"-ln(x^3-2*x^2+x+1)+ln(x^5+4*x^4*ln(x)-2*x^4-8*x^3*ln(x)-4*x^3+4*x^2*ln(x)+11*x^2+4*x*ln(x)-5*x+ln(x)-5)","B"
1598,1,114,23,0.418000," ","int(((27*x^6-54*x^5+144*x^4-152*x^3+192*x^2-96*x+64)*exp(4)^3+(-27*x^6+84*x^4-96*x^3+144*x^2)*exp(4)^2)/((135*x^6-270*x^5+720*x^4-760*x^3+960*x^2-480*x+320)*exp(4)^3+(-405*x^6+540*x^5-1260*x^4+720*x^3-720*x^2)*exp(4)^2+(405*x^6-270*x^5+540*x^4)*exp(4)-135*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{9 x^{5} {\mathrm e}^{8}}{5}+\frac{\left(48 \,{\mathrm e}^{12}-96 \,{\mathrm e}^{8}\right) {\mathrm e}^{-4} x^{2}}{20}+\frac{\left(64 \,{\mathrm e}^{12}+48 \,{\mathrm e}^{8}\right) {\mathrm e}^{-4} x^{3}}{20}-\frac{3 \left(16 \,{\mathrm e}^{16}+96 \,{\mathrm e}^{12}-48 \,{\mathrm e}^{8}\right) {\mathrm e}^{-8} x^{4}}{80}+\frac{16 \,{\mathrm e}^{8}}{5}}{\left(3 x^{2} {\mathrm e}^{4}-2 x \,{\mathrm e}^{4}-3 x^{2}+4 \,{\mathrm e}^{4}\right)^{2}}$&$114$\\ gosper&$\frac{9 x^{5} {\mathrm e}^{8}-3 x^{4} {\mathrm e}^{8}+16 x^{3} {\mathrm e}^{8}-18 x^{4} {\mathrm e}^{4}+12 x^{2} {\mathrm e}^{8}+12 x^{3} {\mathrm e}^{4}+9 x^{4}-24 x^{2} {\mathrm e}^{4}+16 \,{\mathrm e}^{8}}{45 x^{4} {\mathrm e}^{8}-60 x^{3} {\mathrm e}^{8}-90 x^{4} {\mathrm e}^{4}+140 x^{2} {\mathrm e}^{8}+60 x^{3} {\mathrm e}^{4}+45 x^{4}-80 x \,{\mathrm e}^{8}-120 x^{2} {\mathrm e}^{4}+80 \,{\mathrm e}^{8}}$&$141$\\ risch&$\frac{x \,{\mathrm e}^{8}}{5 \,{\mathrm e}^{8}-10 \,{\mathrm e}^{4}+5}+\frac{\left(-\frac{16 \,{\mathrm e}^{12}}{9}+\frac{28 \,{\mathrm e}^{8}}{9}\right) x^{3}-\frac{16 \,{\mathrm e}^{8} \left({\mathrm e}^{8}+3 \,{\mathrm e}^{4}-3\right) x^{2}}{27 \left({\mathrm e}^{4}-1\right)}-\frac{16 \,{\mathrm e}^{8} \left(2 \,{\mathrm e}^{8}-9 \,{\mathrm e}^{4}+3\right) x}{27 \left({\mathrm e}^{4}-1\right)}-\frac{64 \,{\mathrm e}^{16}}{27 \left({\mathrm e}^{4}-1\right)}}{\left(5 \,{\mathrm e}^{8}-10 \,{\mathrm e}^{4}+5\right) \left(x^{4} {\mathrm e}^{8}-\frac{4 x^{3} {\mathrm e}^{8}}{3}-2 x^{4} {\mathrm e}^{4}+\frac{28 x^{2} {\mathrm e}^{8}}{9}+\frac{4 x^{3} {\mathrm e}^{4}}{3}+x^{4}-\frac{16 x \,{\mathrm e}^{8}}{9}-\frac{8 x^{2} {\mathrm e}^{4}}{3}+\frac{16 \,{\mathrm e}^{8}}{9}\right)}$&$153$\\ default&$\frac{{\mathrm e}^{8} \left(\frac{\left({\mathrm e}^{4}-1\right) x}{3 \,{\mathrm e}^{4}+{\mathrm e}^{12}-3 \,{\mathrm e}^{8}-1}+\frac{2 \left(\munderset{\textit{\_R} =\RootOf \left(\left(81 \,{\mathrm e}^{4}+27 \,{\mathrm e}^{12}-81 \,{\mathrm e}^{8}-27\right) \textit{\_Z}^{6}+\left(-54 \,{\mathrm e}^{4}-54 \,{\mathrm e}^{12}+108 \,{\mathrm e}^{8}\right) \textit{\_Z}^{5}+\left(108 \,{\mathrm e}^{4}+144 \,{\mathrm e}^{12}-252 \,{\mathrm e}^{8}\right) \textit{\_Z}^{4}+\left(-152 \,{\mathrm e}^{12}+144 \,{\mathrm e}^{8}\right) \textit{\_Z}^{3}+\left(192 \,{\mathrm e}^{12}-144 \,{\mathrm e}^{8}\right) \textit{\_Z}^{2}-96 \textit{\_Z} \,{\mathrm e}^{12}+64 \,{\mathrm e}^{12}\right)}{\sum}\frac{\left(3 \left(-15 \,{\mathrm e}^{8}+4 \,{\mathrm e}^{12}+18 \,{\mathrm e}^{4}-7\right) \textit{\_R}^{4}+2 \left(12-17 \,{\mathrm e}^{4}+8 \,{\mathrm e}^{12}-3 \,{\mathrm e}^{8}\right) \textit{\_R}^{3}+12 \left(-2 \,{\mathrm e}^{12}+5 \,{\mathrm e}^{4}-3\right) \textit{\_R}^{2}+24 \left({\mathrm e}^{4}+2 \,{\mathrm e}^{12}-3 \,{\mathrm e}^{8}\right) \textit{\_R} -16 \,{\mathrm e}^{4}-32 \,{\mathrm e}^{12}+48 \,{\mathrm e}^{8}\right) \ln \left(x -\textit{\_R} \right)}{27 \,{\mathrm e}^{12} \textit{\_R}^{5}-45 \textit{\_R}^{4} {\mathrm e}^{12}-81 \textit{\_R}^{5} {\mathrm e}^{8}+96 \textit{\_R}^{3} {\mathrm e}^{12}+90 \textit{\_R}^{4} {\mathrm e}^{8}+81 \textit{\_R}^{5} {\mathrm e}^{4}-76 \textit{\_R}^{2} {\mathrm e}^{12}-168 \textit{\_R}^{3} {\mathrm e}^{8}-45 \textit{\_R}^{4} {\mathrm e}^{4}-27 \textit{\_R}^{5}+64 \textit{\_R} \,{\mathrm e}^{12}+72 \textit{\_R}^{2} {\mathrm e}^{8}+72 \textit{\_R}^{3} {\mathrm e}^{4}-16 \,{\mathrm e}^{12}-48 \textit{\_R} \,{\mathrm e}^{8}}\right)}{3 \left(3 \,{\mathrm e}^{4}+{\mathrm e}^{12}-3 \,{\mathrm e}^{8}-1\right)}\right)}{5}$&$322$\\ \hline \end{longtable}"," ",0,"(9/5*x^5*exp(4)^2+1/20*(48*exp(4)^3-96*exp(4)^2)/exp(4)*x^2+1/20*(64*exp(4)^3+48*exp(4)^2)/exp(4)*x^3-3/80*(16*exp(4)^4+96*exp(4)^3-48*exp(4)^2)/exp(4)^2*x^4+16/5*exp(4)^2)/(3*x^2*exp(4)-2*x*exp(4)-3*x^2+4*exp(4))^2","B"
1599,1,27,22,0.023000," ","int((-3*ln(x)+(72*x^3+180*x^2)*exp(x^2+5*x)-143*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-143 x +36 \,{\mathrm e}^{x^{2}+5 x}+\frac{3 \ln \left(x \right)}{x}+\frac{3}{x}$&$27$\\ norman&$\frac{3-143 x^{2}+36 x \,{\mathrm e}^{x^{2}+5 x}+3 \ln \left(x \right)}{x}$&$27$\\ risch&$\frac{3 \ln \left(x \right)}{x}-\frac{143 x^{2}-36 x \,{\mathrm e}^{\left(5+x \right) x}-3}{x}$&$30$\\ \hline \end{longtable}"," ",0,"-143*x+36*exp(x^2+5*x)+3*ln(x)/x+3/x","A"
1600,1,57,33,0.165000," ","int((4*x^2*ln(5)-2*exp(2)+4*x^3+2*x)*exp((x*ln(5)^2+2*x^2*ln(5)+exp(2)+x^3)/x)^2+(4*x^4*ln(5)-2*x^2*exp(2)+4*x^5+8*x^3)*exp((x*ln(5)^2+2*x^2*ln(5)+exp(2)+x^3)/x)+6*x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25^{2 x} {\mathrm e}^{\frac{2 x \ln \left(5\right)^{2}+2 x^{3}+2 \,{\mathrm e}^{2}}{x}} x^{2}+2 \,25^{x} {\mathrm e}^{\frac{x \ln \left(5\right)^{2}+x^{3}+{\mathrm e}^{2}}{x}} x^{4}+x^{6}$&$57$\\ default&${\mathrm e}^{\frac{2 x \ln \left(5\right)^{2}+2 x^{2} \ln \left(25\right)+2 \,{\mathrm e}^{2}+2 x^{3}}{x}} x^{2}+2 \,{\mathrm e}^{\frac{x \ln \left(5\right)^{2}+2 x^{2} \ln \left(5\right)+{\mathrm e}^{2}+x^{3}}{x}} x^{4}+x^{6}$&$64$\\ norman&${\mathrm e}^{\frac{2 x \ln \left(5\right)^{2}+2 x^{2} \ln \left(25\right)+2 \,{\mathrm e}^{2}+2 x^{3}}{x}} x^{2}+2 \,{\mathrm e}^{\frac{x \ln \left(5\right)^{2}+2 x^{2} \ln \left(5\right)+{\mathrm e}^{2}+x^{3}}{x}} x^{4}+x^{6}$&$64$\\ \hline \end{longtable}"," ",0,"(25^x)^2*exp(2*(x*ln(5)^2+x^3+exp(2))/x)*x^2+2*25^x*exp((x*ln(5)^2+x^3+exp(2))/x)*x^4+x^6","A"
1601,1,34,31,0.324000," ","int((-5*x^6+58*x^5-211*x^4+260*x^3-151*x^2+10*x-55)*exp((-x^6+7*x^5-12*x^4+10*x^3-x^2+11*x)/(x-5))*exp(exp((-x^6+7*x^5-12*x^4+10*x^3-x^2+11*x)/(x-5))+5)/(x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{-\frac{x \left(x^{5}-7 x^{4}+12 x^{3}-10 x^{2}+x -11\right)}{x -5}}+5}$&$34$\\ norman&$\frac{x \,{\mathrm e}^{{\mathrm e}^{\frac{-x^{6}+7 x^{5}-12 x^{4}+10 x^{3}-x^{2}+11 x}{x -5}}+5}-5 \,{\mathrm e}^{{\mathrm e}^{\frac{-x^{6}+7 x^{5}-12 x^{4}+10 x^{3}-x^{2}+11 x}{x -5}}+5}}{x -5}$&$90$\\ \hline \end{longtable}"," ",0,"exp(exp(-x*(x^5-7*x^4+12*x^3-10*x^2+x-11)/(x-5))+5)","A"
1602,1,12,12,0.019000," ","int((x^2*ln(x)^2+200*ln(x)+200)/x^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\frac{200}{x \ln \left(x \right)}$&$12$\\ risch&$x -\frac{200}{x \ln \left(x \right)}$&$12$\\ norman&$\frac{-200+x^{2} \ln \left(x \right)}{x \ln \left(x \right)}$&$17$\\ \hline \end{longtable}"," ",0,"x-200/x/ln(x)","A"
1603,1,13,12,0.450000," ","int(((3+x)*ln(3+x)*ln(ln(3+x)^4)-4*x)/(3*x+9)/ln(3+x)/ln(ln(3+x)^4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{3 \ln \left(\ln \left(3+x \right)^{4}\right)}$&$13$\\ risch&$\frac{2 i x}{3 \left(\pi  \mathrm{csgn}\left(i \ln \left(3+x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(3+x \right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \ln \left(3+x \right)\right) \mathrm{csgn}\left(i \ln \left(3+x \right)^{2}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \ln \left(3+x \right)\right) \mathrm{csgn}\left(i \ln \left(3+x \right)^{2}\right) \mathrm{csgn}\left(i \ln \left(3+x \right)^{3}\right)-\pi  \,\mathrm{csgn}\left(i \ln \left(3+x \right)\right) \mathrm{csgn}\left(i \ln \left(3+x \right)^{3}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \ln \left(3+x \right)\right) \mathrm{csgn}\left(i \ln \left(3+x \right)^{3}\right) \mathrm{csgn}\left(i \ln \left(3+x \right)^{4}\right)-\pi  \,\mathrm{csgn}\left(i \ln \left(3+x \right)\right) \mathrm{csgn}\left(i \ln \left(3+x \right)^{4}\right)^{2}+\pi  \mathrm{csgn}\left(i \ln \left(3+x \right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i \ln \left(3+x \right)^{2}\right) \mathrm{csgn}\left(i \ln \left(3+x \right)^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i \ln \left(3+x \right)^{3}\right)^{3}-\pi  \,\mathrm{csgn}\left(i \ln \left(3+x \right)^{3}\right) \mathrm{csgn}\left(i \ln \left(3+x \right)^{4}\right)^{2}+\pi  \mathrm{csgn}\left(i \ln \left(3+x \right)^{4}\right)^{3}+8 i \ln \left(\ln \left(3+x \right)\right)\right)}$&$259$\\ \hline \end{longtable}"," ",0,"1/3*x/ln(ln(3+x)^4)","A"
1604,1,21,25,0.030000," ","int((9*x^4-208*x^3+8*x^2-448*x+1024)/(x^5-16*x^4+8*x^3-192*x^2+1024*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(x^{3}+8 x -64\right)+\ln \left(x \right)-4 \ln \left(x -16\right)$&$21$\\ norman&$4 \ln \left(x^{3}+8 x -64\right)+\ln \left(x \right)-4 \ln \left(x -16\right)$&$21$\\ risch&$4 \ln \left(x^{3}+8 x -64\right)+\ln \left(x \right)-4 \ln \left(x -16\right)$&$21$\\ \hline \end{longtable}"," ",0,"4*ln(x^3+8*x-64)+ln(x)-4*ln(x-16)","A"
1605,1,27,26,0.034000," ","int(((-x^3-10)*ln(x^2)^2+(2*x^4+15*x)*ln(x^2)-x^5-10*x)/(2*x^3*ln(x^2)^2-4*x^4*ln(x^2)+2*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{3}-5}{2 x^{2}}-\frac{5}{2 x \left(-\ln \left(x^{2}\right)+x \right)}$&$27$\\ norman&$\frac{\frac{x^{3} \ln \left(x^{2}\right)}{2}-\frac{x^{4}}{2}-\frac{5 \ln \left(x^{2}\right)}{2}}{x^{2} \left(-\ln \left(x^{2}\right)+x \right)}$&$36$\\ \hline \end{longtable}"," ",0,"-1/2*(x^3-5)/x^2-5/2/x/(-ln(x^2)+x)","A"
1606,1,11,10,0.027000," ","int(50*ln(6)*ln(2*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$25 \ln \left(2 x \right)^{2} \ln \left(6\right)$&$11$\\ default&$25 \ln \left(2 x \right)^{2} \ln \left(6\right)$&$11$\\ norman&$25 \ln \left(2 x \right)^{2} \ln \left(6\right)$&$11$\\ risch&$25 \ln \left(2 x \right)^{2} \ln \left(2\right)+25 \ln \left(2 x \right)^{2} \ln \left(3\right)$&$22$\\ \hline \end{longtable}"," ",0,"25*ln(2*x)^2*ln(6)","A"
1607,1,9,8,0.007000," ","int(9*x^2+36*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$3 x^{2} \left(x +6\right)$&$9$\\ default&$3 x^{3}+18 x^{2}$&$12$\\ norman&$3 x^{3}+18 x^{2}$&$12$\\ risch&$3 x^{3}+18 x^{2}$&$12$\\ \hline \end{longtable}"," ",0,"3*x^2*(x+6)","A"
1608,1,77,23,0.434000," ","int((96*x^4+48*x^3)*exp(2*x)^4*ln(x^8*exp(2*x)^8+(-6*x^4*exp(4)+8*x^4)*exp(2*x)^4+9*exp(4)^2-24*exp(4)+16)/(x^4*exp(2*x)^4-3*exp(4)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$12 \left(\ln \left(\left(-x^{4} {\mathrm e}^{8 x}+3 \,{\mathrm e}^{4}-4\right)^{2}\right)-2 \ln \left(-x^{4} {\mathrm e}^{8 x}+3 \,{\mathrm e}^{4}-4\right)\right) \ln \left(-x^{4} {\mathrm e}^{8 x}+3 \,{\mathrm e}^{4}-4\right)+12 \ln \left(-x^{4} {\mathrm e}^{8 x}+3 \,{\mathrm e}^{4}-4\right)^{2}$&$77$\\ risch&$-24 \ln \left(3\right) \ln \left(-x^{4} {\mathrm e}^{8 x}+3 \,{\mathrm e}^{4}-4\right)+12 \ln \left(-x^{4} {\mathrm e}^{8 x}+3 \,{\mathrm e}^{4}-4\right)^{2}-6 i \pi  \ln \left(-x^{4} {\mathrm e}^{8 x}+3 \,{\mathrm e}^{4}-4\right) \mathrm{csgn}\left(i \left(-\frac{x^{4} {\mathrm e}^{8 x}}{3}+{\mathrm e}^{4}-\frac{4}{3}\right)\right)^{2} \mathrm{csgn}\left(i \left(-\frac{x^{4} {\mathrm e}^{8 x}}{3}+{\mathrm e}^{4}-\frac{4}{3}\right)^{2}\right)+12 i \pi  \ln \left(-x^{4} {\mathrm e}^{8 x}+3 \,{\mathrm e}^{4}-4\right) \mathrm{csgn}\left(i \left(-\frac{x^{4} {\mathrm e}^{8 x}}{3}+{\mathrm e}^{4}-\frac{4}{3}\right)\right) \mathrm{csgn}\left(i \left(-\frac{x^{4} {\mathrm e}^{8 x}}{3}+{\mathrm e}^{4}-\frac{4}{3}\right)^{2}\right)^{2}-6 i \pi  \ln \left(-x^{4} {\mathrm e}^{8 x}+3 \,{\mathrm e}^{4}-4\right) \mathrm{csgn}\left(i \left(-\frac{x^{4} {\mathrm e}^{8 x}}{3}+{\mathrm e}^{4}-\frac{4}{3}\right)^{2}\right)^{3}$&$199$\\ \hline \end{longtable}"," ",0,"12*(ln((-x^4*exp(8*x)+3*exp(4)-4)^2)-2*ln(-x^4*exp(8*x)+3*exp(4)-4))*ln(-x^4*exp(8*x)+3*exp(4)-4)+12*ln(-x^4*exp(8*x)+3*exp(4)-4)^2","B"
1609,1,23,22,0.041000," ","int((-50*x^5+8*x^2+32*x)*exp(1)/(1875*x^8+1200*x^6+1200*x^5+2592*x^4+384*x^3+960*x^2+768*x+768),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2} {\mathrm e}}{75 x^{4}+24 x^{2}+24 x +48}$&$23$\\ risch&$\frac{x^{2} {\mathrm e}}{75 x^{4}+24 x^{2}+24 x +48}$&$23$\\ gosper&$\frac{x^{2} {\mathrm e}}{75 x^{4}+24 x^{2}+24 x +48}$&$25$\\ norman&$\frac{-\frac{x \,{\mathrm e}}{3}-\frac{25 x^{4} {\mathrm e}}{24}-\frac{2 \,{\mathrm e}}{3}}{25 x^{4}+8 x^{2}+8 x +16}$&$36$\\ \hline \end{longtable}"," ",0,"1/75*exp(1)*x^2/(x^4+8/25*x^2+8/25*x+16/25)","A"
1610,1,80,25,0.140000," ","int(1/5*(-exp(exp(2))*exp(1/20*exp(exp(2))/x^2)^2+(((x-1)*exp(3*x)+6-4*x)*exp(exp(2))+(-30*x^4+20*x^3)*exp(3*x)+40*x^3)*exp(1/20*exp(exp(2))/x^2)+(30*x^5-50*x^4+20*x^3)*exp(3*x)^2+(-120*x^5+220*x^4-80*x^3)*exp(3*x)+160*x^4-240*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{2}-48 x +\frac{\left(5 x^{2}-10 x +5\right) {\mathrm e}^{6 x}}{5}+\frac{\left(-40 x^{2}+100 x -60\right) {\mathrm e}^{3 x}}{5}+{\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{2}}}{10 x^{2}}}+\frac{\left(-10 x \,{\mathrm e}^{3 x}+40 x +10 \,{\mathrm e}^{3 x}-60\right) {\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{2}}}{20 x^{2}}}}{5}$&$80$\\ \hline \end{longtable}"," ",0,"16*x^2-48*x+1/5*(5*x^2-10*x+5)*exp(6*x)+1/5*(-40*x^2+100*x-60)*exp(3*x)+exp(1/10*exp(exp(2))/x^2)+1/5*(-10*x*exp(3*x)+40*x+10*exp(3*x)-60)*exp(1/20*exp(exp(2))/x^2)","B"
1611,1,5540,28,1.556000," ","int((((-2*x^2-8*x)*ln(x)*ln(5*exp(x)*ln(x)/x)+(-2*x^3-14*x^2-16*x+32)*ln(x)-2*x^2-16*x-32)*exp(ln(ln(5*exp(x)*ln(x)/x))+5)^2+((4*x^2+8*x)*ln(x)*ln(5*exp(x)*ln(x)/x)+(2*x^3+6*x^2-8*x)*ln(x)+2*x^2+8*x)*exp(ln(ln(5*exp(x)*ln(x)/x))+5)-2*x^2*ln(x)*ln(5*exp(x)*ln(x)/x))/x/ln(x)/ln(5*exp(x)*ln(x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$5540$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
1612,1,13,13,0.314000," ","int((exp(ln(2)^2)-16*x)/(x*exp(ln(2)^2)-8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \left({\mathrm e}^{\ln \left(2\right)^{2}}-8 x \right)\right)$&$13$\\ norman&$\ln \left(x \right)+\ln \left({\mathrm e}^{\ln \left(2\right)^{2}}-8 x \right)$&$14$\\ derivativedivides&$\ln \left(x \,{\mathrm e}^{\ln \left(2\right)^{2}}-8 x^{2}\right)$&$15$\\ risch&$\ln \left(-x \,{\mathrm e}^{\ln \left(2\right)^{2}}+8 x^{2}\right)$&$16$\\ meijerg&$\ln \left(1-8 x \,{\mathrm e}^{-\ln \left(2\right)^{2}}\right)+\ln \left(x \right)+3 \ln \left(2\right)-\ln \left(2\right)^{2}+i \pi$&$31$\\ \hline \end{longtable}"," ",0,"ln(x*(exp(ln(2)^2)-8*x))","A"
1613,1,24,21,0.046000," ","int(1/4*((-8*x+12)*exp(exp(1/16*x^2)^2)+x^3*exp(1/16*x^2)^2-8*x)/exp(exp(1/16*x^2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+3 x -x^{2} {\mathrm e}^{-{\mathrm e}^{\frac{x^{2}}{8}}}$&$24$\\ norman&$\left(-x^{2}+3 x \,{\mathrm e}^{{\mathrm e}^{\frac{x^{2}}{8}}}-x^{2} {\mathrm e}^{{\mathrm e}^{\frac{x^{2}}{8}}}\right) {\mathrm e}^{-{\mathrm e}^{\frac{x^{2}}{8}}}$&$45$\\ \hline \end{longtable}"," ",0,"-x^2+3*x-x^2*exp(-exp(1/8*x^2))","A"
1614,1,28,26,0.162000," ","int(((exp(x)*x^2-5*x^6-4*x^5-6*x^3)*exp(exp(x)-x^5-x^4-3*x^2-16)-3*exp(3/x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{3}{x}}+{\mathrm e}^{{\mathrm e}^{x}-x^{5}-x^{4}-3 x^{2}-16}$&$28$\\ \hline \end{longtable}"," ",0,"exp(3/x)+exp(exp(x)-x^5-x^4-3*x^2-16)","A"
1615,1,28,28,0.278000," ","int((-7*x^8-35*x^7+50*x^6+250*x^5-75*x^4-375*x^3+2*x^2+10*x+5)/(x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{7}+10 x^{5}-25 x^{3}+2 x +\ln \left(x \right)-\ln \left(5+x \right)$&$28$\\ norman&$-x^{7}+10 x^{5}-25 x^{3}+2 x +\ln \left(x \right)-\ln \left(5+x \right)$&$28$\\ risch&$-x^{7}+10 x^{5}-25 x^{3}+2 x +\ln \left(x \right)-\ln \left(5+x \right)$&$28$\\ meijerg&$-\ln \left(1+\frac{x}{5}\right)+\ln \left(x \right)-\ln \left(5\right)-\frac{3125 x \left(\frac{24}{3125} x^{6}-\frac{28}{625} x^{5}+\frac{168}{625} x^{4}-\frac{42}{25} x^{3}+\frac{56}{5} x^{2}-84 x +840\right)}{24}+\frac{3125 x \left(-\frac{14}{625} x^{5}+\frac{84}{625} x^{4}-\frac{21}{25} x^{3}+\frac{28}{5} x^{2}-42 x +420\right)}{12}+\frac{3125 x \left(\frac{12}{625} x^{4}-\frac{3}{25} x^{3}+\frac{4}{5} x^{2}-6 x +60\right)}{6}-\frac{3125 x \left(-\frac{3}{25} x^{3}+\frac{4}{5} x^{2}-6 x +60\right)}{6}-\frac{625 x \left(\frac{4}{25} x^{2}-\frac{6}{5} x +12\right)}{4}+\frac{625 x \left(-\frac{3 x}{5}+6\right)}{2}+2 x$&$142$\\ \hline \end{longtable}"," ",0,"-x^7+10*x^5-25*x^3+2*x+ln(x)-ln(5+x)","A"
1616,1,1389,24,0.332000," ","int(((-1800*x^2-7200*x)*ln(4+x)*ln(x^2/ln(4+x))^2+((14400*x^2+39600*x-72000)*ln(4+x)-1800*x^2+9000*x)*ln(x^2/ln(4+x))+(-27000*x^2-54000*x+216000)*ln(4+x)+5400*x^2-27000*x)/(x^5-11*x^4+15*x^3+175*x^2-500*x)/ln(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{900 \ln \left(\ln \left(4+x \right)\right)^{2}}{x^{2}-10 x +25}-\frac{900 \left(-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{3}+4 \ln \left(x \right)-6\right) \ln \left(\ln \left(4+x \right)\right)}{x^{2}-10 x +25}+\frac{8100-10800 \ln \left(x \right)+3600 \ln \left(x \right)^{2}-225 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}-225 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{2}+450 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{3}+450 \pi^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{3}-900 \pi^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{4}-1800 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-1800 i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{3}-2700 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{2}-2700 i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{2}+450 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{2}-450 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{3}-900 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{2}+900 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{3}-450 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)+450 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{2}-5400 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+2700 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+2700 i \pi  \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{3}-225 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{4}+450 \pi^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{5}-225 \pi^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{4}+450 \pi^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{5}+450 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{2}-450 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{3}-225 \pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}+900 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-1350 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+900 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-225 \pi^{2} \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{6}+2700 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+3600 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+1800 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{2}+1800 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{2}+2700 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)-450 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)+450 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{2}+900 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)-900 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)^{2}-1800 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-1800 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(4+x \right)}\right)}{x^{2}-10 x +25}$&$1389$\\ \hline \end{longtable}"," ",0,"900/(x^2-10*x+25)*ln(ln(4+x))^2-900*(-I*Pi*csgn(I*x^2)*csgn(I*x)^2+2*I*Pi*csgn(I*x^2)^2*csgn(I*x)-I*Pi*csgn(I*x^2)^3-I*Pi*csgn(I*x^2)*csgn(I/ln(4+x))*csgn(I*x^2/ln(4+x))+I*Pi*csgn(I*x^2)*csgn(I*x^2/ln(4+x))^2+I*Pi*csgn(I/ln(4+x))*csgn(I*x^2/ln(4+x))^2-I*Pi*csgn(I*x^2/ln(4+x))^3+4*ln(x)-6)/(x^2-10*x+25)*ln(ln(4+x))+225*(36-48*ln(x)+16*ln(x)^2-Pi^2*csgn(I*x^2)^6+2*Pi^2*csgn(I*x)^2*csgn(I*x^2)^2*csgn(I*x^2/ln(4+x))^2-2*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I*x^2/ln(4+x))^3-4*Pi^2*csgn(I*x)*csgn(I*x^2)^3*csgn(I*x^2/ln(4+x))^2+4*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I*x^2/ln(4+x))^3-2*Pi^2*csgn(I*x^2)^4*csgn(I/ln(4+x))*csgn(I*x^2/ln(4+x))+2*Pi^2*csgn(I*x^2)^3*csgn(I/ln(4+x))*csgn(I*x^2/ln(4+x))^2-Pi^2*csgn(I*x^2)^2*csgn(I/ln(4+x))^2*csgn(I*x^2/ln(4+x))^2+2*Pi^2*csgn(I*x^2)^2*csgn(I/ln(4+x))*csgn(I*x^2/ln(4+x))^3+2*Pi^2*csgn(I*x^2)*csgn(I/ln(4+x))^2*csgn(I*x^2/ln(4+x))^3-4*Pi^2*csgn(I*x^2)*csgn(I/ln(4+x))*csgn(I*x^2/ln(4+x))^4-8*I*ln(x)*Pi*csgn(I*x^2)^3-8*I*ln(x)*Pi*csgn(I*x^2/ln(4+x))^3+12*I*Pi*csgn(I*x)^2*csgn(I*x^2)-24*I*Pi*csgn(I*x)*csgn(I*x^2)^2-12*I*Pi*csgn(I*x^2)*csgn(I*x^2/ln(4+x))^2-12*I*Pi*csgn(I/ln(4+x))*csgn(I*x^2/ln(4+x))^2-Pi^2*csgn(I*x)^4*csgn(I*x^2)^2+4*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3-6*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4+4*Pi^2*csgn(I*x)*csgn(I*x^2)^5-Pi^2*csgn(I*x^2/ln(4+x))^6-2*Pi^2*csgn(I*x)^2*csgn(I*x^2)^2*csgn(I/ln(4+x))*csgn(I*x^2/ln(4+x))+2*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I/ln(4+x))*csgn(I*x^2/ln(4+x))^2+4*Pi^2*csgn(I*x)*csgn(I*x^2)^3*csgn(I/ln(4+x))*csgn(I*x^2/ln(4+x))-4*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I/ln(4+x))*csgn(I*x^2/ln(4+x))^2+12*I*Pi*csgn(I*x^2)*csgn(I/ln(4+x))*csgn(I*x^2/ln(4+x))-8*I*ln(x)*Pi*csgn(I*x)^2*csgn(I*x^2)+16*I*ln(x)*Pi*csgn(I*x)*csgn(I*x^2)^2+8*I*ln(x)*Pi*csgn(I*x^2)*csgn(I*x^2/ln(4+x))^2+8*I*ln(x)*Pi*csgn(I/ln(4+x))*csgn(I*x^2/ln(4+x))^2+12*I*Pi*csgn(I*x^2/ln(4+x))^3+12*I*Pi*csgn(I*x^2)^3-Pi^2*csgn(I*x^2)^2*csgn(I*x^2/ln(4+x))^4+2*Pi^2*csgn(I*x^2)*csgn(I*x^2/ln(4+x))^5-Pi^2*csgn(I/ln(4+x))^2*csgn(I*x^2/ln(4+x))^4+2*Pi^2*csgn(I/ln(4+x))*csgn(I*x^2/ln(4+x))^5+2*Pi^2*csgn(I*x^2)^4*csgn(I*x^2/ln(4+x))^2-2*Pi^2*csgn(I*x^2)^3*csgn(I*x^2/ln(4+x))^3-8*I*ln(x)*Pi*csgn(I*x^2)*csgn(I/ln(4+x))*csgn(I*x^2/ln(4+x)))/(x^2-10*x+25)","C"
1617,1,20,26,0.038000," ","int(1/2*(-2*exp(2)+8*x+1)*exp(exp(2)*x-2*x^2-1/2*x)+10,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$10 x -{\mathrm e}^{\frac{x \left(2 \,{\mathrm e}^{2}-4 x -1\right)}{2}}$&$20$\\ norman&$10 x -{\mathrm e}^{{\mathrm e}^{2} x -2 x^{2}-\frac{x}{2}}$&$21$\\ default&$10 x +\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{\left({\mathrm e}^{2}-\frac{1}{2}\right)^{2}}{8}} \sqrt{2}\, \erf \left(\sqrt{2}\, x -\frac{\left({\mathrm e}^{2}-\frac{1}{2}\right) \sqrt{2}}{4}\right)}{8}-{\mathrm e}^{-2 x^{2}+\left({\mathrm e}^{2}-\frac{1}{2}\right) x}+\frac{\left({\mathrm e}^{2}-\frac{1}{2}\right) \sqrt{\pi}\, {\mathrm e}^{\frac{\left({\mathrm e}^{2}-\frac{1}{2}\right)^{2}}{8}} \sqrt{2}\, \erf \left(\sqrt{2}\, x -\frac{\left({\mathrm e}^{2}-\frac{1}{2}\right) \sqrt{2}}{4}\right)}{4}-\frac{\sqrt{\pi}\, {\mathrm e}^{2+\frac{\left({\mathrm e}^{2}-\frac{1}{2}\right)^{2}}{8}} \sqrt{2}\, \erf \left(\sqrt{2}\, x -\frac{\left({\mathrm e}^{2}-\frac{1}{2}\right) \sqrt{2}}{4}\right)}{4}$&$125$\\ \hline \end{longtable}"," ",0,"10*x-exp(1/2*x*(2*exp(2)-4*x-1))","A"
1618,1,9,10,0.015000," ","int(-4/3*ln(176)+5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(-\frac{4 \ln \left(176\right)}{3}+5\right) x$&$9$\\ norman&$\left(-\frac{4 \ln \left(176\right)}{3}+5\right) x$&$9$\\ risch&$-\frac{16 x \ln \left(2\right)}{3}-\frac{4 x \ln \left(11\right)}{3}+5 x$&$15$\\ \hline \end{longtable}"," ",0,"(-4/3*ln(176)+5)*x","A"
1619,1,26,28,0.062000," ","int((-ln(x)^2+2*ln(x)-x^3*exp(1/4*x^2)^2+x^2-5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{5}{x}-{\mathrm e}^{\frac{x^{2}}{2}}+\frac{\ln \left(x \right)^{2}}{x}$&$26$\\ risch&$\frac{\ln \left(x \right)^{2}}{x}+\frac{-x \,{\mathrm e}^{\frac{x^{2}}{2}}+x^{2}+5}{x}$&$28$\\ \hline \end{longtable}"," ",0,"x+5/x-exp(1/4*x^2)^2+ln(x)^2/x","A"
1620,1,110,32,0.538000," ","int(((2*x^4-42*x^3+157*x^2+10*x)*ln(2*x)^5+(16*x^4-320*x^3+1200*x^2)*exp(x)*ln(2*x)^4+((-4*x^4+210*x^3-950*x^2)*exp(x)^2+(-16*x^3+336*x^2-1280*x)*exp(x))*ln(2*x)^3+((-48*x^3+240*x^2)*exp(x)^3+(4*x^3-212*x^2+960*x)*exp(x)^2)*ln(2*x)^2+((4*x^3-20*x^2)*exp(x)^4+(48*x^2-240*x)*exp(x)^3)*ln(2*x)+(-4*x^2+20*x)*exp(x)^4)/ln(2*x)^5/exp(((x^2-32*x+256)*ln(2*x)^4+(16*x-256)*exp(x)*ln(2*x)^3+(-2*x+96)*exp(x)^2*ln(2*x)^2-16*exp(x)^3*ln(2*x)+exp(x)^4)/ln(2*x)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x^{3}+5 x^{2}\right) {\mathrm e}^{-\frac{\ln \left(2 x \right)^{4} x^{2}+16 \,{\mathrm e}^{x} \ln \left(2 x \right)^{3} x -32 \ln \left(2 x \right)^{4} x -256 \,{\mathrm e}^{x} \ln \left(2 x \right)^{3}+256 \ln \left(2 x \right)^{4}-2 \,{\mathrm e}^{2 x} \ln \left(2 x \right)^{2} x +96 \,{\mathrm e}^{2 x} \ln \left(2 x \right)^{2}-16 \,{\mathrm e}^{3 x} \ln \left(2 x \right)+{\mathrm e}^{4 x}}{\ln \left(2 x \right)^{4}}}$&$110$\\ \hline \end{longtable}"," ",0,"(-x^3+5*x^2)*exp(-(ln(2*x)^4*x^2+16*exp(x)*ln(2*x)^3*x-32*ln(2*x)^4*x-256*exp(x)*ln(2*x)^3+256*ln(2*x)^4-2*exp(2*x)*ln(2*x)^2*x+96*exp(2*x)*ln(2*x)^2-16*exp(3*x)*ln(2*x)+exp(4*x))/ln(2*x)^4)","B"
1621,1,87,44,0.430000," ","int((-256*x^16-2048*x^15-3072*x^14+14336*x^13+39584*x^12-41984*x^11-178368*x^10+80384*x^9+456711*x^8-161536*x^7-721920*x^6+340480*x^5+642560*x^4-464896*x^3-196608*x^2+262144*x-65536)*exp((-16*x^9-64*x^8+32*x^7+320*x^6-11*x^5-646*x^4+128*x^3+512*x^2-256*x)/(32*x^8+128*x^7-64*x^6-640*x^5+22*x^4+1280*x^3-256*x^2-1024*x+512))/(512*x^16+4096*x^15+6144*x^14-28672*x^13-79168*x^12+84736*x^11+359040*x^10-161536*x^9-917262*x^8+323072*x^7+1436160*x^6-677888*x^5-1266688*x^4+917504*x^3+393216*x^2-524288*x+131072),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{x \left(16 x^{8}+64 x^{7}-32 x^{6}-320 x^{5}+11 x^{4}+646 x^{3}-128 x^{2}-512 x +256\right)}{2 \left(16 x^{8}+64 x^{7}-32 x^{6}-320 x^{5}+11 x^{4}+640 x^{3}-128 x^{2}-512 x +256\right)}}$&$87$\\ risch&${\mathrm e}^{-\frac{x \left(16 x^{8}+64 x^{7}-32 x^{6}-320 x^{5}+11 x^{4}+646 x^{3}-128 x^{2}-512 x +256\right)}{2 \left(16 x^{8}+64 x^{7}-32 x^{6}-320 x^{5}+11 x^{4}+640 x^{3}-128 x^{2}-512 x +256\right)}}$&$87$\\ norman&$\frac{-512 x \,{\mathrm e}^{\frac{-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}-128 x^{2} {\mathrm e}^{\frac{-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}+640 x^{3} {\mathrm e}^{\frac{-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}+11 x^{4} {\mathrm e}^{\frac{-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}-320 x^{5} {\mathrm e}^{\frac{-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}-32 x^{6} {\mathrm e}^{\frac{-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}+64 x^{7} {\mathrm e}^{\frac{-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}+16 x^{8} {\mathrm e}^{\frac{-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}+256 \,{\mathrm e}^{\frac{-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}}{16 x^{8}+64 x^{7}-32 x^{6}-320 x^{5}+11 x^{4}+640 x^{3}-128 x^{2}-512 x +256}$&$877$\\ \hline \end{longtable}"," ",0,"exp(-1/2*x*(16*x^8+64*x^7-32*x^6-320*x^5+11*x^4+646*x^3-128*x^2-512*x+256)/(16*x^8+64*x^7-32*x^6-320*x^5+11*x^4+640*x^3-128*x^2-512*x+256))","A"
1622,1,22,21,0.069000," ","int(((-3609*x^2-6*x+12)*exp(5)-1203*x^4-12*x^2)/(exp(5)^2+2*x^2*exp(5)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{12 x -1203 x^{3}+3 \,{\mathrm e}^{5}}{x^{2}+{\mathrm e}^{5}}$&$22$\\ norman&$\frac{12 x -1203 x^{3}+3 \,{\mathrm e}^{5}}{x^{2}+{\mathrm e}^{5}}$&$23$\\ risch&$-1203 x +\frac{\left(1203 \,{\mathrm e}^{5}+12\right) x +3 \,{\mathrm e}^{5}}{x^{2}+{\mathrm e}^{5}}$&$27$\\ default&$-1203 x -\frac{3 \left(-\frac{{\mathrm e}^{-5} \left(802 \,{\mathrm e}^{10}+8 \,{\mathrm e}^{5}\right) x}{2}-{\mathrm e}^{5}\right)}{x^{2}+{\mathrm e}^{5}}$&$68$\\ \hline \end{longtable}"," ",0,"3*(-401*x^3+exp(5)+4*x)/(x^2+exp(5))","A"
1623,1,22,18,0.375000," ","int((((x+1)*exp(1/2*x)^2-5)*ln(4*x^2)-2*exp(1/2*x)^2+10)/ln(4*x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{x} x -5 x}{\ln \left(4 x^{2}\right)}$&$22$\\ default&$-\frac{5 x}{\ln \left(4 x^{2}\right)}+\frac{x \,{\mathrm e}^{x}}{\ln \left(4 x^{2}\right)}$&$29$\\ risch&$\frac{2 i x \left({\mathrm e}^{x}-5\right)}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(2\right)+4 i \ln \left(x \right)}$&$66$\\ \hline \end{longtable}"," ",0,"(x*exp(1/2*x)^2-5*x)/ln(4*x^2)","A"
1624,1,31,22,0.088000," ","int((3*exp(exp(x)*x)^6-90*x^2*exp(exp(x)*x)^5+(1125*x^4+9*x)*exp(exp(x)*x)^4+(-7500*x^6-180*x^3)*exp(exp(x)*x)^3+((40*x^2+40*x)*exp(x)+28125*x^8+1350*x^5+9*x^2)*exp(exp(x)*x)^2+((-200*x^4-200*x^3)*exp(x)-56250*x^10-4500*x^7-90*x^4-400*x^2)*exp(exp(x)*x)+46875*x^12+5625*x^9+225*x^6+2000*x^4+3*x^3+20*x)/(3*x*exp(exp(x)*x)^6-90*x^3*exp(exp(x)*x)^5+(1125*x^5+9*x^2)*exp(exp(x)*x)^4+(-7500*x^7-180*x^4)*exp(exp(x)*x)^3+(28125*x^9+1350*x^6+9*x^3)*exp(exp(x)*x)^2+(-56250*x^11-4500*x^8-90*x^5)*exp(exp(x)*x)+46875*x^13+5625*x^10+225*x^7+3*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-\frac{10}{3 \left(25 x^{4}-10 \,{\mathrm e}^{{\mathrm e}^{x} x} x^{2}+{\mathrm e}^{2 \,{\mathrm e}^{x} x}+x \right)^{2}}$&$31$\\ \hline \end{longtable}"," ",0,"ln(x)-10/3/(25*x^4-10*exp(exp(x)*x)*x^2+exp(2*exp(x)*x)+x)^2","A"
1625,1,15,17,0.027000," ","int(1/4*(x^2*ln(3)+x^2+12)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x \ln \left(3\right)}{4}+\frac{x}{4}-\frac{3}{x}$&$15$\\ risch&$\frac{x \ln \left(3\right)}{4}+\frac{x}{4}-\frac{3}{x}$&$15$\\ gosper&$\frac{x^{2} \ln \left(3\right)+x^{2}-12}{4 x}$&$17$\\ norman&$\frac{-3+\left(\frac{\ln \left(3\right)}{4}+\frac{1}{4}\right) x^{2}}{x}$&$17$\\ \hline \end{longtable}"," ",0,"1/4*x*ln(3)+1/4*x-3/x","A"
1626,1,38,15,0.053000," ","int(46/45*exp(23/5*x+1)^2+1/45*(138*exp(5)+138*x+1594)*exp(23/5*x+1)+2*exp(5)+2*x+68/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{46 x}{5}+2}}{9}+\frac{\left(30 \,{\mathrm e}^{5}+340+30 x \right) {\mathrm e}^{\frac{23 x}{5}+1}}{45}+2 x \,{\mathrm e}^{5}+x^{2}+\frac{68 x}{3}$&$38$\\ norman&$x^{2}+\left(\frac{68}{9}+\frac{2 \,{\mathrm e}^{5}}{3}\right) {\mathrm e}^{\frac{23 x}{5}+1}+\left(2 \,{\mathrm e}^{5}+\frac{68}{3}\right) x +\frac{{\mathrm e}^{\frac{46 x}{5}+2}}{9}+\frac{2 \,{\mathrm e}^{\frac{23 x}{5}+1} x}{3}$&$45$\\ default&$\frac{68 x}{3}+x^{2}+\frac{{\mathrm e}^{\frac{46 x}{5}+2}}{9}+\frac{10 \,{\mathrm e}^{\frac{23 x}{5}+1} \left(\frac{23 x}{5}+1\right)}{69}+\frac{1534 \,{\mathrm e}^{\frac{23 x}{5}+1}}{207}+\frac{2 \,{\mathrm e}^{\frac{23 x}{5}+1} {\mathrm e}^{5}}{3}+2 x \,{\mathrm e}^{5}$&$54$\\ derivativedivides&$\frac{1534 x}{69}+\frac{7670}{1587}+\frac{25 \left(\frac{23 x}{5}+1\right)^{2}}{529}+\frac{{\mathrm e}^{\frac{46 x}{5}+2}}{9}+\frac{10 \,{\mathrm e}^{\frac{23 x}{5}+1} \left(\frac{23 x}{5}+1\right)}{69}+\frac{1534 \,{\mathrm e}^{\frac{23 x}{5}+1}}{207}+\frac{2 \,{\mathrm e}^{\frac{23 x}{5}+1} {\mathrm e}^{5}}{3}+\frac{10 \,{\mathrm e}^{5} \left(\frac{23 x}{5}+1\right)}{23}$&$65$\\ \hline \end{longtable}"," ",0,"1/9*exp(46/5*x+2)+1/45*(30*exp(5)+340+30*x)*exp(23/5*x+1)+2*x*exp(5)+x^2+68/3*x","B"
1627,1,7,6,0.015000," ","int(-exp(9-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{9-x}$&$7$\\ derivativedivides&${\mathrm e}^{9-x}$&$7$\\ default&${\mathrm e}^{9-x}$&$7$\\ norman&${\mathrm e}^{9-x}$&$7$\\ risch&${\mathrm e}^{9-x}$&$7$\\ meijerg&$-{\mathrm e}^{9} \left(1-{\mathrm e}^{-x}\right)$&$13$\\ \hline \end{longtable}"," ",0,"exp(9-x)","A"
1628,1,62,30,0.079000," ","int(((4*x^3-6*x^2+2*x)*exp(20*ln(2*x)/x)^3+((40*x-40)*exp(3)*ln(2*x)+(6*x^2-44*x+40)*exp(3)-36*x^3+54*x^2-18*x)*exp(20*ln(2*x)/x)^2+((40*exp(3)^2+(-120*x+120)*exp(3))*ln(2*x)+(2*x-40)*exp(3)^2+(-36*x^2+144*x-120)*exp(3)+108*x^3-162*x^2+54*x)*exp(20*ln(2*x)/x)-6*x*exp(3)^2+(54*x^2-36*x)*exp(3)-108*x^3+162*x^2-54*x)/(exp(20*ln(2*x)/x)^3-9*exp(20*ln(2*x)/x)^2+27*exp(20*ln(2*x)/x)-27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}-2 x^{3}+x^{2}+\frac{\left(2 \left(2 x \right)^{\frac{20}{x}} x +{\mathrm e}^{3}-6 x -2 \left(2 x \right)^{\frac{20}{x}}+6\right) x^{2} {\mathrm e}^{3}}{\left(\left(2 x \right)^{\frac{20}{x}}-3\right)^{2}}$&$62$\\ \hline \end{longtable}"," ",0,"x^4-2*x^3+x^2+(2*(2*x)^(20/x)*x+exp(3)-6*x-2*(2*x)^(20/x)+6)*x^2*exp(3)/((2*x)^(20/x)-3)^2","B"
1629,1,9,8,0.024000," ","int((1-x)*exp(x)/(exp(x)^2+2*exp(x)*x+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{{\mathrm e}^{x}+x}$&$9$\\ norman&$-\frac{{\mathrm e}^{x}}{{\mathrm e}^{x}+x}$&$11$\\ \hline \end{longtable}"," ",0,"x/(exp(x)+x)","A"
1630,1,29,22,0.039000," ","int((((-4*exp(x)*x+16*x)*exp(4*x)*exp(exp(4*x))+4*exp(x)*x-20*x)*exp(exp(exp(4*x)))+5*x*ln(x)-1)/((5*exp(x)*x-20*x)*exp(exp(exp(4*x)))+5*x*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{\ln \left({\mathrm e}^{x}-4\right)}{5}-\frac{\ln \left({\mathrm e}^{{\mathrm e}^{{\mathrm e}^{4 x}}}+\frac{\ln \left(x \right)}{{\mathrm e}^{x}-4}\right)}{5}$&$29$\\ \hline \end{longtable}"," ",0,"x-1/5*ln(exp(x)-4)-1/5*ln(exp(exp(exp(4*x)))+ln(x)/(exp(x)-4))","A"
1631,1,127,29,0.480000," ","int((((-384*x^5-1280*x^4-1024*x^3)*exp(x)-384*x^6-1280*x^5-1024*x^4)*ln(1/x*(exp(x)+x))+(384*x^6+1152*x^5+512*x^4-512*x^3)*exp(x)+256*x^7+768*x^6+512*x^5)/((exp(x)+x)*ln(1/x*(exp(x)+x))^3+(-3*exp(x)*x-3*x^2)*ln(1/x*(exp(x)+x))^2+(3*exp(x)*x^2+3*x^3)*ln(1/x*(exp(x)+x))-exp(x)*x^3-x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{256 \left(x^{2}+4 x +4\right) x^{4}}{\left(i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{3}+2 x +2 \ln \left(x \right)-2 \ln \left({\mathrm e}^{x}+x \right)\right)^{2}}$&$127$\\ \hline \end{longtable}"," ",0,"-256*(x^2+4*x+4)*x^4/(I*Pi*csgn(I/x)*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))-I*Pi*csgn(I/x)*csgn(I/x*(exp(x)+x))^2-I*Pi*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))^2+I*Pi*csgn(I/x*(exp(x)+x))^3+2*x+2*ln(x)-2*ln(exp(x)+x))^2","C"
1632,1,44,31,0.085000," ","int(((16*x^3-84*x^2+96*x+80)*ln(5)+x^8-14*x^7+73*x^6-128*x^5-256*x^4+1288*x^3-872*x^2-2592*x+3440)/(x^8-14*x^7+73*x^6-128*x^5-256*x^4+1320*x^3-1040*x^2-2400*x+3600),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{5}-412-37 x^{3}+104 x^{2}+80 x -4 \ln \left(5\right)}{x^{4}-7 x^{3}+12 x^{2}+20 x -60}$&$44$\\ gosper&$-\frac{-x^{5}+37 x^{3}-104 x^{2}+4 \ln \left(5\right)-80 x +412}{x^{4}-7 x^{3}+12 x^{2}+20 x -60}$&$47$\\ risch&$x -\frac{4 \ln \left(5\right)}{x^{4}-7 x^{3}+12 x^{2}+20 x -60}+\frac{8}{x^{4}-7 x^{3}+12 x^{2}+20 x -60}$&$49$\\ default&$x -\frac{\frac{4 \ln \left(5\right)}{11}-\frac{8}{11}}{x -3}-\frac{4 \left(\left(2-\ln \left(5\right)\right) x^{2}+\left(\ln \left(5\right)-2\right) x -6+3 \ln \left(5\right)\right)}{11 \left(x^{3}-4 x^{2}+20\right)}$&$52$\\ \hline \end{longtable}"," ",0,"(x^5-412-37*x^3+104*x^2+80*x-4*ln(5))/(x^4-7*x^3+12*x^2+20*x-60)","A"
1633,1,51,26,0.348000," ","int(((10*x+5)*exp(3)^4*exp(x)^4+(10*x^2-10*x)*exp(3)^2*exp(x)^2)/((x^4+2*x^3-17*x^2-18*x+81)*exp(3)^4*exp(x)^4+(-2*x^4-2*x^3+18*x^2)*exp(3)^2*exp(x)^2+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{5 \,{\mathrm e}^{6} {\mathrm e}^{2 x}}{x^{2} {\mathrm e}^{6} {\mathrm e}^{2 x}+{\mathrm e}^{6} {\mathrm e}^{2 x} x -9 \,{\mathrm e}^{6} {\mathrm e}^{2 x}-x^{2}}$&$51$\\ risch&$-\frac{5}{x^{2}+x -9}-\frac{5 x^{2}}{\left(x^{2}+x -9\right) \left(x^{2} {\mathrm e}^{2 x +6}+x \,{\mathrm e}^{2 x +6}-9 \,{\mathrm e}^{2 x +6}-x^{2}\right)}$&$59$\\ \hline \end{longtable}"," ",0,"-5*exp(3)^2*exp(x)^2/(x^2*exp(3)^2*exp(x)^2+exp(3)^2*exp(x)^2*x-9*exp(3)^2*exp(x)^2-x^2)","A"
1634,1,19,21,0.177000," ","int(32*exp(ln(5)+1)*exp(1/4*exp(ln(5)+1)/x/ln(3))/(x^2*ln(3)*exp(1/4*exp(ln(5)+1)/x/ln(3))^3-15*x^2*ln(3)*exp(1/4*exp(ln(5)+1)/x/ln(3))^2+75*x^2*ln(3)*exp(1/4*exp(ln(5)+1)/x/ln(3))-125*x^2*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{64}{\left({\mathrm e}^{\frac{5 \,{\mathrm e}}{4 x \ln \left(3\right)}}-5\right)^{2}}$&$19$\\ norman&$\frac{64}{\left({\mathrm e}^{\frac{{\mathrm e}^{\ln \left(5\right)+1}}{4 x \ln \left(3\right)}}-5\right)^{2}}$&$22$\\ derivativedivides&$\frac{64 \,{\mathrm e}^{2} {\mathrm e}^{-2}}{\left({\mathrm e}^{\frac{{\mathrm e}^{\ln \left(5\right)+1}}{4 x \ln \left(3\right)}}-5\right)^{2}}$&$33$\\ default&$\frac{64 \,{\mathrm e}^{2} {\mathrm e}^{-2}}{\left({\mathrm e}^{\frac{{\mathrm e}^{\ln \left(5\right)+1}}{4 x \ln \left(3\right)}}-5\right)^{2}}$&$33$\\ \hline \end{longtable}"," ",0,"64/(exp(5/4*exp(1)/x/ln(3))-5)^2","A"
1635,1,220,23,0.420000," ","int(((4*(-x^2+5*x)*ln(2)*exp(x)*exp(exp(x))+2*x)*ln(x/exp(x))*ln(ln(x/exp(x)))+4*(x^2-6*x+5)*ln(2)*exp(exp(x))+(-x^2+6*x-5)*ln(x^2-10*x+25))/(x^2-5*x)/ln(x/exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-4 \ln \left(2\right) {\mathrm e}^{{\mathrm e}^{x}}+2 \ln \left(x -5\right)\right) \ln \left(\ln \left(x \right)-\ln \left({\mathrm e}^{x}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{-x}\right)\right)}{2}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \left(x -5\right)^{2}\right) \left(\mathrm{csgn}\left(i \left(x -5\right)\right)^{2}-2 \,\mathrm{csgn}\left(i \left(x -5\right)^{2}\right) \mathrm{csgn}\left(i \left(x -5\right)\right)+\mathrm{csgn}\left(i \left(x -5\right)^{2}\right)^{2}\right) \ln \left(\ln \left({\mathrm e}^{x}\right)+\frac{i \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}+\pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}+2 i \ln \left(x \right)\right)}{2}\right)}{2}$&$220$\\ \hline \end{longtable}"," ",0,"(-4*ln(2)*exp(exp(x))+2*ln(x-5))*ln(ln(x)-ln(exp(x))-1/2*I*Pi*csgn(I*x*exp(-x))*(-csgn(I*x*exp(-x))+csgn(I*x))*(-csgn(I*x*exp(-x))+csgn(I*exp(-x))))-1/2*I*Pi*csgn(I*(x-5)^2)*(csgn(I*(x-5))^2-2*csgn(I*(x-5)^2)*csgn(I*(x-5))+csgn(I*(x-5)^2)^2)*ln(ln(exp(x))+1/2*I*(Pi*csgn(I*x)*csgn(I*exp(-x))*csgn(I*x*exp(-x))-Pi*csgn(I*x)*csgn(I*x*exp(-x))^2-Pi*csgn(I*exp(-x))*csgn(I*x*exp(-x))^2+Pi*csgn(I*x*exp(-x))^3+2*I*ln(x)))","C"
1636,1,29,26,0.114000," ","int(((4*x+8)*exp(2)*ln((2*x+4)/x)+(-x^3-10*x^2-18*x-8)*exp(2))/(x^3+10*x^2+32*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{2} x \ln \left(\frac{2 x +4}{x}\right)-x^{2} {\mathrm e}^{2}}{4+x}$&$29$\\ derivativedivides&$\frac{{\mathrm e}^{2} \ln \left(2+\frac{4}{x}\right) \left(2+\frac{4}{x}\right)}{\frac{4}{x}+1}-{\mathrm e}^{2} x +\frac{4 \,{\mathrm e}^{2}}{\frac{4}{x}+1}-{\mathrm e}^{2} \ln \left(2+\frac{4}{x}\right)$&$59$\\ default&$\frac{{\mathrm e}^{2} \ln \left(2+\frac{4}{x}\right) \left(2+\frac{4}{x}\right)}{\frac{4}{x}+1}-{\mathrm e}^{2} x +\frac{4 \,{\mathrm e}^{2}}{\frac{4}{x}+1}-{\mathrm e}^{2} \ln \left(2+\frac{4}{x}\right)$&$59$\\ risch&$-\frac{4 \,{\mathrm e}^{2} \ln \left(\frac{2 x +4}{x}\right)}{4+x}-\frac{{\mathrm e}^{2} \left(\ln \left(-x \right) x -\ln \left(-x -2\right) x +x^{2}+4 \ln \left(-x \right)-4 \ln \left(-x -2\right)+4 x +16\right)}{4+x}$&$67$\\ \hline \end{longtable}"," ",0,"(exp(2)*x*ln((2*x+4)/x)-x^2*exp(2))/(4+x)","A"
1637,1,26,21,0.077000," ","int(((-4*x^3-8*x^2)*exp(x)*exp(exp(x))+(64*x+128)*ln(2+x)-8*x^3-16*x^2-64*x)/((x^3+2*x^2)*exp(exp(x))^2+((32*x^2+64*x)*ln(2+x)+4*x^4+16*x^3+16*x^2)*exp(exp(x))+(256*x+512)*ln(2+x)^2+(64*x^3+256*x^2+256*x)*ln(2+x)+4*x^5+24*x^4+48*x^3+32*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x}{x \,{\mathrm e}^{{\mathrm e}^{x}}+2 x^{2}+16 \ln \left(2+x \right)+4 x}$&$26$\\ \hline \end{longtable}"," ",0,"4*x/(x*exp(exp(x))+2*x^2+16*ln(2+x)+4*x)","A"
1638,1,31,20,0.308000," ","int((-2*x^2*exp(2)-2*x^2-1)/(2*x^3*exp(2)+2*x^3-x)/ln((2*x^2*exp(2)+2*x^2-1)/(2*exp(2)*x+2*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left(\frac{2 x^{2} {\mathrm e}^{2}+2 x^{2}-1}{2 \,{\mathrm e}^{2} x +2 x}\right)\right)$&$31$\\ risch&$-\ln \left(\ln \left(\frac{2 x^{2} {\mathrm e}^{2}+2 x^{2}-1}{2 \,{\mathrm e}^{2} x +2 x}\right)\right)$&$31$\\ \hline \end{longtable}"," ",0,"-ln(ln((2*x^2*exp(2)+2*x^2-1)/(2*exp(2)*x+2*x)))","A"
1639,1,18,23,0.316000," ","int((3*x*exp(x/(x+1))-x^3-x^2+x+1)/(x^2+2*x+1)/exp(-3*exp(x/(x+1))+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{3 \,{\mathrm e}^{\frac{x}{x +1}}-x}$&$18$\\ norman&$\frac{\left(x^{2}+x \right) {\mathrm e}^{3 \,{\mathrm e}^{\frac{x}{x +1}}-x}}{x +1}$&$27$\\ \hline \end{longtable}"," ",0,"x*exp(3*exp(x/(x+1))-x)","A"
1640,1,29,33,0.232000," ","int(((2*x^3+5*x^2-10*x-25)*ln(-x^2+5)+13*x^4+68*x^3+100*x^2-350*x-875)/((x^2-5)*exp(3)*ln(-x^2+5)^2+(-2*x^4+16*x^3+80*x^2-80*x-350)*exp(3)*ln(-x^2+5)+(x^6-16*x^5-11*x^4+640*x^3+1255*x^2-2800*x-6125)*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(5+x \right) x \,{\mathrm e}^{-3}}{x^{2}-8 x -\ln \left(-x^{2}+5\right)-35}$&$29$\\ norman&$\frac{-13 x \,{\mathrm e}^{-3}-{\mathrm e}^{-3} \ln \left(-x^{2}+5\right)-35 \,{\mathrm e}^{-3}}{x^{2}-8 x -\ln \left(-x^{2}+5\right)-35}$&$50$\\ \hline \end{longtable}"," ",0,"-(5+x)*x*exp(-3)/(x^2-8*x-ln(-x^2+5)-35)","A"
1641,1,25,22,0.093000," ","int((((50*x^2-5*x-1)*exp(25*x^2-5*x-15)+x^2)*exp((exp(25*x^2-5*x-15)+x^2)/x)*exp(exp((exp(25*x^2-5*x-15)+x^2)/x))*exp(exp(exp((exp(25*x^2-5*x-15)+x^2)/x)))+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{25 x^{2}-5 x -15}+x^{2}}{x}}}}$&$25$\\ \hline \end{longtable}"," ",0,"x+exp(exp(exp((exp(25*x^2-5*x-15)+x^2)/x)))","A"
1642,1,36,32,0.105000," ","int(1/24*(48*exp(1)*exp(1/2*(x^3+x^2)/exp(1))+(3*x^2+2*x)*ln(3)+12*exp(1)-18*x^3-12*x^2)/exp(1)/exp(1/2*(x^3+x^2)/exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{\left(-2 \,{\mathrm e} \ln \left(3\right)+12 x \,{\mathrm e}\right) {\mathrm e}^{-1-\frac{x^{3} {\mathrm e}^{-1}}{2}-\frac{x^{2} {\mathrm e}^{-1}}{2}}}{24}$&$36$\\ norman&$\left(\frac{x}{2}+2 x \,{\mathrm e}^{\frac{\left(x^{3}+x^{2}\right) {\mathrm e}^{-1}}{2}}-\frac{\ln \left(3\right)}{12}\right) {\mathrm e}^{-\frac{\left(x^{3}+x^{2}\right) {\mathrm e}^{-1}}{2}}$&$43$\\ \hline \end{longtable}"," ",0,"2*x+1/24*(-2*exp(1)*ln(3)+12*x*exp(1))*exp(-1-1/2*x^3*exp(-1)-1/2*x^2*exp(-1))","A"
1643,1,14,13,0.029000," ","int(1/4*(exp(x)+4)*exp(x+1/4*exp(x))-ln(x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{x +\frac{{\mathrm e}^{x}}{4}}-x \ln \left(x \right)$&$14$\\ risch&${\mathrm e}^{x +\frac{{\mathrm e}^{x}}{4}}-x \ln \left(x \right)$&$14$\\ default&${\mathrm e}^{x} {\mathrm e}^{\frac{{\mathrm e}^{x}}{4}}-x \ln \left(x \right)$&$15$\\ \hline \end{longtable}"," ",0,"exp(x+1/4*exp(x))-x*ln(x)","A"
1644,1,249,23,0.653000," ","int((((5*ln(2)+5*x)*ln(x)^2+(80*ln(2)+exp(1)+80*x)*ln(x)+320*ln(2)+8*exp(1)+320*x)*ln(((5*ln(2)+5*x)*ln(x)+40*ln(2)+exp(1)+40*x)/(ln(x)+8))+5*x*ln(x)^2+80*x*ln(x)-exp(1)+320*x)*exp(x*ln(((5*ln(2)+5*x)*ln(x)+40*ln(2)+exp(1)+40*x)/(ln(x)+8))+3)/((5*ln(2)+5*x)*ln(x)^2+(80*ln(2)+exp(1)+80*x)*ln(x)+320*ln(2)+8*exp(1)+320*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\ln \left(x \right)+8\right)^{-x} \left({\mathrm e}+\left(5 \ln \left(x \right)+40\right) \ln \left(2\right)+\left(5 \ln \left(x \right)+40\right) x \right)^{x} {\mathrm e}^{3-\frac{i x \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}+\left(5 \ln \left(x \right)+40\right) \ln \left(2\right)+\left(5 \ln \left(x \right)+40\right) x \right)}{\ln \left(x \right)+8}\right)^{3}}{2}+\frac{i x \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}+\left(5 \ln \left(x \right)+40\right) \ln \left(2\right)+\left(5 \ln \left(x \right)+40\right) x \right)}{\ln \left(x \right)+8}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+8}\right)}{2}+\frac{i x \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}+\left(5 \ln \left(x \right)+40\right) \ln \left(2\right)+\left(5 \ln \left(x \right)+40\right) x \right)}{\ln \left(x \right)+8}\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}+\left(5 \ln \left(x \right)+40\right) \ln \left(2\right)+\left(5 \ln \left(x \right)+40\right) x \right)\right)}{2}-\frac{i x \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}+\left(5 \ln \left(x \right)+40\right) \ln \left(2\right)+\left(5 \ln \left(x \right)+40\right) x \right)}{\ln \left(x \right)+8}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+8}\right) \mathrm{csgn}\left(i \left({\mathrm e}+\left(5 \ln \left(x \right)+40\right) \ln \left(2\right)+\left(5 \ln \left(x \right)+40\right) x \right)\right)}{2}}$&$249$\\ \hline \end{longtable}"," ",0,"(ln(x)+8)^(-x)*(exp(1)+(5*ln(x)+40)*ln(2)+(5*ln(x)+40)*x)^x*exp(3-1/2*I*x*Pi*csgn(I/(ln(x)+8)*(exp(1)+(5*ln(x)+40)*ln(2)+(5*ln(x)+40)*x))^3+1/2*I*x*Pi*csgn(I/(ln(x)+8)*(exp(1)+(5*ln(x)+40)*ln(2)+(5*ln(x)+40)*x))^2*csgn(I/(ln(x)+8))+1/2*I*x*Pi*csgn(I/(ln(x)+8)*(exp(1)+(5*ln(x)+40)*ln(2)+(5*ln(x)+40)*x))^2*csgn(I*(exp(1)+(5*ln(x)+40)*ln(2)+(5*ln(x)+40)*x))-1/2*I*x*Pi*csgn(I/(ln(x)+8)*(exp(1)+(5*ln(x)+40)*ln(2)+(5*ln(x)+40)*x))*csgn(I/(ln(x)+8))*csgn(I*(exp(1)+(5*ln(x)+40)*ln(2)+(5*ln(x)+40)*x)))","C"
1645,1,53,24,0.047000," ","int((((6*x^2+6)*ln(x)+6*x^2-x-6)*exp((3*x^2-3)*ln(x)/x)^2-4*x^3)/(x^2*exp((3*x^2-3)*ln(x)/x)^2-4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 \left(x^{2}-1\right) \ln \left(x \right)}{x}-\ln \left(x \right)-\frac{2 \left(3 x^{2}-3\right) \ln \left(x \right)}{x}+\ln \left(x^{\frac{6 x^{2}-6}{x}}-4 x^{2}\right)$&$53$\\ \hline \end{longtable}"," ",0,"6*(x^2-1)*ln(x)/x-ln(x)-2*(3*x^2-3)*ln(x)/x+ln((x^(3*(x^2-1)/x))^2-4*x^2)","B"
1646,1,65,24,0.099000," ","int(((-4*ln(x)+2)*ln(x^2)*ln(ln(x^2))+(2*x*ln(x)+6*x^3-2*x)*ln(x^2)+4*ln(x))/(x*ln(x)*ln(x^2)*ln(ln(x^2))+(-x^2*ln(x)+3*x^4)*ln(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)+2 \ln \left(\ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+\frac{x \left(3 x^{2}-\ln \left(x \right)\right)}{\ln \left(x \right)}\right)$&$65$\\ \hline \end{longtable}"," ",0,"-4*ln(x)+2*ln(ln(x))+2*ln(ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+x*(3*x^2-ln(x))/ln(x))","C"
1647,1,84,30,0.280000," ","int(((20*exp(3)+4*x^2)*ln((5*exp(3)+x^2)/exp(3))^3*ln(3*x)^3+4*x^2*ln(10)*ln((5*exp(3)+x^2)/exp(3))*ln(3*x)^2+(-20*exp(3)-4*x^2)*ln(10)*ln((5*exp(3)+x^2)/exp(3))^2*ln(3*x)+(5*exp(3)+x^2)*ln((5*exp(3)+x^2)/exp(3))^3-4*x^2*ln(10)^2)/(5*x*exp(3)+x^3)/ln((5*exp(3)+x^2)/exp(3))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(3 x \right)^{4}+\ln \left(x \right)+\frac{-2 \ln \left(3 x \right)^{2} \ln \left(\left(5 \,{\mathrm e}^{3}+x^{2}\right) {\mathrm e}^{-3}\right) \ln \left(5\right)-2 \ln \left(3 x \right)^{2} \ln \left(\left(5 \,{\mathrm e}^{3}+x^{2}\right) {\mathrm e}^{-3}\right) \ln \left(2\right)+\ln \left(5\right)^{2}+2 \ln \left(2\right) \ln \left(5\right)+\ln \left(2\right)^{2}}{\ln \left(\left(5 \,{\mathrm e}^{3}+x^{2}\right) {\mathrm e}^{-3}\right)^{2}}$&$84$\\ \hline \end{longtable}"," ",0,"ln(3*x)^4+ln(x)+(-2*ln(3*x)^2*ln((5*exp(3)+x^2)*exp(-3))*ln(5)-2*ln(3*x)^2*ln((5*exp(3)+x^2)*exp(-3))*ln(2)+ln(5)^2+2*ln(2)*ln(5)+ln(2)^2)/ln((5*exp(3)+x^2)*exp(-3))^2","B"
1648,1,19,14,0.033000," ","int(ln(4/9*x*exp(exp(3))^2)+2*x-4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-5 x +\ln \left(\frac{4 x \,{\mathrm e}^{2 \,{\mathrm e}^{3}}}{9}\right) x$&$19$\\ norman&$x^{2}-5 x +\ln \left(\frac{4 x \,{\mathrm e}^{2 \,{\mathrm e}^{3}}}{9}\right) x$&$19$\\ risch&$x^{2}-5 x +\ln \left(\frac{4 x \,{\mathrm e}^{2 \,{\mathrm e}^{3}}}{9}\right) x$&$19$\\ derivativedivides&$\frac{9 \,{\mathrm e}^{-2 \,{\mathrm e}^{3}} \left(-\frac{40 x \,{\mathrm e}^{2 \,{\mathrm e}^{3}}}{9}+\frac{8 x^{2} {\mathrm e}^{2 \,{\mathrm e}^{3}}}{9}+\frac{8 x \,{\mathrm e}^{2 \,{\mathrm e}^{3}} \ln \left(\frac{4 x \,{\mathrm e}^{2 \,{\mathrm e}^{3}}}{9}\right)}{9}\right)}{8}$&$44$\\ \hline \end{longtable}"," ",0,"x^2-5*x+ln(4/9*x*exp(exp(3))^2)*x","A"
1649,1,19,19,0.176000," ","int(((-3-x)*exp(5)-2*x^2-9*x)/x^5/exp((-exp(5)+2*x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(3+x \right) {\mathrm e}^{\frac{{\mathrm e}^{5}-2 x}{x}}}{x^{3}}$&$19$\\ gosper&$\frac{\left(3+x \right) {\mathrm e}^{\frac{{\mathrm e}^{5}-2 x}{x}}}{x^{3}}$&$22$\\ norman&$\frac{\left(x^{2}+3 x \right) {\mathrm e}^{-\frac{-{\mathrm e}^{5}+2 x}{x}}}{x^{4}}$&$27$\\ meijerg&$2 \,{\mathrm e}^{-8+\frac{{\mathrm e}^{5}}{x}-\frac{{\mathrm e}^{3}}{x}} \left(1-\frac{\left(2-\frac{2 \,{\mathrm e}^{3}}{x}\right) {\mathrm e}^{\frac{{\mathrm e}^{3}}{x}}}{2}\right)+{\mathrm e}^{-11+\frac{{\mathrm e}^{5}}{x}-\frac{{\mathrm e}^{3}}{x}} \left(-{\mathrm e}^{5}-9\right) \left(2-\frac{\left(\frac{3 \,{\mathrm e}^{6}}{x^{2}}-\frac{6 \,{\mathrm e}^{3}}{x}+6\right) {\mathrm e}^{\frac{{\mathrm e}^{3}}{x}}}{3}\right)+3 \,{\mathrm e}^{-9+\frac{{\mathrm e}^{5}}{x}-\frac{{\mathrm e}^{3}}{x}} \left(6-\frac{\left(-\frac{4 \,{\mathrm e}^{9}}{x^{3}}+\frac{12 \,{\mathrm e}^{6}}{x^{2}}-\frac{24 \,{\mathrm e}^{3}}{x}+24\right) {\mathrm e}^{\frac{{\mathrm e}^{3}}{x}}}{4}\right)$&$142$\\ derivativedivides&$-{\mathrm e}^{-20} \left({\mathrm e}^{10} \left(-\left(\left(2-\frac{{\mathrm e}^{5}}{x}\right)^{2}-\frac{4 \,{\mathrm e}^{5}}{x}+16\right) {\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}-8 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)-24 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} {\mathrm e}^{5}+16 \,{\mathrm e}^{10} \left({\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} x \,{\mathrm e}^{-5}+{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)+72 \,{\mathrm e}^{5} {\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)+8 \,{\mathrm e}^{10} {\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)-36 \,{\mathrm e}^{5} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(2-\frac{{\mathrm e}^{5}}{x}\right)-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}\right)+18 \,{\mathrm e}^{5} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(2-\frac{{\mathrm e}^{5}}{x}\right)^{2}-2 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(2-\frac{{\mathrm e}^{5}}{x}\right)-2 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}\right)-3 \,{\mathrm e}^{5} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(2-\frac{{\mathrm e}^{5}}{x}\right)^{3}-3 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(2-\frac{{\mathrm e}^{5}}{x}\right)^{2}-6 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(2-\frac{{\mathrm e}^{5}}{x}\right)-6 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}\right)-24 \,{\mathrm e}^{10} \left(2 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} x \,{\mathrm e}^{-5}+{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)+12 \,{\mathrm e}^{10} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}+4 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} x \,{\mathrm e}^{-5}\right)-2 \,{\mathrm e}^{10} \left(-\left(-\frac{{\mathrm e}^{5}}{x}+7\right) {\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}+8 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} x \,{\mathrm e}^{-5}-4 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)+108 \,{\mathrm e}^{5} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}-2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)-54 \,{\mathrm e}^{5} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(-\frac{{\mathrm e}^{5}}{x}+5\right)-4 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)+9 \,{\mathrm e}^{5} \left(-\left(\left(2-\frac{{\mathrm e}^{5}}{x}\right)^{2}-\frac{4 \,{\mathrm e}^{5}}{x}+16\right) {\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}-8 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)+12 \,{\mathrm e}^{10} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}-2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)-6 \,{\mathrm e}^{10} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(-\frac{{\mathrm e}^{5}}{x}+5\right)-4 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)\right)$&$653$\\ default&$-{\mathrm e}^{-20} \left({\mathrm e}^{10} \left(-\left(\left(2-\frac{{\mathrm e}^{5}}{x}\right)^{2}-\frac{4 \,{\mathrm e}^{5}}{x}+16\right) {\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}-8 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)-24 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} {\mathrm e}^{5}+16 \,{\mathrm e}^{10} \left({\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} x \,{\mathrm e}^{-5}+{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)+72 \,{\mathrm e}^{5} {\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)+8 \,{\mathrm e}^{10} {\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)-36 \,{\mathrm e}^{5} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(2-\frac{{\mathrm e}^{5}}{x}\right)-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}\right)+18 \,{\mathrm e}^{5} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(2-\frac{{\mathrm e}^{5}}{x}\right)^{2}-2 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(2-\frac{{\mathrm e}^{5}}{x}\right)-2 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}\right)-3 \,{\mathrm e}^{5} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(2-\frac{{\mathrm e}^{5}}{x}\right)^{3}-3 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(2-\frac{{\mathrm e}^{5}}{x}\right)^{2}-6 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(2-\frac{{\mathrm e}^{5}}{x}\right)-6 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}\right)-24 \,{\mathrm e}^{10} \left(2 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} x \,{\mathrm e}^{-5}+{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)+12 \,{\mathrm e}^{10} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}+4 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} x \,{\mathrm e}^{-5}\right)-2 \,{\mathrm e}^{10} \left(-\left(-\frac{{\mathrm e}^{5}}{x}+7\right) {\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}+8 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} x \,{\mathrm e}^{-5}-4 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)+108 \,{\mathrm e}^{5} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}-2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)-54 \,{\mathrm e}^{5} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(-\frac{{\mathrm e}^{5}}{x}+5\right)-4 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)+9 \,{\mathrm e}^{5} \left(-\left(\left(2-\frac{{\mathrm e}^{5}}{x}\right)^{2}-\frac{4 \,{\mathrm e}^{5}}{x}+16\right) {\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}-8 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)+12 \,{\mathrm e}^{10} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2}-2 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)-6 \,{\mathrm e}^{10} \left(-{\mathrm e}^{\frac{{\mathrm e}^{5}}{x}-2} \left(-\frac{{\mathrm e}^{5}}{x}+5\right)-4 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{{\mathrm e}^{5}}{x}\right)\right)\right)$&$653$\\ \hline \end{longtable}"," ",0,"(3+x)/x^3*exp((exp(5)-2*x)/x)","A"
1650,1,65,15,0.216000," ","int(((x*ln(x)-x)*ln(5/4*x)^3-ln(5/4*x)-2*ln(x))/x/ln(x)^2/ln(5/4*x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4-16 x \ln \left(2\right) \ln \left(x \right)-16 x \ln \left(2\right) \ln \left(5\right)+16 x \ln \left(2\right)^{2}+4 x \ln \left(x \right)^{2}+4 x \ln \left(5\right)^{2}+8 x \ln \left(5\right) \ln \left(x \right)}{\left(2 \ln \left(5\right)-4 \ln \left(2\right)+2 \ln \left(x \right)\right)^{2} \ln \left(x \right)}$&$65$\\ \hline \end{longtable}"," ",0,"(4-16*x*ln(2)*ln(x)-16*x*ln(2)*ln(5)+16*x*ln(2)^2+4*x*ln(x)^2+4*x*ln(5)^2+8*x*ln(5)*ln(x))/(2*ln(5)-4*ln(2)+2*ln(x))^2/ln(x)","B"
1651,1,24,25,0.250000," ","int(((exp(x)*x^2+1)*ln(x)+(-3*x^2-x)*exp(x)+2*x-2)/(x^2*ln(2)*ln(x)^2-6*x^2*ln(2)*ln(x)+9*x^2*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x} x -2 x -1}{x \ln \left(2\right) \left(\ln \left(x \right)-3\right)}$&$24$\\ norman&$\frac{-\frac{2 x}{\ln \left(2\right)}+\frac{x \,{\mathrm e}^{x}}{\ln \left(2\right)}-\frac{1}{\ln \left(2\right)}}{x \left(\ln \left(x \right)-3\right)}$&$33$\\ default&$\frac{-\frac{2 x}{\ln \left(2\right)}-\frac{1}{\ln \left(2\right)}}{x \left(\ln \left(x \right)-3\right)}+\frac{{\mathrm e}^{x}}{\ln \left(2\right) \left(\ln \left(x \right)-3\right)}$&$39$\\ \hline \end{longtable}"," ",0,"1/x*(exp(x)*x-2*x-1)/ln(2)/(ln(x)-3)","A"
1652,1,10,9,0.018000," ","int(5/(exp(3)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5 x}{{\mathrm e}^{3}+9}$&$10$\\ norman&$\frac{5 x}{{\mathrm e}^{3}+9}$&$10$\\ risch&$\frac{5 x}{{\mathrm e}^{3}+9}$&$10$\\ \hline \end{longtable}"," ",0,"5*x/(exp(3)+9)","A"
1653,1,19,19,0.076000," ","int(1/5*((-4352*x^3-4096*x^2+256*x)*exp(x)+(-34*x+1)*ln(2)^4)*exp(256*x*exp(x)/ln(2)^4)/ln(2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(17 x -1\right) x \,{\mathrm e}^{\frac{256 x \,{\mathrm e}^{x}}{\ln \left(2\right)^{4}}}}{5}$&$19$\\ norman&$\frac{\frac{x \ln \left(2\right)^{3} {\mathrm e}^{\frac{256 x \,{\mathrm e}^{x}}{\ln \left(2\right)^{4}}}}{5}-\frac{17 x^{2} \ln \left(2\right)^{3} {\mathrm e}^{\frac{256 x \,{\mathrm e}^{x}}{\ln \left(2\right)^{4}}}}{5}}{\ln \left(2\right)^{3}}$&$43$\\ \hline \end{longtable}"," ",0,"-1/5*(17*x-1)*x*exp(256*x*exp(x)/ln(2)^4)","A"
1654,1,49,20,0.075000," ","int(1/4*((3*ln(x)^2+4*x*ln(x)+8*x)*ln(3*x)+(x+1)*ln(x)^3+3*x*ln(x)^2+(8*x^2+4*x)*ln(x)+12*x^2+4*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{4}}{4}+\frac{\left(\ln \left(3\right)+x \right) \ln \left(x \right)^{3}}{4}+x \ln \left(x \right)^{2}+\frac{\left(4 x \ln \left(3\right)+4 x^{2}+4 x \right) \ln \left(x \right)}{4}+x \ln \left(3\right)+x^{2}$&$49$\\ default&$\frac{x \ln \left(x \right)^{3}}{4}+x \ln \left(x \right)^{2}+x \ln \left(x \right)+\frac{\ln \left(x \right)^{4}}{4}+\frac{\ln \left(3\right) \ln \left(x \right)^{3}}{4}+\ln \left(3\right) \left(x \ln \left(x \right)-x \right)+x^{2} \ln \left(x \right)+x^{2}+2 x \ln \left(3\right)$&$58$\\ \hline \end{longtable}"," ",0,"1/4*ln(x)^4+1/4*(ln(3)+x)*ln(x)^3+x*ln(x)^2+1/4*(4*x*ln(3)+4*x^2+4*x)*ln(x)+x*ln(3)+x^2","B"
1655,1,28,24,0.025000," ","int(((-75*x^3-50*x^2-125*x)*ln(x)+25*x^7+50*x^6+125*x^5+500*x^4-600*x^3+1275*x^2-3000*x+125)/(2*x*ln(x)^2+(4*x^5+40*x^3+100*x)*ln(x)+2*x^9+40*x^7+300*x^5+1000*x^3+1250*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{25 \left(x^{3}+x^{2}+5 x +5\right)}{2 \left(x^{4}+10 x^{2}+\ln \left(x \right)+25\right)}$&$28$\\ \hline \end{longtable}"," ",0,"-25/2*(x^3+x^2+5*x+5)/(x^4+10*x^2+ln(x)+25)","A"
1656,1,47,24,0.307000," ","int(((8*x^4-2)*exp(x^4)-4*exp(3)+2*x^2+4)/(2*x^2*exp(5)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{4 \,{\mathrm e}^{3}-4}{2 \,{\mathrm e}^{5}+1}+\frac{2 x^{2}}{2 \,{\mathrm e}^{5}+1}+\frac{2 \,{\mathrm e}^{x^{4}}}{2 \,{\mathrm e}^{5}+1}}{x}$&$47$\\ risch&$\frac{2 x}{2 \,{\mathrm e}^{5}+1}+\frac{8 \,{\mathrm e}^{8}}{\left(2 \,{\mathrm e}^{5}+1\right)^{2} x}-\frac{8 \,{\mathrm e}^{5}}{\left(2 \,{\mathrm e}^{5}+1\right)^{2} x}+\frac{4 \,{\mathrm e}^{3}}{\left(2 \,{\mathrm e}^{5}+1\right)^{2} x}-\frac{4}{\left(2 \,{\mathrm e}^{5}+1\right)^{2} x}+\frac{2 \,{\mathrm e}^{x^{4}}}{\left(2 \,{\mathrm e}^{5}+1\right) x}$&$88$\\ \hline \end{longtable}"," ",0,"(4*(exp(3)-1)/(2*exp(5)+1)+2/(2*exp(5)+1)*x^2+2/(2*exp(5)+1)*exp(x^4))/x","A"
1657,1,21,20,0.329000," ","int((((-4*x+8)*exp(3)-5*x-19)*ln(1/5*(8*x-16)*exp(3)+2*x+38/5)+(4*x*exp(3)+5*x)*ln(x))/((4*x^2-8*x)*exp(3)+5*x^2+19*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\frac{\left(8 x -16\right) {\mathrm e}^{3}}{5}+2 x +\frac{38}{5}\right)}{\ln \left(x \right)}$&$21$\\ \hline \end{longtable}"," ",0,"1/ln(x)*ln(1/5*(8*x-16)*exp(3)+2*x+38/5)","A"
1658,1,19,19,0.075000," ","int(((-20*exp(x)^2+(-2*x+20)*exp(x)+2)*exp(exp(x))+(40*x+80)*exp(x)+12)/(exp(exp(x))^2+(4*x+12)*exp(exp(x))+4*x^2+24*x+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x +20 \,{\mathrm e}^{x}}{2 x +{\mathrm e}^{{\mathrm e}^{x}}+6}$&$19$\\ norman&$\frac{2 x +20 \,{\mathrm e}^{x}}{2 x +{\mathrm e}^{{\mathrm e}^{x}}+6}$&$20$\\ \hline \end{longtable}"," ",0,"2*(10*exp(x)+x)/(2*x+exp(exp(x))+6)","A"
1659,1,59,26,0.242000," ","int(((2*x*exp(x)*ln(x^2)+2*x^2)*ln(exp(x)*ln(x^2)+x)^2+((-16*x*ln(3)-4*x^2)*exp(x)*ln(x^2)-16*x^2*ln(3)-4*x^3)*ln(exp(x)*ln(x^2)+x)+(32*x*ln(3)^2+16*x^2*ln(3)+2*x^3)*exp(x)*ln(x^2)+(-16-4*x)*exp(x)+32*x^2*ln(3)^2+16*x^3*ln(3)+2*x^4+2*x^3+6*x^2-8*x)*exp(1/(ln(exp(x)*ln(x^2)+x)-4*ln(3)-x))/((x*exp(x)*ln(x^2)+x^2)*ln(exp(x)*ln(x^2)+x)^2+((-8*x*ln(3)-2*x^2)*exp(x)*ln(x^2)-8*x^2*ln(3)-2*x^3)*ln(exp(x)*ln(x^2)+x)+(16*x*ln(3)^2+8*x^2*ln(3)+x^3)*exp(x)*ln(x^2)+16*x^2*ln(3)^2+8*x^3*ln(3)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(2 x +8\right) {\mathrm e}^{-\frac{1}{-\ln \left({\mathrm e}^{x} \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+x \right)+4 \ln \left(3\right)+x}}$&$59$\\ \hline \end{longtable}"," ",0,"(2*x+8)*exp(-1/(-ln(exp(x)*(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+x)+4*ln(3)+x))","C"
1660,1,17,21,0.634000," ","int(((x^2-x+4)*ln(x)+(2*x-1)*exp(1)+x^2-x+4)/(x^2-x+4)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-1} \ln \left(x \right)+\ln \left(x^{2}-x +4\right)$&$17$\\ norman&$x \,{\mathrm e}^{-1} \ln \left(x \right)+\ln \left(x^{2}-x +4\right)$&$19$\\ default&${\mathrm e}^{-1} \left({\mathrm e} \ln \left(x^{2}-x +4\right)+x \ln \left(x \right)\right)$&$23$\\ \hline \end{longtable}"," ",0,"x*exp(-1)*ln(x)+ln(x^2-x+4)","A"
1661,1,17,16,0.071000," ","int((((-2*x^2+3*x+2)*ln(x-2)-4*x^2-2*x)*ln(1/2+x)^2+(4*x^2-8*x)*ln(x-2)*ln(1/2+x))/(2*x^4-3*x^3-2*x^2)/ln(x-2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\frac{1}{2}+x \right)^{2}}{x \ln \left(x -2\right)^{2}}$&$17$\\ \hline \end{longtable}"," ",0,"1/x*ln(1/2+x)^2/ln(x-2)^2","A"
1662,1,108,14,0.466000," ","int((2376*(-9*x+20)^22+117*x-260)/(9*x-20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \left(11817250826203334794572 x^{21}-577732262614385256623520 x^{20}+13480419461002322654548800 x^{19}-199709917940775150437760000 x^{18}+2108049133819293254620800000 x^{17}-16864393070554346036966400000 x^{16}+106183215629416252825344000000 x^{15}-539343317482749220700160000000 x^{14}+2247263822844788419584000000000 x^{13}-7768319387611614289920000000000 x^{12}+22441811564211330170880000000000 x^{11}-54404391670815345868800000000000 x^{10}+110823760810920148992000000000000 x^{9}-189442326172513075200000000000000 x^{8}+270631894532161536000000000000000 x^{7}-320748912038117376000000000000000 x^{6}+311839220037058560000000000000000 x^{5}-244579780421222400000000000000000 x^{4}+150975173099520000000000000000000 x^{3}-70631659929600000000000000000000 x^{2}+23543886643200000000000000000000 x -4982833151999999999999999999987\right)$&$108$\\ default&$11817250826203334794572 x^{22}-577732262614385256623520 x^{21}+13480419461002322654548800 x^{20}-199709917940775150437760000 x^{19}+2108049133819293254620800000 x^{18}-16864393070554346036966400000 x^{17}+106183215629416252825344000000 x^{16}-539343317482749220700160000000 x^{15}+2247263822844788419584000000000 x^{14}-7768319387611614289920000000000 x^{13}+22441811564211330170880000000000 x^{12}-54404391670815345868800000000000 x^{11}+110823760810920148992000000000000 x^{10}-189442326172513075200000000000000 x^{9}+270631894532161536000000000000000 x^{8}-320748912038117376000000000000000 x^{7}+311839220037058560000000000000000 x^{6}-244579780421222400000000000000000 x^{5}+150975173099520000000000000000000 x^{4}-70631659929600000000000000000000 x^{3}+23543886643200000000000000000000 x^{2}-4982833151999999999999999999987 x$&$110$\\ norman&$11817250826203334794572 x^{22}-577732262614385256623520 x^{21}+13480419461002322654548800 x^{20}-199709917940775150437760000 x^{19}+2108049133819293254620800000 x^{18}-16864393070554346036966400000 x^{17}+106183215629416252825344000000 x^{16}-539343317482749220700160000000 x^{15}+2247263822844788419584000000000 x^{14}-7768319387611614289920000000000 x^{13}+22441811564211330170880000000000 x^{12}-54404391670815345868800000000000 x^{11}+110823760810920148992000000000000 x^{10}-189442326172513075200000000000000 x^{9}+270631894532161536000000000000000 x^{8}-320748912038117376000000000000000 x^{7}+311839220037058560000000000000000 x^{6}-244579780421222400000000000000000 x^{5}+150975173099520000000000000000000 x^{4}-70631659929600000000000000000000 x^{3}+23543886643200000000000000000000 x^{2}-4982833151999999999999999999987 x$&$110$\\ risch&$11817250826203334794572 x^{22}-577732262614385256623520 x^{21}+13480419461002322654548800 x^{20}-199709917940775150437760000 x^{19}+2108049133819293254620800000 x^{18}-16864393070554346036966400000 x^{17}+106183215629416252825344000000 x^{16}-539343317482749220700160000000 x^{15}+2247263822844788419584000000000 x^{14}-7768319387611614289920000000000 x^{13}+22441811564211330170880000000000 x^{12}-54404391670815345868800000000000 x^{11}+110823760810920148992000000000000 x^{10}-189442326172513075200000000000000 x^{9}+270631894532161536000000000000000 x^{8}-320748912038117376000000000000000 x^{7}+311839220037058560000000000000000 x^{6}-244579780421222400000000000000000 x^{5}+150975173099520000000000000000000 x^{4}-70631659929600000000000000000000 x^{3}+23543886643200000000000000000000 x^{2}-4982833151999999999999999999987 x$&$110$\\ meijerg&$\text{Expression too large to display}$&$1223$\\ \hline \end{longtable}"," ",0,"x*(11817250826203334794572*x^21-577732262614385256623520*x^20+13480419461002322654548800*x^19-199709917940775150437760000*x^18+2108049133819293254620800000*x^17-16864393070554346036966400000*x^16+106183215629416252825344000000*x^15-539343317482749220700160000000*x^14+2247263822844788419584000000000*x^13-7768319387611614289920000000000*x^12+22441811564211330170880000000000*x^11-54404391670815345868800000000000*x^10+110823760810920148992000000000000*x^9-189442326172513075200000000000000*x^8+270631894532161536000000000000000*x^7-320748912038117376000000000000000*x^6+311839220037058560000000000000000*x^5-244579780421222400000000000000000*x^4+150975173099520000000000000000000*x^3-70631659929600000000000000000000*x^2+23543886643200000000000000000000*x-4982833151999999999999999999987)","B"
1663,1,5,10,0.013000," ","int(-1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)$&$5$\\ norman&$-\ln \left(x \right)$&$5$\\ risch&$-\ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"-ln(x)","A"
1664,1,19,18,0.016000," ","int((-12*x^2+16*x-6)/(2*x^3-4*x^2+3*x-21),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(2 x^{3}-4 x^{2}+3 x -21\right)$&$19$\\ norman&$-2 \ln \left(2 x^{3}-4 x^{2}+3 x -21\right)$&$19$\\ risch&$-2 \ln \left(2 x^{3}-4 x^{2}+3 x -21\right)$&$19$\\ \hline \end{longtable}"," ",0,"-2*ln(2*x^3-4*x^2+3*x-21)","A"
1665,1,26,21,0.063000," ","int((-18*exp(x)^2*x^3+(24*x^4-9*x^3-27*x^2)*exp(x)-8*x^5+24*x^3)/(9*exp(x)^2*x^2+(-12*x^3+18*x)*exp(x)+4*x^4-12*x^2+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-\frac{3 x^{2}}{2 x^{2}-3 \,{\mathrm e}^{x} x -3}$&$26$\\ norman&$\frac{-2 x^{4}+3 \,{\mathrm e}^{x} x^{3}}{2 x^{2}-3 \,{\mathrm e}^{x} x -3}$&$29$\\ \hline \end{longtable}"," ",0,"-x^2-3*x^2/(2*x^2-3*exp(x)*x-3)","A"
1666,1,23,21,0.082000," ","int(((15*x^5+40*x^4)*exp(2)^2+(30*x^6+80*x^5+90)*exp(2)+15*x^7+40*x^6+135*x)/(x^3*exp(2)^2+2*x^4*exp(2)+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x^{3}+20 x^{2}-\frac{45}{x^{2} \left(x +{\mathrm e}^{2}\right)}$&$23$\\ gosper&$\frac{5 \,{\mathrm e}^{2} x^{5}+5 x^{6}+20 x^{4} {\mathrm e}^{2}+20 x^{5}-45}{x^{2} \left(x +{\mathrm e}^{2}\right)}$&$35$\\ norman&$\frac{-45+\left(20+5 \,{\mathrm e}^{2}\right) x^{5}+5 x^{6}+20 x^{4} {\mathrm e}^{2}}{x^{2} \left(x +{\mathrm e}^{2}\right)}$&$35$\\ \hline \end{longtable}"," ",0,"5*x^3+20*x^2-45/x^2/(x+exp(2))","A"
1667,1,15,19,0.045000," ","int((-32*x*ln(x)-16*x^2-48*x-64)/(x^4-12*x^3+48*x^2-64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16 x +16 \ln \left(x \right)}{\left(x -4\right)^{2}}$&$15$\\ risch&$\frac{16 \ln \left(x \right)}{x^{2}-8 x +16}+\frac{16 x}{x^{2}-8 x +16}$&$29$\\ default&$\frac{16}{x -4}-\frac{\ln \left(x \right) x \left(-8+x \right)}{\left(x -4\right)^{2}}+\frac{64}{\left(x -4\right)^{2}}+\ln \left(x \right)$&$31$\\ \hline \end{longtable}"," ",0,"(16*x+16*ln(x))/(x-4)^2","A"
1668,1,20,21,0.082000," ","int((-8*exp(1)*ln(1/x)-4*exp(1))/(64*x^2*ln(1/x)^2+(-16*x*ln(5)+192*x^2)*ln(1/x)+ln(5)^2-24*x*ln(5)+144*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{{\mathrm e}}{-8 x \ln \left(\frac{1}{x}\right)+\ln \left(5\right)-12 x}$&$20$\\ risch&$-\frac{{\mathrm e}}{-8 x \ln \left(\frac{1}{x}\right)+\ln \left(5\right)-12 x}$&$20$\\ \hline \end{longtable}"," ",0,"-exp(1)/(-8*x*ln(1/x)+ln(5)-12*x)","A"
1669,1,19,20,0.046000," ","int(1/4*(2*x*ln(2)-8*x^2-100*x+4)*exp(1/2*x*ln(2)-x^2-25*x)+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2^{\frac{x}{2}} {\mathrm e}^{-x \left(x +25\right)} x +4 x$&$19$\\ default&$4 x +x \,{\mathrm e}^{-x^{2}+\left(\frac{\ln \left(2\right)}{2}-25\right) x}$&$22$\\ norman&${\mathrm e}^{\frac{x \ln \left(2\right)}{2}-x^{2}-25 x} x +4 x$&$22$\\ \hline \end{longtable}"," ",0,"2^(1/2*x)*exp(-x*(x+25))*x+4*x","A"
1670,1,11,13,0.023000," ","int(-2/5*ln(2)-2/25*x+8/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(x +10 \ln \left(2\right)-40\right)}{25}$&$11$\\ default&$-\frac{2 x \ln \left(2\right)}{5}-\frac{x^{2}}{25}+\frac{8 x}{5}$&$15$\\ norman&$\left(-\frac{2 \ln \left(2\right)}{5}+\frac{8}{5}\right) x -\frac{x^{2}}{25}$&$15$\\ risch&$-\frac{2 x \ln \left(2\right)}{5}-\frac{x^{2}}{25}+\frac{8 x}{5}$&$15$\\ \hline \end{longtable}"," ",0,"-1/25*x*(x+10*ln(2)-40)","A"
1671,1,12,15,0.073000," ","int((-2*x^8-8*x^7)/exp(3-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{8} {\mathrm e}^{2 x -6}$&$12$\\ gosper&$-x^{8} {\mathrm e}^{2 x -6}$&$14$\\ norman&$-x^{8} {\mathrm e}^{2 x -6}$&$14$\\ derivativedivides&$-6561 \,{\mathrm e}^{2 x -6}+17496 \,{\mathrm e}^{2 x -6} \left(3-x \right)-20412 \,{\mathrm e}^{2 x -6} \left(3-x \right)^{2}+13608 \,{\mathrm e}^{2 x -6} \left(3-x \right)^{3}-5670 \,{\mathrm e}^{2 x -6} \left(3-x \right)^{4}+1512 \,{\mathrm e}^{2 x -6} \left(3-x \right)^{5}-252 \,{\mathrm e}^{2 x -6} \left(3-x \right)^{6}+24 \,{\mathrm e}^{2 x -6} \left(3-x \right)^{7}-{\mathrm e}^{2 x -6} \left(3-x \right)^{8}$&$146$\\ default&$-6561 \,{\mathrm e}^{2 x -6}+17496 \,{\mathrm e}^{2 x -6} \left(3-x \right)-20412 \,{\mathrm e}^{2 x -6} \left(3-x \right)^{2}+13608 \,{\mathrm e}^{2 x -6} \left(3-x \right)^{3}-5670 \,{\mathrm e}^{2 x -6} \left(3-x \right)^{4}+1512 \,{\mathrm e}^{2 x -6} \left(3-x \right)^{5}-252 \,{\mathrm e}^{2 x -6} \left(3-x \right)^{6}+24 \,{\mathrm e}^{2 x -6} \left(3-x \right)^{7}-{\mathrm e}^{2 x -6} \left(3-x \right)^{8}$&$146$\\ meijerg&$\frac{{\mathrm e}^{48+2 x -2 x \,{\mathrm e}^{-6}} \left(40320-\frac{\left(2304 x^{8} {\mathrm e}^{-48}-9216 x^{7} {\mathrm e}^{-42}+32256 x^{6} {\mathrm e}^{-36}-96768 x^{5} {\mathrm e}^{-30}+241920 x^{4} {\mathrm e}^{-24}-483840 x^{3} {\mathrm e}^{-18}+725760 x^{2} {\mathrm e}^{-12}-725760 x \,{\mathrm e}^{-6}+362880\right) {\mathrm e}^{2 x \,{\mathrm e}^{-6}}}{9}\right)}{256}-\frac{{\mathrm e}^{2 x +42-2 x \,{\mathrm e}^{-6}} \left(5040-\frac{\left(-1024 x^{7} {\mathrm e}^{-42}+3584 x^{6} {\mathrm e}^{-36}-10752 x^{5} {\mathrm e}^{-30}+26880 x^{4} {\mathrm e}^{-24}-53760 x^{3} {\mathrm e}^{-18}+80640 x^{2} {\mathrm e}^{-12}-80640 x \,{\mathrm e}^{-6}+40320\right) {\mathrm e}^{2 x \,{\mathrm e}^{-6}}}{8}\right)}{32}$&$153$\\ \hline \end{longtable}"," ",0,"-x^8*exp(2*x-6)","A"
1672,1,20,19,0.043000," ","int(((-2*x^3-12*x^2-24*x-16)*exp(3)-2*x^4-6*x^3+12*x^2+56*x+46)/(x^3+6*x^2+12*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x \,{\mathrm e}^{3}+6 x -x^{2}+\frac{1}{\left(2+x \right)^{2}}$&$20$\\ risch&$-2 x \,{\mathrm e}^{3}-x^{2}+6 x +\frac{1}{x^{2}+4 x +4}$&$25$\\ norman&$\frac{\left(-2 \,{\mathrm e}^{3}+2\right) x^{3}+\left(-56+24 \,{\mathrm e}^{3}\right) x -x^{4}-79+32 \,{\mathrm e}^{3}}{\left(2+x \right)^{2}}$&$36$\\ gosper&$-\frac{2 x^{3} {\mathrm e}^{3}+x^{4}-2 x^{3}-24 x \,{\mathrm e}^{3}-32 \,{\mathrm e}^{3}+56 x +79}{x^{2}+4 x +4}$&$42$\\ \hline \end{longtable}"," ",0,"-2*x*exp(3)+6*x-x^2+1/(2+x)^2","A"
1673,1,31,19,0.028000," ","int((5*ln(-1/4*ln(2)+1/4*exp(4)+3/2)-9)/ln(-1/4*ln(2)+1/4*exp(4)+3/2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\left(5 \ln \left(-\frac{\ln \left(2\right)}{4}+\frac{{\mathrm e}^{4}}{4}+\frac{3}{2}\right)-9\right) x}{\ln \left(-\frac{\ln \left(2\right)}{4}+\frac{{\mathrm e}^{4}}{4}+\frac{3}{2}\right)}$&$31$\\ norman&$\frac{\left(10 \ln \left(2\right)-5 \ln \left(-\ln \left(2\right)+{\mathrm e}^{4}+6\right)+9\right) x}{2 \ln \left(2\right)-\ln \left(-\ln \left(2\right)+{\mathrm e}^{4}+6\right)}$&$38$\\ risch&$-\frac{10 x \ln \left(2\right)}{-2 \ln \left(2\right)+\ln \left(-\ln \left(2\right)+{\mathrm e}^{4}+6\right)}+\frac{5 x \ln \left(-\ln \left(2\right)+{\mathrm e}^{4}+6\right)}{-2 \ln \left(2\right)+\ln \left(-\ln \left(2\right)+{\mathrm e}^{4}+6\right)}-\frac{9 x}{-2 \ln \left(2\right)+\ln \left(-\ln \left(2\right)+{\mathrm e}^{4}+6\right)}$&$70$\\ \hline \end{longtable}"," ",0,"(5*ln(-1/4*ln(2)+1/4*exp(4)+3/2)-9)/ln(-1/4*ln(2)+1/4*exp(4)+3/2)*x","A"
1674,1,892,34,2.213000," ","int((((24*x^3+24*x^2)*ln(1/3*x+1/3)^3-6*x^4*ln(1/3*x+1/3))*ln(x^2)^3+((-120*x^3-600*x^2-480*x)*ln(1/3*x+1/3)^3+(120*x^3+120*x^2)*ln(1/3*x+1/3)^2+(30*x^4+120*x^3)*ln(1/3*x+1/3)-30*x^4)*ln(x^2)^2+((60*x^4+540*x^3+1440*x^2+960*x)*ln(1/3*x+1/3)^3+(-120*x^4-600*x^3-480*x^2)*ln(1/3*x+1/3)^2+(60*x^4+60*x^3)*ln(1/3*x+1/3))*ln(x^2)+(-300*x^4-3900*x^3-18000*x^2-33600*x-19200)*ln(1/3*x+1/3)^3+(900*x^4+8100*x^3+21600*x^2+14400*x)*ln(1/3*x+1/3)^2+(-900*x^4-4500*x^3-3600*x^2)*ln(1/3*x+1/3)+300*x^4+300*x^3)/((5*x^5+65*x^4+300*x^3+560*x^2+320*x)*ln(1/3*x+1/3)^3+(-15*x^5-135*x^4-360*x^3-240*x^2)*ln(1/3*x+1/3)^2+(15*x^5+75*x^4+60*x^3)*ln(1/3*x+1/3)-5*x^5-5*x^4)/ln(x^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{12 \left(-400-200 x +20 x^{2} \ln \left(x \right)+64 \ln \left(x \right)^{2}-25 x^{2}+32 x \ln \left(x \right)^{2}+80 x \ln \left(x \right)-20 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}-32 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}+16 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-24 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+16 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-20 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+40 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-5 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+10 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+64 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-32 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-16 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3} \ln \left(x \right)-2 \pi^{2} x \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}+8 \pi^{2} x \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-12 \pi^{2} x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+8 \pi^{2} x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-5 i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}-2 \pi^{2} x \mathrm{csgn}\left(i x^{2}\right)^{6}-16 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \ln \left(x \right)+32 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \ln \left(x \right)\right)}{5 \left(4+x \right)^{2} \left(4 \ln \left(x \right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)^{2}}+\frac{\frac{6 \pi  \,x^{4} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \ln \left(\frac{x}{3}+\frac{1}{3}\right)}{5}-\frac{12 \pi  \,x^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \ln \left(\frac{x}{3}+\frac{1}{3}\right)}{5}+\frac{6 \pi  \,x^{4} \mathrm{csgn}\left(i x^{2}\right)^{3} \ln \left(\frac{x}{3}+\frac{1}{3}\right)}{5}-\frac{3 \pi  \,x^{4} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{5}+\frac{6 \pi  \,x^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{5}-\frac{3 \pi  \,x^{4} \mathrm{csgn}\left(i x^{2}\right)^{3}}{5}+\frac{24 \pi  \,x^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \ln \left(\frac{x}{3}+\frac{1}{3}\right)}{5}-\frac{48 \pi  \,x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \ln \left(\frac{x}{3}+\frac{1}{3}\right)}{5}+\frac{24 \pi  \,x^{3} \mathrm{csgn}\left(i x^{2}\right)^{3} \ln \left(\frac{x}{3}+\frac{1}{3}\right)}{5}+\frac{24 i x^{4} \ln \left(x \right) \ln \left(\frac{x}{3}+\frac{1}{3}\right)}{5}+48 i x^{3}-192 i x^{2} \ln \left(\frac{x}{3}+\frac{1}{3}\right)+\frac{96 i x^{3} \ln \left(x \right) \ln \left(\frac{x}{3}+\frac{1}{3}\right)}{5}-12 i x^{4} \ln \left(\frac{x}{3}+\frac{1}{3}\right)-96 i x^{3} \ln \left(\frac{x}{3}+\frac{1}{3}\right)-\frac{12 i x^{4} \ln \left(x \right)}{5}+12 i x^{4}}{\left(x \ln \left(\frac{x}{3}+\frac{1}{3}\right)-x +4 \ln \left(\frac{x}{3}+\frac{1}{3}\right)\right)^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right) \left(x^{2}+8 x +16\right)}$&$892$\\ \hline \end{longtable}"," ",0,"-12/5*(-400-200*x+20*x^2*ln(x)+64*ln(x)^2-25*x^2+32*x*ln(x)^2+80*x*ln(x)-4*Pi^2*csgn(I*x^2)^6-4*Pi^2*csgn(I*x)^4*csgn(I*x^2)^2+16*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3-24*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4+16*Pi^2*csgn(I*x)*csgn(I*x^2)^5-16*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)*ln(x)+32*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2*ln(x)-2*Pi^2*x*csgn(I*x^2)^6-2*Pi^2*x*csgn(I*x)^4*csgn(I*x^2)^2+8*Pi^2*x*csgn(I*x)^3*csgn(I*x^2)^3-12*Pi^2*x*csgn(I*x)^2*csgn(I*x^2)^4+8*Pi^2*x*csgn(I*x)*csgn(I*x^2)^5-5*I*Pi*x^2*csgn(I*x^2)^3-20*I*Pi*x*csgn(I*x^2)^3-32*I*ln(x)*Pi*csgn(I*x^2)^3-5*I*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+10*I*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-20*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)+64*I*ln(x)*Pi*csgn(I*x)*csgn(I*x^2)^2+40*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2-32*I*ln(x)*Pi*csgn(I*x)^2*csgn(I*x^2)-16*I*Pi*x*csgn(I*x^2)^3*ln(x))/(4+x)^2/(4*ln(x)-I*Pi*csgn(I*x^2)*csgn(I*x)^2+2*I*Pi*csgn(I*x^2)^2*csgn(I*x)-I*Pi*csgn(I*x^2)^3)^2+3/5*(2*Pi*x^4*csgn(I*x)^2*csgn(I*x^2)*ln(1/3*x+1/3)-4*Pi*x^4*csgn(I*x)*csgn(I*x^2)^2*ln(1/3*x+1/3)+2*Pi*x^4*csgn(I*x^2)^3*ln(1/3*x+1/3)-Pi*x^4*csgn(I*x)^2*csgn(I*x^2)+2*Pi*x^4*csgn(I*x)*csgn(I*x^2)^2-Pi*x^4*csgn(I*x^2)^3+8*Pi*x^3*csgn(I*x)^2*csgn(I*x^2)*ln(1/3*x+1/3)-16*Pi*x^3*csgn(I*x)*csgn(I*x^2)^2*ln(1/3*x+1/3)+8*Pi*x^3*csgn(I*x^2)^3*ln(1/3*x+1/3)+8*I*x^4*ln(x)*ln(1/3*x+1/3)+80*I*x^3-320*I*x^2*ln(1/3*x+1/3)+32*I*x^3*ln(x)*ln(1/3*x+1/3)-20*I*x^4*ln(1/3*x+1/3)-160*I*x^3*ln(1/3*x+1/3)-4*I*x^4*ln(x)+20*I*x^4)/(x*ln(1/3*x+1/3)-x+4*ln(1/3*x+1/3))^2/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x))/(x^2+8*x+16)","C"
1675,1,5,6,0.011000," ","int(-1/3/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(x \right)}{3}$&$5$\\ norman&$-\frac{\ln \left(x \right)}{3}$&$5$\\ risch&$-\frac{\ln \left(x \right)}{3}$&$5$\\ \hline \end{longtable}"," ",0,"-1/3*ln(x)","A"
1676,1,18,22,0.144000," ","int(((-20*x^2*ln(x^2)+50*exp(4)^2-20*x^2)*exp((25*exp(4)^2-10*x^2)*ln(x^2)/exp(4)^2)-x*exp(4)^2)/x/exp(4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}\right)^{25-10 x^{2} {\mathrm e}^{-8}}-x$&$18$\\ norman&$\left({\mathrm e}^{4} {\mathrm e}^{\left(25 \,{\mathrm e}^{8}-10 x^{2}\right) \ln \left(x^{2}\right) {\mathrm e}^{-8}}-x \,{\mathrm e}^{4}\right) {\mathrm e}^{-4}$&$37$\\ default&${\mathrm e}^{-8} \left({\mathrm e}^{8} {\mathrm e}^{\left(25 \,{\mathrm e}^{8}-10 x^{2}\right) \ln \left(x^{2}\right) {\mathrm e}^{-8}}-x \,{\mathrm e}^{8}\right)$&$41$\\ \hline \end{longtable}"," ",0,"(x^2)^(25-10*x^2*exp(-8))-x","A"
1677,1,42,31,0.284000," ","int(((-2*x^2*exp(1/4*(x^2+2*x+1)/x^2)+2*x^2*ln(2))*ln(exp(exp(2))/(exp(1/4*(x^2+2*x+1)/x^2)-ln(2)))+(-4*x^2-x-1)*exp(1/4*(x^2+2*x+1)/x^2)+4*x^2*ln(2))/(2*x^2*exp(1/4*(x^2+2*x+1)/x^2)-2*x^2*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-2 x^{2}-x^{2} \ln \left(\frac{{\mathrm e}^{{\mathrm e}^{2}}}{{\mathrm e}^{\frac{x^{2}+2 x +1}{4 x^{2}}}-\ln \left(2\right)}\right)}{x}$&$42$\\ default&$\frac{\left(-2 \ln \left(\frac{{\mathrm e}^{{\mathrm e}^{2}}}{{\mathrm e}^{\frac{x^{2}+2 x +1}{4 x^{2}}}-\ln \left(2\right)}\right)-2 \ln \left({\mathrm e}^{\frac{x^{2}+2 x +1}{4 x^{2}}}-\ln \left(2\right)\right)-4\right) x^{2}+2 x^{2} \ln \left({\mathrm e}^{\frac{x^{2}+2 x +1}{4 x^{2}}}-\ln \left(2\right)\right)}{2 x}$&$88$\\ risch&$x \ln \left(-{\mathrm e}^{\frac{\left(x +1\right)^{2}}{4 x^{2}}}+\ln \left(2\right)\right)-\frac{\left(-2 i \pi  \mathrm{csgn}\left(\frac{i}{-{\mathrm e}^{\frac{\left(x +1\right)^{2}}{4 x^{2}}}+\ln \left(2\right)}\right)^{2}+2 i \pi  \mathrm{csgn}\left(\frac{i}{-{\mathrm e}^{\frac{\left(x +1\right)^{2}}{4 x^{2}}}+\ln \left(2\right)}\right)^{3}+2 i \pi +2 \,{\mathrm e}^{2}+4\right) x}{2}$&$90$\\ \hline \end{longtable}"," ",0,"(-2*x^2-x^2*ln(exp(exp(2))/(exp(1/4*(x^2+2*x+1)/x^2)-ln(2))))/x","A"
1678,1,19,17,0.016000," ","int(ln(5/2*x)+2*exp(x)^2-4*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{2 x}-4 \,{\mathrm e}^{x}+\ln \left(\frac{5 x}{2}\right) x -x$&$19$\\ norman&${\mathrm e}^{2 x}-4 \,{\mathrm e}^{x}+\ln \left(\frac{5 x}{2}\right) x -x$&$19$\\ risch&${\mathrm e}^{2 x}-4 \,{\mathrm e}^{x}+\ln \left(\frac{5 x}{2}\right) x -x$&$19$\\ \hline \end{longtable}"," ",0,"exp(x)^2-4*exp(x)+ln(5/2*x)*x-x","A"
1679,1,14,19,0.299000," ","int((2*exp(2)*exp(2*ln(exp(2)*x-1)-6)+exp(2)*x-1)/(exp(2)*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x \,{\mathrm e}^{-4}+x^{2} {\mathrm e}^{-2}+x$&$14$\\ default&$x +{\mathrm e}^{2 \ln \left({\mathrm e}^{2} x -1\right)-6}$&$15$\\ norman&${\mathrm e}^{4} {\mathrm e}^{-6} x^{2}-\left(2 \,{\mathrm e}^{2}-{\mathrm e}^{6}\right) {\mathrm e}^{-6} x$&$30$\\ \hline \end{longtable}"," ",0,"-2*x*exp(-4)+x^2*exp(-2)+x","A"
1680,1,31,20,0.168000," ","int((3*x^3*exp(4)^3+(-9*x^4-27*x^3)*exp(4)^2+(9*x^5+54*x^4+81*x^3+144)*exp(4)-3*x^6-27*x^5-81*x^4-81*x^3-288*x-432)/(x^3*exp(4)^3+(-3*x^4-9*x^3)*exp(4)^2+(3*x^5+18*x^4+27*x^3)*exp(4)-x^6-9*x^5-27*x^4-27*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x -\frac{72}{x^{2} \left({\mathrm e}^{8}-2 x \,{\mathrm e}^{4}+x^{2}-6 \,{\mathrm e}^{4}+6 x +9\right)}$&$31$\\ norman&$\frac{-72+\left(-9 \,{\mathrm e}^{8}+54 \,{\mathrm e}^{4}-81\right) x^{3}+\left(6 \,{\mathrm e}^{12}-54 \,{\mathrm e}^{8}+162 \,{\mathrm e}^{4}-162\right) x^{2}+3 x^{5}}{x^{2} \left({\mathrm e}^{4}-x -3\right)^{2}}$&$59$\\ gosper&$\frac{6 x^{2} {\mathrm e}^{12}-9 x^{3} {\mathrm e}^{8}+3 x^{5}-54 x^{2} {\mathrm e}^{8}+54 x^{3} {\mathrm e}^{4}+162 x^{2} {\mathrm e}^{4}-81 x^{3}-162 x^{2}-72}{x^{2} \left({\mathrm e}^{8}-2 x \,{\mathrm e}^{4}+x^{2}-6 \,{\mathrm e}^{4}+6 x +9\right)}$&$85$\\ default&$3 x -\frac{48 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+\left(-3 \,{\mathrm e}^{4}+9\right) \textit{\_Z}^{2}+\left(-18 \,{\mathrm e}^{4}+3 \,{\mathrm e}^{8}+27\right) \textit{\_Z} -27 \,{\mathrm e}^{4}+9 \,{\mathrm e}^{8}-{\mathrm e}^{12}+27\right)}{\sum}\frac{\left(4374-1458 \textit{\_R} \,{\mathrm e}^{4}+135 \textit{\_R} \,{\mathrm e}^{16}+1215 \textit{\_R} \,{\mathrm e}^{8}-540 \textit{\_R} \,{\mathrm e}^{12}+\textit{\_R} \,{\mathrm e}^{24}-18 \textit{\_R} \,{\mathrm e}^{20}-10206 \,{\mathrm e}^{4}+1890 \,{\mathrm e}^{16}+10206 \,{\mathrm e}^{8}-5670 \,{\mathrm e}^{12}+42 \,{\mathrm e}^{24}-378 \,{\mathrm e}^{20}-2 \,{\mathrm e}^{28}+729 \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{9+{\mathrm e}^{8}-2 \textit{\_R} \,{\mathrm e}^{4}+\textit{\_R}^{2}-6 \,{\mathrm e}^{4}+6 \textit{\_R}}\right)}{\left(27 \,{\mathrm e}^{4}+{\mathrm e}^{12}-9 \,{\mathrm e}^{8}-27\right)^{3}}-\frac{3 \left(6480 \,{\mathrm e}^{16}+48 \,{\mathrm e}^{24}-864 \,{\mathrm e}^{20}-69984 \,{\mathrm e}^{4}+58320 \,{\mathrm e}^{8}-25920 \,{\mathrm e}^{12}+34992\right)}{\left(27 \,{\mathrm e}^{4}+{\mathrm e}^{12}-9 \,{\mathrm e}^{8}-27\right)^{3} x}-\frac{3 \left(-45360 \,{\mathrm e}^{16}-1008 \,{\mathrm e}^{24}+9072 \,{\mathrm e}^{20}+48 \,{\mathrm e}^{28}+244944 \,{\mathrm e}^{4}-244944 \,{\mathrm e}^{8}+136080 \,{\mathrm e}^{12}-104976\right)}{2 \left(27 \,{\mathrm e}^{4}+{\mathrm e}^{12}-9 \,{\mathrm e}^{8}-27\right)^{3} x^{2}}$&$248$\\ \hline \end{longtable}"," ",0,"3*x-72/x^2/(exp(8)-2*x*exp(4)+x^2-6*exp(4)+6*x+9)","A"
1681,1,97,19,0.092000," ","int(-27/2*exp(1/24*x)^4+1/781250*(1265625*x^2+9703125*x-84375000)*exp(1/24*x)^3+1/781250*(-50625*x^4-1586250*x^3+26859375*x^2-84375000*x)*exp(1/24*x)^2+1/781250*(675*x^6+80325*x^5-1884375*x^4+13109375*x^3-28125000*x^2)*exp(1/24*x)-648/390625*x^7+756/15625*x^6-324/625*x^5+12/5*x^4-4*x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-81 \,{\mathrm e}^{\frac{x}{6}}+\frac{\left(10125000 x^{2}-84375000 x \right) {\mathrm e}^{\frac{x}{8}}}{781250}+\frac{\left(-607500 x^{4}+10125000 x^{3}-42187500 x^{2}\right) {\mathrm e}^{\frac{x}{12}}}{781250}+\frac{\left(16200 x^{6}-405000 x^{5}+3375000 x^{4}-9375000 x^{3}\right) {\mathrm e}^{\frac{x}{24}}}{781250}-\frac{81 x^{8}}{390625}+\frac{108 x^{7}}{15625}-\frac{54 x^{6}}{625}+\frac{12 x^{5}}{25}-x^{4}$&$97$\\ derivativedivides&$-x^{4}+\frac{12 x^{5}}{25}-\frac{54 x^{6}}{625}+\frac{108 x^{7}}{15625}-\frac{81 x^{8}}{390625}-81 \,{\mathrm e}^{\frac{x}{6}}-108 \,{\mathrm e}^{\frac{x}{8}} x +\frac{324 \,{\mathrm e}^{\frac{x}{8}} x^{2}}{25}-54 \,{\mathrm e}^{\frac{x}{12}} x^{2}+\frac{324 \,{\mathrm e}^{\frac{x}{12}} x^{3}}{25}-\frac{486 \,{\mathrm e}^{\frac{x}{12}} x^{4}}{625}-12 \,{\mathrm e}^{\frac{x}{24}} x^{3}+\frac{108 \,{\mathrm e}^{\frac{x}{24}} x^{4}}{25}-\frac{324 \,{\mathrm e}^{\frac{x}{24}} x^{5}}{625}+\frac{324 \,{\mathrm e}^{\frac{x}{24}} x^{6}}{15625}$&$124$\\ default&$-x^{4}+\frac{12 x^{5}}{25}-\frac{54 x^{6}}{625}+\frac{108 x^{7}}{15625}-\frac{81 x^{8}}{390625}-81 \,{\mathrm e}^{\frac{x}{6}}-108 \,{\mathrm e}^{\frac{x}{8}} x +\frac{324 \,{\mathrm e}^{\frac{x}{8}} x^{2}}{25}-54 \,{\mathrm e}^{\frac{x}{12}} x^{2}+\frac{324 \,{\mathrm e}^{\frac{x}{12}} x^{3}}{25}-\frac{486 \,{\mathrm e}^{\frac{x}{12}} x^{4}}{625}-12 \,{\mathrm e}^{\frac{x}{24}} x^{3}+\frac{108 \,{\mathrm e}^{\frac{x}{24}} x^{4}}{25}-\frac{324 \,{\mathrm e}^{\frac{x}{24}} x^{5}}{625}+\frac{324 \,{\mathrm e}^{\frac{x}{24}} x^{6}}{15625}$&$124$\\ \hline \end{longtable}"," ",0,"-81*exp(1/6*x)+1/781250*(10125000*x^2-84375000*x)*exp(1/8*x)+1/781250*(-607500*x^4+10125000*x^3-42187500*x^2)*exp(1/12*x)+1/781250*(16200*x^6-405000*x^5+3375000*x^4-9375000*x^3)*exp(1/24*x)-81/390625*x^8+108/15625*x^7-54/625*x^6+12/25*x^5-x^4","B"
1682,1,89,19,0.334000," ","int(((x+ln(x))*ln(x+ln(x))*ln(16*ln(x+ln(x))^2)^3+(-24*x*ln(x)-24*x^2)*ln(x+ln(x))*ln(16*ln(x+ln(x))^2)+48*x^2+48*x)/(x+ln(x))/ln(x+ln(x))/ln(16*ln(x+ln(x))^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{48 x^{2}}{\left(\pi  \mathrm{csgn}\left(i \ln \left(x +\ln \left(x \right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x +\ln \left(x \right)\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \ln \left(x +\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \ln \left(x +\ln \left(x \right)\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \ln \left(x +\ln \left(x \right)\right)^{2}\right)^{3}+8 i \ln \left(2\right)+4 i \ln \left(\ln \left(x +\ln \left(x \right)\right)\right)\right)^{2}}$&$89$\\ \hline \end{longtable}"," ",0,"x+48*x^2/(Pi*csgn(I*ln(x+ln(x)))^2*csgn(I*ln(x+ln(x))^2)-2*Pi*csgn(I*ln(x+ln(x)))*csgn(I*ln(x+ln(x))^2)^2+Pi*csgn(I*ln(x+ln(x))^2)^3+8*I*ln(2)+4*I*ln(ln(x+ln(x))))^2","C"
1683,1,22,24,0.017000," ","int(1/5*(-4*x-2)*exp(-exp(5)^2-x^2-x+5)+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{2 \,{\mathrm e}^{-{\mathrm e}^{10}-x^{2}-x +5}}{5}$&$22$\\ default&$2 x +\frac{2 \,{\mathrm e}^{-{\mathrm e}^{10}-x^{2}-x +5}}{5}$&$24$\\ norman&$2 x +\frac{2 \,{\mathrm e}^{-{\mathrm e}^{10}-x^{2}-x +5}}{5}$&$24$\\ \hline \end{longtable}"," ",0,"2*x+2/5*exp(-exp(10)-x^2-x+5)","A"
1684,1,25,21,0.015000," ","int(8*exp(x)^2-32*exp(x)+6*x^2+4*x+8/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{8 x}{5}+2 x^{2}+2 x^{3}+4 \,{\mathrm e}^{2 x}-32 \,{\mathrm e}^{x}$&$25$\\ norman&$\frac{8 x}{5}+2 x^{2}+2 x^{3}+4 \,{\mathrm e}^{2 x}-32 \,{\mathrm e}^{x}$&$25$\\ risch&$\frac{8 x}{5}+2 x^{2}+2 x^{3}+4 \,{\mathrm e}^{2 x}-32 \,{\mathrm e}^{x}$&$25$\\ \hline \end{longtable}"," ",0,"8/5*x+2*x^2+2*x^3+4*exp(x)^2-32*exp(x)","A"
1685,1,16,18,0.305000," ","int((-2*x^3+x^2-8*x+3)/(x^2+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -x^{2}-\ln \left(x^{2}+3\right)$&$16$\\ norman&$x -x^{2}-\ln \left(x^{2}+3\right)$&$16$\\ risch&$x -x^{2}-\ln \left(x^{2}+3\right)$&$16$\\ meijerg&$\sqrt{3}\, \arctan \left(\frac{x \sqrt{3}}{3}\right)-x^{2}-\ln \left(1+\frac{x^{2}}{3}\right)+\frac{\sqrt{3}\, \left(\frac{2 x \sqrt{3}}{3}-2 \arctan \left(\frac{x \sqrt{3}}{3}\right)\right)}{2}$&$49$\\ \hline \end{longtable}"," ",0,"x-x^2-ln(x^2+3)","A"
1686,1,444,29,0.181000," ","int((((5*x^3-40*x^2+80*x)*ln(x)-x+4)*ln(((5*x^2-20*x)*ln(x)-1)/(3*x^3-12*x^2))+(-10*x^3+80*x^2-160*x)*ln(x)+5*x^3-40*x^2+84*x-12)/((5*x^3-40*x^2+80*x)*ln(x)-x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(x^{2} \ln \left(x \right)-4 x \ln \left(x \right)-\frac{1}{5}\right)-x \ln \left(x -4\right)-2 x \ln \left(x \right)+\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x -4}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)-4 x \ln \left(x \right)-\frac{1}{5}\right)}{x -4}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x -4}\right) \mathrm{csgn}\left(i \left(x^{2} \ln \left(x \right)-4 x \ln \left(x \right)-\frac{1}{5}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)-4 x \ln \left(x \right)-\frac{1}{5}\right)}{x -4}\right)}{2}+\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)-4 x \ln \left(x \right)-\frac{1}{5}\right)}{x^{2} \left(x -4\right)}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x^{2} \ln \left(x \right)-4 x \ln \left(x \right)-\frac{1}{5}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)-4 x \ln \left(x \right)-\frac{1}{5}\right)}{x -4}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)-4 x \ln \left(x \right)-\frac{1}{5}\right)}{x -4}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)-4 x \ln \left(x \right)-\frac{1}{5}\right)}{x^{2} \left(x -4\right)}\right)^{2}}{2}-i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)-4 x \ln \left(x \right)-\frac{1}{5}\right)}{x^{2} \left(x -4\right)}\right)^{3}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)-4 x \ln \left(x \right)-\frac{1}{5}\right)}{x -4}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)-4 x \ln \left(x \right)-\frac{1}{5}\right)}{x^{2} \left(x -4\right)}\right)}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)-4 x \ln \left(x \right)-\frac{1}{5}\right)}{x -4}\right)^{3}}{2}+x \ln \left(5\right)-x \ln \left(3\right)-x$&$444$\\ \hline \end{longtable}"," ",0,"x*ln(x^2*ln(x)-4*x*ln(x)-1/5)-x*ln(x-4)-2*x*ln(x)+1/2*I*Pi*x*csgn(I*x^2)^3+1/2*I*Pi*x*csgn(I/(x-4))*csgn(I/(x-4)*(x^2*ln(x)-4*x*ln(x)-1/5))^2-1/2*I*Pi*x*csgn(I/(x-4))*csgn(I*(x^2*ln(x)-4*x*ln(x)-1/5))*csgn(I/(x-4)*(x^2*ln(x)-4*x*ln(x)-1/5))+1/2*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)+1/2*I*Pi*x*csgn(I/x^2)*csgn(I/x^2/(x-4)*(x^2*ln(x)-4*x*ln(x)-1/5))^2+1/2*I*Pi*x*csgn(I*(x^2*ln(x)-4*x*ln(x)-1/5))*csgn(I/(x-4)*(x^2*ln(x)-4*x*ln(x)-1/5))^2+1/2*I*Pi*x*csgn(I/(x-4)*(x^2*ln(x)-4*x*ln(x)-1/5))*csgn(I/x^2/(x-4)*(x^2*ln(x)-4*x*ln(x)-1/5))^2-I*Pi*x*csgn(I*x)*csgn(I*x^2)^2-1/2*I*Pi*x*csgn(I/x^2/(x-4)*(x^2*ln(x)-4*x*ln(x)-1/5))^3-1/2*I*Pi*x*csgn(I/x^2)*csgn(I/(x-4)*(x^2*ln(x)-4*x*ln(x)-1/5))*csgn(I/x^2/(x-4)*(x^2*ln(x)-4*x*ln(x)-1/5))-1/2*I*Pi*x*csgn(I/(x-4)*(x^2*ln(x)-4*x*ln(x)-1/5))^3+x*ln(5)-x*ln(3)-x","C"
1687,1,104,25,0.357000," ","int((2*x*ln(3*exp(x)*ln(x)^2)-2*x^2-4*x)*exp(ln(x)*ln(3*exp(x)*ln(x)^2)+(-x-5)*ln(x))^2*exp(x^2*exp(ln(x)*ln(3*exp(x)*ln(x)^2)+(-x-5)*ln(x))^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{2} x^{-i \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \pi +2 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right)-i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-i \mathrm{csgn}\left(i {\mathrm e}^{x} \ln \left(x \right)^{2}\right) \pi +4 \ln \left(\ln \left(x \right)\right)+2 \ln \left(3 \,{\mathrm e}^{x}\right)+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right)} x^{-2 x -10}}$&$104$\\ \hline \end{longtable}"," ",0,"exp(x^2*(x^(-1/2*I*csgn(I*ln(x)^2)*Pi+I*Pi*csgn(I*ln(x))-1/2*I*Pi*csgn(I*ln(x)^2)*csgn(I*exp(x)*ln(x)^2)*csgn(I*exp(x))-1/2*I*csgn(I*exp(x)*ln(x)^2)*Pi+1/2*I*Pi*csgn(I*exp(x))+2*ln(ln(x))+ln(exp(x))+ln(3)))^2*(x^(-x-5))^2)","C"
1688,1,89,26,0.132000," ","int(((4*x^5+12*x^4+12*x^3+4*x^2+1)*exp(ln(4/x)+3)^8+(4*x^5+32*x^4+60*x^3+40*x^2+8*x)*exp(x)*exp(ln(4/x)+3)^6+(12*x^4+60*x^3+72*x^2+24*x)*exp(x)^2*exp(ln(4/x)+3)^4+(12*x^3+40*x^2+24*x)*exp(x)^3*exp(ln(4/x)+3)^2+(4*x^2+8*x)*exp(x)^4)/x^2/exp(ln(4/x)+3)^8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}+4 x^{3}+6 x^{2}+4 x -\frac{1}{x}+\frac{x^{2} \left(x^{3}+3 x^{2}+3 x +1\right) {\mathrm e}^{x -6}}{4}+\frac{3 x^{4} \left(x^{2}+2 x +1\right) {\mathrm e}^{2 x -12}}{128}+\frac{x^{6} \left(x +1\right) {\mathrm e}^{3 x -18}}{1024}+\frac{x^{8} {\mathrm e}^{4 x -24}}{65536}$&$89$\\ default&$\text{Expression too large to display}$&$11630$\\ \hline \end{longtable}"," ",0,"x^4+4*x^3+6*x^2+4*x-1/x+1/4*x^2*(x^3+3*x^2+3*x+1)*exp(x-6)+3/128*x^4*(x^2+2*x+1)*exp(2*x-12)+1/1024*x^6*(x+1)*exp(3*x-18)+1/65536*x^8*exp(4*x-24)","B"
1689,1,31,24,0.041000," ","int((2*(12*x+4)*ln(2)+60*x+17)/(8*x*exp(4)*ln(2)+20*x*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$3 x \,{\mathrm e}^{-4}+\frac{\left(8 \ln \left(2\right)+17\right) {\mathrm e}^{-4} \ln \left(x \right)}{8 \ln \left(2\right)+20}$&$31$\\ default&$\frac{{\mathrm e}^{-4} \left(24 x \ln \left(2\right)+60 x +\left(8 \ln \left(2\right)+17\right) \ln \left(x \right)\right)}{8 \ln \left(2\right)+20}$&$33$\\ risch&$3 x \,{\mathrm e}^{-4}+\frac{2 \,{\mathrm e}^{-4} \ln \left(x \right) \ln \left(2\right)}{2 \ln \left(2\right)+5}+\frac{17 \,{\mathrm e}^{-4} \ln \left(x \right)}{4 \left(2 \ln \left(2\right)+5\right)}$&$37$\\ \hline \end{longtable}"," ",0,"3*x/exp(4)+1/4*(8*ln(2)+17)/exp(4)/(2*ln(2)+5)*ln(x)","A"
1690,1,14,14,0.020000," ","int(1/2*(exp(1/2/ln(5*x))+2*x*ln(5*x)^2)/x/ln(5*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{\frac{1}{2 \ln \left(5 x \right)}}$&$14$\\ risch&$x -{\mathrm e}^{\frac{1}{2 \ln \left(5 x \right)}}$&$14$\\ norman&$\frac{x \ln \left(5 x \right)-\ln \left(5 x \right) {\mathrm e}^{\frac{1}{2 \ln \left(5 x \right)}}}{\ln \left(5 x \right)}$&$30$\\ \hline \end{longtable}"," ",0,"x-exp(1/2/ln(5*x))","A"
1691,1,69,26,0.033000," ","int((4*x^3-6*x^2+2*x)*exp(16)^2+(-40*x^4+48*x^3+12*x^2-24*x+4)*exp(16)+96*x^5-80*x^4-112*x^3+96*x^2+16*x-16,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-8 \,{\mathrm e}^{16}-16\right) x^{5}+\left(4 \,{\mathrm e}^{16}-16\right) x +\left(-2 \,{\mathrm e}^{32}+4 \,{\mathrm e}^{16}+32\right) x^{3}+\left({\mathrm e}^{32}-12 \,{\mathrm e}^{16}+8\right) x^{2}+\left({\mathrm e}^{32}+12 \,{\mathrm e}^{16}-28\right) x^{4}+16 x^{6}$&$69$\\ default&${\mathrm e}^{32} \left(x^{4}-2 x^{3}+x^{2}\right)+{\mathrm e}^{16} \left(-8 x^{5}+12 x^{4}+4 x^{3}-12 x^{2}+4 x \right)+16 x^{6}-16 x^{5}-28 x^{4}+32 x^{3}+8 x^{2}-16 x$&$74$\\ gosper&$x \left({\mathrm e}^{32} x^{3}-8 \,{\mathrm e}^{16} x^{4}+16 x^{5}-2 \,{\mathrm e}^{32} x^{2}+12 x^{3} {\mathrm e}^{16}-16 x^{4}+x \,{\mathrm e}^{32}+4 x^{2} {\mathrm e}^{16}-28 x^{3}-12 x \,{\mathrm e}^{16}+32 x^{2}+4 \,{\mathrm e}^{16}+8 x -16\right)$&$81$\\ risch&$x^{4} {\mathrm e}^{32}-2 \,{\mathrm e}^{32} x^{3}+{\mathrm e}^{32} x^{2}-8 \,{\mathrm e}^{16} x^{5}+12 \,{\mathrm e}^{16} x^{4}+4 x^{3} {\mathrm e}^{16}-12 x^{2} {\mathrm e}^{16}+4 x \,{\mathrm e}^{16}+16 x^{6}-16 x^{5}-28 x^{4}+32 x^{3}+8 x^{2}-16 x$&$82$\\ \hline \end{longtable}"," ",0,"(-8*exp(16)-16)*x^5+(4*exp(16)-16)*x+(-2*exp(16)^2+4*exp(16)+32)*x^3+(exp(16)^2-12*exp(16)+8)*x^2+(exp(16)^2+12*exp(16)-28)*x^4+16*x^6","B"
1692,1,14,15,0.022000," ","int((50*x+3)*exp(2*ln(2)+25*x^2+3*x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{25 x^{2}+3 x -3}$&$14$\\ gosper&${\mathrm e}^{2 \ln \left(2\right)+25 x^{2}+3 x -3}$&$16$\\ derivativedivides&${\mathrm e}^{2 \ln \left(2\right)+25 x^{2}+3 x -3}$&$16$\\ default&${\mathrm e}^{2 \ln \left(2\right)+25 x^{2}+3 x -3}$&$16$\\ norman&${\mathrm e}^{2 \ln \left(2\right)+25 x^{2}+3 x -3}$&$16$\\ \hline \end{longtable}"," ",0,"4*exp(25*x^2+3*x-3)","A"
1693,1,31,29,0.277000," ","int(((exp((-2*ln(2)+2*x^2+x+2)/x)-2*ln(2)-2*x^2+x+2)*exp(exp(4))+(2*x+1)*exp((-2*ln(2)+2*x^2+x+2)/x)+2*(-x-1)*ln(2)-2*x^3-x^2+3*x+2)*exp(x/exp((-2*ln(2)+2*x^2+x+2)/x))/exp((-2*ln(2)+2*x^2+x+2)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \left({\mathrm e}^{{\mathrm e}^{4}}+x +1\right) {\mathrm e}^{x \,{\mathrm e}^{\frac{-2 x^{2}+2 \ln \left(2\right)-x -2}{x}}}$&$31$\\ norman&$\left(x^{2} {\mathrm e}^{\frac{-2 \ln \left(2\right)+2 x^{2}+x +2}{x}} {\mathrm e}^{x \,{\mathrm e}^{-\frac{-2 \ln \left(2\right)+2 x^{2}+x +2}{x}}}+\left({\mathrm e}^{{\mathrm e}^{4}}+1\right) x \,{\mathrm e}^{\frac{-2 \ln \left(2\right)+2 x^{2}+x +2}{x}} {\mathrm e}^{x \,{\mathrm e}^{-\frac{-2 \ln \left(2\right)+2 x^{2}+x +2}{x}}}\right) {\mathrm e}^{-\frac{-2 \ln \left(2\right)+2 x^{2}+x +2}{x}}$&$111$\\ \hline \end{longtable}"," ",0,"x*(exp(exp(4))+x+1)*exp(x*exp((-2*x^2+2*ln(2)-x-2)/x))","A"
1694,0,0,19,0.035000," ","int((4-2*x)*exp(x)^2*exp(-ln(x*exp(exp(x)^2/x^4))+729)/x^4,x)","\[\int \frac{\left(4-2 x \right) {\mathrm e}^{2 x} {\mathrm e}^{-\ln \left(x \,{\mathrm e}^{\frac{{\mathrm e}^{2 x}}{x^{4}}}\right)+729}}{x^{4}}\, dx\]"," ",0,"int((4-2*x)*exp(x)^2*exp(-ln(x*exp(exp(x)^2/x^4))+729)/x^4,x)","F"
1695,1,41,28,0.313000," ","int(((4*x^4*ln(1-x)+4*x^5)*exp(-ln(1-x)^2-2*x*ln(1-x)+exp(9)-x^2)+2*x^4+x^3-3*x^2)/(x-1)/exp(exp(-ln(1-x)^2-2*x*ln(1-x)+exp(9)-x^2)+2-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3} {\mathrm e}^{-2 \left(1-x \right)^{-2 x} {\mathrm e}^{-\ln \left(1-x \right)^{2}+{\mathrm e}^{9}-x^{2}}-4+2 x}$&$41$\\ \hline \end{longtable}"," ",0,"x^3*exp(-2*(1-x)^(-2*x)*exp(-ln(1-x)^2+exp(9)-x^2)-4+2*x)","A"
1696,1,37,25,0.109000," ","int((4*(2*x^4+12*x^3+14*x^2-24*x-36)*ln(2)^2+2*(-4*x^4-12*x^3+5*x^2+24*x)*ln(2)+2*x^4-4*x^2)/(4*(x^4+6*x^3+9*x^2)*ln(2)^2+2*(-2*x^4-6*x^3)*ln(2)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\frac{6 \ln \left(2\right)}{\left(2 \ln \left(2\right)-1\right) \left(2 x \ln \left(2\right)+6 \ln \left(2\right)-x \right)}+\frac{4}{x}$&$37$\\ risch&$2 x +\frac{\frac{2 \left(8 \ln \left(2\right)^{2}-5 \ln \left(2\right)+2\right) x}{2 \ln \left(2\right)-1}+24 \ln \left(2\right)}{x \left(2 x \ln \left(2\right)+6 \ln \left(2\right)-x \right)}$&$52$\\ norman&$\frac{\frac{\left(28 \ln \left(2\right)^{2}+5 \ln \left(2\right)-2\right) x^{2}}{3 \ln \left(2\right)}+\left(4 \ln \left(2\right)-2\right) x^{3}+24 \ln \left(2\right)}{x \left(2 x \ln \left(2\right)+6 \ln \left(2\right)-x \right)}$&$56$\\ gosper&$\frac{12 x^{3} \ln \left(2\right)^{2}+28 x^{2} \ln \left(2\right)^{2}-6 x^{3} \ln \left(2\right)+5 x^{2} \ln \left(2\right)+72 \ln \left(2\right)^{2}-2 x^{2}}{3 x \left(2 x \ln \left(2\right)+6 \ln \left(2\right)-x \right) \ln \left(2\right)}$&$69$\\ \hline \end{longtable}"," ",0,"2*x+6*ln(2)/(2*ln(2)-1)/(2*x*ln(2)+6*ln(2)-x)+4/x","A"
1697,1,22,26,0.151000," ","int((x^4*exp(2)^4+(-x^3*exp(1)-4*x^3+10*x^2)*exp(2)^2+5*x*exp(1)+4*x^2-20*x+25)/(x^5*exp(1)*exp(2)^4+(-4*x^4+10*x^3)*exp(1)*exp(2)^2+(4*x^3-20*x^2+25*x)*exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{x^{2} {\mathrm e}^{4}-2 x +5}+\ln \left(x \right) {\mathrm e}^{-1}$&$22$\\ norman&$\frac{\frac{x^{2} {\mathrm e}^{4}}{2}+\frac{5}{2}}{x^{2} {\mathrm e}^{4}-2 x +5}+\ln \left(x \right) {\mathrm e}^{-1}$&$36$\\ default&${\mathrm e}^{-1} \left(\ln \left(x \right)-\frac{\left(\munderset{\textit{\_R} =\RootOf \left(25+\textit{\_Z}^{4} {\mathrm e}^{8}-4 \textit{\_Z}^{3} {\mathrm e}^{4}-\left(-10 \,{\mathrm e}^{4}-4\right) \textit{\_Z}^{2}-20 \textit{\_Z} \right)}{\sum}\frac{\left(-\textit{\_R}^{2} {\mathrm e}^{5}+5 \,{\mathrm e}\right) \ln \left(x -\textit{\_R} \right)}{5-\textit{\_R}^{3} {\mathrm e}^{8}+3 \textit{\_R}^{2} {\mathrm e}^{4}-5 \textit{\_R} \,{\mathrm e}^{4}-2 \textit{\_R}}\right)}{4}\right)$&$89$\\ \hline \end{longtable}"," ",0,"x/(x^2*exp(4)-2*x+5)+ln(x)*exp(-1)","A"
1698,1,20,19,0.027000," ","int(((5*x^2+5*x+5)*exp(x)*ln(x)+(5*x+5)*exp(x)-5*x^2-10*x+10)/(x^2*exp(x)^2*ln(x)^2+(-2*x^3+4*x^2)*exp(x)*ln(x)+x^4-4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x +5}{\left(x -2-{\mathrm e}^{x} \ln \left(x \right)\right) x}$&$20$\\ \hline \end{longtable}"," ",0,"5/(x-2-exp(x)*ln(x))*(x+1)/x","A"
1699,1,10,16,0.019000," ","int(1/x/ln(1/5/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\ln \left(\ln \left(\frac{1}{5 x}\right)\right)$&$10$\\ default&$-\ln \left(\ln \left(\frac{1}{5 x}\right)\right)$&$10$\\ norman&$-\ln \left(\ln \left(\frac{1}{5 x}\right)\right)$&$10$\\ risch&$-\ln \left(\ln \left(\frac{1}{5 x}\right)\right)$&$10$\\ \hline \end{longtable}"," ",0,"-ln(ln(1/5/x))","A"
1700,1,14,18,0.032000," ","int((30*ln(2)+5*x^2)/x^2/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x}{\ln \left(2\right)}-\frac{30}{x}$&$14$\\ default&$\frac{5 x -\frac{30 \ln \left(2\right)}{x}}{\ln \left(2\right)}$&$16$\\ norman&$\frac{-30+\frac{5 x^{2}}{\ln \left(2\right)}}{x}$&$16$\\ gosper&$-\frac{5 \left(-x^{2}+6 \ln \left(2\right)\right)}{x \ln \left(2\right)}$&$20$\\ \hline \end{longtable}"," ",0,"5*x/ln(2)-30/x","A"
1701,1,23,26,0.112000," ","int((((4*x-16)*ln(3)+x)*exp(2*ln(3)*ln(x^2)-3*ln(3))-2*x^2+2*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+2 x +\frac{\left(x -4\right) \left(x^{2}\right)^{2 \ln \left(3\right)}}{27}$&$23$\\ norman&${\mathrm e}^{2 \ln \left(3\right) \ln \left(x^{2}\right)-3 \ln \left(3\right)} x +2 x -x^{2}-4 \,{\mathrm e}^{2 \ln \left(3\right) \ln \left(x^{2}\right)-3 \ln \left(3\right)}$&$42$\\ default&$2 x +\frac{3^{2 \ln \left(x^{2}\right)-4 \ln \left(x \right)} x \,{\mathrm e}^{4 \ln \left(3\right) \ln \left(x \right)}}{108 \ln \left(3\right)+27}-\frac{4 \,{\mathrm e}^{4 \ln \left(3\right) \ln \left(x \right)} 3^{2 \ln \left(x^{2}\right)-4 \ln \left(x \right)}}{27}+\frac{4 \,3^{2 \ln \left(x^{2}\right)-4 \ln \left(x \right)} \ln \left(3\right) x \,{\mathrm e}^{4 \ln \left(3\right) \ln \left(x \right)}}{27 \left(4 \ln \left(3\right)+1\right)}-x^{2}$&$99$\\ \hline \end{longtable}"," ",0,"-x^2+2*x+1/27*(x-4)*(x^2)^(2*ln(3))","A"
1702,1,43,32,0.147000," ","int((((-72*x^3-180*x^2-180*x-36)*exp(x/(2*x+2))^2+(-144*x^4-432*x^3-468*x^2-144*x)*exp(x/(2*x+2))-72*x^5-252*x^4-288*x^3-108*x^2)*exp(x)^2*exp((3*x*exp(x/(2*x+2))^2+6*x^2*exp(x/(2*x+2))+3*x^3)*exp(x)^2)-16*x^2-32*x-16)/((9*x^2+18*x+9)*exp((3*x*exp(x/(2*x+2))^2+6*x^2*exp(x/(2*x+2))+3*x^3)*exp(x)^2)^2+(24*x^3+48*x^2+24*x)*exp((3*x*exp(x/(2*x+2))^2+6*x^2*exp(x/(2*x+2))+3*x^3)*exp(x)^2)+16*x^4+32*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{4 x +3 \,{\mathrm e}^{3 x \left(2 x \,{\mathrm e}^{\frac{x}{2 x +2}}+x^{2}+{\mathrm e}^{\frac{x}{x +1}}\right) {\mathrm e}^{2 x}}}$&$43$\\ \hline \end{longtable}"," ",0,"4/(4*x+3*exp(3*x*(2*exp(1/2*x/(x+1))*x+x^2+exp(x/(x+1)))*exp(2*x)))","A"
1703,1,13,12,0.287000," ","int(((2+x)*ln(2/(2+x))-x)/(x^2+2*x)/ln(2/(2+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)+\ln \left(\ln \left(\frac{2}{2+x}\right)\right)$&$13$\\ risch&$\ln \left(x \right)+\ln \left(\ln \left(\frac{2}{2+x}\right)\right)$&$13$\\ derivativedivides&$-\ln \left(\frac{2}{2+x}\right)+\ln \left(-1+\frac{2}{2+x}\right)+\ln \left(\ln \left(\frac{2}{2+x}\right)\right)$&$31$\\ default&$-\ln \left(\frac{2}{2+x}\right)+\ln \left(-1+\frac{2}{2+x}\right)+\ln \left(\ln \left(\frac{2}{2+x}\right)\right)$&$31$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(ln(2/(2+x)))","A"
1704,1,26,27,0.106000," ","int((((12*x^2-5)*exp(x)-192*x^2+16)*exp(2*ln(2)+x^3-1/4*x)+(4*x^2-8*x)*exp(x)+128*x)/(4*exp(x)^2-128*exp(x)+1024),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-x^{2}+{\mathrm e}^{2 \ln \left(2\right)+x^{3}-\frac{x}{4}}}{{\mathrm e}^{x}-16}$&$26$\\ risch&$-\frac{x^{2}}{{\mathrm e}^{x}-16}+\frac{4 \,{\mathrm e}^{\frac{x \left(2 x -1\right) \left(2 x +1\right)}{4}}}{{\mathrm e}^{x}-16}$&$35$\\ \hline \end{longtable}"," ",0,"(-x^2+exp(2*ln(2)+x^3-1/4*x))/(exp(x)-16)","A"
1705,1,45,25,0.642000," ","int(((-4*x^3*ln(4/x)*ln(x)+2*x^3*ln(4/x))*ln(ln(4/x))*ln(ln(ln(4/x)))*ln(ln(ln(ln(4/x))))*ln(ln(ln(ln(ln(4/x)))))+(64*x^3*ln(4/x)*ln(x)-32*x^3*ln(4/x))*ln(ln(4/x))*ln(ln(ln(4/x)))*ln(ln(ln(ln(4/x))))+x^3*ln(x)+4*x^5)/(ln(4/x)*ln(x)^3+12*x^2*ln(4/x)*ln(x)^2+48*x^4*ln(4/x)*ln(x)+64*x^6*ln(4/x))/ln(ln(4/x))/ln(ln(ln(4/x)))/ln(ln(ln(ln(4/x)))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{4} \ln \left(\ln \left(\ln \left(\ln \left(2 \ln \left(2\right)-\ln \left(x \right)\right)\right)\right)\right)}{\left(4 x^{2}+\ln \left(x \right)\right)^{2}}+\frac{16 x^{4}}{\left(4 x^{2}+\ln \left(x \right)\right)^{2}}$&$45$\\ \hline \end{longtable}"," ",0,"-x^4/(4*x^2+ln(x))^2*ln(ln(ln(ln(2*ln(2)-ln(x)))))+16*x^4/(4*x^2+ln(x))^2","A"
1706,1,20,27,0.336000," ","int((150*exp(1)-378)/((x^2-8*x+16)*exp(1)-3*x^2+24*x-48),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{150 \,{\mathrm e}-378}{\left({\mathrm e}-3\right) \left(x -4\right)}$&$20$\\ norman&$-\frac{6 \left(25 \,{\mathrm e}-63\right)}{\left({\mathrm e}-3\right) \left(x -4\right)}$&$20$\\ gosper&$-\frac{6 \left(25 \,{\mathrm e}-63\right)}{x \,{\mathrm e}-4 \,{\mathrm e}-3 x +12}$&$24$\\ meijerg&$-\frac{189 x}{8 \left({\mathrm e}-3\right) \left(-\frac{x}{4}+1\right)}+\frac{75 \,{\mathrm e} x}{8 \left({\mathrm e}-3\right) \left(-\frac{x}{4}+1\right)}$&$36$\\ risch&$-\frac{150 \,{\mathrm e}}{x \,{\mathrm e}-4 \,{\mathrm e}-3 x +12}+\frac{378}{x \,{\mathrm e}-4 \,{\mathrm e}-3 x +12}$&$38$\\ \hline \end{longtable}"," ",0,"-(150*exp(1)-378)/(exp(1)-3)/(x-4)","A"
1707,1,34,26,0.199000," ","int(((-4*x^4+32*x^3-88*x^2+176*x-320)*ln((x^3-4*x^2+6*x-20)/(x-4))+(-x^4+8*x^3-22*x^2+44*x-80)*ln(2)-8*x^4+68*x^3-160*x^2+80*x-8)*exp(1/16*(-8*x+4)*ln((x^3-4*x^2+6*x-20)/(x-4))+1/16*(1-2*x)*ln(2))/(8*x^4-64*x^3+176*x^2-352*x+640),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{x^{3}-4 x^{2}+6 x -20}{x -4}\right)^{-\frac{x}{2}+\frac{1}{4}} 2^{-\frac{x}{8}+\frac{1}{16}}$&$34$\\ norman&${\mathrm e}^{\frac{\left(-8 x +4\right) \ln \left(\frac{x^{3}-4 x^{2}+6 x -20}{x -4}\right)}{16}+\frac{\left(1-2 x \right) \ln \left(2\right)}{16}}$&$39$\\ \hline \end{longtable}"," ",0,"((x^3-4*x^2+6*x-20)/(x-4))^(-1/2*x+1/4)*2^(-1/8*x+1/16)","A"
1708,1,750,34,0.182000," ","int((-47676770628055685775360*x+273809653282897920*x^12-3285715839394775040*x^11+18071437116671262720*x^10-60238123722237542400*x^9+581300746103480647680*x^7+35766029437092495360*x^8+5269564078649052917760*x^4-42944775086917313740800*x^3+69931982822434036162560*x^2-2540552850628977623040*x^6+5370248695124695449600*x^5+3264065424*x^12*ln(x)^13-478590418467834594293840+(63192306608640*x^12-172342654387200*x^11+155108388948480*x^10-45958041169920*x^9)*ln(x)^10+(643412576378880*x^12-2343860099665920*x^11+3171104840724480*x^10-1884279687966720*x^9+109149259756752*x^8)*ln(x)^9+(4715295024033792*x^12-21508363267522560*x^11+38880502829752320*x^10-34744279124459520*x^9+4038522610999824*x^8+7095956373333504*x^7)*ln(x)^8+(25589437323411456*x^12-140300708083531776*x^11+317661980566487040*x^10-379429587898859520*x^9+66362749932105216*x^8+234166560320005632*x^7-124050432159618048*x^6)*ln(x)^7+(104122538074570752*x^12-667090159189622784*x^11+1815967655571750912*x^10-2717774722624389120*x^9+635685288823323648*x^8+3377675233706747904*x^7-3597462532628923392*x^6+1048876698266542080*x^5)*ln(x)^6+(317661980566487040*x^12-2329521190820904960*x^11+7412112879884697600*x^10-13341803183792455680*x^9+3911909469681991680*x^8+27816148983467335680*x^7-44658155577462497280*x^6+26221917456663552000*x^5+4116846936444572592*x^4)*ln(x)^5+(717680770909470720*x^12-5929690303907758080*x^11+21601014678521118720*x^10-45460958996626145280*x^9+16038828825696165888*x^8+143054480486403440640*x^7-307645071755852759040*x^6+272707941549300940800*x^5+86453785665336024432*x^4-134202422146616605440*x^3)*ln(x)^4+(1167113647118352384*x^12-10729915788023562240*x^11+44049127971886202880*x^10-106169693060443668480*x^9+43813386060438306816*x^8+470490291377504649216*x^7-1270276425314488811520*x^6+1510382445503820595200*x^5+724565060814244776192*x^4-2281441176492482292480*x^3+874149785280425452032*x^2)*ln(x)^3+(1293750611761692672*x^12-13101791909586665472*x^11+59861635448973557760*x^10-162642934050041364480*x^9+76896963289748865024*x^8+966412490397036576768*x^7-3143934152653359808512*x^6+4698967608234108518400*x^5+3029999345223205427712*x^4-14493861591834593387520*x^3+11363947208645530876416*x^2-2383838531402784288768*x)*ln(x)^2+(172995467472*x^12-156675140352*x^11)*ln(x)^12+(4230228789504*x^12-7677081877248*x^11+3446853087744*x^10)*ln(x)^11+(876190890505273344*x^12-9692861726214586368*x^11+48792880215012409344*x^10-147583403119481978880*x^9+78685264761603489792*x^8+1133536454901787262976*x^7-4318939846069261959168*x^6+7786860607930808401920*x^5+6323476894378863501312*x^4-40797536332571448053760*x^3+48952387975703825313792*x^2-21454546782625058598912*x-95718083693566918858768)*ln(x))/(-1391569403904+23656679866368*x+1391569403904*x^17-8611031471357952*x^12+3311935181291520*x^13-946267194654720*x^14+17222062942715904*x^11-23656679866368*x^16+189253438930944*x^15-27063241767124992*x^10+33829052208906240*x^9+27063241767124992*x^7-33829052208906240*x^8-3311935181291520*x^4+946267194654720*x^3-189253438930944*x^2-17222062942715904*x^6+8611031471357952*x^5+81*x^17*ln(x)^17+(12937246801920*x^17-168184208424960*x^16+1009105250549760*x^15-3700052585349120*x^14+9250131463372800*x^13-16650236634071040*x^12+22200315512094720*x^11-22200315512094720*x^10+16650236634071040*x^9-9250131463372800*x^8+3700052585349120*x^7-1009105250549760*x^6+168184208424960*x^5-12937246801920*x^4)*ln(x)^4+(14785424916480*x^17-206995948830720*x^16+1345473667399680*x^15-5381894669598720*x^14+14800210341396480*x^13-29600420682792960*x^12+44400631024189440*x^11-50743578313359360*x^10+44400631024189440*x^9-29600420682792960*x^8+14800210341396480*x^7-5381894669598720*x^6+1345473667399680*x^5-206995948830720*x^4+14785424916480*x^3)*ln(x)^3+(11828339933184*x^17-177425098997760*x^16+1241975692984320*x^15-5381894669598720*x^14+16145684008796160*x^13-35520504819351552*x^12+59200841365585920*x^11-76115367470039040*x^10+76115367470039040*x^9-59200841365585920*x^8+35520504819351552*x^7-16145684008796160*x^6+5381894669598720*x^5-1241975692984320*x^4+177425098997760*x^3-11828339933184*x^2)*ln(x)^2+(5508*x^17-5508*x^16)*ln(x)^16+(176256*x^17-352512*x^16+176256*x^15)*ln(x)^15+(3525120*x^17-10575360*x^16+10575360*x^15-3525120*x^14)*ln(x)^14+(49351680*x^17-197406720*x^16+296110080*x^15-197406720*x^14+49351680*x^13)*ln(x)^13+(513257472*x^17-2566287360*x^16+5132574720*x^15-5132574720*x^14+2566287360*x^13-513257472*x^12)*ln(x)^12+(4106059776*x^17-24636358656*x^16+61590896640*x^15-82121195520*x^14+61590896640*x^13-24636358656*x^12+4106059776*x^11)*ln(x)^11+(25809518592*x^17-180666630144*x^16+541999890432*x^15-903333150720*x^14+903333150720*x^13-541999890432*x^12+180666630144*x^11-25809518592*x^10)*ln(x)^10+(129047592960*x^17-1032380743680*x^16+3613332602880*x^15-7226665205760*x^14+9033331507200*x^13-7226665205760*x^12+3613332602880*x^11-1032380743680*x^10+129047592960*x^9)*ln(x)^9+(5914169966592*x^17-94626719465472*x^16+709700395991040*x^15-3311935181291520*x^14+10763789339197440*x^13-25833094414073856*x^12+47360673092468736*x^11-67658104417812480*x^10+76115367470039040*x^9-67658104417812480*x^8+47360673092468736*x^7-25833094414073856*x^6+10763789339197440*x^5-3311935181291520*x^4+709700395991040*x^3-94626719465472*x^2+5914169966592*x)*ln(x)+(516190371840*x^17-4645713346560*x^16+18582853386240*x^15-43359991234560*x^14+65039986851840*x^13-65039986851840*x^12+43359991234560*x^11-18582853386240*x^10+4645713346560*x^9-516190371840*x^8)*ln(x)^8+(1651809189888*x^17-16518091898880*x^16+74331413544960*x^15-198217102786560*x^14+346879929876480*x^13-416255915851776*x^12+346879929876480*x^11-198217102786560*x^10+74331413544960*x^9-16518091898880*x^8+1651809189888*x^7)*ln(x)^7+(4204605210624*x^17-46250657316864*x^16+231253286584320*x^15-693759859752960*x^14+1387519719505920*x^13-1942527607308288*x^12+1942527607308288*x^11-1387519719505920*x^10+693759859752960*x^9-231253286584320*x^8+46250657316864*x^7-4204605210624*x^6)*ln(x)^6+(8409210421248*x^17-100910525054976*x^16+555007887802368*x^15-1850026292674560*x^14+4162559158517760*x^13-6660094653628416*x^12+7770110429233152*x^11-6660094653628416*x^10+4162559158517760*x^9-1850026292674560*x^8+555007887802368*x^7-100910525054976*x^6+8409210421248*x^5)*ln(x)^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{279841 \left(-21201774543959905-2816138632531968 x +3079296 x^{12} \ln \left(x \right)^{10}+449595380736 x^{5} \ln \left(x \right)^{5}-1197432585216 x^{6} \ln \left(x \right)^{5}-49893024384 x^{6} \ln \left(x \right)^{6}+667695135744 x^{7} \ln \left(x \right)^{5}+13390557659136 x^{8} \ln \left(x \right)^{3}+55641261312 x^{7} \ln \left(x \right)^{6}-24216569118720 x^{9} \ln \left(x \right)^{2}+1987187904 x^{7} \ln \left(x \right)^{7}+836909853696 x^{8} \ln \left(x \right)^{5}+8072189706240 x^{10} \ln \left(x \right)+104613731712 x^{8} \ln \left(x \right)^{6}-5297374494720 x^{9} \ln \left(x \right)^{4}+7472409408 x^{8} \ln \left(x \right)^{7}-1324343623680 x^{9} \ln \left(x \right)^{5}+6054142279680 x^{10} \ln \left(x \right)^{3}+233512794 x^{8} \ln \left(x \right)^{8}-220723937280 x^{9} \ln \left(x \right)^{6}+2648687247360 x^{10} \ln \left(x \right)^{4}-2018047426560 x^{11} \ln \left(x \right)^{2}-23648993280 x^{9} \ln \left(x \right)^{7}+794606174208 x^{10} \ln \left(x \right)^{5}-1513535569920 x^{11} \ln \left(x \right)^{3}-1478062080 x^{9} \ln \left(x \right)^{8}+165542952960 x^{10} \ln \left(x \right)^{6}+201804742656 x^{12} \ln \left(x \right)^{2}-41057280 x^{9} \ln \left(x \right)^{9}+23648993280 x^{10} \ln \left(x \right)^{7}-264868724736 x^{11} \ln \left(x \right)^{5}+168170618880 x^{12} \ln \left(x \right)^{3}+2217093120 x^{10} \ln \left(x \right)^{8}-66217181184 x^{11} \ln \left(x \right)^{6}+94595973120 x^{12} \ln \left(x \right)^{4}+123171840 x^{10} \ln \left(x \right)^{9}-11824496640 x^{11} \ln \left(x \right)^{7}+37838389248 x^{12} \ln \left(x \right)^{5}+3079296 x^{10} \ln \left(x \right)^{10}-1478062080 x^{11} \ln \left(x \right)^{8}+11036196864 x^{12} \ln \left(x \right)^{6}-123171840 x^{11} \ln \left(x \right)^{9}+2364899328 x^{12} \ln \left(x \right)^{7}-6158592 x^{11} \ln \left(x \right)^{10}+369515520 x^{12} \ln \left(x \right)^{8}-139968 x^{11} \ln \left(x \right)^{11}+41057280 x^{12} \ln \left(x \right)^{9}+2041973513874432 x^{2} \ln \left(x \right)+42732488687616 x^{7} \ln \left(x \right)^{2}+17805203619840 x^{7} \ln \left(x \right)^{3}-24216569118720 x^{9} \ln \left(x \right)-14126331985920 x^{9} \ln \left(x \right)^{3}+9081213419520 x^{10} \ln \left(x \right)^{2}-1614437941248 x^{11} \ln \left(x \right)-11974325852160 x^{6} \ln \left(x \right)^{4}+4451300904960 x^{7} \ln \left(x \right)^{4}+48922361856 x^{12}-587068342272 x^{11}+255246689234304 x^{2} \ln \left(x \right)^{2}+3228875882496 x^{10}-10762919608320 x^{9}+32558086619136 x^{7}+15303494467584 x^{8}+122015383888896 x^{4}-2398486900543488 x^{3}+4083947027748864 x^{2}-204361827876864 x^{6}+460385669873664 x^{5}-1798865175407616 x^{3} \ln \left(x \right)+26781115318272 x^{8} \ln \left(x \right)^{2}-191589213634560 x^{6} \ln \left(x \right)^{2}-306542741815296 x^{6} \ln \left(x \right)+56976651583488 x^{7} \ln \left(x \right)+7625961493056 x^{4} \ln \left(x \right)^{3}-63863071211520 x^{6} \ln \left(x \right)^{3}+71935260917760 x^{5} \ln \left(x \right)^{3}-37476357820992 x^{3} \ln \left(x \right)^{3}+146767085568 x^{12} \ln \left(x \right)+575482087342080 x^{5} \ln \left(x \right)+45755768958336 x^{4} \ln \left(x \right)^{2}+30606988935168 x^{8} \ln \left(x \right)+122015383888896 x^{4} \ln \left(x \right)-704034658132992 x \ln \left(x \right)+8991907614720 x^{5} \ln \left(x \right)^{4}-756767784960 x^{11} \ln \left(x \right)^{4}+4184549268480 x^{8} \ln \left(x \right)^{4}+476622593316 x^{4} \ln \left(x \right)^{4}+287741043671040 x^{5} \ln \left(x \right)^{2}-449716293851904 x^{3} \ln \left(x \right)^{2}+2916 x^{12} \ln \left(x \right)^{12}+139968 x^{12} \ln \left(x \right)^{11}\right)}{81 \left(x \ln \left(x \right)+4 x -4\right)^{16}}$&$750$\\ \hline \end{longtable}"," ",0,"-279841/81*(-21201774543959905-2816138632531968*x+3079296*x^12*ln(x)^10+449595380736*x^5*ln(x)^5-1197432585216*x^6*ln(x)^5-49893024384*x^6*ln(x)^6+667695135744*x^7*ln(x)^5+13390557659136*x^8*ln(x)^3+55641261312*x^7*ln(x)^6-24216569118720*x^9*ln(x)^2+1987187904*x^7*ln(x)^7+836909853696*x^8*ln(x)^5+8072189706240*x^10*ln(x)+104613731712*x^8*ln(x)^6-5297374494720*x^9*ln(x)^4+7472409408*x^8*ln(x)^7-1324343623680*x^9*ln(x)^5+6054142279680*x^10*ln(x)^3+233512794*x^8*ln(x)^8-220723937280*x^9*ln(x)^6+2648687247360*x^10*ln(x)^4-2018047426560*x^11*ln(x)^2-23648993280*x^9*ln(x)^7+794606174208*x^10*ln(x)^5-1513535569920*x^11*ln(x)^3-1478062080*x^9*ln(x)^8+165542952960*x^10*ln(x)^6+201804742656*x^12*ln(x)^2-41057280*x^9*ln(x)^9+23648993280*x^10*ln(x)^7-264868724736*x^11*ln(x)^5+168170618880*x^12*ln(x)^3+2217093120*x^10*ln(x)^8-66217181184*x^11*ln(x)^6+94595973120*x^12*ln(x)^4+123171840*x^10*ln(x)^9-11824496640*x^11*ln(x)^7+37838389248*x^12*ln(x)^5+3079296*x^10*ln(x)^10-1478062080*x^11*ln(x)^8+11036196864*x^12*ln(x)^6-123171840*x^11*ln(x)^9+2364899328*x^12*ln(x)^7-6158592*x^11*ln(x)^10+369515520*x^12*ln(x)^8-139968*x^11*ln(x)^11+41057280*x^12*ln(x)^9+2041973513874432*x^2*ln(x)+42732488687616*x^7*ln(x)^2+17805203619840*x^7*ln(x)^3-24216569118720*x^9*ln(x)-14126331985920*x^9*ln(x)^3+9081213419520*x^10*ln(x)^2-1614437941248*x^11*ln(x)-11974325852160*x^6*ln(x)^4+4451300904960*x^7*ln(x)^4+48922361856*x^12-587068342272*x^11+255246689234304*x^2*ln(x)^2+3228875882496*x^10-10762919608320*x^9+32558086619136*x^7+15303494467584*x^8+122015383888896*x^4-2398486900543488*x^3+4083947027748864*x^2-204361827876864*x^6+460385669873664*x^5-1798865175407616*x^3*ln(x)+26781115318272*x^8*ln(x)^2-191589213634560*x^6*ln(x)^2-306542741815296*x^6*ln(x)+56976651583488*x^7*ln(x)+7625961493056*x^4*ln(x)^3-63863071211520*x^6*ln(x)^3+71935260917760*x^5*ln(x)^3-37476357820992*x^3*ln(x)^3+146767085568*x^12*ln(x)+575482087342080*x^5*ln(x)+45755768958336*x^4*ln(x)^2+30606988935168*x^8*ln(x)+122015383888896*x^4*ln(x)-704034658132992*x*ln(x)+8991907614720*x^5*ln(x)^4-756767784960*x^11*ln(x)^4+4184549268480*x^8*ln(x)^4+476622593316*x^4*ln(x)^4+287741043671040*x^5*ln(x)^2-449716293851904*x^3*ln(x)^2+2916*x^12*ln(x)^12+139968*x^12*ln(x)^11)/(x*ln(x)+4*x-4)^16","B"
1709,1,26,30,0.030000," ","int(((-8*x^7+14*x^6-18*x^5+10*x^4-4*x^3)*ln(x)+6*x^8-8*x^7+8*x^6-2*x^4+2*x^3)*exp((x^8-2*x^7+3*x^6-2*x^5+x^4)/(ln(x)^2-2*x*ln(x)+x^2))/(ln(x)^3-3*x*ln(x)^2+3*x^2*ln(x)-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{x^{4} \left(x^{2}-x +1\right)^{2}}{\left(\ln \left(x \right)-x \right)^{2}}}$&$26$\\ \hline \end{longtable}"," ",0,"-exp(x^4*(x^2-x+1)^2/(ln(x)-x)^2)","A"
1710,1,24,18,0.493000," ","int(((-4*x+8)*ln(x-2)+4*x-2)/(10*x^2-25*x+10)/ln(x-2)/ln(ln(x-2)^2/(4*x^2-4*x+1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(\ln \left(\frac{\ln \left(x -2\right)^{2}}{4 x^{2}-4 x +1}\right)\right)}{5}$&$24$\\ risch&$\frac{\ln \left(\ln \left(\ln \left(x -2\right)\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{\left(x -\frac{1}{2}\right)^{2}}\right) \mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x -2\right)^{2}}{\left(x -\frac{1}{2}\right)^{2}}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{\left(x -\frac{1}{2}\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \ln \left(x -2\right)^{2}}{\left(x -\frac{1}{2}\right)^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x -\frac{1}{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x -\frac{1}{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x -\frac{1}{2}\right)\right) \mathrm{csgn}\left(i \left(x -\frac{1}{2}\right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x -\frac{1}{2}\right)^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i \ln \left(x -2\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \ln \left(x -2\right)\right) \mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i \ln \left(x -2\right)^{2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x -2\right)^{2}}{\left(x -\frac{1}{2}\right)^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \ln \left(x -2\right)^{2}}{\left(x -\frac{1}{2}\right)^{2}}\right)^{3}-4 i \ln \left(x -\frac{1}{2}\right)-4 i \ln \left(2\right)\right)}{4}\right)}{5}$&$255$\\ \hline \end{longtable}"," ",0,"1/5*ln(ln(ln(x-2)^2/(4*x^2-4*x+1)))","A"
1711,1,18,20,0.119000," ","int(((x*ln(6)-3*x)*ln(x)^2+2*x^2*exp(x^2)*ln(x)-exp(x^2))/(x*ln(6)-3*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{{\mathrm e}^{x^{2}}}{\left(\ln \left(6\right)-3\right) \ln \left(x \right)}$&$18$\\ risch&$x +\frac{{\mathrm e}^{x^{2}}}{\left(\ln \left(2\right)+\ln \left(3\right)-3\right) \ln \left(x \right)}$&$20$\\ norman&$\frac{x \ln \left(x \right)+\frac{{\mathrm e}^{x^{2}}}{\ln \left(6\right)-3}}{\ln \left(x \right)}$&$22$\\ \hline \end{longtable}"," ",0,"x+1/(ln(6)-3)*exp(x^2)/ln(x)","A"
1712,1,23,23,0.330000," ","int(((2*x+1)*ln(5)^2+(-4*x^2-26*x-15)*ln(5)+2*x^3+25*x^2+84*x+54)/(ln(5)^2+(-2*x-12)*ln(5)+x^2+12*x+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+x -\frac{-3 \ln \left(5\right)+18}{-\ln \left(5\right)+x +6}$&$23$\\ risch&$x^{2}+x -\frac{3 \ln \left(5\right)}{\ln \left(5\right)-x -6}+\frac{18}{\ln \left(5\right)-x -6}$&$30$\\ norman&$\frac{-x^{3}+\left(-7+\ln \left(5\right)\right) x^{2}+54+\ln \left(5\right)^{2}-15 \ln \left(5\right)}{\ln \left(5\right)-x -6}$&$34$\\ gosper&$\frac{x^{2} \ln \left(5\right)-x^{3}+\ln \left(5\right)^{2}-7 x^{2}-15 \ln \left(5\right)+54}{\ln \left(5\right)-x -6}$&$37$\\ meijerg&$\left(2 \ln \left(5\right)^{2}-26 \ln \left(5\right)+84\right) \left(-\frac{x}{\left(-\ln \left(5\right)+6\right) \left(1+\frac{x}{-\ln \left(5\right)+6}\right)}+\ln \left(1+\frac{x}{-\ln \left(5\right)+6}\right)\right)+\left(-2 \ln \left(5\right)+12\right) \left(-\ln \left(5\right)+6\right) \left(-\frac{x \left(-\frac{2 x^{2}}{\left(-\ln \left(5\right)+6\right)^{2}}+\frac{6 x}{-\ln \left(5\right)+6}+12\right)}{4 \left(-\ln \left(5\right)+6\right) \left(1+\frac{x}{-\ln \left(5\right)+6}\right)}+3 \ln \left(1+\frac{x}{-\ln \left(5\right)+6}\right)\right)+\left(-4 \ln \left(5\right)+25\right) \left(-\ln \left(5\right)+6\right) \left(\frac{x \left(\frac{3 x}{-\ln \left(5\right)+6}+6\right)}{3 \left(-\ln \left(5\right)+6\right) \left(1+\frac{x}{-\ln \left(5\right)+6}\right)}-2 \ln \left(1+\frac{x}{-\ln \left(5\right)+6}\right)\right)+\frac{\ln \left(5\right)^{2} x}{\left(-\ln \left(5\right)+6\right)^{2} \left(1+\frac{x}{-\ln \left(5\right)+6}\right)}-\frac{15 \ln \left(5\right) x}{\left(-\ln \left(5\right)+6\right)^{2} \left(1+\frac{x}{-\ln \left(5\right)+6}\right)}+\frac{54 x}{\left(-\ln \left(5\right)+6\right)^{2} \left(1+\frac{x}{-\ln \left(5\right)+6}\right)}$&$281$\\ \hline \end{longtable}"," ",0,"x^2+x-(-3*ln(5)+18)/(-ln(5)+x+6)","A"
1713,1,77,26,0.617000," ","int(((50*x^3-250*x^2+450*x)*ln((x^2-5*x+9)*ln(5))^2+((-50*x^4+150*x^3+50*x^2-900*x)*exp(x)+80*x^3-350*x^2+820*x-1800)*ln((x^2-5*x+9)*ln(5))+(50*x^4-200*x^3+200*x^2+450*x)*exp(x)^2+(10*x^4+70*x^3-560*x^2+980*x+1800)*exp(x)-18*x^3-320*x^2+818*x+360)/(x^2-5*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 \ln \left(\left(x^{2}-5 x +9\right) \ln \left(5\right)\right)^{2} x^{2}+\left(-50 \,{\mathrm e}^{x} x^{2}-10 x^{2}-200 x \right) \ln \left(\left(x^{2}-5 x +9\right) \ln \left(5\right)\right)+25 \,{\mathrm e}^{2 x} x^{2}+10 \,{\mathrm e}^{x} x^{2}+x^{2}+200 \,{\mathrm e}^{x} x +40 x$&$77$\\ \hline \end{longtable}"," ",0,"25*ln((x^2-5*x+9)*ln(5))^2*x^2+(-50*exp(x)*x^2-10*x^2-200*x)*ln((x^2-5*x+9)*ln(5))+25*exp(2*x)*x^2+10*exp(x)*x^2+x^2+200*exp(x)*x+40*x","B"
1714,1,18,17,0.270000," ","int((-8*x^3*ln(5)-21*x^2-42)*exp(1/4*(-4*x*ln(5)*ln(x^2+2)+21)/x)/(4*x^4+8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}+2\right)^{-\ln \left(5\right)} {\mathrm e}^{\frac{21}{4 x}}$&$18$\\ gosper&${\mathrm e}^{-\frac{4 x \ln \left(5\right) \ln \left(x^{2}+2\right)-21}{4 x}}$&$20$\\ norman&${\mathrm e}^{\frac{-4 x \ln \left(5\right) \ln \left(x^{2}+2\right)+21}{4 x}}$&$20$\\ \hline \end{longtable}"," ",0,"(x^2+2)^(-ln(5))*exp(21/4/x)","A"
1715,1,128,26,0.766000," ","int(((-12*ln(4/x)-48)*ln(x/exp(x*exp(4)))+(12*x*exp(4)-12)*ln(4/x)+36*x*exp(4)-36)*exp((12*ln(4/x)+36)/x/ln(x/exp(x*exp(4))))/x^2/ln(x/exp(x*exp(4)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{48 \ln \left(2\right)-24 \ln \left(x \right)+72}{x \left(-i \mathrm{csgn}\left(i x \,{\mathrm e}^{-x \,{\mathrm e}^{4}}\right)^{3} \pi +i \mathrm{csgn}\left(i x \,{\mathrm e}^{-x \,{\mathrm e}^{4}}\right)^{2} \mathrm{csgn}\left(i x \right) \pi +i \mathrm{csgn}\left(i x \,{\mathrm e}^{-x \,{\mathrm e}^{4}}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x \,{\mathrm e}^{4}}\right) \pi -i \mathrm{csgn}\left(i x \,{\mathrm e}^{-x \,{\mathrm e}^{4}}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x \,{\mathrm e}^{4}}\right) \pi +2 \ln \left(x \right)-2 \ln \left({\mathrm e}^{x \,{\mathrm e}^{4}}\right)\right)}}$&$128$\\ \hline \end{longtable}"," ",0,"exp(24*(2*ln(2)-ln(x)+3)/x/(-I*csgn(I*x*exp(-x*exp(4)))^3*Pi+I*csgn(I*x*exp(-x*exp(4)))^2*csgn(I*x)*Pi+I*csgn(I*x*exp(-x*exp(4)))^2*csgn(I*exp(-x*exp(4)))*Pi-I*csgn(I*x*exp(-x*exp(4)))*csgn(I*x)*csgn(I*exp(-x*exp(4)))*Pi+2*ln(x)-2*ln(exp(x*exp(4)))))","C"
1716,1,30,24,0.051000," ","int((ln(x)^2+(96*x^3-244*x^2+26*x-45)*ln(x)+2304*x^6-11712*x^5+16420*x^4-6540*x^3+6905*x^2-648*x+495)/(ln(x)^2+(96*x^3-244*x^2+30*x-50)*ln(x)+2304*x^6-11712*x^5+16324*x^4-6060*x^3+6325*x^2-750*x+625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{x \left(2 x -5\right)}{48 x^{3}-122 x^{2}+\ln \left(x \right)+15 x -25}$&$30$\\ norman&$\frac{x \ln \left(x \right)-122 x^{3}-20 x +13 x^{2}+48 x^{4}}{48 x^{3}-122 x^{2}+\ln \left(x \right)+15 x -25}$&$44$\\ \hline \end{longtable}"," ",0,"x-x*(2*x-5)/(48*x^3-122*x^2+ln(x)+15*x-25)","A"
1717,1,22,24,0.147000," ","int((4*x^2*ln(2)*ln(x)+3*x^2)*exp(ln(2)*ln(x)^2)^2+8*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +x^{3} 2^{2 \ln \left(x \right)^{2}}+4 x^{2}$&$22$\\ default&$-x +x^{3} {\mathrm e}^{2 \ln \left(2\right) \ln \left(x \right)^{2}}+4 x^{2}$&$24$\\ norman&$-x +x^{3} {\mathrm e}^{2 \ln \left(2\right) \ln \left(x \right)^{2}}+4 x^{2}$&$24$\\ \hline \end{longtable}"," ",0,"-x+x^3*(2^(ln(x)^2))^2+4*x^2","A"
1718,1,51,16,0.039000," ","int(((x^4+8*x^3+24*x^2+31*x+16)*ln(-x^4-8*x^3-24*x^2-31*x-16)*ln(ln(-x^4-8*x^3-24*x^2-31*x-16))+(4*x^4+24*x^3+48*x^2+31*x)*ln(x)+20*x^4+120*x^3+240*x^2+155*x)/(x^5+8*x^4+24*x^3+31*x^2+16*x)/ln(-x^4-8*x^3-24*x^2-31*x-16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right) \ln \left(\ln \left(-x^{4}-8 x^{3}-24 x^{2}-31 x -16\right)\right)+5 \ln \left(\ln \left(-x^{4}-8 x^{3}-24 x^{2}-31 x -16\right)\right)$&$51$\\ \hline \end{longtable}"," ",0,"ln(x)*ln(ln(-x^4-8*x^3-24*x^2-31*x-16))+5*ln(ln(-x^4-8*x^3-24*x^2-31*x-16))","B"
1719,1,9,12,0.023000," ","int(-4/x/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{4 \ln \left(x \right)}{\ln \left(2\right)}$&$9$\\ norman&$-\frac{4 \ln \left(x \right)}{\ln \left(2\right)}$&$9$\\ risch&$-\frac{4 \ln \left(x \right)}{\ln \left(2\right)}$&$9$\\ \hline \end{longtable}"," ",0,"-4*ln(x)/ln(2)","A"
1720,1,18,18,0.055000," ","int(1/4*(4*(12*x-4)*ln(2)+(-12*x+4)*ln(2)+3*x^3-3*x^2)*exp(-3*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{{\mathrm e}^{-3 x -1} x \left(x^{2}+12 \ln \left(2\right)\right)}{4}$&$18$\\ risch&$\frac{\left(-x^{3}-12 x \ln \left(2\right)\right) {\mathrm e}^{-3 x -1}}{4}$&$20$\\ norman&$-\frac{x^{3} {\mathrm e}^{-3 x -1}}{4}-3 x \ln \left(2\right) {\mathrm e}^{-3 x -1}$&$24$\\ derivativedivides&$\frac{{\mathrm e}^{-3 x -1} \left(-3 x -1\right)}{36}+\frac{{\mathrm e}^{-3 x -1}}{108}+\frac{{\mathrm e}^{-3 x -1} \left(-3 x -1\right)^{2}}{36}+\frac{{\mathrm e}^{-3 x -1} \left(-3 x -1\right)^{3}}{108}+{\mathrm e}^{-3 x -1} \ln \left(2\right)+{\mathrm e}^{-3 x -1} \ln \left(2\right) \left(-3 x -1\right)$&$76$\\ default&$\frac{{\mathrm e}^{-3 x -1} \left(-3 x -1\right)}{36}+\frac{{\mathrm e}^{-3 x -1}}{108}+\frac{{\mathrm e}^{-3 x -1} \left(-3 x -1\right)^{2}}{36}+\frac{{\mathrm e}^{-3 x -1} \left(-3 x -1\right)^{3}}{108}+{\mathrm e}^{-3 x -1} \ln \left(2\right)+{\mathrm e}^{-3 x -1} \ln \left(2\right) \left(-3 x -1\right)$&$76$\\ meijerg&$-\ln \left(2\right) {\mathrm e}^{-1} \left(1-{\mathrm e}^{-3 x}\right)+\ln \left(2\right) {\mathrm e}^{-1} \left(1-\frac{\left(6 x +2\right) {\mathrm e}^{-3 x}}{2}\right)+\frac{{\mathrm e}^{-1} \left(6-\frac{\left(108 x^{3}+108 x^{2}+72 x +24\right) {\mathrm e}^{-3 x}}{4}\right)}{108}-\frac{{\mathrm e}^{-1} \left(2-\frac{\left(27 x^{2}+18 x +6\right) {\mathrm e}^{-3 x}}{3}\right)}{36}$&$83$\\ \hline \end{longtable}"," ",0,"-1/4*exp(-3*x-1)*x*(x^2+12*ln(2))","A"
1721,1,177,33,0.150000," ","int((((2*x^4+4*x^3-6*x^2)*ln(3+x)^2+(-4*x^4-8*x^3+12*x^2)*ln(x)*ln(3+x)+(2*x^4+4*x^3-6*x^2)*ln(x)^2)*ln(x^2-2*x+1)^2+(((-4*x^4-8*x^3+12*x^2)*ln(x)+4*x^5+8*x^4-12*x^3)*ln(3+x)+(4*x^4+8*x^3-12*x^2)*ln(x)^2+(-4*x^5-8*x^4+12*x^3)*ln(x))*ln(x^2-2*x+1)+(-8*x^2-24*x)*ln(3+x)^2+((16*x^2+48*x)*ln(x)-4*x^3-4*x^2+20*x-12)*ln(3+x)+(2*x^4+4*x^3-14*x^2-24*x)*ln(x)^2+(-4*x^5-8*x^4+16*x^3+4*x^2-8*x)*ln(x)+2*x^6+4*x^5-6*x^4-12*x^2+12*x)/(((x^3+2*x^2-3*x)*ln(3+x)^2+(-2*x^3-4*x^2+6*x)*ln(x)*ln(3+x)+(x^3+2*x^2-3*x)*ln(x)^2)*ln(x^2-2*x+1)^2+(((-2*x^3-4*x^2+6*x)*ln(x)+2*x^4+4*x^3-6*x^2)*ln(3+x)+(2*x^3+4*x^2-6*x)*ln(x)^2+(-2*x^4-4*x^3+6*x^2)*ln(x))*ln(x^2-2*x+1)+(x^3+2*x^2-3*x)*ln(x)^2+(-2*x^4-4*x^3+6*x^2)*ln(x)+x^5+2*x^4-3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{8 i \left(\ln \left(x \right)-\ln \left(3+x \right)\right)}{\pi  \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i \left(x -1\right)^{2}\right) \ln \left(x \right)-\pi  \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i \left(x -1\right)^{2}\right) \ln \left(3+x \right)-2 \pi  \,\mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i \left(x -1\right)^{2}\right)^{2} \ln \left(x \right)+2 \pi  \,\mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i \left(x -1\right)^{2}\right)^{2} \ln \left(3+x \right)+\pi  \mathrm{csgn}\left(i \left(x -1\right)^{2}\right)^{3} \ln \left(x \right)-\pi  \mathrm{csgn}\left(i \left(x -1\right)^{2}\right)^{3} \ln \left(3+x \right)+4 i \ln \left(x \right) \ln \left(x -1\right)-4 i \ln \left(3+x \right) \ln \left(x -1\right)-2 i x +2 i \ln \left(x \right)}$&$177$\\ \hline \end{longtable}"," ",0,"x^2+8*I*(ln(x)-ln(3+x))/(Pi*csgn(I*(x-1))^2*csgn(I*(x-1)^2)*ln(x)-Pi*csgn(I*(x-1))^2*csgn(I*(x-1)^2)*ln(3+x)-2*Pi*csgn(I*(x-1))*csgn(I*(x-1)^2)^2*ln(x)+2*Pi*csgn(I*(x-1))*csgn(I*(x-1)^2)^2*ln(3+x)+Pi*csgn(I*(x-1)^2)^3*ln(x)-Pi*csgn(I*(x-1)^2)^3*ln(3+x)+4*I*ln(x)*ln(x-1)-4*I*ln(3+x)*ln(x-1)-2*I*x+2*I*ln(x))","C"
1722,1,20,15,0.349000," ","int(1/12*((2*x+2)*exp(x)*ln(x^2)+(6*x+10)*exp(x)-3)*exp(1/6*x*exp(x)*ln(x^2)+1/2*exp(x)*x-1/4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{\frac{x \,{\mathrm e}^{x} \ln \left(x^{2}\right)}{6}+\frac{{\mathrm e}^{x} x}{2}-\frac{x}{4}}$&$20$\\ norman&${\mathrm e}^{\frac{x \,{\mathrm e}^{x} \ln \left(x^{2}\right)}{6}+\frac{{\mathrm e}^{x} x}{2}-\frac{x}{4}}$&$20$\\ risch&${\mathrm e}^{\frac{x \left(-i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i {\mathrm e}^{x} \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+4 \,{\mathrm e}^{x} \ln \left(x \right)+6 \,{\mathrm e}^{x}-3\right)}{12}}$&$72$\\ \hline \end{longtable}"," ",0,"exp(1/6*x*exp(x)*ln(x^2)+1/2*exp(x)*x-1/4*x)","A"
1723,1,20,16,0.022000," ","int(ln(x^3)+4*exp(4*x+1)+2*x-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-5 x +{\mathrm e}^{4 x +1}+x \ln \left(x^{3}\right)$&$20$\\ norman&$x^{2}-5 x +{\mathrm e}^{4 x +1}+x \ln \left(x^{3}\right)$&$20$\\ risch&$x^{2}-5 x +{\mathrm e}^{4 x +1}+x \ln \left(x^{3}\right)$&$20$\\ \hline \end{longtable}"," ",0,"x^2-5*x+exp(4*x+1)+x*ln(x^3)","A"
1724,1,41,24,0.698000," ","int(((x^2-1)*(2*ln(5)+I*Pi)^2+6*x*(2*ln(5)+I*Pi)+9)/(4*x^2*(2*ln(5)+I*Pi)^2+24*x*(2*ln(5)+I*Pi)+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{4}-\frac{i \ln \left(5\right)}{2 \left(-2 i x \ln \left(5\right)+\pi  x -3 i\right)}+\frac{\pi}{-8 i x \ln \left(5\right)+4 \pi  x -12 i}$&$41$\\ default&$\frac{x}{4}-\frac{-\pi^{2}+4 i \pi  \ln \left(5\right)+4 \ln \left(5\right)^{2}}{4 \left(-2 i \ln \left(5\right)+\pi \right) \left(-2 i x \ln \left(5\right)+\pi  x -3 i\right)}$&$48$\\ norman&$\frac{\left(\frac{\pi^{2}}{4}+\ln \left(5\right)^{2}\right) x^{3}+\left(\frac{9}{4}+\frac{\pi^{2}}{4}-\ln \left(5\right)^{2}-i \pi  \ln \left(5\right)\right) x +\left(-\frac{i \pi^{3}}{12}-\frac{i \pi  \ln \left(5\right)^{2}}{3}-\frac{\pi^{2} \ln \left(5\right)}{6}-\frac{2 \ln \left(5\right)^{3}}{3}+3 \ln \left(5\right)\right) x^{2}}{\pi^{2} x^{2}+4 x^{2} \ln \left(5\right)^{2}+12 x \ln \left(5\right)+9}$&$99$\\ gosper&$-\frac{\left(-2 i x \ln \left(5\right)+\pi  x -3 i\right) x \left(4 \pi  \ln \left(5\right)+i \pi^{2}-4 i \ln \left(5\right)^{2}+6 i x \ln \left(5\right)-3 \pi  x +9 i\right) \left(-4 i \pi  \ln \left(5\right) x^{2}+\pi^{2} x^{2}-4 x^{2} \ln \left(5\right)^{2}+4 i \pi  \ln \left(5\right)-6 i \pi  x -\pi^{2}+4 \ln \left(5\right)^{2}-12 x \ln \left(5\right)-9\right)}{12 \left(-2 i x \ln \left(5\right)+\pi  x -2 i \ln \left(5\right)+\pi -3 i\right) \left(-2 i x \ln \left(5\right)+\pi  x +2 i \ln \left(5\right)-\pi -3 i\right) \left(-4 i \pi  \ln \left(5\right) x^{2}+\pi^{2} x^{2}-4 x^{2} \ln \left(5\right)^{2}-6 i \pi  x -12 x \ln \left(5\right)-9\right)}$&$182$\\ \hline \end{longtable}"," ",0,"1/4*x-1/2*I/(-2*I*x*ln(5)+Pi*x-3*I)*ln(5)+1/4/(-2*I*x*ln(5)+Pi*x-3*I)*Pi","A"
1725,1,62,25,0.219000," ","int(((3*x^3+2*x)*exp(-ln((x^2+2)/x)+4)+(2*x^3+4*x)*ln(2)^2)/((4*x^2+8)*exp(-ln((x^2+2)/x)+4)^2+(8*x^2+16)*ln(2)^2*exp(-ln((x^2+2)/x)+4)+(4*x^2+8)*ln(2)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-3 x^{2}-\frac{{\mathrm e}^{4} x^{3}}{\ln \left(2\right)^{2}}+\frac{x^{6}}{4}-\frac{2 \,{\mathrm e}^{4} x}{\ln \left(2\right)^{2}}-4}{\left(x^{2}+2\right) \left(x^{2} \ln \left(2\right)^{2}+x \,{\mathrm e}^{4}+2 \ln \left(2\right)^{2}\right)}$&$62$\\ risch&$\frac{x^{2}}{4 \ln \left(2\right)^{2}}-\frac{x \,{\mathrm e}^{4}}{4 \ln \left(2\right)^{4}}+\frac{-\frac{\left(-2 \ln \left(2\right)^{4}+{\mathrm e}^{8}\right) {\mathrm e}^{4} x}{\ln \left(2\right)^{2}}-2 \,{\mathrm e}^{8}}{4 \ln \left(2\right)^{4} \left(x^{2} \ln \left(2\right)^{2}+x \,{\mathrm e}^{4}+2 \ln \left(2\right)^{2}\right)}$&$70$\\ default&$-\frac{-x^{2} \ln \left(2\right)^{2}+x \,{\mathrm e}^{4}}{4 \ln \left(2\right)^{4}}+\frac{\munderset{\textit{\_R} =\RootOf \left(\ln \left(2\right)^{4} \textit{\_Z}^{4}+2 \,{\mathrm e}^{4} \ln \left(2\right)^{2} \textit{\_Z}^{3}+\left(4 \ln \left(2\right)^{4}+{\mathrm e}^{8}\right) \textit{\_Z}^{2}+4 \ln \left(2\right)^{2} \textit{\_Z} \,{\mathrm e}^{4}+4 \ln \left(2\right)^{4}\right)}{\sum}\frac{\left({\mathrm e}^{4} \left(-2 \ln \left(2\right)^{4}+{\mathrm e}^{8}\right) \textit{\_R}^{2}+4 \,{\mathrm e}^{8} \textit{\_R} \ln \left(2\right)^{2}+4 \,{\mathrm e}^{4} \ln \left(2\right)^{4}\right) \ln \left(x -\textit{\_R} \right)}{2 \textit{\_R}^{3} \ln \left(2\right)^{4}+3 \,{\mathrm e}^{4} \ln \left(2\right)^{2} \textit{\_R}^{2}+4 \textit{\_R} \ln \left(2\right)^{4}+2 \,{\mathrm e}^{4} \ln \left(2\right)^{2}+\textit{\_R} \,{\mathrm e}^{8}}}{8 \ln \left(2\right)^{4}}$&$162$\\ \hline \end{longtable}"," ",0,"(-3*x^2-exp(4)/ln(2)^2*x^3+1/4*x^6-2*exp(4)/ln(2)^2*x-4)/(x^2+2)/(x^2*ln(2)^2+x*exp(4)+2*ln(2)^2)","B"
1726,1,15,16,0.300000," ","int(-84*x/(20*exp(2)*exp(4)+21*x^2)/ln(20*exp(2)*exp(4)+21*x^2)/ln(ln(20*exp(2)*exp(4)+21*x^2))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{\ln \left(\ln \left(20 \,{\mathrm e}^{6}+21 x^{2}\right)\right)^{2}}$&$15$\\ derivativedivides&$\frac{1}{\ln \left(\ln \left(20 \,{\mathrm e}^{2} {\mathrm e}^{4}+21 x^{2}\right)\right)^{2}}$&$17$\\ default&$\frac{1}{\ln \left(\ln \left(20 \,{\mathrm e}^{2} {\mathrm e}^{4}+21 x^{2}\right)\right)^{2}}$&$17$\\ \hline \end{longtable}"," ",0,"1/ln(ln(20*exp(6)+21*x^2))^2","A"
1727,1,243,23,0.599000," ","int((((-exp(x)*x-x)*ln(x)-6*exp(x)*x-6*x)*ln(1/4*x*ln(x)+3/2*x)+((x^2+x-1)*exp(x)+(1-x)*exp(2)+2*x^2-x)*ln(x)+(6*x^2+6*x-7)*exp(x)+(-6*x+7)*exp(2)+12*x^2-7*x)/(x*ln(x)+6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{2} x +x^{2}+2 \,{\mathrm e}^{x} \ln \left(2\right)+{\mathrm e}^{2} \ln \left(x \right)-{\mathrm e}^{x} \ln \left(x \right)+2 x \ln \left(2\right)+{\mathrm e}^{x} x -x \ln \left(x \right)+\frac{i {\mathrm e}^{x} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+6\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)+6\right)\right)}{2}+\frac{i \pi  x \mathrm{csgn}\left(i x \left(\ln \left(x \right)+6\right)\right)^{3}}{2}+\left(-{\mathrm e}^{x}-x \right) \ln \left(\ln \left(x \right)+6\right)+{\mathrm e}^{2} \ln \left(\ln \left(x \right)+6\right)-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(\ln \left(x \right)+6\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)+6\right)\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)+6\right)\right)^{2}}{2}-\frac{i {\mathrm e}^{x} \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)+6\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)+6\right)\right)^{2}}{2}+\frac{i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(i x \left(\ln \left(x \right)+6\right)\right)^{3}}{2}-\frac{i {\mathrm e}^{x} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)+6\right)\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+6\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)+6\right)\right)}{2}$&$243$\\ \hline \end{longtable}"," ",0,"-exp(2)*x+x^2+2*exp(x)*ln(2)+exp(2)*ln(x)-exp(x)*ln(x)+2*x*ln(2)+exp(x)*x-x*ln(x)+1/2*I*exp(x)*Pi*csgn(I*x)*csgn(I*(ln(x)+6))*csgn(I*x*(ln(x)+6))+1/2*I*Pi*x*csgn(I*x*(ln(x)+6))^3+(-exp(x)-x)*ln(ln(x)+6)+exp(2)*ln(ln(x)+6)-1/2*I*Pi*x*csgn(I*(ln(x)+6))*csgn(I*x*(ln(x)+6))^2-1/2*I*Pi*x*csgn(I*x)*csgn(I*x*(ln(x)+6))^2-1/2*I*exp(x)*Pi*csgn(I*(ln(x)+6))*csgn(I*x*(ln(x)+6))^2+1/2*I*exp(x)*Pi*csgn(I*x*(ln(x)+6))^3-1/2*I*exp(x)*Pi*csgn(I*x)*csgn(I*x*(ln(x)+6))^2+1/2*I*Pi*x*csgn(I*x)*csgn(I*(ln(x)+6))*csgn(I*x*(ln(x)+6))","C"
1728,1,26,27,0.050000," ","int(1/4*((-8*x^3+5*x^2-2)*exp(1/4*(-4*x^3+5*x^2+2)/x)+32*x^3+4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2}+x +{\mathrm e}^{-\frac{4 x^{3}-5 x^{2}-2}{4 x}}$&$26$\\ norman&$\frac{x^{2}+x \,{\mathrm e}^{\frac{-4 x^{3}+5 x^{2}+2}{4 x}}+4 x^{3}}{x}$&$34$\\ \hline \end{longtable}"," ",0,"4*x^2+x+exp(-1/4*(4*x^3-5*x^2-2)/x)","A"
1729,1,1157,31,0.313000," ","int((-30*x^2*ln(x/exp(x))^2+(20*x^3-20*x^2-320*x)*ln(x/exp(x))+160*x^2-160*x-602)*exp(-5*x^3*ln(x/exp(x))^2-80*x^2*ln(x/exp(x))-301*x)^2+(30*x^3*ln(x/exp(x))^2+(-20*x^4+20*x^3+320*x^2)*ln(x/exp(x))-160*x^3+160*x^2+602*x-2)*exp(-5*x^3*ln(x/exp(x))^2-80*x^2*ln(x/exp(x))-301*x)+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{x}\right)^{-10 i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) x^{3}} x^{10 i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) x^{3}} \left({\mathrm e}^{x}\right)^{10 i \pi  \,\mathrm{csgn}\left(i x \right) x^{3}} \left({\mathrm e}^{x}\right)^{10 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) x^{3}} x^{-10 i \pi  \,\mathrm{csgn}\left(i x \right) x^{3}} x^{-10 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) x^{3}} \left({\mathrm e}^{x}\right)^{20 x^{3} \ln \left(x \right)} \left({\mathrm e}^{x}\right)^{-10 i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right) x^{3}} x^{10 i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right) x^{3}} \left({\mathrm e}^{x}\right)^{160 x^{2}} x^{-160 x^{2}} {\mathrm e}^{-\frac{x \left(-5 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}+10 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)-5 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \right)^{2}+10 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{5} \mathrm{csgn}\left(i x \right)-20 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{4} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right)+10 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \right)-5 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{6}+10 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{5} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)-5 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{4} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)^{2}-160 i x \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}-160 i x \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right)+160 i x \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \right)+160 i x \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)+20 x^{2} \ln \left(x \right)^{2}+20 x^{2} \ln \left({\mathrm e}^{x}\right)^{2}+1204\right)}{2}}-2 x \,x^{-80 x^{2}} \left({\mathrm e}^{x}\right)^{80 x^{2}} x^{5 i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right) x^{3}} \left({\mathrm e}^{x}\right)^{-5 i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right) x^{3}} \left({\mathrm e}^{x}\right)^{10 x^{3} \ln \left(x \right)} x^{-5 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) x^{3}} x^{-5 i \pi  \,\mathrm{csgn}\left(i x \right) x^{3}} \left({\mathrm e}^{x}\right)^{5 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) x^{3}} \left({\mathrm e}^{x}\right)^{5 i \pi  \,\mathrm{csgn}\left(i x \right) x^{3}} x^{5 i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) x^{3}} \left({\mathrm e}^{x}\right)^{-5 i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) x^{3}} {\mathrm e}^{-\frac{x \left(-5 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}+10 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)-5 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \right)^{2}+10 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{5} \mathrm{csgn}\left(i x \right)-20 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{4} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right)+10 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \right)-5 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{6}+10 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{5} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)-5 x^{2} \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{4} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)^{2}-160 i x \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}-160 i x \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right)+160 i x \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \right)+160 i x \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)+20 x^{2} \ln \left(x \right)^{2}+20 x^{2} \ln \left({\mathrm e}^{x}\right)^{2}+1204\right)}{4}}+x^{2}$&$1157$\\ \hline \end{longtable}"," ",0,"(exp(x)^(-5*I*Pi*csgn(I*x*exp(-x))*x^3))^2*(x^(5*I*Pi*csgn(I*x*exp(-x))*x^3))^2*(exp(x)^(5*I*Pi*csgn(I*x)*x^3))^2*(exp(x)^(5*I*Pi*csgn(I*exp(-x))*x^3))^2*(x^(-5*I*Pi*csgn(I*x)*x^3))^2*(x^(-5*I*Pi*csgn(I*exp(-x))*x^3))^2*(exp(x)^(10*x^3*ln(x)))^2*(exp(x)^(-5*I*Pi*csgn(I*x*exp(-x))*csgn(I*exp(-x))*csgn(I*x)*x^3))^2*(x^(5*I*Pi*csgn(I*x*exp(-x))*csgn(I*exp(-x))*csgn(I*x)*x^3))^2*(exp(x)^(80*x^2))^2*(x^(-80*x^2))^2*exp(-1/2*x*(-5*x^2*Pi^2*csgn(I*x*exp(-x))^4*csgn(I*x)^2+10*x^2*Pi^2*csgn(I*x*exp(-x))^3*csgn(I*x)^2*csgn(I*exp(-x))-5*x^2*Pi^2*csgn(I*x*exp(-x))^2*csgn(I*exp(-x))^2*csgn(I*x)^2+10*x^2*Pi^2*csgn(I*x*exp(-x))^5*csgn(I*x)-20*x^2*Pi^2*csgn(I*x*exp(-x))^4*csgn(I*exp(-x))*csgn(I*x)+10*x^2*Pi^2*csgn(I*x*exp(-x))^3*csgn(I*exp(-x))^2*csgn(I*x)-5*x^2*Pi^2*csgn(I*x*exp(-x))^6+10*x^2*Pi^2*csgn(I*x*exp(-x))^5*csgn(I*exp(-x))-5*x^2*Pi^2*csgn(I*x*exp(-x))^4*csgn(I*exp(-x))^2-160*I*x*Pi*csgn(I*x*exp(-x))^3-160*I*x*Pi*csgn(I*x*exp(-x))*csgn(I*exp(-x))*csgn(I*x)+160*I*x*Pi*csgn(I*x*exp(-x))^2*csgn(I*x)+160*I*x*Pi*csgn(I*x*exp(-x))^2*csgn(I*exp(-x))+20*x^2*ln(x)^2+20*x^2*ln(exp(x))^2+1204))-2*x*x^(-80*x^2)*exp(x)^(80*x^2)*x^(5*I*Pi*csgn(I*x*exp(-x))*csgn(I*exp(-x))*csgn(I*x)*x^3)*exp(x)^(-5*I*Pi*csgn(I*x*exp(-x))*csgn(I*exp(-x))*csgn(I*x)*x^3)*exp(x)^(10*x^3*ln(x))*x^(-5*I*Pi*csgn(I*exp(-x))*x^3)*x^(-5*I*Pi*csgn(I*x)*x^3)*exp(x)^(5*I*Pi*csgn(I*exp(-x))*x^3)*exp(x)^(5*I*Pi*csgn(I*x)*x^3)*x^(5*I*Pi*csgn(I*x*exp(-x))*x^3)*exp(x)^(-5*I*Pi*csgn(I*x*exp(-x))*x^3)*exp(-1/4*x*(-5*x^2*Pi^2*csgn(I*x*exp(-x))^4*csgn(I*x)^2+10*x^2*Pi^2*csgn(I*x*exp(-x))^3*csgn(I*x)^2*csgn(I*exp(-x))-5*x^2*Pi^2*csgn(I*x*exp(-x))^2*csgn(I*exp(-x))^2*csgn(I*x)^2+10*x^2*Pi^2*csgn(I*x*exp(-x))^5*csgn(I*x)-20*x^2*Pi^2*csgn(I*x*exp(-x))^4*csgn(I*exp(-x))*csgn(I*x)+10*x^2*Pi^2*csgn(I*x*exp(-x))^3*csgn(I*exp(-x))^2*csgn(I*x)-5*x^2*Pi^2*csgn(I*x*exp(-x))^6+10*x^2*Pi^2*csgn(I*x*exp(-x))^5*csgn(I*exp(-x))-5*x^2*Pi^2*csgn(I*x*exp(-x))^4*csgn(I*exp(-x))^2-160*I*x*Pi*csgn(I*x*exp(-x))^3-160*I*x*Pi*csgn(I*x*exp(-x))*csgn(I*exp(-x))*csgn(I*x)+160*I*x*Pi*csgn(I*x*exp(-x))^2*csgn(I*x)+160*I*x*Pi*csgn(I*x*exp(-x))^2*csgn(I*exp(-x))+20*x^2*ln(x)^2+20*x^2*ln(exp(x))^2+1204))+x^2","C"
1730,1,41,29,0.298000," ","int(((((-x^3-2*x^2)*exp(1)-x^4-2*x^3)*exp(x-5)*ln(x)+((x+exp(1))*exp(1-x)-x^2*exp(1)-x^3)*exp(x-5))*ln(x+exp(1))+(-x*exp(1-x)+x^3)*exp(x-5)*ln(x)+3*x)/(x*exp(1)+x^2)/ln(x+exp(1))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left({\mathrm e}^{-4} x^{2} \ln \left(x \right)-\ln \left(x \right) {\mathrm e}^{-3-x}+3 \,{\mathrm e}^{1-x}\right) {\mathrm e}^{x -1}}{\ln \left(x +{\mathrm e}\right)}$&$41$\\ \hline \end{longtable}"," ",0,"-(exp(-4)*x^2*ln(x)-ln(x)*exp(-3-x)+3*exp(1-x))*exp(x-1)/ln(x+exp(1))","A"
1731,1,55,31,0.261000," ","int(((-6*x^5-52*x^4-102*x^3-36*x^2)*exp((3*x+12)/(3+x))^4*ln(x)^2+(-8*x^5-64*x^4-168*x^3-144*x^2)*exp((3*x+12)/(3+x))^4*ln(x)+(10*x^3+60*x^2+90*x)*exp((3*x+12)/(3+x))^5+(-10*x^6-84*x^5-186*x^4-108*x^3)*exp((3*x+12)/(3+x))^4)/((x^12+16*x^11+109*x^10+410*x^9+920*x^8+1232*x^7+912*x^6+288*x^5)*ln(x)^10+((25*x^10+350*x^9+2025*x^8+6200*x^7+10600*x^6+9600*x^5+3600*x^4)*exp((3*x+12)/(3+x))+5*x^13+80*x^12+545*x^11+2050*x^10+4600*x^9+6160*x^8+4560*x^7+1440*x^6)*ln(x)^8+((250*x^8+3000*x^7+14250*x^6+33500*x^5+39000*x^4+18000*x^3)*exp((3*x+12)/(3+x))^2+(100*x^11+1400*x^10+8100*x^9+24800*x^8+42400*x^7+38400*x^6+14400*x^5)*exp((3*x+12)/(3+x))+10*x^14+160*x^13+1090*x^12+4100*x^11+9200*x^10+12320*x^9+9120*x^8+2880*x^7)*ln(x)^6+((1250*x^6+12500*x^5+46250*x^4+75000*x^3+45000*x^2)*exp((3*x+12)/(3+x))^3+(750*x^9+9000*x^8+42750*x^7+100500*x^6+117000*x^5+54000*x^4)*exp((3*x+12)/(3+x))^2+(150*x^12+2100*x^11+12150*x^10+37200*x^9+63600*x^8+57600*x^7+21600*x^6)*exp((3*x+12)/(3+x))+10*x^15+160*x^14+1090*x^13+4100*x^12+9200*x^11+12320*x^10+9120*x^9+2880*x^8)*ln(x)^4+((3125*x^4+25000*x^3+65625*x^2+56250*x)*exp((3*x+12)/(3+x))^4+(2500*x^7+25000*x^6+92500*x^5+150000*x^4+90000*x^3)*exp((3*x+12)/(3+x))^3+(750*x^10+9000*x^9+42750*x^8+100500*x^7+117000*x^6+54000*x^5)*exp((3*x+12)/(3+x))^2+(100*x^13+1400*x^12+8100*x^11+24800*x^10+42400*x^9+38400*x^8+14400*x^7)*exp((3*x+12)/(3+x))+5*x^16+80*x^15+545*x^14+2050*x^13+4600*x^12+6160*x^11+4560*x^10+1440*x^9)*ln(x)^2+(3125*x^2+18750*x+28125)*exp((3*x+12)/(3+x))^5+(3125*x^5+25000*x^4+65625*x^3+56250*x^2)*exp((3*x+12)/(3+x))^4+(1250*x^8+12500*x^7+46250*x^6+75000*x^5+45000*x^4)*exp((3*x+12)/(3+x))^3+(250*x^11+3000*x^10+14250*x^9+33500*x^8+39000*x^7+18000*x^6)*exp((3*x+12)/(3+x))^2+(25*x^14+350*x^13+2025*x^12+6200*x^11+10600*x^10+9600*x^9+3600*x^8)*exp((3*x+12)/(3+x))+x^17+16*x^16+109*x^15+410*x^14+920*x^13+1232*x^12+912*x^11+288*x^10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{\frac{12 x +48}{3+x}}}{\left(x^{2} \ln \left(x \right)^{2}+x^{3}+2 x \ln \left(x \right)^{2}+2 x^{2}+5 \,{\mathrm e}^{\frac{3 x +12}{3+x}}\right)^{4}}$&$55$\\ \hline \end{longtable}"," ",0,"x^2*exp(12*(4+x)/(3+x))/(x^2*ln(x)^2+2*x*ln(x)^2+x^3+2*x^2+5*exp(3*(4+x)/(3+x)))^4","A"
1732,1,19,20,0.063000," ","int((ln(3/ln(5))+3*x^2-2*x-3)/(x*ln(3/ln(5))+x^3-x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \left(x^{2}+\ln \left(\frac{3}{\ln \left(5\right)}\right)-x -3\right)\right)$&$19$\\ norman&$\ln \left(x \right)+\ln \left(x^{2}+\ln \left(\frac{3}{\ln \left(5\right)}\right)-x -3\right)$&$20$\\ risch&$\ln \left(x^{3}-x^{2}+\left(\ln \left(3\right)-\ln \left(\ln \left(5\right)\right)-3\right) x \right)$&$22$\\ derivativedivides&$\ln \left(x \ln \left(\frac{3}{\ln \left(5\right)}\right)+x^{3}-x^{2}-3 x \right)$&$23$\\ \hline \end{longtable}"," ",0,"ln(x*(x^2+ln(3/ln(5))-x-3))","A"
1733,1,48,21,0.121000," ","int(((10*x-50)*exp(1/5*x)^2+(-10*x^4-30*x^3+5*x^2-25*x)*exp(1/5*x)+100*x^6-300*x^5+150*x^4+50*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x^{4}-100 x^{3}+75 x^{2}+50 x +\frac{25 \,{\mathrm e}^{\frac{2 x}{5}}}{x^{2}}-\frac{25 \left(2 x^{2}-4 x -1\right) {\mathrm e}^{\frac{x}{5}}}{x}$&$48$\\ derivativedivides&$25 x^{4}-100 x^{3}+75 x^{2}+50 x +\frac{25 \,{\mathrm e}^{\frac{2 x}{5}}}{x^{2}}+\frac{25 \,{\mathrm e}^{\frac{x}{5}}}{x}-50 x \,{\mathrm e}^{\frac{x}{5}}+100 \,{\mathrm e}^{\frac{x}{5}}$&$53$\\ default&$25 x^{4}-100 x^{3}+75 x^{2}+50 x +\frac{25 \,{\mathrm e}^{\frac{2 x}{5}}}{x^{2}}+\frac{25 \,{\mathrm e}^{\frac{x}{5}}}{x}-50 x \,{\mathrm e}^{\frac{x}{5}}+100 \,{\mathrm e}^{\frac{x}{5}}$&$53$\\ norman&$\frac{50 x^{3}+75 x^{4}-100 x^{5}+25 x^{6}+25 \,{\mathrm e}^{\frac{2 x}{5}}+25 x \,{\mathrm e}^{\frac{x}{5}}+100 \,{\mathrm e}^{\frac{x}{5}} x^{2}-50 \,{\mathrm e}^{\frac{x}{5}} x^{3}}{x^{2}}$&$59$\\ \hline \end{longtable}"," ",0,"25*x^4-100*x^3+75*x^2+50*x+25/x^2*exp(2/5*x)-25*(2*x^2-4*x-1)/x*exp(1/5*x)","B"
1734,1,14,13,0.023000," ","int((9*exp(2+x)*exp(exp(2+x))+36)/(exp(exp(2+x))+4*x-24),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$9 \ln \left({\mathrm e}^{{\mathrm e}^{2+x}}+4 x -24\right)$&$14$\\ norman&$9 \ln \left({\mathrm e}^{{\mathrm e}^{2+x}}+4 x -24\right)$&$14$\\ risch&$9 \ln \left({\mathrm e}^{{\mathrm e}^{2+x}}+4 x -24\right)$&$14$\\ \hline \end{longtable}"," ",0,"9*ln(exp(exp(2+x))+4*x-24)","A"
1735,1,12,13,0.058000," ","int((6*x*ln(5)*exp(x)*ln(x)+6*exp(x)*ln(5))/(6*x*ln(5)*exp(x)*ln(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(6 \ln \left(5\right) {\mathrm e}^{x} \ln \left(x \right)+1\right)$&$12$\\ risch&$x +\ln \left(\ln \left(x \right)+\frac{{\mathrm e}^{-x}}{6 \ln \left(5\right)}\right)$&$17$\\ \hline \end{longtable}"," ",0,"ln(6*ln(5)*exp(x)*ln(x)+1)","A"
1736,1,50,27,0.360000," ","int(((5*x^5+194*x^4+1955*x^3+3174*x^2)*exp(ln((2+x)/x)+x)^2+(-2*x^6-40*x^5+116*x^4+460*x^3)*exp(ln((2+x)/x)+x)-2*x^6+x^5+14*x^4)/(2+x)/exp(ln((2+x)/x)+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{5}+46 x^{4}+529 x^{3}+\frac{\left(2 x^{5}+46 x^{4}\right) x \,{\mathrm e}^{-x}}{2+x}+\frac{x^{7} {\mathrm e}^{-2 x}}{\left(2+x \right)^{2}}$&$50$\\ default&$x^{5}+46 x^{4}+529 x^{3}+168 x^{2} {\mathrm e}^{-x}-336 x \,{\mathrm e}^{-x}+672 \,{\mathrm e}^{-x}+\frac{1344 \,{\mathrm e}^{-x}}{-x -2}-84 \,{\mathrm e}^{-x} x^{3}+42 \,{\mathrm e}^{-x} x^{4}+2 \,{\mathrm e}^{-x} x^{5}-4 \,{\mathrm e}^{-2 x} x^{4}+12 \,{\mathrm e}^{-2 x} x^{3}-32 x^{2} {\mathrm e}^{-2 x}+80 \,{\mathrm e}^{-2 x} x -192 \,{\mathrm e}^{-2 x}-\frac{896 \,{\mathrm e}^{-2 x}}{-2 x -4}-\frac{512 \,{\mathrm e}^{-2 x}}{\left(-2 x -4\right)^{2}}+{\mathrm e}^{-2 x} x^{5}$&$151$\\ \hline \end{longtable}"," ",0,"x^5+46*x^4+529*x^3+(2*x^5+46*x^4)*x/(2+x)*exp(-x)+x^7/(2+x)^2*exp(-2*x)","A"
1737,1,12,8,0.015000," ","int(3/(3*exp(2)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 x}{3 \,{\mathrm e}^{2}-1}$&$12$\\ norman&$\frac{3 x}{3 \,{\mathrm e}^{2}-1}$&$12$\\ risch&$\frac{3 x}{3 \,{\mathrm e}^{2}-1}$&$12$\\ \hline \end{longtable}"," ",0,"3/(3*exp(2)-1)*x","A"
1738,1,18,21,0.333000," ","int(((2*x^2-8*x+4)*exp(x)^2-2*x^3+9*x^2-12*x+4)/(x^2-4*x+4)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{x -2}+2 x +{\mathrm e}^{-2 x} x$&$18$\\ default&$\frac{4}{x -2}+2 x -\frac{9 \,{\mathrm e}^{-2 x}}{2}+\frac{\left(2 x +9\right) {\mathrm e}^{-2 x}}{2}$&$29$\\ norman&$\frac{\left(x^{2}-4 \,{\mathrm e}^{2 x}-2 x +2 \,{\mathrm e}^{2 x} x^{2}\right) {\mathrm e}^{-2 x}}{x -2}$&$33$\\ \hline \end{longtable}"," ",0,"4/(x-2)+2*x+exp(-2*x)*x","A"
1739,1,27,22,0.308000," ","int(((2*x^2-2)*ln(-x/(6*x-6))+2*x^2-6*x+1)/(x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}+2 x \right) \ln \left(-\frac{x}{6 x -6}\right)+x^{2}-3 x$&$27$\\ norman&$x^{2}+x^{2} \ln \left(-\frac{x}{6 x -6}\right)-3 x +2 x \ln \left(-\frac{x}{6 x -6}\right)$&$37$\\ derivativedivides&$-x +1+\left(x -1\right)^{2}-24 \ln \left(-\frac{1}{6}-\frac{1}{6 \left(x -1\right)}\right) \left(-\frac{1}{6}-\frac{1}{6 \left(x -1\right)}\right) \left(x -1\right)-12 \ln \left(-\frac{1}{6}-\frac{1}{6 \left(x -1\right)}\right) \left(-\frac{1}{6}-\frac{1}{6 \left(x -1\right)}\right) \left(-\frac{1}{2 \left(x -1\right)}+\frac{1}{2}\right) \left(x -1\right)^{2}$&$70$\\ default&$-x +1+\left(x -1\right)^{2}-24 \ln \left(-\frac{1}{6}-\frac{1}{6 \left(x -1\right)}\right) \left(-\frac{1}{6}-\frac{1}{6 \left(x -1\right)}\right) \left(x -1\right)-12 \ln \left(-\frac{1}{6}-\frac{1}{6 \left(x -1\right)}\right) \left(-\frac{1}{6}-\frac{1}{6 \left(x -1\right)}\right) \left(-\frac{1}{2 \left(x -1\right)}+\frac{1}{2}\right) \left(x -1\right)^{2}$&$70$\\ \hline \end{longtable}"," ",0,"(x^2+2*x)*ln(-x/(6*x-6))+x^2-3*x","A"
1740,1,155,21,0.113000," ","int((128*x-128)*ln(5)^2*exp(x)/(x*ln(5)^2*exp(x)+x^2)/ln(x*ln(5)^2/(9*ln(5)^2*exp(x)+9*x))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{256}{\left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(5\right)^{2} {\mathrm e}^{x}+x}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(5\right)^{2} {\mathrm e}^{x}+x}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(5\right)^{2} {\mathrm e}^{x}+x}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(5\right)^{2} {\mathrm e}^{x}+x}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(5\right)^{2} {\mathrm e}^{x}+x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(5\right)^{2} {\mathrm e}^{x}+x}\right)^{3}-4 i \ln \left(3\right)+4 i \ln \left(\ln \left(5\right)\right)+2 i \ln \left(x \right)-2 i \ln \left(\ln \left(5\right)^{2} {\mathrm e}^{x}+x \right)\right)^{2}}$&$155$\\ \hline \end{longtable}"," ",0,"-256/(Pi*csgn(I*x)*csgn(I/(ln(5)^2*exp(x)+x))*csgn(I*x/(ln(5)^2*exp(x)+x))-Pi*csgn(I*x)*csgn(I*x/(ln(5)^2*exp(x)+x))^2-Pi*csgn(I/(ln(5)^2*exp(x)+x))*csgn(I*x/(ln(5)^2*exp(x)+x))^2+Pi*csgn(I*x/(ln(5)^2*exp(x)+x))^3-4*I*ln(3)+4*I*ln(ln(5))+2*I*ln(x)-2*I*ln(ln(5)^2*exp(x)+x))^2","C"
1741,1,80,27,0.073000," ","int(((-4*ln(x^2/ln(5)^2)+x^2+8)*ln(x)-4*ln(x^2/ln(5)^2)-x^2)/x^2/exp(5)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 \,{\mathrm e}^{-5}}{x}-\frac{{\mathrm e}^{-5} \left(2 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}-4 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-x^{2}+8 \ln \left(\ln \left(5\right)\right)\right)}{x \ln \left(x \right)}$&$80$\\ \hline \end{longtable}"," ",0,"8/x*exp(-5)-exp(-5)/x*(2*I*Pi*csgn(I*x)^2*csgn(I*x^2)-4*I*Pi*csgn(I*x)*csgn(I*x^2)^2+2*I*Pi*csgn(I*x^2)^3-x^2+8*ln(ln(5)))/ln(x)","C"
1742,1,14,13,0.036000," ","int(1/6*(2*x-5)*exp(1/16*x^2-5/16*x)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 \,{\mathrm e}^{\frac{1}{16} x^{2}-\frac{5}{16} x -1}}{3}$&$14$\\ gosper&$\frac{8 \,{\mathrm e}^{\frac{1}{16} x^{2}-\frac{5}{16} x} {\mathrm e}^{-1}}{3}$&$17$\\ default&$\frac{8 \,{\mathrm e}^{\frac{1}{16} x^{2}-\frac{5}{16} x} {\mathrm e}^{-1}}{3}$&$17$\\ norman&$\frac{8 \,{\mathrm e}^{\frac{1}{16} x^{2}-\frac{5}{16} x} {\mathrm e}^{-1}}{3}$&$17$\\ \hline \end{longtable}"," ",0,"8/3*exp(1/16*x^2-5/16*x-1)","A"
1743,1,19,23,0.051000," ","int((2*(6*x+6)*ln(2)-10*x-28)*exp(ln(5)^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(12 x \ln \left(2\right)-10 x -18\right) {\mathrm e}^{\ln \left(5\right)^{2}+x}$&$19$\\ gosper&$2 \,{\mathrm e}^{\ln \left(5\right)^{2}+x} \left(6 x \ln \left(2\right)-5 x -9\right)$&$20$\\ norman&$\left(12 \ln \left(2\right)-10\right) x \,{\mathrm e}^{\ln \left(5\right)^{2}+x}-18 \,{\mathrm e}^{\ln \left(5\right)^{2}+x}$&$26$\\ meijerg&$\left(12 \ln \left(2\right)-10\right) {\mathrm e}^{\ln \left(5\right)^{2}} \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)-12 \ln \left(2\right) {\mathrm e}^{\ln \left(5\right)^{2}} \left(1-{\mathrm e}^{x}\right)+28 \,{\mathrm e}^{\ln \left(5\right)^{2}} \left(1-{\mathrm e}^{x}\right)$&$53$\\ derivativedivides&$-10 \,{\mathrm e}^{\ln \left(5\right)^{2}+x} \left(\ln \left(5\right)^{2}+x \right)-18 \,{\mathrm e}^{\ln \left(5\right)^{2}+x}+10 \,{\mathrm e}^{\ln \left(5\right)^{2}+x} \ln \left(5\right)^{2}+12 \,{\mathrm e}^{\ln \left(5\right)^{2}+x} \ln \left(2\right) \left(\ln \left(5\right)^{2}+x \right)-12 \,{\mathrm e}^{\ln \left(5\right)^{2}+x} \ln \left(2\right) \ln \left(5\right)^{2}$&$71$\\ default&$-10 \,{\mathrm e}^{\ln \left(5\right)^{2}+x} \left(\ln \left(5\right)^{2}+x \right)-18 \,{\mathrm e}^{\ln \left(5\right)^{2}+x}+10 \,{\mathrm e}^{\ln \left(5\right)^{2}+x} \ln \left(5\right)^{2}+12 \,{\mathrm e}^{\ln \left(5\right)^{2}+x} \ln \left(2\right) \left(\ln \left(5\right)^{2}+x \right)-12 \,{\mathrm e}^{\ln \left(5\right)^{2}+x} \ln \left(2\right) \ln \left(5\right)^{2}$&$71$\\ \hline \end{longtable}"," ",0,"(12*x*ln(2)-10*x-18)*exp(ln(5)^2+x)","A"
1744,1,17,16,0.023000," ","int(1/7*(-4*x^3+10*x+1)*exp(-x^4+5*x^2+x-25/4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{-x^{4}+5 x^{2}+x -\frac{25}{4}}}{7}$&$17$\\ derivativedivides&$\frac{{\mathrm e}^{-x^{4}+5 x^{2}+x -\frac{25}{4}}}{7}$&$17$\\ default&$\frac{{\mathrm e}^{-x^{4}+5 x^{2}+x -\frac{25}{4}}}{7}$&$17$\\ norman&$\frac{{\mathrm e}^{-x^{4}+5 x^{2}+x -\frac{25}{4}}}{7}$&$17$\\ risch&$\frac{{\mathrm e}^{-x^{4}+5 x^{2}+x -\frac{25}{4}}}{7}$&$17$\\ \hline \end{longtable}"," ",0,"1/7*exp(-x^4+5*x^2+x-25/4)","A"
1745,1,15,15,0.052000," ","int(1/2*(2*x*ln(4*ln(5)^2)-3)/x/ln(4*ln(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\frac{3 \ln \left(x \right)}{4 \left(\ln \left(2\right)+\ln \left(\ln \left(5\right)\right)\right)}$&$15$\\ default&$\frac{2 x \ln \left(4 \ln \left(5\right)^{2}\right)-3 \ln \left(x \right)}{2 \ln \left(4 \ln \left(5\right)^{2}\right)}$&$27$\\ risch&$\frac{2 x \ln \left(2\right)}{2 \ln \left(2\right)+2 \ln \left(\ln \left(5\right)\right)}+\frac{2 x \ln \left(\ln \left(5\right)\right)}{2 \ln \left(2\right)+2 \ln \left(\ln \left(5\right)\right)}-\frac{3 \ln \left(x \right)}{2 \left(2 \ln \left(2\right)+2 \ln \left(\ln \left(5\right)\right)\right)}$&$53$\\ \hline \end{longtable}"," ",0,"x-3/4/(ln(2)+ln(ln(5)))*ln(x)","A"
1746,1,20,20,0.010000," ","int(2*ln(x)-24/25*x^2-16/5*x+7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x -\frac{8 x^{2}}{5}-\frac{8 x^{3}}{25}+2 x \ln \left(x \right)$&$20$\\ norman&$5 x -\frac{8 x^{2}}{5}-\frac{8 x^{3}}{25}+2 x \ln \left(x \right)$&$20$\\ risch&$5 x -\frac{8 x^{2}}{5}-\frac{8 x^{3}}{25}+2 x \ln \left(x \right)$&$20$\\ \hline \end{longtable}"," ",0,"5*x-8/5*x^2-8/25*x^3+2*x*ln(x)","A"
1747,1,22,19,0.046000," ","int(((x^2*exp(5)-x^2)*exp(16)+2*exp(2))/x^2/exp(16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left({\mathrm e}^{5}-1\right) x^{2}-2 \,{\mathrm e}^{-16} {\mathrm e}^{2}}{x}$&$22$\\ risch&${\mathrm e}^{-16} x \,{\mathrm e}^{21}-{\mathrm e}^{-16} x \,{\mathrm e}^{16}-\frac{2 \,{\mathrm e}^{-14}}{x}$&$22$\\ default&${\mathrm e}^{-16} \left(x \,{\mathrm e}^{21}-x \,{\mathrm e}^{16}-\frac{2 \,{\mathrm e}^{2}}{x}\right)$&$23$\\ gosper&$\frac{\left({\mathrm e}^{5} {\mathrm e}^{16} x^{2}-x^{2} {\mathrm e}^{16}-2 \,{\mathrm e}^{2}\right) {\mathrm e}^{-16}}{x}$&$29$\\ \hline \end{longtable}"," ",0,"((exp(5)-1)*x^2-2/exp(16)*exp(2))/x","A"
1748,1,3,2,0.011000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
1749,1,12,11,0.025000," ","int(1/32*(-5*x*ln(x)*ln(ln(x))^2-16)/x/ln(x)/ln(ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{5 x}{32}+\frac{1}{2 \ln \left(\ln \left(x \right)\right)}$&$12$\\ risch&$-\frac{5 x}{32}+\frac{1}{2 \ln \left(\ln \left(x \right)\right)}$&$12$\\ norman&$\frac{\frac{1}{2}-\frac{5 x \ln \left(\ln \left(x \right)\right)}{32}}{\ln \left(\ln \left(x \right)\right)}$&$15$\\ \hline \end{longtable}"," ",0,"-5/32*x+1/2/ln(ln(x))","A"
1750,1,26,22,0.079000," ","int(((48*x^3-64*x^2+240*x-320)*ln(5)+9*x^7-90*x^6+261*x^5-252*x^4+1008*x^3-2880*x^2)/(9*x^7-108*x^6+477*x^5-1116*x^4+2160*x^3-2880*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{16 \ln \left(5\right)}{9 x \left(x^{2}-8 x +16\right)}+\ln \left(x^{2}+5\right)$&$26$\\ norman&$\frac{x^{4}-48 x^{2}+128 x -\frac{16 \ln \left(5\right)}{9}}{x \left(x -4\right)^{2}}+\ln \left(x^{2}+5\right)$&$33$\\ default&$x +\ln \left(x^{2}+5\right)-\frac{4 \ln \left(5\right)}{9 \left(x -4\right)^{2}}+\frac{\ln \left(5\right)}{9 x -36}-\frac{\ln \left(5\right)}{9 x}$&$34$\\ \hline \end{longtable}"," ",0,"x-16/9*ln(5)/x/(x^2-8*x+16)+ln(x^2+5)","A"
1751,1,41,28,0.085000," ","int(((x^8*exp((-x^9+625)/x^8)^2-2*x^9*exp((-x^9+625)/x^8)+x^10+x^9)*ln(exp((-x^9+625)/x^8)^2-2*x*exp((-x^9+625)/x^8)+x^2+x)+(4*x^8*exp(4)+2*x^9+10000)*exp((-x^9+625)/x^8)^2+(-8*x^9*exp(4)-2*x^10+2*x^9-10000*x)*exp((-x^9+625)/x^8)+(4*x^10+4*x^9)*exp(4)-2*x^10-x^9)/((x^8*exp((-x^9+625)/x^8)^2-2*x^9*exp((-x^9+625)/x^8)+x^10+x^9)*ln(exp((-x^9+625)/x^8)^2-2*x*exp((-x^9+625)/x^8)+x^2+x)^2+(8*x^8*exp(4)*exp((-x^9+625)/x^8)^2-16*x^9*exp(4)*exp((-x^9+625)/x^8)+(8*x^10+8*x^9)*exp(4))*ln(exp((-x^9+625)/x^8)^2-2*x*exp((-x^9+625)/x^8)+x^2+x)+16*x^8*exp(4)^2*exp((-x^9+625)/x^8)^2-32*x^9*exp(4)^2*exp((-x^9+625)/x^8)+(16*x^10+16*x^9)*exp(4)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{4 \,{\mathrm e}^{4}+\ln \left({\mathrm e}^{-\frac{2 \left(x^{9}-625\right)}{x^{8}}}-2 x \,{\mathrm e}^{-\frac{x^{9}-625}{x^{8}}}+x^{2}+x \right)}$&$41$\\ \hline \end{longtable}"," ",0,"x/(4*exp(4)+ln(exp(-2*(x^9-625)/x^8)-2*x*exp(-(x^9-625)/x^8)+x^2+x))","A"
1752,1,30,22,0.046000," ","int((x^2*ln(x^2)+18*x^2-4)/(x^3*ln(x^2)+16*x^2*ln(2)+16*x^3+16*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left(\ln \left(x^{2}\right)+\frac{16 x \ln \left(2\right)+16 x^{2}+16 x +4}{x^{2}}\right)$&$30$\\ norman&$-\frac{\ln \left(x^{2}\right)}{2}+\ln \left(x^{2} \ln \left(x^{2}\right)+16 x \ln \left(2\right)+16 x^{2}+16 x +4\right)$&$32$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(ln(x^2)+4*(4*x*ln(2)+4*x^2+4*x+1)/x^2)","A"
1753,1,22,25,0.349000," ","int(((-x^2+5*x+5)*exp(4)+2*x^2)/((x^2-5*x)*exp(4)-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\ln \left(x \,{\mathrm e}^{4}-5 \,{\mathrm e}^{4}-2 x \right)-\ln \left(x \right)$&$22$\\ norman&$-x +\ln \left(x \,{\mathrm e}^{4}-5 \,{\mathrm e}^{4}-2 x \right)-\ln \left(x \right)$&$22$\\ risch&$-x -\ln \left(x \right)+\ln \left(\left(2-{\mathrm e}^{4}\right) x +5 \,{\mathrm e}^{4}\right)$&$23$\\ meijerg&$\ln \left(1-\frac{x \left({\mathrm e}^{4}-2\right) {\mathrm e}^{-4}}{5}\right)-\ln \left(x \right)+\ln \left(5\right)-\ln \left({\mathrm e}^{4}-2\right)+4-i \pi +\frac{25 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{4}}{5}-\frac{2}{5}\right) \left(-\frac{x \left({\mathrm e}^{4}-2\right) {\mathrm e}^{-4}}{5}-\ln \left(1-\frac{x \left({\mathrm e}^{4}-2\right) {\mathrm e}^{-4}}{5}\right)\right)}{\left({\mathrm e}^{4}-2\right)^{2}}+\frac{5 \,{\mathrm e}^{4} \ln \left(1-\frac{x \left({\mathrm e}^{4}-2\right) {\mathrm e}^{-4}}{5}\right)}{{\mathrm e}^{4}-2}$&$94$\\ \hline \end{longtable}"," ",0,"-x+ln(x*exp(4)-5*exp(4)-2*x)-ln(x)","A"
1754,1,25,24,0.370000," ","int(((-2*x^3-3*x^2+2*x)*exp(-x^2+x-11)*ln(x/(2*x+4))+2*exp(-x^2+x-11))/(x^2+2*x)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{x}{2 x +4}\right) {\mathrm e}^{-2} {\mathrm e}^{-x^{2}+x -11}$&$25$\\ risch&$-\ln \left(2+x \right) {\mathrm e}^{-x^{2}+x -13}+\ln \left(x \right) {\mathrm e}^{-x^{2}+x -13}-\frac{i \mathrm{csgn}\left(\frac{i x}{2+x}\right) \mathrm{csgn}\left(\frac{i}{2+x}\right) \mathrm{csgn}\left(i x \right) \pi  \,{\mathrm e}^{-x^{2}+x -13}}{2}+\frac{i \mathrm{csgn}\left(\frac{i x}{2+x}\right)^{2} \mathrm{csgn}\left(i x \right) \pi  \,{\mathrm e}^{-x^{2}+x -13}}{2}+\frac{i \mathrm{csgn}\left(\frac{i x}{2+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{2+x}\right) \pi  \,{\mathrm e}^{-x^{2}+x -13}}{2}-\frac{i \mathrm{csgn}\left(\frac{i x}{2+x}\right)^{3} \pi  \,{\mathrm e}^{-x^{2}+x -13}}{2}-\ln \left(2\right) {\mathrm e}^{-x^{2}+x -13}$&$168$\\ \hline \end{longtable}"," ",0,"ln(x/(2*x+4))/exp(2)*exp(-x^2+x-11)","A"
1755,1,17,19,0.024000," ","int(((x-1)*exp(x)+2*x^3+3*x^2-2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2+x^{3}+3 x^{2}+{\mathrm e}^{x}}{x}$&$17$\\ default&$3 x +x^{2}+\frac{2}{x}+\frac{{\mathrm e}^{x}}{x}$&$19$\\ risch&$3 x +x^{2}+\frac{2}{x}+\frac{{\mathrm e}^{x}}{x}$&$19$\\ \hline \end{longtable}"," ",0,"(2+x^3+3*x^2+exp(x))/x","A"
1756,1,7,17,0.010000," ","int(2/5*x+2/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(2+x \right)}{5}$&$7$\\ default&$\frac{1}{5} x^{2}+\frac{2}{5} x$&$10$\\ norman&$\frac{1}{5} x^{2}+\frac{2}{5} x$&$10$\\ risch&$\frac{1}{5} x^{2}+\frac{2}{5} x$&$10$\\ \hline \end{longtable}"," ",0,"1/5*x*(2+x)","A"
1757,1,32,23,0.038000," ","int((-2*exp(4)+64*x^9-960*x^7+4800*x^5-8000*x^3+4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$8 x^{8}-160 x^{6}+1200 x^{4}-4000 x^{2}+4 x +\frac{2 \,{\mathrm e}^{4}}{x}$&$32$\\ risch&$8 x^{8}-160 x^{6}+1200 x^{4}-4000 x^{2}+4 x +\frac{2 \,{\mathrm e}^{4}}{x}$&$32$\\ gosper&$\frac{4 x^{2}-4000 x^{3}+1200 x^{5}-160 x^{7}+8 x^{9}+2 \,{\mathrm e}^{4}}{x}$&$34$\\ norman&$\frac{4 x^{2}-4000 x^{3}+1200 x^{5}-160 x^{7}+8 x^{9}+2 \,{\mathrm e}^{4}}{x}$&$35$\\ \hline \end{longtable}"," ",0,"8*x^8-160*x^6+1200*x^4-4000*x^2+4*x+2*exp(4)/x","A"
1758,1,18,20,0.080000," ","int(1/3*((15*exp(x)-5)*exp(exp(x))-3*exp(1/3*x-2)*exp(x-7))/exp(1/3*x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x -7}+5 \,{\mathrm e}^{-\frac{x}{3}+2+{\mathrm e}^{x}}$&$18$\\ norman&$\left(5 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{x}}-{\mathrm e}^{-7} {\mathrm e}^{\frac{4 x}{3}}\right) {\mathrm e}^{-\frac{x}{3}}$&$32$\\ \hline \end{longtable}"," ",0,"-exp(x-7)+5*exp(-1/3*x+2+exp(x))","A"
1759,1,11,13,0.037000," ","int(-exp(-ln(x)+5*ln(2)+exp(1)-3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{32 \,{\mathrm e}^{{\mathrm e}} {\mathrm e}^{-3}}{x}$&$11$\\ risch&$\frac{32 \,{\mathrm e}^{{\mathrm e}-3}}{x}$&$11$\\ gosper&${\mathrm e}^{-\ln \left(x \right)+5 \ln \left(2\right)+{\mathrm e}-3}$&$14$\\ derivativedivides&${\mathrm e}^{-\ln \left(x \right)+5 \ln \left(2\right)+{\mathrm e}-3}$&$14$\\ default&${\mathrm e}^{-\ln \left(x \right)+5 \ln \left(2\right)+{\mathrm e}-3}$&$14$\\ \hline \end{longtable}"," ",0,"32*exp(exp(1))*exp(-3)/x","A"
1760,1,16,16,0.019000," ","int(1/5*((12*x^2-48*x+36)*ln(x)-4*x^2+24*x-36)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x \left(x^{2}-6 x +9\right)}{5 \ln \left(x \right)}$&$16$\\ norman&$\frac{\frac{36}{5} x -\frac{24}{5} x^{2}+\frac{4}{5} x^{3}}{\ln \left(x \right)}$&$20$\\ default&$\frac{4 x^{3}}{5 \ln \left(x \right)}-\frac{24 x^{2}}{5 \ln \left(x \right)}+\frac{36 x}{5 \ln \left(x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"4/5*x*(x^2-6*x+9)/ln(x)","A"
1761,1,34,19,0.206000," ","int(((-4*ln(3)-5*x-16)*ln(x)-x^5*ln(3)^2+(-2*x^6-8*x^5+1)*ln(3)-x^7-8*x^6-16*x^5+x+4)/((x*ln(3)+x^2+4*x)*ln(x)-x^6*ln(3)^2+(-2*x^7-8*x^6)*ln(3)-x^8-8*x^7-16*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-4 \ln \left(x \right)-\ln \left(\ln \left(3\right)+4+x \right)+\ln \left(x^{5} \ln \left(3\right)+x^{6}+4 x^{5}-\ln \left(x \right)\right)$&$34$\\ risch&$-4 \ln \left(x \right)-\ln \left(\ln \left(3\right)+4+x \right)+\ln \left(-x^{5} \ln \left(3\right)-x^{6}-4 x^{5}+\ln \left(x \right)\right)$&$35$\\ \hline \end{longtable}"," ",0,"-4*ln(x)-ln(ln(3)+4+x)+ln(x^5*ln(3)+x^6+4*x^5-ln(x))","A"
1762,1,27,21,0.062000," ","int(1/5*((2*x*exp(x)*ln(5)+2*(-x-1)*ln(5))*exp(exp(x)-x)+2*(2*ln(2)-3)*ln(5))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{2 \ln \left(5\right) {\mathrm e}^{{\mathrm e}^{x}-x}}{5}-\frac{4 \ln \left(2\right) \ln \left(5\right)}{5}+\frac{6 \ln \left(5\right)}{5}}{x}$&$27$\\ risch&$-\frac{4 \ln \left(2\right) \ln \left(5\right)}{5 x}+\frac{6 \ln \left(5\right)}{5 x}+\frac{2 \ln \left(5\right) {\mathrm e}^{{\mathrm e}^{x}-x}}{5 x}$&$32$\\ \hline \end{longtable}"," ",0,"(2/5*ln(5)*exp(exp(x)-x)-4/5*ln(2)*ln(5)+6/5*ln(5))/x","A"
1763,1,200,23,0.248000," ","int(((8*exp(x)*x-2)*ln(x)*ln((8*exp(x)*x-2)/exp(x))*ln(ln((8*exp(x)*x-2)/exp(x)))^2+(((-8*exp(x)*x^2+2*x)*ln(x)^2+(-16*exp(x)*x^2+4*x)*ln(x))*ln((8*exp(x)*x-2)/exp(x))+(8*exp(x)*x+2*x)*ln(x)^2)*ln(ln((8*exp(x)*x-2)/exp(x)))+((8*exp(x)*x^3-2*x^2)*ln(x)^2+(8*exp(x)*x^3-2*x^2)*ln(x))*ln((8*exp(x)*x-2)/exp(x))+(-8*exp(x)*x^2-2*x^2)*ln(x)^2)/(4*exp(x)*x^2-x)/ln((8*exp(x)*x-2)/exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(x \right)^{2}-2 x \ln \left(x \right)^{2} \ln \left(3 \ln \left(2\right)-\ln \left({\mathrm e}^{x}\right)+\ln \left({\mathrm e}^{x} x -\frac{1}{4}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x -\frac{1}{4}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x -\frac{1}{4}\right)\right)+\mathrm{csgn}\left(i {\mathrm e}^{-x}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x -\frac{1}{4}\right)\right)+\mathrm{csgn}\left(i \left({\mathrm e}^{x} x -\frac{1}{4}\right)\right)\right)}{2}\right)+\ln \left(x \right)^{2} \ln \left(3 \ln \left(2\right)-\ln \left({\mathrm e}^{x}\right)+\ln \left({\mathrm e}^{x} x -\frac{1}{4}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x -\frac{1}{4}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x -\frac{1}{4}\right)\right)+\mathrm{csgn}\left(i {\mathrm e}^{-x}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x -\frac{1}{4}\right)\right)+\mathrm{csgn}\left(i \left({\mathrm e}^{x} x -\frac{1}{4}\right)\right)\right)}{2}\right)^{2}$&$200$\\ \hline \end{longtable}"," ",0,"x^2*ln(x)^2-2*x*ln(x)^2*ln(3*ln(2)-ln(exp(x))+ln(exp(x)*x-1/4)-1/2*I*Pi*csgn(I*exp(-x)*(exp(x)*x-1/4))*(-csgn(I*exp(-x)*(exp(x)*x-1/4))+csgn(I*exp(-x)))*(-csgn(I*exp(-x)*(exp(x)*x-1/4))+csgn(I*(exp(x)*x-1/4))))+ln(x)^2*ln(3*ln(2)-ln(exp(x))+ln(exp(x)*x-1/4)-1/2*I*Pi*csgn(I*exp(-x)*(exp(x)*x-1/4))*(-csgn(I*exp(-x)*(exp(x)*x-1/4))+csgn(I*exp(-x)))*(-csgn(I*exp(-x)*(exp(x)*x-1/4))+csgn(I*(exp(x)*x-1/4))))^2","C"
1764,1,24,21,0.062000," ","int(((x^3-4)*exp(x^2)^2+(32*x^4-32*x^3-320*x^2-128*x-192)*exp(x^2)+256*x^5-512*x^4+256*x^3-1024*x^2-5632*x+4096)/(x^3*exp(x^2)^2+(32*x^4-32*x^3)*exp(x^2)+256*x^5-512*x^4+256*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{x^{2}}+x +\frac{160}{x^{2} \left(-16+{\mathrm e}^{x^{2}}+16 x \right)}$&$24$\\ norman&$\frac{128+x^{3} {\mathrm e}^{x^{2}}-16 x^{3}+32 x +16 x^{4}+2 \,{\mathrm e}^{x^{2}}}{x^{2} \left(-16+{\mathrm e}^{x^{2}}+16 x \right)}$&$45$\\ \hline \end{longtable}"," ",0,"2/x^2+x+160/x^2/(-16+exp(x^2)+16*x)","A"
1765,1,22,21,0.072000," ","int(((-1024*x+1536)*exp(x)*exp(x^2-2*x+1)+(32*x^2+448*x-512)*exp(x))/(256*exp(x^2-2*x+1)^2+(32*x^2+512*x)*exp(x^2-2*x+1)+x^4+32*x^3+256*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{32 \,{\mathrm e}^{x}}{x^{2}+16 \,{\mathrm e}^{\left(x -1\right)^{2}}+16 x}$&$22$\\ norman&$\frac{32 \,{\mathrm e}^{x}}{x^{2}+16 \,{\mathrm e}^{x^{2}-2 x +1}+16 x}$&$25$\\ \hline \end{longtable}"," ",0,"32*exp(x)/(x^2+16*exp((x-1)^2)+16*x)","A"
1766,1,24,20,0.330000," ","int(((3-x)*exp(exp(3))*ln(x-3)+(x-1)*exp(exp(3))+7*exp(5))/(7*x-21)/ln(x-3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{x \,{\mathrm e}^{{\mathrm e}^{3}}}{7}+\frac{{\mathrm e}^{{\mathrm e}^{3}}}{7}-{\mathrm e}^{5}}{\ln \left(x -3\right)}$&$24$\\ risch&$-\frac{7 \,{\mathrm e}^{5}+x \,{\mathrm e}^{{\mathrm e}^{3}}-{\mathrm e}^{{\mathrm e}^{3}}}{7 \ln \left(x -3\right)}$&$24$\\ derivativedivides&$\frac{{\mathrm e}^{{\mathrm e}^{3}} \expIntegralEi \left(1, -\ln \left(x -3\right)\right)}{7}+\frac{{\mathrm e}^{{\mathrm e}^{3}} \left(-\frac{x -3}{\ln \left(x -3\right)}-\expIntegralEi \left(1, -\ln \left(x -3\right)\right)\right)}{7}-\frac{{\mathrm e}^{5}}{\ln \left(x -3\right)}-\frac{2 \,{\mathrm e}^{{\mathrm e}^{3}}}{7 \ln \left(x -3\right)}$&$63$\\ default&$\frac{{\mathrm e}^{{\mathrm e}^{3}} \expIntegralEi \left(1, -\ln \left(x -3\right)\right)}{7}+\frac{{\mathrm e}^{{\mathrm e}^{3}} \left(-\frac{x -3}{\ln \left(x -3\right)}-\expIntegralEi \left(1, -\ln \left(x -3\right)\right)\right)}{7}-\frac{{\mathrm e}^{5}}{\ln \left(x -3\right)}-\frac{2 \,{\mathrm e}^{{\mathrm e}^{3}}}{7 \ln \left(x -3\right)}$&$63$\\ \hline \end{longtable}"," ",0,"(-1/7*x*exp(exp(3))+1/7*exp(exp(3))-exp(5))/ln(x-3)","A"
1767,1,10,15,0.027000," ","int((-2*x^2+1)*exp(x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{{\mathrm e}^{x^{2}}}{x}$&$10$\\ default&$-\frac{{\mathrm e}^{x^{2}}}{x}$&$10$\\ norman&$-\frac{{\mathrm e}^{x^{2}}}{x}$&$10$\\ risch&$-\frac{{\mathrm e}^{x^{2}}}{x}$&$10$\\ meijerg&$-\sqrt{\pi}\, \erfi \left(x \right)+\frac{i \left(\frac{2 i {\mathrm e}^{x^{2}}}{x}-2 i \sqrt{\pi}\, \erfi \left(x \right)\right)}{2}$&$31$\\ \hline \end{longtable}"," ",0,"-exp(x^2)/x","A"
1768,1,33,25,0.053000," ","int((2*(-40*x^3+16*x^2+20*x-8)*ln(3)*exp(x^2)*ln(-5*x+2)+(4*(-160*x^4+64*x^3)*ln(3)^2-40*x*ln(3))*exp(x^2)+4*(320*x-128)*ln(3)^2)/((5*x-2)*exp(x^2)^2*ln(-5*x+2)^2+(2*(40*x^2-16*x)*ln(3)*exp(x^2)^2+2*(160*x-64)*ln(3)*exp(x^2))*ln(-5*x+2)+4*(80*x^3-32*x^2)*ln(3)^2*exp(x^2)^2+4*(640*x^2-256*x)*ln(3)^2*exp(x^2)+4*(1280*x-512)*ln(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 \ln \left(3\right) x}{8 \ln \left(3\right) {\mathrm e}^{x^{2}} x +{\mathrm e}^{x^{2}} \ln \left(-5 x +2\right)+32 \ln \left(3\right)}$&$33$\\ \hline \end{longtable}"," ",0,"8*ln(3)*x/(8*ln(3)*exp(x^2)*x+exp(x^2)*ln(-5*x+2)+32*ln(3))","A"
1769,1,29,29,0.219000," ","int(((9*x^3+8*x^2)*ln(x)+(9*x^3+8*x^2)*exp(3)+x^5-28*x^4+146*x^3+55*x^2-56*x-16)/((x^5-18*x^4+73*x^3+72*x^2+16*x)*ln(x)+(x^5-18*x^4+73*x^3+72*x^2+16*x)*exp(3)-x^6+25*x^5-199*x^4+439*x^3+488*x^2+112*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x^{2}}{x^{2}-9 x -4}-\ln \left({\mathrm e}^{3}-x +\ln \left(x \right)+7\right)$&$29$\\ risch&$-\frac{9 x +4}{x^{2}-9 x -4}-\ln \left({\mathrm e}^{3}-x +\ln \left(x \right)+7\right)$&$31$\\ \hline \end{longtable}"," ",0,"-x^2/(x^2-9*x-4)-ln(exp(3)-x+ln(x)+7)","A"
1770,1,30,24,0.122000," ","int((-2*exp(exp(x))^2+((x^3+10*x^2+25*x)*exp(x)-3*x^2-16*x-25)*exp(exp(x))+2*x^3+8*x^2)/(2*x*exp(exp(x))^2+(x^3+6*x^2+25*x)*exp(exp(x))-x^4-8*x^3-25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)-\ln \left(x^{2}+8 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}+25\right)+\ln \left(x -{\mathrm e}^{{\mathrm e}^{x}}\right)$&$30$\\ risch&$-\ln \left(x \right)+\ln \left({\mathrm e}^{{\mathrm e}^{x}}-x \right)-\ln \left(\frac{x^{2}}{2}+4 x +{\mathrm e}^{{\mathrm e}^{x}}+\frac{25}{2}\right)$&$30$\\ \hline \end{longtable}"," ",0,"-ln(x)-ln(x^2+8*x+2*exp(exp(x))+25)+ln(x-exp(exp(x)))","A"
1771,1,16,24,0.350000," ","int(((32*x+1)*ln(1/9*(160*x+5)*exp(5))-32*x*ln(x))/(32*x^2+x)/ln(1/9*(160*x+5)*exp(5))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{\ln \left(\frac{\left(160 x +5\right) {\mathrm e}^{5}}{9}\right)}$&$16$\\ \hline \end{longtable}"," ",0,"ln(x)/ln(1/9*(160*x+5)*exp(5))","A"
1772,1,680,31,0.777000," ","int(((5*x^4+24*x^2+16)*exp(exp(x))^5+((8*x^5+40*x^4+32*x^3+160*x^2)*exp(x)+(-25*x^4-120*x^2-80)*ln(5)^2+(-100*x^4-480*x^2-320)*ln(5)-140*x^4-160*x^3-576*x^2-320*x-320)*exp(exp(x))^4+(((-24*x^5-120*x^4-96*x^3-480*x^2)*ln(5)^2+(-96*x^5-480*x^4-384*x^3-1920*x^2)*ln(5)-144*x^5-960*x^4-1648*x^3-2560*x^2-1600*x)*exp(x)+(50*x^4+240*x^2+160)*ln(5)^4+(400*x^4+1920*x^2+1280)*ln(5)^3+(1360*x^4+640*x^3+6144*x^2+1280*x+3840)*ln(5)^2+(2240*x^4+2560*x^3+9216*x^2+5120*x+5120)*ln(5)+1560*x^4+3520*x^3+7272*x^2+5760*x+3360)*exp(exp(x))^3+(((24*x^5+120*x^4+96*x^3+480*x^2)*ln(5)^4+(192*x^5+960*x^4+768*x^3+3840*x^2)*ln(5)^3+(672*x^5+3840*x^4+4832*x^3+12800*x^2+3200*x)*ln(5)^2+(1152*x^5+7680*x^4+13184*x^3+20480*x^2+12800*x)*ln(5)+864*x^5+7200*x^4+18848*x^3+24800*x^2+12800*x)*exp(x)+(-50*x^4-240*x^2-160)*ln(5)^6+(-600*x^4-2880*x^2-1920)*ln(5)^5+(-3240*x^4-960*x^3-14976*x^2-1920*x-9600)*ln(5)^4+(-9920*x^4-7680*x^3-43008*x^2-15360*x-25600)*ln(5)^3+(-18120*x^4-25920*x^3-77112*x^2-48000*x-40800)*ln(5)^2+(-18720*x^4-42240*x^3-87264*x^2-69120*x-40320)*ln(5)-8640*x^4-28800*x^3-54528*x^2-46400*x-19840)*exp(exp(x))^2+(((-8*x^5-40*x^4-32*x^3-160*x^2)*ln(5)^6+(-96*x^5-480*x^4-384*x^3-1920*x^2)*ln(5)^5+(-528*x^5-2880*x^4-3184*x^3-10240*x^2-1600*x)*ln(5)^4+(-1664*x^5-10240*x^4-15232*x^3-30720*x^2-12800*x)*ln(5)^3+(-3168*x^5-22560*x^4-45216*x^3-65760*x^2-38400*x)*ln(5)^2+(-3456*x^5-28800*x^4-75392*x^3-99200*x^2-51200*x)*ln(5)-1728*x^5-17280*x^4-60672*x^3-100480*x^2-65600*x)*exp(x)+(25*x^4+120*x^2+80)*ln(5)^8+(400*x^4+1920*x^2+1280)*ln(5)^7+(2960*x^4+640*x^3+13824*x^2+1280*x+8960)*ln(5)^6+(13120*x^4+7680*x^3+58368*x^2+15360*x+35840)*ln(5)^5+(37960*x^4+41280*x^3+163128*x^2+78720*x+92000)*ln(5)^4+(73280*x^4+125440*x^3+321984*x^2+220160*x+162560)*ln(5)^3+(92160*x^4+226560*x^3+458112*x^2+369280*x+200960)*ln(5)^2+(69120*x^4+230400*x^3+436224*x^2+371200*x+158720)*ln(5)+23760*x^4+103680*x^3+211104*x^2+192640*x+68880)*exp(exp(x))+(-5*x^4-24*x^2-16)*ln(5)^10+(-100*x^4-480*x^2-320)*ln(5)^9+(-940*x^4-160*x^3-4416*x^2-320*x-2880)*ln(5)^8+(-5440*x^4-2560*x^3-24576*x^2-5120*x-15360)*ln(5)^7+(-21400*x^4-18880*x^3-93288*x^2-36480*x-54560)*ln(5)^6+(-59680*x^4-83200*x^3-259296*x^2-151040*x-138624)*ln(5)^5+(-119360*x^4-238720*x^3-551040*x^2-404800*x-263040)*ln(5)^4+(-168960*x^4-455680*x^3-901632*x^2-739840*x-373760)*ln(5)^3+(-162000*x^4-564480*x^3-1083552*x^2-935040*x-386320)*ln(5)^2+(-95040*x^4-414720*x^3-844416*x^2-770560*x-275520)*ln(5)-25920*x^4-138240*x^3-314496*x^2-314880*x-107584)/(exp(exp(x))^5+(-5*ln(5)^2-20*ln(5)-20)*exp(exp(x))^4+(10*ln(5)^4+80*ln(5)^3+240*ln(5)^2+320*ln(5)+160)*exp(exp(x))^3+(-10*ln(5)^6-120*ln(5)^5-600*ln(5)^4-1600*ln(5)^3-2400*ln(5)^2-1920*ln(5)-640)*exp(exp(x))^2+(5*ln(5)^8+80*ln(5)^7+560*ln(5)^6+2240*ln(5)^5+5600*ln(5)^4+8960*ln(5)^3+8960*ln(5)^2+5120*ln(5)+1280)*exp(exp(x))-ln(5)^10-20*ln(5)^9-180*ln(5)^8-960*ln(5)^7-3360*ln(5)^6-8064*ln(5)^5-13440*ln(5)^4-15360*ln(5)^3-11520*ln(5)^2-5120*ln(5)-1024),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{5}+8 x^{3}+16 x +\frac{8 \left(2850+4920 x +1980 x^{3} \ln \left(5\right)^{2}+63 x^{4} \ln \left(5\right)^{4}+x^{4} \ln \left(5\right)^{6}+12 x^{4} \ln \left(5\right)^{5}-4 x^{2} {\mathrm e}^{3 \,{\mathrm e}^{x}}+4496 x^{2} \ln \left(5\right)+48 x^{2} \ln \left(5\right)^{5}+800 \ln \left(5\right)^{3}+100 \ln \left(5\right)^{4}+184 x^{4} \ln \left(5\right)^{3}+3200 \ln \left(5\right)+2400 \ln \left(5\right)^{2}-800 \,{\mathrm e}^{{\mathrm e}^{x}}+130 x^{4}+1080 x^{3}+3020 x^{2}+20 x \ln \left(5\right)^{6}-20 x \,{\mathrm e}^{3 \,{\mathrm e}^{x}}+1040 x^{3} \ln \left(5\right)^{3}-{\mathrm e}^{3 \,{\mathrm e}^{x}} x^{4}-1124 \,{\mathrm e}^{{\mathrm e}^{x}} x^{2}+1240 x \ln \left(5\right)^{4}+7120 x \ln \left(5\right)+3156 x^{2} \ln \left(5\right)^{2}-1780 x \,{\mathrm e}^{{\mathrm e}^{x}}-540 x^{3} {\mathrm e}^{{\mathrm e}^{x}}+2160 x^{3} \ln \left(5\right)-76 x^{4} {\mathrm e}^{{\mathrm e}^{x}}+330 x^{3} \ln \left(5\right)^{4}+100 \,{\mathrm e}^{2 \,{\mathrm e}^{x}}+5 x^{3} \ln \left(5\right)^{6}+3520 \ln \left(5\right)^{3} x +319 \ln \left(5\right)^{4} x^{2}+316 x^{4} \ln \left(5\right)^{2}+6260 x \ln \left(5\right)^{2}+304 x^{4} \ln \left(5\right)+1272 x^{2} \ln \left(5\right)^{3}+60 \ln \left(5\right) {\mathrm e}^{2 \,{\mathrm e}^{x}} x^{3}+60 \ln \left(5\right)^{2} {\mathrm e}^{2 \,{\mathrm e}^{x}} x +48 \ln \left(5\right) {\mathrm e}^{2 \,{\mathrm e}^{x}} x^{2}+15 \ln \left(5\right)^{2} {\mathrm e}^{2 \,{\mathrm e}^{x}} x^{3}+12 \ln \left(5\right)^{2} {\mathrm e}^{2 \,{\mathrm e}^{x}} x^{2}+4 \ln \left(5\right)^{6} x^{2}+60 \ln \left(5\right)^{5} x^{3}+240 \ln \left(5\right)^{5} x -200 \ln \left(5\right)^{2} {\mathrm e}^{{\mathrm e}^{x}}-800 \ln \left(5\right) {\mathrm e}^{{\mathrm e}^{x}}-15 \ln \left(5\right)^{4} {\mathrm e}^{{\mathrm e}^{x}} x^{3}-12 \ln \left(5\right)^{4} {\mathrm e}^{{\mathrm e}^{x}} x^{2}-120 \ln \left(5\right)^{3} {\mathrm e}^{{\mathrm e}^{x}} x^{3}-60 \ln \left(5\right)^{4} {\mathrm e}^{{\mathrm e}^{x}} x -96 \ln \left(5\right)^{3} {\mathrm e}^{{\mathrm e}^{x}} x^{2}-420 \ln \left(5\right)^{2} {\mathrm e}^{{\mathrm e}^{x}} x^{3}-480 \ln \left(5\right)^{3} {\mathrm e}^{{\mathrm e}^{x}} x -446 \ln \left(5\right)^{2} {\mathrm e}^{{\mathrm e}^{x}} x^{2}-720 \ln \left(5\right) {\mathrm e}^{{\mathrm e}^{x}} x^{3}-1520 \ln \left(5\right)^{2} {\mathrm e}^{{\mathrm e}^{x}} x -1016 \ln \left(5\right) {\mathrm e}^{{\mathrm e}^{x}} x^{2}-2240 \ln \left(5\right) {\mathrm e}^{{\mathrm e}^{x}} x -3 \ln \left(5\right)^{4} {\mathrm e}^{{\mathrm e}^{x}} x^{4}-24 \ln \left(5\right)^{3} {\mathrm e}^{{\mathrm e}^{x}} x^{4}-78 \ln \left(5\right)^{2} {\mathrm e}^{{\mathrm e}^{x}} x^{4}-120 \ln \left(5\right) {\mathrm e}^{{\mathrm e}^{x}} x^{4}+127 x^{2} {\mathrm e}^{2 \,{\mathrm e}^{x}}+280 x \,{\mathrm e}^{2 \,{\mathrm e}^{x}}+90 x^{3} {\mathrm e}^{2 \,{\mathrm e}^{x}}+15 x^{4} {\mathrm e}^{2 \,{\mathrm e}^{x}}-5 \,{\mathrm e}^{3 \,{\mathrm e}^{x}} x^{3}+240 \ln \left(5\right) {\mathrm e}^{2 \,{\mathrm e}^{x}} x +3 \ln \left(5\right)^{2} {\mathrm e}^{2 \,{\mathrm e}^{x}} x^{4}+12 \ln \left(5\right) {\mathrm e}^{2 \,{\mathrm e}^{x}} x^{4}\right) x}{\left(\ln \left(5\right)^{2}+4 \ln \left(5\right)-{\mathrm e}^{{\mathrm e}^{x}}+4\right)^{4}}$&$680$\\ \hline \end{longtable}"," ",0,"x^5+8*x^3+16*x+8*(2850+4920*x+1980*x^3*ln(5)^2+63*x^4*ln(5)^4+x^4*ln(5)^6+12*x^4*ln(5)^5-4*x^2*exp(3*exp(x))+4496*x^2*ln(5)+48*x^2*ln(5)^5+800*ln(5)^3+100*ln(5)^4+184*x^4*ln(5)^3+3200*ln(5)+2400*ln(5)^2-800*exp(exp(x))+130*x^4+1080*x^3+3020*x^2+20*x*ln(5)^6-20*x*exp(3*exp(x))+1040*x^3*ln(5)^3-exp(3*exp(x))*x^4-1124*exp(exp(x))*x^2+1240*x*ln(5)^4+7120*x*ln(5)+3156*x^2*ln(5)^2-1780*x*exp(exp(x))-540*x^3*exp(exp(x))+2160*x^3*ln(5)-76*x^4*exp(exp(x))+330*x^3*ln(5)^4+100*exp(2*exp(x))+5*x^3*ln(5)^6+3520*ln(5)^3*x+319*ln(5)^4*x^2+316*x^4*ln(5)^2+6260*x*ln(5)^2+304*x^4*ln(5)+1272*x^2*ln(5)^3+60*ln(5)*exp(2*exp(x))*x^3+60*ln(5)^2*exp(2*exp(x))*x+48*ln(5)*exp(2*exp(x))*x^2+15*ln(5)^2*exp(2*exp(x))*x^3+12*ln(5)^2*exp(2*exp(x))*x^2+4*ln(5)^6*x^2+60*ln(5)^5*x^3+240*ln(5)^5*x-200*ln(5)^2*exp(exp(x))-800*ln(5)*exp(exp(x))-15*ln(5)^4*exp(exp(x))*x^3-12*ln(5)^4*exp(exp(x))*x^2-120*ln(5)^3*exp(exp(x))*x^3-60*ln(5)^4*exp(exp(x))*x-96*ln(5)^3*exp(exp(x))*x^2-420*ln(5)^2*exp(exp(x))*x^3-480*ln(5)^3*exp(exp(x))*x-446*ln(5)^2*exp(exp(x))*x^2-720*ln(5)*exp(exp(x))*x^3-1520*ln(5)^2*exp(exp(x))*x-1016*ln(5)*exp(exp(x))*x^2-2240*ln(5)*exp(exp(x))*x-3*ln(5)^4*exp(exp(x))*x^4-24*ln(5)^3*exp(exp(x))*x^4-78*ln(5)^2*exp(exp(x))*x^4-120*ln(5)*exp(exp(x))*x^4+127*x^2*exp(2*exp(x))+280*x*exp(2*exp(x))+90*x^3*exp(2*exp(x))+15*x^4*exp(2*exp(x))-5*exp(3*exp(x))*x^3+240*ln(5)*exp(2*exp(x))*x+3*ln(5)^2*exp(2*exp(x))*x^4+12*ln(5)*exp(2*exp(x))*x^4)*x/(ln(5)^2+4*ln(5)-exp(exp(x))+4)^4","B"
1773,1,18,17,0.056000," ","int(((-3*x-3)*exp(x)-13)/(3*exp(x)*x-9*exp(1)+13*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(-3 \,{\mathrm e}^{x} x +9 \,{\mathrm e}-13 x -9\right)$&$18$\\ risch&$-\ln \left(x \right)-\ln \left({\mathrm e}^{x}-\frac{9 \,{\mathrm e}-13 x -9}{3 x}\right)$&$26$\\ \hline \end{longtable}"," ",0,"-ln(-3*exp(x)*x+9*exp(1)-13*x-9)","A"
1774,1,111,22,0.089000," ","int((((-2*x^2+1)*ln(x)*ln(ln(x))^3+(-6*x^3-4*x^2+3*x)*ln(x)*ln(ln(x))^2+((-6*x^4-6*x^3+x^2)*ln(x)+2*x^2)*ln(ln(x))+(-2*x^5-2*x^4+x^3)*ln(x)+2*x^3+2*x^2)*exp((x^2*ln(ln(x))^2+(2*x^3+2*x^2)*ln(ln(x))+x^4+2*x^3+x^2)/(ln(ln(x))^2+2*x*ln(ln(x))+x^2))+(ln(x)^2-ln(x))*ln(ln(x))^3+(3*x*ln(x)^2-3*x*ln(x))*ln(ln(x))^2+(3*x^2*ln(x)^2-3*x^2*ln(x))*ln(ln(x))+x^3*ln(x)^2-x^3*ln(x))/((x*ln(x)*ln(ln(x))^3+3*x^2*ln(x)*ln(ln(x))^2+3*x^3*ln(x)*ln(ln(x))+x^4*ln(x))*exp((x^2*ln(ln(x))^2+(2*x^3+2*x^2)*ln(ln(x))+x^4+2*x^3+x^2)/(ln(ln(x))^2+2*x*ln(ln(x))+x^2))+x*ln(x)^2*ln(ln(x))^3+3*x^2*ln(x)^2*ln(ln(x))^2+3*x^3*ln(x)^2*ln(ln(x))+x^4*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-x^{2}-\frac{\left(2 x +2 \ln \left(\ln \left(x \right)\right)+1\right) x^{2}}{\left(\ln \left(\ln \left(x \right)\right)+x \right)^{2}}+\frac{x^{2} \ln \left(\ln \left(x \right)\right)^{2}+\left(2 x^{3}+2 x^{2}\right) \ln \left(\ln \left(x \right)\right)+x^{4}+2 x^{3}+x^{2}}{\ln \left(\ln \left(x \right)\right)^{2}+2 x \ln \left(\ln \left(x \right)\right)+x^{2}}-\ln \left(\ln \left(x \right)+{\mathrm e}^{\frac{x^{2} \left(\ln \left(\ln \left(x \right)\right)+x +1\right)^{2}}{\left(\ln \left(\ln \left(x \right)\right)+x \right)^{2}}}\right)$&$111$\\ \hline \end{longtable}"," ",0,"ln(x)-x^2-(2*x+2*ln(ln(x))+1)*x^2/(ln(ln(x))+x)^2+(x^2*ln(ln(x))^2+(2*x^3+2*x^2)*ln(ln(x))+x^4+2*x^3+x^2)/(ln(ln(x))^2+2*x*ln(ln(x))+x^2)-ln(ln(x)+exp(x^2*(ln(ln(x))+x+1)^2/(ln(ln(x))+x)^2))","B"
1775,1,12,14,0.096000," ","int(((-288*x+3600)*exp(1/25*x)^2-306000)/(25*exp(1/25*x)^4-4250*exp(1/25*x)^2+180625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{144 x}{{\mathrm e}^{\frac{2 x}{25}}-85}$&$12$\\ norman&$\frac{144 x}{{\mathrm e}^{\frac{2 x}{25}}-85}$&$14$\\ derivativedivides&$-\frac{720 \ln \left({\mathrm e}^{\frac{x}{25}}\right)}{17}+\frac{144 x \,{\mathrm e}^{\frac{2 x}{25}}}{85 \left({\mathrm e}^{\frac{2 x}{25}}-85\right)}$&$28$\\ default&$-\frac{720 \ln \left({\mathrm e}^{\frac{x}{25}}\right)}{17}+\frac{144 x \,{\mathrm e}^{\frac{2 x}{25}}}{85 \left({\mathrm e}^{\frac{2 x}{25}}-85\right)}$&$28$\\ \hline \end{longtable}"," ",0,"144*x/(exp(2/25*x)-85)","A"
1776,1,36,25,0.075000," ","int((((-6*x+2)*exp(3)*exp(x)+x^2*exp(3)*ln(3))*exp(2*x+25)-8*x^2*exp(3)*exp(x)+2*x^2*exp(3)*ln(3))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \,{\mathrm e}^{3} \ln \left(3\right)-\frac{2 \,{\mathrm e}^{28+3 x}}{x}+\frac{\ln \left(3\right) {\mathrm e}^{2 x +28}}{2}-8 \,{\mathrm e}^{3+x}$&$36$\\ norman&$\frac{-8 x \,{\mathrm e}^{3} {\mathrm e}^{x}+2 x^{2} {\mathrm e}^{3} \ln \left(3\right)-2 \,{\mathrm e}^{3 x} {\mathrm e}^{25} {\mathrm e}^{3}+\frac{{\mathrm e}^{25} {\mathrm e}^{3} \ln \left(3\right) x \,{\mathrm e}^{2 x}}{2}}{x}$&$45$\\ default&$\frac{{\mathrm e}^{2 x} {\mathrm e}^{25} {\mathrm e}^{3} \ln \left(3\right)}{2}+2 x \,{\mathrm e}^{3} \ln \left(3\right)-8 \,{\mathrm e}^{x} {\mathrm e}^{3}+2 \,{\mathrm e}^{25} {\mathrm e}^{3} \left(-\frac{{\mathrm e}^{3 x}}{x}-3 \expIntegralEi \left(1, -3 x \right)\right)+6 \,{\mathrm e}^{25} {\mathrm e}^{3} \expIntegralEi \left(1, -3 x \right)$&$61$\\ \hline \end{longtable}"," ",0,"2*x*exp(3)*ln(3)-2/x*exp(28+3*x)+1/2*ln(3)*exp(2*x+28)-8*exp(3+x)","A"
1777,1,26,23,0.092000," ","int(1/3*(((2*exp(x)*x+2*x^2-2*x)*ln(x)^2+(8*exp(x)*x+6*x^2-8*x)*ln(x)+(6*x+3)*exp(x)-6*x)*exp(1/3*(2*exp(x)*x-2*x)*ln(x)/exp(x))+3*exp(1)*exp(x))/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e} \ln \left(x \right)+\frac{\left(3 \ln \left(x \right)+9\right) x^{-\frac{2 x \left(-1+{\mathrm e}^{-x}\right)}{3}}}{3}$&$26$\\ \hline \end{longtable}"," ",0,"exp(1)*ln(x)+1/3*(3*ln(x)+9)*x^(-2/3*x*(-1+exp(-x)))","A"
1778,1,9,10,0.313000," ","int((3+x)/(x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +2 \ln \left(x +1\right)$&$9$\\ norman&$x +2 \ln \left(x +1\right)$&$9$\\ meijerg&$x +2 \ln \left(x +1\right)$&$9$\\ risch&$x +2 \ln \left(x +1\right)$&$9$\\ \hline \end{longtable}"," ",0,"x+2*ln(x+1)","A"
1779,1,25,26,0.035000," ","int((5*ln(x)+5*exp(2)-12*x^2+7)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-1} \left(-4 x^{3}+2 x +5 \,{\mathrm e}^{2} x +5 x \ln \left(x \right)\right)$&$25$\\ risch&$5 x \,{\mathrm e}-4 \,{\mathrm e}^{-1} x^{3}+5 x \,{\mathrm e}^{-1} \ln \left(x \right)+2 \,{\mathrm e}^{-1} x$&$26$\\ norman&$\left(2+5 \,{\mathrm e}^{2}\right) {\mathrm e}^{-1} x -4 \,{\mathrm e}^{-1} x^{3}+5 x \,{\mathrm e}^{-1} \ln \left(x \right)$&$32$\\ \hline \end{longtable}"," ",0,"1/exp(1)*(-4*x^3+2*x+5*exp(2)*x+5*x*ln(x))","A"
1780,1,15,14,0.061000," ","int((6*x^5-1)*exp(-x^6+x-2)/(exp(-x^6+x-2)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left({\mathrm e}^{-x^{6}+x -2}-1\right)$&$15$\\ risch&$-2-\ln \left({\mathrm e}^{-x^{6}+x -2}-1\right)$&$17$\\ \hline \end{longtable}"," ",0,"-ln(exp(-x^6+x-2)-1)","A"
1781,1,11,10,0.023000," ","int(-1/480*exp(exp(5))^2/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{5}}}{480 x}$&$11$\\ default&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{5}}}{480 x}$&$11$\\ norman&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{5}}}{480 x}$&$11$\\ risch&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{5}}}{480 x}$&$11$\\ \hline \end{longtable}"," ",0,"1/480*exp(exp(5))^2/x","A"
1782,1,59,26,0.549000," ","int((-x*ln(x)+((2*x-2)*exp(3)-x^2+2*x-1)*ln(-ln(3)/(2*exp(3)-x+1))+2*x*exp(3))/(2*x*exp(3)-x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\ln \left(-\frac{\ln \left(3\right)}{2 \,{\mathrm e}^{3}-x +1}\right)+\ln \left(-\frac{\ln \left(3\right)}{2 \,{\mathrm e}^{3}-x +1}\right) x -\ln \left(x \right) \ln \left(-\frac{\ln \left(3\right)}{2 \,{\mathrm e}^{3}-x +1}\right)$&$59$\\ default&$\left(x -1-2 \,{\mathrm e}^{3}\right) \ln \left(\frac{1}{x -1-2 \,{\mathrm e}^{3}}\right)+x -1-2 \,{\mathrm e}^{3}-\frac{2 \,{\mathrm e}^{3} \dilog \left(1+\frac{2 \,{\mathrm e}^{3}+1}{x -1-2 \,{\mathrm e}^{3}}\right)}{2 \,{\mathrm e}^{3}+1}-\frac{2 \,{\mathrm e}^{3} \ln \left(\frac{1}{x -1-2 \,{\mathrm e}^{3}}\right) \ln \left(1+\frac{2 \,{\mathrm e}^{3}+1}{x -1-2 \,{\mathrm e}^{3}}\right)}{2 \,{\mathrm e}^{3}+1}-\frac{\dilog \left(1+\frac{2 \,{\mathrm e}^{3}+1}{x -1-2 \,{\mathrm e}^{3}}\right)}{2 \,{\mathrm e}^{3}+1}-\frac{\ln \left(\frac{1}{x -1-2 \,{\mathrm e}^{3}}\right) \ln \left(1+\frac{2 \,{\mathrm e}^{3}+1}{x -1-2 \,{\mathrm e}^{3}}\right)}{2 \,{\mathrm e}^{3}+1}+\frac{\ln \left(\frac{1}{x -1-2 \,{\mathrm e}^{3}}\right)^{2}}{2}-\ln \left(\ln \left(3\right)\right) \ln \left(x \right)+\ln \left(\ln \left(3\right)\right) x -2 \,{\mathrm e}^{3} \ln \left(2 \,{\mathrm e}^{3}-x +1\right)+\left(\ln \left(x \right)-\ln \left(\frac{x}{2 \,{\mathrm e}^{3}+1}\right)\right) \ln \left(\frac{2 \,{\mathrm e}^{3}-x +1}{2 \,{\mathrm e}^{3}+1}\right)-\dilog \left(\frac{x}{2 \,{\mathrm e}^{3}+1}\right)$&$255$\\ risch&$\left(\ln \left(x \right)-x \right) \ln \left({\mathrm e}^{3}-\frac{x}{2}+\frac{1}{2}\right)-i \pi  x \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-\frac{x}{2}+\frac{1}{2}}\right)^{2}+i \pi  \ln \left(\left(-2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-\frac{x}{2}+\frac{1}{2}}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-\frac{x}{2}+\frac{1}{2}}\right)^{3}+2 \pi -2 i \ln \left(\ln \left(3\right)\right)+2 i \ln \left(2\right)-2 i\right) x \right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-\frac{x}{2}+\frac{1}{2}}\right)^{2}+i \pi  x -i \pi  \ln \left(\left(-2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-\frac{x}{2}+\frac{1}{2}}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-\frac{x}{2}+\frac{1}{2}}\right)^{3}+2 \pi -2 i \ln \left(\ln \left(3\right)\right)+2 i \ln \left(2\right)-2 i\right) x \right)-i \pi  \ln \left(\left(-2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-\frac{x}{2}+\frac{1}{2}}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-\frac{x}{2}+\frac{1}{2}}\right)^{3}+2 \pi -2 i \ln \left(\ln \left(3\right)\right)+2 i \ln \left(2\right)-2 i\right) x \right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-\frac{x}{2}+\frac{1}{2}}\right)^{3}+\ln \left(\ln \left(3\right)\right) x -x \ln \left(2\right)+x +i \pi  x \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-\frac{x}{2}+\frac{1}{2}}\right)^{3}-\ln \left(\ln \left(3\right)\right) \ln \left(\left(-2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-\frac{x}{2}+\frac{1}{2}}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-\frac{x}{2}+\frac{1}{2}}\right)^{3}+2 \pi -2 i \ln \left(\ln \left(3\right)\right)+2 i \ln \left(2\right)-2 i\right) x \right)+\ln \left(2\right) \ln \left(\left(-2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-\frac{x}{2}+\frac{1}{2}}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-\frac{x}{2}+\frac{1}{2}}\right)^{3}+2 \pi -2 i \ln \left(\ln \left(3\right)\right)+2 i \ln \left(2\right)-2 i\right) x \right)+\ln \left(2 \,{\mathrm e}^{3}-x +1\right)$&$413$\\ \hline \end{longtable}"," ",0,"x-ln(-ln(3)/(2*exp(3)-x+1))+ln(-ln(3)/(2*exp(3)-x+1))*x-ln(x)*ln(-ln(3)/(2*exp(3)-x+1))","B"
1783,1,27,22,0.068000," ","int((((-10*ln(3)^2-100*ln(3)-250)*exp(exp(x))+(10*x-60)*ln(3)^2+(100*x-600)*ln(3)+250*x-1500)*ln(exp(exp(x))-x+6)+(-20*x*ln(3)^2-200*x*ln(3)-500*x)*exp(x)*exp(exp(x))+20*x*ln(3)^2+200*x*ln(3)+500*x)/(exp(exp(x))*x^2-x^3+6*x^2)/ln(exp(exp(x))-x+6)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10 \ln \left(3\right)^{2}+100 \ln \left(3\right)+250}{\ln \left({\mathrm e}^{{\mathrm e}^{x}}-x +6\right)^{2} x}$&$27$\\ \hline \end{longtable}"," ",0,"10*(ln(3)^2+10*ln(3)+25)/x/ln(exp(exp(x))-x+6)^2","A"
1784,1,44,25,0.220000," ","int(((4*x*exp(4)*ln(20)-4*x^2*exp(4))*exp(x)+(1-exp(4))*ln(20)+2*x*exp(4)-x)*exp((-ln(x)-4*exp(4)*exp(x)+2)/exp(4))/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x \,{\mathrm e}^{4} \ln \left(5\right)-2 x \,{\mathrm e}^{4} \ln \left(2\right)+x^{2} {\mathrm e}^{4}\right) {\mathrm e}^{-{\mathrm e}^{-4} \ln \left(x \right)-4 \,{\mathrm e}^{-4} {\mathrm e}^{4+x}+2 \,{\mathrm e}^{-4}-4}$&$44$\\ norman&$x^{2} {\mathrm e}^{\left(-\ln \left(x \right)-4 \,{\mathrm e}^{4} {\mathrm e}^{x}+2\right) {\mathrm e}^{-4}}-x \ln \left(20\right) {\mathrm e}^{\left(-\ln \left(x \right)-4 \,{\mathrm e}^{4} {\mathrm e}^{x}+2\right) {\mathrm e}^{-4}}$&$47$\\ \hline \end{longtable}"," ",0,"(-x*exp(4)*ln(5)-2*x*exp(4)*ln(2)+x^2*exp(4))*exp(-exp(-4)*ln(x)-4*exp(-4)*exp(4+x)+2*exp(-4)-4)","A"
1785,1,32,31,0.073000," ","int(((4*x^2+x)*ln((5*x*ln(3)-4*x*exp(1))/exp(1))+2*x^2-5)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(2 x^{2}+x \right) \ln \left(\left(5 x \ln \left(3\right)-4 x \,{\mathrm e}\right) {\mathrm e}^{-1}\right)-x -5 \ln \left(x \right)$&$32$\\ norman&$x \ln \left(\left(5 x \ln \left(3\right)-4 x \,{\mathrm e}\right) {\mathrm e}^{-1}\right)-5 \ln \left(\left(5 x \ln \left(3\right)-4 x \,{\mathrm e}\right) {\mathrm e}^{-1}\right)-x +2 x^{2} \ln \left(\left(5 x \ln \left(3\right)-4 x \,{\mathrm e}\right) {\mathrm e}^{-1}\right)$&$65$\\ derivativedivides&$\frac{4 \,{\mathrm e}^{2} \left(\frac{x^{2} \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2} {\mathrm e}^{-2} \ln \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)}{2}-\frac{x^{2} \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2} {\mathrm e}^{-2}}{4}\right)}{\left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2}}-\frac{4 \,{\mathrm e}^{2} \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1} \ln \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)+x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)}{\left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2}}+x^{2}+\frac{5 \,{\mathrm e} \ln \left(3\right) \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1} \ln \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)+x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)}{\left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2}}-\frac{80 \,{\mathrm e}^{2} \ln \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)}{\left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2}}+\frac{200 \,{\mathrm e} \ln \left(3\right) \ln \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)}{\left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2}}-\frac{125 \ln \left(3\right)^{2} \ln \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)}{\left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2}}$&$314$\\ default&$\frac{4 \,{\mathrm e}^{2} \left(\frac{x^{2} \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2} {\mathrm e}^{-2} \ln \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)}{2}-\frac{x^{2} \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2} {\mathrm e}^{-2}}{4}\right)}{\left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2}}-\frac{4 \,{\mathrm e}^{2} \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1} \ln \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)+x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)}{\left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2}}+x^{2}+\frac{5 \,{\mathrm e} \ln \left(3\right) \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1} \ln \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)+x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)}{\left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2}}-\frac{80 \,{\mathrm e}^{2} \ln \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)}{\left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2}}+\frac{200 \,{\mathrm e} \ln \left(3\right) \ln \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)}{\left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2}}-\frac{125 \ln \left(3\right)^{2} \ln \left(-x \left(4 \,{\mathrm e}-5 \ln \left(3\right)\right) {\mathrm e}^{-1}\right)}{\left(4 \,{\mathrm e}-5 \ln \left(3\right)\right)^{2}}$&$314$\\ \hline \end{longtable}"," ",0,"(2*x^2+x)*ln((5*x*ln(3)-4*x*exp(1))*exp(-1))-x-5*ln(x)","A"
1786,1,20,15,0.054000," ","int(1/9*(x^2+2*x)*exp(2)^2*exp(1/2*x)^2+1/9*(6*x+12)*exp(2)*exp(1/2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x \,{\mathrm e}^{2+\frac{x}{2}}}{3}+\frac{x^{2} {\mathrm e}^{4+x}}{9}$&$20$\\ derivativedivides&$\frac{4 x \,{\mathrm e}^{2} {\mathrm e}^{\frac{x}{2}}}{3}+\frac{x^{2} {\mathrm e}^{4} {\mathrm e}^{x}}{9}$&$26$\\ default&$\frac{4 x \,{\mathrm e}^{2} {\mathrm e}^{\frac{x}{2}}}{3}+\frac{x^{2} {\mathrm e}^{4} {\mathrm e}^{x}}{9}$&$26$\\ norman&$\frac{4 x \,{\mathrm e}^{2} {\mathrm e}^{\frac{x}{2}}}{3}+\frac{x^{2} {\mathrm e}^{4} {\mathrm e}^{x}}{9}$&$26$\\ meijerg&$-\frac{{\mathrm e}^{4} \left(2-\frac{\left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}}{3}\right)}{9}+\frac{2 \,{\mathrm e}^{4} \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)}{9}-\frac{8 \,{\mathrm e}^{2} \left(1-{\mathrm e}^{\frac{x}{2}}\right)}{3}+\frac{8 \,{\mathrm e}^{2} \left(1-\frac{\left(2-x \right) {\mathrm e}^{\frac{x}{2}}}{2}\right)}{3}$&$66$\\ \hline \end{longtable}"," ",0,"4/3*x*exp(2+1/2*x)+1/9*x^2*exp(4+x)","A"
1787,1,28,24,0.203000," ","int(((exp(2)+x^6+8*x^4+16*x^2+2*x+5)*ln(-exp(2)-x^6-8*x^4-16*x^2-2*x-5)+6*x^6+32*x^4+32*x^2+2*x)/(exp(2)+x^6+8*x^4+16*x^2+2*x+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(-{\mathrm e}^{2}-x^{6}-8 x^{4}-16 x^{2}-2 x -5\right) x$&$28$\\ norman&$\ln \left(-{\mathrm e}^{2}-x^{6}-8 x^{4}-16 x^{2}-2 x -5\right) x$&$28$\\ risch&$\ln \left(-{\mathrm e}^{2}-x^{6}-8 x^{4}-16 x^{2}-2 x -5\right) x$&$28$\\ \hline \end{longtable}"," ",0,"ln(-exp(2)-x^6-8*x^4-16*x^2-2*x-5)*x","A"
1788,1,48,19,0.239000," ","int(((8*x^3+160)*ln(1/400*(x^6+400*x^4-80*x^3+40000*x^2-16000*x+1600)/x^2)-8*x^3-160)/(x^4+200*x^2-40*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{x^{6}+400 x^{4}-80 x^{3}+40000 x^{2}-16000 x +1600}{400 x^{2}}\right)^{2}-4 \ln \left(x^{3}+200 x -40\right)+4 \ln \left(x \right)$&$48$\\ default&$-4 \ln \left(x^{3}+200 x -40\right)+4 \ln \left(x \right)+8 \ln \left(20\right) \ln \left(x \right)-8 \ln \left(20\right) \ln \left(x^{3}+200 x -40\right)+8 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha  =\RootOf \left(\textit{\_Z}^{3}+200 \textit{\_Z} -40\right)}{\sum}\left(\frac{\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{x^{6}+400 x^{4}-80 x^{3}+40000 x^{2}-16000 x +1600}{x^{2}}\right)}{2}-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{i \sqrt{3 \underline{\hspace{1.25 ex}}\alpha^{2}+800}-\underline{\hspace{1.25 ex}}\alpha  -2 x}{i \sqrt{3 \underline{\hspace{1.25 ex}}\alpha^{2}+800}-3 \underline{\hspace{1.25 ex}}\alpha }\right)-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{i \sqrt{3 \underline{\hspace{1.25 ex}}\alpha^{2}+800}+\underline{\hspace{1.25 ex}}\alpha  +2 x}{i \sqrt{3 \underline{\hspace{1.25 ex}}\alpha^{2}+800}+3 \underline{\hspace{1.25 ex}}\alpha }\right)-\dilog \left(\frac{i \sqrt{3 \underline{\hspace{1.25 ex}}\alpha^{2}+800}-\underline{\hspace{1.25 ex}}\alpha  -2 x}{i \sqrt{3 \underline{\hspace{1.25 ex}}\alpha^{2}+800}-3 \underline{\hspace{1.25 ex}}\alpha }\right)-\dilog \left(\frac{i \sqrt{3 \underline{\hspace{1.25 ex}}\alpha^{2}+800}+\underline{\hspace{1.25 ex}}\alpha  +2 x}{i \sqrt{3 \underline{\hspace{1.25 ex}}\alpha^{2}+800}+3 \underline{\hspace{1.25 ex}}\alpha }\right)+\dilog \left(\frac{x}{\underline{\hspace{1.25 ex}}\alpha}\right)+\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{x}{\underline{\hspace{1.25 ex}}\alpha}\right)-\frac{\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right)^{2}}{2}\right)\right)-4 \ln \left(x \right) \ln \left(\frac{x^{6}+400 x^{4}-80 x^{3}+40000 x^{2}-16000 x +1600}{x^{2}}\right)+8 \ln \left(x \right) \ln \left(\frac{\RootOf \left(\textit{\_Z}^{3}+200 \textit{\_Z} -40, \mathit{index} =1\right)-x}{\RootOf \left(\textit{\_Z}^{3}+200 \textit{\_Z} -40, \mathit{index} =1\right)}\right)+8 \dilog \left(\frac{\RootOf \left(\textit{\_Z}^{3}+200 \textit{\_Z} -40, \mathit{index} =1\right)-x}{\RootOf \left(\textit{\_Z}^{3}+200 \textit{\_Z} -40, \mathit{index} =1\right)}\right)+8 \ln \left(x \right) \ln \left(\frac{\RootOf \left(\textit{\_Z}^{3}+200 \textit{\_Z} -40, \mathit{index} =2\right)-x}{\RootOf \left(\textit{\_Z}^{3}+200 \textit{\_Z} -40, \mathit{index} =2\right)}\right)+8 \dilog \left(\frac{\RootOf \left(\textit{\_Z}^{3}+200 \textit{\_Z} -40, \mathit{index} =2\right)-x}{\RootOf \left(\textit{\_Z}^{3}+200 \textit{\_Z} -40, \mathit{index} =2\right)}\right)+8 \ln \left(x \right) \ln \left(\frac{\RootOf \left(\textit{\_Z}^{3}+200 \textit{\_Z} -40, \mathit{index} =3\right)-x}{\RootOf \left(\textit{\_Z}^{3}+200 \textit{\_Z} -40, \mathit{index} =3\right)}\right)+8 \dilog \left(\frac{\RootOf \left(\textit{\_Z}^{3}+200 \textit{\_Z} -40, \mathit{index} =3\right)-x}{\RootOf \left(\textit{\_Z}^{3}+200 \textit{\_Z} -40, \mathit{index} =3\right)}\right)-4 \ln \left(x \right)^{2}$&$536$\\ risch&$\text{Expression too large to display}$&$4105$\\ \hline \end{longtable}"," ",0,"ln(1/400*(x^6+400*x^4-80*x^3+40000*x^2-16000*x+1600)/x^2)^2-4*ln(x^3+200*x-40)+4*ln(x)","B"
1789,1,35,28,0.038000," ","int((((x-exp(x))*ln(x)^2+((4*x-2)*exp(x)-4*x^2+2*x)*ln(x)+(-3*x^2+2*x)*exp(x)+3*x^3-2*x^2)*ln(exp(x)-x)^2+(2*exp(x)-2)*ln(exp(x)-x)+(-625*exp(x)*x+625*x^2)*ln(x)^2+((2500*x^2-1250*x)*exp(x)-2500*x^3+1250*x^2)*ln(x)+(-1875*x^3+1250*x^2+625)*exp(x)+1875*x^4-1250*x^3-625*x)/((exp(x)-x)*ln(exp(x)-x)^2+625*exp(x)*x-625*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{3}+2 x^{2} \ln \left(x \right)-x \ln \left(x \right)^{2}+\ln \left(\ln \left({\mathrm e}^{x}-x \right)^{2}+625 x \right)$&$35$\\ \hline \end{longtable}"," ",0,"-x^3+2*x^2*ln(x)-x*ln(x)^2+ln(ln(exp(x)-x)^2+625*x)","A"
1790,1,19,20,0.063000," ","int((-5*ln(-1/2*x*exp(1)+5/2*x)+5)/x/ln(-1/2*x*exp(1)+5/2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 \ln \left(x \right)+5 \ln \left(\ln \left(-\frac{x \,{\mathrm e}}{2}+\frac{5 x}{2}\right)\right)$&$19$\\ derivativedivides&$-5 \ln \left(\left(-\frac{{\mathrm e}}{2}+\frac{5}{2}\right) x \right)+5 \ln \left(\ln \left(\left(-\frac{{\mathrm e}}{2}+\frac{5}{2}\right) x \right)\right)$&$25$\\ default&$-5 \ln \left(\left(-\frac{{\mathrm e}}{2}+\frac{5}{2}\right) x \right)+5 \ln \left(\ln \left(\left(-\frac{{\mathrm e}}{2}+\frac{5}{2}\right) x \right)\right)$&$25$\\ norman&$-5 \ln \left(-\frac{x \,{\mathrm e}}{2}+\frac{5 x}{2}\right)+5 \ln \left(\ln \left(-\frac{x \,{\mathrm e}}{2}+\frac{5 x}{2}\right)\right)$&$27$\\ \hline \end{longtable}"," ",0,"-5*ln(x)+5*ln(ln(-1/2*x*exp(1)+5/2*x))","A"
1791,1,21,18,0.049000," ","int((12*x*ln(1/5*x)+12*x^3+96*x^2+180*x-48)/(5*x*ln(1/5*x)^2+(-10*x^3-40*x^2)*ln(1/5*x)+5*x^5+40*x^4+80*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{12 \left(4+x \right)}{5 \left(x^{2}+4 x -\ln \left(\frac{x}{5}\right)\right)}$&$21$\\ norman&$\frac{-\frac{48}{5}-\frac{12 x}{5}}{x^{2}+4 x -\ln \left(\frac{x}{5}\right)}$&$22$\\ \hline \end{longtable}"," ",0,"-12/5*(4+x)/(x^2+4*x-ln(1/5*x))","A"
1792,1,36,26,0.216000," ","int(((162*x-324)*exp(2/x)^2+(-486*x^2+324*x)*exp(2/x)+324*x^3)/exp(1/256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-\frac{1}{256}} \left(81 x^{2} {\mathrm e}^{\frac{4}{x}}-162 x^{3} {\mathrm e}^{\frac{2}{x}}+81 x^{4}\right)$&$36$\\ derivativedivides&$-{\mathrm e}^{-\frac{1}{256}} \left(-81 x^{4}+162 x^{3} {\mathrm e}^{\frac{2}{x}}-81 x^{2} {\mathrm e}^{\frac{4}{x}}\right)$&$37$\\ risch&$81 \,{\mathrm e}^{-\frac{1}{256}} x^{4}+81 x^{2} {\mathrm e}^{-\frac{x -1024}{256 x}}-162 x^{3} {\mathrm e}^{-\frac{x -512}{256 x}}$&$37$\\ norman&$81 \,{\mathrm e}^{-\frac{1}{256}} x^{4}+81 \,{\mathrm e}^{-\frac{1}{256}} x^{2} {\mathrm e}^{\frac{4}{x}}-162 \,{\mathrm e}^{-\frac{1}{256}} x^{3} {\mathrm e}^{\frac{2}{x}}$&$43$\\ \hline \end{longtable}"," ",0,"1/exp(1/256)*(81*x^2*exp(2/x)^2-162*x^3*exp(2/x)+81*x^4)","A"
1793,1,19,18,0.092000," ","int((50*x^9-25*x^6+150*x^5)*exp(5*x^6/(5*x^4-x+5))/(25*x^8-10*x^5+50*x^4+x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{5 x^{6}}{5 x^{4}-x +5}}$&$19$\\ risch&${\mathrm e}^{\frac{5 x^{6}}{5 x^{4}-x +5}}$&$19$\\ norman&$\frac{-x \,{\mathrm e}^{\frac{5 x^{6}}{5 x^{4}-x +5}}+5 x^{4} {\mathrm e}^{\frac{5 x^{6}}{5 x^{4}-x +5}}+5 \,{\mathrm e}^{\frac{5 x^{6}}{5 x^{4}-x +5}}}{5 x^{4}-x +5}$&$79$\\ \hline \end{longtable}"," ",0,"exp(5*x^6/(5*x^4-x+5))","A"
1794,1,136,27,0.325000," ","int(((4*x*ln(1/x)^2+2*x*ln(1/x))*ln((2*ln(1/x)+1)/ln(1/x))^2+((-8*x*ln(1/x)^2-4*x*ln(1/x))*ln(x)+(16*x^2+2)*ln(1/x)^2+(8*x^2+1)*ln(1/x))*ln((2*ln(1/x)+1)/ln(1/x))+(4*x*ln(1/x)^2+2*x*ln(1/x))*ln(x)^2+((-16*x^2-2)*ln(1/x)^2+(-8*x^2-1)*ln(1/x))*ln(x)+(16*x^3+2)*ln(1/x)^2+(8*x^3+1)*ln(1/x)-1)/((2*ln(1/x)^2+ln(1/x))*ln((2*ln(1/x)+1)/ln(1/x))^2+((-4*ln(1/x)^2-2*ln(1/x))*ln(x)+8*x*ln(1/x)^2+4*x*ln(1/x))*ln((2*ln(1/x)+1)/ln(1/x))+(2*ln(1/x)^2+ln(1/x))*ln(x)^2+(-8*x*ln(1/x)^2-4*x*ln(1/x))*ln(x)+8*x^2*ln(1/x)^2+4*x^2*ln(1/x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{2 x}{-i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-\frac{1}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-\frac{1}{2}\right)}{\ln \left(x \right)}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-\frac{1}{2}\right)}{\ln \left(x \right)}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-\frac{1}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-\frac{1}{2}\right)}{\ln \left(x \right)}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-\frac{1}{2}\right)}{\ln \left(x \right)}\right)^{3}+2 \ln \left(2\right)+4 x -2 \ln \left(x \right)-2 \ln \left(\ln \left(x \right)\right)+2 \ln \left(\ln \left(x \right)-\frac{1}{2}\right)}$&$136$\\ \hline \end{longtable}"," ",0,"x^2+2*x/(-I*Pi*csgn(I/ln(x))*csgn(I*(ln(x)-1/2))*csgn(I/ln(x)*(ln(x)-1/2))+I*Pi*csgn(I/ln(x))*csgn(I/ln(x)*(ln(x)-1/2))^2+I*Pi*csgn(I*(ln(x)-1/2))*csgn(I/ln(x)*(ln(x)-1/2))^2-I*Pi*csgn(I/ln(x)*(ln(x)-1/2))^3+2*ln(2)+4*x-2*ln(x)-2*ln(ln(x))+2*ln(ln(x)-1/2))","C"
1795,1,19,18,0.039000," ","int((exp(exp(3))+5)*exp((x-5)*exp(exp(3))+5*x-20)-2*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{\left(x -5\right) {\mathrm e}^{{\mathrm e}^{3}}+5 x -20}-2 \,{\mathrm e}^{x}$&$19$\\ norman&${\mathrm e}^{\left(x -5\right) {\mathrm e}^{{\mathrm e}^{3}}+5 x -20}-2 \,{\mathrm e}^{x}$&$19$\\ risch&${\mathrm e}^{x \,{\mathrm e}^{{\mathrm e}^{3}}-5 \,{\mathrm e}^{{\mathrm e}^{3}}+5 x -20}-2 \,{\mathrm e}^{x}$&$22$\\ meijerg&$\frac{\left({\mathrm e}^{{\mathrm e}^{3}-5 \,{\mathrm e}^{{\mathrm e}^{3}}-20}+5 \,{\mathrm e}^{-5 \,{\mathrm e}^{{\mathrm e}^{3}}-20}\right) \left(1-{\mathrm e}^{-x \left(-{\mathrm e}^{{\mathrm e}^{3}}-5\right)}\right)}{-{\mathrm e}^{{\mathrm e}^{3}}-5}+2-2 \,{\mathrm e}^{x}$&$53$\\ \hline \end{longtable}"," ",0,"exp((x-5)*exp(exp(3))+5*x-20)-2*exp(x)","A"
1796,1,20,23,0.100000," ","int((40*x^7*exp(4)^2+2*x+1)*exp(x^8*exp(4)^2+1/5*x^2+1/5*x)/(exp(x^8*exp(4)^2+1/5*x^2+1/5*x)+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \ln \left({\mathrm e}^{\frac{x \left(5 x^{7} {\mathrm e}^{8}+x +1\right)}{5}}+2\right)$&$20$\\ norman&$5 \ln \left({\mathrm e}^{x^{8} {\mathrm e}^{8}+\frac{x^{2}}{5}+\frac{x}{5}}+2\right)$&$24$\\ \hline \end{longtable}"," ",0,"5*ln(exp(1/5*x*(5*x^7*exp(8)+x+1))+2)","A"
1797,1,42,19,0.092000," ","int((-64*x^2*exp(16/x^2)^2+(-10*x^5+320*x^3-84*x^2-1344)*exp(16/x^2)+50*x^6+210*x^3-1764)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x^{2}+\frac{-210 x^{3}+441}{x^{4}}+{\mathrm e}^{\frac{32}{x^{2}}}-\frac{2 \left(5 x^{3}-21\right) {\mathrm e}^{\frac{16}{x^{2}}}}{x^{2}}$&$42$\\ derivativedivides&$-\frac{210}{x}+25 x^{2}+\frac{441}{x^{4}}+{\mathrm e}^{\frac{32}{x^{2}}}+\frac{42 \,{\mathrm e}^{\frac{16}{x^{2}}}}{x^{2}}-10 \,{\mathrm e}^{\frac{16}{x^{2}}} x$&$43$\\ default&$-\frac{210}{x}+25 x^{2}+\frac{441}{x^{4}}+{\mathrm e}^{\frac{32}{x^{2}}}+\frac{42 \,{\mathrm e}^{\frac{16}{x^{2}}}}{x^{2}}-10 \,{\mathrm e}^{\frac{16}{x^{2}}} x$&$43$\\ norman&$\frac{441+x^{4} {\mathrm e}^{\frac{32}{x^{2}}}-210 x^{3}+25 x^{6}+42 \,{\mathrm e}^{\frac{16}{x^{2}}} x^{2}-10 \,{\mathrm e}^{\frac{16}{x^{2}}} x^{5}}{x^{4}}$&$51$\\ \hline \end{longtable}"," ",0,"25*x^2+(-210*x^3+441)/x^4+exp(32/x^2)-2*(5*x^3-21)/x^2*exp(16/x^2)","B"
1798,0,0,27,0.051000," ","int((((-9*x^2+288*x)*exp(x)+27*x-864)*ln((exp(x)*x-3)/exp(x))*ln(-16*ln((exp(x)*x-3)/exp(x))/(x-32))^2+((-18*exp(x)*x^2+54*x)*ln((exp(x)*x-3)/exp(x))+(18*x^2-576*x)*exp(x)+54*x^2-1728*x)*ln(-16*ln((exp(x)*x-3)/exp(x))/(x-32))+((x^4-32*x^3)*exp(x)-3*x^3+96*x^2)*ln((exp(x)*x-3)/exp(x)))/((x^4-32*x^3)*exp(x)-3*x^3+96*x^2)/ln((exp(x)*x-3)/exp(x)),x)","\[\int \frac{\left(\left(-9 x^{2}+288 x \right) {\mathrm e}^{x}+27 x -864\right) \ln \left(\left({\mathrm e}^{x} x -3\right) {\mathrm e}^{-x}\right) \ln \left(-\frac{16 \ln \left(\left({\mathrm e}^{x} x -3\right) {\mathrm e}^{-x}\right)}{x -32}\right)^{2}+\left(\left(-18 \,{\mathrm e}^{x} x^{2}+54 x \right) \ln \left(\left({\mathrm e}^{x} x -3\right) {\mathrm e}^{-x}\right)+\left(18 x^{2}-576 x \right) {\mathrm e}^{x}+54 x^{2}-1728 x \right) \ln \left(-\frac{16 \ln \left(\left({\mathrm e}^{x} x -3\right) {\mathrm e}^{-x}\right)}{x -32}\right)+\left(\left(x^{4}-32 x^{3}\right) {\mathrm e}^{x}-3 x^{3}+96 x^{2}\right) \ln \left(\left({\mathrm e}^{x} x -3\right) {\mathrm e}^{-x}\right)}{\left(\left(x^{4}-32 x^{3}\right) {\mathrm e}^{x}-3 x^{3}+96 x^{2}\right) \ln \left(\left({\mathrm e}^{x} x -3\right) {\mathrm e}^{-x}\right)}\, dx\]"," ",0,"int((((-9*x^2+288*x)*exp(x)+27*x-864)*ln((exp(x)*x-3)/exp(x))*ln(-16*ln((exp(x)*x-3)/exp(x))/(x-32))^2+((-18*exp(x)*x^2+54*x)*ln((exp(x)*x-3)/exp(x))+(18*x^2-576*x)*exp(x)+54*x^2-1728*x)*ln(-16*ln((exp(x)*x-3)/exp(x))/(x-32))+((x^4-32*x^3)*exp(x)-3*x^3+96*x^2)*ln((exp(x)*x-3)/exp(x)))/((x^4-32*x^3)*exp(x)-3*x^3+96*x^2)/ln((exp(x)*x-3)/exp(x)),x)","F"
1799,1,9,9,0.018000," ","int(-2*exp(x)+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x -2 \,{\mathrm e}^{x}$&$9$\\ norman&$4 x -2 \,{\mathrm e}^{x}$&$9$\\ risch&$4 x -2 \,{\mathrm e}^{x}$&$9$\\ derivativedivides&$-2 \,{\mathrm e}^{x}+4 \ln \left({\mathrm e}^{x}\right)$&$11$\\ \hline \end{longtable}"," ",0,"4*x-2*exp(x)","A"
1800,1,24,20,0.017000," ","int((24*x^3-180*x^2-60*x+950)/(3*x^4-30*x^3-15*x^2+475*x+725),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(3 x^{4}-30 x^{3}-15 x^{2}+475 x +725\right)$&$24$\\ norman&$2 \ln \left(3 x^{4}-30 x^{3}-15 x^{2}+475 x +725\right)$&$24$\\ risch&$2 \ln \left(3 x^{4}-30 x^{3}-15 x^{2}+475 x +725\right)$&$24$\\ \hline \end{longtable}"," ",0,"2*ln(3*x^4-30*x^3-15*x^2+475*x+725)","A"
1801,1,13,14,0.023000," ","int(-3/2*exp(1)+6*x+17/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(-6 x +3 \,{\mathrm e}-17\right)}{2}$&$13$\\ default&$-\frac{3 x \,{\mathrm e}}{2}+3 x^{2}+\frac{17 x}{2}$&$15$\\ norman&$\left(-\frac{3 \,{\mathrm e}}{2}+\frac{17}{2}\right) x +3 x^{2}$&$15$\\ risch&$-\frac{3 x \,{\mathrm e}}{2}+3 x^{2}+\frac{17 x}{2}$&$15$\\ \hline \end{longtable}"," ",0,"-1/2*x*(-6*x+3*exp(1)-17)","A"
1802,1,30,25,0.036000," ","int((3*x^6-24*x^5+47*x^4+12*x^3+152*x^2+32*x-64)/((x^4-8*x^3+16*x^2+64)*ln(5/16*x^4-5/2*x^3+5*x^2+20)+x^7-8*x^6+15*x^5+8*x^4+48*x^3-64*x)/ln(-ln(5/16*x^4-5/2*x^3+5*x^2+20)-x^3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(-\ln \left(\frac{5}{16} x^{4}-\frac{5}{2} x^{3}+5 x^{2}+20\right)-x^{3}+x \right)\right)$&$30$\\ \hline \end{longtable}"," ",0,"ln(ln(-ln(5/16*x^4-5/2*x^3+5*x^2+20)-x^3+x))","A"
1803,1,62,30,0.491000," ","int(((-2*x^5-4*x^3-2*x)*exp(4/exp(3))^2+(-16*x^5-32*x^3-16*x)*exp(4/exp(3))-32*x^5-64*x^3-42*x)*exp(((x^4+x^2)*exp(4/exp(3))^2+(8*x^4+8*x^2)*exp(4/exp(3))+16*x^4+16*x^2-5)/(x^2+1))/(x^4+2*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{{\mathrm e}^{8 \,{\mathrm e}^{-3}} x^{4}+8 \,{\mathrm e}^{4 \,{\mathrm e}^{-3}} x^{4}+16 x^{4}+{\mathrm e}^{8 \,{\mathrm e}^{-3}} x^{2}+8 \,{\mathrm e}^{4 \,{\mathrm e}^{-3}} x^{2}+16 x^{2}-5}{x^{2}+1}}$&$62$\\ gosper&$-{\mathrm e}^{\frac{{\mathrm e}^{8 \,{\mathrm e}^{-3}} x^{4}+8 \,{\mathrm e}^{4 \,{\mathrm e}^{-3}} x^{4}+16 x^{4}+{\mathrm e}^{8 \,{\mathrm e}^{-3}} x^{2}+8 \,{\mathrm e}^{4 \,{\mathrm e}^{-3}} x^{2}+16 x^{2}-5}{x^{2}+1}}$&$74$\\ norman&$\frac{-x^{2} {\mathrm e}^{\frac{\left(x^{4}+x^{2}\right) {\mathrm e}^{8 \,{\mathrm e}^{-3}}+\left(8 x^{4}+8 x^{2}\right) {\mathrm e}^{4 \,{\mathrm e}^{-3}}+16 x^{4}+16 x^{2}-5}{x^{2}+1}}-{\mathrm e}^{\frac{\left(x^{4}+x^{2}\right) {\mathrm e}^{8 \,{\mathrm e}^{-3}}+\left(8 x^{4}+8 x^{2}\right) {\mathrm e}^{4 \,{\mathrm e}^{-3}}+16 x^{4}+16 x^{2}-5}{x^{2}+1}}}{x^{2}+1}$&$131$\\ \hline \end{longtable}"," ",0,"-exp((exp(8*exp(-3))*x^4+8*exp(4*exp(-3))*x^4+16*x^4+exp(8*exp(-3))*x^2+8*exp(4*exp(-3))*x^2+16*x^2-5)/(x^2+1))","B"
1804,1,6,9,0.019000," ","int(-1/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\ln \left(\ln \left(x \right)\right)$&$6$\\ default&$-\ln \left(\ln \left(x \right)\right)$&$6$\\ norman&$-\ln \left(\ln \left(x \right)\right)$&$6$\\ risch&$-\ln \left(\ln \left(x \right)\right)$&$6$\\ \hline \end{longtable}"," ",0,"-ln(ln(x))","A"
1805,1,55,31,0.134000," ","int((((x^6-8*x^5+5*x^4+50*x^3)*exp(x)+(-6*x+15)*ln(3)+3*x^2)*exp(exp(x)*x^2)+(6*x^2-15*x)*ln(3)-x^4+7*x^3-25*x^2)*exp(((x^2-5*x)*ln(exp(exp(x)*x^2)-x)+3*ln(3)+3*x^2-18*x)/(x^2-5*x))/((x^4-10*x^3+25*x^2)*exp(exp(x)*x^2)-x^5+10*x^4-25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\ln \left({\mathrm e}^{{\mathrm e}^{x} x^{2}}-x \right) x^{2}-5 \ln \left({\mathrm e}^{{\mathrm e}^{x} x^{2}}-x \right) x +3 x^{2}+3 \ln \left(3\right)-18 x}{\left(x -5\right) x}}$&$55$\\ \hline \end{longtable}"," ",0,"exp((ln(exp(exp(x)*x^2)-x)*x^2-5*ln(exp(exp(x)*x^2)-x)*x+3*x^2+3*ln(3)-18*x)/(x-5)/x)","A"
1806,1,571,26,0.148000," ","int(((2*ln(x)^2-2*x*ln(x))*ln((x-ln(x))/ln(x))^2+(-4*x*ln(x)+4*x)*ln((x-ln(x))/ln(x))+(2*x-2)*ln(x)^2+(-2*x^2+2*x)*ln(x))*exp(2*x*ln((x-ln(x))/ln(x))^2-exp(1)+x^2-2*x)/(ln(x)^2-x*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{2 i x \pi  \,\mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right)} \left(x -\ln \left(x \right)\right)^{2 i x \pi  \,\mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right)} \ln \left(x \right)^{-4 x \ln \left(x -\ln \left(x \right)\right)} \left(x -\ln \left(x \right)\right)^{2 i x \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)} \ln \left(x \right)^{2 i x \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right)} \ln \left(x \right)^{-2 i x \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)} \left(x -\ln \left(x \right)\right)^{-2 i x \pi  \,\mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right)} \left(x -\ln \left(x \right)\right)^{-2 i x \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right)} \ln \left(x \right)^{-2 i x \pi  \,\mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right)} {\mathrm e}^{-x \,\pi^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right)^{5} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+x \,\pi^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right)^{5} \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right)-\frac{x \,\pi^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right)^{4} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)^{2}}{2}-\frac{x \,\pi^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right)^{4} \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right)^{2}}{2}+2 x \ln \left(\ln \left(x \right)\right)^{2}+2 x \ln \left(x -\ln \left(x \right)\right)^{2}-\frac{x \,\pi^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right)^{6}}{2}+2 x \,\pi^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right)^{4} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right)+x \,\pi^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right)^{3} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right)-x \,\pi^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right)^{3} \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-\frac{x \,\pi^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right)^{2}}{2}-{\mathrm e}+x^{2}-2 x}$&$571$\\ \hline \end{longtable}"," ",0,"ln(x)^(2*I*x*Pi*csgn(I*(ln(x)-x)/ln(x))*csgn(I/ln(x))*csgn(I*(ln(x)-x)))*(x-ln(x))^(2*I*x*Pi*csgn(I*(ln(x)-x)/ln(x)))*ln(x)^(-4*x*ln(x-ln(x)))*(x-ln(x))^(2*I*x*Pi*csgn(I/ln(x)))*ln(x)^(2*I*x*Pi*csgn(I*(ln(x)-x)))*ln(x)^(-2*I*x*Pi*csgn(I/ln(x)))*(x-ln(x))^(-2*I*x*Pi*csgn(I*(ln(x)-x)/ln(x))*csgn(I/ln(x))*csgn(I*(ln(x)-x)))*(x-ln(x))^(-2*I*x*Pi*csgn(I*(ln(x)-x)))*ln(x)^(-2*I*x*Pi*csgn(I*(ln(x)-x)/ln(x)))*exp(-x*Pi^2*csgn(I*(ln(x)-x)/ln(x))^5*csgn(I/ln(x))+x*Pi^2*csgn(I*(ln(x)-x)/ln(x))^5*csgn(I*(ln(x)-x))-1/2*x*Pi^2*csgn(I*(ln(x)-x)/ln(x))^4*csgn(I/ln(x))^2-1/2*x*Pi^2*csgn(I*(ln(x)-x)/ln(x))^4*csgn(I*(ln(x)-x))^2+2*x*ln(ln(x))^2+2*x*ln(x-ln(x))^2-1/2*x*Pi^2*csgn(I*(ln(x)-x)/ln(x))^6+2*x*Pi^2*csgn(I*(ln(x)-x)/ln(x))^4*csgn(I/ln(x))*csgn(I*(ln(x)-x))+x*Pi^2*csgn(I*(ln(x)-x)/ln(x))^3*csgn(I/ln(x))^2*csgn(I*(ln(x)-x))-x*Pi^2*csgn(I*(ln(x)-x)/ln(x))^3*csgn(I*(ln(x)-x))^2*csgn(I/ln(x))-1/2*x*Pi^2*csgn(I*(ln(x)-x)/ln(x))^2*csgn(I/ln(x))^2*csgn(I*(ln(x)-x))^2-exp(1)+x^2-2*x)","C"
1807,1,18,20,0.037000," ","int(((2*x+1)*exp(1)-289*x-144)/(x*exp(1)-144*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(2 \,{\mathrm e}-289\right) x}{{\mathrm e}-144}+\ln \left(x \right)$&$18$\\ default&$\frac{2 x \,{\mathrm e}-289 x +\left({\mathrm e}-144\right) \ln \left(x \right)}{{\mathrm e}-144}$&$24$\\ risch&$\frac{2 x \,{\mathrm e}}{{\mathrm e}-144}-\frac{289 x}{{\mathrm e}-144}+\ln \left(x \right)$&$24$\\ \hline \end{longtable}"," ",0,"(2*exp(1)-289)/(exp(1)-144)*x+ln(x)","A"
1808,1,45,23,0.082000," ","int(((-640000*x^2+1280000*x)*exp(2)^2*exp(x)^3+(1280000*x^3-4480000*x^2+5120000*x-2560000)*exp(2)^2*exp(x)^2)/(exp(x)^2-2*exp(x)*x+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2560000 \,{\mathrm e}^{4} {\mathrm e}^{2 x}-2560000 \,{\mathrm e}^{4} {\mathrm e}^{2 x} x +640000 \,{\mathrm e}^{4} {\mathrm e}^{2 x} x^{2}}{x -{\mathrm e}^{x}}$&$45$\\ risch&$-640000 x^{3} {\mathrm e}^{4}+2560000 x^{2} {\mathrm e}^{4}-2560000 x \,{\mathrm e}^{4}+\left(-640000 x^{2} {\mathrm e}^{4}+2560000 x \,{\mathrm e}^{4}-2560000 \,{\mathrm e}^{4}\right) {\mathrm e}^{x}+\frac{640000 \left(x^{2}-4 x +4\right) {\mathrm e}^{4} x^{2}}{x -{\mathrm e}^{x}}$&$64$\\ \hline \end{longtable}"," ",0,"(2560000*exp(2)^2*exp(x)^2-2560000*exp(2)^2*exp(x)^2*x+640000*exp(2)^2*exp(x)^2*x^2)/(x-exp(x))","A"
1809,1,151,25,0.120000," ","int(((x^3+4*x^2-20*x)*exp(exp(5)-x-5)+3*x^2+8*x-20)*exp(ln(-x^3-4*x^2+20*x)-exp(exp(5)-x-5))/(x^3+4*x^2-20*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \left(x^{2}+4 x -20\right) {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i x \left(x^{2}+4 x -20\right)\right)^{3}}{2}+\frac{i \pi  \mathrm{csgn}\left(i x \left(x^{2}+4 x -20\right)\right)^{2} \mathrm{csgn}\left(i x \right)}{2}+\frac{i \pi  \mathrm{csgn}\left(i x \left(x^{2}+4 x -20\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+4 x -20\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}+4 x -20\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x^{2}+4 x -20\right)\right)}{2}-i \pi  \mathrm{csgn}\left(i x \left(x^{2}+4 x -20\right)\right)^{2}-{\mathrm e}^{{\mathrm e}^{5}-x -5}}$&$151$\\ \hline \end{longtable}"," ",0,"-x*(x^2+4*x-20)*exp(1/2*I*Pi*csgn(I*x*(x^2+4*x-20))^3+1/2*I*Pi*csgn(I*x*(x^2+4*x-20))^2*csgn(I*x)+1/2*I*Pi*csgn(I*x*(x^2+4*x-20))^2*csgn(I*(x^2+4*x-20))-1/2*I*Pi*csgn(I*x*(x^2+4*x-20))*csgn(I*x)*csgn(I*(x^2+4*x-20))-I*Pi*csgn(I*x*(x^2+4*x-20))^2-exp(exp(5)-x-5))","C"
1810,1,21,18,0.072000," ","int(((x^3-6*x^2+12*x-6)*exp(x)^4-256*x^3+1536*x^2-3072*x+2048)/(x^3-6*x^2+12*x-8)/exp(x)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{1}{x^{2}-4 x +4}+64 \,{\mathrm e}^{-4 x}$&$21$\\ norman&$\frac{\left(256+x^{3} {\mathrm e}^{4 x}+15 \,{\mathrm e}^{4 x}-12 x \,{\mathrm e}^{4 x}-256 x +64 x^{2}\right) {\mathrm e}^{-4 x}}{\left(x -2\right)^{2}}$&$42$\\ default&$x -\frac{1}{\left(x -2\right)^{2}}+\frac{1024 \,{\mathrm e}^{-4 x} \left(4 x -9\right)}{x^{2}-4 x +4}-\frac{3072 \,{\mathrm e}^{-4 x} \left(3 x -7\right)}{x^{2}-4 x +4}+\frac{3072 \,{\mathrm e}^{-4 x} \left(2 x -5\right)}{x^{2}-4 x +4}+64 \,{\mathrm e}^{-4 x}-\frac{1024 \,{\mathrm e}^{-4 x} \left(x -3\right)}{x^{2}-4 x +4}$&$98$\\ \hline \end{longtable}"," ",0,"x-1/(x^2-4*x+4)+64*exp(-4*x)","A"
1811,1,53,14,0.024000," ","int(2*x*ln(x^2)^2+1/9*(54*x^2+108*x+22)*ln(x^2)+4*x^3+16*x^2+188/9*x+88/9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{44 x}{9}+\frac{58 x^{2}}{9}+4 x^{3}+x^{4}+x^{2} \ln \left(x^{2}\right)^{2}+4 x^{2} \ln \left(x^{2}\right)+2 x^{3} \ln \left(x^{2}\right)+\frac{22 x \ln \left(x^{2}\right)}{9}$&$53$\\ norman&$\frac{44 x}{9}+\frac{58 x^{2}}{9}+4 x^{3}+x^{4}+x^{2} \ln \left(x^{2}\right)^{2}+4 x^{2} \ln \left(x^{2}\right)+2 x^{3} \ln \left(x^{2}\right)+\frac{22 x \ln \left(x^{2}\right)}{9}$&$53$\\ risch&$x^{2} \ln \left(x^{2}\right)^{2}-2 x^{2} \ln \left(x^{2}\right)+\frac{58 x^{2}}{9}+\frac{\left(18 x^{3}+54 x^{2}+22 x \right) \ln \left(x^{2}\right)}{9}+4 x^{3}+\frac{44 x}{9}+x^{4}$&$57$\\ \hline \end{longtable}"," ",0,"44/9*x+58/9*x^2+4*x^3+x^4+x^2*ln(x^2)^2+4*x^2*ln(x^2)+2*x^3*ln(x^2)+22/9*x*ln(x^2)","B"
1812,1,25,30,0.080000," ","int(((-2*exp(x)^2-2*x)*ln(x)^2+(-8*x*exp(x)^2-8*x^2+2*x)*ln(x)-8*exp(x)^2*x^2-8*x^3+2*x^2-x)/(ln(x)^2+4*x*ln(x)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-{\mathrm e}^{2 x}+\frac{x^{2}}{2 x +\ln \left(x \right)}$&$25$\\ default&$\frac{x^{2}-2 x^{3}-x^{2} \ln \left(x \right)}{2 x +\ln \left(x \right)}+\frac{-2 x \,{\mathrm e}^{2 x}-{\mathrm e}^{2 x} \ln \left(x \right)}{2 x +\ln \left(x \right)}$&$52$\\ \hline \end{longtable}"," ",0,"-x^2-exp(2*x)+x^2/(2*x+ln(x))","A"
1813,1,28,26,0.067000," ","int(((-2*x^2-7*x)*exp(2*x)*ln(-2*x)+(-20*x^2-71*x-4)*exp(2*x)+4*x^3+32*x^2+68*x)/(4*x^3+32*x^2+64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}-17-\frac{\ln \left(-2 x \right) {\mathrm e}^{2 x}}{4}-\frac{5 \,{\mathrm e}^{2 x}}{2}}{4+x}$&$28$\\ default&$\frac{-\ln \left(-2 x \right) {\mathrm e}^{2 x}-10 \,{\mathrm e}^{2 x}}{4 x +16}+x -\frac{1}{4+x}$&$34$\\ risch&$-\frac{{\mathrm e}^{2 x} \ln \left(-2 x \right)}{4 \left(4+x \right)}+\frac{2 x^{2}+8 x -5 \,{\mathrm e}^{2 x}-2}{2 x +8}$&$40$\\ \hline \end{longtable}"," ",0,"(x^2-17-1/4*ln(-2*x)*exp(2*x)-5/2*exp(2*x))/(4+x)","A"
1814,1,238,29,0.102000," ","int((320*x^2*ln(x)^2+(-768*x-1600)*ln(x)-64*x-1216)/(5*x^3*ln(x)^2+(-11*x^2+25*x)*ln(x)+6*x-30)/ln((-20*x*ln(x)+24)/(x^2*ln(x)+5-x))^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{256}{\left(4 \ln \left(2\right)+2 \ln \left(5\right)+2 i \pi +2 \ln \left(x \ln \left(x \right)-\frac{6}{5}\right)-2 \ln \left(x^{2} \ln \left(x \right)+5-x \right)-i \pi  \,\mathrm{csgn}\left(i \left(x \ln \left(x \right)-\frac{6}{5}\right)\right) \mathrm{csgn}\left(\frac{i}{x^{2} \ln \left(x \right)+5-x}\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)-\frac{6}{5}\right)}{x^{2} \ln \left(x \right)+5-x}\right)+i \pi  \,\mathrm{csgn}\left(i \left(x \ln \left(x \right)-\frac{6}{5}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)-\frac{6}{5}\right)}{x^{2} \ln \left(x \right)+5-x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{2} \ln \left(x \right)+5-x}\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)-\frac{6}{5}\right)}{x^{2} \ln \left(x \right)+5-x}\right)^{2}-2 i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)-\frac{6}{5}\right)}{x^{2} \ln \left(x \right)+5-x}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)-\frac{6}{5}\right)}{x^{2} \ln \left(x \right)+5-x}\right)^{3}\right)^{4}}$&$238$\\ \hline \end{longtable}"," ",0,"256/(4*ln(2)+2*ln(5)+2*I*Pi+2*ln(x*ln(x)-6/5)-2*ln(x^2*ln(x)+5-x)-I*Pi*csgn(I*(x*ln(x)-6/5))*csgn(I/(x^2*ln(x)+5-x))*csgn(I*(x*ln(x)-6/5)/(x^2*ln(x)+5-x))+I*Pi*csgn(I*(x*ln(x)-6/5))*csgn(I*(x*ln(x)-6/5)/(x^2*ln(x)+5-x))^2+I*Pi*csgn(I/(x^2*ln(x)+5-x))*csgn(I*(x*ln(x)-6/5)/(x^2*ln(x)+5-x))^2-2*I*Pi*csgn(I*(x*ln(x)-6/5)/(x^2*ln(x)+5-x))^2+I*Pi*csgn(I*(x*ln(x)-6/5)/(x^2*ln(x)+5-x))^3)^4","C"
1815,1,20,19,0.087000," ","int(1/2*(-4*exp(x^2)*x-9*x^2-2)*exp(exp(x^2)+3/2*x^3+x-2)+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x -{\mathrm e}^{{\mathrm e}^{x^{2}}+\frac{3 x^{3}}{2}+x -2}$&$20$\\ norman&$3 x -{\mathrm e}^{{\mathrm e}^{x^{2}}+\frac{3 x^{3}}{2}+x -2}$&$20$\\ risch&$3 x -{\mathrm e}^{{\mathrm e}^{x^{2}}+\frac{3 x^{3}}{2}+x -2}$&$20$\\ \hline \end{longtable}"," ",0,"3*x-exp(exp(x^2)+3/2*x^3+x-2)","A"
1816,1,19,19,0.059000," ","int(((100*x^5+50*x)*exp(x^4)+250*x-100)/(x^4*exp(x^4)^2+(10*x^4-8*x^3)*exp(x^4)+25*x^4-40*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{25}{x \left(x \,{\mathrm e}^{x^{4}}+5 x -4\right)}$&$19$\\ risch&$-\frac{25}{x \left(x \,{\mathrm e}^{x^{4}}+5 x -4\right)}$&$19$\\ \hline \end{longtable}"," ",0,"-25/x/(x*exp(x^4)+5*x-4)","A"
1817,1,25,21,0.082000," ","int(1/1200*((-x^3-401*x^2+4*x-1600)*exp(1/400*x)-800*x^3-400*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}}{3}-\frac{x}{3}-\frac{\left(x^{2}+x -4\right) {\mathrm e}^{\frac{x}{400}}}{3 x}$&$25$\\ derivativedivides&$-\frac{x^{2}}{3}-\frac{x}{3}+\frac{4 \,{\mathrm e}^{\frac{x}{400}}}{3 x}-\frac{{\mathrm e}^{\frac{x}{400}} x}{3}-\frac{{\mathrm e}^{\frac{x}{400}}}{3}$&$32$\\ default&$-\frac{x^{2}}{3}-\frac{x}{3}+\frac{4 \,{\mathrm e}^{\frac{x}{400}}}{3 x}-\frac{{\mathrm e}^{\frac{x}{400}} x}{3}-\frac{{\mathrm e}^{\frac{x}{400}}}{3}$&$32$\\ norman&$\frac{-\frac{x^{2}}{3}-\frac{x^{3}}{3}-\frac{{\mathrm e}^{\frac{x}{400}} x}{3}-\frac{{\mathrm e}^{\frac{x}{400}} x^{2}}{3}+\frac{4 \,{\mathrm e}^{\frac{x}{400}}}{3}}{x}$&$38$\\ \hline \end{longtable}"," ",0,"-1/3*x^2-1/3*x-1/3*(x^2+x-4)/x*exp(1/400*x)","A"
1818,1,21,31,0.458000," ","int(((8*x^6+52*x^5+4*x^4-612*x^3-1402*x^2-869*x-8)*exp(x^4+12*x^3+54*x^2+108*x+81)+4*x-5)*exp(ln(-2*x^2+5*x+8)+x*exp(x^4+12*x^3+54*x^2+108*x+81))/(2*x^2-5*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-2 x^{2}+5 x +8\right) {\mathrm e}^{{\mathrm e}^{\left(3+x \right)^{4}} x}$&$21$\\ \hline \end{longtable}"," ",0,"(-2*x^2+5*x+8)*exp(exp((3+x)^4)*x)","A"
1819,1,24,28,0.195000," ","int(((2*exp(x)*x^2-2*x^2+2*x)*ln(-ln(1/x)+exp(x)-x)+(x^2-4)*ln(1/x)+(-x^2+4)*exp(x)+x^3-4*x)/(x^2*ln(1/x)-exp(x)*x^2+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\ln \left(x \right)+{\mathrm e}^{x}-x \right)^{2}+\frac{x^{2}+4}{x}$&$24$\\ \hline \end{longtable}"," ",0,"-ln(ln(x)+exp(x)-x)^2+1/x*(x^2+4)","A"
1820,1,14,17,0.023000," ","int(((4*x*ln(x)*ln(ln(x))-2*x)*exp(x^2/ln(ln(x)))^2+ln(x)*ln(ln(x))^2)/ln(x)/ln(ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{2 x^{2}}{\ln \left(\ln \left(x \right)\right)}}$&$14$\\ default&$x +{\mathrm e}^{\frac{2 x^{2}}{\ln \left(\ln \left(x \right)\right)}}$&$15$\\ \hline \end{longtable}"," ",0,"x+exp(2*x^2/ln(ln(x)))","A"
1821,1,40,25,0.070000," ","int((-12*exp(2*ln(5)-x^2+5)-24*x^2-12)/((ln(5)-12*x)*exp(2*ln(5)-x^2+5)-12*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\ln \left({\mathrm e}^{2 \ln \left(5\right)-x^{2}+5} \ln \left(5\right)-12 x \,{\mathrm e}^{2 \ln \left(5\right)-x^{2}+5}-12 x \right)$&$40$\\ risch&$\ln \left(-\ln \left(5\right)+12 x \right)+x^{2}-2 \ln \left(5\right)-5+\ln \left(25 \,{\mathrm e}^{-x^{2}+5}-\frac{12 x}{\ln \left(5\right)-12 x}\right)$&$42$\\ \hline \end{longtable}"," ",0,"x^2+ln(exp(2*ln(5)-x^2+5)*ln(5)-12*x*exp(2*ln(5)-x^2+5)-12*x)","A"
1822,1,37,27,0.355000," ","int(((x^3-5*x^2+7*x)*exp(x)*ln(3/x)+(-x^2+5*x-4)*exp(x)-x^3+2*x^2-x)/((x^3-5*x^2+4*x)*exp(x)*ln(3/x)-x^4+2*x^3-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x -1\right)+\ln \left(-x \,{\mathrm e}^{x} \ln \left(\frac{3}{x}\right)+x^{2}+4 \,{\mathrm e}^{x} \ln \left(\frac{3}{x}\right)-x \right)$&$37$\\ default&$-\ln \left(x -1\right)+\ln \left(x \,{\mathrm e}^{x} \ln \left(x \right)-{\mathrm e}^{x} x \left(\ln \left(\frac{3}{x}\right)+\ln \left(x \right)\right)+x^{2}-4 \,{\mathrm e}^{x} \ln \left(x \right)+4 \,{\mathrm e}^{x} \left(\ln \left(\frac{3}{x}\right)+\ln \left(x \right)\right)-x \right)$&$55$\\ risch&$x +\ln \left(x -4\right)-\ln \left(x -1\right)+\ln \left(\ln \left(x \right)+\frac{i \left(2 i {\mathrm e}^{x} \ln \left(3\right) x -8 i {\mathrm e}^{x} \ln \left(3\right)-2 i x^{2}+2 i x \right) {\mathrm e}^{-x}}{2 x -8}\right)$&$55$\\ \hline \end{longtable}"," ",0,"-ln(x-1)+ln(-x*exp(x)*ln(3/x)+x^2+4*exp(x)*ln(3/x)-x)","A"
1823,1,18,16,0.028000," ","int((125*x*ln(x)+25*exp(x)*x^3-875*x)/(250*ln(x)^3+(-150*exp(x)*x-4500)*ln(x)^2+(30*exp(x)^2*x^2+1800*exp(x)*x+27000)*ln(x)-2*x^3*exp(x)^3-180*exp(x)^2*x^2-5400*exp(x)*x-54000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 x^{2}}{4 \left({\mathrm e}^{x} x -5 \ln \left(x \right)+30\right)^{2}}$&$18$\\ \hline \end{longtable}"," ",0,"25/4*x^2/(exp(x)*x-5*ln(x)+30)^2","A"
1824,1,166,26,0.133000," ","int(((-18*x^2*exp(16)*ln(x)+(-9*x^3+3*x^2-27)*exp(16))*ln(x^2)+(18*x^2+54)*exp(16)*ln(x)+(6*x^3-12*x^2-36)*exp(16))/((9*x^5+54*x^3+81*x)*ln(x)^2+(6*x^6-12*x^5+18*x^4-72*x^3-108*x)*ln(x)+x^7-4*x^6+4*x^5-12*x^4+24*x^3+36*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{16}}{x^{2}+3}-\frac{\left(3 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-6 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+3 i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}+9 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}-18 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+9 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 x^{3}-8 x^{2}-24\right) {\mathrm e}^{16}}{2 \left(x^{2}+3\right) \left(3 x^{2} \ln \left(x \right)+x^{3}-2 x^{2}+9 \ln \left(x \right)-6\right)}$&$166$\\ \hline \end{longtable}"," ",0,"2*exp(16)/(x^2+3)-1/2*(3*I*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)-6*I*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2+3*I*Pi*x^2*csgn(I*x^2)^3+9*I*Pi*csgn(I*x)^2*csgn(I*x^2)-18*I*Pi*csgn(I*x)*csgn(I*x^2)^2+9*I*Pi*csgn(I*x^2)^3+4*x^3-8*x^2-24)*exp(16)/(x^2+3)/(3*x^2*ln(x)+x^3-2*x^2+9*ln(x)-6)","C"
1825,1,72,25,0.070000," ","int((((2*x^2*ln(x)-2*x^3-10*x^2)*ln(ln(x)-5-x)-2*x^2+2*x)*ln(ln(ln(x)-5-x))+((2*x^2*exp(1/5)+2*x^3+10*x^2-3)*ln(x)+(-2*x^3-10*x^2)*exp(1/5)-2*x^4-20*x^3-50*x^2+3*x+15)*ln(ln(x)-5-x)+(-2*x^2+2*x)*exp(1/5)-2*x^3-6*x^2+8*x)/(x^2*ln(x)-x^3-5*x^2)/ln(ln(x)-5-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\ln \left(x \right)-5-x \right)\right)^{2}+2 \ln \left(\ln \left(\ln \left(x \right)-5-x \right)\right) x +\frac{2 \ln \left(\ln \left(\ln \left(x \right)-5-x \right)\right) x \,{\mathrm e}^{\frac{1}{5}}+2 x^{2} {\mathrm e}^{\frac{1}{5}}+x^{3}+8 \ln \left(\ln \left(\ln \left(x \right)-5-x \right)\right) x +10 x^{2}+3}{x}$&$72$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(x)-5-x))^2+2*ln(ln(ln(x)-5-x))*x+(2*ln(ln(ln(x)-5-x))*x*exp(1/5)+2*x^2*exp(1/5)+x^3+8*ln(ln(ln(x)-5-x))*x+10*x^2+3)/x","B"
1826,1,63,36,0.063000," ","int((-x*ln(x)^2+(x^4-6*x^3+11*x^2-5*x-2)*ln(x)+(2*x^6-8*x^5+32*x^3-32*x^2)*exp(x)+2*x^7-42*x^6+262*x^5-777*x^4+1250*x^3-1075*x^2+372*x+36)/(2*x^4-12*x^3+24*x^2-16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{2}}{4 x^{2}-16 x +16}+\frac{\left(x^{2}-2 x +1\right) \ln \left(x \right)}{2 x -4}+\frac{x^{4}}{4}-5 x^{3}+\frac{29 x^{2}}{2}-27 x -2 \ln \left(x \right)+{\mathrm e}^{x} x^{2}$&$63$\\ \hline \end{longtable}"," ",0,"1/4/(x^2-4*x+4)*ln(x)^2+1/2*(x^2-2*x+1)/(x-2)*ln(x)+1/4*x^4-5*x^3+29/2*x^2-27*x-2*ln(x)+exp(x)*x^2","A"
1827,1,34,30,0.097000," ","int(1/9*((-160*x^3-480*x^2)*exp(1/3*x)^2+(-160*x^4-1440*x^3)*exp(1/3*x)-960*x^4+90*x^2+9)*exp(-80/3*x^2*exp(1/3*x)^2-160/3*x^3*exp(1/3*x)-80/3*x^4+5*x^2-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-\frac{80 x^{2} {\mathrm e}^{\frac{2 x}{3}}}{3}-\frac{160 x^{3} {\mathrm e}^{\frac{x}{3}}}{3}-\frac{80 x^{4}}{3}+5 x^{2}-4}$&$34$\\ norman&$x \,{\mathrm e}^{-\frac{80 x^{2} {\mathrm e}^{\frac{2 x}{3}}}{3}-\frac{160 x^{3} {\mathrm e}^{\frac{x}{3}}}{3}-\frac{80 x^{4}}{3}+5 x^{2}-4}$&$36$\\ \hline \end{longtable}"," ",0,"x*exp(-80/3*x^2*exp(2/3*x)-160/3*x^3*exp(1/3*x)-80/3*x^4+5*x^2-4)","A"
1828,1,19,20,0.034000," ","int(-5*exp(5+x)-1/2*exp(x)+1/4*x-5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-5 \,{\mathrm e}^{5}-\frac{1}{2}\right) {\mathrm e}^{x}-5 x +\frac{x^{2}}{8}$&$19$\\ default&$-5 x +\frac{x^{2}}{8}-\frac{{\mathrm e}^{x}}{2}-5 \,{\mathrm e}^{5+x}$&$20$\\ risch&$-5 x +\frac{x^{2}}{8}-\frac{{\mathrm e}^{x}}{2}-5 \,{\mathrm e}^{5+x}$&$20$\\ \hline \end{longtable}"," ",0,"(-5*exp(5)-1/2)*exp(x)-5*x+1/8*x^2","A"
1829,1,23,26,0.058000," ","int((((-x^3-x^2+3*x)*exp(1)*exp(x)+(-x^2-3)*exp(1))*exp(exp(x))+(-4*x^3-27*x^2-75)*exp(1))/((x^4+2*x^3-5*x^2-6*x+9)*exp(exp(x))^2+(4*x^5+58*x^4+80*x^3-274*x^2-264*x+450)*exp(exp(x))+4*x^6+108*x^5+805*x^4+726*x^3-3689*x^2-2850*x+5625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}}{\left(x^{2}+x -3\right) \left(25+2 x +{\mathrm e}^{{\mathrm e}^{x}}\right)}$&$23$\\ \hline \end{longtable}"," ",0,"x*exp(1)/(x^2+x-3)/(25+2*x+exp(exp(x)))","A"
1830,1,33,29,0.164000," ","int((((-25*x^2*exp(4)^4+10*x*exp(3)*exp(4)^2-exp(3)^2)*exp(5)-x^2*exp(3))*ln(x)+(-25*x^2*exp(4)^4+10*x*exp(3)*exp(4)^2-exp(3)^2)*exp(5)-5*x^3*exp(4)^2+x^2*exp(3))/((25*x^3*exp(4)^4-10*x^2*exp(3)*exp(4)^2+x*exp(3)^2)*exp(5)+5*x^4*exp(4)^2-x^3*exp(3))/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(-5 x^{2} {\mathrm e}^{5}+x \right)+\ln \left(-5 \,{\mathrm e}^{13} x +{\mathrm e}^{8}-x^{2}\right)-\ln \left(\ln \left(x \right)\right)$&$33$\\ norman&$-\ln \left(x \right)-\ln \left(\ln \left(x \right)\right)-\ln \left(5 x \,{\mathrm e}^{8}-{\mathrm e}^{3}\right)+\ln \left(5 \,{\mathrm e}^{5} {\mathrm e}^{8} x -{\mathrm e}^{3} {\mathrm e}^{5}+x^{2}\right)$&$46$\\ default&$-\ln \left(\ln \left(x \right)\right)-\left(\munderset{\textit{\_R} =\RootOf \left(5 \textit{\_Z}^{3} {\mathrm e}^{8}+\left(25 \,{\mathrm e}^{21}-{\mathrm e}^{3}\right) \textit{\_Z}^{2}-10 \textit{\_Z} \,{\mathrm e}^{16}+{\mathrm e}^{11}\right)}{\sum}\frac{\textit{\_R} \left(-5 \textit{\_R} \,{\mathrm e}^{8}+2 \,{\mathrm e}^{3}\right) \ln \left(x -\textit{\_R} \right)}{50 \textit{\_R} \,{\mathrm e}^{21}-10 \,{\mathrm e}^{16}+15 \textit{\_R}^{2} {\mathrm e}^{8}-2 \textit{\_R} \,{\mathrm e}^{3}}\right)-\ln \left(x \right)$&$87$\\ \hline \end{longtable}"," ",0,"-ln(-5*x^2*exp(5)+x)+ln(-5*exp(13)*x+exp(8)-x^2)-ln(ln(x))","A"
1831,1,56,38,0.102000," ","int(((-9*exp(x)^2+(-18*ln(5)+18*exp(4)+54)*exp(x)-9*ln(5)^2+(18*exp(4)+54)*ln(5)-9*exp(4)^2-54*exp(4)+x-80)*ln(-9*exp(x)^2+(-18*ln(5)+18*exp(4)+54)*exp(x)-9*ln(5)^2+(18*exp(4)+54)*ln(5)-9*exp(4)^2-54*exp(4)+x-80)+18*x*exp(x)^2+(18*x*ln(5)-18*x*exp(4)-54*x)*exp(x)-x)/((5625*exp(x)^2+(11250*ln(5)-11250*exp(4)-33750)*exp(x)+5625*ln(5)^2+(-11250*exp(4)-33750)*ln(5)+5625*exp(4)^2+33750*exp(4)-625*x+50000)*ln(-9*exp(x)^2+(-18*ln(5)+18*exp(4)+54)*exp(x)-9*ln(5)^2+(18*exp(4)+54)*ln(5)-9*exp(4)^2-54*exp(4)+x-80)^2+(450*x*exp(x)^2+(900*x*ln(5)-900*x*exp(4)-2700*x)*exp(x)+450*x*ln(5)^2+(-900*x*exp(4)-2700*x)*ln(5)+450*x*exp(4)^2+2700*x*exp(4)-50*x^2+4000*x)*ln(-9*exp(x)^2+(-18*ln(5)+18*exp(4)+54)*exp(x)-9*ln(5)^2+(18*exp(4)+54)*ln(5)-9*exp(4)^2-54*exp(4)+x-80)+9*exp(x)^2*x^2+(18*x^2*ln(5)-18*x^2*exp(4)-54*x^2)*exp(x)+9*x^2*ln(5)^2+(-18*x^2*exp(4)-54*x^2)*ln(5)+9*x^2*exp(4)^2+54*x^2*exp(4)-x^3+80*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{25 \left(x +25 \ln \left(-9 \,{\mathrm e}^{2 x}+\left(-18 \ln \left(5\right)+18 \,{\mathrm e}^{4}+54\right) {\mathrm e}^{x}-9 \ln \left(5\right)^{2}+\left(18 \,{\mathrm e}^{4}+54\right) \ln \left(5\right)-9 \,{\mathrm e}^{8}-54 \,{\mathrm e}^{4}+x -80\right)\right)}$&$56$\\ \hline \end{longtable}"," ",0,"-1/25*x/(x+25*ln(-9*exp(2*x)+(-18*ln(5)+18*exp(4)+54)*exp(x)-9*ln(5)^2+(18*exp(4)+54)*ln(5)-9*exp(8)-54*exp(4)+x-80))","A"
1832,1,21,27,0.190000," ","int((-6*x^4-32*x^3-18*x^2+48*x+120)*exp(4/(2+x))/(x^8+4*x^7-2*x^6-48*x^5-111*x^4+12*x^3+468*x^2+864*x+576),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 \,{\mathrm e}^{\frac{4}{2+x}}}{x^{3}-3 x -12}$&$21$\\ risch&$\frac{2 \,{\mathrm e}^{\frac{4}{2+x}}}{x^{3}-3 x -12}$&$21$\\ norman&$\frac{2 x \,{\mathrm e}^{\frac{4}{2+x}}+4 \,{\mathrm e}^{\frac{4}{2+x}}}{x^{4}+2 x^{3}-3 x^{2}-18 x -24}$&$44$\\ derivativedivides&$\frac{4 \,{\mathrm e}^{\frac{4}{2+x}} \left(\frac{112}{\left(2+x \right)^{2}}+\frac{40}{2+x}-32\right)}{35 \left(\frac{448}{\left(2+x \right)^{3}}-\frac{288}{\left(2+x \right)^{2}}+\frac{192}{2+x}-32\right)}+\frac{4 \left(\munderset{\textit{\_R1} =\RootOf \left(7 \textit{\_Z}^{3}-18 \textit{\_Z}^{2}+48 \textit{\_Z} -32\right)}{\sum}\frac{\left(7 \textit{\_R1}^{2}+3 \textit{\_R1} -70\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -\frac{4}{2+x}+\textit{\_R1} \right)}{7 \textit{\_R1}^{2}-12 \textit{\_R1} +16}\right)}{105}-\frac{32 \,{\mathrm e}^{\frac{4}{2+x}} \left(\frac{112}{\left(2+x \right)^{2}}-\frac{80}{2+x}+8\right)}{105 \left(\frac{448}{\left(2+x \right)^{3}}-\frac{288}{\left(2+x \right)^{2}}+\frac{192}{2+x}-32\right)}-\frac{32 \left(\munderset{\textit{\_R1} =\RootOf \left(7 \textit{\_Z}^{3}-18 \textit{\_Z}^{2}+48 \textit{\_Z} -32\right)}{\sum}\frac{\textit{\_R1} \left(7 \textit{\_R1} -27\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -\frac{4}{2+x}+\textit{\_R1} \right)}{7 \textit{\_R1}^{2}-12 \textit{\_R1} +16}\right)}{315}+\frac{2 \,{\mathrm e}^{\frac{4}{2+x}} \left(\frac{16}{\left(2+x \right)^{2}}+\frac{80}{2+x}-16\right)}{7 \left(\frac{448}{\left(2+x \right)^{3}}-\frac{288}{\left(2+x \right)^{2}}+\frac{192}{2+x}-32\right)}+\frac{2 \left(\munderset{\textit{\_R1} =\RootOf \left(7 \textit{\_Z}^{3}-18 \textit{\_Z}^{2}+48 \textit{\_Z} -32\right)}{\sum}\frac{\left(\textit{\_R1}^{2}+34 \textit{\_R1} -20\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -\frac{4}{2+x}+\textit{\_R1} \right)}{7 \textit{\_R1}^{2}-12 \textit{\_R1} +16}\right)}{21}-\frac{12 \,{\mathrm e}^{\frac{4}{2+x}} \left(\frac{1264}{\left(2+x \right)^{2}}-\frac{320}{2+x}+16\right)}{245 \left(\frac{448}{\left(2+x \right)^{3}}-\frac{288}{\left(2+x \right)^{2}}+\frac{192}{2+x}-32\right)}-\frac{2 \left(\munderset{\textit{\_R1} =\RootOf \left(7 \textit{\_Z}^{3}-18 \textit{\_Z}^{2}+48 \textit{\_Z} -32\right)}{\sum}\frac{\left(263 \textit{\_R1}^{2}-48 \textit{\_R1} -80\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -\frac{4}{2+x}+\textit{\_R1} \right)}{7 \textit{\_R1}^{2}-12 \textit{\_R1} +16}\right)}{245}-\frac{{\mathrm e}^{\frac{4}{2+x}}}{7}+\frac{4 \,{\mathrm e}^{\frac{4}{2+x}} \left(\frac{6896}{\left(2+x \right)^{2}}-\frac{7360}{2+x}+1264\right)}{735 \left(\frac{448}{\left(2+x \right)^{3}}-\frac{288}{\left(2+x \right)^{2}}+\frac{192}{2+x}-32\right)}+\frac{32 \left(\munderset{\textit{\_R1} =\RootOf \left(7 \textit{\_Z}^{3}-18 \textit{\_Z}^{2}+48 \textit{\_Z} -32\right)}{\sum}\frac{\left(172 \textit{\_R1}^{2}-447 \textit{\_R1} +270\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -\frac{4}{2+x}+\textit{\_R1} \right)}{7 \textit{\_R1}^{2}-12 \textit{\_R1} +16}\right)}{2205}$&$546$\\ default&$\frac{4 \,{\mathrm e}^{\frac{4}{2+x}} \left(\frac{112}{\left(2+x \right)^{2}}+\frac{40}{2+x}-32\right)}{35 \left(\frac{448}{\left(2+x \right)^{3}}-\frac{288}{\left(2+x \right)^{2}}+\frac{192}{2+x}-32\right)}+\frac{4 \left(\munderset{\textit{\_R1} =\RootOf \left(7 \textit{\_Z}^{3}-18 \textit{\_Z}^{2}+48 \textit{\_Z} -32\right)}{\sum}\frac{\left(7 \textit{\_R1}^{2}+3 \textit{\_R1} -70\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -\frac{4}{2+x}+\textit{\_R1} \right)}{7 \textit{\_R1}^{2}-12 \textit{\_R1} +16}\right)}{105}-\frac{32 \,{\mathrm e}^{\frac{4}{2+x}} \left(\frac{112}{\left(2+x \right)^{2}}-\frac{80}{2+x}+8\right)}{105 \left(\frac{448}{\left(2+x \right)^{3}}-\frac{288}{\left(2+x \right)^{2}}+\frac{192}{2+x}-32\right)}-\frac{32 \left(\munderset{\textit{\_R1} =\RootOf \left(7 \textit{\_Z}^{3}-18 \textit{\_Z}^{2}+48 \textit{\_Z} -32\right)}{\sum}\frac{\textit{\_R1} \left(7 \textit{\_R1} -27\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -\frac{4}{2+x}+\textit{\_R1} \right)}{7 \textit{\_R1}^{2}-12 \textit{\_R1} +16}\right)}{315}+\frac{2 \,{\mathrm e}^{\frac{4}{2+x}} \left(\frac{16}{\left(2+x \right)^{2}}+\frac{80}{2+x}-16\right)}{7 \left(\frac{448}{\left(2+x \right)^{3}}-\frac{288}{\left(2+x \right)^{2}}+\frac{192}{2+x}-32\right)}+\frac{2 \left(\munderset{\textit{\_R1} =\RootOf \left(7 \textit{\_Z}^{3}-18 \textit{\_Z}^{2}+48 \textit{\_Z} -32\right)}{\sum}\frac{\left(\textit{\_R1}^{2}+34 \textit{\_R1} -20\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -\frac{4}{2+x}+\textit{\_R1} \right)}{7 \textit{\_R1}^{2}-12 \textit{\_R1} +16}\right)}{21}-\frac{12 \,{\mathrm e}^{\frac{4}{2+x}} \left(\frac{1264}{\left(2+x \right)^{2}}-\frac{320}{2+x}+16\right)}{245 \left(\frac{448}{\left(2+x \right)^{3}}-\frac{288}{\left(2+x \right)^{2}}+\frac{192}{2+x}-32\right)}-\frac{2 \left(\munderset{\textit{\_R1} =\RootOf \left(7 \textit{\_Z}^{3}-18 \textit{\_Z}^{2}+48 \textit{\_Z} -32\right)}{\sum}\frac{\left(263 \textit{\_R1}^{2}-48 \textit{\_R1} -80\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -\frac{4}{2+x}+\textit{\_R1} \right)}{7 \textit{\_R1}^{2}-12 \textit{\_R1} +16}\right)}{245}-\frac{{\mathrm e}^{\frac{4}{2+x}}}{7}+\frac{4 \,{\mathrm e}^{\frac{4}{2+x}} \left(\frac{6896}{\left(2+x \right)^{2}}-\frac{7360}{2+x}+1264\right)}{735 \left(\frac{448}{\left(2+x \right)^{3}}-\frac{288}{\left(2+x \right)^{2}}+\frac{192}{2+x}-32\right)}+\frac{32 \left(\munderset{\textit{\_R1} =\RootOf \left(7 \textit{\_Z}^{3}-18 \textit{\_Z}^{2}+48 \textit{\_Z} -32\right)}{\sum}\frac{\left(172 \textit{\_R1}^{2}-447 \textit{\_R1} +270\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -\frac{4}{2+x}+\textit{\_R1} \right)}{7 \textit{\_R1}^{2}-12 \textit{\_R1} +16}\right)}{2205}$&$546$\\ \hline \end{longtable}"," ",0,"2*exp(4/(2+x))/(x^3-3*x-12)","A"
1833,0,0,30,0.245000," ","int(((-exp(ln(5/exp(exp(x)))-x)+x^2-x)*ln(-x*exp(ln(5/exp(exp(x)))-x)+x^3-x^2)+(-exp(x)*x+x^2-x+1)*exp(ln(5/exp(exp(x)))-x)-x^4+x^3-3*x^2+2*x)/(x^2*exp(ln(5/exp(exp(x)))-x)-x^4+x^3),x)","\[\int \frac{\left(-{\mathrm e}^{\ln \left(5 \,{\mathrm e}^{-{\mathrm e}^{x}}\right)-x}+x^{2}-x \right) \ln \left(-x \,{\mathrm e}^{\ln \left(5 \,{\mathrm e}^{-{\mathrm e}^{x}}\right)-x}+x^{3}-x^{2}\right)+\left(-{\mathrm e}^{x} x +x^{2}-x +1\right) {\mathrm e}^{\ln \left(5 \,{\mathrm e}^{-{\mathrm e}^{x}}\right)-x}-x^{4}+x^{3}-3 x^{2}+2 x}{x^{2} {\mathrm e}^{\ln \left(5 \,{\mathrm e}^{-{\mathrm e}^{x}}\right)-x}-x^{4}+x^{3}}\, dx\]"," ",0,"int(((-exp(ln(5/exp(exp(x)))-x)+x^2-x)*ln(-x*exp(ln(5/exp(exp(x)))-x)+x^3-x^2)+(-exp(x)*x+x^2-x+1)*exp(ln(5/exp(exp(x)))-x)-x^4+x^3-3*x^2+2*x)/(x^2*exp(ln(5/exp(exp(x)))-x)-x^4+x^3),x)","F"
1834,1,17,21,0.384000," ","int((exp(5)+2*x^3-2*x^2)/(4*x^2-8*x+4)/exp(5)/exp(x^2/exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \,{\mathrm e}^{-x^{2} {\mathrm e}^{-5}}}{4 \left(x -1\right)}$&$17$\\ gosper&$-\frac{x \,{\mathrm e}^{-x^{2} {\mathrm e}^{-5}}}{4 \left(x -1\right)}$&$20$\\ norman&$-\frac{x \,{\mathrm e}^{-x^{2} {\mathrm e}^{-5}}}{4 \left(x -1\right)}$&$20$\\ \hline \end{longtable}"," ",0,"-1/4*x*exp(-x^2*exp(-5))/(x-1)","A"
1835,1,24,25,0.171000," ","int((-60*x*exp(exp(2/x))+(-240*exp(2/x)-240*x^2)*exp(2*x)+480*exp(2/x))*exp((-2*exp(2*x)+4)/exp(exp(2/x)))/x^3/exp(exp(2/x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{60 \,{\mathrm e}^{-2 \left({\mathrm e}^{2 x}-2\right) {\mathrm e}^{-{\mathrm e}^{\frac{2}{x}}}}}{x}$&$24$\\ \hline \end{longtable}"," ",0,"60/x*exp(-2*(exp(2*x)-2)*exp(-exp(2/x)))","A"
1836,1,26,25,0.644000," ","int((-12*ln(ln(2*x)^2)*exp(3*ln(ln(2*x)^2)^2)+(64*x^4-32*x^2)*ln(2*x))/x/ln(2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$16 x^{4}-16 x^{2}-{\mathrm e}^{3 \ln \left(\ln \left(2 x \right)^{2}\right)^{2}}$&$26$\\ risch&$16 x^{4}-16 x^{2}-{\mathrm e}^{\frac{3 \left(i \pi  \mathrm{csgn}\left(i \ln \left(2 x \right)^{2}\right)^{3}-2 i \pi  \mathrm{csgn}\left(i \ln \left(2 x \right)^{2}\right)^{2} \mathrm{csgn}\left(i \ln \left(2 x \right)\right)+i \pi  \,\mathrm{csgn}\left(i \ln \left(2 x \right)^{2}\right) \mathrm{csgn}\left(i \ln \left(2 x \right)\right)^{2}-4 \ln \left(\ln \left(2 x \right)\right)\right)^{2}}{4}}$&$91$\\ \hline \end{longtable}"," ",0,"16*x^4-16*x^2-exp(3*ln(ln(2*x)^2)^2)","A"
1837,1,17,17,0.034000," ","int((((x-1)*ln(x)^2-12)*exp(12/ln(x))+x^2*ln(x)^2)/(x*ln(x)^2*exp(12/ln(x))+x^2*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\ln \left(x \right)+\ln \left({\mathrm e}^{\frac{12}{\ln \left(x \right)}}+x \right)$&$17$\\ risch&$x -\ln \left(x \right)+\ln \left({\mathrm e}^{\frac{12}{\ln \left(x \right)}}+x \right)$&$17$\\ \hline \end{longtable}"," ",0,"x-ln(x)+ln(exp(12/ln(x))+x)","A"
1838,1,27,24,0.028000," ","int((-2*x*exp(1)+8*x-1)*exp(5)-4*x*exp(1)+16*x-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(x \,{\mathrm e} \,{\mathrm e}^{5}-4 x \,{\mathrm e}^{5}+2 x \,{\mathrm e}+{\mathrm e}^{5}-8 x +3\right)$&$27$\\ norman&$\left(-3-{\mathrm e}^{5}\right) x +\left(-{\mathrm e} \,{\mathrm e}^{5}+4 \,{\mathrm e}^{5}-2 \,{\mathrm e}+8\right) x^{2}$&$30$\\ default&${\mathrm e}^{5} \left(-x^{2} {\mathrm e}+4 x^{2}-x \right)-2 x^{2} {\mathrm e}+8 x^{2}-3 x$&$36$\\ risch&$-x^{2} {\mathrm e}^{6}+4 x^{2} {\mathrm e}^{5}-x \,{\mathrm e}^{5}-2 x^{2} {\mathrm e}+8 x^{2}-3 x$&$36$\\ \hline \end{longtable}"," ",0,"-x*(x*exp(1)*exp(5)-4*x*exp(5)+2*x*exp(1)+exp(5)-8*x+3)","A"
1839,1,34,31,0.125000," ","int(((((x^3-10*x^2+25*x)*exp(4)^2+(-x^4+5*x^3)*exp(4))*exp(x-2)+(-x^2+10*x-25)*exp(4)^2+(2*x^3-15*x^2)*exp(4))*ln(x)*exp(exp(x-2))*ln(ln(x))+((x^2-10*x+25)*exp(4)^2+(-x^3+5*x^2)*exp(4))*exp(exp(x-2)))/((x^4-10*x^3+25*x^2)*exp(4)^2+(-2*x^5+10*x^4)*exp(4)+x^6)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(x \right)\right) \left(x -5\right) {\mathrm e}^{4+{\mathrm e}^{x -2}}}{\left(x \,{\mathrm e}^{4}-x^{2}-5 \,{\mathrm e}^{4}\right) x}$&$34$\\ \hline \end{longtable}"," ",0,"ln(ln(x))/(x*exp(4)-x^2-5*exp(4))*(x-5)/x*exp(4+exp(x-2))","A"
1840,1,843,27,0.414000," ","int(((-2*x^2+1)*ln(5)*ln(x^2)*ln(x^2*ln(x^2))+(-2*x^2-1)*ln(5)*ln(x^2)-2*ln(5))/(exp(x^2)*ln(x^2)*ln(x^2*ln(x^2))^2+2*exp(x^2)*ln(x^2)*ln(x^2*ln(x^2))+exp(x^2)*ln(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i x \ln \left(5\right) {\mathrm e}^{-x^{2}}}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(i x^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)\right)-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)\right)^{2}+\pi  \,\mathrm{csgn}\left(i x^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(x^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)\right)-\pi  \mathrm{csgn}\left(x^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(i x^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)\right)^{3}-\pi  \,\mathrm{csgn}\left(i x^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(x^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)\right)^{2}+\pi  \mathrm{csgn}\left(x^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)\right)^{3}+\pi +4 i \ln \left(x \right)+2 i \ln \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)-2 i \ln \left(2\right)+2 i}$&$843$\\ \hline \end{longtable}"," ",0,"2*I*x*ln(5)*exp(-x^2)/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)))*csgn(I*x^2*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)))-Pi*csgn(I*x^2)*csgn(I*x^2*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)))^2+Pi*csgn(I*x^2*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)))*csgn(x^2*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)))-Pi*csgn(x^2*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)))^2-Pi*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)))*csgn(I*x^2*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)))^2+Pi*csgn(I*x^2*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)))^3-Pi*csgn(I*x^2*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)))*csgn(x^2*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)))^2+Pi*csgn(x^2*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)))^3+Pi+4*I*ln(x)+2*I*ln(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x))-2*I*ln(2)+2*I)","C"
1841,1,34,20,0.061000," ","int(1/25*((-4*x^3+4*x^2)*exp(5)-300*x^2+200*x)*exp(1/25*x*exp(5))+4*x^3-15*x^2+8*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-100 x^{3}+100 x^{2}\right) {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}}}{25}+x^{4}-5 x^{3}+4 x^{2}$&$34$\\ norman&$x^{4}+4 x^{2}-5 x^{3}+4 x^{2} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}}-4 x^{3} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}}$&$37$\\ default&$x^{4}-5 x^{3}+4 x^{2}+{\mathrm e}^{-5} \left(5000 \,{\mathrm e}^{-5} \left(\frac{{\mathrm e}^{5} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x}{25}-{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}}\right)-187500 \,{\mathrm e}^{-10} \left(\frac{{\mathrm e}^{10} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x^{2}}{625}-\frac{2 \,{\mathrm e}^{5} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x}{25}+2 \,{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}}\right)+2500 \,{\mathrm e}^{-5} \left(\frac{{\mathrm e}^{10} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x^{2}}{625}-\frac{2 \,{\mathrm e}^{5} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x}{25}+2 \,{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}}\right)-62500 \,{\mathrm e}^{-10} \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x^{3} {\mathrm e}^{15}}{15625}-\frac{3 \,{\mathrm e}^{10} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x^{2}}{625}+\frac{6 \,{\mathrm e}^{5} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x}{25}-6 \,{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}}\right)\right)$&$185$\\ derivativedivides&${\mathrm e}^{-5} \left(5000 \,{\mathrm e}^{-5} \left(\frac{{\mathrm e}^{5} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x}{25}-{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}}\right)-187500 \,{\mathrm e}^{-10} \left(\frac{{\mathrm e}^{10} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x^{2}}{625}-\frac{2 \,{\mathrm e}^{5} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x}{25}+2 \,{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}}\right)+2500 \,{\mathrm e}^{-5} \left(\frac{{\mathrm e}^{10} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x^{2}}{625}-\frac{2 \,{\mathrm e}^{5} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x}{25}+2 \,{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}}\right)-62500 \,{\mathrm e}^{-10} \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x^{3} {\mathrm e}^{15}}{15625}-\frac{3 \,{\mathrm e}^{10} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x^{2}}{625}+\frac{6 \,{\mathrm e}^{5} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}} x}{25}-6 \,{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{25}}\right)+4 x^{2} {\mathrm e}^{5}-5 x^{3} {\mathrm e}^{5}+x^{4} {\mathrm e}^{5}\right)$&$191$\\ \hline \end{longtable}"," ",0,"1/25*(-100*x^3+100*x^2)*exp(1/25*x*exp(5))+x^4-5*x^3+4*x^2","A"
1842,1,129,19,0.245000," ","int((2*ln(x)^2+2*ln(x)+2)/((x*ln(x)^2+x*ln(x))*ln((3*ln(x)+3)/ln(x))^2+(-2*x*ln(x)^3+30*x*ln(x)^2+32*x*ln(x))*ln((3*ln(x)+3)/ln(x))+x*ln(x)^4-31*x*ln(x)^3+224*x*ln(x)^2+256*x*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 i}{\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+1\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)+1\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+1\right)}{\ln \left(x \right)}\right)^{3}+2 i \ln \left(3\right)-2 i \ln \left(x \right)-2 i \ln \left(\ln \left(x \right)\right)+2 i \ln \left(\ln \left(x \right)+1\right)+32 i}$&$129$\\ \hline \end{longtable}"," ",0,"4*I/(Pi*csgn(I/ln(x))*csgn(I*(ln(x)+1))*csgn(I/ln(x)*(ln(x)+1))-Pi*csgn(I/ln(x))*csgn(I/ln(x)*(ln(x)+1))^2-Pi*csgn(I*(ln(x)+1))*csgn(I/ln(x)*(ln(x)+1))^2+Pi*csgn(I/ln(x)*(ln(x)+1))^3+2*I*ln(3)-2*I*ln(x)-2*I*ln(ln(x))+2*I*ln(ln(x)+1)+32*I)","C"
1843,1,30,27,0.064000," ","int((-4*x^3*ln(x)+(4*x^4+4*x^3)*exp(x)-8*ln(2)^2+16*x^4-4*x^3-x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \,{\mathrm e}^{x} x +8 x^{2}+\frac{4 \ln \left(2\right)^{2}}{x^{2}}-\ln \left(x \right)-4 x \ln \left(x \right)$&$30$\\ risch&$-4 x \ln \left(x \right)-\frac{-8 x^{4}-4 \,{\mathrm e}^{x} x^{3}+x^{2} \ln \left(x \right)-4 \ln \left(2\right)^{2}}{x^{2}}$&$37$\\ norman&$\frac{-x^{2} \ln \left(x \right)+8 x^{4}+4 \ln \left(2\right)^{2}-4 x^{3} \ln \left(x \right)+4 \,{\mathrm e}^{x} x^{3}}{x^{2}}$&$38$\\ \hline \end{longtable}"," ",0,"4*exp(x)*x+8*x^2+4*ln(2)^2/x^2-ln(x)-4*x*ln(x)","A"
1844,1,529,32,0.543000," ","int(((-2*x*ln(exp(x)^2/exp(exp(3)+2-x)^2)-2*x*ln(x)+2*x^2+6*x+2)*ln(-ln(exp(x)^2/exp(exp(3)+2-x)^2)+x-ln(x))+(2*x^2-4*x)*ln(exp(x)^2/exp(exp(3)+2-x)^2)+(2*x^2-4*x)*ln(x)-2*x^3-2*x^2+10*x+4)/(x*ln(exp(x)^2/exp(exp(3)+2-x)^2)+x*ln(x)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(4+2 \,{\mathrm e}^{3}-4 \ln \left({\mathrm e}^{x}\right)+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right)^{2}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{4 x}\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right)}{2}+x -\ln \left(x \right)\right)^{2}-2 x \ln \left(4+2 \,{\mathrm e}^{3}-4 \ln \left({\mathrm e}^{x}\right)+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right)^{2}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{4 x}\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right)}{2}+x -\ln \left(x \right)\right)+x^{2}-4 x +4 \ln \left(\ln \left({\mathrm e}^{x}\right)-\frac{i \left(\pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-2 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)^{3}-4 i {\mathrm e}^{3}-2 i x +2 i \ln \left(x \right)-8 i\right)}{8}\right)$&$529$\\ \hline \end{longtable}"," ",0,"ln(4+2*exp(3)-4*ln(exp(x))+1/2*I*Pi*csgn(I*exp(2*x))*(-csgn(I*exp(2*x))+csgn(I*exp(x)))^2+1/2*I*Pi*csgn(I*exp(3*x))*(-csgn(I*exp(3*x))+csgn(I*exp(2*x)))*(-csgn(I*exp(3*x))+csgn(I*exp(x)))+1/2*I*Pi*csgn(I*exp(4*x))*(-csgn(I*exp(4*x))+csgn(I*exp(3*x)))*(-csgn(I*exp(4*x))+csgn(I*exp(x)))+x-ln(x))^2-2*x*ln(4+2*exp(3)-4*ln(exp(x))+1/2*I*Pi*csgn(I*exp(2*x))*(-csgn(I*exp(2*x))+csgn(I*exp(x)))^2+1/2*I*Pi*csgn(I*exp(3*x))*(-csgn(I*exp(3*x))+csgn(I*exp(2*x)))*(-csgn(I*exp(3*x))+csgn(I*exp(x)))+1/2*I*Pi*csgn(I*exp(4*x))*(-csgn(I*exp(4*x))+csgn(I*exp(3*x)))*(-csgn(I*exp(4*x))+csgn(I*exp(x)))+x-ln(x))+x^2-4*x+4*ln(ln(exp(x))-1/8*I*(Pi*csgn(I*exp(x))^2*csgn(I*exp(2*x))-2*Pi*csgn(I*exp(x))*csgn(I*exp(2*x))^2+Pi*csgn(I*exp(x))*csgn(I*exp(2*x))*csgn(I*exp(3*x))-Pi*csgn(I*exp(x))*csgn(I*exp(3*x))^2+Pi*csgn(I*exp(x))*csgn(I*exp(3*x))*csgn(I*exp(4*x))-Pi*csgn(I*exp(x))*csgn(I*exp(4*x))^2+Pi*csgn(I*exp(2*x))^3-Pi*csgn(I*exp(2*x))*csgn(I*exp(3*x))^2+Pi*csgn(I*exp(3*x))^3-Pi*csgn(I*exp(3*x))*csgn(I*exp(4*x))^2+Pi*csgn(I*exp(4*x))^3-4*I*exp(3)-2*I*x+2*I*ln(x)-8*I))","C"
1845,1,25,29,0.133000," ","int((((-5*x^2+10*x)*exp(2)^4+(10*x^3-20*x^2)*exp(2)^2-5*x^4+10*x^3)*exp(x)-6*exp(2)^2+8*x)/((5*x^2*exp(2)^4-10*x^3*exp(2)^2+5*x^4)*exp(x)-2*x*exp(2)^2+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right)-\ln \left({\mathrm e}^{x}-\frac{2}{5 x \left({\mathrm e}^{4}-x \right)}\right)$&$25$\\ norman&$3 \ln \left(x \right)-\ln \left(5 x \,{\mathrm e}^{4} {\mathrm e}^{x}-5 \,{\mathrm e}^{x} x^{2}-2\right)+\ln \left({\mathrm e}^{4}-x \right)$&$36$\\ \hline \end{longtable}"," ",0,"2*ln(x)-ln(exp(x)-2/5/x/(exp(4)-x))","A"
1846,1,15,18,0.376000," ","int((15*x^2-60*x+52)*exp((15*x^2-26*x)/(13*x-26))/(13*x^2-52*x+52),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{x \left(15 x -26\right)}{13 x -26}}$&$15$\\ risch&${\mathrm e}^{\frac{x \left(15 x -26\right)}{13 x -26}}$&$15$\\ norman&$\frac{x \,{\mathrm e}^{\frac{15 x^{2}-26 x}{13 x -26}}-2 \,{\mathrm e}^{\frac{15 x^{2}-26 x}{13 x -26}}}{x -2}$&$48$\\ \hline \end{longtable}"," ",0,"exp(1/13*x*(15*x-26)/(x-2))","A"
1847,1,20,23,0.109000," ","int((((x-1)*exp(x)+2*ln(2)+5)*ln(x)*ln(ln(x))+x)*exp(ln(ln(x))/exp((-exp(x)+2*ln(2)+5+x)/x))/x^2/ln(x)/exp((-exp(x)+2*ln(2)+5+x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{{\mathrm e}^{\frac{{\mathrm e}^{x}-2 \ln \left(2\right)-5-x}{x}}}$&$20$\\ \hline \end{longtable}"," ",0,"ln(x)^exp((exp(x)-2*ln(2)-5-x)/x)","A"
1848,1,15,17,0.054000," ","int(((x*ln(3)-10*x)*ln(x)^3+(6*x*ln(3)-60*x)*ln(x)^2+(12*x*ln(3)-120*x)*ln(x)+8*x*ln(3)-80*x-2)/(x*ln(x)^3+6*x*ln(x)^2+12*x*ln(x)+8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(3\right)-10 x +\frac{1}{\left(\ln \left(x \right)+2\right)^{2}}$&$15$\\ default&$\frac{1-40 x -40 x \ln \left(x \right)-10 x \ln \left(x \right)^{2}}{\left(\ln \left(x \right)+2\right)^{2}}+x \ln \left(3\right)$&$30$\\ norman&$\frac{\left(-40+4 \ln \left(3\right)\right) x +1+\left(-40+4 \ln \left(3\right)\right) x \ln \left(x \right)+\left(\ln \left(3\right)-10\right) x \ln \left(x \right)^{2}}{\left(\ln \left(x \right)+2\right)^{2}}$&$38$\\ \hline \end{longtable}"," ",0,"x*ln(3)-10*x+1/(ln(x)+2)^2","A"
1849,1,25,22,0.342000," ","int(((-2621440*x^9-10485760*x^8+20)*ln(3)+524288*x^9)/((5*x^2+20*x)*ln(3)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-65536 x^{8}-\ln \left(5 x \ln \left(3\right)+20 \ln \left(3\right)-x \right)+\ln \left(x \right)$&$25$\\ risch&$-65536 x^{8}+\ln \left(-x \right)-\ln \left(x \left(5 \ln \left(3\right)-1\right)+20 \ln \left(3\right)\right)$&$27$\\ default&$-65536 x^{8}+\ln \left(x \right)+\frac{4 \left(-\frac{5 \ln \left(3\right)}{4}+\frac{1}{4}\right) \ln \left(5 x \ln \left(3\right)+20 \ln \left(3\right)-x \right)}{5 \ln \left(3\right)-1}$&$39$\\ meijerg&$-\ln \left(1+\frac{x \left(5 \ln \left(3\right)-1\right)}{20 \ln \left(3\right)}\right)+\ln \left(x \right)-2 \ln \left(2\right)-\ln \left(5\right)-\ln \left(\ln \left(3\right)\right)+\ln \left(5 \ln \left(3\right)-1\right)+\frac{512000000000 \ln \left(3\right)^{8} \left(-131072 \ln \left(3\right)+\frac{131072}{5}\right) \left(-\frac{x \left(5 \ln \left(3\right)-1\right) \left(-\frac{63 x^{7} \left(5 \ln \left(3\right)-1\right)^{7}}{256000000 \ln \left(3\right)^{7}}+\frac{9 x^{6} \left(5 \ln \left(3\right)-1\right)^{6}}{1600000 \ln \left(3\right)^{6}}-\frac{21 x^{5} \left(5 \ln \left(3\right)-1\right)^{5}}{160000 \ln \left(3\right)^{5}}+\frac{63 x^{4} \left(5 \ln \left(3\right)-1\right)^{4}}{20000 \ln \left(3\right)^{4}}-\frac{63 x^{3} \left(5 \ln \left(3\right)-1\right)^{3}}{800 \ln \left(3\right)^{3}}+\frac{21 x^{2} \left(5 \ln \left(3\right)-1\right)^{2}}{10 \ln \left(3\right)^{2}}-\frac{63 x \left(5 \ln \left(3\right)-1\right)}{\ln \left(3\right)}+2520\right)}{50400 \ln \left(3\right)}+\ln \left(1+\frac{x \left(5 \ln \left(3\right)-1\right)}{20 \ln \left(3\right)}\right)\right)}{\left(5 \ln \left(3\right)-1\right)^{9}}-\frac{13421772800000000 \ln \left(3\right)^{8} \left(\frac{x \left(5 \ln \left(3\right)-1\right) \left(\frac{3 x^{6} \left(5 \ln \left(3\right)-1\right)^{6}}{1600000 \ln \left(3\right)^{6}}-\frac{7 x^{5} \left(5 \ln \left(3\right)-1\right)^{5}}{160000 \ln \left(3\right)^{5}}+\frac{21 x^{4} \left(5 \ln \left(3\right)-1\right)^{4}}{20000 \ln \left(3\right)^{4}}-\frac{21 x^{3} \left(5 \ln \left(3\right)-1\right)^{3}}{800 \ln \left(3\right)^{3}}+\frac{7 x^{2} \left(5 \ln \left(3\right)-1\right)^{2}}{10 \ln \left(3\right)^{2}}-\frac{21 x \left(5 \ln \left(3\right)-1\right)}{\ln \left(3\right)}+840\right)}{16800 \ln \left(3\right)}-\ln \left(1+\frac{x \left(5 \ln \left(3\right)-1\right)}{20 \ln \left(3\right)}\right)\right)}{\left(5 \ln \left(3\right)-1\right)^{8}}$&$355$\\ \hline \end{longtable}"," ",0,"-65536*x^8-ln(5*x*ln(3)+20*ln(3)-x)+ln(x)","A"
1850,1,22,16,0.131000," ","int(1/4*((8*x-20)*exp(x)^2+(20*x^3-60*x^2)*exp(x)-25*x^4)/x^6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{25}{4 x}+\frac{5 \,{\mathrm e}^{x}}{x^{3}}+\frac{{\mathrm e}^{2 x}}{x^{5}}$&$22$\\ norman&$\frac{{\mathrm e}^{2 x}+\frac{25 x^{4}}{4}+5 \,{\mathrm e}^{x} x^{2}}{x^{5}}$&$22$\\ risch&$\frac{25}{4 x}+\frac{5 \,{\mathrm e}^{x}}{x^{3}}+\frac{{\mathrm e}^{2 x}}{x^{5}}$&$22$\\ \hline \end{longtable}"," ",0,"25/4/x+5*exp(x)/x^3+1/x^5*exp(x)^2","A"
1851,1,10,11,0.032000," ","int(1/8/ln(ln(ln(6))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{8 \ln \left(\ln \left(\ln \left(6\right)\right)\right)}$&$10$\\ norman&$\frac{x}{8 \ln \left(\ln \left(\ln \left(6\right)\right)\right)}$&$10$\\ risch&$\frac{x}{8 \ln \left(\ln \left(\ln \left(2\right)+\ln \left(3\right)\right)\right)}$&$13$\\ \hline \end{longtable}"," ",0,"1/8*x/ln(ln(ln(6)))","A"
1852,1,21,23,0.265000," ","int(((exp(x)*exp(2+x)-25*exp(x))*ln(exp(2+x)-25)+(-2*exp(2)*exp(x)-4*exp(2))*exp(2+x))/((2*exp(2)*exp(x)+4*exp(2))*exp(2+x)-50*exp(2)*exp(x)-100*exp(2))/ln(exp(2+x)-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}^{x}+2\right) {\mathrm e}^{-2}}{2}-\ln \left(\ln \left({\mathrm e}^{2+x}-25\right)\right)$&$21$\\ norman&$\frac{\ln \left({\mathrm e}^{x}+2\right) {\mathrm e}^{-2}}{2}-\ln \left(\ln \left({\mathrm e}^{2} {\mathrm e}^{x}-25\right)\right)$&$24$\\ default&$\frac{25 \,{\mathrm e}^{-2} \ln \left({\mathrm e}^{2+x}-25\right)}{2 \left(2 \,{\mathrm e}^{2}+25\right)}+\frac{\ln \left({\mathrm e}^{2+x}+2 \,{\mathrm e}^{2}\right)}{2 \,{\mathrm e}^{2}+25}-\ln \left(\ln \left({\mathrm e}^{2+x}-25\right)\right)-\frac{25 \,{\mathrm e}^{-2} \ln \left({\mathrm e}^{2} {\mathrm e}^{x}-25\right)}{2 \left(2 \,{\mathrm e}^{2}+25\right)}+\frac{25 \,{\mathrm e}^{-2} \ln \left({\mathrm e}^{x}+2\right)}{2 \left(2 \,{\mathrm e}^{2}+25\right)}$&$93$\\ \hline \end{longtable}"," ",0,"1/2*ln(exp(x)+2)*exp(-2)-ln(ln(exp(2+x)-25))","A"
1853,1,10,21,0.020000," ","int((3*x-1)/(x*ln(x)-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\ln \left(x \right)-3 x \right)$&$10$\\ norman&$-\ln \left(-\ln \left(x \right)+3 x \right)$&$12$\\ \hline \end{longtable}"," ",0,"-ln(ln(x)-3*x)","A"
1854,1,22,17,0.374000," ","int(((x-3)*exp(2)^2*exp(x)-exp(2)^2)/(8*x^2-32*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{{\mathrm e}^{4} {\mathrm e}^{x}}{8}+\frac{{\mathrm e}^{4}}{8}}{x -2}$&$22$\\ risch&$\frac{{\mathrm e}^{4}}{8 x -16}+\frac{{\mathrm e}^{4+x}}{8 x -16}$&$22$\\ default&$\frac{{\mathrm e}^{4} \left(-\frac{2 \,{\mathrm e}^{x}}{x -2}-3 \,{\mathrm e}^{2} \expIntegralEi \left(1, 2-x \right)\right)}{8}+\frac{{\mathrm e}^{4}}{8 x -16}-\frac{3 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{x}}{x -2}-{\mathrm e}^{2} \expIntegralEi \left(1, 2-x \right)\right)}{8}$&$67$\\ \hline \end{longtable}"," ",0,"(1/8*exp(2)^2*exp(x)+1/8*exp(2)^2)/(x-2)","A"
1855,1,234,24,0.215000," ","int(((exp(1)*exp(x)+5*x^2*exp(1)-6*x)*ln(1/3*(-exp(1)*exp(x)-5*x^2*exp(1)+6*x)/x)+(1-x)*exp(1)*exp(x)-5*x^2*exp(1))/((exp(1)*exp(x)+5*x^2*exp(1)-6*x)*ln(1/3*(-exp(1)*exp(x)-5*x^2*exp(1)+6*x)/x)^2+(2*x*exp(1)*exp(x)+10*x^3*exp(1)-12*x^2)*ln(1/3*(-exp(1)*exp(x)-5*x^2*exp(1)+6*x)/x)+x^2*exp(1)*exp(x)+5*x^4*exp(1)-6*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\left(x^{2}+\frac{{\mathrm e}^{x}}{5}\right) {\mathrm e}-\frac{6 x}{5}\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(x^{2}+\frac{{\mathrm e}^{x}}{5}\right) {\mathrm e}-\frac{6 x}{5}\right)}{x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\left(x^{2}+\frac{{\mathrm e}^{x}}{5}\right) {\mathrm e}-\frac{6 x}{5}\right)}{x}\right)^{2}-2 i \pi  \mathrm{csgn}\left(\frac{i \left(\left(x^{2}+\frac{{\mathrm e}^{x}}{5}\right) {\mathrm e}-\frac{6 x}{5}\right)}{x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(\left(x^{2}+\frac{{\mathrm e}^{x}}{5}\right) {\mathrm e}-\frac{6 x}{5}\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(x^{2}+\frac{{\mathrm e}^{x}}{5}\right) {\mathrm e}-\frac{6 x}{5}\right)}{x}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(\left(x^{2}+\frac{{\mathrm e}^{x}}{5}\right) {\mathrm e}-\frac{6 x}{5}\right)}{x}\right)^{3}+2 i \pi +2 \ln \left(5\right)-2 \ln \left(3\right)+2 x -2 \ln \left(x \right)+2 \ln \left(\left(x^{2}+\frac{{\mathrm e}^{x}}{5}\right) {\mathrm e}-\frac{6 x}{5}\right)}$&$234$\\ \hline \end{longtable}"," ",0,"2*x/(-I*Pi*csgn(I/x)*csgn(I*((x^2+1/5*exp(x))*exp(1)-6/5*x))*csgn(I/x*((x^2+1/5*exp(x))*exp(1)-6/5*x))+I*Pi*csgn(I/x)*csgn(I/x*((x^2+1/5*exp(x))*exp(1)-6/5*x))^2-2*I*Pi*csgn(I/x*((x^2+1/5*exp(x))*exp(1)-6/5*x))^2+I*Pi*csgn(I*((x^2+1/5*exp(x))*exp(1)-6/5*x))*csgn(I/x*((x^2+1/5*exp(x))*exp(1)-6/5*x))^2+I*Pi*csgn(I/x*((x^2+1/5*exp(x))*exp(1)-6/5*x))^3+2*I*Pi+2*ln(5)-2*ln(3)+2*x-2*ln(x)+2*ln((x^2+1/5*exp(x))*exp(1)-6/5*x))","C"
1856,1,14,18,0.036000," ","int(((-10*x^2-60*x)*ln(x)+10*x+40)/(x^4+12*x^3+48*x^2+64*x)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{10 \ln \left(x \right) {\mathrm e}^{-x}}{\left(4+x \right)^{2}}$&$14$\\ risch&$\frac{10 \ln \left(x \right) {\mathrm e}^{-x}}{\left(4+x \right)^{2}}$&$14$\\ \hline \end{longtable}"," ",0,"10*ln(x)/(4+x)^2/exp(x)","A"
1857,1,24,21,0.043000," ","int((((1-x)*exp(x)*ln(x)-exp(x)-3-x)*exp(exp(exp(1))+3)+(2*x-2)*exp(x)*ln(x)+2*exp(x)+2*x+6)/((exp(x)^2+2*exp(x)*x+x^2)*ln(x)^2+(-6*exp(x)-6*x)*ln(x)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left({\mathrm e}^{{\mathrm e}^{{\mathrm e}}+3}-2\right)}{{\mathrm e}^{x} \ln \left(x \right)+x \ln \left(x \right)-3}$&$24$\\ \hline \end{longtable}"," ",0,"x*(exp(exp(exp(1))+3)-2)/(exp(x)*ln(x)+x*ln(x)-3)","A"
1858,1,37,30,0.049000," ","int(1/4*((x^3-x^2-4*x)*ln(3*x)+12*exp(x)+2*x^3-3*x^2-2*x-8)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2} \left(2+x \right) {\mathrm e}^{-x} \ln \left(3 x \right)}{4}-\frac{x \left(x^{2}+2 x -6 \,{\mathrm e}^{x}+4\right) {\mathrm e}^{-x}}{2}$&$37$\\ default&$3 x +\frac{\left(-8 x -4 x^{2}-2 x^{3}-2 x^{2} \ln \left(3 x \right)-x^{3} \ln \left(3 x \right)\right) {\mathrm e}^{-x}}{4}$&$43$\\ norman&$\left(-2 x -x^{2}-\frac{x^{3}}{2}-\frac{x^{2} \ln \left(3 x \right)}{2}-\frac{x^{3} \ln \left(3 x \right)}{4}+3 \,{\mathrm e}^{x} x \right) {\mathrm e}^{-x}$&$43$\\ \hline \end{longtable}"," ",0,"-1/4*x^2*(2+x)*exp(-x)*ln(3*x)-1/2*x*(x^2+2*x-6*exp(x)+4)*exp(-x)","A"
1859,1,38,18,0.400000," ","int(((4*x^3+5*x^2+4*x+5)*ln((x^4+2*x^2+1)*exp(x))+2*x^4+13*x^3+22*x^2+5*x)/(x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(\left(x^{4}+2 x^{2}+1\right) {\mathrm e}^{x}\right) x^{2}+5 \ln \left(\left(x^{4}+2 x^{2}+1\right) {\mathrm e}^{x}\right) x$&$38$\\ norman&$2 \ln \left(\left(x^{4}+2 x^{2}+1\right) {\mathrm e}^{x}\right) x^{2}+5 \ln \left(\left(x^{4}+2 x^{2}+1\right) {\mathrm e}^{x}\right) x$&$38$\\ risch&$\left(2 x^{2}+5 x \right) \ln \left({\mathrm e}^{x}\right)+4 x^{2} \ln \left(x^{2}+1\right)+10 x \ln \left(x^{2}+1\right)+2 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2}+1\right)\right) \mathrm{csgn}\left(i \left(x^{2}+1\right)^{2}\right)^{2}+\frac{5 i \pi  x \,\mathrm{csgn}\left(i \left(x^{2}+1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x^{2}+1\right)^{2}\right)^{2}}{2}-\frac{5 i \pi  x \mathrm{csgn}\left(i \left(x^{2}+1\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+1\right)^{2}\right)}{2}+5 i \pi  x \,\mathrm{csgn}\left(i \left(x^{2}+1\right)\right) \mathrm{csgn}\left(i \left(x^{2}+1\right)^{2}\right)^{2}+i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2}+1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x^{2}+1\right)^{2}\right)^{2}-\frac{5 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i \left(x^{2}+1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x^{2}+1\right)^{2}\right)}{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2}+1\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+1\right)^{2}\right)-i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x^{2}+1\right)^{2}\right)^{3}+i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x^{2}+1\right)^{2}\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2}+1\right)^{2}\right)^{3}+\frac{5 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x^{2}+1\right)^{2}\right)^{2}}{2}-\frac{5 i \pi  x \mathrm{csgn}\left(i \left(x^{2}+1\right)^{2}\right)^{3}}{2}-\frac{5 i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x^{2}+1\right)^{2}\right)^{3}}{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i \left(x^{2}+1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x^{2}+1\right)^{2}\right)$&$417$\\ \hline \end{longtable}"," ",0,"2*ln((x^4+2*x^2+1)*exp(x))*x^2+5*ln((x^4+2*x^2+1)*exp(x))*x","B"
1860,1,497,24,417.419000," ","int(((-x^2+4*x)*ln(x-4)*ln(exp(exp(2))*ln(x-4)^2/x^2)^2+(2*x-8)*exp(9)*ln(x-4)-2*x*exp(9))*exp((-x*ln(exp(exp(2))*ln(x-4)^2/x^2)+exp(9))/ln(exp(exp(2))*ln(x-4)^2/x^2))/(x^2-4*x)/ln(x-4)/ln(exp(exp(2))*ln(x-4)^2/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-i x \pi  \mathrm{csgn}\left(i \ln \left(x -4\right)^{2}\right)^{3}+2 i x \pi  \mathrm{csgn}\left(i \ln \left(x -4\right)^{2}\right)^{2} \mathrm{csgn}\left(i \ln \left(x -4\right)\right)-i x \pi  \,\mathrm{csgn}\left(i \ln \left(x -4\right)^{2}\right) \mathrm{csgn}\left(i \ln \left(x -4\right)\right)^{2}+i x \pi  \,\mathrm{csgn}\left(i \ln \left(x -4\right)^{2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x -4\right)^{2}}{x^{2}}\right)^{2}-i x \pi  \,\mathrm{csgn}\left(i \ln \left(x -4\right)^{2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x -4\right)^{2}}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right)+i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-i x \pi  \mathrm{csgn}\left(\frac{i \ln \left(x -4\right)^{2}}{x^{2}}\right)^{3}+i x \pi  \mathrm{csgn}\left(\frac{i \ln \left(x -4\right)^{2}}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)+2 \,{\mathrm e}^{2} x -4 x \ln \left(x \right)+4 x \ln \left(\ln \left(x -4\right)\right)-2 \,{\mathrm e}^{9}}{-i \pi  \mathrm{csgn}\left(i \ln \left(x -4\right)^{2}\right)^{3}+2 i \pi  \mathrm{csgn}\left(i \ln \left(x -4\right)^{2}\right)^{2} \mathrm{csgn}\left(i \ln \left(x -4\right)\right)-i \pi  \,\mathrm{csgn}\left(i \ln \left(x -4\right)^{2}\right) \mathrm{csgn}\left(i \ln \left(x -4\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \ln \left(x -4\right)^{2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x -4\right)^{2}}{x^{2}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \ln \left(x -4\right)^{2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x -4\right)^{2}}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right)+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \ln \left(x -4\right)^{2}}{x^{2}}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \ln \left(x -4\right)^{2}}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)+2 \,{\mathrm e}^{2}-4 \ln \left(x \right)+4 \ln \left(\ln \left(x -4\right)\right)}}$&$497$\\ \hline \end{longtable}"," ",0,"exp(-(-I*x*Pi*csgn(I*ln(x-4)^2)^3+2*I*x*Pi*csgn(I*ln(x-4)^2)^2*csgn(I*ln(x-4))-I*x*Pi*csgn(I*ln(x-4)^2)*csgn(I*ln(x-4))^2+I*x*Pi*csgn(I*ln(x-4)^2)*csgn(I/x^2*ln(x-4)^2)^2-I*x*Pi*csgn(I*ln(x-4)^2)*csgn(I/x^2*ln(x-4)^2)*csgn(I/x^2)+I*x*Pi*csgn(I*x^2)^3-2*I*x*Pi*csgn(I*x)*csgn(I*x^2)^2+I*x*Pi*csgn(I*x^2)*csgn(I*x)^2-I*x*Pi*csgn(I/x^2*ln(x-4)^2)^3+I*x*Pi*csgn(I/x^2*ln(x-4)^2)^2*csgn(I/x^2)+2*exp(2)*x-4*x*ln(x)+4*x*ln(ln(x-4))-2*exp(9))/(-I*Pi*csgn(I*ln(x-4)^2)^3+2*I*Pi*csgn(I*ln(x-4)^2)^2*csgn(I*ln(x-4))-I*Pi*csgn(I*ln(x-4)^2)*csgn(I*ln(x-4))^2+I*Pi*csgn(I*ln(x-4)^2)*csgn(I/x^2*ln(x-4)^2)^2-I*Pi*csgn(I*ln(x-4)^2)*csgn(I/x^2*ln(x-4)^2)*csgn(I/x^2)+I*Pi*csgn(I*x^2)^3-2*I*Pi*csgn(I*x^2)^2*csgn(I*x)+I*Pi*csgn(I*x^2)*csgn(I*x)^2-I*Pi*csgn(I/x^2*ln(x-4)^2)^3+I*Pi*csgn(I/x^2*ln(x-4)^2)^2*csgn(I/x^2)+2*exp(2)-4*ln(x)+4*ln(ln(x-4))))","C"
1861,1,23,23,0.170000," ","int((((-exp(x)*x-8*x^2+x)*ln(1/16*x^2)-5*exp(x)*x-40*x^2+5*x)*ln(ln(1/16*x^2)+5)^2-2)/(x*ln(1/16*x^2)+5*x)/ln(ln(1/16*x^2)+5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{x}-4 x^{2}+x +\frac{1}{\ln \left(\ln \left(\frac{x^{2}}{16}\right)+5\right)}$&$23$\\ risch&$-4 x^{2}+x -{\mathrm e}^{x}+\frac{1}{\ln \left(-4 \ln \left(2\right)+2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}+5\right)}$&$53$\\ \hline \end{longtable}"," ",0,"-exp(x)-4*x^2+x+1/ln(ln(1/16*x^2)+5)","A"
1862,1,34,34,0.067000," ","int(((24*x^8-36*x^7-22*x^6+57*x^5-30*x^4+5*x^3)*exp(x)^3+(36*x^8-36*x^7-195*x^6+204*x^5+189*x^4-240*x^3+60*x^2)*exp(x)^2+(2*(-4*x^5-4*x^4+x^3)*ln(2)+18*x^8-9*x^7-174*x^6+87*x^5+528*x^4-264*x^3-480*x^2+240*x)*exp(x)+2*(-3*x^4-4*x^2)*ln(2)+3*x^8-41*x^6+204*x^4-432*x^2+320)/((8*x^8-12*x^7+6*x^6-x^5)*exp(x)^3+(12*x^8-12*x^7-45*x^6+48*x^5-12*x^4)*exp(x)^2+(6*x^8-3*x^7-48*x^6+24*x^5+96*x^4-48*x^3)*exp(x)+x^8-12*x^6+48*x^4-64*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x +\frac{5}{x}+\frac{2 x \ln \left(2\right)}{\left(2 \,{\mathrm e}^{x} x^{2}-{\mathrm e}^{x} x +x^{2}-4\right)^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"3*x+5/x+2*x*ln(2)/(2*exp(x)*x^2-exp(x)*x+x^2-4)^2","A"
1863,1,17,26,0.023000," ","int(-1/10*x^3*ln(2)+1/8*x^4+5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(x^{3} \ln \left(2\right)-x^{4}-200\right)}{40}$&$17$\\ default&$-\frac{x^{4} \ln \left(2\right)}{40}+\frac{x^{5}}{40}+5 x$&$17$\\ norman&$-\frac{x^{4} \ln \left(2\right)}{40}+\frac{x^{5}}{40}+5 x$&$17$\\ risch&$-\frac{x^{4} \ln \left(2\right)}{40}+\frac{x^{5}}{40}+5 x$&$17$\\ \hline \end{longtable}"," ",0,"-1/40*x*(x^3*ln(2)-x^4-200)","A"
1864,1,57,33,0.025000," ","int(((-72*x^3+288*x^2-1152*x)*ln(x)^2+(18*x^4-54*x^3-72*x^2+1440*x-4608)*ln(x)+16*x^2)/(16*x^3*ln(x)*ln(ln(x))+144*x^3*ln(x)^3+(-72*x^4-72*x^3+1152*x^2)*ln(x)^2+(9*x^5+18*x^4-279*x^3-288*x^2+2304*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\ln \left(x \right)\right)+\frac{\frac{9 x^{4}}{16}-\frac{9 x^{3} \ln \left(x \right)}{2}+9 x^{2} \ln \left(x \right)^{2}+\frac{9 x^{3}}{8}-\frac{9 x^{2} \ln \left(x \right)}{2}-\frac{279 x^{2}}{16}+72 x \ln \left(x \right)-18 x +144}{x^{2}}\right)$&$57$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(x))+9/16*(x^4-8*x^3*ln(x)+16*x^2*ln(x)^2+2*x^3-8*x^2*ln(x)-31*x^2+128*x*ln(x)-32*x+256)/x^2)","A"
1865,1,12,24,0.022000," ","int((8*x^3*ln(x)-18*x^3)/(ln(x)^2-4*ln(x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x^{4}}{\ln \left(x \right)-2}$&$12$\\ risch&$\frac{2 x^{4}}{\ln \left(x \right)-2}$&$12$\\ \hline \end{longtable}"," ",0,"2*x^4/(ln(x)-2)","A"
1866,1,35,31,0.289000," ","int((((3*x+1)*ln(5)^2+(-6*x^2-32*x-10)*ln(5)+3*x^3+31*x^2+85*x+25)*exp(x)^2+((-6*x-2)*ln(5)^2+(x^3+10*x^2+82*x+26)*ln(5)-x^4-10*x^3-70*x^2-266*x-80)*exp(x)+(3*x+1)*ln(5)^2+(-4*x^2-50*x-16)*ln(5)+2*x^3+33*x^2+208*x+64)/((x*ln(5)^2+(-2*x^2-10*x)*ln(5)+x^3+10*x^2+25*x)*exp(x)^2+(-2*x*ln(5)^2+(4*x^2+26*x)*ln(5)-2*x^3-26*x^2-80*x)*exp(x)+x*ln(5)^2+(-2*x^2-16*x)*ln(5)+x^3+16*x^2+64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x +\ln \left(x \right)-\frac{x^{2}}{{\mathrm e}^{x} \ln \left(5\right)-{\mathrm e}^{x} x -5 \,{\mathrm e}^{x}-\ln \left(5\right)+x +8}$&$35$\\ norman&$\frac{9 x +\left(3 \ln \left(5\right)^{2}-30 \ln \left(5\right)+75\right) {\mathrm e}^{x}+2 x^{2}-3 \,{\mathrm e}^{x} x^{2}-3 \ln \left(5\right)^{2}+39 \ln \left(5\right)-120}{{\mathrm e}^{x} \ln \left(5\right)-{\mathrm e}^{x} x -5 \,{\mathrm e}^{x}-\ln \left(5\right)+x +8}+\ln \left(x \right)$&$70$\\ \hline \end{longtable}"," ",0,"3*x+ln(x)-x^2/(exp(x)*ln(5)-exp(x)*x-5*exp(x)-ln(5)+x+8)","A"
1867,1,40,32,0.103000," ","int(((-32*x^2*exp(-ln(x)+2-x)+64*x^2-256*x+256)*exp((2*x-8)/x^2/exp(-ln(x)+2-x))^2+(64*x^4-256*x^3+256*x^2)*exp((2*x-8)/x^2/exp(-ln(x)+2-x))+32*x^6*exp(-ln(x)+2-x))/x^5/exp(-ln(x)+2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{2}+\frac{16 \,{\mathrm e}^{\frac{4 \left(x -4\right) {\mathrm e}^{x -2}}{x}}}{x^{2}}+32 \,{\mathrm e}^{\frac{2 \left(x -4\right) {\mathrm e}^{x -2}}{x}}$&$40$\\ \hline \end{longtable}"," ",0,"16*x^2+16/x^2*exp(4*(x-4)*exp(x-2)/x)+32*exp(2*(x-4)*exp(x-2)/x)","A"
1868,1,29,25,0.065000," ","int(((5*x-5)*ln(3*x)+(10*x-10)*ln(x)-25*x^2+85*x-70)/(x*ln(3*x)+2*x*ln(x)-5*x^2+17*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-5 \ln \left(3 x \right)+5 x +5 \ln \left(5 x -2 \ln \left(x \right)-\ln \left(3 x \right)-17\right)$&$29$\\ risch&$5 x -5 \ln \left(x \right)+5 \ln \left(\ln \left(x \right)-\frac{i \left(2 i \ln \left(3\right)-10 i x +34 i\right)}{6}\right)$&$30$\\ \hline \end{longtable}"," ",0,"-5*ln(3*x)+5*x+5*ln(5*x-2*ln(x)-ln(3*x)-17)","A"
1869,1,29,31,0.314000," ","int((((-9*x*ln(3)^2+(-x^3+3*x^2-x)*ln(3))*exp(x)+(9*x-9)*ln(3)^2+(x^3-2*x^2+x-1)*ln(3))*exp(exp(x)-x)+81*ln(3)^2+(18*x^2-54*x+18)*ln(3)+x^4-6*x^3+11*x^2-6*x+1)/(81*ln(3)^2+(18*x^2-54*x+18)*ln(3)+x^4-6*x^3+11*x^2-6*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{\ln \left(3\right) x \,{\mathrm e}^{{\mathrm e}^{x}-x}}{x^{2}+9 \ln \left(3\right)-3 x +1}$&$29$\\ norman&$\frac{x^{3}+\left(9 \ln \left(3\right)-8\right) x -\ln \left(3\right) {\mathrm e}^{{\mathrm e}^{x}-x} x +27 \ln \left(3\right)+3}{x^{2}+9 \ln \left(3\right)-3 x +1}$&$45$\\ \hline \end{longtable}"," ",0,"x-ln(3)*x/(x^2+9*ln(3)-3*x+1)*exp(exp(x)-x)","A"
1870,1,32,28,0.041000," ","int(((-x-40)*ln(4*x)^2+(-20*x^2+20)*ln(4*x)+20*x^2-40*x+20)/x^2/ln(4*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \ln \left(x \right)-40}{x}-\frac{20 \left(x^{2}-2 x +1\right)}{x \ln \left(4 x \right)}$&$32$\\ norman&$\frac{-20-x \ln \left(4 x \right)^{2}+40 x -20 x^{2}+40 \ln \left(4 x \right)}{x \ln \left(4 x \right)}$&$36$\\ derivativedivides&$-\ln \left(4 x \right)+\frac{40}{x}-\frac{20 x}{\ln \left(4 x \right)}+\frac{40}{\ln \left(4 x \right)}-\frac{20}{x \ln \left(4 x \right)}$&$41$\\ default&$-\ln \left(4 x \right)+\frac{40}{x}-\frac{20 x}{\ln \left(4 x \right)}+\frac{40}{\ln \left(4 x \right)}-\frac{20}{x \ln \left(4 x \right)}$&$41$\\ \hline \end{longtable}"," ",0,"-(x*ln(x)-40)/x-20/x*(x^2-2*x+1)/ln(4*x)","A"
1871,1,21,19,0.061000," ","int(1/3*((6*x+15)*ln(3)*exp(x/ln(3))+4*x^3*ln(3)-x^4)/ln(3)/exp(x/ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{{\mathrm e}^{-\frac{x}{\ln \left(3\right)}} x^{4}}{3}+5 x$&$21$\\ derivativedivides&$x^{2}+\frac{{\mathrm e}^{-\frac{x}{\ln \left(3\right)}} x^{4}}{3}+5 x$&$22$\\ default&$x^{2}+\frac{{\mathrm e}^{-\frac{x}{\ln \left(3\right)}} x^{4}}{3}+5 x$&$22$\\ norman&$\left(x^{2} {\mathrm e}^{\frac{x}{\ln \left(3\right)}}+\frac{x^{4}}{3}+5 x \,{\mathrm e}^{\frac{x}{\ln \left(3\right)}}\right) {\mathrm e}^{-\frac{x}{\ln \left(3\right)}}$&$38$\\ \hline \end{longtable}"," ",0,"x^2+1/3*exp(-x/ln(3))*x^4+5*x","A"
1872,1,19,23,0.163000," ","int((-6*exp(ln(3*x)+ln(x))-6*x-2)/(9*exp(ln(3*x)+ln(x))^2+(6*x*ln(x^3)-6)*exp(ln(3*x)+ln(x))+x^2*ln(x^3)^2-2*x*ln(x^3)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x}{9 x^{2}+x \ln \left(x^{3}\right)-1}$&$19$\\ default&$\frac{2 x}{9 x^{2}+3 x \ln \left(x \right)+x \left(\ln \left(x^{3}\right)-3 \ln \left(x \right)\right)-1}$&$29$\\ risch&$\frac{4 i x}{x \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+x \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-x \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+x \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+6 i x \ln \left(x \right)+18 i x^{2}-2 i}$&$141$\\ \hline \end{longtable}"," ",0,"2*x/(9*x^2+x*ln(x^3)-1)","A"
1873,1,11,11,0.023000," ","int(-6*x*exp(5)+76,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(3 x \,{\mathrm e}^{5}-76\right)$&$11$\\ default&$-3 x^{2} {\mathrm e}^{5}+76 x$&$12$\\ norman&$-3 x^{2} {\mathrm e}^{5}+76 x$&$12$\\ risch&$-3 x^{2} {\mathrm e}^{5}+76 x$&$12$\\ \hline \end{longtable}"," ",0,"-x*(3*x*exp(5)-76)","A"
1874,1,740,26,3.427000," ","int((((5-x)*ln(-x/(x-5))^2-10*ln(-x/(x-5))+x-5)*ln(x)+(2*x^2-9*x-5)*ln(-x/(x-5))^4+(-4*x^2+17*x+15)*ln(-x/(x-5))^2+2*x^2-8*x-10)/((x-5)*ln(-x/(x-5))^4+(-2*x+10)*ln(-x/(x-5))^2+x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+x -\frac{4 x \ln \left(x \right)}{-4+4 \ln \left(x -5\right)^{2}+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)-\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(\frac{i}{x -5}\right)^{2} \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{3}+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x -5}\right)^{2} \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{3}-8 i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}+8 i \ln \left(x -5\right) \pi  \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}-4 \pi^{2}+4 \ln \left(x \right)^{2}-8 \ln \left(x \right) \ln \left(x -5\right)+4 i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{3}-4 i \ln \left(x -5\right) \pi  \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{3}+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{4}+4 \pi^{2} \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{4}+8 i \pi  \ln \left(x \right)-8 i \pi  \ln \left(x -5\right)-4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)+4 i \ln \left(x -5\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)-4 \pi^{2} \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{4}+4 \pi^{2} \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{5}-4 \pi^{2} \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{3}-\pi^{2} \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{6}+8 \pi^{2} \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}+4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}+4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}-4 i \ln \left(x -5\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}-4 i \ln \left(x -5\right) \pi  \,\mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{5}-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}-4 \pi^{2} \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}-\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{4}-2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{5}-\pi^{2} \mathrm{csgn}\left(\frac{i}{x -5}\right)^{2} \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{4}}$&$740$\\ \hline \end{longtable}"," ",0,"x^2+x-4*x*ln(x)/(-4+4*I*ln(x)*Pi*csgn(I*x/(x-5))^3-4*I*ln(x-5)*Pi*csgn(I*x/(x-5))^3+4*I*ln(x)*Pi*csgn(I*x)*csgn(I*x/(x-5))^2+4*I*ln(x)*Pi*csgn(I/(x-5))*csgn(I*x/(x-5))^2-4*I*ln(x-5)*Pi*csgn(I*x)*csgn(I*x/(x-5))^2-4*I*ln(x-5)*Pi*csgn(I/(x-5))*csgn(I*x/(x-5))^2-2*Pi^2*csgn(I/(x-5))*csgn(I*x/(x-5))^5-4*Pi^2*csgn(I*x)*csgn(I*x/(x-5))^2-4*Pi^2*csgn(I/(x-5))*csgn(I*x/(x-5))^2-Pi^2*csgn(I*x)^2*csgn(I*x/(x-5))^4-2*Pi^2*csgn(I*x)*csgn(I*x/(x-5))^5-Pi^2*csgn(I/(x-5))^2*csgn(I*x/(x-5))^4+4*Pi^2*csgn(I*x)*csgn(I*x/(x-5))^4+4*Pi^2*csgn(I/(x-5))*csgn(I*x/(x-5))^4+4*ln(x-5)^2-4*Pi^2+4*ln(x)^2+8*I*Pi*ln(x)-8*I*Pi*ln(x-5)-4*Pi^2*csgn(I*x/(x-5))^4+4*Pi^2*csgn(I*x/(x-5))^5-4*Pi^2*csgn(I*x/(x-5))^3+4*Pi^2*csgn(I*x)*csgn(I/(x-5))*csgn(I*x/(x-5))-Pi^2*csgn(I*x)^2*csgn(I/(x-5))^2*csgn(I*x/(x-5))^2+2*Pi^2*csgn(I*x)^2*csgn(I/(x-5))*csgn(I*x/(x-5))^3+2*Pi^2*csgn(I*x)*csgn(I/(x-5))^2*csgn(I*x/(x-5))^3-4*Pi^2*csgn(I*x)*csgn(I/(x-5))*csgn(I*x/(x-5))^3-8*I*ln(x)*Pi*csgn(I*x/(x-5))^2+8*I*ln(x-5)*Pi*csgn(I*x/(x-5))^2-Pi^2*csgn(I*x/(x-5))^6-8*ln(x)*ln(x-5)+8*Pi^2*csgn(I*x/(x-5))^2-4*I*ln(x)*Pi*csgn(I*x)*csgn(I/(x-5))*csgn(I*x/(x-5))+4*I*ln(x-5)*Pi*csgn(I*x)*csgn(I/(x-5))*csgn(I*x/(x-5)))","C"
1875,1,23,26,0.115000," ","int(((-x^4*ln(5)+3*x^6-768)*exp((x^4*ln(5)-x^6+32*x^3-256)/x^3)-x^4)*exp(exp((x^4*ln(5)-x^6+32*x^3-256)/x^3)+x)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{5^{x} {\mathrm e}^{-\frac{\left(x^{3}-16\right)^{2}}{x^{3}}}+x}$&$23$\\ norman&$-{\mathrm e}^{{\mathrm e}^{\frac{x^{4} \ln \left(5\right)-x^{6}+32 x^{3}-256}{x^{3}}}+x}$&$29$\\ \hline \end{longtable}"," ",0,"-exp(5^x*exp(-(x^3-16)^2/x^3)+x)","A"
1876,1,20,37,0.058000," ","int(((-8*x^4*exp(x^4)+2*x)*exp(-exp(x^4)+x-4)*exp(exp(-exp(x^4)+x-4))-2*x)/(x*exp(exp(-exp(x^4)+x-4))-x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left({\mathrm e}^{{\mathrm e}^{-{\mathrm e}^{x^{4}}+x -4}}-x +1\right)$&$20$\\ \hline \end{longtable}"," ",0,"2*ln(exp(exp(-exp(x^4)+x-4))-x+1)","A"
1877,1,63,27,0.079000," ","int((-3*x^7+27*x^6-72*x^5+56*x^4-34*x^3+24*x^2-2*x+3)*exp(((3*x^3-12*x^2-3)*ln(x/ln(3))-3*x^4+12*x^3+2*x)/(3*x^3-12*x^2-3))/(3*x^7-24*x^6+48*x^5-6*x^4+24*x^3+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{3 \ln \left(\frac{x}{\ln \left(3\right)}\right) x^{3}-3 x^{4}-12 \ln \left(\frac{x}{\ln \left(3\right)}\right) x^{2}+12 x^{3}-3 \ln \left(\frac{x}{\ln \left(3\right)}\right)+2 x}{3 x^{3}-12 x^{2}-3}}$&$63$\\ risch&${\mathrm e}^{-\frac{-3 \ln \left(\frac{x}{\ln \left(3\right)}\right) x^{3}+3 x^{4}+12 \ln \left(\frac{x}{\ln \left(3\right)}\right) x^{2}-12 x^{3}+3 \ln \left(\frac{x}{\ln \left(3\right)}\right)-2 x}{3 \left(x^{3}-4 x^{2}-1\right)}}$&$63$\\ norman&$\frac{x^{3} {\mathrm e}^{\frac{\left(3 x^{3}-12 x^{2}-3\right) \ln \left(\frac{x}{\ln \left(3\right)}\right)-3 x^{4}+12 x^{3}+2 x}{3 x^{3}-12 x^{2}-3}}-4 x^{2} {\mathrm e}^{\frac{\left(3 x^{3}-12 x^{2}-3\right) \ln \left(\frac{x}{\ln \left(3\right)}\right)-3 x^{4}+12 x^{3}+2 x}{3 x^{3}-12 x^{2}-3}}-{\mathrm e}^{\frac{\left(3 x^{3}-12 x^{2}-3\right) \ln \left(\frac{x}{\ln \left(3\right)}\right)-3 x^{4}+12 x^{3}+2 x}{3 x^{3}-12 x^{2}-3}}}{x^{3}-4 x^{2}-1}$&$176$\\ \hline \end{longtable}"," ",0,"exp(1/3*(3*ln(x/ln(3))*x^3-3*x^4-12*ln(x/ln(3))*x^2+12*x^3-3*ln(x/ln(3))+2*x)/(x^3-4*x^2-1))","B"
1878,1,21,26,0.059000," ","int(((-4*x^5+16*x^4-4*x^3+16*x^2+2*x-4)*exp(x^4+2*x^2+1)+4*x^2-26*x+52)/(exp(x^4+2*x^2+1)^2+(2*x^2-26)*exp(x^4+2*x^2+1)+x^4-26*x^2+169),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x -4\right) x}{x^{2}+{\mathrm e}^{\left(x^{2}+1\right)^{2}}-13}$&$21$\\ norman&$\frac{x^{2}-4 x}{x^{2}+{\mathrm e}^{x^{4}+2 x^{2}+1}-13}$&$27$\\ \hline \end{longtable}"," ",0,"(x-4)*x/(x^2+exp((x^2+1)^2)-13)","A"
1879,1,28,13,0.046000," ","int((x+1)*exp(x)*ln(-exp(x))+exp(x)*x+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(-{\mathrm e}^{x}\right)^{2}+2 x \ln \left(-{\mathrm e}^{x}\right)+\ln \left(-{\mathrm e}^{x}\right) x \,{\mathrm e}^{x}$&$28$\\ default&${\mathrm e}^{x} x^{2}+{\mathrm e}^{x} \left(\ln \left(-{\mathrm e}^{x}\right)-x \right)+\left(\ln \left(-{\mathrm e}^{x}\right)-x \right) \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+x^{2}$&$42$\\ risch&$i \pi  \,{\mathrm e}^{x} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{3} x -i \pi  \,{\mathrm e}^{x} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} x +i \pi  \,{\mathrm e}^{x} x +x \,{\mathrm e}^{x} \ln \left({\mathrm e}^{x}\right)+x^{2}$&$49$\\ \hline \end{longtable}"," ",0,"-ln(-exp(x))^2+2*x*ln(-exp(x))+ln(-exp(x))*x*exp(x)","B"
1880,1,32,18,0.399000," ","int((2*ln(3)+14*x^4+18)*ln(x/(ln(3)^2+(-2*x^4+18)*ln(3)+x^8-18*x^4+81))/(x*ln(3)-x^5+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{x}{\ln \left(3\right)^{2}+\left(-2 x^{4}+18\right) \ln \left(3\right)+x^{8}-18 x^{4}+81}\right)^{2}$&$32$\\ default&\verb|error in gcdex: invalid arguments\|& N/A\\ \hline \end{longtable}"," ",0,"ln(x/(ln(3)^2+(-2*x^4+18)*ln(3)+x^8-18*x^4+81))^2","A"
1881,1,23,15,0.042000," ","int(((32*x+152)*ln(3)-320*x-1528)/(64*x^3+912*x^2+4332*x+6859),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(80-8 \ln \left(3\right)\right) x +381-38 \ln \left(3\right)}{\left(4 x +19\right)^{2}}$&$23$\\ default&$-\frac{8 \left(\frac{\ln \left(3\right)}{4}-\frac{5}{2}\right)}{4 x +19}+\frac{1}{\left(4 x +19\right)^{2}}$&$24$\\ risch&$\frac{\left(-\frac{\ln \left(3\right)}{2}+5\right) x +\frac{381}{16}-\frac{19 \ln \left(3\right)}{8}}{x^{2}+\frac{19}{2} x +\frac{361}{16}}$&$26$\\ gosper&$-\frac{8 x \ln \left(3\right)+38 \ln \left(3\right)-80 x -381}{16 x^{2}+152 x +361}$&$29$\\ \hline \end{longtable}"," ",0,"((80-8*ln(3))*x+381-38*ln(3))/(4*x+19)^2","A"
1882,1,22,27,0.069000," ","int((((-4*x^2-x)*exp(x)*exp(4*x)+(-2*x-1)*exp(x))*exp(x*exp(4*x)+x)+(2*x+2)*exp(x))*exp(x*exp(x)*exp(x*exp(4*x)+x)-2*exp(x)*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x \,{\mathrm e}^{x \left(2+{\mathrm e}^{4 x}\right)}-2 \,{\mathrm e}^{x} x +1}$&$22$\\ \hline \end{longtable}"," ",0,"-exp(x*exp(x*(2+exp(4*x)))-2*exp(x)*x+1)","A"
1883,1,41,30,0.064000," ","int(((3*x^4+8*x^2+12*x+16)*exp(x)^2+(27*x^4+48*x^2+36*x+96)*exp(x)+27*x^4+72*x^2+144)/(3*x^4*exp(2/x^2)*exp(x)^2+18*x^4*exp(2/x^2)*exp(x)+27*x^4*exp(2/x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(3 \,{\mathrm e}^{x} x^{2}+9 x^{2}+3 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{x}+12\right) {\mathrm e}^{-\frac{2}{x^{2}}}}{3 x \left(3+{\mathrm e}^{x}\right)}$&$41$\\ norman&$\frac{\left({\mathrm e}^{x} x^{3}+{\mathrm e}^{x} x^{4}+4 x^{2}+3 x^{4}+\frac{4 \,{\mathrm e}^{x} x^{2}}{3}\right) {\mathrm e}^{-\frac{2}{x^{2}}}}{x^{3} \left(3+{\mathrm e}^{x}\right)}$&$49$\\ \hline \end{longtable}"," ",0,"1/3*(3*exp(x)*x^2+9*x^2+3*exp(x)*x+4*exp(x)+12)/x/(3+exp(x))*exp(-2/x^2)","A"
1884,1,29,30,0.042000," ","int(((-6*x*ln(x)+30*x^3)*exp(1/5*ln(x)^2)+4*x^4+56*x^3-62*x^2-30)/(15*x^2*exp(1/5*ln(x)^2)+2*x^3+28*x^2-30*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\ln \left({\mathrm e}^{\frac{\ln \left(x \right)^{2}}{5}}+\frac{\frac{2}{15} x^{2}+\frac{28}{15} x -2}{x}\right)$&$29$\\ norman&$x^{2}+\ln \left(x \right)-\ln \left(15 x \,{\mathrm e}^{\frac{\ln \left(x \right)^{2}}{5}}+2 x^{2}+28 x -30\right)$&$30$\\ \hline \end{longtable}"," ",0,"x^2-ln(exp(1/5*ln(x)^2)+2/15*(x^2+14*x-15)/x)","A"
1885,1,4,18,0.017000," ","int(1/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\ln \left(x \right)\right)$&$4$\\ default&$\ln \left(\ln \left(x \right)\right)$&$4$\\ norman&$\ln \left(\ln \left(x \right)\right)$&$4$\\ risch&$\ln \left(\ln \left(x \right)\right)$&$4$\\ \hline \end{longtable}"," ",0,"ln(ln(x))","A"
1886,1,21,25,0.039000," ","int(1/4*(-ln(3)-8*x^3+25*x^2-x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{25 x}{4}-x^{2}-\frac{\ln \left(x \right)}{4}+\frac{\ln \left(3\right)}{4 x}$&$21$\\ risch&$\frac{25 x}{4}-x^{2}-\frac{\ln \left(x \right)}{4}+\frac{\ln \left(3\right)}{4 x}$&$21$\\ norman&$\frac{\frac{25 x^{2}}{4}-x^{3}+\frac{\ln \left(3\right)}{4}}{x}-\frac{\ln \left(x \right)}{4}$&$25$\\ \hline \end{longtable}"," ",0,"25/4*x-x^2-1/4*ln(x)+1/4*ln(3)/x","A"
1887,1,130,32,0.120000," ","int((((2*x^6-2*x^4-4*x^3)*exp(x)^2+(-2*x^7-20*x^6+2*x^5+28*x^4+72*x^3)*exp(x)+2*x^7+18*x^6-6*x^5-90*x^4-324*x^3)*ln(x)^2+((4*x^7+2*x^6-6*x^5-8*x^4+2*x^3+6*x^2)*exp(x)^2+(-4*x^8-44*x^7-32*x^6+60*x^5+144*x^4-16*x^3-108*x^2)*exp(x)+6*x^8+74*x^7+182*x^6-56*x^5-674*x^4-18*x^3+486*x^2)*ln(x)+(2*x^8+2*x^7-4*x^6-6*x^5+2*x^4+6*x^3-2*x)*exp(x)^2+(-2*x^9-24*x^8-34*x^7+36*x^6+110*x^5-110*x^3-12*x^2+36*x)*exp(x)+4*x^9+56*x^8+186*x^7-4*x^6-546*x^5-160*x^4+518*x^3+108*x^2-162*x)/(x^6-3*x^4+3*x^2-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2}-2 \,{\mathrm e}^{x} x +{\mathrm e}^{2 x}+18 x -18 \,{\mathrm e}^{x}+81\right) x^{4} \ln \left(x \right)^{2}}{\left(x^{2}-1\right)^{2}}+\frac{2 \left(x^{5}-2 \,{\mathrm e}^{x} x^{4}+{\mathrm e}^{2 x} x^{3}+18 x^{4}-18 \,{\mathrm e}^{x} x^{3}+81 x^{3}-18 x^{2}+18\right) \ln \left(x \right)}{x^{2}-1}+x^{4}-2 \,{\mathrm e}^{x} x^{3}+{\mathrm e}^{2 x} x^{2}+18 x^{3}-18 \,{\mathrm e}^{x} x^{2}+81 x^{2}+36 \ln \left(x \right)$&$130$\\ \hline \end{longtable}"," ",0,"(x^2-2*exp(x)*x+exp(2*x)+18*x-18*exp(x)+81)*x^4/(x^2-1)^2*ln(x)^2+2*(x^5-2*exp(x)*x^4+exp(2*x)*x^3+18*x^4-18*exp(x)*x^3+81*x^3-18*x^2+18)/(x^2-1)*ln(x)+x^4-2*exp(x)*x^3+exp(2*x)*x^2+18*x^3-18*exp(x)*x^2+81*x^2+36*ln(x)","B"
1888,1,14,23,0.024000," ","int(1/5*(13*x^12*ln(x)-4*x^12)/ln(3)/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{13}}{5 \ln \left(3\right) \ln \left(x \right)^{4}}$&$14$\\ risch&$\frac{x^{13}}{5 \ln \left(3\right) \ln \left(x \right)^{4}}$&$14$\\ \hline \end{longtable}"," ",0,"1/5/ln(3)*x^13/ln(x)^4","A"
1889,1,29,21,0.202000," ","int(1/8*((24*exp(x)*ln(5)-exp(1/8*x))*exp((-3*exp(x)*ln(5)+exp(1/8*x)+16*ln(5))/ln(5))+8*ln(5))/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -{\mathrm e}^{-\frac{3 \,{\mathrm e}^{x} \ln \left(5\right)-16 \ln \left(5\right)-{\mathrm e}^{\frac{x}{8}}}{\ln \left(5\right)}}$&$29$\\ norman&$x -{\mathrm e}^{\frac{-3 \,{\mathrm e}^{x} \ln \left(5\right)+{\mathrm e}^{\frac{x}{8}}+16 \ln \left(5\right)}{\ln \left(5\right)}}$&$30$\\ default&$\frac{-8 \ln \left(5\right) {\mathrm e}^{\frac{-3 \,{\mathrm e}^{x} \ln \left(5\right)+{\mathrm e}^{\frac{x}{8}}+16 \ln \left(5\right)}{\ln \left(5\right)}}+8 x \ln \left(5\right)}{8 \ln \left(5\right)}$&$42$\\ \hline \end{longtable}"," ",0,"x-exp(-(3*exp(x)*ln(5)-16*ln(5)-exp(1/8*x))/ln(5))","A"
1890,1,17,26,0.029000," ","int((30*x^3+30*x^2-38*x-30)/(15*x^4-30*x^2+15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4}{15 \left(x^{2}-1\right)}+2 \ln \left(x -1\right)$&$17$\\ risch&$\frac{4}{15 \left(x^{2}-1\right)}+2 \ln \left(x -1\right)$&$17$\\ default&$-\frac{2}{15 \left(x +1\right)}+\frac{2}{15 \left(x -1\right)}+2 \ln \left(x -1\right)$&$22$\\ \hline \end{longtable}"," ",0,"4/15/(x^2-1)+2*ln(x-1)","A"
1891,1,13,13,0.118000," ","int((3*exp(ln(ln(x^3))-3)+2*x*ln(x^3))*exp(exp(ln(ln(x^3))-3)+2*x)/x/ln(x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{\ln \left(x^{3}\right) {\mathrm e}^{-3}+2 x}$&$13$\\ norman&${\mathrm e}^{\ln \left(x^{3}\right) {\mathrm e}^{-3}+2 x}$&$13$\\ \hline \end{longtable}"," ",0,"exp(ln(x^3)*exp(-3)+2*x)","A"
1892,1,15,13,0.028000," ","int(((6*x+12)*ln(x)-7*x-8)/((3*x^2+12*x)*ln(x)-5*x^2-20*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)+\ln \left(4+x \right)+\ln \left(3 \ln \left(x \right)-5\right)$&$15$\\ risch&$\ln \left(x^{2}+4 x \right)+\ln \left(\ln \left(x \right)-\frac{5}{3}\right)$&$15$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(4+x)+ln(3*ln(x)-5)","A"
1893,1,32,30,0.061000," ","int(((-x^4+3*x^3-3*x^2+x)*exp(x)-4*x^3+10*x^2-17*x+8)/((x^4-2*x^3+x^2)*exp(x)+x^5-6*x^4+10*x^3-9*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-\ln \left({\mathrm e}^{x}+\frac{x^{3}-5 x^{2}+5 x -4}{x \left(x -1\right)}\right)$&$32$\\ norman&$2 \ln \left(x \right)-\ln \left(x^{3}+{\mathrm e}^{x} x^{2}-5 x^{2}-{\mathrm e}^{x} x +5 x -4\right)+\ln \left(x -1\right)$&$37$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(exp(x)+(x^3-5*x^2+5*x-4)/x/(x-1))","A"
1894,1,15,16,0.044000," ","int(((5*x^2-5*x)*exp(5*x/exp(x))+(x+1)*exp(x))/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x \right)-{\mathrm e}^{5 x \,{\mathrm e}^{-x}}$&$15$\\ norman&$\left({\mathrm e}^{x} x -{\mathrm e}^{x} {\mathrm e}^{5 x \,{\mathrm e}^{-x}}\right) {\mathrm e}^{-x}+\ln \left(x \right)$&$26$\\ \hline \end{longtable}"," ",0,"x+ln(x)-exp(5*x*exp(-x))","A"
1895,1,20,25,0.118000," ","int(((-x^5+14*x^4-42*x^3)*exp((x^2-6*x)/(x-7))-8*x^2+112*x-392)/(x^5-14*x^4+49*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{x^{2}}-{\mathrm e}^{\frac{x \left(x -6\right)}{x -7}}$&$20$\\ norman&$\frac{-28+4 x +7 x^{2} {\mathrm e}^{\frac{x^{2}-6 x}{x -7}}-x^{3} {\mathrm e}^{\frac{x^{2}-6 x}{x -7}}}{x^{2} \left(x -7\right)}$&$53$\\ \hline \end{longtable}"," ",0,"4/x^2-exp(x*(x-6)/(x-7))","A"
1896,1,22,22,0.130000," ","int(((2*x^3-x)*exp(x^2)*ln(x^2)^3*exp(exp(x^2)/x)-32*ln(x^2)-64)/x^3/ln(x^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{16}{x^{2} \ln \left(x^{2}\right)^{2}}+{\mathrm e}^{\frac{{\mathrm e}^{x^{2}}}{x}}$&$22$\\ risch&$-\frac{64}{x^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)^{2}}+{\mathrm e}^{\frac{{\mathrm e}^{x^{2}}}{x}}$&$68$\\ \hline \end{longtable}"," ",0,"16/x^2/ln(x^2)^2+exp(exp(x^2)/x)","A"
1897,1,133,31,0.270000," ","int(((24*x^10+576*x^9+5760*x^8+31872*x^7+108288*x^6+230400*x^5+301056*x^4+276480*x^3+129024*x^2-491520*x-589824)*exp(exp(x))+(20*x^11+480*x^10+4800*x^9+26560*x^8+94080*x^7+245760*x^6+527360*x^5+921600*x^4+1274880*x^3+1433600*x^2+1228800*x+737280)*exp(x)-40*x^10-960*x^9-9600*x^8-53120*x^7-180480*x^6-384000*x^5-501760*x^4-460800*x^3-215040*x^2+819200*x+983040)/(x^9+24*x^8+240*x^7+1328*x^6+4608*x^5+10752*x^4+17152*x^3+18432*x^2+12288*x+4096)/exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$12 x^{2}+\frac{1152 x^{4}+9216 x^{3}+18432 x^{2}+18432 x +27648}{x^{6}+16 x^{5}+96 x^{4}+288 x^{3}+512 x^{2}+512 x +256}-\frac{20 \left(x^{8}+16 x^{7}+96 x^{6}+288 x^{5}+608 x^{4}+1280 x^{3}+1792 x^{2}+1536 x +2304\right) {\mathrm e}^{-{\mathrm e}^{x}}}{x^{6}+16 x^{5}+96 x^{4}+288 x^{3}+512 x^{2}+512 x +256}$&$133$\\ \hline \end{longtable}"," ",0,"12*x^2+(1152*x^4+9216*x^3+18432*x^2+18432*x+27648)/(x^6+16*x^5+96*x^4+288*x^3+512*x^2+512*x+256)-20*(x^8+16*x^7+96*x^6+288*x^5+608*x^4+1280*x^3+1792*x^2+1536*x+2304)/(x^6+16*x^5+96*x^4+288*x^3+512*x^2+512*x+256)*exp(-exp(x))","B"
1898,1,33,22,0.053000," ","int(((2*x*exp(x^4)+12*x^4-3)*ln(x)+(51*x+4)*exp(x^4)+300*x^4+48*x^3-78)/exp(x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x +\left(-12-75 x -3 x \ln \left(x \right)\right) {\mathrm e}^{-x^{4}}+25 x^{2}+x^{2} \ln \left(x \right)$&$33$\\ norman&$\left(-12+x^{2} {\mathrm e}^{x^{4}} \ln \left(x \right)-75 x +4 x \,{\mathrm e}^{x^{4}}-3 x \ln \left(x \right)+25 x^{2} {\mathrm e}^{x^{4}}\right) {\mathrm e}^{-x^{4}}$&$44$\\ risch&$x \left(x \,{\mathrm e}^{x^{4}}-3\right) {\mathrm e}^{-x^{4}} \ln \left(x \right)+\left(25 x^{2} {\mathrm e}^{x^{4}}+4 x \,{\mathrm e}^{x^{4}}-75 x -12\right) {\mathrm e}^{-x^{4}}$&$48$\\ \hline \end{longtable}"," ",0,"4*x+(-12-75*x-3*x*ln(x))/exp(x^4)+25*x^2+x^2*ln(x)","A"
1899,1,150,22,1.404000," ","int(((-x*ln(2/x)-1)*ln(x)*exp(1/(ln(3/ln(2/x))+x))+2*ln(2/x)*ln(3/ln(2/x))^2+4*x*ln(2/x)*ln(3/ln(2/x))+2*x^2*ln(2/x))/(x*ln(2/x)*ln(x)*ln(3/ln(2/x))^2+2*x^2*ln(2/x)*ln(x)*ln(3/ln(2/x))+x^3*ln(2/x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(\ln \left(x \right)\right)+{\mathrm e}^{\frac{2}{i \pi  \mathrm{csgn}\left(\frac{1}{2 i \ln \left(2\right)-2 i \ln \left(x \right)}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{1}{2 i \ln \left(2\right)-2 i \ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{2 i \ln \left(2\right)-2 i \ln \left(x \right)}\right)-i \pi  \mathrm{csgn}\left(\frac{1}{2 i \ln \left(2\right)-2 i \ln \left(x \right)}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{1}{2 i \ln \left(2\right)-2 i \ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{2 i \ln \left(2\right)-2 i \ln \left(x \right)}\right)+i \pi -2 \ln \left(2 i \ln \left(2\right)-2 i \ln \left(x \right)\right)+2 \ln \left(6\right)+2 x}}$&$150$\\ \hline \end{longtable}"," ",0,"2*ln(ln(x))+exp(2/(I*Pi*csgn(1/(2*I*ln(2)-2*I*ln(x)))^3+I*Pi*csgn(1/(2*I*ln(2)-2*I*ln(x)))^2*csgn(I/(2*I*ln(2)-2*I*ln(x)))-I*Pi*csgn(1/(2*I*ln(2)-2*I*ln(x)))^2-I*Pi*csgn(1/(2*I*ln(2)-2*I*ln(x)))*csgn(I/(2*I*ln(2)-2*I*ln(x)))+I*Pi-2*ln(2*I*ln(2)-2*I*ln(x))+2*ln(6)+2*x))","C"
1900,1,45,50,0.250000," ","int(((((2+x)*exp(1)-2*x)*exp((exp(1)*ln(x)-x)/exp(1))^2+4*x*exp(1)*ln(5))*ln(1/4*exp((exp(1)*ln(x)-x)/exp(1))^2+ln(5))+((x^2+4*x)*exp(1)-2*x^2)*exp((exp(1)*ln(x)-x)/exp(1))^2+(4*x^2+8*x)*exp(1)*ln(5))/(2*x*exp(1)*exp((exp(1)*ln(x)-x)/exp(1))^2+8*x*exp(1)*ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\frac{x^{2} {\mathrm e}^{-2 \,{\mathrm e}^{-1} x}}{4}+\ln \left(5\right)\right)^{2}}{4}+\frac{x \ln \left(\frac{x^{2} {\mathrm e}^{-2 \,{\mathrm e}^{-1} x}}{4}+\ln \left(5\right)\right)}{2}+\frac{x^{2}}{4}+x$&$45$\\ \hline \end{longtable}"," ",0,"1/4*ln(1/4*x^2*exp(-2*exp(-1)*x)+ln(5))^2+1/2*x*ln(1/4*x^2*exp(-2*exp(-1)*x)+ln(5))+1/4*x^2+x","A"
1901,1,19,25,0.041000," ","int(1/2*((x*ln(5)^2+x^2+x)*exp(x)+(2*x+2)*ln(5))/x/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x \right)+\frac{\left(\ln \left(5\right)^{2}+x \right) {\mathrm e}^{x}}{2 \ln \left(5\right)}$&$19$\\ norman&$x +\frac{{\mathrm e}^{x} \ln \left(5\right)}{2}+\frac{{\mathrm e}^{x} x}{2 \ln \left(5\right)}+\ln \left(x \right)$&$20$\\ default&$\frac{{\mathrm e}^{x} x +\ln \left(5\right)^{2} {\mathrm e}^{x}+2 \ln \left(5\right) \ln \left(x \right)+2 x \ln \left(5\right)}{2 \ln \left(5\right)}$&$30$\\ \hline \end{longtable}"," ",0,"x+ln(x)+1/2/ln(5)*(ln(5)^2+x)*exp(x)","A"
1902,1,18,17,0.415000," ","int(((9216*x^2-18432*x+9215)*ln(9216*x^3-18432*x^2+9215*x)+27648*x^2-36864*x+9215)/(9216*x^2-18432*x+9215),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(9216 x^{3}-18432 x^{2}+9215 x \right) x$&$18$\\ norman&$\ln \left(9216 x^{3}-18432 x^{2}+9215 x \right) x$&$18$\\ risch&$\ln \left(9216 x^{3}-18432 x^{2}+9215 x \right) x$&$18$\\ \hline \end{longtable}"," ",0,"ln(9216*x^3-18432*x^2+9215*x)*x","A"
1903,1,13,14,0.043000," ","int(1/5*(10*x-5)*exp(1/x)-1/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\frac{x}{5}+x^{2} {\mathrm e}^{\frac{1}{x}}$&$13$\\ default&$-\frac{x}{5}+x^{2} {\mathrm e}^{\frac{1}{x}}$&$13$\\ norman&$-\frac{x}{5}+x^{2} {\mathrm e}^{\frac{1}{x}}$&$13$\\ risch&$-\frac{x}{5}+x^{2} {\mathrm e}^{\frac{1}{x}}$&$13$\\ \hline \end{longtable}"," ",0,"-1/5*x+x^2*exp(1/x)","A"
1904,1,19,14,0.024000," ","int((35*x^2-280*x+562)/(35*x^3-280*x^2+558*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(35 x^{2}-140 x -2\right)-\ln \left(x -4\right)$&$19$\\ norman&$\ln \left(35 x^{2}-140 x -2\right)-\ln \left(x -4\right)$&$19$\\ risch&$\ln \left(35 x^{2}-140 x -2\right)-\ln \left(x -4\right)$&$19$\\ \hline \end{longtable}"," ",0,"ln(35*x^2-140*x-2)-ln(x-4)","A"
1905,1,21,20,0.362000," ","int(-exp(25)*ln(ln(5))*exp(-x*exp(25)*ln(ln(5))/(5+2*x))*exp(1/5*exp(-x*exp(25)*ln(ln(5))/(5+2*x))-1/5)/(4*x^2+20*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\ln \left(5\right)^{-\frac{x \,{\mathrm e}^{25}}{5+2 x}}}{5}-\frac{1}{5}}$&$21$\\ norman&$\frac{2 x \,{\mathrm e}^{\frac{{\mathrm e}^{-\frac{x \,{\mathrm e}^{25} \ln \left(\ln \left(5\right)\right)}{5+2 x}}}{5}-\frac{1}{5}}+5 \,{\mathrm e}^{\frac{{\mathrm e}^{-\frac{x \,{\mathrm e}^{25} \ln \left(\ln \left(5\right)\right)}{5+2 x}}}{5}-\frac{1}{5}}}{5+2 x}$&$57$\\ \hline \end{longtable}"," ",0,"exp(1/5*ln(5)^(-x*exp(25)/(5+2*x))-1/5)","A"
1906,1,40,26,0.068000," ","int(((2*x^4+6*x^3+6*x^2+2*x)*ln(x)^3+((2*x^4+6*x^3+8*x^2+4*x)*exp(x)+18*x^4+42*x^3+30*x^2+6*x)*ln(x)^2+((2*x^3+2*x^2+2*x)*exp(x)^2+(12*x^4+26*x^3+24*x^2+6*x)*exp(x)+54*x^4+90*x^3+42*x^2+6*x)*ln(x)+6*exp(x)^2*x^3+(18*x^4+24*x^3+12*x^2+2*x)*exp(x)+54*x^4+54*x^3+18*x^2+2*x)/((x^3+3*x^2+3*x+1)*ln(x)^3+(9*x^3+21*x^2+15*x+3)*ln(x)^2+(27*x^3+45*x^2+21*x+3)*ln(x)+27*x^3+27*x^2+9*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{\left(2 x \ln \left(x \right)+6 x +{\mathrm e}^{x}+2 \ln \left(x \right)+2\right) x^{2} {\mathrm e}^{x}}{\left(x \ln \left(x \right)+\ln \left(x \right)+3 x +1\right)^{2}}$&$40$\\ \hline \end{longtable}"," ",0,"x^2+(2*x*ln(x)+6*x+exp(x)+2*ln(x)+2)*x^2*exp(x)/(x*ln(x)+ln(x)+3*x+1)^2","A"
1907,1,89,30,0.337000," ","int((2*exp(x)^5+(-8*ln(3)-6)*exp(x)^4+(-2*ln(5)^2*exp(3-x)^2-8*ln(3)*ln(5)*exp(3-x)+24*ln(3)+8)*exp(x)^3+(6*ln(5)^2*exp(3-x)^2+(24*ln(3)+4*x-2)*ln(5)*exp(3-x)+(8*x-32)*ln(3)-2*x-6)*exp(x)^2+(-6*ln(5)^2*exp(3-x)^2+(-24*ln(3)-6*x+4)*ln(5)*exp(3-x)+(-8*x+24)*ln(3)-2*x^2+4*x+2)*exp(x)+2*ln(5)^2*exp(3-x)^2+(8*ln(3)+2*x-2)*ln(5)*exp(3-x)-8*ln(3)-2*x)/(exp(x)^3-3*exp(x)^2+3*exp(x)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-8 \ln \left(3\right) {\mathrm e}^{x}+{\mathrm e}^{2 x}+2 x +\left(8 \ln \left(3\right) \ln \left(5\right) {\mathrm e}^{3}+2 x \,{\mathrm e}^{3} \ln \left(5\right)\right) {\mathrm e}^{-x}+\ln \left(5\right)^{2} {\mathrm e}^{6-2 x}-\frac{x \left(2 \ln \left(5\right) {\mathrm e}^{3+x}+8 \ln \left(3\right) {\mathrm e}^{x}-2 \,{\mathrm e}^{3} \ln \left(5\right)-8 \ln \left(3\right)-x -2 \,{\mathrm e}^{x}+2\right)}{\left({\mathrm e}^{x}-1\right)^{2}}$&$89$\\ norman&$\frac{\left({\mathrm e}^{6 x}+\left(-2-8 \ln \left(3\right)\right) {\mathrm e}^{5 x}+\left(-2 \,{\mathrm e}^{6} \ln \left(5\right)^{2}+8 \ln \left(3\right) \ln \left(5\right) {\mathrm e}^{3}\right) {\mathrm e}^{x}+\left(8 \ln \left(3\right) \ln \left(5\right) {\mathrm e}^{3}+24 \ln \left(3\right)+2\right) {\mathrm e}^{3 x}+\left({\mathrm e}^{6} \ln \left(5\right)^{2}-16 \ln \left(3\right) \ln \left(5\right) {\mathrm e}^{3}-16 \ln \left(3\right)-1\right) {\mathrm e}^{2 x}+{\mathrm e}^{6} \ln \left(5\right)^{2}+{\mathrm e}^{2 x} x^{2}+\left(-2-8 \ln \left(3\right)\right) x \,{\mathrm e}^{3 x}+\left(8 \ln \left(3\right)-2 \,{\mathrm e}^{3} \ln \left(5\right)\right) x \,{\mathrm e}^{2 x}+2 x \,{\mathrm e}^{4 x}+2 \,{\mathrm e}^{x} \ln \left(5\right) {\mathrm e}^{3} x \right) {\mathrm e}^{-2 x}}{\left({\mathrm e}^{x}-1\right)^{2}}$&$159$\\ \hline \end{longtable}"," ",0,"-8*ln(3)*exp(x)+exp(2*x)+2*x+(8*ln(3)*ln(5)*exp(3)+2*x*exp(3)*ln(5))*exp(-x)+ln(5)^2*exp(6-2*x)-x*(2*ln(5)*exp(3+x)+8*ln(3)*exp(x)-2*exp(3)*ln(5)-8*ln(3)-x-2*exp(x)+2)/(exp(x)-1)^2","B"
1908,1,26,19,0.044000," ","int((4*x^4+6*x^3-2*x^2-2*x+1)*exp(x^4+2*x^3-x^2-2*x+9/4)+6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$6 x +{\mathrm e}^{x^{4}+2 x^{3}-x^{2}-2 x +\frac{9}{4}} x$&$26$\\ norman&$6 x +{\mathrm e}^{x^{4}+2 x^{3}-x^{2}-2 x +\frac{9}{4}} x$&$26$\\ risch&$6 x +{\mathrm e}^{x^{4}+2 x^{3}-x^{2}-2 x +\frac{9}{4}} x$&$26$\\ \hline \end{longtable}"," ",0,"6*x+exp(x^4+2*x^3-x^2-2*x+9/4)*x","A"
1909,1,47,30,55.977000," ","int(((45*x^4+180*x^3+180*x^2)*exp(4)^2+(4*x^4-284*x^3+76*x^2+3120*x+3600)*exp(4)+164*x^2+480*x-3600)/((x^6-26*x^5+109*x^4+780*x^3+900*x^2)*exp(4)^2+(-4*x^5+112*x^4-660*x^3-1800*x^2)*exp(4)+4*x^4-120*x^3+900*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-45 \,{\mathrm e}^{4}-4\right) x^{2}+\left(-90 \,{\mathrm e}^{4}+142\right) x +120}{\left(x^{2} {\mathrm e}^{4}-13 x \,{\mathrm e}^{4}-30 \,{\mathrm e}^{4}-2 x +30\right) x}$&$47$\\ gosper&$-\frac{45 x^{2} {\mathrm e}^{4}+90 x \,{\mathrm e}^{4}+4 x^{2}-142 x -120}{x \left(x^{2} {\mathrm e}^{4}-13 x \,{\mathrm e}^{4}-30 \,{\mathrm e}^{4}-2 x +30\right)}$&$50$\\ norman&$\frac{120-\left(45 \,{\mathrm e}^{8}+4 \,{\mathrm e}^{4}\right) {\mathrm e}^{-4} x^{2}-2 \left(45 \,{\mathrm e}^{8}-71 \,{\mathrm e}^{4}\right) {\mathrm e}^{-4} x}{x \left(x -15\right) \left(x \,{\mathrm e}^{4}+2 \,{\mathrm e}^{4}-2\right)}$&$62$\\ \hline \end{longtable}"," ",0,"((-45*exp(4)-4)*x^2+(-90*exp(4)+142)*x+120)/(x^2*exp(4)-13*x*exp(4)-30*exp(4)-2*x+30)/x","A"
1910,1,80,21,0.143000," ","int((8*(2048*x^7-160*x^4+2*x)*ln(2)^3*ln(5)^3+4*(6144*x^8-480*x^5+512*x^3+6*x^2-8)*ln(2)^2*ln(5)^2+2*(6144*x^9-480*x^6+896*x^4+6*x^3-8*x)*ln(2)*ln(5)+2048*x^10-160*x^7+384*x^5+2*x^4-32)/(8*ln(2)^3*ln(5)^3+12*x*ln(2)^2*ln(5)^2+6*x^2*ln(2)*ln(5)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$256 x^{8}+512 x \ln \left(2\right)^{2} \ln \left(5\right)^{2}-32 x^{5}-256 x^{2} \ln \left(2\right) \ln \left(5\right)+128 x^{3}+x^{2}+\frac{16}{\left(2 \ln \left(2\right) \ln \left(5\right)+x \right)^{2}}+\frac{16 \ln \left(2\right) \ln \left(5\right) \left(128 \ln \left(2\right)^{3} \ln \left(5\right)^{3}+1\right)}{2 \ln \left(2\right) \ln \left(5\right)+x}$&$80$\\ risch&$256 x^{8}+512 x \ln \left(2\right)^{2} \ln \left(5\right)^{2}-32 x^{5}-256 x^{2} \ln \left(2\right) \ln \left(5\right)+128 x^{3}+x^{2}+\frac{\left(512 \ln \left(5\right)^{4} \ln \left(2\right)^{4}+4 \ln \left(2\right) \ln \left(5\right)\right) x +1024 \ln \left(2\right)^{5} \ln \left(5\right)^{5}+8 \ln \left(2\right)^{2} \ln \left(5\right)^{2}+4}{\ln \left(2\right)^{2} \ln \left(5\right)^{2}+x \ln \left(2\right) \ln \left(5\right)+\frac{x^{2}}{4}}$&$105$\\ norman&$\frac{\left(256 \ln \left(2\right) \ln \left(5\right)+1\right) x^{4}+\left(-128 \ln \left(2\right)^{2} \ln \left(5\right)^{2}+128\right) x^{5}+\left(-16 \ln \left(2\right)^{3} \ln \left(5\right)^{3}+16 \ln \left(2\right) \ln \left(5\right)\right) x -32 x^{7}+256 x^{10}+4 \ln \left(2\right) \ln \left(5\right) x^{3}-128 \ln \left(5\right) \ln \left(2\right) x^{6}+1024 \ln \left(5\right) \ln \left(2\right) x^{9}+1024 \ln \left(5\right)^{2} \ln \left(2\right)^{2} x^{8}+16-16 \ln \left(5\right)^{4} \ln \left(2\right)^{4}+32 \ln \left(2\right)^{2} \ln \left(5\right)^{2}}{\left(2 \ln \left(2\right) \ln \left(5\right)+x \right)^{2}}$&$131$\\ gosper&$-\frac{-1024 \ln \left(5\right)^{2} \ln \left(2\right)^{2} x^{8}-1024 \ln \left(5\right) \ln \left(2\right) x^{9}-256 x^{10}+128 \ln \left(5\right)^{2} \ln \left(2\right)^{2} x^{5}+16 \ln \left(5\right)^{4} \ln \left(2\right)^{4}+128 \ln \left(5\right) \ln \left(2\right) x^{6}+16 \ln \left(5\right)^{3} \ln \left(2\right)^{3} x +32 x^{7}-256 x^{4} \ln \left(5\right) \ln \left(2\right)-4 \ln \left(2\right) \ln \left(5\right) x^{3}-128 x^{5}-32 \ln \left(2\right)^{2} \ln \left(5\right)^{2}-x^{4}-16 x \ln \left(2\right) \ln \left(5\right)-16}{4 \ln \left(2\right)^{2} \ln \left(5\right)^{2}+4 x \ln \left(2\right) \ln \left(5\right)+x^{2}}$&$148$\\ \hline \end{longtable}"," ",0,"256*x^8+512*x*ln(2)^2*ln(5)^2-32*x^5-256*x^2*ln(2)*ln(5)+128*x^3+x^2+16/(2*ln(2)*ln(5)+x)^2+16*ln(2)*ln(5)*(128*ln(2)^3*ln(5)^3+1)/(2*ln(2)*ln(5)+x)","B"
1911,1,20,24,0.123000," ","int((exp(2)*ln(2)*exp(1-x)-ln(2))*exp(ln(2)/(ln(ln(5)-5)+exp(2)*exp(1-x)+4+x))*exp(exp(ln(2)/(ln(ln(5)-5)+exp(2)*exp(1-x)+4+x)))/(ln(ln(5)-5)^2+(2*exp(2)*exp(1-x)+2*x+8)*ln(ln(5)-5)+exp(2)^2*exp(1-x)^2+(2*x+8)*exp(2)*exp(1-x)+x^2+8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2^{\frac{1}{\ln \left(\ln \left(5\right)-5\right)+{\mathrm e}^{3-x}+4+x}}}$&$20$\\ \hline \end{longtable}"," ",0,"exp(2^(1/(ln(ln(5)-5)+exp(3-x)+4+x)))","A"
1912,1,26,23,0.089000," ","int(((-x^2*exp(1)*exp(x)-x*exp(2209)+1)*ln(-x^2*exp(1)*exp(x)-x*exp(2209)+1)^2+(-5*x^2-10*x)*exp(1)*exp(x)-5*exp(2209))/(x^2*exp(1)*exp(x)+x*exp(2209)-1)/ln(-x^2*exp(1)*exp(x)-x*exp(2209)+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{5}{\ln \left(-x^{2} {\mathrm e}^{x +1}-x \,{\mathrm e}^{2209}+1\right)}$&$26$\\ norman&$\frac{5-x \ln \left(-x^{2} {\mathrm e} \,{\mathrm e}^{x}-x \,{\mathrm e}^{2209}+1\right)}{\ln \left(-x^{2} {\mathrm e} \,{\mathrm e}^{x}-x \,{\mathrm e}^{2209}+1\right)}$&$43$\\ \hline \end{longtable}"," ",0,"-x+5/ln(-x^2*exp(x+1)-x*exp(2209)+1)","A"
1913,1,33,29,0.040000," ","int(1/3*((24*x^2*exp(x)*ln(x)^2+40*exp(x)*ln(x)+20*exp(x))*exp(1/3*(-3*x^3*ln(x)+5)/x^2/ln(x))+(-12*x^3+24*x^2)*exp(x)*ln(x)^3+(24*x^3-60*x^2)*exp(x)*ln(x)^2)/x^5/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \,{\mathrm e}^{x} \ln \left(x \right)}{x^{2}}+\frac{8 \,{\mathrm e}^{x}}{x^{2}}-\frac{4 \,{\mathrm e}^{\frac{5}{3 x^{2} \ln \left(x \right)}}}{x^{2}}$&$33$\\ \hline \end{longtable}"," ",0,"-4/x^2*exp(x)*ln(x)+8*exp(x)/x^2-4/x^2*exp(5/3/x^2/ln(x))","A"
1914,1,20,20,0.046000," ","int((-4375*x^2-5625*x+37500)*ln(6)/(8*x^10-200*x^9+2000*x^8-10000*x^7+25000*x^6-25000*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{625 x \ln \left(6\right)}{8}+\frac{1875 \ln \left(6\right)}{8}}{x^{4} \left(x -5\right)^{4}}$&$20$\\ gosper&$\frac{625 \left(3+x \right) \ln \left(6\right)}{8 x^{4} \left(x^{4}-20 x^{3}+150 x^{2}-500 x +625\right)}$&$31$\\ risch&$\frac{\left(\ln \left(2\right)+\ln \left(3\right)\right) \left(\frac{625 x}{8}+\frac{1875}{8}\right)}{x^{4} \left(x^{4}-20 x^{3}+150 x^{2}-500 x +625\right)}$&$35$\\ default&$\frac{625 \ln \left(6\right) \left(\frac{3}{625 x^{4}}+\frac{17}{3125 x^{3}}+\frac{2}{625 x^{2}}+\frac{22}{15625 x}+\frac{8}{625 \left(x -5\right)^{4}}-\frac{27}{3125 \left(x -5\right)^{3}}+\frac{12}{3125 \left(x -5\right)^{2}}-\frac{22}{15625 \left(x -5\right)}\right)}{8}$&$54$\\ \hline \end{longtable}"," ",0,"(625/8*x*ln(6)+1875/8*ln(6))/x^4/(x-5)^4","A"
1915,1,18,18,0.024000," ","int(((2*x^3+6*x^2+4*x)*ln(x)-2*x^3-8*x^2-8*x)/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} \left(x^{2}+4 x +4\right)}{2 \ln \left(x \right)^{4}}$&$18$\\ norman&$\frac{2 x^{2}+2 x^{3}+\frac{1}{2} x^{4}}{\ln \left(x \right)^{4}}$&$22$\\ default&$\frac{x^{4}}{2 \ln \left(x \right)^{4}}+\frac{2 x^{3}}{\ln \left(x \right)^{4}}+\frac{2 x^{2}}{\ln \left(x \right)^{4}}$&$29$\\ \hline \end{longtable}"," ",0,"1/2*x^2*(x^2+4*x+4)/ln(x)^4","A"
1916,1,17,18,0.068000," ","int(1/3*((-4*x+4)*exp(x)-12*x^2)*7^(1/3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{7^{\frac{1}{3}} \left(-12 x -\frac{4 \,{\mathrm e}^{x}}{x}\right)}{3}$&$17$\\ risch&$-4 \,7^{\frac{1}{3}} x -\frac{4 \,7^{\frac{1}{3}} {\mathrm e}^{x}}{3 x}$&$18$\\ norman&$\frac{-4 \,7^{\frac{1}{3}} x^{2}-\frac{4 \,7^{\frac{1}{3}} {\mathrm e}^{x}}{3}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"1/3*7^(1/3)*(-12*x-4*exp(x)/x)","A"
1917,1,415,24,0.140000," ","int(1/625*(((2500*x^5+6500*x^4+6400*x^3+3040*x^2+704*x+64)*ln(2)+2500*x^6+6500*x^5+6400*x^4+3040*x^3+704*x^2+64*x)*exp(x)+(2500*x^3+3000*x^2+1200*x+160)*ln(2)+3125*x^4+4000*x^3+1800*x^2+320*x+16)*exp(exp(x)*x)^4+1/625*(((7500*x^6-33000*x^5-117300*x^4-125280*x^3-61728*x^2-14592*x-1344)*ln(2)+7500*x^7-33000*x^6-117300*x^5-125280*x^4-61728*x^3-14592*x^2-1344*x)*exp(x)+(12500*x^4-54000*x^3-76800*x^2-32320*x-4416)*ln(2)+15000*x^5-67500*x^4-102400*x^3-48480*x^2-8832*x-448)*exp(exp(x)*x)^3+1/625*(((7500*x^7-85500*x^6+113700*x^5+695820*x^4+815232*x^3+417504*x^2+100800*x+9408)*ln(2)+7500*x^8-85500*x^7+113700*x^6+695820*x^5+815232*x^4+417504*x^3+100800*x^2+9408*x)*exp(x)+(22500*x^5-232500*x^4+413400*x^3+733680*x^2+326112*x+45696)*ln(2)+26250*x^6-279000*x^5+516750*x^4+978240*x^3+489168*x^2+91392*x+4704)*exp(exp(x)*x)^2+1/625*(((2500*x^8-46000*x^7+237400*x^6-33360*x^5-1351836*x^4-1763040*x^3-940576*x^2-232064*x-21952)*ln(2)+2500*x^9-46000*x^8+237400*x^7-33360*x^6-1351836*x^5-1763040*x^4-940576*x^3-232064*x^2-21952*x)*exp(x)+(17500*x^6-291000*x^5+1429500*x^4-1277040*x^3-3097728*x^2-1460928*x-210112)*ln(2)+20000*x^7-339500*x^6+1715400*x^5-1596300*x^4-4130304*x^3-2191392*x^2-420224*x-21952)*exp(exp(x)*x)+1/625*(5000*x^7-115500*x^6+938100*x^5-2900700*x^4+1202244*x^3+4873176*x^2+2451568*x+362208)*ln(2)+9*x^8-1056/5*x^7+43778/25*x^6-696168/125*x^5+300561/125*x^4+6497568/625*x^3+3677352/625*x^2+724416/625*x+38416/625,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(625 x^{4} \ln \left(2\right)+625 x^{5}+1000 x^{3} \ln \left(2\right)+1000 x^{4}+600 x^{2} \ln \left(2\right)+600 x^{3}+160 x \ln \left(2\right)+160 x^{2}+16 \ln \left(2\right)+16 x \right) {\mathrm e}^{4 \,{\mathrm e}^{x} x}}{625}+\frac{\left(2500 x^{5} \ln \left(2\right)+2500 x^{6}-13500 x^{4} \ln \left(2\right)-13500 x^{5}-25600 x^{3} \ln \left(2\right)-25600 x^{4}-16160 x^{2} \ln \left(2\right)-16160 x^{3}-4416 x \ln \left(2\right)-4416 x^{2}-448 \ln \left(2\right)-448 x \right) {\mathrm e}^{3 \,{\mathrm e}^{x} x}}{625}+\frac{\left(3750 x^{6} \ln \left(2\right)+3750 x^{7}-46500 x^{5} \ln \left(2\right)-46500 x^{6}+103350 x^{4} \ln \left(2\right)+103350 x^{5}+244560 x^{3} \ln \left(2\right)+244560 x^{4}+163056 x^{2} \ln \left(2\right)+163056 x^{3}+45696 x \ln \left(2\right)+45696 x^{2}+4704 \ln \left(2\right)+4704 x \right) {\mathrm e}^{2 \,{\mathrm e}^{x} x}}{625}+\frac{\left(2500 x^{7} \ln \left(2\right)+2500 x^{8}-48500 x^{6} \ln \left(2\right)-48500 x^{7}+285900 x^{5} \ln \left(2\right)+285900 x^{6}-319260 x^{4} \ln \left(2\right)-319260 x^{5}-1032576 x^{3} \ln \left(2\right)-1032576 x^{4}-730464 x^{2} \ln \left(2\right)-730464 x^{3}-210112 x \ln \left(2\right)-210112 x^{2}-21952 \ln \left(2\right)-21952 x \right) {\mathrm e}^{{\mathrm e}^{x} x}}{625}+x^{8} \ln \left(2\right)-\frac{132 x^{7} \ln \left(2\right)}{5}+\frac{6254 x^{6} \ln \left(2\right)}{25}-\frac{116028 x^{5} \ln \left(2\right)}{125}+\frac{300561 x^{4} \ln \left(2\right)}{625}+\frac{1624392 x^{3} \ln \left(2\right)}{625}+\frac{1225784 x^{2} \ln \left(2\right)}{625}+\frac{362208 x \ln \left(2\right)}{625}+x^{9}-\frac{132 x^{8}}{5}+\frac{6254 x^{7}}{25}-\frac{116028 x^{6}}{125}+\frac{300561 x^{5}}{625}+\frac{1624392 x^{4}}{625}+\frac{1225784 x^{3}}{625}+\frac{362208 x^{2}}{625}+\frac{38416 x}{625}$&$415$\\ \hline \end{longtable}"," ",0,"1/625*(625*x^4*ln(2)+625*x^5+1000*x^3*ln(2)+1000*x^4+600*x^2*ln(2)+600*x^3+160*x*ln(2)+160*x^2+16*ln(2)+16*x)*exp(4*exp(x)*x)+1/625*(2500*x^5*ln(2)+2500*x^6-13500*x^4*ln(2)-13500*x^5-25600*x^3*ln(2)-25600*x^4-16160*x^2*ln(2)-16160*x^3-4416*x*ln(2)-4416*x^2-448*ln(2)-448*x)*exp(3*exp(x)*x)+1/625*(3750*x^6*ln(2)+3750*x^7-46500*x^5*ln(2)-46500*x^6+103350*x^4*ln(2)+103350*x^5+244560*x^3*ln(2)+244560*x^4+163056*x^2*ln(2)+163056*x^3+45696*x*ln(2)+45696*x^2+4704*ln(2)+4704*x)*exp(2*exp(x)*x)+1/625*(2500*x^7*ln(2)+2500*x^8-48500*x^6*ln(2)-48500*x^7+285900*x^5*ln(2)+285900*x^6-319260*x^4*ln(2)-319260*x^5-1032576*x^3*ln(2)-1032576*x^4-730464*x^2*ln(2)-730464*x^3-210112*x*ln(2)-210112*x^2-21952*ln(2)-21952*x)*exp(exp(x)*x)+x^8*ln(2)-132/5*x^7*ln(2)+6254/25*x^6*ln(2)-116028/125*x^5*ln(2)+300561/625*x^4*ln(2)+1624392/625*x^3*ln(2)+1225784/625*x^2*ln(2)+362208/625*x*ln(2)+x^9-132/5*x^8+6254/25*x^7-116028/125*x^6+300561/625*x^5+1624392/625*x^4+1225784/625*x^3+362208/625*x^2+38416/625*x","B"
1918,1,332,27,0.074000," ","int(((512*x^2+2816*x-256)*ln(ln(3))^3+((-384*x^2-2112*x+192)*ln(1/3*x)+384*x^4+6336*x^3+33408*x^2+54912*x-5184)*ln(ln(3))^2+((96*x^2+528*x-48)*ln(1/3*x)^2+(-192*x^4-3168*x^3-16704*x^2-27456*x+2592)*ln(1/3*x)+96*x^6+2640*x^5+28368*x^4+148368*x^3+375216*x^2+356400*x-34992)*ln(ln(3))+(-8*x^2-44*x+4)*ln(1/3*x)^3+(24*x^4+396*x^3+2088*x^2+3432*x-324)*ln(1/3*x)^2+(-24*x^6-660*x^5-7092*x^4-37092*x^3-93804*x^2-89100*x+8748)*ln(1/3*x)+8*x^8+308*x^7+5000*x^6+44308*x^5+231100*x^4+707476*x^3+1168020*x^2+769826*x-78732)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$866054 x +44 x^{7}+x^{8}-78732 \ln \left(x \right)+58219 x^{4}+239976 x^{3}+607986 x^{2}+834 x^{6}+8888 x^{5}+191808 x^{2} \ln \left(\ln \left(3\right)\right)+49808 x^{3} \ln \left(\ln \left(3\right)\right)+384912 \ln \left(\ln \left(3\right)\right) x -256 \ln \left(x \right) \ln \left(\ln \left(3\right)\right)^{3}-5184 \ln \left(x \right) \ln \left(\ln \left(3\right)\right)^{2}+\left(-4 x^{2}-16 \ln \left(\ln \left(3\right)\right)-44 x -108\right) \ln \left(\frac{x}{3}\right)^{3}+\left(6 x^{4}+48 x^{2} \ln \left(\ln \left(3\right)\right)+132 x^{3}+96 \ln \left(\ln \left(3\right)\right)^{2}+528 \ln \left(\ln \left(3\right)\right) x +1050 x^{2}+1296 \ln \left(\ln \left(3\right)\right)+3564 x +4374\right) \ln \left(\frac{x}{3}\right)^{2}+\left(-4 x^{6}-48 \ln \left(\ln \left(3\right)\right) x^{4}-132 x^{5}-192 \ln \left(\ln \left(3\right)\right)^{2} x^{2}-1056 x^{3} \ln \left(\ln \left(3\right)\right)-1776 x^{4}-2112 \ln \left(\ln \left(3\right)\right)^{2} x -8400 x^{2} \ln \left(\ln \left(3\right)\right)-12452 x^{3}-28512 \ln \left(\ln \left(3\right)\right) x -47952 x^{2}-96228 x \right) \ln \left(\frac{x}{3}\right)+\ln \left(\frac{x}{3}\right)^{4}+7104 \ln \left(\ln \left(3\right)\right) x^{4}-34992 \ln \left(\ln \left(3\right)\right) \ln \left(x \right)+16 \ln \left(\ln \left(3\right)\right) x^{6}+96 \ln \left(\ln \left(3\right)\right)^{2} x^{4}+528 \ln \left(\ln \left(3\right)\right) x^{5}+256 \ln \left(\ln \left(3\right)\right)^{3} x^{2}+2112 \ln \left(\ln \left(3\right)\right)^{2} x^{3}+16800 \ln \left(\ln \left(3\right)\right)^{2} x^{2}+57024 \ln \left(\ln \left(3\right)\right)^{2} x +2816 \ln \left(\ln \left(3\right)\right)^{3} x$&$332$\\ derivativedivides&$866054 x -47952 x^{2} \ln \left(\frac{x}{3}\right)-132 x^{5} \ln \left(\frac{x}{3}\right)-12452 x^{3} \ln \left(\frac{x}{3}\right)+3564 x \ln \left(\frac{x}{3}\right)^{2}-78732 \ln \left(\frac{x}{3}\right)+44 x^{7}+x^{8}+58219 x^{4}+239976 x^{3}+607986 x^{2}+834 x^{6}+8888 x^{5}+187608 x^{2} \ln \left(\ln \left(3\right)\right)+1050 x^{2} \ln \left(\frac{x}{3}\right)^{2}+6 x^{4} \ln \left(\frac{x}{3}\right)^{2}-96228 x \ln \left(\frac{x}{3}\right)-1776 x^{4} \ln \left(\frac{x}{3}\right)+49456 x^{3} \ln \left(\ln \left(3\right)\right)+356400 \ln \left(\ln \left(3\right)\right) x +132 x^{3} \ln \left(\frac{x}{3}\right)^{2}+4374 \ln \left(\frac{x}{3}\right)^{2}+\ln \left(\frac{x}{3}\right)^{4}+7092 \ln \left(\ln \left(3\right)\right) x^{4}-4 \ln \left(\frac{x}{3}\right) x^{6}+16 \ln \left(\ln \left(3\right)\right) x^{6}+96 \ln \left(\ln \left(3\right)\right)^{2} x^{4}+528 \ln \left(\ln \left(3\right)\right) x^{5}-4 \ln \left(\frac{x}{3}\right)^{3} x^{2}+256 \ln \left(\ln \left(3\right)\right)^{3} x^{2}+2112 \ln \left(\ln \left(3\right)\right)^{2} x^{3}+16704 \ln \left(\ln \left(3\right)\right)^{2} x^{2}+1296 \ln \left(\frac{x}{3}\right)^{2} \ln \left(\ln \left(3\right)\right)-5184 \ln \left(\frac{x}{3}\right) \ln \left(\ln \left(3\right)\right)^{2}+54912 \ln \left(\ln \left(3\right)\right)^{2} x -34992 \ln \left(\frac{x}{3}\right) \ln \left(\ln \left(3\right)\right)-44 \ln \left(\frac{x}{3}\right)^{3} x +2816 \ln \left(\ln \left(3\right)\right)^{3} x -16 \ln \left(\ln \left(3\right)\right) \ln \left(\frac{x}{3}\right)^{3}+96 \ln \left(\ln \left(3\right)\right)^{2} \ln \left(\frac{x}{3}\right)^{2}-15552 \ln \left(\ln \left(3\right)\right) \left(\frac{x^{4} \ln \left(\frac{x}{3}\right)}{324}-\frac{x^{4}}{1296}\right)+864 \ln \left(\ln \left(3\right)\right) \left(\frac{x^{2} \ln \left(\frac{x}{3}\right)^{2}}{18}-\frac{x^{2} \ln \left(\frac{x}{3}\right)}{18}+\frac{x^{2}}{36}\right)-3456 \ln \left(\ln \left(3\right)\right)^{2} \left(\frac{x^{2} \ln \left(\frac{x}{3}\right)}{18}-\frac{x^{2}}{36}\right)-85536 \ln \left(\ln \left(3\right)\right) \left(\frac{x^{3} \ln \left(\frac{x}{3}\right)}{81}-\frac{x^{3}}{243}\right)-150336 \ln \left(\ln \left(3\right)\right) \left(\frac{x^{2} \ln \left(\frac{x}{3}\right)}{18}-\frac{x^{2}}{36}\right)+1584 \ln \left(\ln \left(3\right)\right) \left(\frac{x \ln \left(\frac{x}{3}\right)^{2}}{3}-\frac{2 x \ln \left(\frac{x}{3}\right)}{3}+\frac{2 x}{3}\right)-6336 \ln \left(\ln \left(3\right)\right)^{2} \left(\frac{x \ln \left(\frac{x}{3}\right)}{3}-\frac{x}{3}\right)-82368 \ln \left(\ln \left(3\right)\right) \left(\frac{x \ln \left(\frac{x}{3}\right)}{3}-\frac{x}{3}\right)-256 \ln \left(\ln \left(3\right)\right)^{3} \ln \left(\frac{x}{3}\right)-108 \ln \left(\frac{x}{3}\right)^{3}$&$520$\\ default&$866054 x -47952 x^{2} \ln \left(\frac{x}{3}\right)-132 x^{5} \ln \left(\frac{x}{3}\right)-12452 x^{3} \ln \left(\frac{x}{3}\right)+3564 x \ln \left(\frac{x}{3}\right)^{2}-78732 \ln \left(\frac{x}{3}\right)+44 x^{7}+x^{8}+58219 x^{4}+239976 x^{3}+607986 x^{2}+834 x^{6}+8888 x^{5}+187608 x^{2} \ln \left(\ln \left(3\right)\right)+1050 x^{2} \ln \left(\frac{x}{3}\right)^{2}+6 x^{4} \ln \left(\frac{x}{3}\right)^{2}-96228 x \ln \left(\frac{x}{3}\right)-1776 x^{4} \ln \left(\frac{x}{3}\right)+49456 x^{3} \ln \left(\ln \left(3\right)\right)+356400 \ln \left(\ln \left(3\right)\right) x +132 x^{3} \ln \left(\frac{x}{3}\right)^{2}+4374 \ln \left(\frac{x}{3}\right)^{2}+\ln \left(\frac{x}{3}\right)^{4}+7092 \ln \left(\ln \left(3\right)\right) x^{4}-4 \ln \left(\frac{x}{3}\right) x^{6}+16 \ln \left(\ln \left(3\right)\right) x^{6}+96 \ln \left(\ln \left(3\right)\right)^{2} x^{4}+528 \ln \left(\ln \left(3\right)\right) x^{5}-4 \ln \left(\frac{x}{3}\right)^{3} x^{2}+256 \ln \left(\ln \left(3\right)\right)^{3} x^{2}+2112 \ln \left(\ln \left(3\right)\right)^{2} x^{3}+16704 \ln \left(\ln \left(3\right)\right)^{2} x^{2}+1296 \ln \left(\frac{x}{3}\right)^{2} \ln \left(\ln \left(3\right)\right)-5184 \ln \left(\frac{x}{3}\right) \ln \left(\ln \left(3\right)\right)^{2}+54912 \ln \left(\ln \left(3\right)\right)^{2} x -34992 \ln \left(\frac{x}{3}\right) \ln \left(\ln \left(3\right)\right)-44 \ln \left(\frac{x}{3}\right)^{3} x +2816 \ln \left(\ln \left(3\right)\right)^{3} x -16 \ln \left(\ln \left(3\right)\right) \ln \left(\frac{x}{3}\right)^{3}+96 \ln \left(\ln \left(3\right)\right)^{2} \ln \left(\frac{x}{3}\right)^{2}-15552 \ln \left(\ln \left(3\right)\right) \left(\frac{x^{4} \ln \left(\frac{x}{3}\right)}{324}-\frac{x^{4}}{1296}\right)+864 \ln \left(\ln \left(3\right)\right) \left(\frac{x^{2} \ln \left(\frac{x}{3}\right)^{2}}{18}-\frac{x^{2} \ln \left(\frac{x}{3}\right)}{18}+\frac{x^{2}}{36}\right)-3456 \ln \left(\ln \left(3\right)\right)^{2} \left(\frac{x^{2} \ln \left(\frac{x}{3}\right)}{18}-\frac{x^{2}}{36}\right)-85536 \ln \left(\ln \left(3\right)\right) \left(\frac{x^{3} \ln \left(\frac{x}{3}\right)}{81}-\frac{x^{3}}{243}\right)-150336 \ln \left(\ln \left(3\right)\right) \left(\frac{x^{2} \ln \left(\frac{x}{3}\right)}{18}-\frac{x^{2}}{36}\right)+1584 \ln \left(\ln \left(3\right)\right) \left(\frac{x \ln \left(\frac{x}{3}\right)^{2}}{3}-\frac{2 x \ln \left(\frac{x}{3}\right)}{3}+\frac{2 x}{3}\right)-6336 \ln \left(\ln \left(3\right)\right)^{2} \left(\frac{x \ln \left(\frac{x}{3}\right)}{3}-\frac{x}{3}\right)-82368 \ln \left(\ln \left(3\right)\right) \left(\frac{x \ln \left(\frac{x}{3}\right)}{3}-\frac{x}{3}\right)-256 \ln \left(\ln \left(3\right)\right)^{3} \ln \left(\frac{x}{3}\right)-108 \ln \left(\frac{x}{3}\right)^{3}$&$520$\\ \hline \end{longtable}"," ",0,"866054*x+44*x^7+x^8-78732*ln(x)+58219*x^4+239976*x^3+607986*x^2+834*x^6+8888*x^5+191808*x^2*ln(ln(3))+49808*x^3*ln(ln(3))+384912*ln(ln(3))*x-256*ln(x)*ln(ln(3))^3-5184*ln(x)*ln(ln(3))^2+(-4*x^2-16*ln(ln(3))-44*x-108)*ln(1/3*x)^3+(6*x^4+48*x^2*ln(ln(3))+132*x^3+96*ln(ln(3))^2+528*ln(ln(3))*x+1050*x^2+1296*ln(ln(3))+3564*x+4374)*ln(1/3*x)^2+(-4*x^6-48*ln(ln(3))*x^4-132*x^5-192*ln(ln(3))^2*x^2-1056*x^3*ln(ln(3))-1776*x^4-2112*ln(ln(3))^2*x-8400*x^2*ln(ln(3))-12452*x^3-28512*ln(ln(3))*x-47952*x^2-96228*x)*ln(1/3*x)+ln(1/3*x)^4+7104*ln(ln(3))*x^4-34992*ln(ln(3))*ln(x)+16*ln(ln(3))*x^6+96*ln(ln(3))^2*x^4+528*ln(ln(3))*x^5+256*ln(ln(3))^3*x^2+2112*ln(ln(3))^2*x^3+16800*ln(ln(3))^2*x^2+57024*ln(ln(3))^2*x+2816*ln(ln(3))^3*x","B"
1919,1,11,19,0.021000," ","int(1/2*(8*ln(2)-3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-4 \ln \left(2\right)+\frac{3}{2}}{x}$&$11$\\ gosper&$-\frac{8 \ln \left(2\right)-3}{2 x}$&$12$\\ default&$-\frac{4 \ln \left(2\right)-\frac{3}{2}}{x}$&$12$\\ risch&$-\frac{4 \ln \left(2\right)}{x}+\frac{3}{2 x}$&$14$\\ \hline \end{longtable}"," ",0,"(-4*ln(2)+3/2)/x","A"
1920,1,29,27,0.786000," ","int(((-27*x+108)*ln(5)+(-9*x+45)*exp(2)+81*x^2-81*x-540)/(27*x^3*ln(5)^3+((27*x^3+27*x^2)*exp(2)-81*x^4-405*x^3)*ln(5)^2+((9*x^3+18*x^2+9*x)*exp(2)^2+(-54*x^4-324*x^3-270*x^2)*exp(2)+81*x^5+810*x^4+2025*x^3)*ln(5)+(x^3+3*x^2+3*x+1)*exp(2)^3+(-9*x^4-63*x^3-99*x^2-45*x)*exp(2)^2+(27*x^5+297*x^4+945*x^3+675*x^2)*exp(2)-27*x^6-405*x^5-2025*x^4-3375*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{9 x -18}{\left({\mathrm e}^{2} x +3 x \ln \left(5\right)-3 x^{2}+{\mathrm e}^{2}-15 x \right)^{2}}$&$29$\\ risch&$\frac{9 x -18}{x^{2} {\mathrm e}^{4}+6 \,{\mathrm e}^{2} \ln \left(5\right) x^{2}-6 x^{3} {\mathrm e}^{2}+9 x^{2} \ln \left(5\right)^{2}-18 x^{3} \ln \left(5\right)+9 x^{4}+2 x \,{\mathrm e}^{4}+6 x \,{\mathrm e}^{2} \ln \left(5\right)-36 x^{2} {\mathrm e}^{2}-90 x^{2} \ln \left(5\right)+90 x^{3}+{\mathrm e}^{4}-30 \,{\mathrm e}^{2} x +225 x^{2}}$&$96$\\ gosper&$\frac{9 x -18}{x^{2} {\mathrm e}^{4}+6 \,{\mathrm e}^{2} \ln \left(5\right) x^{2}-6 x^{3} {\mathrm e}^{2}+9 x^{2} \ln \left(5\right)^{2}-18 x^{3} \ln \left(5\right)+9 x^{4}+2 x \,{\mathrm e}^{4}+6 x \,{\mathrm e}^{2} \ln \left(5\right)-36 x^{2} {\mathrm e}^{2}-90 x^{2} \ln \left(5\right)+90 x^{3}+{\mathrm e}^{4}-30 \,{\mathrm e}^{2} x +225 x^{2}}$&$101$\\ default&$-3 \left(\munderset{\textit{\_R} =\RootOf \left(27 \textit{\_Z}^{6}+\left(-27 \,{\mathrm e}^{2}-81 \ln \left(5\right)+405\right) \textit{\_Z}^{5}+\left(54 \,{\mathrm e}^{2} \ln \left(5\right)+81 \ln \left(5\right)^{2}-297 \,{\mathrm e}^{2}-810 \ln \left(5\right)+9 \,{\mathrm e}^{4}+2025\right) \textit{\_Z}^{4}+\left(-27 \,{\mathrm e}^{2} \ln \left(5\right)^{2}-27 \ln \left(5\right)^{3}+324 \,{\mathrm e}^{2} \ln \left(5\right)+405 \ln \left(5\right)^{2}-9 \,{\mathrm e}^{4} \ln \left(5\right)-945 \,{\mathrm e}^{2}-2025 \ln \left(5\right)+63 \,{\mathrm e}^{4}-{\mathrm e}^{6}+3375\right) \textit{\_Z}^{3}+\left(-27 \,{\mathrm e}^{2} \ln \left(5\right)^{2}+270 \,{\mathrm e}^{2} \ln \left(5\right)-18 \,{\mathrm e}^{4} \ln \left(5\right)-675 \,{\mathrm e}^{2}+99 \,{\mathrm e}^{4}-3 \,{\mathrm e}^{6}\right) \textit{\_Z}^{2}+\left(-9 \,{\mathrm e}^{4} \ln \left(5\right)+45 \,{\mathrm e}^{4}-3 \,{\mathrm e}^{6}\right) \textit{\_Z} -{\mathrm e}^{6}\right)}{\sum}\frac{\left(-9 \textit{\_R}^{2}+\left({\mathrm e}^{2}+3 \ln \left(5\right)+9\right) \textit{\_R} -5 \,{\mathrm e}^{2}-12 \ln \left(5\right)+60\right) \ln \left(x -\textit{\_R} \right)}{9 \,{\mathrm e}^{4} \ln \left(5\right) \textit{\_R}^{2}-324 \,{\mathrm e}^{2} \ln \left(5\right) \textit{\_R}^{2}+27 \,{\mathrm e}^{2} \ln \left(5\right)^{2} \textit{\_R}^{2}-72 \,{\mathrm e}^{2} \ln \left(5\right) \textit{\_R}^{3}+18 \,{\mathrm e}^{2} \ln \left(5\right)^{2} \textit{\_R} -180 \textit{\_R} \,{\mathrm e}^{2} \ln \left(5\right)+12 \textit{\_R} \,{\mathrm e}^{4} \ln \left(5\right)+{\mathrm e}^{6}-15 \,{\mathrm e}^{4}+3 \,{\mathrm e}^{4} \ln \left(5\right)-63 \textit{\_R}^{2} {\mathrm e}^{4}+2 \textit{\_R} \,{\mathrm e}^{6}-66 \textit{\_R} \,{\mathrm e}^{4}+450 \,{\mathrm e}^{2} \textit{\_R} -12 \textit{\_R}^{3} {\mathrm e}^{4}+945 \textit{\_R}^{2} {\mathrm e}^{2}-675 \textit{\_R}^{4}-2700 \textit{\_R}^{3}-3375 \textit{\_R}^{2}-108 \textit{\_R}^{3} \ln \left(5\right)^{2}+\textit{\_R}^{2} {\mathrm e}^{6}+2025 \textit{\_R}^{2} \ln \left(5\right)-405 \textit{\_R}^{2} \ln \left(5\right)^{2}+396 \textit{\_R}^{3} {\mathrm e}^{2}+45 \textit{\_R}^{4} {\mathrm e}^{2}+1080 \textit{\_R}^{3} \ln \left(5\right)+135 \textit{\_R}^{4} \ln \left(5\right)+27 \textit{\_R}^{2} \ln \left(5\right)^{3}-54 \textit{\_R}^{5}}\right)$&$401$\\ \hline \end{longtable}"," ",0,"(9*x-18)/(exp(2)*x+3*x*ln(5)-3*x^2+exp(2)-15*x)^2","A"
1921,1,28,19,0.080000," ","int((exp(-x^2+3)+6*x)*exp(((5+x)*exp(-x^2+3)+3)/exp(-x^2+3))*exp(exp(((5+x)*exp(-x^2+3)+3)/exp(-x^2+3)))/exp(-x^2+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{{\mathrm e}^{\left(\left(5+x \right) {\mathrm e}^{-x^{2}+3}+3\right) {\mathrm e}^{x^{2}-3}}}$&$28$\\ risch&${\mathrm e}^{{\mathrm e}^{\left(x \,{\mathrm e}^{-x^{2}+3}+5 \,{\mathrm e}^{-x^{2}+3}+3\right) {\mathrm e}^{x^{2}-3}}}$&$32$\\ \hline \end{longtable}"," ",0,"exp(exp(((5+x)*exp(-x^2+3)+3)/exp(-x^2+3)))","A"
1922,1,35,23,0.054000," ","int(((128*x+576)*ln(2)+(-64*x^2-384*x)*exp(3)+2*x^5+4*x^4)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{5}+4 x^{4}+64 x^{2} {\mathrm e}^{3}+192 x \,{\mathrm e}^{3}-64 x \ln \left(2\right)-192 \ln \left(2\right)}{x^{3}}$&$35$\\ risch&$x^{2}+4 x +\frac{64 x^{2} {\mathrm e}^{3}+\left(192 \,{\mathrm e}^{3}-64 \ln \left(2\right)\right) x -192 \ln \left(2\right)}{x^{3}}$&$35$\\ default&$4 x +x^{2}+\frac{64 \,{\mathrm e}^{3}}{x}-\frac{-192 \,{\mathrm e}^{3}+64 \ln \left(2\right)}{x^{2}}-\frac{192 \ln \left(2\right)}{x^{3}}$&$36$\\ norman&$\frac{x^{5}+\left(192 \,{\mathrm e}^{3}-64 \ln \left(2\right)\right) x +4 x^{4}+64 x^{2} {\mathrm e}^{3}-192 \ln \left(2\right)}{x^{3}}$&$36$\\ \hline \end{longtable}"," ",0,"(x^5+4*x^4+64*x^2*exp(3)+192*x*exp(3)-64*x*ln(2)-192*ln(2))/x^3","A"
1923,1,22,21,0.088000," ","int(((-x^3+2*x^2+7*x+2)*exp(1/x)+x^3-2*x^2-6*x)/((x^3+2*x^2)*exp(1/x)-x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x +3 \ln \left(x \right)-\ln \left({\mathrm e}^{\frac{1}{x}}-1\right)+\ln \left(2+x \right)$&$22$\\ risch&$-x +3 \ln \left(x \right)-\ln \left({\mathrm e}^{\frac{1}{x}}-1\right)+\ln \left(2+x \right)$&$22$\\ \hline \end{longtable}"," ",0,"-x+3*ln(x)-ln(exp(1/x)-1)+ln(2+x)","A"
1924,1,23,27,0.030000," ","int(1/5*((12*x^2+32*x+32)*ln(x)+4*x^2+16*x+32)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(4 x^{3}+16 x^{2}+32 x \right) \ln \left(x \right)}{5 \ln \left(5\right)}$&$23$\\ default&$\frac{4 x^{3} \ln \left(x \right)+16 x^{2} \ln \left(x \right)+32 x \ln \left(x \right)}{5 \ln \left(5\right)}$&$27$\\ norman&$\frac{32 x \ln \left(x \right)}{5 \ln \left(5\right)}+\frac{16 x^{2} \ln \left(x \right)}{5 \ln \left(5\right)}+\frac{4 x^{3} \ln \left(x \right)}{5 \ln \left(5\right)}$&$33$\\ \hline \end{longtable}"," ",0,"1/5/ln(5)*(4*x^3+16*x^2+32*x)*ln(x)","A"
1925,0,0,18,0.033000," ","int(((2*x^2*ln(4*x)+(2*x-2)*ln(x)+2*x^3+10*x^2+2*x+2)*ln((x*ln(4*x)+ln(x)+x^2+4*x)/x)+2*x^3*ln(4*x)+(2*x^2-2*x)*ln(x)+2*x^4+10*x^3+2*x^2+2*x)/(x^2*ln(4*x)+x*ln(x)+x^3+4*x^2),x)","\[\int \frac{\left(2 x^{2} \ln \left(4 x \right)+\left(2 x -2\right) \ln \left(x \right)+2 x^{3}+10 x^{2}+2 x +2\right) \ln \left(\frac{x \ln \left(4 x \right)+\ln \left(x \right)+x^{2}+4 x}{x}\right)+2 x^{3} \ln \left(4 x \right)+\left(2 x^{2}-2 x \right) \ln \left(x \right)+2 x^{4}+10 x^{3}+2 x^{2}+2 x}{x^{2} \ln \left(4 x \right)+x \ln \left(x \right)+x^{3}+4 x^{2}}\, dx\]"," ",0,"int(((2*x^2*ln(4*x)+(2*x-2)*ln(x)+2*x^3+10*x^2+2*x+2)*ln((x*ln(4*x)+ln(x)+x^2+4*x)/x)+2*x^3*ln(4*x)+(2*x^2-2*x)*ln(x)+2*x^4+10*x^3+2*x^2+2*x)/(x^2*ln(4*x)+x*ln(x)+x^3+4*x^2),x)","F"
1926,1,23,20,0.076000," ","int(((-2*x*exp(2)*exp(x)-8*x)*ln((exp(2)*exp(x)+4)/exp(2))+(2*x^2+2)*exp(2)*exp(x)+12*x^2+8)/(exp(2)*exp(x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+2 x -x^{2} \ln \left(\left({\mathrm e}^{2+x}+4\right) {\mathrm e}^{-2}\right)$&$23$\\ norman&$x^{3}+2 x -x^{2} \ln \left(\left({\mathrm e}^{2} {\mathrm e}^{x}+4\right) {\mathrm e}^{-2}\right)$&$26$\\ \hline \end{longtable}"," ",0,"x^3+2*x-x^2*ln((exp(2+x)+4)*exp(-2))","A"
1927,1,43,24,0.112000," ","int(((2*(-4*x^2-4*x)*ln(2)*exp(x)*ln(x)+8*x*ln(2)*exp(x)-16*ln(2))*exp(-3+exp(exp(x)))^2+((-8*x^2*ln(2)*exp(x)^2+16*x*ln(2)*exp(x))*exp(exp(x))+2*(-4*x^2-4*x)*ln(2)*exp(x))*exp(-3+exp(exp(x))))/(x*ln(x)^2*exp(-3+exp(exp(x)))^2+2*x*ln(x)*exp(-3+exp(exp(x)))+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{8 \left({\mathrm e}^{x} x -2\right) \ln \left(2\right)}{\ln \left(x \right)}+\frac{8 \left({\mathrm e}^{x} x -2\right) \ln \left(2\right)}{\ln \left(x \right) \left(\ln \left(x \right) {\mathrm e}^{-3+{\mathrm e}^{{\mathrm e}^{x}}}+1\right)}$&$43$\\ \hline \end{longtable}"," ",0,"-8*(exp(x)*x-2)*ln(2)/ln(x)+8*(exp(x)*x-2)*ln(2)/ln(x)/(ln(x)*exp(-3+exp(exp(x)))+1)","A"
1928,1,17,12,0.082000," ","int((-6*exp(1)+3*x^2)*exp((exp(1)+4*x^2)/x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$3 \,{\mathrm e}^{\frac{{\mathrm e}+4 x^{2}}{x^{2}}} x$&$17$\\ norman&$3 \,{\mathrm e}^{\frac{{\mathrm e}+4 x^{2}}{x^{2}}} x$&$17$\\ risch&$3 \,{\mathrm e}^{\frac{{\mathrm e}+4 x^{2}}{x^{2}}} x$&$17$\\ meijerg&$3 \,{\mathrm e}^{\frac{9}{2}} \sqrt{\pi}\, \erfi \left(\frac{{\mathrm e}^{\frac{1}{2}}}{x}\right)-\frac{3 i {\mathrm e}^{\frac{9}{2}} \left(2 i x \,{\mathrm e}^{-\frac{1}{2}+\frac{{\mathrm e}}{x^{2}}}-2 i \sqrt{\pi}\, \erfi \left(\frac{{\mathrm e}^{\frac{1}{2}}}{x}\right)\right)}{2}$&$48$\\ derivativedivides&$-3 \,{\mathrm e}^{4} \left(-x \,{\mathrm e}^{\frac{{\mathrm e}}{x^{2}}}-i {\mathrm e}^{\frac{1}{2}} \sqrt{\pi}\, \erf \left(\frac{i {\mathrm e}^{\frac{1}{2}}}{x}\right)\right)-3 i {\mathrm e}^{\frac{1}{2}} {\mathrm e}^{4} \sqrt{\pi}\, \erf \left(\frac{i {\mathrm e}^{\frac{1}{2}}}{x}\right)$&$61$\\ default&$-3 \,{\mathrm e}^{4} \left(-x \,{\mathrm e}^{\frac{{\mathrm e}}{x^{2}}}-i {\mathrm e}^{\frac{1}{2}} \sqrt{\pi}\, \erf \left(\frac{i {\mathrm e}^{\frac{1}{2}}}{x}\right)\right)-3 i {\mathrm e}^{\frac{1}{2}} {\mathrm e}^{4} \sqrt{\pi}\, \erf \left(\frac{i {\mathrm e}^{\frac{1}{2}}}{x}\right)$&$61$\\ \hline \end{longtable}"," ",0,"3*exp((exp(1)+4*x^2)/x^2)*x","A"
1929,1,16,21,0.062000," ","int(((-2*exp(5)^2+14)*exp((exp(5)^2-4*x-7)/x)^2+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 \,{\mathrm e}^{10}-8 x -14}{x}}+x$&$16$\\ norman&$\frac{x^{2}+x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{10}-8 x -14}{x}}}{x}$&$27$\\ derivativedivides&$x +{\mathrm e}^{\frac{2 \,{\mathrm e}^{10}}{x}-8-\frac{14}{x}}$&$39$\\ default&$x +{\mathrm e}^{\frac{2 \,{\mathrm e}^{10}}{x}-8-\frac{14}{x}}$&$39$\\ \hline \end{longtable}"," ",0,"exp(2*(exp(10)-4*x-7)/x)+x","A"
1930,1,38,30,0.181000," ","int((((-9*x^2+36*x)*exp(x)+9*x^3-57*x^2+99*x-27)*exp((-3*exp(x)+(-3*x+9)*exp(3)+3*x^2-9*x)/(x-3))*exp(exp((-3*exp(x)+(-3*x+9)*exp(3)+3*x^2-9*x)/(x-3))/x)+x^4-6*x^3+9*x^2)/((3*x^4-18*x^3+27*x^2)*exp(exp((-3*exp(x)+(-3*x+9)*exp(3)+3*x^2-9*x)/(x-3))/x)+x^5-6*x^4+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\frac{x}{3}+{\mathrm e}^{\frac{{\mathrm e}^{-\frac{3 \left(x \,{\mathrm e}^{3}-x^{2}+{\mathrm e}^{x}-3 \,{\mathrm e}^{3}+3 x \right)}{x -3}}}{x}}\right)$&$38$\\ \hline \end{longtable}"," ",0,"ln(1/3*x+exp(exp(-3*(x*exp(3)-x^2+exp(x)-3*exp(3)+3*x)/(x-3))/x))","A"
1931,1,58,20,0.121000," ","int((((-2*x^4+52*x^3)*exp(x)*exp(exp(x))+2*x^2-52*x)*exp(exp(exp(1)))+(-2*x^4+52*x^3)*exp(x)*exp(exp(x))^2+((-2*x^3+52*x^2)*exp(x)+2*x^2-52*x)*exp(exp(x))-x^3+2*x-52)*exp((x^2*exp(exp(exp(1)))^2+(2*exp(exp(x))*x^2+2*x)*exp(exp(exp(1)))+x^2*exp(exp(x))^2+2*x*exp(exp(x))+1)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(26-x \right) {\mathrm e}^{\frac{2 x^{2} {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{{\mathrm e}}}+x^{2} {\mathrm e}^{2 \,{\mathrm e}^{x}}+x^{2} {\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}}}+2 x \,{\mathrm e}^{{\mathrm e}^{x}}+2 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}}} x +1}{x^{2}}}$&$58$\\ \hline \end{longtable}"," ",0,"(26-x)*exp((2*x^2*exp(exp(x)+exp(exp(1)))+x^2*exp(2*exp(x))+x^2*exp(2*exp(exp(1)))+2*x*exp(exp(x))+2*exp(exp(exp(1)))*x+1)/x^2)","B"
1932,1,21,19,0.424000," ","int(((-150*x+225)*exp(2)^2+1125*x^2*exp(2))/(exp(2)^2-30*exp(2)*x+225*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{15 \left(-5 x^{2}+{\mathrm e}^{2}\right) {\mathrm e}^{2}}{{\mathrm e}^{2}-15 x}$&$21$\\ norman&$\frac{-75 x^{2} {\mathrm e}^{2}+15 \,{\mathrm e}^{4}}{{\mathrm e}^{2}-15 x}$&$24$\\ risch&$5 \,{\mathrm e}^{2} x -\frac{{\mathrm e}^{6}}{3 \left({\mathrm e}^{2}-15 x \right)}+\frac{15 \,{\mathrm e}^{4}}{{\mathrm e}^{2}-15 x}$&$31$\\ meijerg&$\frac{225 x}{1-15 x \,{\mathrm e}^{-2}}-\frac{2 \,{\mathrm e}^{4} \left(\frac{15 x \,{\mathrm e}^{-2}}{1-15 x \,{\mathrm e}^{-2}}+\ln \left(1-15 x \,{\mathrm e}^{-2}\right)\right)}{3}-\frac{{\mathrm e}^{4} \left(-\frac{5 x \,{\mathrm e}^{-2} \left(-45 x \,{\mathrm e}^{-2}+6\right)}{1-15 x \,{\mathrm e}^{-2}}-2 \ln \left(1-15 x \,{\mathrm e}^{-2}\right)\right)}{3}$&$77$\\ \hline \end{longtable}"," ",0,"15*(-5*x^2+exp(2))*exp(2)/(exp(2)-15*x)","A"
1933,1,18,14,0.018000," ","int(((-2*x^2+8*x)*ln(x)-x^2+8*x-18)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2} \ln \left(x \right)+8 x \ln \left(x \right)-18 \ln \left(x \right)$&$18$\\ norman&$-x^{2} \ln \left(x \right)+8 x \ln \left(x \right)-18 \ln \left(x \right)$&$18$\\ risch&$\left(-x^{2}+8 x \right) \ln \left(x \right)-18 \ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"-x^2*ln(x)+8*x*ln(x)-18*ln(x)","A"
1934,1,41,24,0.579000," ","int(((-512*ln(5)^3+(-1536*x-6144)*ln(5)^2+(-1536*x^2-12288*x-24576)*ln(5)-512*x^3-6144*x^2-24576*x-32768)*exp(x*ln(2))^2+((320*x*ln(2)+640)*ln(5)^2+((640*x^2+2560*x)*ln(2)+1600*x+5120)*ln(5)+(320*x^3+2560*x^2+5120*x)*ln(2)+960*x^2+6400*x+10240)*exp(x*ln(2))+(-200*x*ln(2)-200)*ln(5)+(-200*x^2-800*x)*ln(2)-400*x-800)/(x^3*ln(5)^3+(3*x^4+12*x^3)*ln(5)^2+(3*x^5+24*x^4+48*x^3)*ln(5)+x^6+12*x^5+48*x^4+64*x^3)/exp(x*ln(2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{256}{x^{2}}-\frac{320 \,2^{-x}}{\left(x +\ln \left(5\right)+4\right) x^{2}}+\frac{100 \,2^{-2 x}}{x^{2} \left(x +\ln \left(5\right)+4\right)^{2}}$&$41$\\ norman&$\frac{\left(100+\left(-320 \ln \left(5\right)-1280\right) {\mathrm e}^{x \ln \left(2\right)}+\left(256 \ln \left(5\right)^{2}+2048 \ln \left(5\right)+4096\right) {\mathrm e}^{2 x \ln \left(2\right)}+\left(512 \ln \left(5\right)+2048\right) x \,{\mathrm e}^{2 x \ln \left(2\right)}+256 \,{\mathrm e}^{2 x \ln \left(2\right)} x^{2}-320 \,{\mathrm e}^{x \ln \left(2\right)} x \right) {\mathrm e}^{-2 x \ln \left(2\right)}}{x^{2} \left(x +\ln \left(5\right)+4\right)^{2}}$&$88$\\ derivativedivides&$\text{Expression too large to display}$&$13774$\\ default&$\text{Expression too large to display}$&$13774$\\ \hline \end{longtable}"," ",0,"256/x^2-320/(x+ln(5)+4)/x^2/(2^x)+100/x^2/(x+ln(5)+4)^2/(2^x)^2","A"
1935,1,12,11,0.017000," ","int(1/48*(16*exp(x)*x^2+48*x^2-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{1}{48 x}+\frac{{\mathrm e}^{x}}{3}+x$&$12$\\ risch&$\frac{1}{48 x}+\frac{{\mathrm e}^{x}}{3}+x$&$12$\\ norman&$\frac{\frac{1}{48}+x^{2}+\frac{{\mathrm e}^{x} x}{3}}{x}$&$15$\\ \hline \end{longtable}"," ",0,"1/48/x+1/3*exp(x)+x","A"
1936,1,23,22,0.039000," ","int((2*x^2*exp(x^2)^2-60*x^3*exp(1)+160*x^2+40)/x^2/exp(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \left(3 x \,{\mathrm e}-8\right) {\mathrm e}^{-2 x^{2}}}{x}+2 x$&$23$\\ default&$2 x -\frac{40 \,{\mathrm e}^{-2 x^{2}}}{x}+15 \,{\mathrm e} \,{\mathrm e}^{-2 x^{2}}$&$26$\\ norman&$\frac{\left(-40+15 x \,{\mathrm e}+2 x^{2} {\mathrm e}^{2 x^{2}}\right) {\mathrm e}^{-2 x^{2}}}{x}$&$29$\\ \hline \end{longtable}"," ",0,"5*(3*x*exp(1)-8)/x*exp(-2*x^2)+2*x","A"
1937,1,11,14,0.334000," ","int((16*x^3+32)/(x^4+8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(x \left(x^{3}+8\right)\right)$&$11$\\ risch&$4 \ln \left(x^{4}+8 x \right)$&$11$\\ meijerg&$4 \ln \left(1+\frac{x^{3}}{8}\right)+4 \ln \left(x \right)-4 \ln \left(2\right)$&$20$\\ norman&$4 \ln \left(x \right)+4 \ln \left(2+x \right)+4 \ln \left(x^{2}-2 x +4\right)$&$23$\\ \hline \end{longtable}"," ",0,"4*ln(x*(x^3+8))","A"
1938,1,22,26,0.123000," ","int(1/11*((33*exp(exp(5))+33*x+165)*exp((exp(exp(5))+5)/x)+2*x^4)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{11}-\frac{3 \,{\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{5}}+5}{x}}}{x}$&$22$\\ norman&$\frac{\frac{x^{4}}{11}-3 \,{\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{5}}+5}{x}} x}{x^{2}}$&$24$\\ derivativedivides&$-\frac{-\frac{625 x^{2}}{\left({\mathrm e}^{{\mathrm e}^{5}}+5\right)^{2}}-\frac{500 \,{\mathrm e}^{{\mathrm e}^{5}} x^{2}}{\left({\mathrm e}^{{\mathrm e}^{5}}+5\right)^{2}}-\frac{150 \,{\mathrm e}^{2 \,{\mathrm e}^{5}} x^{2}}{\left({\mathrm e}^{{\mathrm e}^{5}}+5\right)^{2}}-\frac{20 \,{\mathrm e}^{3 \,{\mathrm e}^{5}} x^{2}}{\left({\mathrm e}^{{\mathrm e}^{5}}+5\right)^{2}}-\frac{{\mathrm e}^{4 \,{\mathrm e}^{5}} x^{2}}{\left({\mathrm e}^{{\mathrm e}^{5}}+5\right)^{2}}+\frac{165 \left({\mathrm e}^{{\mathrm e}^{5}}+5\right) {\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{5}}+5}{x}}}{x}+33 \,{\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{5}}+5}{x}} {\mathrm e}^{{\mathrm e}^{5}}+33 \,{\mathrm e}^{{\mathrm e}^{5}} \left(\frac{\left({\mathrm e}^{{\mathrm e}^{5}}+5\right) {\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{5}}+5}{x}}}{x}-{\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{5}}+5}{x}}\right)}{11 \left({\mathrm e}^{{\mathrm e}^{5}}+5\right)^{2}}$&$161$\\ default&$-\frac{-\frac{625 x^{2}}{\left({\mathrm e}^{{\mathrm e}^{5}}+5\right)^{2}}-\frac{500 \,{\mathrm e}^{{\mathrm e}^{5}} x^{2}}{\left({\mathrm e}^{{\mathrm e}^{5}}+5\right)^{2}}-\frac{150 \,{\mathrm e}^{2 \,{\mathrm e}^{5}} x^{2}}{\left({\mathrm e}^{{\mathrm e}^{5}}+5\right)^{2}}-\frac{20 \,{\mathrm e}^{3 \,{\mathrm e}^{5}} x^{2}}{\left({\mathrm e}^{{\mathrm e}^{5}}+5\right)^{2}}-\frac{{\mathrm e}^{4 \,{\mathrm e}^{5}} x^{2}}{\left({\mathrm e}^{{\mathrm e}^{5}}+5\right)^{2}}+\frac{165 \left({\mathrm e}^{{\mathrm e}^{5}}+5\right) {\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{5}}+5}{x}}}{x}+33 \,{\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{5}}+5}{x}} {\mathrm e}^{{\mathrm e}^{5}}+33 \,{\mathrm e}^{{\mathrm e}^{5}} \left(\frac{\left({\mathrm e}^{{\mathrm e}^{5}}+5\right) {\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{5}}+5}{x}}}{x}-{\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{5}}+5}{x}}\right)}{11 \left({\mathrm e}^{{\mathrm e}^{5}}+5\right)^{2}}$&$161$\\ \hline \end{longtable}"," ",0,"1/11*x^2-3/x*exp((exp(exp(5))+5)/x)","A"
1939,1,11,12,0.019000," ","int(-2*exp(-1/25*exp(4)-x+139/5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 \,{\mathrm e}^{4}}{25}-2 x +\frac{278}{5}}$&$11$\\ gosper&${\mathrm e}^{-\frac{2 \,{\mathrm e}^{4}}{25}-2 x +\frac{278}{5}}$&$13$\\ derivativedivides&${\mathrm e}^{-\frac{2 \,{\mathrm e}^{4}}{25}-2 x +\frac{278}{5}}$&$13$\\ default&${\mathrm e}^{-\frac{2 \,{\mathrm e}^{4}}{25}-2 x +\frac{278}{5}}$&$13$\\ norman&${\mathrm e}^{-\frac{2 \,{\mathrm e}^{4}}{25}-2 x +\frac{278}{5}}$&$13$\\ \hline \end{longtable}"," ",0,"exp(-2/25*exp(4)-2*x+278/5)","A"
1940,1,17,20,0.047000," ","int((2*x*ln(2/exp(3))-6*x)/(ln(2/exp(3))^2+(-2*x^2-6)*ln(2/exp(3))+x^4+6*x^2+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(2\right)-6}{-x^{2}+\ln \left(2\right)-6}$&$17$\\ default&$-\frac{\ln \left(2 \,{\mathrm e}^{-3}\right)-3}{-\ln \left(2 \,{\mathrm e}^{-3}\right)+x^{2}+3}$&$26$\\ risch&$\frac{\ln \left(2\right)}{-x^{2}+\ln \left(2\right)-6}-\frac{6}{-x^{2}+\ln \left(2\right)-6}$&$29$\\ \hline \end{longtable}"," ",0,"(ln(2)-6)/(-x^2+ln(2)-6)","A"
1941,1,549,29,1.390000," ","int(1/2*(((-x^3+2*x^2)*exp(x)^2-2*x^7+2*x^6)*ln(x^2)^3+((-x^2+5*x)*exp(x)*ln(x)-exp(x)*x)*ln(x^2)^2+(3*ln(x)^2+(2*exp(x)*x-1)*ln(x))*ln(x^2)+2*ln(x)^2)/x^6/ln(x^2)^3/exp(1/4*((exp(x)^2*x^2+4*x^7)*ln(x^2)^2+2*x*exp(x)*ln(x)*ln(x^2)+ln(x)^2)/x^6/ln(x^2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-\frac{-4 \mathrm{csgn}\left(i x^{2}\right)^{6} \pi^{2} x^{7}+16 \mathrm{csgn}\left(i x^{2}\right)^{5} \mathrm{csgn}\left(i x \right) \pi^{2} x^{7}-24 \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x \right)^{2} \pi^{2} x^{7}+16 \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)^{3} \pi^{2} x^{7}-4 \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{4} \pi^{2} x^{7}-\mathrm{csgn}\left(i x^{2}\right)^{6} \pi^{2} {\mathrm e}^{2 x} x^{2}+4 \mathrm{csgn}\left(i x^{2}\right)^{5} \mathrm{csgn}\left(i x \right) \pi^{2} {\mathrm e}^{2 x} x^{2}-6 \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x \right)^{2} \pi^{2} {\mathrm e}^{2 x} x^{2}+4 \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)^{3} \pi^{2} {\mathrm e}^{2 x} x^{2}-\mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{4} \pi^{2} {\mathrm e}^{2 x} x^{2}-32 i \mathrm{csgn}\left(i x^{2}\right)^{3} \pi  \ln \left(x \right) x^{7}+16 i \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right) \pi  \ln \left(x \right) {\mathrm e}^{2 x} x^{2}-8 i \mathrm{csgn}\left(i x^{2}\right)^{3} \pi  \ln \left(x \right) {\mathrm e}^{2 x} x^{2}+64 i \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right) \pi  \ln \left(x \right) x^{7}+8 i \ln \left(x \right) {\mathrm e}^{x} x \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right) \pi -4 i \ln \left(x \right) {\mathrm e}^{x} x \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2} \pi +64 x^{7} \ln \left(x \right)^{2}-4 i \ln \left(x \right) {\mathrm e}^{x} x \mathrm{csgn}\left(i x^{2}\right)^{3} \pi -8 i \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2} \pi  \ln \left(x \right) {\mathrm e}^{2 x} x^{2}-32 i \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2} \pi  \ln \left(x \right) x^{7}+16 \ln \left(x \right)^{2} {\mathrm e}^{2 x} x^{2}+16 x \,{\mathrm e}^{x} \ln \left(x \right)^{2}+4 \ln \left(x \right)^{2}}{4 x^{6} \left(4 \ln \left(x \right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)^{2}}}$&$549$\\ \hline \end{longtable}"," ",0,"x*exp(-1/4*(-4*csgn(I*x^2)^6*Pi^2*x^7+16*csgn(I*x^2)^5*csgn(I*x)*Pi^2*x^7-24*csgn(I*x^2)^4*csgn(I*x)^2*Pi^2*x^7+16*csgn(I*x^2)^3*csgn(I*x)^3*Pi^2*x^7-4*csgn(I*x^2)^2*csgn(I*x)^4*Pi^2*x^7-csgn(I*x^2)^6*Pi^2*exp(2*x)*x^2+4*csgn(I*x^2)^5*csgn(I*x)*Pi^2*exp(2*x)*x^2-6*csgn(I*x^2)^4*csgn(I*x)^2*Pi^2*exp(2*x)*x^2+4*csgn(I*x^2)^3*csgn(I*x)^3*Pi^2*exp(2*x)*x^2-csgn(I*x^2)^2*csgn(I*x)^4*Pi^2*exp(2*x)*x^2-32*I*csgn(I*x^2)^3*Pi*ln(x)*x^7+16*I*csgn(I*x^2)^2*csgn(I*x)*Pi*ln(x)*exp(2*x)*x^2-8*I*csgn(I*x^2)^3*Pi*ln(x)*exp(2*x)*x^2+64*I*csgn(I*x^2)^2*csgn(I*x)*Pi*ln(x)*x^7+8*I*ln(x)*exp(x)*x*csgn(I*x^2)^2*csgn(I*x)*Pi-4*I*ln(x)*exp(x)*x*csgn(I*x^2)*csgn(I*x)^2*Pi+64*x^7*ln(x)^2-4*I*ln(x)*exp(x)*x*csgn(I*x^2)^3*Pi-8*I*csgn(I*x^2)*csgn(I*x)^2*Pi*ln(x)*exp(2*x)*x^2-32*I*csgn(I*x^2)*csgn(I*x)^2*Pi*ln(x)*x^7+16*ln(x)^2*exp(2*x)*x^2+16*x*exp(x)*ln(x)^2+4*ln(x)^2)/x^6/(4*ln(x)-I*Pi*csgn(I*x^2)*csgn(I*x)^2+2*I*Pi*csgn(I*x^2)^2*csgn(I*x)-I*Pi*csgn(I*x^2)^3)^2)","C"
1942,1,21,23,0.066000," ","int(((-3*x-4)*ln(4+3*x)^2+(6*x^2-145*x-204)*ln(4+3*x)-3*x^3+146*x^2-1747*x-2600)/((9*x+12)*ln(4+3*x)^2+(-18*x^2+426*x+600)*ln(4+3*x)+9*x^3-438*x^2+5025*x+7500),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{3}+\frac{x}{3 x -3 \ln \left(4+3 x \right)-75}$&$21$\\ norman&$\frac{\frac{\ln \left(4+3 x \right)^{2}}{3}+17 x -\frac{x^{2}}{3}-\frac{625}{3}}{x -\ln \left(4+3 x \right)-25}+\frac{\ln \left(4+3 x \right)}{3}$&$44$\\ \hline \end{longtable}"," ",0,"-1/3*x+1/3*x/(x-ln(4+3*x)-25)","A"
1943,1,19,18,0.075000," ","int((-2*ln(3/2/x)+2)*ln(x)-2*ln(3/2/x)+8*exp(8*x+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{8 x +5}-2 x \ln \left(\frac{3}{2 x}\right) \ln \left(x \right)$&$19$\\ risch&$2 x \ln \left(x \right)^{2}-\left(2+2 \ln \left(3\right)-2 \ln \left(2\right)\right) x \ln \left(x \right)+2 x \ln \left(3\right)-2 x \ln \left(2\right)-2 x \ln \left(\frac{3}{2 x}\right)+{\mathrm e}^{8 x +5}$&$49$\\ default&$2 x \ln \left(2\right) \ln \left(x \right)-2 x \ln \left(2\right)-2 x \ln \left(3\right) \ln \left(x \right)+2 x \ln \left(3\right)+2 x \ln \left(\frac{1}{x}\right)-2 \ln \left(x \right) \ln \left(\frac{1}{x}\right) x +{\mathrm e}^{8 x +5}-2 x \ln \left(\frac{3}{2 x}\right)$&$57$\\ \hline \end{longtable}"," ",0,"exp(8*x+5)-2*x*ln(3/2/x)*ln(x)","A"
1944,1,67,28,0.322000," ","int(((16*x^3+24*x^2+12*x+2)*exp(2)*exp(x)^2+128*x^5+64*x^4-736*x^3-720*x^2+784*x+1280)*exp(((4*x^3+4*x^2+x)*exp(2)*exp(x)^2-16*x^4-16*x^3+76*x^2+40*x-100)/(4*x^2+4*x+1)/exp(x)^2)^2*exp(exp(((4*x^3+4*x^2+x)*exp(2)*exp(x)^2-16*x^4-16*x^3+76*x^2+40*x-100)/(4*x^2+4*x+1)/exp(x)^2)^2)/(8*x^3+12*x^2+6*x+1)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{-\frac{2 \left(-4 x^{3} {\mathrm e}^{2 x +2}+16 x^{4}-4 x^{2} {\mathrm e}^{2 x +2}+16 x^{3}-x \,{\mathrm e}^{2 x +2}-76 x^{2}-40 x +100\right) {\mathrm e}^{-2 x}}{\left(2 x +1\right)^{2}}}}$&$67$\\ \hline \end{longtable}"," ",0,"exp(exp(-2*(-4*x^3*exp(2*x+2)+16*x^4-4*x^2*exp(2*x+2)+16*x^3-x*exp(2*x+2)-76*x^2-40*x+100)*exp(-2*x)/(2*x+1)^2))","B"
1945,1,1769,17,8.054000," ","int(((x+1)*ln(3/x^2)*ln(ln(3/x^2)^2)^2+4)/((x*ln(3/x^2)*ln(x)+(x^2-x)*ln(3/x^2))*ln(ln(3/x^2)^2)^2+x*ln(3/x^2)*ln(ln(3/x^2)^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-1+\ln \left(x \right)+x \right)+\ln \left(\ln \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)-\frac{i \left(\pi  \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)\right)^{2} \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)^{2}+2 \pi -2 \pi  x +2 i-4 i x \ln \left(2\right)+4 i \ln \left(2\right)+\pi  x \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)\right)^{2} \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)-2 \pi  x \,\mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)^{2}+\ln \left(x \right) \pi  \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)\right)^{2} \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)-2 \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)^{2}-4 i \ln \left(x \right) \ln \left(2\right)-2 \ln \left(x \right) \pi -\pi  x \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)^{3}-2 \pi  \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)^{2}-\ln \left(x \right) \pi  \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)^{3}+2 \ln \left(x \right) \pi  \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)^{2}+2 \pi  x \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)^{2}\right)}{4 \left(-1+\ln \left(x \right)+x \right)}\right)-\ln \left(\ln \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)-\frac{i \left(2 \pi  \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)\right)^{2} \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(x \right)\right)^{2}\right)^{3}-4 i \ln \left(2\right)-2 \pi \right)}{4}\right)$&$1769$\\ \hline \end{longtable}"," ",0,"ln(-1+ln(x)+x)+ln(ln(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))-1/4*I*(Pi*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)^3-Pi*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x)))^2*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)+2*Pi*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x)))*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)^2+2*Pi-2*Pi*x+2*I-4*I*x*ln(2)+4*I*ln(2)+Pi*x*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x)))^2*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)-2*Pi*x*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x)))*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)^2+ln(x)*Pi*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x)))^2*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)-2*ln(x)*Pi*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x)))*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)^2-4*I*ln(x)*ln(2)-2*ln(x)*Pi-Pi*x*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)^3-2*Pi*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)^2-ln(x)*Pi*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)^3+2*ln(x)*Pi*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)^2+2*Pi*x*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)^2)/(-1+ln(x)+x))-ln(ln(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))-1/4*I*(2*Pi*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)^2+Pi*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x)))^2*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)-2*Pi*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x)))*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)^2-Pi*csgn(I*(-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+2*I*ln(3)-4*I*ln(x))^2)^3-4*I*ln(2)-2*Pi))","C"
1946,1,60,24,0.485000," ","int(((4*x^4-10*x^2+2)*exp(x^2)^2+(20*x^7-70*x^5+16*x^4+60*x^3-64*x^2-10*x+16)*exp(x^2)+3*x^9-9*x^7-111*x^5+157*x^3-96*x^2-40*x+32)/(x^9-3*x^7+3*x^5-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16+{\mathrm e}^{2 x^{2}}-40 x +43 x^{3}-6 x^{5}+3 x^{7}+10 x^{3} {\mathrm e}^{x^{2}}-10 \,{\mathrm e}^{x^{2}} x +8 \,{\mathrm e}^{x^{2}}}{x^{2} \left(x^{2}-1\right)^{2}}$&$60$\\ risch&$3 x +\frac{40 x^{3}-40 x +16}{x^{2} \left(x^{4}-2 x^{2}+1\right)}+\frac{{\mathrm e}^{2 x^{2}}}{x^{2} \left(x^{2}-1\right)^{2}}+\frac{2 \left(5 x^{3}-5 x +4\right) {\mathrm e}^{x^{2}}}{x^{2} \left(x^{2}-1\right)^{2}}$&$74$\\ \hline \end{longtable}"," ",0,"(16+exp(x^2)^2-40*x+43*x^3-6*x^5+3*x^7+10*x^3*exp(x^2)-10*exp(x^2)*x+8*exp(x^2))/x^2/(x^2-1)^2","B"
1947,1,11,12,0.144000," ","int(1/3*((3*x+2)*ln(x)+3)*exp(-1/3*ln(x)+x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{\frac{2}{3}} {\mathrm e}^{x +1} \ln \left(x \right)$&$11$\\ risch&$x^{\frac{2}{3}} {\mathrm e}^{x +1} \ln \left(x \right)$&$11$\\ norman&$x \,{\mathrm e}^{-\frac{\ln \left(x \right)}{3}+x +1} \ln \left(x \right)$&$13$\\ \hline \end{longtable}"," ",0,"x^(2/3)*exp(x+1)*ln(x)","A"
1948,1,23,28,0.102000," ","int((-x^2*exp(ln(2)+x)+x^2*exp(5)-x^2-2*x-2)/x^2/exp(ln(2)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{\left(x \,{\mathrm e}^{5}-x -2\right) {\mathrm e}^{-x}}{2 x}$&$23$\\ norman&$\frac{\left(2+\left(1-{\mathrm e}^{5}\right) x -x^{2} {\mathrm e}^{\ln \left(2\right)+x}\right) {\mathrm e}^{-x}}{2 x}$&$32$\\ derivativedivides&$-{\mathrm e}^{5} {\mathrm e}^{-x -\ln \left(2\right)}-\ln \left(2\right)-x +\frac{2 \,{\mathrm e}^{-x -\ln \left(2\right)}}{x}+{\mathrm e}^{-x -\ln \left(2\right)}$&$45$\\ default&$-{\mathrm e}^{5} {\mathrm e}^{-x -\ln \left(2\right)}-\ln \left(2\right)-x +\frac{2 \,{\mathrm e}^{-x -\ln \left(2\right)}}{x}+{\mathrm e}^{-x -\ln \left(2\right)}$&$45$\\ \hline \end{longtable}"," ",0,"-x-1/2*(x*exp(5)-x-2)/x*exp(-x)","A"
1949,1,17,16,0.118000," ","int(((5*ln(x)+5)*ln(ln(x)+1)^2+((10*exp(2)+1)*ln(x)+10*exp(2)+1)*ln(ln(x)+1)+(5*exp(2)^2+exp(2))*ln(x)+5*exp(2)^2+exp(2)-1)/((ln(x)+1)*ln(ln(x)+1)^2+(2*exp(2)*ln(x)+2*exp(2))*ln(ln(x)+1)+exp(2)^2*ln(x)+exp(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{{\mathrm e}^{2}+\ln \left(\ln \left(x \right)+1\right)}+5 x$&$17$\\ norman&$\frac{\left(5 \,{\mathrm e}^{2}+1\right) x +5 x \ln \left(\ln \left(x \right)+1\right)}{{\mathrm e}^{2}+\ln \left(\ln \left(x \right)+1\right)}$&$29$\\ \hline \end{longtable}"," ",0,"x/(exp(2)+ln(ln(x)+1))+5*x","A"
1950,1,26,28,0.330000," ","int(((-4*x^2+25)*ln(x/(5+2*x))^2+(4*x^2+10*x)*ln(x/(5+2*x))-5*x)/(5+2*x)/ln(x/(5+2*x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+5 x +\frac{x^{2}}{\ln \left(\frac{x}{5+2 x}\right)}$&$26$\\ norman&$\frac{x^{2}+5 \ln \left(\frac{x}{5+2 x}\right) x -\ln \left(\frac{x}{5+2 x}\right) x^{2}}{\ln \left(\frac{x}{5+2 x}\right)}$&$46$\\ \hline \end{longtable}"," ",0,"-x^2+5*x+x^2/ln(x/(5+2*x))","A"
1951,1,56,27,0.071000," ","int(((x^2+9*x-10)*ln(x^2-x)^3+(6*x^3+6*x^2-12*x)*ln(x^2-x)^2+(x^5+3*x^4-4*x^3-12*x^2+6*x)*ln(x^2-x)-4*x^4+2*x^3)/((x^2+8*x-9)*ln(x^2-x)^3+(6*x^3-6*x^2)*ln(x^2-x)^2+(x^5-x^4)*ln(x^2-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -2 \ln \left(\ln \left(x^{2}-x \right)\right)+\ln \left(x^{4}+\ln \left(x^{2}-x \right)^{2} x +6 x^{2} \ln \left(x^{2}-x \right)+9 \ln \left(x^{2}-x \right)^{2}\right)$&$56$\\ risch&$x +\ln \left(x +9\right)-2 \ln \left(\ln \left(x^{2}-x \right)\right)+\ln \left(\ln \left(x^{2}-x \right)^{2}+\frac{6 x^{2} \ln \left(x^{2}-x \right)}{x +9}+\frac{x^{4}}{x +9}\right)$&$57$\\ \hline \end{longtable}"," ",0,"x-2*ln(ln(x^2-x))+ln(x^4+ln(x^2-x)^2*x+6*x^2*ln(x^2-x)+9*ln(x^2-x)^2)","B"
1952,1,24,22,0.105000," ","int((2*x*exp(3)^2+16*x*exp(3)+32*x)/(exp(5/4)^4+(2*x^2-2)*exp(5/4)^2+x^4-2*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{{\mathrm e}^{6}+8 \,{\mathrm e}^{3}+16}{{\mathrm e}^{\frac{5}{2}}+x^{2}-1}$&$24$\\ norman&$\frac{-{\mathrm e}^{6}-8 \,{\mathrm e}^{3}-16}{{\mathrm e}^{\frac{5}{2}}+x^{2}-1}$&$25$\\ risch&$-\frac{{\mathrm e}^{6}}{{\mathrm e}^{\frac{5}{2}}+x^{2}-1}-\frac{8 \,{\mathrm e}^{3}}{{\mathrm e}^{\frac{5}{2}}+x^{2}-1}-\frac{16}{{\mathrm e}^{\frac{5}{2}}+x^{2}-1}$&$39$\\ \hline \end{longtable}"," ",0,"-(exp(3)^2+8*exp(3)+16)/(exp(5/4)^2+x^2-1)","A"
1953,1,27,24,0.030000," ","int(((48*x^3-36*x^2+12*x+4)*exp(6)+48*x^3)/exp(6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$12 x^{4}-12 x^{3}+12 \,{\mathrm e}^{-6} x^{4}+6 x^{2}+4 x$&$27$\\ norman&$4 x +6 x^{2}-12 x^{3}+12 \left(1+{\mathrm e}^{6}\right) {\mathrm e}^{-6} x^{4}$&$28$\\ default&${\mathrm e}^{-6} \left({\mathrm e}^{6} \left(12 x^{4}-12 x^{3}+6 x^{2}+4 x \right)+12 x^{4}\right)$&$34$\\ gosper&$2 x \left(6 x^{3} {\mathrm e}^{6}-6 x^{2} {\mathrm e}^{6}+6 x^{3}+3 x \,{\mathrm e}^{6}+2 \,{\mathrm e}^{6}\right) {\mathrm e}^{-6}$&$37$\\ \hline \end{longtable}"," ",0,"12*x^4-12*x^3+12*exp(-6)*x^4+6*x^2+4*x","A"
1954,1,19,24,0.362000," ","int((-x^2*exp(ln(x-9)+1)+(-x^3+9*x^2)*exp(x)-2*x^3+18*x^2-5*x+45)/(x^3-9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}-2 x +\frac{5}{x}-{\mathrm e}^{x}$&$19$\\ norman&$\frac{5+\left(-{\mathrm e}-2\right) x^{2}-{\mathrm e}^{x} x}{x}$&$22$\\ default&$-{\mathrm e}^{\ln \left(x -9\right)+1}-2 x +\frac{5}{x}-{\mathrm e}^{x}$&$23$\\ \hline \end{longtable}"," ",0,"-x*exp(1)-2*x+5/x-exp(x)","A"
1955,1,28,21,0.033000," ","int((2*((2*x-1)*exp(1)-2)*ln(2)+8*x-4)/(2*exp(1)*ln(2)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}-\frac{\left({\mathrm e} \ln \left(2\right)+2 \ln \left(2\right)+2\right) x}{{\mathrm e} \ln \left(2\right)+2}$&$28$\\ gosper&$\frac{x \left(x \,{\mathrm e} \ln \left(2\right)-{\mathrm e} \ln \left(2\right)-2 \ln \left(2\right)+2 x -2\right)}{{\mathrm e} \ln \left(2\right)+2}$&$33$\\ default&$\frac{2 \ln \left(2\right) \left({\mathrm e} \left(x^{2}-x \right)-2 x \right)+4 x^{2}-4 x}{2 \,{\mathrm e} \ln \left(2\right)+4}$&$39$\\ risch&$\frac{2 \ln \left(2\right) {\mathrm e} x^{2}}{2 \,{\mathrm e} \ln \left(2\right)+4}-\frac{2 x \,{\mathrm e} \ln \left(2\right)}{2 \,{\mathrm e} \ln \left(2\right)+4}-\frac{4 x \ln \left(2\right)}{2 \,{\mathrm e} \ln \left(2\right)+4}+\frac{4 x^{2}}{2 \,{\mathrm e} \ln \left(2\right)+4}-\frac{4 x}{2 \,{\mathrm e} \ln \left(2\right)+4}$&$81$\\ \hline \end{longtable}"," ",0,"x^2-1/(exp(1)*ln(2)+2)*(exp(1)*ln(2)+2*ln(2)+2)*x","A"
1956,1,34,24,0.050000," ","int(((2*(-288*x^2-288*x)*ln(2)-72*x^2-72*x)*exp(x)^2+(2*(288*x^3+864*x^2)*ln(2)+72*x^3+216*x^2)*exp(x)-1152*x^3*ln(2)-144*x^3+4)/(8*ln(2)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-36 x^{4}+\frac{4 x}{8 \ln \left(2\right)+1}+72 \,{\mathrm e}^{x} x^{3}-36 \,{\mathrm e}^{2 x} x^{2}$&$34$\\ risch&$-\frac{288 x^{4} \ln \left(2\right)}{8 \ln \left(2\right)+1}-\frac{36 x^{4}}{8 \ln \left(2\right)+1}+\frac{4 x}{8 \ln \left(2\right)+1}-36 \,{\mathrm e}^{2 x} x^{2}+72 \,{\mathrm e}^{x} x^{3}$&$57$\\ default&$\frac{4 x -36 \,{\mathrm e}^{2 x} x^{2}-288 x^{2} \ln \left(2\right) {\mathrm e}^{2 x}+72 \,{\mathrm e}^{x} x^{3}+576 x^{3} \ln \left(2\right) {\mathrm e}^{x}-36 x^{4}-288 x^{4} \ln \left(2\right)}{8 \ln \left(2\right)+1}$&$62$\\ \hline \end{longtable}"," ",0,"-36*x^4+4/(8*ln(2)+1)*x+72*exp(x)*x^3-36*exp(x)^2*x^2","A"
1957,1,26,30,0.035000," ","int((exp(x)*x^2-exp(5/ln(3))-2*x^3+x^2+5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+x +\frac{{\mathrm e}^{\frac{5}{\ln \left(3\right)}}}{x}-\frac{5}{x}+{\mathrm e}^{x}$&$26$\\ norman&$\frac{x^{2}+{\mathrm e}^{x} x -x^{3}+{\mathrm e}^{\frac{5}{\ln \left(3\right)}}-5}{x}$&$26$\\ risch&$-x^{2}+x +\frac{{\mathrm e}^{\frac{5}{\ln \left(3\right)}}}{x}-\frac{5}{x}+{\mathrm e}^{x}$&$26$\\ \hline \end{longtable}"," ",0,"-x^2+x-5/x+exp(1/ln(3))^5/x+exp(x)","A"
1958,1,21,25,0.056000," ","int(1/2*(4*exp(5)*exp(2/ln(x))+(36*x^2-x)*ln(x)^2)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$9 x^{2}-\frac{x}{2}-{\mathrm e}^{5} {\mathrm e}^{\frac{2}{\ln \left(x \right)}}$&$21$\\ risch&$9 x^{2}-\frac{x}{2}-{\mathrm e}^{\frac{5 \ln \left(x \right)+2}{\ln \left(x \right)}}$&$24$\\ norman&$\frac{-\frac{x \ln \left(x \right)}{2}+9 x^{2} \ln \left(x \right)-{\mathrm e}^{5} \ln \left(x \right) {\mathrm e}^{\frac{2}{\ln \left(x \right)}}}{\ln \left(x \right)}$&$32$\\ \hline \end{longtable}"," ",0,"9*x^2-1/2*x-exp(5)*exp(2/ln(x))","A"
1959,1,20,23,0.172000," ","int((-165888*x^2*ln(3)+165888*x^2-414720*x-179159040)/((x^5-1296*x^4+559872*x^3-80621568*x^2)*ln(3)^2+(-2*x^5+2602*x^4-1132704*x^3+166841856*x^2-806215680*x)*ln(3)+x^5-1306*x^4+572857*x^3-86252688*x^2+820212480*x-2015539200),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{82944 x}{\left(x -432\right)^{2} \left(5+x \ln \left(3\right)-x \right)}$&$20$\\ gosper&$\frac{82944 x}{x^{3} \ln \left(3\right)-864 x^{2} \ln \left(3\right)-x^{3}+186624 x \ln \left(3\right)+869 x^{2}-190944 x +933120}$&$39$\\ risch&$\frac{82944 x}{x^{3} \ln \left(3\right)-864 x^{2} \ln \left(3\right)-x^{3}+186624 x \ln \left(3\right)+869 x^{2}-190944 x +933120}$&$39$\\ default&$\frac{414720}{\left(-427+432 \ln \left(3\right)\right)^{2} \left(x -432\right)}+\frac{35831808}{\left(-427+432 \ln \left(3\right)\right) \left(x -432\right)^{2}}-\frac{414720 \left(\ln \left(3\right)-1\right)}{\left(-427+432 \ln \left(3\right)\right)^{2} \left(5+x \ln \left(3\right)-x \right)}$&$57$\\ \hline \end{longtable}"," ",0,"82944*x/(x-432)^2/(5+x*ln(3)-x)","A"
1960,1,10,9,0.022000," ","int(4*ln(-3*x^2)*exp(ln(-3*x^2)^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{\ln \left(-3 x^{2}\right)^{2}}$&$10$\\ default&${\mathrm e}^{\ln \left(-3 x^{2}\right)^{2}}$&$10$\\ norman&${\mathrm e}^{\ln \left(-3 x^{2}\right)^{2}}$&$10$\\ risch&${\mathrm e}^{\ln \left(-3 x^{2}\right)^{2}}$&$10$\\ \hline \end{longtable}"," ",0,"exp(ln(-3*x^2)^2)","A"
1961,1,13,18,0.368000," ","int(((x^2-4*x+4)*exp(exp(4))-2)/(2*x^2-8*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x \,{\mathrm e}^{{\mathrm e}^{4}}}{2}+\frac{1}{x -2}$&$13$\\ risch&$\frac{x \,{\mathrm e}^{{\mathrm e}^{4}}}{2}+\frac{1}{x -2}$&$13$\\ gosper&$\frac{x^{2} {\mathrm e}^{{\mathrm e}^{4}}+2-4 \,{\mathrm e}^{{\mathrm e}^{4}}}{2 x -4}$&$22$\\ norman&$\frac{\frac{x^{2} {\mathrm e}^{{\mathrm e}^{4}}}{2}+1-2 \,{\mathrm e}^{{\mathrm e}^{4}}}{x -2}$&$22$\\ meijerg&$-\frac{x}{4 \left(1-\frac{x}{2}\right)}-{\mathrm e}^{{\mathrm e}^{4}} \left(-\frac{x \left(-\frac{3 x}{2}+6\right)}{6 \left(1-\frac{x}{2}\right)}-2 \ln \left(1-\frac{x}{2}\right)\right)-2 \,{\mathrm e}^{{\mathrm e}^{4}} \left(\frac{x}{2-x}+\ln \left(1-\frac{x}{2}\right)\right)+\frac{x \,{\mathrm e}^{{\mathrm e}^{4}}}{2-x}$&$76$\\ \hline \end{longtable}"," ",0,"1/2*x*exp(exp(4))+1/(x-2)","A"
1962,1,4,3,0.013000," ","int(exp(x)*exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{{\mathrm e}^{x}}$&$4$\\ default&${\mathrm e}^{{\mathrm e}^{x}}$&$4$\\ norman&${\mathrm e}^{{\mathrm e}^{x}}$&$4$\\ risch&${\mathrm e}^{{\mathrm e}^{x}}$&$4$\\ \hline \end{longtable}"," ",0,"exp(exp(x))","A"
1963,1,18,20,0.029000," ","int(((-12*x-6)*exp(x)^2+6*x^2)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{-1} x^{3}-6 x \,{\mathrm e}^{2 x -1}$&$18$\\ default&${\mathrm e}^{-1} \left(-6 x \,{\mathrm e}^{2 x}+2 x^{3}\right)$&$19$\\ norman&$2 \,{\mathrm e}^{-1} x^{3}-6 x \,{\mathrm e}^{-1} {\mathrm e}^{2 x}$&$22$\\ \hline \end{longtable}"," ",0,"2*exp(-1)*x^3-6*x*exp(2*x-1)","A"
1964,1,76,23,0.327000," ","int(((16*x^4-316*x^3)*ln(-4*x+79)^4+(80*x^5-1564*x^4)*ln(-4*x+79)^3+(144*x^6-2796*x^5+80*x^2-1580*x)*ln(-4*x+79)^2+(112*x^7-2164*x^6+240*x^3-4660*x^2)*ln(-4*x+79)+32*x^8-616*x^7+160*x^4-3080*x^3-4*x+79)/(4*x-79),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-4 x +79\right)^{4} x^{4}+4 \ln \left(-4 x +79\right)^{3} x^{5}+\left(6 x^{6}+10 x^{2}\right) \ln \left(-4 x +79\right)^{2}+\left(4 x^{7}+20 x^{3}\right) \ln \left(-4 x +79\right)+x^{8}+10 x^{4}-x$&$76$\\ derivativedivides&$\frac{19204540074031 x}{2048}+\frac{19204540076079 \ln \left(-4 x +79\right)}{4096}-\frac{7395585 \ln \left(-4 x +79\right)^{2} \left(-4 x +79\right)^{3}}{512}+\frac{17256365 \ln \left(-4 x +79\right) \left(-4 x +79\right)^{4}}{4096}-\frac{194750405 \ln \left(-4 x +79\right)^{3} \left(-4 x +79\right)}{256}+\frac{1752754925 \ln \left(-4 x +79\right)^{2} \left(-4 x +79\right)^{2}}{2048}-\frac{1363254115 \ln \left(-4 x +79\right) \left(-4 x +79\right)^{3}}{4096}-\frac{27693608711 \ln \left(-4 x +79\right)^{2} \left(-4 x +79\right)}{1024}+\frac{64618487739 \ln \left(-4 x +79\right) \left(-4 x +79\right)^{2}}{4096}-\frac{1701636154087 \ln \left(-4 x +79\right) \left(-4 x +79\right)}{4096}+\frac{\ln \left(-4 x +79\right)^{4} \left(-4 x +79\right)^{4}}{256}-\frac{\ln \left(-4 x +79\right)^{3} \left(-4 x +79\right)^{5}}{256}+\frac{3 \ln \left(-4 x +79\right)^{2} \left(-4 x +79\right)^{6}}{2048}-\frac{\ln \left(-4 x +79\right) \left(-4 x +79\right)^{7}}{4096}-\frac{79 \ln \left(-4 x +79\right)^{4} \left(-4 x +79\right)^{3}}{64}+\frac{395 \ln \left(-4 x +79\right)^{3} \left(-4 x +79\right)^{4}}{256}-\frac{711 \ln \left(-4 x +79\right)^{2} \left(-4 x +79\right)^{5}}{1024}+\frac{553 \ln \left(-4 x +79\right) \left(-4 x +79\right)^{6}}{4096}+\frac{18723 \ln \left(-4 x +79\right)^{4} \left(-4 x +79\right)^{2}}{128}-\frac{31205 \ln \left(-4 x +79\right)^{3} \left(-4 x +79\right)^{3}}{128}+\frac{280845 \ln \left(-4 x +79\right)^{2} \left(-4 x +79\right)^{4}}{2048}-\frac{131061 \ln \left(-4 x +79\right) \left(-4 x +79\right)^{5}}{4096}-\frac{493039 \ln \left(-4 x +79\right)^{4} \left(-4 x +79\right)}{64}+\frac{2465195 \ln \left(-4 x +79\right)^{3} \left(-4 x +79\right)^{2}}{128}+\frac{38950081 \ln \left(-4 x +79\right)^{4}}{256}+\frac{3077056399 \ln \left(-4 x +79\right)^{3}}{256}+\frac{729270355043 \ln \left(-4 x +79\right)^{2}}{2048}+\frac{1701636154087 \left(-4 x +79\right)^{2}}{16384}+\frac{43687 \left(-4 x +79\right)^{6}}{16384}-\frac{79 \left(-4 x +79\right)^{7}}{8192}+\frac{\left(-4 x +79\right)^{8}}{65536}-\frac{21539495913 \left(-4 x +79\right)^{3}}{8192}+\frac{1363254115 \left(-4 x +79\right)^{4}}{32768}-\frac{3451273 \left(-4 x +79\right)^{5}}{8192}-\frac{1517158665848449}{8192}$&$459$\\ default&$\frac{19204540074031 x}{2048}+\frac{19204540076079 \ln \left(-4 x +79\right)}{4096}-\frac{7395585 \ln \left(-4 x +79\right)^{2} \left(-4 x +79\right)^{3}}{512}+\frac{17256365 \ln \left(-4 x +79\right) \left(-4 x +79\right)^{4}}{4096}-\frac{194750405 \ln \left(-4 x +79\right)^{3} \left(-4 x +79\right)}{256}+\frac{1752754925 \ln \left(-4 x +79\right)^{2} \left(-4 x +79\right)^{2}}{2048}-\frac{1363254115 \ln \left(-4 x +79\right) \left(-4 x +79\right)^{3}}{4096}-\frac{27693608711 \ln \left(-4 x +79\right)^{2} \left(-4 x +79\right)}{1024}+\frac{64618487739 \ln \left(-4 x +79\right) \left(-4 x +79\right)^{2}}{4096}-\frac{1701636154087 \ln \left(-4 x +79\right) \left(-4 x +79\right)}{4096}+\frac{\ln \left(-4 x +79\right)^{4} \left(-4 x +79\right)^{4}}{256}-\frac{\ln \left(-4 x +79\right)^{3} \left(-4 x +79\right)^{5}}{256}+\frac{3 \ln \left(-4 x +79\right)^{2} \left(-4 x +79\right)^{6}}{2048}-\frac{\ln \left(-4 x +79\right) \left(-4 x +79\right)^{7}}{4096}-\frac{79 \ln \left(-4 x +79\right)^{4} \left(-4 x +79\right)^{3}}{64}+\frac{395 \ln \left(-4 x +79\right)^{3} \left(-4 x +79\right)^{4}}{256}-\frac{711 \ln \left(-4 x +79\right)^{2} \left(-4 x +79\right)^{5}}{1024}+\frac{553 \ln \left(-4 x +79\right) \left(-4 x +79\right)^{6}}{4096}+\frac{18723 \ln \left(-4 x +79\right)^{4} \left(-4 x +79\right)^{2}}{128}-\frac{31205 \ln \left(-4 x +79\right)^{3} \left(-4 x +79\right)^{3}}{128}+\frac{280845 \ln \left(-4 x +79\right)^{2} \left(-4 x +79\right)^{4}}{2048}-\frac{131061 \ln \left(-4 x +79\right) \left(-4 x +79\right)^{5}}{4096}-\frac{493039 \ln \left(-4 x +79\right)^{4} \left(-4 x +79\right)}{64}+\frac{2465195 \ln \left(-4 x +79\right)^{3} \left(-4 x +79\right)^{2}}{128}+\frac{38950081 \ln \left(-4 x +79\right)^{4}}{256}+\frac{3077056399 \ln \left(-4 x +79\right)^{3}}{256}+\frac{729270355043 \ln \left(-4 x +79\right)^{2}}{2048}+\frac{1701636154087 \left(-4 x +79\right)^{2}}{16384}+\frac{43687 \left(-4 x +79\right)^{6}}{16384}-\frac{79 \left(-4 x +79\right)^{7}}{8192}+\frac{\left(-4 x +79\right)^{8}}{65536}-\frac{21539495913 \left(-4 x +79\right)^{3}}{8192}+\frac{1363254115 \left(-4 x +79\right)^{4}}{32768}-\frac{3451273 \left(-4 x +79\right)^{5}}{8192}-\frac{1517158665848449}{8192}$&$459$\\ \hline \end{longtable}"," ",0,"ln(-4*x+79)^4*x^4+4*ln(-4*x+79)^3*x^5+(6*x^6+10*x^2)*ln(-4*x+79)^2+(4*x^7+20*x^3)*ln(-4*x+79)+x^8+10*x^4-x","B"
1965,1,39,30,0.083000," ","int((-exp(exp(3))+exp(x)-3-exp(1))*exp(((-x-1)*exp(exp(3))+exp(x)+(-x-1)*exp(1)-3*x-3)/(exp(exp(3))+3+exp(1)))*exp(exp(((-x-1)*exp(exp(3))+exp(x)+(-x-1)*exp(1)-3*x-3)/(exp(exp(3))+3+exp(1)))+4)/(exp(exp(3))+3+exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{{\mathrm e}^{\frac{\left(-x -1\right) {\mathrm e}^{{\mathrm e}^{3}}+{\mathrm e}^{x}+\left(-x -1\right) {\mathrm e}-3 x -3}{{\mathrm e}^{{\mathrm e}^{3}}+3+{\mathrm e}}}+4}$&$39$\\ default&${\mathrm e}^{{\mathrm e}^{\frac{\left(-x -1\right) {\mathrm e}^{{\mathrm e}^{3}}+{\mathrm e}^{x}+\left(-x -1\right) {\mathrm e}-3 x -3}{{\mathrm e}^{{\mathrm e}^{3}}+3+{\mathrm e}}}+4}$&$39$\\ norman&${\mathrm e}^{{\mathrm e}^{\frac{\left(-x -1\right) {\mathrm e}^{{\mathrm e}^{3}}+{\mathrm e}^{x}+\left(-x -1\right) {\mathrm e}-3 x -3}{{\mathrm e}^{{\mathrm e}^{3}}+3+{\mathrm e}}}+4}$&$39$\\ risch&${\mathrm e}^{{\mathrm e}^{-\frac{x \,{\mathrm e}+x \,{\mathrm e}^{{\mathrm e}^{3}}+{\mathrm e}-{\mathrm e}^{x}+{\mathrm e}^{{\mathrm e}^{3}}+3 x +3}{{\mathrm e}^{{\mathrm e}^{3}}+3+{\mathrm e}}}+4}$&$39$\\ \hline \end{longtable}"," ",0,"exp(exp(((-x-1)*exp(exp(3))+exp(x)+(-x-1)*exp(1)-3*x-3)/(exp(exp(3))+3+exp(1)))+4)","A"
1966,1,7,8,0.309000," ","int(15/(15*x+11),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(15 x +11\right)$&$7$\\ norman&$\ln \left(15 x +11\right)$&$7$\\ meijerg&$\ln \left(1+\frac{15 x}{11}\right)$&$7$\\ risch&$\ln \left(15 x +11\right)$&$7$\\ \hline \end{longtable}"," ",0,"ln(15*x+11)","A"
1967,1,164,22,0.097000," ","int((2*x^2*exp(3)^2*ln(x)^2+(2*ln(-5*x)+10*exp(3))*ln(x)-ln(-5*x)^2-10*exp(3)*ln(-5*x)-25*exp(3)^2)/x/exp(3)^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+{\mathrm e}^{-6} \ln \left(x \right)+\frac{{\mathrm e}^{-6} \left(-4 \pi^{2}+100 \,{\mathrm e}^{6}+4 \ln \left(5\right)^{2}+40 \,{\mathrm e}^{3} \ln \left(5\right)-8 \pi^{2} \mathrm{csgn}\left(i x \right)^{3}+8 i \ln \left(5\right) \pi -8 i \ln \left(5\right) \pi  \mathrm{csgn}\left(i x \right)^{2}+40 i {\mathrm e}^{3} \pi  \mathrm{csgn}\left(i x \right)^{3}-40 i {\mathrm e}^{3} \pi  \mathrm{csgn}\left(i x \right)^{2}+40 i {\mathrm e}^{3} \pi +8 i \ln \left(5\right) \pi  \mathrm{csgn}\left(i x \right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i x \right)^{6}+8 \pi^{2} \mathrm{csgn}\left(i x \right)^{2}-4 \pi^{2} \mathrm{csgn}\left(i x \right)^{4}+8 \pi^{2} \mathrm{csgn}\left(i x \right)^{5}\right)}{4 \ln \left(x \right)}$&$164$\\ \hline \end{longtable}"," ",0,"x^2+exp(-6)*ln(x)+1/4*exp(-6)*(-4*Pi^2+100*exp(6)+4*ln(5)^2+40*exp(3)*ln(5)-8*Pi^2*csgn(I*x)^3+8*I*ln(5)*Pi-8*I*ln(5)*Pi*csgn(I*x)^2+40*I*exp(3)*Pi*csgn(I*x)^3-40*I*exp(3)*Pi*csgn(I*x)^2+40*I*exp(3)*Pi+8*I*ln(5)*Pi*csgn(I*x)^3-4*Pi^2*csgn(I*x)^6+8*Pi^2*csgn(I*x)^2-4*Pi^2*csgn(I*x)^4+8*Pi^2*csgn(I*x)^5)/ln(x)","C"
1968,1,18,20,0.087000," ","int((-4*x^3+5*x^2)*exp((-4*x+5)/x)+8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$8 x -{\mathrm e}^{\frac{5}{x}-4} x^{4}$&$18$\\ default&$8 x -{\mathrm e}^{\frac{5}{x}-4} x^{4}$&$18$\\ norman&$8 x -x^{4} {\mathrm e}^{\frac{-4 x +5}{x}}$&$20$\\ risch&$8 x -x^{4} {\mathrm e}^{-\frac{4 x -5}{x}}$&$21$\\ \hline \end{longtable}"," ",0,"8*x-exp(5/x-4)*x^4","A"
1969,1,18,16,0.036000," ","int((-2*x^2-18*x-50)/((x^2+10*x+30)*ln(-x^2-10*x-30)-2*x^3-42*x^2-280*x-660),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(-x^{2}-10 x -30\right)-2 x -22\right)$&$18$\\ norman&$\ln \left(2 x -\ln \left(-x^{2}-10 x -30\right)+22\right)$&$20$\\ \hline \end{longtable}"," ",0,"ln(ln(-x^2-10*x-30)-2*x-22)","A"
1970,1,13,21,0.037000," ","int((-x^2+1)*exp(x+exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\left(x -1\right)^{2} {\mathrm e}^{x +{\mathrm e}^{4}}$&$13$\\ risch&$\left(-x^{2}+2 x -1\right) {\mathrm e}^{x +{\mathrm e}^{4}}$&$17$\\ norman&$2 x \,{\mathrm e}^{x +{\mathrm e}^{4}}-x^{2} {\mathrm e}^{x +{\mathrm e}^{4}}-{\mathrm e}^{x +{\mathrm e}^{4}}$&$27$\\ meijerg&${\mathrm e}^{{\mathrm e}^{4}} \left(2-\frac{\left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}}{3}\right)-{\mathrm e}^{{\mathrm e}^{4}} \left(1-{\mathrm e}^{x}\right)$&$33$\\ derivativedivides&$-{\mathrm e}^{x +{\mathrm e}^{4}} \left(x +{\mathrm e}^{4}\right)^{2}+2 \left(x +{\mathrm e}^{4}\right) {\mathrm e}^{x +{\mathrm e}^{4}}-{\mathrm e}^{x +{\mathrm e}^{4}}-{\mathrm e}^{x +{\mathrm e}^{4}} {\mathrm e}^{8}+2 \,{\mathrm e}^{4} \left(\left(x +{\mathrm e}^{4}\right) {\mathrm e}^{x +{\mathrm e}^{4}}-{\mathrm e}^{x +{\mathrm e}^{4}}\right)$&$66$\\ default&$-{\mathrm e}^{x +{\mathrm e}^{4}} \left(x +{\mathrm e}^{4}\right)^{2}+2 \left(x +{\mathrm e}^{4}\right) {\mathrm e}^{x +{\mathrm e}^{4}}-{\mathrm e}^{x +{\mathrm e}^{4}}-{\mathrm e}^{x +{\mathrm e}^{4}} {\mathrm e}^{8}+2 \,{\mathrm e}^{4} \left(\left(x +{\mathrm e}^{4}\right) {\mathrm e}^{x +{\mathrm e}^{4}}-{\mathrm e}^{x +{\mathrm e}^{4}}\right)$&$66$\\ \hline \end{longtable}"," ",0,"-(x-1)^2*exp(x+exp(4))","A"
1971,0,0,24,0.140000," ","int((2*x*ln(5*x)*ln(ln(5*x))*ln(x^2/ln(ln(5*x)))+(x^2-2*x)*exp(x)*ln(5*x)*ln(ln(5*x))+x)/(ln(5*x)*ln(ln(5*x))*ln(x^2/ln(ln(5*x)))^2+(-2*exp(x)+2)*ln(5*x)*ln(ln(5*x))*ln(x^2/ln(ln(5*x)))+(exp(x)^2-2*exp(x)+1)*ln(5*x)*ln(ln(5*x))),x)","\[\int \frac{2 x \ln \left(5 x \right) \ln \left(\ln \left(5 x \right)\right) \ln \left(\frac{x^{2}}{\ln \left(\ln \left(5 x \right)\right)}\right)+\left(x^{2}-2 x \right) {\mathrm e}^{x} \ln \left(5 x \right) \ln \left(\ln \left(5 x \right)\right)+x}{\ln \left(5 x \right) \ln \left(\ln \left(5 x \right)\right) \ln \left(\frac{x^{2}}{\ln \left(\ln \left(5 x \right)\right)}\right)^{2}+\left(-2 \,{\mathrm e}^{x}+2\right) \ln \left(5 x \right) \ln \left(\ln \left(5 x \right)\right) \ln \left(\frac{x^{2}}{\ln \left(\ln \left(5 x \right)\right)}\right)+\left({\mathrm e}^{2 x}-2 \,{\mathrm e}^{x}+1\right) \ln \left(5 x \right) \ln \left(\ln \left(5 x \right)\right)}\, dx\]"," ",0,"int((2*x*ln(5*x)*ln(ln(5*x))*ln(x^2/ln(ln(5*x)))+(x^2-2*x)*exp(x)*ln(5*x)*ln(ln(5*x))+x)/(ln(5*x)*ln(ln(5*x))*ln(x^2/ln(ln(5*x)))^2+(-2*exp(x)+2)*ln(5*x)*ln(ln(5*x))*ln(x^2/ln(ln(5*x)))+(exp(x)^2-2*exp(x)+1)*ln(5*x)*ln(ln(5*x))),x)","F"
1972,1,28,23,0.376000," ","int((-12*exp(4)+8*x^2-8*x)*exp(((-12*x+12)*exp(4)+4*x^2)/(2*x-1)/exp(4))/(4*x^2-4*x+1)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{4 \left(3 x \,{\mathrm e}^{4}-x^{2}-3 \,{\mathrm e}^{4}\right) {\mathrm e}^{-4}}{2 x -1}}$&$28$\\ gosper&${\mathrm e}^{-\frac{4 \left(3 x \,{\mathrm e}^{4}-x^{2}-3 \,{\mathrm e}^{4}\right) {\mathrm e}^{-4}}{2 x -1}}$&$30$\\ norman&$\frac{2 x \,{\mathrm e}^{\frac{\left(\left(-12 x +12\right) {\mathrm e}^{4}+4 x^{2}\right) {\mathrm e}^{-4}}{2 x -1}}-{\mathrm e}^{\frac{\left(\left(-12 x +12\right) {\mathrm e}^{4}+4 x^{2}\right) {\mathrm e}^{-4}}{2 x -1}}}{2 x -1}$&$69$\\ \hline \end{longtable}"," ",0,"exp(-4*(3*x*exp(4)-x^2-3*exp(4))*exp(-4)/(2*x-1))","A"
1973,1,17,20,0.028000," ","int(9/2*x^2*exp(2)*exp(1/2*x^3)-3*exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 \,{\mathrm e}^{2} {\mathrm e}^{\frac{x^{3}}{2}}-3 \,{\mathrm e}^{2} x$&$17$\\ norman&$3 \,{\mathrm e}^{2} {\mathrm e}^{\frac{x^{3}}{2}}-3 \,{\mathrm e}^{2} x$&$17$\\ risch&$3 \,{\mathrm e}^{2+\frac{x^{3}}{2}}-3 \,{\mathrm e}^{2} x$&$17$\\ \hline \end{longtable}"," ",0,"3*exp(2)*exp(1/2*x^3)-3*exp(2)*x","A"
1974,1,20,20,0.051000," ","int(((-4*x*ln(7/4)+12*x)*ln(x)^2-4*x*exp(x+1)*ln(x)+4*exp(x+1))/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$12 x -\frac{4 \,{\mathrm e}^{x +1}}{\ln \left(x \right)}-4 x \ln \left(\frac{7}{4}\right)$&$20$\\ risch&$8 x \ln \left(2\right)-4 x \ln \left(7\right)+12 x -\frac{4 \,{\mathrm e}^{x +1}}{\ln \left(x \right)}$&$25$\\ norman&$\frac{\left(-4 \ln \left(7\right)+8 \ln \left(2\right)+12\right) x \ln \left(x \right)-4 \,{\mathrm e}^{x +1}}{\ln \left(x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"12*x-4*exp(x+1)/ln(x)-4*x*ln(7/4)","A"
1975,1,31,27,0.108000," ","int(-ln(2*ln(5))+(-8*x^7+5*x^6)*exp(5/x)-8*x^7-2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{8} {\mathrm e}^{\frac{5}{x}}-x^{2}-x^{8}-\ln \left(2 \ln \left(5\right)\right) x$&$31$\\ derivativedivides&$-x^{8}-x^{2}-x^{8} {\mathrm e}^{\frac{5}{x}}-x \ln \left(2\right)-x \ln \left(\ln \left(5\right)\right)$&$34$\\ risch&$-x^{8}-x^{2}-x^{8} {\mathrm e}^{\frac{5}{x}}-x \ln \left(2\right)-x \ln \left(\ln \left(5\right)\right)$&$34$\\ norman&$\left(-\ln \left(2\right)-\ln \left(\ln \left(5\right)\right)\right) x -x^{2}-x^{8}-x^{8} {\mathrm e}^{\frac{5}{x}}$&$35$\\ \hline \end{longtable}"," ",0,"-x^8*exp(5/x)-x^2-x^8-ln(2*ln(5))*x","A"
1976,1,46,23,0.377000," ","int(((-800*x^3-400*x^2)*exp(x)^2+(2*(20*x^2-80*x-80)*ln(2)+3200*x^3+1600*x^2)*exp(x)+320*ln(2)-3200*x^3-1600*x^2)/((400*x^6+800*x^5+400*x^4)*exp(x)^2+(2*(40*x^4-120*x^3-160*x^2)*ln(2)-1600*x^6-3200*x^5-1600*x^4)*exp(x)+4*(x^2-8*x+16)*ln(2)^2+2*(-80*x^4+240*x^3+320*x^2)*ln(2)+1600*x^6+3200*x^5+1600*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-20 x +10 \,{\mathrm e}^{x} x}{10 \,{\mathrm e}^{x} x^{3}+10 \,{\mathrm e}^{x} x^{2}-20 x^{3}+x \ln \left(2\right)-20 x^{2}-4 \ln \left(2\right)}$&$46$\\ risch&$\frac{1}{x \left(x +1\right)}-\frac{\left(x -4\right) \ln \left(2\right)}{\left(x +1\right) x \left(10 \,{\mathrm e}^{x} x^{3}+10 \,{\mathrm e}^{x} x^{2}-20 x^{3}+x \ln \left(2\right)-20 x^{2}-4 \ln \left(2\right)\right)}$&$61$\\ \hline \end{longtable}"," ",0,"(-20*x+10*exp(x)*x)/(10*exp(x)*x^3+10*exp(x)*x^2-20*x^3+x*ln(2)-20*x^2-4*ln(2))","A"
1977,1,25,23,0.104000," ","int(((16*x^4-24*x^3+12*x^2-2*x)*exp(2*x)-4*x*exp(5)+16*x^4-32*x^3+24*x^2-8*x+1)/(8*x^4-12*x^3+6*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\ln \left(2 x \right)+2 x +{\mathrm e}^{2 x}+\frac{{\mathrm e}^{5}}{\left(2 x -1\right)^{2}}$&$25$\\ default&$-\ln \left(2 x \right)+2 x +{\mathrm e}^{2 x}+\frac{{\mathrm e}^{5}}{\left(2 x -1\right)^{2}}$&$25$\\ risch&$2 x +\frac{{\mathrm e}^{5}}{4 x^{2}-4 x +1}-\ln \left(x \right)+{\mathrm e}^{2 x}$&$27$\\ norman&$\frac{-6 x +8 x^{3}-4 x \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{2 x} x^{2}+2+{\mathrm e}^{5}+{\mathrm e}^{2 x}}{\left(2 x -1\right)^{2}}-\ln \left(x \right)$&$46$\\ \hline \end{longtable}"," ",0,"-ln(2*x)+2*x+exp(2*x)+exp(5)/(2*x-1)^2","A"
1978,1,21,22,0.063000," ","int(((-exp(x^4)-1)*ln(exp(x^4)+1)^2+((-162*x-1)*exp(x^4)-162*x-1)*ln(exp(x^4)+1)+(4*x^4-6561*x^2)*exp(x^4)-6561*x^2)/((exp(x^4)+1)*ln(exp(x^4)+1)^2+(162*x*exp(x^4)+162*x)*ln(exp(x^4)+1)+6561*x^2*exp(x^4)+6561*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{x}{81 x +\ln \left({\mathrm e}^{x^{4}}+1\right)}$&$21$\\ norman&$\frac{\frac{\ln \left({\mathrm e}^{x^{4}}+1\right)}{81}-\ln \left({\mathrm e}^{x^{4}}+1\right) x -81 x^{2}}{81 x +\ln \left({\mathrm e}^{x^{4}}+1\right)}$&$40$\\ \hline \end{longtable}"," ",0,"-x-x/(81*x+ln(exp(x^4)+1))","A"
1979,1,30,28,0.076000," ","int(((4*x*exp(x)^2-32*exp(x)*x-2*x-2)*exp(-exp(x)^2+16*exp(x)+x-61)+4*exp(2*x+2))/(x^2*exp(-exp(x)^2+16*exp(x)+x-61)^2+(-2*x*exp(2*x+2)-6*x)*exp(-exp(x)^2+16*exp(x)+x-61)+exp(2*x+2)^2+6*exp(2*x+2)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2}{{\mathrm e}^{2 x +2}-{\mathrm e}^{-{\mathrm e}^{2 x}+16 \,{\mathrm e}^{x}+x -61} x +3}$&$30$\\ \hline \end{longtable}"," ",0,"-2/(exp(2*x+2)-exp(-exp(2*x)+16*exp(x)+x-61)*x+3)","A"
1980,1,29,21,0.067000," ","int((-x^3*ln(4*exp(exp(1)))-3*x-6)/(x^3*ln(4*exp(exp(1)))-exp(x)*x^3+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\ln \left({\mathrm e}^{x}-\frac{x^{2} {\mathrm e}+2 x^{2} \ln \left(2\right)+3}{x^{2}}\right)$&$29$\\ norman&$-x -2 \ln \left(x \right)+\ln \left(x^{2} {\mathrm e}-{\mathrm e}^{x} x^{2}+2 x^{2} \ln \left(2\right)+3\right)$&$32$\\ \hline \end{longtable}"," ",0,"-x+ln(exp(x)-(x^2*exp(1)+2*x^2*ln(2)+3)/x^2)","A"
1981,1,63,25,0.074000," ","int(1/25*((-25*x^5+250*x^4)*exp(5)^2+(-50*x^5+480*x^4+60*x^3+600*x^2)*exp(5)+15*x^7-25*x^5+230*x^4+57*x^3+596*x^2+105*x+270)/x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x}{5}+\frac{\left(50 \,{\mathrm e}^{5}+25 \,{\mathrm e}^{10}+25\right) x^{5}+\left(-125 \,{\mathrm e}^{10}-240 \,{\mathrm e}^{5}-115\right) x^{4}+\left(-20 \,{\mathrm e}^{5}-19\right) x^{3}+\left(-150 \,{\mathrm e}^{5}-149\right) x^{2}-21 x -45}{25 x^{6}}$&$63$\\ norman&$\frac{-\frac{9}{5}+\left(-6 \,{\mathrm e}^{5}-\frac{149}{25}\right) x^{2}+\left(-\frac{4 \,{\mathrm e}^{5}}{5}-\frac{19}{25}\right) x^{3}+\left(-5 \,{\mathrm e}^{10}-\frac{48 \,{\mathrm e}^{5}}{5}-\frac{23}{5}\right) x^{4}+\left({\mathrm e}^{10}+2 \,{\mathrm e}^{5}+1\right) x^{5}-\frac{21 x}{25}+\frac{3 x^{7}}{5}}{x^{6}}$&$65$\\ default&$\frac{3 x}{5}-\frac{21}{25 x^{5}}-\frac{9}{5 x^{6}}-\frac{-50 \,{\mathrm e}^{5}-25 \,{\mathrm e}^{10}-25}{25 x}-\frac{600 \,{\mathrm e}^{5}+596}{100 x^{4}}-\frac{480 \,{\mathrm e}^{5}+250 \,{\mathrm e}^{10}+230}{50 x^{2}}-\frac{60 \,{\mathrm e}^{5}+57}{75 x^{3}}$&$67$\\ gosper&$\frac{25 x^{5} {\mathrm e}^{10}+15 x^{7}-125 x^{4} {\mathrm e}^{10}+50 x^{5} {\mathrm e}^{5}-240 x^{4} {\mathrm e}^{5}+25 x^{5}-20 x^{3} {\mathrm e}^{5}-115 x^{4}-150 x^{2} {\mathrm e}^{5}-19 x^{3}-149 x^{2}-21 x -45}{25 x^{6}}$&$82$\\ \hline \end{longtable}"," ",0,"3/5*x+1/25*((50*exp(5)+25*exp(10)+25)*x^5+(-125*exp(10)-240*exp(5)-115)*x^4+(-20*exp(5)-19)*x^3+(-150*exp(5)-149)*x^2-21*x-45)/x^6","B"
1982,1,24,26,0.062000," ","int((x^3*exp(-2*x^2+2*x)^2+(6*x^4+4*x^3-12*x^2+6*x+6)*exp(-2*x^2+2*x)+x^5+6*x^4+8*x^3+9*x+18)/(x^3*exp(-2*x^2+2*x)^2+(2*x^4+6*x^3)*exp(-2*x^2+2*x)+x^5+6*x^4+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x^{2}-3}{x^{2} \left(3+{\mathrm e}^{-2 x \left(x -1\right)}+x \right)}$&$24$\\ norman&$\frac{-3+x^{4}+x^{2}+3 x^{3}+{\mathrm e}^{-2 x^{2}+2 x} x^{3}}{x^{2} \left(3+{\mathrm e}^{-2 x^{2}+2 x}+x \right)}$&$47$\\ \hline \end{longtable}"," ",0,"x+(x^2-3)/x^2/(3+exp(-2*x*(x-1))+x)","A"
1983,1,285,25,0.549000," ","int(((((x^2+x)*exp(x)^2-2*exp(x)*x^2)*ln(x)+(x+1)*exp(x)-2*x)*ln(2/(x^4*exp(x)^2*ln(x)^2+2*x^3*exp(x)*ln(x)+x^2))+((2*x^2+4*x)*exp(x)^2+(-2*x^3-4*x^2)*exp(x))*ln(x)+2*x*exp(x)^2+(-2*x^2+2)*exp(x)-2*x)/(x*exp(x)*ln(x)+1)/ln(2/(x^4*exp(x)^2*ln(x)^2+2*x^3*exp(x)*ln(x)+x^2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i \left(x -{\mathrm e}^{x}\right) x}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{\left(x \,{\mathrm e}^{x} \ln \left(x \right)+1\right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2} \left(x \,{\mathrm e}^{x} \ln \left(x \right)+1\right)^{2}}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2} \left(x \,{\mathrm e}^{x} \ln \left(x \right)+1\right)^{2}}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{\left(x \,{\mathrm e}^{x} \ln \left(x \right)+1\right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2} \left(x \,{\mathrm e}^{x} \ln \left(x \right)+1\right)^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{x} \ln \left(x \right)+1\right)\right)^{2} \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{x} \ln \left(x \right)+1\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{x} \ln \left(x \right)+1\right)\right) \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{x} \ln \left(x \right)+1\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{x} \ln \left(x \right)+1\right)^{2}\right)^{3}-\pi  \mathrm{csgn}\left(\frac{i}{x^{2} \left(x \,{\mathrm e}^{x} \ln \left(x \right)+1\right)^{2}}\right)^{3}+4 i \ln \left(x \,{\mathrm e}^{x} \ln \left(x \right)+1\right)+4 i \ln \left(x \right)-2 i \ln \left(2\right)}$&$285$\\ \hline \end{longtable}"," ",0,"2*I*(x-exp(x))*x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I/x^2)*csgn(I/(x*exp(x)*ln(x)+1)^2)*csgn(I/x^2/(x*exp(x)*ln(x)+1)^2)+Pi*csgn(I/x^2)*csgn(I/x^2/(x*exp(x)*ln(x)+1)^2)^2+Pi*csgn(I/(x*exp(x)*ln(x)+1)^2)*csgn(I/x^2/(x*exp(x)*ln(x)+1)^2)^2+Pi*csgn(I*(x*exp(x)*ln(x)+1))^2*csgn(I*(x*exp(x)*ln(x)+1)^2)-2*Pi*csgn(I*(x*exp(x)*ln(x)+1))*csgn(I*(x*exp(x)*ln(x)+1)^2)^2+Pi*csgn(I*(x*exp(x)*ln(x)+1)^2)^3-Pi*csgn(I/x^2/(x*exp(x)*ln(x)+1)^2)^3+4*I*ln(x*exp(x)*ln(x)+1)+4*I*ln(x)-2*I*ln(2))","C"
1984,1,35,21,0.038000," ","int((-2*x*ln(x)*ln(ln(x))^2+(2*ln(3)^2*ln(x)-2*x)*ln(ln(x))-2*ln(x)+2*ln(3)^2)/ln(x)/exp(x^2*ln(ln(x))^2-2*x*ln(3)^2*ln(ln(x))+ln(3)^4+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{2 x \ln \left(3\right)^{2}} {\mathrm e}^{-x^{2} \ln \left(\ln \left(x \right)\right)^{2}-\ln \left(3\right)^{4}-2 x}$&$35$\\ \hline \end{longtable}"," ",0,"1/(ln(x)^(-2*x*ln(3)^2))*exp(-x^2*ln(ln(x))^2-ln(3)^4-2*x)","A"
1985,1,12,14,0.027000," ","int((exp(5)-2*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{{\mathrm e}^{5}+x^{3}}{x}$&$12$\\ default&$-x^{2}-\frac{{\mathrm e}^{5}}{x}$&$14$\\ risch&$-x^{2}-\frac{{\mathrm e}^{5}}{x}$&$14$\\ norman&$\frac{-x^{3}-{\mathrm e}^{5}}{x}$&$15$\\ \hline \end{longtable}"," ",0,"-(exp(5)+x^3)/x","A"
1986,1,1246,26,0.646000," ","int(((4*x^2-16*x)*exp(x)^2*exp(exp(x)^2)^2+(((-4*x^2+16*x)*exp(x)^3+(-2*x^2+8*x)*exp(x))*ln((3*x-12)/x)+(4*x^3+4*x^2-80*x)*exp(x)^3+(4*x^3-16*x^2)*exp(x)^2+(2*x^3+4*x^2-48*x-8)*exp(x)+2*x^2-8*x)*exp(exp(x)^2)+(2*x^2-8*x)*exp(x)^2*ln((3*x-12)/x)^2+((-4*x^3-6*x^2+88*x+8)*exp(x)^2+(-2*x^3+6*x^2+8*x)*exp(x))*ln((3*x-12)/x)+(2*x^4+14*x^3-28*x^2-248*x-40)*exp(x)^2+(2*x^4+6*x^3-46*x^2-48*x)*exp(x)+2*x^3-8*x^2)/(x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$i \pi  x \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{3} {\mathrm e}^{2 x}+i \pi  x \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{3} {\mathrm e}^{x}+\frac{{\mathrm e}^{2 x} \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -4\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{3}}{2}-{\mathrm e}^{2 x} \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{4}-\frac{{\mathrm e}^{2 x} \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \left(x -4\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2}}{4}-\frac{{\mathrm e}^{2 x} \pi^{2} \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{6}}{4}+2 x \,{\mathrm e}^{x} \ln \left(x \right)+25 \,{\mathrm e}^{2 x}+x^{2}+{\mathrm e}^{2 x} x^{2}+10 x \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x^{2}+10 \,{\mathrm e}^{x} x -\frac{{\mathrm e}^{2 x} \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{4}}{4}+\frac{{\mathrm e}^{2 x} \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{5}}{2}-\frac{{\mathrm e}^{2 x} \pi^{2} \mathrm{csgn}\left(i \left(x -4\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{4}}{4}+\frac{{\mathrm e}^{2 x} \pi^{2} \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{5}}{2}+5 i \pi  \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{3} {\mathrm e}^{2 x}+\ln \left(x \right)^{2} {\mathrm e}^{2 x}-2 x \ln \left(3\right) {\mathrm e}^{x}-10 \ln \left(3\right) {\mathrm e}^{2 x}+\left(2 x +i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right) {\mathrm e}^{x}-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{x}-i \pi  \,\mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{x}+i \pi  \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{3} {\mathrm e}^{x}-2 \ln \left(3\right) {\mathrm e}^{x}+2 \,{\mathrm e}^{x} x +10 \,{\mathrm e}^{x}+2 \,{\mathrm e}^{x} \ln \left(x \right)-2 \,{\mathrm e}^{x} \ln \left(x -4\right)\right) {\mathrm e}^{{\mathrm e}^{2 x}}+\left(-2 \,{\mathrm e}^{2 x} \ln \left(x \right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right) {\mathrm e}^{2 x}+i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{2 x}+i \pi  \,\mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{2 x}-i \pi  \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{3} {\mathrm e}^{2 x}+2 \ln \left(3\right) {\mathrm e}^{2 x}-2 x \,{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} x -10 \,{\mathrm e}^{2 x}\right) \ln \left(x -4\right)+{\mathrm e}^{2 \,{\mathrm e}^{2 x}}+i {\mathrm e}^{2 x} \pi  \ln \left(3\right) \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{2 x} \ln \left(x \right)-i \pi  \,\mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{2 x} \ln \left(x \right)-i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{2 x}-i \pi  x \,\mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{2 x}-i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{x}-i \pi  x \,\mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{x}+\ln \left(3\right)^{2} {\mathrm e}^{2 x}+10 \,{\mathrm e}^{2 x} \ln \left(x \right)+{\mathrm e}^{2 x} \ln \left(x -4\right)^{2}+5 i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right) {\mathrm e}^{2 x}+i {\mathrm e}^{2 x} \pi  \ln \left(3\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2}-2 \ln \left(3\right) {\mathrm e}^{2 x} x -i {\mathrm e}^{2 x} \pi  \ln \left(3\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{3}+\frac{{\mathrm e}^{2 x} \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{3}}{2}-5 i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{2 x}-5 i \pi  \,\mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{2 x}+i \pi  \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{3} {\mathrm e}^{2 x} \ln \left(x \right)-2 \ln \left(3\right) {\mathrm e}^{2 x} \ln \left(x \right)+2 x \,{\mathrm e}^{2 x} \ln \left(x \right)-i {\mathrm e}^{2 x} \pi  \ln \left(3\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)+i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right) {\mathrm e}^{x}+i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right) {\mathrm e}^{2 x}+i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right) {\mathrm e}^{2 x} \ln \left(x \right)$&$1246$\\ \hline \end{longtable}"," ",0,"-I*exp(2*x)*Pi*ln(3)*csgn(I/x*(x-4))^3-I*exp(2*x)*Pi*ln(3)*csgn(I/x)*csgn(I*(x-4))*csgn(I/x*(x-4))+1/2*exp(2*x)*Pi^2*csgn(I/x)^2*csgn(I*(x-4))*csgn(I/x*(x-4))^3+I*Pi*x*csgn(I/x)*csgn(I*(x-4))*csgn(I/x*(x-4))*exp(x)+2*x*exp(x)*ln(x)+25*exp(2*x)+x^2+exp(2*x)*x^2+10*x*exp(2*x)+2*exp(x)*x^2+10*exp(x)*x-1/4*exp(2*x)*Pi^2*csgn(I/x)^2*csgn(I/x*(x-4))^4+1/2*exp(2*x)*Pi^2*csgn(I/x)*csgn(I/x*(x-4))^5-1/4*exp(2*x)*Pi^2*csgn(I*(x-4))^2*csgn(I/x*(x-4))^4+1/2*exp(2*x)*Pi^2*csgn(I*(x-4))*csgn(I/x*(x-4))^5+5*I*Pi*csgn(I/x*(x-4))^3*exp(2*x)+ln(x)^2*exp(2*x)-2*x*ln(3)*exp(x)+(2*x+I*Pi*csgn(I/x)*csgn(I*(x-4))*csgn(I/x*(x-4))*exp(x)-I*Pi*csgn(I/x)*csgn(I/x*(x-4))^2*exp(x)-I*Pi*csgn(I*(x-4))*csgn(I/x*(x-4))^2*exp(x)+I*Pi*csgn(I/x*(x-4))^3*exp(x)-2*ln(3)*exp(x)+2*exp(x)*x+10*exp(x)+2*exp(x)*ln(x)-2*exp(x)*ln(x-4))*exp(exp(2*x))-10*ln(3)*exp(2*x)+exp(2*exp(2*x))+ln(3)^2*exp(2*x)+10*exp(2*x)*ln(x)+I*Pi*x*csgn(I/x)*csgn(I*(x-4))*csgn(I/x*(x-4))*exp(2*x)+(-2*exp(2*x)*ln(x)-I*Pi*csgn(I/x)*csgn(I*(x-4))*csgn(I/x*(x-4))*exp(2*x)+I*Pi*csgn(I/x)*csgn(I/x*(x-4))^2*exp(2*x)+I*Pi*csgn(I*(x-4))*csgn(I/x*(x-4))^2*exp(2*x)-I*Pi*csgn(I/x*(x-4))^3*exp(2*x)+2*ln(3)*exp(2*x)-2*x*exp(2*x)-2*exp(x)*x-10*exp(2*x))*ln(x-4)+exp(2*x)*ln(x-4)^2+I*exp(2*x)*Pi*ln(3)*csgn(I/x)*csgn(I/x*(x-4))^2+I*exp(2*x)*Pi*ln(3)*csgn(I*(x-4))*csgn(I/x*(x-4))^2+I*Pi*csgn(I/x*(x-4))^3*exp(2*x)*ln(x)+I*Pi*x*csgn(I/x*(x-4))^3*exp(2*x)-2*ln(3)*exp(2*x)*x+5*I*Pi*csgn(I/x)*csgn(I*(x-4))*csgn(I/x*(x-4))*exp(2*x)-I*Pi*csgn(I/x)*csgn(I/x*(x-4))^2*exp(2*x)*ln(x)-I*Pi*csgn(I*(x-4))*csgn(I/x*(x-4))^2*exp(2*x)*ln(x)-I*Pi*x*csgn(I/x)*csgn(I/x*(x-4))^2*exp(2*x)-I*Pi*x*csgn(I*(x-4))*csgn(I/x*(x-4))^2*exp(2*x)-I*Pi*x*csgn(I/x)*csgn(I/x*(x-4))^2*exp(x)-I*Pi*x*csgn(I*(x-4))*csgn(I/x*(x-4))^2*exp(x)-1/4*exp(2*x)*Pi^2*csgn(I/x*(x-4))^6+I*Pi*x*csgn(I/x*(x-4))^3*exp(x)+1/2*exp(2*x)*Pi^2*csgn(I/x)*csgn(I*(x-4))^2*csgn(I/x*(x-4))^3-exp(2*x)*Pi^2*csgn(I/x)*csgn(I*(x-4))*csgn(I/x*(x-4))^4-1/4*exp(2*x)*Pi^2*csgn(I/x)^2*csgn(I*(x-4))^2*csgn(I/x*(x-4))^2-5*I*Pi*csgn(I/x)*csgn(I/x*(x-4))^2*exp(2*x)-5*I*Pi*csgn(I*(x-4))*csgn(I/x*(x-4))^2*exp(2*x)-2*ln(3)*exp(2*x)*ln(x)+2*x*exp(2*x)*ln(x)+I*Pi*csgn(I/x)*csgn(I*(x-4))*csgn(I/x*(x-4))*exp(2*x)*ln(x)","C"
1987,1,88,23,0.051000," ","int((((-36*x^3-396*x^2-1152*x-576)*ln(2)^2+(-96*x^2-576*x-384)*ln(2)-64*x-64)*exp(x)+(108*x^2+576*x+576)*exp(3)*ln(2)^2+(192*x+384)*exp(3)*ln(2)+64*exp(3))/exp(3)/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$36 x^{3}+288 x^{2}+576 x +\frac{96 x^{2}}{\ln \left(2\right)}+\frac{384 x}{\ln \left(2\right)}+\frac{64 x}{\ln \left(2\right)^{2}}+\frac{\left(-36 x^{3} \ln \left(2\right)^{2}-288 x^{2} \ln \left(2\right)^{2}-576 x \ln \left(2\right)^{2}-96 x^{2} \ln \left(2\right)-384 x \ln \left(2\right)-64 x \right) {\mathrm e}^{x -3}}{\ln \left(2\right)^{2}}$&$88$\\ norman&$\frac{\left(288 \ln \left(2\right)+96\right) x^{2}+36 x^{3} \ln \left(2\right)+\frac{64 \left(9 \ln \left(2\right)^{2}+6 \ln \left(2\right)+1\right) x}{\ln \left(2\right)}-96 \left(3 \ln \left(2\right)+1\right) {\mathrm e}^{-3} x^{2} {\mathrm e}^{x}-36 \ln \left(2\right) {\mathrm e}^{-3} x^{3} {\mathrm e}^{x}-\frac{64 \left(9 \ln \left(2\right)^{2}+6 \ln \left(2\right)+1\right) {\mathrm e}^{-3} x \,{\mathrm e}^{x}}{\ln \left(2\right)}}{\ln \left(2\right)}$&$98$\\ default&$\frac{{\mathrm e}^{-3} \left(-64 \,{\mathrm e}^{x} x -96 x^{2} \ln \left(2\right) {\mathrm e}^{x}-384 x \ln \left(2\right) {\mathrm e}^{x}-288 \,{\mathrm e}^{x} \ln \left(2\right)^{2} x^{2}-576 x \ln \left(2\right)^{2} {\mathrm e}^{x}-36 \,{\mathrm e}^{x} \ln \left(2\right)^{2} x^{3}+96 \,{\mathrm e}^{3} \ln \left(2\right) x^{2}+384 \,{\mathrm e}^{3} \ln \left(2\right) x +36 \,{\mathrm e}^{3} \ln \left(2\right)^{2} x^{3}+288 \,{\mathrm e}^{3} \ln \left(2\right)^{2} x^{2}+576 \,{\mathrm e}^{3} \ln \left(2\right)^{2} x +64 x \,{\mathrm e}^{3}\right)}{\ln \left(2\right)^{2}}$&$115$\\ \hline \end{longtable}"," ",0,"36*x^3+288*x^2+576*x+96*x^2/ln(2)+384*x/ln(2)+64*x/ln(2)^2+(-36*x^3*ln(2)^2-288*x^2*ln(2)^2-576*x*ln(2)^2-96*x^2*ln(2)-384*x*ln(2)-64*x)/ln(2)^2*exp(x-3)","B"
1988,1,46,20,0.066000," ","int(1/2*(-3*x+2)*exp(2*exp(12)-3/4*x)^2+1/2*(12*x^2-14*x-24)*exp(2*exp(12)-3/4*x)+48*x^2+96*x+36,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{4 \,{\mathrm e}^{12}-\frac{3 x}{2}} x +\frac{\left(-16 x^{2}-24 x \right) {\mathrm e}^{2 \,{\mathrm e}^{12}-\frac{3 x}{4}}}{2}+16 x^{3}+48 x^{2}+36 x$&$46$\\ norman&${\mathrm e}^{4 \,{\mathrm e}^{12}-\frac{3 x}{2}} x +36 x +48 x^{2}+16 x^{3}-12 \,{\mathrm e}^{2 \,{\mathrm e}^{12}-\frac{3 x}{4}} x -8 \,{\mathrm e}^{2 \,{\mathrm e}^{12}-\frac{3 x}{4}} x^{2}$&$54$\\ default&$16 x^{3}+48 x^{2}+36 x -\frac{4 \,{\mathrm e}^{4 \,{\mathrm e}^{12}-\frac{3 x}{2}} \left(2 \,{\mathrm e}^{12}-\frac{3 x}{4}\right)}{3}+\frac{8 \,{\mathrm e}^{4 \,{\mathrm e}^{12}-\frac{3 x}{2}} {\mathrm e}^{12}}{3}+16 \,{\mathrm e}^{2 \,{\mathrm e}^{12}-\frac{3 x}{4}} \left(2 \,{\mathrm e}^{12}-\frac{3 x}{4}\right)-\frac{128 \,{\mathrm e}^{2 \,{\mathrm e}^{12}-\frac{3 x}{4}} \left(2 \,{\mathrm e}^{12}-\frac{3 x}{4}\right)^{2}}{9}+\frac{224 \,{\mathrm e}^{2 \,{\mathrm e}^{12}-\frac{3 x}{4}} {\mathrm e}^{12}}{9}-\frac{512 \,{\mathrm e}^{2 \,{\mathrm e}^{12}-\frac{3 x}{4}} {\mathrm e}^{24}}{9}+\frac{512 \,{\mathrm e}^{12} \left({\mathrm e}^{2 \,{\mathrm e}^{12}-\frac{3 x}{4}} \left(2 \,{\mathrm e}^{12}-\frac{3 x}{4}\right)-{\mathrm e}^{2 \,{\mathrm e}^{12}-\frac{3 x}{4}}\right)}{9}$&$153$\\ derivativedivides&$-96 \,{\mathrm e}^{12}+36 x +\frac{256 \left(2 \,{\mathrm e}^{12}-\frac{3 x}{4}\right)^{2}}{3}+16 x^{3}-\frac{4 \,{\mathrm e}^{4 \,{\mathrm e}^{12}-\frac{3 x}{2}} \left(2 \,{\mathrm e}^{12}-\frac{3 x}{4}\right)}{3}+\frac{8 \,{\mathrm e}^{4 \,{\mathrm e}^{12}-\frac{3 x}{2}} {\mathrm e}^{12}}{3}+16 \,{\mathrm e}^{2 \,{\mathrm e}^{12}-\frac{3 x}{4}} \left(2 \,{\mathrm e}^{12}-\frac{3 x}{4}\right)-\frac{128 \,{\mathrm e}^{2 \,{\mathrm e}^{12}-\frac{3 x}{4}} \left(2 \,{\mathrm e}^{12}-\frac{3 x}{4}\right)^{2}}{9}+\frac{224 \,{\mathrm e}^{2 \,{\mathrm e}^{12}-\frac{3 x}{4}} {\mathrm e}^{12}}{9}-\frac{512 \,{\mathrm e}^{2 \,{\mathrm e}^{12}-\frac{3 x}{4}} {\mathrm e}^{24}}{9}+\frac{512 \,{\mathrm e}^{12} \left({\mathrm e}^{2 \,{\mathrm e}^{12}-\frac{3 x}{4}} \left(2 \,{\mathrm e}^{12}-\frac{3 x}{4}\right)-{\mathrm e}^{2 \,{\mathrm e}^{12}-\frac{3 x}{4}}\right)}{9}-\frac{1024 \left(2 \,{\mathrm e}^{12}-\frac{3 x}{4}\right) {\mathrm e}^{12}}{3}$&$176$\\ \hline \end{longtable}"," ",0,"exp(4*exp(12)-3/2*x)*x+1/2*(-16*x^2-24*x)*exp(2*exp(12)-3/4*x)+16*x^3+48*x^2+36*x","B"
1989,1,20,19,0.030000," ","int((-ln(ln(1/4*ln(exp(16)+1)^2)/x)-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{\ln \left(\frac{\ln \left(\frac{\ln \left({\mathrm e}^{16}+1\right)^{2}}{4}\right)}{x}\right)}{x}$&$20$\\ default&$\frac{\ln \left(\frac{\ln \left(\frac{\ln \left({\mathrm e}^{16}+1\right)^{2}}{4}\right)}{x}\right)}{x}$&$20$\\ norman&$\frac{\ln \left(\frac{\ln \left(\frac{\ln \left({\mathrm e}^{16}+1\right)^{2}}{4}\right)}{x}\right)}{x}$&$20$\\ risch&$\frac{\ln \left(\frac{-2 \ln \left(2\right)+2 \ln \left(\ln \left({\mathrm e}^{16}+1\right)\right)}{x}\right)}{x}$&$23$\\ \hline \end{longtable}"," ",0,"ln(ln(1/4*ln(exp(16)+1)^2)/x)/x","A"
1990,1,15,17,0.016000," ","int(-16*ln(x)+32*x-629/10,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{469 x}{10}+16 x^{2}-16 x \ln \left(x \right)$&$15$\\ norman&$-\frac{469 x}{10}+16 x^{2}-16 x \ln \left(x \right)$&$15$\\ risch&$-\frac{469 x}{10}+16 x^{2}-16 x \ln \left(x \right)$&$15$\\ \hline \end{longtable}"," ",0,"-469/10*x+16*x^2-16*x*ln(x)","A"
1991,1,10,21,0.019000," ","int(10*exp(x-7)/(exp(x-7)-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$10 \ln \left({\mathrm e}^{x -7}-3\right)$&$10$\\ default&$10 \ln \left({\mathrm e}^{x -7}-3\right)$&$10$\\ norman&$10 \ln \left({\mathrm e}^{x -7}-3\right)$&$10$\\ risch&$70+10 \ln \left({\mathrm e}^{x -7}-3\right)$&$12$\\ \hline \end{longtable}"," ",0,"10*ln(exp(x-7)-3)","A"
1992,1,9,11,0.023000," ","int(-ln(2/13)-2*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(x +\ln \left(\frac{2}{13}\right)-2\right)$&$9$\\ default&$-\ln \left(\frac{2}{13}\right) x -x^{2}+2 x$&$15$\\ norman&$\left(-\ln \left(2\right)+\ln \left(13\right)+2\right) x -x^{2}$&$17$\\ risch&$-x \ln \left(2\right)+x \ln \left(13\right)-x^{2}+2 x$&$19$\\ \hline \end{longtable}"," ",0,"-x*(x+ln(2/13)-2)","A"
1993,0,0,21,0.187000," ","int(-48*exp(3/ln(1/2+1/4*ln(x^2))^2)*exp(exp(3/ln(1/2+1/4*ln(x^2))^2))/(x*ln(x^2)+2*x)/ln(1/2+1/4*ln(x^2))^3,x)","\[\int -\frac{48 \,{\mathrm e}^{\frac{3}{\ln \left(\frac{1}{2}+\frac{\ln \left(x^{2}\right)}{4}\right)^{2}}} {\mathrm e}^{{\mathrm e}^{\frac{3}{\ln \left(\frac{1}{2}+\frac{\ln \left(x^{2}\right)}{4}\right)^{2}}}}}{\left(x \ln \left(x^{2}\right)+2 x \right) \ln \left(\frac{1}{2}+\frac{\ln \left(x^{2}\right)}{4}\right)^{3}}\, dx\]"," ",0,"int(-48*exp(3/ln(1/2+1/4*ln(x^2))^2)*exp(exp(3/ln(1/2+1/4*ln(x^2))^2))/(x*ln(x^2)+2*x)/ln(1/2+1/4*ln(x^2))^3,x)","F"
1994,1,44,42,0.030000," ","int(((320*x^3+2880*x^2+9600*x+11520)*exp(5)^2+(-1280*x-3840)*exp(5)-1280*x-3840)/exp(5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$80 x^{4}+960 x^{3}+4800 x^{2}+11520 x -640 x^{2} {\mathrm e}^{-5}-3840 x \,{\mathrm e}^{-5}-640 x^{2} {\mathrm e}^{-10}-3840 \,{\mathrm e}^{-10} x$&$44$\\ default&${\mathrm e}^{-10} \left({\mathrm e}^{10} \left(80 x^{4}+960 x^{3}+4800 x^{2}+11520 x \right)+{\mathrm e}^{5} \left(-640 x^{2}-3840 x \right)-640 x^{2}-3840 x \right)$&$51$\\ gosper&$80 x \left(x^{3} {\mathrm e}^{10}+12 x^{2} {\mathrm e}^{10}+60 x \,{\mathrm e}^{10}+144 \,{\mathrm e}^{10}-8 x \,{\mathrm e}^{5}-48 \,{\mathrm e}^{5}-8 x -48\right) {\mathrm e}^{-10}$&$52$\\ norman&$\left(960 x^{3} {\mathrm e}^{5}+80 x^{4} {\mathrm e}^{5}+3840 \left(3 \,{\mathrm e}^{10}-{\mathrm e}^{5}-1\right) {\mathrm e}^{-5} x +320 \left(15 \,{\mathrm e}^{10}-2 \,{\mathrm e}^{5}-2\right) {\mathrm e}^{-5} x^{2}\right) {\mathrm e}^{-5}$&$61$\\ \hline \end{longtable}"," ",0,"80*x^4+960*x^3+4800*x^2+11520*x-640*x^2*exp(-5)-3840*x*exp(-5)-640*x^2*exp(-10)-3840*exp(-10)*x","A"
1995,1,13,12,0.044000," ","int((3145728*exp(65536/x^48)-4*x^49)/x^49,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-4 x -{\mathrm e}^{\frac{65536}{x^{48}}}$&$13$\\ default&$-4 x -{\mathrm e}^{\frac{65536}{x^{48}}}$&$13$\\ risch&$-4 x -{\mathrm e}^{\frac{65536}{x^{48}}}$&$13$\\ \hline \end{longtable}"," ",0,"-4*x-exp(1/x^48)^65536","A"
1996,1,11218,26,4.648000," ","int(((324*exp(x)*x^3-324*x^5)*ln(1/2*(-exp(x)+x^2)/x)^4+(((-540*x^4+2160*x^3)*exp(5-x)+324*x^4-324*x^3)*exp(x)+(540*x^6-2160*x^5)*exp(5-x)-324*x^5)*ln(1/2*(-exp(x)+x^2)/x)^3+(((-2700*x^4+5400*x^3)*exp(5-x)^2+(1620*x^4-1620*x^3)*exp(5-x))*exp(x)+(2700*x^6-5400*x^5)*exp(5-x)^2-1620*x^5*exp(5-x))*ln(1/2*(-exp(x)+x^2)/x)^2+(((-4500*x^4+6000*x^3)*exp(5-x)^3+(2700*x^4-2700*x^3)*exp(5-x)^2)*exp(x)+(4500*x^6-6000*x^5)*exp(5-x)^3-2700*x^5*exp(5-x)^2)*ln(1/2*(-exp(x)+x^2)/x)+((-2500*x^4+2500*x^3)*exp(5-x)^4+(1500*x^4-1500*x^3)*exp(5-x)^3)*exp(x)+(2500*x^6-2500*x^5)*exp(5-x)^4-1500*x^5*exp(5-x)^3)/(81*exp(x)-81*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$11218$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
1997,1,71,22,0.121000," ","int((((3*x+3)*exp(x)*ln(x)+2*x*exp(x)^2-3*exp(x))*ln(x^2)+(-4*x*exp(x)^2+6*exp(x))*ln(x))/(4*exp(x)^2*x^2-12*exp(x)*x+9)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3}{2 \,{\mathrm e}^{x} x -3}+\frac{i x \pi  \,\mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x} \left(\mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{2 \left(2 \,{\mathrm e}^{x} x -3\right) \ln \left(x \right)}$&$71$\\ \hline \end{longtable}"," ",0,"-3/(2*exp(x)*x-3)+1/2*I*x*Pi*csgn(I*x^2)*exp(x)*(csgn(I*x)^2-2*csgn(I*x^2)*csgn(I*x)+csgn(I*x^2)^2)/(2*exp(x)*x-3)/ln(x)","C"
1998,0,0,24,0.118000," ","int(((-x^2-2*x)*ln(3)*ln(x^2)*ln(x^2*ln(x^2))+((-2*x^2-4*x)*ln(3)+4+3*x)*ln(x^2)+(-2*x^2-4*x)*ln(3))*exp(x*ln(3)*ln(x^2*ln(x^2)))/(x^5+4*x^4+4*x^3)/ln(x^2),x)","\[\int \frac{\left(\left(-x^{2}-2 x \right) \ln \left(3\right) \ln \left(x^{2}\right) \ln \left(x^{2} \ln \left(x^{2}\right)\right)+\left(\left(-2 x^{2}-4 x \right) \ln \left(3\right)+4+3 x \right) \ln \left(x^{2}\right)+\left(-2 x^{2}-4 x \right) \ln \left(3\right)\right) {\mathrm e}^{x \ln \left(3\right) \ln \left(x^{2} \ln \left(x^{2}\right)\right)}}{\left(x^{5}+4 x^{4}+4 x^{3}\right) \ln \left(x^{2}\right)}\, dx\]"," ",0,"int(((-x^2-2*x)*ln(3)*ln(x^2)*ln(x^2*ln(x^2))+((-2*x^2-4*x)*ln(3)+4+3*x)*ln(x^2)+(-2*x^2-4*x)*ln(3))*exp(x*ln(3)*ln(x^2*ln(x^2)))/(x^5+4*x^4+4*x^3)/ln(x^2),x)","F"
1999,1,22,16,0.040000," ","int((30*x^3+8)/(75*x^4-40*x^3-10*x)/ln(1/2*(15*x^3-8*x^2-2)/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \ln \left(\ln \left(\frac{15 x^{3}-8 x^{2}-2}{2 x^{2}}\right)\right)}{5}$&$22$\\ risch&$\frac{2 \ln \left(\ln \left(\frac{15 x^{3}-8 x^{2}-2}{2 x^{2}}\right)\right)}{5}$&$22$\\ \hline \end{longtable}"," ",0,"2/5*ln(ln(1/2*(15*x^3-8*x^2-2)/x^2))","A"
2000,1,25,26,0.052000," ","int((exp(exp(x)+x^2-x+3)^2+(exp(x)*x^2+2*x^3-3*x^2-x)*exp(exp(x)+x^2-x+3)+x^4-x^3)/(x*exp(exp(x)+x^2-x+3)^2-2*x^3*exp(exp(x)+x^2-x+3)+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\frac{x}{x^{2}-{\mathrm e}^{{\mathrm e}^{x}+x^{2}-x +3}}$&$25$\\ \hline \end{longtable}"," ",0,"ln(x)+x/(x^2-exp(exp(x)+x^2-x+3))","A"
2001,1,34,19,0.079000," ","int(((x^2+2*x-6)*exp(exp(4*x-1))-100*exp(4*x-1)+25)/((x^2-6)*exp(exp(4*x-1))+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -{\mathrm e}^{4 x -1}+\ln \left({\mathrm e}^{{\mathrm e}^{4 x -1}} x^{2}-6 \,{\mathrm e}^{{\mathrm e}^{4 x -1}}+25\right)$&$34$\\ risch&$x +\ln \left(x^{2}-6\right)-{\mathrm e}^{4 x -1}+\ln \left({\mathrm e}^{{\mathrm e}^{4 x -1}}+\frac{25}{x^{2}-6}\right)$&$35$\\ \hline \end{longtable}"," ",0,"x-exp(4*x-1)+ln(exp(exp(4*x-1))*x^2-6*exp(exp(4*x-1))+25)","A"
2002,1,24,20,0.071000," ","int(1/3*((3*x^2+3)*ln(2*x*ln(2))^2-20*x^2*exp(2)*ln(2*x*ln(2))+20*x^2*exp(2))/x^2/ln(2*x*ln(2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}-1}{x}-\frac{20 x \,{\mathrm e}^{2}}{3 \ln \left(2 x \ln \left(2\right)\right)}$&$24$\\ norman&$\frac{x^{2} \ln \left(2 x \ln \left(2\right)\right)-\frac{20 x^{2} {\mathrm e}^{2}}{3}-\ln \left(2 x \ln \left(2\right)\right)}{x \ln \left(2 x \ln \left(2\right)\right)}$&$39$\\ derivativedivides&$\frac{2 \ln \left(2\right) \left(\frac{5 \,{\mathrm e}^{2} \expIntegralEi \left(1, -\ln \left(2 x \ln \left(2\right)\right)\right)}{\ln \left(2\right)^{2}}-\frac{3}{2 x \ln \left(2\right)}+\frac{3 x}{2 \ln \left(2\right)}+\frac{5 \,{\mathrm e}^{2} \left(-\frac{2 x \ln \left(2\right)}{\ln \left(2 x \ln \left(2\right)\right)}-\expIntegralEi \left(1, -\ln \left(2 x \ln \left(2\right)\right)\right)\right)}{\ln \left(2\right)^{2}}\right)}{3}$&$74$\\ default&$\frac{2 \ln \left(2\right) \left(\frac{5 \,{\mathrm e}^{2} \expIntegralEi \left(1, -\ln \left(2 x \ln \left(2\right)\right)\right)}{\ln \left(2\right)^{2}}-\frac{3}{2 x \ln \left(2\right)}+\frac{3 x}{2 \ln \left(2\right)}+\frac{5 \,{\mathrm e}^{2} \left(-\frac{2 x \ln \left(2\right)}{\ln \left(2 x \ln \left(2\right)\right)}-\expIntegralEi \left(1, -\ln \left(2 x \ln \left(2\right)\right)\right)\right)}{\ln \left(2\right)^{2}}\right)}{3}$&$74$\\ \hline \end{longtable}"," ",0,"(x^2-1)/x-20/3*x/ln(2*x*ln(2))*exp(2)","A"
2003,1,14,16,0.026000," ","int(21504*ln(2*ln(2))+1536*x+3072,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$768 x \left(x +28 \ln \left(2 \ln \left(2\right)\right)+4\right)$&$14$\\ default&$21504 x \ln \left(2 \ln \left(2\right)\right)+768 x^{2}+3072 x$&$18$\\ norman&$\left(21504 \ln \left(2\right)+21504 \ln \left(\ln \left(2\right)\right)+3072\right) x +768 x^{2}$&$20$\\ risch&$21504 x \ln \left(\ln \left(2\right)\right)+21504 x \ln \left(2\right)+768 x^{2}+3072 x$&$21$\\ \hline \end{longtable}"," ",0,"768*x*(x+28*ln(2*ln(2))+4)","A"
2004,1,17,16,0.049000," ","int((4*ln(x)-4)*exp(x/ln(x))*ln(exp(x/ln(x))+2-1/2*exp(5))/(2*ln(x)^2*exp(x/ln(x))+(4-exp(5))*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{\frac{x}{\ln \left(x \right)}}+2-\frac{{\mathrm e}^{5}}{2}\right)^{2}$&$17$\\ \hline \end{longtable}"," ",0,"ln(exp(x/ln(x))+2-1/2*exp(5))^2","A"
2005,1,16,13,0.145000," ","int((-3*x^2*exp(-3/2*x-5)+90)/(2*x^2*exp(-3/2*x-5)-90*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5+\ln \left({\mathrm e}^{-\frac{3 x}{2}-5}-\frac{45}{x}\right)$&$16$\\ norman&$-\ln \left(x \right)+\ln \left(x \,{\mathrm e}^{-\frac{3 x}{2}-5}-45\right)$&$17$\\ \hline \end{longtable}"," ",0,"5+ln(exp(-3/2*x-5)-45/x)","A"
2006,1,14,15,0.088000," ","int((8*x-8)/(x*ln(x)^2+(-2*x*exp(exp(2))-2*x^2)*ln(x)+x*exp(exp(2))^2+2*x^2*exp(exp(2))+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{8}{{\mathrm e}^{{\mathrm e}^{2}}+x -\ln \left(x \right)}$&$14$\\ risch&$-\frac{8}{{\mathrm e}^{{\mathrm e}^{2}}+x -\ln \left(x \right)}$&$14$\\ \hline \end{longtable}"," ",0,"-8/(exp(exp(2))+x-ln(x))","A"
2007,1,24,21,0.379000," ","int((18*x*ln(15*exp(x^2-10/9*x+25/81))-36*x^3+20*x^2-72*x)/(9*ln(15*exp(x^2-10/9*x+25/81))^3-108*ln(15*exp(x^2-10/9*x+25/81))^2+432*ln(15*exp(x^2-10/9*x+25/81))-576),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{6561 x^{2}}{\left(81 \ln \left(15 \,{\mathrm e}^{x^{2}-\frac{10}{9} x +\frac{25}{81}}\right)-324\right)^{2}}$&$24$\\ risch&$-\frac{4 x^{2}}{\left(2 i \ln \left(5\right)+2 i \ln \left(3\right)+2 i \ln \left({\mathrm e}^{\frac{\left(9 x -5\right)^{2}}{81}}\right)-8 i\right)^{2}}$&$35$\\ \hline \end{longtable}"," ",0,"6561*x^2/(81*ln(15*exp(x^2-10/9*x+25/81))-324)^2","A"
2008,1,19,21,0.227000," ","int(((2*x^2-9)*exp(5/x)+8*x^2-16)/(x^2*exp(5/x)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{4}{x}+\ln \left({\mathrm e}^{\frac{5}{x}}+4\right)$&$19$\\ norman&$\frac{2 x^{2}+4}{x}+\ln \left({\mathrm e}^{\frac{5}{x}}+4\right)$&$22$\\ \hline \end{longtable}"," ",0,"2*x+4/x+ln(exp(5/x)+4)","A"
2009,1,14,15,0.023000," ","int((4*exp(x)+4*x+7)/(4*exp(x)+2*x^2+7*x+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\frac{x^{2}}{2}+\frac{7 x}{4}+{\mathrm e}^{x}+9\right)$&$14$\\ derivativedivides&$\ln \left(4 \,{\mathrm e}^{x}+2 x^{2}+7 x +36\right)$&$16$\\ default&$\ln \left(4 \,{\mathrm e}^{x}+2 x^{2}+7 x +36\right)$&$16$\\ norman&$\ln \left(4 \,{\mathrm e}^{x}+2 x^{2}+7 x +36\right)$&$16$\\ \hline \end{longtable}"," ",0,"ln(1/2*x^2+7/4*x+exp(x)+9)","A"
2010,1,50,15,0.054000," ","int(1/8*((4*x*exp(5+x)-16*x+16)*ln(x)+x*exp(5+x)^2+(-4*x^2-1596*x+4)*exp(5+x)+16*x^2+6352*x-6368)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{2 x +10}}{16}-\frac{x \,{\mathrm e}^{5+x}}{2}+\frac{\ln \left(x \right) {\mathrm e}^{5+x}}{2}-199 \,{\mathrm e}^{5+x}+x^{2}+796 x -796 \ln \left(x \right)-2 x \ln \left(x \right)+\ln \left(x \right)^{2}$&$50$\\ norman&$\frac{{\mathrm e}^{2 x +10}}{16}-\frac{x \,{\mathrm e}^{5+x}}{2}+\frac{\ln \left(x \right) {\mathrm e}^{5+x}}{2}-199 \,{\mathrm e}^{5+x}+x^{2}+796 x -796 \ln \left(x \right)-2 x \ln \left(x \right)+\ln \left(x \right)^{2}$&$50$\\ risch&$\ln \left(x \right)^{2}+\frac{\left(-16 x +4 \,{\mathrm e}^{5+x}\right) \ln \left(x \right)}{8}+x^{2}+796 x -796 \ln \left(x \right)+\frac{{\mathrm e}^{2 x +10}}{16}-\frac{x \,{\mathrm e}^{5+x}}{2}-199 \,{\mathrm e}^{5+x}$&$51$\\ \hline \end{longtable}"," ",0,"1/16*exp(5+x)^2-1/2*x*exp(5+x)+1/2*ln(x)*exp(5+x)-199*exp(5+x)+x^2+796*x-796*ln(x)-2*x*ln(x)+ln(x)^2","B"
2011,1,104,18,0.082000," ","int(((16*exp(x)-64*x*exp(1)-256*x)*exp((exp(1)+4)/exp(x))^4+((128*x+256)*exp(x)+(-192*x^2-768*x)*exp(1)-768*x^2-3072*x)*exp((exp(1)+4)/exp(x))^3+((288*x^2+1536*x+1536)*exp(x)+(-192*x^3-1536*x^2-3072*x)*exp(1)-768*x^3-6144*x^2-12288*x)*exp((exp(1)+4)/exp(x))^2+((256*x^3+2304*x^2+6144*x+4096)*exp(x)+(-64*x^4-768*x^3-3072*x^2-4096*x)*exp(1)-256*x^4-3072*x^3-12288*x^2-16384*x)*exp((exp(1)+4)/exp(x))+(80*x^4+1024*x^3+4608*x^2+8192*x+4096)*exp(x))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{5}+16 \,{\mathrm e}^{4 \left({\mathrm e}+4\right) {\mathrm e}^{-x}} x +256 x^{4}+1536 x^{3}+4096 x^{2}+4096 x +64 \left(4+x \right) x \,{\mathrm e}^{3 \left({\mathrm e}+4\right) {\mathrm e}^{-x}}+96 \left(x^{2}+8 x +16\right) x \,{\mathrm e}^{2 \left({\mathrm e}+4\right) {\mathrm e}^{-x}}+64 \left(x^{3}+12 x^{2}+48 x +64\right) x \,{\mathrm e}^{\left({\mathrm e}+4\right) {\mathrm e}^{-x}}$&$104$\\ \hline \end{longtable}"," ",0,"16*x^5+16*exp(4*(exp(1)+4)*exp(-x))*x+256*x^4+1536*x^3+4096*x^2+4096*x+64*(4+x)*x*exp(3*(exp(1)+4)*exp(-x))+96*(x^2+8*x+16)*x*exp(2*(exp(1)+4)*exp(-x))+64*(x^3+12*x^2+48*x+64)*x*exp((exp(1)+4)*exp(-x))","B"
2012,1,22,23,0.060000," ","int((18*exp(3)*exp(x)^2+(-10*x^2-16*x)*exp(3)*exp(x)+8*x^2*exp(3))/(exp(x)^2-2*exp(x)*x+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$18 x \,{\mathrm e}^{3}-\frac{10 x^{2} {\mathrm e}^{3}}{x -{\mathrm e}^{x}}$&$22$\\ norman&$\frac{8 x^{2} {\mathrm e}^{3}-18 x \,{\mathrm e}^{3} {\mathrm e}^{x}}{x -{\mathrm e}^{x}}$&$25$\\ \hline \end{longtable}"," ",0,"18*x*exp(3)-10*x^2*exp(3)/(x-exp(x))","A"
2013,1,22,23,0.028000," ","int((-4*x^3-6*x)*exp(1/4)^2+4*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{1}{2}} x^{4}-3 x^{2} {\mathrm e}^{\frac{1}{2}}+2 x^{2}+x$&$22$\\ gosper&$-x \left({\mathrm e}^{\frac{1}{2}} x^{3}+3 x \,{\mathrm e}^{\frac{1}{2}}-2 x -1\right)$&$24$\\ default&${\mathrm e}^{\frac{1}{2}} \left(-x^{4}-3 x^{2}\right)+2 x^{2}+x$&$24$\\ norman&$x +\left(-3 \,{\mathrm e}^{\frac{1}{2}}+2\right) x^{2}-{\mathrm e}^{\frac{1}{2}} x^{4}$&$24$\\ \hline \end{longtable}"," ",0,"-exp(1/2)*x^4-3*x^2*exp(1/2)+2*x^2+x","A"
2014,1,36,24,0.170000," ","int((16*exp(1)-2*x^3+24*x^2-64*x+256)/((4*x-16)*exp(1)+x^4+52*x^3-704*x^2+2944*x-4096)/ln((4*exp(1)+x^3+56*x^2-480*x+1024)/(4*x^2-32*x+64))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2}{\ln \left(\frac{4 \,{\mathrm e}+x^{3}+56 x^{2}-480 x +1024}{4 x^{2}-32 x +64}\right)}$&$36$\\ risch&$\frac{2}{\ln \left(\frac{4 \,{\mathrm e}+x^{3}+56 x^{2}-480 x +1024}{4 x^{2}-32 x +64}\right)}$&$36$\\ \hline \end{longtable}"," ",0,"2/ln((4*exp(1)+x^3+56*x^2-480*x+1024)/(4*x^2-32*x+64))","A"
2015,1,16,19,0.012000," ","int(1/4*(x*exp(1/4*ln(2*x)+10)-12)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{\frac{\ln \left(2 x \right)}{4}+10}+\frac{3}{x}$&$16$\\ \hline \end{longtable}"," ",0,"exp(1/4*ln(2*x)+10)+3/x","A"
2016,1,9,8,0.025000," ","int(1125*x^4*exp(225*x^5-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{225 x^{5}-2}$&$9$\\ derivativedivides&${\mathrm e}^{225 x^{5}-2}$&$9$\\ default&${\mathrm e}^{225 x^{5}-2}$&$9$\\ norman&${\mathrm e}^{225 x^{5}-2}$&$9$\\ risch&${\mathrm e}^{225 x^{5}-2}$&$9$\\ meijerg&$-{\mathrm e}^{-2} \left(1-{\mathrm e}^{225 x^{5}}\right)$&$15$\\ \hline \end{longtable}"," ",0,"exp(225*x^5-2)","A"
2017,0,0,21,0.059000," ","int(((-9*ln(x^2)+x*exp(exp(2))-x)*ln((9*ln(x^2)-x*exp(exp(2))+x)/x)-9*ln(x^2)+18)/(9*x^2*ln(x^2)-x^3*exp(exp(2))+x^3),x)","\[\int \frac{\left(-9 \ln \left(x^{2}\right)+x \,{\mathrm e}^{{\mathrm e}^{2}}-x \right) \ln \left(\frac{9 \ln \left(x^{2}\right)-x \,{\mathrm e}^{{\mathrm e}^{2}}+x}{x}\right)-9 \ln \left(x^{2}\right)+18}{9 x^{2} \ln \left(x^{2}\right)-x^{3} {\mathrm e}^{{\mathrm e}^{2}}+x^{3}}\, dx\]"," ",0,"int(((-9*ln(x^2)+x*exp(exp(2))-x)*ln((9*ln(x^2)-x*exp(exp(2))+x)/x)-9*ln(x^2)+18)/(9*x^2*ln(x^2)-x^3*exp(exp(2))+x^3),x)","F"
2018,1,15,20,0.049000," ","int(1/4*(4+2*ln(2))*exp((4+2*ln(2))/x)*exp(exp((4+2*ln(2))/x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\frac{{\mathrm e}^{{\mathrm e}^{\frac{4+2 \ln \left(2\right)}{x}}}}{4}$&$15$\\ norman&$-\frac{{\mathrm e}^{{\mathrm e}^{\frac{4+2 \ln \left(2\right)}{x}}}}{4}$&$15$\\ default&$-\frac{\left(1+\frac{\ln \left(2\right)}{2}\right) {\mathrm e}^{{\mathrm e}^{\frac{4+2 \ln \left(2\right)}{x}}}}{4+2 \ln \left(2\right)}$&$29$\\ risch&$-\frac{{\mathrm e}^{4^{\frac{1}{x}} {\mathrm e}^{\frac{4}{x}}}}{2 \left(\ln \left(2\right)+2\right)}-\frac{{\mathrm e}^{4^{\frac{1}{x}} {\mathrm e}^{\frac{4}{x}}} \ln \left(2\right)}{4 \left(\ln \left(2\right)+2\right)}$&$46$\\ \hline \end{longtable}"," ",0,"-1/4*exp(exp((4+2*ln(2))/x))","A"
2019,1,23,18,0.026000," ","int(((4*x^3+12*x^2-2)*ln(x)+2*x^3+4*x^2-x-2)*exp((-x-2)/(2*x^3-x)/ln(x))/(4*x^6-4*x^4+x^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2+x}{x \left(2 x^{2}-1\right) \ln \left(x \right)}}$&$23$\\ \hline \end{longtable}"," ",0,"exp(-(2+x)/x/(2*x^2-1)/ln(x))","A"
2020,1,32,24,0.063000," ","int((((1-x)*exp(exp(1))+exp(1)^2*exp(x)+(-x^2+x)*exp(1)^2)*exp(x/exp(x))+exp(1)^2*exp(5)*exp(x))/exp(x)/exp(exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{7-{\mathrm e}}+\left({\mathrm e}^{2} x +{\mathrm e}^{{\mathrm e}}\right) {\mathrm e}^{-{\mathrm e}+x \,{\mathrm e}^{-x}}$&$32$\\ norman&$\left({\mathrm e}^{x} {\mathrm e}^{x \,{\mathrm e}^{-x}}+{\mathrm e}^{2} {\mathrm e}^{-{\mathrm e}} x \,{\mathrm e}^{x} {\mathrm e}^{x \,{\mathrm e}^{-x}}+{\mathrm e}^{-{\mathrm e}} {\mathrm e}^{2} {\mathrm e}^{5} x \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}$&$52$\\ \hline \end{longtable}"," ",0,"x*exp(7-exp(1))+(exp(2)*x+exp(exp(1)))*exp(-exp(1)+x*exp(-x))","A"
2021,1,26,26,0.049000," ","int((((9*x^4-6*x^3-23*x^2+8*x+16)*exp(x)+9*x^3-15*x^2-8*x+16)*exp(exp(x)*x+x)+(-9*x^3+15*x^2+8*x-16)*exp(x)*ln(x+1)+(-9*x^2+24*x-16)*exp(x)+60*x+60)/(9*x^3-15*x^2-8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x +1\right) {\mathrm e}^{x}-\frac{20}{3 x -4}+{\mathrm e}^{x \left({\mathrm e}^{x}+1\right)}$&$26$\\ \hline \end{longtable}"," ",0,"-ln(x+1)*exp(x)-20/(3*x-4)+exp(x*(exp(x)+1))","A"
2022,1,28,26,0.284000," ","int((4*exp(x)^2+(-8*ln(2)+(-4*x^3-6*x^2+18*x+18)*ln(3)-16)*exp(x)+4*ln(2)^2+2*((-6*x^2-18*x-9)*ln(3)+8)*ln(2)+(-24*x^2-72*x-36)*ln(3)+16)/(4*exp(x)^2+(-8*ln(2)-16)*exp(x)+4*ln(2)^2+16*ln(2)+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{\left(2 x^{2}+9 x +9\right) \ln \left(3\right) x}{2 \left(\ln \left(2\right)-{\mathrm e}^{x}+2\right)}$&$28$\\ norman&$\frac{\left(2-\frac{9 \ln \left(3\right)}{2}+\ln \left(2\right)\right) x -\frac{9 x^{2} \ln \left(3\right)}{2}-x^{3} \ln \left(3\right)-{\mathrm e}^{x} x}{\ln \left(2\right)-{\mathrm e}^{x}+2}$&$42$\\ \hline \end{longtable}"," ",0,"x-1/2*(2*x^2+9*x+9)*ln(3)*x/(ln(2)-exp(x)+2)","A"
2023,1,45,52,0.209000," ","int((((200*x^4-300*x^2+50)*exp(x^4-3*x^2+4)-50)*ln(x*exp(x^4-3*x^2+4)-x)+(-600*x^4+900*x^2+x-150)*exp(x^4-3*x^2+4)-x+150)/(x*exp(x^4-3*x^2+4)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +25 \ln \left(x \,{\mathrm e}^{x^{4}-3 x^{2}+4}-x \right)^{2}-150 \ln \left(x \right)-150 \ln \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)$&$45$\\ risch&$25 \ln \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)^{2}+\left(50 \ln \left(x \right)-200\right) \ln \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)+25 \ln \left(x \right)^{2}-200+25 i \pi  \ln \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right)^{2}-25 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right)+25 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right)^{2}+x -150 \ln \left(x \right)-25 i \pi  \ln \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right)^{3}+100 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right)+100 i \pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right)^{3}-100 i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right)^{2}+25 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right)^{2}+50 \ln \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)-100 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right)^{2}-25 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right)^{3}+25 i \pi  \ln \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right)^{2}-25 i \pi  \ln \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{4}-3 x^{2}+4}-1\right)\right)$&$547$\\ \hline \end{longtable}"," ",0,"x+25*ln(x*exp(x^4-3*x^2+4)-x)^2-150*ln(x)-150*ln(exp(x^4-3*x^2+4)-1)","A"
2024,1,45,25,0.087000," ","int((((-8*x+1)*exp(4)+1)*ln(5)+(-4*x^3-48*x+6)*exp(4)+6)*exp((((-4*x^2+x)*exp(4)+x)*ln(5)+(-x^4-24*x^2+6*x)*exp(4)+6*x)/(ln(5)+6))/(ln(5)+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{x \left(x^{3} {\mathrm e}^{4}+4 x \,{\mathrm e}^{4} \ln \left(5\right)-{\mathrm e}^{4} \ln \left(5\right)+24 x \,{\mathrm e}^{4}-\ln \left(5\right)-6 \,{\mathrm e}^{4}-6\right)}{\ln \left(5\right)+6}}$&$45$\\ derivativedivides&${\mathrm e}^{\frac{\left(\left(-4 x^{2}+x \right) {\mathrm e}^{4}+x \right) \ln \left(5\right)+\left(-x^{4}-24 x^{2}+6 x \right) {\mathrm e}^{4}+6 x}{\ln \left(5\right)+6}}$&$45$\\ default&${\mathrm e}^{\frac{\left(\left(-4 x^{2}+x \right) {\mathrm e}^{4}+x \right) \ln \left(5\right)+\left(-x^{4}-24 x^{2}+6 x \right) {\mathrm e}^{4}+6 x}{\ln \left(5\right)+6}}$&$45$\\ norman&${\mathrm e}^{\frac{\left(\left(-4 x^{2}+x \right) {\mathrm e}^{4}+x \right) \ln \left(5\right)+\left(-x^{4}-24 x^{2}+6 x \right) {\mathrm e}^{4}+6 x}{\ln \left(5\right)+6}}$&$45$\\ risch&${\mathrm e}^{-\frac{x \left(x^{3} {\mathrm e}^{4}+4 x \,{\mathrm e}^{4} \ln \left(5\right)-{\mathrm e}^{4} \ln \left(5\right)+24 x \,{\mathrm e}^{4}-\ln \left(5\right)-6 \,{\mathrm e}^{4}-6\right)}{\ln \left(5\right)+6}}$&$45$\\ \hline \end{longtable}"," ",0,"exp(-x*(x^3*exp(4)+4*x*exp(4)*ln(5)-exp(4)*ln(5)+24*x*exp(4)-ln(5)-6*exp(4)-6)/(ln(5)+6))","A"
2025,1,28,21,0.049000," ","int(((x+16)*ln(4/ln(2))+x^3-16*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(-2 \ln \left(2\right)+\ln \left(\ln \left(2\right)\right)+16\right) x -16 \ln \left(2\right)+8 \ln \left(\ln \left(2\right)\right)}{x^{2}}$&$28$\\ default&$x -\frac{\ln \left(\frac{4}{\ln \left(2\right)}\right)-16}{x}-\frac{8 \ln \left(\frac{4}{\ln \left(2\right)}\right)}{x^{2}}$&$29$\\ norman&$\frac{x^{3}+\left(-2 \ln \left(2\right)+\ln \left(\ln \left(2\right)\right)+16\right) x -16 \ln \left(2\right)+8 \ln \left(\ln \left(2\right)\right)}{x^{2}}$&$29$\\ gosper&$-\frac{-x^{3}+\ln \left(\frac{4}{\ln \left(2\right)}\right) x +8 \ln \left(\frac{4}{\ln \left(2\right)}\right)-16 x}{x^{2}}$&$33$\\ \hline \end{longtable}"," ",0,"x+((-2*ln(2)+ln(ln(2))+16)*x-16*ln(2)+8*ln(ln(2)))/x^2","A"
2026,1,18,19,0.035000," ","int((exp(4+x)*exp(exp(4+x))+1)*exp(exp(exp(4+x))+x)+2-2*ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{4+x}}+x}-2 x \ln \left(2\right)$&$18$\\ norman&$\left(2-2 \ln \left(2\right)\right) x +{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{4+x}}+x}$&$18$\\ risch&$2 x +{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{4+x}}+x}-2 x \ln \left(2\right)$&$18$\\ \hline \end{longtable}"," ",0,"2*x+exp(exp(exp(4+x))+x)-2*x*ln(2)","A"
2027,1,17,20,0.033000," ","int((-400*x^2*ln(x)^2+1209*x*ln(x)+9*x-900)/(200*x^3*ln(x)^2-600*x^2*ln(x)+450*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{9}{100 \left(2 x \ln \left(x \right)-3\right)}-2 \ln \left(x \right)$&$17$\\ risch&$-\frac{9}{100 \left(2 x \ln \left(x \right)-3\right)}-2 \ln \left(x \right)$&$17$\\ \hline \end{longtable}"," ",0,"-9/100/(2*x*ln(x)-3)-2*ln(x)","A"
2028,1,9,19,0.035000," ","int(-2*ln(x)/x/exp(8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)^{2} {\mathrm e}^{-8}$&$9$\\ derivativedivides&$-\ln \left(x \right)^{2} {\mathrm e}^{-8}$&$11$\\ default&$-\ln \left(x \right)^{2} {\mathrm e}^{-8}$&$11$\\ norman&$-\ln \left(x \right)^{2} {\mathrm e}^{-8}$&$11$\\ \hline \end{longtable}"," ",0,"-ln(x)^2*exp(-8)","A"
2029,1,28,22,0.228000," ","int((15*exp(5)*exp(1/3*x)+(2*x+6)*exp(5))/((3*x^2-15*x)*exp(1/3*x)-6*x)/ln(((5-x)*exp(1/3*x)+2)/x/exp(1/3*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{5} \ln \left(\ln \left(\frac{\left(\left(5-x \right) {\mathrm e}^{\frac{x}{3}}+2\right) {\mathrm e}^{-\frac{x}{3}}}{x}\right)\right)$&$28$\\ risch&${\mathrm e}^{5} \ln \left(\ln \left({\mathrm e}^{\frac{x}{3}}\right)-\frac{i \left(-2 \pi  \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{\frac{x}{3}}-5 \,{\mathrm e}^{\frac{x}{3}}-2\right) {\mathrm e}^{-\frac{x}{3}}}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{x}{3}} \left(x \,{\mathrm e}^{\frac{x}{3}}-5 \,{\mathrm e}^{\frac{x}{3}}-2\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{\frac{x}{3}}-5 \,{\mathrm e}^{\frac{x}{3}}-2\right) {\mathrm e}^{-\frac{x}{3}}}{x}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{\frac{x}{3}}-5 \,{\mathrm e}^{\frac{x}{3}}-2\right) {\mathrm e}^{-\frac{x}{3}}}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{\frac{x}{3}}-5 \,{\mathrm e}^{\frac{x}{3}}-2\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{x}{3}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{x}{3}} \left(x \,{\mathrm e}^{\frac{x}{3}}-5 \,{\mathrm e}^{\frac{x}{3}}-2\right)\right)+\pi  \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{\frac{x}{3}}-5 \,{\mathrm e}^{\frac{x}{3}}-2\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{x}{3}} \left(x \,{\mathrm e}^{\frac{x}{3}}-5 \,{\mathrm e}^{\frac{x}{3}}-2\right)\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-\frac{x}{3}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{x}{3}} \left(x \,{\mathrm e}^{\frac{x}{3}}-5 \,{\mathrm e}^{\frac{x}{3}}-2\right)\right)^{2}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{-\frac{x}{3}} \left(x \,{\mathrm e}^{\frac{x}{3}}-5 \,{\mathrm e}^{\frac{x}{3}}-2\right)\right)^{3}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-\frac{x}{3}} \left(x \,{\mathrm e}^{\frac{x}{3}}-5 \,{\mathrm e}^{\frac{x}{3}}-2\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{\frac{x}{3}}-5 \,{\mathrm e}^{\frac{x}{3}}-2\right) {\mathrm e}^{-\frac{x}{3}}}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{\frac{x}{3}}-5 \,{\mathrm e}^{\frac{x}{3}}-2\right) {\mathrm e}^{-\frac{x}{3}}}{x}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left(x \,{\mathrm e}^{\frac{x}{3}}-5 \,{\mathrm e}^{\frac{x}{3}}-2\right)+2 \pi \right)}{2}\right)$&$400$\\ \hline \end{longtable}"," ",0,"exp(5)*ln(ln(((5-x)*exp(1/3*x)+2)/x/exp(1/3*x)))","A"
2030,1,27,24,0.055000," ","int(((2*(2*x*exp(4)+2*x^2)*ln(2)*exp(exp(4)^2+2*x*exp(4)+x^2)+2*x*ln(2))*ln(x)-2*ln(2))/(x*ln(x)*ln(ln(x))^2+(-2*x*exp(exp(4)^2+2*x*exp(4)+x^2)-2*x^2+8*x)*ln(x)*ln(ln(x))+(x*exp(exp(4)^2+2*x*exp(4)+x^2)^2+(2*x^2-8*x)*exp(exp(4)^2+2*x*exp(4)+x^2)+x^3-8*x^2+16*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \ln \left(2\right)}{x +{\mathrm e}^{{\mathrm e}^{8}+2 x \,{\mathrm e}^{4}+x^{2}}-\ln \left(\ln \left(x \right)\right)-4}$&$27$\\ \hline \end{longtable}"," ",0,"-2*ln(2)/(x+exp(exp(8)+2*x*exp(4)+x^2)-ln(ln(x))-4)","A"
2031,1,20,22,0.028000," ","int(1/5*(-50*x^2*exp(x)*exp(exp(x))^2-4*exp(2/x)^2-x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{\frac{4}{x}}}{5}-5 \,{\mathrm e}^{2 \,{\mathrm e}^{x}}-\frac{x}{5}$&$20$\\ risch&$\frac{{\mathrm e}^{\frac{4}{x}}}{5}-5 \,{\mathrm e}^{2 \,{\mathrm e}^{x}}-\frac{x}{5}$&$20$\\ \hline \end{longtable}"," ",0,"-1/5*x+1/5*exp(1/x)^4-5*exp(exp(x))^2","A"
2032,1,34,22,0.097000," ","int(((ln(2*x)-4)*ln(ln(2*x)-4)+((3*x^2+2*x)*ln(x)+4*x^3+4*x^2-x)*ln(2*x)+(-12*x^2-8*x)*ln(x)-16*x^3-16*x^2+4*x+1)/(ln(2*x)-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}+x^{3} \ln \left(x \right)+x^{3}+x^{2} \ln \left(x \right)-x^{2}+x \ln \left(\ln \left(2\right)+\ln \left(x \right)-4\right)$&$34$\\ \hline \end{longtable}"," ",0,"x^4+x^3*ln(x)+x^3+x^2*ln(x)-x^2+x*ln(ln(2)+ln(x)-4)","A"
2033,1,22,16,0.066000," ","int((-90*x^3-45*x^2+180)*exp(15*x/(3*x^3+3*x^2+58*x+12))/(9*x^6+18*x^5+357*x^4+420*x^3+3436*x^2+1392*x+144),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{15 x}{3 x^{3}+3 x^{2}+58 x +12}}$&$22$\\ risch&${\mathrm e}^{\frac{15 x}{3 x^{3}+3 x^{2}+58 x +12}}$&$22$\\ norman&$\frac{58 x \,{\mathrm e}^{\frac{15 x}{3 x^{3}+3 x^{2}+58 x +12}}+3 x^{2} {\mathrm e}^{\frac{15 x}{3 x^{3}+3 x^{2}+58 x +12}}+3 x^{3} {\mathrm e}^{\frac{15 x}{3 x^{3}+3 x^{2}+58 x +12}}+12 \,{\mathrm e}^{\frac{15 x}{3 x^{3}+3 x^{2}+58 x +12}}}{3 x^{3}+3 x^{2}+58 x +12}$&$119$\\ \hline \end{longtable}"," ",0,"exp(15*x/(3*x^3+3*x^2+58*x+12))","A"
2034,1,26,31,0.350000," ","int((((-6*x^2+30*x)*exp(5)*ln(5)+(9*x^3-45*x^2+x-5)*exp(5))*ln(5-x)+3*x^2*exp(5)*ln(5)+(-3*x^3-x)*exp(5))/(3*x-15)/ln(5-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \,{\mathrm e}^{5} \left(3 x \ln \left(5\right)-3 x^{2}-1\right)}{3 \ln \left(5-x \right)}$&$26$\\ norman&$\frac{x^{3} {\mathrm e}^{5}+\frac{x \,{\mathrm e}^{5}}{3}-x^{2} {\mathrm e}^{5} \ln \left(5\right)}{\ln \left(5-x \right)}$&$31$\\ derivativedivides&$2 \,{\mathrm e}^{5} \ln \left(5\right) \expIntegralEi \left(1, -2 \ln \left(5-x \right)\right)+3 \,{\mathrm e}^{5} \expIntegralEi \left(1, -3 \ln \left(5-x \right)\right)-10 \,{\mathrm e}^{5} \ln \left(5\right) \expIntegralEi \left(1, -\ln \left(5-x \right)\right)+{\mathrm e}^{5} \ln \left(5\right) \left(-\frac{\left(5-x \right)^{2}}{\ln \left(5-x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(5-x \right)\right)\right)-30 \,{\mathrm e}^{5} \expIntegralEi \left(1, -2 \ln \left(5-x \right)\right)+{\mathrm e}^{5} \left(-\frac{\left(5-x \right)^{3}}{\ln \left(5-x \right)}-3 \expIntegralEi \left(1, -3 \ln \left(5-x \right)\right)\right)-10 \,{\mathrm e}^{5} \ln \left(5\right) \left(-\frac{5-x}{\ln \left(5-x \right)}-\expIntegralEi \left(1, -\ln \left(5-x \right)\right)\right)+\frac{226 \,{\mathrm e}^{5} \expIntegralEi \left(1, -\ln \left(5-x \right)\right)}{3}-15 \,{\mathrm e}^{5} \left(-\frac{\left(5-x \right)^{2}}{\ln \left(5-x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(5-x \right)\right)\right)-\frac{25 \,{\mathrm e}^{5} \ln \left(5\right)}{\ln \left(5-x \right)}+\frac{226 \,{\mathrm e}^{5} \left(-\frac{5-x}{\ln \left(5-x \right)}-\expIntegralEi \left(1, -\ln \left(5-x \right)\right)\right)}{3}+\frac{380 \,{\mathrm e}^{5}}{3 \ln \left(5-x \right)}$&$270$\\ default&$2 \,{\mathrm e}^{5} \ln \left(5\right) \expIntegralEi \left(1, -2 \ln \left(5-x \right)\right)+3 \,{\mathrm e}^{5} \expIntegralEi \left(1, -3 \ln \left(5-x \right)\right)-10 \,{\mathrm e}^{5} \ln \left(5\right) \expIntegralEi \left(1, -\ln \left(5-x \right)\right)+{\mathrm e}^{5} \ln \left(5\right) \left(-\frac{\left(5-x \right)^{2}}{\ln \left(5-x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(5-x \right)\right)\right)-30 \,{\mathrm e}^{5} \expIntegralEi \left(1, -2 \ln \left(5-x \right)\right)+{\mathrm e}^{5} \left(-\frac{\left(5-x \right)^{3}}{\ln \left(5-x \right)}-3 \expIntegralEi \left(1, -3 \ln \left(5-x \right)\right)\right)-10 \,{\mathrm e}^{5} \ln \left(5\right) \left(-\frac{5-x}{\ln \left(5-x \right)}-\expIntegralEi \left(1, -\ln \left(5-x \right)\right)\right)+\frac{226 \,{\mathrm e}^{5} \expIntegralEi \left(1, -\ln \left(5-x \right)\right)}{3}-15 \,{\mathrm e}^{5} \left(-\frac{\left(5-x \right)^{2}}{\ln \left(5-x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(5-x \right)\right)\right)-\frac{25 \,{\mathrm e}^{5} \ln \left(5\right)}{\ln \left(5-x \right)}+\frac{226 \,{\mathrm e}^{5} \left(-\frac{5-x}{\ln \left(5-x \right)}-\expIntegralEi \left(1, -\ln \left(5-x \right)\right)\right)}{3}+\frac{380 \,{\mathrm e}^{5}}{3 \ln \left(5-x \right)}$&$270$\\ \hline \end{longtable}"," ",0,"-1/3*x*exp(5)*(3*x*ln(5)-3*x^2-1)/ln(5-x)","A"
2035,1,8,10,0.030000," ","int((exp(4)*exp(x)+1)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-4}+{\mathrm e}^{x}$&$8$\\ norman&$x \,{\mathrm e}^{-4}+{\mathrm e}^{x}$&$10$\\ default&${\mathrm e}^{-4} \left(x +{\mathrm e}^{4} {\mathrm e}^{x}\right)$&$13$\\ derivativedivides&${\mathrm e}^{-4} \left({\mathrm e}^{4} {\mathrm e}^{x}+\ln \left({\mathrm e}^{x}\right)\right)$&$15$\\ \hline \end{longtable}"," ",0,"x*exp(-4)+exp(x)","A"
2036,1,29,27,0.219000," ","int((-250*x*exp(x)^3-150*exp(x)^2*x^2+((-250*x^2+250*x)*ln(2)*exp((4*exp(2)+1)/exp(2))-30*x^3)*exp(x)-2*x^4)/(125*exp((4*exp(2)+1)/exp(2))*exp(x)^3+75*x*exp((4*exp(2)+1)/exp(2))*exp(x)^2+15*x^2*exp((4*exp(2)+1)/exp(2))*exp(x)+x^3*exp((4*exp(2)+1)/exp(2))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} {\mathrm e}^{-4-{\mathrm e}^{-2}}+\frac{25 \ln \left(2\right) x^{2}}{\left(5 \,{\mathrm e}^{x}+x \right)^{2}}$&$29$\\ norman&$\frac{-625 \ln \left(2\right) {\mathrm e}^{2 x}-250 x \ln \left(2\right) {\mathrm e}^{x}-{\mathrm e}^{-{\mathrm e}^{-2}} {\mathrm e}^{-4} x^{4}-25 \,{\mathrm e}^{-{\mathrm e}^{-2}} {\mathrm e}^{-4} x^{2} {\mathrm e}^{2 x}-10 \,{\mathrm e}^{-{\mathrm e}^{-2}} {\mathrm e}^{-4} x^{3} {\mathrm e}^{x}}{\left(5 \,{\mathrm e}^{x}+x \right)^{2}}$&$80$\\ \hline \end{longtable}"," ",0,"-x^2*exp(-4-exp(-2))+25*ln(2)*x^2/(5*exp(x)+x)^2","A"
2037,1,28,23,0.132000," ","int((-exp(4)*exp(x)-1)/(exp(4)*exp(x)-exp(4)*(4*ln(2)+I*Pi)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left({\mathrm e}^{x}-i \left(-4 i {\mathrm e}^{4} \ln \left(2\right)+\pi  \,{\mathrm e}^{4}+i x \right) {\mathrm e}^{-4}\right)$&$28$\\ \hline \end{longtable}"," ",0,"-ln(exp(x)-I*(-4*I*exp(4)*ln(2)+Pi*exp(4)+I*x)*exp(-4))","A"
2038,1,41,22,0.225000," ","int(1/16*((-16*exp(25)+x^2-256)*exp(3+x)^2+(-4*x^2+64*x+64)*exp(3+x)-8*x-4)/x^2/exp(3+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{16}+\frac{{\mathrm e}^{25}}{x}+\frac{16}{x}+\frac{\left(x -16\right) {\mathrm e}^{-3-x}}{4 x}+\frac{{\mathrm e}^{-2 x -6}}{4 x}$&$41$\\ derivativedivides&$\frac{3}{16}+\frac{x}{16}+\frac{16}{x}+\frac{{\mathrm e}^{25}}{x}+\frac{{\mathrm e}^{-2 x -6}}{4 x}-\frac{4 \,{\mathrm e}^{-3-x}}{x}+\frac{{\mathrm e}^{-3-x}}{4}$&$47$\\ default&$\frac{3}{16}+\frac{x}{16}+\frac{16}{x}+\frac{{\mathrm e}^{25}}{x}+\frac{{\mathrm e}^{-2 x -6}}{4 x}-\frac{4 \,{\mathrm e}^{-3-x}}{x}+\frac{{\mathrm e}^{-3-x}}{4}$&$47$\\ norman&$\frac{\left(\frac{1}{4}+\left({\mathrm e}^{25}+16\right) {\mathrm e}^{2 x +6}+\frac{x^{2} {\mathrm e}^{2 x +6}}{16}+\frac{{\mathrm e}^{3+x} x}{4}-4 \,{\mathrm e}^{3+x}\right) {\mathrm e}^{-2 x -6}}{x}$&$48$\\ meijerg&$-\frac{{\mathrm e}^{-2 x -12+2 x \,{\mathrm e}^{-6}} \left(\frac{{\mathrm e}^{6} \left(2-4 x \,{\mathrm e}^{-6}\right)}{4 x}-\frac{{\mathrm e}^{6-2 x \,{\mathrm e}^{-6}}}{2 x}+\ln \left(2 x \,{\mathrm e}^{-6}\right)+\expIntegralEi \left(1, 2 x \,{\mathrm e}^{-6}\right)+7-\ln \left(x \right)-\ln \left(2\right)-\frac{{\mathrm e}^{6}}{2 x}\right)}{2}-\frac{{\mathrm e}^{-2 x \,{\mathrm e}^{6}+2 x \,{\mathrm e}^{-6}-6} \left(1-{\mathrm e}^{2 x \,{\mathrm e}^{6} \left(1-{\mathrm e}^{-12}\right)}\right)}{32 \left(1-{\mathrm e}^{-12}\right)}-\frac{{\mathrm e}^{3-2 x +2 x \,{\mathrm e}^{-6}} \left(1-{\mathrm e}^{-x \,{\mathrm e}^{-6} \left(-{\mathrm e}^{6}+2\right)}\right)}{4 \left(-{\mathrm e}^{6}+2\right)}+4 \,{\mathrm e}^{-2 x -3+2 x \,{\mathrm e}^{-6}} \left(-\ln \left(x \,{\mathrm e}^{-6} \left(-{\mathrm e}^{6}+2\right)\right)-\expIntegralEi \left(1, x \,{\mathrm e}^{-6} \left(-{\mathrm e}^{6}+2\right)\right)+\ln \left(x \right)-6+\ln \left(-{\mathrm e}^{6}+2\right)\right)-\frac{{\mathrm e}^{-2 x -6+2 x \,{\mathrm e}^{-6}} \left(-\ln \left(2 x \,{\mathrm e}^{-6}\right)-\expIntegralEi \left(1, 2 x \,{\mathrm e}^{-6}\right)+\ln \left(x \right)+\ln \left(2\right)-6\right)}{2}+2 \,{\mathrm e}^{31-2 x \,{\mathrm e}^{6}+2 x \,{\mathrm e}^{-6}} \left(1-{\mathrm e}^{-12}\right) \left(-\frac{{\mathrm e}^{-6} \left(2+4 x \,{\mathrm e}^{6} \left(1-{\mathrm e}^{-12}\right)\right)}{4 x \left(1-{\mathrm e}^{-12}\right)}+\frac{{\mathrm e}^{-6+2 x \,{\mathrm e}^{6} \left(1-{\mathrm e}^{-12}\right)}}{2 x \left(1-{\mathrm e}^{-12}\right)}+\ln \left(-2 x \,{\mathrm e}^{6} \left(1-{\mathrm e}^{-12}\right)\right)+\expIntegralEi \left(1, -2 x \,{\mathrm e}^{6} \left(1-{\mathrm e}^{-12}\right)\right)-5-\ln \left(x \right)-\ln \left(2\right)-i \pi -\ln \left(1-{\mathrm e}^{-12}\right)+\frac{{\mathrm e}^{-6}}{2 x \left(1-{\mathrm e}^{-12}\right)}\right)+32 \,{\mathrm e}^{-2 x \,{\mathrm e}^{6}+6+2 x \,{\mathrm e}^{-6}} \left(1-{\mathrm e}^{-12}\right) \left(-\frac{{\mathrm e}^{-6} \left(2+4 x \,{\mathrm e}^{6} \left(1-{\mathrm e}^{-12}\right)\right)}{4 x \left(1-{\mathrm e}^{-12}\right)}+\frac{{\mathrm e}^{-6+2 x \,{\mathrm e}^{6} \left(1-{\mathrm e}^{-12}\right)}}{2 x \left(1-{\mathrm e}^{-12}\right)}+\ln \left(-2 x \,{\mathrm e}^{6} \left(1-{\mathrm e}^{-12}\right)\right)+\expIntegralEi \left(1, -2 x \,{\mathrm e}^{6} \left(1-{\mathrm e}^{-12}\right)\right)-5-\ln \left(x \right)-\ln \left(2\right)-i \pi -\ln \left(1-{\mathrm e}^{-12}\right)+\frac{{\mathrm e}^{-6}}{2 x \left(1-{\mathrm e}^{-12}\right)}\right)+4 \,{\mathrm e}^{-2 x -9+2 x \,{\mathrm e}^{-6}} \left(-{\mathrm e}^{6}+2\right) \left(\frac{{\mathrm e}^{6} \left(2-2 x \,{\mathrm e}^{-6} \left(-{\mathrm e}^{6}+2\right)\right)}{2 x \left(-{\mathrm e}^{6}+2\right)}-\frac{{\mathrm e}^{6-x \,{\mathrm e}^{-6} \left(-{\mathrm e}^{6}+2\right)}}{x \left(-{\mathrm e}^{6}+2\right)}+\ln \left(x \,{\mathrm e}^{-6} \left(-{\mathrm e}^{6}+2\right)\right)+\expIntegralEi \left(1, x \,{\mathrm e}^{-6} \left(-{\mathrm e}^{6}+2\right)\right)+7-\ln \left(x \right)-\ln \left(-{\mathrm e}^{6}+2\right)-\frac{{\mathrm e}^{6}}{x \left(-{\mathrm e}^{6}+2\right)}\right)$&$640$\\ \hline \end{longtable}"," ",0,"1/16*x+exp(25)/x+16/x+1/4*(x-16)/x*exp(-3-x)+1/4*exp(-2*x-6)/x","A"
2039,1,30,27,0.159000," ","int((x^8+16*x^7+96*x^6+254*x^5+256*x^4+56*x^3+97*x^2-x+4)/(x^8+16*x^7+96*x^6+254*x^5+236*x^4-64*x^3-63*x^2+4*x+4)/ln(2)/exp(5/(x^4+8*x^3+16*x^2-x-2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{-\frac{5}{x^{4}+8 x^{3}+16 x^{2}-x -2}}}{\ln \left(2\right)}$&$30$\\ gosper&$\frac{x \,{\mathrm e}^{-\frac{5}{x^{4}+8 x^{3}+16 x^{2}-x -2}}}{\ln \left(2\right)}$&$32$\\ norman&$\frac{\left(\frac{x^{5}}{\ln \left(2\right)}-\frac{2 x}{\ln \left(2\right)}-\frac{x^{2}}{\ln \left(2\right)}+\frac{16 x^{3}}{\ln \left(2\right)}+\frac{8 x^{4}}{\ln \left(2\right)}\right) {\mathrm e}^{-\frac{5}{x^{4}+8 x^{3}+16 x^{2}-x -2}}}{x^{4}+8 x^{3}+16 x^{2}-x -2}$&$90$\\ \hline \end{longtable}"," ",0,"x*exp(-5/(x^4+8*x^3+16*x^2-x-2))/ln(2)","A"
2040,1,24,27,0.043000," ","int((-6*x^7+3*x^6-48*x^5-37*x^4-121*x^3-200*x^2+100*x-400)/(3*x^8+24*x^6-25*x^5+48*x^4-200*x^3-400*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{x^{2}+4}-\ln \left(3 x^{3}-25\right)+\ln \left(x \right)$&$24$\\ norman&$-\frac{x}{x^{2}+4}-\ln \left(3 x^{3}-25\right)+\ln \left(x \right)$&$24$\\ risch&$-\frac{x}{x^{2}+4}-\ln \left(3 x^{3}-25\right)+\ln \left(x \right)$&$24$\\ \hline \end{longtable}"," ",0,"-x/(x^2+4)-ln(3*x^3-25)+ln(x)","A"
2041,1,27,32,0.114000," ","int((((-x^2+x+2)*exp(x-exp(4))+x-3)*exp(x)+(-15*x^4+15*x^3+30*x^2)*exp(x-exp(4))+15*x^2-60*x)/(exp(x)*(x-2)+15*x^3-30*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-{\mathrm e}^{x} {\mathrm e}^{-{\mathrm e}^{4}} x -\ln \left(x -2\right)+\ln \left(15 x^{2}+{\mathrm e}^{x}\right)$&$27$\\ risch&$-{\mathrm e}^{x -{\mathrm e}^{4}} x -\ln \left(x -2\right)+\ln \left(15 x^{2}+{\mathrm e}^{x}\right)$&$27$\\ \hline \end{longtable}"," ",0,"-exp(x)/exp(exp(4))*x-ln(x-2)+ln(15*x^2+exp(x))","A"
2042,1,20,22,0.035000," ","int(((-8*x^8+108*x^4)*ln(x)-x^8+27*x^4+4)/(x^9-27*x^5-4*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(\ln \left(x \right)\right)-\ln \left(x^{8}-27 x^{4}-4\right)$&$20$\\ norman&$-\ln \left(\ln \left(x \right)\right)-\ln \left(x^{8}-27 x^{4}-4\right)$&$20$\\ risch&$-\ln \left(\ln \left(x \right)\right)-\ln \left(x^{8}-27 x^{4}-4\right)$&$20$\\ \hline \end{longtable}"," ",0,"-ln(ln(x))-ln(x^8-27*x^4-4)","A"
2043,1,41,22,0.111000," ","int(((-12*x^4+1008*x^3-29160*x^2+314928*x-708588)*ln(3-x)^2+(104*x^4-5256*x^3+77112*x^2-297432*x)*ln(3-x)-224*x^4+4032*x^3-28512*x^2)/(x^8-84*x^7+2430*x^6-26244*x^5+59049*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \ln \left(3-x \right)^{2}}{x^{3}}-\frac{32 \ln \left(3-x \right)}{x^{2} \left(x -27\right)}+\frac{64}{\left(x -27\right)^{2} x}$&$41$\\ \hline \end{longtable}"," ",0,"4/x^3*ln(3-x)^2-32/x^2/(x-27)*ln(3-x)+64/(x-27)^2/x","A"
2044,1,21,22,0.096000," ","int(((-2*exp(5+ln(x))+2*exp(x)*x-2*x)*exp(-exp(5+ln(x))+exp(x)-x)^2+4*x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-2 x \,{\mathrm e}^{5}+2 \,{\mathrm e}^{x}-2 x}+2 x^{2}$&$21$\\ risch&${\mathrm e}^{-2 x \,{\mathrm e}^{5}+2 \,{\mathrm e}^{x}-2 x}+2 x^{2}$&$21$\\ \hline \end{longtable}"," ",0,"exp(-x*exp(5)+exp(x)-x)^2+2*x^2","A"
2045,1,19,17,0.413000," ","int((20*ln(2*x)+9*x^4-90*x^3+225*x^2-4*x+20)/(3*x^2-30*x+75),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x^{3}-\frac{8 \ln \left(2 x \right) x}{3 \left(2 x -10\right)}$&$19$\\ default&$x^{3}-\frac{8 \ln \left(2 x \right) x}{3 \left(2 x -10\right)}$&$19$\\ risch&$-\frac{20 \ln \left(2 x \right)}{3 \left(x -5\right)}+x^{3}-\frac{4 \ln \left(x \right)}{3}$&$20$\\ norman&$\frac{x^{4}-5 x^{3}-\frac{4 x \ln \left(2 x \right)}{3}}{x -5}$&$23$\\ \hline \end{longtable}"," ",0,"x^3-8/3*ln(2*x)*x/(2*x-10)","A"
2046,1,17,17,0.143000," ","int((ln(ln(-exp(4)^2+2))+(x+1)*exp(x)+1)/(x*ln(ln(-exp(4)^2+2))+exp(x)*x+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left(\ln \left(\ln \left(-{\mathrm e}^{8}+2\right)\right)+{\mathrm e}^{x}+1\right)$&$17$\\ norman&$\ln \left(x \right)+\ln \left(\ln \left(\ln \left(-{\mathrm e}^{8}+2\right)\right)+{\mathrm e}^{x}+1\right)$&$19$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(ln(ln(-exp(8)+2))+exp(x)+1)","A"
2047,1,17,18,0.037000," ","int(((((-4*x+36)*ln(9-x)^2+4*x-36)*ln(x)+(-4*x+36)*ln(9-x)^2+4*x-36)*ln(ln(9-x)^2-1)-8*x*ln(9-x)*ln(x))/((x-9)*ln(9-x)^2+9-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x \ln \left(\ln \left(9-x \right)^{2}-1\right) \ln \left(x \right)$&$17$\\ \hline \end{longtable}"," ",0,"-4*x*ln(ln(9-x)^2-1)*ln(x)","A"
2048,1,34,24,0.412000," ","int((((-16*x^2+16*x-16)*exp(2)-16*x^3+32*x^2-32*x)*ln(x)^2+(-48*x^2+48*x-48)*ln(x)-48*x+48)/(15*x^2-30*x+15)/exp(x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x \left(x +{\mathrm e}^{2}\right) {\mathrm e}^{-x}}{15 \left(x -1\right)}+\frac{16 x \,{\mathrm e}^{-x}}{5 \left(x -1\right) \ln \left(x \right)}$&$34$\\ \hline \end{longtable}"," ",0,"16/15*x*(x+exp(2))/(x-1)*exp(-x)+16/5*x*exp(-x)/(x-1)/ln(x)","A"
2049,1,19,23,0.030000," ","int(1/8*x*ln(2*ln(3))^2-12*x^3*ln(2*ln(3))+216*x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(\ln \left(2 \ln \left(3\right)\right)-24 x^{2}\right)^{2} x^{2}}{16}$&$19$\\ default&$\frac{\ln \left(2 \ln \left(3\right)\right)^{2} x^{2}}{16}-3 \ln \left(2 \ln \left(3\right)\right) x^{4}+36 x^{6}$&$29$\\ norman&$\left(-3 \ln \left(2\right)-3 \ln \left(\ln \left(3\right)\right)\right) x^{4}+\left(\frac{\ln \left(2\right)^{2}}{16}+\frac{\ln \left(2\right) \ln \left(\ln \left(3\right)\right)}{8}+\frac{\ln \left(\ln \left(3\right)\right)^{2}}{16}\right) x^{2}+36 x^{6}$&$46$\\ risch&$\frac{x^{2} \ln \left(2\right)^{2}}{16}+\frac{\ln \left(2\right) \ln \left(\ln \left(3\right)\right) x^{2}}{8}+\frac{\ln \left(\ln \left(3\right)\right)^{2} x^{2}}{16}-3 x^{4} \ln \left(2\right)-3 \ln \left(\ln \left(3\right)\right) x^{4}+36 x^{6}$&$51$\\ \hline \end{longtable}"," ",0,"1/16*(ln(2*ln(3))-24*x^2)^2*x^2","A"
2050,1,23,18,0.054000," ","int((exp(1)+2)*exp(2)/(6*exp(x*exp(1)+2*x)-exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}-2 x +\ln \left(-\frac{{\mathrm e}^{2}}{6}+{\mathrm e}^{x \left({\mathrm e}+2\right)}\right)$&$23$\\ norman&$\left(-{\mathrm e}-2\right) x +\ln \left(-6 \,{\mathrm e}^{x \,{\mathrm e}+2 x}+{\mathrm e}^{2}\right)$&$25$\\ derivativedivides&${\mathrm e}^{2} \left({\mathrm e}^{-2} \ln \left(6 \,{\mathrm e}^{x \,{\mathrm e}+2 x}-{\mathrm e}^{2}\right)-{\mathrm e}^{-2} \ln \left({\mathrm e}^{x \,{\mathrm e}+2 x}\right)\right)$&$43$\\ default&${\mathrm e}^{2} \left({\mathrm e}^{-2} \ln \left(6 \,{\mathrm e}^{x \,{\mathrm e}+2 x}-{\mathrm e}^{2}\right)-{\mathrm e}^{-2} \ln \left({\mathrm e}^{x \,{\mathrm e}+2 x}\right)\right)$&$43$\\ \hline \end{longtable}"," ",0,"-x*exp(1)-2*x+ln(-1/6*exp(2)+exp(x*(exp(1)+2)))","A"
2051,1,36,31,0.049000," ","int((((9*x^2-5*x)*exp(x)^2+(-54*x^2+48*x-5)*exp(x)-90*x+25)*exp(-exp(x)+3)+(-81*x^4+90*x^3-25*x^2)*exp(x)*ln(x)+(-81*x^3+90*x^2-25*x)*exp(x)+81*x^4+315*x^3-425*x^2+125*x)/(81*x^4-90*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x} \ln \left(x \right)+x +5 \ln \left(x \right)-\frac{\left({\mathrm e}^{x}-5\right) {\mathrm e}^{-{\mathrm e}^{x}+3}}{x \left(9 x -5\right)}$&$36$\\ \hline \end{longtable}"," ",0,"-exp(x)*ln(x)+x+5*ln(x)-(exp(x)-5)/x/(9*x-5)*exp(-exp(x)+3)","A"
2052,1,33,30,0.063000," ","int(((512*x^5+1536*x^4+1536*x^3+512*x^2)*ln(x)*ln(x*exp(5)+2*x)+(-512*x^5-1536*x^4-2304*x^3-1664*x^2-384*x)*ln(x)^2+(-384*x^3-768*x^2-384*x)*ln(x))/((64*x^6+192*x^5+192*x^4+64*x^3)*ln(x*exp(5)+2*x)^3+(-144*x^4-288*x^3-144*x^2)*ln(x*exp(5)+2*x)^2+(108*x^2+108*x)*ln(x*exp(5)+2*x)-27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{96 x^{2} \ln \left(x \right)+96 x \ln \left(x \right)-36}{\left(4 x^{2} \ln \left(x \right)+4 x \ln \left(x \right)-3\right)^{2}}$&$33$\\ \hline \end{longtable}"," ",0,"12*(8*x^2*ln(x)+8*x*ln(x)-3)/(4*x^2*ln(x)+4*x*ln(x)-3)^2","A"
2053,1,30,27,0.364000," ","int(((-x^2+1)*ln(x)^2+(-x^4+5*x^3-x^2+1)*ln(x)+x^3-x)/(x^4-x^2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2-x^{2}+\ln \left(x \right)}{x}+2 \ln \left(x -1\right)+3 \ln \left(x +1\right)+\ln \left(\ln \left(x \right)\right)$&$30$\\ default&$\ln \left(\ln \left(x \right)\right)+\frac{\ln \left(x \right)}{x}+\frac{2}{x}-x +3 \ln \left(x +1\right)+2 \ln \left(x -1\right)$&$31$\\ risch&$\frac{\ln \left(x \right)}{x}+\frac{3 \ln \left(x +1\right) x +2 \ln \left(x -1\right) x -x^{2}+2}{x}+\ln \left(\ln \left(x \right)\right)$&$36$\\ \hline \end{longtable}"," ",0,"(2-x^2+ln(x))/x+2*ln(x-1)+3*ln(x+1)+ln(ln(x))","A"
2054,1,20,26,0.078000," ","int((((3+x)*exp(2)*ln(5)*exp(x)+exp(2)*ln(5))*exp(exp(x))*exp(1/3*(-3-x)*exp(exp(x)))-3*exp(2)*ln(5))/(3*exp(1/3*(-3-x)*exp(exp(x)))^2+(6*x+30)*exp(1/3*(-3-x)*exp(exp(x)))+3*x^2+30*x+75),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2} \ln \left(5\right)}{5+{\mathrm e}^{-\frac{\left(3+x \right) {\mathrm e}^{{\mathrm e}^{x}}}{3}}+x}$&$20$\\ \hline \end{longtable}"," ",0,"exp(2)*ln(5)/(5+exp(-1/3*(3+x)*exp(exp(x)))+x)","A"
2055,1,34,21,0.287000," ","int((10*ln(ln(6))^2+4*x^2*exp(4)*ln(ln(6)))*exp(2*x*ln(ln(6))/((5+2*x)*ln(ln(6))+(-2*x^2-8*x)*exp(4)))/((4*x^2+20*x+25)*ln(ln(6))^2+(-8*x^3-52*x^2-80*x)*exp(4)*ln(ln(6))+(4*x^4+32*x^3+64*x^2)*exp(4)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{2 \ln \left(\ln \left(6\right)\right) x}{2 x^{2} {\mathrm e}^{4}+8 x \,{\mathrm e}^{4}-2 \ln \left(\ln \left(6\right)\right) x -5 \ln \left(\ln \left(6\right)\right)}}$&$34$\\ risch&$\left(\ln \left(2\right)+\ln \left(3\right)\right)^{\frac{2 x}{-2 x^{2} {\mathrm e}^{4}+2 \ln \left(\ln \left(2\right)+\ln \left(3\right)\right) x -8 x \,{\mathrm e}^{4}+5 \ln \left(\ln \left(2\right)+\ln \left(3\right)\right)}}$&$42$\\ norman&$\frac{\left(8 \,{\mathrm e}^{4}-2 \ln \left(\ln \left(6\right)\right)\right) x \,{\mathrm e}^{\frac{2 x \ln \left(\ln \left(6\right)\right)}{\left(5+2 x \right) \ln \left(\ln \left(6\right)\right)+\left(-2 x^{2}-8 x \right) {\mathrm e}^{4}}}-5 \ln \left(\ln \left(6\right)\right) {\mathrm e}^{\frac{2 x \ln \left(\ln \left(6\right)\right)}{\left(5+2 x \right) \ln \left(\ln \left(6\right)\right)+\left(-2 x^{2}-8 x \right) {\mathrm e}^{4}}}+2 x^{2} {\mathrm e}^{4} {\mathrm e}^{\frac{2 x \ln \left(\ln \left(6\right)\right)}{\left(5+2 x \right) \ln \left(\ln \left(6\right)\right)+\left(-2 x^{2}-8 x \right) {\mathrm e}^{4}}}}{2 x^{2} {\mathrm e}^{4}+8 x \,{\mathrm e}^{4}-2 \ln \left(\ln \left(6\right)\right) x -5 \ln \left(\ln \left(6\right)\right)}$&$146$\\ \hline \end{longtable}"," ",0,"exp(-2*ln(ln(6))*x/(2*x^2*exp(4)+8*x*exp(4)-2*ln(ln(6))*x-5*ln(ln(6))))","A"
2056,1,9,21,0.014000," ","int((-3*x+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x +2 \ln \left(x \right)$&$9$\\ norman&$-3 x +2 \ln \left(x \right)$&$9$\\ risch&$-3 x +2 \ln \left(x \right)$&$9$\\ \hline \end{longtable}"," ",0,"-3*x+2*ln(x)","A"
2057,1,12,13,0.350000," ","int(((x^2+5*x+4)*ln(-1/8*x-1/2)+x)/(x^2+4*x)/ln(-1/8*x-1/2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\ln \left(x \right)+\ln \left(\ln \left(-\frac{x}{8}-\frac{1}{2}\right)\right)$&$12$\\ risch&$x +\ln \left(x \right)+\ln \left(\ln \left(-\frac{x}{8}-\frac{1}{2}\right)\right)$&$12$\\ derivativedivides&$\ln \left(\ln \left(-\frac{x}{8}-\frac{1}{2}\right)\right)+x +4+\ln \left(-\frac{x}{4}\right)$&$15$\\ default&$\ln \left(\ln \left(-\frac{x}{8}-\frac{1}{2}\right)\right)+x +4+\ln \left(-\frac{x}{4}\right)$&$15$\\ \hline \end{longtable}"," ",0,"x+ln(x)+ln(ln(-1/8*x-1/2))","A"
2058,1,74,29,0.125000," ","int(((5120*x^15+96000*x^13+760320*x^11+3310080*x^9+8542720*x^7+12960000*x^5+10414080*x^3+3110400*x)*exp(4)-20480*x^13-368640*x^11-2744320*x^9-10936320*x^7-24883200*x^5-30965760*x^3-16588800*x)/(64*x^18+1296*x^16+11532*x^14+58563*x^12+184710*x^10+369117*x^8+457552*x^6+331533*x^4+126846*x^2+19683),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-640 \,{\mathrm e}^{4} x^{10}+\left(1280-8160 \,{\mathrm e}^{4}\right) x^{8}+\left(15360-40960 \,{\mathrm e}^{4}\right) x^{6}+\left(69120-98880 \,{\mathrm e}^{4}\right) x^{4}+\left(138240-109440 \,{\mathrm e}^{4}\right) x^{2}+103680-38880 \,{\mathrm e}^{4}}{\left(4 x^{6}+27 x^{4}+58 x^{2}+27\right)^{2}}$&$74$\\ default&$\frac{-640 \,{\mathrm e}^{4} x^{10}+10240 \left(-\frac{51 \,{\mathrm e}^{4}}{64}+\frac{1}{8}\right) x^{8}+10240 \left(-4 \,{\mathrm e}^{4}+\frac{3}{2}\right) x^{6}+10240 \left(-\frac{309 \,{\mathrm e}^{4}}{32}+\frac{27}{4}\right) x^{4}+10240 \left(-\frac{171 \,{\mathrm e}^{4}}{16}+\frac{27}{2}\right) x^{2}-38880 \,{\mathrm e}^{4}+103680}{\left(4 x^{6}+27 x^{4}+58 x^{2}+27\right)^{2}}$&$75$\\ risch&$\frac{6480-40 \,{\mathrm e}^{4} x^{10}+\left(80-510 \,{\mathrm e}^{4}\right) x^{8}+\left(-2560 \,{\mathrm e}^{4}+960\right) x^{6}+\left(-6180 \,{\mathrm e}^{4}+4320\right) x^{4}+\left(8640-6840 \,{\mathrm e}^{4}\right) x^{2}-2430 \,{\mathrm e}^{4}}{x^{12}+\frac{27}{2} x^{10}+\frac{1193}{16} x^{8}+\frac{837}{4} x^{6}+\frac{2411}{8} x^{4}+\frac{783}{4} x^{2}+\frac{729}{16}}$&$87$\\ gosper&$-\frac{160 \left(4 x^{8} {\mathrm e}^{4}+39 x^{6} {\mathrm e}^{4}-8 x^{6}+139 x^{4} {\mathrm e}^{4}-72 x^{4}+201 x^{2} {\mathrm e}^{4}-216 x^{2}+81 \,{\mathrm e}^{4}-216\right) \left(x^{2}+3\right)}{16 x^{12}+216 x^{10}+1193 x^{8}+3348 x^{6}+4822 x^{4}+3132 x^{2}+729}$&$91$\\ \hline \end{longtable}"," ",0,"(-640*exp(4)*x^10+(1280-8160*exp(4))*x^8+(15360-40960*exp(4))*x^6+(69120-98880*exp(4))*x^4+(138240-109440*exp(4))*x^2+103680-38880*exp(4))/(4*x^6+27*x^4+58*x^2+27)^2","B"
2059,1,55,22,0.063000," ","int(((-2*x*exp(5)*exp(x)-x*exp(5))*ln(x)+(-2*x^2+2*x+2)*exp(5)*exp(x)+(x+1)*exp(5)*ln(2)+(-8*x-9)*exp(5)+4*x+4)/(20*x*exp(5)^2*exp(x)^2+(20*x*exp(5)^2*ln(2)+(20*x^2-180*x)*exp(5)^2+80*x*exp(5))*exp(x)+5*x*exp(5)^2*ln(2)^2+((10*x^2-90*x)*exp(5)^2+40*x*exp(5))*ln(2)+(5*x^3-90*x^2+405*x)*exp(5)^2+(40*x^2-360*x)*exp(5)+80*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{10 \,{\mathrm e}^{5+x}+5 \,{\mathrm e}^{5} \ln \left(2\right)+5 x \,{\mathrm e}^{5}-45 \,{\mathrm e}^{5}+20}+\frac{x}{10 \,{\mathrm e}^{5+x}+5 \,{\mathrm e}^{5} \ln \left(2\right)+5 x \,{\mathrm e}^{5}-45 \,{\mathrm e}^{5}+20}$&$55$\\ \hline \end{longtable}"," ",0,"1/5/(2*exp(5+x)+exp(5)*ln(2)+x*exp(5)-9*exp(5)+4)*ln(x)+1/5*x/(2*exp(5+x)+exp(5)*ln(2)+x*exp(5)-9*exp(5)+4)","B"
2060,1,23,16,0.097000," ","int(1/5*(x^2+10*x)*exp(1/5*x)*ln(2*x^2)+1/5*(14*x+20)*exp(1/5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2} {\mathrm e}^{\frac{x}{5}} \ln \left(2 x^{2}\right)+4 x \,{\mathrm e}^{\frac{x}{5}}$&$23$\\ default&$4 x \,{\mathrm e}^{\frac{x}{5}}+\left(\ln \left(2 x^{2}\right)-2 \ln \left(x \right)\right) x^{2} {\mathrm e}^{\frac{x}{5}}+2 \ln \left(x \right) x^{2} {\mathrm e}^{\frac{x}{5}}$&$39$\\ risch&$2 \ln \left(x \right) x^{2} {\mathrm e}^{\frac{x}{5}}+\frac{\left(100-20 x -i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}+2 x^{2} \ln \left(2\right)\right) {\mathrm e}^{\frac{x}{5}}}{2}+\frac{\left(-250+70 x \right) {\mathrm e}^{\frac{x}{5}}}{5}$&$100$\\ \hline \end{longtable}"," ",0,"x^2*exp(1/5*x)*ln(2*x^2)+4*x*exp(1/5*x)","A"
2061,1,6,9,0.014000," ","int(4/3/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x \,{\mathrm e}^{-5}}{3}$&$6$\\ default&$\frac{4 x \,{\mathrm e}^{-5}}{3}$&$8$\\ norman&$\frac{4 x \,{\mathrm e}^{-5}}{3}$&$8$\\ \hline \end{longtable}"," ",0,"4/3*x*exp(-5)","A"
2062,1,22,21,0.359000," ","int(((exp(1)+5)*exp(x-1)^2+(2*exp(1)+40*x^3-120*x^2+10)*exp(x-1)+exp(1)-120*x^2+5)/(exp(x-1)^2+2*exp(x-1)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}-\frac{40 x^{3}}{{\mathrm e}^{x -1}+1}+5 x$&$22$\\ norman&$\frac{\left({\mathrm e}+5\right) x +\left({\mathrm e}+5\right) x \,{\mathrm e}^{x -1}-40 x^{3}}{{\mathrm e}^{x -1}+1}$&$32$\\ \hline \end{longtable}"," ",0,"x*exp(1)-40*x^3/(exp(x-1)+1)+5*x","A"
2063,1,34,25,0.365000," ","int(((2*x^8-8*x^4+6)*ln(5)*ln(-x^4+3)+(4*x^8+8*x^6+4*x^4)*ln(5)+2*x^7-6*x^3)/(x^7-3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(5\right) \left(x^{4}+1\right) \ln \left(-x^{4}+3\right)}{x^{2}}+2 x +2 \ln \left(5\right) \ln \left(x^{4}-3\right)$&$34$\\ default&$2 x +\ln \left(5\right) x^{2} \ln \left(-x^{4}+3\right)+\frac{\ln \left(5\right) \ln \left(-x^{4}+3\right)}{x^{2}}+2 \ln \left(5\right) \ln \left(x^{4}-3\right)$&$43$\\ norman&$\frac{\ln \left(5\right) \ln \left(-x^{4}+3\right)+2 \ln \left(5\right) x^{2} \ln \left(-x^{4}+3\right)+\ln \left(5\right) \ln \left(-x^{4}+3\right) x^{4}+2 x^{3}}{x^{2}}$&$51$\\ \hline \end{longtable}"," ",0,"ln(5)*(x^4+1)/x^2*ln(-x^4+3)+2*x+2*ln(5)*ln(x^4-3)","A"
2064,1,28,26,0.056000," ","int(((96*x^6-1536*x^5+8640*x^4-19968*x^3+16224*x^2)*ln(x)^2+(384*x^4-3072*x^3+5004*x^2-48*x)*ln(x)+390*x^2-48*x+78)/((x^5-16*x^4+90*x^3-208*x^2+169*x)*ln(x)^2+(4*x^3-32*x^2+52*x)*ln(x)+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$48 x^{2}-\frac{6}{x^{2} \ln \left(x \right)-8 x \ln \left(x \right)+13 \ln \left(x \right)+2}$&$28$\\ norman&$\frac{39 \ln \left(x \right)-24 x \ln \left(x \right)+627 x^{2} \ln \left(x \right)+96 x^{2}-384 x^{3} \ln \left(x \right)+48 x^{4} \ln \left(x \right)}{x^{2} \ln \left(x \right)-8 x \ln \left(x \right)+13 \ln \left(x \right)+2}$&$57$\\ \hline \end{longtable}"," ",0,"48*x^2-6/(x^2*ln(x)-8*x*ln(x)+13*ln(x)+2)","A"
2065,1,32,20,0.159000," ","int(((-2*x^3+7*x^2+170*x+425)*exp((x+17)/x)*exp(exp(12))+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\left(-{\mathrm e}^{{\mathrm e}^{12}} x^{2}-10 \,{\mathrm e}^{{\mathrm e}^{12}} x -25 \,{\mathrm e}^{{\mathrm e}^{12}}\right) {\mathrm e}^{\frac{x +17}{x}}$&$32$\\ derivativedivides&$x -{\mathrm e}^{{\mathrm e}^{12}} \left({\mathrm e}^{1+\frac{17}{x}} x^{2}+10 \,{\mathrm e}^{1+\frac{17}{x}} x +25 \,{\mathrm e}^{1+\frac{17}{x}}\right)$&$42$\\ default&$x -{\mathrm e}^{{\mathrm e}^{12}} \left({\mathrm e}^{1+\frac{17}{x}} x^{2}+10 \,{\mathrm e}^{1+\frac{17}{x}} x +25 \,{\mathrm e}^{1+\frac{17}{x}}\right)$&$42$\\ norman&$\frac{x^{2}-25 \,{\mathrm e}^{\frac{x +17}{x}} {\mathrm e}^{{\mathrm e}^{12}} x -10 \,{\mathrm e}^{\frac{x +17}{x}} {\mathrm e}^{{\mathrm e}^{12}} x^{2}-{\mathrm e}^{\frac{x +17}{x}} {\mathrm e}^{{\mathrm e}^{12}} x^{3}}{x}$&$55$\\ \hline \end{longtable}"," ",0,"x+(-exp(exp(12))*x^2-10*exp(exp(12))*x-25*exp(exp(12)))*exp((x+17)/x)","A"
2066,1,22,22,0.039000," ","int(((x^3-4*x^2+3*x-15)*ln(x)-5*x^3+18*x^2-5*x+75)/((x^3-5*x^2)*ln(x)-5*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}-3}{x}-2 \ln \left(\ln \left(x \right)-5\right)+\ln \left(x -5\right)$&$22$\\ risch&$\frac{\ln \left(x -5\right) x +x^{2}-3}{x}-2 \ln \left(\ln \left(x \right)-5\right)$&$24$\\ \hline \end{longtable}"," ",0,"(x^2-3)/x-2*ln(ln(x)-5)+ln(x-5)","A"
2067,1,25,24,0.109000," ","int((-25*x^2+150*x-275)*exp(5/exp((x^2-3*x-2)/(x-3)))/((x^2-6*x+9)*exp((x^2-3*x-2)/(x-3))*exp(5/exp((x^2-3*x-2)/(x-3)))+(7*x^2-42*x+63)*exp((x^2-3*x-2)/(x-3))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \ln \left({\mathrm e}^{5 \,{\mathrm e}^{-\frac{x^{2}-3 x -2}{x -3}}}+7\right)$&$25$\\ norman&$5 \ln \left({\mathrm e}^{5 \,{\mathrm e}^{-\frac{x^{2}-3 x -2}{x -3}}}+7\right)$&$26$\\ \hline \end{longtable}"," ",0,"5*ln(exp(5*exp(-(x^2-3*x-2)/(x-3)))+7)","A"
2068,1,205,26,0.220000," ","int(((((-x-2)*exp(x)-3*x)*ln(x)+(2*x^3+4*x^2)*exp(x)+6*x^3)*ln(x/(5*ln(x)-10*x^2))+(exp(x)+x)*ln(x)+(2*x^2-1)*exp(x)+2*x^3-x)/((3*exp(x)^2*x^3+6*exp(x)*x^4+3*x^5)*ln(x)-6*x^5*exp(x)^2-12*x^6*exp(x)-6*x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x^{2}-\frac{\ln \left(x \right)}{2}\right)}{3 x^{2} \left({\mathrm e}^{x}+x \right)}-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{-x^{2}+\frac{\ln \left(x \right)}{2}}\right) \mathrm{csgn}\left(\frac{i x}{-x^{2}+\frac{\ln \left(x \right)}{2}}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{-x^{2}+\frac{\ln \left(x \right)}{2}}\right)^{2}+2 i \pi  \mathrm{csgn}\left(\frac{i x}{-x^{2}+\frac{\ln \left(x \right)}{2}}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{-x^{2}+\frac{\ln \left(x \right)}{2}}\right) \mathrm{csgn}\left(\frac{i x}{-x^{2}+\frac{\ln \left(x \right)}{2}}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i x}{-x^{2}+\frac{\ln \left(x \right)}{2}}\right)^{3}-2 i \pi +2 \ln \left(5\right)+2 \ln \left(2\right)-2 \ln \left(x \right)}{6 x^{2} \left({\mathrm e}^{x}+x \right)}$&$205$\\ \hline \end{longtable}"," ",0,"-1/3/x^2/(exp(x)+x)*ln(x^2-1/2*ln(x))-1/6*(I*Pi*csgn(I*x)*csgn(I/(-x^2+1/2*ln(x)))*csgn(I*x/(-x^2+1/2*ln(x)))-I*Pi*csgn(I*x)*csgn(I*x/(-x^2+1/2*ln(x)))^2+2*I*Pi*csgn(I*x/(-x^2+1/2*ln(x)))^2+I*Pi*csgn(I/(-x^2+1/2*ln(x)))*csgn(I*x/(-x^2+1/2*ln(x)))^2+I*Pi*csgn(I*x/(-x^2+1/2*ln(x)))^3-2*I*Pi+2*ln(5)+2*ln(2)-2*ln(x))/x^2/(exp(x)+x)","C"
2069,1,52,26,0.130000," ","int(1/2*(((-4*x*ln(x)+8*x^2-4*x)*exp(x*ln(x)-x^2)+4)*exp(exp(x*ln(x)-x^2))^2+(((-4*x^2*exp(1)-4*x^3)*ln(x)+(8*x^3-4*x^2)*exp(1)+8*x^4-4*x^3)*exp(x*ln(x)-x^2)+4*x*exp(1))*exp(exp(x*ln(x)-x^2))-4*x^3*exp(1)-4*x^4+x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x \,{\mathrm e}-x^{2}+\frac{x}{2}-\frac{{\mathrm e}^{2 x^{x} {\mathrm e}^{-x^{2}}}}{x^{2}}-\frac{2 \left(x +{\mathrm e}\right) {\mathrm e}^{x^{x} {\mathrm e}^{-x^{2}}}}{x}$&$52$\\ \hline \end{longtable}"," ",0,"-2*x*exp(1)-x^2+1/2*x-1/x^2*exp(2*x^x*exp(-x^2))-2/x*(x+exp(1))*exp(x^x*exp(-x^2))","A"
2070,0,0,28,0.059000," ","int(((-16*ln(x/exp(x))*ln(1/9*x*ln(x/exp(x))^2)*ln(ln(1/9*x*ln(x/exp(x))^2))+16*ln(x/exp(x))-32*x+32)*exp(2*ln(ln(1/9*x*ln(x/exp(x))^2))/x)^2+(-16*ln(x/exp(x))*ln(1/9*x*ln(x/exp(x))^2)*ln(ln(1/9*x*ln(x/exp(x))^2))+16*ln(x/exp(x))-32*x+32)*exp(2*ln(ln(1/9*x*ln(x/exp(x))^2))/x))/x^2/ln(x/exp(x))/ln(1/9*x*ln(x/exp(x))^2),x)","\[\int \frac{\left(-16 \ln \left(x \,{\mathrm e}^{-x}\right) \ln \left(\frac{x \ln \left(x \,{\mathrm e}^{-x}\right)^{2}}{9}\right) \ln \left(\ln \left(\frac{x \ln \left(x \,{\mathrm e}^{-x}\right)^{2}}{9}\right)\right)+16 \ln \left(x \,{\mathrm e}^{-x}\right)-32 x +32\right) {\mathrm e}^{\frac{4 \ln \left(\ln \left(\frac{x \ln \left(x \,{\mathrm e}^{-x}\right)^{2}}{9}\right)\right)}{x}}+\left(-16 \ln \left(x \,{\mathrm e}^{-x}\right) \ln \left(\frac{x \ln \left(x \,{\mathrm e}^{-x}\right)^{2}}{9}\right) \ln \left(\ln \left(\frac{x \ln \left(x \,{\mathrm e}^{-x}\right)^{2}}{9}\right)\right)+16 \ln \left(x \,{\mathrm e}^{-x}\right)-32 x +32\right) {\mathrm e}^{\frac{2 \ln \left(\ln \left(\frac{x \ln \left(x \,{\mathrm e}^{-x}\right)^{2}}{9}\right)\right)}{x}}}{x^{2} \ln \left(x \,{\mathrm e}^{-x}\right) \ln \left(\frac{x \ln \left(x \,{\mathrm e}^{-x}\right)^{2}}{9}\right)}\, dx\]"," ",0,"int(((-16*ln(x/exp(x))*ln(1/9*x*ln(x/exp(x))^2)*ln(ln(1/9*x*ln(x/exp(x))^2))+16*ln(x/exp(x))-32*x+32)*exp(2*ln(ln(1/9*x*ln(x/exp(x))^2))/x)^2+(-16*ln(x/exp(x))*ln(1/9*x*ln(x/exp(x))^2)*ln(ln(1/9*x*ln(x/exp(x))^2))+16*ln(x/exp(x))-32*x+32)*exp(2*ln(ln(1/9*x*ln(x/exp(x))^2))/x))/x^2/ln(x/exp(x))/ln(1/9*x*ln(x/exp(x))^2),x)","F"
2071,1,33,27,0.046000," ","int(((-5*x^3-5*x^2+30*x+30)*exp(x)*ln(2*x+2)+(-5*x^2+15*x)*exp(x)-30*x^2+40*x+70)/((x^6-5*x^5+3*x^4+9*x^3)*exp(x)^2*ln(2*x+2)^2+(4*x^6-22*x^5+16*x^4+42*x^3)*exp(x)*ln(2*x+2)+4*x^6-24*x^5+21*x^4+49*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{x^{2} \left(x \,{\mathrm e}^{x} \ln \left(2 x +2\right)-3 \ln \left(2 x +2\right) {\mathrm e}^{x}+2 x -7\right)}$&$33$\\ \hline \end{longtable}"," ",0,"5/x^2/(x*exp(x)*ln(2*x+2)-3*ln(2*x+2)*exp(x)+2*x-7)","A"
2072,1,25,26,0.031000," ","int((17*x*exp(exp(1)^2)^2+51*x)/(x^3-6*x^2+12*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{17 \left({\mathrm e}^{2 \,{\mathrm e}^{2}}+3\right) \left(x -1\right)}{x^{2}-4 x +4}$&$25$\\ default&$17 \left({\mathrm e}^{2 \,{\mathrm e}^{2}}+3\right) \left(-\frac{1}{\left(x -2\right)^{2}}-\frac{1}{x -2}\right)$&$27$\\ norman&$\frac{\left(-17 \,{\mathrm e}^{2 \,{\mathrm e}^{2}}-51\right) x +17 \,{\mathrm e}^{2 \,{\mathrm e}^{2}}+51}{\left(x -2\right)^{2}}$&$31$\\ risch&$\frac{\left(-17 \,{\mathrm e}^{2 \,{\mathrm e}^{2}}-51\right) x +17 \,{\mathrm e}^{2 \,{\mathrm e}^{2}}+51}{x^{2}-4 x +4}$&$32$\\ \hline \end{longtable}"," ",0,"-17*(exp(exp(1)^2)^2+3)*(x-1)/(x^2-4*x+4)","A"
2073,1,254,20,0.081000," ","int(1/320*((x^3-3*x^2)*ln(x^2)^2+(-204*x^2+400*x)*ln(x^2)+10400*x-10000)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{3} {\mathrm e}^{-x} \ln \left(x \right)^{2}}{80}+\frac{i x^{2} \left(x \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+x \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-200 i\right) {\mathrm e}^{-x} \ln \left(x \right)}{160}+\frac{\left(-40000 x -400 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+800 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-400 i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi^{2} x^{3} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-4 \pi^{2} x^{3} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}+6 \pi^{2} x^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}-4 \pi^{2} x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}+\pi^{2} x^{3} \mathrm{csgn}\left(i x^{2}\right)^{6}\right) {\mathrm e}^{-x}}{1280}$&$254$\\ \hline \end{longtable}"," ",0,"-1/80*x^3*exp(-x)*ln(x)^2+1/160*I*x^2*(x*Pi*csgn(I*x)^2*csgn(I*x^2)-2*x*Pi*csgn(I*x)*csgn(I*x^2)^2+x*Pi*csgn(I*x^2)^3-200*I)*exp(-x)*ln(x)+1/1280*(-40000*x-400*I*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+800*I*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-400*I*Pi*x^2*csgn(I*x^2)^3+Pi^2*x^3*csgn(I*x)^4*csgn(I*x^2)^2-4*Pi^2*x^3*csgn(I*x)^3*csgn(I*x^2)^3+6*Pi^2*x^3*csgn(I*x)^2*csgn(I*x^2)^4-4*Pi^2*x^3*csgn(I*x)*csgn(I*x^2)^5+Pi^2*x^3*csgn(I*x^2)^6)*exp(-x)","C"
2074,1,19,18,0.024000," ","int((((-10*x-40)*ln(-x-4)-20*x-80)*ln(ln(-x-4)+2)+(-50*x-200)*ln(-x-4)-105*x-400)/(((x^4+4*x^3)*ln(-x-4)+2*x^4+8*x^3)*ln(ln(-x-4)+2)^2+((10*x^4+40*x^3)*ln(-x-4)+20*x^4+80*x^3)*ln(ln(-x-4)+2)+(25*x^4+100*x^3)*ln(-x-4)+50*x^4+200*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{\left(5+\ln \left(\ln \left(-x -4\right)+2\right)\right) x^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"5/(5+ln(ln(-x-4)+2))/x^2","A"
2075,1,67,21,0.086000," ","int(2*exp(x)*exp(exp(x))^2+(-2*exp(x)^2*x^2+(16*x^3*ln(2)-2*x^2-4*x-6)*exp(x)+48*x^2*ln(2))*exp(exp(x))+(2*x^4+4*x^3)*exp(x)^2+(2*(-8*x^5-40*x^4)*ln(2)+6*x^2+12*x)*exp(x)+384*x^5*ln(2)^2-144*x^2*ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 \,{\mathrm e}^{x}}+\left(16 x^{3} \ln \left(2\right)-2 \,{\mathrm e}^{x} x^{2}-6\right) {\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{2 x} x^{4}+\left(-16 x^{5} \ln \left(2\right)+6 x^{2}\right) {\mathrm e}^{x}+64 x^{6} \ln \left(2\right)^{2}-48 x^{3} \ln \left(2\right)$&$67$\\ default&$6 \,{\mathrm e}^{x} x^{2}-16 \,{\mathrm e}^{x} \ln \left(2\right) x^{5}+16 x^{3} \ln \left(2\right) {\mathrm e}^{{\mathrm e}^{x}}-2 x^{2} {\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{x}}-6 \,{\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{2 x} x^{4}-48 x^{3} \ln \left(2\right)+64 x^{6} \ln \left(2\right)^{2}+{\mathrm e}^{2 \,{\mathrm e}^{x}}$&$72$\\ \hline \end{longtable}"," ",0,"exp(2*exp(x))+(16*x^3*ln(2)-2*exp(x)*x^2-6)*exp(exp(x))+exp(2*x)*x^4+(-16*x^5*ln(2)+6*x^2)*exp(x)+64*x^6*ln(2)^2-48*x^3*ln(2)","B"
2076,1,45,25,0.055000," ","int((2*x^6*ln(x)^3-10*x^3*ln(x)^2+(-10*x^3-100)*ln(x)-50)*exp(((x^6-5*x^4)*ln(x)^2+10*x^3*ln(x)+25)/x^4/ln(x)^2)/((x^5*ln(x)^3*exp(((x^6-5*x^4)*ln(x)^2+10*x^3*ln(x)+25)/x^4/ln(x)^2)-5*x^5*ln(x)^3)*ln(-exp(((x^6-5*x^4)*ln(x)^2+10*x^3*ln(x)+25)/x^4/ln(x)^2)+5)+20*x^5*ln(x)^3*exp(((x^6-5*x^4)*ln(x)^2+10*x^3*ln(x)+25)/x^4/ln(x)^2)-100*x^5*ln(x)^3)/ln(ln(-exp(((x^6-5*x^4)*ln(x)^2+10*x^3*ln(x)+25)/x^4/ln(x)^2)+5)+20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\ln \left(-{\mathrm e}^{\frac{x^{6} \ln \left(x \right)^{2}-5 x^{4} \ln \left(x \right)^{2}+10 x^{3} \ln \left(x \right)+25}{x^{4} \ln \left(x \right)^{2}}}+5\right)+20\right)\right)$&$45$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(-exp((x^6*ln(x)^2-5*x^4*ln(x)^2+10*x^3*ln(x)+25)/x^4/ln(x)^2)+5)+20))","A"
2077,1,158,19,0.130000," ","int((((x+1)*exp(5+x)+2*x)*ln(2*x^3)-3*exp(5+x)-3*x)/(x^2*exp(5+x)^2+2*x^3*exp(5+x)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 \ln \left(x \right)}{x \left(x +{\mathrm e}^{5+x}\right)}-\frac{-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+2 \ln \left(2\right)}{2 x \left(x +{\mathrm e}^{5+x}\right)}$&$158$\\ \hline \end{longtable}"," ",0,"-3/x/(x+exp(5+x))*ln(x)-1/2*(-I*Pi*csgn(I*x^2)*csgn(I*x)^2+2*I*Pi*csgn(I*x^2)^2*csgn(I*x)-I*Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+I*Pi*csgn(I*x)*csgn(I*x^3)^2-I*Pi*csgn(I*x^2)^3+I*Pi*csgn(I*x^2)*csgn(I*x^3)^2-I*Pi*csgn(I*x^3)^3+2*ln(2))/x/(x+exp(5+x))","C"
2078,1,106,21,0.090000," ","int(1/4*(2*x^7+7*x^6+9*x^5+5*x^4+x^3)*ln(-12/x)^4+1/4*(-x^7-4*x^6-6*x^5-4*x^4-x^3)*ln(-12/x)^3+1/4*(800*x^3+1200*x^2+400*x)*ln(-12/x)^2+1/4*(-400*x^3-800*x^2-400*x)*ln(-12/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{\ln \left(-\frac{12}{x}\right)^{4} x^{5}}{4}+100 \ln \left(-\frac{12}{x}\right)^{2} x^{3}+\frac{3 \ln \left(-\frac{12}{x}\right)^{4} x^{6}}{8}+50 \ln \left(-\frac{12}{x}\right)^{2} x^{4}+\frac{\ln \left(-\frac{12}{x}\right)^{4} x^{7}}{4}+\frac{\ln \left(-\frac{12}{x}\right)^{4} x^{8}}{16}+\frac{\ln \left(-\frac{12}{x}\right)^{4} x^{4}}{16}+50 x^{2} \ln \left(-\frac{12}{x}\right)^{2}$&$106$\\ default&$\frac{\ln \left(-\frac{12}{x}\right)^{4} x^{5}}{4}+100 \ln \left(-\frac{12}{x}\right)^{2} x^{3}+\frac{3 \ln \left(-\frac{12}{x}\right)^{4} x^{6}}{8}+50 \ln \left(-\frac{12}{x}\right)^{2} x^{4}+\frac{\ln \left(-\frac{12}{x}\right)^{4} x^{7}}{4}+\frac{\ln \left(-\frac{12}{x}\right)^{4} x^{8}}{16}+\frac{\ln \left(-\frac{12}{x}\right)^{4} x^{4}}{16}+50 x^{2} \ln \left(-\frac{12}{x}\right)^{2}$&$106$\\ risch&$\frac{\ln \left(-\frac{12}{x}\right)^{4} x^{5}}{4}+100 \ln \left(-\frac{12}{x}\right)^{2} x^{3}+\frac{3 \ln \left(-\frac{12}{x}\right)^{4} x^{6}}{8}+50 \ln \left(-\frac{12}{x}\right)^{2} x^{4}+\frac{\ln \left(-\frac{12}{x}\right)^{4} x^{7}}{4}+\frac{\ln \left(-\frac{12}{x}\right)^{4} x^{8}}{16}+\frac{\ln \left(-\frac{12}{x}\right)^{4} x^{4}}{16}+50 x^{2} \ln \left(-\frac{12}{x}\right)^{2}$&$106$\\ \hline \end{longtable}"," ",0,"1/4*ln(-12/x)^4*x^5+100*ln(-12/x)^2*x^3+3/8*ln(-12/x)^4*x^6+50*ln(-12/x)^2*x^4+1/4*ln(-12/x)^4*x^7+1/16*ln(-12/x)^4*x^8+1/16*ln(-12/x)^4*x^4+50*x^2*ln(-12/x)^2","B"
2079,1,16,15,0.131000," ","int(1/23*((240*x^2-92)*exp(30/23*x^2)*ln(4*x)+92*exp(30/23*x^2))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 \,{\mathrm e}^{\frac{30 x^{2}}{23}} \ln \left(4 x \right)}{x}$&$16$\\ risch&$\frac{4 \,{\mathrm e}^{\frac{30 x^{2}}{23}} \ln \left(4 x \right)}{x}$&$16$\\ meijerg&$\left(\frac{2 i \sqrt{690}\, \ln \left(30\right) \left(\frac{i \sqrt{\pi}}{\sqrt{-x^{2}}}-\frac{i \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{\sqrt{-x^{2}}}\right)}{23}-\frac{2 i \sqrt{690}\, \ln \left(23\right) \left(\frac{i \sqrt{\pi}}{\sqrt{-x^{2}}}-\frac{i \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{\sqrt{-x^{2}}}\right)}{23}-\frac{2 \pi  \sqrt{30}\, \sqrt{23}\, \left(\frac{i \sqrt{\pi}}{\sqrt{-x^{2}}}-\frac{i \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{\sqrt{-x^{2}}}\right)}{23}-\frac{4 i \sqrt{690}\, \left(\frac{i \left(-\gamma -2 \ln \left(2\right)\right) \sqrt{\pi}}{2 \sqrt{-x^{2}}}+\frac{15 i \left(-\frac{23 \ln \left(-\frac{30 x^{2}}{23}\right) \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{30}+\frac{23 \left(\gamma +3 \ln \left(2\right)+\ln \left(3\right)+\ln \left(5\right)-\ln \left(23\right)+\ln \left(-x^{2}\right)\right) \sqrt{\pi}}{30}\right)}{23 \sqrt{-x^{2}}}+\frac{i \ln \left(-\frac{30 x^{2}}{23}\right) \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{2 \sqrt{-x^{2}}}+\frac{i \ln \left(23\right) \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{2 \sqrt{-x^{2}}}-\frac{\pi^{\frac{3}{2}}}{2 \sqrt{-x^{2}}}+\frac{i \ln \left(x \right) \sqrt{\pi}}{\sqrt{-x^{2}}}-\frac{i \ln \left(x \right) \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{\sqrt{-x^{2}}}-\frac{i \sqrt{\pi}\, \ln \left(-\frac{30 x^{2}}{23}\right)}{2 \sqrt{-x^{2}}}-\frac{i \ln \left(30\right) \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{2 \sqrt{-x^{2}}}-\frac{i \ln \left(23\right) \sqrt{\pi}}{2 \sqrt{-x^{2}}}+\frac{i \ln \left(30\right) \sqrt{\pi}}{2 \sqrt{-x^{2}}}+\frac{\pi^{\frac{3}{2}} \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{2 \sqrt{-x^{2}}}\right)}{23}\right) x +\frac{8 \ln \left(2\right) \sqrt{30}\, \sqrt{23}\, \sqrt{\pi}\, \erfi \left(\frac{x \sqrt{30}\, \sqrt{23}}{23}\right)}{23}+\left(\frac{i \sqrt{690}\, \ln \left(30\right) \left(-\frac{2 i \sqrt{\pi}}{\sqrt{-x^{2}}}+\frac{2 i \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{\sqrt{-x^{2}}}\right)}{23}-\frac{i \sqrt{690}\, \ln \left(23\right) \left(-\frac{2 i \sqrt{\pi}}{\sqrt{-x^{2}}}+\frac{2 i \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{\sqrt{-x^{2}}}\right)}{23}-\frac{\pi  \sqrt{30}\, \sqrt{23}\, \left(-\frac{2 i \sqrt{\pi}}{\sqrt{-x^{2}}}+\frac{2 i \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{\sqrt{-x^{2}}}\right)}{23}-\frac{2 i \sqrt{690}\, \left(-\frac{i \left(-\gamma -2 \ln \left(2\right)\right) \sqrt{\pi}}{\sqrt{-x^{2}}}-\frac{i \ln \left(-\frac{30 x^{2}}{23}\right) \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{\sqrt{-x^{2}}}+\frac{2 i \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{\sqrt{-x^{2}}}+\frac{\pi^{\frac{3}{2}}}{\sqrt{-x^{2}}}-\frac{i \ln \left(30\right) \sqrt{\pi}}{\sqrt{-x^{2}}}-\frac{i \ln \left(23\right) \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{\sqrt{-x^{2}}}-\frac{2 i \ln \left(x \right) \sqrt{\pi}}{\sqrt{-x^{2}}}+\frac{i \ln \left(30\right) \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{\sqrt{-x^{2}}}+\frac{i \sqrt{\pi}\, \ln \left(-\frac{30 x^{2}}{23}\right)}{\sqrt{-x^{2}}}-\frac{30 i \left(-\frac{23 \ln \left(-\frac{30 x^{2}}{23}\right) \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{30}+\frac{23 \left(\gamma +3 \ln \left(2\right)+\ln \left(3\right)+\ln \left(5\right)-\ln \left(23\right)+\ln \left(-x^{2}\right)\right) \sqrt{\pi}}{30}\right)}{23 \sqrt{-x^{2}}}+\frac{2 i \ln \left(x \right) \sqrt{\pi}\, \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{\sqrt{-x^{2}}}-\frac{\pi^{\frac{3}{2}} \mathrm{erfc}\left(\frac{\sqrt{30}\, \sqrt{23}\, \sqrt{-x^{2}}}{23}\right)}{\sqrt{-x^{2}}}+\frac{i \ln \left(23\right) \sqrt{\pi}}{\sqrt{-x^{2}}}-\frac{2 i \sqrt{\pi}}{\sqrt{-x^{2}}}\right)}{23}\right) x +\frac{-2 \ln \left(30\right) {\mathrm e}^{\frac{30 x^{2}}{23}}+2 \ln \left(23\right) {\mathrm e}^{\frac{30 x^{2}}{23}}-2 i \pi  \,{\mathrm e}^{\frac{30 x^{2}}{23}}-\frac{2 i \sqrt{690}\, \left(\frac{i \sqrt{690}\, \ln \left(x \right) {\mathrm e}^{\frac{30 x^{2}}{23}}}{15}+\frac{i \sqrt{690}\, \ln \left(30\right) {\mathrm e}^{\frac{30 x^{2}}{23}}}{30}-\frac{i \sqrt{690}\, \ln \left(23\right) {\mathrm e}^{\frac{30 x^{2}}{23}}}{30}-\frac{\pi  \sqrt{30}\, \sqrt{23}\, {\mathrm e}^{\frac{30 x^{2}}{23}}}{30}+\frac{i \sqrt{690}\, {\mathrm e}^{\frac{30 x^{2}}{23}}}{15}\right)}{23}}{x}-\frac{i \sqrt{690}\, \left(\frac{240 \ln \left(2\right)}{23}-\frac{120}{23}\right) \left(\frac{i \sqrt{690}\, {\mathrm e}^{\frac{30 x^{2}}{23}}}{15 x}-2 i \sqrt{\pi}\, \erfi \left(\frac{x \sqrt{30}\, \sqrt{23}}{23}\right)\right)}{60}$&$1181$\\ \hline \end{longtable}"," ",0,"4*exp(30/23*x^2)/x*ln(4*x)","A"
2080,1,38,29,0.669000," ","int((((-5*x^2-20*x)*ln((4+x)/x)^2+4)*ln(2*x)^2+((10*x^2+40*x)*ln((4+x)/x)^2-8)*ln(2*x)+(-5*x^2+60*x+320)*ln((4+x)/x)^2+4)/((5*x^2+20*x)*ln((4+x)/x)^2*ln(2*x)^2+(-10*x^2-40*x)*ln((4+x)/x)^2*ln(2*x)+(5*x^2+20*x)*ln((4+x)/x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{1}{5 \ln \left(\frac{4}{x}+1\right)}+\frac{x \left(1-\ln \left(2\right)\right)-x \ln \left(x \right)-16}{\ln \left(x \right)+\ln \left(2\right)-1}$&$38$\\ risch&$-\frac{2 i x \ln \left(2\right)+2 i x \ln \left(x \right)-2 i x +32 i}{2 i \ln \left(2\right)+2 i \ln \left(x \right)-2 i}+\frac{2 i}{5 \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(\frac{i \left(4+x \right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(4+x \right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(\frac{i \left(4+x \right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(4+x \right)}{x}\right)^{3}-2 i \ln \left(x \right)+2 i \ln \left(4+x \right)\right)}$&$140$\\ \hline \end{longtable}"," ",0,"1/5/ln(4/x+1)+(x*(1-ln(2))-x*ln(x)-16)/(ln(x)+ln(2)-1)","A"
2081,1,20,26,0.043000," ","int(1/5*(45*exp(1)*ln(3)*exp(1/2*x^2+x)+3*x^3+3*x^2)/x^2/exp(1/2*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{9 \,{\mathrm e} \ln \left(3\right)}{x}-\frac{3 \,{\mathrm e}^{-\frac{x \left(2+x \right)}{2}}}{5}$&$20$\\ default&$-\frac{3 \,{\mathrm e}^{-\frac{1}{2} x^{2}-x}}{5}-\frac{9 \,{\mathrm e} \ln \left(3\right)}{x}$&$23$\\ norman&$\frac{\left(-\frac{3 x}{5}-9 \,{\mathrm e} \ln \left(3\right) {\mathrm e}^{\frac{1}{2} x^{2}+x}\right) {\mathrm e}^{-\frac{1}{2} x^{2}-x}}{x}$&$33$\\ \hline \end{longtable}"," ",0,"-9*exp(1)*ln(3)/x-3/5*exp(-1/2*x*(2+x))","A"
2082,1,18,17,0.033000," ","int((((-5*x^2-5*x)*exp(x)+5*x)*ln(x)+25*exp(x)^2*x^3+(-50*x^3+20*x^2+5*x)*exp(x)+25*x^3-20*x^2-x+2)/(25*exp(x)^2*x^3+(-50*x^3+20*x^2)*exp(x)+25*x^3-20*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{5 \,{\mathrm e}^{x} x -5 x +2}+x$&$18$\\ \hline \end{longtable}"," ",0,"1/(5*exp(x)*x-5*x+2)*ln(x)+x","A"
2083,1,19,19,0.048000," ","int((-48*x*ln(2)+240*x)/(9*ln(5)^2-24*x^2*ln(5)+16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{6 \left(\ln \left(2\right)-5\right)}{-4 x^{2}+3 \ln \left(5\right)}$&$19$\\ default&$\frac{-30+6 \ln \left(2\right)}{-3 \ln \left(5\right)+4 x^{2}}$&$19$\\ norman&$\frac{30-6 \ln \left(2\right)}{-4 x^{2}+3 \ln \left(5\right)}$&$20$\\ risch&$-\frac{2 \ln \left(2\right)}{-\frac{4 x^{2}}{3}+\ln \left(5\right)}+\frac{10}{-\frac{4 x^{2}}{3}+\ln \left(5\right)}$&$28$\\ \hline \end{longtable}"," ",0,"-6*(ln(2)-5)/(-4*x^2+3*ln(5))","A"
2084,1,122,22,0.294000," ","int(((-40000*x^5-256)*ln(x)*ln(5*x/ln(x))+(10000*x^5-256)*ln(x)-10000*x^5+256)/(390625*x^10-20000*x^5+256)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{16 x \ln \left(\ln \left(x \right)\right)}{625 x^{5}-16}+\frac{8 x \left(-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}+2 \ln \left(5\right)+2 \ln \left(x \right)\right)}{625 x^{5}-16}$&$122$\\ \hline \end{longtable}"," ",0,"-16*x/(625*x^5-16)*ln(ln(x))+8*x*(-I*Pi*csgn(I*x)*csgn(I/ln(x))*csgn(I*x/ln(x))+I*Pi*csgn(I*x)*csgn(I*x/ln(x))^2+I*Pi*csgn(I/ln(x))*csgn(I*x/ln(x))^2-I*Pi*csgn(I*x/ln(x))^3+2*ln(5)+2*ln(x))/(625*x^5-16)","C"
2085,1,11,10,0.014000," ","int((21*x*ln(x)-21*x+15)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-15+21 x}{\ln \left(x \right)}$&$11$\\ risch&$\frac{-15+21 x}{\ln \left(x \right)}$&$12$\\ default&$\frac{21 x}{\ln \left(x \right)}-\frac{15}{\ln \left(x \right)}$&$15$\\ \hline \end{longtable}"," ",0,"(-15+21*x)/ln(x)","A"
2086,1,38,26,0.048000," ","int((18*x^8+252*x^7+1242*x^6+2520*x^5+1800*x^4+4*x^3-24*x^2-232*x-270)/(18*x^9+252*x^8+1242*x^7+2520*x^6+1800*x^5-x^4+2*x^3+53*x^2+90*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 \ln \left(x \right)-\ln \left(x^{2}+7 x +10\right)+\ln \left(18 x^{6}+126 x^{5}+180 x^{4}-x +9\right)$&$38$\\ default&$-3 \ln \left(x \right)-\ln \left(5+x \right)-\ln \left(2+x \right)+\ln \left(18 x^{6}+126 x^{5}+180 x^{4}-x +9\right)$&$39$\\ norman&$-3 \ln \left(x \right)-\ln \left(5+x \right)-\ln \left(2+x \right)+\ln \left(18 x^{6}+126 x^{5}+180 x^{4}-x +9\right)$&$39$\\ \hline \end{longtable}"," ",0,"-3*ln(x)-ln(x^2+7*x+10)+ln(18*x^6+126*x^5+180*x^4-x+9)","A"
2087,1,31,29,0.050000," ","int(((15*x^2-240)*exp(5/4)+5)/x^2/exp(5/4)/exp(3)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{5 \left(3 x^{2} {\mathrm e}^{\frac{5}{4}}-1+48 \,{\mathrm e}^{\frac{5}{4}}\right) {\mathrm e}^{-3} {\mathrm e}^{-\frac{5}{4}}}{\ln \left(5\right) x}$&$31$\\ default&$\frac{{\mathrm e}^{-\frac{5}{4}} {\mathrm e}^{-3} \left(15 x \,{\mathrm e}^{\frac{5}{4}}-\frac{5 \left(-48 \,{\mathrm e}^{\frac{5}{4}}+1\right)}{x}\right)}{\ln \left(5\right)}$&$31$\\ risch&$\frac{15 \,{\mathrm e}^{-3} x}{\ln \left(5\right)}+\frac{240 \,{\mathrm e}^{-\frac{17}{4}} {\mathrm e}^{\frac{5}{4}}}{\ln \left(5\right) x}-\frac{5 \,{\mathrm e}^{-\frac{17}{4}}}{\ln \left(5\right) x}$&$35$\\ norman&$\frac{\frac{15 \,{\mathrm e}^{-3} x^{2}}{\ln \left(5\right)}+\frac{5 \left(48 \,{\mathrm e}^{\frac{5}{4}}-1\right) {\mathrm e}^{-\frac{5}{4}} {\mathrm e}^{-3}}{\ln \left(5\right)}}{x}$&$39$\\ \hline \end{longtable}"," ",0,"5*(3*x^2*exp(5/4)-1+48*exp(5/4))/ln(5)/exp(3)/exp(5/4)/x","A"
2088,1,21,16,0.017000," ","int(2*x*ln(x)+9*x^2-3*x-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x -2 x^{2}+3 x^{3}+x^{2} \ln \left(x \right)$&$21$\\ norman&$-3 x -2 x^{2}+3 x^{3}+x^{2} \ln \left(x \right)$&$21$\\ risch&$-3 x -2 x^{2}+3 x^{3}+x^{2} \ln \left(x \right)$&$21$\\ \hline \end{longtable}"," ",0,"-3*x-2*x^2+3*x^3+x^2*ln(x)","A"
2089,1,12,15,0.027000," ","int(1/18*(6*x+7)*exp(1/6*x^2+7/18*x-16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{1}{6} x^{2}+\frac{7}{18} x -16}$&$12$\\ default&${\mathrm e}^{\frac{1}{6} x^{2}+\frac{7}{18} x -16}$&$12$\\ norman&${\mathrm e}^{\frac{1}{6} x^{2}+\frac{7}{18} x -16}$&$12$\\ risch&${\mathrm e}^{\frac{1}{6} x^{2}+\frac{7}{18} x -16}$&$12$\\ \hline \end{longtable}"," ",0,"exp(1/6*x^2+7/18*x-16)","A"
2090,1,17,17,0.364000," ","int((((4*x+4)*ln(2)+7*x^2+7*x)*exp(x)+21)/(4*ln(2)+7*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 \ln \left(4 \ln \left(2\right)+7 x \right)+{\mathrm e}^{x} x$&$17$\\ norman&$3 \ln \left(4 \ln \left(2\right)+7 x \right)+{\mathrm e}^{x} x$&$17$\\ risch&$3 \ln \left(4 \ln \left(2\right)+7 x \right)+{\mathrm e}^{x} x$&$17$\\ \hline \end{longtable}"," ",0,"3*ln(4*ln(2)+7*x)+exp(x)*x","A"
2091,1,23,23,0.043000," ","int(((4*x^3*ln(x)+5*x^3+2*x^2)*exp(x+ln(x))-20*x*ln(x)-20*x+5)/(4*x^3*exp(x+ln(x))-20*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(x \right)+\frac{\ln \left(x \right)}{4}+\frac{\ln \left({\mathrm e}^{x} x -\frac{5}{x^{2}}\right)}{4}$&$23$\\ norman&$x \ln \left(x \right)-\frac{\ln \left(x \right)}{4}+\frac{\ln \left(x^{2} {\mathrm e}^{x +\ln \left(x \right)}-5\right)}{4}$&$24$\\ \hline \end{longtable}"," ",0,"x*ln(x)+1/4*ln(x)+1/4*ln(exp(x)*x-5/x^2)","A"
2092,1,26,22,0.095000," ","int((((30*x-15)*exp(x)^2+9)*ln(-5*exp(3)+5)+100*exp(x)^4-120*exp(x)^2+36)/(100*exp(x)^4-120*exp(x)^2+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{3 x \left(\ln \left(5\right)+\ln \left(-{\mathrm e}^{3}+1\right)\right)}{4 \left(5 \,{\mathrm e}^{2 x}-3\right)}$&$26$\\ norman&$\frac{\left(-3-\frac{3 \ln \left(5\right)}{4}-\frac{3 \ln \left(-{\mathrm e}^{3}+1\right)}{4}\right) x +5 x \,{\mathrm e}^{2 x}}{5 \,{\mathrm e}^{2 x}-3}$&$37$\\ default&$\ln \left({\mathrm e}^{x}\right)+\frac{\ln \left(5\right) \ln \left({\mathrm e}^{x}\right)}{4}+\frac{\ln \left(-{\mathrm e}^{3}+1\right) \ln \left({\mathrm e}^{x}\right)}{4}-\frac{5 \ln \left(-{\mathrm e}^{3}+1\right) x \,{\mathrm e}^{2 x}}{4 \left(5 \,{\mathrm e}^{2 x}-3\right)}-\frac{5 \ln \left(5\right) x \,{\mathrm e}^{2 x}}{4 \left(5 \,{\mathrm e}^{2 x}-3\right)}$&$67$\\ \hline \end{longtable}"," ",0,"x-3/4*x*(ln(5)+ln(-exp(3)+1))/(5*exp(2*x)-3)","A"
2093,1,18,18,0.026000," ","int(((-8*x^2+6)*exp(x^2)^2-4*x^2)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4}{x}-\frac{2 \,{\mathrm e}^{2 x^{2}}}{x^{3}}$&$18$\\ risch&$\frac{4}{x}-\frac{2 \,{\mathrm e}^{2 x^{2}}}{x^{3}}$&$18$\\ norman&$\frac{4 x^{2}-2 \,{\mathrm e}^{2 x^{2}}}{x^{3}}$&$19$\\ \hline \end{longtable}"," ",0,"4/x-2*exp(x^2)^2/x^3","A"
2094,1,257,28,0.040000," ","int(((-9*x^16+64*x^15+28*x^14-1008*x^13+770*x^12+6496*x^11-6132*x^10-19248*x^9+11423*x^8+32704*x^6+207872*x^5-118272*x^4-688128*x^3-81920*x^2+786432*x+458752)*ln(x)^2+(-56*x^16+400*x^15+176*x^14-6396*x^13+4938*x^12+42400*x^11-40964*x^10-135460*x^9+91442*x^8+76992*x^7+130368*x^6+1043456*x^5-626176*x^4-3784704*x^3-458752*x^2+4456448*x+2621440)*ln(x)-87*x^16+624*x^15+276*x^14-10118*x^13+7886*x^12+68780*x^11-67735*x^10-233522*x^9+171568*x^8+232352*x^7+97216*x^6+1257472*x^5-815616*x^4-5160960*x^3-638976*x^2+6291456*x+3735552)/x^8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x^{16}-8 x^{15}-4 x^{14}+168 x^{13}-154 x^{12}-1624 x^{11}+2044 x^{10}+9624 x^{9}-11423 x^{8}-38496 x^{7}+32704 x^{6}+103936 x^{5}-39424 x^{4}-172032 x^{3}-16384 x^{2}+131072 x +65536\right) \ln \left(x \right)^{2}}{x^{7}}-\frac{2 \left(3 x^{16}-24 x^{15}-12 x^{14}+505 x^{13}-463 x^{12}-4894 x^{11}+6146 x^{10}+29053 x^{9}-34298 x^{8}+97888 x^{6}+312832 x^{5}-117504 x^{4}-516096 x^{3}-49152 x^{2}+393216 x +196608\right) \ln \left(x \right)}{x^{7}}+\frac{-9 x^{16}+72 x^{15}+36 x^{14}-1518 x^{13}+1392 x^{12}+14748 x^{11}-18481 x^{10}-87708 x^{9}+232352 x^{7} \ln \left(x \right)+102972 x^{8}-292992 x^{6}-941568 x^{5}+350208 x^{4}+1548288 x^{3}+147456 x^{2}-1179648 x -589824}{x^{7}}$&$257$\\ default&$102972 x -x^{9} \ln \left(x \right)^{2}-58106 x^{2} \ln \left(x \right)+4 x^{7} \ln \left(x \right)^{2}-6 x^{9} \ln \left(x \right)+\frac{1548288}{x^{4}}+\frac{147456}{x^{5}}-9624 x^{2} \ln \left(x \right)^{2}-\frac{195776 \ln \left(x \right)}{x}-9 x^{9}+36 x^{7}+72 x^{8}+232352 \ln \left(x \right)+38496 \ln \left(x \right)^{2}+14748 x^{4}-18481 x^{3}-87708 x^{2}-1518 x^{6}+1392 x^{5}-12292 x^{3} \ln \left(x \right)+8 x^{8} \ln \left(x \right)^{2}-168 x^{6} \ln \left(x \right)^{2}-1010 x^{6} \ln \left(x \right)+24 x^{7} \ln \left(x \right)-\frac{625664 \ln \left(x \right)}{x^{2}}-\frac{32704 \ln \left(x \right)^{2}}{x}+926 x^{5} \ln \left(x \right)+1624 x^{4} \ln \left(x \right)^{2}-\frac{1179648}{x^{6}}+48 x^{8} \ln \left(x \right)+9788 x^{4} \ln \left(x \right)+11423 x \ln \left(x \right)^{2}+68596 x \ln \left(x \right)-\frac{941568}{x^{2}}-\frac{292992}{x}+\frac{39424 \ln \left(x \right)^{2}}{x^{3}}+\frac{172032 \ln \left(x \right)^{2}}{x^{4}}+\frac{1032192 \ln \left(x \right)}{x^{4}}+154 x^{5} \ln \left(x \right)^{2}-\frac{103936 \ln \left(x \right)^{2}}{x^{2}}+\frac{350208}{x^{3}}-2044 x^{3} \ln \left(x \right)^{2}+\frac{235008 \ln \left(x \right)}{x^{3}}-\frac{589824}{x^{7}}+\frac{16384 \ln \left(x \right)^{2}}{x^{5}}-\frac{786432 \ln \left(x \right)}{x^{6}}-\frac{131072 \ln \left(x \right)^{2}}{x^{6}}+\frac{98304 \ln \left(x \right)}{x^{5}}-\frac{65536 \ln \left(x \right)^{2}}{x^{7}}-\frac{393216 \ln \left(x \right)}{x^{7}}$&$342$\\ \hline \end{longtable}"," ",0,"-(x^16-8*x^15-4*x^14+168*x^13-154*x^12-1624*x^11+2044*x^10+9624*x^9-11423*x^8-38496*x^7+32704*x^6+103936*x^5-39424*x^4-172032*x^3-16384*x^2+131072*x+65536)/x^7*ln(x)^2-2*(3*x^16-24*x^15-12*x^14+505*x^13-463*x^12-4894*x^11+6146*x^10+29053*x^9-34298*x^8+97888*x^6+312832*x^5-117504*x^4-516096*x^3-49152*x^2+393216*x+196608)/x^7*ln(x)+(-9*x^16+72*x^15+36*x^14-1518*x^13+1392*x^12+14748*x^11-18481*x^10-87708*x^9+232352*x^7*ln(x)+102972*x^8-292992*x^6-941568*x^5+350208*x^4+1548288*x^3+147456*x^2-1179648*x-589824)/x^7","B"
2095,1,27,33,0.053000," ","int(((4-2*x)*ln(x)-3*x^6+16*x^5+9*x^4-72*x^3-96*x^2-95*x+188)/(x^4-8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{48+96 x +9 x^{3}-x^{5}+\ln \left(x \right)}{\left(x -4\right) x}$&$27$\\ risch&$\frac{\ln \left(x \right)}{\left(x -4\right) x}-\frac{x^{5}-9 x^{3}-28 x^{2}+16 x -48}{\left(x -4\right) x}$&$41$\\ default&$-x^{3}-4 x^{2}-7 x -\frac{4}{x -4}-\frac{12}{x}-\frac{\ln \left(x \right)}{16}-\frac{\ln \left(x \right)}{4 x}+\frac{x \ln \left(x \right)}{16 x -64}$&$48$\\ \hline \end{longtable}"," ",0,"(48+96*x+9*x^3-x^5+ln(x))/(x-4)/x","A"
2096,0,0,25,0.788000," ","int((((exp(25)^2+(2*x+2)*exp(25)+x^2+2*x)*ln((10*exp(25)+10*x+20)/(exp(25)+x))+2*exp(25)^2+(4*x+4)*exp(25)+2*x^2+4*x)*ln(2*x*ln((10*exp(25)+10*x+20)/(exp(25)+x))+4*x)+((-2*x-4)*exp(25)^2+(-4*x^2-12*x-8)*exp(25)-2*x^3-8*x^2-8*x)*ln((10*exp(25)+10*x+20)/(exp(25)+x))+(-4*x-8)*exp(25)^2+(-8*x^2-24*x-16)*exp(25)-4*x^3-16*x^2-18*x)/((exp(25)^2+(2*x+2)*exp(25)+x^2+2*x)*ln((10*exp(25)+10*x+20)/(exp(25)+x))+2*exp(25)^2+(4*x+4)*exp(25)+2*x^2+4*x),x)","\[\int \frac{\left(\left({\mathrm e}^{50}+\left(2 x +2\right) {\mathrm e}^{25}+x^{2}+2 x \right) \ln \left(\frac{10 \,{\mathrm e}^{25}+10 x +20}{{\mathrm e}^{25}+x}\right)+2 \,{\mathrm e}^{50}+\left(4 x +4\right) {\mathrm e}^{25}+2 x^{2}+4 x \right) \ln \left(2 x \ln \left(\frac{10 \,{\mathrm e}^{25}+10 x +20}{{\mathrm e}^{25}+x}\right)+4 x \right)+\left(\left(-2 x -4\right) {\mathrm e}^{50}+\left(-4 x^{2}-12 x -8\right) {\mathrm e}^{25}-2 x^{3}-8 x^{2}-8 x \right) \ln \left(\frac{10 \,{\mathrm e}^{25}+10 x +20}{{\mathrm e}^{25}+x}\right)+\left(-4 x -8\right) {\mathrm e}^{50}+\left(-8 x^{2}-24 x -16\right) {\mathrm e}^{25}-4 x^{3}-16 x^{2}-18 x}{\left({\mathrm e}^{50}+\left(2 x +2\right) {\mathrm e}^{25}+x^{2}+2 x \right) \ln \left(\frac{10 \,{\mathrm e}^{25}+10 x +20}{{\mathrm e}^{25}+x}\right)+2 \,{\mathrm e}^{50}+\left(4 x +4\right) {\mathrm e}^{25}+2 x^{2}+4 x}\, dx\]"," ",0,"int((((exp(25)^2+(2*x+2)*exp(25)+x^2+2*x)*ln((10*exp(25)+10*x+20)/(exp(25)+x))+2*exp(25)^2+(4*x+4)*exp(25)+2*x^2+4*x)*ln(2*x*ln((10*exp(25)+10*x+20)/(exp(25)+x))+4*x)+((-2*x-4)*exp(25)^2+(-4*x^2-12*x-8)*exp(25)-2*x^3-8*x^2-8*x)*ln((10*exp(25)+10*x+20)/(exp(25)+x))+(-4*x-8)*exp(25)^2+(-8*x^2-24*x-16)*exp(25)-4*x^3-16*x^2-18*x)/((exp(25)^2+(2*x+2)*exp(25)+x^2+2*x)*ln((10*exp(25)+10*x+20)/(exp(25)+x))+2*exp(25)^2+(4*x+4)*exp(25)+2*x^2+4*x),x)","F"
2097,1,18,17,0.035000," ","int(1/60*(x^2*(ln(3)+I*Pi)-4*x^2)/ln(5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{3} \left(\ln \left(3\right)+i \pi -4\right)}{180 \ln \left(5\right)^{2}}$&$18$\\ norman&$\frac{x^{3} \left(\ln \left(3\right)+i \pi -4\right)}{180 \ln \left(5\right)^{2}}$&$18$\\ default&$\frac{\frac{x^{3} \left(\ln \left(3\right)+i \pi \right)}{3}-\frac{4 x^{3}}{3}}{60 \ln \left(5\right)^{2}}$&$25$\\ risch&$\frac{i x^{3} \pi}{180 \ln \left(5\right)^{2}}+\frac{x^{3} \ln \left(3\right)}{180 \ln \left(5\right)^{2}}-\frac{x^{3}}{45 \ln \left(5\right)^{2}}$&$33$\\ \hline \end{longtable}"," ",0,"1/180/ln(5)^2*x^3*(ln(3)+I*Pi-4)","A"
2098,1,23,26,0.338000," ","int((((3*x^3-803*x^2+800*x)*ln(x^2-x)+2*x^3-801*x^2+400*x)*exp(1/400*(x^3-400*x^2)*ln(x^2-x))-2000*x+2000)/(2000*x-2000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{\left(x^{2}-x \right)^{\frac{x^{2} \left(x -400\right)}{400}}}{5}$&$23$\\ default&$-x +\frac{{\mathrm e}^{\frac{\left(x^{3}-400 x^{2}\right) \ln \left(x^{2}-x \right)}{400}}}{5}$&$27$\\ norman&$-x +\frac{{\mathrm e}^{\frac{\left(x^{3}-400 x^{2}\right) \ln \left(x^{2}-x \right)}{400}}}{5}$&$27$\\ \hline \end{longtable}"," ",0,"-x+1/5*(x^2-x)^(1/400*x^2*(x-400))","A"
2099,1,17,17,0.384000," ","int(-3*ln(2)*ln(5)*exp(exp(2))/(9*x^2*exp(exp(2))^2+6*x*ln(2)*exp(exp(2))+ln(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\ln \left(5\right) \ln \left(2\right)}{3 x \,{\mathrm e}^{{\mathrm e}^{2}}+\ln \left(2\right)}$&$17$\\ risch&$\frac{\ln \left(5\right) \ln \left(2\right)}{3 x \,{\mathrm e}^{{\mathrm e}^{2}}+\ln \left(2\right)}$&$17$\\ norman&$-\frac{3 \ln \left(5\right) {\mathrm e}^{{\mathrm e}^{2}} x}{3 x \,{\mathrm e}^{{\mathrm e}^{2}}+\ln \left(2\right)}$&$20$\\ meijerg&$-\frac{3 \ln \left(5\right) {\mathrm e}^{{\mathrm e}^{2}} x}{\ln \left(2\right) \left(1+\frac{3 x \,{\mathrm e}^{{\mathrm e}^{2}}}{\ln \left(2\right)}\right)}$&$27$\\ \hline \end{longtable}"," ",0,"ln(5)*ln(2)/(3*x*exp(exp(2))+ln(2))","A"
2100,1,105,29,0.192000," ","int((((-2*x-2)*ln(x)-2)*ln(1/((x^2+2*x+1)*ln(x)^2+(2*x+2)*ln(x)+1))+(4*x^2+8*x)*ln(x)+8*x+4)/(((5*x^3+5*x^2)*ln(x)+5*x^2)*ln(1/((x^2+2*x+1)*ln(x)^2+(2*x+2)*ln(x)+1))^2+((-10*x^4-10*x^3)*ln(x)-10*x^3)*ln(1/((x^2+2*x+1)*ln(x)^2+(2*x+2)*ln(x)+1))+(5*x^5+5*x^4)*ln(x)+5*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 i}{5 x \left(\pi  \mathrm{csgn}\left(i \left(x \ln \left(x \right)+\ln \left(x \right)+1\right)\right)^{2} \mathrm{csgn}\left(i \left(x \ln \left(x \right)+\ln \left(x \right)+1\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(x \ln \left(x \right)+\ln \left(x \right)+1\right)\right) \mathrm{csgn}\left(i \left(x \ln \left(x \right)+\ln \left(x \right)+1\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(x \ln \left(x \right)+\ln \left(x \right)+1\right)^{2}\right)^{3}+2 i x +4 i \ln \left(x \ln \left(x \right)+\ln \left(x \right)+1\right)\right)}$&$105$\\ \hline \end{longtable}"," ",0,"-4/5*I/x/(Pi*csgn(I*(x*ln(x)+ln(x)+1))^2*csgn(I*(x*ln(x)+ln(x)+1)^2)-2*Pi*csgn(I*(x*ln(x)+ln(x)+1))*csgn(I*(x*ln(x)+ln(x)+1)^2)^2+Pi*csgn(I*(x*ln(x)+ln(x)+1)^2)^3+2*I*x+4*I*ln(x*ln(x)+ln(x)+1))","C"
2101,1,16,16,0.362000," ","int((exp(5)-exp(2)+3*x+12)/(x*exp(5)-exp(2)*x+x^2+12*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x -{\mathrm e}^{2}+12+{\mathrm e}^{5}\right)+\ln \left(x \right)$&$16$\\ norman&$2 \ln \left(x -{\mathrm e}^{2}+12+{\mathrm e}^{5}\right)+\ln \left(x \right)$&$16$\\ risch&$2 \ln \left(x -{\mathrm e}^{2}+12+{\mathrm e}^{5}\right)+\ln \left(x \right)$&$16$\\ meijerg&$\frac{{\mathrm e}^{5} \left(-\ln \left(1+\frac{x}{{\mathrm e}^{5}-{\mathrm e}^{2}+12}\right)+\ln \left(x \right)-\ln \left({\mathrm e}^{5}-{\mathrm e}^{2}+12\right)\right)}{{\mathrm e}^{5}-{\mathrm e}^{2}+12}-\frac{{\mathrm e}^{2} \left(-\ln \left(1+\frac{x}{{\mathrm e}^{5}-{\mathrm e}^{2}+12}\right)+\ln \left(x \right)-\ln \left({\mathrm e}^{5}-{\mathrm e}^{2}+12\right)\right)}{{\mathrm e}^{5}-{\mathrm e}^{2}+12}+3 \ln \left(1+\frac{x}{{\mathrm e}^{5}-{\mathrm e}^{2}+12}\right)+\frac{-12 \ln \left(1+\frac{x}{{\mathrm e}^{5}-{\mathrm e}^{2}+12}\right)+12 \ln \left(x \right)-12 \ln \left({\mathrm e}^{5}-{\mathrm e}^{2}+12\right)}{{\mathrm e}^{5}-{\mathrm e}^{2}+12}$&$151$\\ \hline \end{longtable}"," ",0,"2*ln(x-exp(2)+12+exp(5))+ln(x)","A"
2102,1,443,26,1.428000," ","int((((x-1)*exp(x)*ln(x)*ln(ln(x))*ln(144*ln(ln(x))^2)*ln(ln(144*ln(ln(x))^2))+(3*x-3)*exp(x)*ln(x)*ln(ln(x))*ln(144*ln(ln(x))^2))*ln((ln(ln(144*ln(ln(x))^2))+3)/x)+(-exp(x)-15)*ln(x)*ln(ln(x))*ln(144*ln(ln(x))^2)*ln(ln(144*ln(ln(x))^2))+(-3*exp(x)-45)*ln(x)*ln(ln(x))*ln(144*ln(ln(x))^2)+2*exp(x))/(5*x^2*ln(x)*ln(ln(x))*ln(144*ln(ln(x))^2)*ln(ln(144*ln(ln(x))^2))+15*x^2*ln(x)*ln(ln(x))*ln(144*ln(ln(x))^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x} \ln \left(\ln \left(2 \ln \left(3\right)+4 \ln \left(2\right)+2 \ln \left(\ln \left(\ln \left(x \right)\right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right) \left(-\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)+\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right)\right)^{2}}{2}\right)+3\right)}{5 x}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\ln \left(2 \ln \left(12\right)+2 \ln \left(\ln \left(\ln \left(x \right)\right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right) \left(-\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)+\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right)\right)^{2}}{2}\right)+3\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(2 \ln \left(12\right)+2 \ln \left(\ln \left(\ln \left(x \right)\right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right) \left(-\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)+\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right)\right)^{2}}{2}\right)+3\right)}{x}\right) {\mathrm e}^{x}-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(2 \ln \left(12\right)+2 \ln \left(\ln \left(\ln \left(x \right)\right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right) \left(-\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)+\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right)\right)^{2}}{2}\right)+3\right)}{x}\right)^{2} {\mathrm e}^{x}-i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(2 \ln \left(12\right)+2 \ln \left(\ln \left(\ln \left(x \right)\right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right) \left(-\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)+\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right)\right)^{2}}{2}\right)+3\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(2 \ln \left(12\right)+2 \ln \left(\ln \left(\ln \left(x \right)\right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right) \left(-\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)+\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right)\right)^{2}}{2}\right)+3\right)}{x}\right)^{2} {\mathrm e}^{x}+i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(2 \ln \left(12\right)+2 \ln \left(\ln \left(\ln \left(x \right)\right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right) \left(-\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)+\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right)\right)^{2}}{2}\right)+3\right)}{x}\right)^{3} {\mathrm e}^{x}+2 \,{\mathrm e}^{x} \ln \left(x \right)-30}{10 x}$&$443$\\ \hline \end{longtable}"," ",0,"1/5/x*exp(x)*ln(ln(2*ln(3)+4*ln(2)+2*ln(ln(ln(x)))-1/2*I*Pi*csgn(I*ln(ln(x))^2)*(-csgn(I*ln(ln(x))^2)+csgn(I*ln(ln(x))))^2)+3)-1/10*(I*Pi*csgn(I/x)*csgn(I*(ln(2*ln(12)+2*ln(ln(ln(x)))-1/2*I*Pi*csgn(I*ln(ln(x))^2)*(-csgn(I*ln(ln(x))^2)+csgn(I*ln(ln(x))))^2)+3))*csgn(I/x*(ln(2*ln(12)+2*ln(ln(ln(x)))-1/2*I*Pi*csgn(I*ln(ln(x))^2)*(-csgn(I*ln(ln(x))^2)+csgn(I*ln(ln(x))))^2)+3))*exp(x)-I*Pi*csgn(I/x)*csgn(I/x*(ln(2*ln(12)+2*ln(ln(ln(x)))-1/2*I*Pi*csgn(I*ln(ln(x))^2)*(-csgn(I*ln(ln(x))^2)+csgn(I*ln(ln(x))))^2)+3))^2*exp(x)-I*Pi*csgn(I*(ln(2*ln(12)+2*ln(ln(ln(x)))-1/2*I*Pi*csgn(I*ln(ln(x))^2)*(-csgn(I*ln(ln(x))^2)+csgn(I*ln(ln(x))))^2)+3))*csgn(I/x*(ln(2*ln(12)+2*ln(ln(ln(x)))-1/2*I*Pi*csgn(I*ln(ln(x))^2)*(-csgn(I*ln(ln(x))^2)+csgn(I*ln(ln(x))))^2)+3))^2*exp(x)+I*Pi*csgn(I/x*(ln(2*ln(12)+2*ln(ln(ln(x)))-1/2*I*Pi*csgn(I*ln(ln(x))^2)*(-csgn(I*ln(ln(x))^2)+csgn(I*ln(ln(x))))^2)+3))^3*exp(x)+2*exp(x)*ln(x)-30)/x","C"
2103,1,16,24,0.063000," ","int((2*x^3*exp(x^2)+(1-x)*exp(x)+2*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -\frac{{\mathrm e}^{x}}{x}+{\mathrm e}^{x^{2}}$&$16$\\ risch&$2 x -\frac{{\mathrm e}^{x}}{x}+{\mathrm e}^{x^{2}}$&$16$\\ norman&$\frac{{\mathrm e}^{x^{2}} x +2 x^{2}-{\mathrm e}^{x}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"2*x-exp(x)/x+exp(x^2)","A"
2104,1,27,20,0.075000," ","int(((-144*x-360)*ln(x)^2+(-432*x^2-648*x+360)*ln(x)-288*x^3+144*x^2+720*x)/(x^6+15*x^5+75*x^4+125*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{144 x^{2}+36 \ln \left(x \right)^{2}+144 x \ln \left(x \right)}{\left(5+x \right)^{2} x^{2}}$&$27$\\ risch&$\frac{36 \ln \left(x \right)^{2}}{x^{2} \left(x^{2}+10 x +25\right)}+\frac{144 \ln \left(x \right)}{x \left(x^{2}+10 x +25\right)}+\frac{144}{x^{2}+10 x +25}$&$50$\\ \hline \end{longtable}"," ",0,"(144*x^2+36*ln(x)^2+144*x*ln(x))/(5+x)^2/x^2","A"
2105,1,14,21,0.045000," ","int((-4*exp(x)*x^2+4*x^2-8*x)/exp(2)/exp(x-exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x^{2} {\mathrm e}^{{\mathrm e}^{x}-2-x}$&$14$\\ norman&$-4 \,{\mathrm e}^{-2} x^{2} {\mathrm e}^{{\mathrm e}^{x}-x}$&$19$\\ \hline \end{longtable}"," ",0,"-4*x^2*exp(exp(x)-2-x)","A"
2106,1,17,16,0.096000," ","int((2*x-2)*exp(x+8)*ln(2*ln(2))^2/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 \,{\mathrm e}^{x +8} \ln \left(2 \ln \left(2\right)\right)^{2}}{x}$&$17$\\ derivativedivides&$\frac{2 \,{\mathrm e}^{x +8} \ln \left(2 \ln \left(2\right)\right)^{2}}{x}$&$17$\\ default&$\frac{2 \,{\mathrm e}^{x +8} \ln \left(2 \ln \left(2\right)\right)^{2}}{x}$&$17$\\ risch&$\frac{2 \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)^{2} {\mathrm e}^{x +8}}{x}$&$18$\\ norman&$\frac{\left(2 \ln \left(2\right)^{2}+4 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)+2 \ln \left(\ln \left(2\right)\right)^{2}\right) {\mathrm e}^{x +8}}{x}$&$30$\\ meijerg&$2 \,{\mathrm e}^{8} \ln \left(2 \ln \left(2\right)\right)^{2} \left(-\ln \left(-x \right)-\expIntegralEi \left(1, -x \right)+\ln \left(x \right)+i \pi \right)+2 \,{\mathrm e}^{8} \ln \left(2 \ln \left(2\right)\right)^{2} \left(-\frac{2 x +2}{2 x}+\frac{{\mathrm e}^{x}}{x}+\ln \left(-x \right)+\expIntegralEi \left(1, -x \right)+1-\ln \left(x \right)-i \pi +\frac{1}{x}\right)$&$82$\\ \hline \end{longtable}"," ",0,"2*exp(x+8)*ln(2*ln(2))^2/x","A"
2107,1,63,17,0.097000," ","int(((2*x^2+2*x)*exp(5)-10*x^2-10*x)*exp(x)^2*ln(x)^2+((-18*x-10)*exp(5)+90*x+50)*exp(x)^2*ln(x)+(40*exp(5)-200)*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(x \right)^{2} {\mathrm e}^{5+2 x}-5 \ln \left(x \right)^{2} {\mathrm e}^{2 x} x^{2}-10 x \ln \left(x \right) {\mathrm e}^{5+2 x}+50 \ln \left(x \right) {\mathrm e}^{2 x} x +25 \,{\mathrm e}^{5+2 x}-125 \,{\mathrm e}^{2 x}$&$63$\\ \hline \end{longtable}"," ",0,"x^2*ln(x)^2*exp(5+2*x)-5*ln(x)^2*exp(2*x)*x^2-10*x*ln(x)*exp(5+2*x)+50*ln(x)*exp(2*x)*x+25*exp(5+2*x)-125*exp(2*x)","B"
2108,1,11,11,0.020000," ","int((-exp(x)-3)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +3 \,{\mathrm e}^{-x}$&$11$\\ derivativedivides&$-\ln \left({\mathrm e}^{x}\right)+3 \,{\mathrm e}^{-x}$&$13$\\ default&$-\ln \left({\mathrm e}^{x}\right)+3 \,{\mathrm e}^{-x}$&$13$\\ norman&$\left(-{\mathrm e}^{x} x +3\right) {\mathrm e}^{-x}$&$13$\\ \hline \end{longtable}"," ",0,"-x+3*exp(-x)","A"
2109,1,21,25,0.023000," ","int(((-8*x^2*exp(x^2)+2*x^2-15*x+1)*ln(x)-1)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-15 x +\ln \left(x \right)-\ln \left(\ln \left(x \right)\right)-4 \,{\mathrm e}^{x^{2}}$&$21$\\ norman&$x^{2}-15 x +\ln \left(x \right)-\ln \left(\ln \left(x \right)\right)-4 \,{\mathrm e}^{x^{2}}$&$21$\\ risch&$x^{2}-15 x +\ln \left(x \right)-\ln \left(\ln \left(x \right)\right)-4 \,{\mathrm e}^{x^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"x^2-15*x+ln(x)-ln(ln(x))-4*exp(x^2)","A"
2110,1,25,24,0.087000," ","int((((-4*x^3+20*x^2-25*x)*exp(x)+4*x^2-25)*exp(exp(x))-4*x^2+50*x-100)/(x^2*exp(exp(x))^2+(-2*x^3+8*x^2)*exp(exp(x))+x^4-8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-4 x^{2}+20 x -25}{x \left(x -{\mathrm e}^{{\mathrm e}^{x}}-4\right)}$&$25$\\ risch&$-\frac{4 x^{2}-20 x +25}{x \left(x -{\mathrm e}^{{\mathrm e}^{x}}-4\right)}$&$26$\\ \hline \end{longtable}"," ",0,"(-4*x^2+20*x-25)/x/(x-exp(exp(x))-4)","A"
2111,1,13,13,0.363000," ","int(-x*ln(2)*exp(9*ln(2)*ln(x+9)-x*ln(2))/(x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x +9\right)^{9 \ln \left(2\right)} \left(\frac{1}{2}\right)^{x}$&$13$\\ gosper&${\mathrm e}^{9 \ln \left(2\right) \ln \left(x +9\right)-x \ln \left(2\right)}$&$16$\\ norman&${\mathrm e}^{9 \ln \left(2\right) \ln \left(x +9\right)-x \ln \left(2\right)}$&$16$\\ \hline \end{longtable}"," ",0,"(x+9)^(9*ln(2))*(1/2)^x","A"
2112,1,80,23,0.928000," ","int(((128*x^6-192*x^5+576*x^4-496*x^3+720*x^2-300*x+250)*exp(exp(3)+x)^2+(-128*x^7+64*x^6-64384*x^5+127920*x^4-208224*x^3+79580*x^2-59950*x-100250)*exp(exp(3)+x)+128*x^7-192*x^6+576*x^5-32496*x^4-31823280*x^3-120300*x^2+40200250*x)/(64*x^6-96*x^5+288*x^4-248*x^3+360*x^2-150*x+125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{500 x^{3}+248500 x^{2}+1250 x -\frac{3125}{2}}{x^{4}-x^{3}+\frac{11}{4} x^{2}-\frac{5}{4} x +\frac{25}{16}}+{\mathrm e}^{2 \,{\mathrm e}^{3}+2 x}-\frac{2 x \left(4 x^{2}-2 x +2005\right) {\mathrm e}^{{\mathrm e}^{3}+x}}{4 x^{2}-2 x +5}$&$80$\\ norman&$\frac{8024 x^{4}+10025 x +3997970 x^{2}-16 x^{5}+16 x^{6}+25 \,{\mathrm e}^{2 \,{\mathrm e}^{3}+2 x}-20050 x \,{\mathrm e}^{{\mathrm e}^{3}+x}+8040 x^{2} {\mathrm e}^{{\mathrm e}^{3}+x}+16 x^{4} {\mathrm e}^{2 \,{\mathrm e}^{3}+2 x}-16088 \,{\mathrm e}^{{\mathrm e}^{3}+x} x^{3}+32 \,{\mathrm e}^{{\mathrm e}^{3}+x} x^{4}-32 \,{\mathrm e}^{{\mathrm e}^{3}+x} x^{5}-20 \,{\mathrm e}^{2 \,{\mathrm e}^{3}+2 x} x +44 \,{\mathrm e}^{2 \,{\mathrm e}^{3}+2 x} x^{2}-16 \,{\mathrm e}^{2 \,{\mathrm e}^{3}+2 x} x^{3}-\frac{50125}{4}}{\left(4 x^{2}-2 x +5\right)^{2}}$&$142$\\ derivativedivides&$\text{Expression too large to display}$&$94585$\\ default&$\text{Expression too large to display}$&$94585$\\ \hline \end{longtable}"," ",0,"x^2+(500*x^3+248500*x^2+1250*x-3125/2)/(x^4-x^3+11/4*x^2-5/4*x+25/16)+exp(2*exp(3)+2*x)-2*x*(4*x^2-2*x+2005)/(4*x^2-2*x+5)*exp(exp(3)+x)","B"
2113,1,36,28,0.569000," ","int(((-8*exp(1)+8*x^2+8*x)*exp(x)^2*ln(ln(3)/x)^2+(-84*exp(1)+84*x^2+80*x)*exp(x)^2*ln(ln(3)/x)+(-224*exp(1)+224*x^2+200*x)*exp(x)^2)*exp(x/(ln(ln(3)/x)+5))/(ln(ln(3)/x)^2+10*ln(ln(3)/x)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 \left({\mathrm e}-x^{2}\right) {\mathrm e}^{\frac{x \left(-2 \ln \left(\ln \left(3\right)\right)+2 \ln \left(x \right)-11\right)}{-\ln \left(\ln \left(3\right)\right)+\ln \left(x \right)-5}}$&$36$\\ \hline \end{longtable}"," ",0,"-4*(exp(1)-x^2)*exp(x*(-2*ln(ln(3))+2*ln(x)-11)/(-ln(ln(3))+ln(x)-5))","A"
2114,1,35,24,1.625000," ","int(((-10*x^6+20*x^5+750*x^3+112500)*exp(4)*exp((-x^6+4*x^5-150*x^3-5625)/x^4)+10*x^5*exp(4))/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$10 x \,{\mathrm e}^{4}+5 \,{\mathrm e}^{-\frac{x^{6}-4 x^{5}-4 x^{4}+150 x^{3}+5625}{x^{4}}}$&$35$\\ norman&$\frac{10 x^{5} {\mathrm e}^{4}+5 x^{4} {\mathrm e}^{4} {\mathrm e}^{\frac{-x^{6}+4 x^{5}-150 x^{3}-5625}{x^{4}}}}{x^{4}}$&$42$\\ \hline \end{longtable}"," ",0,"10*x*exp(4)+5*exp(-(x^6-4*x^5-4*x^4+150*x^3+5625)/x^4)","A"
2115,1,19,21,0.414000," ","int((-16*exp(4)-72*x^3-33*x^2+46*x-9)/(9*x^2-6*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x^{2}-9 x +\frac{16 \,{\mathrm e}^{4}}{9 \left(x -\frac{1}{3}\right)}$&$19$\\ default&$-4 x^{2}-9 x +\frac{16 \,{\mathrm e}^{4}}{3 \left(3 x -1\right)}$&$21$\\ norman&$\frac{-23 x^{2}-12 x^{3}+3+\frac{16 \,{\mathrm e}^{4}}{3}}{3 x -1}$&$25$\\ gosper&$\frac{-36 x^{3}-69 x^{2}+16 \,{\mathrm e}^{4}+9}{9 x -3}$&$26$\\ meijerg&$-\frac{16 \,{\mathrm e}^{4} x}{-3 x +1}-\frac{2 x \left(-18 x^{2}-18 x +12\right)}{3 \left(-3 x +1\right)}-\frac{11 x \left(-9 x +6\right)}{9 \left(-3 x +1\right)}+\frac{19 x}{3 \left(-3 x +1\right)}$&$59$\\ \hline \end{longtable}"," ",0,"-4*x^2-9*x+16/9*exp(4)/(x-1/3)","A"
2116,1,153,32,0.236000," ","int(((x^3*exp(x)^3+(3*x^4+120*x^3-360*x^2)*exp(x)^2+(3*x^5+120*x^4-600*x^3-28800*x^2+28800*x)*exp(x)+x^6-240*x^4)*exp(5*x+10)^3+((-3*x^4-800*x^3+480*x^2)*exp(x)^3+(-9*x^5-2760*x^4+2520*x^3+230400*x^2-76800*x)*exp(x)^2+(-9*x^6-2760*x^5+3240*x^4+508800*x^3-201600*x^2)*exp(x)-3*x^7-800*x^6+1200*x^5+192000*x^4-38400*x^3)*exp(5*x+10)^2+((3*x^5+800*x^4-800*x^3-256000*x^2+51200*x)*exp(x)^3+(9*x^6+2760*x^5-3480*x^4-1036800*x^3+268800*x^2)*exp(x)^2+(9*x^7+2760*x^6-4200*x^5-1315200*x^4+393600*x^3)*exp(x)+3*x^8+800*x^7-1520*x^6-448000*x^5+89600*x^4)*exp(5*x+10)+(-x^6+320*x^4)*exp(x)^3+(-3*x^7-120*x^6+1320*x^5+38400*x^4-38400*x^3)*exp(x)^2+(-3*x^8-120*x^7+1560*x^6+67200*x^5-67200*x^4)*exp(x)-x^9+560*x^7)/((1600*exp(x)^3+4800*x*exp(x)^2+4800*exp(x)*x^2+1600*x^3)*exp(5*x+10)^3+(-4800*x*exp(x)^3-14400*exp(x)^2*x^2-14400*exp(x)*x^3-4800*x^4)*exp(5*x+10)^2+(4800*x^2*exp(x)^3+14400*exp(x)^2*x^3+14400*exp(x)*x^4+4800*x^5)*exp(5*x+10)-1600*x^3*exp(x)^3-4800*exp(x)^2*x^4-4800*x^5*exp(x)-1600*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4}}{6400}-\frac{x^{2} \left(3 x^{2} {\mathrm e}^{10 x +20}+3 x \,{\mathrm e}^{11 x +20}-360 \,{\mathrm e}^{10 x +20}-10 \,{\mathrm e}^{5 x +10} x^{3}-14 x^{2} {\mathrm e}^{6 x +10}-4 x \,{\mathrm e}^{7 x +10}+1680 \,{\mathrm e}^{5 x +10} x +960 \,{\mathrm e}^{6 x +10}+7 x^{4}+11 \,{\mathrm e}^{x} x^{3}+4 \,{\mathrm e}^{2 x} x^{2}-1960 x^{2}-2240 \,{\mathrm e}^{x} x -640 \,{\mathrm e}^{2 x}\right)}{40 \left({\mathrm e}^{5 x +10} x +{\mathrm e}^{6 x +10}-x^{2}-{\mathrm e}^{x} x \right)^{2}}$&$153$\\ \hline \end{longtable}"," ",0,"1/6400*x^4-1/40*x^2*(3*x^2*exp(10*x+20)+3*x*exp(11*x+20)-360*exp(10*x+20)-10*exp(5*x+10)*x^3-14*x^2*exp(6*x+10)-4*x*exp(7*x+10)+1680*exp(5*x+10)*x+960*exp(6*x+10)+7*x^4+11*exp(x)*x^3+4*exp(2*x)*x^2-1960*x^2-2240*exp(x)*x-640*exp(2*x))/(exp(5*x+10)*x+exp(6*x+10)-x^2-exp(x)*x)^2","B"
2117,1,6484,29,0.903000," ","int(((-4*x*ln(5)-4*x^2)*ln(x)*ln(ln(x))*ln(x^2/(ln(5)^2+2*x*ln(5)+x^2)/ln(ln(x)))^2+(((-12*x^2-8*x)*ln(5)-12*x^3)*ln(x)*ln(ln(x))+4*x*ln(5)+4*x^2)*ln(x^2/(ln(5)^2+2*x*ln(5)+x^2)/ln(ln(x)))+((-8*x^3-8*x^2+1)*ln(5)-8*x^4+x)*ln(x)*ln(ln(x))+4*x^2*ln(5)+4*x^3)/(2*ln(5)+2*x)/ln(x)/ln(ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$6484$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
2118,1,45,32,0.161000," ","int(((-10*x^2-100*x-250)*x^6+((20*x+100)*exp(4)-3*x^3-30*x^2-75*x)*x^3-10*exp(4)^2-x^2*exp(4))/((5*x^4+50*x^3+125*x^2)*exp(4)*x^6+(-10*x^3-50*x^2)*exp(4)^2*x^3+5*x^2*exp(4)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-2 x^{4}-10 x^{3}-\frac{x^{2}}{5}+2 \,{\mathrm e}^{4}-x \right) {\mathrm e}^{-4}}{x \left(-x^{4}-5 x^{3}+{\mathrm e}^{4}\right)}$&$45$\\ gosper&$\frac{\left(-10 x^{4}-50 x^{3}-x^{2}+10 \,{\mathrm e}^{4}-5 x \right) {\mathrm e}^{-4}}{5 x \left(-x^{4}-5 x^{3}+{\mathrm e}^{4}\right)}$&$48$\\ norman&$\frac{2-2 \,{\mathrm e}^{-4} x^{4}-x \,{\mathrm e}^{-4}-\frac{x^{2} {\mathrm e}^{-4}}{5}-10 \,{\mathrm e}^{-4} x^{3}}{x \left(-x^{4}-5 x^{3}+{\mathrm e}^{4}\right)}$&$56$\\ \hline \end{longtable}"," ",0,"(-2*x^4-10*x^3-1/5*x^2+2*exp(4)-x)/x/(-x^4-5*x^3+exp(4))*exp(-4)","A"
2119,1,20,17,0.377000," ","int(-2*exp(4)*exp(5)^2/(81*x^2*exp(5)^2+216*x^2*exp(5)+144*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \,{\mathrm e}^{4} {\mathrm e}^{10}}{9 \left(3 \,{\mathrm e}^{5}+4\right)^{2} x}$&$20$\\ risch&$\frac{2 \,{\mathrm e}^{14}}{9 x \left(9 \,{\mathrm e}^{10}+24 \,{\mathrm e}^{5}+16\right)}$&$20$\\ gosper&$\frac{2 \,{\mathrm e}^{4} {\mathrm e}^{10}}{9 x \left(9 \,{\mathrm e}^{10}+24 \,{\mathrm e}^{5}+16\right)}$&$26$\\ default&$\frac{2 \,{\mathrm e}^{4} {\mathrm e}^{10}}{9 x \left(9 \,{\mathrm e}^{10}+24 \,{\mathrm e}^{5}+16\right)}$&$26$\\ \hline \end{longtable}"," ",0,"2/9*exp(4)*exp(5)^2/(3*exp(5)+4)^2/x","A"
2120,1,22,23,0.142000," ","int((((x+1)*exp(x)+5)*ln(5*x^2)+(-x^2-2)*exp(x)-10)/(4*exp(x)^2*x^2+40*exp(x)*x^2+100*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x -\ln \left(5 x^{2}\right)}{4 x \left({\mathrm e}^{x}+5\right)}$&$22$\\ norman&$\frac{\frac{x}{4}-\frac{\ln \left(5 x^{2}\right)}{4}}{\left({\mathrm e}^{x}+5\right) x}$&$23$\\ risch&$-\frac{\ln \left(x \right)}{2 x \left({\mathrm e}^{x}+5\right)}-\frac{-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 \ln \left(5\right)-2 x}{8 x \left({\mathrm e}^{x}+5\right)}$&$83$\\ \hline \end{longtable}"," ",0,"1/4*(x-ln(5*x^2))/x/(exp(x)+5)","A"
2121,1,5,4,0.019000," ","int(exp(x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{x -1}$&$5$\\ derivativedivides&${\mathrm e}^{x -1}$&$5$\\ default&${\mathrm e}^{x -1}$&$5$\\ norman&${\mathrm e}^{x -1}$&$5$\\ risch&${\mathrm e}^{x -1}$&$5$\\ meijerg&$-{\mathrm e}^{-1} \left(1-{\mathrm e}^{x}\right)$&$11$\\ \hline \end{longtable}"," ",0,"exp(x-1)","A"
2122,1,17,24,0.058000," ","int(((x^4+2*x^3+2*x^2)*exp(ln(x)+ln(7)-5)-6*x^2-12*x-6)/(x^4+2*x^3+x^2)/exp(ln(x)+ln(7)-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\frac{1}{x +1}+\frac{3 \,{\mathrm e}^{5}}{7 x^{2}}$&$17$\\ risch&$x +\frac{{\mathrm e}^{5} \left(-7 x^{2} {\mathrm e}^{-5}+3 x +3\right)}{7 \left(x +1\right) x^{2}}$&$27$\\ norman&$\frac{x^{4}-2 x^{2}+\frac{3 x \,{\mathrm e}^{5}}{7}+\frac{3 \,{\mathrm e}^{5}}{7}}{\left(x +1\right) x^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"x-1/(x+1)+3/7*exp(5)/x^2","A"
2123,1,40,25,0.448000," ","int(((84*x^3+432*x^2)*ln(x^2)^2+(-252*x^4-984*x^3+576*x^2)*ln(x^2)+168*x^5+552*x^4-492*x^3+432*x^2)/(49*x^2+336*x+576),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{6 x^{3}+6 x^{5}+6 x^{3} \ln \left(x^{2}\right)^{2}-12 x^{4} \ln \left(x^{2}\right)}{7 x +24}$&$40$\\ \hline \end{longtable}"," ",0,"(6*x^3+6*x^5+6*x^3*ln(x^2)^2-12*x^4*ln(x^2))/(7*x+24)","A"
2124,1,46,24,0.139000," ","int(((18*x^2-6*x+3)*ln(-3/2/x)^2-3*x^2*ln(-3/2/x)+3*x^2-3*x)/((36*x^2-12*x+1)*ln(-3/2/x)^2+(-12*x^2+2*x)*ln(-3/2/x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-3 x \ln \left(-\frac{3}{2 x}\right)+3 x^{2} \ln \left(-\frac{3}{2 x}\right)}{6 x \ln \left(-\frac{3}{2 x}\right)-\ln \left(-\frac{3}{2 x}\right)-x}$&$46$\\ risch&$\frac{36 x^{2}-6 x -5}{72 x -12}+\frac{3 x^{2} \left(x -1\right)}{\left(6 x -1\right) \left(6 x \ln \left(-\frac{3}{2 x}\right)-\ln \left(-\frac{3}{2 x}\right)-x \right)}$&$59$\\ \hline \end{longtable}"," ",0,"(-3*x*ln(-3/2/x)+3*x^2*ln(-3/2/x))/(6*x*ln(-3/2/x)-ln(-3/2/x)-x)","A"
2125,1,24,21,0.355000," ","int(((18*x+5)*exp(-ln(ln(9/5*x^2+x))-4)+(-9*x^2-5*x)*ln(9/5*x^2+x))/(9*x^2+5*x)/ln(9/5*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\frac{{\mathrm e}^{-4}}{-\ln \left(5\right)+\ln \left(x \left(9 x +5\right)\right)}$&$24$\\ norman&$\frac{-{\mathrm e}^{-4}-x \ln \left(\frac{9}{5} x^{2}+x \right)}{\ln \left(\frac{9}{5} x^{2}+x \right)}$&$30$\\ \hline \end{longtable}"," ",0,"-x-exp(-4)/(-ln(5)+ln(x*(9*x+5)))","A"
2126,1,19,20,0.018000," ","int(1/4*(-4*x*ln(x)-16*x^4-3*x+32)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{4}-x \ln \left(x \right)+\frac{x}{4}+8 \ln \left(x \right)$&$19$\\ norman&$-x^{4}-x \ln \left(x \right)+\frac{x}{4}+8 \ln \left(x \right)$&$19$\\ risch&$-x^{4}-x \ln \left(x \right)+\frac{x}{4}+8 \ln \left(x \right)$&$19$\\ \hline \end{longtable}"," ",0,"-x^4-x*ln(x)+1/4*x+8*ln(x)","A"
2127,1,19,18,0.127000," ","int((-6*x*ln(84)-3)/((x^2*ln(84)+x)*ln(x^2*ln(84)+x)^2+(-2*x^2*ln(6)*ln(84)-2*x*ln(6))*ln(x^2*ln(84)+x)+x^2*ln(6)^2*ln(84)+x*ln(6)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{3}{\ln \left(6\right)-\ln \left(x^{2} \ln \left(84\right)+x \right)}$&$19$\\ risch&$-\frac{3}{\ln \left(3\right)+\ln \left(2\right)-\ln \left(x^{2} \left(2 \ln \left(2\right)+\ln \left(3\right)+\ln \left(7\right)\right)+x \right)}$&$28$\\ \hline \end{longtable}"," ",0,"-3/(ln(6)-ln(x^2*ln(84)+x))","A"
2128,1,23,25,0.405000," ","int((-45*exp(5)-8*x^3+84*x^2-288*x+459)/(4*x^2-24*x+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$9 x -x^{2}-\frac{135-45 \,{\mathrm e}^{5}}{4 \left(x -3\right)}$&$23$\\ norman&$\frac{12 x^{2}-x^{3}-\frac{459}{4}+\frac{45 \,{\mathrm e}^{5}}{4}}{x -3}$&$23$\\ gosper&$\frac{-4 x^{3}+48 x^{2}+45 \,{\mathrm e}^{5}-459}{4 x -12}$&$24$\\ risch&$-x^{2}+9 x -\frac{135}{4 \left(x -3\right)}+\frac{45 \,{\mathrm e}^{5}}{4 \left(x -3\right)}$&$26$\\ meijerg&$-\frac{45 x}{4 \left(1-\frac{x}{3}\right)}-\frac{5 \,{\mathrm e}^{5} x}{4 \left(1-\frac{x}{3}\right)}-\frac{3 x \left(-\frac{2}{9} x^{2}-2 x +12\right)}{2 \left(1-\frac{x}{3}\right)}+\frac{7 x \left(-x +6\right)}{1-\frac{x}{3}}$&$59$\\ \hline \end{longtable}"," ",0,"9*x-x^2-1/4*(135-45*exp(5))/(x-3)","A"
2129,1,19,20,0.041000," ","int((75*exp(x)^2+5*exp(x)*x^2)/((1225*x^2+1050*x+225)*exp(x)^2+(70*x^2+30*x)*exp(x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 \,{\mathrm e}^{x} x}{35 \,{\mathrm e}^{x} x +15 \,{\mathrm e}^{x}+x}$&$19$\\ risch&$-\frac{3}{49 \left(x +\frac{3}{7}\right)}-\frac{x^{2}}{\left(7 x +3\right) \left(35 \,{\mathrm e}^{x} x +15 \,{\mathrm e}^{x}+x \right)}$&$34$\\ \hline \end{longtable}"," ",0,"5*exp(x)*x/(35*exp(x)*x+15*exp(x)+x)","A"
2130,1,25,24,0.250000," ","int((2*x*ln(2)^2*exp(2*x)^2+(-4*x*ln(3/2)+x^2)*ln(2)*exp(2*x)+2*x*ln(3/2)^2)/(4*ln(2)^2*exp(2*x)^2-8*ln(3/2)*ln(2)*exp(2*x)+4*ln(3/2)^2)/exp(1/(2*ln(2)*exp(2*x)-2*ln(3/2))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{-\frac{1}{2 \left(\ln \left(2\right) {\mathrm e}^{2 x}+\ln \left(2\right)-\ln \left(3\right)\right)}}}{4}$&$25$\\ norman&$\frac{\left(\left(\frac{\ln \left(2\right)}{4}-\frac{\ln \left(3\right)}{4}\right) x^{2}+\frac{x^{2} \ln \left(2\right) {\mathrm e}^{2 x}}{4}\right) {\mathrm e}^{-\frac{1}{{\mathrm e}^{2 x} \ln \left(4\right)+\ln \left(\frac{4}{9}\right)}}}{\ln \left(2\right) {\mathrm e}^{2 x}-\ln \left(\frac{3}{2}\right)}$&$59$\\ \hline \end{longtable}"," ",0,"1/4*x^2*exp(-1/2/(ln(2)*exp(2*x)+ln(2)-ln(3)))","A"
2131,1,24,20,0.054000," ","int(((2*exp(x)+16)*ln(1/4*exp(x)+2)*ln(ln(1/4*exp(x)+2))*ln(ln(ln(1/4*exp(x)+2)))*ln(ln(ln(ln(1/4*exp(x)+2))))+((-2*exp(x)-16)*ln(x)+exp(x)+8)*ln(1/4*exp(x)+2)*ln(ln(1/4*exp(x)+2))*ln(ln(ln(1/4*exp(x)+2)))-exp(x)*x)/(10*exp(x)*x^3+80*x^3)/ln(1/4*exp(x)+2)/ln(ln(1/4*exp(x)+2))/ln(ln(ln(1/4*exp(x)+2))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(\ln \left(\ln \left(\ln \left(\frac{{\mathrm e}^{x}}{4}+2\right)\right)\right)\right)}{10 x^{2}}+\frac{\ln \left(x \right)}{10 x^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"-1/10/x^2*ln(ln(ln(ln(1/4*exp(x)+2))))+1/10*ln(x)/x^2","A"
2132,1,20,25,0.136000," ","int((-2*x^3-4*x^2+x+3)*exp((-x*ln(2*x)+2*x*ln(x)-x^3-4*x^2-3)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{-\frac{x^{3}+4 x^{2}+3}{x}}}{2}$&$20$\\ gosper&${\mathrm e}^{\frac{-x \ln \left(2 x \right)+2 x \ln \left(x \right)-x^{3}-4 x^{2}-3}{x}}$&$30$\\ \hline \end{longtable}"," ",0,"1/2*x*exp(-(x^3+4*x^2+3)/x)","A"
2133,1,16,16,0.123000," ","int((-(-2*x+2)*exp(2*ln(2)-2+2*x)-x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x}+\frac{4 \,{\mathrm e}^{2 x -2}}{x^{2}}$&$16$\\ norman&$\frac{x +{\mathrm e}^{2 \ln \left(2\right)-2+2 x}}{x^{2}}$&$17$\\ derivativedivides&$\frac{1}{x}+\frac{{\mathrm e}^{2 \ln \left(2\right)-2+2 x}}{x^{2}}$&$19$\\ default&$\frac{1}{x}+\frac{{\mathrm e}^{2 \ln \left(2\right)-2+2 x}}{x^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"1/x+4*exp(2*x-2)/x^2","A"
2134,1,51,21,0.052000," ","int(16*x^3*ln(x)^3-4*x^3*ln(x)^2+(-4*x^3*exp(1)+5*x^4-24*x^3)*ln(x)+3*x^3*exp(1)-4*x^4+12*x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{5} \ln \left(x \right)+\left({\mathrm e}+4\right) x^{4}+\left(-{\mathrm e}-4\right) x^{4} \ln \left(x \right)-x^{5}-4 x^{4} \ln \left(x \right)^{2}+4 x^{4} \ln \left(x \right)^{3}$&$51$\\ default&$-{\mathrm e} \ln \left(x \right) x^{4}+x^{4} {\mathrm e}+x^{5} \ln \left(x \right)-x^{5}-4 x^{4} \ln \left(x \right)+4 x^{4}-4 x^{4} \ln \left(x \right)^{2}+4 x^{4} \ln \left(x \right)^{3}$&$58$\\ risch&$-{\mathrm e} \ln \left(x \right) x^{4}+x^{4} {\mathrm e}+x^{5} \ln \left(x \right)-x^{5}-4 x^{4} \ln \left(x \right)+4 x^{4}-4 x^{4} \ln \left(x \right)^{2}+4 x^{4} \ln \left(x \right)^{3}$&$58$\\ \hline \end{longtable}"," ",0,"x^5*ln(x)+(exp(1)+4)*x^4+(-exp(1)-4)*x^4*ln(x)-x^5-4*x^4*ln(x)^2+4*x^4*ln(x)^3","B"
2135,1,63,23,0.085000," ","int(1/4*(((2*exp(x)*x+x^2+x)*exp(2+x)-x)*ln(x)+((2*x^2-5*x+1)*exp(x)+x^3-x^2-2*x)*exp(2+x)-2*x^2+2*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x \,{\mathrm e}^{2+x}+{\mathrm e}^{2 x +2}-x \right) \ln \left(x \right)}{4}+\frac{x^{2} {\mathrm e}^{2+x}}{4}+\frac{x \,{\mathrm e}^{2 x +2}}{4}-\frac{3 x \,{\mathrm e}^{2+x}}{4}-\frac{3 \,{\mathrm e}^{2 x +2}}{4}-\frac{x^{2}}{4}+\frac{3 x}{4}$&$63$\\ default&$\frac{3 x}{4}+\frac{x^{2} {\mathrm e}^{2+x}}{4}+\frac{\ln \left(x \right) {\mathrm e}^{2+x} x}{4}-\frac{3 x \,{\mathrm e}^{2+x}}{4}+\frac{x \,{\mathrm e}^{2} {\mathrm e}^{2 x}}{4}+\frac{{\mathrm e}^{2} {\mathrm e}^{2 x} \ln \left(x \right)}{4}-\frac{3 \,{\mathrm e}^{2} {\mathrm e}^{2 x}}{4}-\frac{x^{2}}{4}-\frac{x \ln \left(x \right)}{4}$&$67$\\ \hline \end{longtable}"," ",0,"1/4*(x*exp(2+x)+exp(2*x+2)-x)*ln(x)+1/4*x^2*exp(2+x)+1/4*x*exp(2*x+2)-3/4*x*exp(2+x)-3/4*exp(2*x+2)-1/4*x^2+3/4*x","B"
2136,1,27,23,0.046000," ","int(1/2*(-2*x^2*ln(7)*exp(x)-2*x^2*ln(7)-2*x^3-1)/x^2/ln(7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-x^{2}+\frac{1}{x}-2 \ln \left(7\right) {\mathrm e}^{x}-2 x \ln \left(7\right)}{2 \ln \left(7\right)}$&$27$\\ risch&$-\frac{x^{2}}{2 \ln \left(7\right)}+\frac{1}{2 \ln \left(7\right) x}-{\mathrm e}^{x}-x$&$27$\\ norman&$\frac{-x^{2}+\frac{1}{2 \ln \left(7\right)}-{\mathrm e}^{x} x -\frac{x^{3}}{2 \ln \left(7\right)}}{x}$&$31$\\ \hline \end{longtable}"," ",0,"1/2/ln(7)*(-x^2+1/x-2*ln(7)*exp(x)-2*x*ln(7))","A"
2137,1,27,24,0.760000," ","int((ln(2)^2+(25*x^2+100*x+124)*ln(2)-25*x^2-50*x-25)/(ln(2)^2+(25*x^2+100*x+125)*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x \ln \left(2\right)-x +\ln \left(25 x^{2}+\ln \left(2\right)+100 x +125\right)}{\ln \left(2\right)}$&$27$\\ risch&$x -\frac{x}{\ln \left(2\right)}+\frac{\ln \left(25 x^{2}+\ln \left(2\right)+100 x +125\right)}{\ln \left(2\right)}$&$28$\\ norman&$\frac{\left(\ln \left(2\right)-1\right) x}{\ln \left(2\right)}+\frac{\ln \left(25 x^{2}+\ln \left(2\right)+100 x +125\right)}{\ln \left(2\right)}$&$30$\\ \hline \end{longtable}"," ",0,"1/ln(2)*(x*ln(2)-x+ln(25*x^2+ln(2)+100*x+125))","A"
2138,1,12,13,0.034000," ","int(-2/9*ln(2)*exp((-x+4)*ln(2))+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{2 \,2^{-x +4}}{9}$&$12$\\ default&$x +\frac{2 \,{\mathrm e}^{\left(-x +4\right) \ln \left(2\right)}}{9}$&$14$\\ norman&$x +\frac{2 \,{\mathrm e}^{\left(-x +4\right) \ln \left(2\right)}}{9}$&$14$\\ derivativedivides&$-\frac{-2 \ln \left(2\right) {\mathrm e}^{\left(-x +4\right) \ln \left(2\right)}+9 \ln \left({\mathrm e}^{\left(-x +4\right) \ln \left(2\right)}\right)}{9 \ln \left(2\right)}$&$33$\\ \hline \end{longtable}"," ",0,"x+2/9*2^(-x+4)","A"
2139,1,34,18,0.050000," ","int(((100*x^3-4)*ln(ln(50*x^3+4)-ln(x))+300*x^3-12)/((25*x^4+2*x)*ln(50*x^3+4)+(-25*x^4-2*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(50 x^{3}+4\right)-\ln \left(x \right)\right)^{2}+6 \ln \left(\ln \left(50 x^{3}+4\right)-\ln \left(x \right)\right)$&$34$\\ \hline \end{longtable}"," ",0,"ln(ln(50*x^3+4)-ln(x))^2+6*ln(ln(50*x^3+4)-ln(x))","A"
2140,1,22,20,0.142000," ","int((-5*exp(x)-x^3+x^2)*exp(((5-x)*exp(x)+x^2)/exp(x)/x)/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{\left(\left(5-x \right) {\mathrm e}^{x}+x^{2}\right) {\mathrm e}^{-x}}{x}}$&$22$\\ risch&${\mathrm e}^{-\frac{\left({\mathrm e}^{x} x -x^{2}-5 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{x}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(((5-x)*exp(x)+x^2)/exp(x)/x)","A"
2141,1,31,24,0.426000," ","int((((-8*x^2+16*x-8)*exp(4)-8*x^3-48*x^2+120*x-64)*exp(exp(4)^2+(2*x+16)*exp(4)+x^2+16*x+64)-1)/(4*x^2-8*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{4 x -4}-{\mathrm e}^{2 x \,{\mathrm e}^{4}+x^{2}+16 \,{\mathrm e}^{4}+{\mathrm e}^{8}+16 x +64}$&$31$\\ norman&$\frac{-{\mathrm e}^{{\mathrm e}^{8}+\left(2 x +16\right) {\mathrm e}^{4}+x^{2}+16 x +64} x +\frac{1}{4}+{\mathrm e}^{{\mathrm e}^{8}+\left(2 x +16\right) {\mathrm e}^{4}+x^{2}+16 x +64}}{x -1}$&$54$\\ default&$-{\mathrm e}^{x^{2}+\left(2 \,{\mathrm e}^{4}+16\right) x +{\mathrm e}^{8}+16 \,{\mathrm e}^{4}+64}-\frac{i \left(2 \,{\mathrm e}^{4}+16\right) \sqrt{\pi}\, {\mathrm e}^{{\mathrm e}^{8}+16 \,{\mathrm e}^{4}+64-\frac{\left(2 \,{\mathrm e}^{4}+16\right)^{2}}{4}} \erf \left(i x +\frac{i \left(2 \,{\mathrm e}^{4}+16\right)}{2}\right)}{2}+i {\mathrm e}^{4} \sqrt{\pi}\, {\mathrm e}^{{\mathrm e}^{8}+16 \,{\mathrm e}^{4}+64-\frac{\left(2 \,{\mathrm e}^{4}+16\right)^{2}}{4}} \erf \left(i x +\frac{i \left(2 \,{\mathrm e}^{4}+16\right)}{2}\right)+8 i \sqrt{\pi}\, {\mathrm e}^{{\mathrm e}^{8}+16 \,{\mathrm e}^{4}+64-\frac{\left(2 \,{\mathrm e}^{4}+16\right)^{2}}{4}} \erf \left(i x +\frac{i \left(2 \,{\mathrm e}^{4}+16\right)}{2}\right)+\frac{1}{4 x -4}$&$167$\\ \hline \end{longtable}"," ",0,"1/4/(x-1)-exp(2*x*exp(4)+x^2+16*exp(4)+exp(8)+16*x+64)","A"
2142,1,15,16,0.399000," ","int((6*x^2*ln(2)-72*x^2)/(2*(x^3+5)*ln(2)-24*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x^{3} \left(\ln \left(2\right)-12\right)+5 \ln \left(2\right)\right)$&$15$\\ derivativedivides&$\ln \left(2 \left(x^{3}+5\right) \ln \left(2\right)-24 x^{3}\right)$&$17$\\ default&$\ln \left(x^{3} \ln \left(2\right)-12 x^{3}+5 \ln \left(2\right)\right)$&$18$\\ norman&$\ln \left(x^{3} \ln \left(2\right)-12 x^{3}+5 \ln \left(2\right)\right)$&$18$\\ meijerg&$-\frac{5 \left(\frac{3 \ln \left(2\right)}{5}-\frac{36}{5}\right) \ln \left(1-\frac{x^{3} \left(12-\ln \left(2\right)\right)}{5 \ln \left(2\right)}\right)}{3 \left(12-\ln \left(2\right)\right)}$&$35$\\ \hline \end{longtable}"," ",0,"ln(x^3*(ln(2)-12)+5*ln(2))","A"
2143,1,18,21,0.487000," ","int(((7*x^2-19*x-8)*ln(-7/2*x^3+19/2*x^2+4*x)+21*x^2-38*x-8)/(7*x^2-19*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(-\frac{7}{2} x^{3}+\frac{19}{2} x^{2}+4 x \right) x$&$18$\\ risch&$\ln \left(-\frac{7}{2} x^{3}+\frac{19}{2} x^{2}+4 x \right) x$&$18$\\ default&$-x \ln \left(2\right)+x \ln \left(-7 x^{3}+19 x^{2}+8 x \right)$&$24$\\ \hline \end{longtable}"," ",0,"ln(-7/2*x^3+19/2*x^2+4*x)*x","A"
2144,1,22,21,0.111000," ","int((-x^3+6*x^2-18*x+30)*exp((-x^3+3*x^2+6*x-21)/(x^2-4*x+4))/(x^3-6*x^2+12*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x^{3}-3 x^{2}-6 x +21}{\left(x -2\right)^{2}}}$&$22$\\ gosper&${\mathrm e}^{-\frac{x^{3}-3 x^{2}-6 x +21}{x^{2}-4 x +4}}$&$27$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{-x^{3}+3 x^{2}+6 x -21}{x^{2}-4 x +4}}-4 x \,{\mathrm e}^{\frac{-x^{3}+3 x^{2}+6 x -21}{x^{2}-4 x +4}}+4 \,{\mathrm e}^{\frac{-x^{3}+3 x^{2}+6 x -21}{x^{2}-4 x +4}}}{\left(x -2\right)^{2}}$&$98$\\ \hline \end{longtable}"," ",0,"exp(-(x^3-3*x^2-6*x+21)/(x-2)^2)","A"
2145,1,22,23,0.449000," ","int(1/2*((-2*x^2+4*x+1)*exp(x^2)+2*(9*x^2-36*x+63)*ln(2))/(9*x^2-36*x+36)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}-\frac{{\mathrm e}^{x^{2}}}{18 \ln \left(2\right)}-7}{x -2}$&$22$\\ risch&$x -\frac{3}{x -2}-\frac{{\mathrm e}^{x^{2}}}{18 \ln \left(2\right) \left(x -2\right)}$&$25$\\ \hline \end{longtable}"," ",0,"(x^2-1/18*exp(x^2)/ln(2)-7)/(x-2)","A"
2146,1,16,18,0.045000," ","int(((5*x^5+1)*exp(-x^5)-x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{{\mathrm e}^{-x^{5}}}{x}$&$16$\\ norman&$\frac{-x^{2}-{\mathrm e}^{-x^{5}}}{x}$&$19$\\ \hline \end{longtable}"," ",0,"-x-1/x*exp(-x^5)","A"
2147,1,23,23,0.027000," ","int((-25*x*ln(x)*ln(ln(x))^2+50*x^2*ln(ln(x))+(-25*x^2+25*x+25)*exp(x)*ln(x))/(x^3*ln(x)*ln(ln(x))^2-x^2*exp(x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25}{x}+25 \ln \left(\ln \left(\ln \left(x \right)\right)^{2}-\frac{{\mathrm e}^{x}}{x}\right)$&$23$\\ \hline \end{longtable}"," ",0,"25/x+25*ln(ln(ln(x))^2-exp(x)/x)","A"
2148,1,87,17,0.064000," ","int(((20*ln(2)+20)*exp(((2+x)*ln(2)+x)/ln(2))^4+(80*ln(2)+60)*exp(x)*exp(((2+x)*ln(2)+x)/ln(2))^3+(120*ln(2)+60)*exp(x)^2*exp(((2+x)*ln(2)+x)/ln(2))^2+(80*ln(2)+20)*exp(x)^3*exp(((2+x)*ln(2)+x)/ln(2))+20*ln(2)*exp(x)^4)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \,{\mathrm e}^{4 x}+20 \,{\mathrm e}^{\frac{4 x \ln \left(2\right)+2 \ln \left(2\right)+x}{\ln \left(2\right)}}+30 \,{\mathrm e}^{\frac{4 x \ln \left(2\right)+4 \ln \left(2\right)+2 x}{\ln \left(2\right)}}+20 \,{\mathrm e}^{\frac{4 x \ln \left(2\right)+6 \ln \left(2\right)+3 x}{\ln \left(2\right)}}+5 \,{\mathrm e}^{\frac{4 x \ln \left(2\right)+8 \ln \left(2\right)+4 x}{\ln \left(2\right)}}$&$87$\\ default&$\frac{\frac{5 \,{\mathrm e}^{\frac{4 \left(2+x \right) \ln \left(2\right)+4 x}{\ln \left(2\right)}} \ln \left(2\right)^{2}}{1+\ln \left(2\right)}+\frac{5 \,{\mathrm e}^{\frac{4 \left(2+x \right) \ln \left(2\right)+4 x}{\ln \left(2\right)}} \ln \left(2\right)}{1+\ln \left(2\right)}+\frac{80 \,{\mathrm e}^{3 x +\frac{\left(2+x \right) \ln \left(2\right)+x}{\ln \left(2\right)}} \ln \left(2\right)}{4+\frac{1}{\ln \left(2\right)}}+\frac{20 \,{\mathrm e}^{3 x +\frac{\left(2+x \right) \ln \left(2\right)+x}{\ln \left(2\right)}}}{4+\frac{1}{\ln \left(2\right)}}+\frac{80 \,{\mathrm e}^{x +\frac{3 \left(2+x \right) \ln \left(2\right)+3 x}{\ln \left(2\right)}} \ln \left(2\right)}{4+\frac{3}{\ln \left(2\right)}}+\frac{60 \,{\mathrm e}^{x +\frac{3 \left(2+x \right) \ln \left(2\right)+3 x}{\ln \left(2\right)}}}{4+\frac{3}{\ln \left(2\right)}}+\frac{120 \,{\mathrm e}^{2 x +\frac{2 \left(2+x \right) \ln \left(2\right)+2 x}{\ln \left(2\right)}} \ln \left(2\right)}{4+\frac{2}{\ln \left(2\right)}}+\frac{60 \,{\mathrm e}^{2 x +\frac{2 \left(2+x \right) \ln \left(2\right)+2 x}{\ln \left(2\right)}}}{4+\frac{2}{\ln \left(2\right)}}+5 \ln \left(2\right) {\mathrm e}^{4 x}}{\ln \left(2\right)}$&$251$\\ \hline \end{longtable}"," ",0,"5*exp(4*x)+20*exp((4*x*ln(2)+2*ln(2)+x)/ln(2))+30*exp(2*(2*x*ln(2)+2*ln(2)+x)/ln(2))+20*exp((4*x*ln(2)+6*ln(2)+3*x)/ln(2))+5*exp(4*(x*ln(2)+2*ln(2)+x)/ln(2))","B"
2149,1,16,21,0.451000," ","int((2*ln(3)^2-4*x*ln(3)-exp(1)+2*x^2)/(ln(3)^2-2*x*ln(3)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\frac{{\mathrm e}}{-\ln \left(3\right)+x}$&$16$\\ risch&$2 x -\frac{{\mathrm e}}{\ln \left(3\right)-x}$&$17$\\ gosper&$-\frac{2 x^{2}-2 \ln \left(3\right)^{2}+{\mathrm e}}{\ln \left(3\right)-x}$&$25$\\ norman&$\frac{-2 x^{2}+2 \ln \left(3\right)^{2}-{\mathrm e}}{\ln \left(3\right)-x}$&$26$\\ meijerg&$\frac{2 x}{1-\frac{x}{\ln \left(3\right)}}-4 \ln \left(3\right) \left(\frac{x}{\ln \left(3\right) \left(1-\frac{x}{\ln \left(3\right)}\right)}+\ln \left(1-\frac{x}{\ln \left(3\right)}\right)\right)-\frac{{\mathrm e} x}{\ln \left(3\right)^{2} \left(1-\frac{x}{\ln \left(3\right)}\right)}-2 \ln \left(3\right) \left(-\frac{x \left(-\frac{3 x}{\ln \left(3\right)}+6\right)}{3 \ln \left(3\right) \left(1-\frac{x}{\ln \left(3\right)}\right)}-2 \ln \left(1-\frac{x}{\ln \left(3\right)}\right)\right)$&$112$\\ \hline \end{longtable}"," ",0,"2*x+exp(1)/(-ln(3)+x)","A"
2150,1,26,33,0.157000," ","int((128*x^4+304*x^3-4*x+16)/x^3/exp((-16*x^4-76*x^3-98*x^2-x+2)/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{\frac{16 x^{4}+76 x^{3}+98 x^{2}+x -2}{x^{2}}}$&$26$\\ gosper&$4 \,{\mathrm e}^{\frac{16 x^{4}+76 x^{3}+98 x^{2}+x -2}{x^{2}}}$&$29$\\ norman&$4 \,{\mathrm e}^{-\frac{-16 x^{4}-76 x^{3}-98 x^{2}-x +2}{x^{2}}}$&$30$\\ \hline \end{longtable}"," ",0,"4*exp((16*x^4+76*x^3+98*x^2+x-2)/x^2)","A"
2151,1,27,20,0.026000," ","int(((-4*x^5-8*x^4)*exp(x)-12*x^5-24*x^4+5*x^3+8)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-12 x^{2}+5 x -\frac{4}{x^{2}}-4 x^{3}-4 \,{\mathrm e}^{x} x^{2}$&$27$\\ risch&$-12 x^{2}+5 x -\frac{4}{x^{2}}-4 x^{3}-4 \,{\mathrm e}^{x} x^{2}$&$27$\\ norman&$\frac{-4+5 x^{3}-12 x^{4}-4 x^{5}-4 \,{\mathrm e}^{x} x^{4}}{x^{2}}$&$29$\\ \hline \end{longtable}"," ",0,"-12*x^2+5*x-4/x^2-4*x^3-4*exp(x)*x^2","A"
2152,1,36,29,0.083000," ","int(((16000*x^2+25600*x+10240)*exp(4)+2096*x^2+2000*x+5030)/((3200*x^4-34880*x^3+63048*x^2+174400*x+80000)*exp(4)+400*x^4-4360*x^3+7881*x^2+21800*x+10000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-\frac{2 \left(80 \,{\mathrm e}^{4}+10\right)}{4 x -25}-\frac{6}{5 \left(4+5 x \right)}}{8 \,{\mathrm e}^{4}+1}$&$36$\\ risch&$\frac{\left(-5 \,{\mathrm e}^{4}-\frac{131}{200}\right) x -4 \,{\mathrm e}^{4}-\frac{5}{16}}{x^{2} {\mathrm e}^{4}-\frac{109 x \,{\mathrm e}^{4}}{20}+\frac{x^{2}}{8}-5 \,{\mathrm e}^{4}-\frac{109 x}{160}-\frac{5}{8}}$&$43$\\ gosper&$-\frac{2 \left(2000 x \,{\mathrm e}^{4}+1600 \,{\mathrm e}^{4}+262 x +125\right)}{5 \left(160 x^{2} {\mathrm e}^{4}-872 x \,{\mathrm e}^{4}+20 x^{2}-800 \,{\mathrm e}^{4}-109 x -100\right)}$&$45$\\ norman&$\frac{-\frac{5 \left(10+128 \,{\mathrm e}^{4}\right)}{8 \,{\mathrm e}^{4}+1}-\frac{\left(2096+16000 \,{\mathrm e}^{4}\right) x}{20 \left(8 \,{\mathrm e}^{4}+1\right)}}{20 x^{2}-109 x -100}$&$48$\\ \hline \end{longtable}"," ",0,"2/(8*exp(4)+1)*(-(80*exp(4)+10)/(4*x-25)-3/5/(4+5*x))","A"
2153,1,24,24,0.055000," ","int((3*x^5-5*x^4+x^3-3*x^2)/(x^3-3*x^2+3*x-1)/exp(1)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{3} \left(x^{2}+1\right) {\mathrm e}^{-4}}{x^{2}-2 x +1}$&$24$\\ norman&$\frac{\left({\mathrm e}^{-1} x^{3}+{\mathrm e}^{-1} x^{5}\right) {\mathrm e}^{-3}}{\left(x -1\right)^{2}}$&$28$\\ default&${\mathrm e}^{-4} \left(x^{3}+2 x^{2}+4 x +\frac{8}{x -1}+\frac{2}{\left(x -1\right)^{2}}\right)$&$32$\\ risch&${\mathrm e}^{-4} x^{3}+2 x^{2} {\mathrm e}^{-4}+4 x \,{\mathrm e}^{-4}+\frac{{\mathrm e}^{-4} \left(8 x -6\right)}{x^{2}-2 x +1}$&$38$\\ \hline \end{longtable}"," ",0,"x^3*(x^2+1)/exp(1)^4/(x^2-2*x+1)","A"
2154,1,45,33,0.428000," ","int(((x^2*ln(2)-x^3)*ln(-4*x/(ln(2)-x))+(5*ln(2)-5*x)*ln(5)+(16*x^2+x+4)*ln(2)-15*x^3-4*x)/(x^2*ln(2)-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(-\frac{4 x}{\ln \left(2\right)-x}\right)+\frac{x \ln \left(x \right)-\ln \left(x -\ln \left(2\right)\right) x +15 x^{2}-5 \ln \left(5\right)-4}{x}$&$45$\\ norman&$\frac{x^{2} \ln \left(-\frac{4 x}{\ln \left(2\right)-x}\right)+x \ln \left(-\frac{4 x}{\ln \left(2\right)-x}\right)+15 x^{2}-5 \ln \left(5\right)-4}{x}$&$46$\\ derivativedivides&$-4 \ln \left(2\right) \left(-\frac{\ln \left(4+\frac{4 \ln \left(2\right)}{x -\ln \left(2\right)}\right) \left(4+\frac{4 \ln \left(2\right)}{x -\ln \left(2\right)}\right) \left(x -\ln \left(2\right)\right)}{16 \ln \left(2\right)}-\frac{4}{\ln \left(2\right)^{2} \left(4+\frac{4 \ln \left(2\right)}{x -\ln \left(2\right)}\right)}-\frac{5 \ln \left(5\right)}{\ln \left(2\right)^{2} \left(4+\frac{4 \ln \left(2\right)}{x -\ln \left(2\right)}\right)}-\frac{\ln \left(4+\frac{4 \ln \left(2\right)}{x -\ln \left(2\right)}\right)}{4 \ln \left(2\right)}-\frac{15 \left(x -\ln \left(2\right)\right)}{4 \ln \left(2\right)}\right)$&$126$\\ default&$-4 \ln \left(2\right) \left(-\frac{\ln \left(4+\frac{4 \ln \left(2\right)}{x -\ln \left(2\right)}\right) \left(4+\frac{4 \ln \left(2\right)}{x -\ln \left(2\right)}\right) \left(x -\ln \left(2\right)\right)}{16 \ln \left(2\right)}-\frac{4}{\ln \left(2\right)^{2} \left(4+\frac{4 \ln \left(2\right)}{x -\ln \left(2\right)}\right)}-\frac{5 \ln \left(5\right)}{\ln \left(2\right)^{2} \left(4+\frac{4 \ln \left(2\right)}{x -\ln \left(2\right)}\right)}-\frac{\ln \left(4+\frac{4 \ln \left(2\right)}{x -\ln \left(2\right)}\right)}{4 \ln \left(2\right)}-\frac{15 \left(x -\ln \left(2\right)\right)}{4 \ln \left(2\right)}\right)$&$126$\\ \hline \end{longtable}"," ",0,"x*ln(-4*x/(ln(2)-x))+(x*ln(x)-ln(x-ln(2))*x+15*x^2-5*ln(5)-4)/x","A"
2155,1,17,31,0.029000," ","int((exp(x)+1)*exp(-exp(x)+2-x)+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 x -{\mathrm e}^{-{\mathrm e}^{x}+2-x}$&$17$\\ risch&$2 x -{\mathrm e}^{-{\mathrm e}^{x}+2-x}$&$17$\\ default&$2 x -{\mathrm e}^{2} \expIntegralEi \left(1, {\mathrm e}^{x}\right)+{\mathrm e}^{2} \left(-{\mathrm e}^{-{\mathrm e}^{x}} {\mathrm e}^{-x}+\expIntegralEi \left(1, {\mathrm e}^{x}\right)\right)$&$32$\\ \hline \end{longtable}"," ",0,"2*x-exp(-exp(x)+2-x)","A"
2156,1,35,26,0.648000," ","int((4*x^2+8*x+4)/((x^2+4*x+5)*ln((5*x^2+20*x+25)*ln(3/25)+10*x^2+40*x+50)^2+((-2*x^2-8*x-10)*exp(3)-2*x^3-8*x^2-10*x)*ln((5*x^2+20*x+25)*ln(3/25)+10*x^2+40*x+50)+(x^2+4*x+5)*exp(3)^2+(2*x^3+8*x^2+10*x)*exp(3)+x^4+4*x^3+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4}{{\mathrm e}^{3}+x -\ln \left(\left(5 x^{2}+20 x +25\right) \ln \left(\frac{3}{25}\right)+10 x^{2}+40 x +50\right)}$&$35$\\ risch&$-\frac{4}{{\mathrm e}^{3}+x -\ln \left(\left(5 x^{2}+20 x +25\right) \left(\ln \left(3\right)-2 \ln \left(5\right)\right)+10 x^{2}+40 x +50\right)}$&$40$\\ \hline \end{longtable}"," ",0,"-4/(exp(3)+x-ln((5*x^2+20*x+25)*ln(3/25)+10*x^2+40*x+50))","A"
2157,1,28,25,0.291000," ","int(((-2*x*ln(5)*exp(4*x)+10*x)*ln(x^2*exp(4*x)/(ln(5)*exp(4*x)-5))+(1-2*x)*ln(5)*exp(4*x)+20*x^2+10*x-5)/(ln(5)*exp(4*x)-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -x^{2} \ln \left(\frac{x^{2} {\mathrm e}^{4 x}}{\ln \left(5\right) {\mathrm e}^{4 x}-5}\right)$&$28$\\ risch&$-x^{2} \ln \left({\mathrm e}^{4 x}\right)+x^{2} \ln \left(\ln \left(5\right) {\mathrm e}^{4 x}-5\right)-2 x^{2} \ln \left(x \right)+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{4 x}}{\ln \left(5\right) {\mathrm e}^{4 x}-5}\right) \mathrm{csgn}\left(\frac{i x^{2} {\mathrm e}^{4 x}}{\ln \left(5\right) {\mathrm e}^{4 x}-5}\right)}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2} {\mathrm e}^{4 x}}{\ln \left(5\right) {\mathrm e}^{4 x}-5}\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(5\right) {\mathrm e}^{4 x}-5}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{4 x}}{\ln \left(5\right) {\mathrm e}^{4 x}-5}\right)}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(5\right) {\mathrm e}^{4 x}-5}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{4 x}}{\ln \left(5\right) {\mathrm e}^{4 x}-5}\right)^{2}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{4 x}}{\ln \left(5\right) {\mathrm e}^{4 x}-5}\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{4 x}}{\ln \left(5\right) {\mathrm e}^{4 x}-5}\right)^{3}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{4 x}}{\ln \left(5\right) {\mathrm e}^{4 x}-5}\right) \mathrm{csgn}\left(\frac{i x^{2} {\mathrm e}^{4 x}}{\ln \left(5\right) {\mathrm e}^{4 x}-5}\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x^{2} {\mathrm e}^{4 x}}{\ln \left(5\right) {\mathrm e}^{4 x}-5}\right)^{3}}{2}+x$&$422$\\ \hline \end{longtable}"," ",0,"x-x^2*ln(x^2*exp(4*x)/(ln(5)*exp(4*x)-5))","A"
2158,1,129,19,0.113000," ","int((((x-1)*exp(x)^2+(x^3-x)*exp(x))*ln(3*exp(x)*x+3*x^3+3*x^2)+(-x-1)*exp(x)^2+(-3*x^2-2*x)*exp(x))/(exp(x)*x^2+x^4+x^3)/ln(3*exp(x)*x+3*x^3+3*x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i {\mathrm e}^{x}}{x \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+x^{2}+x \right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+x^{2}+x \right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+x^{2}+x \right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+x^{2}+x \right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+x^{2}+x \right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+x^{2}+x \right)\right)^{3}+2 i \ln \left(3\right)+2 i \ln \left(x \right)+2 i \ln \left({\mathrm e}^{x}+x^{2}+x \right)\right)}$&$129$\\ \hline \end{longtable}"," ",0,"2*I*exp(x)/x/(Pi*csgn(I*x)*csgn(I*(exp(x)+x^2+x))*csgn(I*x*(exp(x)+x^2+x))-Pi*csgn(I*x)*csgn(I*x*(exp(x)+x^2+x))^2-Pi*csgn(I*(exp(x)+x^2+x))*csgn(I*x*(exp(x)+x^2+x))^2+Pi*csgn(I*x*(exp(x)+x^2+x))^3+2*I*ln(3)+2*I*ln(x)+2*I*ln(exp(x)+x^2+x))","C"
2159,1,46,32,0.141000," ","int((((10*x^2-4)*exp(x-4)+10*x^2-4)*exp((5*x^2+2)/x)^2*ln(exp(x-4)+1)^2+2*x^2*exp(x-4)*exp((5*x^2+2)/x)^2*ln(exp(x-4)+1))/((x^2*exp(x-4)+x^2)*exp((5*x^2+2)/x)^2*ln(exp(x-4)+1)^2+(-2*x^2*exp(x-4)-2*x^2)*ln(2*ln(2))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10 x^{2}+4}{x}+\ln \left(\ln \left({\mathrm e}^{x -4}+1\right)^{2}-2 \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) {\mathrm e}^{-\frac{2 \left(5 x^{2}+2\right)}{x}}\right)$&$46$\\ \hline \end{longtable}"," ",0,"2*(5*x^2+2)/x+ln(ln(exp(x-4)+1)^2-2*(ln(2)+ln(ln(2)))*exp(-2*(5*x^2+2)/x))","A"
2160,1,21,20,0.800000," ","int((ln(3)+exp(4)+2*x+9)/(((exp(4)+x+9)*ln(3)+x*exp(4)+x^2+9*x)*ln(exp(4)+x+9)+((-exp(4)-x-9)*ln(3)-x*exp(4)-x^2-9*x)*ln(5/(ln(3)+x))+(-3*exp(4)-3*x-27)*ln(3)-3*x*exp(4)-3*x^2-27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left({\mathrm e}^{4}+x +9\right)-\ln \left(\frac{5}{\ln \left(3\right)+x}\right)-3\right)$&$21$\\ risch&$\ln \left(\ln \left({\mathrm e}^{4}+x +9\right)+\frac{i \left(2 i \ln \left(5\right)-2 i \ln \left(\ln \left(3\right)+x \right)+6 i\right)}{2}\right)$&$28$\\ \hline \end{longtable}"," ",0,"ln(ln(exp(4)+x+9)-ln(5/(ln(3)+x))-3)","A"
2161,1,40,24,0.110000," ","int(((-2*x^2+20)*exp(5/x)^2+(4*x^3+4*x^2-20*x)*exp(5/x)-2*x^4-5*x^3-3*x^2)*exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-2 x^{2}-x -2\right) {\mathrm e}^{x}-2 \,{\mathrm e}^{\frac{x^{2}+10}{x}}+4 x \,{\mathrm e}^{\frac{x^{2}+5}{x}}$&$40$\\ norman&$\frac{-2 \,{\mathrm e}^{x} x -{\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x^{3}-2 \,{\mathrm e}^{x} x \,{\mathrm e}^{\frac{10}{x}}+4 \,{\mathrm e}^{x} x^{2} {\mathrm e}^{\frac{5}{x}}}{x}$&$51$\\ \hline \end{longtable}"," ",0,"(-2*x^2-x-2)*exp(x)-2*exp((x^2+10)/x)+4*x*exp((x^2+5)/x)","A"
2162,1,32,30,0.392000," ","int(((4*x^3-8*x^2-5*x+3)*exp(ln(-1/5*x^2+1/5*x)-1/3*x^2+2/3*x-10/3)^2-3*x+3)/(3*x^3-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1-\left(-\frac{1}{5} x^{2}+\frac{1}{5} x \right)^{2} {\mathrm e}^{-\frac{20}{3}-\frac{2}{3} x^{2}+\frac{4}{3} x}}{x}$&$32$\\ default&$-\frac{x \,{\mathrm e}^{-\frac{20}{3}-\frac{2}{3} x^{2}+\frac{4}{3} x}}{25}+\frac{2 x^{2} {\mathrm e}^{-\frac{20}{3}-\frac{2}{3} x^{2}+\frac{4}{3} x}}{25}-\frac{x^{3} {\mathrm e}^{-\frac{20}{3}-\frac{2}{3} x^{2}+\frac{4}{3} x}}{25}+\frac{1}{x}$&$51$\\ risch&$\frac{1}{x}+\frac{25 \left(-\frac{1}{25} x +\frac{2}{25} x^{2}-\frac{1}{25} x^{3}\right) \left(-\frac{1}{5} x^{2}+\frac{1}{5} x \right)^{2} {\mathrm e}^{-\frac{20}{3}-\frac{2}{3} x^{2}+\frac{4}{3} x}}{x^{2} \left(x -1\right)^{2}}$&$51$\\ \hline \end{longtable}"," ",0,"(1-exp(ln(-1/5*x^2+1/5*x)-1/3*x^2+2/3*x-10/3)^2)/x","A"
2163,1,19,18,0.079000," ","int(((5*exp(exp(x)+x)-5*exp(1)-5)*ln(exp(exp(x)+x)-exp(1)-1)+(5*exp(x)*x+5*x)*exp(exp(x)+x))*exp(5*x*ln(exp(exp(x)+x)-exp(1)-1)-20)/(exp(exp(x)+x)-exp(1)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{{\mathrm e}^{x}+x}-{\mathrm e}-1\right)^{5 x} {\mathrm e}^{-20}$&$19$\\ \hline \end{longtable}"," ",0,"(exp(exp(x)+x)-exp(1)-1)^(5*x)*exp(-20)","A"
2164,1,43,28,0.059000," ","int((((-50*x^2-250*x)*ln(1+1/5*x)-125*x^4-300*x^3-240*x^2-64*x)*ln(x)+((50*x^2+250*x)*ln(2)+50*x^2+250*x)*ln(1+1/5*x)^2+(125*x^4+925*x^3+1740*x^2+1264*x+320)*ln(1+1/5*x))/((125*x^5+925*x^4+1740*x^3+1264*x^2+320*x)*ln(1+1/5*x)*ln(x)+((-125*x^5-925*x^4-1740*x^3-1264*x^2-320*x)*ln(2)-125*x^5-925*x^4-1740*x^3-1264*x^2-320*x)*ln(1+1/5*x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{25 x^{2}+40 x +16}+\ln \left(\ln \left(1+\frac{x}{5}\right)-\frac{\ln \left(x \right)}{1+\ln \left(2\right)}\right)-\ln \left(\ln \left(1+\frac{x}{5}\right)\right)$&$43$\\ \hline \end{longtable}"," ",0,"5/(25*x^2+40*x+16)+ln(ln(1+1/5*x)-ln(x)/(1+ln(2)))-ln(ln(1+1/5*x))","A"
2165,1,33,27,0.174000," ","int(((-x^2+6*x-9)*ln(x^2)+x^2*(ln(25/4)+I*Pi)+2*x^2-12*x+18)/((x^3-6*x^2+9*x)*ln(x^2)+(-x^3+3*x^2)*(ln(25/4)+I*Pi)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\ln \left(\ln \left(x^{2}\right)-\frac{x \left(2 \ln \left(5\right)-2 \ln \left(2\right)+i \pi \right)}{x -3}\right)$&$33$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(ln(x^2)-x*(2*ln(5)-2*ln(2)+I*Pi)/(x-3))","A"
2166,1,631,25,1.186000," ","int(((((-4*x-4)*ln(x)-4)*ln(3/2*x*ln(x))+(-4*x^2-6*x)*ln(x)-4*x)*exp(2*ln(3/2*x*ln(x))^2+4*x*ln(3/2*x*ln(x))+2*x^2+2*x)-x*ln(x))*exp(-exp(2*ln(3/2*x*ln(x))^2+4*x*ln(3/2*x*ln(x))+2*x^2+2*x)+2-x)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\ln \left(x \right)^{-4 \ln \left(2\right)} \ln \left(x \right)^{4 x} 3^{-2 i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)} 2^{2 i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)} x^{-2 i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)} x^{-4 \ln \left(2\right)} \ln \left(x \right)^{4 \ln \left(x \right)} x^{4 \ln \left(3\right)} 81^{x} \left(\frac{1}{16}\right)^{x} x^{4 x} 3^{-2 i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right)} 2^{2 i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right)} x^{-2 i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right)} \ln \left(x \right)^{-2 i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right)} \left(\frac{1}{16}\right)^{\ln \left(3\right)} \ln \left(x \right)^{4 \ln \left(3\right)} \ln \left(x \right)^{-2 i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)} 3^{2 i \pi  \,\mathrm{csgn}\left(i x \right)} 3^{2 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right)} 2^{-2 i \pi  \,\mathrm{csgn}\left(i x \right)} 2^{-2 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right)} x^{2 i \pi  \,\mathrm{csgn}\left(i x \right)} x^{2 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right)} \ln \left(x \right)^{2 i \pi  \,\mathrm{csgn}\left(i x \right)} \ln \left(x \right)^{2 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right)} {\mathrm e}^{2 x +2 \ln \left(3\right)^{2}+2 \ln \left(2\right)^{2}+2 \ln \left(\ln \left(x \right)\right)^{2}+2 \ln \left(x \right)^{2}+2 x^{2}} {\mathrm e}^{2 i x \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)} {\mathrm e}^{2 i x \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \right)} {\mathrm e}^{-\frac{\pi^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{4}}{2}} {\mathrm e}^{\pi^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{5}} {\mathrm e}^{-\frac{\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{4}}{2}} {\mathrm e}^{\pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{5}} {\mathrm e}^{-\frac{\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}}{2}} {\mathrm e}^{\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}} {\mathrm e}^{\pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}} {\mathrm e}^{-2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{4}} {\mathrm e}^{-2 i x \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}} {\mathrm e}^{-\frac{\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{6}}{2}} {\mathrm e}^{-2 i x \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)}+2-x}$&$631$\\ \hline \end{longtable}"," ",0,"exp(-ln(x)^(-4*ln(2))*ln(x)^(4*x)*3^(-2*I*Pi*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x)))*2^(2*I*Pi*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x)))*x^(-2*I*Pi*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x)))*x^(-4*ln(2))*ln(x)^(4*ln(x))*x^(4*ln(3))*81^x*(1/16)^x*x^(4*x)*3^(-2*I*Pi*csgn(I*x*ln(x)))*2^(2*I*Pi*csgn(I*x*ln(x)))*x^(-2*I*Pi*csgn(I*x*ln(x)))*ln(x)^(-2*I*Pi*csgn(I*x*ln(x)))*(1/16)^ln(3)*ln(x)^(4*ln(3))*ln(x)^(-2*I*Pi*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x)))*3^(2*I*Pi*csgn(I*x))*3^(2*I*Pi*csgn(I*ln(x)))*2^(-2*I*Pi*csgn(I*x))*2^(-2*I*Pi*csgn(I*ln(x)))*x^(2*I*Pi*csgn(I*x))*x^(2*I*Pi*csgn(I*ln(x)))*ln(x)^(2*I*Pi*csgn(I*x))*ln(x)^(2*I*Pi*csgn(I*ln(x)))*exp(2*x+2*ln(3)^2+2*ln(2)^2+2*ln(ln(x))^2+2*ln(x)^2+2*x^2)*exp(2*I*x*Pi*csgn(I*x*ln(x))^2*csgn(I*ln(x)))*exp(2*I*x*Pi*csgn(I*x*ln(x))^2*csgn(I*x))*exp(-1/2*Pi^2*csgn(I*ln(x))^2*csgn(I*x*ln(x))^4)*exp(Pi^2*csgn(I*ln(x))*csgn(I*x*ln(x))^5)*exp(-1/2*Pi^2*csgn(I*x)^2*csgn(I*x*ln(x))^4)*exp(Pi^2*csgn(I*x)*csgn(I*x*ln(x))^5)*exp(-1/2*Pi^2*csgn(I*x)^2*csgn(I*ln(x))^2*csgn(I*x*ln(x))^2)*exp(Pi^2*csgn(I*x)^2*csgn(I*ln(x))*csgn(I*x*ln(x))^3)*exp(Pi^2*csgn(I*x)*csgn(I*ln(x))^2*csgn(I*x*ln(x))^3)*exp(-2*Pi^2*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))^4)*exp(-2*I*x*Pi*csgn(I*x*ln(x))^3)*exp(-1/2*Pi^2*csgn(I*x*ln(x))^6)*exp(-2*I*x*Pi*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x)))+2-x)","C"
2167,1,16,17,0.027000," ","int(((3*x^3+9*x)*exp(-3*x/(x^2-3))+x^4-6*x^2+9)/((x^5-6*x^3+9*x)*ln(x)+(x^5-6*x^3+9*x)*exp(-3*x/(x^2-3))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)+{\mathrm e}^{-\frac{3 x}{x^{2}-3}}\right)$&$16$\\ \hline \end{longtable}"," ",0,"ln(ln(x)+exp(-3*x/(x^2-3)))","A"
2168,1,25,24,0.237000," ","int((7*x+7)*exp(ln(3)^2+x)*exp(-x*exp(ln(3)^2+x)-exp(2)+3)/(10*exp(-x*exp(ln(3)^2+x)-exp(2)+3)^2+20*ln(3)*exp(-x*exp(ln(3)^2+x)-exp(2)+3)+10*ln(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{7}{10 \left(\ln \left(3\right)+{\mathrm e}^{-x \,{\mathrm e}^{\ln \left(3\right)^{2}+x}-{\mathrm e}^{2}+3}\right)}$&$25$\\ risch&$\frac{7}{10 \left(\ln \left(3\right)+{\mathrm e}^{-x \,{\mathrm e}^{\ln \left(3\right)^{2}+x}-{\mathrm e}^{2}+3}\right)}$&$25$\\ \hline \end{longtable}"," ",0,"7/10/(ln(3)+exp(-x*exp(ln(3)^2+x)-exp(2)+3))","A"
2169,1,40,32,0.048000," ","int((-x^8-8*x^7+26*x^6+172*x^5-378*x^4+266*x^3+73*x^2-354*x+228)/(x^8+12*x^7+22*x^6-84*x^5+42*x^4-70*x^3-87*x^2+388*x-224),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\ln \left(x^{2}+6 x -7\right)+\ln \left(x^{6}+6 x^{5}-7 x^{4}-7 x^{2}-28 x +32\right)$&$40$\\ default&$-x +\ln \left(x^{6}+6 x^{5}-7 x^{4}-7 x^{2}-28 x +32\right)-\ln \left(x +7\right)-\ln \left(x -1\right)$&$41$\\ norman&$-x +\ln \left(x^{6}+6 x^{5}-7 x^{4}-7 x^{2}-28 x +32\right)-\ln \left(x +7\right)-\ln \left(x -1\right)$&$41$\\ \hline \end{longtable}"," ",0,"-x-ln(x^2+6*x-7)+ln(x^6+6*x^5-7*x^4-7*x^2-28*x+32)","A"
2170,1,15,14,0.360000," ","int(((32*x^2-32*x)*ln(2)*exp(x^2)*ln(x-1)-16*ln(2)*exp(x^2))/(9*x-9)/ln(x-1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16 \,{\mathrm e}^{x^{2}} \ln \left(2\right)}{9 \ln \left(x -1\right)}$&$15$\\ risch&$\frac{16 \,{\mathrm e}^{x^{2}} \ln \left(2\right)}{9 \ln \left(x -1\right)}$&$15$\\ \hline \end{longtable}"," ",0,"16/9*exp(x^2)/ln(x-1)*ln(2)","A"
2171,1,22,23,0.056000," ","int((-4*exp(-x+4)+8*x+5)/(4*exp(-x+4)+exp(5)+4*x^2+5*x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(4 \,{\mathrm e}^{-x +4}+{\mathrm e}^{5}+4 x^{2}+5 x -3\right)$&$22$\\ default&$\ln \left(4 \,{\mathrm e}^{-x +4}+{\mathrm e}^{5}+4 x^{2}+5 x -3\right)$&$22$\\ norman&$\ln \left(4 \,{\mathrm e}^{-x +4}+{\mathrm e}^{5}+4 x^{2}+5 x -3\right)$&$22$\\ risch&$-4+\ln \left(x^{2}+\frac{{\mathrm e}^{5}}{4}+\frac{5 x}{4}+{\mathrm e}^{-x +4}-\frac{3}{4}\right)$&$22$\\ \hline \end{longtable}"," ",0,"ln(4*exp(-x+4)+exp(5)+4*x^2+5*x-3)","A"
2172,1,12,13,0.019000," ","int(448/69*exp(-exp(4)+14/3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{32 \,{\mathrm e}^{-{\mathrm e}^{4}+\frac{14 x}{3}}}{23}$&$12$\\ derivativedivides&$\frac{32 \,{\mathrm e}^{-{\mathrm e}^{4}+\frac{14 x}{3}}}{23}$&$12$\\ default&$\frac{32 \,{\mathrm e}^{-{\mathrm e}^{4}+\frac{14 x}{3}}}{23}$&$12$\\ norman&$\frac{32 \,{\mathrm e}^{-{\mathrm e}^{4}+\frac{14 x}{3}}}{23}$&$12$\\ risch&$\frac{32 \,{\mathrm e}^{-{\mathrm e}^{4}+\frac{14 x}{3}}}{23}$&$12$\\ meijerg&$-\frac{32 \,{\mathrm e}^{-{\mathrm e}^{4}} \left(1-{\mathrm e}^{\frac{14 x}{3}}\right)}{23}$&$16$\\ \hline \end{longtable}"," ",0,"32/23*exp(-exp(4)+14/3*x)","A"
2173,1,15,14,0.056000," ","int(-2*exp(x+exp(2))^2+2*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{2 x +2 \,{\mathrm e}^{2}}+x^{2}$&$15$\\ norman&$x -{\mathrm e}^{2 x +2 \,{\mathrm e}^{2}}+x^{2}$&$15$\\ risch&$x -{\mathrm e}^{2 x +2 \,{\mathrm e}^{2}}+x^{2}$&$17$\\ derivativedivides&$\left(x +{\mathrm e}^{2}\right)^{2}+x +{\mathrm e}^{2}-{\mathrm e}^{2 x +2 \,{\mathrm e}^{2}}-2 \,{\mathrm e}^{2} \left(x +{\mathrm e}^{2}\right)$&$28$\\ \hline \end{longtable}"," ",0,"x-exp(x+exp(2))^2+x^2","A"
2174,1,36,32,0.158000," ","int(((-x^3-x^2-5*x+5)*ln((x*ln(ln(5))+x)/ln(ln(5)))-x^4-2*x^3-6*x^2-5)/((5*x^3+25*x)*ln((x*ln(ln(5))+x)/ln(ln(5)))+5*x^4+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{5}+\frac{\ln \left(x \right)}{5}-\frac{\ln \left(x^{2}+5\right)}{5}-\frac{\ln \left(x +\ln \left(\frac{x \ln \left(\ln \left(5\right)\right)+x}{\ln \left(\ln \left(5\right)\right)}\right)\right)}{5}$&$36$\\ norman&$\frac{\ln \left(\frac{x \ln \left(\ln \left(5\right)\right)+x}{\ln \left(\ln \left(5\right)\right)}\right)}{5}-\frac{x}{5}-\frac{\ln \left(x +\ln \left(\frac{x \ln \left(\ln \left(5\right)\right)+x}{\ln \left(\ln \left(5\right)\right)}\right)\right)}{5}-\frac{\ln \left(x^{2}+5\right)}{5}$&$48$\\ \hline \end{longtable}"," ",0,"-1/5*x+1/5*ln(x)-1/5*ln(x^2+5)-1/5*ln(x+ln((x*ln(ln(5))+x)/ln(ln(5))))","A"
2175,1,24,24,0.028000," ","int((8*ln(2)*ln(x)^3-x*ln(2)*exp(x)-4*x^2*ln(2)-5*x)/x/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 x}{\ln \left(2\right)}-2 x^{2}-{\mathrm e}^{x}+2 \ln \left(x \right)^{4}$&$24$\\ default&$\frac{-5 x -2 x^{2} \ln \left(2\right)-{\mathrm e}^{x} \ln \left(2\right)+2 \ln \left(2\right) \ln \left(x \right)^{4}}{\ln \left(2\right)}$&$31$\\ \hline \end{longtable}"," ",0,"-5*x/ln(2)-2*x^2-exp(x)+2*ln(x)^4","A"
2176,1,24,17,0.091000," ","int(((-x^2-1)*exp(5)^2-exp(5))*exp(12)/((x^4-2*x^3-x^2+2*x+1)*exp(5)^2+(-2*x^2+2*x+2)*exp(5)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{17} x}{x^{2} {\mathrm e}^{5}-x \,{\mathrm e}^{5}-{\mathrm e}^{5}-1}$&$24$\\ risch&$\frac{{\mathrm e}^{17} x}{x^{2} {\mathrm e}^{5}-x \,{\mathrm e}^{5}-{\mathrm e}^{5}-1}$&$24$\\ norman&$\frac{{\mathrm e}^{5} x \,{\mathrm e}^{12}}{x^{2} {\mathrm e}^{5}-x \,{\mathrm e}^{5}-{\mathrm e}^{5}-1}$&$26$\\ \hline \end{longtable}"," ",0,"exp(17)*x/(x^2*exp(5)-x*exp(5)-exp(5)-1)","A"
2177,1,51,26,0.394000," ","int((((-16*x+16)*exp(x)*ln(3*x-3)+(2*(16*x-16)*ln(2)+16*x^2-16*x)*exp(x)+16*x-32)*exp(exp(x))+(16*x-16)*ln(3*x-3)+2*(-16*x+16)*ln(2)+(2-x)*exp(1)-32*x^2+48*x)/(16*x-16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(3 x -3\right) x -\frac{x \,{\mathrm e}}{16}-2 x \ln \left(2\right)-x^{2}+\frac{{\mathrm e} \ln \left(x -1\right)}{16}+\left(x +2 \ln \left(2\right)-\ln \left(3 x -3\right)\right) {\mathrm e}^{{\mathrm e}^{x}}$&$51$\\ \hline \end{longtable}"," ",0,"ln(3*x-3)*x-1/16*x*exp(1)-2*x*ln(2)-x^2+1/16*exp(1)*ln(x-1)+(x+2*ln(2)-ln(3*x-3))*exp(exp(x))","A"
2178,1,8,9,0.037000," ","int(12058624*x^22/exp(3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$524288 x^{23} {\mathrm e}^{-6}$&$8$\\ gosper&$524288 x^{23} {\mathrm e}^{-6}$&$10$\\ default&$524288 x^{23} {\mathrm e}^{-6}$&$10$\\ norman&$524288 x^{23} {\mathrm e}^{-6}$&$10$\\ \hline \end{longtable}"," ",0,"524288*x^23*exp(-6)","A"
2179,1,29,22,0.129000," ","int(((-2*x*ln(1/x)-3*x^2-9*x-1)*ln(x)^2+3*x^2*ln(x)-x^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{3}+x^{2} \ln \left(x \right)-5 x^{2}-x +\frac{x^{3}}{\ln \left(x \right)}$&$29$\\ derivativedivides&$-x -5 x^{2}-x^{3}-x^{2} \ln \left(\frac{1}{x}\right)+\frac{x^{3}}{\ln \left(x \right)}$&$32$\\ default&$-x -5 x^{2}-x^{3}-x^{2} \ln \left(\frac{1}{x}\right)+\frac{x^{3}}{\ln \left(x \right)}$&$32$\\ \hline \end{longtable}"," ",0,"-x^3+x^2*ln(x)-5*x^2-x+x^3/ln(x)","A"
2180,1,26,19,0.029000," ","int((8*x+12)*exp(4)+3*exp(1)+12*x^2+24*x+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \left(4 x \,{\mathrm e}^{4}+4 x^{2}+3 \,{\mathrm e}+12 \,{\mathrm e}^{4}+12 x +4\right)$&$26$\\ norman&$4 x^{3}+\left(4 \,{\mathrm e}^{4}+12\right) x^{2}+\left(3 \,{\mathrm e}+12 \,{\mathrm e}^{4}+4\right) x$&$29$\\ default&${\mathrm e}^{4} \left(4 x^{2}+12 x \right)+3 x \,{\mathrm e}+4 x^{3}+12 x^{2}+4 x$&$32$\\ risch&$4 x^{2} {\mathrm e}^{4}+12 x \,{\mathrm e}^{4}+3 x \,{\mathrm e}+4 x^{3}+12 x^{2}+4 x$&$32$\\ \hline \end{longtable}"," ",0,"x*(4*x*exp(4)+4*x^2+3*exp(1)+12*exp(4)+12*x+4)","A"
2181,1,24,31,0.051000," ","int(((-2*x^6+2*x^4+14*x^3-14*x)*ln(-x^3+7)^2+6*x^4*ln(-x^3+7)+4*x^4-28*x)/((x^5-7*x^2)*ln(-x^3+7)^2-2*x^3+14),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x^{2}+\ln \left(\ln \left(-x^{3}+7\right)^{2} x^{2}-2\right)$&$24$\\ risch&$-x^{2}+2 \ln \left(x \right)+\ln \left(\ln \left(-x^{3}+7\right)^{2}-\frac{2}{x^{2}}\right)$&$28$\\ \hline \end{longtable}"," ",0,"-x^2+ln(ln(-x^3+7)^2*x^2-2)","A"
2182,1,27,25,0.062000," ","int(1/5*(((-4*x^4+12*x^3+8*x^2-16*x)*exp(-1/5*x^4+4/5*x^3+4/5*x^2-16/5*x-14/5)*ln(x)*ln(ln(x))+5*exp(-1/5*x^4+4/5*x^3+4/5*x^2-16/5*x-14/5))*exp(exp(-1/5*x^4+4/5*x^3+4/5*x^2-16/5*x-14/5)*ln(ln(x)))+5*x*ln(x))/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x \right)^{{\mathrm e}^{-\frac{1}{5} x^{4}+\frac{4}{5} x^{3}+\frac{4}{5} x^{2}-\frac{16}{5} x -\frac{14}{5}}}$&$27$\\ \hline \end{longtable}"," ",0,"x+ln(x)^exp(-1/5*x^4+4/5*x^3+4/5*x^2-16/5*x-14/5)","A"
2183,1,18,22,0.026000," ","int((4*ln(x)+(4*x+16)*exp(x)+20*x-7)/(x*ln(x)+4*exp(x)*x+4*x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 \ln \left(x \right)+\ln \left(\ln \left(x \right)+4 \,{\mathrm e}^{x}+4 x -2\right)$&$18$\\ risch&$4 \ln \left(x \right)+\ln \left(\ln \left(x \right)+4 \,{\mathrm e}^{x}+4 x -2\right)$&$18$\\ \hline \end{longtable}"," ",0,"4*ln(x)+ln(ln(x)+4*exp(x)+4*x-2)","A"
2184,1,25,20,0.053000," ","int((576*ln(x)^2+(480*x-480)*ln(x)-240*x+480)/((144*x^2-576*x+576)*ln(x)^2+(120*x^3-480*x^2+480*x)*ln(x)+25*x^4-100*x^3+100*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{48 \ln \left(x \right)}{12 x \ln \left(x \right)+5 x^{2}-24 \ln \left(x \right)-10 x}$&$25$\\ risch&$-\frac{4}{x -2}+\frac{20 x}{\left(x -2\right) \left(5 x +12 \ln \left(x \right)\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-48*ln(x)/(12*x*ln(x)+5*x^2-24*ln(x)-10*x)","A"
2185,0,0,22,0.030000," ","int((((-2*x^4+2*x)*ln(-x^4+x)+2*x^5-2*x^2)*ln(ln(-x^4+x)-x)+(8*x^4-8*x)*ln(-x^4+x)-7*x^5-4*x^4+7*x^2+x)/((x^3-1)*ln(-x^4+x)-x^4+x),x)","\[\int \frac{\left(\left(-2 x^{4}+2 x \right) \ln \left(-x^{4}+x \right)+2 x^{5}-2 x^{2}\right) \ln \left(\ln \left(-x^{4}+x \right)-x \right)+\left(8 x^{4}-8 x \right) \ln \left(-x^{4}+x \right)-7 x^{5}-4 x^{4}+7 x^{2}+x}{\left(x^{3}-1\right) \ln \left(-x^{4}+x \right)-x^{4}+x}\, dx\]"," ",0,"int((((-2*x^4+2*x)*ln(-x^4+x)+2*x^5-2*x^2)*ln(ln(-x^4+x)-x)+(8*x^4-8*x)*ln(-x^4+x)-7*x^5-4*x^4+7*x^2+x)/((x^3-1)*ln(-x^4+x)-x^4+x),x)","F"
2186,1,20,22,0.052000," ","int((2*exp(16)^4-40*exp(16)^2-2*x^4+200)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}-\frac{{\mathrm e}^{64}-20 \,{\mathrm e}^{32}+100}{x^{2}}$&$20$\\ gosper&$-\frac{{\mathrm e}^{64}+x^{4}-20 \,{\mathrm e}^{32}+100}{x^{2}}$&$21$\\ norman&$\frac{-{\mathrm e}^{64}-x^{4}+20 \,{\mathrm e}^{32}-100}{x^{2}}$&$24$\\ risch&$-x^{2}-\frac{{\mathrm e}^{64}}{x^{2}}+\frac{20 \,{\mathrm e}^{32}}{x^{2}}-\frac{100}{x^{2}}$&$26$\\ \hline \end{longtable}"," ",0,"-x^2-(exp(64)-20*exp(32)+100)/x^2","A"
2187,1,12,15,0.057000," ","int((-160*x-80)*exp(3-x)^2/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{80 \,{\mathrm e}^{6-2 x}}{x}$&$12$\\ gosper&$\frac{80 \,{\mathrm e}^{6-2 x}}{x}$&$14$\\ derivativedivides&$\frac{80 \,{\mathrm e}^{6-2 x}}{x}$&$14$\\ default&$\frac{80 \,{\mathrm e}^{6-2 x}}{x}$&$14$\\ norman&$\frac{80 \,{\mathrm e}^{6-2 x}}{x}$&$14$\\ \hline \end{longtable}"," ",0,"80*exp(6-2*x)/x","A"
2188,1,31,23,0.041000," ","int((ln(1/2*x)^4-4*ln(1/2*x)^3-2*x^2*ln(1/2*x)^2-4*x^2*ln(1/2*x)-3*x^4-x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(\frac{x}{2}\right)^{4}}{x}-2 x \ln \left(\frac{x}{2}\right)^{2}-x^{3}-\ln \left(x \right)$&$31$\\ derivativedivides&$-\frac{\ln \left(\frac{x}{2}\right)^{4}}{x}-2 x \ln \left(\frac{x}{2}\right)^{2}-x^{3}-\ln \left(\frac{x}{2}\right)$&$33$\\ default&$-\frac{\ln \left(\frac{x}{2}\right)^{4}}{x}-2 x \ln \left(\frac{x}{2}\right)^{2}-x^{3}-\ln \left(\frac{x}{2}\right)$&$33$\\ norman&$\frac{-x^{4}-\ln \left(\frac{x}{2}\right)^{4}-2 x^{2} \ln \left(\frac{x}{2}\right)^{2}}{x}-\ln \left(x \right)$&$35$\\ \hline \end{longtable}"," ",0,"-1/x*ln(1/2*x)^4-2*x*ln(1/2*x)^2-x^3-ln(x)","A"
2189,1,81,29,0.329000," ","int(((-2*x^3*exp(3/x)^2-24*exp(3/x))*ln(x*exp(exp(x)))*ln(ln(x*exp(exp(x))))+(16*x^3-24*x^2)*exp(3/x)*ln(x*exp(exp(x)))+(x^4*exp(3/x)^2+8*x^2*exp(3/x))*exp(x)+x^3*exp(3/x)^2+8*x*exp(3/x))*exp((exp(3/x)*ln(ln(x*exp(exp(x))))+x^2*exp(3/x))/(x^2*exp(3/x)+8))/(x^6*exp(3/x)^2+16*x^4*exp(3/x)+64*x^2)/ln(x*exp(exp(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{\frac{3}{x}} \left(x^{2}+\ln \left(\ln \left(x \right)+\ln \left({\mathrm e}^{{\mathrm e}^{x}}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{x}}\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{x}}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{{\mathrm e}^{x}}\right)+\mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{x}}\right)\right)}{2}\right)\right)}{x^{2} {\mathrm e}^{\frac{3}{x}}+8}}$&$81$\\ \hline \end{longtable}"," ",0,"exp(exp(3/x)*(x^2+ln(ln(x)+ln(exp(exp(x)))-1/2*I*Pi*csgn(I*x*exp(exp(x)))*(-csgn(I*x*exp(exp(x)))+csgn(I*x))*(-csgn(I*x*exp(exp(x)))+csgn(I*exp(exp(x))))))/(x^2*exp(3/x)+8))","C"
2190,1,16,19,0.023000," ","int(1/4*(4*ln(2)-1)/x^2/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{4 \ln \left(2\right)-1}{4 x \ln \left(2\right)}$&$16$\\ default&$-\frac{4 \ln \left(2\right)-1}{4 x \ln \left(2\right)}$&$16$\\ norman&$-\frac{4 \ln \left(2\right)-1}{4 x \ln \left(2\right)}$&$16$\\ risch&$-\frac{1}{x}+\frac{1}{4 x \ln \left(2\right)}$&$16$\\ \hline \end{longtable}"," ",0,"-1/4/x*(4*ln(2)-1)/ln(2)","A"
2191,1,21,25,0.101000," ","int(((-3*ln(5)^2+12*x^2+3*x)*exp((ln(5)^2+4*x*ln(5)+4*x^2)/x)-59*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-59 x +3 \,{\mathrm e}^{\frac{\left(\ln \left(5\right)+2 x \right)^{2}}{x}} x$&$21$\\ norman&$-59 x +3 \,{\mathrm e}^{\frac{\ln \left(5\right)^{2}+4 x \ln \left(5\right)+4 x^{2}}{x}} x$&$28$\\ \hline \end{longtable}"," ",0,"-59*x+3*exp((ln(5)+2*x)^2/x)*x","A"
2192,1,26,23,0.370000," ","int(((3-x)*ln(3-x)+(x-3)*ln(5)-3*x^3-x^2+33*x-12)*exp(-x*ln(3-x)+x*ln(5)-x^3-5*x^2+4*x)/(x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(3-x \right)^{-x} 5^{x} {\mathrm e}^{-x \left(x^{2}+5 x -4\right)}$&$26$\\ norman&${\mathrm e}^{-x \ln \left(3-x \right)+x \ln \left(5\right)-x^{3}-5 x^{2}+4 x}$&$29$\\ \hline \end{longtable}"," ",0,"(3-x)^(-x)*5^x*exp(-x*(x^2+5*x-4))","A"
2193,1,565,35,0.288000," ","int((((-4*x^4-2*x^3-8*x^2)*ln(x)+(4*x^4+2*x^3+8*x^2)*ln((2*x^2+x+4)/x^2)-2*x^4-6*x^3-16*x^2-9*x-4)*exp(-x^2*ln(x)+x^2*ln((2*x^2+x+4)/x^2)-x)-2*x^4-x^3-4*x^2)/((2*x^3+x^2+4*x)*exp(-x^2*ln(x)+x^2*ln((2*x^2+x+4)/x^2)-x)+2*x^4+x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(x^{2}+\frac{1}{2} x +2\right)-2 x^{2} \ln \left(x \right)+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\frac{1}{2} x +2\right)}{x^{2}}\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2}+\frac{1}{2} x +2\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\frac{1}{2} x +2\right)}{x^{2}}\right)^{2}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x^{2}+\frac{1}{2} x +2\right)}{x^{2}}\right)^{3}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left(x^{2}+\frac{1}{2} x +2\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\frac{1}{2} x +2\right)}{x^{2}}\right)}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+x^{2} \ln \left(2\right)-x -\ln \left(x \right)-x^{2} \left(\ln \left(2\right)-2 \ln \left(x \right)+\ln \left(x^{2}+\frac{1}{2} x +2\right)+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(x^{2}+\frac{1}{2} x +2\right)}{x^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i \left(x^{2}+\frac{1}{2} x +2\right)}{x^{2}}\right)+\mathrm{csgn}\left(\frac{i}{x^{2}}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(x^{2}+\frac{1}{2} x +2\right)}{x^{2}}\right)+\mathrm{csgn}\left(i \left(x^{2}+\frac{1}{2} x +2\right)\right)\right)}{2}\right)+\ln \left(x +x^{-x^{2}} x^{-2 x^{2}} 2^{x^{2}} \left(x^{2}+\frac{1}{2} x +2\right)^{x^{2}} {\mathrm e}^{\frac{x \left(i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-i x \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+\frac{1}{2} x +2\right)}{x^{2}}\right)^{3}+i x \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+\frac{1}{2} x +2\right)}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)+i x \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+\frac{1}{2} x +2\right)}{x^{2}}\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+\frac{1}{2} x +2\right)\right)-i x \pi  \,\mathrm{csgn}\left(\frac{i \left(x^{2}+\frac{1}{2} x +2\right)}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left(x^{2}+\frac{1}{2} x +2\right)\right)-2\right)}{2}}\right)$&$565$\\ \hline \end{longtable}"," ",0,"x^2*ln(x^2+1/2*x+2)-2*x^2*ln(x)+1/2*I*Pi*x^2*csgn(I/x^2)*csgn(I/x^2*(x^2+1/2*x+2))^2+1/2*I*Pi*x^2*csgn(I*(x^2+1/2*x+2))*csgn(I/x^2*(x^2+1/2*x+2))^2-1/2*I*Pi*x^2*csgn(I/x^2*(x^2+1/2*x+2))^3-1/2*I*Pi*x^2*csgn(I/x^2)*csgn(I*(x^2+1/2*x+2))*csgn(I/x^2*(x^2+1/2*x+2))+1/2*I*Pi*x^2*csgn(I*x^2)^3+1/2*I*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)-I*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2+x^2*ln(2)-x-ln(x)-x^2*(ln(2)-2*ln(x)+ln(x^2+1/2*x+2)+1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I/x^2*(x^2+1/2*x+2))*(-csgn(I/x^2*(x^2+1/2*x+2))+csgn(I/x^2))*(-csgn(I/x^2*(x^2+1/2*x+2))+csgn(I*(x^2+1/2*x+2))))+ln(x+x^(-x^2)*x^(-2*x^2)*2^(x^2)*(x^2+1/2*x+2)^(x^2)*exp(1/2*x*(I*x*Pi*csgn(I*x^2)^3-2*I*x*Pi*csgn(I*x)*csgn(I*x^2)^2+I*x*Pi*csgn(I*x^2)*csgn(I*x)^2-I*x*Pi*csgn(I/x^2*(x^2+1/2*x+2))^3+I*x*Pi*csgn(I/x^2*(x^2+1/2*x+2))^2*csgn(I/x^2)+I*x*Pi*csgn(I/x^2*(x^2+1/2*x+2))^2*csgn(I*(x^2+1/2*x+2))-I*x*Pi*csgn(I/x^2*(x^2+1/2*x+2))*csgn(I/x^2)*csgn(I*(x^2+1/2*x+2))-2)))","C"
2194,1,115,25,0.304000," ","int(((ln(x)*ln(ln(x))^2+(2*x^2-4)*ln(x)*ln(ln(x))-ln(x)*ln(1/3*x^3)^2+(x^4-4*x^2+4)*ln(x))*ln(-ln(ln(x))^2+(-2*x^2+4)*ln(ln(x))+ln(1/3*x^3)^2-x^4+4*x^2-4)+(4*x^2*ln(x)+2)*ln(ln(x))-6*ln(x)*ln(1/3*x^3)+(4*x^4-8*x^2)*ln(x)+2*x^2-4)*exp(x*ln(-ln(ln(x))^2+(-2*x^2+4)*ln(ln(x))+ln(1/3*x^3)^2-x^4+4*x^2-4))/(ln(x)*ln(ln(x))^2+(2*x^2-4)*ln(x)*ln(ln(x))-ln(x)*ln(1/3*x^3)^2+(x^4-4*x^2+4)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-\ln \left(\ln \left(x \right)\right)^{2}+\left(-2 x^{2}+4\right) \ln \left(\ln \left(x \right)\right)+\left(-\ln \left(3\right)+3 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}\right)^{2}-x^{4}+4 x^{2}-4\right)^{x}$&$115$\\ \hline \end{longtable}"," ",0,"(-ln(ln(x))^2+(-2*x^2+4)*ln(ln(x))+(-ln(3)+3*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^3)*(-csgn(I*x^3)+csgn(I*x^2))*(-csgn(I*x^3)+csgn(I*x)))^2-x^4+4*x^2-4)^x","C"
2195,1,16,20,0.020000," ","int(1/4*(6*x^2-86*x+45)*ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(2 x^{2}-43 x +45\right) \ln \left(3\right)}{4}$&$16$\\ default&$\frac{\left(2 x^{3}-43 x^{2}+45 x \right) \ln \left(3\right)}{4}$&$19$\\ norman&$\frac{45 x \ln \left(3\right)}{4}-\frac{43 x^{2} \ln \left(3\right)}{4}+\frac{x^{3} \ln \left(3\right)}{2}$&$21$\\ risch&$\frac{45 x \ln \left(3\right)}{4}-\frac{43 x^{2} \ln \left(3\right)}{4}+\frac{x^{3} \ln \left(3\right)}{2}$&$21$\\ \hline \end{longtable}"," ",0,"1/4*x*(2*x^2-43*x+45)*ln(3)","A"
2196,1,33,23,0.110000," ","int(((50*x^7*exp(4)-25*x^8-200*x^7)*exp(x)^2+((10*x^3+30*x^2)*exp(4)-10*x^4-80*x^3-120*x^2)*exp(x))/(25*x^10*exp(x)^2-20*x^5*exp(x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(20-5 \,{\mathrm e}^{4}\right) x^{3} {\mathrm e}^{x}+5 \,{\mathrm e}^{x} x^{4}}{5 x^{5} {\mathrm e}^{x}-2}$&$33$\\ risch&$\frac{4-{\mathrm e}^{4}+x}{x^{2}}-\frac{2 \left({\mathrm e}^{4}-x -4\right)}{x^{2} \left(5 x^{5} {\mathrm e}^{x}-2\right)}$&$36$\\ \hline \end{longtable}"," ",0,"((20-5*exp(4))*x^3*exp(x)+5*exp(x)*x^4)/(5*x^5*exp(x)-2)","A"
2197,1,34,26,0.062000," ","int((-8*x*exp(x)^2*exp(x^2)^2*ln(x)+(8*x*ln(3)+8*x+4)*exp(x)^2*exp(x^2)^2+(-40*x^2-40*x)*exp(x)^2*exp(x^2))*exp(-exp(x)^2*exp(x^2)/(exp(x^2)*ln(x)+(-ln(3)-1)*exp(x^2)+5))/(x*exp(x^2)^2*ln(x)^2+((-2*x*ln(3)-2*x)*exp(x^2)^2+10*exp(x^2)*x)*ln(x)+(x*ln(3)^2+2*x*ln(3)+x)*exp(x^2)^2+(-10*x*ln(3)-10*x)*exp(x^2)+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{\frac{{\mathrm e}^{x \left(2+x \right)}}{-{\mathrm e}^{x^{2}} \ln \left(x \right)+{\mathrm e}^{x^{2}} \ln \left(3\right)+{\mathrm e}^{x^{2}}-5}}$&$34$\\ \hline \end{longtable}"," ",0,"4*exp(exp(x*(2+x))/(-exp(x^2)*ln(x)+exp(x^2)*ln(3)+exp(x^2)-5))","A"
2198,1,27,26,0.156000," ","int((((18*exp(3)-27*x)*ln(2*ln(2))+(-18*exp(3)+27*x)*exp(x))*ln(-ln(2*ln(2))+exp(x))+(9*x*exp(3)-9*x^2)*exp(x))/((x^3*exp(3)^2-2*x^4*exp(3)+x^5)*ln(2*ln(2))+(-x^3*exp(3)^2+2*x^4*exp(3)-x^5)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{9 \ln \left(-\ln \left(2\right)-\ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)}{x^{2} \left(-x +{\mathrm e}^{3}\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-9/x^2/(-x+exp(3))*ln(-ln(2)-ln(ln(2))+exp(x))","A"
2199,1,20,14,0.029000," ","int(1/6*((x^2+2*x)*exp(x)*exp(x^2)^4-8*x^3+2*x)/exp(x^2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{x} x^{2}}{6}+\frac{{\mathrm e}^{-4 x^{2}} x^{2}}{6}$&$20$\\ risch&$\frac{{\mathrm e}^{x} x^{2}}{6}+\frac{{\mathrm e}^{-4 x^{2}} x^{2}}{6}$&$20$\\ meijerg&$\frac{\left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}}{18}-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{6}+\frac{\left(8 x^{2}+2\right) {\mathrm e}^{-4 x^{2}}}{48}-\frac{{\mathrm e}^{-4 x^{2}}}{24}$&$48$\\ \hline \end{longtable}"," ",0,"1/6*exp(x)*x^2+1/6/exp(x^2)^4*x^2","A"
2200,1,51,15,0.079000," ","int((3*exp(1)^4+(12*x+4)*exp(1)^3+(18*x^2+18*x+2)*exp(1)^2+(12*x^3+24*x^2+8*x)*exp(1)+3*x^4+10*x^3+9*x^2+2*x)*exp(3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{4}+4 x \,{\mathrm e}^{3}+6 x^{2} {\mathrm e}^{2}+4 x^{3} {\mathrm e}+x^{4}+2 \,{\mathrm e}^{2} x +4 x^{2} {\mathrm e}+2 x^{3}+x^{2}\right) {\mathrm e}^{3 x}$&$51$\\ gosper&$\left({\mathrm e}^{4}+4 x \,{\mathrm e}^{3}+6 x^{2} {\mathrm e}^{2}+4 x^{3} {\mathrm e}+x^{4}+2 \,{\mathrm e}^{2} x +4 x^{2} {\mathrm e}+2 x^{3}+x^{2}\right) {\mathrm e}^{3 x}$&$59$\\ norman&${\mathrm e}^{3 x} x^{4}+{\mathrm e}^{3 x} {\mathrm e}^{4}+\left(4 \,{\mathrm e}^{3}+2 \,{\mathrm e}^{2}\right) x \,{\mathrm e}^{3 x}+\left(4 \,{\mathrm e}+2\right) x^{3} {\mathrm e}^{3 x}+\left(6 \,{\mathrm e}^{2}+4 \,{\mathrm e}+1\right) x^{2} {\mathrm e}^{3 x}$&$72$\\ meijerg&$-\frac{\left(-\frac{4 \,{\mathrm e}}{9}-\frac{10}{27}\right) \left(6-\frac{\left(-108 x^{3}+108 x^{2}-72 x +24\right) {\mathrm e}^{3 x}}{4}\right)}{3}-\frac{\left(-4 \,{\mathrm e}^{3}-6 \,{\mathrm e}^{2}-\frac{8 \,{\mathrm e}}{3}-\frac{2}{3}\right) \left(1-\frac{\left(-6 x +2\right) {\mathrm e}^{3 x}}{2}\right)}{3}-\frac{8}{27}+\frac{\left(405 x^{4}-540 x^{3}+540 x^{2}-360 x +120\right) {\mathrm e}^{3 x}}{405}-\frac{\left(2 \,{\mathrm e}^{2}+\frac{8 \,{\mathrm e}}{3}+1\right) \left(2-\frac{\left(27 x^{2}-18 x +6\right) {\mathrm e}^{3 x}}{3}\right)}{3}-{\mathrm e}^{4} \left(1-{\mathrm e}^{3 x}\right)-\frac{4 \,{\mathrm e}^{3} \left(1-{\mathrm e}^{3 x}\right)}{3}-\frac{2 \,{\mathrm e}^{2} \left(1-{\mathrm e}^{3 x}\right)}{3}$&$155$\\ derivativedivides&${\mathrm e}^{3 x} x^{4}+2 x^{3} {\mathrm e}^{3 x}+x^{2} {\mathrm e}^{3 x}+\frac{2 \,{\mathrm e}^{3 x} {\mathrm e}^{2}}{3}+\frac{4 \,{\mathrm e}^{3 x} {\mathrm e}^{3}}{3}+{\mathrm e}^{3 x} {\mathrm e}^{4}+\frac{8 \,{\mathrm e} \left(3 x \,{\mathrm e}^{3 x}-{\mathrm e}^{3 x}\right)}{9}+\frac{8 \,{\mathrm e} \left(9 x^{2} {\mathrm e}^{3 x}-6 x \,{\mathrm e}^{3 x}+2 \,{\mathrm e}^{3 x}\right)}{9}+\frac{4 \,{\mathrm e} \left(27 x^{3} {\mathrm e}^{3 x}-27 x^{2} {\mathrm e}^{3 x}+18 x \,{\mathrm e}^{3 x}-6 \,{\mathrm e}^{3 x}\right)}{27}+2 \,{\mathrm e}^{2} \left(3 x \,{\mathrm e}^{3 x}-{\mathrm e}^{3 x}\right)+\frac{2 \,{\mathrm e}^{2} \left(9 x^{2} {\mathrm e}^{3 x}-6 x \,{\mathrm e}^{3 x}+2 \,{\mathrm e}^{3 x}\right)}{3}+\frac{4 \,{\mathrm e}^{3} \left(3 x \,{\mathrm e}^{3 x}-{\mathrm e}^{3 x}\right)}{3}$&$206$\\ default&${\mathrm e}^{3 x} x^{4}+2 x^{3} {\mathrm e}^{3 x}+x^{2} {\mathrm e}^{3 x}+\frac{2 \,{\mathrm e}^{3 x} {\mathrm e}^{2}}{3}+\frac{4 \,{\mathrm e}^{3 x} {\mathrm e}^{3}}{3}+{\mathrm e}^{3 x} {\mathrm e}^{4}+\frac{8 \,{\mathrm e} \left(3 x \,{\mathrm e}^{3 x}-{\mathrm e}^{3 x}\right)}{9}+\frac{8 \,{\mathrm e} \left(9 x^{2} {\mathrm e}^{3 x}-6 x \,{\mathrm e}^{3 x}+2 \,{\mathrm e}^{3 x}\right)}{9}+\frac{4 \,{\mathrm e} \left(27 x^{3} {\mathrm e}^{3 x}-27 x^{2} {\mathrm e}^{3 x}+18 x \,{\mathrm e}^{3 x}-6 \,{\mathrm e}^{3 x}\right)}{27}+2 \,{\mathrm e}^{2} \left(3 x \,{\mathrm e}^{3 x}-{\mathrm e}^{3 x}\right)+\frac{2 \,{\mathrm e}^{2} \left(9 x^{2} {\mathrm e}^{3 x}-6 x \,{\mathrm e}^{3 x}+2 \,{\mathrm e}^{3 x}\right)}{3}+\frac{4 \,{\mathrm e}^{3} \left(3 x \,{\mathrm e}^{3 x}-{\mathrm e}^{3 x}\right)}{3}$&$206$\\ \hline \end{longtable}"," ",0,"(exp(4)+4*x*exp(3)+6*x^2*exp(2)+4*x^3*exp(1)+x^4+2*exp(2)*x+4*x^2*exp(1)+2*x^3+x^2)*exp(3*x)","B"
2201,1,81,26,0.163000," ","int(((32*exp(x)+1440*x^2-960*x)*exp((-2*exp(x)^2+(-60*x^3+60*x^2)*exp(x)-450*x^6+900*x^5-450*x^4+16)/(exp(x)^2+(30*x^3-30*x^2)*exp(x)+225*x^6-450*x^5+225*x^4))-exp(x)^3+(-45*x^3+45*x^2)*exp(x)^2+(-675*x^6+1350*x^5-675*x^4)*exp(x)-3375*x^9+10125*x^8-10125*x^7+3375*x^6)/(exp(x)^3+(45*x^3-45*x^2)*exp(x)^2+(675*x^6-1350*x^5+675*x^4)*exp(x)+3375*x^9-10125*x^8+10125*x^7-3375*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -{\mathrm e}^{-\frac{2 \left(225 x^{6}-450 x^{5}+30 \,{\mathrm e}^{x} x^{3}+225 x^{4}-30 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}-8\right)}{225 x^{6}-450 x^{5}+30 \,{\mathrm e}^{x} x^{3}+225 x^{4}-30 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}}}$&$81$\\ \hline \end{longtable}"," ",0,"-x-exp(-2*(225*x^6-450*x^5+30*exp(x)*x^3+225*x^4-30*exp(x)*x^2+exp(2*x)-8)/(225*x^6-450*x^5+30*exp(x)*x^3+225*x^4-30*exp(x)*x^2+exp(2*x)))","B"
2202,1,22,24,0.098000," ","int(((2*(2-x)*ln(2)*exp(x)-x*ln(3)+x^3)*exp((-2*exp(x)*ln(2)+x*ln(3)+x^3)/x^2)-x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{1}{4}\right)^{\frac{{\mathrm e}^{x}}{x^{2}}} 3^{\frac{1}{x}} {\mathrm e}^{x}-\ln \left(x \right)$&$22$\\ norman&${\mathrm e}^{\frac{-2 \,{\mathrm e}^{x} \ln \left(2\right)+x \ln \left(3\right)+x^{3}}{x^{2}}}-\ln \left(x \right)$&$25$\\ \hline \end{longtable}"," ",0,"(1/4)^(exp(x)/x^2)*3^(1/x)*exp(x)-ln(x)","A"
2203,1,34,26,0.054000," ","int((4*x^2*ln(x)^2+(-36*x^4+840*x^3-4798*x^2-12220)*ln(x)+81*x^6-3780*x^5+66501*x^4-532140*x^3+1823674*x^2-2564100*x+7454200)/(4*x^2*ln(x)^2+(-36*x^4+840*x^3-4888*x^2)*ln(x)+81*x^6-3780*x^5+66096*x^4-513240*x^3+1493284*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{5 \left(9 x^{2}-210 x +1222\right)}{x \left(9 x^{2}-210 x -2 \ln \left(x \right)+1222\right)}$&$34$\\ norman&$\frac{-6110-210 x^{3}+1050 x +1177 x^{2}-2 x^{2} \ln \left(x \right)+9 x^{4}}{x \left(9 x^{2}-210 x -2 \ln \left(x \right)+1222\right)}$&$48$\\ \hline \end{longtable}"," ",0,"x-5*(9*x^2-210*x+1222)/x/(9*x^2-210*x-2*ln(x)+1222)","A"
2204,1,110,19,0.422000," ","int(((24*ln(3)^2-8*x+12)*ln(-3*ln(3)^2+x-2)^3+((144*x+360)*ln(3)^2-48*x^2-48*x+180)*ln(-3*ln(3)^2+x-2)^2+((288*x^2+1440*x+1800)*ln(3)^2-96*x^3-336*x^2+120*x+900)*ln(-3*ln(3)^2+x-2)+(192*x^3+1440*x^2+3600*x+3000)*ln(3)^2-64*x^4-384*x^3-480*x^2+800*x+1500)/(3*ln(3)^2+2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{4}+\left(8 x +20\right) \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{3}+\left(24 x^{2}+120 x +150\right) \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+\left(32 x^{3}+240 x^{2}+600 x \right) \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)+16 x^{4}+160 x^{3}+600 x^{2}+1000 x +500 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)$&$110$\\ norman&$\ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{4}+500 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)+1000 x +600 x^{2}+160 x^{3}+16 x^{4}+150 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+20 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{3}+600 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right) x +240 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right) x^{2}+32 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right) x^{3}+120 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2} x +24 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2} x^{2}+8 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{3} x$&$162$\\ derivativedivides&$-11664+5832 x -17496 \ln \left(3\right)^{2}+2916 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)+1728 \ln \left(3\right)^{6} \left(-3 \ln \left(3\right)^{2}+x -2\right)+864 \ln \left(3\right)^{4} \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+3888 \ln \left(3\right)^{4} \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)+8640 \ln \left(3\right)^{4} \left(-3 \ln \left(3\right)^{2}+x -2\right)+192 \ln \left(3\right)^{2} \left(-3 \ln \left(3\right)^{2}+x -2\right)^{3}+648 \ln \left(3\right)^{2} \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+2736 \ln \left(3\right)^{2} \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+8 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{3} \left(-3 \ln \left(3\right)^{2}+x -2\right)+24 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2} \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+32 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right) \left(-3 \ln \left(3\right)^{2}+x -2\right)^{3}+14256 \ln \left(3\right)^{2} \left(-3 \ln \left(3\right)^{2}+x -2\right)+216 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2} \left(-3 \ln \left(3\right)^{2}+x -2\right)+432 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right) \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+1944 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right) \left(-3 \ln \left(3\right)^{2}+x -2\right)+216 \ln \left(3\right)^{4} \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+24 \ln \left(3\right)^{2} \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{3}+864 \ln \left(3\right)^{6} \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)+144 \ln \left(3\right)^{2} \left(\ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2} \left(-3 \ln \left(3\right)^{2}+x -2\right)-2 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right) \left(-3 \ln \left(3\right)^{2}+x -2\right)-6 \ln \left(3\right)^{2}+2 x -4\right)+2880 \ln \left(3\right)^{2} \left(\ln \left(-3 \ln \left(3\right)^{2}+x -2\right) \left(-3 \ln \left(3\right)^{2}+x -2\right)+3 \ln \left(3\right)^{2}-x +2\right)+576 \ln \left(3\right)^{2} \left(\frac{\ln \left(-3 \ln \left(3\right)^{2}+x -2\right) \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}}{2}-\frac{\left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}}{4}\right)+864 \ln \left(3\right)^{4} \left(\ln \left(-3 \ln \left(3\right)^{2}+x -2\right) \left(-3 \ln \left(3\right)^{2}+x -2\right)+3 \ln \left(3\right)^{2}-x +2\right)+5832 \ln \left(3\right)^{2} \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)+1944 \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+\ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{4}+16 \left(-3 \ln \left(3\right)^{2}+x -2\right)^{4}+288 \left(-3 \ln \left(3\right)^{2}+x -2\right)^{3}+36 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{3}+486 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}$&$616$\\ default&$-11664+5832 x -17496 \ln \left(3\right)^{2}+2916 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)+1728 \ln \left(3\right)^{6} \left(-3 \ln \left(3\right)^{2}+x -2\right)+864 \ln \left(3\right)^{4} \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+3888 \ln \left(3\right)^{4} \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)+8640 \ln \left(3\right)^{4} \left(-3 \ln \left(3\right)^{2}+x -2\right)+192 \ln \left(3\right)^{2} \left(-3 \ln \left(3\right)^{2}+x -2\right)^{3}+648 \ln \left(3\right)^{2} \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+2736 \ln \left(3\right)^{2} \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+8 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{3} \left(-3 \ln \left(3\right)^{2}+x -2\right)+24 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2} \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+32 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right) \left(-3 \ln \left(3\right)^{2}+x -2\right)^{3}+14256 \ln \left(3\right)^{2} \left(-3 \ln \left(3\right)^{2}+x -2\right)+216 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2} \left(-3 \ln \left(3\right)^{2}+x -2\right)+432 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right) \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+1944 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right) \left(-3 \ln \left(3\right)^{2}+x -2\right)+216 \ln \left(3\right)^{4} \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+24 \ln \left(3\right)^{2} \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{3}+864 \ln \left(3\right)^{6} \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)+144 \ln \left(3\right)^{2} \left(\ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2} \left(-3 \ln \left(3\right)^{2}+x -2\right)-2 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right) \left(-3 \ln \left(3\right)^{2}+x -2\right)-6 \ln \left(3\right)^{2}+2 x -4\right)+2880 \ln \left(3\right)^{2} \left(\ln \left(-3 \ln \left(3\right)^{2}+x -2\right) \left(-3 \ln \left(3\right)^{2}+x -2\right)+3 \ln \left(3\right)^{2}-x +2\right)+576 \ln \left(3\right)^{2} \left(\frac{\ln \left(-3 \ln \left(3\right)^{2}+x -2\right) \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}}{2}-\frac{\left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}}{4}\right)+864 \ln \left(3\right)^{4} \left(\ln \left(-3 \ln \left(3\right)^{2}+x -2\right) \left(-3 \ln \left(3\right)^{2}+x -2\right)+3 \ln \left(3\right)^{2}-x +2\right)+5832 \ln \left(3\right)^{2} \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)+1944 \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}+\ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{4}+16 \left(-3 \ln \left(3\right)^{2}+x -2\right)^{4}+288 \left(-3 \ln \left(3\right)^{2}+x -2\right)^{3}+36 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{3}+486 \ln \left(-3 \ln \left(3\right)^{2}+x -2\right)^{2}$&$616$\\ \hline \end{longtable}"," ",0,"ln(-3*ln(3)^2+x-2)^4+(8*x+20)*ln(-3*ln(3)^2+x-2)^3+(24*x^2+120*x+150)*ln(-3*ln(3)^2+x-2)^2+(32*x^3+240*x^2+600*x)*ln(-3*ln(3)^2+x-2)+16*x^4+160*x^3+600*x^2+1000*x+500*ln(-3*ln(3)^2+x-2)","B"
2205,1,28,29,0.159000," ","int(((-9*x^2-37*x-46)*exp((4+x)/(3*x+5))*ln(2*ln(2))^2+(-27*x^2-111*x-138)*exp((4+x)/(3*x+5)))/(9*x^4+84*x^3+286*x^2+420*x+225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(\ln \left(2 \ln \left(2\right)\right)^{2}+3\right) {\mathrm e}^{\frac{4+x}{3 x +5}}}{3+x}$&$28$\\ risch&$\frac{\left(\ln \left(2\right)^{2}+2 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)+\ln \left(\ln \left(2\right)\right)^{2}+3\right) {\mathrm e}^{\frac{4+x}{3 x +5}}}{3+x}$&$37$\\ norman&$\frac{\left(15+10 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)+5 \ln \left(2\right)^{2}+5 \ln \left(\ln \left(2\right)\right)^{2}\right) {\mathrm e}^{\frac{4+x}{3 x +5}}+\left(9+6 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)+3 \ln \left(2\right)^{2}+3 \ln \left(\ln \left(2\right)\right)^{2}\right) x \,{\mathrm e}^{\frac{4+x}{3 x +5}}}{3 x^{2}+14 x +15}$&$86$\\ derivativedivides&$\frac{9 \,{\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}}}{4}-\frac{21 \,{\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}}}{16 \left(\frac{7}{3 \left(3 x +5\right)}+\frac{7}{12}\right)}+\frac{3 \,{\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}} \ln \left(2\right)^{2}}{4}-\frac{7 \ln \left(2\right)^{2} {\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}}}{16 \left(\frac{7}{3 \left(3 x +5\right)}+\frac{7}{12}\right)}+\frac{3 \,{\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}} \ln \left(\ln \left(2\right)\right)^{2}}{4}-\frac{7 \ln \left(\ln \left(2\right)\right)^{2} {\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}}}{16 \left(\frac{7}{3 \left(3 x +5\right)}+\frac{7}{12}\right)}+\frac{3 \,{\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}} \ln \left(2\right) \ln \left(\ln \left(2\right)\right)}{2}-\frac{7 \ln \left(2\right) \ln \left(\ln \left(2\right)\right) {\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}}}{8 \left(\frac{7}{3 \left(3 x +5\right)}+\frac{7}{12}\right)}$&$194$\\ default&$\frac{9 \,{\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}}}{4}-\frac{21 \,{\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}}}{16 \left(\frac{7}{3 \left(3 x +5\right)}+\frac{7}{12}\right)}+\frac{3 \,{\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}} \ln \left(2\right)^{2}}{4}-\frac{7 \ln \left(2\right)^{2} {\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}}}{16 \left(\frac{7}{3 \left(3 x +5\right)}+\frac{7}{12}\right)}+\frac{3 \,{\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}} \ln \left(\ln \left(2\right)\right)^{2}}{4}-\frac{7 \ln \left(\ln \left(2\right)\right)^{2} {\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}}}{16 \left(\frac{7}{3 \left(3 x +5\right)}+\frac{7}{12}\right)}+\frac{3 \,{\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}} \ln \left(2\right) \ln \left(\ln \left(2\right)\right)}{2}-\frac{7 \ln \left(2\right) \ln \left(\ln \left(2\right)\right) {\mathrm e}^{\frac{1}{3}+\frac{7}{3 \left(3 x +5\right)}}}{8 \left(\frac{7}{3 \left(3 x +5\right)}+\frac{7}{12}\right)}$&$194$\\ \hline \end{longtable}"," ",0,"(ln(2*ln(2))^2+3)/(3+x)*exp((4+x)/(3*x+5))","A"
2206,1,23,26,0.051000," ","int(((10*x^4+100*x^3+250*x^2)*exp(exp(2))+x^4+10*x^3+23*x^2-24*x-60)/(2*x^4+20*x^3+50*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x \,{\mathrm e}^{{\mathrm e}^{2}}+\frac{x}{2}-\frac{1}{5 \left(5+x \right)}+\frac{6}{5 x}$&$23$\\ risch&$5 x \,{\mathrm e}^{{\mathrm e}^{2}}+\frac{x}{2}+\frac{x +6}{\left(5+x \right) x}$&$23$\\ norman&$\frac{6+\left(5 \,{\mathrm e}^{{\mathrm e}^{2}}+\frac{1}{2}\right) x^{3}+\left(-\frac{23}{2}-125 \,{\mathrm e}^{{\mathrm e}^{2}}\right) x}{\left(5+x \right) x}$&$32$\\ gosper&$\frac{10 x^{3} {\mathrm e}^{{\mathrm e}^{2}}+x^{3}-250 x \,{\mathrm e}^{{\mathrm e}^{2}}-23 x +12}{2 x \left(5+x \right)}$&$33$\\ \hline \end{longtable}"," ",0,"5*x*exp(exp(2))+1/2*x-1/5/(5+x)+6/5/x","A"
2207,1,37,26,0.184000," ","int(((-4*x^2*exp(x^2+4)^2+(-4*x^3-2*x)*exp(x^2+4)-2*x^2)*exp(ln(x)^2)+(-4*exp(x^2+4)^2-8*x*exp(x^2+4)-4*x^2-20)*ln(x))/(x*exp(x^2+4)^2+2*x^2*exp(x^2+4)+x^3+5*x)/exp(ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$8-\ln \left(2 x \,{\mathrm e}^{x^{2}+4}+x^{2}+{\mathrm e}^{2 x^{2}+8}+5\right)+2 \,{\mathrm e}^{-\ln \left(x \right)^{2}}$&$37$\\ \hline \end{longtable}"," ",0,"8-ln(2*x*exp(x^2+4)+x^2+exp(2*x^2+8)+5)+2*exp(-ln(x)^2)","A"
2208,1,29,30,0.057000," ","int(((-4*exp(5)-x)*ln(exp(5)+1/4*x)^2+((-44*exp(5)-11*x)*ln(x)+(8*x-356)*exp(5)+2*x^2-89*x)*ln(exp(5)+1/4*x)+(-120*exp(5)-30*x)*ln(x)^2+((40*x-1920)*exp(5)+10*x^2-479*x)*ln(x)+(-4*x^2+324*x-7680)*exp(5)-x^3+81*x^2-1912*x)/((4*exp(5)+x)*ln(exp(5)+1/4*x)^2+((40*exp(5)+10*x)*ln(x)+(-8*x+320)*exp(5)-2*x^2+80*x)*ln(exp(5)+1/4*x)+(100*exp(5)+25*x)*ln(x)^2+((-40*x+1600)*exp(5)-10*x^2+400*x)*ln(x)+(4*x^2-320*x+6400)*exp(5)+x^3-80*x^2+1600*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{\left(\ln \left(x \right)+8\right) x}{x -5 \ln \left(x \right)-\ln \left({\mathrm e}^{5}+\frac{x}{4}\right)-40}$&$29$\\ \hline \end{longtable}"," ",0,"-x+(ln(x)+8)*x/(x-5*ln(x)-ln(exp(5)+1/4*x)-40)","A"
2209,1,15,14,0.813000," ","int(-20*exp(x+1)*exp(exp(x+1))*exp(exp(exp(x+1)))/(exp(exp(exp(x+1)))^2+(2*exp(2)+14)*exp(exp(exp(x+1)))+exp(2)^2+14*exp(2)+49),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{20}{7+{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x +1}}}+{\mathrm e}^{2}}$&$15$\\ risch&$\frac{20}{7+{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x +1}}}+{\mathrm e}^{2}}$&$15$\\ \hline \end{longtable}"," ",0,"20/(7+exp(exp(exp(x+1)))+exp(2))","A"
2210,1,25,25,0.382000," ","int(((4*x+2)*ln(x)+(2*x+2)*exp(5)+2*x+2)/((2*x^2+x)*exp(5)+2*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(2 x +1\right)+2 \ln \left(x \right)+\frac{\ln \left(x \right)^{2}}{{\mathrm e}^{5}+1}$&$25$\\ norman&$-\ln \left(2 x +1\right)+2 \ln \left(x \right)+\frac{\ln \left(x \right)^{2}}{{\mathrm e}^{5}+1}$&$25$\\ risch&$-\ln \left(2 x +1\right)+2 \ln \left(x \right)+\frac{\ln \left(x \right)^{2}}{{\mathrm e}^{5}+1}$&$25$\\ \hline \end{longtable}"," ",0,"-ln(2*x+1)+2*ln(x)+ln(x)^2/(exp(5)+1)","A"
2211,1,13,16,0.049000," ","int((768*x^2*exp(x^2)-32)/x/exp(ln(1/4*x)-12*exp(x^2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{256 \,{\mathrm e}^{24 \,{\mathrm e}^{x^{2}}}}{x^{2}}$&$13$\\ \hline \end{longtable}"," ",0,"256/x^2*exp(24*exp(x^2))","A"
2212,1,28,26,0.190000," ","int(1/3*((x*exp(5)+3)*exp((25*x*exp(5)+3-x)/x/exp(5))*exp(1/3*exp((25*x*exp(5)+3-x)/x/exp(5))/x)+3*x^3*exp(5))/x^3/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -{\mathrm e}^{\frac{{\mathrm e}^{\frac{\left(25 x \,{\mathrm e}^{5}+3-x \right) {\mathrm e}^{-5}}{x}}}{3 x}}$&$28$\\ norman&$\frac{x^{3}-x^{2} {\mathrm e}^{\frac{{\mathrm e}^{\frac{\left(25 x \,{\mathrm e}^{5}+3-x \right) {\mathrm e}^{-5}}{x}}}{3 x}}}{x^{2}}$&$39$\\ \hline \end{longtable}"," ",0,"x-exp(1/3*exp((25*x*exp(5)+3-x)/x*exp(-5))/x)","A"
2213,1,16,21,0.029000," ","int(1/5*(4*exp(exp(1))+(1-x)*exp(x)+2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{{\mathrm e}^{x}}{5}-\frac{4 \,{\mathrm e}^{{\mathrm e}}}{5}-\frac{2}{5}}{x}$&$16$\\ default&$-\frac{{\mathrm e}^{x}}{5 x}-\frac{2}{5 x}-\frac{4 \,{\mathrm e}^{{\mathrm e}}}{5 x}$&$22$\\ risch&$-\frac{{\mathrm e}^{x}}{5 x}-\frac{2}{5 x}-\frac{4 \,{\mathrm e}^{{\mathrm e}}}{5 x}$&$22$\\ \hline \end{longtable}"," ",0,"(-1/5*exp(x)-4/5*exp(exp(1))-2/5)/x","A"
2214,1,52,20,0.071000," ","int(((8*x^2+16*x-2)*exp(x^2+4*x)^4+(24*x^3+48*x^2-4*x)*exp(x^2+4*x)^3+(24*x^4+48*x^3)*exp(x^2+4*x)^2+(8*x^5+16*x^4+4*x^3)*exp(x^2+4*x)+2*x^4)/(exp(x^2+4*x)^6+6*x*exp(x^2+4*x)^5+(15*x^2+3*x)*exp(x^2+4*x)^4+(20*x^3+12*x^2)*exp(x^2+4*x)^3+(15*x^4+18*x^3+3*x^2)*exp(x^2+4*x)^2+(6*x^5+12*x^4+6*x^3)*exp(x^2+4*x)+x^6+3*x^5+3*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(2 x^{2}+4 x \,{\mathrm e}^{\left(4+x \right) x}+2 \,{\mathrm e}^{2 \left(4+x \right) x}+x \right) x}{\left({\mathrm e}^{2 \left(4+x \right) x}+2 x \,{\mathrm e}^{\left(4+x \right) x}+x^{2}+x \right)^{2}}$&$52$\\ \hline \end{longtable}"," ",0,"-(2*x^2+4*x*exp((4+x)*x)+2*exp(2*(4+x)*x)+x)*x/(exp(2*(4+x)*x)+2*x*exp((4+x)*x)+x^2+x)^2","B"
2215,1,116,34,0.194000," ","int(((150*x^6+1300*x^5+2904*x^4+780*x^3+50*x^2-1)*exp(3)^3+(450*x^8+3900*x^7+9612*x^6+6390*x^5+1374*x^4+90*x^3-3*x^2)*exp(3)^2+(450*x^10+3900*x^9+10212*x^8+8820*x^7+3336*x^6+570*x^5+33*x^4)*exp(3)+150*x^12+1300*x^11+3504*x^10+3210*x^9+1112*x^8+120*x^7-x^6)/(x*exp(3)^3+3*x^3*exp(3)^2+3*x^5*exp(3)+x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x^{6}+260 x^{5}+876 x^{4}-150 x^{2} {\mathrm e}^{3}+1070 x^{3}-810 x \,{\mathrm e}^{3}+556 x^{2}+120 x +\frac{30 \,{\mathrm e}^{3} \left(27 \,{\mathrm e}^{3}-7\right) x^{3}+\left(-150 \,{\mathrm e}^{9}+981 \,{\mathrm e}^{6}-18 \,{\mathrm e}^{3}\right) x^{2}+\left(810 \,{\mathrm e}^{9}-120 \,{\mathrm e}^{6}\right) x -150 \,{\mathrm e}^{12}+756 \,{\mathrm e}^{9}-9 \,{\mathrm e}^{6}}{x^{4}+2 x^{2} {\mathrm e}^{3}+{\mathrm e}^{6}}-\ln \left(x \right)$&$116$\\ norman&$\frac{\left(876+50 \,{\mathrm e}^{3}\right) x^{8}+\left(1070+520 \,{\mathrm e}^{3}\right) x^{7}+\left(260 \,{\mathrm e}^{6}+30 \,{\mathrm e}^{3}\right) x^{3}+\left(25 \,{\mathrm e}^{6}+1602 \,{\mathrm e}^{3}+556\right) x^{6}+\left(260 \,{\mathrm e}^{6}+1330 \,{\mathrm e}^{3}+120\right) x^{5}+\left(-1452 \,{\mathrm e}^{9}-687 \,{\mathrm e}^{6}-18 \,{\mathrm e}^{3}\right) x^{2}+260 x^{9}+25 x^{10}-726 \,{\mathrm e}^{12}-356 \,{\mathrm e}^{9}-9 \,{\mathrm e}^{6}}{\left(x^{2}+{\mathrm e}^{3}\right)^{2}}-\ln \left(x \right)$&$132$\\ \hline \end{longtable}"," ",0,"25*x^6+260*x^5+876*x^4-150*x^2*exp(3)+1070*x^3-810*x*exp(3)+556*x^2+120*x+(30*exp(3)*(27*exp(3)-7)*x^3+(-150*exp(9)+981*exp(6)-18*exp(3))*x^2+(810*exp(9)-120*exp(6))*x-150*exp(12)+756*exp(9)-9*exp(6))/(x^4+2*x^2*exp(3)+exp(6))-ln(x)","B"
2216,1,23,23,0.427000," ","int(((-2*exp(4)^2-5*x*exp(4)-2*x^2)*exp(x/(2*exp(4)+2*x))+(4*x+6)*exp(4)^2+(8*x^2+12*x)*exp(4)+4*x^3+6*x^2)*exp(-x*exp(x/(2*exp(4)+2*x))+x^2+3*x+5)/(2*exp(4)^2+4*x*exp(4)+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-x \,{\mathrm e}^{\frac{x}{2 \,{\mathrm e}^{4}+2 x}}+x^{2}+3 x +5}$&$23$\\ norman&$\frac{x \,{\mathrm e}^{-x \,{\mathrm e}^{\frac{x}{2 \,{\mathrm e}^{4}+2 x}}+x^{2}+3 x +5}+{\mathrm e}^{4} {\mathrm e}^{-x \,{\mathrm e}^{\frac{x}{2 \,{\mathrm e}^{4}+2 x}}+x^{2}+3 x +5}}{x +{\mathrm e}^{4}}$&$64$\\ \hline \end{longtable}"," ",0,"exp(-x*exp(1/2*x/(x+exp(4)))+x^2+3*x+5)","A"
2217,1,14,13,0.134000," ","int(-5/(2*x*exp(25)^2*ln(x)^2+20*x*exp(25)*ln(x)+50*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(x \right)}{2 \left({\mathrm e}^{25} \ln \left(x \right)+5\right)}$&$14$\\ risch&$\frac{5 \,{\mathrm e}^{-25}}{2 \left({\mathrm e}^{25} \ln \left(x \right)+5\right)}$&$14$\\ \hline \end{longtable}"," ",0,"-1/2*ln(x)/(exp(25)*ln(x)+5)","A"
2218,1,84,32,0.203000," ","int(((48*x^3*exp(x^2)*exp(4-exp(x^2))-24*x^2-6*x)*exp(2*exp(4-exp(x^2))+2*x)^4+(-144*x^3*exp(x)*exp(x^2)*exp(4-exp(x^2))+(84*x^2+24*x)*exp(x))*exp(2*exp(4-exp(x^2))+2*x)^3+(144*x^3*exp(x)^2*exp(x^2)*exp(4-exp(x^2))+(-108*x^2-36*x)*exp(x)^2)*exp(2*exp(4-exp(x^2))+2*x)^2+(-48*x^3*exp(x)^3*exp(x^2)*exp(4-exp(x^2))+(60*x^2+24*x)*exp(x)^3)*exp(2*exp(4-exp(x^2))+2*x)+(-12*x^2-6*x)*exp(x)^4)/exp(x^2*exp(2*exp(4-exp(x^2))+2*x)^4-4*x^2*exp(x)*exp(2*exp(4-exp(x^2))+2*x)^3+6*x^2*exp(x)^2*exp(2*exp(4-exp(x^2))+2*x)^2-4*x^2*exp(x)^3*exp(2*exp(4-exp(x^2))+2*x)+x^2*exp(x)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \,{\mathrm e}^{-x^{2} \left({\mathrm e}^{8 \,{\mathrm e}^{4-{\mathrm e}^{x^{2}}}+8 x}+{\mathrm e}^{4 x}-4 \,{\mathrm e}^{7 x +6 \,{\mathrm e}^{4-{\mathrm e}^{x^{2}}}}+6 \,{\mathrm e}^{6 x +4 \,{\mathrm e}^{4-{\mathrm e}^{x^{2}}}}-4 \,{\mathrm e}^{5 x +2 \,{\mathrm e}^{4-{\mathrm e}^{x^{2}}}}\right)}$&$84$\\ \hline \end{longtable}"," ",0,"3*exp(-x^2*(exp(8*exp(4-exp(x^2))+8*x)+exp(4*x)-4*exp(7*x+6*exp(4-exp(x^2)))+6*exp(6*x+4*exp(4-exp(x^2)))-4*exp(5*x+2*exp(4-exp(x^2)))))","B"
2219,1,17,18,0.020000," ","int((-30*x^2-2*x-20)/(5*x^3+x^2-10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x \right)-4 \ln \left(5 x^{2}+x -10\right)$&$17$\\ norman&$2 \ln \left(x \right)-4 \ln \left(5 x^{2}+x -10\right)$&$17$\\ risch&$2 \ln \left(x \right)-4 \ln \left(5 x^{2}+x -10\right)$&$17$\\ \hline \end{longtable}"," ",0,"2*ln(x)-4*ln(5*x^2+x-10)","A"
2220,1,12,15,0.061000," ","int(((4*x-4)*ln(5*x)+4)/x^2/exp(-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{x} \ln \left(5 x \right)}{x}$&$12$\\ norman&$\frac{4 \,{\mathrm e}^{x} \ln \left(5 x \right)}{x}$&$16$\\ \hline \end{longtable}"," ",0,"4/x*exp(x)*ln(5*x)","A"
2221,1,46,26,0.074000," ","int((-ln(ln(x))^2+((-18*x^3-48*x^2+6*x)*exp(-3*x^3-12*x^2+3*x+12)*ln(x)+2*exp(-3*x^3-12*x^2+3*x+12)-2)*ln(ln(x))+(18*x^3+48*x^2-6*x)*exp(-3*x^3-12*x^2+3*x+12)^2*ln(x)-exp(-3*x^3-12*x^2+3*x+12)^2+2*exp(-3*x^3-12*x^2+3*x+12))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-6 \left(x -1\right) \left(4+x \right) \left(x +1\right)} \ln \left(x \right)+2 \ln \left(x \right) \ln \left(\ln \left(x \right)\right) {\mathrm e}^{-3 \left(x -1\right) \left(4+x \right) \left(x +1\right)}-\ln \left(x \right) \ln \left(\ln \left(x \right)\right)^{2}$&$46$\\ \hline \end{longtable}"," ",0,"-exp(-6*(x-1)*(4+x)*(x+1))*ln(x)+2*ln(x)*ln(ln(x))*exp(-3*(x-1)*(4+x)*(x+1))-ln(x)*ln(ln(x))^2","A"
2222,1,411,38,0.501000," ","int((((2*x^4-4*x)*exp(1-x)-4*x^5+8*x^2)*ln(((x^3-2)*exp(1-x)-2*x^4+4*x)/x^3)+(2*x^5-4*x^2-12*x)*exp(1-x)+4*x^5+16*x^2)/((x^3-2)*ln(2)^2*exp(1-x)+(-2*x^4+4*x)*ln(2)^2)/ln(((x^3-2)*exp(1-x)-2*x^4+4*x)/x^3)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x^{2}}{\left(-2 \pi  \mathrm{csgn}\left(\frac{i \left(x^{4}-\frac{{\mathrm e}^{1-x} x^{3}}{2}-2 x +{\mathrm e}^{1-x}\right)}{x^{3}}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{3}}\right) \mathrm{csgn}\left(i \left(x^{4}-\frac{{\mathrm e}^{1-x} x^{3}}{2}-2 x +{\mathrm e}^{1-x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{4}-\frac{{\mathrm e}^{1-x} x^{3}}{2}-2 x +{\mathrm e}^{1-x}\right)}{x^{3}}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x^{3}}\right) \mathrm{csgn}\left(\frac{i \left(x^{4}-\frac{{\mathrm e}^{1-x} x^{3}}{2}-2 x +{\mathrm e}^{1-x}\right)}{x^{3}}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(x^{4}-\frac{{\mathrm e}^{1-x} x^{3}}{2}-2 x +{\mathrm e}^{1-x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{4}-\frac{{\mathrm e}^{1-x} x^{3}}{2}-2 x +{\mathrm e}^{1-x}\right)}{x^{3}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x^{4}-\frac{{\mathrm e}^{1-x} x^{3}}{2}-2 x +{\mathrm e}^{1-x}\right)}{x^{3}}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+2 \pi -2 i \ln \left(x^{4}-\frac{{\mathrm e}^{1-x} x^{3}}{2}-2 x +{\mathrm e}^{1-x}\right)+6 i \ln \left(x \right)-2 i \ln \left(2\right)\right)^{2} \ln \left(2\right)^{2}}$&$411$\\ \hline \end{longtable}"," ",0,"-4*x^2/(-2*Pi*csgn(I/x^3*(x^4-1/2*exp(1-x)*x^3-2*x+exp(1-x)))^2-Pi*csgn(I/x^3)*csgn(I*(x^4-1/2*exp(1-x)*x^3-2*x+exp(1-x)))*csgn(I/x^3*(x^4-1/2*exp(1-x)*x^3-2*x+exp(1-x)))+Pi*csgn(I/x^3)*csgn(I/x^3*(x^4-1/2*exp(1-x)*x^3-2*x+exp(1-x)))^2+Pi*csgn(I*(x^4-1/2*exp(1-x)*x^3-2*x+exp(1-x)))*csgn(I/x^3*(x^4-1/2*exp(1-x)*x^3-2*x+exp(1-x)))^2+Pi*csgn(I/x^3*(x^4-1/2*exp(1-x)*x^3-2*x+exp(1-x)))^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2+Pi*csgn(I*x^3)^3+2*Pi-2*I*ln(x^4-1/2*exp(1-x)*x^3-2*x+exp(1-x))+6*I*ln(x)-2*I*ln(2))^2/ln(2)^2","C"
2223,1,20,18,0.191000," ","int(((3*x^4-36*x^3+131*x^2-625)*exp((x^4-18*x^3+131*x^2-450*x+625)/x)+3*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x +{\mathrm e}^{\frac{\left(x^{2}-9 x +25\right)^{2}}{x}}$&$20$\\ norman&$\frac{x \,{\mathrm e}^{\frac{x^{4}-18 x^{3}+131 x^{2}-450 x +625}{x}}+3 x^{2}}{x}$&$36$\\ \hline \end{longtable}"," ",0,"3*x+exp((x^2-9*x+25)^2/x)","A"
2224,1,18,21,0.127000," ","int(((-x-2)*exp(2-x)-ln(5))/((x+1)*exp(2-x)+(x+1)*ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x +1\right)+\ln \left({\mathrm e}^{2-x}+\ln \left(5\right)\right)$&$18$\\ risch&$-\ln \left(x +1\right)-2+\ln \left({\mathrm e}^{2-x}+\ln \left(5\right)\right)$&$19$\\ \hline \end{longtable}"," ",0,"-ln(x+1)+ln(exp(2-x)+ln(5))","A"
2225,1,21,27,0.104000," ","int(((3*x^2+24*x+48)*exp(x)-4*exp(3)-19)/((3*x^2+24*x+48)*exp(x)+(-x^2-4*x)*exp(3)+8*x^2+83*x+204),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{x}-\frac{x \,{\mathrm e}^{3}-8 x -51}{3 \left(4+x \right)}\right)$&$21$\\ norman&$-\ln \left(4+x \right)+\ln \left(x \,{\mathrm e}^{3}-3 \,{\mathrm e}^{x} x -8 x -12 \,{\mathrm e}^{x}-51\right)$&$27$\\ \hline \end{longtable}"," ",0,"ln(exp(x)-1/3*(x*exp(3)-8*x-51)/(4+x))","A"
2226,1,14,14,0.151000," ","int(1/4*((1-x)*exp(1/x)*ln(x)-x*exp(1/x)+2*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{2}-\frac{x \,{\mathrm e}^{\frac{1}{x}} \ln \left(x \right)}{4}$&$14$\\ risch&$\frac{x}{2}-\frac{x \,{\mathrm e}^{\frac{1}{x}} \ln \left(x \right)}{4}$&$14$\\ derivativedivides&$\frac{x}{2}-\frac{\left(\frac{\left(\ln \left(\frac{1}{x}\right)+\ln \left(x \right)\right) {\mathrm e}^{\frac{1}{x}}}{x}-\frac{{\mathrm e}^{\frac{1}{x}} \ln \left(\frac{1}{x}\right)}{x}\right) x^{2}}{4}$&$39$\\ default&$\frac{x}{2}-\frac{\left(\frac{\left(\ln \left(\frac{1}{x}\right)+\ln \left(x \right)\right) {\mathrm e}^{\frac{1}{x}}}{x}-\frac{{\mathrm e}^{\frac{1}{x}} \ln \left(\frac{1}{x}\right)}{x}\right) x^{2}}{4}$&$39$\\ \hline \end{longtable}"," ",0,"1/2*x-1/4*x*exp(1/x)*ln(x)","A"
2227,1,15,17,0.051000," ","int((ln(x)-x)*exp(ln(1/2*ln(x)^2-x+5)+4)/(x*ln(x)^2-2*x^2+10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{4} \left(\frac{\ln \left(x \right)^{2}}{2}-x \right)}{2}$&$15$\\ norman&$-\frac{x \,{\mathrm e}^{4}}{2}+\frac{{\mathrm e}^{4} \ln \left(x \right)^{2}}{4}$&$15$\\ risch&$-\frac{x \,{\mathrm e}^{4}}{2}+\frac{{\mathrm e}^{4} \ln \left(x \right)^{2}}{4}$&$15$\\ \hline \end{longtable}"," ",0,"1/2*exp(4)*(1/2*ln(x)^2-x)","A"
2228,1,21,21,0.032000," ","int(1/80*((-x*exp(1)+8*x^2+12*x)*ln(x)+x*exp(1)-4*x^2-12*x+16)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{1}{5}+\left(-\frac{{\mathrm e}}{80}+\frac{3}{20}\right) x +\frac{x^{2}}{20}}{\ln \left(x \right)}$&$21$\\ risch&$-\frac{x \,{\mathrm e}-4 x^{2}-12 x +16}{80 \ln \left(x \right)}$&$21$\\ default&$\frac{{\mathrm e} \expIntegralEi \left(1, -\ln \left(x \right)\right)}{80}+\frac{{\mathrm e} \left(-\frac{x}{\ln \left(x \right)}-\expIntegralEi \left(1, -\ln \left(x \right)\right)\right)}{80}+\frac{x^{2}}{20 \ln \left(x \right)}+\frac{3 x}{20 \ln \left(x \right)}-\frac{1}{5 \ln \left(x \right)}$&$54$\\ \hline \end{longtable}"," ",0,"(-1/5+(-1/80*exp(1)+3/20)*x+1/20*x^2)/ln(x)","A"
2229,1,83,29,0.810000," ","int((((-2*x^3*ln(2)+6*x^3)*exp(x)^4-x^5-6*x^3-9*x)*ln(((2*x^2*ln(2)-6*x^2)*exp(x)^4+x^4+6*x^2+9)/x^2/exp(x)^4)^2+8*x^5-4*x^4+48*x^3+72*x+36)/((2*x^3*ln(2)-6*x^3)*exp(x)^4+x^5+6*x^3+9*x)/ln(((2*x^2*ln(2)-6*x^2)*exp(x)^4+x^4+6*x^2+9)/x^2/exp(x)^4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2-x \ln \left(\frac{\left(\left(2 x^{2} \ln \left(2\right)-6 x^{2}\right) {\mathrm e}^{4 x}+x^{4}+6 x^{2}+9\right) {\mathrm e}^{-4 x}}{x^{2}}\right)}{\ln \left(\frac{\left(\left(2 x^{2} \ln \left(2\right)-6 x^{2}\right) {\mathrm e}^{4 x}+x^{4}+6 x^{2}+9\right) {\mathrm e}^{-4 x}}{x^{2}}\right)}$&$83$\\ risch&$-x +\frac{4 i}{\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{4 x} \ln \left(2\right) x^{2}+\frac{9}{2}+\frac{x^{4}}{2}+\left(-3 \,{\mathrm e}^{4 x}+3\right) x^{2}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-4 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-4 x} \left({\mathrm e}^{4 x} \ln \left(2\right) x^{2}+\frac{9}{2}+\frac{x^{4}}{2}+\left(-3 \,{\mathrm e}^{4 x}+3\right) x^{2}\right)\right)+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-4 x} \left({\mathrm e}^{4 x} \ln \left(2\right) x^{2}+\frac{9}{2}+\frac{x^{4}}{2}+\left(-3 \,{\mathrm e}^{4 x}+3\right) x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4 x} \ln \left(2\right) x^{2}+\frac{9}{2}+\frac{x^{4}}{2}+\left(-3 \,{\mathrm e}^{4 x}+3\right) x^{2}\right) {\mathrm e}^{-4 x}}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)+2 i \ln \left(2\right)-4 i \ln \left(x \right)-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{3}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)^{3}-8 i \ln \left({\mathrm e}^{x}\right)+\pi  \mathrm{csgn}\left(i {\mathrm e}^{-4 x} \left({\mathrm e}^{4 x} \ln \left(2\right) x^{2}+\frac{9}{2}+\frac{x^{4}}{2}+\left(-3 \,{\mathrm e}^{4 x}+3\right) x^{2}\right)\right)^{3}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4 x} \ln \left(2\right) x^{2}+\frac{9}{2}+\frac{x^{4}}{2}+\left(-3 \,{\mathrm e}^{4 x}+3\right) x^{2}\right) {\mathrm e}^{-4 x}}{x^{2}}\right)^{3}+2 i \ln \left({\mathrm e}^{4 x} \ln \left(2\right) x^{2}+\frac{9}{2}+\frac{x^{4}}{2}+\left(-3 \,{\mathrm e}^{4 x}+3\right) x^{2}\right)-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{4 x} \ln \left(2\right) x^{2}+\frac{9}{2}+\frac{x^{4}}{2}+\left(-3 \,{\mathrm e}^{4 x}+3\right) x^{2}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-4 x} \left({\mathrm e}^{4 x} \ln \left(2\right) x^{2}+\frac{9}{2}+\frac{x^{4}}{2}+\left(-3 \,{\mathrm e}^{4 x}+3\right) x^{2}\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-4 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-4 x} \left({\mathrm e}^{4 x} \ln \left(2\right) x^{2}+\frac{9}{2}+\frac{x^{4}}{2}+\left(-3 \,{\mathrm e}^{4 x}+3\right) x^{2}\right)\right)^{2}+2 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)^{2}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-4 x} \left({\mathrm e}^{4 x} \ln \left(2\right) x^{2}+\frac{9}{2}+\frac{x^{4}}{2}+\left(-3 \,{\mathrm e}^{4 x}+3\right) x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4 x} \ln \left(2\right) x^{2}+\frac{9}{2}+\frac{x^{4}}{2}+\left(-3 \,{\mathrm e}^{4 x}+3\right) x^{2}\right) {\mathrm e}^{-4 x}}{x^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4 x} \ln \left(2\right) x^{2}+\frac{9}{2}+\frac{x^{4}}{2}+\left(-3 \,{\mathrm e}^{4 x}+3\right) x^{2}\right) {\mathrm e}^{-4 x}}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)}$&$819$\\ \hline \end{longtable}"," ",0,"(2-x*ln(((2*x^2*ln(2)-6*x^2)*exp(x)^4+x^4+6*x^2+9)/x^2/exp(x)^4))/ln(((2*x^2*ln(2)-6*x^2)*exp(x)^4+x^4+6*x^2+9)/x^2/exp(x)^4)","B"
2230,1,15,24,0.390000," ","int((-4*exp(3)^2-4*x^2-2*x-4)/(exp(3)^2+x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x -\ln \left({\mathrm e}^{6}+x^{2}+1\right)$&$15$\\ risch&$-4 x -\ln \left({\mathrm e}^{6}+x^{2}+1\right)$&$15$\\ norman&$-4 x -\ln \left({\mathrm e}^{6}+x^{2}+1\right)$&$17$\\ meijerg&$-\frac{4 \,{\mathrm e}^{6} \arctan \left(\frac{x}{\sqrt{1+{\mathrm e}^{6}}}\right)}{\sqrt{1+{\mathrm e}^{6}}}-2 \sqrt{1+{\mathrm e}^{6}}\, \left(\frac{2 x}{\sqrt{1+{\mathrm e}^{6}}}-2 \arctan \left(\frac{x}{\sqrt{1+{\mathrm e}^{6}}}\right)\right)-\ln \left(1+\frac{x^{2}}{1+{\mathrm e}^{6}}\right)-\frac{4 \arctan \left(\frac{x}{\sqrt{1+{\mathrm e}^{6}}}\right)}{\sqrt{1+{\mathrm e}^{6}}}$&$82$\\ \hline \end{longtable}"," ",0,"-4*x-ln(exp(6)+x^2+1)","A"
2231,1,4,9,0.012000," ","int(-1/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{1}{x}$&$4$\\ default&$\frac{1}{x}$&$4$\\ norman&$\frac{1}{x}$&$4$\\ risch&$\frac{1}{x}$&$4$\\ \hline \end{longtable}"," ",0,"1/x","A"
2232,1,27,25,0.131000," ","int((32*exp(4)^2+(128*x^2+24)*exp(4)+128*x^4)/(16*x^3*exp(4)^2+(64*x^5+24*x^3)*exp(4)+64*x^7+48*x^5+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{4 \left(2 x^{2}+{\mathrm e}^{4}\right)}{x^{2} \left(8 x^{2}+4 \,{\mathrm e}^{4}+3\right)}$&$27$\\ norman&$\frac{-8 x^{2}-4 \,{\mathrm e}^{4}}{x^{2} \left(8 x^{2}+4 \,{\mathrm e}^{4}+3\right)}$&$28$\\ risch&$\frac{-8 x^{2}-4 \,{\mathrm e}^{4}}{x^{2} \left(8 x^{2}+4 \,{\mathrm e}^{4}+3\right)}$&$29$\\ \hline \end{longtable}"," ",0,"-4/x^2*(2*x^2+exp(4))/(8*x^2+4*exp(4)+3)","A"
2233,1,24,17,0.028000," ","int(((1-2*x)*ln(x)*ln(ln(x))+(10*x-5)*ln(x)+x-1)/(x^4-2*x^3+x^2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(x \right)\right)}{x \left(x -1\right)}-\frac{5}{x \left(x -1\right)}$&$24$\\ \hline \end{longtable}"," ",0,"1/x/(x-1)*ln(ln(x))-5/x/(x-1)","A"
2234,1,47,25,0.101000," ","int(((4*ln(2)^2+(6*x^2+4*x+40)*ln(2)+30*x^2+20*x+100)*ln(x)^2+(-32*x*ln(2)-16*x^3-8*x^2-160*x)*ln(x)-8*x^3+56*x^2)/((ln(2)^2+10*ln(2)+25)*ln(x)^2+(-8*x*ln(2)-40*x)*ln(x)+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(4 \ln \left(2\right)+20\right) x \ln \left(x \right)-16 x^{2}+2 x^{2} \ln \left(x \right)+2 x^{3} \ln \left(x \right)}{\ln \left(2\right) \ln \left(x \right)+5 \ln \left(x \right)-4 x}$&$47$\\ risch&$\frac{2 x \left(x^{2}+2 \ln \left(2\right)+x +10\right)}{\ln \left(2\right)+5}+\frac{8 \left(x +1\right) x^{3}}{\left(\ln \left(2\right)+5\right) \left(\ln \left(2\right) \ln \left(x \right)+5 \ln \left(x \right)-4 x \right)}$&$50$\\ \hline \end{longtable}"," ",0,"((4*ln(2)+20)*x*ln(x)-16*x^2+2*x^2*ln(x)+2*x^3*ln(x))/(ln(2)*ln(x)+5*ln(x)-4*x)","A"
2235,1,81,22,0.070000," ","int((-54*x*ln(x)^5+(-54*x^2+306*x+252)*ln(x)^4+(306*x^2+576*x)*ln(x)^3+(162*x^2-756*x)*ln(x)^2+(162*x^2+270*x)*ln(x)-486*x-2268)/(27*x^4+378*x^3+1764*x^2+2744*x)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 \ln \left(x \right)^{2}}{9 x^{2}+84 x +196}+\frac{18 x \ln \left(x \right)}{9 x^{2}+84 x +196}-\frac{2 \left(42 x +125\right)}{9 x^{2}+84 x +196}-\frac{27 \left(2 x \ln \left(x \right)-3\right)}{\left(9 x^{2}+84 x +196\right) \ln \left(x \right)^{2}}$&$81$\\ \hline \end{longtable}"," ",0,"9/(9*x^2+84*x+196)*ln(x)^2+18*x/(9*x^2+84*x+196)*ln(x)-2*(42*x+125)/(9*x^2+84*x+196)-27*(2*x*ln(x)-3)/(9*x^2+84*x+196)/ln(x)^2","B"
2236,1,17,18,0.418000," ","int((4*x^3+60*x^2-x-9)/(4*x^3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +9 \ln \left(x \right)+3 \ln \left(4 x^{2}-1\right)$&$17$\\ default&$x +3 \ln \left(2 x +1\right)+9 \ln \left(x \right)+3 \ln \left(2 x -1\right)$&$23$\\ norman&$x +3 \ln \left(2 x +1\right)+9 \ln \left(x \right)+3 \ln \left(2 x -1\right)$&$23$\\ meijerg&$3 \ln \left(-4 x^{2}+1\right)+9 \ln \left(x \right)+9 \ln \left(2\right)+\frac{9 i \pi}{2}-\frac{i \left(4 i x -2 i \arctanh \left(2 x \right)\right)}{4}+\frac{\arctanh \left(2 x \right)}{2}$&$45$\\ \hline \end{longtable}"," ",0,"x+9*ln(x)+3*ln(4*x^2-1)","A"
2237,1,31,26,0.488000," ","int((16*ln(5*x^2/exp(x))+(-5*x^3-85*x^2-400*x-320)*exp(x)-2*x^2-12*x+32)/(5*x^2+80*x+320),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{x} x -\frac{2 x}{5}-\frac{16 \ln \left(5 x^{2} {\mathrm e}^{-x}\right)}{5 \left(x +8\right)}+\frac{4 \ln \left(x \right)}{5}$&$31$\\ norman&$\frac{-8 \,{\mathrm e}^{x} x -{\mathrm e}^{x} x^{2}+\frac{2 \ln \left(5 x^{2} {\mathrm e}^{-x}\right) x}{5}}{x +8}$&$33$\\ risch&$\frac{16 \ln \left({\mathrm e}^{x}\right)}{5 \left(x +8\right)}-\frac{-8 i \pi  \,\mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)-8 i \pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x}\right)^{3}+8 i \pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x^{2}\right)+16 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-8 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+8 i \pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)-8 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+5 \,{\mathrm e}^{x} x^{2}-4 x \ln \left(x \right)+2 x^{2}+40 \,{\mathrm e}^{x} x +16 \ln \left(5\right)+16 x}{5 \left(x +8\right)}$&$194$\\ \hline \end{longtable}"," ",0,"-exp(x)*x-2/5*x-16/5/(x+8)*ln(5*x^2/exp(x))+4/5*ln(x)","A"
2238,1,26,15,0.038000," ","int((300*x^6-1200*x^5)/(75*x^7-200*x^6-216*x^3+1728*x^2-4608*x+4096),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(3 x -8\right)+\ln \left(25 x^{6}-72 x^{2}+384 x -512\right)$&$26$\\ norman&$-2 \ln \left(3 x -8\right)+\ln \left(25 x^{6}-72 x^{2}+384 x -512\right)$&$26$\\ risch&$-2 \ln \left(3 x -8\right)+\ln \left(25 x^{6}-72 x^{2}+384 x -512\right)$&$26$\\ \hline \end{longtable}"," ",0,"-2*ln(3*x-8)+ln(25*x^6-72*x^2+384*x-512)","A"
2239,1,35,23,0.118000," ","int((((6*x+9)*exp(5+x)+2*x^2+3*x)*ln(ln(5)/(3*exp(5+x)+x))+(-3*x^2-9*x)*exp(5+x)-x^2-3*x)/(45*exp(5+x)+15*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-\frac{1}{15} x^{2}-\frac{1}{5} x \right) \ln \left(3 \,{\mathrm e}^{5+x}+x \right)+\frac{\ln \left(\ln \left(5\right)\right) x^{2}}{15}+\frac{x \ln \left(\ln \left(5\right)\right)}{5}$&$35$\\ norman&$\frac{\ln \left(\frac{\ln \left(5\right)}{3 \,{\mathrm e}^{5+x}+x}\right) x}{5}+\frac{\ln \left(\frac{\ln \left(5\right)}{3 \,{\mathrm e}^{5+x}+x}\right) x^{2}}{15}$&$38$\\ default&$\frac{x^{2} \left(\ln \left(\frac{\ln \left(5\right)}{3 \,{\mathrm e}^{5+x}+x}\right)+\ln \left(3 \,{\mathrm e}^{5+x}+x \right)\right)}{15}+\frac{x \left(\ln \left(\frac{\ln \left(5\right)}{3 \,{\mathrm e}^{5+x}+x}\right)+\ln \left(3 \,{\mathrm e}^{5+x}+x \right)\right)}{5}-\frac{\ln \left(3 \,{\mathrm e}^{5+x}+x \right) x}{5}-\frac{\ln \left(3 \,{\mathrm e}^{5+x}+x \right) x^{2}}{15}$&$84$\\ \hline \end{longtable}"," ",0,"(-1/15*x^2-1/5*x)*ln(3*exp(5+x)+x)+1/15*ln(ln(5))*x^2+1/5*x*ln(ln(5))","A"
2240,1,18,19,0.023000," ","int((2*ln(x)^2+(-20*x^2+270*x)*ln(x)+50*x^4+1350*x^3-270*x)*exp(135*x/(ln(x)-5*x^2))/(15*ln(x)^2-150*x^2*ln(x)+375*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x \,{\mathrm e}^{\frac{135 x}{\ln \left(x \right)-5 x^{2}}}}{15}$&$18$\\ \hline \end{longtable}"," ",0,"2/15*x*exp(135*x/(ln(x)-5*x^2))","A"
2241,1,34,26,0.046000," ","int(((x*ln(x)^2+2*x*ln(x)-2*x^2+1)*ln(ln(5))+4*x*exp(2)*exp(4*x))*exp(((x*ln(x)^2-x^2)*ln(ln(5))+exp(2)*exp(4*x))/ln(ln(5)))/ln(ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{\frac{\ln \left(x \right)^{2} \ln \left(\ln \left(5\right)\right) x -\ln \left(\ln \left(5\right)\right) x^{2}+{\mathrm e}^{4 x +2}}{\ln \left(\ln \left(5\right)\right)}}$&$34$\\ \hline \end{longtable}"," ",0,"x*exp((ln(x)^2*ln(ln(5))*x-ln(ln(5))*x^2+exp(4*x+2))/ln(ln(5)))","A"
2242,1,22,21,0.047000," ","int((-8*x^2-20)/(2*x^2*ln(2)-2*x^3-x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(-2 x \ln \left(2\right)+2 x^{2}+x -5\right)-4 \ln \left(x \right)$&$22$\\ norman&$-4 \ln \left(x \right)+4 \ln \left(2 x \ln \left(2\right)-2 x^{2}-x +5\right)$&$24$\\ risch&$-4 \ln \left(-x \right)+4 \ln \left(-5+2 x^{2}+\left(1-2 \ln \left(2\right)\right) x \right)$&$26$\\ \hline \end{longtable}"," ",0,"4*ln(-2*x*ln(2)+2*x^2+x-5)-4*ln(x)","A"
2243,1,24,22,0.062000," ","int(1/5*(-15*ln(x)+(-6*x^2+3*x-3)*exp(-x^2+x+5)+5*x^2+15)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{3 \ln \left(x \right)}{x}+\frac{3 \,{\mathrm e}^{-x^{2}+x +5}}{5 x}$&$24$\\ norman&$\frac{x^{2}+\frac{3 \,{\mathrm e}^{-x^{2}+x +5}}{5}+3 \ln \left(x \right)}{x}$&$24$\\ risch&$\frac{3 \ln \left(x \right)}{x}+\frac{5 x^{2}+3 \,{\mathrm e}^{-x^{2}+x +5}}{5 x}$&$31$\\ \hline \end{longtable}"," ",0,"x+3*ln(x)/x+3/5/x*exp(-x^2+x+5)","A"
2244,1,24,23,0.325000," ","int(-2*exp(3)/((x^2-2*x)*exp(3)*ln((2-x)/x)+(-x^2+2*x)*exp(3)+2*x^2-4*x)/ln(1/(exp(3)*ln((2-x)/x)-exp(3)+2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(\frac{1}{{\mathrm e}^{3} \ln \left(\frac{2-x}{x}\right)-{\mathrm e}^{3}+2}\right)\right)$&$24$\\ \hline \end{longtable}"," ",0,"ln(ln(1/(exp(3)*ln((2-x)/x)-exp(3)+2)))","A"
2245,1,18,15,0.812000," ","int((-104*x^2+176*x-96)/(13*x^2+4*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-8 x +8 \ln \left(13 x^{2}+4 x +16\right)$&$18$\\ norman&$-8 x +8 \ln \left(13 x^{2}+4 x +16\right)$&$18$\\ risch&$-8 x +8 \ln \left(13 x^{2}+4 x +16\right)$&$18$\\ \hline \end{longtable}"," ",0,"-8*x+8*ln(13*x^2+4*x+16)","A"
2246,1,31,11,0.015000," ","int(((4*x^2+4*x+2)*ln(x)+4*x^4+12*x^3+10*x^2+4*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{4}+2 x^{2} \ln \left(x \right)+4 x^{2}+4 x^{3}+4 x \ln \left(x \right)+\ln \left(x \right)^{2}$&$31$\\ norman&$x^{4}+2 x^{2} \ln \left(x \right)+4 x^{2}+4 x^{3}+4 x \ln \left(x \right)+\ln \left(x \right)^{2}$&$31$\\ risch&$\ln \left(x \right)^{2}+\left(2 x^{2}+4 x \right) \ln \left(x \right)+x^{4}+4 x^{3}+4 x^{2}$&$31$\\ \hline \end{longtable}"," ",0,"x^4+2*x^2*ln(x)+4*x^2+4*x^3+4*x*ln(x)+ln(x)^2","B"
2247,1,15,15,0.460000," ","int((((x^2-3*x)*exp(x)-3)*exp(exp(x))-x^2+6*x-9)/(x^2-6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{{\mathrm e}^{{\mathrm e}^{x}} x}{x -3}$&$15$\\ norman&$\frac{x \,{\mathrm e}^{{\mathrm e}^{x}}-x^{2}+9}{x -3}$&$19$\\ \hline \end{longtable}"," ",0,"-x+exp(exp(x))/(x-3)*x","A"
2248,1,17,16,0.029000," ","int(1/18*x*(ln(5)+I*Pi)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{2} {\mathrm e}^{-3} \left(\ln \left(5\right)+i \pi \right)}{36}$&$17$\\ default&$\frac{x^{2} {\mathrm e}^{-3} \left(\ln \left(5\right)+i \pi \right)}{36}$&$17$\\ norman&$\frac{x^{2} {\mathrm e}^{-3} \left(\ln \left(5\right)+i \pi \right)}{36}$&$17$\\ risch&$\frac{i \pi  \,{\mathrm e}^{-3} x^{2}}{36}+\frac{\ln \left(5\right) {\mathrm e}^{-3} x^{2}}{36}$&$20$\\ \hline \end{longtable}"," ",0,"1/36*x^2/exp(3)*(ln(5)+I*Pi)","A"
2249,1,27,22,0.172000," ","int((-4*exp(1)*ln(3)^2+(x+1)*exp(1))/(16*(x+1)*ln(3)^4*ln(x+1)^2+(16*(6*x+6)*ln(3)^4+4*(-2*x^2+2)*ln(3)^2)*ln(x+1)+16*(9*x+9)*ln(3)^4+4*(-6*x^2+6)*ln(3)^2+x^3-x^2-x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}}{4 \ln \left(3\right)^{2} \ln \left(x +1\right)+12 \ln \left(3\right)^{2}-x +1}$&$27$\\ risch&$\frac{{\mathrm e}}{4 \ln \left(3\right)^{2} \ln \left(x +1\right)+12 \ln \left(3\right)^{2}-x +1}$&$27$\\ \hline \end{longtable}"," ",0,"exp(1)/(4*ln(3)^2*ln(x+1)+12*ln(3)^2-x+1)","A"
2250,1,30,24,0.060000," ","int(1/2*(((-2*x-2)*exp(x)+2*ln(3)-6*x^2-3*x)*ln(x)^2-20*x*ln(x)+10*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{x} x -\frac{3 x^{2}}{4}-x^{3}-\frac{5 x^{2}}{\ln \left(x \right)}+x \ln \left(3\right)$&$30$\\ risch&$-{\mathrm e}^{x} x -\frac{3 x^{2}}{4}-x^{3}-\frac{5 x^{2}}{\ln \left(x \right)}+x \ln \left(3\right)$&$30$\\ norman&$\frac{x \ln \left(3\right) \ln \left(x \right)-5 x^{2}-\frac{3 x^{2} \ln \left(x \right)}{4}-x^{3} \ln \left(x \right)-x \,{\mathrm e}^{x} \ln \left(x \right)}{\ln \left(x \right)}$&$39$\\ \hline \end{longtable}"," ",0,"-exp(x)*x-3/4*x^2-x^3-5*x^2/ln(x)+x*ln(3)","A"
2251,1,14,16,0.023000," ","int((3*x^4*ln(x)+x^4+x^2+4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{3} \ln \left(x \right)+x -\frac{4}{x}$&$14$\\ norman&$\frac{-4+x^{2}+x^{4} \ln \left(x \right)}{x}$&$16$\\ risch&$x^{3} \ln \left(x \right)+\frac{x^{2}-4}{x}$&$17$\\ \hline \end{longtable}"," ",0,"x^3*ln(x)+x-4/x","A"
2252,1,107,27,0.302000," ","int((32*(2*x^4-8*x^3+8*x-2)*ln(2)^5+16*(-10*x^5-10*x^4+200*x^3-40*x^2-190*x+50)*ln(2)^4+8*(20*x^6+120*x^5-300*x^4-1918*x^3+780*x^2+1798*x-500)*ln(2)^3+4*(-20*x^7-220*x^6-300*x^5+3418*x^4+8774*x^3-5690*x^2-8470*x+2500)*ln(2)^2+2*(10*x^8+160*x^7+700*x^6-962*x^5-12908*x^4-18904*x^3+18400*x^2+19850*x-6250)*ln(2)-2*x^9-42*x^8-300*x^7-506*x^6+3546*x^5+16596*x^4+14924*x^3-22250*x^2-18500*x+6250)/(32*x^3*ln(2)^5+16*(-5*x^4-25*x^3)*ln(2)^4+8*(10*x^5+100*x^4+250*x^3)*ln(2)^3+4*(-10*x^6-150*x^5-750*x^4-1250*x^3)*ln(2)^2+2*(5*x^7+100*x^6+750*x^5+2500*x^4+3125*x^3)*ln(2)-x^8-25*x^7-250*x^6-1250*x^5-3125*x^4-3125*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-8 x -\frac{-8 \ln \left(2\right)^{2}+56 \ln \left(2\right)-92}{\left(2 \ln \left(2\right)-5\right) \left(5-2 \ln \left(2\right)+x \right)^{2}}-\frac{2 \left(-4 \ln \left(2\right)^{2}+20 \ln \left(2\right)-24\right)}{\left(2 \ln \left(2\right)-5\right)^{2} \left(5-2 \ln \left(2\right)+x \right)}+\frac{1}{\left(5-2 \ln \left(2\right)+x \right)^{4}}-\frac{2 \left(16 \ln \left(2\right)^{2}-80 \ln \left(2\right)+99\right)}{\left(2 \ln \left(2\right)-5\right)^{2} x}+\frac{1}{x^{2}}$&$107$\\ risch&$x^{2}-8 x +\frac{-6 x^{5}+16 \left(\frac{7 \ln \left(2\right)}{2}-\frac{147}{16}\right) x^{4}+16 \left(-\frac{23 \ln \left(2\right)^{2}}{2}+59 \ln \left(2\right)-\frac{151}{2}\right) x^{3}+16 \left(16 \ln \left(2\right)^{3}-\frac{241 \ln \left(2\right)^{2}}{2}+302 \ln \left(2\right)-\frac{4029}{16}\right) x^{2}+16 \left(-8 \ln \left(2\right)^{4}+78 \ln \left(2\right)^{3}-\frac{569 \ln \left(2\right)^{2}}{2}+460 \ln \left(2\right)-\frac{2225}{8}\right) x +16 \ln \left(2\right)^{4}-160 \ln \left(2\right)^{3}+600 \ln \left(2\right)^{2}-1000 \ln \left(2\right)+625}{x^{2} \left(16 \ln \left(2\right)^{4}-32 x \ln \left(2\right)^{3}+24 x^{2} \ln \left(2\right)^{2}-8 x^{3} \ln \left(2\right)+x^{4}-160 \ln \left(2\right)^{3}+240 x \ln \left(2\right)^{2}-120 x^{2} \ln \left(2\right)+20 x^{3}+600 \ln \left(2\right)^{2}-600 x \ln \left(2\right)+150 x^{2}-1000 \ln \left(2\right)+500 x +625\right)}$&$198$\\ norman&$\frac{x^{8}+\left(12-8 \ln \left(2\right)\right) x^{7}+\left(-128 \ln \left(2\right)^{4}+1248 \ln \left(2\right)^{3}-4552 \ln \left(2\right)^{2}+7360 \ln \left(2\right)-4450\right) x +\left(160 \ln \left(2\right)^{3}-880 \ln \left(2\right)^{2}+1400 \ln \left(2\right)-506\right) x^{5}+\left(-560 \ln \left(2\right)^{4}+4320 \ln \left(2\right)^{3}-11400 \ln \left(2\right)^{2}+11056 \ln \left(2\right)-2022\right) x^{4}+\left(768 \ln \left(2\right)^{5}-7680 \ln \left(2\right)^{4}+28800 \ln \left(2\right)^{3}-48184 \ln \left(2\right)^{2}+30944 \ln \left(2\right)-1208\right) x^{3}+\left(-384 \ln \left(2\right)^{6}+4736 \ln \left(2\right)^{5}-23200 \ln \left(2\right)^{4}+56256 \ln \left(2\right)^{3}-66928 \ln \left(2\right)^{2}+29832 \ln \left(2\right)+2221\right) x^{2}+16 \ln \left(2\right)^{4}-160 \ln \left(2\right)^{3}+600 \ln \left(2\right)^{2}-1000 \ln \left(2\right)+625}{x^{2} \left(2 \ln \left(2\right)-x -5\right)^{4}}$&$203$\\ gosper&$-\frac{-625+4450 x +23200 x^{2} \ln \left(2\right)^{4}+7680 x^{3} \ln \left(2\right)^{4}-160 x^{5} \ln \left(2\right)^{3}-28800 x^{3} \ln \left(2\right)^{3}-16 \ln \left(2\right)^{4}+1000 \ln \left(2\right)-600 \ln \left(2\right)^{2}+160 \ln \left(2\right)^{3}-12 x^{7}-x^{8}+2022 x^{4}+1208 x^{3}-2221 x^{2}+506 x^{5}-56256 x^{2} \ln \left(2\right)^{3}-4320 x^{4} \ln \left(2\right)^{3}-1248 x \ln \left(2\right)^{3}-768 x^{3} \ln \left(2\right)^{5}+880 x^{5} \ln \left(2\right)^{2}+8 x^{7} \ln \left(2\right)+128 x \ln \left(2\right)^{4}+11400 x^{4} \ln \left(2\right)^{2}+48184 x^{3} \ln \left(2\right)^{2}+4552 x \ln \left(2\right)^{2}-11056 x^{4} \ln \left(2\right)-1400 x^{5} \ln \left(2\right)+66928 x^{2} \ln \left(2\right)^{2}-7360 x \ln \left(2\right)-29832 x^{2} \ln \left(2\right)-30944 x^{3} \ln \left(2\right)+384 \ln \left(2\right)^{6} x^{2}-4736 x^{2} \ln \left(2\right)^{5}+560 \ln \left(2\right)^{4} x^{4}}{x^{2} \left(16 \ln \left(2\right)^{4}-32 x \ln \left(2\right)^{3}+24 x^{2} \ln \left(2\right)^{2}-8 x^{3} \ln \left(2\right)+x^{4}-160 \ln \left(2\right)^{3}+240 x \ln \left(2\right)^{2}-120 x^{2} \ln \left(2\right)+20 x^{3}+600 \ln \left(2\right)^{2}-600 x \ln \left(2\right)+150 x^{2}-1000 \ln \left(2\right)+500 x +625\right)}$&$334$\\ \hline \end{longtable}"," ",0,"x^2-8*x-(-8*ln(2)^2+56*ln(2)-92)/(2*ln(2)-5)/(5-2*ln(2)+x)^2-2*(-4*ln(2)^2+20*ln(2)-24)/(2*ln(2)-5)^2/(5-2*ln(2)+x)+1/(5-2*ln(2)+x)^4-2*(16*ln(2)^2-80*ln(2)+99)/(2*ln(2)-5)^2/x+1/x^2","B"
2253,1,152,23,0.202000," ","int(((8*x-8)*exp(x-ln(x))^8+((8*x^3+24*x^2-20*x)*exp(x^2)-24*x^2+20*x)*exp(x-ln(x))^6+((24*x^4+24*x^3-12*x^2)*exp(x^2)^2+(-24*x^4-48*x^3+24*x^2)*exp(x^2)+24*x^3-12*x^2)*exp(x-ln(x))^4+((24*x^5+8*x^4+4*x^3)*exp(x^2)^3+(-48*x^5-24*x^4-12*x^3)*exp(x^2)^2+(24*x^5+24*x^4+12*x^3)*exp(x^2)-8*x^4-4*x^3)*exp(x-ln(x))^2+(8*x^6+4*x^4)*exp(x^2)^4+(-24*x^6-16*x^4)*exp(x^2)^3+(24*x^6+24*x^4)*exp(x^2)^2+(-8*x^6-16*x^4)*exp(x^2)+4*x^4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4} {\mathrm e}^{4 x^{2}}+\frac{{\mathrm e}^{8 x}}{x^{8}}-4 x^{4} {\mathrm e}^{3 x^{2}}+6 x^{4} {\mathrm e}^{2 x^{2}}-4 x^{4} {\mathrm e}^{x^{2}}+x^{4}+\frac{\left(4 \,{\mathrm e}^{x^{2}} x -4 x \right) {\mathrm e}^{6 x}}{x^{6}}+\frac{\left(6 x^{2} {\mathrm e}^{2 x^{2}}-12 x^{2} {\mathrm e}^{x^{2}}+6 x^{2}\right) {\mathrm e}^{4 x}}{x^{4}}+\frac{\left(4 x^{3} {\mathrm e}^{3 x^{2}}-12 x^{3} {\mathrm e}^{2 x^{2}}+12 x^{3} {\mathrm e}^{x^{2}}-4 x^{3}\right) {\mathrm e}^{2 x}}{x^{2}}$&$152$\\ \hline \end{longtable}"," ",0,"x^4*exp(4*x^2)+1/x^8*exp(8*x)-4*x^4*exp(3*x^2)+6*x^4*exp(2*x^2)-4*x^4*exp(x^2)+x^4+(4*exp(x^2)*x-4*x)/x^6*exp(6*x)+(6*x^2*exp(2*x^2)-12*x^2*exp(x^2)+6*x^2)/x^4*exp(4*x)+(4*x^3*exp(3*x^2)-12*x^3*exp(2*x^2)+12*x^3*exp(x^2)-4*x^3)/x^2*exp(2*x)","B"
2254,1,19,18,0.048000," ","int(((-12*x-12)*exp(x^2+2*x-2)+16)*exp(-3*exp(x^2+2*x-2)+8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \,{\mathrm e}^{-3 \,{\mathrm e}^{x^{2}+2 x -2}+8 x}$&$19$\\ risch&$2 \,{\mathrm e}^{-3 \,{\mathrm e}^{x^{2}+2 x -2}+8 x}$&$19$\\ \hline \end{longtable}"," ",0,"2*exp(-3*exp(x^2+2*x-2)+8*x)","A"
2255,1,57,27,0.084000," ","int(((5*x^9-75*x^8+450*x^7-1350*x^6+1993*x^5-735*x^4-2016*x^3+2592*x^2-768*x-768)*exp(5)-10*x^6+200*x^5-1650*x^4+7200*x^3-17550*x^2+22680*x-12150)/(x^5-15*x^4+90*x^3-270*x^2+405*x-243),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{5} {\mathrm e}^{5}-5 x^{2}+50 x -32 x \,{\mathrm e}^{5}-\frac{864 \,{\mathrm e}^{5}}{\left(x -3\right)^{2}}-\frac{864 \,{\mathrm e}^{5}}{x -3}+\frac{768 \,{\mathrm e}^{5}}{\left(x -3\right)^{4}}+\frac{256 \,{\mathrm e}^{5}}{\left(x -3\right)^{3}}$&$57$\\ risch&$x^{5} {\mathrm e}^{5}-32 x \,{\mathrm e}^{5}-5 x^{2}+50 x +\frac{-864 x^{3} {\mathrm e}^{5}+6912 x^{2} {\mathrm e}^{5}-17888 x \,{\mathrm e}^{5}+15552 \,{\mathrm e}^{5}}{x^{4}-12 x^{3}+54 x^{2}-108 x +81}$&$66$\\ norman&$\frac{{\mathrm e}^{5} x^{9}-12 x^{8} {\mathrm e}^{5}+54 x^{7} {\mathrm e}^{5}+\left(-5-108 \,{\mathrm e}^{5}\right) x^{6}+\left(110+49 \,{\mathrm e}^{5}\right) x^{5}+70470+\left(-7200+2016 \,{\mathrm e}^{5}\right) x^{3}+\left(41175-10368 \,{\mathrm e}^{5}\right) x^{2}+\left(-89910+20992 \,{\mathrm e}^{5}\right) x -15552 \,{\mathrm e}^{5}}{\left(x -3\right)^{4}}$&$81$\\ gosper&$\frac{{\mathrm e}^{5} x^{9}-12 x^{8} {\mathrm e}^{5}+54 x^{7} {\mathrm e}^{5}-108 x^{6} {\mathrm e}^{5}+49 x^{5} {\mathrm e}^{5}-5 x^{6}+110 x^{5}+2016 x^{3} {\mathrm e}^{5}-10368 x^{2} {\mathrm e}^{5}-7200 x^{3}+20992 x \,{\mathrm e}^{5}+41175 x^{2}-15552 \,{\mathrm e}^{5}-89910 x +70470}{x^{4}-12 x^{3}+54 x^{2}-108 x +81}$&$104$\\ \hline \end{longtable}"," ",0,"x^5*exp(5)-5*x^2+50*x-32*x*exp(5)-864*exp(5)/(x-3)^2-864/(x-3)*exp(5)+768*exp(5)/(x-3)^4+256*exp(5)/(x-3)^3","B"
2256,1,163,23,0.148000," ","int((2*x^2*ln(x)+4*x^3-4*x^2-6*x-12)*ln(ln(((9*x^2-27*x)*ln(x)+9*x^3-27*x^2-18*x+54)/x))/((9*x^3-27*x^2)*ln(x)+9*x^4-27*x^3-18*x^2+54*x)/ln(((9*x^2-27*x)*ln(x)+9*x^3-27*x^2-18*x+54)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(2 \ln \left(3\right)-\ln \left(x \right)+\ln \left(6+x^{3}+\left(\ln \left(x \right)-3\right) x^{2}+\left(-3 \ln \left(x \right)-2\right) x \right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(6+x^{3}+\left(\ln \left(x \right)-3\right) x^{2}+\left(-3 \ln \left(x \right)-2\right) x \right)}{x}\right) \left(-\mathrm{csgn}\left(\frac{i \left(6+x^{3}+\left(\ln \left(x \right)-3\right) x^{2}+\left(-3 \ln \left(x \right)-2\right) x \right)}{x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(6+x^{3}+\left(\ln \left(x \right)-3\right) x^{2}+\left(-3 \ln \left(x \right)-2\right) x \right)}{x}\right)+\mathrm{csgn}\left(i \left(6+x^{3}+\left(\ln \left(x \right)-3\right) x^{2}+\left(-3 \ln \left(x \right)-2\right) x \right)\right)\right)}{2}\right)^{2}}{9}$&$163$\\ \hline \end{longtable}"," ",0,"1/9*ln(2*ln(3)-ln(x)+ln(6+x^3+(ln(x)-3)*x^2+(-3*ln(x)-2)*x)-1/2*I*Pi*csgn(I/x*(6+x^3+(ln(x)-3)*x^2+(-3*ln(x)-2)*x))*(-csgn(I/x*(6+x^3+(ln(x)-3)*x^2+(-3*ln(x)-2)*x))+csgn(I/x))*(-csgn(I/x*(6+x^3+(ln(x)-3)*x^2+(-3*ln(x)-2)*x))+csgn(I*(6+x^3+(ln(x)-3)*x^2+(-3*ln(x)-2)*x))))^2","C"
2257,1,14,17,0.023000," ","int(1/5*(-2*exp(x)^2+8*x^3-4*x^2)/exp(x)^2/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{2}{5 x}-\frac{4 x \,{\mathrm e}^{-2 x}}{5}$&$14$\\ risch&$\frac{2}{5 x}-\frac{4 x \,{\mathrm e}^{-2 x}}{5}$&$14$\\ norman&$\frac{\left(-\frac{4 x^{2}}{5}+\frac{2 \,{\mathrm e}^{2 x}}{5}\right) {\mathrm e}^{-2 x}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"2/5/x-4/5*x/exp(x)^2","A"
2258,1,134,23,1.214000," ","int(((12*x^3-6*x^2)*ln(1/2*(10*x-5)/x)+(4*x^2-4*x+1)*exp(x)+4*x^2)/((16*x^7-8*x^6)*ln(1/2*(10*x-5)/x)^3+(24*x^5-12*x^4)*exp(x)*ln(1/2*(10*x-5)/x)^2+(12*x^3-6*x^2)*exp(x)^2*ln(1/2*(10*x-5)/x)+(2*x-1)*exp(x)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{\left(2 x^{2} \ln \left(x -\frac{1}{2}\right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -\frac{1}{2}\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -\frac{1}{2}\right)}{x}\right)^{2} \mathrm{csgn}\left(i \left(x -\frac{1}{2}\right)\right)-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -\frac{1}{2}\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -\frac{1}{2}\right)\right)-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -\frac{1}{2}\right)}{x}\right)^{3}+2 x^{2} \ln \left(5\right)-2 x^{2} \ln \left(x \right)+{\mathrm e}^{x}\right)^{2}}$&$134$\\ \hline \end{longtable}"," ",0,"-x/(2*x^2*ln(x-1/2)+I*Pi*x^2*csgn(I/x*(x-1/2))^2*csgn(I/x)+I*Pi*x^2*csgn(I/x*(x-1/2))^2*csgn(I*(x-1/2))-I*Pi*x^2*csgn(I/x*(x-1/2))*csgn(I/x)*csgn(I*(x-1/2))-I*Pi*x^2*csgn(I/x*(x-1/2))^3+2*x^2*ln(5)-2*x^2*ln(x)+exp(x))^2","C"
2259,1,18,18,0.048000," ","int((5*exp(x)^4+30*exp(x)^2+exp(1)+25)/(exp(x)^4+10*exp(x)^2+exp(1)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\ln \left({\mathrm e}^{4 x}+10 \,{\mathrm e}^{2 x}+{\mathrm e}+25\right)$&$18$\\ risch&$x +\ln \left({\mathrm e}^{4 x}+10 \,{\mathrm e}^{2 x}+{\mathrm e}+25\right)$&$18$\\ derivativedivides&$\ln \left(\left({\mathrm e}^{4 x}+10 \,{\mathrm e}^{2 x}+{\mathrm e}+25\right) {\mathrm e}^{x}\right)$&$19$\\ default&$\ln \left(\left({\mathrm e}^{4 x}+10 \,{\mathrm e}^{2 x}+{\mathrm e}+25\right) {\mathrm e}^{x}\right)$&$19$\\ \hline \end{longtable}"," ",0,"x+ln(exp(x)^4+10*exp(x)^2+exp(1)+25)","A"
2260,1,15,17,0.467000," ","int(25*x^4*ln(3/4)^4/(5*x^5*ln(3/4)^4-32*exp(25)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline meijerg&$\ln \left(1-\frac{5 x^{5} \ln \left(\frac{3}{4}\right)^{4} {\mathrm e}^{-50}}{32}\right)$&$15$\\ derivativedivides&$\ln \left(5 x^{5} \ln \left(\frac{3}{4}\right)^{4}-32 \,{\mathrm e}^{50}\right)$&$18$\\ default&$\ln \left(5 x^{5} \ln \left(\frac{3}{4}\right)^{4}-32 \,{\mathrm e}^{50}\right)$&$18$\\ norman&$\ln \left(5 x^{5} \ln \left(\frac{3}{4}\right)^{4}-32 \,{\mathrm e}^{50}\right)$&$18$\\ risch&$\frac{16 \ln \left(\left(80 \ln \left(2\right)^{4}-160 \ln \left(3\right) \ln \left(2\right)^{3}+120 \ln \left(3\right)^{2} \ln \left(2\right)^{2}-40 \ln \left(2\right) \ln \left(3\right)^{3}+5 \ln \left(3\right)^{4}\right) x^{5}-32 \,{\mathrm e}^{50}\right) \ln \left(2\right)^{4}}{\ln \left(3\right)^{4}-8 \ln \left(2\right) \ln \left(3\right)^{3}+24 \ln \left(3\right)^{2} \ln \left(2\right)^{2}-32 \ln \left(3\right) \ln \left(2\right)^{3}+16 \ln \left(2\right)^{4}}-\frac{32 \ln \left(\left(80 \ln \left(2\right)^{4}-160 \ln \left(3\right) \ln \left(2\right)^{3}+120 \ln \left(3\right)^{2} \ln \left(2\right)^{2}-40 \ln \left(2\right) \ln \left(3\right)^{3}+5 \ln \left(3\right)^{4}\right) x^{5}-32 \,{\mathrm e}^{50}\right) \ln \left(2\right)^{3} \ln \left(3\right)}{\ln \left(3\right)^{4}-8 \ln \left(2\right) \ln \left(3\right)^{3}+24 \ln \left(3\right)^{2} \ln \left(2\right)^{2}-32 \ln \left(3\right) \ln \left(2\right)^{3}+16 \ln \left(2\right)^{4}}+\frac{24 \ln \left(\left(80 \ln \left(2\right)^{4}-160 \ln \left(3\right) \ln \left(2\right)^{3}+120 \ln \left(3\right)^{2} \ln \left(2\right)^{2}-40 \ln \left(2\right) \ln \left(3\right)^{3}+5 \ln \left(3\right)^{4}\right) x^{5}-32 \,{\mathrm e}^{50}\right) \ln \left(2\right)^{2} \ln \left(3\right)^{2}}{\ln \left(3\right)^{4}-8 \ln \left(2\right) \ln \left(3\right)^{3}+24 \ln \left(3\right)^{2} \ln \left(2\right)^{2}-32 \ln \left(3\right) \ln \left(2\right)^{3}+16 \ln \left(2\right)^{4}}-\frac{8 \ln \left(\left(80 \ln \left(2\right)^{4}-160 \ln \left(3\right) \ln \left(2\right)^{3}+120 \ln \left(3\right)^{2} \ln \left(2\right)^{2}-40 \ln \left(2\right) \ln \left(3\right)^{3}+5 \ln \left(3\right)^{4}\right) x^{5}-32 \,{\mathrm e}^{50}\right) \ln \left(2\right) \ln \left(3\right)^{3}}{\ln \left(3\right)^{4}-8 \ln \left(2\right) \ln \left(3\right)^{3}+24 \ln \left(3\right)^{2} \ln \left(2\right)^{2}-32 \ln \left(3\right) \ln \left(2\right)^{3}+16 \ln \left(2\right)^{4}}+\frac{\ln \left(\left(80 \ln \left(2\right)^{4}-160 \ln \left(3\right) \ln \left(2\right)^{3}+120 \ln \left(3\right)^{2} \ln \left(2\right)^{2}-40 \ln \left(2\right) \ln \left(3\right)^{3}+5 \ln \left(3\right)^{4}\right) x^{5}-32 \,{\mathrm e}^{50}\right) \ln \left(3\right)^{4}}{\ln \left(3\right)^{4}-8 \ln \left(2\right) \ln \left(3\right)^{3}+24 \ln \left(3\right)^{2} \ln \left(2\right)^{2}-32 \ln \left(3\right) \ln \left(2\right)^{3}+16 \ln \left(2\right)^{4}}$&$479$\\ \hline \end{longtable}"," ",0,"ln(1-5/32*x^5*ln(3/4)^4*exp(-50))","A"
2261,1,15,18,0.378000," ","int(((-2*x^3+2*x)*exp(-x^2+2*x)+2*x+1)/(x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x^{2}+x \right)+{\mathrm e}^{-\left(x -2\right) x}$&$15$\\ default&${\mathrm e}^{-x^{2}+2 x}+\ln \left(\left(x +1\right) x \right)$&$18$\\ norman&${\mathrm e}^{-x^{2}+2 x}+\ln \left(x +1\right)+\ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"ln(x^2+x)+exp(-(x-2)*x)","A"
2262,1,30,21,0.092000," ","int(((2*x*exp(1)+2*x^2)*exp(x)^2+exp(1)+2*x)*exp(exp(x)^2-1)+50*x*exp(1)+75*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x \,{\mathrm e}+x^{2}\right) {\mathrm e}^{{\mathrm e}^{2 x}-1}+25 x^{2} {\mathrm e}+25 x^{3}$&$30$\\ default&$x^{2} {\mathrm e}^{{\mathrm e}^{2 x}-1}+{\mathrm e} x \,{\mathrm e}^{{\mathrm e}^{2 x}-1}+25 x^{3}+25 x^{2} {\mathrm e}$&$36$\\ norman&$x^{2} {\mathrm e}^{{\mathrm e}^{2 x}-1}+{\mathrm e} x \,{\mathrm e}^{{\mathrm e}^{2 x}-1}+25 x^{3}+25 x^{2} {\mathrm e}$&$36$\\ \hline \end{longtable}"," ",0,"(x*exp(1)+x^2)*exp(exp(2*x)-1)+25*x^2*exp(1)+25*x^3","A"
2263,1,166,28,0.454000," ","int(((((x-4)*exp(1)*exp(4/x)+x*exp(1))*ln(x)^2+(-4*x^2+16*x)*exp(1)*exp(4/x)-4*x^2*exp(1))*ln((-ln(x)^2+4*x)/x)+(x*exp(1)*exp(4/x)+x*exp(1))*ln(x)^2+(-2*x*exp(1)*exp(4/x)-2*x*exp(1))*ln(x))/(2*x*ln(x)^2-8*x^2)/ln((-ln(x)^2+4*x)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{i \left({\mathrm e}^{\frac{4}{x}}+1\right) x \,{\mathrm e}}{-\pi  \,\mathrm{csgn}\left(i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)+\pi  \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right)}{x}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)-4 i \ln \left(2\right)+2 i \ln \left(x \right)-2 i \ln \left(-\frac{\ln \left(x \right)^{2}}{4}+x \right)}$&$166$\\ \hline \end{longtable}"," ",0,"-I*(exp(4/x)+1)*x*exp(1)/(-Pi*csgn(I*(1/4*ln(x)^2-x))*csgn(I/x*(1/4*ln(x)^2-x))^2-Pi*csgn(I*(1/4*ln(x)^2-x))*csgn(I/x*(1/4*ln(x)^2-x))*csgn(I/x)+Pi*csgn(I/x*(1/4*ln(x)^2-x))^3+Pi*csgn(I/x*(1/4*ln(x)^2-x))^2*csgn(I/x)-4*I*ln(2)+2*I*ln(x)-2*I*ln(-1/4*ln(x)^2+x))","C"
2264,1,27,28,0.089000," ","int(((6*x^4+14*x^3+23*x^2+35*x+75)*ln(x^2-x+3)-12*x^4-44*x^3-25*x^2+25*x)/(20*x^6+80*x^5+85*x^4+175*x^3+375*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(3 x +5\right) \ln \left(x^{2}-x +3\right)}{5 \left(5+2 x \right) x}$&$27$\\ norman&$\frac{-\frac{3 \ln \left(x^{2}-x +3\right) x}{5}-\ln \left(x^{2}-x +3\right)}{\left(5+2 x \right) x}$&$36$\\ \hline \end{longtable}"," ",0,"-1/5*(3*x+5)/(5+2*x)/x*ln(x^2-x+3)","A"
2265,1,48,24,0.032000," ","int(81*(-10*x^4+16*x^3)*ln(2)^4+9*(-16*x^3+24*x^2)*ln(2)^2-6*x^2+4*x+12,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-2 x \left(81 \ln \left(2\right)^{4} x^{4}-162 x^{3} \ln \left(2\right)^{4}+18 x^{3} \ln \left(2\right)^{2}-36 x^{2} \ln \left(2\right)^{2}+x^{2}-x -6\right)$&$48$\\ norman&$\left(72 \ln \left(2\right)^{2}-2\right) x^{3}+\left(324 \ln \left(2\right)^{4}-36 \ln \left(2\right)^{2}\right) x^{4}+12 x +2 x^{2}-162 x^{5} \ln \left(2\right)^{4}$&$48$\\ default&$81 \ln \left(2\right)^{4} \left(-2 x^{5}+4 x^{4}\right)+9 \ln \left(2\right)^{2} \left(-4 x^{4}+8 x^{3}\right)-2 x^{3}+2 x^{2}+12 x$&$49$\\ risch&$-162 x^{5} \ln \left(2\right)^{4}+324 \ln \left(2\right)^{4} x^{4}-36 x^{4} \ln \left(2\right)^{2}+72 x^{3} \ln \left(2\right)^{2}-2 x^{3}+2 x^{2}+12 x$&$51$\\ \hline \end{longtable}"," ",0,"-2*x*(81*ln(2)^4*x^4-162*x^3*ln(2)^4+18*x^3*ln(2)^2-36*x^2*ln(2)^2+x^2-x-6)","A"
2266,1,26,21,0.074000," ","int(((-16*ln(3/125)^4-x^2)*ln(3)+3*x^2)/x^2/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 x -x \ln \left(3\right)+\frac{16 \ln \left(3\right) \ln \left(\frac{3}{125}\right)^{4}}{x}}{\ln \left(3\right)}$&$26$\\ gosper&$\frac{16 \ln \left(3\right) \ln \left(\frac{3}{125}\right)^{4}-x^{2} \ln \left(3\right)+3 x^{2}}{\ln \left(3\right) x}$&$30$\\ norman&$\frac{-\frac{\left(\ln \left(3\right)-3\right) x^{2}}{\ln \left(3\right)}+1296 \ln \left(5\right)^{4}-1728 \ln \left(5\right)^{3} \ln \left(3\right)+864 \ln \left(5\right)^{2} \ln \left(3\right)^{2}-192 \ln \left(5\right) \ln \left(3\right)^{3}+16 \ln \left(3\right)^{4}}{x}$&$57$\\ risch&$\frac{3 x}{\ln \left(3\right)}-x +\frac{1296 \ln \left(5\right)^{4}}{x}-\frac{1728 \ln \left(3\right) \ln \left(5\right)^{3}}{x}+\frac{864 \ln \left(3\right)^{2} \ln \left(5\right)^{2}}{x}-\frac{192 \ln \left(3\right)^{3} \ln \left(5\right)}{x}+\frac{16 \ln \left(3\right)^{4}}{x}$&$65$\\ \hline \end{longtable}"," ",0,"1/ln(3)*(3*x-x*ln(3)+16*ln(3)*ln(3/125)^4/x)","A"
2267,1,31,26,0.249000," ","int((((16*x^2+16)*exp(4)+34*x^2+34)*ln(x^2+1)+(32*x^2+16*x)*exp(4)-8*x^3+60*x^2+32*x)/((16*x^2+16)*exp(4)^2+(-8*x^3+64*x^2-8*x+64)*exp(4)+x^4-16*x^3+65*x^2-16*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \ln \left(x^{2}+1\right)+4 x \ln \left(x^{2}+1\right)}{8+4 \,{\mathrm e}^{4}-x}$&$31$\\ risch&$\frac{2 \left(8 \,{\mathrm e}^{4}+17\right) \ln \left(x^{2}+1\right)}{8+4 \,{\mathrm e}^{4}-x}-4 \ln \left(x^{2}+1\right)$&$35$\\ default&$-\frac{128 \ln \left(-4 \,{\mathrm e}^{4}+x -8\right) \left({\mathrm e}^{4}\right)^{2}}{16 \left({\mathrm e}^{4}\right)^{2}+64 \,{\mathrm e}^{4}+65}-\frac{528 \ln \left(-4 \,{\mathrm e}^{4}+x -8\right) {\mathrm e}^{4}}{16 \left({\mathrm e}^{4}\right)^{2}+64 \,{\mathrm e}^{4}+65}-\frac{544 \ln \left(-4 \,{\mathrm e}^{4}+x -8\right)}{16 \left({\mathrm e}^{4}\right)^{2}+64 \,{\mathrm e}^{4}+65}+\frac{8 \ln \left(x^{2}+1\right) {\mathrm e}^{4}}{16 \,{\mathrm e}^{8}+64 \,{\mathrm e}^{4}+65}-\frac{32 \arctan \left(x \right) {\mathrm e}^{4}}{16 \,{\mathrm e}^{8}+64 \,{\mathrm e}^{4}+65}+\frac{12 \ln \left(x^{2}+1\right)}{16 \,{\mathrm e}^{8}+64 \,{\mathrm e}^{4}+65}-\frac{68 \arctan \left(x \right)}{16 \,{\mathrm e}^{8}+64 \,{\mathrm e}^{4}+65}+\frac{\left(\munderset{\underline{\hspace{1.25 ex}}\alpha  =\RootOf \left(\textit{\_Z}^{2}+\left(-8 \,{\mathrm e}^{4}-16\right) \textit{\_Z} +64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}+64\right)}{\sum}\left(\frac{\underline{\hspace{1.25 ex}}\alpha}{\left({\mathrm e}^{4}\right)^{2}-{\mathrm e}^{8}}-\frac{4 \left(2+{\mathrm e}^{4}\right)}{\left({\mathrm e}^{4}\right)^{2}-{\mathrm e}^{8}}\right) \left(\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(x^{2}+1\right)-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{-\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}+x}{\underline{\hspace{1.25 ex}}\alpha  -\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}}\right)-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}+x}{\underline{\hspace{1.25 ex}}\alpha  +\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}}\right)-\dilog \left(\frac{-\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}+x}{\underline{\hspace{1.25 ex}}\alpha  -\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}}\right)-\dilog \left(\frac{\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}+x}{\underline{\hspace{1.25 ex}}\alpha  +\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}}\right)\right)\right) {\mathrm e}^{4}}{2}+\frac{17 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha  =\RootOf \left(\textit{\_Z}^{2}+\left(-8 \,{\mathrm e}^{4}-16\right) \textit{\_Z} +64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}+64\right)}{\sum}\left(\frac{\underline{\hspace{1.25 ex}}\alpha}{\left({\mathrm e}^{4}\right)^{2}-{\mathrm e}^{8}}-\frac{4 \left(2+{\mathrm e}^{4}\right)}{\left({\mathrm e}^{4}\right)^{2}-{\mathrm e}^{8}}\right) \left(\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(x^{2}+1\right)-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{-\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}+x}{\underline{\hspace{1.25 ex}}\alpha  -\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}}\right)-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}+x}{\underline{\hspace{1.25 ex}}\alpha  +\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}}\right)-\dilog \left(\frac{-\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}+x}{\underline{\hspace{1.25 ex}}\alpha  -\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}}\right)-\dilog \left(\frac{\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}+x}{\underline{\hspace{1.25 ex}}\alpha  +\sqrt{\underline{\hspace{1.25 ex}}\alpha^{2}-8 \underline{\hspace{1.25 ex}}\alpha  \,{\mathrm e}^{4}+64 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{8}-16 \underline{\hspace{1.25 ex}}\alpha  +63}}\right)\right)\right)}{16}$&$792$\\ \hline \end{longtable}"," ",0,"(2*ln(x^2+1)+4*x*ln(x^2+1))/(8+4*exp(4)-x)","A"
2268,1,20,21,0.063000," ","int((-50*exp(4)*ln(x)^2+(-10*exp(3)-30)*exp(4)*ln(x)+(10*exp(3)+30)*exp(4))/(175*x^2*ln(x)^2+(70*x^2*exp(3)+210*x^2)*ln(x)+7*x^2*exp(3)^2+42*x^2*exp(3)+63*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{10 \,{\mathrm e}^{4} \ln \left(x \right)}{7 x \left(3+5 \ln \left(x \right)+{\mathrm e}^{3}\right)}$&$20$\\ risch&$\frac{2 \,{\mathrm e}^{4}}{7 x}-\frac{2 \,{\mathrm e}^{4} \left({\mathrm e}^{3}+3\right)}{7 x \left(3+5 \ln \left(x \right)+{\mathrm e}^{3}\right)}$&$30$\\ \hline \end{longtable}"," ",0,"10/7*exp(4)*ln(x)/x/(3+5*ln(x)+exp(3))","A"
2269,1,19,16,0.044000," ","int(((3*x-24)*ln(ln(2))+x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\frac{3 \ln \left(\ln \left(2\right)\right)}{x}+\frac{12 \ln \left(\ln \left(2\right)\right)}{x^{2}}$&$19$\\ risch&$x +\frac{-3 x \ln \left(\ln \left(2\right)\right)+12 \ln \left(\ln \left(2\right)\right)}{x^{2}}$&$19$\\ norman&$\frac{x^{3}-3 x \ln \left(\ln \left(2\right)\right)+12 \ln \left(\ln \left(2\right)\right)}{x^{2}}$&$20$\\ gosper&$-\frac{-x^{3}+3 x \ln \left(\ln \left(2\right)\right)-12 \ln \left(\ln \left(2\right)\right)}{x^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"x-3*ln(ln(2))/x+12*ln(ln(2))/x^2","A"
2270,1,13,21,0.014000," ","int((-2*x^2*ln(x)^3+6)/x/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}-\frac{3}{\ln \left(x \right)^{2}}$&$13$\\ risch&$-x^{2}-\frac{3}{\ln \left(x \right)^{2}}$&$13$\\ norman&$\frac{-3-x^{2} \ln \left(x \right)^{2}}{\ln \left(x \right)^{2}}$&$17$\\ \hline \end{longtable}"," ",0,"-x^2-3/ln(x)^2","A"
2271,1,14,15,0.026000," ","int(((2*x^2+6*x)*ln(3+x)+x^2)/((x^3+3*x^2)*ln(3+x)+10*x+30)/ln(1/5*ln(3+x)*x^2+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\frac{\ln \left(3+x \right) x^{2}}{5}+2\right)\right)$&$14$\\ \hline \end{longtable}"," ",0,"ln(ln(1/5*ln(3+x)*x^2+2))","A"
2272,1,26,23,0.135000," ","int((-3*ln(x)-3*exp(2)*x-2*x^2-x+3)/((9*x^2*exp(2)^2+(6*x^2-18*x)*exp(2)+x^2-6*x+9)*ln(x)^2+(12*x^3*exp(2)+4*x^3-12*x^2)*ln(x)+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{3 x \,{\mathrm e}^{2} \ln \left(x \right)+x \ln \left(x \right)+2 x^{2}-3 \ln \left(x \right)}$&$26$\\ risch&$\frac{x}{3 x \,{\mathrm e}^{2} \ln \left(x \right)+x \ln \left(x \right)+2 x^{2}-3 \ln \left(x \right)}$&$26$\\ \hline \end{longtable}"," ",0,"x/(3*x*exp(2)*ln(x)+x*ln(x)+2*x^2-3*ln(x))","A"
2273,1,38,27,0.052000," ","int((-8*x^6-24*x^5+42*x^4+23*x^3-84*x^2-48*x+64)/(8*x^8+4*x^7-60*x^6-8*x^5+143*x^4-36*x^3-112*x^2+64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-\ln \left(4 x^{5}-22 x^{3}+7 x^{2}+24 x -16\right)+2 \ln \left(2 x^{2}+x -4\right)$&$38$\\ norman&$\ln \left(x \right)-\ln \left(4 x^{5}-22 x^{3}+7 x^{2}+24 x -16\right)+2 \ln \left(2 x^{2}+x -4\right)$&$38$\\ risch&$\ln \left(x \right)-\ln \left(4 x^{5}-22 x^{3}+7 x^{2}+24 x -16\right)+2 \ln \left(2 x^{2}+x -4\right)$&$38$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(4*x^5-22*x^3+7*x^2+24*x-16)+2*ln(2*x^2+x-4)","A"
2274,1,22,26,0.038000," ","int((8*x^5+110*x^4+622*x^3+1630*x^2+1568*x-512)/(x^5+14*x^4+81*x^3+224*x^2+256*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$8 x -\frac{2 x}{x^{2}+7 x +16}-2 \ln \left(x \right)$&$22$\\ risch&$8 x -\frac{2 x}{x^{2}+7 x +16}-2 \ln \left(x \right)$&$22$\\ norman&$\frac{8 x^{3}-266 x -896}{x^{2}+7 x +16}-2 \ln \left(x \right)$&$27$\\ \hline \end{longtable}"," ",0,"8*x-2*x/(x^2+7*x+16)-2*ln(x)","A"
2275,1,174,28,0.195000," ","int(((-16*x+2048)*exp(16/x)*ln(16*x/(x-128))^2+(3*x-384)*ln(16*x/(x-128))-384)/((x^3-128*x^2)*exp(16/x)^2*ln(16*x/(x-128))^2+(-6*x^2+768*x)*exp(16/x)*ln(16*x/(x-128))+9*x-1152),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-\frac{16}{x}}+\frac{6 i {\mathrm e}^{-\frac{16}{x}}}{\pi  x \,\mathrm{csgn}\left(\frac{i}{x -128}\right) \mathrm{csgn}\left(\frac{i x}{x -128}\right)^{2} {\mathrm e}^{\frac{16}{x}}-\pi  x \,\mathrm{csgn}\left(\frac{i}{x -128}\right) \mathrm{csgn}\left(\frac{i x}{x -128}\right) \mathrm{csgn}\left(i x \right) {\mathrm e}^{\frac{16}{x}}-\pi  x \mathrm{csgn}\left(\frac{i x}{x -128}\right)^{3} {\mathrm e}^{\frac{16}{x}}+\pi  x \mathrm{csgn}\left(\frac{i x}{x -128}\right)^{2} \mathrm{csgn}\left(i x \right) {\mathrm e}^{\frac{16}{x}}-8 i \ln \left(2\right) x \,{\mathrm e}^{\frac{16}{x}}-2 i {\mathrm e}^{\frac{16}{x}} x \ln \left(x \right)+2 i {\mathrm e}^{\frac{16}{x}} x \ln \left(x -128\right)+6 i}$&$174$\\ \hline \end{longtable}"," ",0,"-exp(-16/x)+6*I*exp(-16/x)/(Pi*x*csgn(I/(x-128))*csgn(I*x/(x-128))^2*exp(16/x)-Pi*x*csgn(I/(x-128))*csgn(I*x/(x-128))*csgn(I*x)*exp(16/x)-Pi*x*csgn(I*x/(x-128))^3*exp(16/x)+Pi*x*csgn(I*x/(x-128))^2*csgn(I*x)*exp(16/x)-8*I*ln(2)*x*exp(16/x)-2*I*exp(16/x)*x*ln(x)+2*I*exp(16/x)*x*ln(x-128)+6*I)","C"
2276,1,27,24,0.051000," ","int(((-98*x^2-1008*x-2592)*ln(x)^2+(-112*x^3-864*x^2)*ln(x)+56*x^3+288*x^2)/((49*x^4+504*x^3+1296*x^2)*ln(x)^2+(56*x^5+288*x^4)*ln(x)+16*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{x}-\frac{8 x}{7 x \ln \left(x \right)+4 x^{2}+36 \ln \left(x \right)}$&$27$\\ norman&$\frac{14 x \ln \left(x \right)+72 \ln \left(x \right)}{x \left(7 x \ln \left(x \right)+4 x^{2}+36 \ln \left(x \right)\right)}$&$32$\\ \hline \end{longtable}"," ",0,"2/x-8*x/(7*x*ln(x)+4*x^2+36*ln(x))","A"
2277,1,25,25,0.625000," ","int((((16*x*exp(4)-16*x+8)*ln(x)+32*x*exp(4)-32*x+16)*ln(ln(x)+2)+(x+1)*ln(x)^4+((6*x^2+6*x)*exp(4)-6*x^2-4*x+2)*ln(x)^3+((12*x^3+12*x^2)*exp(4)^2+(-24*x^3-12*x^2+12*x)*exp(4)+12*x^3-12*x)*ln(x)^2+((8*x^4+8*x^3)*exp(4)^3+(-24*x^4+24*x^2)*exp(4)^2+(24*x^4-24*x^3-48*x^2)*exp(4)-8*x^4+16*x^3+24*x^2-4)*ln(x)+(16*x^4+16*x^3)*exp(4)^3+(-48*x^4-48*x^3)*exp(4)^2+(48*x^4+48*x^3-8*x)*exp(4)-16*x^4-16*x^3+8*x)/(x*ln(x)^4+(6*x^2*exp(4)-6*x^2+2*x)*ln(x)^3+(12*x^3*exp(4)^2+(-24*x^3+12*x^2)*exp(4)+12*x^3-12*x^2)*ln(x)^2+(8*x^4*exp(4)^3+(-24*x^4+24*x^3)*exp(4)^2+(24*x^4-48*x^3)*exp(4)-8*x^4+24*x^3)*ln(x)+16*x^4*exp(4)^3-48*x^4*exp(4)^2+48*x^4*exp(4)-16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \ln \left(\ln \left(x \right)+2\right)}{\left(2 x \,{\mathrm e}^{4}+\ln \left(x \right)-2 x \right)^{2}}+x +\ln \left(x \right)$&$25$\\ \hline \end{longtable}"," ",0,"-4/(2*x*exp(4)+ln(x)-2*x)^2*ln(ln(x)+2)+x+ln(x)","A"
2278,1,19,17,0.031000," ","int(((5*exp(x)^2+x^2+8)*ln(exp(x)^2+1/5*x^2+8/5)+20*x*exp(x)^2+4*x^2)/(5*x*exp(x)^2+x^3+8*x)/ln(exp(x)^2+1/5*x^2+8/5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+2 \ln \left(\ln \left({\mathrm e}^{2 x}+\frac{x^{2}}{5}+\frac{8}{5}\right)\right)$&$19$\\ \hline \end{longtable}"," ",0,"ln(x)+2*ln(ln(exp(2*x)+1/5*x^2+8/5))","A"
2279,1,14,15,0.088000," ","int(((1620*x-405)*exp(x/exp(4*x))*exp(exp(x/exp(4*x)))+exp(4*x))*exp(-405*exp(exp(x/exp(4*x)))+x)/exp(4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-405 \,{\mathrm e}^{{\mathrm e}^{x \,{\mathrm e}^{-4 x}}}+x}$&$14$\\ \hline \end{longtable}"," ",0,"exp(-405*exp(exp(x*exp(-4*x)))+x)","A"
2280,1,25,26,0.049000," ","int((50*x^3-18*x^2-25*x+97)/(31250*x^3-11250*x^2+1350*x-54)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-1} x}{625}+\frac{{\mathrm e}^{-1} \left(\frac{679 x}{781250}-\frac{15679}{9765625}\right)}{x^{2}-\frac{6}{25} x +\frac{9}{625}}$&$25$\\ default&$\frac{{\mathrm e}^{-1} \left(\frac{2 x}{625}-\frac{29321}{15625 \left(25 x -3\right)^{2}}+\frac{679}{15625 \left(25 x -3\right)}\right)}{2}$&$29$\\ gosper&$\frac{x \left(18 x^{2}+1250 x -291\right) {\mathrm e}^{-1}}{11250 x^{2}-2700 x +162}$&$30$\\ norman&$\frac{-\frac{97 \,{\mathrm e}^{-1} x}{6}+\frac{625 x^{2} {\mathrm e}^{-1}}{9}+{\mathrm e}^{-1} x^{3}}{\left(25 x -3\right)^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"1/625*exp(-1)*x+exp(-1)*(679/781250*x-15679/9765625)/(x^2-6/25*x+9/625)","A"
2281,1,19,21,0.038000," ","int(((50*ln(x)-1)*exp(25*ln(x)^2+4*ln(3)+1)+2*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{81 \,{\mathrm e}^{25 \ln \left(x \right)^{2}+1}}{x}$&$19$\\ default&$x^{2}+\frac{{\mathrm e}^{25 \ln \left(x \right)^{2}+4 \ln \left(3\right)+1}}{x}$&$22$\\ norman&$\frac{x^{3}+{\mathrm e}^{25 \ln \left(x \right)^{2}+4 \ln \left(3\right)+1}}{x}$&$22$\\ \hline \end{longtable}"," ",0,"x^2+81*exp(25*ln(x)^2+1)/x","A"
2282,1,33,25,0.046000," ","int(1/6*(ln(5)^2+(ln(3)+3*x^2-5)*ln(5)+3*x^2*ln(3)+6*x^3-15*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{2}+\frac{x \ln \left(5\right)}{2}+\frac{x \ln \left(3\right)}{2}-\frac{5 x}{2}-\frac{\ln \left(5\right) \left(\ln \left(5\right)+\ln \left(3\right)-5\right)}{6 x}$&$33$\\ norman&$\frac{\left(\frac{\ln \left(5\right)}{2}+\frac{\ln \left(3\right)}{2}-\frac{5}{2}\right) x^{2}+\frac{x^{3}}{2}-\frac{\ln \left(5\right)^{2}}{6}-\frac{\ln \left(3\right) \ln \left(5\right)}{6}+\frac{5 \ln \left(5\right)}{6}}{x}$&$41$\\ gosper&$-\frac{-3 x^{2} \ln \left(5\right)-3 x^{2} \ln \left(3\right)-3 x^{3}+\ln \left(5\right)^{2}+\ln \left(3\right) \ln \left(5\right)+15 x^{2}-5 \ln \left(5\right)}{6 x}$&$44$\\ risch&$\frac{x \ln \left(5\right)}{2}+\frac{x \ln \left(3\right)}{2}+\frac{x^{2}}{2}-\frac{5 x}{2}-\frac{\ln \left(5\right)^{2}}{6 x}-\frac{\ln \left(5\right) \ln \left(3\right)}{6 x}+\frac{5 \ln \left(5\right)}{6 x}$&$45$\\ \hline \end{longtable}"," ",0,"1/2*x^2+1/2*x*ln(5)+1/2*x*ln(3)-5/2*x-1/6*ln(5)*(ln(5)+ln(3)-5)/x","A"
2283,1,84,22,0.127000," ","int((((9*x^2+9)*exp(x)+108*x^2*exp(1/x)+9*x^2+9*x)*ln(x^2)+18*exp(x)*x+216*x^2*exp(1/x)+18*x^2)/x^2/exp(1/x),x)","\[-9 \left(-\frac{\ln \left(x^{2}\right)+2 \ln \left(\frac{1}{x}\right)}{x}+\frac{2 \ln \left(\frac{1}{x}\right)}{x}\right) {\mathrm e}^{-\frac{1}{x}} x^{2}+\frac{9 \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right) x \,{\mathrm e}^{x -\frac{1}{x}}+18 x \,{\mathrm e}^{x -\frac{1}{x}} \ln \left(x \right)}{x}+108 x \ln \left(x^{2}\right)\]"," ",0,"-9*(-1/x*(ln(x^2)+2*ln(1/x))+2*ln(1/x)/x)/exp(1/x)*x^2+9*((ln(x^2)-2*ln(x))*x*exp(x-1/x)+2*x*exp(x-1/x)*ln(x))/x+108*x*ln(x^2)","B"
2284,1,35,22,0.158000," ","int((2*x*exp(2-x)*exp(x)+(-x^3-x^2+8*x)*exp(2-x)-4*exp(1))*exp((x^2*exp(2-x)*exp(x)+(x^3+4*x^2)*exp(2-x)-4*x*exp(1))/exp(1))/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\left(x^{2} {\mathrm e}^{2}+\left(x^{3}+4 x^{2}\right) {\mathrm e}^{2} {\mathrm e}^{-x}-4 x \,{\mathrm e}\right) {\mathrm e}^{-1}}$&$35$\\ risch&${\mathrm e}^{-x \left(-x^{2} {\mathrm e}^{2-x}-{\mathrm e}^{2} x -4 x \,{\mathrm e}^{2-x}+4 \,{\mathrm e}\right) {\mathrm e}^{-1}}$&$37$\\ \hline \end{longtable}"," ",0,"exp((x^2*exp(2)+(x^3+4*x^2)*exp(2)/exp(x)-4*x*exp(1))/exp(1))","A"
2285,1,532,37,0.974000," ","int(((100*x^6+2250*x^5+20000*x^4+87525*x^3+187875*x^2+158125*x+3125)*ln(2)^10+(2000*x^6+45000*x^5+400000*x^4+1750500*x^3+3757500*x^2+3162500*x+62500)*ln(2)^9+(-500*x^7+6750*x^6+305000*x^5+3162375*x^4+14815125*x^3+33026875*x^2+28446875*x+562500)*ln(2)^8+(-8000*x^7-84000*x^6+560000*x^5+12198000*x^4+68994000*x^3+167710000*x^2+151550000*x+3000000)*ln(2)^7+(1000*x^8-33500*x^7-724040*x^6-2765350*x^5+20061750*x^4+190450250*x^3+542741250*x^2+529550000*x+10500000)*ln(2)^6+(12000*x^8+46000*x^7-1834080*x^6-16160200*x^5-12267000*x^4+303876600*x^3+1161199000*x^2+1268120000*x+25200000)*ln(2)^5+(-1000*x^9+37500*x^8+590100*x^7-132150*x^6-31152250*x^5-110363750*x^4+218779750*x^3+1641415000*x^2+2107700000*x+42000000)*ln(2)^4+(-8000*x^9-20000*x^8+1104800*x^7+6379600*x^6-19666000*x^5-189454000*x^4-87026000*x^3+1473960000*x^2+2400800000*x+48000000)*ln(2)^3+(500*x^10-12750*x^9-200080*x^8+142825*x^7+8945779*x^6+12506655*x^5-141278375*x^4-297522000*x^3+755020000*x^2+1793600000*x+36000000)*ln(2)^2+(2000*x^10+13000*x^9-128320*x^8-843100*x^7+3157836*x^6+20295420*x^5-35721500*x^4-212152000*x^3+158320000*x^2+793600000*x+16000000)*ln(2)-100*x^11-250*x^10+9020*x^9+16455*x^8-327075*x^7-382279*x^6+5861095*x^5+3458500*x^4-50474400*x^3-8016000*x^2+157920000*x+3200000)/((25*x^3+375*x^2+1875*x+3125)*ln(2)^10+(500*x^3+7500*x^2+37500*x+62500)*ln(2)^9+(-125*x^4+2625*x^3+58125*x^2+321875*x+562500)*ln(2)^8+(-2000*x^4-6000*x^3+210000*x^2+1550000*x+3000000)*ln(2)^7+(250*x^5-10250*x^4-107250*x^3+241250*x^2+4550000*x+10500000)*ln(2)^6+(3000*x^5-11000*x^4-413400*x^3-801000*x^2+8120000*x+25200000)*ln(2)^5+(-250*x^6+11250*x^5+66250*x^4-670250*x^3-3585000*x^2+7700000*x+42000000)*ln(2)^4+(-2000*x^6+10000*x^5+226000*x^4-226000*x^3-6040000*x^2+800000*x+48000000)*ln(2)^3+(125*x^7-4125*x^6-20625*x^5+241625*x^4+678000*x^3-4980000*x^2-6400000*x+36000000)*ln(2)^2+(500*x^7-500*x^6-34500*x^5+54500*x^4+808000*x^3-1680000*x^2-6400000*x+16000000)*ln(2)-25*x^8+125*x^7+1625*x^6-9625*x^5-29500*x^4+245600*x^3-16000*x^2-2080000*x+3200000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{-12 \ln \left(2\right)^{12}-288 \ln \left(2\right)^{11}-3258 \ln \left(2\right)^{10}-22920 \ln \left(2\right)^{9}-111240 \ln \left(2\right)^{8}-390528 \ln \left(2\right)^{7}-1012032 \ln \left(2\right)^{6}-1942272 \ln \left(2\right)^{5}-2730240 \ln \left(2\right)^{4}-2734080 \ln \left(2\right)^{3}-1847808 \ln \left(2\right)^{2}-755712 \ln \left(2\right)-141312}{75 \left(\ln \left(2\right)^{2}+4 \ln \left(2\right)+9\right)^{3} \left(-\ln \left(2\right)^{2}-4 \ln \left(2\right)+x -4\right)^{3}}-\frac{-4 \ln \left(2\right)^{12}-96 \ln \left(2\right)^{11}-1056 \ln \left(2\right)^{10}-7040 \ln \left(2\right)^{9}-31680 \ln \left(2\right)^{8}-101376 \ln \left(2\right)^{7}-236544 \ln \left(2\right)^{6}-405504 \ln \left(2\right)^{5}-506880 \ln \left(2\right)^{4}-450560 \ln \left(2\right)^{3}-270336 \ln \left(2\right)^{2}-98304 \ln \left(2\right)-16384}{100 \left(\ln \left(2\right)^{2}+4 \ln \left(2\right)+9\right)^{2} \left(-\ln \left(2\right)^{2}-4 \ln \left(2\right)+x -4\right)^{4}}-\frac{20 \ln \left(2\right)^{16}+640 \ln \left(2\right)^{15}+10000 \ln \left(2\right)^{14}+100800 \ln \left(2\right)^{13}+730988 \ln \left(2\right)^{12}+4032032 \ln \left(2\right)^{11}+17455292 \ln \left(2\right)^{10}+60367280 \ln \left(2\right)^{9}+168215510 \ln \left(2\right)^{8}+378207072 \ln \left(2\right)^{7}+682520608 \ln \left(2\right)^{6}+976286848 \ln \left(2\right)^{5}+1082884160 \ln \left(2\right)^{4}+898398720 \ln \left(2\right)^{3}+524539392 \ln \left(2\right)^{2}+192104448 \ln \left(2\right)+33166848}{50 \left(\ln \left(2\right)^{2}+4 \ln \left(2\right)+9\right)^{4} \left(-\ln \left(2\right)^{2}-4 \ln \left(2\right)+x -4\right)^{2}}-\frac{40 \ln \left(2\right)^{16}+1280 \ln \left(2\right)^{15}+20200 \ln \left(2\right)^{14}+207200 \ln \left(2\right)^{13}+1538796 \ln \left(2\right)^{12}+8742944 \ln \left(2\right)^{11}+39205334 \ln \left(2\right)^{10}+141227960 \ln \left(2\right)^{9}+412257170 \ln \left(2\right)^{8}+976827424 \ln \left(2\right)^{7}+1869635236 \ln \left(2\right)^{6}+2855813296 \ln \left(2\right)^{5}+3407206320 \ln \left(2\right)^{4}+3063795840 \ln \left(2\right)^{3}+1953968064 \ln \left(2\right)^{2}+787612416 \ln \left(2\right)+150704896}{25 \left(\ln \left(2\right)^{2}+4 \ln \left(2\right)+9\right)^{5} \left(-\ln \left(2\right)^{2}-4 \ln \left(2\right)+x -4\right)}+x^{4}+10 x^{3}+\frac{123 x^{2}}{5}-\frac{4 x \ln \left(2\right)^{2}}{5}-\frac{16 x \ln \left(2\right)}{5}-\frac{11 x}{5}-\frac{18750 \ln \left(2\right)^{2}+75000 \ln \left(2\right)+106250}{25 \left(\ln \left(2\right)^{2}+4 \ln \left(2\right)+9\right)^{5} \left(5+x \right)}+\frac{625}{\left(\ln \left(2\right)^{2}+4 \ln \left(2\right)+9\right)^{4} \left(5+x \right)^{2}}$&$532$\\ norman&$\frac{-13892096-333097920 \ln \left(2\right)^{4}+132861574 \ln \left(2\right)^{8}+x^{10}-96958464 \ln \left(2\right)-276797952 \ln \left(2\right)^{2}-418555392 \ln \left(2\right)^{3}+168476448 \ln \left(2\right)^{6}-58146688 \ln \left(2\right)^{5}+209827424 \ln \left(2\right)^{7}-25 \ln \left(2\right)^{16}-800 \ln \left(2\right)^{15}-10000 \ln \left(2\right)^{14}-56000 \ln \left(2\right)^{13}-22490 \ln \left(2\right)^{12}+1789840 \ln \left(2\right)^{11}+52935600 \ln \left(2\right)^{9}+13331740 \ln \left(2\right)^{10}+\left(-4 \ln \left(2\right)^{6}-48 \ln \left(2\right)^{5}-120 \ln \left(2\right)^{4}+320 \ln \left(2\right)^{3}+\frac{6604 \ln \left(2\right)^{2}}{5}+\frac{3376 \ln \left(2\right)}{5}-\frac{1179}{5}\right) x^{7}+\left(6 \ln \left(2\right)^{4}+48 \ln \left(2\right)^{3}+64 \ln \left(2\right)^{2}-128 \ln \left(2\right)-\frac{372}{5}\right) x^{8}+\left(4-4 \ln \left(2\right)^{2}-16 \ln \left(2\right)\right) x^{9}+\left(-10 \ln \left(2\right)^{16}-320 \ln \left(2\right)^{15}-3900 \ln \left(2\right)^{14}-19600 \ln \left(2\right)^{13}+19404 \ln \left(2\right)^{12}+815136 \ln \left(2\right)^{11}+4912256 \ln \left(2\right)^{10}+15299840 \ln \left(2\right)^{9}+\frac{124985273 \ln \left(2\right)^{8}}{5}+\frac{41384848 \ln \left(2\right)^{7}}{5}-\frac{244224584 \ln \left(2\right)^{6}}{5}-\frac{474931936 \ln \left(2\right)^{5}}{5}-55208128 \ln \left(2\right)^{4}+\frac{200764416 \ln \left(2\right)^{3}}{5}+\frac{397920896 \ln \left(2\right)^{2}}{5}+\frac{221542912 \ln \left(2\right)}{5}+\frac{41708288}{5}\right) x +\left(-\ln \left(2\right)^{16}-32 \ln \left(2\right)^{15}-360 \ln \left(2\right)^{14}-1120 \ln \left(2\right)^{13}+\frac{51552 \ln \left(2\right)^{12}}{5}+\frac{538368 \ln \left(2\right)^{11}}{5}+\frac{1687468 \ln \left(2\right)^{10}}{5}-256336 \ln \left(2\right)^{9}-\frac{127672051 \ln \left(2\right)^{8}}{25}-\frac{407478576 \ln \left(2\right)^{7}}{25}-\frac{576238012 \ln \left(2\right)^{6}}{25}-\frac{150921808 \ln \left(2\right)^{5}}{25}+\frac{137959716 \ln \left(2\right)^{4}}{5}+\frac{1003931808 \ln \left(2\right)^{3}}{25}+\frac{551030048 \ln \left(2\right)^{2}}{25}+\frac{100972416 \ln \left(2\right)}{25}-\frac{1305536}{25}\right) x^{2}+\left(4 \ln \left(2\right)^{14}+112 \ln \left(2\right)^{13}+1076 \ln \left(2\right)^{12}+2528 \ln \left(2\right)^{11}-\frac{138788 \ln \left(2\right)^{10}}{5}-242576 \ln \left(2\right)^{9}-780579 \ln \left(2\right)^{8}-826416 \ln \left(2\right)^{7}+\frac{39707204 \ln \left(2\right)^{6}}{25}+\frac{137671088 \ln \left(2\right)^{5}}{25}+\frac{23573846 \ln \left(2\right)^{4}}{5}-\frac{10516048 \ln \left(2\right)^{3}}{5}-\frac{30305256 \ln \left(2\right)^{2}}{5}-\frac{89205152 \ln \left(2\right)}{25}-\frac{17294464}{25}\right) x^{3}+\left(-6 \ln \left(2\right)^{12}-144 \ln \left(2\right)^{11}-1064 \ln \left(2\right)^{10}-160 \ln \left(2\right)^{9}+\frac{188037 \ln \left(2\right)^{8}}{5}+\frac{1057872 \ln \left(2\right)^{7}}{5}+\frac{2457044 \ln \left(2\right)^{6}}{5}+\frac{1823856 \ln \left(2\right)^{5}}{5}-\frac{12143806 \ln \left(2\right)^{4}}{25}-\frac{25420528 \ln \left(2\right)^{3}}{25}-\frac{11712184 \ln \left(2\right)^{2}}{25}+\frac{1819808 \ln \left(2\right)}{25}+\frac{1379974}{25}\right) x^{4}+\left(4 \ln \left(2\right)^{10}+80 \ln \left(2\right)^{9}+410 \ln \left(2\right)^{8}-1120 \ln \left(2\right)^{7}-\frac{87408 \ln \left(2\right)^{6}}{5}-\frac{305216 \ln \left(2\right)^{5}}{5}-79514 \ln \left(2\right)^{4}+1840 \ln \left(2\right)^{3}+\frac{2166104 \ln \left(2\right)^{2}}{25}+\frac{1619936 \ln \left(2\right)}{25}+\frac{443021}{25}\right) x^{5}}{\left(5+x \right)^{2} \left(\ln \left(2\right)^{2}+4 \ln \left(2\right)-x +4\right)^{4}}$&$631$\\ risch&$x^{4}-\frac{4 x \ln \left(2\right)^{2}}{5}+10 x^{3}-\frac{16 x \ln \left(2\right)}{5}+\frac{123 x^{2}}{5}-\frac{11 x}{5}+\frac{\frac{\left(-8 \ln \left(2\right)^{6}-96 \ln \left(2\right)^{5}-480 \ln \left(2\right)^{4}-1280 \ln \left(2\right)^{3}-\frac{9596 \ln \left(2\right)^{2}}{5}-\frac{7664 \ln \left(2\right)}{5}-\frac{2554}{5}\right) x^{5}}{5}+\frac{\left(22 \ln \left(2\right)^{8}+352 \ln \left(2\right)^{7}+2384 \ln \left(2\right)^{6}+8896 \ln \left(2\right)^{5}+\frac{99194 \ln \left(2\right)^{4}}{5}+\frac{133072 \ln \left(2\right)^{3}}{5}+\frac{101016 \ln \left(2\right)^{2}}{5}+\frac{35808 \ln \left(2\right)}{5}+\frac{2599}{5}\right) x^{4}}{5}+\frac{\left(\frac{114896}{5}+115764 \ln \left(2\right)^{2}-20 \ln \left(2\right)^{10}-400 \ln \left(2\right)^{9}-3380 \ln \left(2\right)^{8}-15680 \ln \left(2\right)^{7}-\frac{213796 \ln \left(2\right)^{6}}{5}-\frac{325552 \ln \left(2\right)^{5}}{5}-34364 \ln \left(2\right)^{4}+55072 \ln \left(2\right)^{3}+\frac{421648 \ln \left(2\right)}{5}\right) x^{3}}{5}+\frac{\left(-\frac{197216}{5}-\frac{4560272 \ln \left(2\right)^{2}}{5}+1384 \ln \left(2\right)^{10}+6560 \ln \left(2\right)^{9}+\frac{60349 \ln \left(2\right)^{8}}{5}-\frac{155696 \ln \left(2\right)^{7}}{5}-\frac{1277992 \ln \left(2\right)^{6}}{5}-\frac{3790688 \ln \left(2\right)^{5}}{5}-1311454 \ln \left(2\right)^{4}-\frac{7049392 \ln \left(2\right)^{3}}{5}-\frac{1564864 \ln \left(2\right)}{5}+6 \ln \left(2\right)^{12}+144 \ln \left(2\right)^{11}\right) x^{2}}{5}+\frac{\left(60 \ln \left(2\right)^{12}+1440 \ln \left(2\right)^{11}+15340 \ln \left(2\right)^{10}+95600 \ln \left(2\right)^{9}+385198 \ln \left(2\right)^{8}+1040608 \ln \left(2\right)^{7}+1867956 \ln \left(2\right)^{6}+2049904 \ln \left(2\right)^{5}+882160 \ln \left(2\right)^{4}-921984 \ln \left(2\right)^{3}-1703744 \ln \left(2\right)^{2}-1083648 \ln \left(2\right)-265472\right) x}{5}+30 \ln \left(2\right)^{12}+720 \ln \left(2\right)^{11}+7920 \ln \left(2\right)^{10}+52800 \ln \left(2\right)^{9}+237599 \ln \left(2\right)^{8}+760304 \ln \left(2\right)^{7}+1773968 \ln \left(2\right)^{6}+3040832 \ln \left(2\right)^{5}+3800480 \ln \left(2\right)^{4}+3377408 \ln \left(2\right)^{3}+2025728 \ln \left(2\right)^{2}+736256 \ln \left(2\right)+122624}{6400-3840 x -1130 x^{2} \ln \left(2\right)^{4}-180 x^{3} \ln \left(2\right)^{4}-160 x^{3} \ln \left(2\right)^{3}+28000 \ln \left(2\right)^{4}+25 \ln \left(2\right)^{8}+25600 \ln \left(2\right)+44800 \ln \left(2\right)^{2}+44800 \ln \left(2\right)^{3}-39 x^{4}+304 x^{3}+96 x^{2}+x^{6}-6 x^{5}-3408 x^{2} \ln \left(2\right)^{3}+48 x^{4} \ln \left(2\right)^{3}+1920 x \ln \left(2\right)^{3}+10 x \ln \left(2\right)^{8}+1020 x \ln \left(2\right)^{6}-48 x^{3} \ln \left(2\right)^{5}-4 x^{5} \ln \left(2\right)^{2}+5200 x \ln \left(2\right)^{4}+104 x^{4} \ln \left(2\right)^{2}+380 x^{3} \ln \left(2\right)^{2}-6080 x \ln \left(2\right)^{2}+32 x^{4} \ln \left(2\right)-16 x^{5} \ln \left(2\right)-4208 x^{2} \ln \left(2\right)^{2}-8960 x \ln \left(2\right)-1856 x^{2} \ln \left(2\right)+752 x^{3} \ln \left(2\right)+2800 \ln \left(2\right)^{6}+11200 \ln \left(2\right)^{5}+3280 x \ln \left(2\right)^{5}+400 \ln \left(2\right)^{7}+72 \ln \left(2\right)^{6} x^{2}+\ln \left(2\right)^{8} x^{2}+16 \ln \left(2\right)^{7} x^{2}-4 \ln \left(2\right)^{6} x^{3}+160 \ln \left(2\right)^{7} x -32 x^{2} \ln \left(2\right)^{5}+6 \ln \left(2\right)^{4} x^{4}}$&$715$\\ gosper&$-\frac{347302400-208541440 x -689798580 x^{2} \ln \left(2\right)^{4}-117869230 x^{3} \ln \left(2\right)^{4}+1987850 x^{5} \ln \left(2\right)^{4}-46000 x^{5} \ln \left(2\right)^{3}-1200 x^{8} \ln \left(2\right)^{3}+52580240 x^{3} \ln \left(2\right)^{3}+8327448000 \ln \left(2\right)^{4}-3321539350 \ln \left(2\right)^{8}-25 x^{10}-100 x^{9}+2423961600 \ln \left(2\right)+6919948800 \ln \left(2\right)^{2}+10463884800 \ln \left(2\right)^{3}+5895 x^{7}+1860 x^{8}-1379974 x^{4}+17294464 x^{3}+1305536 x^{2}-443021 x^{5}-1003931808 x^{2} \ln \left(2\right)^{3}+25420528 x^{4} \ln \left(2\right)^{3}+3200 x^{8} \ln \left(2\right)-1003822080 x \ln \left(2\right)^{3}-624926365 x \ln \left(2\right)^{8}+1221122920 x \ln \left(2\right)^{6}-137671088 x^{3} \ln \left(2\right)^{5}-2166104 x^{5} \ln \left(2\right)^{2}+3000 x^{7} \ln \left(2\right)^{4}-8000 x^{7} \ln \left(2\right)^{3}-33020 x^{7} \ln \left(2\right)^{2}-16880 x^{7} \ln \left(2\right)+1380203200 x \ln \left(2\right)^{4}+11712184 x^{4} \ln \left(2\right)^{2}+151526280 x^{3} \ln \left(2\right)^{2}-1989604480 x \ln \left(2\right)^{2}-1819808 x^{4} \ln \left(2\right)-1619936 x^{5} \ln \left(2\right)-551030048 x^{2} \ln \left(2\right)^{2}-1107714560 x \ln \left(2\right)-100972416 x^{2} \ln \left(2\right)+89205152 x^{3} \ln \left(2\right)-150 x^{8} \ln \left(2\right)^{4}+100 \ln \left(2\right)^{2} x^{9}+400 \ln \left(2\right) x^{9}-4211911200 \ln \left(2\right)^{6}+1453667200 \ln \left(2\right)^{5}+2374659680 x \ln \left(2\right)^{5}-1600 x^{8} \ln \left(2\right)^{2}-5245685600 \ln \left(2\right)^{7}+150 \ln \left(2\right)^{12} x^{4}+576238012 \ln \left(2\right)^{6} x^{2}-26900 \ln \left(2\right)^{12} x^{3}+3600 \ln \left(2\right)^{11} x^{4}-100 \ln \left(2\right)^{10} x^{5}-257760 \ln \left(2\right)^{12} x^{2}-63200 \ln \left(2\right)^{11} x^{3}+26600 \ln \left(2\right)^{10} x^{4}-2000 \ln \left(2\right)^{9} x^{5}-485100 \ln \left(2\right)^{12} x -2691840 \ln \left(2\right)^{11} x^{2}+693940 \ln \left(2\right)^{10} x^{3}+4000 \ln \left(2\right)^{9} x^{4}-10250 \ln \left(2\right)^{8} x^{5}+100 \ln \left(2\right)^{6} x^{7}-20378400 \ln \left(2\right)^{11} x -8437340 \ln \left(2\right)^{10} x^{2}+6064400 \ln \left(2\right)^{9} x^{3}-940185 \ln \left(2\right)^{8} x^{4}+28000 \ln \left(2\right)^{7} x^{5}+1200 \ln \left(2\right)^{5} x^{7}-122806400 \ln \left(2\right)^{10} x +6408400 \ln \left(2\right)^{9} x^{2}+19514475 \ln \left(2\right)^{8} x^{3}-5289360 \ln \left(2\right)^{7} x^{4}+437040 \ln \left(2\right)^{6} x^{5}-382496000 \ln \left(2\right)^{9} x +127672051 \ln \left(2\right)^{8} x^{2}+20660400 \ln \left(2\right)^{7} x^{3}+407478576 \ln \left(2\right)^{7} x^{2}-39707204 \ln \left(2\right)^{6} x^{3}-206924240 \ln \left(2\right)^{7} x +150921808 x^{2} \ln \left(2\right)^{5}+625 \ln \left(2\right)^{16}+20000 \ln \left(2\right)^{15}+250000 \ln \left(2\right)^{14}+1400000 \ln \left(2\right)^{13}+12143806 \ln \left(2\right)^{4} x^{4}-12285220 \ln \left(2\right)^{6} x^{4}+1526080 \ln \left(2\right)^{5} x^{5}-9119280 \ln \left(2\right)^{5} x^{4}+562250 \ln \left(2\right)^{12}-44746000 \ln \left(2\right)^{11}-1323390000 \ln \left(2\right)^{9}+25 \ln \left(2\right)^{16} x^{2}+250 \ln \left(2\right)^{16} x +800 \ln \left(2\right)^{15} x^{2}-100 \ln \left(2\right)^{14} x^{3}+8000 \ln \left(2\right)^{15} x +9000 \ln \left(2\right)^{14} x^{2}-2800 \ln \left(2\right)^{13} x^{3}+97500 \ln \left(2\right)^{14} x +28000 \ln \left(2\right)^{13} x^{2}+490000 \ln \left(2\right)^{13} x -333293500 \ln \left(2\right)^{10}}{25 \left(6400-3840 x -1130 x^{2} \ln \left(2\right)^{4}-180 x^{3} \ln \left(2\right)^{4}-160 x^{3} \ln \left(2\right)^{3}+28000 \ln \left(2\right)^{4}+25 \ln \left(2\right)^{8}+25600 \ln \left(2\right)+44800 \ln \left(2\right)^{2}+44800 \ln \left(2\right)^{3}-39 x^{4}+304 x^{3}+96 x^{2}+x^{6}-6 x^{5}-3408 x^{2} \ln \left(2\right)^{3}+48 x^{4} \ln \left(2\right)^{3}+1920 x \ln \left(2\right)^{3}+10 x \ln \left(2\right)^{8}+1020 x \ln \left(2\right)^{6}-48 x^{3} \ln \left(2\right)^{5}-4 x^{5} \ln \left(2\right)^{2}+5200 x \ln \left(2\right)^{4}+104 x^{4} \ln \left(2\right)^{2}+380 x^{3} \ln \left(2\right)^{2}-6080 x \ln \left(2\right)^{2}+32 x^{4} \ln \left(2\right)-16 x^{5} \ln \left(2\right)-4208 x^{2} \ln \left(2\right)^{2}-8960 x \ln \left(2\right)-1856 x^{2} \ln \left(2\right)+752 x^{3} \ln \left(2\right)+2800 \ln \left(2\right)^{6}+11200 \ln \left(2\right)^{5}+3280 x \ln \left(2\right)^{5}+400 \ln \left(2\right)^{7}+72 \ln \left(2\right)^{6} x^{2}+\ln \left(2\right)^{8} x^{2}+16 \ln \left(2\right)^{7} x^{2}-4 \ln \left(2\right)^{6} x^{3}+160 \ln \left(2\right)^{7} x -32 x^{2} \ln \left(2\right)^{5}+6 \ln \left(2\right)^{4} x^{4}\right)}$&$1115$\\ \hline \end{longtable}"," ",0,"-1/75*(-12*ln(2)^12-288*ln(2)^11-3258*ln(2)^10-22920*ln(2)^9-111240*ln(2)^8-390528*ln(2)^7-1012032*ln(2)^6-1942272*ln(2)^5-2730240*ln(2)^4-2734080*ln(2)^3-1847808*ln(2)^2-755712*ln(2)-141312)/(ln(2)^2+4*ln(2)+9)^3/(-ln(2)^2-4*ln(2)+x-4)^3-1/100*(-4*ln(2)^12-96*ln(2)^11-1056*ln(2)^10-7040*ln(2)^9-31680*ln(2)^8-101376*ln(2)^7-236544*ln(2)^6-405504*ln(2)^5-506880*ln(2)^4-450560*ln(2)^3-270336*ln(2)^2-98304*ln(2)-16384)/(ln(2)^2+4*ln(2)+9)^2/(-ln(2)^2-4*ln(2)+x-4)^4-1/50*(20*ln(2)^16+640*ln(2)^15+10000*ln(2)^14+100800*ln(2)^13+730988*ln(2)^12+4032032*ln(2)^11+17455292*ln(2)^10+60367280*ln(2)^9+168215510*ln(2)^8+378207072*ln(2)^7+682520608*ln(2)^6+976286848*ln(2)^5+1082884160*ln(2)^4+898398720*ln(2)^3+524539392*ln(2)^2+192104448*ln(2)+33166848)/(ln(2)^2+4*ln(2)+9)^4/(-ln(2)^2-4*ln(2)+x-4)^2-1/25*(40*ln(2)^16+1280*ln(2)^15+20200*ln(2)^14+207200*ln(2)^13+1538796*ln(2)^12+8742944*ln(2)^11+39205334*ln(2)^10+141227960*ln(2)^9+412257170*ln(2)^8+976827424*ln(2)^7+1869635236*ln(2)^6+2855813296*ln(2)^5+3407206320*ln(2)^4+3063795840*ln(2)^3+1953968064*ln(2)^2+787612416*ln(2)+150704896)/(ln(2)^2+4*ln(2)+9)^5/(-ln(2)^2-4*ln(2)+x-4)+x^4+10*x^3+123/5*x^2-4/5*x*ln(2)^2-16/5*x*ln(2)-11/5*x-1/25/(ln(2)^2+4*ln(2)+9)^5*(18750*ln(2)^2+75000*ln(2)+106250)/(5+x)+625/(ln(2)^2+4*ln(2)+9)^4/(5+x)^2","B"
2286,1,32,26,0.077000," ","int(((3*x^3-5*x^2+5*x-3)*ln((3*x^2-2*x+3)/(3*x^2-3*x))-27*x^3+46*x^2-39*x+24)/(9*x^5-15*x^4+15*x^3-9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3-\frac{\ln \left(\frac{3 x^{2}-2 x +3}{3 x^{2}-3 x}\right)}{3}}{x}$&$32$\\ risch&$-\frac{\ln \left(\frac{3 x^{2}-2 x +3}{3 x^{2}-3 x}\right)}{3 x}+\frac{3}{x}$&$35$\\ default&$-\frac{\ln \left(\frac{3 x^{2}-2 x +3}{x \left(x -1\right)}\right)}{3 x}+\frac{3}{x}+\frac{\ln \left(3\right)}{3 x}$&$39$\\ \hline \end{longtable}"," ",0,"(3-1/3*ln((3*x^2-2*x+3)/(3*x^2-3*x)))/x","A"
2287,1,36,28,0.039000," ","int(((-4*x*exp(1/4*(4*x^3-4*x^2-x-20)/x)-4*x)*ln(exp(1/4*(4*x^3-4*x^2-x-20)/x)+1)+(8*x^3-4*x^2-4*x+20)*exp(1/4*(4*x^3-4*x^2-x-20)/x)-4*x)/(x^3*exp(1/4*(4*x^3-4*x^2-x-20)/x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 x +4 x \ln \left({\mathrm e}^{\frac{4 x^{3}-4 x^{2}-x -20}{4 x}}+1\right)}{x^{2}}$&$36$\\ risch&$\frac{4 \ln \left({\mathrm e}^{\frac{4 x^{3}-4 x^{2}-x -20}{4 x}}+1\right)}{x}+\frac{4}{x}$&$36$\\ \hline \end{longtable}"," ",0,"(4*x+4*x*ln(exp(1/4*(4*x^3-4*x^2-x-20)/x)+1))/x^2","A"
2288,1,7,6,0.045000," ","int(544/3*x^3*exp(136/3*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{136 x^{4}}{3}}$&$7$\\ derivativedivides&${\mathrm e}^{\frac{136 x^{4}}{3}}$&$7$\\ default&${\mathrm e}^{\frac{136 x^{4}}{3}}$&$7$\\ norman&${\mathrm e}^{\frac{136 x^{4}}{3}}$&$7$\\ risch&${\mathrm e}^{\frac{136 x^{4}}{3}}$&$7$\\ meijerg&$-1+{\mathrm e}^{\frac{136 x^{4}}{3}}$&$9$\\ \hline \end{longtable}"," ",0,"exp(136/3*x^4)","A"
2289,1,31,18,1.675000," ","int((-9*ln(4+exp(2))+39)/(9*ln(4+exp(2))^2+(18*exp(2)*x-78)*ln(4+exp(2))+9*x^2*exp(2)^2-78*exp(2)*x+169),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(3 \ln \left(4+{\mathrm e}^{2}\right)-13\right) {\mathrm e}^{-2}}{3 \,{\mathrm e}^{2} x +3 \ln \left(4+{\mathrm e}^{2}\right)-13}$&$31$\\ norman&$\frac{\left(3 \ln \left(4+{\mathrm e}^{2}\right)-13\right) {\mathrm e}^{-2}}{3 \,{\mathrm e}^{2} x +3 \ln \left(4+{\mathrm e}^{2}\right)-13}$&$31$\\ risch&$\frac{{\mathrm e}^{-2} \ln \left(4+{\mathrm e}^{2}\right)}{{\mathrm e}^{2} x +\ln \left(4+{\mathrm e}^{2}\right)-\frac{13}{3}}-\frac{13 \,{\mathrm e}^{-2}}{3 \left({\mathrm e}^{2} x +\ln \left(4+{\mathrm e}^{2}\right)-\frac{13}{3}\right)}$&$40$\\ meijerg&$\frac{9 \ln \left(4+{\mathrm e}^{2}\right) \left(-3 \ln \left(4+{\mathrm e}^{2}\right)+13\right) x}{\left(3 \ln \left(4+{\mathrm e}^{2}\right)-13\right)^{3} \left(1+\frac{3 x \,{\mathrm e}^{2}}{3 \ln \left(4+{\mathrm e}^{2}\right)-13}\right)}-\frac{39 \left(-3 \ln \left(4+{\mathrm e}^{2}\right)+13\right) x}{\left(3 \ln \left(4+{\mathrm e}^{2}\right)-13\right)^{3} \left(1+\frac{3 x \,{\mathrm e}^{2}}{3 \ln \left(4+{\mathrm e}^{2}\right)-13}\right)}$&$93$\\ \hline \end{longtable}"," ",0,"(3*ln(4+exp(2))-13)/exp(2)/(3*exp(2)*x+3*ln(4+exp(2))-13)","A"
2290,1,31,20,0.078000," ","int(1/2*((-2*x^2+4*x-1)*exp(-6*x)+6*x^3-5*x^2-x)*exp(((4-2*x)*exp(-6*x)+x)/exp(-6*x))/exp(-6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(x -1\right) {\mathrm e}^{-\left(2 \,{\mathrm e}^{-6 x} x -4 \,{\mathrm e}^{-6 x}-x \right) {\mathrm e}^{6 x}}}{2}$&$31$\\ norman&$\left(-\frac{{\mathrm e}^{-6 x} x \,{\mathrm e}^{\left(\left(4-2 x \right) {\mathrm e}^{-6 x}+x \right) {\mathrm e}^{6 x}}}{2}+\frac{{\mathrm e}^{-6 x} x^{2} {\mathrm e}^{\left(\left(4-2 x \right) {\mathrm e}^{-6 x}+x \right) {\mathrm e}^{6 x}}}{2}\right) {\mathrm e}^{6 x}$&$65$\\ \hline \end{longtable}"," ",0,"1/2*x*(x-1)*exp(-(2*exp(-6*x)*x-4*exp(-6*x)-x)*exp(6*x))","A"
2291,1,18,17,0.036000," ","int((12*x-10)*exp(-3*x^2+5*x-1)+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -2 \,{\mathrm e}^{-3 x^{2}+5 x -1}$&$18$\\ norman&$2 x -2 \,{\mathrm e}^{-3 x^{2}+5 x -1}$&$18$\\ risch&$2 x -2 \,{\mathrm e}^{-3 x^{2}+5 x -1}$&$18$\\ \hline \end{longtable}"," ",0,"2*x-2*exp(-3*x^2+5*x-1)","A"
2292,1,29,31,0.092000," ","int(1/2*((-5*exp(x)*x-5*x-1)*exp(-5*exp(x)+20*ln(2)-5*x+5)+ln(x)-9)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right)}{2 x}+\frac{4}{x}+\frac{524288 \,{\mathrm e}^{-5 \,{\mathrm e}^{x}+5-5 x}}{x}$&$29$\\ \hline \end{longtable}"," ",0,"-1/2*ln(x)/x+4/x+524288*exp(-5*exp(x)+5-5*x)/x","A"
2293,1,11,10,0.097000," ","int((17*exp(-2/x)+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x +\frac{17 \,{\mathrm e}^{-\frac{2}{x}}}{2}$&$11$\\ default&$x +\frac{17 \,{\mathrm e}^{-\frac{2}{x}}}{2}$&$11$\\ risch&$x +\frac{17 \,{\mathrm e}^{-\frac{2}{x}}}{2}$&$11$\\ norman&$\frac{x^{2}+\frac{17 x \,{\mathrm e}^{-\frac{2}{x}}}{2}}{x}$&$18$\\ \hline \end{longtable}"," ",0,"x+17/2*exp(-2/x)","A"
2294,1,152,29,0.623000," ","int(((((-x^3-4*x^2)*ln(2)^2+(2*x^4+3*x^3)*ln(2)-x^5+x^4)*ln(((4+x)*ln(2)-x^2+x)/(ln(2)-x))*ln(ln(((4+x)*ln(2)-x^2+x)/(ln(2)-x)))-x^3*ln(2)^2+(2*x^4-5*x^3)*ln(2)-x^5)*exp(1/3*x*ln(ln(((4+x)*ln(2)-x^2+x)/(ln(2)-x))))+((3*x^2+9*x-12)*ln(2)^2+(-6*x^3-3*x^2+9*x)*ln(2)+3*x^4-6*x^3+3*x^2)*exp(x)*ln(((4+x)*ln(2)-x^2+x)/(ln(2)-x)))/((3*x^3+12*x^2)*ln(2)^2+(-6*x^4-9*x^3)*ln(2)+3*x^5-3*x^4)/ln(((4+x)*ln(2)-x^2+x)/(ln(2)-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}}{x}-\left(-\ln \left(\ln \left(2\right)-x \right)+\ln \left(\left(4+x \right) \ln \left(2\right)-x^{2}+x \right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(\left(4+x \right) \ln \left(2\right)-x^{2}+x \right)}{\ln \left(2\right)-x}\right) \left(-\mathrm{csgn}\left(\frac{i \left(\left(4+x \right) \ln \left(2\right)-x^{2}+x \right)}{\ln \left(2\right)-x}\right)+\mathrm{csgn}\left(\frac{i}{\ln \left(2\right)-x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(\left(4+x \right) \ln \left(2\right)-x^{2}+x \right)}{\ln \left(2\right)-x}\right)+\mathrm{csgn}\left(i \left(\left(4+x \right) \ln \left(2\right)-x^{2}+x \right)\right)\right)}{2}\right)^{\frac{x}{3}}$&$152$\\ \hline \end{longtable}"," ",0,"exp(x)/x-(-ln(ln(2)-x)+ln((4+x)*ln(2)-x^2+x)-1/2*I*Pi*csgn(I/(ln(2)-x)*((4+x)*ln(2)-x^2+x))*(-csgn(I/(ln(2)-x)*((4+x)*ln(2)-x^2+x))+csgn(I/(ln(2)-x)))*(-csgn(I/(ln(2)-x)*((4+x)*ln(2)-x^2+x))+csgn(I*((4+x)*ln(2)-x^2+x))))^(1/3*x)","C"
2295,1,32,22,0.053000," ","int(1/75*((-200*exp(1)^2+200*x)*exp(4)^2+(-40*exp(1)^2+80*x-1800)*exp(4)+8*x-360)/exp(4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{4 \left(1+5 \,{\mathrm e}^{4}\right) x \left(10 \,{\mathrm e}^{2} {\mathrm e}^{4}-5 x \,{\mathrm e}^{4}-x +90\right) {\mathrm e}^{-8}}{75}$&$32$\\ risch&$-\frac{8 \,{\mathrm e}^{2} x}{3}+\frac{4 x^{2}}{3}-\frac{8 x \,{\mathrm e}^{-2}}{15}+\frac{8 x^{2} {\mathrm e}^{-4}}{15}-24 x \,{\mathrm e}^{-4}+\frac{4 x^{2} {\mathrm e}^{-8}}{75}-\frac{24 \,{\mathrm e}^{-8} x}{5}$&$41$\\ default&$\frac{{\mathrm e}^{-8} \left({\mathrm e}^{8} \left(-200 \,{\mathrm e}^{2} x +100 x^{2}\right)+{\mathrm e}^{4} \left(-40 \,{\mathrm e}^{2} x +40 x^{2}-1800 x \right)+4 x^{2}-360 x \right)}{75}$&$53$\\ norman&$\left(\frac{4 \left(25 \,{\mathrm e}^{8}+10 \,{\mathrm e}^{4}+1\right) {\mathrm e}^{-4} x^{2}}{75}-\frac{8 \left(5 \,{\mathrm e}^{2} {\mathrm e}^{8}+{\mathrm e}^{2} {\mathrm e}^{4}+45 \,{\mathrm e}^{4}+9\right) {\mathrm e}^{-4} x}{15}\right) {\mathrm e}^{-4}$&$58$\\ \hline \end{longtable}"," ",0,"-4/75*(1+5*exp(4))*x*(10*exp(1)^2*exp(4)-5*x*exp(4)-x+90)/exp(4)^2","A"
2296,1,19,23,0.061000," ","int(((10*x-15)*exp(5*x^2-14*x+59/3)-3)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 \,{\mathrm e}^{-x}+{\mathrm e}^{-15 x +5 x^{2}+\frac{59}{3}}$&$19$\\ norman&$\left(3+{\mathrm e}^{5 x^{2}-14 x +\frac{59}{3}}\right) {\mathrm e}^{-x}$&$19$\\ risch&$3 \,{\mathrm e}^{-x}+{\mathrm e}^{-15 x +5 x^{2}+\frac{59}{3}}$&$19$\\ \hline \end{longtable}"," ",0,"3/exp(x)+exp(-15*x+5*x^2+59/3)","A"
2297,1,29,22,0.057000," ","int((-2*ln(2)-4)*ln(ln(3))+(-2*ln(2)-4)*ln(3)+(2*x+8)*ln(2)^2+(8*x+18)*ln(2)+8*x+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left(\ln \left(2\right)+2\right) x \left(x \ln \left(2\right)+8 \ln \left(2\right)-2 \ln \left(\ln \left(3\right)\right)-2 \ln \left(3\right)+2 x +2\right)$&$29$\\ norman&$\left(\ln \left(2\right)^{2}+4 \ln \left(2\right)+4\right) x^{2}+\left(8 \ln \left(2\right)^{2}-2 \ln \left(\ln \left(3\right)\right) \ln \left(2\right)-2 \ln \left(2\right) \ln \left(3\right)+18 \ln \left(2\right)-4 \ln \left(\ln \left(3\right)\right)-4 \ln \left(3\right)+4\right) x$&$52$\\ default&$\left(-2 \ln \left(2\right)-4\right) \ln \left(\ln \left(3\right)\right) x +\left(-2 \ln \left(2\right)-4\right) \ln \left(3\right) x +\left(x^{2}+8 x \right) \ln \left(2\right)^{2}+\ln \left(2\right) \left(4 x^{2}+18 x \right)+4 x^{2}+4 x$&$55$\\ risch&$x^{2} \ln \left(2\right)^{2}+8 x \ln \left(2\right)^{2}-2 x \ln \left(\ln \left(3\right)\right) \ln \left(2\right)-2 x \ln \left(2\right) \ln \left(3\right)+4 x^{2} \ln \left(2\right)+18 x \ln \left(2\right)-4 \ln \left(\ln \left(3\right)\right) x -4 x \ln \left(3\right)+4 x^{2}+4 x$&$63$\\ \hline \end{longtable}"," ",0,"(ln(2)+2)*x*(x*ln(2)+8*ln(2)-2*ln(ln(3))-2*ln(3)+2*x+2)","A"
2298,1,9,10,0.421000," ","int(-5/(x-4)/ln(x-4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{5}{\ln \left(x -4\right)}$&$9$\\ default&$\frac{5}{\ln \left(x -4\right)}$&$9$\\ norman&$\frac{5}{\ln \left(x -4\right)}$&$9$\\ risch&$\frac{5}{\ln \left(x -4\right)}$&$9$\\ \hline \end{longtable}"," ",0,"5/ln(x-4)","A"
2299,1,18,23,0.046000," ","int(((8*x^2+32)*ln(x)+8*x^2-8*x-32)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$8 x \ln \left(x \right)-\frac{32 \ln \left(x \right)}{x}-8 \ln \left(x \right)$&$18$\\ risch&$\frac{8 \left(x^{2}-4\right) \ln \left(x \right)}{x}-8 \ln \left(x \right)$&$18$\\ norman&$\frac{-8 x \ln \left(x \right)+8 x^{2} \ln \left(x \right)-32 \ln \left(x \right)}{x}$&$22$\\ \hline \end{longtable}"," ",0,"8*x*ln(x)-32*ln(x)/x-8*ln(x)","A"
2300,1,19,18,0.352000," ","int(((2*exp(x)-8)*ln(-1/3*exp(x)+exp(3)+4/3*x+2/3)+exp(x)-3*exp(3)-4*x-2)/((exp(x)-3*exp(3)-4*x-2)*ln(-1/3*exp(x)+exp(3)+4/3*x+2/3)^2+(x-6)*exp(x)+(-3*x+18)*exp(3)-4*x^2+22*x+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(-\frac{{\mathrm e}^{x}}{3}+{\mathrm e}^{3}+\frac{4 x}{3}+\frac{2}{3}\right)^{2}-6+x \right)$&$19$\\ risch&$\ln \left(\ln \left(-\frac{{\mathrm e}^{x}}{3}+{\mathrm e}^{3}+\frac{4 x}{3}+\frac{2}{3}\right)^{2}-6+x \right)$&$19$\\ \hline \end{longtable}"," ",0,"ln(ln(-1/3*exp(x)+exp(3)+4/3*x+2/3)^2-6+x)","A"
2301,1,18,18,0.037000," ","int(1/25*(-128*x^3+515*x^2+575*x+125)*exp(64/25*x^2+5*x-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{\frac{64}{25} x^{2}+5 x -6} \left(x -5\right) x$&$18$\\ risch&$\frac{\left(-25 x^{2}+125 x \right) {\mathrm e}^{\frac{64}{25} x^{2}+5 x -6}}{25}$&$23$\\ default&$5 x \,{\mathrm e}^{\frac{64}{25} x^{2}+5 x -6}-x^{2} {\mathrm e}^{\frac{64}{25} x^{2}+5 x -6}$&$32$\\ norman&$5 x \,{\mathrm e}^{\frac{64}{25} x^{2}+5 x -6}-x^{2} {\mathrm e}^{\frac{64}{25} x^{2}+5 x -6}$&$32$\\ \hline \end{longtable}"," ",0,"-exp(64/25*x^2+5*x-6)*(x-5)*x","A"
2302,1,14,16,0.548000," ","int((3*x^2+2*x)*exp(1)*exp(3)/(9*x^2+6*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{2} {\mathrm e}^{4}}{3 x +1}$&$14$\\ norman&$\frac{x^{2} {\mathrm e}^{3} {\mathrm e}}{3 x +1}$&$16$\\ risch&$\frac{x \,{\mathrm e}^{4}}{3}+\frac{{\mathrm e}^{4}}{27 x +9}$&$16$\\ default&${\mathrm e} \,{\mathrm e}^{3} \left(\frac{x}{3}+\frac{1}{27 x +9}\right)$&$19$\\ meijerg&$\frac{{\mathrm e}^{4} \left(\frac{x \left(9 x +6\right)}{3 x +1}-2 \ln \left(3 x +1\right)\right)}{9}+\frac{2 \,{\mathrm e}^{4} \left(-\frac{3 x}{3 x +1}+\ln \left(3 x +1\right)\right)}{9}$&$50$\\ \hline \end{longtable}"," ",0,"x^2*exp(4)/(3*x+1)","A"
2303,1,1463,23,0.567000," ","int((2*x*ln(150*x*ln(5))*ln(ln(150*x*ln(5))^2)^4+(-40*x*ln(150*x*ln(5))+8*x)*ln(ln(150*x*ln(5))^2)^3+(296*x*ln(150*x*ln(5))-120*x)*ln(ln(150*x*ln(5))^2)^2+(-960*x*ln(150*x*ln(5))+592*x)*ln(ln(150*x*ln(5))^2)+1152*x*ln(150*x*ln(5))-960*x)/ln(150*x*ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{2} \ln \left(\ln \left(150 x \ln \left(5\right)\right)\right)^{4}-16 i x^{2} \left(\pi  \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right) \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{3}-10 i\right) \ln \left(\ln \left(150 x \ln \left(5\right)\right)\right)^{3}-2 x^{2} \left(3 \pi^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{4} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{2}-12 \pi^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{3}+18 \pi^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{4}-12 \pi^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right) \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{5}+3 \pi^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{6}-60 i \pi  \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)+120 i \pi  \,\mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right) \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{2}-60 i \pi  \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{3}-296\right) \ln \left(\ln \left(150 x \ln \left(5\right)\right)\right)^{2}+i x^{2} \left(\pi^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{6} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{3}-6 \pi^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{5} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{4}+15 \pi^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{4} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{5}-20 \pi^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{6}+15 \pi^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{7}-6 \pi^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right) \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{8}+\pi^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{9}-180 i \pi^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{4}+120 i \pi^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{3}-30 i \pi^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{4} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{2}+120 i \pi^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right) \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{5}-30 i \pi^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{6}-296 \pi  \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)+592 \pi  \,\mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right) \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{2}-296 \pi  \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{3}+960 i\right) \ln \left(\ln \left(150 x \ln \left(5\right)\right)\right)+\frac{x^{2} \left(9216-592 \pi^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{4} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{2}+2368 \pi^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{3}-3552 \pi^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{4}+2368 \pi^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right) \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{5}+3840 i \pi  \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{3}+\pi^{4} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{8} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{4}-8 \pi^{4} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{7} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{5}+28 \pi^{4} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{6} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{6}-56 \pi^{4} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{5} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{7}+70 \pi^{4} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{4} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{8}-56 \pi^{4} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{9}+28 \pi^{4} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{10}-8 \pi^{4} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right) \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{11}-40 i \pi^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{9}-600 i \pi^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{4} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{5}+3840 i \pi  \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)-7680 i \pi  \,\mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right) \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{2}+800 i \pi^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{6}-600 i \pi^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{7}+240 i \pi^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right) \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{8}-40 i \pi^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{6} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{3}+240 i \pi^{3} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)\right)^{5} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{4}+\pi^{4} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{12}-592 \pi^{2} \mathrm{csgn}\left(i \ln \left(150 x \ln \left(5\right)\right)^{2}\right)^{6}\right)}{16}$&$1463$\\ \hline \end{longtable}"," ",0,"16*x^2*ln(ln(150*x*ln(5)))^4-16*I*x^2*(Pi*csgn(I*ln(150*x*ln(5)))^2*csgn(I*ln(150*x*ln(5))^2)-2*Pi*csgn(I*ln(150*x*ln(5)))*csgn(I*ln(150*x*ln(5))^2)^2+Pi*csgn(I*ln(150*x*ln(5))^2)^3-10*I)*ln(ln(150*x*ln(5)))^3-2*x^2*(3*Pi^2*csgn(I*ln(150*x*ln(5)))^4*csgn(I*ln(150*x*ln(5))^2)^2-12*Pi^2*csgn(I*ln(150*x*ln(5)))^3*csgn(I*ln(150*x*ln(5))^2)^3+18*Pi^2*csgn(I*ln(150*x*ln(5)))^2*csgn(I*ln(150*x*ln(5))^2)^4-12*Pi^2*csgn(I*ln(150*x*ln(5)))*csgn(I*ln(150*x*ln(5))^2)^5+3*Pi^2*csgn(I*ln(150*x*ln(5))^2)^6-60*I*Pi*csgn(I*ln(150*x*ln(5)))^2*csgn(I*ln(150*x*ln(5))^2)+120*I*Pi*csgn(I*ln(150*x*ln(5)))*csgn(I*ln(150*x*ln(5))^2)^2-60*I*Pi*csgn(I*ln(150*x*ln(5))^2)^3-296)*ln(ln(150*x*ln(5)))^2+I*x^2*(Pi^3*csgn(I*ln(150*x*ln(5)))^6*csgn(I*ln(150*x*ln(5))^2)^3-6*Pi^3*csgn(I*ln(150*x*ln(5)))^5*csgn(I*ln(150*x*ln(5))^2)^4+15*Pi^3*csgn(I*ln(150*x*ln(5)))^4*csgn(I*ln(150*x*ln(5))^2)^5-20*Pi^3*csgn(I*ln(150*x*ln(5)))^3*csgn(I*ln(150*x*ln(5))^2)^6+15*Pi^3*csgn(I*ln(150*x*ln(5)))^2*csgn(I*ln(150*x*ln(5))^2)^7-6*Pi^3*csgn(I*ln(150*x*ln(5)))*csgn(I*ln(150*x*ln(5))^2)^8+Pi^3*csgn(I*ln(150*x*ln(5))^2)^9-180*I*Pi^2*csgn(I*ln(150*x*ln(5)))^2*csgn(I*ln(150*x*ln(5))^2)^4+120*I*Pi^2*csgn(I*ln(150*x*ln(5)))^3*csgn(I*ln(150*x*ln(5))^2)^3-30*I*Pi^2*csgn(I*ln(150*x*ln(5)))^4*csgn(I*ln(150*x*ln(5))^2)^2+120*I*Pi^2*csgn(I*ln(150*x*ln(5)))*csgn(I*ln(150*x*ln(5))^2)^5-30*I*Pi^2*csgn(I*ln(150*x*ln(5))^2)^6-296*Pi*csgn(I*ln(150*x*ln(5)))^2*csgn(I*ln(150*x*ln(5))^2)+592*Pi*csgn(I*ln(150*x*ln(5)))*csgn(I*ln(150*x*ln(5))^2)^2-296*Pi*csgn(I*ln(150*x*ln(5))^2)^3+960*I)*ln(ln(150*x*ln(5)))+1/16*x^2*(9216+Pi^4*csgn(I*ln(150*x*ln(5)))^8*csgn(I*ln(150*x*ln(5))^2)^4-8*Pi^4*csgn(I*ln(150*x*ln(5)))^7*csgn(I*ln(150*x*ln(5))^2)^5+28*Pi^4*csgn(I*ln(150*x*ln(5)))^6*csgn(I*ln(150*x*ln(5))^2)^6-56*Pi^4*csgn(I*ln(150*x*ln(5)))^5*csgn(I*ln(150*x*ln(5))^2)^7+70*Pi^4*csgn(I*ln(150*x*ln(5)))^4*csgn(I*ln(150*x*ln(5))^2)^8-56*Pi^4*csgn(I*ln(150*x*ln(5)))^3*csgn(I*ln(150*x*ln(5))^2)^9+28*Pi^4*csgn(I*ln(150*x*ln(5)))^2*csgn(I*ln(150*x*ln(5))^2)^10-8*Pi^4*csgn(I*ln(150*x*ln(5)))*csgn(I*ln(150*x*ln(5))^2)^11+3840*I*Pi*csgn(I*ln(150*x*ln(5))^2)^3-40*I*Pi^3*csgn(I*ln(150*x*ln(5))^2)^9+3840*I*Pi*csgn(I*ln(150*x*ln(5)))^2*csgn(I*ln(150*x*ln(5))^2)-7680*I*Pi*csgn(I*ln(150*x*ln(5)))*csgn(I*ln(150*x*ln(5))^2)^2+800*I*Pi^3*csgn(I*ln(150*x*ln(5)))^3*csgn(I*ln(150*x*ln(5))^2)^6-600*I*Pi^3*csgn(I*ln(150*x*ln(5)))^2*csgn(I*ln(150*x*ln(5))^2)^7+240*I*Pi^3*csgn(I*ln(150*x*ln(5)))*csgn(I*ln(150*x*ln(5))^2)^8-40*I*Pi^3*csgn(I*ln(150*x*ln(5)))^6*csgn(I*ln(150*x*ln(5))^2)^3+240*I*Pi^3*csgn(I*ln(150*x*ln(5)))^5*csgn(I*ln(150*x*ln(5))^2)^4-600*I*Pi^3*csgn(I*ln(150*x*ln(5)))^4*csgn(I*ln(150*x*ln(5))^2)^5-592*Pi^2*csgn(I*ln(150*x*ln(5))^2)^6+Pi^4*csgn(I*ln(150*x*ln(5))^2)^12-592*Pi^2*csgn(I*ln(150*x*ln(5)))^4*csgn(I*ln(150*x*ln(5))^2)^2+2368*Pi^2*csgn(I*ln(150*x*ln(5)))^3*csgn(I*ln(150*x*ln(5))^2)^3-3552*Pi^2*csgn(I*ln(150*x*ln(5)))^2*csgn(I*ln(150*x*ln(5))^2)^4+2368*Pi^2*csgn(I*ln(150*x*ln(5)))*csgn(I*ln(150*x*ln(5))^2)^5)","C"
2304,1,22,22,0.276000," ","int(((-x*exp(x-1)*exp(x)+x^2*exp(x-1))*ln(x/(exp(x)-x))+(1-x)*exp(x))/(exp(x)*x-x^2)/ln(x/(exp(x)-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-{\mathrm e}^{x} {\mathrm e}^{-1}+\ln \left(\ln \left(\frac{x}{{\mathrm e}^{x}-x}\right)\right)$&$22$\\ risch&$-{\mathrm e}^{x -1}+\ln \left(\ln \left(x -{\mathrm e}^{x}\right)-\frac{i \left(-\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}-x}\right) \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{x}-x}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}-x}\right) \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{x}-x}\right) \mathrm{csgn}\left(i x \right)-\pi  \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{x}-x}\right)^{3}-2 \pi  \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{x}-x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{x}-x}\right)^{2} \mathrm{csgn}\left(i x \right)+2 \pi -2 i \ln \left(x \right)\right)}{2}\right)$&$150$\\ \hline \end{longtable}"," ",0,"-exp(x)/exp(1)+ln(ln(x/(exp(x)-x)))","A"
2305,1,41,27,0.181000," ","int(((-8*x-20)*exp(exp(5)-x-4)^2-8*x^2*exp(exp(5)-x-4)-8*x^3-28*x^2-40*x)*exp((-3*exp(exp(5)-x-4)-3*x+1)/(exp(exp(5)-x-4)+x))^2/((x^4+10*x^3+25*x^2)*exp(exp(5)-x-4)^2+(2*x^5+20*x^4+50*x^3)*exp(exp(5)-x-4)+x^6+10*x^5+25*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-\frac{2 \left(3 \,{\mathrm e}^{{\mathrm e}^{5}-x -4}+3 x -1\right)}{{\mathrm e}^{{\mathrm e}^{5}-x -4}+x}}}{\left(5+x \right) x}$&$41$\\ \hline \end{longtable}"," ",0,"4/(5+x)/x*exp(-2*(3*exp(exp(5)-x-4)+3*x-1)/(exp(exp(5)-x-4)+x))","A"
2306,1,80,22,0.686000," ","int(((-1152*x^9-9216*x^8-14976*x^7)*exp(x^8)^4*ln(x^2+8*x+13)^13+(288*x+1152)*exp(x^8)^4*ln(x^2+8*x+13)^12+(31104*x^9+248832*x^8+404352*x^7)*exp(x^8)^8*ln(x^2+8*x+13)^9+(-7776*x-31104)*exp(x^8)^8*ln(x^2+8*x+13)^8+(-279936*x^9-2239488*x^8-3639168*x^7)*exp(x^8)^12*ln(x^2+8*x+13)^5+(69984*x+279936)*exp(x^8)^12*ln(x^2+8*x+13)^4+(839808*x^9+6718464*x^8+10917504*x^7)*exp(x^8)^16*ln(x^2+8*x+13)+(-209952*x-839808)*exp(x^8)^16)/(x^2+8*x+13)/ln(x^2+8*x+13)^17,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 \,{\mathrm e}^{4 x^{8}} \left(729 \,{\mathrm e}^{12 x^{8}}-324 \,{\mathrm e}^{8 x^{8}} \ln \left(x^{2}+8 x +13\right)^{4}+54 \,{\mathrm e}^{4 x^{8}} \ln \left(x^{2}+8 x +13\right)^{8}-4 \ln \left(x^{2}+8 x +13\right)^{12}\right)}{\ln \left(x^{2}+8 x +13\right)^{16}}$&$80$\\ \hline \end{longtable}"," ",0,"9*exp(4*x^8)*(729*exp(12*x^8)-324*exp(8*x^8)*ln(x^2+8*x+13)^4+54*exp(4*x^8)*ln(x^2+8*x+13)^8-4*ln(x^2+8*x+13)^12)/ln(x^2+8*x+13)^16","B"
2307,1,92,20,0.167000," ","int(((-4*x*exp(x)*ln(x)+4)*ln(ln(ln(x))-exp(x))^3+(-2*ln(x)*ln(ln(x))+2*exp(x)*ln(x))*ln(ln(ln(x))-exp(x))^2+(4*x*exp(x)*ln(-x)*ln(x)-4*ln(-x))*ln(ln(ln(x))-exp(x))+2*ln(-x)*ln(x)*ln(ln(x))-2*exp(x)*ln(-x)*ln(x))/(x*ln(x)*ln(ln(x))-x*exp(x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\ln \left(x \right)\right)-{\mathrm e}^{x}\right)^{4}+\left(-2 i \pi  \mathrm{csgn}\left(i x \right)^{3}+2 i \pi  \mathrm{csgn}\left(i x \right)^{2}-2 i \pi -2 \ln \left(x \right)\right) \ln \left(\ln \left(\ln \left(x \right)\right)-{\mathrm e}^{x}\right)^{2}+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{3}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2}+2 i \pi  \ln \left(x \right)+\ln \left(x \right)^{2}$&$92$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(x))-exp(x))^4+(-2*I*Pi*csgn(I*x)^3+2*I*Pi*csgn(I*x)^2-2*I*Pi-2*ln(x))*ln(ln(ln(x))-exp(x))^2+2*I*Pi*ln(x)*csgn(I*x)^3-2*I*Pi*ln(x)*csgn(I*x)^2+2*I*Pi*ln(x)+ln(x)^2","C"
2308,1,15,13,0.035000," ","int((2*x^2-7*x+1)/(x*ln(8*x)+x^3-7*x^2+16*x)/ln(ln(8*x)+x^2-7*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\ln \left(8 x \right)+x^{2}-7 x +16\right)\right)$&$15$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(8*x)+x^2-7*x+16))","A"
2309,1,40,30,0.074000," ","int((x*exp(x)*ln(x)+((2*x^3+4*x^2)*exp(2)-6*x^5-24*x^4-36*x^3-73*x^2-55*x+1)*exp(x)+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-6 \,{\mathrm e}^{x} x^{4}+2 x^{2} {\mathrm e}^{2+x}-36 \,{\mathrm e}^{x} x^{2}-{\mathrm e}^{x} x +{\mathrm e}^{x} \ln \left(x \right)+x -54 \,{\mathrm e}^{x}$&$40$\\ \hline \end{longtable}"," ",0,"-6*exp(x)*x^4+2*x^2*exp(2+x)-36*exp(x)*x^2-exp(x)*x+exp(x)*ln(x)+x-54*exp(x)","A"
2310,1,45,25,0.056000," ","int((-16*x^5*exp(x^2+12)^2-32*x^5*exp(x^2+12)+4*x^3+40*x)/(x^4*ln(x)^2+(-2*x^4*exp(x^2+12)^2-8*x^4*exp(x^2+12)-18*x^4-10*x^2)*ln(x)+x^4*exp(x^2+12)^4+8*x^4*exp(x^2+12)^3+(34*x^4+10*x^2)*exp(x^2+12)^2+(72*x^4+40*x^2)*exp(x^2+12)+81*x^4+90*x^2+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x^{2}}{{\mathrm e}^{2 x^{2}+24} x^{2}+4 \,{\mathrm e}^{x^{2}+12} x^{2}-x^{2} \ln \left(x \right)+9 x^{2}+5}$&$45$\\ \hline \end{longtable}"," ",0,"4*x^2/(exp(2*x^2+24)*x^2+4*exp(x^2+12)*x^2-x^2*ln(x)+9*x^2+5)","A"
2311,1,50,32,0.109000," ","int(1/4*((-ln(3)^4+8*x*ln(3)^2-12*x^2-2*x-5)*ln(x)+(8*x-1)*ln(3)^4+(-48*x^2+4*x)*ln(3)^2+64*x^3+8*x^2+39*x-5)*exp(1/4*(-x*ln(3)^4+4*x^2*ln(3)^2-4*x^3-x^2-5*x)*ln(x)+x^2*ln(3)^4-4*x^3*ln(3)^2+4*x^4+x^3+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{-\frac{x \left(\ln \left(3\right)^{4}-4 x \ln \left(3\right)^{2}+4 x^{2}+x +5\right)}{4}} {\mathrm e}^{x^{2} \left(\ln \left(3\right)^{4}-4 x \ln \left(3\right)^{2}+4 x^{2}+x +5\right)}$&$50$\\ norman&${\mathrm e}^{\frac{\left(-x \ln \left(3\right)^{4}+4 x^{2} \ln \left(3\right)^{2}-4 x^{3}-x^{2}-5 x \right) \ln \left(x \right)}{4}+x^{2} \ln \left(3\right)^{4}-4 x^{3} \ln \left(3\right)^{2}+4 x^{4}+x^{3}+5 x^{2}}$&$67$\\ \hline \end{longtable}"," ",0,"x^(-1/4*x*(ln(3)^4-4*x*ln(3)^2+4*x^2+x+5))*exp(x^2*(ln(3)^4-4*x*ln(3)^2+4*x^2+x+5))","A"
2312,1,17,15,0.130000," ","int(((2-x)*exp(x)+x)/(exp(x)*x+x^2)/ln((20*exp(x)+20*x)/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left(\frac{20 \,{\mathrm e}^{x}+20 x}{x^{2}}\right)\right)$&$17$\\ risch&$-\ln \left(\ln \left({\mathrm e}^{x}+x \right)-\frac{i \left(\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x^{2}}\right)^{3}-\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)-\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x^{2}}\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right)+\pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right)-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(5\right)+4 i \ln \left(2\right)-4 i \ln \left(x \right)\right)}{2}\right)$&$165$\\ \hline \end{longtable}"," ",0,"-ln(ln((20*exp(x)+20*x)/x^2))","A"
2313,1,20,21,0.079000," ","int((((-6*x^3-3*x)*exp(x^2)*ln(x)+(6*x^4+3*x^2)*exp(x^2))*ln(x-ln(x))+(-3*x^2+3*x)*exp(x^2)-2*x+2)*exp(ln(x-ln(x))/(3*exp(x^2)*x+2))*exp(exp(ln(x-ln(x))/(3*exp(x^2)*x+2)))/((9*x^3*exp(x^2)^2+12*x^2*exp(x^2)+4*x)*ln(x)-9*x^4*exp(x^2)^2-12*x^3*exp(x^2)-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\left(x -\ln \left(x \right)\right)^{\frac{1}{3 \,{\mathrm e}^{x^{2}} x +2}}}$&$20$\\ \hline \end{longtable}"," ",0,"exp((x-ln(x))^(1/(3*exp(x^2)*x+2)))","A"
2314,1,32,25,0.083000," ","int(1/4*((x^2-3*x-5)*ln(2)+x^3-2*x^2-9*x+1)*exp(x-1)+1/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2} \ln \left(2\right)+x^{3}-5 x \ln \left(2\right)-5 x^{2}+x \right) {\mathrm e}^{x -1}}{4}+\frac{x}{4}$&$32$\\ norman&$\left(-\frac{5}{4}+\frac{\ln \left(2\right)}{4}\right) x^{2} {\mathrm e}^{x -1}+\left(-\frac{5 \ln \left(2\right)}{4}+\frac{1}{4}\right) x \,{\mathrm e}^{x -1}+\frac{x}{4}+\frac{x^{3} {\mathrm e}^{x -1}}{4}$&$40$\\ default&$\frac{x}{4}-\frac{{\mathrm e}^{x -1} \left(x -1\right)^{2}}{2}-\frac{3 \,{\mathrm e}^{x -1} \left(x -1\right)}{2}-\frac{3 \,{\mathrm e}^{x -1}}{4}+\frac{{\mathrm e}^{x -1} \left(x -1\right)^{3}}{4}+\frac{{\mathrm e}^{x -1} \ln \left(2\right) \left(x -1\right)^{2}}{4}-\frac{3 \,{\mathrm e}^{x -1} \ln \left(2\right) \left(x -1\right)}{4}-\ln \left(2\right) {\mathrm e}^{x -1}$&$74$\\ derivativedivides&$\frac{x}{4}-\frac{1}{4}-\frac{{\mathrm e}^{x -1} \left(x -1\right)^{2}}{2}-\frac{3 \,{\mathrm e}^{x -1} \left(x -1\right)}{2}-\frac{3 \,{\mathrm e}^{x -1}}{4}+\frac{{\mathrm e}^{x -1} \left(x -1\right)^{3}}{4}+\frac{{\mathrm e}^{x -1} \ln \left(2\right) \left(x -1\right)^{2}}{4}-\frac{3 \,{\mathrm e}^{x -1} \ln \left(2\right) \left(x -1\right)}{4}-\ln \left(2\right) {\mathrm e}^{x -1}$&$75$\\ \hline \end{longtable}"," ",0,"1/4*(x^2*ln(2)+x^3-5*x*ln(2)-5*x^2+x)*exp(x-1)+1/4*x","A"
2315,1,30,24,0.105000," ","int(((((-2*exp(2*x)*x^2-x)*ln(x)+2*x^2*exp(x)*exp(2*x)+exp(x)*x)*ln(x*ln(5))-x*ln(x)+exp(x)*x)*exp(exp(2*x)-4)-exp(x)*x+1)/(x*ln(x)-exp(x)*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)-{\mathrm e}^{x}\right)+\left(-x \ln \left(\ln \left(5\right)\right)-x \ln \left(x \right)\right) {\mathrm e}^{{\mathrm e}^{2 x}-4}$&$30$\\ \hline \end{longtable}"," ",0,"ln(ln(x)-exp(x))+(-x*ln(ln(5))-x*ln(x))*exp(exp(2*x)-4)","A"
2316,1,15,15,0.432000," ","int(((-x-4)*ln(4+x)+2*x^2+20*x+52)/(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+13 x -\ln \left(4+x \right) x$&$15$\\ risch&$x^{2}+13 x -\ln \left(4+x \right) x$&$15$\\ derivativedivides&$-\left(4+x \right) \ln \left(4+x \right)+20+5 x +\left(4+x \right)^{2}+4 \ln \left(4+x \right)$&$26$\\ default&$-\left(4+x \right) \ln \left(4+x \right)+20+5 x +\left(4+x \right)^{2}+4 \ln \left(4+x \right)$&$26$\\ \hline \end{longtable}"," ",0,"x^2+13*x-ln(4+x)*x","A"
2317,1,15,20,0.033000," ","int(((2*ln(x)-x)*exp(ln(x)^2-ln(5)-3-x)+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{{\mathrm e}^{\ln \left(x \right)^{2}-3-x}}{5}$&$15$\\ default&$x +{\mathrm e}^{\ln \left(x \right)^{2}-\ln \left(5\right)-3-x}$&$17$\\ norman&$x +{\mathrm e}^{\ln \left(x \right)^{2}-\ln \left(5\right)-3-x}$&$17$\\ \hline \end{longtable}"," ",0,"x+1/5*exp(ln(x)^2-3-x)","A"
2318,1,21,21,0.104000," ","int(((-x*exp(x)^2+exp(x)*x)*ln(x)^2*exp(1/exp(x)/ln(x))^2+(-2*exp(x)*x+2*x^2+10*x)*ln(x)-2*exp(x)+2*x+10)*exp(1/exp(1/exp(x)/ln(x))^2)/x/exp(x)/ln(x)^2/exp(1/exp(x)/ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{-\frac{2 \,{\mathrm e}^{-x}}{\ln \left(x \right)}}} \left(x -{\mathrm e}^{x}+5\right)$&$21$\\ \hline \end{longtable}"," ",0,"exp(exp(-2*exp(-x)/ln(x)))*(x-exp(x)+5)","A"
2319,1,54,31,0.063000," ","int(((-25*x^6+175*x^5-350*x^4+200*x^3)*exp(x)^3+(50*x^7-350*x^6+740*x^5-480*x^4+260*x^3-320*x^2)*exp(x)^2+(-25*x^8+175*x^7-390*x^6+280*x^5-376*x^4+472*x^3+256*x^2-32*x)*exp(x)+100*x^5-200*x^4-160*x^3-192*x+128)/(100*x^5-200*x^4+100*x^3)/exp(1/4*(x^2-8*x+16)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(25 x^{4}-50 \,{\mathrm e}^{x} x^{3}+25 \,{\mathrm e}^{2 x} x^{2}+40 x^{2}-40 \,{\mathrm e}^{x} x +16\right) {\mathrm e}^{-\frac{\left(x -4\right)^{2} {\mathrm e}^{x}}{4}}}{25 x^{2} \left(x -1\right)}$&$54$\\ \hline \end{longtable}"," ",0,"1/25/x^2*(25*x^4-50*exp(x)*x^3+25*exp(2*x)*x^2+40*x^2-40*exp(x)*x+16)/(x-1)*exp(-1/4*(x-4)^2*exp(x))","A"
2320,1,37,18,0.041000," ","int((6912000*ln(x)^3+172800*x^2*ln(x)^2+(1440*x^4-120*x^2-240*x)*ln(x)+4*x^6-x^4+2*x^3+240*x)/(6912000*ln(x)^3+172800*x^2*ln(x)^2+(1440*x^4-120*x^2)*ln(x)+4*x^6-x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -2 \ln \left(\frac{x^{2}}{120}+\ln \left(x \right)\right)+\ln \left(\frac{x^{4}}{14400}+\frac{x^{2} \ln \left(x \right)}{60}-\frac{x^{2}}{57600}+\ln \left(x \right)^{2}\right)$&$37$\\ \hline \end{longtable}"," ",0,"x-2*ln(1/120*x^2+ln(x))+ln(1/14400*x^4+1/60*x^2*ln(x)-1/57600*x^2+ln(x)^2)","A"
2321,1,53,23,0.320000," ","int((-ln(x)-x^2+1)/x^2/exp(1)/ln(exp(ln(x)/x)/exp(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{-1} x}{x^{2}+\left(\ln \left({\mathrm e}^{x}\right)-x \right) x -\left(\ln \left({\mathrm e}^{\frac{\ln \left(x \right)}{x}} {\mathrm e}^{-x}\right)-\frac{\ln \left(x \right)}{x}+\ln \left({\mathrm e}^{x}\right)\right) x -\ln \left(x \right)}$&$53$\\ risch&$\frac{2 i {\mathrm e}^{-1}}{\pi  \,\mathrm{csgn}\left(i x^{\frac{1}{x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} x^{\frac{1}{x}}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x^{\frac{1}{x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} x^{\frac{1}{x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)-\pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} x^{\frac{1}{x}}\right)^{3}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} x^{\frac{1}{x}}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)+2 i \ln \left({\mathrm e}^{x}\right)-2 i \ln \left(x^{\frac{1}{x}}\right)}$&$126$\\ \hline \end{longtable}"," ",0,"1/exp(1)*x/(x^2+(ln(exp(x))-x)*x-(ln(exp(ln(x)/x)/exp(x))-ln(x)/x+ln(exp(x)))*x-ln(x))","B"
2322,1,13,18,0.063000," ","int(-3*x^2*exp(5)^2-3*x^2*exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x^{3} \left({\mathrm e}^{10}+{\mathrm e}^{2}\right)$&$13$\\ norman&$\left(-{\mathrm e}^{10}-{\mathrm e}^{2}\right) x^{3}$&$16$\\ risch&$-x^{3} {\mathrm e}^{10}-x^{3} {\mathrm e}^{2}$&$16$\\ default&$-x^{3} {\mathrm e}^{10}-x^{3} {\mathrm e}^{2}$&$18$\\ \hline \end{longtable}"," ",0,"-x^3*(exp(5)^2+exp(2))","A"
2323,1,69,32,0.279000," ","int(((4*ln(1/2*(2*x*ln(5)-x)/ln(5))-5*x^2-x+21)*ln(x)+(-x^2-7*x+4)*ln(1/2*(2*x*ln(5)-x)/ln(5))+6*x^2-46*x+25)/(5*x^2*ln(x)^2-10*x^3*ln(x)+5*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4}{5 x}+\frac{50-2 x \ln \left(\ln \left(5\right)\right)+2 x \ln \left(2 \ln \left(5\right)-1\right)-2 x \ln \left(2\right)+12 x^{2}-8 \ln \left(\ln \left(5\right)\right)+8 \ln \left(2 \ln \left(5\right)-1\right)-8 \ln \left(2\right)+8 x}{10 x \left(x -\ln \left(x \right)\right)}$&$69$\\ default&$\frac{25+6 x \ln \left(x \right)+4 \ln \left(x \right)}{5 x \left(x -\ln \left(x \right)\right)}+\frac{x \ln \left(2 \ln \left(5\right)-1\right)+4 \ln \left(2 \ln \left(5\right)-1\right)}{5 x \left(x -\ln \left(x \right)\right)}+\frac{-x \ln \left(2\right)-4 \ln \left(2\right)}{5 x \left(x -\ln \left(x \right)\right)}+\frac{-x \ln \left(\ln \left(5\right)\right)-4 \ln \left(\ln \left(5\right)\right)}{5 x \left(x -\ln \left(x \right)\right)}$&$106$\\ \hline \end{longtable}"," ",0,"-4/5/x+1/10*(50-2*x*ln(ln(5))+2*x*ln(2*ln(5)-1)-2*x*ln(2)+12*x^2-8*ln(ln(5))+8*ln(2*ln(5)-1)-8*ln(2)+8*x)/x/(x-ln(x))","B"
2324,0,0,24,0.100000," ","int(((8*x^2+4*x+1)*ln(x)-8)*exp(-ln(1/16*ln(x)^8/exp(x)^4/exp(x^2)^4)+2)/ln(x),x)","\[\int \frac{\left(\left(8 x^{2}+4 x +1\right) \ln \left(x \right)-8\right) {\mathrm e}^{-\ln \left(\frac{\ln \left(x \right)^{8} {\mathrm e}^{-4 x} {\mathrm e}^{-4 x^{2}}}{16}\right)+2}}{\ln \left(x \right)}\, dx\]"," ",0,"int(((8*x^2+4*x+1)*ln(x)-8)*exp(-ln(1/16*ln(x)^8/exp(x)^4/exp(x^2)^4)+2)/ln(x),x)","F"
2325,1,22,22,0.033000," ","int(-5*ln(5*x)+(-50*x-25)*exp(x)^2-4*x-4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -25 x \,{\mathrm e}^{2 x}-2 x^{2}-5 x \ln \left(5 x \right)$&$22$\\ norman&$x -25 x \,{\mathrm e}^{2 x}-2 x^{2}-5 x \ln \left(5 x \right)$&$22$\\ risch&$x -25 x \,{\mathrm e}^{2 x}-2 x^{2}-5 x \ln \left(5 x \right)$&$22$\\ \hline \end{longtable}"," ",0,"x-25*x*exp(x)^2-2*x^2-5*x*ln(5*x)","A"
2326,1,17,18,0.071000," ","int(((1-x)*exp(x-ln(x))-x*ln(2*ln(2)))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{{\mathrm e}^{x}}{x}-x \ln \left(2 \ln \left(2\right)\right)$&$17$\\ risch&$-x \ln \left(2\right)-x \ln \left(\ln \left(2\right)\right)-\frac{{\mathrm e}^{x}}{x}$&$20$\\ norman&$\left(-\ln \left(2\right)-\ln \left(\ln \left(2\right)\right)\right) x -{\mathrm e}^{x -\ln \left(x \right)}$&$23$\\ \hline \end{longtable}"," ",0,"-exp(x)/x-x*ln(2*ln(2))","A"
2327,1,12,16,0.026000," ","int(((2*x+1)*exp(x)-4)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+x +4 \,{\mathrm e}^{-x}$&$12$\\ risch&$x^{2}+x +4 \,{\mathrm e}^{-x}$&$12$\\ norman&$\left(4+{\mathrm e}^{x} x +{\mathrm e}^{x} x^{2}\right) {\mathrm e}^{-x}$&$18$\\ \hline \end{longtable}"," ",0,"x^2+x+4/exp(x)","A"
2328,1,12,12,0.056000," ","int(1/2*(-4*exp(22)+x^2)/x^2/exp(22),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{-22}}{2}+\frac{2}{x}$&$12$\\ default&$\frac{{\mathrm e}^{-22} \left(x +\frac{4 \,{\mathrm e}^{22}}{x}\right)}{2}$&$16$\\ norman&$\frac{2+\frac{{\mathrm e}^{-22} x^{2}}{2}}{x}$&$16$\\ gosper&$\frac{\left(x^{2}+4 \,{\mathrm e}^{22}\right) {\mathrm e}^{-22}}{2 x}$&$18$\\ \hline \end{longtable}"," ",0,"1/2*x*exp(-22)+2/x","A"
2329,1,23,22,0.065000," ","int(((3*x+12)*exp(3/ln(ln(3*x)+1))+((3*x^4+12*x^3+x)*ln(3*x)+3*x^4+12*x^3+x)*ln(ln(3*x)+1)^2)/((x^2+4*x)*ln(3*x)+x^2+4*x)/ln(ln(3*x)+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+\ln \left(4+x \right)-{\mathrm e}^{\frac{3}{\ln \left(\ln \left(3 x \right)+1\right)}}$&$23$\\ \hline \end{longtable}"," ",0,"x^3+ln(4+x)-exp(3/ln(ln(3*x)+1))","A"
2330,1,16,22,0.049000," ","int((4*x-6)*exp(-exp(5)+2*x^2-2*x-3)/exp(4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-{\mathrm e}^{5}+2 x^{2}-6 x -3}$&$16$\\ risch&${\mathrm e}^{-{\mathrm e}^{5}+2 x^{2}-6 x -3}$&$16$\\ gosper&${\mathrm e}^{-{\mathrm e}^{5}+2 x^{2}-2 x -3} {\mathrm e}^{-4 x}$&$23$\\ norman&${\mathrm e}^{-{\mathrm e}^{5}+2 x^{2}-2 x -3} {\mathrm e}^{-4 x}$&$23$\\ \hline \end{longtable}"," ",0,"exp(-exp(5)+2*x^2-6*x-3)","A"
2331,1,124,38,0.098000," ","int((((x^4-8*x^3+x^2+120*x-240)*ln(3)+x^4-15*x^2)*ln(1/5*x^2-3)^2+(-x^6+8*x^5-x^4-120*x^3+240*x^2)*ln(1/5*x^2-3)+2*x^6-16*x^5+32*x^4)/(((4*x^4-32*x^3+4*x^2+480*x-960)*ln(3)^2+(-8*x^5+72*x^4-40*x^3-1080*x^2+2400*x)*ln(3)+4*x^6-40*x^5+40*x^4+600*x^3-1500*x^2)*ln(1/5*x^2-3)^2+((8*x^6-64*x^5+8*x^4+960*x^3-1920*x^2)*ln(3)-8*x^7+72*x^6-40*x^5-1080*x^4+2400*x^3)*ln(1/5*x^2-3)+4*x^8-32*x^7+4*x^6+480*x^5-960*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(3\right)-4 \ln \left(3\right)+x}{4 x \ln \left(3\right)-4 x^{2}-16 \ln \left(3\right)+20 x}-\frac{x^{3} \left(x^{2}-8 x +16\right)}{4 \left(x \ln \left(3\right)-x^{2}-4 \ln \left(3\right)+5 x \right) \left(x \ln \left(3\right) \ln \left(\frac{x^{2}}{5}-3\right)-x^{2} \ln \left(\frac{x^{2}}{5}-3\right)+x^{3}-4 \ln \left(3\right) \ln \left(\frac{x^{2}}{5}-3\right)+5 \ln \left(\frac{x^{2}}{5}-3\right) x -4 x^{2}\right)}$&$124$\\ \hline \end{longtable}"," ",0,"1/4*(x*ln(3)-4*ln(3)+x)/(x*ln(3)-x^2-4*ln(3)+5*x)-1/4*x^3*(x^2-8*x+16)/(x*ln(3)-x^2-4*ln(3)+5*x)/(x*ln(3)*ln(1/5*x^2-3)-x^2*ln(1/5*x^2-3)+x^3-4*ln(3)*ln(1/5*x^2-3)+5*ln(1/5*x^2-3)*x-4*x^2)","B"
2332,1,44,29,0.110000," ","int((-8*x^6+24*x^5+16*x^4-72*x^3-160*x+400)/(4*x^3*ln(2)^2-x^7+4*x^6+4*x^5-36*x^4+24*x^3+80*x^2-100*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 \ln \left(x \right)+2 \ln \left(100+x^{6}-4 x^{5}-4 x^{4}+36 x^{3}+\left(-4 \ln \left(2\right)^{2}-24\right) x^{2}-80 x \right)$&$44$\\ default&$2 \ln \left(x^{3}-2 x \ln \left(2\right)-2 x^{2}-4 x +10\right)-4 \ln \left(x \right)+2 \ln \left(x^{3}+2 x \ln \left(2\right)-2 x^{2}-4 x +10\right)$&$48$\\ norman&$-4 \ln \left(x \right)+2 \ln \left(-x^{3}+2 x \ln \left(2\right)+2 x^{2}+4 x -10\right)+2 \ln \left(x^{3}+2 x \ln \left(2\right)-2 x^{2}-4 x +10\right)$&$50$\\ \hline \end{longtable}"," ",0,"-4*ln(x)+2*ln(100+x^6-4*x^5-4*x^4+36*x^3+(-4*ln(2)^2-24)*x^2-80*x)","A"
2333,1,32,18,0.050000," ","int(1/3*((-4*exp(1)+8*x)*ln(ln(2))-16*x*exp(1)+24*x^2)/ln(ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{4 x \left(\ln \left(\ln \left(2\right)\right) {\mathrm e}+2 x \,{\mathrm e}-x \ln \left(\ln \left(2\right)\right)-2 x^{2}\right)}{3 \ln \left(\ln \left(2\right)\right)}$&$32$\\ risch&$-\frac{4 x \,{\mathrm e}}{3}-\frac{8 x^{2} {\mathrm e}}{3 \ln \left(\ln \left(2\right)\right)}+\frac{4 x^{2}}{3}+\frac{8 x^{3}}{3 \ln \left(\ln \left(2\right)\right)}$&$34$\\ default&$\frac{\ln \left(\ln \left(2\right)\right) \left(-4 x \,{\mathrm e}+4 x^{2}\right)-8 x^{2} {\mathrm e}+8 x^{3}}{3 \ln \left(\ln \left(2\right)\right)}$&$36$\\ norman&$-\frac{4 x \,{\mathrm e}}{3}+\frac{8 x^{3}}{3 \ln \left(\ln \left(2\right)\right)}-\frac{4 \left(2 \,{\mathrm e}-\ln \left(\ln \left(2\right)\right)\right) x^{2}}{3 \ln \left(\ln \left(2\right)\right)}$&$37$\\ \hline \end{longtable}"," ",0,"-4/3*x*(ln(ln(2))*exp(1)+2*x*exp(1)-x*ln(ln(2))-2*x^2)/ln(ln(2))","A"
2334,1,8,12,0.019000," ","int(2*x-5/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-\frac{5}{3} x$&$8$\\ norman&$x^{2}-\frac{5}{3} x$&$8$\\ risch&$x^{2}-\frac{5}{3} x$&$8$\\ gosper&$\frac{x \left(3 x -5\right)}{3}$&$9$\\ \hline \end{longtable}"," ",0,"x^2-5/3*x","A"
2335,1,21,17,0.398000," ","int(((8*x^8+80*x^7+10*x^5+100*x^4+2*x^2+20*x)*ln(x+10)^2+(x+10)*ln(x+10)-x)/(x+10)/ln(x+10)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{8}+2 x^{5}+x^{2}+\frac{x}{\ln \left(x +10\right)}$&$21$\\ derivativedivides&$\left(x +10\right)^{8}-80 \left(x +10\right)^{7}+2800 \left(x +10\right)^{6}-55998 \left(x +10\right)^{5}+699900 \left(x +10\right)^{4}-5598000 \left(x +10\right)^{3}+27980001 \left(x +10\right)^{2}-79900020 x -799000200+\frac{x +10}{\ln \left(x +10\right)}-\frac{10}{\ln \left(x +10\right)}$&$71$\\ default&$\left(x +10\right)^{8}-80 \left(x +10\right)^{7}+2800 \left(x +10\right)^{6}-55998 \left(x +10\right)^{5}+699900 \left(x +10\right)^{4}-5598000 \left(x +10\right)^{3}+27980001 \left(x +10\right)^{2}-79900020 x -799000200+\frac{x +10}{\ln \left(x +10\right)}-\frac{10}{\ln \left(x +10\right)}$&$71$\\ \hline \end{longtable}"," ",0,"x^8+2*x^5+x^2+x/ln(x+10)","A"
2336,1,22,22,0.049000," ","int((((3*exp(x)*x^2-2*x)*exp(3*exp(x))+6*x)*exp(-x^2/(2*exp(3*exp(x))-6))-4*x*exp(3*exp(x))^2+24*x*exp(3*exp(x))-36*x)/(2*exp(3*exp(x))^2-12*exp(3*exp(x))+18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+{\mathrm e}^{-\frac{x^{2}}{2 \left({\mathrm e}^{3 \,{\mathrm e}^{x}}-3\right)}}$&$22$\\ \hline \end{longtable}"," ",0,"-x^2+exp(-1/2*x^2/(exp(3*exp(x))-3))","A"
2337,1,21,18,0.056000," ","int(1/15*(-8*x^2*ln(x^2+x)-8*x^2+4*x+4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4 x^{2} \ln \left(x^{2}+x \right)}{15}+\frac{4 \ln \left(x^{2}+x \right)}{15}$&$21$\\ risch&$-\frac{4 x^{2} \ln \left(x^{2}+x \right)}{15}+\frac{4 \ln \left(x^{2}+x \right)}{15}$&$21$\\ default&$\frac{4 \ln \left(x \right)}{15}-\frac{4 x^{2} \ln \left(x^{2}+x \right)}{15}+\frac{4 \ln \left(x +1\right)}{15}$&$23$\\ \hline \end{longtable}"," ",0,"-4/15*x^2*ln(x^2+x)+4/15*ln(x^2+x)","A"
2338,1,232,20,0.547000," ","int(((3*x^3+6*x^2+3*x)*exp(x)-3)/(2*exp((x^2+1)*exp(x))-x)/ln((-12*exp((x^2+1)*exp(x))+6*x)/exp((x^2+1)*exp(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \ln \left(\ln \left({\mathrm e}^{\left(x^{2}+1\right) {\mathrm e}^{x}}\right)+\frac{i \left(\pi  \,\mathrm{csgn}\left(i \left(-2 \,{\mathrm e}^{\left(x^{2}+1\right) {\mathrm e}^{x}}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x^{2}+1\right) {\mathrm e}^{x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x^{2}+1\right) {\mathrm e}^{x}} \left(-2 \,{\mathrm e}^{\left(x^{2}+1\right) {\mathrm e}^{x}}+x \right)\right)-\pi  \,\mathrm{csgn}\left(i \left(-2 \,{\mathrm e}^{\left(x^{2}+1\right) {\mathrm e}^{x}}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x^{2}+1\right) {\mathrm e}^{x}} \left(-2 \,{\mathrm e}^{\left(x^{2}+1\right) {\mathrm e}^{x}}+x \right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-\left(x^{2}+1\right) {\mathrm e}^{x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x^{2}+1\right) {\mathrm e}^{x}} \left(-2 \,{\mathrm e}^{\left(x^{2}+1\right) {\mathrm e}^{x}}+x \right)\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{-\left(x^{2}+1\right) {\mathrm e}^{x}} \left(-2 \,{\mathrm e}^{\left(x^{2}+1\right) {\mathrm e}^{x}}+x \right)\right)^{3}+2 i \ln \left(2\right)+2 i \ln \left(3\right)+2 i \ln \left(-2 \,{\mathrm e}^{\left(x^{2}+1\right) {\mathrm e}^{x}}+x \right)\right)}{2}\right)$&$232$\\ \hline \end{longtable}"," ",0,"3*ln(ln(exp((x^2+1)*exp(x)))+1/2*I*(Pi*csgn(I*(-2*exp((x^2+1)*exp(x))+x))*csgn(I*exp(-(x^2+1)*exp(x)))*csgn(I*exp(-(x^2+1)*exp(x))*(-2*exp((x^2+1)*exp(x))+x))-Pi*csgn(I*(-2*exp((x^2+1)*exp(x))+x))*csgn(I*exp(-(x^2+1)*exp(x))*(-2*exp((x^2+1)*exp(x))+x))^2-Pi*csgn(I*exp(-(x^2+1)*exp(x)))*csgn(I*exp(-(x^2+1)*exp(x))*(-2*exp((x^2+1)*exp(x))+x))^2+Pi*csgn(I*exp(-(x^2+1)*exp(x))*(-2*exp((x^2+1)*exp(x))+x))^3+2*I*ln(2)+2*I*ln(3)+2*I*ln(-2*exp((x^2+1)*exp(x))+x)))","C"
2339,1,68,28,0.188000," ","int((25*ln(3)*ln(4*x)^2+(-150*x^2+800*x-750)*ln(3)*ln(4*x)+(125*x^4-1600*x^3+7150*x^2-12400*x+5600)*ln(3)-10*x+4)/(25*x*ln(3)*ln(4*x)^2+(-50*x^3+400*x^2-800*x)*ln(3)*ln(4*x)+(25*x^5-400*x^4+2400*x^3-6400*x^2+6400*x)*ln(3)-5*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left(\ln \left(4 x \right)^{2}+\left(-2 x^{2}+16 x -32\right) \ln \left(4 x \right)+\frac{25 x^{4} \ln \left(3\right)-400 x^{3} \ln \left(3\right)+2400 x^{2} \ln \left(3\right)-6400 x \ln \left(3\right)+6400 \ln \left(3\right)-5 x +4}{25 \ln \left(3\right)}\right)$&$68$\\ norman&$\ln \left(4 x \right)+\ln \left(25 x^{4} \ln \left(3\right)-50 \ln \left(3\right) \ln \left(4 x \right) x^{2}-400 x^{3} \ln \left(3\right)+25 \ln \left(3\right) \ln \left(4 x \right)^{2}+400 \ln \left(3\right) \ln \left(4 x \right) x +2400 x^{2} \ln \left(3\right)-800 \ln \left(3\right) \ln \left(4 x \right)-6400 x \ln \left(3\right)+6400 \ln \left(3\right)-5 x +4\right)$&$80$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(ln(4*x)^2+(-2*x^2+16*x-32)*ln(4*x)+1/25*(25*x^4*ln(3)-400*x^3*ln(3)+2400*x^2*ln(3)-6400*x*ln(3)+6400*ln(3)-5*x+4)/ln(3))","B"
2340,1,19,11,0.054000," ","int(((exp(x)*x-2)*exp(exp(x))+x^3)/(x*exp(exp(x))+x^4-5*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 \ln \left(x \right)+\ln \left(x^{3}-5 x^{2}+{\mathrm e}^{{\mathrm e}^{x}}\right)$&$19$\\ risch&$-2 \ln \left(x \right)+\ln \left(x^{3}-5 x^{2}+{\mathrm e}^{{\mathrm e}^{x}}\right)$&$19$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+ln(x^3-5*x^2+exp(exp(x)))","A"
2341,1,7,11,0.043000," ","int((2*x^2+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)+x^{2}$&$7$\\ norman&$\ln \left(x \right)+x^{2}$&$7$\\ risch&$\ln \left(x \right)+x^{2}$&$7$\\ \hline \end{longtable}"," ",0,"ln(x)+x^2","A"
2342,1,27,27,0.077000," ","int((8*x^3*exp(x)*exp(4*x^2)+((-2*x^2-x+1)*exp(x)^2+(-2*x^2+1)*exp(x)+10*x^2-5*x-5)*exp(x^2))/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{4 x^{2}}-\frac{\left({\mathrm e}^{2 x}+{\mathrm e}^{x}-5\right) {\mathrm e}^{x \left(x -1\right)}}{x}$&$27$\\ \hline \end{longtable}"," ",0,"exp(4*x^2)-1/x*(exp(2*x)+exp(x)-5)*exp(x*(x-1))","A"
2343,1,24,18,0.064000," ","int(1/2*((x-5)*exp(exp(3)^2+10*exp(3)+23)+1)/exp(exp(3)^2+10*exp(3)+23),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{4}-\frac{5 x}{2}+\frac{x \,{\mathrm e}^{-{\mathrm e}^{6}-10 \,{\mathrm e}^{3}-23}}{2}$&$24$\\ default&$\frac{{\mathrm e}^{-{\mathrm e}^{6}-10 \,{\mathrm e}^{3}-23} \left({\mathrm e}^{{\mathrm e}^{6}+10 \,{\mathrm e}^{3}+23} \left(\frac{1}{2} x^{2}-5 x \right)+x \right)}{2}$&$39$\\ norman&$\frac{x^{2}}{4}-\frac{{\mathrm e}^{-{\mathrm e}^{6}} {\mathrm e}^{-10 \,{\mathrm e}^{3}} {\mathrm e}^{-23} \left(5 \,{\mathrm e}^{{\mathrm e}^{6}} {\mathrm e}^{10 \,{\mathrm e}^{3}} {\mathrm e}^{23}-1\right) x}{2}$&$42$\\ gosper&$\frac{x \left({\mathrm e}^{{\mathrm e}^{6}+10 \,{\mathrm e}^{3}+23} x -10 \,{\mathrm e}^{{\mathrm e}^{6}+10 \,{\mathrm e}^{3}+23}+2\right) {\mathrm e}^{-{\mathrm e}^{6}-10 \,{\mathrm e}^{3}-23}}{4}$&$45$\\ \hline \end{longtable}"," ",0,"1/4*x^2-5/2*x+1/2*x*exp(-exp(6)-10*exp(3)-23)","A"
2344,1,34,25,0.127000," ","int(((x*ln(x)^2+(2*x^2-25)*ln(x)+x^3-50*x-25)*exp((x*exp(1)*ln(x)+x^2*exp(1)+25)/(x*ln(x)+x^2))^2+ln(x)^2+2*x*ln(x)+x^2)/(ln(x)^2+2*x*ln(x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x^{2} {\mathrm e}^{\frac{2 x \,{\mathrm e} \ln \left(x \right)+2 x^{2} {\mathrm e}+50}{\left(x +\ln \left(x \right)\right) x}}}{2}$&$34$\\ \hline \end{longtable}"," ",0,"x+1/2*x^2*exp(2*(x*exp(1)*ln(x)+x^2*exp(1)+25)/x/(x+ln(x)))","A"
2345,1,29,25,0.038000," ","int(((-9000*x^6+15000*x^5-6000*x^4+360*x)*ln(x)-1500*x^6+3000*x^5-1500*x^4+360*x+1200)/(625*x^13-2500*x^12+3750*x^11-2500*x^10+625*x^9-300*x^8-400*x^7+1700*x^6-1000*x^5+36*x^3+240*x^2+400*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{60}{\left(25 x^{6}-50 x^{5}+25 x^{4}-6 x -20\right) \ln \left(x \right)}$&$29$\\ \hline \end{longtable}"," ",0,"60/(25*x^6-50*x^5+25*x^4-6*x-20)/ln(x)","A"
2346,1,12,14,0.021000," ","int(-3/25*x^2-12/25*x-9/25,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(x^{2}+6 x +9\right)}{25}$&$12$\\ default&$-\frac{1}{25} x^{3}-\frac{6}{25} x^{2}-\frac{9}{25} x$&$15$\\ norman&$-\frac{1}{25} x^{3}-\frac{6}{25} x^{2}-\frac{9}{25} x$&$15$\\ risch&$-\frac{1}{25} x^{3}-\frac{6}{25} x^{2}-\frac{9}{25} x$&$15$\\ \hline \end{longtable}"," ",0,"-1/25*x*(x^2+6*x+9)","A"
2347,1,221,22,0.187000," ","int((((-5*x+2)*exp(exp(x))+25*x-10)*ln((-25*x^2+20*x-4)*exp(exp(x))+125*x^2-100*x+20)+((5*x^2-2*x)*exp(x)+10*x)*exp(exp(x))-50*x)/((5*x^3-2*x^2)*exp(exp(x))-25*x^3+10*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)}{x}+\frac{-i \pi  \mathrm{csgn}\left(i \left(x -\frac{2}{5}\right)\right)^{2} \mathrm{csgn}\left(i \left(x -\frac{2}{5}\right)^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i \left(x -\frac{2}{5}\right)\right) \mathrm{csgn}\left(i \left(x -\frac{2}{5}\right)^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i \left(x -\frac{2}{5}\right)^{2}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i \left(x -\frac{2}{5}\right)^{2}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right) \mathrm{csgn}\left(i \left(x -\frac{2}{5}\right)^{2} \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(x -\frac{2}{5}\right)^{2}\right) \mathrm{csgn}\left(i \left(x -\frac{2}{5}\right)^{2} \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right) \mathrm{csgn}\left(i \left(x -\frac{2}{5}\right)^{2} \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{2}+i \pi  \mathrm{csgn}\left(i \left(x -\frac{2}{5}\right)^{2} \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{3}-2 i \pi  \mathrm{csgn}\left(i \left(x -\frac{2}{5}\right)^{2} \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{2}+2 i \pi +4 \ln \left(x -\frac{2}{5}\right)}{2 x}$&$221$\\ \hline \end{longtable}"," ",0,"1/x*ln(exp(exp(x))-5)+1/2*(-I*Pi*csgn(I*(x-2/5))^2*csgn(I*(x-2/5)^2)+2*I*Pi*csgn(I*(x-2/5))*csgn(I*(x-2/5)^2)^2-I*Pi*csgn(I*(x-2/5)^2)^3-I*Pi*csgn(I*(x-2/5)^2)*csgn(I*(exp(exp(x))-5))*csgn(I*(x-2/5)^2*(exp(exp(x))-5))+I*Pi*csgn(I*(x-2/5)^2)*csgn(I*(x-2/5)^2*(exp(exp(x))-5))^2+I*Pi*csgn(I*(exp(exp(x))-5))*csgn(I*(x-2/5)^2*(exp(exp(x))-5))^2+I*Pi*csgn(I*(x-2/5)^2*(exp(exp(x))-5))^3-2*I*Pi*csgn(I*(x-2/5)^2*(exp(exp(x))-5))^2+2*I*Pi+4*ln(x-2/5))/x","C"
2348,1,27,24,0.047000," ","int(((8*ln(4*x)+2*x^4-20*x^2+18*x+50)*ln(4*ln(4*x)+x^4-10*x^2+9*x+25)*ln(ln(4*ln(4*x)+x^4-10*x^2+9*x+25))-8*x^4+40*x^2-18*x-8)/(4*ln(4*x)+x^4-10*x^2+9*x+25)/ln(4*ln(4*x)+x^4-10*x^2+9*x+25)/ln(ln(4*ln(4*x)+x^4-10*x^2+9*x+25))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{\ln \left(\ln \left(4 \ln \left(4 x \right)+x^{4}-10 x^{2}+9 x +25\right)\right)}$&$27$\\ \hline \end{longtable}"," ",0,"2*x/ln(ln(4*ln(4*x)+x^4-10*x^2+9*x+25))","A"
2349,1,41,30,0.270000," ","int((((8*x+5)*exp(5/2*ln(x)+4*x+3)^2+(8*x^2+7*x)*exp(5/2*ln(x)+4*x+3)+2*x^2-x-1)*exp(exp(5/2*ln(x)+4*x+3)^2+2*x*exp(5/2*ln(x)+4*x+3)+x^2-x)+2*x^3-x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-x +\frac{{\mathrm e}^{x^{5} {\mathrm e}^{8 x +6}+2 x^{\frac{7}{2}} {\mathrm e}^{3+4 x}+x^{2}-x}}{x}$&$41$\\ \hline \end{longtable}"," ",0,"x^2-x+1/x*exp(x^5*exp(8*x+6)+2*x^(7/2)*exp(3+4*x)+x^2-x)","A"
2350,1,19,19,0.101000," ","int((8*x*ln(ln(2))-36*x-8)/(20*x^4*ln(ln(2))^2+(-180*x^4-80*x^3)*ln(ln(2))+405*x^4+360*x^3+80*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{2}{5 x \left(2 x \ln \left(\ln \left(2\right)\right)-9 x -4\right)}$&$19$\\ norman&$-\frac{2}{5 x \left(2 x \ln \left(\ln \left(2\right)\right)-9 x -4\right)}$&$19$\\ risch&$-\frac{2}{5 x \left(2 x \ln \left(\ln \left(2\right)\right)-9 x -4\right)}$&$19$\\ default&$-\frac{\left(2 \ln \left(\ln \left(2\right)\right)-9\right)^{2}}{10 \left(-2 \ln \left(\ln \left(2\right)\right)+9\right) \left(-2 x \ln \left(\ln \left(2\right)\right)+9 x +4\right)}+\frac{1}{10 x}$&$40$\\ \hline \end{longtable}"," ",0,"-2/5/x/(2*x*ln(ln(2))-9*x-4)","A"
2351,1,9,11,0.087000," ","int(-16*exp((-20*x+16)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{-20+\frac{16}{x}}$&$9$\\ default&${\mathrm e}^{-20+\frac{16}{x}}$&$9$\\ norman&${\mathrm e}^{\frac{-20 x +16}{x}}$&$11$\\ gosper&${\mathrm e}^{-\frac{4 \left(5 x -4\right)}{x}}$&$12$\\ risch&${\mathrm e}^{-\frac{4 \left(5 x -4\right)}{x}}$&$12$\\ meijerg&$-{\mathrm e}^{-20} \left(1-{\mathrm e}^{\frac{16}{x}}\right)$&$15$\\ \hline \end{longtable}"," ",0,"exp(-20+16/x)","A"
2352,1,74,22,0.051000," ","int((((2*x+1)*exp(x)^2+(32*x+32)*exp(x)+2*x+256)*ln(x)^5+((-32*x^3-96*x^2)*exp(x)-1536*x^2)*ln(x)^4+((8*x^5+40*x^4+32*x^2)*exp(x)+1920*x^4+512*x^2)*ln(x)^3+(-16*exp(x)*x^4-896*x^6-768*x^4)*ln(x)^2+(144*x^8+384*x^6)*ln(x)-64*x^8)/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{2 x}+x^{2}+32 \,{\mathrm e}^{x} x +256 x +\frac{8 x^{3} \left(2 x^{6}-16 x^{4} \ln \left(x \right)+x^{2} {\mathrm e}^{x} \ln \left(x \right)^{2}+48 x^{2} \ln \left(x \right)^{2}-4 \,{\mathrm e}^{x} \ln \left(x \right)^{3}-64 \ln \left(x \right)^{3}\right)}{\ln \left(x \right)^{4}}$&$74$\\ \hline \end{longtable}"," ",0,"x*exp(2*x)+x^2+32*exp(x)*x+256*x+8*x^3*(2*x^6-16*x^4*ln(x)+x^2*exp(x)*ln(x)^2+48*x^2*ln(x)^2-4*exp(x)*ln(x)^3-64*ln(x)^3)/ln(x)^4","B"
2353,1,127,17,0.107000," ","int(((-4*x^2+5*x)*ln(-x^2+5/4*x)-8*x^2+9*x-5)/((4*x^2-5*x)*ln(x)+(-4*x^3+5*x^2)*ln(-x^2+5/4*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left(\ln \left(x -\frac{5}{4}\right)+\frac{i \left(\pi  x \,\mathrm{csgn}\left(i \left(x -\frac{5}{4}\right)\right) \mathrm{csgn}\left(i x \left(x -\frac{5}{4}\right)\right)^{2}-\pi  x \,\mathrm{csgn}\left(i \left(x -\frac{5}{4}\right)\right) \mathrm{csgn}\left(i x \left(x -\frac{5}{4}\right)\right) \mathrm{csgn}\left(i x \right)+\pi  x \mathrm{csgn}\left(i x \left(x -\frac{5}{4}\right)\right)^{3}+\pi  x \mathrm{csgn}\left(i x \left(x -\frac{5}{4}\right)\right)^{2} \mathrm{csgn}\left(i x \right)-2 \pi  x \mathrm{csgn}\left(i x \left(x -\frac{5}{4}\right)\right)^{2}+4 i x \ln \left(2\right)-2 i x \ln \left(x \right)+2 \pi  x +2 i \ln \left(x \right)\right)}{2 x}\right)$&$127$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(ln(x-5/4)+1/2*I/x*(Pi*x*csgn(I*(x-5/4))*csgn(I*x*(x-5/4))^2-Pi*x*csgn(I*(x-5/4))*csgn(I*x*(x-5/4))*csgn(I*x)+Pi*x*csgn(I*x*(x-5/4))^3+Pi*x*csgn(I*x*(x-5/4))^2*csgn(I*x)-2*Pi*x*csgn(I*x*(x-5/4))^2+4*I*x*ln(2)-2*I*x*ln(x)+2*Pi*x+2*I*ln(x)))","C"
2354,1,14,14,0.070000," ","int(3/2*exp(-3/2*x)+2*x-5/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\frac{5 x}{2}+x^{2}-{\mathrm e}^{-\frac{3 x}{2}}$&$14$\\ default&$-\frac{5 x}{2}+x^{2}-{\mathrm e}^{-\frac{3 x}{2}}$&$14$\\ norman&$-\frac{5 x}{2}+x^{2}-{\mathrm e}^{-\frac{3 x}{2}}$&$14$\\ risch&$-\frac{5 x}{2}+x^{2}-{\mathrm e}^{-\frac{3 x}{2}}$&$14$\\ \hline \end{longtable}"," ",0,"-5/2*x+x^2-exp(-3/2*x)","A"
2355,1,25,13,0.089000," ","int((-ln(1/6*exp(x))-2*x)/x^2/ln(1/6*exp(x))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4}{x \left(2 i \ln \left(2\right)+2 i \ln \left(3\right)-2 i \ln \left({\mathrm e}^{x}\right)\right)^{2}}$&$25$\\ default&$-\frac{1}{\left(\ln \left(\frac{{\mathrm e}^{x}}{6}\right)-x \right)^{2} \ln \left(\frac{{\mathrm e}^{x}}{6}\right)}+\frac{1}{\left(\ln \left(\frac{{\mathrm e}^{x}}{6}\right)-x \right)^{2} x}-\frac{1}{\left(\ln \left(\frac{{\mathrm e}^{x}}{6}\right)-x \right) \ln \left(\frac{{\mathrm e}^{x}}{6}\right)^{2}}$&$57$\\ \hline \end{longtable}"," ",0,"-4/x/(2*I*ln(2)+2*I*ln(3)-2*I*ln(exp(x)))^2","C"
2356,1,11,11,0.033000," ","int(1/2*(8*ln(x^2)+3*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 x}{2}+\ln \left(x^{2}\right)^{2}$&$11$\\ norman&$\frac{3 x}{2}+\ln \left(x^{2}\right)^{2}$&$11$\\ risch&$\frac{3 x}{2}+\ln \left(x^{2}\right)^{2}$&$11$\\ \hline \end{longtable}"," ",0,"3/2*x+ln(x^2)^2","A"
2357,1,37,23,0.098000," ","int(1/3*((-4*x^3+20*x^2)*exp(x^2)^2+(-4*x^3+18*x^2+10*x)*exp(x)*exp(x^2)+(-2*x^2+10*x)*exp(x)^2-x^2+4*x+10)/x^3/exp(exp(x^2)^2+2*exp(x)*exp(x^2)+exp(x)^2+5+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x -5\right) {\mathrm e}^{-{\mathrm e}^{2 x^{2}}-2 \,{\mathrm e}^{\left(x +1\right) x}-{\mathrm e}^{2 x}-5-x}}{3 x^{2}}$&$37$\\ \hline \end{longtable}"," ",0,"1/3/x^2*(x-5)*exp(-exp(2*x^2)-2*exp((x+1)*x)-exp(2*x)-5-x)","A"
2358,1,40,30,0.214000," ","int(((-24*exp(x)*x^2+12*x^3+6*x)*exp(x^2)^2*exp(exp(x))^4+((24*exp(x)*x^2-24*x^3-12*x)*exp(x^2)^2*ln(x)+12*x*exp(x^2)^2)*exp(exp(x))^2+(12*x^3+6*x)*exp(x^2)^2*ln(x)^2-12*x*exp(x^2)^2*ln(x)+(-12*x^5+6*x^3)*exp(x^2)^2)/(exp(exp(x))^12-6*ln(x)*exp(exp(x))^10+(15*ln(x)^2-3*x^2)*exp(exp(x))^8+(-20*ln(x)^3+12*x^2*ln(x))*exp(exp(x))^6+(15*ln(x)^4-18*x^2*ln(x)^2+3*x^4)*exp(exp(x))^4+(-6*ln(x)^5+12*x^2*ln(x)^3-6*x^4*ln(x))*exp(exp(x))^2+ln(x)^6-3*x^2*ln(x)^4+3*x^4*ln(x)^2-x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x^{2} {\mathrm e}^{2 x^{2}}}{\left(-{\mathrm e}^{4 \,{\mathrm e}^{x}}+2 \ln \left(x \right) {\mathrm e}^{2 \,{\mathrm e}^{x}}+x^{2}-\ln \left(x \right)^{2}\right)^{2}}$&$40$\\ \hline \end{longtable}"," ",0,"3*x^2*exp(2*x^2)/(-exp(4*exp(x))+2*ln(x)*exp(2*exp(x))+x^2-ln(x)^2)^2","A"
2359,1,36,27,0.257000," ","int((-2*exp(2+x)^2+(-2*x^2+8*x)*exp(2+x)-4*x^2)/((x^2+8*x+16)*exp(2+x)^2+(-4*x^3-24*x^2-32*x)*exp(2+x)+4*x^4+16*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-2 \,{\mathrm e}^{2+x}+2 x}{2 x^{2}-x \,{\mathrm e}^{2+x}+4 x -4 \,{\mathrm e}^{2+x}}$&$36$\\ risch&$\frac{2}{4+x}-\frac{2 x^{2}}{\left(4+x \right) \left(2 x^{2}-x \,{\mathrm e}^{2+x}+4 x -4 \,{\mathrm e}^{2+x}\right)}$&$43$\\ \hline \end{longtable}"," ",0,"(-2*exp(2+x)+2*x)/(2*x^2-x*exp(2+x)+4*x-4*exp(2+x))","A"
2360,1,22,22,0.073000," ","int(((-exp(-x^2+x)-4)*exp(x)*exp(exp(x))*ln(exp(-x^2+x)+4)+((2*exp(-x^2+x)+8)*exp(x)+(2*x-1)*exp(-x^2+x))*exp(exp(x)))/(exp(-x^2+x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{{\mathrm e}^{x}} \ln \left({\mathrm e}^{-x \left(x -1\right)}+4\right)+2 \,{\mathrm e}^{{\mathrm e}^{x}}$&$22$\\ \hline \end{longtable}"," ",0,"-exp(exp(x))*ln(exp(-x*(x-1))+4)+2*exp(exp(x))","A"
2361,1,18,17,0.072000," ","int((ln(x)-1)/(3*ln(5)-15*exp(5)+60)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{3 \left(\ln \left(5\right)-5 \,{\mathrm e}^{5}+20\right) \ln \left(x \right)}$&$18$\\ risch&$\frac{x}{\left(3 \ln \left(5\right)-15 \,{\mathrm e}^{5}+60\right) \ln \left(x \right)}$&$19$\\ norman&$-\frac{x}{3 \left(-\ln \left(5\right)+5 \,{\mathrm e}^{5}-20\right) \ln \left(x \right)}$&$20$\\ \hline \end{longtable}"," ",0,"1/3*x/(ln(5)-5*exp(5)+20)/ln(x)","A"
2362,1,109,27,0.472000," ","int((((-32*x^4-32*x^3-128*x^2-128*x)*exp(x)^2+(8*x^5+32*x^4+48*x^3+128*x^2+64*x)*exp(x)-4*x^5-6*x^4-18*x^3-24*x^2-8*x)*ln(x)+(-32*x^5-80*x^4-176*x^3-320*x^2-192*x)*exp(x)^2+(8*x^6+48*x^5+96*x^4+216*x^3+256*x^2+96*x)*exp(x)-5*x^6-13*x^5-31*x^4-55*x^3-44*x^2-10*x)/(x^2+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x^{4}+8 \,{\mathrm e}^{x} x^{3}-16 \,{\mathrm e}^{2 x} x^{2}-2 x^{3}+8 \,{\mathrm e}^{x} x^{2}-x^{2}\right) \ln \left(x \right)-x^{5}+8 \,{\mathrm e}^{x} x^{4}-16 \,{\mathrm e}^{2 x} x^{3}-3 x^{4}+16 \,{\mathrm e}^{x} x^{3}-16 \,{\mathrm e}^{2 x} x^{2}-3 x^{3}+8 \,{\mathrm e}^{x} x^{2}-x^{2}+\ln \left(x^{2}+4\right)$&$109$\\ default&$-16 \,{\mathrm e}^{2 x} x^{3}-16 \,{\mathrm e}^{2 x} x^{2}-16 \ln \left(x \right) {\mathrm e}^{2 x} x^{2}+8 \,{\mathrm e}^{x} x^{2}+16 \,{\mathrm e}^{x} x^{3}+8 \,{\mathrm e}^{x} x^{4}+8 x^{2} {\mathrm e}^{x} \ln \left(x \right)+8 x^{3} {\mathrm e}^{x} \ln \left(x \right)-x^{5}-3 x^{4}-3 x^{3}-x^{2}+\ln \left(x^{2}+4\right)-x^{4} \ln \left(x \right)-2 x^{3} \ln \left(x \right)-x^{2} \ln \left(x \right)$&$117$\\ \hline \end{longtable}"," ",0,"(-x^4+8*exp(x)*x^3-16*exp(2*x)*x^2-2*x^3+8*exp(x)*x^2-x^2)*ln(x)-x^5+8*exp(x)*x^4-16*exp(2*x)*x^3-3*x^4+16*exp(x)*x^3-16*exp(2*x)*x^2-3*x^3+8*exp(x)*x^2-x^2+ln(x^2+4)","B"
2363,1,17,21,0.049000," ","int(1/4*(4*ln(x)-x^2+4*x-8)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(x \right)}{x}+\frac{1}{x}-\frac{x}{4}+\ln \left(x \right)$&$17$\\ norman&$\frac{1+x \ln \left(x \right)-\frac{x^{2}}{4}-\ln \left(x \right)}{x}$&$20$\\ risch&$-\frac{\ln \left(x \right)}{x}+\frac{4 x \ln \left(x \right)-x^{2}+4}{4 x}$&$26$\\ \hline \end{longtable}"," ",0,"-ln(x)/x+1/x-1/4*x+ln(x)","A"
2364,1,31,29,0.245000," ","int(((-2*x*exp(1)^2*ln(2)^2*ln(x)-10*exp(1)^2*ln(2)^2)*exp((-x-5)*ln(2)^2*ln(x)+x*ln(2)^2)^2-2*x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{-2 \left(5+x \right) \ln \left(2\right)^{2}} {\mathrm e}^{2+2 x \ln \left(2\right)^{2}}-x^{2}$&$31$\\ default&${\mathrm e}^{2} {\mathrm e}^{\left(-2 x -10\right) \ln \left(2\right)^{2} \ln \left(x \right)+2 x \ln \left(2\right)^{2}}-x^{2}$&$34$\\ norman&${\mathrm e}^{2} {\mathrm e}^{\left(-2 x -10\right) \ln \left(2\right)^{2} \ln \left(x \right)+2 x \ln \left(2\right)^{2}}-x^{2}$&$34$\\ \hline \end{longtable}"," ",0,"(x^(-(5+x)*ln(2)^2))^2*exp(2+2*x*ln(2)^2)-x^2","A"
2365,1,23,24,0.457000," ","int(((-10*x^2+11*x-1)*ln(-2*x^3+2*x^2)^2+(-30*x^2+26*x-4)*ln(-2*x^3+2*x^2))/(x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-5 x^{2}+x \right) \ln \left(-2 x^{3}+2 x^{2}\right)^{2}$&$23$\\ norman&$\ln \left(-2 x^{3}+2 x^{2}\right)^{2} x -5 \ln \left(-2 x^{3}+2 x^{2}\right)^{2} x^{2}$&$37$\\ \hline \end{longtable}"," ",0,"(-5*x^2+x)*ln(-2*x^3+2*x^2)^2","A"
2366,1,9,9,0.031000," ","int(1/9*(9*x+2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-\frac{2}{9 x}$&$9$\\ norman&$\ln \left(x \right)-\frac{2}{9 x}$&$9$\\ risch&$\ln \left(x \right)-\frac{2}{9 x}$&$9$\\ \hline \end{longtable}"," ",0,"ln(x)-2/9/x","A"
2367,1,29,31,0.304000," ","int(((-5*x^4-40*x^2-80)*exp(3*x^2/(x^2+4))^2+(2*(-x^4+16*x^2-16)*ln(2)-10*x^5+4*x^4-80*x^3-64*x^2-160*x+64)*exp(3*x^2/(x^2+4))-5*x^6-40*x^4-80*x^2)/((5*x^4+40*x^2+80)*exp(3*x^2/(x^2+4))^2+(10*x^5+80*x^3+160*x)*exp(3*x^2/(x^2+4))+5*x^6+40*x^4+80*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{2 x \left(\ln \left(2\right)-2\right)}{5 \left({\mathrm e}^{\frac{3 x^{2}}{x^{2}+4}}+x \right)}$&$29$\\ norman&$\frac{\left(-\frac{16}{5}+\frac{8 \ln \left(2\right)}{5}\right) {\mathrm e}^{\frac{3 x^{2}}{x^{2}+4}}+\left(-\frac{4}{5}+\frac{2 \ln \left(2\right)}{5}\right) x^{2} {\mathrm e}^{\frac{3 x^{2}}{x^{2}+4}}-4 x^{2}-x^{4}-4 x \,{\mathrm e}^{\frac{3 x^{2}}{x^{2}+4}}-{\mathrm e}^{\frac{3 x^{2}}{x^{2}+4}} x^{3}}{x^{3}+x^{2} {\mathrm e}^{\frac{3 x^{2}}{x^{2}+4}}+4 x +4 \,{\mathrm e}^{\frac{3 x^{2}}{x^{2}+4}}}$&$131$\\ \hline \end{longtable}"," ",0,"-x-2/5*x*(ln(2)-2)/(exp(3*x^2/(x^2+4))+x)","A"
2368,0,0,22,0.061000," ","int(((-4*x*ln(2)^2+(8*x^3+4)*ln(2)-4*x^5-4*x^2)*ln((x*ln(2)-x^3-1)/(ln(2)-x^2))*ln(ln((x*ln(2)-x^3-1)/(ln(2)-x^2)))+2*x*ln(2)^2-4*x^3*ln(2)+2*x^5-4*x^2)/(x^2*ln(2)^2+(-2*x^4-x)*ln(2)+x^6+x^3)/ln((x*ln(2)-x^3-1)/(ln(2)-x^2))/ln(ln((x*ln(2)-x^3-1)/(ln(2)-x^2))),x)","\[\int \frac{\left(-4 x \ln \left(2\right)^{2}+\left(8 x^{3}+4\right) \ln \left(2\right)-4 x^{5}-4 x^{2}\right) \ln \left(\frac{x \ln \left(2\right)-x^{3}-1}{\ln \left(2\right)-x^{2}}\right) \ln \left(\ln \left(\frac{x \ln \left(2\right)-x^{3}-1}{\ln \left(2\right)-x^{2}}\right)\right)+2 x \ln \left(2\right)^{2}-4 x^{3} \ln \left(2\right)+2 x^{5}-4 x^{2}}{\left(x^{2} \ln \left(2\right)^{2}+\left(-2 x^{4}-x \right) \ln \left(2\right)+x^{6}+x^{3}\right) \ln \left(\frac{x \ln \left(2\right)-x^{3}-1}{\ln \left(2\right)-x^{2}}\right) \ln \left(\ln \left(\frac{x \ln \left(2\right)-x^{3}-1}{\ln \left(2\right)-x^{2}}\right)\right)}\, dx\]"," ",0,"int(((-4*x*ln(2)^2+(8*x^3+4)*ln(2)-4*x^5-4*x^2)*ln((x*ln(2)-x^3-1)/(ln(2)-x^2))*ln(ln((x*ln(2)-x^3-1)/(ln(2)-x^2)))+2*x*ln(2)^2-4*x^3*ln(2)+2*x^5-4*x^2)/(x^2*ln(2)^2+(-2*x^4-x)*ln(2)+x^6+x^3)/ln((x*ln(2)-x^3-1)/(ln(2)-x^2))/ln(ln((x*ln(2)-x^3-1)/(ln(2)-x^2))),x)","F"
2369,1,13,12,0.053000," ","int(-2*ln(2*ln(2))/x/ln(-x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{\ln \left(2 \ln \left(2\right)\right)}{\ln \left(-x \right)^{2}}$&$13$\\ default&$\frac{\ln \left(2 \ln \left(2\right)\right)}{\ln \left(-x \right)^{2}}$&$13$\\ norman&$\frac{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}{\ln \left(-x \right)^{2}}$&$14$\\ risch&$\frac{\ln \left(2\right)}{\ln \left(-x \right)^{2}}+\frac{\ln \left(\ln \left(2\right)\right)}{\ln \left(-x \right)^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"ln(2*ln(2))/ln(-x)^2","A"
2370,1,47,27,0.092000," ","int((((1-x)*exp(-ln(3)+x)^3+(-3*x^2+3*x)*exp(-ln(3)+x)^2+(-3*x^3+3*x^2+200*x)*exp(-ln(3)+x)-x^4+x^3+200*x)*exp(x)*exp(100/(exp(-ln(3)+x)^2+2*x*exp(-ln(3)+x)+x^2))+x^2*exp(-ln(3)+x)^3+3*x^3*exp(-ln(3)+x)^2+3*x^4*exp(-ln(3)+x)+x^5)/(x^2*exp(-ln(3)+x)^3+3*x^3*exp(-ln(3)+x)^2+3*x^4*exp(-ln(3)+x)+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{{\mathrm e}^{\frac{6 \,{\mathrm e}^{x} x^{2}+9 x^{3}+x \,{\mathrm e}^{2 x}+900}{6 \,{\mathrm e}^{x} x +9 x^{2}+{\mathrm e}^{2 x}}}}{x}$&$47$\\ \hline \end{longtable}"," ",0,"x-1/x*exp((6*exp(x)*x^2+9*x^3+x*exp(2*x)+900)/(6*exp(x)*x+9*x^2+exp(2*x)))","A"
2371,1,34,32,0.403000," ","int(((-8*x^3+12*x^2-6*x+1)*exp(4)-96*x^7-144*x^6-504*x^5+276*x^4+612*x^3+684*x^2-60*x)/(8*x^5-12*x^4+6*x^3-x^2)/exp(4)/exp((12*x^6+36*x^5+171*x^4+204*x^3+414*x^2-72*x+3)/(4*x^2-4*x+1)/exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{3 \left(2 x^{3}+3 x^{2}+12 x -1\right)^{2} {\mathrm e}^{-4}}{\left(2 x -1\right)^{2}}}}{x}$&$34$\\ gosper&$\frac{{\mathrm e}^{-\frac{3 \left(4 x^{6}+12 x^{5}+57 x^{4}+68 x^{3}+138 x^{2}-24 x +1\right) {\mathrm e}^{-4}}{4 x^{2}-4 x +1}}}{x}$&$56$\\ norman&$\frac{\left(4 x^{2}-4 x +1\right) {\mathrm e}^{-\frac{\left(12 x^{6}+36 x^{5}+171 x^{4}+204 x^{3}+414 x^{2}-72 x +3\right) {\mathrm e}^{-4}}{4 x^{2}-4 x +1}}}{x \left(2 x -1\right)^{2}}$&$72$\\ \hline \end{longtable}"," ",0,"1/x*exp(-3*(2*x^3+3*x^2+12*x-1)^2*exp(-4)/(2*x-1)^2)","A"
2372,1,70,25,0.182000," ","int((((4*x+2)*exp(x)^2+(8*x+8)*exp(x)+8)*exp(x^2-5)^3+(((-12*x-6)*exp(4)+12*x+6)*exp(x)^2+((-24*x-24)*exp(4)+8*x^3-4*x^2+16*x+24)*exp(x)-24*exp(4)+16*x^3-16*x+24)*exp(x^2-5)^2+(((12*x+6)*exp(4)^2+(-24*x-12)*exp(4)+12*x+6)*exp(x)^2+((24*x+24)*exp(4)^2+(-8*x^3+8*x^2-32*x-48)*exp(4)+8*x^3-8*x^2+8*x+24)*exp(x)+24*exp(4)^2+(-16*x^3+32*x-48)*exp(4)-8*x^4+16*x^3+6*x^2-32*x+24)*exp(x^2-5)+((-4*x-2)*exp(4)^3+(12*x+6)*exp(4)^2+(-12*x-6)*exp(4)+4*x+2)*exp(x)^2+((-8*x-8)*exp(4)^3+(-4*x^2+16*x+24)*exp(4)^2+(8*x^2-8*x-24)*exp(4)-4*x^2+8)*exp(x)-8*exp(4)^3+(-16*x+24)*exp(4)^2+(-6*x^2+32*x-24)*exp(4)+6*x^2-16*x+8)/(exp(x^2-5)^3+(-3*exp(4)+3)*exp(x^2-5)^2+(3*exp(4)^2-6*exp(4)+3)*exp(x^2-5)-exp(4)^3+3*exp(4)^2-3*exp(4)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \,{\mathrm e}^{2 x}+8 \,{\mathrm e}^{x} x +8 x +\frac{2 \left(2 \,{\mathrm e}^{4+x}-2 \,{\mathrm e}^{x^{2}+x -5}+4 \,{\mathrm e}^{4}+x -2 \,{\mathrm e}^{x}-4 \,{\mathrm e}^{x^{2}-5}-4\right) x^{2}}{\left({\mathrm e}^{4}-1-{\mathrm e}^{x^{2}-5}\right)^{2}}$&$70$\\ \hline \end{longtable}"," ",0,"2*x*exp(2*x)+8*exp(x)*x+8*x+2*(2*exp(4+x)-2*exp(x^2+x-5)+4*exp(4)+x-2*exp(x)-4*exp(x^2-5)-4)*x^2/(exp(4)-1-exp(x^2-5))^2","B"
2373,1,3,2,0.020000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
2374,1,29,22,0.310000," ","int(((-16*x-32)*ln(2)-4*x^3-12*x^2+32*x+64)/((x^3+2*x^2)*ln(6+3*x)^2+((-8*x^2-16*x)*ln(2)+2*x^4+10*x^3+28*x^2+32*x)*ln(6+3*x)+(16*x+32)*ln(2)^2+(-8*x^3-40*x^2-112*x-128)*ln(2)+x^5+8*x^4+37*x^3+98*x^2+160*x+128),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4 x}{-\ln \left(6+3 x \right) x -x^{2}+4 \ln \left(2\right)-3 x -8}$&$29$\\ risch&$-\frac{4 x}{-\ln \left(6+3 x \right) x -x^{2}+4 \ln \left(2\right)-3 x -8}$&$29$\\ \hline \end{longtable}"," ",0,"-4*x/(-ln(6+3*x)*x-x^2+4*ln(2)-3*x-8)","A"
2375,1,17,11,0.046000," ","int(1/9*((2*x^2+6*x)*ln(2*x)+x^2+6*x+9)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2}+6 x \right) \ln \left(2 x \right)}{9}+\ln \left(x \right)$&$17$\\ derivativedivides&$\frac{x^{2} \ln \left(2 x \right)}{9}+\frac{2 x \ln \left(2 x \right)}{3}+\ln \left(2 x \right)$&$22$\\ default&$\frac{x^{2} \ln \left(2 x \right)}{9}+\frac{2 x \ln \left(2 x \right)}{3}+\ln \left(2 x \right)$&$22$\\ norman&$\frac{x^{2} \ln \left(2 x \right)}{9}+\frac{2 x \ln \left(2 x \right)}{3}+\ln \left(2 x \right)$&$22$\\ \hline \end{longtable}"," ",0,"1/9*(x^2+6*x)*ln(2*x)+ln(x)","A"
2376,1,20,23,0.070000," ","int(((exp(-ln(2)+2+x)-1)*exp(x)+x^5-5*x^4)/exp(-ln(2)+2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x \,{\mathrm e}^{-2}+{\mathrm e}^{x}-2 x^{5} {\mathrm e}^{-x -2}$&$20$\\ norman&$\left({\mathrm e}^{2 x}-2 \,{\mathrm e}^{-2} x^{5}-2 x \,{\mathrm e}^{-2} {\mathrm e}^{x}\right) {\mathrm e}^{-x}$&$29$\\ default&$-2 x \,{\mathrm e}^{-2}-10 \,{\mathrm e}^{-2} \left(-x^{4} {\mathrm e}^{-x}-4 x^{3} {\mathrm e}^{-x}-12 x^{2} {\mathrm e}^{-x}-24 x \,{\mathrm e}^{-x}-24 \,{\mathrm e}^{-x}\right)+2 \,{\mathrm e}^{-2} \left(-{\mathrm e}^{-x} x^{5}-5 x^{4} {\mathrm e}^{-x}-20 x^{3} {\mathrm e}^{-x}-60 x^{2} {\mathrm e}^{-x}-120 x \,{\mathrm e}^{-x}-120 \,{\mathrm e}^{-x}\right)+{\mathrm e}^{x}$&$114$\\ \hline \end{longtable}"," ",0,"-2*x*exp(-2)+exp(x)-2*x^5*exp(-x-2)","A"
2377,1,24,26,0.530000," ","int(((60*x^4+36000*x^3+5400000*x^2)*exp(3)+8*x^3+4804*x^2+722400*x+337500)/(x^2+600*x+90000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x +20 x^{3} {\mathrm e}^{3}+4 x^{2}+\frac{22500}{x +300}$&$24$\\ risch&$4 x +20 x^{3} {\mathrm e}^{3}+4 x^{2}+\frac{22500}{x +300}$&$24$\\ norman&$\frac{\left(4+6000 \,{\mathrm e}^{3}\right) x^{3}+1204 x^{2}+20 x^{4} {\mathrm e}^{3}-337500}{x +300}$&$31$\\ gosper&$\frac{20 x^{4} {\mathrm e}^{3}+6000 x^{3} {\mathrm e}^{3}+4 x^{3}+1204 x^{2}-337500}{x +300}$&$32$\\ meijerg&$-\frac{9617 x}{4 \left(1+\frac{x}{300}\right)}+1620000000 \,{\mathrm e}^{3} \left(\frac{x \left(\frac{1}{5400000} x^{3}-\frac{1}{9000} x^{2}+\frac{1}{10} x +60\right)}{4500+15 x}-4 \ln \left(1+\frac{x}{300}\right)\right)+300 \left(10800000 \,{\mathrm e}^{3}+2400\right) \left(-\frac{x \left(-\frac{1}{45000} x^{2}+\frac{1}{50} x +12\right)}{1200 \left(1+\frac{x}{300}\right)}+3 \ln \left(1+\frac{x}{300}\right)\right)+300 \left(5400000 \,{\mathrm e}^{3}+4804\right) \left(\frac{x \left(\frac{x}{100}+6\right)}{900+3 x}-2 \ln \left(1+\frac{x}{300}\right)\right)+722400 \ln \left(1+\frac{x}{300}\right)$&$127$\\ \hline \end{longtable}"," ",0,"4*x+20*x^3*exp(3)+4*x^2+22500/(x+300)","A"
2378,1,20,19,0.047000," ","int(((exp(x)*x^4-4*x^3)*ln(x)+(x-5)*exp(x)-x^3-1)/((x^4*ln(x)+x-5)*ln(x^4*ln(x)+x-5)^2+(-2*x^4*exp(x)*ln(x)+(-2*x+10)*exp(x))*ln(x^4*ln(x)+x-5)+x^4*exp(x)^2*ln(x)+(x-5)*exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{{\mathrm e}^{x}-\ln \left(x^{4} \ln \left(x \right)+x -5\right)}$&$20$\\ \hline \end{longtable}"," ",0,"-1/(exp(x)-ln(x^4*ln(x)+x-5))","A"
2379,1,21,18,0.542000," ","int((2*x^3-83*x^2+748*x+2419)*exp((x^3-17*x^2-110*x+1)/(x-22))/(x^2-44*x+484),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{x^{3}-17 x^{2}-110 x +1}{x -22}}$&$21$\\ risch&${\mathrm e}^{\frac{x^{3}-17 x^{2}-110 x +1}{x -22}}$&$21$\\ norman&$\frac{x \,{\mathrm e}^{\frac{x^{3}-17 x^{2}-110 x +1}{x -22}}-22 \,{\mathrm e}^{\frac{x^{3}-17 x^{2}-110 x +1}{x -22}}}{x -22}$&$52$\\ \hline \end{longtable}"," ",0,"exp((x^3-17*x^2-110*x+1)/(x-22))","A"
2380,1,31,24,0.321000," ","int((-x^4*ln(64/25/x)-3*x^2*exp(2)^2+2*x^4)/(x^4*ln(64/25/x)^2+(2*x^2*exp(2)^2-2*x^5-6*x^4)*ln(64/25/x)+exp(2)^4+(-2*x^3-6*x^2)*exp(2)^2+x^6+6*x^5+9*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{3}}{x^{2} \ln \left(\frac{64}{25 x}\right)-x^{3}+{\mathrm e}^{4}-3 x^{2}}$&$31$\\ norman&$\frac{3 x^{2}-x^{2} \ln \left(\frac{64}{25 x}\right)-{\mathrm e}^{4}}{x^{2} \ln \left(\frac{64}{25 x}\right)-x^{3}+{\mathrm e}^{4}-3 x^{2}}$&$52$\\ \hline \end{longtable}"," ",0,"-x^3/(x^2*ln(64/25/x)-x^3+exp(4)-3*x^2)","A"
2381,1,19,18,0.029000," ","int(9765625*(5*x*ln(x^2)-35*x+30)*x^15/(x^2*ln(x^2)^2+(-6*x^2+4*x)*ln(x^2)+9*x^2-12*x+4)^5/(x^2*ln(x^2)-3*x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9765625 x^{15}}{\left(x \ln \left(x^{2}\right)-3 x +2\right)^{10}}$&$19$\\ \hline \end{longtable}"," ",0,"9765625*x^15/(x*ln(x^2)-3*x+2)^10","A"
2382,1,35,22,0.078000," ","int(((-32*x-128)*ln(4+x)^2+(-320*x-1536)*ln(4+x)+18*x^3+120*x^2-768*x-4608)/((16*x^2+64*x)*ln(4+x)^2+(24*x^3+288*x^2+768*x)*ln(4+x)+9*x^4+181*x^3+1156*x^2+2304*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(x \right)+2 \ln \left(\ln \left(4+x \right)^{2}+\left(\frac{3 x}{2}+12\right) \ln \left(4+x \right)+\frac{9 x^{2}}{16}+\frac{145 x}{16}+36\right)$&$35$\\ norman&$-2 \ln \left(x \right)+2 \ln \left(16 \ln \left(4+x \right)^{2}+24 \ln \left(4+x \right) x +9 x^{2}+192 \ln \left(4+x \right)+145 x +576\right)$&$40$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+2*ln(ln(4+x)^2+(3/2*x+12)*ln(4+x)+9/16*x^2+145/16*x+36)","A"
2383,1,176,25,0.852000," ","int(((2*x*exp(x)*ln(16*x^2)*exp(exp(x))^2+((-2*x*exp(4)^2-4*x^2*exp(4)-2*x^3-2*x^2)*exp(x)-4*x*exp(4)-4*x^2-2*x)*ln(16*x^2)*exp(exp(x))+(4*x*exp(4)^3+(12*x^2+2*x)*exp(4)^2+(12*x^3+8*x^2)*exp(4)+4*x^4+6*x^3+2*x^2)*ln(16*x^2))*ln(1/4*ln(16*x^2))+2*exp(exp(x))^2+(-4*exp(4)^2-8*x*exp(4)-4*x^2-4*x)*exp(exp(x))+2*exp(4)^4+8*x*exp(4)^3+(12*x^2+4*x)*exp(4)^2+(8*x^3+8*x^2)*exp(4)+2*x^4+4*x^3+2*x^2)/x/ln(16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(4 x \,{\mathrm e}^{12}+6 x^{2} {\mathrm e}^{8}+4 x^{3} {\mathrm e}^{4}+x^{4}+2 x \,{\mathrm e}^{8}-2 \,{\mathrm e}^{{\mathrm e}^{x}+8}+4 x^{2} {\mathrm e}^{4}-4 x \,{\mathrm e}^{{\mathrm e}^{x}+4}+2 x^{3}-2 \,{\mathrm e}^{{\mathrm e}^{x}} x^{2}+x^{2}-2 x \,{\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{2 \,{\mathrm e}^{x}}\right) \ln \left(\ln \left(2\right)+\frac{\ln \left(x \right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{8}\right)+{\mathrm e}^{16} \ln \left(\ln \left(x \right)-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+8 i \ln \left(2\right)\right)}{4}\right)$&$176$\\ \hline \end{longtable}"," ",0,"(4*x*exp(12)+6*x^2*exp(8)+4*x^3*exp(4)+x^4+2*x*exp(8)-2*exp(exp(x)+8)+4*x^2*exp(4)-4*x*exp(exp(x)+4)+2*x^3-2*exp(exp(x))*x^2+x^2-2*x*exp(exp(x))+exp(2*exp(x)))*ln(ln(2)+1/2*ln(x)-1/8*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+exp(16)*ln(ln(x)-1/4*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+8*I*ln(2)))","C"
2384,1,39,27,0.513000," ","int(((15-5*x)*ln(ln(3))^2+((-160*x^2+480*x)*ln(x)-160*x^2+640*x-480)*ln(ln(3))+((-1280*x^2+3840*x)*ln(x-3)+1280*x^2-7680*x)*ln(x)+(-1280*x^2+3840*x)*ln(x-3)+2560*x^2-8960*x+3840)/(256*x^2-768*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-5+\frac{5 \ln \left(\ln \left(3\right)\right)}{8}-\frac{5 \ln \left(\ln \left(3\right)\right)^{2}}{256}\right) \ln \left(x \right)+\left(10-\frac{5 \ln \left(\ln \left(3\right)\right)}{8}\right) x \ln \left(x \right)-5 \ln \left(x \right) \ln \left(x -3\right) x$&$39$\\ risch&$-5 \ln \left(x \right) \ln \left(x -3\right) x -\frac{5 \ln \left(x \right) \ln \left(\ln \left(3\right)\right) x}{8}+10 x \ln \left(x \right)-\frac{5 \ln \left(x \right) \ln \left(\ln \left(3\right)\right)^{2}}{256}+\frac{5 \ln \left(\ln \left(3\right)\right) \ln \left(x \right)}{8}-5 \ln \left(x \right)$&$44$\\ default&$-15 \ln \left(x -3\right)+\frac{\left(2560-160 \ln \left(\ln \left(3\right)\right)\right) x \ln \left(x \right)}{256}+5 \ln \left(x -3\right) x -5 \ln \left(x \right) \ln \left(x -3\right) x -\frac{5 \ln \left(x \right) \ln \left(\ln \left(3\right)\right)^{2}}{256}-5 \ln \left(x \right)+\frac{5 \ln \left(\ln \left(3\right)\right) \ln \left(x \right)}{8}-5 \left(x -3\right) \ln \left(x -3\right)-15$&$66$\\ \hline \end{longtable}"," ",0,"(-5+5/8*ln(ln(3))-5/256*ln(ln(3))^2)*ln(x)+(10-5/8*ln(ln(3)))*x*ln(x)-5*ln(x)*ln(x-3)*x","A"
2385,1,36,23,0.026000," ","int((2*x^2*ln(x)^2+(2*x^2-x)*ln(x)-x^2+x-1)*exp(1/2*((2*exp(1)+2*x^2-5)*ln(x)+2*x^2-2*x+2)/ln(x))*exp(exp(1/2*((2*exp(1)+2*x^2-5)*ln(x)+2*x^2-2*x+2)/ln(x)))/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{2 x^{2} \ln \left(x \right)+2 \,{\mathrm e} \ln \left(x \right)+2 x^{2}-5 \ln \left(x \right)-2 x +2}{2 \ln \left(x \right)}}}$&$36$\\ \hline \end{longtable}"," ",0,"exp(exp(1/2*(2*x^2*ln(x)+2*exp(1)*ln(x)+2*x^2-5*ln(x)-2*x+2)/ln(x)))","A"
2386,1,104,25,0.125000," ","int(((4*x+2)*ln(x)+2)/(x*ln(x)*ln(x*ln(x))^2+(-32*x*ln(2)^4-48*x*ln(2)^2+4*x^2-18*x)*ln(x)*ln(x*ln(x))+(256*x*ln(2)^8+768*x*ln(2)^6+16*(-4*x^2+54*x)*ln(2)^4+4*(-24*x^2+108*x)*ln(2)^2+4*x^3-36*x^2+81*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 i}{\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}-32 i \ln \left(2\right)^{4}-48 i \ln \left(2\right)^{2}+4 i x +2 i \ln \left(x \right)+2 i \ln \left(\ln \left(x \right)\right)-18 i}$&$104$\\ \hline \end{longtable}"," ",0,"-4*I/(Pi*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))-Pi*csgn(I*x)*csgn(I*x*ln(x))^2-Pi*csgn(I*ln(x))*csgn(I*x*ln(x))^2+Pi*csgn(I*x*ln(x))^3-32*I*ln(2)^4-48*I*ln(2)^2+4*I*x+2*I*ln(x)+2*I*ln(ln(x))-18*I)","C"
2387,1,26,23,0.071000," ","int((((-12*x^2*ln(2*x)+6*x^2)*exp(6*x^2/ln(2*x))+(2*x+1)*ln(2*x)^2)*exp(-exp(6*x^2/ln(2*x))+2*x)-4*ln(2*x)^2)/ln(2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-{\mathrm e}^{\frac{6 x^{2}}{\ln \left(2 x \right)}}+2 x}-4 x$&$26$\\ \hline \end{longtable}"," ",0,"x*exp(-exp(6*x^2/ln(2*x))+2*x)-4*x","A"
2388,0,0,24,0.078000," ","int(((-36*x*exp(5)+36*x^2+324*x)*ln(x)*ln(ln(x))^4+(324*exp(5)-324*x)*ln(ln(x))^3+(x*exp(5)^5-5*x^2*exp(5)^4+10*x^3*exp(5)^3-10*x^4*exp(5)^2+5*x^5*exp(5)-x^6)*exp(1/9*x)^4*ln(x))/(x*exp(5)^5-5*x^2*exp(5)^4+10*x^3*exp(5)^3-10*x^4*exp(5)^2+5*x^5*exp(5)-x^6)/exp(1/9*x)^4/ln(x),x)","\[\int \frac{\left(\left(-36 x \,{\mathrm e}^{5}+36 x^{2}+324 x \right) \ln \left(x \right) \ln \left(\ln \left(x \right)\right)^{4}+\left(324 \,{\mathrm e}^{5}-324 x \right) \ln \left(\ln \left(x \right)\right)^{3}+\left(x \,{\mathrm e}^{25}-5 x^{2} {\mathrm e}^{20}+10 \,{\mathrm e}^{15} x^{3}-10 x^{4} {\mathrm e}^{10}+5 x^{5} {\mathrm e}^{5}-x^{6}\right) {\mathrm e}^{\frac{4 x}{9}} \ln \left(x \right)\right) {\mathrm e}^{-\frac{4 x}{9}}}{\left(x \,{\mathrm e}^{25}-5 x^{2} {\mathrm e}^{20}+10 \,{\mathrm e}^{15} x^{3}-10 x^{4} {\mathrm e}^{10}+5 x^{5} {\mathrm e}^{5}-x^{6}\right) \ln \left(x \right)}\, dx\]"," ",0,"int(((-36*x*exp(5)+36*x^2+324*x)*ln(x)*ln(ln(x))^4+(324*exp(5)-324*x)*ln(ln(x))^3+(x*exp(5)^5-5*x^2*exp(5)^4+10*x^3*exp(5)^3-10*x^4*exp(5)^2+5*x^5*exp(5)-x^6)*exp(1/9*x)^4*ln(x))/(x*exp(5)^5-5*x^2*exp(5)^4+10*x^3*exp(5)^3-10*x^4*exp(5)^2+5*x^5*exp(5)-x^6)/exp(1/9*x)^4/ln(x),x)","F"
2389,1,33,20,0.071000," ","int((-40*x^4-40*x^3+360*x^2)*exp(x-4)-320*x^3+840*x^2-240*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-40 x^{4}+120 x^{3}\right) {\mathrm e}^{x -4}-80 x^{4}+280 x^{3}-120 x^{2}$&$33$\\ norman&$-120 x^{2}+280 x^{3}-80 x^{4}-40 x^{4} {\mathrm e}^{x -4}+120 \,{\mathrm e}^{x -4} x^{3}$&$35$\\ default&$-4480 \,{\mathrm e}^{x -4} \left(x -4\right)-2560 \,{\mathrm e}^{x -4}-2400 \,{\mathrm e}^{x -4} \left(x -4\right)^{2}-520 \,{\mathrm e}^{x -4} \left(x -4\right)^{3}-40 \,{\mathrm e}^{x -4} \left(x -4\right)^{4}-120 x^{2}+280 x^{3}-80 x^{4}$&$65$\\ derivativedivides&$-960 x +3840-4480 \,{\mathrm e}^{x -4} \left(x -4\right)-2560 \,{\mathrm e}^{x -4}-2400 \,{\mathrm e}^{x -4} \left(x -4\right)^{2}-520 \,{\mathrm e}^{x -4} \left(x -4\right)^{3}-40 \,{\mathrm e}^{x -4} \left(x -4\right)^{4}-120 \left(x -4\right)^{2}+280 x^{3}-80 x^{4}$&$71$\\ \hline \end{longtable}"," ",0,"(-40*x^4+120*x^3)*exp(x-4)-80*x^4+280*x^3-120*x^2","A"
2390,1,34,30,0.138000," ","int(((-16*x^4+40*x^3-33*x^2+10*x-1)*ln(ln(2))+64*x^3-120*x^2+66*x-10)*exp((3-x)*ln(ln(2)))/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(16 x^{4}-40 x^{3}+33 x^{2}-10 x +1\right) \ln \left(2\right)^{3-x}}{\ln \left(2\right)^{2}}$&$34$\\ gosper&$\frac{{\mathrm e}^{-\left(x -3\right) \ln \left(\ln \left(2\right)\right)} \left(4 x -1\right) \left(4 x^{3}-9 x^{2}+6 x -1\right)}{\ln \left(2\right)^{2}}$&$35$\\ norman&$\frac{\frac{{\mathrm e}^{\left(3-x \right) \ln \left(\ln \left(2\right)\right)}}{\ln \left(2\right)}-\frac{10 x \,{\mathrm e}^{\left(3-x \right) \ln \left(\ln \left(2\right)\right)}}{\ln \left(2\right)}+\frac{33 x^{2} {\mathrm e}^{\left(3-x \right) \ln \left(\ln \left(2\right)\right)}}{\ln \left(2\right)}-\frac{40 x^{3} {\mathrm e}^{\left(3-x \right) \ln \left(\ln \left(2\right)\right)}}{\ln \left(2\right)}+\frac{16 x^{4} {\mathrm e}^{\left(3-x \right) \ln \left(\ln \left(2\right)\right)}}{\ln \left(2\right)}}{\ln \left(2\right)}$&$96$\\ derivativedivides&$-\frac{836 \,{\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)} \left(-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)\right)-484 \,{\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)} \ln \left(\ln \left(2\right)\right)-\frac{16 \,{\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)} \left(-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)\right)^{4}}{\ln \left(\ln \left(2\right)\right)^{3}}+\frac{152 \,{\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)} \left(-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)\right)^{3}}{\ln \left(\ln \left(2\right)\right)^{2}}-\frac{537 \,{\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)} \left(-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)\right)^{2}}{\ln \left(\ln \left(2\right)\right)}}{\ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)}$&$160$\\ default&$-\frac{836 \,{\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)} \left(-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)\right)-484 \,{\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)} \ln \left(\ln \left(2\right)\right)-\frac{16 \,{\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)} \left(-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)\right)^{4}}{\ln \left(\ln \left(2\right)\right)^{3}}+\frac{152 \,{\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)} \left(-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)\right)^{3}}{\ln \left(\ln \left(2\right)\right)^{2}}-\frac{537 \,{\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)} \left(-x \ln \left(\ln \left(2\right)\right)+3 \ln \left(\ln \left(2\right)\right)\right)^{2}}{\ln \left(\ln \left(2\right)\right)}}{\ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)}$&$160$\\ meijerg&$-\frac{16 \ln \left(2\right) \left(24-\frac{\left(5 x^{4} \ln \left(\ln \left(2\right)\right)^{4}+20 x^{3} \ln \left(\ln \left(2\right)\right)^{3}+60 x^{2} \ln \left(\ln \left(2\right)\right)^{2}+120 x \ln \left(\ln \left(2\right)\right)+120\right) {\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)}}{5}\right)}{\ln \left(\ln \left(2\right)\right)^{4}}+\frac{\left(40 \ln \left(\ln \left(2\right)\right)+64\right) \ln \left(2\right) \left(6-\frac{\left(4 x^{3} \ln \left(\ln \left(2\right)\right)^{3}+12 x^{2} \ln \left(\ln \left(2\right)\right)^{2}+24 x \ln \left(\ln \left(2\right)\right)+24\right) {\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)}}{4}\right)}{\ln \left(\ln \left(2\right)\right)^{4}}+\frac{\left(-33 \ln \left(\ln \left(2\right)\right)-120\right) \ln \left(2\right) \left(2-\frac{\left(3 x^{2} \ln \left(\ln \left(2\right)\right)^{2}+6 x \ln \left(\ln \left(2\right)\right)+6\right) {\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)}}{3}\right)}{\ln \left(\ln \left(2\right)\right)^{3}}+\frac{\left(10 \ln \left(\ln \left(2\right)\right)+66\right) \ln \left(2\right) \left(1-\frac{\left(2+2 x \ln \left(\ln \left(2\right)\right)\right) {\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)}}{2}\right)}{\ln \left(\ln \left(2\right)\right)^{2}}-\ln \left(2\right) \left(1-{\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)}\right)-\frac{10 \ln \left(2\right) \left(1-{\mathrm e}^{-x \ln \left(\ln \left(2\right)\right)}\right)}{\ln \left(\ln \left(2\right)\right)}$&$227$\\ \hline \end{longtable}"," ",0,"1/ln(2)^2*(16*x^4-40*x^3+33*x^2-10*x+1)*ln(2)^(3-x)","A"
2391,1,27,22,0.102000," ","int((6*x*exp(x)*ln(x)+(-6*x*ln(3)-6*x^2+24*x+6)*exp(x))/(2*x*exp(x)*ln(x)+(-2*x*ln(3)-2*x^2+10*x)*exp(x)-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$3 \ln \left(2 \ln \left(3\right) {\mathrm e}^{x}+2 \,{\mathrm e}^{x} x -2 \,{\mathrm e}^{x} \ln \left(x \right)-10 \,{\mathrm e}^{x}+5\right)$&$27$\\ risch&$3 x +3 \ln \left(\ln \left(x \right)-\frac{\left(2 \ln \left(3\right) {\mathrm e}^{x}+2 \,{\mathrm e}^{x} x -10 \,{\mathrm e}^{x}+5\right) {\mathrm e}^{-x}}{2}\right)$&$34$\\ \hline \end{longtable}"," ",0,"3*ln(2*ln(3)*exp(x)+2*exp(x)*x-2*exp(x)*ln(x)-10*exp(x)+5)","A"
2392,1,29,24,0.044000," ","int(((15*x^4-150*x^3+435*x^2-300*x+60)*ln(x)+30*x^5-285*x^4+720*x^3-240*x^2+570*x-1665)/(x^4-10*x^3+29*x^2-20*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$15 x^{2}-\frac{75 \left(5-x \right)}{x^{2}-5 x +2}+15 x \ln \left(x \right)$&$29$\\ risch&$15 x \ln \left(x \right)+\frac{15 x^{4}-75 x^{3}+30 x^{2}+75 x -375}{x^{2}-5 x +2}$&$37$\\ norman&$\frac{225 x -75 x^{3}+15 x^{4}+30 x \ln \left(x \right)-75 x^{2} \ln \left(x \right)+15 x^{3} \ln \left(x \right)-435}{x^{2}-5 x +2}$&$46$\\ \hline \end{longtable}"," ",0,"15*x^2-75*(5-x)/(x^2-5*x+2)+15*x*ln(x)","A"
2393,1,18,15,0.040000," ","int(1/4*(170*x-4)*exp(3)+255/2*x-267/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(85 x \,{\mathrm e}^{3}-4 \,{\mathrm e}^{3}+255 x -267\right)}{4}$&$18$\\ norman&$\left(-{\mathrm e}^{3}-\frac{267}{4}\right) x +\left(\frac{85 \,{\mathrm e}^{3}}{4}+\frac{255}{4}\right) x^{2}$&$20$\\ risch&$\frac{85 x^{2} {\mathrm e}^{3}}{4}-x \,{\mathrm e}^{3}+\frac{255 x^{2}}{4}-\frac{267 x}{4}$&$22$\\ default&$\frac{{\mathrm e}^{3} \left(85 x^{2}-4 x \right)}{4}+\frac{255 x^{2}}{4}-\frac{267 x}{4}$&$23$\\ \hline \end{longtable}"," ",0,"1/4*x*(85*x*exp(3)-4*exp(3)+255*x-267)","A"
2394,1,17,17,0.433000," ","int((-2*x^3-781250*x^2+4*x+1953125)/(x^2+390625*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+5 \ln \left(x \right)-\ln \left(x +390625\right)$&$17$\\ norman&$-x^{2}+5 \ln \left(x \right)-\ln \left(x +390625\right)$&$17$\\ risch&$-x^{2}+5 \ln \left(x \right)-\ln \left(x +390625\right)$&$17$\\ meijerg&$-\ln \left(1+\frac{x}{390625}\right)+5 \ln \left(x \right)-40 \ln \left(5\right)+\frac{390625 x \left(-\frac{3 x}{390625}+6\right)}{3}-781250 x$&$29$\\ \hline \end{longtable}"," ",0,"-x^2+5*ln(x)-ln(x+390625)","A"
2395,1,315,20,0.481000," ","int(((exp(exp(x))+x^2+5*x-2)*ln(5/(2*x^3*exp(exp(x))+2*x^5+10*x^4-4*x^3))+(-exp(x)*x-3)*exp(exp(x))-5*x^2-20*x+6)/(exp(exp(x))+x^2+5*x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left({\mathrm e}^{{\mathrm e}^{x}}+x^{2}+5 x -2\right)-3 x \ln \left(x \right)-i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{3}}\right) \mathrm{csgn}\left(\frac{i}{x^{3} \left({\mathrm e}^{{\mathrm e}^{x}}+x^{2}+5 x -2\right)}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{{\mathrm e}^{x}}+x^{2}+5 x -2}\right) \mathrm{csgn}\left(\frac{i}{x^{3} \left({\mathrm e}^{{\mathrm e}^{x}}+x^{2}+5 x -2\right)}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)}{2}+\frac{i \pi  x \mathrm{csgn}\left(i x^{3}\right)^{3}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i}{x^{3} \left({\mathrm e}^{{\mathrm e}^{x}}+x^{2}+5 x -2\right)}\right)^{3}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{3}}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{{\mathrm e}^{x}}+x^{2}+5 x -2}\right) \mathrm{csgn}\left(\frac{i}{x^{3} \left({\mathrm e}^{{\mathrm e}^{x}}+x^{2}+5 x -2\right)}\right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}}{2}+x \ln \left(5\right)-x \ln \left(2\right)$&$315$\\ \hline \end{longtable}"," ",0,"-x*ln(exp(exp(x))+x^2+5*x-2)-3*x*ln(x)-I*Pi*x*csgn(I*x)*csgn(I*x^2)^2-1/2*I*Pi*x*csgn(I*x)*csgn(I*x^3)^2+1/2*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)+1/2*I*Pi*x*csgn(I/x^3)*csgn(I/x^3/(exp(exp(x))+x^2+5*x-2))^2+1/2*I*Pi*x*csgn(I/(exp(exp(x))+x^2+5*x-2))*csgn(I/x^3/(exp(exp(x))+x^2+5*x-2))^2+1/2*I*Pi*x*csgn(I*x^2)^3+1/2*I*Pi*x*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+1/2*I*Pi*x*csgn(I*x^3)^3-1/2*I*Pi*x*csgn(I/x^3/(exp(exp(x))+x^2+5*x-2))^3-1/2*I*Pi*x*csgn(I/x^3)*csgn(I/(exp(exp(x))+x^2+5*x-2))*csgn(I/x^3/(exp(exp(x))+x^2+5*x-2))-1/2*I*Pi*x*csgn(I*x^2)*csgn(I*x^3)^2+x*ln(5)-x*ln(2)","C"
2396,1,16,25,0.047000," ","int((exp(x)^2+(-4*x+5)*exp(x)+4*x^2-4*x-5)/(exp(x)^2+(-4*x+2)*exp(x)+4*x^2-4*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{3}{-{\mathrm e}^{x}+2 x -1}$&$16$\\ norman&$\frac{-x +2 x^{2}-{\mathrm e}^{x} x +3}{-{\mathrm e}^{x}+2 x -1}$&$28$\\ \hline \end{longtable}"," ",0,"x+3/(-exp(x)+2*x-1)","A"
2397,1,25,23,0.452000," ","int(((-3*x-9)*exp(2)*ln(3+x)*exp(ln(-x/(x-3))+1)+(x^3-9*x)*exp(2)*ln(3+x)+(x^2-3*x)*exp(2))/(x^3-9*x)/ln(3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{2} \ln \left(\ln \left(3+x \right)\right)-\frac{3 \,{\mathrm e}^{2} {\mathrm e}}{x -3}+{\mathrm e}^{2} x$&$25$\\ norman&$\frac{x^{2} {\mathrm e}^{2}-9 \,{\mathrm e}^{2}-3 \,{\mathrm e} \,{\mathrm e}^{2}}{x -3}+{\mathrm e}^{2} \ln \left(\ln \left(3+x \right)\right)$&$33$\\ \hline \end{longtable}"," ",0,"exp(2)*ln(ln(3+x))-3*exp(2)*exp(1)/(x-3)+exp(2)*x","A"
2398,1,140,26,0.342000," ","int((((-2*ln(x)-2)*exp(exp(ln(2*x)+x)^2)+2*x*ln(x)+2*x)*ln(exp(exp(ln(2*x)+x)^2)^2-2*x*exp(exp(ln(2*x)+x)^2)+x^2)+(8*x+8)*ln(x)*exp(ln(2*x)+x)^2*exp(exp(ln(2*x)+x)^2)-4*x*ln(x))/(x^2*ln(x)^2*exp(exp(ln(2*x)+x)^2)-x^3*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \ln \left(-{\mathrm e}^{4 \,{\mathrm e}^{2 x} x^{2}}+x \right)}{x \ln \left(x \right)}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{4 \,{\mathrm e}^{2 x} x^{2}}+x \right)^{2}\right) \left(\mathrm{csgn}\left(i \left(-{\mathrm e}^{4 \,{\mathrm e}^{2 x} x^{2}}+x \right)\right)^{2}-2 \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{4 \,{\mathrm e}^{2 x} x^{2}}+x \right)^{2}\right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{4 \,{\mathrm e}^{2 x} x^{2}}+x \right)\right)+\mathrm{csgn}\left(i \left(-{\mathrm e}^{4 \,{\mathrm e}^{2 x} x^{2}}+x \right)^{2}\right)^{2}\right)}{x \ln \left(x \right)}$&$140$\\ \hline \end{longtable}"," ",0,"4/x/ln(x)*ln(-exp(4*exp(2*x)*x^2)+x)-I/x*Pi*csgn(I*(-exp(4*exp(2*x)*x^2)+x)^2)*(csgn(I*(-exp(4*exp(2*x)*x^2)+x))^2-2*csgn(I*(-exp(4*exp(2*x)*x^2)+x)^2)*csgn(I*(-exp(4*exp(2*x)*x^2)+x))+csgn(I*(-exp(4*exp(2*x)*x^2)+x)^2)^2)/ln(x)","C"
2399,1,139,21,0.719000," ","int(((4*x^8-64*x^7+448*x^6-1792*x^5+4480*x^4-7168*x^3+7168*x^2-4096*x+1024)*ln(2*x)+(4*x^8-64*x^7+448*x^6-1792*x^5+4480*x^4-7168*x^3+7168*x^2-4096*x+1024)*ln(x)+10000*x^4-60000*x^3+120000*x^2-80000*x)/((x^9-16*x^8+112*x^7-448*x^6+1120*x^5-1792*x^4+1792*x^3-1024*x^2+256*x)*ln(x)^2*ln(2*x)^2+(-22*x^9+352*x^8-2464*x^7+9856*x^6-25890*x^5+49424*x^4-69424*x^3+62528*x^2-25632*x)*ln(x)*ln(2*x)+121*x^9-1936*x^8+13552*x^7-54208*x^6+149270*x^5-326832*x^4+546832*x^3-563904*x^2+641601*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{8 i \left(x^{4}-8 x^{3}+24 x^{2}-32 x +16\right)}{-1602 i+32 i \ln \left(x \right)^{2}+2 i \ln \left(2\right) x^{4} \ln \left(x \right)-16 i \ln \left(2\right) x^{3} \ln \left(x \right)+48 i \ln \left(2\right) x^{2} \ln \left(x \right)-64 i \ln \left(2\right) x \ln \left(x \right)+48 i x^{2} \ln \left(x \right)^{2}+32 i \ln \left(2\right) \ln \left(x \right)-64 i x \ln \left(x \right)^{2}+2 i x^{4} \ln \left(x \right)^{2}-16 i x^{3} \ln \left(x \right)^{2}+704 i x -22 i x^{4}+176 i x^{3}-528 i x^{2}}$&$139$\\ \hline \end{longtable}"," ",0,"-8*I*(x^4-8*x^3+24*x^2-32*x+16)/(-1602*I+32*I*ln(x)^2+2*I*ln(2)*x^4*ln(x)-16*I*ln(2)*x^3*ln(x)+48*I*ln(2)*x^2*ln(x)-64*I*ln(2)*x*ln(x)+48*I*x^2*ln(x)^2+32*I*ln(2)*ln(x)-64*I*x*ln(x)^2+2*I*x^4*ln(x)^2-16*I*x^3*ln(x)^2+704*I*x-22*I*x^4+176*I*x^3-528*I*x^2)","C"
2400,1,1723,34,22.812000," ","int((-4*x*ln(x)*ln(3*ln(5)*ln(x)^2/x)^2+((4*x^2-4*x)*ln(x)+8*x)*ln(3*ln(5)*ln(x)^2/x)+(-4*x^5+4*x^2)*ln(x)-8*x^2)/(ln(x)*ln(3*ln(5)*ln(x)^2/x)^4-4*x*ln(x)*ln(3*ln(5)*ln(x)^2/x)^3+(-2*x^4-2*x^2)*ln(x)*ln(3*ln(5)*ln(x)^2/x)^2+(4*x^5+12*x^3)*ln(x)*ln(3*ln(5)*ln(x)^2/x)+(x^8+6*x^6+9*x^4)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$1723$\\ \hline \end{longtable}"," ",0,"8*x^2/(-2*Pi^2*csgn(I*ln(x)^2)^4*csgn(I/x*ln(x)^2)^2+Pi^2*csgn(I*ln(x)^2)^6+Pi^2*csgn(I/x*ln(x)^2)^6-16*ln(3)*ln(ln(x))+8*ln(ln(5))*ln(x)-16*ln(ln(5))*ln(ln(x))-4*ln(ln(5))^2+16*x*ln(ln(x))-4*ln(3)^2-16*ln(ln(x))^2-4*ln(x)^2+4*x^4+12*x^2+16*ln(x)*ln(ln(x))+8*ln(3)*ln(x)+8*x*ln(3)-8*x*ln(x)-4*I*ln(x)*Pi*csgn(I/x*ln(x)^2)*csgn(I/x)*csgn(I*ln(x)^2)+4*I*ln(ln(5))*Pi*csgn(I/x*ln(x)^2)*csgn(I/x)*csgn(I*ln(x)^2)+4*I*ln(3)*Pi*csgn(I/x*ln(x)^2)*csgn(I/x)*csgn(I*ln(x)^2)+8*I*ln(ln(x))*Pi*csgn(I/x*ln(x)^2)*csgn(I/x)*csgn(I*ln(x)^2)-4*I*Pi*x*csgn(I/x*ln(x)^2)*csgn(I/x)*csgn(I*ln(x)^2)+8*x*ln(ln(5))+4*I*ln(x)*Pi*csgn(I/x*ln(x)^2)^2*csgn(I/x)+4*I*ln(x)*Pi*csgn(I/x*ln(x)^2)^2*csgn(I*ln(x)^2)+8*I*ln(ln(x))*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-16*I*ln(ln(x))*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-8*I*ln(ln(x))*Pi*csgn(I/x*ln(x)^2)^2*csgn(I/x)-8*I*ln(ln(x))*Pi*csgn(I/x*ln(x)^2)^2*csgn(I*ln(x)^2)-4*I*ln(ln(5))*Pi*csgn(I/x*ln(x)^2)^2*csgn(I*ln(x)^2)+2*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^2*csgn(I/x*ln(x)^2)*csgn(I/x)+2*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)*csgn(I/x*ln(x)^2)^3+4*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^2*csgn(I/x*ln(x)^2)^2*csgn(I/x)-4*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^3*csgn(I/x*ln(x)^2)*csgn(I/x)-4*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^2*csgn(I/x*ln(x)^2)^3+4*Pi^2*csgn(I/x*ln(x)^2)^4*csgn(I/x)*csgn(I*ln(x)^2)-2*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)*csgn(I/x*ln(x)^2)^2*csgn(I/x)-4*I*ln(3)*Pi*csgn(I/x*ln(x)^2)^2*csgn(I*ln(x)^2)+4*I*ln(ln(5))*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-8*I*ln(ln(5))*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-4*I*ln(ln(5))*Pi*csgn(I/x*ln(x)^2)^2*csgn(I/x)+4*I*Pi*x*csgn(I/x*ln(x)^2)^2*csgn(I*ln(x)^2)-4*I*Pi*x*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+8*I*Pi*x*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+4*I*ln(3)*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-8*I*ln(3)*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-4*I*ln(3)*Pi*csgn(I/x*ln(x)^2)^2*csgn(I/x)+4*I*Pi*x*csgn(I/x*ln(x)^2)^2*csgn(I/x)-4*I*ln(x)*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+8*I*ln(x)*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-8*ln(3)*ln(ln(5))+2*Pi^2*csgn(I*ln(x)^2)^4*csgn(I/x*ln(x)^2)*csgn(I/x)+4*I*ln(ln(5))*Pi*csgn(I/x*ln(x)^2)^3-4*I*ln(x)*Pi*csgn(I*ln(x)^2)^3-4*I*ln(x)*Pi*csgn(I/x*ln(x)^2)^3+8*I*ln(ln(x))*Pi*csgn(I*ln(x)^2)^3+8*I*ln(ln(x))*Pi*csgn(I/x*ln(x)^2)^3-4*I*Pi*x*csgn(I/x*ln(x)^2)^3-4*I*Pi*x*csgn(I*ln(x)^2)^3+4*I*ln(3)*Pi*csgn(I*ln(x)^2)^3+4*I*ln(3)*Pi*csgn(I/x*ln(x)^2)^3+4*I*ln(ln(5))*Pi*csgn(I*ln(x)^2)^3+2*Pi^2*csgn(I*ln(x)^2)^3*csgn(I/x*ln(x)^2)^3-2*Pi^2*csgn(I/x*ln(x)^2)^3*csgn(I/x)^2*csgn(I*ln(x)^2)-2*Pi^2*csgn(I/x*ln(x)^2)^5*csgn(I/x)-2*Pi^2*csgn(I/x*ln(x)^2)^3*csgn(I*ln(x)^2)^2*csgn(I/x)-2*Pi^2*csgn(I/x*ln(x)^2)^5*csgn(I*ln(x)^2)+Pi^2*csgn(I/x*ln(x)^2)^2*csgn(I/x)^2*csgn(I*ln(x)^2)^2-2*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^2*csgn(I/x*ln(x)^2)^2+4*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^3*csgn(I/x*ln(x)^2)^2-2*Pi^2*csgn(I*ln(x)^2)^3*csgn(I/x*ln(x)^2)^2*csgn(I/x)+Pi^2*csgn(I/x*ln(x)^2)^4*csgn(I*ln(x)^2)^2+Pi^2*csgn(I/x*ln(x)^2)^4*csgn(I/x)^2+Pi^2*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2-4*Pi^2*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3+6*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4-4*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^5)","C"
2401,1,21,23,0.042000," ","int((3*x^2*ln(x)-2*exp((-x*ln(3)+2)/x))*exp(3*x*ln(x)+exp((-x*ln(3)+2)/x)-3*x+5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3 x} {\mathrm e}^{5+\frac{{\mathrm e}^{\frac{2}{x}}}{3}-3 x}$&$21$\\ \hline \end{longtable}"," ",0,"x^(3*x)*exp(5+1/3*exp(2/x)-3*x)","A"
2402,1,21,22,0.158000," ","int(1/2*((x^5-4*x^4-19*x^3+34*x^2+64*x-96)*exp(x+1)+8*x^10+12*x^9-28*x^8-16*x^7)*exp(1/4*exp(x+1)/x^6)^2*exp((x^4+2*x^3-7*x^2-8*x+16)*exp(1/4*exp(x+1)/x^6)^2)/x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\left(x^{2}+x -4\right)^{2} {\mathrm e}^{\frac{{\mathrm e}^{x +1}}{2 x^{6}}}}$&$21$\\ \hline \end{longtable}"," ",0,"exp((x^2+x-4)^2*exp(1/2*exp(x+1)/x^6))","A"
2403,1,38,27,0.089000," ","int(1/2*((168*x+144)*ln(x)-x^2*exp(1)+196*x^2+194*x+24)/x/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{-1} \left(-\frac{x^{2} {\mathrm e}}{2}+168 x \ln \left(x \right)+26 x +98 x^{2}+72 \ln \left(x \right)^{2}+24 \ln \left(x \right)\right)}{2}$&$38$\\ risch&$-\frac{x^{2}}{4}+84 x \,{\mathrm e}^{-1} \ln \left(x \right)+13 \,{\mathrm e}^{-1} x +49 x^{2} {\mathrm e}^{-1}+36 \,{\mathrm e}^{-1} \ln \left(x \right)^{2}+12 \ln \left(x \right) {\mathrm e}^{-1}$&$40$\\ norman&$12 \ln \left(x \right) {\mathrm e}^{-1}+13 \,{\mathrm e}^{-1} x +36 \,{\mathrm e}^{-1} \ln \left(x \right)^{2}+84 x \,{\mathrm e}^{-1} \ln \left(x \right)-\frac{{\mathrm e}^{-1} \left({\mathrm e}-196\right) x^{2}}{4}$&$49$\\ \hline \end{longtable}"," ",0,"1/2/exp(1)*(-1/2*x^2*exp(1)+168*x*ln(x)+26*x+98*x^2+72*ln(x)^2+24*ln(x))","A"
2404,1,61,23,0.080000," ","int((((5*x^3+7*x^2)*exp(x)^2-6*exp(x)*x)*(-2*exp(x)*x+6)^5+2*(-x^3+2*x^2)*ln(2)*exp(x)+2*(3*x^2-6*x)*ln(2))/(9*x*exp(x)^2-27*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$864 x^{2}-\frac{32 x^{7} {\mathrm e}^{5 x}}{9}+\frac{160 x^{6} {\mathrm e}^{4 x}}{3}-320 x^{5} {\mathrm e}^{3 x}+960 \,{\mathrm e}^{2 x} x^{4}-1440 \,{\mathrm e}^{x} x^{3}+\frac{2 \ln \left(2\right) x^{2} {\mathrm e}^{-x}}{9}$&$61$\\ \hline \end{longtable}"," ",0,"864*x^2-32/9*x^7*exp(5*x)+160/3*x^6*exp(4*x)-320*x^5*exp(3*x)+960*exp(2*x)*x^4-1440*exp(x)*x^3+2/9*ln(2)*x^2*exp(-x)","B"
2405,1,356,29,456.628000," ","int(((ln(x)^2+((x^2-3*x)*exp(3)+2*x+1)*ln(x)+(2*x^3-5*x^2-3*x)*exp(3))*ln((ln(x)^2+(2*x^2-6*x)*exp(3)*ln(x)+(x^4-6*x^3+9*x^2)*exp(3)^2)/x^2/exp(3)^2)+2*ln(x)^2+(-2*x^2*exp(3)-x^2+x-2)*ln(x)+(-x^4+3*x^2)*exp(3)-2*x)*exp((x*ln(x)+x^2)/(ln((ln(x)^2+(2*x^2-6*x)*exp(3)*ln(x)+(x^4-6*x^3+9*x^2)*exp(3)^2)/x^2/exp(3)^2)-x))/((ln(x)+(x^2-3*x)*exp(3))*ln((ln(x)^2+(2*x^2-6*x)*exp(3)*ln(x)+(x^4-6*x^3+9*x^2)*exp(3)^2)/x^2/exp(3)^2)^2+(-2*x*ln(x)+(-2*x^3+6*x^2)*exp(3))*ln((ln(x)^2+(2*x^2-6*x)*exp(3)*ln(x)+(x^4-6*x^3+9*x^2)*exp(3)^2)/x^2/exp(3)^2)+x^2*ln(x)+(x^4-3*x^3)*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 x \left(x +\ln \left(x \right)\right)}{i \pi  \mathrm{csgn}\left(i \left(\ln \left(x \right)+\left(x^{2}-3 x \right) {\mathrm e}^{3}\right)^{2}\right)^{3}-2 i \pi  \mathrm{csgn}\left(i \left(\ln \left(x \right)+\left(x^{2}-3 x \right) {\mathrm e}^{3}\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)+\left(x^{2}-3 x \right) {\mathrm e}^{3}\right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)+\left(x^{2}-3 x \right) {\mathrm e}^{3}\right)^{2}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+\left(x^{2}-3 x \right) {\mathrm e}^{3}\right)\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)+\left(x^{2}-3 x \right) {\mathrm e}^{3}\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+\left(x^{2}-3 x \right) {\mathrm e}^{3}\right)^{2}}{x^{2}}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)+\left(x^{2}-3 x \right) {\mathrm e}^{3}\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+\left(x^{2}-3 x \right) {\mathrm e}^{3}\right)^{2}}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right)-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+\left(x^{2}-3 x \right) {\mathrm e}^{3}\right)^{2}}{x^{2}}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+\left(x^{2}-3 x \right) {\mathrm e}^{3}\right)^{2}}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)+4 \ln \left(x \right)-4 \ln \left(\ln \left(x \right)+\left(x^{2}-3 x \right) {\mathrm e}^{3}\right)+2 x +12}}$&$356$\\ \hline \end{longtable}"," ",0,"exp(-2*x*(x+ln(x))/(I*Pi*csgn(I*(ln(x)+(x^2-3*x)*exp(3))^2)^3-2*I*Pi*csgn(I*(ln(x)+(x^2-3*x)*exp(3))^2)^2*csgn(I*(ln(x)+(x^2-3*x)*exp(3)))+I*Pi*csgn(I*(ln(x)+(x^2-3*x)*exp(3))^2)*csgn(I*(ln(x)+(x^2-3*x)*exp(3)))^2-I*Pi*csgn(I*(ln(x)+(x^2-3*x)*exp(3))^2)*csgn(I/x^2*(ln(x)+(x^2-3*x)*exp(3))^2)^2+I*Pi*csgn(I*(ln(x)+(x^2-3*x)*exp(3))^2)*csgn(I/x^2*(ln(x)+(x^2-3*x)*exp(3))^2)*csgn(I/x^2)-I*Pi*csgn(I*x^2)^3+2*I*Pi*csgn(I*x^2)^2*csgn(I*x)-I*Pi*csgn(I*x^2)*csgn(I*x)^2+I*Pi*csgn(I/x^2*(ln(x)+(x^2-3*x)*exp(3))^2)^3-I*Pi*csgn(I/x^2*(ln(x)+(x^2-3*x)*exp(3))^2)^2*csgn(I/x^2)+4*ln(x)-4*ln(ln(x)+(x^2-3*x)*exp(3))+2*x+12))","C"
2406,1,108,20,0.799000," ","int((((2*x^2+8*x)*ln(-x/(20+5*x))*ln(x)+(x^2+4*x)*ln(-x/(20+5*x)))*ln(ln(-x/(20+5*x)))+4*x*ln(x))*exp(1/5*x^2*ln(x)*ln(ln(-x/(20+5*x))))/(20+5*x)/ln(-x/(20+5*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-\ln \left(5\right)+i \pi +\ln \left(x \right)-\ln \left(4+x \right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x}{4+x}\right) \left(-\mathrm{csgn}\left(\frac{i x}{4+x}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(\frac{i x}{4+x}\right)+\mathrm{csgn}\left(\frac{i}{4+x}\right)\right)}{2}+i \pi  \mathrm{csgn}\left(\frac{i x}{4+x}\right)^{2} \left(\mathrm{csgn}\left(\frac{i x}{4+x}\right)-1\right)\right)^{\frac{x^{2} \ln \left(x \right)}{5}}$&$108$\\ \hline \end{longtable}"," ",0,"(-ln(5)+I*Pi+ln(x)-ln(4+x)-1/2*I*Pi*csgn(I*x/(4+x))*(-csgn(I*x/(4+x))+csgn(I*x))*(-csgn(I*x/(4+x))+csgn(I/(4+x)))+I*Pi*csgn(I*x/(4+x))^2*(csgn(I*x/(4+x))-1))^(1/5*x^2*ln(x))","C"
2407,1,12,16,0.148000," ","int((-4*x-2)*exp(ln(2)-2*x-29)^2/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-4 x -58}}{x^{2}}$&$12$\\ gosper&$\frac{4 \,{\mathrm e}^{-4 x -58}}{x^{2}}$&$15$\\ derivativedivides&$\frac{4 \,{\mathrm e}^{-4 x -58}}{x^{2}}$&$15$\\ default&$\frac{4 \,{\mathrm e}^{-4 x -58}}{x^{2}}$&$15$\\ norman&$\frac{4 \,{\mathrm e}^{-4 x -58}}{x^{2}}$&$15$\\ \hline \end{longtable}"," ",0,"4*exp(-4*x-58)/x^2","A"
2408,1,10,20,0.018000," ","int(-2/(x*ln(x^2)+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(2+\ln \left(x^{2}\right)\right)$&$10$\\ norman&$-\ln \left(2+\ln \left(x^{2}\right)\right)$&$10$\\ risch&$-\ln \left(2+\ln \left(x^{2}\right)\right)$&$10$\\ \hline \end{longtable}"," ",0,"-ln(2+ln(x^2))","A"
2409,1,13,12,0.564000," ","int(-8*ln(2)*ln((2*ln(2)-3*x^2)/x^2)/(2*x*ln(2)-3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\frac{2 \ln \left(2\right)}{x^{2}}-3\right)^{2}$&$13$\\ default&$\ln \left(\frac{2 \ln \left(2\right)}{x^{2}}-3\right)^{2}$&$13$\\ risch&$\ln \left(\frac{2 \ln \left(2\right)}{x^{2}}-3\right)^{2}$&$13$\\ norman&$\ln \left(\frac{2 \ln \left(2\right)-3 x^{2}}{x^{2}}\right)^{2}$&$18$\\ \hline \end{longtable}"," ",0,"ln(2*ln(2)/x^2-3)^2","A"
2410,1,28,13,0.048000," ","int(1/512*(-9*exp(100)^4+144*exp(100)^3-864*exp(100)^2+2304*exp(100)-2304)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\frac{9 \,{\mathrm e}^{400}}{1024}-\frac{9 \,{\mathrm e}^{300}}{64}+\frac{27 \,{\mathrm e}^{200}}{32}-\frac{9 \,{\mathrm e}^{100}}{4}+\frac{9}{4}}{x^{2}}$&$28$\\ norman&$\frac{\frac{9 \,{\mathrm e}^{400}}{1024}-\frac{9 \,{\mathrm e}^{300}}{64}+\frac{27 \,{\mathrm e}^{200}}{32}-\frac{9 \,{\mathrm e}^{100}}{4}+\frac{9}{4}}{x^{2}}$&$29$\\ default&$-\frac{-\frac{9 \,{\mathrm e}^{400}}{512}+\frac{9 \,{\mathrm e}^{300}}{32}-\frac{27 \,{\mathrm e}^{200}}{16}+\frac{9 \,{\mathrm e}^{100}}{2}-\frac{9}{2}}{2 x^{2}}$&$30$\\ risch&$\frac{9 \,{\mathrm e}^{400}}{1024 x^{2}}-\frac{9 \,{\mathrm e}^{300}}{64 x^{2}}+\frac{27 \,{\mathrm e}^{200}}{32 x^{2}}-\frac{9 \,{\mathrm e}^{100}}{4 x^{2}}+\frac{9}{4 x^{2}}$&$35$\\ \hline \end{longtable}"," ",0,"9/1024*(exp(100)^4-16*exp(100)^3+96*exp(100)^2-256*exp(100)+256)/x^2","B"
2411,1,269,17,0.171000," ","int((-2*x*ln(x)*ln(ln(x))^2-4*x^2*ln(x)*ln(ln(x))+(-2*x^3+4*x)*ln(x)+4)/((2*x^2+x)*ln(x)*ln(ln(x))^2+(4*x^3+2*x^2+4*x)*ln(x)*ln(ln(x))+(2*x^4+x^3+4*x^2)*ln(x))/ln(((-2*x-1)*ln(ln(x))-2*x^2-x-4)/(ln(ln(x))+x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 i}{-2 \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{1}{2}\right) x +\frac{\ln \left(\ln \left(x \right)\right)}{2}+2\right)}{\ln \left(\ln \left(x \right)\right)+x}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x \right)\right)+x}\right) \mathrm{csgn}\left(i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{1}{2}\right) x +\frac{\ln \left(\ln \left(x \right)\right)}{2}+2\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{1}{2}\right) x +\frac{\ln \left(\ln \left(x \right)\right)}{2}+2\right)}{\ln \left(\ln \left(x \right)\right)+x}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x \right)\right)+x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{1}{2}\right) x +\frac{\ln \left(\ln \left(x \right)\right)}{2}+2\right)}{\ln \left(\ln \left(x \right)\right)+x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{1}{2}\right) x +\frac{\ln \left(\ln \left(x \right)\right)}{2}+2\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{1}{2}\right) x +\frac{\ln \left(\ln \left(x \right)\right)}{2}+2\right)}{\ln \left(\ln \left(x \right)\right)+x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{1}{2}\right) x +\frac{\ln \left(\ln \left(x \right)\right)}{2}+2\right)}{\ln \left(\ln \left(x \right)\right)+x}\right)^{3}+2 \pi -2 i \ln \left(2\right)+2 i \ln \left(\ln \left(\ln \left(x \right)\right)+x \right)-2 i \ln \left(x^{2}+\left(\ln \left(\ln \left(x \right)\right)+\frac{1}{2}\right) x +\frac{\ln \left(\ln \left(x \right)\right)}{2}+2\right)}$&$269$\\ \hline \end{longtable}"," ",0,"-2*I/(-2*Pi*csgn(I/(ln(ln(x))+x)*(x^2+(ln(ln(x))+1/2)*x+1/2*ln(ln(x))+2))^2-Pi*csgn(I/(ln(ln(x))+x))*csgn(I*(x^2+(ln(ln(x))+1/2)*x+1/2*ln(ln(x))+2))*csgn(I/(ln(ln(x))+x)*(x^2+(ln(ln(x))+1/2)*x+1/2*ln(ln(x))+2))+Pi*csgn(I/(ln(ln(x))+x))*csgn(I/(ln(ln(x))+x)*(x^2+(ln(ln(x))+1/2)*x+1/2*ln(ln(x))+2))^2+Pi*csgn(I*(x^2+(ln(ln(x))+1/2)*x+1/2*ln(ln(x))+2))*csgn(I/(ln(ln(x))+x)*(x^2+(ln(ln(x))+1/2)*x+1/2*ln(ln(x))+2))^2+Pi*csgn(I/(ln(ln(x))+x)*(x^2+(ln(ln(x))+1/2)*x+1/2*ln(ln(x))+2))^3+2*Pi-2*I*ln(2)+2*I*ln(ln(ln(x))+x)-2*I*ln(x^2+(ln(ln(x))+1/2)*x+1/2*ln(ln(x))+2))","C"
2412,1,21,22,0.027000," ","int(2/((x-2)*ln(1/16*(25*x^2-100*x+100)*ln(5)/exp(5))+5*x-10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\frac{\left(25 x^{2}-100 x +100\right) \ln \left(5\right) {\mathrm e}^{-5}}{16}\right)+5\right)$&$21$\\ norman&$\ln \left(\ln \left(\frac{\left(25 x^{2}-100 x +100\right) \ln \left(5\right) {\mathrm e}^{-5}}{16}\right)+5\right)$&$23$\\ \hline \end{longtable}"," ",0,"ln(ln(1/16*(25*x^2-100*x+100)*ln(5)*exp(-5))+5)","A"
2413,1,178,23,0.148000," ","int(8*x^7*exp(1)^4*exp(exp(16))^8-256*x^7*exp(1)^4*exp(exp(16))^7+(24*x^5*exp(1)^4*exp(5/3)+3584*x^7*exp(1)^4)*exp(exp(16))^6+(-576*x^5*exp(1)^4*exp(5/3)-28672*x^7*exp(1)^4)*exp(exp(16))^5+(24*x^3*exp(1)^4*exp(5/3)^2+5760*x^5*exp(1)^4*exp(5/3)+143360*x^7*exp(1)^4)*exp(exp(16))^4+(-384*x^3*exp(1)^4*exp(5/3)^2-30720*x^5*exp(1)^4*exp(5/3)-458752*x^7*exp(1)^4)*exp(exp(16))^3+(8*x*exp(1)^4*exp(5/3)^3+2304*x^3*exp(1)^4*exp(5/3)^2+92160*x^5*exp(1)^4*exp(5/3)+917504*x^7*exp(1)^4)*exp(exp(16))^2+(-64*x*exp(1)^4*exp(5/3)^3-6144*x^3*exp(1)^4*exp(5/3)^2-147456*x^5*exp(1)^4*exp(5/3)-1048576*x^7*exp(1)^4)*exp(exp(16))+128*x*exp(1)^4*exp(5/3)^3+6144*x^3*exp(1)^4*exp(5/3)^2+98304*x^5*exp(1)^4*exp(5/3)+524288*x^7*exp(1)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left({\mathrm e}^{2 \,{\mathrm e}^{16}}-8 \,{\mathrm e}^{{\mathrm e}^{16}}+16\right) {\mathrm e}^{4} \left({\mathrm e}^{6 \,{\mathrm e}^{16}} x^{6}-24 \,{\mathrm e}^{5 \,{\mathrm e}^{16}} x^{6}+240 \,{\mathrm e}^{4 \,{\mathrm e}^{16}} x^{6}+4 \,{\mathrm e}^{\frac{5}{3}} {\mathrm e}^{4 \,{\mathrm e}^{16}} x^{4}-1280 \,{\mathrm e}^{3 \,{\mathrm e}^{16}} x^{6}-64 \,{\mathrm e}^{\frac{5}{3}} {\mathrm e}^{3 \,{\mathrm e}^{16}} x^{4}+3840 \,{\mathrm e}^{2 \,{\mathrm e}^{16}} x^{6}+384 \,{\mathrm e}^{\frac{5}{3}} {\mathrm e}^{2 \,{\mathrm e}^{16}} x^{4}-6144 \,{\mathrm e}^{{\mathrm e}^{16}} x^{6}+6 \,{\mathrm e}^{\frac{10}{3}} {\mathrm e}^{2 \,{\mathrm e}^{16}} x^{2}-1024 \,{\mathrm e}^{\frac{5}{3}} {\mathrm e}^{{\mathrm e}^{16}} x^{4}+4096 x^{6}-48 \,{\mathrm e}^{\frac{10}{3}} {\mathrm e}^{{\mathrm e}^{16}} x^{2}+1024 \,{\mathrm e}^{\frac{5}{3}} x^{4}+96 \,{\mathrm e}^{\frac{10}{3}} x^{2}+4 \,{\mathrm e}^{5}\right) x^{2}$&$178$\\ risch&$x^{8} {\mathrm e}^{4+8 \,{\mathrm e}^{16}}-32 x^{8} {\mathrm e}^{4+7 \,{\mathrm e}^{16}}+448 \,{\mathrm e}^{6 \,{\mathrm e}^{16}+4} x^{8}+4 \,{\mathrm e}^{6 \,{\mathrm e}^{16}+4} {\mathrm e}^{\frac{5}{3}} x^{6}-3584 \,{\mathrm e}^{5 \,{\mathrm e}^{16}+4} x^{8}-96 \,{\mathrm e}^{5 \,{\mathrm e}^{16}+4} {\mathrm e}^{\frac{5}{3}} x^{6}+17920 \,{\mathrm e}^{4 \,{\mathrm e}^{16}+4} x^{8}+960 \,{\mathrm e}^{4 \,{\mathrm e}^{16}+4} {\mathrm e}^{\frac{5}{3}} x^{6}+6 \,{\mathrm e}^{4 \,{\mathrm e}^{16}+4} {\mathrm e}^{\frac{10}{3}} x^{4}-57344 \,{\mathrm e}^{3 \,{\mathrm e}^{16}+4} x^{8}-5120 \,{\mathrm e}^{3 \,{\mathrm e}^{16}+4} {\mathrm e}^{\frac{5}{3}} x^{6}-96 \,{\mathrm e}^{3 \,{\mathrm e}^{16}+4} {\mathrm e}^{\frac{10}{3}} x^{4}+114688 \,{\mathrm e}^{2 \,{\mathrm e}^{16}+4} x^{8}+15360 \,{\mathrm e}^{2 \,{\mathrm e}^{16}+4} {\mathrm e}^{\frac{5}{3}} x^{6}+576 \,{\mathrm e}^{2 \,{\mathrm e}^{16}+4} {\mathrm e}^{\frac{10}{3}} x^{4}+4 \,{\mathrm e}^{2 \,{\mathrm e}^{16}+4} {\mathrm e}^{5} x^{2}-131072 \,{\mathrm e}^{{\mathrm e}^{16}+4} x^{8}-24576 \,{\mathrm e}^{{\mathrm e}^{16}+4} {\mathrm e}^{\frac{5}{3}} x^{6}-1536 \,{\mathrm e}^{{\mathrm e}^{16}+4} {\mathrm e}^{\frac{10}{3}} x^{4}-32 \,{\mathrm e}^{{\mathrm e}^{16}+4} {\mathrm e}^{5} x^{2}+64 x^{2} {\mathrm e}^{9}+1536 \,{\mathrm e}^{\frac{22}{3}} x^{4}+16384 \,{\mathrm e}^{\frac{17}{3}} x^{6}+65536 x^{8} {\mathrm e}^{4}$&$285$\\ norman&$\left(4 \,{\mathrm e}^{4} {\mathrm e}^{5} {\mathrm e}^{2 \,{\mathrm e}^{16}}-32 \,{\mathrm e}^{4} {\mathrm e}^{5} {\mathrm e}^{{\mathrm e}^{16}}+64 \,{\mathrm e}^{4} {\mathrm e}^{5}\right) x^{2}+\left(6 \,{\mathrm e}^{4} {\mathrm e}^{\frac{10}{3}} {\mathrm e}^{4 \,{\mathrm e}^{16}}-96 \,{\mathrm e}^{4} {\mathrm e}^{\frac{10}{3}} {\mathrm e}^{3 \,{\mathrm e}^{16}}+576 \,{\mathrm e}^{4} {\mathrm e}^{\frac{10}{3}} {\mathrm e}^{2 \,{\mathrm e}^{16}}-1536 \,{\mathrm e}^{4} {\mathrm e}^{\frac{10}{3}} {\mathrm e}^{{\mathrm e}^{16}}+1536 \,{\mathrm e}^{4} {\mathrm e}^{\frac{10}{3}}\right) x^{4}+\left(4 \,{\mathrm e}^{4} {\mathrm e}^{\frac{5}{3}} {\mathrm e}^{6 \,{\mathrm e}^{16}}-96 \,{\mathrm e}^{4} {\mathrm e}^{\frac{5}{3}} {\mathrm e}^{5 \,{\mathrm e}^{16}}+960 \,{\mathrm e}^{4} {\mathrm e}^{\frac{5}{3}} {\mathrm e}^{4 \,{\mathrm e}^{16}}-5120 \,{\mathrm e}^{4} {\mathrm e}^{\frac{5}{3}} {\mathrm e}^{3 \,{\mathrm e}^{16}}+15360 \,{\mathrm e}^{4} {\mathrm e}^{\frac{5}{3}} {\mathrm e}^{2 \,{\mathrm e}^{16}}-24576 \,{\mathrm e}^{4} {\mathrm e}^{\frac{5}{3}} {\mathrm e}^{{\mathrm e}^{16}}+16384 \,{\mathrm e}^{4} {\mathrm e}^{\frac{5}{3}}\right) x^{6}+\left({\mathrm e}^{4} {\mathrm e}^{8 \,{\mathrm e}^{16}}-32 \,{\mathrm e}^{4} {\mathrm e}^{7 \,{\mathrm e}^{16}}+448 \,{\mathrm e}^{4} {\mathrm e}^{6 \,{\mathrm e}^{16}}-3584 \,{\mathrm e}^{4} {\mathrm e}^{5 \,{\mathrm e}^{16}}+17920 \,{\mathrm e}^{4} {\mathrm e}^{4 \,{\mathrm e}^{16}}-57344 \,{\mathrm e}^{4} {\mathrm e}^{3 \,{\mathrm e}^{16}}+114688 \,{\mathrm e}^{4} {\mathrm e}^{2 \,{\mathrm e}^{16}}-131072 \,{\mathrm e}^{4} {\mathrm e}^{{\mathrm e}^{16}}+65536 \,{\mathrm e}^{4}\right) x^{8}$&$303$\\ default&${\mathrm e}^{4} {\mathrm e}^{8 \,{\mathrm e}^{16}} x^{8}-32 \,{\mathrm e}^{4} {\mathrm e}^{7 \,{\mathrm e}^{16}} x^{8}+{\mathrm e}^{6 \,{\mathrm e}^{16}} \left(4 x^{6} {\mathrm e}^{4} {\mathrm e}^{\frac{5}{3}}+448 x^{8} {\mathrm e}^{4}\right)+{\mathrm e}^{5 \,{\mathrm e}^{16}} \left(-96 x^{6} {\mathrm e}^{4} {\mathrm e}^{\frac{5}{3}}-3584 x^{8} {\mathrm e}^{4}\right)+{\mathrm e}^{4 \,{\mathrm e}^{16}} \left(6 x^{4} {\mathrm e}^{4} {\mathrm e}^{\frac{10}{3}}+960 x^{6} {\mathrm e}^{4} {\mathrm e}^{\frac{5}{3}}+17920 x^{8} {\mathrm e}^{4}\right)+{\mathrm e}^{3 \,{\mathrm e}^{16}} \left(-96 x^{4} {\mathrm e}^{4} {\mathrm e}^{\frac{10}{3}}-5120 x^{6} {\mathrm e}^{4} {\mathrm e}^{\frac{5}{3}}-57344 x^{8} {\mathrm e}^{4}\right)+{\mathrm e}^{2 \,{\mathrm e}^{16}} \left(4 x^{2} {\mathrm e}^{4} {\mathrm e}^{5}+576 x^{4} {\mathrm e}^{4} {\mathrm e}^{\frac{10}{3}}+15360 x^{6} {\mathrm e}^{4} {\mathrm e}^{\frac{5}{3}}+114688 x^{8} {\mathrm e}^{4}\right)+{\mathrm e}^{{\mathrm e}^{16}} \left(-32 x^{2} {\mathrm e}^{4} {\mathrm e}^{5}-1536 x^{4} {\mathrm e}^{4} {\mathrm e}^{\frac{10}{3}}-24576 x^{6} {\mathrm e}^{4} {\mathrm e}^{\frac{5}{3}}-131072 x^{8} {\mathrm e}^{4}\right)+64 x^{2} {\mathrm e}^{4} {\mathrm e}^{5}+1536 x^{4} {\mathrm e}^{4} {\mathrm e}^{\frac{10}{3}}+16384 x^{6} {\mathrm e}^{4} {\mathrm e}^{\frac{5}{3}}+65536 x^{8} {\mathrm e}^{4}$&$313$\\ \hline \end{longtable}"," ",0,"(exp(exp(16))^2-8*exp(exp(16))+16)*exp(1)^4*(exp(exp(16))^6*x^6-24*exp(exp(16))^5*x^6+240*exp(exp(16))^4*x^6+4*exp(5/3)*exp(exp(16))^4*x^4-1280*exp(exp(16))^3*x^6-64*exp(5/3)*exp(exp(16))^3*x^4+3840*exp(exp(16))^2*x^6+384*exp(5/3)*exp(exp(16))^2*x^4-6144*exp(exp(16))*x^6+6*exp(5/3)^2*exp(exp(16))^2*x^2-1024*exp(5/3)*exp(exp(16))*x^4+4096*x^6-48*exp(5/3)^2*exp(exp(16))*x^2+1024*exp(5/3)*x^4+96*exp(5/3)^2*x^2+4*exp(5/3)^3)*x^2","B"
2414,1,23,24,0.097000," ","int(((2*exp(5)*exp(5+x)+2*x*exp(5))*ln(x+exp(5+x))^2+(4*x*exp(5)*exp(5+x)+4*x*exp(5))*ln(x+exp(5+x))-6*exp(5)*ln(5)*exp(5+x)-6*x*exp(5)*ln(5))/(x+exp(5+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-6 x \,{\mathrm e}^{5} \ln \left(5\right)+2 x \,{\mathrm e}^{5} \ln \left(x +{\mathrm e}^{5+x}\right)^{2}$&$23$\\ risch&$-6 x \,{\mathrm e}^{5} \ln \left(5\right)+2 x \,{\mathrm e}^{5} \ln \left(x +{\mathrm e}^{5+x}\right)^{2}$&$23$\\ \hline \end{longtable}"," ",0,"-6*x*exp(5)*ln(5)+2*x*exp(5)*ln(x+exp(5+x))^2","A"
2415,1,15,18,0.040000," ","int(4*ln(x)+18*x+28,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$9 x^{2}+24 x +4 x \ln \left(x \right)$&$15$\\ norman&$9 x^{2}+24 x +4 x \ln \left(x \right)$&$15$\\ risch&$9 x^{2}+24 x +4 x \ln \left(x \right)$&$15$\\ \hline \end{longtable}"," ",0,"9*x^2+24*x+4*x*ln(x)","A"
2416,1,33,23,2.307000," ","int((((-30*x^2+15)*exp(2)^2+50*exp(2)*x)*exp(x^2)-30*exp(2)^2+25*exp(2))/(72*x^2*exp(2)^2-240*exp(2)*x+200),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{3 \,{\mathrm e}^{4}}{4}-\frac{5 \,{\mathrm e}^{2}}{8}\right) x -\frac{5 \,{\mathrm e}^{x^{2}} {\mathrm e}^{2}}{8}}{3 \,{\mathrm e}^{2} x -5}$&$33$\\ risch&$\frac{5 \,{\mathrm e}^{2}}{12 \left({\mathrm e}^{2} x -\frac{5}{3}\right)}-\frac{25}{72 \left({\mathrm e}^{2} x -\frac{5}{3}\right)}-\frac{5 \,{\mathrm e}^{x^{2}+2}}{8 \left(3 \,{\mathrm e}^{2} x -5\right)}$&$41$\\ \hline \end{longtable}"," ",0,"((3/4*exp(2)^2-5/8*exp(2))*x-5/8*exp(x^2)*exp(2))/(3*exp(2)*x-5)","A"
2417,1,22,19,0.108000," ","int(1/5*((-4*x^2-2*x-2)*exp(x)+3*x^3+4*x^2+13*x+2)*exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(5+2 x +\frac{3 x^{2}}{2}-2 \,{\mathrm e}^{x} x \right) {\mathrm e}^{x^{2}}}{5}$&$22$\\ default&$\frac{2 \,{\mathrm e}^{x^{2}} x}{5}+\frac{3 x^{2} {\mathrm e}^{x^{2}}}{10}+{\mathrm e}^{x^{2}}-\frac{2 x \,{\mathrm e}^{x^{2}+x}}{5}$&$31$\\ norman&$\frac{3 x^{2} {\mathrm e}^{x^{2}}}{10}+\frac{2 \,{\mathrm e}^{x^{2}} x}{5}-\frac{2 x \,{\mathrm e}^{x} {\mathrm e}^{x^{2}}}{5}+{\mathrm e}^{x^{2}}$&$31$\\ \hline \end{longtable}"," ",0,"1/5*(5+2*x+3/2*x^2-2*exp(x)*x)*exp(x^2)","A"
2418,1,18,19,0.113000," ","int((-ln(50*exp(x-ln(x)+5))^2+(2*x-2)*ln(50*exp(x-ln(x)+5)))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(50 \,{\mathrm e}^{x -\ln \left(x \right)+5}\right)^{2}}{x}$&$18$\\ risch&$\frac{\ln \left(\frac{{\mathrm e}^{5+x}}{x}\right)^{2}}{x}+\frac{\left(4 \ln \left(5\right)+2 \ln \left(2\right)\right) \ln \left(\frac{{\mathrm e}^{5+x}}{x}\right)}{x}+\frac{\ln \left(2\right)^{2}}{x}+\frac{4 \ln \left(2\right) \ln \left(5\right)}{x}+\frac{4 \ln \left(5\right)^{2}}{x}$&$65$\\ \hline \end{longtable}"," ",0,"ln(50*exp(x-ln(x)+5))^2/x","A"
2419,1,23,24,0.023000," ","int(-36*x^3*exp(2)^2*ln(x)^2-18*x^3*exp(2)^2*ln(x)+exp(x)+3*x^2+6*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+3 x^{2}-9 \,{\mathrm e}^{4} x^{4} \ln \left(x \right)^{2}+{\mathrm e}^{x}$&$23$\\ default&$x^{3}+3 x^{2}-9 \,{\mathrm e}^{4} x^{4} \ln \left(x \right)^{2}+{\mathrm e}^{x}$&$25$\\ \hline \end{longtable}"," ",0,"x^3+3*x^2-9*exp(4)*x^4*ln(x)^2+exp(x)","A"
2420,1,32,22,0.176000," ","int((-2*x*exp(3)^2*ln(5)^2-8*x^4*exp(3)*ln(5)-8*x^7-48*x^2)*exp((-x^2*exp(3)*ln(5)-2*x^5+8)/(exp(3)*ln(5)+2*x^3))/(exp(3)^2*ln(5)^2+4*x^3*exp(3)*ln(5)+4*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{2 x^{5}+x^{2} {\mathrm e}^{3} \ln \left(5\right)-8}{{\mathrm e}^{3} \ln \left(5\right)+2 x^{3}}}$&$32$\\ risch&${\mathrm e}^{-\frac{2 x^{5}+x^{2} {\mathrm e}^{3} \ln \left(5\right)-8}{{\mathrm e}^{3} \ln \left(5\right)+2 x^{3}}}$&$32$\\ norman&$\frac{{\mathrm e}^{3} \ln \left(5\right) {\mathrm e}^{\frac{-x^{2} {\mathrm e}^{3} \ln \left(5\right)-2 x^{5}+8}{{\mathrm e}^{3} \ln \left(5\right)+2 x^{3}}}+2 x^{3} {\mathrm e}^{\frac{-x^{2} {\mathrm e}^{3} \ln \left(5\right)-2 x^{5}+8}{{\mathrm e}^{3} \ln \left(5\right)+2 x^{3}}}}{{\mathrm e}^{3} \ln \left(5\right)+2 x^{3}}$&$88$\\ \hline \end{longtable}"," ",0,"exp(-(2*x^5+x^2*exp(3)*ln(5)-8)/(exp(3)*ln(5)+2*x^3))","A"
2421,1,51,23,0.394000," ","int((8*exp(2)^2-72)*exp((-exp(2)^2+9)/exp(-4*x/(3*x-3))^2)/(3*x^2-6*x+3)/exp(-4*x/(3*x-3))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\left({\mathrm e}^{4}-9\right) {\mathrm e}^{\frac{8 x}{3 \left(x -1\right)}}} {\mathrm e}^{4}}{{\mathrm e}^{4}-9}-\frac{9 \,{\mathrm e}^{-\left({\mathrm e}^{4}-9\right) {\mathrm e}^{\frac{8 x}{3 \left(x -1\right)}}}}{{\mathrm e}^{4}-9}$&$51$\\ norman&$\frac{\left(x \,{\mathrm e}^{-\frac{8 x}{3 x -3}} {\mathrm e}^{\left(-{\mathrm e}^{4}+9\right) {\mathrm e}^{\frac{8 x}{3 x -3}}}-{\mathrm e}^{-\frac{8 x}{3 x -3}} {\mathrm e}^{\left(-{\mathrm e}^{4}+9\right) {\mathrm e}^{\frac{8 x}{3 x -3}}}\right) {\mathrm e}^{\frac{8 x}{3 x -3}}}{x -1}$&$97$\\ \hline \end{longtable}"," ",0,"1/(exp(4)-9)*exp(-(exp(4)-9)*exp(8/3*x/(x-1)))*exp(4)-9/(exp(4)-9)*exp(-(exp(4)-9)*exp(8/3*x/(x-1)))","B"
2422,1,6,16,0.011000," ","int(2*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{2}+x$&$6$\\ default&$x^{2}+x$&$6$\\ norman&$x^{2}+x$&$6$\\ risch&$x^{2}+x$&$6$\\ \hline \end{longtable}"," ",0,"x^2+x","A"
2423,0,0,29,0.138000," ","int((((2*x^2-4*x)*ln(x)+2*x^3-4*x^2)*ln((x+ln(x))/exp((x^2+x+2)*exp(3)))*ln(ln((x+ln(x))/exp((x^2+x+2)*exp(3)))^2)^2+((-8*x^4+28*x^3-16*x^2-16*x)*exp(3)*ln(x)+(-8*x^5+28*x^4-16*x^3-16*x^2)*exp(3)+4*x^3-12*x^2+16)*ln(ln((x+ln(x))/exp((x^2+x+2)*exp(3)))^2))/(x*ln(x)+x^2)/ln((x+ln(x))/exp((x^2+x+2)*exp(3))),x)","\[\int \frac{\left(\left(2 x^{2}-4 x \right) \ln \left(x \right)+2 x^{3}-4 x^{2}\right) \ln \left(\left(x +\ln \left(x \right)\right) {\mathrm e}^{-\left(x^{2}+x +2\right) {\mathrm e}^{3}}\right) \ln \left(\ln \left(\left(x +\ln \left(x \right)\right) {\mathrm e}^{-\left(x^{2}+x +2\right) {\mathrm e}^{3}}\right)^{2}\right)^{2}+\left(\left(-8 x^{4}+28 x^{3}-16 x^{2}-16 x \right) {\mathrm e}^{3} \ln \left(x \right)+\left(-8 x^{5}+28 x^{4}-16 x^{3}-16 x^{2}\right) {\mathrm e}^{3}+4 x^{3}-12 x^{2}+16\right) \ln \left(\ln \left(\left(x +\ln \left(x \right)\right) {\mathrm e}^{-\left(x^{2}+x +2\right) {\mathrm e}^{3}}\right)^{2}\right)}{\left(x \ln \left(x \right)+x^{2}\right) \ln \left(\left(x +\ln \left(x \right)\right) {\mathrm e}^{-\left(x^{2}+x +2\right) {\mathrm e}^{3}}\right)}\, dx\]"," ",0,"int((((2*x^2-4*x)*ln(x)+2*x^3-4*x^2)*ln((x+ln(x))/exp((x^2+x+2)*exp(3)))*ln(ln((x+ln(x))/exp((x^2+x+2)*exp(3)))^2)^2+((-8*x^4+28*x^3-16*x^2-16*x)*exp(3)*ln(x)+(-8*x^5+28*x^4-16*x^3-16*x^2)*exp(3)+4*x^3-12*x^2+16)*ln(ln((x+ln(x))/exp((x^2+x+2)*exp(3)))^2))/(x*ln(x)+x^2)/ln((x+ln(x))/exp((x^2+x+2)*exp(3))),x)","F"
2424,1,17,20,0.026000," ","int((6-4*x)*exp((-exp(5)*ln(3)+(-x^2+3*x)*exp(5)-1)/exp(5))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-2 x^{2}+6 x -2 \,{\mathrm e}^{-5}}}{9}$&$17$\\ gosper&${\mathrm e}^{-2 \left(x^{2} {\mathrm e}^{5}+{\mathrm e}^{5} \ln \left(3\right)-3 x \,{\mathrm e}^{5}+1\right) {\mathrm e}^{-5}}$&$28$\\ default&${\mathrm e}^{2 \left(-{\mathrm e}^{5} \ln \left(3\right)+\left(-x^{2}+3 x \right) {\mathrm e}^{5}-1\right) {\mathrm e}^{-5}}$&$29$\\ norman&${\mathrm e}^{2 \left(-{\mathrm e}^{5} \ln \left(3\right)+\left(-x^{2}+3 x \right) {\mathrm e}^{5}-1\right) {\mathrm e}^{-5}}$&$29$\\ \hline \end{longtable}"," ",0,"1/9*exp(-2*x^2+6*x-2*exp(-5))","A"
2425,1,38,17,0.049000," ","int(((2*x^5+22*x^4+60*x^3)*exp(x)^2*ln(x)*ln(ln(x))^2+((-32*x^3-160*x^2+160*x)*exp(x)*ln(x)+(2*x^4+20*x^3+50*x^2)*exp(x)^2)*ln(ln(x))-512*ln(x)+(-32*x^2-160*x)*exp(x))/x^3/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}+10 x +25\right) {\mathrm e}^{2 x} \ln \left(\ln \left(x \right)\right)^{2}-\frac{32 \left(5+x \right) {\mathrm e}^{x} \ln \left(\ln \left(x \right)\right)}{x}+\frac{256}{x^{2}}$&$38$\\ \hline \end{longtable}"," ",0,"(x^2+10*x+25)*exp(2*x)*ln(ln(x))^2-32/x*(5+x)*exp(x)*ln(ln(x))+256/x^2","B"
2426,1,33,32,0.031000," ","int(((-2*x^3+x^2+16)*ln(x)*ln(ln(x))+(-2*x^3+3*x^2)*ln(x)-x^3+x^2-20*x-16)/x^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x^{3}-x^{2}+16\right) \ln \left(\ln \left(x \right)\right)}{x}-x^{2}+3 x -20 \ln \left(\ln \left(x \right)\right)$&$33$\\ \hline \end{longtable}"," ",0,"-(x^3-x^2+16)/x*ln(ln(x))-x^2+3*x-20*ln(ln(x))","A"
2427,1,20,15,0.391000," ","int(((3*x^3+75*x^2)*ln(1/25*x^2+x)-x^3-50*x^2)/(32*x+800),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x^{3}}{32}+\frac{x^{3} \ln \left(\frac{1}{25} x^{2}+x \right)}{32}$&$20$\\ risch&$-\frac{x^{3}}{32}+\frac{x^{3} \ln \left(\frac{1}{25} x^{2}+x \right)}{32}$&$20$\\ default&$-\frac{x^{3} \ln \left(5\right)}{16}+\frac{x^{3} \ln \left(x^{2}+25 x \right)}{32}-\frac{x^{3}}{32}$&$27$\\ \hline \end{longtable}"," ",0,"-1/32*x^3+1/32*x^3*ln(1/25*x^2+x)","A"
2428,1,14,13,0.018000," ","int(-9/8*x^2*ln(x^2)-3/4*x^2+5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x -\frac{3 x^{3} \ln \left(x^{2}\right)}{8}$&$14$\\ norman&$5 x -\frac{3 x^{3} \ln \left(x^{2}\right)}{8}$&$14$\\ risch&$5 x -\frac{3 x^{3} \ln \left(x^{2}\right)}{8}$&$14$\\ \hline \end{longtable}"," ",0,"5*x-3/8*x^3*ln(x^2)","A"
2429,1,660,37,0.316000," ","int(((((-2*x+8)*ln(2)+4*x-16)*ln(x)+(x^2-9*x+20)*ln(2)-2*x^2+18*x-40)*ln((-x+4)/(2*x*ln(x)-x^2+5*x))+(8*ln(2)+2*x^3-8*x^2-16)*ln(x)+(x^2-10*x+28)*ln(2)-x^4+9*x^3-22*x^2+20*x-56)/(((2*x^3-8*x^2)*ln(2)-4*x^3+16*x^2)*ln(x)+(-x^4+9*x^3-20*x^2)*ln(2)+2*x^4-18*x^3+40*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(-2 \ln \left(x \right)+x -5\right)}{x}+\frac{-i \pi  \ln \left(2\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{2 \ln \left(x \right)-x +5}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x \left(2 \ln \left(x \right)-x +5\right)}\right)^{2}-2 i \pi  \,\mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{2 \ln \left(x \right)-x +5}\right)^{2}+2 i \pi  \,\mathrm{csgn}\left(\frac{i}{2 \ln \left(x \right)-x +5}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{2 \ln \left(x \right)-x +5}\right)^{2}-i \pi  \ln \left(2\right) \mathrm{csgn}\left(\frac{i}{2 \ln \left(x \right)-x +5}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{2 \ln \left(x \right)-x +5}\right)^{2}+2 i \pi  \,\mathrm{csgn}\left(\frac{i \left(x -4\right)}{2 \ln \left(x \right)-x +5}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x \left(2 \ln \left(x \right)-x +5\right)}\right)^{2}+2 i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{2 \ln \left(x \right)-x +5}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x \left(2 \ln \left(x \right)-x +5\right)}\right)+i \pi  \ln \left(2\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{2 \ln \left(x \right)-x +5}\right)^{3}-i \pi  \ln \left(2\right) \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i}{2 \ln \left(x \right)-x +5}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{2 \ln \left(x \right)-x +5}\right)+i \pi  \ln \left(2\right) \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{2 \ln \left(x \right)-x +5}\right)^{2}+2 i \pi  \,\mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i}{2 \ln \left(x \right)-x +5}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{2 \ln \left(x \right)-x +5}\right)+i \pi  \ln \left(2\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x \left(2 \ln \left(x \right)-x +5\right)}\right)^{2}-2 i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x \left(2 \ln \left(x \right)-x +5\right)}\right)^{2}-i \pi  \ln \left(2\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{2 \ln \left(x \right)-x +5}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x \left(2 \ln \left(x \right)-x +5\right)}\right)-2 i \pi  \mathrm{csgn}\left(\frac{i \left(x -4\right)}{2 \ln \left(x \right)-x +5}\right)^{3}+i \pi  \ln \left(2\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x \left(2 \ln \left(x \right)-x +5\right)}\right)^{3}-2 i \pi  \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x \left(2 \ln \left(x \right)-x +5\right)}\right)^{3}-2 \ln \left(2\right) \ln \left(x \right)+2 \ln \left(2\right) \ln \left(x -4\right)+2 x^{2}+4 \ln \left(x \right)-4 \ln \left(x -4\right)}{2 \left(\ln \left(2\right)-2\right) x}$&$660$\\ \hline \end{longtable}"," ",0,"-1/x*ln(-2*ln(x)+x-5)+1/2*(-I*Pi*ln(2)*csgn(I*(x-4)/(2*ln(x)-x+5))*csgn(I*(x-4)/x/(2*ln(x)-x+5))^2-2*I*Pi*csgn(I*(x-4))*csgn(I*(x-4)/(2*ln(x)-x+5))^2+2*I*Pi*csgn(I/(2*ln(x)-x+5))*csgn(I*(x-4)/(2*ln(x)-x+5))^2-I*Pi*ln(2)*csgn(I/(2*ln(x)-x+5))*csgn(I*(x-4)/(2*ln(x)-x+5))^2+2*I*Pi*csgn(I*(x-4)/(2*ln(x)-x+5))*csgn(I*(x-4)/x/(2*ln(x)-x+5))^2+2*I*Pi*csgn(I/x)*csgn(I*(x-4)/(2*ln(x)-x+5))*csgn(I*(x-4)/x/(2*ln(x)-x+5))+I*Pi*ln(2)*csgn(I*(x-4)/(2*ln(x)-x+5))^3-I*Pi*ln(2)*csgn(I*(x-4))*csgn(I/(2*ln(x)-x+5))*csgn(I*(x-4)/(2*ln(x)-x+5))+I*Pi*ln(2)*csgn(I*(x-4))*csgn(I*(x-4)/(2*ln(x)-x+5))^2+2*I*Pi*csgn(I*(x-4))*csgn(I/(2*ln(x)-x+5))*csgn(I*(x-4)/(2*ln(x)-x+5))+I*Pi*ln(2)*csgn(I/x)*csgn(I*(x-4)/x/(2*ln(x)-x+5))^2-2*I*Pi*csgn(I/x)*csgn(I*(x-4)/x/(2*ln(x)-x+5))^2-I*Pi*ln(2)*csgn(I/x)*csgn(I*(x-4)/(2*ln(x)-x+5))*csgn(I*(x-4)/x/(2*ln(x)-x+5))-2*I*Pi*csgn(I*(x-4)/(2*ln(x)-x+5))^3+I*Pi*ln(2)*csgn(I*(x-4)/x/(2*ln(x)-x+5))^3-2*I*Pi*csgn(I*(x-4)/x/(2*ln(x)-x+5))^3-2*ln(2)*ln(x)+2*ln(2)*ln(x-4)+2*x^2+4*ln(x)-4*ln(x-4))/(ln(2)-2)/x","C"
2430,1,19,23,0.128000," ","int(((9*x^2+52)*exp(x)^2+(126*x^2-144*x+312)*exp(x)+81*x^2-432*x+468)/(3*exp(x)^2+18*exp(x)+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+\frac{52 x}{3}-\frac{24 x^{2}}{3+{\mathrm e}^{x}}$&$19$\\ norman&$\frac{{\mathrm e}^{x} x^{3}+52 x -24 x^{2}+3 x^{3}+\frac{52 \,{\mathrm e}^{x} x}{3}}{3+{\mathrm e}^{x}}$&$33$\\ \hline \end{longtable}"," ",0,"x^3+52/3*x-24*x^2/(3+exp(x))","A"
2431,1,23,29,0.025000," ","int(((2*x^2-x+1)*ln(x)-2*x^4+3*x^3-6*x^2+3*x-4)/(x*ln(x)-x^3+x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-x +\ln \left(x \right)-\ln \left(-x^{2}+\ln \left(x \right)+x -3\right)$&$23$\\ norman&$x^{2}+\ln \left(x \right)-x -\ln \left(x^{2}-x -\ln \left(x \right)+3\right)$&$25$\\ \hline \end{longtable}"," ",0,"x^2-x+ln(x)-ln(-x^2+ln(x)+x-3)","A"
2432,1,17,18,0.109000," ","int(((-8*x^2-12)*ln(5)-24*x^2-36)*exp((2*ln(5)+6)/x^3/exp(x^2))^2/x^4/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{4 \left(\ln \left(5\right)+3\right) {\mathrm e}^{-x^{2}}}{x^{3}}}$&$17$\\ norman&${\mathrm e}^{\frac{2 \left(2 \ln \left(5\right)+6\right) {\mathrm e}^{-x^{2}}}{x^{3}}}$&$20$\\ \hline \end{longtable}"," ",0,"exp(4*(ln(5)+3)*exp(-x^2)/x^3)","A"
2433,1,54,28,0.100000," ","int(1/4*(-4*x^2*exp(x)*ln(x)^2+((16*x^2*ln(2)-8*x)*exp(x)+2*x)*ln(x)+(-16*x^2*ln(2)^2+16*x*ln(2)-24*x^2+36*x-36)*exp(x)-4*x*ln(2)+9)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-4 \,{\mathrm e}^{x}+1\right) \ln \left(x \right)^{2}}{4}+4 \ln \left(2\right) {\mathrm e}^{x} \ln \left(x \right)-\frac{16 x \ln \left(2\right)^{2} {\mathrm e}^{x}+4 x \ln \left(2\right) \ln \left(x \right)+24 \,{\mathrm e}^{x} x -36 \,{\mathrm e}^{x}+9}{4 x}$&$54$\\ norman&$\frac{-\frac{9}{4}-x \ln \left(2\right) \ln \left(x \right)+\left(-4 \ln \left(2\right)^{2}-6\right) x \,{\mathrm e}^{x}+\frac{x \ln \left(x \right)^{2}}{4}-x \,{\mathrm e}^{x} \ln \left(x \right)^{2}+4 x \ln \left(2\right) {\mathrm e}^{x} \ln \left(x \right)+9 \,{\mathrm e}^{x}}{x}$&$55$\\ default&$\frac{\left(-16 \ln \left(2\right)^{2}-24\right) x \,{\mathrm e}^{x}-4 x \,{\mathrm e}^{x} \ln \left(x \right)^{2}+16 x \ln \left(2\right) {\mathrm e}^{x} \ln \left(x \right)+36 \,{\mathrm e}^{x}}{4 x}-\ln \left(2\right) \ln \left(x \right)-\frac{9}{4 x}+\frac{\ln \left(x \right)^{2}}{4}$&$59$\\ \hline \end{longtable}"," ",0,"1/4*(-4*exp(x)+1)*ln(x)^2+4*ln(2)*exp(x)*ln(x)-1/4*(16*x*ln(2)^2*exp(x)+4*x*ln(2)*ln(x)+24*exp(x)*x-36*exp(x)+9)/x","A"
2434,1,20,21,0.061000," ","int(((2*x-1)*ln(x^2)^6+(-18*x+9)*ln(x^2)^4+(54*x-27)*ln(x^2)^2+(-8*x+8)*ln(x^2)-54*x+27)/((x^2-x)*ln(x^2)^6+(-9*x^2+9*x)*ln(x^2)^4+(27*x^2-27*x)*ln(x^2)^2-27*x^2+27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x^{2}-x \right)+\frac{1}{\left(\ln \left(x^{2}\right)^{2}-3\right)^{2}}$&$20$\\ norman&$\frac{-3 \ln \left(x^{2}\right)^{3}+\frac{\ln \left(x^{2}\right)^{5}}{2}+\frac{9 \ln \left(x^{2}\right)}{2}+1}{\left(\ln \left(x^{2}\right)^{2}-3\right)^{2}}+\ln \left(x -1\right)$&$41$\\ \hline \end{longtable}"," ",0,"ln(x^2-x)+1/(ln(x^2)^2-3)^2","A"
2435,1,12,11,0.038000," ","int(1/3*(x^2+x)*ln(5)*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{2} \ln \left(5\right) {\mathrm e}^{2 x}}{6}$&$12$\\ default&$\frac{x^{2} \ln \left(5\right) {\mathrm e}^{2 x}}{6}$&$12$\\ norman&$\frac{x^{2} \ln \left(5\right) {\mathrm e}^{2 x}}{6}$&$12$\\ risch&$\frac{x^{2} \ln \left(5\right) {\mathrm e}^{2 x}}{6}$&$12$\\ meijerg&$-\frac{\ln \left(5\right) \left(2-\frac{\left(12 x^{2}-12 x +6\right) {\mathrm e}^{2 x}}{3}\right)}{24}+\frac{\ln \left(5\right) \left(1-\frac{\left(-4 x +2\right) {\mathrm e}^{2 x}}{2}\right)}{12}$&$41$\\ \hline \end{longtable}"," ",0,"1/6*x^2*ln(5)*exp(x)^2","A"
2436,1,22,22,0.065000," ","int(((x*exp(4)+16*x)*ln(x)^2+(-2*x^3*exp(4)-32*x^3)*ln(x)+(x^5+10*x^2-5)*exp(4)+16*x^5)/(16*x*ln(x)^2-32*x^3*ln(x)+16*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{4}}{16}+x -\frac{5 \,{\mathrm e}^{4}}{16 \left(x^{2}-\ln \left(x \right)\right)}$&$22$\\ norman&$\frac{\left(\frac{{\mathrm e}^{4}}{16}+1\right) x^{3}+\left(-\frac{{\mathrm e}^{4}}{16}-1\right) x \ln \left(x \right)-\frac{5 \,{\mathrm e}^{4}}{16}}{x^{2}-\ln \left(x \right)}$&$37$\\ \hline \end{longtable}"," ",0,"1/16*x*exp(4)+x-5/16*exp(4)/(x^2-ln(x))","A"
2437,1,26,21,0.023000," ","int(1/4*((-100*x^3-300*x^2-125*x+850)*exp(x)+100*x-200)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{25-25 x -75 \,{\mathrm e}^{x} x -25 \,{\mathrm e}^{x} x^{2}-\frac{425 \,{\mathrm e}^{x}}{4}}{x^{2}}$&$26$\\ risch&$\frac{-100 x +100}{4 x^{2}}-\frac{25 \left(4 x^{2}+12 x +17\right) {\mathrm e}^{x}}{4 x^{2}}$&$29$\\ default&$\frac{25}{x^{2}}-\frac{25}{x}-\frac{425 \,{\mathrm e}^{x}}{4 x^{2}}-\frac{75 \,{\mathrm e}^{x}}{x}-25 \,{\mathrm e}^{x}$&$30$\\ \hline \end{longtable}"," ",0,"(25-25*x-75*exp(x)*x-25*exp(x)*x^2-425/4*exp(x))/x^2","A"
2438,1,31,28,0.081000," ","int((2*(4*x^6+4*x^5+12*x^4+12*x^3+2*x^2+x)*ln(2)*exp(x^4+6*x^2+9)-x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\ln \left(x \right)+\left(2 x^{2} \ln \left(2\right)+2 x \ln \left(2\right)\right) {\mathrm e}^{\left(x^{2}+3\right)^{2}}$&$31$\\ norman&$-x +2 \ln \left(2\right) {\mathrm e}^{x^{4}+6 x^{2}+9} x +2 \ln \left(2\right) {\mathrm e}^{x^{4}+6 x^{2}+9} x^{2}-\ln \left(x \right)$&$43$\\ \hline \end{longtable}"," ",0,"-x-ln(x)+(2*x^2*ln(2)+2*x*ln(2))*exp((x^2+3)^2)","A"
2439,1,32,29,0.090000," ","int(((-x^4-5*x^3+5*x+25)*ln((-x^3+5)/x)^2+(4*x^4-20*x^3+10*x-50)*ln((-x^3+5)/x)-14*x^6+210*x^5-1050*x^4+1820*x^3-1050*x^2+5250*x-8750)/(12*x^6-180*x^5+900*x^4-1560*x^3+900*x^2-4500*x+7500),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\frac{-x^{3}+5}{x}\right)^{2} x}{12 x^{2}-120 x +300}-\frac{7 x}{6}$&$32$\\ norman&$\frac{\frac{175 x}{2}-\frac{7 x^{3}}{6}+\frac{\ln \left(\frac{-x^{3}+5}{x}\right)^{2} x}{12}-\frac{875}{3}}{\left(x -5\right)^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"1/12*x/(x^2-10*x+25)*ln((-x^3+5)/x)^2-7/6*x","A"
2440,1,22,18,0.231000," ","int((40*exp(5)-200*x^2+550*x)/((32*x^3-528*x^2+2904*x-5324)*exp(5)^2+(-160*x^5+2640*x^4-14520*x^3+26620*x^2)*exp(5)+200*x^7-3300*x^6+18150*x^5-33275*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{5}{\left(2 x -11\right)^{2} \left(-5 x^{2}+2 \,{\mathrm e}^{5}\right)}$&$22$\\ risch&$-\frac{5}{8 \left(-\frac{5 x^{4}}{2}+x^{2} {\mathrm e}^{5}+\frac{55 x^{3}}{2}-11 x \,{\mathrm e}^{5}-\frac{605 x^{2}}{8}+\frac{121 \,{\mathrm e}^{5}}{4}\right)}$&$36$\\ gosper&$-\frac{5}{-20 x^{4}+8 x^{2} {\mathrm e}^{5}+220 x^{3}-88 x \,{\mathrm e}^{5}-605 x^{2}+242 \,{\mathrm e}^{5}}$&$37$\\ default&$-\frac{10 \left(\frac{275 \left(7086244000 \,{\mathrm e}^{10}-2048 \,{\mathrm e}^{5} {\mathrm e}^{20}+619520 \,{\mathrm e}^{5} {\mathrm e}^{15}-70276800 \,{\mathrm e}^{5} {\mathrm e}^{10}-133974300625 \,{\mathrm e}^{5}+619520 \,{\mathrm e}^{20}-70276800 \,{\mathrm e}^{15}-2048 \,{\mathrm e}^{25}\right) {\mathrm e}^{-5} x +4019229018750 \,{\mathrm e}^{5}+9292800 \,{\mathrm e}^{20}-468512000 \,{\mathrm e}^{15}-40960 \,{\mathrm e}^{25}-35431220000 \,{\mathrm e}^{10}-\frac{405272259390625}{4}}{-\frac{5 x^{2}}{2}+{\mathrm e}^{5}}-880 \left(-128 \,{\mathrm e}^{5} {\mathrm e}^{20}+38720 \,{\mathrm e}^{5} {\mathrm e}^{15}-4392300 \,{\mathrm e}^{5} {\mathrm e}^{10}-38720 \,{\mathrm e}^{20}+4392300 \,{\mathrm e}^{15}+128 \,{\mathrm e}^{25}\right) {\mathrm e}^{-5} \sqrt{10}\, {\mathrm e}^{-\frac{5}{2}} \arctanh \left(\frac{x \sqrt{10}\, {\mathrm e}^{-\frac{5}{2}}}{2}\right)\right)}{\left(-366025+9680 \,{\mathrm e}^{5}-64 \,{\mathrm e}^{10}\right)^{3}}-\frac{5 \left(3117947360000 \,{\mathrm e}^{5}-1802240 \,{\mathrm e}^{20}+545177600 \,{\mathrm e}^{15}-61843584000 \,{\mathrm e}^{10}-58948692275000\right)}{\left(-366025+9680 \,{\mathrm e}^{5}-64 \,{\mathrm e}^{10}\right)^{3} \left(2 x -11\right)}-\frac{5 \left(-42871776200000 \,{\mathrm e}^{5}+99123200 \,{\mathrm e}^{20}-14992384000 \,{\mathrm e}^{15}+1133799040000 \,{\mathrm e}^{10}-262144 \,{\mathrm e}^{25}+648435615025000\right)}{2 \left(-366025+9680 \,{\mathrm e}^{5}-64 \,{\mathrm e}^{10}\right)^{3} \left(2 x -11\right)^{2}}$&$250$\\ \hline \end{longtable}"," ",0,"-5/(2*x-11)^2/(-5*x^2+2*exp(5))","A"
2441,1,80,25,0.120000," ","int((((-20*x^3+80*x^2+100*x)*exp(x)+25*x^2-110*x-100)*exp(exp(x)*x)^4+((-300*x^3+1200*x^2+1500*x)*exp(x)+500*x^2-2200*x-2000)*exp(exp(x)*x)^3+((-1500*x^3+6000*x^2+7500*x)*exp(x)+3750*x^2-16500*x-15000)*exp(exp(x)*x)^2+((-2500*x^3+10000*x^2+12500*x)*exp(x)+12500*x^2-55000*x-50000)*exp(exp(x)*x)+15625*x^2-68750*x-62500)/x^5/exp(5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3125 \left(x -5\right) {\mathrm e}^{-5 x}}{x^{4}}-\frac{5 \left(x -5\right) {\mathrm e}^{x \left(4 \,{\mathrm e}^{x}-5\right)}}{x^{4}}-\frac{100 \left(x -5\right) {\mathrm e}^{x \left(3 \,{\mathrm e}^{x}-5\right)}}{x^{4}}-\frac{750 \left(x -5\right) {\mathrm e}^{x \left(2 \,{\mathrm e}^{x}-5\right)}}{x^{4}}-\frac{2500 \left(x -5\right) {\mathrm e}^{x \left({\mathrm e}^{x}-5\right)}}{x^{4}}$&$80$\\ \hline \end{longtable}"," ",0,"-3125*(x-5)/x^4*exp(-5*x)-5*(x-5)/x^4*exp(x*(4*exp(x)-5))-100*(x-5)/x^4*exp(x*(3*exp(x)-5))-750*(x-5)/x^4*exp(x*(2*exp(x)-5))-2500*(x-5)/x^4*exp(x*(exp(x)-5))","B"
2442,1,20,19,0.168000," ","int(1/3*((5*exp(x)*exp(exp(x))-5)*exp(5*exp(exp(x))-5*x)+6)*exp(1/3*exp(5*exp(exp(x))-5*x)+2*x-1)*exp(exp(1/3*exp(5*exp(exp(x))-5*x)+2*x-1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{5 \,{\mathrm e}^{{\mathrm e}^{x}}-5 x}}{3}+2 x -1}}$&$20$\\ \hline \end{longtable}"," ",0,"exp(exp(1/3*exp(5*exp(exp(x))-5*x)+2*x-1))","A"
2443,1,21,22,0.063000," ","int(((-4*x-1)*exp(3)-x^2-6*x+5)/(3*exp(3)^2+(-6*x^2-30)*exp(3)+3*x^4+30*x^2+75),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{3+x +2 \,{\mathrm e}^{3}}{3 \left(-x^{2}+{\mathrm e}^{3}-5\right)}$&$21$\\ default&$-\frac{3+x +2 \,{\mathrm e}^{3}}{3 \left(-x^{2}+{\mathrm e}^{3}-5\right)}$&$21$\\ norman&$\frac{-\frac{x}{3}-1-\frac{2 \,{\mathrm e}^{3}}{3}}{-x^{2}+{\mathrm e}^{3}-5}$&$22$\\ risch&$\frac{-\frac{x}{3}-1-\frac{2 \,{\mathrm e}^{3}}{3}}{-x^{2}+{\mathrm e}^{3}-5}$&$22$\\ \hline \end{longtable}"," ",0,"-1/3*(3+x+2*exp(3))/(-x^2+exp(3)-5)","A"
2444,1,38,22,0.041000," ","int(((768*x^3+5632*x^2+6400*x+1536)*ln(x+6)^2+(512*x^3+1024*x^2+512*x)*ln(x+6))/((65536*x^7+655360*x^6+1966080*x^5+2621440*x^4+1638400*x^3+393216*x^2)*ln(x+6)^4+(-512*x^4-4096*x^3-6656*x^2-3072*x)*ln(x+6)^2+x+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{256 \ln \left(x +6\right)^{2} x^{3}+512 x^{2} \ln \left(x +6\right)^{2}+256 \ln \left(x +6\right)^{2} x -1}$&$38$\\ \hline \end{longtable}"," ",0,"-1/(256*ln(x+6)^2*x^3+512*x^2*ln(x+6)^2+256*ln(x+6)^2*x-1)","A"
2445,1,19,19,0.022000," ","int(1/3*((-50*x^2*exp(x^2)-25*x)*ln(2*x)^2-9)/x/ln(2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{25 x}{3}+\frac{3}{\ln \left(2 x \right)}-\frac{25 \,{\mathrm e}^{x^{2}}}{3}$&$19$\\ risch&$-\frac{25 x}{3}+\frac{3}{\ln \left(2 x \right)}-\frac{25 \,{\mathrm e}^{x^{2}}}{3}$&$19$\\ norman&$\frac{3-\frac{25 x \ln \left(2 x \right)}{3}-\frac{25 \,{\mathrm e}^{x^{2}} \ln \left(2 x \right)}{3}}{\ln \left(2 x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"-25/3*x+3/ln(2*x)-25/3*exp(x^2)","A"
2446,0,0,17,0.036000," ","int(1/48*(-x^(1/4)*exp(x^(1/4)-4)-12*x*ln(3))*exp(-1/3*exp(x^(1/4)-4)-x*ln(3))/x,x)","\[\int \frac{\left(-x^{\frac{1}{4}} {\mathrm e}^{x^{\frac{1}{4}}-4}-12 x \ln \left(3\right)\right) {\mathrm e}^{-\frac{{\mathrm e}^{x^{\frac{1}{4}}-4}}{3}-x \ln \left(3\right)}}{48 x}\, dx\]"," ",0,"int(1/48*(-x^(1/4)*exp(x^(1/4)-4)-12*x*ln(3))*exp(-1/3*exp(x^(1/4)-4)-x*ln(3))/x,x)","F"
2447,1,18,19,0.039000," ","int((-64*x^2+128*x+32)*exp(-x^2+4*x+2)/(32*x*exp(-x^2+4*x+2)-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(32 x \,{\mathrm e}^{-x^{2}+4 x +2}-3\right)$&$18$\\ risch&$\ln \left(x \right)-2+\ln \left({\mathrm e}^{-x^{2}+4 x +2}-\frac{3}{32 x}\right)$&$23$\\ \hline \end{longtable}"," ",0,"ln(32*x*exp(-x^2+4*x+2)-3)","A"
2448,1,18,16,0.115000," ","int(((-5*x-30)*ln(x+6)-5*x)/((x^3+6*x^2)*ln(x+6)^2+((-4*x^2-24*x)*ln(2)+6*x^2+36*x)*ln(x+6)+(4*x+24)*ln(2)^2+(-12*x-72)*ln(2)+9*x+54),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{5}{-x \ln \left(x +6\right)+2 \ln \left(2\right)-3}$&$18$\\ risch&$-\frac{5}{-x \ln \left(x +6\right)+2 \ln \left(2\right)-3}$&$18$\\ \hline \end{longtable}"," ",0,"-5/(-x*ln(x+6)+2*ln(2)-3)","A"
2449,1,24,24,0.063000," ","int((6*ln(ln(5))*exp(3*exp(exp(2))+3)-20*x)/x^4/ln(ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{10 x}{\ln \left(\ln \left(5\right)\right)}-2 \,{\mathrm e}^{3 \,{\mathrm e}^{{\mathrm e}^{2}}} {\mathrm e}^{3}}{x^{3}}$&$24$\\ gosper&$-\frac{2 \left(\ln \left(\ln \left(5\right)\right) {\mathrm e}^{3 \,{\mathrm e}^{{\mathrm e}^{2}}+3}-5 x \right)}{\ln \left(\ln \left(5\right)\right) x^{3}}$&$27$\\ risch&$\frac{-2 \ln \left(\ln \left(5\right)\right) {\mathrm e}^{3 \,{\mathrm e}^{{\mathrm e}^{2}}+3}+10 x}{\ln \left(\ln \left(5\right)\right) x^{3}}$&$27$\\ default&$\frac{-\frac{2 \ln \left(\ln \left(5\right)\right) {\mathrm e}^{3 \,{\mathrm e}^{{\mathrm e}^{2}}+3}}{x^{3}}+\frac{10}{x^{2}}}{\ln \left(\ln \left(5\right)\right)}$&$30$\\ \hline \end{longtable}"," ",0,"(10*x/ln(ln(5))-2*exp(exp(exp(2)))^3*exp(3))/x^3","A"
2450,1,15,16,0.086000," ","int(((-10*x^2+90*x-180)*exp((x^2-6*x+9)/x^4)+x^5)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +5 \,{\mathrm e}^{\frac{\left(x -3\right)^{2}}{x^{4}}}$&$15$\\ norman&$\frac{x^{5}+5 x^{4} {\mathrm e}^{\frac{x^{2}-6 x +9}{x^{4}}}}{x^{4}}$&$27$\\ \hline \end{longtable}"," ",0,"x+5*exp((x-3)^2/x^4)","A"
2451,1,28,31,0.140000," ","int(((-100*ln(2)^2*exp(x)^2-160*x*ln(2)*exp(x)-64*x^2)*exp(4*x)-50*x*ln(2)^2*exp(x)^2+(-80*x^2-3*x+3)*ln(2)*exp(x)-32*x^3)/(25*ln(2)^2*exp(x)^2+40*x*ln(2)*exp(x)+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{4 x}-x^{2}+\frac{3 x}{5 \left(5 \,{\mathrm e}^{x} \ln \left(2\right)+4 x \right)}$&$28$\\ norman&$\frac{-\frac{3 \,{\mathrm e}^{x} \ln \left(2\right)}{4}-4 x^{3}-4 x \,{\mathrm e}^{4 x}-5 \ln \left(2\right) {\mathrm e}^{5 x}-5 x^{2} \ln \left(2\right) {\mathrm e}^{x}}{5 \,{\mathrm e}^{x} \ln \left(2\right)+4 x}$&$50$\\ \hline \end{longtable}"," ",0,"-exp(4*x)-x^2+3/5*x/(5*exp(x)*ln(2)+4*x)","A"
2452,1,18,15,0.112000," ","int((6*x-31)*exp(6/31*x+54/31)/(31*x*exp(6/31*x+54/31)-465*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)-\frac{54}{31}+\ln \left({\mathrm e}^{\frac{6 x}{31}+\frac{54}{31}}-15 x \right)$&$18$\\ norman&$-\ln \left(x \right)+\ln \left(15 x -{\mathrm e}^{\frac{6 x}{31}+\frac{54}{31}}\right)$&$19$\\ \hline \end{longtable}"," ",0,"-ln(x)-54/31+ln(exp(6/31*x+54/31)-15*x)","A"
2453,1,90,22,0.108000," ","int((((80*x+20)*exp(x)^4+(240*x^2-80*x-80)*exp(x)^3+(240*x^3-40*x^2-160*x+120)*exp(x)^2+(80*x^4+160*x^3-320*x^2+240*x-80)*exp(x)+100*x^4-160*x^3+180*x^2-80*x+20)*ln(x)+(80*x-20)*exp(x)^4+(240*x^2-240*x+80)*exp(x)^3+(240*x^3-280*x^2+240*x-120)*exp(x)^2+(80*x^4-80*x+80)*exp(x)+60*x^4-80*x^3+60*x^2-20)/(ln(x)^3+3*ln(x)^2+3*ln(x)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{20 x \left(x^{4}+4 \,{\mathrm e}^{x} x^{3}+6 \,{\mathrm e}^{2 x} x^{2}+4 x \,{\mathrm e}^{3 x}+{\mathrm e}^{4 x}-2 x^{3}-8 \,{\mathrm e}^{x} x^{2}-10 x \,{\mathrm e}^{2 x}-4 \,{\mathrm e}^{3 x}+3 x^{2}+8 \,{\mathrm e}^{x} x +6 \,{\mathrm e}^{2 x}-2 x -4 \,{\mathrm e}^{x}+1\right)}{\left(\ln \left(x \right)+1\right)^{2}}$&$90$\\ \hline \end{longtable}"," ",0,"20*x*(x^4+4*exp(x)*x^3+6*exp(2*x)*x^2+4*x*exp(3*x)+exp(4*x)-2*x^3-8*exp(x)*x^2-10*x*exp(2*x)-4*exp(3*x)+3*x^2+8*exp(x)*x+6*exp(2*x)-2*x-4*exp(x)+1)/(ln(x)+1)^2","B"
2454,1,34,24,0.059000," ","int((250*x^9-3200*x^7+14400*x^5-25600*x^3+12800*x)/(32*ln(2)^5+25*x^10-400*x^8+2400*x^6-6400*x^4+6400*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(32 \ln \left(2\right)^{5}+25 x^{10}-400 x^{8}+2400 x^{6}-6400 x^{4}+6400 x^{2}\right)$&$34$\\ default&$\ln \left(32 \ln \left(2\right)^{5}+25 x^{10}-400 x^{8}+2400 x^{6}-6400 x^{4}+6400 x^{2}\right)$&$34$\\ norman&$\ln \left(32 \ln \left(2\right)^{5}+25 x^{10}-400 x^{8}+2400 x^{6}-6400 x^{4}+6400 x^{2}\right)$&$34$\\ risch&$\ln \left(32 \ln \left(2\right)^{5}+25 x^{10}-400 x^{8}+2400 x^{6}-6400 x^{4}+6400 x^{2}\right)$&$34$\\ \hline \end{longtable}"," ",0,"ln(32*ln(2)^5+25*x^10-400*x^8+2400*x^6-6400*x^4+6400*x^2)","A"
2455,1,44,32,0.058000," ","int((((-x^6-10*x^3-25)*ln(x)-x^6-10*x^3-25)*ln(ln(3))+(15*x^4*exp(5)-x^8-10*x^5-25*x^2)*ln(x)+(5*x^4+25*x)*exp(5)+x^8+10*x^5+25*x^2)/(x^8+10*x^5+25*x^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{5}-x^{3} \ln \left(\ln \left(3\right)\right)+5 x \,{\mathrm e}^{5}+5 x^{2}-5 \ln \left(\ln \left(3\right)\right)}{x \left(x^{3}+5\right) \ln \left(x \right)}$&$44$\\ \hline \end{longtable}"," ",0,"-1/x*(x^5-x^3*ln(ln(3))+5*x*exp(5)+5*x^2-5*ln(ln(3)))/(x^3+5)/ln(x)","A"
2456,1,16,22,0.023000," ","int((1562500*x^3-12395625*x^2+24559829*x-5764801)/(390625*x^3-3001250*x^2+5764801*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x +\frac{2401}{625 \left(x -\frac{2401}{625}\right)}-\ln \left(x \right)$&$16$\\ default&$4 x -\ln \left(x \right)+\frac{2401}{625 x -2401}$&$18$\\ norman&$\frac{2500 x^{2}-\frac{21558579}{625}}{625 x -2401}-\ln \left(x \right)$&$21$\\ \hline \end{longtable}"," ",0,"4*x+2401/625/(x-2401/625)-ln(x)","A"
2457,1,34,25,0.231000," ","int(((-2*x^3+2*x^2+16*x+32)*ln(2)*ln((-x^3+x^2+8*x+16)/x^2)+(x^3+8*x+32)*ln(2)+3*x^5+24*x^3+96*x^2)/((x^4-x^3-8*x^2-16*x)*ln(2)+3*x^6-3*x^5-24*x^4-48*x^3)/ln((-x^3+x^2+8*x+16)/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(\frac{-x^{3}+x^{2}+8 x +16}{x^{2}}\right)\right)-2 \ln \left(x \right)+\ln \left(3 x^{2}+\ln \left(2\right)\right)$&$34$\\ norman&$\ln \left(\ln \left(\frac{-x^{3}+x^{2}+8 x +16}{x^{2}}\right)\right)-2 \ln \left(x \right)+\ln \left(3 x^{2}+\ln \left(2\right)\right)$&$34$\\ risch&$\ln \left(\ln \left(\frac{-x^{3}+x^{2}+8 x +16}{x^{2}}\right)\right)-2 \ln \left(x \right)+\ln \left(3 x^{2}+\ln \left(2\right)\right)$&$34$\\ \hline \end{longtable}"," ",0,"ln(ln((-x^3+x^2+8*x+16)/x^2))-2*ln(x)+ln(3*x^2+ln(2))","A"
2458,1,28,30,0.032000," ","int(1/225*((-675*x^4+450*x^2+200)*exp(4/25*x^2)+8*x^4-32*x^3-25*x^2)/x^2/exp(4/25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\frac{8}{9 x}-x^{3}+\frac{\left(-25 x +100\right) {\mathrm e}^{-\frac{4 x^{2}}{25}}}{225}$&$28$\\ default&$2 x -\frac{8}{9 x}-x^{3}+\frac{4 \,{\mathrm e}^{-\frac{4 x^{2}}{25}}}{9}-\frac{x \,{\mathrm e}^{-\frac{4 x^{2}}{25}}}{9}$&$34$\\ norman&$\frac{\left(\frac{4 x}{9}-\frac{x^{2}}{9}+2 x^{2} {\mathrm e}^{\frac{4 x^{2}}{25}}-{\mathrm e}^{\frac{4 x^{2}}{25}} x^{4}-\frac{8 \,{\mathrm e}^{\frac{4 x^{2}}{25}}}{9}\right) {\mathrm e}^{-\frac{4 x^{2}}{25}}}{x}$&$52$\\ \hline \end{longtable}"," ",0,"2*x-8/9/x-x^3+1/225*(-25*x+100)*exp(-4/25*x^2)","A"
2459,1,20,21,0.027000," ","int((-130050*x^2*exp(x)*exp(1-exp(x))^2+2*x^3-x^2-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x}+65025 \,{\mathrm e}^{-2 \,{\mathrm e}^{x}+2}+x^{2}-x$&$20$\\ default&$x^{2}-x +\frac{1}{x}+65025 \,{\mathrm e}^{2} {\mathrm e}^{-2 \,{\mathrm e}^{x}}$&$22$\\ norman&$\frac{1+x^{3}-x^{2}+65025 x \,{\mathrm e}^{-2 \,{\mathrm e}^{x}+2}}{x}$&$27$\\ \hline \end{longtable}"," ",0,"1/x+65025*exp(-2*exp(x)+2)+x^2-x","A"
2460,1,16,19,0.728000," ","int((3*ln(5/3)-4*x)/((3*x-1)*ln(5/3)-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\left(3 x -1\right) \ln \left(\frac{5}{3}\right)-2 x^{2}\right)$&$16$\\ default&$\ln \left(3 \ln \left(\frac{5}{3}\right) x -2 x^{2}-\ln \left(\frac{5}{3}\right)\right)$&$17$\\ norman&$\ln \left(3 \ln \left(\frac{5}{3}\right) x -2 x^{2}-\ln \left(\frac{5}{3}\right)\right)$&$17$\\ risch&$\ln \left(2 x^{2}+\left(3 \ln \left(3\right)-3 \ln \left(5\right)\right) x +\ln \left(5\right)-\ln \left(3\right)\right)$&$25$\\ \hline \end{longtable}"," ",0,"ln((3*x-1)*ln(5/3)-2*x^2)","A"
2461,1,12,12,0.395000," ","int((-x*ln(x)+32*ln(2)-x)/(32*x*ln(2)-x^2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-32 \ln \left(2\right)+x \right)+\ln \left(\ln \left(x \right)\right)$&$12$\\ default&$\ln \left(\ln \left(x \right)\right)+\ln \left(32 \ln \left(2\right)-x \right)$&$14$\\ norman&$\ln \left(\ln \left(x \right)\right)+\ln \left(32 \ln \left(2\right)-x \right)$&$14$\\ \hline \end{longtable}"," ",0,"ln(-32*ln(2)+x)+ln(ln(x))","A"
2462,1,21,23,0.163000," ","int((50*x^3*ln(2*x)-50*x^3*ln(x)+120*x^2)/(25*x^2*ln(2*x)^2+(-50*x^2*ln(x)+50*x^4+80*x)*ln(2*x)+25*x^2*ln(x)^2+(-50*x^4-80*x)*ln(x)+25*x^6+80*x^3+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-\frac{8}{5}-x \ln \left(2\right)}{x^{3}+x \ln \left(2\right)+\frac{8}{5}}$&$21$\\ risch&$\frac{-2 i x \ln \left(2\right)-\frac{16 i}{5}}{2 i x^{3}+2 i x \ln \left(2\right)+\frac{16 i}{5}}$&$28$\\ \hline \end{longtable}"," ",0,"10*(-4/25-1/10*x*ln(2))/(x^3+x*ln(2)+8/5)","A"
2463,1,16,19,0.080000," ","int((3*x^2*exp(2*ln(2)+x+1)^2-2*x-1)/x^2/exp(2*ln(2)+x+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x +\frac{{\mathrm e}^{-2 x -2}}{16 x}$&$16$\\ norman&$\frac{\left(1+48 x^{2} {\mathrm e}^{2 x +2}\right) {\mathrm e}^{-2 x -2}}{16 x}$&$32$\\ derivativedivides&$-\frac{{\mathrm e}^{-4 \ln \left(2\right)-2 x -2}}{x}+6 \ln \left(2\right)+3 x +3+\frac{2 \,{\mathrm e}^{-4 \ln \left(2\right)-2 x -2} \left(1+2 \ln \left(2\right)\right)}{x}-\frac{4 \ln \left(2\right) {\mathrm e}^{-4 \ln \left(2\right)-2 x -2}}{x}$&$63$\\ default&$-\frac{{\mathrm e}^{-4 \ln \left(2\right)-2 x -2}}{x}+6 \ln \left(2\right)+3 x +3+\frac{2 \,{\mathrm e}^{-4 \ln \left(2\right)-2 x -2} \left(1+2 \ln \left(2\right)\right)}{x}-\frac{4 \ln \left(2\right) {\mathrm e}^{-4 \ln \left(2\right)-2 x -2}}{x}$&$63$\\ \hline \end{longtable}"," ",0,"3*x+1/16/x*exp(-2*x-2)","A"
2464,1,16,22,0.033000," ","int((4*exp(5/4)^2+4*x^3+6*x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x +6 \ln \left(x \right)-\frac{2 \,{\mathrm e}^{\frac{5}{2}}}{x^{2}}$&$16$\\ risch&$4 x +6 \ln \left(x \right)-\frac{2 \,{\mathrm e}^{\frac{5}{2}}}{x^{2}}$&$16$\\ norman&$\frac{4 x^{3}-2 \,{\mathrm e}^{\frac{5}{2}}}{x^{2}}+6 \ln \left(x \right)$&$22$\\ \hline \end{longtable}"," ",0,"4*x+6*ln(x)-2*exp(5/2)/x^2","A"
2465,1,21,18,0.450000," ","int(((x-3)*ln((-4*x+12)*exp(x^12+6*x^6+9))+12*x^13-36*x^12+36*x^7-108*x^6+x)/(x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(\left(-4 x +12\right) {\mathrm e}^{x^{12}+6 x^{6}+9}\right)$&$21$\\ risch&$x \ln \left({\mathrm e}^{\left(x^{6}+3\right)^{2}}\right)+\ln \left(x -3\right) x -i x \pi  \mathrm{csgn}\left(i \left(x -3\right) {\mathrm e}^{\left(x^{6}+3\right)^{2}}\right)^{2}-\frac{i x \pi  \,\mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x^{6}+3\right)^{2}}\right) \mathrm{csgn}\left(i \left(x -3\right) {\mathrm e}^{\left(x^{6}+3\right)^{2}}\right)}{2}+\frac{i x \pi  \,\mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(i \left(x -3\right) {\mathrm e}^{\left(x^{6}+3\right)^{2}}\right)^{2}}{2}+\frac{i x \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\left(x^{6}+3\right)^{2}}\right) \mathrm{csgn}\left(i \left(x -3\right) {\mathrm e}^{\left(x^{6}+3\right)^{2}}\right)^{2}}{2}+\frac{i x \pi  \mathrm{csgn}\left(i \left(x -3\right) {\mathrm e}^{\left(x^{6}+3\right)^{2}}\right)^{3}}{2}+i x \pi +2 x \ln \left(2\right)$&$175$\\ \hline \end{longtable}"," ",0,"x*ln((-4*x+12)*exp(x^12+6*x^6+9))","A"
2466,1,41,18,0.129000," ","int((-x^8+x^7-2*x^5+2*x^4+40*x^3-x^2+x+10)*exp((-x^5+4*x^4-x^2+4*x-10)/(x^4+x))*exp(x*exp((-x^5+4*x^4-x^2+4*x-10)/(x^4+x)))/(x^7+2*x^4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x \,{\mathrm e}^{-\frac{x^{5}-4 x^{4}+x^{2}-4 x +10}{x \left(x +1\right) \left(x^{2}-x +1\right)}}}$&$41$\\ \hline \end{longtable}"," ",0,"exp(x*exp(-(x^5-4*x^4+x^2-4*x+10)/x/(x+1)/(x^2-x+1)))","B"
2467,1,12,11,0.023000," ","int(1/8*(-1125*ln(2*x)^2+1125*ln(2*x))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{1125 \ln \left(2 x \right)^{2}}{16 x^{2}}$&$12$\\ default&$\frac{1125 \ln \left(2 x \right)^{2}}{16 x^{2}}$&$12$\\ norman&$\frac{1125 \ln \left(2 x \right)^{2}}{16 x^{2}}$&$12$\\ risch&$\frac{1125 \ln \left(2 x \right)^{2}}{16 x^{2}}$&$12$\\ \hline \end{longtable}"," ",0,"1125/16/x^2*ln(2*x)^2","A"
2468,0,0,55,180.000000," ","int(1/16384*((-exp(4)^4+(x^3-9*x-16)*exp(4)^3+(3*x^6+12*x^3-27*x^2-108*x-96)*exp(4)^2+(-5*x^9+27*x^7+24*x^6-27*x^5+21*x^3-216*x^2-432*x-256)*exp(4)+2*x^12-18*x^10-20*x^9+54*x^8+108*x^7-6*x^6-108*x^5-44*x^3-432*x^2-576*x-256)*exp(1/65536*(exp(4)^4+(-4*x^3+12*x+16)*exp(4)^3+(6*x^6-36*x^4-48*x^3+54*x^2+144*x+96)*exp(4)^2+(-4*x^9+36*x^7+48*x^6-108*x^5-288*x^4-84*x^3+432*x^2+576*x+256)*exp(4)+x^12-12*x^10-16*x^9+54*x^8+144*x^7-12*x^6-432*x^5-495*x^4+176*x^3+864*x^2+768*x+256)/x^4)+16384*x^5)/x^5,x)","\[\int \frac{\left(-{\mathrm e}^{16}+\left(x^{3}-9 x -16\right) {\mathrm e}^{12}+\left(3 x^{6}+12 x^{3}-27 x^{2}-108 x -96\right) {\mathrm e}^{8}+\left(-5 x^{9}+27 x^{7}+24 x^{6}-27 x^{5}+21 x^{3}-216 x^{2}-432 x -256\right) {\mathrm e}^{4}+2 x^{12}-18 x^{10}-20 x^{9}+54 x^{8}+108 x^{7}-6 x^{6}-108 x^{5}-44 x^{3}-432 x^{2}-576 x -256\right) {\mathrm e}^{\frac{{\mathrm e}^{16}+\left(-4 x^{3}+12 x +16\right) {\mathrm e}^{12}+\left(6 x^{6}-36 x^{4}-48 x^{3}+54 x^{2}+144 x +96\right) {\mathrm e}^{8}+\left(-4 x^{9}+36 x^{7}+48 x^{6}-108 x^{5}-288 x^{4}-84 x^{3}+432 x^{2}+576 x +256\right) {\mathrm e}^{4}+x^{12}-12 x^{10}-16 x^{9}+54 x^{8}+144 x^{7}-12 x^{6}-432 x^{5}-495 x^{4}+176 x^{3}+864 x^{2}+768 x +256}{65536 x^{4}}}+16384 x^{5}}{16384 x^{5}}\, dx\]"," ",0,"int(1/16384*((-exp(4)^4+(x^3-9*x-16)*exp(4)^3+(3*x^6+12*x^3-27*x^2-108*x-96)*exp(4)^2+(-5*x^9+27*x^7+24*x^6-27*x^5+21*x^3-216*x^2-432*x-256)*exp(4)+2*x^12-18*x^10-20*x^9+54*x^8+108*x^7-6*x^6-108*x^5-44*x^3-432*x^2-576*x-256)*exp(1/65536*(exp(4)^4+(-4*x^3+12*x+16)*exp(4)^3+(6*x^6-36*x^4-48*x^3+54*x^2+144*x+96)*exp(4)^2+(-4*x^9+36*x^7+48*x^6-108*x^5-288*x^4-84*x^3+432*x^2+576*x+256)*exp(4)+x^12-12*x^10-16*x^9+54*x^8+144*x^7-12*x^6-432*x^5-495*x^4+176*x^3+864*x^2+768*x+256)/x^4)+16384*x^5)/x^5,x)","F"
2469,1,38,32,3.438000," ","int(((-2*x^2*exp(9)^2+2*x*exp(9)-2)*exp(((x*exp(9)-1)*ln(2)*ln(3)+x*exp(9))/(x*exp(9)-1))+2*x^2*exp(9)^2-4*x*exp(9)+2)/((x^2*exp(9)^2-2*x*exp(9)+1)*exp(((x*exp(9)-1)*ln(2)*ln(3)+x*exp(9))/(x*exp(9)-1))^2+((2*x^3-2*x^2)*exp(9)^2+(-4*x^2+4*x)*exp(9)+2*x-2)*exp(((x*exp(9)-1)*ln(2)*ln(3)+x*exp(9))/(x*exp(9)-1))+(x^4-2*x^3+x^2)*exp(9)^2+(-2*x^3+4*x^2-2*x)*exp(9)+x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x}{x +{\mathrm e}^{\frac{\ln \left(2\right) \ln \left(3\right) {\mathrm e}^{9} x -\ln \left(2\right) \ln \left(3\right)+x \,{\mathrm e}^{9}}{x \,{\mathrm e}^{9}-1}}-1}$&$38$\\ norman&$\frac{2 x -2 x^{2} {\mathrm e}^{9}}{\left(x +{\mathrm e}^{\frac{\left(x \,{\mathrm e}^{9}-1\right) \ln \left(2\right) \ln \left(3\right)+x \,{\mathrm e}^{9}}{x \,{\mathrm e}^{9}-1}}-1\right) \left(x \,{\mathrm e}^{9}-1\right)}$&$52$\\ \hline \end{longtable}"," ",0,"-2*x/(x+exp((ln(2)*ln(3)*exp(9)*x-ln(2)*ln(3)+x*exp(9))/(x*exp(9)-1))-1)","A"
2470,1,17,13,0.042000," ","int((4*exp(x)^4+(-4*x-2)*exp(x)^2+2*x)*exp(exp(x)^4-2*x*exp(x)^2+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{{\mathrm e}^{4 x}-2 x \,{\mathrm e}^{2 x}+x^{2}}$&$17$\\ risch&${\mathrm e}^{{\mathrm e}^{4 x}-2 x \,{\mathrm e}^{2 x}+x^{2}}$&$17$\\ \hline \end{longtable}"," ",0,"exp(exp(x)^4-2*x*exp(x)^2+x^2)","A"
2471,1,237,17,0.115000," ","int(((100*x^2*ln(x)*ln(ln(x))+(100*x^3-500*x^2+4)*ln(x))*ln(1/25*(25*x^2*ln(ln(x))+25*x^3-125*x^2+1)/x^2)+(100*x^3-8)*ln(x)+100*x^2)/(25*x^2*ln(x)*ln(ln(x))+(25*x^3-125*x^2+1)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \ln \left(\frac{1}{25}+x^{3}+\left(\ln \left(\ln \left(x \right)\right)-5\right) x^{2}\right)+2 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-4 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-2 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left(\frac{1}{25}+x^{3}+\left(\ln \left(\ln \left(x \right)\right)-5\right) x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{1}{25}+x^{3}+\left(\ln \left(\ln \left(x \right)\right)-5\right) x^{2}\right)}{x^{2}}\right)+2 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(\frac{1}{25}+x^{3}+\left(\ln \left(\ln \left(x \right)\right)-5\right) x^{2}\right)}{x^{2}}\right)^{2}+2 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  x \,\mathrm{csgn}\left(i \left(\frac{1}{25}+x^{3}+\left(\ln \left(\ln \left(x \right)\right)-5\right) x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{1}{25}+x^{3}+\left(\ln \left(\ln \left(x \right)\right)-5\right) x^{2}\right)}{x^{2}}\right)^{2}-2 i \pi  x \mathrm{csgn}\left(\frac{i \left(\frac{1}{25}+x^{3}+\left(\ln \left(\ln \left(x \right)\right)-5\right) x^{2}\right)}{x^{2}}\right)^{3}-8 x \ln \left(x \right)$&$237$\\ \hline \end{longtable}"," ",0,"4*x*ln(1/25+x^3+(ln(ln(x))-5)*x^2)+2*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)-4*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2-2*I*Pi*x*csgn(I/x^2)*csgn(I*(1/25+x^3+(ln(ln(x))-5)*x^2))*csgn(I/x^2*(1/25+x^3+(ln(ln(x))-5)*x^2))+2*I*Pi*x*csgn(I/x^2)*csgn(I/x^2*(1/25+x^3+(ln(ln(x))-5)*x^2))^2+2*I*Pi*x*csgn(I*x^2)^3+2*I*Pi*x*csgn(I*(1/25+x^3+(ln(ln(x))-5)*x^2))*csgn(I/x^2*(1/25+x^3+(ln(ln(x))-5)*x^2))^2-2*I*Pi*x*csgn(I/x^2*(1/25+x^3+(ln(ln(x))-5)*x^2))^3-8*x*ln(x)","C"
2472,1,12,11,0.190000," ","int((8*x-4)*ln(exp(x)^4/x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{{\mathrm e}^{4 x}}{x^{2}}\right)^{2}$&$12$\\ default&$-4 \ln \left(\frac{{\mathrm e}^{4 x}}{x^{2}}\right) \ln \left(x \right)+8 \ln \left(\frac{{\mathrm e}^{4 x}}{x^{2}}\right) x -4 \ln \left(x \right)^{2}+16 x \ln \left(x \right)-16 x^{2}$&$43$\\ risch&$4 \ln \left(x \right)^{2}-16 x^{2}+\left(32 x -16 \ln \left(x \right)\right) \ln \left({\mathrm e}^{x}\right)-4 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)-4 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{4 x}}{x^{2}}\right)-4 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{4 x}}{x^{2}}\right)+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)^{3}+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{4 x}}{x^{2}}\right)^{3}-4 i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-4 i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{3}-4 i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)^{3}-4 i \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{4 x}}{x^{2}}\right)^{3}+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{3}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)^{2}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{2}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)^{2}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{4 x}}{x^{2}}\right)^{2}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{4 x}}{x^{2}}\right)^{2}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+4 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-4 i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+8 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+4 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{2}+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-4 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{2}+4 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)^{2}+4 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{2}+4 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)^{2}+4 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{4 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{4 x}}{x^{2}}\right)^{2}+4 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{4 x}}{x^{2}}\right)^{2}-8 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)$&$805$\\ \hline \end{longtable}"," ",0,"ln(exp(x)^4/x^2)^2","A"
2473,1,109,32,0.109000," ","int(((x^3+x^2-3*x-2)*exp(x)-x^3+2*x^2+5*x-1)*exp(-ln((10*x+20)*exp(x))+2*x-exp(x))/(x^5-5*x^3+5*x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{x +\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x} \left(2+x \right)\right)^{3}}{2}-\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x} \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)}{2}-\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x} \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x} \left(2+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i \left(2+x \right)\right)}{2}-{\mathrm e}^{x}}}{10 \left(x^{2}-x -1\right) \left(2+x \right)}$&$109$\\ \hline \end{longtable}"," ",0,"-1/10/(x^2-x-1)/(2+x)*exp(x+1/2*I*Pi*csgn(I*exp(x)*(2+x))^3-1/2*I*Pi*csgn(I*exp(x)*(2+x))^2*csgn(I*exp(x))-1/2*I*Pi*csgn(I*exp(x)*(2+x))^2*csgn(I*(2+x))+1/2*I*Pi*csgn(I*exp(x)*(2+x))*csgn(I*exp(x))*csgn(I*(2+x))-exp(x))","C"
2474,1,30,23,0.401000," ","int(((8*x^5+8*x^4+24*x+24)*ln(exp(5)/(x^4+3))^2+((-2*x^5-6*x)*ln(x)-x^5-3*x)*ln(exp(5)/(x^4+3))-4*x^5*ln(x))/(4*x^4+12)/ln(exp(5)/(x^4+3))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+2 x -\frac{i x^{2} \ln \left(x \right)}{2 \left(-2 i \ln \left(x^{4}+3\right)+10 i\right)}$&$30$\\ \hline \end{longtable}"," ",0,"x^2+2*x-1/2*I*x^2*ln(x)/(-2*I*ln(x^4+3)+10*I)","C"
2475,1,15,23,0.014000," ","int(1/2*(-4*x^3+3*x^2+4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 x}{2}-x^{2}-\frac{2}{x}$&$15$\\ risch&$\frac{3 x}{2}-x^{2}-\frac{2}{x}$&$15$\\ norman&$\frac{-2+\frac{3}{2} x^{2}-x^{3}}{x}$&$17$\\ gosper&$-\frac{2 x^{3}-3 x^{2}+4}{2 x}$&$18$\\ \hline \end{longtable}"," ",0,"3/2*x-x^2-2/x","A"
2476,1,27,29,0.065000," ","int(((-4*x-10)*ln(x)^2+(31*x^2+70*x-25)*ln(x)-56*x^3-81*x^2+190*x-25)/((x^4+10*x^3+25*x^2)*ln(x)^2+(-8*x^5-80*x^4-200*x^3)*ln(x)+16*x^6+160*x^5+400*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{\left(5+x \right) x}-\frac{1}{x \left(4 x -\ln \left(x \right)\right)}$&$27$\\ norman&$\frac{-5+7 x -2 \ln \left(x \right)}{x \left(4 x^{2}-x \ln \left(x \right)+20 x -5 \ln \left(x \right)\right)}$&$34$\\ \hline \end{longtable}"," ",0,"2/(5+x)/x-1/x/(4*x-ln(x))","A"
2477,1,36,32,0.366000," ","int(((16*x^3*ln(2)*exp(x)+(-16*x^3-16*x^2)*ln(2))*exp(exp(x)+5-x)+2*x^2*exp(1)*ln(2)^2+800*x*ln(2))/(64*x^2*exp(exp(x)+5-x)^2+((-16*x^2*exp(1)-32*x^3)*ln(2)-3200*x)*exp(exp(x)+5-x)+(x^2*exp(1)^2+4*x^3*exp(1)+4*x^4)*ln(2)^2+(400*x*exp(1)+800*x^2)*ln(2)+40000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x^{2} \ln \left(2\right)}{x \,{\mathrm e} \ln \left(2\right)+2 x^{2} \ln \left(2\right)-8 \,{\mathrm e}^{{\mathrm e}^{x}+5-x} x +200}$&$36$\\ risch&$\frac{2 x^{2} \ln \left(2\right)}{x \,{\mathrm e} \ln \left(2\right)+2 x^{2} \ln \left(2\right)-8 \,{\mathrm e}^{{\mathrm e}^{x}+5-x} x +200}$&$36$\\ \hline \end{longtable}"," ",0,"2*x^2*ln(2)/(x*exp(1)*ln(2)+2*x^2*ln(2)-8*exp(exp(x)+5-x)*x+200)","A"
2478,1,22,20,0.039000," ","int((-12*exp(1)*ln(x)^2+(-12*exp(1)-8*x^3)*ln(x)-3*exp(1))/(4*x^2*ln(x)^2+4*x^2*ln(x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}}{x}-\frac{2 x^{2}}{1+2 \ln \left(x \right)}$&$22$\\ norman&$\frac{-2 x^{3}+6 \,{\mathrm e} \ln \left(x \right)+3 \,{\mathrm e}}{x \left(1+2 \ln \left(x \right)\right)}$&$29$\\ \hline \end{longtable}"," ",0,"3*exp(1)/x-2*x^2/(1+2*ln(x))","A"
2479,1,29,22,0.125000," ","int((((5*exp(5)^2+5*exp(2)+20-10*x)*ln(x)+(-5*x-25)*exp(5)^2+(-5*x-25)*exp(2)+10*x^2+30*x-100)*ln(x-ln(x)+5)+(-5*x+5)*exp(5)^2+(-5*x+5)*exp(2)+5*x^2-25*x+20)/(ln(x)-5-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(5 x \,{\mathrm e}^{10}+5 \,{\mathrm e}^{2} x -5 x^{2}+20 x \right) \ln \left(x -\ln \left(x \right)+5\right)$&$29$\\ norman&$\left(5 \,{\mathrm e}^{10}+5 \,{\mathrm e}^{2}+20\right) x \ln \left(x -\ln \left(x \right)+5\right)-5 \ln \left(x -\ln \left(x \right)+5\right) x^{2}$&$37$\\ \hline \end{longtable}"," ",0,"(5*x*exp(10)+5*exp(2)*x-5*x^2+20*x)*ln(x-ln(x)+5)","A"
2480,1,15,17,0.398000," ","int((-2*x^3+4*x^2-2)/(x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+\ln \left(x \right)-\ln \left(x -2\right)$&$15$\\ norman&$-x^{2}+\ln \left(x \right)-\ln \left(x -2\right)$&$15$\\ risch&$-x^{2}+\ln \left(x \right)-\ln \left(x -2\right)$&$15$\\ meijerg&$\ln \left(x \right)-\ln \left(2\right)+i \pi -\ln \left(1-\frac{x}{2}\right)-\frac{2 x \left(\frac{3 x}{2}+6\right)}{3}+4 x$&$31$\\ \hline \end{longtable}"," ",0,"-x^2+ln(x)-ln(x-2)","A"
2481,1,22,19,0.385000," ","int(((-98*x^2+346*x-248)*ln(x-1)-49*x^2+248*x-175)/(25*x-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-\frac{49}{25} x^{2}+\frac{248}{25} x \right) \ln \left(x -1\right)-7 \ln \left(x -1\right)$&$22$\\ norman&$-7 \ln \left(x -1\right)+\frac{248 \ln \left(x -1\right) x}{25}-\frac{49 \ln \left(x -1\right) x^{2}}{25}$&$24$\\ derivativedivides&$-\frac{49 \ln \left(x -1\right) \left(x -1\right)^{2}}{25}+6 \left(x -1\right) \ln \left(x -1\right)+\frac{24 \ln \left(x -1\right)}{25}$&$28$\\ default&$-\frac{49 \ln \left(x -1\right) \left(x -1\right)^{2}}{25}+6 \left(x -1\right) \ln \left(x -1\right)+\frac{24 \ln \left(x -1\right)}{25}$&$28$\\ \hline \end{longtable}"," ",0,"(-49/25*x^2+248/25*x)*ln(x-1)-7*ln(x-1)","A"
2482,1,28,15,0.395000," ","int(((exp(2)+2*x)*ln(exp(2)+2*x)^2+(-4*exp(2)*x-8*x^2+4*x)*ln(exp(2)+2*x)+3*x^2*exp(2)+6*x^3-4*x^2)/(exp(2)+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{3}+\ln \left({\mathrm e}^{2}+2 x \right)^{2} x -2 x^{2} \ln \left({\mathrm e}^{2}+2 x \right)$&$28$\\ risch&$x^{3}+\ln \left({\mathrm e}^{2}+2 x \right)^{2} x -2 x^{2} \ln \left({\mathrm e}^{2}+2 x \right)$&$28$\\ derivativedivides&$\frac{3 \,{\mathrm e}^{4} \left({\mathrm e}^{2}+2 x \right)}{8}+{\mathrm e}^{2} \left(\ln \left({\mathrm e}^{2}+2 x \right) \left({\mathrm e}^{2}+2 x \right)-{\mathrm e}^{2}-2 x \right)-\frac{3 \,{\mathrm e}^{2} \left({\mathrm e}^{2}+2 x \right)^{2}}{8}+\frac{\left({\mathrm e}^{2}+2 x \right) \ln \left({\mathrm e}^{2}+2 x \right)^{2}}{2}-\frac{\ln \left({\mathrm e}^{2}+2 x \right) \left({\mathrm e}^{2}+2 x \right)^{2}}{2}+\frac{\left({\mathrm e}^{2}+2 x \right)^{3}}{8}-\frac{{\mathrm e}^{4} \ln \left({\mathrm e}^{2}+2 x \right)}{2}-\frac{\ln \left({\mathrm e}^{2}+2 x \right)^{2} {\mathrm e}^{2}}{2}+{\mathrm e}^{2} \left({\mathrm e}^{2}+2 x \right)$&$130$\\ default&$\frac{3 \,{\mathrm e}^{4} \left({\mathrm e}^{2}+2 x \right)}{8}+{\mathrm e}^{2} \left(\ln \left({\mathrm e}^{2}+2 x \right) \left({\mathrm e}^{2}+2 x \right)-{\mathrm e}^{2}-2 x \right)-\frac{3 \,{\mathrm e}^{2} \left({\mathrm e}^{2}+2 x \right)^{2}}{8}+\frac{\left({\mathrm e}^{2}+2 x \right) \ln \left({\mathrm e}^{2}+2 x \right)^{2}}{2}-\frac{\ln \left({\mathrm e}^{2}+2 x \right) \left({\mathrm e}^{2}+2 x \right)^{2}}{2}+\frac{\left({\mathrm e}^{2}+2 x \right)^{3}}{8}-\frac{{\mathrm e}^{4} \ln \left({\mathrm e}^{2}+2 x \right)}{2}-\frac{\ln \left({\mathrm e}^{2}+2 x \right)^{2} {\mathrm e}^{2}}{2}+{\mathrm e}^{2} \left({\mathrm e}^{2}+2 x \right)$&$130$\\ \hline \end{longtable}"," ",0,"x^3+ln(exp(2)+2*x)^2*x-2*x^2*ln(exp(2)+2*x)","A"
2483,1,35,22,0.772000," ","int(((-128*x^2+192*x)*ln(x)+(-64*x+96)*exp(x)-64*x^2+32*x+160)/((2*x^7-3*x^6)*ln(x)^3+((6*x^5-9*x^4)*ln(1/(2*x-3))+(6*x^5-9*x^4)*exp(x)+6*x^6-9*x^5)*ln(x)^2+((6*x^3-9*x^2)*ln(1/(2*x-3))^2+((12*x^3-18*x^2)*exp(x)+12*x^4-18*x^3)*ln(1/(2*x-3))+(6*x^3-9*x^2)*exp(x)^2+(12*x^4-18*x^3)*exp(x)+6*x^5-9*x^4)*ln(x)+(2*x-3)*ln(1/(2*x-3))^3+((6*x-9)*exp(x)+6*x^2-9*x)*ln(1/(2*x-3))^2+((6*x-9)*exp(x)^2+(12*x^2-18*x)*exp(x)+6*x^3-9*x^2)*ln(1/(2*x-3))+(2*x-3)*exp(x)^3+(6*x^2-9*x)*exp(x)^2+(6*x^3-9*x^2)*exp(x)+2*x^4-3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{64}{\left(2 i x^{2} \ln \left(x \right)-2 i \ln \left(2\right)+2 i x +2 i {\mathrm e}^{x}-2 i \ln \left(x -\frac{3}{2}\right)\right)^{2}}$&$35$\\ \hline \end{longtable}"," ",0,"-64/(2*I*x^2*ln(x)-2*I*ln(2)+2*I*x+2*I*exp(x)-2*I*ln(x-3/2))^2","C"
2484,1,218,25,0.158000," ","int(((-x*exp(x)^2+2)*ln((x*exp(x)^2-2)/exp(x)^2)+x^3*exp(x)^3+(2*x^3-16*x)*exp(x)^2-2*exp(x)*x^2-4*x^2+4*x+34)/(exp(x)^2*x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \ln \left({\mathrm e}^{x}\right)}{x}+\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-2 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{2 x}-2\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(x \,{\mathrm e}^{2 x}-2\right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{2 x}-2\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(x \,{\mathrm e}^{2 x}-2\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(x \,{\mathrm e}^{2 x}-2\right)\right)^{2}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(x \,{\mathrm e}^{2 x}-2\right)\right)^{3}+4 x^{2}+2 \,{\mathrm e}^{x} x +2 \ln \left(x \,{\mathrm e}^{2 x}-2\right)+34}{2 x}$&$218$\\ \hline \end{longtable}"," ",0,"-2/x*ln(exp(x))+1/2*(I*Pi*csgn(I*exp(x))^2*csgn(I*exp(2*x))-2*I*Pi*csgn(I*exp(x))*csgn(I*exp(2*x))^2+I*Pi*csgn(I*exp(2*x))^3-I*Pi*csgn(I*(x*exp(2*x)-2))*csgn(I*exp(-2*x))*csgn(I*exp(-2*x)*(x*exp(2*x)-2))+I*Pi*csgn(I*(x*exp(2*x)-2))*csgn(I*exp(-2*x)*(x*exp(2*x)-2))^2+I*Pi*csgn(I*exp(-2*x))*csgn(I*exp(-2*x)*(x*exp(2*x)-2))^2-I*Pi*csgn(I*exp(-2*x)*(x*exp(2*x)-2))^3+4*x^2+2*exp(x)*x+2*ln(x*exp(2*x)-2)+34)/x","C"
2485,0,0,30,0.184000," ","int(((((-2*x^3+8*x^2+10*x)*exp(4)-10*x-10)*ln((3*x+3)/x)+2*x-10)*exp(ln(ln((3*x+3)/x))+x*exp(4))+(2*x^2+2*x)*ln((3*x+3)/x))*exp((5-x)*exp(ln(ln((3*x+3)/x))+x*exp(4))/x)/(x^2+x)/ln((3*x+3)/x),x)","\[\int \frac{\left(\left(\left(\left(-2 x^{3}+8 x^{2}+10 x \right) {\mathrm e}^{4}-10 x -10\right) \ln \left(\frac{3 x +3}{x}\right)+2 x -10\right) {\mathrm e}^{\ln \left(\ln \left(\frac{3 x +3}{x}\right)\right)+x \,{\mathrm e}^{4}}+\left(2 x^{2}+2 x \right) \ln \left(\frac{3 x +3}{x}\right)\right) {\mathrm e}^{\frac{\left(5-x \right) {\mathrm e}^{\ln \left(\ln \left(\frac{3 x +3}{x}\right)\right)+x \,{\mathrm e}^{4}}}{x}}}{\left(x^{2}+x \right) \ln \left(\frac{3 x +3}{x}\right)}\, dx\]"," ",0,"int(((((-2*x^3+8*x^2+10*x)*exp(4)-10*x-10)*ln((3*x+3)/x)+2*x-10)*exp(ln(ln((3*x+3)/x))+x*exp(4))+(2*x^2+2*x)*ln((3*x+3)/x))*exp((5-x)*exp(ln(ln((3*x+3)/x))+x*exp(4))/x)/(x^2+x)/ln((3*x+3)/x),x)","F"
2486,1,34,21,0.052000," ","int(1/25*(-32*x^2+4*x)*exp(ln(2)-4*x)^4+1/25*(-80*x^2+580*x-70)*exp(ln(2)-4*x)^2+x-7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{32 \,{\mathrm e}^{-16 x} x^{2}}{25}+\frac{4 \left(10 x^{2}-70 x \right) {\mathrm e}^{-8 x}}{25}+\frac{x^{2}}{2}-7 x$&$34$\\ norman&$-7 x +\frac{x^{2}}{2}-\frac{56 \,{\mathrm e}^{-8 x} x}{5}+\frac{8 \,{\mathrm e}^{-8 x} x^{2}}{5}+\frac{32 \,{\mathrm e}^{-16 x} x^{2}}{25}$&$50$\\ default&$-7 x +\frac{x^{2}}{2}+\frac{2 \,{\mathrm e}^{-16 x} \left(\ln \left(2\right)-4 x \right)^{2}}{25}+\frac{2 \,{\mathrm e}^{-16 x} \ln \left(2\right)^{2}}{25}-\frac{4 \,{\mathrm e}^{-16 x} \left(\ln \left(2\right)-4 x \right) \ln \left(2\right)}{25}+\frac{14 \,{\mathrm e}^{-8 x} \left(\ln \left(2\right)-4 x \right)}{5}+\frac{{\mathrm e}^{-8 x} \left(\ln \left(2\right)-4 x \right)^{2}}{10}-\frac{14 \,{\mathrm e}^{-8 x} \ln \left(2\right)}{5}+\frac{{\mathrm e}^{-8 x} \ln \left(2\right)^{2}}{10}-\frac{{\mathrm e}^{-8 x} \left(\ln \left(2\right)-4 x \right) \ln \left(2\right)}{5}$&$146$\\ derivativedivides&$\frac{7 \ln \left(2\right)}{4}-7 x +\frac{\left(\ln \left(2\right)-4 x \right)^{2}}{32}+\frac{2 \,{\mathrm e}^{-16 x} \left(\ln \left(2\right)-4 x \right)^{2}}{25}+\frac{2 \,{\mathrm e}^{-16 x} \ln \left(2\right)^{2}}{25}-\frac{4 \,{\mathrm e}^{-16 x} \left(\ln \left(2\right)-4 x \right) \ln \left(2\right)}{25}+\frac{14 \,{\mathrm e}^{-8 x} \left(\ln \left(2\right)-4 x \right)}{5}+\frac{{\mathrm e}^{-8 x} \left(\ln \left(2\right)-4 x \right)^{2}}{10}-\frac{14 \,{\mathrm e}^{-8 x} \ln \left(2\right)}{5}+\frac{{\mathrm e}^{-8 x} \ln \left(2\right)^{2}}{10}-\frac{{\mathrm e}^{-8 x} \left(\ln \left(2\right)-4 x \right) \ln \left(2\right)}{5}-\frac{\left(\ln \left(2\right)-4 x \right) \ln \left(2\right)}{16}$&$165$\\ \hline \end{longtable}"," ",0,"32/25*exp(-16*x)*x^2+4/25*(10*x^2-70*x)*exp(-8*x)+1/2*x^2-7*x","A"
2487,1,25,15,0.062000," ","int(1/5*(x^7-20*x^2-250*x-750)*exp(1/5*(x^7+153*x^6+5*x^2+50*x+125)/x^6)/x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{x^{7}+153 x^{6}+5 x^{2}+50 x +125}{5 x^{6}}}$&$25$\\ norman&${\mathrm e}^{\frac{x^{7}+153 x^{6}+5 x^{2}+50 x +125}{5 x^{6}}}$&$25$\\ risch&${\mathrm e}^{\frac{x^{7}+153 x^{6}+5 x^{2}+50 x +125}{5 x^{6}}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(1/5*(x^7+153*x^6+5*x^2+50*x+125)/x^6)","A"
2488,1,22,27,0.115000," ","int(((-60*x^3-270*x^2)*exp(3)+30*x^2+180*x+450)/(x^6*exp(3)^2+(-2*x^5-10*x^4)*exp(3)+x^4+10*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{30 x +90}{x \left(x^{2} {\mathrm e}^{3}-x -5\right)}$&$22$\\ norman&$\frac{30 x +90}{x \left(x^{2} {\mathrm e}^{3}-x -5\right)}$&$23$\\ risch&$\frac{30 x +90}{x \left(x^{2} {\mathrm e}^{3}-x -5\right)}$&$23$\\ default&$-\frac{18}{x}+3 \left(\munderset{\textit{\_R} =\RootOf \left(25+\textit{\_Z}^{4} {\mathrm e}^{6}-2 \textit{\_Z}^{3} {\mathrm e}^{3}+\left(-10 \,{\mathrm e}^{3}+1\right) \textit{\_Z}^{2}+10 \textit{\_Z} \right)}{\sum}\frac{\left(-3 \textit{\_R}^{2} {\mathrm e}^{6}-4 \textit{\_R} \,{\mathrm e}^{3}-15 \,{\mathrm e}^{3}+2\right) \ln \left(x -\textit{\_R} \right)}{5+2 \textit{\_R}^{3} {\mathrm e}^{6}-3 \textit{\_R}^{2} {\mathrm e}^{3}-10 \textit{\_R} \,{\mathrm e}^{3}+\textit{\_R}}\right)$&$90$\\ \hline \end{longtable}"," ",0,"30*(3+x)/x/(x^2*exp(3)-x-5)","A"
2489,1,21,18,0.099000," ","int(((-x^2+2*x)*exp(4)*exp(x)+(4*x^2+48*x)*exp(4)^2)/(exp(x)^2+(8*x+48)*exp(4)*exp(x)+(16*x^2+192*x+576)*exp(4)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2} {\mathrm e}^{4}}{4 x \,{\mathrm e}^{4}+24 \,{\mathrm e}^{4}+{\mathrm e}^{x}}$&$21$\\ risch&$\frac{x^{2} {\mathrm e}^{4}}{4 x \,{\mathrm e}^{4}+24 \,{\mathrm e}^{4}+{\mathrm e}^{x}}$&$21$\\ \hline \end{longtable}"," ",0,"x^2*exp(4)/(4*x*exp(4)+24*exp(4)+exp(x))","A"
2490,1,17,19,0.030000," ","int(1/2*((2*exp(x)*x^2+x^2)*ln(ln(3))+2)/x^2/ln(ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{x \ln \left(\ln \left(3\right)\right)}+{\mathrm e}^{x}+\frac{x}{2}$&$17$\\ norman&$\frac{{\mathrm e}^{x} x +\frac{x^{2}}{2}-\frac{1}{\ln \left(\ln \left(3\right)\right)}}{x}$&$22$\\ default&$\frac{-\frac{2}{x}+2 \,{\mathrm e}^{x} \ln \left(\ln \left(3\right)\right)+\ln \left(\ln \left(3\right)\right) x}{2 \ln \left(\ln \left(3\right)\right)}$&$26$\\ \hline \end{longtable}"," ",0,"-1/x/ln(ln(3))+exp(x)+1/2*x","A"
2491,1,53,29,0.053000," ","int((((256*x^3-128*x^2-1280*x)*ln(x-2)-64*x^5-160*x^4+416*x^3+1216*x^2-512*x)*ln(x)+(512*x^3-1024*x^2+256*x-512)*ln(x-2)^2+(-384*x^4+128*x^3-128*x^2+768*x)*ln(x-2)-32*x^7-32*x^6+336*x^5+192*x^4-1072*x^3+2528*x^2-256*x+1536)/((256*x^2-512*x)*ln(x-2)^4+(-256*x^4-256*x^3+1536*x^2)*ln(x-2)^3+(96*x^6+384*x^5-288*x^4-2240*x^3-512*x^2+3072*x)*ln(x-2)^2+(-16*x^8-112*x^7-144*x^6+688*x^5+1888*x^4-768*x^3-4608*x^2)*ln(x-2)+x^10+10*x^9+30*x^8-32*x^7-359*x^6-450*x^5+1120*x^4+2752*x^3-768*x^2-4608*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 \ln \left(x \right)+16 x^{2}}{x^{4}-8 x^{2} \ln \left(x -2\right)+6 x^{3}+16 \ln \left(x -2\right)^{2}-24 x \ln \left(x -2\right)+9 x^{2}-16 x -48}$&$53$\\ \hline \end{longtable}"," ",0,"16*(ln(x)+x^2)/(x^4-8*x^2*ln(x-2)+6*x^3+16*ln(x-2)^2-24*x*ln(x-2)+9*x^2-16*x-48)","A"
2492,1,36,29,0.037000," ","int((((2*x-2)*exp(x)-2*x^2-4)*ln(x)+((-8*x+2)*exp(x)+6*x^3+8*x^2-12*x+4)*exp(3*x)+(-2*x^2+2)*exp(x)+4*x^3-2*x+4)/((exp(x)*x-x^3-x^2+2*x)*ln(x)+(-exp(x)*x+x^3+x^2-2*x)*exp(3*x)-exp(x)*x^2+x^4+x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(x \right)+2 \ln \left(2-x -x^{2}+{\mathrm e}^{x}\right)+2 \ln \left(-{\mathrm e}^{3 x}-x +\ln \left(x \right)\right)$&$36$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+2*ln(2-x-x^2+exp(x))+2*ln(-exp(3*x)-x+ln(x))","A"
2493,1,58,20,0.054000," ","int((-16*ln(5)^4-64*ln(5)^3+4*(6*x^2-24)*ln(5)^2+2*(-8*x^3+24*x^2-32)*ln(5)+3*x^4-16*x^3+24*x^2-16)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{4}+\left(-8 \ln \left(5\right)-8\right) x^{3}+\left(24 \ln \left(5\right)^{2}+48 \ln \left(5\right)+24\right) x^{2}+16 \ln \left(5\right)^{4}+64 \ln \left(5\right)^{3}+96 \ln \left(5\right)^{2}+64 \ln \left(5\right)+16}{x}$&$58$\\ default&$24 x \ln \left(5\right)^{2}-8 x^{2} \ln \left(5\right)+x^{3}+48 x \ln \left(5\right)-8 x^{2}+24 x -\frac{-16 \ln \left(5\right)^{4}-64 \ln \left(5\right)^{3}-96 \ln \left(5\right)^{2}-64 \ln \left(5\right)-16}{x}$&$61$\\ gosper&$\frac{16 \ln \left(5\right)^{4}+24 x^{2} \ln \left(5\right)^{2}-8 x^{3} \ln \left(5\right)+x^{4}+64 \ln \left(5\right)^{3}+48 x^{2} \ln \left(5\right)-8 x^{3}+96 \ln \left(5\right)^{2}+24 x^{2}+64 \ln \left(5\right)+16}{x}$&$65$\\ risch&$24 x \ln \left(5\right)^{2}-8 x^{2} \ln \left(5\right)+x^{3}+48 x \ln \left(5\right)-8 x^{2}+24 x +\frac{16 \ln \left(5\right)^{4}}{x}+\frac{64 \ln \left(5\right)^{3}}{x}+\frac{96 \ln \left(5\right)^{2}}{x}+\frac{64 \ln \left(5\right)}{x}+\frac{16}{x}$&$71$\\ \hline \end{longtable}"," ",0,"(x^4+(-8*ln(5)-8)*x^3+(24*ln(5)^2+48*ln(5)+24)*x^2+16*ln(5)^4+64*ln(5)^3+96*ln(5)^2+64*ln(5)+16)/x","B"
2494,1,28,29,0.112000," ","int(((2*x^9-4*x^7-12*x^6+2*x^5+12*x^4+18*x^3)*exp(x)+6*x^5-12*x^4-22*x^3+6*x^2+21*x+24)/(2*x^9-4*x^7-12*x^6+2*x^5+12*x^4+18*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{-x^{2}+\frac{3}{2} x +2}{x^{2} \left(x^{3}-x -3\right)}+{\mathrm e}^{x}$&$28$\\ norman&$\frac{2+x^{5} {\mathrm e}^{x}-x^{2}+\frac{3 x}{2}-3 \,{\mathrm e}^{x} x^{2}-{\mathrm e}^{x} x^{3}}{x^{2} \left(x^{3}-x -3\right)}$&$45$\\ default&${\mathrm e}^{x}+\frac{-\frac{539}{1434} x^{2}-\frac{14}{239} x +\frac{917}{1434}}{x^{3}-x -3}-\frac{2}{3 x^{2}}-\frac{5}{18 x}-\frac{6 \left(-\frac{27}{239} x^{2}+\frac{2}{239} x +\frac{18}{239}\right)}{x^{3}-x -3}-\frac{11 \left(\frac{6}{239} x^{2}-\frac{27}{239} x -\frac{4}{239}\right)}{x^{3}-x -3}-\frac{\frac{12}{239} x^{2}-\frac{54}{239} x +\frac{231}{239}}{3 \left(x^{3}-x -3\right)}-\frac{4 \left(-\frac{131}{239} x^{2}+\frac{231}{239} x +\frac{167}{239}\right)}{9 \left(x^{3}-x -3\right)}+\frac{{\mathrm e}^{x} \left(2 x^{2}-9 x -81\right)}{239 x^{3}-239 x -717}+\frac{\frac{6}{239} x^{2}-\frac{27}{239} x -\frac{243}{239}}{x^{3}-x -3}-\frac{\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z} -3\right)}{\sum}\frac{\left(239 \textit{\_R}^{2}+12 \textit{\_R} -347\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}-1}\right)}{717}-\frac{6 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z} -3\right)}{\sum}\frac{\left(27 \textit{\_R1}^{2}-29 \textit{\_R1} -14\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{3 \textit{\_R1}^{2}-1}\right)}{239}+\frac{\left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z} -3\right)}{\sum}\frac{\left(2 \textit{\_R1}^{2}-11 \textit{\_R1} -63\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{3 \textit{\_R1}^{2}-1}\right)}{239}-\frac{\left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z} -3\right)}{\sum}\frac{\left(106 \textit{\_R1}^{2}+612 \textit{\_R1} +963\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{3 \textit{\_R1}^{2}-1}\right)}{239}-\frac{60 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z} -3\right)}{\sum}\frac{\left(\textit{\_R} -9\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}-1}\right)}{239}+\frac{7 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z} -3\right)}{\sum}\frac{\left(239 \textit{\_R}^{2}-474 \textit{\_R} -275\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}-1}\right)}{2151}+\frac{9 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z} -3\right)}{\sum}\frac{\left(6 \textit{\_R1}^{2}-33 \textit{\_R1} +50\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{3 \textit{\_R1}^{2}-1}\right)}{239}-\frac{6 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z} -3\right)}{\sum}\frac{\left(-27 \textit{\_R} +4\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}-1}\right)}{239}+\frac{2 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z} -3\right)}{\sum}\frac{\left(79 \textit{\_R1}^{2}+163 \textit{\_R1} +21\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{3 \textit{\_R1}^{2}-1}\right)}{239}-\frac{4 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z} -3\right)}{\sum}\frac{\left(239 \textit{\_R}^{2}-609 \textit{\_R} +940\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}-1}\right)}{2151}+\frac{6 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z} -3\right)}{\sum}\frac{\left(9 \textit{\_R1}^{2}+70 \textit{\_R1} +75\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{3 \textit{\_R1}^{2}-1}\right)}{239}+\frac{2 \,{\mathrm e}^{x} \left(79 x^{2}+3 x +27\right)}{239 \left(x^{3}-x -3\right)}+\frac{6 \,{\mathrm e}^{x} \left(9 x^{2}+79 x -6\right)}{239 \left(x^{3}-x -3\right)}-\frac{{\mathrm e}^{x} \left(106 x^{2}+240 x +9\right)}{239 \left(x^{3}-x -3\right)}+\frac{9 \,{\mathrm e}^{x} \left(6 x^{2}-27 x -4\right)}{239 \left(x^{3}-x -3\right)}-\frac{6 \,{\mathrm e}^{x} \left(27 x^{2}-2 x -18\right)}{239 \left(x^{3}-x -3\right)}$&$736$\\ \hline \end{longtable}"," ",0,"(-x^2+3/2*x+2)/x^2/(x^3-x-3)+exp(x)","A"
2495,1,14,13,0.017000," ","int(1/25*(-174*x^3+5*x^2-20)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{174 x}{25}+\frac{2}{5 x^{2}}+\frac{\ln \left(x \right)}{5}$&$14$\\ risch&$-\frac{174 x}{25}+\frac{2}{5 x^{2}}+\frac{\ln \left(x \right)}{5}$&$14$\\ norman&$\frac{\frac{2}{5}-\frac{174 x^{3}}{25}}{x^{2}}+\frac{\ln \left(x \right)}{5}$&$17$\\ \hline \end{longtable}"," ",0,"-174/25*x+2/5/x^2+1/5*ln(x)","A"
2496,1,11,17,0.350000," ","int((x*ln(x)-2*x-2)/(x^2+x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x +1\right)-2 \ln \left(\ln \left(x \right)\right)$&$11$\\ norman&$\ln \left(x +1\right)-2 \ln \left(\ln \left(x \right)\right)$&$11$\\ risch&$\ln \left(x +1\right)-2 \ln \left(\ln \left(x \right)\right)$&$11$\\ \hline \end{longtable}"," ",0,"ln(x+1)-2*ln(ln(x))","A"
2497,1,27,14,0.023000," ","int(((3*x^2+10*x)*exp(1)^8+(144*x+360)*exp(1)^4+1296)/exp(1)^8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+5 x^{2}+72 x^{2} {\mathrm e}^{-4}+360 \,{\mathrm e}^{-4} x +1296 \,{\mathrm e}^{-8} x$&$27$\\ gosper&$x \left(x^{2} {\mathrm e}^{8}+5 x \,{\mathrm e}^{8}+72 x \,{\mathrm e}^{4}+360 \,{\mathrm e}^{4}+1296\right) {\mathrm e}^{-8}$&$37$\\ default&${\mathrm e}^{-8} \left({\mathrm e}^{8} \left(x^{3}+5 x^{2}\right)+{\mathrm e}^{4} \left(72 x^{2}+360 x \right)+1296 x \right)$&$38$\\ norman&$\left({\mathrm e}^{7} x^{3}+{\mathrm e}^{3} \left(5 \,{\mathrm e}^{4}+72\right) x^{2}+72 \left(5 \,{\mathrm e}^{4}+18\right) {\mathrm e}^{-1} x \right) {\mathrm e}^{-7}$&$46$\\ \hline \end{longtable}"," ",0,"x^3+5*x^2+72*x^2*exp(-4)+360*exp(-4)*x+1296*exp(-8)*x","A"
2498,1,29,27,0.075000," ","int((((10*x^4*exp(x^2)+5*x^2)*exp(exp(x^2))+2)*exp((-5*x^2*exp(exp(x^2))+2)/x)-2*x^2-x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x -\ln \left(x \right)-{\mathrm e}^{-\frac{5 x^{2} {\mathrm e}^{{\mathrm e}^{x^{2}}}-2}{x}}$&$29$\\ \hline \end{longtable}"," ",0,"-2*x-ln(x)-exp(-(5*x^2*exp(exp(x^2))-2)/x)","A"
2499,1,28,29,0.356000," ","int((-4*x^3-60*x+120)*exp(ln(2/(2*(x^3-3*x^2)*ln(2)+x^3-3*x^2))+5)/(x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{5} \left(2 x^{2}+10\right)}{x^{2} \left(x -3\right) \left(1+2 \ln \left(2\right)\right)}$&$28$\\ gosper&$4 \left(x^{2}+5\right) {\mathrm e}^{\ln \left(\frac{2}{x^{2} \left(2 x \ln \left(2\right)-6 \ln \left(2\right)+x -3\right)}\right)+5}$&$31$\\ norman&$\frac{\frac{8 \,{\mathrm e}^{5} x^{2}}{1+2 \ln \left(2\right)}+\frac{40 \,{\mathrm e}^{5}}{1+2 \ln \left(2\right)}}{x^{2} \left(x -3\right)}$&$38$\\ default&$-\frac{20 \,{\mathrm e}^{5+\ln \left(\frac{2}{2 \left(x^{3}-3 x^{2}\right) \ln \left(2\right)+x^{3}-3 x^{2}}\right)+\ln \left(2 \left(x^{3}-3 x^{2}\right) \ln \left(2\right)+x^{3}-3 x^{2}\right)}}{3 \left(1+2 \ln \left(2\right)\right) x^{2}}-\frac{20 \,{\mathrm e}^{5+\ln \left(\frac{2}{2 \left(x^{3}-3 x^{2}\right) \ln \left(2\right)+x^{3}-3 x^{2}}\right)+\ln \left(2 \left(x^{3}-3 x^{2}\right) \ln \left(2\right)+x^{3}-3 x^{2}\right)}}{9 \left(1+2 \ln \left(2\right)\right) x}+\frac{56 \,{\mathrm e}^{5+\ln \left(\frac{2}{2 \left(x^{3}-3 x^{2}\right) \ln \left(2\right)+x^{3}-3 x^{2}}\right)+\ln \left(2 \left(x^{3}-3 x^{2}\right) \ln \left(2\right)+x^{3}-3 x^{2}\right)}}{9 \left(1+2 \ln \left(2\right)\right) \left(x -3\right)}$&$202$\\ \hline \end{longtable}"," ",0,"4*exp(5)*(2*x^2+10)/x^2/(x-3)/(1+2*ln(2))","A"
2500,1,15,19,0.028000," ","int((x*exp(-exp(exp(exp(1)))-ln(x)+4+x)-x+1)/x/exp(-exp(exp(exp(1)))-ln(x)+4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +x \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}}}-4-x}$&$15$\\ norman&$\left(1+x \,{\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{{\mathrm e}}}-\ln \left(x \right)+4+x}\right) x \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}}}-4-x}$&$36$\\ default&$x +{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}}}-4-x} {\mathrm e}^{{\mathrm e}^{{\mathrm e}}}-\left({\mathrm e}^{{\mathrm e}^{{\mathrm e}}}-4-x \right) {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}}}-4-x}-4 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}}}-4-x}$&$51$\\ \hline \end{longtable}"," ",0,"x+x*exp(exp(exp(exp(1)))-4-x)","A"
2501,1,39,22,0.158000," ","int(((320*x-320)*exp(20+x)^2+((-1280*x+2560)*ln(5)-640*x+1280)*exp(20+x)-5120*ln(5)^2-5120*ln(5)-1280)*exp((16*exp(20+x)^2+(-128*ln(5)-64)*exp(20+x)+256*ln(5)^2+256*ln(5)+64)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$10 \,{\mathrm e}^{\frac{16 \,{\mathrm e}^{40+2 x}+\left(-128 \ln \left(5\right)-64\right) {\mathrm e}^{20+x}+256 \ln \left(5\right)^{2}+256 \ln \left(5\right)+64}{x^{2}}}$&$39$\\ risch&$10 \,{\mathrm e}^{\frac{-128 \,{\mathrm e}^{20+x} \ln \left(5\right)+256 \ln \left(5\right)^{2}+16 \,{\mathrm e}^{40+2 x}-64 \,{\mathrm e}^{20+x}+256 \ln \left(5\right)+64}{x^{2}}}$&$41$\\ \hline \end{longtable}"," ",0,"10*exp((16*exp(20+x)^2+(-128*ln(5)-64)*exp(20+x)+256*ln(5)^2+256*ln(5)+64)/x^2)","A"
2502,1,15,12,0.027000," ","int(((3+ln(x))*ln(3+ln(x))+(3*x+1)*ln(x)+9*x+4)/(3+ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +x \ln \left(3+\ln \left(x \right)\right)+\frac{3 x^{2}}{2}$&$15$\\ risch&$x +x \ln \left(3+\ln \left(x \right)\right)+\frac{3 x^{2}}{2}$&$15$\\ \hline \end{longtable}"," ",0,"x+x*ln(3+ln(x))+3/2*x^2","A"
2503,1,32,30,0.259000," ","int(((-4*x*exp(2)*exp(26)+(x^3+x^2-3*x)*exp(2))*ln((4*exp(26)-x^2-x+3)/x)+(-12*x*exp(26)+3*x^3+3*x^2-9*x)*exp(x)-4*exp(2)*exp(26)+(-x^2-3)*exp(2))/(12*x*exp(26)-3*x^3-3*x^2+9*x)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\frac{{\mathrm e}^{2} \ln \left(\frac{4 \,{\mathrm e}^{26}-x^{2}-x +3}{x}\right) {\mathrm e}^{-x}}{3}$&$32$\\ norman&$\left(\frac{{\mathrm e}^{2} \ln \left(\frac{4 \,{\mathrm e}^{26}-x^{2}-x +3}{x}\right)}{3}-{\mathrm e}^{x} x \right) {\mathrm e}^{-x}$&$35$\\ risch&$\frac{\ln \left(-\frac{x^{2}}{4}+{\mathrm e}^{26}-\frac{x}{4}+\frac{3}{4}\right) {\mathrm e}^{2-x}}{3}-\frac{\left(i \pi  \,{\mathrm e}^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-\frac{x^{2}}{4}+{\mathrm e}^{26}-\frac{x}{4}+\frac{3}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{4}+{\mathrm e}^{26}-\frac{x}{4}+\frac{3}{4}\right)}{x}\right)-i \pi  \,{\mathrm e}^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{4}+{\mathrm e}^{26}-\frac{x}{4}+\frac{3}{4}\right)}{x}\right)^{2}-i \pi  \,{\mathrm e}^{2} \mathrm{csgn}\left(i \left(-\frac{x^{2}}{4}+{\mathrm e}^{26}-\frac{x}{4}+\frac{3}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{4}+{\mathrm e}^{26}-\frac{x}{4}+\frac{3}{4}\right)}{x}\right)^{2}+i \pi  \,{\mathrm e}^{2} \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{4}+{\mathrm e}^{26}-\frac{x}{4}+\frac{3}{4}\right)}{x}\right)^{3}-4 \,{\mathrm e}^{2} \ln \left(2\right)+2 \,{\mathrm e}^{2} \ln \left(x \right)+6 \,{\mathrm e}^{x} x \right) {\mathrm e}^{-x}}{6}$&$199$\\ \hline \end{longtable}"," ",0,"-x+1/3*exp(2)*ln((4*exp(26)-x^2-x+3)/x)/exp(x)","A"
2504,1,39,33,0.212000," ","int((-x^2*exp(5)^4-8*x^2*exp(5)^3+(exp(4)^2-exp(4)-2*x^3-23*x^2)*exp(5)^2+(4*exp(4)^2-4*exp(4)-8*x^3-28*x^2)*exp(5)+(2*x+4)*exp(4)^2+(-2*x-4)*exp(4)-x^4-8*x^3-11*x^2)/(x^2*exp(5)^4+8*x^2*exp(5)^3+(2*x^3+24*x^2)*exp(5)^2+(8*x^3+32*x^2)*exp(5)+x^4+8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{\left(-{\mathrm e}^{10}-4 \,{\mathrm e}^{5}-5\right) x -{\mathrm e}^{8}+{\mathrm e}^{4}}{\left({\mathrm e}^{10}+4 \,{\mathrm e}^{5}+x +4\right) x}$&$39$\\ norman&$\frac{\left({\mathrm e}^{20}+8 \,{\mathrm e}^{15}+23 \,{\mathrm e}^{10}+28 \,{\mathrm e}^{5}+11\right) x -x^{3}-{\mathrm e}^{8}+{\mathrm e}^{4}}{x \left({\mathrm e}^{10}+4 \,{\mathrm e}^{5}+x +4\right)}$&$56$\\ gosper&$\frac{x \,{\mathrm e}^{20}+8 x \,{\mathrm e}^{15}+23 x \,{\mathrm e}^{10}-x^{3}+28 x \,{\mathrm e}^{5}-{\mathrm e}^{8}+{\mathrm e}^{4}+11 x}{x \left({\mathrm e}^{10}+4 \,{\mathrm e}^{5}+x +4\right)}$&$60$\\ \hline \end{longtable}"," ",0,"-x+((-exp(10)-4*exp(5)-5)*x-exp(8)+exp(4))/(exp(10)+4*exp(5)+x+4)/x","A"
2505,1,14,17,0.025000," ","int((10*ln(3)+2*x^3+1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}-1-10 \ln \left(3\right)}{x}$&$14$\\ default&$x^{2}-\frac{10 \ln \left(3\right)+1}{x}$&$16$\\ gosper&$-\frac{-x^{3}+10 \ln \left(3\right)+1}{x}$&$17$\\ risch&$x^{2}-\frac{10 \ln \left(3\right)}{x}-\frac{1}{x}$&$17$\\ \hline \end{longtable}"," ",0,"1/x*(x^3-1-10*ln(3))","A"
2506,1,27,26,0.081000," ","int(1/9*(36*x^4-18*x^3+2*x^2+9)*exp(exp(5)^2-22*exp(5)+x^4-2/3*x^3+1/9*x^2+146)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +x \,{\mathrm e}^{{\mathrm e}^{10}-22 \,{\mathrm e}^{5}+x^{4}-\frac{2 x^{3}}{3}+\frac{x^{2}}{9}+146}$&$27$\\ default&$x +x \,{\mathrm e}^{{\mathrm e}^{10}-22 \,{\mathrm e}^{5}+x^{4}-\frac{2 x^{3}}{3}+\frac{x^{2}}{9}+146}$&$29$\\ norman&$x +x \,{\mathrm e}^{{\mathrm e}^{10}-22 \,{\mathrm e}^{5}+x^{4}-\frac{2 x^{3}}{3}+\frac{x^{2}}{9}+146}$&$29$\\ \hline \end{longtable}"," ",0,"x+x*exp(exp(10)-22*exp(5)+x^4-2/3*x^3+1/9*x^2+146)","A"
2507,1,92,34,0.079000," ","int(((-2*x^6+4*x^5)*exp(x)^4+(24*x^6-116*x^5+120*x^4-40*x^3)*exp(x)^3+(-108*x^6+828*x^5-1920*x^4+1560*x^3-1200*x^2)*exp(x)^2+(216*x^6-2268*x^5+8280*x^4-12680*x^3+11200*x^2-12000*x)*exp(x)-226*x^6+2160*x^5-10800*x^4+25080*x^3-30800*x^2+36000*x-40000)/(x^5*exp(x)^4+(-12*x^5+40*x^4)*exp(x)^3+(54*x^5-360*x^4+600*x^3)*exp(x)^2+(-108*x^5+1080*x^4-3600*x^3+4000*x^2)*exp(x)+113*x^5-1080*x^4+5400*x^3-12000*x^2+10000*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+\ln \left({\mathrm e}^{4 x}-\frac{4 \left(3 x -10\right) {\mathrm e}^{3 x}}{x}+\frac{6 \left(9 x^{2}-60 x +100\right) {\mathrm e}^{2 x}}{x^{2}}-\frac{4 \left(27 x^{3}-270 x^{2}+900 x -1000\right) {\mathrm e}^{x}}{x^{3}}+\frac{113 x^{4}-1080 x^{3}+5400 x^{2}-12000 x +10000}{x^{4}}\right)$&$92$\\ \hline \end{longtable}"," ",0,"-x^2+ln(exp(4*x)-4/x*(3*x-10)*exp(3*x)+6/x^2*(9*x^2-60*x+100)*exp(2*x)-4/x^3*(27*x^3-270*x^2+900*x-1000)*exp(x)+(113*x^4-1080*x^3+5400*x^2-12000*x+10000)/x^4)","B"
2508,1,218,30,0.182000," ","int(((((-50*x-120)*exp(x)-50*x^2-120*x)*ln(x)+(-50*x-120)*exp(x)-50*x^2-120*x)*ln((25*x^2+120*x+144)/(exp(x)+x))+((-50*x^2-20*x)*exp(x)+50*x^2-120*x)*ln(x)+(100*x^2+240*x)*exp(x)+100*x^3+240*x^2)/((5*x^3+12*x^2)*exp(x)+5*x^4+12*x^3)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{10 \ln \left({\mathrm e}^{x}+x \right)}{x \ln \left(x \right)}+\frac{-5 i \pi  \mathrm{csgn}\left(i \left(x +\frac{12}{5}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +\frac{12}{5}\right)^{2}\right)+10 i \pi  \,\mathrm{csgn}\left(i \left(x +\frac{12}{5}\right)\right) \mathrm{csgn}\left(i \left(x +\frac{12}{5}\right)^{2}\right)^{2}-5 i \pi  \mathrm{csgn}\left(i \left(x +\frac{12}{5}\right)^{2}\right)^{3}-5 i \pi  \,\mathrm{csgn}\left(i \left(x +\frac{12}{5}\right)^{2}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+x}\right) \mathrm{csgn}\left(\frac{i \left(x +\frac{12}{5}\right)^{2}}{{\mathrm e}^{x}+x}\right)+5 i \pi  \,\mathrm{csgn}\left(i \left(x +\frac{12}{5}\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x +\frac{12}{5}\right)^{2}}{{\mathrm e}^{x}+x}\right)^{2}+5 i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+x}\right) \mathrm{csgn}\left(\frac{i \left(x +\frac{12}{5}\right)^{2}}{{\mathrm e}^{x}+x}\right)^{2}-5 i \pi  \mathrm{csgn}\left(\frac{i \left(x +\frac{12}{5}\right)^{2}}{{\mathrm e}^{x}+x}\right)^{3}+20 \ln \left(5\right)-20 x +20 \ln \left(x +\frac{12}{5}\right)}{x \ln \left(x \right)}$&$218$\\ \hline \end{longtable}"," ",0,"-10/x/ln(x)*ln(exp(x)+x)+5*(-I*Pi*csgn(I*(x+12/5))^2*csgn(I*(x+12/5)^2)+2*I*Pi*csgn(I*(x+12/5))*csgn(I*(x+12/5)^2)^2-I*Pi*csgn(I*(x+12/5)^2)^3-I*Pi*csgn(I*(x+12/5)^2)*csgn(I/(exp(x)+x))*csgn(I*(x+12/5)^2/(exp(x)+x))+I*Pi*csgn(I*(x+12/5)^2)*csgn(I*(x+12/5)^2/(exp(x)+x))^2+I*Pi*csgn(I/(exp(x)+x))*csgn(I*(x+12/5)^2/(exp(x)+x))^2-I*Pi*csgn(I*(x+12/5)^2/(exp(x)+x))^3+4*ln(5)-4*x+4*ln(x+12/5))/x/ln(x)","C"
2509,1,21,23,0.043000," ","int(1/2*((-2*exp(5*x)-10*x)*exp(2/exp(5*x))-2*x^3*ln(2)*exp(5*x))/x^3/ln(2)/exp(5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{{\mathrm e}^{2 \,{\mathrm e}^{-5 x}}}{2 x^{2} \ln \left(2\right)}$&$21$\\ \hline \end{longtable}"," ",0,"-x+1/2*exp(2*exp(-5*x))/x^2/ln(2)","A"
2510,1,33,29,0.059000," ","int(((750*x^2-2000*x+750)*exp(1)+135*x^6-1080*x^5+2920*x^4-2840*x^3+115*x^2+1200*x-450)/(27*x^6-216*x^5+594*x^4-648*x^3+243*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x +\frac{\frac{50 x^{2}}{27}-\frac{200 x}{27}+\frac{50}{9}-\frac{250 \,{\mathrm e}}{27}}{x \left(x^{2}-4 x +3\right)}$&$33$\\ default&$5 x +\frac{125 \,{\mathrm e}}{27 \left(x -1\right)}-\frac{5 \left(\frac{50 \,{\mathrm e}}{3}-10\right)}{27 x}-\frac{125 \,{\mathrm e}}{81 \left(x -3\right)}$&$34$\\ norman&$\frac{-\frac{1705 x^{2}}{27}+\frac{1420 x}{27}+5 x^{4}+\frac{50}{9}-\frac{250 \,{\mathrm e}}{27}}{x \left(x^{2}-4 x +3\right)}$&$34$\\ gosper&$-\frac{5 \left(-27 x^{4}+341 x^{2}+50 \,{\mathrm e}-284 x -30\right)}{27 x \left(x^{2}-4 x +3\right)}$&$35$\\ \hline \end{longtable}"," ",0,"5*x+(50/27*x^2-200/27*x+50/9-250/27*exp(1))/x/(x^2-4*x+3)","A"
2511,1,65,18,0.103000," ","int(((exp(x)*x+x)*ln(exp(3*x+exp(x))/x)+x*exp(x)^2+(x^2+4*x-1)*exp(x)+3*x^2+2*x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{2 x}+\left(\ln \left(\frac{{\mathrm e}^{3 x +{\mathrm e}^{x}}}{x}\right)-3 x -{\mathrm e}^{x}+\ln \left(x \right)\right) {\mathrm e}^{x}+3 \,{\mathrm e}^{x} x -{\mathrm e}^{x} \ln \left(x \right)+3 x -\ln \left(x \right)+\ln \left(\frac{{\mathrm e}^{3 x +{\mathrm e}^{x}}}{x}\right) x +{\mathrm e}^{x}$&$65$\\ risch&$\left({\mathrm e}^{x}+x \right) \ln \left({\mathrm e}^{3 x +{\mathrm e}^{x}}\right)-x \ln \left(x \right)-{\mathrm e}^{x} \ln \left(x \right)-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x +{\mathrm e}^{x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{3 x +{\mathrm e}^{x}}}{x}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{3 x +{\mathrm e}^{x}}}{x}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{3 x +{\mathrm e}^{x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{3 x +{\mathrm e}^{x}}}{x}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{3 x +{\mathrm e}^{x}}}{x}\right)^{3}}{2}+3 x -\ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x +{\mathrm e}^{x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{3 x +{\mathrm e}^{x}}}{x}\right) {\mathrm e}^{x}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{3 x +{\mathrm e}^{x}}}{x}\right)^{2} {\mathrm e}^{x}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{3 x +{\mathrm e}^{x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{3 x +{\mathrm e}^{x}}}{x}\right)^{2} {\mathrm e}^{x}}{2}-\frac{i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{3 x +{\mathrm e}^{x}}}{x}\right)^{3} {\mathrm e}^{x}}{2}+{\mathrm e}^{x}$&$275$\\ \hline \end{longtable}"," ",0,"exp(x)^2+(ln(exp(3*x+exp(x))/x)-3*x-exp(x)+ln(x))*exp(x)+3*exp(x)*x-exp(x)*ln(x)+3*x-ln(x)+ln(exp(3*x+exp(x))/x)*x+exp(x)","B"
2512,1,28,28,0.404000," ","int(((-6*exp(3)-6*x)*exp(3/x)^2+(-30*exp(3)-30*x)*exp(3/x)-x^2*exp(3)-x^3-32*x^2)/(32*x^2*exp(3)+32*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{32}-\ln \left({\mathrm e}^{3}+x \right)+\frac{{\mathrm e}^{\frac{6}{x}}}{32}+\frac{5 \,{\mathrm e}^{\frac{3}{x}}}{16}$&$28$\\ norman&$\frac{-\frac{x^{2}}{32}+\frac{5 x \,{\mathrm e}^{\frac{3}{x}}}{16}+\frac{{\mathrm e}^{\frac{6}{x}} x}{32}}{x}-\ln \left({\mathrm e}^{3}+x \right)$&$39$\\ derivativedivides&$-\frac{x}{32}-\ln \left(\frac{3 \,{\mathrm e}^{3}}{x}+3\right)+\ln \left(\frac{3}{x}\right)-\frac{15 \,{\mathrm e}^{-3} {\mathrm e}^{-3 \,{\mathrm e}^{-3}} \expIntegralEi \left(1, -\frac{3}{x}-3 \,{\mathrm e}^{-3}\right)}{16}-\frac{3 \,{\mathrm e}^{-3} {\mathrm e}^{-6 \,{\mathrm e}^{-3}} \expIntegralEi \left(1, -\frac{6}{x}-6 \,{\mathrm e}^{-3}\right)}{16}+\frac{5 \,{\mathrm e}^{3} \left({\mathrm e}^{-3} {\mathrm e}^{\frac{3}{x}}+3 \left({\mathrm e}^{-3}\right)^{2} {\mathrm e}^{-3 \,{\mathrm e}^{-3}} \expIntegralEi \left(1, -\frac{3}{x}-3 \,{\mathrm e}^{-3}\right)\right)}{16}+\frac{{\mathrm e}^{3} \left(\frac{{\mathrm e}^{-3} {\mathrm e}^{\frac{6}{x}}}{2}+3 \left({\mathrm e}^{-3}\right)^{2} {\mathrm e}^{-6 \,{\mathrm e}^{-3}} \expIntegralEi \left(1, -\frac{6}{x}-6 \,{\mathrm e}^{-3}\right)\right)}{16}$&$170$\\ default&$-\frac{x}{32}-\ln \left(\frac{3 \,{\mathrm e}^{3}}{x}+3\right)+\ln \left(\frac{3}{x}\right)-\frac{15 \,{\mathrm e}^{-3} {\mathrm e}^{-3 \,{\mathrm e}^{-3}} \expIntegralEi \left(1, -\frac{3}{x}-3 \,{\mathrm e}^{-3}\right)}{16}-\frac{3 \,{\mathrm e}^{-3} {\mathrm e}^{-6 \,{\mathrm e}^{-3}} \expIntegralEi \left(1, -\frac{6}{x}-6 \,{\mathrm e}^{-3}\right)}{16}+\frac{5 \,{\mathrm e}^{3} \left({\mathrm e}^{-3} {\mathrm e}^{\frac{3}{x}}+3 \left({\mathrm e}^{-3}\right)^{2} {\mathrm e}^{-3 \,{\mathrm e}^{-3}} \expIntegralEi \left(1, -\frac{3}{x}-3 \,{\mathrm e}^{-3}\right)\right)}{16}+\frac{{\mathrm e}^{3} \left(\frac{{\mathrm e}^{-3} {\mathrm e}^{\frac{6}{x}}}{2}+3 \left({\mathrm e}^{-3}\right)^{2} {\mathrm e}^{-6 \,{\mathrm e}^{-3}} \expIntegralEi \left(1, -\frac{6}{x}-6 \,{\mathrm e}^{-3}\right)\right)}{16}$&$170$\\ \hline \end{longtable}"," ",0,"-1/32*x-ln(exp(3)+x)+1/32*exp(6/x)+5/16*exp(3/x)","A"
2513,1,30,28,0.384000," ","int((-24*x^2+40)*exp(4*ln(4*x^6-40*x^4+100*x^2)+4*ln(2)^2)/(x^3-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{4 \ln \left(4 x^{6}-40 x^{4}+100 x^{2}\right)+4 \ln \left(2\right)^{2}}$&$30$\\ default&$2048 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} \left(-\frac{1}{8} x^{24}+5 x^{22}-\frac{175}{2} x^{20}+875 x^{18}-\frac{21875}{4} x^{16}+21875 x^{14}-\frac{109375}{2} x^{12}+78125 x^{10}-\frac{390625}{8} x^{8}\right)$&$56$\\ norman&$-100000000 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{8}+160000000 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{10}-112000000 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{12}+44800000 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{14}-11200000 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{16}+1792000 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{18}-179200 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{20}+10240 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{22}-256 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{24}$&$110$\\ risch&$-100000000 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{8}+160000000 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{10}-112000000 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{12}+44800000 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{14}-11200000 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{16}+1792000 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{18}-179200 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{20}+10240 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{22}-256 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{24}$&$110$\\ \hline \end{longtable}"," ",0,"-exp(4*ln(4*x^6-40*x^4+100*x^2)+4*ln(2)^2)","A"
2514,1,16,16,0.021000," ","int((2*x^2+10*x+10)/(2*x^3+5*x^2-10*x-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x^{2}-5\right)-\ln \left(5+2 x \right)$&$16$\\ norman&$\ln \left(x^{2}-5\right)-\ln \left(5+2 x \right)$&$16$\\ risch&$\ln \left(x^{2}-5\right)-\ln \left(5+2 x \right)$&$16$\\ \hline \end{longtable}"," ",0,"ln(x^2-5)-ln(5+2*x)","A"
2515,1,49,24,0.072000," ","int(1/25*(1600*x^12*ln(2)^4+4*(-10*x^9*ln(3)-200*x^6)*ln(2)^2-2*x^6*ln(3)^2+100*x^3*ln(3)-800)/x^9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{4} \ln \left(2\right)^{4}-\frac{8 \ln \left(2\right)^{2} \ln \left(3\right) x}{5}+\frac{100+\left(400 \ln \left(2\right)^{2}+\ln \left(3\right)^{2}\right) x^{6}-20 x^{3} \ln \left(3\right)}{25 x^{8}}$&$49$\\ default&$16 x^{4} \ln \left(2\right)^{4}-\frac{8 \ln \left(2\right)^{2} \ln \left(3\right) x}{5}-\frac{-400 \ln \left(2\right)^{2}-\ln \left(3\right)^{2}}{25 x^{2}}+\frac{4}{x^{8}}-\frac{4 \ln \left(3\right)}{5 x^{5}}$&$50$\\ norman&$\frac{4+\left(16 \ln \left(2\right)^{2}+\frac{\ln \left(3\right)^{2}}{25}\right) x^{6}-\frac{4 x^{3} \ln \left(3\right)}{5}+16 x^{12} \ln \left(2\right)^{4}-\frac{8 \ln \left(2\right)^{2} \ln \left(3\right) x^{9}}{5}}{x^{8}}$&$51$\\ gosper&$\frac{400 x^{12} \ln \left(2\right)^{4}-40 \ln \left(2\right)^{2} \ln \left(3\right) x^{9}+400 x^{6} \ln \left(2\right)^{2}+x^{6} \ln \left(3\right)^{2}-20 x^{3} \ln \left(3\right)+100}{25 x^{8}}$&$52$\\ \hline \end{longtable}"," ",0,"16*x^4*ln(2)^4-8/5*ln(2)^2*ln(3)*x+1/25*(100+(400*ln(2)^2+ln(3)^2)*x^6-20*x^3*ln(3))/x^8","A"
2516,1,18,24,0.048000," ","int(((-5*x^3-16*x^2)*exp(ln(x)+2)+x^10+8*x^9+16*x^8+6*x^5+24*x^4+9)/(x^10+8*x^9+16*x^8+6*x^5+24*x^4+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{{\mathrm e}^{2}}{x^{5}+4 x^{4}+3}$&$18$\\ risch&$x +\frac{{\mathrm e}^{2}}{x^{5}+4 x^{4}+3}$&$18$\\ norman&$\frac{x^{6}-16 x^{4}+3 x -12+{\mathrm e}^{2}}{x^{5}+4 x^{4}+3}$&$29$\\ \hline \end{longtable}"," ",0,"x+exp(2)/(x^5+4*x^4+3)","A"
2517,1,34,26,0.039000," ","int(((40*x^2*ln(3)+12*x^3-64*x^2+28*x)*ln(x)+(20*x^2-20)*ln(3)+4*x^3-32*x^2+28*x)/x/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(20 x^{2} \ln \left(3\right)+4 x^{3}-32 x^{2}+28 x \right) \ln \left(x \right)}{\ln \left(3\right)}-20 \ln \left(x \right)$&$34$\\ norman&$-20 \ln \left(x \right)+\frac{28 x \ln \left(x \right)}{\ln \left(3\right)}+\frac{4 x^{3} \ln \left(x \right)}{\ln \left(3\right)}+\frac{4 \left(5 \ln \left(3\right)-8\right) x^{2} \ln \left(x \right)}{\ln \left(3\right)}$&$43$\\ default&$\frac{40 \ln \left(3\right) \left(\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}\right)+4 x^{3} \ln \left(x \right)-32 x^{2} \ln \left(x \right)+10 x^{2} \ln \left(3\right)+28 x \ln \left(x \right)-20 \ln \left(3\right) \ln \left(x \right)}{\ln \left(3\right)}$&$56$\\ \hline \end{longtable}"," ",0,"1/ln(3)*(20*x^2*ln(3)+4*x^3-32*x^2+28*x)*ln(x)-20*ln(x)","A"
2518,1,16,22,0.024000," ","int((2*ln(9/ln(3)^2)+26)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-2 \left(13+\ln \left(\frac{9}{\ln \left(3\right)^{2}}\right)\right) {\mathrm e}^{-x}$&$16$\\ norman&$\left(-4 \ln \left(3\right)+4 \ln \left(\ln \left(3\right)\right)-26\right) {\mathrm e}^{-x}$&$17$\\ derivativedivides&$-\left(2 \ln \left(\frac{9}{\ln \left(3\right)^{2}}\right)+26\right) {\mathrm e}^{-x}$&$18$\\ default&$-\left(2 \ln \left(\frac{9}{\ln \left(3\right)^{2}}\right)+26\right) {\mathrm e}^{-x}$&$18$\\ risch&$4 \,{\mathrm e}^{-x} \ln \left(\ln \left(3\right)\right)-4 \,{\mathrm e}^{-x} \ln \left(3\right)-26 \,{\mathrm e}^{-x}$&$25$\\ meijerg&$2 \ln \left(\frac{9}{\ln \left(3\right)^{2}}\right) \left(1-{\mathrm e}^{-x}\right)+26-26 \,{\mathrm e}^{-x}$&$26$\\ \hline \end{longtable}"," ",0,"-2*(13+ln(9/ln(3)^2))/exp(x)","A"
2519,1,52,24,0.418000," ","int(((2*x^3+17*x^2+40*x+10)*exp(1)^2+(16*x^3+136*x^2+320*x+80)*exp(1)+32*x^3+272*x^2+640*x+159)/((x^2+8*x+16)*exp(1)^2+(8*x^2+64*x+128)*exp(1)+16*x^2+128*x+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left({\mathrm e}+4\right) x^{3}+\left(5 \,{\mathrm e}+20\right) x^{2}-\frac{10 \,{\mathrm e}^{2}+80 \,{\mathrm e}+159}{{\mathrm e}+4}}{\left(4+x \right) \left({\mathrm e}+4\right)}$&$52$\\ default&$\frac{x^{2} {\mathrm e}^{2}+8 x^{2} {\mathrm e}+{\mathrm e}^{2} x +8 x \,{\mathrm e}+16 x^{2}+16 x -\frac{-6 \,{\mathrm e}^{2}-48 \,{\mathrm e}-97}{4+x}}{{\mathrm e}^{2}+8 \,{\mathrm e}+16}$&$62$\\ gosper&$\frac{x^{3} {\mathrm e}^{2}+5 x^{2} {\mathrm e}^{2}+8 x^{3} {\mathrm e}+40 x^{2} {\mathrm e}+16 x^{3}-10 \,{\mathrm e}^{2}+80 x^{2}-80 \,{\mathrm e}-159}{{\mathrm e}^{2} x +4 \,{\mathrm e}^{2}+8 x \,{\mathrm e}+32 \,{\mathrm e}+16 x +64}$&$83$\\ risch&$x^{2}+x +\frac{6 \,{\mathrm e}^{2}}{{\mathrm e}^{2} x +4 \,{\mathrm e}^{2}+8 x \,{\mathrm e}+32 \,{\mathrm e}+16 x +64}+\frac{48 \,{\mathrm e}}{{\mathrm e}^{2} x +4 \,{\mathrm e}^{2}+8 x \,{\mathrm e}+32 \,{\mathrm e}+16 x +64}+\frac{97}{{\mathrm e}^{2} x +4 \,{\mathrm e}^{2}+8 x \,{\mathrm e}+32 \,{\mathrm e}+16 x +64}$&$88$\\ meijerg&$\frac{159 x}{16 \left({\mathrm e}^{2}+8 \,{\mathrm e}+16\right) \left(1+\frac{x}{4}\right)}+\frac{16 \left(2 \,{\mathrm e}^{2}+16 \,{\mathrm e}+32\right) \left(-\frac{x \left(-\frac{1}{8} x^{2}+\frac{3}{2} x +12\right)}{16 \left(1+\frac{x}{4}\right)}+3 \ln \left(1+\frac{x}{4}\right)\right)}{{\mathrm e}^{2}+8 \,{\mathrm e}+16}+\frac{4 \left(17 \,{\mathrm e}^{2}+136 \,{\mathrm e}+272\right) \left(\frac{x \left(\frac{3 x}{4}+6\right)}{3 x +12}-2 \ln \left(1+\frac{x}{4}\right)\right)}{{\mathrm e}^{2}+8 \,{\mathrm e}+16}+\frac{\left(40 \,{\mathrm e}^{2}+320 \,{\mathrm e}+640\right) \left(-\frac{x}{4 \left(1+\frac{x}{4}\right)}+\ln \left(1+\frac{x}{4}\right)\right)}{{\mathrm e}^{2}+8 \,{\mathrm e}+16}+\frac{5 \,{\mathrm e}^{2} x}{8 \left({\mathrm e}^{2}+8 \,{\mathrm e}+16\right) \left(1+\frac{x}{4}\right)}+\frac{5 \,{\mathrm e} x}{\left({\mathrm e}^{2}+8 \,{\mathrm e}+16\right) \left(1+\frac{x}{4}\right)}$&$201$\\ \hline \end{longtable}"," ",0,"((exp(1)+4)*x^3+(5*exp(1)+20)*x^2-(10*exp(1)^2+80*exp(1)+159)/(exp(1)+4))/(4+x)/(exp(1)+4)","B"
2520,1,17,19,0.023000," ","int((-x-2)*ln(-2*ln(2)+5)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(-2 \ln \left(2\right)+5\right) \left(-x -2 \ln \left(x \right)\right)$&$17$\\ norman&$-\ln \left(-2 \ln \left(2\right)+5\right) x -2 \ln \left(-2 \ln \left(2\right)+5\right) \ln \left(x \right)$&$23$\\ risch&$-\ln \left(-2 \ln \left(2\right)+5\right) x -2 \ln \left(-2 \ln \left(2\right)+5\right) \ln \left(x \right)$&$23$\\ \hline \end{longtable}"," ",0,"ln(-2*ln(2)+5)*(-x-2*ln(x))","A"
2521,1,33,27,0.046000," ","int(((x*ln(x)^2-2*x*ln(x)+x^3)*ln(1/4*exp(16))+x-50)/x^3/ln(1/4*exp(16)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}-\frac{25}{2 \left(\ln \left(2\right)-8\right)}-x \ln \left(x \right)^{2}+\frac{x}{2 \ln \left(2\right)-16}}{x^{2}}$&$33$\\ risch&$\frac{2 \left(\ln \left(2\right)-8\right) \ln \left(x \right)^{2}}{\left(-2 \ln \left(2\right)+16\right) x}-\frac{2 x^{3} \ln \left(2\right)-16 x^{3}+x -25}{\left(-2 \ln \left(2\right)+16\right) x^{2}}$&$51$\\ default&$\frac{-2 \ln \left(2\right) \left(-\frac{\ln \left(x \right)^{2}}{x}-\frac{2 \ln \left(x \right)}{x}-\frac{2}{x}\right)-\frac{16 \ln \left(x \right)^{2}}{x}-\frac{1}{x}-2 x \ln \left(2\right)+16 x +4 \ln \left(2\right) \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)+\frac{25}{x^{2}}}{\ln \left(\frac{{\mathrm e}^{16}}{4}\right)}$&$80$\\ \hline \end{longtable}"," ",0,"(x^3-25/2/(ln(2)-8)-x*ln(x)^2+1/2/(ln(2)-8)*x)/x^2","A"
2522,1,37,22,0.395000," ","int((-4*x*ln(x)+(-20*x^2+36*x+8)*ln(-3*x+6)+(20*x^2-36*x-8)*ln(2)+5*x^2-350*x)/(25*x^2-50*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-\frac{4 x}{5}-\frac{4 \ln \left(x \right)}{25}\right) \ln \left(-3 x +6\right)+\frac{4 x \ln \left(2\right)}{5}+x -12 \ln \left(x -2\right)+\frac{4 \ln \left(2\right) \ln \left(-x \right)}{25}$&$37$\\ norman&$\left(1+\frac{4 \ln \left(2\right)}{5}\right) x +\frac{4 \ln \left(2\right) \ln \left(x \right)}{25}-12 \ln \left(-3 x +6\right)-\frac{4 x \ln \left(-3 x +6\right)}{5}-\frac{4 \ln \left(x \right) \ln \left(-3 x +6\right)}{25}$&$43$\\ default&$x -\frac{68 \ln \left(x -2\right)}{5}-\frac{4 \left(\ln \left(x \right)-\ln \left(\frac{x}{2}\right)\right) \ln \left(1-\frac{x}{2}\right)}{25}+\frac{4 \dilog \left(\frac{x}{2}\right)}{25}+\frac{4 \ln \left(2\right) \ln \left(x \right)}{25}+\frac{4 x \ln \left(2\right)}{5}-\frac{4 \ln \left(3\right) \ln \left(x \right)}{25}-\frac{4 x \ln \left(3\right)}{5}+\frac{4 \left(2-x \right) \ln \left(2-x \right)}{5}-\frac{8}{5}-\frac{4 \left(\ln \left(2-x \right)-\ln \left(1-\frac{x}{2}\right)\right) \ln \left(\frac{x}{2}\right)}{25}+\frac{4 \dilog \left(1-\frac{x}{2}\right)}{25}$&$97$\\ \hline \end{longtable}"," ",0,"(-4/5*x-4/25*ln(x))*ln(-3*x+6)+4/5*x*ln(2)+x-12*ln(x-2)+4/25*ln(2)*ln(-x)","A"
2523,1,26,28,0.059000," ","int(((-6*x^2-2*x)*exp(4)-48*x^2-48*x-12)/(4*x^6+4*x^5+x^4)/ln(ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \,{\mathrm e}^{4}+8 x +4}{x^{3} \ln \left(\ln \left(5\right)\right) \left(2 x +1\right)}$&$26$\\ risch&$\frac{4+2 \left(\frac{{\mathrm e}^{4}}{2}+4\right) x}{x^{3} \ln \left(\ln \left(5\right)\right) \left(2 x +1\right)}$&$28$\\ norman&$\frac{\frac{\left({\mathrm e}^{4}+8\right) x}{\ln \left(\ln \left(5\right)\right)}+\frac{4}{\ln \left(\ln \left(5\right)\right)}}{x^{3} \left(2 x +1\right)}$&$31$\\ default&$\frac{-\frac{2 \,{\mathrm e}^{4}}{x}+\frac{4}{x^{3}}+\frac{{\mathrm e}^{4}}{x^{2}}+\frac{4 \,{\mathrm e}^{4}}{2 x +1}}{\ln \left(\ln \left(5\right)\right)}$&$37$\\ \hline \end{longtable}"," ",0,"1/x^3*(x*exp(4)+8*x+4)/ln(ln(5))/(2*x+1)","A"
2524,1,218135,32,21.025000," ","int((((8*x^4-8*x)*exp(5)*ln(x-2)^3+(-120*x^4+120*x)*exp(5)*ln(x-2)^2+(600*x^4-600*x)*exp(5)*ln(x-2)+(4*x^4-8*x^3+2*x-4)*exp(5)^2+(-1000*x^4+1000*x)*exp(5))*ln((x^3-1)/x)+(8*x^4-8*x)*ln(x-2)^7+(-280*x^4+280*x)*ln(x-2)^6+(4200*x^4-4200*x)*ln(x-2)^5+((4*x^4-8*x^3+2*x-4)*exp(5)-35000*x^4+35000*x)*ln(x-2)^4+(((-8*x^4+8*x)*exp(3)-80*x^4+160*x^3-40*x+80)*exp(5)+175000*x^4-175000*x)*ln(x-2)^3+(((120*x^4-120*x)*exp(3)+600*x^4-1200*x^3+300*x-600)*exp(5)-525000*x^4+525000*x)*ln(x-2)^2+(((-600*x^4+600*x)*exp(3)-2000*x^4+4000*x^3-1000*x+2000)*exp(5)+875000*x^4-875000*x)*ln(x-2)+(-4*x^4+8*x^3-2*x+4)*exp(3)*exp(5)^2+((1000*x^4-1000*x)*exp(3)+2500*x^4-5000*x^3+1250*x-2500)*exp(5)-625000*x^4+625000*x)/(x^5-2*x^4-x^2+2*x)/exp(5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$218135$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
2525,1,10,11,0.021000," ","int((2*x^2-2*x)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x^{2} {\mathrm e}^{-2 x}$&$10$\\ default&$-x^{2} {\mathrm e}^{-2 x}$&$10$\\ norman&$-x^{2} {\mathrm e}^{-2 x}$&$10$\\ risch&$-x^{2} {\mathrm e}^{-2 x}$&$10$\\ meijerg&$-\frac{\left(12 x^{2}+12 x +6\right) {\mathrm e}^{-2 x}}{12}+\frac{\left(4 x +2\right) {\mathrm e}^{-2 x}}{4}$&$29$\\ \hline \end{longtable}"," ",0,"-x^2/exp(x)^2","A"
2526,1,36,25,0.414000," ","int((-x^3*ln(3)^2*ln(x)+((32*x-128)*ln(3)^2+(-16*x+64)*ln(3)+2*x-8)*ln(-x+4)^2+(x^3-4*x^2)*ln(3)^2*ln(-x+4))/(x^4-4*x^3)/ln(3)^2/ln(-x+4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{16}{x^{2}}+\frac{8}{\ln \left(3\right) x^{2}}-\frac{1}{\ln \left(3\right)^{2} x^{2}}+\frac{\ln \left(x \right)}{\ln \left(-x +4\right)}$&$36$\\ \hline \end{longtable}"," ",0,"-16/x^2+8/ln(3)/x^2-1/ln(3)^2/x^2+1/ln(-x+4)*ln(x)","A"
2527,1,19,20,0.067000," ","int((32*x^3+72*x^2+36*x)*exp(4*x^4+12*x^3+9*x^2)^2*exp(exp(4*x^4+12*x^3+9*x^2)^2)+7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$7 x +{\mathrm e}^{{\mathrm e}^{2 x^{2} \left(2 x +3\right)^{2}}}$&$19$\\ default&$7 x +{\mathrm e}^{{\mathrm e}^{8 x^{4}+24 x^{3}+18 x^{2}}}$&$25$\\ norman&$7 x +{\mathrm e}^{{\mathrm e}^{8 x^{4}+24 x^{3}+18 x^{2}}}$&$25$\\ \hline \end{longtable}"," ",0,"7*x+exp(exp(2*x^2*(2*x+3)^2))","A"
2528,1,19,18,0.042000," ","int(1/6*((-20*exp(5)+6*x^3)*ln(x)^3+3*x^4*ln(x)-3*x^4)/x^3/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5 \,{\mathrm e}^{5}}{3 x^{2}}+x +\frac{x^{2}}{4 \ln \left(x \right)^{2}}$&$19$\\ risch&$\frac{3 x^{3}+5 \,{\mathrm e}^{5}}{3 x^{2}}+\frac{x^{2}}{4 \ln \left(x \right)^{2}}$&$26$\\ norman&$\frac{x^{3} \ln \left(x \right)^{2}+\frac{x^{4}}{4}+\frac{5 \,{\mathrm e}^{5} \ln \left(x \right)^{2}}{3}}{x^{2} \ln \left(x \right)^{2}}$&$31$\\ \hline \end{longtable}"," ",0,"5/3*exp(5)/x^2+x+1/4*x^2/ln(x)^2","A"
2529,1,24,20,0.091000," ","int(1/5*((10*x^4+10*x^3-27*x-54)*exp(9/5/x^3)-15*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{x}+\frac{\left(5 x^{2}+10 x \right) {\mathrm e}^{\frac{9}{5 x^{3}}}}{5}$&$24$\\ norman&$\frac{{\mathrm e}^{\frac{9}{5 x^{3}}} x^{4}+3 x +2 \,{\mathrm e}^{\frac{9}{5 x^{3}}} x^{3}}{x^{2}}$&$30$\\ \hline \end{longtable}"," ",0,"3/x+1/5*(5*x^2+10*x)*exp(9/5/x^3)","A"
2530,1,16,16,0.025000," ","int((x-2)*exp(-6*exp(3)+x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x -3\right) {\mathrm e}^{-6 \,{\mathrm e}^{3}+x}-x$&$16$\\ norman&${\mathrm e}^{-6 \,{\mathrm e}^{3}+x} x -x -3 \,{\mathrm e}^{-6 \,{\mathrm e}^{3}+x}$&$23$\\ default&$-x +{\mathrm e}^{-6 \,{\mathrm e}^{3}+x} \left(-6 \,{\mathrm e}^{3}+x \right)-3 \,{\mathrm e}^{-6 \,{\mathrm e}^{3}+x}+6 \,{\mathrm e}^{-6 \,{\mathrm e}^{3}+x} {\mathrm e}^{3}$&$39$\\ derivativedivides&$6 \,{\mathrm e}^{3}-x +{\mathrm e}^{-6 \,{\mathrm e}^{3}+x} \left(-6 \,{\mathrm e}^{3}+x \right)-3 \,{\mathrm e}^{-6 \,{\mathrm e}^{3}+x}+6 \,{\mathrm e}^{-6 \,{\mathrm e}^{3}+x} {\mathrm e}^{3}$&$43$\\ \hline \end{longtable}"," ",0,"(x-3)*exp(-6*exp(3)+x)-x","A"
2531,1,57,25,4.295000," ","int((((10*x^2-50*x+60)*exp(x)^2*exp(exp(exp(5)))-8*exp(x)^2)*ln(1/5*(-5*x^2+25*x-30)*exp(exp(exp(5)))+4/5)^2+((20*x^2-80*x+70)*exp(x)^2*exp(exp(exp(5)))-16*exp(x)^2)*ln(1/5*(-5*x^2+25*x-30)*exp(exp(exp(5)))+4/5)+(10*x^2-30*x+10)*exp(x)^2*exp(exp(exp(5)))-8*exp(x)^2)/((5*x^2-25*x+30)*exp(exp(exp(5)))-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x} \ln \left(\frac{\left(-5 x^{2}+25 x -30\right) {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{5}}}}{5}+\frac{4}{5}\right)^{2}+2 \,{\mathrm e}^{2 x} \ln \left(\frac{\left(-5 x^{2}+25 x -30\right) {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{5}}}}{5}+\frac{4}{5}\right)+{\mathrm e}^{2 x}$&$57$\\ \hline \end{longtable}"," ",0,"exp(2*x)*ln(1/5*(-5*x^2+25*x-30)*exp(exp(exp(5)))+4/5)^2+2*exp(2*x)*ln(1/5*(-5*x^2+25*x-30)*exp(exp(exp(5)))+4/5)+exp(2*x)","B"
2532,1,21,20,0.050000," ","int(((2*x*exp(x)^2+4*x^4+x)*ln(x)-2*x*exp(x)^2-4*x^4-x-1)*exp(exp(x)^2+exp(2)+x^4+x+1/5)/(x*ln(x)^2-2*x*ln(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{{\mathrm e}^{2 x}+{\mathrm e}^{2}+x^{4}+x +\frac{1}{5}}}{\ln \left(x \right)-1}$&$21$\\ \hline \end{longtable}"," ",0,"exp(exp(2*x)+exp(2)+x^4+x+1/5)/(ln(x)-1)","A"
2533,1,11,10,0.051000," ","int((16*ln(26/25*x)*ln(ln(26/25*x))^4+64*ln(ln(26/25*x))^3)/ln(26/25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$16 \ln \left(\ln \left(\frac{26 x}{25}\right)\right)^{4} x$&$11$\\ risch&$16 \ln \left(\ln \left(\frac{26 x}{25}\right)\right)^{4} x$&$11$\\ \hline \end{longtable}"," ",0,"16*ln(ln(26/25*x))^4*x","A"
2534,1,82,29,0.149000," ","int(((-x^2-4)*ln(1/3*x^2)+(4*x^2-8*x+4)*ln(x)+x^3+x^2+7*x-4)/(x^2*ln(1/3*x^2)^2+((2*x^3-2*x^2)*ln(x)-2*x^3)*ln(1/3*x^2)+(x^4-2*x^3+x^2)*ln(x)^2+(-2*x^4+2*x^3)*ln(x)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(x^{2}+3 x -4\right)}{x \left(-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 x \ln \left(x \right)-2 \ln \left(3\right)-2 x +2 \ln \left(x \right)\right)}$&$82$\\ \hline \end{longtable}"," ",0,"-2*(x^2+3*x-4)/x/(-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3+2*x*ln(x)-2*ln(3)-2*x+2*ln(x))","C"
2535,1,18,27,0.040000," ","int(((-3*x^2-3)*exp(1/4*x^2)^2-exp(x)+2)/(9*x^2*exp(1/4*x^2)^4+(6*exp(x)*x-12*x^2)*exp(1/4*x^2)^2+exp(x)^2-4*exp(x)*x+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{3 x \,{\mathrm e}^{\frac{x^{2}}{2}}+{\mathrm e}^{x}-2 x}$&$18$\\ \hline \end{longtable}"," ",0,"1/(3*x*exp(1/2*x^2)+exp(x)-2*x)","A"
2536,1,1756,27,0.871000," ","int(((((ln(3/4/x^2)+ln(5)-5)*ln(x)^2+3*ln(3/4/x^2)+3*ln(5)-15)*ln(ln(x)^2+3)^2+(-x*ln(x)^2-3*x)*ln(ln(x)^2+3))*ln(((ln(3/4/x^2)+ln(5)-5)*ln(ln(x)^2+3)-x)/ln(ln(x)^2+3))+(2*ln(x)^2+6)*ln(ln(x)^2+3)^2+(x*ln(x)^2+3*x)*ln(ln(x)^2+3)-2*x*ln(x))/(((ln(3/4/x^2)+ln(5)-5)*ln(x)^2+3*ln(3/4/x^2)+3*ln(5)-15)*ln(ln(x)^2+3)^2+(-x*ln(x)^2-3*x)*ln(ln(x)^2+3))/ln(((ln(3/4/x^2)+ln(5)-5)*ln(ln(x)^2+3)-x)/ln(ln(x)^2+3))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$1756$\\ \hline \end{longtable}"," ",0,"2*I*x/(Pi*csgn(I/ln(ln(x)^2+3)*(-2*I*x-ln(ln(x)^2+3)*Pi*csgn(I*x^2)^3+2*I*ln(ln(x)^2+3)*ln(3/4)-4*I*ln(ln(x)^2+3)*ln(x)+2*I*ln(ln(x)^2+3)*ln(5)+2*ln(ln(x)^2+3)*Pi*csgn(I*x)*csgn(I*x^2)^2-ln(ln(x)^2+3)*Pi*csgn(I*x)^2*csgn(I*x^2)-10*I*ln(ln(x)^2+3)))*csgn((-2*I*x-ln(ln(x)^2+3)*Pi*csgn(I*x^2)^3+2*I*ln(ln(x)^2+3)*ln(3/4)-4*I*ln(ln(x)^2+3)*ln(x)+2*I*ln(ln(x)^2+3)*ln(5)+2*ln(ln(x)^2+3)*Pi*csgn(I*x)*csgn(I*x^2)^2-ln(ln(x)^2+3)*Pi*csgn(I*x)^2*csgn(I*x^2)-10*I*ln(ln(x)^2+3))/ln(ln(x)^2+3))-Pi*csgn((-2*I*x-ln(ln(x)^2+3)*Pi*csgn(I*x^2)^3+2*I*ln(ln(x)^2+3)*ln(3/4)-4*I*ln(ln(x)^2+3)*ln(x)+2*I*ln(ln(x)^2+3)*ln(5)+2*ln(ln(x)^2+3)*Pi*csgn(I*x)*csgn(I*x^2)^2-ln(ln(x)^2+3)*Pi*csgn(I*x)^2*csgn(I*x^2)-10*I*ln(ln(x)^2+3))/ln(ln(x)^2+3))^2+Pi*csgn(I*(-2*I*x-ln(ln(x)^2+3)*Pi*csgn(I*x^2)^3+2*I*ln(ln(x)^2+3)*ln(3/4)-4*I*ln(ln(x)^2+3)*ln(x)+2*I*ln(ln(x)^2+3)*ln(5)+2*ln(ln(x)^2+3)*Pi*csgn(I*x)*csgn(I*x^2)^2-ln(ln(x)^2+3)*Pi*csgn(I*x)^2*csgn(I*x^2)-10*I*ln(ln(x)^2+3)))*csgn(I/ln(ln(x)^2+3))*csgn(I/ln(ln(x)^2+3)*(-2*I*x-ln(ln(x)^2+3)*Pi*csgn(I*x^2)^3+2*I*ln(ln(x)^2+3)*ln(3/4)-4*I*ln(ln(x)^2+3)*ln(x)+2*I*ln(ln(x)^2+3)*ln(5)+2*ln(ln(x)^2+3)*Pi*csgn(I*x)*csgn(I*x^2)^2-ln(ln(x)^2+3)*Pi*csgn(I*x)^2*csgn(I*x^2)-10*I*ln(ln(x)^2+3)))-Pi*csgn(I*(-2*I*x-ln(ln(x)^2+3)*Pi*csgn(I*x^2)^3+2*I*ln(ln(x)^2+3)*ln(3/4)-4*I*ln(ln(x)^2+3)*ln(x)+2*I*ln(ln(x)^2+3)*ln(5)+2*ln(ln(x)^2+3)*Pi*csgn(I*x)*csgn(I*x^2)^2-ln(ln(x)^2+3)*Pi*csgn(I*x)^2*csgn(I*x^2)-10*I*ln(ln(x)^2+3)))*csgn(I/ln(ln(x)^2+3)*(-2*I*x-ln(ln(x)^2+3)*Pi*csgn(I*x^2)^3+2*I*ln(ln(x)^2+3)*ln(3/4)-4*I*ln(ln(x)^2+3)*ln(x)+2*I*ln(ln(x)^2+3)*ln(5)+2*ln(ln(x)^2+3)*Pi*csgn(I*x)*csgn(I*x^2)^2-ln(ln(x)^2+3)*Pi*csgn(I*x)^2*csgn(I*x^2)-10*I*ln(ln(x)^2+3)))^2-Pi*csgn(I/ln(ln(x)^2+3))*csgn(I/ln(ln(x)^2+3)*(-2*I*x-ln(ln(x)^2+3)*Pi*csgn(I*x^2)^3+2*I*ln(ln(x)^2+3)*ln(3/4)-4*I*ln(ln(x)^2+3)*ln(x)+2*I*ln(ln(x)^2+3)*ln(5)+2*ln(ln(x)^2+3)*Pi*csgn(I*x)*csgn(I*x^2)^2-ln(ln(x)^2+3)*Pi*csgn(I*x)^2*csgn(I*x^2)-10*I*ln(ln(x)^2+3)))^2+Pi*csgn(I/ln(ln(x)^2+3)*(-2*I*x-ln(ln(x)^2+3)*Pi*csgn(I*x^2)^3+2*I*ln(ln(x)^2+3)*ln(3/4)-4*I*ln(ln(x)^2+3)*ln(x)+2*I*ln(ln(x)^2+3)*ln(5)+2*ln(ln(x)^2+3)*Pi*csgn(I*x)*csgn(I*x^2)^2-ln(ln(x)^2+3)*Pi*csgn(I*x)^2*csgn(I*x^2)-10*I*ln(ln(x)^2+3)))^3-Pi*csgn(I/ln(ln(x)^2+3)*(-2*I*x-ln(ln(x)^2+3)*Pi*csgn(I*x^2)^3+2*I*ln(ln(x)^2+3)*ln(3/4)-4*I*ln(ln(x)^2+3)*ln(x)+2*I*ln(ln(x)^2+3)*ln(5)+2*ln(ln(x)^2+3)*Pi*csgn(I*x)*csgn(I*x^2)^2-ln(ln(x)^2+3)*Pi*csgn(I*x)^2*csgn(I*x^2)-10*I*ln(ln(x)^2+3)))*csgn((-2*I*x-ln(ln(x)^2+3)*Pi*csgn(I*x^2)^3+2*I*ln(ln(x)^2+3)*ln(3/4)-4*I*ln(ln(x)^2+3)*ln(x)+2*I*ln(ln(x)^2+3)*ln(5)+2*ln(ln(x)^2+3)*Pi*csgn(I*x)*csgn(I*x^2)^2-ln(ln(x)^2+3)*Pi*csgn(I*x)^2*csgn(I*x^2)-10*I*ln(ln(x)^2+3))/ln(ln(x)^2+3))^2+Pi*csgn((-2*I*x-ln(ln(x)^2+3)*Pi*csgn(I*x^2)^3+2*I*ln(ln(x)^2+3)*ln(3/4)-4*I*ln(ln(x)^2+3)*ln(x)+2*I*ln(ln(x)^2+3)*ln(5)+2*ln(ln(x)^2+3)*Pi*csgn(I*x)*csgn(I*x^2)^2-ln(ln(x)^2+3)*Pi*csgn(I*x)^2*csgn(I*x^2)-10*I*ln(ln(x)^2+3))/ln(ln(x)^2+3))^3+Pi-2*I*ln(2)-2*I*ln(ln(ln(x)^2+3))+2*I*ln(-2*I*x-ln(ln(x)^2+3)*Pi*csgn(I*x^2)^3+2*I*ln(ln(x)^2+3)*(ln(3)-2*ln(2))-4*I*ln(ln(x)^2+3)*ln(x)+2*I*ln(ln(x)^2+3)*ln(5)+2*ln(ln(x)^2+3)*Pi*csgn(I*x)*csgn(I*x^2)^2-ln(ln(x)^2+3)*Pi*csgn(I*x)^2*csgn(I*x^2)-10*I*ln(ln(x)^2+3)))","C"
2537,1,20,23,0.445000," ","int(((60*x+28)*ln(1/15*(15*x+7)/x)*ln(x^2)-7)/(15*x^2+7*x)/ln(1/15*(15*x+7)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x^{2}\right)^{2}+\ln \left(\ln \left(\frac{15 x +7}{15 x}\right)\right)$&$20$\\ default&$\ln \left(x^{2}\right)^{2}+\ln \left(-\ln \left(15\right)+\ln \left(15+\frac{7}{x}\right)\right)$&$22$\\ risch&$-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+4 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3}+4 \ln \left(x \right)^{2}+\ln \left(\ln \left(x +\frac{7}{15}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x +\frac{7}{15}\right)\right) \mathrm{csgn}\left(\frac{i \left(x +\frac{7}{15}\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x +\frac{7}{15}\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x +\frac{7}{15}\right)\right) \mathrm{csgn}\left(\frac{i \left(x +\frac{7}{15}\right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x +\frac{7}{15}\right)}{x}\right)^{3}-2 i \ln \left(x \right)\right)}{2}\right)$&$162$\\ \hline \end{longtable}"," ",0,"ln(x^2)^2+ln(ln(1/15*(15*x+7)/x))","A"
2538,1,16,19,0.072000," ","int((-2*x*exp(2)*exp(2*x)-exp(2))*exp(exp(2*x))+exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{2} x \,{\mathrm e}^{{\mathrm e}^{2 x}}+{\mathrm e}^{2} x$&$16$\\ norman&$-{\mathrm e}^{2} x \,{\mathrm e}^{{\mathrm e}^{2 x}}+{\mathrm e}^{2} x$&$16$\\ risch&$-x \,{\mathrm e}^{2+{\mathrm e}^{2 x}}+{\mathrm e}^{2} x$&$16$\\ \hline \end{longtable}"," ",0,"-exp(2)*x*exp(exp(2*x))+exp(2)*x","A"
2539,1,33,29,1.003000," ","int(((2*x^3+12*x^2)*ln(4*exp(x))^2+((-4*x^3-24*x^2)*ln(x+6)+3*x+18)*ln(4*exp(x))+(2*x^3+12*x^2)*ln(x+6)^2+(-3*x-18)*ln(x+6)+(-3*x^2-15*x)*ln(x))/((3*x^2+18*x)*ln(4*exp(x))^2+(-6*x^2-36*x)*ln(x+6)*ln(4*exp(x))+(3*x^2+18*x)*ln(x+6)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{3}+\frac{2 i \ln \left(x \right)}{4 i \ln \left(2\right)-2 i \ln \left(x +6\right)+2 i \ln \left({\mathrm e}^{x}\right)}$&$33$\\ \hline \end{longtable}"," ",0,"1/3*x^2+2*I*ln(x)/(4*I*ln(2)-2*I*ln(x+6)+2*I*ln(exp(x)))","C"
2540,1,6,9,0.007000," ","int(-19/25*exp(16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{19 x \,{\mathrm e}^{16}}{25}$&$6$\\ norman&$-\frac{19 x \,{\mathrm e}^{16}}{25}$&$6$\\ risch&$-\frac{19 x \,{\mathrm e}^{16}}{25}$&$6$\\ \hline \end{longtable}"," ",0,"-19/25*x*exp(16)","A"
2541,1,21,20,0.054000," ","int((exp(exp(-225*x^6+450*x^5)+x^2)+(1350*x^5-2250*x^4)*exp(-225*x^6+450*x^5)-2*x)/exp(exp(-225*x^6+450*x^5)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-{\mathrm e}^{-225 x^{5} \left(x -2\right)}-x^{2}}$&$21$\\ norman&$\left(1+x \,{\mathrm e}^{{\mathrm e}^{-225 x^{6}+450 x^{5}}+x^{2}}\right) {\mathrm e}^{-{\mathrm e}^{-225 x^{6}+450 x^{5}}-x^{2}}$&$42$\\ \hline \end{longtable}"," ",0,"x+exp(-exp(-225*x^5*(x-2))-x^2)","A"
2542,1,28,29,0.342000," ","int(((-exp(4*x+4)+5+ln(3))*ln(-9/(exp(4*x+4)-ln(3)-5))+(8*x+2)*exp(4*x+4)-2*ln(3)-10)/((x*exp(4*x+4)-x*ln(3)-5*x)*ln(-9/(exp(4*x+4)-ln(3)-5))-2*x*exp(4*x+4)+2*x*ln(3)+10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)-2 \ln \left(\ln \left(-\frac{9}{{\mathrm e}^{4 x +4}-\ln \left(3\right)-5}\right)-2\right)$&$28$\\ default&$-\ln \left(x \right)-2 \ln \left(-\ln \left(-\frac{9}{{\mathrm e}^{4 x +4}-\ln \left(3\right)-5}\right)+2\right)$&$30$\\ risch&$-\ln \left(x \right)-2 \ln \left(\ln \left(-{\mathrm e}^{4 x +4}+5+\ln \left(3\right)\right)+\frac{i \left(4 i \ln \left(3\right)-4 i\right)}{2}\right)$&$34$\\ \hline \end{longtable}"," ",0,"-ln(x)-2*ln(ln(-9/(exp(4*x+4)-ln(3)-5))-2)","A"
2543,1,56,31,0.331000," ","int(((exp(x)-3*x-3)*exp(x*ln(5)^2+(-2*x^2+10*x)*ln(5)+x^3-10*x^2+25*x)^2+((-x*ln(5)^2+(4*x^2-10*x)*ln(5)-3*x^3+20*x^2-23*x+1)*exp(x)+3*x*ln(5)^2+(-12*x^2+30*x)*ln(5)+9*x^3-66*x^2+66*x-3)*exp(x*ln(5)^2+(-2*x^2+10*x)*ln(5)+x^3-10*x^2+25*x)+exp(x)*x^2-3*x^3-6*x^2)/(x^2*exp(x)*exp(x*ln(5)^2+(-2*x^2+10*x)*ln(5)+x^3-10*x^2+25*x)^2+(2*x^3+2*x^2)*exp(x)*exp(x*ln(5)^2+(-2*x^2+10*x)*ln(5)+x^3-10*x^2+25*x)+(x^4+2*x^3+x^2)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{x}+\frac{3 \,{\mathrm e}^{-x}}{x}+\frac{\left({\mathrm e}^{x}-3\right) {\mathrm e}^{-x}}{x \left(x +\left(\frac{1}{25}\right)^{\left(x -5\right) x} {\mathrm e}^{x \left(\ln \left(5\right)^{2}+x^{2}-10 x +25\right)}+1\right)}$&$56$\\ norman&$\frac{\left(-{\mathrm e}^{x} x +3 x -{\mathrm e}^{x} {\mathrm e}^{x \ln \left(5\right)^{2}+\left(-2 x^{2}+10 x \right) \ln \left(5\right)+x^{3}-10 x^{2}+25 x}+3 \,{\mathrm e}^{x \ln \left(5\right)^{2}+\left(-2 x^{2}+10 x \right) \ln \left(5\right)+x^{3}-10 x^{2}+25 x}\right) {\mathrm e}^{-x}}{x \left(x +{\mathrm e}^{x \ln \left(5\right)^{2}+\left(-2 x^{2}+10 x \right) \ln \left(5\right)+x^{3}-10 x^{2}+25 x}+1\right)}$&$122$\\ \hline \end{longtable}"," ",0,"-1/x+3*exp(-x)/x+(exp(x)-3)/x*exp(-x)/(x+(1/25)^((x-5)*x)*exp(x*(ln(5)^2+x^2-10*x+25))+1)","A"
2544,1,22,24,0.043000," ","int(((25*x^2+150*x)*exp(x)+25)*exp((5+x)*exp(x)+1)-2*x+101,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$101 x +25 x \,{\mathrm e}^{\left(5+x \right) {\mathrm e}^{x}+1}-x^{2}$&$22$\\ norman&$101 x +25 x \,{\mathrm e}^{\left(5+x \right) {\mathrm e}^{x}+1}-x^{2}$&$22$\\ risch&$101 x +25 x \,{\mathrm e}^{{\mathrm e}^{x} x +5 \,{\mathrm e}^{x}+1}-x^{2}$&$24$\\ \hline \end{longtable}"," ",0,"101*x+25*x*exp((5+x)*exp(x)+1)-x^2","A"
2545,1,35,28,0.201000," ","int(((((-8*x-8)*ln(x)-8*x^2-12*x)*exp(ln(x)^2+2*x*ln(x)+x^2+x+4)-2)*exp(exp(ln(x)^2+2*x*ln(x)+x^2+x+4))^2+(-6*exp(x)*x-2)*exp(3*exp(x)-2))/(x^2*exp(exp(ln(x)^2+2*x*ln(x)+x^2+x+4))^4+2*x^2*exp(3*exp(x)-2)*exp(exp(ln(x)^2+2*x*ln(x)+x^2+x+4))^2+x^2*exp(3*exp(x)-2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{x \left({\mathrm e}^{2 x^{2 x} {\mathrm e}^{\ln \left(x \right)^{2}+4+x^{2}+x}}+{\mathrm e}^{3 \,{\mathrm e}^{x}-2}\right)}$&$35$\\ \hline \end{longtable}"," ",0,"2/x/(exp(2*x^(2*x)*exp(ln(x)^2+4+x^2+x))+exp(3*exp(x)-2))","A"
2546,1,67,32,0.066000," ","int(((162*x^4+972*x^3)*exp(1/3*x)^2*ln(x)^2+(450*x^3+18*x^2+540*x)*exp(1/3*x)^2*ln(x)+(-52*x^2+256*x+20)*exp(1/3*x)^2)/(54*ln(2)-81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{243 \ln \left(x \right)^{2} {\mathrm e}^{\frac{2 x}{3}} x^{4}}{54 \ln \left(2\right)-81}-\frac{54 x^{2} \left(x -5\right) {\mathrm e}^{\frac{2 x}{3}} \ln \left(x \right)}{54 \ln \left(2\right)-81}+\frac{3 \left(x^{2}-10 x +25\right) {\mathrm e}^{\frac{2 x}{3}}}{54 \ln \left(2\right)-81}$&$67$\\ \hline \end{longtable}"," ",0,"243/(54*ln(2)-81)*ln(x)^2*exp(2/3*x)*x^4-54/(54*ln(2)-81)*x^2*(x-5)*exp(2/3*x)*ln(x)+3/(54*ln(2)-81)*(x^2-10*x+25)*exp(2/3*x)","B"
2547,1,24,21,0.116000," ","int((32*x^3+4*x^2+2508)*ln((4*x^3+x^2-627)/x)^3/(324*x^4+81*x^3-50787*x)/exp(3)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{-12} \ln \left(\frac{4 x^{3}+x^{2}-627}{x}\right)^{4}}{81}$&$24$\\ \hline \end{longtable}"," ",0,"1/81/exp(3)^4*ln((4*x^3+x^2-627)/x)^4","A"
2548,1,28,16,0.051000," ","int((x*exp(x)*ln(x)*ln(ln(x))^2+12*ln(1/3*ln(2)))/(x*exp(x)*ln(x)*ln(ln(x))^2-12*x*ln(x)*ln(1/3*ln(2))*ln(ln(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\ln \left(\ln \left(\ln \left(x \right)\right)\right)+\ln \left(\ln \left(\ln \left(x \right)\right)-12 \left(-\ln \left(3\right)+\ln \left(\ln \left(2\right)\right)\right) {\mathrm e}^{-x}\right)$&$28$\\ \hline \end{longtable}"," ",0,"x-ln(ln(ln(x)))+ln(ln(ln(x))-12*(-ln(3)+ln(ln(2)))*exp(-x))","A"
2549,1,16,20,0.037000," ","int((x^2-9)/x^2/ln(ln(3/5)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x +\frac{9}{x}}{\ln \left(\ln \left(\frac{3}{5}\right)+4\right)}$&$16$\\ gosper&$\frac{x^{2}+9}{x \ln \left(\ln \left(\frac{3}{5}\right)+4\right)}$&$17$\\ norman&$\frac{\frac{x^{2}}{\ln \left(\ln \left(\frac{3}{5}\right)+4\right)}+\frac{9}{\ln \left(\ln \left(\frac{3}{5}\right)+4\right)}}{x}$&$26$\\ risch&$\frac{x}{\ln \left(\ln \left(3\right)-\ln \left(5\right)+4\right)}+\frac{9}{\ln \left(\ln \left(3\right)-\ln \left(5\right)+4\right) x}$&$31$\\ \hline \end{longtable}"," ",0,"1/ln(ln(3/5)+4)*(x+9/x)","A"
2550,1,87,31,0.064000," ","int(((-x^5-15*x^4-64*x^3-67*x^2+10*x)*exp(x-5)+6*x^5+50*x^4+96*x^3-15*x^2)/(2*ln(2)-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{-9875 \,{\mathrm e}^{x -5} \left(x -5\right)-12250 \,{\mathrm e}^{x -5}-3105 \,{\mathrm e}^{x -5} \left(x -5\right)^{2}-474 \,{\mathrm e}^{x -5} \left(x -5\right)^{3}-35 \,{\mathrm e}^{x -5} \left(x -5\right)^{4}-{\mathrm e}^{x -5} \left(x -5\right)^{5}-5 x^{3}+24 x^{4}+10 x^{5}+x^{6}}{2 \ln \left(2\right)-6}$&$87$\\ default&$\frac{-9875 \,{\mathrm e}^{x -5} \left(x -5\right)-12250 \,{\mathrm e}^{x -5}-3105 \,{\mathrm e}^{x -5} \left(x -5\right)^{2}-474 \,{\mathrm e}^{x -5} \left(x -5\right)^{3}-35 \,{\mathrm e}^{x -5} \left(x -5\right)^{4}-{\mathrm e}^{x -5} \left(x -5\right)^{5}-5 x^{3}+24 x^{4}+10 x^{5}+x^{6}}{2 \ln \left(2\right)-6}$&$87$\\ risch&$\frac{x^{6}}{2 \ln \left(2\right)-6}+\frac{10 x^{5}}{2 \ln \left(2\right)-6}+\frac{24 x^{4}}{2 \ln \left(2\right)-6}-\frac{5 x^{3}}{2 \ln \left(2\right)-6}+\frac{\left(-x^{5}-10 x^{4}-24 x^{3}+5 x^{2}\right) {\mathrm e}^{x -5}}{2 \ln \left(2\right)-6}$&$87$\\ norman&$-\frac{5 x^{3}}{2 \left(\ln \left(2\right)-3\right)}+\frac{12 x^{4}}{\ln \left(2\right)-3}+\frac{5 x^{5}}{\ln \left(2\right)-3}+\frac{x^{6}}{2 \ln \left(2\right)-6}+\frac{5 x^{2} {\mathrm e}^{x -5}}{2 \left(\ln \left(2\right)-3\right)}-\frac{12 x^{3} {\mathrm e}^{x -5}}{\ln \left(2\right)-3}-\frac{5 x^{4} {\mathrm e}^{x -5}}{\ln \left(2\right)-3}-\frac{x^{5} {\mathrm e}^{x -5}}{2 \left(\ln \left(2\right)-3\right)}$&$106$\\ \hline \end{longtable}"," ",0,"1/2/(ln(2)-3)*(-9875*exp(x-5)*(x-5)-12250*exp(x-5)-3105*exp(x-5)*(x-5)^2-474*exp(x-5)*(x-5)^3-35*exp(x-5)*(x-5)^4-exp(x-5)*(x-5)^5-5*x^3+24*x^4+10*x^5+x^6)","B"
2551,1,19,24,0.043000," ","int(1/10*(4*x*ln(2)-50*ln(2)-25*I*Pi)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{5}-5 x -\frac{5 i \pi  x}{2 \ln \left(2\right)}$&$19$\\ norman&$\frac{x^{2}}{5}-\frac{5 \left(2 \ln \left(2\right)+i \pi \right) x}{2 \ln \left(2\right)}$&$23$\\ default&$\frac{2 x^{2} \ln \left(2\right)-50 x \ln \left(2\right)-25 i x \pi}{10 \ln \left(2\right)}$&$25$\\ gosper&$-\frac{x \left(2 i x \ln \left(2\right)-50 i \ln \left(2\right)+25 \pi \right) \left(25 i \pi -4 x \ln \left(2\right)+50 \ln \left(2\right)\right)}{10 \left(4 i x \ln \left(2\right)-50 i \ln \left(2\right)+25 \pi \right) \ln \left(2\right)}$&$54$\\ \hline \end{longtable}"," ",0,"1/5*x^2-5*x-5/2*I/ln(2)*Pi*x","A"
2552,1,22,24,0.023000," ","int(-4*exp(4*x)+1/5*(2*x-6)*exp(3)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\frac{{\mathrm e}^{3} \left(x^{2}-6 x \right)}{5}-{\mathrm e}^{4 x}$&$22$\\ norman&$\left(-\frac{6 \,{\mathrm e}^{3}}{5}-1\right) x +\frac{x^{2} {\mathrm e}^{3}}{5}-{\mathrm e}^{4 x}$&$23$\\ risch&$-{\mathrm e}^{4 x}+\frac{x^{2} {\mathrm e}^{3}}{5}-\frac{6 x \,{\mathrm e}^{3}}{5}-x$&$23$\\ derivativedivides&$-x +\frac{{\mathrm e}^{3} \left(4 x^{2}-24 x \right)}{20}-{\mathrm e}^{4 x}$&$24$\\ \hline \end{longtable}"," ",0,"-x+1/5*exp(3)*(x^2-6*x)-exp(4*x)","A"
2553,1,31,21,0.073000," ","int(((x^3-x^2-5*x+112)*exp(((7*x-28)*ln(x)+x^2-4*x-35)/(35*x-140))-35*x^2+280*x-560)/(35*x^3-280*x^2+560*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+{\mathrm e}^{\frac{7 x \ln \left(x \right)+x^{2}-28 \ln \left(x \right)-4 x -35}{35 x -140}}$&$31$\\ norman&$\frac{x \,{\mathrm e}^{\frac{\left(7 x -28\right) \ln \left(x \right)+x^{2}-4 x -35}{35 x -140}}-4 \,{\mathrm e}^{\frac{\left(7 x -28\right) \ln \left(x \right)+x^{2}-4 x -35}{35 x -140}}}{x -4}-\ln \left(x \right)$&$67$\\ default&$\frac{35 x \,{\mathrm e}^{\frac{\left(7 x -28\right) \ln \left(x \right)+x^{2}-4 x -35}{35 x -140}}-140 \,{\mathrm e}^{\frac{\left(7 x -28\right) \ln \left(x \right)+x^{2}-4 x -35}{35 x -140}}}{35 x -140}-\ln \left(x \right)$&$69$\\ \hline \end{longtable}"," ",0,"-ln(x)+exp(1/35*(7*x*ln(x)+x^2-28*ln(x)-4*x-35)/(x-4))","A"
2554,1,16,23,0.014000," ","int(1/4*((x^2+8*x)*ln(x)^2+4)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{8}+2 x -\frac{1}{\ln \left(x \right)}$&$16$\\ risch&$\frac{x^{2}}{8}+2 x -\frac{1}{\ln \left(x \right)}$&$16$\\ norman&$\frac{-1+2 x \ln \left(x \right)+\frac{x^{2} \ln \left(x \right)}{8}}{\ln \left(x \right)}$&$20$\\ \hline \end{longtable}"," ",0,"1/8*x^2+2*x-1/ln(x)","A"
2555,1,121,26,12.842000," ","int((9*exp(2*ln(2)+exp(2))*ln(x)+(4*x+9)*ln((12*x+27)/x)^2)*exp(exp(2*ln(2)+exp(2))/ln((12*x+27)/x))/(4*x^2+9*x)/ln((12*x+27)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right) {\mathrm e}^{\frac{8 \,{\mathrm e}^{{\mathrm e}^{2}}}{-i \pi  \mathrm{csgn}\left(\frac{i \left(x +\frac{9}{4}\right)}{x}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \left(x +\frac{9}{4}\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+i \pi  \mathrm{csgn}\left(\frac{i \left(x +\frac{9}{4}\right)}{x}\right)^{2} \mathrm{csgn}\left(i \left(x +\frac{9}{4}\right)\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left(x +\frac{9}{4}\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x +\frac{9}{4}\right)\right)+2 \ln \left(3\right)+4 \ln \left(2\right)-2 \ln \left(x \right)+2 \ln \left(x +\frac{9}{4}\right)}}$&$121$\\ \hline \end{longtable}"," ",0,"ln(x)*exp(8*exp(exp(2))/(-I*Pi*csgn(I/x*(x+9/4))^3+I*Pi*csgn(I/x*(x+9/4))^2*csgn(I/x)+I*Pi*csgn(I/x*(x+9/4))^2*csgn(I*(x+9/4))-I*Pi*csgn(I/x*(x+9/4))*csgn(I/x)*csgn(I*(x+9/4))+2*ln(3)+4*ln(2)-2*ln(x)+2*ln(x+9/4)))","C"
2556,1,8,13,0.402000," ","int(1/(exp(exp(1)^4)+x+7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{{\mathrm e}^{4}}+x +7\right)$&$8$\\ default&$\ln \left({\mathrm e}^{{\mathrm e}^{4}}+x +7\right)$&$10$\\ norman&$\ln \left({\mathrm e}^{{\mathrm e}^{4}}+x +7\right)$&$10$\\ meijerg&$\ln \left(1+\frac{x}{{\mathrm e}^{{\mathrm e}^{4}}+7}\right)$&$13$\\ \hline \end{longtable}"," ",0,"ln(exp(exp(4))+x+7)","A"
2557,1,24,26,0.139000," ","int(((-50*exp(x)-2)*ln(25*exp(x)*x+x)+(25*x*ln(3)^2-50*x+25)*exp(x)+x*ln(3)^2-3*x+1)/(25*exp(x)*x^3+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-\ln \left(3\right)^{2}+3\right) x +\ln \left(25 \,{\mathrm e}^{x} x +x \right)}{x^{2}}$&$24$\\ risch&$\frac{\ln \left({\mathrm e}^{x}+\frac{1}{25}\right)}{x^{2}}+\frac{-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+\frac{1}{25}\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+\frac{1}{25}\right)\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+\frac{1}{25}\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+\frac{1}{25}\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+\frac{1}{25}\right)\right)^{2}-i \pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+\frac{1}{25}\right)\right)^{3}-2 x \ln \left(3\right)^{2}+6 x +2 \ln \left(x \right)}{2 x^{2}}$&$115$\\ \hline \end{longtable}"," ",0,"((-ln(3)^2+3)*x+ln(25*exp(x)*x+x))/x^2","A"
2558,1,23,21,0.028000," ","int(((24*exp(2)*ln(2)+2*exp(2))*ln(x)-24*exp(2)*ln(2)+(2*x-2)*exp(2))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \,{\mathrm e}^{2} \left(12 \ln \left(2\right)+1\right) \ln \left(x \right)}{x}+2 \,{\mathrm e}^{2} \ln \left(x \right)$&$23$\\ norman&$\frac{\left(-24 \,{\mathrm e}^{2} \ln \left(2\right)-2 \,{\mathrm e}^{2}\right) \ln \left(x \right)+2 x \,{\mathrm e}^{2} \ln \left(x \right)}{x}$&$27$\\ default&$24 \,{\mathrm e}^{2} \ln \left(2\right) \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)+2 \,{\mathrm e}^{2} \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)+\frac{24 \,{\mathrm e}^{2} \ln \left(2\right)}{x}+2 \,{\mathrm e}^{2} \ln \left(x \right)+\frac{2 \,{\mathrm e}^{2}}{x}$&$60$\\ \hline \end{longtable}"," ",0,"-2*exp(2)*(12*ln(2)+1)/x*ln(x)+2*exp(2)*ln(x)","A"
2559,1,23,20,0.040000," ","int((exp(3)-2*x-3)*exp(1/4*exp(3)^2-x*exp(3)+x^2+3*x-1)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}-x \,{\mathrm e}^{3}+x^{2}+3 x -1}$&$23$\\ norman&$x -{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}-x \,{\mathrm e}^{3}+x^{2}+3 x -1}$&$25$\\ default&$x -\frac{i \sqrt{\pi}\, {\mathrm e}^{\frac{{\mathrm e}^{6}}{4}+2-\frac{\left(3-{\mathrm e}^{3}\right)^{2}}{4}} \erf \left(i x +\frac{i \left(3-{\mathrm e}^{3}\right)}{2}\right)}{2}+\frac{3 i \sqrt{\pi}\, {\mathrm e}^{\frac{{\mathrm e}^{6}}{4}-1-\frac{\left(3-{\mathrm e}^{3}\right)^{2}}{4}} \erf \left(i x +\frac{i \left(3-{\mathrm e}^{3}\right)}{2}\right)}{2}-{\mathrm e}^{x^{2}+\left(3-{\mathrm e}^{3}\right) x +\frac{{\mathrm e}^{6}}{4}-1}-\frac{i \left(3-{\mathrm e}^{3}\right) \sqrt{\pi}\, {\mathrm e}^{\frac{{\mathrm e}^{6}}{4}-1-\frac{\left(3-{\mathrm e}^{3}\right)^{2}}{4}} \erf \left(i x +\frac{i \left(3-{\mathrm e}^{3}\right)}{2}\right)}{2}$&$143$\\ \hline \end{longtable}"," ",0,"x-exp(1/4*exp(6)-x*exp(3)+x^2+3*x-1)","A"
2560,1,33,20,0.391000," ","int(((-30*x-130)*ln(8/(3*x+13))-15*exp(2)-48*x-428)/(15*x+65),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left({\mathrm e}^{2}+6\right) \ln \left(\frac{8}{3 x +13}\right)-\frac{26 x}{5}-2 \ln \left(\frac{8}{3 x +13}\right) x$&$33$\\ risch&$-2 \ln \left(\frac{8}{3 x +13}\right) x -\frac{26 x}{5}-6 \ln \left(3 x +13\right)-\ln \left(3 x +13\right) {\mathrm e}^{2}$&$36$\\ derivativedivides&${\mathrm e}^{2} \ln \left(\frac{8}{3 x +13}\right)-\frac{2 \left(3 x +13\right) \ln \left(\frac{8}{3 x +13}\right)}{3}-\frac{26 x}{5}-\frac{338}{15}+\frac{44 \ln \left(\frac{8}{3 x +13}\right)}{3}$&$48$\\ default&${\mathrm e}^{2} \ln \left(\frac{8}{3 x +13}\right)-\frac{2 \left(3 x +13\right) \ln \left(\frac{8}{3 x +13}\right)}{3}-\frac{26 x}{5}-\frac{338}{15}+\frac{44 \ln \left(\frac{8}{3 x +13}\right)}{3}$&$48$\\ \hline \end{longtable}"," ",0,"(exp(2)+6)*ln(8/(3*x+13))-26/5*x-2*ln(8/(3*x+13))*x","A"
2561,1,26,26,0.068000," ","int((((8*exp(x)-40)*ln(5-exp(x))+((32*exp(x)*x-160*x)*exp(4*x)-8*exp(x)*x)*ln(x)+(-8*exp(x)+40)*exp(4*x)+40*exp(x)-200)*exp(4*ln(x)/(ln(5-exp(x))-exp(4*x)+5))+(exp(x)*x-5*x)*ln(5-exp(x))^2+((-2*exp(x)*x+10*x)*exp(4*x)+10*exp(x)*x-50*x)*ln(5-exp(x))+(exp(x)*x-5*x)*exp(4*x)^2+(-10*exp(x)*x+50*x)*exp(4*x)+25*exp(x)*x-125*x)/((exp(x)*x-5*x)*ln(5-exp(x))^2+((-2*exp(x)*x+10*x)*exp(4*x)+10*exp(x)*x-50*x)*ln(5-exp(x))+(exp(x)*x-5*x)*exp(4*x)^2+(-10*exp(x)*x+50*x)*exp(4*x)+25*exp(x)*x-125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +2 x^{\frac{4}{\ln \left(5-{\mathrm e}^{x}\right)-{\mathrm e}^{4 x}+5}}$&$26$\\ \hline \end{longtable}"," ",0,"x+2*x^(4/(ln(5-exp(x))-exp(4*x)+5))","A"
2562,1,14,14,0.028000," ","int((2*(-4*x^2-4*x)*ln(2)-8*x-4)*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-4 \,{\mathrm e}^{2 x} x \left(x \ln \left(2\right)+1\right)$&$14$\\ risch&$\left(-4 x^{2} \ln \left(2\right)-4 x \right) {\mathrm e}^{2 x}$&$17$\\ default&$-4 x \,{\mathrm e}^{2 x}-4 x^{2} \ln \left(2\right) {\mathrm e}^{2 x}$&$20$\\ norman&$-4 x \,{\mathrm e}^{2 x}-4 x^{2} \ln \left(2\right) {\mathrm e}^{2 x}$&$20$\\ meijerg&$2-2 \,{\mathrm e}^{2 x}+\ln \left(2\right) \left(2-\frac{\left(12 x^{2}-12 x +6\right) {\mathrm e}^{2 x}}{3}\right)+\frac{\left(-8 \ln \left(2\right)-8\right) \left(1-\frac{\left(-4 x +2\right) {\mathrm e}^{2 x}}{2}\right)}{4}$&$51$\\ \hline \end{longtable}"," ",0,"-4*exp(x)^2*x*(x*ln(2)+1)","A"
2563,1,24,30,0.042000," ","int((2*(4*exp(1)-4)*ln(2)+exp(1)-1)*exp(x)*exp(2*(4*x+12)*ln(2))+(x+1)*exp(x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +{\mathrm e}^{x} x +\left({\mathrm e}-1\right) {\mathrm e}^{x} {\mathrm e}^{2 \left(4 x +12\right) \ln \left(2\right)}$&$24$\\ risch&$2^{8 x +24} {\mathrm e}^{x +1}-{\mathrm e}^{x} 2^{8 x +24}+{\mathrm e}^{x} x +x$&$30$\\ default&${\mathrm e}^{x} x +x +\frac{8 \,{\mathrm e}^{x +2 \left(4 x +12\right) \ln \left(2\right)} {\mathrm e} \ln \left(2\right)}{8 \ln \left(2\right)+1}+\frac{{\mathrm e}^{x +2 \left(4 x +12\right) \ln \left(2\right)} {\mathrm e}}{8 \ln \left(2\right)+1}-\frac{8 \,{\mathrm e}^{x +2 \left(4 x +12\right) \ln \left(2\right)} \ln \left(2\right)}{8 \ln \left(2\right)+1}-\frac{{\mathrm e}^{x +2 \left(4 x +12\right) \ln \left(2\right)}}{8 \ln \left(2\right)+1}$&$102$\\ \hline \end{longtable}"," ",0,"x+exp(x)*x+(exp(1)-1)*exp(x)*exp(2*(4*x+12)*ln(2))","A"
2564,1,18,15,0.023000," ","int((9*x^2+48*x+160)/(9*x^3+84*x^2+160*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(3 x +8\right)+\ln \left(x \right)+\ln \left(3 x +20\right)$&$18$\\ norman&$-\ln \left(3 x +8\right)+\ln \left(x \right)+\ln \left(3 x +20\right)$&$18$\\ risch&$-\ln \left(3 x +8\right)+\ln \left(3 x^{2}+20 x \right)$&$20$\\ \hline \end{longtable}"," ",0,"-ln(3*x+8)+ln(x)+ln(3*x+20)","A"
2565,1,26,27,0.032000," ","int((2*x^4*exp(x^2)+7*x^3+8*x+32)/(x^3*exp(x^2)+7*x^4+4*x^3-8*x^2-16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{x^{2}}+\frac{7 x^{3}+4 x^{2}-8 x -16}{x^{2}}\right)$&$26$\\ norman&$-2 \ln \left(x \right)+\ln \left(x^{2} {\mathrm e}^{x^{2}}+7 x^{3}+4 x^{2}-8 x -16\right)$&$30$\\ \hline \end{longtable}"," ",0,"ln(exp(x^2)+(7*x^3+4*x^2-8*x-16)/x^2)","A"
2566,1,55,18,0.075000," ","int(((200*x^5+800*x^4+1200*x^3+800*x^2+200*x)*exp(x)^2+(1000*x^5+5700*x^4+11000*x^3+9600*x^2+3200*x-100)*exp(x)+5000*x^4+18500*x^3+25500*x^2+14300*x-900)/(x^3+3*x^2+3*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2500 x^{2}+3500 x +\frac{1200 x +2800}{x^{2}+2 x +1}+100 \,{\mathrm e}^{2 x} x^{2}+\frac{100 x \left(10 x^{2}+17 x -1\right) {\mathrm e}^{x}}{x +1}$&$55$\\ default&$\frac{1600}{\left(x +1\right)^{2}}+\frac{1200}{x +1}+3500 x +2500 x^{2}+\frac{800 \,{\mathrm e}^{x}}{x +1}+1000 \,{\mathrm e}^{x} x^{2}+700 \,{\mathrm e}^{x} x -800 \,{\mathrm e}^{x}+100 \,{\mathrm e}^{2 x} x^{2}$&$58$\\ norman&$\frac{-14300 x +8500 x^{3}+2500 x^{4}-100 \,{\mathrm e}^{x} x +1600 \,{\mathrm e}^{x} x^{2}+2700 \,{\mathrm e}^{x} x^{3}+1000 \,{\mathrm e}^{x} x^{4}+100 \,{\mathrm e}^{2 x} x^{2}+200 \,{\mathrm e}^{2 x} x^{3}+100 \,{\mathrm e}^{2 x} x^{4}-6700}{\left(x +1\right)^{2}}$&$75$\\ \hline \end{longtable}"," ",0,"2500*x^2+3500*x+(1200*x+2800)/(x^2+2*x+1)+100*exp(2*x)*x^2+100*x*(10*x^2+17*x-1)/(x+1)*exp(x)","B"
2567,1,23,24,0.118000," ","int((((-50*exp(2)*exp(x)-50*exp(2)*x)*exp(5*x)^2*exp(exp(5*x)^2)-5*exp(2)*exp(x)-5*exp(2))*exp(exp(exp(5*x)^2))+(-5*x-5)*exp(2)*exp(x)-10*exp(2)*x)*exp((5*exp(x)+5*x)*exp(exp(exp(5*x)^2))+5*exp(x)*x+5*x^2)/(exp((5*exp(x)+5*x)*exp(exp(exp(5*x)^2))+5*exp(x)*x+5*x^2)^2+6*exp((5*exp(x)+5*x)*exp(exp(exp(5*x)^2))+5*exp(x)*x+5*x^2)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2}}{{\mathrm e}^{5 \left({\mathrm e}^{{\mathrm e}^{{\mathrm e}^{10 x}}}+x \right) \left({\mathrm e}^{x}+x \right)}+3}$&$23$\\ \hline \end{longtable}"," ",0,"exp(2)/(exp(5*(exp(exp(exp(10*x)))+x)*(exp(x)+x))+3)","A"
2568,1,31,26,0.385000," ","int(((-2*x^4-5*x^3+3*x^2+x+3)*ln(3+x)^2+(-4*x-12)*ln(3+x)-2*x^2-4*x)/(x^3+3*x^2)/ln(3+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{3}-x^{2}+1}{x}+\frac{2 x +4}{x \ln \left(3+x \right)}$&$31$\\ norman&$\frac{4+\ln \left(3+x \right) x^{2}+2 x -\ln \left(3+x \right) x^{3}-\ln \left(3+x \right)}{x \ln \left(3+x \right)}$&$39$\\ \hline \end{longtable}"," ",0,"-(x^3-x^2+1)/x+2*(2+x)/x/ln(3+x)","A"
2569,1,42,23,0.393000," ","int((((2*x*ln(x^2)-4*x)*exp(x/ln(x^2))*exp(exp(x/ln(x^2)))+(4*x+1)*ln(x^2)^2)*exp(exp(exp(x/ln(x^2)))+2*x)^2+((8*x*ln(x^2)-16*x)*exp(x/ln(x^2))*exp(exp(x/ln(x^2)))+(16*x+8)*ln(x^2)^2)*exp(exp(exp(x/ln(x^2)))+2*x)+16*ln(x^2)^2)/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{\frac{x}{\ln \left(x^{2}\right)}}}+4 x}+8 x \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{\frac{x}{\ln \left(x^{2}\right)}}}+2 x}+16 x$&$42$\\ \hline \end{longtable}"," ",0,"x*exp(2*exp(exp(x/ln(x^2)))+4*x)+8*x*exp(exp(exp(x/ln(x^2)))+2*x)+16*x","A"
2570,1,31,30,0.033000," ","int(((15*x^4-100*x^3+140*x^2+240*x-585)*ln(x)+5*x^4-35*x^3+20*x^2+315*x-585)*exp((5*x-15)/(x^4-4*x^3-8*x^2+39*x)/ln(x))/(x^8-8*x^7+142*x^5-248*x^4-624*x^3+1521*x^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{5 x -15}{x \left(3+x \right) \left(x^{2}-7 x +13\right) \ln \left(x \right)}}$&$31$\\ \hline \end{longtable}"," ",0,"-exp(5*(x-3)/x/(3+x)/(x^2-7*x+13)/ln(x))","A"
2571,1,3921,21,0.453000," ","int((2+2*exp(4)^16*exp(5)^16+((-24*x+40)*exp(4)^16*exp(5)^4+((-96*x^2+128*x+64)*exp(4)^16+(-96*x+160)*exp(4)^15)*exp(5)^3+((-144*x^3+144*x^2+192*x)*exp(4)^16+(-288*x^2+384*x+192)*exp(4)^15+(-144*x+240)*exp(4)^14)*exp(5)^2+((-96*x^4+64*x^3+192*x^2)*exp(4)^16+(-288*x^3+288*x^2+384*x)*exp(4)^15+(-288*x^2+384*x+192)*exp(4)^14+(-96*x+160)*exp(4)^13)*exp(5)+(-24*x^5+8*x^4+64*x^3)*exp(4)^16+(-96*x^4+64*x^3+192*x^2)*exp(4)^15+(-144*x^3+144*x^2+192*x)*exp(4)^14+(-96*x^2+128*x+64)*exp(4)^13+(-24*x+40)*exp(4)^12)*exp(x)^3+((24*x-36)*exp(4)^16*exp(5)^8+((192*x^2-192*x-192)*exp(4)^16+(192*x-288)*exp(4)^15)*exp(5)^7+((672*x^3-336*x^2-1344*x)*exp(4)^16+(1344*x^2-1344*x-1344)*exp(4)^15+(672*x-1008)*exp(4)^14)*exp(5)^6+((1344*x^4-4032*x^2)*exp(4)^16+(4032*x^3-2016*x^2-8064*x)*exp(4)^15+(4032*x^2-4032*x-4032)*exp(4)^14+(1344*x-2016)*exp(4)^13)*exp(5)^5+((1680*x^5+840*x^4-6720*x^3)*exp(4)^16+(6720*x^4-20160*x^2)*exp(4)^15+(10080*x^3-5040*x^2-20160*x)*exp(4)^14+(6720*x^2-6720*x-6720)*exp(4)^13+(1680*x-2520)*exp(4)^12)*exp(5)^4+((1344*x^6+1344*x^5-6720*x^4)*exp(4)^16+(6720*x^5+3360*x^4-26880*x^3)*exp(4)^15+(13440*x^4-40320*x^2)*exp(4)^14+(13440*x^3-6720*x^2-26880*x)*exp(4)^13+(6720*x^2-6720*x-6720)*exp(4)^12+(1344*x-2016)*exp(4)^11)*exp(5)^3+((672*x^7+1008*x^6-4032*x^5)*exp(4)^16+(4032*x^6+4032*x^5-20160*x^4)*exp(4)^15+(10080*x^5+5040*x^4-40320*x^3)*exp(4)^14+(13440*x^4-40320*x^2)*exp(4)^13+(10080*x^3-5040*x^2-20160*x)*exp(4)^12+(4032*x^2-4032*x-4032)*exp(4)^11+(672*x-1008)*exp(4)^10)*exp(5)^2+((192*x^8+384*x^7-1344*x^6)*exp(4)^16+(1344*x^7+2016*x^6-8064*x^5)*exp(4)^15+(4032*x^6+4032*x^5-20160*x^4)*exp(4)^14+(6720*x^5+3360*x^4-26880*x^3)*exp(4)^13+(6720*x^4-20160*x^2)*exp(4)^12+(4032*x^3-2016*x^2-8064*x)*exp(4)^11+(1344*x^2-1344*x-1344)*exp(4)^10+(192*x-288)*exp(4)^9)*exp(5)+(24*x^9+60*x^8-192*x^7)*exp(4)^16+(192*x^8+384*x^7-1344*x^6)*exp(4)^15+(672*x^7+1008*x^6-4032*x^5)*exp(4)^14+(1344*x^6+1344*x^5-6720*x^4)*exp(4)^13+(1680*x^5+840*x^4-6720*x^3)*exp(4)^12+(1344*x^4-4032*x^2)*exp(4)^11+(672*x^3-336*x^2-1344*x)*exp(4)^10+(192*x^2-192*x-192)*exp(4)^9+(24*x-36)*exp(4)^8)*exp(x)^2+((4480*x^3-6720*x^2)*exp(4)^16+(10080*x^2-13440*x)*exp(4)^15+(6720*x-6720)*exp(4)^14+1120*exp(4)^13)*exp(5)^13+((18200*x^4-29120*x^3)*exp(4)^16+(58240*x^3-87360*x^2)*exp(4)^15+(65520*x^2-87360*x)*exp(4)^14+(29120*x-29120)*exp(4)^13+3640*exp(4)^12)*exp(5)^12+(((-3960*x^9-27720*x^8+63360*x^7)*exp(4)^16+(-31680*x^8-190080*x^7+443520*x^6)*exp(4)^15+(-110880*x^7-554400*x^6+1330560*x^5)*exp(4)^14+(-221760*x^6-887040*x^5+2217600*x^4)*exp(4)^13+(-277200*x^5-831600*x^4+2217600*x^3)*exp(4)^12+(-221760*x^4-443520*x^3+1330560*x^2)*exp(4)^11+(-110880*x^3-110880*x^2+443520*x)*exp(4)^10+(-31680*x^2+63360)*exp(4)^9+(-3960*x+3960)*exp(4)^8)*exp(5)^4+((-96*x^2+192)*exp(4)^16+(-96*x+96)*exp(4)^15)*exp(5)^11+((-528*x^3-528*x^2+2112*x)*exp(4)^16+(-1056*x^2+2112)*exp(4)^15+(-528*x+528)*exp(4)^14)*exp(5)^10+((-1760*x^4-3520*x^3+10560*x^2)*exp(4)^16+(-5280*x^3-5280*x^2+21120*x)*exp(4)^15+(-5280*x^2+10560)*exp(4)^14+(-1760*x+1760)*exp(4)^13)*exp(5)^9+((-3960*x^5-11880*x^4+31680*x^3)*exp(4)^16+(-15840*x^4-31680*x^3+95040*x^2)*exp(4)^15+(-23760*x^3-23760*x^2+95040*x)*exp(4)^14+(-15840*x^2+31680)*exp(4)^13+(-3960*x+3960)*exp(4)^12)*exp(5)^8+((-6336*x^6-25344*x^5+63360*x^4)*exp(4)^16+(-31680*x^5-95040*x^4+253440*x^3)*exp(4)^15+(-63360*x^4-126720*x^3+380160*x^2)*exp(4)^14+(-63360*x^3-63360*x^2+253440*x)*exp(4)^13+(-31680*x^2+63360)*exp(4)^12+(-6336*x+6336)*exp(4)^11)*exp(5)^7+((-528*x^11-4752*x^10+10560*x^9)*exp(4)^16+(-5280*x^10-42240*x^9+95040*x^8)*exp(4)^15+(-23760*x^9-166320*x^8+380160*x^7)*exp(4)^14+(-63360*x^8-380160*x^7+887040*x^6)*exp(4)^13+(-110880*x^7-554400*x^6+1330560*x^5)*exp(4)^12+(-133056*x^6-532224*x^5+1330560*x^4)*exp(4)^11+(-110880*x^5-332640*x^4+887040*x^3)*exp(4)^10+(-63360*x^4-126720*x^3+380160*x^2)*exp(4)^9+(-23760*x^3-23760*x^2+95040*x)*exp(4)^8+(-5280*x^2+10560)*exp(4)^7+(-528*x+528)*exp(4)^6)*exp(5)^2+((-7392*x^7-36960*x^6+88704*x^5)*exp(4)^16+(-44352*x^6-177408*x^5+443520*x^4)*exp(4)^15+(-110880*x^5-332640*x^4+887040*x^3)*exp(4)^14+(-147840*x^4-295680*x^3+887040*x^2)*exp(4)^13+(-110880*x^3-110880*x^2+443520*x)*exp(4)^12+(-44352*x^2+88704)*exp(4)^11+(-7392*x+7392)*exp(4)^10)*exp(5)^6+((-6336*x^8-38016*x^7+88704*x^6)*exp(4)^16+(-44352*x^7-221760*x^6+532224*x^5)*exp(4)^15+(-133056*x^6-532224*x^5+1330560*x^4)*exp(4)^14+(-221760*x^5-665280*x^4+1774080*x^3)*exp(4)^13+(-221760*x^4-443520*x^3+1330560*x^2)*exp(4)^12+(-133056*x^3-133056*x^2+532224*x)*exp(4)^11+(-44352*x^2+88704)*exp(4)^10+(-6336*x+6336)*exp(4)^9)*exp(5)^5+(-3960*x^9-27720*x^8+63360*x^7)*exp(4)^12+(-6336*x^8-38016*x^7+88704*x^6)*exp(4)^11+(-7392*x^7-36960*x^6+88704*x^5)*exp(4)^10+(-6336*x^6-25344*x^5+63360*x^4)*exp(4)^9+(-3960*x^5-11880*x^4+31680*x^3)*exp(4)^8+(-1760*x^4-3520*x^3+10560*x^2)*exp(4)^7+(-528*x^3-528*x^2+2112*x)*exp(4)^6+(-96*x^2+192)*exp(4)^5+(-8*x+8)*exp(4)^4+((-1760*x^10-14080*x^9+31680*x^8)*exp(4)^16+(-15840*x^9-110880*x^8+253440*x^7)*exp(4)^15+(-63360*x^8-380160*x^7+887040*x^6)*exp(4)^14+(-147840*x^7-739200*x^6+1774080*x^5)*exp(4)^13+(-221760*x^6-887040*x^5+2217600*x^4)*exp(4)^12+(-221760*x^5-665280*x^4+1774080*x^3)*exp(4)^11+(-147840*x^4-295680*x^3+887040*x^2)*exp(4)^10+(-63360*x^3-63360*x^2+253440*x)*exp(4)^9+(-15840*x^2+31680)*exp(4)^8+(-1760*x+1760)*exp(4)^7)*exp(5)^3+((-96*x^12-960*x^11+2112*x^10)*exp(4)^16+(-1056*x^11-9504*x^10+21120*x^9)*exp(4)^15+(-5280*x^10-42240*x^9+95040*x^8)*exp(4)^14+(-15840*x^9-110880*x^8+253440*x^7)*exp(4)^13+(-31680*x^8-190080*x^7+443520*x^6)*exp(4)^12+(-44352*x^7-221760*x^6+532224*x^5)*exp(4)^11+(-44352*x^6-177408*x^5+443520*x^4)*exp(4)^10+(-31680*x^5-95040*x^4+253440*x^3)*exp(4)^9+(-15840*x^4-31680*x^3+95040*x^2)*exp(4)^8+(-5280*x^3-5280*x^2+21120*x)*exp(4)^7+(-1056*x^2+2112)*exp(4)^6+(-96*x+96)*exp(4)^5)*exp(5)+(-8*x^13-88*x^12+192*x^11)*exp(4)^16+(-96*x^12-960*x^11+2112*x^10)*exp(4)^15+(-528*x^11-4752*x^10+10560*x^9)*exp(4)^14+(-1760*x^10-14080*x^9+31680*x^8)*exp(4)^13+(-8*x+8)*exp(4)^16*exp(5)^12)*exp(x)+((64*x-64)*exp(4)^16+32*exp(4)^15)*exp(5)^15+((720*x^2-960*x)*exp(4)^16+(960*x-960)*exp(4)^15+240*exp(4)^14)*exp(5)^14+((112112*x^6-192192*x^5)*exp(4)^16+(576576*x^5-960960*x^4)*exp(4)^15+(1201200*x^4-1921920*x^3)*exp(4)^14+(1281280*x^3-1921920*x^2)*exp(4)^13+(720720*x^2-960960*x)*exp(4)^12+(192192*x-192192)*exp(4)^11+16016*exp(4)^10)*exp(5)^10+((183040*x^7-320320*x^6)*exp(4)^16+(1121120*x^6-1921920*x^5)*exp(4)^15+(2882880*x^5-4804800*x^4)*exp(4)^14+(4004000*x^4-6406400*x^3)*exp(4)^13+(3203200*x^3-4804800*x^2)*exp(4)^12+(1441440*x^2-1921920*x)*exp(4)^11+(320320*x-320320)*exp(4)^10+22880*exp(4)^9)*exp(5)^9+((228800*x^9-411840*x^8)*exp(4)^16+(1853280*x^8-3294720*x^7)*exp(4)^15+(6589440*x^7-11531520*x^6)*exp(4)^14+(13453440*x^6-23063040*x^5)*exp(4)^13+(17297280*x^5-28828800*x^4)*exp(4)^12+(14414400*x^4-23063040*x^3)*exp(4)^11+(7687680*x^3-11531520*x^2)*exp(4)^10+(2471040*x^2-3294720*x)*exp(4)^9+(411840*x-411840)*exp(4)^8+22880*exp(4)^7)*exp(5)^7+((176176*x^10-320320*x^9)*exp(4)^16+(1601600*x^9-2882880*x^8)*exp(4)^15+(6486480*x^8-11531520*x^7)*exp(4)^14+(15375360*x^7-26906880*x^6)*exp(4)^13+(23543520*x^6-40360320*x^5)*exp(4)^12+(24216192*x^5-40360320*x^4)*exp(4)^11+(16816800*x^4-26906880*x^3)*exp(4)^10+(7687680*x^3-11531520*x^2)*exp(4)^9+(2162160*x^2-2882880*x)*exp(4)^8+(320320*x-320320)*exp(4)^7+16016*exp(4)^6)*exp(5)^6+((52416*x^5-87360*x^4)*exp(4)^16+(218400*x^4-349440*x^3)*exp(4)^15+(349440*x^3-524160*x^2)*exp(4)^14+(262080*x^2-349440*x)*exp(4)^13+(87360*x-87360)*exp(4)^12+8736*exp(4)^11)*exp(5)^11+((104832*x^11-192192*x^10)*exp(4)^16+(1057056*x^10-1921920*x^9)*exp(4)^15+(4804800*x^9-8648640*x^8)*exp(4)^14+(12972960*x^8-23063040*x^7)*exp(4)^13+(23063040*x^7-40360320*x^6)*exp(4)^12+(28252224*x^6-48432384*x^5)*exp(4)^11+(24216192*x^5-40360320*x^4)*exp(4)^10+(14414400*x^4-23063040*x^3)*exp(4)^9+(5765760*x^3-8648640*x^2)*exp(4)^8+(1441440*x^2-1921920*x)*exp(4)^7+(192192*x-192192)*exp(4)^6+8736*exp(4)^5)*exp(5)^5+((47320*x^12-87360*x^11)*exp(4)^16+(524160*x^11-960960*x^10)*exp(4)^15+(2642640*x^10-4804800*x^9)*exp(4)^14+(8008000*x^9-14414400*x^8)*exp(4)^13+(16216200*x^8-28828800*x^7)*exp(4)^12+(23063040*x^7-40360320*x^6)*exp(4)^11+(23543520*x^6-40360320*x^5)*exp(4)^10+(17297280*x^5-28828800*x^4)*exp(4)^9+(9009000*x^4-14414400*x^3)*exp(4)^8+(3203200*x^3-4804800*x^2)*exp(4)^7+(720720*x^2-960960*x)*exp(4)^6+(87360*x-87360)*exp(4)^5+3640*exp(4)^4)*exp(5)^4+((231660*x^8-411840*x^7)*exp(4)^16+(1647360*x^7-2882880*x^6)*exp(4)^15+(5045040*x^6-8648640*x^5)*exp(4)^14+(8648640*x^5-14414400*x^4)*exp(4)^13+(9009000*x^4-14414400*x^3)*exp(4)^12+(5765760*x^3-8648640*x^2)*exp(4)^11+(2162160*x^2-2882880*x)*exp(4)^10+(411840*x-411840)*exp(4)^9+25740*exp(4)^8)*exp(5)^8+((15680*x^13-29120*x^12)*exp(4)^16+(189280*x^12-349440*x^11)*exp(4)^15+(1048320*x^11-1921920*x^10)*exp(4)^14+(3523520*x^10-6406400*x^9)*exp(4)^13+(8008000*x^9-14414400*x^8)*exp(4)^12+(12972960*x^8-23063040*x^7)*exp(4)^11+(15375360*x^7-26906880*x^6)*exp(4)^10+(13453440*x^6-23063040*x^5)*exp(4)^9+(8648640*x^5-14414400*x^4)*exp(4)^8+(4004000*x^4-6406400*x^3)*exp(4)^7+(1281280*x^3-1921920*x^2)*exp(4)^6+(262080*x^2-349440*x)*exp(4)^5+(29120*x-29120)*exp(4)^4+1120*exp(4)^3)*exp(5)^3+((3600*x^14-6720*x^13)*exp(4)^16+(47040*x^13-87360*x^12)*exp(4)^15+(283920*x^12-524160*x^11)*exp(4)^14+(1048320*x^11-1921920*x^10)*exp(4)^13+(2642640*x^10-4804800*x^9)*exp(4)^12+(4804800*x^9-8648640*x^8)*exp(4)^11+(6486480*x^8-11531520*x^7)*exp(4)^10+(6589440*x^7-11531520*x^6)*exp(4)^9+(5045040*x^6-8648640*x^5)*exp(4)^8+(2882880*x^5-4804800*x^4)*exp(4)^7+(1201200*x^4-1921920*x^3)*exp(4)^6+(349440*x^3-524160*x^2)*exp(4)^5+(65520*x^2-87360*x)*exp(4)^4+(6720*x-6720)*exp(4)^3+240*exp(4)^2)*exp(5)^2+(512*x^15-960*x^14)*exp(4)^15+(3600*x^14-6720*x^13)*exp(4)^14+(15680*x^13-29120*x^12)*exp(4)^13+(47320*x^12-87360*x^11)*exp(4)^12+(104832*x^11-192192*x^10)*exp(4)^11+(176176*x^10-320320*x^9)*exp(4)^10+(228800*x^9-411840*x^8)*exp(4)^9+(231660*x^8-411840*x^7)*exp(4)^8+(183040*x^7-320320*x^6)*exp(4)^7+(112112*x^6-192192*x^5)*exp(4)^6+(52416*x^5-87360*x^4)*exp(4)^5+(18200*x^4-29120*x^3)*exp(4)^4+(4480*x^3-6720*x^2)*exp(4)^3+(720*x^2-960*x)*exp(4)^2+(64*x-64)*exp(4)+((512*x^15-960*x^14)*exp(4)^16+(7200*x^14-13440*x^13)*exp(4)^15+(47040*x^13-87360*x^12)*exp(4)^14+(189280*x^12-349440*x^11)*exp(4)^13+(524160*x^11-960960*x^10)*exp(4)^12+(1057056*x^10-1921920*x^9)*exp(4)^11+(1601600*x^9-2882880*x^8)*exp(4)^10+(1853280*x^8-3294720*x^7)*exp(4)^9+(1647360*x^7-2882880*x^6)*exp(4)^8+(1121120*x^6-1921920*x^5)*exp(4)^7+(576576*x^5-960960*x^4)*exp(4)^6+(218400*x^4-349440*x^3)*exp(4)^5+(58240*x^3-87360*x^2)*exp(4)^4+(10080*x^2-13440*x)*exp(4)^3+(960*x-960)*exp(4)^2+32*exp(4))*exp(5)+(34*x^16-64*x^15)*exp(4)^16+(8*x-14)*exp(4)^16*exp(x)^4)/exp(4)^16,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$3921$\\ default&$\text{Expression too large to display}$&$18680$\\ \hline \end{longtable}"," ",0,"25740*x*exp(8)+480*exp(1)*x^15-960*exp(1)*x^14+2*x^17-4*x^16-5765760*x^7+2882880*x^8-960960*x^2*exp(25)+480480*x^3*exp(25)-1441440*x^2*exp(16)-8072064*x^5*exp(1)+16016*x*exp(26)-3603600*x^8*exp(4)+1801800*x^9*exp(4)+720720*x^3*exp(-2)-1441440*x^2*exp(-2)-480*exp(-56)*x^2+32*exp(-60)*x^2-17472*exp(55)*x^5-32032*exp(50)*x^6-87360*exp(51)*x^4-45760*exp(45)*x^7-192192*exp(46)*x^5-174720*exp(47)*x^3-87360*exp(-24)*x-64*exp(-60)*x-960960*exp(37)*x^5-640640*exp(38)*x^3-87360*exp(39)*x-32032*exp(30)*x^10-411840*exp(31)*x^8-1441440*exp(32)*x^6-1601600*exp(33)*x^4-480480*exp(34)*x^2-17472*exp(25)*x^11-320320*exp(26)*x^9-1647360*exp(27)*x^7-6726720*exp(14)*x^6-64*exp(5)*x^15-5765760*exp(15)*x^4-6720*exp(6)*x^13-51480*exp(40)*x^8-320320*exp(41)*x^6-480480*exp(42)*x^4-174720*exp(43)*x^2-45760*exp(35)*x^9-411840*exp(36)*x^7-960960*exp(17)*x^9-3843840*exp(18)*x^7-5765760*exp(19)*x^5-480*exp(10)*x^14-2882880*exp(20)*x^3-29120*exp(11)*x^12-480480*exp(12)*x^10-2882880*exp(13)*x^8-7280*exp(20)*x^12-192192*exp(30)*x-192192*exp(21)*x^10-1441440*exp(22)*x^8-3843840*exp(23)*x^6-3603600*exp(24)*x^4-2240*exp(15)*x^13-87360*exp(16)*x^11+4036032*x^7*exp(5)-3843840*x^3*exp(2)+1921920*x^4*exp(2)-411840*x*exp(3)+205920*x^2*exp(3)-320320*x*exp(21)-1647360*x^2*exp(7)-8072064*x^6*exp(5)+823680*exp(7)*x^3+22880*exp(-1)*x-6726720*x^4*exp(6)+4036032*x^6*exp(1)+720720*x^3*exp(16)+(-96*x^2*exp(20)+16*exp(16)+192*exp(25)-96*x*exp(25)-44352*exp(74)*x^2+443520*exp(73)*x^3-1056*exp(65)*x^11+16*exp(64)*x^12+88704*exp(74)*x-23760*exp(66)*x^9+2112*exp(65)*x^10-147840*exp(67)*x^7+47520*exp(66)*x^8-277200*exp(68)*x^5+295680*exp(67)*x^6-133056*exp(69)*x^3+554400*exp(68)*x^4-96*exp(60)*x^12-7392*exp(70)*x+266112*exp(69)*x^2-5280*exp(61)*x^10+192*exp(60)*x^11-63360*exp(62)*x^8+10560*exp(61)*x^9-221760*exp(63)*x^6+126720*exp(62)*x^7-221760*exp(64)*x^4+443520*exp(63)*x^5-44352*exp(65)*x^2+443520*exp(64)*x^3-528*exp(56)*x^11+88704*exp(65)*x-15840*exp(57)*x^9+1056*exp(56)*x^10-110880*exp(58)*x^7+31680*exp(57)*x^8-221760*exp(59)*x^5+221760*exp(58)*x^6-110880*exp(60)*x^3+443520*exp(59)*x^4-6336*exp(61)*x+221760*exp(60)*x^2-1760*exp(52)*x^10-31680*exp(53)*x^8+3520*exp(52)*x^9-133056*exp(54)*x^6+63360*exp(53)*x^7-147840*exp(55)*x^4+266112*exp(54)*x^5-31680*exp(56)*x^2+295680*exp(55)*x^3+63360*exp(56)*x-3960*exp(48)*x^9-44352*exp(49)*x^7+7920*exp(48)*x^8-110880*exp(50)*x^5+88704*exp(49)*x^6-63360*exp(51)*x^3+221760*exp(50)*x^4-3960*exp(52)*x+126720*exp(51)*x^2-6336*exp(44)*x^8-44352*exp(45)*x^6+12672*exp(44)*x^7-63360*exp(46)*x^4+88704*exp(45)*x^5-15840*exp(47)*x^2+126720*exp(46)*x^3+31680*exp(47)*x-7392*exp(40)*x^7-31680*exp(41)*x^5+14784*exp(40)*x^6-23760*exp(42)*x^3+63360*exp(41)*x^4-1760*exp(43)*x+47520*exp(42)*x^2-6336*exp(36)*x^6-15840*exp(37)*x^4+12672*exp(36)*x^5-5280*exp(38)*x^2+31680*exp(37)*x^3+10560*exp(38)*x-3960*exp(32)*x^5-5280*exp(33)*x^3+7920*exp(32)*x^4-528*exp(34)*x+10560*exp(33)*x^2-1760*exp(28)*x^4-1056*exp(29)*x^2+3520*exp(28)*x^3+2112*exp(29)*x-528*exp(24)*x^3+1056*exp(24)*x^2-528*exp(106)*x+10560*exp(105)*x^2-6336*exp(99)*x^6-15840*exp(100)*x^4-1056*exp(110)*x^2+3520*exp(109)*x^3+2112*exp(110)*x-3960*exp(104)*x^5-5280*exp(105)*x^3+7920*exp(104)*x^4-528*exp(114)*x^3-96*exp(115)*x+1056*exp(114)*x^2-1760*exp(109)*x^4-8*exp(124)*x-96*exp(119)*x^2+192*exp(119)*x-8*x*exp(16)+192*x*exp(20)+12672*exp(99)*x^5-5280*exp(101)*x^2+31680*exp(100)*x^3+10560*exp(101)*x-7392*exp(94)*x^7-31680*exp(95)*x^5+88704*exp(85)*x^6-63360*exp(87)*x^3+221760*exp(86)*x^4-3960*exp(88)*x+126720*exp(87)*x^2-1760*exp(79)*x^10-31680*exp(80)*x^8+3520*exp(79)*x^9-133056*exp(81)*x^6+63360*exp(80)*x^7-147840*exp(82)*x^4+266112*exp(81)*x^5-31680*exp(83)*x^2+295680*exp(82)*x^3-528*exp(74)*x^11+63360*exp(83)*x-15840*exp(75)*x^9+1056*exp(74)*x^10-110880*exp(76)*x^7+31680*exp(75)*x^8-221760*exp(77)*x^5+221760*exp(76)*x^6-110880*exp(78)*x^3+443520*exp(77)*x^4-96*exp(69)*x^12-6336*exp(79)*x+221760*exp(78)*x^2-5280*exp(70)*x^10+192*exp(69)*x^11-63360*exp(71)*x^8+10560*exp(70)*x^9-221760*exp(72)*x^6+126720*exp(71)*x^7-221760*exp(73)*x^4+443520*exp(72)*x^5-8*exp(64)*x^13+14784*exp(94)*x^6-23760*exp(96)*x^3+63360*exp(95)*x^4-1760*exp(97)*x+47520*exp(96)*x^2-6336*exp(89)*x^8-44352*exp(90)*x^6+12672*exp(89)*x^7-63360*exp(91)*x^4+88704*exp(90)*x^5-15840*exp(92)*x^2+126720*exp(91)*x^3+31680*exp(92)*x-3960*exp(84)*x^9-44352*exp(85)*x^7+7920*exp(84)*x^8-110880*exp(86)*x^5+14784*exp(70)+12672*exp(61)+1056*exp(34)+16*exp(124)+192*exp(115)+1056*exp(106)+3520*exp(97)+7920*exp(88)+12672*exp(79)+7920*exp(52)+3520*exp(43))*exp(-64+x)-64*exp(-4)*x^15-6720*exp(-3)*x^13-174720*exp(-2)*x^11-1601600*exp(-1)*x^9-480*exp(-8)*x^14-2882880*exp(28)*x^5-1601600*exp(29)*x^3-1601600*exp(8)*x^9-5765760*exp(9)*x^7-8072064*exp(10)*x^5-3843840*exp(11)*x^3-43680*exp(2)*x^12-411840*exp(12)*x-640640*exp(3)*x^10-2882880*exp(-7)*x^3-7280*exp(-16)*x^12-320320*exp(-6)*x-192192*exp(-15)*x^10-1441440*exp(-14)*x^8-3843840*exp(-13)*x^6-3603600*exp(-12)*x^4-960960*exp(-11)*x^2-174720*exp(7)*x^11-29120*exp(-7)*x^12-480480*exp(-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p(12)*x^2+3363360*exp(6)*x^5+3363360*exp(-4)*x^7+2882880*exp(-3)*x^5+2882880*exp(-8)*x^6+1441440*exp(20)*x^4+160160*exp(21)*x^2+2882880*exp(15)*x^5+22880*exp(17)*x+4036032*exp(10)*x^6-29120*exp(48)*x+2*exp(-64)*x+8736*exp(35)*x+96096*exp(30)*x^2-6720*exp(61)*x^2-29120*exp(56)*x^3-6720*exp(57)*x-43680*exp(52)*x^2-480*exp(70)*x^2-2240*exp(65)*x^3-960*exp(66)*x-7280*exp(60)*x^4-64*exp(75)*x","B"
2572,1,23,21,0.062000," ","int(((-8*x^6+64*x^5-6*x^4+64*x^3)*exp(x^2)^2-10)/((x^5-8*x^4)*exp(x^2)^2-5*x+40),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(-8+x \right)-2 \ln \left(x^{4} {\mathrm e}^{2 x^{2}}-5\right)$&$23$\\ risch&$-8 \ln \left(x \right)+2 \ln \left(-8+x \right)-2 \ln \left({\mathrm e}^{2 x^{2}}-\frac{5}{x^{4}}\right)$&$27$\\ \hline \end{longtable}"," ",0,"2*ln(-8+x)-2*ln(x^4*exp(x^2)^2-5)","A"
2573,1,15,17,0.420000," ","int((16*x^2-32*x+144)*exp((2*x+10)/(3+x))^2/(x^2+6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x \,{\mathrm e}^{\frac{20+4 x}{3+x}}$&$15$\\ gosper&$16 x \,{\mathrm e}^{\frac{20+4 x}{3+x}}$&$17$\\ derivativedivides&$16 \,{\mathrm e}^{\frac{8}{3+x}+4} \left(3+x \right)-48 \,{\mathrm e}^{\frac{8}{3+x}+4}$&$33$\\ default&$16 \,{\mathrm e}^{\frac{8}{3+x}+4} \left(3+x \right)-48 \,{\mathrm e}^{\frac{8}{3+x}+4}$&$33$\\ norman&$\frac{48 x \,{\mathrm e}^{\frac{20+4 x}{3+x}}+16 x^{2} {\mathrm e}^{\frac{20+4 x}{3+x}}}{3+x}$&$44$\\ \hline \end{longtable}"," ",0,"16*x*exp(4*(5+x)/(3+x))","A"
2574,1,134,30,0.665000," ","int((((8*x^2-38*x+9)*exp(2*x+3)+4*x-1)*ln(-4*x^2+x)^3+(-8*x^3-6*x^2+2*x)*exp(2*x+3)*ln(-4*x^2+x)+(16*x^2-2*x)*exp(2*x+3))/(4*x-1)/ln(-4*x^2+x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x +3} x +x -5 \,{\mathrm e}^{2 x +3}+\frac{4 x^{2} {\mathrm e}^{2 x +3}}{\left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -\frac{1}{4}\right)\right) \mathrm{csgn}\left(i x \left(x -\frac{1}{4}\right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -\frac{1}{4}\right)\right)^{2}+2 \pi  \mathrm{csgn}\left(i x \left(x -\frac{1}{4}\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x -\frac{1}{4}\right)\right) \mathrm{csgn}\left(i x \left(x -\frac{1}{4}\right)\right)^{2}-\pi  \mathrm{csgn}\left(i x \left(x -\frac{1}{4}\right)\right)^{3}-2 \pi +2 i \ln \left(x \right)+2 i \ln \left(x -\frac{1}{4}\right)\right)^{2}}$&$134$\\ \hline \end{longtable}"," ",0,"exp(2*x+3)*x+x-5*exp(2*x+3)+4*x^2*exp(2*x+3)/(Pi*csgn(I*x)*csgn(I*(x-1/4))*csgn(I*x*(x-1/4))-Pi*csgn(I*x)*csgn(I*x*(x-1/4))^2+2*Pi*csgn(I*x*(x-1/4))^2-Pi*csgn(I*(x-1/4))*csgn(I*x*(x-1/4))^2-Pi*csgn(I*x*(x-1/4))^3-2*Pi+2*I*ln(x)+2*I*ln(x-1/4))^2","C"
2575,1,17,16,0.486000," ","int((1+exp(exp(2)))*exp(-1/(x*exp(exp(2))-exp(1)+x-6))/(x^2*exp(exp(2))^2+(-2*x*exp(1)+2*x^2-12*x)*exp(exp(2))+exp(1)^2+(-2*x+12)*exp(1)+x^2-12*x+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{1}{{\mathrm e}-x +6-x \,{\mathrm e}^{{\mathrm e}^{2}}}}$&$17$\\ risch&${\mathrm e}^{\frac{1}{{\mathrm e}-x +6-x \,{\mathrm e}^{{\mathrm e}^{2}}}}$&$17$\\ derivativedivides&$-\frac{\left(1+{\mathrm e}^{{\mathrm e}^{2}}\right) {\mathrm e}^{\frac{1}{{\mathrm e}-x +6-x \,{\mathrm e}^{{\mathrm e}^{2}}}}}{-1-{\mathrm e}^{{\mathrm e}^{2}}}$&$33$\\ default&$-\frac{\left(1+{\mathrm e}^{{\mathrm e}^{2}}\right) {\mathrm e}^{\frac{1}{{\mathrm e}-x +6-x \,{\mathrm e}^{{\mathrm e}^{2}}}}}{-1-{\mathrm e}^{{\mathrm e}^{2}}}$&$33$\\ norman&$\frac{\left({\mathrm e}+6\right) {\mathrm e}^{-\frac{1}{x \,{\mathrm e}^{{\mathrm e}^{2}}-{\mathrm e}+x -6}}+\left(-1-{\mathrm e}^{{\mathrm e}^{2}}\right) x \,{\mathrm e}^{-\frac{1}{x \,{\mathrm e}^{{\mathrm e}^{2}}-{\mathrm e}+x -6}}}{{\mathrm e}-x +6-x \,{\mathrm e}^{{\mathrm e}^{2}}}$&$66$\\ \hline \end{longtable}"," ",0,"exp(1/(exp(1)-x+6-x*exp(exp(2))))","A"
2576,1,78,29,0.481000," ","int((((-8*ln(3)+8*ln(2))*ln(5)+8*x*ln(3)-8*x*ln(2))*ln(ln(5)-x)^2+(((16*x+16)*ln(3)+(-16*x-16)*ln(2)-8*x)*ln(5)+(-16*x^2-24*x)*ln(3)+(16*x^2+24*x)*ln(2)+8*x^2)*ln(ln(5)-x)+((-16*x-8)*ln(3)+(16*x+8)*ln(2)+8*x)*ln(5)+(32*x^2+16*x)*ln(3)+(-32*x^2-16*x)*ln(2)-16*x^2)/((x^3*ln(3)-x^3*ln(2))*ln(5)-x^4*ln(3)+x^4*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4+4 \ln \left(\ln \left(5\right)-x \right)^{2}+\frac{8 \left(-2 \ln \left(3\right)+2 \ln \left(2\right)+1\right) x}{-\ln \left(3\right)+\ln \left(2\right)}-\frac{8 \left(-2 \ln \left(3\right)+2 \ln \left(2\right)+1\right) x \ln \left(\ln \left(5\right)-x \right)}{-\ln \left(3\right)+\ln \left(2\right)}-8 \ln \left(\ln \left(5\right)-x \right)}{x^{2}}$&$78$\\ risch&$\frac{4 \ln \left(\ln \left(5\right)-x \right)^{2}}{x^{2}}-\frac{8 \left(2 x \ln \left(2\right)-2 x \ln \left(3\right)+\ln \left(2\right)-\ln \left(3\right)+x \right) \ln \left(\ln \left(5\right)-x \right)}{\left(-\ln \left(3\right)+\ln \left(2\right)\right) x^{2}}+\frac{16 x \ln \left(2\right)-16 x \ln \left(3\right)+4 \ln \left(2\right)-4 \ln \left(3\right)+8 x}{\left(-\ln \left(3\right)+\ln \left(2\right)\right) x^{2}}$&$89$\\ \hline \end{longtable}"," ",0,"(4+4*ln(ln(5)-x)^2+8*(-2*ln(3)+2*ln(2)+1)/(-ln(3)+ln(2))*x-8*(-2*ln(3)+2*ln(2)+1)/(-ln(3)+ln(2))*x*ln(ln(5)-x)-8*ln(ln(5)-x))/x^2","B"
2577,1,24,24,0.023000," ","int(((-3*ln(x)-3*exp(x)+3*x^3+3*x^2+3*x+9)*ln(-ln(x)-exp(x)+x^3+x^2+x+3)+3*exp(x)*x-9*x^3-6*x^2-3*x+3)/(x^2*ln(x)+exp(x)*x^2-x^5-x^4-x^3-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \ln \left(-\ln \left(x \right)-{\mathrm e}^{x}+x^{3}+x^{2}+x +3\right)}{x}$&$24$\\ \hline \end{longtable}"," ",0,"3/x*ln(-ln(x)-exp(x)+x^3+x^2+x+3)","A"
2578,1,27,18,0.464000," ","int((-50*exp(2)^2+(60*x^2-20*x)*exp(2)+8*x^3-2*x^2)/(75*exp(2)^2+30*exp(2)*x+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{2 x^{2}}{3}+\frac{4 x^{3}}{3}+\frac{50 \,{\mathrm e}^{4}}{3}}{5 \,{\mathrm e}^{2}+x}$&$27$\\ risch&$-\frac{20 \,{\mathrm e}^{2} x}{3}+\frac{4 x^{2}}{3}-\frac{2 x}{3}-\frac{100 \,{\mathrm e}^{6}}{3 \left({\mathrm e}^{2}+\frac{x}{5}\right)}$&$27$\\ gosper&$\frac{-\frac{2 x^{2}}{3}+\frac{4 x^{3}}{3}+\frac{50 \,{\mathrm e}^{4}}{3}}{5 \,{\mathrm e}^{2}+x}$&$28$\\ meijerg&$-\frac{2 x}{3 \left(1+\frac{x \,{\mathrm e}^{-2}}{5}\right)}+\frac{5 \left(60 \,{\mathrm e}^{2}-2\right) {\mathrm e}^{2} \left(\frac{x \,{\mathrm e}^{-2} \left(\frac{3 x \,{\mathrm e}^{-2}}{5}+6\right)}{15+3 x \,{\mathrm e}^{-2}}-2 \ln \left(1+\frac{x \,{\mathrm e}^{-2}}{5}\right)\right)}{3}-\frac{20 \,{\mathrm e}^{2} \left(-\frac{x \,{\mathrm e}^{-2}}{5 \left(1+\frac{x \,{\mathrm e}^{-2}}{5}\right)}+\ln \left(1+\frac{x \,{\mathrm e}^{-2}}{5}\right)\right)}{3}+\frac{200 \,{\mathrm e}^{4} \left(-\frac{x \,{\mathrm e}^{-2} \left(-\frac{2 x^{2} {\mathrm e}^{-4}}{25}+\frac{6 x \,{\mathrm e}^{-2}}{5}+12\right)}{20 \left(1+\frac{x \,{\mathrm e}^{-2}}{5}\right)}+3 \ln \left(1+\frac{x \,{\mathrm e}^{-2}}{5}\right)\right)}{3}$&$126$\\ \hline \end{longtable}"," ",0,"(-2/3*x^2+4/3*x^3+50/3*exp(2)^2)/(5*exp(2)+x)","A"
2579,1,278,29,0.129000," ","int(((exp(2*x)^2-x^3+2*x^2)*ln((exp(2*x)^2-x^3+2*x^2)/x^2)+(4*x-1)*exp(2*x)^2-2*x^3+2*x^2)/(exp(2*x)^2-x^3+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(-{\mathrm e}^{4 x}+x^{3}-2 x^{2}\right)-2 x \ln \left(x \right)+\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}-i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{4 x}+x^{3}-2 x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{4 x}+x^{3}-2 x^{2}\right)}{x^{2}}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{4 x}+x^{3}-2 x^{2}\right)}{x^{2}}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-i \pi  x \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{4 x}+x^{3}-2 x^{2}\right)}{x^{2}}\right)^{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{4 x}+x^{3}-2 x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{4 x}+x^{3}-2 x^{2}\right)}{x^{2}}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{4 x}+x^{3}-2 x^{2}\right)}{x^{2}}\right)^{3}}{2}+i x \pi +x$&$278$\\ \hline \end{longtable}"," ",0,"x*ln(-exp(4*x)+x^3-2*x^2)-2*x*ln(x)+1/2*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)-I*Pi*x*csgn(I*x)*csgn(I*x^2)^2-1/2*I*Pi*x*csgn(I/x^2)*csgn(I*(-exp(4*x)+x^3-2*x^2))*csgn(I/x^2*(-exp(4*x)+x^3-2*x^2))+1/2*I*Pi*x*csgn(I/x^2)*csgn(I/x^2*(-exp(4*x)+x^3-2*x^2))^2+1/2*I*Pi*x*csgn(I*x^2)^3-I*Pi*x*csgn(I/x^2*(-exp(4*x)+x^3-2*x^2))^2+1/2*I*Pi*x*csgn(I*(-exp(4*x)+x^3-2*x^2))*csgn(I/x^2*(-exp(4*x)+x^3-2*x^2))^2+1/2*I*Pi*x*csgn(I/x^2*(-exp(4*x)+x^3-2*x^2))^3+I*x*Pi+x","C"
2580,0,0,30,0.097000," ","int(((((4*exp(x)*x-16*x)*ln(x)-4*exp(x)*x+16*x)*ln(exp(x)*x-4*x)+(-4*x^3-4*x^2)*exp(x)+16*x^2)*ln(1/3*ln(exp(x)*x-4*x))+((4*exp(x)-16)*ln(x)^2+(-4*exp(x)+16)*ln(x)+2*exp(x)*x^3-8*x^3)*ln(exp(x)*x-4*x)+((-4*x^2-4*x)*exp(x)+16*x)*ln(x))*ln((x^2*ln(1/3*ln(exp(x)*x-4*x))^2+2*x*ln(x)*ln(1/3*ln(exp(x)*x-4*x))+ln(x)^2-x^3)/x^2)/((exp(x)*x^3-4*x^3)*ln(exp(x)*x-4*x)*ln(1/3*ln(exp(x)*x-4*x))^2+(2*exp(x)*x^2-8*x^2)*ln(x)*ln(exp(x)*x-4*x)*ln(1/3*ln(exp(x)*x-4*x))+((exp(x)*x-4*x)*ln(x)^2-exp(x)*x^4+4*x^4)*ln(exp(x)*x-4*x)),x)","\[\int \frac{\left(\left(\left(\left(4 \,{\mathrm e}^{x} x -16 x \right) \ln \left(x \right)-4 \,{\mathrm e}^{x} x +16 x \right) \ln \left({\mathrm e}^{x} x -4 x \right)+\left(-4 x^{3}-4 x^{2}\right) {\mathrm e}^{x}+16 x^{2}\right) \ln \left(\frac{\ln \left({\mathrm e}^{x} x -4 x \right)}{3}\right)+\left(\left(4 \,{\mathrm e}^{x}-16\right) \ln \left(x \right)^{2}+\left(-4 \,{\mathrm e}^{x}+16\right) \ln \left(x \right)+2 \,{\mathrm e}^{x} x^{3}-8 x^{3}\right) \ln \left({\mathrm e}^{x} x -4 x \right)+\left(\left(-4 x^{2}-4 x \right) {\mathrm e}^{x}+16 x \right) \ln \left(x \right)\right) \ln \left(\frac{x^{2} \ln \left(\frac{\ln \left({\mathrm e}^{x} x -4 x \right)}{3}\right)^{2}+2 x \ln \left(x \right) \ln \left(\frac{\ln \left({\mathrm e}^{x} x -4 x \right)}{3}\right)+\ln \left(x \right)^{2}-x^{3}}{x^{2}}\right)}{\left({\mathrm e}^{x} x^{3}-4 x^{3}\right) \ln \left({\mathrm e}^{x} x -4 x \right) \ln \left(\frac{\ln \left({\mathrm e}^{x} x -4 x \right)}{3}\right)^{2}+\left(2 \,{\mathrm e}^{x} x^{2}-8 x^{2}\right) \ln \left(x \right) \ln \left({\mathrm e}^{x} x -4 x \right) \ln \left(\frac{\ln \left({\mathrm e}^{x} x -4 x \right)}{3}\right)+\left(\left({\mathrm e}^{x} x -4 x \right) \ln \left(x \right)^{2}-{\mathrm e}^{x} x^{4}+4 x^{4}\right) \ln \left({\mathrm e}^{x} x -4 x \right)}\, dx\]"," ",0,"int(((((4*exp(x)*x-16*x)*ln(x)-4*exp(x)*x+16*x)*ln(exp(x)*x-4*x)+(-4*x^3-4*x^2)*exp(x)+16*x^2)*ln(1/3*ln(exp(x)*x-4*x))+((4*exp(x)-16)*ln(x)^2+(-4*exp(x)+16)*ln(x)+2*exp(x)*x^3-8*x^3)*ln(exp(x)*x-4*x)+((-4*x^2-4*x)*exp(x)+16*x)*ln(x))*ln((x^2*ln(1/3*ln(exp(x)*x-4*x))^2+2*x*ln(x)*ln(1/3*ln(exp(x)*x-4*x))+ln(x)^2-x^3)/x^2)/((exp(x)*x^3-4*x^3)*ln(exp(x)*x-4*x)*ln(1/3*ln(exp(x)*x-4*x))^2+(2*exp(x)*x^2-8*x^2)*ln(x)*ln(exp(x)*x-4*x)*ln(1/3*ln(exp(x)*x-4*x))+((exp(x)*x-4*x)*ln(x)^2-exp(x)*x^4+4*x^4)*ln(exp(x)*x-4*x)),x)","F"
2581,1,16,16,0.023000," ","int((16*x*ln(2)*ln(x)+16*x*ln(2)-2*x+10)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$10 \ln \left(x \right)-2 x +16 x \ln \left(2\right) \ln \left(x \right)$&$16$\\ risch&$10 \ln \left(x \right)-2 x +16 x \ln \left(2\right) \ln \left(x \right)$&$16$\\ default&$16 \ln \left(2\right) \left(x \ln \left(x \right)-x \right)+16 x \ln \left(2\right)-2 x +10 \ln \left(x \right)$&$26$\\ \hline \end{longtable}"," ",0,"10*ln(x)-2*x+16*x*ln(2)*ln(x)","A"
2582,1,21,26,0.102000," ","int(1/5*((3*x^2+12)*exp(1)+6*x^3+24*x+24)*exp((-x^2+4)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{3 \,{\mathrm e}^{-\frac{x^{2}-4}{x}} \left(2 x +{\mathrm e}+2\right)}{5}$&$21$\\ risch&$\frac{\left(-3 \,{\mathrm e}-6-6 x \right) {\mathrm e}^{-\frac{\left(x -2\right) \left(2+x \right)}{x}}}{5}$&$24$\\ norman&$\frac{\left(-\frac{6}{5}-\frac{3 \,{\mathrm e}}{5}\right) x \,{\mathrm e}^{\frac{-x^{2}+4}{x}}-\frac{6 x^{2} {\mathrm e}^{\frac{-x^{2}+4}{x}}}{5}}{x}$&$43$\\ \hline \end{longtable}"," ",0,"-3/5*exp(-(x^2-4)/x)*(2*x+exp(1)+2)","A"
2583,1,33,28,0.396000," ","int(((-3*ln(5)+24)*ln(2*ln(3))+9*ln(5)-72)/(x^2*ln(2*ln(3))-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\left(-3 \ln \left(5\right)+24\right) \ln \left(2 \ln \left(3\right)\right)+9 \ln \left(5\right)-72}{\left(\ln \left(2 \ln \left(3\right)\right)-2\right) x}$&$33$\\ gosper&$\frac{3 \ln \left(2 \ln \left(3\right)\right) \ln \left(5\right)-24 \ln \left(2 \ln \left(3\right)\right)-9 \ln \left(5\right)+72}{\left(\ln \left(2 \ln \left(3\right)\right)-2\right) x}$&$36$\\ norman&$\frac{3 \ln \left(2\right) \ln \left(5\right)+3 \ln \left(5\right) \ln \left(\ln \left(3\right)\right)-24 \ln \left(2\right)-9 \ln \left(5\right)-24 \ln \left(\ln \left(3\right)\right)+72}{\left(\ln \left(2\right)+\ln \left(\ln \left(3\right)\right)-2\right) x}$&$41$\\ risch&$\frac{3 \ln \left(2\right) \ln \left(5\right)}{x \left(\ln \left(2\right)+\ln \left(\ln \left(3\right)\right)-2\right)}+\frac{3 \ln \left(5\right) \ln \left(\ln \left(3\right)\right)}{x \left(\ln \left(2\right)+\ln \left(\ln \left(3\right)\right)-2\right)}-\frac{24 \ln \left(2\right)}{x \left(\ln \left(2\right)+\ln \left(\ln \left(3\right)\right)-2\right)}-\frac{9 \ln \left(5\right)}{x \left(\ln \left(2\right)+\ln \left(\ln \left(3\right)\right)-2\right)}-\frac{24 \ln \left(\ln \left(3\right)\right)}{x \left(\ln \left(2\right)+\ln \left(\ln \left(3\right)\right)-2\right)}+\frac{72}{x \left(\ln \left(2\right)+\ln \left(\ln \left(3\right)\right)-2\right)}$&$102$\\ \hline \end{longtable}"," ",0,"-((-3*ln(5)+24)*ln(2*ln(3))+9*ln(5)-72)/(ln(2*ln(3))-2)/x","A"
2584,1,18,19,0.069000," ","int(((-512*x+512)*exp(x)-512*x)*exp(1/x*(exp(x)+x))^2+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -256 \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{x}+2 x}{x}} x^{2}$&$18$\\ default&$x -256 \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{x}+2 x}{x}} x^{2}$&$19$\\ norman&$x -256 \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{x}+2 x}{x}} x^{2}$&$19$\\ \hline \end{longtable}"," ",0,"x-256*exp(2/x*(exp(x)+x))*x^2","A"
2585,1,9,19,0.007000," ","int(60*x+15,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$15 \left(2 x +1\right) x$&$9$\\ default&$30 x^{2}+15 x$&$10$\\ norman&$30 x^{2}+15 x$&$10$\\ risch&$30 x^{2}+15 x$&$10$\\ \hline \end{longtable}"," ",0,"15*(2*x+1)*x","A"
2586,1,37,36,0.202000," ","int(((5*x^6-15*x^5-15*x^4+55*x^3+15*x^2-45*x)*exp(x)^2+(5*x^5-10*x^4-25*x^3+30*x^2+45*x)*ln(2)^2*exp(x)-10*x^3-30*x^2+60*x+60)/(x^7-2*x^6-5*x^5+6*x^4+9*x^3)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \ln \left(2\right)^{2}}{x}+\frac{5 \,{\mathrm e}^{x}}{x}+\frac{10 \,{\mathrm e}^{-x}}{x^{2} \left(x^{2}-x -3\right)}$&$37$\\ norman&$\frac{\left(10-5 \,{\mathrm e}^{x} \ln \left(2\right)^{2} x^{3}+5 \,{\mathrm e}^{x} \ln \left(2\right)^{2} x^{2}-15 x \,{\mathrm e}^{2 x}-5 \,{\mathrm e}^{2 x} x^{2}+5 \,{\mathrm e}^{2 x} x^{3}+15 x \ln \left(2\right)^{2} {\mathrm e}^{x}\right) {\mathrm e}^{-x}}{x^{2} \left(x^{2}-x -3\right)}$&$77$\\ default&$\frac{10 \,{\mathrm e}^{-x} \left(37 x^{3}-64 x^{2}-78 x +39\right)}{39 x^{2} \left(x^{2}-x -3\right)}-\frac{5 \ln \left(2\right)^{2}}{x}-\frac{20 \,{\mathrm e}^{-x} \left(20 x^{2}-23 x -39\right)}{39 \left(x^{2}-x -3\right) x}-\frac{10 \,{\mathrm e}^{-x} \left(x -7\right)}{13 \left(x^{2}-x -3\right)}+\frac{10 \,{\mathrm e}^{-x} \left(2 x -1\right)}{13 \left(x^{2}-x -3\right)}+\frac{5 \,{\mathrm e}^{x} \left(20 x^{2}-23 x -39\right)}{13 \left(x^{2}-x -3\right) x}+\frac{5 \,{\mathrm e}^{x} \left(x -7\right)}{13 \left(x^{2}-x -3\right)}-\frac{55 \,{\mathrm e}^{x} \left(2 x -1\right)}{13 \left(x^{2}-x -3\right)}+\frac{15 \,{\mathrm e}^{x} \left(x +6\right)}{13 \left(x^{2}-x -3\right)}+\frac{15 \,{\mathrm e}^{x} \left(7 x +3\right)}{13 \left(x^{2}-x -3\right)}-\frac{5 \,{\mathrm e}^{x} \left(10 x +21\right)}{13 \left(x^{2}-x -3\right)}$&$232$\\ \hline \end{longtable}"," ",0,"-5*ln(2)^2/x+5*exp(x)/x+10/x^2/(x^2-x-3)*exp(-x)","A"
2587,1,29,25,0.057000," ","int(((2*x^5*exp(x)*exp(exp(x))+2*x^5+2*x^4)*exp(1/2*x+1/2*exp(exp(x)))^4+(-50*x^3*exp(x)*exp(exp(x))-50*x^3)*exp(1/2*x+1/2*exp(exp(x)))^2-1250)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{625}{x^{2}}+x^{2} {\mathrm e}^{2 x +2 \,{\mathrm e}^{{\mathrm e}^{x}}}-50 \,{\mathrm e}^{x +{\mathrm e}^{{\mathrm e}^{x}}}$&$29$\\ \hline \end{longtable}"," ",0,"625/x^2+x^2*exp(2*x+2*exp(exp(x)))-50*exp(x+exp(exp(x)))","A"
2588,0,0,25,0.082000," ","int(((4*x^4*exp(1)+4*x^4+28*x^3)*ln(x^2*exp(1)^2+(2*x^2+14*x)*exp(1)+x^2+14*x+49)*ln(4*ln(5)*ln(x^2*exp(1)^2+(2*x^2+14*x)*exp(1)+x^2+14*x+49))^2+(4*x^4*exp(1)+4*x^4)*ln(4*ln(5)*ln(x^2*exp(1)^2+(2*x^2+14*x)*exp(1)+x^2+14*x+49))+(-x*exp(1)-x-7)*ln(x^2*exp(1)^2+(2*x^2+14*x)*exp(1)+x^2+14*x+49))/(x*exp(1)+x+7)/ln(x^2*exp(1)^2+(2*x^2+14*x)*exp(1)+x^2+14*x+49),x)","\[\int \frac{\left(4 x^{4} {\mathrm e}+4 x^{4}+28 x^{3}\right) \ln \left(x^{2} {\mathrm e}^{2}+\left(2 x^{2}+14 x \right) {\mathrm e}+x^{2}+14 x +49\right) \ln \left(4 \ln \left(5\right) \ln \left(x^{2} {\mathrm e}^{2}+\left(2 x^{2}+14 x \right) {\mathrm e}+x^{2}+14 x +49\right)\right)^{2}+\left(4 x^{4} {\mathrm e}+4 x^{4}\right) \ln \left(4 \ln \left(5\right) \ln \left(x^{2} {\mathrm e}^{2}+\left(2 x^{2}+14 x \right) {\mathrm e}+x^{2}+14 x +49\right)\right)+\left(-x \,{\mathrm e}-x -7\right) \ln \left(x^{2} {\mathrm e}^{2}+\left(2 x^{2}+14 x \right) {\mathrm e}+x^{2}+14 x +49\right)}{\left(x \,{\mathrm e}+x +7\right) \ln \left(x^{2} {\mathrm e}^{2}+\left(2 x^{2}+14 x \right) {\mathrm e}+x^{2}+14 x +49\right)}\, dx\]"," ",0,"int(((4*x^4*exp(1)+4*x^4+28*x^3)*ln(x^2*exp(1)^2+(2*x^2+14*x)*exp(1)+x^2+14*x+49)*ln(4*ln(5)*ln(x^2*exp(1)^2+(2*x^2+14*x)*exp(1)+x^2+14*x+49))^2+(4*x^4*exp(1)+4*x^4)*ln(4*ln(5)*ln(x^2*exp(1)^2+(2*x^2+14*x)*exp(1)+x^2+14*x+49))+(-x*exp(1)-x-7)*ln(x^2*exp(1)^2+(2*x^2+14*x)*exp(1)+x^2+14*x+49))/(x*exp(1)+x+7)/ln(x^2*exp(1)^2+(2*x^2+14*x)*exp(1)+x^2+14*x+49),x)","F"
2589,1,58,22,0.415000," ","int(((54*x^3-27*x^2)*ln(4*x^2-4*x+1)^2+(-180*x^5+90*x^4-468*x^3+270*x^2)*ln(4*x^2-4*x+1)+126*x^7-63*x^6+828*x^5-450*x^4+990*x^3-675*x^2)/(2*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 x^{3} \ln \left(4 x^{2}-4 x +1\right)^{2}+\left(-18 x^{5}-90 x^{3}\right) \ln \left(4 x^{2}-4 x +1\right)+9 x^{7}+90 x^{5}+225 x^{3}$&$58$\\ norman&$225 x^{3}+90 x^{5}+9 x^{7}+9 x^{3} \ln \left(4 x^{2}-4 x +1\right)^{2}-18 x^{5} \ln \left(4 x^{2}-4 x +1\right)-90 \ln \left(4 x^{2}-4 x +1\right) x^{3}$&$67$\\ default&$9 x^{7}+90 x^{5}+225 x^{3}-\frac{9 \ln \left(4 x^{2}-4 x +1\right)^{2}}{8}-\frac{33 \ln \left(2 x -1\right)}{2}-18 x^{5} \ln \left(4 x^{2}-4 x +1\right)+\frac{9 \ln \left(2 x -1\right) \ln \left(4 x^{2}-4 x +1\right)}{2}+9 x^{3} \ln \left(4 x^{2}-4 x +1\right)^{2}-90 \ln \left(4 x^{2}-4 x +1\right) x^{3}+\frac{33 \ln \left(4 x^{2}-4 x +1\right)}{4}-\frac{9 \ln \left(2 x -1\right)^{2}}{2}$&$132$\\ \hline \end{longtable}"," ",0,"9*x^3*ln(4*x^2-4*x+1)^2+(-18*x^5-90*x^3)*ln(4*x^2-4*x+1)+9*x^7+90*x^5+225*x^3","B"
2590,1,407,32,4.194000," ","int((((4*x^4-28*x^3+40*x^2+32*x)*exp(x)^4*ln(1/7*x)^5+(-16*x^4+112*x^3-160*x^2-128*x)*exp(x)^4*ln(1/7*x)^4+(24*x^4-164*x^3+208*x^2+256*x)*exp(x)^4*ln(1/7*x)^3+(-16*x^4+100*x^3-64*x^2-320*x)*exp(x)^4*ln(1/7*x)^2+(4*x^4-16*x^3-56*x^2+224*x)*exp(x)^4*ln(1/7*x)+(-4*x^3+32*x^2-64*x)*exp(x)^4)*ln(x)^2+((2*x^3-16*x^2+32*x)*exp(x)^4*ln(1/7*x)^5+(-8*x^3+64*x^2-128*x)*exp(x)^4*ln(1/7*x)^4+(12*x^3-96*x^2+192*x)*exp(x)^4*ln(1/7*x)^3+(-8*x^3+64*x^2-128*x)*exp(x)^4*ln(1/7*x)^2+(2*x^3-16*x^2+32*x)*exp(x)^4*ln(1/7*x))*ln(x))/ln(1/7*x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \left(x^{2}-8 x +16\right) {\mathrm e}^{4 x} \ln \left(x \right)^{2}-4 x^{2} \left(x^{2}-8 x +16\right) {\mathrm e}^{4 x} \ln \left(x \right)-2 \left(32 x^{2} \ln \left(7\right)-48 x^{2}-16 \ln \left(7\right) x^{3}+24 x^{3}+2 \ln \left(7\right) x^{4}-3 x^{4}\right) {\mathrm e}^{4 x}+\frac{2 x^{2} {\mathrm e}^{4 x} \left(384 x \ln \left(7\right)^{4}+256 x \ln \left(x \right)^{3}+8 x^{2} \ln \left(x \right)^{2}-512 \ln \left(x \right)^{3}+128 \ln \left(x \right)^{2}-64 x \ln \left(x \right)^{2}-768 \ln \left(7\right)^{4}-32 x^{2} \ln \left(x \right)^{3}+32 \ln \left(7\right)^{5} x^{2}-256 \ln \left(7\right)^{5} x -48 \ln \left(7\right)^{4} x^{2}-3840 \ln \left(7\right)^{2} \ln \left(x \right)^{2}+512 \ln \left(7\right) \ln \left(x \right)^{2}-1536 \ln \left(7\right)^{4} \ln \left(x \right)+1536 \ln \left(7\right)^{3} \ln \left(x \right)^{2}-512 \ln \left(7\right)^{2} \ln \left(x \right)^{3}+3072 \ln \left(7\right)^{3} \ln \left(x \right)+1536 \ln \left(7\right) \ln \left(x \right)^{3}+512 \ln \left(7\right)^{5}-96 \ln \left(7\right)^{4} x^{2} \ln \left(x \right)+96 \ln \left(7\right)^{3} x^{2} \ln \left(x \right)^{2}-32 \ln \left(7\right)^{2} x^{2} \ln \left(x \right)^{3}+768 \ln \left(7\right)^{4} x \ln \left(x \right)-768 \ln \left(7\right)^{3} x \ln \left(x \right)^{2}+256 \ln \left(7\right)^{2} x \ln \left(x \right)^{3}-240 \ln \left(7\right)^{2} x^{2} \ln \left(x \right)^{2}+1920 \ln \left(7\right)^{2} x \ln \left(x \right)^{2}+192 \ln \left(7\right)^{3} x^{2} \ln \left(x \right)-1536 \ln \left(7\right)^{3} x \ln \left(x \right)+96 \ln \left(7\right) x^{2} \ln \left(x \right)^{3}-768 \ln \left(7\right) x \ln \left(x \right)^{3}+32 \ln \left(7\right) x^{2} \ln \left(x \right)^{2}-256 \ln \left(7\right) x \ln \left(x \right)^{2}\right)}{\left(2 \ln \left(7\right)-2 \ln \left(x \right)\right)^{4}}$&$407$\\ \hline \end{longtable}"," ",0,"x^2*(x^2-8*x+16)*exp(4*x)*ln(x)^2-4*x^2*(x^2-8*x+16)*exp(4*x)*ln(x)-2*(32*x^2*ln(7)-48*x^2-16*ln(7)*x^3+24*x^3+2*ln(7)*x^4-3*x^4)*exp(4*x)+2*x^2*exp(4*x)*(384*x*ln(7)^4+256*x*ln(x)^3+8*x^2*ln(x)^2-512*ln(x)^3+128*ln(x)^2-64*x*ln(x)^2-768*ln(7)^4-32*x^2*ln(x)^3+32*ln(7)^5*x^2-256*ln(7)^5*x-48*ln(7)^4*x^2-3840*ln(7)^2*ln(x)^2+512*ln(7)*ln(x)^2-1536*ln(7)^4*ln(x)+1536*ln(7)^3*ln(x)^2-512*ln(7)^2*ln(x)^3+3072*ln(7)^3*ln(x)+1536*ln(7)*ln(x)^3+512*ln(7)^5-96*ln(7)^4*x^2*ln(x)+96*ln(7)^3*x^2*ln(x)^2-32*ln(7)^2*x^2*ln(x)^3+768*ln(7)^4*x*ln(x)-768*ln(7)^3*x*ln(x)^2+256*ln(7)^2*x*ln(x)^3-240*ln(7)^2*x^2*ln(x)^2+1920*ln(7)^2*x*ln(x)^2+192*ln(7)^3*x^2*ln(x)-1536*ln(7)^3*x*ln(x)+96*ln(7)*x^2*ln(x)^3-768*ln(7)*x*ln(x)^3+32*ln(7)*x^2*ln(x)^2-256*ln(7)*x*ln(x)^2)/(2*ln(7)-2*ln(x))^4","B"
2591,1,25,23,0.123000," ","int(((3*x^2-2*x)*exp(1/4*exp(4)-x+17/4)-9*x^2+30*x-25)*exp(-exp(1/4*exp(4)-x+17/4)/(3*x-5))/(9*x^4-30*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{{\mathrm e}^{\frac{{\mathrm e}^{4}}{4}-x +\frac{17}{4}}}{3 x -5}}}{x}$&$25$\\ norman&$\frac{3 x \,{\mathrm e}^{-\frac{{\mathrm e}^{\frac{{\mathrm e}^{4}}{4}-x +\frac{17}{4}}}{3 x -5}}-5 \,{\mathrm e}^{-\frac{{\mathrm e}^{\frac{{\mathrm e}^{4}}{4}-x +\frac{17}{4}}}{3 x -5}}}{x \left(3 x -5\right)}$&$58$\\ \hline \end{longtable}"," ",0,"1/x*exp(-exp(1/4*exp(4)-x+17/4)/(3*x-5))","A"
2592,1,20,22,0.071000," ","int(((((-15*x^4-15*x+15)*ln(x)-15*x^4-15*x+15)*exp(1/2*x*ln(x))+120*x^3+30)*exp(exp(1/2*x*ln(x)))+90*x^4+360*x^3+120)/(2*exp(exp(1/2*x*ln(x)))^2+(4*x+12)*exp(exp(1/2*x*ln(x)))+2*x^2+12*x+18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{15 x^{4}+15 x -15}{x +3+{\mathrm e}^{x^{\frac{x}{2}}}}$&$20$\\ \hline \end{longtable}"," ",0,"15*(x^4+x-1)/(x+3+exp(x^(1/2*x)))","A"
2593,1,22,23,0.049000," ","int((((2*x+1)*ln(3)+2*x^2+2*x+1)*ln(x)+x^3+2*x^2+x)/(x^4+2*x^3+x^2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1+2 x +\ln \left(3\right)}{\left(x +1\right) x}+\ln \left(\ln \left(x \right)\right)$&$22$\\ norman&$\frac{-2 x -1-\ln \left(3\right)}{\left(x +1\right) x}+\ln \left(\ln \left(x \right)\right)$&$23$\\ default&$\ln \left(\ln \left(x \right)\right)-\frac{1}{x}-\frac{1}{x +1}-\frac{\ln \left(3\right)}{x}+\frac{\ln \left(3\right)}{x +1}$&$32$\\ \hline \end{longtable}"," ",0,"-(1+2*x+ln(3))/(x+1)/x+ln(ln(x))","A"
2594,1,14,27,0.053000," ","int(((3*x^2-13*x)*exp(3*x)+x^2-8*x+16)/(x^3-8*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{3 x}}{x -4}+\ln \left(x \right)$&$14$\\ risch&$\frac{{\mathrm e}^{3 x}}{x -4}+\ln \left(x \right)$&$14$\\ derivativedivides&$\ln \left(3 x \right)+\frac{3 \,{\mathrm e}^{3 x}}{3 x -12}$&$19$\\ default&$\ln \left(3 x \right)+\frac{3 \,{\mathrm e}^{3 x}}{3 x -12}$&$19$\\ \hline \end{longtable}"," ",0,"exp(3*x)/(x-4)+ln(x)","A"
2595,1,33,29,0.031000," ","int(((-2*x*ln(4*x)-2*x^4-8*x^3-8*x^2-2*x+2)*ln(x*ln(4*x)+x^4+4*x^3+4*x^2+x-1)+(2*x+2)*ln(4*x)+2*x^4+16*x^3+32*x^2+18*x+2)/((x*ln(4*x)+x^4+4*x^3+4*x^2+x-1)*ln(x*ln(4*x)+x^4+4*x^3+4*x^2+x-1)-x*ln(4*x)-x^4-4*x^3-4*x^2-x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x +2 \ln \left(\ln \left(x \ln \left(4 x \right)+x^{4}+4 x^{3}+4 x^{2}+x -1\right)-1\right)$&$33$\\ \hline \end{longtable}"," ",0,"-2*x+2*ln(ln(x*ln(4*x)+x^4+4*x^3+4*x^2+x-1)-1)","A"
2596,1,8,12,0.150000," ","int(-1/4*exp(x)/x/exp(ln(x)+20+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{-20}}{4 x}$&$8$\\ risch&$\frac{{\mathrm e}^{-20}}{4 x}$&$8$\\ norman&$\frac{{\mathrm e}^{-20}}{4 x}$&$10$\\ gosper&$\frac{{\mathrm e}^{x} {\mathrm e}^{-20-x}}{4 x}$&$13$\\ meijerg&$-\frac{\left(-1\right)^{{\mathrm e}^{-20}} x^{{\mathrm e}^{-20}-1} {\mathrm e}^{-20-x} \left(-\frac{{\mathrm e}^{20} x^{-{\mathrm e}^{-20}} \left(-1\right)^{-{\mathrm e}^{-20}} \left(x \,{\mathrm e}^{20}+{\mathrm e}^{20}-1\right) \Gamma \left(1+{\mathrm e}^{-20}\right) \Gamma \left(\left({\mathrm e}^{20}-1\right) {\mathrm e}^{-20}+1\right) L_{{\mathrm e}^{-20}}^{\left(\left({\mathrm e}^{20}-1\right) {\mathrm e}^{-20}\right)}\left(x \right)}{\left({\mathrm e}^{20}-1\right) \Gamma \left({\mathrm e}^{-20}+\left({\mathrm e}^{20}-1\right) {\mathrm e}^{-20}+1\right)}+\frac{{\mathrm e}^{40} x^{1-{\mathrm e}^{-20}} \left(-1\right)^{-{\mathrm e}^{-20}} L_{{\mathrm e}^{-20}}^{\left(\left({\mathrm e}^{20}-1\right) {\mathrm e}^{-20}+1\right)}\left(x \right) \Gamma \left(1+{\mathrm e}^{-20}\right) \Gamma \left(\left({\mathrm e}^{20}-1\right) {\mathrm e}^{-20}+1\right)}{\left({\mathrm e}^{20}-1\right) \Gamma \left({\mathrm e}^{-20}+\left({\mathrm e}^{20}-1\right) {\mathrm e}^{-20}+1\right)}\right)}{4}$&$155$\\ \hline \end{longtable}"," ",0,"1/4*exp(-20)/x","A"
2597,1,23,19,0.026000," ","int((-4*x^3*exp(4*x)-16*x^5+52*x^4-32*x^3)/exp(4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{4}+\left(4 x^{5}-8 x^{4}\right) {\mathrm e}^{-4 x}$&$23$\\ norman&$\left(-8 x^{4}+4 x^{5}-x^{4} {\mathrm e}^{4 x}\right) {\mathrm e}^{-4 x}$&$28$\\ derivativedivides&$-x^{4}-8 \,{\mathrm e}^{-4 x} x^{4}+4 \,{\mathrm e}^{-4 x} x^{5}$&$29$\\ default&$-x^{4}-8 \,{\mathrm e}^{-4 x} x^{4}+4 \,{\mathrm e}^{-4 x} x^{5}$&$29$\\ \hline \end{longtable}"," ",0,"-x^4+(4*x^5-8*x^4)*exp(-4*x)","A"
2598,1,17,16,0.021000," ","int((28*x^3+6*x-11)/(4*x^4+2*x^2-11*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)+2 \ln \left(4 x^{3}+2 x -11\right)$&$17$\\ norman&$\ln \left(x \right)+2 \ln \left(4 x^{3}+2 x -11\right)$&$17$\\ risch&$\ln \left(x \right)+2 \ln \left(4 x^{3}+2 x -11\right)$&$17$\\ \hline \end{longtable}"," ",0,"ln(x)+2*ln(4*x^3+2*x-11)","A"
2599,1,38,33,0.096000," ","int(((2*x^3-x^2)*ln(x)+x^2*exp(3)*exp(x^2-x)+(8*x^2-4*x+4)*exp(3)-4*x^3+2*x^2-x)/x^2/exp(3)/exp(x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-3} \left(\frac{\left(2 x -x \ln \left(x \right)-4 \,{\mathrm e}^{3}\right) {\mathrm e}^{-x^{2}+x}}{x}+x \,{\mathrm e}^{3}\right)$&$38$\\ norman&$\frac{\left(-4+x^{2} {\mathrm e}^{x^{2}-x}+2 \,{\mathrm e}^{-3} x -x \,{\mathrm e}^{-3} \ln \left(x \right)\right) {\mathrm e}^{-x^{2}+x}}{x}$&$45$\\ risch&$-\ln \left(x \right) {\mathrm e}^{-x^{2}+x -3}+\frac{\left(x^{2} {\mathrm e}^{x^{2}-x +3}-4 \,{\mathrm e}^{3}+2 x \right) {\mathrm e}^{-x^{2}+x -3}}{x}$&$49$\\ \hline \end{longtable}"," ",0,"1/exp(3)*((2*x-x*ln(x)-4*exp(3))/x/exp(x^2-x)+x*exp(3))","A"
2600,1,40,22,0.138000," ","int((-2*x^3+4*x^2+x-8)/(27*x*exp((x^3-4*x^2+2*x-8)/x)+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{3}-4 x^{2}+2 x -8}{3 x}+\frac{\ln \left(\frac{x}{9}+{\mathrm e}^{\frac{\left(x -4\right) \left(x^{2}+2\right)}{x}}\right)}{3}$&$40$\\ \hline \end{longtable}"," ",0,"-1/3*(x^3-4*x^2+2*x-8)/x+1/3*ln(1/9*x+exp((x-4)*(x^2+2)/x))","A"
2601,1,36,24,0.104000," ","int(((32*x*exp(x)^2+(64*x^2-10*x+10)*exp(x)+32*x^3)*exp(((8*x^2+4)*exp(x)+8*x^3+9*x)/(10*exp(x)+10*x))+20*exp(x)^2+40*exp(x)*x+20*x^2)/(5*exp(x)^2+10*exp(x)*x+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x +4 \,{\mathrm e}^{\frac{8 \,{\mathrm e}^{x} x^{2}+8 x^{3}+4 \,{\mathrm e}^{x}+9 x}{10 \,{\mathrm e}^{x}+10 x}}$&$36$\\ norman&$\frac{4 x^{2}+4 x \,{\mathrm e}^{\frac{\left(8 x^{2}+4\right) {\mathrm e}^{x}+8 x^{3}+9 x}{10 \,{\mathrm e}^{x}+10 x}}+4 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{x} {\mathrm e}^{\frac{\left(8 x^{2}+4\right) {\mathrm e}^{x}+8 x^{3}+9 x}{10 \,{\mathrm e}^{x}+10 x}}}{{\mathrm e}^{x}+x}$&$88$\\ \hline \end{longtable}"," ",0,"4*x+4*exp(1/10*(8*exp(x)*x^2+8*x^3+4*exp(x)+9*x)/(exp(x)+x))","A"
2602,1,20,19,0.212000," ","int((-64*x^4-224*x^3-96*x^2)*exp(x^2+7*x)*exp(8*x^3*exp(x^2+7*x))/(exp(8*x^3*exp(x^2+7*x))^2+2*exp(5)*exp(8*x^3*exp(x^2+7*x))+exp(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{{\mathrm e}^{8 \,{\mathrm e}^{\left(x +7\right) x} x^{3}}+{\mathrm e}^{5}}$&$20$\\ norman&$\frac{4}{{\mathrm e}^{8 x^{3} {\mathrm e}^{x^{2}+7 x}}+{\mathrm e}^{5}}$&$22$\\ \hline \end{longtable}"," ",0,"4/(exp(8*exp((x+7)*x)*x^3)+exp(5))","A"
2603,1,25,26,0.132000," ","int(((((x-10)*ln(3)+x^2-10*x)*ln(x)+(5-x)*ln(3)-x^2+5*x)*ln(ln(3)+x)+(((x-10)*exp(4)-2*x^2+13*x+20)*ln(3)+(x^2-10*x)*exp(4)-2*x^3+14*x^2+15*x)*ln(x)+((5-x)*exp(4)+x^2-3*x-10)*ln(3)+(-x^2+5*x)*exp(4)+x^3-3*x^2-10*x)/((4*x^3*ln(3)+4*x^4)*ln(ln(3)+x)^2+((8*x^3*exp(4)-8*x^4-16*x^3)*ln(3)+8*x^4*exp(4)-8*x^5-16*x^4)*ln(ln(3)+x)+(4*x^3*exp(4)^2+(-8*x^4-16*x^3)*exp(4)+4*x^5+16*x^4+16*x^3)*ln(3)+4*x^4*exp(4)^2+(-8*x^5-16*x^4)*exp(4)+4*x^6+16*x^5+16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x -5\right) \ln \left(x \right)}{4 x^{2} \left({\mathrm e}^{4}+\ln \left(\ln \left(3\right)+x \right)-x -2\right)}$&$25$\\ \hline \end{longtable}"," ",0,"-1/4*(x-5)*ln(x)/x^2/(exp(4)+ln(ln(3)+x)-x-2)","A"
2604,1,16,16,0.399000," ","int((-2*x^3+7*x^2-4*x-2)/(x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x -x^{2}+\ln \left(x \right)+\ln \left(x -2\right)$&$16$\\ norman&$3 x -x^{2}+\ln \left(x \right)+\ln \left(x -2\right)$&$16$\\ risch&$-x^{2}+3 x +\ln \left(x^{2}-2 x \right)$&$18$\\ meijerg&$\ln \left(x \right)-\ln \left(2\right)+i \pi +\ln \left(1-\frac{x}{2}\right)-\frac{2 x \left(\frac{3 x}{2}+6\right)}{3}+7 x$&$29$\\ \hline \end{longtable}"," ",0,"3*x-x^2+ln(x)+ln(x-2)","A"
2605,1,19,20,0.013000," ","int(1/4*(-108*x^3+288*x^2-9*x+36)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-9 x^{3}+36 x^{2}-\frac{9 x}{4}+9 \ln \left(x \right)$&$19$\\ norman&$-9 x^{3}+36 x^{2}-\frac{9 x}{4}+9 \ln \left(x \right)$&$19$\\ risch&$-9 x^{3}+36 x^{2}-\frac{9 x}{4}+9 \ln \left(x \right)$&$19$\\ \hline \end{longtable}"," ",0,"-9*x^3+36*x^2-9/4*x+9*ln(x)","A"
2606,1,59,31,0.086000," ","int((((5*x*exp(x-3)-5*x^2)*exp(x-1)+(15*x-5)*exp(x-3)-10*x^2)*exp(2*x)*exp(exp(x-1))+((6*x-2)*exp(x-3)-4*x^2)*exp(2*x)+(x^3+x^2-4*x+4)*exp(x-3)-2*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+\frac{2 \,{\mathrm e}^{3 x -3}}{x}-2 \,{\mathrm e}^{2 x}+\frac{\left(x^{2}-4\right) {\mathrm e}^{x -3}}{x}+\frac{5 \left({\mathrm e}^{x -3}-x \right) {\mathrm e}^{{\mathrm e}^{x -1}+2 x}}{x}$&$59$\\ \hline \end{longtable}"," ",0,"-x^2+2/x*exp(3*x-3)-2*exp(2*x)+(x^2-4)/x*exp(x-3)+5/x*(exp(x-3)-x)*exp(exp(x-1)+2*x)","A"
2607,1,17,16,0.012000," ","int(-625/2*x*exp(-exp(5)+x^2+1)+625/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{625 x}{4}-\frac{625 \,{\mathrm e}^{-{\mathrm e}^{5}+x^{2}+1}}{4}$&$17$\\ norman&$\frac{625 x}{4}-\frac{625 \,{\mathrm e}^{-{\mathrm e}^{5}+x^{2}+1}}{4}$&$17$\\ risch&$\frac{625 x}{4}-\frac{625 \,{\mathrm e}^{-{\mathrm e}^{5}+x^{2}+1}}{4}$&$17$\\ \hline \end{longtable}"," ",0,"625/4*x-625/4*exp(-exp(5)+x^2+1)","A"
2608,1,2156,27,0.569000," ","int(((2*x^6+6*x^5)*exp(x)^2+(-6*x^5-30*x^4)*exp(x)+36*x^3)*ln(x^2)^4+(8*x^5*exp(x)^2-48*exp(x)*x^4+72*x^3)*ln(x^2)^3+((4*x^3+6*x^2)*exp(x)^2+(-6*x^2-12*x)*exp(x))*ln(x^2)^2+(8*exp(x)^2*x^2-24*exp(x)*x)*ln(x^2)+2*exp(x)^2+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2156$\\ \hline \end{longtable}"," ",0,"x+exp(2*x)+4*I*Pi*csgn(I*x^2)^3*(1/2*exp(2*x)*x^2-1/2*x*exp(2*x)+1/4*exp(2*x))-1/2*Pi^2*csgn(I*x^2)^2*(csgn(I*x)^2-2*csgn(I*x^2)*csgn(I*x)+csgn(I*x^2)^2)^2*(-3*exp(x)*x^2+exp(2*x)*x^3)+1/16*Pi^4*x^6*csgn(I*x^2)^12*exp(2*x)+63/4*Pi^4*x^4*csgn(I*x)^6*csgn(I*x^2)^6-63/2*Pi^4*x^4*csgn(I*x)^5*csgn(I*x^2)^7+315/8*Pi^4*x^4*csgn(I*x)^4*csgn(I*x^2)^8-63/2*Pi^4*x^4*csgn(I*x)^3*csgn(I*x^2)^9-3/8*Pi^4*x^5*csgn(I*x^2)^12*exp(x)+63/4*Pi^4*x^4*csgn(I*x)^2*csgn(I*x^2)^10-9/2*Pi^4*x^4*csgn(I*x)*csgn(I*x^2)^11+9/16*Pi^4*x^4*csgn(I*x)^8*csgn(I*x^2)^4-9/2*Pi^4*x^4*csgn(I*x)^7*csgn(I*x^2)^5-12*I*Pi*csgn(I*x^2)^3*(exp(x)*x-exp(x))+((8*x^2-8*x+4)*exp(2*x)+(-48*x+48)*exp(x))*ln(x)+(-4*I*(Pi*x^3*csgn(I*x)^2*csgn(I*x^2)-2*Pi*x^3*csgn(I*x)*csgn(I*x^2)^2+Pi*x^3*csgn(I*x^2)^3-2*I*x^2+2*I*x-I)*exp(2*x)+12*I*(Pi*x^2*csgn(I*x)^2*csgn(I*x^2)-2*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2+Pi*x^2*csgn(I*x^2)^3-4*I*x+4*I)*exp(x))*ln(x)+(8*exp(2*x)*x^3-24*exp(x)*x^2)*ln(x)^2+(16*x^6*exp(2*x)-96*x^5*exp(x)+144*x^4)*ln(x)^4+(-6*Pi^2*x^6*csgn(I*x)^4*csgn(I*x^2)^2*exp(2*x)+24*Pi^2*x^6*csgn(I*x)^3*csgn(I*x^2)^3*exp(2*x)-36*Pi^2*x^6*csgn(I*x)^2*csgn(I*x^2)^4*exp(2*x)+24*Pi^2*x^6*csgn(I*x)*csgn(I*x^2)^5*exp(2*x)-6*Pi^2*x^6*csgn(I*x^2)^6*exp(2*x)+36*Pi^2*x^5*csgn(I*x)^4*csgn(I*x^2)^2*exp(x)-144*Pi^2*x^5*csgn(I*x)^3*csgn(I*x^2)^3*exp(x)+216*Pi^2*x^5*csgn(I*x)^2*csgn(I*x^2)^4*exp(x)-144*Pi^2*x^5*csgn(I*x)*csgn(I*x^2)^5*exp(x)+36*Pi^2*x^5*csgn(I*x^2)^6*exp(x)-54*Pi^2*x^4*csgn(I*x)^4*csgn(I*x^2)^2+216*Pi^2*x^4*csgn(I*x)^3*csgn(I*x^2)^3-324*Pi^2*x^4*csgn(I*x)^2*csgn(I*x^2)^4+216*Pi^2*x^4*csgn(I*x)*csgn(I*x^2)^5-54*Pi^2*x^4*csgn(I*x^2)^6)*ln(x)^2-21/2*Pi^4*x^5*csgn(I*x)^6*csgn(I*x^2)^6*exp(x)+21*Pi^4*x^5*csgn(I*x)^5*csgn(I*x^2)^7*exp(x)-105/4*Pi^4*x^5*csgn(I*x)^4*csgn(I*x^2)^8*exp(x)+21*Pi^4*x^5*csgn(I*x)^3*csgn(I*x^2)^9*exp(x)-21/2*Pi^4*x^5*csgn(I*x)^2*csgn(I*x^2)^10*exp(x)+3*Pi^4*x^5*csgn(I*x)*csgn(I*x^2)^11*exp(x)+1/16*Pi^4*x^6*csgn(I*x)^8*csgn(I*x^2)^4*exp(2*x)-1/2*Pi^4*x^6*csgn(I*x)^7*csgn(I*x^2)^5*exp(2*x)-1/2*Pi^4*x^6*csgn(I*x)*csgn(I*x^2)^11*exp(2*x)-4*I*Pi*csgn(I*x^2)*(csgn(I*x)^2-2*csgn(I*x^2)*csgn(I*x)+csgn(I*x^2)^2)*(1/2*exp(2*x)*x^2-1/2*x*exp(2*x)+1/4*exp(2*x)-3*exp(x)*x+3*exp(x))+24*I*Pi*csgn(I*x)*csgn(I*x^2)^2*(exp(x)*x-exp(x))-12*I*Pi*csgn(I*x)^2*csgn(I*x^2)*(exp(x)*x-exp(x))-7/2*Pi^4*x^6*csgn(I*x)^5*csgn(I*x^2)^7*exp(2*x)+9/16*Pi^4*x^4*csgn(I*x^2)^12+35/8*Pi^4*x^6*csgn(I*x)^4*csgn(I*x^2)^8*exp(2*x)-7/2*Pi^4*x^6*csgn(I*x)^3*csgn(I*x^2)^9*exp(2*x)+7/4*Pi^4*x^6*csgn(I*x)^2*csgn(I*x^2)^10*exp(2*x)-3/8*Pi^4*x^5*csgn(I*x)^8*csgn(I*x^2)^4*exp(x)+3*Pi^4*x^5*csgn(I*x)^7*csgn(I*x^2)^5*exp(x)-8*I*Pi*csgn(I*x)*csgn(I*x^2)^2*(1/2*exp(2*x)*x^2-1/2*x*exp(2*x)+1/4*exp(2*x))+4*I*Pi*csgn(I*x)^2*csgn(I*x^2)*(1/2*exp(2*x)*x^2-1/2*x*exp(2*x)+1/4*exp(2*x))-16*I*Pi*x^4*csgn(I*x^2)*(x^2*csgn(I*x)^2*exp(2*x)-2*x^2*csgn(I*x)*csgn(I*x^2)*exp(2*x)+x^2*csgn(I*x^2)^2*exp(2*x)-6*x*csgn(I*x)^2*exp(x)+12*x*csgn(I*x)*csgn(I*x^2)*exp(x)-6*x*csgn(I*x^2)^2*exp(x)+9*csgn(I*x)^2-18*csgn(I*x^2)*csgn(I*x)+9*csgn(I*x^2)^2)*ln(x)^3+I*Pi^3*x^4*csgn(I*x^2)^3*(x^2*csgn(I*x)^6*exp(2*x)-6*x^2*csgn(I*x)^5*csgn(I*x^2)*exp(2*x)+15*x^2*csgn(I*x)^4*csgn(I*x^2)^2*exp(2*x)-20*x^2*csgn(I*x)^3*csgn(I*x^2)^3*exp(2*x)+15*x^2*csgn(I*x)^2*csgn(I*x^2)^4*exp(2*x)-6*x^2*csgn(I*x)*csgn(I*x^2)^5*exp(2*x)+x^2*csgn(I*x^2)^6*exp(2*x)-6*x*csgn(I*x)^6*exp(x)+36*x*csgn(I*x)^5*csgn(I*x^2)*exp(x)-90*x*csgn(I*x)^4*csgn(I*x^2)^2*exp(x)+120*x*csgn(I*x)^3*csgn(I*x^2)^3*exp(x)-90*x*csgn(I*x)^2*csgn(I*x^2)^4*exp(x)+36*x*csgn(I*x)*csgn(I*x^2)^5*exp(x)-6*x*csgn(I*x^2)^6*exp(x)+9*csgn(I*x)^6-54*csgn(I*x)^5*csgn(I*x^2)+135*csgn(I*x)^4*csgn(I*x^2)^2-180*csgn(I*x)^3*csgn(I*x^2)^3+135*csgn(I*x)^2*csgn(I*x^2)^4-54*csgn(I*x)*csgn(I*x^2)^5+9*csgn(I*x^2)^6)*ln(x)+7/4*Pi^4*x^6*csgn(I*x)^6*csgn(I*x^2)^6*exp(2*x)","C"
2609,1,201,23,0.148000," ","int(((x*ln(x)-x^3+x^2-5*x)*ln((12*ln(x)-12*x^2+12*x-60)/exp(x))+(x^2+2*x)*ln(x)-x^4+x^3-13*x-2)/(x*ln(x)-x^3+x^2-5*x)/ln((12*ln(x)-12*x^2+12*x-60)/exp(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 i \left(2+x \right)}{-2 \pi  \mathrm{csgn}\left(i \left(\ln \left(x \right)+x -x^{2}-5\right) {\mathrm e}^{-x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)+x -x^{2}-5\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+x -x^{2}-5\right) {\mathrm e}^{-x}\right)-\pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)+x -x^{2}-5\right)\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+x -x^{2}-5\right) {\mathrm e}^{-x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+x -x^{2}-5\right) {\mathrm e}^{-x}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(\ln \left(x \right)+x -x^{2}-5\right) {\mathrm e}^{-x}\right)^{3}+2 \pi -4 i \ln \left(2\right)-2 i \ln \left(3\right)-2 i \ln \left(-\ln \left(x \right)-x +x^{2}+5\right)+2 i \ln \left({\mathrm e}^{x}\right)}$&$201$\\ \hline \end{longtable}"," ",0,"-2*I*(2+x)/(-2*Pi*csgn(I*(ln(x)+x-x^2-5)*exp(-x))^2-Pi*csgn(I*(ln(x)+x-x^2-5))*csgn(I*exp(-x))*csgn(I*(ln(x)+x-x^2-5)*exp(-x))-Pi*csgn(I*(ln(x)+x-x^2-5))*csgn(I*(ln(x)+x-x^2-5)*exp(-x))^2+Pi*csgn(I*exp(-x))*csgn(I*(ln(x)+x-x^2-5)*exp(-x))^2-Pi*csgn(I*(ln(x)+x-x^2-5)*exp(-x))^3+2*Pi-4*I*ln(2)-2*I*ln(3)-2*I*ln(-ln(x)-x+x^2+5)+2*I*ln(exp(x)))","C"
2610,1,43,27,0.049000," ","int((((-4*x*ln(x)+12*x+4)*exp(-x*ln(x)+4*x)+1)*exp(x*exp(-x*ln(x)+4*x))^2+((-4*x^3*ln(x)+12*x^3+4*x^2)*exp(-x*ln(x)+4*x)+2*x^2+8*x)*exp(x*exp(-x*ln(x)+4*x))+x^4+8*x^3-x-2)/(exp(x*exp(-x*ln(x)+4*x))^2+2*x^2*exp(x*exp(-x*ln(x)+4*x))+x^4-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +2 \ln \left({\mathrm e}^{2 x \,x^{-x} {\mathrm e}^{4 x}}+2 x^{2} {\mathrm e}^{x \,x^{-x} {\mathrm e}^{4 x}}+x^{4}-x \right)$&$43$\\ \hline \end{longtable}"," ",0,"x+2*ln(exp(2*x*x^(-x)*exp(4*x))+2*x^2*exp(x*x^(-x)*exp(4*x))+x^4-x)","A"
2611,1,89,34,0.092000," ","int(1/5000*((-32*exp(1)^4-640*exp(1)^3+(-400*x^3+1500*x-4800)*exp(1)^2+(-4000*x^3+15000*x-16000)*exp(1)+10000*x^6-10000*x^3-15625*x^2+37500*x-20000)*exp(5)+200*x^2*exp(1)^2+2000*x^2*exp(1)-2500*x^5-3125*x^3+5000*x^2)/x^5/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{{\mathrm e}^{-5} x}{2}+\frac{{\mathrm e}^{-5} \left(\left(10000 \,{\mathrm e}^{5}+400 \,{\mathrm e}^{7}+4000 \,{\mathrm e}^{6}+3125\right) x^{3}+\left(\frac{15625 \,{\mathrm e}^{5}}{2}-100 \,{\mathrm e}^{2}-1000 \,{\mathrm e}-2500\right) x^{2}+\left(-500 \,{\mathrm e}^{7}-5000 \,{\mathrm e}^{6}-12500 \,{\mathrm e}^{5}\right) x +8 \,{\mathrm e}^{9}+160 \,{\mathrm e}^{8}+1200 \,{\mathrm e}^{7}+4000 \,{\mathrm e}^{6}+5000 \,{\mathrm e}^{5}\right)}{5000 x^{4}}$&$89$\\ default&$\frac{{\mathrm e}^{-5} \left(-2500 x +5000 x^{2} {\mathrm e}^{5}-\frac{37500 \,{\mathrm e}^{5}+1500 \,{\mathrm e}^{7}+15000 \,{\mathrm e}^{6}}{3 x^{3}}-\frac{-15625 \,{\mathrm e}^{5}+200 \,{\mathrm e}^{2}+2000 \,{\mathrm e}+5000}{2 x^{2}}-\frac{-10000 \,{\mathrm e}^{5}-400 \,{\mathrm e}^{7}-4000 \,{\mathrm e}^{6}-3125}{x}-\frac{-20000 \,{\mathrm e}^{5}-4800 \,{\mathrm e}^{7}-32 \,{\mathrm e}^{9}-16000 \,{\mathrm e}^{6}-640 \,{\mathrm e}^{8}}{4 x^{4}}\right)}{5000}$&$100$\\ norman&$\frac{x^{6}+\left(-\frac{{\mathrm e}^{2}}{10}-{\mathrm e}-\frac{5}{2}\right) x -\frac{{\mathrm e}^{-5} x^{5}}{2}+\frac{\left(-8 \,{\mathrm e}^{2}+625 \,{\mathrm e}^{5}-80 \,{\mathrm e}-200\right) {\mathrm e}^{-5} x^{2}}{400}+\frac{\left(16 \,{\mathrm e}^{2} {\mathrm e}^{5}+160 \,{\mathrm e} \,{\mathrm e}^{5}+400 \,{\mathrm e}^{5}+125\right) {\mathrm e}^{-5} x^{3}}{200}+\frac{{\mathrm e}^{4}}{625}+\frac{4 \,{\mathrm e}^{3}}{125}+\frac{6 \,{\mathrm e}^{2}}{25}+\frac{4 \,{\mathrm e}}{5}+1}{x^{4}}$&$109$\\ gosper&$\frac{\left(10000 x^{6} {\mathrm e}^{5}+800 \,{\mathrm e}^{5} {\mathrm e}^{2} x^{3}+16 \,{\mathrm e}^{4} {\mathrm e}^{5}+8000 \,{\mathrm e}^{5} {\mathrm e} x^{3}-5000 x^{5}+320 \,{\mathrm e}^{3} {\mathrm e}^{5}-1000 \,{\mathrm e}^{5} {\mathrm e}^{2} x +20000 x^{3} {\mathrm e}^{5}-200 x^{2} {\mathrm e}^{2}+2400 \,{\mathrm e}^{2} {\mathrm e}^{5}-10000 x \,{\mathrm e} \,{\mathrm e}^{5}+15625 x^{2} {\mathrm e}^{5}-2000 x^{2} {\mathrm e}+6250 x^{3}+8000 \,{\mathrm e} \,{\mathrm e}^{5}-25000 x \,{\mathrm e}^{5}-5000 x^{2}+10000 \,{\mathrm e}^{5}\right) {\mathrm e}^{-5}}{10000 x^{4}}$&$138$\\ \hline \end{longtable}"," ",0,"x^2-1/2*exp(-5)*x+1/5000*exp(-5)*((10000*exp(5)+400*exp(7)+4000*exp(6)+3125)*x^3+(15625/2*exp(5)-100*exp(2)-1000*exp(1)-2500)*x^2+(-500*exp(7)-5000*exp(6)-12500*exp(5))*x+8*exp(9)+160*exp(8)+1200*exp(7)+4000*exp(6)+5000*exp(5))/x^4","B"
2612,1,229,24,0.405000," ","int((-ln(x)*ln(x^2*ln(x)^2)+(exp(x)*x^2+2)*ln(x)+2)*exp((ln(x^2*ln(x)^2)+exp(x)*x-x*exp(4)^2+3*x)/x)/x^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}-2 i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)+i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \ln \left(x \right)^{2}\right)-i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(i x^{2} \ln \left(x \right)^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \ln \left(x \right)^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{2} \ln \left(x \right)^{2}\right)^{3}-2 \,{\mathrm e}^{x} x +2 x \,{\mathrm e}^{8}-4 \ln \left(x \right)-4 \ln \left(\ln \left(x \right)\right)-6 x}{2 x}}$&$229$\\ \hline \end{longtable}"," ",0,"exp(-1/2*(I*Pi*csgn(I*ln(x)^2)^3-2*I*Pi*csgn(I*ln(x)^2)^2*csgn(I*ln(x))+I*Pi*csgn(I*ln(x)^2)*csgn(I*ln(x))^2+I*Pi*csgn(I*ln(x)^2)*csgn(I*x^2)*csgn(I*x^2*ln(x)^2)-I*Pi*csgn(I*ln(x)^2)*csgn(I*x^2*ln(x)^2)^2+I*Pi*csgn(I*x^2)^3-2*I*Pi*csgn(I*x^2)^2*csgn(I*x)+I*Pi*csgn(I*x^2)*csgn(I*x)^2-I*Pi*csgn(I*x^2)*csgn(I*x^2*ln(x)^2)^2+I*Pi*csgn(I*x^2*ln(x)^2)^3-2*exp(x)*x+2*x*exp(8)-4*ln(x)-4*ln(ln(x))-6*x)/x)","C"
2613,1,15,16,0.024000," ","int(((10*x^2+20*x)*exp(x)*ln(x)+10*exp(x)*x)/(5*x^2*exp(x)*ln(x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(5 x^{2} {\mathrm e}^{x} \ln \left(x \right)+4\right)$&$15$\\ risch&$2 x +4 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)+\frac{4 \,{\mathrm e}^{-x}}{5 x^{2}}\right)$&$24$\\ \hline \end{longtable}"," ",0,"2*ln(5*x^2*exp(x)*ln(x)+4)","A"
2614,1,42,25,0.289000," ","int(((-x^3-x^2+1)*ln(x^2*ln(3)/(x^6+2*x^5+x^4-2*x^3-2*x^2+1))^2+(8*x^3+4*x^2+4)*ln(x^2*ln(3)/(x^6+2*x^5+x^4-2*x^3-2*x^2+1))-3*x^3-3*x^2+3)/(3*x^3+3*x^2-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -\frac{x \ln \left(\frac{x^{2} \ln \left(3\right)}{x^{6}+2 x^{5}+x^{4}-2 x^{3}-2 x^{2}+1}\right)^{2}}{3}$&$42$\\ risch&$-x -\frac{x \ln \left(\frac{x^{2} \ln \left(3\right)}{x^{6}+2 x^{5}+x^{4}-2 x^{3}-2 x^{2}+1}\right)^{2}}{3}$&$42$\\ \hline \end{longtable}"," ",0,"-x-1/3*x*ln(x^2*ln(3)/(x^6+2*x^5+x^4-2*x^3-2*x^2+1))^2","A"
2615,1,18,22,0.032000," ","int(exp(x)^2/(4*exp(1/(exp(2)+3))+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{2 x}}{8 \,{\mathrm e}^{\frac{1}{{\mathrm e}^{2}+3}}+24}$&$18$\\ default&$\frac{{\mathrm e}^{2 x}}{8 \,{\mathrm e}^{\frac{1}{{\mathrm e}^{2}+3}}+24}$&$18$\\ norman&$\frac{{\mathrm e}^{2 x}}{8 \,{\mathrm e}^{\frac{1}{{\mathrm e}^{2}+3}}+24}$&$18$\\ derivativedivides&$\frac{{\mathrm e}^{2 x}}{8 \,{\mathrm e}^{\frac{1}{{\mathrm e}^{2}+3}}+24}$&$20$\\ risch&$\frac{{\mathrm e}^{2 x}}{8 \,{\mathrm e}^{\frac{1}{{\mathrm e}^{2}+3}}+24}$&$20$\\ meijerg&$-\frac{1-{\mathrm e}^{2 x}}{2 \left(4 \,{\mathrm e}^{\frac{1}{{\mathrm e}^{2}+3}}+12\right)}$&$24$\\ \hline \end{longtable}"," ",0,"1/8*exp(x)^2/(exp(1/(exp(2)+3))+3)","A"
2616,1,7,13,0.012000," ","int(-8*exp(-8*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-8 x +4}$&$7$\\ derivativedivides&${\mathrm e}^{-8 x +4}$&$7$\\ default&${\mathrm e}^{-8 x +4}$&$7$\\ norman&${\mathrm e}^{-8 x +4}$&$7$\\ risch&${\mathrm e}^{-8 x +4}$&$7$\\ meijerg&$-{\mathrm e}^{4} \left(1-{\mathrm e}^{-8 x}\right)$&$13$\\ \hline \end{longtable}"," ",0,"exp(-8*x+4)","A"
2617,1,17,16,0.016000," ","int((x^2*ln(x)^2+(x^2+26)*ln(x)-x^2-x+26)/x^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x^{2}+x -26}{x \ln \left(x \right)}$&$17$\\ norman&$\frac{-26+x +x^{2}+x^{2} \ln \left(x \right)}{x \ln \left(x \right)}$&$21$\\ default&$x +\frac{x}{\ln \left(x \right)}+\frac{1}{\ln \left(x \right)}-\frac{26}{x \ln \left(x \right)}$&$22$\\ \hline \end{longtable}"," ",0,"x+1/x*(x^2+x-26)/ln(x)","A"
2618,1,61,23,0.056000," ","int(((-x+4)*ln(x-4)^3*ln(x)^4+(-3*x^2+10*x+8)*ln(x-4)^3*ln(x)^3+((-3*x^3+6*x^2+24*x)*ln(x-4)^3+(-25*x+100)*ln(x-4)^2+50*x*ln(x-4))*ln(x)^2+((-x^4-2*x^3+24*x^2)*ln(x-4)^3+(50*x-200)*ln(x-4)^2+100*x^2*ln(x-4))*ln(x)+(-2*x^4+8*x^3)*ln(x-4)^3+(25*x^3-50*x^2-200*x)*ln(x-4)^2+50*x^3*ln(x-4))/((x^3-4*x^2)*ln(x-4)^3*ln(x)^6+(3*x^4-12*x^3)*ln(x-4)^3*ln(x)^5+((3*x^5-12*x^4)*ln(x-4)^3+(75*x^3-300*x^2)*ln(x-4)^2)*ln(x)^4+((x^6-4*x^5)*ln(x-4)^3+(150*x^4-600*x^3)*ln(x-4)^2)*ln(x)^3+((75*x^5-300*x^4)*ln(x-4)^2+(1875*x^3-7500*x^2)*ln(x-4))*ln(x)^2+(1875*x^4-7500*x^3)*ln(x-4)*ln(x)+15625*x^3-62500*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x \ln \left(x \right)^{2}}-\frac{25 \left(2 x \ln \left(x -4\right) \ln \left(x \right)+2 \ln \left(x \right)^{2} \ln \left(x -4\right)+25\right)}{\ln \left(x \right)^{2} x \left(\ln \left(x \right)^{2} \ln \left(x -4\right)+x \ln \left(x -4\right) \ln \left(x \right)+25\right)^{2}}$&$61$\\ \hline \end{longtable}"," ",0,"1/x/ln(x)^2-25*(2*x*ln(x-4)*ln(x)+2*ln(x)^2*ln(x-4)+25)/ln(x)^2/x/(ln(x)^2*ln(x-4)+x*ln(x-4)*ln(x)+25)^2","B"
2619,1,134,19,0.488000," ","int(((-2*x^3-10*x^2+x+5)*ln(5+x)*ln(12*x/ln(5+x))+(5+x)*ln(5+x)-x)/(20*x+100)/exp(x^2)/ln(5+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \,{\mathrm e}^{-x^{2}} \ln \left(\ln \left(5+x \right)\right)}{20}+\frac{x \left(-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(5+x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(5+x \right)}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(5+x \right)}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(5+x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(5+x \right)}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(5+x \right)}\right)^{3}+4 \ln \left(2\right)+2 \ln \left(3\right)+2 \ln \left(x \right)\right) {\mathrm e}^{-x^{2}}}{40}$&$134$\\ \hline \end{longtable}"," ",0,"-1/20*x*exp(-x^2)*ln(ln(5+x))+1/40*x*(-I*Pi*csgn(I*x)*csgn(I/ln(5+x))*csgn(I*x/ln(5+x))+I*Pi*csgn(I*x)*csgn(I*x/ln(5+x))^2+I*Pi*csgn(I/ln(5+x))*csgn(I*x/ln(5+x))^2-I*Pi*csgn(I*x/ln(5+x))^3+4*ln(2)+2*ln(3)+2*ln(x))*exp(-x^2)","C"
2620,1,29,16,0.043000," ","int((16*exp(5)+32*x+8)*exp(4*exp(5)^2+(16*x+4)*exp(5)+16*x^2+8*x+1)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{16 x \,{\mathrm e}^{5}+16 x^{2}+4 \,{\mathrm e}^{5}+4 \,{\mathrm e}^{10}+8 x +1}$&$29$\\ norman&$-x +{\mathrm e}^{4 \,{\mathrm e}^{10}+\left(16 x +4\right) {\mathrm e}^{5}+16 x^{2}+8 x +1}$&$30$\\ default&$-x -i \sqrt{\pi}\, {\mathrm e}^{4 \,{\mathrm e}^{5}+4 \,{\mathrm e}^{10}+1-\frac{\left(16 \,{\mathrm e}^{5}+8\right)^{2}}{64}} \erf \left(4 i x +\frac{i \left(16 \,{\mathrm e}^{5}+8\right)}{8}\right)+{\mathrm e}^{16 x^{2}+\left(16 \,{\mathrm e}^{5}+8\right) x +4 \,{\mathrm e}^{5}+4 \,{\mathrm e}^{10}+1}+\frac{i \left(16 \,{\mathrm e}^{5}+8\right) \sqrt{\pi}\, {\mathrm e}^{4 \,{\mathrm e}^{5}+4 \,{\mathrm e}^{10}+1-\frac{\left(16 \,{\mathrm e}^{5}+8\right)^{2}}{64}} \erf \left(4 i x +\frac{i \left(16 \,{\mathrm e}^{5}+8\right)}{8}\right)}{8}-2 i \sqrt{\pi}\, {\mathrm e}^{4 \,{\mathrm e}^{5}+4 \,{\mathrm e}^{10}+6-\frac{\left(16 \,{\mathrm e}^{5}+8\right)^{2}}{64}} \erf \left(4 i x +\frac{i \left(16 \,{\mathrm e}^{5}+8\right)}{8}\right)$&$161$\\ \hline \end{longtable}"," ",0,"-x+exp(16*x*exp(5)+16*x^2+4*exp(5)+4*exp(10)+8*x+1)","A"
2621,1,13,11,0.012000," ","int((x*ln(x)-3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(x \right)-x -3 \ln \left(x \right)$&$13$\\ norman&$x \ln \left(x \right)-x -3 \ln \left(x \right)$&$13$\\ risch&$x \ln \left(x \right)-x -3 \ln \left(x \right)$&$13$\\ \hline \end{longtable}"," ",0,"x*ln(x)-x-3*ln(x)","A"
2622,1,26,23,0.111000," ","int(((4*(x^2-4*x+4)*exp(4)*ln(2)^2+2*(-2*x^3+8*x^2-8*x)*exp(4)*ln(2)+(x^4-4*x^3+4*x^2)*exp(4))*exp(x)+4*x^2*ln(2)^2+2*(-2*x^3-x^2)*ln(2)+x^4)/(4*x^2*ln(2)^2-4*x^3*ln(2)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{\ln \left(2\right)}{\ln \left(2\right)-\frac{x}{2}}+\frac{\left(x -4\right) {\mathrm e}^{4+x}}{x}$&$26$\\ default&$x +{\mathrm e}^{4} {\mathrm e}^{x}+\frac{2 \ln \left(2\right)}{x -2 \ln \left(2\right)}-\frac{4 \,{\mathrm e}^{4} {\mathrm e}^{x}}{x}$&$29$\\ norman&$\frac{\left(4 \ln \left(2\right)^{2}-2 \ln \left(2\right)\right) x +\left(2 \,{\mathrm e}^{4} \ln \left(2\right)+4 \,{\mathrm e}^{4}\right) x \,{\mathrm e}^{x}-x^{3}-x^{2} {\mathrm e}^{4} {\mathrm e}^{x}-8 \,{\mathrm e}^{4} \ln \left(2\right) {\mathrm e}^{x}}{x \left(2 \ln \left(2\right)-x \right)}$&$66$\\ \hline \end{longtable}"," ",0,"x-ln(2)/(ln(2)-1/2*x)+(x-4)/x*exp(4+x)","A"
2623,1,25,21,0.061000," ","int((((-x^2+x)*exp(5+x)*ln(x)^8+134369280*x*exp(5+x)*ln(x)^4+537477120*exp(5+x)*ln(x)^3)*exp(-exp(5+x)*ln(x)^4/(x*ln(x)^4-134369280))+x^2*ln(x)^8-268738560*x*ln(x)^4+18055103407718400)/(x^3*ln(x)^8-268738560*x^2*ln(x)^4+18055103407718400*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+{\mathrm e}^{-\frac{{\mathrm e}^{5+x} \ln \left(x \right)^{4}}{x \ln \left(x \right)^{4}-134369280}}$&$25$\\ \hline \end{longtable}"," ",0,"ln(x)+exp(-exp(5+x)*ln(x)^4/(x*ln(x)^4-134369280))","A"
2624,1,23,28,0.188000," ","int((ln(x)-x^2+1)/(5*ln(x)^2+(20*x*ln(5)+10*x*ln(3)+10*x^2+10*x+20)*ln(x)+20*x^2*ln(5)^2+2*(10*x^2*ln(3)+10*x^3+10*x^2+20*x)*ln(5)+5*x^2*ln(3)^2+(10*x^3+10*x^2+20*x)*ln(3)+5*x^4+10*x^3+25*x^2+20*x+20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{10 x \ln \left(5\right)+5 x \ln \left(3\right)+5 x^{2}+5 \ln \left(x \right)+5 x +10}$&$23$\\ risch&$\frac{x}{10 x \ln \left(5\right)+5 x \ln \left(3\right)+5 x^{2}+5 \ln \left(x \right)+5 x +10}$&$23$\\ \hline \end{longtable}"," ",0,"1/5*x/(2*x*ln(5)+x*ln(3)+x^2+ln(x)+x+2)","A"
2625,1,118,29,0.076000," ","int(((4*x^6+4*x^5-64*x^4-16*x^3+193*x^2-2*x)*exp(x^4+8*x^3+16*x^2)-2*x+2)/((x^2-2*x)*ln(x^2-2*x)^2+(-2*x^3+10*x^2-12*x)*exp(x^4+8*x^3+16*x^2)*ln(x^2-2*x)+(x^4-8*x^3+21*x^2-18*x)*exp(x^4+8*x^3+16*x^2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i}{\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(i \left(x -2\right) x \right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -2\right) x \right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(i \left(x -2\right) x \right)^{2}+\pi  \mathrm{csgn}\left(i \left(x -2\right) x \right)^{3}-2 i x \,{\mathrm e}^{\left(4+x \right)^{2} x^{2}}+6 i {\mathrm e}^{\left(4+x \right)^{2} x^{2}}+2 i \ln \left(x \right)+2 i \ln \left(x -2\right)}$&$118$\\ \hline \end{longtable}"," ",0,"2*I/(Pi*csgn(I*x)*csgn(I*(x-2))*csgn(I*(x-2)*x)-Pi*csgn(I*x)*csgn(I*(x-2)*x)^2-Pi*csgn(I*(x-2))*csgn(I*(x-2)*x)^2+Pi*csgn(I*(x-2)*x)^3-2*I*x*exp((4+x)^2*x^2)+6*I*exp((4+x)^2*x^2)+2*I*ln(x)+2*I*ln(x-2))","C"
2626,0,0,22,0.010000," ","int(((-2*ln(4*x^2)+2*x+134)*ln(-ln(4*x^2)+x+67)^2+(2*x*ln(4*x^2)-2*x^2-134*x)*ln(-ln(4*x^2)+x+67)+2*x^2-4*x)/(x*ln(4*x^2)-x^2-67*x)/ln(-ln(4*x^2)+x+67)^2,x)","\[\int \frac{\left(-2 \ln \left(4 x^{2}\right)+2 x +134\right) \ln \left(-\ln \left(4 x^{2}\right)+x +67\right)^{2}+\left(2 x \ln \left(4 x^{2}\right)-2 x^{2}-134 x \right) \ln \left(-\ln \left(4 x^{2}\right)+x +67\right)+2 x^{2}-4 x}{\left(x \ln \left(4 x^{2}\right)-x^{2}-67 x \right) \ln \left(-\ln \left(4 x^{2}\right)+x +67\right)^{2}}\, dx\]"," ",0,"int(((-2*ln(4*x^2)+2*x+134)*ln(-ln(4*x^2)+x+67)^2+(2*x*ln(4*x^2)-2*x^2-134*x)*ln(-ln(4*x^2)+x+67)+2*x^2-4*x)/(x*ln(4*x^2)-x^2-67*x)/ln(-ln(4*x^2)+x+67)^2,x)","F"
2627,1,24,25,0.176000," ","int(((10*x^2+5)*exp(exp(1)-x^2)+30*exp(4)+30)/(exp(2)*exp(exp(1)-x^2)^2+(12*exp(2)*exp(4)+(2*x+12)*exp(2))*exp(exp(1)-x^2)+36*exp(2)*exp(4)^2+(12*x+72)*exp(2)*exp(4)+(x^2+12*x+36)*exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x \,{\mathrm e}^{-2}}{{\mathrm e}^{{\mathrm e}-x^{2}}+6+x +6 \,{\mathrm e}^{4}}$&$24$\\ norman&$\frac{5 x \,{\mathrm e}^{-2}}{{\mathrm e}^{{\mathrm e}-x^{2}}+6+x +6 \,{\mathrm e}^{4}}$&$26$\\ \hline \end{longtable}"," ",0,"5*x*exp(-2)/(exp(exp(1)-x^2)+6+x+6*exp(4))","A"
2628,1,39,23,0.053000," ","int(((2*x*ln(3)+2*x^2+x)*ln(x)^3+8*x*ln(x)^2+(-8*ln(3)-8*x)*ln(x)-32)*exp(ln(((-ln(3)^2-2*x*ln(3)-x^2-x+5)*ln(x)^2+(-8*ln(3)-8*x)*ln(x)-16)/ln(x)^2)+24)/((x*ln(3)^2+2*x^2*ln(3)+x^3+x^2-5*x)*ln(x)^3+(8*x*ln(3)+8*x^2)*ln(x)^2+16*x*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{24} \left(-2 x \ln \left(3\right)-x^{2}-x -\frac{8 \ln \left(3\right)}{\ln \left(x \right)}-\frac{8 x}{\ln \left(x \right)}-\frac{16}{\ln \left(x \right)^{2}}\right)$&$39$\\ \hline \end{longtable}"," ",0,"exp(24)*(-2*x*ln(3)-x^2-x-8*ln(3)/ln(x)-8*x/ln(x)-16/ln(x)^2)","A"
2629,1,35,21,0.130000," ","int(((12*x^2+8*x)*exp(x)^3+(x^3-27*x^2-16*x)*exp(x)^2+(-2*x^3+20*x^2+6*x)*exp(x)+x^3-4*x^2+2*x)/(4*exp(x)^3-8*exp(x)^2+4*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+x^{2}+\left(\frac{1}{4} x^{2}-\frac{1}{4} x^{3}\right) {\mathrm e}^{-x}-\frac{x^{2}}{4 \left({\mathrm e}^{x}-1\right)}$&$35$\\ norman&$\frac{\left({\mathrm e}^{2 x} x^{2}+{\mathrm e}^{2 x} x^{3}-\frac{x^{2}}{4}+\frac{x^{3}}{4}-{\mathrm e}^{x} x^{2}-\frac{5 \,{\mathrm e}^{x} x^{3}}{4}\right) {\mathrm e}^{-x}}{{\mathrm e}^{x}-1}$&$53$\\ \hline \end{longtable}"," ",0,"x^3+x^2+(1/4*x^2-1/4*x^3)*exp(-x)-1/4*x^2/(exp(x)-1)","A"
2630,1,155,30,2.315000," ","int(((1125*x^3+2250)*(2*ln(2)+I*Pi)^6+(675*x^4+675*x^3+1350*x+450)*(2*ln(2)+I*Pi)^4+(135*x^5+270*x^4+135*x^3+270*x^2+90*x)*(2*ln(2)+I*Pi)^2+9*x^6+27*x^5+27*x^4+27*x^3)/(125*x^3*(2*ln(2)+I*Pi)^6+(75*x^4+75*x^3)*(2*ln(2)+I*Pi)^4+(15*x^5+30*x^4+15*x^3)*(2*ln(2)+I*Pi)^2+x^6+3*x^5+3*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 x +\frac{-\frac{9 x^{2}}{25}-\left(\frac{72 i \pi  \ln \left(2\right)}{5}-\frac{18 \pi^{2}}{5}+\frac{72 \ln \left(2\right)^{2}}{5}\right) x +72 i \pi^{3} \ln \left(2\right)-288 i \pi  \ln \left(2\right)^{3}-9 \pi^{4}+216 \pi^{2} \ln \left(2\right)^{2}-144 \ln \left(2\right)^{4}}{x^{2} \left(-8 i \pi^{3} \ln \left(2\right)+32 i \pi  \ln \left(2\right)^{3}+\pi^{4}-24 \pi^{2} \ln \left(2\right)^{2}+\frac{8 i \pi  \ln \left(2\right) x}{5}+16 \ln \left(2\right)^{4}-\frac{2 x \,\pi^{2}}{5}+\frac{8 i \pi  \ln \left(2\right)}{5}+\frac{8 x \ln \left(2\right)^{2}}{5}-\frac{2 \pi^{2}}{5}+\frac{8 \ln \left(2\right)^{2}}{5}+\frac{x^{2}}{25}+\frac{2 x}{25}+\frac{1}{25}\right)}$&$155$\\ default&$9 x -\frac{9 \left(6000 i \pi^{5} \ln \left(2\right)+96000 i \pi  \ln \left(2\right)^{5}-2240000 i \pi^{3} \ln \left(2\right)^{5}-80000 i \pi^{3} \ln \left(2\right)^{3}+1250 \pi^{8}-140000 \pi^{6} \ln \left(2\right)^{2}+1400000 \pi^{4} \ln \left(2\right)^{4}-2240000 \pi^{2} \ln \left(2\right)^{6}+320000 \ln \left(2\right)^{8}+560000 i \pi^{5} \ln \left(2\right)^{3}-20000 i \pi^{7} \ln \left(2\right)+1280000 i \pi  \ln \left(2\right)^{7}-500 \pi^{6}+30000 \pi^{4} \ln \left(2\right)^{2}-120000 \pi^{2} \ln \left(2\right)^{4}+32000 \ln \left(2\right)^{6}-400 i \pi^{3} \ln \left(2\right)+1600 i \pi  \ln \left(2\right)^{3}+50 \pi^{4}-1200 \pi^{2} \ln \left(2\right)^{2}+800 \ln \left(2\right)^{4}\right)}{2 \left(-20 i \pi  \ln \left(2\right)+5 \pi^{2}-20 \ln \left(2\right)^{2}-1\right)^{4} x^{2}}-\frac{9 \left(-400 i \pi^{3} \ln \left(2\right)+1600 i \pi  \ln \left(2\right)^{3}+50 \pi^{4}-1200 \pi^{2} \ln \left(2\right)^{2}+800 \ln \left(2\right)^{4}+40 i \pi  \ln \left(2\right)-10 \pi^{2}+40 \ln \left(2\right)^{2}\right)}{\left(-20 i \pi  \ln \left(2\right)+5 \pi^{2}-20 \ln \left(2\right)^{2}-1\right)^{4} x}-\frac{9 \left(-400 i \pi^{3} \ln \left(2\right)+1600 i \pi  \ln \left(2\right)^{3}+50 \pi^{4}-1200 \pi^{2} \ln \left(2\right)^{2}+800 \ln \left(2\right)^{4}+80 i \pi  \ln \left(2\right)-20 \pi^{2}+80 \ln \left(2\right)^{2}+2\right)}{2 \left(-20 i \pi  \ln \left(2\right)+5 \pi^{2}-20 \ln \left(2\right)^{2}-1\right)^{4} \left(-5 \pi^{2}+20 i \pi  \ln \left(2\right)+20 \ln \left(2\right)^{2}+x +1\right)^{2}}-\frac{9 \left(400 i \pi^{3} \ln \left(2\right)-1600 i \pi  \ln \left(2\right)^{3}-50 \pi^{4}+1200 \pi^{2} \ln \left(2\right)^{2}-800 \ln \left(2\right)^{4}-40 i \pi  \ln \left(2\right)+10 \pi^{2}-40 \ln \left(2\right)^{2}\right)}{\left(-20 i \pi  \ln \left(2\right)+5 \pi^{2}-20 \ln \left(2\right)^{2}-1\right)^{4} \left(-5 \pi^{2}+20 i \pi  \ln \left(2\right)+20 \ln \left(2\right)^{2}+x +1\right)}$&$476$\\ norman&$\frac{\left(-2250 \pi^{4}+25200 \pi^{2} \ln \left(2\right)^{2}-36000 \ln \left(2\right)^{4}+900 \pi^{2}-3600 \ln \left(2\right)^{2}-90\right) x^{5}+\left(4500 \pi^{6}+18000 \pi^{4} \ln \left(2\right)^{2}-72000 \pi^{2} \ln \left(2\right)^{4}-288000 \ln \left(2\right)^{6}+3600 i \pi^{3} \ln \left(2\right)-14400 i \pi  \ln \left(2\right)^{3}-1350 \pi^{4}+3600 \pi^{2} \ln \left(2\right)^{2}-21600 \ln \left(2\right)^{4}-360 i \pi  \ln \left(2\right)+90 \pi^{2}-360 \ln \left(2\right)^{2}\right) x +\left(22500 \pi^{6}-198000 \pi^{4} \ln \left(2\right)^{2}+792000 \pi^{2} \ln \left(2\right)^{4}-1440000 \ln \left(2\right)^{6}-13500 \pi^{4}+93600 \pi^{2} \ln \left(2\right)^{2}-216000 \ln \left(2\right)^{4}+2700 \pi^{2}-10800 \ln \left(2\right)^{2}-189\right) x^{4}+\left(-84375 \pi^{8}+90000 \pi^{6} \ln \left(2\right)^{2}+3420000 \pi^{4} \ln \left(2\right)^{4}+1440000 \pi^{2} \ln \left(2\right)^{6}-21600000 \ln \left(2\right)^{8}+67500 \pi^{6}-306000 \pi^{4} \ln \left(2\right)^{2}+1224000 \pi^{2} \ln \left(2\right)^{4}-4320000 \ln \left(2\right)^{6}-20250 \pi^{4}+111600 \pi^{2} \ln \left(2\right)^{2}-324000 \ln \left(2\right)^{4}+2880 \pi^{2}-11520 \ln \left(2\right)^{2}-153\right) x^{3}+\left(112500 \pi^{10}+1350000 \pi^{8} \ln \left(2\right)^{2}+3600000 \pi^{6} \ln \left(2\right)^{4}-14400000 \pi^{4} \ln \left(2\right)^{6}-86400000 \pi^{2} \ln \left(2\right)^{8}-115200000 \ln \left(2\right)^{10}-112500 \pi^{8}-360000 \pi^{6} \ln \left(2\right)^{2}+720000 \pi^{4} \ln \left(2\right)^{4}-5760000 \pi^{2} \ln \left(2\right)^{6}-28800000 \ln \left(2\right)^{8}+45000 \pi^{6}-108000 \pi^{4} \ln \left(2\right)^{2}+432000 \pi^{2} \ln \left(2\right)^{4}-2880000 \ln \left(2\right)^{6}-10350 \pi^{4}+46800 \pi^{2} \ln \left(2\right)^{2}-165600 \ln \left(2\right)^{4}-360 i \pi  \ln \left(2\right)+1170 \pi^{2}-4680 \ln \left(2\right)^{2}-45\right) x^{2}+9 x^{7}-5625 \pi^{8}-90000 \pi^{6} \ln \left(2\right)^{2}-540000 \pi^{4} \ln \left(2\right)^{4}-1440000 \pi^{2} \ln \left(2\right)^{6}-1440000 \ln \left(2\right)^{8}-9000 i \pi^{5} \ln \left(2\right)-144000 i \pi  \ln \left(2\right)^{5}-72000 i \pi^{3} \ln \left(2\right)^{3}+2250 \pi^{6}+9000 \pi^{4} \ln \left(2\right)^{2}-36000 \pi^{2} \ln \left(2\right)^{4}-144000 \ln \left(2\right)^{6}+1800 i \pi^{3} \ln \left(2\right)-7200 i \pi  \ln \left(2\right)^{3}-225 \pi^{4}+5400 \pi^{2} \ln \left(2\right)^{2}-3600 \ln \left(2\right)^{4}}{x^{2} \left(25 \pi^{4}+200 \pi^{2} \ln \left(2\right)^{2}+400 \ln \left(2\right)^{4}-10 x \,\pi^{2}+40 x \ln \left(2\right)^{2}-10 \pi^{2}+40 \ln \left(2\right)^{2}+x^{2}+2 x +1\right)^{2}}$&$643$\\ \hline \end{longtable}"," ",0,"9*x+(-9/25*x^2-(72/5*I*Pi*ln(2)-18/5*Pi^2+72/5*ln(2)^2)*x+72*I*Pi^3*ln(2)-288*I*Pi*ln(2)^3-9*Pi^4+216*Pi^2*ln(2)^2-144*ln(2)^4)/x^2/(-8*I*Pi^3*ln(2)+32*I*Pi*ln(2)^3+Pi^4-24*Pi^2*ln(2)^2+8/5*I*Pi*ln(2)*x+16*ln(2)^4-2/5*x*Pi^2+8/5*I*Pi*ln(2)+8/5*x*ln(2)^2-2/5*Pi^2+8/5*ln(2)^2+1/25*x^2+2/25*x+1/25)","B"
2631,1,34,23,0.148000," ","int((((-x^2-12*x+48)*ln(2)-20*x)*ln(1/4*((-x^2-12*x+48)*ln(2)-20*x)/x/ln(2))+(-3*x^2-48*x+240)*ln(2)-80*x)/((x^4+12*x^3-48*x^2)*ln(2)+20*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4+\ln \left(\frac{\left(-x^{2}-12 x +48\right) \ln \left(2\right)-20 x}{4 x \ln \left(2\right)}\right)}{x}$&$34$\\ risch&$\frac{\ln \left(\frac{\left(-x^{2}-12 x +48\right) \ln \left(2\right)-20 x}{4 x \ln \left(2\right)}\right)}{x}+\frac{4}{x}$&$38$\\ default&$-\frac{\ln \left(\ln \left(2\right)\right)}{x}-\frac{2 \ln \left(2\right)}{x}+\frac{4}{x}+\frac{\ln \left(\frac{-x^{2} \ln \left(2\right)-12 x \ln \left(2\right)+48 \ln \left(2\right)-20 x}{x}\right)}{x}$&$51$\\ \hline \end{longtable}"," ",0,"(4+ln(1/4*((-x^2-12*x+48)*ln(2)-20*x)/x/ln(2)))/x","A"
2632,1,15,17,0.019000," ","int(-1/4*exp(x)+exp(3)+2*x+1/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\left({\mathrm e}^{3}+\frac{1}{2}\right) x -\frac{{\mathrm e}^{x}}{4}$&$15$\\ default&$x^{2}+\frac{x}{2}-\frac{{\mathrm e}^{x}}{4}+x \,{\mathrm e}^{3}$&$16$\\ risch&$x^{2}+\frac{x}{2}-\frac{{\mathrm e}^{x}}{4}+x \,{\mathrm e}^{3}$&$16$\\ \hline \end{longtable}"," ",0,"x^2+(exp(3)+1/2)*x-1/4*exp(x)","A"
2633,1,104,28,0.232000," ","int(((2*x^3+115*x^2+1595*x-841)*exp(exp(4)-2)^4+(40*x^2+1130*x-580)*exp(exp(4)-2)^3+(4*x^2+313*x-158)*exp(exp(4)-2)^2+(40*x-20)*exp(exp(4)-2)+2*x-1)/((x^3+58*x^2+841*x)*exp(exp(4)-2)^4+(20*x^2+580*x)*exp(exp(4)-2)^3+(2*x^2+158*x)*exp(exp(4)-2)^2+20*x*exp(exp(4)-2)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \,{\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e}^{-4} x^{2}-{\mathrm e}^{-2 \,{\mathrm e}^{4}} {\mathrm e}^{4} \left(1653 \,{\mathrm e}^{4 \,{\mathrm e}^{4}} {\mathrm e}^{-8}+1150 \,{\mathrm e}^{3 \,{\mathrm e}^{4}} {\mathrm e}^{-6}+315 \,{\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e}^{-4}+40 \,{\mathrm e}^{{\mathrm e}^{4}} {\mathrm e}^{-2}+2\right)}{{\mathrm e}^{2 \,{\mathrm e}^{4}-4} x +29 \,{\mathrm e}^{2 \,{\mathrm e}^{4}-4}+10 \,{\mathrm e}^{{\mathrm e}^{4}-2}+1}-\ln \left(x \right)$&$104$\\ risch&$2 x +\frac{29 \,{\mathrm e}^{2 \,{\mathrm e}^{4}-4}}{{\mathrm e}^{2 \,{\mathrm e}^{4}-4} x +29 \,{\mathrm e}^{2 \,{\mathrm e}^{4}-4}+10 \,{\mathrm e}^{{\mathrm e}^{4}-2}+1}+\frac{10 \,{\mathrm e}^{{\mathrm e}^{4}-2}}{{\mathrm e}^{2 \,{\mathrm e}^{4}-4} x +29 \,{\mathrm e}^{2 \,{\mathrm e}^{4}-4}+10 \,{\mathrm e}^{{\mathrm e}^{4}-2}+1}+\frac{1}{{\mathrm e}^{2 \,{\mathrm e}^{4}-4} x +29 \,{\mathrm e}^{2 \,{\mathrm e}^{4}-4}+10 \,{\mathrm e}^{{\mathrm e}^{4}-2}+1}-\ln \left(x \right)$&$112$\\ \hline \end{longtable}"," ",0,"(2*exp(exp(4))^2*exp(-2)^2*x^2-1/exp(exp(4))^2/exp(-2)^2*(1653*exp(exp(4))^4*exp(-2)^4+1150*exp(exp(4))^3*exp(-2)^3+315*exp(exp(4))^2*exp(-2)^2+40*exp(exp(4))*exp(-2)+2))/(exp(exp(4)-2)^2*x+29*exp(exp(4)-2)^2+10*exp(exp(4)-2)+1)-ln(x)","B"
2634,1,27,24,0.062000," ","int((((-9*x^4+63*x^2-90)*exp(x)-54*x)*exp(exp(x))+9*x^2+108*x+18)/(x^4-4*x^2+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-9 x -9 \,{\mathrm e}^{{\mathrm e}^{x}} x^{2}+45 \,{\mathrm e}^{{\mathrm e}^{x}}-54}{x^{2}-2}$&$27$\\ risch&$\frac{-9 x -54}{x^{2}-2}-\frac{9 \left(x^{2}-5\right) {\mathrm e}^{{\mathrm e}^{x}}}{x^{2}-2}$&$32$\\ \hline \end{longtable}"," ",0,"(-9*x-9*exp(exp(x))*x^2+45*exp(exp(x))-54)/(x^2-2)","A"
2635,1,12,10,0.023000," ","int((-x-1)*exp(x-1/2)+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$3 x -{\mathrm e}^{x -\frac{1}{2}} x$&$12$\\ risch&$3 x -{\mathrm e}^{x -\frac{1}{2}} x$&$12$\\ default&$3 x -{\mathrm e}^{x -\frac{1}{2}} \left(x -\frac{1}{2}\right)-\frac{{\mathrm e}^{x -\frac{1}{2}}}{2}$&$20$\\ derivativedivides&$3 x -\frac{3}{2}-{\mathrm e}^{x -\frac{1}{2}} \left(x -\frac{1}{2}\right)-\frac{{\mathrm e}^{x -\frac{1}{2}}}{2}$&$21$\\ \hline \end{longtable}"," ",0,"3*x-exp(x-1/2)*x","A"
2636,1,24,18,0.458000," ","int(exp(exp(2)^2-exp(1))^2/((x-2)*exp(exp(2)^2-exp(1))^2-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{2 \,{\mathrm e}^{4}} x -2 \,{\mathrm e}^{2 \,{\mathrm e}^{4}}-{\mathrm e}^{2 \,{\mathrm e}}\right)$&$24$\\ default&$\ln \left({\mathrm e}^{2 \,{\mathrm e}^{4}-2 \,{\mathrm e}} x -2 \,{\mathrm e}^{2 \,{\mathrm e}^{4}-2 \,{\mathrm e}}-1\right)$&$32$\\ norman&$\ln \left({\mathrm e}^{2 \,{\mathrm e}^{4}-2 \,{\mathrm e}} x -2 \,{\mathrm e}^{2 \,{\mathrm e}^{4}-2 \,{\mathrm e}}-1\right)$&$32$\\ meijerg&$-\frac{\left(1+2 \,{\mathrm e}^{2 \,{\mathrm e}^{4}-2 \,{\mathrm e}}\right) \ln \left(1+\frac{x \,{\mathrm e}^{2 \,{\mathrm e}^{4}-2 \,{\mathrm e}}}{-2 \,{\mathrm e}^{2 \,{\mathrm e}^{4}-2 \,{\mathrm e}}-1}\right)}{-2 \,{\mathrm e}^{2 \,{\mathrm e}^{4}-2 \,{\mathrm e}}-1}$&$64$\\ \hline \end{longtable}"," ",0,"ln(exp(2*exp(4))*x-2*exp(2*exp(4))-exp(2*exp(1)))","A"
2637,1,33,29,0.069000," ","int(((32*x^8+64*x^7-32*x^5+16*x^4+8*x^3+4*x-2)*exp(x^4)^2*ln(x)^2+((-64*x^8-128*x^7+64*x^5-32*x^4-16*x^3-8*x+4)*ln(2)+8*x^4+16*x^3-8*x+2)*exp(x^4)^2*ln(x)+((32*x^8+64*x^7-32*x^5+16*x^4+8*x^3+4*x-2)*ln(2)^2+(-8*x^4-16*x^3+8*x-2)*ln(2))*exp(x^4)^2)*exp(((4*x^4+8*x^3-4*x+1)*exp(x^4)^2*ln(x)^2+(-8*x^4-16*x^3+8*x-2)*ln(2)*exp(x^4)^2*ln(x)+(4*x^4+8*x^3-4*x+1)*ln(2)^2*exp(x^4)^2)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{2 x^{4}} \left(2 x^{2}+2 x -1\right)^{2} \left(-\ln \left(x \right)+\ln \left(2\right)\right)^{2}}{x^{2}}}$&$33$\\ \hline \end{longtable}"," ",0,"exp(exp(2*x^4)*(2*x^2+2*x-1)^2*(-ln(x)+ln(2))^2/x^2)","A"
2638,1,15,16,0.041000," ","int(1/4*(exp(3)*exp(1/4*(exp(3)-3*x)/x)+4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x -{\mathrm e}^{-\frac{3}{4}+\frac{{\mathrm e}^{3}}{4 x}}$&$15$\\ default&$x -{\mathrm e}^{-\frac{3}{4}+\frac{{\mathrm e}^{3}}{4 x}}$&$15$\\ risch&$x -{\mathrm e}^{\frac{{\mathrm e}^{3}-3 x}{4 x}}$&$17$\\ norman&$\frac{x^{2}-x \,{\mathrm e}^{\frac{{\mathrm e}^{3}-3 x}{4 x}}}{x}$&$24$\\ \hline \end{longtable}"," ",0,"x-exp(-3/4+1/4*exp(3)/x)","A"
2639,1,27,25,0.124000," ","int((8*x^2*ln(x)^2+(-16*x^2*exp(4)*ln(2)-24*x^3*exp(4))*ln(x)+8*x^2*exp(4)^2*ln(2)^2+24*x^3*exp(4)^2*ln(2)+(18*x^4-15*x)*exp(4)^2+10*exp(4))/(4*x*ln(x)^2+(-8*x*exp(4)*ln(2)-12*x^2*exp(4))*ln(x)+4*x*exp(4)^2*ln(2)^2+12*x^2*exp(4)^2*ln(2)+9*x^3*exp(4)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{5 \,{\mathrm e}^{4}}{2 \,{\mathrm e}^{4} \ln \left(2\right)+3 x \,{\mathrm e}^{4}-2 \ln \left(x \right)}$&$27$\\ norman&$\frac{-2 x^{2} \ln \left(x \right)+3 x^{3} {\mathrm e}^{4}+2 x^{2} {\mathrm e}^{4} \ln \left(2\right)+5 \,{\mathrm e}^{4}}{2 \,{\mathrm e}^{4} \ln \left(2\right)+3 x \,{\mathrm e}^{4}-2 \ln \left(x \right)}$&$48$\\ \hline \end{longtable}"," ",0,"x^2+5*exp(4)/(2*exp(4)*ln(2)+3*x*exp(4)-2*ln(x))","A"
2640,1,10,19,0.424000," ","int(12*exp(4)/(13*x^2-26*x+13),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{12 \,{\mathrm e}^{4}}{13 \left(x -1\right)}$&$10$\\ default&$-\frac{12 \,{\mathrm e}^{4}}{13 \left(x -1\right)}$&$10$\\ norman&$-\frac{12 \,{\mathrm e}^{4}}{13 \left(x -1\right)}$&$10$\\ risch&$-\frac{12 \,{\mathrm e}^{4}}{13 \left(x -1\right)}$&$10$\\ meijerg&$\frac{12 \,{\mathrm e}^{4} x}{13 \left(1-x \right)}$&$13$\\ \hline \end{longtable}"," ",0,"-12/13*exp(4)/(x-1)","A"
2641,1,28,21,0.065000," ","int(((-2*x^4+x^2)*exp(-x^2+25)+10*exp(3))/(x^3*exp(-x^2+25)-10*x*exp(3)+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)+\ln \left(-x^{2} {\mathrm e}^{-x^{2}+25}+10 \,{\mathrm e}^{3}-5 x \right)$&$28$\\ risch&$\ln \left(x \right)-25+\ln \left({\mathrm e}^{-\left(x -5\right) \left(5+x \right)}-\frac{5 \left(2 \,{\mathrm e}^{3}-x \right)}{x^{2}}\right)$&$29$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(-x^2*exp(-x^2+25)+10*exp(3)-5*x)","A"
2642,1,6,5,0.007000," ","int(-1/3*ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x \ln \left(3\right)}{3}$&$6$\\ norman&$-\frac{x \ln \left(3\right)}{3}$&$6$\\ risch&$-\frac{x \ln \left(3\right)}{3}$&$6$\\ \hline \end{longtable}"," ",0,"-1/3*x*ln(3)","A"
2643,1,35,27,0.421000," ","int((((8*x+32)*exp(4*x)^2*ln(exp(5)-1)-1)*exp(exp(4*x)^2*ln(exp(5)-1))+(3+x)*exp(x)-x^2-8*x-20)/(x^2+8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{4}{4+x}+\frac{{\mathrm e}^{x}}{4+x}+\frac{\left({\mathrm e}^{5}-1\right)^{{\mathrm e}^{8 x}}}{4+x}$&$35$\\ \hline \end{longtable}"," ",0,"-x+4/(4+x)+exp(x)/(4+x)+1/(4+x)*(exp(5)-1)^exp(8*x)","A"
2644,1,34,22,0.061000," ","int(((-40*x^3-40*x^2)*ln(10/x)^2+(40*x^3+80*x^2)*ln(10/x)+64)/((25*x^6+100*x^5+100*x^4)*ln(10/x)^4+(160*x^3+320*x^2)*ln(10/x)^2+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x}{5 \ln \left(\frac{10}{x}\right)^{2} x^{3}+10 x^{2} \ln \left(\frac{10}{x}\right)^{2}+16}$&$34$\\ \hline \end{longtable}"," ",0,"4*x/(5*ln(10/x)^2*x^3+10*x^2*ln(10/x)^2+16)","A"
2645,1,20,18,0.133000," ","int(((-18*exp(x)-27*x)*ln(5*exp(x)*x^4+15/2*x^5)+(18*x+72)*exp(x)+135*x)/(2*exp(x)*x^2+3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{9 \ln \left(5 \,{\mathrm e}^{x} x^{4}+\frac{15 x^{5}}{2}\right)}{x}$&$20$\\ risch&$\frac{9 \ln \left(\frac{2 \,{\mathrm e}^{x}}{3}+x \right)}{x}-\frac{9 \left(i \pi  \mathrm{csgn}\left(i x^{4} \left(\frac{2 \,{\mathrm e}^{x}}{3}+x \right)\right)^{3}-i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \mathrm{csgn}\left(i x^{4} \left(\frac{2 \,{\mathrm e}^{x}}{3}+x \right)\right)^{2}+i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(\frac{2 \,{\mathrm e}^{x}}{3}+x \right)\right) \mathrm{csgn}\left(i x^{4} \left(\frac{2 \,{\mathrm e}^{x}}{3}+x \right)\right)^{2}-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{4}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \mathrm{csgn}\left(i \left(\frac{2 \,{\mathrm e}^{x}}{3}+x \right)\right) \mathrm{csgn}\left(i x^{4} \left(\frac{2 \,{\mathrm e}^{x}}{3}+x \right)\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+2 \ln \left(2\right)-2 \ln \left(5\right)-8 \ln \left(x \right)\right)}{2 x}$&$337$\\ \hline \end{longtable}"," ",0,"9*ln(5*exp(x)*x^4+15/2*x^5)/x","A"
2646,1,23,23,0.224000," ","int((((-x^2-2*x+3)*exp(x)+18+6*x)*ln(3/5+1/5*x)+(-x^3-x^2+7*x)*exp(x)+5*x^3+32*x^2+42*x)/((x^3+3*x^2)*ln(3/5+1/5*x)^2+(2*x^4+6*x^3)*ln(3/5+1/5*x)+x^5+3*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 x +{\mathrm e}^{x}+6}{x \left(\ln \left(\frac{3}{5}+\frac{x}{5}\right)+x \right)}$&$23$\\ \hline \end{longtable}"," ",0,"-(5*x+exp(x)+6)/x/(ln(3/5+1/5*x)+x)","A"
2647,1,93,26,0.042000," ","int(1/4*(800*x*ln(2)^2+2*(1200*x^2-4000*x)*ln(2)+1600*x^3-12000*x^2+20000*x)*ln(5)^4+1/4*(600*x^2*ln(2)^2+2*(800*x^3-3000*x^2)*ln(2)+1000*x^4-8000*x^3+15000*x^2)*ln(5)^2+25*x^3*ln(2)^2+1/2*(125*x^4-500*x^3)*ln(2)+75/2*x^5-625/2*x^4+625*x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{25 \left(4 \ln \left(5\right)^{2}+x \right) \left(4 \ln \left(2\right)^{2} \ln \left(5\right)^{2}+8 x \ln \left(2\right) \ln \left(5\right)^{2}+4 x^{2} \ln \left(5\right)^{2}-40 \ln \left(2\right) \ln \left(5\right)^{2}-40 x \ln \left(5\right)^{2}+x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+x^{3}+100 \ln \left(5\right)^{2}-10 x \ln \left(2\right)-10 x^{2}+25 x \right) x^{2}}{4}$&$93$\\ norman&$\left(50 \ln \left(5\right)^{2}+\frac{25 \ln \left(2\right)}{2}-\frac{125}{2}\right) x^{5}+\left(100 \ln \left(5\right)^{4} \ln \left(2\right)^{2}-1000 \ln \left(5\right)^{4} \ln \left(2\right)+2500 \ln \left(5\right)^{4}\right) x^{2}+\left(200 \ln \left(5\right)^{4} \ln \left(2\right)-1000 \ln \left(5\right)^{4}+50 \ln \left(2\right)^{2} \ln \left(5\right)^{2}-500 \ln \left(2\right) \ln \left(5\right)^{2}+1250 \ln \left(5\right)^{2}\right) x^{3}+\left(100 \ln \left(5\right)^{4}+100 \ln \left(2\right) \ln \left(5\right)^{2}-500 \ln \left(5\right)^{2}+\frac{25 \ln \left(2\right)^{2}}{4}-\frac{125 \ln \left(2\right)}{2}+\frac{625}{4}\right) x^{4}+\frac{25 x^{6}}{4}$&$131$\\ default&$\frac{\ln \left(5\right)^{4} \left(400 x^{2} \ln \left(2\right)^{2}+2 \ln \left(2\right) \left(400 x^{3}-2000 x^{2}\right)+400 x^{4}-4000 x^{3}+10000 x^{2}\right)}{4}+\frac{\ln \left(5\right)^{2} \left(200 x^{3} \ln \left(2\right)^{2}+2 \ln \left(2\right) \left(200 x^{4}-1000 x^{3}\right)+200 x^{5}-2000 x^{4}+5000 x^{3}\right)}{4}+\frac{25 x^{4} \ln \left(2\right)^{2}}{4}+\frac{\ln \left(2\right) \left(25 x^{5}-125 x^{4}\right)}{2}+\frac{25 x^{6}}{4}-\frac{125 x^{5}}{2}+\frac{625 x^{4}}{4}$&$133$\\ risch&$100 x^{4} \ln \left(5\right)^{4}+200 \ln \left(5\right)^{4} x^{3} \ln \left(2\right)-1000 x^{3} \ln \left(5\right)^{4}+100 \ln \left(5\right)^{4} \ln \left(2\right)^{2} x^{2}-1000 \ln \left(5\right)^{4} \ln \left(2\right) x^{2}+2500 \ln \left(5\right)^{4} x^{2}+50 x^{5} \ln \left(5\right)^{2}+100 \ln \left(5\right)^{2} x^{4} \ln \left(2\right)-500 x^{4} \ln \left(5\right)^{2}+50 \ln \left(5\right)^{2} \ln \left(2\right)^{2} x^{3}-500 \ln \left(5\right)^{2} \ln \left(2\right) x^{3}+1250 x^{3} \ln \left(5\right)^{2}+\frac{25 x^{4} \ln \left(2\right)^{2}}{4}+\frac{25 x^{5} \ln \left(2\right)}{2}-\frac{125 x^{4} \ln \left(2\right)}{2}+\frac{25 x^{6}}{4}-\frac{125 x^{5}}{2}+\frac{625 x^{4}}{4}$&$164$\\ \hline \end{longtable}"," ",0,"25/4*(4*ln(5)^2+x)*(4*ln(2)^2*ln(5)^2+8*x*ln(2)*ln(5)^2+4*x^2*ln(5)^2-40*ln(2)*ln(5)^2-40*x*ln(5)^2+x*ln(2)^2+2*x^2*ln(2)+x^3+100*ln(5)^2-10*x*ln(2)-10*x^2+25*x)*x^2","B"
2648,1,19,18,0.069000," ","int(1/2*(2*(-2*x-1)*ln(2)+1)*exp(1/2*((1-2*ln(2))*ln(x)+2*(-2*x-29)*ln(2))/ln(2))/x/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{\frac{1}{2 \ln \left(2\right)}} {\mathrm e}^{-2 x -29}}{x}$&$19$\\ norman&${\mathrm e}^{\frac{\left(1-2 \ln \left(2\right)\right) \ln \left(x \right)+2 \left(-2 x -29\right) \ln \left(2\right)}{2 \ln \left(2\right)}}$&$27$\\ gosper&${\mathrm e}^{-\frac{2 \ln \left(2\right) \ln \left(x \right)+4 x \ln \left(2\right)-\ln \left(x \right)+58 \ln \left(2\right)}{2 \ln \left(2\right)}}$&$28$\\ \hline \end{longtable}"," ",0,"x^(1/2/ln(2))/x*exp(-2*x-29)","A"
2649,1,51,27,0.107000," ","int(1/25*((-25*exp(x)-25)*exp(exp(x)+x)*ln(5*exp(x-3))^3+(8*x^7-56*x^6+144*x^5-160*x^4+64*x^3)*ln(5*exp(x-3))-2*x^8+16*x^7-48*x^6+64*x^5-32*x^4)/ln(5*exp(x-3))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{{\mathrm e}^{x}+x}-\frac{4 \left(x^{8}-8 x^{7}+24 x^{6}-32 x^{5}+16 x^{4}\right)}{25 \left(2 i \ln \left(5\right)+2 i \ln \left({\mathrm e}^{x}\right)-6 i\right)^{2}}$&$51$\\ default&$\frac{42 x}{25}+\frac{x^{6}}{25}-\frac{2 x^{5}}{25}+\frac{3 x^{4}}{25}+\frac{4 x^{3}}{25}+\frac{13 x^{2}}{25}-{\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{x}}+\frac{108 \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{6}}{25 \ln \left(5 \,{\mathrm e}^{x -3}\right)^{2}}-\frac{16 \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{5}}{\ln \left(5 \,{\mathrm e}^{x -3}\right)^{2}}+\frac{886 \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{4}}{25 \ln \left(5 \,{\mathrm e}^{x -3}\right)^{2}}-\frac{48 \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{3}}{\ln \left(5 \,{\mathrm e}^{x -3}\right)^{2}}+\frac{972 \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{2}}{25 \ln \left(5 \,{\mathrm e}^{x -3}\right)^{2}}-\frac{432 \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)}{25 \ln \left(5 \,{\mathrm e}^{x -3}\right)^{2}}+\frac{\left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{8}}{25 \ln \left(5 \,{\mathrm e}^{x -3}\right)^{2}}-\frac{16 \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{7}}{25 \ln \left(5 \,{\mathrm e}^{x -3}\right)^{2}}-\frac{1944 \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)}{25 \ln \left(5 \,{\mathrm e}^{x -3}\right)}-\frac{8 \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{7}}{25 \ln \left(5 \,{\mathrm e}^{x -3}\right)}+\frac{112 \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{6}}{25 \ln \left(5 \,{\mathrm e}^{x -3}\right)}-\frac{648 \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{5}}{25 \ln \left(5 \,{\mathrm e}^{x -3}\right)}+\frac{80 \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{4}}{\ln \left(5 \,{\mathrm e}^{x -3}\right)}-\frac{3544 \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{3}}{25 \ln \left(5 \,{\mathrm e}^{x -3}\right)}-\frac{2 x^{5} \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)}{25}+2 x \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{4}-\frac{156 x \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{3}}{25}+\frac{228 x \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{2}}{25}-\frac{158 x \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)}{25}-\frac{4 x^{3} \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{3}}{25}+\frac{x^{2} \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{4}}{5}-\frac{28 x^{2} \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{3}}{25}+\frac{54 x^{2} \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{2}}{25}-\frac{44 x^{2} \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)}{25}-\frac{2 x^{4} \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)}{25}+\frac{3 x^{4} \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{2}}{25}+\frac{144 \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{2}}{\ln \left(5 \,{\mathrm e}^{x -3}\right)}+\frac{12 x^{3} \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{2}}{25}-\frac{12 x^{3} \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)}{25}-\frac{6 x \left(\ln \left(5 \,{\mathrm e}^{x -3}\right)-x +3\right)^{5}}{25}+\frac{432}{25 \ln \left(5 \,{\mathrm e}^{x -3}\right)}+\frac{81}{25 \ln \left(5 \,{\mathrm e}^{x -3}\right)^{2}}$&$695$\\ \hline \end{longtable}"," ",0,"-exp(exp(x)+x)-4/25*(x^8-8*x^7+24*x^6-32*x^5+16*x^4)/(2*I*ln(5)+2*I*ln(exp(x))-6*I)^2","C"
2650,1,23,27,0.025000," ","int(1/3*(6*x^2*ln(x)*exp(x*ln(x)-x)-2*x^2-x-75)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x}{3}-\frac{\ln \left(x \right)}{3}+\frac{25}{x}+2 x^{x} {\mathrm e}^{-x}$&$23$\\ default&$-\frac{2 x}{3}-\frac{\ln \left(x \right)}{3}+\frac{25}{x}+2 \,{\mathrm e}^{x \ln \left(x \right)-x}$&$25$\\ norman&$\frac{25-\frac{x \ln \left(x \right)}{3}-\frac{2 x^{2}}{3}+2 x \,{\mathrm e}^{x \ln \left(x \right)-x}}{x}$&$29$\\ \hline \end{longtable}"," ",0,"-2/3*x-1/3*ln(x)+25/x+2*x^x*exp(-x)","A"
2651,1,26,22,0.051000," ","int(1/15*((2*x^3-5*x+10)*exp(x)+60*x^4+45*x^3+75*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x^{2}+3 x -\frac{5}{x}-\frac{{\mathrm e}^{x}}{3 x^{2}}+\frac{2 \,{\mathrm e}^{x}}{15}$&$26$\\ risch&$2 x^{2}+3 x -\frac{5}{x}+\frac{\left(2 x^{2}-5\right) {\mathrm e}^{x}}{15 x^{2}}$&$29$\\ norman&$\frac{-5 x +3 x^{3}+2 x^{4}+\frac{2 \,{\mathrm e}^{x} x^{2}}{15}-\frac{{\mathrm e}^{x}}{3}}{x^{2}}$&$30$\\ \hline \end{longtable}"," ",0,"2*x^2+3*x-5/x-1/3*exp(x)/x^2+2/15*exp(x)","A"
2652,1,24,20,0.085000," ","int(((x^4+3*x^3+3*x^2+x)*exp(x-4)-x^4-2*x^3+2*x^2+2*x+1)/(x^4+3*x^3+3*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{x -4}+\ln \left(x \right)+\frac{1}{\left(x +1\right)^{2}}-\frac{2}{x +1}-x +4$&$24$\\ default&${\mathrm e}^{x -4}+\ln \left(x \right)+\frac{1}{\left(x +1\right)^{2}}-\frac{2}{x +1}-x +4$&$24$\\ risch&$-x +\frac{-2 x -1}{x^{2}+2 x +1}+\ln \left(x \right)+{\mathrm e}^{x -4}$&$27$\\ norman&$\frac{x^{2} {\mathrm e}^{x -4}+x -x^{3}+2 x \,{\mathrm e}^{x -4}+1+{\mathrm e}^{x -4}}{\left(x +1\right)^{2}}+\ln \left(x \right)$&$37$\\ \hline \end{longtable}"," ",0,"exp(x-4)+ln(x)+1/(x+1)^2-2/(x+1)-x+4","A"
2653,1,23,26,0.078000," ","int(((4*x^5-16*x^4+32*x^3-32*x^2+16*x)*exp(x)+3*x^4-15*x^3+24*x^2-18*x+12)/(x^5-4*x^4+8*x^3-8*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x}{x^{2}-2 x +2}+3 \ln \left(x \right)+4 \,{\mathrm e}^{x}$&$23$\\ norman&$\frac{3 x -8 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{x} x^{2}+8 \,{\mathrm e}^{x}}{x^{2}-2 x +2}+3 \ln \left(x \right)$&$37$\\ default&$3 \ln \left(x \right)-\frac{9 \left(2 x -2\right)}{2 \left(x^{2}-2 x +2\right)}+\frac{12 x -24}{x^{2}-2 x +2}+\frac{15}{x^{2}-2 x +2}+4 \,{\mathrm e}^{x}-\frac{16 \,{\mathrm e}^{x} \left(x -2\right)}{x^{2}-2 x +2}-\frac{32 \,{\mathrm e}^{x}}{x^{2}-2 x +2}+\frac{16 \,{\mathrm e}^{x} x}{x^{2}-2 x +2}$&$102$\\ \hline \end{longtable}"," ",0,"3*x/(x^2-2*x+2)+3*ln(x)+4*exp(x)","A"
2654,1,22,16,0.065000," ","int(((-2*x-1)*exp(2*x)-2*x)*exp((-x*exp(5/2)*exp(2*x)-x^2*exp(5/2)+1)/exp(5/2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\left(x^{2} {\mathrm e}^{\frac{5}{2}}+x \,{\mathrm e}^{\frac{5}{2}+2 x}-1\right) {\mathrm e}^{-\frac{5}{2}}}$&$22$\\ norman&${\mathrm e}^{\left(-x \,{\mathrm e}^{\frac{5}{2}} {\mathrm e}^{2 x}-x^{2} {\mathrm e}^{\frac{5}{2}}+1\right) {\mathrm e}^{-\frac{5}{2}}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(-(x^2*exp(5/2)+x*exp(5/2+2*x)-1)*exp(-5/2))","A"
2655,1,48,26,0.401000," ","int((((-4*x^2-x)*ln(x)^2+(-8*x^2-2*x)*ln(x)+8*x^2+2*x)*ln(4*x+1)+(12*x^4+11*x^3-2*x^2)*ln(x)^2+(24*x^4+22*x^3-4*x^2)*ln(x)-8*x^4-10*x^3-2*x^2-8*x-2)/(4*x^2+x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \left(\ln \left(x \right)+2\right) \ln \left(4 x +1\right)}{\ln \left(x \right)}+\frac{x^{3} \ln \left(x \right)+2 x^{3}+x^{2} \ln \left(x \right)+2 x^{2}+2}{\ln \left(x \right)}$&$48$\\ \hline \end{longtable}"," ",0,"-x*(ln(x)+2)/ln(x)*ln(4*x+1)+(x^3*ln(x)+2*x^3+x^2*ln(x)+2*x^2+2)/ln(x)","A"
2656,1,31,25,0.437000," ","int((((x^3-3*x^2+4)*exp(x)+2*x^3-8*x^2+8*x)*ln(x)^2+((2*x^2-8*x+8)*exp(x)+2*x^3-8*x^2+8*x)*ln(x)+(-x^2+4*x-4)*exp(x-5)+2)/(x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \,{\mathrm e}^{x} \ln \left(x \right)^{2}-\frac{2}{x -2}+x^{2} \ln \left(x \right)^{2}-{\mathrm e}^{x -5}$&$31$\\ risch&$\left({\mathrm e}^{x} x +x^{2}\right) \ln \left(x \right)^{2}-\frac{x \,{\mathrm e}^{x -5}-2 \,{\mathrm e}^{x -5}+2}{x -2}$&$36$\\ \hline \end{longtable}"," ",0,"x*exp(x)*ln(x)^2-2/(x-2)+x^2*ln(x)^2-exp(x-5)","A"
2657,1,26,31,0.160000," ","int((exp(1)^2*exp(x^2/exp(1)^2)^2+((-14*x-1)*exp(1)^2+10*x^3-10*x^2)*exp(x^2/exp(1)^2)+(14*x^2+42*x-6)*exp(1)^2)/(5*exp(1)^2*exp(x^2/exp(1)^2)^2+(-20*x-30)*exp(1)^2*exp(x^2/exp(1)^2)+(20*x^2+60*x+45)*exp(1)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{5}+\frac{x \left(x -1\right)}{2 x -{\mathrm e}^{x^{2} {\mathrm e}^{-2}}+3}$&$26$\\ norman&$\frac{\left(-\frac{2 x \,{\mathrm e}}{5}+\frac{7 x^{2} {\mathrm e}}{5}-\frac{x \,{\mathrm e} \,{\mathrm e}^{x^{2} {\mathrm e}^{-2}}}{5}\right) {\mathrm e}^{-1}}{2 x -{\mathrm e}^{x^{2} {\mathrm e}^{-2}}+3}$&$51$\\ \hline \end{longtable}"," ",0,"1/5*x+x*(x-1)/(2*x-exp(x^2*exp(-2))+3)","A"
2658,1,20,20,0.180000," ","int((-4*ln(3)*exp(x)^2+(x^2+x-3)*exp(x))/((32*x^2+192*x+288)*ln(3)^2*exp(x)^2+(16*x^3+96*x^2+144*x)*ln(3)*exp(x)+2*x^4+12*x^3+18*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{x}}{2 \left(3+x \right) \left(4 \ln \left(3\right) {\mathrm e}^{x}+x \right)}$&$20$\\ risch&$\frac{1}{8 \ln \left(3\right) \left(3+x \right)}-\frac{x}{8 \ln \left(3\right) \left(3+x \right) \left(4 \ln \left(3\right) {\mathrm e}^{x}+x \right)}$&$35$\\ \hline \end{longtable}"," ",0,"1/2*exp(x)/(3+x)/(4*ln(3)*exp(x)+x)","A"
2659,1,13,15,0.382000," ","int((((2*x+1)*ln(2*x+1)+2*x)*exp(x*ln(2*x+1))+(4*x+2)*exp(x))/(2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(2 x +1\right)^{x}+2 \,{\mathrm e}^{x}$&$13$\\ default&${\mathrm e}^{x \ln \left(2 x +1\right)}+2 \,{\mathrm e}^{x}$&$15$\\ norman&${\mathrm e}^{x \ln \left(2 x +1\right)}+2 \,{\mathrm e}^{x}$&$15$\\ \hline \end{longtable}"," ",0,"(2*x+1)^x+2*exp(x)","A"
2660,1,242,34,1.161000," ","int((((x^5+2*x^4-3*x^3)*ln(x^2-x)^3+(12*x^3+36*x^2-12*x-36)*ln(x^2-x)+24*x^3+84*x^2+24*x-36)*exp(3/x^2/ln(x^2-x)^2)^2+(((-2*x^5-4*x^4+6*x^3)*ln(3+x)+4*x^5+4*x^4-8*x^3)*ln(x^2-x)^3+((-12*x^3-36*x^2+12*x+36)*ln(3+x)-12*x^4-36*x^3+12*x^2+36*x)*ln(x^2-x)+(-24*x^3-84*x^2-24*x+36)*ln(3+x)-24*x^4-84*x^3-24*x^2+36*x)*exp(3/x^2/ln(x^2-x)^2)+((x^5+2*x^4-3*x^3)*ln(3+x)^2+(-4*x^5-4*x^4+8*x^3)*ln(3+x)-x^7-6*x^6-x^5+8*x^4)*ln(x^2-x)^3)/(x^7+4*x^6+2*x^5-4*x^4-3*x^3)/ln(x^2-x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x \ln \left(3+x \right)+x^{2}+\ln \left(3+x \right)^{2}+x +1}{x +1}-\frac{{\mathrm e}^{\frac{24}{x^{2} \left(-i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}+i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)-i \pi  \,\mathrm{csgn}\left(i x \left(x -1\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right)+2 \ln \left(x \right)+2 \ln \left(x -1\right)\right)^{2}}}}{x +1}+\frac{2 \left(\ln \left(3+x \right)+x \right) {\mathrm e}^{\frac{12}{x^{2} \left(-i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}+i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)-i \pi  \,\mathrm{csgn}\left(i x \left(x -1\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right)+2 \ln \left(x \right)+2 \ln \left(x -1\right)\right)^{2}}}}{x +1}$&$242$\\ \hline \end{longtable}"," ",0,"-(2*x*ln(3+x)+x^2+ln(3+x)^2+x+1)/(x+1)-1/(x+1)*exp(24/x^2/(-I*Pi*csgn(I*x*(x-1))^3+I*Pi*csgn(I*x*(x-1))^2*csgn(I*x)+I*Pi*csgn(I*x*(x-1))^2*csgn(I*(x-1))-I*Pi*csgn(I*x*(x-1))*csgn(I*x)*csgn(I*(x-1))+2*ln(x)+2*ln(x-1))^2)+2*(ln(3+x)+x)/(x+1)*exp(12/x^2/(-I*Pi*csgn(I*x*(x-1))^3+I*Pi*csgn(I*x*(x-1))^2*csgn(I*x)+I*Pi*csgn(I*x*(x-1))^2*csgn(I*(x-1))-I*Pi*csgn(I*x*(x-1))*csgn(I*x)*csgn(I*(x-1))+2*ln(x)+2*ln(x-1))^2)","C"
2661,1,22,26,0.011000," ","int(-9*x^2*ln(x)-42/5*x^2+24*x+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$12 x^{2}+4 x -\frac{9 x^{3}}{5}-3 x^{3} \ln \left(x \right)$&$22$\\ norman&$12 x^{2}+4 x -\frac{9 x^{3}}{5}-3 x^{3} \ln \left(x \right)$&$22$\\ risch&$12 x^{2}+4 x -\frac{9 x^{3}}{5}-3 x^{3} \ln \left(x \right)$&$22$\\ \hline \end{longtable}"," ",0,"12*x^2+4*x-9/5*x^3-3*x^3*ln(x)","A"
2662,1,103,26,0.543000," ","int(((((exp(4)^2+2*x*exp(4)+x^2)*ln(x)^2+(exp(4)^2+2*x*exp(4)+x^2)*ln(x))*exp(x*ln(x))+(-exp(4)^2-2*x*exp(4)-x^2)*ln(x))*ln(2*x*ln(x))^2+exp(4)*ln(x)*ln(2*x*ln(x))+(-exp(4)-x)*ln(x)-exp(4)-x)/(exp(4)^2+2*x*exp(4)+x^2)/ln(x)/ln(2*x*ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{x}-x +\frac{2 i x}{\left(x +{\mathrm e}^{4}\right) \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}+2 i \ln \left(2\right)+2 i \ln \left(x \right)+2 i \ln \left(\ln \left(x \right)\right)\right)}$&$103$\\ \hline \end{longtable}"," ",0,"x^x-x+2*I*x/(x+exp(4))/(Pi*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))-Pi*csgn(I*x)*csgn(I*x*ln(x))^2-Pi*csgn(I*ln(x))*csgn(I*x*ln(x))^2+Pi*csgn(I*x*ln(x))^3+2*I*ln(2)+2*I*ln(x)+2*I*ln(ln(x)))","C"
2663,1,30,23,0.102000," ","int((((-3*x+12)*ln(x-4)^2+((6*x^2-24*x)*exp(1)+6*x^2-24*x)*ln(x-4)+(-3*x^3+9*x^2)*exp(1)-3*x^3+12*x^2)*ln(x)+(3*x-12)*ln(x-4)^2+((-3*x^2+12*x)*exp(1)-6*x^2+24*x)*ln(x-4)+(3*x^3-12*x^2)*exp(1)+3*x^3-12*x^2)/((x-4)*ln(x-4)^2+(-2*x^2+8*x)*ln(x-4)+x^3-4*x^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 x}{\ln \left(x \right)}-\frac{3 \,{\mathrm e} x^{2}}{\ln \left(x \right) \left(x -\ln \left(x -4\right)\right)}$&$30$\\ \hline \end{longtable}"," ",0,"-3*x/ln(x)-3*exp(1)*x^2/ln(x)/(x-ln(x-4))","A"
2664,1,30,25,0.120000," ","int(1/2*(-20*x^2*exp(5)+20*x^4-1)*exp(5*exp(5)^2-10*x^2*exp(5)+5*exp(3)+5*x^4+10)*exp(1/2*exp(5*exp(5)^2-10*x^2*exp(5)+5*exp(3)+5*x^4+10)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{5 \,{\mathrm e}^{10}-10 x^{2} {\mathrm e}^{5}+5 \,{\mathrm e}^{3}+5 x^{4}+10}}{2 x}}$&$30$\\ norman&${\mathrm e}^{\frac{{\mathrm e}^{5 \,{\mathrm e}^{10}-10 x^{2} {\mathrm e}^{5}+5 \,{\mathrm e}^{3}+5 x^{4}+10}}{2 x}}$&$32$\\ \hline \end{longtable}"," ",0,"exp(1/2*exp(5*exp(10)-10*x^2*exp(5)+5*exp(3)+5*x^4+10)/x)","A"
2665,1,309,30,0.582000," ","int((75*ln(4*x)*ln(ln(4*x)^2)^2+(10*x^2*ln(4*x)-100)*ln(ln(4*x)^2)+(-x^4-3*x^2+6*x)*ln(4*x)-20*x^2)/x^4/ln(4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{100 \ln \left(\ln \left(4 x \right)\right)^{2}}{x^{3}}-\frac{10 \left(-5 i \pi  \mathrm{csgn}\left(i \ln \left(4 x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(4 x \right)^{2}\right)+10 i \pi  \,\mathrm{csgn}\left(i \ln \left(4 x \right)\right) \mathrm{csgn}\left(i \ln \left(4 x \right)^{2}\right)^{2}-5 i \pi  \mathrm{csgn}\left(i \ln \left(4 x \right)^{2}\right)^{3}+2 x^{2}\right) \ln \left(\ln \left(4 x \right)\right)}{x^{3}}-\frac{-25 \pi^{2} \mathrm{csgn}\left(i \ln \left(4 x \right)\right)^{4} \mathrm{csgn}\left(i \ln \left(4 x \right)^{2}\right)^{2}+100 \pi^{2} \mathrm{csgn}\left(i \ln \left(4 x \right)\right)^{3} \mathrm{csgn}\left(i \ln \left(4 x \right)^{2}\right)^{3}-150 \pi^{2} \mathrm{csgn}\left(i \ln \left(4 x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(4 x \right)^{2}\right)^{4}+100 \pi^{2} \mathrm{csgn}\left(i \ln \left(4 x \right)\right) \mathrm{csgn}\left(i \ln \left(4 x \right)^{2}\right)^{5}-25 \pi^{2} \mathrm{csgn}\left(i \ln \left(4 x \right)^{2}\right)^{6}-20 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(4 x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(4 x \right)^{2}\right)+40 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(4 x \right)\right) \mathrm{csgn}\left(i \ln \left(4 x \right)^{2}\right)^{2}-20 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(4 x \right)^{2}\right)^{3}+4 x^{4}-12 x^{2}+12 x}{4 x^{3}}$&$309$\\ \hline \end{longtable}"," ",0,"-100/x^3*ln(ln(4*x))^2-10*(-5*I*Pi*csgn(I*ln(4*x))^2*csgn(I*ln(4*x)^2)+10*I*Pi*csgn(I*ln(4*x))*csgn(I*ln(4*x)^2)^2-5*I*Pi*csgn(I*ln(4*x)^2)^3+2*x^2)/x^3*ln(ln(4*x))-1/4*(-25*Pi^2*csgn(I*ln(4*x))^4*csgn(I*ln(4*x)^2)^2+100*Pi^2*csgn(I*ln(4*x))^3*csgn(I*ln(4*x)^2)^3-150*Pi^2*csgn(I*ln(4*x))^2*csgn(I*ln(4*x)^2)^4+100*Pi^2*csgn(I*ln(4*x))*csgn(I*ln(4*x)^2)^5-25*Pi^2*csgn(I*ln(4*x)^2)^6-20*I*Pi*x^2*csgn(I*ln(4*x))^2*csgn(I*ln(4*x)^2)+40*I*Pi*x^2*csgn(I*ln(4*x))*csgn(I*ln(4*x)^2)^2-20*I*Pi*x^2*csgn(I*ln(4*x)^2)^3+4*x^4-12*x^2+12*x)/x^3","C"
2666,1,28,31,0.136000," ","int(((3*x^3+9*x^2-3*x)*ln(x^5+3*x^4-x^3)+(x^4-3*x^3-10*x^2+33*x-9)*exp(8)-15*x^3+9*x^2+117*x-27)/(x^5-3*x^4-10*x^3+33*x^2-9*x)/exp(8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 \,{\mathrm e}^{-8} \ln \left(x^{5}+3 x^{4}-x^{3}\right)}{x -3}+\ln \left(x \right)$&$28$\\ norman&$-\frac{3 \,{\mathrm e}^{-8} \ln \left(x^{5}+3 x^{4}-x^{3}\right)}{x -3}+\ln \left(x \right)$&$30$\\ \hline \end{longtable}"," ",0,"-3*exp(-8)*ln(x^5+3*x^4-x^3)/(x-3)+ln(x)","A"
2667,1,17,21,0.059000," ","int(1/4*(-x*ln(x^2)-20*exp(x)*x-4*x+2)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-5 x +\frac{\left(4+\ln \left(x^{2}\right)\right) {\mathrm e}^{-x}}{4}$&$17$\\ norman&$\left(1-5 \,{\mathrm e}^{x} x +\frac{\ln \left(x^{2}\right)}{4}\right) {\mathrm e}^{-x}$&$19$\\ risch&$\frac{\ln \left(x \right) {\mathrm e}^{-x}}{2}-\frac{\left(i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+40 \,{\mathrm e}^{x} x -8\right) {\mathrm e}^{-x}}{8}$&$72$\\ \hline \end{longtable}"," ",0,"-5*x+1/4*(4+ln(x^2))/exp(x)","A"
2668,1,16,19,0.057000," ","int(((-4*x^3-24*x^2-32*x)*ln(x^2)-2*x^3-16*x^2-32*x)*exp((x^4+8*x^3+16*x^2)*ln(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\left(x^{2}\right)^{\left(4+x \right)^{2} x^{2}}$&$16$\\ default&$-{\mathrm e}^{\left(x^{4}+8 x^{3}+16 x^{2}\right) \ln \left(x^{2}\right)}$&$23$\\ norman&$-{\mathrm e}^{\left(x^{4}+8 x^{3}+16 x^{2}\right) \ln \left(x^{2}\right)}$&$23$\\ \hline \end{longtable}"," ",0,"-(x^2)^((4+x)^2*x^2)","A"
2669,1,32,24,0.036000," ","int(ln(x)^2-8*ln(x)+(6*x^2+24*x+1)*exp(3*x^2+24*x-27)-2*x+15,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x +x \ln \left(x \right)^{2}-10 x \ln \left(x \right)+{\mathrm e}^{3 \left(x +9\right) \left(x -1\right)} x -x^{2}$&$32$\\ default&$25 x +x \ln \left(x \right)^{2}-10 x \ln \left(x \right)+{\mathrm e}^{3 x^{2}+24 x -27} x -x^{2}$&$34$\\ norman&$25 x +x \ln \left(x \right)^{2}-10 x \ln \left(x \right)+{\mathrm e}^{3 x^{2}+24 x -27} x -x^{2}$&$34$\\ \hline \end{longtable}"," ",0,"25*x+x*ln(x)^2-10*x*ln(x)+exp(3*(x+9)*(x-1))*x-x^2","A"
2670,1,15,18,0.023000," ","int(1/625*(98*x+1120)*exp(49/625*x^2+224/125*x+256/25)+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x +{\mathrm e}^{\frac{\left(7 x +80\right)^{2}}{625}}$&$15$\\ default&$3 x +{\mathrm e}^{\frac{49}{625} x^{2}+\frac{224}{125} x +\frac{256}{25}}$&$16$\\ norman&$3 x +{\mathrm e}^{\frac{49}{625} x^{2}+\frac{224}{125} x +\frac{256}{25}}$&$16$\\ \hline \end{longtable}"," ",0,"3*x+exp(1/625*(7*x+80)^2)","A"
2671,1,429,32,0.231000," ","int(((-3*exp(exp(x)+2*x^2+x-2)^2-x^2)*ln((3*exp(exp(x)+2*x^2+x-2)^2+x^2)/exp(exp(x)+2*x^2+x-2)^2)+(-3*x+3)*exp(exp(x)+2*x^2+x-2)^2-2*exp(x)*x^2-9*x^3-x^2+2*x)/(3*exp(x)*exp(exp(x)+2*x^2+x-2)^2+exp(x)*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \,{\mathrm e}^{-x} \ln \left({\mathrm e}^{{\mathrm e}^{x}+2 x^{2}+x -2}\right)+\frac{\left(-i \pi  \,\mathrm{csgn}\left(i \left(3 \,{\mathrm e}^{2 \,{\mathrm e}^{x}+4 x^{2}+2 x -4}+x^{2}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 \,{\mathrm e}^{x}-4 x^{2}-2 x +4}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 \,{\mathrm e}^{x}-4 x^{2}-2 x +4} \left(3 \,{\mathrm e}^{2 \,{\mathrm e}^{x}+4 x^{2}+2 x -4}+x^{2}\right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(3 \,{\mathrm e}^{2 \,{\mathrm e}^{x}+4 x^{2}+2 x -4}+x^{2}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 \,{\mathrm e}^{x}-4 x^{2}-2 x +4} \left(3 \,{\mathrm e}^{2 \,{\mathrm e}^{x}+4 x^{2}+2 x -4}+x^{2}\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 \,{\mathrm e}^{x}-4 x^{2}-2 x +4}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 \,{\mathrm e}^{x}-4 x^{2}-2 x +4} \left(3 \,{\mathrm e}^{2 \,{\mathrm e}^{x}+4 x^{2}+2 x -4}+x^{2}\right)\right)^{2}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{x}+2 x^{2}+x -2}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{x}+4 x^{2}+2 x -4}\right)-2 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{x}+2 x^{2}+x -2}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{x}+4 x^{2}+2 x -4}\right)^{2}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{x}+4 x^{2}+2 x -4}\right)^{3}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-2 \,{\mathrm e}^{x}-4 x^{2}-2 x +4} \left(3 \,{\mathrm e}^{2 \,{\mathrm e}^{x}+4 x^{2}+2 x -4}+x^{2}\right)\right)^{3}+2 x +2 \ln \left(3 \,{\mathrm e}^{2 \,{\mathrm e}^{x}+4 x^{2}+2 x -4}+x^{2}\right)\right) {\mathrm e}^{-x}}{2}$&$429$\\ \hline \end{longtable}"," ",0,"-2*exp(-x)*ln(exp(exp(x)+2*x^2+x-2))+1/2*(-I*Pi*csgn(I*(3*exp(2*exp(x)+4*x^2+2*x-4)+x^2))*csgn(I*exp(-2*exp(x)-4*x^2-2*x+4))*csgn(I*exp(-2*exp(x)-4*x^2-2*x+4)*(3*exp(2*exp(x)+4*x^2+2*x-4)+x^2))+I*Pi*csgn(I*(3*exp(2*exp(x)+4*x^2+2*x-4)+x^2))*csgn(I*exp(-2*exp(x)-4*x^2-2*x+4)*(3*exp(2*exp(x)+4*x^2+2*x-4)+x^2))^2+I*Pi*csgn(I*exp(-2*exp(x)-4*x^2-2*x+4))*csgn(I*exp(-2*exp(x)-4*x^2-2*x+4)*(3*exp(2*exp(x)+4*x^2+2*x-4)+x^2))^2+I*Pi*csgn(I*exp(exp(x)+2*x^2+x-2))^2*csgn(I*exp(2*exp(x)+4*x^2+2*x-4))-2*I*Pi*csgn(I*exp(exp(x)+2*x^2+x-2))*csgn(I*exp(2*exp(x)+4*x^2+2*x-4))^2+I*Pi*csgn(I*exp(2*exp(x)+4*x^2+2*x-4))^3-I*Pi*csgn(I*exp(-2*exp(x)-4*x^2-2*x+4)*(3*exp(2*exp(x)+4*x^2+2*x-4)+x^2))^3+2*x+2*ln(3*exp(2*exp(x)+4*x^2+2*x-4)+x^2))*exp(-x)","C"
2672,1,19,20,0.067000," ","int(1/2*(((-5*x-10)*exp(1/2*x)+200*x^4)*ln(x)-10*exp(1/2*x)+40*x^4)*exp((-5*x*exp(1/2*x)+20*x^5)*ln(x)-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{-5 x \left(-4 x^{4}+{\mathrm e}^{\frac{x}{2}}\right)} {\mathrm e}^{-3}$&$19$\\ \hline \end{longtable}"," ",0,"x^(-5*x*(-4*x^4+exp(1/2*x)))*exp(-3)","A"
2673,1,14,14,0.028000," ","int(1/10*(2*(48*x+5)*ln(2)+8*x)/x/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{48 x}{5}+\frac{4 x}{5 \ln \left(2\right)}+\ln \left(x \right)$&$14$\\ norman&$\frac{4 \left(12 \ln \left(2\right)+1\right) x}{5 \ln \left(2\right)}+\ln \left(x \right)$&$17$\\ default&$\frac{48 x \ln \left(2\right)+4 x +5 \ln \left(2\right) \ln \left(x \right)}{5 \ln \left(2\right)}$&$22$\\ \hline \end{longtable}"," ",0,"48/5*x+4/5*x/ln(2)+ln(x)","A"
2674,1,19,17,0.036000," ","int(((-x^3+x^2-4*x-4)*exp(x)+x^2-4)/((x^3+4*x)*exp(x)+x^3+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)-\ln \left({\mathrm e}^{x}+1\right)+\ln \left(x^{2}+4\right)$&$19$\\ risch&$-\ln \left(x \right)-\ln \left({\mathrm e}^{x}+1\right)+\ln \left(x^{2}+4\right)$&$19$\\ \hline \end{longtable}"," ",0,"-ln(x)-ln(exp(x)+1)+ln(x^2+4)","A"
2675,1,17,18,0.016000," ","int(((2*x-11)*ln(3)-2*x)/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\ln \left(3\right)-1\right) x^{2}}{\ln \left(3\right)}-11 x$&$17$\\ risch&$x^{2}-11 x -\frac{x^{2}}{\ln \left(3\right)}$&$17$\\ gosper&$\frac{x \left(x \ln \left(3\right)-11 \ln \left(3\right)-x \right)}{\ln \left(3\right)}$&$19$\\ default&$\frac{\ln \left(3\right) \left(x^{2}-11 x \right)-x^{2}}{\ln \left(3\right)}$&$22$\\ \hline \end{longtable}"," ",0,"(ln(3)-1)/ln(3)*x^2-11*x","A"
2676,1,10,9,0.402000," ","int(((8*x+3)*ln(-32*x-12)+8)/(8*x+3)/ln(-32*x-12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(-32 x -12\right)\right)+x$&$10$\\ risch&$\ln \left(\ln \left(-32 x -12\right)\right)+x$&$10$\\ derivativedivides&$x +\frac{3}{8}+\ln \left(\ln \left(-32 x -12\right)\right)$&$11$\\ default&$x +\frac{3}{8}+\ln \left(\ln \left(-32 x -12\right)\right)$&$11$\\ \hline \end{longtable}"," ",0,"ln(ln(-32*x-12))+x","A"
2677,1,20,12,0.023000," ","int((2*x^3-6*x^2+5)/(x^4-6*x^3+9*x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)+\ln \left(x^{3}-6 x^{2}+9 x -5\right)$&$20$\\ norman&$-\ln \left(x \right)+\ln \left(x^{3}-6 x^{2}+9 x -5\right)$&$20$\\ risch&$-\ln \left(x \right)+\ln \left(x^{3}-6 x^{2}+9 x -5\right)$&$20$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(x^3-6*x^2+9*x-5)","A"
2678,1,88,19,0.090000," ","int((((-x-1)*exp(x)+3*x^2-3)*ln(x)+(-5*x-6)*exp(x)+16*x^2-18)*ln(2*x)+(-exp(x)+x^2-3)*ln(x)-5*exp(x)+5*x^2-15,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3} \ln \left(x \right)^{2}+\ln \left(x \right) \ln \left(2\right) x^{3}-x \,{\mathrm e}^{x} \ln \left(x \right)^{2}-x \ln \left(2\right) {\mathrm e}^{x} \ln \left(x \right)+5 x^{3} \ln \left(x \right)+5 x^{3} \ln \left(2\right)-3 x \ln \left(x \right)^{2}-5 x \,{\mathrm e}^{x} \ln \left(x \right)-3 x \ln \left(2\right) \ln \left(x \right)-5 x \ln \left(2\right) {\mathrm e}^{x}-15 x \ln \left(x \right)-15 x \ln \left(2\right)$&$88$\\ \hline \end{longtable}"," ",0,"x^3*ln(x)^2+ln(x)*ln(2)*x^3-x*exp(x)*ln(x)^2-x*ln(2)*exp(x)*ln(x)+5*x^3*ln(x)+5*x^3*ln(2)-3*x*ln(x)^2-5*x*exp(x)*ln(x)-3*x*ln(2)*ln(x)-5*x*ln(2)*exp(x)-15*x*ln(x)-15*x*ln(2)","B"
2679,1,24,28,0.023000," ","int((-6*x^5-52*x^4-71*x^3+191*x^2+305*x+25)/(x^3+10*x^2+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x^{3}+4 x^{2}-x -\frac{320}{5+x}+\ln \left(x \right)$&$24$\\ risch&$-2 x^{3}+4 x^{2}-x -\frac{320}{5+x}+\ln \left(x \right)$&$24$\\ norman&$\frac{-2 x^{4}-6 x^{3}+19 x^{2}-295}{5+x}+\ln \left(x \right)$&$27$\\ \hline \end{longtable}"," ",0,"-2*x^3+4*x^2-x-320/(5+x)+ln(x)","A"
2680,1,45,32,0.349000," ","int((((12*x^3-40*x^2+44*x-16)*ln(2)^2+(-24*x^4+80*x^3-88*x^2+44*x-16)*ln(2)+12*x^5-40*x^4+44*x^3-40*x^2+44*x-16)*ln(2-3/2*x)+(-12*x^3+24*x^2-12*x)*ln(2)^2+(24*x^4-48*x^3+24*x^2+12*x-12)*ln(2)-12*x^5+24*x^4-12*x^3-12*x^2+12*x)/((3*x^3-10*x^2+11*x-4)*ln(2)^2+(-6*x^4+20*x^3-22*x^2+8*x)*ln(2)+3*x^5-10*x^4+11*x^3-4*x^2)/ln(2-3/2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-4+\left(4 \ln \left(2\right)+4\right) x^{2}-4 x^{3}-4 x \ln \left(2\right)}{\left(x -1\right) \left(\ln \left(2\right)-x \right) \ln \left(2-\frac{3 x}{2}\right)}$&$45$\\ risch&$\frac{4 x^{2} \ln \left(2\right)-4 x^{3}-4 x \ln \left(2\right)+4 x^{2}-4}{\left(x \ln \left(2\right)-x^{2}-\ln \left(2\right)+x \right) \ln \left(2-\frac{3 x}{2}\right)}$&$49$\\ \hline \end{longtable}"," ",0,"(-4+(4*ln(2)+4)*x^2-4*x^3-4*x*ln(2))/(x-1)/(ln(2)-x)/ln(2-3/2*x)","A"
2681,1,38,29,0.457000," ","int(((ln(12)*ln(x)^3-2*x*ln(12)*ln(x)^2+x^2*ln(12)*ln(x))*ln(5/x/ln(x)^2)+ln(12)*ln(x)^3+((-2*x+2)*ln(12)-2*x^2)*ln(x)^2+((x^2-4*x)*ln(12)+2*x^2)*ln(x)+2*x^2*ln(12))/(x^2*ln(x)^3-2*x^3*ln(x)^2+x^4*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(12\right) \ln \left(\frac{1}{x \ln \left(x \right)^{2}}\right)}{x}-\frac{\ln \left(12\right) \ln \left(5\right)}{x}+\frac{2 x}{x -\ln \left(x \right)}$&$38$\\ risch&$\frac{2 \left(\ln \left(3\right)+2 \ln \left(2\right)\right) \ln \left(\ln \left(x \right)\right)}{x}+\frac{2 x \ln \left(3\right) \ln \left(x \right)+2 \ln \left(3\right) \ln \left(5\right) \ln \left(x \right)+4 x \ln \left(2\right) \ln \left(x \right)-4 x \ln \left(2\right) \ln \left(5\right)-2 \ln \left(3\right) \ln \left(x \right)^{2}+4 x^{2}-4 \ln \left(2\right) \ln \left(x \right)^{2}-2 x \ln \left(3\right) \ln \left(5\right)+2 i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right)-2 i \pi  \ln \left(2\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right) \ln \left(x \right)-i \pi  \ln \left(3\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right) \ln \left(x \right)+i \pi  \ln \left(3\right) x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right)-i \pi  \ln \left(3\right) x \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right)^{2}+2 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \ln \left(x \right)-4 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2} \ln \left(x \right)+i \pi  \ln \left(3\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right)^{2} \ln \left(x \right)+i \pi  \ln \left(3\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right)^{2} \ln \left(x \right)+4 \ln \left(2\right) \ln \left(5\right) \ln \left(x \right)-i \pi  \ln \left(3\right) x \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}-i \pi  \ln \left(3\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right)^{3} \ln \left(x \right)-2 i \pi  \ln \left(2\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right)^{3} \ln \left(x \right)+2 i \pi  \ln \left(2\right) x \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right)^{3}-2 i \pi  \ln \left(2\right) x \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}+2 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3} \ln \left(x \right)+i \pi  \ln \left(3\right) x \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right)^{3}+i \pi  \ln \left(3\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3} \ln \left(x \right)+i \pi  \ln \left(3\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \ln \left(x \right)-2 i \pi  \ln \left(3\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2} \ln \left(x \right)+2 i \pi  \ln \left(2\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right)^{2} \ln \left(x \right)-2 i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right)^{2}+2 i \pi  \ln \left(3\right) x \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}-2 i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right)^{2}-2 i \pi  \ln \left(2\right) x \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)-i \pi  \ln \left(3\right) x \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)+4 i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}-i \pi  \ln \left(3\right) x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right)^{2}+2 i \pi  \ln \left(2\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)^{2}}\right)^{2} \ln \left(x \right)}{2 x \left(x -\ln \left(x \right)\right)}$&$794$\\ \hline \end{longtable}"," ",0,"-ln(12)*ln(1/x/ln(x)^2)/x-ln(12)*ln(5)/x+2/(x-ln(x))*x","A"
2682,1,27,25,0.040000," ","int((-8*exp(2)*ln(x)^2+(-16*exp(2)+4)*ln(x)+3)*exp(-8*x*exp(2)*ln(x)^2+4*x*ln(x)-exp(2+exp(4))-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-8 x \,{\mathrm e}^{2} \ln \left(x \right)^{2}+4 x \ln \left(x \right)-{\mathrm e}^{2+{\mathrm e}^{4}}-x}$&$27$\\ risch&$x^{4 x} {\mathrm e}^{-8 x \,{\mathrm e}^{2} \ln \left(x \right)^{2}-{\mathrm e}^{2+{\mathrm e}^{4}}-x}$&$28$\\ \hline \end{longtable}"," ",0,"exp(-8*x*exp(2)*ln(x)^2+4*x*ln(x)-exp(2+exp(4))-x)","A"
2683,1,11,10,0.407000," ","int((32*x^2+128*x+1)/(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$16 x^{2}+\ln \left(4+x \right)$&$11$\\ norman&$16 x^{2}+\ln \left(4+x \right)$&$11$\\ risch&$16 x^{2}+\ln \left(4+x \right)$&$11$\\ meijerg&$\ln \left(1+\frac{x}{4}\right)-\frac{64 x \left(-\frac{3 x}{4}+6\right)}{3}+128 x$&$19$\\ \hline \end{longtable}"," ",0,"16*x^2+ln(4+x)","A"
2684,1,19,32,0.019000," ","int((-10*x^5+80*x^4-160*x^3-2*x^2+52*x-104)/(x^4-8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-5 x^{2}+\frac{13}{2 x}-\frac{9}{2 \left(x -4\right)}$&$19$\\ risch&$-5 x^{2}+\frac{2 x -26}{\left(x -4\right) x}$&$21$\\ norman&$\frac{-5 x^{4}+20 x^{3}+2 x -26}{\left(x -4\right) x}$&$25$\\ gosper&$-\frac{5 x^{4}-20 x^{3}-2 x +26}{x \left(x -4\right)}$&$26$\\ \hline \end{longtable}"," ",0,"-5*x^2+13/2/x-9/2/(x-4)","A"
2685,1,27,25,0.038000," ","int(((-exp(1)-x)*exp((3+x)/exp(1))+exp(1)*exp(4)+(4*x^3-4*x+2)*exp(1))/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{4}+x^{4}-2 x^{2}+2 x -{\mathrm e}^{\left(3+x \right) {\mathrm e}^{-1}} x$&$27$\\ norman&$x^{4}+\left(2+{\mathrm e}^{4}\right) x -2 x^{2}-{\mathrm e}^{\left(3+x \right) {\mathrm e}^{-1}} x$&$28$\\ default&${\mathrm e}^{-1} \left({\mathrm e} \left(-{\mathrm e}^{{\mathrm e}^{-1} x +3 \,{\mathrm e}^{-1}} {\mathrm e}-{\mathrm e} \left({\mathrm e}^{{\mathrm e}^{-1} x +3 \,{\mathrm e}^{-1}} \left({\mathrm e}^{-1} x +3 \,{\mathrm e}^{-1}\right)-{\mathrm e}^{{\mathrm e}^{-1} x +3 \,{\mathrm e}^{-1}}\right)+3 \,{\mathrm e}^{{\mathrm e}^{-1} x +3 \,{\mathrm e}^{-1}}\right)+{\mathrm e} \left(x^{4}-2 x^{2}+2 x \right)+{\mathrm e} \,{\mathrm e}^{4} x \right)$&$115$\\ derivativedivides&$-{\mathrm e}^{{\mathrm e}^{-1} x +3 \,{\mathrm e}^{-1}} {\mathrm e}-{\mathrm e} \left({\mathrm e}^{{\mathrm e}^{-1} x +3 \,{\mathrm e}^{-1}} \left({\mathrm e}^{-1} x +3 \,{\mathrm e}^{-1}\right)-{\mathrm e}^{{\mathrm e}^{-1} x +3 \,{\mathrm e}^{-1}}\right)+3 \,{\mathrm e}^{{\mathrm e}^{-1} x +3 \,{\mathrm e}^{-1}}+{\mathrm e} \left(x^{4} {\mathrm e}^{-1}-4 \,{\mathrm e} \left(\frac{\left({\mathrm e}^{-1} x +3 \,{\mathrm e}^{-1}\right)^{2}}{2}-3 \,{\mathrm e}^{-1} \left({\mathrm e}^{-1} x +3 \,{\mathrm e}^{-1}\right)\right)+2 \,{\mathrm e}^{-1} x +6 \,{\mathrm e}^{-1}\right)+{\mathrm e} \,{\mathrm e}^{4} \left({\mathrm e}^{-1} x +3 \,{\mathrm e}^{-1}\right)$&$169$\\ \hline \end{longtable}"," ",0,"x*exp(4)+x^4-2*x^2+2*x-exp((3+x)*exp(-1))*x","A"
2686,1,74,23,0.051000," ","int((4*x*exp(4)^2*exp(x^2)^2+((-24*x^2-56*x-12)*exp(4)^2+(-24*x^2-60*x-12)*exp(4))*exp(x^2)+(72*x+168)*exp(4)^2+(144*x+348)*exp(4)+72*x+180)/(9*exp(4)^2+18*exp(4)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(4 \,{\mathrm e}^{4}+4\right) x^{2}+\left(\frac{56 \,{\mathrm e}^{4}}{3}+20\right) x -\frac{4 x \,{\mathrm e}^{4} {\mathrm e}^{x^{2}}}{3}+\frac{{\mathrm e}^{8} {\mathrm e}^{2 x^{2}}}{9 \,{\mathrm e}^{4}+9}-\frac{2 \left(14 \,{\mathrm e}^{4}+15\right) {\mathrm e}^{4} {\mathrm e}^{x^{2}}}{9 \left({\mathrm e}^{4}+1\right)}}{{\mathrm e}^{4}+1}$&$74$\\ default&$\frac{180 x +{\mathrm e}^{8} \left(36 x^{2}+168 x \right)+{\mathrm e}^{4} \left(72 x^{2}+348 x \right)-6 \,{\mathrm e}^{4} \sqrt{\pi}\, \erfi \left(x \right)-6 \,{\mathrm e}^{8} \sqrt{\pi}\, \erfi \left(x \right)-30 \,{\mathrm e}^{4} {\mathrm e}^{x^{2}}-28 \,{\mathrm e}^{8} {\mathrm e}^{x^{2}}-24 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{x^{2}} x}{2}-\frac{\sqrt{\pi}\, \erfi \left(x \right)}{4}\right)-24 \,{\mathrm e}^{8} \left(\frac{{\mathrm e}^{x^{2}} x}{2}-\frac{\sqrt{\pi}\, \erfi \left(x \right)}{4}\right)+36 x^{2}+{\mathrm e}^{8} {\mathrm e}^{2 x^{2}}}{9 \,{\mathrm e}^{8}+18 \,{\mathrm e}^{4}+9}$&$139$\\ risch&$\frac{36 x^{2} {\mathrm e}^{8}}{9 \,{\mathrm e}^{8}+18 \,{\mathrm e}^{4}+9}+\frac{{\mathrm e}^{2 x^{2}+8}}{9 \,{\mathrm e}^{8}+18 \,{\mathrm e}^{4}+9}+\frac{168 x \,{\mathrm e}^{8}}{9 \,{\mathrm e}^{8}+18 \,{\mathrm e}^{4}+9}+\frac{72 x^{2} {\mathrm e}^{4}}{9 \,{\mathrm e}^{8}+18 \,{\mathrm e}^{4}+9}+\frac{348 x \,{\mathrm e}^{4}}{9 \,{\mathrm e}^{8}+18 \,{\mathrm e}^{4}+9}+\frac{36 x^{2}}{9 \,{\mathrm e}^{8}+18 \,{\mathrm e}^{4}+9}+\frac{180 x}{9 \,{\mathrm e}^{8}+18 \,{\mathrm e}^{4}+9}+\frac{\left(-12 x \,{\mathrm e}^{8}-28 \,{\mathrm e}^{8}-12 x \,{\mathrm e}^{4}-30 \,{\mathrm e}^{4}\right) {\mathrm e}^{x^{2}}}{9 \,{\mathrm e}^{8}+18 \,{\mathrm e}^{4}+9}$&$163$\\ \hline \end{longtable}"," ",0,"((4*exp(4)+4)*x^2+(56/3*exp(4)+20)*x-4/3*x*exp(4)*exp(x^2)+1/9*exp(4)^2/(exp(4)+1)*exp(x^2)^2-2/9*(14*exp(4)+15)*exp(4)/(exp(4)+1)*exp(x^2))/(exp(4)+1)","B"
2687,1,27,23,0.069000," ","int(((45*x^5-540*x^4+405*x^3+12150*x^2-14580*x-87480)*exp(x)-450*x^3+8100*x^2-145800*x+97200)/(x^5-12*x^4+9*x^3+270*x^2-324*x-1944),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3600}{\left(x -6\right)^{2}}-\frac{400}{x -6}+\frac{850}{3+x}+45 \,{\mathrm e}^{x}$&$27$\\ risch&$\frac{450 x^{2}-5400 x +48600}{x^{3}-9 x^{2}+108}+45 \,{\mathrm e}^{x}$&$29$\\ norman&$\frac{450 x^{2}-5400 x -405 \,{\mathrm e}^{x} x^{2}+45 \,{\mathrm e}^{x} x^{3}+4860 \,{\mathrm e}^{x}+48600}{\left(3+x \right) \left(x -6\right)^{2}}$&$40$\\ \hline \end{longtable}"," ",0,"3600/(x-6)^2-400/(x-6)+850/(3+x)+45*exp(x)","A"
2688,1,25,26,0.032000," ","int(((x-2)*exp(-x*exp(4)*ln(2)+5*exp(4)+x)*ln(x)+(-x^3*exp(4)*ln(2)+x^3-x+1)*exp(-x*exp(4)*ln(2)+5*exp(4)+x))*exp((1-x)*ln(x)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{1}{2}\right)^{x \,{\mathrm e}^{4}} {\mathrm e}^{5 \,{\mathrm e}^{4}+x} x^{-\frac{x -1}{x^{2}}}$&$25$\\ \hline \end{longtable}"," ",0,"(1/2)^(x*exp(4))*exp(5*exp(4)+x)*x^(-(x-1)/x^2)","A"
2689,1,23,24,0.102000," ","int(((-2*exp(x)^2+2*x^4-2*x^3)*exp((2*exp(x)^2-x^3)/x/exp(x)^2)+exp(x)^2*x^2)/exp(x)^2/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-\frac{\left(-2 \,{\mathrm e}^{2 x}+x^{3}\right) {\mathrm e}^{-2 x}}{x}}$&$23$\\ norman&$\frac{\left({\mathrm e}^{2 x} x^{2}+x \,{\mathrm e}^{2 x} {\mathrm e}^{\frac{\left(2 \,{\mathrm e}^{2 x}-x^{3}\right) {\mathrm e}^{-2 x}}{x}}\right) {\mathrm e}^{-2 x}}{x}$&$45$\\ \hline \end{longtable}"," ",0,"x+exp(-(-2*exp(2*x)+x^3)/x*exp(-2*x))","A"
2690,1,13,18,0.007000," ","int(4*x^3+6*x^2-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{4}+2 x^{3}-3 x$&$13$\\ default&$x^{4}+2 x^{3}-3 x$&$13$\\ norman&$x^{4}+2 x^{3}-3 x$&$13$\\ risch&$x^{4}+2 x^{3}-3 x$&$13$\\ \hline \end{longtable}"," ",0,"x^4+2*x^3-3*x","A"
2691,1,27,29,0.024000," ","int(1/2*((exp(x)-4)*ln(x)^3-24*x^2*ln(x)^2+(80*x^4+8*x^2)*ln(x)-32*x^4)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x -\frac{4 x^{3}}{\ln \left(x \right)}+\frac{8 x^{5}}{\ln \left(x \right)^{2}}+\frac{{\mathrm e}^{x}}{2}$&$27$\\ risch&$-2 x +\frac{{\mathrm e}^{x}}{2}+\frac{4 x^{3} \left(2 x^{2}-\ln \left(x \right)\right)}{\ln \left(x \right)^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"-2*x-4*x^3/ln(x)+8*x^5/ln(x)^2+1/2*exp(x)","A"
2692,1,15,12,0.070000," ","int(-64*exp(32/(18*x^2*ln(3)-45*x^2))/(18*x^3*ln(3)-45*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{32}{9 x^{2} \left(2 \ln \left(3\right)-5\right)}}$&$15$\\ derivativedivides&${\mathrm e}^{\frac{32}{9 x^{2} \left(2 \ln \left(3\right)-5\right)}}$&$15$\\ default&${\mathrm e}^{\frac{32}{9 x^{2} \left(2 \ln \left(3\right)-5\right)}}$&$15$\\ risch&${\mathrm e}^{\frac{32}{9 x^{2} \left(2 \ln \left(3\right)-5\right)}}$&$15$\\ norman&${\mathrm e}^{\frac{32}{18 x^{2} \ln \left(3\right)-45 x^{2}}}$&$19$\\ \hline \end{longtable}"," ",0,"exp(32/9/x^2/(2*ln(3)-5))","A"
2693,1,32,31,0.451000," ","int(((-2*x^3+15*x^2+20)*ln(5)+2*x^7-5*x^6+16*x^5-49*x^4+22*x^3-164*x^2-160)*exp((-x^3-4*x)/((x-5)*ln(5)+x^5-5*x^4+2*x^3-11*x^2-3*x+40))/((x^2-10*x+25)*ln(5)^2+(2*x^6-20*x^5+54*x^4-42*x^3+104*x^2+110*x-400)*ln(5)+x^10-10*x^9+29*x^8-42*x^7+108*x^6+66*x^5-291*x^4+226*x^3-871*x^2-240*x+1600),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x \left(x^{2}+4\right)}{\left(x -5\right) \left(x^{4}+2 x^{2}+\ln \left(5\right)-x -8\right)}}$&$32$\\ gosper&${\mathrm e}^{-\frac{x \left(x^{2}+4\right)}{x^{5}-5 x^{4}+2 x^{3}+x \ln \left(5\right)-11 x^{2}-5 \ln \left(5\right)-3 x +40}}$&$43$\\ norman&$\frac{x^{5} {\mathrm e}^{\frac{-x^{3}-4 x}{\left(x -5\right) \ln \left(5\right)+x^{5}-5 x^{4}+2 x^{3}-11 x^{2}-3 x +40}}+\left(-5 \ln \left(5\right)+40\right) {\mathrm e}^{\frac{-x^{3}-4 x}{\left(x -5\right) \ln \left(5\right)+x^{5}-5 x^{4}+2 x^{3}-11 x^{2}-3 x +40}}+\left(\ln \left(5\right)-3\right) x \,{\mathrm e}^{\frac{-x^{3}-4 x}{\left(x -5\right) \ln \left(5\right)+x^{5}-5 x^{4}+2 x^{3}-11 x^{2}-3 x +40}}-11 x^{2} {\mathrm e}^{\frac{-x^{3}-4 x}{\left(x -5\right) \ln \left(5\right)+x^{5}-5 x^{4}+2 x^{3}-11 x^{2}-3 x +40}}+2 x^{3} {\mathrm e}^{\frac{-x^{3}-4 x}{\left(x -5\right) \ln \left(5\right)+x^{5}-5 x^{4}+2 x^{3}-11 x^{2}-3 x +40}}-5 x^{4} {\mathrm e}^{\frac{-x^{3}-4 x}{\left(x -5\right) \ln \left(5\right)+x^{5}-5 x^{4}+2 x^{3}-11 x^{2}-3 x +40}}}{\left(x -5\right) \left(x^{4}+2 x^{2}+\ln \left(5\right)-x -8\right)}$&$309$\\ \hline \end{longtable}"," ",0,"exp(-x*(x^2+4)/(x-5)/(x^4+2*x^2+ln(5)-x-8))","A"
2694,1,18,19,0.777000," ","int(((-20*ln(1/2/x)+20)*ln(x)^2+(-80*ln(1/2/x)+80)*ln(x)-80*ln(1/2/x))/(ln(x)^2+8*ln(x)+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{20 \ln \left(x \right) \ln \left(\frac{1}{2 x}\right) x}{\ln \left(x \right)+4}$&$18$\\ risch&$20 x \ln \left(x \right)+20 x \ln \left(2\right)-80 x -\frac{40 x \left(2 \ln \left(2\right)-8\right)}{\ln \left(x \right)+4}$&$30$\\ \hline \end{longtable}"," ",0,"-20/(ln(x)+4)*ln(x)*ln(1/2/x)*x","A"
2695,1,23,25,0.102000," ","int(((-6*x^4-222*x^3-1944*x^2+1344*x+3072)*exp((x^2+32*x+256)/(x^8-4*x^7+4*x^6))*ln(x+1)+(x^10-6*x^9+12*x^8-8*x^7)*exp((x^2+32*x+256)/(x^8-4*x^7+4*x^6))+x^11-5*x^10+6*x^9+4*x^8-8*x^7)/(x^11-5*x^10+6*x^9+4*x^8-8*x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(x +16\right)^{2}}{x^{6} \left(x -2\right)^{2}}} \ln \left(x +1\right)+x$&$23$\\ \hline \end{longtable}"," ",0,"exp((x+16)^2/x^6/(x-2)^2)*ln(x+1)+x","A"
2696,1,22,22,0.442000," ","int(1/2*((-2*x^2-4*x)*exp(1/ln(2)/exp(x^2/(x+1)))+2*(-x^2-2*x-1)*ln(2)*exp(x^2/(x+1)))/(x^2+2*x+1)/ln(2)/exp(x^2/(x+1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{-\frac{x^{2}}{x +1}}}{\ln \left(2\right)}}-x$&$22$\\ norman&$\frac{\left({\mathrm e}^{\frac{x^{2}}{x +1}}+{\mathrm e}^{\frac{x^{2}}{x +1}} {\mathrm e}^{\frac{{\mathrm e}^{-\frac{x^{2}}{x +1}}}{\ln \left(2\right)}}+x \,{\mathrm e}^{\frac{x^{2}}{x +1}} {\mathrm e}^{\frac{{\mathrm e}^{-\frac{x^{2}}{x +1}}}{\ln \left(2\right)}}-x^{2} {\mathrm e}^{\frac{x^{2}}{x +1}}\right) {\mathrm e}^{-\frac{x^{2}}{x +1}}}{x +1}$&$104$\\ \hline \end{longtable}"," ",0,"exp(1/ln(2)*exp(-x^2/(x+1)))-x","A"
2697,1,32,26,0.076000," ","int((((6144*x^2+768*x)*ln(2)+256*x*exp(1/5)+1024*x^3-16*x)*ln(x)*ln(ln(x))+(768*exp(1/5)-3072*x^2-768*x-48)*ln(2)+256*x*exp(1/5)-1024*x^3-256*x^2-16*x)/(256*x*exp(1/5)^2+(-2048*x^3-512*x^2-32*x)*exp(1/5)+4096*x^5+2048*x^4+384*x^3+32*x^2+x)/ln(2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 \left(3 \ln \left(2\right)+x \right) \ln \left(\ln \left(x \right)\right)}{\ln \left(2\right) \left(-64 x^{2}+16 \,{\mathrm e}^{\frac{1}{5}}-16 x -1\right)}$&$32$\\ \hline \end{longtable}"," ",0,"16/ln(2)*(3*ln(2)+x)/(-64*x^2+16*exp(1/5)-16*x-1)*ln(ln(x))","A"
2698,1,21,22,0.116000," ","int((ln(x)-ln(5)+exp(4)+4*exp(3)^2-1)/(ln(x)^2+(-2*ln(5)+2*exp(4)+8*exp(3)^2-2*x)*ln(x)+ln(5)^2+(-2*exp(4)-8*exp(3)^2+2*x)*ln(5)+exp(4)^2+(8*exp(3)^2-2*x)*exp(4)+16*exp(3)^4-8*x*exp(3)^2+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{4 \,{\mathrm e}^{6}+{\mathrm e}^{4}-\ln \left(5\right)-x +\ln \left(x \right)}$&$21$\\ norman&$\frac{\ln \left(x \right)+4 \,{\mathrm e}^{6}-\ln \left(5\right)+{\mathrm e}^{4}}{4 \,{\mathrm e}^{6}+{\mathrm e}^{4}-\ln \left(5\right)-x +\ln \left(x \right)}$&$37$\\ \hline \end{longtable}"," ",0,"x/(4*exp(6)+exp(4)-ln(5)-x+ln(x))","A"
2699,1,40,31,0.234000," ","int(((-8*x^2+80*x-190)*exp(4)*ln(x)^2+((-16*x^3+160*x^2-380*x)*exp(4)-20*x^3+180*x^2-275*x-500)*ln(x)+(-8*x^4+80*x^3-190*x^2)*exp(4)-20*x^4+200*x^3-455*x^2-200*x+500)/((2*x^2-20*x+50)*exp(4)*ln(x)^2+((4*x^3-40*x^2+100*x)*exp(4)+5*x^3-50*x^2+125*x)*ln(x)+(2*x^4-20*x^3+50*x^2)*exp(4)+5*x^4-50*x^3+125*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-4 x^{2}+95}{x -5}+4 \ln \left(x +\ln \left(x \right)\right)-4 \ln \left(2 x \,{\mathrm e}^{4}+2 \,{\mathrm e}^{4} \ln \left(x \right)+5 x \right)$&$40$\\ risch&$-\frac{4 x^{2}-20 x +5}{x -5}+4 \ln \left(x +\ln \left(x \right)\right)-4 \ln \left(\ln \left(x \right)+\frac{\left(2 \,{\mathrm e}^{4}+5\right) x \,{\mathrm e}^{-4}}{2}\right)$&$43$\\ \hline \end{longtable}"," ",0,"(-4*x^2+95)/(x-5)+4*ln(x+ln(x))-4*ln(2*x*exp(4)+2*exp(4)*ln(x)+5*x)","A"
2700,1,33,20,0.043000," ","int((-30*x*ln(x)-2*x^4-23*x^3-114*x^2+21*x-90)/(3*x^4+27*x^3+81*x^2+81*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-10 \ln \left(x \right)+23 x -10 x \ln \left(x \right)-\frac{5 x^{2} \ln \left(x \right)}{3}-\frac{2 x^{3}}{3}+11}{\left(3+x \right)^{2}}$&$33$\\ default&$\frac{5}{3+x}-\frac{5 \ln \left(x \right) x \left(x +6\right)}{9 \left(3+x \right)^{2}}-\frac{2 x}{3}-\frac{10 \ln \left(x \right)}{9}-\frac{40}{\left(3+x \right)^{2}}$&$36$\\ risch&$\frac{5 \ln \left(x \right)}{x^{2}+6 x +9}-\frac{5 x^{2} \ln \left(x \right)+2 x^{3}+30 x \ln \left(x \right)+12 x^{2}+45 \ln \left(x \right)+3 x +75}{3 \left(x^{2}+6 x +9\right)}$&$59$\\ \hline \end{longtable}"," ",0,"(-10*ln(x)+23*x-10*x*ln(x)-5/3*x^2*ln(x)-2/3*x^3+11)/(3+x)^2","A"
2701,1,15,14,0.431000," ","int(8*exp(3)*ln(2)/(ln(2)^2+16*x*ln(2)+64*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{\ln \left(2\right) {\mathrm e}^{3}}{\ln \left(2\right)+8 x}$&$15$\\ default&$-\frac{\ln \left(2\right) {\mathrm e}^{3}}{\ln \left(2\right)+8 x}$&$15$\\ norman&$-\frac{\ln \left(2\right) {\mathrm e}^{3}}{\ln \left(2\right)+8 x}$&$15$\\ risch&$-\frac{\ln \left(2\right) {\mathrm e}^{3}}{\ln \left(2\right)+8 x}$&$15$\\ meijerg&$\frac{8 \,{\mathrm e}^{3} x}{\ln \left(2\right) \left(1+\frac{8 x}{\ln \left(2\right)}\right)}$&$21$\\ \hline \end{longtable}"," ",0,"-ln(2)*exp(3)/(ln(2)+8*x)","A"
2702,1,27,29,0.119000," ","int(((2*x*exp(5)*exp(x/exp(5))-2*x*exp(5))*ln(x)*ln(5*x)+(2*x*exp(5)*exp(x/exp(5))-2*x*exp(5))*ln(x)^2+((2*x*exp(5)+x^2)*exp(x/exp(5))-2*x*exp(5))*ln(x)-x*exp(5)*exp(x/exp(5))+x*exp(5))*exp(ln(x)*ln(5*x)-3)^2/exp(5)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} \left({\mathrm e}^{{\mathrm e}^{-5} x}-1\right) x^{2 \ln \left(5 x \right)} {\mathrm e}^{-6}}{\ln \left(x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"x^2*(exp(exp(-5)*x)-1)/ln(x)*(x^(ln(5)+ln(x)))^2*exp(-6)","A"
2703,1,107,19,0.074000," ","int(2*x*ln(x)^2+1/9*((36*x+18)*ln(3)*exp(x)^2+(36*x+36)*ln(3)*exp(x)+18*ln(3)-30*x)*ln(x)+4*ln(3)^2*exp(x)^4+12*ln(3)^2*exp(x)^3+1/9*(108*ln(3)^2+(-48*x-6)*ln(3))*exp(x)^2+1/9*(36*ln(3)^2+(-48*x-12)*ln(3))*exp(x)-2/3*ln(3)+8/9*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{16 x^{2}}{9}+x^{2} \ln \left(x \right)^{2}-\frac{8 x^{2} \ln \left(x \right)}{3}+4 \ln \left(3\right)^{2} {\mathrm e}^{x}-\frac{16 x \ln \left(3\right) {\mathrm e}^{x}}{3}+6 \ln \left(3\right)^{2} {\mathrm e}^{2 x}-\frac{8 \ln \left(3\right) {\mathrm e}^{2 x} x}{3}+2 x \ln \left(3\right) \ln \left(x \right)-\frac{8 x \ln \left(3\right)}{3}+4 x \ln \left(3\right) {\mathrm e}^{x} \ln \left(x \right)+2 \ln \left(x \right) {\mathrm e}^{2 x} \ln \left(3\right) x +4 \ln \left(3\right)^{2} {\mathrm e}^{3 x}+\ln \left(3\right)^{2} {\mathrm e}^{4 x}$&$107$\\ risch&$\frac{16 x^{2}}{9}+x^{2} \ln \left(x \right)^{2}-\frac{8 x^{2} \ln \left(x \right)}{3}+4 \ln \left(3\right)^{2} {\mathrm e}^{x}-\frac{16 x \ln \left(3\right) {\mathrm e}^{x}}{3}+6 \ln \left(3\right)^{2} {\mathrm e}^{2 x}-\frac{8 \ln \left(3\right) {\mathrm e}^{2 x} x}{3}+2 x \ln \left(3\right) \ln \left(x \right)-\frac{8 x \ln \left(3\right)}{3}+4 x \ln \left(3\right) {\mathrm e}^{x} \ln \left(x \right)+2 \ln \left(x \right) {\mathrm e}^{2 x} \ln \left(3\right) x +4 \ln \left(3\right)^{2} {\mathrm e}^{3 x}+\ln \left(3\right)^{2} {\mathrm e}^{4 x}$&$107$\\ \hline \end{longtable}"," ",0,"16/9*x^2+x^2*ln(x)^2-8/3*x^2*ln(x)+4*ln(3)^2*exp(x)-16/3*x*ln(3)*exp(x)+6*ln(3)^2*exp(x)^2-8/3*ln(3)*exp(x)^2*x+2*x*ln(3)*ln(x)-8/3*x*ln(3)+4*x*ln(3)*exp(x)*ln(x)+2*ln(x)*exp(x)^2*ln(3)*x+4*ln(3)^2*exp(x)^3+ln(3)^2*exp(x)^4","B"
2704,0,0,18,0.021000," ","int(2*exp(-2/5*ln(x)-2)/(5*x*exp(-2/5*ln(x)-2)-20*x)/ln(-exp(-2/5*ln(x)-2)+4),x)","\[\int \frac{2 \,{\mathrm e}^{-\frac{2 \ln \left(x \right)}{5}-2}}{\left(5 x \,{\mathrm e}^{-\frac{2 \ln \left(x \right)}{5}-2}-20 x \right) \ln \left(-{\mathrm e}^{-\frac{2 \ln \left(x \right)}{5}-2}+4\right)}\, dx\]"," ",0,"int(2*exp(-2/5*ln(x)-2)/(5*x*exp(-2/5*ln(x)-2)-20*x)/ln(-exp(-2/5*ln(x)-2)+4),x)","F"
2705,1,62,26,0.111000," ","int(((-4*x^2*exp(x-1)^2+(-8*x^3-8*x^2)*exp(x-1)-16*x^3)*exp(exp(x-1)^2+4*x*exp(x-1)+4*x^2)^2+(-4*x^3*exp(x-1)^2+(-8*x^4-8*x^3)*exp(x-1)-16*x^4-2*x^2)*exp(exp(x-1)^2+4*x*exp(x-1)+4*x^2)-ln(x)^2+2*ln(x)-2*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{2}}{x}-x^{2}-{\mathrm e}^{2 \,{\mathrm e}^{2 x -2}+8 x \,{\mathrm e}^{x -1}+8 x^{2}}-2 x \,{\mathrm e}^{{\mathrm e}^{2 x -2}+4 x \,{\mathrm e}^{x -1}+4 x^{2}}$&$62$\\ \hline \end{longtable}"," ",0,"ln(x)^2/x-x^2-exp(2*exp(2*x-2)+8*x*exp(x-1)+8*x^2)-2*x*exp(exp(2*x-2)+4*x*exp(x-1)+4*x^2)","B"
2706,1,16,15,0.116000," ","int(((-2*x-10)*exp(3)+x^3+3*x^2-197*x-999)*exp((exp(3)+100)/(x^2+2*x+1))/(x^3+3*x^2+3*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{3}+100}{\left(x +1\right)^{2}}} \left(5+x \right)$&$16$\\ gosper&$\left(5+x \right) {\mathrm e}^{\frac{{\mathrm e}^{3}+100}{x^{2}+2 x +1}}$&$21$\\ norman&$\frac{x^{3} {\mathrm e}^{\frac{{\mathrm e}^{3}+100}{x^{2}+2 x +1}}+11 x \,{\mathrm e}^{\frac{{\mathrm e}^{3}+100}{x^{2}+2 x +1}}+7 x^{2} {\mathrm e}^{\frac{{\mathrm e}^{3}+100}{x^{2}+2 x +1}}+5 \,{\mathrm e}^{\frac{{\mathrm e}^{3}+100}{x^{2}+2 x +1}}}{\left(x +1\right)^{2}}$&$86$\\ derivativedivides&$\left(x +1\right) {\mathrm e}^{\frac{{\mathrm e}^{3}+100}{\left(x +1\right)^{2}}}+i \sqrt{{\mathrm e}^{3}+100}\, \sqrt{\pi}\, \erf \left(\frac{i \sqrt{{\mathrm e}^{3}+100}}{x +1}\right)-\frac{100 i \sqrt{\pi}\, \erf \left(\frac{i \sqrt{{\mathrm e}^{3}+100}}{x +1}\right)}{\sqrt{{\mathrm e}^{3}+100}}+\frac{400 \,{\mathrm e}^{\frac{{\mathrm e}^{3}+100}{\left(x +1\right)^{2}}}}{{\mathrm e}^{3}+100}-\frac{i \sqrt{\pi}\, {\mathrm e}^{3} \erf \left(\frac{i \sqrt{{\mathrm e}^{3}+100}}{x +1}\right)}{\sqrt{{\mathrm e}^{3}+100}}+\frac{4 \,{\mathrm e}^{3+\frac{{\mathrm e}^{3}+100}{\left(x +1\right)^{2}}}}{{\mathrm e}^{3}+100}$&$140$\\ default&$\left(x +1\right) {\mathrm e}^{\frac{{\mathrm e}^{3}+100}{\left(x +1\right)^{2}}}+i \sqrt{{\mathrm e}^{3}+100}\, \sqrt{\pi}\, \erf \left(\frac{i \sqrt{{\mathrm e}^{3}+100}}{x +1}\right)-\frac{100 i \sqrt{\pi}\, \erf \left(\frac{i \sqrt{{\mathrm e}^{3}+100}}{x +1}\right)}{\sqrt{{\mathrm e}^{3}+100}}+\frac{400 \,{\mathrm e}^{\frac{{\mathrm e}^{3}+100}{\left(x +1\right)^{2}}}}{{\mathrm e}^{3}+100}-\frac{i \sqrt{\pi}\, {\mathrm e}^{3} \erf \left(\frac{i \sqrt{{\mathrm e}^{3}+100}}{x +1}\right)}{\sqrt{{\mathrm e}^{3}+100}}+\frac{4 \,{\mathrm e}^{3+\frac{{\mathrm e}^{3}+100}{\left(x +1\right)^{2}}}}{{\mathrm e}^{3}+100}$&$140$\\ \hline \end{longtable}"," ",0,"exp((exp(3)+100)/(x+1)^2)*(5+x)","A"
2707,1,28,20,0.013000," ","int((-9*x^4*ln(x)^2-6*x^4*ln(x)+2*x^3-4*x^2-48)*exp((-3*x^4*ln(x)^2+x^3-4*x^2+48)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{3 x^{4} \ln \left(x \right)^{2}-x^{3}+4 x^{2}-48}{x}}$&$28$\\ \hline \end{longtable}"," ",0,"exp(-(3*x^4*ln(x)^2-x^3+4*x^2-48)/x)","A"
2708,1,69,25,0.051000," ","int(((-x*exp(x)^3+(4*x^2+4*x)*exp(x)^2+(-4*x^3-7*x^2-5*x)*exp(x)+2*x)*ln(x)^2+(-4*x*exp(x)^3+(16*x^2+16*x)*exp(x)^2+(-16*x^3-28*x^2-20*x)*exp(x)+8*x)*ln(x)-4*exp(x)^3+(16*x+16)*exp(x)^2+(-16*x^2-36*x-16)*exp(x)+8*x^2+8*x)/(x*exp(x)^4+(-4*x^2-4*x)*exp(x)^3+(4*x^3+10*x^2+4*x)*exp(x)^2+(-4*x^3-4*x^2)*exp(x)+x^3)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{-{\mathrm e}^{x}+2 x +2}{2 \,{\mathrm e}^{x} x -{\mathrm e}^{2 x}-x +2 \,{\mathrm e}^{x}}+\frac{-4 \,{\mathrm e}^{x}+8 x +8}{\left(2 \,{\mathrm e}^{x} x -{\mathrm e}^{2 x}-x +2 \,{\mathrm e}^{x}\right) \ln \left(x \right)}$&$69$\\ \hline \end{longtable}"," ",0,"(-exp(x)+2*x+2)/(2*exp(x)*x-exp(2*x)-x+2*exp(x))+4*(-exp(x)+2*x+2)/(2*exp(x)*x-exp(2*x)-x+2*exp(x))/ln(x)","B"
2709,1,190,20,0.145000," ","int(((-4*x-2)*ln(x^2)^2+4*ln(x^2))/(x^3*ln(2)^2-4*x^3*ln(2)+4*x^3)/exp(x)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-4 x} \ln \left(x \right)^{2}}{x^{2} \left(\ln \left(2\right)^{2}-4 \ln \left(2\right)+4\right)}-\frac{2 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(\mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{2}\right) {\mathrm e}^{-4 x} \ln \left(x \right)}{x^{2} \left(\ln \left(2\right)^{2}-4 \ln \left(2\right)+4\right)}-\frac{\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \left(\mathrm{csgn}\left(i x \right)^{4}-4 \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)+6 \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{2}-4 \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{3}+\mathrm{csgn}\left(i x^{2}\right)^{4}\right) {\mathrm e}^{-4 x}}{4 x^{2} \left(\ln \left(2\right)^{2}-4 \ln \left(2\right)+4\right)}$&$190$\\ \hline \end{longtable}"," ",0,"4/x^2/(ln(2)^2-4*ln(2)+4)*exp(-4*x)*ln(x)^2-2*I*Pi*csgn(I*x^2)*(csgn(I*x)^2-2*csgn(I*x^2)*csgn(I*x)+csgn(I*x^2)^2)/x^2/(ln(2)^2-4*ln(2)+4)*exp(-4*x)*ln(x)-1/4*Pi^2*csgn(I*x^2)^2*(csgn(I*x)^4-4*csgn(I*x)^3*csgn(I*x^2)+6*csgn(I*x)^2*csgn(I*x^2)^2-4*csgn(I*x)*csgn(I*x^2)^3+csgn(I*x^2)^4)/x^2/(ln(2)^2-4*ln(2)+4)*exp(-4*x)","C"
2710,1,16,19,0.066000," ","int((-2*exp(2)*exp(2*exp(2)*ln(1/x))+2*x*exp(x)^2-2*exp(x)*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x}-2 \,{\mathrm e}^{x}+x^{-2 \,{\mathrm e}^{2}}$&$16$\\ derivativedivides&${\mathrm e}^{2 x}+{\mathrm e}^{2 \,{\mathrm e}^{2} \ln \left(\frac{1}{x}\right)}-2 \,{\mathrm e}^{x}$&$19$\\ default&${\mathrm e}^{2 x}+{\mathrm e}^{2 \,{\mathrm e}^{2} \ln \left(\frac{1}{x}\right)}-2 \,{\mathrm e}^{x}$&$19$\\ norman&${\mathrm e}^{2 x}+{\mathrm e}^{2 \,{\mathrm e}^{2} \ln \left(\frac{1}{x}\right)}-2 \,{\mathrm e}^{x}$&$19$\\ \hline \end{longtable}"," ",0,"exp(2*x)-2*exp(x)+x^(-2*exp(2))","A"
2711,1,23,22,0.104000," ","int((((2+x)*exp(-1/4*x^2-x+1/4)+2)*exp(exp(-1/4*x^2-x+1/4)-5)+6)/(2*exp(exp(-1/4*x^2-x+1/4)-5)+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -5-\ln \left({\mathrm e}^{{\mathrm e}^{-\frac{1}{4} x^{2}-x +\frac{1}{4}}-5}+3\right)$&$23$\\ norman&$x -\ln \left(2 \,{\mathrm e}^{{\mathrm e}^{-\frac{1}{4} x^{2}-x +\frac{1}{4}}-5}+6\right)$&$24$\\ \hline \end{longtable}"," ",0,"x-5-ln(exp(exp(-1/4*x^2-x+1/4)-5)+3)","A"
2712,1,16,11,0.066000," ","int(1/45*(-4*x-1)*exp((30*x+1)/x)/x^6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{\frac{30 x +1}{x}}}{45 x^{4}}$&$16$\\ norman&$\frac{{\mathrm e}^{\frac{30 x +1}{x}}}{45 x^{4}}$&$16$\\ risch&$\frac{{\mathrm e}^{\frac{30 x +1}{x}}}{45 x^{4}}$&$16$\\ meijerg&$-\frac{{\mathrm e}^{30} \left(24-\frac{\left(\frac{5}{x^{4}}-\frac{20}{x^{3}}+\frac{60}{x^{2}}-\frac{120}{x}+120\right) {\mathrm e}^{\frac{1}{x}}}{5}\right)}{45}+\frac{4 \,{\mathrm e}^{30} \left(6-\frac{\left(-\frac{4}{x^{3}}+\frac{12}{x^{2}}-\frac{24}{x}+24\right) {\mathrm e}^{\frac{1}{x}}}{4}\right)}{45}$&$65$\\ derivativedivides&$-2400 \,{\mathrm e}^{30+\frac{1}{x}} \left(30+\frac{1}{x}\right)+120 \,{\mathrm e}^{30+\frac{1}{x}} \left(30+\frac{1}{x}\right)^{2}-\frac{8 \,{\mathrm e}^{30+\frac{1}{x}} \left(30+\frac{1}{x}\right)^{3}}{3}+\frac{{\mathrm e}^{30+\frac{1}{x}} \left(30+\frac{1}{x}\right)^{4}}{45}+18000 \,{\mathrm e}^{30+\frac{1}{x}}$&$68$\\ default&$-2400 \,{\mathrm e}^{30+\frac{1}{x}} \left(30+\frac{1}{x}\right)+120 \,{\mathrm e}^{30+\frac{1}{x}} \left(30+\frac{1}{x}\right)^{2}-\frac{8 \,{\mathrm e}^{30+\frac{1}{x}} \left(30+\frac{1}{x}\right)^{3}}{3}+\frac{{\mathrm e}^{30+\frac{1}{x}} \left(30+\frac{1}{x}\right)^{4}}{45}+18000 \,{\mathrm e}^{30+\frac{1}{x}}$&$68$\\ \hline \end{longtable}"," ",0,"1/45*exp((30*x+1)/x)/x^4","A"
2713,1,14,16,0.012000," ","int((4*x^3+1)*exp(x^4+x+16)-8*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x^{4}+x +16}-4 x^{2}$&$14$\\ norman&${\mathrm e}^{x^{4}+x +16}-4 x^{2}$&$14$\\ risch&${\mathrm e}^{x^{4}+x +16}-4 x^{2}$&$14$\\ \hline \end{longtable}"," ",0,"exp(x^4+x+16)-4*x^2","A"
2714,1,6,21,0.007000," ","int(15/4/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{15}{4 x}$&$6$\\ default&$-\frac{15}{4 x}$&$6$\\ norman&$-\frac{15}{4 x}$&$6$\\ risch&$-\frac{15}{4 x}$&$6$\\ \hline \end{longtable}"," ",0,"-15/4/x","A"
2715,1,14,16,0.015000," ","int((4*x^2+2*x-2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x^{2}-2 \ln \left(x \right)+2 x$&$14$\\ norman&$2 x^{2}-2 \ln \left(x \right)+2 x$&$14$\\ risch&$2 x^{2}-2 \ln \left(x \right)+2 x$&$14$\\ \hline \end{longtable}"," ",0,"2*x^2-2*ln(x)+2*x","A"
2716,1,18,28,0.024000," ","int((2*x^5-x^2-12*x+9)/(x^6+x^3+6*x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x^{5}+x^{2}+6 x -3\right)-3 \ln \left(x \right)$&$18$\\ norman&$\ln \left(x^{5}+x^{2}+6 x -3\right)-3 \ln \left(x \right)$&$18$\\ risch&$\ln \left(x^{5}+x^{2}+6 x -3\right)-3 \ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"ln(x^5+x^2+6*x-3)-3*ln(x)","A"
2717,1,37,29,0.404000," ","int(((((4*x^3-12*x^2+2*x)*exp(x^2)+2)*ln(x)+2)*exp((x-3)*exp(x^2))*exp(exp(ln(2)^2))-2*x*exp((x-3)*exp(x^2))^2)/(exp(exp(ln(2)^2))^2-2*x*exp((x-3)*exp(x^2))*exp(exp(ln(2)^2))+x^2*exp((x-3)*exp(x^2))^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(x \right)+\frac{2 \,{\mathrm e}^{{\mathrm e}^{\ln \left(2\right)^{2}}} \ln \left(x \right)}{-x \,{\mathrm e}^{\left(x -3\right) {\mathrm e}^{x^{2}}}+{\mathrm e}^{{\mathrm e}^{\ln \left(2\right)^{2}}}}$&$37$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+2*exp(exp(ln(2)^2))*ln(x)/(-x*exp((x-3)*exp(x^2))+exp(exp(ln(2)^2)))","A"
2718,1,19,19,0.114000," ","int((-3*x*exp(exp(4))+3)*exp((-x+4)*exp(exp(4))+4)*exp(3*x*exp((-x+4)*exp(exp(4))+4))+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +{\mathrm e}^{3 x \,{\mathrm e}^{\left(-x +4\right) {\mathrm e}^{{\mathrm e}^{4}}+4}}$&$19$\\ norman&$x +{\mathrm e}^{3 x \,{\mathrm e}^{\left(-x +4\right) {\mathrm e}^{{\mathrm e}^{4}}+4}}$&$19$\\ risch&$x +{\mathrm e}^{3 x \,{\mathrm e}^{-x \,{\mathrm e}^{{\mathrm e}^{4}}+4 \,{\mathrm e}^{{\mathrm e}^{4}}+4}}$&$21$\\ \hline \end{longtable}"," ",0,"x+exp(3*x*exp((-x+4)*exp(exp(4))+4))","A"
2719,1,24,20,0.039000," ","int(-ln(x^2+2*x+1)*exp((-x-1)*ln(x^2+2*x+1)+2*x)+5/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x}{3}+\left(x^{2}+2 x +1\right)^{-x -1} {\mathrm e}^{2 x}$&$24$\\ default&$\frac{5 x}{3}+{\mathrm e}^{\left(-x -1\right) \ln \left(x^{2}+2 x +1\right)+2 x}$&$25$\\ norman&$\frac{5 x}{3}+{\mathrm e}^{\left(-x -1\right) \ln \left(x^{2}+2 x +1\right)+2 x}$&$25$\\ \hline \end{longtable}"," ",0,"5/3*x+(x^2+2*x+1)^(-x-1)*exp(2*x)","A"
2720,1,22,25,0.100000," ","int(1/3*(-8*x^3+36*x)*exp(exp(3)-3)^2*exp(1/3*(-2*x^4+18*x^2)*exp(exp(3)-3)^2)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 x^{2} \left(x -3\right) \left(3+x \right) {\mathrm e}^{2 \,{\mathrm e}^{3}-6}}{3}}+x$&$22$\\ default&$x +{\mathrm e}^{\frac{\left(-2 x^{4}+18 x^{2}\right) {\mathrm e}^{2 \,{\mathrm e}^{3}-6}}{3}}$&$24$\\ norman&$x +{\mathrm e}^{\frac{\left(-2 x^{4}+18 x^{2}\right) {\mathrm e}^{2 \,{\mathrm e}^{3}-6}}{3}}$&$24$\\ \hline \end{longtable}"," ",0,"exp(-2/3*x^2*(x-3)*(3+x)*exp(2*exp(3)-6))+x","A"
2721,1,23,28,0.027000," ","int((3660*x^3-10980*x^2+10836*x-3300)*ln(3)/(25*x^3-75*x^2+75*x-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{12 \ln \left(3\right) \left(305 x +\frac{12}{x -1}-\frac{9}{\left(x -1\right)^{2}}\right)}{25}$&$23$\\ norman&$\frac{-\frac{10836 x \ln \left(3\right)}{25}+\frac{732 x^{3} \ln \left(3\right)}{5}+\frac{7068 \ln \left(3\right)}{25}}{\left(x -1\right)^{2}}$&$24$\\ gosper&$\frac{12 \left(305 x^{3}-903 x +589\right) \ln \left(3\right)}{25 \left(x^{2}-2 x +1\right)}$&$25$\\ risch&$\frac{732 x \ln \left(3\right)}{5}+\frac{\ln \left(3\right) \left(\frac{144 x}{25}-\frac{252}{25}\right)}{x^{2}-2 x +1}$&$25$\\ \hline \end{longtable}"," ",0,"12/25*ln(3)*(305*x+12/(x-1)-9/(x-1)^2)","A"
2722,1,30,26,0.042000," ","int(((-6*x^3-18*x^2-12*x)*ln(x+1)+8*x^4+6*x^3-6*x^2)/((64*x^7+448*x^6+960*x^5+576*x^4)*ln(x+1)^2+(-128*x^8-512*x^7-384*x^6-16*x^4-64*x^3-48*x^2)*ln(x+1)+64*x^9+64*x^8+16*x^5+16*x^4+x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{4 \left(8 x^{4}-8 \ln \left(x +1\right) x^{3}-24 \ln \left(x +1\right) x^{2}+1\right)}$&$30$\\ \hline \end{longtable}"," ",0,"-1/4/(8*x^4-8*ln(x+1)*x^3-24*ln(x+1)*x^2+1)","A"
2723,1,44,26,0.058000," ","int(((((-48*x^2-80)*exp(x)^4+(32*x^3-96*x^2)*exp(x)^3+(32*x^3-48*x^2)*exp(x)^2)*ln(x)+(-48*x^2-80)*exp(x)^4+(32*x^3-96*x^2)*exp(x)^3+(32*x^3-48*x^2)*exp(x)^2)*ln(ln(x)+1)+(-16*x^2-80)*exp(x)^4-32*x^2*exp(x)^3-16*exp(x)^2*x^2)/(((x^6+10*x^4+25*x^2)*exp(x)^4+(4*x^6+20*x^4)*exp(x)^3+(6*x^6+10*x^4)*exp(x)^2+4*x^6*exp(x)+x^6)*ln(x)+(x^6+10*x^4+25*x^2)*exp(x)^4+(4*x^6+20*x^4)*exp(x)^3+(6*x^6+10*x^4)*exp(x)^2+4*x^6*exp(x)+x^6)/ln(ln(x)+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x} x^{2}+2 \,{\mathrm e}^{x} x^{2}+x^{2}+5 \,{\mathrm e}^{2 x}\right) x \ln \left(\ln \left(x \right)+1\right)}$&$44$\\ \hline \end{longtable}"," ",0,"16*exp(2*x)/(exp(2*x)*x^2+2*exp(x)*x^2+x^2+5*exp(2*x))/x/ln(ln(x)+1)","A"
2724,1,31,30,0.217000," ","int((((x^4-6*x^3+11*x^2-12*x+18)*exp((-x^2+2)/x)+5*x^4-30*x^3+42*x^2)*exp(x)-x^5+7*x^4-15*x^3+9*x^2)/(x^4-6*x^3+9*x^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x +\frac{3}{x -3}+x \,{\mathrm e}^{-x}-{\mathrm e}^{-\frac{x^{2}-2}{x}}$&$31$\\ norman&$\frac{\left(x^{3}-42 \,{\mathrm e}^{x} x -3 x^{2}+5 \,{\mathrm e}^{x} x^{3}+3 \,{\mathrm e}^{x} x \,{\mathrm e}^{\frac{-x^{2}+2}{x}}-{\mathrm e}^{x} x^{2} {\mathrm e}^{\frac{-x^{2}+2}{x}}\right) {\mathrm e}^{-x}}{x \left(x -3\right)}$&$71$\\ \hline \end{longtable}"," ",0,"5*x+3/(x-3)+x*exp(-x)-exp(-(x^2-2)/x)","A"
2725,1,28,32,0.093000," ","int((((-125*x^2-100*x-20)*ln(2)-125*x^4-100*x^3-20*x^2)*ln(ln(2)+x^2)^2+(-3*ln(2)-3*x^2)*ln(ln(2)+x^2)-110*x^3-94*x^2-20*x)/((125*x^2+100*x+20)*ln(2)+125*x^4+100*x^3+20*x^2)/ln(ln(2)+x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{11 x +5}{5 \left(5 x +2\right) \ln \left(\ln \left(2\right)+x^{2}\right)}$&$28$\\ norman&$\frac{1+\frac{4 \ln \left(\ln \left(2\right)+x^{2}\right)}{5}+\frac{11 x}{5}-5 \ln \left(\ln \left(2\right)+x^{2}\right) x^{2}}{\left(5 x +2\right) \ln \left(\ln \left(2\right)+x^{2}\right)}$&$44$\\ \hline \end{longtable}"," ",0,"-x+1/5*(11*x+5)/(5*x+2)/ln(ln(2)+x^2)","A"
2726,1,93,30,0.056000," ","int(((4*x-4)*ln(x)^3+((12*x-12)*exp(5)-8*x^2+12*x)*ln(x)^2+((12*x-12)*exp(5)^2+(-16*x^2+24*x)*exp(5)-8*x^2+12*x-12)*ln(x)+(4*x-4)*exp(5)^3+(-8*x^2+12*x)*exp(5)^2+(-8*x^2+12*x-12)*exp(5)+12*x)/(x*ln(x)^4+(4*x*exp(5)-4*x^2)*ln(x)^3+(6*x*exp(5)^2-12*x^2*exp(5)+4*x^3+6*x)*ln(x)^2+(4*x*exp(5)^3-12*x^2*exp(5)^2+(8*x^3+12*x)*exp(5)-12*x^2)*ln(x)+x*exp(5)^4-4*x^2*exp(5)^3+(4*x^3+6*x)*exp(5)^2-12*x^2*exp(5)+10*x)/ln(ln(x)^4+(4*exp(5)-4*x)*ln(x)^3+(6*exp(5)^2-12*x*exp(5)+4*x^2+6)*ln(x)^2+(4*exp(5)^3-12*x*exp(5)^2+(8*x^2+12)*exp(5)-12*x)*ln(x)+exp(5)^4-4*x*exp(5)^3+(4*x^2+6)*exp(5)^2-12*x*exp(5)+10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\ln \left(\ln \left(x \right)^{4}+\left(4 \,{\mathrm e}^{5}-4 x \right) \ln \left(x \right)^{3}+\left(6 \,{\mathrm e}^{10}-12 x \,{\mathrm e}^{5}+4 x^{2}+6\right) \ln \left(x \right)^{2}+\left(4 \,{\mathrm e}^{15}-12 x \,{\mathrm e}^{10}+\left(8 x^{2}+12\right) {\mathrm e}^{5}-12 x \right) \ln \left(x \right)+{\mathrm e}^{20}-4 x \,{\mathrm e}^{15}+\left(4 x^{2}+6\right) {\mathrm e}^{10}-12 x \,{\mathrm e}^{5}+10\right)\right)$&$93$\\ \hline \end{longtable}"," ",0,"-ln(ln(ln(x)^4+(4*exp(5)-4*x)*ln(x)^3+(6*exp(10)-12*x*exp(5)+4*x^2+6)*ln(x)^2+(4*exp(15)-12*x*exp(10)+(8*x^2+12)*exp(5)-12*x)*ln(x)+exp(20)-4*x*exp(15)+(4*x^2+6)*exp(10)-12*x*exp(5)+10))","B"
2727,1,26,25,0.076000," ","int(((2*exp(x)*x-2*exp(1))*exp((-exp(x)+2*exp(1))/exp(1))+(2*x+2)*exp(1)*exp(x)+4*x*exp(1))/(x^3*exp(1)*exp((-exp(x)+2*exp(1))/exp(1))^3+(-3*x^3*exp(1)*exp(x)-3*x^4*exp(1))*exp((-exp(x)+2*exp(1))/exp(1))^2+(3*x^3*exp(1)*exp(x)^2+6*x^4*exp(1)*exp(x)+3*x^5*exp(1))*exp((-exp(x)+2*exp(1))/exp(1))-x^3*exp(1)*exp(x)^3-3*x^4*exp(1)*exp(x)^2-3*x^5*exp(1)*exp(x)-x^6*exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x^{2} \left({\mathrm e}^{x}-{\mathrm e}^{\left(-{\mathrm e}^{x}+2 \,{\mathrm e}\right) {\mathrm e}^{-1}}+x \right)^{2}}$&$26$\\ \hline \end{longtable}"," ",0,"1/x^2/(exp(x)-exp((-exp(x)+2*exp(1))*exp(-1))+x)^2","A"
2728,1,51,23,0.040000," ","int(1/2*(2*x^2*ln(x)+((20*x-10)*exp(1)+20*x^2)*exp(x)^2+(3*x^2+2*x)*exp(1)+6*x^3+4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(x \right)+\frac{2 x \,{\mathrm e} \ln \left(x \right)+3 x^{2} {\mathrm e}+10 \,{\mathrm e}^{2 x +1}+3 x^{3}+10 x \,{\mathrm e}^{2 x}+2 x^{2}}{2 x}$&$51$\\ default&$\frac{3 x^{2}}{2}+\frac{3 x \,{\mathrm e}}{2}+x +{\mathrm e} \ln \left(x \right)+5 \,{\mathrm e}^{2 x}-5 \,{\mathrm e} \left(-\frac{{\mathrm e}^{2 x}}{x}-2 \expIntegralEi \left(1, -2 x \right)\right)-10 \,{\mathrm e} \expIntegralEi \left(1, -2 x \right)+x \ln \left(x \right)$&$58$\\ \hline \end{longtable}"," ",0,"x*ln(x)+1/2*(2*x*exp(1)*ln(x)+3*x^2*exp(1)+10*exp(2*x+1)+3*x^3+10*x*exp(2*x)+2*x^2)/x","B"
2729,1,60,28,1.768000," ","int(((-10*ln(4/x^2)-20)*ln(exp(1)-5)^4+(-40*x*ln(4/x^2)-80*x)*ln(exp(1)-5)^3+((-60*x^2-20*x)*ln(4/x^2)-120*x^2-48*x)*ln(exp(1)-5)^2+((-40*x^3-48*x^2)*ln(4/x^2)-80*x^3-96*x^2)*ln(exp(1)-5)+(-10*x^4-28*x^3-14*x^2)*ln(4/x^2)-20*x^4-48*x^3-28*x^2)/(5*x^2*ln(exp(1)-5)^4+20*x^3*ln(exp(1)-5)^3+(30*x^4+10*x^3)*ln(exp(1)-5)^2+(20*x^5+20*x^4)*ln(exp(1)-5)+5*x^6+10*x^5+5*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \left(5 \ln \left({\mathrm e}-5\right)^{2}+10 x \ln \left({\mathrm e}-5\right)+5 x^{2}+7 x \right) \ln \left(\frac{4}{x^{2}}\right)}{5 \left(\ln \left({\mathrm e}-5\right)^{2}+2 x \ln \left({\mathrm e}-5\right)+x^{2}+x \right) x}$&$60$\\ norman&$\frac{2 x^{2} \ln \left(\frac{4}{x^{2}}\right)+\left(\frac{14}{5}+4 \ln \left({\mathrm e}-5\right)\right) x \ln \left(\frac{4}{x^{2}}\right)+2 \ln \left({\mathrm e}-5\right)^{2} \ln \left(\frac{4}{x^{2}}\right)}{x \left(\ln \left({\mathrm e}-5\right)^{2}+2 x \ln \left({\mathrm e}-5\right)+x^{2}+x \right)}$&$71$\\ \hline \end{longtable}"," ",0,"2/5*(5*ln(exp(1)-5)^2+10*x*ln(exp(1)-5)+5*x^2+7*x)/(ln(exp(1)-5)^2+2*x*ln(exp(1)-5)+x^2+x)/x*ln(4/x^2)","B"
2730,1,26,26,0.084000," ","int(((((x-4)*ln(5)-x^2+29*x-100)*ln(2-1/2*x)+(-2*x+8)*ln(5)+2*x^2-58*x+200)*ln(ln(5)-x+25)+((-x^2+3*x+4)*ln(2-1/2*x)+2*x^2-6*x-8)*ln(x+1)+(-5*x-5)*ln(5)+5*x^2-120*x-125)*exp(1/5*ln(x+1)*ln(ln(5)-x+25))/(((5*x^2-15*x-20)*ln(5)-5*x^3+140*x^2-355*x-500)*ln(2-1/2*x)^2+((-20*x^2+60*x+80)*ln(5)+20*x^3-560*x^2+1420*x+2000)*ln(2-1/2*x)+(20*x^2-60*x-80)*ln(5)-20*x^3+560*x^2-1420*x-2000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(\ln \left(5\right)-x +25\right)^{\frac{\ln \left(x +1\right)}{5}}}{\ln \left(2-\frac{x}{2}\right)-2}$&$26$\\ \hline \end{longtable}"," ",0,"(ln(5)-x+25)^(1/5*ln(x+1))/(ln(2-1/2*x)-2)","A"
2731,1,12,18,0.437000," ","int(((x^2-10*x+25)*exp(x)-x^2+10*x-26)/(x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x}+\frac{1}{x -5}-x$&$12$\\ risch&${\mathrm e}^{x}+\frac{1}{x -5}-x$&$12$\\ norman&$\frac{{\mathrm e}^{x} x -x^{2}-5 \,{\mathrm e}^{x}+26}{x -5}$&$22$\\ \hline \end{longtable}"," ",0,"exp(x)+1/(x-5)-x","A"
2732,1,20,18,0.038000," ","int((12*x*ln(3)-3*x+5)/(5*x*ln(2*x)+(12*x^2-60*x)*ln(3)-3*x^2+15*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\frac{12 x \ln \left(3\right)}{5}-12 \ln \left(3\right)-\frac{3 x}{5}+\ln \left(2 x \right)+3\right)$&$20$\\ norman&$\ln \left(12 x \ln \left(3\right)-60 \ln \left(3\right)+5 \ln \left(2 x \right)-3 x +15\right)$&$22$\\ \hline \end{longtable}"," ",0,"ln(12/5*x*ln(3)-12*ln(3)-3/5*x+ln(2*x)+3)","A"
2733,1,18,17,0.027000," ","int((-7*x*ln(81/2*x^2)-2*x^2+2*x+24)/(x^3-8*x^2+16*x)/ln(81/2*x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3+x}{\left(x -4\right) \ln \left(\frac{81 x^{2}}{2}\right)}$&$18$\\ risch&$\frac{3+x}{\left(x -4\right) \ln \left(\frac{81 x^{2}}{2}\right)}$&$18$\\ \hline \end{longtable}"," ",0,"(3+x)/(x-4)/ln(81/2*x^2)","A"
2734,1,28,23,0.043000," ","int((2*(-x^3-6*x^2-12*x-8)*ln(2)+6*x^5+36*x^4+81*x^3+102*x^2+106*x+76)/(4*x^3+24*x^2+48*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3}}{2}-\frac{x \ln \left(2\right)}{2}+\frac{9 x}{4}+\frac{x}{2 x^{2}+8 x +8}$&$28$\\ default&$-\frac{1}{\left(2+x \right)^{2}}+\frac{1}{2 x +4}+\frac{x^{3}}{2}+\frac{9 x}{4}-\frac{x \ln \left(2\right)}{2}$&$29$\\ norman&$\frac{\left(-\frac{\ln \left(2\right)}{2}+\frac{17}{4}\right) x^{3}+\left(-\frac{53}{2}+6 \ln \left(2\right)\right) x +2 x^{4}+\frac{x^{5}}{2}-36+8 \ln \left(2\right)}{\left(2+x \right)^{2}}$&$41$\\ gosper&$-\frac{-2 x^{5}+2 x^{3} \ln \left(2\right)-8 x^{4}-17 x^{3}-24 x \ln \left(2\right)-32 \ln \left(2\right)+106 x +144}{4 \left(x^{2}+4 x +4\right)}$&$49$\\ \hline \end{longtable}"," ",0,"1/2*x^3-1/2*x*ln(2)+9/4*x+1/2*x/(x^2+4*x+4)","A"
2735,1,44,29,0.595000," ","int(((x^2+2*x-2)*exp(x+2*x*ln(2))^2+(2*(60*x^2+60)*ln(2)+40*x^3+100*x^2-80*x+100)*exp(x+2*x*ln(2))+400*x^4+800*x^2+400)/((x^2+2*x+1)*exp(x+2*x*ln(2))^2+(40*x^3+40*x^2+40*x+40)*exp(x+2*x*ln(2))+400*x^4+800*x^2+400),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{3}{x +1}-\frac{60 \left(x^{2}+1\right)}{\left(x +1\right) \left({\mathrm e}^{x} 4^{x} x +20 x^{2}+{\mathrm e}^{x} 4^{x}+20\right)}$&$44$\\ norman&$\frac{-20 x^{2}+2 \,{\mathrm e}^{x +2 x \ln \left(2\right)}+{\mathrm e}^{x +2 x \ln \left(2\right)} x^{2}+20 x +20 x^{3}-20}{{\mathrm e}^{x +2 x \ln \left(2\right)} x +20 x^{2}+{\mathrm e}^{x +2 x \ln \left(2\right)}+20}$&$66$\\ \hline \end{longtable}"," ",0,"x+3/(x+1)-60*(x^2+1)/(x+1)/(exp(x)*4^x*x+20*x^2+exp(x)*4^x+20)","A"
2736,1,16,23,0.043000," ","int(((-exp(x)-x)*ln(exp(x)+x)+(x-1)*exp(x)+2*x-2)/((2*x^2-8*x+8)*exp(x)+2*x^3-8*x^2+8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{\ln \left({\mathrm e}^{x}+x \right)}{2}-\frac{1}{2}}{x -2}$&$16$\\ risch&$\frac{\ln \left({\mathrm e}^{x}+x \right)}{2 x -4}-\frac{1}{2 \left(x -2\right)}$&$21$\\ \hline \end{longtable}"," ",0,"(1/2*ln(exp(x)+x)-1/2)/(x-2)","A"
2737,1,192,29,12.522000," ","int(((((-3*x-4)*ln(x)-3*x^2-4*x)*ln(ln(2))+3*x^3+4*x^2)*ln(((-x*ln(x)-x^2)*ln(ln(2))+x^3)/ln(ln(2)))+((-4*x+16)*ln(x)-8*x^2+28*x+16)*ln(ln(2))+12*x^3-48*x^2)/(((x^5-20*x^4+160*x^3-640*x^2+1280*x-1024)*ln(x)+x^6-20*x^5+160*x^4-640*x^3+1280*x^2-1024*x)*ln(ln(2))-x^7+20*x^6-160*x^5+640*x^4-1280*x^3+1024*x^2)/ln(((-x*ln(x)-x^2)*ln(ln(2))+x^3)/ln(ln(2)))^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x}{\left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\left(x +\ln \left(x \right)\right) \ln \left(\ln \left(2\right)\right)-x^{2}\right)\right) \mathrm{csgn}\left(i x \left(\left(x +\ln \left(x \right)\right) \ln \left(\ln \left(2\right)\right)-x^{2}\right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\left(x +\ln \left(x \right)\right) \ln \left(\ln \left(2\right)\right)-x^{2}\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\left(x +\ln \left(x \right)\right) \ln \left(\ln \left(2\right)\right)-x^{2}\right)\right) \mathrm{csgn}\left(i x \left(\left(x +\ln \left(x \right)\right) \ln \left(\ln \left(2\right)\right)-x^{2}\right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \left(\left(x +\ln \left(x \right)\right) \ln \left(\ln \left(2\right)\right)-x^{2}\right)\right)^{3}-2 i \ln \left(-\ln \left(\ln \left(2\right)\right)\right)+2 i \ln \left(x \right)+2 i \ln \left(\left(x +\ln \left(x \right)\right) \ln \left(\ln \left(2\right)\right)-x^{2}\right)\right)^{4} \left(x -4\right)^{2} \left(x^{2}-8 x +16\right)}$&$192$\\ \hline \end{longtable}"," ",0,"16*x/(Pi*csgn(I*x)*csgn(I*((x+ln(x))*ln(ln(2))-x^2))*csgn(I*x*((x+ln(x))*ln(ln(2))-x^2))-Pi*csgn(I*x)*csgn(I*x*((x+ln(x))*ln(ln(2))-x^2))^2-Pi*csgn(I*((x+ln(x))*ln(ln(2))-x^2))*csgn(I*x*((x+ln(x))*ln(ln(2))-x^2))^2+Pi*csgn(I*x*((x+ln(x))*ln(ln(2))-x^2))^3-2*I*ln(-ln(ln(2)))+2*I*ln(x)+2*I*ln((x+ln(x))*ln(ln(2))-x^2))^4/(x-4)^2/(x^2-8*x+16)","C"
2738,1,25,15,0.024000," ","int(((-exp(x)-3)*ln(3+exp(x))+(-5*x+75)*exp(x)-12*x+150)/(4*exp(x)+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \ln \left(3+{\mathrm e}^{x}\right)}{4}-\frac{x^{2}}{2}+\frac{25 x}{2}+\frac{25 \ln \left(3+{\mathrm e}^{x}\right)}{4}$&$25$\\ norman&$\frac{25 x}{2}-\frac{x^{2}}{2}-\frac{x \ln \left(3+{\mathrm e}^{x}\right)}{4}+\frac{25 \ln \left(4 \,{\mathrm e}^{x}+12\right)}{4}$&$27$\\ \hline \end{longtable}"," ",0,"-1/4*x*ln(3+exp(x))-1/2*x^2+25/2*x+25/4*ln(3+exp(x))","A"
2739,1,26,25,0.086000," ","int((4*(6*x^2-4*x-7)*ln(2)*ln(x^4)+4*(8*x^2-8*x-28)*ln(2))/(4*x^6-8*x^5-24*x^4+28*x^3+49*x^2)/ln(x^4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4 \ln \left(2\right)}{x \left(2 x^{2}-2 x -7\right) \ln \left(x^{4}\right)}$&$26$\\ risch&$-\frac{4 \ln \left(2\right)}{x \left(2 x^{2}-2 x -7\right) \ln \left(x^{4}\right)}$&$26$\\ \hline \end{longtable}"," ",0,"-4*ln(2)/x/(2*x^2-2*x-7)/ln(x^4)","A"
2740,1,81,27,0.148000," ","int(1/81*((324*x^7+162*x^6+72*x^4-18*x^3+4*x-4)*exp(x)^4+(-108*x^5-12*x^2+12*x)*exp(x)^3+(324*x^7-288*x^6-306*x^5+36*x^4-78*x^3+60*x^2)*exp(x)^2+(-36*x^5+68*x^4-68*x^3)*exp(x)+162*x^6-225*x^5)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{25 x}{9}+\frac{\left(81 x^{6}+18 x^{3}+1\right) {\mathrm e}^{4 x}}{81 x^{4}}-\frac{4 \left(9 x^{3}+1\right) {\mathrm e}^{3 x}}{81 x^{3}}+\frac{2 \left(27 x^{4}-51 x^{3}+3 x -5\right) {\mathrm e}^{2 x}}{27 x^{2}}-\frac{4 \left(9 x -17\right) {\mathrm e}^{x}}{81 x}$&$81$\\ default&$x^{2}-\frac{25 x}{9}-\frac{4 \,{\mathrm e}^{3 x}}{9}+\frac{{\mathrm e}^{4 x}}{81 x^{4}}-\frac{4 \,{\mathrm e}^{3 x}}{81 x^{3}}-\frac{10 \,{\mathrm e}^{2 x}}{27 x^{2}}+\frac{2 \,{\mathrm e}^{2 x}}{9 x}-\frac{34 x \,{\mathrm e}^{2 x}}{9}+x^{2} {\mathrm e}^{4 x}+\frac{68 \,{\mathrm e}^{x}}{81 x}+2 \,{\mathrm e}^{2 x} x^{2}+\frac{2 \,{\mathrm e}^{4 x}}{9 x}-\frac{4 \,{\mathrm e}^{x}}{9}$&$94$\\ \hline \end{longtable}"," ",0,"x^2-25/9*x+1/81*(81*x^6+18*x^3+1)/x^4*exp(4*x)-4/81*(9*x^3+1)/x^3*exp(3*x)+2/27*(27*x^4-51*x^3+3*x-5)/x^2*exp(2*x)-4/81*(9*x-17)/x*exp(x)","B"
2741,1,9,15,0.015000," ","int(4*x^3*exp(1)-4*x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{4} \left({\mathrm e}-1\right)$&$9$\\ norman&$x^{4} \left({\mathrm e}-1\right)$&$9$\\ default&$x^{4} {\mathrm e}-x^{4}$&$13$\\ risch&$x^{4} {\mathrm e}-x^{4}$&$13$\\ \hline \end{longtable}"," ",0,"x^4*(exp(1)-1)","A"
2742,1,28,24,0.237000," ","int((2*exp(5)^2+(-32*x^4-16)*exp(5)+128*x^8+128*x^4+512*x^3+32)/(x^2*exp(5)^2+(-16*x^6-8*x^2+16*x)*exp(5)+64*x^10+64*x^6-128*x^5+16*x^2-64*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{2 \left(-8 x^{4}+{\mathrm e}^{5}-4\right)}{-8 x^{5}+x \,{\mathrm e}^{5}-4 x +8}$&$28$\\ norman&$\frac{8+16 x^{4}-2 \,{\mathrm e}^{5}}{-8 x^{5}+x \,{\mathrm e}^{5}-4 x +8}$&$29$\\ risch&$\frac{8+16 x^{4}-2 \,{\mathrm e}^{5}}{-8 x^{5}+x \,{\mathrm e}^{5}-4 x +8}$&$29$\\ default&$-\left(\munderset{\textit{\_R} =\RootOf \left(64+64 \textit{\_Z}^{10}+\left(-16 \,{\mathrm e}^{5}+64\right) \textit{\_Z}^{6}-128 \textit{\_Z}^{5}+\left(-8 \,{\mathrm e}^{5}+{\mathrm e}^{10}+16\right) \textit{\_Z}^{2}+\left(16 \,{\mathrm e}^{5}-64\right) \textit{\_Z} \right)}{\sum}\frac{\left(16+64 \textit{\_R}^{8}+16 \left(4-{\mathrm e}^{5}\right) \textit{\_R}^{4}+256 \textit{\_R}^{3}-8 \,{\mathrm e}^{5}+{\mathrm e}^{10}\right) \ln \left(x -\textit{\_R} \right)}{32-320 \textit{\_R}^{9}+48 \textit{\_R}^{5} {\mathrm e}^{5}-192 \textit{\_R}^{5}+320 \textit{\_R}^{4}+8 \textit{\_R} \,{\mathrm e}^{5}-\textit{\_R} \,{\mathrm e}^{10}-8 \,{\mathrm e}^{5}-16 \textit{\_R}}\right)$&$128$\\ \hline \end{longtable}"," ",0,"-2*(-8*x^4+exp(5)-4)/(-8*x^5+x*exp(5)-4*x+8)","A"
2743,1,5,4,0.010000," ","int(3/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 \ln \left(x \right)$&$5$\\ norman&$3 \ln \left(x \right)$&$5$\\ risch&$3 \ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"3*ln(x)","A"
2744,1,29,29,0.069000," ","int(((-x^2*ln(3)^2-8*x^4*ln(3)-16*x^6)*exp(5/(exp(2)-3))-4*ln(3)-48*x^2)/(x^2*ln(3)^2+8*x^4*ln(3)+16*x^6)/exp(5/(exp(2)-3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{4 \,{\mathrm e}^{-\frac{5}{{\mathrm e}^{2}-3}}}{x \left(4 x^{2}+\ln \left(3\right)\right)}$&$29$\\ default&${\mathrm e}^{-\frac{5}{{\mathrm e}^{2}-3}} \left(-{\mathrm e}^{\frac{5}{{\mathrm e}^{2}-3}} x +\frac{4}{x \ln \left(3\right)}-\frac{16 x}{\ln \left(3\right) \left(4 x^{2}+\ln \left(3\right)\right)}\right)$&$52$\\ gosper&$-\frac{\left(4 \,{\mathrm e}^{\frac{5}{{\mathrm e}^{2}-3}} x^{4}-4+\ln \left(3\right) {\mathrm e}^{\frac{5}{{\mathrm e}^{2}-3}} x^{2}\right) {\mathrm e}^{-\frac{5}{{\mathrm e}^{2}-3}}}{x \left(4 x^{2}+\ln \left(3\right)\right)}$&$58$\\ \hline \end{longtable}"," ",0,"-x+4*exp(-5/(exp(2)-3))/x/(4*x^2+ln(3))","A"
2745,1,15,15,0.022000," ","int((-2*x*ln(x)-x)*ln(1/3*ln(2))+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -x^{2} \ln \left(x \right) \ln \left(\frac{\ln \left(2\right)}{3}\right)$&$15$\\ norman&$x +\left(\ln \left(3\right)-\ln \left(\ln \left(2\right)\right)\right) x^{2} \ln \left(x \right)$&$17$\\ risch&$-\left(-\ln \left(3\right)+\ln \left(\ln \left(2\right)\right)\right) x^{2} \ln \left(x \right)+x$&$18$\\ \hline \end{longtable}"," ",0,"x-x^2*ln(x)*ln(1/3*ln(2))","A"
2746,1,31,25,0.454000," ","int(((2*exp(exp(2))+3*x^2+6*x)*exp(1/2*(2*x*exp(exp(2))+x^3+3*x^2)/exp(exp(2)))-2*exp(exp(2)))/((2*exp(exp(2))*exp(1/2*(2*x*exp(exp(2))+x^3+3*x^2)/exp(exp(2)))+(-2*x-2)*exp(exp(2)))*ln(-exp(1/2*(2*x*exp(exp(2))+x^3+3*x^2)/exp(exp(2)))+x+1)+16*exp(exp(2))*exp(1/2*(2*x*exp(exp(2))+x^3+3*x^2)/exp(exp(2)))+(-16*x-16)*exp(exp(2))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(-{\mathrm e}^{\frac{x \left(x^{2}+2 \,{\mathrm e}^{{\mathrm e}^{2}}+3 x \right) {\mathrm e}^{-{\mathrm e}^{2}}}{2}}+x +1\right)+8\right)$&$31$\\ norman&$\ln \left(\ln \left(-{\mathrm e}^{\frac{\left(2 x \,{\mathrm e}^{{\mathrm e}^{2}}+x^{3}+3 x^{2}\right) {\mathrm e}^{-{\mathrm e}^{2}}}{2}}+x +1\right)+8\right)$&$33$\\ \hline \end{longtable}"," ",0,"ln(ln(-exp(1/2*x*(x^2+2*exp(exp(2))+3*x)*exp(-exp(2)))+x+1)+8)","A"
2747,1,71,29,0.136000," ","int((10*x^2*exp(2+x)+50*x)*exp(1/5*exp(2+x))^2+((10*exp(x)*x-10*x^3+10*x^2)*exp(2+x)+(50*x+50)*exp(x)-150*x^2+100*x)*exp(1/5*exp(2+x))+50*exp(x)^2+(-50*x^2-50*x+50)*exp(x)+100*x^3-150*x^2+50*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x^{2} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2+x}}{5}}-50 x \left(x^{2}-x -{\mathrm e}^{x}\right) {\mathrm e}^{\frac{{\mathrm e}^{2+x}}{5}}+25 \,{\mathrm e}^{2 x}+\left(-50 x^{2}+50 x \right) {\mathrm e}^{x}+25 x^{4}-50 x^{3}+25 x^{2}-x$&$71$\\ default&$-x +25 x^{2} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2+x}}{5}}-50 x^{3} {\mathrm e}^{\frac{{\mathrm e}^{2} {\mathrm e}^{x}}{5}}+50 \,{\mathrm e}^{\frac{{\mathrm e}^{2} {\mathrm e}^{x}}{5}} x^{2}+50 \,{\mathrm e}^{\frac{{\mathrm e}^{2} {\mathrm e}^{x}}{5}} x \,{\mathrm e}^{x}+50 \,{\mathrm e}^{x} x -50 \,{\mathrm e}^{x} x^{2}+25 x^{2}-50 x^{3}+25 x^{4}+25 \,{\mathrm e}^{2 x}$&$88$\\ \hline \end{longtable}"," ",0,"25*x^2*exp(2/5*exp(2+x))-50*x*(x^2-x-exp(x))*exp(1/5*exp(2+x))+25*exp(2*x)+(-50*x^2+50*x)*exp(x)+25*x^4-50*x^3+25*x^2-x","B"
2748,1,59,30,0.056000," ","int((((x^3-3*x^2)*exp(x)-12*x+4)*exp(x^2)+(6*x^5-6*x^4-3*x^3+3*x^2)*exp(x)+24*x^4-24*x^3-12*x^2+12*x)*exp(((x-5)*exp(x^2)-3*x)/exp(x^2))/(x^5-3*x^4+3*x^3-x^2)/exp(x)/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left({\mathrm e}^{x} x +4\right) {\mathrm e}^{{\mathrm e}^{x^{2}} {\mathrm e}^{-x^{2}} x -5 \,{\mathrm e}^{x^{2}} {\mathrm e}^{-x^{2}}-3 \,{\mathrm e}^{-x^{2}} x -x}}{\left(x^{2}-2 x +1\right) x}$&$59$\\ \hline \end{longtable}"," ",0,"1/(x^2-2*x+1)/x*(exp(x)*x+4)*exp(exp(x^2)*exp(-x^2)*x-5*exp(x^2)*exp(-x^2)-3*exp(-x^2)*x-x)","A"
2749,1,104,20,0.105000," ","int(((exp(-x+4)^2-8+x)*ln(exp(-x+4)^4+(2*x-16)*exp(-x+4)^2+x^2-16*x+64)+8*x*exp(-x+4)^2-4*x)/(exp(-x+4)^2-8+x)/ln(exp(-x+4)^4+(2*x-16)*exp(-x+4)^2+x^2-16*x+64)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x}{\left(\pi  \mathrm{csgn}\left(i \left({\mathrm e}^{-2 x +8}-8+x \right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{-2 x +8}-8+x \right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{-2 x +8}-8+x \right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{-2 x +8}-8+x \right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left({\mathrm e}^{-2 x +8}-8+x \right)^{2}\right)^{3}+4 i \ln \left({\mathrm e}^{-2 x +8}-8+x \right)\right)^{2}}$&$104$\\ \hline \end{longtable}"," ",0,"-4*x/(Pi*csgn(I*(exp(-2*x+8)-8+x))^2*csgn(I*(exp(-2*x+8)-8+x)^2)-2*Pi*csgn(I*(exp(-2*x+8)-8+x))*csgn(I*(exp(-2*x+8)-8+x)^2)^2+Pi*csgn(I*(exp(-2*x+8)-8+x)^2)^3+4*I*ln(exp(-2*x+8)-8+x))^2","C"
2750,1,10,23,0.437000," ","int(-3/(x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)+\ln \left(3+x \right)$&$10$\\ norman&$-\ln \left(x \right)+\ln \left(3+x \right)$&$10$\\ risch&$-\ln \left(x \right)+\ln \left(3+x \right)$&$10$\\ meijerg&$-\ln \left(x \right)+\ln \left(3\right)+\ln \left(1+\frac{x}{3}\right)$&$14$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(3+x)","A"
2751,1,35,31,0.199000," ","int(((x+2*x*ln(2))*ln(x)-4*x^3*ln(2)^2+2*(-2*x^3+4*x^2-x)*ln(2)-x^3+4*x^2-5*x+2)/(5*x*ln(x)^2+(2*(10*x^3-10*x^2)*ln(2)+10*x^3-30*x^2+20*x)*ln(x)+4*(5*x^5-10*x^4+5*x^3)*ln(2)^2+2*(10*x^5-40*x^4+50*x^3-20*x^2)*ln(2)+5*x^5-30*x^4+65*x^3-60*x^2+20*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x \ln \left(2\right)+x -2}{10 x^{2} \ln \left(2\right)-10 x \ln \left(2\right)+5 x^{2}+5 \ln \left(x \right)-15 x +10}$&$35$\\ norman&$\frac{-\frac{2}{5}+\left(\frac{2 \ln \left(2\right)}{5}+\frac{1}{5}\right) x}{2 x^{2} \ln \left(2\right)-2 x \ln \left(2\right)+x^{2}+\ln \left(x \right)-3 x +2}$&$36$\\ \hline \end{longtable}"," ",0,"1/5*(2*x*ln(2)+x-2)/(2*x^2*ln(2)-2*x*ln(2)+x^2+ln(x)-3*x+2)","A"
2752,1,21,18,0.088000," ","int((((5*x-5)*exp(2)+x-1)*exp(x+ln(1/3*x))+270*exp(2)+54)*exp(((5*exp(2)+1)*exp(x+ln(1/3*x))-135*exp(2)-27)/x^2/exp(2))/x^3/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left({\mathrm e}^{x} x -81\right) \left(5 \,{\mathrm e}^{2}+1\right) {\mathrm e}^{-2}}{3 x^{2}}}$&$21$\\ \hline \end{longtable}"," ",0,"exp(1/3*(exp(x)*x-81)*(5*exp(2)+1)*exp(-2)/x^2)","A"
2753,1,18,21,0.046000," ","int((2*(-2*x^3+6*x^2-6*x+2)*ln(3)+19*x^3-63*x^2+63*x-21)/(x^6-3*x^5+3*x^4-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{-4 \ln \left(3\right)+21}{2 x^{2}}+\frac{1}{\left(x -1\right)^{2}}$&$18$\\ norman&$\frac{\left(-4 \ln \left(3\right)+21\right) x +\left(2 \ln \left(3\right)-\frac{19}{2}\right) x^{2}-\frac{21}{2}+2 \ln \left(3\right)}{x^{2} \left(x -1\right)^{2}}$&$34$\\ risch&$\frac{\left(-4 \ln \left(3\right)+21\right) x +\left(2 \ln \left(3\right)-\frac{19}{2}\right) x^{2}-\frac{21}{2}+2 \ln \left(3\right)}{x^{2} \left(x^{2}-2 x +1\right)}$&$39$\\ gosper&$\frac{4 x^{2} \ln \left(3\right)-8 x \ln \left(3\right)-19 x^{2}+4 \ln \left(3\right)+42 x -21}{2 x^{2} \left(x^{2}-2 x +1\right)}$&$42$\\ \hline \end{longtable}"," ",0,"-1/2*(-4*ln(3)+21)/x^2+1/(x-1)^2","A"
2754,1,5,6,0.010000," ","int(-6/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-6 \ln \left(x \right)$&$5$\\ norman&$-6 \ln \left(x \right)$&$5$\\ risch&$-6 \ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"-6*ln(x)","A"
2755,1,21,23,0.035000," ","int((-64*x^3-32*x-3)*exp(16*x^4+16*x^2+3*x+4)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{16 x^{4}+16 x^{2}+3 x +4}$&$21$\\ norman&$x -{\mathrm e}^{16 x^{4}+16 x^{2}+3 x +4}$&$21$\\ risch&$x -{\mathrm e}^{16 x^{4}+16 x^{2}+3 x +4}$&$21$\\ \hline \end{longtable}"," ",0,"x-exp(16*x^4+16*x^2+3*x+4)","A"
2756,1,26,23,0.432000," ","int(((-2*x^3-34*x^2-126*x+162)*ln(5/x)^2+18*ln(5/x)+2*x+18)/(x^2+18*x+81)/ln(5/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+2 x +\frac{2 x}{\left(x +9\right) \ln \left(\frac{5}{x}\right)}$&$26$\\ norman&$\frac{-162 \ln \left(\frac{5}{x}\right)+2 x -7 x^{2} \ln \left(\frac{5}{x}\right)-x^{3} \ln \left(\frac{5}{x}\right)}{\left(x +9\right) \ln \left(\frac{5}{x}\right)}$&$49$\\ \hline \end{longtable}"," ",0,"-x^2+2*x+2*x/(x+9)/ln(5/x)","A"
2757,1,25,20,0.056000," ","int(1/16*((21*x^2+14*x-2)*ln(5)*exp(7*x)+ln(5))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(5\right)}{16 x}+\frac{\ln \left(5\right) \left(3 x +2\right) {\mathrm e}^{7 x}}{16 x}$&$25$\\ norman&$\frac{\frac{\ln \left(5\right) {\mathrm e}^{7 x}}{8}+\frac{3 x \ln \left(5\right) {\mathrm e}^{7 x}}{16}-\frac{\ln \left(5\right)}{16}}{x}$&$27$\\ derivativedivides&$-\frac{\ln \left(5\right)}{16 x}+\frac{3 \ln \left(5\right) {\mathrm e}^{7 x}}{16}+\frac{\ln \left(5\right) {\mathrm e}^{7 x}}{8 x}$&$28$\\ default&$-\frac{\ln \left(5\right)}{16 x}+\frac{3 \ln \left(5\right) {\mathrm e}^{7 x}}{16}+\frac{\ln \left(5\right) {\mathrm e}^{7 x}}{8 x}$&$28$\\ \hline \end{longtable}"," ",0,"-1/16*ln(5)/x+1/16*ln(5)*(3*x+2)/x*exp(7*x)","A"
2758,1,23,17,0.020000," ","int(1/2*(x*ln(x)*ln(ln(x))^2+1)*exp(((2*x-14)*ln(ln(x))-2)/ln(ln(x)))/x/ln(x)/ln(ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{2 x \ln \left(\ln \left(x \right)\right)-14 \ln \left(\ln \left(x \right)\right)-2}{\ln \left(\ln \left(x \right)\right)}}}{4}$&$23$\\ \hline \end{longtable}"," ",0,"1/4*exp(2*(x*ln(ln(x))-7*ln(ln(x))-1)/ln(ln(x)))","A"
2759,1,19,19,0.054000," ","int(1/5*((9*x-4)*exp(9*x)+10*x^6-2*x^2)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x^{2}+\frac{1}{5 x^{2}}+\frac{{\mathrm e}^{9 x}}{5 x^{4}}$&$19$\\ default&$x^{2}+\frac{1}{5 x^{2}}+\frac{{\mathrm e}^{9 x}}{5 x^{4}}$&$19$\\ risch&$x^{2}+\frac{1}{5 x^{2}}+\frac{{\mathrm e}^{9 x}}{5 x^{4}}$&$19$\\ norman&$\frac{x^{6}+\frac{x^{2}}{5}+\frac{{\mathrm e}^{9 x}}{5}}{x^{4}}$&$20$\\ \hline \end{longtable}"," ",0,"x^2+1/5/x^2+1/5/x^4*exp(9*x)","A"
2760,1,29,24,0.337000," ","int((9*x^2*exp(4)^8*exp(x)^4+108*x^2*exp(4)^6*exp(x)^3+(-6*x^3+462*x^2+6*x+3)*exp(4)^4*exp(x)^2+(-36*x^3+828*x^2+18*x+18)*exp(4)^2*exp(x)+x^4-46*x^3+529*x^2-2*x+23)/(9*x^2*exp(4)^8*exp(x)^4+108*x^2*exp(4)^6*exp(x)^3+(-6*x^3+462*x^2)*exp(4)^4*exp(x)^2+(-36*x^3+828*x^2)*exp(4)^2*exp(x)+x^4-46*x^3+529*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{1}{x \left(3 \,{\mathrm e}^{2 x +16}+18 \,{\mathrm e}^{x +8}-x +23\right)}$&$29$\\ norman&$\frac{-1+529 x +414 \,{\mathrm e}^{8} {\mathrm e}^{x} x +69 x \,{\mathrm e}^{16} {\mathrm e}^{2 x}-x^{3}+18 \,{\mathrm e}^{8} {\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{16} {\mathrm e}^{2 x} x^{2}}{x \left(3 \,{\mathrm e}^{16} {\mathrm e}^{2 x}+18 \,{\mathrm e}^{8} {\mathrm e}^{x}-x +23\right)}$&$84$\\ \hline \end{longtable}"," ",0,"x-1/x/(3*exp(2*x+16)+18*exp(x+8)-x+23)","A"
2761,1,21,19,0.033000," ","int(((65*x-10)*exp(x)*exp(11/2*x+10)*ln(x)+10*exp(x)*exp(11/2*x+10)-6)/(10*x*exp(x)*exp(11/2*x+10)*ln(x)+6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{13 x}{2}-\ln \left(x \right)+\ln \left(\ln \left(x \right)+\frac{3 \,{\mathrm e}^{-\frac{13 x}{2}-10}}{5}\right)$&$21$\\ \hline \end{longtable}"," ",0,"13/2*x-ln(x)+ln(ln(x)+3/5*exp(-13/2*x-10))","A"
2762,1,25,22,0.099000," ","int(((8*x^2+8*x+2)*exp(1)^2+(-16*x^3-16*x^2-4*x-9)*exp(1)+8*x^4+8*x^3-16*x^2)/((8*x^2+8*x+2)*exp(1)^2+(-16*x^3-16*x^2-4*x)*exp(1)+8*x^4+8*x^3+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{9 x}{4 \left(x \,{\mathrm e}-x^{2}+\frac{{\mathrm e}}{2}-\frac{x}{2}\right)}$&$25$\\ norman&$\frac{\left(2 \,{\mathrm e}^{2}-{\mathrm e}-4\right) x -2 x^{3}+{\mathrm e}^{2}-\frac{{\mathrm e}}{2}}{\left(2 x +1\right) \left({\mathrm e}-x \right)}$&$45$\\ gosper&$\frac{4 \,{\mathrm e}^{2} x -4 x^{3}+2 \,{\mathrm e}^{2}-2 x \,{\mathrm e}-{\mathrm e}-8 x}{4 x \,{\mathrm e}-4 x^{2}+2 \,{\mathrm e}-2 x}$&$52$\\ \hline \end{longtable}"," ",0,"x-9/4*x/(x*exp(1)-x^2+1/2*exp(1)-1/2*x)","A"
2763,1,17,22,0.026000," ","int(1/4*((24*x^2+3)*ln(3)+12*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$6 x \ln \left(3\right)+3 x -\frac{3 \ln \left(3\right)}{4 x}$&$17$\\ risch&$6 x \ln \left(3\right)+3 x -\frac{3 \ln \left(3\right)}{4 x}$&$17$\\ norman&$\frac{\left(6 \ln \left(3\right)+3\right) x^{2}-\frac{3 \ln \left(3\right)}{4}}{x}$&$20$\\ gosper&$\frac{6 x^{2} \ln \left(3\right)+3 x^{2}-\frac{3 \ln \left(3\right)}{4}}{x}$&$23$\\ \hline \end{longtable}"," ",0,"6*x*ln(3)+3*x-3/4*ln(3)/x","A"
2764,0,0,29,180.000000," ","int((((-x^4+4*x^3-4*x^2)*exp(1/x)-2*x^2+8*x-8)*exp(x)*exp(2/exp(1/x))+(2*x^3-6*x^2)*exp(1/x)*exp(x)*ln(1/4*x)+(-2*x^4+4*x^3+6*x^2-4*x)*exp(1/x)*exp(x))/(2*x^4-8*x^3+8*x^2)/exp(1/x),x)","\[\int \frac{\left(\left(\left(-x^{4}+4 x^{3}-4 x^{2}\right) {\mathrm e}^{\frac{1}{x}}-2 x^{2}+8 x -8\right) {\mathrm e}^{x} {\mathrm e}^{2 \,{\mathrm e}^{-\frac{1}{x}}}+\left(2 x^{3}-6 x^{2}\right) {\mathrm e}^{\frac{1}{x}} {\mathrm e}^{x} \ln \left(\frac{x}{4}\right)+\left(-2 x^{4}+4 x^{3}+6 x^{2}-4 x \right) {\mathrm e}^{\frac{1}{x}} {\mathrm e}^{x}\right) {\mathrm e}^{-\frac{1}{x}}}{2 x^{4}-8 x^{3}+8 x^{2}}\, dx\]"," ",0,"int((((-x^4+4*x^3-4*x^2)*exp(1/x)-2*x^2+8*x-8)*exp(x)*exp(2/exp(1/x))+(2*x^3-6*x^2)*exp(1/x)*exp(x)*ln(1/4*x)+(-2*x^4+4*x^3+6*x^2-4*x)*exp(1/x)*exp(x))/(2*x^4-8*x^3+8*x^2)/exp(1/x),x)","F"
2765,1,15,22,0.034000," ","int(((x-1)*exp(x)+(1-2*x)*exp(2*x-ln(2))-6)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{6-\frac{{\mathrm e}^{2 x}}{2}+{\mathrm e}^{x}}{x}$&$15$\\ default&$\frac{6}{x}+\frac{{\mathrm e}^{x}}{x}-\frac{{\mathrm e}^{2 x}}{2 x}$&$22$\\ risch&$\frac{6}{x}+\frac{{\mathrm e}^{x}}{x}-\frac{{\mathrm e}^{2 x}}{2 x}$&$22$\\ \hline \end{longtable}"," ",0,"(6-1/2*exp(x)^2+exp(x))/x","A"
2766,1,23,23,0.056000," ","int(((80*x^4+800*x^2+2000)*ln(2)+40*x^5+x^4+400*x^3+11*x^2+1000*x+20)/(x^4+10*x^2+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$20 x^{2}+80 x \ln \left(2\right)+x -\frac{x}{x^{2}+5}$&$23$\\ risch&$20 x^{2}+80 x \ln \left(2\right)+x -\frac{x}{x^{2}+5}$&$23$\\ gosper&$\frac{80 x^{3} \ln \left(2\right)+20 x^{4}+x^{3}+400 x \ln \left(2\right)+4 x -500}{x^{2}+5}$&$34$\\ norman&$\frac{20 x^{4}+\left(80 \ln \left(2\right)+1\right) x^{3}-500+\left(400 \ln \left(2\right)+4\right) x}{x^{2}+5}$&$34$\\ \hline \end{longtable}"," ",0,"20*x^2+80*x*ln(2)+x-x/(x^2+5)","A"
2767,1,25,25,0.504000," ","int(((4*x^2-4*x)*exp(x^2)*exp(5*x*ln((4*x-4)/x))+(-5*x^2+5*x)*ln((4*x-4)/x)-4*x-1)/(2*x-2)/exp(5*x*ln((4*x-4)/x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x \,{\mathrm e}^{-5 x \ln \left(\frac{4 x -4}{x}\right)}}{2}+{\mathrm e}^{x^{2}}$&$25$\\ risch&${\mathrm e}^{x^{2}}+\frac{x \,{\mathrm e}^{-\frac{5 x \left(-i \pi  \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+i \pi  \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -1\right)\right)-2 \ln \left(x \right)+2 \ln \left(x -1\right)+4 \ln \left(2\right)\right)}{2}}}{2}$&$118$\\ \hline \end{longtable}"," ",0,"1/2*x/exp(5*x*ln((4*x-4)/x))+exp(x^2)","A"
2768,1,4,6,0.013000," ","int(2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{2}$&$4$\\ default&$x^{2}$&$4$\\ norman&$x^{2}$&$4$\\ risch&$x^{2}$&$4$\\ \hline \end{longtable}"," ",0,"x^2","A"
2769,1,12,13,0.015000," ","int((-6*x^2-4*x)/(x^3+x^2+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(x^{3}+x^{2}+5\right)$&$12$\\ norman&$-2 \ln \left(x^{3}+x^{2}+5\right)$&$12$\\ risch&$-2 \ln \left(x^{3}+x^{2}+5\right)$&$12$\\ \hline \end{longtable}"," ",0,"-2*ln(x^3+x^2+5)","A"
2770,1,12,12,0.043000," ","int(((x-2)*exp(x)*ln(1/x)+exp(x))/x^3/ln(1/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{x}}{\ln \left(x \right) x^{2}}$&$12$\\ \hline \end{longtable}"," ",0,"-exp(x)/ln(x)/x^2","A"
2771,1,26,27,0.055000," ","int((18*exp(x)^4*exp((-exp(x)*x^2+x^2)/exp(x))+(-2*x^2+x-1)*exp(x)-x^3+2*x^2)/exp(x)^2/exp((-exp(x)*x^2+x^2)/exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 \,{\mathrm e}^{2 x}-x \,{\mathrm e}^{-x \left(x \,{\mathrm e}^{-x}-x +1\right)}$&$26$\\ \hline \end{longtable}"," ",0,"9*exp(2*x)-x*exp(-x*(x*exp(-x)-x+1))","A"
2772,1,19,26,0.051000," ","int(1/2*(-8*ln(3)^2+4*x*ln(3))/(5*x*ln(3)-4*x)/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{2 x -4 \ln \left(3\right) \ln \left(x \right)}{5 \ln \left(3\right)-4}$&$19$\\ norman&$\frac{2 x}{5 \ln \left(3\right)-4}-\frac{4 \ln \left(3\right) \ln \left(x \right)}{5 \ln \left(3\right)-4}$&$27$\\ risch&$\frac{2 x}{5 \ln \left(3\right)-4}-\frac{4 \ln \left(3\right) \ln \left(x \right)}{5 \ln \left(3\right)-4}$&$27$\\ \hline \end{longtable}"," ",0,"2/(5*ln(3)-4)*(x-2*ln(3)*ln(x))","A"
2773,1,25,22,0.063000," ","int((54*x^6+12*x^5-432*x^4-96*x^3+864*x^2)/(x^4-8*x^2+16)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{6 x^{3} \left(3 x^{2}+x -12\right)}{\ln \left(2\right) \left(x^{2}-4\right)}$&$25$\\ default&$\frac{18 x^{3}+6 x^{2}+\frac{24}{x -2}-\frac{24}{2+x}}{\ln \left(2\right)}$&$30$\\ risch&$\frac{18 x^{3}}{\ln \left(2\right)}+\frac{6 x^{2}}{\ln \left(2\right)}+\frac{96}{\ln \left(2\right) \left(x^{2}-4\right)}$&$33$\\ norman&$\frac{-\frac{72 x^{3}}{\ln \left(2\right)}+\frac{6 x^{4}}{\ln \left(2\right)}+\frac{18 x^{5}}{\ln \left(2\right)}}{x^{2}-4}$&$37$\\ \hline \end{longtable}"," ",0,"6*x^3*(3*x^2+x-12)/ln(2)/(x^2-4)","A"
2774,1,17,19,0.031000," ","int(1/20*((-2*x*ln(2)+4*x-32)*ln(x)+2*x*ln(2)-4*x+16)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x \ln \left(2\right)-2 x +8\right) \ln \left(x \right)}{10 x^{2}}$&$17$\\ norman&$\frac{\left(\frac{\ln \left(2\right)}{10}-\frac{1}{5}\right) x \ln \left(x \right)+\frac{4 \ln \left(x \right)}{5}}{x^{2}}$&$20$\\ default&$-\frac{\ln \left(2\right) \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)}{10}-\frac{\ln \left(x \right)}{5 x}-\frac{\ln \left(2\right)}{10 x}+\frac{4 \ln \left(x \right)}{5 x^{2}}$&$40$\\ \hline \end{longtable}"," ",0,"1/10*(x*ln(2)-2*x+8)/x^2*ln(x)","A"
2775,1,272,22,0.430000," ","int(((-exp(x)*x+x*exp(x-2)-x)*ln(1/2*x/exp(x))-x+1)*exp(ln(ln(1/2*x/exp(x)))-exp(x)+exp(x-2)-x)/x/ln(1/2*x/exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i \left(-\ln \left(2\right)+\ln \left(x \right)-\ln \left({\mathrm e}^{x}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}}{2}-\frac{i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}}{2}\right) \left(-\ln \left(2\right)+\ln \left(x \right)-\ln \left({\mathrm e}^{x}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{-x}\right)\right)}{2}\right) {\mathrm e}^{-{\mathrm e}^{x}+{\mathrm e}^{x -2}-x}}{2 i \ln \left(x \right)-2 i \ln \left({\mathrm e}^{x}\right)+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)+\pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}-2 i \ln \left(2\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}}$&$272$\\ \hline \end{longtable}"," ",0,"2*I*(-ln(2)+ln(x)-ln(exp(x))-1/2*I*Pi*csgn(I*x)*csgn(I*exp(-x))*csgn(I*x*exp(-x))+1/2*I*Pi*csgn(I*x)*csgn(I*x*exp(-x))^2+1/2*I*Pi*csgn(I*exp(-x))*csgn(I*x*exp(-x))^2-1/2*I*Pi*csgn(I*x*exp(-x))^3)/(2*I*ln(x)-2*I*ln(exp(x))+Pi*csgn(I*x)*csgn(I*exp(-x))*csgn(I*x*exp(-x))+Pi*csgn(I*x*exp(-x))^3-2*I*ln(2)-Pi*csgn(I*x)*csgn(I*x*exp(-x))^2-Pi*csgn(I*exp(-x))*csgn(I*x*exp(-x))^2)*(-ln(2)+ln(x)-ln(exp(x))-1/2*I*Pi*csgn(I*x*exp(-x))*(-csgn(I*x*exp(-x))+csgn(I*x))*(-csgn(I*x*exp(-x))+csgn(I*exp(-x))))*exp(-exp(x)+exp(x-2)-x)","C"
2776,0,0,17,0.026000," ","int((((8*x^3*exp(x^2)+4*x)*ln(x)+4*x)*exp(exp(x^2))-4)*ln(-25/4*x*ln(x)*exp(exp(x^2))+25/4*ln(x))^3/(x^2*ln(x)*exp(exp(x^2))-x*ln(x)),x)","\[\int \frac{\left(\left(\left(8 x^{3} {\mathrm e}^{x^{2}}+4 x \right) \ln \left(x \right)+4 x \right) {\mathrm e}^{{\mathrm e}^{x^{2}}}-4\right) \ln \left(-\frac{25 x \ln \left(x \right) {\mathrm e}^{{\mathrm e}^{x^{2}}}}{4}+\frac{25 \ln \left(x \right)}{4}\right)^{3}}{x^{2} \ln \left(x \right) {\mathrm e}^{{\mathrm e}^{x^{2}}}-x \ln \left(x \right)}\, dx\]"," ",0,"int((((8*x^3*exp(x^2)+4*x)*ln(x)+4*x)*exp(exp(x^2))-4)*ln(-25/4*x*ln(x)*exp(exp(x^2))+25/4*ln(x))^3/(x^2*ln(x)*exp(exp(x^2))-x*ln(x)),x)","F"
2777,1,28,25,0.120000," ","int((((-6*x-24)*ln((4+x)/x)-6*x-24)*ln(ln((4+x)/x)*x+x)+((-6*x-24)*ln(2)+x^2-2*x-24)*ln((4+x)/x)+(-6*x-24)*ln(2)+x^2-2*x)/((24+6*x)*ln((4+x)/x)+24+6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}}{12}-x \ln \left(2\right)-\ln \left(\ln \left(\frac{4+x}{x}\right) x +x \right) x$&$28$\\ \hline \end{longtable}"," ",0,"1/12*x^2-x*ln(2)-ln(ln((4+x)/x)*x+x)*x","A"
2778,1,110,30,0.112000," ","int((-2*x*ln(x)^6+(-32*x*ln(3)+4*x^2-2*x+6)*ln(x)^5+(-128*x*ln(3)^2+(32*x^2-16*x+80)*ln(3)-2*x^3+2*x^2-10*x)*ln(x)^4+((2*x^3-4*x^2)*ln(3)*exp(x)+256*ln(3)^2-64*x*ln(3)+4*x^2)*ln(x)^3+((16*x^3-32*x^2)*ln(3)^2+(-2*x^4+6*x^3-6*x^2)*ln(3))*exp(x)*ln(x)^2+(-32*x^2*ln(3)^2+4*x^3*ln(3))*exp(x)*ln(x)+4*x^4*ln(3)^2*exp(x)^2)/x/ln(3)^2/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-2 x} \ln \left(x \right)^{6}}{\ln \left(3\right)^{2}}+\frac{2 \left(8 \ln \left(3\right)-x \right) {\mathrm e}^{-2 x} \ln \left(x \right)^{5}}{\ln \left(3\right)^{2}}+\frac{\left(64 \ln \left(3\right)^{2}-16 x \ln \left(3\right)+x^{2}\right) {\mathrm e}^{-2 x} \ln \left(x \right)^{4}}{\ln \left(3\right)^{2}}-\frac{2 x^{2} {\mathrm e}^{-x} \ln \left(x \right)^{3}}{\ln \left(3\right)}-\frac{2 x^{2} \left(8 \ln \left(3\right)-x \right) {\mathrm e}^{-x} \ln \left(x \right)^{2}}{\ln \left(3\right)}+x^{4}$&$110$\\ \hline \end{longtable}"," ",0,"1/ln(3)^2*exp(-2*x)*ln(x)^6+2/ln(3)^2*(8*ln(3)-x)*exp(-2*x)*ln(x)^5+1/ln(3)^2*(64*ln(3)^2-16*x*ln(3)+x^2)*exp(-2*x)*ln(x)^4-2/ln(3)*x^2*exp(-x)*ln(x)^3-2/ln(3)*x^2*(8*ln(3)-x)*exp(-x)*ln(x)^2+x^4","B"
2779,1,21,21,0.082000," ","int(((-150*x^2-147*x)*ln(2*x)-75*x^2-147*x-3)/(3125*x^5+12250*x^4+12255*x^3+490*x^2+5*x)/ln(2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3}{5 \left(25 x^{2}+49 x +1\right) \ln \left(2 x \right)}$&$21$\\ risch&$\frac{3}{5 \left(25 x^{2}+49 x +1\right) \ln \left(2 x \right)}$&$21$\\ \hline \end{longtable}"," ",0,"3/5/(25*x^2+49*x+1)/ln(2*x)","A"
2780,1,20,20,0.465000," ","int((((6*ln(5)+3*x-27)*exp(x)+4*ln(5)+2*x-18)*ln(2*ln(5)+x-9)^2+(30*ln(5)+15*x-135)*ln(2*ln(5)+x-9)-15*x)/(6*ln(5)+3*x-27)/ln(2*ln(5)+x-9)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{3}+{\mathrm e}^{x}+\frac{5 x}{\ln \left(2 \ln \left(5\right)+x -9\right)}$&$20$\\ norman&$\frac{{\mathrm e}^{x} \ln \left(2 \ln \left(5\right)+x -9\right)+5 x +\frac{2 \ln \left(2 \ln \left(5\right)+x -9\right) x}{3}}{\ln \left(2 \ln \left(5\right)+x -9\right)}$&$38$\\ default&$\frac{2 x}{3}+\frac{10 \ln \left(5\right)+5 x -45}{\ln \left(2 \ln \left(5\right)+x -9\right)}-\frac{10 \ln \left(5\right)}{\ln \left(2 \ln \left(5\right)+x -9\right)}+\frac{45}{\ln \left(2 \ln \left(5\right)+x -9\right)}+{\mathrm e}^{x}$&$52$\\ \hline \end{longtable}"," ",0,"2/3*x+exp(x)+5*x/ln(2*ln(5)+x-9)","A"
2781,1,47,26,0.241000," ","int((2*(-50*x^2+20*x-2)*exp(3)^2*ln(2)+(10*x^2-4*x)*exp(3)^2-2*exp(3))/(4*((25*x^4-10*x^3+x^2)*exp(3)^2+(50*x^3-20*x^2+2*x)*exp(3)+25*x^2-10*x+1)*ln(2)^2+2*((-10*x^4+2*x^3)*exp(3)^2+(-20*x^3+4*x^2)*exp(3)-10*x^2+2*x)*ln(2)+x^4*exp(3)^2+2*x^3*exp(3)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{3}-\frac{{\mathrm e}^{3}}{5}}{{\mathrm e}^{3} \ln \left(2\right) x^{2}-\frac{{\mathrm e}^{3} \ln \left(2\right) x}{5}-\frac{x^{2} {\mathrm e}^{3}}{10}+x \ln \left(2\right)-\frac{\ln \left(2\right)}{5}-\frac{x}{10}}$&$47$\\ gosper&$\frac{2 \left(5 x -1\right) {\mathrm e}^{3}}{10 \,{\mathrm e}^{3} \ln \left(2\right) x^{2}-2 \,{\mathrm e}^{3} \ln \left(2\right) x -x^{2} {\mathrm e}^{3}+10 x \ln \left(2\right)-2 \ln \left(2\right)-x}$&$48$\\ norman&$\frac{\frac{\left(4 \ln \left(2\right) {\mathrm e}^{6}+2 \,{\mathrm e}^{3}\right) x}{2 \ln \left(2\right)}-\frac{\left(10 \ln \left(2\right)-1\right) {\mathrm e}^{6} x^{2}}{\ln \left(2\right)}}{\left(10 x \ln \left(2\right)-2 \ln \left(2\right)-x \right) \left(x \,{\mathrm e}^{3}+1\right)}$&$65$\\ \hline \end{longtable}"," ",0,"(x*exp(3)-1/5*exp(3))/(exp(3)*ln(2)*x^2-1/5*exp(3)*ln(2)*x-1/10*x^2*exp(3)+x*ln(2)-1/5*ln(2)-1/10*x)","A"
2782,1,8,8,0.018000," ","int((-x*ln(x)+1)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(x \right)\right)-x$&$8$\\ norman&$\ln \left(\ln \left(x \right)\right)-x$&$8$\\ risch&$\ln \left(\ln \left(x \right)\right)-x$&$8$\\ \hline \end{longtable}"," ",0,"ln(ln(x))-x","A"
2783,1,175,27,0.635000," ","int(((-2*x+8)*ln(x-2)*exp(ln(x-2)^2)+(4*x-8)*ln(x^2-8*x+16)+(-x^2+6*x-8)*exp(x)+2*x^2-12*x+16)*exp(-exp(ln(x-2)^2)+ln(x^2-8*x+16)^2-exp(x)+2*x+1)/(x^2-6*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x -4\right)^{-4 i \pi  \,\mathrm{csgn}\left(i \left(x -4\right)^{2}\right)} \left(x -4\right)^{4 i \pi  \,\mathrm{csgn}\left(i \left(x -4\right)\right)} {\mathrm e}^{-{\mathrm e}^{\ln \left(x -2\right)^{2}}+4 \ln \left(x -4\right)^{2}+1-\frac{\pi^{2} \mathrm{csgn}\left(i \left(x -4\right)^{2}\right)^{6}}{4}+\pi^{2} \mathrm{csgn}\left(i \left(x -4\right)^{2}\right)^{5} \mathrm{csgn}\left(i \left(x -4\right)\right)-\frac{3 \pi^{2} \mathrm{csgn}\left(i \left(x -4\right)^{2}\right)^{4} \mathrm{csgn}\left(i \left(x -4\right)\right)^{2}}{2}+\pi^{2} \mathrm{csgn}\left(i \left(x -4\right)^{2}\right)^{3} \mathrm{csgn}\left(i \left(x -4\right)\right)^{3}-\frac{\pi^{2} \mathrm{csgn}\left(i \left(x -4\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(x -4\right)\right)^{4}}{4}-{\mathrm e}^{x}+2 x}$&$175$\\ \hline \end{longtable}"," ",0,"((x-4)^(-2*I*Pi*csgn(I*(x-4)^2)))^2*(x-4)^(4*I*Pi*csgn(I*(x-4)))*exp(-exp(ln(x-2)^2)+4*ln(x-4)^2+1-1/4*Pi^2*csgn(I*(x-4)^2)^6+Pi^2*csgn(I*(x-4)^2)^5*csgn(I*(x-4))-3/2*Pi^2*csgn(I*(x-4)^2)^4*csgn(I*(x-4))^2+Pi^2*csgn(I*(x-4)^2)^3*csgn(I*(x-4))^3-1/4*Pi^2*csgn(I*(x-4)^2)^2*csgn(I*(x-4))^4-exp(x)+2*x)","C"
2784,1,77,28,0.042000," ","int((exp(x^2)^2*ln(x)+(-3*x^4+4*x^3-x^2)*exp(x^2)^2+(-4*x^4+4*x^3+2*x^2)*exp(5)*exp(x^2)+(4*x^2+1)*exp(5)^2)/(x*exp(x^2)^2*ln(x)+(x^5-2*x^4+x^3+x)*exp(x^2)^2+(-2*x^3+2*x^2)*exp(5)*exp(x^2)+x*exp(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-\ln \left(\ln \left(x \right)+\left(x^{4} {\mathrm e}^{2 x^{2}}-2 \,{\mathrm e}^{2 x^{2}} x^{3}-2 \,{\mathrm e}^{x^{2}+5} x^{2}+{\mathrm e}^{2 x^{2}} x^{2}+2 \,{\mathrm e}^{x^{2}+5} x +{\mathrm e}^{10}+{\mathrm e}^{2 x^{2}}\right) {\mathrm e}^{-2 x^{2}}\right)$&$77$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(ln(x)+(x^4*exp(2*x^2)-2*exp(2*x^2)*x^3-2*exp(x^2+5)*x^2+exp(2*x^2)*x^2+2*exp(x^2+5)*x+exp(10)+exp(2*x^2))*exp(-2*x^2))","B"
2785,1,35,35,0.218000," ","int((((8*x^5+8*x^4-24*x^3)*exp(5)^2-4*x^10-4*x^9+12*x^8)*ln(-x^3-x^2+3*x)+(-6*x^5-4*x^4+6*x^3)*exp(5)^2-12*x^10-8*x^9+12*x^8)/((x^2+x-3)*exp(4)*exp(5)^4+(4*x^7+4*x^6-12*x^5)*exp(4)*exp(5)^2+(4*x^12+4*x^11-12*x^10)*exp(4))/ln(-x^3-x^2+3*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{4} {\mathrm e}^{-4}}{\left({\mathrm e}^{10}+2 x^{5}\right) \ln \left(-x^{3}-x^{2}+3 x \right)}$&$35$\\ \hline \end{longtable}"," ",0,"2*x^4*exp(-4)/(exp(10)+2*x^5)/ln(-x^3-x^2+3*x)","A"
2786,1,14,15,0.028000," ","int(-3/40*x^2*exp(3)*ln(3)+9/80*x^2*exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x^{3} {\mathrm e}^{3} \left(2 \ln \left(3\right)-3\right)}{80}$&$14$\\ norman&$\left(-\frac{{\mathrm e}^{3} \ln \left(3\right)}{40}+\frac{3 \,{\mathrm e}^{3}}{80}\right) x^{3}$&$16$\\ default&$-\frac{x^{3} {\mathrm e}^{3} \ln \left(3\right)}{40}+\frac{3 x^{3} {\mathrm e}^{3}}{80}$&$18$\\ risch&$-\frac{x^{3} {\mathrm e}^{3} \ln \left(3\right)}{40}+\frac{3 x^{3} {\mathrm e}^{3}}{80}$&$18$\\ \hline \end{longtable}"," ",0,"-1/80*x^3*exp(3)*(2*ln(3)-3)","A"
2787,1,1608,22,0.494000," ","int((((64*x^2-1408*x+32)*ln(x)^2+(64*x^4-4224*x^3+61984*x^2-1408*x)*ln(x))*ln(ln(x)^2)^2+((-128*x^2+2816*x)*ln(x)^2+(-128*x^4+8448*x^3-123840*x^2-2816*x)*ln(x)+64*x^4-5632*x^3+123904*x^2)*ln(ln(x)^2)+(64*x^2-1408*x-32)*ln(x)^2+(64*x^4-4224*x^3+61856*x^2+4224*x)*ln(x)-64*x^4+5632*x^3-123904*x^2)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$1608$\\ \hline \end{longtable}"," ",0,"32*x^2*ln(x)+16*ln(x)^2+16*x^4-1408*x^3+30976*x^2-1408*x*ln(x)+16*Pi^2*x^4*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3-24*Pi^2*x^4*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4+16*Pi^2*x^4*csgn(I*ln(x))*csgn(I*ln(x)^2)^5-7744*Pi^2*x^2*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2+30976*Pi^2*x^2*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3-46464*Pi^2*x^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4+30976*Pi^2*x^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^5+352*Pi^2*x^3*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2-1408*Pi^2*x^3*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3+2112*Pi^2*x^3*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4-1408*Pi^2*x^3*csgn(I*ln(x))*csgn(I*ln(x)^2)^5+16*I*Pi*csgn(I*ln(x)^2)^3*ln(x)^2+30976*I*Pi*x^2*csgn(I*ln(x)^2)^3+16*I*Pi*x^4*csgn(I*ln(x)^2)^3-1408*I*Pi*x^3*csgn(I*ln(x)^2)^3-8*Pi^2*x^2*csgn(I*ln(x)^2)^6*ln(x)+352*Pi^2*x*csgn(I*ln(x)^2)^6*ln(x)-4*Pi^2*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2*ln(x)^2+16*Pi^2*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3*ln(x)^2-24*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4*ln(x)^2+16*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^5*ln(x)^2-4*Pi^2*x^4*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2+(64*x^4-5632*x^3+128*x^2*ln(x)+123904*x^2-5632*x*ln(x)+64*ln(x)^2)*ln(ln(x))^2-32*I*(Pi*x^4*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-2*Pi*x^4*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+Pi*x^4*csgn(I*ln(x)^2)^3-88*Pi*x^3*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+176*Pi*x^3*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-88*Pi*x^3*csgn(I*ln(x)^2)^3+2*Pi*x^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)*ln(x)-4*Pi*x^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^2*ln(x)+2*Pi*x^2*csgn(I*ln(x)^2)^3*ln(x)+1936*Pi*x^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-3872*Pi*x^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+1936*Pi*x^2*csgn(I*ln(x)^2)^3-88*Pi*x*csgn(I*ln(x))^2*csgn(I*ln(x)^2)*ln(x)+176*Pi*x*csgn(I*ln(x))*csgn(I*ln(x)^2)^2*ln(x)-88*Pi*x*csgn(I*ln(x)^2)^3*ln(x)+Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)*ln(x)^2-2*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2*ln(x)^2+Pi*csgn(I*ln(x)^2)^3*ln(x)^2-2*I*x^4-2*I*ln(x)^2+176*I*x*ln(x)-4*I*x^2*ln(x)+176*I*x^3-3872*I*x^2)*ln(ln(x))-4*Pi^2*x^4*csgn(I*ln(x)^2)^6+352*Pi^2*x^3*csgn(I*ln(x)^2)^6-4*Pi^2*csgn(I*ln(x)^2)^6*ln(x)^2-7744*Pi^2*x^2*csgn(I*ln(x)^2)^6+32*I*Pi*x^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)*ln(x)-64*I*Pi*x^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^2*ln(x)-1408*I*Pi*x*csgn(I*ln(x))^2*csgn(I*ln(x)^2)*ln(x)+2816*I*Pi*x*csgn(I*ln(x))*csgn(I*ln(x)^2)^2*ln(x)+32*Pi^2*x^2*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3*ln(x)-48*Pi^2*x^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4*ln(x)+32*Pi^2*x^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^5*ln(x)+352*Pi^2*x*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2*ln(x)-1408*Pi^2*x*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3*ln(x)+2112*Pi^2*x*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4*ln(x)+16*I*Pi*x^4*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-32*I*Pi*x^4*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-1408*I*Pi*x^3*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+2816*I*Pi*x^3*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+30976*I*Pi*x^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-61952*I*Pi*x^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+16*I*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)*ln(x)^2-32*I*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2*ln(x)^2+32*I*Pi*x^2*csgn(I*ln(x)^2)^3*ln(x)-1408*I*Pi*x*csgn(I*ln(x)^2)^3*ln(x)-1408*Pi^2*x*csgn(I*ln(x))*csgn(I*ln(x)^2)^5*ln(x)-8*Pi^2*x^2*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2*ln(x)","C"
2788,1,23,25,0.053000," ","int((1-x)*exp(3)*exp(-x+4)+2*x*exp(3)+4*x-6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(2+{\mathrm e}^{3}\right) x^{2}+{\mathrm e}^{3} {\mathrm e}^{-x +4} x -6 x$&$23$\\ risch&$x \,{\mathrm e}^{-x +7}+x^{2} {\mathrm e}^{3}+2 x^{2}-6 x$&$24$\\ default&$-6 x +{\mathrm e}^{3} \left(-{\mathrm e}^{-x +4} \left(-x +4\right)+4 \,{\mathrm e}^{-x +4}\right)+2 x^{2}+x^{2} {\mathrm e}^{3}$&$41$\\ derivativedivides&$2 \left(-x +4\right)^{2}+10 x -40-2 \,{\mathrm e}^{3} \left(-\frac{\left(-x +4\right)^{2}}{2}-4 x +16\right)-{\mathrm e}^{3} \left({\mathrm e}^{-x +4} \left(-x +4\right)-4 \,{\mathrm e}^{-x +4}\right)$&$58$\\ \hline \end{longtable}"," ",0,"(2+exp(3))*x^2+exp(3)*exp(-x+4)*x-6*x","A"
2789,1,17,16,0.015000," ","int(1/5*(-16*ln(x)*ln(ln(x))^2+16*ln(ln(x))+8*x*ln(x))/x^3/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 \ln \left(\ln \left(x \right)\right)^{2}}{5 x^{2}}-\frac{8}{5 x}$&$17$\\ \hline \end{longtable}"," ",0,"8/5/x^2*ln(ln(x))^2-8/5/x","A"
2790,1,28,29,0.454000," ","int((4*x^5+x^4-101*x^3-91*x^2+7*x-3)/(3*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{4}}{3}-\frac{x^{3}}{3}-\frac{49 x^{2}}{3}+\frac{7 x}{3}-\ln \left(x \right)+\ln \left(x +1\right)$&$28$\\ norman&$\frac{x^{4}}{3}-\frac{x^{3}}{3}-\frac{49 x^{2}}{3}+\frac{7 x}{3}-\ln \left(x \right)+\ln \left(x +1\right)$&$28$\\ risch&$\frac{x^{4}}{3}-\frac{x^{3}}{3}-\frac{49 x^{2}}{3}+\frac{7 x}{3}-\ln \left(x \right)+\ln \left(x +1\right)$&$28$\\ meijerg&$-\ln \left(x \right)+\ln \left(x +1\right)-\frac{x \left(-15 x^{3}+20 x^{2}-30 x +60\right)}{45}+\frac{x \left(4 x^{2}-6 x +12\right)}{36}+\frac{101 x \left(-3 x +6\right)}{18}-\frac{91 x}{3}$&$52$\\ \hline \end{longtable}"," ",0,"1/3*x^4-1/3*x^3-49/3*x^2+7/3*x-ln(x)+ln(x+1)","A"
2791,1,247,25,2.535000," ","int(((-x^3+22*x^2-74*x+68)*ln(x^2-4*x+4)+(2*x^3-30*x^2+132*x-320)*ln((x-10)/(2*x^2-10*x+32)))/(x^4-17*x^3+96*x^2-292*x+320),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(2\right) \ln \left(x -2\right)+2 \ln \left(x -2\right) \ln \left(\frac{x -10}{x^{2}-5 x +16}\right)-2 \left(\ln \left(x -2\right)-\ln \left(-\frac{1}{4}+\frac{x}{8}\right)\right) \ln \left(\frac{5}{4}-\frac{x}{8}\right)+2 \ln \left(x -2\right) \ln \left(\frac{i \sqrt{39}+5-2 x}{1+i \sqrt{39}}\right)+2 \ln \left(x -2\right) \ln \left(\frac{i \sqrt{39}-5+2 x}{i \sqrt{39}-1}\right)+2 \dilog \left(\frac{i \sqrt{39}+5-2 x}{1+i \sqrt{39}}\right)+2 \dilog \left(\frac{i \sqrt{39}-5+2 x}{i \sqrt{39}-1}\right)-\left(\munderset{\underline{\hspace{1.25 ex}}\alpha  =\RootOf \left(\textit{\_Z}^{2}-5 \textit{\_Z} +16\right)}{\sum}\left(\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(x^{2}-4 x +4\right)-2 \dilog \left(\frac{x -2}{-2+\underline{\hspace{1.25 ex}}\alpha }\right)-2 \ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{x -2}{-2+\underline{\hspace{1.25 ex}}\alpha }\right)\right)\right)+\ln \left(x -10\right) \ln \left(x^{2}-4 x +4\right)-2 \ln \left(x -10\right) \ln \left(-\frac{1}{4}+\frac{x}{8}\right)$&$247$\\ risch&$\text{Expression too large to display}$&$50326$\\ \hline \end{longtable}"," ",0,"-2*ln(2)*ln(x-2)+2*ln(x-2)*ln((x-10)/(x^2-5*x+16))-2*(ln(x-2)-ln(-1/4+1/8*x))*ln(5/4-1/8*x)+2*ln(x-2)*ln((I*39^(1/2)+5-2*x)/(1+I*39^(1/2)))+2*ln(x-2)*ln((I*39^(1/2)-5+2*x)/(I*39^(1/2)-1))+2*dilog((I*39^(1/2)+5-2*x)/(1+I*39^(1/2)))+2*dilog((I*39^(1/2)-5+2*x)/(I*39^(1/2)-1))-Sum(ln(x-_alpha)*ln(x^2-4*x+4)-2*dilog((x-2)/(-2+_alpha))-2*ln(x-_alpha)*ln((x-2)/(-2+_alpha)),_alpha=RootOf(_Z^2-5*_Z+16))+ln(x-10)*ln(x^2-4*x+4)-2*ln(x-10)*ln(-1/4+1/8*x)","C"
2792,1,22,17,0.539000," ","int(((x^2-4)*ln(3*exp(x)/(x^5-8*x^3+16*x))+x^3-5*x^2-4*x+4)/(x^2-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(\frac{3 \,{\mathrm e}^{x}}{x^{5}-8 x^{3}+16 x}\right)$&$22$\\ norman&$x \ln \left(\frac{3 \,{\mathrm e}^{x}}{x^{5}-8 x^{3}+16 x}\right)$&$22$\\ risch&$x \ln \left({\mathrm e}^{x}\right)-2 x \ln \left(x^{2}-4\right)-x \ln \left(x \right)+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x \left(x^{2}-4\right)^{2}}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{\left(x^{2}-4\right)^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{\left(x^{2}-4\right)^{2}}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{\left(x^{2}-4\right)^{2}}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{\left(x^{2}-4\right)^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x \left(x^{2}-4\right)^{2}}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(i \left(x^{2}-4\right)^{2}\right)^{3}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{\left(x^{2}-4\right)^{2}}\right)^{3}}{2}-i \pi  x \,\mathrm{csgn}\left(i \left(x^{2}-4\right)\right) \mathrm{csgn}\left(i \left(x^{2}-4\right)^{2}\right)^{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{\left(x^{2}-4\right)^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x \left(x^{2}-4\right)^{2}}\right)}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x \left(x^{2}-4\right)^{2}}\right)^{3}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i}{\left(x^{2}-4\right)^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{\left(x^{2}-4\right)^{2}}\right)}{2}+\frac{i \pi  x \mathrm{csgn}\left(i \left(x^{2}-4\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}-4\right)^{2}\right)}{2}+x \ln \left(3\right)$&$339$\\ \hline \end{longtable}"," ",0,"x*ln(3*exp(x)/(x^5-8*x^3+16*x))","A"
2793,1,27,28,0.472000," ","int((((4+x)*exp(1)+10*x^2+23*x+12)*exp((4+x)/x)-8*x*exp(1)-80*x^2-24*x)/((x*exp(1)+3*x)*exp((4+x)/x)^2+(-16*x*exp(1)-48*x)*exp((4+x)/x)+64*x*exp(1)+192*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{5 x^{2}}{3+{\mathrm e}}+x}{{\mathrm e}^{\frac{4+x}{x}}-8}$&$27$\\ risch&$\frac{x \left({\mathrm e}+5 x +3\right)}{\left(3+{\mathrm e}\right) \left({\mathrm e}^{\frac{4+x}{x}}-8\right)}$&$28$\\ \hline \end{longtable}"," ",0,"(5*x^2/(3+exp(1))+x)/(exp((4+x)/x)-8)","A"
2794,1,21,27,0.924000," ","int(((5*exp(3)+9*x^2-20*x)*ln((-5*exp(3)-9*x^2+20*x)/exp(3))+18*x-20)/(5*exp(3)+9*x^2-20*x)/ln((-5*exp(3)-9*x^2+20*x)/exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(\ln \left(\left(-5 \,{\mathrm e}^{3}-9 x^{2}+20 x \right) {\mathrm e}^{-3}\right)\right)$&$21$\\ norman&$x +\ln \left(\ln \left(\left(-5 \,{\mathrm e}^{3}-9 x^{2}+20 x \right) {\mathrm e}^{-3}\right)\right)$&$23$\\ \hline \end{longtable}"," ",0,"x+ln(ln((-5*exp(3)-9*x^2+20*x)*exp(-3)))","A"
2795,1,17,20,0.075000," ","int((-exp(x-5)+2)/(4*x*exp(x-5)+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{4}-\frac{\ln \left(4 x \,{\mathrm e}^{x -5}+8\right)}{4}$&$17$\\ risch&$-\frac{\ln \left(x \right)}{4}+\frac{x}{4}-\frac{5}{4}-\frac{\ln \left({\mathrm e}^{x -5}+\frac{2}{x}\right)}{4}$&$23$\\ \hline \end{longtable}"," ",0,"1/4*x-1/4*ln(4*x*exp(x-5)+8)","A"
2796,1,22,22,0.431000," ","int(((-15*ln(3)+20)*exp(ln(2+x)-1)-x-2)/((15*x+30)*ln(3)-20*x-40),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{5 \left(3 \ln \left(3\right)-4\right)}-{\mathrm e}^{\ln \left(2+x \right)-1}$&$22$\\ norman&$-\frac{{\mathrm e}^{-1} \left({\mathrm e}+15 \ln \left(3\right)-20\right) x}{5 \left(3 \ln \left(3\right)-4\right)}$&$24$\\ risch&$-\frac{15 x \ln \left(3\right) {\mathrm e}^{-1}}{15 \ln \left(3\right)-20}+\frac{20 x \,{\mathrm e}^{-1}}{15 \ln \left(3\right)-20}-\frac{x}{15 \ln \left(3\right)-20}$&$41$\\ \hline \end{longtable}"," ",0,"-1/5*x/(3*ln(3)-4)-exp(ln(2+x)-1)","A"
2797,1,22,21,0.224000," ","int(((1-x)*exp(3)*exp(x-exp(2))+exp(27))/(x*exp(3)*exp(x-exp(2))+x*exp(27)+x^2*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-{\mathrm e}^{2}-\ln \left({\mathrm e}^{24}+x +{\mathrm e}^{x -{\mathrm e}^{2}}\right)$&$22$\\ norman&$-\ln \left({\mathrm e}^{3} {\mathrm e}^{x -{\mathrm e}^{2}}+x \,{\mathrm e}^{3}+{\mathrm e}^{27}\right)+\ln \left(x \right)$&$24$\\ \hline \end{longtable}"," ",0,"ln(x)-exp(2)-ln(exp(24)+x+exp(x-exp(2)))","A"
2798,1,22,21,0.047000," ","int(((-2880*x^5*exp(9*x)+160*x^4)*exp(2*exp(9*x)+2)-1024*x^3)/(125*x^3*exp(2*exp(9*x)+2)^3-1200*x^2*exp(2*exp(9*x)+2)^2+3840*x*exp(2*exp(9*x)+2)-4096),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x^{4}}{\left(5 x \,{\mathrm e}^{2 \,{\mathrm e}^{9 x}+2}-16\right)^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"16*x^4/(5*x*exp(2*exp(9*x)+2)-16)^2","A"
2799,1,19,17,0.030000," ","int((2*x^2*ln(x)^3+(18*x^2-18*x)*ln(x)-18*x^2+36*x-18)/x/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{9 x^{2}-18 x +9}{\ln \left(x \right)^{2}}$&$19$\\ norman&$\frac{9+x^{2} \ln \left(x \right)^{2}-18 x +9 x^{2}}{\ln \left(x \right)^{2}}$&$24$\\ default&$x^{2}+\frac{9 x^{2}}{\ln \left(x \right)^{2}}-\frac{18 x}{\ln \left(x \right)^{2}}+\frac{9}{\ln \left(x \right)^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"x^2+9*(x^2-2*x+1)/ln(x)^2","A"
2800,1,18,13,9.308000," ","int((4*exp(2)-12)/(4*exp(2)^2+(-44*x+152)*exp(2)+121*x^2-836*x+1444),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{-\frac{12}{11}+\frac{4 \,{\mathrm e}^{2}}{11}}{2 \,{\mathrm e}^{2}-11 x +38}$&$18$\\ norman&$\frac{-\frac{12}{11}+\frac{4 \,{\mathrm e}^{2}}{11}}{2 \,{\mathrm e}^{2}-11 x +38}$&$19$\\ risch&$\frac{2 \,{\mathrm e}^{2}}{11 \left(19-\frac{11 x}{2}+{\mathrm e}^{2}\right)}-\frac{6}{11 \left(19-\frac{11 x}{2}+{\mathrm e}^{2}\right)}$&$26$\\ meijerg&$\frac{6 x}{11 \left(-\frac{2 \,{\mathrm e}^{2}}{11}-\frac{38}{11}\right) \left(1-\frac{11 x}{2 \left({\mathrm e}^{2}+19\right)}\right) \left({\mathrm e}^{2}+19\right)}-\frac{2 \,{\mathrm e}^{2} x}{11 \left(-\frac{2 \,{\mathrm e}^{2}}{11}-\frac{38}{11}\right) \left(1-\frac{11 x}{2 \left({\mathrm e}^{2}+19\right)}\right) \left({\mathrm e}^{2}+19\right)}$&$64$\\ \hline \end{longtable}"," ",0,"4/11*(exp(2)-3)/(2*exp(2)-11*x+38)","A"
2801,1,25,25,0.170000," ","int((x^2*exp(exp(4*exp(4)+3+x))^2+((-80*x^2+80*x)*exp(4*exp(4)+3+x)+2*x^2*exp(2)+80)*exp(exp(4*exp(4)+3+x))+x^2*exp(2)^2+80*exp(2))/(x^2*exp(exp(4*exp(4)+3+x))^2+2*x^2*exp(2)*exp(exp(4*exp(4)+3+x))+x^2*exp(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{80 x -80}{x \left({\mathrm e}^{2}+{\mathrm e}^{{\mathrm e}^{4 \,{\mathrm e}^{4}+3+x}}\right)}$&$25$\\ norman&$\frac{-80+x^{2} {\mathrm e}^{2}+x^{2} {\mathrm e}^{{\mathrm e}^{4 \,{\mathrm e}^{4}+3+x}}+80 x}{x \left({\mathrm e}^{2}+{\mathrm e}^{{\mathrm e}^{4 \,{\mathrm e}^{4}+3+x}}\right)}$&$43$\\ \hline \end{longtable}"," ",0,"x+80*(x-1)/x/(exp(2)+exp(exp(4*exp(4)+3+x)))","A"
2802,1,29,25,4.161000," ","int(((-18*exp(5)-18*x)*ln((exp(5)^2+2*x*exp(5)+x^2)/exp(4)^2)+36*x)*exp(9*x/ln((exp(5)^2+2*x*exp(5)+x^2)/exp(4)^2))/((exp(5)+x)*ln((exp(5)^2+2*x*exp(5)+x^2)/exp(4)^2)^2*exp(9*x/ln((exp(5)^2+2*x*exp(5)+x^2)/exp(4)^2))^2+(2*exp(2)*exp(5)+2*exp(2)*x)*ln((exp(5)^2+2*x*exp(5)+x^2)/exp(4)^2)^2*exp(9*x/ln((exp(5)^2+2*x*exp(5)+x^2)/exp(4)^2))+(exp(2)^2*exp(5)+x*exp(2)^2)*ln((exp(5)^2+2*x*exp(5)+x^2)/exp(4)^2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{{\mathrm e}^{2}+{\mathrm e}^{\frac{9 x}{\ln \left(\left({\mathrm e}^{10}+2 x \,{\mathrm e}^{5}+x^{2}\right) {\mathrm e}^{-8}\right)}}}$&$29$\\ norman&$\frac{2}{{\mathrm e}^{2}+{\mathrm e}^{\frac{9 x}{\ln \left(\left({\mathrm e}^{10}+2 x \,{\mathrm e}^{5}+x^{2}\right) {\mathrm e}^{-8}\right)}}}$&$33$\\ \hline \end{longtable}"," ",0,"2/(exp(2)+exp(9*x/ln((exp(10)+2*x*exp(5)+x^2)*exp(-8))))","A"
2803,1,27,25,0.105000," ","int((4*x^4-6*x^3+2*x^2+x-1)/(x*ln(1/5*exp(x^4-2*x^3+x^2))+x*ln(2/x)+x^2-6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(\frac{{\mathrm e}^{x^{4}-2 x^{3}+x^{2}}}{5}\right)+\ln \left(\frac{2}{x}\right)+x -6\right)$&$27$\\ risch&$\ln \left(\ln \left({\mathrm e}^{x^{2} \left(x -1\right)^{2}}\right)-\frac{i \left(-2 i \ln \left(5\right)+2 i \ln \left(2\right)+2 i x -2 i \ln \left(x \right)-12 i\right)}{2}\right)$&$39$\\ \hline \end{longtable}"," ",0,"ln(ln(1/5*exp(x^4-2*x^3+x^2))+ln(2/x)+x-6)","A"
2804,1,51,29,0.063000," ","int(((-4*x^6-4*x^5)*ln(-x^2-2*x+8)-12*x^6-32*x^5-340*x^4-1940*x^3-3100*x^2+7000*x+20000)/(x^7+2*x^6-8*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(-x^{2}-2 x +8\right)^{2}-\frac{6 \ln \left(x^{2}+2 x -8\right) x^{4}-20 x^{3}-150 x^{2}-500 x -625}{x^{4}}$&$51$\\ norman&$\frac{625-6 x^{4} \ln \left(-x^{2}-2 x +8\right)+500 x +150 x^{2}+20 x^{3}-x^{4} \ln \left(-x^{2}-2 x +8\right)^{2}}{x^{4}}$&$54$\\ default&$-2 \ln \left(x -2\right) \ln \left(-x^{2}-2 x +8\right)+\ln \left(x -2\right)^{2}+2 \ln \left(x -2\right) \ln \left(\frac{2}{3}+\frac{x}{6}\right)-2 \ln \left(4+x \right) \ln \left(-x^{2}-2 x +8\right)+\ln \left(4+x \right)^{2}+2 \left(\ln \left(4+x \right)-\ln \left(\frac{2}{3}+\frac{x}{6}\right)\right) \ln \left(-\frac{x}{6}+\frac{1}{3}\right)+\frac{625}{x^{4}}+\frac{500}{x^{3}}+\frac{150}{x^{2}}+\frac{20}{x}-6 \ln \left(x -2\right)-6 \ln \left(4+x \right)$&$113$\\ \hline \end{longtable}"," ",0,"-ln(-x^2-2*x+8)^2-(6*ln(x^2+2*x-8)*x^4-20*x^3-150*x^2-500*x-625)/x^4","A"
2805,1,14,15,0.097000," ","int(1/5*((-x-1)*ln(x^2)+2)/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(x^{2}\right) {\mathrm e}^{-x}}{5 x}$&$14$\\ norman&$\frac{\ln \left(x^{2}\right) {\mathrm e}^{-x}}{5 x}$&$14$\\ risch&$\frac{2 \ln \left(x \right) {\mathrm e}^{-x}}{5 x}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(\mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{2}\right) {\mathrm e}^{-x}}{10 x}$&$62$\\ \hline \end{longtable}"," ",0,"1/5*ln(x^2)/exp(x)/x","A"
2806,1,83,29,0.707000," ","int(((40*x*ln(2)^2+2*(-20*x^4+42*x^3)*ln(2)+10*x^7-42*x^6+44*x^5)*ln((100*ln(2)^2+2*(-50*x^3+110*x^2)*ln(2)+25*x^6-110*x^5+121*x^4)/(4*ln(2)^2+2*(-2*x^3+4*x^2)*ln(2)+x^6-4*x^5+4*x^4))^2+(16*x^3*ln(2)+4*x^6)*ln((100*ln(2)^2+2*(-50*x^3+110*x^2)*ln(2)+25*x^6-110*x^5+121*x^4)/(4*ln(2)^2+2*(-2*x^3+4*x^2)*ln(2)+x^6-4*x^5+4*x^4)))/(20*ln(2)^2+2*(-10*x^3+21*x^2)*ln(2)+5*x^6-21*x^5+22*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2} \ln \left(\frac{100 \ln \left(2\right)^{2}+2 \left(-50 x^{3}+110 x^{2}\right) \ln \left(2\right)+25 x^{6}-110 x^{5}+121 x^{4}}{4 \ln \left(2\right)^{2}+2 \left(-2 x^{3}+4 x^{2}\right) \ln \left(2\right)+x^{6}-4 x^{5}+4 x^{4}}\right)^{2}$&$83$\\ risch&$x^{2} \ln \left(\frac{100 \ln \left(2\right)^{2}+2 \left(-50 x^{3}+110 x^{2}\right) \ln \left(2\right)+25 x^{6}-110 x^{5}+121 x^{4}}{4 \ln \left(2\right)^{2}+2 \left(-2 x^{3}+4 x^{2}\right) \ln \left(2\right)+x^{6}-4 x^{5}+4 x^{4}}\right)^{2}$&$83$\\ \hline \end{longtable}"," ",0,"x^2*ln((100*ln(2)^2+2*(-50*x^3+110*x^2)*ln(2)+25*x^6-110*x^5+121*x^4)/(4*ln(2)^2+2*(-2*x^3+4*x^2)*ln(2)+x^6-4*x^5+4*x^4))^2","B"
2807,1,16,15,0.048000," ","int(-2*ln(2-x)*exp(1/5*ln(2-x)^2)/((5*x-10)*exp(1/5*ln(2-x)^2)^2+(40*x-80)*exp(1/5*ln(2-x)^2)+80*x-160),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{{\mathrm e}^{\frac{\ln \left(2-x \right)^{2}}{5}}+4}$&$16$\\ norman&$-\frac{{\mathrm e}^{\frac{\ln \left(2-x \right)^{2}}{5}}}{4 \left({\mathrm e}^{\frac{\ln \left(2-x \right)^{2}}{5}}+4\right)}$&$29$\\ \hline \end{longtable}"," ",0,"1/(exp(1/5*ln(2-x)^2)+4)","A"
2808,1,38,19,0.123000," ","int(((2*x^5+16*x^4+32*x^3)*exp(x)-96*x-256)*exp(((x^3+4*x^2)*exp(x)+3*x^3+12*x^2+16)/(x^3+4*x^2))/(x^5+8*x^4+16*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{\frac{{\mathrm e}^{x} x^{3}+4 \,{\mathrm e}^{x} x^{2}+3 x^{3}+12 x^{2}+16}{x^{2} \left(4+x \right)}}$&$38$\\ norman&$\frac{8 x^{2} {\mathrm e}^{\frac{\left(x^{3}+4 x^{2}\right) {\mathrm e}^{x}+3 x^{3}+12 x^{2}+16}{x^{3}+4 x^{2}}}+2 x^{3} {\mathrm e}^{\frac{\left(x^{3}+4 x^{2}\right) {\mathrm e}^{x}+3 x^{3}+12 x^{2}+16}{x^{3}+4 x^{2}}}}{x^{2} \left(4+x \right)}$&$95$\\ \hline \end{longtable}"," ",0,"2*exp((exp(x)*x^3+4*exp(x)*x^2+3*x^3+12*x^2+16)/x^2/(4+x))","A"
2809,1,30,24,0.101000," ","int((2*x^2*exp(2)*exp(3+x)-4*x^2*exp(2)*exp(x)^2+3)/(2*x^2*exp(2)*exp(3+x)-2*x^2*exp(2)*exp(x)^2-8*x^2*exp(2)-2*x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{2 x}-{\mathrm e}^{3+x}+\frac{\left(8 \,{\mathrm e}^{2} x +2 x +3\right) {\mathrm e}^{-2}}{2 x}\right)$&$30$\\ norman&$-\ln \left(x \right)+\ln \left(2 \,{\mathrm e}^{2} {\mathrm e}^{x} {\mathrm e}^{3} x -2 x \,{\mathrm e}^{2} {\mathrm e}^{2 x}-8 \,{\mathrm e}^{2} x -2 x -3\right)$&$35$\\ \hline \end{longtable}"," ",0,"ln(exp(2*x)-exp(3+x)+1/2*(8*exp(2)*x+2*x+3)/x*exp(-2))","A"
2810,1,18,23,0.538000," ","int((100*ln(ln(ln(2)))^2+(-1000*x^2+220)*ln(ln(ln(2)))+2500*x^4-1100*x^2+400*x+121)/(100*ln(ln(ln(2)))^2+(-1000*x^2+220)*ln(ln(ln(2)))+2500*x^4-1100*x^2+121),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{2}{5 \left(-5 x^{2}+\ln \left(\ln \left(\ln \left(2\right)\right)\right)+\frac{11}{10}\right)}$&$18$\\ gosper&$\frac{-50 x^{3}+10 x \ln \left(\ln \left(\ln \left(2\right)\right)\right)+11 x +4}{-50 x^{2}+10 \ln \left(\ln \left(\ln \left(2\right)\right)\right)+11}$&$34$\\ norman&$\frac{-50 x^{3}+4+\left(10 \ln \left(\ln \left(\ln \left(2\right)\right)\right)+11\right) x}{-50 x^{2}+10 \ln \left(\ln \left(\ln \left(2\right)\right)\right)+11}$&$34$\\ default&$x +\frac{8800+8000 \ln \left(\ln \left(\ln \left(2\right)\right)\right)}{\left(-2000 \ln \left(\ln \left(\ln \left(2\right)\right)\right)-2200\right) \left(50 x^{2}-10 \ln \left(\ln \left(\ln \left(2\right)\right)\right)-11\right)}$&$38$\\ \hline \end{longtable}"," ",0,"x+2/5/(-5*x^2+ln(ln(ln(2)))+11/10)","A"
2811,1,8,7,0.047000," ","int(1/((x-3)*ln(x-3)+3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\ln \left(x -3\right)-1\right)$&$8$\\ default&$\ln \left(\ln \left(x -3\right)-1\right)$&$8$\\ norman&$\ln \left(\ln \left(x -3\right)-1\right)$&$8$\\ risch&$\ln \left(\ln \left(x -3\right)-1\right)$&$8$\\ \hline \end{longtable}"," ",0,"ln(ln(x-3)-1)","A"
2812,1,45,33,0.060000," ","int((((-50*x^2-150*x-100)*ln(3)-50*x^2)*exp(x)^3+((150*x^3+450*x^2+300*x)*ln(3)+150*x^3)*exp(x)^2+((-150*x^4-450*x^3-300*x^2)*ln(3)-150*x^4-18*x^3-90*x^2-126*x-36)*exp(x)+(50*x^5+150*x^4+100*x^3)*ln(3)+50*x^5+36*x^3+126*x^2+108*x)/((25*x^5+150*x^4+300*x^3+200*x^2)*exp(x)^3+(-75*x^6-450*x^5-900*x^4-600*x^3)*exp(x)^2+(75*x^7+450*x^6+900*x^5+600*x^4)*exp(x)-25*x^8-150*x^7-300*x^6-200*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(\ln \left(3\right)+1\right) x +2 \ln \left(3\right)}{x \left(x^{2}+4 x +4\right)}+\frac{9}{25 x \left(2+x \right) \left(x -{\mathrm e}^{x}\right)^{2}}$&$45$\\ \hline \end{longtable}"," ",0,"((ln(3)+1)*x+2*ln(3))/x/(x^2+4*x+4)+9/25/x/(2+x)/(x-exp(x))^2","A"
2813,1,28,23,0.045000," ","int((-exp(x-3)+2)*exp(exp(4))-exp(x-3)-2*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-{\mathrm e}^{{\mathrm e}^{4}}-1\right) {\mathrm e}^{x -3}+\left(2 \,{\mathrm e}^{{\mathrm e}^{4}}+2\right) x -x^{2}$&$28$\\ default&$2 x +{\mathrm e}^{{\mathrm e}^{4}} \left(2 x -{\mathrm e}^{x -3}\right)-x^{2}-{\mathrm e}^{x -3}$&$30$\\ risch&$2 x \,{\mathrm e}^{{\mathrm e}^{4}}-{\mathrm e}^{x -3+{\mathrm e}^{4}}-{\mathrm e}^{x -3}-x^{2}+2 x$&$30$\\ derivativedivides&$-4 x +12+{\mathrm e}^{{\mathrm e}^{4}} \left(2 x -6-{\mathrm e}^{x -3}\right)-\left(x -3\right)^{2}-{\mathrm e}^{x -3}$&$34$\\ \hline \end{longtable}"," ",0,"(-exp(exp(4))-1)*exp(x-3)+(2*exp(exp(4))+2)*x-x^2","A"
2814,1,16,18,0.031000," ","int((8*x*ln(x)-24*x+2)/x/exp(-4*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(2 \ln \left(x \right)-6\right) {\mathrm e}^{4 x -8}$&$16$\\ risch&$2 \ln \left(x \right) {\mathrm e}^{4 x -8}-6 \,{\mathrm e}^{4 x -8}$&$20$\\ \hline \end{longtable}"," ",0,"(2*ln(x)-6)/exp(-4*x+8)","A"
2815,1,16,15,0.054000," ","int(1/4*(6*exp(x)+4*x^3+5)*exp(3/2*exp(x)+1/4*x^4+5/4*x+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{3 \,{\mathrm e}^{x}}{2}+\frac{x^{4}}{4}+\frac{5 x}{4}+6}$&$16$\\ risch&${\mathrm e}^{\frac{3 \,{\mathrm e}^{x}}{2}+\frac{x^{4}}{4}+\frac{5 x}{4}+6}$&$16$\\ \hline \end{longtable}"," ",0,"exp(3/2*exp(x)+1/4*x^4+5/4*x+6)","A"
2816,1,134,24,0.517000," ","int(((((-2*x^3+2*x)*ln(2)+2*x^4-2*x^2)*exp(ln(2)^2-2*x*ln(2)+x^2+15)*ln((x^2-1)/x)+x^2+1)*exp(exp(ln(2)^2-2*x*ln(2)+x^2+15))+x^2+1)*exp(ln((x^2-1)/x)*exp(exp(ln(2)^2-2*x*ln(2)+x^2+15))+ln((x^2-1)/x))/(x^3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2}-1\right) x^{-{\mathrm e}^{4^{-x} {\mathrm e}^{\ln \left(2\right)^{2}+15+x^{2}}}} \left(x^{2}-1\right)^{{\mathrm e}^{4^{-x} {\mathrm e}^{\ln \left(2\right)^{2}+15+x^{2}}}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(x^{2}-1\right)}{x}\right) \left(-\mathrm{csgn}\left(\frac{i \left(x^{2}-1\right)}{x}\right)+\mathrm{csgn}\left(i \left(x^{2}-1\right)\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(x^{2}-1\right)}{x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left({\mathrm e}^{\left(\frac{1}{4}\right)^{x} {\mathrm e}^{\ln \left(2\right)^{2}+15+x^{2}}}+1\right)}{2}}}{x}$&$134$\\ \hline \end{longtable}"," ",0,"(x^2-1)/x*x^(-exp(4^(-x)*exp(ln(2)^2+15+x^2)))*(x^2-1)^exp(4^(-x)*exp(ln(2)^2+15+x^2))*exp(-1/2*I*Pi*csgn(I/x*(x^2-1))*(-csgn(I/x*(x^2-1))+csgn(I*(x^2-1)))*(-csgn(I/x*(x^2-1))+csgn(I/x))*(exp((1/4)^x*exp(ln(2)^2+15+x^2))+1))","C"
2817,1,9,17,0.025000," ","int(2*(-2*x-6)*ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-2 \ln \left(2\right) \left(x +6\right) x$&$9$\\ default&$2 \left(-x^{2}-6 x \right) \ln \left(2\right)$&$14$\\ norman&$-12 x \ln \left(2\right)-2 x^{2} \ln \left(2\right)$&$14$\\ risch&$-12 x \ln \left(2\right)-2 x^{2} \ln \left(2\right)$&$14$\\ \hline \end{longtable}"," ",0,"-2*ln(2)*(x+6)*x","A"
2818,1,15,19,0.025000," ","int(3*ln(2)*exp(2+x)-ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 \ln \left(2\right) {\mathrm e}^{2+x}-x \ln \left(2\right)$&$15$\\ norman&$3 \ln \left(2\right) {\mathrm e}^{2+x}-x \ln \left(2\right)$&$15$\\ risch&$3 \ln \left(2\right) {\mathrm e}^{2+x}-x \ln \left(2\right)$&$15$\\ derivativedivides&$\ln \left(2\right) \left(3 \,{\mathrm e}^{2+x}-\ln \left({\mathrm e}^{2+x}\right)\right)$&$18$\\ \hline \end{longtable}"," ",0,"3*ln(2)*exp(2+x)-x*ln(2)","A"
2819,1,305,28,0.350000," ","int((((-2*x^2-x+1)*exp(x^2+x)*ln(x^2)+(2*x^3-3*x^2-4*x+4)*exp(x^2+x))*ln(x*exp(1))^2+(-2*exp(x^2+x)*ln(x^2)+(2*x-4)*exp(x^2+x))*ln(x*exp(1)))/(x^2*ln(x^2)^2+(-2*x^3+4*x^2)*ln(x^2)+x^4-4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{\left(x +1\right) x} \ln \left(x \right)}{2 x}-\frac{\left(i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 x \right) {\mathrm e}^{\left(x +1\right) x}}{8 x}+\frac{\left(4 x^{2}-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}+4 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}+4 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-6 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}+4 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-8 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) {\mathrm e}^{\left(x +1\right) x}}{8 x \left(i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 x -4 \ln \left(x \right)-4\right)}$&$305$\\ \hline \end{longtable}"," ",0,"-1/2/x*exp((x+1)*x)*ln(x)-1/8*(I*Pi*csgn(I*x^2)*csgn(I*x)^2-2*I*Pi*csgn(I*x^2)^2*csgn(I*x)+4+I*Pi*csgn(I*x^2)^3+2*x)/x*exp((x+1)*x)+1/8*(4*x^2-Pi^2*csgn(I*x^2)^6+4*I*Pi*x*csgn(I*x^2)^3-Pi^2*csgn(I*x)^4*csgn(I*x^2)^2+4*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3-6*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4+4*Pi^2*csgn(I*x)*csgn(I*x^2)^5+4*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)-8*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2)*exp((x+1)*x)/x/(I*Pi*csgn(I*x^2)*csgn(I*x)^2-2*I*Pi*csgn(I*x^2)^2*csgn(I*x)+I*Pi*csgn(I*x^2)^3+2*x-4*ln(x)-4)","C"
2820,1,14,13,0.454000," ","int(((x-3)*exp(1/(5+x))+x^2+10*x+25)/(x^2+10*x+25)/exp(exp(1/(5+x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x -3\right) {\mathrm e}^{-{\mathrm e}^{\frac{1}{5+x}}}$&$14$\\ norman&$\frac{\left(x^{2}+2 x -15\right) {\mathrm e}^{-{\mathrm e}^{\frac{1}{5+x}}}}{5+x}$&$24$\\ \hline \end{longtable}"," ",0,"(x-3)*exp(-exp(1/(5+x)))","A"
2821,1,37,26,0.490000," ","int((((-x^3-x^2)*ln(5)^2+(-2*x^2-2*x)*ln(5)+x-1)*exp(x)+((2*x^3-6*x^2)*ln(5)^2+(4*x^2-12*x)*ln(5)+2*x-6)*exp((25*x*ln(5)+x+25)/(x*ln(5)+1))^2)/(x^2*ln(5)^2+2*x*ln(5)+1)/exp((25*x*ln(5)+x+25)/(x*ln(5)+1))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-6 x -x \,{\mathrm e}^{\frac{x^{2} \ln \left(5\right)-50 x \ln \left(5\right)-x -50}{x \ln \left(5\right)+1}}$&$37$\\ norman&$\frac{\left(x^{3} \ln \left(5\right) {\mathrm e}^{\frac{50 x \ln \left(5\right)+2 x +50}{x \ln \left(5\right)+1}}-6 \,{\mathrm e}^{\frac{50 x \ln \left(5\right)+2 x +50}{x \ln \left(5\right)+1}} x +\left(-6 \ln \left(5\right)+1\right) x^{2} {\mathrm e}^{\frac{50 x \ln \left(5\right)+2 x +50}{x \ln \left(5\right)+1}}-{\mathrm e}^{x} x -x^{2} \ln \left(5\right) {\mathrm e}^{x}\right) {\mathrm e}^{-\frac{2 \left(25 x \ln \left(5\right)+x +25\right)}{x \ln \left(5\right)+1}}}{x \ln \left(5\right)+1}$&$124$\\ \hline \end{longtable}"," ",0,"x^2-6*x-x*exp((x^2*ln(5)-50*x*ln(5)-x-50)/(x*ln(5)+1))","A"
2822,1,23,25,0.035000," ","int((((-exp(3+x)*x+4)*ln(x)+x)*ln((-exp(3+x)*x+4)*ln(x)+x)+((-x^2-2*x)*exp(3+x)+4)*ln(x)-exp(3+x)*x+2*x+4)/((exp(3+x)*x-4)*ln(x)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(\left(-{\mathrm e}^{3+x} x +4\right) \ln \left(x \right)+x \right)-x$&$23$\\ \hline \end{longtable}"," ",0,"-x*ln((-exp(3+x)*x+4)*ln(x)+x)-x","A"
2823,1,17,16,0.032000," ","int(((4*exp(x)*x-8*x)*ln(x)-4*exp(x)+exp(3)+8*x-101)/(16*x*exp(x)^2+(-8*x*exp(3)-64*x^2+808*x)*exp(x)+x*exp(3)^2+(16*x^2-202*x)*exp(3)+64*x^3-1616*x^2+10201*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{-4 \,{\mathrm e}^{x}+{\mathrm e}^{3}+8 x -101}$&$17$\\ \hline \end{longtable}"," ",0,"ln(x)/(-4*exp(x)+exp(3)+8*x-101)","A"
2824,1,96,21,0.550000," ","int(((160*x^3+640*x^2+480*x)*ln((3*x+9)/x)^2+(-640*x^3-2408*x^2-984*x-480)*ln((3*x+9)/x)+640*x^3+2256*x^2-1848*x-936)/(5*x^2+15*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{312 \ln \left(\frac{3 x +9}{x}\right)}{5}-\frac{624 x}{5}+64 x^{2}+16 \ln \left(\frac{3 x +9}{x}\right)^{2}-\frac{8 x \ln \left(\frac{3 x +9}{x}\right)}{5}+32 x \ln \left(\frac{3 x +9}{x}\right)^{2}-64 x^{2} \ln \left(\frac{3 x +9}{x}\right)+16 x^{2} \ln \left(\frac{3 x +9}{x}\right)^{2}$&$96$\\ \hline \end{longtable}"," ",0,"312/5*ln((3*x+9)/x)-624/5*x+64*x^2+16*ln((3*x+9)/x)^2-8/5*x*ln((3*x+9)/x)+32*x*ln((3*x+9)/x)^2-64*x^2*ln((3*x+9)/x)+16*x^2*ln((3*x+9)/x)^2","B"
2825,1,21,21,0.067000," ","int(((128*x-128)*exp(-2*ln(x)+2*x+3)-80*x)/(16*x*exp(-2*ln(x)+2*x+3)^2+(-40*x^2+832*x)*exp(-2*ln(x)+2*x+3)+25*x^3-1040*x^2+10816*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16}{5 x -\frac{4 \,{\mathrm e}^{2 x +3}}{x^{2}}-104}$&$21$\\ norman&$\frac{16}{5 x -4 \,{\mathrm e}^{-2 \ln \left(x \right)+2 x +3}-104}$&$22$\\ \hline \end{longtable}"," ",0,"16/(5*x-4/x^2*exp(2*x+3)-104)","A"
2826,1,12,11,0.402000," ","int(((26*x^2+68*x)*ln(13*x+34)+13)/(13*x+34)/ln(13*x+34),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\ln \left(\ln \left(13 x +34\right)\right)$&$12$\\ risch&$x^{2}+\ln \left(\ln \left(13 x +34\right)\right)$&$12$\\ derivativedivides&$\frac{\left(13 x +34\right)^{2}}{169}-\frac{68 x}{13}-\frac{2312}{169}+\ln \left(\ln \left(13 x +34\right)\right)$&$22$\\ default&$\frac{\left(13 x +34\right)^{2}}{169}-\frac{68 x}{13}-\frac{2312}{169}+\ln \left(\ln \left(13 x +34\right)\right)$&$22$\\ \hline \end{longtable}"," ",0,"x^2+ln(ln(13*x+34))","A"
2827,1,16,16,0.008000," ","int(-ln(ln(5))^2+9*ln(5)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(-\ln \left(\ln \left(5\right)\right)^{2}+9 \ln \left(5\right)+1\right) x$&$16$\\ norman&$\left(-\ln \left(\ln \left(5\right)\right)^{2}+9 \ln \left(5\right)+1\right) x$&$16$\\ risch&$-x \ln \left(\ln \left(5\right)\right)^{2}+9 x \ln \left(5\right)+x$&$16$\\ \hline \end{longtable}"," ",0,"(-ln(ln(5))^2+9*ln(5)+1)*x","A"
2828,1,29,24,0.431000," ","int(((x-1)*ln(x)^2+(2*x-2)*ln(x)+(-2*x^2+2*x)*ln(1-x)-3*x^3+2*x)/(x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{3}-x^{2} \ln \left(1-x \right)+x \ln \left(x \right)^{2}-x^{2}$&$29$\\ default&$x \ln \left(x \right)^{2}-\ln \left(1-x \right) \left(1-x \right)^{2}-x^{2}-\frac{3}{2}+2 \left(1-x \right) \ln \left(1-x \right)-x^{3}-\ln \left(x -1\right)$&$53$\\ \hline \end{longtable}"," ",0,"-x^3-x^2*ln(1-x)+x*ln(x)^2-x^2","A"
2829,1,29,25,0.068000," ","int(((4*x^4-12*x^3-56*x^2+228*x-180)*exp(x)+2*x^4+28*x^3-86*x^2-192*x+720)/((4*x^2-24*x+36)*exp(x)^2+(-4*x^3-16*x^2+180*x-288)*exp(x)+x^4+14*x^3+x^2-336*x+576),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \left(x -3\right) \left(5+x \right) x}{x^{2}-2 \,{\mathrm e}^{x} x +7 x +6 \,{\mathrm e}^{x}-24}$&$29$\\ norman&$\frac{2 x^{3}+4 x^{2}-30 x}{x^{2}-2 \,{\mathrm e}^{x} x +7 x +6 \,{\mathrm e}^{x}-24}$&$35$\\ \hline \end{longtable}"," ",0,"2*(x-3)*(5+x)*x/(x^2-2*exp(x)*x+7*x+6*exp(x)-24)","A"
2830,1,50,32,0.423000," ","int(((9*x-27)*ln(-x^2/(x-3))*ln(x/ln(-x^2/(x-3)))^2+((54*x-162)*ln(-x^2/(x-3))-18*x+108)*ln(x/ln(-x^2/(x-3)))+((3-x)*exp(3)+117*x-351)*ln(-x^2/(x-3))-36*x+216)/(3*x-9)/ln(-x^2/(x-3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-\frac{{\mathrm e}^{3}}{3}+27\right) x +3 x \ln \left(\frac{x}{\ln \left(-\frac{x^{2}}{x -3}\right)}\right)^{2}+12 \ln \left(\frac{x}{\ln \left(-\frac{x^{2}}{x -3}\right)}\right) x$&$50$\\ \hline \end{longtable}"," ",0,"(-1/3*exp(3)+27)*x+3*x*ln(x/ln(-x^2/(x-3)))^2+12*ln(x/ln(-x^2/(x-3)))*x","A"
2831,1,13,11,0.035000," ","int(8*x*exp(1)+16*x^3+56*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$4 x^{2} \left(x^{2}+{\mathrm e}+7\right)$&$13$\\ norman&$\left(4 \,{\mathrm e}+28\right) x^{2}+4 x^{4}$&$17$\\ default&$4 x^{2} {\mathrm e}+4 x^{4}+28 x^{2}$&$19$\\ risch&$4 x^{2} {\mathrm e}+4 x^{4}+28 x^{2}$&$19$\\ \hline \end{longtable}"," ",0,"4*x^2*(x^2+exp(1)+7)","A"
2832,1,30,17,0.063000," ","int((-6*x^3-40)/(2*x^3*ln(2)+x^3*exp(10)-6*x^4+11*x^3+20*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(-x \right)+\ln \left(-20+6 x^{3}+\left(-2 \ln \left(2\right)-{\mathrm e}^{10}-11\right) x^{2}\right)$&$30$\\ norman&$-2 \ln \left(x \right)+\ln \left(2 x^{2} \ln \left(2\right)+x^{2} {\mathrm e}^{10}-6 x^{3}+11 x^{2}+20\right)$&$32$\\ default&$-2 \ln \left(x \right)+\ln \left(-2 x^{2} \ln \left(2\right)-x^{2} {\mathrm e}^{10}+6 x^{3}-11 x^{2}-20\right)$&$33$\\ \hline \end{longtable}"," ",0,"-2*ln(-x)+ln(-20+6*x^3+(-2*ln(2)-exp(10)-11)*x^2)","A"
2833,1,26,22,0.058000," ","int(1/3*(((4*x^3+8*x^2)*ln(2)*exp(x)+12*x^3*ln(2)-12*x)*ln(x)-4*x^2*ln(2)*exp(x)-4*x^3*ln(2)+12*x+24)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\frac{4 x^{3} \ln \left(2\right)}{3}+\frac{4 x^{2} \ln \left(2\right) {\mathrm e}^{x}}{3}-4 x -8}{\ln \left(x \right)}$&$26$\\ default&$\frac{4 x^{2} \ln \left(2\right) {\mathrm e}^{x}}{3 \ln \left(x \right)}+\frac{4 x^{3} \ln \left(2\right)}{3 \ln \left(x \right)}-\frac{4 x}{\ln \left(x \right)}-\frac{8}{\ln \left(x \right)}$&$39$\\ \hline \end{longtable}"," ",0,"4/3*(x^3*ln(2)+x^2*ln(2)*exp(x)-3*x-6)/ln(x)","A"
2834,1,16,18,0.025000," ","int((-x^3+5*x^2-15*x+3)/(x^3-2*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +3 \ln \left(x \right)+\frac{8}{x -1}$&$16$\\ risch&$-x +3 \ln \left(x \right)+\frac{8}{x -1}$&$16$\\ norman&$\frac{-x^{2}+9}{x -1}+3 \ln \left(x \right)$&$19$\\ \hline \end{longtable}"," ",0,"-x+3*ln(x)+8/(x-1)","A"
2835,1,27,31,0.162000," ","int(((24*x^3+12*x^2)*exp((4*x^2+4*x)/(x^2+x-3))-x^6-2*x^5+8*x^4+12*x^3-24*x^2-18*x+27)/(x^6+2*x^5-5*x^4-6*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{3}{x}-{\mathrm e}^{\frac{4 \left(x +1\right) x}{x^{2}+x -3}}$&$27$\\ norman&$\frac{9-6 x +x^{2}-x^{4}+3 x \,{\mathrm e}^{\frac{4 x^{2}+4 x}{x^{2}+x -3}}-x^{2} {\mathrm e}^{\frac{4 x^{2}+4 x}{x^{2}+x -3}}-x^{3} {\mathrm e}^{\frac{4 x^{2}+4 x}{x^{2}+x -3}}}{x \left(x^{2}+x -3\right)}$&$96$\\ \hline \end{longtable}"," ",0,"-x-3/x-exp(4*(x+1)*x/(x^2+x-3))","A"
2836,1,60,31,0.720000," ","int(((-3*x^2*exp(1)^2+(6*x^3-6*x^2)*exp(1)-3*x^4+6*x^3-3*x^2)*exp(3*x)+x^2*ln(5)+exp(1)^2+(-2*x+2)*exp(1)+x^2-2*x+1)/((x^2*exp(1)^2+(-2*x^3+2*x^2)*exp(1)+x^4-2*x^3+x^2)*exp(3*x)^2+((-2*x^2*exp(1)+2*x^3-2*x^2)*ln(5)+(4*x^2+2*x)*exp(1)^2+(-8*x^3+4*x^2+4*x)*exp(1)+4*x^4-6*x^3+2*x)*exp(3*x)+x^2*ln(5)^2+((-4*x^2-2*x)*exp(1)+4*x^3-2*x^2-2*x)*ln(5)+(4*x^2+4*x+1)*exp(1)^2+(-8*x^3+6*x+2)*exp(1)+4*x^4-4*x^3-3*x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left({\mathrm e}-x +1\right) x}{-x \,{\mathrm e}^{3 x +1}+x^{2} {\mathrm e}^{3 x}+x \ln \left(5\right)-2 x \,{\mathrm e}+2 x^{2}-x \,{\mathrm e}^{3 x}-{\mathrm e}-x -1}$&$60$\\ norman&$\frac{x^{2}+\left(-{\mathrm e}-1\right) x}{-{\mathrm e}^{3 x} {\mathrm e} x +x^{2} {\mathrm e}^{3 x}+x \ln \left(5\right)-2 x \,{\mathrm e}+2 x^{2}-x \,{\mathrm e}^{3 x}-{\mathrm e}-x -1}$&$63$\\ \hline \end{longtable}"," ",0,"-(exp(1)-x+1)*x/(-x*exp(3*x+1)+x^2*exp(3*x)+x*ln(5)-2*x*exp(1)+2*x^2-x*exp(3*x)-exp(1)-x-1)","A"
2837,0,0,25,180.000000," ","int(((-20*x^3-180*x^2-300*x+500)*exp(x)+(-8*x-20)*ln(3)+100*x^2+1000*x+2500)/(((5*x^3+50*x^2+125*x)*exp(x)+(-x^2-5*x)*ln(3)+x^4+35*x^3+275*x^2+625*x)*ln(((25+5*x)*exp(x)-ln(3)+x^2+30*x+125)/(x^2+5*x))^5+((125*x^3+1250*x^2+3125*x)*exp(x)+(-25*x^2-125*x)*ln(3)+25*x^4+875*x^3+6875*x^2+15625*x)*ln(((25+5*x)*exp(x)-ln(3)+x^2+30*x+125)/(x^2+5*x))^4+((1250*x^3+12500*x^2+31250*x)*exp(x)+(-250*x^2-1250*x)*ln(3)+250*x^4+8750*x^3+68750*x^2+156250*x)*ln(((25+5*x)*exp(x)-ln(3)+x^2+30*x+125)/(x^2+5*x))^3+((6250*x^3+62500*x^2+156250*x)*exp(x)+(-1250*x^2-6250*x)*ln(3)+1250*x^4+43750*x^3+343750*x^2+781250*x)*ln(((25+5*x)*exp(x)-ln(3)+x^2+30*x+125)/(x^2+5*x))^2+((15625*x^3+156250*x^2+390625*x)*exp(x)+(-3125*x^2-15625*x)*ln(3)+3125*x^4+109375*x^3+859375*x^2+1953125*x)*ln(((25+5*x)*exp(x)-ln(3)+x^2+30*x+125)/(x^2+5*x))+(15625*x^3+156250*x^2+390625*x)*exp(x)+(-3125*x^2-15625*x)*ln(3)+3125*x^4+109375*x^3+859375*x^2+1953125*x),x)","\[\int \frac{\left(-20 x^{3}-180 x^{2}-300 x +500\right) {\mathrm e}^{x}+\left(-8 x -20\right) \ln \left(3\right)+100 x^{2}+1000 x +2500}{\left(\left(5 x^{3}+50 x^{2}+125 x \right) {\mathrm e}^{x}+\left(-x^{2}-5 x \right) \ln \left(3\right)+x^{4}+35 x^{3}+275 x^{2}+625 x \right) \ln \left(\frac{\left(25+5 x \right) {\mathrm e}^{x}-\ln \left(3\right)+x^{2}+30 x +125}{x^{2}+5 x}\right)^{5}+\left(\left(125 x^{3}+1250 x^{2}+3125 x \right) {\mathrm e}^{x}+\left(-25 x^{2}-125 x \right) \ln \left(3\right)+25 x^{4}+875 x^{3}+6875 x^{2}+15625 x \right) \ln \left(\frac{\left(25+5 x \right) {\mathrm e}^{x}-\ln \left(3\right)+x^{2}+30 x +125}{x^{2}+5 x}\right)^{4}+\left(\left(1250 x^{3}+12500 x^{2}+31250 x \right) {\mathrm e}^{x}+\left(-250 x^{2}-1250 x \right) \ln \left(3\right)+250 x^{4}+8750 x^{3}+68750 x^{2}+156250 x \right) \ln \left(\frac{\left(25+5 x \right) {\mathrm e}^{x}-\ln \left(3\right)+x^{2}+30 x +125}{x^{2}+5 x}\right)^{3}+\left(\left(6250 x^{3}+62500 x^{2}+156250 x \right) {\mathrm e}^{x}+\left(-1250 x^{2}-6250 x \right) \ln \left(3\right)+1250 x^{4}+43750 x^{3}+343750 x^{2}+781250 x \right) \ln \left(\frac{\left(25+5 x \right) {\mathrm e}^{x}-\ln \left(3\right)+x^{2}+30 x +125}{x^{2}+5 x}\right)^{2}+\left(\left(15625 x^{3}+156250 x^{2}+390625 x \right) {\mathrm e}^{x}+\left(-3125 x^{2}-15625 x \right) \ln \left(3\right)+3125 x^{4}+109375 x^{3}+859375 x^{2}+1953125 x \right) \ln \left(\frac{\left(25+5 x \right) {\mathrm e}^{x}-\ln \left(3\right)+x^{2}+30 x +125}{x^{2}+5 x}\right)+\left(15625 x^{3}+156250 x^{2}+390625 x \right) {\mathrm e}^{x}+\left(-3125 x^{2}-15625 x \right) \ln \left(3\right)+3125 x^{4}+109375 x^{3}+859375 x^{2}+1953125 x}\, dx\]"," ",0,"int(((-20*x^3-180*x^2-300*x+500)*exp(x)+(-8*x-20)*ln(3)+100*x^2+1000*x+2500)/(((5*x^3+50*x^2+125*x)*exp(x)+(-x^2-5*x)*ln(3)+x^4+35*x^3+275*x^2+625*x)*ln(((25+5*x)*exp(x)-ln(3)+x^2+30*x+125)/(x^2+5*x))^5+((125*x^3+1250*x^2+3125*x)*exp(x)+(-25*x^2-125*x)*ln(3)+25*x^4+875*x^3+6875*x^2+15625*x)*ln(((25+5*x)*exp(x)-ln(3)+x^2+30*x+125)/(x^2+5*x))^4+((1250*x^3+12500*x^2+31250*x)*exp(x)+(-250*x^2-1250*x)*ln(3)+250*x^4+8750*x^3+68750*x^2+156250*x)*ln(((25+5*x)*exp(x)-ln(3)+x^2+30*x+125)/(x^2+5*x))^3+((6250*x^3+62500*x^2+156250*x)*exp(x)+(-1250*x^2-6250*x)*ln(3)+1250*x^4+43750*x^3+343750*x^2+781250*x)*ln(((25+5*x)*exp(x)-ln(3)+x^2+30*x+125)/(x^2+5*x))^2+((15625*x^3+156250*x^2+390625*x)*exp(x)+(-3125*x^2-15625*x)*ln(3)+3125*x^4+109375*x^3+859375*x^2+1953125*x)*ln(((25+5*x)*exp(x)-ln(3)+x^2+30*x+125)/(x^2+5*x))+(15625*x^3+156250*x^2+390625*x)*exp(x)+(-3125*x^2-15625*x)*ln(3)+3125*x^4+109375*x^3+859375*x^2+1953125*x),x)","F"
2838,1,20,28,0.033000," ","int(((5*x+5)*exp(x)*ln(x)+(-15*x-10)*exp(x)+3)/(5*x*exp(x)*ln(x)-15*exp(x)*x+3*x+1)/ln(-5/3*x*exp(x)*ln(x)+5*exp(x)*x-x-1/3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(-\frac{5 x \,{\mathrm e}^{x} \ln \left(x \right)}{3}+5 \,{\mathrm e}^{x} x -x -\frac{1}{3}\right)\right)$&$20$\\ \hline \end{longtable}"," ",0,"ln(ln(-5/3*x*exp(x)*ln(x)+5*exp(x)*x-x-1/3))","A"
2839,1,26,25,0.026000," ","int(((50*x^2+25*x)*exp(x)^2-3*x^3-2*x^2+2*x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+2 x -\ln \left(x \right)-x^{3}+25 x \,{\mathrm e}^{2 x}$&$26$\\ norman&$-x^{2}+2 x -\ln \left(x \right)-x^{3}+25 x \,{\mathrm e}^{2 x}$&$26$\\ risch&$-x^{2}+2 x -\ln \left(x \right)-x^{3}+25 x \,{\mathrm e}^{2 x}$&$26$\\ \hline \end{longtable}"," ",0,"-x^2+2*x-ln(x)-x^3+25*x*exp(x)^2","A"
2840,1,7,15,0.029000," ","int(5*exp(x-2*ln(2))/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \,{\mathrm e}^{x -5}}{4}$&$7$\\ meijerg&$-\frac{5 \,{\mathrm e}^{-5} \left(1-{\mathrm e}^{x}\right)}{4}$&$11$\\ gosper&$5 \,{\mathrm e}^{x -2 \ln \left(2\right)} {\mathrm e}^{-5}$&$14$\\ derivativedivides&$5 \,{\mathrm e}^{x -2 \ln \left(2\right)} {\mathrm e}^{-5}$&$14$\\ default&$5 \,{\mathrm e}^{x -2 \ln \left(2\right)} {\mathrm e}^{-5}$&$14$\\ norman&$5 \,{\mathrm e}^{x -2 \ln \left(2\right)} {\mathrm e}^{-5}$&$14$\\ \hline \end{longtable}"," ",0,"5/4*exp(x-5)","A"
2841,1,21,27,0.046000," ","int(1/5*(((2*x^2-1)*exp(1)+10*x^2-5)*exp(x^2)+8*x^3+5*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x^{2}}{5}+x +\frac{\left({\mathrm e}+5\right) {\mathrm e}^{x^{2}}}{5 x}$&$21$\\ norman&$\frac{x^{2}+\left(\frac{{\mathrm e}}{5}+1\right) {\mathrm e}^{x^{2}}+\frac{4 x^{3}}{5}}{x}$&$25$\\ default&$\frac{4 x^{2}}{5}+x +\frac{{\mathrm e} \sqrt{\pi}\, \erfi \left(x \right)}{5}+\frac{{\mathrm e}^{x^{2}}}{x}-\frac{{\mathrm e} \left(-\frac{{\mathrm e}^{x^{2}}}{x}+\sqrt{\pi}\, \erfi \left(x \right)\right)}{5}$&$45$\\ \hline \end{longtable}"," ",0,"4/5*x^2+x+1/5*(exp(1)+5)/x*exp(x^2)","A"
2842,1,26,21,0.048000," ","int(1/30*((-x^2-3)*exp(2)^2-4*x^3-4*x^2-12)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{2}}{15}-\frac{x \,{\mathrm e}^{4}}{30}-\frac{2 x}{15}-\frac{-3 \,{\mathrm e}^{4}-12}{30 x}$&$26$\\ risch&$-\frac{x \,{\mathrm e}^{4}}{30}-\frac{x^{2}}{15}-\frac{2 x}{15}+\frac{{\mathrm e}^{4}}{10 x}+\frac{2}{5 x}$&$27$\\ norman&$\frac{\left(-\frac{2}{15}-\frac{{\mathrm e}^{4}}{30}\right) x^{2}-\frac{x^{3}}{15}+\frac{{\mathrm e}^{4}}{10}+\frac{2}{5}}{x}$&$30$\\ gosper&$-\frac{x^{2} {\mathrm e}^{4}+2 x^{3}-3 \,{\mathrm e}^{4}+4 x^{2}-12}{30 x}$&$32$\\ \hline \end{longtable}"," ",0,"-1/15*x^2-1/30*x*exp(4)-2/15*x-1/30*(-3*exp(4)-12)/x","A"
2843,1,13,12,0.157000," ","int((3*x*exp(3)-2)*exp((3*x-9)*exp(3))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{3 \,{\mathrm e}^{3} \left(x -3\right)}}{x^{2}}$&$13$\\ risch&$\frac{{\mathrm e}^{3 \,{\mathrm e}^{3} \left(x -3\right)}}{x^{2}}$&$13$\\ norman&$\frac{{\mathrm e}^{\left(3 x -9\right) {\mathrm e}^{3}}}{x^{2}}$&$14$\\ derivativedivides&$\frac{{\mathrm e}^{3 x \,{\mathrm e}^{3}-9 \,{\mathrm e}^{3}}}{x^{2}}$&$16$\\ default&$\frac{{\mathrm e}^{3 x \,{\mathrm e}^{3}-9 \,{\mathrm e}^{3}}}{x^{2}}$&$16$\\ meijerg&$-9 \,{\mathrm e}^{6-9 \,{\mathrm e}^{3}} \left(\frac{{\mathrm e}^{-3}}{3 x}-2-\ln \left(x \right)-\ln \left(3\right)-i \pi -\frac{{\mathrm e}^{-3} \left(6 x \,{\mathrm e}^{3}+2\right)}{6 x}+\frac{{\mathrm e}^{3 x \,{\mathrm e}^{3}-3}}{3 x}+\ln \left(-3 x \,{\mathrm e}^{3}\right)+\expIntegralEi \left(1, -3 x \,{\mathrm e}^{3}\right)\right)-18 \,{\mathrm e}^{6-9 \,{\mathrm e}^{3}} \left(-\frac{{\mathrm e}^{-6}}{18 x^{2}}-\frac{{\mathrm e}^{-3}}{3 x}+\frac{3}{4}+\frac{\ln \left(x \right)}{2}+\frac{\ln \left(3\right)}{2}+\frac{i \pi}{2}+\frac{{\mathrm e}^{-6} \left(81 x^{2} {\mathrm e}^{6}+36 x \,{\mathrm e}^{3}+6\right)}{108 x^{2}}-\frac{{\mathrm e}^{-6+3 x \,{\mathrm e}^{3}} \left(9 x \,{\mathrm e}^{3}+3\right)}{54 x^{2}}-\frac{\ln \left(-3 x \,{\mathrm e}^{3}\right)}{2}-\frac{\expIntegralEi \left(1, -3 x \,{\mathrm e}^{3}\right)}{2}\right)$&$167$\\ \hline \end{longtable}"," ",0,"1/x^2*exp(3*exp(3)*(x-3))","A"
2844,1,18,19,0.077000," ","int((-1600*ln(2)+1200*x)/(36*x^3*exp(5)^2*ln(2)^2-36*x^4*exp(5)^2*ln(2)+9*x^5*exp(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{400 \,{\mathrm e}^{-10}}{9 \left(2 \ln \left(2\right)-x \right) x^{2}}$&$18$\\ gosper&$\frac{400 \,{\mathrm e}^{-10}}{9 \left(2 \ln \left(2\right)-x \right) x^{2}}$&$20$\\ norman&$\frac{400 \,{\mathrm e}^{-10}}{9 \left(2 \ln \left(2\right)-x \right) x^{2}}$&$20$\\ default&$\frac{400 \,{\mathrm e}^{-10} \left(\frac{1}{4 \ln \left(2\right)^{2} x}+\frac{1}{2 \ln \left(2\right) x^{2}}-\frac{1}{4 \ln \left(2\right)^{2} \left(x -2 \ln \left(2\right)\right)}\right)}{9}$&$40$\\ \hline \end{longtable}"," ",0,"400/9*exp(-10)/(2*ln(2)-x)/x^2","A"
2845,1,20,27,0.529000," ","int((40*x^3-240*x^2)*exp((5*x^3+36*x-144)/(x-4))/(x^2-8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$4 \,{\mathrm e}^{\frac{5 x^{3}+36 x -144}{x -4}}$&$20$\\ risch&$4 \,{\mathrm e}^{\frac{5 x^{3}+36 x -144}{x -4}}$&$20$\\ norman&$\frac{4 x \,{\mathrm e}^{\frac{5 x^{3}+36 x -144}{x -4}}-16 \,{\mathrm e}^{\frac{5 x^{3}+36 x -144}{x -4}}}{x -4}$&$47$\\ \hline \end{longtable}"," ",0,"4*exp((5*x^3+36*x-144)/(x-4))","A"
2846,1,20,19,0.037000," ","int(-2*exp(x^2)*x+2*exp(2*x)+1/2*ln(5)+11,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$11 x -{\mathrm e}^{x^{2}}+{\mathrm e}^{2 x}+\frac{x \ln \left(5\right)}{2}$&$20$\\ norman&${\mathrm e}^{2 x}-{\mathrm e}^{x^{2}}+x \left(11+\frac{\ln \left(5\right)}{2}\right)$&$20$\\ risch&$11 x -{\mathrm e}^{x^{2}}+{\mathrm e}^{2 x}+\frac{x \ln \left(5\right)}{2}$&$20$\\ \hline \end{longtable}"," ",0,"11*x-exp(x^2)+exp(2*x)+1/2*x*ln(5)","A"
2847,1,19,18,0.076000," ","int(((x*ln(3)*exp(x)+(-5*x-5)*ln(3))*exp(5/exp(x)/x)-3*exp(x)*x)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(3\right) x \,{\mathrm e}^{\frac{5 \,{\mathrm e}^{-x}}{x}}-3 x$&$19$\\ norman&$\left({\mathrm e}^{x} \ln \left(3\right) {\mathrm e}^{\frac{5 \,{\mathrm e}^{-x}}{x}} x -3 \,{\mathrm e}^{x} x \right) {\mathrm e}^{-x}$&$28$\\ \hline \end{longtable}"," ",0,"ln(3)*x*exp(5*exp(-x)/x)-3*x","A"
2848,1,23,24,0.055000," ","int((10*x^2-30*x+40)*exp(3)*exp(x)/(36*x^3*ln(2)^2+3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{10 \,{\mathrm e}^{3+x} \left(x -2\right)}{3 x^{2} \left(12 \ln \left(2\right)^{2}+1\right)}$&$23$\\ risch&$\frac{10 \,{\mathrm e}^{3+x} \left(x -2\right)}{3 x^{2} \left(12 \ln \left(2\right)^{2}+1\right)}$&$23$\\ default&$\frac{10 \,{\mathrm e}^{3} \left(-\frac{2 \,{\mathrm e}^{x}}{\left(12 \ln \left(2\right)^{2}+1\right) x^{2}}+\frac{{\mathrm e}^{x}}{x \left(12 \ln \left(2\right)^{2}+1\right)}\right)}{3}$&$39$\\ norman&$\frac{-\frac{20 \,{\mathrm e}^{3} {\mathrm e}^{x}}{3 \left(12 \ln \left(2\right)^{2}+1\right)}+\frac{10 \,{\mathrm e}^{3} x \,{\mathrm e}^{x}}{3 \left(12 \ln \left(2\right)^{2}+1\right)}}{x^{2}}$&$39$\\ \hline \end{longtable}"," ",0,"10/3*exp(3+x)*(x-2)/x^2/(12*ln(2)^2+1)","A"
2849,1,31,22,0.265000," ","int((((2*ln(2*x)+8)*ln(ln(2*x)+4)+(ln(x)+6*x)*ln(2*x)+4*ln(x)+24*x)*ln(8/(2*ln(ln(2*x)+4)+ln(x)+6*x))+(-6*x-1)*ln(2*x)-24*x-6)/((2*ln(2*x)+8)*ln(ln(2*x)+4)+(ln(x)+6*x)*ln(2*x)+4*ln(x)+24*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(\frac{\ln \left(\ln \left(2\right)+\ln \left(x \right)+4\right)}{3}+\frac{\ln \left(x \right)}{6}+x \right)-x \ln \left(3\right)+2 x \ln \left(2\right)$&$31$\\ \hline \end{longtable}"," ",0,"-x*ln(1/3*ln(ln(2)+ln(x)+4)+1/6*ln(x)+x)-x*ln(3)+2*x*ln(2)","A"
2850,1,9,10,0.063000," ","int(-8*exp(8/x/exp(19/9))/x^2/exp(19/9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{8 \,{\mathrm e}^{-\frac{19}{9}}}{x}}$&$9$\\ gosper&${\mathrm e}^{\frac{8 \,{\mathrm e}^{-\frac{19}{9}}}{x}}$&$11$\\ derivativedivides&${\mathrm e}^{\frac{8 \,{\mathrm e}^{-\frac{19}{9}}}{x}}$&$11$\\ default&${\mathrm e}^{\frac{8 \,{\mathrm e}^{-\frac{19}{9}}}{x}}$&$11$\\ norman&${\mathrm e}^{\frac{8 \,{\mathrm e}^{-\frac{19}{9}}}{x}}$&$11$\\ meijerg&$-1+{\mathrm e}^{\frac{8 \,{\mathrm e}^{-\frac{19}{9}}}{x}}$&$11$\\ \hline \end{longtable}"," ",0,"exp(8/x*exp(-19/9))","A"
2851,1,20,20,0.069000," ","int((x^2*ln(x)^2+(-2*ln(5)+4*x^2)*ln(x)-6*ln(5)+4*x^2+10*x)/(x^2*ln(x)^2+4*x^2*ln(x)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{2 \ln \left(5\right)-10 x}{\left(\ln \left(x \right)+2\right) x}$&$20$\\ norman&$\frac{x^{2} \ln \left(x \right)-10 x +2 x^{2}+2 \ln \left(5\right)}{\left(\ln \left(x \right)+2\right) x}$&$30$\\ default&$\frac{x \ln \left(x \right)+2 x -10}{\ln \left(x \right)+2}+\frac{2 \ln \left(5\right)}{x \left(\ln \left(x \right)+2\right)}$&$31$\\ \hline \end{longtable}"," ",0,"x+2/x*(ln(5)-5*x)/(ln(x)+2)","A"
2852,1,61,31,0.535000," ","int(((4*ln(2)+4)*ln(x)*ln(1/ln(x))+(2*x^3-6*x^2)*ln(x)+2*(x-2)*ln(2)+2*x-4)/(2*(x^2-4*x+4)*ln(2)+2*x^2-8*x+8)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(\ln \left(x \right)\right)}{x -2}+\frac{2 \ln \left(2\right) \ln \left(\ln \left(x \right)\right) x +x^{3}-4 \ln \left(2\right) \ln \left(\ln \left(x \right)\right)+2 x \ln \left(\ln \left(x \right)\right)-4 \ln \left(\ln \left(x \right)\right)-4 x +8}{2 x \ln \left(2\right)-4 \ln \left(2\right)+2 x -4}$&$61$\\ \hline \end{longtable}"," ",0,"2/(x-2)*ln(ln(x))+1/2*(2*ln(2)*ln(ln(x))*x+x^3-4*ln(2)*ln(ln(x))+2*x*ln(ln(x))-4*ln(ln(x))-4*x+8)/(x*ln(2)-2*ln(2)+x-2)","A"
2853,1,41,23,0.047000," ","int((2*x*ln(x)+(2*x^2*exp(2)+162*x^2+2*x)*exp(1/3*(-3*x+8)*exp(2)-81*x+216)-2*x)*exp(x^2/(ln(x)^2+2*exp(1/3*(-3*x+8)*exp(2)-81*x+216)*ln(x)+exp(1/3*(-3*x+8)*exp(2)-81*x+216)^2))/(ln(x)^3+3*exp(1/3*(-3*x+8)*exp(2)-81*x+216)*ln(x)^2+3*exp(1/3*(-3*x+8)*exp(2)-81*x+216)^2*ln(x)+exp(1/3*(-3*x+8)*exp(2)-81*x+216)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{2}}{\ln \left(x \right)^{2}+2 \,{\mathrm e}^{-\frac{\left(3 x -8\right) \left(81+{\mathrm e}^{2}\right)}{3}} \ln \left(x \right)+{\mathrm e}^{-\frac{2 \left(3 x -8\right) \left(81+{\mathrm e}^{2}\right)}{3}}}}$&$41$\\ \hline \end{longtable}"," ",0,"exp(x^2/(ln(x)^2+2*exp(-1/3*(3*x-8)*(81+exp(2)))*ln(x)+exp(-2/3*(3*x-8)*(81+exp(2)))))","A"
2854,1,21,32,0.104000," ","int(1/25*(4*x^4-20*x^3+2*x^2-15*x+50)*exp((-5*x+5)/x)^2*exp(x^2)^2/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x -5\right) x \,{\mathrm e}^{\frac{2 x^{3}-10 x +10}{x}}}{25}$&$21$\\ gosper&$\frac{x \left(x -5\right) {\mathrm e}^{-\frac{10 \left(x -1\right)}{x}} {\mathrm e}^{2 x^{2}}}{25}$&$24$\\ \hline \end{longtable}"," ",0,"1/25*(x-5)*x*exp(2*(x^3-5*x+5)/x)","A"
2855,1,19,18,0.607000," ","int(((x*exp(5)-exp(4)+2*x^2+4)*ln(x*exp(5)-exp(4)+2*x^2+4)+x*exp(5)+4*x^2)/(x*exp(5)-exp(4)+2*x^2+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(x \,{\mathrm e}^{5}-{\mathrm e}^{4}+2 x^{2}+4\right)$&$19$\\ norman&$x \ln \left(x \,{\mathrm e}^{5}-{\mathrm e}^{4}+2 x^{2}+4\right)$&$19$\\ risch&$x \ln \left(x \,{\mathrm e}^{5}-{\mathrm e}^{4}+2 x^{2}+4\right)$&$19$\\ \hline \end{longtable}"," ",0,"x*ln(x*exp(5)-exp(4)+2*x^2+4)","A"
2856,1,52,30,0.174000," ","int((((-4*exp(50*x*ln(2))+4*x)*ln(x)-50*x*ln(2)*exp(50*x*ln(2))+x)*exp(ln(x)^2)^2+((-4*x*exp(50*x*ln(2))+4*x^2)*ln(x)+(-100*x^2*ln(2)-2*x)*exp(50*x*ln(2))+4*x^2)*exp(ln(x)^2)+(-50*x^3*ln(2)-2*x^2)*exp(50*x*ln(2))+3*x^3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}-x^{2} {\mathrm e}^{50 x \ln \left(2\right)}+\left(x -{\mathrm e}^{50 x \ln \left(2\right)}\right) {\mathrm e}^{2 \ln \left(x \right)^{2}}+2 \left(x -{\mathrm e}^{50 x \ln \left(2\right)}\right) x \,{\mathrm e}^{\ln \left(x \right)^{2}}$&$52$\\ default&${\mathrm e}^{2 \ln \left(x \right)^{2}} x -{\mathrm e}^{50 x \ln \left(2\right)} {\mathrm e}^{2 \ln \left(x \right)^{2}}+2 \,{\mathrm e}^{\ln \left(x \right)^{2}} x^{2}-2 \,{\mathrm e}^{50 x \ln \left(2\right)} {\mathrm e}^{\ln \left(x \right)^{2}} x +x^{3}-x^{2} {\mathrm e}^{50 x \ln \left(2\right)}$&$64$\\ \hline \end{longtable}"," ",0,"x^3-x^2*exp(50*x*ln(2))+(x-exp(50*x*ln(2)))*exp(2*ln(x)^2)+2*(x-exp(50*x*ln(2)))*x*exp(ln(x)^2)","A"
2857,1,50,29,0.085000," ","int(1/5*(-4*x^2+14*x+4)*exp(2*x)^2+1/5*(12*x^2-36*x-24)*exp(2*x)-1/5*exp(4)+3/5*x^2-26/5*x+36/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-x^{2}+4 x \right) {\mathrm e}^{4 x}}{5}+\frac{\left(6 x^{2}-24 x \right) {\mathrm e}^{2 x}}{5}-\frac{x \,{\mathrm e}^{4}}{5}+\frac{x^{3}}{5}-\frac{13 x^{2}}{5}+\frac{36 x}{5}$&$50$\\ derivativedivides&$\frac{36 x}{5}-\frac{13 x^{2}}{5}+\frac{x^{3}}{5}+\frac{4 x \,{\mathrm e}^{4 x}}{5}-\frac{x^{2} {\mathrm e}^{4 x}}{5}+\frac{6 \,{\mathrm e}^{2 x} x^{2}}{5}-\frac{24 x \,{\mathrm e}^{2 x}}{5}-\frac{x \,{\mathrm e}^{4}}{5}$&$56$\\ default&$\frac{36 x}{5}-\frac{13 x^{2}}{5}+\frac{x^{3}}{5}+\frac{4 x \,{\mathrm e}^{4 x}}{5}-\frac{x^{2} {\mathrm e}^{4 x}}{5}+\frac{6 \,{\mathrm e}^{2 x} x^{2}}{5}-\frac{24 x \,{\mathrm e}^{2 x}}{5}-\frac{x \,{\mathrm e}^{4}}{5}$&$56$\\ norman&$\left(-\frac{{\mathrm e}^{4}}{5}+\frac{36}{5}\right) x -\frac{13 x^{2}}{5}+\frac{x^{3}}{5}-\frac{24 x \,{\mathrm e}^{2 x}}{5}+\frac{4 x \,{\mathrm e}^{4 x}}{5}-\frac{x^{2} {\mathrm e}^{4 x}}{5}+\frac{6 \,{\mathrm e}^{2 x} x^{2}}{5}$&$56$\\ \hline \end{longtable}"," ",0,"1/5*(-x^2+4*x)*exp(4*x)+1/5*(6*x^2-24*x)*exp(2*x)-1/5*x*exp(4)+1/5*x^3-13/5*x^2+36/5*x","A"
2858,1,17,22,0.045000," ","int(((2*x^3-2*x^2)*exp(x)+16*x^2+12*x)/(exp(x)^2*x^2+(-16*x^2-6*x)*exp(x)+64*x^2+48*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{2 x^{2}}{{\mathrm e}^{x} x -8 x -3}$&$17$\\ risch&$-\frac{2 x^{2}}{{\mathrm e}^{x} x -8 x -3}$&$17$\\ \hline \end{longtable}"," ",0,"-2*x^2/(exp(x)*x-8*x-3)","A"
2859,1,20,15,0.060000," ","int(-2*x/(4*x^4*ln(2)^2+2*(2*x^4+2*x^2)*ln(2)+x^4+2*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x^{2}}{2 x^{2} \ln \left(2\right)+x^{2}+1}$&$20$\\ gosper&$\frac{1}{\left(2 x^{2} \ln \left(2\right)+x^{2}+1\right) \left(1+2 \ln \left(2\right)\right)}$&$24$\\ default&$\frac{1}{\left(2 x^{2} \ln \left(2\right)+x^{2}+1\right) \left(1+2 \ln \left(2\right)\right)}$&$24$\\ risch&$\frac{1}{2 \left(1+2 \ln \left(2\right)\right) \left(x^{2} \ln \left(2\right)+\frac{x^{2}}{2}+\frac{1}{2}\right)}$&$26$\\ \hline \end{longtable}"," ",0,"-x^2/(2*x^2*ln(2)+x^2+1)","A"
2860,1,17,18,0.059000," ","int((5*ln(3)-15)/((5*x*ln(3)-15*x)*ln(x)-30*x*ln(2)+48*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\left(5 \ln \left(3\right)-15\right) \ln \left(x \right)-30 \ln \left(2\right)+48\right)$&$17$\\ norman&$\ln \left(-5 \ln \left(3\right) \ln \left(x \right)+30 \ln \left(2\right)+15 \ln \left(x \right)-48\right)$&$18$\\ risch&$\frac{\ln \left(\ln \left(x \right)-\frac{6 \left(5 \ln \left(2\right)-8\right)}{5 \left(\ln \left(3\right)-3\right)}\right) \ln \left(3\right)}{\ln \left(3\right)-3}-\frac{3 \ln \left(\ln \left(x \right)-\frac{6 \left(5 \ln \left(2\right)-8\right)}{5 \left(\ln \left(3\right)-3\right)}\right)}{\ln \left(3\right)-3}$&$55$\\ \hline \end{longtable}"," ",0,"ln((5*ln(3)-15)*ln(x)-30*ln(2)+48)","A"
2861,1,8,12,0.020000," ","int(2*x+1/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+\frac{1}{5} x$&$8$\\ norman&$x^{2}+\frac{1}{5} x$&$8$\\ risch&$x^{2}+\frac{1}{5} x$&$8$\\ gosper&$\frac{\left(1+5 x \right) x}{5}$&$9$\\ \hline \end{longtable}"," ",0,"x^2+1/5*x","A"
2862,1,13,14,0.122000," ","int(1/6561*(200*x^2*ln(2)+50*x)*exp((x-9)*ln(2))^8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 \,2^{8 x} x^{2}}{30983446494107742247059456}$&$13$\\ gosper&$\frac{25 \,{\mathrm e}^{8 \left(x -9\right) \ln \left(2\right)} x^{2}}{6561}$&$15$\\ norman&$\frac{25 \,{\mathrm e}^{8 \left(x -9\right) \ln \left(2\right)} x^{2}}{6561}$&$15$\\ derivativedivides&$\frac{\frac{25 \,{\mathrm e}^{8 x \ln \left(2\right)} \left(x \ln \left(2\right)-9 \ln \left(2\right)\right)}{1721302583005985680392192}+\frac{25 \,{\mathrm e}^{8 x \ln \left(2\right)} \ln \left(2\right)}{382511685112441262309376}+\frac{25 \,{\mathrm e}^{8 x \ln \left(2\right)} \left(x \ln \left(2\right)-9 \ln \left(2\right)\right)^{2}}{30983446494107742247059456 \ln \left(2\right)}}{\ln \left(2\right)}$&$76$\\ default&$\frac{\frac{25 \,{\mathrm e}^{8 x \ln \left(2\right)} \left(x \ln \left(2\right)-9 \ln \left(2\right)\right)}{1721302583005985680392192}+\frac{25 \,{\mathrm e}^{8 x \ln \left(2\right)} \ln \left(2\right)}{382511685112441262309376}+\frac{25 \,{\mathrm e}^{8 x \ln \left(2\right)} \left(x \ln \left(2\right)-9 \ln \left(2\right)\right)^{2}}{30983446494107742247059456 \ln \left(2\right)}}{\ln \left(2\right)}$&$76$\\ \hline \end{longtable}"," ",0,"25/6561*(2^(x-9))^8*x^2","A"
2863,1,28,21,0.041000," ","int(((x^5+3*x^4-9*x^3+6*x^2+5*x+1)*ln(x^5+3*x^4-9*x^3+6*x^2+5*x+1)+(5*x^5+12*x^4-27*x^3+12*x^2+5*x)*ln(x))/(x^6+3*x^5-9*x^4+6*x^3+5*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right) \ln \left(x^{5}+3 x^{4}-9 x^{3}+6 x^{2}+5 x +1\right)$&$28$\\ risch&$\ln \left(x \right) \ln \left(x^{5}+3 x^{4}-9 x^{3}+6 x^{2}+5 x +1\right)$&$28$\\ \hline \end{longtable}"," ",0,"ln(x)*ln(x^5+3*x^4-9*x^3+6*x^2+5*x+1)","A"
2864,1,170,29,0.291000," ","int(((x^5+x^4-17*x^3-29*x^2+27*x+45)*ln(exp(2*x)/(3+x))-2*x^5-9*x^4+36*x^2+10*x-42)/((x^5+5*x^4+x^3-21*x^2-9*x+27)*ln(exp(2*x)/(3+x))-x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\ln \left(2 x^{5}-\ln \left(3+x \right) x^{4}+x^{4} \left(\ln \left(\frac{{\mathrm e}^{2 x}}{3+x}\right)-2 x +\ln \left(3+x \right)\right)+4 x^{4}-2 \ln \left(3+x \right) x^{3}+2 x^{3} \left(\ln \left(\frac{{\mathrm e}^{2 x}}{3+x}\right)-2 x +\ln \left(3+x \right)\right)-10 x^{3}+5 \ln \left(3+x \right) x^{2}-5 x^{2} \left(\ln \left(\frac{{\mathrm e}^{2 x}}{3+x}\right)-2 x +\ln \left(3+x \right)\right)-12 x^{2}+6 x \ln \left(3+x \right)-6 x \left(\ln \left(\frac{{\mathrm e}^{2 x}}{3+x}\right)-2 x +\ln \left(3+x \right)\right)-x +9 \ln \left(\frac{{\mathrm e}^{2 x}}{3+x}\right)\right)$&$170$\\ risch&$x -2 \ln \left(x^{2}+x -3\right)-\ln \left(\ln \left({\mathrm e}^{2 x}\right)-\frac{i \left(-2 i x -2 \pi  \,x^{3} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)^{2}+5 \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)^{2}+9 \pi  \,\mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)+6 \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)^{2}-\pi  \,x^{4} \mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)^{2}-2 \pi  \,x^{3} \mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)^{2}+5 \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)^{2}+6 \pi  x \,\mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)^{2}-\pi  \,x^{4} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)^{2}+2 \pi  \,x^{3} \mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)-5 \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)-6 \pi  x \,\mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)+\pi  \,x^{4} \mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)-18 i \ln \left(3+x \right)+9 \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)^{3}-9 \pi  \,\mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)^{2}-9 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)^{2}+\pi  \,x^{4} \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)^{3}+10 i x^{2} \ln \left(3+x \right)+12 i x \ln \left(3+x \right)-2 i x^{4} \ln \left(3+x \right)-4 i x^{3} \ln \left(3+x \right)+2 \pi  \,x^{3} \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)^{3}-5 \pi  \,x^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)^{3}-6 \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{3+x}\right)^{3}\right)}{2 \left(x^{4}+2 x^{3}-5 x^{2}-6 x +9\right)}\right)$&$652$\\ \hline \end{longtable}"," ",0,"x-ln(2*x^5-ln(3+x)*x^4+x^4*(ln(exp(2*x)/(3+x))-2*x+ln(3+x))+4*x^4-2*ln(3+x)*x^3+2*x^3*(ln(exp(2*x)/(3+x))-2*x+ln(3+x))-10*x^3+5*ln(3+x)*x^2-5*x^2*(ln(exp(2*x)/(3+x))-2*x+ln(3+x))-12*x^2+6*x*ln(3+x)-6*x*(ln(exp(2*x)/(3+x))-2*x+ln(3+x))-x+9*ln(exp(2*x)/(3+x)))","B"
2865,1,34,22,0.135000," ","int((ln(3/2/x)^2+ln(3/2/x)+1)/((ln(2)+x+28)*ln(3/2/x)^2+x*ln(3/2/x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(2\right)+x +28\right)-\ln \left(\ln \left(\frac{3}{2 x}\right)\right)+\ln \left(\ln \left(\frac{3}{2 x}\right)+\frac{x}{\ln \left(2\right)+x +28}\right)$&$34$\\ norman&$-\ln \left(\ln \left(\frac{3}{2 x}\right)\right)+\ln \left(\ln \left(\frac{3}{2 x}\right) \ln \left(2\right)+x \ln \left(\frac{3}{2 x}\right)+28 \ln \left(\frac{3}{2 x}\right)+x \right)$&$39$\\ \hline \end{longtable}"," ",0,"ln(ln(2)+x+28)-ln(ln(3/2/x))+ln(ln(3/2/x)+x/(ln(2)+x+28))","A"
2866,1,9,14,0.013000," ","int(6*x-8/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(9 x -8\right)}{3}$&$9$\\ default&$3 x^{2}-\frac{8}{3} x$&$10$\\ norman&$3 x^{2}-\frac{8}{3} x$&$10$\\ risch&$3 x^{2}-\frac{8}{3} x$&$10$\\ \hline \end{longtable}"," ",0,"1/3*x*(9*x-8)","A"
2867,1,28,24,0.099000," ","int(((24*x+6)*exp(x)*ln(x)^2*exp(x/ln(x))^3+(288*x+72)*exp(x)*ln(x)^2*exp(x/ln(x))^2+(((1152*x+288)*exp(x)-5*x+5)*ln(x)^2-10*x*ln(x)+10*x)*exp(x/ln(x))+((1536*x+384)*exp(x)-20*x+20)*ln(x)^2)/(exp(x)*ln(x)^2*exp(x/ln(x))^3+12*exp(x)*ln(x)^2*exp(x/ln(x))^2+48*exp(x)*ln(x)^2*exp(x/ln(x))+64*exp(x)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$12 x^{2}+6 x +\frac{5 x \,{\mathrm e}^{-x}}{\left({\mathrm e}^{\frac{x}{\ln \left(x \right)}}+4\right)^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"12*x^2+6*x+5*x*exp(-x)/(exp(x/ln(x))+4)^2","A"
2868,1,26,24,0.055000," ","int(((-x^4-2*x^2-1)*exp(5-x)*exp(x)^4+((-2*x^5-4*x^3-2*x)*exp(5-x)-6*x^3-3*x^2-6*x+3)*exp(x)^2+(-x^6-2*x^4-x^2)*exp(5-x)-6*x^3)/((x^4+2*x^2+1)*exp(x)^4+(2*x^5+4*x^3+2*x)*exp(x)^2+x^6+2*x^4+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{5-x}+\frac{3 x}{\left(x^{2}+1\right) \left({\mathrm e}^{2 x}+x \right)}$&$26$\\ \hline \end{longtable}"," ",0,"exp(5-x)+3*x/(x^2+1)/(exp(2*x)+x)","A"
2869,1,18,20,0.019000," ","int((-x^2*ln(x)+2*x^3-14*x^2-4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-13 x -x \ln \left(x \right)+x^{2}+\frac{4}{x}$&$18$\\ risch&$-x \ln \left(x \right)+\frac{x^{3}-13 x^{2}+4}{x}$&$21$\\ norman&$\frac{4+x^{3}-13 x^{2}-x^{2} \ln \left(x \right)}{x}$&$22$\\ \hline \end{longtable}"," ",0,"-13*x-x*ln(x)+x^2+4/x","A"
2870,1,26,20,0.504000," ","int((-ln(x)*ln(ln(x)^2/x^2)+(4*ln(x)-4)*ln(5/4*x))/x/ln(x)/ln(5/4*x)/ln(ln(x)^2/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(\ln \left(5\right)-2 \ln \left(2\right)+\ln \left(x \right)\right)-2 \ln \left(\ln \left(\frac{\ln \left(x \right)^{2}}{x^{2}}\right)\right)$&$26$\\ risch&$-\ln \left(\ln \left(x \right)-\frac{i \left(2 i \ln \left(5\right)-4 i \ln \left(2\right)\right)}{2}\right)-2 \ln \left(\ln \left(\ln \left(x \right)\right)+\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{2}}{x^{2}}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{2}}{x^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{2}}{x^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{2}}{x^{2}}\right)^{3}+4 i \ln \left(x \right)\right)}{4}\right)$&$223$\\ \hline \end{longtable}"," ",0,"-ln(ln(5)-2*ln(2)+ln(x))-2*ln(ln(ln(x)^2/x^2))","A"
2871,1,35,25,0.051000," ","int(((-32*x^2-192*x-256)*exp(3)-8*x^6+64*x^3+128*x^2)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(16 \,{\mathrm e}^{3}-64\right) x^{2}-64 x^{3}-4 x^{6}+64 x \,{\mathrm e}^{3}+64 \,{\mathrm e}^{3}}{x^{4}}$&$35$\\ risch&$-4 x^{2}+\frac{-64 x^{3}+\left(16 \,{\mathrm e}^{3}-64\right) x^{2}+64 x \,{\mathrm e}^{3}+64 \,{\mathrm e}^{3}}{x^{4}}$&$36$\\ default&$-4 x^{2}+\frac{64 \,{\mathrm e}^{3}}{x^{3}}-\frac{4 \left(-4 \,{\mathrm e}^{3}+16\right)}{x^{2}}-\frac{64}{x}+\frac{64 \,{\mathrm e}^{3}}{x^{4}}$&$37$\\ gosper&$\frac{-4 x^{6}+16 x^{2} {\mathrm e}^{3}-64 x^{3}+64 x \,{\mathrm e}^{3}-64 x^{2}+64 \,{\mathrm e}^{3}}{x^{4}}$&$38$\\ \hline \end{longtable}"," ",0,"((16*exp(3)-64)*x^2-64*x^3-4*x^6+64*x*exp(3)+64*exp(3))/x^4","A"
2872,1,8,9,0.020000," ","int(12*x^2*exp(2/5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$4 x^{3} {\mathrm e}^{\frac{2}{5}}$&$8$\\ default&$4 x^{3} {\mathrm e}^{\frac{2}{5}}$&$8$\\ norman&$4 x^{3} {\mathrm e}^{\frac{2}{5}}$&$8$\\ risch&$4 x^{3} {\mathrm e}^{\frac{2}{5}}$&$8$\\ \hline \end{longtable}"," ",0,"4*x^3*exp(2/5)","A"
2873,1,21,24,0.022000," ","int(((-20*x^3+40*x)*ln(x)^2-30*x*ln(x)+15*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-5 x^{4}+20 x^{2}-\frac{15 x^{2}}{\ln \left(x \right)}$&$21$\\ risch&$-5 x^{4}+20 x^{2}-\frac{15 x^{2}}{\ln \left(x \right)}$&$21$\\ norman&$\frac{-15 x^{2}+20 x^{2} \ln \left(x \right)-5 x^{4} \ln \left(x \right)}{\ln \left(x \right)}$&$26$\\ \hline \end{longtable}"," ",0,"-5*x^4+20*x^2-15*x^2/ln(x)","A"
2874,1,17,13,0.034000," ","int(-9*exp(x)*ln(2*ln(2))+(x+54)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{x} \left(-x +9 \ln \left(2 \ln \left(2\right)\right)-53\right)$&$17$\\ default&${\mathrm e}^{x} x +53 \,{\mathrm e}^{x}-9 \,{\mathrm e}^{x} \ln \left(2 \ln \left(2\right)\right)$&$19$\\ norman&$\left(53-9 \ln \left(2\right)-9 \ln \left(\ln \left(2\right)\right)\right) {\mathrm e}^{x}+{\mathrm e}^{x} x$&$20$\\ risch&$-9 \,{\mathrm e}^{x} \ln \left(2\right)-9 \,{\mathrm e}^{x} \ln \left(\ln \left(2\right)\right)+\left(53+x \right) {\mathrm e}^{x}$&$21$\\ meijerg&$1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}-\left(-9 \ln \left(2 \ln \left(2\right)\right)+54\right) \left(1-{\mathrm e}^{x}\right)$&$29$\\ \hline \end{longtable}"," ",0,"-exp(x)*(-x+9*ln(2*ln(2))-53)","A"
2875,1,10690,29,5.021000," ","int((((ln(x)*(x+1)-2*x^2-2*x)*ln(x^2+x)^4+((-7*x-7)*ln(x)+12*x^2+11*x-1)*ln(x^2+x)^2+(12*x+12)*ln(x)-18*x^2-15*x+3)*ln(((ln(x)-2*x)*ln(x^2+x)^2-4*ln(x)+6*x-1)/(ln(x^2+x)^2-3))+(ln(x)*(x+1)-4*x^2-3*x+1)*ln(x^2+x)^4+((-7*x-7)*ln(x)+24*x^2+16*x-8)*ln(x^2+x)^2+((4*x+2)*ln(x)+4*x+2)*ln(x^2+x)+(12*x+12)*ln(x)-36*x^2-21*x+15)/((ln(x)*(x+1)-2*x^2-2*x)*ln(x^2+x)^4+((-7*x-7)*ln(x)+12*x^2+11*x-1)*ln(x^2+x)^2+(12*x+12)*ln(x)-18*x^2-15*x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$10690$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
2876,1,32,21,0.037000," ","int((x^2+2*x)*exp(x)*ln(x)+(-5*x^2-5*x+4)*exp(x)+12*x^2-4*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \,{\mathrm e}^{x} x -5 \,{\mathrm e}^{x} x^{2}+x^{2} {\mathrm e}^{x} \ln \left(x \right)-2 x^{2}+4 x^{3}$&$32$\\ norman&$4 \,{\mathrm e}^{x} x -5 \,{\mathrm e}^{x} x^{2}+x^{2} {\mathrm e}^{x} \ln \left(x \right)-2 x^{2}+4 x^{3}$&$32$\\ risch&$4 \,{\mathrm e}^{x} x -5 \,{\mathrm e}^{x} x^{2}+x^{2} {\mathrm e}^{x} \ln \left(x \right)-2 x^{2}+4 x^{3}$&$32$\\ \hline \end{longtable}"," ",0,"4*exp(x)*x-5*exp(x)*x^2+x^2*exp(x)*ln(x)-2*x^2+4*x^3","A"
2877,1,7,6,0.030000," ","int(5/4*x^4*exp(1/4*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{x^{5}}{4}}$&$7$\\ derivativedivides&${\mathrm e}^{\frac{x^{5}}{4}}$&$7$\\ default&${\mathrm e}^{\frac{x^{5}}{4}}$&$7$\\ norman&${\mathrm e}^{\frac{x^{5}}{4}}$&$7$\\ risch&${\mathrm e}^{\frac{x^{5}}{4}}$&$7$\\ meijerg&$-1+{\mathrm e}^{\frac{x^{5}}{4}}$&$9$\\ \hline \end{longtable}"," ",0,"exp(1/4*x^5)","A"
2878,1,55,23,0.056000," ","int(1/16*(16*(-20*ln(2)^4+240*ln(2)^3-1080*ln(2)^2+2160*ln(2)-1620)*ln(2)^4+8*(-320*ln(2)^4+3840*ln(2)^3-17280*ln(2)^2+34560*ln(2)-25920)*ln(2)^3+4*(-1920*ln(2)^4+23040*ln(2)^3-103680*ln(2)^2+207360*ln(2)-155520)*ln(2)^2+2*(-5120*ln(2)^4+61440*ln(2)^3-276480*ln(2)^2+552960*ln(2)-414720)*ln(2)-5120*ln(2)^4+61440*ln(2)^3-276480*ln(2)^2+552960*ln(2)-414720)/x^21/ln(2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\ln \left(2\right)^{8}-4 \ln \left(2\right)^{7}-18 \ln \left(2\right)^{6}+68 \ln \left(2\right)^{5}+145 \ln \left(2\right)^{4}-408 \ln \left(2\right)^{3}-648 \ln \left(2\right)^{2}+864 \ln \left(2\right)+1296}{x^{20} \ln \left(2\right)^{4}}$&$55$\\ norman&$\frac{\ln \left(2\right)^{8}-4 \ln \left(2\right)^{7}-18 \ln \left(2\right)^{6}+68 \ln \left(2\right)^{5}+145 \ln \left(2\right)^{4}-408 \ln \left(2\right)^{3}-648 \ln \left(2\right)^{2}+864 \ln \left(2\right)+1296}{x^{20} \ln \left(2\right)^{4}}$&$55$\\ risch&$\frac{\ln \left(2\right)^{4}}{x^{20}}-\frac{4 \ln \left(2\right)^{3}}{x^{20}}-\frac{18 \ln \left(2\right)^{2}}{x^{20}}+\frac{68 \ln \left(2\right)}{x^{20}}+\frac{145}{x^{20}}-\frac{408}{x^{20} \ln \left(2\right)}-\frac{648}{x^{20} \ln \left(2\right)^{2}}+\frac{864}{x^{20} \ln \left(2\right)^{3}}+\frac{1296}{x^{20} \ln \left(2\right)^{4}}$&$76$\\ default&$-\frac{8 \left(-20 \ln \left(2\right)^{4}+240 \ln \left(2\right)^{3}-1080 \ln \left(2\right)^{2}+2160 \ln \left(2\right)-1620\right) \ln \left(2\right)^{4}+4 \left(-320 \ln \left(2\right)^{4}+3840 \ln \left(2\right)^{3}-17280 \ln \left(2\right)^{2}+34560 \ln \left(2\right)-25920\right) \ln \left(2\right)^{3}+2 \left(-1920 \ln \left(2\right)^{4}+23040 \ln \left(2\right)^{3}-103680 \ln \left(2\right)^{2}+207360 \ln \left(2\right)-155520\right) \ln \left(2\right)^{2}+\left(-5120 \ln \left(2\right)^{4}+61440 \ln \left(2\right)^{3}-276480 \ln \left(2\right)^{2}+552960 \ln \left(2\right)-414720\right) \ln \left(2\right)-2560 \ln \left(2\right)^{4}+30720 \ln \left(2\right)^{3}-138240 \ln \left(2\right)^{2}+276480 \ln \left(2\right)-207360}{160 \ln \left(2\right)^{4} x^{20}}$&$151$\\ \hline \end{longtable}"," ",0,"(ln(2)^8-4*ln(2)^7-18*ln(2)^6+68*ln(2)^5+145*ln(2)^4-408*ln(2)^3-648*ln(2)^2+864*ln(2)+1296)/x^20/ln(2)^4","B"
2879,1,17,24,0.025000," ","int((256*x^4-512*x^3+2560*x^2-3328*x+5696)/(4*x^4-8*x^3+40*x^2-36*x+81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$64 x +\frac{128}{x^{2}+\frac{9}{2}-x}$&$17$\\ default&$64 x +\frac{256}{2 x^{2}-2 x +9}$&$19$\\ norman&$\frac{128 x^{3}+448 x +832}{2 x^{2}-2 x +9}$&$24$\\ gosper&$\frac{128 x^{3}+448 x +832}{2 x^{2}-2 x +9}$&$25$\\ \hline \end{longtable}"," ",0,"64*x+128/(x^2+9/2-x)","A"
2880,1,31,21,0.118000," ","int(1/3*(4*x*ln(-x^2)^2+8*x*ln(-x^2)-6*x^2-12*x)*ln(x)+2/3*x*ln(-x^2)^2-2/3*x^2-2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x^{2} \ln \left(x \right)-\frac{2 x^{3} \ln \left(x \right)}{3}+\frac{2 x^{2} \ln \left(-x^{2}\right)^{2} \ln \left(x \right)}{3}$&$31$\\ risch&$\frac{x^{2} \ln \left(-x^{2}\right)^{2}}{3}+\frac{\pi^{2} x^{2}}{3}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}}{3}-\frac{4 i x^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 \pi  \mathrm{csgn}\left(i x^{2}\right)^{2}-2 \pi -i\right) \ln \left(x \right)^{2}}{3}-\frac{2 i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{2}}{3}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{3}+\frac{2 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{3}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}}{12}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}}{3}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}}{6}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}}{3}+\frac{2 i x^{2} \pi}{3}+\frac{8 x^{2} \ln \left(x \right)^{3}}{3}+\frac{\left(-2 \pi^{2} x^{2}-2 x^{3}-2 x^{2}+2 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-4 i x^{2} \pi +2 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-4 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}}{2}+2 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}-2 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-4 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-2 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}+4 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{4}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}}{2}-2 i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{2}-2 \pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+2 \pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{5}-2 \pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}+4 \pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{2}\right) \ln \left(x \right)}{3}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}}{3}-\frac{2 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{4}}{3}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}}{12}-\frac{2 \ln \left(-x^{2}\right) x^{2}}{3}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{3}+\frac{2 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{3}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}}{3}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{5}}{3}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}}{3}-\frac{2 \pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{2}}{3}$&$839$\\ \hline \end{longtable}"," ",0,"-2*x^2*ln(x)-2/3*x^3*ln(x)+2/3*x^2*ln(-x^2)^2*ln(x)","A"
2881,1,84,23,0.530000," ","int((ln(x)*ln(ln(x))*ln(ln(ln(x))^2)+(-exp(x)+10*x+1)*ln(x)*ln(ln(x))+2)*exp(x*ln(ln(ln(x))^2)-exp(x)+5*x^2+x-1)/ln(x)/ln(ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)\right)^{2 x} {\mathrm e}^{-1-\frac{i x \pi  \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)^{3}}{2}+i x \pi  \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)^{2} \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right)-\frac{i x \pi  \,\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right) \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right)^{2}}{2}-{\mathrm e}^{x}+5 x^{2}+x}$&$84$\\ \hline \end{longtable}"," ",0,"ln(ln(x))^(2*x)*exp(-1-1/2*I*x*Pi*csgn(I*ln(ln(x))^2)^3+I*x*Pi*csgn(I*ln(ln(x))^2)^2*csgn(I*ln(ln(x)))-1/2*I*x*Pi*csgn(I*ln(ln(x))^2)*csgn(I*ln(ln(x)))^2-exp(x)+5*x^2+x)","C"
2882,1,31,16,0.023000," ","int(1/25*(32*x^3+64*x^2+64*x+32)*exp(x^2)+48/25*x^2+288/25*x+48/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(16 x^{2}+32 x +16\right) {\mathrm e}^{x^{2}}}{25}+\frac{16 x^{3}}{25}+\frac{144 x^{2}}{25}+\frac{48 x}{5}$&$31$\\ default&$\frac{48 x}{5}+\frac{144 x^{2}}{25}+\frac{16 x^{3}}{25}+\frac{16 x^{2} {\mathrm e}^{x^{2}}}{25}+\frac{16 \,{\mathrm e}^{x^{2}}}{25}+\frac{32 \,{\mathrm e}^{x^{2}} x}{25}$&$37$\\ norman&$\frac{48 x}{5}+\frac{144 x^{2}}{25}+\frac{16 x^{3}}{25}+\frac{16 x^{2} {\mathrm e}^{x^{2}}}{25}+\frac{16 \,{\mathrm e}^{x^{2}}}{25}+\frac{32 \,{\mathrm e}^{x^{2}} x}{25}$&$37$\\ \hline \end{longtable}"," ",0,"1/25*(16*x^2+32*x+16)*exp(x^2)+16/25*x^3+144/25*x^2+48/5*x","A"
2883,1,63,30,0.096000," ","int((2*x*exp(x^2)*exp(exp(x^2))^2+(2*x*ln(2)*exp(x^2)*ln(exp(5)^2+2*exp(5)+1)^2-2*x^2*exp(x^2)-1)*exp(exp(x^2))-ln(2)*ln(exp(5)^2+2*exp(5)+1)^2+x)/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \ln \left({\mathrm e}^{5}+1\right)^{2} x}{\ln \left(2\right)}+\frac{x^{2}}{2 \ln \left(2\right)^{2}}+\frac{{\mathrm e}^{2 \,{\mathrm e}^{x^{2}}}}{2 \ln \left(2\right)^{2}}+\frac{\left(4 \ln \left(2\right) \ln \left({\mathrm e}^{5}+1\right)^{2}-x \right) {\mathrm e}^{{\mathrm e}^{x^{2}}}}{\ln \left(2\right)^{2}}$&$63$\\ default&$\frac{\frac{x^{2}}{2}+\ln \left(2\right) \ln \left({\mathrm e}^{10}+2 \,{\mathrm e}^{5}+1\right)^{2} {\mathrm e}^{{\mathrm e}^{x^{2}}}-{\mathrm e}^{{\mathrm e}^{x^{2}}} x -\ln \left(2\right) \ln \left({\mathrm e}^{10}+2 \,{\mathrm e}^{5}+1\right)^{2} x +\frac{{\mathrm e}^{2 \,{\mathrm e}^{x^{2}}}}{2}}{\ln \left(2\right)^{2}}$&$68$\\ norman&$\frac{\ln \left({\mathrm e}^{10}+2 \,{\mathrm e}^{5}+1\right)^{2} {\mathrm e}^{{\mathrm e}^{x^{2}}}+\frac{x^{2}}{2 \ln \left(2\right)}+\frac{{\mathrm e}^{2 \,{\mathrm e}^{x^{2}}}}{2 \ln \left(2\right)}-\ln \left({\mathrm e}^{10}+2 \,{\mathrm e}^{5}+1\right)^{2} x -\frac{x \,{\mathrm e}^{{\mathrm e}^{x^{2}}}}{\ln \left(2\right)}}{\ln \left(2\right)}$&$76$\\ \hline \end{longtable}"," ",0,"-4/ln(2)*ln(exp(5)+1)^2*x+1/2*x^2/ln(2)^2+1/2/ln(2)^2*exp(2*exp(x^2))+1/ln(2)^2*(4*ln(2)*ln(exp(5)+1)^2-x)*exp(exp(x^2))","B"
2884,1,13,27,0.457000," ","int(((x-3)*ln(3-x)-x+6)/(x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(3-x \right)-2 x$&$13$\\ risch&$x \ln \left(3-x \right)-2 x$&$13$\\ derivativedivides&$-\left(3-x \right) \ln \left(3-x \right)+6-2 x +3 \ln \left(3-x \right)$&$27$\\ default&$-\left(3-x \right) \ln \left(3-x \right)+6-2 x +3 \ln \left(3-x \right)$&$27$\\ \hline \end{longtable}"," ",0,"x*ln(3-x)-2*x","A"
2885,1,22,20,0.045000," ","int(((((-4*x^4-16*x^3)*exp(x+1)+5)*ln(x)+(-32*x^4-128*x^3)*exp(x+1)+40)*ln(ln(x)+8)+4*x^3*exp(x+1)-5)/(ln(x)+8)/ln(ln(x)+8)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \left(4 x^{3} {\mathrm e}^{x +1}-5\right)}{\ln \left(\ln \left(x \right)+8\right)}$&$22$\\ \hline \end{longtable}"," ",0,"-x*(4*x^3*exp(x+1)-5)/ln(ln(x)+8)","A"
2886,1,39,29,0.104000," ","int((-18*exp(2)*x+18*x)*exp(3)*exp(-3*x^2+4)/((3*exp(2)-3)*exp(3)*exp(-3*x^2+4)+(-12*exp(2)+11)*exp(3)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4+\ln \left({\mathrm e}^{-3 x^{2}+4}-\frac{\left(12 \,{\mathrm e}^{4}-12 \,{\mathrm e}^{3}+{\mathrm e}^{2}-{\mathrm e}+1\right) {\mathrm e}^{-3}}{3 \left({\mathrm e}-1\right)}\right)$&$39$\\ norman&$\ln \left(3 \,{\mathrm e}^{3} {\mathrm e}^{-3 x^{2}+4} {\mathrm e}^{2}-12 \,{\mathrm e}^{2} {\mathrm e}^{3}-3 \,{\mathrm e}^{3} {\mathrm e}^{-3 x^{2}+4}+11 \,{\mathrm e}^{3}-1\right)$&$40$\\ default&$18 \,{\mathrm e}^{3} \left(\frac{{\mathrm e}^{4} \ln \left({\mathrm e}^{x^{2}}\right)}{6 \,{\mathrm e}^{9}-6 \,{\mathrm e}^{7}}-\frac{{\mathrm e}^{4} \ln \left(12 \,{\mathrm e}^{3 x^{2}} {\mathrm e}^{5}-11 \,{\mathrm e}^{3} {\mathrm e}^{3 x^{2}}+{\mathrm e}^{3 x^{2}}-3 \,{\mathrm e}^{9}+3 \,{\mathrm e}^{7}\right)}{6 \left(3 \,{\mathrm e}^{9}-3 \,{\mathrm e}^{7}\right)}-\frac{{\mathrm e}^{2} {\mathrm e}^{4} \ln \left({\mathrm e}^{x^{2}}\right)}{2 \left(3 \,{\mathrm e}^{9}-3 \,{\mathrm e}^{7}\right)}+\frac{{\mathrm e}^{2} {\mathrm e}^{4} \ln \left(12 \,{\mathrm e}^{3 x^{2}} {\mathrm e}^{5}-11 \,{\mathrm e}^{3} {\mathrm e}^{3 x^{2}}+{\mathrm e}^{3 x^{2}}-3 \,{\mathrm e}^{9}+3 \,{\mathrm e}^{7}\right)}{18 \,{\mathrm e}^{9}-18 \,{\mathrm e}^{7}}\right)$&$152$\\ \hline \end{longtable}"," ",0,"-4+ln(exp(-3*x^2+4)-1/3*(12*exp(4)-12*exp(3)+exp(2)-exp(1)+1)*exp(-3)/(exp(1)-1))","A"
2887,1,18,19,0.041000," ","int(((x-1)*exp(x)+exp(1)+4*x^2-9)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 x^{2}-{\mathrm e}+9+{\mathrm e}^{x}}{x}$&$18$\\ default&$4 x -\frac{{\mathrm e}}{x}+\frac{9}{x}+\frac{{\mathrm e}^{x}}{x}$&$23$\\ risch&$4 x -\frac{{\mathrm e}}{x}+\frac{9}{x}+\frac{{\mathrm e}^{x}}{x}$&$23$\\ \hline \end{longtable}"," ",0,"(4*x^2-exp(1)+9+exp(x))/x","A"
2888,1,20,20,0.119000," ","int(1/3*((-3*x-3)*exp(x)+3*exp(5)-3)*exp(-exp(x)*x+x*exp(5)-x-9)-5/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{5 x}{3}+{\mathrm e}^{-{\mathrm e}^{x} x +x \,{\mathrm e}^{5}-x -9}$&$20$\\ norman&$-\frac{5 x}{3}+{\mathrm e}^{-{\mathrm e}^{x} x +x \,{\mathrm e}^{5}-x -9}$&$20$\\ risch&$-\frac{5 x}{3}+{\mathrm e}^{-{\mathrm e}^{x} x +x \,{\mathrm e}^{5}-x -9}$&$20$\\ \hline \end{longtable}"," ",0,"-5/3*x+exp(-exp(x)*x+x*exp(5)-x-9)","A"
2889,1,20,22,0.040000," ","int(1/6*(18*exp(x)*x^3+6*x^3*exp(2)-exp(1)-48*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-8 x +\frac{{\mathrm e}}{12 x^{2}}+{\mathrm e}^{2} x +3 \,{\mathrm e}^{x}$&$20$\\ risch&$-8 x +\frac{{\mathrm e}}{12 x^{2}}+{\mathrm e}^{2} x +3 \,{\mathrm e}^{x}$&$20$\\ norman&$\frac{\left(-8+{\mathrm e}^{2}\right) x^{3}+3 \,{\mathrm e}^{x} x^{2}+\frac{{\mathrm e}}{12}}{x^{2}}$&$25$\\ \hline \end{longtable}"," ",0,"-8*x+1/12*exp(1)/x^2+exp(2)*x+3*exp(x)","A"
2890,1,10,13,0.459000," ","int(2/(x-4)/ln(2*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$2 \ln \left(\ln \left(2 x -8\right)\right)$&$10$\\ default&$2 \ln \left(\ln \left(2 x -8\right)\right)$&$10$\\ norman&$2 \ln \left(\ln \left(2 x -8\right)\right)$&$10$\\ risch&$2 \ln \left(\ln \left(2 x -8\right)\right)$&$10$\\ \hline \end{longtable}"," ",0,"2*ln(ln(2*x-8))","A"
2891,1,21,17,0.118000," ","int((ln(1/10*ln(5/3)^2-5)+4*x)/x/ln(1/10*ln(5/3)^2-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4 x}{\ln \left(10\right)-\ln \left(\ln \left(\frac{5}{3}\right)^{2}-50\right)}+\ln \left(x \right)$&$21$\\ risch&$\frac{4 x}{\ln \left(\frac{\left(\ln \left(5\right)-\ln \left(3\right)\right)^{2}}{10}-5\right)}+\ln \left(x \right)$&$23$\\ default&$\frac{4 x +\ln \left(\frac{\ln \left(\frac{5}{3}\right)^{2}}{10}-5\right) \ln \left(x \right)}{\ln \left(\frac{\ln \left(\frac{5}{3}\right)^{2}}{10}-5\right)}$&$29$\\ \hline \end{longtable}"," ",0,"-4/(ln(10)-ln(ln(5/3)^2-50))*x+ln(x)","A"
2892,1,22,24,0.542000," ","int(((-7*x^2+56*x-124)*exp(exp(x))+(x^3-8*x^2+16*x)*exp(2)*exp(x)+(-x^2+8*x-16)*exp(2))/(x^2-8*x+16)/exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-7 x +\frac{12}{x -4}-x \,{\mathrm e}^{-{\mathrm e}^{x}+2}$&$22$\\ norman&$\frac{\left(124 \,{\mathrm e}^{{\mathrm e}^{x}}-x^{2} {\mathrm e}^{2}+4 \,{\mathrm e}^{2} x -7 \,{\mathrm e}^{{\mathrm e}^{x}} x^{2}\right) {\mathrm e}^{-{\mathrm e}^{x}}}{x -4}$&$38$\\ \hline \end{longtable}"," ",0,"-7*x+12/(x-4)-x*exp(-exp(x)+2)","A"
2893,1,307,30,0.159000," ","int(((-15*x^3-150*x^2-387*x-60)*ln((5*x^3+25*x^2+4*x)/(15*x+75))+(-5*x^4-20*x^3+171*x^2+730*x+60)*ln(x)+5*x^4+50*x^3+129*x^2+20*x)/(5*x^4+50*x^3+129*x^2+20*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \ln \left(x^{2}+5 x +\frac{4}{5}\right)}{\ln \left(x \right)}-\frac{3 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(x^{2}+5 x +\frac{4}{5}\right)}{5+x}\right) \mathrm{csgn}\left(\frac{i x \left(x^{2}+5 x +\frac{4}{5}\right)}{5+x}\right)-3 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(x^{2}+5 x +\frac{4}{5}\right)}{5+x}\right)^{2}+3 i \pi  \,\mathrm{csgn}\left(\frac{i}{5+x}\right) \mathrm{csgn}\left(i \left(x^{2}+5 x +\frac{4}{5}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+5 x +\frac{4}{5}\right)}{5+x}\right)-3 i \pi  \,\mathrm{csgn}\left(\frac{i}{5+x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+5 x +\frac{4}{5}\right)}{5+x}\right)^{2}-3 i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+5 x +\frac{4}{5}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+5 x +\frac{4}{5}\right)}{5+x}\right)^{2}+3 i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+5 x +\frac{4}{5}\right)}{5+x}\right)^{3}-3 i \pi  \,\mathrm{csgn}\left(\frac{i \left(x^{2}+5 x +\frac{4}{5}\right)}{5+x}\right) \mathrm{csgn}\left(\frac{i x \left(x^{2}+5 x +\frac{4}{5}\right)}{5+x}\right)^{2}+3 i \pi  \mathrm{csgn}\left(\frac{i x \left(x^{2}+5 x +\frac{4}{5}\right)}{5+x}\right)^{3}+6 \ln \left(3\right)+2 x +6 \ln \left(5+x \right)}{2 \ln \left(x \right)}$&$307$\\ \hline \end{longtable}"," ",0,"3/ln(x)*ln(x^2+5*x+4/5)-1/2*(3*I*Pi*csgn(I*x)*csgn(I/(5+x)*(x^2+5*x+4/5))*csgn(I*x*(x^2+5*x+4/5)/(5+x))-3*I*Pi*csgn(I*x)*csgn(I*x*(x^2+5*x+4/5)/(5+x))^2+3*I*Pi*csgn(I/(5+x))*csgn(I*(x^2+5*x+4/5))*csgn(I/(5+x)*(x^2+5*x+4/5))-3*I*Pi*csgn(I/(5+x))*csgn(I/(5+x)*(x^2+5*x+4/5))^2-3*I*Pi*csgn(I*(x^2+5*x+4/5))*csgn(I/(5+x)*(x^2+5*x+4/5))^2+3*I*Pi*csgn(I/(5+x)*(x^2+5*x+4/5))^3-3*I*Pi*csgn(I/(5+x)*(x^2+5*x+4/5))*csgn(I*x*(x^2+5*x+4/5)/(5+x))^2+3*I*Pi*csgn(I*x*(x^2+5*x+4/5)/(5+x))^3+6*ln(3)+2*x+6*ln(5+x))/ln(x)","C"
2894,1,40,24,0.129000," ","int(((x^2+4*x+4)*ln(ln(2))+(-2*x^3-8*x^2-8*x)*ln(x)-9*x^3-32*x^2-20*x+4)/((x^3+4*x^2+4*x)*ln(ln(2))+(-x^4-4*x^3-4*x^2)*ln(x)-4*x^4-12*x^3-6*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right)+\ln \left(\ln \left(x \right)-\frac{x \ln \left(\ln \left(2\right)\right)-4 x^{2}+2 \ln \left(\ln \left(2\right)\right)-4 x +2}{x \left(2+x \right)}\right)$&$40$\\ norman&$\ln \left(x \right)-\ln \left(2+x \right)+\ln \left(-x^{2} \ln \left(x \right)+x \ln \left(\ln \left(2\right)\right)-4 x^{2}-2 x \ln \left(x \right)+2 \ln \left(\ln \left(2\right)\right)-4 x +2\right)$&$43$\\ \hline \end{longtable}"," ",0,"2*ln(x)+ln(ln(x)-(x*ln(ln(2))-4*x^2+2*ln(ln(2))-4*x+2)/x/(2+x))","A"
2895,1,23,18,0.023000," ","int(1/9*(-18*x-9)*exp(x)^2+1/9*(-x^2+27*x+27)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{2 x}+\frac{\left(-x^{2}+29 x -2\right) {\mathrm e}^{x}}{9}$&$23$\\ default&$-x \,{\mathrm e}^{2 x}+\frac{29 \,{\mathrm e}^{x} x}{9}-\frac{2 \,{\mathrm e}^{x}}{9}-\frac{{\mathrm e}^{x} x^{2}}{9}$&$25$\\ norman&$-x \,{\mathrm e}^{2 x}+\frac{29 \,{\mathrm e}^{x} x}{9}-\frac{2 \,{\mathrm e}^{x}}{9}-\frac{{\mathrm e}^{x} x^{2}}{9}$&$25$\\ meijerg&$\frac{2}{9}-\frac{{\mathrm e}^{2 x}}{2}+\frac{\left(-4 x +2\right) {\mathrm e}^{2 x}}{4}+3 \,{\mathrm e}^{x}-\frac{\left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}}{27}-\frac{3 \left(-2 x +2\right) {\mathrm e}^{x}}{2}$&$47$\\ \hline \end{longtable}"," ",0,"-x*exp(2*x)+1/9*(-x^2+29*x-2)*exp(x)","A"
2896,1,61,26,0.334000," ","int((64*x*ln(x)+(15*x-3)*ln(2)-240*x^2-16*x)*exp(-ln(-ln(x)+5*x)+ln((81*ln(2)^4+1728*x*ln(2)^3+13824*x^2*ln(2)^2+49152*x^3*ln(2)+65536*x^4)/ln(2)^4)+4)/((3*x*ln(2)+16*x^2)*ln(x)-15*x^2*ln(2)-80*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1728 \,{\mathrm e}^{4} \ln \left(2\right)^{2} x +49152 x^{3} {\mathrm e}^{4}+81 \,{\mathrm e}^{4} \ln \left(2\right)^{3}+13824 x^{2} {\mathrm e}^{4} \ln \left(2\right)+\frac{65536 \,{\mathrm e}^{4} x^{4}}{\ln \left(2\right)}}{\left(-\ln \left(x \right)+5 x \right) \ln \left(2\right)^{3}}$&$61$\\ default&$\frac{{\mathrm e}^{4} \left(\frac{65536 x^{4}}{-\ln \left(x \right)+5 x}+\frac{1728 \ln \left(2\right)^{3} \ln \left(x \right)}{5 \left(-\ln \left(x \right)+5 x \right)}+\frac{13824 \ln \left(2\right)^{2} x^{2}}{-\ln \left(x \right)+5 x}+\frac{49152 x^{3} \ln \left(2\right)}{-\ln \left(x \right)+5 x}+\frac{81 \ln \left(2\right)^{4}}{-\ln \left(x \right)+5 x}\right)}{\ln \left(2\right)^{4}}$&$94$\\ \hline \end{longtable}"," ",0,"(1728*exp(4)*ln(2)^2*x+49152*x^3*exp(4)+81*exp(4)*ln(2)^3+13824*x^2*exp(4)*ln(2)+65536*exp(4)/ln(2)*x^4)/(-ln(x)+5*x)/ln(2)^3","B"
2897,1,59,28,0.078000," ","int((4*exp(5)*exp(2/exp((exp(5)+5*x)/x))^2+((-4*x^3+2*x^2)*exp((exp(5)+5*x)/x)+(-4*x^2+4*x+4)*exp(5))*exp(2/exp((exp(5)+5*x)/x))+(4*x^5-6*x^4-2*x^3+2*x^2)*exp((exp(5)+5*x)/x))/x^2/exp((exp(5)+5*x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}-2 x^{3}-x^{2}+{\mathrm e}^{4 \,{\mathrm e}^{-\frac{{\mathrm e}^{5}+5 x}{x}}}+2 x +\left(-2 x^{2}+2 x +2\right) {\mathrm e}^{2 \,{\mathrm e}^{-\frac{{\mathrm e}^{5}+5 x}{x}}}$&$59$\\ \hline \end{longtable}"," ",0,"x^4-2*x^3-x^2+exp(4*exp(-(exp(5)+5*x)/x))+2*x+(-2*x^2+2*x+2)*exp(2*exp(-(exp(5)+5*x)/x))","B"
2898,1,43,20,0.027000," ","int(((4*x^3*ln(x)^4+20*x^3*ln(x)^3+36*x^3*ln(x)^2+28*x^3*ln(x)+8*x^3)*exp(x^4*ln(x)^4+4*x^4*ln(x)^3+6*x^4*ln(x)^2+4*x^4*ln(x)+x^4)*exp(exp(x^4*ln(x)^4+4*x^4*ln(x)^3+6*x^4*ln(x)^2+4*x^4*ln(x)+x^4))-3*x^2+3)/(exp(exp(x^4*ln(x)^4+4*x^4*ln(x)^3+6*x^4*ln(x)^2+4*x^4*ln(x)+x^4))-x^3+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{x^{4 x^{4}} {\mathrm e}^{x^{4} \left(\ln \left(x \right)^{4}+4 \ln \left(x \right)^{3}+6 \ln \left(x \right)^{2}+1\right)}}-x^{3}+3 x \right)$&$43$\\ derivativedivides&$\ln \left({\mathrm e}^{{\mathrm e}^{x^{4} \ln \left(x \right)^{4}+4 x^{4} \ln \left(x \right)^{3}+6 x^{4} \ln \left(x \right)^{2}+4 x^{4} \ln \left(x \right)+x^{4}}}-x^{3}+3 x \right)$&$50$\\ default&$\ln \left({\mathrm e}^{{\mathrm e}^{x^{4} \ln \left(x \right)^{4}+4 x^{4} \ln \left(x \right)^{3}+6 x^{4} \ln \left(x \right)^{2}+4 x^{4} \ln \left(x \right)+x^{4}}}-x^{3}+3 x \right)$&$50$\\ \hline \end{longtable}"," ",0,"ln(exp(x^(4*x^4)*exp(x^4*(ln(x)^4+4*ln(x)^3+6*ln(x)^2+1)))-x^3+3*x)","B"
2899,1,277,31,0.162000," ","int((((6*x^2+42*x+42)*ln(x)-6*x^3-42*x^2-42*x)*ln(-x/(2*ln(x)-2*x))+(9*x^2+9*x)*ln(x)-15*x^3-36*x^2-9*x+42)/((x^4+4*x^3+4*x^2)*ln(x)-x^5-4*x^4-4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \left(7+2 x \right) \ln \left(x -\ln \left(x \right)\right)}{x \left(2+x \right)}+\frac{3 i \pi  x \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)-x}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)-x}\right)^{2}+\frac{21 i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)-x}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)-x}\right)^{2}}{2}-3 i \pi  x \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)-x}\right)^{3}+\frac{21 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)-x}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)-x}\right)}{2}-\frac{21 i \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)-x}\right)^{3}}{2}-3 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)-x}\right)^{2}-\frac{21 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)-x}\right)^{2}}{2}+3 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)-x}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)-x}\right)-21+6 x \ln \left(2\right)-6 x \ln \left(x \right)+21 \ln \left(2\right)-15 x -21 \ln \left(x \right)}{x \left(2+x \right)}$&$277$\\ \hline \end{longtable}"," ",0,"3*(7+2*x)/x/(2+x)*ln(x-ln(x))+3/2*(2*I*Pi*x*csgn(I/(ln(x)-x))*csgn(I*x/(ln(x)-x))^2+7*I*Pi*csgn(I/(ln(x)-x))*csgn(I*x/(ln(x)-x))^2-2*I*Pi*x*csgn(I*x/(ln(x)-x))^3+7*I*Pi*csgn(I*x)*csgn(I/(ln(x)-x))*csgn(I*x/(ln(x)-x))-7*I*Pi*csgn(I*x/(ln(x)-x))^3-2*I*Pi*x*csgn(I*x)*csgn(I*x/(ln(x)-x))^2-7*I*Pi*csgn(I*x)*csgn(I*x/(ln(x)-x))^2+2*I*Pi*x*csgn(I*x)*csgn(I/(ln(x)-x))*csgn(I*x/(ln(x)-x))-14+4*x*ln(2)-4*x*ln(x)+14*ln(2)-10*x-14*ln(x))/x/(2+x)","C"
2900,1,9,8,0.019000," ","int(1/12*(24*x-17)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -\frac{17 \ln \left(x \right)}{12}$&$9$\\ norman&$2 x -\frac{17 \ln \left(x \right)}{12}$&$9$\\ risch&$2 x -\frac{17 \ln \left(x \right)}{12}$&$9$\\ \hline \end{longtable}"," ",0,"2*x-17/12*ln(x)","A"
2901,1,29,19,0.439000," ","int(((9-x)*ln(x)+(-75*x^3+475*x^2+1800*x)*ln(x-9)-25*x^3-98*x^2-17*x-9)/(x-9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-25 x^{3}-100 x^{2}\right) \ln \left(x -9\right)+x^{2}-x \ln \left(x \right)+2 x$&$29$\\ default&$x^{2}+2 x -26325 \ln \left(x -9\right)-25 \ln \left(x -9\right) \left(x -9\right)^{3}-\frac{91125}{2}-775 \ln \left(x -9\right) \left(x -9\right)^{2}-7875 \ln \left(x -9\right) \left(x -9\right)-x \ln \left(x \right)$&$51$\\ \hline \end{longtable}"," ",0,"(-25*x^3-100*x^2)*ln(x-9)+x^2-x*ln(x)+2*x","A"
2902,0,0,17,0.014000," ","int(((-2*x^2-2*x)*ln(x^2+x)*ln(ln(x^2+x))+(-2*x^3-4*x^2-2*x)*ln(x^2+x)-4*x-2)/((x^2+x)*ln(x^2+x)*ln(ln(x^2+x))+(x^3+x^2)*ln(x^2+x)),x)","\[\int \frac{\left(-2 x^{2}-2 x \right) \ln \left(x^{2}+x \right) \ln \left(\ln \left(x^{2}+x \right)\right)+\left(-2 x^{3}-4 x^{2}-2 x \right) \ln \left(x^{2}+x \right)-4 x -2}{\left(x^{2}+x \right) \ln \left(x^{2}+x \right) \ln \left(\ln \left(x^{2}+x \right)\right)+\left(x^{3}+x^{2}\right) \ln \left(x^{2}+x \right)}\, dx\]"," ",0,"int(((-2*x^2-2*x)*ln(x^2+x)*ln(ln(x^2+x))+(-2*x^3-4*x^2-2*x)*ln(x^2+x)-4*x-2)/((x^2+x)*ln(x^2+x)*ln(ln(x^2+x))+(x^3+x^2)*ln(x^2+x)),x)","F"
2903,1,50,32,0.044000," ","int((2*x^10+x^9+2*x^7-10*x^6+12*x^5-56*x^4+50*x^3-120*x^2-200)/(4*x^11+4*x^10+4*x^9-8*x^8+20*x^7-16*x^6+56*x^5-40*x^4+80*x^3+100*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(x \right)+\frac{\ln \left(x^{10}+x^{9}+x^{8}-2 x^{7}+5 x^{6}-4 x^{5}+14 x^{4}-10 x^{3}+20 x^{2}+25\right)}{4}$&$50$\\ norman&$-2 \ln \left(x \right)+\frac{\ln \left(x^{10}+x^{9}+x^{8}-2 x^{7}+5 x^{6}-4 x^{5}+14 x^{4}-10 x^{3}+20 x^{2}+25\right)}{4}$&$50$\\ risch&$-2 \ln \left(x \right)+\frac{\ln \left(x^{10}+x^{9}+x^{8}-2 x^{7}+5 x^{6}-4 x^{5}+14 x^{4}-10 x^{3}+20 x^{2}+25\right)}{4}$&$50$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+1/4*ln(x^10+x^9+x^8-2*x^7+5*x^6-4*x^5+14*x^4-10*x^3+20*x^2+25)","A"
2904,1,22,21,0.080000," ","int((-4*exp(1)^2+(16*x-39366)*exp(1)-16*x^2+118098*x)/(x^3*exp(1)^2-4*x^4*exp(1)+4*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{19683-4 x +2 \,{\mathrm e}}{x^{2} \left({\mathrm e}-2 x \right)}$&$22$\\ norman&$\frac{19683-4 x +2 \,{\mathrm e}}{x^{2} \left({\mathrm e}-2 x \right)}$&$22$\\ risch&$\frac{19683-4 x +2 \,{\mathrm e}}{x^{2} \left({\mathrm e}-2 x \right)}$&$22$\\ \hline \end{longtable}"," ",0,"1/x^2*(19683-4*x+2*exp(1))/(exp(1)-2*x)","A"
2905,1,17,17,0.034000," ","int(((-2*x^2+x+1)*ln(5*x)-1)/x/ln(5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+x -x^{2}-\ln \left(\ln \left(5 x \right)\right)$&$17$\\ derivativedivides&$-x^{2}+x +\ln \left(5 x \right)-\ln \left(\ln \left(5 x \right)\right)$&$19$\\ default&$-x^{2}+x +\ln \left(5 x \right)-\ln \left(\ln \left(5 x \right)\right)$&$19$\\ norman&$-x^{2}+x +\ln \left(5 x \right)-\ln \left(\ln \left(5 x \right)\right)$&$19$\\ \hline \end{longtable}"," ",0,"ln(x)+x-x^2-ln(ln(5*x))","A"
2906,1,27,20,0.059000," ","int(((60*x^4-120*x^3)*exp(x)-1)/((10800*x^6-86400*x^5+259200*x^4-345600*x^3+172800*x^2)*exp(x)^2+(360*x^3-1440*x^2+1440*x)*exp(x)+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x}{3 \left(60 \,{\mathrm e}^{x} x^{3}-240 \,{\mathrm e}^{x} x^{2}+240 \,{\mathrm e}^{x} x +1\right)}$&$27$\\ risch&$-\frac{x}{3 \left(60 \,{\mathrm e}^{x} x^{3}-240 \,{\mathrm e}^{x} x^{2}+240 \,{\mathrm e}^{x} x +1\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-1/3*x/(60*exp(x)*x^3-240*exp(x)*x^2+240*exp(x)*x+1)","A"
2907,1,259,31,0.168000," ","int(((-10*x^4+40*x^3-40*x^2)*ln(x)^2+((x^2-2*x+2)*ln(-x^2+x)-2*x^2+5*x-2)*ln(x)+(x^2-3*x+2)*ln(-x^2+x))/(30*x^4-120*x^3+120*x^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x -1\right) \ln \left(x -1\right)}{30 x \left(x -2\right) \ln \left(x \right)}-\frac{-i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}+i \pi  x \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}-i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)-2 i \pi -i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)-i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \right)-2 i \pi  x \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}+2 i x \pi +2 i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}+i \pi  x \,\mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}+i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \left(x -1\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right)+20 x^{3} \ln \left(x \right)-40 x^{2} \ln \left(x \right)+2 x \ln \left(x \right)-2 \ln \left(x \right)}{60 x \left(x -2\right) \ln \left(x \right)}$&$259$\\ \hline \end{longtable}"," ",0,"-1/30/x*(x-1)/(x-2)/ln(x)*ln(x-1)-1/60*(-I*Pi*csgn(I*x*(x-1))^3+I*Pi*x*csgn(I*x*(x-1))^3-I*Pi*csgn(I*(x-1))*csgn(I*x*(x-1))^2-2*I*Pi-I*Pi*x*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))-I*Pi*csgn(I*x)*csgn(I*x*(x-1))^2-2*I*Pi*x*csgn(I*x*(x-1))^2+2*I*Pi*x+2*I*Pi*csgn(I*x*(x-1))^2+I*Pi*x*csgn(I*(x-1))*csgn(I*x*(x-1))^2+I*Pi*x*csgn(I*x)*csgn(I*x*(x-1))^2+I*Pi*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))+20*x^3*ln(x)-40*x^2*ln(x)+2*x*ln(x)-2*ln(x))/x/(x-2)/ln(x)","C"
2908,1,33,24,0.099000," ","int(((-60*x^4-80*x^3+50)*ln(x)+40*x^5-120*x^4-200*x^3-25*x^2-75*x+200)/(16*x^8+64*x^7+64*x^6+40*x^5+160*x^4+160*x^3+25*x^2+100*x+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{15 x -5 x^{2}+5 x \ln \left(x \right)}{4 x^{4}+8 x^{3}+5 x +10}$&$33$\\ risch&$\frac{5 x \ln \left(x \right)}{4 x^{4}+8 x^{3}+5 x +10}-\frac{5 x \left(x -3\right)}{4 x^{4}+8 x^{3}+5 x +10}$&$47$\\ default&$\frac{-\frac{50}{27} x^{2}+\frac{265}{108} x -\frac{125}{108}}{x^{3}+\frac{5}{4}}+\frac{50}{27 \left(2+x \right)}-\frac{5 \ln \left(x \right) x}{27 \left(2+x \right)}+\frac{20 \ln \left(x \right) x \left(x^{2}-2 x +4\right)}{27 \left(4 x^{3}+5\right)}$&$60$\\ \hline \end{longtable}"," ",0,"(15*x-5*x^2+5*x*ln(x))/(4*x^4+8*x^3+5*x+10)","A"
2909,1,38,24,0.123000," ","int(1/5*((2*x*exp(x+25)+10)*exp(ln(x)+1/5*exp(x+25)+ln(5)+5)^2+((2*x^2-6*x)*exp(x+25)+20*x-30)*exp(ln(x)+1/5*exp(x+25)+ln(5)+5)+10*x^2-25*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+25 x^{2} {\mathrm e}^{10+\frac{2 \,{\mathrm e}^{x +25}}{5}}-5 x +\left(10 x -30\right) x \,{\mathrm e}^{5+\frac{{\mathrm e}^{x +25}}{5}}$&$38$\\ \hline \end{longtable}"," ",0,"x^2+25*x^2*exp(10+2/5*exp(x+25))-5*x+(10*x-30)*x*exp(5+1/5*exp(x+25))","A"
2910,1,88,23,0.460000," ","int(((2*ln(2)^2+2*x+4)*ln((25*ln(2)^4+50*x*ln(2)^2+25*x^2)/exp(5)^2)+(2*x+2)*ln(2)^2+2*x^2+6*x+4)/(ln(2)^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-18 x +x^{2}-36 \ln \left(\ln \left(2\right)^{2}+x \right)+8 \ln \left(5\right) \ln \left(\ln \left(2\right)^{2}+x \right)+4 x \ln \left(5\right)+2 x \ln \left(\ln \left(2\right)^{4}+2 x \ln \left(2\right)^{2}+x^{2}\right)+4 \ln \left(\ln \left(2\right)^{2}+x \right) \ln \left(\ln \left(2\right)^{4}+2 x \ln \left(2\right)^{2}+x^{2}\right)-4 \ln \left(\ln \left(2\right)^{2}+x \right)^{2}$&$88$\\ norman&$x^{2}+\ln \left(\left(25 \ln \left(2\right)^{4}+50 x \ln \left(2\right)^{2}+25 x^{2}\right) {\mathrm e}^{-10}\right)^{2}+2 \ln \left(\left(25 \ln \left(2\right)^{4}+50 x \ln \left(2\right)^{2}+25 x^{2}\right) {\mathrm e}^{-10}\right)+2 x +2 x \ln \left(\left(25 \ln \left(2\right)^{4}+50 x \ln \left(2\right)^{2}+25 x^{2}\right) {\mathrm e}^{-10}\right)$&$90$\\ risch&$x^{2}+2 x +4 \ln \left(\ln \left(2\right)^{2}+x \right)+2 \ln \left(\left(\ln \left(2\right)^{4}+2 x \ln \left(2\right)^{2}+x^{2}\right) {\mathrm e}^{-10}\right) x +4 \ln \left(\ln \left(2\right)^{2}+x \right) \ln \left(\left(\ln \left(2\right)^{4}+2 x \ln \left(2\right)^{2}+x^{2}\right) {\mathrm e}^{-10}\right)-4 \ln \left(\ln \left(2\right)^{2}+x \right)^{2}+8 \ln \left(5\right) \ln \left(\ln \left(2\right)^{2}+x \right)+4 x \ln \left(5\right)$&$94$\\ \hline \end{longtable}"," ",0,"-18*x+x^2-36*ln(ln(2)^2+x)+8*ln(5)*ln(ln(2)^2+x)+4*x*ln(5)+2*x*ln(ln(2)^4+2*x*ln(2)^2+x^2)+4*ln(ln(2)^2+x)*ln(ln(2)^4+2*x*ln(2)^2+x^2)-4*ln(ln(2)^2+x)^2","B"
2911,1,29,22,0.030000," ","int((exp((16*ln(2)^2*ln(3)+(x+10)*ln(3)+5)/ln(3))-1)/(exp((16*ln(2)^2*ln(3)+(x+10)*ln(3)+5)/ln(3))-x)/ln(exp((16*ln(2)^2*ln(3)+(x+10)*ln(3)+5)/ln(3))-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\ln \left({\mathrm e}^{\frac{16 \ln \left(2\right)^{2} \ln \left(3\right)+\left(x +10\right) \ln \left(3\right)+5}{\ln \left(3\right)}}-x \right)\right)$&$29$\\ default&$\ln \left(\ln \left({\mathrm e}^{\frac{16 \ln \left(2\right)^{2} \ln \left(3\right)+\left(x +10\right) \ln \left(3\right)+5}{\ln \left(3\right)}}-x \right)\right)$&$29$\\ norman&$\ln \left(\ln \left({\mathrm e}^{\frac{16 \ln \left(2\right)^{2} \ln \left(3\right)+\left(x +10\right) \ln \left(3\right)+5}{\ln \left(3\right)}}-x \right)\right)$&$29$\\ risch&$\ln \left(\ln \left({\mathrm e}^{\frac{16 \ln \left(2\right)^{2} \ln \left(3\right)+x \ln \left(3\right)+10 \ln \left(3\right)+5}{\ln \left(3\right)}}-x \right)\right)$&$31$\\ \hline \end{longtable}"," ",0,"ln(ln(exp((16*ln(2)^2*ln(3)+(x+10)*ln(3)+5)/ln(3))-x))","A"
2912,1,33,26,0.224000," ","int((((-2*x^5-4*x^4+6*x^3+8*x^2-8*x)*exp(4)^2+3*x^4+4*x^3-3*x^2-4)*exp(x*exp(4)^2)-3*x^4-4*x^3+3*x^2+4)*exp((x^4+2*x^3-3*x^2-4*x+4)/(x*exp(x*exp(4)^2)^2-2*x*exp(x*exp(4)^2)+x))/(x^2*exp(x*exp(4)^2)^3-3*x^2*exp(x*exp(4)^2)^2+3*x^2*exp(x*exp(4)^2)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(2+x \right)^{2} \left(x -1\right)^{2}}{x \left({\mathrm e}^{2 x \,{\mathrm e}^{8}}-2 \,{\mathrm e}^{x \,{\mathrm e}^{8}}+1\right)}}$&$33$\\ \hline \end{longtable}"," ",0,"exp((2+x)^2*(x-1)^2/x/(exp(2*x*exp(8))-2*exp(x*exp(8))+1))","A"
2913,1,5485,22,0.870000," ","int(((-50*ln(x)-50*ln(2))*ln(4*x^2*exp(x)^2*ln(x)+4*x^2*ln(2)*exp(x)^2)^2+((100*x+100)*ln(x)+(100*x+100)*ln(2)+50)*ln(4*x^2*exp(x)^2*ln(x)+4*x^2*ln(2)*exp(x)^2))/(x^3*ln(x)+x^3*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$5485$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
2914,1,22,21,0.463000," ","int(((-288*x^2+72*x)*ln(4*x^2-x)-216*x^2+18*x)/(4*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-36 \ln \left(4 x^{2}-x \right) x^{2}+9 x^{2}$&$22$\\ norman&$-36 \ln \left(4 x^{2}-x \right) x^{2}+9 x^{2}$&$22$\\ risch&$-36 \ln \left(4 x^{2}-x \right) x^{2}+9 x^{2}$&$22$\\ \hline \end{longtable}"," ",0,"-36*ln(4*x^2-x)*x^2+9*x^2","A"
2915,0,0,22,180.000000," ","int((-5*ln(x^2)*ln(exp(x^2)*ln(x^2))+(-10*x^2*ln(5*x)-5*x)*ln(x^2)-10*ln(5*x))/(x*ln(5*x)^2*ln(x^2)*ln(exp(x^2)*ln(x^2))^2+(2*x^2+4*x)*ln(5*x)*ln(x^2)*ln(exp(x^2)*ln(x^2))+(x^3+4*x^2+4*x)*ln(x^2)),x)","\[\int \frac{-5 \ln \left(x^{2}\right) \ln \left({\mathrm e}^{x^{2}} \ln \left(x^{2}\right)\right)+\left(-10 x^{2} \ln \left(5 x \right)-5 x \right) \ln \left(x^{2}\right)-10 \ln \left(5 x \right)}{x \ln \left(5 x \right)^{2} \ln \left(x^{2}\right) \ln \left({\mathrm e}^{x^{2}} \ln \left(x^{2}\right)\right)^{2}+\left(2 x^{2}+4 x \right) \ln \left(5 x \right) \ln \left(x^{2}\right) \ln \left({\mathrm e}^{x^{2}} \ln \left(x^{2}\right)\right)+\left(x^{3}+4 x^{2}+4 x \right) \ln \left(x^{2}\right)}\, dx\]"," ",0,"int((-5*ln(x^2)*ln(exp(x^2)*ln(x^2))+(-10*x^2*ln(5*x)-5*x)*ln(x^2)-10*ln(5*x))/(x*ln(5*x)^2*ln(x^2)*ln(exp(x^2)*ln(x^2))^2+(2*x^2+4*x)*ln(5*x)*ln(x^2)*ln(exp(x^2)*ln(x^2))+(x^3+4*x^2+4*x)*ln(x^2)),x)","F"
2916,1,19,25,0.523000," ","int(((-x^2-4*x-4)*exp(x)+(x^2+2*x-2)*exp(1))/(x^2+4*x+4)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{x \,{\mathrm e}^{1-x}}{2+x}$&$19$\\ norman&$\frac{\left(4 \,{\mathrm e}^{x}-x \,{\mathrm e}-{\mathrm e}^{x} x^{2}\right) {\mathrm e}^{-x}}{2+x}$&$28$\\ default&${\mathrm e} \left(-{\mathrm e}^{-x}-\frac{4 \,{\mathrm e}^{-x}}{2+x}+8 \,{\mathrm e}^{2} \expIntegralEi \left(1, 2+x \right)\right)-x -2 \,{\mathrm e} \left(-\frac{{\mathrm e}^{-x}}{2+x}+{\mathrm e}^{2} \expIntegralEi \left(1, 2+x \right)\right)+2 \,{\mathrm e} \left(\frac{2 \,{\mathrm e}^{-x}}{2+x}-3 \,{\mathrm e}^{2} \expIntegralEi \left(1, 2+x \right)\right)$&$84$\\ \hline \end{longtable}"," ",0,"-x-x/(2+x)*exp(1-x)","A"
2917,1,21,15,0.038000," ","int((2*x^2*exp(1/3*x^3)^2-10*x^2*exp(1/3*x^3)-1)/(exp(1/3*x^3)^2-10*exp(1/3*x^3)-x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{\frac{2 x^{3}}{3}}-10 \,{\mathrm e}^{\frac{x^{3}}{3}}-x +25\right)$&$21$\\ derivativedivides&$\ln \left({\mathrm e}^{\frac{2 x^{3}}{3}}-10 \,{\mathrm e}^{\frac{x^{3}}{3}}-x +25\right)$&$23$\\ default&$\ln \left({\mathrm e}^{\frac{2 x^{3}}{3}}-10 \,{\mathrm e}^{\frac{x^{3}}{3}}-x +25\right)$&$23$\\ norman&$\ln \left(-{\mathrm e}^{\frac{2 x^{3}}{3}}+x +10 \,{\mathrm e}^{\frac{x^{3}}{3}}-25\right)$&$23$\\ \hline \end{longtable}"," ",0,"ln(exp(2/3*x^3)-10*exp(1/3*x^3)-x+25)","A"
2918,1,72,33,0.094000," ","int(((-50*x^4-150*x+450)*ln(x)^3+(-150*x^4-150*x+450)*ln(x)^2+(-150*x^4-50*x^2+300*x-450)*ln(x)-50*x^4)/((25*x^5+24*x^3-150*x^2+225*x)*ln(x)^3+(75*x^5+22*x^3-150*x^2+225*x)*ln(x)^2+(75*x^5-3*x^3)*ln(x)+25*x^5-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)+1\right)-\ln \left(25 x^{4} \ln \left(x \right)^{2}+50 x^{4} \ln \left(x \right)+25 x^{4}+24 x^{2} \ln \left(x \right)^{2}-2 x^{2} \ln \left(x \right)-150 x \ln \left(x \right)^{2}-x^{2}+225 \ln \left(x \right)^{2}\right)$&$72$\\ risch&$2 \ln \left(x \right)-\ln \left(25 x^{4}+24 x^{2}-150 x +225\right)+2 \ln \left(\ln \left(x \right)+1\right)-\ln \left(\ln \left(x \right)^{2}+\frac{2 x^{2} \left(25 x^{2}-1\right) \ln \left(x \right)}{25 x^{4}+24 x^{2}-150 x +225}+\frac{x^{2} \left(25 x^{2}-1\right)}{25 x^{4}+24 x^{2}-150 x +225}\right)$&$98$\\ \hline \end{longtable}"," ",0,"2*ln(x)+2*ln(ln(x)+1)-ln(25*x^4*ln(x)^2+50*x^4*ln(x)+25*x^4+24*x^2*ln(x)^2-2*x^2*ln(x)-150*x*ln(x)^2-x^2+225*ln(x)^2)","B"
2919,1,37,19,0.031000," ","int(6*exp(x)^2+1/3*(10*x^2+56*x+117)*exp(x)+4/3*x^3+4*x^2+6*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \,{\mathrm e}^{2 x}+\frac{\left(10 x^{2}+36 x +81\right) {\mathrm e}^{x}}{3}+\frac{x^{4}}{3}+\frac{4 x^{3}}{3}+3 x^{2}$&$37$\\ default&$3 x^{2}+\frac{4 x^{3}}{3}+\frac{x^{4}}{3}+3 \,{\mathrm e}^{2 x}+12 \,{\mathrm e}^{x} x +27 \,{\mathrm e}^{x}+\frac{10 \,{\mathrm e}^{x} x^{2}}{3}$&$39$\\ norman&$3 x^{2}+\frac{4 x^{3}}{3}+\frac{x^{4}}{3}+3 \,{\mathrm e}^{2 x}+12 \,{\mathrm e}^{x} x +27 \,{\mathrm e}^{x}+\frac{10 \,{\mathrm e}^{x} x^{2}}{3}$&$39$\\ \hline \end{longtable}"," ",0,"3*exp(2*x)+1/3*(10*x^2+36*x+81)*exp(x)+1/3*x^4+4/3*x^3+3*x^2","A"
2920,1,19,25,0.493000," ","int((-12*ln(2)^2-x^2-3*x-15)/(4*x^2*ln(2)^2+x^3+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3}{x}-\ln \left(4 \ln \left(2\right)^{2}+x +5\right)$&$19$\\ norman&$\frac{3}{x}-\ln \left(4 \ln \left(2\right)^{2}+x +5\right)$&$19$\\ risch&$\frac{3}{x}-\ln \left(4 \ln \left(2\right)^{2}+x +5\right)$&$19$\\ meijerg&$-\frac{12 \ln \left(2\right)^{2} \left(-\frac{4 \ln \left(2\right)^{2}+5}{x}-\ln \left(x \right)+\ln \left(4 \ln \left(2\right)^{2}+5\right)+\ln \left(1+\frac{x}{4 \ln \left(2\right)^{2}+5}\right)\right)}{\left(4 \ln \left(2\right)^{2}+5\right)^{2}}-\ln \left(1+\frac{x}{4 \ln \left(2\right)^{2}+5}\right)-\frac{3 \left(\ln \left(x \right)-\ln \left(4 \ln \left(2\right)^{2}+5\right)-\ln \left(1+\frac{x}{4 \ln \left(2\right)^{2}+5}\right)\right)}{4 \ln \left(2\right)^{2}+5}-\frac{15 \left(-\frac{4 \ln \left(2\right)^{2}+5}{x}-\ln \left(x \right)+\ln \left(4 \ln \left(2\right)^{2}+5\right)+\ln \left(1+\frac{x}{4 \ln \left(2\right)^{2}+5}\right)\right)}{\left(4 \ln \left(2\right)^{2}+5\right)^{2}}$&$174$\\ \hline \end{longtable}"," ",0,"3/x-ln(4*ln(2)^2+x+5)","A"
2921,1,18,20,0.036000," ","int((2*x^2+2*x)*exp(2*x)-6*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$2 x -3 x^{2}+{\mathrm e}^{2 x} x^{2}$&$18$\\ default&$2 x -3 x^{2}+{\mathrm e}^{2 x} x^{2}$&$18$\\ norman&$2 x -3 x^{2}+{\mathrm e}^{2 x} x^{2}$&$18$\\ risch&$2 x -3 x^{2}+{\mathrm e}^{2 x} x^{2}$&$18$\\ \hline \end{longtable}"," ",0,"2*x-3*x^2+exp(2*x)*x^2","A"
2922,1,26,30,0.185000," ","int(((-20*x^2+80*x-60)*ln(x^2-4*x+3)+(-x^4+6*x^3-7*x^2)*ln(2)^2+20*x^3-160*x^2+380*x-240)/((x^4-4*x^3+3*x^2)*ln(2)^2*ln(x^2-4*x+3)+(-x^5+8*x^4-19*x^3+12*x^2)*ln(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{20}{\ln \left(2\right)^{2} x}+\ln \left(x -\ln \left(x^{2}-4 x +3\right)-4\right)$&$26$\\ norman&$\frac{20}{\ln \left(2\right)^{2} x}+\ln \left(x -\ln \left(x^{2}-4 x +3\right)-4\right)$&$26$\\ risch&$\frac{20}{\ln \left(2\right)^{2} x}+\ln \left(\ln \left(x^{2}-4 x +3\right)-x +4\right)$&$26$\\ \hline \end{longtable}"," ",0,"20/ln(2)^2/x+ln(x-ln(x^2-4*x+3)-4)","A"
2923,1,16,15,0.154000," ","int((5*ln(x)*ln(5*x^2/ln(x))-20*ln(x)+10)/ln(x)/ln(5*x^2/ln(x))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 x}{\ln \left(\frac{5 x^{2}}{\ln \left(x \right)}\right)^{2}}$&$16$\\ risch&$\frac{20 x}{\left(2 \ln \left(5\right)+4 \ln \left(x \right)-2 \ln \left(\ln \left(x \right)\right)-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right)+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right)^{3}\right)^{2}}$&$165$\\ \hline \end{longtable}"," ",0,"5*x/ln(5*x^2/ln(x))^2","A"
2924,1,61,29,0.051000," ","int((ln(x)^2+(1-x)*exp(-x+4)*ln(x)-exp(-x+4))*exp((x*ln(x)+x*exp(-x+4))/ln(x))/(ln(x)^2*exp((x*ln(x)+x*exp(-x+4))/ln(x))+(-exp(5)^4+4*exp(5)^2-4)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x \,{\mathrm e}^{-x +4}}{\ln \left(x \right)}-\frac{x \ln \left(x \right)+x \,{\mathrm e}^{-x +4}}{\ln \left(x \right)}+\ln \left({\mathrm e}^{\frac{x \left(\ln \left(x \right)+{\mathrm e}^{-x +4}\right)}{\ln \left(x \right)}}-{\mathrm e}^{20}+4 \,{\mathrm e}^{10}-4\right)$&$61$\\ \hline \end{longtable}"," ",0,"x+x*exp(-x+4)/ln(x)-(x*ln(x)+x*exp(-x+4))/ln(x)+ln(exp(x*(ln(x)+exp(-x+4))/ln(x))-exp(20)+4*exp(10)-4)","B"
2925,1,57,23,0.353000," ","int(((4*exp(x+1)+2*exp(x)^2+8*exp(x)+8)*exp((exp(x+1)+exp(x)*x+2*x)/(exp(x)+2))^2+((8*x-100)*exp(x+1)+(4*x-46)*exp(x)^2+(16*x-184)*exp(x)+16*x-184)*exp((exp(x+1)+exp(x)*x+2*x)/(exp(x)+2))+(8*x-100)*exp(x)^2+(32*x-400)*exp(x)+32*x-400)/(exp(x)^2+4*exp(x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2}+{\mathrm e}^{\frac{2 \,{\mathrm e}^{x +1}+2 \,{\mathrm e}^{x} x +4 x}{{\mathrm e}^{x}+2}}-100 x +\left(-50+4 x \right) {\mathrm e}^{\frac{{\mathrm e}^{x +1}+{\mathrm e}^{x} x +2 x}{{\mathrm e}^{x}+2}}$&$57$\\ norman&$\frac{{\mathrm e}^{x} {\mathrm e}^{\frac{2 \,{\mathrm e}^{x +1}+2 \,{\mathrm e}^{x} x +4 x}{{\mathrm e}^{x}+2}}-200 x +8 x^{2}+2 \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{x +1}+2 \,{\mathrm e}^{x} x +4 x}{{\mathrm e}^{x}+2}}+8 x \,{\mathrm e}^{\frac{{\mathrm e} \,{\mathrm e}^{x}+{\mathrm e}^{x} x +2 x}{{\mathrm e}^{x}+2}}-100 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{x} x^{2}-50 \,{\mathrm e}^{x} {\mathrm e}^{\frac{{\mathrm e} \,{\mathrm e}^{x}+{\mathrm e}^{x} x +2 x}{{\mathrm e}^{x}+2}}+4 \,{\mathrm e}^{x} x \,{\mathrm e}^{\frac{{\mathrm e} \,{\mathrm e}^{x}+{\mathrm e}^{x} x +2 x}{{\mathrm e}^{x}+2}}-100 \,{\mathrm e}^{\frac{{\mathrm e} \,{\mathrm e}^{x}+{\mathrm e}^{x} x +2 x}{{\mathrm e}^{x}+2}}}{{\mathrm e}^{x}+2}$&$178$\\ \hline \end{longtable}"," ",0,"4*x^2+exp(2*(exp(x+1)+exp(x)*x+2*x)/(exp(x)+2))-100*x+(-50+4*x)*exp((exp(x+1)+exp(x)*x+2*x)/(exp(x)+2))","B"
2926,1,15,15,0.455000," ","int((-5*x^2+10*x-2)/(5*x^2-10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\frac{\ln \left(x \right)}{5}-\frac{\ln \left(x -2\right)}{5}$&$15$\\ norman&$-x +\frac{\ln \left(x \right)}{5}-\frac{\ln \left(x -2\right)}{5}$&$15$\\ risch&$-x +\frac{\ln \left(x \right)}{5}-\frac{\ln \left(x -2\right)}{5}$&$15$\\ meijerg&$\frac{\ln \left(x \right)}{5}-\frac{\ln \left(2\right)}{5}+\frac{i \pi}{5}-\frac{\ln \left(1-\frac{x}{2}\right)}{5}-x$&$25$\\ \hline \end{longtable}"," ",0,"-x+1/5*ln(x)-1/5*ln(x-2)","A"
2927,1,15,12,0.042000," ","int((-2*x*ln(x)-15*x-5)/(8*x^3-40*x^2+50*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{\ln \left(x \right)}{2}+\frac{17}{4}}{2 x -5}$&$15$\\ risch&$\frac{\ln \left(x \right)}{4 x -10}+\frac{17}{4 \left(2 x -5\right)}$&$22$\\ default&$\frac{x \ln \left(x \right)}{10 x -25}-\frac{\ln \left(x \right)}{10}+\frac{17}{4 \left(2 x -5\right)}$&$27$\\ \hline \end{longtable}"," ",0,"(1/2*ln(x)+17/4)/(2*x-5)","A"
2928,1,33,21,0.051000," ","int(1/3*(((6*x^2-3*x)*exp(7/3*x)-112*x)*ln(x)^4+((12*x^2-12*x-36)*exp(7/3*x)+192)*ln(x)^3)/x/exp(7/3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{\frac{7 x}{3}} x^{2}-{\mathrm e}^{\frac{7 x}{3}} x -3 \,{\mathrm e}^{\frac{7 x}{3}}+16\right) {\mathrm e}^{-\frac{7 x}{3}} \ln \left(x \right)^{4}$&$33$\\ default&$x^{2} \ln \left(x \right)^{4}-x \ln \left(x \right)^{4}+16 \ln \left(x \right)^{4} {\mathrm e}^{-\frac{7 x}{3}}-3 \ln \left(x \right)^{4}$&$35$\\ \hline \end{longtable}"," ",0,"(exp(7/3*x)*x^2-exp(7/3*x)*x-3*exp(7/3*x)+16)*exp(-7/3*x)*ln(x)^4","A"
2929,1,11,14,0.016000," ","int(1/81*((1-x)*exp(x)-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{1}{81}-\frac{{\mathrm e}^{x}}{81}}{x}$&$11$\\ default&$-\frac{{\mathrm e}^{x}}{81 x}+\frac{1}{81 x}$&$14$\\ risch&$-\frac{{\mathrm e}^{x}}{81 x}+\frac{1}{81 x}$&$14$\\ \hline \end{longtable}"," ",0,"(1/81-1/81*exp(x))/x","A"
2930,1,54,33,0.112000," ","int((((x^2+8*x+16)*ln(3)+(2*x^2+16*x+32)*exp(4)+6*x^4+46*x^3+83*x^2-8*x+48)*exp(x)^2+((12*x+50)*ln(3)+(24*x+100)*exp(4)+64*x^3+230*x^2-84*x+158)*exp(x)+25*ln(3)+50*exp(4)+150*x^2-90*x+85)/((x^2+8*x+16)*exp(x)^2+(10*x+40)*exp(x)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{3}+x \ln \left(3\right)+2 x \,{\mathrm e}^{4}-x^{2}+3 x -\frac{2 \left(2 x^{2}+\ln \left(3\right)+2 \,{\mathrm e}^{4}-x +3\right)}{{\mathrm e}^{x} x +4 \,{\mathrm e}^{x}+5}$&$54$\\ norman&$\frac{\left(17+10 \,{\mathrm e}^{4}+5 \ln \left(3\right)\right) x +\left(-48-32 \,{\mathrm e}^{4}-16 \ln \left(3\right)\right) {\mathrm e}^{x}+\left(-1+2 \,{\mathrm e}^{4}+\ln \left(3\right)\right) x^{2} {\mathrm e}^{x}-9 x^{2}+10 x^{3}+7 \,{\mathrm e}^{x} x^{3}+2 \,{\mathrm e}^{x} x^{4}-66-22 \ln \left(3\right)-44 \,{\mathrm e}^{4}}{{\mathrm e}^{x} x +4 \,{\mathrm e}^{x}+5}$&$87$\\ \hline \end{longtable}"," ",0,"2*x^3+x*ln(3)+2*x*exp(4)-x^2+3*x-2*(2*x^2+ln(3)+2*exp(4)-x+3)/(exp(x)*x+4*exp(x)+5)","A"
2931,1,13,19,0.023000," ","int(-30*exp(5/3)-30*x+7/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(45 x +90 \,{\mathrm e}^{\frac{5}{3}}-7\right)}{3}$&$13$\\ default&$-30 x \,{\mathrm e}^{\frac{5}{3}}-15 x^{2}+\frac{7 x}{3}$&$15$\\ norman&$\left(-30 \,{\mathrm e}^{\frac{5}{3}}+\frac{7}{3}\right) x -15 x^{2}$&$15$\\ risch&$-30 x \,{\mathrm e}^{\frac{5}{3}}-15 x^{2}+\frac{7 x}{3}$&$15$\\ \hline \end{longtable}"," ",0,"-1/3*x*(45*x+90*exp(5/3)-7)","A"
2932,1,22,24,0.103000," ","int(((x^2+4)*ln(x)*ln(4*ln(x))-2*x^3*ln(x)+x^2-4)/((x^3-4*x)*ln(x)*ln(4*ln(x))+(-x^4+4*x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\ln \left(x^{2}-4\right)+\ln \left(\ln \left(4 \ln \left(x \right)\right)-x \right)$&$22$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(x^2-4)+ln(ln(4*ln(x))-x)","A"
2933,1,94,18,0.087000," ","int(((10*x*ln(x)+10*x^2)*ln(ln(x)^2+2*x*ln(x)+x^2)+(3*x^2+150*x)*ln(x)+3*x^3+160*x^2+10*x)/(10*ln(x)+10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(x +\ln \left(x \right)\right)+\frac{x^{3}}{10}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x +\ln \left(x \right)\right)\right)^{2} \mathrm{csgn}\left(i \left(x +\ln \left(x \right)\right)^{2}\right)}{4}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x +\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left(x +\ln \left(x \right)\right)^{2}\right)^{2}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x +\ln \left(x \right)\right)^{2}\right)^{3}}{4}+\frac{15 x^{2}}{2}$&$94$\\ \hline \end{longtable}"," ",0,"x^2*ln(x+ln(x))+1/10*x^3-1/4*I*Pi*x^2*csgn(I*(x+ln(x)))^2*csgn(I*(x+ln(x))^2)+1/2*I*Pi*x^2*csgn(I*(x+ln(x)))*csgn(I*(x+ln(x))^2)^2-1/4*I*Pi*x^2*csgn(I*(x+ln(x))^2)^3+15/2*x^2","C"
2934,1,20,22,0.133000," ","int(((x^3+14*x^2+65*x+100)*exp(2/x)^2-5*x^3)/(x^5+10*x^4+25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{5+x}-\frac{{\mathrm e}^{\frac{4}{x}}}{x}$&$20$\\ derivativedivides&$-\frac{2}{\frac{10}{x}+2}-\frac{{\mathrm e}^{\frac{4}{x}}}{x}$&$26$\\ default&$-\frac{2}{\frac{10}{x}+2}-\frac{{\mathrm e}^{\frac{4}{x}}}{x}$&$26$\\ norman&$\frac{5 x^{2}-x^{2} {\mathrm e}^{\frac{4}{x}}-5 x \,{\mathrm e}^{\frac{4}{x}}}{x^{2} \left(5+x \right)}$&$40$\\ \hline \end{longtable}"," ",0,"5/(5+x)-exp(4/x)/x","A"
2935,1,340,26,0.160000," ","int(((x*exp(1-x)^2+2*x*ln(2)-7*x)*exp(x)*ln(x)*ln(x*ln(x))+(-exp(1-x)^2+6*exp(1-x)+2*ln(2)-7)*exp(x)*ln(x)+(-exp(1-x)^2+6*exp(1-x)+2*ln(2)-7)*exp(x))/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\left(-2 \ln \left(2\right) {\mathrm e}^{2 x}+{\mathrm e}^{2}+7 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{-x} \ln \left(\ln \left(x \right)\right)+\frac{\left(-7 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} {\mathrm e}^{2 x}-i \pi  \,{\mathrm e}^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}+2 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} {\mathrm e}^{2 x}+i \pi  \,{\mathrm e}^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)-i \pi  \,{\mathrm e}^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}+7 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right) {\mathrm e}^{2 x}-2 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3} {\mathrm e}^{2 x}+2 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} {\mathrm e}^{2 x}+7 i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3} {\mathrm e}^{2 x}+i \pi  \,{\mathrm e}^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}-2 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right) {\mathrm e}^{2 x}-7 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} {\mathrm e}^{2 x}+4 \ln \left(2\right) {\mathrm e}^{2 x} \ln \left(x \right)+12 \ln \left(x \right) {\mathrm e}^{x +1}-2 \,{\mathrm e}^{2} \ln \left(x \right)+12 \ln \left(\ln \left(x \right)\right) {\mathrm e}^{x +1}-14 \,{\mathrm e}^{2 x} \ln \left(x \right)\right) {\mathrm e}^{-x}}{2}$&$340$\\ \hline \end{longtable}"," ",0,"-(-2*ln(2)*exp(2*x)+exp(2)+7*exp(2*x))*exp(-x)*ln(ln(x))+1/2*(-7*I*Pi*csgn(I*x)*csgn(I*x*ln(x))^2*exp(2*x)-I*Pi*exp(2)*csgn(I*ln(x))*csgn(I*x*ln(x))^2+2*I*Pi*ln(2)*csgn(I*ln(x))*csgn(I*x*ln(x))^2*exp(2*x)+I*Pi*exp(2)*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))-I*Pi*exp(2)*csgn(I*x)*csgn(I*x*ln(x))^2+7*I*Pi*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))*exp(2*x)-2*I*Pi*ln(2)*csgn(I*x*ln(x))^3*exp(2*x)+2*I*Pi*ln(2)*csgn(I*x)*csgn(I*x*ln(x))^2*exp(2*x)+7*I*Pi*csgn(I*x*ln(x))^3*exp(2*x)+I*Pi*exp(2)*csgn(I*x*ln(x))^3-2*I*Pi*ln(2)*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))*exp(2*x)-7*I*Pi*csgn(I*ln(x))*csgn(I*x*ln(x))^2*exp(2*x)+4*ln(2)*exp(2*x)*ln(x)+12*ln(x)*exp(x+1)-2*exp(2)*ln(x)+12*ln(ln(x))*exp(x+1)-14*exp(2*x)*ln(x))*exp(-x)","C"
2936,1,88,32,0.077000," ","int((x^7*ln(x^2)^2+((8*x^4-18*x^3)*ln(3)^2-2*x^7+18*x^5)*ln(x^2)+(7*x-18)*ln(3)^4+(4*x^4-36*x^3+72*x^2)*ln(3)^2-3*x^7+12*x^6+9*x^5-54*x^4)/(x^9-6*x^8+9*x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x^{2}\right)^{2}}{x -3}-\frac{2 \left(x^{3}+\ln \left(3\right)^{2}-3 x^{2}\right) \ln \left(x^{2}\right)}{\left(x -3\right) x^{3}}-\frac{x^{6}+2 x^{3} \ln \left(3\right)^{2}-6 x^{5}+\ln \left(3\right)^{4}-6 x^{2} \ln \left(3\right)^{2}+9 x^{4}}{\left(x -3\right) x^{6}}$&$88$\\ \hline \end{longtable}"," ",0,"-1/(x-3)*ln(x^2)^2-2*(x^3+ln(3)^2-3*x^2)/(x-3)/x^3*ln(x^2)-(x^6+2*x^3*ln(3)^2-6*x^5+ln(3)^4-6*x^2*ln(3)^2+9*x^4)/(x-3)/x^6","B"
2937,1,83,33,1.339000," ","int((((-2*x^3+4*x^2-2*x)*ln(x^2-x)-2*x^4+4*x^3-2*x^2)*ln(4*exp(exp(x)))^2+(-x^2-x+1)*ln(4*exp(exp(x)))+((x^2-x)*exp(x)*ln(x^2-x)+(x^3-x^2)*exp(x))*ln(ln(x^2-x)+x))/((x^2-x)*ln(x^2-x)+x^3-x^2)/ln(4*exp(exp(x)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+2 x -\frac{2 i \ln \left(\ln \left(x -1\right)+\ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x -1\right)\right) \left(-\mathrm{csgn}\left(i x \left(x -1\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x -1\right)\right)+\mathrm{csgn}\left(i \left(x -1\right)\right)\right)}{2}+x \right)}{4 i \ln \left(2\right)+2 i \ln \left({\mathrm e}^{{\mathrm e}^{x}}\right)}$&$83$\\ \hline \end{longtable}"," ",0,"-x^2+2*x-2*I*ln(ln(x-1)+ln(x)-1/2*I*Pi*csgn(I*x*(x-1))*(-csgn(I*x*(x-1))+csgn(I*x))*(-csgn(I*x*(x-1))+csgn(I*(x-1)))+x)/(4*I*ln(2)+2*I*ln(exp(exp(x))))","C"
2938,1,20,19,0.084000," ","int((-12*x^3*ln(ln(5))^2+(-12*x^4-12*x^3-8)*ln(ln(5))-3*x^5-6*x^4-3*x^3-6*x-4)/(12*x^3*ln(ln(5))^2+(12*x^4+12*x^3)*ln(ln(5))+3*x^5+6*x^4+3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{2}{3 x^{2} \left(1+2 \ln \left(\ln \left(5\right)\right)+x \right)}$&$20$\\ gosper&$\frac{12 x^{2} \ln \left(\ln \left(5\right)\right)^{2}-3 x^{4}+12 \ln \left(\ln \left(5\right)\right) x^{2}+3 x^{2}+2}{3 x^{2} \left(1+2 \ln \left(\ln \left(5\right)\right)+x \right)}$&$46$\\ default&$-x -\frac{2}{3 \left(1+2 \ln \left(\ln \left(5\right)\right)\right)^{2} x}+\frac{2}{3 \left(1+2 \ln \left(\ln \left(5\right)\right)\right) x^{2}}+\frac{2}{3 \left(1+2 \ln \left(\ln \left(5\right)\right)\right)^{2} \left(1+2 \ln \left(\ln \left(5\right)\right)+x \right)}$&$54$\\ \hline \end{longtable}"," ",0,"-x+2/3/x^2/(1+2*ln(ln(5))+x)","A"
2939,1,50,28,119.467000," ","int(((32*x^6*ln(4/x)^3+2400*x^5*ln(4/x)^2+60000*x^4*ln(4/x)+500000*x^3)*ln(x)^3+(12*x^5*ln(4/x)^2+(4*x^5+700*x^4)*ln(4/x)+100*x^4+10000*x^3)*ln(x)^2+(-4*x^5*ln(4/x)^2-199*x^4*ln(4/x)+x^4-2450*x^3)*ln(x)-x^4*ln(4/x)-25*x^3)/(2*x^3*ln(4/x)^3+150*x^2*ln(4/x)^2+3750*x*ln(4/x)+31250)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{4}-\frac{x^{4} \left(-1-16 x \ln \left(2\right) \ln \left(x \right)+8 x \ln \left(x \right)^{2}-200 \ln \left(x \right)\right)}{\ln \left(x \right)^{2} \left(-50-4 x \ln \left(2\right)+2 x \ln \left(x \right)\right)^{2}}$&$50$\\ \hline \end{longtable}"," ",0,"4*x^4-x^4*(-1-16*x*ln(2)*ln(x)+8*x*ln(x)^2-200*ln(x))/ln(x)^2/(-50-4*x*ln(2)+2*x*ln(x))^2","A"
2940,1,26,25,0.067000," ","int(((-x*ln(x)-x*exp(x)^2)*ln(ln(x)+exp(x)^2)+(-x^4+3*x^3+x^2-x)*ln(x)+(-x^4+3*x^3+x^2+x)*exp(x)^2+1)/(((x*ln(x)+x*exp(x)^2)*ln(ln(x)+exp(x)^2)+(x^4-x^2)*ln(x)+(x^4-x^2)*exp(x)^2)*ln(1/2*ln(ln(x)+exp(x)^2)+1/2*x^3-1/2*x)+(-x^2*ln(x)-exp(x)^2*x^2)*ln(ln(x)+exp(x)^2)+(-x^5+x^3)*ln(x)+(-x^5+x^3)*exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\frac{\ln \left(\ln \left(x \right)+{\mathrm e}^{2 x}\right)}{2}+\frac{x^{3}}{2}-\frac{x}{2}\right)-x \right)$&$26$\\ \hline \end{longtable}"," ",0,"ln(ln(1/2*ln(ln(x)+exp(2*x))+1/2*x^3-1/2*x)-x)","A"
2941,1,7,8,0.014000," ","int(exp(20)*ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{20} \ln \left(3\right) x$&$7$\\ norman&${\mathrm e}^{20} \ln \left(3\right) x$&$7$\\ risch&${\mathrm e}^{20} \ln \left(3\right) x$&$7$\\ \hline \end{longtable}"," ",0,"exp(20)*ln(3)*x","A"
2942,1,24,24,0.021000," ","int((-20*exp(x)-5*x^10+40*x^9-160*x^6+640*x^5-1280*x^2)/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{20}{x}+\left(5 x^{8}+160 x^{4}+1280\right) {\mathrm e}^{-x}$&$24$\\ norman&$\frac{\left(1280 x +160 x^{5}+5 x^{9}+20 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{x}$&$27$\\ default&$\frac{20}{x}+1280 \,{\mathrm e}^{-x}+160 x^{4} {\mathrm e}^{-x}+5 \,{\mathrm e}^{-x} x^{8}$&$31$\\ \hline \end{longtable}"," ",0,"20/x+(5*x^8+160*x^4+1280)*exp(-x)","A"
2943,1,30,22,0.067000," ","int(((3*x^2+15)*ln(5)+25*x^2)/((3*x^3-15*x^2-15*x)*ln(5)+25*x^3-100*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\ln \left(\left(-3 \ln \left(5\right)-25\right) x^{2}+\left(15 \ln \left(5\right)+100\right) x +15 \ln \left(5\right)\right)$&$30$\\ default&$-\ln \left(x \right)+\ln \left(3 x^{2} \ln \left(5\right)-15 x \ln \left(5\right)+25 x^{2}-15 \ln \left(5\right)-100 x \right)$&$32$\\ norman&$-\ln \left(x \right)+\ln \left(3 x^{2} \ln \left(5\right)-15 x \ln \left(5\right)+25 x^{2}-15 \ln \left(5\right)-100 x \right)$&$32$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln((-3*ln(5)-25)*x^2+(15*ln(5)+100)*x+15*ln(5))","A"
2944,1,23,16,0.031000," ","int(1/125*(1250*exp(x)^2*x^3+(-1250*x^4-1250*x^3)*exp(x)+1250*x^4-256)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x^{2}+\frac{128}{125 x^{2}}+5 \,{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x} x$&$23$\\ risch&$5 x^{2}+\frac{128}{125 x^{2}}+5 \,{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x} x$&$23$\\ norman&$\frac{\frac{128}{125}+5 x^{4}-10 \,{\mathrm e}^{x} x^{3}+5 \,{\mathrm e}^{2 x} x^{2}}{x^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"5*x^2+128/125/x^2+5*exp(x)^2-10*exp(x)*x","A"
2945,1,42,24,0.225000," ","int(((7*x^4+20*x+75)*exp(((-2*x^4-10*x^3)*exp(1)+5*x^4-10*x^3-25)/(5*x^4+25*x^3))+x^6+11*x^5+35*x^4+25*x^3)/(x^6+10*x^5+25*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x \right)+{\mathrm e}^{-\frac{2 x^{4} {\mathrm e}+10 x^{3} {\mathrm e}-5 x^{4}+10 x^{3}+25}{5 x^{3} \left(5+x \right)}}$&$42$\\ norman&$\frac{x^{5}+x^{4} {\mathrm e}^{\frac{\left(-2 x^{4}-10 x^{3}\right) {\mathrm e}+5 x^{4}-10 x^{3}-25}{5 x^{4}+25 x^{3}}}-25 x^{3}+5 x^{3} {\mathrm e}^{\frac{\left(-2 x^{4}-10 x^{3}\right) {\mathrm e}+5 x^{4}-10 x^{3}-25}{5 x^{4}+25 x^{3}}}}{x^{3} \left(5+x \right)}+\ln \left(x \right)$&$113$\\ \hline \end{longtable}"," ",0,"x+ln(x)+exp(-1/5*(2*x^4*exp(1)+10*x^3*exp(1)-5*x^4+10*x^3+25)/x^3/(5+x))","A"
2946,1,57,30,0.107000," ","int(((-200*x*ln(x)+2*x^2-200*x)*exp(exp(x)/x)^2+((-500*x+500)*exp(x)*ln(x)^2+((-1000*x+1000)*exp(x)+1000*x)*ln(x)+(-500*x+500)*exp(x)+1000*x)*exp(exp(x)/x)+(1250*x-1250)*exp(x)*ln(x)^2+((2500*x-2500)*exp(x)-1250*x)*ln(x)+(1250*x-1250)*exp(x)-1250*x)/x^2/exp(exp(x)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-100 \ln \left(x \right)^{2}+2 x -200 \ln \left(x \right)+\left(500 \ln \left(x \right)^{2}+1000 \ln \left(x \right)+500\right) {\mathrm e}^{-\frac{{\mathrm e}^{x}}{x}}+\left(-625 \ln \left(x \right)^{2}-1250 \ln \left(x \right)-625\right) {\mathrm e}^{-\frac{2 \,{\mathrm e}^{x}}{x}}$&$57$\\ \hline \end{longtable}"," ",0,"-100*ln(x)^2+2*x-200*ln(x)+(500*ln(x)^2+1000*ln(x)+500)*exp(-exp(x)/x)+(-625*ln(x)^2-1250*ln(x)-625)*exp(-2*exp(x)/x)","A"
2947,1,22,23,0.627000," ","int((-4*x*ln(x)-ln(5)^2+4*ln(3)-4*x+8)/(16*x*ln(5)^6+(-192*x*ln(3)+192*x^2-384*x)*ln(5)^4+(768*x*ln(3)^2+(-1536*x^2+3072*x)*ln(3)+768*x^3-3072*x^2+3072*x)*ln(5)^2-1024*x*ln(3)^3+(3072*x^2-6144*x)*ln(3)^2+(-3072*x^3+12288*x^2-12288*x)*ln(3)+1024*x^4-6144*x^3+12288*x^2-8192*x)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1}{32 \left(4 x -8-4 \ln \left(3\right)+\ln \left(5\right)^{2}\right)^{2} \ln \left(x \right)^{2}}$&$22$\\ risch&$\frac{1}{32 \left(\ln \left(5\right)^{4}-8 \ln \left(3\right) \ln \left(5\right)^{2}+8 x \ln \left(5\right)^{2}-16 \ln \left(5\right)^{2}+16 \ln \left(3\right)^{2}-32 x \ln \left(3\right)+16 x^{2}+64 \ln \left(3\right)-64 x +64\right) \ln \left(x \right)^{2}}$&$59$\\ \hline \end{longtable}"," ",0,"1/32/(4*x-8-4*ln(3)+ln(5)^2)^2/ln(x)^2","A"
2948,1,41,25,0.092000," ","int(((x^4+4*x^3+5*x^2-4*x-4)*exp((2-x)/(x^2+2*x))+2*x^6+12*x^5+24*x^4+16*x^3)/((x^4+4*x^3+4*x^2)*exp((2-x)/(x^2+2*x))+2*x^6+8*x^5+8*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}-4 x}{x \left(2+x \right)}+\ln \left(2 x^{2}+{\mathrm e}^{\frac{2-x}{x^{2}+2 x}}\right)$&$41$\\ risch&$x +\frac{2-x}{\left(2+x \right) x}-\frac{2-x}{x^{2}+2 x}+\ln \left(2 x^{2}+{\mathrm e}^{-\frac{x -2}{x \left(2+x \right)}}\right)$&$54$\\ \hline \end{longtable}"," ",0,"(x^3-4*x)/x/(2+x)+ln(2*x^2+exp((2-x)/(x^2+2*x)))","A"
2949,1,58,21,0.032000," ","int(1/25*(256*x^3-960*x^2+800*x)*exp(5)^2+1/25*(1920*x^3-7536*x^2+7520*x-1200)*exp(5)+144*x^3-2952/5*x^2+17048/25*x-984/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-48 \,{\mathrm e}^{5}-\frac{984}{5}\right) x +\left(16 \,{\mathrm e}^{10}+\frac{752 \,{\mathrm e}^{5}}{5}+\frac{8524}{25}\right) x^{2}+\left(-\frac{64 \,{\mathrm e}^{10}}{5}-\frac{2512 \,{\mathrm e}^{5}}{25}-\frac{984}{5}\right) x^{3}+\left(\frac{64 \,{\mathrm e}^{10}}{25}+\frac{96 \,{\mathrm e}^{5}}{5}+36\right) x^{4}$&$58$\\ default&$\frac{{\mathrm e}^{10} \left(64 x^{4}-320 x^{3}+400 x^{2}\right)}{25}+\frac{{\mathrm e}^{5} \left(480 x^{4}-2512 x^{3}+3760 x^{2}-1200 x \right)}{25}+36 x^{4}-\frac{984 x^{3}}{5}+\frac{8524 x^{2}}{25}-\frac{984 x}{5}$&$65$\\ gosper&$\frac{4 x \left(16 x^{3} {\mathrm e}^{10}-80 x^{2} {\mathrm e}^{10}+120 x^{3} {\mathrm e}^{5}+100 x \,{\mathrm e}^{10}-628 x^{2} {\mathrm e}^{5}+225 x^{3}+940 x \,{\mathrm e}^{5}-1230 x^{2}-300 \,{\mathrm e}^{5}+2131 x -1230\right)}{25}$&$67$\\ risch&$\frac{64 x^{4} {\mathrm e}^{10}}{25}-\frac{64 x^{3} {\mathrm e}^{10}}{5}+16 x^{2} {\mathrm e}^{10}+\frac{96 x^{4} {\mathrm e}^{5}}{5}-\frac{2512 x^{3} {\mathrm e}^{5}}{25}+\frac{752 x^{2} {\mathrm e}^{5}}{5}-48 x \,{\mathrm e}^{5}+36 x^{4}-\frac{984 x^{3}}{5}+\frac{8524 x^{2}}{25}-\frac{984 x}{5}$&$67$\\ \hline \end{longtable}"," ",0,"(-48*exp(5)-984/5)*x+(16*exp(5)^2+752/5*exp(5)+8524/25)*x^2+(-64/5*exp(5)^2-2512/25*exp(5)-984/5)*x^3+(64/25*exp(5)^2+96/5*exp(5)+36)*x^4","B"
2950,1,10,10,0.035000," ","int((2*x-16)*exp(x^2-16*x+65),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{x^{2}-16 x +65}$&$10$\\ derivativedivides&${\mathrm e}^{x^{2}-16 x +65}$&$10$\\ default&${\mathrm e}^{x^{2}-16 x +65}$&$10$\\ norman&${\mathrm e}^{x^{2}-16 x +65}$&$10$\\ risch&${\mathrm e}^{x^{2}-16 x +65}$&$10$\\ \hline \end{longtable}"," ",0,"exp(x^2-16*x+65)","A"
2951,1,28,32,0.532000," ","int(((6*x^3+60*x^2+150*x)*ln(x)^2+(6*x^3+60*x^2+150*x)*ln(x)+30*x^4+294*x^3+690*x^2-150*x+75)/(5*x^2+50*x+125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 x^{2} \ln \left(x \right)^{2}}{5}+2 x^{3}-\frac{3 x^{2}}{5}-\frac{15}{5+x}$&$28$\\ risch&$\frac{3 x^{2} \ln \left(x \right)^{2}}{5}+\frac{10 x^{4}+47 x^{3}-15 x^{2}-75}{25+5 x}$&$35$\\ norman&$\frac{-3 x^{2}+\frac{47 x^{3}}{5}+2 x^{4}+3 x^{2} \ln \left(x \right)^{2}+\frac{3 x^{3} \ln \left(x \right)^{2}}{5}-15}{5+x}$&$42$\\ \hline \end{longtable}"," ",0,"3/5*x^2*ln(x)^2+2*x^3-3/5*x^2-15/(5+x)","A"
2952,1,8,15,0.467000," ","int(-exp(ln(1/16*(-80*x+1)/x)+3)/(80*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{{\mathrm e}^{3}}{16 x}$&$8$\\ norman&$-\frac{{\mathrm e}^{3}}{16 x}$&$8$\\ risch&$-\frac{{\mathrm e}^{3}}{16 x}$&$8$\\ gosper&$\frac{{\mathrm e}^{\ln \left(-\frac{80 x -1}{16 x}\right)+3}}{80 x -1}$&$23$\\ \hline \end{longtable}"," ",0,"-1/16*exp(3)/x","A"
2953,1,40,21,0.079000," ","int(((2*exp(x)^2*ln(x)-4*exp(x)^2)*exp(4/exp(x)^2)+x*exp(16)*exp(x)^2+8*x^2*exp(16))/((x*exp(x)^2*ln(x)^2-4*x*exp(x)^2*ln(x)+4*x*exp(x)^2)*exp(4/exp(x)^2)+x^2*exp(16)*exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(\ln \left(x \right)-2\right)-4 \,{\mathrm e}^{-2 x}+\ln \left({\mathrm e}^{4 \,{\mathrm e}^{-2 x}}+\frac{x \,{\mathrm e}^{16}}{\ln \left(x \right)^{2}-4 \ln \left(x \right)+4}\right)$&$40$\\ \hline \end{longtable}"," ",0,"2*ln(ln(x)-2)-4*exp(-2*x)+ln(exp(4*exp(-2*x))+x*exp(16)/(ln(x)^2-4*ln(x)+4))","A"
2954,1,52,31,0.083000," ","int(((((x+1)*exp(5)+x^2+2*x)*exp(x)+(2*x+exp(5))*ln(5)+(4*x+5)*exp(5)+6*x^2+10*x)*ln(x)+((-x^2-1)*exp(5)-x^3-x^2-x)*exp(x)+(-exp(5)-x^2-x)*ln(5)+(-2*x^2-2*x-5)*exp(5)-4*x^3-7*x^2-5*x)/((x^2*exp(5)^2+2*x^3*exp(5)+x^4)*ln(5)*exp(x)^2+((2*x^2*exp(5)^2+4*x^3*exp(5)+2*x^4)*ln(5)^2+((4*x^3+10*x^2)*exp(5)^2+(8*x^4+20*x^3)*exp(5)+4*x^5+10*x^4)*ln(5))*exp(x)+(x^2*exp(5)^2+2*x^3*exp(5)+x^4)*ln(5)^3+((4*x^3+10*x^2)*exp(5)^2+(8*x^4+20*x^3)*exp(5)+4*x^5+10*x^4)*ln(5)^2+((4*x^4+20*x^3+25*x^2)*exp(5)^2+(8*x^5+40*x^4+50*x^3)*exp(5)+4*x^6+20*x^5+25*x^4)*ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right)}{x \ln \left(5\right) \left({\mathrm e}^{5}+x \right) \left(2 x +{\mathrm e}^{x}+\ln \left(5\right)+5\right)}+\frac{1}{\ln \left(5\right) \left({\mathrm e}^{5}+x \right) \left(2 x +{\mathrm e}^{x}+\ln \left(5\right)+5\right)}$&$52$\\ \hline \end{longtable}"," ",0,"-1/x/ln(5)/(exp(5)+x)/(2*x+exp(x)+ln(5)+5)*ln(x)+1/ln(5)/(exp(5)+x)/(2*x+exp(x)+ln(5)+5)","A"
2955,1,295,27,0.097000," ","int(((4*x^9+4*x^8+72*x^6)*ln(x)^3+(12*x^10-12*x^9-24*x^8+108*x^7-540*x^6-1944*x^4)*ln(x)^2+((4*x^9+4*x^8+72*x^6)*exp(2)+12*x^11-36*x^10+48*x^8-648*x^7+1296*x^6-2916*x^5+8748*x^4+17496*x^2)*ln(x)+(4*x^10-4*x^9-8*x^8+36*x^7-180*x^6-648*x^4)*exp(2)+4*x^12-20*x^11+24*x^10-20*x^9-140*x^8+864*x^7-1980*x^6+6804*x^5-9720*x^4+14580*x^3-37908*x^2-52488)*exp((x^8*ln(x)^4+(4*x^9-8*x^8-36*x^6)*ln(x)^3+(2*x^8*exp(2)+6*x^10-24*x^9+24*x^8-108*x^7+216*x^6+486*x^4)*ln(x)^2+((4*x^9-8*x^8-36*x^6)*exp(2)+4*x^11-24*x^10+48*x^9-140*x^8+432*x^7-432*x^6+972*x^5-1944*x^4-2916*x^2)*ln(x)+x^8*exp(5)+x^8*exp(2)^2+(2*x^10-8*x^9+8*x^8-36*x^7+72*x^6+162*x^4)*exp(2)+x^12-8*x^11+24*x^10-68*x^9+232*x^8-432*x^7+774*x^6-1944*x^5+1944*x^4-2916*x^3+5832*x^2+6561)/x^8)/x^9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{-24 x^{2}} x^{4 \,{\mathrm e}^{2} x} x^{\frac{432}{x}} x^{4 x^{3}} x^{-8 \,{\mathrm e}^{2}} x^{-\frac{432}{x^{2}}} x^{48 x} x^{\frac{972}{x^{3}}} x^{-\frac{1944}{x^{4}}} x^{-\frac{2916}{x^{6}}} x^{-\frac{36 \,{\mathrm e}^{2}}{x^{2}}} {\mathrm e}^{\frac{6561-8 x^{8} \ln \left(x \right)^{3}-24 x^{9} \ln \left(x \right)^{2}-108 x^{7} \ln \left(x \right)^{2}+4 x^{9} \ln \left(x \right)^{3}+6 x^{10} \ln \left(x \right)^{2}-8 x^{11}+x^{12}-432 x^{7}+232 x^{8}+24 x^{10}-68 x^{9}+774 x^{6}-1944 x^{5}+1944 x^{4}-2916 x^{3}+5832 x^{2}+72 x^{6} {\mathrm e}^{2}+24 x^{8} \ln \left(x \right)^{2}+216 x^{6} \ln \left(x \right)^{2}+8 x^{8} {\mathrm e}^{2}-36 x^{6} \ln \left(x \right)^{3}+x^{8} {\mathrm e}^{4}+486 x^{4} \ln \left(x \right)^{2}+x^{8} {\mathrm e}^{5}+162 x^{4} {\mathrm e}^{2}+x^{8} \ln \left(x \right)^{4}+2 \,{\mathrm e}^{2} x^{10}-8 \,{\mathrm e}^{2} x^{9}-36 x^{7} {\mathrm e}^{2}+2 \,{\mathrm e}^{2} \ln \left(x \right)^{2} x^{8}}{x^{8}}}}{x^{140}}$&$295$\\ \hline \end{longtable}"," ",0,"x^(-24*x^2)*x^(4*exp(2)*x)*x^(432/x)/x^140*x^(4*x^3)*x^(-8*exp(2))*x^(-432/x^2)*x^(48*x)*x^(972/x^3)*x^(-1944/x^4)*x^(-2916/x^6)*x^(-36*exp(2)/x^2)*exp((6561-8*x^8*ln(x)^3-24*x^9*ln(x)^2-108*x^7*ln(x)^2+4*x^9*ln(x)^3+6*x^10*ln(x)^2-8*x^11+x^12-432*x^7+232*x^8+24*x^10-68*x^9+774*x^6-1944*x^5+1944*x^4-2916*x^3+5832*x^2+72*x^6*exp(2)+24*x^8*ln(x)^2+216*x^6*ln(x)^2+8*x^8*exp(2)-36*x^6*ln(x)^3+x^8*exp(4)+486*x^4*ln(x)^2+x^8*exp(5)+162*x^4*exp(2)+x^8*ln(x)^4+2*exp(2)*x^10-8*exp(2)*x^9-36*x^7*exp(2)+2*exp(2)*ln(x)^2*x^8)/x^8)","B"
2956,1,13,15,0.032000," ","int(1/2*(-3*x*exp(ln(3)-x)*ln(4/21*x)-3*exp(ln(3)-x))/x/ln(4/21*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 \,{\mathrm e}^{-x}}{2 \ln \left(\frac{4 x}{21}\right)}$&$13$\\ norman&$\frac{3 \,{\mathrm e}^{\ln \left(3\right)-x}}{2 \ln \left(\frac{4 x}{21}\right)}$&$16$\\ \hline \end{longtable}"," ",0,"9/2*exp(-x)/ln(4/21*x)","A"
2957,1,27,22,0.043000," ","int(exp(2*ln(3)+x)*ln(2*ln(2))+1/5*(24*exp(x)+12*x+1)*exp(2*ln(3)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-\frac{99}{5}+9 \ln \left(2\right)+9 \ln \left(\ln \left(2\right)\right)\right) {\mathrm e}^{x}+\frac{108 \,{\mathrm e}^{2 x}}{5}+\frac{108 \,{\mathrm e}^{x} x}{5}$&$27$\\ default&${\mathrm e}^{2 \ln \left(3\right)+x} \ln \left(2 \ln \left(2\right)\right)+\frac{108 \,{\mathrm e}^{2 x}}{5}+\frac{108 \,{\mathrm e}^{x} x}{5}-\frac{99 \,{\mathrm e}^{x}}{5}$&$30$\\ risch&$9 \,{\mathrm e}^{x} \ln \left(2\right)+9 \,{\mathrm e}^{x} \ln \left(\ln \left(2\right)\right)+\frac{108 \,{\mathrm e}^{2 x}}{5}+\frac{9 \left(-11+12 x \right) {\mathrm e}^{x}}{5}$&$30$\\ meijerg&$-\frac{54 \left(-2 x +2\right) {\mathrm e}^{x}}{5}-\left(9 \ln \left(2 \ln \left(2\right)\right)+\frac{9}{5}\right) \left(1-{\mathrm e}^{x}\right)+\frac{108 \,{\mathrm e}^{2 x}}{5}$&$34$\\ \hline \end{longtable}"," ",0,"(-99/5+9*ln(2)+9*ln(ln(2)))*exp(x)+108/5*exp(x)^2+108/5*exp(x)*x","A"
2958,1,15,14,0.019000," ","int(1/6*(-4*x-4)*exp(x)+1/2*x^2-2/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{2 x}{3}+\frac{x^{3}}{6}-\frac{2 \,{\mathrm e}^{x} x}{3}$&$15$\\ norman&$-\frac{2 x}{3}+\frac{x^{3}}{6}-\frac{2 \,{\mathrm e}^{x} x}{3}$&$15$\\ risch&$-\frac{2 x}{3}+\frac{x^{3}}{6}-\frac{2 \,{\mathrm e}^{x} x}{3}$&$15$\\ \hline \end{longtable}"," ",0,"-2/3*x+1/6*x^3-2/3*exp(x)*x","A"
2959,1,12,9,0.018000," ","int(1/4*(-4*x*ln(x)+3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x \ln \left(x \right)+x +\frac{3 \ln \left(x \right)}{4}$&$12$\\ norman&$-x \ln \left(x \right)+x +\frac{3 \ln \left(x \right)}{4}$&$12$\\ risch&$-x \ln \left(x \right)+x +\frac{3 \ln \left(x \right)}{4}$&$12$\\ \hline \end{longtable}"," ",0,"-x*ln(x)+x+3/4*ln(x)","A"
2960,1,18,19,0.484000," ","int(-162*exp(18/(9*x+95))*exp(3*exp(3))*exp(exp(18/(9*x+95))-1)/(81*x^2+1710*x+9025),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{3 \,{\mathrm e}^{3}+{\mathrm e}^{\frac{18}{9 x +95}}-1}$&$18$\\ norman&$\frac{95 \,{\mathrm e}^{3 \,{\mathrm e}^{3}} {\mathrm e}^{{\mathrm e}^{\frac{18}{9 x +95}}-1}+9 \,{\mathrm e}^{3 \,{\mathrm e}^{3}} x \,{\mathrm e}^{{\mathrm e}^{\frac{18}{9 x +95}}-1}}{9 x +95}$&$51$\\ \hline \end{longtable}"," ",0,"exp(3*exp(3)+exp(18/(9*x+95))-1)","A"
2961,1,16,21,0.030000," ","int(1/4*((-ln(5)+5)*ln(4*x^2)+2*ln(5)-10)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(\ln \left(5\right)-5\right) \ln \left(4 x^{2}\right)}{4 x}$&$16$\\ norman&$\frac{\left(\frac{\ln \left(5\right)}{4}-\frac{5}{4}\right) \ln \left(4 x^{2}\right)}{x}$&$17$\\ default&$-\frac{5 \ln \left(2\right)}{2 x}+\frac{\ln \left(2\right) \ln \left(5\right)}{2 x}+\frac{\ln \left(5\right) \ln \left(x^{2}\right)}{4 x}-\frac{5 \ln \left(x^{2}\right)}{4 x}$&$38$\\ \hline \end{longtable}"," ",0,"1/4*(ln(5)-5)/x*ln(4*x^2)","A"
2962,1,15,16,0.027000," ","int((45*ln(x)^3+405*ln(x)^2+(8*x+1223)*ln(x)+16*x+1223)/(45*ln(x)^3+405*ln(x)^2+1215*ln(x)+1215),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{4 x \left(2+x \right)}{45 \left(3+\ln \left(x \right)\right)^{2}}$&$15$\\ norman&$\frac{x \ln \left(x \right)^{2}+\frac{413 x}{45}+\frac{4 x^{2}}{45}+6 x \ln \left(x \right)}{\left(3+\ln \left(x \right)\right)^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"x+4/45*x*(2+x)/(3+ln(x))^2","A"
2963,1,18,20,0.153000," ","int((x*ln(16/x^2)+x*exp(4)-x^2+x+2)/(x*ln(16/x^2)+x*exp(4)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\ln \left({\mathrm e}^{4}+\ln \left(\frac{16}{x^{2}}\right)-x \right)$&$18$\\ risch&$x -\ln \left({\mathrm e}^{4}+\ln \left(\frac{16}{x^{2}}\right)-x \right)$&$18$\\ \hline \end{longtable}"," ",0,"x-ln(exp(4)+ln(16/x^2)-x)","A"
2964,1,21,16,0.069000," ","int(((x+1)*exp(exp(3)+x-1)+3)/ln(75),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \,{\mathrm e}^{{\mathrm e}^{3}+x -1}}{\ln \left(75\right)}+\frac{3 x}{\ln \left(75\right)}$&$21$\\ risch&$\frac{{\mathrm e}^{{\mathrm e}^{3}+x -1} x}{\ln \left(3\right)+2 \ln \left(5\right)}+\frac{3 x}{\ln \left(3\right)+2 \ln \left(5\right)}$&$31$\\ default&$\frac{3 x +{\mathrm e}^{{\mathrm e}^{3}+x -1} \left({\mathrm e}^{3}+x -1\right)+{\mathrm e}^{{\mathrm e}^{3}+x -1}-{\mathrm e}^{{\mathrm e}^{3}+x -1} {\mathrm e}^{3}}{\ln \left(75\right)}$&$38$\\ derivativedivides&$\frac{3 \,{\mathrm e}^{3}+3 x -3+{\mathrm e}^{{\mathrm e}^{3}+x -1} \left({\mathrm e}^{3}+x -1\right)+{\mathrm e}^{{\mathrm e}^{3}+x -1}-{\mathrm e}^{{\mathrm e}^{3}+x -1} {\mathrm e}^{3}}{\ln \left(75\right)}$&$43$\\ \hline \end{longtable}"," ",0,"1/ln(75)*x*exp(exp(3)+x-1)+3/ln(75)*x","A"
2965,1,57,31,0.085000," ","int((((exp(2)^2-2*exp(2)*x+x^2)*exp(2-x)+exp(2)^2-2*exp(2)*x+x^2)*ln(exp(2-x)+1)^2+((-2*x*exp(2)^2+4*x^2*exp(2)-2*x^3-1)*exp(2-x)-2*x*exp(2)^2+4*x^2*exp(2)-2*x^3-1)*ln(exp(2-x)+1)+(x^2*exp(2)^2+(-2*x^3-2)*exp(2)+x^4+3*x)*exp(2-x)+x^2*exp(2)^2+(-2*x^3-1)*exp(2)+x^4+2*x)/(((x*exp(2)^2-2*x^2*exp(2)+x^3)*exp(2-x)+x*exp(2)^2-2*x^2*exp(2)+x^3)*ln(exp(2-x)+1)^2+((-2*x^2*exp(2)^2+(4*x^3-1)*exp(2)-2*x^4+x)*exp(2-x)-2*x^2*exp(2)^2+(4*x^3-1)*exp(2)-2*x^4+x)*ln(exp(2-x)+1)+(x^3*exp(2)^2+(-2*x^4+x)*exp(2)+x^5-x^2)*exp(2-x)+x^3*exp(2)^2+(-2*x^4+x)*exp(2)+x^5-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left(\ln \left({\mathrm e}^{2-x}+1\right)-\frac{x^{2} {\mathrm e}^{2}-x^{3}+1}{x \left({\mathrm e}^{2}-x \right)}\right)-\ln \left(-x +\ln \left({\mathrm e}^{2-x}+1\right)\right)$&$57$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(ln(exp(2-x)+1)-(x^2*exp(2)-x^3+1)/x/(exp(2)-x))-ln(-x+ln(exp(2-x)+1))","A"
2966,1,41,32,0.523000," ","int((((20*x^3-32*x^2+16*x)*exp(x)-40*x^5+112*x^4-104*x^3+32*x^2)*exp(x/exp(x))^2+(25*x^2-40*x+16)*exp(x))*exp(((4*x^2-4*x)*exp(x/exp(x))^2+25*x-20)/(5*x-4))/(25*x^2-40*x+16)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{\frac{4 \,{\mathrm e}^{2 x \,{\mathrm e}^{-x}} x^{2}-4 \,{\mathrm e}^{2 x \,{\mathrm e}^{-x}} x +25 x -20}{5 x -4}}$&$41$\\ \hline \end{longtable}"," ",0,"x*exp((4*exp(2*x*exp(-x))*x^2-4*exp(2*x*exp(-x))*x+25*x-20)/(5*x-4))","A"
2967,1,25,25,0.034000," ","int(1/2*(x^3*exp(1)-2*x^4-5*x^3+5*x+16)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{2}}{2}+\frac{x \,{\mathrm e}}{2}-\frac{5 x}{2}-\frac{4}{x^{2}}-\frac{5}{2 x}$&$25$\\ norman&$\frac{-4+\left(-\frac{5}{2}+\frac{{\mathrm e}}{2}\right) x^{3}-\frac{5 x}{2}-\frac{x^{4}}{2}}{x^{2}}$&$25$\\ risch&$\frac{x \,{\mathrm e}}{2}-\frac{x^{2}}{2}-\frac{5 x}{2}+\frac{-5 x -8}{2 x^{2}}$&$25$\\ gosper&$\frac{x^{3} {\mathrm e}-x^{4}-5 x^{3}-5 x -8}{2 x^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"-1/2*x^2+1/2*x*exp(1)-5/2*x-4/x^2-5/2/x","A"
2968,1,25,22,0.061000," ","int((-x^4+8*x^3+67*x^2-300*x-600)/((2*x^4-8*x^3-150*x^2+600*x)*ln((x^3-4*x^2-75*x+300)/x)-x^5-2*x^4+99*x^3+150*x^2-1800*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x -2 \ln \left(\frac{x^{3}-4 x^{2}-75 x +300}{x}\right)+6\right)$&$25$\\ risch&$\ln \left(-\frac{x}{2}+\ln \left(\frac{x^{3}-4 x^{2}-75 x +300}{x}\right)-3\right)$&$25$\\ \hline \end{longtable}"," ",0,"ln(x-2*ln((x^3-4*x^2-75*x+300)/x)+6)","A"
2969,1,313,30,0.289000," ","int((((-x^2+2*x)*ln(5)*exp(x)+x^2*ln(5))*ln(3*x^2)^2+(4*x*exp(x)*ln(5)+4*x^2*ln(5))*ln(3*x^2)-exp(x)^3+(4-2*x)*exp(x)^2+(-x^2+8*x)*exp(x)+4*x^2)/(exp(x)^2+2*exp(x)*x+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x^{2} \ln \left(5\right) \ln \left(x \right)^{2}}{{\mathrm e}^{x}+x}+\frac{2 \left(-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 \ln \left(3\right)\right) x^{2} \ln \left(5\right) \ln \left(x \right)}{{\mathrm e}^{x}+x}-\frac{4 \,{\mathrm e}^{2 x}-16 x^{2}+\ln \left(5\right) \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-4 \ln \left(5\right) \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}+6 \ln \left(5\right) \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}-4 \ln \left(5\right) \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-12 \,{\mathrm e}^{x} x +\ln \left(5\right) \pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}-4 \ln \left(5\right) \ln \left(3\right)^{2} x^{2}-8 i \ln \left(5\right) \pi  \ln \left(3\right) x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(5\right) \pi  \ln \left(3\right) x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+4 i \ln \left(5\right) \pi  \ln \left(3\right) x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}}{4 \left({\mathrm e}^{x}+x \right)}$&$313$\\ \hline \end{longtable}"," ",0,"4*x^2*ln(5)/(exp(x)+x)*ln(x)^2+2*(-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3+2*ln(3))*x^2*ln(5)/(exp(x)+x)*ln(x)-1/4*(4*exp(2*x)-16*x^2+ln(5)*Pi^2*x^2*csgn(I*x)^4*csgn(I*x^2)^2-4*ln(5)*Pi^2*x^2*csgn(I*x)^3*csgn(I*x^2)^3+6*ln(5)*Pi^2*x^2*csgn(I*x)^2*csgn(I*x^2)^4-4*ln(5)*Pi^2*x^2*csgn(I*x)*csgn(I*x^2)^5-12*exp(x)*x+ln(5)*Pi^2*x^2*csgn(I*x^2)^6-4*ln(5)*ln(3)^2*x^2-8*I*ln(5)*Pi*ln(3)*x^2*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(5)*Pi*ln(3)*x^2*csgn(I*x)^2*csgn(I*x^2)+4*I*ln(5)*Pi*ln(3)*x^2*csgn(I*x^2)^3)/(exp(x)+x)","C"
2970,1,23,30,0.070000," ","int(((-50*x+70)*exp(x)^2+(16*x-32)*exp(x)-2*x+2)/(25*exp(x)^2-10*exp(x)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+\frac{14 x}{5}+\frac{\frac{4 x}{5}+\frac{8}{5}}{5 \,{\mathrm e}^{x}-1}$&$23$\\ norman&$\frac{x^{2}+8 \,{\mathrm e}^{x}-2 x +14 \,{\mathrm e}^{x} x -5 \,{\mathrm e}^{x} x^{2}}{5 \,{\mathrm e}^{x}-1}$&$33$\\ default&$2 \ln \left({\mathrm e}^{x}\right)+\frac{8}{5 \left(5 \,{\mathrm e}^{x}-1\right)}-x^{2}+\frac{4 x \,{\mathrm e}^{x}}{5 \,{\mathrm e}^{x}-1}$&$35$\\ \hline \end{longtable}"," ",0,"-x^2+14/5*x+4/5*(2+x)/(5*exp(x)-1)","A"
2971,1,20,19,0.058000," ","int((((-12*x^4+4*x^2)*exp(-3*x^2+4)+1)*exp(2*x^2*exp(-3*x^2+4))+4)*exp(x*exp(2*x^2*exp(-3*x^2+4))+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\left({\mathrm e}^{2 x^{2} {\mathrm e}^{-3 x^{2}+4}}+4\right) x}$&$20$\\ \hline \end{longtable}"," ",0,"exp((exp(2*x^2*exp(-3*x^2+4))+4)*x)","A"
2972,1,51,18,0.468000," ","int(((2*x^2-162*x)*ln(x-81)^8+8*x^2*ln(x-81)^7+(24*x^3-1944*x^2)*ln(x-81)^6+48*x^3*ln(x-81)^5+(96*x^4-7776*x^3)*ln(x-81)^4+96*x^4*ln(x-81)^3+(160*x^5-12960*x^4)*ln(x-81)^2+64*x^5*ln(x-81)+96*x^6-7776*x^5+x-81)/(x-81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x -81\right)^{8} x^{2}+8 \ln \left(x -81\right)^{6} x^{3}+24 \ln \left(x -81\right)^{4} x^{4}+32 \ln \left(x -81\right)^{2} x^{5}+16 x^{6}+x$&$51$\\ derivativedivides&$-27113235502257+334731302497 x +111577100832 \ln \left(x -81\right)^{2}+10331213040 \left(x -81\right)^{2}+\ln \left(x -81\right)^{8} \left(x -81\right)^{2}+162 \ln \left(x -81\right)^{8} \left(x -81\right)+8 \ln \left(x -81\right)^{6} \left(x -81\right)^{3}+1944 \ln \left(x -81\right)^{6} \left(x -81\right)^{2}+24 \ln \left(x -81\right)^{4} \left(x -81\right)^{4}+157464 \ln \left(x -81\right)^{6} \left(x -81\right)+7776 \ln \left(x -81\right)^{4} \left(x -81\right)^{3}+32 \ln \left(x -81\right)^{2} \left(x -81\right)^{5}+944784 \ln \left(x -81\right)^{4} \left(x -81\right)^{2}+12960 \ln \left(x -81\right)^{2} \left(x -81\right)^{4}+51018336 \ln \left(x -81\right)^{4} \left(x -81\right)+2099520 \ln \left(x -81\right)^{2} \left(x -81\right)^{3}+170061120 \ln \left(x -81\right)^{2} \left(x -81\right)^{2}+6887475360 \ln \left(x -81\right)^{2} \left(x -81\right)+6561 \ln \left(x -81\right)^{8}+4251528 \ln \left(x -81\right)^{6}+1033121304 \ln \left(x -81\right)^{4}+16 \left(x -81\right)^{6}+7776 \left(x -81\right)^{5}+1574640 \left(x -81\right)^{4}+170061120 \left(x -81\right)^{3}$&$246$\\ default&$-27113235502257+334731302497 x +111577100832 \ln \left(x -81\right)^{2}+10331213040 \left(x -81\right)^{2}+\ln \left(x -81\right)^{8} \left(x -81\right)^{2}+162 \ln \left(x -81\right)^{8} \left(x -81\right)+8 \ln \left(x -81\right)^{6} \left(x -81\right)^{3}+1944 \ln \left(x -81\right)^{6} \left(x -81\right)^{2}+24 \ln \left(x -81\right)^{4} \left(x -81\right)^{4}+157464 \ln \left(x -81\right)^{6} \left(x -81\right)+7776 \ln \left(x -81\right)^{4} \left(x -81\right)^{3}+32 \ln \left(x -81\right)^{2} \left(x -81\right)^{5}+944784 \ln \left(x -81\right)^{4} \left(x -81\right)^{2}+12960 \ln \left(x -81\right)^{2} \left(x -81\right)^{4}+51018336 \ln \left(x -81\right)^{4} \left(x -81\right)+2099520 \ln \left(x -81\right)^{2} \left(x -81\right)^{3}+170061120 \ln \left(x -81\right)^{2} \left(x -81\right)^{2}+6887475360 \ln \left(x -81\right)^{2} \left(x -81\right)+6561 \ln \left(x -81\right)^{8}+4251528 \ln \left(x -81\right)^{6}+1033121304 \ln \left(x -81\right)^{4}+16 \left(x -81\right)^{6}+7776 \left(x -81\right)^{5}+1574640 \left(x -81\right)^{4}+170061120 \left(x -81\right)^{3}$&$246$\\ \hline \end{longtable}"," ",0,"ln(x-81)^8*x^2+8*ln(x-81)^6*x^3+24*ln(x-81)^4*x^4+32*ln(x-81)^2*x^5+16*x^6+x","B"
2973,1,37,27,0.033000," ","int(((-4*x+2)*exp(x)^2+(-4*x^3-4*x^2+64*x-64)*exp(x)-6*x^4+2*x^3+63*x^2+509)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-509+x^{3}+63 x^{2}-2 x^{4}-2 \,{\mathrm e}^{2 x}-4 \,{\mathrm e}^{x} x^{2}+64 \,{\mathrm e}^{x}}{x}$&$37$\\ default&$x^{2}+63 x -\frac{509}{x}-2 x^{3}+\frac{64 \,{\mathrm e}^{x}}{x}-4 \,{\mathrm e}^{x} x -\frac{2 \,{\mathrm e}^{2 x}}{x}$&$39$\\ risch&$x^{2}+63 x -\frac{509}{x}-2 x^{3}-\frac{2 \,{\mathrm e}^{2 x}}{x}-\frac{4 \left(x^{2}-16\right) {\mathrm e}^{x}}{x}$&$39$\\ \hline \end{longtable}"," ",0,"(-509+x^3+63*x^2-2*x^4-2*exp(x)^2-4*exp(x)*x^2+64*exp(x))/x","A"
2974,1,20,17,0.442000," ","int(((75*ln(2)+100*x)*exp(x)+3072*x*ln(2)+4096*x^2+2048)/(75*ln(2)+100*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{512 \ln \left(3 \ln \left(2\right)+4 x \right)}{25}+\frac{512 x^{2}}{25}+{\mathrm e}^{x}$&$20$\\ norman&$\frac{512 x^{2}}{25}+{\mathrm e}^{x}+\frac{512 \ln \left(75 \ln \left(2\right)+100 x \right)}{25}$&$20$\\ risch&$\frac{512 \ln \left(3 \ln \left(2\right)+4 x \right)}{25}+\frac{512 x^{2}}{25}+{\mathrm e}^{x}$&$20$\\ \hline \end{longtable}"," ",0,"512/25*ln(3*ln(2)+4*x)+512/25*x^2+exp(x)","A"
2975,1,27,27,0.060000," ","int((((12*ln(3)-6*x)*ln(x)^2+(2*(6*x^2-36)*ln(3)-6*x^3-x^2+36*x)*ln(x)+2*(-6*x^2+30)*ln(3)-x^4+6*x^3+5*x^2-30*x)*ln(ln(x)+x^2-5)+2*(2*x^3+x)*ln(3)-2*x^4-x^2)/(x^2*ln(x)+x^4-5*x^2)/exp(6*ln(x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)+x^{2}-5\right) x^{-\frac{6}{x}} \left(2 \ln \left(3\right)-x \right)$&$27$\\ \hline \end{longtable}"," ",0,"ln(ln(x)+x^2-5)/(x^(6/x))*(2*ln(3)-x)","A"
2976,1,59,25,0.160000," ","int(1/3*((-6*ln(5)+6*x)*exp(ln(5)^2-2*x*ln(5)+x^2)-2*x*exp(exp(3))^4+12*x^2*exp(exp(3))^3-24*x^3*exp(exp(3))^2+20*x^4*exp(exp(3))-6*x^5)*exp(exp(ln(5)^2-2*x*ln(5)+x^2)-1/3*x^2*exp(exp(3))^4+4/3*x^3*exp(exp(3))^3-2*x^4*exp(exp(3))^2+4/3*x^5*exp(exp(3))-1/3*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\left(\frac{1}{25}\right)^{x} {\mathrm e}^{\ln \left(5\right)^{2}+x^{2}}-\frac{x^{2} {\mathrm e}^{4 \,{\mathrm e}^{3}}}{3}+\frac{4 x^{3} {\mathrm e}^{3 \,{\mathrm e}^{3}}}{3}-2 x^{4} {\mathrm e}^{2 \,{\mathrm e}^{3}}+\frac{4 x^{5} {\mathrm e}^{{\mathrm e}^{3}}}{3}-\frac{x^{6}}{3}}$&$59$\\ norman&${\mathrm e}^{{\mathrm e}^{\ln \left(5\right)^{2}-2 x \ln \left(5\right)+x^{2}}-\frac{x^{2} {\mathrm e}^{4 \,{\mathrm e}^{3}}}{3}+\frac{4 x^{3} {\mathrm e}^{3 \,{\mathrm e}^{3}}}{3}-2 x^{4} {\mathrm e}^{2 \,{\mathrm e}^{3}}+\frac{4 x^{5} {\mathrm e}^{{\mathrm e}^{3}}}{3}-\frac{x^{6}}{3}}$&$60$\\ \hline \end{longtable}"," ",0,"exp((1/25)^x*exp(ln(5)^2+x^2)-1/3*x^2*exp(4*exp(3))+4/3*x^3*exp(3*exp(3))-2*x^4*exp(2*exp(3))+4/3*x^5*exp(exp(3))-1/3*x^6)","B"
2977,1,5,17,0.017000," ","int(-2/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(x \right)$&$5$\\ norman&$-2 \ln \left(x \right)$&$5$\\ risch&$-2 \ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"-2*ln(x)","A"
2978,1,7,17,0.026000," ","int(exp(x)-1/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{2}+{\mathrm e}^{x}$&$7$\\ norman&$-\frac{x}{2}+{\mathrm e}^{x}$&$7$\\ risch&$-\frac{x}{2}+{\mathrm e}^{x}$&$7$\\ derivativedivides&${\mathrm e}^{x}-\frac{\ln \left({\mathrm e}^{x}\right)}{2}$&$9$\\ \hline \end{longtable}"," ",0,"-1/2*x+exp(x)","A"
2979,1,18,17,0.486000," ","int(((-3*x^3+400)*exp(5)*ln(3/100*x^3-4)+9*x^3*exp(5)-27*x^3+3600)/(3*x^5-400*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{9+{\mathrm e}^{5} \ln \left(\frac{3 x^{3}}{100}-4\right)}{x}$&$18$\\ risch&$\frac{{\mathrm e}^{5} \ln \left(\frac{3 x^{3}}{100}-4\right)}{x}+\frac{9}{x}$&$21$\\ default&$\frac{9}{x}-\frac{2 \,{\mathrm e}^{5} \ln \left(10\right)}{x}+\frac{{\mathrm e}^{5} \ln \left(3 x^{3}-400\right)}{x}$&$30$\\ \hline \end{longtable}"," ",0,"(9+exp(5)*ln(3/100*x^3-4))/x","A"
2980,1,19,22,0.028000," ","int((30*x^4-12*x^3-6*x)/(6*x^5-3*x^4-3*x^2+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(6 x^{5}-3 x^{4}-3 x^{2}+2\right)$&$19$\\ default&$\ln \left(6 x^{5}-3 x^{4}-3 x^{2}+2\right)$&$19$\\ norman&$\ln \left(6 x^{5}-3 x^{4}-3 x^{2}+2\right)$&$19$\\ risch&$\ln \left(6 x^{5}-3 x^{4}-3 x^{2}+2\right)$&$19$\\ \hline \end{longtable}"," ",0,"ln(6*x^5-3*x^4-3*x^2+2)","A"
2981,1,23,21,0.248000," ","int(((-10*x^2-40)*exp((x^2-4)/x)-20*x^2)/(x^2*exp(3)*exp((x^2-4)/x)^2+(4*x^3+8*x^2)*exp(3)*exp((x^2-4)/x)+(4*x^4+16*x^3+16*x^2)*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10 \,{\mathrm e}^{-3}}{4+{\mathrm e}^{\frac{\left(x -2\right) \left(2+x \right)}{x}}+2 x}$&$23$\\ norman&$\frac{10 \,{\mathrm e}^{-3}}{4+{\mathrm e}^{\frac{x^{2}-4}{x}}+2 x}$&$24$\\ \hline \end{longtable}"," ",0,"10*exp(-3)/(4+exp((x-2)*(2+x)/x)+2*x)","A"
2982,1,24,22,0.028000," ","int(((64*x^2+128*x)*exp(x)*ln(x)+(-64*x^4+208*x^3-96*x^2-320*x)*exp(x))/(64*ln(x)^3+(-192*x^2+240*x-288)*ln(x)^2+(192*x^4-480*x^3+876*x^2-720*x+432)*ln(x)-64*x^6+240*x^5-588*x^4+845*x^3-882*x^2+540*x-216),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x^{2} {\mathrm e}^{x}}{\left(4 x^{2}-5 x -4 \ln \left(x \right)+6\right)^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"16*x^2*exp(x)/(4*x^2-5*x-4*ln(x)+6)^2","A"
2983,1,23,18,0.043000," ","int((-1296*x^3*ln(x)^3+(-6*x-4)*ln(x)-4*x-4)/(81*x^5+162*x^4+81*x^3)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16}{x +1}+\frac{2}{81 x^{2} \left(x +1\right) \ln \left(x \right)^{2}}$&$23$\\ norman&$\frac{\frac{2}{81}+16 x^{2} \ln \left(x \right)^{2}}{x^{2} \left(x +1\right) \ln \left(x \right)^{2}}$&$25$\\ \hline \end{longtable}"," ",0,"16/(x+1)+2/81/x^2/(x+1)/ln(x)^2","A"
2984,1,41,25,0.047000," ","int((x^4-2*x^3-20*x^2+8*x+16)*exp(((-x-2)*ln(-x^2+4*x)+x^2-3*x-6)/(2+x))/(x^4-12*x^2-16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-\ln \left(-x^{2}+4 x \right) x +x^{2}-2 \ln \left(-x^{2}+4 x \right)-3 x -6}{2+x}}$&$41$\\ gosper&${\mathrm e}^{-\frac{\ln \left(-x^{2}+4 x \right) x -x^{2}+2 \ln \left(-x^{2}+4 x \right)+3 x +6}{2+x}}$&$43$\\ norman&$\frac{x \,{\mathrm e}^{\frac{\left(-x -2\right) \ln \left(-x^{2}+4 x \right)+x^{2}-3 x -6}{2+x}}+2 \,{\mathrm e}^{\frac{\left(-x -2\right) \ln \left(-x^{2}+4 x \right)+x^{2}-3 x -6}{2+x}}}{2+x}$&$74$\\ \hline \end{longtable}"," ",0,"exp((-ln(-x^2+4*x)*x+x^2-2*ln(-x^2+4*x)-3*x-6)/(2+x))","A"
2985,1,43,23,0.047000," ","int(((2*x^2+3*x)*ln(x)^3+(-4*x*exp(x)^3-4*exp(x)^2+(4*x^2+6*x)*exp(x)+2+x)*ln(x)^2+((2*x^2+3*x)*exp(x)^2+(2*x+4)*exp(x))*ln(x)+(2+x)*exp(x)^2)/(x*exp(x)^2*ln(x)^4+2*x*exp(x)^3*ln(x)^3+x*exp(x)^4*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(-4 \,{\mathrm e}^{2 x} \ln \left(x \right)+{\mathrm e}^{x} x +x \ln \left(x \right)+2 \,{\mathrm e}^{x}+2 \ln \left(x \right)\right) {\mathrm e}^{-2 x}}{\left(\ln \left(x \right)+{\mathrm e}^{x}\right) \ln \left(x \right)}$&$43$\\ \hline \end{longtable}"," ",0,"-(-4*exp(2*x)*ln(x)+exp(x)*x+x*ln(x)+2*exp(x)+2*ln(x))/(ln(x)+exp(x))*exp(-2*x)/ln(x)","A"
2986,1,27,24,0.147000," ","int((((16*x^2+256*x)*exp(exp(2)+x^2+32*x+256)^2-4)*exp(exp(exp(2)+x^2+32*x+256)^2)+4*x*exp(3))*exp(exp(exp(exp(2)+x^2+32*x+256)^2)/x/exp(3))/x/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \,{\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{2 \,{\mathrm e}^{2}+2 x^{2}+64 x +512}-3}}{x}}$&$27$\\ \hline \end{longtable}"," ",0,"4*x*exp(1/x*exp(exp(2*exp(2)+2*x^2+64*x+512)-3))","A"
2987,1,26,27,0.079000," ","int(((x^3+95*x-25)*ln(1/5*(x^3+95*x-25)/x)+(-x^3-95*x+25)*ln(5)-2*x^3-25)/(3*x^5+285*x^3-75*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{\ln \left(5\right)}{3}-\frac{\ln \left(\frac{x^{3}+95 x -25}{5 x}\right)}{3}}{x}$&$26$\\ default&$-\frac{\ln \left(\frac{x^{3}+95 x -25}{x}\right)}{3 x}+\frac{2 \ln \left(5\right)}{3 x}$&$27$\\ risch&$-\frac{\ln \left(\frac{x^{3}+95 x -25}{5 x}\right)}{3 x}+\frac{\ln \left(5\right)}{3 x}$&$28$\\ \hline \end{longtable}"," ",0,"(1/3*ln(5)-1/3*ln(1/5*(x^3+95*x-25)/x))/x","A"
2988,1,15,21,0.037000," ","int((-18*x*exp(4)+3*x^2-18*x+27)/(x^3-6*x^2+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 \ln \left(x \right)+\frac{18 \,{\mathrm e}^{4}}{x -3}$&$15$\\ norman&$3 \ln \left(x \right)+\frac{18 \,{\mathrm e}^{4}}{x -3}$&$15$\\ risch&$3 \ln \left(x \right)+\frac{18 \,{\mathrm e}^{4}}{x -3}$&$15$\\ \hline \end{longtable}"," ",0,"3*ln(x)+18*exp(4)/(x-3)","A"
2989,1,21,23,0.035000," ","int((-8*exp(x)^2*ln(x)^2+(960*x^2-1040*x)*exp(x)*ln(x)+960*exp(x)*x-200*x^2)/(x^3*exp(x)^2*ln(x)^2+10*x^4*exp(x)*ln(x)+25*x^5)/exp(15*x/(exp(x)*ln(x)+5*x))^16,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-\frac{240 x}{{\mathrm e}^{x} \ln \left(x \right)+5 x}}}{x^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"4/x^2*exp(-240*x/(exp(x)*ln(x)+5*x))","A"
2990,1,19,26,0.033000," ","int((-2*ln(3)*ln(3/x^2)+4*ln(3))/x/ln(3/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(3\right) \ln \left(x \right)-2 \ln \left(3\right) \ln \left(\ln \left(\frac{3}{x^{2}}\right)\right)$&$19$\\ norman&$\ln \left(3\right) \ln \left(\frac{3}{x^{2}}\right)-2 \ln \left(3\right) \ln \left(\ln \left(\frac{3}{x^{2}}\right)\right)$&$22$\\ derivativedivides&$-\ln \left(3\right) \left(-\ln \left(\frac{3}{x^{2}}\right)+2 \ln \left(\ln \left(\frac{3}{x^{2}}\right)\right)\right)$&$23$\\ default&$-\ln \left(3\right) \left(-\ln \left(\frac{3}{x^{2}}\right)+2 \ln \left(\ln \left(\frac{3}{x^{2}}\right)\right)\right)$&$23$\\ \hline \end{longtable}"," ",0,"-2*ln(3)*ln(x)-2*ln(3)*ln(ln(3/x^2))","A"
2991,1,15838,25,4.121000," ","int((((-exp(x)-1)*ln(x)+exp(x)+1)*ln(5/(exp(x)*x+x))+((1-x)*exp(x)+1)*ln(x)-2*exp(x)-2)/(((exp(x)*x+x)*ln(x)*ln(5/(exp(x)*x+x))+(-2*exp(x)*x-2*x)*ln(x))*ln((-ln(x)*ln(5/(exp(x)*x+x))+2*ln(x))/x)+(5*exp(x)*x+5*x)*ln(x)*ln(5/(exp(x)*x+x))+(-10*exp(x)*x-10*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$15838$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
2992,1,41,19,0.412000," ","int((-400*x*ln(19)^2+(-200*exp(2)*x+1000*x)*ln(19)-25*x*exp(2)^2+250*exp(2)*x-625*x-625)/(4096*x^3*ln(19)^6+(6144*x^3*exp(2)-30720*x^3)*ln(19)^5+(3840*x^3*exp(2)^2-38400*x^3*exp(2)+96000*x^3-19200*x^2)*ln(19)^4+(1280*x^3*exp(2)^3-19200*x^3*exp(2)^2+(96000*x^3-19200*x^2)*exp(2)-160000*x^3+96000*x^2)*ln(19)^3+(240*x^3*exp(2)^4-4800*x^3*exp(2)^3+(36000*x^3-7200*x^2)*exp(2)^2+(-120000*x^3+72000*x^2)*exp(2)+150000*x^3-180000*x^2+30000*x)*ln(19)^2+(24*x^3*exp(2)^5-600*x^3*exp(2)^4+(6000*x^3-1200*x^2)*exp(2)^3+(-30000*x^3+18000*x^2)*exp(2)^2+(75000*x^3-90000*x^2+15000*x)*exp(2)-75000*x^3+150000*x^2-75000*x)*ln(19)+x^3*exp(2)^6-30*x^3*exp(2)^5+(375*x^3-75*x^2)*exp(2)^4+(-2500*x^3+1500*x^2)*exp(2)^3+(9375*x^3-11250*x^2+1875*x)*exp(2)^2+(-18750*x^3+37500*x^2-18750*x)*exp(2)+15625*x^3-46875*x^2+46875*x-15625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{25 x}{\left(x \,{\mathrm e}^{4}+8 \,{\mathrm e}^{2} \ln \left(19\right) x +16 x \ln \left(19\right)^{2}-10 \,{\mathrm e}^{2} x -40 \ln \left(19\right) x +25 x -25\right)^{2}}$&$41$\\ risch&$\frac{25 x}{x^{2} {\mathrm e}^{8}+16 \,{\mathrm e}^{6} \ln \left(19\right) x^{2}+96 \,{\mathrm e}^{4} \ln \left(19\right)^{2} x^{2}+256 \,{\mathrm e}^{2} \ln \left(19\right)^{3} x^{2}+256 \ln \left(19\right)^{4} x^{2}-20 x^{2} {\mathrm e}^{6}-240 \,{\mathrm e}^{4} \ln \left(19\right) x^{2}-960 \,{\mathrm e}^{2} \ln \left(19\right)^{2} x^{2}-1280 \ln \left(19\right)^{3} x^{2}+150 x^{2} {\mathrm e}^{4}+1200 \,{\mathrm e}^{2} \ln \left(19\right) x^{2}+2400 \ln \left(19\right)^{2} x^{2}-50 x \,{\mathrm e}^{4}-400 \,{\mathrm e}^{2} \ln \left(19\right) x -500 x^{2} {\mathrm e}^{2}-800 x \ln \left(19\right)^{2}-2000 \ln \left(19\right) x^{2}+500 \,{\mathrm e}^{2} x +2000 \ln \left(19\right) x +625 x^{2}-1250 x +625}$&$166$\\ gosper&$\frac{25 x}{x^{2} {\mathrm e}^{8}+16 \,{\mathrm e}^{6} \ln \left(19\right) x^{2}+96 \,{\mathrm e}^{4} \ln \left(19\right)^{2} x^{2}+256 \,{\mathrm e}^{2} \ln \left(19\right)^{3} x^{2}+256 \ln \left(19\right)^{4} x^{2}-20 x^{2} {\mathrm e}^{6}-240 \,{\mathrm e}^{4} \ln \left(19\right) x^{2}-960 \,{\mathrm e}^{2} \ln \left(19\right)^{2} x^{2}-1280 \ln \left(19\right)^{3} x^{2}+150 x^{2} {\mathrm e}^{4}+1200 \,{\mathrm e}^{2} \ln \left(19\right) x^{2}+2400 \ln \left(19\right)^{2} x^{2}-50 x \,{\mathrm e}^{4}-400 \,{\mathrm e}^{2} \ln \left(19\right) x -500 x^{2} {\mathrm e}^{2}-800 x \ln \left(19\right)^{2}-2000 \ln \left(19\right) x^{2}+500 \,{\mathrm e}^{2} x +2000 \ln \left(19\right) x +625 x^{2}-1250 x +625}$&$180$\\ default&$\frac{25 \left(\munderset{\textit{\_R} =\RootOf \left(-15625+\left(15625+75000 \ln \left(19\right) {\mathrm e}^{2}+375 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{10}-2500 \,{\mathrm e}^{6}+9375 \,{\mathrm e}^{4}-18750 \,{\mathrm e}^{2}-75000 \ln \left(19\right)+{\mathrm e}^{12}+24 \,{\mathrm e}^{10} \ln \left(19\right)+240 \,{\mathrm e}^{8} \ln \left(19\right)^{2}+1280 \,{\mathrm e}^{6} \ln \left(19\right)^{3}+3840 \,{\mathrm e}^{4} \ln \left(19\right)^{4}-600 \,{\mathrm e}^{8} \ln \left(19\right)-4800 \,{\mathrm e}^{6} \ln \left(19\right)^{2}-19200 \,{\mathrm e}^{4} \ln \left(19\right)^{3}+6144 \,{\mathrm e}^{2} \ln \left(19\right)^{5}-38400 \,{\mathrm e}^{2} \ln \left(19\right)^{4}+96000 \,{\mathrm e}^{2} \ln \left(19\right)^{3}-120000 \,{\mathrm e}^{2} \ln \left(19\right)^{2}+6000 \,{\mathrm e}^{6} \ln \left(19\right)+36000 \,{\mathrm e}^{4} \ln \left(19\right)^{2}-30000 \,{\mathrm e}^{4} \ln \left(19\right)-160000 \ln \left(19\right)^{3}+150000 \ln \left(19\right)^{2}+4096 \ln \left(19\right)^{6}-30720 \ln \left(19\right)^{5}+96000 \ln \left(19\right)^{4}\right) \textit{\_Z}^{3}+\left(1500 \,{\mathrm e}^{6}-75 \,{\mathrm e}^{8}-46875-11250 \,{\mathrm e}^{4}+37500 \,{\mathrm e}^{2}-19200 \ln \left(19\right)^{4}+96000 \ln \left(19\right)^{3}-180000 \ln \left(19\right)^{2}+150000 \ln \left(19\right)-1200 \,{\mathrm e}^{6} \ln \left(19\right)-7200 \,{\mathrm e}^{4} \ln \left(19\right)^{2}+18000 \,{\mathrm e}^{4} \ln \left(19\right)-19200 \,{\mathrm e}^{2} \ln \left(19\right)^{3}+72000 \,{\mathrm e}^{2} \ln \left(19\right)^{2}-90000 \ln \left(19\right) {\mathrm e}^{2}\right) \textit{\_Z}^{2}+\left(46875-18750 \,{\mathrm e}^{2}-75000 \ln \left(19\right)+1875 \,{\mathrm e}^{4}+30000 \ln \left(19\right)^{2}+15000 \ln \left(19\right) {\mathrm e}^{2}\right) \textit{\_Z} \right)}{\sum}\frac{\left(-\textit{\_R} \,{\mathrm e}^{4}-8 \,{\mathrm e}^{2} \ln \left(19\right) \textit{\_R} -16 \textit{\_R} \ln \left(19\right)^{2}+10 \,{\mathrm e}^{2} \textit{\_R} +40 \ln \left(19\right) \textit{\_R} -25 \textit{\_R} -25\right) \ln \left(x -\textit{\_R} \right)}{15625-31250 \textit{\_R} +5000 \ln \left(19\right) {\mathrm e}^{2}+625 \,{\mathrm e}^{4}-6250 \,{\mathrm e}^{2}-2500 \textit{\_R}^{2} {\mathrm e}^{6}-25000 \ln \left(19\right)+15625 \textit{\_R}^{2}-7500 \textit{\_R} \,{\mathrm e}^{4}-120000 \textit{\_R} \ln \left(19\right)^{2}+25000 \,{\mathrm e}^{2} \textit{\_R} +100000 \ln \left(19\right) \textit{\_R} -12800 \ln \left(19\right)^{4} \textit{\_R} +64000 \ln \left(19\right)^{3} \textit{\_R} -50 \textit{\_R} \,{\mathrm e}^{8}+375 \textit{\_R}^{2} {\mathrm e}^{8}+9375 \textit{\_R}^{2} {\mathrm e}^{4}+1000 \textit{\_R} \,{\mathrm e}^{6}-18750 \textit{\_R}^{2} {\mathrm e}^{2}-30 \textit{\_R}^{2} {\mathrm e}^{10}+96000 \ln \left(19\right)^{4} \textit{\_R}^{2}-160000 \ln \left(19\right)^{3} \textit{\_R}^{2}+150000 \ln \left(19\right)^{2} \textit{\_R}^{2}-75000 \ln \left(19\right) \textit{\_R}^{2}-30720 \ln \left(19\right)^{5} \textit{\_R}^{2}+{\mathrm e}^{12} \textit{\_R}^{2}+4096 \textit{\_R}^{2} \ln \left(19\right)^{6}+10000 \ln \left(19\right)^{2}-60000 \,{\mathrm e}^{2} \ln \left(19\right) \textit{\_R} +6000 \,{\mathrm e}^{6} \ln \left(19\right) \textit{\_R}^{2}+36000 \,{\mathrm e}^{4} \ln \left(19\right)^{2} \textit{\_R}^{2}-30000 \,{\mathrm e}^{4} \ln \left(19\right) \textit{\_R}^{2}-12800 \,{\mathrm e}^{2} \ln \left(19\right)^{3} \textit{\_R} +48000 \,{\mathrm e}^{2} \ln \left(19\right)^{2} \textit{\_R} +96000 \,{\mathrm e}^{2} \ln \left(19\right)^{3} \textit{\_R}^{2}-120000 \,{\mathrm e}^{2} \ln \left(19\right)^{2} \textit{\_R}^{2}+75000 \,{\mathrm e}^{2} \ln \left(19\right) \textit{\_R}^{2}+6144 \,{\mathrm e}^{2} \ln \left(19\right)^{5} \textit{\_R}^{2}-38400 \,{\mathrm e}^{2} \ln \left(19\right)^{4} \textit{\_R}^{2}+24 \,{\mathrm e}^{10} \ln \left(19\right) \textit{\_R}^{2}+240 \,{\mathrm e}^{8} \ln \left(19\right)^{2} \textit{\_R}^{2}+1280 \,{\mathrm e}^{6} \ln \left(19\right)^{3} \textit{\_R}^{2}+3840 \,{\mathrm e}^{4} \ln \left(19\right)^{4} \textit{\_R}^{2}-600 \,{\mathrm e}^{8} \ln \left(19\right) \textit{\_R}^{2}-4800 \,{\mathrm e}^{6} \ln \left(19\right)^{2} \textit{\_R}^{2}-19200 \,{\mathrm e}^{4} \ln \left(19\right)^{3} \textit{\_R}^{2}-800 \,{\mathrm e}^{6} \ln \left(19\right) \textit{\_R} -4800 \,{\mathrm e}^{4} \ln \left(19\right)^{2} \textit{\_R} +12000 \,{\mathrm e}^{4} \ln \left(19\right) \textit{\_R}}\right)}{3}$&$714$\\ \hline \end{longtable}"," ",0,"25*x/(x*exp(2)^2+8*exp(2)*ln(19)*x+16*x*ln(19)^2-10*exp(2)*x-40*ln(19)*x+25*x-25)^2","B"
2993,1,27,26,0.506000," ","int(-2*ln(ln(5))^2*ln(5*ln(2*ln(2))*ln(2*ln(5))-x+4)/(5*ln(2*ln(2))*ln(2*ln(5))-x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(5 \ln \left(2 \ln \left(2\right)\right) \ln \left(2 \ln \left(5\right)\right)-x +4\right)^{2} \ln \left(\ln \left(5\right)\right)^{2}$&$27$\\ default&$\ln \left(5 \ln \left(2 \ln \left(2\right)\right) \ln \left(2 \ln \left(5\right)\right)-x +4\right)^{2} \ln \left(\ln \left(5\right)\right)^{2}$&$27$\\ norman&$\ln \left(5 \ln \left(2 \ln \left(2\right)\right) \ln \left(2 \ln \left(5\right)\right)-x +4\right)^{2} \ln \left(\ln \left(5\right)\right)^{2}$&$27$\\ risch&$\ln \left(\ln \left(5\right)\right)^{2} \ln \left(5 \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) \left(\ln \left(2\right)+\ln \left(\ln \left(5\right)\right)\right)-x +4\right)^{2}$&$29$\\ \hline \end{longtable}"," ",0,"ln(5*ln(2*ln(2))*ln(2*ln(5))-x+4)^2*ln(ln(5))^2","A"
2994,1,22,20,0.074000," ","int(1/76*((-76*exp(exp(5))+9*x^2+380)*ln(2*x)+76*exp(exp(5))-3*x^2-380)/ln(2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \left(-3 x^{2}+76 \,{\mathrm e}^{{\mathrm e}^{5}}-380\right)}{76 \ln \left(2 x \right)}$&$22$\\ norman&$\frac{\left(-{\mathrm e}^{{\mathrm e}^{5}}+5\right) x +\frac{3 x^{3}}{76}}{\ln \left(2 x \right)}$&$23$\\ derivativedivides&$\frac{{\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, -\ln \left(2 x \right)\right)}{2}+\frac{3 x^{3}}{76 \ln \left(2 x \right)}+\frac{{\mathrm e}^{{\mathrm e}^{5}} \left(-\frac{2 x}{\ln \left(2 x \right)}-\expIntegralEi \left(1, -\ln \left(2 x \right)\right)\right)}{2}+\frac{5 x}{\ln \left(2 x \right)}$&$60$\\ default&$\frac{{\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, -\ln \left(2 x \right)\right)}{2}+\frac{3 x^{3}}{76 \ln \left(2 x \right)}+\frac{{\mathrm e}^{{\mathrm e}^{5}} \left(-\frac{2 x}{\ln \left(2 x \right)}-\expIntegralEi \left(1, -\ln \left(2 x \right)\right)\right)}{2}+\frac{5 x}{\ln \left(2 x \right)}$&$60$\\ \hline \end{longtable}"," ",0,"-1/76*x*(-3*x^2+76*exp(exp(5))-380)/ln(2*x)","A"
2995,1,18,20,0.028000," ","int(((-3*x^2-2*x-1)*ln(x)-x^2-x-1)/(x^3+x^2+x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(\ln \left(x \right)\right)-\ln \left(x \left(x^{2}+x +1\right)\right)$&$18$\\ risch&$-\ln \left(x^{3}+x^{2}+x \right)-\ln \left(\ln \left(x \right)\right)$&$18$\\ norman&$-\ln \left(x \right)-\ln \left(\ln \left(x \right)\right)-\ln \left(x^{2}+x +1\right)$&$20$\\ \hline \end{longtable}"," ",0,"-ln(ln(x))-ln(x*(x^2+x+1))","A"
2996,1,17,19,0.234000," ","int(((-64*x-896)*exp((x+7)/x)^2+192*x)/(9*x*exp((x+7)/x)^4-54*x*exp((x+7)/x)^2+81*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{64 x}{9 \left({\mathrm e}^{\frac{14+2 x}{x}}-3\right)}$&$17$\\ norman&$-\frac{64 x}{9 \left({\mathrm e}^{\frac{14+2 x}{x}}-3\right)}$&$18$\\ \hline \end{longtable}"," ",0,"-64/9*x/(exp(2*(x+7)/x)-3)","A"
2997,1,27,26,0.569000," ","int(((-100*x^3+1240*x^2-4628*x+4640)*ln((5*x-29)/(x-5))^2+(32*x^2-64*x)*ln((5*x-29)/(x-5))+15*x^9-222*x^8+1143*x^7-2388*x^6+1740*x^5)/(15*x^9-222*x^8+1143*x^7-2388*x^6+1740*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \ln \left(\frac{5 x -29}{x -5}\right)^{2}}{3 x^{4} \left(x -2\right)}+x$&$27$\\ \hline \end{longtable}"," ",0,"4/3/x^4/(x-2)*ln((5*x-29)/(x-5))^2+x","A"
2998,1,26,18,0.063000," ","int(1/4*(-2*x*ln(3)-192*x^3+128*x^2+4*x+4)*exp(1/2*(1-x)*ln(3)-16*x^3+16*x^2+x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{x \ln \left(3\right)}{2}+\frac{\ln \left(3\right)}{2}-16 x^{3}+16 x^{2}+x -1} x$&$26$\\ norman&$x \,{\mathrm e}^{\frac{\left(1-x \right) \ln \left(3\right)}{2}-16 x^{3}+16 x^{2}+x -1}$&$26$\\ risch&$x 3^{-\frac{x}{2}+\frac{1}{2}} {\mathrm e}^{-\left(x -1\right) \left(4 x -1\right) \left(4 x +1\right)}$&$26$\\ \hline \end{longtable}"," ",0,"exp(-1/2*x*ln(3)+1/2*ln(3)-16*x^3+16*x^2+x-1)*x","A"
2999,1,8,9,0.026000," ","int((ln(x)+2)/(x*ln(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(x \ln \left(x \right)+x \right)$&$8$\\ default&$\ln \left(x \ln \left(x \right)+x \right)$&$8$\\ norman&$\ln \left(x \right)+\ln \left(\ln \left(x \right)+1\right)$&$9$\\ risch&$\ln \left(x \right)+\ln \left(\ln \left(x \right)+1\right)$&$9$\\ \hline \end{longtable}"," ",0,"ln(x*ln(x)+x)","A"
3000,1,65,32,0.099000," ","int(((2*x-1)*exp((-4*ln(2)^2*exp(x)+4*ln(2)^3+2*x)/x)^2+(2*(-4*x+4)*ln(2)^2*exp(x)-8*ln(2)^3-4*x)*exp((-4*ln(2)^2*exp(x)+4*ln(2)^3+2*x)/x)+2*(4*x-4)*ln(2)^2*exp(x)+8*ln(2)^3+2*x)/exp((-4*ln(2)^2*exp(x)+4*ln(2)^3+2*x)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-x -2 x^{2} {\mathrm e}^{\frac{4 \ln \left(2\right)^{2} {\mathrm e}^{x}-4 \ln \left(2\right)^{3}-2 x}{x}}+x^{2} {\mathrm e}^{\frac{8 \ln \left(2\right)^{2} {\mathrm e}^{x}-8 \ln \left(2\right)^{3}-4 x}{x}}$&$65$\\ norman&$\left(x^{2}+x^{2} {\mathrm e}^{\frac{-8 \ln \left(2\right)^{2} {\mathrm e}^{x}+8 \ln \left(2\right)^{3}+4 x}{x}}-x \,{\mathrm e}^{\frac{-8 \ln \left(2\right)^{2} {\mathrm e}^{x}+8 \ln \left(2\right)^{3}+4 x}{x}}-2 x^{2} {\mathrm e}^{\frac{-4 \ln \left(2\right)^{2} {\mathrm e}^{x}+4 \ln \left(2\right)^{3}+2 x}{x}}\right) {\mathrm e}^{-\frac{2 \left(-4 \ln \left(2\right)^{2} {\mathrm e}^{x}+4 \ln \left(2\right)^{3}+2 x \right)}{x}}$&$116$\\ \hline \end{longtable}"," ",0,"x^2-x-2*x^2*exp(2*(2*ln(2)^2*exp(x)-2*ln(2)^3-x)/x)+x^2*exp(4*(2*ln(2)^2*exp(x)-2*ln(2)^3-x)/x)","A"
3001,1,42,27,0.147000," ","int((-9*x*ln(x)^2+((6-6*x)*ln(3)+36*x)*ln(x)+x*ln(3)^2+(12*x^2-6)*ln(3)+18*x^3-18*x^2-27*x)/(x*ln(3)^2+6*x^2*ln(3)+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-6 \ln \left(x \right)-6 x \ln \left(x \right)+6 x^{2}+3 \ln \left(x \right)^{2}-\frac{\ln \left(3\right)^{2}}{3}+3-2 \ln \left(3\right)}{\ln \left(3\right)+3 x}$&$42$\\ risch&$\frac{3 \ln \left(x \right)^{2}}{\ln \left(3\right)+3 x}+\frac{2 \left(\ln \left(3\right)-3\right) \ln \left(x \right)}{\ln \left(3\right)+3 x}-\frac{6 \ln \left(3\right) \ln \left(x \right)+18 x \ln \left(x \right)-\ln \left(3\right)^{2}-6 x \ln \left(3\right)-18 x^{2}+6 \ln \left(3\right)-9}{3 \left(\ln \left(3\right)+3 x \right)}$&$75$\\ \hline \end{longtable}"," ",0,"(-6*ln(x)-6*x*ln(x)+6*x^2+3*ln(x)^2-1/3*ln(3)^2+3-2*ln(3))/(ln(3)+3*x)","A"
3002,1,31,22,0.056000," ","int((x^2*ln(2)*exp(exp(1))+(-2*x^3-3*x^2+1)*ln(2))/(x^3*exp(exp(1))-x^4-3*x^3+3*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(2\right) \left(\ln \left(-x^{2} {\mathrm e}^{{\mathrm e}}+x^{3}+3 x^{2}-3 x +1\right)-\ln \left(x \right)\right)$&$31$\\ risch&$-\ln \left(2\right) \ln \left(x \right)+\ln \left(2\right) \ln \left(1+x^{3}+\left(3-{\mathrm e}^{{\mathrm e}}\right) x^{2}-3 x \right)$&$31$\\ norman&$\ln \left(2\right) \ln \left(x^{2} {\mathrm e}^{{\mathrm e}}-x^{3}-3 x^{2}+3 x -1\right)-\ln \left(2\right) \ln \left(x \right)$&$34$\\ \hline \end{longtable}"," ",0,"ln(2)*(ln(-x^2*exp(exp(1))+x^3+3*x^2-3*x+1)-ln(x))","A"
3003,1,27,25,0.072000," ","int((ln(x)*ln(5*x)+(-4*x^2+2*x-1)*ln(x)-2*x)/x^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-4 x^{2}-\ln \left(5 x \right)}{x}+2 \ln \left(x \right)-2 \ln \left(\ln \left(x \right)\right)$&$27$\\ default&$-4 x -\frac{\ln \left(5\right)}{x}-\frac{\ln \left(x \right)}{x}+2 \ln \left(x \right)-2 \ln \left(\ln \left(x \right)\right)$&$28$\\ risch&$-\frac{\ln \left(x \right)}{x}-\frac{-4 x \ln \left(x \right)+8 x^{2}+2 \ln \left(5\right)}{2 x}-2 \ln \left(\ln \left(x \right)\right)$&$34$\\ \hline \end{longtable}"," ",0,"(-4*x^2-ln(5*x))/x+2*ln(x)-2*ln(ln(x))","A"
3004,1,15,15,0.053000," ","int(((3*x^5+1024)*exp(x)+6*x^5+3072)/(x^5*exp(x)+3*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\frac{256}{x^{4}}+\ln \left(3+{\mathrm e}^{x}\right)$&$15$\\ norman&$\frac{2 x^{5}-256}{x^{4}}+\ln \left(3+{\mathrm e}^{x}\right)$&$18$\\ \hline \end{longtable}"," ",0,"2*x-256/x^4+ln(3+exp(x))","A"
3005,1,38,20,1.207000," ","int(((-7*x^5+140*x^4-1120*x^3+4482*x^2-8952*x+7168)*exp((-7*x^5+108*x^4-608*x^3+1407*x^2-768*x-1024)/(x^4-16*x^3+96*x^2-256*x+256))-x^5+20*x^4-160*x^3+640*x^2-1280*x+1024)/(x^5-20*x^4+160*x^3-640*x^2+1280*x-1024),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{-\frac{7 x^{5}-108 x^{4}+608 x^{3}-1407 x^{2}+768 x +1024}{\left(x -4\right)^{4}}}$&$38$\\ norman&$\frac{x^{4} {\mathrm e}^{\frac{-7 x^{5}+108 x^{4}-608 x^{3}+1407 x^{2}-768 x -1024}{x^{4}-16 x^{3}+96 x^{2}-256 x +256}}-1280 x^{2}+160 x^{3}+3840 x -x^{5}-256 x \,{\mathrm e}^{\frac{-7 x^{5}+108 x^{4}-608 x^{3}+1407 x^{2}-768 x -1024}{x^{4}-16 x^{3}+96 x^{2}-256 x +256}}+96 x^{2} {\mathrm e}^{\frac{-7 x^{5}+108 x^{4}-608 x^{3}+1407 x^{2}-768 x -1024}{x^{4}-16 x^{3}+96 x^{2}-256 x +256}}-16 x^{3} {\mathrm e}^{\frac{-7 x^{5}+108 x^{4}-608 x^{3}+1407 x^{2}-768 x -1024}{x^{4}-16 x^{3}+96 x^{2}-256 x +256}}+256 \,{\mathrm e}^{\frac{-7 x^{5}+108 x^{4}-608 x^{3}+1407 x^{2}-768 x -1024}{x^{4}-16 x^{3}+96 x^{2}-256 x +256}}-4096}{\left(x -4\right)^{4}}$&$281$\\ \hline \end{longtable}"," ",0,"-x+exp(-(7*x^5-108*x^4+608*x^3-1407*x^2+768*x+1024)/(x-4)^4)","A"
3006,1,21,19,0.080000," ","int((-1875*exp(3)-675*x^2+2700*x+18750)/(625*exp(3)^2+(-450*x^2-1250*x-10000)*exp(3)+81*x^4+450*x^3+4225*x^2+10000*x+40000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{-3 x +6}{-\frac{9 x^{2}}{25}+{\mathrm e}^{3}-x -8}$&$21$\\ gosper&$-\frac{75 \left(x -2\right)}{-9 x^{2}+25 \,{\mathrm e}^{3}-25 x -200}$&$22$\\ norman&$\frac{-75 x +150}{-9 x^{2}+25 \,{\mathrm e}^{3}-25 x -200}$&$23$\\ \hline \end{longtable}"," ",0,"(-3*x+6)/(-9/25*x^2+exp(3)-x-8)","A"
3007,1,51,26,0.227000," ","int(((80*x*ln(2)+16*x^3+560*x-400)*exp((x^2*ln(2)^2+(14*x^2-10*x)*ln(2)+2*x^3+49*x^2-70*x+25)/x^2)-8*x^3)/(4*x^3*exp((x^2*ln(2)^2+(14*x^2-10*x)*ln(2)+2*x^3+49*x^2-70*x+25)/x^2)-4*x^4+13*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(4 x -4 \,{\mathrm e}^{\frac{x^{2} \ln \left(2\right)^{2}+\left(14 x^{2}-10 x \right) \ln \left(2\right)+2 x^{3}+49 x^{2}-70 x +25}{x^{2}}}-13\right)$&$51$\\ risch&$4 x +\frac{\left(-20 \ln \left(2\right)-140\right) x +50}{x^{2}}-\frac{2 \left(x^{2} \ln \left(2\right)^{2}+\left(14 x^{2}-10 x \right) \ln \left(2\right)+2 x^{3}+49 x^{2}-70 x +25\right)}{x^{2}}+2 \ln \left(-x +16384 \left(\frac{1}{1024}\right)^{\frac{1}{x}} {\mathrm e}^{\frac{x^{2} \ln \left(2\right)^{2}+2 x^{3}+49 x^{2}-70 x +25}{x^{2}}}+\frac{13}{4}\right)$&$102$\\ \hline \end{longtable}"," ",0,"2*ln(4*x-4*exp((x^2*ln(2)^2+(14*x^2-10*x)*ln(2)+2*x^3+49*x^2-70*x+25)/x^2)-13)","A"
3008,1,7,25,0.023000," ","int((x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\ln \left(x \right)$&$7$\\ norman&$x -\ln \left(x \right)$&$7$\\ risch&$x -\ln \left(x \right)$&$7$\\ \hline \end{longtable}"," ",0,"x-ln(x)","A"
3009,1,17,17,0.059000," ","int((exp(x)+(x-1)*exp(1)-4)/(exp(x)*x-x*exp(1)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x +\ln \left(x \,{\mathrm e}-{\mathrm e}^{x} x -4\right)$&$17$\\ risch&$\ln \left(x \right)-x +\ln \left({\mathrm e}^{x}-\frac{x \,{\mathrm e}-4}{x}\right)$&$22$\\ \hline \end{longtable}"," ",0,"-x+ln(x*exp(1)-exp(x)*x-4)","A"
3010,1,11,18,0.115000," ","int(((-x*exp(9)^16*exp(x)-exp(1))*exp(exp(9)^16*exp(x)/exp(1))+exp(1))/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{{\mathrm e}^{143+x}}+x$&$11$\\ norman&$x -x \,{\mathrm e}^{{\mathrm e}^{144} {\mathrm e}^{x} {\mathrm e}^{-1}}$&$18$\\ default&${\mathrm e}^{-1} \left(-x \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{144} {\mathrm e}^{x} {\mathrm e}^{-1}}+x \,{\mathrm e}\right)$&$28$\\ \hline \end{longtable}"," ",0,"-x*exp(exp(143+x))+x","A"
3011,1,35,26,0.471000," ","int(((-60*ln(2)+24*x^2)*ln(1/2*(10*ln(2)-4*x^2)/ln(2))+2*(180*x^2-10*x-30)*ln(2)-144*x^4+8*x^3+72*x^2)/(10*ln(2)-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$12 x^{3}-x^{2}-6 x -6 x \ln \left(-2 x^{2}+5 \ln \left(2\right)\right)+6 x \ln \left(\ln \left(2\right)\right)$&$35$\\ norman&$-6 x -x^{2}+12 x^{3}-6 x \ln \left(\frac{10 \ln \left(2\right)-4 x^{2}}{2 \ln \left(2\right)}\right)$&$35$\\ risch&$-6 x -x^{2}+12 x^{3}-6 x \ln \left(\frac{10 \ln \left(2\right)-4 x^{2}}{2 \ln \left(2\right)}\right)$&$35$\\ \hline \end{longtable}"," ",0,"12*x^3-x^2-6*x-6*x*ln(-2*x^2+5*ln(2))+6*x*ln(ln(2))","A"
3012,1,43,31,0.169000," ","int((((-10*x*exp(x-2)+20*x^2)*ln(x)+(-5*x+5)*exp(x-2)+10*x^2-10)*exp(x^2*ln(x))+((5*x^2-10*x)*exp(3)+4)*exp(x-2)+10*x^2*exp(3)-8)/(exp(x-2)^2-4*x*exp(x-2)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4+5 x^{2} {\mathrm e}^{3}}{2 x -{\mathrm e}^{x -2}}+\frac{5 x^{x^{2}}}{2 x -{\mathrm e}^{x -2}}$&$43$\\ \hline \end{longtable}"," ",0,"(4+5*x^2*exp(3))/(2*x-exp(x-2))+5/(2*x-exp(x-2))*x^(x^2)","A"
3013,1,28,22,0.053000," ","int((-ln(x*ln(17/7))-5*exp(2-x)-1)/(x^2*ln(x*ln(17/7))^2+(-10*x*exp(2-x)+4*x*ln(2))*ln(x*ln(17/7))+25*exp(2-x)^2-20*exp(2-x)*ln(2)+4*ln(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x \ln \left(x \left(\ln \left(17\right)-\ln \left(7\right)\right)\right)+2 \ln \left(2\right)-5 \,{\mathrm e}^{2-x}}$&$28$\\ \hline \end{longtable}"," ",0,"1/(x*ln(x*(ln(17)-ln(7)))+2*ln(2)-5*exp(2-x))","A"
3014,1,16,15,0.172000," ","int((exp(1/x)-2*x^3+x^2)*exp(-exp(1/x)-x^2+x+5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-{\mathrm e}^{\frac{1}{x}}-x^{2}+x +5}$&$16$\\ risch&${\mathrm e}^{-{\mathrm e}^{\frac{1}{x}}-x^{2}+x +5}$&$16$\\ \hline \end{longtable}"," ",0,"exp(-exp(1/x)-x^2+x+5)","A"
3015,1,97,17,0.064000," ","int(((-500*ln(x)-4500)*ln(ln(x)+4)^3+(-300*ln(x)^2-10200*ln(x)-67500)*ln(ln(x)+4)^2+(-60*ln(x)^3-3540*ln(x)^2-64500*ln(x)-337500)*ln(ln(x)+4)-4*ln(x)^4-336*ln(x)^3-10200*ln(x)^2-130000*ln(x)-562500)/(x*ln(x)+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-625 \ln \left(\ln \left(x \right)+4\right)^{4}+\left(-500 \ln \left(x \right)-12500\right) \ln \left(\ln \left(x \right)+4\right)^{3}+\left(-150 \ln \left(x \right)^{2}-7500 \ln \left(x \right)-93750\right) \ln \left(\ln \left(x \right)+4\right)^{2}+\left(-20 \ln \left(x \right)^{3}-1500 \ln \left(x \right)^{2}-37500 \ln \left(x \right)\right) \ln \left(\ln \left(x \right)+4\right)-\ln \left(x \right)^{4}-100 \ln \left(x \right)^{3}-3750 \ln \left(x \right)^{2}-62500 \ln \left(x \right)-312500 \ln \left(\ln \left(x \right)+4\right)$&$97$\\ default&$-\ln \left(x \right)^{4}-100 \ln \left(x \right)^{3}-3750 \ln \left(x \right)^{2}-62500 \ln \left(x \right)-185220 \ln \left(\ln \left(x \right)+4\right)-625 \ln \left(\ln \left(x \right)+4\right)^{4}-500 \left(\ln \left(x \right)+4\right) \ln \left(\ln \left(x \right)+4\right)^{3}-6300 \ln \left(\ln \left(x \right)+4\right)^{2} \left(\ln \left(x \right)+4\right)-26460 \ln \left(\ln \left(x \right)+4\right) \left(\ln \left(x \right)+4\right)+\frac{349040}{3}-150 \left(\ln \left(x \right)+4\right)^{2} \ln \left(\ln \left(x \right)+4\right)^{2}-1260 \ln \left(\ln \left(x \right)+4\right) \left(\ln \left(x \right)+4\right)^{2}-10500 \ln \left(\ln \left(x \right)+4\right)^{3}-20 \ln \left(\ln \left(x \right)+4\right) \left(\ln \left(x \right)+4\right)^{3}-66150 \ln \left(\ln \left(x \right)+4\right)^{2}$&$137$\\ \hline \end{longtable}"," ",0,"-625*ln(ln(x)+4)^4+(-500*ln(x)-12500)*ln(ln(x)+4)^3+(-150*ln(x)^2-7500*ln(x)-93750)*ln(ln(x)+4)^2+(-20*ln(x)^3-1500*ln(x)^2-37500*ln(x))*ln(ln(x)+4)-ln(x)^4-100*ln(x)^3-3750*ln(x)^2-62500*ln(x)-312500*ln(ln(x)+4)","B"
3016,1,27,30,0.123000," ","int(((2*x^2-7)*exp(2*x)-x^4-2*x^3+6*x^2+16*x-1)/(exp(2*x)^2+(-2*x^3-8*x^2-2*x+8)*exp(2*x)+x^6+8*x^5+18*x^4-31*x^2-8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}+x -3}{x^{3}+4 x^{2}+x -{\mathrm e}^{2 x}-4}$&$27$\\ risch&$\frac{x^{2}+x -3}{x^{3}+4 x^{2}+x -{\mathrm e}^{2 x}-4}$&$27$\\ \hline \end{longtable}"," ",0,"(x^2+x-3)/(x^3+4*x^2+x-exp(2*x)-4)","A"
3017,1,17,22,0.097000," ","int((8*x^2-22*x+4)/(25*x^5-150*x^4+300*x^3-200*x^2)/exp(-x+21/4)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{4 x -21}}{25 x \left(x -2\right)^{2}}$&$17$\\ norman&$\frac{2 \,{\mathrm e}^{4 x -21}}{25 x \left(x -2\right)^{2}}$&$19$\\ gosper&$\frac{2 \,{\mathrm e}^{4 x -21}}{25 x \left(x^{2}-4 x +4\right)}$&$24$\\ derivativedivides&$\frac{109 \,{\mathrm e}^{4 x -21} \left(16 \left(-x +\frac{21}{4}\right)^{2}+184 x -505\right)}{50 \left(64 \left(-x +\frac{21}{4}\right)^{3}-752 \left(-x +\frac{21}{4}\right)^{2}-2860 x +11466\right)}+\frac{31 \,{\mathrm e}^{4 x -21} \left(48 \left(-x +\frac{21}{4}\right)^{2}-472 x +21\right)}{100 \left(64 \left(-x +\frac{21}{4}\right)^{3}-752 \left(-x +\frac{21}{4}\right)^{2}-2860 x +11466\right)}-\frac{{\mathrm e}^{4 x -21} \left(4976 \left(-x +\frac{21}{4}\right)^{2}+25480 x -108927\right)}{100 \left(64 \left(-x +\frac{21}{4}\right)^{3}-752 \left(-x +\frac{21}{4}\right)^{2}-2860 x +11466\right)}$&$143$\\ default&$\frac{109 \,{\mathrm e}^{4 x -21} \left(16 \left(-x +\frac{21}{4}\right)^{2}+184 x -505\right)}{50 \left(64 \left(-x +\frac{21}{4}\right)^{3}-752 \left(-x +\frac{21}{4}\right)^{2}-2860 x +11466\right)}+\frac{31 \,{\mathrm e}^{4 x -21} \left(48 \left(-x +\frac{21}{4}\right)^{2}-472 x +21\right)}{100 \left(64 \left(-x +\frac{21}{4}\right)^{3}-752 \left(-x +\frac{21}{4}\right)^{2}-2860 x +11466\right)}-\frac{{\mathrm e}^{4 x -21} \left(4976 \left(-x +\frac{21}{4}\right)^{2}+25480 x -108927\right)}{100 \left(64 \left(-x +\frac{21}{4}\right)^{3}-752 \left(-x +\frac{21}{4}\right)^{2}-2860 x +11466\right)}$&$143$\\ \hline \end{longtable}"," ",0,"2/25/x/(x-2)^2*exp(4*x-21)","A"
3018,1,38,25,0.040000," ","int(1/9*((-x^3-x^2+4*x)*exp(x)+4*x^3-6*x^2-6*x+6)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{-3} \left(6 x +2 \,{\mathrm e}^{x} x^{2}-{\mathrm e}^{x} x^{3}-3 x^{2}-2 x^{3}+x^{4}\right)}{9}$&$38$\\ risch&$\frac{{\mathrm e}^{-3} x^{4}}{9}-\frac{2 \,{\mathrm e}^{-3} x^{3}}{9}-\frac{x^{2} {\mathrm e}^{-3}}{3}+\frac{2 \,{\mathrm e}^{-3} x}{3}+\frac{\left(-x^{3}+2 x^{2}\right) {\mathrm e}^{x -3}}{9}$&$45$\\ norman&$\frac{2 \,{\mathrm e}^{-3} x}{3}-\frac{x^{2} {\mathrm e}^{-3}}{3}-\frac{2 \,{\mathrm e}^{-3} x^{3}}{9}+\frac{{\mathrm e}^{-3} x^{4}}{9}+\frac{2 x^{2} {\mathrm e}^{-3} {\mathrm e}^{x}}{9}-\frac{{\mathrm e}^{-3} x^{3} {\mathrm e}^{x}}{9}$&$58$\\ \hline \end{longtable}"," ",0,"1/9/exp(3)*(6*x+2*exp(x)*x^2-exp(x)*x^3-3*x^2-2*x^3+x^4)","A"
3019,1,24,19,0.074000," ","int((6*x-3)*exp((-3*exp(3)*exp(exp(4))^2+3*x^2-3*x)/exp(exp(4))^2)/exp(exp(4))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-3 \left({\mathrm e}^{3} {\mathrm e}^{2 \,{\mathrm e}^{4}}-x^{2}+x \right) {\mathrm e}^{-2 \,{\mathrm e}^{4}}}$&$24$\\ risch&${\mathrm e}^{3 \left(x^{2}-{\mathrm e}^{3+2 \,{\mathrm e}^{4}}-x \right) {\mathrm e}^{-2 \,{\mathrm e}^{4}}}$&$25$\\ derivativedivides&${\mathrm e}^{\left(-3 \,{\mathrm e}^{3} {\mathrm e}^{2 \,{\mathrm e}^{4}}+3 x^{2}-3 x \right) {\mathrm e}^{-2 \,{\mathrm e}^{4}}}$&$26$\\ norman&${\mathrm e}^{\left(-3 \,{\mathrm e}^{3} {\mathrm e}^{2 \,{\mathrm e}^{4}}+3 x^{2}-3 x \right) {\mathrm e}^{-2 \,{\mathrm e}^{4}}}$&$26$\\ default&${\mathrm e}^{-2 \,{\mathrm e}^{4}} {\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e}^{3 \,{\mathrm e}^{-2 \,{\mathrm e}^{4}} x^{2}-3 \,{\mathrm e}^{-2 \,{\mathrm e}^{4}} x -3 \,{\mathrm e}^{3}}$&$38$\\ \hline \end{longtable}"," ",0,"exp(-3*(exp(3)*exp(exp(4))^2-x^2+x)/exp(exp(4))^2)","A"
3020,1,10,14,0.045000," ","int(-32*ln(3)/x^2/exp(2*ln(3)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-16 \,9^{-\frac{1}{x}}$&$10$\\ gosper&$-16 \,{\mathrm e}^{-\frac{2 \ln \left(3\right)}{x}}$&$13$\\ derivativedivides&$-16 \,{\mathrm e}^{-\frac{2 \ln \left(3\right)}{x}}$&$13$\\ default&$-16 \,{\mathrm e}^{-\frac{2 \ln \left(3\right)}{x}}$&$13$\\ norman&$-16 \,{\mathrm e}^{-\frac{2 \ln \left(3\right)}{x}}$&$13$\\ meijerg&$16-16 \,{\mathrm e}^{-\frac{2 \ln \left(3\right)}{x}}$&$13$\\ \hline \end{longtable}"," ",0,"-16/(9^(1/x))","A"
3021,1,32,17,0.123000," ","int(((-x*ln(x^2)+2+x)*ln(ln(3))-x^2*ln(x^2)+x^2+2*x+2)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(x \ln \left(x^{2}\right)+\left(1+\ln \left(\ln \left(3\right)\right)\right) \ln \left(x^{2}\right)-x -1-\ln \left(\ln \left(3\right)\right)\right) {\mathrm e}^{-x}$&$32$\\ default&$\left(\left(\ln \left(x^{2}\right)-2 \ln \left(x \right)-1\right) x +\left(2 \ln \left(\ln \left(3\right)\right)+2\right) \ln \left(x \right)+2 x \ln \left(x \right)-1+\ln \left(x^{2}\right)-2 \ln \left(x \right)+\ln \left(\ln \left(3\right)\right) \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right)-\ln \left(\ln \left(3\right)\right)\right) {\mathrm e}^{-x}$&$61$\\ risch&$2 \left(x +1+\ln \left(\ln \left(3\right)\right)\right) {\mathrm e}^{-x} \ln \left(x \right)-\frac{i \left(\ln \left(\ln \left(3\right)\right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \ln \left(\ln \left(3\right)\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\ln \left(\ln \left(3\right)\right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+x \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+x \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(\ln \left(3\right)\right)-2 i x -2 i\right) {\mathrm e}^{-x}}{2}$&$180$\\ \hline \end{longtable}"," ",0,"(x*ln(x^2)+(1+ln(ln(3)))*ln(x^2)-x-1-ln(ln(3)))/exp(x)","A"
3022,1,12,19,0.039000," ","int((ln(5)*ln(4*x)-ln(5))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(4 x \right) \ln \left(5\right)}{x}$&$12$\\ risch&$-\frac{\ln \left(4 x \right) \ln \left(5\right)}{x}$&$12$\\ derivativedivides&$4 \ln \left(5\right) \left(-\frac{\ln \left(4 x \right)}{4 x}-\frac{1}{4 x}\right)+\frac{\ln \left(5\right)}{x}$&$27$\\ default&$4 \ln \left(5\right) \left(-\frac{\ln \left(4 x \right)}{4 x}-\frac{1}{4 x}\right)+\frac{\ln \left(5\right)}{x}$&$27$\\ \hline \end{longtable}"," ",0,"-ln(4*x)*ln(5)/x","A"
3023,1,45,35,0.036000," ","int(((-9*x^9-12*x^6+x)*ln(x)^2-5*ln(3))/((x^10+2*x^7-x^2)*ln(x)^2-5*x*ln(3)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x^{9}+2 x^{6}-x \right)+\ln \left(\ln \left(x \right)\right)-\ln \left(\ln \left(x \right)-\frac{5 \ln \left(3\right)}{x \left(x^{8}+2 x^{5}-1\right)}\right)$&$45$\\ \hline \end{longtable}"," ",0,"-ln(x^9+2*x^6-x)+ln(ln(x))-ln(ln(x)-5*ln(3)/x/(x^8+2*x^5-1))","A"
3024,1,25,21,0.158000," ","int(((16*ln(3)+16)*exp(((x+exp(1))*ln(3)+x)/ln(3))*exp(exp(((x+exp(1))*ln(3)+x)/ln(3))+4)-16*ln(3))/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-16 x +16 \,{\mathrm e}^{{\mathrm e}^{\frac{\left(x +{\mathrm e}\right) \ln \left(3\right)+x}{\ln \left(3\right)}}+4}$&$25$\\ risch&$-16 x +16 \,{\mathrm e}^{{\mathrm e}^{\frac{\ln \left(3\right) {\mathrm e}+x \ln \left(3\right)+x}{\ln \left(3\right)}}+4}$&$27$\\ default&$\frac{\frac{16 \,{\mathrm e}^{{\mathrm e}^{\frac{\left(x +{\mathrm e}\right) \ln \left(3\right)+x}{\ln \left(3\right)}}+4} \ln \left(3\right)^{2}}{\ln \left(3\right)+1}+\frac{16 \,{\mathrm e}^{{\mathrm e}^{\frac{\left(x +{\mathrm e}\right) \ln \left(3\right)+x}{\ln \left(3\right)}}+4} \ln \left(3\right)}{\ln \left(3\right)+1}-16 x \ln \left(3\right)}{\ln \left(3\right)}$&$70$\\ derivativedivides&$\frac{-16 \ln \left(3\right) \ln \left({\mathrm e}^{\frac{\left(x +{\mathrm e}\right) \ln \left(3\right)+x}{\ln \left(3\right)}}\right)+16 \,{\mathrm e}^{{\mathrm e}^{\frac{\left(x +{\mathrm e}\right) \ln \left(3\right)+x}{\ln \left(3\right)}}+4}+16 \,{\mathrm e}^{{\mathrm e}^{\frac{\left(x +{\mathrm e}\right) \ln \left(3\right)+x}{\ln \left(3\right)}}+4} \ln \left(3\right)}{\ln \left(3\right)+1}$&$71$\\ \hline \end{longtable}"," ",0,"-16*x+16*exp(exp(((x+exp(1))*ln(3)+x)/ln(3))+4)","A"
3025,1,39,32,0.023000," ","int(1/20*(-16*ln(x)^2+(16*x^3-32*x^2+32)*ln(x)+5*x^6-32*x^5+36*x^4+40*x^3-32*x^2-12*x)/x/exp(1/4*(-16*ln(x)^2+(-8*x^3+32*x^2+16*x)*ln(x)-x^6+8*x^5-12*x^4-16*x^3)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{\frac{\left(x^{3}-4 x^{2}+4 \ln \left(x \right)\right) \left(x^{3}-4 x^{2}+4 \ln \left(x \right)-4 x \right)}{4 x}}}{5}$&$39$\\ \hline \end{longtable}"," ",0,"1/5*x*exp(1/4*(x^3-4*x^2+4*ln(x))*(x^3-4*x^2+4*ln(x)-4*x)/x)","A"
3026,1,21,24,0.523000," ","int((-x^2-16*x)/((x^2+16*x+64)*exp(3)^2*exp(5)^2+(-8*x^2-128*x-512)*exp(3)^2*exp(5)+(16*x^2+256*x+1024)*exp(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{{\mathrm e}^{-6} x^{2}}{\left({\mathrm e}^{5}-4\right)^{2} \left(x +8\right)}$&$21$\\ default&$\frac{{\mathrm e}^{-6} \left(-x -\frac{64}{x +8}\right)}{-8 \,{\mathrm e}^{5}+{\mathrm e}^{10}+16}$&$29$\\ gosper&$-\frac{x^{2} {\mathrm e}^{-6}}{x \,{\mathrm e}^{10}+8 \,{\mathrm e}^{10}-8 x \,{\mathrm e}^{5}-64 \,{\mathrm e}^{5}+16 x +128}$&$38$\\ meijerg&$-\frac{8 \left(\frac{x \left(\frac{3 x}{8}+6\right)}{24+3 x}-2 \ln \left(1+\frac{x}{8}\right)\right)}{{\mathrm e}^{16}-8 \,{\mathrm e}^{11}+16 \,{\mathrm e}^{6}}-\frac{16 \left(-\frac{x}{8 \left(1+\frac{x}{8}\right)}+\ln \left(1+\frac{x}{8}\right)\right)}{{\mathrm e}^{16}-8 \,{\mathrm e}^{11}+16 \,{\mathrm e}^{6}}$&$73$\\ risch&$-\frac{x}{{\mathrm e}^{16}-8 \,{\mathrm e}^{11}+16 \,{\mathrm e}^{6}}-\frac{64 \,{\mathrm e}^{-6} {\mathrm e}^{16}}{\left({\mathrm e}^{16}-8 \,{\mathrm e}^{11}+16 \,{\mathrm e}^{6}\right) \left(x \,{\mathrm e}^{10}+8 \,{\mathrm e}^{10}-8 x \,{\mathrm e}^{5}-64 \,{\mathrm e}^{5}+16 x +128\right)}+\frac{512 \,{\mathrm e}^{-6} {\mathrm e}^{11}}{\left({\mathrm e}^{16}-8 \,{\mathrm e}^{11}+16 \,{\mathrm e}^{6}\right) \left(x \,{\mathrm e}^{10}+8 \,{\mathrm e}^{10}-8 x \,{\mathrm e}^{5}-64 \,{\mathrm e}^{5}+16 x +128\right)}-\frac{1024 \,{\mathrm e}^{-6} {\mathrm e}^{6}}{\left({\mathrm e}^{16}-8 \,{\mathrm e}^{11}+16 \,{\mathrm e}^{6}\right) \left(x \,{\mathrm e}^{10}+8 \,{\mathrm e}^{10}-8 x \,{\mathrm e}^{5}-64 \,{\mathrm e}^{5}+16 x +128\right)}$&$147$\\ \hline \end{longtable}"," ",0,"-1/exp(3)^2/(exp(5)-4)^2*x^2/(x+8)","A"
3027,1,16,14,0.465000," ","int((12*exp(1)+9*x-8)/(6*x*exp(1)+3*x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x \right)+\ln \left(6 \,{\mathrm e}+3 x -4\right)$&$16$\\ norman&$2 \ln \left(x \right)+\ln \left(6 \,{\mathrm e}+3 x -4\right)$&$16$\\ risch&$2 \ln \left(x \right)+\ln \left(6 \,{\mathrm e}+3 x -4\right)$&$16$\\ meijerg&$\frac{18 \,{\mathrm e} \left(2 \,{\mathrm e}-\frac{4}{3}\right) \left(\ln \left(x \right)+\ln \left(3\right)-\ln \left(2\right)-\ln \left(3 \,{\mathrm e}-2\right)-\ln \left(1+\frac{3 x}{2 \left(3 \,{\mathrm e}-2\right)}\right)\right)}{\left(3 \,{\mathrm e}-2\right) \left(6 \,{\mathrm e}-4\right)}+\frac{9 \left(2 \,{\mathrm e}-\frac{4}{3}\right) \ln \left(1+\frac{3 x}{2 \left(3 \,{\mathrm e}-2\right)}\right)}{6 \,{\mathrm e}-4}-\frac{12 \left(2 \,{\mathrm e}-\frac{4}{3}\right) \left(\ln \left(x \right)+\ln \left(3\right)-\ln \left(2\right)-\ln \left(3 \,{\mathrm e}-2\right)-\ln \left(1+\frac{3 x}{2 \left(3 \,{\mathrm e}-2\right)}\right)\right)}{\left(6 \,{\mathrm e}-4\right) \left(3 \,{\mathrm e}-2\right)}$&$150$\\ \hline \end{longtable}"," ",0,"2*ln(x)+ln(6*exp(1)+3*x-4)","A"
3028,1,24,19,0.039000," ","int((-x*exp(3)*exp(x)+(2*x^2+x-1)*exp(3))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2} {\mathrm e}^{3}-\ln \left(x \right) {\mathrm e}^{3}-{\mathrm e}^{x} {\mathrm e}^{3}+x \,{\mathrm e}^{3}$&$24$\\ norman&$x^{2} {\mathrm e}^{3}-\ln \left(x \right) {\mathrm e}^{3}-{\mathrm e}^{x} {\mathrm e}^{3}+x \,{\mathrm e}^{3}$&$24$\\ risch&$x^{2} {\mathrm e}^{3}-\ln \left(x \right) {\mathrm e}^{3}-{\mathrm e}^{3+x}+x \,{\mathrm e}^{3}$&$24$\\ \hline \end{longtable}"," ",0,"x^2*exp(3)-ln(x)*exp(3)-exp(x)*exp(3)+x*exp(3)","A"
3029,1,16,19,0.033000," ","int((-25*x^4*ln(x)*ln(ln(x))+(30*x^5+1)*ln(x)-5*x^4)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x^{6}-5 x^{5} \ln \left(\ln \left(x \right)\right)+x$&$16$\\ \hline \end{longtable}"," ",0,"5*x^6-5*x^5*ln(ln(x))+x","A"
3030,1,15,17,0.024000," ","int(((7*exp(x)+2)*exp(2*x)^2+4)/exp(2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -{\mathrm e}^{-4 x}+7 \,{\mathrm e}^{x}$&$15$\\ risch&$2 x -{\mathrm e}^{-4 x}+7 \,{\mathrm e}^{x}$&$15$\\ norman&$\left(-1+7 \,{\mathrm e}^{5 x}+2 x \,{\mathrm e}^{4 x}\right) {\mathrm e}^{-4 x}$&$21$\\ \hline \end{longtable}"," ",0,"2*x-1/exp(x)^4+7*exp(x)","A"
3031,1,38,25,0.085000," ","int(((-2*x^6-20*x^5-50*x^4+8*x^2+80*x+200)*exp(exp(1))-5*x^6-2*x^5+10*x^4-54*x^3-100*x^2-100*x+40)/(x^8+10*x^7+19*x^6-60*x^5-138*x^4+120*x^3+292*x^2-80*x-200),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5}{5+x}-\frac{2 \left(-x^{3} {\mathrm e}^{{\mathrm e}}-\frac{x^{2}}{2}+2 x \,{\mathrm e}^{{\mathrm e}}\right)}{\left(x^{2}-2\right)^{2}}$&$38$\\ norman&$\frac{-20 x \,{\mathrm e}^{{\mathrm e}}+\left(-4 \,{\mathrm e}^{{\mathrm e}}-15\right) x^{2}+\left(10 \,{\mathrm e}^{{\mathrm e}}+1\right) x^{3}+\left(2 \,{\mathrm e}^{{\mathrm e}}+5\right) x^{4}+20}{\left(5+x \right) \left(x^{2}-2\right)^{2}}$&$55$\\ risch&$\frac{-20 x \,{\mathrm e}^{{\mathrm e}}+\left(-4 \,{\mathrm e}^{{\mathrm e}}-15\right) x^{2}+\left(10 \,{\mathrm e}^{{\mathrm e}}+1\right) x^{3}+\left(2 \,{\mathrm e}^{{\mathrm e}}+5\right) x^{4}+20}{x^{5}+5 x^{4}-4 x^{3}-20 x^{2}+4 x +20}$&$68$\\ gosper&$\frac{2 x^{4} {\mathrm e}^{{\mathrm e}}+10 x^{3} {\mathrm e}^{{\mathrm e}}+5 x^{4}-4 x^{2} {\mathrm e}^{{\mathrm e}}+x^{3}-20 x \,{\mathrm e}^{{\mathrm e}}-15 x^{2}+20}{x^{5}+5 x^{4}-4 x^{3}-20 x^{2}+4 x +20}$&$72$\\ \hline \end{longtable}"," ",0,"5/(5+x)-2*(-x^3*exp(exp(1))-1/2*x^2+2*x*exp(exp(1)))/(x^2-2)^2","A"
3032,1,22,19,0.024000," ","int((8*x^2-2*x-8)/(x^2*ln(x)-4*x^3-6*x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(\ln \left(x \right)-\frac{2 \left(2 x^{2}+3 x +2\right)}{x}\right)$&$22$\\ norman&$2 \ln \left(x \right)-2 \ln \left(4 x^{2}-x \ln \left(x \right)+6 x +4\right)$&$24$\\ \hline \end{longtable}"," ",0,"-2*ln(ln(x)-2*(2*x^2+3*x+2)/x)","A"
3033,1,51,20,0.041000," ","int((2*x^6+8*x^5+5*x^4)*exp(x)^2+(-8*x^6-58*x^5-52*x^4-8*x^3)*exp(x)+96*x^5+120*x^4+36*x^3+3*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{6}+x^{5}\right) {\mathrm e}^{2 x}+\left(-8 x^{6}-10 x^{5}-2 x^{4}\right) {\mathrm e}^{x}+16 x^{6}+24 x^{5}+9 x^{4}+x^{3}$&$51$\\ default&$x^{5} {\mathrm e}^{2 x}+x^{6} {\mathrm e}^{2 x}-10 x^{5} {\mathrm e}^{x}-2 \,{\mathrm e}^{x} x^{4}-8 x^{6} {\mathrm e}^{x}+x^{3}+9 x^{4}+24 x^{5}+16 x^{6}$&$57$\\ norman&$x^{5} {\mathrm e}^{2 x}+x^{6} {\mathrm e}^{2 x}-10 x^{5} {\mathrm e}^{x}-2 \,{\mathrm e}^{x} x^{4}-8 x^{6} {\mathrm e}^{x}+x^{3}+9 x^{4}+24 x^{5}+16 x^{6}$&$57$\\ \hline \end{longtable}"," ",0,"(x^6+x^5)*exp(2*x)+(-8*x^6-10*x^5-2*x^4)*exp(x)+16*x^6+24*x^5+9*x^4+x^3","B"
3034,1,30,26,0.125000," ","int(((3*x^6-3*x^5-9*x^4-3*x^3-x^2-2*x-2)*exp(x)+6*x^6+6*x^5+2*x^2+3*x)*exp((-3*x^5-6*x^4-3*x^3+x+1)/(5*exp(x)*x^2-5*x^3))/(5*exp(x)^2*x^3-10*exp(x)*x^4+5*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{\left(x +1\right) \left(3 x^{4}+3 x^{3}-1\right)}{5 x^{2} \left({\mathrm e}^{x}-x \right)}}$&$30$\\ \hline \end{longtable}"," ",0,"exp(-1/5*(x+1)*(3*x^4+3*x^3-1)/x^2/(exp(x)-x))","A"
3035,1,1827,30,0.546000," ","int((-x*ln(x^2/exp(x^4*ln(5)^2+4*x^2*ln(5)+4))^2+(-8*x^4*ln(5)^2-16*x^2*ln(5)+4)*ln(x^2/exp(x^4*ln(5)^2+4*x^2*ln(5)+4))-x*ln(x)+exp(x)*x+1)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-x} \ln \left(625^{x^{2}} {\mathrm e}^{x^{4} \ln \left(5\right)^{2}+4}\right)^{2}-\left(-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{3}+4 \ln \left(x \right)\right) {\mathrm e}^{-x} \ln \left(625^{x^{2}} {\mathrm e}^{x^{4} \ln \left(5\right)^{2}+4}\right)+\frac{\left(4 \ln \left(x \right)+16 \ln \left(x \right)^{2}+4 \,{\mathrm e}^{x} x -8 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} \ln \left(x \right)+2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{2}-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{2} \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{3}-8 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{3}-2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{2}-4 \pi^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{3}+2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{2} \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{3}-\pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}-\pi^{2} \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{6}+4 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-6 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{5}+2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{3}-\pi^{2} \mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{2} \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{5}-8 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \ln \left(x \right)-2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)+2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{2}-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{2}+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)+8 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{2}+8 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)^{2}-8 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right) \mathrm{csgn}\left(i x^{2} 625^{-x^{2}} {\mathrm e}^{-x^{4} \ln \left(5\right)^{2}-4}\right)+16 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \ln \left(x \right)\right) {\mathrm e}^{-x}}{4}$&$1827$\\ \hline \end{longtable}"," ",0,"exp(-x)*ln(625^(x^2)*exp(x^4*ln(5)^2+4))^2-(-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3-I*Pi*csgn(I*x^2)*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))+I*Pi*csgn(I*x^2)*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^2+I*Pi*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^2-I*Pi*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^3+4*ln(x))*exp(-x)*ln(625^(x^2)*exp(x^4*ln(5)^2+4))+1/4*(4*ln(x)+16*ln(x)^2-2*Pi^2*csgn(I*x)^2*csgn(I*x^2)^2*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))+2*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^2+4*exp(x)*x-8*I*Pi*csgn(I*x^2)^3*ln(x)-Pi^2*csgn(I*x^2)^6+4*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^3-8*I*ln(x)*Pi*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^3-2*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^3-4*Pi^2*csgn(I*x)*csgn(I*x^2)^3*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^2-4*Pi^2*csgn(I*x^2)*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^4+2*Pi^2*csgn(I*x)^2*csgn(I*x^2)^2*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^2+2*Pi^2*csgn(I*x^2)^2*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^3+2*Pi^2*csgn(I*x^2)*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))^2*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^3+2*Pi^2*csgn(I*x^2)^3*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^2-Pi^2*csgn(I*x^2)^2*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))^2*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^2-2*Pi^2*csgn(I*x^2)^4*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))-Pi^2*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^6-Pi^2*csgn(I*x)^4*csgn(I*x^2)^2+4*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3-6*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4+4*Pi^2*csgn(I*x)*csgn(I*x^2)^5-4*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^2-Pi^2*csgn(I*x^2)^2*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^4+2*Pi^2*csgn(I*x^2)*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^5+2*Pi^2*csgn(I*x^2)^4*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^2-2*Pi^2*csgn(I*x^2)^3*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^3-8*I*Pi*csgn(I*x)^2*csgn(I*x^2)*ln(x)+16*I*Pi*csgn(I*x)*csgn(I*x^2)^2*ln(x)+4*Pi^2*csgn(I*x)*csgn(I*x^2)^3*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))+8*I*ln(x)*Pi*csgn(I*x^2)*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^2+8*I*ln(x)*Pi*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^2-8*I*ln(x)*Pi*csgn(I*x^2)*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))-Pi^2*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))^2*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^4+2*Pi^2*csgn(I/(625^(x^2))*exp(-x^4*ln(5)^2-4))*csgn(I*x^2/(625^(x^2))*exp(-x^4*ln(5)^2-4))^5)*exp(-x)","C"
3036,1,23,32,0.464000," ","int(((5*x^3-15*x^2+100*x-300)*ln((3-x)/x)^2-15*x)/(x^3-3*x^2)/ln((3-x)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{5}{\ln \left(\frac{3}{x}-1\right)}-\frac{100}{x}+\frac{100}{3}+5 x$&$23$\\ default&$\frac{5}{\ln \left(\frac{3}{x}-1\right)}-\frac{100}{x}+\frac{100}{3}+5 x$&$23$\\ risch&$\frac{5 x^{2}-100}{x}+\frac{5}{\ln \left(\frac{3-x}{x}\right)}$&$26$\\ norman&$\frac{5 x +5 x^{2} \ln \left(\frac{3-x}{x}\right)-100 \ln \left(\frac{3-x}{x}\right)}{x \ln \left(\frac{3-x}{x}\right)}$&$48$\\ \hline \end{longtable}"," ",0,"5/ln(3/x-1)-100/x+100/3+5*x","A"
3037,1,27,20,0.471000," ","int(((60*x*exp(1)-40)*ln(5)*ln(1/3*(-3*x*exp(1)+2)/x)+(-120*x*exp(1)+60)*ln(5))/(3*x^4*exp(1)-2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-10 \ln \left(5\right) \ln \left(\frac{-3 x \,{\mathrm e}+2}{3 x}\right)+20 \ln \left(5\right)}{x^{2}}$&$27$\\ risch&$-\frac{10 \ln \left(5\right) \ln \left(\frac{-3 x \,{\mathrm e}+2}{3 x}\right)}{x^{2}}+\frac{20 \ln \left(5\right)}{x^{2}}$&$29$\\ derivativedivides&$-45 \ln \left(5\right) \left(\frac{\left(\frac{2}{3 x}-{\mathrm e}\right)^{2} \ln \left(\frac{2}{3 x}-{\mathrm e}\right)}{2}-\frac{\left(\frac{2}{3 x}-{\mathrm e}\right)^{2}}{4}\right)+45 \,{\mathrm e} \ln \left(5\right) \left(\frac{2}{3 x}-{\mathrm e}\right)+\frac{135 \ln \left(5\right) \left(\frac{2}{3 x}-{\mathrm e}\right)^{2}}{4}-45 \,{\mathrm e} \ln \left(5\right) \left(\left(\frac{2}{3 x}-{\mathrm e}\right) \ln \left(\frac{2}{3 x}-{\mathrm e}\right)+{\mathrm e}-\frac{2}{3 x}\right)-\frac{45 \,{\mathrm e}^{2} \ln \left(5\right) \ln \left(\frac{2}{3 x}-{\mathrm e}\right)}{2}$&$133$\\ default&$-45 \ln \left(5\right) \left(\frac{\left(\frac{2}{3 x}-{\mathrm e}\right)^{2} \ln \left(\frac{2}{3 x}-{\mathrm e}\right)}{2}-\frac{\left(\frac{2}{3 x}-{\mathrm e}\right)^{2}}{4}\right)+45 \,{\mathrm e} \ln \left(5\right) \left(\frac{2}{3 x}-{\mathrm e}\right)+\frac{135 \ln \left(5\right) \left(\frac{2}{3 x}-{\mathrm e}\right)^{2}}{4}-45 \,{\mathrm e} \ln \left(5\right) \left(\left(\frac{2}{3 x}-{\mathrm e}\right) \ln \left(\frac{2}{3 x}-{\mathrm e}\right)+{\mathrm e}-\frac{2}{3 x}\right)-\frac{45 \,{\mathrm e}^{2} \ln \left(5\right) \ln \left(\frac{2}{3 x}-{\mathrm e}\right)}{2}$&$133$\\ \hline \end{longtable}"," ",0,"(-10*ln(5)*ln(1/3*(-3*x*exp(1)+2)/x)+20*ln(5))/x^2","A"
3038,1,25,28,0.085000," ","int(1/4*(exp(ln(3/x)-4)-4)*exp(1/4*exp(ln(3/x)-4)+4)+1/4*(4*x+4)*exp(x)+2*x+6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+{\mathrm e}^{x} x +6 x -x \,{\mathrm e}^{\frac{3 \,{\mathrm e}^{-4}}{4 x}+4}$&$25$\\ risch&$x^{2}+{\mathrm e}^{x} x +6 x -x \,{\mathrm e}^{\frac{3 \,{\mathrm e}^{-4}+16 x}{4 x}}$&$29$\\ default&$x^{2}+6 x +{\mathrm e}^{x} x -{\mathrm e}^{\frac{{\mathrm e}^{-4+\ln \left(\frac{3}{x}\right)+\ln \left(x \right)}}{4 x}+4} x$&$34$\\ \hline \end{longtable}"," ",0,"x^2+exp(x)*x+6*x-x*exp(3/4*exp(-4)/x+4)","A"
3039,1,48,27,0.073000," ","int((4*x^3*exp(5)^2+(32*x^6+32*x^4+6*x^2)*exp(5)+128*x^7-256*x^6+96*x^5-192*x^4+24*x^3-48*x^2+2*x-4)/(64*x^6+48*x^4+12*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+\frac{x \,{\mathrm e}^{5}}{2}-4 x +\frac{-2 x^{3} {\mathrm e}^{5}-\frac{x^{2} {\mathrm e}^{10}}{2}-\frac{x \,{\mathrm e}^{5}}{2}-\frac{{\mathrm e}^{10}}{16}}{\left(4 x^{2}+1\right)^{2}}$&$48$\\ risch&$\frac{x \,{\mathrm e}^{5}}{2}+x^{2}-4 x +\frac{-\frac{x^{2} {\mathrm e}^{10}}{32}-\frac{x^{3} {\mathrm e}^{5}}{8}-\frac{{\mathrm e}^{10}}{256}-\frac{x \,{\mathrm e}^{5}}{32}}{x^{4}+\frac{1}{2} x^{2}+\frac{1}{16}}$&$50$\\ norman&$\frac{\left(-64+8 \,{\mathrm e}^{5}\right) x^{5}+\left(-32+2 \,{\mathrm e}^{5}\right) x^{3}+x^{2}+\left({\mathrm e}^{10}+8\right) x^{4}-4 x +16 x^{6}}{\left(4 x^{2}+1\right)^{2}}$&$53$\\ gosper&$\frac{x \left(x^{3} {\mathrm e}^{10}+8 x^{4} {\mathrm e}^{5}+16 x^{5}-64 x^{4}+2 x^{2} {\mathrm e}^{5}+8 x^{3}-32 x^{2}+x -4\right)}{16 x^{4}+8 x^{2}+1}$&$62$\\ \hline \end{longtable}"," ",0,"x^2+1/2*x*exp(5)-4*x+8*(-1/4*x^3*exp(5)-1/16*x^2*exp(10)-1/16*x*exp(5)-1/128*exp(10))/(4*x^2+1)^2","A"
3040,1,9,10,0.025000," ","int((-25*x-75)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-25 x -75 \ln \left(x \right)$&$9$\\ norman&$-25 x -75 \ln \left(x \right)$&$9$\\ risch&$-25 x -75 \ln \left(x \right)$&$9$\\ \hline \end{longtable}"," ",0,"-25*x-75*ln(x)","A"
3041,1,22,21,0.091000," ","int(1/5*((150*exp(x)*x^2-24*x^2+18*x)*ln(x)+75*exp(x)*x^2+24*x+6)*exp(1/5*(75*exp(x)*x^2+24*x+6)*ln(x)/exp(x))/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{15 x^{2}+\frac{24 x \,{\mathrm e}^{-x}}{5}+\frac{6 \,{\mathrm e}^{-x}}{5}}$&$22$\\ \hline \end{longtable}"," ",0,"x^(15*x^2+24/5*x*exp(-x)+6/5*exp(-x))","A"
3042,1,30,24,0.081000," ","int((((32*x^4-48*x^3+18*x^2)*exp(3/2/x)-144*x^2+216*x-81)*exp((x*exp(3/2/x)-3)/exp(3/2/x))+(-320*x^4+480*x^3)*exp(3/2/x))/(32*x^4-48*x^3+18*x^2)/exp(3/2/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-10 x -\frac{45}{8 \left(x -\frac{3}{4}\right)}+{\mathrm e}^{\left(x \,{\mathrm e}^{\frac{3}{2 x}}-3\right) {\mathrm e}^{-\frac{3}{2 x}}}$&$30$\\ norman&$\frac{\left(-40 \,{\mathrm e}^{\frac{3}{2 x}} x^{3}+4 x^{2} {\mathrm e}^{\left(x \,{\mathrm e}^{\frac{3}{2 x}}-3\right) {\mathrm e}^{-\frac{3}{2 x}}} {\mathrm e}^{\frac{3}{2 x}}-3 \,{\mathrm e}^{\frac{3}{2 x}} {\mathrm e}^{\left(x \,{\mathrm e}^{\frac{3}{2 x}}-3\right) {\mathrm e}^{-\frac{3}{2 x}}} x \right) {\mathrm e}^{-\frac{3}{2 x}}}{x \left(4 x -3\right)}$&$92$\\ \hline \end{longtable}"," ",0,"-10*x-45/8/(x-3/4)+exp((x*exp(3/2/x)-3)*exp(-3/2/x))","A"
3043,1,1971,36,0.449000," ","int(((((-10*x^3+100*x^2-250*x)*exp(x)-50*x^2+500*x-1250)*ln(x)+(-10*x^5+100*x^4-250*x^3)*exp(x)+50*x^4-500*x^3+1300*x^2-500*x+1250)*ln(1/2*(ln(x)+x^2)/x)+((2*x^3-20*x^2+50*x)*exp(x)^2+(10*x^2-100*x+250)*exp(x)-x^3+10*x^2-15*x)*ln(x)+(2*x^5-20*x^4+50*x^3)*exp(x)^2+(-10*x^4+100*x^3-260*x^2+100*x-250)*exp(x)-x^5+10*x^4-15*x^3)/((x^3-10*x^2+25*x)*ln(x)+x^5-10*x^4+25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$1971$\\ \hline \end{longtable}"," ",0,"25*ln(ln(x)+x^2)^2+(-50*ln(x)-10*exp(x))*ln(ln(x)+x^2)-(10-5*x-10*x*exp(x)*ln(x)+5*exp(2*x)+125*ln(x)^2+x^2+50*exp(x)*ln(2)-x*exp(2*x)+50*exp(x)*ln(x)-25*x*ln(x)^2+125*I*Pi*ln((Pi*csgn(I/x*(ln(x)+x^2))^3-Pi*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2-Pi*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2-2*I*ln(2)+Pi*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2)))*x)*csgn(I/x*(ln(x)+x^2))^3-125*I*Pi*ln(ln(x)+x^2)*csgn(I/x*(ln(x)+x^2))^3+25*I*Pi*csgn(I/x*(ln(x)+x^2))^3*exp(x)-10*x*ln(2)*exp(x)+50*ln(2)*ln(ln(x)+x^2)*x+250*ln(2)*ln((Pi*csgn(I/x*(ln(x)+x^2))^3-Pi*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2-Pi*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2-2*I*ln(2)+Pi*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2)))*x)-50*ln(2)*ln((Pi*csgn(I/x*(ln(x)+x^2))^3-Pi*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2-Pi*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2-2*I*ln(2)+Pi*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2)))*x)*x-250*ln(2)*ln(ln(x)+x^2)-25*I*Pi*ln((Pi*csgn(I/x*(ln(x)+x^2))^3-Pi*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2-Pi*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2-2*I*ln(2)+Pi*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2)))*x)*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))*x+25*I*Pi*ln(ln(x)+x^2)*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))*x-5*I*Pi*x*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))*exp(x)-25*I*Pi*ln((Pi*csgn(I/x*(ln(x)+x^2))^3-Pi*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2-Pi*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2-2*I*ln(2)+Pi*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2)))*x)*csgn(I/x*(ln(x)+x^2))^3*x-125*I*Pi*ln((Pi*csgn(I/x*(ln(x)+x^2))^3-Pi*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2-Pi*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2-2*I*ln(2)+Pi*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2)))*x)*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2-125*I*Pi*ln((Pi*csgn(I/x*(ln(x)+x^2))^3-Pi*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2-Pi*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2-2*I*ln(2)+Pi*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2)))*x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2-5*I*Pi*x*csgn(I/x*(ln(x)+x^2))^3*exp(x)-25*I*Pi*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2*exp(x)-25*I*Pi*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2*exp(x)+125*I*Pi*ln(ln(x)+x^2)*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2+125*I*Pi*ln(ln(x)+x^2)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2+25*I*Pi*ln(ln(x)+x^2)*csgn(I/x*(ln(x)+x^2))^3*x-125*I*Pi*ln(ln(x)+x^2)*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))+5*I*Pi*x*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2*exp(x)+5*I*Pi*x*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2*exp(x)+25*I*Pi*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))*exp(x)-25*I*Pi*ln(ln(x)+x^2)*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2*x-25*I*Pi*ln(ln(x)+x^2)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2*x+25*I*Pi*ln((Pi*csgn(I/x*(ln(x)+x^2))^3-Pi*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2-Pi*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2-2*I*ln(2)+Pi*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2)))*x)*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2*x+25*I*Pi*ln((Pi*csgn(I/x*(ln(x)+x^2))^3-Pi*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2-Pi*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2-2*I*ln(2)+Pi*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2)))*x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2*x+125*I*Pi*ln((Pi*csgn(I/x*(ln(x)+x^2))^3-Pi*csgn(I/x)*csgn(I/x*(ln(x)+x^2))^2-Pi*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2))^2-2*I*ln(2)+Pi*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2)))*x)*csgn(I/x)*csgn(I*(ln(x)+x^2))*csgn(I/x*(ln(x)+x^2)))/(x-5)","C"
3044,1,60,25,0.068000," ","int((144*x^17-4320*x^16+56538*x^15-422208*x^14+1975680*x^13-5999616*x^12+11934720*x^11-15777792*x^10+15040512*x^9-11796480*x^8+5898240*x^7+8*x^3-x^2+40*x-10)/(9*x^18-288*x^17+4032*x^16-32256*x^15+161280*x^14-516096*x^13+1032192*x^12-1179648*x^11+589824*x^10+4*x^4-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-\frac{5}{x^{2}}+\ln \left(9 x^{15}-288 x^{14}+4032 x^{13}-32256 x^{12}+161280 x^{11}-516096 x^{10}+1032192 x^{9}-1179648 x^{8}+589824 x^{7}+4 x -1\right)$&$60$\\ norman&$\ln \left(x \right)-\frac{5}{x^{2}}+\ln \left(9 x^{15}-288 x^{14}+4032 x^{13}-32256 x^{12}+161280 x^{11}-516096 x^{10}+1032192 x^{9}-1179648 x^{8}+589824 x^{7}+4 x -1\right)$&$60$\\ risch&$-\frac{5}{x^{2}}+\ln \left(9 x^{16}-288 x^{15}+4032 x^{14}-32256 x^{13}+161280 x^{12}-516096 x^{11}+1032192 x^{10}-1179648 x^{9}+589824 x^{8}+4 x^{2}-x \right)$&$62$\\ \hline \end{longtable}"," ",0,"ln(x)-5/x^2+ln(9*x^15-288*x^14+4032*x^13-32256*x^12+161280*x^11-516096*x^10+1032192*x^9-1179648*x^8+589824*x^7+4*x-1)","B"
3045,0,0,24,0.027000," ","int((((2*x^2-2*x)*ln(x^2)^2+(-16*x^2+16*x)*ln(x^2)+30*x^2-30*x)*ln(-ln(x^2)^2+8*ln(x^2)-15)^4+((16*x^2-32*x+16)*ln(x^2)-64*x^2+128*x-64)*ln(-ln(x^2)^2+8*ln(x^2)-15)^3+ln(x^2)^2-8*ln(x^2)+15)/(x*ln(x^2)^2-8*x*ln(x^2)+15*x),x)","\[\int \frac{\left(\left(2 x^{2}-2 x \right) \ln \left(x^{2}\right)^{2}+\left(-16 x^{2}+16 x \right) \ln \left(x^{2}\right)+30 x^{2}-30 x \right) \ln \left(-\ln \left(x^{2}\right)^{2}+8 \ln \left(x^{2}\right)-15\right)^{4}+\left(\left(16 x^{2}-32 x +16\right) \ln \left(x^{2}\right)-64 x^{2}+128 x -64\right) \ln \left(-\ln \left(x^{2}\right)^{2}+8 \ln \left(x^{2}\right)-15\right)^{3}+\ln \left(x^{2}\right)^{2}-8 \ln \left(x^{2}\right)+15}{x \ln \left(x^{2}\right)^{2}-8 x \ln \left(x^{2}\right)+15 x}\, dx\]"," ",0,"int((((2*x^2-2*x)*ln(x^2)^2+(-16*x^2+16*x)*ln(x^2)+30*x^2-30*x)*ln(-ln(x^2)^2+8*ln(x^2)-15)^4+((16*x^2-32*x+16)*ln(x^2)-64*x^2+128*x-64)*ln(-ln(x^2)^2+8*ln(x^2)-15)^3+ln(x^2)^2-8*ln(x^2)+15)/(x*ln(x^2)^2-8*x*ln(x^2)+15*x),x)","F"
3046,1,35,18,0.066000," ","int((-30*exp(ln(x)^2)^2+(40*ln(x)-20)*exp(ln(x)^2))/((9*x^2-6*x+1)*exp(ln(x)^2)^2+(12*x^2-4*x)*exp(ln(x)^2)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{20 x +30 \,{\mathrm e}^{\ln \left(x \right)^{2}} x}{3 \,{\mathrm e}^{\ln \left(x \right)^{2}} x -{\mathrm e}^{\ln \left(x \right)^{2}}+2 x}$&$35$\\ risch&$\frac{10}{3 \left(x -\frac{1}{3}\right)}-\frac{20 x}{\left(3 x -1\right) \left(3 \,{\mathrm e}^{\ln \left(x \right)^{2}} x -{\mathrm e}^{\ln \left(x \right)^{2}}+2 x \right)}$&$40$\\ \hline \end{longtable}"," ",0,"(20*x+30*exp(ln(x)^2)*x)/(3*exp(ln(x)^2)*x-exp(ln(x)^2)+2*x)","A"
3047,1,25,24,0.066000," ","int(((x-4)*exp(x)^3+(9*x-36)*exp(x)^2+(50*x^3-323*x-408)*exp(x)-150*x^2+177*x+792)/((x-3)*exp(x)^3+(9*x-27)*exp(x)^2+(27*x-81)*exp(x)+27*x-81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\ln \left(x -3\right)-\frac{25 \left(x^{2}+4 x +4\right)}{\left(3+{\mathrm e}^{x}\right)^{2}}$&$25$\\ norman&$\frac{x \,{\mathrm e}^{2 x}-91 x -25 x^{2}-100+6 \,{\mathrm e}^{x} x}{\left(3+{\mathrm e}^{x}\right)^{2}}-\ln \left(x -3\right)$&$36$\\ \hline \end{longtable}"," ",0,"x-ln(x-3)-25*(x^2+4*x+4)/(3+exp(x))^2","A"
3048,1,52,27,0.154000," ","int(((147*x^4-504*x^3+432*x^2+12)*exp(4)^2+(-392*x^5+1344*x^4-1152*x^3)*exp(4)+245*x^6-840*x^5+720*x^4)/((49*x^5-168*x^4+144*x^3-7*x^2+12*x)*exp(4)^2+(-98*x^6+336*x^5-288*x^4)*exp(4)+49*x^7-168*x^6+144*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(-7 x +12\right)+\ln \left(7 x^{6}+\left(-14 \,{\mathrm e}^{4}-12\right) x^{5}+\left(7 \,{\mathrm e}^{8}+24 \,{\mathrm e}^{4}\right) x^{4}-12 \,{\mathrm e}^{8} x^{3}-x \,{\mathrm e}^{8}\right)$&$52$\\ default&$\ln \left(-14 x^{4} {\mathrm e}^{4}+7 x^{5}+7 \,{\mathrm e}^{8} x^{3}+24 x^{3} {\mathrm e}^{4}-12 x^{4}-12 x^{2} {\mathrm e}^{8}-{\mathrm e}^{8}\right)+\ln \left(x \right)-\ln \left(7 x -12\right)$&$56$\\ norman&$\ln \left(-14 x^{4} {\mathrm e}^{4}+7 x^{5}+7 \,{\mathrm e}^{8} x^{3}+24 x^{3} {\mathrm e}^{4}-12 x^{4}-12 x^{2} {\mathrm e}^{8}-{\mathrm e}^{8}\right)+\ln \left(x \right)-\ln \left(7 x -12\right)$&$62$\\ \hline \end{longtable}"," ",0,"-ln(-7*x+12)+ln(7*x^6+(-14*exp(4)-12)*x^5+(7*exp(8)+24*exp(4))*x^4-12*exp(8)*x^3-x*exp(8))","A"
3049,1,61,29,0.072000," ","int(((2*x^5+2*x^4)*ln(5)*exp(2/x^2/ln(5))^2+((4*x^5-2*x^3)*ln(5)+8*x^2-8*x)*exp(2/x^2/ln(5))+(2*x^5-2*x^4)*ln(5)+8*x^2-16*x+8)*exp(x)^2/x^3/ln(5)/exp(2/x^2/ln(5))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x} x^{2}+2 x \left(x -1\right) {\mathrm e}^{\frac{2 x^{3} \ln \left(5\right)-2}{x^{2} \ln \left(5\right)}}+\left(x^{2}-2 x +1\right) {\mathrm e}^{\frac{2 x^{3} \ln \left(5\right)-4}{x^{2} \ln \left(5\right)}}$&$61$\\ \hline \end{longtable}"," ",0,"exp(2*x)*x^2+2*x*(x-1)*exp(2*(x^3*ln(5)-1)/x^2/ln(5))+(x^2-2*x+1)*exp(2*(x^3*ln(5)-2)/x^2/ln(5))","B"
3050,1,50,30,0.050000," ","int((((135*x^3+495*x^2+525*x+125)*ln(x)-675*x^3-2475*x^2-2625*x-625)*ln(5-ln(x))*ln(ln(5-ln(x)))^2+((-45*x^3-150*x^2)*ln(x)+225*x^3+750*x^2)*ln(5-ln(x))*ln(ln(5-ln(x)))+45*x^3+75*x^2)*exp(((9*x^2+15*x)*ln(ln(5-ln(x)))-3*x^2)/(3*x+5)/ln(ln(5-ln(x))))/((9*x^2+30*x+25)*ln(x)-45*x^2-150*x-125)/ln(5-ln(x))/ln(ln(5-ln(x)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x \,{\mathrm e}^{\frac{3 x \left(3 \ln \left(\ln \left(5-\ln \left(x \right)\right)\right) x +5 \ln \left(\ln \left(5-\ln \left(x \right)\right)\right)-x \right)}{\left(3 x +5\right) \ln \left(\ln \left(5-\ln \left(x \right)\right)\right)}}$&$50$\\ \hline \end{longtable}"," ",0,"5*x*exp(3*x*(3*ln(ln(5-ln(x)))*x+5*ln(ln(5-ln(x)))-x)/(3*x+5)/ln(ln(5-ln(x))))","A"
3051,1,34,17,0.080000," ","int((256*x^3*exp(4)*ln(ln(2))^2-2*exp(4))/((256*x^4+2704*x^3)*ln(ln(2))^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{4} \ln \left(256 x^{3} \ln \left(\ln \left(2\right)\right)^{2}+2704 x^{2} \ln \left(\ln \left(2\right)\right)^{2}+1\right)-2 \,{\mathrm e}^{4} \ln \left(x \right)$&$34$\\ risch&$-2 \,{\mathrm e}^{4} \ln \left(x \right)+{\mathrm e}^{4} \ln \left(-256 x^{3} \ln \left(\ln \left(2\right)\right)^{2}-2704 x^{2} \ln \left(\ln \left(2\right)\right)^{2}-1\right)$&$34$\\ default&$2 \,{\mathrm e}^{4} \left(-\ln \left(x \right)+\frac{\ln \left(256 x^{3} \ln \left(\ln \left(2\right)\right)^{2}+2704 x^{2} \ln \left(\ln \left(2\right)\right)^{2}+1\right)}{2}\right)$&$35$\\ \hline \end{longtable}"," ",0,"exp(4)*ln(256*x^3*ln(ln(2))^2+2704*x^2*ln(ln(2))^2+1)-2*exp(4)*ln(x)","A"
3052,1,20,25,0.034000," ","int(1/256*((-3*x^3-128*x^2)*exp(x-5)*ln(x)+(-x^3-64*x^2+64*x+64)*exp(x-5))/exp(5)/exp(1/64*(x^3+64*x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{-\frac{x^{2} \left(x +64\right)}{64}} x \,{\mathrm e}^{x -10}}{4}$&$20$\\ \hline \end{longtable}"," ",0,"1/4/(x^(1/64*x^2*(x+64)))*x*exp(x-10)","A"
3053,1,483,26,0.181000," ","int(((5*x^2+15)*exp(x)^2+(-5*x^3-5*x^2-30)*exp(x)+15)/((x^2*ln(3)-x^3+3*x)*exp(x)^2+(-2*x^2*ln(3)+x^3-6*x)*exp(x)+x^2*ln(3)+3*x)/ln(((x*ln(3)-x^2+3)*exp(x)-x*ln(3)-3)/(exp(x)*x-x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10 i}{\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \left({\mathrm e}^{x}-1\right) x -{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x}-3\right)}{{\mathrm e}^{x}-1}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \left({\mathrm e}^{x}-1\right) x -{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x}-3\right)}{x \left({\mathrm e}^{x}-1\right)}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \left({\mathrm e}^{x}-1\right) x -{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x}-3\right)}{x \left({\mathrm e}^{x}-1\right)}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}-1}\right) \mathrm{csgn}\left(i \left(\ln \left(3\right) \left({\mathrm e}^{x}-1\right) x -{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \left({\mathrm e}^{x}-1\right) x -{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x}-3\right)}{{\mathrm e}^{x}-1}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}-1}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \left({\mathrm e}^{x}-1\right) x -{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x}-3\right)}{{\mathrm e}^{x}-1}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\ln \left(3\right) \left({\mathrm e}^{x}-1\right) x -{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \left({\mathrm e}^{x}-1\right) x -{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x}-3\right)}{{\mathrm e}^{x}-1}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \left({\mathrm e}^{x}-1\right) x -{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x}-3\right)}{{\mathrm e}^{x}-1}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \left({\mathrm e}^{x}-1\right) x -{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x}-3\right)}{{\mathrm e}^{x}-1}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \left({\mathrm e}^{x}-1\right) x -{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x}-3\right)}{x \left({\mathrm e}^{x}-1\right)}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \left({\mathrm e}^{x}-1\right) x -{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x}-3\right)}{x \left({\mathrm e}^{x}-1\right)}\right)^{3}-2 i \ln \left(x \right)-2 i \ln \left({\mathrm e}^{x}-1\right)+2 i \ln \left(\ln \left(3\right) \left({\mathrm e}^{x}-1\right) x -{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x}-3\right)}$&$483$\\ \hline \end{longtable}"," ",0,"10*I/(Pi*csgn(I/x)*csgn(I/(exp(x)-1)*(ln(3)*(exp(x)-1)*x-exp(x)*x^2+3*exp(x)-3))*csgn(I/x*(ln(3)*(exp(x)-1)*x-exp(x)*x^2+3*exp(x)-3)/(exp(x)-1))-Pi*csgn(I/x)*csgn(I/x*(ln(3)*(exp(x)-1)*x-exp(x)*x^2+3*exp(x)-3)/(exp(x)-1))^2+Pi*csgn(I/(exp(x)-1))*csgn(I*(ln(3)*(exp(x)-1)*x-exp(x)*x^2+3*exp(x)-3))*csgn(I/(exp(x)-1)*(ln(3)*(exp(x)-1)*x-exp(x)*x^2+3*exp(x)-3))-Pi*csgn(I/(exp(x)-1))*csgn(I/(exp(x)-1)*(ln(3)*(exp(x)-1)*x-exp(x)*x^2+3*exp(x)-3))^2-Pi*csgn(I*(ln(3)*(exp(x)-1)*x-exp(x)*x^2+3*exp(x)-3))*csgn(I/(exp(x)-1)*(ln(3)*(exp(x)-1)*x-exp(x)*x^2+3*exp(x)-3))^2+Pi*csgn(I/(exp(x)-1)*(ln(3)*(exp(x)-1)*x-exp(x)*x^2+3*exp(x)-3))^3-Pi*csgn(I/(exp(x)-1)*(ln(3)*(exp(x)-1)*x-exp(x)*x^2+3*exp(x)-3))*csgn(I/x*(ln(3)*(exp(x)-1)*x-exp(x)*x^2+3*exp(x)-3)/(exp(x)-1))^2+Pi*csgn(I/x*(ln(3)*(exp(x)-1)*x-exp(x)*x^2+3*exp(x)-3)/(exp(x)-1))^3-2*I*ln(x)-2*I*ln(exp(x)-1)+2*I*ln(ln(3)*(exp(x)-1)*x-exp(x)*x^2+3*exp(x)-3))","C"
3054,1,27,20,0.492000," ","int((((x-10)*ln(2-1/5*x)+20*x^2-199*x)*ln(4*x)+(10-x)*ln(2-1/5*x)-10*x^2+100*x)/(10*x-100)/ln(4*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(2-\frac{x}{5}\right)}{10 \ln \left(4 x \right)}+\frac{x^{2}}{\ln \left(4 x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"1/10*x/ln(4*x)*ln(2-1/5*x)+x^2/ln(4*x)","A"
3055,1,32,31,0.226000," ","int((((4*(x^2-4*x+4)*ln(2)^2+2*(-2*x^3+4*x^2)*ln(2)+x^4)*exp(x)^2+(4*(4*x^2-16*x+16)*ln(2)^2+2*(-8*x^3+16*x^2)*ln(2)+4*x^4)*exp(x)+4*(4*x^2-16*x+16)*ln(2)^2+2*(-8*x^3+16*x^2)*ln(2)+4*x^4)*exp(5/(exp(x)+2))^2+(4*ln(2)-x^2)*exp(x)^2+(2*(-10*x^2+20*x+8)*ln(2)+10*x^3-4*x^2)*exp(x)+16*ln(2)-4*x^2)/((4*(x^2-4*x+4)*ln(2)^2+2*(-2*x^3+4*x^2)*ln(2)+x^4)*exp(x)^2+(4*(4*x^2-16*x+16)*ln(2)^2+2*(-8*x^3+16*x^2)*ln(2)+4*x^4)*exp(x)+4*(4*x^2-16*x+16)*ln(2)^2+2*(-8*x^3+16*x^2)*ln(2)+4*x^4)/exp(5/(exp(x)+2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{x \,{\mathrm e}^{-\frac{10}{{\mathrm e}^{x}+2}}}{2 x \ln \left(2\right)-x^{2}-4 \ln \left(2\right)}$&$32$\\ \hline \end{longtable}"," ",0,"x-x/(2*x*ln(2)-x^2-4*ln(2))*exp(-10/(exp(x)+2))","A"
3056,1,17,14,0.016000," ","int(-4*x^3+84*x^2-588*x+1373,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(x^{3}-28 x^{2}+294 x -1373\right)$&$17$\\ default&$-x^{4}+28 x^{3}-294 x^{2}+1373 x$&$20$\\ norman&$-x^{4}+28 x^{3}-294 x^{2}+1373 x$&$20$\\ risch&$-x^{4}+28 x^{3}-294 x^{2}+1373 x$&$20$\\ \hline \end{longtable}"," ",0,"-x*(x^3-28*x^2+294*x-1373)","A"
3057,1,13,16,0.588000," ","int(((x^2-8*x+16)*exp(4)*exp(x)-5)/(x^2-8*x+16)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \,{\mathrm e}^{-4}}{x -4}+{\mathrm e}^{x}$&$13$\\ norman&$\frac{{\mathrm e}^{x} x -4 \,{\mathrm e}^{x}+5 \,{\mathrm e}^{-4}}{x -4}$&$22$\\ default&${\mathrm e}^{-4} \left({\mathrm e}^{4} \left({\mathrm e}^{x}-\frac{16 \,{\mathrm e}^{x}}{x -4}-24 \,{\mathrm e}^{4} \expIntegralEi \left(1, -x +4\right)\right)+\frac{5}{x -4}+16 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{x}}{x -4}-{\mathrm e}^{4} \expIntegralEi \left(1, -x +4\right)\right)-8 \,{\mathrm e}^{4} \left(-\frac{4 \,{\mathrm e}^{x}}{x -4}-5 \,{\mathrm e}^{4} \expIntegralEi \left(1, -x +4\right)\right)\right)$&$90$\\ \hline \end{longtable}"," ",0,"5*exp(-4)/(x-4)+exp(x)","A"
3058,1,22,26,0.092000," ","int((((-2*x^2-2*x)*exp(x)+4*x+2)*exp(exp(x))-4*x^2)*exp((-2*exp(exp(x))-2*x^2+2*x)/(3*x^2+3*x))/(3*x^4+6*x^3+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 \left(x^{2}+{\mathrm e}^{{\mathrm e}^{x}}-x \right)}{3 \left(x +1\right) x}}$&$22$\\ \hline \end{longtable}"," ",0,"exp(-2/3*(x^2+exp(exp(x))-x)/(x+1)/x)","A"
3059,1,25,21,0.057000," ","int((-x^2*exp(1)+9*x^10-24*x^5-9)/x^2/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-1} \left(x^{9}-6 x^{4}-x \,{\mathrm e}+\frac{9}{x}\right)$&$25$\\ risch&${\mathrm e}^{-1} x^{9}-6 x^{4} {\mathrm e}^{-1}-x +\frac{9 \,{\mathrm e}^{-1}}{x}$&$25$\\ gosper&$-\frac{\left(-x^{10}-9+6 x^{5}+x^{2} {\mathrm e}\right) {\mathrm e}^{-1}}{x}$&$28$\\ norman&$\frac{{\mathrm e}^{-1} x^{10}-x^{2}+9 \,{\mathrm e}^{-1}-6 \,{\mathrm e}^{-1} x^{5}}{x}$&$34$\\ \hline \end{longtable}"," ",0,"1/exp(1)*(x^9-6*x^4-x*exp(1)+9/x)","A"
3060,1,73,25,0.054000," ","int((-2*ln(x)^2+(-2*exp(x)*x^3-2*x^3+10*x+2)*ln(x)+(2*x^5+2*x^4)*exp(x)^2+(2*x^6+12*x^5+22*x^4+10*x^3-2*x^2)*exp(x)+4*x^6+18*x^5+38*x^4+28*x^3-6*x^2-10*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{2}}{x^{2}}-\frac{2 \left(x^{2}+{\mathrm e}^{x} x +5\right) \ln \left(x \right)}{x}+x^{4}+2 \,{\mathrm e}^{x} x^{3}+{\mathrm e}^{2 x} x^{2}+6 x^{3}+6 \,{\mathrm e}^{x} x^{2}+19 x^{2}+10 \,{\mathrm e}^{x} x -6 \ln \left(x \right)+30 x$&$73$\\ default&$10 \,{\mathrm e}^{x} x +6 \,{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{x} x^{3}-2 \,{\mathrm e}^{x} \ln \left(x \right)+\frac{\ln \left(x \right)^{2}}{x^{2}}+x^{4}+6 x^{3}+19 x^{2}+30 x -6 \ln \left(x \right)+{\mathrm e}^{2 x} x^{2}-2 x \ln \left(x \right)-\frac{10 \ln \left(x \right)}{x}$&$75$\\ \hline \end{longtable}"," ",0,"ln(x)^2/x^2-2*(x^2+exp(x)*x+5)/x*ln(x)+x^4+2*exp(x)*x^3+exp(2*x)*x^2+6*x^3+6*exp(x)*x^2+19*x^2+10*exp(x)*x-6*ln(x)+30*x","B"
3061,1,56,24,0.068000," ","int(((-40*x*ln(x)^2+(-120*x^2-80*x-60)*ln(x)-80*x^3-100*x^2-150*x-90)*exp(5/(4*x^2*ln(x)^2+(8*x^3+4*x^2+12*x)*ln(x)+4*x^4+4*x^3+13*x^2+6*x+14))+16*x^4*ln(x)^4+(64*x^5+32*x^4+96*x^3)*ln(x)^3+(96*x^6+96*x^5+312*x^4+144*x^3+256*x^2)*ln(x)^2+(64*x^7+96*x^6+336*x^5+296*x^4+584*x^3+256*x^2+336*x)*ln(x)+16*x^8+32*x^7+120*x^6+152*x^5+329*x^4+268*x^3+400*x^2+168*x+196)/(16*x^4*ln(x)^4+(64*x^5+32*x^4+96*x^3)*ln(x)^3+(96*x^6+96*x^5+312*x^4+144*x^3+256*x^2)*ln(x)^2+(64*x^7+96*x^6+336*x^5+296*x^4+584*x^3+256*x^2+336*x)*ln(x)+16*x^8+32*x^7+120*x^6+152*x^5+329*x^4+268*x^3+400*x^2+168*x+196),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{5}{4 x^{2} \ln \left(x \right)^{2}+8 x^{3} \ln \left(x \right)+4 x^{4}+4 x^{2} \ln \left(x \right)+4 x^{3}+12 x \ln \left(x \right)+13 x^{2}+6 x +14}}$&$56$\\ \hline \end{longtable}"," ",0,"x+exp(5/(4*x^2*ln(x)^2+8*x^3*ln(x)+4*x^4+4*x^2*ln(x)+4*x^3+12*x*ln(x)+13*x^2+6*x+14))","B"
3062,1,255,28,0.767000," ","int(((10*ln(x)^2+(20*x+70)*ln(x)+80*x+120)*ln(1/(x*ln(x)+4*x))^2+(5*ln(x)^2+(10*x+35)*ln(x)+40*x+60)*ln(1/(x*ln(x)+4*x))+5*ln(x)^2+(5*x+35)*ln(x)+25*x+50)*exp(((2*x*ln(x)+2*x^2+4*x)*ln(1/(x*ln(x)+4*x))+x*ln(x)+x^2+2*x)/ln(1/(x*ln(x)+4*x)))/(ln(x)+4)/ln(1/(x*ln(x)+4*x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \,{\mathrm e}^{\frac{2 x \left(x +\ln \left(x \right)+2\right) \left(i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+4}\right) \mathrm{csgn}\left(\frac{i}{x \left(\ln \left(x \right)+4\right)}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \left(\ln \left(x \right)+4\right)}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+4}\right) \mathrm{csgn}\left(\frac{i}{x \left(\ln \left(x \right)+4\right)}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i}{x \left(\ln \left(x \right)+4\right)}\right)^{3}+2 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)+4\right)-1\right)}{i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+4}\right) \mathrm{csgn}\left(\frac{i}{x \left(\ln \left(x \right)+4\right)}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \left(\ln \left(x \right)+4\right)}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+4}\right) \mathrm{csgn}\left(\frac{i}{x \left(\ln \left(x \right)+4\right)}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i}{x \left(\ln \left(x \right)+4\right)}\right)^{3}+2 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)+4\right)}}$&$255$\\ \hline \end{longtable}"," ",0,"5*exp(2*x*(x+ln(x)+2)*(I*Pi*csgn(I/x)*csgn(I/(ln(x)+4))*csgn(I/x/(ln(x)+4))-I*Pi*csgn(I/x)*csgn(I/x/(ln(x)+4))^2-I*Pi*csgn(I/(ln(x)+4))*csgn(I/x/(ln(x)+4))^2+I*Pi*csgn(I/x/(ln(x)+4))^3+2*ln(x)+2*ln(ln(x)+4)-1)/(I*Pi*csgn(I/x)*csgn(I/(ln(x)+4))*csgn(I/x/(ln(x)+4))-I*Pi*csgn(I/x)*csgn(I/x/(ln(x)+4))^2-I*Pi*csgn(I/(ln(x)+4))*csgn(I/x/(ln(x)+4))^2+I*Pi*csgn(I/x/(ln(x)+4))^3+2*ln(x)+2*ln(ln(x)+4)))","C"
3063,1,197,23,0.214000," ","int(((x^2+3*x+2)*ln(x)*ln((2*x^2+8*x+8)*ln(x))+(-x^2-2*x)*ln(x)^3+(-2*x^3-4*x^2-2*x)*ln(x)^2+(-x^4-2*x^3-2*x^2-x-2)*ln(x)-x^2-2*x)/((x^2+2*x)*ln(x)^3+(2*x^3+4*x^2)*ln(x)^2+(x^4+2*x^3)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \ln \left(2+x \right)}{x +\ln \left(x \right)}-\frac{-i \pi  \mathrm{csgn}\left(i \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i \left(2+x \right)\right) \mathrm{csgn}\left(i \left(2+x \right)^{2}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \left(2+x \right)^{2}\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(2+x \right)^{2}\right)+i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(2+x \right)^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i \left(2+x \right)^{2}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i \left(2+x \right)^{2}\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(2+x \right)^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(2+x \right)^{2}\right)^{3}+2 x^{2}+2 x \ln \left(x \right)+2 \ln \left(2\right)+2 \ln \left(\ln \left(x \right)\right)}{2 \left(x +\ln \left(x \right)\right)}$&$197$\\ \hline \end{longtable}"," ",0,"-2/(x+ln(x))*ln(2+x)-1/2*(-I*Pi*csgn(I*(2+x))^2*csgn(I*(2+x)^2)+2*I*Pi*csgn(I*(2+x))*csgn(I*(2+x)^2)^2-I*Pi*csgn(I*ln(x))*csgn(I*(2+x)^2)*csgn(I*ln(x)*(2+x)^2)+I*Pi*csgn(I*ln(x))*csgn(I*ln(x)*(2+x)^2)^2-I*Pi*csgn(I*(2+x)^2)^3+I*Pi*csgn(I*(2+x)^2)*csgn(I*ln(x)*(2+x)^2)^2-I*Pi*csgn(I*ln(x)*(2+x)^2)^3+2*x^2+2*x*ln(x)+2*ln(2)+2*ln(ln(x)))/(x+ln(x))","C"
3064,1,32,28,0.077000," ","int(((8*x^2+5*x-1)*ln(256*x^4+320*x^3+36*x^2-40*x+4)^3+64*x^2-44*x-20)*exp(1/ln(256*x^4+320*x^3+36*x^2-40*x+4)^2)/(8*x^4-11*x^3-3*x^2+7*x-1)/ln(256*x^4+320*x^3+36*x^2-40*x+4)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{\frac{1}{\ln \left(256 x^{4}+320 x^{3}+36 x^{2}-40 x +4\right)^{2}}}}{x -1}$&$32$\\ \hline \end{longtable}"," ",0,"-1/(x-1)*exp(1/ln(256*x^4+320*x^3+36*x^2-40*x+4)^2)","A"
3065,1,66,25,0.035000," ","int(1/5*(5*x^4-48*x^2+64)*ln(x)^2+1/5*(2*x^4-8*x^3-2*x^2+32*x+48)*ln(x)-2/5*x^3+16/5*x^2-4/5*x-11,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x -2 x^{2}+\frac{2 x^{3}}{5}+\frac{x^{5} \ln \left(x \right)^{2}}{5}-\frac{16 x^{3} \ln \left(x \right)^{2}}{5}+2 x^{3} \ln \left(x \right)+\frac{64 x \ln \left(x \right)^{2}}{5}-16 x \ln \left(x \right)-\frac{2 x^{4} \ln \left(x \right)}{5}+\frac{16 x^{2} \ln \left(x \right)}{5}$&$66$\\ norman&$5 x -2 x^{2}+\frac{2 x^{3}}{5}+\frac{x^{5} \ln \left(x \right)^{2}}{5}-\frac{16 x^{3} \ln \left(x \right)^{2}}{5}+2 x^{3} \ln \left(x \right)+\frac{64 x \ln \left(x \right)^{2}}{5}-16 x \ln \left(x \right)-\frac{2 x^{4} \ln \left(x \right)}{5}+\frac{16 x^{2} \ln \left(x \right)}{5}$&$66$\\ risch&$5 x -2 x^{2}+\frac{2 x^{3}}{5}+\frac{x^{5} \ln \left(x \right)^{2}}{5}-\frac{16 x^{3} \ln \left(x \right)^{2}}{5}+2 x^{3} \ln \left(x \right)+\frac{64 x \ln \left(x \right)^{2}}{5}-16 x \ln \left(x \right)-\frac{2 x^{4} \ln \left(x \right)}{5}+\frac{16 x^{2} \ln \left(x \right)}{5}$&$66$\\ \hline \end{longtable}"," ",0,"5*x-2*x^2+2/5*x^3+1/5*x^5*ln(x)^2-16/5*x^3*ln(x)^2+2*x^3*ln(x)+64/5*x*ln(x)^2-16*x*ln(x)-2/5*x^4*ln(x)+16/5*x^2*ln(x)","B"
3066,1,15,14,0.128000," ","int((2*x^2-30)*exp((2*x^2-12*x+30)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{2 x^{2}-12 x +30}{x}}$&$15$\\ risch&${\mathrm e}^{\frac{2 x^{2}-12 x +30}{x}}$&$15$\\ norman&${\mathrm e}^{\frac{2 x^{2}-12 x +30}{x}}$&$16$\\ \hline \end{longtable}"," ",0,"exp(2/x*(x^2-6*x+15))","A"
3067,1,28,28,0.034000," ","int((((10*exp(x)*x^2+30*x)*ln(x)-10*x)*exp(exp(x))+(20*x^2+80)*ln(x)-5*x^2-40)/(2*x^2*ln(x)*exp(exp(x))+(x^3+8*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$15 \ln \left(x \right)-5 \ln \left(\ln \left(x \right)\right)+5 \ln \left({\mathrm e}^{{\mathrm e}^{x}}+\frac{x^{2}+8}{2 x}\right)$&$28$\\ \hline \end{longtable}"," ",0,"15*ln(x)-5*ln(ln(x))+5*ln(exp(exp(x))+1/2*(x^2+8)/x)","A"
3068,1,93,22,0.362000," ","int(((-exp(3+x)*x-x^2+6*x)*ln(3*x/(exp(3+x)+x-6))*ln(ln(3*x/(exp(3+x)+x-6)))+(x-1)*exp(3+x)+6)/((exp(3+x)*x+x^2-6*x)*ln(3*x/(exp(3+x)+x-6))*ln(ln(3*x/(exp(3+x)+x-6)))*ln(ln(ln(3*x/(exp(3+x)+x-6))))+(x^2*exp(3+x)+x^3-6*x^2)*ln(3*x/(exp(3+x)+x-6))*ln(ln(3*x/(exp(3+x)+x-6)))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x +\ln \left(\ln \left(\ln \left(3\right)+\ln \left(x \right)-\ln \left({\mathrm e}^{3+x}+x -6\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{3+x}+x -6}\right) \left(-\mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{3+x}+x -6}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{3+x}+x -6}\right)+\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3+x}+x -6}\right)\right)}{2}\right)\right)\right)$&$93$\\ \hline \end{longtable}"," ",0,"-ln(x+ln(ln(ln(3)+ln(x)-ln(exp(3+x)+x-6)-1/2*I*Pi*csgn(I*x/(exp(3+x)+x-6))*(-csgn(I*x/(exp(3+x)+x-6))+csgn(I*x))*(-csgn(I*x/(exp(3+x)+x-6))+csgn(I/(exp(3+x)+x-6))))))","C"
3069,1,18,18,0.022000," ","int((-100*ln(x)-75*x^4+250)/(4*x*ln(x)-x^5-6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-25 \ln \left(x \right)+25 \ln \left(6+x^{4}-4 \ln \left(x \right)\right)$&$18$\\ risch&$-25 \ln \left(x \right)+25 \ln \left(-\frac{x^{4}}{4}+\ln \left(x \right)-\frac{3}{2}\right)$&$18$\\ \hline \end{longtable}"," ",0,"-25*ln(x)+25*ln(6+x^4-4*ln(x))","A"
3070,1,48,23,0.154000," ","int(((x*ln(x)+x)*ln(2*x)*ln(ln(2*x))+((-4*x^2-5*x)*ln(x)-2*x^2+6*x)*ln(2*x)+x*ln(x)-5)/((x^2*ln(x)-5*x)*ln(2*x)*ln(ln(2*x))+((-2*x^3-5*x^2)*ln(x)+11*x^2+25*x)*ln(2*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left(\ln \left(x \right)-\frac{5}{x}\right)+\ln \left(\ln \left(\ln \left(2\right)+\ln \left(x \right)\right)-\frac{2 x^{2} \ln \left(x \right)+5 x \ln \left(x \right)-11 x -25}{x \ln \left(x \right)-5}\right)$&$48$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(ln(x)-5/x)+ln(ln(ln(2)+ln(x))-(2*x^2*ln(x)+5*x*ln(x)-11*x-25)/(x*ln(x)-5))","B"
3071,1,36,26,0.515000," ","int(((16*ln(2)^2+2*(-8*exp(5)+163*x)*ln(2)+4*exp(5)^2-163*x*exp(5)+1660*x^2)*ln((-8*ln(2)+4*exp(5)-83*x)/(10*ln(2)-5*exp(5)+100*x))+2*(-3*x+12)*ln(2)+(3*x-12)*exp(5))/(4*(4*x^2-32*x+64)*ln(2)^2+2*((-8*x^2+64*x-128)*exp(5)+163*x^3-1304*x^2+2608*x)*ln(2)+(4*x^2-32*x+64)*exp(5)^2+(-163*x^3+1304*x^2-2608*x)*exp(5)+1660*x^4-13280*x^3+26560*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(\frac{-8 \ln \left(2\right)+4 \,{\mathrm e}^{5}-83 x}{10 \ln \left(2\right)-5 \,{\mathrm e}^{5}+100 x}\right)}{x -4}$&$36$\\ risch&$-\frac{\ln \left(\frac{-8 \ln \left(2\right)+4 \,{\mathrm e}^{5}-83 x}{10 \ln \left(2\right)-5 \,{\mathrm e}^{5}+100 x}\right)}{x -4}$&$36$\\ derivativedivides&$-\frac{\left(-300 \,{\mathrm e}^{5}+600 \ln \left(2\right)\right) \left(-\frac{\left(\ln \left(\frac{20 \,{\mathrm e}^{5} \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-20 \ln \left(2\right)^{2} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+16 \,{\mathrm e}^{5} \ln \left(2\right)+800 \,{\mathrm e}^{5} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-16 \ln \left(2\right)^{2}-1600 \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-5 \,{\mathrm e}^{10} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+652 \,{\mathrm e}^{5}-12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-\frac{32000 \left(\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}\right)}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}}{16 \,{\mathrm e}^{5} \ln \left(2\right)-16 \ln \left(2\right)^{2}+652 \,{\mathrm e}^{5}-12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-26560}\right)-\ln \left(\frac{20 \,{\mathrm e}^{5} \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-20 \ln \left(2\right)^{2} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+16 \,{\mathrm e}^{5} \ln \left(2\right)+800 \,{\mathrm e}^{5} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-16 \ln \left(2\right)^{2}-1600 \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-5 \,{\mathrm e}^{10} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+652 \,{\mathrm e}^{5}+12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-\frac{32000 \left(\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}\right)}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}}{16 \,{\mathrm e}^{5} \ln \left(2\right)-16 \ln \left(2\right)^{2}+652 \,{\mathrm e}^{5}+12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-26560}\right)\right) \ln \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)}{120 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}-\frac{\dilog \left(\frac{20 \,{\mathrm e}^{5} \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-20 \ln \left(2\right)^{2} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+16 \,{\mathrm e}^{5} \ln \left(2\right)+800 \,{\mathrm e}^{5} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-16 \ln \left(2\right)^{2}-1600 \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-5 \,{\mathrm e}^{10} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+652 \,{\mathrm e}^{5}-12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-\frac{32000 \left(\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}\right)}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}}{16 \,{\mathrm e}^{5} \ln \left(2\right)-16 \ln \left(2\right)^{2}+652 \,{\mathrm e}^{5}-12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-26560}\right)}{120 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}+\frac{\dilog \left(\frac{20 \,{\mathrm e}^{5} \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-20 \ln \left(2\right)^{2} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+16 \,{\mathrm e}^{5} \ln \left(2\right)+800 \,{\mathrm e}^{5} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-16 \ln \left(2\right)^{2}-1600 \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-5 \,{\mathrm e}^{10} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+652 \,{\mathrm e}^{5}+12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-\frac{32000 \left(\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}\right)}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}}{16 \,{\mathrm e}^{5} \ln \left(2\right)-16 \ln \left(2\right)^{2}+652 \,{\mathrm e}^{5}+12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-26560}\right)}{120 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}-\frac{83 \ln \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)}{15 \left({\mathrm e}^{5}-2 \ln \left(2\right)\right) \left(4 \,{\mathrm e}^{5}-8 \ln \left(2\right)-332\right)}-\frac{2 \ln \left(5 \,{\mathrm e}^{5} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-10 \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+4 \,{\mathrm e}^{5}-8 \ln \left(2\right)-\frac{400 \left(\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}\right)}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right) \ln \left(2\right)}{\left({\mathrm e}^{5}-2 \ln \left(2\right)\right) \left(4 \,{\mathrm e}^{5}-8 \ln \left(2\right)-332\right) \left(5 \,{\mathrm e}^{5}-10 \ln \left(2\right)-400\right)}+\frac{\ln \left(5 \,{\mathrm e}^{5} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-10 \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+4 \,{\mathrm e}^{5}-8 \ln \left(2\right)-\frac{400 \left(\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}\right)}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right) {\mathrm e}^{5}}{\left({\mathrm e}^{5}-2 \ln \left(2\right)\right) \left(4 \,{\mathrm e}^{5}-8 \ln \left(2\right)-332\right) \left(5 \,{\mathrm e}^{5}-10 \ln \left(2\right)-400\right)}\right)}{20}$&$1439$\\ default&$-\frac{\left(-300 \,{\mathrm e}^{5}+600 \ln \left(2\right)\right) \left(-\frac{\left(\ln \left(\frac{20 \,{\mathrm e}^{5} \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-20 \ln \left(2\right)^{2} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+16 \,{\mathrm e}^{5} \ln \left(2\right)+800 \,{\mathrm e}^{5} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-16 \ln \left(2\right)^{2}-1600 \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-5 \,{\mathrm e}^{10} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+652 \,{\mathrm e}^{5}-12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-\frac{32000 \left(\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}\right)}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}}{16 \,{\mathrm e}^{5} \ln \left(2\right)-16 \ln \left(2\right)^{2}+652 \,{\mathrm e}^{5}-12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-26560}\right)-\ln \left(\frac{20 \,{\mathrm e}^{5} \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-20 \ln \left(2\right)^{2} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+16 \,{\mathrm e}^{5} \ln \left(2\right)+800 \,{\mathrm e}^{5} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-16 \ln \left(2\right)^{2}-1600 \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-5 \,{\mathrm e}^{10} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+652 \,{\mathrm e}^{5}+12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-\frac{32000 \left(\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}\right)}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}}{16 \,{\mathrm e}^{5} \ln \left(2\right)-16 \ln \left(2\right)^{2}+652 \,{\mathrm e}^{5}+12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-26560}\right)\right) \ln \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)}{120 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}-\frac{\dilog \left(\frac{20 \,{\mathrm e}^{5} \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-20 \ln \left(2\right)^{2} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+16 \,{\mathrm e}^{5} \ln \left(2\right)+800 \,{\mathrm e}^{5} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-16 \ln \left(2\right)^{2}-1600 \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-5 \,{\mathrm e}^{10} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+652 \,{\mathrm e}^{5}-12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-\frac{32000 \left(\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}\right)}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}}{16 \,{\mathrm e}^{5} \ln \left(2\right)-16 \ln \left(2\right)^{2}+652 \,{\mathrm e}^{5}-12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-26560}\right)}{120 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}+\frac{\dilog \left(\frac{20 \,{\mathrm e}^{5} \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-20 \ln \left(2\right)^{2} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+16 \,{\mathrm e}^{5} \ln \left(2\right)+800 \,{\mathrm e}^{5} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-16 \ln \left(2\right)^{2}-1600 \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-5 \,{\mathrm e}^{10} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+652 \,{\mathrm e}^{5}+12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-\frac{32000 \left(\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}\right)}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}}{16 \,{\mathrm e}^{5} \ln \left(2\right)-16 \ln \left(2\right)^{2}+652 \,{\mathrm e}^{5}+12 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}-1304 \ln \left(2\right)-4 \,{\mathrm e}^{10}-26560}\right)}{120 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}-\frac{83 \ln \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)}{15 \left({\mathrm e}^{5}-2 \ln \left(2\right)\right) \left(4 \,{\mathrm e}^{5}-8 \ln \left(2\right)-332\right)}-\frac{2 \ln \left(5 \,{\mathrm e}^{5} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-10 \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+4 \,{\mathrm e}^{5}-8 \ln \left(2\right)-\frac{400 \left(\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}\right)}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right) \ln \left(2\right)}{\left({\mathrm e}^{5}-2 \ln \left(2\right)\right) \left(4 \,{\mathrm e}^{5}-8 \ln \left(2\right)-332\right) \left(5 \,{\mathrm e}^{5}-10 \ln \left(2\right)-400\right)}+\frac{\ln \left(5 \,{\mathrm e}^{5} \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)-10 \ln \left(2\right) \left(-\frac{83}{100}+\frac{\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right)+4 \,{\mathrm e}^{5}-8 \ln \left(2\right)-\frac{400 \left(\frac{3 \ln \left(2\right)}{50}-\frac{3 \,{\mathrm e}^{5}}{100}\right)}{-{\mathrm e}^{5}+2 \ln \left(2\right)+20 x}\right) {\mathrm e}^{5}}{\left({\mathrm e}^{5}-2 \ln \left(2\right)\right) \left(4 \,{\mathrm e}^{5}-8 \ln \left(2\right)-332\right) \left(5 \,{\mathrm e}^{5}-10 \ln \left(2\right)-400\right)}\right)}{20}$&$1439$\\ \hline \end{longtable}"," ",0,"-ln((-8*ln(2)+4*exp(5)-83*x)/(10*ln(2)-5*exp(5)+100*x))/(x-4)","A"
3072,1,211,17,0.100000," ","int(((-x^2*ln(x)-3)*ln(1/3*(-x^2*ln(x)-3)/x^2)+x^2-6)/(x^3*ln(x)+3*x)/ln(1/3*(-x^2*ln(x)-3)/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\ln \left(\ln \left(x^{2} \ln \left(x \right)+3\right)+\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left(x^{2} \ln \left(x \right)+3\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+3\right)}{x^{2}}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+3\right)}{x^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 \pi  \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+3\right)}{x^{2}}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(x^{2} \ln \left(x \right)+3\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+3\right)}{x^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+3\right)}{x^{2}}\right)^{3}+2 \pi +2 i \ln \left(3\right)+4 i \ln \left(x \right)\right)}{2}\right)$&$211$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(ln(x^2*ln(x)+3)+1/2*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I/x^2)*csgn(I*(x^2*ln(x)+3))*csgn(I/x^2*(x^2*ln(x)+3))+Pi*csgn(I/x^2)*csgn(I/x^2*(x^2*ln(x)+3))^2+Pi*csgn(I*x^2)^3-2*Pi*csgn(I/x^2*(x^2*ln(x)+3))^2+Pi*csgn(I*(x^2*ln(x)+3))*csgn(I/x^2*(x^2*ln(x)+3))^2+Pi*csgn(I/x^2*(x^2*ln(x)+3))^3+2*Pi+2*I*ln(3)+4*I*ln(x)))","C"
3073,1,55,30,0.149000," ","int(((-32*exp(ln(1/8*x)+x^2-8*x+18)^2+((64*x^2-256*x+32)*ln(x)+64)*exp(ln(1/8*x)+x^2-8*x+18)+(-64*x^2+256*x-32)*ln(x)-32)*exp((16*exp(ln(1/8*x)+x^2-8*x+18)^2-32*exp(ln(1/8*x)+x^2-8*x+18)+16)/ln(x)^2/exp(ln(1/8*x)+x^2-8*x+18)^2)-x*ln(x)^3*exp(ln(1/8*x)+x^2-8*x+18)^2)/x/ln(x)^3/exp(ln(1/8*x)+x^2-8*x+18)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{\frac{16 \left(x^{2} {\mathrm e}^{2 x^{2}-16 x +36}-16 x \,{\mathrm e}^{x^{2}-8 x +18}+64\right) {\mathrm e}^{-2 x^{2}+16 x -36}}{\ln \left(x \right)^{2} x^{2}}}$&$55$\\ \hline \end{longtable}"," ",0,"-x+exp(16*(x^2*exp(2*x^2-16*x+36)-16*x*exp(x^2-8*x+18)+64)*exp(-2*x^2+16*x-36)/ln(x)^2/x^2)","A"
3074,1,20,21,0.178000," ","int((x^2*exp(x)*ln(x)^3+(33*x^3+9*x^2)*exp(x)*ln(x)^2+((363*x^4+198*x^3+27*x^2)*exp(x)+225*exp(1))*ln(x)+(1331*x^5+1089*x^4+297*x^3+27*x^2)*exp(x)+(7425*x+1125)*exp(1))/(x^2*ln(x)^3+(33*x^3+9*x^2)*ln(x)^2+(363*x^4+198*x^3+27*x^2)*ln(x)+1331*x^5+1089*x^4+297*x^3+27*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{225 \,{\mathrm e}}{x \left(\ln \left(x \right)+11 x +3\right)^{2}}+{\mathrm e}^{x}$&$20$\\ risch&$-\frac{225 \,{\mathrm e}}{x \left(\ln \left(x \right)+11 x +3\right)^{2}}+{\mathrm e}^{x}$&$20$\\ \hline \end{longtable}"," ",0,"-225*exp(1)/x/(ln(x)+11*x+3)^2+exp(x)","A"
3075,1,22,20,0.756000," ","int(((10*x-5)*exp(1/2*(2*x-1)/x)-10*x*ln(3))/(2*x*exp(1/2*(2*x-1)/x)^2-4*x*ln(3)*exp(1/2*(2*x-1)/x)+2*x*ln(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{5 x}{\ln \left(3\right)-{\mathrm e}^{\frac{2 x -1}{2 x}}}$&$22$\\ risch&$-\frac{5 x}{\ln \left(3\right)-{\mathrm e}^{\frac{2 x -1}{2 x}}}$&$22$\\ \hline \end{longtable}"," ",0,"-5*x/(ln(3)-exp(1/2*(2*x-1)/x))","A"
3076,1,156,19,0.562000," ","int(((3*ln(3)*exp(x)+x*ln(3))*ln(3*exp(x)+x)*ln(-x/ln(3*exp(x)+x))+(-6*ln(3)*exp(x)-2*x*ln(3))*ln(3*exp(x)+x)+6*x*ln(3)*exp(x)+2*x*ln(3))/(3*exp(x)+x)/ln(3*exp(x)+x)/ln(-x/ln(3*exp(x)+x))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \ln \left(3\right) x}{\left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(3 \,{\mathrm e}^{x}+x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(3 \,{\mathrm e}^{x}+x \right)}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(3 \,{\mathrm e}^{x}+x \right)}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(3 \,{\mathrm e}^{x}+x \right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(3 \,{\mathrm e}^{x}+x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(3 \,{\mathrm e}^{x}+x \right)}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(3 \,{\mathrm e}^{x}+x \right)}\right)^{3}-2 \pi +2 i \ln \left(x \right)-2 i \ln \left(\ln \left(3 \,{\mathrm e}^{x}+x \right)\right)\right)^{2}}$&$156$\\ \hline \end{longtable}"," ",0,"-4*ln(3)*x/(Pi*csgn(I*x)*csgn(I/ln(3*exp(x)+x))*csgn(I*x/ln(3*exp(x)+x))-Pi*csgn(I*x)*csgn(I*x/ln(3*exp(x)+x))^2+2*Pi*csgn(I*x/ln(3*exp(x)+x))^2-Pi*csgn(I/ln(3*exp(x)+x))*csgn(I*x/ln(3*exp(x)+x))^2-Pi*csgn(I*x/ln(3*exp(x)+x))^3-2*Pi+2*I*ln(x)-2*I*ln(ln(3*exp(x)+x)))^2","C"
3077,1,87,21,0.108000," ","int((-314928*exp(x)^8-3674160*exp(x)^7-18370800*exp(x)^6-51030000*exp(x)^5+(-3888*x-85365900)*exp(x)^4+(-19440*x-86631120)*exp(x)^3+(-32400*x-49890600)*exp(x)^2+(-18000*x-12726000)*exp(x)-12*x-8472)/(387420489*exp(x)^16+10331213040*exp(x)^15+129140163000*exp(x)^14+1004423490000*exp(x)^13+(19131876*x+5442176919456)*exp(x)^12+(382637520*x+21793502589120)*exp(x)^11+(3507510600*x+66780663483600)*exp(x)^10+(19486170000*x+159903511020000)*exp(x)^9+(354294*x^2+73130533128*x+302780869911648)*exp(x)^8+(4723920*x^2+195626975040*x+455606824688640)*exp(x)^7+(27556200*x^2+383361854400*x+543962229350400)*exp(x)^6+(91854000*x^2+556162848000*x+510892671168000)*exp(x)^5+(2916*x^3+192071088*x^2+594894062016*x+370848773784384)*exp(x)^4+(19440*x^3+259873920*x^2+459373213440*x+201627923362560)*exp(x)^3+(48600*x^3+224434800*x^2+244230033600*x+77662210406400)*exp(x)^2+(54000*x^3+114372000*x^2+80746704000*x+19002424896000)*exp(x)+9*x^4+25416*x^3+26915568*x^2+12668283264*x+2235957977344),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{19683 \,{\mathrm e}^{8 x}+262440 \,{\mathrm e}^{7 x}+1530900 \,{\mathrm e}^{6 x}+5103000 \,{\mathrm e}^{5 x}+486 x \,{\mathrm e}^{4 x}+10670616 \,{\mathrm e}^{4 x}+3240 x \,{\mathrm e}^{3 x}+14437440 \,{\mathrm e}^{3 x}+8100 x \,{\mathrm e}^{2 x}+12468600 \,{\mathrm e}^{2 x}+9000 \,{\mathrm e}^{x} x +3 x^{2}+6354000 \,{\mathrm e}^{x}+4236 x +1495312}$&$87$\\ \hline \end{longtable}"," ",0,"2/(19683*exp(8*x)+262440*exp(7*x)+1530900*exp(6*x)+5103000*exp(5*x)+486*x*exp(4*x)+10670616*exp(4*x)+3240*x*exp(3*x)+14437440*exp(3*x)+8100*x*exp(2*x)+12468600*exp(2*x)+9000*exp(x)*x+3*x^2+6354000*exp(x)+4236*x+1495312)","B"
3078,1,25,19,0.472000," ","int(((8*x^2-10)*exp(1)*exp(x)*ln(4*x^2-5)+(-8*x^3+26*x)*exp(1)*exp(x))/(4*x^2-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(4 x^{2}-5\right) {\mathrm e}^{x +1}-2 \left(x -1\right) {\mathrm e}^{x +1}$&$25$\\ norman&$2 \,{\mathrm e} \,{\mathrm e}^{x}-2 x \,{\mathrm e} \,{\mathrm e}^{x}+2 \,{\mathrm e} \,{\mathrm e}^{x} \ln \left(4 x^{2}-5\right)$&$29$\\ \hline \end{longtable}"," ",0,"2*ln(4*x^2-5)*exp(x+1)-2*(x-1)*exp(x+1)","A"
3079,1,393,26,0.375000," ","int(((-x^4+4*x^3-3*x^2-4*x+4)*ln((x^4-2*x^2+1)*exp(x/(x-2))/x)-6*x^4+28*x^3-26*x^2+4*x-8)/(x^6-4*x^5+3*x^4+4*x^3-4*x^2)/ln((x^4-2*x^2+1)*exp(x/(x-2))/x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4}{x \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{x -2}} \left(x^{2}-1\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-1\right)^{2} {\mathrm e}^{\frac{x}{x -2}}}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-1\right)^{2} {\mathrm e}^{\frac{x}{x -2}}}{x}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(x^{2}-1\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}-1\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(x^{2}-1\right)\right) \mathrm{csgn}\left(i \left(x^{2}-1\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(x^{2}-1\right)^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i \left(x^{2}-1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{x -2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{x -2}} \left(x^{2}-1\right)^{2}\right)-\pi  \,\mathrm{csgn}\left(i \left(x^{2}-1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{x -2}} \left(x^{2}-1\right)^{2}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{x -2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{x -2}} \left(x^{2}-1\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{x -2}} \left(x^{2}-1\right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{x -2}} \left(x^{2}-1\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-1\right)^{2} {\mathrm e}^{\frac{x}{x -2}}}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x^{2}-1\right)^{2} {\mathrm e}^{\frac{x}{x -2}}}{x}\right)^{3}-2 i \ln \left(x \right)+4 i \ln \left(x^{2}-1\right)+2 i \ln \left({\mathrm e}^{\frac{x}{x -2}}\right)\right)^{2}}$&$393$\\ \hline \end{longtable}"," ",0,"-4/x/(Pi*csgn(I/x)*csgn(I*exp(x/(x-2))*(x^2-1)^2)*csgn(I/x*(x^2-1)^2*exp(x/(x-2)))-Pi*csgn(I/x)*csgn(I/x*(x^2-1)^2*exp(x/(x-2)))^2+Pi*csgn(I*(x^2-1))^2*csgn(I*(x^2-1)^2)-2*Pi*csgn(I*(x^2-1))*csgn(I*(x^2-1)^2)^2+Pi*csgn(I*(x^2-1)^2)^3+Pi*csgn(I*(x^2-1)^2)*csgn(I*exp(x/(x-2)))*csgn(I*exp(x/(x-2))*(x^2-1)^2)-Pi*csgn(I*(x^2-1)^2)*csgn(I*exp(x/(x-2))*(x^2-1)^2)^2-Pi*csgn(I*exp(x/(x-2)))*csgn(I*exp(x/(x-2))*(x^2-1)^2)^2+Pi*csgn(I*exp(x/(x-2))*(x^2-1)^2)^3-Pi*csgn(I*exp(x/(x-2))*(x^2-1)^2)*csgn(I/x*(x^2-1)^2*exp(x/(x-2)))^2+Pi*csgn(I/x*(x^2-1)^2*exp(x/(x-2)))^3-2*I*ln(x)+4*I*ln(x^2-1)+2*I*ln(exp(x/(x-2))))^2","C"
3080,1,198,15,0.197000," ","int((8*exp(x)^2+8*exp(x)-8*x+8)*ln(1/4*(4*exp(x)^2+(4*x+19)*exp(x)+4*x)/exp(x))*exp(ln(1/4*(4*exp(x)^2+(4*x+19)*exp(x)+4*x)/exp(x))^2)/(4*exp(x)^2+(4*x+19)*exp(x)+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(x \left({\mathrm e}^{x}+1\right)+{\mathrm e}^{2 x}+\frac{19 \,{\mathrm e}^{x}}{4}\right)\right)^{3}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(x \left({\mathrm e}^{x}+1\right)+{\mathrm e}^{2 x}+\frac{19 \,{\mathrm e}^{x}}{4}\right)\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(x \left({\mathrm e}^{x}+1\right)+{\mathrm e}^{2 x}+\frac{19 \,{\mathrm e}^{x}}{4}\right)\right)^{2} \mathrm{csgn}\left(i \left(x \left({\mathrm e}^{x}+1\right)+{\mathrm e}^{2 x}+\frac{19 \,{\mathrm e}^{x}}{4}\right)\right)+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x} \left(x \left({\mathrm e}^{x}+1\right)+{\mathrm e}^{2 x}+\frac{19 \,{\mathrm e}^{x}}{4}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i \left(x \left({\mathrm e}^{x}+1\right)+{\mathrm e}^{2 x}+\frac{19 \,{\mathrm e}^{x}}{4}\right)\right)+2 \ln \left({\mathrm e}^{x}\right)-2 \ln \left(x \left({\mathrm e}^{x}+1\right)+{\mathrm e}^{2 x}+\frac{19 \,{\mathrm e}^{x}}{4}\right)\right)^{2}}{4}}$&$198$\\ \hline \end{longtable}"," ",0,"exp(1/4*(I*Pi*csgn(I*exp(-x)*(x*(exp(x)+1)+exp(2*x)+19/4*exp(x)))^3-I*Pi*csgn(I*exp(-x)*(x*(exp(x)+1)+exp(2*x)+19/4*exp(x)))^2*csgn(I*exp(-x))-I*Pi*csgn(I*exp(-x)*(x*(exp(x)+1)+exp(2*x)+19/4*exp(x)))^2*csgn(I*(x*(exp(x)+1)+exp(2*x)+19/4*exp(x)))+I*Pi*csgn(I*exp(-x)*(x*(exp(x)+1)+exp(2*x)+19/4*exp(x)))*csgn(I*exp(-x))*csgn(I*(x*(exp(x)+1)+exp(2*x)+19/4*exp(x)))+2*ln(exp(x))-2*ln(x*(exp(x)+1)+exp(2*x)+19/4*exp(x)))^2)","C"
3081,1,17,18,0.081000," ","int(2*x*exp(16/5*ln(2)^2)*ln(x/exp(4))+x*exp(16/5*ln(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{16 \ln \left(2\right)^{2}}{5}} x^{2} \ln \left({\mathrm e}^{-4} x \right)$&$17$\\ derivativedivides&${\mathrm e}^{\frac{16 \ln \left(2\right)^{2}}{5}} x^{2} \ln \left({\mathrm e}^{-4} x \right)$&$19$\\ default&${\mathrm e}^{\frac{16 \ln \left(2\right)^{2}}{5}} x^{2} \ln \left({\mathrm e}^{-4} x \right)$&$19$\\ norman&${\mathrm e}^{\frac{16 \ln \left(2\right)^{2}}{5}} x^{2} \ln \left({\mathrm e}^{-4} x \right)$&$19$\\ \hline \end{longtable}"," ",0,"exp(16/5*ln(2)^2)*x^2*ln(exp(-4)*x)","A"
3082,1,51,31,1.060000," ","int(((10*exp(1)+4*x^2-16*x-4)*exp((2-x)/((2*x+1)*exp(1)-2*x^2-x))^2+(10*exp(1)+4*x^2-16*x-4)*exp((2-x)/((2*x+1)*exp(1)-2*x^2-x))+(-4*x^2-4*x-1)*exp(1)^2+(8*x^3+8*x^2+2*x)*exp(1)-4*x^4-4*x^3-x^2)/((4*x^2+4*x+1)*exp(1)^2+(-8*x^3-8*x^2-2*x)*exp(1)+4*x^4+4*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-\frac{2 \left(x -2\right)}{\left(2 x +1\right) \left({\mathrm e}-x \right)}}-x -2 \,{\mathrm e}^{-\frac{x -2}{\left(2 x +1\right) \left({\mathrm e}-x \right)}}$&$51$\\ norman&$\frac{\left(-\frac{1}{2}-2 \,{\mathrm e}^{2}+{\mathrm e}\right) x +\left(2-4 \,{\mathrm e}\right) x \,{\mathrm e}^{\frac{2-x}{\left(2 x +1\right) {\mathrm e}-2 x^{2}-x}}+\left(-2 \,{\mathrm e}+1\right) x \,{\mathrm e}^{\frac{4-2 x}{\left(2 x +1\right) {\mathrm e}-2 x^{2}-x}}+2 x^{3}+4 x^{2} {\mathrm e}^{\frac{2-x}{\left(2 x +1\right) {\mathrm e}-2 x^{2}-x}}+2 x^{2} {\mathrm e}^{\frac{4-2 x}{\left(2 x +1\right) {\mathrm e}-2 x^{2}-x}}-2 \,{\mathrm e} \,{\mathrm e}^{\frac{2-x}{\left(2 x +1\right) {\mathrm e}-2 x^{2}-x}}-{\mathrm e} \,{\mathrm e}^{\frac{4-2 x}{\left(2 x +1\right) {\mathrm e}-2 x^{2}-x}}-{\mathrm e}^{2}+\frac{{\mathrm e}}{2}}{\left(2 x +1\right) \left({\mathrm e}-x \right)}$&$241$\\ \hline \end{longtable}"," ",0,"-exp(-2*(x-2)/(2*x+1)/(exp(1)-x))-x-2*exp(-(x-2)/(2*x+1)/(exp(1)-x))","A"
3083,1,32,19,0.224000," ","int((-20*x+80)*ln(1/3*(-15*exp(x^2-8*x+16)-1)/exp(x^2-8*x+16))/(45*exp(x^2-8*x+16)+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 \ln \left(\frac{\left(-15 \,{\mathrm e}^{x^{2}-8 x +16}-1\right) {\mathrm e}^{-x^{2}+8 x -16}}{3}\right)^{2}}{3}$&$32$\\ risch&$\frac{1280 x}{3}-\frac{10 x^{2} \ln \left(5\right)}{3}-\frac{160 \ln \left(5\right)}{3}-\frac{5 x^{4}}{3}+\frac{80 x^{3}}{3}-160 x^{2}+\frac{80 x \ln \left(5\right)}{3}+\frac{5 i \ln \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right) \pi  \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{3}}{3}-\frac{5 i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{3} x^{2}}{3}+\frac{40 i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{3}}{3}-\frac{80 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{2}}{3}-\frac{80 i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{2}}{3}-\frac{80 i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{2}}{3}+\frac{10 i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{2} x^{2}}{3}-\frac{10 i \ln \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right) \pi  \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{2}}{3}-\frac{160 i \pi}{3}-\frac{2560}{3}+\frac{40 i \pi  x \,\mathrm{csgn}\left(i \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{2}}{3}+\frac{80 i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)}{3}+\frac{5 i \ln \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{2}}{3}+\frac{40 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{2}}{3}+\frac{5 i \ln \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right) \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{2}}{3}+\frac{80 i x \pi}{3}-\frac{5 i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{2} x^{2}}{3}-\frac{5 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{2} x^{2}}{3}-\frac{10 i \pi  \,x^{2}}{3}-\frac{80 i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{3}}{3}+\frac{10 i \ln \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right) \pi}{3}+\frac{160 i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)^{2}}{3}+\frac{5 i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right) x^{2}}{3}-\frac{5 i \ln \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right) \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)}{3}-\frac{40 i \pi  x \,\mathrm{csgn}\left(i \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x -4\right)^{2}} \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)\right)}{3}+\left(\frac{10 x^{2}}{3}-\frac{80 x}{3}+\frac{160}{3}-\frac{10 \ln \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)}{3}\right) \ln \left({\mathrm e}^{\left(x -4\right)^{2}}\right)+\frac{10 \ln \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right) \ln \left(5\right)}{3}+\frac{5 \ln \left({\mathrm e}^{\left(x -4\right)^{2}}+\frac{1}{15}\right)^{2}}{3}$&$890$\\ \hline \end{longtable}"," ",0,"5/3*ln(1/3*(-15*exp(x^2-8*x+16)-1)/exp(x^2-8*x+16))^2","A"
3084,1,22,21,0.578000," ","int(((x+1)*exp(x)^2*ln(x)*ln((x+1)/ln(x))+(x*exp(x)^2-54*x^3+54*x)*ln(x)+(-x-1)*exp(x)^2)/(x+1)/exp(x)^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$27 x^{2} {\mathrm e}^{-2 x}+\ln \left(\frac{x +1}{\ln \left(x \right)}\right) x$&$22$\\ risch&$x \ln \left(x +1\right)+\frac{x \left(-i {\mathrm e}^{2 x} \pi  \,\mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)}{\ln \left(x \right)}\right)+i {\mathrm e}^{2 x} \pi  \,\mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)}{\ln \left(x \right)}\right)^{2}+i {\mathrm e}^{2 x} \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)}{\ln \left(x \right)}\right)^{2}-i {\mathrm e}^{2 x} \pi  \mathrm{csgn}\left(\frac{i \left(x +1\right)}{\ln \left(x \right)}\right)^{3}-2 \,{\mathrm e}^{2 x} \ln \left(\ln \left(x \right)\right)+54 x \right) {\mathrm e}^{-2 x}}{2}$&$140$\\ \hline \end{longtable}"," ",0,"27*x^2/exp(x)^2+ln((x+1)/ln(x))*x","A"
3085,1,17,21,0.049000," ","int((-56*x^2+16*x+40)/(x^4+10*x^3+25*x^2)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-3} \left(56 x -8\right)}{\left(5+x \right) x}$&$17$\\ gosper&$\frac{8 \left(7 x -1\right) {\mathrm e}^{-3}}{x \left(5+x \right)}$&$20$\\ default&$8 \,{\mathrm e}^{-3} \left(\frac{36}{5 \left(5+x \right)}-\frac{1}{5 x}\right)$&$20$\\ norman&$\frac{56 \,{\mathrm e}^{-3} x -8 \,{\mathrm e}^{-3}}{\left(5+x \right) x}$&$24$\\ \hline \end{longtable}"," ",0,"exp(-3)*(56*x-8)/(5+x)/x","A"
3086,1,23,19,0.040000," ","int(1/3*((3-x)*ln(x)^2-3*x*ln(x)+3*x)*exp(1/3*((x+12)*ln(x)+3*x)/ln(x))/x^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{{\mathrm e}^{\frac{\left(x +12\right) \ln \left(x \right)+3 x}{3 \ln \left(x \right)}}}{x}$&$23$\\ risch&$-\frac{{\mathrm e}^{\frac{x \ln \left(x \right)+12 \ln \left(x \right)+3 x}{3 \ln \left(x \right)}}}{x}$&$25$\\ \hline \end{longtable}"," ",0,"-exp(1/3*((x+12)*ln(x)+3*x)/ln(x))/x","A"
3087,1,31,23,0.051000," ","int((((15*x^4+108*x^3)*ln(x)^3+(-4*x^5-87*x^4-432*x^3)*ln(x)^2+(7*x^5+105*x^4+432*x^3)*ln(x))*ln(ln(x))+(3*x^4+27*x^3)*ln(x)^2+(-x^5-21*x^4-108*x^3)*ln(x)+2*x^5+30*x^4+108*x^3)/(9*ln(x)^3+(-6*x-36)*ln(x)^2+(x^2+12*x+36)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{4} \left(x \ln \left(x \right)+9 \ln \left(x \right)-2 x -18\right) \ln \left(\ln \left(x \right)\right)}{x -3 \ln \left(x \right)+6}$&$31$\\ \hline \end{longtable}"," ",0,"-x^4*(x*ln(x)+9*ln(x)-2*x-18)/(x-3*ln(x)+6)*ln(ln(x))","A"
3088,1,21,22,0.110000," ","int((240*exp(5*x)-16*exp(2)^2-52)/(12*exp(5*x)-ln(5)-4*x*exp(2)^2-13*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(-\frac{x \,{\mathrm e}^{4}}{3}-\frac{\ln \left(5\right)}{12}-\frac{13 x}{12}+{\mathrm e}^{5 x}\right)$&$21$\\ norman&$4 \ln \left(4 x \,{\mathrm e}^{4}+\ln \left(5\right)-12 \,{\mathrm e}^{5 x}+13 x \right)$&$23$\\ derivativedivides&$4 \ln \left(60 \,{\mathrm e}^{5 x}-5 \ln \left(5\right)-20 x \,{\mathrm e}^{4}-65 x \right)$&$25$\\ default&$4 \ln \left(12 \,{\mathrm e}^{5 x}-\ln \left(5\right)-4 x \,{\mathrm e}^{4}-13 x \right)$&$25$\\ \hline \end{longtable}"," ",0,"4*ln(-1/3*x*exp(4)-1/12*ln(5)-13/12*x+exp(5*x))","A"
3089,1,5269,30,0.866000," ","int(((((x-1)*ln(x)+x^2-x)*ln(x+ln(x))^2+((4*x^2-8*x)*ln(x)+4*x^3-8*x^2)*ln(x+ln(x))-16*x^2*ln(x)-16*x^3)*ln(((x^2-x)*ln(x+ln(x))-4*x^2)/(ln(x+ln(x))+4*x))^2+(((8*x-6)*ln(x)+8*x^2-6*x)*ln(x+ln(x))^2+((24*x^2-48*x)*ln(x)+24*x^3-48*x^2)*ln(x+ln(x))-96*x^2*ln(x)-88*x^3+8*x^2)*ln(((x^2-x)*ln(x+ln(x))-4*x^2)/(ln(x+ln(x))+4*x))+((12*x-8)*ln(x)+12*x^2-8*x)*ln(x+ln(x))^2+((32*x^2-64*x)*ln(x)+32*x^3-64*x^2)*ln(x+ln(x))-128*x^2*ln(x)-112*x^3+16*x^2)/(((x-1)*ln(x)+x^2-x)*ln(x+ln(x))^2+((4*x^2-8*x)*ln(x)+4*x^3-8*x^2)*ln(x+ln(x))-16*x^2*ln(x)-16*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$5269$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
3090,1,178,26,0.092000," ","int(((5*x^14-9*x^13+32805*x^10-164025*x^9+328050*x^8-328050*x^7+164025*x^6-32805*x^5)*exp(x)^5+(-4*x^13-13*x^12-164025*x^8+656100*x^7-984150*x^6+656100*x^5-164025*x^4)*exp(x)^4+(328050*x^6-984150*x^5+984150*x^4-328050*x^3)*exp(x)^3+(-328050*x^4+656100*x^3-328050*x^2)*exp(x)^2+(164025*x^2-164025*x)*exp(x)-32805)/((6561*x^10-32805*x^9+65610*x^8-65610*x^7+32805*x^6-6561*x^5)*exp(x)^5+(-32805*x^8+131220*x^7-196830*x^6+131220*x^5-32805*x^4)*exp(x)^4+(65610*x^6-196830*x^5+196830*x^4-65610*x^3)*exp(x)^3+(-65610*x^4+131220*x^3-65610*x^2)*exp(x)^2+(32805*x^2-32805*x)*exp(x)-6561),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{5}}{6561}+\frac{4 x^{4}}{6561}+\frac{10 x^{3}}{6561}+\frac{20 x^{2}}{6561}+\frac{32840 x}{6561}+\frac{\frac{28}{2187} x^{3}-\frac{8}{243} x^{2}+\frac{7}{243} x -\frac{56}{6561}}{x^{4}-4 x^{3}+6 x^{2}-4 x +1}+\frac{x^{9} \left(4 x^{6} {\mathrm e}^{3 x}-12 x^{5} {\mathrm e}^{3 x}+12 x^{4} {\mathrm e}^{3 x}-6 \,{\mathrm e}^{2 x} x^{4}-4 x^{3} {\mathrm e}^{3 x}+12 \,{\mathrm e}^{2 x} x^{3}-6 \,{\mathrm e}^{2 x} x^{2}+4 \,{\mathrm e}^{x} x^{2}-4 \,{\mathrm e}^{x} x -1\right)}{6561 \left(x^{3}-3 x^{2}+3 x -1\right) \left(x -1\right) \left({\mathrm e}^{x} x^{2}-{\mathrm e}^{x} x -1\right)^{4}}$&$178$\\ \hline \end{longtable}"," ",0,"1/6561*x^5+4/6561*x^4+10/6561*x^3+20/6561*x^2+32840/6561*x+(28/2187*x^3-8/243*x^2+7/243*x-56/6561)/(x^4-4*x^3+6*x^2-4*x+1)+1/6561*x^9*(4*x^6*exp(3*x)-12*x^5*exp(3*x)+12*x^4*exp(3*x)-6*exp(2*x)*x^4-4*x^3*exp(3*x)+12*exp(2*x)*x^3-6*exp(2*x)*x^2+4*exp(x)*x^2-4*exp(x)*x-1)/(x^3-3*x^2+3*x-1)/(x-1)/(exp(x)*x^2-exp(x)*x-1)^4","B"
3091,1,59,24,0.148000," ","int((-172186884*x^19-258280326*x^18-602654094*x^17-693530505*x^16+1434890700*x^14+3985807500*x^13+1992903750*x^12+7971615000*x^11+18452812500*x^10+20503125000*x^7)*ln(2)/(43046721*x^24+172186884*x^23+774840978*x^22+2592369198*x^21+6356565801*x^20+15525517374*x^19+31210998489*x^18+53122842360*x^17+93382686756*x^16+137973893400*x^15+180099450000*x^14+271477777500*x^13+328796313750*x^12+330920437500*x^11+476697656250*x^10+485810156250*x^9+293878125000*x^8+512578125000*x^7+553710937500*x^6+79101562500*x^5+237304687500*x^4+439453125000*x^3+152587890625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(2\right) x^{8}}{x^{12}+2 x^{11}+7 x^{10}+\frac{145}{9} x^{9}+\frac{154}{9} x^{8}+\frac{100}{3} x^{7}+\frac{1250}{27} x^{6}+\frac{1250}{81} x^{5}+\frac{1250}{27} x^{4}+\frac{62500}{729} x^{3}+\frac{390625}{6561}}$&$59$\\ risch&$\frac{\ln \left(2\right) x^{8}}{x^{12}+2 x^{11}+7 x^{10}+\frac{145}{9} x^{9}+\frac{154}{9} x^{8}+\frac{100}{3} x^{7}+\frac{1250}{27} x^{6}+\frac{1250}{81} x^{5}+\frac{1250}{27} x^{4}+\frac{62500}{729} x^{3}+\frac{390625}{6561}}$&$59$\\ gosper&$\frac{6561 x^{8} \ln \left(2\right)}{6561 x^{12}+13122 x^{11}+45927 x^{10}+105705 x^{9}+112266 x^{8}+218700 x^{7}+303750 x^{6}+101250 x^{5}+303750 x^{4}+562500 x^{3}+390625}$&$62$\\ norman&$\frac{6561 x^{8} \ln \left(2\right)}{6561 x^{12}+13122 x^{11}+45927 x^{10}+105705 x^{9}+112266 x^{8}+218700 x^{7}+303750 x^{6}+101250 x^{5}+303750 x^{4}+562500 x^{3}+390625}$&$62$\\ \hline \end{longtable}"," ",0,"ln(2)*x^8/(x^12+2*x^11+7*x^10+145/9*x^9+154/9*x^8+100/3*x^7+1250/27*x^6+1250/81*x^5+1250/27*x^4+62500/729*x^3+390625/6561)","B"
3092,1,403,22,2.907000," ","int((-30*x*exp(1)*exp(15*x*exp(1))^2*ln(4/x^2)^2+(4*exp(15*x*exp(1))^2-30*x*exp(1)*exp(15*x*exp(1)))*ln(4/x^2)+4*exp(15*x*exp(1))-x)/(x*exp(15*x*exp(1))^4*ln(4/x^2)^4+4*x*exp(15*x*exp(1))^3*ln(4/x^2)^3+(2*x^2+8*x)*exp(15*x*exp(1))^2*ln(4/x^2)^2+(4*x^2+8*x)*exp(15*x*exp(1))*ln(4/x^2)+x^3+4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4}{-8-4 x +{\mathrm e}^{30 x \,{\mathrm e}} \pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-4 \,{\mathrm e}^{30 x \,{\mathrm e}} \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}+6 \,{\mathrm e}^{30 x \,{\mathrm e}} \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}-4 \,{\mathrm e}^{30 x \,{\mathrm e}} \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-16 \ln \left(2\right) {\mathrm e}^{15 x \,{\mathrm e}}+16 \,{\mathrm e}^{15 x \,{\mathrm e}} \ln \left(x \right)-16 \ln \left(2\right)^{2} {\mathrm e}^{30 x \,{\mathrm e}}-16 \,{\mathrm e}^{30 x \,{\mathrm e}} \ln \left(x \right)^{2}-4 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{15 x \,{\mathrm e}}+32 \,{\mathrm e}^{30 x \,{\mathrm e}} \ln \left(2\right) \ln \left(x \right)-16 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{30 x \,{\mathrm e}} \ln \left(x \right)-8 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{30 x \,{\mathrm e}}-8 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{30 x \,{\mathrm e}}+8 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{30 x \,{\mathrm e}} \ln \left(x \right)+{\mathrm e}^{30 x \,{\mathrm e}} \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}+8 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{30 x \,{\mathrm e}} \ln \left(x \right)+8 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{15 x \,{\mathrm e}}-4 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{15 x \,{\mathrm e}}+16 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{30 x \,{\mathrm e}}}$&$403$\\ \hline \end{longtable}"," ",0,"-4/(-8-4*x+exp(30*x*exp(1))*Pi^2*csgn(I*x)^4*csgn(I*x^2)^2-4*exp(30*x*exp(1))*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3+6*exp(30*x*exp(1))*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4-4*exp(30*x*exp(1))*Pi^2*csgn(I*x)*csgn(I*x^2)^5-16*ln(2)*exp(15*x*exp(1))+16*exp(15*x*exp(1))*ln(x)-16*ln(2)^2*exp(30*x*exp(1))-16*exp(30*x*exp(1))*ln(x)^2-4*I*Pi*csgn(I*x)^2*csgn(I*x^2)*exp(15*x*exp(1))+32*exp(30*x*exp(1))*ln(2)*ln(x)-16*I*Pi*csgn(I*x)*csgn(I*x^2)^2*exp(30*x*exp(1))*ln(x)-8*I*Pi*ln(2)*csgn(I*x)^2*csgn(I*x^2)*exp(30*x*exp(1))-8*I*Pi*ln(2)*csgn(I*x^2)^3*exp(30*x*exp(1))+8*I*Pi*csgn(I*x)^2*csgn(I*x^2)*exp(30*x*exp(1))*ln(x)+exp(30*x*exp(1))*Pi^2*csgn(I*x^2)^6+8*I*Pi*csgn(I*x^2)^3*exp(30*x*exp(1))*ln(x)+8*I*Pi*csgn(I*x)*csgn(I*x^2)^2*exp(15*x*exp(1))-4*I*Pi*csgn(I*x^2)^3*exp(15*x*exp(1))+16*I*Pi*ln(2)*csgn(I*x)*csgn(I*x^2)^2*exp(30*x*exp(1)))","C"
3093,1,23,24,0.042000," ","int(((-6*exp(4)-x^7)*exp(exp(4)/x^6)+2*x^7*ln(2)+x^8+2*x^7)/((x^7*exp(exp(4)/x^6)-2*x^7*ln(2)-x^8-3*x^7)*ln(-exp(exp(4)/x^6)+2*ln(2)+3+x)-x^8*exp(exp(4)/x^6)+2*x^8*ln(2)+x^9+3*x^8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(-{\mathrm e}^{\frac{{\mathrm e}^{4}}{x^{6}}}+2 \ln \left(2\right)+3+x \right)-x \right)$&$23$\\ \hline \end{longtable}"," ",0,"ln(ln(-exp(exp(4)/x^6)+2*ln(2)+3+x)-x)","A"
3094,1,68,28,0.480000," ","int(((6*x^7+24*x^6-76*x^5-52*x^4+142*x^3+24*x^2-72*x)*ln((3*x^3-8*x^2-3*x+9)/(3*x^2-3))-24*x^6-96*x^5+304*x^4+208*x^3-568*x^2-96*x+288)/(3*x^8-8*x^7-6*x^6+17*x^5+3*x^4-9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16+x^{2} \ln \left(\frac{3 x^{3}-8 x^{2}-3 x +9}{3 x^{2}-3}\right)^{2}-8 x \ln \left(\frac{3 x^{3}-8 x^{2}-3 x +9}{3 x^{2}-3}\right)}{x^{2}}$&$68$\\ default&$-\ln \left(x +1\right)^{2}+\frac{16}{x^{2}}+\frac{8 \ln \left(3\right)}{x}-\ln \left(x -1\right)^{2}-2 \ln \left(x -1\right) \ln \left(\frac{x}{2}+\frac{1}{2}\right)-2 \ln \left(x -1\right) \ln \left(\frac{3 x^{3}-8 x^{2}-3 x +9}{x^{2}-1}\right)-2 \left(\ln \left(x +1\right)-\ln \left(\frac{x}{2}+\frac{1}{2}\right)\right) \ln \left(-\frac{x}{2}+\frac{1}{2}\right)-2 \ln \left(x +1\right) \ln \left(\frac{3 x^{3}-8 x^{2}-3 x +9}{x^{2}-1}\right)-2 \ln \left(3\right) \ln \left(3 x^{3}-8 x^{2}-3 x +9\right)+2 \ln \left(3\right) \ln \left(x -1\right)+2 \ln \left(3\right) \ln \left(x +1\right)+2 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha  =\RootOf \left(3 \textit{\_Z}^{3}-8 \textit{\_Z}^{2}-3 \textit{\_Z} +9\right)}{\sum}\left(\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{3 x^{3}-8 x^{2}-3 x +9}{x^{2}-1}\right)-\frac{\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right)^{2}}{2}-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{-3 \underline{\hspace{1.25 ex}}\alpha  +8+\sqrt{-27 \underline{\hspace{1.25 ex}}\alpha^{2}+48 \underline{\hspace{1.25 ex}}\alpha  +100}-6 x}{-9 \underline{\hspace{1.25 ex}}\alpha  +8+\sqrt{-27 \underline{\hspace{1.25 ex}}\alpha^{2}+48 \underline{\hspace{1.25 ex}}\alpha  +100}}\right)-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{3 \underline{\hspace{1.25 ex}}\alpha  -8+\sqrt{-27 \underline{\hspace{1.25 ex}}\alpha^{2}+48 \underline{\hspace{1.25 ex}}\alpha  +100}+6 x}{9 \underline{\hspace{1.25 ex}}\alpha  -8+\sqrt{-27 \underline{\hspace{1.25 ex}}\alpha^{2}+48 \underline{\hspace{1.25 ex}}\alpha  +100}}\right)-\dilog \left(\frac{-3 \underline{\hspace{1.25 ex}}\alpha  +8+\sqrt{-27 \underline{\hspace{1.25 ex}}\alpha^{2}+48 \underline{\hspace{1.25 ex}}\alpha  +100}-6 x}{-9 \underline{\hspace{1.25 ex}}\alpha  +8+\sqrt{-27 \underline{\hspace{1.25 ex}}\alpha^{2}+48 \underline{\hspace{1.25 ex}}\alpha  +100}}\right)-\dilog \left(\frac{3 \underline{\hspace{1.25 ex}}\alpha  -8+\sqrt{-27 \underline{\hspace{1.25 ex}}\alpha^{2}+48 \underline{\hspace{1.25 ex}}\alpha  +100}+6 x}{9 \underline{\hspace{1.25 ex}}\alpha  -8+\sqrt{-27 \underline{\hspace{1.25 ex}}\alpha^{2}+48 \underline{\hspace{1.25 ex}}\alpha  +100}}\right)+\dilog \left(\frac{x -1}{\underline{\hspace{1.25 ex}}\alpha  -1}\right)+\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{x -1}{\underline{\hspace{1.25 ex}}\alpha  -1}\right)+\dilog \left(\frac{x +1}{\underline{\hspace{1.25 ex}}\alpha  +1}\right)+\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{x +1}{\underline{\hspace{1.25 ex}}\alpha  +1}\right)\right)\right)+2 \dilog \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+22 \textit{\_Z} +1, \mathit{index} =3\right)-x -1}{\RootOf \left(3 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+22 \textit{\_Z} +1, \mathit{index} =3\right)}\right)+2 \dilog \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+22 \textit{\_Z} +1, \mathit{index} =1\right)-x -1}{\RootOf \left(3 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+22 \textit{\_Z} +1, \mathit{index} =1\right)}\right)+2 \dilog \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+22 \textit{\_Z} +1, \mathit{index} =2\right)-x -1}{\RootOf \left(3 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+22 \textit{\_Z} +1, \mathit{index} =2\right)}\right)+2 \dilog \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}+\textit{\_Z}^{2}-10 \textit{\_Z} +1, \mathit{index} =1\right)-x +1}{\RootOf \left(3 \textit{\_Z}^{3}+\textit{\_Z}^{2}-10 \textit{\_Z} +1, \mathit{index} =1\right)}\right)+2 \dilog \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}+\textit{\_Z}^{2}-10 \textit{\_Z} +1, \mathit{index} =2\right)-x +1}{\RootOf \left(3 \textit{\_Z}^{3}+\textit{\_Z}^{2}-10 \textit{\_Z} +1, \mathit{index} =2\right)}\right)+2 \dilog \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}+\textit{\_Z}^{2}-10 \textit{\_Z} +1, \mathit{index} =3\right)-x +1}{\RootOf \left(3 \textit{\_Z}^{3}+\textit{\_Z}^{2}-10 \textit{\_Z} +1, \mathit{index} =3\right)}\right)+2 \ln \left(x -1\right) \ln \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}+\textit{\_Z}^{2}-10 \textit{\_Z} +1, \mathit{index} =1\right)-x +1}{\RootOf \left(3 \textit{\_Z}^{3}+\textit{\_Z}^{2}-10 \textit{\_Z} +1, \mathit{index} =1\right)}\right)+2 \ln \left(x -1\right) \ln \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}+\textit{\_Z}^{2}-10 \textit{\_Z} +1, \mathit{index} =2\right)-x +1}{\RootOf \left(3 \textit{\_Z}^{3}+\textit{\_Z}^{2}-10 \textit{\_Z} +1, \mathit{index} =2\right)}\right)+2 \ln \left(x -1\right) \ln \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}+\textit{\_Z}^{2}-10 \textit{\_Z} +1, \mathit{index} =3\right)-x +1}{\RootOf \left(3 \textit{\_Z}^{3}+\textit{\_Z}^{2}-10 \textit{\_Z} +1, \mathit{index} =3\right)}\right)+2 \ln \left(x +1\right) \ln \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+22 \textit{\_Z} +1, \mathit{index} =1\right)-x -1}{\RootOf \left(3 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+22 \textit{\_Z} +1, \mathit{index} =1\right)}\right)+2 \ln \left(x +1\right) \ln \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+22 \textit{\_Z} +1, \mathit{index} =2\right)-x -1}{\RootOf \left(3 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+22 \textit{\_Z} +1, \mathit{index} =2\right)}\right)+2 \ln \left(x +1\right) \ln \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+22 \textit{\_Z} +1, \mathit{index} =3\right)-x -1}{\RootOf \left(3 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+22 \textit{\_Z} +1, \mathit{index} =3\right)}\right)-\frac{8 \ln \left(\frac{3 x^{3}-8 x^{2}-3 x +9}{x^{2}-1}\right)}{x}$&$1077$\\ risch&$\text{Expression too large to display}$&$6674$\\ \hline \end{longtable}"," ",0,"(16+x^2*ln((3*x^3-8*x^2-3*x+9)/(3*x^2-3))^2-8*x*ln((3*x^3-8*x^2-3*x+9)/(3*x^2-3)))/x^2","B"
3095,1,41,12,0.039000," ","int(1/5000*((2*x-3)*exp(x)^4+(240*x-480)*exp(x)^3+(9600*x-28800)*exp(x)^2+(128000*x-768000)*exp(x)-7680000)/x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{256}{x^{6}}+\frac{24 \,{\mathrm e}^{2 x}}{25 x^{6}}+\frac{{\mathrm e}^{4 x}}{10000 x^{6}}+\frac{2 \,{\mathrm e}^{3 x}}{125 x^{6}}+\frac{128 \,{\mathrm e}^{x}}{5 x^{6}}$&$41$\\ risch&$\frac{256}{x^{6}}+\frac{24 \,{\mathrm e}^{2 x}}{25 x^{6}}+\frac{{\mathrm e}^{4 x}}{10000 x^{6}}+\frac{2 \,{\mathrm e}^{3 x}}{125 x^{6}}+\frac{128 \,{\mathrm e}^{x}}{5 x^{6}}$&$41$\\ \hline \end{longtable}"," ",0,"256/x^6+24/25*exp(x)^2/x^6+1/10000/x^6*exp(x)^4+2/125/x^6*exp(x)^3+128/5/x^6*exp(x)","B"
3096,0,0,28,0.048000," ","int((((-4*x+4)*exp(x)+4*x^2-12)*ln(x^2)+(x^2+x-2)*exp(x)-x^3-x^2-5*x+6)*exp((-exp(x)+x^2-5*x+3)/x)/(16*x^2*ln(x^2)^2+(-8*x^3-16*x^2)*ln(x^2)+x^4+4*x^3+4*x^2),x)","\[\int \frac{\left(\left(\left(-4 x +4\right) {\mathrm e}^{x}+4 x^{2}-12\right) \ln \left(x^{2}\right)+\left(x^{2}+x -2\right) {\mathrm e}^{x}-x^{3}-x^{2}-5 x +6\right) {\mathrm e}^{\frac{-{\mathrm e}^{x}+x^{2}-5 x +3}{x}}}{16 x^{2} \ln \left(x^{2}\right)^{2}+\left(-8 x^{3}-16 x^{2}\right) \ln \left(x^{2}\right)+x^{4}+4 x^{3}+4 x^{2}}\, dx\]"," ",0,"int((((-4*x+4)*exp(x)+4*x^2-12)*ln(x^2)+(x^2+x-2)*exp(x)-x^3-x^2-5*x+6)*exp((-exp(x)+x^2-5*x+3)/x)/(16*x^2*ln(x^2)^2+(-8*x^3-16*x^2)*ln(x^2)+x^4+4*x^3+4*x^2),x)","F"
3097,1,19,22,0.023000," ","int(-2*exp(2*x-3)+(1-2*x)*exp(-x^2+x-22),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-x^{2}+x -22}-{\mathrm e}^{2 x -3}$&$19$\\ norman&${\mathrm e}^{-x^{2}+x -22}-{\mathrm e}^{2 x -3}$&$19$\\ risch&${\mathrm e}^{-x^{2}+x -22}-{\mathrm e}^{2 x -3}$&$19$\\ \hline \end{longtable}"," ",0,"exp(-x^2+x-22)-exp(2*x-3)","A"
3098,1,25,20,0.027000," ","int((4*x^6+6*x^5+x^3+2)/(x^7+2*x^6+x^4-24*x^3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(x \right)+\ln \left(x^{6}+2 x^{5}+x^{3}-24 x^{2}-1\right)$&$25$\\ norman&$-2 \ln \left(x \right)+\ln \left(x^{6}+2 x^{5}+x^{3}-24 x^{2}-1\right)$&$25$\\ risch&$-2 \ln \left(x \right)+\ln \left(x^{6}+2 x^{5}+x^{3}-24 x^{2}-1\right)$&$25$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+ln(x^6+2*x^5+x^3-24*x^2-1)","A"
3099,1,27,24,0.053000," ","int(((-45*x^2+20*x)*exp(x)^2+(-15*x^5-50*x^4+20*x^3)*exp(x)-45*x^6+20*x^5)/(exp(x)^2+2*exp(x)*x^2+x^4)/exp(x^2/(x^2+exp(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-15 x^{3}+10 x^{2}\right) {\mathrm e}^{-\frac{x^{2}}{x^{2}+{\mathrm e}^{x}}}$&$27$\\ \hline \end{longtable}"," ",0,"(-15*x^3+10*x^2)*exp(-x^2/(x^2+exp(x)))","A"
3100,1,50,25,0.364000," ","int((((-4*x*exp(x)^2-12*exp(x)*x)*exp(x^2)-2*exp(x)^2)*ln(5/(3+exp(x)))+(4*x*exp(x)^2+12*exp(x)*x)*exp(x^2)^2+2*exp(x)^2*exp(x^2)+exp(x)^2+3*exp(x))*exp(ln(5/(3+exp(x)))^2-2*exp(x^2)*ln(5/(3+exp(x)))+exp(x^2)^2+3)/(4*exp(x)+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(3+{\mathrm e}^{x}\right)^{-2 \ln \left(5\right)} \left(3+{\mathrm e}^{x}\right)^{2 \,{\mathrm e}^{x^{2}}} \left(\frac{1}{25}\right)^{{\mathrm e}^{x^{2}}} {\mathrm e}^{x +3+\ln \left(5\right)^{2}+\ln \left(3+{\mathrm e}^{x}\right)^{2}+{\mathrm e}^{2 x^{2}}}}{4}$&$50$\\ \hline \end{longtable}"," ",0,"1/4*(3+exp(x))^(-2*ln(5))*(3+exp(x))^(2*exp(x^2))*(1/25)^exp(x^2)*exp(x+3+ln(5)^2+ln(3+exp(x))^2+exp(2*x^2))","A"
3101,1,21,26,0.044000," ","int(((exp(x*ln(x)-x)-x*ln(x))*ln(-exp(x*ln(x)-x)+x*ln(x))+(x*ln(x)^2+x)*exp(x*ln(x)-x)-x*ln(x)^2+(-x^2-x)*ln(x))/(x*exp(x*ln(x)-x)-x^2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-x^{x} {\mathrm e}^{-x}+x \ln \left(x \right)\right) \ln \left(x \right)+x$&$21$\\ \hline \end{longtable}"," ",0,"ln(-x^x*exp(-x)+x*ln(x))*ln(x)+x","A"
3102,1,39,28,0.063000," ","int((((-16*x^2-8*x)*exp(x)-16*x^3-8*x^2)*exp(4*x+4)*ln(exp(x)+x)^2+(8*exp(x)*x^2+8*x^2)*exp(4*x+4)*ln(exp(x)+x)+((-16*x^5+4*x^4)*exp(x)-16*x^6+4*x^5)*exp(4*x+4))/((25*exp(x)+25*x)*ln(exp(x)+x)^4+((-10*exp(x)*x^2-10*x^3)*exp(4*x+4)+50*exp(x)*x^3+50*x^4)*ln(exp(x)+x)^2+(exp(x)*x^4+x^5)*exp(4*x+4)^2+(-10*x^5*exp(x)-10*x^6)*exp(4*x+4)+25*x^6*exp(x)+25*x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x^{2} {\mathrm e}^{4 x +4}}{5 \left(x^{2} {\mathrm e}^{4 x +4}-5 x^{3}-5 \ln \left({\mathrm e}^{x}+x \right)^{2}\right)}$&$39$\\ \hline \end{longtable}"," ",0,"4/5/(x^2*exp(4*x+4)-5*x^3-5*ln(exp(x)+x)^2)*x^2*exp(4*x+4)","A"
3103,1,28,20,0.109000," ","int((-4*x^2*ln(x)^2-3*ln(2/5)-3*I*Pi-3*x^2)*exp(3/2/ln(x))/(2*x*(ln(2/5)+I*Pi)^2+4*x^3*(ln(2/5)+I*Pi)+2*x^5)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{\frac{3}{2 \ln \left(x \right)}}}{-i \pi -x^{2}+\ln \left(5\right)-\ln \left(2\right)}$&$28$\\ \hline \end{longtable}"," ",0,"-1/(-I*Pi-x^2+ln(5)-ln(2))*exp(3/2/ln(x))","A"
3104,1,1093,31,0.425000," ","int(((50000000*x^9+393750000*x^8+1300000000*x^7+2275000000*x^6+2100000000*x^5+612500000*x^4-700000000*x^3-825000000*x^2-350000000*x-56250000)*exp(x)^8*ln(x)^4+((-200000000*x^10-1600000000*x^9-5375000000*x^8-9600000000*x^7-9100000000*x^6-2800000000*x^5+3150000000*x^4+4000000000*x^3+1900000000*x^2+400000000*x+25000000)*exp(x)^8+(-150000000*x^10-900000000*x^9-1650000000*x^8+600000000*x^7+6300000000*x^6+8400000000*x^5+2100000000*x^4-5400000000*x^3-6150000000*x^2-2700000000*x-450000000)*exp(x)^6)*ln(x)^3+((300000000*x^11+2437500000*x^10+8325000000*x^9+15150000000*x^8+14700000000*x^7+4725000000*x^6-5250000000*x^5-7050000000*x^4-3600000000*x^3-862500000*x^2-75000000*x)*exp(x)^8+(450000000*x^11+2775000000*x^10+5325000000*x^9-1350000000*x^8-19800000000*x^7-28350000000*x^6-9450000000*x^5+16200000000*x^4+21150000000*x^3+10575000000*x^2+2325000000*x+150000000)*exp(x)^6+(150000000*x^11+637500000*x^10-3600000000*x^8-4500000000*x^7+4725000000*x^6+12600000000*x^5+2250000000*x^4-14850000000*x^3-17062500000*x^2-7800000000*x-1350000000)*exp(x)^4)*ln(x)^2+((-200000000*x^12-1650000000*x^11-5725000000*x^10-10600000000*x^9-10500000000*x^8-3500000000*x^7+3850000000*x^6+5400000000*x^5+2900000000*x^4+750000000*x^3+75000000*x^2)*exp(x)^8+(-450000000*x^12-2850000000*x^11-5700000000*x^10+900000000*x^9+20700000000*x^8+31500000000*x^7+12600000000*x^6-16200000000*x^5-23850000000*x^4-13050000000*x^3-3300000000*x^2-300000000*x)*exp(x)^6+(-300000000*x^12-1350000000*x^11-225000000*x^10+7500000000*x^9+10800000000*x^8-8100000000*x^7-28350000000*x^6-10800000000*x^5+27000000000*x^4+37050000000*x^3+19575000000*x^2+4500000000*x+300000000)*exp(x)^4+(-50000000*x^12-150000000*x^11+350000000*x^10+1200000000*x^9-900000000*x^8-3900000000*x^7+2100000000*x^6+10800000000*x^5+1950000000*x^4-17150000000*x^3-20850000000*x^2-10000000000*x-1800000000)*exp(x)^2)*ln(x)+(50000000*x^13+418750000*x^12+1475000000*x^11+2775000000*x^10+2800000000*x^9+962500000*x^8-1050000000*x^7-1525000000*x^6-850000000*x^5-231250000*x^4-25000000*x^3)*exp(x)^8+(150000000*x^13+975000000*x^12+2025000000*x^11-150000000*x^10-7200000000*x^9-11550000000*x^8-5250000000*x^7+5400000000*x^6+8850000000*x^5+5175000000*x^4+1425000000*x^3+150000000*x^2)*exp(x)^6+(150000000*x^13+712500000*x^12+225000000*x^11-3900000000*x^10-6300000000*x^9+3375000000*x^8+15750000000*x^7+8550000000*x^6-12150000000*x^5-19987500000*x^4-11775000000*x^3-3150000000*x^2-300000000*x)*exp(x)^4+(50000000*x^13+175000000*x^12-325000000*x^11-1450000000*x^10+500000000*x^9+4650000000*x^8-150000000*x^7-10800000000*x^6-5250000000*x^5+14375000000*x^4+21475000000*x^3+12050000000*x^2+2900000000*x+200000000)*exp(x)^2+18750000*x^12-75000000*x^10-337500000*x^8-900000000*x^7+1575000000*x^6+5400000000*x^5+1968750000*x^4-6900000000*x^3-9450000000*x^2-4800000000*x-900000000)/x^10,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6250000 \left(x^{8}+8 x^{7}+28 x^{6}+56 x^{5}+70 x^{4}+56 x^{3}+28 x^{2}+8 x +1\right) {\mathrm e}^{8 x} \ln \left(x \right)^{4}}{x^{9}}-\frac{25000000 \,{\mathrm e}^{6 x} \left({\mathrm e}^{2 x} x^{9}+8 \,{\mathrm e}^{2 x} x^{8}+x^{9}+28 \,{\mathrm e}^{2 x} x^{7}+6 x^{8}+56 x^{6} {\mathrm e}^{2 x}+12 x^{7}+70 x^{5} {\mathrm e}^{2 x}+56 \,{\mathrm e}^{2 x} x^{4}-42 x^{5}+28 \,{\mathrm e}^{2 x} x^{3}-84 x^{4}+8 \,{\mathrm e}^{2 x} x^{2}-84 x^{3}+x \,{\mathrm e}^{2 x}-48 x^{2}-15 x -2\right) \ln \left(x \right)^{3}}{x^{9}}+\frac{37500000 \,{\mathrm e}^{4 x} \left(4+28 x +56 \,{\mathrm e}^{4 x} x^{5}-168 \,{\mathrm e}^{2 x} x^{4}-24 x^{7}+x^{10}+4 x^{9}-42 x^{6}+84 x^{4}+120 x^{3}+81 x^{2}-96 \,{\mathrm e}^{2 x} x^{3}+8 x^{3} {\mathrm e}^{4 x}-168 x^{5} {\mathrm e}^{2 x}-30 \,{\mathrm e}^{2 x} x^{2}-4 x \,{\mathrm e}^{2 x}+28 x^{4} {\mathrm e}^{4 x}+x^{2} {\mathrm e}^{4 x}+{\mathrm e}^{4 x} x^{10}+2 \,{\mathrm e}^{2 x} x^{10}+8 \,{\mathrm e}^{4 x} x^{9}+12 \,{\mathrm e}^{2 x} x^{9}+28 \,{\mathrm e}^{4 x} x^{8}+24 \,{\mathrm e}^{2 x} x^{8}+56 \,{\mathrm e}^{4 x} x^{7}+70 \,{\mathrm e}^{4 x} x^{6}-84 x^{6} {\mathrm e}^{2 x}\right) \ln \left(x \right)^{2}}{x^{9}}-\frac{25000000 \,{\mathrm e}^{2 x} \left(-8-52 x +28 \,{\mathrm e}^{6 x} x^{5}-252 \,{\mathrm e}^{4 x} x^{5}+8 \,{\mathrm e}^{6 x} x^{4}+360 \,{\mathrm e}^{2 x} x^{4}+{\mathrm e}^{6 x} x^{3}+x^{11}+6 x^{7}-24 x^{8}+2 x^{10}-8 x^{9}+84 x^{6}+84 x^{5}-48 x^{4}-159 x^{3}-134 x^{2}+243 \,{\mathrm e}^{2 x} x^{3}-45 x^{3} {\mathrm e}^{4 x}+252 x^{5} {\mathrm e}^{2 x}+84 \,{\mathrm e}^{2 x} x^{2}+12 x \,{\mathrm e}^{2 x}-144 x^{4} {\mathrm e}^{4 x}-6 x^{2} {\mathrm e}^{4 x}+{\mathrm e}^{6 x} x^{11}+3 \,{\mathrm e}^{4 x} x^{11}+3 \,{\mathrm e}^{2 x} x^{11}+8 \,{\mathrm e}^{6 x} x^{10}+18 \,{\mathrm e}^{4 x} x^{10}+12 \,{\mathrm e}^{2 x} x^{10}+28 \,{\mathrm e}^{6 x} x^{9}+36 \,{\mathrm e}^{4 x} x^{9}+56 \,{\mathrm e}^{6 x} x^{8}-72 \,{\mathrm e}^{2 x} x^{8}+70 \,{\mathrm e}^{6 x} x^{7}-126 \,{\mathrm e}^{4 x} x^{7}-126 \,{\mathrm e}^{2 x} x^{7}+56 \,{\mathrm e}^{6 x} x^{6}-252 \,{\mathrm e}^{4 x} x^{6}\right) \ln \left(x \right)}{x^{9}}+\frac{100000000+600000000 x +50000000 \,{\mathrm e}^{8 x} x^{5}-1200000000 \,{\mathrm e}^{6 x} x^{5}+4500000000 \,{\mathrm e}^{4 x} x^{5}+6250000 \,{\mathrm e}^{8 x} x^{4}-375000000 \,{\mathrm e}^{6 x} x^{4}-3975000000 \,{\mathrm e}^{2 x} x^{4}-50000000 \,{\mathrm e}^{6 x} x^{3}+6250000 x^{12}+450000000 x^{7}+337500000 x^{8}-75000000 x^{10}-525000000 x^{6}-1350000000 x^{5}-393750000 x^{4}+1150000000 x^{3}+1350000000 x^{2}-3350000000 \,{\mathrm e}^{2 x} x^{3}+1050000000 x^{3} {\mathrm e}^{4 x}-1200000000 x^{5} {\mathrm e}^{2 x}-1300000000 \,{\mathrm e}^{2 x} x^{2}-200000000 x \,{\mathrm e}^{2 x}+3037500000 x^{4} {\mathrm e}^{4 x}+150000000 x^{2} {\mathrm e}^{4 x}+6250000 \,{\mathrm e}^{8 x} x^{12}+25000000 \,{\mathrm e}^{6 x} x^{12}+37500000 \,{\mathrm e}^{4 x} x^{12}+25000000 \,{\mathrm e}^{2 x} x^{12}+50000000 \,{\mathrm e}^{8 x} x^{11}+150000000 \,{\mathrm e}^{6 x} x^{11}+150000000 \,{\mathrm e}^{4 x} x^{11}+50000000 \,{\mathrm e}^{2 x} x^{11}+175000000 \,{\mathrm e}^{8 x} x^{10}+300000000 \,{\mathrm e}^{6 x} x^{10}-200000000 \,{\mathrm e}^{2 x} x^{10}+350000000 \,{\mathrm e}^{8 x} x^{9}-900000000 \,{\mathrm e}^{4 x} x^{9}-600000000 \,{\mathrm e}^{2 x} x^{9}+437500000 \,{\mathrm e}^{8 x} x^{8}-1050000000 \,{\mathrm e}^{6 x} x^{8}-1575000000 \,{\mathrm e}^{4 x} x^{8}+150000000 \,{\mathrm e}^{2 x} x^{8}+350000000 \,{\mathrm e}^{8 x} x^{7}-2100000000 \,{\mathrm e}^{6 x} x^{7}+2100000000 \,{\mathrm e}^{2 x} x^{7}+175000000 \,{\mathrm e}^{8 x} x^{6}-2100000000 \,{\mathrm e}^{6 x} x^{6}+3150000000 \,{\mathrm e}^{4 x} x^{6}+2100000000 x^{6} {\mathrm e}^{2 x}}{x^{9}}$&$1093$\\ \hline \end{longtable}"," ",0,"6250000*(x^8+8*x^7+28*x^6+56*x^5+70*x^4+56*x^3+28*x^2+8*x+1)/x^9*exp(8*x)*ln(x)^4-25000000*exp(6*x)*(exp(2*x)*x^9+8*exp(2*x)*x^8+x^9+28*exp(2*x)*x^7+6*x^8+56*x^6*exp(2*x)+12*x^7+70*x^5*exp(2*x)+56*exp(2*x)*x^4-42*x^5+28*exp(2*x)*x^3-84*x^4+8*exp(2*x)*x^2-84*x^3+x*exp(2*x)-48*x^2-15*x-2)/x^9*ln(x)^3+37500000*exp(4*x)*(4+28*x+56*exp(4*x)*x^5-168*exp(2*x)*x^4-24*x^7+x^10+4*x^9-42*x^6+84*x^4+120*x^3+81*x^2-96*exp(2*x)*x^3+8*x^3*exp(4*x)-168*x^5*exp(2*x)-30*exp(2*x)*x^2-4*x*exp(2*x)+28*x^4*exp(4*x)+x^2*exp(4*x)+exp(4*x)*x^10+2*exp(2*x)*x^10+8*exp(4*x)*x^9+12*exp(2*x)*x^9+28*exp(4*x)*x^8+24*exp(2*x)*x^8+56*exp(4*x)*x^7+70*exp(4*x)*x^6-84*x^6*exp(2*x))/x^9*ln(x)^2-25000000*exp(2*x)*(-8-52*x+28*exp(6*x)*x^5-252*exp(4*x)*x^5+8*exp(6*x)*x^4+360*exp(2*x)*x^4+exp(6*x)*x^3+x^11+6*x^7-24*x^8+2*x^10-8*x^9+84*x^6+84*x^5-48*x^4-159*x^3-134*x^2+243*exp(2*x)*x^3-45*x^3*exp(4*x)+252*x^5*exp(2*x)+84*exp(2*x)*x^2+12*x*exp(2*x)-144*x^4*exp(4*x)-6*x^2*exp(4*x)+exp(6*x)*x^11+3*exp(4*x)*x^11+3*exp(2*x)*x^11+8*exp(6*x)*x^10+18*exp(4*x)*x^10+12*exp(2*x)*x^10+28*exp(6*x)*x^9+36*exp(4*x)*x^9+56*exp(6*x)*x^8-72*exp(2*x)*x^8+70*exp(6*x)*x^7-126*exp(4*x)*x^7-126*exp(2*x)*x^7+56*exp(6*x)*x^6-252*exp(4*x)*x^6)/x^9*ln(x)+6250000*(16+96*x+8*exp(8*x)*x^5-192*exp(6*x)*x^5+720*exp(4*x)*x^5+exp(8*x)*x^4-60*exp(6*x)*x^4-636*exp(2*x)*x^4-8*exp(6*x)*x^3+x^12+72*x^7+54*x^8-12*x^10-84*x^6-216*x^5-63*x^4+184*x^3+216*x^2-536*exp(2*x)*x^3+168*x^3*exp(4*x)-192*x^5*exp(2*x)-208*exp(2*x)*x^2-32*x*exp(2*x)+486*x^4*exp(4*x)+24*x^2*exp(4*x)+exp(8*x)*x^12+4*exp(6*x)*x^12+6*exp(4*x)*x^12+4*exp(2*x)*x^12+8*exp(8*x)*x^11+24*exp(6*x)*x^11+24*exp(4*x)*x^11+8*exp(2*x)*x^11+28*exp(8*x)*x^10+48*exp(6*x)*x^10-32*exp(2*x)*x^10+56*exp(8*x)*x^9-144*exp(4*x)*x^9-96*exp(2*x)*x^9+70*exp(8*x)*x^8-168*exp(6*x)*x^8-252*exp(4*x)*x^8+24*exp(2*x)*x^8+56*exp(8*x)*x^7-336*exp(6*x)*x^7+336*exp(2*x)*x^7+28*exp(8*x)*x^6-336*exp(6*x)*x^6+504*exp(4*x)*x^6+336*x^6*exp(2*x))/x^9","B"
3105,1,25,22,0.097000," ","int(1/3*((2*(100*x^3+12*x^2)*ln(2)-100*x^4-12*x^3)*exp(x)+2*(-300*x^2-24*x)*ln(2)+400*x^3+36*x^2)*exp(1/3*(2*(-100*x^3-12*x^2)*ln(2)+100*x^4+12*x^3)/exp(exp(x)))/exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{4 x^{2} \left(3+25 x \right) \left(2 \ln \left(2\right)-x \right) {\mathrm e}^{-{\mathrm e}^{x}}}{3}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(-4/3*x^2*(3+25*x)*(2*ln(2)-x)*exp(-exp(x)))","A"
3106,1,66,20,0.110000," ","int((4*x^2*ln(x)+(-exp(4)-2)*ln(2)^4+(-64*exp(4)-128)*ln(2)^3+(-1536*exp(4)-3072)*ln(2)^2+(-16384*exp(4)-32768)*ln(2)-65536*exp(4)-2*x^2-131072)/(x*ln(2)^4+64*x*ln(2)^3+1536*x*ln(2)^2+16384*x*ln(2)+65536*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{2 x^{2}}{16+\ln \left(2\right)}+8192+\ln \left(2\right)^{3} {\mathrm e}^{4}+48 \ln \left(2\right)^{2} {\mathrm e}^{4}+2 \ln \left(2\right)^{3}+768 \,{\mathrm e}^{4} \ln \left(2\right)+96 \ln \left(2\right)^{2}+4096 \,{\mathrm e}^{4}+1536 \ln \left(2\right)}{\left(16+\ln \left(2\right)\right)^{3} \ln \left(x \right)}$&$66$\\ risch&$\frac{\ln \left(2\right)^{4} {\mathrm e}^{4}+64 \ln \left(2\right)^{3} {\mathrm e}^{4}+2 \ln \left(2\right)^{4}+1536 \ln \left(2\right)^{2} {\mathrm e}^{4}+128 \ln \left(2\right)^{3}+16384 \,{\mathrm e}^{4} \ln \left(2\right)+3072 \ln \left(2\right)^{2}+2 x^{2}+65536 \,{\mathrm e}^{4}+32768 \ln \left(2\right)+131072}{\left(\ln \left(2\right)^{4}+64 \ln \left(2\right)^{3}+1536 \ln \left(2\right)^{2}+16384 \ln \left(2\right)+65536\right) \ln \left(x \right)}$&$92$\\ default&$\frac{\ln \left(2\right)^{4} {\mathrm e}^{4}}{\left(\ln \left(2\right)^{4}+64 \ln \left(2\right)^{3}+1536 \ln \left(2\right)^{2}+16384 \ln \left(2\right)+65536\right) \ln \left(x \right)}+\frac{64 \ln \left(2\right)^{3} {\mathrm e}^{4}}{\left(\ln \left(2\right)^{4}+64 \ln \left(2\right)^{3}+1536 \ln \left(2\right)^{2}+16384 \ln \left(2\right)+65536\right) \ln \left(x \right)}+\frac{2 \ln \left(2\right)^{4}}{\left(\ln \left(2\right)^{4}+64 \ln \left(2\right)^{3}+1536 \ln \left(2\right)^{2}+16384 \ln \left(2\right)+65536\right) \ln \left(x \right)}-\frac{4 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)}{\ln \left(2\right)^{4}+64 \ln \left(2\right)^{3}+1536 \ln \left(2\right)^{2}+16384 \ln \left(2\right)+65536}+\frac{1536 \ln \left(2\right)^{2} {\mathrm e}^{4}}{\left(\ln \left(2\right)^{4}+64 \ln \left(2\right)^{3}+1536 \ln \left(2\right)^{2}+16384 \ln \left(2\right)+65536\right) \ln \left(x \right)}+\frac{128 \ln \left(2\right)^{3}}{\left(\ln \left(2\right)^{4}+64 \ln \left(2\right)^{3}+1536 \ln \left(2\right)^{2}+16384 \ln \left(2\right)+65536\right) \ln \left(x \right)}+\frac{16384 \,{\mathrm e}^{4} \ln \left(2\right)}{\left(\ln \left(2\right)^{4}+64 \ln \left(2\right)^{3}+1536 \ln \left(2\right)^{2}+16384 \ln \left(2\right)+65536\right) \ln \left(x \right)}+\frac{3072 \ln \left(2\right)^{2}}{\left(\ln \left(2\right)^{4}+64 \ln \left(2\right)^{3}+1536 \ln \left(2\right)^{2}+16384 \ln \left(2\right)+65536\right) \ln \left(x \right)}-\frac{2 \left(-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)}{\ln \left(2\right)^{4}+64 \ln \left(2\right)^{3}+1536 \ln \left(2\right)^{2}+16384 \ln \left(2\right)+65536}+\frac{65536 \,{\mathrm e}^{4}}{\left(\ln \left(2\right)^{4}+64 \ln \left(2\right)^{3}+1536 \ln \left(2\right)^{2}+16384 \ln \left(2\right)+65536\right) \ln \left(x \right)}+\frac{32768 \ln \left(2\right)}{\left(\ln \left(2\right)^{4}+64 \ln \left(2\right)^{3}+1536 \ln \left(2\right)^{2}+16384 \ln \left(2\right)+65536\right) \ln \left(x \right)}+\frac{131072}{\left(\ln \left(2\right)^{4}+64 \ln \left(2\right)^{3}+1536 \ln \left(2\right)^{2}+16384 \ln \left(2\right)+65536\right) \ln \left(x \right)}$&$415$\\ \hline \end{longtable}"," ",0,"(2/(16+ln(2))*x^2+8192+ln(2)^3*exp(4)+48*ln(2)^2*exp(4)+2*ln(2)^3+768*exp(4)*ln(2)+96*ln(2)^2+4096*exp(4)+1536*ln(2))/(16+ln(2))^3/ln(x)","B"
3107,1,29,23,0.190000," ","int(((-x^3-3*x^2)*ln(2)*exp(x)-4*x^3*ln(2))*exp(1/2*x^3*ln(2)*exp(x)+1/2*x^4*ln(2))*ln(ln(ln(2)))^2/(2*exp(1/2*x^3*ln(2)*exp(x)+1/2*x^4*ln(2))^2-12*exp(1/2*x^3*ln(2)*exp(x)+1/2*x^4*ln(2))+18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(\ln \left(2\right)\right)\right)^{2}}{2^{\frac{{\mathrm e}^{x} x^{3}}{2}} 2^{\frac{x^{4}}{2}}-3}$&$29$\\ norman&$\frac{\ln \left(\ln \left(\ln \left(2\right)\right)\right)^{2}}{{\mathrm e}^{\frac{x^{3} \ln \left(2\right) {\mathrm e}^{x}}{2}+\frac{x^{4} \ln \left(2\right)}{2}}-3}$&$30$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(2)))^2/(2^(1/2*exp(x)*x^3)*2^(1/2*x^4)-3)","A"
3108,1,47,26,0.138000," ","int(((-2*x*exp(2)^2*ln(x)+x*exp(2)^2)*ln(x*exp(5))+((-3*x^2-x)*exp(2)^2-5*exp(2))*ln(x)+x^2*exp(2)^2+5*exp(2))/(x^4*exp(2)^2*ln(x*exp(5))^2+(2*x^5*exp(2)^2+10*x^3*exp(2))*ln(x*exp(5))+x^6*exp(2)^2+10*x^4*exp(2)+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x^{2}}-\frac{10+2 x^{2} {\mathrm e}^{2}+10 \,{\mathrm e}^{2} x}{x^{2} \left(10+2 x^{2} {\mathrm e}^{2}+2 x \,{\mathrm e}^{2} \ln \left(x \right)+10 \,{\mathrm e}^{2} x \right)}$&$47$\\ \hline \end{longtable}"," ",0,"1/x^2-(10+2*x^2*exp(2)+10*exp(2)*x)/x^2/(10+2*x^2*exp(2)+2*x*exp(2)*ln(x)+10*exp(2)*x)","A"
3109,1,19,19,0.063000," ","int((2*x^2-3*x-1)/(16*exp(x)*exp(3)-2*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\ln \left({\mathrm e}^{x}-\frac{\left(2 x +1\right) x \,{\mathrm e}^{-3}}{16}\right)$&$19$\\ norman&$-x +\ln \left(16 \,{\mathrm e}^{x} {\mathrm e}^{3}-2 x^{2}-x \right)$&$21$\\ \hline \end{longtable}"," ",0,"-x+ln(exp(x)-1/16*(2*x+1)*x*exp(-3))","A"
3110,1,10,16,0.027000," ","int(1/2*(6*x^2-3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x +\frac{3}{2 x}$&$10$\\ risch&$3 x +\frac{3}{2 x}$&$10$\\ norman&$\frac{\frac{3}{2}+3 x^{2}}{x}$&$12$\\ gosper&$\frac{\frac{3}{2}+3 x^{2}}{x}$&$13$\\ \hline \end{longtable}"," ",0,"3*x+3/2/x","A"
3111,1,17,21,0.030000," ","int((4*x^2+16*x+2)*exp(x^2+8*x+2)+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +2 x \,{\mathrm e}^{x^{2}+8 x +2}$&$17$\\ norman&$2 x +2 x \,{\mathrm e}^{x^{2}+8 x +2}$&$17$\\ risch&$2 x +2 x \,{\mathrm e}^{x^{2}+8 x +2}$&$17$\\ \hline \end{longtable}"," ",0,"2*x+2*x*exp(x^2+8*x+2)","A"
3112,1,15,17,0.036000," ","int(1/4*(15000*x^5+6250*x^4+625*x^3)*exp(9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{625 x^{4} \left(4 x +1\right)^{2} {\mathrm e}^{9}}{16}$&$15$\\ default&$\frac{{\mathrm e}^{9} \left(2500 x^{6}+1250 x^{5}+\frac{625}{4} x^{4}\right)}{4}$&$21$\\ norman&$\frac{625 x^{4} {\mathrm e}^{9}}{16}+\frac{625 \,{\mathrm e}^{9} x^{5}}{2}+625 \,{\mathrm e}^{9} x^{6}$&$23$\\ risch&$\frac{625 x^{4} {\mathrm e}^{9}}{16}+\frac{625 \,{\mathrm e}^{9} x^{5}}{2}+625 \,{\mathrm e}^{9} x^{6}$&$23$\\ \hline \end{longtable}"," ",0,"625/16*x^4*(4*x+1)^2*exp(9)","A"
3113,1,35,26,0.032000," ","int(((-4*exp(x)-4*x-4)*ln(exp(x)+2*x)+(2*exp(x)*x+4*x^2)*ln(x)+(3*x^2-x-3)*exp(x)+6*x^3+2*x^2-10*x)/(exp(x)+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+x^{2} \ln \left(x \right)-2 \ln \left({\mathrm e}^{x}+2 x \right) x -\ln \left({\mathrm e}^{x}+2 x \right)^{2}-3 x$&$35$\\ \hline \end{longtable}"," ",0,"x^3+x^2*ln(x)-2*ln(exp(x)+2*x)*x-ln(exp(x)+2*x)^2-3*x","A"
3114,1,61,24,0.082000," ","int((2*(162*x^3+90*x)*ln(3)-162*x^4+810*x^3+x^2+450*x+50)*exp((x^2*ln(5*x)-324*x^2*ln(3)^2+2*(162*x^3-810*x^2-90*x)*ln(3)-81*x^4+810*x^3-1935*x^2-450*x-25)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{x^{2} \ln \left(5 x \right)-324 x^{2} \ln \left(3\right)^{2}+2 \left(162 x^{3}-810 x^{2}-90 x \right) \ln \left(3\right)-81 x^{4}+810 x^{3}-1935 x^{2}-450 x -25}{x^{2}}}$&$61$\\ gosper&${\mathrm e}^{\frac{-324 x^{2} \ln \left(3\right)^{2}+324 x^{3} \ln \left(3\right)-81 x^{4}+x^{2} \ln \left(5 x \right)-1620 x^{2} \ln \left(3\right)+810 x^{3}-180 x \ln \left(3\right)-1935 x^{2}-450 x -25}{x^{2}}}$&$62$\\ risch&${\mathrm e}^{-\frac{324 x^{2} \ln \left(3\right)^{2}-324 x^{3} \ln \left(3\right)+81 x^{4}-x^{2} \ln \left(5 x \right)+1620 x^{2} \ln \left(3\right)-810 x^{3}+180 x \ln \left(3\right)+1935 x^{2}+450 x +25}{x^{2}}}$&$64$\\ \hline \end{longtable}"," ",0,"exp((x^2*ln(5*x)-324*x^2*ln(3)^2+2*(162*x^3-810*x^2-90*x)*ln(3)-81*x^4+810*x^3-1935*x^2-450*x-25)/x^2)","B"
3115,1,245,33,0.115000," ","int(((x^3-x^2+4)*ln(-ln(6)+4)*ln(x^3-x^2+4)+(2*x^6-2*x^5+5*x^3+2*x^2)*ln(-ln(6)+4))/((x^4-x^3+4*x)*ln(x^3-x^2+4)-x^7+x^6-4*x^4)/ln((ln(x^3-x^2+4)-x^3)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i \ln \left(-\ln \left(2\right)-\ln \left(3\right)+4\right)}{\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-\ln \left(x^{3}-x^{2}+4\right)+x^{3}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\ln \left(x^{3}-x^{2}+4\right)+x^{3}\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-\ln \left(x^{3}-x^{2}+4\right)+x^{3}\right)}{x}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i \left(-\ln \left(x^{3}-x^{2}+4\right)+x^{3}\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(-\ln \left(x^{3}-x^{2}+4\right)+x^{3}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\ln \left(x^{3}-x^{2}+4\right)+x^{3}\right)}{x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(-\ln \left(x^{3}-x^{2}+4\right)+x^{3}\right)}{x}\right)^{3}-2 \pi -2 i \ln \left(x \right)+2 i \ln \left(-\ln \left(x^{3}-x^{2}+4\right)+x^{3}\right)}$&$245$\\ \hline \end{longtable}"," ",0,"2*I*ln(-ln(2)-ln(3)+4)/(Pi*csgn(I/x)*csgn(I*(-ln(x^3-x^2+4)+x^3))*csgn(I/x*(-ln(x^3-x^2+4)+x^3))-Pi*csgn(I/x)*csgn(I/x*(-ln(x^3-x^2+4)+x^3))^2+2*Pi*csgn(I/x*(-ln(x^3-x^2+4)+x^3))^2-Pi*csgn(I*(-ln(x^3-x^2+4)+x^3))*csgn(I/x*(-ln(x^3-x^2+4)+x^3))^2-Pi*csgn(I/x*(-ln(x^3-x^2+4)+x^3))^3-2*Pi-2*I*ln(x)+2*I*ln(-ln(x^3-x^2+4)+x^3))","C"
3116,1,74,24,0.075000," ","int((-27*x*exp(x)*ln(x^2)+(54*x^4-135*x^3-162*x^2+108*x+54)*exp(x))/(x*ln(x^2)^2+(-4*x^4-2*x^3+8*x^2)*ln(x^2)+4*x^7+4*x^6-15*x^5-8*x^4+16*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{54 i {\mathrm e}^{x}}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-4 i x^{3}-2 i x^{2}+8 i x +4 i \ln \left(x \right)}$&$74$\\ \hline \end{longtable}"," ",0,"-54*I*exp(x)/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I*x^3-2*I*x^2+8*I*x+4*I*ln(x))","C"
3117,1,18,22,0.075000," ","int((-4*x*ln(2)-3*x^3-x^2+3*x+1)*exp(-4*x*ln(2)-x^3-1/2*x^2+2*x)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \left(\frac{1}{16}\right)^{x} {\mathrm e}^{-\frac{x \left(2+x \right) \left(2 x -3\right)}{2}}$&$18$\\ gosper&${\mathrm e}^{3 x -4 x \ln \left(2\right)-x^{3}-\frac{x^{2}}{2}} x$&$23$\\ norman&${\mathrm e}^{x} {\mathrm e}^{-4 x \ln \left(2\right)-x^{3}-\frac{x^{2}}{2}+2 x} x$&$25$\\ \hline \end{longtable}"," ",0,"x*(1/16)^x*exp(-1/2*x*(2+x)*(2*x-3))","A"
3118,1,35,21,0.625000," ","int(((x^5+5*x^4)*exp(x)*ln(3+ln(2))^2+((2*x^6+6*x^5-20*x^4)*exp(x)+8*x^7)*ln(3+ln(2))+(x^7+x^6-16*x^5+20*x^4)*exp(x)+7*x^8-16*x^7)/(ln(3+ln(2))^2+(2*x-4)*ln(3+ln(2))+x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{8}+x^{6} {\mathrm e}^{x}+\left(\ln \left(3+\ln \left(2\right)\right)-2\right) x^{5} {\mathrm e}^{x}}{x -2+\ln \left(3+\ln \left(2\right)\right)}$&$35$\\ default&$64 x +x^{5} {\mathrm e}^{x}+x^{7}+2 x^{6}+4 x^{5}+8 x^{4}+16 x^{3}+32 x^{2}+\frac{256}{x -2+\ln \left(3+\ln \left(2\right)\right)}+\ln \left(3+\ln \left(2\right)\right)^{6} x +\frac{\ln \left(3+\ln \left(2\right)\right)^{8}}{x -2+\ln \left(3+\ln \left(2\right)\right)}+10 \ln \left(3+\ln \left(2\right)\right)^{4} x^{2}-8 \ln \left(3+\ln \left(2\right)\right)^{3} x^{3}+6 \ln \left(3+\ln \left(2\right)\right)^{2} x^{4}-4 x^{5} \ln \left(3+\ln \left(2\right)\right)-\frac{16 \ln \left(3+\ln \left(2\right)\right)^{7}}{x -2+\ln \left(3+\ln \left(2\right)\right)}+\frac{112 \ln \left(3+\ln \left(2\right)\right)^{6}}{x -2+\ln \left(3+\ln \left(2\right)\right)}-\frac{448 \ln \left(3+\ln \left(2\right)\right)^{5}}{x -2+\ln \left(3+\ln \left(2\right)\right)}+\frac{1120 \ln \left(3+\ln \left(2\right)\right)^{4}}{x -2+\ln \left(3+\ln \left(2\right)\right)}-\frac{1792 \ln \left(3+\ln \left(2\right)\right)^{3}}{x -2+\ln \left(3+\ln \left(2\right)\right)}+\frac{1792 \ln \left(3+\ln \left(2\right)\right)^{2}}{x -2+\ln \left(3+\ln \left(2\right)\right)}-\frac{1024 \ln \left(3+\ln \left(2\right)\right)}{x -2+\ln \left(3+\ln \left(2\right)\right)}-40 \ln \left(3+\ln \left(2\right)\right)^{3} x^{2}-12 \ln \left(3+\ln \left(2\right)\right)^{5} x +60 \ln \left(3+\ln \left(2\right)\right)^{4} x -160 \ln \left(3+\ln \left(2\right)\right)^{3} x +240 \ln \left(3+\ln \left(2\right)\right)^{2} x +80 \ln \left(3+\ln \left(2\right)\right)^{2} x^{2}-80 \ln \left(3+\ln \left(2\right)\right) x^{2}+24 \ln \left(3+\ln \left(2\right)\right)^{2} x^{3}-12 \ln \left(3+\ln \left(2\right)\right) x^{4}-32 \ln \left(3+\ln \left(2\right)\right) x^{3}-192 \ln \left(3+\ln \left(2\right)\right) x +\ln \left(3+\ln \left(2\right)\right)^{4} x^{3}-\ln \left(3+\ln \left(2\right)\right)^{3} x^{4}+\ln \left(3+\ln \left(2\right)\right)^{2} x^{5}-x^{6} \ln \left(3+\ln \left(2\right)\right)-\ln \left(3+\ln \left(2\right)\right)^{5} x^{2}$&$425$\\ risch&$64 x +x^{5} {\mathrm e}^{x}+x^{7}+2 x^{6}+4 x^{5}+8 x^{4}+16 x^{3}+32 x^{2}+\frac{256}{x -2+\ln \left(3+\ln \left(2\right)\right)}+\ln \left(3+\ln \left(2\right)\right)^{6} x +\frac{\ln \left(3+\ln \left(2\right)\right)^{8}}{x -2+\ln \left(3+\ln \left(2\right)\right)}+10 \ln \left(3+\ln \left(2\right)\right)^{4} x^{2}-8 \ln \left(3+\ln \left(2\right)\right)^{3} x^{3}+6 \ln \left(3+\ln \left(2\right)\right)^{2} x^{4}-4 x^{5} \ln \left(3+\ln \left(2\right)\right)-\frac{16 \ln \left(3+\ln \left(2\right)\right)^{7}}{x -2+\ln \left(3+\ln \left(2\right)\right)}+\frac{112 \ln \left(3+\ln \left(2\right)\right)^{6}}{x -2+\ln \left(3+\ln \left(2\right)\right)}-\frac{448 \ln \left(3+\ln \left(2\right)\right)^{5}}{x -2+\ln \left(3+\ln \left(2\right)\right)}+\frac{1120 \ln \left(3+\ln \left(2\right)\right)^{4}}{x -2+\ln \left(3+\ln \left(2\right)\right)}-\frac{1792 \ln \left(3+\ln \left(2\right)\right)^{3}}{x -2+\ln \left(3+\ln \left(2\right)\right)}+\frac{1792 \ln \left(3+\ln \left(2\right)\right)^{2}}{x -2+\ln \left(3+\ln \left(2\right)\right)}-\frac{1024 \ln \left(3+\ln \left(2\right)\right)}{x -2+\ln \left(3+\ln \left(2\right)\right)}-40 \ln \left(3+\ln \left(2\right)\right)^{3} x^{2}-12 \ln \left(3+\ln \left(2\right)\right)^{5} x +60 \ln \left(3+\ln \left(2\right)\right)^{4} x -160 \ln \left(3+\ln \left(2\right)\right)^{3} x +240 \ln \left(3+\ln \left(2\right)\right)^{2} x +80 \ln \left(3+\ln \left(2\right)\right)^{2} x^{2}-80 \ln \left(3+\ln \left(2\right)\right) x^{2}+24 \ln \left(3+\ln \left(2\right)\right)^{2} x^{3}-12 \ln \left(3+\ln \left(2\right)\right) x^{4}-32 \ln \left(3+\ln \left(2\right)\right) x^{3}-192 \ln \left(3+\ln \left(2\right)\right) x +\ln \left(3+\ln \left(2\right)\right)^{4} x^{3}-\ln \left(3+\ln \left(2\right)\right)^{3} x^{4}+\ln \left(3+\ln \left(2\right)\right)^{2} x^{5}-x^{6} \ln \left(3+\ln \left(2\right)\right)-\ln \left(3+\ln \left(2\right)\right)^{5} x^{2}$&$425$\\ \hline \end{longtable}"," ",0,"(x^8+x^6*exp(x)+(ln(3+ln(2))-2)*x^5*exp(x))/(x-2+ln(3+ln(2)))","A"
3119,1,70,20,0.041000," ","int((3*x^2+10*x)*exp(2)^4+(40*x^4+160*x^3-96*x^2-320*x)*exp(2)^2+112*x^6+480*x^5-640*x^4-2560*x^3+768*x^2+2560*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$16 x^{7}+80 x^{6}+\left(8 \,{\mathrm e}^{4}-128\right) x^{5}+\left(40 \,{\mathrm e}^{4}-640\right) x^{4}+\left({\mathrm e}^{8}-32 \,{\mathrm e}^{4}+256\right) x^{3}+\left(5 \,{\mathrm e}^{8}-160 \,{\mathrm e}^{4}+1280\right) x^{2}$&$70$\\ default&${\mathrm e}^{8} \left(x^{3}+5 x^{2}\right)+{\mathrm e}^{4} \left(8 x^{5}+40 x^{4}-32 x^{3}-160 x^{2}\right)+16 x^{7}+80 x^{6}-128 x^{5}-640 x^{4}+256 x^{3}+1280 x^{2}$&$72$\\ gosper&$x^{2} \left(x \,{\mathrm e}^{8}+8 x^{3} {\mathrm e}^{4}+16 x^{5}+5 \,{\mathrm e}^{8}+40 x^{2} {\mathrm e}^{4}+80 x^{4}-32 x \,{\mathrm e}^{4}-128 x^{3}-160 \,{\mathrm e}^{4}-640 x^{2}+256 x +1280\right)$&$73$\\ risch&${\mathrm e}^{8} x^{3}+5 x^{2} {\mathrm e}^{8}+8 x^{5} {\mathrm e}^{4}+40 x^{4} {\mathrm e}^{4}-32 x^{3} {\mathrm e}^{4}-160 x^{2} {\mathrm e}^{4}+16 x^{7}+80 x^{6}-128 x^{5}-640 x^{4}+256 x^{3}+1280 x^{2}$&$73$\\ \hline \end{longtable}"," ",0,"16*x^7+80*x^6+(8*exp(2)^2-128)*x^5+(40*exp(2)^2-640)*x^4+(exp(2)^4-32*exp(2)^2+256)*x^3+(5*exp(2)^4-160*exp(2)^2+1280)*x^2","B"
3120,1,14,16,0.141000," ","int(((-3*x+9)*exp(3/(2*x+4))+2*x^2+8*x+8)/(2*x^3+2*x^2-16*x-24),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x -3\right)+{\mathrm e}^{\frac{3}{2 \left(2+x \right)}}$&$14$\\ derivativedivides&$\ln \left(-3+\frac{15}{2+x}\right)-\ln \left(\frac{3}{2 \left(2+x \right)}\right)+{\mathrm e}^{\frac{3}{2 \left(2+x \right)}}$&$30$\\ default&$\ln \left(-3+\frac{15}{2+x}\right)-\ln \left(\frac{3}{2 \left(2+x \right)}\right)+{\mathrm e}^{\frac{3}{2 \left(2+x \right)}}$&$30$\\ norman&$\frac{x \,{\mathrm e}^{\frac{3}{2 x +4}}+2 \,{\mathrm e}^{\frac{3}{2 x +4}}}{2+x}+\ln \left(x -3\right)$&$37$\\ \hline \end{longtable}"," ",0,"ln(x-3)+exp(3/2/(2+x))","A"
3121,0,0,22,0.234000," ","int((12*ln(x^4)*ln(1/3*ln(x^4))-48)*exp(ln(1/3*ln(x^4))/x)/(x^2*ln(x^4)*exp(ln(1/3*ln(x^4))/x)^2+(-4*x^2*ln(2)-50*x^2)*ln(x^4)*exp(ln(1/3*ln(x^4))/x)+(4*x^2*ln(2)^2+100*x^2*ln(2)+625*x^2)*ln(x^4)),x)","\[\int \frac{\left(12 \ln \left(x^{4}\right) \ln \left(\frac{\ln \left(x^{4}\right)}{3}\right)-48\right) {\mathrm e}^{\frac{\ln \left(\frac{\ln \left(x^{4}\right)}{3}\right)}{x}}}{x^{2} \ln \left(x^{4}\right) {\mathrm e}^{\frac{2 \ln \left(\ln \left(\left(x^{4}\right)^{\frac{1}{3}}\right)\right)}{x}}+\left(-4 x^{2} \ln \left(2\right)-50 x^{2}\right) \ln \left(x^{4}\right) {\mathrm e}^{\frac{\ln \left(\frac{\ln \left(x^{4}\right)}{3}\right)}{x}}+\left(4 x^{2} \ln \left(2\right)^{2}+100 x^{2} \ln \left(2\right)+625 x^{2}\right) \ln \left(x^{4}\right)}\, dx\]"," ",0,"int((12*ln(x^4)*ln(1/3*ln(x^4))-48)*exp(ln(1/3*ln(x^4))/x)/(x^2*ln(x^4)*exp(ln(1/3*ln(x^4))/x)^2+(-4*x^2*ln(2)-50*x^2)*ln(x^4)*exp(ln(1/3*ln(x^4))/x)+(4*x^2*ln(2)^2+100*x^2*ln(2)+625*x^2)*ln(x^4)),x)","F"
3122,1,7,26,0.021000," ","int(14/5*x-14/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{7 \left(x -2\right) x}{5}$&$7$\\ default&$\frac{7}{5} x^{2}-\frac{14}{5} x$&$10$\\ norman&$\frac{7}{5} x^{2}-\frac{14}{5} x$&$10$\\ risch&$\frac{7}{5} x^{2}-\frac{14}{5} x$&$10$\\ \hline \end{longtable}"," ",0,"7/5*(x-2)*x","A"
3123,1,82,23,0.082000," ","int(((16*x^4+72*x^2+x+81)*ln(65536*x^16+1179648*x^14+16384*x^13+9289728*x^12+221184*x^11+41805312*x^10+1244160*x^9+117586944*x^8+3732544*x^7+211678272*x^6+6298848*x^5+238155553*x^4+5669028*x^3+153094374*x^2+2125764*x+43046721)-256*x^3-576*x-4)/(16*x^4+72*x^2+x+81)/ln(65536*x^16+1179648*x^14+16384*x^13+9289728*x^12+221184*x^11+41805312*x^10+1244160*x^9+117586944*x^8+3732544*x^7+211678272*x^6+6298848*x^5+238155553*x^4+5669028*x^3+153094374*x^2+2125764*x+43046721),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\ln \left(\ln \left(65536 x^{16}+1179648 x^{14}+16384 x^{13}+9289728 x^{12}+221184 x^{11}+41805312 x^{10}+1244160 x^{9}+117586944 x^{8}+3732544 x^{7}+211678272 x^{6}+6298848 x^{5}+238155553 x^{4}+5669028 x^{3}+153094374 x^{2}+2125764 x +43046721\right)\right)$&$82$\\ norman&$x -\ln \left(\ln \left(65536 x^{16}+1179648 x^{14}+16384 x^{13}+9289728 x^{12}+221184 x^{11}+41805312 x^{10}+1244160 x^{9}+117586944 x^{8}+3732544 x^{7}+211678272 x^{6}+6298848 x^{5}+238155553 x^{4}+5669028 x^{3}+153094374 x^{2}+2125764 x +43046721\right)\right)$&$82$\\ risch&$x -\ln \left(\ln \left(65536 x^{16}+1179648 x^{14}+16384 x^{13}+9289728 x^{12}+221184 x^{11}+41805312 x^{10}+1244160 x^{9}+117586944 x^{8}+3732544 x^{7}+211678272 x^{6}+6298848 x^{5}+238155553 x^{4}+5669028 x^{3}+153094374 x^{2}+2125764 x +43046721\right)\right)$&$82$\\ \hline \end{longtable}"," ",0,"x-ln(ln(65536*x^16+1179648*x^14+16384*x^13+9289728*x^12+221184*x^11+41805312*x^10+1244160*x^9+117586944*x^8+3732544*x^7+211678272*x^6+6298848*x^5+238155553*x^4+5669028*x^3+153094374*x^2+2125764*x+43046721))","B"
3124,1,57,31,0.070000," ","int(((-50*x^4-50*x^2-200*x)*ln(x/(x^3+x+4))^2+((100*x^4+100*x^2+400*x)*ln(5)-300*x^5-300*x^4-350*x^3-1600*x^2-1850*x-200)*ln(x/(x^3+x+4))+(-50*x^4-50*x^2-200*x)*ln(5)^2+(300*x^5+300*x^4+350*x^3+1600*x^2+1850*x+200)*ln(5)-400*x^6-1000*x^5-1000*x^4-2900*x^3-6200*x^2-5000*x-1000)/((x^6+x^4+4*x^3)*ln(x/(x^3+x+4))^3+((-3*x^6-3*x^4-12*x^3)*ln(5)+6*x^7+12*x^6+6*x^5+36*x^4+48*x^3)*ln(x/(x^3+x+4))^2+((3*x^6+3*x^4+12*x^3)*ln(5)^2+(-12*x^7-24*x^6-12*x^5-72*x^4-96*x^3)*ln(5)+12*x^8+48*x^7+60*x^6+96*x^5+240*x^4+192*x^3)*ln(x/(x^3+x+4))+(-x^6-x^4-4*x^3)*ln(5)^3+(6*x^7+12*x^6+6*x^5+36*x^4+48*x^3)*ln(5)^2+(-12*x^8-48*x^7-60*x^6-96*x^5-240*x^4-192*x^3)*ln(5)+8*x^9+48*x^8+104*x^7+144*x^6+288*x^5+448*x^4+256*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{25 \left(2 x \ln \left(5\right)-4 x^{2}-2 x \ln \left(\frac{x}{x^{3}+x +4}\right)-8 x -1\right)}{x^{2} \left(\ln \left(5\right)-\ln \left(\frac{x}{x^{3}+x +4}\right)-4-2 x \right)^{2}}$&$57$\\ \hline \end{longtable}"," ",0,"-25*(2*x*ln(5)-4*x^2-2*x*ln(x/(x^3+x+4))-8*x-1)/x^2/(ln(5)-ln(x/(x^3+x+4))-4-2*x)^2","A"
3125,1,20,21,0.073000," ","int((3*x^3*exp(x^3)-20*x^4+50*x^2+1)*exp(ln(x)+exp(x^3)-5*x^4+25*x^2-25)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-25+{\mathrm e}^{x^{3}}-5 x^{4}+25 x^{2}}$&$20$\\ \hline \end{longtable}"," ",0,"x*exp(-25+exp(x^3)-5*x^4+25*x^2)","A"
3126,1,32,28,0.036000," ","int((((-2*x^2-6)*exp(5)+3*x^4+6*x^3)*exp(((-2*x^2-4*x+6)*exp(5)+x^4+3*x^3)/x)*ln(2*x)-x*exp(((-2*x^2-4*x+6)*exp(5)+x^4+3*x^3)/x))/x^2/ln(2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{\left(3+x \right) \left(-x^{3}+2 x \,{\mathrm e}^{5}-2 \,{\mathrm e}^{5}\right)}{x}}}{\ln \left(2 x \right)}$&$32$\\ \hline \end{longtable}"," ",0,"exp(-(3+x)*(-x^3+2*x*exp(5)-2*exp(5))/x)/ln(2*x)","A"
3127,1,15,20,0.046000," ","int(((-2*ln(-4*x^2)+8)*ln(-ln(-4*x^2)+4)-4)/(ln(-4*x^2)-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 x \ln \left(-\ln \left(-4 x^{2}\right)+4\right)$&$15$\\ \hline \end{longtable}"," ",0,"-2*x*ln(-ln(-4*x^2)+4)","A"
3128,1,22,24,0.071000," ","int((-exp(x)^2*x^2+(-x^3-6*x^2+2*x)*exp(x)-4*x^3)/(5*exp(x)^3+15*x*exp(x)^2+15*exp(x)*x^2+5*x^3)/exp(2*x-1)^2/exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{-4 x +2-{\mathrm e}^{x}}}{5 \left({\mathrm e}^{x}+x \right)^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"1/5/(exp(x)+x)^2*x^2*exp(-4*x+2-exp(x))","A"
3129,1,15,14,0.912000," ","int(((25*x^2-25*x+125)*ln(x^2-x+5)^4+(200*x^2-100*x)*ln(x^2-x+5)^3)/(729*x^2-729*x+3645),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{25 x \ln \left(x^{2}-x +5\right)^{4}}{729}$&$15$\\ risch&$\frac{25 x \ln \left(x^{2}-x +5\right)^{4}}{729}$&$15$\\ \hline \end{longtable}"," ",0,"25/729*x*ln(x^2-x+5)^4","A"
3130,1,35,23,0.036000," ","int(((-exp(2)-2)*ln(x)+(-4*exp(2)*x-4*x)*ln(3)+(-4*x-1)*exp(2)-4*x-2)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 \left({\mathrm e}^{2} \ln \left(3\right)+{\mathrm e}^{2}+\ln \left(3\right)+1\right) {\mathrm e}^{-2} x^{2}-{\mathrm e}^{-2} \left({\mathrm e}^{2}+2\right) x \ln \left(x \right)$&$35$\\ risch&$-2 \,{\mathrm e}^{2} \ln \left(3\right) {\mathrm e}^{-2} x^{2}-2 \,{\mathrm e}^{2} {\mathrm e}^{-2} x^{2}-2 \ln \left(3\right) {\mathrm e}^{-2} x^{2}-2 x^{2} {\mathrm e}^{-2}-{\mathrm e}^{-2} \left({\mathrm e}^{2}+2\right) x \ln \left(x \right)$&$49$\\ default&${\mathrm e}^{-2} \left({\mathrm e}^{2} \left(-2 x^{2}-x \right)-2 x^{2} {\mathrm e}^{2} \ln \left(3\right)-2 x^{2} \ln \left(3\right)-x \,{\mathrm e}^{2} \ln \left(x \right)+{\mathrm e}^{2} x -2 x \ln \left(x \right)-2 x^{2}\right)$&$56$\\ \hline \end{longtable}"," ",0,"-2*(exp(2)*ln(3)+exp(2)+ln(3)+1)/exp(2)*x^2-1/exp(2)*(exp(2)+2)*x*ln(x)","A"
3131,1,13,15,0.015000," ","int(-2*exp(x)^2-2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}-{\mathrm e}^{2 x}$&$13$\\ norman&$-x^{2}-{\mathrm e}^{2 x}$&$13$\\ risch&$-x^{2}-{\mathrm e}^{2 x}$&$13$\\ \hline \end{longtable}"," ",0,"-x^2-exp(x)^2","A"
3132,1,137,22,0.388000," ","int((64*(2*x-1)*ln(2)^6+32*(-12*x^2-30*x+18)*ln(2)^5+16*(30*x^3+165*x^2+186*x-138)*ln(2)^4+8*(-40*x^4-340*x^3-924*x^2-600*x+576)*ln(2)^3+4*(30*x^5+345*x^4+1476*x^3+2628*x^2+1032*x-1375)*ln(2)^2+2*(-12*x^6-174*x^5-1014*x^4-2904*x^3-3792*x^2-830*x+1770)*ln(2)+2*x^7+35*x^6+258*x^5+1014*x^4+2184*x^3+2205*x^2+170*x-950)/(64*(x^2-x)*ln(2)^6+32*(-6*x^3-12*x^2+18*x)*ln(2)^5+16*(15*x^4+75*x^3+48*x^2-138*x)*ln(2)^4+8*(-20*x^5-160*x^4-372*x^3-24*x^2+576*x)*ln(2)^3+4*(15*x^6+165*x^5+648*x^4+900*x^3-348*x^2-1375*x)*ln(2)^2+2*(-6*x^7-84*x^6-462*x^5-1176*x^4-1032*x^3+950*x^2+1770*x)*ln(2)+x^8+17*x^7+120*x^6+438*x^5+804*x^4+425*x^3-770*x^2-950*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(-x^{2}+\left(4 \ln \left(2\right)-6\right) x -4 \ln \left(2\right)^{2}+12 \ln \left(2\right)-10\right)+\ln \left(x^{6}+\left(-8 \ln \left(2\right)+11\right) x^{5}+\left(24 \ln \left(2\right)^{2}-64 \ln \left(2\right)+44\right) x^{4}+\left(-32 \ln \left(2\right)^{3}+120 \ln \left(2\right)^{2}-152 \ln \left(2\right)+64\right) x^{3}+\left(16 \ln \left(2\right)^{4}-64 \ln \left(2\right)^{3}+80 \ln \left(2\right)^{2}-16 \ln \left(2\right)-20\right) x^{2}+\left(-16 \ln \left(2\right)^{4}+96 \ln \left(2\right)^{3}-224 \ln \left(2\right)^{2}+240 \ln \left(2\right)-95\right) x \right)$&$137$\\ default&$\ln \left(x \right)+\ln \left(16 x \ln \left(2\right)^{4}-32 x^{2} \ln \left(2\right)^{3}+24 x^{3} \ln \left(2\right)^{2}-8 x^{4} \ln \left(2\right)+x^{5}-16 \ln \left(2\right)^{4}-64 x \ln \left(2\right)^{3}+120 x^{2} \ln \left(2\right)^{2}-64 x^{3} \ln \left(2\right)+11 x^{4}+96 \ln \left(2\right)^{3}+80 x \ln \left(2\right)^{2}-152 x^{2} \ln \left(2\right)+44 x^{3}-224 \ln \left(2\right)^{2}-16 x \ln \left(2\right)+64 x^{2}+240 \ln \left(2\right)-20 x -95\right)-2 \ln \left(4 \ln \left(2\right)^{2}-4 x \ln \left(2\right)+x^{2}-12 \ln \left(2\right)+6 x +10\right)$&$150$\\ norman&$\ln \left(x \right)+\ln \left(16 x \ln \left(2\right)^{4}-32 x^{2} \ln \left(2\right)^{3}+24 x^{3} \ln \left(2\right)^{2}-8 x^{4} \ln \left(2\right)+x^{5}-16 \ln \left(2\right)^{4}-64 x \ln \left(2\right)^{3}+120 x^{2} \ln \left(2\right)^{2}-64 x^{3} \ln \left(2\right)+11 x^{4}+96 \ln \left(2\right)^{3}+80 x \ln \left(2\right)^{2}-152 x^{2} \ln \left(2\right)+44 x^{3}-224 \ln \left(2\right)^{2}-16 x \ln \left(2\right)+64 x^{2}+240 \ln \left(2\right)-20 x -95\right)-2 \ln \left(4 \ln \left(2\right)^{2}-4 x \ln \left(2\right)+x^{2}-12 \ln \left(2\right)+6 x +10\right)$&$150$\\ \hline \end{longtable}"," ",0,"-2*ln(-x^2+(4*ln(2)-6)*x-4*ln(2)^2+12*ln(2)-10)+ln(x^6+(-8*ln(2)+11)*x^5+(24*ln(2)^2-64*ln(2)+44)*x^4+(-32*ln(2)^3+120*ln(2)^2-152*ln(2)+64)*x^3+(16*ln(2)^4-64*ln(2)^3+80*ln(2)^2-16*ln(2)-20)*x^2+(-16*ln(2)^4+96*ln(2)^3-224*ln(2)^2+240*ln(2)-95)*x)","B"
3133,1,248,26,0.078000," ","int(1/50*((200*x^4-600*x^3+600*x^2-200*x)*ln(x)^4+(1000*x^5+1000*x^4-9200*x^3+11600*x^2-4600*x+200)*ln(x)^3+((-10*x^3+10*x)*exp(x)+1800*x^6+9600*x^5-10200*x^4-48030*x^3+82240*x^2-38410*x+3000)*ln(x)^2+((-20*x^4-120*x^3+40*x^2+120*x-20)*exp(x)+1400*x^7+13800*x^6+24600*x^5-76680*x^4-92000*x^3+253000*x^2-139120*x+15000)*ln(x)+x*exp(x)^2+(-10*x^5-120*x^4-320*x^3+221*x^2+331*x-100)*exp(x)+400*x^8+5800*x^7+25000*x^6+8150*x^5-128940*x^4-34040*x^3+283981*x^2-185350*x+25000)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(50 x^{4}-200 x^{3}+300 x^{2}-200 x +50\right) \ln \left(x \right)^{4}}{50}+\frac{\left(200 x^{5}+200 x^{4}-2800 x^{3}+5200 x^{2}-3800 x +1000\right) \ln \left(x \right)^{3}}{50}+\frac{\left(300 x^{6}+1800 x^{5}-2700 x^{4}-13210 x^{3}-10 \,{\mathrm e}^{x} x^{2}+33320 x^{2}+20 \,{\mathrm e}^{x} x -27010 x -10 \,{\mathrm e}^{x}+7500\right) \ln \left(x \right)^{2}}{50}+\frac{\left(200 x^{7}+2200 x^{6}+4200 x^{5}-17820 x^{4}-20 \,{\mathrm e}^{x} x^{3}-21860 x^{3}-60 \,{\mathrm e}^{x} x^{2}+93180 x^{2}+180 \,{\mathrm e}^{x} x -85100 x -100 \,{\mathrm e}^{x}\right) \ln \left(x \right)}{50}+x^{8}+16 x^{7}+76 x^{6}+\frac{79 x^{5}}{5}-\frac{2778 x^{4}}{5}-\frac{406 x^{3}}{5}+\frac{190801 x^{2}}{100}-2005 x +500 \ln \left(x \right)+\frac{{\mathrm e}^{2 x}}{100}-\frac{{\mathrm e}^{x} x^{4}}{5}-\frac{8 \,{\mathrm e}^{x} x^{3}}{5}-\frac{6 \,{\mathrm e}^{x} x^{2}}{5}+\frac{401 \,{\mathrm e}^{x} x}{50}-5 \,{\mathrm e}^{x}$&$248$\\ \hline \end{longtable}"," ",0,"1/50*(50*x^4-200*x^3+300*x^2-200*x+50)*ln(x)^4+1/50*(200*x^5+200*x^4-2800*x^3+5200*x^2-3800*x+1000)*ln(x)^3+1/50*(300*x^6+1800*x^5-2700*x^4-13210*x^3-10*exp(x)*x^2+33320*x^2+20*exp(x)*x-27010*x-10*exp(x)+7500)*ln(x)^2+1/50*(200*x^7+2200*x^6+4200*x^5-17820*x^4-20*exp(x)*x^3-21860*x^3-60*exp(x)*x^2+93180*x^2+180*exp(x)*x-85100*x-100*exp(x))*ln(x)+x^8+16*x^7+76*x^6+79/5*x^5-2778/5*x^4-406/5*x^3+190801/100*x^2-2005*x+500*ln(x)+1/100*exp(2*x)-1/5*exp(x)*x^4-8/5*exp(x)*x^3-6/5*exp(x)*x^2+401/50*exp(x)*x-5*exp(x)","B"
3134,1,27,28,0.068000," ","int(1/2*(((2*x^3-3*x^2+2)*ln(x)+3*x^4-5*x^3-3*x^2-2)*exp(1/2*((-x^3+3*x^2+2)*ln(x)-x^4+3*x^3+2*x)/x)+4*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-\frac{\left(x^{3}-3 x^{2}-2\right) \left(x +\ln \left(x \right)\right)}{2 x}}+x^{2}$&$27$\\ default&$-{\mathrm e}^{\frac{\left(-x^{3}+3 x^{2}+2\right) \ln \left(x \right)-x^{4}+3 x^{3}+2 x}{2 x}}+x^{2}$&$42$\\ norman&$\frac{x^{3}-x \,{\mathrm e}^{\frac{\left(-x^{3}+3 x^{2}+2\right) \ln \left(x \right)-x^{4}+3 x^{3}+2 x}{2 x}}}{x}$&$47$\\ \hline \end{longtable}"," ",0,"-exp(-1/2*(x^3-3*x^2-2)*(x+ln(x))/x)+x^2","A"
3135,1,22,20,0.033000," ","int((6400*x^6+322*x^3+x^2-5)/(1280*x^7+161*x^4+x^3+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)+\ln \left(1280 x^{6}+161 x^{3}+x^{2}+5\right)$&$22$\\ norman&$-\ln \left(x \right)+\ln \left(1280 x^{6}+161 x^{3}+x^{2}+5\right)$&$22$\\ risch&$-\ln \left(x \right)+\ln \left(1280 x^{6}+161 x^{3}+x^{2}+5\right)$&$22$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(1280*x^6+161*x^3+x^2+5)","A"
3136,1,40,26,0.066000," ","int(((-32*x^2-136*x-144)*ln(x^2+2*x)-x^7-8*x^6-21*x^5-18*x^4-96*x^3-368*x^2-320*x+48)/(x^7+8*x^6+21*x^5+18*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 \ln \left(x^{2}+2 x \right)}{\left(3+x \right) x^{3}}-\frac{x^{4}+3 x^{3}-32}{x^{2} \left(3+x \right)}$&$40$\\ default&$-x -\frac{8}{9 x^{3}}+\frac{94}{9 x^{2}}-\frac{74}{27 x}-\ln \left(x \right)-\ln \left(2+x \right)+\frac{32}{9 \left(3+x \right)}+\frac{\frac{8}{3}+x^{4} \ln \left(x^{2}+2 x \right)-\frac{22 x^{3}}{27}+\frac{14 x}{9}-\frac{20 x^{2}}{9}+3 x^{3} \ln \left(x^{2}+2 x \right)+8 \ln \left(x^{2}+2 x \right)}{\left(3+x \right) x^{3}}$&$96$\\ \hline \end{longtable}"," ",0,"8/(3+x)/x^3*ln(x^2+2*x)-(x^4+3*x^3-32)/x^2/(3+x)","A"
3137,1,9,8,0.023000," ","int((exp(x)+6)/(exp(x)+6*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left({\mathrm e}^{x}+6 x +8\right)$&$9$\\ default&$\ln \left({\mathrm e}^{x}+6 x +8\right)$&$9$\\ norman&$\ln \left({\mathrm e}^{x}+6 x +8\right)$&$9$\\ risch&$\ln \left({\mathrm e}^{x}+6 x +8\right)$&$9$\\ \hline \end{longtable}"," ",0,"ln(exp(x)+6*x+8)","A"
3138,1,24,24,0.074000," ","int((-18*exp(5)-2*x^3-13*x^2-32*x-33)/((6*x^2+12*x+6)*exp(5)+x^4+8*x^3+22*x^2+24*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x^{2}+6 \,{\mathrm e}^{5}+6 x +9\right)+\frac{3}{x +1}$&$24$\\ norman&$-\ln \left(x^{2}+6 \,{\mathrm e}^{5}+6 x +9\right)+\frac{3}{x +1}$&$24$\\ risch&$-\ln \left(x^{2}+6 \,{\mathrm e}^{5}+6 x +9\right)+\frac{3}{x +1}$&$24$\\ \hline \end{longtable}"," ",0,"-ln(x^2+6*exp(5)+6*x+9)+3/(x+1)","A"
3139,1,13,17,0.021000," ","int((-2*exp(x)-x)/(x+exp(x)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -\ln \left(x +{\mathrm e}^{x}-1\right)$&$13$\\ risch&$-x -\ln \left(x +{\mathrm e}^{x}-1\right)$&$13$\\ \hline \end{longtable}"," ",0,"-x-ln(x+exp(x)-1)","A"
3140,1,21,21,0.033000," ","int(((-2*x+2)*ln(-1/4*x)-10*x+14)*exp((4*x*ln(-1/4*x)+20*x-4)/exp(x))^2/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{8 \left(x \ln \left(-\frac{x}{4}\right)+5 x -1\right) {\mathrm e}^{-x}}}{4}$&$21$\\ \hline \end{longtable}"," ",0,"1/4*exp(8*(x*ln(-1/4*x)+5*x-1)*exp(-x))","A"
3141,1,30,27,0.049000," ","int(((-4*x^4+4*x^3-x^2-16)*ln((-4*x^4+4*x^3-x^2-16)/x)^2+(24*x^4-16*x^3+2*x^2-32)*ln((-4*x^4+4*x^3-x^2-16)/x))/(16*x^6-16*x^5+4*x^4+64*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(\frac{-4 x^{4}+4 x^{3}-x^{2}-16}{x}\right)^{2}}{4 x}$&$30$\\ risch&$\frac{\ln \left(\frac{-4 x^{4}+4 x^{3}-x^{2}-16}{x}\right)^{2}}{4 x}$&$30$\\ \hline \end{longtable}"," ",0,"1/4*ln((-4*x^4+4*x^3-x^2-16)/x)^2/x","A"
3142,1,19,20,0.526000," ","int((-8*x^6-8*x^5+4*x^3)*exp(-ln(x+1)-x^2+4)^4/(x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4} {\mathrm e}^{-4 \left(x -2\right) \left(2+x \right)}}{\left(x +1\right)^{4}}$&$19$\\ gosper&$\frac{x^{4} {\mathrm e}^{-4 x^{2}+16}}{\left(x +1\right)^{4}}$&$21$\\ meijerg&$-\frac{8 \,{\mathrm e}^{16} \left(x +1\right)^{-4+4 \,{\mathrm e}^{-4 x^{2}}} \hypergeom \left(\left[7, 1+4 \,{\mathrm e}^{-4 x^{2}}\right], \left[8\right], -x \right) x^{7} {\mathrm e}^{-4 x^{2}}}{7}-\frac{4 \,{\mathrm e}^{16} \left(x +1\right)^{-4+4 \,{\mathrm e}^{-4 x^{2}}} \hypergeom \left(\left[6, 1+4 \,{\mathrm e}^{-4 x^{2}}\right], \left[7\right], -x \right) x^{6} {\mathrm e}^{-4 x^{2}}}{3}+{\mathrm e}^{16} \left(x +1\right)^{-4+4 \,{\mathrm e}^{-4 x^{2}}} \hypergeom \left(\left[4, 1+4 \,{\mathrm e}^{-4 x^{2}}\right], \left[5\right], -x \right) x^{4} {\mathrm e}^{-4 x^{2}}$&$136$\\ \hline \end{longtable}"," ",0,"x^4/(x+1)^4*exp(-4*(x-2)*(2+x))","A"
3143,1,25,21,0.126000," ","int(((-4*x+4)*exp(exp(1))+80*x)*ln(1/10*exp(exp(1))*ln(x)+1/10*(-x-15)*exp(exp(1))+2*x)^3/(x*exp(exp(1))*ln(x)+(-x^2-15*x)*exp(exp(1))+20*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\frac{{\mathrm e}^{{\mathrm e}} \ln \left(x \right)}{10}+\frac{\left(-x -15\right) {\mathrm e}^{{\mathrm e}}}{10}+2 x \right)^{4}$&$25$\\ \hline \end{longtable}"," ",0,"ln(1/10*exp(exp(1))*ln(x)+1/10*(-x-15)*exp(exp(1))+2*x)^4","A"
3144,1,489742,26,55.150000," ","int(((-12*x+36)*ln(exp(x)^4/(x^2-3*x))^4+(48*x^2-168*x+36)*ln(exp(x)^4/(x^2-3*x))^3+(-20*x^3+60*x^2)*ln(exp(x)^4/(x^2-3*x))^2+(80*x^4-280*x^3+60*x^2)*ln(exp(x)^4/(x^2-3*x))+3*x^6-9*x^5)/(3*x^6-9*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$489742$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
3145,1,28,23,0.054000," ","int((4*ln(17)*ln(x^2)+(8*x^2+8*x-16)*ln(17)+16)/x/ln(17),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x^{2}\right)^{2}+8 x +4 x^{2}-\frac{16 \left(\ln \left(17\right)-1\right) \ln \left(x \right)}{\ln \left(17\right)}$&$28$\\ risch&$\ln \left(x^{2}\right)^{2}+4 x^{2}-16 \ln \left(x \right)+8 x +\frac{16 \ln \left(x \right)}{\ln \left(17\right)}$&$28$\\ default&$\frac{\ln \left(17\right) \ln \left(x^{2}\right)^{2}+4 x^{2} \ln \left(17\right)-16 \ln \left(17\right) \ln \left(x \right)+8 \ln \left(17\right) x +16 \ln \left(x \right)}{\ln \left(17\right)}$&$38$\\ \hline \end{longtable}"," ",0,"ln(x^2)^2+8*x+4*x^2-16*(ln(17)-1)/ln(17)*ln(x)","A"
3146,1,19,19,0.069000," ","int(1/8*((160*x^3+80*x^2)*exp(4)*exp(x^2+x)*exp(80*exp(4)*exp(x^2+x))+x)*exp(exp(80*exp(4)*exp(x^2+x)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{2 \,{\mathrm e}^{80 \,{\mathrm e}^{x^{2}+x +4}}}}{16}$&$19$\\ \hline \end{longtable}"," ",0,"1/16*x^2*exp(2*exp(80*exp(x^2+x+4)))","A"
3147,1,36,28,0.593000," ","int(((20*x^2-160*x+260)*exp(x)*exp(ln(3)^2)-2*x^3+23*x^2-80*x+75)/(2*x^2-20*x+50)/exp(ln(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{-\ln \left(3\right)^{2}} x^{2}}{2}+\frac{3 x \,{\mathrm e}^{-\ln \left(3\right)^{2}}}{2}+\frac{10 \left(x -3\right) {\mathrm e}^{x}}{x -5}$&$36$\\ default&$\frac{{\mathrm e}^{-\ln \left(3\right)^{2}} \left(-x^{2}+3 x +\frac{40 \,{\mathrm e}^{\ln \left(3\right)^{2}} {\mathrm e}^{x}}{x -5}+20 \,{\mathrm e}^{x} {\mathrm e}^{\ln \left(3\right)^{2}}\right)}{2}$&$42$\\ norman&$\frac{10 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{-\ln \left(3\right)^{2}} x^{2}-\frac{{\mathrm e}^{-\ln \left(3\right)^{2}} x^{3}}{2}-30 \,{\mathrm e}^{x}-\frac{75 \,{\mathrm e}^{-\ln \left(3\right)^{2}}}{2}}{x -5}$&$50$\\ \hline \end{longtable}"," ",0,"-1/2*exp(-ln(3)^2)*x^2+3/2*x*exp(-ln(3)^2)+10*(x-3)/(x-5)*exp(x)","A"
3148,1,14,13,0.032000," ","int(1/ln(ln(ln(ln(3)^2+4)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{\ln \left(\ln \left(\ln \left(\ln \left(3\right)^{2}+4\right)\right)\right)^{2}}$&$14$\\ norman&$\frac{x}{\ln \left(\ln \left(\ln \left(\ln \left(3\right)^{2}+4\right)\right)\right)^{2}}$&$14$\\ risch&$\frac{x}{\ln \left(\ln \left(\ln \left(\ln \left(3\right)^{2}+4\right)\right)\right)^{2}}$&$14$\\ \hline \end{longtable}"," ",0,"x/ln(ln(ln(ln(3)^2+4)))^2","A"
3149,0,0,24,0.135000," ","int((4*ln(x^2)*ln(ln(x^2))*ln(ln(ln(x^2)))+(-x^2+4*x-20)*ln(x^2)*ln(ln(x^2))-4*x+8)/(5*x^2-20*x+20)/ln(x^2)/ln(ln(x^2)),x)","\[\int \frac{4 \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right) \ln \left(\ln \left(\ln \left(x^{2}\right)\right)\right)+\left(-x^{2}+4 x -20\right) \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)-4 x +8}{\left(5 x^{2}-20 x +20\right) \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)}\, dx\]"," ",0,"int((4*ln(x^2)*ln(ln(x^2))*ln(ln(ln(x^2)))+(-x^2+4*x-20)*ln(x^2)*ln(ln(x^2))-4*x+8)/(5*x^2-20*x+20)/ln(x^2)/ln(ln(x^2)),x)","F"
3150,1,8,11,0.510000," ","int(1/(2+x)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-4} \ln \left(2+x \right)$&$8$\\ default&${\mathrm e}^{-4} \ln \left(2+x \right)$&$10$\\ norman&${\mathrm e}^{-4} \ln \left(2+x \right)$&$10$\\ meijerg&${\mathrm e}^{-4} \ln \left(1+\frac{x}{2}\right)$&$10$\\ \hline \end{longtable}"," ",0,"exp(-4)*ln(2+x)","A"
3151,1,30,25,0.866000," ","int((((-3*x^2-13*x-8)*exp(1/2*ln(4+x)-3/2*x-5/2)+2*x^3+12*x^2+16*x)*exp((exp(1/2*ln(4+x)-3/2*x-5/2)+x^2)/x)+6*x^3+24*x^2)/(2*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+{\mathrm e}^{\frac{\sqrt{4+x}\, {\mathrm e}^{-\frac{5}{2}-\frac{3 x}{2}}+x^{2}}{x}} x^{2}$&$30$\\ \hline \end{longtable}"," ",0,"x^3+exp(((4+x)^(1/2)*exp(-5/2-3/2*x)+x^2)/x)*x^2","A"
3152,1,30,19,0.546000," ","int(((-8+x)*ln(1/4*x^2-2*x)+(-5*x+40)*ln(x)^2+(-10*x+80)*ln(x)+2*x^2-9*x-48)/(-8+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+5 x -5 x \ln \left(x \right)^{2}-2 x \ln \left(2\right)+x \ln \left(x^{2}-8 x \right)$&$30$\\ risch&$x \ln \left(-8+x \right)-5 x \ln \left(x \right)^{2}+x \ln \left(x \right)-\frac{i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(-8+x \right)\right) \mathrm{csgn}\left(i x \left(-8+x \right)\right)}{2}+\frac{i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(-8+x \right)\right)^{2}}{2}+\frac{i x \pi  \,\mathrm{csgn}\left(i \left(-8+x \right)\right) \mathrm{csgn}\left(i x \left(-8+x \right)\right)^{2}}{2}-\frac{i x \pi  \mathrm{csgn}\left(i x \left(-8+x \right)\right)^{3}}{2}-2 x \ln \left(2\right)+x^{2}+5 x$&$112$\\ \hline \end{longtable}"," ",0,"x^2+5*x-5*x*ln(x)^2-2*x*ln(2)+x*ln(x^2-8*x)","A"
3153,1,21,20,0.117000," ","int(((exp(x)*exp(x+1)+(-3-x)*exp(x))*ln(exp(x+1)-3-x)^3+(-4*x^3*exp(x+1)+4*x^4+12*x^3)*ln(exp(x+1)-3-x)+2*x^4*exp(x+1)-2*x^4)/(exp(x+1)-3-x)/ln(exp(x+1)-3-x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x}-\frac{x^{4}}{\ln \left({\mathrm e}^{x +1}-3-x \right)^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"exp(x)-x^4/ln(exp(x+1)-3-x)^2","A"
3154,1,101,53,0.076000," ","int(1/25*(-9*x^10*ln(5)^4+32*x^9*ln(5)^3+(-42*x^8-12*x^7-10*x^6+24*x^5)*ln(5)^2+(24*x^7+20*x^6+16*x^5-36*x^4)*ln(5)-5*x^6-8*x^5-9*x^4-42*x^3+55*x^2+9)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{9}{25}+\left(-\frac{2 \ln \left(5\right)^{2}}{25}+\frac{4 \ln \left(5\right)}{25}\right) x^{7}+\left(-\frac{12 \ln \left(5\right)}{25}-\frac{3}{25}\right) x^{4}+\left(-\frac{2 \ln \left(5\right)^{2}}{25}+\frac{4 \ln \left(5\right)}{25}-\frac{1}{25}\right) x^{6}+\left(\frac{6 \ln \left(5\right)^{2}}{25}+\frac{4 \ln \left(5\right)}{25}-\frac{2}{25}\right) x^{5}+\frac{11 x^{2}}{5}-\frac{21 x^{3}}{25}-\frac{6 x^{8} \ln \left(5\right)^{2}}{25}+\frac{4 x^{9} \ln \left(5\right)^{3}}{25}-\frac{x^{10} \ln \left(5\right)^{4}}{25}}{x}$&$101$\\ gosper&$-\frac{x^{10} \ln \left(5\right)^{4}-4 x^{9} \ln \left(5\right)^{3}+6 x^{8} \ln \left(5\right)^{2}+2 x^{7} \ln \left(5\right)^{2}+2 x^{6} \ln \left(5\right)^{2}-4 x^{7} \ln \left(5\right)-6 x^{5} \ln \left(5\right)^{2}-4 x^{6} \ln \left(5\right)-4 x^{5} \ln \left(5\right)+x^{6}+12 x^{4} \ln \left(5\right)+2 x^{5}+3 x^{4}+21 x^{3}-55 x^{2}+9}{25 x}$&$112$\\ default&$-\frac{x^{9} \ln \left(5\right)^{4}}{25}+\frac{4 x^{8} \ln \left(5\right)^{3}}{25}-\frac{6 x^{7} \ln \left(5\right)^{2}}{25}-\frac{2 x^{6} \ln \left(5\right)^{2}}{25}-\frac{2 x^{5} \ln \left(5\right)^{2}}{25}+\frac{4 x^{6} \ln \left(5\right)}{25}+\frac{6 x^{4} \ln \left(5\right)^{2}}{25}+\frac{4 x^{5} \ln \left(5\right)}{25}+\frac{4 x^{4} \ln \left(5\right)}{25}-\frac{x^{5}}{25}-\frac{12 x^{3} \ln \left(5\right)}{25}-\frac{2 x^{4}}{25}-\frac{3 x^{3}}{25}-\frac{21 x^{2}}{25}+\frac{11 x}{5}-\frac{9}{25 x}$&$112$\\ risch&$-\frac{x^{9} \ln \left(5\right)^{4}}{25}+\frac{4 x^{8} \ln \left(5\right)^{3}}{25}-\frac{6 x^{7} \ln \left(5\right)^{2}}{25}-\frac{2 x^{6} \ln \left(5\right)^{2}}{25}-\frac{2 x^{5} \ln \left(5\right)^{2}}{25}+\frac{4 x^{6} \ln \left(5\right)}{25}+\frac{6 x^{4} \ln \left(5\right)^{2}}{25}+\frac{4 x^{5} \ln \left(5\right)}{25}+\frac{4 x^{4} \ln \left(5\right)}{25}-\frac{x^{5}}{25}-\frac{12 x^{3} \ln \left(5\right)}{25}-\frac{2 x^{4}}{25}-\frac{3 x^{3}}{25}-\frac{21 x^{2}}{25}+\frac{11 x}{5}-\frac{9}{25 x}$&$112$\\ \hline \end{longtable}"," ",0,"(-9/25+(-2/25*ln(5)^2+4/25*ln(5))*x^7+(-12/25*ln(5)-3/25)*x^4+(-2/25*ln(5)^2+4/25*ln(5)-1/25)*x^6+(6/25*ln(5)^2+4/25*ln(5)-2/25)*x^5+11/5*x^2-21/25*x^3-6/25*x^8*ln(5)^2+4/25*x^9*ln(5)^3-1/25*x^10*ln(5)^4)/x","A"
3155,1,13,17,0.085000," ","int((-2*exp(x)*x-2)*exp(x+1)/x^2/exp(exp(x)+3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{-2-{\mathrm e}^{x}}}{x}$&$13$\\ norman&$\frac{2 \,{\mathrm e} \,{\mathrm e}^{x} {\mathrm e}^{-{\mathrm e}^{x}-3-x}}{x}$&$18$\\ \hline \end{longtable}"," ",0,"2/x*exp(-2-exp(x))","A"
3156,1,21,20,0.045000," ","int((((exp(x)*x-x*exp(1)-5*x)*ln(x)*ln(-exp(x)+exp(1)+5)-x*exp(x)*ln(x))*ln(ln(x))+exp(x)^2+(-exp(1)-5)*exp(x))/(x*exp(x)^2+(-x*exp(1)-5*x)*exp(x))/ln(x)/ln(ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\ln \left(x \right)\right)\right)-\ln \left(-{\mathrm e}^{x}+{\mathrm e}+5\right) {\mathrm e}^{-x}$&$21$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(x)))-ln(-exp(x)+exp(1)+5)*exp(-x)","A"
3157,1,12,13,0.029000," ","int(1/3*(6*x+2)*exp(x^2)*exp(exp(4)+2/3*x-2/3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{{\mathrm e}^{4}+\frac{2 x}{3}-\frac{2}{3}+x^{2}}$&$12$\\ default&${\mathrm e}^{{\mathrm e}^{4}+\frac{2 x}{3}-\frac{2}{3}+x^{2}}$&$12$\\ risch&${\mathrm e}^{{\mathrm e}^{4}+\frac{2 x}{3}-\frac{2}{3}+x^{2}}$&$12$\\ norman&${\mathrm e}^{{\mathrm e}^{4}+\frac{2 x}{3}-\frac{2}{3}} {\mathrm e}^{x^{2}}$&$14$\\ \hline \end{longtable}"," ",0,"exp(exp(4)+2/3*x-2/3+x^2)","A"
3158,1,23,22,0.056000," ","int(1/3*(x^3*exp(1/3*x)+18*x*ln(2)+3*x^2-18*x+54)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-18 \ln \left(2\right)+18\right) x -27}{3 x^{2}}+\ln \left(x \right)+{\mathrm e}^{\frac{x}{3}}$&$23$\\ norman&$\frac{-9+x^{2} {\mathrm e}^{\frac{x}{3}}+\left(-6 \ln \left(2\right)+6\right) x}{x^{2}}+\ln \left(x \right)$&$26$\\ derivativedivides&$\ln \left(\frac{x}{3}\right)-\frac{9}{x^{2}}+\frac{6}{x}-\frac{6 \ln \left(2\right)}{x}+{\mathrm e}^{\frac{x}{3}}$&$27$\\ default&$\ln \left(\frac{x}{3}\right)-\frac{9}{x^{2}}+\frac{6}{x}-\frac{6 \ln \left(2\right)}{x}+{\mathrm e}^{\frac{x}{3}}$&$27$\\ \hline \end{longtable}"," ",0,"1/3*((-18*ln(2)+18)*x-27)/x^2+ln(x)+exp(1/3*x)","A"
3159,1,148,20,0.107000," ","int((((exp(x^2+3)+x)*ln(x)+5*exp(x^2+3)+5*x)*ln((exp(x^2+3)+x)*ln(x)+5*exp(x^2+3)+5*x)+(-2*x^2*exp(x^2+3)-x)*ln(x)+(-10*x^2-1)*exp(x^2+3)-6*x)/((exp(x^2+3)+x)*ln(x)+5*exp(x^2+3)+5*x)/ln((exp(x^2+3)+x)*ln(x)+5*exp(x^2+3)+5*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i x}{\pi  \,\mathrm{csgn}\left(i \left(5+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x^{2}+3}+x \right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x^{2}+3}+x \right) \left(5+\ln \left(x \right)\right)\right)-\pi  \,\mathrm{csgn}\left(i \left(5+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x^{2}+3}+x \right) \left(5+\ln \left(x \right)\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x^{2}+3}+x \right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x^{2}+3}+x \right) \left(5+\ln \left(x \right)\right)\right)^{2}+\pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x^{2}+3}+x \right) \left(5+\ln \left(x \right)\right)\right)^{3}+2 i \ln \left(5+\ln \left(x \right)\right)+2 i \ln \left({\mathrm e}^{x^{2}+3}+x \right)}$&$148$\\ \hline \end{longtable}"," ",0,"2*I*x/(Pi*csgn(I*(5+ln(x)))*csgn(I*(exp(x^2+3)+x))*csgn(I*(exp(x^2+3)+x)*(5+ln(x)))-Pi*csgn(I*(5+ln(x)))*csgn(I*(exp(x^2+3)+x)*(5+ln(x)))^2-Pi*csgn(I*(exp(x^2+3)+x))*csgn(I*(exp(x^2+3)+x)*(5+ln(x)))^2+Pi*csgn(I*(exp(x^2+3)+x)*(5+ln(x)))^3+2*I*ln(5+ln(x))+2*I*ln(exp(x^2+3)+x))","C"
3160,1,40,26,0.607000," ","int((2*(5*x^6+2*x^5-48*x^4+48*x^3)*ln(2)-20*x^6-8*x^5+192*x^4-192*x^3-x^2-6*x-9)/(2*(x^2+6*x+9)*ln(2)-4*x^2-24*x-36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{6}+4 x^{4}-4 x^{5}-\frac{x^{2}}{2 \left(\ln \left(2\right)-2\right)}+\frac{9}{2 \left(\ln \left(2\right)-2\right)}}{3+x}$&$40$\\ gosper&$\frac{2 x^{6} \ln \left(2\right)-8 x^{5} \ln \left(2\right)-4 x^{6}+8 x^{4} \ln \left(2\right)+16 x^{5}-16 x^{4}-x^{2}+9}{2 x \ln \left(2\right)+6 \ln \left(2\right)-4 x -12}$&$61$\\ default&$\frac{2 x^{5} \ln \left(2\right)-14 x^{4} \ln \left(2\right)-4 x^{5}+50 x^{3} \ln \left(2\right)+28 x^{4}-150 x^{2} \ln \left(2\right)-100 x^{3}+450 x \ln \left(2\right)+300 x^{2}-901 x -\frac{-4050 \ln \left(2\right)+8100}{3+x}}{2 \ln \left(2\right)-4}$&$79$\\ risch&$\frac{2 \ln \left(2\right) x^{5}}{2 \ln \left(2\right)-4}-\frac{14 \ln \left(2\right) x^{4}}{2 \ln \left(2\right)-4}-\frac{4 x^{5}}{2 \ln \left(2\right)-4}+\frac{50 \ln \left(2\right) x^{3}}{2 \ln \left(2\right)-4}+\frac{28 x^{4}}{2 \ln \left(2\right)-4}-\frac{150 \ln \left(2\right) x^{2}}{2 \ln \left(2\right)-4}-\frac{100 x^{3}}{2 \ln \left(2\right)-4}+\frac{450 x \ln \left(2\right)}{2 \ln \left(2\right)-4}+\frac{300 x^{2}}{2 \ln \left(2\right)-4}-\frac{901 x}{2 \ln \left(2\right)-4}+\frac{4050 \ln \left(2\right)^{2}}{\left(2 \ln \left(2\right)-4\right) \left(x \ln \left(2\right)+3 \ln \left(2\right)-2 x -6\right)}-\frac{16200 \ln \left(2\right)}{\left(2 \ln \left(2\right)-4\right) \left(x \ln \left(2\right)+3 \ln \left(2\right)-2 x -6\right)}+\frac{16200}{\left(2 \ln \left(2\right)-4\right) \left(x \ln \left(2\right)+3 \ln \left(2\right)-2 x -6\right)}$&$219$\\ meijerg&$-\frac{x}{\left(2 \ln \left(2\right)-4\right) \left(1+\frac{x}{3}\right)}-\frac{3 \left(\frac{\left(x +6\right) x}{3 x +9}-2 \ln \left(1+\frac{x}{3}\right)\right)}{2 \ln \left(2\right)-4}-\frac{6 \left(-\frac{x}{3 \left(1+\frac{x}{3}\right)}+\ln \left(1+\frac{x}{3}\right)\right)}{2 \ln \left(2\right)-4}+\frac{243 \left(10 \ln \left(2\right)-20\right) \left(\frac{x \left(\frac{14}{243} x^{5}-\frac{7}{27} x^{4}+\frac{35}{27} x^{3}-\frac{70}{9} x^{2}+70 x +420\right)}{210+70 x}-6 \ln \left(1+\frac{x}{3}\right)\right)}{2 \ln \left(2\right)-4}+\frac{81 \left(4 \ln \left(2\right)-8\right) \left(-\frac{x \left(-\frac{1}{27} x^{4}+\frac{5}{27} x^{3}-\frac{10}{9} x^{2}+10 x +60\right)}{36 \left(1+\frac{x}{3}\right)}+5 \ln \left(1+\frac{x}{3}\right)\right)}{2 \ln \left(2\right)-4}+\frac{27 \left(-96 \ln \left(2\right)+192\right) \left(\frac{x \left(\frac{5}{27} x^{3}-\frac{10}{9} x^{2}+10 x +60\right)}{15 x +45}-4 \ln \left(1+\frac{x}{3}\right)\right)}{2 \ln \left(2\right)-4}+\frac{9 \left(96 \ln \left(2\right)-192\right) \left(-\frac{x \left(-\frac{2}{9} x^{2}+2 x +12\right)}{12 \left(1+\frac{x}{3}\right)}+3 \ln \left(1+\frac{x}{3}\right)\right)}{2 \ln \left(2\right)-4}$&$289$\\ \hline \end{longtable}"," ",0,"(x^6+4*x^4-4*x^5-1/2/(ln(2)-2)*x^2+9/2/(ln(2)-2))/(3+x)","A"
3161,1,6,22,0.007000," ","int(-8/5/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{8}{5 x}$&$6$\\ default&$\frac{8}{5 x}$&$6$\\ norman&$\frac{8}{5 x}$&$6$\\ risch&$\frac{8}{5 x}$&$6$\\ \hline \end{longtable}"," ",0,"8/5/x","A"
3162,1,24,23,0.155000," ","int((-135*ln(2*ln(2))^2+(90*exp(x)-12)*ln(2*ln(2))-15*exp(x)^2+(-4*x+4)*exp(x))/(9*ln(2*ln(2))^2-6*exp(x)*ln(2*ln(2))+exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-15 x -\frac{4 x}{3 \ln \left(2\right)+3 \ln \left(\ln \left(2\right)\right)-{\mathrm e}^{x}}$&$24$\\ norman&$\frac{\left(-4-45 \ln \left(\ln \left(2\right)\right)-45 \ln \left(2\right)\right) x +15 \,{\mathrm e}^{x} x}{3 \ln \left(2 \ln \left(2\right)\right)-{\mathrm e}^{x}}$&$35$\\ default&$-\frac{4}{-3 \ln \left(2\right)-3 \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}}-\frac{45 \ln \left(2\right)}{-3 \ln \left(2\right)-3 \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}}-\frac{45 \ln \left(\ln \left(2\right)\right)}{-3 \ln \left(2\right)-3 \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}}-15 \ln \left(-3 \ln \left(2\right)-3 \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)-\frac{4 \ln \left(2\right) \ln \left({\mathrm e}^{x}\right)}{3 \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)^{2}}+\frac{12 \ln \left(2\right)}{\left(3 \ln \left(2\right)+3 \ln \left(\ln \left(2\right)\right)\right) \left(-3 \ln \left(2\right)-3 \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)}+\frac{4 \ln \left(2\right) \ln \left(-3 \ln \left(2\right)-3 \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)}{3 \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)^{2}}-\frac{15 \ln \left(2\right)^{2} \ln \left({\mathrm e}^{x}\right)}{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)^{2}}+\frac{135 \ln \left(2\right)^{2}}{\left(3 \ln \left(2\right)+3 \ln \left(\ln \left(2\right)\right)\right) \left(-3 \ln \left(2\right)-3 \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)}+\frac{15 \ln \left(2\right)^{2} \ln \left(-3 \ln \left(2\right)-3 \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)}{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)^{2}}-\frac{4 \ln \left(\ln \left(2\right)\right) \ln \left({\mathrm e}^{x}\right)}{3 \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)^{2}}+\frac{12 \ln \left(\ln \left(2\right)\right)}{\left(3 \ln \left(2\right)+3 \ln \left(\ln \left(2\right)\right)\right) \left(-3 \ln \left(2\right)-3 \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)}+\frac{4 \ln \left(\ln \left(2\right)\right) \ln \left(-3 \ln \left(2\right)-3 \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)}{3 \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)^{2}}-\frac{15 \ln \left(\ln \left(2\right)\right)^{2} \ln \left({\mathrm e}^{x}\right)}{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)^{2}}+\frac{135 \ln \left(\ln \left(2\right)\right)^{2}}{\left(3 \ln \left(2\right)+3 \ln \left(\ln \left(2\right)\right)\right) \left(-3 \ln \left(2\right)-3 \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)}+\frac{15 \ln \left(\ln \left(2\right)\right)^{2} \ln \left(-3 \ln \left(2\right)-3 \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)}{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)^{2}}-\frac{4 \ln \left(3 \ln \left(2\right)+3 \ln \left(\ln \left(2\right)\right)-{\mathrm e}^{x}\right)}{3 \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)}-\frac{4 x \,{\mathrm e}^{x}}{3 \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) \left(3 \ln \left(2\right)+3 \ln \left(\ln \left(2\right)\right)-{\mathrm e}^{x}\right)}-\frac{30 \ln \left(\ln \left(2\right)\right) \ln \left(2\right) \ln \left({\mathrm e}^{x}\right)}{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)^{2}}+\frac{270 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)}{\left(3 \ln \left(2\right)+3 \ln \left(\ln \left(2\right)\right)\right) \left(-3 \ln \left(2\right)-3 \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)}+\frac{30 \ln \left(\ln \left(2\right)\right) \ln \left(2\right) \ln \left(-3 \ln \left(2\right)-3 \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)}{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)^{2}}$&$501$\\ \hline \end{longtable}"," ",0,"-15*x-4*x/(3*ln(2)+3*ln(ln(2))-exp(x))","A"
3163,1,20,26,0.641000," ","int(((-6*x^7+7*x^6)*ln(x)+11*x^7-13*x^6)/(x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x^{7}-x^{7} \ln \left(x \right)}{x -1}$&$20$\\ risch&$-\frac{\left(x^{7}-x +1\right) \ln \left(x \right)}{x -1}-\frac{-2 x^{7}+x \ln \left(x \right)-\ln \left(x \right)+2 x -2}{x -1}$&$44$\\ default&$2 x^{6}+2 x^{5}+2 x^{4}+2 x^{3}+2 x^{2}+2 x +\frac{2}{x -1}-x^{6} \ln \left(x \right)-x^{5} \ln \left(x \right)-x^{4} \ln \left(x \right)-x^{3} \ln \left(x \right)-x^{2} \ln \left(x \right)-x \ln \left(x \right)-\frac{\ln \left(x \right) x}{x -1}$&$87$\\ \hline \end{longtable}"," ",0,"(2*x^7-x^7*ln(x))/(x-1)","A"
3164,1,30,30,0.570000," ","int(((-x+4)*exp(4)*ln(-x+4)+((x-4)*exp(4)-4*x^5+16*x^4+64*x^3-256*x^2)*exp((x^4-32*x^2+256)/exp(4))+x*exp(4))/((x-4)*exp(1)*exp(4)*ln(-x+4)^2+(-2*x+8)*exp(1)*exp(4)*exp((x^4-32*x^2+256)/exp(4))*ln(-x+4)+(x-4)*exp(1)*exp(4)*exp((x^4-32*x^2+256)/exp(4))^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-1} x}{{\mathrm e}^{\left(x -4\right)^{2} \left(4+x \right)^{2} {\mathrm e}^{-4}}-\ln \left(-x +4\right)}$&$30$\\ \hline \end{longtable}"," ",0,"exp(-1)*x/(exp((x-4)^2*(4+x)^2*exp(-4))-ln(-x+4))","A"
3165,1,243,25,0.431000," ","int((3*ln(x)-x^2+6*x-1)/((x*ln(x)-x^3+3*x^2)*ln(2*x^3/(ln(x)-x^2+3*x))*ln(ln(2*x^3/(ln(x)-x^2+3*x)))+(4*x*ln(x)-4*x^3+12*x^2)*ln(2*x^3/(ln(x)-x^2+3*x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\ln \left(2\right)+i \pi +3 \ln \left(x \right)-\ln \left(-\ln \left(x \right)+x^{2}-3 x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x^{3}}{\ln \left(x \right)-x^{2}+3 x}\right) \left(\mathrm{csgn}\left(\frac{i x^{3}}{\ln \left(x \right)-x^{2}+3 x}\right)+\mathrm{csgn}\left(i x^{3}\right)\right) \left(\mathrm{csgn}\left(\frac{i x^{3}}{\ln \left(x \right)-x^{2}+3 x}\right)-\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)-x^{2}+3 x}\right)\right)}{2}+i \pi  \mathrm{csgn}\left(\frac{i x^{3}}{\ln \left(x \right)-x^{2}+3 x}\right)^{2} \left(-\mathrm{csgn}\left(\frac{i x^{3}}{\ln \left(x \right)-x^{2}+3 x}\right)-1\right)\right)+4\right)$&$243$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(2)+I*Pi+3*ln(x)-ln(-ln(x)+x^2-3*x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^3)*(-csgn(I*x^3)+csgn(I*x^2))*(-csgn(I*x^3)+csgn(I*x))+1/2*I*Pi*csgn(I*x^3/(ln(x)-x^2+3*x))*(csgn(I*x^3/(ln(x)-x^2+3*x))+csgn(I*x^3))*(csgn(I*x^3/(ln(x)-x^2+3*x))-csgn(I/(ln(x)-x^2+3*x)))+I*Pi*csgn(I*x^3/(ln(x)-x^2+3*x))^2*(-csgn(I*x^3/(ln(x)-x^2+3*x))-1))+4)","C"
3166,1,16,19,0.533000," ","int((x^4*exp(3)+4*x-12)/(x^4*exp(3)+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -3 \ln \left(x \right)+\ln \left(x^{3} {\mathrm e}^{3}+4\right)$&$16$\\ norman&$x -3 \ln \left(x \right)+\ln \left(x^{3} {\mathrm e}^{3}+4\right)$&$16$\\ risch&$x -3 \ln \left(x \right)+\ln \left(-x^{3} {\mathrm e}^{3}-4\right)$&$17$\\ meijerg&$-3 \ln \left(x \right)-3+2 \ln \left(2\right)+\ln \left(1+\frac{x^{3} {\mathrm e}^{3}}{4}\right)+\frac{2^{\frac{2}{3}} {\mathrm e}^{-1} \left(\frac{3 x \,{\mathrm e} 2^{\frac{1}{3}}}{2}-\frac{x \,{\mathrm e} 2^{\frac{1}{3}} \left(\frac{2^{\frac{2}{3}} {\mathrm e}^{-1} \ln \left(1+\frac{2^{\frac{1}{3}} {\mathrm e} \left(x^{3}\right)^{\frac{1}{3}}}{2}\right)}{\left(x^{3}\right)^{\frac{1}{3}}}-\frac{2^{\frac{2}{3}} {\mathrm e}^{-1} \ln \left(1-\frac{2^{\frac{1}{3}} {\mathrm e} \left(x^{3}\right)^{\frac{1}{3}}}{2}+\frac{2^{\frac{2}{3}} {\mathrm e}^{2} \left(x^{3}\right)^{\frac{2}{3}}}{4}\right)}{2 \left(x^{3}\right)^{\frac{1}{3}}}+\frac{2^{\frac{2}{3}} \sqrt{3}\, {\mathrm e}^{-1} \arctan \left(\frac{2^{\frac{1}{3}} \sqrt{3}\, {\mathrm e} \left(x^{3}\right)^{\frac{1}{3}}}{4-2^{\frac{1}{3}} {\mathrm e} \left(x^{3}\right)^{\frac{1}{3}}}\right)}{\left(x^{3}\right)^{\frac{1}{3}}}\right)}{2}\right)}{3}+\frac{{\mathrm e}^{-1} 2^{\frac{2}{3}} \left(\frac{x \ln \left(1+\frac{2^{\frac{1}{3}} {\mathrm e} \left(x^{3}\right)^{\frac{1}{3}}}{2}\right)}{\left(x^{3}\right)^{\frac{1}{3}}}-\frac{x \ln \left(1-\frac{2^{\frac{1}{3}} {\mathrm e} \left(x^{3}\right)^{\frac{1}{3}}}{2}+\frac{2^{\frac{2}{3}} {\mathrm e}^{2} \left(x^{3}\right)^{\frac{2}{3}}}{4}\right)}{2 \left(x^{3}\right)^{\frac{1}{3}}}+\frac{\sqrt{3}\, x \arctan \left(\frac{2^{\frac{1}{3}} \sqrt{3}\, {\mathrm e} \left(x^{3}\right)^{\frac{1}{3}}}{4-2^{\frac{1}{3}} {\mathrm e} \left(x^{3}\right)^{\frac{1}{3}}}\right)}{\left(x^{3}\right)^{\frac{1}{3}}}\right)}{3}$&$264$\\ \hline \end{longtable}"," ",0,"x-3*ln(x)+ln(x^3*exp(3)+4)","A"
3167,1,17,16,0.498000," ","int(((exp(5/4)+2+x)*ln(5*exp(5/4)+5*x+10)-x)/(x*exp(5/4)+x^2+2*x)/ln(5*exp(5/4)+5*x+10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left(5 \,{\mathrm e}^{\frac{5}{4}}+5 x +10\right)\right)+\ln \left(x \right)$&$17$\\ risch&$-\ln \left(\ln \left(5 \,{\mathrm e}^{\frac{5}{4}}+5 x +10\right)\right)+\ln \left(x \right)$&$17$\\ derivativedivides&$\ln \left(-5 x \right)-\ln \left(\ln \left(5 \,{\mathrm e}^{\frac{5}{4}}+5 x +10\right)\right)$&$19$\\ default&$\ln \left(-5 x \right)-\ln \left(\ln \left(5 \,{\mathrm e}^{\frac{5}{4}}+5 x +10\right)\right)$&$19$\\ \hline \end{longtable}"," ",0,"-ln(ln(5*exp(5/4)+5*x+10))+ln(x)","A"
3168,1,28,25,0.047000," ","int((-25*x*exp(exp(3))*ln(x)^2+(50*x-250)*exp(exp(3))*ln(x)+125*x*exp(exp(3))^2+25*x*exp(exp(3)))*exp((-5*x+25)*exp(exp(3))/(5*ln(x)^2-5*x*exp(exp(3))-x))/(25*x*ln(x)^4+(-50*x^2*exp(exp(3))-10*x^2)*ln(x)^2+25*x^3*exp(exp(3))^2+10*x^3*exp(exp(3))+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{5 \left(x -5\right) {\mathrm e}^{{\mathrm e}^{3}}}{5 \ln \left(x \right)^{2}-5 x \,{\mathrm e}^{{\mathrm e}^{3}}-x}}$&$28$\\ \hline \end{longtable}"," ",0,"exp(-5*(x-5)*exp(exp(3))/(5*ln(x)^2-5*x*exp(exp(3))-x))","A"
3169,1,48,23,0.132000," ","int((-60*ln(x)+x*ln(exp(1)/(ln(5)^2+4*ln(5)+4)))*exp((-5*x*ln(exp(1)/(ln(5)^2+4*ln(5)+4))+60)/x/ln(exp(1)/(ln(5)^2+4*ln(5)+4)))/x^2/ln(exp(1)/(ln(5)^2+4*ln(5)+4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{\frac{-5 x \ln \left(\frac{{\mathrm e}}{\ln \left(5\right)^{2}+4 \ln \left(5\right)+4}\right)+60}{x \ln \left(\frac{{\mathrm e}}{\ln \left(5\right)^{2}+4 \ln \left(5\right)+4}\right)}} \ln \left(x \right)$&$48$\\ norman&${\mathrm e}^{\frac{-5 x \ln \left(\frac{{\mathrm e}}{\ln \left(5\right)^{2}+4 \ln \left(5\right)+4}\right)+60}{x \ln \left(\frac{{\mathrm e}}{\ln \left(5\right)^{2}+4 \ln \left(5\right)+4}\right)}} \ln \left(x \right)$&$48$\\ risch&$-\frac{\left(2 \ln \left(2+\ln \left(5\right)\right)-1\right) {\mathrm e}^{-\frac{5 \left(2 x \ln \left(2+\ln \left(5\right)\right)-x +12\right)}{x \left(2 \ln \left(2+\ln \left(5\right)\right)-1\right)}} \ln \left(x \right)}{-2 \ln \left(2+\ln \left(5\right)\right)+1}$&$55$\\ \hline \end{longtable}"," ",0,"exp((-5*x*ln(exp(1)/(ln(5)^2+4*ln(5)+4))+60)/x/ln(exp(1)/(ln(5)^2+4*ln(5)+4)))*ln(x)","B"
3170,-1,0,18,180.000000," ","int((-54*x^34+408*x^33-3*x^17+204*x^16-6528*x^15+130560*x^14-1827840*x^13+19009536*x^12-152076288*x^11+955908096*x^10-4779540480*x^9+19118161920*x^8-61178118144*x^7+155726118912*x^6-311452237824*x^5+479157288960*x^4-547608330240*x^3+438086664192*x^2-219043332096*x+51539607552)*exp((-x^34-x^17+66*x^16-2048*x^15+39680*x^14-537600*x^13+5404672*x^12-41746432*x^11+253034496*x^10-1218314240*x^9+4685824000*x^8-14394851328*x^7+35114713088*x^6-67175972864*x^5+98650030080*x^4-107374182400*x^3+81604378624*x^2-38654705664*x+8589934592)/(x^16-64*x^15+1920*x^14-35840*x^13+465920*x^12-4472832*x^11+32800768*x^10-187432960*x^9+843448320*x^8-2998927360*x^7+8396996608*x^6-18320719872*x^5+30534533120*x^4-37580963840*x^3+32212254720*x^2-17179869184*x+4294967296))/(x^17-68*x^16+2176*x^15-43520*x^14+609280*x^13-6336512*x^12+50692096*x^11-318636032*x^10+1593180160*x^9-6372720640*x^8+20392706048*x^7-51908706304*x^6+103817412608*x^5-159719096320*x^4+182536110080*x^3-146028888064*x^2+73014444032*x-17179869184),x,method=_RETURNVERBOSE)","\text{hanged}"," ",0,"int((-54*x^34+408*x^33-3*x^17+204*x^16-6528*x^15+130560*x^14-1827840*x^13+19009536*x^12-152076288*x^11+955908096*x^10-4779540480*x^9+19118161920*x^8-61178118144*x^7+155726118912*x^6-311452237824*x^5+479157288960*x^4-547608330240*x^3+438086664192*x^2-219043332096*x+51539607552)*exp((-x^34-x^17+66*x^16-2048*x^15+39680*x^14-537600*x^13+5404672*x^12-41746432*x^11+253034496*x^10-1218314240*x^9+4685824000*x^8-14394851328*x^7+35114713088*x^6-67175972864*x^5+98650030080*x^4-107374182400*x^3+81604378624*x^2-38654705664*x+8589934592)/(x^16-64*x^15+1920*x^14-35840*x^13+465920*x^12-4472832*x^11+32800768*x^10-187432960*x^9+843448320*x^8-2998927360*x^7+8396996608*x^6-18320719872*x^5+30534533120*x^4-37580963840*x^3+32212254720*x^2-17179869184*x+4294967296))/(x^17-68*x^16+2176*x^15-43520*x^14+609280*x^13-6336512*x^12+50692096*x^11-318636032*x^10+1593180160*x^9-6372720640*x^8+20392706048*x^7-51908706304*x^6+103817412608*x^5-159719096320*x^4+182536110080*x^3-146028888064*x^2+73014444032*x-17179869184),x,method=_RETURNVERBOSE)","F"
3171,1,19,23,0.571000," ","int(((16*x^2-96*x+144)*exp(x)+4*exp(-1/(x-3))+3*x^2-18*x+27)/(x^2-6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x +16 \,{\mathrm e}^{x}+4 \,{\mathrm e}^{-\frac{1}{x -3}}$&$19$\\ risch&$3 x +16 \,{\mathrm e}^{x}+4 \,{\mathrm e}^{-\frac{1}{x -3}}$&$19$\\ norman&$\frac{3 x^{2}+4 x \,{\mathrm e}^{-\frac{1}{x -3}}+16 \,{\mathrm e}^{x} x -48 \,{\mathrm e}^{x}-12 \,{\mathrm e}^{-\frac{1}{x -3}}-27}{x -3}$&$44$\\ \hline \end{longtable}"," ",0,"3*x+4/exp(1/(x-3))+16*exp(x)","A"
3172,1,426,29,0.691000," ","int(((-2*x*exp(2*x^2+4*x)-2*x)*ln(25/4/exp(x))*ln((x^2*exp(2*x^2+4*x)+x^2)/exp(2*x^2+4*x))+(-2*exp(2*x^2+4*x)+4*x^2+4*x-2)*ln(25/4/exp(x))^2)/(x*exp(2*x^2+4*x)+x)/ln((x^2*exp(2*x^2+4*x)+x^2)/exp(2*x^2+4*x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{i \left(16 \ln \left(5\right)^{2}+16 \ln \left(2\right)^{2}-32 \ln \left(2\right) \ln \left(5\right)-16 \ln \left(5\right) \ln \left({\mathrm e}^{x}\right)+16 \ln \left(2\right) \ln \left({\mathrm e}^{x}\right)+4 \ln \left({\mathrm e}^{x}\right)^{2}\right)}{2 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-4 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+2 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x \left(2+x \right)} \left({\mathrm e}^{2 x \left(2+x \right)}+1\right)\right) \mathrm{csgn}\left(i x^{2} \left({\mathrm e}^{2 x \left(2+x \right)}+1\right) {\mathrm e}^{-2 x \left(2+x \right)}\right)-2 \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \left({\mathrm e}^{2 x \left(2+x \right)}+1\right) {\mathrm e}^{-2 x \left(2+x \right)}\right)^{2}+2 \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{2 x \left(2+x \right)}+1\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x \left(2+x \right)}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x \left(2+x \right)} \left({\mathrm e}^{2 x \left(2+x \right)}+1\right)\right)-2 \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{2 x \left(2+x \right)}+1\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x \left(2+x \right)} \left({\mathrm e}^{2 x \left(2+x \right)}+1\right)\right)^{2}-2 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x \left(2+x \right)}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x \left(2+x \right)} \left({\mathrm e}^{2 x \left(2+x \right)}+1\right)\right)^{2}+2 \pi  \mathrm{csgn}\left(i {\mathrm e}^{-2 x \left(2+x \right)} \left({\mathrm e}^{2 x \left(2+x \right)}+1\right)\right)^{3}-2 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x \left(2+x \right)} \left({\mathrm e}^{2 x \left(2+x \right)}+1\right)\right) \mathrm{csgn}\left(i x^{2} \left({\mathrm e}^{2 x \left(2+x \right)}+1\right) {\mathrm e}^{-2 x \left(2+x \right)}\right)^{2}+2 \pi  \mathrm{csgn}\left(i x^{2} \left({\mathrm e}^{2 x \left(2+x \right)}+1\right) {\mathrm e}^{-2 x \left(2+x \right)}\right)^{3}+8 i \ln \left(x \right)+4 i \ln \left({\mathrm e}^{2 x \left(2+x \right)}+1\right)-4 i \ln \left({\mathrm e}^{2 x \left(2+x \right)}\right)}$&$426$\\ \hline \end{longtable}"," ",0,"1/2*I*(16*ln(5)^2+16*ln(2)^2-32*ln(2)*ln(5)-16*ln(5)*ln(exp(x))+16*ln(2)*ln(exp(x))+4*ln(exp(x))^2)/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*exp(-2*x*(2+x))*(exp(2*x*(2+x))+1))*csgn(I*x^2*(exp(2*x*(2+x))+1)*exp(-2*x*(2+x)))-Pi*csgn(I*x^2)*csgn(I*x^2*(exp(2*x*(2+x))+1)*exp(-2*x*(2+x)))^2+Pi*csgn(I*(exp(2*x*(2+x))+1))*csgn(I*exp(-2*x*(2+x)))*csgn(I*exp(-2*x*(2+x))*(exp(2*x*(2+x))+1))-Pi*csgn(I*(exp(2*x*(2+x))+1))*csgn(I*exp(-2*x*(2+x))*(exp(2*x*(2+x))+1))^2-Pi*csgn(I*exp(-2*x*(2+x)))*csgn(I*exp(-2*x*(2+x))*(exp(2*x*(2+x))+1))^2+Pi*csgn(I*exp(-2*x*(2+x))*(exp(2*x*(2+x))+1))^3-Pi*csgn(I*exp(-2*x*(2+x))*(exp(2*x*(2+x))+1))*csgn(I*x^2*(exp(2*x*(2+x))+1)*exp(-2*x*(2+x)))^2+Pi*csgn(I*x^2*(exp(2*x*(2+x))+1)*exp(-2*x*(2+x)))^3+4*I*ln(x)+2*I*ln(exp(2*x*(2+x))+1)-2*I*ln(exp(2*x*(2+x))))","C"
3173,1,31,24,0.066000," ","int(((2*x^4-18*x^3+72*x^2-108*x)*ln((-x^2+6*x-18)/(x-3))+2*(x^3-9*x^2+36*x-54)*ln(2)+x^4-4*x^3-18*x^2+72*x-108)/(x^3-9*x^2+36*x-54),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +x^{2} \ln \left(\frac{-x^{2}+6 x -18}{x -3}\right)+2 x \ln \left(2\right)$&$31$\\ norman&$x^{2} \ln \left(\frac{-x^{2}+6 x -18}{x -3}\right)+\left(2+2 \ln \left(2\right)\right) x$&$31$\\ risch&$2 x +x^{2} \ln \left(\frac{-x^{2}+6 x -18}{x -3}\right)+2 x \ln \left(2\right)$&$31$\\ \hline \end{longtable}"," ",0,"2*x+x^2*ln((-x^2+6*x-18)/(x-3))+2*x*ln(2)","A"
3174,0,0,26,0.059000," ","int((((-4*x^3+16*x^2)*ln(x^2-4*x)+4*x^2-16*x)*ln(-x^2*ln(x^2-4*x)+x)+(-3*x^5-108*x^4-712*x^3+4928*x^2-640*x)*ln(x^2-4*x)+3*x^4+116*x^3+860*x^2-5184*x+320)/((3*x^5+108*x^4+720*x^3-4800*x^2)*ln(x^2-4*x)-3*x^4-108*x^3-720*x^2+4800*x),x)","\[\int \frac{\left(\left(-4 x^{3}+16 x^{2}\right) \ln \left(x^{2}-4 x \right)+4 x^{2}-16 x \right) \ln \left(-x^{2} \ln \left(x^{2}-4 x \right)+x \right)+\left(-3 x^{5}-108 x^{4}-712 x^{3}+4928 x^{2}-640 x \right) \ln \left(x^{2}-4 x \right)+3 x^{4}+116 x^{3}+860 x^{2}-5184 x +320}{\left(3 x^{5}+108 x^{4}+720 x^{3}-4800 x^{2}\right) \ln \left(x^{2}-4 x \right)-3 x^{4}-108 x^{3}-720 x^{2}+4800 x}\, dx\]"," ",0,"int((((-4*x^3+16*x^2)*ln(x^2-4*x)+4*x^2-16*x)*ln(-x^2*ln(x^2-4*x)+x)+(-3*x^5-108*x^4-712*x^3+4928*x^2-640*x)*ln(x^2-4*x)+3*x^4+116*x^3+860*x^2-5184*x+320)/((3*x^5+108*x^4+720*x^3-4800*x^2)*ln(x^2-4*x)-3*x^4-108*x^3-720*x^2+4800*x),x)","F"
3175,1,49,19,0.043000," ","int(1/4*(((12*x^2-12)*ln(3)+16*x^3-24*x)*ln(x)^3+(-12*x^2*ln(3)-16*x^3)*ln(x)^2+(7*x^2*ln(3)+8*x^3)*ln(x)-2*x^2*ln(3)-2*x^3)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3} \ln \left(3\right)+x^{4}-3 x \ln \left(3\right)-3 x^{2}-\frac{x^{3} \left(4 \ln \left(3\right) \ln \left(x \right)+4 x \ln \left(x \right)-\ln \left(3\right)-x \right)}{4 \ln \left(x \right)^{2}}$&$49$\\ norman&$\frac{x^{4} \ln \left(x \right)^{2}+x^{3} \ln \left(3\right) \ln \left(x \right)^{2}+\frac{x^{4}}{4}-3 x^{2} \ln \left(x \right)^{2}+\frac{x^{3} \ln \left(3\right)}{4}-x^{4} \ln \left(x \right)-3 x \ln \left(3\right) \ln \left(x \right)^{2}-x^{3} \ln \left(3\right) \ln \left(x \right)}{\ln \left(x \right)^{2}}$&$71$\\ default&$x^{3} \ln \left(3\right)+x^{4}+3 \ln \left(3\right) \expIntegralEi \left(1, -3 \ln \left(x \right)\right)-3 x \ln \left(3\right)-3 x^{2}+\frac{7 \ln \left(3\right) \left(-\frac{x^{3}}{\ln \left(x \right)}-3 \expIntegralEi \left(1, -3 \ln \left(x \right)\right)\right)}{4}-\frac{x^{4}}{\ln \left(x \right)}-\frac{\ln \left(3\right) \left(-\frac{x^{3}}{2 \ln \left(x \right)^{2}}-\frac{3 x^{3}}{2 \ln \left(x \right)}-\frac{9 \expIntegralEi \left(1, -3 \ln \left(x \right)\right)}{2}\right)}{2}+\frac{x^{4}}{4 \ln \left(x \right)^{2}}$&$102$\\ \hline \end{longtable}"," ",0,"x^3*ln(3)+x^4-3*x*ln(3)-3*x^2-1/4*x^3*(4*ln(3)*ln(x)+4*x*ln(x)-ln(3)-x)/ln(x)^2","B"
3176,1,22,28,0.564000," ","int(((-2*x^4+14*x^3-23*x^2+12*x-1)*exp(x^2-2)+x^2-2*x+5)/(x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{4}{x -1}+\left(5-x \right) {\mathrm e}^{x^{2}-2}$&$22$\\ default&$-{\mathrm e}^{x^{2}} {\mathrm e}^{-2} x +5 \,{\mathrm e}^{x^{2}} {\mathrm e}^{-2}+x -\frac{4}{x -1}$&$27$\\ norman&$\frac{x^{2}+6 x \,{\mathrm e}^{x^{2}-2}-{\mathrm e}^{x^{2}-2} x^{2}-5 \,{\mathrm e}^{x^{2}-2}-5}{x -1}$&$40$\\ \hline \end{longtable}"," ",0,"x-4/(x-1)+(5-x)*exp(x^2-2)","A"
3177,1,19,18,0.109000," ","int((-x-2)*exp(-1/2*x-3)/(x*exp(-1/2*x-3)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 \ln \left(x \right)+2 \ln \left(x -{\mathrm e}^{-\frac{x}{2}-3}\right)$&$19$\\ risch&$-2 \ln \left(x \right)+6+2 \ln \left({\mathrm e}^{-\frac{x}{2}-3}-x \right)$&$20$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+2*ln(x-exp(-1/2*x-3))","A"
3178,1,13,18,0.014000," ","int(-16*exp(4*x-3)+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x -4 \,{\mathrm e}^{4 x -3}$&$13$\\ norman&$3 x -4 \,{\mathrm e}^{4 x -3}$&$13$\\ risch&$3 x -4 \,{\mathrm e}^{4 x -3}$&$13$\\ derivativedivides&$-4 \,{\mathrm e}^{4 x -3}+\frac{3 \ln \left({\mathrm e}^{4 x -3}\right)}{4}$&$19$\\ \hline \end{longtable}"," ",0,"3*x-4*exp(4*x-3)","A"
3179,1,31,37,0.099000," ","int(((-41472*x^4*exp(3)^4-165888*x^4*exp(3)^3-248832*x^4*exp(3)^2-165888*x^4*exp(3)-41472*x^4)*exp(x)-82944*x^3*exp(3)^5-331776*x^3*exp(3)^4-497664*x^3*exp(3)^3-331776*x^3*exp(3)^2-82944*x^3*exp(3))*exp(exp(x)/exp(3))^2/exp(3)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-20736 \left({\mathrm e}^{12}+4 \,{\mathrm e}^{9}+6 \,{\mathrm e}^{6}+4 \,{\mathrm e}^{3}+1\right) x^{4} {\mathrm e}^{-12+2 \,{\mathrm e}^{x -3}}$&$31$\\ norman&$\left(-20736 \,{\mathrm e}^{12}-82944 \,{\mathrm e}^{9}-124416 \,{\mathrm e}^{6}-82944 \,{\mathrm e}^{3}-20736\right) x^{4} {\mathrm e}^{2 \,{\mathrm e}^{x -3}} {\mathrm e}^{-12}$&$43$\\ \hline \end{longtable}"," ",0,"-20736*(exp(12)+4*exp(9)+6*exp(6)+4*exp(3)+1)*x^4*exp(-12+2*exp(x-3))","A"
3180,1,30,34,0.200000," ","int(((-4*x^3+44*x^2-244*x-244)*exp(x)^2+16*x^4-144*x^3+992*x^2-976*x-976)*exp(5+x)*exp((4*x^2-40*x+244)*exp(5+x)/(9*x*exp(x)^2+36*x^2+36*x))/(9*x^2*exp(x)^4+(72*x^3+72*x^2)*exp(x)^2+144*x^4+288*x^3+144*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{4 \left(x^{2}-10 x +61\right) {\mathrm e}^{5+x}}{9 x \left({\mathrm e}^{2 x}+4 x +4\right)}}$&$30$\\ \hline \end{longtable}"," ",0,"exp(4/9*(x^2-10*x+61)*exp(5+x)/x/(exp(2*x)+4*x+4))","A"
3181,1,16,16,0.042000," ","int((-60*ln(4*x)^2-40*ln(4*x)+960)/(3*x^4*ln(4*x)^4-96*x^4*ln(4*x)^2+768*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{20}{3 x^{3} \left(\ln \left(4 x \right)^{2}-16\right)}$&$16$\\ risch&$\frac{20}{3 x^{3} \left(\ln \left(4 x \right)^{2}-16\right)}$&$16$\\ \hline \end{longtable}"," ",0,"20/3/x^3/(ln(4*x)^2-16)","A"
3182,1,7,12,0.013000," ","int(1/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{\ln \left(3\right)}$&$7$\\ norman&$\frac{x}{\ln \left(3\right)}$&$7$\\ risch&$\frac{x}{\ln \left(3\right)}$&$7$\\ \hline \end{longtable}"," ",0,"x/ln(3)","A"
3183,1,12,12,0.019000," ","int(1/5*(x+1)*exp(x)+x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{4}}{4}+\frac{{\mathrm e}^{x} x}{5}$&$12$\\ norman&$\frac{x^{4}}{4}+\frac{{\mathrm e}^{x} x}{5}$&$12$\\ risch&$\frac{x^{4}}{4}+\frac{{\mathrm e}^{x} x}{5}$&$12$\\ \hline \end{longtable}"," ",0,"1/4*x^4+1/5*exp(x)*x","A"
3184,1,57,24,0.080000," ","int((((60*x^2-120*x)*exp(x)*ln(x-2)^2+((30*x^4-360*x^3+1320*x^2-1440*x)*exp(x)+60*x^3-360*x^2+480*x)*ln(x-2)+(30*x^3-240*x^2+480*x)*exp(x)-30*x^3+240*x^2-480*x)*ln(x)+((60*x-120)*exp(x)-60*x+120)*ln(x-2)^2+((30*x^3-300*x^2+960*x-960)*exp(x)-30*x^3+300*x^2-960*x+960)*ln(x-2))/((4*x^2-8*x)*ln(x-2)^2+(4*x^4-40*x^3+128*x^2-128*x)*ln(x-2)+x^6-18*x^5+128*x^4-448*x^3+768*x^2-512*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$15 \,{\mathrm e}^{x} \ln \left(x \right)-15 \ln \left(x \right)-\frac{15 \left({\mathrm e}^{x} x^{2}-x^{2}-8 \,{\mathrm e}^{x} x +8 x +16 \,{\mathrm e}^{x}-16\right) \ln \left(x \right)}{x^{2}+2 \ln \left(x -2\right)-8 x +16}$&$57$\\ \hline \end{longtable}"," ",0,"15*exp(x)*ln(x)-15*ln(x)-15*(exp(x)*x^2-x^2-8*exp(x)*x+8*x+16*exp(x)-16)*ln(x)/(x^2+2*ln(x-2)-8*x+16)","B"
3185,1,18,18,0.031000," ","int((2*exp(x)*x^2+4*x)*exp(exp(x))+12*x^3-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +2 \,{\mathrm e}^{{\mathrm e}^{x}} x^{2}+3 x^{4}$&$18$\\ norman&$-x +2 \,{\mathrm e}^{{\mathrm e}^{x}} x^{2}+3 x^{4}$&$18$\\ risch&$-x +2 \,{\mathrm e}^{{\mathrm e}^{x}} x^{2}+3 x^{4}$&$18$\\ \hline \end{longtable}"," ",0,"-x+2*exp(exp(x))*x^2+3*x^4","A"
3186,1,44,29,0.051000," ","int(((-4*x^6-7*x^4+12*x^2)*exp(x)^3+(-48*x^6-84*x^4+144*x^2)*exp(x)^2+(8*x^8-206*x^6+14*x^5-328*x^4-16*x^3+576*x^2)*exp(x)-256*x^6+56*x^5-448*x^4-64*x^3+768*x^2)/((16*x^8-56*x^6+81*x^4-56*x^2+16)*exp(x)^3+(192*x^8-672*x^6+972*x^4-672*x^2+192)*exp(x)^2+(768*x^8-2688*x^6+3888*x^4-2688*x^2+768)*exp(x)+1024*x^8-3584*x^6+5184*x^4-3584*x^2+1024),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3}}{4 x^{4}-7 x^{2}+4}-\frac{x^{4}}{\left(4 x^{4}-7 x^{2}+4\right) \left({\mathrm e}^{x}+4\right)^{2}}$&$44$\\ \hline \end{longtable}"," ",0,"1/4*x^3/(x^4-7/4*x^2+1)-x^4/(4*x^4-7*x^2+4)/(exp(x)+4)^2","A"
3187,1,26,19,0.203000," ","int((1280*x^4*exp(3)^2+2048*x^5*exp(3)+768*x^6+1024*x^5)/(exp(3)^4+4*x*exp(3)^3+(6*x^2+2*x)*exp(3)^2+(4*x^3+4*x^2)*exp(3)+x^4+2*x^3+x^2)/ln(2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{256 x^{5}}{\ln \left(2\right)^{4} \left({\mathrm e}^{6}+2 x \,{\mathrm e}^{3}+x^{2}+x \right)}$&$26$\\ norman&$\frac{256 x^{5}}{\ln \left(2\right)^{4} \left({\mathrm e}^{6}+2 x \,{\mathrm e}^{3}+x^{2}+x \right)}$&$26$\\ risch&$\frac{768 x \,{\mathrm e}^{6}}{\ln \left(2\right)^{4}}-\frac{512 x^{2} {\mathrm e}^{3}}{\ln \left(2\right)^{4}}+\frac{256 x^{3}}{\ln \left(2\right)^{4}}+\frac{1024 x \,{\mathrm e}^{3}}{\ln \left(2\right)^{4}}-\frac{256 x^{2}}{\ln \left(2\right)^{4}}+\frac{256 x}{\ln \left(2\right)^{4}}+\frac{\left(1280 \,{\mathrm e}^{12}+5120 \,{\mathrm e}^{9}+5376 \,{\mathrm e}^{6}+2048 \,{\mathrm e}^{3}+256\right) x +1024 \,{\mathrm e}^{15}+2560 \,{\mathrm e}^{12}+1536 \,{\mathrm e}^{9}+256 \,{\mathrm e}^{6}}{\ln \left(2\right)^{4} \left({\mathrm e}^{6}+2 x \,{\mathrm e}^{3}+x^{2}+x \right)}$&$112$\\ default&$\frac{768 x \,{\mathrm e}^{6}-512 x^{2} {\mathrm e}^{3}+256 x^{3}+1024 x \,{\mathrm e}^{3}-256 x^{2}+256 x +128 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+\left(4 \,{\mathrm e}^{3}+2\right) \textit{\_Z}^{3}+\left(6 \,{\mathrm e}^{6}+4 \,{\mathrm e}^{3}+1\right) \textit{\_Z}^{2}+\left(2 \,{\mathrm e}^{6}+4 \,{\mathrm e}^{9}\right) \textit{\_Z} +{\mathrm e}^{12}\right)}{\sum}\frac{\left(\left(-5 \,{\mathrm e}^{12}-20 \,{\mathrm e}^{9}-21 \,{\mathrm e}^{6}-8 \,{\mathrm e}^{3}-1\right) \textit{\_R}^{2}+2 \left(-10 \,{\mathrm e}^{12}-4 \,{\mathrm e}^{15}-6 \,{\mathrm e}^{9}-{\mathrm e}^{6}\right) \textit{\_R} -3 \,{\mathrm e}^{12} {\mathrm e}^{6}-4 \,{\mathrm e}^{12} {\mathrm e}^{3}-{\mathrm e}^{12}\right) \ln \left(x -\textit{\_R} \right)}{2 \,{\mathrm e}^{9}+6 \textit{\_R} \,{\mathrm e}^{6}+6 \textit{\_R}^{2} {\mathrm e}^{3}+2 \textit{\_R}^{3}+{\mathrm e}^{6}+4 \textit{\_R} \,{\mathrm e}^{3}+3 \textit{\_R}^{2}+\textit{\_R}}\right)}{\ln \left(2\right)^{4}}$&$191$\\ \hline \end{longtable}"," ",0,"256*x^5/ln(2)^4/(exp(3)^2+2*x*exp(3)+x^2+x)","A"
3188,1,175,30,0.257000," ","int((((-x^3+3*x^2)*ln(5)-3*x+9)*ln((x^2*ln(5)+3)/ln(5))*ln(ln((x^2*ln(5)+3)/ln(5))/(x^2-6*x+9))*ln(ln(ln((x^2*ln(5)+3)/ln(5))/(x^2-6*x+9)))+((-6*x^3+18*x^2)*ln(5)-18*x+54)*ln((x^2*ln(5)+3)/ln(5))*ln(ln((x^2*ln(5)+3)/ln(5))/(x^2-6*x+9))+((-2*x^3-6*x^2)*ln(5)-6*x-18)*ln((x^2*ln(5)+3)/ln(5))+(2*x^3-18*x)*ln(5))/(((x^3-3*x^2)*ln(5)+3*x-9)*ln((x^2*ln(5)+3)/ln(5))*ln(ln((x^2*ln(5)+3)/ln(5))/(x^2-6*x+9))*ln(ln(ln((x^2*ln(5)+3)/ln(5))/(x^2-6*x+9)))^2+((-2*x^4+12*x^3-18*x^2)*ln(5)-6*x^2+36*x-54)*ln((x^2*ln(5)+3)/ln(5))*ln(ln((x^2*ln(5)+3)/ln(5))/(x^2-6*x+9))*ln(ln(ln((x^2*ln(5)+3)/ln(5))/(x^2-6*x+9)))+((x^5-9*x^4+27*x^3-27*x^2)*ln(5)+3*x^3-27*x^2+81*x-81)*ln((x^2*ln(5)+3)/ln(5))*ln(ln((x^2*ln(5)+3)/ln(5))/(x^2-6*x+9))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3+x}{x -\ln \left(\ln \left(\ln \left(\frac{x^{2} \ln \left(5\right)+3}{\ln \left(5\right)}\right)\right)-2 \ln \left(x -3\right)+\frac{i \pi  \,\mathrm{csgn}\left(i \left(x -3\right)^{2}\right) \left(-\mathrm{csgn}\left(i \left(x -3\right)^{2}\right)+\mathrm{csgn}\left(i \left(x -3\right)\right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \ln \left(\frac{x^{2} \ln \left(5\right)+3}{\ln \left(5\right)}\right)}{\left(x -3\right)^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i \ln \left(\frac{x^{2} \ln \left(5\right)+3}{\ln \left(5\right)}\right)}{\left(x -3\right)^{2}}\right)+\mathrm{csgn}\left(i \ln \left(\frac{x^{2} \ln \left(5\right)+3}{\ln \left(5\right)}\right)\right)\right) \left(-\mathrm{csgn}\left(\frac{i \ln \left(\frac{x^{2} \ln \left(5\right)+3}{\ln \left(5\right)}\right)}{\left(x -3\right)^{2}}\right)+\mathrm{csgn}\left(\frac{i}{\left(x -3\right)^{2}}\right)\right)}{2}\right)-3}$&$175$\\ \hline \end{longtable}"," ",0,"(3+x)/(x-ln(ln(ln((x^2*ln(5)+3)/ln(5)))-2*ln(x-3)+1/2*I*Pi*csgn(I*(x-3)^2)*(-csgn(I*(x-3)^2)+csgn(I*(x-3)))^2-1/2*I*Pi*csgn(I*ln((x^2*ln(5)+3)/ln(5))/(x-3)^2)*(-csgn(I*ln((x^2*ln(5)+3)/ln(5))/(x-3)^2)+csgn(I*ln((x^2*ln(5)+3)/ln(5))))*(-csgn(I*ln((x^2*ln(5)+3)/ln(5))/(x-3)^2)+csgn(I/(x-3)^2)))-3)","C"
3189,1,21,25,0.026000," ","int((-6*x^3-14*x^2-10*x-4)/(x^4+3*x^3+4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(2+x \right)-\ln \left(x \right)-2 \ln \left(x^{2}+x +2\right)$&$21$\\ norman&$-\ln \left(2+x \right)-\ln \left(x \right)-2 \ln \left(x^{2}+x +2\right)$&$21$\\ risch&$-2 \ln \left(x^{2}+x +2\right)-\ln \left(x^{2}+2 x \right)$&$21$\\ \hline \end{longtable}"," ",0,"-ln(2+x)-ln(x)-2*ln(x^2+x+2)","A"
3190,1,25,25,0.085000," ","int(((2*exp(x^2+9*x)-6)*ln(exp(x^2+9*x)-3)+(-exp(2*x)+1-2*x)*exp(x^2+9*x)+3*exp(2*x)-30)/((exp(x^2+9*x)-3)*ln(exp(x^2+9*x)-3)+(x*exp(2*x)+5)*exp(x^2+9*x)-3*x*exp(2*x)-15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\ln \left(x \,{\mathrm e}^{2 x}+\ln \left({\mathrm e}^{\left(x +9\right) x}-3\right)+5\right)$&$25$\\ norman&$2 x -\ln \left(x \,{\mathrm e}^{2 x}+\ln \left({\mathrm e}^{x^{2}+9 x}-3\right)+5\right)$&$27$\\ \hline \end{longtable}"," ",0,"2*x-ln(x*exp(2*x)+ln(exp((x+9)*x)-3)+5)","A"
3191,1,11,14,0.020000," ","int(4*ln(5*x^2*exp(2)^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(5 x^{2} {\mathrm e}^{4}\right)^{2}$&$11$\\ derivativedivides&$\ln \left(5 x^{2} {\mathrm e}^{4}\right)^{2}$&$13$\\ default&$\ln \left(5 x^{2} {\mathrm e}^{4}\right)^{2}$&$13$\\ norman&$\ln \left(5 x^{2} {\mathrm e}^{4}\right)^{2}$&$13$\\ \hline \end{longtable}"," ",0,"ln(5*x^2*exp(4))^2","A"
3192,1,20,20,0.220000," ","int(((-3*x^2+6*x)*exp(x)+132*x)*exp(x^2/(exp(x)+22))/((exp(5)-15)*exp(x)^2+(44*exp(5)-660)*exp(x)+484*exp(5)-7260),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{\frac{x^{2}}{{\mathrm e}^{x}+22}}}{{\mathrm e}^{5}-15}$&$20$\\ norman&$\frac{\frac{66 \,{\mathrm e}^{\frac{x^{2}}{{\mathrm e}^{x}+22}}}{{\mathrm e}^{5}-15}+\frac{3 \,{\mathrm e}^{x} {\mathrm e}^{\frac{x^{2}}{{\mathrm e}^{x}+22}}}{{\mathrm e}^{5}-15}}{{\mathrm e}^{x}+22}$&$49$\\ \hline \end{longtable}"," ",0,"3/(exp(5)-15)*exp(x^2/(exp(x)+22))","A"
3193,1,49,22,0.083000," ","int((2*exp(x)^5+(-8*x+14)*exp(x)^4+(12*x^2-40*x-14)*exp(x)^3+(-8*x^3+36*x^2+58*x+8)*exp(x)^2+(2*x^4-8*x^3-60*x^2-30*x)*exp(x)-2*x^4+14*x^3+24*x^2+8*x)/(exp(x)^3+(-3*x+12)*exp(x)^2+(3*x^2-24*x+48)*exp(x)-x^3+12*x^2-48*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+{\mathrm e}^{2 x}+10 x +\left(-2 x -8\right) {\mathrm e}^{x}+\frac{17 x^{2}-16 \,{\mathrm e}^{x} x +224 x -256 \,{\mathrm e}^{x}-768}{\left(x -{\mathrm e}^{x}-4\right)^{2}}$&$49$\\ norman&$\frac{x^{4}+{\mathrm e}^{4 x}+x^{2}+2 x^{3}+2 x \,{\mathrm e}^{2 x}-4 x \,{\mathrm e}^{3 x}-4 \,{\mathrm e}^{x} x^{2}-4 \,{\mathrm e}^{x} x^{3}+6 \,{\mathrm e}^{2 x} x^{2}}{\left(x -{\mathrm e}^{x}-4\right)^{2}}$&$64$\\ \hline \end{longtable}"," ",0,"x^2+exp(2*x)+10*x+(-2*x-8)*exp(x)+(17*x^2-16*exp(x)*x+224*x-256*exp(x)-768)/(x-exp(x)-4)^2","B"
3194,1,31,34,0.039000," ","int(1/9*(256*exp(4)^2+(96*x^3-128*x^2)*exp(4)-72*x^6+48*x^5)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{16 x}{3}-4 x^{2}-\frac{32 \,{\mathrm e}^{4}}{3 x}+\frac{64 \,{\mathrm e}^{4}}{9 x^{2}}-\frac{64 \,{\mathrm e}^{8}}{9 x^{4}}$&$31$\\ risch&$-4 x^{2}+\frac{16 x}{3}+\frac{-96 x^{3} {\mathrm e}^{4}+64 x^{2} {\mathrm e}^{4}-64 \,{\mathrm e}^{8}}{9 x^{4}}$&$34$\\ norman&$\frac{\frac{16 x^{5}}{3}-4 x^{6}-\frac{64 \,{\mathrm e}^{8}}{9}+\frac{64 x^{2} {\mathrm e}^{4}}{9}-\frac{32 x^{3} {\mathrm e}^{4}}{3}}{x^{4}}$&$36$\\ gosper&$-\frac{4 \left(9 x^{6}-12 x^{5}+24 x^{3} {\mathrm e}^{4}-16 x^{2} {\mathrm e}^{4}+16 \,{\mathrm e}^{8}\right)}{9 x^{4}}$&$37$\\ \hline \end{longtable}"," ",0,"16/3*x-4*x^2-32/3*exp(4)/x+64/9*exp(4)/x^2-64/9*exp(8)/x^4","A"
3195,1,18,20,0.154000," ","int((48*x^2-32*x-8)*ln(-2*x^3+2*x^2+x)/(50*x^3-50*x^2-25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 \ln \left(-2 x^{3}+2 x^{2}+x \right)^{2}}{25}$&$18$\\ risch&$\frac{4 \ln \left(-2 x^{3}+2 x^{2}+x \right)^{2}}{25}$&$18$\\ default&$\frac{8 \ln \left(x \right) \ln \left(-2 x^{3}+2 x^{2}+x \right)}{25}-\frac{4 \ln \left(x \right)^{2}}{25}-\frac{8 \ln \left(x \right) \ln \left(\frac{1+\sqrt{3}-2 x}{1+\sqrt{3}}\right)}{25}-\frac{8 \ln \left(x \right) \ln \left(\frac{-1+\sqrt{3}+2 x}{\sqrt{3}-1}\right)}{25}-\frac{8 \dilog \left(\frac{1+\sqrt{3}-2 x}{1+\sqrt{3}}\right)}{25}-\frac{8 \dilog \left(\frac{-1+\sqrt{3}+2 x}{\sqrt{3}-1}\right)}{25}+\frac{8 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha  =\RootOf \left(2 \textit{\_Z}^{2}-2 \textit{\_Z} -1\right)}{\sum}\left(\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(-2 x^{3}+2 x^{2}+x \right)-\frac{\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right)^{2}}{2}-\dilog \left(\frac{x}{\underline{\hspace{1.25 ex}}\alpha}\right)-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{x}{\underline{\hspace{1.25 ex}}\alpha}\right)-\dilog \left(\frac{x +\underline{\hspace{1.25 ex}}\alpha  -1}{2 \underline{\hspace{1.25 ex}}\alpha  -1}\right)-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{x +\underline{\hspace{1.25 ex}}\alpha  -1}{2 \underline{\hspace{1.25 ex}}\alpha  -1}\right)\right)\right)}{25}$&$210$\\ \hline \end{longtable}"," ",0,"4/25*ln(-2*x^3+2*x^2+x)^2","A"
3196,1,29,28,0.056000," ","int(1/4*((-8*x^4+32*x^3-17*x+4)*exp(1/4*(4*x^3-51*x-1)/x)+8*x^4)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{\left(x -4\right) {\mathrm e}^{\frac{4 x^{3}-51 x -1}{4 x}}}{x}$&$29$\\ norman&$\frac{x^{4}+4 \,{\mathrm e}^{\frac{4 x^{3}-51 x -1}{4 x}} x -{\mathrm e}^{\frac{4 x^{3}-51 x -1}{4 x}} x^{2}}{x^{2}}$&$49$\\ \hline \end{longtable}"," ",0,"x^2-(x-4)/x*exp(1/4*(4*x^3-51*x-1)/x)","A"
3197,1,270,14,0.183000," ","int(((20*exp(x)+80*exp(-3*x))*ln(exp(x)+4*exp(-3*x))+20*exp(x)*x-240*x*exp(-3*x))*exp(20*x*ln(exp(x)+4*exp(-3*x)))/(exp(x)+4*exp(-3*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{10 x \left(i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-2 i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{2}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{3}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-3 x} \left({\mathrm e}^{4 x}+4\right)\right)^{3}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-3 x} \left({\mathrm e}^{4 x}+4\right)\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-3 x}\right)+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-3 x} \left({\mathrm e}^{4 x}+4\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{4 x}+4\right)\right)-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-3 x} \left({\mathrm e}^{4 x}+4\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-3 x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{4 x}+4\right)\right)-6 \ln \left({\mathrm e}^{x}\right)+2 \ln \left({\mathrm e}^{4 x}+4\right)\right)}$&$270$\\ \hline \end{longtable}"," ",0,"exp(10*x*(I*Pi*csgn(I*exp(2*x))^3-2*I*Pi*csgn(I*exp(2*x))^2*csgn(I*exp(x))+I*Pi*csgn(I*exp(2*x))*csgn(I*exp(x))^2+I*Pi*csgn(I*exp(2*x))*csgn(I*exp(x))*csgn(I*exp(3*x))-I*Pi*csgn(I*exp(2*x))*csgn(I*exp(3*x))^2-I*Pi*csgn(I*exp(x))*csgn(I*exp(3*x))^2+I*Pi*csgn(I*exp(3*x))^3-I*Pi*csgn(I*exp(-3*x)*(exp(4*x)+4))^3+I*Pi*csgn(I*exp(-3*x)*(exp(4*x)+4))^2*csgn(I*exp(-3*x))+I*Pi*csgn(I*exp(-3*x)*(exp(4*x)+4))^2*csgn(I*(exp(4*x)+4))-I*Pi*csgn(I*exp(-3*x)*(exp(4*x)+4))*csgn(I*exp(-3*x))*csgn(I*(exp(4*x)+4))-6*ln(exp(x))+2*ln(exp(4*x)+4)))","C"
3198,0,0,22,0.022000," ","int((((2*x^6-4*x^5)*ln(x^2)+(-2*x^6+4*x^5)*ln(x-2)-10*x^6+22*x^5-8*x^4+32*x^2-192*x+256)*ln((x^4*ln(x^2)-x^4*ln(x-2)-5*x^4+16)/x^4)+(2*x^7-4*x^6)*ln(x^2)+(-2*x^7+4*x^6)*ln(x-2)-10*x^7+22*x^6-8*x^5+32*x^3-192*x^2+256*x)/((x^6-2*x^5)*ln(x^2)+(-x^6+2*x^5)*ln(x-2)-5*x^6+10*x^5+16*x^2-32*x),x)","\[\int \frac{\left(\left(2 x^{6}-4 x^{5}\right) \ln \left(x^{2}\right)+\left(-2 x^{6}+4 x^{5}\right) \ln \left(x -2\right)-10 x^{6}+22 x^{5}-8 x^{4}+32 x^{2}-192 x +256\right) \ln \left(\frac{x^{4} \ln \left(x^{2}\right)-x^{4} \ln \left(x -2\right)-5 x^{4}+16}{x^{4}}\right)+\left(2 x^{7}-4 x^{6}\right) \ln \left(x^{2}\right)+\left(-2 x^{7}+4 x^{6}\right) \ln \left(x -2\right)-10 x^{7}+22 x^{6}-8 x^{5}+32 x^{3}-192 x^{2}+256 x}{\left(x^{6}-2 x^{5}\right) \ln \left(x^{2}\right)+\left(-x^{6}+2 x^{5}\right) \ln \left(x -2\right)-5 x^{6}+10 x^{5}+16 x^{2}-32 x}\, dx\]"," ",0,"int((((2*x^6-4*x^5)*ln(x^2)+(-2*x^6+4*x^5)*ln(x-2)-10*x^6+22*x^5-8*x^4+32*x^2-192*x+256)*ln((x^4*ln(x^2)-x^4*ln(x-2)-5*x^4+16)/x^4)+(2*x^7-4*x^6)*ln(x^2)+(-2*x^7+4*x^6)*ln(x-2)-10*x^7+22*x^6-8*x^5+32*x^3-192*x^2+256*x)/((x^6-2*x^5)*ln(x^2)+(-x^6+2*x^5)*ln(x-2)-5*x^6+10*x^5+16*x^2-32*x),x)","F"
3199,1,36,27,0.569000," ","int(((-x-4)*ln(x^2+8*x+16)+8*ln(3)+8*I*Pi+2*x^2+8*x+8)/(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$8 \ln \left(3\right) \ln \left(4+x \right)+x^{2}+8 i \pi  \ln \left(4+x \right)-\ln \left(x^{2}+8 x +16\right) x +2 x$&$36$\\ risch&$8 \ln \left(3\right) \ln \left(4+x \right)+x^{2}+8 i \pi  \ln \left(4+x \right)-\ln \left(x^{2}+8 x +16\right) x +2 x$&$36$\\ norman&$x^{2}+\left(4 i \pi +4 \ln \left(3\right)\right) \ln \left(x^{2}+8 x +16\right)+2 x -\ln \left(x^{2}+8 x +16\right) x$&$39$\\ \hline \end{longtable}"," ",0,"8*ln(3)*ln(4+x)+x^2+8*I*Pi*ln(4+x)-ln(x^2+8*x+16)*x+2*x","A"
3200,1,16,20,0.572000," ","int((ln(3)+8*x^2+32*x+35)/(x^2+4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$8 x -\frac{3+\ln \left(3\right)}{2+x}$&$16$\\ gosper&$-\frac{-8 x^{2}+\ln \left(3\right)+35}{2+x}$&$17$\\ norman&$\frac{8 x^{2}-35-\ln \left(3\right)}{2+x}$&$18$\\ risch&$8 x -\frac{3}{2+x}-\frac{\ln \left(3\right)}{2+x}$&$21$\\ meijerg&$-\frac{29 x}{4 \left(1+\frac{x}{2}\right)}+\frac{x \ln \left(3\right)}{2 x +4}+\frac{8 x \left(\frac{3 x}{2}+6\right)}{3 \left(1+\frac{x}{2}\right)}$&$39$\\ \hline \end{longtable}"," ",0,"8*x-(3+ln(3))/(2+x)","A"
3201,1,40,24,0.621000," ","int(((2*x^3*exp(1)^2+(4*x^4+8*x^3)*exp(1)+2*x^5+8*x^4+8*x^3)*exp(2)*exp(x^2)+(2*x^2*exp(1)^2+(4*x^3+9*x^2)*exp(1)+2*x^4+8*x^3+10*x^2)*exp(2)-4*exp(1)^2+(-8*x-16)*exp(1)-4*x^2-16*x-16)/(x^2*exp(1)^2+(2*x^3+4*x^2)*exp(1)+x^4+4*x^3+4*x^2)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{{\mathrm e}^{-2} \left(\left(-{\mathrm e}^{3}-2 \,{\mathrm e}^{2}+4\right) x +4 \,{\mathrm e}+8\right)}{\left(2+x +{\mathrm e}\right) x}+{\mathrm e}^{x^{2}}$&$40$\\ norman&$\frac{x^{2} {\mathrm e}^{x^{2}}-\left(2 \left({\mathrm e}^{2}\right)^{2}+9 \,{\mathrm e} \,{\mathrm e}^{2}+10 \,{\mathrm e}^{2}-4\right) {\mathrm e}^{-2} x +x \left({\mathrm e}+2\right) {\mathrm e}^{x^{2}}+2 x^{3}+4 \left({\mathrm e}+2\right) {\mathrm e}^{-2}}{x \left(2+x +{\mathrm e}\right)}$&$73$\\ \hline \end{longtable}"," ",0,"2*x+exp(-2)*((-exp(3)-2*exp(2)+4)*x+4*exp(1)+8)/(2+x+exp(1))/x+exp(x^2)","A"
3202,1,366,23,0.264000," ","int(((4*x+4)*ln(1/9*(x^2+2*x+1)/x^4)+(-40*x^3-40*x^2+4*x+4)*exp(5*x^2)+8*x+16)/((x+1)*ln(1/9*(x^2+2*x+1)/x^4)^2+(2*x+2)*exp(5*x^2)*ln(1/9*(x^2+2*x+1)/x^4)+(x+1)*exp(5*x^2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{8 i x}{-\pi  \mathrm{csgn}\left(\frac{i \left(x +1\right)^{2}}{x^{4}}\right)^{3}+\pi  \mathrm{csgn}\left(i x^{4}\right)^{3}+\pi  \mathrm{csgn}\left(i x^{3}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +1\right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{4}}\right) \mathrm{csgn}\left(i \left(x +1\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)^{2}}{x^{4}}\right)+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)+8 i \ln \left(x \right)+4 i \ln \left(3\right)-2 i {\mathrm e}^{5 x^{2}}-4 i \ln \left(x +1\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{x^{4}}\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)^{2}}{x^{4}}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(x +1\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)^{2}}{x^{4}}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x +1\right)\right)^{2} \mathrm{csgn}\left(i \left(x +1\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(i \left(x +1\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}$&$366$\\ \hline \end{longtable}"," ",0,"-8*I*x/(-Pi*csgn(I/x^4*(x+1)^2)^3+Pi*csgn(I*x^4)^3+Pi*csgn(I*x^3)^3-Pi*csgn(I*(x+1)^2)^3-Pi*csgn(I/x^4)*csgn(I*(x+1)^2)*csgn(I/x^4*(x+1)^2)+Pi*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+8*I*ln(x)+4*I*ln(3)-2*I*exp(5*x^2)-4*I*ln(x+1)-Pi*csgn(I*x)*csgn(I*x^3)^2-Pi*csgn(I*x^2)*csgn(I*x^3)^2-Pi*csgn(I*x)*csgn(I*x^4)^2-Pi*csgn(I*x^3)*csgn(I*x^4)^2+Pi*csgn(I/x^4)*csgn(I/x^4*(x+1)^2)^2+Pi*csgn(I*(x+1)^2)*csgn(I/x^4*(x+1)^2)^2-Pi*csgn(I*(x+1))^2*csgn(I*(x+1)^2)+2*Pi*csgn(I*(x+1))*csgn(I*(x+1)^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)","C"
3203,1,14,17,0.045000," ","int(4/exp(1/18*exp(5)+1/18*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 \,{\mathrm e}^{-\frac{{\mathrm e}^{5}}{18}} {\mathrm e}^{-\frac{{\mathrm e}^{3}}{18}} x$&$14$\\ risch&$4 x \,{\mathrm e}^{-\frac{{\mathrm e}^{5}}{18}-\frac{{\mathrm e}^{3}}{18}}$&$14$\\ default&$4 x \,{\mathrm e}^{-\frac{{\mathrm e}^{5}}{18}-\frac{{\mathrm e}^{3}}{18}}$&$16$\\ \hline \end{longtable}"," ",0,"4/exp(exp(5))^(1/18)/exp(exp(3))^(1/18)*x","A"
3204,1,29,27,0.064000," ","int(1/4*((-4*x*ln(x)^2-8*x*ln(x)-8*x^2+4)*exp(exp(x))*exp(x*ln(x)^2+x^2+5)-exp(x)*x^4+2*x^3)/exp(exp(x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{-{\mathrm e}^{x}}}{4}-\frac{{\mathrm e}^{x \ln \left(x \right)^{2}+x^{2}+5}}{x}$&$29$\\ \hline \end{longtable}"," ",0,"1/4*x^2*exp(-exp(x))-exp(x*ln(x)^2+x^2+5)/x","A"
3205,1,158,19,0.190000," ","int(((4*x*exp(x)*ln(-x^4)+(-16*x^2+16*x)*exp(x))*exp(exp(x)-4)*ln(ln(-x^4)-4*x+4)+(-16*x+16)*exp(exp(x)-4))/(x*ln(-x^4)-4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{{\mathrm e}^{x}-4} \ln \left(i \pi +4 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x^{3}\right)\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}+i \pi  \mathrm{csgn}\left(i x^{4}\right)^{2} \left(\mathrm{csgn}\left(i x^{4}\right)-1\right)-4 x +4\right)$&$158$\\ \hline \end{longtable}"," ",0,"4*exp(exp(x)-4)*ln(I*Pi+4*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^3)*(-csgn(I*x^3)+csgn(I*x^2))*(-csgn(I*x^3)+csgn(I*x))-1/2*I*Pi*csgn(I*x^4)*(-csgn(I*x^4)+csgn(I*x^3))*(-csgn(I*x^4)+csgn(I*x))+I*Pi*csgn(I*x^4)^2*(csgn(I*x^4)-1)-4*x+4)","C"
3206,1,7,6,0.011000," ","int(3*exp(3*x-18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{3 x -18}$&$7$\\ derivativedivides&${\mathrm e}^{3 x -18}$&$7$\\ default&${\mathrm e}^{3 x -18}$&$7$\\ norman&${\mathrm e}^{3 x -18}$&$7$\\ risch&${\mathrm e}^{3 x -18}$&$7$\\ meijerg&$-{\mathrm e}^{-18} \left(1-{\mathrm e}^{3 x}\right)$&$13$\\ \hline \end{longtable}"," ",0,"exp(3*x-18)","A"
3207,1,36,23,0.520000," ","int((3*x+3)*exp(1)/(x^2*exp(1)^2*exp(3)*ln(8*exp(1/x)/x)^2+10*x^2*exp(1)*exp(3)*ln(8*exp(1/x)/x)+25*x^2*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{3 \,{\mathrm e}^{-3} {\mathrm e} \ln \left(\frac{8 \,{\mathrm e}^{\frac{1}{x}}}{x}\right)}{5 \left(5+\ln \left(\frac{8 \,{\mathrm e}^{\frac{1}{x}}}{x}\right) {\mathrm e}\right)}$&$36$\\ default&$-\frac{3 \,{\mathrm e}^{-3} x}{x \,{\mathrm e} \ln \left(x \right)-{\mathrm e} x \left(\ln \left(\frac{8 \,{\mathrm e}^{\frac{1}{x}}}{x}\right)-\frac{1}{x}+\ln \left(x \right)\right)-{\mathrm e}-5 x}$&$47$\\ risch&$\frac{6 i {\mathrm e}^{-3}}{\pi  \,{\mathrm e} \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{1}{x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{1}{x}}}{x}\right)-\pi  \,{\mathrm e} \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{1}{x}}}{x}\right)^{2}-\pi  \,{\mathrm e} \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{1}{x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{1}{x}}}{x}\right)^{2}+\pi  \,{\mathrm e} \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{1}{x}}}{x}\right)^{3}+6 i {\mathrm e} \ln \left(2\right)-2 i {\mathrm e} \ln \left(x \right)+2 i {\mathrm e} \ln \left({\mathrm e}^{\frac{1}{x}}\right)+10 i}$&$133$\\ \hline \end{longtable}"," ",0,"-3/5/exp(3)*exp(1)*ln(8*exp(1/x)/x)/(5+ln(8*exp(1/x)/x)*exp(1))","A"
3208,1,26,19,0.065000," ","int(1/12*((-12*exp(4)-15*x^2)*exp(1/4*(-4*exp(4)+5*x^2-8*x)/x)+4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{3}-{\mathrm e}^{-\frac{-5 x^{2}+4 \,{\mathrm e}^{4}+8 x}{4 x}}$&$26$\\ norman&$\frac{\frac{x^{2}}{3}-x \,{\mathrm e}^{\frac{-4 \,{\mathrm e}^{4}+5 x^{2}-8 x}{4 x}}}{x}$&$33$\\ \hline \end{longtable}"," ",0,"1/3*x-exp(-1/4*(-5*x^2+4*exp(4)+8*x)/x)","A"
3209,1,17,20,0.044000," ","int((-4*x^3+17*x^2+10*x)*ln(3)^2*exp(x)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{4 x} \ln \left(3\right)^{2} x^{2} \left(x -5\right)$&$17$\\ risch&$\ln \left(3\right)^{2} \left(-x^{3}+5 x^{2}\right) {\mathrm e}^{4 x}$&$21$\\ default&$\ln \left(3\right)^{2} \left(5 x^{2} {\mathrm e}^{4 x}-x^{3} {\mathrm e}^{4 x}\right)$&$25$\\ norman&$5 x^{2} \ln \left(3\right)^{2} {\mathrm e}^{4 x}-x^{3} \ln \left(3\right)^{2} {\mathrm e}^{4 x}$&$28$\\ meijerg&$-\frac{\ln \left(3\right)^{2} \left(6-\frac{\left(-256 x^{3}+192 x^{2}-96 x +24\right) {\mathrm e}^{4 x}}{4}\right)}{64}-\frac{17 \ln \left(3\right)^{2} \left(2-\frac{\left(48 x^{2}-24 x +6\right) {\mathrm e}^{4 x}}{3}\right)}{64}+\frac{5 \ln \left(3\right)^{2} \left(1-\frac{\left(-8 x +2\right) {\mathrm e}^{4 x}}{2}\right)}{8}$&$74$\\ \hline \end{longtable}"," ",0,"-exp(x)^4*ln(3)^2*x^2*(x-5)","A"
3210,1,18,15,0.036000," ","int((exp(19/5)-27)*exp((x*exp(19/5)-27*x+3)/(exp(19/5)-22))/(exp(19/5)-22),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{x \,{\mathrm e}^{\frac{19}{5}}-27 x +3}{{\mathrm e}^{\frac{19}{5}}-22}}$&$18$\\ derivativedivides&${\mathrm e}^{\frac{x \,{\mathrm e}^{\frac{19}{5}}-27 x +3}{{\mathrm e}^{\frac{19}{5}}-22}}$&$18$\\ default&${\mathrm e}^{\frac{x \,{\mathrm e}^{\frac{19}{5}}-27 x +3}{{\mathrm e}^{\frac{19}{5}}-22}}$&$18$\\ norman&${\mathrm e}^{\frac{x \,{\mathrm e}^{\frac{19}{5}}-27 x +3}{{\mathrm e}^{\frac{19}{5}}-22}}$&$18$\\ risch&${\mathrm e}^{\frac{x \,{\mathrm e}^{\frac{19}{5}}-27 x +3}{{\mathrm e}^{\frac{19}{5}}-22}}$&$18$\\ meijerg&$-\frac{{\mathrm e}^{\frac{3}{{\mathrm e}^{\frac{19}{5}}-22}+\frac{19}{5}} \left(1-{\mathrm e}^{\frac{x \left({\mathrm e}^{\frac{19}{5}}-27\right)}{{\mathrm e}^{\frac{19}{5}}-22}}\right)}{{\mathrm e}^{\frac{19}{5}}-27}+\frac{27 \,{\mathrm e}^{\frac{3}{{\mathrm e}^{\frac{19}{5}}-22}} \left(1-{\mathrm e}^{\frac{x \left({\mathrm e}^{\frac{19}{5}}-27\right)}{{\mathrm e}^{\frac{19}{5}}-22}}\right)}{{\mathrm e}^{\frac{19}{5}}-27}$&$72$\\ \hline \end{longtable}"," ",0,"exp((x*exp(19/5)-27*x+3)/(exp(19/5)-22))","A"
3211,1,20,23,0.250000," ","int(1/4*(((2+x)*exp(ln(x^2)+x)-1)*exp(exp(ln(x^2)+x))+4*ln(ln(5))*x^2)/x^2/ln(ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{{\mathrm e}^{{\mathrm e}^{x} x^{2}}}{4 \ln \left(\ln \left(5\right)\right) x}$&$20$\\ norman&$\frac{x^{2}+\frac{{\mathrm e}^{{\mathrm e}^{\ln \left(x^{2}\right)+x}}}{4 \ln \left(\ln \left(5\right)\right)}}{x}$&$24$\\ default&$\frac{4 \ln \left(\ln \left(5\right)\right) x^{2}+{\mathrm e}^{{\mathrm e}^{\ln \left(x^{2}\right)+x}}}{4 \ln \left(\ln \left(5\right)\right) x}$&$28$\\ \hline \end{longtable}"," ",0,"x+1/4/ln(ln(5))*exp(exp(x)*x^2)/x","A"
3212,1,14,19,0.020000," ","int(1/32*(x^4*exp(1/256*x^4)+64)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \,{\mathrm e}^{\frac{x^{4}}{256}}+2 \ln \left(x \right)$&$14$\\ norman&$2 \,{\mathrm e}^{\frac{x^{4}}{256}}+2 \ln \left(x \right)$&$14$\\ risch&$2 \,{\mathrm e}^{\frac{x^{4}}{256}}+2 \ln \left(x \right)$&$14$\\ \hline \end{longtable}"," ",0,"2*exp(1/256*x^4)+2*ln(x)","A"
3213,1,14,14,0.011000," ","int(2*exp(x)-192*x+12,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-96 x^{2}+12 x +2 \,{\mathrm e}^{x}$&$14$\\ norman&$-96 x^{2}+12 x +2 \,{\mathrm e}^{x}$&$14$\\ risch&$-96 x^{2}+12 x +2 \,{\mathrm e}^{x}$&$14$\\ \hline \end{longtable}"," ",0,"-96*x^2+12*x+2*exp(x)","A"
3214,1,28,30,0.086000," ","int((5*x*ln(x)+(-24*x^2*exp(2)+8*x^3+x^2+x)*exp(36*exp(2)^2-24*exp(2)*x+4*x^2)+5*x*exp(3)+5)/(5*x*ln(x)+x^2*exp(36*exp(2)^2-24*exp(2)*x+4*x^2)+5*x*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left({\mathrm e}^{3}+\frac{{\mathrm e}^{36 \,{\mathrm e}^{4}-24 \,{\mathrm e}^{2} x +4 x^{2}} x}{5}+\ln \left(x \right)\right)$&$28$\\ norman&$x +\ln \left({\mathrm e}^{36 \,{\mathrm e}^{4}-24 \,{\mathrm e}^{2} x +4 x^{2}} x +5 \ln \left(x \right)+5 \,{\mathrm e}^{3}\right)$&$33$\\ \hline \end{longtable}"," ",0,"x+ln(exp(3)+1/5*exp(36*exp(4)-24*exp(2)*x+4*x^2)*x+ln(x))","A"
3215,1,18,17,0.050000," ","int(((-10*x^2+10*x)*ln(x)+5*x^3+5*x^2+5*x+5)/(x^4+3*x^3+3*x^2+x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-5 x^{2}-5}{\ln \left(x \right) \left(x +1\right)^{2}}$&$18$\\ risch&$-\frac{5 \left(x^{2}+1\right)}{\left(x^{2}+2 x +1\right) \ln \left(x \right)}$&$22$\\ \hline \end{longtable}"," ",0,"1/ln(x)/(x+1)^2*(-5*x^2-5)","A"
3216,1,18,21,0.033000," ","int((2*x^2-4*x)*exp(5)/(180*x^4+180*x^3-135*x^2-90*x+45),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{\left(x -1\right) {\mathrm e}^{5}}{45 \left(2 x^{2}+x -1\right)}$&$18$\\ norman&$\frac{2 \,{\mathrm e}^{5} x^{2}}{45 \left(2 x^{2}+x -1\right)}$&$18$\\ risch&$\frac{{\mathrm e}^{5} \left(-\frac{x}{90}+\frac{1}{90}\right)}{x^{2}+\frac{1}{2} x -\frac{1}{2}}$&$19$\\ default&$\frac{2 \,{\mathrm e}^{5} \left(\frac{1}{12 x -6}-\frac{1}{3 \left(x +1\right)}\right)}{45}$&$22$\\ \hline \end{longtable}"," ",0,"-1/45*(x-1)*exp(5)/(2*x^2+x-1)","A"
3217,1,31,33,5.137000," ","int((2*x^2*ln(2)-2*x*exp(2)^2+27*x^2*exp(2)-2*x^3)*exp((2*ln(2)+23*x)/(exp(2)-x))/((exp(2)^2-2*exp(2)*x+x^2)*exp((2*ln(2)+23*x)/(exp(2)-x))^2+(-2*x^2*exp(2)^2+4*x^3*exp(2)-2*x^4)*exp((2*ln(2)+23*x)/(exp(2)-x))+x^4*exp(2)^2-2*exp(2)*x^5+x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{x^{2}-{\mathrm e}^{\frac{2 \ln \left(2\right)+23 x}{{\mathrm e}^{2}-x}}}$&$31$\\ norman&$\frac{-x \,{\mathrm e}^{\frac{2 \ln \left(2\right)+23 x}{{\mathrm e}^{2}-x}}+{\mathrm e}^{2} {\mathrm e}^{\frac{2 \ln \left(2\right)+23 x}{{\mathrm e}^{2}-x}}}{\left(x^{2}-{\mathrm e}^{\frac{2 \ln \left(2\right)+23 x}{{\mathrm e}^{2}-x}}\right) \left({\mathrm e}^{2}-x \right)}$&$79$\\ \hline \end{longtable}"," ",0,"x^2/(x^2-exp((2*ln(2)+23*x)/(exp(2)-x)))","A"
3218,0,0,23,0.189000," ","int(((ln(1/x)*ln(x)*ln(exp(2)*ln(1/x))^2-4*ln(1/x)*ln(x))*ln(-x*ln(x)*ln(exp(2)*ln(1/x))^2+4*x*ln(x))+(-ln(1/x)*ln(x)-ln(1/x))*ln(exp(2)*ln(1/x))^2+2*ln(x)*ln(exp(2)*ln(1/x))+4*ln(1/x)*ln(x)+4*ln(1/x))/(ln(1/x)*ln(x)*ln(exp(2)*ln(1/x))^2-4*ln(1/x)*ln(x))/ln(-x*ln(x)*ln(exp(2)*ln(1/x))^2+4*x*ln(x))^2,x)","\[\int \frac{\left(\ln \left(\frac{1}{x}\right) \ln \left(x \right) \ln \left({\mathrm e}^{2} \ln \left(\frac{1}{x}\right)\right)^{2}-4 \ln \left(\frac{1}{x}\right) \ln \left(x \right)\right) \ln \left(-x \ln \left(x \right) \ln \left({\mathrm e}^{2} \ln \left(\frac{1}{x}\right)\right)^{2}+4 x \ln \left(x \right)\right)+\left(-\ln \left(\frac{1}{x}\right) \ln \left(x \right)-\ln \left(\frac{1}{x}\right)\right) \ln \left({\mathrm e}^{2} \ln \left(\frac{1}{x}\right)\right)^{2}+2 \ln \left(x \right) \ln \left({\mathrm e}^{2} \ln \left(\frac{1}{x}\right)\right)+4 \ln \left(\frac{1}{x}\right) \ln \left(x \right)+4 \ln \left(\frac{1}{x}\right)}{\left(\ln \left(\frac{1}{x}\right) \ln \left(x \right) \ln \left({\mathrm e}^{2} \ln \left(\frac{1}{x}\right)\right)^{2}-4 \ln \left(\frac{1}{x}\right) \ln \left(x \right)\right) \ln \left(-x \ln \left(x \right) \ln \left({\mathrm e}^{2} \ln \left(\frac{1}{x}\right)\right)^{2}+4 x \ln \left(x \right)\right)^{2}}\, dx\]"," ",0,"int(((ln(1/x)*ln(x)*ln(exp(2)*ln(1/x))^2-4*ln(1/x)*ln(x))*ln(-x*ln(x)*ln(exp(2)*ln(1/x))^2+4*x*ln(x))+(-ln(1/x)*ln(x)-ln(1/x))*ln(exp(2)*ln(1/x))^2+2*ln(x)*ln(exp(2)*ln(1/x))+4*ln(1/x)*ln(x)+4*ln(1/x))/(ln(1/x)*ln(x)*ln(exp(2)*ln(1/x))^2-4*ln(1/x)*ln(x))/ln(-x*ln(x)*ln(exp(2)*ln(1/x))^2+4*x*ln(x))^2,x)","F"
3219,1,28,21,0.060000," ","int(((12*x+6)*exp(x)^2+(12*x+12)*exp(2)*exp(x)+7*exp(2)^2)/(6*x*exp(x)^2+12*x*exp(2)*exp(x)+(7*x+22)*exp(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left({\mathrm e}^{2 x}+2 \,{\mathrm e}^{2+x}+\frac{\left(7 x +22\right) {\mathrm e}^{4}}{6 x}\right)$&$28$\\ norman&$\ln \left(7 x \,{\mathrm e}^{4}+12 x \,{\mathrm e}^{2} {\mathrm e}^{x}+6 x \,{\mathrm e}^{2 x}+22 \,{\mathrm e}^{4}\right)$&$30$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(exp(2*x)+2*exp(2+x)+1/6*(7*x+22)*exp(4)/x)","A"
3220,1,38,28,0.099000," ","int((20*ln(5)*ln(x)-5*x^2*ln(5)*exp(x)+(-5*x^2-24)*ln(5))/(20*x*ln(5)*ln(x)+5*x^2*ln(5)*exp(x)+(5*x^3+15*x^2-4*x)*ln(5)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)-\ln \left(5 x \,{\mathrm e}^{x} \ln \left(5\right)+5 x^{2} \ln \left(5\right)+20 \ln \left(5\right) \ln \left(x \right)+15 x \ln \left(5\right)-4 \ln \left(5\right)+x \right)$&$38$\\ risch&$\ln \left(x \right)-\ln \left(\ln \left(x \right)+\frac{5 x^{2} \ln \left(5\right)+5 x \,{\mathrm e}^{x} \ln \left(5\right)+15 x \ln \left(5\right)-4 \ln \left(5\right)+x}{20 \ln \left(5\right)}\right)$&$41$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(5*x*exp(x)*ln(5)+5*x^2*ln(5)+20*ln(5)*ln(x)+15*x*ln(5)-4*ln(5)+x)","A"
3221,1,160,29,0.397000," ","int((((-exp(x)*x-x^2-2)*exp(2+x)-exp(x)*x-x^2-2)*ln((4*exp(x)*x+4*x^2+8)/x)^3+(exp(x)*x+x^2+2)*ln((4*exp(x)*x+4*x^2+8)/x)-2*exp(x)*x^2-2*x^2+4)/(exp(x)*x+x^2+2)/ln((4*exp(x)*x+4*x^2+8)/x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{2+x}-x -\frac{4 x}{\left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x} x +x^{2}+2\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x +x^{2}+2\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x +x^{2}+2\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x} x +x^{2}+2\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x +x^{2}+2\right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x +x^{2}+2\right)}{x}\right)^{3}+4 i \ln \left(2\right)-2 i \ln \left(x \right)+2 i \ln \left({\mathrm e}^{x} x +x^{2}+2\right)\right)^{2}}$&$160$\\ \hline \end{longtable}"," ",0,"-exp(2+x)-x-4*x/(Pi*csgn(I/x)*csgn(I*(exp(x)*x+x^2+2))*csgn(I/x*(exp(x)*x+x^2+2))-Pi*csgn(I/x)*csgn(I/x*(exp(x)*x+x^2+2))^2-Pi*csgn(I*(exp(x)*x+x^2+2))*csgn(I/x*(exp(x)*x+x^2+2))^2+Pi*csgn(I/x*(exp(x)*x+x^2+2))^3+4*I*ln(2)-2*I*ln(x)+2*I*ln(exp(x)*x+x^2+2))^2","C"
3222,1,22,26,0.173000," ","int(((x^3-1)*ln(2*x^3-2)^2+(-2*x^4-10*x^3+2*x+10)*ln(2*x^3-2)+(5*x^3-15*x^2-5)*exp(2)+x^5+10*x^4+25*x^3-x^2-10*x-25)/((x^3-1)*ln(2*x^3-2)^2+(-2*x^4-10*x^3+2*x+10)*ln(2*x^3-2)+x^5+10*x^4+25*x^3-x^2-10*x-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{5 \,{\mathrm e}^{2}}{5+x -\ln \left(2 x^{3}-2\right)}$&$22$\\ norman&$\frac{x^{2}-25+5 \ln \left(2 x^{3}-2\right)-\ln \left(2 x^{3}-2\right) x -5 \,{\mathrm e}^{2}}{5+x -\ln \left(2 x^{3}-2\right)}$&$47$\\ \hline \end{longtable}"," ",0,"x-5*exp(2)/(5+x-ln(2*x^3-2))","A"
3223,1,11,15,0.057000," ","int((x+1)/(x*exp(10)*ln(x)^2+2*x^2*exp(10)*ln(x)+x^3*exp(10)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{-10}}{x +\ln \left(x \right)}$&$11$\\ norman&$-\frac{{\mathrm e}^{-10}}{x +\ln \left(x \right)}$&$13$\\ \hline \end{longtable}"," ",0,"-exp(-10)/(x+ln(x))","A"
3224,1,68,26,50.004000," ","int((-144*x*exp(4)^2+(288*exp(2)*x+24*x^3-72*x^2-528*x)*exp(4)-144*x*exp(2)^2+(-24*x^3+72*x^2+528*x)*exp(2)+4*x^4+36*x^3-132*x^2-484*x)*exp((36*x^2*exp(4)^2+(-72*x^2*exp(2)+12*x^3+132*x^2)*exp(4)+36*x^2*exp(2)^2+(-12*x^3-132*x^2)*exp(2)+x^4+22*x^3+121*x^2)/((x^2-2*x+1)*exp(4)^2+((-2*x^2+4*x-2)*exp(2)+4*x^2-8*x+4)*exp(4)+(x^2-2*x+1)*exp(2)^2+(-4*x^2+8*x-4)*exp(2)+4*x^2-8*x+4))^2/((x^3-3*x^2+3*x-1)*exp(4)^2+((-2*x^3+6*x^2-6*x+2)*exp(2)+4*x^3-12*x^2+12*x-4)*exp(4)+(x^3-3*x^2+3*x-1)*exp(2)^2+(-4*x^3+12*x^2-12*x+4)*exp(2)+4*x^3-12*x^2+12*x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 x^{2} \left(72 \,{\mathrm e}^{6}+12 \,{\mathrm e}^{2} x -12 x \,{\mathrm e}^{4}-x^{2}+132 \,{\mathrm e}^{2}-168 \,{\mathrm e}^{4}-36 \,{\mathrm e}^{8}-22 x -121\right)}{\left(x -1\right)^{2} \left(4 \,{\mathrm e}^{2}-5 \,{\mathrm e}^{4}+2 \,{\mathrm e}^{6}-{\mathrm e}^{8}-4\right)}}$&$68$\\ gosper&${\mathrm e}^{\frac{2 x^{2} \left(168 \,{\mathrm e}^{4}-72 \,{\mathrm e}^{6}-12 \,{\mathrm e}^{2} x +36 \,{\mathrm e}^{8}+12 x \,{\mathrm e}^{4}+x^{2}-132 \,{\mathrm e}^{2}+22 x +121\right)}{5 x^{2} {\mathrm e}^{4}-2 x^{2} {\mathrm e}^{6}+x^{2} {\mathrm e}^{8}-10 x \,{\mathrm e}^{4}+4 x \,{\mathrm e}^{6}-4 x^{2} {\mathrm e}^{2}-2 x \,{\mathrm e}^{8}+5 \,{\mathrm e}^{4}-2 \,{\mathrm e}^{6}+8 \,{\mathrm e}^{2} x +{\mathrm e}^{8}+4 x^{2}-4 \,{\mathrm e}^{2}-8 x +4}}$&$156$\\ norman&$\frac{\left({\mathrm e}^{2}-2-{\mathrm e}^{4}\right) {\mathrm e}^{\frac{72 x^{2} {\mathrm e}^{8}+2 \left(-72 x^{2} {\mathrm e}^{2}+12 x^{3}+132 x^{2}\right) {\mathrm e}^{4}+72 x^{2} {\mathrm e}^{4}+2 \left(-12 x^{3}-132 x^{2}\right) {\mathrm e}^{2}+2 x^{4}+44 x^{3}+242 x^{2}}{\left(x^{2}-2 x +1\right) {\mathrm e}^{8}+\left(\left(-2 x^{2}+4 x -2\right) {\mathrm e}^{2}+4 x^{2}-8 x +4\right) {\mathrm e}^{4}+\left(x^{2}-2 x +1\right) {\mathrm e}^{4}+\left(-4 x^{2}+8 x -4\right) {\mathrm e}^{2}+4 x^{2}-8 x +4}}+\left(-2 \,{\mathrm e}^{2}+2 \,{\mathrm e}^{4}+4\right) x \,{\mathrm e}^{\frac{72 x^{2} {\mathrm e}^{8}+2 \left(-72 x^{2} {\mathrm e}^{2}+12 x^{3}+132 x^{2}\right) {\mathrm e}^{4}+72 x^{2} {\mathrm e}^{4}+2 \left(-12 x^{3}-132 x^{2}\right) {\mathrm e}^{2}+2 x^{4}+44 x^{3}+242 x^{2}}{\left(x^{2}-2 x +1\right) {\mathrm e}^{8}+\left(\left(-2 x^{2}+4 x -2\right) {\mathrm e}^{2}+4 x^{2}-8 x +4\right) {\mathrm e}^{4}+\left(x^{2}-2 x +1\right) {\mathrm e}^{4}+\left(-4 x^{2}+8 x -4\right) {\mathrm e}^{2}+4 x^{2}-8 x +4}}+\left({\mathrm e}^{2}-2-{\mathrm e}^{4}\right) x^{2} {\mathrm e}^{\frac{72 x^{2} {\mathrm e}^{8}+2 \left(-72 x^{2} {\mathrm e}^{2}+12 x^{3}+132 x^{2}\right) {\mathrm e}^{4}+72 x^{2} {\mathrm e}^{4}+2 \left(-12 x^{3}-132 x^{2}\right) {\mathrm e}^{2}+2 x^{4}+44 x^{3}+242 x^{2}}{\left(x^{2}-2 x +1\right) {\mathrm e}^{8}+\left(\left(-2 x^{2}+4 x -2\right) {\mathrm e}^{2}+4 x^{2}-8 x +4\right) {\mathrm e}^{4}+\left(x^{2}-2 x +1\right) {\mathrm e}^{4}+\left(-4 x^{2}+8 x -4\right) {\mathrm e}^{2}+4 x^{2}-8 x +4}}}{\left(x -1\right)^{2} \left({\mathrm e}^{2}-2-{\mathrm e}^{4}\right)}$&$495$\\ \hline \end{longtable}"," ",0,"exp(2*x^2*(72*exp(6)+12*exp(2)*x-12*x*exp(4)-x^2+132*exp(2)-168*exp(4)-36*exp(8)-22*x-121)/(x-1)^2/(4*exp(2)-5*exp(4)+2*exp(6)-exp(8)-4))","B"
3225,1,34,28,0.181000," ","int(((-20*x^2-30)*exp(-x^2+6)-8*x^2-6)/(25*x^4*exp(-x^2+6)^2+10*x^4*exp(-x^2+6)+x^4)/exp(x^2+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \,{\mathrm e}^{-14} {\mathrm e}^{-2 x^{2}+12}}{x^{3} \left(1+5 \,{\mathrm e}^{-x^{2}+6}\right)}$&$34$\\ risch&$-\frac{2 \,{\mathrm e}^{-14}}{25 x^{3}}+\frac{2 \,{\mathrm e}^{-x^{2}-8}}{5 x^{3}}+\frac{2 \,{\mathrm e}^{-14}}{25 x^{3} \left(1+5 \,{\mathrm e}^{-x^{2}+6}\right)}$&$43$\\ \hline \end{longtable}"," ",0,"2/exp(7)^2*exp(-x^2+6)^2/x^3/(1+5*exp(-x^2+6))","A"
3226,1,35,23,0.020000," ","int(((-8*ln(2)^2+4)*ln(ln(5)+4)+88*ln(2)^2-20)/(4*ln(2)^2-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\left(\left(-8 \ln \left(2\right)^{2}+4\right) \ln \left(\ln \left(5\right)+4\right)+88 \ln \left(2\right)^{2}-20\right) x}{4 \ln \left(2\right)^{2}-2}$&$35$\\ norman&$-\frac{2 \left(2 \ln \left(2\right)^{2} \ln \left(\ln \left(5\right)+4\right)-22 \ln \left(2\right)^{2}-\ln \left(\ln \left(5\right)+4\right)+5\right) x}{2 \ln \left(2\right)^{2}-1}$&$40$\\ risch&$-\frac{8 x \ln \left(2\right)^{2} \ln \left(\ln \left(5\right)+4\right)}{4 \ln \left(2\right)^{2}-2}+\frac{88 x \ln \left(2\right)^{2}}{4 \ln \left(2\right)^{2}-2}+\frac{4 x \ln \left(\ln \left(5\right)+4\right)}{4 \ln \left(2\right)^{2}-2}-\frac{20 x}{4 \ln \left(2\right)^{2}-2}$&$72$\\ \hline \end{longtable}"," ",0,"((-8*ln(2)^2+4)*ln(ln(5)+4)+88*ln(2)^2-20)/(4*ln(2)^2-2)*x","A"
3227,1,49,37,1.303000," ","int(((-64*x^3+384*x^2-1536*x+2048)*exp(ln(2)^2-10*ln(2)+25)-2*x^7+16*x^6-128*x^5-128*x^4+1536*x^3-8192*x^2+32768)/((x^6-12*x^5+48*x^4-64*x^3)*exp(ln(2)^2-10*ln(2)+25)^2+(2*x^8-8*x^7-64*x^6+256*x^5+512*x^4-2048*x^3)*exp(ln(2)^2-10*ln(2)+25)+x^10+4*x^9-48*x^8-192*x^7+768*x^6+3072*x^5-4096*x^4-16384*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1024 x^{4}-8192 x^{3}+49152 x^{2}-131072 x +262144}{x^{2} \left(x -4\right)^{2} \left(1024 x^{2}+{\mathrm e}^{25+\ln \left(2\right)^{2}}+8192 x +16384\right)}$&$49$\\ gosper&$\frac{\left(x^{2}-4 x +16\right)^{2}}{x^{2} \left(x^{4}+{\mathrm e}^{\ln \left(2\right)^{2}-10 \ln \left(2\right)+25} x^{2}-8 \,{\mathrm e}^{\ln \left(2\right)^{2}-10 \ln \left(2\right)+25} x -32 x^{2}+16 \,{\mathrm e}^{\ln \left(2\right)^{2}-10 \ln \left(2\right)+25}+256\right)}$&$69$\\ risch&$\frac{1024 x^{4}-8192 x^{3}+49152 x^{2}-131072 x +262144}{x^{2} \left({\mathrm e}^{25+\ln \left(2\right)^{2}} x^{2}+1024 x^{4}-8 \,{\mathrm e}^{25+\ln \left(2\right)^{2}} x +16 \,{\mathrm e}^{25+\ln \left(2\right)^{2}}-32768 x^{2}+262144\right)}$&$69$\\ \hline \end{longtable}"," ",0,"(1024*x^4-8192*x^3+49152*x^2-131072*x+262144)/x^2/(x-4)^2/(1024*x^2+exp(25+ln(2)^2)+8192*x+16384)","A"
3228,1,23,20,0.359000," ","int((((-6*exp(5)-6*x)*exp(x)^2+(-6*exp(5)-6*x)*exp(x))*ln(exp(5)+x)^3+((-18*x*exp(5)-18*x^2)*exp(x)^2+(-18*x*exp(5)-18*x^2)*exp(x))*ln(exp(5)+x)^2+((-18*x^2*exp(5)-18*x^3)*exp(x)^2+(-18*x^2*exp(5)-18*x^3)*exp(x)+exp(5)+x)*ln(exp(5)+x)+(-6*x^3*exp(5)-6*x^4)*exp(x)^2+(-6*x^3*exp(5)-6*x^4)*exp(x)-x*exp(5)-x^2-2*x)/((exp(5)+x)*ln(exp(5)+x)^3+(3*x*exp(5)+3*x^2)*ln(exp(5)+x)^2+(3*x^2*exp(5)+3*x^3)*ln(exp(5)+x)+x^3*exp(5)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 \,{\mathrm e}^{2 x}-6 \,{\mathrm e}^{x}+\frac{x}{\left(\ln \left({\mathrm e}^{5}+x \right)+x \right)^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"-3*exp(2*x)-6*exp(x)+x/(ln(exp(5)+x)+x)^2","A"
3229,1,25,22,0.037000," ","int((exp(x^2+x+4)*ln(x)^2+(2*exp(x^2+x+4)-10*x^3-5*x^2+10*x)*ln(x)+exp(x^2+x+4)-10*x^3-5*x^2+5*x)/(exp(x^2+x+4)*ln(x)^2+2*exp(x^2+x+4)*ln(x)+exp(x^2+x+4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{5 x^{2} {\mathrm e}^{-x^{2}-x -4}}{\ln \left(x \right)+1}$&$25$\\ \hline \end{longtable}"," ",0,"x+5*x^2*exp(-x^2-x-4)/(ln(x)+1)","A"
3230,1,37,34,0.019000," ","int(((192*x^4-1536*x^3+3264*x^2-3600)*ln(x)+64*x^4-768*x^3+3264*x^2-5760*x+3590)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$64 x^{3} \ln \left(x \right)-768 x^{2} \ln \left(x \right)+3264 x \ln \left(x \right)+\frac{3600 \ln \left(x \right)}{x}+\frac{10}{x}-5760 \ln \left(x \right)$&$37$\\ norman&$\frac{10-5760 x \ln \left(x \right)+3264 x^{2} \ln \left(x \right)-768 x^{3} \ln \left(x \right)+64 x^{4} \ln \left(x \right)+3600 \ln \left(x \right)}{x}$&$37$\\ risch&$\frac{16 \left(4 x^{4}-48 x^{3}+204 x^{2}+225\right) \ln \left(x \right)}{x}-\frac{10 \left(576 x \ln \left(x \right)-1\right)}{x}$&$38$\\ \hline \end{longtable}"," ",0,"64*x^3*ln(x)-768*x^2*ln(x)+3264*x*ln(x)+3600*ln(x)/x+10/x-5760*ln(x)","A"
3231,1,7,13,0.006000," ","int(1/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{\ln \left(5\right)}$&$7$\\ norman&$\frac{x}{\ln \left(5\right)}$&$7$\\ risch&$\frac{x}{\ln \left(5\right)}$&$7$\\ \hline \end{longtable}"," ",0,"x/ln(5)","A"
3232,1,45,31,0.211000," ","int((4*exp((4*exp(3)+4)/exp(3))+8*ln(2)+4*x^2)/(exp((4*exp(3)+4)/exp(3))^2+(4*ln(2)-2*x^2+2*x)*exp((4*exp(3)+4)/exp(3))+4*ln(2)^2+2*(-2*x^2+2*x)*ln(2)+x^4-2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left({\mathrm e}^{4 \,{\mathrm e}^{-3}+4}-x^{2}+2 \ln \left(2\right)+2 x \right)-2 \ln \left({\mathrm e}^{4 \,{\mathrm e}^{-3}+4}-x^{2}+2 \ln \left(2\right)\right)$&$45$\\ norman&$-2 \ln \left(-x^{2}+{\mathrm e}^{\left(4 \,{\mathrm e}^{3}+4\right) {\mathrm e}^{-3}}+2 \ln \left(2\right)\right)+2 \ln \left(-x^{2}+{\mathrm e}^{\left(4 \,{\mathrm e}^{3}+4\right) {\mathrm e}^{-3}}+2 \ln \left(2\right)+2 x \right)$&$55$\\ default&$2 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}-2 \textit{\_Z}^{3}+\left(-4 \ln \left(2\right)-2 \,{\mathrm e}^{4 \left({\mathrm e}^{3}+1\right) {\mathrm e}^{-3}}\right) \textit{\_Z}^{2}+\left(4 \ln \left(2\right)+2 \,{\mathrm e}^{4 \left({\mathrm e}^{3}+1\right) {\mathrm e}^{-3}}\right) \textit{\_Z} +4 \ln \left(2\right)^{2}+4 \ln \left(2\right) {\mathrm e}^{4 \left({\mathrm e}^{3}+1\right) {\mathrm e}^{-3}}+{\mathrm e}^{8 \left({\mathrm e}^{3}+1\right) {\mathrm e}^{-3}}\right)}{\sum}\frac{\left(\textit{\_R}^{2}+2 \ln \left(2\right)+{\mathrm e}^{4 \left({\mathrm e}^{3}+1\right) {\mathrm e}^{-3}}\right) \ln \left(x -\textit{\_R} \right)}{2 \textit{\_R}^{3}-4 \textit{\_R} \ln \left(2\right)-2 \,{\mathrm e}^{4 \left({\mathrm e}^{3}+1\right) {\mathrm e}^{-3}} \textit{\_R} -3 \textit{\_R}^{2}+2 \ln \left(2\right)+{\mathrm e}^{4 \left({\mathrm e}^{3}+1\right) {\mathrm e}^{-3}}}\right)$&$149$\\ \hline \end{longtable}"," ",0,"2*ln(exp(4*exp(-3)+4)-x^2+2*ln(2)+2*x)-2*ln(exp(4*exp(-3)+4)-x^2+2*ln(2))","A"
3233,1,27,21,0.212000," ","int(((1-x)*exp(x)*ln(x)+((1-x)*ln(5)+1)*exp(x))/(x^2*ln(x)^2+(-exp(x)*x+2*x^2*ln(5))*ln(x)-x*exp(x)*ln(5)+x^2*ln(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)+\frac{x \ln \left(5\right)-{\mathrm e}^{x}}{x}\right)-\ln \left(\ln \left(5\right)+\ln \left(x \right)\right)$&$27$\\ norman&$-\ln \left(x \right)-\ln \left(\ln \left(5\right)+\ln \left(x \right)\right)+\ln \left(x \ln \left(5\right)+x \ln \left(x \right)-{\mathrm e}^{x}\right)$&$28$\\ \hline \end{longtable}"," ",0,"ln(ln(x)+1/x*(x*ln(5)-exp(x)))-ln(ln(5)+ln(x))","A"
3234,1,18,20,0.066000," ","int(((-8*x+6)*ln(x-3/4)^2+(-8*x^2-16*x)*ln(x-3/4)+8*x-6)/((4*x^3-3*x^2)*ln(x-3/4)^4+(-8*x^3+6*x^2)*ln(x-3/4)^2+4*x^3-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2+x}{x \left(\ln \left(x -\frac{3}{4}\right)^{2}-1\right)}$&$18$\\ risch&$\frac{2+x}{x \left(\ln \left(x -\frac{3}{4}\right)^{2}-1\right)}$&$18$\\ \hline \end{longtable}"," ",0,"(2+x)/x/(ln(x-3/4)^2-1)","A"
3235,1,64,27,0.045000," ","int((((-x^4+x^3+16*x^2+3*x+1)*exp(2)-2*x^4-3*x^3+17*x^2+6*x+2)*exp(x)+(-20*x^3+75*x^2+10*x+5)*exp(2)-40*x^3+75*x^2+20*x+10)/(exp(2)+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{x} x +{\mathrm e}^{x} x^{2}+5 x +5 x^{2}-5 x^{4}-{\mathrm e}^{x} x^{4}+\frac{25 \left({\mathrm e}^{2}+1\right) x^{3}}{{\mathrm e}^{2}+2}+\frac{5 \left({\mathrm e}^{2}+1\right) x^{3} {\mathrm e}^{x}}{{\mathrm e}^{2}+2}$&$64$\\ risch&$-\frac{5 x^{4} {\mathrm e}^{2}}{{\mathrm e}^{2}+2}+\frac{25 x^{3} {\mathrm e}^{2}}{{\mathrm e}^{2}+2}-\frac{10 x^{4}}{{\mathrm e}^{2}+2}+\frac{5 x^{2} {\mathrm e}^{2}}{{\mathrm e}^{2}+2}+\frac{25 x^{3}}{{\mathrm e}^{2}+2}+\frac{5 \,{\mathrm e}^{2} x}{{\mathrm e}^{2}+2}+\frac{10 x^{2}}{{\mathrm e}^{2}+2}+\frac{10 x}{{\mathrm e}^{2}+2}+\frac{\left(-x^{4} {\mathrm e}^{2}+5 x^{3} {\mathrm e}^{2}-2 x^{4}+x^{2} {\mathrm e}^{2}+5 x^{3}+{\mathrm e}^{2} x +2 x^{2}+2 x \right) {\mathrm e}^{x}}{{\mathrm e}^{2}+2}$&$146$\\ default&$\frac{10 x +{\mathrm e}^{2} {\mathrm e}^{x}+{\mathrm e}^{2} \left({\mathrm e}^{x} x^{3}-3 \,{\mathrm e}^{x} x^{2}+6 \,{\mathrm e}^{x} x -6 \,{\mathrm e}^{x}\right)+2 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x} x^{2}+5 \,{\mathrm e}^{x} x^{3}-2 \,{\mathrm e}^{x} x^{4}+3 \,{\mathrm e}^{2} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+16 \,{\mathrm e}^{2} \left({\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right)-{\mathrm e}^{2} \left({\mathrm e}^{x} x^{4}-4 \,{\mathrm e}^{x} x^{3}+12 \,{\mathrm e}^{x} x^{2}-24 \,{\mathrm e}^{x} x +24 \,{\mathrm e}^{x}\right)+{\mathrm e}^{2} \left(-5 x^{4}+25 x^{3}+5 x^{2}+5 x \right)+10 x^{2}+25 x^{3}-10 x^{4}}{{\mathrm e}^{2}+2}$&$173$\\ \hline \end{longtable}"," ",0,"exp(x)*x+exp(x)*x^2+5*x+5*x^2-5*x^4-exp(x)*x^4+25*(exp(2)+1)/(exp(2)+2)*x^3+5*(exp(2)+1)/(exp(2)+2)*x^3*exp(x)","B"
3236,1,38,18,0.071000," ","int(((2*x^4+18*x^3+60*x^2+88*x+48)*ln(2)^4+(-90*x-180)*ln(2)^2-4050)/(x^3+6*x^2+12*x+8)/ln(2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+6 x +\frac{90 x \ln \left(2\right)^{2}+180 \ln \left(2\right)^{2}+2025}{\ln \left(2\right)^{4} \left(x^{2}+4 x +4\right)}$&$38$\\ default&$\frac{x^{2} \ln \left(2\right)^{4}+6 x \ln \left(2\right)^{4}+\frac{90 \ln \left(2\right)^{2}}{2+x}+\frac{2025}{\left(2+x \right)^{2}}}{\ln \left(2\right)^{4}}$&$40$\\ gosper&$\frac{\ln \left(2\right)^{4} x^{4}+10 x^{3} \ln \left(2\right)^{4}-88 x \ln \left(2\right)^{4}-112 \ln \left(2\right)^{4}+90 x \ln \left(2\right)^{2}+180 \ln \left(2\right)^{2}+2025}{\ln \left(2\right)^{4} \left(x^{2}+4 x +4\right)}$&$61$\\ norman&$\frac{x^{4} \ln \left(2\right)^{3}-2 \ln \left(2\right) \left(44 \ln \left(2\right)^{2}-45\right) x +10 x^{3} \ln \left(2\right)^{3}-\frac{112 \ln \left(2\right)^{4}-180 \ln \left(2\right)^{2}-2025}{\ln \left(2\right)}}{\left(2+x \right)^{2} \ln \left(2\right)^{3}}$&$62$\\ \hline \end{longtable}"," ",0,"x^2+6*x+1/ln(2)^4*(90*x*ln(2)^2+180*ln(2)^2+2025)/(x^2+4*x+4)","B"
3237,1,31,20,0.618000," ","int((((-x-6)*ln(2)+12*x+72)*ln(x+6)+(2*x+6)*ln(2)-x^3-5*x^2-24*x-72)/(x^3+6*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\ln \left(2\right)-12\right) \ln \left(x +6\right)+x \ln \left(x +6\right)-x^{2}-\ln \left(2\right)+12}{x}$&$31$\\ risch&$\frac{\left(\ln \left(2\right)-12\right) \ln \left(x +6\right)}{x}+\frac{x \ln \left(x +6\right)-x^{2}-\ln \left(2\right)+12}{x}$&$35$\\ derivativedivides&$\frac{\ln \left(2\right) \ln \left(x +6\right) \left(x +6\right)}{6 x}-\frac{\ln \left(2\right)}{x}-\frac{\ln \left(x +6\right) \ln \left(2\right)}{6}-\frac{2 \ln \left(x +6\right) \left(x +6\right)}{x}-x -6+\frac{12}{x}+3 \ln \left(x +6\right)$&$58$\\ default&$\frac{\ln \left(2\right) \ln \left(x +6\right) \left(x +6\right)}{6 x}-\frac{\ln \left(2\right)}{x}-\frac{\ln \left(x +6\right) \ln \left(2\right)}{6}-\frac{2 \ln \left(x +6\right) \left(x +6\right)}{x}-x -6+\frac{12}{x}+3 \ln \left(x +6\right)$&$58$\\ \hline \end{longtable}"," ",0,"((ln(2)-12)*ln(x+6)+x*ln(x+6)-x^2-ln(2)+12)/x","A"
3238,1,24,24,0.026000," ","int((-2*ln(x)-4*x^2*exp(x^2)^2+2*x^2+2*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\ln \left(x \right)+x^{2}-{\mathrm e}^{2 x^{2}}-\ln \left(x \right)^{2}$&$24$\\ norman&$2 x +\ln \left(x \right)+x^{2}-{\mathrm e}^{2 x^{2}}-\ln \left(x \right)^{2}$&$24$\\ risch&$2 x +\ln \left(x \right)+x^{2}-{\mathrm e}^{2 x^{2}}-\ln \left(x \right)^{2}$&$24$\\ \hline \end{longtable}"," ",0,"2*x+ln(x)+x^2-exp(x^2)^2-ln(x)^2","A"
3239,1,51,27,0.525000," ","int(((2*x^2-2*x)*ln(x^3/(x-1))^2+(-9*x^3+13*x^2-6*x)*ln(x^3/(x-1))+9*x^4-15*x^3+9*x^2)/(2*x-2)/ln(5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\frac{x^{3}}{x -1}\right)^{2} x^{2}}{2 \ln \left(5\right)^{2}}-\frac{3 \ln \left(\frac{x^{3}}{x -1}\right) x^{3}}{2 \ln \left(5\right)^{2}}+\frac{9 x^{4}}{8 \ln \left(5\right)^{2}}$&$51$\\ norman&$\frac{\frac{9 x^{4}}{8 \ln \left(5\right)}+\frac{x^{2} \ln \left(\frac{x^{3}}{x -1}\right)^{2}}{2 \ln \left(5\right)}-\frac{3 x^{3} \ln \left(\frac{x^{3}}{x -1}\right)}{2 \ln \left(5\right)}}{\ln \left(5\right)}$&$56$\\ \hline \end{longtable}"," ",0,"1/2/ln(5)^2*ln(x^3/(x-1))^2*x^2-3/2/ln(5)^2*ln(x^3/(x-1))*x^3+9/8/ln(5)^2*x^4","A"
3240,1,17,15,0.030000," ","int(-3/2*exp(x)*exp(2*x)+1/2*(ln(2)+2+x)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{3 x}}{2}+\frac{\left(\ln \left(2\right)+x +1\right) {\mathrm e}^{x}}{2}$&$17$\\ norman&$\left(\frac{1}{2}+\frac{\ln \left(2\right)}{2}\right) {\mathrm e}^{x}-\frac{{\mathrm e}^{3 x}}{2}+\frac{{\mathrm e}^{x} x}{2}$&$22$\\ default&$\frac{{\mathrm e}^{x} x}{2}+\frac{{\mathrm e}^{x}}{2}+\frac{{\mathrm e}^{x} \ln \left(2\right)}{2}-\frac{{\mathrm e}^{3 x}}{2}$&$23$\\ meijerg&$1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{4}-\frac{{\mathrm e}^{3 x}}{2}-\left(1+\frac{\ln \left(2\right)}{2}\right) \left(1-{\mathrm e}^{x}\right)$&$32$\\ \hline \end{longtable}"," ",0,"-1/2*exp(3*x)+1/2*(ln(2)+x+1)*exp(x)","A"
3241,1,28,22,0.028000," ","int(-3*ln(4/5)+15*x^4-12*x^3-45*x^2-18*x+10,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(-3 x^{4}+3 x^{3}+15 x^{2}+3 \ln \left(\frac{4}{5}\right)+9 x -10\right)$&$28$\\ default&$-3 \ln \left(\frac{4}{5}\right) x +3 x^{5}-3 x^{4}-15 x^{3}-9 x^{2}+10 x$&$30$\\ norman&$\left(-6 \ln \left(2\right)+3 \ln \left(5\right)+10\right) x -9 x^{2}-15 x^{3}-3 x^{4}+3 x^{5}$&$34$\\ risch&$3 x^{5}-3 x^{4}-15 x^{3}-6 x \ln \left(2\right)+3 x \ln \left(5\right)-9 x^{2}+10 x$&$35$\\ \hline \end{longtable}"," ",0,"-x*(-3*x^4+3*x^3+15*x^2+3*ln(4/5)+9*x-10)","A"
3242,1,16,24,0.607000," ","int((-4*x^3+143*x^2-1260*x)/(2*x^2-72*x+648),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x^{2} \left(2 x -35\right)}{2 \left(-18+x \right)}$&$16$\\ default&$-x^{2}-\frac{x}{2}-\frac{162}{-18+x}$&$17$\\ risch&$-x^{2}-\frac{x}{2}-\frac{162}{-18+x}$&$17$\\ norman&$\frac{\frac{35}{2} x^{2}-x^{3}}{-18+x}$&$18$\\ meijerg&$-\frac{9 x \left(-\frac{1}{162} x^{2}-\frac{1}{3} x +12\right)}{1-\frac{x}{18}}+\frac{143 x \left(-\frac{x}{6}+6\right)}{6 \left(1-\frac{x}{18}\right)}-\frac{35 x}{1-\frac{x}{18}}$&$47$\\ \hline \end{longtable}"," ",0,"-1/2*x^2*(2*x-35)/(-18+x)","A"
3243,1,27,23,0.056000," ","int(((5*x-2)*exp(x)^5+6*x^3*exp(x)^3+(x^5+2*x^4)*exp(x)-2*x^3+x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-2 x +{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{3 x}+\frac{{\mathrm e}^{5 x}}{x^{2}}$&$27$\\ risch&$\ln \left(x \right)-2 x +{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{3 x}+\frac{{\mathrm e}^{5 x}}{x^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"ln(x)-2*x+exp(x)*x^2+2*exp(x)^3+1/x^2*exp(x)^5","A"
3244,1,15,14,0.033000," ","int(-2/5/x/ln(2)/ln(4*x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{1}{5 \ln \left(4 x^{2}\right) \ln \left(2\right)}$&$15$\\ default&$\frac{1}{5 \ln \left(4 x^{2}\right) \ln \left(2\right)}$&$15$\\ norman&$\frac{1}{5 \ln \left(4 x^{2}\right) \ln \left(2\right)}$&$15$\\ risch&$\frac{1}{5 \ln \left(4 x^{2}\right) \ln \left(2\right)}$&$15$\\ \hline \end{longtable}"," ",0,"1/5/ln(4*x^2)/ln(2)","A"
3245,1,27,21,0.176000," ","int(((x^5-6*x^3-6*x^2-27*x-27)*exp((x^4+6*x^2+9)/x^3)+3*x^4)/(x^6+2*x^5+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3}{x +1}+\frac{{\mathrm e}^{\frac{\left(x^{2}+3\right)^{2}}{x^{3}}}}{x +1}$&$27$\\ norman&$\frac{-3 x^{3}+{\mathrm e}^{\frac{x^{4}+6 x^{2}+9}{x^{3}}} x^{3}}{x^{3} \left(x +1\right)}$&$35$\\ \hline \end{longtable}"," ",0,"-3/(x+1)+1/(x+1)*exp((x^2+3)^2/x^3)","A"
3246,1,13,23,0.010000," ","int(-9*x^2+2*x+8/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x^{3}+x^{2}+\frac{8}{3} x$&$13$\\ norman&$-3 x^{3}+x^{2}+\frac{8}{3} x$&$13$\\ risch&$-3 x^{3}+x^{2}+\frac{8}{3} x$&$13$\\ gosper&$-\frac{x \left(9 x^{2}-3 x -8\right)}{3}$&$14$\\ \hline \end{longtable}"," ",0,"-3*x^3+x^2+8/3*x","A"
3247,1,38,27,0.590000," ","int(((-3*x^2-18*x-18)*exp(x)-3*x^2-36*x+1)/((x^2+12*x+36)*exp(1)+x^2+12*x+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{3 x^{2}}{1+{\mathrm e}}-\frac{3 x \,{\mathrm e}^{x}}{1+{\mathrm e}}-\frac{1}{1+{\mathrm e}}}{x +6}$&$38$\\ risch&$-\frac{3 x}{1+{\mathrm e}}-\frac{109 \,{\mathrm e}}{\left(1+{\mathrm e}\right) \left(x \,{\mathrm e}+6 \,{\mathrm e}+x +6\right)}-\frac{109}{\left(1+{\mathrm e}\right) \left(x \,{\mathrm e}+6 \,{\mathrm e}+x +6\right)}-\frac{3 x \,{\mathrm e}^{x}}{\left(1+{\mathrm e}\right) \left(x +6\right)}$&$71$\\ default&$-\frac{109}{\left(1+{\mathrm e}\right) \left(x +6\right)}-\frac{3 x}{1+{\mathrm e}}-\frac{18 \left(-\frac{{\mathrm e}^{x}}{x +6}-{\mathrm e}^{-6} \expIntegralEi \left(1, -x -6\right)\right)}{1+{\mathrm e}}-\frac{18 \,{\mathrm e}^{-6} \expIntegralEi \left(1, -x -6\right)}{1+{\mathrm e}}-\frac{3 \,{\mathrm e}^{x}}{1+{\mathrm e}}$&$80$\\ \hline \end{longtable}"," ",0,"(-3/(1+exp(1))*x^2-3*x/(1+exp(1))*exp(x)-1/(1+exp(1)))/(x+6)","A"
3248,1,359,29,0.639000," ","int((((-5*x^3+10*x^2+30*x)*exp(x)-20*x^3+85*x^2+30*x)*ln(x/exp(x))+(5*x^3-20*x^2+15*x)*exp(x)+10*x^4-35*x^3+10*x^2+15*x)*exp(((-5*exp(x)*x^2-10*x^3-5*x^2)*ln(x/exp(x))+4*x-12)/(x-3))/(x^2-6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-10 i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3} x^{3}-5 i \pi  \,{\mathrm e}^{x} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3} x^{2}-5 i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3} x^{2}+10 i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \right) x^{3}+5 i \pi  \,{\mathrm e}^{x} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \right) x^{2}-5 i \pi  \,{\mathrm e}^{x} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) x^{2}+5 i \pi  \,{\mathrm e}^{x} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) x^{2}-10 i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) x^{3}+10 i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) x^{3}-5 i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) x^{2}+5 i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \right) x^{2}+5 i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) x^{2}+10 x^{2} {\mathrm e}^{x} \ln \left(x \right)+20 x^{3} \ln \left(x \right)-10 \,{\mathrm e}^{x} \ln \left({\mathrm e}^{x}\right) x^{2}-20 \ln \left({\mathrm e}^{x}\right) x^{3}+10 x^{2} \ln \left(x \right)-10 \ln \left({\mathrm e}^{x}\right) x^{2}-8 x +24}{2 \left(x -3\right)}}$&$359$\\ \hline \end{longtable}"," ",0,"exp(-1/2*(-10*I*Pi*csgn(I*x*exp(-x))^3*x^3-5*I*Pi*exp(x)*csgn(I*x*exp(-x))^3*x^2-5*I*Pi*csgn(I*x*exp(-x))^3*x^2+10*I*Pi*csgn(I*x*exp(-x))^2*csgn(I*x)*x^3+5*I*Pi*exp(x)*csgn(I*x*exp(-x))^2*csgn(I*x)*x^2-5*I*Pi*exp(x)*csgn(I*x*exp(-x))*csgn(I*x)*csgn(I*exp(-x))*x^2+5*I*Pi*exp(x)*csgn(I*x*exp(-x))^2*csgn(I*exp(-x))*x^2-10*I*Pi*csgn(I*x*exp(-x))*csgn(I*x)*csgn(I*exp(-x))*x^3+10*I*Pi*csgn(I*x*exp(-x))^2*csgn(I*exp(-x))*x^3-5*I*Pi*csgn(I*x*exp(-x))*csgn(I*x)*csgn(I*exp(-x))*x^2+5*I*Pi*csgn(I*x*exp(-x))^2*csgn(I*x)*x^2+5*I*Pi*csgn(I*x*exp(-x))^2*csgn(I*exp(-x))*x^2+10*x^2*exp(x)*ln(x)+20*x^3*ln(x)-10*exp(x)*ln(exp(x))*x^2-20*ln(exp(x))*x^3+10*x^2*ln(x)-10*ln(exp(x))*x^2-8*x+24)/(x-3))","C"
3249,1,63,23,0.105000," ","int(((256*ln(4*exp(x)^2)-256*x)*ln(ln(4*exp(x)^2)-x)+((256*x+256)*exp(x-2)-512*x-9)*ln(4*exp(x)^2)+(-256*x^2-256*x)*exp(x-2)+512*x^2+265*x)/(256*ln(4*exp(x)^2)-256*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(2 \ln \left(2\right)+2 \ln \left({\mathrm e}^{x}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right)^{2}}{2}-x \right)-x^{2}-\frac{9 x}{256}+x \,{\mathrm e}^{x -2}$&$63$\\ default&$-x^{2}+\frac{503 x}{256}-2 \ln \left(\ln \left(4 \,{\mathrm e}^{2 x}\right)-x \right) \left(\ln \left({\mathrm e}^{x}\right)-x \right)-\ln \left(\ln \left(4 \,{\mathrm e}^{2 x}\right)-x \right) \left(\ln \left(4 \,{\mathrm e}^{2 x}\right)-2 \ln \left({\mathrm e}^{x}\right)\right)+\ln \left(\ln \left(4 \,{\mathrm e}^{2 x}\right)-x \right) \left(\ln \left(4 \,{\mathrm e}^{2 x}\right)-x \right)-\ln \left(4 \,{\mathrm e}^{2 x}\right)-6 \,{\mathrm e}^{-2+2 x -\ln \left(4 \,{\mathrm e}^{2 x}\right)} \expIntegralEi \left(1, x -\ln \left(4 \,{\mathrm e}^{2 x}\right)\right)+2 \,{\mathrm e}^{x -2}-5 \left(-2+2 x -\ln \left(4 \,{\mathrm e}^{2 x}\right)\right) {\mathrm e}^{-2+2 x -\ln \left(4 \,{\mathrm e}^{2 x}\right)} \expIntegralEi \left(1, x -\ln \left(4 \,{\mathrm e}^{2 x}\right)\right)+{\mathrm e}^{x -2} \left(x -2\right)-2 \left(\ln \left({\mathrm e}^{x}\right)-x \right) {\mathrm e}^{x -2}-\left(\left(\ln \left(4 \,{\mathrm e}^{2 x}\right)-2 \ln \left({\mathrm e}^{x}\right)\right)^{2}+4 \left(\ln \left(4 \,{\mathrm e}^{2 x}\right)-2 \ln \left({\mathrm e}^{x}\right)\right) \left(\ln \left({\mathrm e}^{x}\right)-x \right)+4 \left(\ln \left({\mathrm e}^{x}\right)-x \right)^{2}+4 \ln \left(4 \,{\mathrm e}^{2 x}\right)-8 x +4\right) {\mathrm e}^{-2+2 x -\ln \left(4 \,{\mathrm e}^{2 x}\right)} \expIntegralEi \left(1, x -\ln \left(4 \,{\mathrm e}^{2 x}\right)\right)-\left(\ln \left(4 \,{\mathrm e}^{2 x}\right)-2 \ln \left({\mathrm e}^{x}\right)\right) {\mathrm e}^{-2+2 x -\ln \left(4 \,{\mathrm e}^{2 x}\right)} \expIntegralEi \left(1, x -\ln \left(4 \,{\mathrm e}^{2 x}\right)\right)-6 \left(\ln \left({\mathrm e}^{x}\right)-x \right) {\mathrm e}^{-2+2 x -\ln \left(4 \,{\mathrm e}^{2 x}\right)} \expIntegralEi \left(1, x -\ln \left(4 \,{\mathrm e}^{2 x}\right)\right)+2 \ln \left({\mathrm e}^{x}\right) {\mathrm e}^{-2+2 x -\ln \left(4 \,{\mathrm e}^{2 x}\right)} \expIntegralEi \left(1, x -\ln \left(4 \,{\mathrm e}^{2 x}\right)\right) \left(\ln \left(4 \,{\mathrm e}^{2 x}\right)-2 \ln \left({\mathrm e}^{x}\right)\right)-2 \,{\mathrm e}^{-2+2 x -\ln \left(4 \,{\mathrm e}^{2 x}\right)} \expIntegralEi \left(1, x -\ln \left(4 \,{\mathrm e}^{2 x}\right)\right) x \left(\ln \left(4 \,{\mathrm e}^{2 x}\right)-2 \ln \left({\mathrm e}^{x}\right)\right)+{\mathrm e}^{-2+2 x -\ln \left(4 \,{\mathrm e}^{2 x}\right)} \expIntegralEi \left(1, x -\ln \left(4 \,{\mathrm e}^{2 x}\right)\right) \left(\ln \left(4 \,{\mathrm e}^{2 x}\right)-2 \ln \left({\mathrm e}^{x}\right)\right)^{2}+2 \left(\ln \left({\mathrm e}^{x}\right)-x \right) \left({\mathrm e}^{x -2}-\left(-2+2 x -\ln \left(4 \,{\mathrm e}^{2 x}\right)\right) {\mathrm e}^{-2+2 x -\ln \left(4 \,{\mathrm e}^{2 x}\right)} \expIntegralEi \left(1, x -\ln \left(4 \,{\mathrm e}^{2 x}\right)\right)\right)$&$556$\\ \hline \end{longtable}"," ",0,"x*ln(2*ln(2)+2*ln(exp(x))-1/2*I*Pi*csgn(I*exp(2*x))*(-csgn(I*exp(2*x))+csgn(I*exp(x)))^2-x)-x^2-9/256*x+x*exp(x-2)","C"
3250,1,18,24,0.552000," ","int(((-16*x^2+24*x-9)*exp(5)*exp(x)+12*exp(4)*ln(2)+(16*x^2-24*x+9)*exp(5))/(16*x^2-24*x+9)/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{3 \,{\mathrm e}^{-1} \ln \left(2\right)}{4 \left(x -\frac{3}{4}\right)}-{\mathrm e}^{x}$&$18$\\ norman&$\frac{4 x^{2}-4 \,{\mathrm e}^{x} x +3 \,{\mathrm e}^{x}-\frac{3 \left(4 \,{\mathrm e}^{4} \ln \left(2\right)+3 \,{\mathrm e}^{5}\right) {\mathrm e}^{-5}}{4}}{4 x -3}$&$41$\\ default&${\mathrm e}^{-5} \left(x \,{\mathrm e}^{5}-\frac{3 \,{\mathrm e}^{4} \ln \left(2\right)}{4 x -3}-9 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{x}}{16 \left(x -\frac{3}{4}\right)}-\frac{{\mathrm e}^{\frac{3}{4}} \expIntegralEi \left(1, -x +\frac{3}{4}\right)}{16}\right)+24 \,{\mathrm e}^{5} \left(-\frac{3 \,{\mathrm e}^{x}}{64 \left(x -\frac{3}{4}\right)}-\frac{7 \,{\mathrm e}^{\frac{3}{4}} \expIntegralEi \left(1, -x +\frac{3}{4}\right)}{64}\right)-16 \,{\mathrm e}^{5} \left(\frac{{\mathrm e}^{x}}{16}-\frac{9 \,{\mathrm e}^{x}}{256 \left(x -\frac{3}{4}\right)}-\frac{33 \,{\mathrm e}^{\frac{3}{4}} \expIntegralEi \left(1, -x +\frac{3}{4}\right)}{256}\right)\right)$&$103$\\ \hline \end{longtable}"," ",0,"x-3/4*exp(-1)*ln(2)/(x-3/4)-exp(x)","A"
3251,1,283,30,0.678000," ","int((((x-2)*ln(x)-x^2+4*x-4)*ln(12*ln(x)-12*x+24)*ln(1/(4*x-8)/ln(12*ln(x)-12*x+24)^2)+(x*ln(x)-x^2+2*x)*ln(12*ln(x)-12*x+24)-2*x^2+6*x-4)/(((5*x-10)*ln(x)-5*x^2+20*x-20)*ln(12*ln(x)-12*x+24)*ln(1/(4*x-8)/ln(12*ln(x)-12*x+24)^2)^2+((10*x^2-20*x)*ln(x)-10*x^3+40*x^2-40*x)*ln(12*ln(x)-12*x+24)*ln(1/(4*x-8)/ln(12*ln(x)-12*x+24)^2)+((5*x^3-10*x^2)*ln(x)-5*x^4+20*x^3-20*x^2)*ln(12*ln(x)-12*x+24)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{5 \left(-i \pi  \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(12 \ln \left(x \right)-12 x +24\right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(12 \ln \left(x \right)-12 x +24\right)^{2} \left(x -2\right)}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(12 \ln \left(x \right)-12 x +24\right)^{2} \left(x -2\right)}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(12 \ln \left(x \right)-12 x +24\right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(12 \ln \left(x \right)-12 x +24\right)^{2} \left(x -2\right)}\right)^{2}+i \pi  \mathrm{csgn}\left(i \ln \left(12 \ln \left(x \right)-12 x +24\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(12 \ln \left(x \right)-12 x +24\right)^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i \ln \left(12 \ln \left(x \right)-12 x +24\right)\right) \mathrm{csgn}\left(i \ln \left(12 \ln \left(x \right)-12 x +24\right)^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i \ln \left(12 \ln \left(x \right)-12 x +24\right)^{2}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i}{\ln \left(12 \ln \left(x \right)-12 x +24\right)^{2} \left(x -2\right)}\right)^{3}-4 \ln \left(2\right)+2 x -2 \ln \left(x -2\right)-4 \ln \left(\ln \left(12 \ln \left(x \right)-12 x +24\right)\right)\right)}$&$283$\\ \hline \end{longtable}"," ",0,"2/5*x/(-I*Pi*csgn(I/(x-2))*csgn(I/ln(12*ln(x)-12*x+24)^2)*csgn(I/ln(12*ln(x)-12*x+24)^2/(x-2))+I*Pi*csgn(I/(x-2))*csgn(I/ln(12*ln(x)-12*x+24)^2/(x-2))^2+I*Pi*csgn(I/ln(12*ln(x)-12*x+24)^2)*csgn(I/ln(12*ln(x)-12*x+24)^2/(x-2))^2+I*Pi*csgn(I*ln(12*ln(x)-12*x+24))^2*csgn(I*ln(12*ln(x)-12*x+24)^2)-2*I*Pi*csgn(I*ln(12*ln(x)-12*x+24))*csgn(I*ln(12*ln(x)-12*x+24)^2)^2+I*Pi*csgn(I*ln(12*ln(x)-12*x+24)^2)^3-I*Pi*csgn(I/ln(12*ln(x)-12*x+24)^2/(x-2))^3-4*ln(2)+2*x-2*ln(x-2)-4*ln(ln(12*ln(x)-12*x+24)))","C"
3252,1,39,22,0.298000," ","int(1/4*((2*x^2-x-2)*exp(1/2*(2*x^2+x+2)/x)^2+(6*x^3-6*x)*exp(1/2*(2*x^2+x+2)/x)+9*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 x}{4}+\frac{{\mathrm e}^{\frac{2 x^{2}+x +2}{x}}}{4 x}+\frac{3 \,{\mathrm e}^{\frac{2 x^{2}+x +2}{2 x}}}{2}$&$39$\\ norman&$\frac{\frac{9 x^{3}}{4}+\frac{3 \,{\mathrm e}^{\frac{2 x^{2}+x +2}{2 x}} x^{2}}{2}+\frac{{\mathrm e}^{\frac{2 x^{2}+x +2}{x}} x}{4}}{x^{2}}$&$49$\\ \hline \end{longtable}"," ",0,"9/4*x+1/4/x*exp((2*x^2+x+2)/x)+3/2*exp(1/2*(2*x^2+x+2)/x)","A"
3253,1,13,16,0.073000," ","int((((-4*ln(x)-12)*ln(3+ln(x))-4)*exp(x*ln(3+ln(x)))-4*ln(x)-12)/((3+ln(x))*exp(x*ln(3+ln(x)))+ln(x)*(x+1)+3*x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 \ln \left(\left(3+\ln \left(x \right)\right)^{x}+x +1\right)$&$13$\\ \hline \end{longtable}"," ",0,"-4*ln((3+ln(x))^x+x+1)","A"
3254,1,3,10,0.009000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
3255,1,37,33,0.430000," ","int(((-256*x^4+1024*x^3-1136*x^2+1024*x-656)*ln(2*ln(2))-512*x^5+1280*x^4-560*x^2+1760*x-1968)/((1280*x^6-5120*x^5+11680*x^4-13120*x^3+8405*x^2)*ln(2*ln(2))^2+(2560*x^7-2560*x^6-7360*x^5+43840*x^4-61910*x^3+50430*x^2)*ln(2*ln(2))+1280*x^8+2560*x^7-7520*x^6+10880*x^5+34805*x^4-67650*x^3+75645*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{16}{5}-\frac{32}{5} x +\frac{16}{5} x^{2}}{x \left(16 x^{2}-32 x +41\right) \left(3+x +\ln \left(2 \ln \left(2\right)\right)\right)}$&$37$\\ gosper&$\frac{16 \left(x -1\right)^{2}}{5 x \left(16 x^{2} \ln \left(2 \ln \left(2\right)\right)+16 x^{3}-32 x \ln \left(2 \ln \left(2\right)\right)+16 x^{2}+41 \ln \left(2 \ln \left(2\right)\right)-55 x +123\right)}$&$53$\\ risch&$\frac{\frac{16}{5}-\frac{32}{5} x +\frac{16}{5} x^{2}}{\left(16 x^{2} \ln \left(2\right)+16 x^{2} \ln \left(\ln \left(2\right)\right)+16 x^{3}-32 x \ln \left(2\right)-32 x \ln \left(\ln \left(2\right)\right)+16 x^{2}+41 \ln \left(2\right)+41 \ln \left(\ln \left(2\right)\right)-55 x +123\right) x}$&$68$\\ default&$-\frac{1280 \left(\left(-\frac{5}{16}-\frac{\ln \left(2 \ln \left(2\right)\right)}{16}\right) x +\frac{119}{256}+\frac{\ln \left(2 \ln \left(2\right)\right)}{8}\right)}{41 \left(16 \ln \left(2 \ln \left(2\right)\right)^{2}+128 \ln \left(2 \ln \left(2\right)\right)+281\right) \left(x^{2}-2 x +\frac{41}{16}\right)}+\frac{16}{5 \left(41 \ln \left(2 \ln \left(2\right)\right)+123\right) x}-\frac{16 \left(\ln \left(2 \ln \left(2\right)\right)^{2}+8 \ln \left(2 \ln \left(2\right)\right)+16\right)}{5 \left(16 \ln \left(2 \ln \left(2\right)\right)^{2}+128 \ln \left(2 \ln \left(2\right)\right)+281\right) \left(\ln \left(2 \ln \left(2\right)\right)+3\right) \left(3+x +\ln \left(2 \ln \left(2\right)\right)\right)}$&$127$\\ \hline \end{longtable}"," ",0,"(16/5-32/5*x+16/5*x^2)/x/(16*x^2-32*x+41)/(3+x+ln(2*ln(2)))","A"
3256,1,25,31,0.106000," ","int((((2*exp(2)+8)*exp(x/(4+exp(2)))-2*exp(2)*x-8*x)*ln(exp(x/(4+exp(2)))-x)^2+ln(2)*exp(x/(4+exp(2)))+(-exp(2)-4)*ln(2))/((4+exp(2))*exp(x/(4+exp(2)))-exp(2)*x-4*x)/ln(exp(x/(4+exp(2)))-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\frac{\ln \left(2\right)}{\ln \left({\mathrm e}^{\frac{x}{4+{\mathrm e}^{2}}}-x \right)}$&$25$\\ norman&$\frac{2 x \ln \left({\mathrm e}^{\frac{x}{4+{\mathrm e}^{2}}}-x \right)-\ln \left(2\right)}{\ln \left({\mathrm e}^{\frac{x}{4+{\mathrm e}^{2}}}-x \right)}$&$40$\\ \hline \end{longtable}"," ",0,"2*x-ln(2)/ln(exp(x/(4+exp(2)))-x)","A"
3257,1,43,31,0.040000," ","int((x^2*ln(3)*ln(x)^4+(-4*x^3+12*x^2)*ln(3)*ln(x)^3+((6*x^4-40*x^3+54*x^2)*ln(3)+3*x^2-768)*ln(x)^2+((-4*x^5+44*x^4-132*x^3+108*x^2)*ln(3)+204*x^2+2880*x-6144)*ln(x)+(x^6-16*x^5+82*x^4-144*x^3+81*x^2)*ln(3)-3*x^4-186*x^3-1335*x^2+13248*x-11520)/(x^2*ln(3)*ln(x)^4+(-4*x^3+12*x^2)*ln(3)*ln(x)^3+(6*x^4-40*x^3+54*x^2)*ln(3)*ln(x)^2+(-4*x^5+44*x^4-132*x^3+108*x^2)*ln(3)*ln(x)+(x^6-16*x^5+82*x^4-144*x^3+81*x^2)*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{3 x^{2}+96 x +768}{x \ln \left(3\right) \left(\ln \left(x \right)^{2}-2 x \ln \left(x \right)+x^{2}+6 \ln \left(x \right)-8 x +9\right)}$&$43$\\ \hline \end{longtable}"," ",0,"x+3*(x^2+32*x+256)/x/ln(3)/(ln(x)^2-2*x*ln(x)+x^2+6*ln(x)-8*x+9)","A"
3258,1,167,21,0.716000," ","int((((x^2-5*x)*ln(x)+x^2-5*x)*ln(x^2-5*x)^2*ln(x^2)+((x^2-5*x)*ln(x)-x^2+5*x)*ln(x^2-5*x)^2+(x-5)*ln(x^2-5*x)+(-2*x+5)*ln(x))/(x^2-5*x)/ln(x^2-5*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \ln \left(x \right)^{2}-\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \ln \left(x \right)}{2}+i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \ln \left(x \right)-\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3} \ln \left(x \right)}{2}-x \ln \left(x \right)+\frac{2 \ln \left(x \right)}{2 \ln \left(x \right)+2 \ln \left(x -5\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -5\right)\right) \mathrm{csgn}\left(i x \left(x -5\right)\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -5\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(x -5\right)\right) \mathrm{csgn}\left(i x \left(x -5\right)\right)^{2}-i \pi  \mathrm{csgn}\left(i x \left(x -5\right)\right)^{3}}$&$167$\\ \hline \end{longtable}"," ",0,"2*x*ln(x)^2-1/2*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)*ln(x)+I*Pi*x*csgn(I*x)*csgn(I*x^2)^2*ln(x)-1/2*I*Pi*x*csgn(I*x^2)^3*ln(x)-x*ln(x)+2*ln(x)/(2*ln(x)+2*ln(x-5)-I*Pi*csgn(I*x)*csgn(I*(x-5))*csgn(I*x*(x-5))+I*Pi*csgn(I*x)*csgn(I*x*(x-5))^2+I*Pi*csgn(I*(x-5))*csgn(I*x*(x-5))^2-I*Pi*csgn(I*x*(x-5))^3)","C"
3259,1,14,21,0.017000," ","int(exp(exp(4))-8*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-4 x^{2}+\left({\mathrm e}^{{\mathrm e}^{4}}-1\right) x$&$14$\\ gosper&$x \,{\mathrm e}^{{\mathrm e}^{4}}-4 x^{2}-x$&$15$\\ default&$x \,{\mathrm e}^{{\mathrm e}^{4}}-4 x^{2}-x$&$15$\\ risch&$x \,{\mathrm e}^{{\mathrm e}^{4}}-4 x^{2}-x$&$15$\\ \hline \end{longtable}"," ",0,"-4*x^2+(exp(exp(4))-1)*x","A"
3260,1,19,20,0.021000," ","int((25*ln(x)^2+(100*x+10)*ln(x)-80*x-85)/(25*x*ln(x)^2+10*x*ln(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\frac{20 x +\frac{86}{5}}{1+5 \ln \left(x \right)}$&$19$\\ norman&$\frac{5 \ln \left(x \right)^{2}-85 \ln \left(x \right)+20 x}{1+5 \ln \left(x \right)}$&$24$\\ \hline \end{longtable}"," ",0,"ln(x)+2/5*(50*x+43)/(1+5*ln(x))","A"
3261,1,33,31,0.109000," ","int(((-6*x^2+14*x-4)*exp(x)^3+(-9*x^3+42*x^2-46*x+16)*exp(x)^2+(18*x^3-42*x^2+24*x)*exp(x)-9*x^3+9*x^2)*exp(ln(x)+ln(3)-x)/(x*exp(x)^4+(6*x^2-8*x)*exp(x)^3+(9*x^3-30*x^2+16*x)*exp(x)^2+(-18*x^3+24*x^2)*exp(x)+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x \,{\mathrm e}^{-x}-\frac{3 x \,{\mathrm e}^{x}}{{\mathrm e}^{2 x}+3 \,{\mathrm e}^{x} x -4 \,{\mathrm e}^{x}-3 x}$&$33$\\ norman&$\frac{\left(-12 \,{\mathrm e}^{x} x -9 x^{2}+9 \,{\mathrm e}^{x} x^{2}\right) {\mathrm e}^{-x}}{{\mathrm e}^{2 x}+3 \,{\mathrm e}^{x} x -4 \,{\mathrm e}^{x}-3 x}$&$43$\\ \hline \end{longtable}"," ",0,"3*x*exp(-x)-3*x*exp(x)/(exp(2*x)+3*exp(x)*x-4*exp(x)-3*x)","A"
3262,1,9,14,0.057000," ","int((-8*x-8)*exp(x)^2*exp(-8*exp(x)*x+2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-8 \,{\mathrm e}^{x} x +2}$&$9$\\ norman&${\mathrm e}^{x} {\mathrm e}^{-8 \,{\mathrm e}^{x} x +2-x}$&$15$\\ \hline \end{longtable}"," ",0,"exp(-8*exp(x)*x+2)","A"
3263,1,17,15,0.081000," ","int(((-48*x+4)*exp(12*x-1)-x^2)/(16*exp(12*x-1)^2+8*x^2*exp(12*x-1)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{x^{2}+4 \,{\mathrm e}^{12 x -1}}$&$17$\\ risch&$\frac{x}{x^{2}+4 \,{\mathrm e}^{12 x -1}}$&$17$\\ \hline \end{longtable}"," ",0,"x/(x^2+4*exp(12*x-1))","A"
3264,1,18,25,0.027000," ","int(((2*x^2-4*x+2)*ln(ln(2*x-4))+(-3*x+6)*ln(2*x-4))/(3*x^3-12*x^2+15*x-6)/ln(2*x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(2 x -4\right)\right)^{2}}{3}+\frac{1}{x -1}$&$18$\\ default&$\frac{1}{x -1}+\frac{\ln \left(\ln \left(2\right)+\ln \left(x -2\right)\right)^{2}}{3}$&$19$\\ \hline \end{longtable}"," ",0,"1/3*ln(ln(2*x-4))^2+1/(x-1)","A"
3265,1,21,22,0.086000," ","int((-240*x*exp(16)-240*x-1)*ln(5*exp(3))/(14400*x^4*exp(16)^2+(28800*x^4+240*x^3)*exp(16)+14400*x^4+240*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(5\right)+3}{x \left(120 x \,{\mathrm e}^{16}+120 x +1\right)}$&$21$\\ risch&$\frac{\ln \left(5\right)+3}{x \left(120 x \,{\mathrm e}^{16}+120 x +1\right)}$&$21$\\ gosper&$\frac{\ln \left(5 \,{\mathrm e}^{3}\right)}{x \left(120 x \,{\mathrm e}^{16}+120 x +1\right)}$&$22$\\ \hline \end{longtable}"," ",0,"(ln(5)+3)/x/(120*x*exp(16)+120*x+1)","A"
3266,1,16,19,0.038000," ","int(1/4*(20*ln(2)-5*x-25)/exp(3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(20 \ln \left(2\right)-20-5 x \right) {\mathrm e}^{x -3}}{4}$&$16$\\ norman&$\left(-\frac{5 x}{4}-5+5 \ln \left(2\right)\right) {\mathrm e}^{x -3}$&$19$\\ gosper&$\frac{5 \left(4 \ln \left(2\right)-4-x \right) {\mathrm e}^{x -3}}{4}$&$20$\\ derivativedivides&$\frac{5 \,{\mathrm e}^{x -3} \left(3-x \right)}{4}-\frac{35 \,{\mathrm e}^{x -3}}{4}+5 \,{\mathrm e}^{x -3} \ln \left(2\right)$&$39$\\ default&$\frac{5 \,{\mathrm e}^{x -3} \left(3-x \right)}{4}-\frac{35 \,{\mathrm e}^{x -3}}{4}+5 \,{\mathrm e}^{x -3} \ln \left(2\right)$&$39$\\ meijerg&$\frac{25 \,{\mathrm e}^{-x \,{\mathrm e}^{-3}+x} \left(1-{\mathrm e}^{x \,{\mathrm e}^{-3}}\right)}{4}-5 \,{\mathrm e}^{-x \,{\mathrm e}^{-3}+x} \ln \left(2\right) \left(1-{\mathrm e}^{x \,{\mathrm e}^{-3}}\right)-\frac{5 \,{\mathrm e}^{-x \,{\mathrm e}^{-3}+x +3} \left(1-\frac{\left(-2 x \,{\mathrm e}^{-3}+2\right) {\mathrm e}^{x \,{\mathrm e}^{-3}}}{2}\right)}{4}$&$69$\\ \hline \end{longtable}"," ",0,"1/4*(20*ln(2)-20-5*x)*exp(x-3)","A"
3267,1,13,12,0.018000," ","int(1156*x^3*exp(289*x^4)-6*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{289 x^{4}}-3 x^{2}$&$13$\\ norman&${\mathrm e}^{289 x^{4}}-3 x^{2}$&$13$\\ risch&${\mathrm e}^{289 x^{4}}-3 x^{2}$&$13$\\ \hline \end{longtable}"," ",0,"exp(289*x^4)-3*x^2","A"
3268,1,12,13,0.058000," ","int(((-3*x-9)*ln(x)+3)/exp(x)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 \ln \left(x \right) {\mathrm e}^{-x}}{x^{3}}$&$12$\\ risch&$\frac{3 \ln \left(x \right) {\mathrm e}^{-x}}{x^{3}}$&$12$\\ \hline \end{longtable}"," ",0,"3*ln(x)/x^3/exp(x)","A"
3269,1,16,13,0.019000," ","int((72*x*ln(x)-72*x^2-36*x)/(49*ln(x)^2-196*x*ln(x)+196*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{36 x^{2}}{49 \left(2 x -\ln \left(x \right)\right)}$&$16$\\ risch&$-\frac{36 x^{2}}{49 \left(2 x -\ln \left(x \right)\right)}$&$16$\\ \hline \end{longtable}"," ",0,"-36/49*x^2/(2*x-ln(x))","A"
3270,1,21,20,0.016000," ","int(1/2*(2*ln(2)+(2*x-12)*ln(3))/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(x \ln \left(3\right)+2 \ln \left(2\right)-12 \ln \left(3\right)\right)}{2 \ln \left(2\right)}$&$21$\\ default&$\frac{2 x \ln \left(2\right)+\ln \left(3\right) \left(x^{2}-12 x \right)}{2 \ln \left(2\right)}$&$23$\\ risch&$\frac{\ln \left(3\right) x^{2}}{2 \ln \left(2\right)}+x -\frac{6 x \ln \left(3\right)}{\ln \left(2\right)}$&$23$\\ norman&$\frac{\left(\ln \left(2\right)-6 \ln \left(3\right)\right) x}{\ln \left(2\right)}+\frac{\ln \left(3\right) x^{2}}{2 \ln \left(2\right)}$&$26$\\ \hline \end{longtable}"," ",0,"1/2*x*(x*ln(3)+2*ln(2)-12*ln(3))/ln(2)","A"
3271,1,16,15,0.041000," ","int((exp(2*x*exp(exp(x))+x)^2+(-4*exp(x)*x^2-4*x)*exp(exp(x))+1-2*x)/exp(2*x*exp(exp(x))+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +x \,{\mathrm e}^{-2 x \left(2 \,{\mathrm e}^{{\mathrm e}^{x}}+1\right)}$&$16$\\ \hline \end{longtable}"," ",0,"x+x*exp(-2*x*(2*exp(exp(x))+1))","A"
3272,1,26,27,0.059000," ","int((((-12*x^2+60*x)*ln(5-x)+(-12*x^2+60*x)*exp(x))*ln(ln(5-x)+exp(x))+((12*x^2-12*x-240)*exp(4/x)+12*x^2-60*x)*ln(5-x)+((12*x^2-12*x-240)*exp(4/x)+12*x^3-48*x^2-60*x)*exp(x)+12*x^2)/(((x^2-5*x)*ln(5-x)+(x^2-5*x)*exp(x))*ln(ln(5-x)+exp(x))^2+(((-2*x^2+10*x)*exp(4/x)-2*x^2+10*x)*ln(5-x)+((-2*x^2+10*x)*exp(4/x)-2*x^2+10*x)*exp(x))*ln(ln(5-x)+exp(x))+((x^2-5*x)*exp(4/x)^2+(2*x^2-10*x)*exp(4/x)+x^2-5*x)*ln(5-x)+((x^2-5*x)*exp(4/x)^2+(2*x^2-10*x)*exp(4/x)+x^2-5*x)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{12 x}{{\mathrm e}^{\frac{4}{x}}-\ln \left(\ln \left(5-x \right)+{\mathrm e}^{x}\right)+1}$&$26$\\ \hline \end{longtable}"," ",0,"12*x/(exp(4/x)-ln(ln(5-x)+exp(x))+1)","A"
3273,1,43,26,0.023000," ","int(1/390625*(-3125000*x^16+3750000*x^14-4875000*x^12+1600000*x^10+390625*x^9-64000*x^6+7800*x^4-240*x^2+8)/x^9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{8}+\frac{8 x^{6}}{5}-\frac{78 x^{4}}{25}+\frac{256 x^{2}}{125}+x -\frac{1}{390625 x^{8}}+\frac{8}{78125 x^{6}}+\frac{256}{3125 x^{2}}-\frac{78}{15625 x^{4}}$&$43$\\ norman&$\frac{-\frac{1}{390625}+x^{9}+\frac{8}{78125} x^{2}-\frac{78}{15625} x^{4}+\frac{256}{3125} x^{6}+\frac{256}{125} x^{10}-\frac{78}{25} x^{12}+\frac{8}{5} x^{14}-x^{16}}{x^{8}}$&$45$\\ risch&$-x^{8}+\frac{8 x^{6}}{5}-\frac{78 x^{4}}{25}+\frac{256 x^{2}}{125}+x +\frac{32000 x^{6}-1950 x^{4}+40 x^{2}-1}{390625 x^{8}}$&$45$\\ gosper&$-\frac{390625 x^{16}-625000 x^{14}+1218750 x^{12}-800000 x^{10}-390625 x^{9}-32000 x^{6}+1950 x^{4}-40 x^{2}+1}{390625 x^{8}}$&$48$\\ \hline \end{longtable}"," ",0,"-x^8+8/5*x^6-78/25*x^4+256/125*x^2+x-1/390625/x^8+8/78125/x^6+256/3125/x^2-78/15625/x^4","A"
3274,1,83,30,0.717000," ","int(((-10*x*ln(x)^2+(-10*x-10)*ln(x)-10*x-10)*exp(3/exp(exp(5)))^2+(-20*x*ln(x)^2+(-20*x-20)*ln(x)-20*x-20)*exp(3/exp(exp(5)))-10*x*ln(x)^2+(-10*x-10)*ln(x)-10*x-10)/((x^4*ln(x)^4+4*x^3*ln(x)^3+(2*x^4+6*x^2)*ln(x)^2+(4*x^3+4*x)*ln(x)+x^4+2*x^2+1)*exp(3/exp(exp(5)))^2+(2*x^4*ln(x)^4+8*x^3*ln(x)^3+(4*x^4+22*x^2)*ln(x)^2+(8*x^3+28*x)*ln(x)+2*x^4+14*x^2+12)*exp(3/exp(exp(5)))+x^4*ln(x)^4+4*x^3*ln(x)^3+(2*x^4+16*x^2)*ln(x)^2+(4*x^3+24*x)*ln(x)+x^4+12*x^2+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 \,{\mathrm e}^{3 \,{\mathrm e}^{-{\mathrm e}^{5}}}+5}{\ln \left(x \right)^{2} {\mathrm e}^{3 \,{\mathrm e}^{-{\mathrm e}^{5}}} x^{2}+{\mathrm e}^{3 \,{\mathrm e}^{-{\mathrm e}^{5}}} x^{2}+2 \ln \left(x \right) {\mathrm e}^{3 \,{\mathrm e}^{-{\mathrm e}^{5}}} x +x^{2} \ln \left(x \right)^{2}+{\mathrm e}^{3 \,{\mathrm e}^{-{\mathrm e}^{5}}}+x^{2}+2 x \ln \left(x \right)+6}$&$83$\\ risch&$\frac{5 \,{\mathrm e}^{3 \,{\mathrm e}^{-{\mathrm e}^{5}}}}{\ln \left(x \right)^{2} {\mathrm e}^{3 \,{\mathrm e}^{-{\mathrm e}^{5}}} x^{2}+{\mathrm e}^{3 \,{\mathrm e}^{-{\mathrm e}^{5}}} x^{2}+2 \ln \left(x \right) {\mathrm e}^{3 \,{\mathrm e}^{-{\mathrm e}^{5}}} x +x^{2} \ln \left(x \right)^{2}+{\mathrm e}^{3 \,{\mathrm e}^{-{\mathrm e}^{5}}}+x^{2}+2 x \ln \left(x \right)+6}+\frac{5}{\ln \left(x \right)^{2} {\mathrm e}^{3 \,{\mathrm e}^{-{\mathrm e}^{5}}} x^{2}+{\mathrm e}^{3 \,{\mathrm e}^{-{\mathrm e}^{5}}} x^{2}+2 \ln \left(x \right) {\mathrm e}^{3 \,{\mathrm e}^{-{\mathrm e}^{5}}} x +x^{2} \ln \left(x \right)^{2}+{\mathrm e}^{3 \,{\mathrm e}^{-{\mathrm e}^{5}}}+x^{2}+2 x \ln \left(x \right)+6}$&$152$\\ \hline \end{longtable}"," ",0,"(5*exp(1/exp(exp(5)))^3+5)/(ln(x)^2*exp(3/exp(exp(5)))*x^2+x^2*ln(x)^2+2*ln(x)*exp(3/exp(exp(5)))*x+exp(3/exp(exp(5)))*x^2+2*x*ln(x)+x^2+exp(3/exp(exp(5)))+6)","B"
3275,1,35,24,0.053000," ","int(((((-2*x^3-2*x^2)*exp(4)*exp(x^2)+(-x^2-x)*exp(4))*ln(x+1)+x*exp(4)*exp(x^2)+x^2*exp(4))*ln(3*x)+((x+1)*exp(4)*exp(x^2)+(x^2+x)*exp(4))*ln(x+1)+(-2*x^5-2*x^4+2*x^3+2*x^2)*exp(4)*exp(x^2)+(x^4+x^3)*exp(4))/((x^2+x)*exp(x^2)^2+(2*x^3+2*x^2)*exp(x^2)+x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{4} \ln \left(3 x \right) \ln \left(x +1\right)}{{\mathrm e}^{x^{2}}+x}+\frac{x^{2} {\mathrm e}^{4}}{{\mathrm e}^{x^{2}}+x}$&$35$\\ \hline \end{longtable}"," ",0,"exp(4)/(exp(x^2)+x)*ln(3*x)*ln(x+1)+x^2*exp(4)/(exp(x^2)+x)","A"
3276,1,21,21,0.465000," ","int(((15*x^2+705*x-1125)*exp(3/x)-5*x^2-250*x-3125)/(x^2+50*x+625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x +\frac{15 x^{2} {\mathrm e}^{\frac{3}{x}}}{x +25}$&$21$\\ norman&$\frac{-5 x^{2}+15 x^{2} {\mathrm e}^{\frac{3}{x}}+3125}{x +25}$&$25$\\ derivativedivides&$-5 x -\frac{45 \,{\mathrm e}^{\frac{3}{x}}}{\frac{3}{x}+\frac{3}{25}}+15 x \,{\mathrm e}^{\frac{3}{x}}$&$31$\\ default&$-5 x -\frac{45 \,{\mathrm e}^{\frac{3}{x}}}{\frac{3}{x}+\frac{3}{25}}+15 x \,{\mathrm e}^{\frac{3}{x}}$&$31$\\ \hline \end{longtable}"," ",0,"-5*x+15*x^2*exp(3/x)/(x+25)","A"
3277,1,235,31,0.142000," ","int(((8*x^3-40*x)*ln((x^4-10*x^2+25)*exp(7/x))-12*x^4-16*x^3+88*x^2-140)/((x^2-5)*ln((x^4-10*x^2+25)*exp(7/x))^2+(-2*x^4-6*x^3+10*x^2+30*x)*ln((x^4-10*x^2+25)*exp(7/x))+x^6+6*x^5+4*x^4-30*x^3-45*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{8 x^{2}}{i \pi  \mathrm{csgn}\left(i \left(x^{2}-5\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}-5\right)^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i \left(x^{2}-5\right)\right) \mathrm{csgn}\left(i \left(x^{2}-5\right)^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i \left(x^{2}-5\right)^{2}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i \left(x^{2}-5\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{7}{x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{7}{x}} \left(x^{2}-5\right)^{2}\right)-i \pi  \,\mathrm{csgn}\left(i \left(x^{2}-5\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{7}{x}} \left(x^{2}-5\right)^{2}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{7}{x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{7}{x}} \left(x^{2}-5\right)^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{\frac{7}{x}} \left(x^{2}-5\right)^{2}\right)^{3}+2 x^{2}+6 x -4 \ln \left(x^{2}-5\right)-2 \ln \left({\mathrm e}^{\frac{7}{x}}\right)}$&$235$\\ \hline \end{longtable}"," ",0,"-8*x^2/(I*Pi*csgn(I*(x^2-5))^2*csgn(I*(x^2-5)^2)-2*I*Pi*csgn(I*(x^2-5))*csgn(I*(x^2-5)^2)^2+I*Pi*csgn(I*(x^2-5)^2)^3+I*Pi*csgn(I*(x^2-5)^2)*csgn(I*exp(7/x))*csgn(I*exp(7/x)*(x^2-5)^2)-I*Pi*csgn(I*(x^2-5)^2)*csgn(I*exp(7/x)*(x^2-5)^2)^2-I*Pi*csgn(I*exp(7/x))*csgn(I*exp(7/x)*(x^2-5)^2)^2+I*Pi*csgn(I*exp(7/x)*(x^2-5)^2)^3+2*x^2+6*x-4*ln(x^2-5)-2*ln(exp(7/x)))","C"
3278,1,27,20,0.120000," ","int(((ln(3/16)+I*Pi+x)*exp((ln(3/16)+I*Pi)/x)+exp(x)*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{x} x^{2}-{\mathrm e}^{\frac{\ln \left(\frac{3}{16}\right)+i \pi}{x}} x}{x^{2}}$&$27$\\ risch&${\mathrm e}^{x}-\frac{3^{\frac{1}{x}} \left(\frac{1}{16}\right)^{\frac{1}{x}} {\mathrm e}^{\frac{i \pi}{x}}}{x}$&$27$\\ meijerg&$-\frac{1-{\mathrm e}^{-\frac{-\ln \left(\frac{3}{16}\right)-i \pi}{x}}}{-\ln \left(\frac{3}{16}\right)-i \pi}-\frac{\left(\ln \left(\frac{3}{16}\right)+i \pi \right) \left(1-\frac{\left(\frac{-2 \ln \left(\frac{3}{16}\right)-2 i \pi}{x}+2\right) {\mathrm e}^{-\frac{-\ln \left(\frac{3}{16}\right)-i \pi}{x}}}{2}\right)}{\left(-\ln \left(\frac{3}{16}\right)-i \pi \right)^{2}}-1+{\mathrm e}^{x}$&$92$\\ \hline \end{longtable}"," ",0,"(exp(x)*x^2-exp((ln(3/16)+I*Pi)/x)*x)/x^2","A"
3279,1,20,21,0.104000," ","int(((-48*x^2+2*x+1)*exp(2*x+10)+(-48*x^2+1)*exp(1)-48*x^3+2*x)/(x*exp(2*x+10)+x*exp(1)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-24 x^{2}+\ln \left(x \right)+\ln \left({\mathrm e}^{2 x +10}+x +{\mathrm e}\right)$&$20$\\ risch&$-24 x^{2}+\ln \left(x \right)-10+\ln \left({\mathrm e}^{2 x +10}+x +{\mathrm e}\right)$&$21$\\ \hline \end{longtable}"," ",0,"-24*x^2+ln(x)+ln(exp(2*x+10)+x+exp(1))","A"
3280,0,0,31,0.312000," ","int(((4*exp(3)-4*x^2+80*x-396)*exp(x)^5+((-16*x^2+16*x)*exp(3)+16*x^4-336*x^3+1904*x^2-1584*x)*exp(x)^4+((24*x^4-48*x^3+24*x^2)*exp(3)-24*x^6+528*x^5-3360*x^4+5232*x^3-2376*x^2-48)*exp(x)^3+((-16*x^6+48*x^5-48*x^4+16*x^3)*exp(3)+16*x^8-368*x^7+2592*x^6-5728*x^5+5072*x^4-1584*x^3+64*x^2-32)*exp(x)^2+((4*x^8-16*x^7+24*x^6-16*x^5+4*x^4)*exp(3)-4*x^10+96*x^9-740*x^8+2080*x^7-2700*x^6+1664*x^5-412*x^4-32*x^3+80*x^2-32*x)*exp(x))/((exp(3)^2+(-2*x^2+36*x-162)*exp(3)+x^4-36*x^3+486*x^2-2916*x+6561)*exp(x)^4+((-4*x^2+4*x)*exp(3)^2+(8*x^4-152*x^3+792*x^2-648*x)*exp(3)-4*x^6+148*x^5-2088*x^4+13608*x^3-37908*x^2+26244*x)*exp(x)^3+((6*x^4-12*x^3+6*x^2)*exp(3)^2+(-12*x^6+240*x^5-1416*x^4+2160*x^3-972*x^2-8)*exp(3)+6*x^8-228*x^7+3354*x^6-23544*x^5+77274*x^4-96228*x^3+39374*x^2-144*x+648)*exp(x)^2+((-4*x^6+12*x^5-12*x^4+4*x^3)*exp(3)^2+(8*x^8-168*x^7+1104*x^6-2384*x^5+2088*x^4-648*x^3+16*x^2-16*x)*exp(3)-4*x^10+156*x^9-2388*x^8+17932*x^7-67212*x^6+115668*x^5-90412*x^4+26548*x^3-1584*x^2+1296*x)*exp(x)+(x^8-4*x^7+6*x^6-4*x^5+x^4)*exp(3)^2+(-2*x^10+44*x^9-318*x^8+872*x^7-1118*x^6+684*x^5-170*x^4+16*x^3-8*x^2)*exp(3)+x^12-40*x^11+636*x^10-5080*x^9+21286*x^8-45720*x^7+51524*x^6-29320*x^5+7505*x^4-1440*x^3+648*x^2+16),x)","\[\int \frac{\left(4 \,{\mathrm e}^{3}-4 x^{2}+80 x -396\right) {\mathrm e}^{5 x}+\left(\left(-16 x^{2}+16 x \right) {\mathrm e}^{3}+16 x^{4}-336 x^{3}+1904 x^{2}-1584 x \right) {\mathrm e}^{4 x}+\left(\left(24 x^{4}-48 x^{3}+24 x^{2}\right) {\mathrm e}^{3}-24 x^{6}+528 x^{5}-3360 x^{4}+5232 x^{3}-2376 x^{2}-48\right) {\mathrm e}^{3 x}+\left(\left(-16 x^{6}+48 x^{5}-48 x^{4}+16 x^{3}\right) {\mathrm e}^{3}+16 x^{8}-368 x^{7}+2592 x^{6}-5728 x^{5}+5072 x^{4}-1584 x^{3}+64 x^{2}-32\right) {\mathrm e}^{2 x}+\left(\left(4 x^{8}-16 x^{7}+24 x^{6}-16 x^{5}+4 x^{4}\right) {\mathrm e}^{3}-4 x^{10}+96 x^{9}-740 x^{8}+2080 x^{7}-2700 x^{6}+1664 x^{5}-412 x^{4}-32 x^{3}+80 x^{2}-32 x \right) {\mathrm e}^{x}}{\left({\mathrm e}^{6}+\left(-2 x^{2}+36 x -162\right) {\mathrm e}^{3}+x^{4}-36 x^{3}+486 x^{2}-2916 x +6561\right) {\mathrm e}^{4 x}+\left(\left(-4 x^{2}+4 x \right) {\mathrm e}^{6}+\left(8 x^{4}-152 x^{3}+792 x^{2}-648 x \right) {\mathrm e}^{3}-4 x^{6}+148 x^{5}-2088 x^{4}+13608 x^{3}-37908 x^{2}+26244 x \right) {\mathrm e}^{3 x}+\left(\left(6 x^{4}-12 x^{3}+6 x^{2}\right) {\mathrm e}^{6}+\left(-12 x^{6}+240 x^{5}-1416 x^{4}+2160 x^{3}-972 x^{2}-8\right) {\mathrm e}^{3}+6 x^{8}-228 x^{7}+3354 x^{6}-23544 x^{5}+77274 x^{4}-96228 x^{3}+39374 x^{2}-144 x +648\right) {\mathrm e}^{2 x}+\left(\left(-4 x^{6}+12 x^{5}-12 x^{4}+4 x^{3}\right) {\mathrm e}^{6}+\left(8 x^{8}-168 x^{7}+1104 x^{6}-2384 x^{5}+2088 x^{4}-648 x^{3}+16 x^{2}-16 x \right) {\mathrm e}^{3}-4 x^{10}+156 x^{9}-2388 x^{8}+17932 x^{7}-67212 x^{6}+115668 x^{5}-90412 x^{4}+26548 x^{3}-1584 x^{2}+1296 x \right) {\mathrm e}^{x}+\left(x^{8}-4 x^{7}+6 x^{6}-4 x^{5}+x^{4}\right) {\mathrm e}^{6}+\left(-2 x^{10}+44 x^{9}-318 x^{8}+872 x^{7}-1118 x^{6}+684 x^{5}-170 x^{4}+16 x^{3}-8 x^{2}\right) {\mathrm e}^{3}+x^{12}-40 x^{11}+636 x^{10}-5080 x^{9}+21286 x^{8}-45720 x^{7}+51524 x^{6}-29320 x^{5}+7505 x^{4}-1440 x^{3}+648 x^{2}+16}\, dx\]"," ",0,"int(((4*exp(3)-4*x^2+80*x-396)*exp(x)^5+((-16*x^2+16*x)*exp(3)+16*x^4-336*x^3+1904*x^2-1584*x)*exp(x)^4+((24*x^4-48*x^3+24*x^2)*exp(3)-24*x^6+528*x^5-3360*x^4+5232*x^3-2376*x^2-48)*exp(x)^3+((-16*x^6+48*x^5-48*x^4+16*x^3)*exp(3)+16*x^8-368*x^7+2592*x^6-5728*x^5+5072*x^4-1584*x^3+64*x^2-32)*exp(x)^2+((4*x^8-16*x^7+24*x^6-16*x^5+4*x^4)*exp(3)-4*x^10+96*x^9-740*x^8+2080*x^7-2700*x^6+1664*x^5-412*x^4-32*x^3+80*x^2-32*x)*exp(x))/((exp(3)^2+(-2*x^2+36*x-162)*exp(3)+x^4-36*x^3+486*x^2-2916*x+6561)*exp(x)^4+((-4*x^2+4*x)*exp(3)^2+(8*x^4-152*x^3+792*x^2-648*x)*exp(3)-4*x^6+148*x^5-2088*x^4+13608*x^3-37908*x^2+26244*x)*exp(x)^3+((6*x^4-12*x^3+6*x^2)*exp(3)^2+(-12*x^6+240*x^5-1416*x^4+2160*x^3-972*x^2-8)*exp(3)+6*x^8-228*x^7+3354*x^6-23544*x^5+77274*x^4-96228*x^3+39374*x^2-144*x+648)*exp(x)^2+((-4*x^6+12*x^5-12*x^4+4*x^3)*exp(3)^2+(8*x^8-168*x^7+1104*x^6-2384*x^5+2088*x^4-648*x^3+16*x^2-16*x)*exp(3)-4*x^10+156*x^9-2388*x^8+17932*x^7-67212*x^6+115668*x^5-90412*x^4+26548*x^3-1584*x^2+1296*x)*exp(x)+(x^8-4*x^7+6*x^6-4*x^5+x^4)*exp(3)^2+(-2*x^10+44*x^9-318*x^8+872*x^7-1118*x^6+684*x^5-170*x^4+16*x^3-8*x^2)*exp(3)+x^12-40*x^11+636*x^10-5080*x^9+21286*x^8-45720*x^7+51524*x^6-29320*x^5+7505*x^4-1440*x^3+648*x^2+16),x)","F"
3281,1,30,24,0.045000," ","int(((-4*x^2-2*x)*exp(x)^2+(-12*x^2-12*x)*exp(x)+(x-3)*exp(3/x)+6*x^2-17*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \,{\mathrm e}^{\frac{3}{x}}-17 x +3 x^{2}-2 x \,{\mathrm e}^{2 x}-12 \,{\mathrm e}^{x} x$&$30$\\ norman&$x \,{\mathrm e}^{\frac{3}{x}}-17 x +3 x^{2}-2 x \,{\mathrm e}^{2 x}-12 \,{\mathrm e}^{x} x$&$30$\\ risch&$x \,{\mathrm e}^{\frac{3}{x}}-17 x +3 x^{2}-2 x \,{\mathrm e}^{2 x}-12 \,{\mathrm e}^{x} x$&$30$\\ \hline \end{longtable}"," ",0,"-17*x+exp(1/x)^3*x+3*x^2-2*x*exp(x)^2-12*exp(x)*x","A"
3282,1,27,28,0.039000," ","int((36*exp(2)*x+2*x^5+9*x^4-60*x^3-432*x^2-774*x-405)/(2*x^4-60*x^2+450),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{2}+\frac{9 x}{2}+\frac{81 x +306-9 \,{\mathrm e}^{2}}{x^{2}-15}$&$27$\\ default&$\frac{x^{2}}{2}+\frac{9 x}{2}+\frac{81 x +306-9 \,{\mathrm e}^{2}}{x^{2}-15}$&$28$\\ norman&$\frac{\frac{27 x}{2}+\frac{9 x^{3}}{2}+\frac{x^{4}}{2}+\frac{387}{2}-9 \,{\mathrm e}^{2}}{x^{2}-15}$&$28$\\ gosper&$-\frac{-x^{4}-9 x^{3}+18 \,{\mathrm e}^{2}-27 x -387}{2 \left(x^{2}-15\right)}$&$29$\\ \hline \end{longtable}"," ",0,"1/2*x^2+9/2*x+(81*x+306-9*exp(2))/(x^2-15)","A"
3283,0,0,30,0.025000," ","int((((10*x^2-40*x-10)*ln(25*x^2/(4*x^4-32*x^3+56*x^2+32*x+4))+2*x^4-8*x^3-2*x^2)*ln(ln(25*x^2/(4*x^4-32*x^3+56*x^2+32*x+4))+1/5*x^2)-4*x^4+16*x^3+24*x^2+20)/((5*x^2-20*x-5)*ln(25*x^2/(4*x^4-32*x^3+56*x^2+32*x+4))+x^4-4*x^3-x^2)/ln(ln(25*x^2/(4*x^4-32*x^3+56*x^2+32*x+4))+1/5*x^2)^2,x)","\[\int \frac{\left(\left(10 x^{2}-40 x -10\right) \ln \left(\frac{25 x^{2}}{4 x^{4}-32 x^{3}+56 x^{2}+32 x +4}\right)+2 x^{4}-8 x^{3}-2 x^{2}\right) \ln \left(\ln \left(\frac{25 x^{2}}{4 x^{4}-32 x^{3}+56 x^{2}+32 x +4}\right)+\frac{x^{2}}{5}\right)-4 x^{4}+16 x^{3}+24 x^{2}+20}{\left(\left(5 x^{2}-20 x -5\right) \ln \left(\frac{25 x^{2}}{4 x^{4}-32 x^{3}+56 x^{2}+32 x +4}\right)+x^{4}-4 x^{3}-x^{2}\right) \ln \left(\ln \left(\frac{25 x^{2}}{4 x^{4}-32 x^{3}+56 x^{2}+32 x +4}\right)+\frac{x^{2}}{5}\right)^{2}}\, dx\]"," ",0,"int((((10*x^2-40*x-10)*ln(25*x^2/(4*x^4-32*x^3+56*x^2+32*x+4))+2*x^4-8*x^3-2*x^2)*ln(ln(25*x^2/(4*x^4-32*x^3+56*x^2+32*x+4))+1/5*x^2)-4*x^4+16*x^3+24*x^2+20)/((5*x^2-20*x-5)*ln(25*x^2/(4*x^4-32*x^3+56*x^2+32*x+4))+x^4-4*x^3-x^2)/ln(ln(25*x^2/(4*x^4-32*x^3+56*x^2+32*x+4))+1/5*x^2)^2,x)","F"
3284,1,17,18,0.454000," ","int(((-16*x-48)*exp(2/x^4)^2*ln(2*x+6)*ln(ln(2*x+6))-x^5*exp(2/x^4)^2)/(x^6+3*x^5)/ln(2*x+6)/ln(ln(2*x+6))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{4}{x^{4}}}}{\ln \left(\ln \left(2 x +6\right)\right)}$&$17$\\ \hline \end{longtable}"," ",0,"exp(4/x^4)/ln(ln(2*x+6))","A"
3285,1,18,17,0.025000," ","int(1/2*exp(-x+exp(3))+4*exp(x)-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{{\mathrm e}^{-x +{\mathrm e}^{3}}}{2}-2 x +4 \,{\mathrm e}^{x}$&$18$\\ risch&$-\frac{{\mathrm e}^{-x +{\mathrm e}^{3}}}{2}-2 x +4 \,{\mathrm e}^{x}$&$18$\\ norman&$\left(4 \,{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} x -\frac{{\mathrm e}^{{\mathrm e}^{3}}}{2}\right) {\mathrm e}^{-x}$&$23$\\ \hline \end{longtable}"," ",0,"-1/2*exp(-x+exp(3))-2*x+4*exp(x)","A"
3286,0,0,25,0.106000," ","int(((-2*exp(2)+2)*exp(x)^3+(2*exp(2)-2)*exp(x)^2+((1-2*x)*exp(2)+2*x-1)*exp(x)+(2*x^2-x)*exp(2)-2*x^2-3*x+2)*exp(x/exp(x)^2)/((exp(2)^3-3*exp(2)^2+3*exp(2)-1)*exp(x)^5+(-3*x*exp(2)^3+(9*x+6)*exp(2)^2+(-9*x-12)*exp(2)+6+3*x)*exp(x)^4+(3*x^2*exp(2)^3+(-9*x^2-12*x)*exp(2)^2+(9*x^2+24*x+12)*exp(2)-3*x^2-12*x-12)*exp(x)^3+(-x^3*exp(2)^3+(3*x^3+6*x^2)*exp(2)^2+(-3*x^3-12*x^2-12*x)*exp(2)+x^3+6*x^2+12*x+8)*exp(x)^2),x)","\[\int \frac{\left(\left(-2 \,{\mathrm e}^{2}+2\right) {\mathrm e}^{3 x}+\left(2 \,{\mathrm e}^{2}-2\right) {\mathrm e}^{2 x}+\left(\left(1-2 x \right) {\mathrm e}^{2}+2 x -1\right) {\mathrm e}^{x}+\left(2 x^{2}-x \right) {\mathrm e}^{2}-2 x^{2}-3 x +2\right) {\mathrm e}^{x \,{\mathrm e}^{-2 x}}}{\left({\mathrm e}^{6}-3 \,{\mathrm e}^{4}+3 \,{\mathrm e}^{2}-1\right) {\mathrm e}^{5 x}+\left(-3 x \,{\mathrm e}^{6}+\left(9 x +6\right) {\mathrm e}^{4}+\left(-9 x -12\right) {\mathrm e}^{2}+6+3 x \right) {\mathrm e}^{4 x}+\left(3 x^{2} {\mathrm e}^{6}+\left(-9 x^{2}-12 x \right) {\mathrm e}^{4}+\left(9 x^{2}+24 x +12\right) {\mathrm e}^{2}-3 x^{2}-12 x -12\right) {\mathrm e}^{3 x}+\left(-x^{3} {\mathrm e}^{6}+\left(3 x^{3}+6 x^{2}\right) {\mathrm e}^{4}+\left(-3 x^{3}-12 x^{2}-12 x \right) {\mathrm e}^{2}+x^{3}+6 x^{2}+12 x +8\right) {\mathrm e}^{2 x}}\, dx\]"," ",0,"int(((-2*exp(2)+2)*exp(x)^3+(2*exp(2)-2)*exp(x)^2+((1-2*x)*exp(2)+2*x-1)*exp(x)+(2*x^2-x)*exp(2)-2*x^2-3*x+2)*exp(x/exp(x)^2)/((exp(2)^3-3*exp(2)^2+3*exp(2)-1)*exp(x)^5+(-3*x*exp(2)^3+(9*x+6)*exp(2)^2+(-9*x-12)*exp(2)+6+3*x)*exp(x)^4+(3*x^2*exp(2)^3+(-9*x^2-12*x)*exp(2)^2+(9*x^2+24*x+12)*exp(2)-3*x^2-12*x-12)*exp(x)^3+(-x^3*exp(2)^3+(3*x^3+6*x^2)*exp(2)^2+(-3*x^3-12*x^2-12*x)*exp(2)+x^3+6*x^2+12*x+8)*exp(x)^2),x)","F"
3287,1,52,29,0.100000," ","int(1/4*((-x*ln(3)-x^3+3*x^2-13*x)*ln(x)-12*exp(x)+(x*exp(3)+1)*ln(3)+(x^3-3*x^2+13*x)*exp(3)+x^2-x+12)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\left(x \,{\mathrm e}^{3}+x^{2} \ln \left(x \right)+\left(\ln \left(3\right)+12\right) \ln \left(x \right)-x \ln \left(x \right)-x^{2} {\mathrm e}^{3}-12 \,{\mathrm e}^{3}-{\mathrm e}^{3} \ln \left(3\right)\right) {\mathrm e}^{-x}}{4}-3 \ln \left(x \right)$&$52$\\ risch&$\frac{\left(x^{2}+\ln \left(3\right)-x +12\right) {\mathrm e}^{-x} \ln \left(x \right)}{4}-\frac{\left(x^{2} {\mathrm e}^{3}+12 \,{\mathrm e}^{x} \ln \left(x \right)+{\mathrm e}^{3} \ln \left(3\right)-x \,{\mathrm e}^{3}+12 \,{\mathrm e}^{3}\right) {\mathrm e}^{-x}}{4}$&$53$\\ norman&$\left(\left(\frac{\ln \left(3\right)}{4}+3\right) \ln \left(x \right)-3 \,{\mathrm e}^{x} \ln \left(x \right)+\frac{x \,{\mathrm e}^{3}}{4}-\frac{x \ln \left(x \right)}{4}-\frac{x^{2} {\mathrm e}^{3}}{4}+\frac{x^{2} \ln \left(x \right)}{4}-3 \,{\mathrm e}^{3}-\frac{{\mathrm e}^{3} \ln \left(3\right)}{4}\right) {\mathrm e}^{-x}$&$56$\\ \hline \end{longtable}"," ",0,"1/4*(x*exp(3)+x^2*ln(x)+(ln(3)+12)*ln(x)-x*ln(x)-x^2*exp(3)-12*exp(3)-exp(3)*ln(3))/exp(x)-3*ln(x)","A"
3288,1,23,24,0.507000," ","int((18*x^4-27*x^3-18*x^2-7*x+25)/(9*x^3-9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-x -\ln \left(x -1\right)+\frac{25}{9 x}-2 \ln \left(x \right)$&$23$\\ risch&$x^{2}-x -\ln \left(x -1\right)+\frac{25}{9 x}-2 \ln \left(x \right)$&$23$\\ norman&$\frac{\frac{25}{9}+x^{3}-x^{2}}{x}-2 \ln \left(x \right)-\ln \left(x -1\right)$&$26$\\ meijerg&$\frac{25}{9 x}-2 \ln \left(x \right)-2 i \pi -\ln \left(1-x \right)+\frac{x \left(6+3 x \right)}{3}-3 x$&$34$\\ \hline \end{longtable}"," ",0,"x^2-x-ln(x-1)+25/9/x-2*ln(x)","A"
3289,1,22,25,0.028000," ","int(1/5*(10*exp(x)*x^2+x^3-19*x^2+36*x+36)/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\frac{\left(x^{2}-18 x +36\right) {\mathrm e}^{-x}}{5 x}$&$22$\\ norman&$\frac{\left(-\frac{36}{5}+\frac{18 x}{5}-\frac{x^{2}}{5}+2 \,{\mathrm e}^{x} x^{2}\right) {\mathrm e}^{-x}}{x}$&$26$\\ default&$2 x -\frac{x \,{\mathrm e}^{-x}}{5}+\frac{18 \,{\mathrm e}^{-x}}{5}-\frac{36 \,{\mathrm e}^{-x}}{5 x}$&$27$\\ \hline \end{longtable}"," ",0,"2*x-1/5*(x^2-18*x+36)/x*exp(-x)","A"
3290,1,26,22,0.219000," ","int(((-ln(3)+2*x-4)*ln(x)+((1-x)*ln(3)+x^2-6*x+4)*exp(x)+ln(3)-x^2-x+4)/(2*x^2*ln(3)^2+(-4*x^3+16*x^2)*ln(3)+2*x^4-16*x^3+32*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{x}{2}-\frac{{\mathrm e}^{x}}{2}+\frac{\ln \left(x \right)}{2}}{x \left(4+\ln \left(3\right)-x \right)}$&$26$\\ default&$\frac{\ln \left(x \right)}{2 \left(\ln \left(3\right)+4\right)^{2}}+\frac{1}{2 x -8-2 \ln \left(3\right)}-\frac{\ln \left(x -4-\ln \left(3\right)\right)}{2 \left(\ln \left(3\right)+4\right)^{2}}+\frac{\ln \left(4+\ln \left(3\right)-x \right)}{2 \left(\ln \left(3\right)+4\right)^{2}}+\frac{\ln \left(x \right) x}{2 \left(\ln \left(3\right)+4\right)^{2} \left(4+\ln \left(3\right)-x \right)}+\frac{\ln \left(x \right)}{2 \left(\ln \left(3\right)+4\right) x}-\frac{\ln \left(3\right) {\mathrm e}^{\ln \left(3\right)+4} \expIntegralEi \left(1, 4+\ln \left(3\right)-x \right)}{\left(\ln \left(3\right)+4\right)^{2}}+\frac{\ln \left(3\right) {\mathrm e}^{x}}{2 \left(\ln \left(3\right)+4\right) \left(x -4-\ln \left(3\right)\right)}+\frac{\ln \left(3\right) {\mathrm e}^{\ln \left(3\right)+4} \expIntegralEi \left(1, 4+\ln \left(3\right)-x \right)}{2 \ln \left(3\right)+8}-\frac{{\mathrm e}^{x}}{2 \left(x -4-\ln \left(3\right)\right)}-\frac{{\mathrm e}^{\ln \left(3\right)+4} \expIntegralEi \left(1, 4+\ln \left(3\right)-x \right)}{2}-\frac{4 \expIntegralEi \left(1, -x \right)}{\left(\ln \left(3\right)+4\right)^{3}}+\frac{4 \,{\mathrm e}^{\ln \left(3\right)+4} \expIntegralEi \left(1, 4+\ln \left(3\right)-x \right)}{\left(\ln \left(3\right)+4\right)^{3}}-\frac{2 \,{\mathrm e}^{x}}{\left(\ln \left(3\right)+4\right)^{2} \left(x -4-\ln \left(3\right)\right)}-\frac{5 \,{\mathrm e}^{\ln \left(3\right)+4} \expIntegralEi \left(1, 4+\ln \left(3\right)-x \right)}{\left(\ln \left(3\right)+4\right)^{2}}-\frac{2 \,{\mathrm e}^{x}}{\left(\ln \left(3\right)+4\right)^{2} x}+\frac{\expIntegralEi \left(1, -x \right)}{\left(\ln \left(3\right)+4\right)^{2}}+\frac{3 \,{\mathrm e}^{x}}{\left(\ln \left(3\right)+4\right) \left(x -4-\ln \left(3\right)\right)}+\frac{3 \,{\mathrm e}^{\ln \left(3\right)+4} \expIntegralEi \left(1, 4+\ln \left(3\right)-x \right)}{\ln \left(3\right)+4}-\frac{\ln \left(3\right) \expIntegralEi \left(1, -x \right)}{\left(\ln \left(3\right)+4\right)^{3}}+\frac{\ln \left(3\right) {\mathrm e}^{\ln \left(3\right)+4} \expIntegralEi \left(1, 4+\ln \left(3\right)-x \right)}{\left(\ln \left(3\right)+4\right)^{3}}-\frac{\ln \left(3\right) {\mathrm e}^{x}}{2 \left(\ln \left(3\right)+4\right)^{2} \left(x -4-\ln \left(3\right)\right)}-\frac{\ln \left(3\right) {\mathrm e}^{x}}{2 \left(\ln \left(3\right)+4\right)^{2} x}$&$402$\\ \hline \end{longtable}"," ",0,"(-1/2*x-1/2*exp(x)+1/2*ln(x))/x/(4+ln(3)-x)","A"
3291,1,12,11,0.033000," ","int(1/2*(2*ln(2)+5+2*x)*exp(2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{2 x} \left(\ln \left(2\right)+2+x \right)}{2}$&$12$\\ risch&$\frac{{\mathrm e}^{2 x} \left(\ln \left(2\right)+2+x \right)}{2}$&$12$\\ norman&$\left(1+\frac{\ln \left(2\right)}{2}\right) {\mathrm e}^{2 x}+\frac{x \,{\mathrm e}^{2 x}}{2}$&$20$\\ derivativedivides&$\frac{x \,{\mathrm e}^{2 x}}{2}+{\mathrm e}^{2 x}+\frac{\ln \left(2\right) {\mathrm e}^{2 x}}{2}$&$21$\\ default&$\frac{x \,{\mathrm e}^{2 x}}{2}+{\mathrm e}^{2 x}+\frac{\ln \left(2\right) {\mathrm e}^{2 x}}{2}$&$21$\\ meijerg&$-1+\frac{5 \,{\mathrm e}^{2 x}}{4}-\frac{\ln \left(2\right) \left(1-{\mathrm e}^{2 x}\right)}{2}-\frac{\left(-4 x +2\right) {\mathrm e}^{2 x}}{8}$&$32$\\ \hline \end{longtable}"," ",0,"1/2*exp(2*x)*(ln(2)+2+x)","A"
3292,1,24,18,0.046000," ","int((-8*exp(1)*ln(1/15*x)^2-56*exp(1)*ln(1/15*x)-92*exp(1))/(x^3*ln(1/15*x)^2+8*x^3*ln(1/15*x)+16*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}}{x^{2}}-\frac{4 \,{\mathrm e}}{x^{2} \left(4+\ln \left(\frac{x}{15}\right)\right)}$&$24$\\ norman&$\frac{4 \,{\mathrm e} \ln \left(\frac{x}{15}\right)+12 \,{\mathrm e}}{x^{2} \left(4+\ln \left(\frac{x}{15}\right)\right)}$&$26$\\ \hline \end{longtable}"," ",0,"4*exp(1)/x^2-4/x^2*exp(1)/(4+ln(1/15*x))","A"
3293,1,7,7,0.011000," ","int((-5*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-5 x$&$7$\\ norman&$\ln \left(x \right)-5 x$&$7$\\ risch&$\ln \left(x \right)-5 x$&$7$\\ \hline \end{longtable}"," ",0,"ln(x)-5*x","A"
3294,1,21,22,0.064000," ","int(((16*x*exp(2*x-2)^2-8*x^2+4)*exp(-exp(2*x-2)^2+x^2)+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{4 \,{\mathrm e}^{-{\mathrm e}^{4 x -4}+x^{2}}}{x}$&$21$\\ norman&$\frac{x^{2}-4 \,{\mathrm e}^{-{\mathrm e}^{4 x -4}+x^{2}}}{x}$&$26$\\ \hline \end{longtable}"," ",0,"x-4*exp(-exp(4*x-4)+x^2)/x","A"
3295,1,28486,25,3.466000," ","int(((-4*x*exp(1/x)^2-2*x)*ln(x/(2*x*exp(1/x)^2+x)^5)+(-20*x+40)*exp(1/x)^2-10*x)*ln((ln(x/(2*x*exp(1/x)^2+x)^5)+1)/x)/((2*x^2*exp(1/x)^2+x^2)*ln(x/(2*x*exp(1/x)^2+x)^5)+2*x^2*exp(1/x)^2+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$28486$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
3296,1,47,23,0.036000," ","int(((3456*x^7-20736*x^6)*ln(x)^3+(2592*x^5-17280*x^4+20736*x^3)*exp(x)*ln(x)^2+((216*x^3-432*x^2)*exp(x)^2+(-1728*x^4+10368*x^3)*exp(x))*ln(x)+2*x*exp(x)^3-144*exp(x)^2*x^2)/(1728*x^6*ln(x)^3+432*x^4*exp(x)*ln(x)^2+36*x^2*exp(x)^2*ln(x)+exp(x)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-12 x +\frac{12 \left(12 x^{3} \ln \left(x \right)-72 x^{2} \ln \left(x \right)+{\mathrm e}^{x} x -3 \,{\mathrm e}^{x}\right) {\mathrm e}^{x}}{\left(12 x^{2} \ln \left(x \right)+{\mathrm e}^{x}\right)^{2}}$&$47$\\ \hline \end{longtable}"," ",0,"x^2-12*x+12*(12*x^3*ln(x)-72*x^2*ln(x)+exp(x)*x-3*exp(x))*exp(x)/(12*x^2*ln(x)+exp(x))^2","A"
3297,1,5,21,0.010000," ","int(2/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x \right)$&$5$\\ norman&$2 \ln \left(x \right)$&$5$\\ risch&$2 \ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"2*ln(x)","A"
3298,1,42,24,0.056000," ","int(((2*x^3-4*x^2-20*x)*exp(4+x)-4*x^3+12*x^2+12*x-5)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-4} x^{4}+4 \,{\mathrm e}^{-4} x^{3}+6 x^{2} {\mathrm e}^{-4}-5 x \,{\mathrm e}^{-4}+\left(2 x^{3}-10 x^{2}\right) {\mathrm e}^{x}$&$42$\\ default&${\mathrm e}^{-4} \left(-5 x +2 \,{\mathrm e}^{4+x} \left(4+x \right)^{3}-34 \,{\mathrm e}^{4+x} \left(4+x \right)^{2}+176 \,{\mathrm e}^{4+x} \left(4+x \right)-288 \,{\mathrm e}^{4+x}+6 x^{2}+4 x^{3}-x^{4}\right)$&$62$\\ norman&$-5 x \,{\mathrm e}^{-4}+6 x^{2} {\mathrm e}^{-4}+4 \,{\mathrm e}^{-4} x^{3}-{\mathrm e}^{-4} x^{4}-10 x^{2} {\mathrm e}^{-4} {\mathrm e}^{4+x}+2 \,{\mathrm e}^{-4} x^{3} {\mathrm e}^{4+x}$&$62$\\ derivativedivides&${\mathrm e}^{-4} \left(-212-53 x +2 \,{\mathrm e}^{4+x} \left(4+x \right)^{3}-34 \,{\mathrm e}^{4+x} \left(4+x \right)^{2}+176 \,{\mathrm e}^{4+x} \left(4+x \right)-288 \,{\mathrm e}^{4+x}+6 \left(4+x \right)^{2}+4 x^{3}-x^{4}\right)$&$65$\\ \hline \end{longtable}"," ",0,"-exp(-4)*x^4+4*exp(-4)*x^3+6*x^2*exp(-4)-5*x*exp(-4)+(2*x^3-10*x^2)*exp(x)","A"
3299,0,0,21,180.000000," ","int((((4*x+4)*exp(x)*ln(x)+(4*x^2-4*x-8)*exp(x))*ln(9*x^2)-16*exp(x)*ln(x)-16*exp(x)*x)/(ln(x)^3+3*x*ln(x)^2+3*x^2*ln(x)+x^3)/ln(9*x^2)^3,x)","\[\int \frac{\left(\left(4 x +4\right) {\mathrm e}^{x} \ln \left(x \right)+\left(4 x^{2}-4 x -8\right) {\mathrm e}^{x}\right) \ln \left(9 x^{2}\right)-16 \,{\mathrm e}^{x} \ln \left(x \right)-16 \,{\mathrm e}^{x} x}{\left(\ln \left(x \right)^{3}+3 x \ln \left(x \right)^{2}+3 x^{2} \ln \left(x \right)+x^{3}\right) \ln \left(9 x^{2}\right)^{3}}\, dx\]"," ",0,"int((((4*x+4)*exp(x)*ln(x)+(4*x^2-4*x-8)*exp(x))*ln(9*x^2)-16*exp(x)*ln(x)-16*exp(x)*x)/(ln(x)^3+3*x*ln(x)^2+3*x^2*ln(x)+x^3)/ln(9*x^2)^3,x)","F"
3300,1,11,10,0.016000," ","int((exp(x)+1)*exp(exp(x)-exp(5)+x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{{\mathrm e}^{x}-{\mathrm e}^{5}+x -2}$&$11$\\ default&${\mathrm e}^{{\mathrm e}^{x}-{\mathrm e}^{5}+x -2}$&$11$\\ norman&${\mathrm e}^{{\mathrm e}^{x}-{\mathrm e}^{5}+x -2}$&$11$\\ risch&${\mathrm e}^{{\mathrm e}^{x}-{\mathrm e}^{5}+x -2}$&$11$\\ \hline \end{longtable}"," ",0,"exp(exp(x)-exp(5)+x-2)","A"
3301,1,37,22,0.056000," ","int((x^2*exp(exp(x))^2+(-2*exp(x)*x-1)*ln(x)^4+4*ln(x)^3+((4*x^2+20*x)*exp(x)+10)*ln(x)^2+(-4*x-20)*ln(x)+(-2*x^3-20*x^2-50*x)*exp(x)+x^2-25)/x^2/exp(exp(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(\ln \left(x \right)^{4}-2 x \ln \left(x \right)^{2}+x^{2}-10 \ln \left(x \right)^{2}+10 x +25\right) {\mathrm e}^{-2 \,{\mathrm e}^{x}}}{x}$&$37$\\ \hline \end{longtable}"," ",0,"x+1/x*(ln(x)^4-2*x*ln(x)^2+x^2-10*ln(x)^2+10*x+25)*exp(-2*exp(x))","A"
3302,1,21,23,0.147000," ","int((2*x*exp(x)^3-6*exp(x)^2*x^2+((-8*x^4+16*x^3)*exp(4)+6*x^3)*exp(x)-8*x^4*exp(4)-2*x^4)/(exp(4)*exp(x)^3-3*x*exp(4)*exp(x)^2+3*x^2*exp(4)*exp(x)-x^3*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{-4}+\frac{4 x^{4}}{\left(x -{\mathrm e}^{x}\right)^{2}}$&$21$\\ norman&$\frac{x^{2} {\mathrm e}^{-4} {\mathrm e}^{2 x}+\left(4 \,{\mathrm e}^{4}+1\right) {\mathrm e}^{-4} x^{4}-2 \,{\mathrm e}^{-4} x^{3} {\mathrm e}^{x}}{\left(x -{\mathrm e}^{x}\right)^{2}}$&$48$\\ \hline \end{longtable}"," ",0,"x^2*exp(-4)+4*x^4/(x-exp(x))^2","A"
3303,1,20,16,0.483000," ","int(((5*x-1)*ln(25*x^3-10*x^2+x)+15*x-1)/(5*x-1)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(25 x^{3}-10 x^{2}+x \right) x}{\ln \left(2\right)}$&$20$\\ norman&$\frac{\ln \left(25 x^{3}-10 x^{2}+x \right) x}{\ln \left(2\right)}$&$20$\\ risch&$\frac{\ln \left(25 x^{3}-10 x^{2}+x \right) x}{\ln \left(2\right)}$&$20$\\ \hline \end{longtable}"," ",0,"1/ln(2)*ln(25*x^3-10*x^2+x)*x","A"
3304,1,5,6,0.010000," ","int(4*exp(4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{4 x}$&$5$\\ derivativedivides&${\mathrm e}^{4 x}$&$5$\\ default&${\mathrm e}^{4 x}$&$5$\\ norman&${\mathrm e}^{4 x}$&$5$\\ risch&${\mathrm e}^{4 x}$&$5$\\ meijerg&${\mathrm e}^{4 x}-1$&$7$\\ \hline \end{longtable}"," ",0,"exp(4*x)","A"
3305,1,21,22,0.488000," ","int((((2*x^2+2*x)*exp(4)+128*x^3+128*x^2)*exp(2*x)*ln(exp(4)+64*x)+64*exp(2*x)*x^2+exp(3)*exp(4)+64*x*exp(3))*exp((x^2*exp(2*x)*ln(exp(4)+64*x)+x*exp(3))/exp(3))/(exp(3)*exp(4)+64*x*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{4}+64 x \right)^{x^{2} {\mathrm e}^{2 x -3}} {\mathrm e}^{x}$&$21$\\ \hline \end{longtable}"," ",0,"(exp(4)+64*x)^(x^2*exp(2*x-3))*exp(x)","A"
3306,1,20,20,0.082000," ","int((5*x*exp(x)*ln(x)^2+10*exp(x)*ln(x)-25*exp(x)*x+2*x^2-x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +5 \,{\mathrm e}^{x} \ln \left(x \right)^{2}-25 \,{\mathrm e}^{x}+x^{2}$&$20$\\ norman&$-x +5 \,{\mathrm e}^{x} \ln \left(x \right)^{2}-25 \,{\mathrm e}^{x}+x^{2}$&$20$\\ risch&$-x +5 \,{\mathrm e}^{x} \ln \left(x \right)^{2}-25 \,{\mathrm e}^{x}+x^{2}$&$20$\\ \hline \end{longtable}"," ",0,"-x+5*exp(x)*ln(x)^2-25*exp(x)+x^2","A"
3307,1,28,24,0.032000," ","int((27*x^4+90*x^3+187*x^2+184*x+48)/(27*x^5+114*x^4+187*x^3+152*x^2+48*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(3 x^{2}+5 x +4\right)+\ln \left(x \right)+\ln \left(9 x^{2}+23 x +12\right)$&$28$\\ norman&$-\ln \left(3 x^{2}+5 x +4\right)+\ln \left(x \right)+\ln \left(9 x^{2}+23 x +12\right)$&$28$\\ risch&$-\ln \left(3 x^{2}+5 x +4\right)+\ln \left(9 x^{3}+23 x^{2}+12 x \right)$&$30$\\ \hline \end{longtable}"," ",0,"-ln(3*x^2+5*x+4)+ln(x)+ln(9*x^2+23*x+12)","A"
3308,1,29,24,0.065000," ","int(((4*x^5-32*x^4+64*x^3)*ln(2*exp(1/25*x^2))+(100*x-200)*ln(10))/(25*x^4-200*x^3+400*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(2 \,{\mathrm e}^{\frac{x^{2}}{25}}\right)^{2}+\frac{\ln \left(10\right)}{2 x}-\frac{\ln \left(10\right)}{2 \left(x -4\right)}$&$29$\\ risch&$\frac{2 x^{2} \ln \left({\mathrm e}^{\frac{x^{2}}{25}}\right)}{25}-\frac{x^{6}-50 x^{4} \ln \left(2\right)-4 x^{5}+200 x^{3} \ln \left(2\right)+1250 \ln \left(5\right)+1250 \ln \left(2\right)}{625 \left(x -4\right) x}$&$55$\\ \hline \end{longtable}"," ",0,"ln(2*exp(1/25*x^2))^2+1/2*ln(10)/x-1/2*ln(10)/(x-4)","A"
3309,1,22,22,0.026000," ","int((-24*x*ln(x)*ln(ln(x))*ln(ln(ln(x)))+(-48*x^2+168*x+24)*ln(x)*ln(ln(x))-24*x)/ln(x)/ln(ln(x))/exp(x*ln(ln(ln(x)))+x^2-7*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$24 x \ln \left(\ln \left(x \right)\right)^{-x} {\mathrm e}^{-x^{2}+7 x -9}$&$22$\\ \hline \end{longtable}"," ",0,"24*x/(ln(ln(x))^x)*exp(-x^2+7*x-9)","A"
3310,1,26,27,0.661000," ","int(((-exp(49)^2+x)*ln(x/(2*exp(49)^2-2*x)/exp(x))+(-3-x)*exp(49)^2+x^2+4*x)/(x^2*exp(49)^2-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4+\ln \left(\frac{x \,{\mathrm e}^{-x}}{2 \,{\mathrm e}^{98}-2 x}\right)}{x}$&$26$\\ default&$\frac{\ln \left(\frac{x \,{\mathrm e}^{-x}}{2 \,{\mathrm e}^{98}-2 x}\right)}{x}+\ln \left(2 \,{\mathrm e}^{98}-2 x \right)-2 \,{\mathrm e}^{98} {\mathrm e}^{-196} \ln \left(x \right)+\frac{\left({\mathrm e}^{98}\right)^{2} {\mathrm e}^{-196}}{x}+2 \,{\mathrm e}^{98} {\mathrm e}^{-196} \ln \left(-{\mathrm e}^{98}+x \right)+\frac{1}{{\mathrm e}^{98}-x}+2 \,{\mathrm e}^{-98} \ln \left(x \right)-2 \,{\mathrm e}^{-98} \ln \left(-{\mathrm e}^{98}+x \right)+\frac{\left({\mathrm e}^{98}\right)^{2} {\mathrm e}^{-196}}{-{\mathrm e}^{98}+x}-{\mathrm e}^{98} {\mathrm e}^{-98} \ln \left(-{\mathrm e}^{98}+x \right)+\frac{3 \,{\mathrm e}^{-98} {\mathrm e}^{98}}{x}$&$197$\\ risch&$-\frac{\ln \left({\mathrm e}^{x}\right)}{x}-\frac{i \pi  \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{-x}}{{\mathrm e}^{98}-x}\right)^{3}-i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{{\mathrm e}^{98}-x}\right) \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{-x}}{{\mathrm e}^{98}-x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{98}-x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{{\mathrm e}^{98}-x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{-x}}{{\mathrm e}^{98}-x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{{\mathrm e}^{98}-x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{{\mathrm e}^{98}-x}\right) \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{-x}}{{\mathrm e}^{98}-x}\right)+i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{{\mathrm e}^{98}-x}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{98}-x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{{\mathrm e}^{98}-x}\right)-8+2 \ln \left(2\right)-2 \ln \left(x \right)+2 \ln \left({\mathrm e}^{98}-x \right)}{2 x}$&$292$\\ \hline \end{longtable}"," ",0,"(4+ln(x/(2*exp(49)^2-2*x)/exp(x)))/x","A"
3311,1,13,13,0.018000," ","int(1/256*(-15*exp(4)^3-1536)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{15 \,{\mathrm e}^{12}}{256}+6}{x}$&$13$\\ gosper&$\frac{\frac{15 \,{\mathrm e}^{12}}{256}+6}{x}$&$14$\\ default&$-\frac{-\frac{15 \,{\mathrm e}^{12}}{256}-6}{x}$&$14$\\ risch&$\frac{15 \,{\mathrm e}^{12}}{256 x}+\frac{6}{x}$&$14$\\ \hline \end{longtable}"," ",0,"(15/256*exp(4)^3+6)/x","A"
3312,0,0,19,0.052000," ","int((-24*x*ln(x^4+4*x^2+4)*exp(ln(x^4+4*x^2+4)^2)-3*x^2-6)/((5*x^2+10)*exp(ln(x^4+4*x^2+4)^2)+5*x^3+5*x^2+10*x+10)/ln(exp(ln(x^4+4*x^2+4)^2)+x+1)^2,x)","\[\int \frac{-24 x \ln \left(x^{4}+4 x^{2}+4\right) {\mathrm e}^{\ln \left(x^{4}+4 x^{2}+4\right)^{2}}-3 x^{2}-6}{\left(\left(5 x^{2}+10\right) {\mathrm e}^{\ln \left(x^{4}+4 x^{2}+4\right)^{2}}+5 x^{3}+5 x^{2}+10 x +10\right) \ln \left({\mathrm e}^{\ln \left(x^{4}+4 x^{2}+4\right)^{2}}+x +1\right)^{2}}\, dx\]"," ",0,"int((-24*x*ln(x^4+4*x^2+4)*exp(ln(x^4+4*x^2+4)^2)-3*x^2-6)/((5*x^2+10)*exp(ln(x^4+4*x^2+4)^2)+5*x^3+5*x^2+10*x+10)/ln(exp(ln(x^4+4*x^2+4)^2)+x+1)^2,x)","F"
3313,1,18,22,0.033000," ","int((exp(4*exp(2)-1/2*x^2-x+6)+5*x+5)/exp(4*exp(2)-1/2*x^2-x+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +5 \,{\mathrm e}^{-4 \,{\mathrm e}^{2}+\frac{x^{2}}{2}+x -6}$&$18$\\ risch&$x +5 \,{\mathrm e}^{-4 \,{\mathrm e}^{2}+\frac{x^{2}}{2}+x -6}$&$18$\\ norman&$\left(5+x \,{\mathrm e}^{4 \,{\mathrm e}^{2}-\frac{x^{2}}{2}-x +6}\right) {\mathrm e}^{-4 \,{\mathrm e}^{2}+\frac{x^{2}}{2}+x -6}$&$38$\\ \hline \end{longtable}"," ",0,"x+5*exp(-4*exp(2)+1/2*x^2+x-6)","A"
3314,1,106,21,0.080000," ","int((((2*x^2-x-1)*ln(x)+x^3-2*x^2+1)*ln(x^2-x)+(2*x^2+x-1)*ln(x)+2*x^3+x^2-x)/(x^5+x^4-x^3-x^2)/ln(x^2-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(x +\ln \left(x \right)\right)}{\left(x +1\right) x \left(2 \ln \left(x -1\right)+2 \ln \left(x \right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}-i \pi  \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}\right)}$&$106$\\ \hline \end{longtable}"," ",0,"-2*(x+ln(x))/(x+1)/x/(2*ln(x-1)+2*ln(x)-I*Pi*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))+I*Pi*csgn(I*x)*csgn(I*x*(x-1))^2+I*Pi*csgn(I*(x-1))*csgn(I*x*(x-1))^2-I*Pi*csgn(I*x*(x-1))^3)","C"
3315,1,2492,27,0.448000," ","int((((2*x^2-24*x)*exp(x)^2+(8*x^3-98*x^2)*exp(x)+8*x^4-100*x^3)*ln(((12-x)*exp(x)-2*x^2+25*x)/(6*exp(x)+12*x))^2+((-6*x^3+74*x^2)*exp(x)^2+(-24*x^4+304*x^3-2*x^2)*exp(x)-24*x^5+308*x^4)*ln(((12-x)*exp(x)-2*x^2+25*x)/(6*exp(x)+12*x))+(4*x^4-50*x^3)*exp(x)^2+(16*x^5-206*x^4+2*x^3)*exp(x)+16*x^6-208*x^5)/((x-12)*exp(x)^2+(4*x^2-49*x)*exp(x)+4*x^3-50*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2492$\\ \hline \end{longtable}"," ",0,"-Pi^2*x^2+x^4+2*x^3*ln(3)+x^2*ln(2)^2+2*x^3*ln(2)+(-2*x^2*ln(1/2*exp(x)+x)-2*I*Pi*x^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2-I*Pi*x^2*csgn(I/(1/2*exp(x)+x))*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))+I*Pi*x^2*csgn(I/(1/2*exp(x)+x))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2+I*Pi*x^2*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2+I*Pi*x^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^3+2*I*Pi*x^2-2*x^2*ln(2)-2*x^2*ln(3)-2*x^3)*ln(x^2+(1/2*exp(x)-25/2)*x-6*exp(x))+2*x^3*ln(1/2*exp(x)+x)+x^2*ln(1/2*exp(x)+x)^2+x^2*ln(x^2+(1/2*exp(x)-25/2)*x-6*exp(x))^2-1/4*x^2*Pi^2*csgn(I/(1/2*exp(x)+x))^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^4-1/2*x^2*Pi^2*csgn(I/(1/2*exp(x)+x))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^5-1/4*x^2*Pi^2*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^4-1/2*x^2*Pi^2*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^5+2*I*Pi*x^3*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2-x^2*Pi^2*csgn(I/(1/2*exp(x)+x))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2-x^2*Pi^2*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2-2*I*Pi*x^3+x^2*ln(3)^2+2*x^2*ln(2)*ln(1/2*exp(x)+x)+2*x^2*ln(3)*ln(1/2*exp(x)+x)+2*x^2*Pi^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2+2*ln(2)*ln(3)*x^2-2*I*Pi*ln(2)*x^2-2*I*Pi*ln(3)*x^2-2*I*Pi*x^2*ln(1/2*exp(x)+x)-x^2*Pi^2*csgn(I/(1/2*exp(x)+x))*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^3+x^2*Pi^2*csgn(I/(1/2*exp(x)+x))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^4+x^2*Pi^2*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^4+I*Pi*ln(2)*x^2*csgn(I/(1/2*exp(x)+x))*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))+I*Pi*ln(3)*x^2*csgn(I/(1/2*exp(x)+x))*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))+I*Pi*x^2*csgn(I/(1/2*exp(x)+x))*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*ln(1/2*exp(x)+x)-I*Pi*ln(2)*x^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^3-I*Pi*ln(3)*x^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^3-I*Pi*ln(2)*x^2*csgn(I/(1/2*exp(x)+x))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2-I*Pi*ln(2)*x^2*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2-I*Pi*ln(3)*x^2*csgn(I/(1/2*exp(x)+x))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2-I*Pi*ln(3)*x^2*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2-I*Pi*x^2*csgn(I/(1/2*exp(x)+x))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2*ln(1/2*exp(x)+x)-I*Pi*x^2*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2*ln(1/2*exp(x)+x)+I*Pi*x^3*csgn(I/(1/2*exp(x)+x))*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))-I*Pi*x^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^3*ln(1/2*exp(x)+x)-I*Pi*x^3*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^3-x^2*Pi^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^3-x^2*Pi^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^4+x^2*Pi^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^5-1/4*x^2*Pi^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^6+x^2*Pi^2*csgn(I/(1/2*exp(x)+x))*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))-I*Pi*x^3*csgn(I/(1/2*exp(x)+x))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2-I*Pi*x^3*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2-1/4*x^2*Pi^2*csgn(I/(1/2*exp(x)+x))^2*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2+1/2*x^2*Pi^2*csgn(I/(1/2*exp(x)+x))^2*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^3+1/2*x^2*Pi^2*csgn(I/(1/2*exp(x)+x))*csgn(I*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^3+2*I*Pi*ln(3)*x^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2+2*I*Pi*ln(2)*x^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2+2*I*Pi*x^2*csgn(I/(1/2*exp(x)+x)*(x^2+(1/2*exp(x)-25/2)*x-6*exp(x)))^2*ln(1/2*exp(x)+x)","C"
3316,1,21,20,0.067000," ","int(((2*x*exp(exp(exp(x^2+x)))-2*x^2)*ln(-exp(exp(exp(x^2+x)))+x)^2+((4*x^3+2*x^2)*exp(x^2+x)*exp(exp(x^2+x))*exp(exp(exp(x^2+x)))-2*x^2)*ln(-exp(exp(exp(x^2+x)))+x))/(27*exp(exp(exp(x^2+x)))-27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} \ln \left(-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{\left(x +1\right) x}}}+x \right)^{2}}{27}$&$21$\\ \hline \end{longtable}"," ",0,"1/27*x^2*ln(-exp(exp(exp((x+1)*x)))+x)^2","A"
3317,1,22,18,0.033000," ","int((x*ln(x)^3+(-3*exp(x)*x-15*x)*ln(x)^2+(3*x*exp(x)^2+30*exp(x)*x+2*x^2+69*x)*ln(x)-x*exp(x)^3-15*x*exp(x)^2+(2*x^3-14*x^2-51*x)*exp(x)-12*x^2-83*x-18)/(x*ln(x)^3+(-3*exp(x)*x-15*x)*ln(x)^2+(3*x*exp(x)^2+30*exp(x)*x+75*x)*ln(x)-x*exp(x)^3-15*x*exp(x)^2-75*exp(x)*x-125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x^{2}-6 x +9}{\left(5+{\mathrm e}^{x}-\ln \left(x \right)\right)^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"x+(x^2-6*x+9)/(5+exp(x)-ln(x))^2","A"
3318,1,33,27,0.517000," ","int(((6*x^3-6*x^2-120*x)*ln((x^4-2*x^3-39*x^2+40*x+400)/x^2)-6*x^3-120*x)/(x^2-x-20)/exp(1)/ln((x^4-2*x^3-39*x^2+40*x+400)/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x^{2} {\mathrm e}^{-1}}{\ln \left(\frac{x^{4}-2 x^{3}-39 x^{2}+40 x +400}{x^{2}}\right)}$&$33$\\ norman&$\frac{3 x^{2} {\mathrm e}^{-1}}{\ln \left(\frac{x^{4}-2 x^{3}-39 x^{2}+40 x +400}{x^{2}}\right)}$&$35$\\ \hline \end{longtable}"," ",0,"3*x^2*exp(-1)/ln((x^4-2*x^3-39*x^2+40*x+400)/x^2)","A"
3319,1,95,50,0.037000," ","int(((16*x^3+64*x)*exp(5)^2+(-48*x^2-64)*exp(5)+32*x)*exp(exp(4))^2+((32*x^3+48*x^2+64*x+64)*exp(5)-48*x^2-64*x)*exp(exp(4))+16*x^3+48*x^2+32*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{2 \,{\mathrm e}^{4}} \left({\mathrm e}^{10} \left(4 x^{4}+32 x^{2}\right)+{\mathrm e}^{5} \left(-16 x^{3}-64 x \right)+16 x^{2}\right)+{\mathrm e}^{{\mathrm e}^{4}} \left({\mathrm e}^{5} \left(8 x^{4}+16 x^{3}+32 x^{2}+64 x \right)-16 x^{3}-32 x^{2}\right)+4 x^{4}+16 x^{3}+16 x^{2}+x$&$95$\\ norman&$\left(4 \,{\mathrm e}^{10} {\mathrm e}^{2 \,{\mathrm e}^{4}}+8 \,{\mathrm e}^{5} {\mathrm e}^{{\mathrm e}^{4}}+4\right) x^{4}+\left(-16 \,{\mathrm e}^{5} {\mathrm e}^{2 \,{\mathrm e}^{4}}+16 \,{\mathrm e}^{5} {\mathrm e}^{{\mathrm e}^{4}}-16 \,{\mathrm e}^{{\mathrm e}^{4}}+16\right) x^{3}+\left(32 \,{\mathrm e}^{10} {\mathrm e}^{2 \,{\mathrm e}^{4}}+32 \,{\mathrm e}^{5} {\mathrm e}^{{\mathrm e}^{4}}+16 \,{\mathrm e}^{2 \,{\mathrm e}^{4}}-32 \,{\mathrm e}^{{\mathrm e}^{4}}+16\right) x^{2}+\left(-64 \,{\mathrm e}^{5} {\mathrm e}^{2 \,{\mathrm e}^{4}}+64 \,{\mathrm e}^{5} {\mathrm e}^{{\mathrm e}^{4}}+1\right) x$&$109$\\ gosper&$x \left(4 \,{\mathrm e}^{10} {\mathrm e}^{2 \,{\mathrm e}^{4}} x^{3}+32 \,{\mathrm e}^{10} {\mathrm e}^{2 \,{\mathrm e}^{4}} x -16 \,{\mathrm e}^{5} {\mathrm e}^{2 \,{\mathrm e}^{4}} x^{2}+8 x^{3} {\mathrm e}^{5} {\mathrm e}^{{\mathrm e}^{4}}+16 x^{2} {\mathrm e}^{5} {\mathrm e}^{{\mathrm e}^{4}}-64 \,{\mathrm e}^{5} {\mathrm e}^{2 \,{\mathrm e}^{4}}+32 x \,{\mathrm e}^{5} {\mathrm e}^{{\mathrm e}^{4}}+16 \,{\mathrm e}^{2 \,{\mathrm e}^{4}} x -16 x^{2} {\mathrm e}^{{\mathrm e}^{4}}+4 x^{3}+64 \,{\mathrm e}^{5} {\mathrm e}^{{\mathrm e}^{4}}-32 x \,{\mathrm e}^{{\mathrm e}^{4}}+16 x^{2}+16 x +1\right)$&$122$\\ risch&$4 x^{4} {\mathrm e}^{2 \,{\mathrm e}^{4}+10}+32 x^{2} {\mathrm e}^{2 \,{\mathrm e}^{4}+10}-16 x^{3} {\mathrm e}^{2 \,{\mathrm e}^{4}+5}-64 x \,{\mathrm e}^{2 \,{\mathrm e}^{4}+5}+16 \,{\mathrm e}^{2 \,{\mathrm e}^{4}} x^{2}+8 x^{4} {\mathrm e}^{5+{\mathrm e}^{4}}+16 x^{3} {\mathrm e}^{5+{\mathrm e}^{4}}+32 x^{2} {\mathrm e}^{5+{\mathrm e}^{4}}+64 x \,{\mathrm e}^{5+{\mathrm e}^{4}}-16 \,{\mathrm e}^{{\mathrm e}^{4}} x^{3}-32 x^{2} {\mathrm e}^{{\mathrm e}^{4}}+4 x^{4}+16 x^{3}+16 x^{2}+x$&$128$\\ \hline \end{longtable}"," ",0,"exp(exp(4))^2*(exp(5)^2*(4*x^4+32*x^2)+exp(5)*(-16*x^3-64*x)+16*x^2)+exp(exp(4))*(exp(5)*(8*x^4+16*x^3+32*x^2+64*x)-16*x^3-32*x^2)+4*x^4+16*x^3+16*x^2+x","A"
3320,1,18,23,0.040000," ","int((-4*x*ln(x)+x*exp(4+x)-10*x^2+10*x+4)/x/exp(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\left(10 x +4 \ln \left(x \right)\right) {\mathrm e}^{-x -4}$&$18$\\ norman&$\left(x \,{\mathrm e}^{4+x}+10 x +4 \ln \left(x \right)\right) {\mathrm e}^{-x -4}$&$22$\\ risch&$4 \,{\mathrm e}^{-x -4} \ln \left(x \right)+x \left({\mathrm e}^{4+x}+10\right) {\mathrm e}^{-x -4}$&$26$\\ \hline \end{longtable}"," ",0,"x+(10*x+4*ln(x))/exp(4+x)","A"
3321,1,49,27,0.057000," ","int(((-2*x^2*exp(-x+4)-2*x^2+2*x)*ln(x)+(x-1)*exp(3+x)-2*x^2*exp(-x+4)^2+(2*x^3-2*x^2+2*x)*exp(-x+4)+2*x^3-2*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x \,{\mathrm e}^{-x +4}+2 \ln \left(x \right) {\mathrm e}^{-x +4}+\frac{{\mathrm e}^{3+x}}{x}+x^{2}+{\mathrm e}^{-2 x +8}-2 x \ln \left(x \right)+\ln \left(x \right)^{2}$&$49$\\ risch&$\ln \left(x \right)^{2}+2 \left(-{\mathrm e}^{3+x} x +{\mathrm e}^{7}\right) {\mathrm e}^{-3-x} \ln \left(x \right)+\frac{\left(x^{3} {\mathrm e}^{2 x +6}-2 x^{2} {\mathrm e}^{x +10}+{\mathrm e}^{14} x +{\mathrm e}^{3 x +9}\right) {\mathrm e}^{-2 x -6}}{x}$&$66$\\ \hline \end{longtable}"," ",0,"-2*x*exp(-x+4)+2*ln(x)*exp(-x+4)+exp(3+x)/x+x^2+exp(-x+4)^2-2*x*ln(x)+ln(x)^2","A"
3322,1,24,18,0.029000," ","int(1/2*((-10*x^2+15)*ln(4*x^2)-20*x^2+80*x-30)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \left(2 x^{2}+3\right) \ln \left(4 x^{2}\right)}{2 x}+40 \ln \left(x \right)$&$24$\\ norman&$\frac{-5 x^{2} \ln \left(4 x^{2}\right)-\frac{15 \ln \left(4 x^{2}\right)}{2}}{x}+40 \ln \left(x \right)$&$30$\\ default&$40 \ln \left(x \right)-10 x \ln \left(2\right)-\frac{15 \ln \left(2\right)}{x}-5 x \ln \left(x^{2}\right)-\frac{15 \ln \left(x^{2}\right)}{2 x}$&$34$\\ \hline \end{longtable}"," ",0,"-5/2*(2*x^2+3)/x*ln(4*x^2)+40*ln(x)","A"
3323,1,17,18,0.043000," ","int(((-4*x-6)*ln(3/x)-x-2)/(12*x^6+48*x^5+48*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(\frac{3}{x}\right)}{12 x^{3} \left(2+x \right)}$&$17$\\ risch&$\frac{\ln \left(\frac{3}{x}\right)}{12 x^{3} \left(2+x \right)}$&$17$\\ derivativedivides&$\frac{\ln \left(\frac{3}{x}\right)}{24 x^{3}}-\frac{\ln \left(\frac{3}{x}\right)}{48 x^{2}}+\frac{\ln \left(\frac{3}{x}\right)}{96 x}-\frac{\ln \left(\frac{3}{x}\right)}{32 x \left(\frac{6}{x}+3\right)}$&$55$\\ default&$\frac{\ln \left(\frac{3}{x}\right)}{24 x^{3}}-\frac{\ln \left(\frac{3}{x}\right)}{48 x^{2}}+\frac{\ln \left(\frac{3}{x}\right)}{96 x}-\frac{\ln \left(\frac{3}{x}\right)}{32 x \left(\frac{6}{x}+3\right)}$&$55$\\ \hline \end{longtable}"," ",0,"1/12*ln(3/x)/x^3/(2+x)","A"
3324,1,22,20,0.037000," ","int(((18*x^2-18*x)*exp(5*exp(4)-1)+3)/exp(5*exp(4)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$6 x^{3}-9 x^{2}+3 x \,{\mathrm e}^{1-5 \,{\mathrm e}^{4}}$&$22$\\ norman&$-9 x^{2}+6 x^{3}+3 \,{\mathrm e}^{-5 \,{\mathrm e}^{4}} {\mathrm e} x$&$24$\\ default&${\mathrm e}^{1-5 \,{\mathrm e}^{4}} \left({\mathrm e}^{5 \,{\mathrm e}^{4}-1} \left(6 x^{3}-9 x^{2}\right)+3 x \right)$&$34$\\ gosper&$3 x \left(2 \,{\mathrm e}^{5 \,{\mathrm e}^{4}-1} x^{2}-3 \,{\mathrm e}^{5 \,{\mathrm e}^{4}-1} x +1\right) {\mathrm e}^{1-5 \,{\mathrm e}^{4}}$&$37$\\ \hline \end{longtable}"," ",0,"6*x^3-9*x^2+3*x*exp(1-5*exp(4))","A"
3325,1,21,19,0.029000," ","int((48*x^2+240*x+6)*exp(4*x^2+40*x+100)+(-6*x-6)*exp(x)-24,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-24 x -6 \,{\mathrm e}^{x} x +6 \,{\mathrm e}^{4 \left(5+x \right)^{2}} x$&$21$\\ default&$-24 x -6 \,{\mathrm e}^{x} x +6 \,{\mathrm e}^{4 x^{2}+40 x +100} x$&$24$\\ norman&$-24 x -6 \,{\mathrm e}^{x} x +6 \,{\mathrm e}^{4 x^{2}+40 x +100} x$&$24$\\ \hline \end{longtable}"," ",0,"-24*x-6*exp(x)*x+6*exp(4*(5+x)^2)*x","A"
3326,1,32,29,0.106000," ","int((20*x^2*ln(5)*exp(5*x^2)-2)/x^2/exp(1/2*(-2*ln(2)*ln(5)*exp(5*x^2)+(8*ln(2)+1)*ln(5))/ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,5^{\frac{{\mathrm e}^{5 x^{2}} \ln \left(4\right)-8 \ln \left(2\right)-1}{2 \ln \left(2\right)}}}{x}$&$32$\\ norman&$\frac{2 \,{\mathrm e}^{-\frac{{\mathrm e}^{5 x^{2}} \ln \left(5\right) \ln \left(\frac{1}{4}\right)+\left(8 \ln \left(2\right)+1\right) \ln \left(5\right)}{2 \ln \left(2\right)}}}{x}$&$37$\\ \hline \end{longtable}"," ",0,"2/x/(5^(-1/2*(2*ln(2)*exp(5*x^2)-8*ln(2)-1)/ln(2)))","A"
3327,1,19,20,0.460000," ","int((-2*exp(-x/(5*x+10))+(10*x^2+40*x+40)*exp(-2*x-6))/(5*x^2+20*x+20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-2 x -6}+{\mathrm e}^{-\frac{x}{5 \left(2+x \right)}}$&$19$\\ norman&$\frac{x \,{\mathrm e}^{-\frac{x}{5 x +10}}-{\mathrm e}^{-2 x -6} x +2 \,{\mathrm e}^{-\frac{x}{5 x +10}}-2 \,{\mathrm e}^{-2 x -6}}{2+x}$&$51$\\ default&${\mathrm e}^{-\frac{1}{5}+\frac{2}{5 \left(2+x \right)}}+8 \,{\mathrm e}^{-6} \left(-\frac{{\mathrm e}^{-2 x}}{2+x}+2 \,{\mathrm e}^{4} \expIntegralEi \left(1, 2 x +4\right)\right)+8 \,{\mathrm e}^{-6} \left(\frac{2 \,{\mathrm e}^{-2 x}}{2+x}-5 \,{\mathrm e}^{4} \expIntegralEi \left(1, 2 x +4\right)\right)+2 \,{\mathrm e}^{-6} \left(-\frac{{\mathrm e}^{-2 x}}{2}-\frac{4 \,{\mathrm e}^{-2 x}}{2+x}+12 \,{\mathrm e}^{4} \expIntegralEi \left(1, 2 x +4\right)\right)$&$101$\\ \hline \end{longtable}"," ",0,"-exp(-2*x-6)+exp(-1/5*x/(2+x))","A"
3328,1,57,25,0.217000," ","int(((16*x^3+36*x^2+24*x+20)*exp(x)^3+(-4*x^4-40*x^3-88*x^2-64*x-60)*exp(x)^2+(2*x^4+26*x^3+67*x^2+56*x+60)*exp(x)-4*x^3-15*x^2-16*x-20)/(16*exp(x)^3-48*exp(x)^2+48*exp(x)-16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4}}{4}+\frac{3 x^{3}}{4}+\frac{3 x^{2}}{4}+\frac{5 x}{4}+\frac{x^{2} \left(4 \,{\mathrm e}^{x} x^{2}-3 x^{2}+8 \,{\mathrm e}^{x} x -7 x +4 \,{\mathrm e}^{x}-4\right)}{16 \left({\mathrm e}^{x}-1\right)^{2}}$&$57$\\ norman&$\frac{\frac{5 x}{4}+\frac{x^{2}}{2}+\frac{5 x^{3}}{16}+\frac{x^{4}}{16}+\frac{5 x \,{\mathrm e}^{2 x}}{4}-\frac{5 \,{\mathrm e}^{x} x}{2}-\frac{5 \,{\mathrm e}^{x} x^{2}}{4}-{\mathrm e}^{x} x^{3}-\frac{{\mathrm e}^{x} x^{4}}{4}+\frac{3 \,{\mathrm e}^{2 x} x^{2}}{4}+\frac{3 \,{\mathrm e}^{2 x} x^{3}}{4}+\frac{{\mathrm e}^{2 x} x^{4}}{4}}{\left({\mathrm e}^{x}-1\right)^{2}}$&$87$\\ \hline \end{longtable}"," ",0,"1/4*x^4+3/4*x^3+3/4*x^2+5/4*x+1/16*x^2*(4*exp(x)*x^2-3*x^2+8*exp(x)*x-7*x+4*exp(x)-4)/(exp(x)-1)^2","B"
3329,1,47,31,0.103000," ","int((((-2*x*exp(x)^2+(-4*x^2+16*x)*exp(x)-2*x^3+16*x^2-32*x)*ln(x)+(8*x^2-16*x+6)*exp(x)^2+(16*x^3-98*x^2+150*x-48)*exp(x)+8*x^4-82*x^3+280*x^2-344*x+96)*exp((x-4)*ln(x)-2*x^2+8*x+4)+(2*x-2)*exp(x)^2+(2*x^2-10*x+16)*exp(x)+8*x-32)/(x^3*exp((x-4)*ln(x)-2*x^2+8*x+4)^3+3*x^3*exp((x-4)*ln(x)-2*x^2+8*x+4)^2+3*x^3*exp((x-4)*ln(x)-2*x^2+8*x+4)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}+2 \,{\mathrm e}^{x} x +{\mathrm e}^{2 x}-8 x -8 \,{\mathrm e}^{x}+16}{x^{2} \left(x^{x -4} {\mathrm e}^{-2 x^{2}+8 x +4}+1\right)^{2}}$&$47$\\ \hline \end{longtable}"," ",0,"(x^2+2*exp(x)*x+exp(2*x)-8*x-8*exp(x)+16)/x^2/(x^(x-4)*exp(-2*x^2+8*x+4)+1)^2","A"
3330,1,26,25,0.046000," ","int((((ln(x)+(4*ln(3)^2+4*x+1)*exp(x))*ln(ln(x)+(4*ln(3)^2+4*x+1)*exp(x))+(-4*x*ln(3)^2-4*x^2-5*x)*exp(x)-1)*exp(x/ln(ln(x)+(4*ln(3)^2+4*x+1)*exp(x)))+(ln(x)+(4*ln(3)^2+4*x+1)*exp(x))*ln(ln(x)+(4*ln(3)^2+4*x+1)*exp(x))^2)/(ln(x)+(4*ln(3)^2+4*x+1)*exp(x))/ln(ln(x)+(4*ln(3)^2+4*x+1)*exp(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{x}{\ln \left(\ln \left(x \right)+\left(4 \ln \left(3\right)^{2}+4 x +1\right) {\mathrm e}^{x}\right)}}$&$26$\\ \hline \end{longtable}"," ",0,"x+exp(x/ln(ln(x)+(4*ln(3)^2+4*x+1)*exp(x)))","A"
3331,1,11,14,0.044000," ","int(1/5*(2*x^2*exp(1)^4+10*x)*exp(1/5*x*exp(1)^4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}}$&$11$\\ gosper&$x^{2} {\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}}$&$15$\\ norman&$x^{2} {\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}}$&$15$\\ meijerg&$-\frac{25 \,{\mathrm e}^{-8} \left(2-\frac{\left(\frac{12 x^{2} {\mathrm e}^{8}}{25}-\frac{12 x \,{\mathrm e}^{4}}{5}+6\right) {\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}}}{3}\right)}{4}+\frac{25 \,{\mathrm e}^{-8} \left(1-\frac{\left(2-\frac{4 x \,{\mathrm e}^{4}}{5}\right) {\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}}}{2}\right)}{2}$&$51$\\ derivativedivides&$50 \,{\mathrm e}^{-4} \left({\mathrm e}^{-4} \left(\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}} x \,{\mathrm e}^{4}}{10}-\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}}}{4}\right)+{\mathrm e}^{-4} \left(\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}} x^{2} {\mathrm e}^{8}}{50}-\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}} x \,{\mathrm e}^{4}}{10}+\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}}}{4}\right)\right)$&$97$\\ default&$50 \,{\mathrm e}^{-4} \left({\mathrm e}^{-4} \left(\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}} x \,{\mathrm e}^{4}}{10}-\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}}}{4}\right)+{\mathrm e}^{-4} \left(\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}} x^{2} {\mathrm e}^{8}}{50}-\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}} x \,{\mathrm e}^{4}}{10}+\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}}}{4}\right)\right)$&$97$\\ \hline \end{longtable}"," ",0,"x^2*exp(2/5*x*exp(4))","A"
3332,1,20,20,0.035000," ","int(((19531250*x^2+781250*x)*ln(25*x^2+x)+15625*x^3-19530625*x^2-390625*x)/((9765625*x+390625)*ln(25*x^2+x)^2+(31250*x^2+1250*x)*ln(25*x^2+x)+25*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{625 x^{2}}{625 \ln \left(25 x^{2}+x \right)+x}$&$20$\\ risch&$\frac{625 x^{2}}{625 \ln \left(25 x^{2}+x \right)+x}$&$20$\\ \hline \end{longtable}"," ",0,"625*x^2/(625*ln(25*x^2+x)+x)","A"
3333,1,26,23,0.441000," ","int(((-16*x^2-19*x+42)*exp(ln(3+x)+5)-5*x^2-10*x+15)/(3+x)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\left(5+51 \,{\mathrm e}^{5}\right) x +16 x^{2} {\mathrm e}^{5}+9 \,{\mathrm e}^{5}\right) {\mathrm e}^{-x}$&$26$\\ risch&$\left(16 x^{2} {\mathrm e}^{5}+51 x \,{\mathrm e}^{5}+9 \,{\mathrm e}^{5}+5 x \right) {\mathrm e}^{-x}$&$26$\\ default&$5 x \,{\mathrm e}^{-x}-126 \,{\mathrm e}^{5} {\mathrm e}^{3} \expIntegralEi \left(1, 3+x \right)-15 \,{\mathrm e}^{5} \left(-{\mathrm e}^{-x}+3 \,{\mathrm e}^{3} \expIntegralEi \left(1, 3+x \right)\right)+67 \,{\mathrm e}^{5} \left(x \,{\mathrm e}^{-x}-2 \,{\mathrm e}^{-x}+9 \,{\mathrm e}^{3} \expIntegralEi \left(1, 3+x \right)\right)-16 \,{\mathrm e}^{5} \left(-x^{2} {\mathrm e}^{-x}+x \,{\mathrm e}^{-x}-8 \,{\mathrm e}^{-x}+27 \,{\mathrm e}^{3} \expIntegralEi \left(1, 3+x \right)\right)$&$101$\\ \hline \end{longtable}"," ",0,"((5+51*exp(5))*x+16*x^2*exp(5)+9*exp(5))/exp(x)","A"
3334,1,41,25,0.447000," ","int((((-4*x^4-20*x^3)*ln(3)+8*x^5+56*x^4+80*x^3)*ln(5+x)^3+(((-2*x^2-10*x)*ln(3)+8*x^2+40*x)*ln(x)+(2*x^2+10*x)*ln(3)-4*x^3-28*x^2-40*x)*ln(5+x)^2+((-2*x-10)*ln(x)^2+(-2*x^2*ln(3)+4*x^3+8*x^2+2*x+10)*ln(x))*ln(5+x)-2*x*ln(x)^2)*exp(((x^2*ln(3)^2+(-4*x^3-8*x^2)*ln(3)+4*x^4+16*x^3+16*x^2)*ln(5+x)^2+(2*x*ln(3)-4*x^2-8*x)*ln(x)*ln(5+x)+ln(x)^2)/x^2/ln(5+x)^2)/(x^4+5*x^3)/ln(5+x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(\ln \left(5+x \right) \ln \left(3\right) x -2 x^{2} \ln \left(5+x \right)-4 x \ln \left(5+x \right)+\ln \left(x \right)\right)^{2}}{x^{2} \ln \left(5+x \right)^{2}}}$&$41$\\ \hline \end{longtable}"," ",0,"exp((ln(5+x)*ln(3)*x-2*x^2*ln(5+x)-4*x*ln(5+x)+ln(x))^2/x^2/ln(5+x)^2)","A"
3335,1,15,14,0.018000," ","int((3*x^2+2*x)*ln(2)+4*x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{2} \left(x \ln \left(2\right)+x^{2}+\ln \left(2\right)\right)$&$15$\\ default&$\left(x^{3}+x^{2}\right) \ln \left(2\right)+x^{4}$&$15$\\ norman&$x^{4}+x^{3} \ln \left(2\right)+x^{2} \ln \left(2\right)$&$17$\\ risch&$x^{4}+x^{3} \ln \left(2\right)+x^{2} \ln \left(2\right)$&$17$\\ \hline \end{longtable}"," ",0,"x^2*(x*ln(2)+x^2+ln(2))","A"
3336,1,30,25,0.120000," ","int(((8*x^3-72*x^2+120*x+160)*ln(-x+4)+(x^2-10*x+24)*exp(2)+8*x^4-31*x^3-241*x^2+775*x+660)/((8*x^3-72*x^2+160*x)*ln(-x+4)+(x^2-9*x+20)*exp(2)+8*x^4-39*x^3-137*x^2+660*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\ln \left(x -5\right)+\ln \left(8 x^{2}+8 \ln \left(-x +4\right) x +{\mathrm e}^{2}+33 x \right)$&$30$\\ risch&$x -\ln \left(x -5\right)+\ln \left(x \right)+\ln \left(\ln \left(-x +4\right)+\frac{8 x^{2}+{\mathrm e}^{2}+33 x}{8 x}\right)$&$35$\\ \hline \end{longtable}"," ",0,"x-ln(x-5)+ln(8*x^2+8*ln(-x+4)*x+exp(2)+33*x)","A"
3337,1,25,27,0.091000," ","int(((2*(2*x^2-x)*ln(2)+x)*exp(2*(x^2-x+4)*ln(2)+x-3)-4*x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-4 x +{\mathrm e}^{2 \left(x^{2}-x +4\right) \ln \left(2\right)+x -3}-\ln \left(x \right)$&$25$\\ risch&$-4 x +2^{2 x^{2}-2 x +8} {\mathrm e}^{x -3}-\ln \left(x \right)$&$26$\\ default&${\mathrm e}^{2 x^{2} \ln \left(2\right)+\left(1-2 \ln \left(2\right)\right) x +8 \ln \left(2\right)-3}+\frac{i \left(1-2 \ln \left(2\right)\right) \sqrt{\pi}\, {\mathrm e}^{8 \ln \left(2\right)-3-\frac{\left(1-2 \ln \left(2\right)\right)^{2}}{8 \ln \left(2\right)}} \sqrt{2}\, \erf \left(i \sqrt{2}\, \sqrt{\ln \left(2\right)}\, x +\frac{i \left(1-2 \ln \left(2\right)\right) \sqrt{2}}{4 \sqrt{\ln \left(2\right)}}\right)}{4 \sqrt{\ln \left(2\right)}}+\frac{i \sqrt{\ln \left(2\right)}\, \sqrt{\pi}\, {\mathrm e}^{8 \ln \left(2\right)-3-\frac{\left(1-2 \ln \left(2\right)\right)^{2}}{8 \ln \left(2\right)}} \sqrt{2}\, \erf \left(i \sqrt{2}\, \sqrt{\ln \left(2\right)}\, x +\frac{i \left(1-2 \ln \left(2\right)\right) \sqrt{2}}{4 \sqrt{\ln \left(2\right)}}\right)}{2}-\frac{i \sqrt{\pi}\, {\mathrm e}^{8 \ln \left(2\right)-3-\frac{\left(1-2 \ln \left(2\right)\right)^{2}}{8 \ln \left(2\right)}} \sqrt{2}\, \erf \left(i \sqrt{2}\, \sqrt{\ln \left(2\right)}\, x +\frac{i \left(1-2 \ln \left(2\right)\right) \sqrt{2}}{4 \sqrt{\ln \left(2\right)}}\right)}{4 \sqrt{\ln \left(2\right)}}-\ln \left(x \right)-4 x$&$226$\\ \hline \end{longtable}"," ",0,"-4*x+exp(2*(x^2-x+4)*ln(2)+x-3)-ln(x)","A"
3338,1,28,21,0.050000," ","int((-3*ln(x)^2+2*ln(x)+4*x^2*ln(6)^2-9*x^2)/(x*ln(x)^2-4*x^3*ln(6)^2+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-3 \ln \left(x \right)+\ln \left(4 x^{2} \ln \left(6\right)^{2}-9 x^{2}-\ln \left(x \right)^{2}\right)$&$28$\\ risch&$-3 \ln \left(x \right)+\ln \left(-4 x^{2} \ln \left(2\right)^{2}-8 \ln \left(2\right) \ln \left(3\right) x^{2}-4 x^{2} \ln \left(3\right)^{2}+9 x^{2}+\ln \left(x \right)^{2}\right)$&$44$\\ \hline \end{longtable}"," ",0,"-3*ln(x)+ln(4*x^2*ln(6)^2-9*x^2-ln(x)^2)","A"
3339,1,28,28,0.493000," ","int((((4*x^4-8*x^3)*exp(3)^2+3*x^6-6*x^5+3*x^4)*exp((4*x^2*exp(3)^2+x^4-x^3)/(x-1))+2*x^3-4*x^2+2*x)*exp(exp((4*x^2*exp(3)^2+x^4-x^3)/(x-1)))*exp(x^2*exp(exp((4*x^2*exp(3)^2+x^4-x^3)/(x-1))))/(x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{2} {\mathrm e}^{{\mathrm e}^{\frac{x^{2} \left(x^{2}+4 \,{\mathrm e}^{6}-x \right)}{x -1}}}}$&$28$\\ \hline \end{longtable}"," ",0,"exp(x^2*exp(exp(x^2*(x^2+4*exp(6)-x)/(x-1))))","A"
3340,0,0,24,0.032000," ","int(((-4*x^3-34*x^2+20*x+18)*ln(x+9)*ln(ln(x+9))^2+(4*x^3+38*x^2+18*x)*ln(x+9)*ln(ln(x+9))-2*x^3-2*x^2)*ln(((ln(x)-x^2+x+2)*ln(ln(x+9))+x^2+x)/ln(ln(x+9)))/(((x^2+9*x)*ln(x)-x^4-8*x^3+11*x^2+18*x)*ln(x+9)*ln(ln(x+9))^2+(x^4+10*x^3+9*x^2)*ln(x+9)*ln(ln(x+9))),x)","\[\int \frac{\left(\left(-4 x^{3}-34 x^{2}+20 x +18\right) \ln \left(x +9\right) \ln \left(\ln \left(x +9\right)\right)^{2}+\left(4 x^{3}+38 x^{2}+18 x \right) \ln \left(x +9\right) \ln \left(\ln \left(x +9\right)\right)-2 x^{3}-2 x^{2}\right) \ln \left(\frac{\left(\ln \left(x \right)-x^{2}+x +2\right) \ln \left(\ln \left(x +9\right)\right)+x^{2}+x}{\ln \left(\ln \left(x +9\right)\right)}\right)}{\left(\left(x^{2}+9 x \right) \ln \left(x \right)-x^{4}-8 x^{3}+11 x^{2}+18 x \right) \ln \left(x +9\right) \ln \left(\ln \left(x +9\right)\right)^{2}+\left(x^{4}+10 x^{3}+9 x^{2}\right) \ln \left(x +9\right) \ln \left(\ln \left(x +9\right)\right)}\, dx\]"," ",0,"int(((-4*x^3-34*x^2+20*x+18)*ln(x+9)*ln(ln(x+9))^2+(4*x^3+38*x^2+18*x)*ln(x+9)*ln(ln(x+9))-2*x^3-2*x^2)*ln(((ln(x)-x^2+x+2)*ln(ln(x+9))+x^2+x)/ln(ln(x+9)))/(((x^2+9*x)*ln(x)-x^4-8*x^3+11*x^2+18*x)*ln(x+9)*ln(ln(x+9))^2+(x^4+10*x^3+9*x^2)*ln(x+9)*ln(ln(x+9))),x)","F"
3341,1,406,40,0.097000," ","int((x^3*ln(x^2)^2+(50*ln(x)^2+(-50*x+550)*ln(x)-50*x^4-50*x^3+50*x^2-250*x+1500)*ln(x^2)+50*ln(x)^2+(-100*x^2-100*x+600)*ln(x)+50*x^4+100*x^3-550*x^2-600*x+1800)/x^3/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{25 \ln \left(x \right)}{2 x^{2}}+\frac{-25 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+50 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-25 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+8 x^{3}+200 x -1200}{8 x^{2}}-\frac{25 i \left(-\pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}+4 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-6 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}+16 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+48 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-8 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-8 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-96 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-8 i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}-8 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+48 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+16 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+16 x^{4}+32 x^{3}-176 x^{2}-192 x +576\right)}{8 x^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)}$&$406$\\ \hline \end{longtable}"," ",0,"-25/2*ln(x)/x^2+1/8*(-25*I*Pi*csgn(I*x)^2*csgn(I*x^2)+50*I*Pi*csgn(I*x)*csgn(I*x^2)^2-25*I*Pi*csgn(I*x^2)^3+8*x^3+200*x-1200)/x^2-25/8*I*(-Pi^2*csgn(I*x)^4*csgn(I*x^2)^2+4*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3-6*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4+4*Pi^2*csgn(I*x)*csgn(I*x^2)^5-Pi^2*csgn(I*x^2)^6+16*I*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2+48*I*Pi*csgn(I*x)^2*csgn(I*x^2)-8*I*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)-8*I*Pi*x*csgn(I*x^2)^3-96*I*Pi*csgn(I*x)*csgn(I*x^2)^2-8*I*Pi*x^2*csgn(I*x^2)^3-8*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)+48*I*Pi*csgn(I*x^2)^3+16*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2+16*x^4+32*x^3-176*x^2-192*x+576)/x^2/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x))","C"
3342,1,28,31,0.052000," ","int((-x*ln(x)+(2-x)*exp(x)-2*x*ln(2)+3*x^5-3*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{x}+\frac{x^{5}+2 x \ln \left(2\right)+4 x -{\mathrm e}^{x}}{x^{2}}$&$28$\\ default&$x^{3}+\frac{2 \ln \left(2\right)}{x}+\frac{4}{x}+\frac{\ln \left(x \right)}{x}-\frac{{\mathrm e}^{x}}{x^{2}}$&$30$\\ \hline \end{longtable}"," ",0,"ln(x)/x+(x^5+2*x*ln(2)+4*x-exp(x))/x^2","A"
3343,1,14,10,0.015000," ","int((50*ln(3*x)+230)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 \ln \left(3 x \right)^{2}+230 \ln \left(x \right)$&$14$\\ derivativedivides&$25 \ln \left(3 x \right)^{2}+230 \ln \left(3 x \right)$&$16$\\ default&$25 \ln \left(3 x \right)^{2}+230 \ln \left(3 x \right)$&$16$\\ norman&$25 \ln \left(3 x \right)^{2}+230 \ln \left(3 x \right)$&$16$\\ \hline \end{longtable}"," ",0,"25*ln(3*x)^2+230*ln(x)","A"
3344,1,17,21,0.011000," ","int(1/2*(exp(x)*x^2-2*x^3+2*x^2+8)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{2}}{2}+x -\frac{4}{x}+\frac{{\mathrm e}^{x}}{2}$&$17$\\ risch&$-\frac{x^{2}}{2}+x -\frac{4}{x}+\frac{{\mathrm e}^{x}}{2}$&$17$\\ norman&$\frac{-4+x^{2}-\frac{x^{3}}{2}+\frac{{\mathrm e}^{x} x}{2}}{x}$&$20$\\ \hline \end{longtable}"," ",0,"-1/2*x^2+x-4/x+1/2*exp(x)","A"
3345,1,18,13,0.483000," ","int((-16*ln(3)-256)/(16*ln(3)^2+(40*x+512)*ln(3)+25*x^2+640*x+4096),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\frac{256}{5}+\frac{16 \ln \left(3\right)}{5}}{4 \ln \left(3\right)+5 x +64}$&$18$\\ norman&$\frac{\frac{256}{5}+\frac{16 \ln \left(3\right)}{5}}{4 \ln \left(3\right)+5 x +64}$&$19$\\ default&$-\frac{-16 \ln \left(3\right)-256}{5 \left(4 \ln \left(3\right)+5 x +64\right)}$&$20$\\ risch&$\frac{4 \ln \left(3\right)}{5 \left(\ln \left(3\right)+\frac{5 x}{4}+16\right)}+\frac{64}{5 \left(\ln \left(3\right)+\frac{5 x}{4}+16\right)}$&$26$\\ meijerg&$-\frac{64 x}{5 \left(\frac{4 \ln \left(3\right)}{5}+\frac{64}{5}\right) \left(1+\frac{5 x}{4 \left(\ln \left(3\right)+16\right)}\right) \left(\ln \left(3\right)+16\right)}-\frac{4 \ln \left(3\right) x}{5 \left(\frac{4 \ln \left(3\right)}{5}+\frac{64}{5}\right) \left(1+\frac{5 x}{4 \left(\ln \left(3\right)+16\right)}\right) \left(\ln \left(3\right)+16\right)}$&$64$\\ \hline \end{longtable}"," ",0,"16/5*(ln(3)+16)/(4*ln(3)+5*x+64)","A"
3346,1,17,18,0.023000," ","int((-6*exp(x)*exp(x^2+x-3)+(12*x^2-6)*exp(x))/exp(x^2+x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-6 \,{\mathrm e}^{x}-6 x \,{\mathrm e}^{-x^{2}+3}$&$17$\\ norman&$\left(-6 \,{\mathrm e}^{x} x -6 \,{\mathrm e}^{x} {\mathrm e}^{x^{2}+x -3}\right) {\mathrm e}^{-x^{2}-x +3}$&$28$\\ default&$-3 \,{\mathrm e}^{3} \sqrt{\pi}\, \erf \left(x \right)+12 \,{\mathrm e}^{3} \left(-\frac{x \,{\mathrm e}^{-x^{2}}}{2}+\frac{\sqrt{\pi}\, \erf \left(x \right)}{4}\right)-6 \,{\mathrm e}^{x}$&$40$\\ \hline \end{longtable}"," ",0,"-6*exp(x)-6*x*exp(-x^2+3)","A"
3347,1,13,20,0.047000," ","int(((-exp(x)*x-x-1)*exp(x+ln(x)+exp(x))+2*x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-x \,{\mathrm e}^{{\mathrm e}^{x}+x}$&$13$\\ norman&$x^{2}-{\mathrm e}^{x +\ln \left(x \right)+{\mathrm e}^{x}}$&$14$\\ \hline \end{longtable}"," ",0,"x^2-x*exp(exp(x)+x)","A"
3348,0,0,31,0.077000," ","int(((5*x^2+1)*ln(25*x^5+10*x^3+x)^2*ln(x/exp(2*x^3*ln(2)/ln(25*x^5+10*x^3+x)))+(-5*x^2-1)*ln(25*x^5+10*x^3+x)^2+2*(15*x^5+3*x^3)*ln(2)*ln(25*x^5+10*x^3+x)+2*(-25*x^5-x^3)*ln(2))/(5*x^2+1)/ln(25*x^5+10*x^3+x)^2/ln(x/exp(2*x^3*ln(2)/ln(25*x^5+10*x^3+x)))^2,x)","\[\int \frac{\left(5 x^{2}+1\right) \ln \left(25 x^{5}+10 x^{3}+x \right)^{2} \ln \left(x \,{\mathrm e}^{-\frac{2 x^{3} \ln \left(2\right)}{\ln \left(25 x^{5}+10 x^{3}+x \right)}}\right)+\left(-5 x^{2}-1\right) \ln \left(25 x^{5}+10 x^{3}+x \right)^{2}+2 \left(15 x^{5}+3 x^{3}\right) \ln \left(2\right) \ln \left(25 x^{5}+10 x^{3}+x \right)+2 \left(-25 x^{5}-x^{3}\right) \ln \left(2\right)}{\left(5 x^{2}+1\right) \ln \left(25 x^{5}+10 x^{3}+x \right)^{2} \ln \left(x \,{\mathrm e}^{-\frac{2 x^{3} \ln \left(2\right)}{\ln \left(25 x^{5}+10 x^{3}+x \right)}}\right)^{2}}\, dx\]"," ",0,"int(((5*x^2+1)*ln(25*x^5+10*x^3+x)^2*ln(x/exp(2*x^3*ln(2)/ln(25*x^5+10*x^3+x)))+(-5*x^2-1)*ln(25*x^5+10*x^3+x)^2+2*(15*x^5+3*x^3)*ln(2)*ln(25*x^5+10*x^3+x)+2*(-25*x^5-x^3)*ln(2))/(5*x^2+1)/ln(25*x^5+10*x^3+x)^2/ln(x/exp(2*x^3*ln(2)/ln(25*x^5+10*x^3+x)))^2,x)","F"
3349,1,34,29,0.135000," ","int((((((4+x)*ln(4+x)+x^2+4*x)*ln(ln(4+x)+x)+(4+x)*exp(3)*ln(4+x)+(x^2+4*x)*exp(3))*ln(ln(ln(4+x)+x)+exp(3))^2+(-2*x^2-10*x)*ln(ln(ln(4+x)+x)+exp(3)))*exp(ln(ln(ln(4+x)+x)+exp(3))^2/x)*exp(exp(ln(ln(ln(4+x)+x)+exp(3))^2/x))+((x^3+4*x^2)*ln(4+x)+x^4+4*x^3)*ln(ln(4+x)+x)+(x^3+4*x^2)*exp(3)*ln(4+x)+(x^4+4*x^3)*exp(3))/((2*(x^3+4*x^2)*ln(2)*ln(4+x)+2*(x^4+4*x^3)*ln(2))*ln(ln(4+x)+x)+2*(x^3+4*x^2)*exp(3)*ln(2)*ln(4+x)+2*(x^4+4*x^3)*exp(3)*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{2 \ln \left(2\right)}-\frac{{\mathrm e}^{{\mathrm e}^{\frac{\ln \left(\ln \left(\ln \left(4+x \right)+x \right)+{\mathrm e}^{3}\right)^{2}}{x}}}}{2 \ln \left(2\right)}$&$34$\\ \hline \end{longtable}"," ",0,"1/2*x/ln(2)-1/2/ln(2)*exp(exp(ln(ln(ln(4+x)+x)+exp(3))^2/x))","A"
3350,1,26,12,0.018000," ","int(1/2*(2*x+1)*exp(2)+x^3+3/2*x^2+7/2*x+3/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(x^{3}+2 \,{\mathrm e}^{2} x +2 x^{2}+2 \,{\mathrm e}^{2}+7 x +6\right)}{4}$&$26$\\ default&$\frac{\left(x^{2}+x \right) {\mathrm e}^{2}}{2}+\frac{x^{4}}{4}+\frac{x^{3}}{2}+\frac{7 x^{2}}{4}+\frac{3 x}{2}$&$29$\\ norman&$\left(\frac{7}{4}+\frac{{\mathrm e}^{2}}{2}\right) x^{2}+\left(\frac{{\mathrm e}^{2}}{2}+\frac{3}{2}\right) x +\frac{x^{3}}{2}+\frac{x^{4}}{4}$&$30$\\ risch&$\frac{x^{2} {\mathrm e}^{2}}{2}+\frac{{\mathrm e}^{2} x}{2}+\frac{x^{4}}{4}+\frac{x^{3}}{2}+\frac{7 x^{2}}{4}+\frac{3 x}{2}$&$32$\\ \hline \end{longtable}"," ",0,"1/4*x*(x^3+2*exp(2)*x+2*x^2+2*exp(2)+7*x+6)","B"
3351,1,34,29,0.101000," ","int(((2*x^4+19*x^3+63*x^2+81*x+27)*ln(1/3*exp(2)/x)^3+(-6*x^5-57*x^4-189*x^3-243*x^2-81*x)*ln(1/3*exp(2)/x)^2+(6*x^6+57*x^5+189*x^4+243*x^3+81*x^2+6*x)*ln(1/3*exp(2)/x)-2*x^7-19*x^6-63*x^5-81*x^4-25*x^3+2*x^2+6*x)/((x^3+9*x^2+27*x+27)*ln(1/3*exp(2)/x)^3+(-3*x^4-27*x^3-81*x^2-81*x)*ln(1/3*exp(2)/x)^2+(3*x^5+27*x^4+81*x^3+81*x^2)*ln(1/3*exp(2)/x)-x^6-9*x^5-27*x^4-27*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+x +\frac{x^{2}}{\left(x^{2}+6 x +9\right) \left(x -\ln \left(\frac{{\mathrm e}^{2}}{3 x}\right)\right)^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"x^2+x+x^2/(x^2+6*x+9)/(x-ln(1/3*exp(2)/x))^2","A"
3352,1,20,24,0.019000," ","int(exp(2)-1/3*exp(1)-3*x^2+2*x-7/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\left({\mathrm e}^{2}-\frac{{\mathrm e}}{3}-\frac{7}{3}\right) x -x^{3}$&$20$\\ gosper&$\frac{x \left(-3 x^{2}+3 \,{\mathrm e}^{2}-{\mathrm e}+3 x -7\right)}{3}$&$22$\\ default&${\mathrm e}^{2} x -\frac{x \,{\mathrm e}}{3}-x^{3}+x^{2}-\frac{7 x}{3}$&$22$\\ risch&${\mathrm e}^{2} x -\frac{x \,{\mathrm e}}{3}-x^{3}+x^{2}-\frac{7 x}{3}$&$22$\\ \hline \end{longtable}"," ",0,"x^2+(exp(2)-1/3*exp(1)-7/3)*x-x^3","A"
3353,1,11,16,0.455000," ","int((-x*ln(x)+x-5)/(x^2-5*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(x \right)\right)-\ln \left(x -5\right)$&$11$\\ norman&$\ln \left(\ln \left(x \right)\right)-\ln \left(x -5\right)$&$11$\\ risch&$\ln \left(\ln \left(x \right)\right)-\ln \left(x -5\right)$&$11$\\ \hline \end{longtable}"," ",0,"ln(ln(x))-ln(x-5)","A"
3354,1,23,19,0.059000," ","int((((2*x+1)*exp(16/625)-2*x)*exp(((x+9)*exp(16/625)-3-x)/exp(16/625))^2+exp(16/625))/exp(16/625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +x \,{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}} x +9 \,{\mathrm e}^{\frac{16}{625}}-x -3\right) {\mathrm e}^{-\frac{16}{625}}}$&$23$\\ norman&$x +x \,{\mathrm e}^{2 \left(\left(x +9\right) {\mathrm e}^{\frac{16}{625}}-3-x \right) {\mathrm e}^{-\frac{16}{625}}}$&$24$\\ default&${\mathrm e}^{-\frac{16}{625}} \left(\frac{{\mathrm e}^{\frac{16}{625}} \left(\frac{{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}} {\mathrm e}^{\frac{16}{625}}}{2}-\frac{3 \,{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}}}{{\mathrm e}^{\frac{16}{625}}-1}+\frac{12 \,{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}} {\mathrm e}^{\frac{16}{625}}}{{\mathrm e}^{\frac{16}{625}}-1}-\frac{9 \,{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}} {\mathrm e}^{\frac{32}{625}}}{{\mathrm e}^{\frac{16}{625}}-1}-\frac{2 \,{\mathrm e}^{\frac{16}{625}} \left(\frac{{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}} \left(\left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +3 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}\right)}{2}-\frac{{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}}}{4}\right)}{{\mathrm e}^{\frac{16}{625}}-1}+\frac{2 \,{\mathrm e}^{\frac{32}{625}} \left(\frac{{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}} \left(\left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +3 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}\right)}{2}-\frac{{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}}}{4}\right)}{{\mathrm e}^{\frac{16}{625}}-1}\right)}{{\mathrm e}^{\frac{16}{625}}-1}+{\mathrm e}^{\frac{16}{625}} x \right)$&$341$\\ derivativedivides&$\frac{\frac{{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}} {\mathrm e}^{\frac{16}{625}}}{2}-\frac{3 \,{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}}}{{\mathrm e}^{\frac{16}{625}}-1}+\frac{12 \,{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}} {\mathrm e}^{\frac{16}{625}}}{{\mathrm e}^{\frac{16}{625}}-1}-\frac{9 \,{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}} {\mathrm e}^{\frac{32}{625}}}{{\mathrm e}^{\frac{16}{625}}-1}-\frac{2 \,{\mathrm e}^{\frac{16}{625}} \left(\frac{{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}} \left(\left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +3 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}\right)}{2}-\frac{{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}}}{4}\right)}{{\mathrm e}^{\frac{16}{625}}-1}+\frac{2 \,{\mathrm e}^{\frac{32}{625}} \left(\frac{{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}} \left(\left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +3 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}\right)}{2}-\frac{{\mathrm e}^{2 \left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +6 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}}}{4}\right)}{{\mathrm e}^{\frac{16}{625}}-1}+\left(\left({\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}} x +3 \left(3 \,{\mathrm e}^{\frac{16}{625}}-1\right) {\mathrm e}^{-\frac{16}{625}}\right) {\mathrm e}^{\frac{16}{625}}}{{\mathrm e}^{\frac{16}{625}}-1}$&$355$\\ \hline \end{longtable}"," ",0,"x+x*exp(2*(exp(16/625)*x+9*exp(16/625)-x-3)*exp(-16/625))","A"
3355,1,24,23,0.015000," ","int((-3*x^5-18*x^4-18*x^3-243*x-486)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x^{5}+9 x^{4}+18 x^{3}-243 x -243}{x^{2}}$&$24$\\ risch&$-x^{3}-9 x^{2}-18 x +\frac{243 x +243}{x^{2}}$&$24$\\ default&$-x^{3}-9 x^{2}-18 x +\frac{243}{x}+\frac{243}{x^{2}}$&$25$\\ norman&$\frac{-x^{5}-9 x^{4}-18 x^{3}+243 x +243}{x^{2}}$&$25$\\ \hline \end{longtable}"," ",0,"-(x^5+9*x^4+18*x^3-243*x-243)/x^2","A"
3356,1,58,32,0.598000," ","int(((-4*x^4-80*x^3-300*x^2)*exp(4)^2+(280*x^4+1600*x^3)*exp(4)+36*x^6-1576*x^4)/((4*x^4+80*x^3+600*x^2+2000*x+2500)*exp(4)^4+(-48*x^5-1040*x^4-8400*x^3-30000*x^2-40000*x)*exp(4)^3+(216*x^6+5020*x^5+43552*x^4+167020*x^3+238800*x^2)*exp(4)^2+(-432*x^7-10680*x^6-99112*x^5-408640*x^4-630400*x^3)*exp(4)+324*x^8+8460*x^7+83593*x^6+370360*x^5+620944*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{3}}{x^{2} {\mathrm e}^{8}-6 x^{3} {\mathrm e}^{4}+9 x^{4}+10 x \,{\mathrm e}^{8}-70 x^{2} {\mathrm e}^{4}+\frac{235 x^{3}}{2}+25 \,{\mathrm e}^{8}-200 x \,{\mathrm e}^{4}+394 x^{2}}$&$58$\\ gosper&$-\frac{2 x^{3}}{2 x^{2} {\mathrm e}^{8}-12 x^{3} {\mathrm e}^{4}+18 x^{4}+20 x \,{\mathrm e}^{8}-140 x^{2} {\mathrm e}^{4}+235 x^{3}+50 \,{\mathrm e}^{8}-400 x \,{\mathrm e}^{4}+788 x^{2}}$&$65$\\ norman&$-\frac{2 x^{3}}{2 x^{2} {\mathrm e}^{8}-12 x^{3} {\mathrm e}^{4}+18 x^{4}+20 x \,{\mathrm e}^{8}-140 x^{2} {\mathrm e}^{4}+235 x^{3}+50 \,{\mathrm e}^{8}-400 x \,{\mathrm e}^{4}+788 x^{2}}$&$65$\\ default&$-2 \left(\munderset{\textit{\_R} =\RootOf \left(324 \textit{\_Z}^{8}+\left(-432 \,{\mathrm e}^{4}+8460\right) \textit{\_Z}^{7}+\left(-10680 \,{\mathrm e}^{4}+216 \,{\mathrm e}^{8}+83593\right) \textit{\_Z}^{6}+\left(-48 \,{\mathrm e}^{12}-99112 \,{\mathrm e}^{4}+5020 \,{\mathrm e}^{8}+370360\right) \textit{\_Z}^{5}+\left(-1040 \,{\mathrm e}^{12}-408640 \,{\mathrm e}^{4}+4 \,{\mathrm e}^{16}+43552 \,{\mathrm e}^{8}+620944\right) \textit{\_Z}^{4}+\left(-8400 \,{\mathrm e}^{12}-630400 \,{\mathrm e}^{4}+80 \,{\mathrm e}^{16}+167020 \,{\mathrm e}^{8}\right) \textit{\_Z}^{3}+\left(-30000 \,{\mathrm e}^{12}+600 \,{\mathrm e}^{16}+238800 \,{\mathrm e}^{8}\right) \textit{\_Z}^{2}+\left(-40000 \,{\mathrm e}^{12}+2000 \,{\mathrm e}^{16}\right) \textit{\_Z} +2500 \,{\mathrm e}^{16}\right)}{\sum}\frac{\left(9 \textit{\_R}^{6}+\left(70 \,{\mathrm e}^{4}-{\mathrm e}^{8}-394\right) \textit{\_R}^{4}+20 \left(20 \,{\mathrm e}^{4}-{\mathrm e}^{8}\right) \textit{\_R}^{3}-75 \textit{\_R}^{2} {\mathrm e}^{8}\right) \ln \left(x -\textit{\_R} \right)}{-238800 \textit{\_R} \,{\mathrm e}^{8}-29610 \textit{\_R}^{6}-1296 \textit{\_R}^{7}-250779 \textit{\_R}^{5}-925900 \textit{\_R}^{4}-1241888 \textit{\_R}^{3}-600 \textit{\_R} \,{\mathrm e}^{16}+1512 \textit{\_R}^{6} {\mathrm e}^{4}-1000 \,{\mathrm e}^{16}+945600 \textit{\_R}^{2} {\mathrm e}^{4}+120 \textit{\_R}^{4} {\mathrm e}^{12}-648 \textit{\_R}^{5} {\mathrm e}^{8}-87104 \textit{\_R}^{3} {\mathrm e}^{8}-8 \textit{\_R}^{3} {\mathrm e}^{16}-250530 \textit{\_R}^{2} {\mathrm e}^{8}+12600 \textit{\_R}^{2} {\mathrm e}^{12}-12550 \textit{\_R}^{4} {\mathrm e}^{8}+2080 \textit{\_R}^{3} {\mathrm e}^{12}+30000 \textit{\_R} \,{\mathrm e}^{12}+20000 \,{\mathrm e}^{12}+817280 \textit{\_R}^{3} {\mathrm e}^{4}+247780 \textit{\_R}^{4} {\mathrm e}^{4}+32040 \textit{\_R}^{5} {\mathrm e}^{4}-120 \textit{\_R}^{2} {\mathrm e}^{16}}\right)$&$327$\\ \hline \end{longtable}"," ",0,"-x^3/(x^2*exp(8)-6*x^3*exp(4)+9*x^4+10*x*exp(8)-70*x^2*exp(4)+235/2*x^3+25*exp(8)-200*x*exp(4)+394*x^2)","A"
3357,1,34,23,0.503000," ","int(((10*x^3-100*x^2+250*x)*exp(exp(x)^2/(5*x-25))+((-2*x+11)*exp(1)-26*x+143)*exp(x)^2)/(5*x^2-50*x+125)/exp(exp(x)^2/(5*x-25)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+{\mathrm e}^{-\frac{{\mathrm e}^{2 x}}{5 \left(x -5\right)}} {\mathrm e}+13 \,{\mathrm e}^{-\frac{{\mathrm e}^{2 x}}{5 \left(x -5\right)}}$&$34$\\ norman&$\frac{\left(\left({\mathrm e}+13\right) x +{\mathrm e}^{\frac{{\mathrm e}^{2 x}}{5 x -25}} x^{3}-65-5 \,{\mathrm e}^{\frac{{\mathrm e}^{2 x}}{5 x -25}} x^{2}-5 \,{\mathrm e}\right) {\mathrm e}^{-\frac{{\mathrm e}^{2 x}}{5 x -25}}}{x -5}$&$69$\\ \hline \end{longtable}"," ",0,"x^2+exp(-1/5*exp(2*x)/(x-5))*exp(1)+13*exp(-1/5*exp(2*x)/(x-5))","A"
3358,1,21,28,0.019000," ","int(1/256*(-1250*x+3125)*exp(5)+1875/256*x^2-3125/128*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{625 x \left(x \,{\mathrm e}^{5}-x^{2}-5 \,{\mathrm e}^{5}+5 x \right)}{256}$&$21$\\ norman&$\left(-\frac{625 \,{\mathrm e}^{5}}{256}-\frac{3125}{256}\right) x^{2}+\frac{625 x^{3}}{256}+\frac{3125 x \,{\mathrm e}^{5}}{256}$&$22$\\ risch&$-\frac{625 x^{2} {\mathrm e}^{5}}{256}+\frac{3125 x \,{\mathrm e}^{5}}{256}+\frac{625 x^{3}}{256}-\frac{3125 x^{2}}{256}$&$24$\\ default&$\frac{{\mathrm e}^{5} \left(-625 x^{2}+3125 x \right)}{256}+\frac{625 x^{3}}{256}-\frac{3125 x^{2}}{256}$&$25$\\ \hline \end{longtable}"," ",0,"-625/256*x*(x*exp(5)-x^2-5*exp(5)+5*x)","A"
3359,1,49,24,0.122000," ","int((24*exp(12*x-8)^2+(-24*x^2-76*x-150)*exp(12*x-8)+4*x^3+18*x^2+42*x+36)*exp(exp(12*x-8)^2+(-2*x^2-6*x-12)*exp(12*x-8)+x^4+6*x^3+21*x^2+36*x+36)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +{\mathrm e}^{{\mathrm e}^{24 x -16}+\left(-2 x^{2}-6 x -12\right) {\mathrm e}^{12 x -8}+x^{4}+6 x^{3}+21 x^{2}+36 x +36}$&$49$\\ norman&$-x +{\mathrm e}^{{\mathrm e}^{24 x -16}+\left(-2 x^{2}-6 x -12\right) {\mathrm e}^{12 x -8}+x^{4}+6 x^{3}+21 x^{2}+36 x +36}$&$49$\\ risch&$-x +{\mathrm e}^{x^{4}-2 \,{\mathrm e}^{12 x -8} x^{2}+6 x^{3}-6 \,{\mathrm e}^{12 x -8} x +21 x^{2}+{\mathrm e}^{24 x -16}-12 \,{\mathrm e}^{12 x -8}+36 x +36}$&$58$\\ \hline \end{longtable}"," ",0,"-x+exp(exp(12*x-8)^2+(-2*x^2-6*x-12)*exp(12*x-8)+x^4+6*x^3+21*x^2+36*x+36)","A"
3360,1,34,25,0.053000," ","int((10*ln(x)^2+(-10*x+70)*ln(x)+exp(2)*x-29*x+120)/(5*x*ln(x)^2+(-10*x^2+40*x)*ln(x)+x^2*exp(2)+5*x^3-39*x^2+80*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right)-\ln \left(\ln \left(x \right)^{2}+\left(-2 x +8\right) \ln \left(x \right)+\frac{{\mathrm e}^{2} x}{5}+x^{2}-\frac{39 x}{5}+16\right)$&$34$\\ norman&$2 \ln \left(x \right)-\ln \left({\mathrm e}^{2} x +5 \ln \left(x \right)^{2}-10 x \ln \left(x \right)+5 x^{2}+40 \ln \left(x \right)-39 x +80\right)$&$38$\\ \hline \end{longtable}"," ",0,"2*ln(x)-ln(ln(x)^2+(-2*x+8)*ln(x)+1/5*exp(2)*x+x^2-39/5*x+16)","A"
3361,1,42,18,0.480000," ","int((((-64*x^3+256*x)*ln(x^2-4)+4096*x)*ln(ln(x^2-4))+(x^5+60*x^3-256*x)*ln(x^2-4)-64*x^3-4096*x)/(1024*x^2-4096)/ln(x^2-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x^{2}-4\right)\right)^{2}-\frac{\ln \left(\ln \left(x^{2}-4\right)\right) x^{2}}{32}+\frac{x^{4}}{4096}+\frac{x^{2}}{32}-2 \ln \left(\ln \left(x^{2}-4\right)\right)$&$42$\\ \hline \end{longtable}"," ",0,"ln(ln(x^2-4))^2-1/32*ln(ln(x^2-4))*x^2+1/4096*x^4+1/32*x^2-2*ln(ln(x^2-4))","B"
3362,1,107,25,0.527000," ","int((((6*x*exp(1)-6*x^2+18*x)*exp(x)^2+(72*x*exp(1)-72*x^2+216*x)*exp(x))*ln(3-x+exp(1))^2+((-6*x*exp(1)+6*x^2-18*x)*exp(x)*ln(x)^2+((-12*exp(1)+12*x-36)*exp(x)-144*exp(1)+144*x-432)*ln(x)+((12*x^2+6*x)*exp(1)-12*x^3+30*x^2+12*x)*exp(x)^2+((144*x^2+144*x)*exp(1)-144*x^3+288*x^2+288*x)*exp(x)+864*x*exp(1)-864*x^2+1728*x)*ln(3-x+exp(1))+(12*exp(1)-12*x+36)*ln(x)^3+(((-6*x^2-6*x)*exp(1)+6*x^3-12*x^2-12*x)*exp(x)-72*x*exp(1)+72*x^2-144*x)*ln(x)^2+((-12*x*exp(1)+12*x^2-36*x)*exp(x)-144*x*exp(1)+144*x^2-432*x)*ln(x)+((6*x^3+6*x^2)*exp(1)-6*x^4+12*x^3+12*x^2)*exp(x)^2+((72*x^3+144*x^2)*exp(1)-72*x^4+72*x^3+288*x^2)*exp(x)+864*x^2*exp(1)-864*x^3+1728*x^2)/(x*exp(1)-x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(3 \,{\mathrm e}^{2 x}+72 \,{\mathrm e}^{x}+432\right) \ln \left(3-x +{\mathrm e}\right)^{2}+\left(6 x \,{\mathrm e}^{2 x}-6 \,{\mathrm e}^{x} \ln \left(x \right)^{2}+144 \,{\mathrm e}^{x} x -72 \ln \left(x \right)^{2}+864 x \right) \ln \left(3-x +{\mathrm e}\right)+3 \,{\mathrm e}^{2 x} x^{2}-6 x \,{\mathrm e}^{x} \ln \left(x \right)^{2}+3 \ln \left(x \right)^{4}+72 \,{\mathrm e}^{x} x^{2}-72 x \ln \left(x \right)^{2}+432 x^{2}$&$107$\\ \hline \end{longtable}"," ",0,"(3*exp(2*x)+72*exp(x)+432)*ln(3-x+exp(1))^2+(6*x*exp(2*x)-6*exp(x)*ln(x)^2+144*exp(x)*x-72*ln(x)^2+864*x)*ln(3-x+exp(1))+3*exp(2*x)*x^2-6*x*exp(x)*ln(x)^2+3*ln(x)^4+72*exp(x)*x^2-72*x*ln(x)^2+432*x^2","B"
3363,1,21,18,0.527000," ","int((8*ln(2)^2+2*(-4*x+1)*ln(2)+2*x^2+3)/(4*ln(2)^2-4*x*ln(2)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -\frac{2 \ln \left(2\right)+3}{x -2 \ln \left(2\right)}$&$21$\\ risch&$2 x +\frac{\ln \left(2\right)}{\ln \left(2\right)-\frac{x}{2}}+\frac{3}{2 \left(\ln \left(2\right)-\frac{x}{2}\right)}$&$26$\\ gosper&$\frac{-2 x^{2}+3+8 \ln \left(2\right)^{2}+2 \ln \left(2\right)}{2 \ln \left(2\right)-x}$&$29$\\ norman&$\frac{-2 x^{2}+3+8 \ln \left(2\right)^{2}+2 \ln \left(2\right)}{2 \ln \left(2\right)-x}$&$29$\\ meijerg&$\frac{2 x}{1-\frac{x}{2 \ln \left(2\right)}}+\frac{3 x}{4 \ln \left(2\right)^{2} \left(1-\frac{x}{2 \ln \left(2\right)}\right)}+\frac{x}{2 \left(1-\frac{x}{2 \ln \left(2\right)}\right) \ln \left(2\right)}-8 \ln \left(2\right) \left(\frac{x}{2 \left(1-\frac{x}{2 \ln \left(2\right)}\right) \ln \left(2\right)}+\ln \left(1-\frac{x}{2 \ln \left(2\right)}\right)\right)-4 \ln \left(2\right) \left(-\frac{x \left(-\frac{3 x}{2 \ln \left(2\right)}+6\right)}{6 \ln \left(2\right) \left(1-\frac{x}{2 \ln \left(2\right)}\right)}-2 \ln \left(1-\frac{x}{2 \ln \left(2\right)}\right)\right)$&$129$\\ \hline \end{longtable}"," ",0,"2*x-(2*ln(2)+3)/(x-2*ln(2))","A"
3364,1,51,19,0.082000," ","int(1/2*((16*x^2*ln(2)+20)*exp(1/2*(2*(4*x^2+13*x)*ln(2)-10)/x/ln(2))^2+(80*x^2*ln(2)+100)*exp(1/2*(2*(4*x^2+13*x)*ln(2)-10)/x/ln(2)))/x^2/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{8 x^{2} \ln \left(2\right)+26 x \ln \left(2\right)-10}{x \ln \left(2\right)}}+10 \,{\mathrm e}^{\frac{4 x^{2} \ln \left(2\right)+13 x \ln \left(2\right)-5}{x \ln \left(2\right)}}$&$51$\\ norman&$\frac{x \,{\mathrm e}^{\frac{2 \left(4 x^{2}+13 x \right) \ln \left(2\right)-10}{x \ln \left(2\right)}}+10 x \,{\mathrm e}^{\frac{2 \left(4 x^{2}+13 x \right) \ln \left(2\right)-10}{2 x \ln \left(2\right)}}}{x}$&$63$\\ \hline \end{longtable}"," ",0,"exp(2*(4*x^2*ln(2)+13*x*ln(2)-5)/x/ln(2))+10*exp((4*x^2*ln(2)+13*x*ln(2)-5)/x/ln(2))","B"
3365,1,39,23,0.101000," ","int(((3*x^3*exp((4*ln(3)+2*x)/x^2)-12*x^3)*ln(exp((4*ln(3)+2*x)/x^2)-4)+((-24*x+120)*ln(3)+x^3-6*x^2+30*x)*exp((4*ln(3)+2*x)/x^2)-4*x^3)/(3*x^3*exp((4*ln(3)+2*x)/x^2)-12*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(81^{\frac{1}{x^{2}}} {\mathrm e}^{\frac{2}{x}}-4\right)+\frac{x}{3}-5 \ln \left(81^{\frac{1}{x^{2}}} {\mathrm e}^{\frac{2}{x}}-4\right)$&$39$\\ norman&$\frac{x^{3} \ln \left({\mathrm e}^{\frac{4 \ln \left(3\right)+2 x}{x^{2}}}-4\right)-5 x^{2} \ln \left({\mathrm e}^{\frac{4 \ln \left(3\right)+2 x}{x^{2}}}-4\right)+\frac{x^{3}}{3}}{x^{2}}$&$52$\\ \hline \end{longtable}"," ",0,"x*ln(81^(1/x^2)*exp(2/x)-4)+1/3*x-5*ln(81^(1/x^2)*exp(2/x)-4)","A"
3366,1,23,20,0.026000," ","int(((-6*x^3+4*x^2+40*x)*ln(x)*ln(ln(x))-2)*exp(-ln(ln(ln(x)))-x^3+x^2+20*x+100)^2/x/ln(x)/ln(ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-2 x^{3}+2 x^{2}+40 x +200}}{\ln \left(\ln \left(x \right)\right)^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"1/ln(ln(x))^2*exp(-2*x^3+2*x^2+40*x+200)","A"
3367,1,26,28,0.048000," ","int(((15*x^4-120*x^2+240)*exp(2)+10*x^6-80*x^4+6*x^3+160*x^2)/(5*x^6-40*x^4+80*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -\frac{3 \,{\mathrm e}^{2}}{x}-\frac{3}{20 \left(x -2\right)}+\frac{3}{20 \left(2+x \right)}$&$26$\\ risch&$2 x +\frac{-3 x^{2} {\mathrm e}^{2}+12 \,{\mathrm e}^{2}-\frac{3 x}{5}}{x \left(x^{2}-4\right)}$&$31$\\ norman&$\frac{-\frac{3 x}{5}+\left(-3 \,{\mathrm e}^{2}-8\right) x^{2}+2 x^{4}+12 \,{\mathrm e}^{2}}{x \left(x^{2}-4\right)}$&$35$\\ gosper&$-\frac{-10 x^{4}+15 x^{2} {\mathrm e}^{2}+40 x^{2}-60 \,{\mathrm e}^{2}+3 x}{5 x \left(x^{2}-4\right)}$&$38$\\ \hline \end{longtable}"," ",0,"2*x-3*exp(2)/x-3/20/(x-2)+3/20/(2+x)","A"
3368,1,20,23,0.063000," ","int(((-8*x^8*ln(x^2)-16*x^8+32*x^7)*exp(x*ln(x^2))+32*x^7*ln(2*ln(2))-32*x^7)/(exp(x*ln(x^2))^3+(3*ln(2*ln(2))-3)*exp(x*ln(x^2))^2+(3*ln(2*ln(2))^2-6*ln(2*ln(2))+3)*exp(x*ln(x^2))+ln(2*ln(2))^3-3*ln(2*ln(2))^2+3*ln(2*ln(2))-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x^{8}}{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)+\left(x^{2}\right)^{x}-1\right)^{2}}$&$20$\\ \hline \end{longtable}"," ",0,"4*x^8/(ln(2)+ln(ln(2))+(x^2)^x-1)^2","A"
3369,1,16,23,0.048000," ","int(1/25*(25*exp(x)+3*x^2+20*x)*exp(1/25*x^3+2/5*x^2-4)*exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{3}}{25}+\frac{2 x^{2}}{5}-4+{\mathrm e}^{x}}$&$16$\\ norman&${\mathrm e}^{\frac{1}{25} x^{3}+\frac{2}{5} x^{2}-4} {\mathrm e}^{{\mathrm e}^{x}}$&$18$\\ \hline \end{longtable}"," ",0,"exp(1/25*x^3+2/5*x^2-4+exp(x))","A"
3370,1,22,21,0.087000," ","int(1/5*((-x^2-2*x)*ln(2)+(-3-x)*exp(4)-x^3-x^2)*exp(8-x)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{8-x} \left(x \ln \left(2\right)+x^{2}+{\mathrm e}^{4}\right)}{5 x^{3}}$&$22$\\ risch&$\frac{{\mathrm e}^{8-x} \left(x \ln \left(2\right)+x^{2}+{\mathrm e}^{4}\right)}{5 x^{3}}$&$22$\\ norman&$\frac{\frac{x^{2} {\mathrm e}^{8-x}}{5}+\frac{{\mathrm e}^{4} {\mathrm e}^{8-x}}{5}+\frac{x \ln \left(2\right) {\mathrm e}^{8-x}}{5}}{x^{3}}$&$38$\\ derivativedivides&$\frac{{\mathrm e}^{8-x}}{5 x}-\frac{{\mathrm e}^{4} \left(-\frac{11 \,{\mathrm e}^{8-x}}{6 x^{2}}+\frac{11 \,{\mathrm e}^{8-x}}{6 x}-\frac{11 \,{\mathrm e}^{8} \expIntegralEi \left(1, x\right)}{6}+\frac{8 \,{\mathrm e}^{8-x}}{3 x^{3}}\right)}{5}+\frac{11 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{8-x}}{3 x^{3}}-\frac{{\mathrm e}^{8-x}}{6 x^{2}}+\frac{{\mathrm e}^{8-x}}{6 x}-\frac{{\mathrm e}^{8} \expIntegralEi \left(1, x\right)}{6}\right)}{5}+\frac{\ln \left(2\right) {\mathrm e}^{8-x}}{5 x^{2}}$&$116$\\ default&$\frac{{\mathrm e}^{8-x}}{5 x}-\frac{{\mathrm e}^{4} \left(-\frac{11 \,{\mathrm e}^{8-x}}{6 x^{2}}+\frac{11 \,{\mathrm e}^{8-x}}{6 x}-\frac{11 \,{\mathrm e}^{8} \expIntegralEi \left(1, x\right)}{6}+\frac{8 \,{\mathrm e}^{8-x}}{3 x^{3}}\right)}{5}+\frac{11 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{8-x}}{3 x^{3}}-\frac{{\mathrm e}^{8-x}}{6 x^{2}}+\frac{{\mathrm e}^{8-x}}{6 x}-\frac{{\mathrm e}^{8} \expIntegralEi \left(1, x\right)}{6}\right)}{5}+\frac{\ln \left(2\right) {\mathrm e}^{8-x}}{5 x^{2}}$&$116$\\ meijerg&$\frac{\left(-\ln \left(2\right)-1\right) {\mathrm e}^{8} \left(-\frac{1}{x}+1+\frac{-2 x +2}{2 x}-\frac{{\mathrm e}^{-x}}{x}+\expIntegralEi \left(1, x\right)\right)}{5}+\frac{\left(-{\mathrm e}^{4}-2 \ln \left(2\right)\right) {\mathrm e}^{8} \left(-\frac{1}{2 x^{2}}+\frac{1}{x}-\frac{3}{4}+\frac{9 x^{2}-12 x +6}{12 x^{2}}-\frac{\left(-3 x +3\right) {\mathrm e}^{-x}}{6 x^{2}}-\frac{\expIntegralEi \left(1, x\right)}{2}\right)}{5}+\frac{{\mathrm e}^{8} \expIntegralEi \left(1, x\right)}{5}-\frac{3 \,{\mathrm e}^{12} \left(-\frac{1}{3 x^{3}}+\frac{1}{2 x^{2}}-\frac{1}{2 x}+\frac{11}{36}+\frac{-22 x^{3}+36 x^{2}-36 x +24}{72 x^{3}}-\frac{\left(4 x^{2}-4 x +8\right) {\mathrm e}^{-x}}{24 x^{3}}+\frac{\expIntegralEi \left(1, x\right)}{6}\right)}{5}$&$170$\\ \hline \end{longtable}"," ",0,"1/5*exp(8-x)*(x*ln(2)+x^2+exp(4))/x^3","A"
3371,1,14,16,0.056000," ","int((x^2+2*x)*exp(x^2/(x^2+x+1))/(x^4+2*x^3+3*x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{x^{2}}{x^{2}+x +1}}$&$14$\\ risch&${\mathrm e}^{\frac{x^{2}}{x^{2}+x +1}}$&$14$\\ norman&$\frac{x \,{\mathrm e}^{\frac{x^{2}}{x^{2}+x +1}}+x^{2} {\mathrm e}^{\frac{x^{2}}{x^{2}+x +1}}+{\mathrm e}^{\frac{x^{2}}{x^{2}+x +1}}}{x^{2}+x +1}$&$56$\\ \hline \end{longtable}"," ",0,"exp(x^2/(x^2+x+1))","A"
3372,1,20,20,0.493000," ","int(((70*exp(1)-154*x+14)*ln(-2*exp(1)+22/5*x-2/5)-150*exp(1)+330*x+124)/(5*exp(1)-11*x+1)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(30-14 \ln \left(-2 \,{\mathrm e}+\frac{22 x}{5}-\frac{2}{5}\right)\right) {\mathrm e}^{-x}$&$20$\\ risch&$-14 \,{\mathrm e}^{-x} \ln \left(-2 \,{\mathrm e}+\frac{22 x}{5}-\frac{2}{5}\right)+30 \,{\mathrm e}^{-x}$&$24$\\ \hline \end{longtable}"," ",0,"(30-14*ln(-2*exp(1)+22/5*x-2/5))/exp(x)","A"
3373,1,246,27,0.183000," ","int((5*ln(exp((-x-1)*exp(x)-x^3+9)/x^2)+(5*x^2+10*x)*exp(x)+15*x^3+10)/ln(exp((-x-1)*exp(x)-x^3+9)/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{10 i x}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{9-{\mathrm e}^{x} x -x^{3}-{\mathrm e}^{x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{9-{\mathrm e}^{x} x -x^{3}-{\mathrm e}^{x}}}{x^{2}}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{9-{\mathrm e}^{x} x -x^{3}-{\mathrm e}^{x}}}{x^{2}}\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{9-{\mathrm e}^{x} x -x^{3}-{\mathrm e}^{x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{9-{\mathrm e}^{x} x -x^{3}-{\mathrm e}^{x}}}{x^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{9-{\mathrm e}^{x} x -x^{3}-{\mathrm e}^{x}}}{x^{2}}\right)^{3}+4 i \ln \left(x \right)-2 i \ln \left({\mathrm e}^{9-{\mathrm e}^{x} x -x^{3}-{\mathrm e}^{x}}\right)}$&$246$\\ \hline \end{longtable}"," ",0,"-10*I*x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I/x^2)*csgn(I*exp(9-exp(x)*x-x^3-exp(x)))*csgn(I*exp(9-exp(x)*x-x^3-exp(x))/x^2)+Pi*csgn(I/x^2)*csgn(I*exp(9-exp(x)*x-x^3-exp(x))/x^2)^2+Pi*csgn(I*exp(9-exp(x)*x-x^3-exp(x)))*csgn(I*exp(9-exp(x)*x-x^3-exp(x))/x^2)^2-Pi*csgn(I*exp(9-exp(x)*x-x^3-exp(x))/x^2)^3+4*I*ln(x)-2*I*ln(exp(9-exp(x)*x-x^3-exp(x))))","C"
3374,1,87,31,0.050000," ","int(1/390625*((24*x^5-5*x^4)*exp(exp(1))^8+(9600*x^5-2000*x^4)*exp(exp(1))^6+(1440000*x^5-300000*x^4)*exp(exp(1))^4+(96000000*x^5-20000000*x^4)*exp(exp(1))^2+2400000000*x^5-500000000*x^4-4687500*x^2+781250*x)*ln(x)+1/390625*(4*x^5-x^4)*exp(exp(1))^8+1/390625*(1600*x^5-400*x^4)*exp(exp(1))^6+1/390625*(240000*x^5-60000*x^4)*exp(exp(1))^4+1/390625*(16000000*x^5-4000000*x^4)*exp(exp(1))^2+1024*x^5-256*x^4-4*x^2+x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2} \ln \left(x \right)+\left(-\frac{{\mathrm e}^{8 \,{\mathrm e}}}{390625}-\frac{16 \,{\mathrm e}^{6 \,{\mathrm e}}}{15625}-\frac{96 \,{\mathrm e}^{4 \,{\mathrm e}}}{625}-\frac{256 \,{\mathrm e}^{2 \,{\mathrm e}}}{25}-256\right) x^{5} \ln \left(x \right)+\left(\frac{4 \,{\mathrm e}^{8 \,{\mathrm e}}}{390625}+\frac{64 \,{\mathrm e}^{6 \,{\mathrm e}}}{15625}+\frac{384 \,{\mathrm e}^{4 \,{\mathrm e}}}{625}+\frac{1024 \,{\mathrm e}^{2 \,{\mathrm e}}}{25}+1024\right) x^{6} \ln \left(x \right)-4 x^{3} \ln \left(x \right)$&$87$\\ risch&$\frac{x^{2} \left(4 \,{\mathrm e}^{8 \,{\mathrm e}} x^{4}-{\mathrm e}^{8 \,{\mathrm e}} x^{3}+1600 \,{\mathrm e}^{6 \,{\mathrm e}} x^{4}-400 \,{\mathrm e}^{6 \,{\mathrm e}} x^{3}+240000 \,{\mathrm e}^{4 \,{\mathrm e}} x^{4}-60000 \,{\mathrm e}^{4 \,{\mathrm e}} x^{3}+16000000 x^{4} {\mathrm e}^{2 \,{\mathrm e}}-4000000 \,{\mathrm e}^{2 \,{\mathrm e}} x^{3}+400000000 x^{4}-100000000 x^{3}-1562500 x +390625\right) \ln \left(x \right)}{390625}$&$103$\\ default&$x^{2} \ln \left(x \right)-4 x^{3} \ln \left(x \right)+1024 x^{6} \ln \left(x \right)-256 x^{5} \ln \left(x \right)-\frac{2 \,{\mathrm e}^{8 \,{\mathrm e}} x^{6}}{1171875}+\frac{x^{5} {\mathrm e}^{8 \,{\mathrm e}}}{1953125}-\frac{32 \,{\mathrm e}^{6 \,{\mathrm e}} x^{6}}{46875}+\frac{16 x^{5} {\mathrm e}^{6 \,{\mathrm e}}}{78125}-\frac{64 \,{\mathrm e}^{4 \,{\mathrm e}} x^{6}}{625}+\frac{96 x^{5} {\mathrm e}^{4 \,{\mathrm e}}}{3125}-\frac{512 \,{\mathrm e}^{2 \,{\mathrm e}} x^{6}}{75}+\frac{256 x^{5} {\mathrm e}^{2 \,{\mathrm e}}}{125}+\frac{4 \,{\mathrm e}^{8 \,{\mathrm e}} x^{6} \ln \left(x \right)}{390625}-\frac{x^{5} \ln \left(x \right) {\mathrm e}^{8 \,{\mathrm e}}}{390625}+\frac{64 \,{\mathrm e}^{6 \,{\mathrm e}} x^{6} \ln \left(x \right)}{15625}-\frac{16 x^{5} \ln \left(x \right) {\mathrm e}^{6 \,{\mathrm e}}}{15625}+\frac{384 \,{\mathrm e}^{4 \,{\mathrm e}} x^{6} \ln \left(x \right)}{625}-\frac{96 x^{5} \ln \left(x \right) {\mathrm e}^{4 \,{\mathrm e}}}{625}+\frac{1024 \,{\mathrm e}^{2 \,{\mathrm e}} x^{6} \ln \left(x \right)}{25}-\frac{256 x^{5} \ln \left(x \right) {\mathrm e}^{2 \,{\mathrm e}}}{25}+\frac{{\mathrm e}^{8 \,{\mathrm e}} \left(\frac{2}{3} x^{6}-\frac{1}{5} x^{5}\right)}{390625}+\frac{{\mathrm e}^{6 \,{\mathrm e}} \left(\frac{800}{3} x^{6}-80 x^{5}\right)}{390625}+\frac{{\mathrm e}^{4 \,{\mathrm e}} \left(40000 x^{6}-12000 x^{5}\right)}{390625}+\frac{{\mathrm e}^{2 \,{\mathrm e}} \left(\frac{8000000}{3} x^{6}-800000 x^{5}\right)}{390625}$&$277$\\ \hline \end{longtable}"," ",0,"x^2*ln(x)+(-1/390625*exp(exp(1))^8-16/15625*exp(exp(1))^6-96/625*exp(exp(1))^4-256/25*exp(exp(1))^2-256)*x^5*ln(x)+(4/390625*exp(exp(1))^8+64/15625*exp(exp(1))^6+384/625*exp(exp(1))^4+1024/25*exp(exp(1))^2+1024)*x^6*ln(x)-4*x^3*ln(x)","B"
3375,1,41,30,0.662000," ","int(1/2*(((-3*x*ln(x)+3*x^2)*exp(3/ln(4/x))-4*x*ln(4/x)^2*ln(x)+(6*x^2-2*x)*ln(4/x)^2)*exp(1/2*exp(3/ln(4/x))-5)-8*x^3*ln(4/x)^2*ln(x)+(10*x^4-2*x^3)*ln(4/x)^2)/ln(4/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{5}-x^{4} \ln \left(x \right)+x^{2} \left(x -\ln \left(x \right)\right) {\mathrm e}^{\frac{{\mathrm e}^{\frac{3}{2 \ln \left(2\right)-\ln \left(x \right)}}}{2}-5}$&$41$\\ \hline \end{longtable}"," ",0,"x^5-x^4*ln(x)+x^2*(x-ln(x))*exp(1/2*exp(3/(2*ln(2)-ln(x)))-5)","A"
3376,1,10,14,0.464000," ","int(-8*ln(2)/(x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{8 \ln \left(2\right)}{x +1}$&$10$\\ default&$\frac{8 \ln \left(2\right)}{x +1}$&$10$\\ norman&$\frac{8 \ln \left(2\right)}{x +1}$&$10$\\ risch&$\frac{8 \ln \left(2\right)}{x +1}$&$10$\\ meijerg&$-\frac{8 \ln \left(2\right) x}{x +1}$&$11$\\ \hline \end{longtable}"," ",0,"8*ln(2)/(x+1)","A"
3377,1,22,26,0.523000," ","int(-8*ln(2)*ln(3)/((256*exp(3)^2+256*exp(3)+64)*ln(2)^2+(-32*x*exp(3)-16*x)*ln(2)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(2\right) \ln \left(3\right)}{2 \left({\mathrm e}^{3} \ln \left(2\right)+\frac{\ln \left(2\right)}{2}-\frac{x}{16}\right)}$&$22$\\ gosper&$-\frac{8 \ln \left(3\right) \ln \left(2\right)}{16 \,{\mathrm e}^{3} \ln \left(2\right)+8 \ln \left(2\right)-x}$&$23$\\ norman&$-\frac{8 \ln \left(3\right) \ln \left(2\right)}{16 \,{\mathrm e}^{3} \ln \left(2\right)+8 \ln \left(2\right)-x}$&$23$\\ meijerg&$\frac{\ln \left(2\right) \ln \left(3\right) x}{\left(-16 \,{\mathrm e}^{3} \ln \left(2\right)-8 \ln \left(2\right)\right) \left(1-\frac{x}{8 \left(2 \,{\mathrm e}^{3} \ln \left(2\right)+\ln \left(2\right)\right)}\right) \left(2 \,{\mathrm e}^{3} \ln \left(2\right)+\ln \left(2\right)\right)}$&$49$\\ \hline \end{longtable}"," ",0,"-1/2*ln(2)*ln(3)/(exp(3)*ln(2)+1/2*ln(2)-1/16*x)","A"
3378,1,92,23,0.074000," ","int((2*exp(x)^2*ln(3*x)^3+(6*x*exp(x)^2+(4*x+4)*exp(x))*ln(3*x)^2+(6*exp(x)^2*x^2+(8*x^2+4*x-4)*exp(x)+8*x)*ln(3*x)+2*exp(x)^2*x^3+(4*x^3-4*x)*exp(x)-8*x)/((exp(x)^2-exp(4)-4)*ln(3*x)^3+(3*x*exp(x)^2+4*exp(x)*x-3*x*exp(4)-12*x)*ln(3*x)^2+(3*exp(x)^2*x^2+8*exp(x)*x^2-3*x^2*exp(4)-8*x^2)*ln(3*x)+exp(x)^2*x^3+4*exp(x)*x^3-x^3*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{2 x}-{\mathrm e}^{4}-4\right)-2 \ln \left(x +\ln \left(3 x \right)\right)+\ln \left(\ln \left(3 x \right)^{2}+\frac{2 x \left(-{\mathrm e}^{2 x}+{\mathrm e}^{4}-2 \,{\mathrm e}^{x}+4\right) \ln \left(3 x \right)}{-{\mathrm e}^{2 x}+{\mathrm e}^{4}+4}+\frac{\left(-{\mathrm e}^{2 x}+{\mathrm e}^{4}-4 \,{\mathrm e}^{x}\right) x^{2}}{-{\mathrm e}^{2 x}+{\mathrm e}^{4}+4}\right)$&$92$\\ \hline \end{longtable}"," ",0,"ln(exp(2*x)-exp(4)-4)-2*ln(x+ln(3*x))+ln(ln(3*x)^2+2*x*(-exp(2*x)+exp(4)-2*exp(x)+4)/(-exp(2*x)+exp(4)+4)*ln(3*x)+(-exp(2*x)+exp(4)-4*exp(x))*x^2/(-exp(2*x)+exp(4)+4))","B"
3379,1,34,22,0.033000," ","int(((3*x^2*exp(x^2)+6*x^3)*ln(exp(x^2)+2*x)^2+(4*x*exp(x^2)^2+8*x^2*exp(x^2))*ln(exp(x^2)+2*x)-4*x*exp(x^2)^2-4*exp(x^2))*exp((x^3*ln(exp(x^2)+2*x)+2*exp(x^2))/ln(exp(x^2)+2*x))/(exp(x^2)+2*x)/ln(exp(x^2)+2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{3} \ln \left({\mathrm e}^{x^{2}}+2 x \right)+2 \,{\mathrm e}^{x^{2}}}{\ln \left({\mathrm e}^{x^{2}}+2 x \right)}}$&$34$\\ \hline \end{longtable}"," ",0,"exp((x^3*ln(exp(x^2)+2*x)+2*exp(x^2))/ln(exp(x^2)+2*x))","A"
3380,1,19,21,0.040000," ","int((exp(x)+6-4*x)/(6*exp(1)*exp(x)+(-12*x+12)*exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-1} x}{3}-\frac{{\mathrm e}^{-1} \ln \left({\mathrm e}^{x}-2 x +2\right)}{6}$&$19$\\ norman&$\frac{{\mathrm e}^{-1} x}{3}-\frac{{\mathrm e}^{-1} \ln \left(2 x -2-{\mathrm e}^{x}\right)}{6}$&$25$\\ \hline \end{longtable}"," ",0,"1/3*exp(-1)*x-1/6*exp(-1)*ln(exp(x)-2*x+2)","A"
3381,1,48,20,0.040000," ","int(1/9*((36*ln(x)*ln(ln(x))+18*ln(x))*exp(ln(ln(x))^2)^2+((-132*x-216)*ln(x)*ln(ln(x))-66*x*ln(x)^2+(-132*x-216)*ln(x))*exp(ln(ln(x))^2)+(242*x^2+396*x)*ln(x)^2+(242*x^2+792*x+648)*ln(x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(121 x^{2}+396 x +324\right) \ln \left(x \right)^{2}}{9}+\ln \left(x \right)^{2} {\mathrm e}^{2 \ln \left(\ln \left(x \right)\right)^{2}}-\frac{2 \ln \left(x \right)^{2} \left(11 x +18\right) {\mathrm e}^{\ln \left(\ln \left(x \right)\right)^{2}}}{3}$&$48$\\ \hline \end{longtable}"," ",0,"1/9*(121*x^2+396*x+324)*ln(x)^2+ln(x)^2*exp(2*ln(ln(x))^2)-2/3*ln(x)^2*(11*x+18)*exp(ln(ln(x))^2)","B"
3382,1,19,19,0.044000," ","int(((2*x+3)*exp(x)*exp(3*ln(x)+3*x+12)-exp(x)*x)/(x*exp(3*ln(x)+3*x+12)^2+2*x*exp(3*ln(x)+3*x+12)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{x}}{x^{3} {\mathrm e}^{3 x +12}+1}$&$19$\\ \hline \end{longtable}"," ",0,"-exp(x)/(x^3*exp(3*x+12)+1)","A"
3383,1,76,34,0.413000," ","int((((1-ln(x))*ln(4*x^2)^2+((-2*exp(4)+4)*ln(x)+2*exp(4)-4)*ln(4*x^2)+(-exp(4)^2+4*exp(4)+4)*ln(x)+exp(4)^2-4*exp(4)+4)*exp(4/(ln(4*x^2)+exp(4)-2))+ln(x)^2*ln(4*x^2)^2+(2*exp(4)-4)*ln(x)^2*ln(4*x^2)+(exp(4)^2-4*exp(4)+4)*ln(x)^2)/(ln(x)^2*ln(4*x^2)^2+(2*exp(4)-4)*ln(x)^2*ln(4*x^2)+(exp(4)^2-4*exp(4)+4)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{\left(2-{\mathrm e}^{4}-\ln \left(4 x^{2}\right)+2 \ln \left(x \right)\right) x \,{\mathrm e}^{\frac{4}{\ln \left(4 x^{2}\right)+{\mathrm e}^{4}-2}}-2 x \ln \left(x \right) {\mathrm e}^{\frac{4}{\ln \left(4 x^{2}\right)+{\mathrm e}^{4}-2}}}{\left(\ln \left(4 x^{2}\right)+{\mathrm e}^{4}-2\right) \ln \left(x \right)}$&$76$\\ risch&$x -\frac{x \,{\mathrm e}^{\frac{8}{-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+4 \ln \left(x \right)+2 \,{\mathrm e}^{4}+4 \ln \left(2\right)-4}}}{\ln \left(x \right)}$&$78$\\ \hline \end{longtable}"," ",0,"x+((2-exp(4)-ln(4*x^2)+2*ln(x))*x*exp(4/(ln(4*x^2)+exp(4)-2))-2*x*ln(x)*exp(4/(ln(4*x^2)+exp(4)-2)))/(ln(4*x^2)+exp(4)-2)/ln(x)","B"
3384,1,22,24,0.064000," ","int((9*exp(exp(1))^2+15*x^2*exp(exp(1))+2*x^4)/(9*exp(exp(1))^2+6*x^2*exp(exp(1))+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\frac{x \,{\mathrm e}^{{\mathrm e}}}{\frac{x^{2}}{3}+{\mathrm e}^{{\mathrm e}}}$&$22$\\ gosper&$\frac{x \left(2 x^{2}+3 \,{\mathrm e}^{{\mathrm e}}\right)}{x^{2}+3 \,{\mathrm e}^{{\mathrm e}}}$&$25$\\ norman&$\frac{2 x^{3}+3 x \,{\mathrm e}^{{\mathrm e}}}{x^{2}+3 \,{\mathrm e}^{{\mathrm e}}}$&$25$\\ default&$2 x -\frac{{\mathrm e}^{2 \,{\mathrm e}} {\mathrm e}^{-{\mathrm e}} x}{\frac{x^{2}}{3}+{\mathrm e}^{{\mathrm e}}}$&$79$\\ \hline \end{longtable}"," ",0,"2*x-x*exp(exp(1))/(1/3*x^2+exp(exp(1)))","A"
3385,1,25,27,0.057000," ","int(((-x^4-7*x^3-18*x^2-20*x-8)*ln(7)+x*exp(2)^2+2*x^3+12*x^2+24*x+16)*exp(x)/(x^3+6*x^2+12*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{4} {\mathrm e}^{x}}{\left(2+x \right)^{2}}+2 \,{\mathrm e}^{x}-\ln \left(7\right) {\mathrm e}^{x} x$&$25$\\ risch&$\frac{\left(-\ln \left(7\right) x^{3}-4 x^{2} \ln \left(7\right)+{\mathrm e}^{4}-4 x \ln \left(7\right)+2 x^{2}+8 x +8\right) {\mathrm e}^{x}}{\left(2+x \right)^{2}}$&$40$\\ gosper&$\frac{\left(-\ln \left(7\right) x^{3}-4 x^{2} \ln \left(7\right)+{\mathrm e}^{4}-4 x \ln \left(7\right)+2 x^{2}+8 x +8\right) {\mathrm e}^{x}}{x^{2}+4 x +4}$&$47$\\ norman&$\frac{\left({\mathrm e}^{4}+8\right) {\mathrm e}^{x}+\left(-4 \ln \left(7\right)+2\right) x^{2} {\mathrm e}^{x}+\left(-4 \ln \left(7\right)+8\right) x \,{\mathrm e}^{x}-\ln \left(7\right) x^{3} {\mathrm e}^{x}}{\left(2+x \right)^{2}}$&$48$\\ \hline \end{longtable}"," ",0,"exp(2)^2*exp(x)/(2+x)^2+2*exp(x)-ln(7)*exp(x)*x","A"
3386,1,21,22,0.083000," ","int(((-3*ln(x)-3)*exp(1/2/x/ln(x))*exp(exp(1/2/x/ln(x)))-6*x^2*ln(x)^2)/(8*x^2*exp(4)*ln(x)^2*exp(exp(1/2/x/ln(x)))-8*x^3*exp(4)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{-4} \ln \left({\mathrm e}^{{\mathrm e}^{\frac{1}{2 x \ln \left(x \right)}}}-x \right)}{4}$&$21$\\ \hline \end{longtable}"," ",0,"3/4*exp(-4)*ln(exp(exp(1/2/x/ln(x)))-x)","A"
3387,1,21,17,0.036000," ","int(1/15*((-4*x^2+9)*exp(2)^2-3)/x^4/exp(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(4 x^{2} {\mathrm e}^{4}-3 \,{\mathrm e}^{4}+1\right) {\mathrm e}^{-4}}{15 x^{3}}$&$21$\\ default&$\frac{{\mathrm e}^{-4} \left(\frac{4 \,{\mathrm e}^{4}}{x}-\frac{9 \,{\mathrm e}^{4}-3}{3 x^{3}}\right)}{15}$&$26$\\ gosper&$\frac{\left(4 x^{2} {\mathrm e}^{4}-3 \,{\mathrm e}^{4}+1\right) {\mathrm e}^{-4}}{15 x^{3}}$&$27$\\ norman&$\frac{\left(\frac{4 x^{2} {\mathrm e}^{2}}{15}-\frac{\left(3 \,{\mathrm e}^{4}-1\right) {\mathrm e}^{-2}}{15}\right) {\mathrm e}^{-2}}{x^{3}}$&$31$\\ \hline \end{longtable}"," ",0,"1/15*(4*x^2*exp(4)-3*exp(4)+1)*exp(-4)/x^3","A"
3388,1,37,27,0.050000," ","int(1/6*((3*x^4-32*x^3-400)*exp(ln(2)-4)^2+160*exp(ln(2)-4)-16)/x^2/exp(ln(2)-4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3}}{6}-\frac{8 x^{2}}{3}-\frac{40 \,{\mathrm e}^{8} {\mathrm e}^{-4}}{3 x}+\frac{200 \,{\mathrm e}^{8} {\mathrm e}^{-8}}{3 x}+\frac{2 \,{\mathrm e}^{8}}{3 x}$&$37$\\ norman&$\frac{\left(-\frac{8 x^{3} {\mathrm e}^{4}}{3}+\frac{x^{4} {\mathrm e}^{4}}{6}+\frac{2 \,{\mathrm e}^{4} \left({\mathrm e}^{8}-20 \,{\mathrm e}^{4}+100\right)}{3}\right) {\mathrm e}^{-4}}{x}$&$38$\\ gosper&$\frac{\left(4 \,{\mathrm e}^{-8} x^{4}-64 \,{\mathrm e}^{-8} x^{3}+16+1600 \,{\mathrm e}^{-8}-160 \,{\mathrm e}^{\ln \left(2\right)-4}\right) {\mathrm e}^{8}}{24 x}$&$54$\\ default&$\frac{{\mathrm e}^{8} \left(x^{3} {\mathrm e}^{2 \ln \left(2\right)-8}-16 \,{\mathrm e}^{2 \ln \left(2\right)-8} x^{2}-\frac{160 \,{\mathrm e}^{\ln \left(2\right)-4}-400 \,{\mathrm e}^{2 \ln \left(2\right)-8}-16}{x}\right)}{24}$&$57$\\ \hline \end{longtable}"," ",0,"1/6*x^3-8/3*x^2-40/3*exp(8)/x*exp(-4)+200/3*exp(8)/x*exp(-8)+2/3*exp(8)/x","A"
3389,1,19,19,0.109000," ","int((-256*exp(2)-192*x-80)*ln(2)/(20480*x^2*exp(2)^3+(15360*x^3+19200*x^2)*exp(2)^2+(3840*x^4+9600*x^3+6000*x^2)*exp(2)+320*x^5+1200*x^4+1500*x^3+625*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16 \ln \left(2\right)}{5 x \left(16 \,{\mathrm e}^{2}+4 x +5\right)^{2}}$&$19$\\ risch&$\frac{16 \ln \left(2\right)}{5 x \left(256 \,{\mathrm e}^{4}+128 \,{\mathrm e}^{2} x +16 x^{2}+160 \,{\mathrm e}^{2}+40 x +25\right)}$&$33$\\ gosper&$\frac{16 \ln \left(2\right)}{5 x \left(256 \,{\mathrm e}^{4}+128 \,{\mathrm e}^{2} x +16 x^{2}+160 \,{\mathrm e}^{2}+40 x +25\right)}$&$35$\\ default&$16 \ln \left(2\right) \left(-\frac{-38400 \,{\mathrm e}^{4}-81920 \,{\mathrm e}^{6}-65536 \,{\mathrm e}^{8}-8000 \,{\mathrm e}^{2}-625}{5 \left(1200 \,{\mathrm e}^{2}+3840 \,{\mathrm e}^{4}+4096 \,{\mathrm e}^{6}+125\right)^{2} x}+\frac{4 \left(\munderset{\textit{\_R} =\RootOf \left(64 \textit{\_Z}^{3}+\left(768 \,{\mathrm e}^{2}+240\right) \textit{\_Z}^{2}+\left(1920 \,{\mathrm e}^{2}+3072 \,{\mathrm e}^{4}+300\right) \textit{\_Z} +1200 \,{\mathrm e}^{2}+3840 \,{\mathrm e}^{4}+4096 \,{\mathrm e}^{6}+125\right)}{\sum}\frac{\left(9375+32000 \,{\mathrm e}^{2} \textit{\_R} +153600 \textit{\_R} \,{\mathrm e}^{4}+262144 \textit{\_R} \,{\mathrm e}^{8}+327680 \textit{\_R} \,{\mathrm e}^{6}+150000 \,{\mathrm e}^{2}+960000 \,{\mathrm e}^{4}+4915200 \,{\mathrm e}^{8}+3145728 \,{\mathrm e}^{10}+3072000 \,{\mathrm e}^{6}+2500 \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{25+256 \,{\mathrm e}^{4}+128 \,{\mathrm e}^{2} \textit{\_R} +16 \textit{\_R}^{2}+160 \,{\mathrm e}^{2}+40 \textit{\_R}}\right)}{15 \left(1200 \,{\mathrm e}^{2}+3840 \,{\mathrm e}^{4}+4096 \,{\mathrm e}^{6}+125\right)^{2}}\right)$&$185$\\ \hline \end{longtable}"," ",0,"16/5*ln(2)/x/(16*exp(2)+4*x+5)^2","A"
3390,1,21,27,0.040000," ","int(1/2*((-x-1)*exp(exp(5)-x)+4*exp(x)*x^2+4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +2 \,{\mathrm e}^{x}+\frac{{\mathrm e}^{{\mathrm e}^{5}-x}}{2 x}$&$21$\\ norman&$\frac{\left(2 x \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x^{2}+\frac{{\mathrm e}^{{\mathrm e}^{5}}}{2}\right) {\mathrm e}^{-x}}{x}$&$29$\\ default&$2 x -\frac{{\mathrm e}^{{\mathrm e}^{5}} \left(-\frac{{\mathrm e}^{-x}}{x}+\expIntegralEi \left(1, x\right)\right)}{2}+\frac{{\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, x\right)}{2}+2 \,{\mathrm e}^{x}$&$35$\\ \hline \end{longtable}"," ",0,"2*x+2*exp(x)+1/2/x*exp(exp(5)-x)","A"
3391,1,48,20,0.101000," ","int((((exp(x)*x-x)*exp(exp(3))-4*x*exp(3/5)*exp(x)+4*x*exp(3/5))*ln(x^2)+(2*exp(x)-2*x-42)*exp(exp(3))-8*exp(3/5)*exp(x)+(8*x+168)*exp(3/5))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-21 \,{\mathrm e}^{{\mathrm e}^{3}}+84 \,{\mathrm e}^{\frac{3}{5}}\right) \ln \left(x^{2}\right)+\left(-{\mathrm e}^{{\mathrm e}^{3}}+4 \,{\mathrm e}^{\frac{3}{5}}\right) x \ln \left(x^{2}\right)+\left({\mathrm e}^{{\mathrm e}^{3}}-4 \,{\mathrm e}^{\frac{3}{5}}\right) {\mathrm e}^{x} \ln \left(x^{2}\right)$&$48$\\ default&${\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{3}} \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right)-4 \,{\mathrm e}^{x} {\mathrm e}^{\frac{3}{5}} \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right)+\left(2 \,{\mathrm e}^{{\mathrm e}^{3}}-8 \,{\mathrm e}^{\frac{3}{5}}\right) {\mathrm e}^{x} \ln \left(x \right)-{\mathrm e}^{{\mathrm e}^{3}} \ln \left(x^{2}\right) x +4 \,{\mathrm e}^{\frac{3}{5}} \ln \left(x^{2}\right) x -42 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(x \right)+168 \,{\mathrm e}^{\frac{3}{5}} \ln \left(x \right)$&$79$\\ risch&$\left(8 x \,{\mathrm e}^{\frac{3}{5}}-8 \,{\mathrm e}^{x +\frac{3}{5}}-2 x \,{\mathrm e}^{{\mathrm e}^{3}}+2 \,{\mathrm e}^{{\mathrm e}^{3}+x}\right) \ln \left(x \right)-2 i \pi  \,{\mathrm e}^{\frac{3}{5}} x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+4 i \pi  \,{\mathrm e}^{\frac{3}{5}} x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-2 i \pi  \,{\mathrm e}^{\frac{3}{5}} x \mathrm{csgn}\left(i x^{2}\right)^{3}+\frac{i \pi  \,{\mathrm e}^{{\mathrm e}^{3}} x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}-i \pi  \,{\mathrm e}^{{\mathrm e}^{3}} x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\frac{i \pi  \,{\mathrm e}^{{\mathrm e}^{3}} x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+168 \,{\mathrm e}^{\frac{3}{5}} \ln \left(x \right)-42 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(x \right)+2 i \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2} \pi  \,{\mathrm e}^{x +\frac{3}{5}}-4 i \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right) \pi  \,{\mathrm e}^{x +\frac{3}{5}}+2 i \mathrm{csgn}\left(i x^{2}\right)^{3} \pi  \,{\mathrm e}^{x +\frac{3}{5}}-\frac{i \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2} \pi  \,{\mathrm e}^{{\mathrm e}^{3}+x}}{2}+i \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right) \pi  \,{\mathrm e}^{{\mathrm e}^{3}+x}-\frac{i \mathrm{csgn}\left(i x^{2}\right)^{3} \pi  \,{\mathrm e}^{{\mathrm e}^{3}+x}}{2}$&$287$\\ \hline \end{longtable}"," ",0,"(-21*exp(exp(3))+84*exp(3/5))*ln(x^2)+(-exp(exp(3))+4*exp(3/5))*x*ln(x^2)+(exp(exp(3))-4*exp(3/5))*exp(x)*ln(x^2)","B"
3392,1,20,19,0.020000," ","int(9/2*x^2*ln(2)-28*x^6-48*x^3+180*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{3} \left(-8 x^{4}+3 \ln \left(2\right)-24 x +120\right)}{2}$&$20$\\ norman&$\left(\frac{3 \ln \left(2\right)}{2}+60\right) x^{3}-12 x^{4}-4 x^{7}$&$22$\\ default&$\frac{3 x^{3} \ln \left(2\right)}{2}-4 x^{7}-12 x^{4}+60 x^{3}$&$24$\\ risch&$\frac{3 x^{3} \ln \left(2\right)}{2}-4 x^{7}-12 x^{4}+60 x^{3}$&$24$\\ \hline \end{longtable}"," ",0,"1/2*x^3*(-8*x^4+3*ln(2)-24*x+120)","A"
3393,1,70,25,0.026000," ","int(((4*x^13+32*x^12-8*x^11-36*x^9-288*x^8+48*x^7+108*x^5+864*x^4-72*x^3-108*x-864)*ln(x)-x^13+8*x^12-6*x^11+9*x^9-72*x^8-12*x^7-27*x^5+216*x^4+90*x^3+27*x-216)*exp(ln(x)^2)^2/(x^15+24*x^14+186*x^13+416*x^12-381*x^11-120*x^10-1700*x^9-4032*x^8+2295*x^7+360*x^6+5130*x^5+12960*x^4-3483*x^3-648*x^2-5184*x-13824),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(x^{8}-6 x^{4}+9\right) {\mathrm e}^{2 \ln \left(x \right)^{2}}}{x^{10}+16 x^{9}+60 x^{8}-32 x^{7}-2 x^{6}-96 x^{5}-372 x^{4}+96 x^{3}+9 x^{2}+144 x +576}$&$70$\\ \hline \end{longtable}"," ",0,"x*(x^8-6*x^4+9)/(x^10+16*x^9+60*x^8-32*x^7-2*x^6-96*x^5-372*x^4+96*x^3+9*x^2+144*x+576)*exp(2*ln(x)^2)","B"
3394,1,19,17,0.470000," ","int((6*ln((20*x-60)/x)-x^2+3*x)*exp(ln((20*x-60)/x)^2-x-1)/(x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\ln \left(\frac{20 x -60}{x}\right)^{2}-x -1}$&$19$\\ risch&${\mathrm e}^{\ln \left(\frac{20 x -60}{x}\right)^{2}-x -1}$&$19$\\ \hline \end{longtable}"," ",0,"exp(ln((20*x-60)/x)^2-x-1)","A"
3395,1,10,10,0.488000," ","int((2*x+6)/(x^2+6*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(x^{2}+6 x +8\right)$&$10$\\ default&$\ln \left(x^{2}+6 x +8\right)$&$10$\\ norman&$\ln \left(2+x \right)+\ln \left(4+x \right)$&$10$\\ risch&$\ln \left(x^{2}+6 x +8\right)$&$10$\\ \hline \end{longtable}"," ",0,"ln(x^2+6*x+8)","A"
3396,1,9,15,0.470000," ","int((3+x)/(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\ln \left(4+x \right)$&$9$\\ norman&$x -\ln \left(4+x \right)$&$9$\\ risch&$x -\ln \left(4+x \right)$&$9$\\ meijerg&$-\ln \left(1+\frac{x}{4}\right)+x$&$11$\\ \hline \end{longtable}"," ",0,"x-ln(4+x)","A"
3397,1,12,12,0.015000," ","int(x*exp(16)-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{2} {\mathrm e}^{16}}{2}-2 x$&$12$\\ default&$\frac{x^{2} {\mathrm e}^{16}}{2}-2 x$&$12$\\ norman&$\frac{x^{2} {\mathrm e}^{16}}{2}-2 x$&$12$\\ risch&$\frac{x^{2} {\mathrm e}^{16}}{2}-2 x$&$12$\\ \hline \end{longtable}"," ",0,"1/2*x^2*exp(16)-2*x","A"
3398,1,5,4,0.010000," ","int(exp(2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{2+x}$&$5$\\ derivativedivides&${\mathrm e}^{2+x}$&$5$\\ default&${\mathrm e}^{2+x}$&$5$\\ norman&${\mathrm e}^{2+x}$&$5$\\ risch&${\mathrm e}^{2+x}$&$5$\\ meijerg&$-{\mathrm e}^{2} \left(1-{\mathrm e}^{x}\right)$&$11$\\ \hline \end{longtable}"," ",0,"exp(2+x)","A"
3399,1,15,15,0.022000," ","int((-exp(x)+(1-x)*exp(1)-2*x+2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\left({\mathrm e}+2\right) {\mathrm e}^{-x} x$&$15$\\ norman&$\left(x \left({\mathrm e}+2\right)-{\mathrm e}^{x} x \right) {\mathrm e}^{-x}$&$18$\\ default&$-x -{\mathrm e} \,{\mathrm e}^{-x}+2 x \,{\mathrm e}^{-x}-{\mathrm e} \left(-x \,{\mathrm e}^{-x}-{\mathrm e}^{-x}\right)$&$38$\\ \hline \end{longtable}"," ",0,"-x+(exp(1)+2)*exp(-x)*x","A"
3400,1,87,30,0.069000," ","int(((-4*x^3+12*x^2-4)*exp(exp(x))^2+(4*x*exp(3)*exp(x)+(-8*x^3+24*x^2-4)*exp(3))*exp(exp(x))+(-4*x^3+12*x^2)*exp(3)^2)/((x^6-12*x^5+46*x^4-64*x^3+49*x^2-20*x+4)*exp(exp(x))^2+(2*x^6-24*x^5+92*x^4-124*x^3+74*x^2-20*x)*exp(3)*exp(exp(x))+(x^6-12*x^5+46*x^4-60*x^3+25*x^2)*exp(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{x^{3}-6 x^{2}+5 x -2}-\frac{4 x \,{\mathrm e}^{3}}{\left(x^{3}-6 x^{2}+5 x -2\right) \left(x^{3} {\mathrm e}^{3}+x^{3} {\mathrm e}^{{\mathrm e}^{x}}-6 x^{2} {\mathrm e}^{3}-6 \,{\mathrm e}^{{\mathrm e}^{x}} x^{2}+5 x \,{\mathrm e}^{3}+5 x \,{\mathrm e}^{{\mathrm e}^{x}}-2 \,{\mathrm e}^{{\mathrm e}^{x}}\right)}$&$87$\\ \hline \end{longtable}"," ",0,"2*x/(x^3-6*x^2+5*x-2)-4*x*exp(3)/(x^3-6*x^2+5*x-2)/(x^3*exp(3)+x^3*exp(exp(x))-6*x^2*exp(3)-6*exp(exp(x))*x^2+5*x*exp(3)+5*x*exp(exp(x))-2*exp(exp(x)))","B"
3401,1,408,28,0.090000," ","int((2*x*exp(2)^4+(12*x^2+32*x)*exp(2)^3+(24*x^3+150*x^2+192*x)*exp(2)^2+(20*x^4+208*x^3+624*x^2+512*x)*exp(2)+6*x^5+90*x^4+452*x^3+864*x^2+512*x)*ln(x)^2+((6*x^2-2*x+4)*exp(2)^4+(32*x^3+80*x^2+64)*exp(2)^3+(60*x^4+364*x^3+448*x^2+208*x+384)*exp(2)^2+(48*x^5+488*x^4+1416*x^3+1328*x^2+1152*x+1024)*exp(2)+14*x^6+206*x^5+1006*x^4+1914*x^3+1740*x^2+1792*x+1024)*ln(x)+(4*x^3-4*x^2+8*x)*exp(2)^4+(20*x^4+40*x^3-12*x^2+112*x+16)*exp(2)^3+(36*x^5+202*x^4+192*x^3+218*x^2+616*x+200)*exp(2)^2+(28*x^6+272*x^5+716*x^4+664*x^3+1312*x^2+1632*x+832)*exp(2)+8*x^7+114*x^6+526*x^5+934*x^4+1130*x^3+2032*x^2+1800*x+1152,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{8}+x^{6} \ln \left(x \right)^{2}+\left(16+4 \,{\mathrm e}^{2}\right) x^{7}+\left(82+44 \,{\mathrm e}^{2}+6 \,{\mathrm e}^{4}\right) x^{6}+\left(148+124 \,{\mathrm e}^{2}+38 \,{\mathrm e}^{4}+4 \,{\mathrm e}^{6}\right) x^{5}+\left(128-48 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{8}-184 \,{\mathrm e}^{4}-192 \,{\mathrm e}^{2}\right) x +\left(177+26 \,{\mathrm e}^{4}+84 \,{\mathrm e}^{2}+8 \,{\mathrm e}^{6}+{\mathrm e}^{8}\right) x^{4}+\left(548-12 \,{\mathrm e}^{6}+34 \,{\mathrm e}^{4}+336 \,{\mathrm e}^{2}-2 \,{\mathrm e}^{8}\right) x^{3}+\left(580+5 \,{\mathrm e}^{8}+64 \,{\mathrm e}^{6}+304 \,{\mathrm e}^{4}+656 \,{\mathrm e}^{2}\right) x^{2}+\left(18+4 \,{\mathrm e}^{2}\right) x^{5} \ln \left(x \right)^{2}+\left(34+8 \,{\mathrm e}^{2}\right) x^{6} \ln \left(x \right)+\left(194+96 \,{\mathrm e}^{2}+12 \,{\mathrm e}^{4}\right) x^{5} \ln \left(x \right)+\left(6 \,{\mathrm e}^{4}+52 \,{\mathrm e}^{2}+113\right) x^{4} \ln \left(x \right)^{2}+\left(422+88 \,{\mathrm e}^{4}+328 \,{\mathrm e}^{2}+8 \,{\mathrm e}^{6}\right) x^{4} \ln \left(x \right)+\left(4 \,{\mathrm e}^{6}+50 \,{\mathrm e}^{4}+208 \,{\mathrm e}^{2}+288\right) x^{3} \ln \left(x \right)^{2}+\left(388+24 \,{\mathrm e}^{6}+116 \,{\mathrm e}^{4}+304 \,{\mathrm e}^{2}+2 \,{\mathrm e}^{8}\right) x^{3} \ln \left(x \right)+\left(640-2 \,{\mathrm e}^{8}-16 \,{\mathrm e}^{6}+8 \,{\mathrm e}^{4}+320 \,{\mathrm e}^{2}\right) x^{2} \ln \left(x \right)+\left(1024+64 \,{\mathrm e}^{6}+4 \,{\mathrm e}^{8}+384 \,{\mathrm e}^{4}+1024 \,{\mathrm e}^{2}\right) x \ln \left(x \right)+\left({\mathrm e}^{8}+16 \,{\mathrm e}^{6}+96 \,{\mathrm e}^{4}+256 \,{\mathrm e}^{2}+256\right) x^{2} \ln \left(x \right)^{2}+2 x^{7} \ln \left(x \right)$&$408$\\ risch&$128 x -192 \,{\mathrm e}^{2} x +124 \,{\mathrm e}^{2} x^{5}-4 x \,{\mathrm e}^{8}+64 x^{2} {\mathrm e}^{6}-12 x^{3} {\mathrm e}^{6}+5 x^{2} {\mathrm e}^{8}-184 x \,{\mathrm e}^{4}+16 x^{7}+x^{8}+82 x^{6}+148 x^{5}+177 x^{4}+548 x^{3}+580 x^{2}+44 x^{6} {\mathrm e}^{2}+34 x^{3} {\mathrm e}^{4}+304 x^{2} {\mathrm e}^{4}-48 x \,{\mathrm e}^{6}+336 x^{3} {\mathrm e}^{2}+656 x^{2} {\mathrm e}^{2}+84 x^{4} {\mathrm e}^{2}+\left(-\frac{x^{6}}{3}-\frac{8 \,{\mathrm e}^{2} x^{5}}{5}-\frac{36 x^{5}}{5}-3 x^{4} {\mathrm e}^{4}-26 x^{4} {\mathrm e}^{2}-\frac{113 x^{4}}{2}-\frac{8 x^{3} {\mathrm e}^{6}}{3}-\frac{100 x^{3} {\mathrm e}^{4}}{3}-\frac{416 x^{3} {\mathrm e}^{2}}{3}-192 x^{3}-x^{2} {\mathrm e}^{8}-16 x^{2} {\mathrm e}^{6}-96 x^{2} {\mathrm e}^{4}-256 x^{2} {\mathrm e}^{2}-256 x^{2}\right) \ln \left(x \right)+\left(x^{2} {\mathrm e}^{8}+4 x^{3} {\mathrm e}^{6}+6 x^{4} {\mathrm e}^{4}+4 \,{\mathrm e}^{2} x^{5}+x^{6}+16 x^{2} {\mathrm e}^{6}+50 x^{3} {\mathrm e}^{4}+52 x^{4} {\mathrm e}^{2}+18 x^{5}+96 x^{2} {\mathrm e}^{4}+208 x^{3} {\mathrm e}^{2}+113 x^{4}+256 x^{2} {\mathrm e}^{2}+288 x^{3}+256 x^{2}\right) \ln \left(x \right)^{2}+4 \,{\mathrm e}^{6} x^{5}+\left(2 x^{3} {\mathrm e}^{8}+8 x^{4} {\mathrm e}^{6}+12 x^{5} {\mathrm e}^{4}+8 x^{6} {\mathrm e}^{2}+2 x^{7}-x^{2} {\mathrm e}^{8}+\frac{80 x^{3} {\mathrm e}^{6}}{3}+91 x^{4} {\mathrm e}^{4}+\frac{488 \,{\mathrm e}^{2} x^{5}}{5}+\frac{103 x^{6}}{3}+4 x \,{\mathrm e}^{8}+\frac{448 x^{3} {\mathrm e}^{4}}{3}+354 x^{4} {\mathrm e}^{2}+\frac{1006 x^{5}}{5}+64 x \,{\mathrm e}^{6}+104 x^{2} {\mathrm e}^{4}+\frac{1328 x^{3} {\mathrm e}^{2}}{3}+\frac{957 x^{4}}{2}+384 x \,{\mathrm e}^{4}+576 x^{2} {\mathrm e}^{2}+580 x^{3}+1024 \,{\mathrm e}^{2} x +896 x^{2}+1024 x \right) \ln \left(x \right)+8 x^{4} {\mathrm e}^{6}+4 \,{\mathrm e}^{2} x^{7}+x^{4} {\mathrm e}^{8}-2 x^{3} {\mathrm e}^{8}+26 x^{4} {\mathrm e}^{4}+38 x^{5} {\mathrm e}^{4}+6 x^{6} {\mathrm e}^{4}$&$528$\\ default&$128 x -1024 \,{\mathrm e}^{2} x +50 x^{3} {\mathrm e}^{4} \ln \left(x \right)^{2}+64 x \,{\mathrm e}^{6} \ln \left(x \right)+304 x^{3} {\mathrm e}^{2} \ln \left(x \right)-\frac{96 \,{\mathrm e}^{2} x^{5}}{5}+640 x^{2} \ln \left(x \right)+1024 x \,{\mathrm e}^{2} \ln \left(x \right)+320 x^{2} {\mathrm e}^{2} \ln \left(x \right)-4 x \,{\mathrm e}^{8}+8 x^{2} {\mathrm e}^{6}-8 x^{3} {\mathrm e}^{6}+x^{2} {\mathrm e}^{8}-384 x \,{\mathrm e}^{4}+256 x^{2} \ln \left(x \right)^{2}+16 x^{7}+x^{8}+82 x^{6}+148 x^{5}+177 x^{4}+548 x^{3}+580 x^{2}+388 x^{3} \ln \left(x \right)+8 x^{2} {\mathrm e}^{4} \ln \left(x \right)+52 \,{\mathrm e}^{2} \ln \left(x \right)^{2} x^{4}+96 \,{\mathrm e}^{2} \ln \left(x \right) x^{5}+208 \,{\mathrm e}^{2} \ln \left(x \right)^{2} x^{3}+328 \,{\mathrm e}^{2} \ln \left(x \right) x^{4}+256 \,{\mathrm e}^{2} \ln \left(x \right)^{2} x^{2}-\frac{4 x^{6} {\mathrm e}^{2}}{3}+x^{6} \ln \left(x \right)^{2}+34 x^{6} \ln \left(x \right)+2 x^{7} \ln \left(x \right)+194 x^{5} \ln \left(x \right)+113 x^{4} \ln \left(x \right)^{2}-\frac{116 x^{3} {\mathrm e}^{4}}{3}-4 x^{2} {\mathrm e}^{4}-64 x \,{\mathrm e}^{6}-\frac{304 x^{3} {\mathrm e}^{2}}{3}-160 x^{2} {\mathrm e}^{2}+422 x^{4} \ln \left(x \right)-82 x^{4} {\mathrm e}^{2}+1024 x \ln \left(x \right)+{\mathrm e}^{4} \left(6 x^{6}+\frac{202}{5} x^{5}+48 x^{4}+\frac{218}{3} x^{3}+308 x^{2}+200 x \right)+{\mathrm e}^{6} \left(4 x^{5}+10 x^{4}-4 x^{3}+56 x^{2}+16 x \right)+{\mathrm e}^{8} \left(x^{4}-\frac{4}{3} x^{3}+4 x^{2}\right)+96 x^{2} {\mathrm e}^{4} \ln \left(x \right)^{2}-2 x^{4} {\mathrm e}^{6}-\frac{2 x^{3} {\mathrm e}^{8}}{3}+{\mathrm e}^{2} \left(4 x^{7}+\frac{136}{3} x^{6}+\frac{716}{5} x^{5}+166 x^{4}+\frac{1312}{3} x^{3}+816 x^{2}+832 x \right)+18 x^{5} \ln \left(x \right)^{2}+384 x \,{\mathrm e}^{4} \ln \left(x \right)-22 x^{4} {\mathrm e}^{4}-\frac{12 x^{5} {\mathrm e}^{4}}{5}+288 x^{3} \ln \left(x \right)^{2}+4 \,{\mathrm e}^{2} x^{5} \ln \left(x \right)^{2}+8 \,{\mathrm e}^{2} x^{6} \ln \left(x \right)+116 x^{3} {\mathrm e}^{4} \ln \left(x \right)-2 \,{\mathrm e}^{8} \ln \left(x \right) x^{2}+16 \,{\mathrm e}^{6} \ln \left(x \right)^{2} x^{2}+24 \,{\mathrm e}^{6} \ln \left(x \right) x^{3}+88 \,{\mathrm e}^{4} \ln \left(x \right) x^{4}+4 \,{\mathrm e}^{8} \ln \left(x \right) x -16 \,{\mathrm e}^{6} \ln \left(x \right) x^{2}+6 \,{\mathrm e}^{4} x^{4} \ln \left(x \right)^{2}+4 \,{\mathrm e}^{6} x^{3} \ln \left(x \right)^{2}+{\mathrm e}^{8} x^{2} \ln \left(x \right)^{2}+8 \,{\mathrm e}^{6} x^{4} \ln \left(x \right)+12 \,{\mathrm e}^{4} x^{5} \ln \left(x \right)+2 \,{\mathrm e}^{8} x^{3} \ln \left(x \right)$&$688$\\ \hline \end{longtable}"," ",0,"x^8+x^6*ln(x)^2+(16+4*exp(2))*x^7+(82+44*exp(2)+6*exp(2)^2)*x^6+(148+124*exp(2)+38*exp(2)^2+4*exp(2)^3)*x^5+(128-48*exp(2)^3-4*exp(2)^4-184*exp(2)^2-192*exp(2))*x+(177+26*exp(2)^2+84*exp(2)+8*exp(2)^3+exp(2)^4)*x^4+(548-12*exp(2)^3+34*exp(2)^2+336*exp(2)-2*exp(2)^4)*x^3+(580+5*exp(2)^4+64*exp(2)^3+304*exp(2)^2+656*exp(2))*x^2+(18+4*exp(2))*x^5*ln(x)^2+(34+8*exp(2))*x^6*ln(x)+(194+96*exp(2)+12*exp(2)^2)*x^5*ln(x)+(6*exp(2)^2+52*exp(2)+113)*x^4*ln(x)^2+(422+88*exp(2)^2+328*exp(2)+8*exp(2)^3)*x^4*ln(x)+(4*exp(2)^3+50*exp(2)^2+208*exp(2)+288)*x^3*ln(x)^2+(388+24*exp(2)^3+116*exp(2)^2+304*exp(2)+2*exp(2)^4)*x^3*ln(x)+(640-2*exp(2)^4-16*exp(2)^3+8*exp(2)^2+320*exp(2))*x^2*ln(x)+(1024+64*exp(2)^3+4*exp(2)^4+384*exp(2)^2+1024*exp(2))*x*ln(x)+(exp(2)^4+16*exp(2)^3+96*exp(2)^2+256*exp(2)+256)*x^2*ln(x)^2+2*x^7*ln(x)","B"
3402,1,27,25,0.026000," ","int((2*exp(x)*x^3-8*x^4+12*x-32)/(exp(x)*x^3-2*x^5+9*x^3-6*x^2+8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left({\mathrm e}^{x}-\frac{2 x^{4}-9 x^{2}+6 x -8}{x^{2}}\right)$&$27$\\ norman&$-4 \ln \left(x \right)+2 \ln \left(2 x^{4}-{\mathrm e}^{x} x^{2}-9 x^{2}+6 x -8\right)$&$31$\\ \hline \end{longtable}"," ",0,"2*ln(exp(x)-(2*x^4-9*x^2+6*x-8)/x^2)","A"
3403,1,24,25,0.033000," ","int(((-8*x^3-24*x^2+20*x+60)*ln(2*x)^2+(2*x^3+6*x^2-10*x-30)*ln(2*x)+2*x^11+3*x^10-30*x^9-45*x^8+150*x^7+225*x^6-250*x^5-375*x^4)*exp(ln(2*x)^2/(x^8-10*x^6+25*x^4))/(x^10-15*x^8+75*x^6-125*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(3+x \right) x \,{\mathrm e}^{\frac{\ln \left(2 x \right)^{2}}{x^{4} \left(x^{2}-5\right)^{2}}}$&$24$\\ \hline \end{longtable}"," ",0,"(3+x)*x*exp(ln(2*x)^2/x^4/(x^2-5)^2)","A"
3404,1,16,15,0.029000," ","int(1/20*(4*x^4*ln(x)-25*exp(1)-4*x^4)/x^6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(x \right)}{5 x}+\frac{{\mathrm e}}{4 x^{5}}$&$16$\\ risch&$-\frac{\ln \left(x \right)}{5 x}+\frac{{\mathrm e}}{4 x^{5}}$&$16$\\ norman&$\frac{-\frac{x^{4} \ln \left(x \right)}{5}+\frac{{\mathrm e}}{4}}{x^{5}}$&$17$\\ \hline \end{longtable}"," ",0,"-1/5*ln(x)/x+1/4*exp(1)/x^5","A"
3405,1,13,21,0.465000," ","int(((2+x)*ln(2+x)+8*x^2+17*x)/(2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(2+x \right)+4 x^{2}$&$13$\\ risch&$x \ln \left(2+x \right)+4 x^{2}$&$13$\\ derivativedivides&$\left(2+x \right) \ln \left(2+x \right)-32-16 x +4 \left(2+x \right)^{2}-2 \ln \left(2+x \right)$&$27$\\ default&$\left(2+x \right) \ln \left(2+x \right)-32-16 x +4 \left(2+x \right)^{2}-2 \ln \left(2+x \right)$&$27$\\ \hline \end{longtable}"," ",0,"x*ln(2+x)+4*x^2","A"
3406,1,44,27,0.049000," ","int(((9*x^3-6*x)*ln(x)^2+((18*x^3-6*x^2-10*x)*exp(x)+(-18*x^3+12*x)*exp(4)-54*x^3+36*x)*ln(x)+(9*x^3-6*x^2-5*x)*exp(x)^2+((-18*x^3+6*x^2+10*x)*exp(4)-54*x^3+18*x^2+30*x-2)*exp(x)+(9*x^3-6*x)*exp(4)^2+(54*x^3-36*x)*exp(4)+81*x^3-54*x)/(9*x^3*ln(x)^2+((18*x^3-6*x^2)*exp(x)-18*x^3*exp(4)-54*x^3)*ln(x)+(9*x^3-6*x^2+x)*exp(x)^2+((-18*x^3+6*x^2)*exp(4)-54*x^3+18*x^2)*exp(x)+9*x^3*exp(4)^2+54*x^3*exp(4)+81*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x^{2}+2}{3 x}-\frac{2 \,{\mathrm e}^{x}}{3 x \left(3 x \,{\mathrm e}^{4}-3 \,{\mathrm e}^{x} x -3 x \ln \left(x \right)+9 x +{\mathrm e}^{x}\right)}$&$44$\\ \hline \end{longtable}"," ",0,"1/3*(3*x^2+2)/x-2/3/x*exp(x)/(3*x*exp(4)-3*exp(x)*x-3*x*ln(x)+9*x+exp(x))","A"
3407,1,3,2,0.000000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
3408,0,0,26,0.045000," ","int((15*ln(x^2)^2+(15*x+15)*ln(x^2)+15*x+30)*exp(-3*ln((-4*ln(x^2)-4*x-4)/(ln(x^2)+1))+3*x+2)/(ln(x^2)^2+(2+x)*ln(x^2)+x+1),x)","\[\int \frac{\left(15 \ln \left(x^{2}\right)^{2}+\left(15 x +15\right) \ln \left(x^{2}\right)+15 x +30\right) {\mathrm e}^{-3 \ln \left(\frac{-4 \ln \left(x^{2}\right)-4 x -4}{\ln \left(x^{2}\right)+1}\right)+3 x +2}}{\ln \left(x^{2}\right)^{2}+\left(2+x \right) \ln \left(x^{2}\right)+x +1}\, dx\]"," ",0,"int((15*ln(x^2)^2+(15*x+15)*ln(x^2)+15*x+30)*exp(-3*ln((-4*ln(x^2)-4*x-4)/(ln(x^2)+1))+3*x+2)/(ln(x^2)^2+(2+x)*ln(x^2)+x+1),x)","F"
3409,1,7,8,0.010000," ","int(-30/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$30 \,{\mathrm e}^{-x}$&$7$\\ derivativedivides&$30 \,{\mathrm e}^{-x}$&$7$\\ default&$30 \,{\mathrm e}^{-x}$&$7$\\ norman&$30 \,{\mathrm e}^{-x}$&$7$\\ risch&$30 \,{\mathrm e}^{-x}$&$7$\\ meijerg&$-30+30 \,{\mathrm e}^{-x}$&$9$\\ \hline \end{longtable}"," ",0,"30/exp(x)","A"
3410,1,12,18,0.010000," ","int((-7*exp(x)-7*x+7)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$7 x \,{\mathrm e}^{-x}-7 x$&$12$\\ risch&$7 x \,{\mathrm e}^{-x}-7 x$&$12$\\ norman&$\left(7 x -7 \,{\mathrm e}^{x} x \right) {\mathrm e}^{-x}$&$15$\\ \hline \end{longtable}"," ",0,"7*x/exp(x)-7*x","A"
3411,1,38,23,0.040000," ","int((((-4*exp(x+1)^2+10)*exp(5*x)+(4*x-8)*exp(x+1)^2-2)*ln(-exp(5*x)+x-2)+(4*exp(x+1)^4-10*exp(x+1)^2)*exp(5*x)+(-4*x+8)*exp(x+1)^4+2*exp(x+1)^2)/(exp(5*x)+2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{4 x +4}-2 \,{\mathrm e}^{2 x +2} \ln \left(-{\mathrm e}^{5 x}+x -2\right)+\ln \left(-{\mathrm e}^{5 x}+x -2\right)^{2}$&$38$\\ \hline \end{longtable}"," ",0,"exp(4*x+4)-2*exp(2*x+2)*ln(-exp(5*x)+x-2)+ln(-exp(5*x)+x-2)^2","A"
3412,1,303,26,0.155000," ","int(1/25*(((2500*x^3+60000*x^2+480000*x+1280000)*ln(2)^2+(25000*x^3+600000*x^2+4800000*x+12800000)*ln(2)+62500*x^3+1500000*x^2+12000000*x+31999975)*ln(x^2)^5+((-2000*x^3-36000*x^2-192000*x-256000)*ln(2)^2+(-20000*x^3-360000*x^2-1920000*x-2560000)*ln(2)-50000*x^3-900000*x^2-4800000*x-6400000)*ln(x^2)^4+((1600*x^3+31200*x^2+211200*x+512000)*ln(2)^2+(16000*x^3+312000*x^2+2112000*x+5120000)*ln(2)+40000*x^3+780000*x^2+5280000*x+12800000)*ln(x^2)^3+((-680*x^3-10080*x^2-38400*x)*ln(2)^2+(-6800*x^3-100800*x^2-384000*x)*ln(2)-17000*x^3-252000*x^2-960000*x)*ln(x^2)^2+((124*x^3+960*x^2)*ln(2)^2+(1240*x^3+9600*x^2)*ln(2)+3100*x^3+24000*x^2)*ln(x^2)-8*x^3*ln(2)^2-80*x^3*ln(2)-200*x^3)/ln(x^2)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{\ln \left(2\right)^{2}}{25}+\frac{2 \ln \left(2\right)}{5}+1\right) x^{4}+\left(-10240 \ln \left(2\right)^{2}-102400 \ln \left(2\right)-256000\right) x \ln \left(x^{2}\right)^{3}+\left(-3840 \ln \left(2\right)^{2}-38400 \ln \left(2\right)-96000\right) x^{2} \ln \left(x^{2}\right)^{3}+\left(-480 \ln \left(2\right)^{2}-4800 \ln \left(2\right)-12000\right) x^{3} \ln \left(x^{2}\right)^{3}+\left(-20 \ln \left(2\right)^{2}-200 \ln \left(2\right)-500\right) x^{4} \ln \left(x^{2}\right)^{3}+\left(6 \ln \left(2\right)^{2}+60 \ln \left(2\right)+150\right) x^{4} \ln \left(x^{2}\right)^{2}+\left(25 \ln \left(2\right)^{2}+250 \ln \left(2\right)+625\right) x^{4} \ln \left(x^{2}\right)^{4}+\left(96 \ln \left(2\right)^{2}+960 \ln \left(2\right)+2400\right) x^{3} \ln \left(x^{2}\right)^{2}+\left(384 \ln \left(2\right)^{2}+3840 \ln \left(2\right)+9600\right) x^{2} \ln \left(x^{2}\right)^{2}+\left(800 \ln \left(2\right)^{2}+8000 \ln \left(2\right)+20000\right) x^{3} \ln \left(x^{2}\right)^{4}+\left(9600 \ln \left(2\right)^{2}+96000 \ln \left(2\right)+240000\right) x^{2} \ln \left(x^{2}\right)^{4}+\left(51200 \ln \left(2\right)^{2}+512000 \ln \left(2\right)+1279999\right) x \ln \left(x^{2}\right)^{4}+\left(-\frac{32 \ln \left(2\right)^{2}}{5}-64 \ln \left(2\right)-160\right) x^{3} \ln \left(x^{2}\right)+\left(-\frac{4 \ln \left(2\right)^{2}}{5}-8 \ln \left(2\right)-20\right) x^{4} \ln \left(x^{2}\right)}{\ln \left(x^{2}\right)^{4}}$&$303$\\ risch&$25 x^{4} \ln \left(2\right)^{2}+800 x^{3} \ln \left(2\right)^{2}+250 x^{4} \ln \left(2\right)+9600 x^{2} \ln \left(2\right)^{2}+8000 x^{3} \ln \left(2\right)+625 x^{4}+51200 x \ln \left(2\right)^{2}+96000 x^{2} \ln \left(2\right)+20000 x^{3}+512000 x \ln \left(2\right)+240000 x^{2}+1279999 x -\frac{x \left(-150 x^{3} \ln \left(2\right)^{2} \ln \left(x^{2}\right)^{2}-2400 x^{2} \ln \left(2\right)^{2} \ln \left(x^{2}\right)^{2}+6400000 \ln \left(x^{2}\right)^{3}-25 x^{3}+300000 x^{2} \ln \left(x^{2}\right)^{3}-3750 x^{3} \ln \left(x^{2}\right)^{2}+500 x^{3} \ln \left(x^{2}\right)-x^{3} \ln \left(2\right)^{2}-10 x^{3} \ln \left(2\right)+2400000 x \ln \left(x^{2}\right)^{3}+2560000 \ln \left(2\right) \ln \left(x^{2}\right)^{3}+12500 \ln \left(x^{2}\right)^{3} x^{3}+256000 \ln \left(2\right)^{2} \ln \left(x^{2}\right)^{3}-60000 x^{2} \ln \left(x^{2}\right)^{2}-240000 x \ln \left(x^{2}\right)^{2}+4000 x^{2} \ln \left(x^{2}\right)+500 \ln \left(2\right)^{2} \ln \left(x^{2}\right)^{3} x^{3}+12000 \ln \left(2\right)^{2} \ln \left(x^{2}\right)^{3} x^{2}+5000 \ln \left(2\right) \ln \left(x^{2}\right)^{3} x^{3}+96000 \ln \left(2\right)^{2} \ln \left(x^{2}\right)^{3} x +20 \ln \left(2\right)^{2} \ln \left(x^{2}\right) x^{3}+120000 \ln \left(2\right) \ln \left(x^{2}\right)^{3} x^{2}-1500 \ln \left(2\right) \ln \left(x^{2}\right)^{2} x^{3}-9600 \ln \left(2\right)^{2} \ln \left(x^{2}\right)^{2} x +160 \ln \left(2\right)^{2} \ln \left(x^{2}\right) x^{2}+960000 \ln \left(2\right) \ln \left(x^{2}\right)^{3} x -24000 \ln \left(2\right) \ln \left(x^{2}\right)^{2} x^{2}+200 \ln \left(2\right) \ln \left(x^{2}\right) x^{3}-96000 \ln \left(2\right) \ln \left(x^{2}\right)^{2} x +1600 \ln \left(2\right) \ln \left(x^{2}\right) x^{2}\right)}{25 \ln \left(x^{2}\right)^{4}}$&$429$\\ \hline \end{longtable}"," ",0,"((1/25*ln(2)^2+2/5*ln(2)+1)*x^4+(-10240*ln(2)^2-102400*ln(2)-256000)*x*ln(x^2)^3+(-3840*ln(2)^2-38400*ln(2)-96000)*x^2*ln(x^2)^3+(-480*ln(2)^2-4800*ln(2)-12000)*x^3*ln(x^2)^3+(-20*ln(2)^2-200*ln(2)-500)*x^4*ln(x^2)^3+(6*ln(2)^2+60*ln(2)+150)*x^4*ln(x^2)^2+(25*ln(2)^2+250*ln(2)+625)*x^4*ln(x^2)^4+(96*ln(2)^2+960*ln(2)+2400)*x^3*ln(x^2)^2+(384*ln(2)^2+3840*ln(2)+9600)*x^2*ln(x^2)^2+(800*ln(2)^2+8000*ln(2)+20000)*x^3*ln(x^2)^4+(9600*ln(2)^2+96000*ln(2)+240000)*x^2*ln(x^2)^4+(51200*ln(2)^2+512000*ln(2)+1279999)*x*ln(x^2)^4+(-32/5*ln(2)^2-64*ln(2)-160)*x^3*ln(x^2)+(-4/5*ln(2)^2-8*ln(2)-20)*x^4*ln(x^2))/ln(x^2)^4","B"
3413,1,21,20,0.076000," ","int(((x^2*exp(5+x)*exp(exp(5+x))+x^2*ln(5)*exp(x)+x)*exp(exp(exp(5+x))+exp(x)*ln(5)+1)+3*x+1)*exp(x*exp(exp(exp(5+x))+exp(x)*ln(5)+1)+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{x \left(5^{{\mathrm e}^{x}} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{5+x}}+1}+3\right)}$&$21$\\ \hline \end{longtable}"," ",0,"x*exp(x*(5^exp(x)*exp(exp(exp(5+x))+1)+3))","A"
3414,1,21,20,0.022000," ","int((-ln(x)-4)*exp(-ln(ln(2)+2)-x*ln(x)+exp(4)-3*x+18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{-\ln \left(\ln \left(2\right)+2\right)-x \ln \left(x \right)+{\mathrm e}^{4}-3 x +18}$&$21$\\ default&${\mathrm e}^{-\ln \left(\ln \left(2\right)+2\right)-x \ln \left(x \right)+{\mathrm e}^{4}-3 x +18}$&$21$\\ norman&${\mathrm e}^{-\ln \left(\ln \left(2\right)+2\right)-x \ln \left(x \right)+{\mathrm e}^{4}-3 x +18}$&$21$\\ risch&$\frac{x^{-x} {\mathrm e}^{18+{\mathrm e}^{4}-3 x}}{\ln \left(2\right)+2}$&$21$\\ \hline \end{longtable}"," ",0,"exp(-ln(ln(2)+2)-x*ln(x)+exp(4)-3*x+18)","A"
3415,1,32,29,8.222000," ","int(((-36*x^3+162*x^2-198*x+54)*exp(2)+27*x^4-36*x^3-225*x^2+396*x-117)/(exp(2)^2+(-2*x-4)*exp(2)+x^2+4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-99 x^{2}+54 x^{3}-9 x^{4}+54 \,{\mathrm e}^{2}-117}{{\mathrm e}^{2}-x -2}$&$32$\\ gosper&$\frac{-99 x^{2}+54 x^{3}-9 x^{4}+54 \,{\mathrm e}^{2}-117}{{\mathrm e}^{2}-x -2}$&$33$\\ risch&$9 x \,{\mathrm e}^{4}+9 x^{2} {\mathrm e}^{2}+9 x^{3}-90 \,{\mathrm e}^{2} x -72 x^{2}+243 x -\frac{9 \,{\mathrm e}^{8}}{{\mathrm e}^{2}-x -2}+\frac{126 \,{\mathrm e}^{6}}{{\mathrm e}^{2}-x -2}-\frac{639 \,{\mathrm e}^{4}}{{\mathrm e}^{2}-x -2}+\frac{1386 \,{\mathrm e}^{2}}{{\mathrm e}^{2}-x -2}-\frac{1089}{{\mathrm e}^{2}-x -2}$&$95$\\ meijerg&$-\frac{\left(-36 \,{\mathrm e}^{2}-36\right) \left({\mathrm e}^{2}-2\right)^{3} \left(\frac{x \left(-\frac{2 x^{2}}{\left({\mathrm e}^{2}-2\right)^{2}}-\frac{6 x}{{\mathrm e}^{2}-2}+12\right)}{4 \left({\mathrm e}^{2}-2\right) \left(1-\frac{x}{{\mathrm e}^{2}-2}\right)}+3 \ln \left(1-\frac{x}{{\mathrm e}^{2}-2}\right)\right)}{2-{\mathrm e}^{2}}+\frac{\left(162 \,{\mathrm e}^{2}-225\right) \left({\mathrm e}^{2}-2\right)^{2} \left(-\frac{x \left(-\frac{3 x}{{\mathrm e}^{2}-2}+6\right)}{3 \left({\mathrm e}^{2}-2\right) \left(1-\frac{x}{{\mathrm e}^{2}-2}\right)}-2 \ln \left(1-\frac{x}{{\mathrm e}^{2}-2}\right)\right)}{2-{\mathrm e}^{2}}+\left(-198 \,{\mathrm e}^{2}+396\right) \left(\frac{x}{\left({\mathrm e}^{2}-2\right) \left(1-\frac{x}{{\mathrm e}^{2}-2}\right)}+\ln \left(1-\frac{x}{{\mathrm e}^{2}-2}\right)\right)+\frac{27 \left({\mathrm e}^{2}-2\right)^{4} \left(-\frac{x \left(-\frac{5 x^{3}}{\left({\mathrm e}^{2}-2\right)^{3}}-\frac{10 x^{2}}{\left({\mathrm e}^{2}-2\right)^{2}}-\frac{30 x}{{\mathrm e}^{2}-2}+60\right)}{15 \left({\mathrm e}^{2}-2\right) \left(1-\frac{x}{{\mathrm e}^{2}-2}\right)}-4 \ln \left(1-\frac{x}{{\mathrm e}^{2}-2}\right)\right)}{2-{\mathrm e}^{2}}-\frac{54 \,{\mathrm e}^{2} x}{\left(2-{\mathrm e}^{2}\right) \left({\mathrm e}^{2}-2\right) \left(1-\frac{x}{{\mathrm e}^{2}-2}\right)}+\frac{117 x}{\left(2-{\mathrm e}^{2}\right) \left({\mathrm e}^{2}-2\right) \left(1-\frac{x}{{\mathrm e}^{2}-2}\right)}$&$341$\\ \hline \end{longtable}"," ",0,"(-99*x^2+54*x^3-9*x^4+54*exp(2)-117)/(exp(2)-x-2)","A"
3416,1,34,18,0.095000," ","int((-8*x^8*exp(4)^8+48*x^6*exp(4)^6-96*x^4*exp(4)^4+64*x^2*exp(4)^2-1)*exp(x^8*exp(4)^8-8*x^6*exp(4)^6+24*x^4*exp(4)^4-32*x^2*exp(4)^2+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{x^{8} {\mathrm e}^{32}-8 x^{6} {\mathrm e}^{24}+24 x^{4} {\mathrm e}^{16}-32 x^{2} {\mathrm e}^{8}+16}$&$34$\\ gosper&$-x \,{\mathrm e}^{x^{8} {\mathrm e}^{32}-8 x^{6} {\mathrm e}^{24}+24 x^{4} {\mathrm e}^{16}-32 x^{2} {\mathrm e}^{8}+16}$&$42$\\ norman&$-x \,{\mathrm e}^{x^{8} {\mathrm e}^{32}-8 x^{6} {\mathrm e}^{24}+24 x^{4} {\mathrm e}^{16}-32 x^{2} {\mathrm e}^{8}+16}$&$42$\\ \hline \end{longtable}"," ",0,"-x*exp(x^8*exp(32)-8*x^6*exp(24)+24*x^4*exp(16)-32*x^2*exp(8)+16)","A"
3417,1,21,17,0.030000," ","int(((-16*x^2+12)*ln(-4*x^2+3)+32*x^2)/((4*x^3-3*x)*ln(-4*x^2+3)+12*x^4-9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-4 \ln \left(x \right)+4 \ln \left(\ln \left(-4 x^{2}+3\right)+3 x \right)$&$21$\\ risch&$-4 \ln \left(x \right)+4 \ln \left(\ln \left(-4 x^{2}+3\right)+3 x \right)$&$21$\\ \hline \end{longtable}"," ",0,"-4*ln(x)+4*ln(ln(-4*x^2+3)+3*x)","A"
3418,1,7,9,0.008000," ","int(-exp(exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x \,{\mathrm e}^{{\mathrm e}^{3}}$&$7$\\ norman&$-x \,{\mathrm e}^{{\mathrm e}^{3}}$&$7$\\ risch&$-x \,{\mathrm e}^{{\mathrm e}^{3}}$&$7$\\ \hline \end{longtable}"," ",0,"-x*exp(exp(3))","A"
3419,1,10,9,0.069000," ","int(1/32*(-ln(1/x^2)-2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{\ln \left(\frac{1}{x^{2}}\right)}{32 x}$&$10$\\ default&$\frac{\ln \left(\frac{1}{x^{2}}\right)}{32 x}$&$10$\\ norman&$\frac{\ln \left(\frac{1}{x^{2}}\right)}{32 x}$&$10$\\ risch&$\frac{\ln \left(\frac{1}{x^{2}}\right)}{32 x}$&$10$\\ \hline \end{longtable}"," ",0,"1/32*ln(1/x^2)/x","A"
3420,1,30,24,0.044000," ","int(2*(-80*x^4-608*x^3-1083*x^2-4*x+1)*ln(2)/(256*x^10+4864*x^9+34656*x^8+109808*x^7+130897*x^6+1140*x^5-718*x^4-4*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 \ln \left(2\right)}{x \left(16 x^{4}+152 x^{3}+361 x^{2}+2 x -1\right)}$&$30$\\ norman&$\frac{2 \ln \left(2\right)}{x \left(16 x^{4}+152 x^{3}+361 x^{2}+2 x -1\right)}$&$30$\\ risch&$\frac{2 \ln \left(2\right)}{x \left(16 x^{4}+152 x^{3}+361 x^{2}+2 x -1\right)}$&$30$\\ default&$2 \ln \left(2\right) \left(-\frac{-x^{3}-\frac{19}{2} x^{2}-\frac{361}{16} x -\frac{1}{8}}{x^{4}+\frac{19}{2} x^{3}+\frac{361}{16} x^{2}+\frac{1}{8} x -\frac{1}{16}}-\frac{1}{x}\right)$&$48$\\ \hline \end{longtable}"," ",0,"2/x*ln(2)/(16*x^4+152*x^3+361*x^2+2*x-1)","A"
3421,1,17,16,0.072000," ","int((2*exp(x)-2)/(5*exp(x)-5*x)/ln(-ln(3)*exp(x)+x*ln(3))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{2}{5 \ln \left(-\ln \left(3\right) {\mathrm e}^{x}+x \ln \left(3\right)\right)}$&$17$\\ risch&$-\frac{2}{5 \ln \left(-\ln \left(3\right) {\mathrm e}^{x}+x \ln \left(3\right)\right)}$&$17$\\ \hline \end{longtable}"," ",0,"-2/5/ln(-ln(3)*exp(x)+x*ln(3))","A"
3422,1,16,15,0.547000," ","int((-2*x^2+2*x+19)/(2*x^2+2*x-17),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\ln \left(2 x^{2}+2 x -17\right)$&$16$\\ norman&$-x +\ln \left(2 x^{2}+2 x -17\right)$&$16$\\ risch&$-x +\ln \left(2 x^{2}+2 x -17\right)$&$16$\\ \hline \end{longtable}"," ",0,"-x+ln(2*x^2+2*x-17)","A"
3423,1,33,26,0.285000," ","int((((2*x^3-2*x^2)*exp(3)-2*x^4+2*x^3)*ln((-x^5+x^4)*exp(3)+x^6-x^5)+(15*x^3-16*x^2-15*x+12)*exp(3)-14*x^4+15*x^3+18*x^2-15*x)/(((x^2-x)*exp(3)-x^3+x^2)*ln((-x^5+x^4)*exp(3)+x^6-x^5)^2+((20*x^2-20*x)*exp(3)-20*x^3+20*x^2)*ln((-x^5+x^4)*exp(3)+x^6-x^5)+(100*x^2-100*x)*exp(3)-100*x^3+100*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}+3}{\ln \left(\left(-x^{5}+x^{4}\right) {\mathrm e}^{3}+x^{6}-x^{5}\right)+10}$&$33$\\ risch&$\frac{x^{2}+3}{\ln \left(\left(-x^{5}+x^{4}\right) {\mathrm e}^{3}+x^{6}-x^{5}\right)+10}$&$33$\\ \hline \end{longtable}"," ",0,"(x^2+3)/(ln((-x^5+x^4)*exp(3)+x^6-x^5)+10)","A"
3424,1,9,16,0.007000," ","int(-72*x-738/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{18 x \left(10 x +41\right)}{5}$&$9$\\ default&$-36 x^{2}-\frac{738}{5} x$&$10$\\ norman&$-36 x^{2}-\frac{738}{5} x$&$10$\\ risch&$-36 x^{2}-\frac{738}{5} x$&$10$\\ \hline \end{longtable}"," ",0,"-18/5*x*(10*x+41)","A"
3425,1,23,23,0.020000," ","int(((-2*x^2*exp(x^2)-2*x^2+7*x)*ln(4*x)-1)/x/ln(4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+7 x -\ln \left(\ln \left(4 x \right)\right)-{\mathrm e}^{x^{2}}$&$23$\\ norman&$-x^{2}+7 x -\ln \left(\ln \left(4 x \right)\right)-{\mathrm e}^{x^{2}}$&$23$\\ risch&$-x^{2}+7 x -\ln \left(\ln \left(4 x \right)\right)-{\mathrm e}^{x^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"-x^2+7*x-ln(ln(4*x))-exp(x^2)","A"
3426,1,46,30,0.683000," ","int((-64*ln(3)^2*ln(2)^4+8*(8*x+8)*ln(3)*ln(2)^3+4*(-4*x^2-8*x)*ln(2)^2)*exp(x)*exp(-8*ln(2)^2/((4*ln(3)^2*ln(2)^2-4*x*ln(2)*ln(3)+x^2)*exp(x)-12*ln(2)^2))/((16*ln(3)^4*ln(2)^4-32*x*ln(3)^3*ln(2)^3+24*x^2*ln(3)^2*ln(2)^2-8*x^3*ln(3)*ln(2)+x^4)*exp(x)^2+(-96*ln(3)^2*ln(2)^4+96*x*ln(3)*ln(2)^3-24*x^2*ln(2)^2)*exp(x)+144*ln(2)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \,{\mathrm e}^{-\frac{8 \ln \left(2\right)^{2}}{4 \ln \left(2\right)^{2} {\mathrm e}^{x} \ln \left(3\right)^{2}-4 \ln \left(2\right) {\mathrm e}^{x} \ln \left(3\right) x +{\mathrm e}^{x} x^{2}-12 \ln \left(2\right)^{2}}}$&$46$\\ norman&$\frac{24 \ln \left(2\right)^{2} {\mathrm e}^{-\frac{8 \ln \left(2\right)^{2}}{\left(4 \ln \left(3\right)^{2} \ln \left(2\right)^{2}-4 x \ln \left(2\right) \ln \left(3\right)+x^{2}\right) {\mathrm e}^{x}-12 \ln \left(2\right)^{2}}}-2 \,{\mathrm e}^{x} x^{2} {\mathrm e}^{-\frac{8 \ln \left(2\right)^{2}}{\left(4 \ln \left(3\right)^{2} \ln \left(2\right)^{2}-4 x \ln \left(2\right) \ln \left(3\right)+x^{2}\right) {\mathrm e}^{x}-12 \ln \left(2\right)^{2}}}-8 \ln \left(2\right)^{2} {\mathrm e}^{x} \ln \left(3\right)^{2} {\mathrm e}^{-\frac{8 \ln \left(2\right)^{2}}{\left(4 \ln \left(3\right)^{2} \ln \left(2\right)^{2}-4 x \ln \left(2\right) \ln \left(3\right)+x^{2}\right) {\mathrm e}^{x}-12 \ln \left(2\right)^{2}}}+8 \ln \left(2\right) {\mathrm e}^{x} \ln \left(3\right) x \,{\mathrm e}^{-\frac{8 \ln \left(2\right)^{2}}{\left(4 \ln \left(3\right)^{2} \ln \left(2\right)^{2}-4 x \ln \left(2\right) \ln \left(3\right)+x^{2}\right) {\mathrm e}^{x}-12 \ln \left(2\right)^{2}}}}{4 \ln \left(2\right)^{2} {\mathrm e}^{x} \ln \left(3\right)^{2}-4 \ln \left(2\right) {\mathrm e}^{x} \ln \left(3\right) x +{\mathrm e}^{x} x^{2}-12 \ln \left(2\right)^{2}}$&$233$\\ \hline \end{longtable}"," ",0,"-2*exp(-8*ln(2)^2/(4*ln(2)^2*exp(x)*ln(3)^2-4*ln(2)*exp(x)*ln(3)*x+exp(x)*x^2-12*ln(2)^2))","A"
3427,1,56,31,0.125000," ","int(((10*x^3+100*x^2+250*x)*exp(5/x)^2+(2*x^5+10*x^4-100*x^3-900*x^2-2750*x-3750)*exp(5/x)-2*x^6-24*x^5-90*x^4-60*x^3+1050*x^2+6000*x+11250)/(x^5+10*x^4+25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-4 x +\frac{-40 x^{2}-525 x -1125}{x^{2} \left(5+x \right)}-{\mathrm e}^{\frac{10}{x}}+\frac{2 \left(x^{2}+2 x +15\right) {\mathrm e}^{\frac{5}{x}}}{x}$&$56$\\ derivativedivides&$-x^{2}-4 x -\frac{4}{1+\frac{5}{x}}-\frac{60}{x}-\frac{225}{x^{2}}+2 x \,{\mathrm e}^{\frac{5}{x}}+4 \,{\mathrm e}^{\frac{5}{x}}-{\mathrm e}^{\frac{10}{x}}+\frac{30 \,{\mathrm e}^{\frac{5}{x}}}{x}$&$69$\\ default&$-x^{2}-4 x -\frac{4}{1+\frac{5}{x}}-\frac{60}{x}-\frac{225}{x^{2}}+2 x \,{\mathrm e}^{\frac{5}{x}}+4 \,{\mathrm e}^{\frac{5}{x}}-{\mathrm e}^{\frac{10}{x}}+\frac{30 \,{\mathrm e}^{\frac{5}{x}}}{x}$&$69$\\ norman&$\frac{-1125+60 x^{2}-525 x -9 x^{4}-x^{5}+150 x \,{\mathrm e}^{\frac{5}{x}}+50 x^{2} {\mathrm e}^{\frac{5}{x}}-5 x^{2} {\mathrm e}^{\frac{10}{x}}+14 \,{\mathrm e}^{\frac{5}{x}} x^{3}+2 \,{\mathrm e}^{\frac{5}{x}} x^{4}-x^{3} {\mathrm e}^{\frac{10}{x}}}{x^{2} \left(5+x \right)}$&$98$\\ \hline \end{longtable}"," ",0,"-x^2-4*x+(-40*x^2-525*x-1125)/x^2/(5+x)-exp(10/x)+2*(x^2+2*x+15)/x*exp(5/x)","A"
3428,1,23,25,0.058000," ","int(((-3*x^3+6*x^2+15*x-30)*ln((-4*x^2+20)/x^2)-30*x-60)/(4*x^5+24*x^4+28*x^3-88*x^2-240*x-160)/ln((-4*x^2+20)/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 x}{4 \left(2+x \right)^{2} \ln \left(\frac{-4 x^{2}+20}{x^{2}}\right)}$&$23$\\ risch&$\frac{3 x}{4 \left(x^{2}+4 x +4\right) \ln \left(\frac{-4 x^{2}+20}{x^{2}}\right)}$&$28$\\ \hline \end{longtable}"," ",0,"3/4*x/(2+x)^2/ln((-4*x^2+20)/x^2)","A"
3429,1,241,25,0.178000," ","int((((4*x^2+48*x+44)*ln(2)*exp(x)*ln(11+x)+((-4*x^3-48*x^2-44*x)*ln(2)-20*x^2-240*x-220)*exp(x))*ln((x+1)*ln(2)/(ln(2)*ln(11+x)-x*ln(2)-5))+(4*x+44)*ln(2)*exp(x)*ln(11+x)+(40*ln(2)-20*x-220)*exp(x))/((x^2+12*x+11)*ln(2)*ln(11+x)+(-x^3-12*x^2-11*x)*ln(2)-5*x^2-60*x-55),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 \,{\mathrm e}^{x} \ln \left(5+\left(x -\ln \left(11+x \right)\right) \ln \left(2\right)\right)-2 i \pi  \,\mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(\frac{i}{5+\left(x -\ln \left(11+x \right)\right) \ln \left(2\right)}\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)}{5+\left(x -\ln \left(11+x \right)\right) \ln \left(2\right)}\right) {\mathrm e}^{x}+2 i \pi  \,\mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)}{5+\left(x -\ln \left(11+x \right)\right) \ln \left(2\right)}\right)^{2} {\mathrm e}^{x}-4 i \pi  \mathrm{csgn}\left(\frac{i \left(x +1\right)}{5+\left(x -\ln \left(11+x \right)\right) \ln \left(2\right)}\right)^{2} {\mathrm e}^{x}+2 i \pi  \,\mathrm{csgn}\left(\frac{i}{5+\left(x -\ln \left(11+x \right)\right) \ln \left(2\right)}\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)}{5+\left(x -\ln \left(11+x \right)\right) \ln \left(2\right)}\right)^{2} {\mathrm e}^{x}+2 i \pi  \mathrm{csgn}\left(\frac{i \left(x +1\right)}{5+\left(x -\ln \left(11+x \right)\right) \ln \left(2\right)}\right)^{3} {\mathrm e}^{x}+4 i \pi  \,{\mathrm e}^{x}+4 \ln \left(\ln \left(2\right)\right) {\mathrm e}^{x}+4 \ln \left(x +1\right) {\mathrm e}^{x}$&$241$\\ \hline \end{longtable}"," ",0,"-4*exp(x)*ln(5+(x-ln(11+x))*ln(2))-2*I*Pi*csgn(I*(x+1))*csgn(I/(5+(x-ln(11+x))*ln(2)))*csgn(I/(5+(x-ln(11+x))*ln(2))*(x+1))*exp(x)+2*I*Pi*csgn(I*(x+1))*csgn(I/(5+(x-ln(11+x))*ln(2))*(x+1))^2*exp(x)-4*I*Pi*csgn(I/(5+(x-ln(11+x))*ln(2))*(x+1))^2*exp(x)+2*I*Pi*csgn(I/(5+(x-ln(11+x))*ln(2)))*csgn(I/(5+(x-ln(11+x))*ln(2))*(x+1))^2*exp(x)+2*I*Pi*csgn(I/(5+(x-ln(11+x))*ln(2))*(x+1))^3*exp(x)+4*I*Pi*exp(x)+4*ln(ln(2))*exp(x)+4*ln(x+1)*exp(x)","C"
3430,1,66,28,0.105000," ","int(((-x^3-3*x^2+4*x)*ln(x)+(10*x^4+30*x^3-40*x)*ln((8*x-8)/x)+20*x^4+64*x^3+19*x^2-58*x)/(5*x^3+15*x^2-20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x^{2}+\ln \left(x -1\right)+3 x^{2} \ln \left(2\right)+\ln \left(-\frac{1}{x}\right)-\ln \left(1-\frac{1}{x}\right) \left(1-\frac{1}{x}\right) \left(-\frac{1}{x}-1\right) x^{2}-\frac{x \ln \left(x \right)}{5}+\frac{2 \ln \left(x \right) x}{5 \left(2+x \right)}$&$66$\\ risch&$x^{2} \ln \left(x -1\right)+\frac{-22 x^{2} \ln \left(x \right)+20 x^{3}+40 x^{2}-10 x^{3} \ln \left(x \right)+60 x^{2} \ln \left(2\right)+30 x^{3} \ln \left(2\right)+5 i \pi  \,x^{3} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{2}+5 i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{2}-10 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)-5 i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)-5 i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{3}-10 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{3}+10 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{2}+10 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{2}}{10 x +20}$&$260$\\ \hline \end{longtable}"," ",0,"2*x^2+ln(x-1)+3*x^2*ln(2)+ln(-1/x)-ln(1-1/x)*(1-1/x)*(-1/x-1)*x^2-1/5*x*ln(x)+2/5*ln(x)*x/(2+x)","B"
3431,1,47,27,0.052000," ","int(((((15*x+15)*ln(x)-15*x^2-15*x)*ln(x-ln(x))+15*x-15)*exp(-ln(ln(x-ln(x)))+x)+(36*x*ln(x)-36*x^2)*ln(x-ln(x)))/((25*x^2*ln(x)-25*x^3)*ln(x-ln(x))*exp(-ln(ln(x-ln(x)))+x)^2+((60*x^3-15*x)*ln(x)-60*x^4+15*x^2)*ln(x-ln(x))*exp(-ln(ln(x-ln(x)))+x)+((36*x^4-18*x^2)*ln(x)-36*x^5+18*x^3)*ln(x-ln(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\frac{{\mathrm e}^{x}}{\ln \left(x -\ln \left(x \right)\right)}+\frac{\frac{6 x^{2}}{5}-\frac{3}{5}}{x}\right)-\ln \left(\frac{{\mathrm e}^{x}}{\ln \left(x -\ln \left(x \right)\right)}+\frac{6 x}{5}\right)$&$47$\\ \hline \end{longtable}"," ",0,"ln(1/ln(x-ln(x))*exp(x)+3/5*(2*x^2-1)/x)-ln(1/ln(x-ln(x))*exp(x)+6/5*x)","A"
3432,0,0,36,0.019000," ","int((2*exp(-exp(x)*x^2+5*x^2)+(-6*x^3-12*x^2)*exp(x)+60*x^2-6)*ln(((-x-6)*exp(-exp(x)*x^2+5*x^2)+3*x)/exp(-exp(x)*x^2+5*x^2))/((x+6)*exp(-exp(x)*x^2+5*x^2)-3*x),x)","\[\int \frac{\left(2 \,{\mathrm e}^{-{\mathrm e}^{x} x^{2}+5 x^{2}}+\left(-6 x^{3}-12 x^{2}\right) {\mathrm e}^{x}+60 x^{2}-6\right) \ln \left(\left(\left(-x -6\right) {\mathrm e}^{-{\mathrm e}^{x} x^{2}+5 x^{2}}+3 x \right) {\mathrm e}^{{\mathrm e}^{x} x^{2}-5 x^{2}}\right)}{\left(x +6\right) {\mathrm e}^{-{\mathrm e}^{x} x^{2}+5 x^{2}}-3 x}\, dx\]"," ",0,"int((2*exp(-exp(x)*x^2+5*x^2)+(-6*x^3-12*x^2)*exp(x)+60*x^2-6)*ln(((-x-6)*exp(-exp(x)*x^2+5*x^2)+3*x)/exp(-exp(x)*x^2+5*x^2))/((x+6)*exp(-exp(x)*x^2+5*x^2)-3*x),x)","F"
3433,1,32,25,0.081000," ","int(1/5*((20*x+50)*exp(1/5*x^7+16/5*x^6+96/5*x^5+256/5*x^4+256/5*x^3)-7*x^8-131*x^7-960*x^6-3424*x^5-5888*x^4-3840*x^3+10*x+25)/exp(1/5*x^7+16/5*x^6+96/5*x^5+256/5*x^4+256/5*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2}+10 x +\frac{\left(5 x^{2}+25 x \right) {\mathrm e}^{-\frac{\left(4+x \right)^{4} x^{3}}{5}}}{5}$&$32$\\ norman&$\left(x^{2}+5 x +2 x^{2} {\mathrm e}^{\frac{1}{5} x^{7}+\frac{16}{5} x^{6}+\frac{96}{5} x^{5}+\frac{256}{5} x^{4}+\frac{256}{5} x^{3}}+10 \,{\mathrm e}^{\frac{1}{5} x^{7}+\frac{16}{5} x^{6}+\frac{96}{5} x^{5}+\frac{256}{5} x^{4}+\frac{256}{5} x^{3}} x \right) {\mathrm e}^{-\frac{1}{5} x^{7}-\frac{16}{5} x^{6}-\frac{96}{5} x^{5}-\frac{256}{5} x^{4}-\frac{256}{5} x^{3}}$&$100$\\ \hline \end{longtable}"," ",0,"2*x^2+10*x+1/5*(5*x^2+25*x)*exp(-1/5*(4+x)^4*x^3)","A"
3434,1,80,27,0.244000," ","int(1/2*((ln(3)-1)*exp(x*ln(3))^2+((2*ln(3)-2)*exp(x-4)+(-2*x^2+8*x)*ln(3)+4*x^2-20*x+8)*exp(x*ln(3))+(4*x^2-24*x+16)*exp(x-4)-4*x^4+40*x^3-112*x^2+64*x)/exp(x-4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-4 x^{2}+16 x \right) {\mathrm e}^{-x +4}}{2}+\frac{\left(2 x^{4}-16 x^{3}+32 x^{2}\right) {\mathrm e}^{-2 x +8}}{2}+\frac{{\mathrm e}^{-2 x +8} 3^{2 x}}{4}-\left(x^{2}-4 x -{\mathrm e}^{x -4}\right) {\mathrm e}^{-2 x +8} 3^{x}$&$80$\\ default&$\frac{{\mathrm e}^{8} \ln \left(3\right) {\mathrm e}^{2 x \ln \left(3\right)} {\mathrm e}^{-2 x}}{4 \ln \left(3\right)-4}-8 \,{\mathrm e}^{-x} {\mathrm e}^{4}+32 \,{\mathrm e}^{8} \left(-\frac{x \,{\mathrm e}^{-2 x}}{2}-\frac{{\mathrm e}^{-2 x}}{4}\right)-56 \,{\mathrm e}^{8} \left(-\frac{x^{2} {\mathrm e}^{-2 x}}{2}-\frac{x \,{\mathrm e}^{-2 x}}{2}-\frac{{\mathrm e}^{-2 x}}{4}\right)+20 \,{\mathrm e}^{8} \left(-\frac{{\mathrm e}^{-2 x} x^{3}}{2}-\frac{3 x^{2} {\mathrm e}^{-2 x}}{4}-\frac{3 x \,{\mathrm e}^{-2 x}}{4}-\frac{3 \,{\mathrm e}^{-2 x}}{8}\right)-2 \,{\mathrm e}^{8} \left(-\frac{x^{4} {\mathrm e}^{-2 x}}{2}-{\mathrm e}^{-2 x} x^{3}-\frac{3 x^{2} {\mathrm e}^{-2 x}}{2}-\frac{3 x \,{\mathrm e}^{-2 x}}{2}-\frac{3 \,{\mathrm e}^{-2 x}}{4}\right)+\frac{4 \,{\mathrm e}^{8} {\mathrm e}^{x \ln \left(3\right)} {\mathrm e}^{-2 x}}{\ln \left(3\right)-2}-\frac{{\mathrm e}^{8} {\mathrm e}^{2 x \ln \left(3\right)} {\mathrm e}^{-2 x}}{4 \left(\ln \left(3\right)-1\right)}-12 \,{\mathrm e}^{4} \left(-x \,{\mathrm e}^{-x}-{\mathrm e}^{-x}\right)+2 \,{\mathrm e}^{4} \left(-x^{2} {\mathrm e}^{-x}-2 x \,{\mathrm e}^{-x}-2 \,{\mathrm e}^{-x}\right)-\frac{{\mathrm e}^{4} {\mathrm e}^{x \ln \left(3\right)} {\mathrm e}^{-x}}{\ln \left(3\right)-1}+\frac{\left(\frac{20 \,{\mathrm e}^{8} {\mathrm e}^{x \ln \left(3\right)}}{\ln \left(3\right)^{2}-4 \ln \left(3\right)+4}-\frac{20 \,{\mathrm e}^{8} x \,{\mathrm e}^{x \ln \left(3\right)}}{\ln \left(3\right)-2}\right) {\mathrm e}^{-2 x}}{2}+\frac{\left(\frac{4 \,{\mathrm e}^{8} x^{2} {\mathrm e}^{x \ln \left(3\right)}}{\ln \left(3\right)-2}+\frac{8 \,{\mathrm e}^{8} {\mathrm e}^{x \ln \left(3\right)}}{\left(\ln \left(3\right)^{2}-4 \ln \left(3\right)+4\right) \left(\ln \left(3\right)-2\right)}-\frac{8 \,{\mathrm e}^{8} x \,{\mathrm e}^{x \ln \left(3\right)}}{\ln \left(3\right)^{2}-4 \ln \left(3\right)+4}\right) {\mathrm e}^{-2 x}}{2}+\frac{{\mathrm e}^{4} \ln \left(3\right) {\mathrm e}^{x \ln \left(3\right)} {\mathrm e}^{-x}}{\ln \left(3\right)-1}+\frac{\left(-\frac{8 \,{\mathrm e}^{8} \ln \left(3\right) {\mathrm e}^{x \ln \left(3\right)}}{\ln \left(3\right)^{2}-4 \ln \left(3\right)+4}+\frac{8 \,{\mathrm e}^{8} \ln \left(3\right) x \,{\mathrm e}^{x \ln \left(3\right)}}{\ln \left(3\right)-2}\right) {\mathrm e}^{-2 x}}{2}+\frac{\left(-\frac{4 \,{\mathrm e}^{8} \ln \left(3\right) {\mathrm e}^{x \ln \left(3\right)}}{\left(\ln \left(3\right)^{2}-4 \ln \left(3\right)+4\right) \left(\ln \left(3\right)-2\right)}+\frac{4 \,{\mathrm e}^{8} \ln \left(3\right) x \,{\mathrm e}^{x \ln \left(3\right)}}{\ln \left(3\right)^{2}-4 \ln \left(3\right)+4}-\frac{2 \,{\mathrm e}^{8} \ln \left(3\right) x^{2} {\mathrm e}^{x \ln \left(3\right)}}{\ln \left(3\right)-2}\right) {\mathrm e}^{-2 x}}{2}$&$569$\\ meijerg&$\frac{8 \,{\mathrm e}^{2 x \,{\mathrm e}^{8}-4-2 x} \left(1-{\mathrm e}^{-x \,{\mathrm e}^{8} \left(2-{\mathrm e}^{-8}\right)}\right)}{2-{\mathrm e}^{-8}}+\frac{\ln \left(3\right) {\mathrm e}^{2 x \,{\mathrm e}^{8}-4-2 x} \left(1-{\mathrm e}^{-x \,{\mathrm e}^{8} \left(2-{\mathrm e}^{-8}\right) \left(1-\frac{\ln \left(3\right) {\mathrm e}^{-8}}{2-{\mathrm e}^{-8}}\right)}\right)}{\left(2-{\mathrm e}^{-8}\right) \left(1-\frac{\ln \left(3\right) {\mathrm e}^{-8}}{2-{\mathrm e}^{-8}}\right)}-\frac{{\mathrm e}^{2 x \,{\mathrm e}^{8}-4-2 x} \left(1-{\mathrm e}^{-x \,{\mathrm e}^{8} \left(2-{\mathrm e}^{-8}\right) \left(1-\frac{\ln \left(3\right) {\mathrm e}^{-8}}{2-{\mathrm e}^{-8}}\right)}\right)}{\left(2-{\mathrm e}^{-8}\right) \left(1-\frac{\ln \left(3\right) {\mathrm e}^{-8}}{2-{\mathrm e}^{-8}}\right)}+\frac{{\mathrm e}^{-2 x +8+2 x \,{\mathrm e}^{8}} \left(2-\frac{\left(3 x^{2} \ln \left(3\right)^{2} \left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)^{2}-6 x \ln \left(3\right) \left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)+6\right) {\mathrm e}^{x \ln \left(3\right) \left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)}}{3}\right)}{\ln \left(3\right)^{2} \left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)^{3}}-\frac{2 \,{\mathrm e}^{-2 x +8+2 x \,{\mathrm e}^{8}} \left(2-\frac{\left(3 x^{2} \ln \left(3\right)^{2} \left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)^{2}-6 x \ln \left(3\right) \left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)+6\right) {\mathrm e}^{x \ln \left(3\right) \left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)}}{3}\right)}{\ln \left(3\right)^{3} \left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)^{3}}+\frac{4 \,{\mathrm e}^{-2 x +8+2 x \,{\mathrm e}^{8}} \left(1-\frac{\left(2-2 x \ln \left(3\right) \left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)\right) {\mathrm e}^{x \ln \left(3\right) \left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)}}{2}\right)}{\left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)^{2} \ln \left(3\right)}-\frac{10 \,{\mathrm e}^{-2 x +8+2 x \,{\mathrm e}^{8}} \left(1-\frac{\left(2-2 x \ln \left(3\right) \left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)\right) {\mathrm e}^{x \ln \left(3\right) \left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)}}{2}\right)}{\ln \left(3\right)^{2} \left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)^{2}}+\frac{2 \,{\mathrm e}^{2 x \,{\mathrm e}^{8}-20-2 x} \left(2-\frac{\left(3 x^{2} {\mathrm e}^{16} \left(2-{\mathrm e}^{-8}\right)^{2}+6 x \,{\mathrm e}^{8} \left(2-{\mathrm e}^{-8}\right)+6\right) {\mathrm e}^{-x \,{\mathrm e}^{8} \left(2-{\mathrm e}^{-8}\right)}}{3}\right)}{\left(2-{\mathrm e}^{-8}\right)^{3}}-\frac{12 \,{\mathrm e}^{2 x \,{\mathrm e}^{8}-12-2 x} \left(1-\frac{\left(2+2 x \,{\mathrm e}^{8} \left(2-{\mathrm e}^{-8}\right)\right) {\mathrm e}^{-x \,{\mathrm e}^{8} \left(2-{\mathrm e}^{-8}\right)}}{2}\right)}{\left(2-{\mathrm e}^{-8}\right)^{2}}-7 \,{\mathrm e}^{2 x \,{\mathrm e}^{8}-16-2 x} \left(2-\frac{\left(12 x^{2} {\mathrm e}^{16}+12 x \,{\mathrm e}^{8}+6\right) {\mathrm e}^{-2 x \,{\mathrm e}^{8}}}{3}\right)+8 \,{\mathrm e}^{2 x \,{\mathrm e}^{8}-2 x -8} \left(1-\frac{\left(4 x \,{\mathrm e}^{8}+2\right) {\mathrm e}^{-2 x \,{\mathrm e}^{8}}}{2}\right)-\frac{{\mathrm e}^{-2 x +8+2 x \,{\mathrm e}^{8}} \left(1-{\mathrm e}^{2 x \ln \left(3\right) \left(1-\frac{{\mathrm e}^{8}}{\ln \left(3\right)}\right)}\right)}{4 \left(1-\frac{{\mathrm e}^{8}}{\ln \left(3\right)}\right)}+\frac{{\mathrm e}^{-2 x +8+2 x \,{\mathrm e}^{8}} \left(1-{\mathrm e}^{2 x \ln \left(3\right) \left(1-\frac{{\mathrm e}^{8}}{\ln \left(3\right)}\right)}\right)}{4 \ln \left(3\right) \left(1-\frac{{\mathrm e}^{8}}{\ln \left(3\right)}\right)}-\frac{4 \,{\mathrm e}^{-2 x +8+2 x \,{\mathrm e}^{8}} \left(1-{\mathrm e}^{x \ln \left(3\right) \left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)}\right)}{\ln \left(3\right) \left(1-\frac{2 \,{\mathrm e}^{8}}{\ln \left(3\right)}\right)}-\frac{{\mathrm e}^{2 x \,{\mathrm e}^{8}-32-2 x} \left(24-\frac{\left(80 x^{4} {\mathrm e}^{32}+160 x^{3} {\mathrm e}^{24}+240 x^{2} {\mathrm e}^{16}+240 x \,{\mathrm e}^{8}+120\right) {\mathrm e}^{-2 x \,{\mathrm e}^{8}}}{5}\right)}{16}+\frac{5 \,{\mathrm e}^{2 x \,{\mathrm e}^{8}-24-2 x} \left(6-\frac{\left(32 x^{3} {\mathrm e}^{24}+48 x^{2} {\mathrm e}^{16}+48 x \,{\mathrm e}^{8}+24\right) {\mathrm e}^{-2 x \,{\mathrm e}^{8}}}{4}\right)}{4}$&$902$\\ \hline \end{longtable}"," ",0,"1/2*(-4*x^2+16*x)*exp(-x+4)+1/2*(2*x^4-16*x^3+32*x^2)*exp(-2*x+8)+1/4*exp(-2*x+8)*(3^x)^2-(x^2-4*x-exp(x-4))*exp(-2*x+8)*3^x","B"
3435,1,16,25,0.025000," ","int(-320*x*exp(-3*ln(x)+5)^2-320*exp(-3*ln(x)+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{80 \,{\mathrm e}^{10}}{x^{4}}+\frac{160 \,{\mathrm e}^{5}}{x^{2}}$&$16$\\ risch&$\frac{80 \,{\mathrm e}^{10}}{x^{4}}+\frac{160 \,{\mathrm e}^{5}}{x^{2}}$&$16$\\ norman&$\frac{80 \,{\mathrm e}^{10}+160 x^{2} {\mathrm e}^{5}}{x^{4}}$&$19$\\ \hline \end{longtable}"," ",0,"80*exp(10)/x^4+160*exp(5)/x^2","A"
3436,1,114,28,0.121000," ","int(((-x*exp(10/x)+4*x)*ln(100*exp(10/x)^2-800*exp(10/x)+1600)-20*exp(10/x))*exp((ln(100*exp(10/x)^2-800*exp(10/x)+1600)+x)/x)/(x^3*exp(10/x)-4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{\frac{10}{x}}-4\right)^{2}\right)^{3}+2 i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{\frac{10}{x}}-4\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{\frac{10}{x}}-4\right)\right)-i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{\frac{10}{x}}-4\right)^{2}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{\frac{10}{x}}-4\right)\right)^{2}+4 \ln \left(5\right)+4 \ln \left({\mathrm e}^{\frac{10}{x}}-4\right)+4 \ln \left(2\right)+2 x}{2 x}}$&$114$\\ \hline \end{longtable}"," ",0,"exp(1/2*(-I*Pi*csgn(I*(exp(10/x)-4)^2)^3+2*I*Pi*csgn(I*(exp(10/x)-4)^2)^2*csgn(I*(exp(10/x)-4))-I*Pi*csgn(I*(exp(10/x)-4)^2)*csgn(I*(exp(10/x)-4))^2+4*ln(5)+4*ln(exp(10/x)-4)+4*ln(2)+2*x)/x)","C"
3437,1,8,9,0.491000," ","int(1/(4+x)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(4+x \right) {\mathrm e}^{-3}$&$8$\\ default&$\ln \left(4+x \right) {\mathrm e}^{-3}$&$10$\\ norman&$\ln \left(4+x \right) {\mathrm e}^{-3}$&$10$\\ meijerg&${\mathrm e}^{-3} \ln \left(1+\frac{x}{4}\right)$&$10$\\ \hline \end{longtable}"," ",0,"ln(4+x)*exp(-3)","A"
3438,1,19,21,0.044000," ","int(1/12*(4*exp(x)*x^3+(9*x+24)*exp(1/4*(-x^2-3*x-4)/x^2))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-\frac{1}{4}-\frac{3}{4 x}-\frac{1}{x^{2}}}+\frac{{\mathrm e}^{x}}{3}$&$19$\\ risch&$\frac{{\mathrm e}^{x}}{3}+{\mathrm e}^{-\frac{x^{2}+3 x +4}{4 x^{2}}}$&$20$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{-x^{2}-3 x -4}{4 x^{2}}}+\frac{{\mathrm e}^{x} x^{2}}{3}}{x^{2}}$&$33$\\ \hline \end{longtable}"," ",0,"exp(-1/4-3/4/x-1/x^2)+1/3*exp(x)","A"
3439,1,16,16,0.020000," ","int((4*x+4)*exp(5*exp(5)+2)-16*x-16,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$2 \left({\mathrm e}^{5 \,{\mathrm e}^{5}+2}-4\right) x \left(2+x \right)$&$16$\\ default&${\mathrm e}^{5 \,{\mathrm e}^{5}+2} \left(2 x^{2}+4 x \right)-8 x^{2}-16 x$&$27$\\ norman&$\left(2 \,{\mathrm e}^{5 \,{\mathrm e}^{5}} {\mathrm e}^{2}-8\right) x^{2}+\left(4 \,{\mathrm e}^{5 \,{\mathrm e}^{5}} {\mathrm e}^{2}-16\right) x$&$30$\\ risch&$2 x^{2} {\mathrm e}^{5 \,{\mathrm e}^{5}+2}+4 x \,{\mathrm e}^{5 \,{\mathrm e}^{5}+2}-8 x^{2}-16 x$&$32$\\ \hline \end{longtable}"," ",0,"2*(exp(5*exp(5)+2)-4)*x*(2+x)","A"
3440,-1,0,21,180.000000," ","int((ln(exp(x)^2/x^6)^2-4*ln(exp(x)^2/x^6)+8*x-24)*exp((x*ln(exp(x)^2/x^6)-4*x)/ln(exp(x)^2/x^6))/ln(exp(x)^2/x^6)^2,x,method=_RETURNVERBOSE)","\text{hanged}"," ",0,"int((ln(exp(x)^2/x^6)^2-4*ln(exp(x)^2/x^6)+8*x-24)*exp((x*ln(exp(x)^2/x^6)-4*x)/ln(exp(x)^2/x^6))/ln(exp(x)^2/x^6)^2,x,method=_RETURNVERBOSE)","F"
3441,1,28,28,0.374000," ","int(((80*x^7+40*x^6+5*x^5+320*x^2+160*x+20)*exp((-4*x^2-2*x)/(20*x+5))+16*x^9+168*x^8+82*x^7+10*x^6)/(80*x^7+40*x^6+5*x^5)/exp((-4*x^2-2*x)/(20*x+5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{1}{x^{4}}+x^{2} {\mathrm e}^{\frac{2 \left(2 x +1\right) x}{5 \left(4 x +1\right)}}$&$28$\\ norman&$\frac{\left(x^{6}+x^{5} {\mathrm e}^{\frac{-4 x^{2}-2 x}{20 x +5}}+4 x^{7}-4 x \,{\mathrm e}^{\frac{-4 x^{2}-2 x}{20 x +5}}+4 x^{6} {\mathrm e}^{\frac{-4 x^{2}-2 x}{20 x +5}}-{\mathrm e}^{\frac{-4 x^{2}-2 x}{20 x +5}}\right) {\mathrm e}^{-\frac{-4 x^{2}-2 x}{20 x +5}}}{x^{4} \left(4 x +1\right)}$&$127$\\ \hline \end{longtable}"," ",0,"x-1/x^4+x^2*exp(2/5*(2*x+1)*x/(4*x+1))","A"
3442,1,28,22,0.083000," ","int(((3*x^2+3*x-3)*exp(x)*ln(x)^2+2*(12*x^2+12*x-12)*ln(2)*exp(x)*ln(x)+2*(-12*x-12)*ln(2)*exp(x))/x^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \left(x +1\right) {\mathrm e}^{x}}{x}+\frac{24 \ln \left(2\right) {\mathrm e}^{x} \left(x +1\right)}{x \ln \left(x \right)}$&$28$\\ norman&$\frac{24 \,{\mathrm e}^{x} \ln \left(2\right)+3 \,{\mathrm e}^{x} \ln \left(x \right)+3 x \,{\mathrm e}^{x} \ln \left(x \right)+24 x \ln \left(2\right) {\mathrm e}^{x}}{x \ln \left(x \right)}$&$36$\\ \hline \end{longtable}"," ",0,"3*(x+1)/x*exp(x)+24/x*ln(2)*exp(x)*(x+1)/ln(x)","A"
3443,1,37,23,0.072000," ","int(((6*x^2+6*x)*ln(x)*ln(ln(x))+(-4*x^4-6*x^3-6*x^2-6*x+5)*ln(x)+3*x^2+6*x)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(3 x^{2}+6 x \right) \ln \left(\ln \left(x \right)\right)-x^{4}-2 x^{3}-3 x^{2}-6 x +5 \ln \left(x \right)$&$37$\\ \hline \end{longtable}"," ",0,"(3*x^2+6*x)*ln(ln(x))-x^4-2*x^3-3*x^2-6*x+5*ln(x)","A"
3444,1,56,23,0.082000," ","int(1/9*(2*x^4+4*x^3)*exp(x)^2+1/9*(-2*x^5-20*x^4-94*x^3-162*x^2)*exp(x)+2/3*x^5+50/9*x^4+316/9*x^3+90*x^2+162*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2 x} x^{4}}{9}+\frac{\left(-2 x^{5}-10 x^{4}-54 x^{3}\right) {\mathrm e}^{x}}{9}+\frac{x^{6}}{9}+\frac{10 x^{5}}{9}+\frac{79 x^{4}}{9}+30 x^{3}+81 x^{2}$&$56$\\ default&$30 x^{3}+81 x^{2}+\frac{79 x^{4}}{9}+\frac{10 x^{5}}{9}+\frac{x^{6}}{9}+\frac{{\mathrm e}^{2 x} x^{4}}{9}-6 \,{\mathrm e}^{x} x^{3}-\frac{10 \,{\mathrm e}^{x} x^{4}}{9}-\frac{2 x^{5} {\mathrm e}^{x}}{9}$&$57$\\ norman&$30 x^{3}+81 x^{2}+\frac{79 x^{4}}{9}+\frac{10 x^{5}}{9}+\frac{x^{6}}{9}+\frac{{\mathrm e}^{2 x} x^{4}}{9}-6 \,{\mathrm e}^{x} x^{3}-\frac{10 \,{\mathrm e}^{x} x^{4}}{9}-\frac{2 x^{5} {\mathrm e}^{x}}{9}$&$57$\\ \hline \end{longtable}"," ",0,"1/9*exp(2*x)*x^4+1/9*(-2*x^5-10*x^4-54*x^3)*exp(x)+1/9*x^6+10/9*x^5+79/9*x^4+30*x^3+81*x^2","B"
3445,1,24,19,0.081000," ","int((-ln(-3*exp(5)+4)-x^2+2)/(x*ln(-3*exp(5)+4)-x^3+10*x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)+\ln \left(x^{2}-\ln \left(-3 \,{\mathrm e}^{5}+4\right)-10 x +2\right)$&$24$\\ norman&$-\ln \left(x \right)+\ln \left(-x^{2}+\ln \left(-3 \,{\mathrm e}^{5}+4\right)+10 x -2\right)$&$24$\\ risch&$-\ln \left(-x \right)+\ln \left(x^{2}-\ln \left(-3 \,{\mathrm e}^{5}+4\right)-10 x +2\right)$&$26$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(x^2-ln(-3*exp(5)+4)-10*x+2)","A"
3446,1,25,19,0.039000," ","int(1/5*((2*x*ln(2)+2*x)*exp(exp(4))+4*x*ln(2)+4*x)*ln(x)+1/5*(x*ln(2)+x)*exp(exp(4))+2/5*x*ln(2)+2/5*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{{\mathrm e}^{{\mathrm e}^{4}} \ln \left(2\right)}{5}+\frac{2 \ln \left(2\right)}{5}+\frac{{\mathrm e}^{{\mathrm e}^{4}}}{5}+\frac{2}{5}\right) x^{2} \ln \left(x \right)$&$25$\\ default&$\frac{{\mathrm e}^{{\mathrm e}^{4}} \ln \left(2\right) x^{2} \ln \left(x \right)}{5}+\frac{2 x^{2} \ln \left(2\right) \ln \left(x \right)}{5}+\frac{{\mathrm e}^{{\mathrm e}^{4}} x^{2} \ln \left(x \right)}{5}+\frac{2 x^{2} \ln \left(x \right)}{5}$&$40$\\ risch&$\frac{{\mathrm e}^{{\mathrm e}^{4}} \ln \left(2\right) x^{2} \ln \left(x \right)}{5}+\frac{2 x^{2} \ln \left(2\right) \ln \left(x \right)}{5}+\frac{{\mathrm e}^{{\mathrm e}^{4}} x^{2} \ln \left(x \right)}{5}+\frac{2 x^{2} \ln \left(x \right)}{5}$&$40$\\ \hline \end{longtable}"," ",0,"(1/5*exp(exp(4))*ln(2)+2/5*ln(2)+1/5*exp(exp(4))+2/5)*x^2*ln(x)","A"
3447,1,43,26,0.106000," ","int((((5*x^3+10*x^2+5*x)*ln(x)+(4*x^3+8*x^2+5*x)*exp(x)-5*x^2-10*x-5)*ln(ln(2))+(-20*x^3-40*x^2-20*x)*ln(x)+(-16*x^3-32*x^2-20*x)*exp(x)+20*x^2+40*x+20)/(5*x^3+10*x^2+5*x)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\left(-5 \ln \left(\ln \left(2\right)\right)+20\right) \ln \left(x \right) {\mathrm e}^{-x}}{5}+\frac{4 x \ln \left(\ln \left(2\right)\right)}{5}-\frac{\ln \left(\ln \left(2\right)\right)}{5 \left(x +1\right)}-\frac{16 x}{5}+\frac{4}{5 \left(x +1\right)}$&$43$\\ risch&$-\left(\ln \left(\ln \left(2\right)\right)-4\right) {\mathrm e}^{-x} \ln \left(x \right)+\frac{4 x^{2} \ln \left(\ln \left(2\right)\right)+4 x \ln \left(\ln \left(2\right)\right)-16 x^{2}-\ln \left(\ln \left(2\right)\right)-16 x +4}{5 x +5}$&$51$\\ norman&$\frac{\left(\left(4-\ln \left(\ln \left(2\right)\right)\right) \ln \left(x \right)+\left(4-\ln \left(\ln \left(2\right)\right)\right) {\mathrm e}^{x}+\left(4-\ln \left(\ln \left(2\right)\right)\right) x \ln \left(x \right)+\left(-\frac{16}{5}+\frac{4 \ln \left(\ln \left(2\right)\right)}{5}\right) x^{2} {\mathrm e}^{x}\right) {\mathrm e}^{-x}}{x +1}$&$56$\\ \hline \end{longtable}"," ",0,"1/5*(-5*ln(ln(2))+20)*ln(x)/exp(x)+4/5*x*ln(ln(2))-1/5*ln(ln(2))/(x+1)-16/5*x+4/5/(x+1)","A"
3448,1,96,26,0.098000," ","int((((-50*x^7-100*x^4-50*x)*exp(x)+50*x^7+100*x^4-150*x^3+50*x-150)*exp(x-exp(x))^2+((-10*x^9+200*x^7-20*x^6+400*x^4-10*x^3+200*x)*exp(x)+10*x^9+20*x^8-200*x^7+20*x^6-20*x^5-400*x^4+1210*x^3-40*x^2-200*x+1200)*exp(x-exp(x))+4*x^10-80*x^8+2*x^7+80*x^5-2*x^4-2400*x^3+160*x^2-2400)/x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}-40 x^{2}+2 x +\frac{-80 x^{5}+x^{4}+800 x^{3}-40 x^{2}+400}{x^{6}}+\frac{25 \left(x^{6}+2 x^{3}+1\right) {\mathrm e}^{-2 \,{\mathrm e}^{x}+2 x}}{x^{6}}+\frac{10 \left(x^{8}-20 x^{6}+2 x^{5}-40 x^{3}+x^{2}-20\right) {\mathrm e}^{x -{\mathrm e}^{x}}}{x^{6}}$&$96$\\ \hline \end{longtable}"," ",0,"x^4-40*x^2+2*x+(-80*x^5+x^4+800*x^3-40*x^2+400)/x^6+25/x^6*(x^6+2*x^3+1)*exp(-2*exp(x)+2*x)+10/x^6*(x^8-20*x^6+2*x^5-40*x^3+x^2-20)*exp(x-exp(x))","B"
3449,1,22,21,0.295000," ","int(((-5*x*exp(16)+5*x^2-29*x)*ln(x)+(5*exp(16)-5*x+24)*ln(-exp(16)+x-24/5))/(15*x*exp(16)-15*x^2+72*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{3}-\frac{x \ln \left(x \right)}{3}+\frac{\ln \left(x \right) \ln \left(-{\mathrm e}^{16}+x -\frac{24}{5}\right)}{3}$&$22$\\ risch&$\frac{x}{3}-\frac{x \ln \left(x \right)}{3}+\frac{\ln \left(x \right) \ln \left(-{\mathrm e}^{16}+x -\frac{24}{5}\right)}{3}$&$22$\\ default&$\frac{\ln \left(-5 \,{\mathrm e}^{16}+5 x -24\right) \ln \left(\frac{5 x}{5 \,{\mathrm e}^{16}+24}\right)}{3}-\frac{\ln \left(5\right) \ln \left(x \right)}{3}-\frac{x \ln \left(x \right)}{3}+\frac{x}{3}+\frac{\left(\ln \left(x \right)-\ln \left(\frac{5 x}{5 \,{\mathrm e}^{16}+24}\right)\right) \ln \left(\frac{5 \,{\mathrm e}^{16}-5 x +24}{5 \,{\mathrm e}^{16}+24}\right)}{3}$&$78$\\ \hline \end{longtable}"," ",0,"1/3*x-1/3*x*ln(x)+1/3*ln(x)*ln(-exp(16)+x-24/5)","A"
3450,1,42,24,0.179000," ","int((((2*x^3-4*x^2)*exp(exp(4))+6*x^7+68*x^6+224*x^5-1024*x^3-1024*x^2)*exp(x^2*exp(exp(4))+x^6+16*x^5+96*x^4+256*x^3+256*x^2+4)+2)*exp(exp(x^2*exp(exp(4))+x^6+16*x^5+96*x^4+256*x^3+256*x^2+4))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x -2\right) {\mathrm e}^{{\mathrm e}^{x^{2} {\mathrm e}^{{\mathrm e}^{4}}+x^{6}+16 x^{5}+96 x^{4}+256 x^{3}+256 x^{2}+4}}}{x}$&$42$\\ norman&$\frac{x \,{\mathrm e}^{{\mathrm e}^{x^{2} {\mathrm e}^{{\mathrm e}^{4}}+x^{6}+16 x^{5}+96 x^{4}+256 x^{3}+256 x^{2}+4}}-2 \,{\mathrm e}^{{\mathrm e}^{x^{2} {\mathrm e}^{{\mathrm e}^{4}}+x^{6}+16 x^{5}+96 x^{4}+256 x^{3}+256 x^{2}+4}}}{x}$&$78$\\ \hline \end{longtable}"," ",0,"(x-2)/x*exp(exp(x^2*exp(exp(4))+x^6+16*x^5+96*x^4+256*x^3+256*x^2+4))","A"
3451,1,24,26,0.089000," ","int(((-exp(x)+2*(1-x)*ln(2)-4*x^2+x+7)*ln(x)+exp(x)-2*ln(2)-4*x-7)/(exp(x)*x-2*x*ln(2)-4*x^2-7*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+x -\ln \left({\mathrm e}^{x}-2 \ln \left(2\right)-4 x -7\right)+\ln \left(\ln \left(x \right)\right)$&$24$\\ norman&$x -\ln \left(x \right)-\ln \left(2 \ln \left(2\right)+4 x -{\mathrm e}^{x}+7\right)+\ln \left(\ln \left(x \right)\right)$&$26$\\ \hline \end{longtable}"," ",0,"-ln(x)+x-ln(exp(x)-2*ln(2)-4*x-7)+ln(ln(x))","A"
3452,1,35,30,0.064000," ","int(((-2*x-1)*ln(2*x+1)+2*x^6-15*x^5-2*x^4+111*x^3-52*x^2-49*x+4)/((2*x+1)*ln(2*x+1)-2*x^6+5*x^5+21*x^4-45*x^3-29*x^2-7*x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x +\ln \left(x^{5}-3 x^{4}-9 x^{3}+27 x^{2}+x -\ln \left(2 x +1\right)+3\right)$&$35$\\ risch&$-x +\ln \left(-x^{5}+3 x^{4}+9 x^{3}-27 x^{2}-x +\ln \left(2 x +1\right)-3\right)$&$37$\\ \hline \end{longtable}"," ",0,"-x+ln(x^5-3*x^4-9*x^3+27*x^2+x-ln(2*x+1)+3)","A"
3453,1,19,19,0.050000," ","int(((-2*x^2-32*x+1)*exp(x^2+32*x+256)-x^2-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x}-x -\frac{{\mathrm e}^{\left(x +16\right)^{2}}}{x}$&$19$\\ norman&$\frac{1-x^{2}-{\mathrm e}^{x^{2}+32 x +256}}{x}$&$23$\\ \hline \end{longtable}"," ",0,"1/x-x-exp((x+16)^2)/x","A"
3454,1,22,35,0.066000," ","int(((-288*x*exp(3*x^2)-24*exp(2)-24)*exp(exp(3*x^2))-120*exp(2)-120)/(exp(x+exp(2)*x)*exp(exp(3*x^2))^3+15*exp(x+exp(2)*x)*exp(exp(3*x^2))^2+75*exp(x+exp(2)*x)*exp(exp(3*x^2))+125*exp(x+exp(2)*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{24 \,{\mathrm e}^{-\left({\mathrm e}^{2}+1\right) x}}{\left(5+{\mathrm e}^{{\mathrm e}^{3 x^{2}}}\right)^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"24*exp(-(exp(2)+1)*x)/(5+exp(exp(3*x^2)))^2","A"
3455,1,13,14,0.023000," ","int(-exp(5)+x-60/29,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(-29 x +58 \,{\mathrm e}^{5}+120\right)}{58}$&$13$\\ default&$-x \,{\mathrm e}^{5}+\frac{x^{2}}{2}-\frac{60 x}{29}$&$15$\\ norman&$\left(-{\mathrm e}^{5}-\frac{60}{29}\right) x +\frac{x^{2}}{2}$&$15$\\ risch&$-x \,{\mathrm e}^{5}+\frac{x^{2}}{2}-\frac{60 x}{29}$&$15$\\ \hline \end{longtable}"," ",0,"-1/58*x*(-29*x+58*exp(5)+120)","A"
3456,1,25,22,0.203000," ","int(((-16*x+16)*ln(2)^2*exp(x)+4*x^2*ln(2)^2+48*ln(2))/(16*ln(2)^2*exp(x)^2+(-8*x^2*ln(2)^2+(-64*x+96)*ln(2))*exp(x)+x^4*ln(2)^2+(16*x^3-24*x^2)*ln(2)+64*x^2-192*x+144),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x \ln \left(2\right)}{x^{2} \ln \left(2\right)-4 \,{\mathrm e}^{x} \ln \left(2\right)+8 x -12}$&$25$\\ norman&$\frac{-2 \ln \left(2\right)^{2} {\mathrm e}^{x}+\frac{x^{2} \ln \left(2\right)^{2}}{2}-6 \ln \left(2\right)}{x^{2} \ln \left(2\right)-4 \,{\mathrm e}^{x} \ln \left(2\right)+8 x -12}$&$43$\\ \hline \end{longtable}"," ",0,"-4*x*ln(2)/(x^2*ln(2)-4*exp(x)*ln(2)+8*x-12)","A"
3457,1,3,6,0.008000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
3458,1,41,26,0.023000," ","int(1/9*(-72*x^3+288*x^2-360*x+144)*exp(x^2)-20/9*x^4-32/9*x^3+188/3*x^2-352/3*x+48,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-36 x^{2}+144 x -144\right) {\mathrm e}^{x^{2}}}{9}-\frac{4 x^{5}}{9}-\frac{8 x^{4}}{9}+\frac{188 x^{3}}{9}-\frac{176 x^{2}}{3}+48 x$&$41$\\ default&$48 x -\frac{176 x^{2}}{3}+\frac{188 x^{3}}{9}-\frac{8 x^{4}}{9}-\frac{4 x^{5}}{9}-16 \,{\mathrm e}^{x^{2}}+16 \,{\mathrm e}^{x^{2}} x -4 x^{2} {\mathrm e}^{x^{2}}$&$47$\\ norman&$48 x -\frac{176 x^{2}}{3}+\frac{188 x^{3}}{9}-\frac{8 x^{4}}{9}-\frac{4 x^{5}}{9}-16 \,{\mathrm e}^{x^{2}}+16 \,{\mathrm e}^{x^{2}} x -4 x^{2} {\mathrm e}^{x^{2}}$&$47$\\ \hline \end{longtable}"," ",0,"1/9*(-36*x^2+144*x-144)*exp(x^2)-4/9*x^5-8/9*x^4+188/9*x^3-176/3*x^2+48*x","A"
3459,1,26,17,0.053000," ","int(1/4*(3*x^4-3*x^2)/(x^6+6*x^5+9*x^4-2*x^3-6*x^2+1)/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{3 x^{2}-1}{4 \ln \left(2\right)^{2} \left(x^{3}+3 x^{2}-1\right)}$&$26$\\ default&$\frac{-\frac{3 x^{2}}{4}+\frac{1}{4}}{\ln \left(2\right)^{2} \left(x^{3}+3 x^{2}-1\right)}$&$26$\\ risch&$\frac{-3 x^{2}+1}{4 \ln \left(2\right)^{2} \left(x^{3}+3 x^{2}-1\right)}$&$26$\\ norman&$\frac{-\frac{3 x^{2}}{4 \ln \left(2\right)}+\frac{1}{4 \ln \left(2\right)}}{\left(x^{3}+3 x^{2}-1\right) \ln \left(2\right)}$&$34$\\ \hline \end{longtable}"," ",0,"-1/4*(3*x^2-1)/ln(2)^2/(x^3+3*x^2-1)","A"
3460,1,115,21,0.167000," ","int((-6*ln(x^2)^2+(-24*x^2*ln(x)-12*x^2)*ln(x^2)+24*x^2*ln(x))/(x*ln(x)^2*ln(x^2)^2+4*x^3*ln(x)^2*ln(x^2)+4*x^5*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-12 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+6 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+24 i \ln \left(x \right)}{\left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i x^{2}+4 i \ln \left(x \right)\right) \ln \left(x \right)}$&$115$\\ \hline \end{longtable}"," ",0,"6*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x))/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*x^2+4*I*ln(x))/ln(x)","C"
3461,1,131,23,0.040000," ","int((109350*x^5*exp(4)^4-510300*x^6*exp(4)^3+874800*x^7*exp(4)^2-656100*x^8*exp(4)+182250*x^9)*ln(x)^2+((-51030*x^6+36450*x^5)*exp(4)^4+(233280*x^7-145800*x^6)*exp(4)^3+(-393660*x^8+218700*x^7)*exp(4)^2+(291600*x^9-145800*x^8)*exp(4)-80190*x^10+36450*x^9)*ln(x)+(5832*x^7-7290*x^6)*exp(4)^4+(-26244*x^8+29160*x^7)*exp(4)^3+(43740*x^9-43740*x^8)*exp(4)^2+(-32076*x^10+29160*x^9)*exp(4)+8748*x^11-7290*x^10,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$18225 \,{\mathrm e}^{16} x^{6} \ln \left(x \right)^{2}-72900 \,{\mathrm e}^{12} x^{7} \ln \left(x \right)^{2}+109350 \,{\mathrm e}^{8} x^{8} \ln \left(x \right)^{2}-72900 \,{\mathrm e}^{4} x^{9} \ln \left(x \right)^{2}+18225 x^{10} \ln \left(x \right)^{2}-7290 \,{\mathrm e}^{16} x^{7} \ln \left(x \right)+29160 \,{\mathrm e}^{12} x^{8} \ln \left(x \right)-43740 \,{\mathrm e}^{8} x^{9} \ln \left(x \right)+29160 \,{\mathrm e}^{4} x^{10} \ln \left(x \right)-7290 x^{11} \ln \left(x \right)+729 x^{8} {\mathrm e}^{16}-2916 \,{\mathrm e}^{12} x^{9}+4374 \,{\mathrm e}^{8} x^{10}-2916 \,{\mathrm e}^{4} x^{11}+729 x^{12}$&$131$\\ default&$18225 x^{10} \ln \left(x \right)^{2}-7290 x^{11} \ln \left(x \right)+\frac{7290 \,{\mathrm e}^{16} x^{7}}{7}-3645 \,{\mathrm e}^{12} x^{8}+4860 \,{\mathrm e}^{8} x^{9}-2916 \,{\mathrm e}^{4} x^{10}-7290 \,{\mathrm e}^{16} x^{7} \ln \left(x \right)+29160 \,{\mathrm e}^{12} x^{8} \ln \left(x \right)-43740 \,{\mathrm e}^{8} x^{9} \ln \left(x \right)+29160 \,{\mathrm e}^{4} x^{10} \ln \left(x \right)+18225 \,{\mathrm e}^{16} x^{6} \ln \left(x \right)^{2}-72900 \,{\mathrm e}^{12} x^{7} \ln \left(x \right)^{2}+109350 \,{\mathrm e}^{8} x^{8} \ln \left(x \right)^{2}-72900 \,{\mathrm e}^{4} x^{9} \ln \left(x \right)^{2}+{\mathrm e}^{16} \left(729 x^{8}-\frac{7290}{7} x^{7}\right)+{\mathrm e}^{12} \left(-2916 x^{9}+3645 x^{8}\right)+{\mathrm e}^{8} \left(4374 x^{10}-4860 x^{9}\right)+{\mathrm e}^{4} \left(-2916 x^{11}+2916 x^{10}\right)+729 x^{12}$&$211$\\ \hline \end{longtable}"," ",0,"18225*exp(16)*x^6*ln(x)^2-72900*exp(12)*x^7*ln(x)^2+109350*exp(8)*x^8*ln(x)^2-72900*exp(4)*x^9*ln(x)^2+18225*x^10*ln(x)^2-7290*exp(16)*x^7*ln(x)+29160*exp(12)*x^8*ln(x)-43740*exp(8)*x^9*ln(x)+29160*exp(4)*x^10*ln(x)-7290*x^11*ln(x)+729*x^8*exp(16)-2916*exp(12)*x^9+4374*exp(8)*x^10-2916*exp(4)*x^11+729*x^12","B"
3462,1,13,17,0.029000," ","int((-x^2*exp(x)*ln(x)+(1-x)*exp(x)+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\left(x -1\right) {\mathrm e}^{x} \ln \left(x \right)+\ln \left(x \right)$&$13$\\ default&$\ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)-x \,{\mathrm e}^{x} \ln \left(x \right)$&$16$\\ norman&$\ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)-x \,{\mathrm e}^{x} \ln \left(x \right)$&$16$\\ \hline \end{longtable}"," ",0,"-(x-1)*exp(x)*ln(x)+ln(x)","A"
3463,1,29,19,0.028000," ","int((-x*ln(x)*ln(ln(x))+((2*x^3+4*x^2+2*x)*exp(x)^2-4*x)*ln(x)+x+1)/(x^3+2*x^2+x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(x \right)\right)}{x +1}+\frac{x \,{\mathrm e}^{2 x}+{\mathrm e}^{2 x}+4}{x +1}$&$29$\\ \hline \end{longtable}"," ",0,"1/(x+1)*ln(ln(x))+(x*exp(2*x)+exp(2*x)+4)/(x+1)","A"
3464,1,20,21,0.112000," ","int(((-40*x^5+60*x^4)*exp(-x+4)^2+15)*exp(-5*x/(4*x^4*exp(-x+4)^2-3))/(16*x^8*exp(-x+4)^4-24*x^4*exp(-x+4)^2+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{5 x}{4 x^{4} {\mathrm e}^{-2 x +8}-3}}$&$20$\\ \hline \end{longtable}"," ",0,"exp(-5*x/(4*x^4*exp(-2*x+8)-3))","A"
3465,1,44,25,0.475000," ","int((16*x^14+1328*x^13+45152*x^12+802040*x^11+7831044*x^10+40329056*x^9+97752008*x^8+118319872*x^7+78478560*x^6+34328064*x^5+11917824*x^4+3407872*x^3+693248*x^2+81920*x+4096)*exp((x^12+68*x^11+1812*x^10+23566*x^9+151036*x^8+432496*x^7+578769*x^6+364256*x^5+114368*x^4+17408*x^3+1024*x^2)/(x^8+64*x^7+1552*x^6+17152*x^5+77920*x^4+68608*x^3+24832*x^2+4096*x+256))/(x^10+80*x^9+2580*x^8+42240*x^7+358560*x^6+1383936*x^5+1434240*x^4+675840*x^3+165120*x^2+20480*x+1024),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \,{\mathrm e}^{\frac{x^{2} \left(x^{5}+34 x^{4}+328 x^{3}+631 x^{2}+272 x +32\right)^{2}}{\left(x^{2}+16 x +4\right)^{4}}}$&$44$\\ gosper&$4 x \,{\mathrm e}^{\frac{x^{2} \left(x^{10}+68 x^{9}+1812 x^{8}+23566 x^{7}+151036 x^{6}+432496 x^{5}+578769 x^{4}+364256 x^{3}+114368 x^{2}+17408 x +1024\right)}{x^{8}+64 x^{7}+1552 x^{6}+17152 x^{5}+77920 x^{4}+68608 x^{3}+24832 x^{2}+4096 x +256}}$&$97$\\ norman&$\frac{1024 x \,{\mathrm e}^{\frac{x^{12}+68 x^{11}+1812 x^{10}+23566 x^{9}+151036 x^{8}+432496 x^{7}+578769 x^{6}+364256 x^{5}+114368 x^{4}+17408 x^{3}+1024 x^{2}}{x^{8}+64 x^{7}+1552 x^{6}+17152 x^{5}+77920 x^{4}+68608 x^{3}+24832 x^{2}+4096 x +256}}+16384 x^{2} {\mathrm e}^{\frac{x^{12}+68 x^{11}+1812 x^{10}+23566 x^{9}+151036 x^{8}+432496 x^{7}+578769 x^{6}+364256 x^{5}+114368 x^{4}+17408 x^{3}+1024 x^{2}}{x^{8}+64 x^{7}+1552 x^{6}+17152 x^{5}+77920 x^{4}+68608 x^{3}+24832 x^{2}+4096 x +256}}+99328 x^{3} {\mathrm e}^{\frac{x^{12}+68 x^{11}+1812 x^{10}+23566 x^{9}+151036 x^{8}+432496 x^{7}+578769 x^{6}+364256 x^{5}+114368 x^{4}+17408 x^{3}+1024 x^{2}}{x^{8}+64 x^{7}+1552 x^{6}+17152 x^{5}+77920 x^{4}+68608 x^{3}+24832 x^{2}+4096 x +256}}+274432 x^{4} {\mathrm e}^{\frac{x^{12}+68 x^{11}+1812 x^{10}+23566 x^{9}+151036 x^{8}+432496 x^{7}+578769 x^{6}+364256 x^{5}+114368 x^{4}+17408 x^{3}+1024 x^{2}}{x^{8}+64 x^{7}+1552 x^{6}+17152 x^{5}+77920 x^{4}+68608 x^{3}+24832 x^{2}+4096 x +256}}+311680 x^{5} {\mathrm e}^{\frac{x^{12}+68 x^{11}+1812 x^{10}+23566 x^{9}+151036 x^{8}+432496 x^{7}+578769 x^{6}+364256 x^{5}+114368 x^{4}+17408 x^{3}+1024 x^{2}}{x^{8}+64 x^{7}+1552 x^{6}+17152 x^{5}+77920 x^{4}+68608 x^{3}+24832 x^{2}+4096 x +256}}+68608 x^{6} {\mathrm e}^{\frac{x^{12}+68 x^{11}+1812 x^{10}+23566 x^{9}+151036 x^{8}+432496 x^{7}+578769 x^{6}+364256 x^{5}+114368 x^{4}+17408 x^{3}+1024 x^{2}}{x^{8}+64 x^{7}+1552 x^{6}+17152 x^{5}+77920 x^{4}+68608 x^{3}+24832 x^{2}+4096 x +256}}+6208 x^{7} {\mathrm e}^{\frac{x^{12}+68 x^{11}+1812 x^{10}+23566 x^{9}+151036 x^{8}+432496 x^{7}+578769 x^{6}+364256 x^{5}+114368 x^{4}+17408 x^{3}+1024 x^{2}}{x^{8}+64 x^{7}+1552 x^{6}+17152 x^{5}+77920 x^{4}+68608 x^{3}+24832 x^{2}+4096 x +256}}+256 x^{8} {\mathrm e}^{\frac{x^{12}+68 x^{11}+1812 x^{10}+23566 x^{9}+151036 x^{8}+432496 x^{7}+578769 x^{6}+364256 x^{5}+114368 x^{4}+17408 x^{3}+1024 x^{2}}{x^{8}+64 x^{7}+1552 x^{6}+17152 x^{5}+77920 x^{4}+68608 x^{3}+24832 x^{2}+4096 x +256}}+4 x^{9} {\mathrm e}^{\frac{x^{12}+68 x^{11}+1812 x^{10}+23566 x^{9}+151036 x^{8}+432496 x^{7}+578769 x^{6}+364256 x^{5}+114368 x^{4}+17408 x^{3}+1024 x^{2}}{x^{8}+64 x^{7}+1552 x^{6}+17152 x^{5}+77920 x^{4}+68608 x^{3}+24832 x^{2}+4096 x +256}}}{\left(x^{2}+16 x +4\right)^{4}}$&$920$\\ \hline \end{longtable}"," ",0,"4*x*exp(x^2*(x^5+34*x^4+328*x^3+631*x^2+272*x+32)^2/(x^2+16*x+4)^4)","A"
3466,1,21,17,0.032000," ","int((-10*x*ln(2)+20*x^2-30*x-10)/(3*x*ln(x)^3+(9*x^2*ln(2)-9*x^3+27*x^2+45*x)*ln(x)^2+(9*x^3*ln(2)^2+(-18*x^4+54*x^3+90*x^2)*ln(2)+9*x^5-54*x^4-9*x^3+270*x^2+225*x)*ln(x)+3*x^4*ln(2)^3+(-9*x^5+27*x^4+45*x^3)*ln(2)^2+(9*x^6-54*x^5-9*x^4+270*x^3+225*x^2)*ln(2)-3*x^7+27*x^6-36*x^5-189*x^4+180*x^3+675*x^2+375*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{3 \left(x \ln \left(2\right)-x^{2}+\ln \left(x \right)+3 x +5\right)^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"5/3/(x*ln(2)-x^2+ln(x)+3*x+5)^2","A"
3467,1,69,28,0.107000," ","int((((-512*x^3+1024*x)*exp(1)+2048*x^7-12288*x^5+24576*x^3-16384*x)*exp(2)+256*exp(1)^2+(2048*x^4-8192)*exp(1)-12288*x^8+65536*x^6-98304*x^4+65536)/(exp(2)^3-24*x*exp(2)^2+192*x^2*exp(2)-512*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(6144-128 \,{\mathrm e}\right) x^{4}+\left(128 \,{\mathrm e} \,{\mathrm e}^{2}-2048 \,{\mathrm e}^{2}\right) x -2048 x^{6}+256 x^{8}+4096-8 \,{\mathrm e} \,{\mathrm e}^{4}+128 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{2}-512 \,{\mathrm e}}{\left({\mathrm e}^{2}-8 x \right)^{2}}$&$69$\\ gosper&$-\frac{8 \left(-32 x^{8}+256 x^{6}+16 x^{4} {\mathrm e}-768 x^{4}+{\mathrm e} \,{\mathrm e}^{4}-16 x \,{\mathrm e} \,{\mathrm e}^{2}-16 \,{\mathrm e}^{4}+256 \,{\mathrm e}^{2} x -2 \,{\mathrm e}^{2}+64 \,{\mathrm e}-512\right)}{{\mathrm e}^{4}-16 \,{\mathrm e}^{2} x +64 x^{2}}$&$79$\\ risch&$\frac{3 x \,{\mathrm e}^{10}}{4096}+\frac{5 x^{2} {\mathrm e}^{8}}{1024}+\frac{x^{3} {\mathrm e}^{6}}{32}+\frac{3 x^{4} {\mathrm e}^{4}}{16}-\frac{x \,{\mathrm e}^{6}}{4}+{\mathrm e}^{2} x^{5}-\frac{3 x^{2} {\mathrm e}^{4}}{2}+4 x^{6}-8 x^{3} {\mathrm e}^{2}-\frac{x \,{\mathrm e}^{3}}{2}-32 x^{4}+24 \,{\mathrm e}^{2} x -2 x^{2} {\mathrm e}+96 x^{2}+\frac{\frac{\left(4 \,{\mathrm e}^{14}-1536 \,{\mathrm e}^{10}-4096 \,{\mathrm e}^{7}+196608 \,{\mathrm e}^{6}+524288 \,{\mathrm e}^{3}-8388608 \,{\mathrm e}^{2}\right) x}{4096}-\frac{7 \,{\mathrm e}^{16}}{65536}+\frac{5 \,{\mathrm e}^{12}}{128}+\frac{3 \,{\mathrm e}^{9}}{32}-\frac{9 \,{\mathrm e}^{8}}{2}-8 \,{\mathrm e}^{5}+128 \,{\mathrm e}^{4}+16 \,{\mathrm e}^{2}-512 \,{\mathrm e}+4096}{{\mathrm e}^{4}-16 \,{\mathrm e}^{2} x +64 x^{2}}$&$163$\\ default&$24 \,{\mathrm e}^{2} x -\frac{3 x \,{\mathrm e} \,{\mathrm e}^{2}}{2}+{\mathrm e}^{2} x^{5}+\frac{405 x \,{\mathrm e}^{10}}{4096}+\frac{x^{3} {\mathrm e}^{6}}{4}+\frac{81 x^{2} {\mathrm e}^{8}}{512}+4 x^{6}-32 x^{4}+96 x^{2}-\frac{171 x^{2} \left({\mathrm e}^{4}\right)^{2}}{1024}-\frac{3 x^{2} {\mathrm e}^{4}}{2}-\frac{29 x \,{\mathrm e}^{6}}{8}-8 x^{3} {\mathrm e}^{2}+x \,{\mathrm e}^{3}-2 x^{2} {\mathrm e}+\frac{3 x^{4} {\mathrm e}^{4}}{16}-\frac{609 \,{\mathrm e}^{6} {\mathrm e}^{4} x}{4096}-\frac{7 x^{3} {\mathrm e}^{2} {\mathrm e}^{4}}{32}+\frac{7 x^{2} {\mathrm e}^{2} {\mathrm e}^{6}}{512}-\frac{\left(\munderset{\textit{\_R} =\RootOf \left(-{\mathrm e}^{6}+24 \textit{\_Z} \,{\mathrm e}^{4}-192 \textit{\_Z}^{2} {\mathrm e}^{2}+512 \textit{\_Z}^{3}\right)}{\sum}\frac{\left(-67108864 \,{\mathrm e}^{2} \textit{\_R} +4194304 \textit{\_R} \,{\mathrm e}^{3}+1572864 \textit{\_R} \,{\mathrm e}^{6}+32 \textit{\_R} \,{\mathrm e}^{14}-12288 \textit{\_R} \,{\mathrm e}^{10}-32768 \textit{\_R} \,{\mathrm e}^{7}+1048576 \,{\mathrm e}^{2}-33554432 \,{\mathrm e}-3 \,{\mathrm e}^{16}+1024 \,{\mathrm e}^{12}+2048 \,{\mathrm e}^{9}-98304 \,{\mathrm e}^{8}+268435456\right) \ln \left(x -\textit{\_R} \right)}{{\mathrm e}^{4}-16 \,{\mathrm e}^{2} \textit{\_R} +64 \textit{\_R}^{2}}\right)}{98304}+\frac{207 \,{\mathrm e}^{2} {\mathrm e}^{8} x}{4096}+\frac{27 \,{\mathrm e}^{2} {\mathrm e}^{4} x}{8}$&$314$\\ \hline \end{longtable}"," ",0,"((6144-128*exp(1))*x^4+(128*exp(1)*exp(2)-2048*exp(2))*x-2048*x^6+256*x^8+4096-8*exp(2)^2*exp(1)+128*exp(2)^2+16*exp(1)^2-512*exp(1))/(exp(2)-8*x)^2","B"
3468,1,28,26,0.187000," ","int(((-60*x^4-5*x^2+40)*exp(1)*exp((4*x^4+x^2+8)/x)+5*exp(1)^2)/(x^2*exp((4*x^4+x^2+8)/x)^2+2*x*exp(1)*exp((4*x^4+x^2+8)/x)+exp(1)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 x \,{\mathrm e}}{x \,{\mathrm e}^{\frac{4 x^{4}+x^{2}+8}{x}}+{\mathrm e}}$&$28$\\ risch&$\frac{5 x \,{\mathrm e}}{x \,{\mathrm e}^{\frac{4 x^{4}+x^{2}+8}{x}}+{\mathrm e}}$&$28$\\ \hline \end{longtable}"," ",0,"5*x*exp(1)/(x*exp((4*x^4+x^2+8)/x)+exp(1))","A"
3469,1,12,11,0.048000," ","int((-ln(2*x)+ln(-x))/x/ln(-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(2 x \right)}{\ln \left(-x \right)}$&$12$\\ default&$\frac{\ln \left(2\right)}{\ln \left(-x \right)}+\frac{\ln \left(x \right)}{\ln \left(-x \right)}$&$20$\\ risch&$-\frac{2 i \left(-\ln \left(2\right)+i \pi +i \pi  \mathrm{csgn}\left(i x \right)^{2} \left(\mathrm{csgn}\left(i x \right)-1\right)\right)}{2 \pi  \mathrm{csgn}\left(i x \right)^{2}-2 \pi  \mathrm{csgn}\left(i x \right)^{3}-2 \pi +2 i \ln \left(x \right)}$&$62$\\ \hline \end{longtable}"," ",0,"ln(2*x)/ln(-x)","A"
3470,1,19,20,0.042000," ","int(((-3*x-6)*exp(ln(x)+4)-5)/((x^2+3*x)*exp(ln(x)+4)+5*x+15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(3+x \right)-\ln \left(x^{2} {\mathrm e}^{4}+5\right)$&$19$\\ default&$-\ln \left(x^{3} {\mathrm e}^{4}+3 x^{2} {\mathrm e}^{4}+5 x +15\right)$&$22$\\ risch&$-\ln \left(x^{3} {\mathrm e}^{4}+3 x^{2} {\mathrm e}^{4}+5 x +15\right)$&$22$\\ \hline \end{longtable}"," ",0,"-ln(3+x)-ln(x^2*exp(4)+5)","A"
3471,1,154,24,0.105000," ","int(((2*x*ln(x)+4*x^2)*ln(2*x/(2*x+ln(x)))+(x*exp(3)+2*x^2-x-6)*ln(x)+2*x^2*exp(3)+4*x^3-6*x^2-2*x+6)/(2*x*ln(x)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(x +\frac{\ln \left(x \right)}{2}\right)+x \ln \left(x \right)-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x +\frac{\ln \left(x \right)}{2}}\right) \mathrm{csgn}\left(\frac{i x}{x +\frac{\ln \left(x \right)}{2}}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{x +\frac{\ln \left(x \right)}{2}}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x +\frac{\ln \left(x \right)}{2}}\right) \mathrm{csgn}\left(\frac{i x}{x +\frac{\ln \left(x \right)}{2}}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i x}{x +\frac{\ln \left(x \right)}{2}}\right)^{3}}{2}+\frac{x \,{\mathrm e}^{3}}{2}+\frac{x^{2}}{2}-\frac{3 x}{2}-3 \ln \left(x \right)+3 \ln \left(2 x +\ln \left(x \right)\right)$&$154$\\ \hline \end{longtable}"," ",0,"-x*ln(x+1/2*ln(x))+x*ln(x)-1/2*I*Pi*x*csgn(I*x)*csgn(I/(x+1/2*ln(x)))*csgn(I*x/(x+1/2*ln(x)))+1/2*I*Pi*x*csgn(I*x)*csgn(I*x/(x+1/2*ln(x)))^2+1/2*I*Pi*x*csgn(I/(x+1/2*ln(x)))*csgn(I*x/(x+1/2*ln(x)))^2-1/2*I*Pi*x*csgn(I*x/(x+1/2*ln(x)))^3+1/2*x*exp(3)+1/2*x^2-3/2*x-3*ln(x)+3*ln(2*x+ln(x))","C"
3472,1,44,23,0.371000," ","int(((-x^2-12*x-36)*exp(x^2)^2*ln(55/4*exp(x/(x+6)/exp(x^2)^2))+(x^4+12*x^3+36*x^2)*exp(x^2)^2-4*x^4-24*x^3+6*x)/(x^4+12*x^3+36*x^2)/exp(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}^{\frac{x \,{\mathrm e}^{-2 x^{2}}}{x +6}}\right)}{x}-\frac{-2 x^{2}+4 \ln \left(2\right)-2 \ln \left(5\right)-2 \ln \left(11\right)}{2 x}$&$44$\\ default&$\frac{\left(x^{4} {\mathrm e}^{4 x^{2}}+x^{2} {\mathrm e}^{2 x^{2}}+\left(-432+12 \ln \left(\frac{55 \,{\mathrm e}^{\frac{x \,{\mathrm e}^{-2 x^{2}}}{x +6}}}{4}\right)-\frac{12 x \,{\mathrm e}^{-2 x^{2}}}{x +6}\right) x \,{\mathrm e}^{4 x^{2}}+\left(-108+\ln \left(\frac{55 \,{\mathrm e}^{\frac{x \,{\mathrm e}^{-2 x^{2}}}{x +6}}}{4}\right)-\frac{x \,{\mathrm e}^{-2 x^{2}}}{x +6}\right) x^{2} {\mathrm e}^{4 x^{2}}+36 \left(\ln \left(\frac{55 \,{\mathrm e}^{\frac{x \,{\mathrm e}^{-2 x^{2}}}{x +6}}}{4}\right)-\frac{x \,{\mathrm e}^{-2 x^{2}}}{x +6}\right) {\mathrm e}^{4 x^{2}}+6 x \,{\mathrm e}^{2 x^{2}}\right) {\mathrm e}^{-4 x^{2}}}{x \left(x +6\right)^{2}}$&$172$\\ \hline \end{longtable}"," ",0,"1/x*ln(exp(x/(x+6)*exp(-2*x^2)))-1/2*(-2*x^2+4*ln(2)-2*ln(5)-2*ln(11))/x","A"
3473,1,28,27,0.053000," ","int(((-4*exp(x)-2*x*exp(5))*ln(1+2*ln(2))^2+4*exp(5)*exp(x)+2*x*exp(5)^2)*exp(4*exp(x)+x^2*exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left({\mathrm e}^{5}-\ln \left(1+2 \ln \left(2\right)\right)^{2}\right) {\mathrm e}^{4 \,{\mathrm e}^{x}+x^{2} {\mathrm e}^{5}}$&$28$\\ risch&$-\ln \left(1+2 \ln \left(2\right)\right)^{2} {\mathrm e}^{4 \,{\mathrm e}^{x}+x^{2} {\mathrm e}^{5}}+{\mathrm e}^{5} {\mathrm e}^{4 \,{\mathrm e}^{x}+x^{2} {\mathrm e}^{5}}$&$40$\\ \hline \end{longtable}"," ",0,"(exp(5)-ln(1+2*ln(2))^2)*exp(4*exp(x)+x^2*exp(5))","A"
3474,1,30,29,0.130000," ","int((x*ln(x)^2+(x*ln(3/2/x)+(x^2+2*x)*exp(x)+2*x^3-8*x^2-1)*ln(x)-ln(3/2/x)+exp(x)*x-2*x^2)/(x*ln(x)^2+(x*ln(3/2/x)-exp(x)*x^2+2*x^3)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\ln \left(\ln \left(x \right)\right)-2 \ln \left(-{\mathrm e}^{x} x +2 x^{2}+\ln \left(x \right)+\ln \left(\frac{3}{2 x}\right)\right)$&$30$\\ risch&$x -2 \ln \left(x \right)-2 \ln \left({\mathrm e}^{x}+\frac{i \left(4 i x^{2}+2 i \ln \left(3\right)-2 i \ln \left(2\right)\right)}{2 x}\right)-\ln \left(\ln \left(x \right)\right)$&$41$\\ \hline \end{longtable}"," ",0,"x-ln(ln(x))-2*ln(-exp(x)*x+2*x^2+ln(x)+ln(3/2/x))","A"
3475,1,22,20,0.126000," ","int(((-3*x*exp(1)+3*x^2)*ln(x^2*exp(1)-x^3)^3+4*exp(1)-6*x)/(x*exp(1)-x^2)/ln(x^2*exp(1)-x^3)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x -\frac{1}{\ln \left(x^{2} {\mathrm e}-x^{3}\right)^{2}}$&$22$\\ risch&$-3 x -\frac{1}{\ln \left(x^{2} {\mathrm e}-x^{3}\right)^{2}}$&$22$\\ norman&$\frac{-1-3 x \ln \left(x^{2} {\mathrm e}-x^{3}\right)^{2}}{\ln \left(x^{2} {\mathrm e}-x^{3}\right)^{2}}$&$37$\\ \hline \end{longtable}"," ",0,"-3*x-1/ln(x^2*exp(1)-x^3)^2","A"
3476,1,18,18,0.069000," ","int(1/2*(5*x*exp(x)*ln(x)+(4*x^2+2)*exp(exp(5))+5*exp(x))/x/exp(exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\ln \left(x \right)+\frac{5 \ln \left(x \right) {\mathrm e}^{-{\mathrm e}^{5}} {\mathrm e}^{x}}{2}$&$18$\\ risch&$x^{2}+\ln \left(x \right)+\frac{5 \ln \left(x \right) {\mathrm e}^{-{\mathrm e}^{5}+x}}{2}$&$18$\\ default&$\frac{{\mathrm e}^{-{\mathrm e}^{5}} \left(5 \,{\mathrm e}^{x} \ln \left(x \right)+2 x^{2} {\mathrm e}^{{\mathrm e}^{5}}+2 \,{\mathrm e}^{{\mathrm e}^{5}} \ln \left(x \right)\right)}{2}$&$30$\\ \hline \end{longtable}"," ",0,"x^2+ln(x)+5/2*ln(x)/exp(exp(5))*exp(x)","A"
3477,1,64,20,0.021000," ","int(1/5*(108*x^2+528*x+484)*ln(x)^2+1/5*(-792*x^2-3696*x-2904)*ln(x)-144/5*x^3+648/5*x^2+5368/5*x+3872/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{7744 x}{5}+748 x^{2}+\frac{312 x^{3}}{5}-\frac{36 x^{4}}{5}-\frac{288 x^{3} \ln \left(x \right)}{5}-\frac{2112 x^{2} \ln \left(x \right)}{5}-\frac{3872 x \ln \left(x \right)}{5}+\frac{36 x^{3} \ln \left(x \right)^{2}}{5}+\frac{264 x^{2} \ln \left(x \right)^{2}}{5}+\frac{484 x \ln \left(x \right)^{2}}{5}$&$64$\\ norman&$\frac{7744 x}{5}+748 x^{2}+\frac{312 x^{3}}{5}-\frac{36 x^{4}}{5}-\frac{288 x^{3} \ln \left(x \right)}{5}-\frac{2112 x^{2} \ln \left(x \right)}{5}-\frac{3872 x \ln \left(x \right)}{5}+\frac{36 x^{3} \ln \left(x \right)^{2}}{5}+\frac{264 x^{2} \ln \left(x \right)^{2}}{5}+\frac{484 x \ln \left(x \right)^{2}}{5}$&$64$\\ risch&$\frac{\left(36 x^{3}+264 x^{2}+484 x \right) \ln \left(x \right)^{2}}{5}+\frac{\left(-24 x^{3}-264 x^{2}-968 x \right) \ln \left(x \right)}{5}+\frac{312 x^{3}}{5}+748 x^{2}+\frac{7744 x}{5}+\frac{\left(-264 x^{3}-1848 x^{2}-2904 x \right) \ln \left(x \right)}{5}-\frac{36 x^{4}}{5}$&$76$\\ \hline \end{longtable}"," ",0,"7744/5*x+748*x^2+312/5*x^3-36/5*x^4-288/5*x^3*ln(x)-2112/5*x^2*ln(x)-3872/5*x*ln(x)+36/5*x^3*ln(x)^2+264/5*x^2*ln(x)^2+484/5*x*ln(x)^2","B"
3478,1,13,14,0.040000," ","int((-6*exp(4)*exp(9)^2+25*x*exp(4))/x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{22}-5 x \,{\mathrm e}^{4}}{x^{6}}$&$13$\\ gosper&$\frac{{\mathrm e}^{4} \left({\mathrm e}^{18}-5 x \right)}{x^{6}}$&$15$\\ default&${\mathrm e}^{4} \left(-\frac{5}{x^{5}}+\frac{{\mathrm e}^{18}}{x^{6}}\right)$&$16$\\ norman&$\frac{{\mathrm e}^{4} {\mathrm e}^{18}-5 x \,{\mathrm e}^{4}}{x^{6}}$&$18$\\ \hline \end{longtable}"," ",0,"(exp(22)-5*x*exp(4))/x^6","A"
3479,1,53,24,0.361000," ","int(((x+1)*ln(x^2*exp(x)^2/((4*x^2+8*x+4)*exp(3)^2+(-40*x^2-80*x-40)*exp(3)+100*x^2+200*x+100))+2*x^2+2*x+2)/(2*x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \ln \left(\frac{x^{2} {\mathrm e}^{2 x}}{\left(4 x^{2}+8 x +4\right) {\mathrm e}^{6}+\left(-40 x^{2}-80 x -40\right) {\mathrm e}^{3}+100 x^{2}+200 x +100}\right)}{2}$&$53$\\ default&$\frac{x^{2}}{2}+\ln \left(x +1\right)+\frac{625 x}{\left({\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25\right)^{2}}-\frac{25 x^{2}}{2 \left({\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25\right)}-\frac{625 \ln \left(x +1\right)}{\left({\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25\right)^{2}}-\frac{25 x}{{\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25}+\frac{x \ln \left(\frac{x^{2} {\mathrm e}^{2 x}}{\left(4 x^{2}+8 x +4\right) {\mathrm e}^{6}+\left(-40 x^{2}-80 x -40\right) {\mathrm e}^{3}+100 x^{2}+200 x +100}\right)}{2}+\frac{10 \,{\mathrm e}^{3} x}{{\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25}-\frac{{\mathrm e}^{6} x}{{\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25}+\frac{500 \,{\mathrm e}^{3} \ln \left(x +1\right)}{\left({\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25\right)^{2}}-\frac{150 \,{\mathrm e}^{6} \ln \left(x +1\right)}{\left({\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25\right)^{2}}+\frac{20 \,{\mathrm e}^{9} \ln \left(x +1\right)}{\left({\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25\right)^{2}}-\frac{{\mathrm e}^{12} \ln \left(x +1\right)}{\left({\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25\right)^{2}}+\frac{5 \,{\mathrm e}^{3} x^{2}}{{\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25}-\frac{{\mathrm e}^{6} x^{2}}{2 \left({\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25\right)}-\frac{500 \,{\mathrm e}^{3} x}{\left({\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25\right)^{2}}+\frac{150 \,{\mathrm e}^{6} x}{\left({\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25\right)^{2}}-\frac{20 \,{\mathrm e}^{9} x}{\left({\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25\right)^{2}}+\frac{{\mathrm e}^{12} x}{\left({\mathrm e}^{6}-10 \,{\mathrm e}^{3}+25\right)^{2}}$&$363$\\ risch&$-x \ln \left(2\right)+x \ln \left(x \right)-x \ln \left({\mathrm e}^{3}-5\right)+x \ln \left({\mathrm e}^{x}\right)-x \ln \left(x +1\right)+\frac{i x \pi  \,\mathrm{csgn}\left(\frac{i}{\left(x +1\right)^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{\left(x +1\right)^{2}}\right)^{2}}{4}+\frac{i x \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{\left(x +1\right)^{2}}\right)^{2}}{4}-\frac{i x \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{\left(x +1\right)^{2}}\right)^{3}}{4}+\frac{i x \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2} {\mathrm e}^{2 x}}{\left(x +1\right)^{2}}\right)^{2}}{4}+\frac{i x \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{\left(x +1\right)^{2}}\right) \mathrm{csgn}\left(\frac{i x^{2} {\mathrm e}^{2 x}}{\left(x +1\right)^{2}}\right)^{2}}{4}+\frac{i x \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}}{2}+\frac{i x \pi  \mathrm{csgn}\left(i \left(x +1\right)^{2}\right)^{3}}{4}-\frac{i x \pi  \mathrm{csgn}\left(\frac{i x^{2} {\mathrm e}^{2 x}}{\left(x +1\right)^{2}}\right)^{3}}{4}-\frac{i x \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)}{4}-\frac{i x \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}}{4}-\frac{i x \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{\left(x +1\right)^{2}}\right) \mathrm{csgn}\left(\frac{i x^{2} {\mathrm e}^{2 x}}{\left(x +1\right)^{2}}\right)}{4}-\frac{i x \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{4}-\frac{i x \pi  \,\mathrm{csgn}\left(\frac{i}{\left(x +1\right)^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{\left(x +1\right)^{2}}\right)}{4}-\frac{i x \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{4}-\frac{i x \pi  \,\mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(i \left(x +1\right)^{2}\right)^{2}}{2}+\frac{i x \pi  \mathrm{csgn}\left(i \left(x +1\right)\right)^{2} \mathrm{csgn}\left(i \left(x +1\right)^{2}\right)}{4}+\frac{i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{2}$&$444$\\ \hline \end{longtable}"," ",0,"1/2*x*ln(x^2*exp(x)^2/((4*x^2+8*x+4)*exp(3)^2+(-40*x^2-80*x-40)*exp(3)+100*x^2+200*x+100))","B"
3480,1,78,31,0.074000," ","int((((3+x)*ln(3/4+1/4*x)^2+(-3*x^3-9*x^2+2*x+6)*ln(3/4+1/4*x)-9*x^2+x+3)*ln(x)^2+(x^2+3*x)*ln(3/4+1/4*x)^2+(2*x^2+6*x)*ln(3/4+1/4*x)+x^2+3*x)/(((x^3+2*x^2-3*x)*ln(3/4+1/4*x)^2+(-3*x^4-7*x^3+4*x^2-6*x)*ln(3/4+1/4*x)-3*x^4-8*x^3+2*x^2-3*x)*ln(x)^2+((-x^3-3*x^2)*ln(3/4+1/4*x)^2+(-2*x^3-6*x^2)*ln(3/4+1/4*x)-x^3-3*x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\ln \left(x -1\right)-\ln \left(\ln \left(x \right)\right)+\ln \left(\ln \left(x \right)-\frac{x}{x -1}\right)+\ln \left(\ln \left(\frac{3}{4}+\frac{x}{4}\right)-\frac{3 x^{2} \ln \left(x \right)-x \ln \left(x \right)+x +\ln \left(x \right)}{x \ln \left(x \right)-x -\ln \left(x \right)}\right)-\ln \left(1+\ln \left(\frac{3}{4}+\frac{x}{4}\right)\right)$&$78$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(x-1)-ln(ln(x))+ln(ln(x)-x/(x-1))+ln(ln(3/4+1/4*x)-(3*x^2*ln(x)-x*ln(x)+x+ln(x))/(x*ln(x)-x-ln(x)))-ln(1+ln(3/4+1/4*x))","B"
3481,1,29,29,0.645000," ","int(((4*x-10)*exp(3)-8*x^2+30*x)*exp(-2/((9*x^2-45*x)*exp(3)^2+(-18*x^3+90*x^2)*exp(3)+9*x^4-45*x^3))/((9*x^4-90*x^3+225*x^2)*exp(3)^3+(-27*x^5+270*x^4-675*x^3)*exp(3)^2+(27*x^6-270*x^5+675*x^4)*exp(3)-9*x^7+90*x^6-225*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2}{9 x \left(x -5\right) \left(2 x \,{\mathrm e}^{3}-x^{2}-{\mathrm e}^{6}\right)}}$&$29$\\ gosper&${\mathrm e}^{-\frac{2}{9 x \left(x \,{\mathrm e}^{6}-2 x^{2} {\mathrm e}^{3}+x^{3}-5 \,{\mathrm e}^{6}+10 x \,{\mathrm e}^{3}-5 x^{2}\right)}}$&$42$\\ norman&$\frac{x^{4} {\mathrm e}^{-\frac{2}{\left(9 x^{2}-45 x \right) {\mathrm e}^{6}+\left(-18 x^{3}+90 x^{2}\right) {\mathrm e}^{3}+9 x^{4}-45 x^{3}}}+\left({\mathrm e}^{6}+10 \,{\mathrm e}^{3}\right) x^{2} {\mathrm e}^{-\frac{2}{\left(9 x^{2}-45 x \right) {\mathrm e}^{6}+\left(-18 x^{3}+90 x^{2}\right) {\mathrm e}^{3}+9 x^{4}-45 x^{3}}}+\left(-2 \,{\mathrm e}^{3}-5\right) x^{3} {\mathrm e}^{-\frac{2}{\left(9 x^{2}-45 x \right) {\mathrm e}^{6}+\left(-18 x^{3}+90 x^{2}\right) {\mathrm e}^{3}+9 x^{4}-45 x^{3}}}-5 x \,{\mathrm e}^{6} {\mathrm e}^{-\frac{2}{\left(9 x^{2}-45 x \right) {\mathrm e}^{6}+\left(-18 x^{3}+90 x^{2}\right) {\mathrm e}^{3}+9 x^{4}-45 x^{3}}}}{x \left(x -5\right) \left(-x +{\mathrm e}^{3}\right)^{2}}$&$229$\\ \hline \end{longtable}"," ",0,"exp(2/9/x/(x-5)/(2*x*exp(3)-x^2-exp(6)))","A"
3482,1,12,22,0.021000," ","int(1/5*(5*exp(1/5*x-1)+x-5)/exp(1/5*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -x \,{\mathrm e}^{1-\frac{x}{5}}$&$12$\\ norman&$\left(x \,{\mathrm e}^{\frac{x}{5}-1}-x \right) {\mathrm e}^{1-\frac{x}{5}}$&$22$\\ derivativedivides&$x -5-5 \,{\mathrm e}^{1-\frac{x}{5}} \left(\frac{x}{5}-1\right)-5 \,{\mathrm e}^{1-\frac{x}{5}}$&$29$\\ default&$x -5-5 \,{\mathrm e}^{1-\frac{x}{5}} \left(\frac{x}{5}-1\right)-5 \,{\mathrm e}^{1-\frac{x}{5}}$&$29$\\ \hline \end{longtable}"," ",0,"x-x*exp(1-1/5*x)","A"
3483,1,24,21,0.038000," ","int(((4*x-2)*exp(5)+24*x^2-16*x)/((x^2-x)*exp(5)+4*x^3-4*x^2-36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(-36+4 x^{3}+\left({\mathrm e}^{5}-4\right) x^{2}-x \,{\mathrm e}^{5}\right)$&$24$\\ default&$2 \ln \left(x^{2} {\mathrm e}^{5}+4 x^{3}-x \,{\mathrm e}^{5}-4 x^{2}-36\right)$&$27$\\ norman&$2 \ln \left(x^{2} {\mathrm e}^{5}+4 x^{3}-x \,{\mathrm e}^{5}-4 x^{2}-36\right)$&$27$\\ \hline \end{longtable}"," ",0,"2*ln(-36+4*x^3+(exp(5)-4)*x^2-x*exp(5))","A"
3484,1,26,28,0.059000," ","int(((exp(x)*x^3-4*x^3+x^2)*exp(4*x+2)-x^2*ln(2)*exp(x)-2*x*ln(2))/(2*x^2*exp(4*x+2)^2-4*x*ln(2)*exp(4*x+2)+2*ln(2)^2)/exp(-exp(x)+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{{\mathrm e}^{x}-3}}{2 x \,{\mathrm e}^{4 x +2}-2 \ln \left(2\right)}$&$26$\\ \hline \end{longtable}"," ",0,"1/2*x^2/(x*exp(4*x+2)-ln(2))*exp(exp(x)-3)","A"
3485,1,59,29,0.395000," ","int(((72*x*ln(2)*exp(1/3*x/ln(2))+12*x)*ln(x)^2+(576*x*ln(2)*exp(1/3*x/ln(2))+96*x)*ln(x)+3*(384*x+8)*ln(2)*exp(1/3*x/ln(2))+192*x)/((18*x^2*ln(2)*exp(1/3*x/ln(2))-9*x*ln(2))*ln(x)^2+(3*(48*x^2-2*x)*ln(2)*exp(1/3*x/ln(2))-72*x*ln(2))*ln(x)+3*(96*x^2-8*x)*ln(2)*exp(1/3*x/ln(2))-144*x*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4 x}{3 \ln \left(2\right)}-4 \ln \left(\ln \left(x \right)+4\right)+4 \ln \left(6 \ln \left(x \right) {\mathrm e}^{\frac{x}{3 \ln \left(2\right)}} x +24 x \,{\mathrm e}^{\frac{x}{3 \ln \left(2\right)}}-2 \,{\mathrm e}^{\frac{x}{3 \ln \left(2\right)}}-3 \ln \left(x \right)-12\right)$&$59$\\ risch&$4 \ln \left(x \right)+4 \ln \left({\mathrm e}^{\frac{x}{3 \ln \left(2\right)}}-\frac{1}{2 x}\right)-\frac{4 x}{3 \ln \left(2\right)}+4 \ln \left(\ln \left(x \right)+\frac{8 x \,{\mathrm e}^{\frac{x}{3 \ln \left(2\right)}}-\frac{2 \,{\mathrm e}^{\frac{x}{3 \ln \left(2\right)}}}{3}-4}{2 x \,{\mathrm e}^{\frac{x}{3 \ln \left(2\right)}}-1}\right)-4 \ln \left(\ln \left(x \right)+4\right)$&$83$\\ \hline \end{longtable}"," ",0,"-4/3*x/ln(2)-4*ln(ln(x)+4)+4*ln(6*ln(x)*exp(1/3*x/ln(2))*x+24*x*exp(1/3*x/ln(2))-2*exp(1/3*x/ln(2))-3*ln(x)-12)","A"
3486,1,19,20,0.053000," ","int(1/2*(4*x*ln(x)+2*x^2+27*x+2)*exp(x*ln(x)+1/4*x^2+23/4*x)^2+25,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x +x^{2 x} {\mathrm e}^{\frac{x \left(x +23\right)}{2}} x$&$19$\\ default&$25 x +{\mathrm e}^{2 x \ln \left(x \right)+\frac{x^{2}}{2}+\frac{23 x}{2}} x$&$23$\\ norman&$25 x +{\mathrm e}^{2 x \ln \left(x \right)+\frac{x^{2}}{2}+\frac{23 x}{2}} x$&$23$\\ \hline \end{longtable}"," ",0,"25*x+(x^x)^2*exp(1/2*x*(x+23))*x","A"
3487,1,17,18,0.119000," ","int((-16*x^6+76*x^5-150*x^4)*exp((-2*x^6+10*x^5)/(256*x^4-768*x^3+864*x^2-432*x+81))/(1024*x^5-3840*x^4+5760*x^3-4320*x^2+1620*x-243),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 x^{5} \left(x -5\right)}{\left(4 x -3\right)^{4}}}$&$17$\\ gosper&${\mathrm e}^{-\frac{2 x^{5} \left(x -5\right)}{256 x^{4}-768 x^{3}+864 x^{2}-432 x +81}}$&$32$\\ norman&$\frac{-432 x \,{\mathrm e}^{\frac{-2 x^{6}+10 x^{5}}{256 x^{4}-768 x^{3}+864 x^{2}-432 x +81}}+864 x^{2} {\mathrm e}^{\frac{-2 x^{6}+10 x^{5}}{256 x^{4}-768 x^{3}+864 x^{2}-432 x +81}}-768 x^{3} {\mathrm e}^{\frac{-2 x^{6}+10 x^{5}}{256 x^{4}-768 x^{3}+864 x^{2}-432 x +81}}+256 x^{4} {\mathrm e}^{\frac{-2 x^{6}+10 x^{5}}{256 x^{4}-768 x^{3}+864 x^{2}-432 x +81}}+81 \,{\mathrm e}^{\frac{-2 x^{6}+10 x^{5}}{256 x^{4}-768 x^{3}+864 x^{2}-432 x +81}}}{\left(4 x -3\right)^{4}}$&$205$\\ \hline \end{longtable}"," ",0,"exp(-2*x^5*(x-5)/(4*x-3)^4)","A"
3488,1,12,11,0.021000," ","int((144*x^2-2)/(48*x^3-2*x+33),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(48 x^{3}-2 x +33\right)$&$12$\\ default&$\ln \left(48 x^{3}-2 x +33\right)$&$12$\\ norman&$\ln \left(48 x^{3}-2 x +33\right)$&$12$\\ risch&$\ln \left(48 x^{3}-2 x +33\right)$&$12$\\ \hline \end{longtable}"," ",0,"ln(48*x^3-2*x+33)","A"
3489,1,23,18,0.029000," ","int(1/27*((16*x-32)*exp(x)*ln(x)^2+32*exp(x)*ln(x))*exp(1/9*(200*exp(x)*ln(x)^2+9*x^2)/x^2)^2/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{\frac{400 \,{\mathrm e}^{x} \ln \left(x \right)^{2}}{9}+2 x^{2}}{x^{2}}}}{75}$&$23$\\ \hline \end{longtable}"," ",0,"1/75*exp(2/9*(200*exp(x)*ln(x)^2+9*x^2)/x^2)","A"
3490,1,24,20,0.109000," ","int((4*x^3+72*x)/(15*x^4*ln(3)*ln(2/x)^2+270*x^2*ln(3)*ln(2/x)+1215*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 x^{2}}{15 \ln \left(3\right) \left(x^{2} \ln \left(\frac{2}{x}\right)+9\right)}$&$24$\\ risch&$\frac{4 x^{2}}{15 \ln \left(3\right) \left(x^{2} \ln \left(\frac{2}{x}\right)+9\right)}$&$24$\\ \hline \end{longtable}"," ",0,"4/15*x^2/ln(3)/(x^2*ln(2/x)+9)","A"
3491,1,30,25,0.053000," ","int(((6-2*x)*ln(x)^3+(5*x-3)*ln(x)^2+(-4*x-27)*ln(x)+x+9)/((x^2-6*x)*ln(x)^3+(-2*x^2-3*x)*ln(x)^2+(x^2+9*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)-\ln \left(x \ln \left(x \right)-x -6 \ln \left(x \right)-9\right)+\ln \left(\ln \left(x \right)\right)+\ln \left(\ln \left(x \right)-1\right)$&$30$\\ risch&$-\ln \left(x^{2}-6 x \right)+\ln \left(\ln \left(x \right)^{2}-\ln \left(x \right)\right)-\ln \left(\ln \left(x \right)-\frac{x +9}{x -6}\right)$&$38$\\ \hline \end{longtable}"," ",0,"-ln(x)-ln(x*ln(x)-x-6*ln(x)-9)+ln(ln(x))+ln(ln(x)-1)","A"
3492,1,66,21,0.183000," ","int((((100*x^3-555*x^2+936*x-432)*exp(15/(5*x-12))+2000*x^4-12600*x^3+27045*x^2-22680*x+6480)*ln((exp(15/(5*x-12))+20*x-15)/(4*x-3))+(-100*x^3+180*x^2-351*x)*exp(15/(5*x-12)))/((100*x^3-555*x^2+936*x-432)*exp(15/(5*x-12))+2000*x^4-12600*x^3+27045*x^2-22680*x+6480),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-12 \ln \left(\frac{{\mathrm e}^{\frac{15}{5 x -12}}+20 x -15}{4 x -3}\right) x +5 \ln \left(\frac{{\mathrm e}^{\frac{15}{5 x -12}}+20 x -15}{4 x -3}\right) x^{2}}{5 x -12}$&$66$\\ risch&$x \ln \left(\frac{{\mathrm e}^{\frac{15}{5 x -12}}}{20}+x -\frac{3}{4}\right)-x \ln \left(x -\frac{3}{4}\right)-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x -\frac{3}{4}}\right) \mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{\frac{15}{5 x -12}}}{20}+x -\frac{3}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{\frac{15}{5 x -12}}}{20}+x -\frac{3}{4}\right)}{x -\frac{3}{4}}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x -\frac{3}{4}}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{\frac{15}{5 x -12}}}{20}+x -\frac{3}{4}\right)}{x -\frac{3}{4}}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{\frac{15}{5 x -12}}}{20}+x -\frac{3}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{\frac{15}{5 x -12}}}{20}+x -\frac{3}{4}\right)}{x -\frac{3}{4}}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{\frac{15}{5 x -12}}}{20}+x -\frac{3}{4}\right)}{x -\frac{3}{4}}\right)^{3}}{2}+x \ln \left(5\right)$&$209$\\ \hline \end{longtable}"," ",0,"(-12*ln((exp(15/(5*x-12))+20*x-15)/(4*x-3))*x+5*ln((exp(15/(5*x-12))+20*x-15)/(4*x-3))*x^2)/(5*x-12)","B"
3493,1,74,21,0.066000," ","int(((-100*x-8)*ln(25*x^2+2*x)^4+(-300*x^2+176*x+8)*ln(25*x^2+2*x)^3+(-300*x^3+576*x^2+24*x)*ln(25*x^2+2*x)^2+(-100*x^4+592*x^3+24*x^2)*ln(25*x^2+2*x)+200*x^4+8*x^3)*exp(1/9*(9*ln(25*x^2+2*x)^4+36*x*ln(25*x^2+2*x)^3+54*x^2*ln(25*x^2+2*x)^2+36*x^3*ln(25*x^2+2*x)+20*x^4)/x^4)/(25*x^6+2*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{9 \ln \left(25 x^{2}+2 x \right)^{4}+36 x \ln \left(25 x^{2}+2 x \right)^{3}+54 x^{2} \ln \left(25 x^{2}+2 x \right)^{2}+36 x^{3} \ln \left(25 x^{2}+2 x \right)+20 x^{4}}{9 x^{4}}}$&$74$\\ \hline \end{longtable}"," ",0,"exp(1/9*(9*ln(25*x^2+2*x)^4+36*x*ln(25*x^2+2*x)^3+54*x^2*ln(25*x^2+2*x)^2+36*x^3*ln(25*x^2+2*x)+20*x^4)/x^4)","B"
3494,1,124,32,0.054000," ","int(((x^8-6*x^7-6*x^6+30*x^5)*ln(x)^2+((x^8-8*x^7+21*x^6-18*x^5)*exp(x)-10*x^7+60*x^6-98*x^5+48*x^4-72*x^3)*ln(x)+(-x^7+6*x^6-9*x^5)*exp(x)-5*x^7+30*x^6-47*x^5+12*x^4-18*x^3)/((x^8-6*x^7-x^6+30*x^5+25*x^4)*ln(x)^2+((-2*x^7+12*x^6-8*x^5-30*x^4)*exp(x)-10*x^7+60*x^6-44*x^5-126*x^4-16*x^3-60*x^2)*ln(x)+(x^6-6*x^5+9*x^4)*exp(x)^2+(10*x^6-60*x^5+94*x^4-24*x^3+36*x^2)*exp(x)+25*x^6-150*x^5+245*x^4-120*x^3+184*x^2-24*x+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} \left(x -3\right)}{x^{2}-3 x -5}+\frac{x^{2} \left({\mathrm e}^{x} x^{4}+5 x^{4}-6 \,{\mathrm e}^{x} x^{3}-30 x^{3}+9 \,{\mathrm e}^{x} x^{2}+47 x^{2}-12 x +18\right)}{\left(x^{2}-3 x -5\right) \left(x^{4} \ln \left(x \right)-3 x^{3} \ln \left(x \right)-{\mathrm e}^{x} x^{3}-5 x^{2} \ln \left(x \right)+3 \,{\mathrm e}^{x} x^{2}-5 x^{3}+15 x^{2}-2 x +6\right)}$&$124$\\ \hline \end{longtable}"," ",0,"x^2*(x-3)/(x^2-3*x-5)+x^2*(exp(x)*x^4+5*x^4-6*exp(x)*x^3-30*x^3+9*exp(x)*x^2+47*x^2-12*x+18)/(x^2-3*x-5)/(x^4*ln(x)-3*x^3*ln(x)-exp(x)*x^3-5*x^2*ln(x)+3*exp(x)*x^2-5*x^3+15*x^2-2*x+6)","B"
3495,1,34,18,0.021000," ","int((-2*exp(x)^2*x^2+(-2*x^4-4*x^3-10*x^2)*exp(x)-4*x^5-20*x^3+x^2-5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-10 x^{2}+x +\frac{5}{x}-x^{4}-{\mathrm e}^{2 x}+\left(-2 x^{2}-10\right) {\mathrm e}^{x}$&$34$\\ default&$-10 x^{2}+x +\frac{5}{x}-x^{4}-{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} x^{2}-10 \,{\mathrm e}^{x}$&$35$\\ norman&$\frac{5+x^{2}-10 x^{3}-x^{5}-x \,{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x} x -2 \,{\mathrm e}^{x} x^{3}}{x}$&$39$\\ \hline \end{longtable}"," ",0,"-10*x^2+x+5/x-x^4-exp(2*x)+(-2*x^2-10)*exp(x)","A"
3496,1,23,23,0.026000," ","int(1/3*((-2*x^3-50*x^2)*ln(x)+3*x^4+74*x^3-26*x^2-23*x+25)/exp(x^2*ln(x)-x^3+x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(x +25\right) x^{-x^{2}} {\mathrm e}^{x^{3}-x -3}}{3}$&$23$\\ norman&$\left(\frac{25}{3} x +\frac{1}{3} x^{2}\right) {\mathrm e}^{-x^{2} \ln \left(x \right)+x^{3}-x -3}$&$28$\\ \hline \end{longtable}"," ",0,"1/3*x*(x+25)/(x^(x^2))*exp(x^3-x-3)","A"
3497,1,17,18,0.037000," ","int((-3*ln(2)-12)*exp(-x+4)/exp((4+ln(2))*exp(-x+4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-3 \,{\mathrm e}^{-\left(4+\ln \left(2\right)\right) {\mathrm e}^{-x +4}}$&$17$\\ default&$\frac{\left(-3 \ln \left(2\right)-12\right) {\mathrm e}^{-\left(4+\ln \left(2\right)\right) {\mathrm e}^{-x +4}}}{4+\ln \left(2\right)}$&$28$\\ derivativedivides&$-\frac{\left(12+3 \ln \left(2\right)\right) {\mathrm e}^{-\left(4+\ln \left(2\right)\right) {\mathrm e}^{-x +4}}}{4+\ln \left(2\right)}$&$29$\\ risch&$-\frac{3 \,{\mathrm e}^{-\left(4+\ln \left(2\right)\right) {\mathrm e}^{-x +4}} \ln \left(2\right)}{4+\ln \left(2\right)}-\frac{12 \,{\mathrm e}^{-\left(4+\ln \left(2\right)\right) {\mathrm e}^{-x +4}}}{4+\ln \left(2\right)}$&$46$\\ \hline \end{longtable}"," ",0,"-3/exp((4+ln(2))*exp(-x+4))","A"
3498,0,0,22,0.043000," ","int((((8*exp(x)*x^3-8*x^3+1)*exp(1/16*(16*x^3+1)/x^2)-8*exp(x)*x^4+8*x^3)*exp(exp(x))+8*x^3*exp(1/16*(16*x^3+1)/x^2)^2-16*x^4*exp(1/16*(16*x^3+1)/x^2)+8*x^5)/(8*x^3*exp(1/16*(16*x^3+1)/x^2)^2-16*x^4*exp(1/16*(16*x^3+1)/x^2)+8*x^5),x)","\[\int \frac{\left(\left(8 \,{\mathrm e}^{x} x^{3}-8 x^{3}+1\right) {\mathrm e}^{\frac{16 x^{3}+1}{16 x^{2}}}-8 \,{\mathrm e}^{x} x^{4}+8 x^{3}\right) {\mathrm e}^{{\mathrm e}^{x}}+8 x^{3} {\mathrm e}^{\frac{16 x^{3}+1}{8 x^{2}}}-16 x^{4} {\mathrm e}^{\frac{16 x^{3}+1}{16 x^{2}}}+8 x^{5}}{8 x^{3} {\mathrm e}^{\frac{16 x^{3}+1}{8 x^{2}}}-16 x^{4} {\mathrm e}^{\frac{16 x^{3}+1}{16 x^{2}}}+8 x^{5}}\, dx\]"," ",0,"int((((8*exp(x)*x^3-8*x^3+1)*exp(1/16*(16*x^3+1)/x^2)-8*exp(x)*x^4+8*x^3)*exp(exp(x))+8*x^3*exp(1/16*(16*x^3+1)/x^2)^2-16*x^4*exp(1/16*(16*x^3+1)/x^2)+8*x^5)/(8*x^3*exp(1/16*(16*x^3+1)/x^2)^2-16*x^4*exp(1/16*(16*x^3+1)/x^2)+8*x^5),x)","F"
3499,1,18,17,0.030000," ","int((((-18*x-9)*exp(x)+27*x)*ln(2*x)+9*exp(x)-9*x)/(2*x^2*exp(x)^3-6*exp(x)^2*x^3+6*exp(x)*x^4-2*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 \ln \left(2 x \right)}{2 x \left(x -{\mathrm e}^{x}\right)^{2}}$&$18$\\ \hline \end{longtable}"," ",0,"9/2*ln(2*x)/x/(x-exp(x))^2","A"
3500,1,23,28,0.038000," ","int(((-(5*x^2-20*x-25)*exp(ln(2)+x-exp(3))*ln(x-5)-(5*x^3-50*x^2+90*x+145)*exp(ln(2)+x-exp(3)))*ln(x+1)-(5*x-25)*exp(ln(2)+x-exp(3))*ln(x-5)-(5*x^2-50*x+125)*exp(ln(2)+x-exp(3)))/((x^2-4*x-5)*ln(x-5)^2+(2*x^3-18*x^2+30*x+50)*ln(x-5)+x^4-14*x^3+60*x^2-50*x-125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{10 \,{\mathrm e}^{x -{\mathrm e}^{3}} \ln \left(x +1\right)}{-5+x +\ln \left(x -5\right)}$&$23$\\ \hline \end{longtable}"," ",0,"-10*exp(x-exp(3))/(-5+x+ln(x-5))*ln(x+1)","A"
3501,1,11,12,0.028000," ","int(-72*x/exp(9*x^2-135),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{-9 x^{2}+135}$&$11$\\ gosper&$4 \,{\mathrm e}^{-9 x^{2}+135}$&$13$\\ derivativedivides&$4 \,{\mathrm e}^{-9 x^{2}+135}$&$13$\\ default&$4 \,{\mathrm e}^{-9 x^{2}+135}$&$13$\\ norman&$4 \,{\mathrm e}^{-9 x^{2}+135}$&$13$\\ meijerg&$-4 \,{\mathrm e}^{-9 x^{2}+9 x^{2} {\mathrm e}^{135}} \left(1-{\mathrm e}^{-9 x^{2} {\mathrm e}^{135}}\right)$&$29$\\ \hline \end{longtable}"," ",0,"4*exp(-9*x^2+135)","A"
3502,1,18,28,0.069000," ","int(((x^2+x)*ln((4*x+4)/x^2)-x^3-2*x^2-2*x-2)/((x^2+x)*ln((4*x+4)/x^2)-x^3-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\ln \left(x -\ln \left(\frac{4 x +4}{x^{2}}\right)\right)$&$18$\\ risch&$x +\ln \left(-x +\ln \left(\frac{4 x +4}{x^{2}}\right)\right)$&$18$\\ \hline \end{longtable}"," ",0,"x+ln(x-ln((4*x+4)/x^2))","A"
3503,1,8,12,0.007000," ","int((-x^2-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{1}{x}-x$&$8$\\ risch&$\frac{1}{x}-x$&$8$\\ gosper&$-\frac{x^{2}-1}{x}$&$11$\\ \hline \end{longtable}"," ",0,"1/x-x","A"
3504,1,18,22,0.069000," ","int((36*x*exp(3)*exp(9*x^2)^2*exp(exp(9*x^2)^2)-exp(x)*exp(3)-4)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x \,{\mathrm e}^{-3}-{\mathrm e}^{x}+{\mathrm e}^{{\mathrm e}^{18 x^{2}}}$&$18$\\ norman&$-4 x \,{\mathrm e}^{-3}-{\mathrm e}^{x}+{\mathrm e}^{{\mathrm e}^{18 x^{2}}}$&$22$\\ default&${\mathrm e}^{-3} \left(-4 x -{\mathrm e}^{x} {\mathrm e}^{3}+{\mathrm e}^{3} {\mathrm e}^{{\mathrm e}^{18 x^{2}}}\right)$&$28$\\ \hline \end{longtable}"," ",0,"-4*x*exp(-3)-exp(x)+exp(exp(18*x^2))","A"
3505,1,15,14,0.349000," ","int((4*x*ln(1/10*exp(x))^3+x-1)*exp(ln(1/10*exp(x))^4+x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{\ln \left(\frac{{\mathrm e}^{x}}{10}\right)^{4}+x}}{x}$&$15$\\ risch&$\frac{625^{\ln \left(2\right)^{3}} \left({\mathrm e}^{x}\right)^{-4 \ln \left(2\right)^{3}} \left({\mathrm e}^{x}\right)^{-12 \ln \left(2\right)^{2} \ln \left(5\right)} 16^{\ln \left(5\right)^{3}} \left({\mathrm e}^{x}\right)^{-12 \ln \left(5\right)^{2} \ln \left(2\right)} 4096^{\ln \left(5\right) \ln \left({\mathrm e}^{x}\right)^{2}} \left(\frac{1}{16}\right)^{\ln \left({\mathrm e}^{x}\right)^{3}} \left({\mathrm e}^{x}\right)^{-4 \ln \left(5\right)^{3}} \left(\frac{1}{625}\right)^{\ln \left({\mathrm e}^{x}\right)^{3}} {\mathrm e}^{\ln \left(2\right)^{4}+6 \ln \left(2\right)^{2} \ln \left(5\right)^{2}+6 \ln \left(2\right)^{2} \ln \left({\mathrm e}^{x}\right)^{2}+\ln \left(5\right)^{4}+6 \ln \left(5\right)^{2} \ln \left({\mathrm e}^{x}\right)^{2}+\ln \left({\mathrm e}^{x}\right)^{4}+x}}{x}$&$129$\\ \hline \end{longtable}"," ",0,"exp(ln(1/10*exp(x))^4+x)/x","A"
3506,1,19,21,0.010000," ","int(-84*x^3+126*x^2-42*x-60,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-3 x \left(7 x^{3}-14 x^{2}+7 x +20\right)$&$19$\\ default&$-21 x^{4}+42 x^{3}-21 x^{2}-60 x$&$20$\\ norman&$-21 x^{4}+42 x^{3}-21 x^{2}-60 x$&$20$\\ risch&$-21 x^{4}+42 x^{3}-21 x^{2}-60 x$&$20$\\ \hline \end{longtable}"," ",0,"-3*x*(7*x^3-14*x^2+7*x+20)","A"
3507,1,34,24,0.211000," ","int((-5*exp(x)*exp(exp(4))^2+20*exp(x)^2*exp(exp(4))-20*exp(x)^3+2*ln(4/3)*exp(x))/(5*exp(exp(4))^2-20*exp(x)*exp(exp(4))+20*exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \,{\mathrm e}^{2 x}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{4}}}{2}+\frac{2 \ln \left(2\right)}{5}-\frac{\ln \left(3\right)}{5}}{{\mathrm e}^{{\mathrm e}^{4}}-2 \,{\mathrm e}^{x}}$&$34$\\ risch&$-{\mathrm e}^{x}+\frac{2 \ln \left(2\right)}{5 \left({\mathrm e}^{{\mathrm e}^{4}}-2 \,{\mathrm e}^{x}\right)}-\frac{\ln \left(3\right)}{5 \left({\mathrm e}^{{\mathrm e}^{4}}-2 \,{\mathrm e}^{x}\right)}$&$34$\\ default&$\frac{10 \,{\mathrm e}^{2 x}-5 \,{\mathrm e}^{2 \,{\mathrm e}^{4}}}{5 \,{\mathrm e}^{{\mathrm e}^{4}}-10 \,{\mathrm e}^{x}}+\frac{{\mathrm e}^{2 \,{\mathrm e}^{4}}}{2 \,{\mathrm e}^{{\mathrm e}^{4}}-4 \,{\mathrm e}^{x}}+\frac{2 \ln \left(2\right)}{5 \left({\mathrm e}^{{\mathrm e}^{4}}-2 \,{\mathrm e}^{x}\right)}-\frac{\ln \left(3\right)}{5 \left({\mathrm e}^{{\mathrm e}^{4}}-2 \,{\mathrm e}^{x}\right)}$&$73$\\ \hline \end{longtable}"," ",0,"(2*exp(x)^2-1/2*exp(exp(4))^2+2/5*ln(2)-1/5*ln(3))/(exp(exp(4))-2*exp(x))","A"
3508,1,19,20,0.039000," ","int((x^2*exp(exp((exp(4)-60)/exp(4)))+exp(x)*x^2+2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{1-60 \,{\mathrm e}^{-4}}} x -\frac{2}{x}+{\mathrm e}^{x}$&$19$\\ default&$-\frac{2}{x}+{\mathrm e}^{x}+{\mathrm e}^{{\mathrm e} \,{\mathrm e}^{-60 \,{\mathrm e}^{-4}}} x$&$22$\\ norman&$\frac{-2+x^{2} {\mathrm e}^{{\mathrm e} \,{\mathrm e}^{-60 \,{\mathrm e}^{-4}}}+{\mathrm e}^{x} x}{x}$&$26$\\ \hline \end{longtable}"," ",0,"exp(exp(1-60*exp(-4)))*x-2/x+exp(x)","A"
3509,1,185,22,0.076000," ","int(1/4096*(-12*x-3)*exp(x)^4+1/4096*((-144*x-48)*ln(2)+36*x^2+24*x)*exp(x)^3+1/4096*((-576*x-288)*ln(2)^2+(288*x^2+288*x)*ln(2)-36*x^3+138*x^2+672*x+240)*exp(x)^2+1/4096*((-768*x-768)*ln(2)^3+(576*x^2+1152*x)*ln(2)^2+(-144*x^3+336*x^2+3456*x+1920)*ln(2)+12*x^4-144*x^3-1056*x^2-960*x)*exp(x)-3/16*ln(2)^4+3/8*x*ln(2)^3+1/4096*(-864*x^2+3072*x+3840)*ln(2)^2+1/4096*(192*x^3-2304*x^2-3840*x)*ln(2)-15/4096*x^4+3/32*x^3-99/256*x^2-15/8*x-75/64,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{3}{128}+\frac{3 \ln \left(2\right)}{256}\right) x^{4}+\left(-\frac{9 \ln \left(2\right)^{2}}{128}-\frac{3 \ln \left(2\right)}{16}-\frac{33}{256}\right) x^{3}+\left(-\frac{3 \ln \left(2\right)^{4}}{16}+\frac{15 \ln \left(2\right)^{2}}{16}-\frac{75}{64}\right) x +\left(\frac{3 \ln \left(2\right)^{3}}{16}+\frac{3 \ln \left(2\right)^{2}}{8}-\frac{15 \ln \left(2\right)}{32}-\frac{15}{16}\right) x^{2}+\left(-\frac{3}{64}-\frac{9 \ln \left(2\right)}{256}\right) x^{3} {\mathrm e}^{x}+\left(\frac{3}{128}+\frac{9 \ln \left(2\right)}{256}\right) x^{2} {\mathrm e}^{2 x}+\left(\frac{15}{256}-\frac{9 \ln \left(2\right)^{2}}{128}\right) x \,{\mathrm e}^{2 x}+\left(-\frac{3 \ln \left(2\right)^{3}}{16}+\frac{15 \ln \left(2\right)}{32}\right) x \,{\mathrm e}^{x}+\left(-\frac{15}{128}+\frac{3 \ln \left(2\right)}{16}+\frac{9 \ln \left(2\right)^{2}}{64}\right) x^{2} {\mathrm e}^{x}-\frac{3 x^{5}}{4096}-\frac{3 x \,{\mathrm e}^{4 x}}{4096}+\frac{3 x^{2} {\mathrm e}^{3 x}}{1024}+\frac{3 \,{\mathrm e}^{x} x^{4}}{1024}-\frac{9 \,{\mathrm e}^{2 x} x^{3}}{2048}-\frac{3 x \ln \left(2\right) {\mathrm e}^{3 x}}{256}$&$185$\\ risch&$-\frac{3 x \,{\mathrm e}^{4 x}}{4096}+\frac{\left(-48 x \ln \left(2\right)+12 x^{2}\right) {\mathrm e}^{3 x}}{4096}+\frac{\left(-288 x \ln \left(2\right)^{2}+144 x^{2} \ln \left(2\right)-18 x^{3}+96 x^{2}+240 x \right) {\mathrm e}^{2 x}}{4096}+\frac{\left(-768 x \ln \left(2\right)^{3}+576 x^{2} \ln \left(2\right)^{2}-144 x^{3} \ln \left(2\right)+12 x^{4}+768 x^{2} \ln \left(2\right)-192 x^{3}+1920 x \ln \left(2\right)-480 x^{2}\right) {\mathrm e}^{x}}{4096}-\frac{3 x \ln \left(2\right)^{4}}{16}+\frac{3 x^{2} \ln \left(2\right)^{3}}{16}-\frac{9 x^{3} \ln \left(2\right)^{2}}{128}+\frac{3 x^{2} \ln \left(2\right)^{2}}{8}+\frac{15 x \ln \left(2\right)^{2}}{16}+\frac{3 x^{4} \ln \left(2\right)}{256}-\frac{3 x^{3} \ln \left(2\right)}{16}-\frac{15 x^{2} \ln \left(2\right)}{32}-\frac{3 x^{5}}{4096}+\frac{3 x^{4}}{128}-\frac{33 x^{3}}{256}-\frac{15 x^{2}}{16}-\frac{75 x}{64}$&$200$\\ default&$-\frac{75 x}{64}-\frac{9 x^{3} \ln \left(2\right) {\mathrm e}^{x}}{256}-\frac{9 x \ln \left(2\right)^{2} {\mathrm e}^{2 x}}{128}+\frac{3 x^{2} \ln \left(2\right) {\mathrm e}^{x}}{16}-\frac{3 x^{5}}{4096}+\frac{3 x^{4}}{128}-\frac{33 x^{3}}{256}-\frac{15 x^{2}}{16}+\frac{3 x^{2} {\mathrm e}^{3 x}}{1024}-\frac{9 \,{\mathrm e}^{2 x} x^{3}}{2048}+\frac{3 x^{2} \ln \left(2\right)^{3}}{16}-\frac{3 x \ln \left(2\right)^{4}}{16}-\frac{9 x^{3} \ln \left(2\right)^{2}}{128}+\frac{15 x \ln \left(2\right)^{2}}{16}+\frac{3 \,{\mathrm e}^{2 x} x^{2}}{128}+\frac{15 x \,{\mathrm e}^{2 x}}{256}+\frac{3 x^{4} \ln \left(2\right)}{256}+\frac{3 x^{2} \ln \left(2\right)^{2}}{8}+\frac{3 \,{\mathrm e}^{x} x^{4}}{1024}-\frac{15 x^{2} \ln \left(2\right)}{32}-\frac{3 x^{3} \ln \left(2\right)}{16}-\frac{15 \,{\mathrm e}^{x} x^{2}}{128}-\frac{3 \,{\mathrm e}^{x} x^{3}}{64}-\frac{3 x \,{\mathrm e}^{4 x}}{4096}+\frac{15 x \ln \left(2\right) {\mathrm e}^{x}}{32}-\frac{3 \,{\mathrm e}^{x} \ln \left(2\right)^{3} x}{16}+\frac{9 x^{2} \ln \left(2\right) {\mathrm e}^{2 x}}{256}+\frac{9 \,{\mathrm e}^{x} \ln \left(2\right)^{2} x^{2}}{64}-\frac{3 x \ln \left(2\right) {\mathrm e}^{3 x}}{256}$&$225$\\ \hline \end{longtable}"," ",0,"(3/128+3/256*ln(2))*x^4+(-9/128*ln(2)^2-3/16*ln(2)-33/256)*x^3+(-3/16*ln(2)^4+15/16*ln(2)^2-75/64)*x+(3/16*ln(2)^3+3/8*ln(2)^2-15/32*ln(2)-15/16)*x^2+(-3/64-9/256*ln(2))*x^3*exp(x)+(3/128+9/256*ln(2))*x^2*exp(x)^2+(15/256-9/128*ln(2)^2)*x*exp(x)^2+(-3/16*ln(2)^3+15/32*ln(2))*x*exp(x)+(-15/128+3/16*ln(2)+9/64*ln(2)^2)*x^2*exp(x)-3/4096*x^5-3/4096*x*exp(x)^4+3/1024*x^2*exp(x)^3+3/1024*exp(x)*x^4-9/2048*exp(x)^2*x^3-3/256*x*ln(2)*exp(x)^3","B"
3510,1,17,16,0.039000," ","int(exp(x)+1/5*(-2*x-10)*exp(-exp(5)+1/5*x-11),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x}-2 \,{\mathrm e}^{-{\mathrm e}^{5}+\frac{x}{5}-11} x$&$17$\\ norman&${\mathrm e}^{x}-2 \,{\mathrm e}^{-{\mathrm e}^{5}} {\mathrm e}^{-11} x \,{\mathrm e}^{\frac{x}{5}}$&$22$\\ meijerg&$-1+{\mathrm e}^{x}+10 \,{\mathrm e}^{-{\mathrm e}^{5}-11} \left(1-{\mathrm e}^{\frac{x}{5}}\right)-10 \,{\mathrm e}^{-{\mathrm e}^{5}-11} \left(1-\frac{\left(-\frac{2 x}{5}+2\right) {\mathrm e}^{\frac{x}{5}}}{2}\right)$&$44$\\ default&$-10 \left(-{\mathrm e}^{5}+\frac{x}{5}-11\right) {\mathrm e}^{-{\mathrm e}^{5}+\frac{x}{5}-11}-110 \,{\mathrm e}^{-{\mathrm e}^{5}+\frac{x}{5}-11}-10 \,{\mathrm e}^{-{\mathrm e}^{5}+\frac{x}{5}-11} {\mathrm e}^{5}+{\mathrm e}^{x}$&$51$\\ \hline \end{longtable}"," ",0,"exp(x)-2*exp(-exp(5)+1/5*x-11)*x","A"
3511,1,26,21,0.183000," ","int(((9*x^2+54*x+81)*exp(x)+2*x^3+9*x^2)*exp(x^3/(9*x+27))*exp(exp(x)-2)/(9*x^2+54*x+81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{3}+9 \,{\mathrm e}^{x} x +27 \,{\mathrm e}^{x}-18 x -54}{9 x +27}}$&$26$\\ \hline \end{longtable}"," ",0,"exp(1/9*(x^3+9*exp(x)*x+27*exp(x)-18*x-54)/(3+x))","A"
3512,1,28,29,0.040000," ","int((x^2*ln(7)+(-2*x^3+3*x^2)*ln(2)-2*x^3+6)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2} \ln \left(2\right)+3 x \ln \left(2\right)+x \ln \left(7\right)-x^{2}-\frac{6}{x}$&$28$\\ norman&$\frac{-6+\left(-1-\ln \left(2\right)\right) x^{3}+\left(3 \ln \left(2\right)+\ln \left(7\right)\right) x^{2}}{x}$&$28$\\ risch&$-x^{2} \ln \left(2\right)+3 x \ln \left(2\right)+x \ln \left(7\right)-x^{2}-\frac{6}{x}$&$28$\\ gosper&$-\frac{x^{3} \ln \left(2\right)-3 x^{2} \ln \left(2\right)-x^{2} \ln \left(7\right)+x^{3}+6}{x}$&$31$\\ \hline \end{longtable}"," ",0,"-x^2*ln(2)+3*x*ln(2)+x*ln(7)-x^2-6/x","A"
3513,1,14,18,0.060000," ","int((4*x^2+5*x-40)/(2*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-\frac{11 x}{2}+2 \ln \left(4+x \right)$&$14$\\ risch&$x^{2}-\frac{11 x}{2}+2 \ln \left(4+x \right)$&$14$\\ norman&$x^{2}-\frac{11 x}{2}+2 \ln \left(2 x +8\right)$&$16$\\ meijerg&$2 \ln \left(1+\frac{x}{4}\right)-\frac{4 x \left(-\frac{3 x}{4}+6\right)}{3}+\frac{5 x}{2}$&$21$\\ \hline \end{longtable}"," ",0,"x^2-11/2*x+2*ln(4+x)","A"
3514,1,20,18,0.058000," ","int(((16*x^4-20*x^3+64*x^2-80*x)*ln(-4*x+5)-4*x^4-32*x^2-64)/(4*x-5)/ln(-4*x+5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{4}+8 x^{2}+16}{\ln \left(-4 x +5\right)}$&$20$\\ risch&$\frac{x^{4}+8 x^{2}+16}{\ln \left(-4 x +5\right)}$&$20$\\ derivativedivides&$\frac{\left(-4 x +5\right)^{4}}{256 \ln \left(-4 x +5\right)}-\frac{5 \left(-4 x +5\right)^{3}}{64 \ln \left(-4 x +5\right)}+\frac{139 \left(-4 x +5\right)^{2}}{128 \ln \left(-4 x +5\right)}-\frac{445 \left(-4 x +5\right)}{64 \ln \left(-4 x +5\right)}+\frac{7921}{256 \ln \left(-4 x +5\right)}$&$78$\\ default&$\frac{\left(-4 x +5\right)^{4}}{256 \ln \left(-4 x +5\right)}-\frac{5 \left(-4 x +5\right)^{3}}{64 \ln \left(-4 x +5\right)}+\frac{139 \left(-4 x +5\right)^{2}}{128 \ln \left(-4 x +5\right)}-\frac{445 \left(-4 x +5\right)}{64 \ln \left(-4 x +5\right)}+\frac{7921}{256 \ln \left(-4 x +5\right)}$&$78$\\ \hline \end{longtable}"," ",0,"(x^4+8*x^2+16)/ln(-4*x+5)","A"
3515,1,28,23,0.031000," ","int((-8*x*ln(x)-8*x*ln(5)+8*x*exp(3)+32*x-4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4+\left(-8 \ln \left(5\right)+8 \,{\mathrm e}^{3}+32\right) x \ln \left(x \right)-4 x \ln \left(x \right)^{2}}{x}$&$28$\\ default&$-4 \ln \left(x \right)^{2}+8 \ln \left(x \right) {\mathrm e}^{3}-8 \ln \left(5\right) \ln \left(x \right)+32 \ln \left(x \right)+\frac{4}{x}$&$29$\\ risch&$-4 \ln \left(x \right)^{2}+\frac{8 x \,{\mathrm e}^{3} \ln \left(x \right)-8 x \ln \left(5\right) \ln \left(x \right)+32 x \ln \left(x \right)+4}{x}$&$34$\\ \hline \end{longtable}"," ",0,"(4+(-8*ln(5)+8*exp(3)+32)*x*ln(x)-4*x*ln(x)^2)/x","A"
3516,1,32,24,0.020000," ","int(-ln(x^2)-20*x^4-96*x^3-144*x^2-72*x-11,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x^{5}-24 x^{4}-48 x^{3}-36 x^{2}-9 x -x \ln \left(x^{2}\right)$&$32$\\ norman&$-4 x^{5}-24 x^{4}-48 x^{3}-36 x^{2}-9 x -x \ln \left(x^{2}\right)$&$32$\\ risch&$-4 x^{5}-24 x^{4}-48 x^{3}-36 x^{2}-9 x -x \ln \left(x^{2}\right)$&$32$\\ \hline \end{longtable}"," ",0,"-4*x^5-24*x^4-48*x^3-36*x^2-9*x-x*ln(x^2)","A"
3517,1,14,14,0.069000," ","int((15*exp(x)^2+(x+29)*exp(x)+14)/(exp(x)^2+2*exp(x)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$15 x -\frac{x}{{\mathrm e}^{x}+1}$&$14$\\ default&$\frac{x \,{\mathrm e}^{x}}{{\mathrm e}^{x}+1}+14 \ln \left({\mathrm e}^{x}\right)$&$17$\\ norman&$\frac{14 x +15 \,{\mathrm e}^{x} x}{{\mathrm e}^{x}+1}$&$17$\\ \hline \end{longtable}"," ",0,"15*x-x/(exp(x)+1)","A"
3518,1,76,30,0.087000," ","int(((-50*x*exp(1)+4*x^3+306*x^2+2*x)*exp(3)^3+(150*x^2*exp(1)-12*x^4-838*x^3+54*x^2)*exp(3)^2+(-150*x^3*exp(1)+12*x^5+778*x^4+306*x^3)*exp(3)+50*x^4*exp(1)-4*x^6-246*x^5-162*x^4)/(25*exp(3)^3-75*x*exp(3)^2+75*x^2*exp(3)-25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x \,{\mathrm e}^{6}}{5}-\frac{4 x^{2} {\mathrm e}^{3}}{5}+\frac{36 x \,{\mathrm e}^{3}}{5}+\frac{x^{4}}{25}-x^{2} {\mathrm e}+\frac{82 x^{3}}{25}+\frac{81 x^{2}}{25}+\frac{\frac{\left(-20 \,{\mathrm e}^{12}+380 \,{\mathrm e}^{9}\right) x}{25}+\frac{4 \,{\mathrm e}^{15}}{5}-\frac{56 \,{\mathrm e}^{12}}{5}}{{\mathrm e}^{6}-2 x \,{\mathrm e}^{3}+x^{2}}$&$76$\\ norman&$\frac{\left(\frac{82}{25}-\frac{2 \,{\mathrm e}^{3}}{25}\right) x^{5}+\left(2 \,{\mathrm e} \,{\mathrm e}^{3}+\frac{102 \,{\mathrm e}^{6}}{25}+\frac{18 \,{\mathrm e}^{3}}{25}\right) x^{3}+\left(-2 \,{\mathrm e} \,{\mathrm e}^{9}+\frac{2 \,{\mathrm e}^{9}}{25}\right) x +\left(\frac{{\mathrm e}^{6}}{25}-{\mathrm e}-\frac{184 \,{\mathrm e}^{3}}{25}+\frac{81}{25}\right) x^{4}+\frac{x^{6}}{25}+\frac{{\mathrm e}^{12} \left(25 \,{\mathrm e}-1\right)}{25}}{\left(-x +{\mathrm e}^{3}\right)^{2}}$&$96$\\ gosper&$\frac{x^{4} {\mathrm e}^{6}-2 x^{5} {\mathrm e}^{3}+x^{6}+25 \,{\mathrm e} \,{\mathrm e}^{12}-50 \,{\mathrm e} \,{\mathrm e}^{9} x +50 \,{\mathrm e} \,{\mathrm e}^{3} x^{3}-25 x^{4} {\mathrm e}+102 x^{3} {\mathrm e}^{6}-184 x^{4} {\mathrm e}^{3}+82 x^{5}-{\mathrm e}^{12}+2 x \,{\mathrm e}^{9}+18 x^{3} {\mathrm e}^{3}+81 x^{4}}{25 \,{\mathrm e}^{6}-50 x \,{\mathrm e}^{3}+25 x^{2}}$&$116$\\ default&$\frac{x^{4}}{25}-6 x \,{\mathrm e} \,{\mathrm e}^{3}-x^{2} {\mathrm e}-\frac{4 x \,{\mathrm e}^{6}}{5}-\frac{4 x^{2} {\mathrm e}^{3}}{5}+\frac{82 x^{3}}{25}+6 x \,{\mathrm e}^{4}+\frac{36 x \,{\mathrm e}^{3}}{5}+\frac{81 x^{2}}{25}-\frac{4 \left(\munderset{\textit{\_R} =\RootOf \left(-3 \textit{\_Z}^{2} {\mathrm e}^{3}+\textit{\_Z}^{3}+3 \textit{\_Z} \,{\mathrm e}^{6}-{\mathrm e}^{9}\right)}{\sum}\frac{\left(-9 \,{\mathrm e}^{9} {\mathrm e}^{3}-\textit{\_R} \,{\mathrm e}^{12}+{\mathrm e}^{9} {\mathrm e}^{6}+19 \textit{\_R} \,{\mathrm e}^{9}\right) \ln \left(x -\textit{\_R} \right)}{-2 \textit{\_R} \,{\mathrm e}^{3}+\textit{\_R}^{2}+{\mathrm e}^{6}}\right)}{15}$&$128$\\ \hline \end{longtable}"," ",0,"-4/5*x*exp(6)-4/5*x^2*exp(3)+36/5*x*exp(3)+1/25*x^4-x^2*exp(1)+82/25*x^3+81/25*x^2+(1/25*(-20*exp(12)+380*exp(9))*x+4/5*exp(15)-56/5*exp(12))/(exp(6)-2*x*exp(3)+x^2)","B"
3519,1,16,16,0.023000," ","int((8*exp(x)+4*x^2+12*x+241)/(16*exp(x)+16*x^2+16*x+948),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{4}+\frac{\ln \left({\mathrm e}^{x}+x +\frac{237}{4}+x^{2}\right)}{4}$&$16$\\ norman&$\frac{x}{4}+\frac{\ln \left(16 \,{\mathrm e}^{x}+16 x^{2}+16 x +948\right)}{4}$&$22$\\ \hline \end{longtable}"," ",0,"1/4*x+1/4*ln(exp(x)+x+237/4+x^2)","A"
3520,1,364,25,0.172000," ","int((((-x^3+26)*ln(3)+x^4-2*x^3-26*x+52)*exp(1/x)*ln(((-x^3+26)*ln(3)+x^4-2*x^3-26*x+52)/x^2)+((-x^4-52*x)*ln(3)+2*x^5-2*x^4+26*x^2-104*x)*exp(1/x))/((x^5-26*x^2)*ln(3)-x^6+2*x^5+26*x^3-52*x^2)/ln(((-x^3+26)*ln(3)+x^4-2*x^3-26*x+52)/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 i {\mathrm e}^{\frac{1}{x}}}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 \pi  \mathrm{csgn}\left(\frac{i \left(x^{3}-26\right) \left(\ln \left(3\right)-x +2\right)}{x^{2}}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left(\ln \left(3\right)-x +2\right) \left(x^{3}-26\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}-26\right) \left(\ln \left(3\right)-x +2\right)}{x^{2}}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}-26\right) \left(\ln \left(3\right)-x +2\right)}{x^{2}}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\ln \left(3\right)-x +2\right)\right) \mathrm{csgn}\left(i \left(x^{3}-26\right)\right) \mathrm{csgn}\left(i \left(\ln \left(3\right)-x +2\right) \left(x^{3}-26\right)\right)+\pi  \,\mathrm{csgn}\left(i \left(\ln \left(3\right)-x +2\right)\right) \mathrm{csgn}\left(i \left(\ln \left(3\right)-x +2\right) \left(x^{3}-26\right)\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(x^{3}-26\right)\right) \mathrm{csgn}\left(i \left(\ln \left(3\right)-x +2\right) \left(x^{3}-26\right)\right)^{2}-\pi  \mathrm{csgn}\left(i \left(\ln \left(3\right)-x +2\right) \left(x^{3}-26\right)\right)^{3}+\pi  \,\mathrm{csgn}\left(i \left(\ln \left(3\right)-x +2\right) \left(x^{3}-26\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}-26\right) \left(\ln \left(3\right)-x +2\right)}{x^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x^{3}-26\right) \left(\ln \left(3\right)-x +2\right)}{x^{2}}\right)^{3}+2 \pi -2 i \ln \left(x^{3}-26\right)-2 i \ln \left(\ln \left(3\right)-x +2\right)+4 i \ln \left(x \right)}$&$364$\\ \hline \end{longtable}"," ",0,"-2*I*exp(1/x)/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-2*Pi*csgn(I/x^2*(x^3-26)*(ln(3)-x+2))^2-Pi*csgn(I/x^2)*csgn(I*(ln(3)-x+2)*(x^3-26))*csgn(I/x^2*(x^3-26)*(ln(3)-x+2))+Pi*csgn(I/x^2)*csgn(I/x^2*(x^3-26)*(ln(3)-x+2))^2-Pi*csgn(I*(ln(3)-x+2))*csgn(I*(x^3-26))*csgn(I*(ln(3)-x+2)*(x^3-26))+Pi*csgn(I*(ln(3)-x+2))*csgn(I*(ln(3)-x+2)*(x^3-26))^2+Pi*csgn(I*(x^3-26))*csgn(I*(ln(3)-x+2)*(x^3-26))^2-Pi*csgn(I*(ln(3)-x+2)*(x^3-26))^3+Pi*csgn(I*(ln(3)-x+2)*(x^3-26))*csgn(I/x^2*(x^3-26)*(ln(3)-x+2))^2+Pi*csgn(I/x^2*(x^3-26)*(ln(3)-x+2))^3+2*Pi-2*I*ln(x^3-26)-2*I*ln(ln(3)-x+2)+4*I*ln(x))","C"
3521,1,40,26,0.049000," ","int((12*x^11+44*x^10+40*x^9-18*x^8-64*x^7-56*x^6+6*x^5+20*x^4+16*x^3)/(4+2*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{4} \left(x^{5}+4 x^{4}+4 x^{3}-x^{2}-4 x -4\right) \left(x^{3}-1\right)}{4+2 \ln \left(2\right)}$&$40$\\ default&$\frac{x^{12}+4 x^{11}+4 x^{10}-2 x^{9}-8 x^{8}-8 x^{7}+x^{6}+4 x^{5}+4 x^{4}}{4+2 \ln \left(2\right)}$&$52$\\ norman&$\frac{2 x^{4}}{\ln \left(2\right)+2}+\frac{2 x^{5}}{\ln \left(2\right)+2}+\frac{x^{6}}{4+2 \ln \left(2\right)}-\frac{4 x^{7}}{\ln \left(2\right)+2}-\frac{4 x^{8}}{\ln \left(2\right)+2}-\frac{x^{9}}{\ln \left(2\right)+2}+\frac{2 x^{10}}{\ln \left(2\right)+2}+\frac{2 x^{11}}{\ln \left(2\right)+2}+\frac{x^{12}}{4+2 \ln \left(2\right)}$&$101$\\ risch&$\frac{x^{12}}{4+2 \ln \left(2\right)}+\frac{4 x^{11}}{4+2 \ln \left(2\right)}+\frac{4 x^{10}}{4+2 \ln \left(2\right)}-\frac{2 x^{9}}{4+2 \ln \left(2\right)}-\frac{8 x^{8}}{4+2 \ln \left(2\right)}-\frac{8 x^{7}}{4+2 \ln \left(2\right)}+\frac{x^{6}}{4+2 \ln \left(2\right)}+\frac{4 x^{5}}{4+2 \ln \left(2\right)}+\frac{4 x^{4}}{4+2 \ln \left(2\right)}$&$117$\\ \hline \end{longtable}"," ",0,"1/2*x^4*(x^5+4*x^4+4*x^3-x^2-4*x-4)*(x^3-1)/(ln(2)+2)","A"
3522,1,16,20,0.017000," ","int(1/4*(-4*x+4)*exp(3)^2+1/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2} {\mathrm e}^{6}}{2}+x \,{\mathrm e}^{6}+\frac{x}{4}$&$16$\\ gosper&$-\frac{x \left(2 x \,{\mathrm e}^{6}-4 \,{\mathrm e}^{6}-1\right)}{4}$&$19$\\ norman&$\left({\mathrm e}^{6}+\frac{1}{4}\right) x -\frac{x^{2} {\mathrm e}^{6}}{2}$&$19$\\ default&$\frac{{\mathrm e}^{6} \left(-2 x^{2}+4 x \right)}{4}+\frac{x}{4}$&$20$\\ \hline \end{longtable}"," ",0,"-1/2*x^2*exp(6)+x*exp(6)+1/4*x","A"
3523,1,23,21,0.279000," ","int(((x*exp(3)*ln(x)+5*x*exp(3))*ln(5+ln(x))+((-x^2+2*x)*exp(3)+3*x)*ln(x)+(-5*x^2+10*x+1)*exp(3)+15*x)/((x*exp(3)*ln(x)+5*x*exp(3))*ln(5+ln(x))+((-x^2+3*x)*exp(3)+3*x)*ln(x)+(-5*x^2+15*x)*exp(3)+15*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\ln \left(x \,{\mathrm e}^{3}-{\mathrm e}^{3} \ln \left(5+\ln \left(x \right)\right)-3 \,{\mathrm e}^{3}-3\right)$&$23$\\ risch&$x +\ln \left(\ln \left(5+\ln \left(x \right)\right)-\left(x \,{\mathrm e}^{3}-3 \,{\mathrm e}^{3}-3\right) {\mathrm e}^{-3}\right)$&$24$\\ \hline \end{longtable}"," ",0,"x+ln(x*exp(3)-exp(3)*ln(5+ln(x))-3*exp(3)-3)","A"
3524,1,89,34,0.110000," ","int(((-192*x^2-512*x-128)*exp(x)^5+(-1536*x^3-5376*x^2-3072*x)*exp(x)^4+(-3456*x^4-20608*x^3-20000*x^2+896*x+192)*exp(x)^3+(-34560*x^4-52224*x^3+6336*x^2+2304*x)*exp(x)^2+(5184*x^6-21888*x^5-49184*x^4+10848*x^3+4804*x^2-128*x-72)*exp(x))/((256*x^4+1024*x^3+1024*x^2)*exp(x)^8+(6144*x^5+24576*x^4+24576*x^3)*exp(x)^7+(64512*x^6+257024*x^5+253184*x^4-7168*x^3-3072*x^2)*exp(x)^6+(387072*x^7+1529856*x^6+1460736*x^5-129024*x^4-55296*x^3)*exp(x)^5+(1451520*x^8+5667840*x^7+5150976*x^6-959744*x^5-400544*x^4+10624*x^3+3456*x^2)*exp(x)^4+(3483648*x^9+13381632*x^8+11326464*x^7-3775488*x^6-1488768*x^5+127488*x^4+41472*x^3)*exp(x)^3+(5225472*x^10+19657728*x^9+15075072*x^8-8281600*x^7-2972352*x^6+563520*x^5+177232*x^4-5568*x^3-1728*x^2)*exp(x)^2+(4478976*x^11+16422912*x^10+10990080*x^9-9600000*x^8-2980224*x^7+1086336*x^6+316896*x^5-33408*x^4-10368*x^3)*exp(x)+1679616*x^12+5971968*x^11+3297024*x^10-4591872*x^9-1139360*x^8+770240*x^7+197808*x^6-47536*x^5-13487*x^4+900*x^3+324*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{x}}{x \left(2+x \right) \left(1296 x^{4}+1728 \,{\mathrm e}^{x} x^{3}+864 \,{\mathrm e}^{2 x} x^{2}+192 x \,{\mathrm e}^{3 x}+16 \,{\mathrm e}^{4 x}-288 x^{3}-192 \,{\mathrm e}^{x} x^{2}-32 x \,{\mathrm e}^{2 x}-200 x^{2}-144 \,{\mathrm e}^{x} x -24 \,{\mathrm e}^{2 x}+8 x +9\right)}$&$89$\\ \hline \end{longtable}"," ",0,"4/x/(2+x)*exp(x)/(1296*x^4+1728*exp(x)*x^3+864*exp(2*x)*x^2+192*x*exp(3*x)+16*exp(4*x)-288*x^3-192*exp(x)*x^2-32*x*exp(2*x)-200*x^2-144*exp(x)*x-24*exp(2*x)+8*x+9)","B"
3525,1,23,33,0.223000," ","int(((x*exp((-3*x+3)/x^2)^2+(-2*x^2+12*x-12)*exp((-3*x+3)/x^2)-6*x^2+9*x)*exp(-2*x/(exp((-3*x+3)/x^2)+3))+2*x^2*exp((-3*x+3)/x^2)^2+12*x^2*exp((-3*x+3)/x^2)+18*x^2)*exp(x*exp(-2*x/(exp((-3*x+3)/x^2)+3))+x^2)/(x*exp((-3*x+3)/x^2)^2+6*x*exp((-3*x+3)/x^2)+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x \left({\mathrm e}^{-\frac{2 x}{{\mathrm e}^{-\frac{3 \left(x -1\right)}{x^{2}}}+3}}+x \right)}$&$23$\\ \hline \end{longtable}"," ",0,"exp(x*(exp(-2*x/(exp(-3*(x-1)/x^2)+3))+x))","A"
3526,1,17,16,0.036000," ","int(((-14*x^2+7)*exp(x^2)*ln(x)-7*exp(x^2)+7*exp(3))/(5*exp(x^2)^2*ln(x)^2+(10*exp(3)+10*x)*exp(x^2)*ln(x)+5*exp(3)^2+10*x*exp(3)+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{7 x}{5 \left({\mathrm e}^{3}+{\mathrm e}^{x^{2}} \ln \left(x \right)+x \right)}$&$17$\\ \hline \end{longtable}"," ",0,"7/5*x/(exp(3)+exp(x^2)*ln(x)+x)","A"
3527,1,38,32,0.090000," ","int(((x^6-3*x^4+2*x^3)*exp(x)+(-x^2-2*x+2)*exp(2)*exp(2/x)-x^2*exp(2)+2*x-1)/(x^4-2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2} x -1}{x \left(x -1\right)}+{\mathrm e}^{x} x^{2}+\frac{{\mathrm e}^{\frac{2 x +2}{x}}}{x -1}$&$38$\\ norman&$\frac{-1+{\mathrm e}^{2} x +{\mathrm e}^{x} x^{4}+{\mathrm e}^{2} {\mathrm e}^{\frac{2}{x}} x -{\mathrm e}^{x} x^{3}}{x \left(x -1\right)}$&$39$\\ default&${\mathrm e}^{x} x^{2}-\frac{1}{x -1}+\frac{1}{x}+\frac{{\mathrm e}^{2}}{x -1}+2 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{\frac{2}{x}}}{2}+4 \,{\mathrm e}^{2} \expIntegralEi \left(1, -\frac{2}{x}+2\right)+\frac{{\mathrm e}^{\frac{2}{x}}}{\frac{1}{x}-1}\right)-2 \,{\mathrm e}^{2} \left(3 \,{\mathrm e}^{2} \expIntegralEi \left(1, -\frac{2}{x}+2\right)+\frac{{\mathrm e}^{\frac{2}{x}}}{\frac{1}{x}-1}\right)-{\mathrm e}^{2} \left(\frac{{\mathrm e}^{\frac{2}{x}}}{\frac{1}{x}-1}+2 \,{\mathrm e}^{2} \expIntegralEi \left(1, -\frac{2}{x}+2\right)\right)$&$130$\\ \hline \end{longtable}"," ",0,"(exp(2)*x-1)/x/(x-1)+exp(x)*x^2+1/(x-1)*exp(2*(x+1)/x)","A"
3528,1,11,18,0.015000," ","int(-exp(5+x)+1/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{3}-{\mathrm e}^{5+x}$&$11$\\ norman&$\frac{x}{3}-{\mathrm e}^{5+x}$&$11$\\ risch&$\frac{x}{3}-{\mathrm e}^{5+x}$&$11$\\ derivativedivides&$-{\mathrm e}^{5+x}+\frac{\ln \left({\mathrm e}^{5+x}\right)}{3}$&$15$\\ \hline \end{longtable}"," ",0,"1/3*x-exp(5+x)","A"
3529,1,31,30,0.110000," ","int(1/2*(-10*exp(2-x)*ln(x)+10*exp(2-x)+(5*x^4+10*x^3)*ln(3)+15*x^3+15*x^2-20*x+20)/x^2/exp(2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \ln \left(x \right)}{x}+\frac{5 \left(x^{3} \ln \left(3\right)+3 x^{2}-4\right) {\mathrm e}^{x -2}}{2 x}$&$31$\\ norman&$\frac{\left(-10+\frac{15 x^{2}}{2}+\frac{5 x^{3} \ln \left(3\right)}{2}+5 \,{\mathrm e}^{2-x} \ln \left(x \right)\right) {\mathrm e}^{x -2}}{x}$&$37$\\ default&$\frac{5 \ln \left(x \right)}{x}+\frac{5 \ln \left(3\right) {\mathrm e}^{x -2} \left(2-x \right)^{2}}{2}-10 \ln \left(3\right) {\mathrm e}^{x -2} \left(2-x \right)+10 \ln \left(3\right) {\mathrm e}^{x -2}-\frac{10 \,{\mathrm e}^{x -2}}{x}+\frac{105 \,{\mathrm e}^{x -2}}{2}-\frac{15 \left(-x +7\right) {\mathrm e}^{x -2}}{2}$&$71$\\ \hline \end{longtable}"," ",0,"5*ln(x)/x+5/2*(x^3*ln(3)+3*x^2-4)/x*exp(x-2)","A"
3530,1,27,25,0.030000," ","int((8*x^3*exp(5)+8*x^5+8*x^3-2*x^2-16)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x^{4}+4 x^{2} {\mathrm e}^{5}+4 x^{2}-2 x +\frac{16}{x}$&$27$\\ norman&$\frac{16+\left(4 \,{\mathrm e}^{5}+4\right) x^{3}-2 x^{2}+2 x^{5}}{x}$&$27$\\ risch&$2 x^{4}+4 x^{2} {\mathrm e}^{5}+4 x^{2}-2 x +\frac{16}{x}$&$27$\\ gosper&$\frac{2 x^{5}+4 x^{3} {\mathrm e}^{5}+4 x^{3}-2 x^{2}+16}{x}$&$28$\\ \hline \end{longtable}"," ",0,"2*x^4+4*x^2*exp(5)+4*x^2-2*x+16/x","A"
3531,1,18,17,0.024000," ","int((ln(1/625*exp(1))+1)*ln(ln(2))+(-4*x+1)*ln(1/625*exp(1))-4*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left(1-2 x +\ln \left(\ln \left(2\right)\right)\right) \left(\ln \left(\frac{{\mathrm e}}{625}\right)+1\right) x$&$18$\\ norman&$\left(8 \ln \left(5\right)-4\right) x^{2}+\left(-4 \ln \left(\ln \left(2\right)\right) \ln \left(5\right)-4 \ln \left(5\right)+2 \ln \left(\ln \left(2\right)\right)+2\right) x$&$32$\\ default&$\left(\ln \left(\frac{{\mathrm e}}{625}\right)+1\right) \ln \left(\ln \left(2\right)\right) x +\ln \left(\frac{{\mathrm e}}{625}\right) \left(-2 x^{2}+x \right)-2 x^{2}+x$&$33$\\ risch&$-4 \ln \left(\ln \left(2\right)\right) x \ln \left(5\right)+8 x^{2} \ln \left(5\right)+2 x \ln \left(\ln \left(2\right)\right)-4 x \ln \left(5\right)-4 x^{2}+2 x$&$36$\\ \hline \end{longtable}"," ",0,"(1-2*x+ln(ln(2)))*(ln(1/625*exp(1))+1)*x","A"
3532,1,9,26,0.008000," ","int(1/(5+ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{5+\ln \left(5\right)}$&$9$\\ norman&$\frac{x}{5+\ln \left(5\right)}$&$9$\\ risch&$\frac{x}{5+\ln \left(5\right)}$&$9$\\ \hline \end{longtable}"," ",0,"x/(5+ln(5))","A"
3533,1,248,21,0.015000," ","int(((8*x^12+56*x^11+144*x^10+80*x^9-320*x^8-576*x^7-64*x^6+384*x^5+256*x^3+1024*x^2-1024)*exp(1)^2+(-304*x^12-2128*x^11-5472*x^10-3040*x^9+12160*x^8+21888*x^7+2432*x^6-14592*x^5-9728*x^3-38912*x^2+38912)*exp(1)+2888*x^12+20216*x^11+51984*x^10+28880*x^9-115520*x^8-207936*x^7-23104*x^6+138624*x^5+92416*x^3+369664*x^2-369664)*exp(((x^12+8*x^11+24*x^10+16*x^9-80*x^8-192*x^7-32*x^6+384*x^5+384*x^4-256*x^3-512*x^2+256)*exp(1)^2+(-38*x^12-304*x^11-912*x^10-608*x^9+3040*x^8+7296*x^7+1216*x^6-14592*x^5-14592*x^4+9728*x^3+19456*x^2-9728)*exp(1)+361*x^12+2888*x^11+8664*x^10+5776*x^9-28880*x^8-69312*x^7-11552*x^6+138624*x^5+138624*x^4-92416*x^3-184832*x^2+92416)/x^4)/x^5,x)","\[{\mathrm e}^{\frac{92416+384 \,{\mathrm e}^{2} x^{5}+3040 x^{8} {\mathrm e}+7296 x^{7} {\mathrm e}-9728 \,{\mathrm e}+2888 x^{11}+361 x^{12}-69312 x^{7}-28880 x^{8}+8664 x^{10}+5776 x^{9}+256 \,{\mathrm e}^{2}-11552 x^{6}+138624 x^{5}+138624 x^{4}-92416 x^{3}-184832 x^{2}-32 x^{6} {\mathrm e}^{2}-80 x^{8} {\mathrm e}^{2}-14592 x^{5} {\mathrm e}-256 x^{3} {\mathrm e}^{2}-512 x^{2} {\mathrm e}^{2}+384 x^{4} {\mathrm e}^{2}+19456 x^{2} {\mathrm e}+9728 x^{3} {\mathrm e}-14592 x^{4} {\mathrm e}-38 \,{\mathrm e} x^{12}-304 \,{\mathrm e} x^{11}-912 \,{\mathrm e} x^{10}-608 \,{\mathrm e} x^{9}-192 \,{\mathrm e}^{2} x^{7}+1216 x^{6} {\mathrm e}+{\mathrm e}^{2} x^{12}+8 \,{\mathrm e}^{2} x^{11}+24 \,{\mathrm e}^{2} x^{10}+16 \,{\mathrm e}^{2} x^{9}}{x^{4}}}\]"," ",0,"exp((92416+3040*x^8*exp(1)+7296*x^7*exp(1)-9728*exp(1)+2888*x^11+361*x^12+256*exp(1)^2-69312*x^7-28880*x^8+8664*x^10+5776*x^9-11552*x^6+138624*x^5+138624*x^4-92416*x^3-184832*x^2-14592*x^5*exp(1)-256*x^3*exp(1)^2+384*x^4*exp(1)^2-512*x^2*exp(1)^2+19456*x^2*exp(1)+9728*x^3*exp(1)-32*x^6*exp(1)^2-14592*x^4*exp(1)-80*x^8*exp(1)^2-192*exp(1)^2*x^7+exp(1)^2*x^12+8*exp(1)^2*x^11-38*exp(1)*x^12+24*exp(1)^2*x^10-304*exp(1)*x^11+16*exp(1)^2*x^9-912*exp(1)*x^10-608*exp(1)*x^9+384*x^5*exp(1)^2+1216*x^6*exp(1))/x^4)","B"
3534,1,33,49,0.076000," ","int(((2*(15*x^2+100*x+125)*ln(2)*exp(x)+2*(3*x^3+20*x^2+25*x)*ln(2))*ln(1/5*x+exp(x))+(2*(-10*x^3-100*x^2-250*x)*ln(2)-5*x^4-80*x^3-450*x^2-1000*x-625)*exp(x)+2*(-2*x^3-20*x^2-50*x)*ln(2)-x^5-16*x^4-90*x^3-200*x^2-125*x)/((12960*ln(2)^3*exp(x)+2592*x*ln(2)^3)*ln(1/5*x+exp(x))^3+(4*(4860*x^2+19440*x-24300)*ln(2)^2*exp(x)+4*(972*x^3+3888*x^2-4860*x)*ln(2)^2)*ln(1/5*x+exp(x))^2+(2*(4860*x^4+38880*x^3+29160*x^2-194400*x+121500)*ln(2)*exp(x)+2*(972*x^5+7776*x^4+5832*x^3-38880*x^2+24300*x)*ln(2))*ln(1/5*x+exp(x))+(1620*x^6+19440*x^5+53460*x^4-90720*x^3-267300*x^2+486000*x-202500)*exp(x)+324*x^7+3888*x^6+10692*x^5-18144*x^4-53460*x^3+97200*x^2-40500*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(x^{2}+10 x +25\right)}{324 \left(2 \ln \left(2\right) \ln \left(\frac{x}{5}+{\mathrm e}^{x}\right)+x^{2}+4 x -5\right)^{2}}$&$33$\\ \hline \end{longtable}"," ",0,"1/324*x*(x^2+10*x+25)/(2*ln(2)*ln(1/5*x+exp(x))+x^2+4*x-5)^2","A"
3535,1,25,24,0.043000," ","int((((40*x^5-440*x^4+1440*x^3-1440*x^2+x-2)*exp(10*x^4-120*x^3+360*x^2)*ln(2-x)+(80*x^5-880*x^4+2880*x^3-2880*x^2+2*x-4)*exp(10*x^4-120*x^3+360*x^2))*ln(ln(2-x)+2)-x*exp(10*x^4-120*x^3+360*x^2))/((x-2)*ln(2-x)+2*x-4)/ln(ln(2-x)+2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{10 x^{2} \left(x -6\right)^{2}} x}{\ln \left(\ln \left(2-x \right)+2\right)}$&$25$\\ \hline \end{longtable}"," ",0,"exp(10*x^2*(x-6)^2)/ln(ln(2-x)+2)*x","A"
3536,1,25,24,0.227000," ","int(((((x^3-x^2)*exp(5)+x^3-x^2)*exp((4+x)*exp(5)+4+x)+2*x^2-2*x)*ln(1-x)^2+2*x^2*ln(1-x))*exp(exp((4+x)*exp(5)+4+x)-3)/(x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(1-x \right)^{2} x^{2} {\mathrm e}^{{\mathrm e}^{\left(4+x \right) \left({\mathrm e}^{5}+1\right)}-3}$&$25$\\ \hline \end{longtable}"," ",0,"ln(1-x)^2*x^2*exp(exp((4+x)*(exp(5)+1))-3)","A"
3537,1,12,22,0.016000," ","int(4*exp(x)*exp(exp(x))-2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+4 \,{\mathrm e}^{{\mathrm e}^{x}}$&$12$\\ norman&$-x^{2}+4 \,{\mathrm e}^{{\mathrm e}^{x}}$&$12$\\ risch&$-x^{2}+4 \,{\mathrm e}^{{\mathrm e}^{x}}$&$12$\\ \hline \end{longtable}"," ",0,"-x^2+4*exp(exp(x))","A"
3538,1,60,35,0.349000," ","int(((-3*x^2-6)*ln(x^4+4*x^2+4)^2+(-2*x^5-4*x^3)*ln(x^4+4*x^2+4)+4*x^5)/(((x^4+2*x^2)*ln(5)-x^4+3*x^3-2*x^2+6*x)*ln(x^4+4*x^2+4)^2+(-x^6-2*x^4)*ln(x^4+4*x^2+4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\left(-\ln \left(5\right)+1\right) x -3\right)-\ln \left(x \right)+\ln \left(\ln \left(x^{4}+4 x^{2}+4\right)-\frac{x^{3}}{x \ln \left(5\right)-x +3}\right)-\ln \left(\ln \left(x^{4}+4 x^{2}+4\right)\right)$&$60$\\ norman&$-\ln \left(x \right)-\ln \left(\ln \left(x^{4}+4 x^{2}+4\right)\right)+\ln \left(\ln \left(x^{4}+4 x^{2}+4\right) \ln \left(5\right) x -x^{3}-x \ln \left(x^{4}+4 x^{2}+4\right)+3 \ln \left(x^{4}+4 x^{2}+4\right)\right)$&$69$\\ \hline \end{longtable}"," ",0,"ln((-ln(5)+1)*x-3)-ln(x)+ln(ln(x^4+4*x^2+4)-x^3/(x*ln(5)-x+3))-ln(ln(x^4+4*x^2+4))","A"
3539,-1,0,29,180.000000," ","int((((-2*x^2+2)*exp(exp(exp(3)))^2+(4*x^3-4*x)*exp(exp(exp(3)))-2*x^4-6*x^2+8)*exp(ln(x)-x^2)*ln(exp(exp(exp(3)))^2-2*x*exp(exp(exp(3)))+x^2+4)+((2*x^2-2)*exp(2)*exp(exp(exp(3)))^2+((-4*x^3+4*x)*exp(2)-2*x)*exp(exp(exp(3)))+(2*x^4+6*x^2-8)*exp(2)+2*x^2)*exp(ln(x)-x^2))/(exp(exp(exp(3)))^2-2*x*exp(exp(exp(3)))+x^2+4),x,method=_RETURNVERBOSE)","\text{hanged}"," ",0,"int((((-2*x^2+2)*exp(exp(exp(3)))^2+(4*x^3-4*x)*exp(exp(exp(3)))-2*x^4-6*x^2+8)*exp(ln(x)-x^2)*ln(exp(exp(exp(3)))^2-2*x*exp(exp(exp(3)))+x^2+4)+((2*x^2-2)*exp(2)*exp(exp(exp(3)))^2+((-4*x^3+4*x)*exp(2)-2*x)*exp(exp(exp(3)))+(2*x^4+6*x^2-8)*exp(2)+2*x^2)*exp(ln(x)-x^2))/(exp(exp(exp(3)))^2-2*x*exp(exp(exp(3)))+x^2+4),x,method=_RETURNVERBOSE)","F"
3540,1,309,24,0.186000," ","int(((3*x^2-6*x+1)*ln(x)-8*x^2+15*x-2)/((x^3-3*x^2+x)*ln(x)-3*x^3+9*x^2-3*x)/ln((2*(-6*x^3+18*x^2-6*x)*ln(2)+18*x^3-54*x^2+18*x)*ln(x)+2*(18*x^3-54*x^2+18*x)*ln(2)-54*x^3+162*x^2-54*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x^{2}-3 x +1\right)+\frac{i \left(-2 \pi  \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right) \left(x^{2}-3 x +1\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right) \left(x^{2}-3 x +1\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right) \left(x^{2}-3 x +1\right)\right)+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right) \left(x^{2}-3 x +1\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right)\right) \mathrm{csgn}\left(i \left(x^{2}-3 x +1\right)\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right) \left(x^{2}-3 x +1\right)\right)+\pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right)\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right) \left(x^{2}-3 x +1\right)\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(x^{2}-3 x +1\right)\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right) \left(x^{2}-3 x +1\right)\right)^{2}-\pi  \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right) \left(x^{2}-3 x +1\right)\right)^{3}+\pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right) \left(x^{2}-3 x +1\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right) \left(x^{2}-3 x +1\right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right) \left(x^{2}-3 x +1\right)\right)^{3}-2 i \ln \left(\ln \left(x \right)-3\right)-2 i \ln \left(3\right)-2 i \ln \left(x \right)-2 i \ln \left(2\right)+2 \pi \right)}{2}\right)$&$309$\\ \hline \end{longtable}"," ",0,"ln(ln(x^2-3*x+1)+1/2*I*(-2*Pi*csgn(I*x*(ln(x)-3)*(x^2-3*x+1))^2-Pi*csgn(I*x)*csgn(I*(ln(x)-3)*(x^2-3*x+1))*csgn(I*x*(ln(x)-3)*(x^2-3*x+1))+Pi*csgn(I*x)*csgn(I*x*(ln(x)-3)*(x^2-3*x+1))^2-Pi*csgn(I*(ln(x)-3))*csgn(I*(x^2-3*x+1))*csgn(I*(ln(x)-3)*(x^2-3*x+1))+Pi*csgn(I*(ln(x)-3))*csgn(I*(ln(x)-3)*(x^2-3*x+1))^2+Pi*csgn(I*(x^2-3*x+1))*csgn(I*(ln(x)-3)*(x^2-3*x+1))^2-Pi*csgn(I*(ln(x)-3)*(x^2-3*x+1))^3+Pi*csgn(I*(ln(x)-3)*(x^2-3*x+1))*csgn(I*x*(ln(x)-3)*(x^2-3*x+1))^2+Pi*csgn(I*x*(ln(x)-3)*(x^2-3*x+1))^3-2*I*ln(ln(x)-3)-2*I*ln(3)-2*I*ln(x)-2*I*ln(2)+2*Pi))","C"
3541,1,21,22,0.164000," ","int(((x^6-16*x^5+90*x^4-200*x^3+125*x^2)*exp(x)+(3125*x-9375)*exp(625/(x^5-10*x^4+25*x^3)))/(x^7-15*x^6+75*x^5-125*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}}{x}-{\mathrm e}^{\frac{625}{x^{3} \left(x -5\right)^{2}}}$&$21$\\ norman&$\frac{{\mathrm e}^{x} x^{4}-25 x^{3} {\mathrm e}^{\frac{625}{x^{5}-10 x^{4}+25 x^{3}}}+10 x^{4} {\mathrm e}^{\frac{625}{x^{5}-10 x^{4}+25 x^{3}}}-x^{5} {\mathrm e}^{\frac{625}{x^{5}-10 x^{4}+25 x^{3}}}+25 \,{\mathrm e}^{x} x^{2}-10 \,{\mathrm e}^{x} x^{3}}{x^{3} \left(x -5\right)^{2}}$&$103$\\ \hline \end{longtable}"," ",0,"exp(x)/x-exp(625/x^3/(x-5)^2)","A"
3542,1,74,14,0.127000," ","int(((exp(x)*x+x^3)*ln(exp(x)*x+x^3)*ln(ln(exp(x)*x+x^3))^2+(-x-1)*exp(x)-3*x^2)/(exp(x)*x+x^3)/ln(exp(x)*x+x^3)/ln(ln(exp(x)*x+x^3))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{1}{\ln \left(\ln \left(x \right)+\ln \left(x^{2}+{\mathrm e}^{x}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}+{\mathrm e}^{x}\right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+{\mathrm e}^{x}\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+{\mathrm e}^{x}\right)\right)+\mathrm{csgn}\left(i \left(x^{2}+{\mathrm e}^{x}\right)\right)\right)}{2}\right)}$&$74$\\ \hline \end{longtable}"," ",0,"x+1/ln(ln(x)+ln(x^2+exp(x))-1/2*I*Pi*csgn(I*x*(x^2+exp(x)))*(-csgn(I*x*(x^2+exp(x)))+csgn(I*x))*(-csgn(I*x*(x^2+exp(x)))+csgn(I*(x^2+exp(x)))))","C"
3543,1,25,28,0.208000," ","int(((4*x*exp(4)+4*x^3-4*x^2-16*x)*ln(exp(4)+x^2-x-4)-4*x^3+2*x^2)/((4*exp(4)+4*x^2-4*x-16)*ln(exp(4)+x^2-x-4)^2+(-4*x^2*exp(4)-4*x^4+4*x^3+16*x^2)*ln(exp(4)+x^2-x-4)+x^4*exp(4)+x^6-x^5-4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}}{x^{2}-2 \ln \left({\mathrm e}^{4}+x^{2}-x -4\right)}$&$25$\\ norman&$-\frac{2 \ln \left({\mathrm e}^{4}+x^{2}-x -4\right)}{x^{2}-2 \ln \left({\mathrm e}^{4}+x^{2}-x -4\right)}$&$33$\\ \hline \end{longtable}"," ",0,"-x^2/(x^2-2*ln(exp(4)+x^2-x-4))","A"
3544,1,34,25,0.069000," ","int(((-32*x^3-62*x^2-12*x+2)*ln(2)-16*x^3-32*x^2-8*x)/(x^3+2*x^2+x)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-32 x \ln \left(2\right)-16 x +2 \ln \left(2\right) \ln \left(x \right)-\frac{2 \left(8 \ln \left(2\right)+4\right)}{x +1}}{\ln \left(2\right)}$&$34$\\ risch&$-32 x -\frac{16 x}{\ln \left(2\right)}-\frac{16}{x +1}-\frac{8}{\ln \left(2\right) \left(x +1\right)}+2 \ln \left(-x \right)$&$36$\\ norman&$\frac{-\frac{8 \left(1+2 \ln \left(2\right)\right) x}{\ln \left(2\right)}-\frac{16 \left(1+2 \ln \left(2\right)\right) x^{2}}{\ln \left(2\right)}}{x +1}+2 \ln \left(x \right)$&$41$\\ \hline \end{longtable}"," ",0,"1/ln(2)*(-32*x*ln(2)-16*x+2*ln(2)*ln(x)-2*(8*ln(2)+4)/(x+1))","A"
3545,1,20,23,0.096000," ","int(((2*x^2-8*x)*ln(x-4)+(-x^3+4*x^2)*ln(5)+x^2-x+4)/(x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2} \ln \left(x -4\right)-x -\frac{x^{3} \ln \left(5\right)}{3}$&$20$\\ risch&$x^{2} \ln \left(x -4\right)-x -\frac{x^{3} \ln \left(5\right)}{3}$&$20$\\ derivativedivides&$-\frac{\ln \left(5\right) \left(x -4\right)^{3}}{3}-4 \ln \left(5\right) \left(x -4\right)^{2}+\ln \left(x -4\right) \left(x -4\right)^{2}-16 \left(x -4\right) \ln \left(5\right)+8 \left(x -4\right) \ln \left(x -4\right)-x +4+16 \ln \left(x -4\right)$&$56$\\ default&$-\frac{\ln \left(5\right) \left(x -4\right)^{3}}{3}-4 \ln \left(5\right) \left(x -4\right)^{2}+\ln \left(x -4\right) \left(x -4\right)^{2}-16 \left(x -4\right) \ln \left(5\right)+8 \left(x -4\right) \ln \left(x -4\right)-x +4+16 \ln \left(x -4\right)$&$56$\\ \hline \end{longtable}"," ",0,"x^2*ln(x-4)-x-1/3*x^3*ln(5)","A"
3546,1,30,29,0.227000," ","int(((-2*x^3-2*x^2+2*x+2)*ln(-x^2+1)+2*x^3+4*x^2+10*x)/(x^6+4*x^5+13*x^4+16*x^3+11*x^2-20*x-25)/exp(exp(ln(5)^2)-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(-x^{2}+1\right) {\mathrm e}^{3-{\mathrm e}^{\ln \left(5\right)^{2}}}}{x^{2}+2 x +5}$&$30$\\ norman&$\frac{{\mathrm e}^{-{\mathrm e}^{\ln \left(5\right)^{2}}} {\mathrm e}^{3} \ln \left(-x^{2}+1\right)}{x^{2}+2 x +5}$&$32$\\ \hline \end{longtable}"," ",0,"ln(-x^2+1)/(x^2+2*x+5)*exp(3-exp(ln(5)^2))","A"
3547,1,49,27,0.048000," ","int(((288*x*ln(x)+288*x*exp(x-4)-288*x^3)*ln(-ln(x)-exp(x-4)+x^2)^2+(432*x*ln(x)+(288*x^2+432*x)*exp(x-4)-1008*x^3+288*x)*ln(-ln(x)-exp(x-4)+x^2)+162*x*ln(x)+(216*x^2+162*x)*exp(x-4)-594*x^3+216*x)*exp(144*x^2*ln(-ln(x)-exp(x-4)+x^2)^2+216*x^2*ln(-ln(x)-exp(x-4)+x^2)+81*x^2)/(ln(x)+exp(x-4)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-\ln \left(x \right)-{\mathrm e}^{x -4}+x^{2}\right)^{216 x^{2}} {\mathrm e}^{9 x^{2} \left(16 \ln \left(-\ln \left(x \right)-{\mathrm e}^{x -4}+x^{2}\right)^{2}+9\right)}$&$49$\\ \hline \end{longtable}"," ",0,"(-ln(x)-exp(x-4)+x^2)^(216*x^2)*exp(9*x^2*(16*ln(-ln(x)-exp(x-4)+x^2)^2+9))","A"
3548,1,101,29,0.131000," ","int((2*exp(3+x)*exp(exp(3+x))^2+((-2*x^2+2*x-4)*exp(3+x)-4*x+2)*exp(exp(3+x))+4*x^3-6*x^2+10*x-4)*exp((ln(3)^2*exp(exp(3+x))^2+(-2*x^2+2*x-4)*ln(3)^2*exp(exp(3+x))+(x^4-2*x^3+5*x^2-4*x+13)*ln(3)^2-12*ln(3)+4)/ln(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{4} \ln \left(3\right)^{2}-2 \ln \left(3\right)^{2} {\mathrm e}^{{\mathrm e}^{3+x}} x^{2}-2 x^{3} \ln \left(3\right)^{2}+2 \ln \left(3\right)^{2} {\mathrm e}^{{\mathrm e}^{3+x}} x +5 x^{2} \ln \left(3\right)^{2}-4 \ln \left(3\right)^{2} {\mathrm e}^{{\mathrm e}^{3+x}}+\ln \left(3\right)^{2} {\mathrm e}^{2 \,{\mathrm e}^{3+x}}-4 x \ln \left(3\right)^{2}+13 \ln \left(3\right)^{2}-12 \ln \left(3\right)+4}{\ln \left(3\right)^{2}}}$&$101$\\ \hline \end{longtable}"," ",0,"exp((x^4*ln(3)^2-2*ln(3)^2*exp(exp(3+x))*x^2-2*x^3*ln(3)^2+2*ln(3)^2*exp(exp(3+x))*x+5*x^2*ln(3)^2-4*ln(3)^2*exp(exp(3+x))+ln(3)^2*exp(2*exp(3+x))-4*x*ln(3)^2+13*ln(3)^2-12*ln(3)+4)/ln(3)^2)","B"
3549,1,33,25,0.043000," ","int(((36*x^3-288*x^2+752*x-640)*exp(4)*exp(5)+exp(4)+1)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 x^{4} {\mathrm e}^{5}-96 x^{3} {\mathrm e}^{5}+376 x^{2} {\mathrm e}^{5}-640 x \,{\mathrm e}^{5}+x +{\mathrm e}^{-4} x$&$33$\\ default&${\mathrm e}^{-4} \left({\mathrm e}^{4} {\mathrm e}^{5} \left(9 x^{4}-96 x^{3}+376 x^{2}-640 x \right)+x \,{\mathrm e}^{4}+x \right)$&$36$\\ gosper&$x \left(9 x^{3} {\mathrm e}^{4} {\mathrm e}^{5}-96 x^{2} {\mathrm e}^{4} {\mathrm e}^{5}+376 x \,{\mathrm e}^{4} {\mathrm e}^{5}-640 \,{\mathrm e}^{4} {\mathrm e}^{5}+{\mathrm e}^{4}+1\right) {\mathrm e}^{-4}$&$42$\\ norman&$376 x^{2} {\mathrm e}^{5}-96 x^{3} {\mathrm e}^{5}+9 x^{4} {\mathrm e}^{5}-{\mathrm e}^{-4} \left(640 \,{\mathrm e}^{4} {\mathrm e}^{5}-{\mathrm e}^{4}-1\right) x$&$42$\\ \hline \end{longtable}"," ",0,"9*x^4*exp(5)-96*x^3*exp(5)+376*x^2*exp(5)-640*x*exp(5)+x+exp(-4)*x","A"
3550,1,22,23,0.178000," ","int(((2*x^2-1)*exp((2*x^2-2*x+1)/x)-x^2)/x^2/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{-2}+{\mathrm e}^{\frac{2 x^{2}-4 x +1}{x}}$&$22$\\ norman&$\frac{x \,{\mathrm e}^{-2} {\mathrm e}^{\frac{2 x^{2}-2 x +1}{x}}-x^{2} {\mathrm e}^{-2}}{x}$&$36$\\ \hline \end{longtable}"," ",0,"-x*exp(-2)+exp((2*x^2-4*x+1)/x)","A"
3551,-1,0,19,180.000000," ","int((4*x^8+560*x^7+28488*x^6+595520*x^5+2569600*x^4-73629456*x^3-1030398440*x^2-4911736672*x-8156009700)*exp((x^8+184*x^7+13600*x^6+513920*x^5+10505414*x^4+115651112*x^3+688675888*x^2+2096362816*x+2563093129)/(x^4+4*x^3+6*x^2+4*x+1))/(x^5+5*x^4+10*x^3+10*x^2+5*x+1),x,method=_RETURNVERBOSE)","\text{hanged}"," ",0,"int((4*x^8+560*x^7+28488*x^6+595520*x^5+2569600*x^4-73629456*x^3-1030398440*x^2-4911736672*x-8156009700)*exp((x^8+184*x^7+13600*x^6+513920*x^5+10505414*x^4+115651112*x^3+688675888*x^2+2096362816*x+2563093129)/(x^4+4*x^3+6*x^2+4*x+1))/(x^5+5*x^4+10*x^3+10*x^2+5*x+1),x,method=_RETURNVERBOSE)","F"
3552,1,35,22,0.136000," ","int((2*exp(x)*x^2-2*x^2*ln(5)+(x-1)*exp(2)+x^4+3*x^3-4*x^2)/(exp(x)*x^2-2*x^2*ln(5)+exp(2)*x+x^4+x^3-5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left({\mathrm e}^{x}-\frac{-x^{3}+2 x \ln \left(5\right)-x^{2}-{\mathrm e}^{2}+5 x}{x}\right)$&$35$\\ norman&$x -\ln \left(x \right)+\ln \left(-x^{3}+2 x \ln \left(5\right)-{\mathrm e}^{x} x -x^{2}-{\mathrm e}^{2}+5 x \right)$&$36$\\ \hline \end{longtable}"," ",0,"x+ln(exp(x)-(-x^3+2*x*ln(5)-x^2-exp(2)+5*x)/x)","A"
3553,1,23,25,0.223000," ","int((((-8*exp(1)-12*x)*exp(ln(2)+2)+16*exp(1)+24*x)*ln(x)^2-3*x^2*exp(1)^2-6*x^3*exp(1)-3*x^4)/(x^3*exp(1)^2+2*x^4*exp(1)+x^5)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{\ln \left(x \right)}+\frac{8 \,{\mathrm e}^{2}-8}{x^{2} \left(x +{\mathrm e}\right)}$&$23$\\ default&$\frac{3}{\ln \left(x \right)}+\frac{8 \,{\mathrm e}^{2}-8}{x^{2} \left(x +{\mathrm e}\right)}$&$24$\\ norman&$\frac{\left(8 \,{\mathrm e}^{2}-8\right) \ln \left(x \right)+3 x^{3}+3 x^{2} {\mathrm e}}{x^{2} \left(x +{\mathrm e}\right) \ln \left(x \right)}$&$37$\\ \hline \end{longtable}"," ",0,"8*(exp(2)-1)/x^2/(x+exp(1))+3/ln(x)","A"
3554,1,13,14,0.096000," ","int((2*exp(x)*exp(exp(x))*exp(2*exp(exp(x)))+640)/(exp(2*exp(exp(x)))+640*x-256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left({\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{x}}}+640 x -256\right)$&$13$\\ norman&$\ln \left({\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{x}}}+640 x -256\right)$&$13$\\ risch&$\ln \left({\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{x}}}+640 x -256\right)$&$13$\\ \hline \end{longtable}"," ",0,"ln(exp(2*exp(exp(x)))+640*x-256)","A"
3555,1,15,14,0.076000," ","int(((144*ln(2)+144*x+431)*ln(16*ln(2)+16*x+431/9)-144*x)/(144*ln(2)+144*x+431)/ln(16*ln(2)+16*x+431/9)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{\ln \left(16 \ln \left(2\right)+16 x +\frac{431}{9}\right)}$&$15$\\ risch&$\frac{x}{\ln \left(16 \ln \left(2\right)+16 x +\frac{431}{9}\right)}$&$15$\\ derivativedivides&$\frac{16 \ln \left(2\right)+16 x +\frac{431}{9}}{16 \ln \left(16 \ln \left(2\right)+16 x +\frac{431}{9}\right)}-\frac{\ln \left(2\right)}{\ln \left(16 \ln \left(2\right)+16 x +\frac{431}{9}\right)}-\frac{431}{144 \ln \left(16 \ln \left(2\right)+16 x +\frac{431}{9}\right)}$&$55$\\ default&$\frac{16 \ln \left(2\right)+16 x +\frac{431}{9}}{16 \ln \left(16 \ln \left(2\right)+16 x +\frac{431}{9}\right)}-\frac{\ln \left(2\right)}{\ln \left(16 \ln \left(2\right)+16 x +\frac{431}{9}\right)}-\frac{431}{144 \ln \left(16 \ln \left(2\right)+16 x +\frac{431}{9}\right)}$&$55$\\ \hline \end{longtable}"," ",0,"x/ln(16*ln(2)+16*x+431/9)","A"
3556,1,84,25,0.182000," ","int(((5*x-5)*exp(ln(3)+x)^2+(5*x^3-10*x^2+20*x-20)*exp(ln(3)+x)-20*x^2+20*x-20)*exp(((x-2)*exp(ln(3)+x)-x^2+2*x-4)/(exp(ln(3)+x)+2))/(2*x^2*exp(ln(3)+x)^2+8*x^2*exp(ln(3)+x)+8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{5 \,{\mathrm e}^{\ln \left(3\right)+x} {\mathrm e}^{\frac{\left(x -2\right) {\mathrm e}^{\ln \left(3\right)+x}-x^{2}+2 x -4}{{\mathrm e}^{\ln \left(3\right)+x}+2}}}{2}+5 \,{\mathrm e}^{\frac{\left(x -2\right) {\mathrm e}^{\ln \left(3\right)+x}-x^{2}+2 x -4}{{\mathrm e}^{\ln \left(3\right)+x}+2}}}{x \left({\mathrm e}^{\ln \left(3\right)+x}+2\right)}$&$84$\\ \hline \end{longtable}"," ",0,"(5/2*exp(ln(3)+x)*exp(((x-2)*exp(ln(3)+x)-x^2+2*x-4)/(exp(ln(3)+x)+2))+5*exp(((x-2)*exp(ln(3)+x)-x^2+2*x-4)/(exp(ln(3)+x)+2)))/x/(exp(ln(3)+x)+2)","B"
3557,1,13,17,0.056000," ","int((-2*exp(x)*x+5*x+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x +2 \ln \left(x \right)-2 \,{\mathrm e}^{x}$&$13$\\ norman&$5 x +2 \ln \left(x \right)-2 \,{\mathrm e}^{x}$&$13$\\ risch&$5 x +2 \ln \left(x \right)-2 \,{\mathrm e}^{x}$&$13$\\ \hline \end{longtable}"," ",0,"5*x+2*ln(x)-2*exp(x)","A"
3558,1,83,25,0.088000," ","int((x^4+12*x^3+40*x^2+32*x)*exp(1/2*x)^2+(-x^6+605*x^5+8033*x^4-64*x^3-139744*x^2-199744*x)*exp(1/2*x)+8*x^7-8694*x^6+2321298*x^5-3731570*x^4-60477948*x^3+46515384*x^2+311700512*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{4}+8 x^{3}+16 x^{2}\right) {\mathrm e}^{x}+\left(-2 x^{6}+1234 x^{5}+3726 x^{4}-29936 x^{3}-99872 x^{2}\right) {\mathrm e}^{\frac{x}{2}}+x^{8}-1242 x^{7}+386883 x^{6}-746314 x^{5}-15119487 x^{4}+15505128 x^{3}+155850256 x^{2}$&$83$\\ derivativedivides&$x^{8}-1242 x^{7}+386883 x^{6}-746314 x^{5}-15119487 x^{4}+15505128 x^{3}+155850256 x^{2}+{\mathrm e}^{x} x^{4}+8 \,{\mathrm e}^{x} x^{3}+16 \,{\mathrm e}^{x} x^{2}-99872 x^{2} {\mathrm e}^{\frac{x}{2}}-29936 \,{\mathrm e}^{\frac{x}{2}} x^{3}+3726 \,{\mathrm e}^{\frac{x}{2}} x^{4}+1234 \,{\mathrm e}^{\frac{x}{2}} x^{5}-2 \,{\mathrm e}^{\frac{x}{2}} x^{6}$&$112$\\ default&$x^{8}-1242 x^{7}+386883 x^{6}-746314 x^{5}-15119487 x^{4}+15505128 x^{3}+155850256 x^{2}+{\mathrm e}^{x} x^{4}+8 \,{\mathrm e}^{x} x^{3}+16 \,{\mathrm e}^{x} x^{2}-99872 x^{2} {\mathrm e}^{\frac{x}{2}}-29936 \,{\mathrm e}^{\frac{x}{2}} x^{3}+3726 \,{\mathrm e}^{\frac{x}{2}} x^{4}+1234 \,{\mathrm e}^{\frac{x}{2}} x^{5}-2 \,{\mathrm e}^{\frac{x}{2}} x^{6}$&$112$\\ norman&$x^{8}-1242 x^{7}+386883 x^{6}-746314 x^{5}-15119487 x^{4}+15505128 x^{3}+155850256 x^{2}+{\mathrm e}^{x} x^{4}+8 \,{\mathrm e}^{x} x^{3}+16 \,{\mathrm e}^{x} x^{2}-99872 x^{2} {\mathrm e}^{\frac{x}{2}}-29936 \,{\mathrm e}^{\frac{x}{2}} x^{3}+3726 \,{\mathrm e}^{\frac{x}{2}} x^{4}+1234 \,{\mathrm e}^{\frac{x}{2}} x^{5}-2 \,{\mathrm e}^{\frac{x}{2}} x^{6}$&$112$\\ \hline \end{longtable}"," ",0,"(x^4+8*x^3+16*x^2)*exp(x)+(-2*x^6+1234*x^5+3726*x^4-29936*x^3-99872*x^2)*exp(1/2*x)+x^8-1242*x^7+386883*x^6-746314*x^5-15119487*x^4+15505128*x^3+155850256*x^2","B"
3559,1,26,25,0.061000," ","int((((6*x^2-24)*exp(exp(5))*ln(1/2*x^2-2)+((2*x^2-8)*exp(5)+2*x^4-8*x^2)*exp(exp(5)))*ln(3*ln(1/2*x^2-2)+x^2+exp(5))+(-4*x^4+4*x^2)*exp(exp(5)))/((3*x^2-12)*ln(1/2*x^2-2)+(x^2-4)*exp(5)+x^4-4*x^2)/ln(3*ln(1/2*x^2-2)+x^2+exp(5))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{{\mathrm e}^{5}} x}{\ln \left(3 \ln \left(\frac{x^{2}}{2}-2\right)+x^{2}+{\mathrm e}^{5}\right)}$&$26$\\ \hline \end{longtable}"," ",0,"2*exp(exp(5))/ln(3*ln(1/2*x^2-2)+x^2+exp(5))*x","A"
3560,1,27,25,0.026000," ","int(1/9*((-36*x-18)*ln(x)*ln(ln(x))^3-24*x*ln(x)*ln(ln(x))^2+(-8*x*ln(x)+12*x)*ln(ln(x))+8*x)/ln(x)/ln(ln(x))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x^{2}-2 x -\frac{4 x^{2} \left(3 \ln \left(\ln \left(x \right)\right)+1\right)}{9 \ln \left(\ln \left(x \right)\right)^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"-2*x^2-2*x-4/9*x^2*(3*ln(ln(x))+1)/ln(ln(x))^2","A"
3561,1,19,16,0.075000," ","int(((-12*x-1)*ln(4*x+1/3)+(24*x^3+2*x^2-12*x)*ln(x)+12*x^3+x^2)/(36*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right) \ln \left(4 x +\frac{1}{3}\right)}{3}+\frac{x^{2} \ln \left(x \right)}{3}$&$19$\\ default&$\frac{\ln \left(3\right) \ln \left(x \right)}{3}+\frac{x^{2} \ln \left(x \right)}{3}-\frac{\ln \left(x \right) \ln \left(12 x +1\right)}{3}$&$25$\\ \hline \end{longtable}"," ",0,"-1/3*ln(x)*ln(4*x+1/3)+1/3*x^2*ln(x)","A"
3562,1,8,10,0.027000," ","int(2*exp(1+ln(2))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{2 \,{\mathrm e}}{x^{2}}$&$8$\\ risch&$-\frac{2 \,{\mathrm e}}{x^{2}}$&$8$\\ gosper&$-\frac{{\mathrm e}^{1+\ln \left(2\right)}}{x^{2}}$&$11$\\ default&$-\frac{{\mathrm e}^{1+\ln \left(2\right)}}{x^{2}}$&$11$\\ \hline \end{longtable}"," ",0,"-2*exp(1)/x^2","A"
3563,1,40,24,0.105000," ","int((2*x^3*exp(x+1)^2+((20*x^2-20*x)*ln(2)-x^3)*exp(x+1)-200*ln(2)^2+10*x*ln(2))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{100 \ln \left(2\right)^{2}-10 x \ln \left(2\right)}{x^{2}}+{\mathrm e}^{2 x +2}+\frac{\left(20 \ln \left(2\right)-x \right) {\mathrm e}^{x +1}}{x}$&$40$\\ derivativedivides&$\frac{100 \ln \left(2\right)^{2}}{x^{2}}-{\mathrm e}^{x +1}+\frac{20 \ln \left(2\right) {\mathrm e}^{x +1}}{x}+{\mathrm e}^{2 x +2}-\frac{10 \ln \left(2\right)}{x}$&$41$\\ default&$\frac{100 \ln \left(2\right)^{2}}{x^{2}}-{\mathrm e}^{x +1}+\frac{20 \ln \left(2\right) {\mathrm e}^{x +1}}{x}+{\mathrm e}^{2 x +2}-\frac{10 \ln \left(2\right)}{x}$&$41$\\ norman&$\frac{x^{2} {\mathrm e}^{2 x +2}+100 \ln \left(2\right)^{2}-10 x \ln \left(2\right)-x^{2} {\mathrm e}^{x +1}+20 \,{\mathrm e}^{x +1} \ln \left(2\right) x}{x^{2}}$&$45$\\ \hline \end{longtable}"," ",0,"(100*ln(2)^2-10*x*ln(2))/x^2+exp(2*x+2)+(20*ln(2)-x)/x*exp(x+1)","A"
3564,1,14,16,0.011000," ","int(ln(x)+6*x^2+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x^{3}+3 x +x \ln \left(x \right)$&$14$\\ norman&$2 x^{3}+3 x +x \ln \left(x \right)$&$14$\\ risch&$2 x^{3}+3 x +x \ln \left(x \right)$&$14$\\ \hline \end{longtable}"," ",0,"2*x^3+3*x+x*ln(x)","A"
3565,1,31,23,0.045000," ","int((((8*x+4)*ln(x+1)-4*x)*ln(3*x)+(-8*x-4)*ln(x+1)^2+(4*x+4)*ln(x+1))/((x^2+x)*ln(x+1)*ln(3*x)+(-x^2-x)*ln(x+1)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(x^{2}+x \right)-4 \ln \left(\ln \left(x +1\right)\right)+4 \ln \left(\ln \left(x +1\right)-\ln \left(3 x \right)\right)$&$31$\\ \hline \end{longtable}"," ",0,"4*ln(x^2+x)-4*ln(ln(x+1))+4*ln(ln(x+1)-ln(3*x))","A"
3566,1,25,23,0.048000," ","int((((-10*ln(2)-5)*ln(x)^2-10*x*ln(2)-5*x)*ln(ln(x)^2+x)^2+((40*ln(2)+20)*ln(x)+20*x*ln(2)+10*x)*ln(ln(x)^2+x))/(2*x^2*ln(2)*ln(x)^2+2*x^3*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \left(1+2 \ln \left(2\right)\right) \ln \left(\ln \left(x \right)^{2}+x \right)^{2}}{2 x \ln \left(2\right)}$&$25$\\ \hline \end{longtable}"," ",0,"5/2*(1+2*ln(2))/x/ln(2)*ln(ln(x)^2+x)^2","A"
3567,0,0,19,0.027000," ","int(1/(4*x*ln(7/x)*ln(ln(7/x))+(-4*x*exp(5)-8*x)*ln(7/x))/ln(-ln(ln(7/x))+exp(5)+2),x)","\[\int \frac{1}{\left(4 x \ln \left(\frac{7}{x}\right) \ln \left(\ln \left(\frac{7}{x}\right)\right)+\left(-4 x \,{\mathrm e}^{5}-8 x \right) \ln \left(\frac{7}{x}\right)\right) \ln \left(-\ln \left(\ln \left(\frac{7}{x}\right)\right)+{\mathrm e}^{5}+2\right)}\, dx\]"," ",0,"int(1/(4*x*ln(7/x)*ln(ln(7/x))+(-4*x*exp(5)-8*x)*ln(7/x))/ln(-ln(ln(7/x))+exp(5)+2),x)","F"
3568,1,22,19,0.280000," ","int((2*ln(exp(exp(4))^2-3)+(4*x-2)*exp(x)+2*x)/(15*ln(exp(exp(4))^2-3)^3+(-45*exp(x)-45*x)*ln(exp(exp(4))^2-3)^2+(45*exp(x)^2+90*exp(x)*x+45*x^2)*ln(exp(exp(4))^2-3)-15*exp(x)^3-45*x*exp(x)^2-45*exp(x)*x^2-15*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x}{15 \left(\ln \left({\mathrm e}^{2 \,{\mathrm e}^{4}}-3\right)-x -{\mathrm e}^{x}\right)^{2}}$&$22$\\ risch&$\frac{2 x}{15 \left(\ln \left({\mathrm e}^{2 \,{\mathrm e}^{4}}-3\right)-x -{\mathrm e}^{x}\right)^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"2/15*x/(ln(exp(exp(4))^2-3)-x-exp(x))^2","A"
3569,1,25,26,0.172000," ","int((4*ln(2)+4)*ln(ln(2*x-4))/((x-2)*ln(2*x-4)*ln(ln(2*x-4))^2+(4-2*x)*ln(2)*ln(2*x-4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(2+2 \ln \left(2\right)\right) \ln \left(2 \ln \left(2\right)-\ln \left(\ln \left(2 x -4\right)\right)^{2}\right)$&$25$\\ risch&$2 \ln \left(\ln \left(\ln \left(2 x -4\right)\right)^{2}-2 \ln \left(2\right)\right) \ln \left(2\right)+2 \ln \left(\ln \left(\ln \left(2 x -4\right)\right)^{2}-2 \ln \left(2\right)\right)$&$38$\\ \hline \end{longtable}"," ",0,"(2+2*ln(2))*ln(2*ln(2)-ln(ln(2*x-4))^2)","A"
3570,1,34,34,0.034000," ","int((90*x^5-75*x^4-140*x^3+85*x^2+20*x-30)/(9*x^5-12*x^4-17*x^3+11*x^2+6*x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$10 x -5 \ln \left(3 x^{2}+x -1\right)+5 \ln \left(3 x^{3}-5 x^{2}-3 x +3\right)$&$34$\\ norman&$10 x -5 \ln \left(3 x^{2}+x -1\right)+5 \ln \left(3 x^{3}-5 x^{2}-3 x +3\right)$&$34$\\ risch&$10 x -5 \ln \left(3 x^{2}+x -1\right)+5 \ln \left(3 x^{3}-5 x^{2}-3 x +3\right)$&$34$\\ \hline \end{longtable}"," ",0,"10*x-5*ln(3*x^2+x-1)+5*ln(3*x^3-5*x^2-3*x+3)","A"
3571,1,25,21,0.033000," ","int(((3*x^2+8*x-11)*ln(x)^2+(-6*x^3+2*x^2+70*x-63)*ln(x)+3*x^4-10*x^3-32*x^2+138*x-93)/(ln(x)^2+(6-2*x)*ln(x)+x^2-6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+4 x^{2}-11 x -\frac{3 x}{x -\ln \left(x \right)-3}$&$25$\\ norman&$\frac{x^{3}+x^{4}+30 \ln \left(x \right)-23 x^{2}+11 x \ln \left(x \right)-4 x^{2} \ln \left(x \right)-x^{3} \ln \left(x \right)+90}{x -\ln \left(x \right)-3}$&$47$\\ \hline \end{longtable}"," ",0,"x^3+4*x^2-11*x-3*x/(x-ln(x)-3)","A"
3572,1,25,16,0.026000," ","int((x*exp(4)*ln(x)+(-10*x-1)*exp(4)+2*x^2-x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\left(-1-11 \,{\mathrm e}^{4}\right) x -{\mathrm e}^{4} \ln \left(x \right)+x \,{\mathrm e}^{4} \ln \left(x \right)$&$25$\\ risch&$x \,{\mathrm e}^{4} \ln \left(x \right)-11 x \,{\mathrm e}^{4}+x^{2}-x -{\mathrm e}^{4} \ln \left(x \right)$&$25$\\ default&${\mathrm e}^{4} \left(x \ln \left(x \right)-x \right)-10 x \,{\mathrm e}^{4}+x^{2}-{\mathrm e}^{4} \ln \left(x \right)-x$&$30$\\ \hline \end{longtable}"," ",0,"x^2+(-1-11*exp(4))*x-exp(4)*ln(x)+x*exp(4)*ln(x)","A"
3573,1,19,19,0.054000," ","int(1/2*(2*exp(x)^2*x^3+(-x^3-3*x^2-2*x)*exp(x)+1)/exp(exp(x)+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-{\mathrm e}^{x} x^{3}+x \right) {\mathrm e}^{-2 \,{\mathrm e}^{x}-2}}{2}$&$19$\\ \hline \end{longtable}"," ",0,"1/2*(-exp(x)*x^3+x)*exp(-2*exp(x)-2)","A"
3574,1,16,20,0.053000," ","int((64*x^5+192*x^4+16*x^2+16*x-144)*exp(1)*exp(x^4+x)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{16 \,{\mathrm e}^{x^{4}+x +1} \left(3+x \right)}{x^{3}}$&$16$\\ risch&$\frac{16 \,{\mathrm e}^{x^{4}+x +1} \left(3+x \right)}{x^{3}}$&$16$\\ norman&$\frac{48 \,{\mathrm e} \,{\mathrm e}^{x^{4}+x}+16 x \,{\mathrm e} \,{\mathrm e}^{x^{4}+x}}{x^{3}}$&$27$\\ \hline \end{longtable}"," ",0,"16*exp(x^4+x+1)*(3+x)/x^3","A"
3575,1,57,32,0.049000," ","int(1/8*(-8*x*ln(x)^3*ln(4*ln(2)^2)^2+(-16*x^2+8*x)*ln(x)^3+(4*x*exp(1)-12*x)*ln(x)^2+(-4*x*exp(1)+12*x)*ln(x)+exp(1)^2-6*exp(1)+9)/x/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x \ln \left(\ln \left(2\right)\right)^{2}-8 \ln \left(2\right) \ln \left(\ln \left(2\right)\right) x -4 x \ln \left(2\right)^{2}-x^{2}+x -\frac{-8 x \,{\mathrm e} \ln \left(x \right)+{\mathrm e}^{2}+24 x \ln \left(x \right)-6 \,{\mathrm e}+9}{16 \ln \left(x \right)^{2}}$&$57$\\ norman&$\frac{\left(\frac{{\mathrm e}}{2}-\frac{3}{2}\right) x \ln \left(x \right)+\left(-4 \ln \left(\ln \left(2\right)\right)^{2}-8 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)-4 \ln \left(2\right)^{2}+1\right) x \ln \left(x \right)^{2}-x^{2} \ln \left(x \right)^{2}-\frac{9}{16}-\frac{{\mathrm e}^{2}}{16}+\frac{3 \,{\mathrm e}}{8}}{\ln \left(x \right)^{2}}$&$65$\\ default&$-4 x \ln \left(2\right)^{2}-8 \ln \left(2\right) \ln \left(\ln \left(2\right)\right) x -4 x \ln \left(\ln \left(2\right)\right)^{2}-x^{2}+x -\frac{{\mathrm e} \expIntegralEi \left(1, -\ln \left(x \right)\right)}{2}-\frac{{\mathrm e} \left(-\frac{x}{\ln \left(x \right)}-\expIntegralEi \left(1, -\ln \left(x \right)\right)\right)}{2}-\frac{3 x}{2 \ln \left(x \right)}-\frac{{\mathrm e}^{2}}{16 \ln \left(x \right)^{2}}+\frac{3 \,{\mathrm e}}{8 \ln \left(x \right)^{2}}-\frac{9}{16 \ln \left(x \right)^{2}}$&$92$\\ \hline \end{longtable}"," ",0,"-4*x*ln(ln(2))^2-8*ln(2)*ln(ln(2))*x-4*x*ln(2)^2-x^2+x-1/16*(-8*x*exp(1)*ln(x)+exp(2)+24*x*ln(x)-6*exp(1)+9)/ln(x)^2","A"
3576,1,28,27,0.145000," ","int(((2*(2*x^2-2*x-2)*ln(2)+x^3+x^2-3*x-2)*ln(-x^2+x+1)+2*(2*x^2-9*x+4)*ln(2)+2*x^3-11*x^2+13*x-4)/(2*(x^3-5*x^2+3*x+4)*ln(2)+x^4-6*x^3+8*x^2+x-4)/ln(-x^2+x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x +2 \ln \left(2\right)-1\right)+2 \ln \left(x -4\right)+\ln \left(\ln \left(-x^{2}+x +1\right)\right)$&$28$\\ norman&$-\ln \left(x +2 \ln \left(2\right)-1\right)+2 \ln \left(x -4\right)+\ln \left(\ln \left(-x^{2}+x +1\right)\right)$&$28$\\ risch&$-\ln \left(x +2 \ln \left(2\right)-1\right)+2 \ln \left(x -4\right)+\ln \left(\ln \left(-x^{2}+x +1\right)\right)$&$28$\\ \hline \end{longtable}"," ",0,"-ln(x+2*ln(2)-1)+2*ln(x-4)+ln(ln(-x^2+x+1))","A"
3577,1,19,18,0.111000," ","int(((20*x+15)*ln(5)-20*x^2-15*x-15)/(3*ln(5)-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{10 x^{2}}{3}+5 x +5 \ln \left(-\ln \left(5\right)+x \right)$&$19$\\ risch&$\frac{10 x^{2}}{3}+5 x +5 \ln \left(-\ln \left(5\right)+x \right)$&$19$\\ norman&$5 x +\frac{10 x^{2}}{3}+5 \ln \left(3 \ln \left(5\right)-3 x \right)$&$21$\\ meijerg&$-5 \ln \left(5\right) \ln \left(1-\frac{x}{\ln \left(5\right)}\right)+5 \ln \left(1-\frac{x}{\ln \left(5\right)}\right)+\frac{20 \ln \left(5\right)^{2} \left(\frac{x \left(\frac{3 x}{\ln \left(5\right)}+6\right)}{6 \ln \left(5\right)}+\ln \left(1-\frac{x}{\ln \left(5\right)}\right)\right)}{3}-\left(-\frac{20 \ln \left(5\right)}{3}+5\right) \ln \left(5\right) \left(-\frac{x}{\ln \left(5\right)}-\ln \left(1-\frac{x}{\ln \left(5\right)}\right)\right)$&$91$\\ \hline \end{longtable}"," ",0,"10/3*x^2+5*x+5*ln(-ln(5)+x)","A"
3578,1,38,24,0.135000," ","int(1/2*((((-5*x^2-20*x)*ln(2)+4)*exp((5*x+5)*ln(2))+2*x^2)*ln(x)+(-x-4)*exp((5*x+5)*ln(2))+2*x^2+8*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(2 x^{2}-x 2^{5 x +5}-4 \,2^{5 x +5}\right) \ln \left(x \right)}{2 x}+4 \ln \left(x \right)$&$38$\\ default&$\frac{-4 \ln \left(x \right) {\mathrm e}^{\left(5 x +5\right) \ln \left(2\right)}-x \,{\mathrm e}^{\left(5 x +5\right) \ln \left(2\right)} \ln \left(x \right)}{2 x}+4 \ln \left(x \right)+x \ln \left(x \right)$&$43$\\ norman&$\frac{x^{2} \ln \left(x \right)+4 x \ln \left(x \right)-2 \ln \left(x \right) {\mathrm e}^{\left(5 x +5\right) \ln \left(2\right)}-\frac{x \,{\mathrm e}^{\left(5 x +5\right) \ln \left(2\right)} \ln \left(x \right)}{2}}{x}$&$44$\\ \hline \end{longtable}"," ",0,"1/2*(2*x^2-x*2^(5*x+5)-4*2^(5*x+5))/x*ln(x)+4*ln(x)","A"
3579,1,14,21,0.033000," ","int(-8*x/(2*x*exp(ln(5/x)+6)-13),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4 x^{2}}{10 \,{\mathrm e}^{6}-13}$&$14$\\ risch&$-\frac{4 x^{2}}{10 \,{\mathrm e}^{6}-13}$&$14$\\ gosper&$-\frac{4 x^{2}}{2 x \,{\mathrm e}^{\ln \left(\frac{5}{x}\right)+6}-13}$&$22$\\ default&$-\frac{4 x^{2}}{2 \,{\mathrm e}^{6+\ln \left(\frac{5}{x}\right)+\ln \left(x \right)}-13}$&$23$\\ \hline \end{longtable}"," ",0,"-4/(10*exp(6)-13)*x^2","A"
3580,1,71,23,0.183000," ","int((((90*x*exp(4)^2-300*x*exp(4)+10*x^2+250*x)*ln(3)+2*x^3)*ln(9*exp(4)^2-30*exp(4)+x+25)+(-450*exp(4)^2+1500*exp(4)-50*x-1250)*ln(3)^2+(9900*x*exp(4)^2-33000*x*exp(4)+1090*x^2+27500*x)*ln(3)+220*x^3)/(225*x^3*exp(4)^2-750*x^3*exp(4)+25*x^4+625*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right)^{2}}{25}-\frac{2 \ln \left(3\right) \ln \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right)}{5 x}+\frac{44 x^{2} \ln \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right)+5 \ln \left(3\right)^{2}-220 x \ln \left(3\right)}{5 x^{2}}$&$71$\\ norman&$\frac{\ln \left(3\right)^{2}+\frac{44 x^{2} \ln \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right)}{5}-44 x \ln \left(3\right)+\frac{x^{2} \ln \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right)^{2}}{25}-\frac{2 \ln \left(3\right) \ln \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right) x}{5}}{x^{2}}$&$74$\\ derivativedivides&$\frac{2 \ln \left(3\right) \ln \left(-x \right)}{5 \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+25\right)}-\frac{2 \ln \left(3\right) \ln \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right) \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right)}{5 \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+25\right) x}-\frac{44 \ln \left(3\right)}{x}-\frac{2 \ln \left(3\right) \ln \left(x \right)}{5 \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+25\right)}+\frac{2 \ln \left(3\right) \ln \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right)}{5 \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+25\right)}+\frac{44 \ln \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right)}{5}+\frac{\ln \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right)^{2}}{25}+\frac{\ln \left(3\right)^{2}}{x^{2}}$&$211$\\ default&$\frac{2 \ln \left(3\right) \ln \left(-x \right)}{5 \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+25\right)}-\frac{2 \ln \left(3\right) \ln \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right) \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right)}{5 \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+25\right) x}-\frac{44 \ln \left(3\right)}{x}-\frac{2 \ln \left(3\right) \ln \left(x \right)}{5 \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+25\right)}+\frac{2 \ln \left(3\right) \ln \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right)}{5 \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+25\right)}+\frac{44 \ln \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right)}{5}+\frac{\ln \left(9 \,{\mathrm e}^{8}-30 \,{\mathrm e}^{4}+x +25\right)^{2}}{25}+\frac{\ln \left(3\right)^{2}}{x^{2}}$&$211$\\ \hline \end{longtable}"," ",0,"1/25*ln(9*exp(8)-30*exp(4)+x+25)^2-2/5*ln(3)/x*ln(9*exp(8)-30*exp(4)+x+25)+1/5*(44*x^2*ln(9*exp(8)-30*exp(4)+x+25)+5*ln(3)^2-220*x*ln(3))/x^2","B"
3581,1,18,17,0.058000," ","int(((x^2+12*x+32)*exp(x)-x^2-9*x-45)/(x^3+22*x^2+153*x+324),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-9+{\mathrm e}^{x}}{x +9}-\ln \left(4+x \right)$&$18$\\ default&$\frac{{\mathrm e}^{x}}{x +9}-\ln \left(4+x \right)-\frac{9}{x +9}$&$23$\\ risch&$\frac{{\mathrm e}^{x}}{x +9}-\ln \left(4+x \right)-\frac{9}{x +9}$&$23$\\ \hline \end{longtable}"," ",0,"(-9+exp(x))/(x+9)-ln(4+x)","A"
3582,1,16,12,0.069000," ","int((-ln(3)*exp(x)+2*ln(3))/(exp(x)^2+(6-4*x)*exp(x)+4*x^2-12*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(3\right)}{2 x -3-{\mathrm e}^{x}}$&$16$\\ risch&$-\frac{\ln \left(3\right)}{2 x -3-{\mathrm e}^{x}}$&$16$\\ \hline \end{longtable}"," ",0,"-ln(3)/(2*x-3-exp(x))","A"
3583,1,11,14,0.017000," ","int((2*x^4+x^3+25)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+x -\frac{25}{2 x^{2}}$&$11$\\ risch&$x^{2}+x -\frac{25}{2 x^{2}}$&$11$\\ norman&$\frac{x^{4}+x^{3}-\frac{25}{2}}{x^{2}}$&$13$\\ gosper&$\frac{2 x^{4}+2 x^{3}-25}{2 x^{2}}$&$18$\\ \hline \end{longtable}"," ",0,"x^2+x-25/2/x^2","A"
3584,1,16,20,0.095000," ","int((4*x*exp(x)*exp(16*exp(x)-3)^4-1)*exp(-1/16*exp(16*exp(x)-3)^4+ln(x)-3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{-\frac{{\mathrm e}^{64 \,{\mathrm e}^{x}-12}}{16}-3}$&$16$\\ \hline \end{longtable}"," ",0,"-x*exp(-1/16*exp(64*exp(x)-12)-3)","A"
3585,1,20,18,0.027000," ","int(1/20*((16*x*exp(4)+5)*ln(3)-64*x*exp(4))/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{4}+\frac{2 \,{\mathrm e}^{4} \left(-4+\ln \left(3\right)\right) x^{2}}{5 \ln \left(3\right)}$&$20$\\ risch&$\frac{2 x^{2} {\mathrm e}^{4}}{5}-\frac{8 x^{2} {\mathrm e}^{4}}{5 \ln \left(3\right)}+\frac{x}{4}$&$23$\\ gosper&$\frac{x \left(8 \,{\mathrm e}^{4} x \ln \left(3\right)-32 x \,{\mathrm e}^{4}+5 \ln \left(3\right)\right)}{20 \ln \left(3\right)}$&$25$\\ default&$\frac{\ln \left(3\right) \left(8 x^{2} {\mathrm e}^{4}+5 x \right)-32 x^{2} {\mathrm e}^{4}}{20 \ln \left(3\right)}$&$29$\\ \hline \end{longtable}"," ",0,"1/4*x+2/5*exp(4)*(-4+ln(3))/ln(3)*x^2","A"
3586,1,10,9,0.020000," ","int((3*x^2+384)/(x^3+384*x-1152),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(x^{3}+384 x -1152\right)$&$10$\\ default&$\ln \left(x^{3}+384 x -1152\right)$&$10$\\ norman&$\ln \left(x^{3}+384 x -1152\right)$&$10$\\ risch&$\ln \left(x^{3}+384 x -1152\right)$&$10$\\ \hline \end{longtable}"," ",0,"ln(x^3+384*x-1152)","A"
3587,1,27,19,0.067000," ","int(((-2*x^2-2*x)*ln(2*x)^3-10*x*ln(2*x)^2+(10*x+10)*ln(2*x)+50)*exp(((x^2+2*x+1)*ln(2*x)^2+(10*x+10)*ln(2*x)+25)/(x^2*ln(2*x)^2+10*x*ln(2*x)+25))/(x^4*ln(2*x)^3+15*x^3*ln(2*x)^2+75*x^2*ln(2*x)+125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(x \ln \left(2 x \right)+\ln \left(2 x \right)+5\right)^{2}}{\left(x \ln \left(2 x \right)+5\right)^{2}}}$&$27$\\ \hline \end{longtable}"," ",0,"exp((x*ln(2*x)+ln(2*x)+5)^2/(x*ln(2*x)+5)^2)","A"
3588,1,18,19,0.099000," ","int(((-8*x^3-16*x^2)*ln(3)+x^5+16*x+32)/(x^6+2*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{4}{x^{4}}+\frac{4 \ln \left(3\right)}{x^{2}}+\ln \left(2+x \right)$&$18$\\ norman&$\frac{-4+4 x^{2} \ln \left(3\right)}{x^{4}}+\ln \left(2+x \right)$&$19$\\ risch&$\frac{-4+4 x^{2} \ln \left(3\right)}{x^{4}}+\ln \left(2+x \right)$&$19$\\ meijerg&$-\frac{4}{x^{4}}-2 \ln \left(3\right) \left(\ln \left(1+\frac{x}{2}\right)-\ln \left(x \right)+\ln \left(2\right)-\frac{2}{x}\right)-2 \ln \left(3\right) \left(-\ln \left(1+\frac{x}{2}\right)+\ln \left(x \right)-\ln \left(2\right)-\frac{2}{x^{2}}+\frac{2}{x}\right)+\ln \left(1+\frac{x}{2}\right)$&$64$\\ \hline \end{longtable}"," ",0,"-4/x^4+4/x^2*ln(3)+ln(2+x)","A"
3589,1,29,37,0.040000," ","int(((-18*x-12)*ln(x)^2+(-3*x^4-4*x^3-4*x^2)*exp(x)*ln(x)+(3*x^3+4*x^2)*exp(x))/(27*x^4+72*x^3+48*x^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{\left(4+3 x \right) x}-\frac{x \,{\mathrm e}^{x}}{3 \left(4+3 x \right) \ln \left(x \right)}$&$29$\\ \hline \end{longtable}"," ",0,"1/(4+3*x)/x-1/3*x*exp(x)/(4+3*x)/ln(x)","A"
3590,1,24,23,0.694000," ","int((exp(5)*ln(5)*exp((2+x)*exp(5))-exp(x)*ln(5)-4*ln(2)*ln(5))/(exp((2+x)*exp(5))^2+(-2*exp(x)-8*x*ln(2)+2)*exp((2+x)*exp(5))+exp(x)^2+(8*x*ln(2)-2)*exp(x)+16*x^2*ln(2)^2-8*x*ln(2)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(5\right)}{{\mathrm e}^{x}-1-{\mathrm e}^{\left(2+x \right) {\mathrm e}^{5}}+4 x \ln \left(2\right)}$&$24$\\ risch&$\frac{\ln \left(5\right)}{{\mathrm e}^{x}-1-{\mathrm e}^{\left(2+x \right) {\mathrm e}^{5}}+4 x \ln \left(2\right)}$&$24$\\ \hline \end{longtable}"," ",0,"ln(5)/(exp(x)-1-exp((2+x)*exp(5))+4*x*ln(2))","A"
3591,1,13,17,0.030000," ","int((2*x^2-4*x+1)/(x*ln(4*x)+x^3-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x^{2}+\ln \left(4 x \right)-4 x \right)$&$13$\\ risch&$\ln \left(x^{2}+\ln \left(4 x \right)-4 x \right)$&$13$\\ \hline \end{longtable}"," ",0,"ln(x^2+ln(4*x)-4*x)","A"
3592,1,4,9,0.006000," ","int(2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{2}$&$4$\\ default&$x^{2}$&$4$\\ norman&$x^{2}$&$4$\\ risch&$x^{2}$&$4$\\ \hline \end{longtable}"," ",0,"x^2","A"
3593,1,34,29,0.123000," ","int(((-5*x^2+20*x-4)*exp(2)^2+5*x^2+12*x+4)/((8*x^2-32*x+32)*exp(2)^4+(16*x^3-48*x^2+64)*exp(2)^2+8*x^4-16*x^3-24*x^2+32*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{5 \,{\mathrm e}^{4}}{8}-\frac{5}{8}\right) x -\frac{5 \,{\mathrm e}^{4}}{4}-\frac{3}{4}}{\left(x -2\right) \left({\mathrm e}^{4}+x +1\right)}$&$34$\\ risch&$\frac{\left(\frac{5 \,{\mathrm e}^{4}}{8}-\frac{5}{8}\right) x -\frac{5 \,{\mathrm e}^{4}}{4}-\frac{3}{4}}{x \,{\mathrm e}^{4}-2 \,{\mathrm e}^{4}+x^{2}-x -2}$&$34$\\ gosper&$\frac{5 x \,{\mathrm e}^{4}-10 \,{\mathrm e}^{4}-5 x -6}{8 x \,{\mathrm e}^{4}-16 \,{\mathrm e}^{4}+8 x^{2}-8 x -16}$&$43$\\ \hline \end{longtable}"," ",0,"((5/8*exp(2)^2-5/8)*x-5/4*exp(2)^2-3/4)/(x-2)/(exp(2)^2+x+1)","A"
3594,1,21,22,0.049000," ","int(1/4*(-8*exp(-ln(2*x^2*ln(2))-exp(3)+5)+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{4}+\frac{{\mathrm e}^{-{\mathrm e}^{3}+5}}{2 x^{2} \ln \left(2\right)}$&$21$\\ default&$\frac{x}{4}+{\mathrm e}^{-\ln \left(2 x^{2} \ln \left(2\right)\right)-{\mathrm e}^{3}+5}$&$22$\\ norman&$\frac{\frac{x^{3}}{4}+\frac{{\mathrm e}^{-{\mathrm e}^{3}} {\mathrm e}^{5}}{2 \ln \left(2\right)}}{x^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"1/4*x+1/2*exp(-exp(3)+5)/x^2/ln(2)","A"
3595,1,80,29,0.062000," ","int(((200*x^5*ln(2)^2+2*(-100*x^6-50*x^5)*ln(2)+50*x^7+50*x^6)*exp(x)^2+(2*(40*x^5+270*x^4-230*x^3-80*x^2)*ln(2)-40*x^6-310*x^5-40*x^4+40*x^3)*exp(x)-216*x^3-1522*x^2-648*x-64)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{216 x^{3}+761 x^{2}+216 x +16}{x^{4}}+\left(100 \ln \left(2\right)^{2}-100 x \ln \left(2\right)+25 x^{2}\right) {\mathrm e}^{2 x}+\frac{10 \left(8 x^{2} \ln \left(2\right)-4 x^{3}+54 x \ln \left(2\right)-27 x^{2}+8 \ln \left(2\right)-4 x \right) {\mathrm e}^{x}}{x^{2}}$&$80$\\ default&$\frac{16}{x^{4}}+\frac{216}{x^{3}}+\frac{761}{x^{2}}+\frac{216}{x}-\frac{40 \,{\mathrm e}^{x}}{x}-40 \,{\mathrm e}^{x} x -270 \,{\mathrm e}^{x}+80 \,{\mathrm e}^{x} \ln \left(2\right)+25 \,{\mathrm e}^{2 x} x^{2}+100 \ln \left(2\right)^{2} {\mathrm e}^{2 x}+\frac{80 \ln \left(2\right) {\mathrm e}^{x}}{x^{2}}+\frac{540 \ln \left(2\right) {\mathrm e}^{x}}{x}-100 x \ln \left(2\right) {\mathrm e}^{2 x}$&$90$\\ norman&$\frac{16+\left(-270+80 \ln \left(2\right)\right) x^{4} {\mathrm e}^{x}+\left(540 \ln \left(2\right)-40\right) x^{3} {\mathrm e}^{x}+216 x +761 x^{2}+216 x^{3}-40 x^{5} {\mathrm e}^{x}+25 x^{6} {\mathrm e}^{2 x}+80 x^{2} \ln \left(2\right) {\mathrm e}^{x}+100 x^{4} \ln \left(2\right)^{2} {\mathrm e}^{2 x}-100 \,{\mathrm e}^{2 x} \ln \left(2\right) x^{5}}{x^{4}}$&$93$\\ \hline \end{longtable}"," ",0,"(216*x^3+761*x^2+216*x+16)/x^4+(100*ln(2)^2-100*x*ln(2)+25*x^2)*exp(2*x)+10*(8*x^2*ln(2)-4*x^3+54*x*ln(2)-27*x^2+8*ln(2)-4*x)/x^2*exp(x)","B"
3596,1,1627,24,0.402000," ","int((((3*exp(x)+3*x)*ln(x)+3*exp(x)*x+3*x^2)*ln((25*exp(x)+25*x)*ln(x)^2+(50*exp(x)*x+50*x^2)*ln(x)+25*exp(x)*x^2+25*x^3)^2+((6*exp(x)*x+6*x)*ln(x)+(6*x^2+12*x+12)*exp(x)+18*x^2+12*x)*ln((25*exp(x)+25*x)*ln(x)^2+(50*exp(x)*x+50*x^2)*ln(x)+25*exp(x)*x^2+25*x^3))/((2*exp(x)+2*x)*ln(x)+2*exp(x)*x+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$1627$\\ \hline \end{longtable}"," ",0,"12*ln(5)*x*ln(x+ln(x))+3/2*Pi^2*x*csgn(I*(x+ln(x)))*csgn(I*(x+ln(x))^2)^2*csgn(I*(exp(x)+x)*(x+ln(x))^2)^3-3/4*Pi^2*x*csgn(I*(x+ln(x))^2)^4*csgn(I*(exp(x)+x))*csgn(I*(exp(x)+x)*(x+ln(x))^2)+3/4*Pi^2*x*csgn(I*(x+ln(x))^2)^3*csgn(I*(exp(x)+x))*csgn(I*(exp(x)+x)*(x+ln(x))^2)^2-3/4*Pi^2*x*csgn(I*(x+ln(x))^2)^3*csgn(I*(exp(x)+x)*(x+ln(x))^2)^3-3/8*Pi^2*x*csgn(I*(x+ln(x))^2)^2*csgn(I*(exp(x)+x))^2*csgn(I*(exp(x)+x)*(x+ln(x))^2)^2+3/4*Pi^2*x*csgn(I*(x+ln(x))^2)^2*csgn(I*(exp(x)+x))*csgn(I*(exp(x)+x)*(x+ln(x))^2)^3+3/4*Pi^2*x*csgn(I*(x+ln(x))^2)*csgn(I*(exp(x)+x))^2*csgn(I*(exp(x)+x)*(x+ln(x))^2)^3-3/2*Pi^2*x*csgn(I*(x+ln(x))^2)*csgn(I*(exp(x)+x))*csgn(I*(exp(x)+x)*(x+ln(x))^2)^4+3/4*Pi^2*x*csgn(I*(x+ln(x))^2)*csgn(I*(exp(x)+x)*(x+ln(x))^2)^5+3/4*Pi^2*x*csgn(I*(exp(x)+x))*csgn(I*(exp(x)+x)*(x+ln(x))^2)^5-3*I*ln(5)*Pi*x*csgn(I*(exp(x)+x)*(x+ln(x))^2)^3-3*I*ln(5)*Pi*x*csgn(I*(x+ln(x))^2)^3-3*I*Pi*x*csgn(I*(exp(x)+x)*(x+ln(x))^2)^3*ln(x+ln(x))-3*I*Pi*x*csgn(I*(x+ln(x))^2)^3*ln(x+ln(x))+3/4*Pi^2*x*csgn(I*(x+ln(x)))^2*csgn(I*(x+ln(x))^2)^2*csgn(I*(exp(x)+x)*(x+ln(x))^2)^2-3/4*Pi^2*x*csgn(I*(x+ln(x)))^2*csgn(I*(x+ln(x))^2)*csgn(I*(exp(x)+x)*(x+ln(x))^2)^3-3/2*Pi^2*x*csgn(I*(x+ln(x)))*csgn(I*(x+ln(x))^2)^3*csgn(I*(exp(x)+x)*(x+ln(x))^2)^2-3*I*ln(5)*Pi*x*csgn(I*(x+ln(x))^2)*csgn(I*(exp(x)+x))*csgn(I*(exp(x)+x)*(x+ln(x))^2)-3*I*Pi*x*csgn(I*(x+ln(x))^2)*csgn(I*(exp(x)+x))*csgn(I*(exp(x)+x)*(x+ln(x))^2)*ln(x+ln(x))+3/4*Pi^2*x*csgn(I*(x+ln(x)))^2*csgn(I*(x+ln(x))^2)*csgn(I*(exp(x)+x))*csgn(I*(exp(x)+x)*(x+ln(x))^2)^2+3/2*Pi^2*x*csgn(I*(x+ln(x)))*csgn(I*(x+ln(x))^2)^3*csgn(I*(exp(x)+x))*csgn(I*(exp(x)+x)*(x+ln(x))^2)-3/2*Pi^2*x*csgn(I*(x+ln(x)))*csgn(I*(x+ln(x))^2)^2*csgn(I*(exp(x)+x))*csgn(I*(exp(x)+x)*(x+ln(x))^2)^2-3/4*Pi^2*x*csgn(I*(x+ln(x)))^2*csgn(I*(x+ln(x))^2)^2*csgn(I*(exp(x)+x))*csgn(I*(exp(x)+x)*(x+ln(x))^2)-3*I*ln(5)*Pi*x*csgn(I*(x+ln(x)))^2*csgn(I*(x+ln(x))^2)+6*I*ln(5)*Pi*x*csgn(I*(x+ln(x)))*csgn(I*(x+ln(x))^2)^2+3*I*ln(5)*Pi*x*csgn(I*(x+ln(x))^2)*csgn(I*(exp(x)+x)*(x+ln(x))^2)^2+3*I*ln(5)*Pi*x*csgn(I*(exp(x)+x))*csgn(I*(exp(x)+x)*(x+ln(x))^2)^2-3*I*Pi*x*csgn(I*(x+ln(x)))^2*csgn(I*(x+ln(x))^2)*ln(x+ln(x))+3*I*Pi*x*csgn(I*(x+ln(x))^2)*csgn(I*(exp(x)+x)*(x+ln(x))^2)^2*ln(x+ln(x))+3*I*Pi*x*csgn(I*(exp(x)+x))*csgn(I*(exp(x)+x)*(x+ln(x))^2)^2*ln(x+ln(x))+6*I*Pi*x*csgn(I*(x+ln(x)))*csgn(I*(x+ln(x))^2)^2*ln(x+ln(x))-3/8*Pi^2*x*csgn(I*(exp(x)+x)*(x+ln(x))^2)^6-3/8*Pi^2*x*csgn(I*(x+ln(x))^2)^6+(6*x*ln(x+ln(x))-3/2*I*Pi*x*csgn(I*(x+ln(x)))^2*csgn(I*(x+ln(x))^2)+3*I*Pi*x*csgn(I*(x+ln(x)))*csgn(I*(x+ln(x))^2)^2-3/2*I*Pi*x*csgn(I*(x+ln(x))^2)^3-3/2*I*Pi*x*csgn(I*(x+ln(x))^2)*csgn(I*(exp(x)+x))*csgn(I*(exp(x)+x)*(x+ln(x))^2)+3/2*I*Pi*x*csgn(I*(x+ln(x))^2)*csgn(I*(exp(x)+x)*(x+ln(x))^2)^2+3/2*I*Pi*x*csgn(I*(exp(x)+x))*csgn(I*(exp(x)+x)*(x+ln(x))^2)^2-3/2*I*Pi*x*csgn(I*(exp(x)+x)*(x+ln(x))^2)^3+6*x*ln(5))*ln(exp(x)+x)+6*x*ln(x+ln(x))^2+3/2*x*ln(exp(x)+x)^2-3/8*Pi^2*x*csgn(I*(x+ln(x)))^4*csgn(I*(x+ln(x))^2)^2+3/2*Pi^2*x*csgn(I*(x+ln(x)))^3*csgn(I*(x+ln(x))^2)^3-9/4*Pi^2*x*csgn(I*(x+ln(x)))^2*csgn(I*(x+ln(x))^2)^4+3/2*Pi^2*x*csgn(I*(x+ln(x)))*csgn(I*(x+ln(x))^2)^5+3/4*Pi^2*x*csgn(I*(x+ln(x))^2)^4*csgn(I*(exp(x)+x)*(x+ln(x))^2)^2-3/8*Pi^2*x*csgn(I*(x+ln(x))^2)^2*csgn(I*(exp(x)+x)*(x+ln(x))^2)^4-3/8*Pi^2*x*csgn(I*(exp(x)+x))^2*csgn(I*(exp(x)+x)*(x+ln(x))^2)^4+6*x*ln(5)^2","C"
3597,1,28,28,0.050000," ","int(((-10*x^2-60*x-90)*exp(4)-3*x^6-8*x^5+18*x^4-115*x^2)/(10*x^4+60*x^3+90*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{3}}{10}+\frac{x^{2}}{2}-\frac{3 x}{2}-\frac{2}{3+x}+\frac{{\mathrm e}^{4}}{x}$&$28$\\ norman&$\frac{\left(\frac{23}{2}+{\mathrm e}^{4}\right) x +\frac{x^{4}}{5}-\frac{x^{5}}{10}+3 \,{\mathrm e}^{4}}{\left(3+x \right) x}$&$31$\\ gosper&$\frac{-x^{5}+2 x^{4}+10 x \,{\mathrm e}^{4}+30 \,{\mathrm e}^{4}+115 x}{10 x \left(3+x \right)}$&$34$\\ risch&$-\frac{x^{3}}{10}+\frac{x^{2}}{2}-\frac{3 x}{2}+\frac{\frac{\left(10 \,{\mathrm e}^{4}-20\right) x}{10}+3 \,{\mathrm e}^{4}}{\left(3+x \right) x}$&$38$\\ \hline \end{longtable}"," ",0,"-1/10*x^3+1/2*x^2-3/2*x-2/(3+x)+exp(4)/x","A"
3598,1,567,18,0.245000," ","int(((2*exp(x)-2)*ln((-16*ln(exp(x)-x)+8)/ln(exp(x)-x))+(2*exp(x)-2*x)*ln(exp(x)-x)^2+(x-exp(x))*ln(exp(x)-x))/((2*exp(x)-2*x)*ln(exp(x)-x)^2+(x-exp(x))*ln(exp(x)-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)^{2}-2 \ln \left(\ln \left({\mathrm e}^{x}-x \right)\right) \ln \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)+\ln \left(\ln \left({\mathrm e}^{x}-x \right)\right)^{2}+i \ln \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right) \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left({\mathrm e}^{x}-x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)}{\ln \left({\mathrm e}^{x}-x \right)}\right)^{2}-i \ln \left(\ln \left({\mathrm e}^{x}-x \right)\right) \pi  \,\mathrm{csgn}\left(i \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)}{\ln \left({\mathrm e}^{x}-x \right)}\right)^{2}-2 i \ln \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right) \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)}{\ln \left({\mathrm e}^{x}-x \right)}\right)^{2}-2 i \ln \left(\ln \left({\mathrm e}^{x}-x \right)\right) \pi +i \ln \left(\ln \left({\mathrm e}^{x}-x \right)\right) \pi  \,\mathrm{csgn}\left(i \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left({\mathrm e}^{x}-x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)}{\ln \left({\mathrm e}^{x}-x \right)}\right)-i \ln \left(\ln \left({\mathrm e}^{x}-x \right)\right) \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left({\mathrm e}^{x}-x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)}{\ln \left({\mathrm e}^{x}-x \right)}\right)^{2}+2 i \ln \left(\ln \left({\mathrm e}^{x}-x \right)\right) \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)}{\ln \left({\mathrm e}^{x}-x \right)}\right)^{2}+i \ln \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right) \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)}{\ln \left({\mathrm e}^{x}-x \right)}\right)^{3}-i \ln \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right) \pi  \,\mathrm{csgn}\left(i \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left({\mathrm e}^{x}-x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)}{\ln \left({\mathrm e}^{x}-x \right)}\right)+2 i \ln \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right) \pi -i \ln \left(\ln \left({\mathrm e}^{x}-x \right)\right) \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)}{\ln \left({\mathrm e}^{x}-x \right)}\right)^{3}+i \ln \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right) \pi  \,\mathrm{csgn}\left(i \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right)}{\ln \left({\mathrm e}^{x}-x \right)}\right)^{2}-8 \ln \left(\ln \left({\mathrm e}^{x}-x \right)\right) \ln \left(2\right)+8 \ln \left(\ln \left({\mathrm e}^{x}-x \right)-\frac{1}{2}\right) \ln \left(2\right)+x$&$567$\\ \hline \end{longtable}"," ",0,"ln(ln(exp(x)-x)-1/2)^2-2*ln(ln(exp(x)-x))*ln(ln(exp(x)-x)-1/2)+ln(ln(exp(x)-x))^2+I*ln(ln(exp(x)-x)-1/2)*Pi*csgn(I/ln(exp(x)-x))*csgn(I/ln(exp(x)-x)*(ln(exp(x)-x)-1/2))^2-I*ln(ln(exp(x)-x))*Pi*csgn(I*(ln(exp(x)-x)-1/2))*csgn(I/ln(exp(x)-x)*(ln(exp(x)-x)-1/2))^2-2*I*ln(ln(exp(x)-x)-1/2)*Pi*csgn(I/ln(exp(x)-x)*(ln(exp(x)-x)-1/2))^2-2*I*ln(ln(exp(x)-x))*Pi+I*ln(ln(exp(x)-x))*Pi*csgn(I*(ln(exp(x)-x)-1/2))*csgn(I/ln(exp(x)-x))*csgn(I/ln(exp(x)-x)*(ln(exp(x)-x)-1/2))-I*ln(ln(exp(x)-x))*Pi*csgn(I/ln(exp(x)-x))*csgn(I/ln(exp(x)-x)*(ln(exp(x)-x)-1/2))^2+2*I*ln(ln(exp(x)-x))*Pi*csgn(I/ln(exp(x)-x)*(ln(exp(x)-x)-1/2))^2+I*ln(ln(exp(x)-x)-1/2)*Pi*csgn(I/ln(exp(x)-x)*(ln(exp(x)-x)-1/2))^3-I*ln(ln(exp(x)-x)-1/2)*Pi*csgn(I*(ln(exp(x)-x)-1/2))*csgn(I/ln(exp(x)-x))*csgn(I/ln(exp(x)-x)*(ln(exp(x)-x)-1/2))+2*I*ln(ln(exp(x)-x)-1/2)*Pi-I*ln(ln(exp(x)-x))*Pi*csgn(I/ln(exp(x)-x)*(ln(exp(x)-x)-1/2))^3+I*ln(ln(exp(x)-x)-1/2)*Pi*csgn(I*(ln(exp(x)-x)-1/2))*csgn(I/ln(exp(x)-x)*(ln(exp(x)-x)-1/2))^2-8*ln(ln(exp(x)-x))*ln(2)+8*ln(ln(exp(x)-x)-1/2)*ln(2)+x","C"
3599,1,20,25,0.161000," ","int(((2*exp(2)^2-4*exp(2)*x+2*x^2)*exp((3-x)/(exp(2)-x))-2*exp(2)+6)/(exp(2)^2-2*exp(2)*x+x^2)/exp((3-x)/(exp(2)-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -2 \,{\mathrm e}^{\frac{x -3}{{\mathrm e}^{2}-x}}$&$20$\\ norman&$\frac{\left(2 \,{\mathrm e}^{4} {\mathrm e}^{\frac{3-x}{{\mathrm e}^{2}-x}}+2 x -2 x^{2} {\mathrm e}^{\frac{3-x}{{\mathrm e}^{2}-x}}-2 \,{\mathrm e}^{2}\right) {\mathrm e}^{-\frac{3-x}{{\mathrm e}^{2}-x}}}{{\mathrm e}^{2}-x}$&$76$\\ derivativedivides&$-\left({\mathrm e}^{2}-3\right) \left(-\frac{18 \left(x -{\mathrm e}^{2}\right)}{\left({\mathrm e}^{4}-6 \,{\mathrm e}^{2}+9\right) \left({\mathrm e}^{2}-3\right)}+\frac{12 \,{\mathrm e}^{2} \left(x -{\mathrm e}^{2}\right)}{\left({\mathrm e}^{4}-6 \,{\mathrm e}^{2}+9\right) \left({\mathrm e}^{2}-3\right)}-\frac{2 \,{\mathrm e}^{4} \left(x -{\mathrm e}^{2}\right)}{\left({\mathrm e}^{4}-6 \,{\mathrm e}^{2}+9\right) \left({\mathrm e}^{2}-3\right)}-\frac{6 \,{\mathrm e}^{-1-\frac{{\mathrm e}^{2}-3}{x -{\mathrm e}^{2}}}}{{\mathrm e}^{4}-6 \,{\mathrm e}^{2}+9}+\frac{2 \,{\mathrm e}^{2} {\mathrm e}^{-1-\frac{{\mathrm e}^{2}-3}{x -{\mathrm e}^{2}}}}{{\mathrm e}^{4}-6 \,{\mathrm e}^{2}+9}\right)$&$158$\\ default&$-\left({\mathrm e}^{2}-3\right) \left(-\frac{18 \left(x -{\mathrm e}^{2}\right)}{\left({\mathrm e}^{4}-6 \,{\mathrm e}^{2}+9\right) \left({\mathrm e}^{2}-3\right)}+\frac{12 \,{\mathrm e}^{2} \left(x -{\mathrm e}^{2}\right)}{\left({\mathrm e}^{4}-6 \,{\mathrm e}^{2}+9\right) \left({\mathrm e}^{2}-3\right)}-\frac{2 \,{\mathrm e}^{4} \left(x -{\mathrm e}^{2}\right)}{\left({\mathrm e}^{4}-6 \,{\mathrm e}^{2}+9\right) \left({\mathrm e}^{2}-3\right)}-\frac{6 \,{\mathrm e}^{-1-\frac{{\mathrm e}^{2}-3}{x -{\mathrm e}^{2}}}}{{\mathrm e}^{4}-6 \,{\mathrm e}^{2}+9}+\frac{2 \,{\mathrm e}^{2} {\mathrm e}^{-1-\frac{{\mathrm e}^{2}-3}{x -{\mathrm e}^{2}}}}{{\mathrm e}^{4}-6 \,{\mathrm e}^{2}+9}\right)$&$158$\\ \hline \end{longtable}"," ",0,"2*x-2*exp((x-3)/(exp(2)-x))","A"
3600,1,21,20,0.042000," ","int((15*x^3+20*x^2+5*x+5)*exp(x^3+2*x^2+x)+16-2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x +5 \,{\mathrm e}^{x \left(x +1\right)^{2}} x -x^{2}$&$21$\\ default&$16 x +5 \,{\mathrm e}^{x^{3}+2 x^{2}+x} x -x^{2}$&$24$\\ norman&$16 x +5 \,{\mathrm e}^{x^{3}+2 x^{2}+x} x -x^{2}$&$24$\\ \hline \end{longtable}"," ",0,"16*x+5*exp(x*(x+1)^2)*x-x^2","A"
3601,1,21,20,0.161000," ","int(((-3*x^4+24*x^3-36*x^2)*exp(3/4+x)+(3*x^4-24*x^3+36*x^2)*exp(x)+60*x^3-180*x^2)/(exp(3/4+x)^2+(-2*exp(x)+10)*exp(3/4+x)+exp(x)^2-10*exp(x)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x^{3} \left(x -4\right)}{5-{\mathrm e}^{x}+{\mathrm e}^{\frac{3}{4}+x}}$&$21$\\ norman&$\frac{3 x^{4}-12 x^{3}}{{\mathrm e}^{\frac{3}{4}} {\mathrm e}^{x}-{\mathrm e}^{x}+5}$&$26$\\ \hline \end{longtable}"," ",0,"3*x^3/(5-exp(x)+exp(3/4+x))*(x-4)","A"
3602,0,0,24,0.033000," ","int((((-2*x^3+12*x^2-18*x)*ln(x)-2*x^4+16*x^3-34*x^2+12*x+18)*ln((ln(x)*(x-3)+x^2-4*x)/(x-3))+(2*x^4-182*x^3+1038*x^2-1530*x)*ln(x)+2*x^5-186*x^4+1394*x^3-2902*x^2+1002*x+1530)/((x^3-6*x^2+9*x)*ln(x)+x^4-7*x^3+12*x^2),x)","\[\int \frac{\left(\left(-2 x^{3}+12 x^{2}-18 x \right) \ln \left(x \right)-2 x^{4}+16 x^{3}-34 x^{2}+12 x +18\right) \ln \left(\frac{\ln \left(x \right) \left(x -3\right)+x^{2}-4 x}{x -3}\right)+\left(2 x^{4}-182 x^{3}+1038 x^{2}-1530 x \right) \ln \left(x \right)+2 x^{5}-186 x^{4}+1394 x^{3}-2902 x^{2}+1002 x +1530}{\left(x^{3}-6 x^{2}+9 x \right) \ln \left(x \right)+x^{4}-7 x^{3}+12 x^{2}}\, dx\]"," ",0,"int((((-2*x^3+12*x^2-18*x)*ln(x)-2*x^4+16*x^3-34*x^2+12*x+18)*ln((ln(x)*(x-3)+x^2-4*x)/(x-3))+(2*x^4-182*x^3+1038*x^2-1530*x)*ln(x)+2*x^5-186*x^4+1394*x^3-2902*x^2+1002*x+1530)/((x^3-6*x^2+9*x)*ln(x)+x^4-7*x^3+12*x^2),x)","F"
3603,1,17,19,0.031000," ","int((-3*ln(5)+27*x^4-54*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$9 x^{3}-54 x +\frac{3 \ln \left(5\right)}{x}$&$17$\\ risch&$9 x^{3}-54 x +\frac{3 \ln \left(5\right)}{x}$&$17$\\ gosper&$\frac{-54 x^{2}+9 x^{4}+3 \ln \left(5\right)}{x}$&$19$\\ norman&$\frac{-54 x^{2}+9 x^{4}+3 \ln \left(5\right)}{x}$&$20$\\ \hline \end{longtable}"," ",0,"9*x^3-54*x+3*ln(5)/x","A"
3604,1,39,16,0.046000," ","int(-3*exp(x)^3+(4*exp(4)-4*x-2)*exp(x)^2+(-exp(4)^2+(2*x+2)*exp(4)-x^2-2*x)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{3 x}+\left(2 \,{\mathrm e}^{4}-2 x \right) {\mathrm e}^{2 x}+\left(-{\mathrm e}^{8}+2 x \,{\mathrm e}^{4}-x^{2}\right) {\mathrm e}^{x}$&$39$\\ norman&$-{\mathrm e}^{3 x}-2 x \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{4} {\mathrm e}^{2 x}-{\mathrm e}^{8} {\mathrm e}^{x}-{\mathrm e}^{x} x^{2}+2 x \,{\mathrm e}^{4} {\mathrm e}^{x}$&$45$\\ default&$-2 x \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{4} {\mathrm e}^{2 x}-{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{4} {\mathrm e}^{x}-{\mathrm e}^{8} {\mathrm e}^{x}+2 \,{\mathrm e}^{4} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)-{\mathrm e}^{3 x}$&$57$\\ meijerg&$2-\frac{\left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}}{3}+\frac{\left(-4 x +2\right) {\mathrm e}^{2 x}}{2}-\left(-2 \,{\mathrm e}^{4}+2\right) \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)-{\mathrm e}^{3 x}-\left(2 \,{\mathrm e}^{4}-1\right) \left(1-{\mathrm e}^{2 x}\right)-\left(-{\mathrm e}^{8}+2 \,{\mathrm e}^{4}\right) \left(1-{\mathrm e}^{x}\right)$&$86$\\ \hline \end{longtable}"," ",0,"-exp(3*x)+(2*exp(4)-2*x)*exp(2*x)+(-exp(8)+2*x*exp(4)-x^2)*exp(x)","B"
3605,1,16,15,0.250000," ","int(((ln(x)-1)*ln(exp(3)/x)+ln(x))/ln(x)^2/ln(exp(3)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{\ln \left(\frac{{\mathrm e}^{3}}{x}\right) \ln \left(x \right)}$&$16$\\ risch&$\frac{2 i x}{\left(-2 i \ln \left(x \right)+6 i\right) \ln \left(x \right)}$&$19$\\ \hline \end{longtable}"," ",0,"x/ln(exp(3)/x)/ln(x)","A"
3606,1,22,22,0.023000," ","int((-3*x*exp(x)*exp(exp(x))+2*x*ln(x)+4*x^2+5*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x^{2}+3 x +\ln \left(x \right)-3 \,{\mathrm e}^{{\mathrm e}^{x}}+2 x \ln \left(x \right)$&$22$\\ risch&$2 x^{2}+3 x +\ln \left(x \right)-3 \,{\mathrm e}^{{\mathrm e}^{x}}+2 x \ln \left(x \right)$&$22$\\ \hline \end{longtable}"," ",0,"2*x^2+3*x+ln(x)-3*exp(exp(x))+2*x*ln(x)","A"
3607,1,32,27,0.162000," ","int((((2*exp(1)-2)*ln(2)+(4*x*exp(1)-4*x)*exp(3))*ln(5)+(-8*x^2*exp(1)+8*x^2)*exp(3))/(exp(3)*ln(5)^2-8*x*exp(3)*ln(5)+16*x^2*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(4 x^{2} {\mathrm e}^{3}+\ln \left(2\right) \ln \left(5\right)\right) \left({\mathrm e}-1\right) {\mathrm e}^{-3}}{2 \ln \left(5\right)-8 x}$&$32$\\ norman&$\frac{\left(2 \,{\mathrm e}-2\right) x^{2}+\frac{\ln \left(5\right) \ln \left(2\right) \left({\mathrm e}-1\right) {\mathrm e}^{-3}}{2}}{\ln \left(5\right)-4 x}$&$35$\\ default&$\left(2 \,{\mathrm e}-2\right) {\mathrm e}^{-3} \left(-\frac{x \,{\mathrm e}^{3}}{4}-\frac{\ln \left(5\right) \left({\mathrm e}^{3} \ln \left(5\right)+4 \ln \left(2\right)\right)}{16 \left(4 x -\ln \left(5\right)\right)}\right)$&$42$\\ risch&$-\frac{x \,{\mathrm e}}{2}+\frac{x}{2}+\frac{{\mathrm e}^{-3} \ln \left(5\right)^{2} {\mathrm e}^{4}}{8 \ln \left(5\right)-32 x}-\frac{{\mathrm e}^{-3} {\mathrm e}^{3} \ln \left(5\right)^{2}}{8 \left(\ln \left(5\right)-4 x \right)}+\frac{{\mathrm e}^{-3} \ln \left(5\right) {\mathrm e} \ln \left(2\right)}{2 \ln \left(5\right)-8 x}-\frac{{\mathrm e}^{-3} \ln \left(5\right) \ln \left(2\right)}{2 \left(\ln \left(5\right)-4 x \right)}$&$80$\\ meijerg&$\frac{2 \ln \left(2\right) \left({\mathrm e}-1\right) {\mathrm e}^{-3} x}{\ln \left(5\right) \left(1-\frac{4 x}{\ln \left(5\right)}\right)}-\frac{\left(-\frac{{\mathrm e}}{2}+\frac{1}{2}\right) \ln \left(5\right) \left(-\frac{4 x \left(-\frac{12 x}{\ln \left(5\right)}+6\right)}{3 \ln \left(5\right) \left(1-\frac{4 x}{\ln \left(5\right)}\right)}-2 \ln \left(1-\frac{4 x}{\ln \left(5\right)}\right)\right)}{4}-\frac{\left(1-{\mathrm e}\right) \ln \left(5\right) \left(\frac{4 x}{\ln \left(5\right) \left(1-\frac{4 x}{\ln \left(5\right)}\right)}+\ln \left(1-\frac{4 x}{\ln \left(5\right)}\right)\right)}{4}$&$117$\\ \hline \end{longtable}"," ",0,"1/2*(4*x^2*exp(3)+ln(2)*ln(5))*(exp(1)-1)/exp(3)/(ln(5)-4*x)","A"
3608,1,24,23,0.201000," ","int(((2*exp(x)*x+x)*ln(4/x)+(-2*x+2)*exp(x)-5)*exp((ln(4/x)-1)/(2*exp(x)+x-5))/(4*x*exp(x)^2+(4*x^2-20*x)*exp(x)+x^3-10*x^2+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{2 \ln \left(2\right)-\ln \left(x \right)-1}{2 \,{\mathrm e}^{x}+x -5}}$&$24$\\ \hline \end{longtable}"," ",0,"-exp((2*ln(2)-ln(x)-1)/(2*exp(x)+x-5))","A"
3609,1,33,25,0.171000," ","int(((25*x^2+75*x+75)*exp(2)^2+(-55*x^3-165*x^2-165*x+15)*exp(2)+30*x^4+85*x^3+80*x^2)*exp(x)/((x^2+6*x+9)*exp(2)^2+(-2*x^3-12*x^2-18*x)*exp(2)+x^4+6*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(5+25 \,{\mathrm e}^{2}\right) x \,{\mathrm e}^{x}-30 \,{\mathrm e}^{x} x^{2}}{\left(3+x \right) \left({\mathrm e}^{2}-x \right)}$&$33$\\ gosper&$\frac{5 x \left(-6 x +5 \,{\mathrm e}^{2}+1\right) {\mathrm e}^{x}}{{\mathrm e}^{2} x -x^{2}+3 \,{\mathrm e}^{2}-3 x}$&$34$\\ default&$\frac{80 \,{\mathrm e}^{x} \left(x \,{\mathrm e}^{4}+3 \,{\mathrm e}^{4}-9 \,{\mathrm e}^{2}+9 x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2} x -x^{2}+3 \,{\mathrm e}^{2}-3 x \right)}-\frac{80 \,{\mathrm e}^{2} \left(3 \,{\mathrm e}^{2}+{\mathrm e}^{4}+6\right) {\mathrm e}^{{\mathrm e}^{2}} \expIntegralEi \left(1, {\mathrm e}^{2}-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}+\frac{240 \left(-{\mathrm e}^{2}-9\right) {\mathrm e}^{-3} \expIntegralEi \left(1, -3-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}+\frac{85 \,{\mathrm e}^{x} \left(x \,{\mathrm e}^{6}+3 \,{\mathrm e}^{6}+27 \,{\mathrm e}^{2}-27 x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2} x -x^{2}+3 \,{\mathrm e}^{2}-3 x \right)}-\frac{85 \,{\mathrm e}^{2} \left({\mathrm e}^{6}+9 \,{\mathrm e}^{2}+4 \,{\mathrm e}^{4}\right) {\mathrm e}^{{\mathrm e}^{2}} \expIntegralEi \left(1, {\mathrm e}^{2}-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}-\frac{255 \left(-{\mathrm e}^{2} {\mathrm e}^{4}+{\mathrm e}^{6}-18\right) {\mathrm e}^{-3} \expIntegralEi \left(1, -3-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}+30 \,{\mathrm e}^{x}+\frac{30 \,{\mathrm e}^{x} \left(x \,{\mathrm e}^{8}+3 \,{\mathrm e}^{8}-81 \,{\mathrm e}^{2}+81 x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2} x -x^{2}+3 \,{\mathrm e}^{2}-3 x \right)}-\frac{30 \,{\mathrm e}^{2} \left(5 \,{\mathrm e}^{6}+12 \,{\mathrm e}^{4}+{\mathrm e}^{8}\right) {\mathrm e}^{{\mathrm e}^{2}} \expIntegralEi \left(1, {\mathrm e}^{2}-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}+\frac{90 \left({\mathrm e}^{2} {\mathrm e}^{6}+2 \,{\mathrm e}^{2} {\mathrm e}^{4}-2 \,{\mathrm e}^{6}+9 \,{\mathrm e}^{2}-{\mathrm e}^{8}-27\right) {\mathrm e}^{-3} \expIntegralEi \left(1, -3-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}+15 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{x} \left({\mathrm e}^{2}-2 x -3\right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2} x -x^{2}+3 \,{\mathrm e}^{2}-3 x \right)}-\frac{\left({\mathrm e}^{2}+1\right) {\mathrm e}^{{\mathrm e}^{2}} \expIntegralEi \left(1, {\mathrm e}^{2}-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}-\frac{\left({\mathrm e}^{2}+5\right) {\mathrm e}^{-3} \expIntegralEi \left(1, -3-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}\right)+75 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{x} \left({\mathrm e}^{2}-2 x -3\right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2} x -x^{2}+3 \,{\mathrm e}^{2}-3 x \right)}-\frac{\left({\mathrm e}^{2}+1\right) {\mathrm e}^{{\mathrm e}^{2}} \expIntegralEi \left(1, {\mathrm e}^{2}-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}-\frac{\left({\mathrm e}^{2}+5\right) {\mathrm e}^{-3} \expIntegralEi \left(1, -3-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}\right)+75 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{x} \left({\mathrm e}^{2} x +6 \,{\mathrm e}^{2}-3 x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2} x -x^{2}+3 \,{\mathrm e}^{2}-3 x \right)}-\frac{\left({\mathrm e}^{4}+2 \,{\mathrm e}^{2}+3\right) {\mathrm e}^{{\mathrm e}^{2}} \expIntegralEi \left(1, {\mathrm e}^{2}-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}+\frac{2 \left({\mathrm e}^{2}+6\right) {\mathrm e}^{-3} \expIntegralEi \left(1, -3-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}\right)-165 \,{\mathrm e}^{2} \left(\frac{{\mathrm e}^{x} \left(x \,{\mathrm e}^{4}+3 \,{\mathrm e}^{4}-9 \,{\mathrm e}^{2}+9 x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2} x -x^{2}+3 \,{\mathrm e}^{2}-3 x \right)}-\frac{{\mathrm e}^{2} \left(3 \,{\mathrm e}^{2}+{\mathrm e}^{4}+6\right) {\mathrm e}^{{\mathrm e}^{2}} \expIntegralEi \left(1, {\mathrm e}^{2}-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}+\frac{3 \left(-{\mathrm e}^{2}-9\right) {\mathrm e}^{-3} \expIntegralEi \left(1, -3-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}\right)+25 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{x} \left(x \,{\mathrm e}^{4}+3 \,{\mathrm e}^{4}-9 \,{\mathrm e}^{2}+9 x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2} x -x^{2}+3 \,{\mathrm e}^{2}-3 x \right)}-\frac{{\mathrm e}^{2} \left(3 \,{\mathrm e}^{2}+{\mathrm e}^{4}+6\right) {\mathrm e}^{{\mathrm e}^{2}} \expIntegralEi \left(1, {\mathrm e}^{2}-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}+\frac{3 \left(-{\mathrm e}^{2}-9\right) {\mathrm e}^{-3} \expIntegralEi \left(1, -3-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}\right)-55 \,{\mathrm e}^{2} \left(\frac{{\mathrm e}^{x} \left(x \,{\mathrm e}^{6}+3 \,{\mathrm e}^{6}+27 \,{\mathrm e}^{2}-27 x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2} x -x^{2}+3 \,{\mathrm e}^{2}-3 x \right)}-\frac{{\mathrm e}^{2} \left({\mathrm e}^{6}+9 \,{\mathrm e}^{2}+4 \,{\mathrm e}^{4}\right) {\mathrm e}^{{\mathrm e}^{2}} \expIntegralEi \left(1, {\mathrm e}^{2}-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}-\frac{3 \left(-{\mathrm e}^{2} {\mathrm e}^{4}+{\mathrm e}^{6}-18\right) {\mathrm e}^{-3} \expIntegralEi \left(1, -3-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}\right)-165 \,{\mathrm e}^{2} \left(\frac{{\mathrm e}^{x} \left({\mathrm e}^{2} x +6 \,{\mathrm e}^{2}-3 x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2} x -x^{2}+3 \,{\mathrm e}^{2}-3 x \right)}-\frac{\left({\mathrm e}^{4}+2 \,{\mathrm e}^{2}+3\right) {\mathrm e}^{{\mathrm e}^{2}} \expIntegralEi \left(1, {\mathrm e}^{2}-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}+\frac{2 \left({\mathrm e}^{2}+6\right) {\mathrm e}^{-3} \expIntegralEi \left(1, -3-x \right)}{\left(6 \,{\mathrm e}^{2}+9+{\mathrm e}^{4}\right) \left({\mathrm e}^{2}+3\right)}\right)$&$1336$\\ \hline \end{longtable}"," ",0,"((5+25*exp(2))*x*exp(x)-30*exp(x)*x^2)/(3+x)/(exp(2)-x)","A"
3610,1,79,28,0.072000," ","int((4*x^2*ln(x)^6+(-60*x^2-4*x)*ln(x)^5+(-4*x^4*exp(x^2)+308*x^2+68*x)*ln(x)^4+((40*x^4-2*x^2)*exp(x^2)-620*x^2-428*x-8)*ln(x)^3+((-108*x^4-8*x^3+30*x^2+4*x)*exp(x^2)+600*x^2+1220*x+120)*ln(x)^2+(4*x^4*exp(x^2)^2+(80*x^4+80*x^3-96*x^2-36*x)*exp(x^2)-1000*x^2-1600*x-600)*ln(x)+(-20*x^4-2*x^2)*exp(x^2)^2+(-200*x^4-200*x^3-20*x^2+80*x)*exp(x^2)+1000*x+1000)/(x^3*ln(x)^3-15*x^3*ln(x)^2+75*x^3*ln(x)-125*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{4}+\frac{4 \left(x +1\right) \ln \left(x \right)^{2}}{x}-2 \,{\mathrm e}^{x^{2}} \ln \left(x \right)-\frac{2 \left(5 x^{2} {\mathrm e}^{x^{2}}-4 x -2\right)}{x^{2}}+\frac{{\mathrm e}^{x^{2}} \left({\mathrm e}^{x^{2}} x -54 x \ln \left(x \right)+270 x -4 \ln \left(x \right)+20\right)}{\left(\ln \left(x \right)-5\right)^{2} x}$&$79$\\ \hline \end{longtable}"," ",0,"ln(x)^4+4*(x+1)/x*ln(x)^2-2*exp(x^2)*ln(x)-2*(5*x^2*exp(x^2)-4*x-2)/x^2+exp(x^2)*(exp(x^2)*x-54*x*ln(x)+270*x-4*ln(x)+20)/(ln(x)-5)^2/x","B"
3611,1,16,16,0.058000," ","int((-exp(4+x)+10*x^3-30*x^2)/exp(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -10 \,{\mathrm e}^{-x -4} x^{3}$&$16$\\ norman&$\left(-10 x^{3}-x \,{\mathrm e}^{4+x}\right) {\mathrm e}^{-x -4}$&$21$\\ derivativedivides&$-4-x +640 \,{\mathrm e}^{-x -4}-480 \,{\mathrm e}^{-x -4} \left(4+x \right)+120 \,{\mathrm e}^{-x -4} \left(4+x \right)^{2}-10 \,{\mathrm e}^{-x -4} \left(4+x \right)^{3}$&$51$\\ default&$-4-x +640 \,{\mathrm e}^{-x -4}-480 \,{\mathrm e}^{-x -4} \left(4+x \right)+120 \,{\mathrm e}^{-x -4} \left(4+x \right)^{2}-10 \,{\mathrm e}^{-x -4} \left(4+x \right)^{3}$&$51$\\ meijerg&$-\frac{{\mathrm e}^{-x +x \,{\mathrm e}^{-4}+4} \left(1-{\mathrm e}^{-x \,{\mathrm e}^{-4} \left(1-{\mathrm e}^{4}\right)}\right)}{1-{\mathrm e}^{4}}+10 \,{\mathrm e}^{12-x +x \,{\mathrm e}^{-4}} \left(6-\frac{\left(4 x^{3} {\mathrm e}^{-12}+12 x^{2} {\mathrm e}^{-8}+24 x \,{\mathrm e}^{-4}+24\right) {\mathrm e}^{-x \,{\mathrm e}^{-4}}}{4}\right)-30 \,{\mathrm e}^{8-x +x \,{\mathrm e}^{-4}} \left(2-\frac{\left(3 x^{2} {\mathrm e}^{-8}+6 x \,{\mathrm e}^{-4}+6\right) {\mathrm e}^{-x \,{\mathrm e}^{-4}}}{3}\right)$&$117$\\ \hline \end{longtable}"," ",0,"-x-10*exp(-x-4)*x^3","A"
3612,1,22,22,0.265000," ","int((27*exp(2)^2+(54*x+18)*exp(2)+27*x^2+18*x+75)/(9*exp(2)^2+18*exp(2)*x+9*x^2+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x +\ln \left(9 \,{\mathrm e}^{4}+18 \,{\mathrm e}^{2} x +9 x^{2}+25\right)$&$22$\\ risch&$3 x +\ln \left(9 \,{\mathrm e}^{4}+18 \,{\mathrm e}^{2} x +9 x^{2}+25\right)$&$22$\\ norman&$3 x +\ln \left(9 \,{\mathrm e}^{4}+18 \,{\mathrm e}^{2} x +9 x^{2}+25\right)$&$24$\\ \hline \end{longtable}"," ",0,"3*x+ln(9*exp(4)+18*exp(2)*x+9*x^2+25)","A"
3613,1,10,15,0.019000," ","int(-2/125*exp(5)+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{2 x \,{\mathrm e}^{5}}{125}+x^{2}$&$10$\\ norman&$-\frac{2 x \,{\mathrm e}^{5}}{125}+x^{2}$&$10$\\ risch&$-\frac{2 x \,{\mathrm e}^{5}}{125}+x^{2}$&$10$\\ gosper&$-\frac{x \left(-125 x +2 \,{\mathrm e}^{5}\right)}{125}$&$12$\\ \hline \end{longtable}"," ",0,"-2/125*x*exp(5)+x^2","A"
3614,1,45,28,0.158000," ","int(((36*x^6-72*x^5-144*x^4+288*x^3)*exp(x)^2+(36*x^7+36*x^6-564*x^5+708*x^4-96*x^3+144*x^2)*exp(x)+108*x^7-432*x^6+480*x^5-192*x^4+196*x^3-16*x^2+16*x+3)/(2*x^2-8*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{3}{2 \left(x -2\right)}+x^{2}+6 x^{4}+9 x^{6}+6 \,{\mathrm e}^{x} x^{3}+9 \,{\mathrm e}^{2 x} x^{4}+18 x^{5} {\mathrm e}^{x}$&$45$\\ risch&$9 x^{6}+6 x^{4}+x^{2}-\frac{3}{2 \left(x -2\right)}+9 \,{\mathrm e}^{2 x} x^{4}+\left(18 x^{5}+6 x^{3}\right) {\mathrm e}^{x}$&$45$\\ norman&$\frac{x^{3}-2 x^{2}-12 x^{4}+6 x^{5}-18 x^{6}+9 x^{7}-36 x^{5} {\mathrm e}^{x}+9 x^{5} {\mathrm e}^{2 x}+18 x^{6} {\mathrm e}^{x}-12 \,{\mathrm e}^{x} x^{3}+6 \,{\mathrm e}^{x} x^{4}-18 \,{\mathrm e}^{2 x} x^{4}-\frac{3}{2}}{x -2}$&$83$\\ \hline \end{longtable}"," ",0,"-3/2/(x-2)+x^2+6*x^4+9*x^6+6*exp(x)*x^3+9*exp(x)^2*x^4+18*x^5*exp(x)","A"
3615,1,20,20,0.161000," ","int((((1-x)*ln(3)+x^2-x)*ln(-ln(3)+x)+(-3*x^2*ln(3)+3*x^3)*exp(x)-x)/(ln(3)-x)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(-\ln \left(3\right)+x \right) x \,{\mathrm e}^{-x}-x^{3}$&$20$\\ risch&$\ln \left(-\ln \left(3\right)+x \right) x \,{\mathrm e}^{-x}-x^{3}$&$20$\\ norman&$\left(\ln \left(-\ln \left(3\right)+x \right) x -{\mathrm e}^{x} x^{3}\right) {\mathrm e}^{-x}$&$23$\\ \hline \end{longtable}"," ",0,"ln(-ln(3)+x)*x/exp(x)-x^3","A"
3616,1,27,22,0.030000," ","int((96*x^3+876*x^2+680*x-4624)/(12*x^4+83*x^3-119*x^2-1156*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 \ln \left(17+3 x \right)+4 \ln \left(x \right)+4 \ln \left(4 x^{2}+5 x -68\right)$&$27$\\ norman&$-4 \ln \left(17+3 x \right)+4 \ln \left(x \right)+4 \ln \left(4 x^{2}+5 x -68\right)$&$27$\\ risch&$-4 \ln \left(17+3 x \right)+4 \ln \left(4 x^{3}+5 x^{2}-68 x \right)$&$27$\\ \hline \end{longtable}"," ",0,"-4*ln(17+3*x)+4*ln(x)+4*ln(4*x^2+5*x-68)","A"
3617,1,19,19,0.056000," ","int(((5*x^8-30*x^5+45*x^2)*exp(x)*exp(exp(x))-100*x^3+75)/(x^8-6*x^5+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25}{x \left(x^{3}-3\right)}+5 \,{\mathrm e}^{{\mathrm e}^{x}}$&$19$\\ \hline \end{longtable}"," ",0,"25/x/(x^3-3)+5*exp(exp(x))","A"
3618,1,19,21,0.034000," ","int(((x^3+9*x^2+15*x-25)*exp(ln(x)-x)+5*x^3+50*x^2+145*x)/(4*x^3+40*x^2+100*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x \,{\mathrm e}^{-x}}{4}+\frac{5 x}{4}-\frac{5}{5+x}$&$19$\\ risch&$-\frac{x \,{\mathrm e}^{-x}}{4}+\frac{5 x}{4}-\frac{5}{5+x}$&$19$\\ norman&$\frac{\frac{5 x^{2}}{4}-\frac{145}{4}-\frac{{\mathrm e}^{\ln \left(x \right)-x} x}{4}-\frac{5 \,{\mathrm e}^{\ln \left(x \right)-x}}{4}}{5+x}$&$33$\\ \hline \end{longtable}"," ",0,"-1/4*x*exp(-x)+5/4*x-5/(5+x)","A"
3619,1,111,29,0.135000," ","int((5*ln(x)*ln(ln(x))*ln(1/5*x*ln(ln(x)))+(-2*x^3+20*x^2-51*x+5)*ln(x)*ln(ln(x))+5-x)/(2*x^2*ln(x)*ln(ln(x))*ln(1/5*x*ln(ln(x)))^2+(4*x^4-20*x^3)*ln(x)*ln(ln(x))*ln(1/5*x*ln(ln(x)))+(2*x^6-20*x^5+50*x^4)*ln(x)*ln(ln(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x -5}{x \left(-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i x \ln \left(\ln \left(x \right)\right)\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(\ln \left(x \right)\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i x \ln \left(\ln \left(x \right)\right)\right)^{2}-i \pi  \mathrm{csgn}\left(i x \ln \left(\ln \left(x \right)\right)\right)^{3}+2 x^{2}-2 \ln \left(5\right)-10 x +2 \ln \left(x \right)+2 \ln \left(\ln \left(\ln \left(x \right)\right)\right)\right)}$&$111$\\ \hline \end{longtable}"," ",0,"(x-5)/x/(-I*Pi*csgn(I*x)*csgn(I*ln(ln(x)))*csgn(I*x*ln(ln(x)))+I*Pi*csgn(I*x)*csgn(I*x*ln(ln(x)))^2+I*Pi*csgn(I*ln(ln(x)))*csgn(I*x*ln(ln(x)))^2-I*Pi*csgn(I*x*ln(ln(x)))^3+2*x^2-2*ln(5)-10*x+2*ln(x)+2*ln(ln(ln(x))))","C"
3620,1,19,18,0.073000," ","int(((5*exp(4)*exp(5)+15*exp(4))*ln(3)+(10*x+15)*exp(4)*exp(5)+(30*x+45)*exp(4))/(x^2*ln(3)^2+(2*x^3+6*x^2)*ln(3)+x^4+6*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{5 \left(3+{\mathrm e}^{5}\right) {\mathrm e}^{4}}{x \left(x +3+\ln \left(3\right)\right)}$&$19$\\ risch&$\frac{-5 \,{\mathrm e}^{9}-15 \,{\mathrm e}^{4}}{x \left(x +3+\ln \left(3\right)\right)}$&$21$\\ norman&$\frac{-5 \,{\mathrm e}^{4} {\mathrm e}^{5}-15 \,{\mathrm e}^{4}}{x \left(x +3+\ln \left(3\right)\right)}$&$23$\\ default&$5 \,{\mathrm e}^{4} \left(3+{\mathrm e}^{5}\right) \left(-\frac{1}{\left(3+\ln \left(3\right)\right) x}+\frac{1}{\left(3+\ln \left(3\right)\right) \left(x +3+\ln \left(3\right)\right)}\right)$&$35$\\ \hline \end{longtable}"," ",0,"-5*(3+exp(5))/x/(x+3+ln(3))*exp(4)","A"
3621,1,17,23,0.062000," ","int(1/3*(-2*x*exp(exp(20))+18*x^2-3)/exp(-2/3*x*exp(exp(20))+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{-\frac{x \left(-2 \,{\mathrm e}^{{\mathrm e}^{20}}+9 x \right)}{3}}$&$17$\\ gosper&$-x \,{\mathrm e}^{\frac{2 x \,{\mathrm e}^{{\mathrm e}^{20}}}{3}-3 x^{2}}$&$19$\\ norman&$-x \,{\mathrm e}^{\frac{2 x \,{\mathrm e}^{{\mathrm e}^{20}}}{3}-3 x^{2}}$&$19$\\ default&$-x \,{\mathrm e}^{\frac{2 x \,{\mathrm e}^{{\mathrm e}^{20}}}{3}-3 x^{2}}+\frac{2 \,{\mathrm e}^{{\mathrm e}^{20}} \left(-\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{{\mathrm e}^{20}}}{3}-3 x^{2}}}{6}+\frac{{\mathrm e}^{{\mathrm e}^{20}} \sqrt{\pi}\, {\mathrm e}^{\frac{{\mathrm e}^{2 \,{\mathrm e}^{20}}}{27}} \sqrt{3}\, \erf \left(\sqrt{3}\, x -\frac{{\mathrm e}^{{\mathrm e}^{20}} \sqrt{3}}{9}\right)}{54}\right)}{3}+\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{{\mathrm e}^{20}}}{3}-3 x^{2}+{\mathrm e}^{20}}}{9}-\frac{{\mathrm e}^{{\mathrm e}^{20}} \sqrt{\pi}\, {\mathrm e}^{{\mathrm e}^{20}+\frac{{\mathrm e}^{2 \,{\mathrm e}^{20}}}{27}} \sqrt{3}\, \erf \left(\sqrt{3}\, x -\frac{{\mathrm e}^{{\mathrm e}^{20}} \sqrt{3}}{9}\right)}{81}$&$127$\\ \hline \end{longtable}"," ",0,"-x*exp(-1/3*x*(-2*exp(exp(20))+9*x))","A"
3622,1,23,24,0.182000," ","int(((5*x^4+9*x^3+6*x^2)*exp(-2*x+2)-10*x^3-12*x^2)/((600*x^2+960*x+384)*exp(-2*x+2)^2+(-2400*x^2-3840*x-1536)*exp(-2*x+2)+2400*x^2+3840*x+1536),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}}{48 \left({\mathrm e}^{-2 x +2}-2\right) \left(4+5 x \right)}$&$23$\\ risch&$\frac{x^{3}}{48 \left({\mathrm e}^{-2 x +2}-2\right) \left(4+5 x \right)}$&$23$\\ \hline \end{longtable}"," ",0,"1/48*x^3/(exp(-2*x+2)-2)/(4+5*x)","A"
3623,1,32,24,0.203000," ","int(((-5*ln(2)-x^2+10*x)*exp((-2*x*ln(2)+2*x^2-x+5)/(x*ln(2)-x^2))-x^2*ln(2)^2+2*x^3*ln(2)-x^4)/(x^2*ln(2)^2-2*x^3*ln(2)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{-\frac{2 x \ln \left(2\right)-2 x^{2}+x -5}{x \left(\ln \left(2\right)-x \right)}}$&$32$\\ norman&$\frac{x^{3}-x \ln \left(2\right)^{2}+x \ln \left(2\right) {\mathrm e}^{\frac{-2 x \ln \left(2\right)+2 x^{2}-x +5}{x \ln \left(2\right)-x^{2}}}-x^{2} {\mathrm e}^{\frac{-2 x \ln \left(2\right)+2 x^{2}-x +5}{x \ln \left(2\right)-x^{2}}}}{\left(\ln \left(2\right)-x \right) x}$&$91$\\ \hline \end{longtable}"," ",0,"-x+exp(-(2*x*ln(2)-2*x^2+x-5)/x/(ln(2)-x))","A"
3624,1,29,16,0.092000," ","int(1/2401*(-512*x^5-768*x^4-768*x^3-640*x^2-288*x-48)/exp(x)^2/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{16}{2401}+\frac{128}{2401} x +\frac{384}{2401} x^{2}+\frac{512}{2401} x^{3}+\frac{256}{2401} x^{4}\right) {\mathrm e}^{-2 x}}{x^{3}}$&$29$\\ gosper&$\frac{16 \left(16 x^{4}+32 x^{3}+24 x^{2}+8 x +1\right) {\mathrm e}^{-2 x}}{2401 x^{3}}$&$30$\\ risch&$\frac{16 \left(16 x^{4}+32 x^{3}+24 x^{2}+8 x +1\right) {\mathrm e}^{-2 x}}{2401 x^{3}}$&$30$\\ default&$\frac{512 \,{\mathrm e}^{-2 x}}{2401}+\frac{256 x \,{\mathrm e}^{-2 x}}{2401}+\frac{16 \,{\mathrm e}^{-2 x}}{2401 x^{3}}+\frac{128 \,{\mathrm e}^{-2 x}}{2401 x^{2}}+\frac{384 \,{\mathrm e}^{-2 x}}{2401 x}$&$42$\\ meijerg&$\frac{48 \left(-6 x +3\right) {\mathrm e}^{-2 x}}{2401 x^{2}}+\frac{2 \left(16 x^{2}-8 x +8\right) {\mathrm e}^{-2 x}}{2401 x^{3}}+\frac{96}{2401 x^{2}}+\frac{160}{2401 x}+\frac{640 \,{\mathrm e}^{-2 x}}{2401 x}+\frac{64 \left(4 x +2\right) {\mathrm e}^{-2 x}}{2401}-\frac{24 \left(36 x^{2}-24 x +6\right)}{2401 x^{2}}-\frac{320 \left(-4 x +2\right)}{2401 x}-\frac{2 \left(-176 x^{3}+144 x^{2}-72 x +24\right)}{7203 x^{3}}+\frac{384 \,{\mathrm e}^{-2 x}}{2401}+\frac{16}{2401 x^{3}}-\frac{64}{147}$&$122$\\ \hline \end{longtable}"," ",0,"(16/2401+128/2401*x+384/2401*x^2+512/2401*x^3+256/2401*x^4)/exp(x)^2/x^3","A"
3625,1,11,10,0.093000," ","int(-64*x^3/(16*x^4-715),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\ln \left(16 x^{4}-715\right)$&$11$\\ default&$-\ln \left(16 x^{4}-715\right)$&$11$\\ norman&$-\ln \left(16 x^{4}-715\right)$&$11$\\ meijerg&$-\ln \left(1-\frac{16 x^{4}}{715}\right)$&$11$\\ risch&$-\ln \left(16 x^{4}-715\right)$&$11$\\ \hline \end{longtable}"," ",0,"-ln(16*x^4-715)","A"
3626,1,17,18,0.078000," ","int((-5*exp(x)^3+75*exp(x)^2+(-8*x^2+80*x-575)*exp(x)+625)/((x^2-10*x+25)*exp(x)^3+(-15*x^2+150*x-375)*exp(x)^2+(75*x^2-750*x+1875)*exp(x)-125*x^2+1250*x-3125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{x -5}+\frac{4}{\left({\mathrm e}^{x}-5\right)^{2}}$&$17$\\ norman&$\frac{-50 \,{\mathrm e}^{x}+4 x +5 \,{\mathrm e}^{2 x}+105}{\left({\mathrm e}^{x}-5\right)^{2} \left(x -5\right)}$&$28$\\ \hline \end{longtable}"," ",0,"5/(x-5)+4/(exp(x)-5)^2","A"
3627,1,21,19,0.036000," ","int(((-x-1)*exp(x)^2-x^2+4)/(x*exp(x)^2-x^2-2*x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\ln \left(-x \,{\mathrm e}^{2 x}+x^{2}+2 x -2\right)$&$21$\\ risch&$x -\ln \left(x \right)-\ln \left({\mathrm e}^{2 x}-\frac{x^{2}+2 x -2}{x}\right)$&$28$\\ \hline \end{longtable}"," ",0,"x-ln(-x*exp(x)^2+x^2+2*x-2)","A"
3628,1,21,18,0.026000," ","int(((x*exp(x)*ln(2*x)-2*exp(x)*x^2)*ln(2*x-ln(2*x))+1280*x*exp(x)*ln(2*x)+(-2560*x^2-2*x+1)*exp(x))/(256*x*ln(2*x)-512*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x} \ln \left(2 x -\ln \left(2 x \right)\right)}{256}+5 \,{\mathrm e}^{x}$&$21$\\ \hline \end{longtable}"," ",0,"1/256*exp(x)*ln(2*x-ln(2*x))+5*exp(x)","A"
3629,1,131,28,0.043000," ","int(((2*x^3+15*x^2)*ln(x)^3+(-8*x^5-266*x^4-2737*x^3-9715*x^2)*ln(x)^2+(6*x^7+395*x^6+9944*x^5+118800*x^4+677806*x^3+1574640*x^2)*ln(x)-7*x^7-437*x^6-10078*x^5-102960*x^4-430920*x^3-524880*x^2)/((x^2+10*x+25)*ln(x)^2+(-2*x^2-10*x)*ln(x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{3}-25 x -125\right) \ln \left(x \right)}{5+x}+\frac{-2 x^{6}-82 x^{5}-1007 x^{4}+25 x^{2} \ln \left(x \right)-3240 x^{3}+250 x \ln \left(x \right)+8375 x^{2}+625 \ln \left(x \right)+83750 x +209375}{x^{2}+10 x +25}+\frac{\left(x^{6}+82 x^{5}+2687 x^{4}+44486 x^{3}+385849 x^{2}+1629720 x +2624400\right) x^{3}}{\left(x^{2}+10 x +25\right) \left(x \ln \left(x \right)+5 \ln \left(x \right)-x \right)}$&$131$\\ \hline \end{longtable}"," ",0,"(x^3-25*x-125)/(5+x)*ln(x)+(-2*x^6-82*x^5-1007*x^4+25*x^2*ln(x)-3240*x^3+250*x*ln(x)+8375*x^2+625*ln(x)+83750*x+209375)/(x^2+10*x+25)+(x^6+82*x^5+2687*x^4+44486*x^3+385849*x^2+1629720*x+2624400)*x^3/(x^2+10*x+25)/(x*ln(x)+5*ln(x)-x)","B"
3630,1,46,24,0.032000," ","int(1/2*(-4*exp(x)^2*x^3+(4*x^5+12*x^4)*exp(x)-15*exp(5/4/x^2)-8*x^6-12*x^5+4*x^4+4*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{4}-2 x^{3}+x^{2}-{\mathrm e}^{2 x}+2 x +\frac{\left(4 x^{2}+4 x -4\right) {\mathrm e}^{x}}{2}+3 \,{\mathrm e}^{\frac{5}{4 x^{2}}}$&$46$\\ default&$-x^{4}-2 x^{3}+x^{2}+2 x -{\mathrm e}^{2 x}+3 \,{\mathrm e}^{\frac{5}{4 x^{2}}}+2 \,{\mathrm e}^{x} x -2 \,{\mathrm e}^{x}+2 \,{\mathrm e}^{x} x^{2}$&$48$\\ \hline \end{longtable}"," ",0,"-x^4-2*x^3+x^2-exp(2*x)+2*x+1/2*(4*x^2+4*x-4)*exp(x)+3*exp(5/4/x^2)","A"
3631,1,32,21,0.048000," ","int(((82*x^5-615*x^4)*ln(x)+492*x^6-4879*x^5+12095*x^4+45*x^2-450*x+1125)/(9*x^4-90*x^3+225*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{25-5 x -\frac{820 x^{4}}{9}+\frac{164 x^{5}}{9}+\frac{41 x^{4} \ln \left(x \right)}{9}}{\left(x -5\right) x}$&$32$\\ default&$\frac{164 x^{3}}{9}-\frac{5}{x}+\frac{41 x^{2} \ln \left(x \right)}{9}+\frac{205 x \ln \left(x \right)}{9}+\frac{1025 \ln \left(x \right) x}{9 \left(x -5\right)}$&$34$\\ risch&$\frac{41 \left(x^{3}-25 x +125\right) \ln \left(x \right)}{9 \left(x -5\right)}+\frac{164 x^{4}+1025 x \ln \left(x \right)-45}{9 x}$&$36$\\ \hline \end{longtable}"," ",0,"(25-5*x-820/9*x^4+164/9*x^5+41/9*x^4*ln(x))/(x-5)/x","A"
3632,1,18,19,0.155000," ","int((-80*x^3+180*x^2)*exp(3)*exp(-20*x^3*exp(3)/(2*x-3))/(12*x^2-36*x+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{-\frac{20 x^{3} {\mathrm e}^{3}}{2 x -3}}}{3}$&$18$\\ risch&$\frac{{\mathrm e}^{-\frac{20 x^{3} {\mathrm e}^{3}}{2 x -3}}}{3}$&$18$\\ norman&$\frac{\frac{2 x \,{\mathrm e}^{-\frac{20 x^{3} {\mathrm e}^{3}}{2 x -3}}}{3}-{\mathrm e}^{-\frac{20 x^{3} {\mathrm e}^{3}}{2 x -3}}}{2 x -3}$&$45$\\ \hline \end{longtable}"," ",0,"1/3*exp(-20*x^3*exp(3)/(2*x-3))","A"
3633,1,7,10,0.082000," ","int(21/(21*x-125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(21 x -125\right)$&$7$\\ norman&$\ln \left(21 x -125\right)$&$7$\\ meijerg&$\ln \left(1-\frac{21 x}{125}\right)$&$7$\\ risch&$\ln \left(21 x -125\right)$&$7$\\ \hline \end{longtable}"," ",0,"ln(21*x-125)","A"
3634,1,28,18,0.039000," ","int(1/18*(18*x^6+51*x^5+26*x^4-12*x^3-4*x^2+x)*exp(x)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{4 x} \left(3 x -1\right) \left(3 x^{3}+5 x^{2}+x -1\right) x^{2}}{36}$&$28$\\ risch&$\frac{\left(\frac{9}{2} x^{6}+6 x^{5}-x^{4}-2 x^{3}+\frac{1}{2} x^{2}\right) {\mathrm e}^{4 x}}{18}$&$33$\\ default&$\frac{x^{2} {\mathrm e}^{4 x}}{36}-\frac{x^{3} {\mathrm e}^{4 x}}{9}-\frac{x^{4} {\mathrm e}^{4 x}}{18}+\frac{x^{5} {\mathrm e}^{4 x}}{3}+\frac{x^{6} {\mathrm e}^{4 x}}{4}$&$47$\\ meijerg&$\frac{\left(28672 x^{6}-43008 x^{5}+53760 x^{4}-53760 x^{3}+40320 x^{2}-20160 x +5040\right) {\mathrm e}^{4 x}}{114688}-\frac{17 \left(-6144 x^{5}+7680 x^{4}-7680 x^{3}+5760 x^{2}-2880 x +720\right) {\mathrm e}^{4 x}}{147456}+\frac{13 \left(1280 x^{4}-1280 x^{3}+960 x^{2}-480 x +120\right) {\mathrm e}^{4 x}}{46080}+\frac{\left(-256 x^{3}+192 x^{2}-96 x +24\right) {\mathrm e}^{4 x}}{1536}-\frac{\left(48 x^{2}-24 x +6\right) {\mathrm e}^{4 x}}{864}-\frac{\left(-8 x +2\right) {\mathrm e}^{4 x}}{576}$&$143$\\ \hline \end{longtable}"," ",0,"1/36*exp(x)^4*(3*x-1)*(3*x^3+5*x^2+x-1)*x^2","A"
3635,1,676,29,6.086000," ","int((-18*x*ln(x)*ln(1/2*x/ln(x))^2+((216*x^2-36*x)*ln(x)+36*x)*ln(1/2*x/ln(x))+((-162*x+162)*exp(x)-162*x)*ln(x)*exp(exp(x)/x)+(-486*x^3+108*x^2)*ln(x)-108*x^2)/(x^3*ln(x)*ln(1/2*x/ln(x))^4-12*x^4*ln(x)*ln(1/2*x/ln(x))^3+(18*x^3*ln(x)*exp(exp(x)/x)+54*x^5*ln(x))*ln(1/2*x/ln(x))^2+(-108*x^4*ln(x)*exp(exp(x)/x)-108*x^6*ln(x))*ln(1/2*x/ln(x))+81*x^3*ln(x)*exp(exp(x)/x)^2+162*x^5*ln(x)*exp(exp(x)/x)+81*x^7*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{72}{x \left(-8 \ln \left(2\right) \ln \left(\ln \left(x \right)\right)-24 x \ln \left(\ln \left(x \right)\right)-4 \ln \left(2\right)^{2}-4 \ln \left(\ln \left(x \right)\right)^{2}-4 \ln \left(x \right)^{2}-36 x^{2}+8 \ln \left(2\right) \ln \left(x \right)+8 \ln \left(x \right) \ln \left(\ln \left(x \right)\right)-24 x \ln \left(2\right)+24 x \ln \left(x \right)-4 i \ln \left(2\right) \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}+\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}-2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{4}-4 i \ln \left(\ln \left(x \right)\right) \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}+4 i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}-12 i \pi  x \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}-36 \,{\mathrm e}^{\frac{{\mathrm e}^{x}}{x}}+\pi^{2} \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{6}-12 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)-4 i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)+4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)-4 i \ln \left(\ln \left(x \right)\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)+4 i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}+12 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}+4 i \ln \left(\ln \left(x \right)\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}+4 i \ln \left(\ln \left(x \right)\right) \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}+4 i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}+12 i \pi  x \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}-4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}-4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{5}-2 \pi^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{5}+\pi^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{4}+\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{4}\right)}$&$676$\\ \hline \end{longtable}"," ",0,"-72/x/(12*I*Pi*x*csgn(I/ln(x))*csgn(I*x/ln(x))^2-4*I*ln(x)*Pi*csgn(I*x)*csgn(I*x/ln(x))^2-4*I*ln(x)*Pi*csgn(I/ln(x))*csgn(I*x/ln(x))^2+4*I*ln(ln(x))*Pi*csgn(I*x)*csgn(I*x/ln(x))^2+4*I*ln(ln(x))*Pi*csgn(I/ln(x))*csgn(I*x/ln(x))^2+4*I*ln(2)*Pi*csgn(I*x)*csgn(I*x/ln(x))^2+4*I*ln(2)*Pi*csgn(I/ln(x))*csgn(I*x/ln(x))^2+12*I*Pi*x*csgn(I*x)*csgn(I*x/ln(x))^2-12*I*Pi*x*csgn(I*x)*csgn(I/ln(x))*csgn(I*x/ln(x))-4*I*ln(2)*Pi*csgn(I*x)*csgn(I/ln(x))*csgn(I*x/ln(x))+4*I*ln(x)*Pi*csgn(I*x)*csgn(I/ln(x))*csgn(I*x/ln(x))-4*I*ln(ln(x))*Pi*csgn(I*x)*csgn(I/ln(x))*csgn(I*x/ln(x))-8*ln(2)*ln(ln(x))-24*x*ln(ln(x))-4*ln(2)^2-4*ln(ln(x))^2-4*ln(x)^2-36*x^2+8*ln(2)*ln(x)+8*ln(x)*ln(ln(x))-24*x*ln(2)+24*x*ln(x)-4*I*ln(ln(x))*Pi*csgn(I*x/ln(x))^3+4*I*ln(x)*Pi*csgn(I*x/ln(x))^3-12*I*Pi*x*csgn(I*x/ln(x))^3-4*I*ln(2)*Pi*csgn(I*x/ln(x))^3+Pi^2*csgn(I*x)^2*csgn(I/ln(x))^2*csgn(I*x/ln(x))^2-2*Pi^2*csgn(I*x)^2*csgn(I/ln(x))*csgn(I*x/ln(x))^3-2*Pi^2*csgn(I*x)*csgn(I/ln(x))^2*csgn(I*x/ln(x))^3+4*Pi^2*csgn(I*x)*csgn(I/ln(x))*csgn(I*x/ln(x))^4-2*Pi^2*csgn(I*x)*csgn(I*x/ln(x))^5-2*Pi^2*csgn(I/ln(x))*csgn(I*x/ln(x))^5-36*exp(exp(x)/x)+Pi^2*csgn(I*x/ln(x))^6+Pi^2*csgn(I/ln(x))^2*csgn(I*x/ln(x))^4+Pi^2*csgn(I*x)^2*csgn(I*x/ln(x))^4)","C"
3636,1,22,18,0.040000," ","int(((x^5*exp(x)+x^5)*ln(x)*exp(exp(x)-3+x)+(x^5+4)*ln(x)-x^4)/x^5/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{5}-1}{x^{4}}-\ln \left(\ln \left(x \right)\right)+{\mathrm e}^{{\mathrm e}^{x}-3+x}$&$22$\\ default&$x -\frac{1}{x^{4}}+{\mathrm e}^{-3} \left({\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{x}}-{\mathrm e}^{{\mathrm e}^{x}}\right)-\ln \left(\ln \left(x \right)\right)+{\mathrm e}^{-3} {\mathrm e}^{{\mathrm e}^{x}}$&$34$\\ \hline \end{longtable}"," ",0,"(x^5-1)/x^4-ln(ln(x))+exp(exp(x)-3+x)","A"
3637,1,28,31,0.082000," ","int(((20*x^4-4*x^2)*ln(x)^2+(-40*x^4-8*x^3-8*x^2)*ln(x)+25*x^6+10*x^5-389*x^4-158*x^3-175*x^2-32*x-16)/(25*x^6+10*x^5+11*x^4+2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x \ln \left(x \right)^{2}}{5 x^{2}+x +1}+\frac{x^{2}+16}{x}$&$28$\\ norman&$\frac{16+\frac{79 x}{5}+\frac{404 x^{2}}{5}+5 x^{4}-4 x^{2} \ln \left(x \right)^{2}}{x \left(5 x^{2}+x +1\right)}$&$39$\\ \hline \end{longtable}"," ",0,"-4*x/(5*x^2+x+1)*ln(x)^2+(x^2+16)/x","A"
3638,1,23,25,0.076000," ","int((exp(2*x)^2+(-2*exp(x)+6*x^3-9*x^2+8*x-10)*exp(2*x)+exp(x)^2+(-3*x^3+9*x^2-8*x+10)*exp(x)-24*x^3+61*x^2-40*x+25)/(exp(2*x)^2+(-2*exp(x)+8*x-10)*exp(2*x)+exp(x)^2+(-8*x+10)*exp(x)+16*x^2-40*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{3 x^{3}}{4 x -5+{\mathrm e}^{2 x}-{\mathrm e}^{x}}$&$23$\\ norman&$\frac{x \,{\mathrm e}^{2 x}-\frac{5 \,{\mathrm e}^{x}}{4}+\frac{5 \,{\mathrm e}^{2 x}}{4}+4 x^{2}-3 x^{3}-{\mathrm e}^{x} x -\frac{25}{4}}{4 x -5+{\mathrm e}^{2 x}-{\mathrm e}^{x}}$&$50$\\ \hline \end{longtable}"," ",0,"x-3*x^3/(4*x-5+exp(2*x)-exp(x))","A"
3639,1,29,20,0.310000," ","int(((-8*x^2*exp(5)+2)*exp(2*x^2*exp(5))-30)*exp((10*exp(2*x^2*exp(5))+2*x-150)/(exp(2*x^2*exp(5))-15))/(exp(2*x^2*exp(5))^2-30*exp(2*x^2*exp(5))+225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{10 \,{\mathrm e}^{2 x^{2} {\mathrm e}^{5}}+2 x -150}{{\mathrm e}^{2 x^{2} {\mathrm e}^{5}}-15}}$&$29$\\ norman&$\frac{{\mathrm e}^{2 x^{2} {\mathrm e}^{5}} {\mathrm e}^{\frac{10 \,{\mathrm e}^{2 x^{2} {\mathrm e}^{5}}+2 x -150}{{\mathrm e}^{2 x^{2} {\mathrm e}^{5}}-15}}-15 \,{\mathrm e}^{\frac{10 \,{\mathrm e}^{2 x^{2} {\mathrm e}^{5}}+2 x -150}{{\mathrm e}^{2 x^{2} {\mathrm e}^{5}}-15}}}{{\mathrm e}^{2 x^{2} {\mathrm e}^{5}}-15}$&$84$\\ \hline \end{longtable}"," ",0,"exp(2*(5*exp(2*x^2*exp(5))+x-75)/(exp(2*x^2*exp(5))-15))","A"
3640,1,74,29,0.072000," ","int(((2*x*exp(-x^2*ln(x)+x)-4*x^4*ln(x)-2*x^4+2*x^3-2*x^2)*exp(x/exp(-x^2*ln(x)+x))+(2*x^3+6*x)*exp(-x^2*ln(x)+x))*exp(x^2/(exp(x/exp(-x^2*ln(x)+x))^2+(-2*x^2+6)*exp(x/exp(-x^2*ln(x)+x))+x^4-6*x^2+9))/(exp(-x^2*ln(x)+x)*exp(x/exp(-x^2*ln(x)+x))^3+(-3*x^2+9)*exp(-x^2*ln(x)+x)*exp(x/exp(-x^2*ln(x)+x))^2+(3*x^4-18*x^2+27)*exp(-x^2*ln(x)+x)*exp(x/exp(-x^2*ln(x)+x))+(-x^6+9*x^4-27*x^2+27)*exp(-x^2*ln(x)+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{2}}{x^{4}-2 \,{\mathrm e}^{x \,x^{x^{2}} {\mathrm e}^{-x}} x^{2}-6 x^{2}+{\mathrm e}^{2 x \,x^{x^{2}} {\mathrm e}^{-x}}+6 \,{\mathrm e}^{x \,x^{x^{2}} {\mathrm e}^{-x}}+9}}$&$74$\\ \hline \end{longtable}"," ",0,"exp(x^2/(x^4-2*exp(x/(x^(-x^2))*exp(-x))*x^2-6*x^2+exp(2*x/(x^(-x^2))*exp(-x))+6*exp(x/(x^(-x^2))*exp(-x))+9))","B"
3641,1,39,26,0.411000," ","int(((16*x^6+160*x^5+400*x^4)*exp(x)^2+((40*x^3+200*x^2)*exp(1)+32*x^7+320*x^6+800*x^5-4*x^4-28*x^3-20*x^2)*exp(x)+25*exp(1)^2+(40*x^4+200*x^3+5)*exp(1)+16*x^8+160*x^7+400*x^6-12*x^4-40*x^3)/((32*x^6+320*x^5+800*x^4)*exp(x)^2+((80*x^3+400*x^2)*exp(1)+64*x^7+640*x^6+1600*x^5)*exp(x)+50*exp(1)^2+(80*x^4+400*x^3)*exp(1)+32*x^8+320*x^7+800*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{2}+\frac{x}{8 \,{\mathrm e}^{x} x^{3}+8 x^{4}+40 \,{\mathrm e}^{x} x^{2}+40 x^{3}+10 \,{\mathrm e}}$&$39$\\ norman&$\frac{\left(\frac{1}{2}+\frac{5 \,{\mathrm e}}{2}\right) x -50 x^{3}-50 \,{\mathrm e}^{x} x^{2}+2 x^{5}+2 \,{\mathrm e}^{x} x^{4}-\frac{25 \,{\mathrm e}}{2}}{4 \,{\mathrm e}^{x} x^{3}+4 x^{4}+20 \,{\mathrm e}^{x} x^{2}+20 x^{3}+5 \,{\mathrm e}}$&$70$\\ \hline \end{longtable}"," ",0,"1/2*x+1/2*x/(4*exp(x)*x^3+4*x^4+20*exp(x)*x^2+20*x^3+5*exp(1))","A"
3642,1,28,23,0.112000," ","int((10*x*exp(exp(3))*ln(3*x^2)^2-56*x*exp(exp(3))*ln(3*x^2)+74*x*exp(exp(3)))/(ln(3*x^2)^2-6*ln(3*x^2)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x^{2} {\mathrm e}^{{\mathrm e}^{3}}+\frac{2 x^{2} {\mathrm e}^{{\mathrm e}^{3}}}{\ln \left(3 x^{2}\right)-3}$&$28$\\ default&$\frac{{\mathrm e}^{{\mathrm e}^{3}} x^{2} \left(5 \ln \left(x^{2}\right)-13+5 \ln \left(3\right)\right)}{\ln \left(3\right)+\ln \left(x^{2}\right)-3}$&$30$\\ norman&$\frac{-13 x^{2} {\mathrm e}^{{\mathrm e}^{3}}+5 x^{2} {\mathrm e}^{{\mathrm e}^{3}} \ln \left(3 x^{2}\right)}{\ln \left(3 x^{2}\right)-3}$&$35$\\ \hline \end{longtable}"," ",0,"5*x^2*exp(exp(3))+2*x^2*exp(exp(3))/(ln(3*x^2)-3)","A"
3643,1,26,22,0.026000," ","int((3*x^2-2*x)*ln(x)+4*exp(x)+x^2-3*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{3}-x^{2}\right) \ln \left(x \right)-x^{2}+4 \,{\mathrm e}^{x}-x$&$26$\\ default&$-x +x^{3} \ln \left(x \right)-x^{2} \ln \left(x \right)-x^{2}+4 \,{\mathrm e}^{x}$&$27$\\ norman&$-x +x^{3} \ln \left(x \right)-x^{2} \ln \left(x \right)-x^{2}+4 \,{\mathrm e}^{x}$&$27$\\ \hline \end{longtable}"," ",0,"(x^3-x^2)*ln(x)-x^2+4*exp(x)-x","A"
3644,1,9,10,0.015000," ","int(5/2*exp(1+1/2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$5 \,{\mathrm e}^{1+\frac{x}{2}}$&$9$\\ derivativedivides&$5 \,{\mathrm e}^{1+\frac{x}{2}}$&$9$\\ default&$5 \,{\mathrm e}^{1+\frac{x}{2}}$&$9$\\ norman&$5 \,{\mathrm e}^{1+\frac{x}{2}}$&$9$\\ risch&$5 \,{\mathrm e}^{1+\frac{x}{2}}$&$9$\\ meijerg&$-5 \,{\mathrm e} \left(1-{\mathrm e}^{\frac{x}{2}}\right)$&$13$\\ \hline \end{longtable}"," ",0,"5*exp(1+1/2*x)","A"
3645,1,14,18,0.025000," ","int((x^3-2*x^2+2*x+8)/(x^3-4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +2 \ln \left(x \right)-\frac{6}{x -2}$&$14$\\ risch&$x +2 \ln \left(x \right)-\frac{6}{x -2}$&$14$\\ norman&$\frac{x^{2}-10}{x -2}+2 \ln \left(x \right)$&$17$\\ \hline \end{longtable}"," ",0,"x+2*ln(x)-6/(x-2)","A"
3646,1,169,23,0.149000," ","int((((-2*ln(x)-2*x-6)*ln(-ln(x)-3-x)-2*exp(5)*ln(x)+(-2*x-6)*exp(5))*ln((x*ln(-ln(x)-3-x)+x*exp(5))/exp(5))+(3+x+ln(x))*ln(-ln(x)-3-x)+exp(5)*ln(x)+(3+x)*exp(5)+x+1)/((x^3*ln(x)+x^4+3*x^3)*ln(-ln(x)-3-x)+x^3*exp(5)*ln(x)+(x^4+3*x^3)*exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}^{5}+\ln \left(-\ln \left(x \right)-3-x \right)\right)}{x^{2}}+\frac{-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{5}+\ln \left(-\ln \left(x \right)-3-x \right)\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{5}+\ln \left(-\ln \left(x \right)-3-x \right)\right)\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left({\mathrm e}^{5}+\ln \left(-\ln \left(x \right)-3-x \right)\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{5}+\ln \left(-\ln \left(x \right)-3-x \right)\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{5}+\ln \left(-\ln \left(x \right)-3-x \right)\right)\right)^{2}-10-i \pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{5}+\ln \left(-\ln \left(x \right)-3-x \right)\right)\right)^{3}+2 \ln \left(x \right)}{2 x^{2}}$&$169$\\ \hline \end{longtable}"," ",0,"1/x^2*ln(exp(5)+ln(-ln(x)-3-x))+1/2*(-I*Pi*csgn(I*x)*csgn(I*(exp(5)+ln(-ln(x)-3-x)))*csgn(I*x*(exp(5)+ln(-ln(x)-3-x)))+I*Pi*csgn(I*x)*csgn(I*x*(exp(5)+ln(-ln(x)-3-x)))^2+I*Pi*csgn(I*(exp(5)+ln(-ln(x)-3-x)))*csgn(I*x*(exp(5)+ln(-ln(x)-3-x)))^2-10-I*Pi*csgn(I*x*(exp(5)+ln(-ln(x)-3-x)))^3+2*ln(x))/x^2","C"
3647,1,67,27,0.095000," ","int(((((-x-2)*exp(2)^2+(2*x^2-6*x-20)*exp(2)-x^3+7*x^2-7*x-50)*exp(1/(exp(2)+5-x))+(-6*x-12)*exp(2)^2+(12*x^2-36*x-120)*exp(2)-6*x^3+48*x^2-30*x-300)*ln(2+x)^2+((-4*exp(2)^2+(8*x-40)*exp(2)-6*x^2+36*x-100)*exp(1/(exp(2)+5-x))-24*exp(2)^2+(48*x-240)*exp(2)-24*x^2+240*x-600)*ln(2+x)+((x-2)*exp(2)^2+(-2*x^2+14*x-20)*exp(2)+x^3-13*x^2+43*x-50)*exp(1/(exp(2)+5-x))+(6*x-12)*exp(2)^2+(-12*x^2+84*x-120)*exp(2)+6*x^3-72*x^2+270*x-300)/(((x^3+2*x^2)*exp(2)^2+(-2*x^4+6*x^3+20*x^2)*exp(2)+x^5-8*x^4+5*x^3+50*x^2)*exp(1/(exp(2)+5-x))^2+((12*x^3+24*x^2)*exp(2)^2+(-24*x^4+72*x^3+240*x^2)*exp(2)+12*x^5-96*x^4+60*x^3+600*x^2)*exp(1/(exp(2)+5-x))+(36*x^3+72*x^2)*exp(2)^2+(-72*x^4+216*x^3+720*x^2)*exp(2)+36*x^5-288*x^4+180*x^3+1800*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(2+x \right)^{2}}{x \left({\mathrm e}^{\frac{1}{{\mathrm e}^{2}+5-x}}+6\right)}+\frac{2 \ln \left(2+x \right)}{x \left({\mathrm e}^{\frac{1}{{\mathrm e}^{2}+5-x}}+6\right)}+\frac{1}{x \left({\mathrm e}^{\frac{1}{{\mathrm e}^{2}+5-x}}+6\right)}$&$67$\\ \hline \end{longtable}"," ",0,"1/x/(exp(1/(exp(2)+5-x))+6)*ln(2+x)^2+2/x/(exp(1/(exp(2)+5-x))+6)*ln(2+x)+1/x/(exp(1/(exp(2)+5-x))+6)","B"
3648,1,44,27,0.453000," ","int(((-2*exp(x)-x^2+x)*exp((exp(x)*ln(x^2)+(-exp(1)^2+5)*exp(x)-x)/exp(x))+9*exp(x)*x)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(9 \,{\mathrm e}^{x} x -{\mathrm e}^{x} {\mathrm e}^{\left({\mathrm e}^{x} \ln \left(x^{2}\right)+\left(5-{\mathrm e}^{2}\right) {\mathrm e}^{x}-x \right) {\mathrm e}^{-x}}\right) {\mathrm e}^{-x}$&$44$\\ norman&$\left(9 \,{\mathrm e}^{x} x -{\mathrm e}^{x} {\mathrm e}^{\left({\mathrm e}^{x} \ln \left(x^{2}\right)+\left(5-{\mathrm e}^{2}\right) {\mathrm e}^{x}-x \right) {\mathrm e}^{-x}}\right) {\mathrm e}^{-x}$&$44$\\ risch&$9 x -{\mathrm e}^{\frac{\left(-i {\mathrm e}^{x} \mathrm{csgn}\left(i x^{2}\right)^{3} \pi +2 i {\mathrm e}^{x} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right) \pi -i {\mathrm e}^{x} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2} \pi -2 \,{\mathrm e}^{2+x}+4 \,{\mathrm e}^{x} \ln \left(x \right)+10 \,{\mathrm e}^{x}-2 x \right) {\mathrm e}^{-x}}{2}}$&$89$\\ \hline \end{longtable}"," ",0,"(9*exp(x)*x-exp(x)*exp((exp(x)*ln(x^2)+(-exp(1)^2+5)*exp(x)-x)/exp(x)))/exp(x)","A"
3649,1,32,27,0.053000," ","int(((-x*ln(x)^2+(-x^3+8*x^2-15*x-4)*ln(x))*ln(ln(x))^2+(4*x*ln(x)^2+(4*x^3-32*x^2+60*x+16)*ln(x))*ln(ln(x))-4*x*ln(x)^2+(-4*x^3+32*x^2-60*x-16)*ln(x)+(x^2-8*x+16)*ln(3)^2)/((x^3-8*x^2+16*x)*ln(x)*ln(ln(x))^2+(-4*x^3+32*x^2-64*x)*ln(x)*ln(ln(x))+(4*x^3-32*x^2+64*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(3\right)^{2}}{\ln \left(\ln \left(x \right)\right)-2}+\frac{x \ln \left(x \right)}{4 x -16}-x -\frac{\ln \left(x \right)}{4}$&$32$\\ risch&$-\frac{x^{2}-4 x -\ln \left(x \right)}{x -4}-\frac{\ln \left(3\right)^{2}}{\ln \left(\ln \left(x \right)\right)-2}$&$33$\\ \hline \end{longtable}"," ",0,"-ln(3)^2/(ln(ln(x))-2)+1/4*ln(x)*x/(x-4)-x-1/4*ln(x)","A"
3650,1,15,14,0.108000," ","int(((x^2+2*x+1)*ln(3*x)+x^2+2*x-2)/(x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{x +1}+x \ln \left(3 x \right)$&$15$\\ derivativedivides&$\frac{9}{3 x +3}+x \ln \left(3 x \right)$&$17$\\ default&$\frac{9}{3 x +3}+x \ln \left(3 x \right)$&$17$\\ norman&$\frac{x \ln \left(3 x \right)+x^{2} \ln \left(3 x \right)+3}{x +1}$&$23$\\ \hline \end{longtable}"," ",0,"3/(x+1)+x*ln(3*x)","A"
3651,1,17,25,0.018000," ","int(-20/x/ln(2*x^2/(ln(ln(5))+1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-10 \ln \left(\ln \left(\frac{2 x^{2}}{\ln \left(\ln \left(5\right)\right)+1}\right)\right)$&$17$\\ default&$-10 \ln \left(\ln \left(\frac{2 x^{2}}{\ln \left(\ln \left(5\right)\right)+1}\right)\right)$&$17$\\ norman&$-10 \ln \left(\ln \left(\frac{2 x^{2}}{\ln \left(\ln \left(5\right)\right)+1}\right)\right)$&$17$\\ risch&$-10 \ln \left(\ln \left(\frac{2 x^{2}}{\ln \left(\ln \left(5\right)\right)+1}\right)\right)$&$17$\\ \hline \end{longtable}"," ",0,"-10*ln(ln(2*x^2/(ln(ln(5))+1)))","A"
3652,1,47,21,0.121000," ","int(((-4*x^3-39*x^2-100*x-25)*ln(5/x)-x^2-10*x-25)/x^2/exp(2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x^{2}+10 x +25\right) {\mathrm e}^{-4 x} \ln \left(x \right)}{x}+\frac{\left(2 x^{2} \ln \left(5\right)+20 x \ln \left(5\right)+50 \ln \left(5\right)\right) {\mathrm e}^{-4 x}}{2 x}$&$47$\\ default&$\frac{\left(25 \ln \left(5\right)+25 \ln \left(\frac{1}{x}\right)+25 \ln \left(x \right)\right) {\mathrm e}^{-4 x}+\left(\ln \left(5\right)+\ln \left(\frac{1}{x}\right)+\ln \left(x \right)\right) x^{2} {\mathrm e}^{-4 x}+\left(10 \ln \left(5\right)+10 \ln \left(\frac{1}{x}\right)+10 \ln \left(x \right)\right) x \,{\mathrm e}^{-4 x}-25 \ln \left(x \right) {\mathrm e}^{-4 x}-10 x \,{\mathrm e}^{-4 x} \ln \left(x \right)-x^{2} {\mathrm e}^{-4 x} \ln \left(x \right)}{x}$&$92$\\ \hline \end{longtable}"," ",0,"-(x^2+10*x+25)/x*exp(-4*x)*ln(x)+1/2*(2*x^2*ln(5)+20*x*ln(5)+50*ln(5))/x*exp(-4*x)","B"
3653,1,19,22,0.250000," ","int((-8*exp(4/x)-2*x)*exp(exp(4/x))/(x*exp(4)^2*exp(exp(4/x))^2-2*x^2*exp(4)^2*exp(exp(4/x))+x^3*exp(4)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x \,{\mathrm e}^{-8}}{x -{\mathrm e}^{{\mathrm e}^{\frac{4}{x}}}}$&$19$\\ norman&$\frac{2 \,{\mathrm e}^{-8} {\mathrm e}^{{\mathrm e}^{\frac{4}{x}}}}{x -{\mathrm e}^{{\mathrm e}^{\frac{4}{x}}}}$&$27$\\ \hline \end{longtable}"," ",0,"2*x*exp(-8)/(x-exp(exp(4/x)))","A"
3654,1,41,19,0.037000," ","int(((-3*ln(x)+(14*x^2+9*x)*exp(x))*ln(ln(x)+1/3*(-14*x^2-9*x)*exp(x))+(14*x^4+23*x^3-28*x^2-9*x)*exp(x)-3*x+3)/(3*x^2*ln(x)+(-14*x^4-9*x^3)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(x \right)+\frac{\left(-14 x^{2}-9 x \right) {\mathrm e}^{x}}{3}\right)}{x}-\ln \left(\ln \left(x \right)-\frac{14 \,{\mathrm e}^{x} x^{2}}{3}-3 \,{\mathrm e}^{x} x \right)$&$41$\\ \hline \end{longtable}"," ",0,"1/x*ln(ln(x)+1/3*(-14*x^2-9*x)*exp(x))-ln(ln(x)-14/3*exp(x)*x^2-3*exp(x)*x)","B"
3655,1,131,21,0.032000," ","int(3/625*x^2*ln(x)^4+1/625*(64*x^3+64*x^2)*ln(x)^3+1/625*(480*x^4+1008*x^3+510*x^2+100*x)*ln(x)^2+1/625*(1536*x^5+4992*x^4+5280*x^3+3000*x^2+1100*x)*ln(x)+1792/625*x^6+7936/625*x^5+2592/125*x^4+496/25*x^3+351/25*x^2+24/5*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{4 x^{2} \ln \left(x \right)}{5}+\frac{2 x^{2} \ln \left(x \right)^{2}}{25}+\frac{256 x^{7}}{625}+\frac{256 x^{6}}{125}+\frac{96 x^{5}}{25}+\frac{112 x^{4}}{25}+\frac{21 x^{3}}{5}+2 x^{2}+\frac{36 x^{3} \ln \left(x \right)}{25}+\frac{256 x^{6} \ln \left(x \right)}{625}+\frac{16 x^{4} \ln \left(x \right)^{3}}{625}+\frac{4 x^{3} \ln \left(x \right)^{3}}{125}+\frac{192 x^{5} \ln \left(x \right)}{125}+\frac{x^{3} \ln \left(x \right)^{4}}{625}+\frac{48 x^{4} \ln \left(x \right)^{2}}{125}+\frac{48 x^{4} \ln \left(x \right)}{25}+\frac{96 x^{5} \ln \left(x \right)^{2}}{625}+\frac{6 x^{3} \ln \left(x \right)^{2}}{25}$&$131$\\ risch&$x +\frac{4 x^{2} \ln \left(x \right)}{5}+\frac{2 x^{2} \ln \left(x \right)^{2}}{25}+\frac{256 x^{7}}{625}+\frac{256 x^{6}}{125}+\frac{96 x^{5}}{25}+\frac{112 x^{4}}{25}+\frac{21 x^{3}}{5}+2 x^{2}+\frac{36 x^{3} \ln \left(x \right)}{25}+\frac{256 x^{6} \ln \left(x \right)}{625}+\frac{16 x^{4} \ln \left(x \right)^{3}}{625}+\frac{4 x^{3} \ln \left(x \right)^{3}}{125}+\frac{192 x^{5} \ln \left(x \right)}{125}+\frac{x^{3} \ln \left(x \right)^{4}}{625}+\frac{48 x^{4} \ln \left(x \right)^{2}}{125}+\frac{48 x^{4} \ln \left(x \right)}{25}+\frac{96 x^{5} \ln \left(x \right)^{2}}{625}+\frac{6 x^{3} \ln \left(x \right)^{2}}{25}$&$131$\\ \hline \end{longtable}"," ",0,"x+4/5*x^2*ln(x)+2/25*x^2*ln(x)^2+256/625*x^7+256/125*x^6+96/25*x^5+112/25*x^4+21/5*x^3+2*x^2+36/25*x^3*ln(x)+256/625*x^6*ln(x)+16/625*x^4*ln(x)^3+4/125*x^3*ln(x)^3+192/125*x^5*ln(x)+1/625*x^3*ln(x)^4+48/125*x^4*ln(x)^2+48/25*x^4*ln(x)+96/625*x^5*ln(x)^2+6/25*x^3*ln(x)^2","B"
3656,1,21,24,0.059000," ","int(((60*exp(x)*x^2+60)*ln(x)+(60*x^3-121*x^2-x)*exp(x)+61*x-119)/((150*exp(x)*x^2-150*x)*ln(x)+(150*x^3-300*x^2)*exp(x)-150*x^2+300*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left({\mathrm e}^{x}-\frac{1}{x}\right)}{5}-\frac{\ln \left(x +\ln \left(x \right)-2\right)}{150}$&$21$\\ norman&$-\frac{2 \ln \left(x \right)}{5}-\frac{\ln \left(x +\ln \left(x \right)-2\right)}{150}+\frac{2 \ln \left({\mathrm e}^{x} x -1\right)}{5}$&$23$\\ \hline \end{longtable}"," ",0,"2/5*ln(exp(x)-1/x)-1/150*ln(x+ln(x)-2)","A"
3657,1,20,18,0.046000," ","int(((2*x^4+20*x^3+49*x^2-10*x-25)*exp(x^2)*exp(exp(x^2)/x)+2*x^3+10*x^2)*exp(exp(exp(x^2)/x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}+10 x +25\right) {\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{x^{2}}}{x}}}$&$20$\\ \hline \end{longtable}"," ",0,"(x^2+10*x+25)*exp(exp(exp(x^2)/x))","A"
3658,1,81,26,1.558000," ","int((3072*x^11+629760*x^10+56398848*x^9+2882018304*x^8+91912863744*x^7+1873311897600*x^6+23828513280000*x^5+172947840000000*x^4+548371200000000*x^3)*exp(5)^4/((1048576*x^8+218103808*x^7+19847446528*x^6+1032067219456*x^5+33542184632320*x^4+697677440352256*x^3+9069806724579328*x^2+67375707096875008*x+218971048064843776)*exp(5)^8+(2048*x^12+417792*x^11+37285888*x^10+1901371392*x^9+60596226048*x^8+1235891404800*x^7+15753287680000*x^6+114736128000000*x^5+365580800000000*x^4)*exp(5)^4+x^16+200*x^15+17500*x^14+875000*x^13+27343750*x^12+546875000*x^11+6835937500*x^10+48828125000*x^9+152587890625*x^8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{20} \left(-\frac{3}{4} x^{4}-78 x^{3}-3042 x^{2}-52728 x -342732\right)}{x^{4} {\mathrm e}^{20}+\frac{x^{8}}{1024}+104 x^{3} {\mathrm e}^{20}+\frac{25 x^{7}}{256}+4056 x^{2} {\mathrm e}^{20}+\frac{1875 x^{6}}{512}+70304 x \,{\mathrm e}^{20}+\frac{15625 x^{5}}{256}+456976 \,{\mathrm e}^{20}+\frac{390625 x^{4}}{1024}}$&$81$\\ gosper&$-\frac{768 \left(x +26\right) \left(x^{3}+78 x^{2}+2028 x +17576\right) {\mathrm e}^{20}}{1024 x^{4} {\mathrm e}^{20}+x^{8}+106496 x^{3} {\mathrm e}^{20}+100 x^{7}+4153344 x^{2} {\mathrm e}^{20}+3750 x^{6}+71991296 x \,{\mathrm e}^{20}+62500 x^{5}+467943424 \,{\mathrm e}^{20}+390625 x^{4}}$&$89$\\ norman&$\frac{-53993472 x \,{\mathrm e}^{20}-3115008 x^{2} {\mathrm e}^{20}-79872 x^{3} {\mathrm e}^{20}-768 x^{4} {\mathrm e}^{20}-350957568 \,{\mathrm e}^{20}}{1024 x^{4} {\mathrm e}^{20}+x^{8}+106496 x^{3} {\mathrm e}^{20}+100 x^{7}+4153344 x^{2} {\mathrm e}^{20}+3750 x^{6}+71991296 x \,{\mathrm e}^{20}+62500 x^{5}+467943424 \,{\mathrm e}^{20}+390625 x^{4}}$&$109$\\ default&$384 \,{\mathrm e}^{20} \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{16}+200 \textit{\_Z}^{15}+17500 \textit{\_Z}^{14}+875000 \textit{\_Z}^{13}+\left(2048 \,{\mathrm e}^{20}+27343750\right) \textit{\_Z}^{12}+\left(417792 \,{\mathrm e}^{20}+546875000\right) \textit{\_Z}^{11}+\left(37285888 \,{\mathrm e}^{20}+6835937500\right) \textit{\_Z}^{10}+\left(1901371392 \,{\mathrm e}^{20}+48828125000\right) \textit{\_Z}^{9}+\left(1048576 \,{\mathrm e}^{40}+60596226048 \,{\mathrm e}^{20}+152587890625\right) \textit{\_Z}^{8}+\left(218103808 \,{\mathrm e}^{40}+1235891404800 \,{\mathrm e}^{20}\right) \textit{\_Z}^{7}+\left(19847446528 \,{\mathrm e}^{40}+15753287680000 \,{\mathrm e}^{20}\right) \textit{\_Z}^{6}+\left(1032067219456 \,{\mathrm e}^{40}+114736128000000 \,{\mathrm e}^{20}\right) \textit{\_Z}^{5}+\left(33542184632320 \,{\mathrm e}^{40}+365580800000000 \,{\mathrm e}^{20}\right) \textit{\_Z}^{4}+697677440352256 \,{\mathrm e}^{40} \textit{\_Z}^{3}+9069806724579328 \textit{\_Z}^{2} {\mathrm e}^{40}+67375707096875008 \,{\mathrm e}^{40} \textit{\_Z} +218971048064843776 \,{\mathrm e}^{40}\right)}{\sum}\frac{\left(\textit{\_R}^{11}+205 \textit{\_R}^{10}+18359 \textit{\_R}^{9}+938157 \textit{\_R}^{8}+29919552 \textit{\_R}^{7}+609802050 \textit{\_R}^{6}+7756677500 \textit{\_R}^{5}+56298125000 \textit{\_R}^{4}+178506250000 \textit{\_R}^{3}\right) \ln \left(x -\textit{\_R} \right)}{41015625 \textit{\_R}^{11}+1421875 \textit{\_R}^{12}+30625 \textit{\_R}^{13}+375 \textit{\_R}^{14}+2 \textit{\_R}^{15}+152587890625 \textit{\_R}^{7}+54931640625 \textit{\_R}^{8}+751953125 \textit{\_R}^{10}+8544921875 \textit{\_R}^{9}+182790400000000 \textit{\_R}^{3} {\mathrm e}^{20}+261629040132096 \textit{\_R}^{2} {\mathrm e}^{40}+1048576 \,{\mathrm e}^{40} \textit{\_R}^{7}+60596226048 \,{\mathrm e}^{20} \textit{\_R}^{7}+1081404979200 \,{\mathrm e}^{20} \textit{\_R}^{6}+574464 \,{\mathrm e}^{20} \textit{\_R}^{10}+14885584896 \,{\mathrm e}^{40} \textit{\_R}^{5}+46607360 \,{\mathrm e}^{20} \textit{\_R}^{9}+645042012160 \,{\mathrm e}^{40} \textit{\_R}^{4}+16771092316160 \,{\mathrm e}^{40} \textit{\_R}^{3}+2267451681144832 \,{\mathrm e}^{40} \textit{\_R} +3072 \,{\mathrm e}^{20} \textit{\_R}^{11}+190840832 \,{\mathrm e}^{40} \textit{\_R}^{6}+71710080000000 \textit{\_R}^{4} {\mathrm e}^{20}+2139042816 \textit{\_R}^{8} {\mathrm e}^{20}+11814965760000 \textit{\_R}^{5} {\mathrm e}^{20}+8421963387109376 \,{\mathrm e}^{40}}\right)$&$372$\\ \hline \end{longtable}"," ",0,"exp(20)*(-3/4*x^4-78*x^3-3042*x^2-52728*x-342732)/(x^4*exp(20)+1/1024*x^8+104*x^3*exp(20)+25/256*x^7+4056*x^2*exp(20)+1875/512*x^6+70304*x*exp(20)+15625/256*x^5+456976*exp(20)+390625/1024*x^4)","B"
3659,1,12,16,0.113000," ","int((-exp(3)+2*x)/(x*exp(3)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \left(-x +{\mathrm e}^{3}\right)\right)$&$12$\\ risch&$-\ln \left(-x \,{\mathrm e}^{3}+x^{2}\right)$&$13$\\ norman&$-\ln \left(x \right)-\ln \left(-x +{\mathrm e}^{3}\right)$&$15$\\ meijerg&$-\ln \left(1-x \,{\mathrm e}^{-3}\right)-\ln \left(x \right)+3-i \pi$&$21$\\ \hline \end{longtable}"," ",0,"-ln(x*(-x+exp(3)))","A"
3660,1,20,21,0.040000," ","int((x*exp(-ln(x)^2)^8+(-8*ln(x)-2*exp(x)*x+2*x^2)*exp(-ln(x)^2)^4+x*exp(x)^2+(-2*x^2-x)*exp(x)+x^3+x)/(x*exp(-ln(x)^2)^8+(-2*exp(x)*x+2*x^2)*exp(-ln(x)^2)^4+x*exp(x)^2-2*exp(x)*x^2+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{1}{{\mathrm e}^{-4 \ln \left(x \right)^{2}}-{\mathrm e}^{x}+x}$&$20$\\ \hline \end{longtable}"," ",0,"x-1/(exp(-4*ln(x)^2)-exp(x)+x)","A"
3661,1,27,25,0.174000," ","int((-96*x^3-416*x^2+160*x-4)/x/ln(x^2*exp(8*x^3+52*x^2-40*x)^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{2}{\ln \left(x^{2} {\mathrm e}^{16 x^{3}+104 x^{2}-80 x}\right)}$&$27$\\ risch&$\frac{4 i}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{8 \left(2 x^{2}+13 x -10\right) x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{8 \left(2 x^{2}+13 x -10\right) x}\right)-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{8 \left(2 x^{2}+13 x -10\right) x}\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{4 \left(2 x^{2}+13 x -10\right) x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{8 \left(2 x^{2}+13 x -10\right) x}\right)-2 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{4 \left(2 x^{2}+13 x -10\right) x}\right) \mathrm{csgn}\left(i {\mathrm e}^{8 \left(2 x^{2}+13 x -10\right) x}\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{8 \left(2 x^{2}+13 x -10\right) x}\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{8 \left(2 x^{2}+13 x -10\right) x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{8 \left(2 x^{2}+13 x -10\right) x}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{8 \left(2 x^{2}+13 x -10\right) x}\right)^{3}+4 i \ln \left(x \right)+4 i \ln \left({\mathrm e}^{4 \left(2 x^{2}+13 x -10\right) x}\right)}$&$327$\\ \hline \end{longtable}"," ",0,"2/ln(x^2*exp(8*x^3+52*x^2-40*x)^2)","A"
3662,1,36,18,0.043000," ","int(((-8*x^2-8*x)*exp(x)*ln(x)^2+(-80*x^2-80*x)*exp(x)*ln(x)+(-200*x^2-200*x)*exp(x)-30)/(16*x^3*exp(x)^2*ln(x)^2+(160*exp(x)^2*x^3-120*exp(x)*x^2)*ln(x)+400*exp(x)^2*x^3-600*exp(x)*x^2+225*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-x}}{2 x}+\frac{15 \,{\mathrm e}^{-x}}{2 x \left(4 x \,{\mathrm e}^{x} \ln \left(x \right)+20 \,{\mathrm e}^{x} x -15\right)}$&$36$\\ \hline \end{longtable}"," ",0,"1/2*exp(-x)/x+15/2/x*exp(-x)/(4*x*exp(x)*ln(x)+20*exp(x)*x-15)","A"
3663,1,33,19,0.068000," ","int(((-x*exp(ln(5/2)+2)-x^2+3*x)*ln(x)+(x^2-x+1)*exp(ln(5/2)+2)+x^3-4*x^2+3*x-2)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(x \ln \left(x \right)+\left(-\frac{5 \,{\mathrm e}^{2}}{2}+2\right) x +\left(\frac{5 \,{\mathrm e}^{2}}{2}-2\right) \ln \left(x \right)-x^{2}\right) {\mathrm e}^{-x}$&$33$\\ risch&$\frac{\left(5 \,{\mathrm e}^{2}-4+2 x \right) {\mathrm e}^{-x} \ln \left(x \right)}{2}-\frac{x \left(5 \,{\mathrm e}^{2}-4+2 x \right) {\mathrm e}^{-x}}{2}$&$35$\\ \hline \end{longtable}"," ",0,"(x*ln(x)+(-5/2*exp(2)+2)*x+(5/2*exp(2)-2)*ln(x)-x^2)/exp(x)","A"
3664,1,49,19,0.055000," ","int(((-20*x*exp(10*ln(2)-5*x-5115)^4+(-60*x^2+4*x)*exp(10*ln(2)-5*x-5115)^3+(-60*x^3+12*x^2)*exp(10*ln(2)-5*x-5115)^2+(-20*x^4+12*x^3)*exp(10*ln(2)-5*x-5115)+4*x^4)*ln(x)-4*exp(10*ln(2)-5*x-5115)^4-16*x*exp(10*ln(2)-5*x-5115)^3-24*x^2*exp(10*ln(2)-5*x-5115)^2-16*x^3*exp(10*ln(2)-5*x-5115)-4*x^4)/x/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4}+4096 x^{3} {\mathrm e}^{-5115-5 x}+6291456 x^{2} {\mathrm e}^{-10230-10 x}+4294967296 x \,{\mathrm e}^{-15345-15 x}+1099511627776 \,{\mathrm e}^{-20460-20 x}}{\ln \left(x \right)^{4}}$&$49$\\ \hline \end{longtable}"," ",0,"(x^4+4096*x^3*exp(-5115-5*x)+6291456*x^2*exp(-10230-10*x)+4294967296*x*exp(-15345-15*x)+1099511627776*exp(-20460-20*x))/ln(x)^4","B"
3665,1,14,14,0.041000," ","int((x+1)*exp(x)*exp(exp(x)*x)-25*exp(x)+25,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$25 x +{\mathrm e}^{{\mathrm e}^{x} x}-25 \,{\mathrm e}^{x}$&$14$\\ norman&$25 x +{\mathrm e}^{{\mathrm e}^{x} x}-25 \,{\mathrm e}^{x}$&$14$\\ risch&$25 x +{\mathrm e}^{{\mathrm e}^{x} x}-25 \,{\mathrm e}^{x}$&$14$\\ \hline \end{longtable}"," ",0,"25*x+exp(exp(x)*x)-25*exp(x)","A"
3666,1,18,25,0.042000," ","int(-20*exp(5*x)/(7*exp(5*x)^2-10*exp(5*x)+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left({\mathrm e}^{5 x}-1\right)+\ln \left({\mathrm e}^{5 x}-\frac{3}{7}\right)$&$18$\\ derivativedivides&$\ln \left(7 \,{\mathrm e}^{5 x}-3\right)-\ln \left({\mathrm e}^{5 x}-1\right)$&$20$\\ default&$\ln \left(7 \,{\mathrm e}^{5 x}-3\right)-\ln \left({\mathrm e}^{5 x}-1\right)$&$20$\\ norman&$\ln \left(7 \,{\mathrm e}^{5 x}-3\right)-\ln \left({\mathrm e}^{5 x}-1\right)$&$20$\\ \hline \end{longtable}"," ",0,"-ln(exp(5*x)-1)+ln(exp(5*x)-3/7)","A"
3667,1,59,25,0.047000," ","int(((8*x^2+4*x)*exp((2*ln(x)+4*x-12)/(ln(x)+2*x-4))-3*ln(x)^2+(-12*x+24)*ln(x)-12*x^2+48*x-48)/((x^2*ln(x)^2+(4*x^3-8*x^2)*ln(x)+4*x^4-16*x^3+16*x^2)*exp((2*ln(x)+4*x-12)/(ln(x)+2*x-4))+3*x*ln(x)^2+(12*x^2-24*x)*ln(x)+12*x^3-48*x^2+48*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4}{\ln \left(x \right)+2 x -4}-\frac{2 \ln \left(x \right)+4 x -12}{\ln \left(x \right)+2 x -4}+\ln \left({\mathrm e}^{\frac{2 \ln \left(x \right)+4 x -12}{\ln \left(x \right)+2 x -4}}+\frac{3}{x}\right)$&$59$\\ \hline \end{longtable}"," ",0,"-4/(ln(x)+2*x-4)-(2*ln(x)+4*x-12)/(ln(x)+2*x-4)+ln(exp(2*(ln(x)+2*x-6)/(ln(x)+2*x-4))+3/x)","B"
3668,1,14,17,0.076000," ","int((-8*x+8)/(x^2-2*x)/ln(2*x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-4 \ln \left(\ln \left(2 x^{2}-4 x \right)\right)$&$14$\\ risch&$-4 \ln \left(\ln \left(2 x^{2}-4 x \right)\right)$&$14$\\ \hline \end{longtable}"," ",0,"-4*ln(ln(2*x^2-4*x))","A"
3669,1,25,24,0.040000," ","int((-16*exp(x)*x^4-64*x^3)*exp(exp(x))-64*x^7+48*x^5+240*x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-16 x^{4} {\mathrm e}^{{\mathrm e}^{x}}+48 x^{5}+8 x^{6}-8 x^{8}$&$25$\\ norman&$-16 x^{4} {\mathrm e}^{{\mathrm e}^{x}}+48 x^{5}+8 x^{6}-8 x^{8}$&$25$\\ risch&$-16 x^{4} {\mathrm e}^{{\mathrm e}^{x}}+48 x^{5}+8 x^{6}-8 x^{8}$&$25$\\ \hline \end{longtable}"," ",0,"-16*x^4*exp(exp(x))+48*x^5+8*x^6-8*x^8","A"
3670,1,42,24,0.236000," ","int(((-40*ln(x)^2*ln(1/3*x^4)+(-40*x+160)*ln(x)^2+40*x*ln(x))*exp(ln(1/3*x^4)/x)+2*x*ln(x)*ln(1/3*x^4)+(2*x^2-8*x)*ln(x)-2*x^2)/x/ln(x)^3/exp(ln(1/3*x^4)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{40 x \,{\mathrm e}^{-\frac{\ln \left(\frac{x^{4}}{3}\right)}{x}}}{\ln \left(x \right)}+\frac{x^{2} {\mathrm e}^{-\frac{2 \ln \left(\frac{x^{4}}{3}\right)}{x}}}{\ln \left(x \right)^{2}}$&$42$\\ risch&$-\frac{40 x 3^{\frac{1}{x}} x^{-\frac{4}{x}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i x^{2}\right)^{3}-2 \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)-\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}-\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)-\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\mathrm{csgn}\left(i x^{3}\right)^{3}-\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\mathrm{csgn}\left(i x^{4}\right)^{3}\right)}{2 x}}}{\ln \left(x \right)}+\frac{x^{2} 3^{\frac{2}{x}} x^{-\frac{8}{x}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i x^{2}\right)^{3}-2 \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)-\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}-\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)-\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\mathrm{csgn}\left(i x^{3}\right)^{3}-\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\mathrm{csgn}\left(i x^{4}\right)^{3}\right)}{x}}}{\ln \left(x \right)^{2}}$&$399$\\ \hline \end{longtable}"," ",0,"-40*x/ln(x)/exp(ln(1/3*x^4)/x)+x^2*exp(-2*ln(1/3*x^4)/x)/ln(x)^2","A"
3671,1,115,31,0.309000," ","int((((-8*x^2*ln(2)+12*x+12)*exp(x)-8*x^2*ln(2)+24*x-36)*ln(x)+(-4*x^2*ln(2)+6*x+3)*exp(x)^2+(2*(-x^3+2*x^2-4*x)*ln(2)+3*x^2-3*x+3)*exp(x)+2*(-4*x^2+12*x-8)*ln(2)+12*x-36)/(8*x^2*ln(2)^2-24*x*ln(2)+18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 \,{\mathrm e}^{x} x -{\mathrm e}^{x} x^{2}-4 x \,{\mathrm e}^{x} \ln \left(x \right)}{4 x \ln \left(2\right)-6}+\frac{4}{2 x \ln \left(2\right)-3}-\frac{\ln \left(x \right) x}{\ln \left(2\right)}-\frac{3 \ln \left(x \right) x}{\ln \left(2\right) \left(2 x \ln \left(2\right)-3\right)}+\frac{6 \ln \left(x \right) x}{2 x \ln \left(2\right)-3}-\frac{3 \,{\mathrm e}^{2 x}}{8 \ln \left(2\right)^{2} \left(x -\frac{3}{2 \ln \left(2\right)}\right)}-\frac{{\mathrm e}^{2 x}}{4 \ln \left(2\right)}$&$115$\\ risch&$-\frac{\left(4 x^{2} \ln \left(2\right)^{2}+4 x \ln \left(2\right)^{2} {\mathrm e}^{x}-6 x \ln \left(2\right)-18 \ln \left(2\right)+9\right) \ln \left(x \right)}{2 \ln \left(2\right)^{2} \left(2 x \ln \left(2\right)-3\right)}+\frac{-{\mathrm e}^{x} \ln \left(2\right)^{2} x^{2}-x \ln \left(2\right)^{2} {\mathrm e}^{2 x}+12 \ln \left(2\right)^{2} \ln \left(-x \right) x +3 x \ln \left(2\right)^{2} {\mathrm e}^{x}-6 \ln \left(2\right) \ln \left(-x \right) x +8 \ln \left(2\right)^{2}-18 \ln \left(2\right) \ln \left(-x \right)+9 \ln \left(-x \right)}{2 \ln \left(2\right)^{2} \left(2 x \ln \left(2\right)-3\right)}$&$135$\\ \hline \end{longtable}"," ",0,"1/2*(3*exp(x)*x-exp(x)*x^2-4*x*exp(x)*ln(x))/(2*x*ln(2)-3)+4/(2*x*ln(2)-3)-1/ln(2)*ln(x)*x-3/ln(2)*ln(x)*x/(2*x*ln(2)-3)+6*ln(x)*x/(2*x*ln(2)-3)-3/8/ln(2)^2*exp(x)^2/(x-3/2/ln(2))-1/4/ln(2)*exp(x)^2","B"
3672,1,536,20,0.283000," ","int(((4*x-16)*ln(x-4)-90*x^2+366*x-32)*ln(-9*x^2/(ln(x-4)-45*x+2))/((x^2-4*x)*ln(x-4)-45*x^3+182*x^2-8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-i \ln \left(\ln \left(x -4\right)-45 x +2\right) \pi  \mathrm{csgn}\left(\frac{i x^{2}}{\frac{\ln \left(x -4\right)}{45}-x +\frac{2}{45}}\right)^{3}-i \ln \left(\ln \left(x -4\right)-45 x +2\right) \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\frac{\ln \left(x -4\right)}{45}-x +\frac{2}{45}}\right)^{2}+4 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \ln \left(\ln \left(x -4\right)-45 x +2\right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{\frac{\ln \left(x -4\right)}{45}-x +\frac{2}{45}}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\frac{\ln \left(x -4\right)}{45}-x +\frac{2}{45}}\right)^{2}+i \ln \left(\ln \left(x -4\right)-45 x +2\right) \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{\frac{\ln \left(x -4\right)}{45}-x +\frac{2}{45}}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\frac{\ln \left(x -4\right)}{45}-x +\frac{2}{45}}\right)+\ln \left(-\frac{\ln \left(x -4\right)}{45}+x -\frac{2}{45}\right)^{2}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(\ln \left(x -4\right)-45 x +2\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \ln \left(\ln \left(x -4\right)-45 x +2\right) \pi  \,\mathrm{csgn}\left(\frac{i}{\frac{\ln \left(x -4\right)}{45}-x +\frac{2}{45}}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\frac{\ln \left(x -4\right)}{45}-x +\frac{2}{45}}\right)^{2}+4 \ln \left(x \right)^{2}+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\frac{\ln \left(x -4\right)}{45}-x +\frac{2}{45}}\right)^{2}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{\frac{\ln \left(x -4\right)}{45}-x +\frac{2}{45}}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\frac{\ln \left(x -4\right)}{45}-x +\frac{2}{45}}\right)-4 \ln \left(x \right) \ln \left(-\frac{\ln \left(x -4\right)}{45}+x -\frac{2}{45}\right)+2 \ln \left(\ln \left(x -4\right)-45 x +2\right) \ln \left(5\right)+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i x^{2}}{\frac{\ln \left(x -4\right)}{45}-x +\frac{2}{45}}\right)^{3}+i \ln \left(\ln \left(x -4\right)-45 x +2\right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-4 \ln \left(5\right) \ln \left(x \right)$&$536$\\ \hline \end{longtable}"," ",0,"-I*ln(ln(x-4)-45*x+2)*Pi*csgn(I*x^2/(1/45*ln(x-4)-x+2/45))^3-I*ln(ln(x-4)-45*x+2)*Pi*csgn(I*x^2)*csgn(I*x^2/(1/45*ln(x-4)-x+2/45))^2+4*I*Pi*ln(x)*csgn(I*x)*csgn(I*x^2)^2+I*ln(ln(x-4)-45*x+2)*Pi*csgn(I*x^2)^3-2*I*Pi*ln(x)*csgn(I/(1/45*ln(x-4)-x+2/45))*csgn(I*x^2/(1/45*ln(x-4)-x+2/45))^2+I*ln(ln(x-4)-45*x+2)*Pi*csgn(I*x^2)*csgn(I/(1/45*ln(x-4)-x+2/45))*csgn(I*x^2/(1/45*ln(x-4)-x+2/45))+ln(-1/45*ln(x-4)+x-2/45)^2-2*I*Pi*ln(x)*csgn(I*x)^2*csgn(I*x^2)-2*I*Pi*ln(x)*csgn(I*x^2)^3-2*I*ln(ln(x-4)-45*x+2)*Pi*csgn(I*x)*csgn(I*x^2)^2+I*ln(ln(x-4)-45*x+2)*Pi*csgn(I/(1/45*ln(x-4)-x+2/45))*csgn(I*x^2/(1/45*ln(x-4)-x+2/45))^2+4*ln(x)^2+2*I*Pi*ln(x)*csgn(I*x^2)*csgn(I*x^2/(1/45*ln(x-4)-x+2/45))^2-2*I*Pi*ln(x)*csgn(I*x^2)*csgn(I/(1/45*ln(x-4)-x+2/45))*csgn(I*x^2/(1/45*ln(x-4)-x+2/45))-4*ln(x)*ln(-1/45*ln(x-4)+x-2/45)+2*ln(ln(x-4)-45*x+2)*ln(5)+2*I*Pi*ln(x)*csgn(I*x^2/(1/45*ln(x-4)-x+2/45))^3+I*ln(ln(x-4)-45*x+2)*Pi*csgn(I*x)^2*csgn(I*x^2)-4*ln(5)*ln(x)","C"
3673,1,7,12,0.016000," ","int((ln(x)-1)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{\ln \left(x \right)}$&$7$\\ norman&$\frac{x}{\ln \left(x \right)}$&$7$\\ risch&$\frac{x}{\ln \left(x \right)}$&$7$\\ \hline \end{longtable}"," ",0,"x/ln(x)","A"
3674,1,27,26,0.152000," ","int((36*x^4-360*x^3+1152*x^2-1152*x-1)*exp(9*x^4-72*x^3+144*x^2)/((x^2-8*x+16)*ln(2*ln(2))+2*x^2-16*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{9 \left(x -4\right)^{2} x^{2}}}{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)+2\right) \left(x -4\right)}$&$27$\\ norman&$\frac{{\mathrm e}^{9 x^{4}-72 x^{3}+144 x^{2}}}{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)+2\right) \left(x -4\right)}$&$33$\\ gosper&$\frac{{\mathrm e}^{9 x^{4}-72 x^{3}+144 x^{2}}}{x \ln \left(2 \ln \left(2\right)\right)-4 \ln \left(2 \ln \left(2\right)\right)+2 x -8}$&$40$\\ \hline \end{longtable}"," ",0,"1/(ln(2)+ln(ln(2))+2)*exp(9*(x-4)^2*x^2)/(x-4)","A"
3675,1,33,33,0.062000," ","int((2*(3*x^3-27*x-30)*ln(2)+36*x^5+120*x^4+105*x^3+18*x^2+15*x)/(18*x^5+60*x^4+50*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{3 \left(-\frac{\ln \left(2\right)}{3}-\frac{5}{18}\right) x^{2}-\frac{3 x}{2}+3 \ln \left(2\right)}{x^{2} \left(3 x +5\right)}$&$33$\\ norman&$\frac{\left(-\frac{35}{2}-\ln \left(2\right)\right) x^{2}-\frac{3 x}{2}+6 x^{4}+3 \ln \left(2\right)}{x^{2} \left(3 x +5\right)}$&$35$\\ gosper&$-\frac{-12 x^{4}+2 x^{2} \ln \left(2\right)+35 x^{2}-6 \ln \left(2\right)+3 x}{2 x^{2} \left(3 x +5\right)}$&$38$\\ default&$2 x +\frac{3 \ln \left(2\right)}{5 x^{2}}-\frac{3 \left(\frac{6 \ln \left(2\right)}{25}+\frac{1}{5}\right)}{2 x}-\frac{3 \left(-\frac{4 \ln \left(2\right)}{75}-\frac{2}{45}\right)}{2 \left(3 x +5\right)}$&$38$\\ \hline \end{longtable}"," ",0,"2*x+3*((-1/3*ln(2)-5/18)*x^2-1/2*x+ln(2))/x^2/(3*x+5)","A"
3676,1,69,26,0.108000," ","int((50*x*ln(x)^2*ln(x^2)^2+(-300*x*ln(x)^2+50*x-50)*ln(x^2)+450*x*ln(x)^2+(100*x-100)*ln(x)-150*x+150)/((x^2-x)*ln(x)^2*ln(x^2)^2+(-6*x^2+6*x)*ln(x)^2*ln(x^2)+(9*x^2-9*x)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$50 \ln \left(x -1\right)-\frac{100 i}{\left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)-6 i\right) \ln \left(x \right)}$&$69$\\ \hline \end{longtable}"," ",0,"50*ln(x-1)-100*I/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)-6*I)/ln(x)","C"
3677,1,22,19,0.073000," ","int(1/3*((15*exp(1)+2280*x+30)*exp(76*x^2)-10*x*exp(1)-20*x-10)*exp(x*exp(1)+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-10 x +15 \,{\mathrm e}^{76 x^{2}}\right) {\mathrm e}^{x \left({\mathrm e}+2\right)}}{3}$&$22$\\ norman&$-\frac{10 x \,{\mathrm e}^{x \,{\mathrm e}+2 x}}{3}+5 \,{\mathrm e}^{76 x^{2}} {\mathrm e}^{x \,{\mathrm e}+2 x}$&$31$\\ default&$-\frac{10 \,{\mathrm e}^{x \,{\mathrm e}+2 x}}{3 \left({\mathrm e}+2\right)}-\frac{20 \left({\mathrm e}^{x \left({\mathrm e}+2\right)} \left({\mathrm e}+2\right) x -{\mathrm e}^{x \left({\mathrm e}+2\right)}\right)}{3 \left({\mathrm e}+2\right)^{2}}-\frac{5 i \sqrt{\pi}\, {\mathrm e}^{-\frac{\left({\mathrm e}+2\right)^{2}}{304}} \sqrt{19}\, \erf \left(2 i \sqrt{19}\, x +\frac{i \left({\mathrm e}+2\right) \sqrt{19}}{76}\right)}{38}-\frac{10 \left({\mathrm e}^{1+x \left({\mathrm e}+2\right)} \left(1+x \left({\mathrm e}+2\right)\right)-2 \,{\mathrm e}^{1+x \left({\mathrm e}+2\right)}\right)}{3 \left({\mathrm e}+2\right)^{2}}+5 \,{\mathrm e}^{76 x^{2}+x \left({\mathrm e}+2\right)}+\frac{5 i \left({\mathrm e}+2\right) \sqrt{\pi}\, {\mathrm e}^{-\frac{\left({\mathrm e}+2\right)^{2}}{304}} \sqrt{19}\, \erf \left(2 i \sqrt{19}\, x +\frac{i \left({\mathrm e}+2\right) \sqrt{19}}{76}\right)}{76}-\frac{5 i \sqrt{\pi}\, {\mathrm e}^{1-\frac{\left({\mathrm e}+2\right)^{2}}{304}} \sqrt{19}\, \erf \left(2 i \sqrt{19}\, x +\frac{i \left({\mathrm e}+2\right) \sqrt{19}}{76}\right)}{76}$&$220$\\ \hline \end{longtable}"," ",0,"1/3*(-10*x+15*exp(76*x^2))*exp(x*(exp(1)+2))","A"
3678,1,46,25,0.075000," ","int(((-144*x^6-576*x^5-864*x^4-576*x^3-144*x^2)*exp(5-exp(x))^4+((-12*x^4-24*x^3-12*x^2)*exp(x)+24*x^3+36*x^2+12*x)*exp(5-exp(x))^2)/((576*x^6+2304*x^5+3456*x^4+2304*x^3+576*x^2)*exp(5-exp(x))^4+(-48*x^3-96*x^2-48*x)*exp(5-exp(x))^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{4}-\frac{x}{4 \left(24 \,{\mathrm e}^{-2 \,{\mathrm e}^{x}+10} x^{3}+48 \,{\mathrm e}^{-2 \,{\mathrm e}^{x}+10} x^{2}+24 \,{\mathrm e}^{-2 \,{\mathrm e}^{x}+10} x -1\right)}$&$46$\\ \hline \end{longtable}"," ",0,"-1/4*x-1/4*x/(24*exp(-2*exp(x)+10)*x^3+48*exp(-2*exp(x)+10)*x^2+24*exp(-2*exp(x)+10)*x-1)","A"
3679,1,39,31,0.075000," ","int(1/3*((x*ln(x)+(-6*x^2+18*x)*exp(2)^2+x-6)*exp(exp(x))+(3*x^3-18*x^2)*exp(x)-6*x^2+18*x)/x/exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(x \right)}{3}-x^{2} {\mathrm e}^{4}+6 x \,{\mathrm e}^{4}-2 \ln \left(x \right)+\frac{\left(-3 x^{2}+18 x \right) {\mathrm e}^{-{\mathrm e}^{x}}}{3}$&$39$\\ \hline \end{longtable}"," ",0,"1/3*x*ln(x)-x^2*exp(4)+6*x*exp(4)-2*ln(x)+1/3*(-3*x^2+18*x)*exp(-exp(x))","A"
3680,0,0,20,0.033000," ","int((-exp(x)^2+1-2*x)*2^(1/2)*(1/ln((-2*x*exp(x)^2+2*x)/exp(x)^2))^(1/4)/(4*x*exp(x)^2-4*x)/ln((-2*x*exp(x)^2+2*x)/exp(x)^2),x)","\[\int \frac{\left(-{\mathrm e}^{2 x}+1-2 x \right) \sqrt{2}\, \left(\frac{1}{\ln \left(\left(-2 x \,{\mathrm e}^{2 x}+2 x \right) {\mathrm e}^{-2 x}\right)}\right)^{\frac{1}{4}}}{\left(4 x \,{\mathrm e}^{2 x}-4 x \right) \ln \left(\left(-2 x \,{\mathrm e}^{2 x}+2 x \right) {\mathrm e}^{-2 x}\right)}\, dx\]"," ",0,"int((-exp(x)^2+1-2*x)*2^(1/2)*(1/ln((-2*x*exp(x)^2+2*x)/exp(x)^2))^(1/4)/(4*x*exp(x)^2-4*x)/ln((-2*x*exp(x)^2+2*x)/exp(x)^2),x)","F"
3681,1,41,25,0.121000," ","int(1/3*(((-54*exp(x)^2*x^2+18*exp(x)*x^2)*exp(exp(3))+(54*x^3+27*x^2)*exp(x)^2+(-18*x^3-18*x^2)*exp(x)+3*x^2)*exp((-9*exp(x)^2+6*exp(x)-1)*exp(exp(3))+9*x*exp(x)^2-6*exp(x)*x+x+1)+2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{2}{3}+x \,{\mathrm e}^{\left(-9 \,{\mathrm e}^{2 x}+6 \,{\mathrm e}^{x}-1\right) {\mathrm e}^{{\mathrm e}^{3}}+9 x \,{\mathrm e}^{2 x}-6 \,{\mathrm e}^{x} x +x +1}}{x}$&$41$\\ risch&$-\frac{2}{3 x}+{\mathrm e}^{-9 \,{\mathrm e}^{2 x +{\mathrm e}^{3}}+6 \,{\mathrm e}^{{\mathrm e}^{3}+x}+9 x \,{\mathrm e}^{2 x}-6 \,{\mathrm e}^{x} x -{\mathrm e}^{{\mathrm e}^{3}}+x +1}$&$44$\\ \hline \end{longtable}"," ",0,"(-2/3+x*exp((-9*exp(x)^2+6*exp(x)-1)*exp(exp(3))+9*x*exp(x)^2-6*exp(x)*x+x+1))/x","A"
3682,1,3,4,0.010000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
3683,1,24,22,0.052000," ","int((((-2*x+2)*ln(x)+(-2*x+2)*exp(x)-2*x^3+2*x^2)*ln(ln(x)+x^2+exp(x))*ln(ln(ln(x)+x^2+exp(x)))+(4*exp(x)*x+8*x^2+4)*ln(x)-4*exp(x)*x^2-8*x^3-4*x)/(x*ln(x)^2+(exp(x)*x+x^3-x^2)*ln(x)-exp(x)*x^2-x^4)/ln(ln(x)+x^2+exp(x))/ln(ln(ln(x)+x^2+exp(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(\ln \left(x \right)-x \right)+4 \ln \left(\ln \left(\ln \left(\ln \left(x \right)+x^{2}+{\mathrm e}^{x}\right)\right)\right)$&$24$\\ \hline \end{longtable}"," ",0,"2*ln(ln(x)-x)+4*ln(ln(ln(ln(x)+x^2+exp(x))))","A"
3684,1,22,20,0.043000," ","int((((-exp(1)-2*x-8)*exp(x)+5*exp(1)+10*x+40)*ln(5-exp(x))*ln(ln(5-exp(x)))+(exp(1)+2*x+10)*exp(x))/(2*exp(x)^2-10*exp(x))/ln(5-exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left({\mathrm e}+2 x +10\right) {\mathrm e}^{-x} \ln \left(\ln \left(5-{\mathrm e}^{x}\right)\right)}{2}$&$22$\\ \hline \end{longtable}"," ",0,"1/2*(exp(1)+2*x+10)*exp(-x)*ln(ln(5-exp(x)))","A"
3685,1,33,27,0.131000," ","int(((25*x^3+20*x^2-11*x+1)*exp(x)+5*x^3-6*x^2+2*x)/(25*x^2-10*x+1)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{2}+\frac{6 x}{5}+\frac{1}{125 x -25}-\frac{x^{2} {\mathrm e}^{-x}}{5 x -1}$&$33$\\ norman&$\frac{\left(-{\mathrm e}^{x} x -x^{2}+\frac{11 \,{\mathrm e}^{x} x^{2}}{2}+\frac{5 \,{\mathrm e}^{x} x^{3}}{2}\right) {\mathrm e}^{-x}}{5 x -1}$&$38$\\ default&$\frac{1}{125 x -25}+\frac{6 x}{5}+\frac{x^{2}}{2}-\frac{{\mathrm e}^{-x}}{25 \left(5 x -1\right)}+\frac{6 \,{\mathrm e}^{-x}}{25}-\frac{\left(5 x +7\right) {\mathrm e}^{-x}}{25}$&$49$\\ \hline \end{longtable}"," ",0,"1/2*x^2+6/5*x+1/125/(x-1/5)-x^2/(5*x-1)*exp(-x)","A"
3686,1,59,27,0.124000," ","int((((-4*x^3+4*x^2)*exp(3+x)^2+2*x^4)*ln(x)+(4*x-4)*exp(3+x)^4+((4*x^3-4*x^2)*exp(5)^2+12*x^3-14*x^2)*exp(3+x)^2-2*x^4*exp(5)^2-6*x^4)/x^5/exp(4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-8} \left(\frac{\left(2 \,{\mathrm e}^{10}+6\right) {\mathrm e}^{2 x +6}-2 \ln \left(x \right) {\mathrm e}^{2 x +6}}{x^{2}}-2 \ln \left(x \right) {\mathrm e}^{10}-6 \ln \left(x \right)+\ln \left(x \right)^{2}+\frac{{\mathrm e}^{4 x +12}}{x^{4}}\right)$&$59$\\ risch&${\mathrm e}^{-8} \ln \left(x \right)^{2}-\frac{2 \ln \left(x \right) {\mathrm e}^{2 x -2}}{x^{2}}-\frac{{\mathrm e}^{-8} \left(2 \,{\mathrm e}^{10} \ln \left(x \right) x^{4}-2 x^{2} {\mathrm e}^{2 x +16}+6 x^{4} \ln \left(x \right)-6 \,{\mathrm e}^{2 x +6} x^{2}-{\mathrm e}^{4 x +12}\right)}{x^{4}}$&$76$\\ \hline \end{longtable}"," ",0,"1/exp(4)^2*(((2*exp(10)+6)*exp(2*x+6)-2*ln(x)*exp(2*x+6))/x^2-2*ln(x)*exp(10)-6*ln(x)+ln(x)^2+exp(4*x+12)/x^4)","B"
3687,1,32,27,0.230000," ","int((((-x^3-x^2)*exp(x)-3)*exp((exp(x)*x^2+3*x*exp(4)-2*x-3)/x)-exp(x)*x^2-2*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x -{\mathrm e}^{x}-{\mathrm e}^{\frac{{\mathrm e}^{x} x^{2}+3 x \,{\mathrm e}^{4}-2 x -3}{x}}$&$32$\\ norman&$\frac{-2 x^{2}-{\mathrm e}^{x} x -{\mathrm e}^{\frac{{\mathrm e}^{x} x^{2}+3 x \,{\mathrm e}^{4}-2 x -3}{x}} x}{x}$&$40$\\ \hline \end{longtable}"," ",0,"-2*x-exp(x)-exp((exp(x)*x^2+3*x*exp(4)-2*x-3)/x)","A"
3688,1,23,24,0.490000," ","int(((8*x^2-126*x-32)*ln(16-x)+ln(5)-4*x^2-2*x+1)*exp(ln(16-x)/(2*ln(5)-8*x^2-4*x+2))/((2*x-32)*ln(5)^2+(-16*x^3+248*x^2+132*x-64)*ln(5)+32*x^5-480*x^4-520*x^3+120*x^2+130*x-32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(16-x \right)^{\frac{1}{2 \ln \left(5\right)-8 x^{2}-4 x +2}}$&$23$\\ \hline \end{longtable}"," ",0,"(16-x)^(1/2/(-4*x^2+ln(5)-2*x+1))","A"
3689,1,36,16,0.060000," ","int((2*ln(5)*ln(-5/2/x^2)*ln(x)-2*ln(5))*exp(ln(x)^2+3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{3} \ln \left(5\right) \left(\ln \left(-\frac{5}{2 x^{2}}\right)+2 \ln \left(x \right)\right) {\mathrm e}^{\ln \left(x \right)^{2}}-2 \,{\mathrm e}^{3} \ln \left(5\right) {\mathrm e}^{\ln \left(x \right)^{2}} \ln \left(x \right)$&$36$\\ risch&$\left(\frac{i \ln \left(5\right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}-i \ln \left(5\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\frac{i \ln \left(5\right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-i \ln \left(5\right) \pi  \mathrm{csgn}\left(\frac{i}{x^{2}}\right)^{2}+i \ln \left(5\right) \pi  \mathrm{csgn}\left(\frac{i}{x^{2}}\right)^{3}+i \ln \left(5\right) \pi +\ln \left(5\right)^{2}-\ln \left(2\right) \ln \left(5\right)-2 \ln \left(5\right) \ln \left(x \right)\right) {\mathrm e}^{\ln \left(x \right)^{2}+3}$&$117$\\ \hline \end{longtable}"," ",0,"exp(3)*ln(5)*(ln(-5/2/x^2)+2*ln(x))*exp(ln(x)^2)-2*exp(3)*ln(5)*exp(ln(x)^2)*ln(x)","B"
3690,1,31,18,0.141000," ","int((4*(x^3+x^2)*ln(2)-x^3-x^2-1)*exp((8*x^3*ln(2)-2*x^3+1)/(8*x^2*ln(2)-2*x^2))/(4*x^2*ln(2)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{8 x^{3} \ln \left(2\right)-2 x^{3}+1}{2 x^{2} \left(4 \ln \left(2\right)-1\right)}} x$&$31$\\ risch&${\mathrm e}^{\frac{8 x^{3} \ln \left(2\right)-2 x^{3}+1}{2 x^{2} \left(4 \ln \left(2\right)-1\right)}} x$&$31$\\ norman&$x \,{\mathrm e}^{\frac{8 x^{3} \ln \left(2\right)-2 x^{3}+1}{8 x^{2} \ln \left(2\right)-2 x^{2}}}$&$34$\\ \hline \end{longtable}"," ",0,"exp(1/2*(8*x^3*ln(2)-2*x^3+1)/x^2/(4*ln(2)-1))*x","A"
3691,1,31,30,0.075000," ","int((((-x^2-10*x-25)*ln(x)^2*exp(7/ln(x)/(5+x))+((x^2+10*x+25)*exp(2)+x^3+10*x^2+25*x)*ln(x)^2)*ln(exp(7/ln(x)/(5+x))-exp(2)-x)^2+((x^3+10*x^2+25*x)*ln(x)^2*exp(7/ln(x)/(5+x))+((-x^3-10*x^2-25*x)*exp(2)-x^4-10*x^3-25*x^2)*ln(x)^2)*ln(exp(7/ln(x)/(5+x))-exp(2)-x)+(7*x^2*ln(x)+7*x^2+35*x)*exp(7/ln(x)/(5+x))+(x^4+10*x^3+25*x^2)*ln(x)^2)*exp(x/ln(exp(7/ln(x)/(5+x))-exp(2)-x))/((x^4+10*x^3+25*x^2)*ln(x)^2*exp(7/ln(x)/(5+x))+((-x^4-10*x^3-25*x^2)*exp(2)-x^5-10*x^4-25*x^3)*ln(x)^2)/ln(exp(7/ln(x)/(5+x))-exp(2)-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{x}{\ln \left({\mathrm e}^{\frac{7}{\ln \left(x \right) \left(5+x \right)}}-{\mathrm e}^{2}-x \right)}}}{x}$&$31$\\ \hline \end{longtable}"," ",0,"exp(x/ln(exp(7/ln(x)/(5+x))-exp(2)-x))/x","A"
3692,1,82,25,0.131000," ","int(((-2*x^2*exp(5)-8*x^2)*ln(x^2)+((-x+4)*exp(5)-4*x+16)*ln(x)+(-2*x^2-12*x+8)*exp(5)-8*x^2-48*x+32)/((x^5+12*x^4+48*x^3+64*x^2)*ln(x^2)^2+((2*x^4+24*x^3+96*x^2+128*x)*ln(x)+6*x^4+72*x^3+288*x^2+384*x)*ln(x^2)+(x^3+12*x^2+48*x+64)*ln(x)^2+(6*x^3+72*x^2+288*x+384)*ln(x)+9*x^3+108*x^2+432*x+576),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i x \left(4+{\mathrm e}^{5}\right)}{\left(x^{2}+8 x +16\right) \left(\pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i x \ln \left(x \right)+2 i \ln \left(x \right)+6 i\right)}$&$82$\\ \hline \end{longtable}"," ",0,"2*I*x*(4+exp(5))/(x^2+8*x+16)/(Pi*x*csgn(I*x)^2*csgn(I*x^2)-2*Pi*x*csgn(I*x)*csgn(I*x^2)^2+Pi*x*csgn(I*x^2)^3+4*I*x*ln(x)+2*I*ln(x)+6*I)","C"
3693,1,26,25,0.083000," ","int(((-x^3+14*x^2-36*x+36)*exp(x)*ln(x)+(x^2*exp(1)-x^2+15*x-36)*exp(x)+2*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x^{2}-15 x +36\right) {\mathrm e}^{x} \ln \left(x \right)}{x}+{\mathrm e}^{x +1}+x^{2}$&$26$\\ norman&$\frac{x^{3}+x \,{\mathrm e} \,{\mathrm e}^{x}-36 \,{\mathrm e}^{x} \ln \left(x \right)+15 x \,{\mathrm e}^{x} \ln \left(x \right)-x^{2} {\mathrm e}^{x} \ln \left(x \right)}{x}$&$37$\\ default&$\frac{x \,{\mathrm e} \,{\mathrm e}^{x}-36 \,{\mathrm e}^{x} \ln \left(x \right)+15 x \,{\mathrm e}^{x} \ln \left(x \right)-x^{2} {\mathrm e}^{x} \ln \left(x \right)}{x}+x^{2}$&$38$\\ \hline \end{longtable}"," ",0,"-(x^2-15*x+36)/x*exp(x)*ln(x)+exp(x+1)+x^2","A"
3694,1,25,19,0.091000," ","int(((-x-ln(2))*ln(x*ln(2)^2+2*x^2*ln(2)+x^3)+ln(2)+3*x)/(x*ln(2)+x^2)/ln(x*ln(2)^2+2*x^2*ln(2)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+x^{3}\right)\right)-\ln \left(x \right)$&$25$\\ norman&$\ln \left(\ln \left(x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+x^{3}\right)\right)-\ln \left(x \right)$&$25$\\ risch&$\ln \left(\ln \left(x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+x^{3}\right)\right)-\ln \left(x \right)$&$25$\\ \hline \end{longtable}"," ",0,"ln(ln(x*ln(2)^2+2*x^2*ln(2)+x^3))-ln(x)","A"
3695,1,22,26,0.092000," ","int((5*x^4*ln(x)^2-8*x^4*ln(x)+(4*x^5-5*x^4)*exp(x)-3*x^6-x^5)/(ln(x)^10+(-5*exp(x)+5*x^2-5*x)*ln(x)^8+(10*exp(x)^2+(-20*x^2+20*x)*exp(x)+10*x^4-20*x^3+10*x^2)*ln(x)^6+(-10*exp(x)^3+(30*x^2-30*x)*exp(x)^2+(-30*x^4+60*x^3-30*x^2)*exp(x)+10*x^6-30*x^5+30*x^4-10*x^3)*ln(x)^4+(5*exp(x)^4+(-20*x^2+20*x)*exp(x)^3+(30*x^4-60*x^3+30*x^2)*exp(x)^2+(-20*x^6+60*x^5-60*x^4+20*x^3)*exp(x)+5*x^8-20*x^7+30*x^6-20*x^5+5*x^4)*ln(x)^2-exp(x)^5+(5*x^2-5*x)*exp(x)^4+(-10*x^4+20*x^3-10*x^2)*exp(x)^3+(10*x^6-30*x^5+30*x^4-10*x^3)*exp(x)^2+(-5*x^8+20*x^7-30*x^6+20*x^5-5*x^4)*exp(x)+x^10-5*x^9+10*x^8-10*x^7+5*x^6-x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{5}}{\left(\ln \left(x \right)^{2}+x^{2}-{\mathrm e}^{x}-x \right)^{4}}$&$22$\\ \hline \end{longtable}"," ",0,"x^5/(ln(x)^2+x^2-exp(x)-x)^4","A"
3696,1,16,14,0.056000," ","int(((4*x^3+8*x^2+4*x)*exp(x)*ln(x)+(4*x^2+8*x+4)*exp(x)+8*x^2+8*x)*exp(exp(x)*ln(x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(4 x^{2}+8 x +4\right) x^{{\mathrm e}^{x}}$&$16$\\ \hline \end{longtable}"," ",0,"(4*x^2+8*x+4)*x^exp(x)","A"
3697,0,0,32,0.145000," ","int((((2*x^2-8*x)*exp(2)-4*x^3+16*x^2)*ln((-x^3+8*x^2-16*x)*exp(2)+2*x^4-16*x^3+32*x^2)*ln(5/x/ln((-x^3+8*x^2-16*x)*exp(2)+2*x^4-16*x^3+32*x^2))^2+(((-2*x^2+8*x)*exp(2)+4*x^3-16*x^2)*ln((-x^3+8*x^2-16*x)*exp(2)+2*x^4-16*x^3+32*x^2)+(-6*x^2+8*x)*exp(2)+16*x^3-32*x^2)*ln(5/x/ln((-x^3+8*x^2-16*x)*exp(2)+2*x^4-16*x^3+32*x^2)))/((x-4)*exp(2)-2*x^2+8*x)/ln((-x^3+8*x^2-16*x)*exp(2)+2*x^4-16*x^3+32*x^2),x)","\[\int \frac{\left(\left(2 x^{2}-8 x \right) {\mathrm e}^{2}-4 x^{3}+16 x^{2}\right) \ln \left(\left(-x^{3}+8 x^{2}-16 x \right) {\mathrm e}^{2}+2 x^{4}-16 x^{3}+32 x^{2}\right) \ln \left(\frac{5}{x \ln \left(\left(-x^{3}+8 x^{2}-16 x \right) {\mathrm e}^{2}+2 x^{4}-16 x^{3}+32 x^{2}\right)}\right)^{2}+\left(\left(\left(-2 x^{2}+8 x \right) {\mathrm e}^{2}+4 x^{3}-16 x^{2}\right) \ln \left(\left(-x^{3}+8 x^{2}-16 x \right) {\mathrm e}^{2}+2 x^{4}-16 x^{3}+32 x^{2}\right)+\left(-6 x^{2}+8 x \right) {\mathrm e}^{2}+16 x^{3}-32 x^{2}\right) \ln \left(\frac{5}{x \ln \left(\left(-x^{3}+8 x^{2}-16 x \right) {\mathrm e}^{2}+2 x^{4}-16 x^{3}+32 x^{2}\right)}\right)}{\left(\left(x -4\right) {\mathrm e}^{2}-2 x^{2}+8 x \right) \ln \left(\left(-x^{3}+8 x^{2}-16 x \right) {\mathrm e}^{2}+2 x^{4}-16 x^{3}+32 x^{2}\right)}\, dx\]"," ",0,"int((((2*x^2-8*x)*exp(2)-4*x^3+16*x^2)*ln((-x^3+8*x^2-16*x)*exp(2)+2*x^4-16*x^3+32*x^2)*ln(5/x/ln((-x^3+8*x^2-16*x)*exp(2)+2*x^4-16*x^3+32*x^2))^2+(((-2*x^2+8*x)*exp(2)+4*x^3-16*x^2)*ln((-x^3+8*x^2-16*x)*exp(2)+2*x^4-16*x^3+32*x^2)+(-6*x^2+8*x)*exp(2)+16*x^3-32*x^2)*ln(5/x/ln((-x^3+8*x^2-16*x)*exp(2)+2*x^4-16*x^3+32*x^2)))/((x-4)*exp(2)-2*x^2+8*x)/ln((-x^3+8*x^2-16*x)*exp(2)+2*x^4-16*x^3+32*x^2),x)","F"
3698,1,22,24,0.025000," ","int((((-10*x^2-5*x)*exp(x)^2-x-1)*ln(x)*ln(ln(x))-1)/x/ln(x)/ln(ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-5 x \,{\mathrm e}^{2 x}-x -\ln \left(x \right)-\ln \left(\ln \left(\ln \left(x \right)\right)\right)$&$22$\\ risch&$-5 x \,{\mathrm e}^{2 x}-x -\ln \left(x \right)-\ln \left(\ln \left(\ln \left(x \right)\right)\right)$&$22$\\ \hline \end{longtable}"," ",0,"-5*x*exp(x)^2-x-ln(x)-ln(ln(ln(x)))","A"
3699,1,18,18,0.013000," ","int(1/3*(16*x^2*ln(x)+6*x^3+25*x^2-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{16 x \ln \left(x \right)}{3}+3 x +x^{2}+\frac{1}{3 x}$&$18$\\ norman&$\frac{\frac{1}{3}+x^{3}+3 x^{2}+\frac{16 x^{2} \ln \left(x \right)}{3}}{x}$&$22$\\ risch&$\frac{16 x \ln \left(x \right)}{3}+\frac{3 x^{3}+9 x^{2}+1}{3 x}$&$24$\\ \hline \end{longtable}"," ",0,"16/3*x*ln(x)+3*x+x^2+1/3/x","A"
3700,1,29,30,0.084000," ","int((-4*ln(x)+(2*x^3+6*x^2-6*x)*exp(4)*exp(x)+2*x*exp(4)*exp(5)-8*x*exp(4)+2)/x^3/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{-4} \ln \left(x \right)}{x^{2}}-\frac{2 \left({\mathrm e}^{5}-{\mathrm e}^{x} x -3 \,{\mathrm e}^{x}-4\right)}{x}$&$29$\\ norman&$\frac{\left(-2 \,{\mathrm e}^{5}+8\right) x +6 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{-4} \ln \left(x \right)}{x^{2}}$&$34$\\ default&${\mathrm e}^{-4} \left(-\frac{2 \left({\mathrm e}^{9}-4 \,{\mathrm e}^{4}\right)}{x}+\frac{2 \ln \left(x \right)}{x^{2}}+2 \,{\mathrm e}^{4} \left(\frac{3 \,{\mathrm e}^{x}}{x}+{\mathrm e}^{x}\right)\right)$&$40$\\ \hline \end{longtable}"," ",0,"2*exp(-4)*ln(x)/x^2-2*(exp(5)-exp(x)*x-3*exp(x)-4)/x","A"
3701,1,17,18,0.033000," ","int((72*x^5+396*x^4+594*x^3+243*x^2)*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$9 x^{3} \left(2 x +3\right)^{2} {\mathrm e}^{2 x}$&$17$\\ risch&$\left(36 x^{5}+108 x^{4}+81 x^{3}\right) {\mathrm e}^{2 x}$&$22$\\ default&$36 x^{5} {\mathrm e}^{2 x}+108 \,{\mathrm e}^{2 x} x^{4}+81 \,{\mathrm e}^{2 x} x^{3}$&$29$\\ norman&$36 x^{5} {\mathrm e}^{2 x}+108 \,{\mathrm e}^{2 x} x^{4}+81 \,{\mathrm e}^{2 x} x^{3}$&$29$\\ meijerg&$-\frac{3 \left(-192 x^{5}+480 x^{4}-960 x^{3}+1440 x^{2}-1440 x +720\right) {\mathrm e}^{2 x}}{16}+\frac{99 \left(80 x^{4}-160 x^{3}+240 x^{2}-240 x +120\right) {\mathrm e}^{2 x}}{40}-\frac{297 \left(-32 x^{3}+48 x^{2}-48 x +24\right) {\mathrm e}^{2 x}}{32}+\frac{81 \left(12 x^{2}-12 x +6\right) {\mathrm e}^{2 x}}{8}$&$96$\\ \hline \end{longtable}"," ",0,"9*x^3*(2*x+3)^2*exp(x)^2","A"
3702,1,27,26,0.095000," ","int(((8*exp(4)^3*exp(x)^3+(8*x+24)*exp(4)^3*exp(x))*ln(exp(x)^2+3+x)^3+(-12*x*exp(4)^2*exp(x)^3+(-12*x^2-36*x)*exp(4)^2*exp(x))*ln(exp(x)^2+3+x)^2+(6*x^2*exp(4)*exp(x)^3+(6*x^3+18*x^2)*exp(4)*exp(x))*ln(exp(x)^2+3+x)+(-40*exp(4)-x^3+10)*exp(x)^3+(-40*exp(4)+10)*exp(x)^2+(-20*exp(4)-x^4-3*x^3+10*x+30)*exp(x)-20*exp(4)+10*x+30)/((8*exp(4)^3*exp(x)^3+8*exp(4)^3*exp(x)^2+(8*x+24)*exp(4)^3*exp(x)+(8*x+24)*exp(4)^3)*ln(exp(x)^2+3+x)^3+(-12*x*exp(4)^2*exp(x)^3-12*x*exp(4)^2*exp(x)^2+(-12*x^2-36*x)*exp(4)^2*exp(x)+(-12*x^2-36*x)*exp(4)^2)*ln(exp(x)^2+3+x)^2+(6*x^2*exp(4)*exp(x)^3+6*x^2*exp(4)*exp(x)^2+(6*x^3+18*x^2)*exp(4)*exp(x)+(6*x^3+18*x^2)*exp(4))*ln(exp(x)^2+3+x)-x^3*exp(x)^3-exp(x)^2*x^3+(-x^4-3*x^3)*exp(x)-x^4-3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{\left(2 \ln \left({\mathrm e}^{2 x}+3+x \right) {\mathrm e}^{4}-x \right)^{2}}+\ln \left({\mathrm e}^{x}+1\right)$&$27$\\ \hline \end{longtable}"," ",0,"5/(2*ln(exp(2*x)+3+x)*exp(4)-x)^2+ln(exp(x)+1)","A"
3703,1,16,17,0.019000," ","int(1/2*(16*x*ln(x^2)^2+ln(x^2)-2)/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2}+\frac{x}{2 \ln \left(x^{2}\right)}$&$16$\\ norman&$\frac{\frac{x}{2}+4 x^{2} \ln \left(x^{2}\right)}{\ln \left(x^{2}\right)}$&$21$\\ \hline \end{longtable}"," ",0,"4*x^2+1/2*x/ln(x^2)","A"
3704,1,15,15,0.127000," ","int(((3*x^2-3*x)*exp(3*x-5)*exp(exp(3*x-5))+2*x-1)/(x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{{\mathrm e}^{3 x -5}}+\ln \left(x -1\right)+\ln \left(x \right)$&$15$\\ risch&$\ln \left(x^{2}-x \right)+{\mathrm e}^{{\mathrm e}^{3 x -5}}$&$17$\\ \hline \end{longtable}"," ",0,"exp(exp(3*x-5))+ln(x-1)+ln(x)","A"
3705,1,15,12,0.011000," ","int(-25*ln(x)+50*x-60,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$25 x^{2}-35 x -25 x \ln \left(x \right)$&$15$\\ norman&$25 x^{2}-35 x -25 x \ln \left(x \right)$&$15$\\ risch&$25 x^{2}-35 x -25 x \ln \left(x \right)$&$15$\\ \hline \end{longtable}"," ",0,"25*x^2-35*x-25*x*ln(x)","A"
3706,1,21,25,0.112000," ","int((((2*x^3+4*x^2+x)*ln(x)+2*x^3+2*x^2-x-1)*exp((-2*x^2-x)*ln(x)/(x+1))+x^2+2*x+1)/(x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,x^{-\frac{\left(2 x +1\right) x}{x +1}}+x$&$21$\\ norman&$\frac{x^{2}-x \,{\mathrm e}^{\frac{\left(-2 x^{2}-x \right) \ln \left(x \right)}{x +1}}-x^{2} {\mathrm e}^{\frac{\left(-2 x^{2}-x \right) \ln \left(x \right)}{x +1}}-1}{x +1}$&$56$\\ default&$x +\frac{-x \,{\mathrm e}^{\frac{\left(-2 x^{2}-x \right) \ln \left(x \right)}{x +1}}-2 x^{2} {\mathrm e}^{\frac{\left(-2 x^{2}-x \right) \ln \left(x \right)}{x +1}}-x^{3} {\mathrm e}^{\frac{\left(-2 x^{2}-x \right) \ln \left(x \right)}{x +1}}}{\left(x +1\right)^{2}}$&$77$\\ \hline \end{longtable}"," ",0,"-x*x^(-(2*x+1)*x/(x+1))+x","A"
3707,1,21,21,0.089000," ","int(1/2*(360*x^2*ln(x)-180*x^2+40)/(9*x^3-2*x)/ln(2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-10 \ln \left(\ln \left(x \right)\right)+10 \ln \left(9 x^{2}-2\right)}{\ln \left(2\right)}$&$21$\\ norman&$-\frac{10 \ln \left(\ln \left(x \right)\right)}{\ln \left(2\right)}+\frac{10 \ln \left(9 x^{2}-2\right)}{\ln \left(2\right)}$&$25$\\ risch&$-\frac{10 \ln \left(\ln \left(x \right)\right)}{\ln \left(2\right)}+\frac{10 \ln \left(9 x^{2}-2\right)}{\ln \left(2\right)}$&$25$\\ \hline \end{longtable}"," ",0,"10/ln(2)*(-ln(ln(x))+ln(9*x^2-2))","A"
3708,1,17,12,0.099000," ","int(-9*exp(5)/(3*x*exp(5)+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-3 \ln \left(x \right)+3 \ln \left(3 \,{\mathrm e}^{5}+2 x \right)$&$17$\\ risch&$-3 \ln \left(x \right)+3 \ln \left(3 \,{\mathrm e}^{5}+2 x \right)$&$17$\\ meijerg&$3 \ln \left(1+\frac{2 x \,{\mathrm e}^{-5}}{3}\right)-3 \ln \left(x \right)-3 \ln \left(2\right)+3 \ln \left(3\right)+15$&$25$\\ default&$-9 \,{\mathrm e}^{5} \left(\frac{\ln \left(x \right) {\mathrm e}^{-5}}{3}-\frac{{\mathrm e}^{-5} \ln \left(3 \,{\mathrm e}^{5}+2 x \right)}{3}\right)$&$29$\\ \hline \end{longtable}"," ",0,"-3*ln(x)+3*ln(3*exp(5)+2*x)","A"
3709,1,17,24,0.037000," ","int((2*ln(x)+(-2*x+2)*exp(x)-2*x^2-26)*exp(2*x/(5*ln(x)+5*exp(x)+5*x^2+5*x-60))/(5*ln(x)^2+(10*exp(x)+10*x^2+10*x-120)*ln(x)+5*exp(x)^2+(10*x^2+10*x-120)*exp(x)+5*x^4+10*x^3-115*x^2-120*x+720),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 x}{5 \left(x^{2}+\ln \left(x \right)+{\mathrm e}^{x}+x -12\right)}}$&$17$\\ \hline \end{longtable}"," ",0,"exp(2/5*x/(x^2+ln(x)+exp(x)+x-12))","A"
3710,1,575,30,0.381000," ","int((((2*x^3+7*x^2-40*x-144)*ln(2*x-9)+(-2*x^3+x^2+36*x)*exp(5/(ln(5)-2)))*ln(((-x^2-4*x)*ln(2*x-9)+x^2*exp(5/(ln(5)-2)))/(4+x))+(2*x^3+7*x^2-40*x-144)*ln(2*x-9)+(-2*x^3-7*x^2+72*x)*exp(5/(ln(5)-2))+2*x^3+16*x^2+32*x)/((2*x^3+7*x^2-40*x-144)*ln(2*x-9)+(-2*x^3+x^2+36*x)*exp(5/(ln(5)-2))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(-\ln \left(2 x -9\right) x +x \,{\mathrm e}^{\frac{5}{\ln \left(5\right)-2}}-4 \ln \left(2 x -9\right)\right)-x \ln \left(4+x \right)+x \ln \left(x \right)-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(\ln \left(2 x -9\right) x -x \,{\mathrm e}^{\frac{5}{\ln \left(5\right)-2}}+4 \ln \left(2 x -9\right)\right)}{4+x}\right) \mathrm{csgn}\left(\frac{i x \left(\ln \left(2 x -9\right) x -x \,{\mathrm e}^{\frac{5}{\ln \left(5\right)-2}}+4 \ln \left(2 x -9\right)\right)}{4+x}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(\ln \left(2 x -9\right) x -x \,{\mathrm e}^{\frac{5}{\ln \left(5\right)-2}}+4 \ln \left(2 x -9\right)\right)}{4+x}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{4+x}\right) \mathrm{csgn}\left(i \left(\ln \left(2 x -9\right) x -x \,{\mathrm e}^{\frac{5}{\ln \left(5\right)-2}}+4 \ln \left(2 x -9\right)\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(2 x -9\right) x -x \,{\mathrm e}^{\frac{5}{\ln \left(5\right)-2}}+4 \ln \left(2 x -9\right)\right)}{4+x}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{4+x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(2 x -9\right) x -x \,{\mathrm e}^{\frac{5}{\ln \left(5\right)-2}}+4 \ln \left(2 x -9\right)\right)}{4+x}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(\ln \left(2 x -9\right) x -x \,{\mathrm e}^{\frac{5}{\ln \left(5\right)-2}}+4 \ln \left(2 x -9\right)\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(2 x -9\right) x -x \,{\mathrm e}^{\frac{5}{\ln \left(5\right)-2}}+4 \ln \left(2 x -9\right)\right)}{4+x}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(\ln \left(2 x -9\right) x -x \,{\mathrm e}^{\frac{5}{\ln \left(5\right)-2}}+4 \ln \left(2 x -9\right)\right)}{4+x}\right)^{3}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i \left(\ln \left(2 x -9\right) x -x \,{\mathrm e}^{\frac{5}{\ln \left(5\right)-2}}+4 \ln \left(2 x -9\right)\right)}{4+x}\right) \mathrm{csgn}\left(\frac{i x \left(\ln \left(2 x -9\right) x -x \,{\mathrm e}^{\frac{5}{\ln \left(5\right)-2}}+4 \ln \left(2 x -9\right)\right)}{4+x}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i x \left(\ln \left(2 x -9\right) x -x \,{\mathrm e}^{\frac{5}{\ln \left(5\right)-2}}+4 \ln \left(2 x -9\right)\right)}{4+x}\right)^{3}}{2}$&$575$\\ \hline \end{longtable}"," ",0,"x*ln(-ln(2*x-9)*x+x*exp(5/(ln(5)-2))-4*ln(2*x-9))-x*ln(4+x)+x*ln(x)-1/2*I*Pi*x*csgn(I*x)*csgn(I*(ln(2*x-9)*x-x*exp(5/(ln(5)-2))+4*ln(2*x-9))/(4+x))*csgn(I*x*(ln(2*x-9)*x-x*exp(5/(ln(5)-2))+4*ln(2*x-9))/(4+x))+1/2*I*Pi*x*csgn(I*x)*csgn(I*x*(ln(2*x-9)*x-x*exp(5/(ln(5)-2))+4*ln(2*x-9))/(4+x))^2-1/2*I*Pi*x*csgn(I/(4+x))*csgn(I*(ln(2*x-9)*x-x*exp(5/(ln(5)-2))+4*ln(2*x-9)))*csgn(I*(ln(2*x-9)*x-x*exp(5/(ln(5)-2))+4*ln(2*x-9))/(4+x))+1/2*I*Pi*x*csgn(I/(4+x))*csgn(I*(ln(2*x-9)*x-x*exp(5/(ln(5)-2))+4*ln(2*x-9))/(4+x))^2-1/2*I*Pi*x*csgn(I*(ln(2*x-9)*x-x*exp(5/(ln(5)-2))+4*ln(2*x-9)))*csgn(I*(ln(2*x-9)*x-x*exp(5/(ln(5)-2))+4*ln(2*x-9))/(4+x))^2+1/2*I*Pi*x*csgn(I*(ln(2*x-9)*x-x*exp(5/(ln(5)-2))+4*ln(2*x-9))/(4+x))^3-1/2*I*Pi*x*csgn(I*(ln(2*x-9)*x-x*exp(5/(ln(5)-2))+4*ln(2*x-9))/(4+x))*csgn(I*x*(ln(2*x-9)*x-x*exp(5/(ln(5)-2))+4*ln(2*x-9))/(4+x))^2+1/2*I*Pi*x*csgn(I*x*(ln(2*x-9)*x-x*exp(5/(ln(5)-2))+4*ln(2*x-9))/(4+x))^3","C"
3711,1,17,15,0.057000," ","int(((2*x^2+2*x)*ln(x)+(2*x^2+2*x)*exp(1)+x^2+2*x+3)/((x^3+2*x^2+3*x)*ln(x)+(x^3+2*x^2+3*x)*exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left({\mathrm e}+\ln \left(x \right)\right)+\ln \left(x^{2}+2 x +3\right)$&$17$\\ risch&$\ln \left({\mathrm e}+\ln \left(x \right)\right)+\ln \left(x^{2}+2 x +3\right)$&$17$\\ \hline \end{longtable}"," ",0,"ln(exp(1)+ln(x))+ln(x^2+2*x+3)","A"
3712,1,25,22,0.033000," ","int(((1250*x^4*exp(5*x)-1250*x^4)*ln(exp(5*x)-1)^2+(750*x^4*exp(5*x)-750*x^4)*ln(exp(5*x)-1)+(-1250*x^5-200*x^4)*exp(5*x)+200*x^4)/((25*exp(5*x)-25)*ln(exp(5*x)-1)^2+(-10*exp(5*x)+10)*ln(exp(5*x)-1)+exp(5*x)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$10 x^{5}+\frac{50 x^{5}}{-1+5 \ln \left({\mathrm e}^{5 x}-1\right)}$&$25$\\ \hline \end{longtable}"," ",0,"10*x^5+50*x^5/(-1+5*ln(exp(5*x)-1))","A"
3713,1,27,18,0.057000," ","int((-2*exp(3)-5*x^3)/((10*x^3+x)*exp(3)-5*x^4+20*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 \ln \left(x \right)+\ln \left(10 x^{2} {\mathrm e}^{3}-5 x^{3}+20 x^{2}+{\mathrm e}^{3}\right)$&$27$\\ default&$-2 \ln \left(x \right)+\ln \left(-10 x^{2} {\mathrm e}^{3}+5 x^{3}-20 x^{2}-{\mathrm e}^{3}\right)$&$29$\\ risch&$-2 \ln \left(-x \right)+\ln \left(5 x^{3}+\left(-10 \,{\mathrm e}^{3}-20\right) x^{2}-{\mathrm e}^{3}\right)$&$29$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+ln(10*x^2*exp(3)-5*x^3+20*x^2+exp(3))","A"
3714,1,34,18,0.042000," ","int(((-exp(x)*x-x)*ln(x)+(-5*x^2-x-1)*exp(x)-10*x^2-12*x-3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-5 \,{\mathrm e}^{x} x -{\mathrm e}^{x} \ln \left(x \right)+4 \,{\mathrm e}^{x}-5 x^{2}-11 x -3 \ln \left(x \right)-x \ln \left(x \right)$&$34$\\ norman&$-5 \,{\mathrm e}^{x} x -{\mathrm e}^{x} \ln \left(x \right)+4 \,{\mathrm e}^{x}-5 x^{2}-11 x -3 \ln \left(x \right)-x \ln \left(x \right)$&$34$\\ risch&$\left(-{\mathrm e}^{x}-x \right) \ln \left(x \right)-5 x^{2}-5 \,{\mathrm e}^{x} x -3 \ln \left(x \right)-11 x +4 \,{\mathrm e}^{x}$&$34$\\ \hline \end{longtable}"," ",0,"-5*exp(x)*x-exp(x)*ln(x)+4*exp(x)-5*x^2-11*x-3*ln(x)-x*ln(x)","A"
3715,1,2783,25,0.498000," ","int(((-exp(x)*x^2+3*x)*ln((exp(x)^2*x^2-6*exp(x)*x+9)/x^2/exp(4/5)^2)^2+(4*exp(x)*x^2+12)*ln((exp(x)^2*x^2-6*exp(x)*x+9)/x^2/exp(4/5)^2)+exp(x)^2*x^2-3*exp(x)*x)/(exp(x)^2*x^2-3*exp(x)*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2783$\\ \hline \end{longtable}"," ",0,"4*exp(-x)*ln(exp(x)*x-3)^2-2/5*(-5*I*Pi*csgn(I/x^2)*csgn(I/x^2*(exp(x)*x-3)^2)^2-5*I*Pi*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2)^2+10*I*Pi*csgn(I*x)*csgn(I*x^2)^2-5*I*Pi*csgn(I*x^2)^3+5*I*Pi*csgn(I/x^2*(exp(x)*x-3)^2)^3-5*I*Pi*csgn(I*x)^2*csgn(I*x^2)+5*I*Pi*csgn(I/x^2)*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2)-10*I*Pi*csgn(I*(exp(x)*x-3))*csgn(I*(exp(x)*x-3)^2)^2+5*I*Pi*csgn(I*(exp(x)*x-3)^2)^3+5*I*Pi*csgn(I*(exp(x)*x-3))^2*csgn(I*(exp(x)*x-3)^2)+16+20*ln(x))*exp(-x)*ln(exp(x)*x-3)+1/100*(256+100*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I/x^2)*csgn(I/x^2*(exp(x)*x-3)^2)^2-100*Pi^2*csgn(I*(exp(x)*x-3))^2*csgn(I*(exp(x)*x-3)^2)*csgn(I*x)*csgn(I*x^2)^2-50*Pi^2*csgn(I*(exp(x)*x-3))^2*csgn(I*(exp(x)*x-3)^2)^2*csgn(I/x^2)*csgn(I/x^2*(exp(x)*x-3)^2)+50*Pi^2*csgn(I*(exp(x)*x-3))^2*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2)*csgn(I/x^2*(exp(x)*x-3)^2)^2-50*Pi^2*csgn(I*(exp(x)*x-3))^2*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2)^3+100*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2)^2-100*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I/x^2*(exp(x)*x-3)^2)^3+200*I*ln(x)*Pi*csgn(I*(exp(x)*x-3))^2*csgn(I*(exp(x)*x-3)^2)-400*I*ln(x)*Pi*csgn(I*(exp(x)*x-3))*csgn(I*(exp(x)*x-3)^2)^2-200*I*ln(x)*Pi*csgn(I/x^2)*csgn(I/x^2*(exp(x)*x-3)^2)^2-200*I*ln(x)*Pi*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2)^2-200*I*Pi*ln(x)*csgn(I*x)^2*csgn(I*x^2)+400*I*Pi*ln(x)*csgn(I*x)*csgn(I*x^2)^2+160*I*Pi*csgn(I/x^2)*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2)+50*Pi^2*csgn(I*(exp(x)*x-3))^2*csgn(I*(exp(x)*x-3)^2)*csgn(I*x)^2*csgn(I*x^2)-100*Pi^2*csgn(I*(exp(x)*x-3))*csgn(I*(exp(x)*x-3)^2)^2*csgn(I*x)^2*csgn(I*x^2)+200*Pi^2*csgn(I*(exp(x)*x-3))*csgn(I*(exp(x)*x-3)^2)^2*csgn(I*x)*csgn(I*x^2)^2+100*Pi^2*csgn(I*(exp(x)*x-3))*csgn(I*(exp(x)*x-3)^2)^3*csgn(I/x^2)*csgn(I/x^2*(exp(x)*x-3)^2)-100*Pi^2*csgn(I*(exp(x)*x-3))*csgn(I*(exp(x)*x-3)^2)^2*csgn(I/x^2)*csgn(I/x^2*(exp(x)*x-3)^2)^2+100*Pi^2*csgn(I*(exp(x)*x-3))*csgn(I*(exp(x)*x-3)^2)^2*csgn(I/x^2*(exp(x)*x-3)^2)^3+50*Pi^2*csgn(I*x^2)^3*csgn(I/x^2)*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2)-100*Pi^2*csgn(I/x^2)*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2)^4-50*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I/x^2)*csgn(I/x^2*(exp(x)*x-3)^2)^2-50*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2)^2+50*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I/x^2*(exp(x)*x-3)^2)^3+200*I*ln(x)*Pi*csgn(I/x^2)*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2)-25*Pi^2*csgn(I/x^2)^2*csgn(I/x^2*(exp(x)*x-3)^2)^4+50*Pi^2*csgn(I/x^2)*csgn(I/x^2*(exp(x)*x-3)^2)^5-160*I*Pi*csgn(I*x^2)^3+160*I*Pi*csgn(I*(exp(x)*x-3)^2)^3+160*I*Pi*csgn(I/x^2*(exp(x)*x-3)^2)^3-25*Pi^2*csgn(I*(exp(x)*x-3))^4*csgn(I*(exp(x)*x-3)^2)^2+100*Pi^2*csgn(I*(exp(x)*x-3))^3*csgn(I*(exp(x)*x-3)^2)^3-150*Pi^2*csgn(I*(exp(x)*x-3))^2*csgn(I*(exp(x)*x-3)^2)^4+100*Pi^2*csgn(I*(exp(x)*x-3))*csgn(I*(exp(x)*x-3)^2)^5-25*Pi^2*csgn(I*(exp(x)*x-3)^2)^2*csgn(I/x^2*(exp(x)*x-3)^2)^4+50*Pi^2*csgn(I*(exp(x)*x-3)^2)^3*csgn(I*x^2)^3+50*Pi^2*csgn(I*(exp(x)*x-3)^2)^4*csgn(I/x^2*(exp(x)*x-3)^2)^2-25*Pi^2*csgn(I*x)^4*csgn(I*x^2)^2+100*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3-150*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4+100*Pi^2*csgn(I*x)*csgn(I*x^2)^5+640*ln(x)+400*ln(x)^2+100*exp(x)*x-25*Pi^2*csgn(I/x^2*(exp(x)*x-3)^2)^6-25*Pi^2*csgn(I*x^2)^6-25*Pi^2*csgn(I*(exp(x)*x-3)^2)^6+50*Pi^2*csgn(I*(exp(x)*x-3))^2*csgn(I*(exp(x)*x-3)^2)*csgn(I*x^2)^3+50*Pi^2*csgn(I*(exp(x)*x-3))^2*csgn(I*(exp(x)*x-3)^2)^2*csgn(I/x^2*(exp(x)*x-3)^2)^2-100*Pi^2*csgn(I*(exp(x)*x-3))*csgn(I*(exp(x)*x-3)^2)^2*csgn(I*x^2)^3-100*Pi^2*csgn(I*(exp(x)*x-3))*csgn(I*(exp(x)*x-3)^2)^3*csgn(I/x^2*(exp(x)*x-3)^2)^2+50*Pi^2*csgn(I*(exp(x)*x-3)^2)^3*csgn(I*x)^2*csgn(I*x^2)-100*Pi^2*csgn(I*(exp(x)*x-3)^2)^3*csgn(I*x)*csgn(I*x^2)^2-50*Pi^2*csgn(I*(exp(x)*x-3)^2)^4*csgn(I/x^2)*csgn(I/x^2*(exp(x)*x-3)^2)+50*Pi^2*csgn(I*(exp(x)*x-3)^2)^3*csgn(I/x^2)*csgn(I/x^2*(exp(x)*x-3)^2)^2-50*Pi^2*csgn(I*(exp(x)*x-3)^2)^3*csgn(I/x^2*(exp(x)*x-3)^2)^3-50*Pi^2*csgn(I*x^2)^3*csgn(I/x^2)*csgn(I/x^2*(exp(x)*x-3)^2)^2-50*Pi^2*csgn(I*x^2)^3*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2)^2+50*Pi^2*csgn(I*x^2)^3*csgn(I/x^2*(exp(x)*x-3)^2)^3-25*Pi^2*csgn(I/x^2)^2*csgn(I*(exp(x)*x-3)^2)^2*csgn(I/x^2*(exp(x)*x-3)^2)^2+50*Pi^2*csgn(I/x^2)^2*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2)^3+50*Pi^2*csgn(I/x^2)*csgn(I*(exp(x)*x-3)^2)^2*csgn(I/x^2*(exp(x)*x-3)^2)^3+50*Pi^2*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2)^5+200*I*ln(x)*Pi*csgn(I*(exp(x)*x-3)^2)^3-200*I*ln(x)*Pi*csgn(I*x^2)^3+200*I*ln(x)*Pi*csgn(I/x^2*(exp(x)*x-3)^2)^3-160*I*Pi*csgn(I*x)^2*csgn(I*x^2)+320*I*Pi*csgn(I*x)*csgn(I*x^2)^2-160*I*Pi*csgn(I/x^2)*csgn(I/x^2*(exp(x)*x-3)^2)^2+160*I*Pi*csgn(I*(exp(x)*x-3))^2*csgn(I*(exp(x)*x-3)^2)-320*I*Pi*csgn(I*(exp(x)*x-3))*csgn(I*(exp(x)*x-3)^2)^2-160*I*Pi*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2)^2+50*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I/x^2)*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2)-100*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I/x^2)*csgn(I*(exp(x)*x-3)^2)*csgn(I/x^2*(exp(x)*x-3)^2))*exp(-x)","C"
3716,1,20,20,0.097000," ","int(((3*x-6)*ln((2-x)*exp(1)/x)+2*x)/(x^3-2*x^2)/ln((2-x)*exp(1)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{3}{x}+\ln \left(\ln \left(\frac{\left(2-x \right) {\mathrm e}}{x}\right)\right)$&$20$\\ risch&$-\frac{3}{x}+\ln \left(\ln \left(\frac{\left(2-x \right) {\mathrm e}}{x}\right)\right)$&$20$\\ derivativedivides&$-\frac{{\mathrm e} \left(6 \,{\mathrm e}^{-2} \left(\frac{2 \,{\mathrm e}}{x}-{\mathrm e}\right)-4 \,{\mathrm e}^{-1} \ln \left(\ln \left(\frac{2 \,{\mathrm e}}{x}-{\mathrm e}\right)\right)\right)}{4}$&$44$\\ default&$-\frac{{\mathrm e} \left(6 \,{\mathrm e}^{-2} \left(\frac{2 \,{\mathrm e}}{x}-{\mathrm e}\right)-4 \,{\mathrm e}^{-1} \ln \left(\ln \left(\frac{2 \,{\mathrm e}}{x}-{\mathrm e}\right)\right)\right)}{4}$&$44$\\ \hline \end{longtable}"," ",0,"-3/x+ln(ln((2-x)*exp(1)/x))","A"
3717,1,21,22,0.076000," ","int((((16*x-16)*exp(x)-16*x^2+16*x)*exp(x/exp(x+9))+(-4*exp(x)+4)*exp(x+9))*exp(exp(x/exp(x+9)))^4/exp(x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \left(x -{\mathrm e}^{x}\right) {\mathrm e}^{4 \,{\mathrm e}^{x \,{\mathrm e}^{-x -9}}}$&$21$\\ \hline \end{longtable}"," ",0,"4*(x-exp(x))*exp(4*exp(x*exp(-x-9)))","A"
3718,1,22,23,0.055000," ","int(((-2*x^2-5*x-3)*ln(2*x+3)-2*x^4-5*x^3-3*x^2+2*x)/((2*x^2+3*x)*ln(2*x+3)+2*x^4+7*x^3+6*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\ln \left(x \right)+\ln \left(\ln \left(2 x +3\right)+x \left(2+x \right)\right)$&$22$\\ norman&$-x -\ln \left(x \right)+\ln \left(x^{2}+\ln \left(2 x +3\right)+2 x \right)$&$23$\\ \hline \end{longtable}"," ",0,"-x-ln(x)+ln(ln(2*x+3)+x*(2+x))","A"
3719,1,18,21,0.140000," ","int((-30*ln(5)-45*x^2-60*x)*exp((15*x*ln(5)+15*x^2)/(12*x+8))^4/(9*x^2+12*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{15 x \left(\ln \left(5\right)+x \right)}{3 x +2}}$&$18$\\ gosper&$-{\mathrm e}^{\frac{15 x \left(\ln \left(5\right)+x \right)}{3 x +2}}$&$20$\\ norman&$\frac{-2 \,{\mathrm e}^{\frac{60 x \ln \left(5\right)+60 x^{2}}{12 x +8}}-3 x \,{\mathrm e}^{\frac{60 x \ln \left(5\right)+60 x^{2}}{12 x +8}}}{3 x +2}$&$59$\\ \hline \end{longtable}"," ",0,"-exp(15*x*(ln(5)+x)/(3*x+2))","A"
3720,1,31,31,0.151000," ","int((4*x*exp(2)^3+(-6*x^6-2*x^2)*exp(2)^2+(-3*x^2+1)*exp(2)+2*x^7-4*x^5+2*x^3)/(4*x^4*exp(2)^4+(-4*x^5+4*x^3)*exp(2)^2+x^6-2*x^4+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x^{5}+{\mathrm e}^{2}-x}{x \left(2 x \,{\mathrm e}^{4}-x^{2}+1\right)}$&$31$\\ norman&$\frac{-x^{5}+x -{\mathrm e}^{2}}{x \left(2 x \,{\mathrm e}^{4}-x^{2}+1\right)}$&$32$\\ risch&$2 x \,{\mathrm e}^{4}+x^{2}+\frac{-4 \left(2 \,{\mathrm e}^{8}+1\right) {\mathrm e}^{4} x^{2}-4 x \,{\mathrm e}^{8}-{\mathrm e}^{2}}{x \left(2 x \,{\mathrm e}^{4}-x^{2}+1\right)}$&$52$\\ default&$2 x \,{\mathrm e}^{4}+x^{2}+\frac{\left(\munderset{\textit{\_R} =\RootOf \left(1+\textit{\_Z}^{4}-4 \textit{\_Z}^{3} {\mathrm e}^{4}+\left(4 \,{\mathrm e}^{8}-2\right) \textit{\_Z}^{2}+4 \textit{\_Z} \,{\mathrm e}^{4}\right)}{\sum}\frac{\left(\left(-8 \,{\mathrm e}^{12}-{\mathrm e}^{2}-4 \,{\mathrm e}^{4}\right) \textit{\_R}^{2}+4 \left(-2 \,{\mathrm e}^{8}+{\mathrm e}^{6}\right) \textit{\_R} -{\mathrm e}^{2}-4 \,{\mathrm e}^{4}-4 \,{\mathrm e}^{10}\right) \ln \left(x -\textit{\_R} \right)}{2 \textit{\_R} \,{\mathrm e}^{8}-3 \textit{\_R}^{2} {\mathrm e}^{4}+\textit{\_R}^{3}+{\mathrm e}^{4}-\textit{\_R}}\right)}{4}-\frac{{\mathrm e}^{2}}{x}$&$120$\\ \hline \end{longtable}"," ",0,"-1/x*(x^5+exp(2)-x)/(2*x*exp(2)^2-x^2+1)","A"
3721,1,108,25,0.307000," ","int(((x^4+7*x^3+12*x^2)*exp(x)*ln(4*x^2+32*x+64)+(-x^4-10*x^3-42*x^2-40*x)*exp(x)+3*x^3+12*x^2)*exp(x^3*exp(x)*ln(4*x^2+32*x+64)+(-x^3-5*x^2)*exp(x)+x^3)/(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4^{{\mathrm e}^{x} x^{3}} \left(4+x \right)^{2 \,{\mathrm e}^{x} x^{3}} {\mathrm e}^{-\frac{x^{2} \left(i {\mathrm e}^{x} x \pi  \mathrm{csgn}\left(i \left(4+x \right)^{2}\right)^{3}-2 i {\mathrm e}^{x} x \pi  \mathrm{csgn}\left(i \left(4+x \right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(4+x \right)\right)+i {\mathrm e}^{x} x \pi  \,\mathrm{csgn}\left(i \left(4+x \right)^{2}\right) \mathrm{csgn}\left(i \left(4+x \right)\right)^{2}+2 \,{\mathrm e}^{x} x +10 \,{\mathrm e}^{x}-2 x \right)}{2}}$&$108$\\ \hline \end{longtable}"," ",0,"4^(exp(x)*x^3)*(4+x)^(2*exp(x)*x^3)*exp(-1/2*x^2*(I*exp(x)*x*Pi*csgn(I*(4+x)^2)^3-2*I*exp(x)*x*Pi*csgn(I*(4+x)^2)^2*csgn(I*(4+x))+I*exp(x)*x*Pi*csgn(I*(4+x)^2)*csgn(I*(4+x))^2+2*exp(x)*x+10*exp(x)-2*x))","C"
3722,1,42,42,0.056000," ","int(((18*x^3+18*x^2)*exp(25*exp(3-x)/x)^2+((-1800*x^2-3600*x-1800)*exp(3-x)-72*x^2)*exp(25*exp(3-x)/x)+(7200*x+7200)*exp(3-x))/x^2/exp(25*exp(3-x)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 x^{2}+18 x +\left(-72 x -72\right) {\mathrm e}^{-\frac{25 \,{\mathrm e}^{3-x}}{x}}+144 \,{\mathrm e}^{-\frac{50 \,{\mathrm e}^{3-x}}{x}}$&$42$\\ norman&$\frac{\left(144 x -72 x \,{\mathrm e}^{\frac{25 \,{\mathrm e}^{3-x}}{x}}+9 x^{3} {\mathrm e}^{\frac{50 \,{\mathrm e}^{3-x}}{x}}-72 \,{\mathrm e}^{\frac{25 \,{\mathrm e}^{3-x}}{x}} x^{2}+18 \,{\mathrm e}^{\frac{50 \,{\mathrm e}^{3-x}}{x}} x^{2}\right) {\mathrm e}^{-\frac{50 \,{\mathrm e}^{3-x}}{x}}}{x}$&$93$\\ \hline \end{longtable}"," ",0,"9*x^2+18*x+(-72*x-72)*exp(-25*exp(3-x)/x)+144*exp(-50*exp(3-x)/x)","A"
3723,1,28,20,0.081000," ","int((((-2*x^3-2*x^2)*exp(x-6)^2+(-4*x^2-4*x)*exp(x-6))*ln(x)+(8*x^3+8*x^2)*exp(x-6)^2+(16*x^2+16*x)*exp(x-6)-1)*exp(x^2*exp(x-6)^2+4*x*exp(x-6)+4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-\ln \left(x \right)+4\right) {\mathrm e}^{x^{2} {\mathrm e}^{2 x -12}+4 x \,{\mathrm e}^{x -6}+4}$&$28$\\ \hline \end{longtable}"," ",0,"(-ln(x)+4)*exp(x^2*exp(2*x-12)+4*x*exp(x-6)+4)","A"
3724,1,28,19,0.158000," ","int((2*(ln(18/5)+I*Pi)*ln(x)+2*ln(18/5)+2*I*Pi)/(ln(x)^2+(4-2*x)*ln(x)+x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(\ln \left(2\right)+2 \ln \left(3\right)-\ln \left(5\right)+i \pi \right) x}{x -\ln \left(x \right)-2}$&$28$\\ norman&$\frac{\left(-2 i \pi -2 \ln \left(18\right)+2 \ln \left(5\right)\right) \ln \left(x \right)-4 i \pi -4 \ln \left(18\right)+4 \ln \left(5\right)}{x -\ln \left(x \right)-2}$&$40$\\ default&$\frac{-2 \ln \left(x \right) \ln \left(18\right)-4 \ln \left(18\right)}{x -\ln \left(x \right)-2}+\frac{-2 i \pi  \ln \left(x \right)-4 i \pi}{x -\ln \left(x \right)-2}+\frac{2 \ln \left(5\right) \ln \left(x \right)+4 \ln \left(5\right)}{x -\ln \left(x \right)-2}$&$67$\\ \hline \end{longtable}"," ",0,"-2*(ln(2)+2*ln(3)-ln(5)+I*Pi)*x/(x-ln(x)-2)","A"
3725,1,84,23,0.398000," ","int(((2*exp(x)*x^2-5*x^2+5*x)*exp(5*x/exp(x))+2*x^2*exp(x)*ln(x^2)+2*exp(x))/(x*exp(x)*exp(5*x/exp(x))+x*exp(x)*ln(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \left({\mathrm e}^{x} x +5\right) {\mathrm e}^{-x}-5 x \,{\mathrm e}^{-x}+\ln \left({\mathrm e}^{5 x \,{\mathrm e}^{-x}}-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)}{2}\right)$&$84$\\ \hline \end{longtable}"," ",0,"x*(exp(x)*x+5)*exp(-x)-5*x*exp(-x)+ln(exp(5*x*exp(-x))-1/2*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)))","C"
3726,1,24,24,0.152000," ","int(((18*x^3+17*x^2-55*x+3)*ln(x^2+x-3)+8*x^3-3*x^2+29*x)/(5*x^2+5*x-15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{9}{5} x^{2}-\frac{1}{5} x \right) \ln \left(x^{2}+x -3\right)-x^{2}$&$24$\\ default&$\frac{9 \ln \left(x^{2}+x -3\right) x^{2}}{5}-x^{2}-\frac{\ln \left(x^{2}+x -3\right) x}{5}$&$29$\\ norman&$\frac{9 \ln \left(x^{2}+x -3\right) x^{2}}{5}-x^{2}-\frac{\ln \left(x^{2}+x -3\right) x}{5}$&$29$\\ \hline \end{longtable}"," ",0,"(9/5*x^2-1/5*x)*ln(x^2+x-3)-x^2","A"
3727,1,14,17,0.102000," ","int(((-4*x^2-8*x-4)*ln(2)-5)/(x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x \ln \left(2\right)+\frac{5}{x +1}$&$14$\\ risch&$-4 x \ln \left(2\right)+\frac{5}{x +1}$&$14$\\ norman&$\frac{-4 x^{2} \ln \left(2\right)+5+4 \ln \left(2\right)}{x +1}$&$20$\\ gosper&$-\frac{4 x^{2} \ln \left(2\right)-5-4 \ln \left(2\right)}{x +1}$&$21$\\ meijerg&$-\frac{5 x}{x +1}-4 \ln \left(2\right) \left(\frac{x \left(6+3 x \right)}{3 x +3}-2 \ln \left(x +1\right)\right)-8 \ln \left(2\right) \left(-\frac{x}{x +1}+\ln \left(x +1\right)\right)-\frac{4 \ln \left(2\right) x}{x +1}$&$61$\\ \hline \end{longtable}"," ",0,"-4*x*ln(2)+5/(x+1)","A"
3728,1,39,28,0.109000," ","int(((4096*x^7-4096*x^6+2048*x^5-1024*x^4-464*x^3-112*x^2-80*x-16)*exp(2*x^2/(16*x^3+3*x+1))+1024*x^8-2048*x^7+384*x^6-640*x^5-220*x^4-48*x^3-44*x^2-8*x)*exp(x)/((4096*x^8+1536*x^6+512*x^5+144*x^4+96*x^3+16*x^2)*exp(2*x^2/(16*x^3+3*x+1))^2+(2048*x^9+768*x^7+256*x^6+72*x^5+48*x^4+8*x^3)*exp(2*x^2/(16*x^3+3*x+1))+256*x^10+96*x^8+32*x^7+9*x^6+6*x^5+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{x}}{x \left(4 \,{\mathrm e}^{\frac{2 x^{2}}{\left(4 x +1\right) \left(4 x^{2}-x +1\right)}}+x \right)}$&$39$\\ \hline \end{longtable}"," ",0,"4*exp(x)/x/(4*exp(2*x^2/(4*x+1)/(4*x^2-x+1))+x)","A"
3729,1,37,27,0.074000," ","int(((-exp(x)*x^2-x^3+x^2)*ln(-2*exp(x)-2*x+2)+(exp(x)*x^2+x^3-x^2)*ln(x*exp(1))+(1-exp(x)-x)*ln(x)+(-x^3+x^2+1)*exp(x)-x^2+x-1)/(exp(x)*x^2+x^3-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(-2 \,{\mathrm e}^{x}-2 x +2\right)+\frac{2 x^{2} \ln \left(x \right)+2 x^{2}+2 \ln \left(x \right)}{2 x}$&$37$\\ \hline \end{longtable}"," ",0,"-x*ln(-2*exp(x)-2*x+2)+1/2*(2*x^2*ln(x)+2*x^2+2*ln(x))/x","A"
3730,1,115,29,0.028000," ","int(1/25*((96*x^8+160*x^7-576*x^6-288*x^5+928*x^4-320*x^3)*ln(x)^3+(-320*x^7-512*x^6+1728*x^5+768*x^4-1856*x^3+256*x)*ln(x)^2+(64*x^7+384*x^6-192*x^5-1536*x^4+1472*x^3-1280*x^2+1536*x-512)*ln(x)-128*x^6-256*x^5+1152*x^4+768*x^3-3712*x^2+2560*x-512)/x^3/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x^{6}}{25}+\frac{32 x^{5}}{25}-\frac{144 x^{4}}{25}-\frac{96 x^{3}}{25}+\frac{464 x^{2}}{25}-\frac{64 x}{5}-\frac{64 \left(x^{7} \ln \left(x \right)+2 x^{6} \ln \left(x \right)-x^{6}-9 x^{5} \ln \left(x \right)-2 x^{5}-6 x^{4} \ln \left(x \right)+9 x^{4}+29 x^{3} \ln \left(x \right)+6 x^{3}-20 x^{2} \ln \left(x \right)-29 x^{2}+4 x \ln \left(x \right)+20 x -4\right)}{25 x^{2} \ln \left(x \right)^{2}}$&$115$\\ default&$-\frac{64 x}{5}+\frac{384 x^{2}}{25 \ln \left(x \right)}-\frac{1856 x}{25 \ln \left(x \right)}+\frac{16 x^{6}}{25}+\frac{32 x^{5}}{25}-\frac{144 x^{4}}{25}-\frac{96 x^{3}}{25}+\frac{464 x^{2}}{25}+\frac{256}{25 x^{2} \ln \left(x \right)^{2}}-\frac{256}{5 x \ln \left(x \right)^{2}}-\frac{576 x^{2}}{25 \ln \left(x \right)^{2}}+\frac{1856}{25 \ln \left(x \right)^{2}}-\frac{128 x^{4}}{25 \ln \left(x \right)}+\frac{256}{5 \ln \left(x \right)}+\frac{576 x^{3}}{25 \ln \left(x \right)}+\frac{64 x^{4}}{25 \ln \left(x \right)^{2}}-\frac{64 x^{5}}{25 \ln \left(x \right)}-\frac{384 x}{25 \ln \left(x \right)^{2}}-\frac{256}{25 x \ln \left(x \right)}+\frac{128 x^{3}}{25 \ln \left(x \right)^{2}}$&$146$\\ \hline \end{longtable}"," ",0,"16/25*x^6+32/25*x^5-144/25*x^4-96/25*x^3+464/25*x^2-64/5*x-64/25*(x^7*ln(x)+2*x^6*ln(x)-x^6-9*x^5*ln(x)-2*x^5-6*x^4*ln(x)+9*x^4+29*x^3*ln(x)+6*x^3-20*x^2*ln(x)-29*x^2+4*x*ln(x)+20*x-4)/x^2/ln(x)^2","B"
3731,1,10,17,0.037000," ","int((-2*x*ln(x)+3+x)/(5*x^4+45*x^3+135*x^2+135*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(x \right)}{5 \left(3+x \right)^{2}}$&$10$\\ risch&$\frac{\ln \left(x \right)}{5 x^{2}+30 x +45}$&$15$\\ default&$\frac{\ln \left(x \right)}{45}-\frac{\ln \left(x \right) x \left(x +6\right)}{45 \left(3+x \right)^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"1/5*ln(x)/(3+x)^2","A"
3732,1,38,22,0.167000," ","int(((-x*ln(3)^2+x*ln(3))*ln(x)+(x^3-8*x^2+15*x-4)*ln(3)^2+(-2*x^3+8*x^2+x)*ln(3)+x^3)/((x^3-8*x^2+16*x)*ln(3)^2+(-2*x^3+8*x^2)*ln(3)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(3\right) \ln \left(x \right)+\left(\ln \left(3\right)-1\right) x^{2}+\left(-\frac{7 \ln \left(3\right)}{2}-\frac{1}{2}\right) x}{x \ln \left(3\right)-4 \ln \left(3\right)-x}$&$38$\\ risch&$\frac{\ln \left(3\right) \ln \left(x \right)}{x \ln \left(3\right)-4 \ln \left(3\right)-x}+\frac{x^{2} \ln \left(3\right)-4 x \ln \left(3\right)-x^{2}+2 \ln \left(3\right)}{x \ln \left(3\right)-4 \ln \left(3\right)-x}$&$57$\\ default&$x -\frac{\ln \left(x \right)}{4}+\frac{\ln \left(x \ln \left(3\right)-4 \ln \left(3\right)-x \right) \ln \left(3\right)}{4 \ln \left(3\right)-4}-\frac{\ln \left(x \ln \left(3\right)-4 \ln \left(3\right)-x \right)}{4 \left(\ln \left(3\right)-1\right)}+\frac{2 \ln \left(3\right)}{x \ln \left(3\right)-4 \ln \left(3\right)-x}-\frac{\ln \left(3\right) \ln \left(\left(\ln \left(3\right)-1\right) x -4 \ln \left(3\right)\right)}{4 \left(\ln \left(3\right)-1\right)}+\frac{x \ln \left(3\right) \ln \left(x \right)}{4 x \ln \left(3\right)-16 \ln \left(3\right)-4 x}+\frac{\ln \left(\left(\ln \left(3\right)-1\right) x -4 \ln \left(3\right)\right)}{4 \ln \left(3\right)-4}-\frac{\ln \left(x \right) x}{4 \left(x \ln \left(3\right)-4 \ln \left(3\right)-x \right)}$&$151$\\ \hline \end{longtable}"," ",0,"(ln(3)*ln(x)+(ln(3)-1)*x^2+(-7/2*ln(3)-1/2)*x)/(x*ln(3)-4*ln(3)-x)","A"
3733,1,7,6,0.091000," ","int(75/(75*x-124),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(75 x -124\right)$&$7$\\ norman&$\ln \left(75 x -124\right)$&$7$\\ meijerg&$\ln \left(1-\frac{75 x}{124}\right)$&$7$\\ risch&$\ln \left(75 x -124\right)$&$7$\\ \hline \end{longtable}"," ",0,"ln(75*x-124)","A"
3734,1,1553,22,81.451000," ","int(((-879*x^5+2*x)*exp(220*ln(x^4+2)-1100)-2*x^4-4)*exp((-x*exp(220*ln(x^4+2)-1100)+1)/x^2)/(x^7+2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$1553$\\ \hline \end{longtable}"," 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3735,1,18,19,0.032000," ","int((-81*x+243)/(81*x*ln(2*x^3/exp(exp(5)^2))-81*x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-x +\ln \left(2 x^{3} {\mathrm e}^{-{\mathrm e}^{10}}\right)-\frac{4}{81}\right)$&$18$\\ norman&$\ln \left(81 x -81 \ln \left(2 x^{3} {\mathrm e}^{-{\mathrm e}^{10}}\right)+4\right)$&$22$\\ \hline \end{longtable}"," ",0,"ln(-x+ln(2*x^3*exp(-exp(10)))-4/81)","A"
3736,1,27,23,0.066000," ","int(((8*exp(x)^2+(-8*x+24)*exp(x)+8*x^2-8*x-24)*exp(-1/(exp(x)-x))+(2*x+1055)*exp(x)^2+(-4*x^2-2110*x)*exp(x)+2*x^3+1055*x^2)/(4*exp(x)^2-8*exp(x)*x+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{4}+\frac{1055 x}{4}+\left(2 x +6\right) {\mathrm e}^{-\frac{1}{{\mathrm e}^{x}-x}}$&$27$\\ norman&$\frac{\frac{1055 x^{2}}{4}+\frac{x^{3}}{4}-\frac{1055 \,{\mathrm e}^{x} x}{4}-\frac{{\mathrm e}^{x} x^{2}}{4}+6 \,{\mathrm e}^{-\frac{1}{{\mathrm e}^{x}-x}} x +2 \,{\mathrm e}^{-\frac{1}{{\mathrm e}^{x}-x}} x^{2}-6 \,{\mathrm e}^{-\frac{1}{{\mathrm e}^{x}-x}} {\mathrm e}^{x}-2 \,{\mathrm e}^{-\frac{1}{{\mathrm e}^{x}-x}} {\mathrm e}^{x} x}{x -{\mathrm e}^{x}}$&$94$\\ \hline \end{longtable}"," ",0,"1/4*x^2+1055/4*x+(2*x+6)*exp(-1/(exp(x)-x))","A"
3737,1,16,19,0.093000," ","int(((x-1)*exp(x-2)^2+200*x)*exp(x)/x^2/exp(x-2)^2/exp(100/exp(x-2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x -100 \,{\mathrm e}^{4-2 x}}}{x}$&$16$\\ norman&$\frac{{\mathrm e}^{-4} {\mathrm e}^{4} {\mathrm e}^{x} {\mathrm e}^{-100 \,{\mathrm e}^{4-2 x}}}{x}$&$28$\\ \hline \end{longtable}"," ",0,"1/x*exp(x-100*exp(4-2*x))","A"
3738,1,92,21,0.591000," ","int((((40*exp(1)-160)*exp(5)^2+((80*x+40)*exp(1)-320*x-160)*exp(5)+(40*x^2+40*x)*exp(1)-160*x^2-160*x)*exp(x)-32*exp(5)-32*x-32)/(((25*exp(1)^2-200*exp(1)+450)*exp(5)^3+(75*x*exp(1)^2-600*x*exp(1)+1350*x)*exp(5)^2+(75*x^2*exp(1)^2-600*x^2*exp(1)+1350*x^2)*exp(5)+25*x^3*exp(1)^2-200*x^3*exp(1)+450*x^3)*exp(x)^2+((-40*exp(1)+160)*exp(5)^2+(-80*x*exp(1)+320*x)*exp(5)-40*x^2*exp(1)+160*x^2)*exp(x)+16*exp(5)+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x +\ln \left({\mathrm e}^{2 x}-\frac{8 \left({\mathrm e}-4\right) {\mathrm e}^{x}}{5 \left({\mathrm e}^{7}-8 \,{\mathrm e}^{6}+18 \,{\mathrm e}^{5}+{\mathrm e}^{2} x -8 x \,{\mathrm e}+18 x \right)}+\frac{16}{25 \left({\mathrm e}^{12}-8 \,{\mathrm e}^{11}+18 \,{\mathrm e}^{10}+2 x \,{\mathrm e}^{7}-16 x \,{\mathrm e}^{6}+36 x \,{\mathrm e}^{5}+x^{2} {\mathrm e}^{2}-8 x^{2} {\mathrm e}+18 x^{2}\right)}\right)$&$92$\\ norman&$-2 x -2 \ln \left({\mathrm e}^{5}+x \right)+\ln \left(25 \,{\mathrm e}^{10} {\mathrm e}^{2} {\mathrm e}^{2 x}+50 \,{\mathrm e}^{5} {\mathrm e}^{2} {\mathrm e}^{2 x} x +25 \,{\mathrm e}^{2} {\mathrm e}^{2 x} x^{2}-200 \,{\mathrm e}^{10} {\mathrm e} \,{\mathrm e}^{2 x}-400 \,{\mathrm e}^{5} {\mathrm e} \,{\mathrm e}^{2 x} x -200 \,{\mathrm e} \,{\mathrm e}^{2 x} x^{2}+450 \,{\mathrm e}^{10} {\mathrm e}^{2 x}+900 x \,{\mathrm e}^{5} {\mathrm e}^{2 x}+450 \,{\mathrm e}^{2 x} x^{2}-40 \,{\mathrm e}^{5} {\mathrm e} \,{\mathrm e}^{x}-40 x \,{\mathrm e} \,{\mathrm e}^{x}+160 \,{\mathrm e}^{5} {\mathrm e}^{x}+160 \,{\mathrm e}^{x} x +16\right)$&$143$\\ \hline \end{longtable}"," ",0,"-2*x+ln(exp(2*x)-8/5*(exp(1)-4)/(exp(7)-8*exp(6)+18*exp(5)+exp(2)*x-8*x*exp(1)+18*x)*exp(x)+16/25/(exp(12)-8*exp(11)+18*exp(10)+2*x*exp(7)-16*x*exp(6)+36*x*exp(5)+x^2*exp(2)-8*x^2*exp(1)+18*x^2))","B"
3739,1,8,9,0.018000," ","int(1/ln(ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{\ln \left(\ln \left(3\right)\right)}$&$8$\\ norman&$\frac{x}{\ln \left(\ln \left(3\right)\right)}$&$8$\\ risch&$\frac{x}{\ln \left(\ln \left(3\right)\right)}$&$8$\\ \hline \end{longtable}"," ",0,"x/ln(ln(3))","A"
3740,1,53,42,0.181000," ","int((72*ln(2)^3+4*((108*x-27)*ln(3)-135)*ln(2)^2+2*((432*x^2-216*x+28)*ln(3)^2+(-1080*x+270)*ln(3)+675)*ln(2)+(576*x^3-432*x^2+104*x-10)*ln(3)^3+(-2160*x^2+1080*x-140)*ln(3)^2+(2700*x-675)*ln(3)-1125)/(72*ln(2)^3+4*((108*x-27)*ln(3)-135)*ln(2)^2+2*((432*x^2-216*x+27)*ln(3)^2+(-1080*x+270)*ln(3)+675)*ln(2)+(576*x^3-432*x^2+108*x-9)*ln(3)^3+(-2160*x^2+1080*x-135)*ln(3)^2+(2700*x-675)*ln(3)-1125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{\left(\ln \left(3\right)-2 \ln \left(2\right)+5\right) \ln \left(3\right)}{36 \left(4 x \ln \left(3\right)-\ln \left(3\right)+2 \ln \left(2\right)-5\right)^{2}}+\frac{\ln \left(3\right)}{144 x \ln \left(3\right)-36 \ln \left(3\right)+72 \ln \left(2\right)-180}$&$53$\\ risch&$x +\frac{x \ln \left(3\right)^{2}}{144 x^{2} \ln \left(3\right)^{2}-72 x \ln \left(3\right)^{2}+144 x \ln \left(2\right) \ln \left(3\right)+9 \ln \left(3\right)^{2}-36 \ln \left(2\right) \ln \left(3\right)-360 x \ln \left(3\right)+36 \ln \left(2\right)^{2}+90 \ln \left(3\right)-180 \ln \left(2\right)+225}$&$66$\\ norman&$\frac{\left(-\frac{26 \ln \left(3\right)^{2}}{9}+12 \ln \left(2\right) \ln \left(3\right)-12 \ln \left(2\right)^{2}-30 \ln \left(3\right)+60 \ln \left(2\right)-75\right) x +16 x^{3} \ln \left(3\right)^{2}+\frac{\ln \left(3\right)^{3}-6 \ln \left(2\right) \ln \left(3\right)^{2}+12 \ln \left(2\right)^{2} \ln \left(3\right)-8 \ln \left(2\right)^{3}+15 \ln \left(3\right)^{2}-60 \ln \left(2\right) \ln \left(3\right)+60 \ln \left(2\right)^{2}+75 \ln \left(3\right)-150 \ln \left(2\right)+125}{2 \ln \left(3\right)}}{\left(4 x \ln \left(3\right)-\ln \left(3\right)+2 \ln \left(2\right)-5\right)^{2}}$&$119$\\ gosper&$\frac{288 x^{3} \ln \left(3\right)^{3}-52 x \ln \left(3\right)^{3}+216 x \ln \left(2\right) \ln \left(3\right)^{2}-216 \ln \left(3\right) \ln \left(2\right)^{2} x +9 \ln \left(3\right)^{3}-54 \ln \left(2\right) \ln \left(3\right)^{2}-540 x \ln \left(3\right)^{2}+108 \ln \left(2\right)^{2} \ln \left(3\right)+1080 x \ln \left(2\right) \ln \left(3\right)-72 \ln \left(2\right)^{3}+135 \ln \left(3\right)^{2}-540 \ln \left(2\right) \ln \left(3\right)-1350 x \ln \left(3\right)+540 \ln \left(2\right)^{2}+675 \ln \left(3\right)-1350 \ln \left(2\right)+1125}{18 \ln \left(3\right) \left(16 x^{2} \ln \left(3\right)^{2}-8 x \ln \left(3\right)^{2}+16 x \ln \left(2\right) \ln \left(3\right)+\ln \left(3\right)^{2}-4 \ln \left(2\right) \ln \left(3\right)-40 x \ln \left(3\right)+4 \ln \left(2\right)^{2}+10 \ln \left(3\right)-20 \ln \left(2\right)+25\right)}$&$172$\\ \hline \end{longtable}"," ",0,"x+1/36*(ln(3)-2*ln(2)+5)*ln(3)/(4*x*ln(3)-ln(3)+2*ln(2)-5)^2+1/36*ln(3)/(4*x*ln(3)-ln(3)+2*ln(2)-5)","A"
3741,1,28,27,0.145000," ","int(((-15*x^3-5*x^2)*exp(3*x)*exp(x*exp(3*x))+2*(-exp(1)-x^2)*ln(2)-exp(1)-x^2)/(2*x^2*ln(2)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{{\mathrm e}}{x}-\frac{5 \,{\mathrm e}^{x \,{\mathrm e}^{3 x}}}{1+2 \ln \left(2\right)}$&$28$\\ norman&$\frac{-x^{2}-\frac{5 x \,{\mathrm e}^{x \,{\mathrm e}^{3 x}}}{1+2 \ln \left(2\right)}+{\mathrm e}}{x}$&$31$\\ \hline \end{longtable}"," ",0,"-x+exp(1)/x-5/(1+2*ln(2))*exp(x*exp(3*x))","A"
3742,1,31,25,0.097000," ","int((-3*exp(x)*x^2-5*x+5)*exp(((x^3+1)*exp(x)-5*x)/exp(x))*exp((-ln(3)*exp(((x^3+1)*exp(x)-5*x)/exp(x))+3)/ln(3))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{-\ln \left(3\right) {\mathrm e}^{\left(\left(x^{3}+1\right) {\mathrm e}^{x}-5 x \right) {\mathrm e}^{-x}}+3}{\ln \left(3\right)}}$&$31$\\ risch&${\mathrm e}^{-\frac{\ln \left(3\right) {\mathrm e}^{\left({\mathrm e}^{x} x^{3}+{\mathrm e}^{x}-5 x \right) {\mathrm e}^{-x}}-3}{\ln \left(3\right)}}$&$31$\\ \hline \end{longtable}"," ",0,"exp((-ln(3)*exp(((x^3+1)*exp(x)-5*x)/exp(x))+3)/ln(3))","A"
3743,1,11,10,0.021000," ","int((ln(ln(x))-x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right) \ln \left(\ln \left(x \right)\right)-x$&$11$\\ norman&$\ln \left(x \right) \ln \left(\ln \left(x \right)\right)-x$&$11$\\ risch&$\ln \left(x \right) \ln \left(\ln \left(x \right)\right)-x$&$11$\\ \hline \end{longtable}"," ",0,"ln(x)*ln(ln(x))-x","A"
3744,1,10,15,0.150000," ","int(-12/(exp(1)^2+(2*x-36)*exp(1)+x^2-36*x+324),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{12}{{\mathrm e}+x -18}$&$10$\\ norman&$\frac{12}{{\mathrm e}+x -18}$&$10$\\ risch&$\frac{12}{{\mathrm e}+x -18}$&$10$\\ meijerg&$\frac{12 x}{\left({\mathrm e}-18\right) \left(-{\mathrm e}+18\right) \left(1-\frac{x}{-{\mathrm e}+18}\right)}$&$33$\\ \hline \end{longtable}"," ",0,"12/(exp(1)+x-18)","A"
3745,0,0,25,0.066000," ","int(((3000*x^4-1300*x^3+460*x^2+1976*x+400)*ln(((-75*x^2+30*x-3)*ln((x^2+4)*exp(3))+25*x)/(75*x^2-30*x+3))^3+(45000*x^4-19500*x^3+6900*x^2+29640*x+6000)*ln(((-75*x^2+30*x-3)*ln((x^2+4)*exp(3))+25*x)/(75*x^2-30*x+3))^2+(225000*x^4-97500*x^3+34500*x^2+148200*x+30000)*ln(((-75*x^2+30*x-3)*ln((x^2+4)*exp(3))+25*x)/(75*x^2-30*x+3))+375000*x^4-162500*x^3+57500*x^2+247000*x+50000)/((375*x^5-225*x^4+1545*x^3-903*x^2+180*x-12)*ln((x^2+4)*exp(3))-125*x^4+25*x^3-500*x^2+100*x),x)","\[\int \frac{\left(3000 x^{4}-1300 x^{3}+460 x^{2}+1976 x +400\right) \ln \left(\frac{\left(-75 x^{2}+30 x -3\right) \ln \left(\left(x^{2}+4\right) {\mathrm e}^{3}\right)+25 x}{75 x^{2}-30 x +3}\right)^{3}+\left(45000 x^{4}-19500 x^{3}+6900 x^{2}+29640 x +6000\right) \ln \left(\frac{\left(-75 x^{2}+30 x -3\right) \ln \left(\left(x^{2}+4\right) {\mathrm e}^{3}\right)+25 x}{75 x^{2}-30 x +3}\right)^{2}+\left(225000 x^{4}-97500 x^{3}+34500 x^{2}+148200 x +30000\right) \ln \left(\frac{\left(-75 x^{2}+30 x -3\right) \ln \left(\left(x^{2}+4\right) {\mathrm e}^{3}\right)+25 x}{75 x^{2}-30 x +3}\right)+375000 x^{4}-162500 x^{3}+57500 x^{2}+247000 x +50000}{\left(375 x^{5}-225 x^{4}+1545 x^{3}-903 x^{2}+180 x -12\right) \ln \left(\left(x^{2}+4\right) {\mathrm e}^{3}\right)-125 x^{4}+25 x^{3}-500 x^{2}+100 x}\, dx\]"," ",0,"int(((3000*x^4-1300*x^3+460*x^2+1976*x+400)*ln(((-75*x^2+30*x-3)*ln((x^2+4)*exp(3))+25*x)/(75*x^2-30*x+3))^3+(45000*x^4-19500*x^3+6900*x^2+29640*x+6000)*ln(((-75*x^2+30*x-3)*ln((x^2+4)*exp(3))+25*x)/(75*x^2-30*x+3))^2+(225000*x^4-97500*x^3+34500*x^2+148200*x+30000)*ln(((-75*x^2+30*x-3)*ln((x^2+4)*exp(3))+25*x)/(75*x^2-30*x+3))+375000*x^4-162500*x^3+57500*x^2+247000*x+50000)/((375*x^5-225*x^4+1545*x^3-903*x^2+180*x-12)*ln((x^2+4)*exp(3))-125*x^4+25*x^3-500*x^2+100*x),x)","F"
3746,1,21,20,0.079000," ","int(1/5*((20*x^3-20*x^2+8*x-16)*exp(2*x)-5*x^5)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{2 \left(5 x^{2}+2\right) {\mathrm e}^{2 x}}{5 x^{4}}$&$21$\\ derivativedivides&$-x +\frac{4 \,{\mathrm e}^{2 x}}{5 x^{4}}+\frac{2 \,{\mathrm e}^{2 x}}{x^{2}}$&$23$\\ default&$-x +\frac{4 \,{\mathrm e}^{2 x}}{5 x^{4}}+\frac{2 \,{\mathrm e}^{2 x}}{x^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"-x+2/5*(5*x^2+2)/x^4*exp(2*x)","A"
3747,1,144,28,0.087000," ","int(1/625*(100*x^4+900*x^3+2200*x^2+800*x)*exp(2)*exp(x)^4+1/625*((-20*x^4-200*x^3-560*x^2-320*x)*exp(1)-100*x^5-1050*x^4-3200*x^3-2400*x^2)*exp(2)*exp(x)^2+1/625*((4*x^3+24*x^2+32*x)*exp(1)^2+(50*x^4+320*x^3+480*x^2)*exp(1)+150*x^5+1000*x^4+1600*x^3)*exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(25 x^{4}+200 x^{3}+400 x^{2}\right) {\mathrm e}^{4 x +2}}{625}+\frac{\left(-10 x^{4} {\mathrm e}-50 x^{5}-80 x^{3} {\mathrm e}-400 x^{4}-160 x^{2} {\mathrm e}-800 x^{3}\right) {\mathrm e}^{2 x +2}}{625}+\frac{x^{6} {\mathrm e}^{2}}{25}+\frac{2 \,{\mathrm e}^{2} x^{5} {\mathrm e}}{125}+\frac{8 \,{\mathrm e}^{2} x^{5}}{25}+\frac{x^{4} {\mathrm e}^{4}}{625}+\frac{16 \,{\mathrm e}^{2} x^{4} {\mathrm e}}{125}+\frac{16 x^{4} {\mathrm e}^{2}}{25}+\frac{8 x^{3} {\mathrm e}^{4}}{625}+\frac{32 \,{\mathrm e}^{2} x^{3} {\mathrm e}}{125}+\frac{16 x^{2} {\mathrm e}^{4}}{625}$&$144$\\ norman&$\left(\frac{2 \,{\mathrm e} \,{\mathrm e}^{2}}{125}+\frac{8 \,{\mathrm e}^{2}}{25}\right) x^{5}+\left(\frac{8 \left({\mathrm e}^{2}\right)^{2}}{625}+\frac{32 \,{\mathrm e} \,{\mathrm e}^{2}}{125}\right) x^{3}+\left(\frac{\left({\mathrm e}^{2}\right)^{2}}{625}+\frac{16 \,{\mathrm e} \,{\mathrm e}^{2}}{125}+\frac{16 \,{\mathrm e}^{2}}{25}\right) x^{4}+\left(-\frac{32 \,{\mathrm e}^{2}}{25}-\frac{16 \,{\mathrm e} \,{\mathrm e}^{2}}{125}\right) x^{3} {\mathrm e}^{2 x}+\left(-\frac{16 \,{\mathrm e}^{2}}{25}-\frac{2 \,{\mathrm e} \,{\mathrm e}^{2}}{125}\right) x^{4} {\mathrm e}^{2 x}+\frac{x^{6} {\mathrm e}^{2}}{25}+\frac{16 x^{2} \left({\mathrm e}^{2}\right)^{2}}{625}+\frac{16 x^{2} {\mathrm e}^{2} {\mathrm e}^{4 x}}{25}+\frac{8 x^{3} {\mathrm e}^{2} {\mathrm e}^{4 x}}{25}+\frac{x^{4} {\mathrm e}^{2} {\mathrm e}^{4 x}}{25}-\frac{2 \,{\mathrm e}^{2} x^{5} {\mathrm e}^{2 x}}{25}-\frac{32 x^{2} {\mathrm e} \,{\mathrm e}^{2} {\mathrm e}^{2 x}}{125}$&$172$\\ default&$\frac{{\mathrm e}^{2} \left({\mathrm e}^{2} \left(x^{4}+8 x^{3}+16 x^{2}\right)+{\mathrm e} \left(10 x^{5}+80 x^{4}+160 x^{3}\right)+25 x^{6}+200 x^{5}+400 x^{4}\right)}{625}+\frac{{\mathrm e}^{2} \left(-800 \,{\mathrm e}^{2 x} x^{3}-50 x^{5} {\mathrm e}^{2 x}-400 \,{\mathrm e}^{2 x} x^{4}-200 \,{\mathrm e} \left(\frac{{\mathrm e}^{2 x} x^{3}}{2}-\frac{3 \,{\mathrm e}^{2 x} x^{2}}{4}+\frac{3 x \,{\mathrm e}^{2 x}}{4}-\frac{3 \,{\mathrm e}^{2 x}}{8}\right)-320 \,{\mathrm e} \left(\frac{x \,{\mathrm e}^{2 x}}{2}-\frac{{\mathrm e}^{2 x}}{4}\right)-560 \,{\mathrm e} \left(\frac{{\mathrm e}^{2 x} x^{2}}{2}-\frac{x \,{\mathrm e}^{2 x}}{2}+\frac{{\mathrm e}^{2 x}}{4}\right)-20 \,{\mathrm e} \left(\frac{{\mathrm e}^{2 x} x^{4}}{2}-{\mathrm e}^{2 x} x^{3}+\frac{3 \,{\mathrm e}^{2 x} x^{2}}{2}-\frac{3 x \,{\mathrm e}^{2 x}}{2}+\frac{3 \,{\mathrm e}^{2 x}}{4}\right)\right)}{625}+\frac{4 \,{\mathrm e}^{2} \left(\frac{x^{4} {\mathrm e}^{4 x}}{4}+2 x^{3} {\mathrm e}^{4 x}+4 x^{2} {\mathrm e}^{4 x}\right)}{25}$&$250$\\ \hline \end{longtable}"," ",0,"1/625*(25*x^4+200*x^3+400*x^2)*exp(4*x+2)+1/625*(-10*x^4*exp(1)-50*x^5-80*x^3*exp(1)-400*x^4-160*x^2*exp(1)-800*x^3)*exp(2*x+2)+1/25*x^6*exp(2)+2/125*exp(2)*x^5*exp(1)+8/25*exp(2)*x^5+1/625*x^4*exp(2)^2+16/125*exp(2)*x^4*exp(1)+16/25*x^4*exp(2)+8/625*x^3*exp(2)^2+32/125*exp(2)*x^3*exp(1)+16/625*x^2*exp(4)","B"
3748,1,13,11,0.020000," ","int(40*ln(2)+50*x-470,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$5 x \left(5 x +8 \ln \left(2\right)-94\right)$&$13$\\ default&$40 x \ln \left(2\right)+25 x^{2}-470 x$&$15$\\ norman&$\left(40 \ln \left(2\right)-470\right) x +25 x^{2}$&$15$\\ risch&$40 x \ln \left(2\right)+25 x^{2}-470 x$&$15$\\ \hline \end{longtable}"," ",0,"5*x*(5*x+8*ln(2)-94)","A"
3749,1,20,28,0.075000," ","int((-2*ln(3)+2*x^4)*exp((-ln(3)-x^4+6*x^2)/x^2)/x^3/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(\frac{1}{3}\right)^{\frac{1}{x^{2}}} {\mathrm e}^{-x^{2}+6}}{\ln \left(3\right)}$&$20$\\ gosper&$-\frac{{\mathrm e}^{-\frac{x^{4}-6 x^{2}+\ln \left(3\right)}{x^{2}}}}{\ln \left(3\right)}$&$24$\\ norman&$-\frac{{\mathrm e}^{\frac{-\ln \left(3\right)-x^{4}+6 x^{2}}{x^{2}}}}{\ln \left(3\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-(1/3)^(1/x^2)*exp(-x^2+6)/ln(3)","A"
3750,1,23,24,0.143000," ","int(((-3*x^2+6*x)*exp(x+9)+3*x^4-6*x^3+3*x^2)*exp(x/exp(x+9))*exp(-3*x^2*exp(x/exp(x+9))/(x-1))/(5*x^2-10*x+5)/exp(x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{3 x^{2} {\mathrm e}^{x \,{\mathrm e}^{-x -9}}}{x -1}}}{5}$&$23$\\ \hline \end{longtable}"," ",0,"1/5*exp(-3*x^2*exp(x*exp(-x-9))/(x-1))","A"
3751,1,19,18,0.036000," ","int(ln((3*x^2*exp(1)+20*x^2)*ln(ln(5))/exp(1))+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(x^{2} \left(3 \,{\mathrm e}+20\right) \ln \left(\ln \left(5\right)\right) {\mathrm e}^{-1}\right)$&$19$\\ norman&$x \ln \left(\left(3 x^{2} {\mathrm e}+20 x^{2}\right) \ln \left(\ln \left(5\right)\right) {\mathrm e}^{-1}\right)$&$25$\\ default&$-x +x \ln \left(x^{2}\right)+\ln \left(3 \,{\mathrm e}+20\right) x +\ln \left(\ln \left(\ln \left(5\right)\right)\right) x$&$26$\\ \hline \end{longtable}"," ",0,"x*ln(x^2*(3*exp(1)+20)*ln(ln(5))*exp(-1))","A"
3752,1,18,23,0.076000," ","int((exp(x)*exp(exp(x))+40*x*exp(20*x^2)-2)/(exp(exp(x))+exp(20*x^2)+exp(5)-2*x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left({\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{20 x^{2}}+{\mathrm e}^{5}-2 x -5\right)$&$18$\\ default&$\ln \left({\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{20 x^{2}}+{\mathrm e}^{5}-2 x -5\right)$&$18$\\ norman&$\ln \left({\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{20 x^{2}}+{\mathrm e}^{5}-2 x -5\right)$&$18$\\ risch&$\ln \left({\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{20 x^{2}}+{\mathrm e}^{5}-2 x -5\right)$&$18$\\ \hline \end{longtable}"," ",0,"ln(exp(exp(x))+exp(20*x^2)+exp(5)-2*x-5)","A"
3753,1,87,30,0.101000," ","int(((((-12*x^2+42*x+24)*exp(3)^2+36*x^4-90*x^3-198*x^2-72*x)*ln(x-4)+(84*x^2-294*x-168)*exp(3)^2-252*x^4+630*x^3+1386*x^2+504*x)*ln(ln(x-4)-7)+((-x+4)*exp(3)^4+(18*x^3-96*x^2+78*x+72)*exp(3)^2-45*x^5+216*x^4-9*x^3-486*x^2-216*x)*ln(x-4)+(7*x-27)*exp(3)^4+(-126*x^3+666*x^2-552*x-504)*exp(3)^2+315*x^5-1503*x^4+81*x^3+3411*x^2+1512*x)/((9*x-36)*ln(x-4)-63*x+252),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-\frac{2 x^{2} {\mathrm e}^{6}}{3}+x^{4}-\frac{2 x \,{\mathrm e}^{6}}{3}+2 x^{3}+x^{2}\right) \ln \left(\ln \left(x -4\right)-7\right)-\frac{x \,{\mathrm e}^{12}}{9}+\frac{2 x^{3} {\mathrm e}^{6}}{3}-x^{5}-\frac{4 x^{2} {\mathrm e}^{6}}{3}+x^{4}-2 x \,{\mathrm e}^{6}+5 x^{3}+3 x^{2}+\frac{{\mathrm e}^{12} \ln \left(\ln \left(x -4\right)-7\right)}{9}$&$87$\\ \hline \end{longtable}"," ",0,"(-2/3*x^2*exp(6)+x^4-2/3*x*exp(6)+2*x^3+x^2)*ln(ln(x-4)-7)-1/9*x*exp(12)+2/3*x^3*exp(6)-x^5-4/3*x^2*exp(6)+x^4-2*x*exp(6)+5*x^3+3*x^2+1/9*exp(12)*ln(ln(x-4)-7)","B"
3754,1,16,16,0.037000," ","int((-x^3-6*x^2-12*x-10)/(x^3+6*x^2+12*x+8)/exp(exp(1))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-2 \,{\mathrm e}} \left(-x +\frac{1}{\left(2+x \right)^{2}}\right)$&$16$\\ gosper&$-\frac{\left(x^{3}-12 x -17\right) {\mathrm e}^{-2 \,{\mathrm e}}}{x^{2}+4 x +4}$&$26$\\ risch&$-{\mathrm e}^{-2 \,{\mathrm e}} x +\frac{{\mathrm e}^{-2 \,{\mathrm e}}}{x^{2}+4 x +4}$&$26$\\ norman&$\frac{\left(12 \,{\mathrm e}^{-{\mathrm e}} x -{\mathrm e}^{-{\mathrm e}} x^{3}+17 \,{\mathrm e}^{-{\mathrm e}}\right) {\mathrm e}^{-{\mathrm e}}}{\left(2+x \right)^{2}}$&$38$\\ \hline \end{longtable}"," ",0,"1/exp(exp(1))^2*(-x+1/(2+x)^2)","A"
3755,1,222,23,0.138000," ","int((((50*x^2-200*x)*exp(x)^2+(2*x^3-9*x^2+4*x)*exp(x))*ln((-50*x^2+200*x)*exp(x)-2*x^3+9*x^2-4*x)+(-50*x^2+100*x+200)*exp(x)^2+(-6*x^2+18*x-4)*exp(x))/((50*x^2-200*x)*exp(x)+2*x^3-9*x^2+4*x)/ln((-50*x^2+200*x)*exp(x)-2*x^3+9*x^2-4*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i {\mathrm e}^{x}}{\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x^{2}+\left(25 \,{\mathrm e}^{x}-\frac{9}{2}\right) x -100 \,{\mathrm e}^{x}+2\right)\right) \mathrm{csgn}\left(i x \left(x^{2}+\left(25 \,{\mathrm e}^{x}-\frac{9}{2}\right) x -100 \,{\mathrm e}^{x}+2\right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x^{2}+\left(25 \,{\mathrm e}^{x}-\frac{9}{2}\right) x -100 \,{\mathrm e}^{x}+2\right)\right)^{2}+2 \pi  \mathrm{csgn}\left(i x \left(x^{2}+\left(25 \,{\mathrm e}^{x}-\frac{9}{2}\right) x -100 \,{\mathrm e}^{x}+2\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x^{2}+\left(25 \,{\mathrm e}^{x}-\frac{9}{2}\right) x -100 \,{\mathrm e}^{x}+2\right)\right) \mathrm{csgn}\left(i x \left(x^{2}+\left(25 \,{\mathrm e}^{x}-\frac{9}{2}\right) x -100 \,{\mathrm e}^{x}+2\right)\right)^{2}-\pi  \mathrm{csgn}\left(i x \left(x^{2}+\left(25 \,{\mathrm e}^{x}-\frac{9}{2}\right) x -100 \,{\mathrm e}^{x}+2\right)\right)^{3}-2 \pi +2 i \ln \left(x \right)+2 i \ln \left(x^{2}+\left(25 \,{\mathrm e}^{x}-\frac{9}{2}\right) x -100 \,{\mathrm e}^{x}+2\right)}$&$222$\\ \hline \end{longtable}"," ",0,"2*I*exp(x)/(Pi*csgn(I*x)*csgn(I*(x^2+(25*exp(x)-9/2)*x-100*exp(x)+2))*csgn(I*x*(x^2+(25*exp(x)-9/2)*x-100*exp(x)+2))-Pi*csgn(I*x)*csgn(I*x*(x^2+(25*exp(x)-9/2)*x-100*exp(x)+2))^2+2*Pi*csgn(I*x*(x^2+(25*exp(x)-9/2)*x-100*exp(x)+2))^2-Pi*csgn(I*(x^2+(25*exp(x)-9/2)*x-100*exp(x)+2))*csgn(I*x*(x^2+(25*exp(x)-9/2)*x-100*exp(x)+2))^2-Pi*csgn(I*x*(x^2+(25*exp(x)-9/2)*x-100*exp(x)+2))^3-2*Pi+2*I*ln(x)+2*I*ln(x^2+(25*exp(x)-9/2)*x-100*exp(x)+2))","C"
3756,1,27,24,0.035000," ","int((2*ln(x)^4+(-4*x*exp(4)+8*x-8)*ln(x)^3+(-x^3-x^2)*exp(4+x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x \,{\mathrm e}^{4}-2 x +2\right) \ln \left(x \right)^{4}}{x}-x \,{\mathrm e}^{4+x}$&$27$\\ default&$-{\mathrm e}^{4+x} \left(4+x \right)+4 \,{\mathrm e}^{4+x}-\frac{2 \ln \left(x \right)^{4}}{x}-{\mathrm e}^{4} \ln \left(x \right)^{4}+2 \ln \left(x \right)^{4}$&$40$\\ \hline \end{longtable}"," ",0,"-(x*exp(4)-2*x+2)/x*ln(x)^4-x*exp(4+x)","A"
3757,1,42,29,0.606000," ","int((((x^2+x-1)*ln(1/4*x^2)^2+(-x^2+x)*ln(1/4*x^2)+2*x^2-2*x)*exp((-x*ln(1/4*x^2)+x)/ln(1/4*x^2))+(-8*x+4)*ln(1/4*x^2)^2)/(9*x^4-18*x^3+9*x^2)/ln(1/4*x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{9 x \left(x -1\right)}-\frac{{\mathrm e}^{-\frac{x \left(\ln \left(\frac{x^{2}}{4}\right)-1\right)}{\ln \left(\frac{x^{2}}{4}\right)}}}{9 x \left(x -1\right)}$&$42$\\ \hline \end{longtable}"," ",0,"4/9/x/(x-1)-1/9/x/(x-1)*exp(-x*(ln(1/4*x^2)-1)/ln(1/4*x^2))","A"
3758,1,30,27,0.061000," ","int(1/2*((-40*x^4-5)*exp(x^4)^2+2*ln(3)+10*x-15)/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-15 x -5 x \,{\mathrm e}^{2 x^{4}}+5 x^{2}+2 x \ln \left(3\right)}{2 \ln \left(3\right)}$&$30$\\ risch&$-\frac{15 x}{2 \ln \left(3\right)}-\frac{5 x \,{\mathrm e}^{2 x^{4}}}{2 \ln \left(3\right)}+\frac{5 x^{2}}{2 \ln \left(3\right)}+x$&$32$\\ norman&$\frac{5 x^{2}}{2 \ln \left(3\right)}-\frac{5 x \,{\mathrm e}^{2 x^{4}}}{2 \ln \left(3\right)}+\frac{\left(2 \ln \left(3\right)-15\right) x}{2 \ln \left(3\right)}$&$37$\\ \hline \end{longtable}"," ",0,"1/2/ln(3)*(-15*x-5*x*exp(x^4)^2+5*x^2+2*x*ln(3))","A"
3759,1,21,28,0.227000," ","int((4*x^4*exp(3)*ln(2)*ln(x)-4*x^4*exp(3)*ln(2)+(24*x^4-100*x^3)*exp(3))/(8*x^3*ln(2)^3*ln(x)^3+4*(36*x^3-75*x^2)*ln(2)^2*ln(x)^2+2*(432*x^3-1800*x^2+1875*x)*ln(2)*ln(x)+1728*x^3-10800*x^2+22500*x-15625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{4} {\mathrm e}^{3}}{\left(2 x \ln \left(2\right) \ln \left(x \right)+12 x -25\right)^{2}}$&$21$\\ risch&$\frac{x^{4} {\mathrm e}^{3}}{\left(2 x \ln \left(2\right) \ln \left(x \right)+12 x -25\right)^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"x^4*exp(3)/(2*x*ln(2)*ln(x)+12*x-25)^2","A"
3760,1,39,28,0.077000," ","int((-10*ln(x)^2+(-8*exp(2)^2+96)*ln(x)+(-2*x-8)*exp(2)^2+24*x+96)/((3*x^2+10*x)*ln(x)^2+((2*x^2+8*x)*exp(2)^2-24*x^2-96*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)-\ln \left(\ln \left(x \right)\right)+\ln \left(2 x \,{\mathrm e}^{4}+8 \,{\mathrm e}^{4}+3 x \ln \left(x \right)+10 \ln \left(x \right)-24 x -96\right)$&$39$\\ risch&$-\ln \left(x \right)+\ln \left(3 x +10\right)+\ln \left(\ln \left(x \right)+\frac{2 x \,{\mathrm e}^{4}+8 \,{\mathrm e}^{4}-24 x -96}{3 x +10}\right)-\ln \left(\ln \left(x \right)\right)$&$43$\\ \hline \end{longtable}"," ",0,"-ln(x)-ln(ln(x))+ln(2*x*exp(2)^2+8*exp(2)^2+3*x*ln(x)+10*ln(x)-24*x-96)","A"
3761,1,16,16,0.034000," ","int(((1-x)*ln(1-x)-x^2+4*x)/((x-1)*ln(1-x)+x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x +3 \ln \left(\ln \left(1-x \right)+x \right)$&$16$\\ risch&$-x +3 \ln \left(\ln \left(1-x \right)+x \right)$&$16$\\ \hline \end{longtable}"," ",0,"-x+3*ln(ln(1-x)+x)","A"
3762,1,266,32,30.767000," ","int((((-4*exp(x)-4)*ln(x^2)^2+(exp(x)*x^2+x^2)*ln(x^2)-2*exp(x)*x^2-2*x^2)*ln(exp(x)*x+x)+((-3*x^2+x+16)*exp(x)-3*x+16)*ln(x^2)^2+((x^3-2*x^2)*exp(x)-2*x^2)*ln(x^2)+6*exp(x)*x^2+6*x^2)/((((9*x^2-24*x+16)*exp(x)+9*x^2-24*x+16)*ln(x^2)^2+((-6*x^3+8*x^2)*exp(x)-6*x^3+8*x^2)*ln(x^2)+exp(x)*x^4+x^4)*ln(exp(x)*x+x)^2+(((-54*x^2+144*x-96)*exp(x)-54*x^2+144*x-96)*ln(x^2)^2+((36*x^3-48*x^2)*exp(x)+36*x^3-48*x^2)*ln(x^2)-6*exp(x)*x^4-6*x^4)*ln(exp(x)*x+x)+((81*x^2-216*x+144)*exp(x)+81*x^2-216*x+144)*ln(x^2)^2+((-54*x^3+72*x^2)*exp(x)-54*x^3+72*x^2)*ln(x^2)+9*exp(x)*x^4+9*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i x \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)\right)}{\left(3 \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-6 \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+3 \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-4 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+8 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-4 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i x^{2}+12 i x \ln \left(x \right)-16 i \ln \left(x \right)\right) \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{3}+2 i \ln \left(x \right)+2 i \ln \left({\mathrm e}^{x}+1\right)-6 i\right)}$&$266$\\ \hline \end{longtable}"," ",0,"2*I*x*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x))/(3*Pi*x*csgn(I*x)^2*csgn(I*x^2)-6*Pi*x*csgn(I*x)*csgn(I*x^2)^2+3*Pi*x*csgn(I*x^2)^3-4*Pi*csgn(I*x)^2*csgn(I*x^2)+8*Pi*csgn(I*x)*csgn(I*x^2)^2-4*Pi*csgn(I*x^2)^3-2*I*x^2+12*I*x*ln(x)-16*I*ln(x))/(Pi*csgn(I*x)*csgn(I*(exp(x)+1))*csgn(I*x*(exp(x)+1))-Pi*csgn(I*x)*csgn(I*x*(exp(x)+1))^2-Pi*csgn(I*(exp(x)+1))*csgn(I*x*(exp(x)+1))^2+Pi*csgn(I*x*(exp(x)+1))^3+2*I*ln(x)+2*I*ln(exp(x)+1)-6*I)","C"
3763,1,104,25,0.072000," ","int(((6*x^3-36*x^2+54*x)*ln(x)^2+((8*x^2-25*x)*exp(2*x)^4+(24*x^3-24*x^2-164*x)*exp(2*x)^3+(24*x^4+30*x^3-228*x^2-384*x)*exp(2*x)^2+(8*x^5+32*x^4-60*x^3-368*x^2-368*x)*exp(2*x)+3*x^5+4*x^4-48*x^3-144*x^2-112*x)*ln(x)+(3-x)*exp(2*x)^4+(-4*x^2+4*x+24)*exp(2*x)^3+(-6*x^3-6*x^2+48*x+72)*exp(2*x)^2+(-4*x^4-12*x^3+24*x^2+112*x+96)*exp(2*x)-x^5-5*x^4+40*x^2+80*x+48)/(3*x^3-18*x^2+27*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{x^{4}+4 \,{\mathrm e}^{2 x} x^{3}+6 x^{2} {\mathrm e}^{4 x}+4 x \,{\mathrm e}^{6 x}+{\mathrm e}^{8 x}+8 x^{3}+24 \,{\mathrm e}^{2 x} x^{2}+24 x \,{\mathrm e}^{4 x}+8 \,{\mathrm e}^{6 x}+24 x^{2}+48 x \,{\mathrm e}^{2 x}+24 \,{\mathrm e}^{4 x}+32 x +32 \,{\mathrm e}^{2 x}+16}{3 \left(x -3\right) \ln \left(x \right)}$&$104$\\ \hline \end{longtable}"," ",0,"2*x+1/3*(x^4+4*exp(2*x)*x^3+6*x^2*exp(4*x)+4*x*exp(6*x)+exp(8*x)+8*x^3+24*exp(2*x)*x^2+24*x*exp(4*x)+8*exp(6*x)+24*x^2+48*x*exp(2*x)+24*exp(4*x)+32*x+32*exp(2*x)+16)/(x-3)/ln(x)","B"
3764,1,34,24,0.023000," ","int(1/45*(-18*x^6+90*x^5-45*x^4-60*x^3+902*x^2+90*x+900)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{2}}{5}+2 x -\ln \left(x \right)-\frac{5}{x^{4}}+\frac{4}{3 x}-\frac{451}{45 x^{2}}-\frac{2}{3 x^{3}}$&$34$\\ risch&$-\frac{x^{2}}{5}+2 x +\frac{60 x^{3}-451 x^{2}-30 x -225}{45 x^{4}}-\ln \left(x \right)$&$34$\\ norman&$\frac{-5-\frac{2}{3} x -\frac{451}{45} x^{2}+\frac{4}{3} x^{3}+2 x^{5}-\frac{1}{5} x^{6}}{x^{4}}-\ln \left(x \right)$&$35$\\ \hline \end{longtable}"," ",0,"-1/5*x^2+2*x-ln(x)-5/x^4+4/3/x-451/45/x^2-2/3/x^3","A"
3765,1,468,30,0.214000," ","int(((4*x^4+4*x^2)*ln(1/exp(x^2)/x)^2+(-4*x^6-10*x^4-8*x^2-2)*ln(1/exp(x^2)/x)-2*x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(\frac{{\mathrm e}^{-x^{2}}}{x}\right) \ln \left(x \right)+\left(\ln \left(\frac{{\mathrm e}^{-x^{2}}}{x}\right)+\ln \left({\mathrm e}^{x^{2}}\right)+\ln \left(x \right)\right)^{2} x^{4}+2 \left(\ln \left(\frac{{\mathrm e}^{-x^{2}}}{x}\right)+\ln \left({\mathrm e}^{x^{2}}\right)+\ln \left(x \right)\right)^{2} x^{2}+\frac{2 \left(\ln \left(\frac{{\mathrm e}^{-x^{2}}}{x}\right)+\ln \left({\mathrm e}^{x^{2}}\right)+\ln \left(x \right)\right) x^{6}}{3}+\frac{5 \left(\ln \left(\frac{{\mathrm e}^{-x^{2}}}{x}\right)+\ln \left({\mathrm e}^{x^{2}}\right)+\ln \left(x \right)\right) x^{4}}{2}+2 x^{2} \left(\ln \left(\frac{{\mathrm e}^{-x^{2}}}{x}\right)+\ln \left({\mathrm e}^{x^{2}}\right)+\ln \left(x \right)\right)-\frac{2 \ln \left(\frac{{\mathrm e}^{-x^{2}}}{x}\right) x^{6}}{3}-\frac{5 \ln \left(\frac{{\mathrm e}^{-x^{2}}}{x}\right) x^{4}}{2}-4 x^{2} \ln \left(\frac{{\mathrm e}^{-x^{2}}}{x}\right)-4 x^{2} \ln \left(x \right)+2 x^{2} \ln \left(x \right)^{2}-\ln \left(x \right)^{2}-\frac{x^{6}}{2}-3 x^{4}-x^{2}+\frac{4 x^{6} \ln \left(x \right)}{3}+2 \left(\ln \left({\mathrm e}^{x^{2}}\right)-x^{2}\right) x^{4} \ln \left(x \right)+4 \left(\ln \left({\mathrm e}^{x^{2}}\right)-x^{2}\right) x^{2} \ln \left(x \right)+x^{4} \ln \left(x \right)^{2}+\frac{3 x^{4} \ln \left(x \right)}{2}-\frac{2 \ln \left({\mathrm e}^{x^{2}}\right) x^{6}}{3}-2 \ln \left({\mathrm e}^{x^{2}}\right) x^{4}+\ln \left({\mathrm e}^{x^{2}}\right)^{2} x^{4}+2 \ln \left({\mathrm e}^{x^{2}}\right)^{2} x^{2}-\frac{\left(\ln \left({\mathrm e}^{x^{2}}\right)-x^{2}\right) x^{4}}{2}-2 x^{2} \left(\ln \left({\mathrm e}^{x^{2}}\right)-x^{2}\right)-2 \left(\ln \left(\frac{{\mathrm e}^{-x^{2}}}{x}\right)+\ln \left({\mathrm e}^{x^{2}}\right)+\ln \left(x \right)\right) x^{4} \ln \left(x \right)-4 \left(\ln \left(\frac{{\mathrm e}^{-x^{2}}}{x}\right)+\ln \left({\mathrm e}^{x^{2}}\right)+\ln \left(x \right)\right) x^{2} \ln \left(x \right)-2 \left(\ln \left(\frac{{\mathrm e}^{-x^{2}}}{x}\right)+\ln \left({\mathrm e}^{x^{2}}\right)+\ln \left(x \right)\right) \ln \left({\mathrm e}^{x^{2}}\right) x^{4}-4 \left(\ln \left(\frac{{\mathrm e}^{-x^{2}}}{x}\right)+\ln \left({\mathrm e}^{x^{2}}\right)+\ln \left(x \right)\right) \ln \left({\mathrm e}^{x^{2}}\right) x^{2}$&$468$\\ risch&$\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{3}-2 \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{4}+i \pi  \,x^{4} \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{3} \ln \left(x \right)-\frac{\pi^{2} x^{4} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{2}}{4}+\frac{\pi^{2} x^{4} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{3}}{2}+\frac{\pi^{2} x^{4} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{3}}{2}-\pi^{2} x^{4} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{4}-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{2}-i \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) x^{2} \pi -\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{2}}{2}+\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{3}-i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{2}-i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{2}+2 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{3} \ln \left(x \right)+i \pi  \,x^{4} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right) \ln \left(x \right)+2 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right) \ln \left(x \right)+2 x^{2} \ln \left(x \right)^{2}+\ln \left(x \right)^{2}-x^{4}-x^{2}+x^{4} \ln \left(x \right)^{2}-2 i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{2} \ln \left(x \right)-i \pi  \,x^{4} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{2} \ln \left(x \right)-2 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{2} \ln \left(x \right)-i \pi  \,x^{4} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{2} \ln \left(x \right)+i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)+i \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x}\right) x^{2} \pi +i \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{3} x^{2} \pi -\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{4}}{2}+\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{5}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{4}}{2}+\pi^{2} x^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{5}+i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{3}-\frac{\pi^{2} x^{4} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{4}}{4}+\frac{\pi^{2} x^{4} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{5}}{2}-\frac{\pi^{2} x^{4} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{4}}{4}+\frac{\pi^{2} x^{4} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{5}}{2}+\left(x^{4}+2 x^{2}\right) \ln \left({\mathrm e}^{x^{2}}\right)^{2}-\frac{\pi^{2} x^{4} \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{6}}{4}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{6}}{2}+\left(i \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x}\right) x^{4} \pi -i \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right) x^{4} \pi -i \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) x^{4} \pi +i \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{3} x^{4} \pi +2 i \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x}\right) x^{2} \pi -2 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{2}-2 i \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) x^{2} \pi +2 i \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x^{2}}}{x}\right)^{3} x^{2} \pi +2 x^{4} \ln \left(x \right)+4 x^{2} \ln \left(x \right)+2 x^{2}+2 \ln \left(x \right)\right) \ln \left({\mathrm e}^{x^{2}}\right)$&$1450$\\ \hline \end{longtable}"," ",0,"-4*x^2*ln(x)+2*x^2*ln(x)^2-ln(x)^2-1/2*x^6-3*x^4-x^2+4/3*x^6*ln(x)+2*(ln(exp(x^2))-x^2)*x^4*ln(x)+4*(ln(exp(x^2))-x^2)*x^2*ln(x)-2*(ln(1/exp(x^2)/x)+ln(exp(x^2))+ln(x))*x^4*ln(x)-4*(ln(1/exp(x^2)/x)+ln(exp(x^2))+ln(x))*x^2*ln(x)-2*(ln(1/exp(x^2)/x)+ln(exp(x^2))+ln(x))*ln(exp(x^2))*x^4-4*(ln(1/exp(x^2)/x)+ln(exp(x^2))+ln(x))*ln(exp(x^2))*x^2+x^4*ln(x)^2+3/2*x^4*ln(x)-2*ln(1/exp(x^2)/x)*ln(x)+(ln(1/exp(x^2)/x)+ln(exp(x^2))+ln(x))^2*x^4+2*(ln(1/exp(x^2)/x)+ln(exp(x^2))+ln(x))^2*x^2+2/3*(ln(1/exp(x^2)/x)+ln(exp(x^2))+ln(x))*x^6+5/2*(ln(1/exp(x^2)/x)+ln(exp(x^2))+ln(x))*x^4+2*x^2*(ln(1/exp(x^2)/x)+ln(exp(x^2))+ln(x))-2/3*ln(exp(x^2))*x^6-2*ln(exp(x^2))*x^4+ln(exp(x^2))^2*x^4+2*ln(exp(x^2))^2*x^2-1/2*(ln(exp(x^2))-x^2)*x^4-2*x^2*(ln(exp(x^2))-x^2)-2/3*ln(1/exp(x^2)/x)*x^6-5/2*ln(1/exp(x^2)/x)*x^4-4*x^2*ln(1/exp(x^2)/x)","B"
3766,1,27,20,0.195000," ","int(((-9*x-9)*exp(x)-9*ln(5)+45*ln(3)-45*exp(4))/(exp(x)^2*x^2+(2*x^2*ln(5)-10*x^2*ln(3)+10*x^2*exp(4)+4*x)*exp(x)+x^2*ln(5)^2+(-10*x^2*ln(3)+10*x^2*exp(4)+4*x)*ln(5)+25*x^2*ln(3)^2+(-50*x^2*exp(4)-20*x)*ln(3)+25*x^2*exp(4)^2+20*x*exp(4)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{9}{5 x \ln \left(3\right)-x \ln \left(5\right)-5 x \,{\mathrm e}^{4}-{\mathrm e}^{x} x -2}$&$27$\\ risch&$-\frac{9}{5 x \ln \left(3\right)-x \ln \left(5\right)-5 x \,{\mathrm e}^{4}-{\mathrm e}^{x} x -2}$&$27$\\ \hline \end{longtable}"," ",0,"-9/(5*x*ln(3)-x*ln(5)-5*x*exp(4)-exp(x)*x-2)","A"
3767,1,21,25,0.088000," ","int(1/2*((-56*x-2)*exp(x+2*ln(2))+3*x^2+3*x)/x^3/exp(x+2*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{56 x +1}{2 x^{2}}-\frac{3 \,{\mathrm e}^{-x}}{8 x}$&$21$\\ norman&$\frac{\left(-\frac{3 x}{2}+28 \,{\mathrm e}^{x +2 \ln \left(2\right)} x +\frac{{\mathrm e}^{x +2 \ln \left(2\right)}}{2}\right) {\mathrm e}^{-x}}{4 x^{2}}$&$37$\\ derivativedivides&$\frac{1}{2 x^{2}}+\frac{28}{x}-\frac{3 \,{\mathrm e}^{-x -2 \ln \left(2\right)} \left(2 \ln \left(2\right)^{2}-\left(x +2 \ln \left(2\right)\right) \ln \left(2\right)+\ln \left(2\right)+x \right)}{2 x^{2}}-\frac{3 \,{\mathrm e}^{-x -2 \ln \left(2\right)} \ln \left(2\right) \left(2 \ln \left(2\right)^{2}-\left(x +2 \ln \left(2\right)\right) \ln \left(2\right)+\ln \left(2\right)+2 x \right)}{x^{2}}+\frac{9 \ln \left(2\right) {\mathrm e}^{-x -2 \ln \left(2\right)} \left(x +2 \ln \left(2\right)\right)}{2 x^{2}}+\frac{3 \,{\mathrm e}^{-x -2 \ln \left(2\right)} \ln \left(2\right)}{2 x^{2}}-\frac{3 \ln \left(2\right)^{2} {\mathrm e}^{-x -2 \ln \left(2\right)} \left(x +2 \ln \left(2\right)\right)}{x^{2}}+\frac{6 \ln \left(2\right)^{3} {\mathrm e}^{-x -2 \ln \left(2\right)}}{x^{2}}-\frac{6 \,{\mathrm e}^{-x -2 \ln \left(2\right)} \ln \left(2\right)^{2}}{x^{2}}$&$182$\\ default&$\frac{1}{2 x^{2}}+\frac{28}{x}-\frac{3 \,{\mathrm e}^{-x -2 \ln \left(2\right)} \left(2 \ln \left(2\right)^{2}-\left(x +2 \ln \left(2\right)\right) \ln \left(2\right)+\ln \left(2\right)+x \right)}{2 x^{2}}-\frac{3 \,{\mathrm e}^{-x -2 \ln \left(2\right)} \ln \left(2\right) \left(2 \ln \left(2\right)^{2}-\left(x +2 \ln \left(2\right)\right) \ln \left(2\right)+\ln \left(2\right)+2 x \right)}{x^{2}}+\frac{9 \ln \left(2\right) {\mathrm e}^{-x -2 \ln \left(2\right)} \left(x +2 \ln \left(2\right)\right)}{2 x^{2}}+\frac{3 \,{\mathrm e}^{-x -2 \ln \left(2\right)} \ln \left(2\right)}{2 x^{2}}-\frac{3 \ln \left(2\right)^{2} {\mathrm e}^{-x -2 \ln \left(2\right)} \left(x +2 \ln \left(2\right)\right)}{x^{2}}+\frac{6 \ln \left(2\right)^{3} {\mathrm e}^{-x -2 \ln \left(2\right)}}{x^{2}}-\frac{6 \,{\mathrm e}^{-x -2 \ln \left(2\right)} \ln \left(2\right)^{2}}{x^{2}}$&$182$\\ \hline \end{longtable}"," ",0,"1/2*(56*x+1)/x^2-3/8*exp(-x)/x","A"
3768,1,22,18,0.046000," ","int((105*x*ln(x)+500*x^2-640*x+5)/(625*x^3-50*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-5 \ln \left(x \right)+495 x +20 x \ln \left(x \right)}{-1+25 x}$&$22$\\ default&$\frac{99}{5 \left(-1+25 x \right)}+5 \ln \left(x \right)-\frac{105 \ln \left(x \right) x}{-1+25 x}$&$27$\\ risch&$-\frac{21 \ln \left(x \right)}{5 \left(-1+25 x \right)}+\frac{100 x \ln \left(x \right)-4 \ln \left(x \right)+99}{-5+125 x}$&$33$\\ \hline \end{longtable}"," ",0,"(-5*ln(x)+495*x+20*x*ln(x))/(-1+25*x)","A"
3769,1,60,30,0.060000," ","int((((-2*x-4)*exp(x)^2+(-2*x^3+10*x^2+8*x)*exp(x)-6*x^3-4*x^2)*ln(x)-2*exp(x)^3+(3*x-4)*exp(x)^2+(2*x^2+8*x)*exp(x)-3*x^3-4*x^2)*exp((((-x^2-4*x)*exp(x)+3*x^3+4*x^2)*ln(x)-2*exp(x)^2+(2*x+8)*exp(x)-8*x)/(2*exp(x)-2*x))/(2*exp(x)^2-4*exp(x)*x+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x^{2} {\mathrm e}^{x} \ln \left(x \right)-3 x^{3} \ln \left(x \right)+4 x \,{\mathrm e}^{x} \ln \left(x \right)-4 x^{2} \ln \left(x \right)-2 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{2 x}-8 \,{\mathrm e}^{x}+8 x}{2 \left({\mathrm e}^{x}-x \right)}}$&$60$\\ \hline \end{longtable}"," ",0,"exp(-1/2*(x^2*exp(x)*ln(x)-3*x^3*ln(x)+4*x*exp(x)*ln(x)-4*x^2*ln(x)-2*exp(x)*x+2*exp(2*x)-8*exp(x)+8*x)/(exp(x)-x))","A"
3770,1,59,24,0.113000," ","int(1/8*((-7*x^6-46*x^5+12*x^4+40*x^3-188*x^2+264*x-480)*exp(1/4*x)-84*x^6+80*x^5-112*x^4+112*x^2-320*x)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{7 x^{3}}{2}+5 x^{2}-14 x +\frac{-112 x +160}{8 x^{2}}-\frac{\left(7 x^{5}-10 x^{4}+28 x^{3}-40 x^{2}+28 x -40\right) {\mathrm e}^{\frac{x}{4}}}{2 x^{3}}$&$59$\\ derivativedivides&$5 x^{2}-14 x +\frac{20}{x^{2}}-\frac{14}{x}-\frac{7 x^{3}}{2}+\frac{20 \,{\mathrm e}^{\frac{x}{4}}}{x^{3}}-\frac{14 \,{\mathrm e}^{\frac{x}{4}}}{x^{2}}+\frac{20 \,{\mathrm e}^{\frac{x}{4}}}{x}+5 x \,{\mathrm e}^{\frac{x}{4}}-14 \,{\mathrm e}^{\frac{x}{4}}-\frac{7 x^{2} {\mathrm e}^{\frac{x}{4}}}{2}$&$74$\\ default&$5 x^{2}-14 x +\frac{20}{x^{2}}-\frac{14}{x}-\frac{7 x^{3}}{2}+\frac{20 \,{\mathrm e}^{\frac{x}{4}}}{x^{3}}-\frac{14 \,{\mathrm e}^{\frac{x}{4}}}{x^{2}}+\frac{20 \,{\mathrm e}^{\frac{x}{4}}}{x}+5 x \,{\mathrm e}^{\frac{x}{4}}-14 \,{\mathrm e}^{\frac{x}{4}}-\frac{7 x^{2} {\mathrm e}^{\frac{x}{4}}}{2}$&$74$\\ norman&$\frac{20 x -14 x^{2}-14 x^{4}+5 x^{5}-\frac{7 x^{6}}{2}-14 x \,{\mathrm e}^{\frac{x}{4}}+20 x^{2} {\mathrm e}^{\frac{x}{4}}-14 \,{\mathrm e}^{\frac{x}{4}} x^{3}+5 \,{\mathrm e}^{\frac{x}{4}} x^{4}-\frac{7 \,{\mathrm e}^{\frac{x}{4}} x^{5}}{2}+20 \,{\mathrm e}^{\frac{x}{4}}}{x^{3}}$&$78$\\ \hline \end{longtable}"," ",0,"-7/2*x^3+5*x^2-14*x+1/8*(-112*x+160)/x^2-1/2*(7*x^5-10*x^4+28*x^3-40*x^2+28*x-40)/x^3*exp(1/4*x)","B"
3771,1,25,20,0.184000," ","int((-10*ln(2*x)-10*ln(x)-20*x)/(3*x*ln(x)^2*ln(2*x)^2+12*x^2*ln(x)*ln(2*x)+12*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{20 i}{3 \left(2 i \ln \left(2\right) \ln \left(x \right)+2 i \ln \left(x \right)^{2}+4 i x \right)}$&$25$\\ \hline \end{longtable}"," ",0,"20/3*I/(2*I*ln(2)*ln(x)+2*I*ln(x)^2+4*I*x)","C"
3772,1,25,15,0.138000," ","int((((116*x+24)*exp(x)+841*x^3+348*x^2+36*x)*ln((4*exp(x)+29*x^2+6*x)/(29*x+6))+(116*x^2-92*x)*exp(x)+841*x^3+348*x^2+36*x)/((116*x+24)*exp(x)+841*x^3+348*x^2+36*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{4 \,{\mathrm e}^{x}+29 x^{2}+6 x}{29 x +6}\right) x$&$25$\\ risch&$x \ln \left(x^{2}+\frac{6 x}{29}+\frac{4 \,{\mathrm e}^{x}}{29}\right)-x \ln \left(x +\frac{6}{29}\right)-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x +\frac{6}{29}}\right) \mathrm{csgn}\left(i \left(x^{2}+\frac{6 x}{29}+\frac{4 \,{\mathrm e}^{x}}{29}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\frac{6 x}{29}+\frac{4 \,{\mathrm e}^{x}}{29}\right)}{x +\frac{6}{29}}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x +\frac{6}{29}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\frac{6 x}{29}+\frac{4 \,{\mathrm e}^{x}}{29}\right)}{x +\frac{6}{29}}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x^{2}+\frac{6 x}{29}+\frac{4 \,{\mathrm e}^{x}}{29}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\frac{6 x}{29}+\frac{4 \,{\mathrm e}^{x}}{29}\right)}{x +\frac{6}{29}}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x^{2}+\frac{6 x}{29}+\frac{4 \,{\mathrm e}^{x}}{29}\right)}{x +\frac{6}{29}}\right)^{3}}{2}$&$177$\\ \hline \end{longtable}"," ",0,"ln((4*exp(x)+29*x^2+6*x)/(29*x+6))*x","A"
3773,1,18,18,0.043000," ","int(1/20*((-3*x^2+10*x)*ln(x)*ln(ln(x))*ln(ln(ln(x)))-x^2+5*x)/ln(x)/ln(ln(x))/exp(1/2*(2*x^3-10*x^2)*ln(ln(ln(x)))+1/2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(x \right)\right)^{-x^{2} \left(x -5\right)} {\mathrm e}^{-\frac{1}{2}}}{20}$&$18$\\ \hline \end{longtable}"," ",0,"1/20/(ln(ln(x))^(x^2*(x-5)))*exp(-1/2)","A"
3774,1,21,24,0.023000," ","int((3*x+1)*exp(3*x)-12*x^2+30*x-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-3 x +15 x^{2}-4 x^{3}+x \,{\mathrm e}^{3 x}$&$21$\\ default&$-3 x +15 x^{2}-4 x^{3}+x \,{\mathrm e}^{3 x}$&$21$\\ norman&$-3 x +15 x^{2}-4 x^{3}+x \,{\mathrm e}^{3 x}$&$21$\\ risch&$-3 x +15 x^{2}-4 x^{3}+x \,{\mathrm e}^{3 x}$&$21$\\ \hline \end{longtable}"," ",0,"-3*x+15*x^2-4*x^3+x*exp(3*x)","A"
3775,1,28,30,0.089000," ","int(((8*x^4+32*x^2+32)*ln(x)+(9*x^2-18)*exp(9*x/(x^2+2))-12*x^6-44*x^4-32*x^2+16)/(x^4+4*x^2+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x^{3}+8 x \ln \left(x \right)-4 x -{\mathrm e}^{\frac{9 x}{x^{2}+2}}$&$28$\\ default&$-4 x^{3}-4 x +\frac{-x^{2} {\mathrm e}^{\frac{9 x}{x^{2}+2}}-2 \,{\mathrm e}^{\frac{9 x}{x^{2}+2}}}{x^{2}+2}+8 x \ln \left(x \right)$&$53$\\ \hline \end{longtable}"," ",0,"-4*x^3+8*x*ln(x)-4*x-exp(9*x/(x^2+2))","A"
3776,1,16,26,0.042000," ","int((ln(x)^2+2*x*ln(x)-2*x-3)/(x*ln(x)^4+(4*x^2+6*x)*ln(x)^2+4*x^3+12*x^2+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(x \right)}{3+\ln \left(x \right)^{2}+2 x}$&$16$\\ risch&$-\frac{\ln \left(x \right)}{3+\ln \left(x \right)^{2}+2 x}$&$16$\\ \hline \end{longtable}"," ",0,"-ln(x)/(3+ln(x)^2+2*x)","A"
3777,1,33,20,0.073000," ","int((-ln(1/4*x*ln(2)+1/4*x)^2+ln(1/4*x*ln(2)+1/4*x)-1)*exp(((9-x)*ln(1/4*x*ln(2)+1/4*x)+x)/ln(1/4*x*ln(2)+1/4*x))/ln(1/4*x*ln(2)+1/4*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{\left(9-x \right) \ln \left(\frac{x \ln \left(2\right)}{4}+\frac{x}{4}\right)+x}{\ln \left(\frac{x \ln \left(2\right)}{4}+\frac{x}{4}\right)}}$&$33$\\ risch&${\mathrm e}^{-\frac{\ln \left(\frac{x \ln \left(2\right)}{4}+\frac{x}{4}\right) x -9 \ln \left(\frac{x \ln \left(2\right)}{4}+\frac{x}{4}\right)-x}{\ln \left(\frac{x \ln \left(2\right)}{4}+\frac{x}{4}\right)}}$&$44$\\ \hline \end{longtable}"," ",0,"exp(((9-x)*ln(1/4*x*ln(2)+1/4*x)+x)/ln(1/4*x*ln(2)+1/4*x))","A"
3778,1,29,24,0.072000," ","int(1/5*(((-5*x^2-15*x)*exp((4+x)/exp(x))+5*exp(x))*exp(exp((4+x)/exp(x)))+(-10*x+30)*exp(x)-4*x+4)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+6 x +\frac{4 x \,{\mathrm e}^{-x}}{5}+x \,{\mathrm e}^{{\mathrm e}^{\left(4+x \right) {\mathrm e}^{-x}}}$&$29$\\ norman&$\left({\mathrm e}^{x} x \,{\mathrm e}^{{\mathrm e}^{\left(4+x \right) {\mathrm e}^{-x}}}+\frac{4 x}{5}+6 \,{\mathrm e}^{x} x -{\mathrm e}^{x} x^{2}\right) {\mathrm e}^{-x}$&$36$\\ \hline \end{longtable}"," ",0,"-x^2+6*x+4/5*x*exp(-x)+x*exp(exp((4+x)*exp(-x)))","A"
3779,1,33,31,0.104000," ","int(1/2*(((2*(-x-2)*ln(2)-2*x-4)*exp(exp(3))^2+4*x^2+8*x)*ln(2+x)^2+2*(2+x)*ln(2)*exp(exp(3))^2*ln(2+x)-2*x*ln(2)*exp(exp(3))^2)/(2+x)/ln(2)/exp(exp(3))^2/ln(2+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{x}{\ln \left(2\right)}+\frac{{\mathrm e}^{-2 \,{\mathrm e}^{3}} x^{2}}{\ln \left(2\right)}+\frac{x}{\ln \left(2+x \right)}$&$33$\\ norman&$\frac{\left(x \,{\mathrm e}^{{\mathrm e}^{3}}+\frac{{\mathrm e}^{-{\mathrm e}^{3}} x^{2} \ln \left(2+x \right)}{\ln \left(2\right)}-\frac{{\mathrm e}^{{\mathrm e}^{3}} \left(1+\ln \left(2\right)\right) x \ln \left(2+x \right)}{\ln \left(2\right)}\right) {\mathrm e}^{-{\mathrm e}^{3}}}{\ln \left(2+x \right)}$&$54$\\ derivativedivides&$\frac{{\mathrm e}^{-2 \,{\mathrm e}^{3}} \left(-2 \,{\mathrm e}^{2 \,{\mathrm e}^{3}} \ln \left(2\right) \left(2+x \right)-2 \,{\mathrm e}^{2 \,{\mathrm e}^{3}} \left(2+x \right)-2 \ln \left(2\right) {\mathrm e}^{2 \,{\mathrm e}^{3}} \expIntegralEi \left(1, -\ln \left(2+x \right)\right)+2 \left(2+x \right)^{2}-2 \ln \left(2\right) {\mathrm e}^{2 \,{\mathrm e}^{3}} \left(-\frac{2+x}{\ln \left(2+x \right)}-\expIntegralEi \left(1, -\ln \left(2+x \right)\right)\right)-16-8 x -\frac{4 \ln \left(2\right) {\mathrm e}^{2 \,{\mathrm e}^{3}}}{\ln \left(2+x \right)}\right)}{2 \ln \left(2\right)}$&$109$\\ default&$\frac{{\mathrm e}^{-2 \,{\mathrm e}^{3}} \left(-2 \,{\mathrm e}^{2 \,{\mathrm e}^{3}} \ln \left(2\right) \left(2+x \right)-2 \,{\mathrm e}^{2 \,{\mathrm e}^{3}} \left(2+x \right)-2 \ln \left(2\right) {\mathrm e}^{2 \,{\mathrm e}^{3}} \expIntegralEi \left(1, -\ln \left(2+x \right)\right)+2 \left(2+x \right)^{2}-2 \ln \left(2\right) {\mathrm e}^{2 \,{\mathrm e}^{3}} \left(-\frac{2+x}{\ln \left(2+x \right)}-\expIntegralEi \left(1, -\ln \left(2+x \right)\right)\right)-16-8 x -\frac{4 \ln \left(2\right) {\mathrm e}^{2 \,{\mathrm e}^{3}}}{\ln \left(2+x \right)}\right)}{2 \ln \left(2\right)}$&$109$\\ \hline \end{longtable}"," ",0,"-x-x/ln(2)+1/ln(2)*exp(-2*exp(3))*x^2+x/ln(2+x)","A"
3780,1,20,24,0.088000," ","int((((-2*x^2+1)*exp(x^2)-3)*exp(x/(2*exp(x^2)-6))^2+exp(x^2)^2-6*exp(x^2)+9)*exp(exp(x/(2*exp(x^2)-6))^2-exp(5)^2+2+x)/(exp(x^2)^2-6*exp(x^2)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{x}{{\mathrm e}^{x^{2}}-3}}-{\mathrm e}^{10}+2+x}$&$20$\\ \hline \end{longtable}"," ",0,"exp(exp(x/(exp(x^2)-3))-exp(10)+2+x)","A"
3781,1,15,21,0.039000," ","int(8*exp(3)^2*exp(ln(2)+2*x-2)*exp(exp(3)^2*exp(ln(2)+2*x-2))/(exp(exp(3)^2*exp(ln(2)+2*x-2))-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left({\mathrm e}^{2 \,{\mathrm e}^{2 x +4}}-4\right)$&$15$\\ derivativedivides&$4 \ln \left({\mathrm e}^{{\mathrm e}^{6} {\mathrm e}^{\ln \left(2\right)+2 x -2}}-4\right)$&$20$\\ default&$4 \ln \left({\mathrm e}^{{\mathrm e}^{6} {\mathrm e}^{\ln \left(2\right)+2 x -2}}-4\right)$&$20$\\ norman&$4 \ln \left({\mathrm e}^{{\mathrm e}^{6} {\mathrm e}^{\ln \left(2\right)+2 x -2}}-4\right)$&$20$\\ \hline \end{longtable}"," ",0,"4*ln(exp(2*exp(2*x+4))-4)","A"
3782,1,55,29,0.193000," ","int(((5*x^2*exp(x^2)+16*x^4-64*x)*ln(1/16*(-5*exp(x^2)*x-16*x^3+64)/x)+((-5*x^3+10*x^2)*exp(x)+10*x^4-30*x^3)*exp(x^2)+(-16*x^5+32*x^4+64*x^2-128*x)*exp(x)+32*x^4-96*x^3+64*x-192)/(5*x^2*exp(x^2)+16*x^4-64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(\frac{-5 \,{\mathrm e}^{x^{2}} x -16 x^{3}+64}{16 x}\right)-3 \ln \left(\frac{-5 \,{\mathrm e}^{x^{2}} x -16 x^{3}+64}{16 x}\right)-{\mathrm e}^{x} x +3 \,{\mathrm e}^{x}$&$55$\\ risch&$x \ln \left(x^{3}+\frac{5 \,{\mathrm e}^{x^{2}} x}{16}-4\right)-x \ln \left(x \right)-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x^{3}+\frac{5 \,{\mathrm e}^{x^{2}} x}{16}-4\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\frac{5 \,{\mathrm e}^{x^{2}} x}{16}-4\right)}{x}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\frac{5 \,{\mathrm e}^{x^{2}} x}{16}-4\right)}{x}\right)^{2}}{2}-i \pi  x \mathrm{csgn}\left(\frac{i \left(x^{3}+\frac{5 \,{\mathrm e}^{x^{2}} x}{16}-4\right)}{x}\right)^{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x^{3}+\frac{5 \,{\mathrm e}^{x^{2}} x}{16}-4\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\frac{5 \,{\mathrm e}^{x^{2}} x}{16}-4\right)}{x}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x^{3}+\frac{5 \,{\mathrm e}^{x^{2}} x}{16}-4\right)}{x}\right)^{3}}{2}+i \pi  x -{\mathrm e}^{x} x +3 \,{\mathrm e}^{x}-3 \ln \left({\mathrm e}^{x^{2}}+\frac{\frac{16 x^{3}}{5}-\frac{64}{5}}{x}\right)$&$228$\\ \hline \end{longtable}"," ",0,"x*ln(1/16*(-5*exp(x^2)*x-16*x^3+64)/x)-3*ln(1/16*(-5*exp(x^2)*x-16*x^3+64)/x)-exp(x)*x+3*exp(x)","A"
3783,1,96,25,0.188000," ","int(((-x^12+9*x^10-27*x^8+27*x^6-72*x^3+108*x)*ln(x)^5+(-5*x^11+45*x^9-135*x^7+135*x^5-36*x^2)*ln(2)*ln(x)^4+((-10*x^10+90*x^8-270*x^6+270*x^4)*ln(2)^2+(36*x^2-108)*ln(2))*ln(x)^3+(-10*x^9+90*x^7-270*x^5+270*x^3)*ln(2)^3*ln(x)^2+(-5*x^8+45*x^6-135*x^4+135*x^2)*ln(2)^4*ln(x)+(-x^7+9*x^5-27*x^3+27*x)*ln(2)^5)/((x^12-9*x^10+27*x^8-27*x^6)*ln(x)^5+(5*x^11-45*x^9+135*x^7-135*x^5)*ln(2)*ln(x)^4+(10*x^10-90*x^8+270*x^6-270*x^4)*ln(2)^2*ln(x)^3+(10*x^9-90*x^7+270*x^5-270*x^3)*ln(2)^3*ln(x)^2+(5*x^8-45*x^6+135*x^4-135*x^2)*ln(2)^4*ln(x)+(x^7-9*x^5+27*x^3-27*x)*ln(2)^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{9}-6 x^{7}+9 x^{5}-9}{x^{4} \left(x^{4}-6 x^{2}+9\right)}-\frac{9 \ln \left(2\right) \left(4 x^{3} \ln \left(x \right)^{3}+6 x^{2} \ln \left(2\right) \ln \left(x \right)^{2}+4 \ln \left(2\right)^{2} x \ln \left(x \right)+\ln \left(2\right)^{3}\right)}{x^{4} \left(x^{4}-6 x^{2}+9\right) \left(x \ln \left(x \right)+\ln \left(2\right)\right)^{4}}$&$96$\\ \hline \end{longtable}"," ",0,"-(x^9-6*x^7+9*x^5-9)/x^4/(x^4-6*x^2+9)-9*ln(2)*(4*x^3*ln(x)^3+6*x^2*ln(2)*ln(x)^2+4*ln(2)^2*x*ln(x)+ln(2)^3)/x^4/(x^4-6*x^2+9)/(x*ln(x)+ln(2))^4","B"
3784,1,20,16,0.027000," ","int((-2*x^2-3*x+1)*exp(-x^2-3*x)+5*x^4+2*x-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 x +{\mathrm e}^{-\left(3+x \right) x} x +x^{2}+x^{5}$&$20$\\ default&$-3 x +{\mathrm e}^{-x^{2}-3 x} x +x^{2}+x^{5}$&$23$\\ norman&$-3 x +{\mathrm e}^{-x^{2}-3 x} x +x^{2}+x^{5}$&$23$\\ \hline \end{longtable}"," ",0,"-3*x+exp(-(3+x)*x)*x+x^2+x^5","A"
3785,1,12,14,0.099000," ","int(((9*x^2+6*x+1)*exp(x)+9*x^2+6*x+2)/(9*x^2+6*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{1}{9 \left(x +\frac{1}{3}\right)}+{\mathrm e}^{x}$&$12$\\ default&$x -\frac{1}{3 \left(3 x +1\right)}+{\mathrm e}^{x}$&$14$\\ norman&$\frac{2 x +3 x^{2}+3 \,{\mathrm e}^{x} x +{\mathrm e}^{x}}{3 x +1}$&$25$\\ \hline \end{longtable}"," ",0,"x-1/9/(x+1/3)+exp(x)","A"
3786,1,19,21,0.088000," ","int(((-128*x^3+64*x^2-512*x-256)*exp(x)-16*x^2+64)/(64*x^2*exp(x)^3-48*exp(x)^2*x^2+12*exp(x)*x^2-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x^{2}+64}{x \left(4 \,{\mathrm e}^{x}-1\right)^{2}}$&$19$\\ norman&$\frac{16 x^{2}+64}{x \left(4 \,{\mathrm e}^{x}-1\right)^{2}}$&$20$\\ \hline \end{longtable}"," ",0,"16/x*(x^2+4)/(4*exp(x)-1)^2","A"
3787,1,15,17,0.093000," ","int(1/2*((-3*x+2)*exp(x/exp(3/2*x-2/3))+10*exp(3/2*x-2/3)*exp(5*x))/exp(3/2*x-2/3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{5 x}+{\mathrm e}^{x \,{\mathrm e}^{-\frac{3 x}{2}+\frac{2}{3}}}$&$15$\\ \hline \end{longtable}"," ",0,"exp(5*x)+exp(x*exp(-3/2*x+2/3))","A"
3788,1,23,24,0.138000," ","int((10*ln(25*x)-10*exp(5)^2-5*x+16)*exp((-5*x*ln(25*x)+5*x*exp(5)^2-6)/(5*x-10))/(5*x^2-20*x+20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-5 x \ln \left(25 x \right)+5 x \,{\mathrm e}^{10}-6}{5 x -10}}$&$23$\\ norman&$\frac{x \,{\mathrm e}^{\frac{-5 x \ln \left(25 x \right)+5 x \,{\mathrm e}^{10}-6}{5 x -10}}-2 \,{\mathrm e}^{\frac{-5 x \ln \left(25 x \right)+5 x \,{\mathrm e}^{10}-6}{5 x -10}}}{x -2}$&$62$\\ \hline \end{longtable}"," ",0,"exp(1/5*(-5*x*ln(25*x)+5*x*exp(10)-6)/(x-2))","A"
3789,1,135,27,0.088000," ","int(((68719476736*x-137438953472)*exp(x)*ln(x)^18+(115964116992*x-231928233984)*exp(x)*ln(x)^16+(86973087744*x-173946175488)*exp(x)*ln(x)^14+(38050725888*x-76101451776)*exp(x)*ln(x)^12+(10701766656*x-21403533312)*exp(x)*ln(x)^10+(2006581248*x-4013162496)*exp(x)*ln(x)^8+(250822656*x-501645312)*exp(x)*ln(x)^6+(20155392*x-40310784)*exp(x)*ln(x)^4+(-8192*x^2+944784*x-1889568)*exp(x)*ln(x)^2+65536*x^2*exp(x)*ln(x)+(-1536*x^2+19683*x-39366)*exp(x))/(68719476736*x^2*ln(x)^18+115964116992*x^2*ln(x)^16+86973087744*x^2*ln(x)^14+38050725888*x^2*ln(x)^12+10701766656*x^2*ln(x)^10+2006581248*x^2*ln(x)^8+250822656*x^2*ln(x)^6+20155392*x^2*ln(x)^4+944784*x^2*ln(x)^2+19683*x^2)/exp((4294967296*ln(x)^17+6442450944*ln(x)^15+4227858432*ln(x)^13+1585446912*ln(x)^11+371589120*ln(x)^9+55738368*ln(x)^7+5225472*ln(x)^5+279936*ln(x)^3+6561*ln(x)+256*x^2)/(4294967296*ln(x)^16+6442450944*ln(x)^14+4227858432*ln(x)^12+1585446912*ln(x)^10+371589120*ln(x)^8+55738368*ln(x)^6+5225472*ln(x)^4+279936*ln(x)^2+6561)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{4294967296 \ln \left(x \right)^{17}-4294967296 x \ln \left(x \right)^{16}+6442450944 \ln \left(x \right)^{15}-6442450944 x \ln \left(x \right)^{14}+4227858432 \ln \left(x \right)^{13}-4227858432 x \ln \left(x \right)^{12}+1585446912 \ln \left(x \right)^{11}-1585446912 x \ln \left(x \right)^{10}+371589120 \ln \left(x \right)^{9}-371589120 x \ln \left(x \right)^{8}+55738368 \ln \left(x \right)^{7}-55738368 x \ln \left(x \right)^{6}+5225472 \ln \left(x \right)^{5}-5225472 x \ln \left(x \right)^{4}+279936 \ln \left(x \right)^{3}-279936 x \ln \left(x \right)^{2}+256 x^{2}+6561 \ln \left(x \right)-6561 x}{\left(3+16 \ln \left(x \right)^{2}\right)^{8}}}}{x}$&$135$\\ \hline \end{longtable}"," ",0,"1/x*exp(-(4294967296*ln(x)^17-4294967296*x*ln(x)^16+6442450944*ln(x)^15-6442450944*x*ln(x)^14+4227858432*ln(x)^13-4227858432*x*ln(x)^12+1585446912*ln(x)^11-1585446912*x*ln(x)^10+371589120*ln(x)^9-371589120*x*ln(x)^8+55738368*ln(x)^7-55738368*x*ln(x)^6+5225472*ln(x)^5-5225472*x*ln(x)^4+279936*ln(x)^3-279936*x*ln(x)^2+256*x^2+6561*ln(x)-6561*x)/(3+16*ln(x)^2)^8)","B"
3790,1,102,28,0.101000," ","int((((-4*x^3+12*x^2)*exp(x)-8*x^3)*ln(x^2)+((x^4-4*x^3)*exp(x)+3*x^4)*ln(x)-8*exp(x)^2+(-13*x^3+44*x^2+16*x)*exp(x)+x^4-32*x^3-8*x^2)/(2*exp(x)^2-4*exp(x)*x+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-8+x \right) x^{3} \ln \left(x \right)}{-2 \,{\mathrm e}^{x}+2 x}-\frac{x \left(i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}-6 x^{2}-4 x +4 \,{\mathrm e}^{x}\right)}{{\mathrm e}^{x}-x}$&$102$\\ \hline \end{longtable}"," ",0,"1/2*(-8+x)*x^3/(x-exp(x))*ln(x)-x*(I*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)-2*I*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2+I*Pi*x^2*csgn(I*x^2)^3-6*x^2-4*x+4*exp(x))/(exp(x)-x)","C"
3791,1,18,17,0.032000," ","int((-16*exp(9)+32*x+64)/ln(2*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{16 x \left(-x +{\mathrm e}^{9}-4\right)}{\ln \left(2 \ln \left(2\right)\right)}$&$18$\\ default&$\frac{-16 x \,{\mathrm e}^{9}+16 x^{2}+64 x}{\ln \left(2 \ln \left(2\right)\right)}$&$23$\\ norman&$\frac{16 x^{2}}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}-\frac{16 \left({\mathrm e}^{9}-4\right) x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}$&$30$\\ risch&$-\frac{16 x \,{\mathrm e}^{9}}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}+\frac{16 x^{2}}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}+\frac{64 x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}$&$39$\\ \hline \end{longtable}"," ",0,"-16*x*(-x+exp(9)-4)/ln(2*ln(2))","A"
3792,1,18,18,0.088000," ","int(((-4*x^4-16*x^3+2*x+8)*ln(4+x)^2+1)/(4+x)/ln(4+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{4}+2 x -\frac{1}{\ln \left(4+x \right)}$&$18$\\ norman&$\frac{-1+2 x \ln \left(4+x \right)-x^{4} \ln \left(4+x \right)}{\ln \left(4+x \right)}$&$26$\\ derivativedivides&$-\left(4+x \right)^{4}+16 \left(4+x \right)^{3}-96 \left(4+x \right)^{2}+1032+258 x -\frac{1}{\ln \left(4+x \right)}$&$35$\\ default&$-\left(4+x \right)^{4}+16 \left(4+x \right)^{3}-96 \left(4+x \right)^{2}+1032+258 x -\frac{1}{\ln \left(4+x \right)}$&$35$\\ \hline \end{longtable}"," ",0,"-x^4+2*x-1/ln(4+x)","A"
3793,1,346,25,0.368000," ","int(((((3*x-6)*exp(x)*ln(x^2)+(12*x-24)*exp(x))*ln(4+ln(x^2))+(3*x^2-6*x)*exp(x)*ln(x^2)+(12*x^2-24*x)*exp(x))*ln(x/(ln(4+ln(x^2))+x))+(-3*exp(x)*ln(x^2)-12*exp(x))*ln(4+ln(x^2))+6*exp(x))/((x^3*ln(x^2)+4*x^3)*ln(4+ln(x^2))+x^4*ln(x^2)+4*x^4)/ln(x/(ln(4+ln(x^2))+x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 i {\mathrm e}^{x}}{x^{2} \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(4+2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+x}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(4+2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+x}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(4+2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+x}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(4+2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+x}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(4+2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(4+2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+x}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left(\ln \left(4+2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+x \right)\right)}$&$346$\\ \hline \end{longtable}"," ",0,"6*I*exp(x)/x^2/(Pi*csgn(I*x)*csgn(I/(ln(4+2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+x))*csgn(I*x/(ln(4+2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+x))-Pi*csgn(I*x)*csgn(I*x/(ln(4+2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+x))^2-Pi*csgn(I/(ln(4+2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+x))*csgn(I*x/(ln(4+2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+x))^2+Pi*csgn(I*x/(ln(4+2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+x))^3+2*I*ln(x)-2*I*ln(ln(4+2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+x))","C"
3794,1,27,30,0.089000," ","int((((-2*x-2)*ln(5)+2*x^2+2*x-4)*exp(x)+(-2*x^2-2)*ln(5)+2*x^3-2*x-4)/((ln(5)-x)*exp(x)+(x+1)*ln(5)-x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x^{2}+2 x +4 \ln \left(\ln \left(5\right)-x \right)-4 \ln \left({\mathrm e}^{x}+1+x \right)$&$27$\\ risch&$-x^{2}+2 x +4 \ln \left(-\ln \left(5\right)+x \right)-4 \ln \left({\mathrm e}^{x}+1+x \right)$&$27$\\ \hline \end{longtable}"," ",0,"-x^2+2*x+4*ln(ln(5)-x)-4*ln(exp(x)+1+x)","A"
3795,1,25,24,0.181000," ","int((x*ln(x)-x*exp(3)^2*ln(3)-x^3+8*x^2-9*x+4)/(x*ln(x)^2+(-2*x*exp(3)^2*ln(3)+2*x^3-2*x^2-8*x)*ln(x)+x*exp(3)^4*ln(3)^2+(-2*x^3+2*x^2+8*x)*exp(3)^2*ln(3)+x^5-2*x^4-7*x^3+8*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x -4}{{\mathrm e}^{6} \ln \left(3\right)-x^{2}-\ln \left(x \right)+x +4}$&$25$\\ norman&$\frac{-x +4}{{\mathrm e}^{6} \ln \left(3\right)-x^{2}-\ln \left(x \right)+x +4}$&$28$\\ \hline \end{longtable}"," ",0,"-(x-4)/(exp(6)*ln(3)-x^2-ln(x)+x+4)","A"
3796,1,27,28,0.042000," ","int((((-48*x-8)*ln(x)-336*x^2+136*x+32)*ln(-ln(x)-7*x+4)+(-64*x^2-12*x)*ln(x)-448*x^3+60*x^2+4*x-4)/(((16*x^5+8*x^4+x^3)*ln(x)+112*x^6-8*x^5-25*x^4-4*x^3)*ln(-ln(x)-7*x+4)^2+((32*x^6+16*x^5+2*x^4)*ln(x)+224*x^7-16*x^6-50*x^5-8*x^4)*ln(-ln(x)-7*x+4)+(16*x^7+8*x^6+x^5)*ln(x)+112*x^8-8*x^7-25*x^6-4*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{\left(4 x +1\right) x^{2} \left(x +\ln \left(-\ln \left(x \right)-7 x +4\right)\right)}$&$27$\\ \hline \end{longtable}"," ",0,"4/(4*x+1)/x^2/(x+ln(-ln(x)-7*x+4))","A"
3797,0,0,25,0.013000," ","int(((2*x^4-4*x^3-15*x^2+16*x+28)*ln((-2*x^2+4*x+7)/(x^3-4*x))*ln(ln((-2*x^2+4*x+7)/(x^3-4*x)))-2*x^4+8*x^3+13*x^2-28)/(2*x^4-4*x^3-15*x^2+16*x+28)/ln((-2*x^2+4*x+7)/(x^3-4*x)),x)","\[\int \frac{\left(2 x^{4}-4 x^{3}-15 x^{2}+16 x +28\right) \ln \left(\frac{-2 x^{2}+4 x +7}{x^{3}-4 x}\right) \ln \left(\ln \left(\frac{-2 x^{2}+4 x +7}{x^{3}-4 x}\right)\right)-2 x^{4}+8 x^{3}+13 x^{2}-28}{\left(2 x^{4}-4 x^{3}-15 x^{2}+16 x +28\right) \ln \left(\frac{-2 x^{2}+4 x +7}{x^{3}-4 x}\right)}\, dx\]"," ",0,"int(((2*x^4-4*x^3-15*x^2+16*x+28)*ln((-2*x^2+4*x+7)/(x^3-4*x))*ln(ln((-2*x^2+4*x+7)/(x^3-4*x)))-2*x^4+8*x^3+13*x^2-28)/(2*x^4-4*x^3-15*x^2+16*x+28)/ln((-2*x^2+4*x+7)/(x^3-4*x)),x)","F"
3798,1,46,30,0.131000," ","int(((-2*x-4)*exp(2*x)*ln(2+x)+((2*x^2+5*x+2)*exp(4)-2*x^2-5*x-3)*exp(2*x)+(5*x+10)*exp(4)-5*x-15)*ln(ln(ln(2)+I*Pi))/(2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(\ln \left(2\right)+i \pi \right)\right) \left(\left({\mathrm e}^{4}-1\right) x \,{\mathrm e}^{2 x}-{\mathrm e}^{2 x} \ln \left(2+x \right)+5 x \,{\mathrm e}^{4}-5 x -5 \ln \left(2+x \right)\right)$&$46$\\ norman&$\left(5 \ln \left(\ln \left(\ln \left(2\right)+i \pi \right)\right) {\mathrm e}^{4}-5 \ln \left(\ln \left(\ln \left(2\right)+i \pi \right)\right)\right) x -5 \ln \left(\ln \left(\ln \left(2\right)+i \pi \right)\right) \ln \left(2+x \right)+\left(\ln \left(\ln \left(\ln \left(2\right)+i \pi \right)\right) {\mathrm e}^{4}-\ln \left(\ln \left(\ln \left(2\right)+i \pi \right)\right)\right) x \,{\mathrm e}^{2 x}-\ln \left(\ln \left(\ln \left(2\right)+i \pi \right)\right) {\mathrm e}^{2 x} \ln \left(2+x \right)$&$93$\\ risch&$-\ln \left(\ln \left(-i \left(i \ln \left(2\right)-\pi \right)\right)\right) {\mathrm e}^{2 x} \ln \left(2+x \right)+\ln \left(\ln \left(-i \left(i \ln \left(2\right)-\pi \right)\right)\right) x \,{\mathrm e}^{2 x +4}+5 \ln \left(\ln \left(-i \left(i \ln \left(2\right)-\pi \right)\right)\right) x \,{\mathrm e}^{4}-\ln \left(\ln \left(-i \left(i \ln \left(2\right)-\pi \right)\right)\right) x \,{\mathrm e}^{2 x}-5 \ln \left(\ln \left(-i \left(i \ln \left(2\right)-\pi \right)\right)\right) \ln \left(2+x \right)-5 \ln \left(\ln \left(-i \left(i \ln \left(2\right)-\pi \right)\right)\right) x$&$125$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(2)+I*Pi))*((exp(4)-1)*x*exp(2*x)-exp(2*x)*ln(2+x)+5*x*exp(4)-5*x-5*ln(2+x))","A"
3799,1,22,22,0.224000," ","int((((-4*x^2*exp(5)^2-8*x^3*exp(5)-4*x^4)*exp(x)-4*x*exp(5)^2-8*x^2*exp(5)-4*x^3)*exp(exp(x))+(x+1)*exp(5)^2+(4*x^2+2*x)*exp(5)+2*x^3+x^2)/(x*exp(5)^2+2*x^2*exp(5)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{{\mathrm e}^{10}}{{\mathrm e}^{5}+x}+\ln \left(x \right)-4 x \,{\mathrm e}^{{\mathrm e}^{x}}$&$22$\\ norman&$\frac{2 x^{2}-4 \,{\mathrm e}^{{\mathrm e}^{x}} x^{2}-4 x \,{\mathrm e}^{5} {\mathrm e}^{{\mathrm e}^{x}}-{\mathrm e}^{10}}{{\mathrm e}^{5}+x}+\ln \left(x \right)$&$39$\\ \hline \end{longtable}"," ",0,"2*x+exp(10)/(exp(5)+x)+ln(x)-4*x*exp(exp(x))","A"
3800,1,81,25,0.145000," ","int(((8*x^4-120*x^3+448*x^2)*exp(x)^2+((8*x^3-56*x^2-8*x+64)*exp(1/x)-8*x^5+104*x^4-256*x^3-512*x^2)*exp(x)-8*exp(1/x)^2+(-16*x^3+72*x^2-64*x)*exp(1/x)+16*x^5-192*x^4+512*x^3+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{4}-64 x^{3}+256 x^{2}+x +\left(4 x^{2}-64 x +256\right) {\mathrm e}^{2 x}+\left(-8 x^{3}+128 x^{2}-512 x \right) {\mathrm e}^{x}+4 \,{\mathrm e}^{\frac{2}{x}}+\left(-8 x^{2}+8 \,{\mathrm e}^{x} x +64 x -64 \,{\mathrm e}^{x}\right) {\mathrm e}^{\frac{1}{x}}$&$81$\\ derivativedivides&$4 x^{4}-64 x^{3}+256 x^{2}+x +4 \,{\mathrm e}^{\frac{2}{x}}+4 \,{\mathrm e}^{2 x} x^{2}-64 x \,{\mathrm e}^{2 x}+256 \,{\mathrm e}^{2 x}-8 x^{2} {\mathrm e}^{\frac{1}{x}}+64 x \,{\mathrm e}^{\frac{1}{x}}+\left(\frac{128 \,{\mathrm e}^{x}}{x^{2}}-\frac{512 \,{\mathrm e}^{x}}{x^{3}}-\frac{8 \,{\mathrm e}^{x}}{x}+\frac{8 \,{\mathrm e}^{\frac{1}{x}} {\mathrm e}^{x}}{x^{3}}-\frac{64 \,{\mathrm e}^{\frac{1}{x}} {\mathrm e}^{x}}{x^{4}}\right) x^{4}$&$112$\\ default&$4 x^{4}-64 x^{3}+256 x^{2}+x +4 \,{\mathrm e}^{\frac{2}{x}}+4 \,{\mathrm e}^{2 x} x^{2}-64 x \,{\mathrm e}^{2 x}+256 \,{\mathrm e}^{2 x}-8 x^{2} {\mathrm e}^{\frac{1}{x}}+64 x \,{\mathrm e}^{\frac{1}{x}}+\left(\frac{128 \,{\mathrm e}^{x}}{x^{2}}-\frac{512 \,{\mathrm e}^{x}}{x^{3}}-\frac{8 \,{\mathrm e}^{x}}{x}+\frac{8 \,{\mathrm e}^{\frac{1}{x}} {\mathrm e}^{x}}{x^{3}}-\frac{64 \,{\mathrm e}^{\frac{1}{x}} {\mathrm e}^{x}}{x^{4}}\right) x^{4}$&$112$\\ \hline \end{longtable}"," ",0,"4*x^4-64*x^3+256*x^2+x+(4*x^2-64*x+256)*exp(2*x)+(-8*x^3+128*x^2-512*x)*exp(x)+4*exp(2/x)+(-8*x^2+8*exp(x)*x+64*x-64*exp(x))*exp(1/x)","B"
3801,1,162,20,0.083000," ","int(((-14080*x-40960)*ln(x)+20480)/(1024*x*ln(x)*ln(x^2/ln(x))^2+(1408*x^2-7872*x)*ln(x)*ln(x^2/ln(x))+(484*x^3-5412*x^2+15129*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{640 i}{16 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-32 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+16 \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right)-16 \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right)^{2}+16 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-16 \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right)^{2}+16 \pi  \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right)^{3}+22 i x +64 i \ln \left(x \right)-32 i \ln \left(\ln \left(x \right)\right)-123 i}$&$162$\\ \hline \end{longtable}"," ",0,"640*I/(16*Pi*csgn(I*x)^2*csgn(I*x^2)-32*Pi*csgn(I*x)*csgn(I*x^2)^2+16*Pi*csgn(I/ln(x))*csgn(I*x^2)*csgn(I*x^2/ln(x))-16*Pi*csgn(I/ln(x))*csgn(I*x^2/ln(x))^2+16*Pi*csgn(I*x^2)^3-16*Pi*csgn(I*x^2)*csgn(I*x^2/ln(x))^2+16*Pi*csgn(I*x^2/ln(x))^3+22*I*x+64*I*ln(x)-32*I*ln(ln(x))-123*I)","C"
3802,1,820,28,2.411000," ","int((((-4*exp(x)*x^3-8*x^3)*ln(x)+(-20*x^3+3*x)*exp(x)-40*x^3+6*x)*ln(1/4*(4*x^2*ln(x)+20*x^2-3)/x^2)*ln(ln(1/4*(4*x^2*ln(x)+20*x^2-3)/x^2))*ln(ln(ln(1/4*(4*x^2*ln(x)+20*x^2-3)/x^2))^2)+(8*x^2+12)*exp(x)+16*x^3+24*x)/((4*exp(x)^2*x^3+16*exp(x)*x^4+16*x^5)*ln(x)+(20*x^3-3*x)*exp(x)^2+(80*x^4-12*x^2)*exp(x)+80*x^5-12*x^3)/ln(1/4*(4*x^2*ln(x)+20*x^2-3)/x^2)/ln(ln(1/4*(4*x^2*ln(x)+20*x^2-3)/x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(\ln \left(-2 \ln \left(x \right)+\ln \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right)+\mathrm{csgn}\left(\frac{i}{x^{2}}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right)+\mathrm{csgn}\left(i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)\right)\right)}{2}\right)\right)}{{\mathrm e}^{x}+2 x}-\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(-2 \ln \left(x \right)+\ln \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right)+\mathrm{csgn}\left(\frac{i}{x^{2}}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right)+\mathrm{csgn}\left(i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)\right)\right)}{2}\right)^{2}\right) \left(\mathrm{csgn}\left(i \ln \left(-2 \ln \left(x \right)+\ln \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right)+\mathrm{csgn}\left(\frac{i}{x^{2}}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right)+\mathrm{csgn}\left(i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)\right)\right)}{2}\right)\right)^{2}-2 \,\mathrm{csgn}\left(i \ln \left(-2 \ln \left(x \right)+\ln \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right)+\mathrm{csgn}\left(\frac{i}{x^{2}}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right)+\mathrm{csgn}\left(i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)\right)\right)}{2}\right)^{2}\right) \mathrm{csgn}\left(i \ln \left(-2 \ln \left(x \right)+\ln \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right)+\mathrm{csgn}\left(\frac{i}{x^{2}}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right)+\mathrm{csgn}\left(i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)\right)\right)}{2}\right)\right)+\mathrm{csgn}\left(i \ln \left(-2 \ln \left(x \right)+\ln \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right)+\mathrm{csgn}\left(\frac{i}{x^{2}}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)}{x^{2}}\right)+\mathrm{csgn}\left(i \left(-\frac{3}{4}+\left(5+\ln \left(x \right)\right) x^{2}\right)\right)\right)}{2}\right)^{2}\right)^{2}\right)}{2 \left({\mathrm e}^{x}+2 x \right)}$&$820$\\ \hline \end{longtable}"," ",0,"2/(exp(x)+2*x)*ln(ln(-2*ln(x)+ln(-3/4+(5+ln(x))*x^2)+1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I/x^2*(-3/4+(5+ln(x))*x^2))*(-csgn(I/x^2*(-3/4+(5+ln(x))*x^2))+csgn(I/x^2))*(-csgn(I/x^2*(-3/4+(5+ln(x))*x^2))+csgn(I*(-3/4+(5+ln(x))*x^2)))))-1/2*I*Pi*csgn(I*ln(-2*ln(x)+ln(-3/4+(5+ln(x))*x^2)+1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I/x^2*(-3/4+(5+ln(x))*x^2))*(-csgn(I/x^2*(-3/4+(5+ln(x))*x^2))+csgn(I/x^2))*(-csgn(I/x^2*(-3/4+(5+ln(x))*x^2))+csgn(I*(-3/4+(5+ln(x))*x^2))))^2)*(csgn(I*ln(-2*ln(x)+ln(-3/4+(5+ln(x))*x^2)+1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I/x^2*(-3/4+(5+ln(x))*x^2))*(-csgn(I/x^2*(-3/4+(5+ln(x))*x^2))+csgn(I/x^2))*(-csgn(I/x^2*(-3/4+(5+ln(x))*x^2))+csgn(I*(-3/4+(5+ln(x))*x^2)))))^2-2*csgn(I*ln(-2*ln(x)+ln(-3/4+(5+ln(x))*x^2)+1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I/x^2*(-3/4+(5+ln(x))*x^2))*(-csgn(I/x^2*(-3/4+(5+ln(x))*x^2))+csgn(I/x^2))*(-csgn(I/x^2*(-3/4+(5+ln(x))*x^2))+csgn(I*(-3/4+(5+ln(x))*x^2))))^2)*csgn(I*ln(-2*ln(x)+ln(-3/4+(5+ln(x))*x^2)+1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I/x^2*(-3/4+(5+ln(x))*x^2))*(-csgn(I/x^2*(-3/4+(5+ln(x))*x^2))+csgn(I/x^2))*(-csgn(I/x^2*(-3/4+(5+ln(x))*x^2))+csgn(I*(-3/4+(5+ln(x))*x^2)))))+csgn(I*ln(-2*ln(x)+ln(-3/4+(5+ln(x))*x^2)+1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I/x^2*(-3/4+(5+ln(x))*x^2))*(-csgn(I/x^2*(-3/4+(5+ln(x))*x^2))+csgn(I/x^2))*(-csgn(I/x^2*(-3/4+(5+ln(x))*x^2))+csgn(I*(-3/4+(5+ln(x))*x^2))))^2)^2)/(exp(x)+2*x)","C"
3803,1,19,21,0.046000," ","int(((3*x^4-50*x^3+205*x^2-375*x)*ln(x)+3*x^4-33*x^3+45*x^2+525*x-1500)/(3*x^5-33*x^4+45*x^3+525*x^2-1500*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}}{6 \left(x -5\right)^{2}}+\ln \left(\ln \left(x \right)\right)+\ln \left(4+x \right)$&$19$\\ default&$\ln \left(4+x \right)+\frac{25}{6 \left(x -5\right)^{2}}+\frac{5}{3 \left(x -5\right)}+\ln \left(\ln \left(x \right)\right)$&$23$\\ risch&$\frac{6 x^{2} \ln \left(4+x \right)-60 x \ln \left(4+x \right)+150 \ln \left(4+x \right)+10 x -25}{6 x^{2}-60 x +150}+\ln \left(\ln \left(x \right)\right)$&$44$\\ \hline \end{longtable}"," ",0,"1/6*x^2/(x-5)^2+ln(ln(x))+ln(4+x)","A"
3804,1,19,18,0.047000," ","int(((-2*x^3-6*x^2)*exp(x)+4*x-14)*exp(-exp(x)*x^3+x^2-7*x-8)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-2 \,{\mathrm e}^{x} x^{3}+2 x^{2}-14 x -16}$&$19$\\ risch&${\mathrm e}^{-2 \,{\mathrm e}^{x} x^{3}+2 x^{2}-14 x -16}$&$19$\\ \hline \end{longtable}"," ",0,"exp(-exp(x)*x^3+x^2-7*x-8)^2","A"
3805,1,24,24,0.050000," ","int(((x-x*ln(x))*exp(ln(x)/x)*exp(exp(ln(x)/x))+8*ln(5/x)+2*x^3+4)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{{\mathrm e}^{\frac{\ln \left(x \right)}{x}}}-\frac{4 \ln \left(\frac{5}{x}\right)}{x^{2}}+2 x$&$24$\\ risch&$\frac{4 \ln \left(x \right)}{x^{2}}-\frac{2 \left(-x^{3}+2 \ln \left(5\right)\right)}{x^{2}}+{\mathrm e}^{x^{\frac{1}{x}}}$&$30$\\ \hline \end{longtable}"," ",0,"exp(exp(ln(x)/x))-4*ln(5/x)/x^2+2*x","A"
3806,1,74,27,0.151000," ","int((((-16*x^2-8)*ln(x)*ln(ln(x)+x^2)-4*ln(x)^2+(-4*x^2-4)*ln(x)-4*x^2)*exp(ln(ln(x)+x^2)^2)+(4*ln(x)+4*x^2)*ln(x^2)+8*ln(x)+8*x^2)/((x^2*ln(x)^3+x^4*ln(x)^2)*exp(ln(ln(x)+x^2)^2)^2+(-2*x^2*ln(x)^2-2*x^4*ln(x))*ln(x^2)*exp(ln(ln(x)+x^2)^2)+(x^2*ln(x)+x^4)*ln(x^2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{8 i}{x \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(x \right) {\mathrm e}^{\ln \left(\ln \left(x \right)+x^{2}\right)^{2}}+4 i \ln \left(x \right)\right)}$&$74$\\ \hline \end{longtable}"," ",0,"-8*I/x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-2*I*ln(x)*exp(ln(ln(x)+x^2)^2)+4*I*ln(x))","C"
3807,1,134,33,0.057000," ","int(((16*exp(4)*exp(x)+4*(-2*x^2+4*x)*exp(4)*ln(2)^2+2*(8*x^3-8*x^2-32*x+32)*exp(4)*ln(2)+(-8*x^4+64*x^2-56*x+8)*exp(4))*ln(4*exp(x)+4*(-x^2+4*x-4)*ln(2)^2+2*(4*x^3-16*x^2+16*x)*ln(2)-4*x^4+16*x^3-16*x^2+4*x)+16*x*exp(4)*exp(x)+4*(-2*x^3+4*x^2)*exp(4)*ln(2)^2+2*(8*x^4-8*x^3-32*x^2+32*x)*exp(4)*ln(2)+(-8*x^5+64*x^3-56*x^2+8*x)*exp(4))/(4*exp(x)+4*(-x^2+4*x-4)*ln(2)^2+2*(4*x^3-16*x^2+16*x)*ln(2)-4*x^4+16*x^3-16*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{4}+2 x \,{\mathrm e}^{4} \ln \left(4 \,{\mathrm e}^{x}+4 \left(-x^{2}+4 x -4\right) \ln \left(2\right)^{2}+2 \left(4 x^{3}-16 x^{2}+16 x \right) \ln \left(2\right)-4 x^{4}+16 x^{3}-16 x^{2}+4 x \right)+{\mathrm e}^{4} \ln \left(4 \,{\mathrm e}^{x}+4 \left(-x^{2}+4 x -4\right) \ln \left(2\right)^{2}+2 \left(4 x^{3}-16 x^{2}+16 x \right) \ln \left(2\right)-4 x^{4}+16 x^{3}-16 x^{2}+4 x \right)^{2}$&$134$\\ \hline \end{longtable}"," ",0,"x^2*exp(4)+2*x*exp(4)*ln(4*exp(x)+4*(-x^2+4*x-4)*ln(2)^2+2*(4*x^3-16*x^2+16*x)*ln(2)-4*x^4+16*x^3-16*x^2+4*x)+exp(4)*ln(4*exp(x)+4*(-x^2+4*x-4)*ln(2)^2+2*(4*x^3-16*x^2+16*x)*ln(2)-4*x^4+16*x^3-16*x^2+4*x)^2","B"
3808,1,27,20,0.043000," ","int(1/2*((-5*x^2*ln(x)-5*x^2-5*x-5)*exp((-x^2*ln(x)+2*x+1)/x)+15*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x^{-x} {\mathrm e}^{\frac{2 x +1}{x}}}{2 x}-\frac{15}{2 x}$&$27$\\ default&$\frac{5 \,{\mathrm e}^{\frac{-x^{2} \ln \left(x \right)+2 x +1}{x}}}{2 x}-\frac{15}{2 x}$&$29$\\ norman&$\frac{-\frac{15 x}{2}+\frac{5 x \,{\mathrm e}^{\frac{-x^{2} \ln \left(x \right)+2 x +1}{x}}}{2}}{x^{2}}$&$29$\\ \hline \end{longtable}"," ",0,"5/2/x*x^(-x)*exp((2*x+1)/x)-15/2/x","A"
3809,1,12,11,0.016000," ","int((4*ln(x)^4+(-2*x^2+x)*ln(x))/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)^{4}-x^{2}+x$&$12$\\ norman&$\ln \left(x \right)^{4}-x^{2}+x$&$12$\\ risch&$\ln \left(x \right)^{4}-x^{2}+x$&$12$\\ \hline \end{longtable}"," ",0,"ln(x)^4-x^2+x","A"
3810,1,30,22,0.071000," ","int(1/3*((-3*exp(4)*ln(10)+23*exp(4)+12)*ln(x*ln(ln(2)))-3*exp(4)*ln(10)+23*exp(4)+12)/x^2/exp(4)/ln(x*ln(ln(2)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{-4} \left(3 \,{\mathrm e}^{4} \ln \left(10\right)-23 \,{\mathrm e}^{4}-12\right)}{3 x \ln \left(x \ln \left(\ln \left(2\right)\right)\right)}$&$30$\\ risch&$\frac{{\mathrm e}^{-4} \left(3 \,{\mathrm e}^{4} \ln \left(5\right)+3 \,{\mathrm e}^{4} \ln \left(2\right)-23 \,{\mathrm e}^{4}-12\right)}{3 x \ln \left(x \ln \left(\ln \left(2\right)\right)\right)}$&$34$\\ derivativedivides&$\frac{\ln \left(\ln \left(2\right)\right) {\mathrm e}^{-4} \left(3 \,{\mathrm e}^{4} \ln \left(10\right) \expIntegralEi \left(1, \ln \left(x \ln \left(\ln \left(2\right)\right)\right)\right)-3 \,{\mathrm e}^{4} \ln \left(10\right) \left(-\frac{1}{x \ln \left(\ln \left(2\right)\right) \ln \left(x \ln \left(\ln \left(2\right)\right)\right)}+\expIntegralEi \left(1, \ln \left(x \ln \left(\ln \left(2\right)\right)\right)\right)\right)-23 \,{\mathrm e}^{4} \expIntegralEi \left(1, \ln \left(x \ln \left(\ln \left(2\right)\right)\right)\right)+23 \,{\mathrm e}^{4} \left(-\frac{1}{x \ln \left(\ln \left(2\right)\right) \ln \left(x \ln \left(\ln \left(2\right)\right)\right)}+\expIntegralEi \left(1, \ln \left(x \ln \left(\ln \left(2\right)\right)\right)\right)\right)-\frac{12}{x \ln \left(\ln \left(2\right)\right) \ln \left(x \ln \left(\ln \left(2\right)\right)\right)}\right)}{3}$&$119$\\ default&$\frac{\ln \left(\ln \left(2\right)\right) {\mathrm e}^{-4} \left(3 \,{\mathrm e}^{4} \ln \left(10\right) \expIntegralEi \left(1, \ln \left(x \ln \left(\ln \left(2\right)\right)\right)\right)-3 \,{\mathrm e}^{4} \ln \left(10\right) \left(-\frac{1}{x \ln \left(\ln \left(2\right)\right) \ln \left(x \ln \left(\ln \left(2\right)\right)\right)}+\expIntegralEi \left(1, \ln \left(x \ln \left(\ln \left(2\right)\right)\right)\right)\right)-23 \,{\mathrm e}^{4} \expIntegralEi \left(1, \ln \left(x \ln \left(\ln \left(2\right)\right)\right)\right)+23 \,{\mathrm e}^{4} \left(-\frac{1}{x \ln \left(\ln \left(2\right)\right) \ln \left(x \ln \left(\ln \left(2\right)\right)\right)}+\expIntegralEi \left(1, \ln \left(x \ln \left(\ln \left(2\right)\right)\right)\right)\right)-\frac{12}{x \ln \left(\ln \left(2\right)\right) \ln \left(x \ln \left(\ln \left(2\right)\right)\right)}\right)}{3}$&$119$\\ \hline \end{longtable}"," ",0,"1/3/exp(4)*(3*exp(4)*ln(10)-23*exp(4)-12)/x/ln(x*ln(ln(2)))","A"
3811,1,20,23,0.179000," ","int(((2*x^3+10*x^2+12*x+16)*exp(4)*exp((x^4+2*x^3+5*x^2+4*x+4)*exp(4)/x^4)+x^5)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -{\mathrm e}^{\frac{\left(x^{2}+x +2\right)^{2} {\mathrm e}^{4}}{x^{4}}}$&$20$\\ norman&$\frac{x^{5}-x^{4} {\mathrm e}^{\frac{\left(x^{4}+2 x^{3}+5 x^{2}+4 x +4\right) {\mathrm e}^{4}}{x^{4}}}}{x^{4}}$&$39$\\ \hline \end{longtable}"," ",0,"x-exp((x^2+x+2)^2*exp(4)/x^4)","A"
3812,1,14,18,0.028000," ","int((exp(3)+2*x^2+x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\ln \left(x \right)-\frac{{\mathrm e}^{3}}{x}$&$14$\\ risch&$2 x +\ln \left(x \right)-\frac{{\mathrm e}^{3}}{x}$&$14$\\ norman&$\frac{2 x^{2}-{\mathrm e}^{3}}{x}+\ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"2*x+ln(x)-exp(3)/x","A"
3813,1,18,24,0.053000," ","int((-2*exp(5)^2*ln(x)*ln(ln(x))^2+2*x*exp(5)^2*ln(x)*ln(ln(x))-x*exp(5)^2)/ln(x)/ln(ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x \,{\mathrm e}^{10}+\frac{x^{2} {\mathrm e}^{10}}{\ln \left(\ln \left(x \right)\right)}$&$18$\\ norman&$\frac{x^{2} {\mathrm e}^{10}-2 x \,{\mathrm e}^{10} \ln \left(\ln \left(x \right)\right)}{\ln \left(\ln \left(x \right)\right)}$&$26$\\ \hline \end{longtable}"," ",0,"-2*x*exp(10)+x^2*exp(10)/ln(ln(x))","A"
3814,1,16,23,0.026000," ","int(((-x^2+x)*exp(-ln(x)+x-5)-5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5}{x}-\frac{{\mathrm e}^{x -5}}{x}$&$16$\\ risch&$\frac{5}{x}-\frac{{\mathrm e}^{x -5}}{x}$&$16$\\ norman&$\frac{5-{\mathrm e}^{-\ln \left(x \right)+x -5} x}{x}$&$18$\\ \hline \end{longtable}"," ",0,"5/x-1/x*exp(x-5)","A"
3815,1,38,22,0.075000," ","int(((-6*x^5*exp(-x^6+x)-x+1)*exp(x)+(-300*x^5+50)*exp(-x^6+x)+50)/(2*exp(x)^2+200*exp(x)+5000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{2 \,{\mathrm e}^{x}+100}+\frac{{\mathrm e}^{-x \left(x -1\right) \left(x^{4}+x^{3}+x^{2}+x +1\right)}}{2 \,{\mathrm e}^{x}+100}$&$38$\\ \hline \end{longtable}"," ",0,"1/2*x/(exp(x)+50)+1/2/(exp(x)+50)*exp(-x*(x-1)*(x^4+x^3+x^2+x+1))","A"
3816,1,20,15,0.032000," ","int(1/64*(-x^2*ln(3/5)+8*x^3+5*x^2+4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{16}-\frac{x \ln \left(\frac{3}{5}\right)}{64}+\frac{5 x}{64}-\frac{1}{16 x}$&$20$\\ gosper&$-\frac{x^{2} \ln \left(\frac{3}{5}\right)-4 x^{3}-5 x^{2}+4}{64 x}$&$24$\\ risch&$-\frac{x \ln \left(3\right)}{64}+\frac{x \ln \left(5\right)}{64}+\frac{x^{2}}{16}+\frac{5 x}{64}-\frac{1}{16 x}$&$25$\\ norman&$\frac{-\frac{1}{16}+\left(-\frac{\ln \left(3\right)}{64}+\frac{\ln \left(5\right)}{64}+\frac{5}{64}\right) x^{2}+\frac{x^{3}}{16}}{x}$&$26$\\ \hline \end{longtable}"," ",0,"1/16*x^2-1/64*x*ln(3/5)+5/64*x-1/16/x","A"
3817,1,20,19,0.050000," ","int(((4*x^4+12*x)*ln(x)-4*x^4+18*x^2+6*x)/(4*x^6-12*x^3+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-2 x^{2} \ln \left(x \right)-3}{2 x^{3}-3}$&$20$\\ default&$-\frac{3}{2 \left(x^{3}-\frac{3}{2}\right)}-\frac{2 \ln \left(x \right) x^{2}}{2 x^{3}-3}$&$27$\\ risch&$-\frac{2 \ln \left(x \right) x^{2}}{2 x^{3}-3}-\frac{3}{2 x^{3}-3}$&$29$\\ \hline \end{longtable}"," ",0,"(-2*x^2*ln(x)-3)/(2*x^3-3)","A"
3818,1,14,13,0.030000," ","int(((-exp(x^3)+x)*ln(-exp(x^3)+x)+3*x^3*exp(x^3)-x)/(x^2*exp(x^3)-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(-{\mathrm e}^{x^{3}}+x \right)}{x}$&$14$\\ risch&$\frac{\ln \left(-{\mathrm e}^{x^{3}}+x \right)}{x}$&$14$\\ \hline \end{longtable}"," ",0,"ln(-exp(x^3)+x)/x","A"
3819,1,21,19,0.019000," ","int(1/3*(-8*x*ln(x)^2-8*x*ln(x)-12*x+9)*exp(-4/3*x^2*ln(x)^2-2*x^2+3*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-\frac{4 x^{2} \ln \left(x \right)^{2}}{3}-2 x^{2}+3 x +1}$&$21$\\ risch&${\mathrm e}^{-\frac{4 x^{2} \ln \left(x \right)^{2}}{3}-2 x^{2}+3 x +1}$&$21$\\ \hline \end{longtable}"," ",0,"exp(-4/3*x^2*ln(x)^2-2*x^2+3*x+1)","A"
3820,1,193,26,0.126000," ","int(((-8*x^4-x^3+32*x^2+2*x-32)*exp(x)*ln((2*x^2-4)/(40*x^2+5*x-80))+(8*x^6+17*x^5-30*x^4-66*x^3+27*x^2+64*x-2)*exp(x))/(8*x^4+x^3-32*x^2-2*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x} \ln \left(x^{2}+\frac{1}{8} x -2\right)-{\mathrm e}^{x} \ln \left(x^{2}-2\right)+\frac{i {\mathrm e}^{x} \pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}+\frac{1}{8} x -2}\right) \mathrm{csgn}\left(i \left(x^{2}-2\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-2\right)}{x^{2}+\frac{1}{8} x -2}\right)}{2}-\frac{i {\mathrm e}^{x} \pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}+\frac{1}{8} x -2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-2\right)}{x^{2}+\frac{1}{8} x -2}\right)^{2}}{2}-\frac{i {\mathrm e}^{x} \pi  \,\mathrm{csgn}\left(i \left(x^{2}-2\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-2\right)}{x^{2}+\frac{1}{8} x -2}\right)^{2}}{2}+\frac{i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}-2\right)}{x^{2}+\frac{1}{8} x -2}\right)^{3}}{2}+{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{x} \ln \left(2\right)+{\mathrm e}^{x} \ln \left(5\right)$&$193$\\ \hline \end{longtable}"," ",0,"exp(x)*ln(x^2+1/8*x-2)-exp(x)*ln(x^2-2)+1/2*I*exp(x)*Pi*csgn(I/(x^2+1/8*x-2))*csgn(I*(x^2-2))*csgn(I/(x^2+1/8*x-2)*(x^2-2))-1/2*I*exp(x)*Pi*csgn(I/(x^2+1/8*x-2))*csgn(I/(x^2+1/8*x-2)*(x^2-2))^2-1/2*I*exp(x)*Pi*csgn(I*(x^2-2))*csgn(I/(x^2+1/8*x-2)*(x^2-2))^2+1/2*I*exp(x)*Pi*csgn(I/(x^2+1/8*x-2)*(x^2-2))^3+exp(x)*x^2+2*exp(x)*ln(2)+exp(x)*ln(5)","C"
3821,1,13,15,0.023000," ","int(((x-1)*exp(x)+exp(2)-3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-{\mathrm e}^{2}+3+{\mathrm e}^{x}}{x}$&$13$\\ default&$-\frac{{\mathrm e}^{2}}{x}+\frac{3}{x}+\frac{{\mathrm e}^{x}}{x}$&$20$\\ risch&$-\frac{{\mathrm e}^{2}}{x}+\frac{3}{x}+\frac{{\mathrm e}^{x}}{x}$&$20$\\ \hline \end{longtable}"," ",0,"(-exp(2)+3+exp(x))/x","A"
3822,1,24,21,0.154000," ","int(((27*exp(1)*exp(9*x)-3)*exp(-exp(1)*exp(9*x)+x)+24*x)/(exp(-exp(1)*exp(9*x)+x)^2-8*x^2*exp(-exp(1)*exp(9*x)+x)+16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{3}{4 x^{2}-{\mathrm e}^{-{\mathrm e} \,{\mathrm e}^{9 x}+x}}$&$24$\\ risch&$-\frac{3}{4 x^{2}-{\mathrm e}^{-{\mathrm e}^{9 x +1}+x}}$&$24$\\ \hline \end{longtable}"," ",0,"-3/(4*x^2-exp(-exp(1)*exp(9*x)+x))","A"
3823,1,21,21,0.162000," ","int(((2*(21*x-9)*ln(2)*ln(x)+2*(-63*x+27)*ln(2))*ln(ln(x)-3)+7*x^2*ln(x)+18*ln(2)-21*x^2)/((18*x*ln(2)*ln(x)-54*x*ln(2))*ln(ln(x)-3)+3*x^2*ln(x)-9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)+\frac{7 x}{3}+\ln \left(6 \ln \left(2\right) \ln \left(\ln \left(x \right)-3\right)+x \right)$&$21$\\ risch&$\frac{7 x}{3}-\ln \left(x \right)+\ln \left(\ln \left(\ln \left(x \right)-3\right)+\frac{x}{6 \ln \left(2\right)}\right)$&$23$\\ \hline \end{longtable}"," ",0,"-ln(x)+7/3*x+ln(6*ln(2)*ln(ln(x)-3)+x)","A"
3824,1,66,31,0.106000," ","int(((-ln(5*x^2)+(-10*x^2+x-2)*ln(x)-5*x^2+x+3)*ln(2*ln(2))-x*ln(x)+3-x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{3}{2}+\frac{3 \ln \left(2\right)}{2}+\frac{3 \ln \left(\ln \left(2\right)\right)}{2}\right) \ln \left(5 x^{2}\right)+\left(-5 \ln \left(2\right)-5 \ln \left(\ln \left(2\right)\right)\right) x^{2} \ln \left(x \right)+\left(-\ln \left(2\right)-\ln \left(\ln \left(2\right)\right)\right) \ln \left(x \right) \ln \left(5 x^{2}\right)+\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)-1\right) x \ln \left(x \right)$&$66$\\ default&$-5 x^{2} \ln \left(x \right) \ln \left(\ln \left(2\right)\right)+x \ln \left(x \right) \ln \left(\ln \left(2\right)\right)-\ln \left(x \right)^{2} \ln \left(\ln \left(2\right)\right)-x \ln \left(x \right)+3 \ln \left(2\right) \ln \left(x \right)-\ln \left(2\right) \ln \left(5\right) \ln \left(x \right)-\frac{\ln \left(2\right) \ln \left(x^{2}\right)^{2}}{4}-5 x^{2} \ln \left(2\right) \ln \left(x \right)+x \ln \left(2\right) \ln \left(x \right)-\ln \left(2\right) \ln \left(x \right)^{2}+3 \ln \left(x \right)-\ln \left(\ln \left(2\right)\right) \ln \left(5\right) \ln \left(x \right)-\frac{\ln \left(\ln \left(2\right)\right) \ln \left(x^{2}\right)^{2}}{4}+3 \ln \left(x \right) \ln \left(\ln \left(2\right)\right)$&$111$\\ risch&$-2 \ln \left(x \right)^{2} \ln \left(\ln \left(2\right)\right)-2 \ln \left(2\right) \ln \left(x \right)^{2}+\left(-5 x^{2} \ln \left(\ln \left(2\right)\right)-5 x^{2} \ln \left(2\right)+x \ln \left(\ln \left(2\right)\right)+x \ln \left(2\right)-x \right) \ln \left(x \right)-\frac{\left(-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} \ln \left(\ln \left(2\right)\right)-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} \ln \left(2\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \ln \left(\ln \left(2\right)\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \ln \left(2\right)-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \ln \left(\ln \left(2\right)\right)-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \ln \left(2\right)-6+2 \ln \left(\ln \left(2\right)\right) \ln \left(5\right)+2 \ln \left(2\right) \ln \left(5\right)-6 \ln \left(\ln \left(2\right)\right)-6 \ln \left(2\right)\right) \ln \left(x \right)}{2}$&$191$\\ \hline \end{longtable}"," ",0,"(3/2+3/2*ln(2)+3/2*ln(ln(2)))*ln(5*x^2)+(-5*ln(2)-5*ln(ln(2)))*x^2*ln(x)+(-ln(2)-ln(ln(2)))*ln(x)*ln(5*x^2)+(ln(2)+ln(ln(2))-1)*x*ln(x)","B"
3825,1,12,13,0.088000," ","int(20*exp((20*exp(2)*ln(x)+60*exp(2)-400)/exp(2))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{20} {\mathrm e}^{60-400 \,{\mathrm e}^{-2}}$&$12$\\ norman&${\mathrm e}^{60} {\mathrm e}^{-400 \,{\mathrm e}^{-2}} x^{20}$&$14$\\ gosper&${\mathrm e}^{20 \left({\mathrm e}^{2} \ln \left(x \right)+3 \,{\mathrm e}^{2}-20\right) {\mathrm e}^{-2}}$&$19$\\ derivativedivides&${\mathrm e}^{\left(20 \,{\mathrm e}^{2} \ln \left(x \right)+60 \,{\mathrm e}^{2}-400\right) {\mathrm e}^{-2}}$&$19$\\ default&${\mathrm e}^{\left(20 \,{\mathrm e}^{2} \ln \left(x \right)+60 \,{\mathrm e}^{2}-400\right) {\mathrm e}^{-2}}$&$19$\\ \hline \end{longtable}"," ",0,"x^20*exp(60-400*exp(-2))","A"
3826,1,15,13,0.094000," ","int((4*x^4+8*x-6)/(x^4+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x +\ln \left(x^{3}+2\right)-3 \ln \left(x \right)$&$15$\\ norman&$4 x +\ln \left(x^{3}+2\right)-3 \ln \left(x \right)$&$15$\\ risch&$4 x +\ln \left(x^{3}+2\right)-3 \ln \left(x \right)$&$15$\\ meijerg&$\ln \left(1+\frac{x^{3}}{2}\right)-3 \ln \left(x \right)+\ln \left(2\right)+\frac{4 \,2^{\frac{1}{3}} \left(\frac{3 x 2^{\frac{2}{3}}}{2}-\frac{x 2^{\frac{2}{3}} \left(\frac{2^{\frac{1}{3}} \ln \left(1+\frac{2^{\frac{2}{3}} \left(x^{3}\right)^{\frac{1}{3}}}{2}\right)}{\left(x^{3}\right)^{\frac{1}{3}}}-\frac{2^{\frac{1}{3}} \ln \left(1-\frac{2^{\frac{2}{3}} \left(x^{3}\right)^{\frac{1}{3}}}{2}+\frac{2^{\frac{1}{3}} \left(x^{3}\right)^{\frac{2}{3}}}{2}\right)}{2 \left(x^{3}\right)^{\frac{1}{3}}}+\frac{2^{\frac{1}{3}} \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, 2^{\frac{2}{3}} \left(x^{3}\right)^{\frac{1}{3}}}{4-2^{\frac{2}{3}} \left(x^{3}\right)^{\frac{1}{3}}}\right)}{\left(x^{3}\right)^{\frac{1}{3}}}\right)}{2}\right)}{3}+\frac{4 \,2^{\frac{1}{3}} \left(\frac{x \ln \left(1+\frac{2^{\frac{2}{3}} \left(x^{3}\right)^{\frac{1}{3}}}{2}\right)}{\left(x^{3}\right)^{\frac{1}{3}}}-\frac{x \ln \left(1-\frac{2^{\frac{2}{3}} \left(x^{3}\right)^{\frac{1}{3}}}{2}+\frac{2^{\frac{1}{3}} \left(x^{3}\right)^{\frac{2}{3}}}{2}\right)}{2 \left(x^{3}\right)^{\frac{1}{3}}}+\frac{x \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, 2^{\frac{2}{3}} \left(x^{3}\right)^{\frac{1}{3}}}{4-2^{\frac{2}{3}} \left(x^{3}\right)^{\frac{1}{3}}}\right)}{\left(x^{3}\right)^{\frac{1}{3}}}\right)}{3}$&$225$\\ \hline \end{longtable}"," ",0,"4*x+ln(x^3+2)-3*ln(x)","A"
3827,1,25,16,0.054000," ","int(((2*x^4+3150*x)*exp(3)^3+(36*x^3-18900)*exp(3)^2+216*x^2*exp(3)+432*x)/(x^3*exp(3)^3+18*x^2*exp(3)^2+108*x*exp(3)+216),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{3150 x \,{\mathrm e}^{6}}{x^{2} {\mathrm e}^{6}+12 x \,{\mathrm e}^{3}+36}$&$25$\\ norman&$\frac{x^{4} {\mathrm e}^{6}-3150 x \,{\mathrm e}^{6}+36 x^{2}+12 x^{3} {\mathrm e}^{3}}{\left(x \,{\mathrm e}^{3}+6\right)^{2}}$&$38$\\ gosper&$\frac{x \left(x^{3} {\mathrm e}^{6}+12 x^{2} {\mathrm e}^{3}-3150 \,{\mathrm e}^{6}+36 x \right)}{x^{2} {\mathrm e}^{6}+12 x \,{\mathrm e}^{3}+36}$&$45$\\ default&$x^{2}+1050 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3} {\mathrm e}^{9}+18 \textit{\_Z}^{2} {\mathrm e}^{6}+108 \textit{\_Z} \,{\mathrm e}^{3}+216\right)}{\sum}\frac{\left(\textit{\_R} \,{\mathrm e}^{9}-6 \,{\mathrm e}^{6}\right) \ln \left(x -\textit{\_R} \right)}{\textit{\_R}^{2} {\mathrm e}^{9}+12 \textit{\_R} \,{\mathrm e}^{6}+36 \,{\mathrm e}^{3}}\right)$&$65$\\ \hline \end{longtable}"," ",0,"x^2-3150*x*exp(6)/(x^2*exp(6)+12*x*exp(3)+36)","A"
3828,1,17,24,0.214000," ","int((-3600*exp(2)^2-7200*x+43200)*exp(-2*x/(exp(2)^2-12))^2*exp(900*exp(-2*x/(exp(2)^2-12))^2/x^2)^2/(x^3*exp(2)^2-12*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{1800 \,{\mathrm e}^{-\frac{4 x}{{\mathrm e}^{4}-12}}}{x^{2}}}$&$17$\\ \hline \end{longtable}"," ",0,"exp(1800*exp(-4*x/(exp(4)-12))/x^2)","A"
3829,1,21,26,0.037000," ","int(((1-x)*exp(x)-4*ln(2)^2-3*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x -\frac{{\mathrm e}^{x}}{x}+\frac{4 \ln \left(2\right)^{2}}{x}$&$21$\\ norman&$\frac{-3 x^{2}+4 \ln \left(2\right)^{2}-{\mathrm e}^{x}}{x}$&$21$\\ risch&$-3 x -\frac{{\mathrm e}^{x}}{x}+\frac{4 \ln \left(2\right)^{2}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"-3*x-exp(x)/x+4*ln(2)^2/x","A"
3830,1,36,25,0.047000," ","int(((-12*x^3+28*x^2+44*x-60)*exp(x)^2+(-12*x^4+28*x^3+44*x^2-60*x)*exp(x)+6*x^4-46*x^3)*exp((exp(x)^2+2*exp(x)*x+x^2)/x^2)/(27*x^6+135*x^5+225*x^4+125*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(x -3\right) {\mathrm e}^{\frac{{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x +x^{2}}{x^{2}}}}{9 x^{2}+30 x +25}$&$36$\\ \hline \end{longtable}"," ",0,"-2*(x-3)/(9*x^2+30*x+25)*exp((exp(2*x)+2*exp(x)*x+x^2)/x^2)","A"
3831,1,9,16,0.011000," ","int(10*exp(3+ln(3))-5/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(30 \,{\mathrm e}^{3}-\frac{5}{2}\right) x$&$9$\\ risch&$30 x \,{\mathrm e}^{3}-\frac{5 x}{2}$&$10$\\ default&$\left(10 \,{\mathrm e}^{3+\ln \left(3\right)}-\frac{5}{2}\right) x$&$12$\\ \hline \end{longtable}"," ",0,"(30*exp(3)-5/2)*x","A"
3832,1,13,19,0.029000," ","int(12*x^2*exp(1)/exp(exp(3-x)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \,{\mathrm e} \,{\mathrm e}^{-{\mathrm e}^{3}} x^{3}$&$13$\\ norman&$4 \,{\mathrm e} \,{\mathrm e}^{-{\mathrm e}^{3}} x^{3}$&$13$\\ risch&$4 x^{3} {\mathrm e}^{-{\mathrm e}^{3}+1}$&$13$\\ gosper&$4 \,{\mathrm e} \,{\mathrm e}^{-{\mathrm e}^{3}} x^{3}$&$20$\\ \hline \end{longtable}"," ",0,"4*exp(1)*x^3/exp(exp(3))","A"
3833,1,31,23,0.202000," ","int((-ln(5)*ln(1/3*x)^2+ln(5)*ln(1/3*x)-ln(5))*exp(ln(5)*ln(1/3*x)/((2+x)*ln(1/3*x)-x))/((x^2+4*x+4)*ln(1/3*x)^2+(-2*x^2-4*x)*ln(1/3*x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{x}{3}\right)^{\frac{\ln \left(5\right)}{x \left(\ln \left(x \right)-\ln \left(3\right)\right)+2 \ln \left(x \right)-2 \ln \left(3\right)-x}}$&$31$\\ norman&$\frac{x \ln \left(\frac{x}{3}\right) {\mathrm e}^{\frac{\ln \left(5\right) \ln \left(\frac{x}{3}\right)}{\left(2+x \right) \ln \left(\frac{x}{3}\right)-x}}-x \,{\mathrm e}^{\frac{\ln \left(5\right) \ln \left(\frac{x}{3}\right)}{\left(2+x \right) \ln \left(\frac{x}{3}\right)-x}}+2 \ln \left(\frac{x}{3}\right) {\mathrm e}^{\frac{\ln \left(5\right) \ln \left(\frac{x}{3}\right)}{\left(2+x \right) \ln \left(\frac{x}{3}\right)-x}}}{x \ln \left(\frac{x}{3}\right)+2 \ln \left(\frac{x}{3}\right)-x}$&$102$\\ \hline \end{longtable}"," ",0,"(1/3*x)^(ln(5)/(x*(ln(x)-ln(3))+2*ln(x)-2*ln(3)-x))","A"
3834,1,24,20,0.081000," ","int((-35*x^(1/3)*exp(ln(x)-5)+exp(2)*exp(4))/exp(2)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-2} {\mathrm e}^{-4} \left({\mathrm e}^{2} {\mathrm e}^{4} x -15 x^{\frac{7}{3}} {\mathrm e}^{-5}\right)$&$24$\\ derivativedivides&$3 \,{\mathrm e}^{-2} {\mathrm e}^{-4} \left(\frac{{\mathrm e}^{2} {\mathrm e}^{4} x}{3}-5 x^{\frac{7}{3}} {\mathrm e}^{-5}\right)$&$26$\\ \hline \end{longtable}"," ",0,"1/exp(2)/exp(4)*(exp(2)*exp(4)*x-15*x^(7/3)*exp(-5))","A"
3835,1,23,20,0.054000," ","int(1/2*((exp(1)*exp(3)+2)*ln(x)^2+5*exp(1)^2*exp(3)*ln(x)-5*exp(1)^2*exp(3))*exp(1/2*((x*exp(1)*exp(3)+2*x)*ln(x)+5*x*exp(1)^2*exp(3))/ln(x))/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \left({\mathrm e}^{4} \ln \left(x \right)+5 \,{\mathrm e}^{5}+2 \ln \left(x \right)\right)}{2 \ln \left(x \right)}}$&$23$\\ norman&${\mathrm e}^{\frac{\left(x \,{\mathrm e} \,{\mathrm e}^{3}+2 x \right) \ln \left(x \right)+5 x \,{\mathrm e}^{2} {\mathrm e}^{3}}{2 \ln \left(x \right)}}$&$31$\\ \hline \end{longtable}"," ",0,"exp(1/2*x*(exp(4)*ln(x)+5*exp(5)+2*ln(x))/ln(x))","A"
3836,1,23,22,0.082000," ","int((-16*x^2*ln(x)^2-32*ln(x)+(-16*x^3-16*x^2-16*x)*exp(x)-80*x^3-80*x)/(x*exp(x^2)^2*ln(x)^10+(5*exp(x)*x^2+25*x^2)*exp(x^2)^2*ln(x)^8+(10*exp(x)^2*x^3+100*exp(x)*x^3+250*x^3)*exp(x^2)^2*ln(x)^6+(10*x^4*exp(x)^3+150*exp(x)^2*x^4+750*exp(x)*x^4+1250*x^4)*exp(x^2)^2*ln(x)^4+(5*x^5*exp(x)^4+100*x^5*exp(x)^3+750*x^5*exp(x)^2+2500*x^5*exp(x)+3125*x^5)*exp(x^2)^2*ln(x)^2+(x^6*exp(x)^5+25*x^6*exp(x)^4+250*x^6*exp(x)^3+1250*x^6*exp(x)^2+3125*x^6*exp(x)+3125*x^6)*exp(x^2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-2 x^{2}}}{\left(\ln \left(x \right)^{2}+5 x +{\mathrm e}^{x} x \right)^{4}}$&$23$\\ \hline \end{longtable}"," ",0,"4*exp(-2*x^2)/(ln(x)^2+5*x+exp(x)*x)^4","A"
3837,1,24,25,0.054000," ","int((((exp(1)-2)*exp(x*exp(1)-2*x-2)-1)*ln(ln(3))^2+1)/((exp(x*exp(1)-2*x-2)-x)*ln(ln(3))^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\left({\mathrm e}^{x \,{\mathrm e}-2 x -2}-x \right) \ln \left(\ln \left(3\right)\right)^{2}+x \right)$&$24$\\ default&$\ln \left(\left({\mathrm e}^{x \,{\mathrm e}-2 x -2}-x \right) \ln \left(\ln \left(3\right)\right)^{2}+x \right)$&$24$\\ norman&$\ln \left(\ln \left(\ln \left(3\right)\right)^{2} x -\ln \left(\ln \left(3\right)\right)^{2} {\mathrm e}^{x \,{\mathrm e}-2 x -2}-x \right)$&$30$\\ risch&$2+\ln \left({\mathrm e}^{x \,{\mathrm e}-2 x -2}-\frac{x \left(\ln \left(\ln \left(3\right)\right)^{2}-1\right)}{\ln \left(\ln \left(3\right)\right)^{2}}\right)$&$30$\\ \hline \end{longtable}"," ",0,"ln((exp(x*exp(1)-2*x-2)-x)*ln(ln(3))^2+x)","A"
3838,1,22,26,0.059000," ","int(((3*x^4+2*x^3-10*x^2+12*x-3)*ln(3*x-1)-3*x^3+9*x)/(3*x^4-x^3-9*x^2+3*x)/ln(3*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\ln \left(x \right)-\ln \left(\ln \left(3 x -1\right)\right)+\ln \left(x^{2}-3\right)$&$22$\\ risch&$x -\ln \left(x \right)-\ln \left(\ln \left(3 x -1\right)\right)+\ln \left(x^{2}-3\right)$&$22$\\ derivativedivides&$x -\frac{1}{3}-\ln \left(3 x \right)+\ln \left(\left(3 x -1\right)^{2}+6 x -28\right)-\ln \left(\ln \left(3 x -1\right)\right)$&$32$\\ default&$x -\frac{1}{3}-\ln \left(3 x \right)+\ln \left(\left(3 x -1\right)^{2}+6 x -28\right)-\ln \left(\ln \left(3 x -1\right)\right)$&$32$\\ \hline \end{longtable}"," ",0,"x-ln(x)-ln(ln(3*x-1))+ln(x^2-3)","A"
3839,1,9,8,0.018000," ","int(1/x/ln(x)/ln(-exp(2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\ln \left(-{\mathrm e}^{2} \ln \left(x \right)\right)\right)$&$9$\\ default&$\ln \left(\ln \left(-{\mathrm e}^{2} \ln \left(x \right)\right)\right)$&$9$\\ norman&$\ln \left(\ln \left(-{\mathrm e}^{2} \ln \left(x \right)\right)\right)$&$9$\\ risch&$\ln \left(\ln \left(-{\mathrm e}^{2} \ln \left(x \right)\right)\right)$&$9$\\ \hline \end{longtable}"," ",0,"ln(ln(-exp(2)*ln(x)))","A"
3840,1,12,16,0.017000," ","int(1/9*(-49*x^2+9*x-8)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{49 x}{9}+\ln \left(x \right)+\frac{8}{9 x}$&$12$\\ risch&$-\frac{49 x}{9}+\ln \left(x \right)+\frac{8}{9 x}$&$12$\\ norman&$\frac{\frac{8}{9}-\frac{49 x^{2}}{9}}{x}+\ln \left(x \right)$&$15$\\ \hline \end{longtable}"," ",0,"-49/9*x+ln(x)+8/9/x","A"
3841,1,70,29,0.345000," ","int((((-32*x-64)*exp(1)^2*exp(2/x)^2+(-64*x-64)*exp(1)*exp(2/x)-32*x)*exp(x)^2+((704*x^2+1408*x+1408)*exp(1)^2*exp(2/x)+(704*x^2+1408*x)*exp(1))*exp(x)+(-15488*x^2-15488*x)*exp(1)^2)*exp(((16*exp(1)^2*exp(2/x)^2+32*exp(1)*exp(2/x)+16)*exp(x)^2+(-704*exp(1)^2*exp(2/x)-704*exp(1))*exp(x)+7744*exp(1)^2)/x^2/exp(1)^2/exp(x)^2)/x^4/exp(1)^2/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{16 \left({\mathrm e}^{\frac{2 x^{2}+2 x +4}{x}}+2 \,{\mathrm e}^{\frac{2 x^{2}+x +2}{x}}-44 \,{\mathrm e}^{\frac{x^{2}+2 x +2}{x}}-44 \,{\mathrm e}^{x +1}+484 \,{\mathrm e}^{2}+{\mathrm e}^{2 x}\right) {\mathrm e}^{-2 x -2}}{x^{2}}}$&$70$\\ \hline \end{longtable}"," ",0,"exp(16*(exp(2*(x^2+x+2)/x)+2*exp((2*x^2+x+2)/x)-44*exp((x^2+2*x+2)/x)-44*exp(x+1)+484*exp(2)+exp(2*x))*exp(-2*x-2)/x^2)","B"
3842,1,27,25,0.076000," ","int((((-2*exp(4)-2*x^2+4*x)*exp((exp(4)-x^2)/x)-3*x^2)*ln(x)+2*x*exp((exp(4)-x^2)/x)-x^2)/(2*x^2*exp((exp(4)-x^2)/x)-x^3)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(x \right)+\ln \left(\ln \left(x \right)\right)+\ln \left(x -2 \,{\mathrm e}^{\frac{{\mathrm e}^{4}-x^{2}}{x}}\right)$&$27$\\ risch&$\ln \left(-\frac{x}{2}+{\mathrm e}^{\frac{{\mathrm e}^{4}-x^{2}}{x}}\right)+2 \ln \left(x \right)+\ln \left(\ln \left(x \right)\right)$&$27$\\ \hline \end{longtable}"," ",0,"2*ln(x)+ln(ln(x))+ln(x-2*exp((exp(4)-x^2)/x))","A"
3843,1,14,12,0.017000," ","int((-2*x^2-4*x+1)/(x*ln(x)-x^3-4*x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x^{2}+4 x -\ln \left(x \right)-2\right)$&$14$\\ risch&$\ln \left(-x^{2}+\ln \left(x \right)-4 x +2\right)$&$14$\\ \hline \end{longtable}"," ",0,"ln(x^2+4*x-ln(x)-2)","A"
3844,1,17,17,0.017000," ","int(((3*x^2+2*x+1)*exp(x^2)+10*x)/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{3}+x^{2}+x -5 \,{\mathrm e}^{-x^{2}}$&$17$\\ risch&$x^{3}+x^{2}+x -5 \,{\mathrm e}^{-x^{2}}$&$17$\\ norman&$\left(-5+x^{2} {\mathrm e}^{x^{2}}+x^{3} {\mathrm e}^{x^{2}}+{\mathrm e}^{x^{2}} x \right) {\mathrm e}^{-x^{2}}$&$32$\\ \hline \end{longtable}"," ",0,"x^3+x^2+x-5/exp(x^2)","A"
3845,1,63,30,0.077000," ","int(1/3*((2*x^2+11*x+10)*ln(x)^2+(-12*x^2-68*x-70)*ln(x)+4*x^3*exp(3+x)^2+18*x^2+105*x+120)/x^3/exp(3+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(5+x \right) {\mathrm e}^{-2 x -6} \ln \left(x \right)^{2}}{3 x^{2}}+\frac{2 \left(5+x \right) {\mathrm e}^{-2 x -6} \ln \left(x \right)}{x^{2}}+\frac{\left(4 x^{3} {\mathrm e}^{2 x +6}-9 x -45\right) {\mathrm e}^{-2 x -6}}{3 x^{2}}$&$63$\\ \hline \end{longtable}"," ",0,"-1/3*(5+x)/x^2*exp(-2*x-6)*ln(x)^2+2*(5+x)/x^2*exp(-2*x-6)*ln(x)+1/3*(4*x^3*exp(2*x+6)-9*x-45)/x^2*exp(-2*x-6)","B"
3846,1,8,11,0.019000," ","int(-2/3*exp(-1/3*ln(x)+5)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{5}}{x^{\frac{1}{3}}}$&$8$\\ gosper&$2 \,{\mathrm e}^{-\frac{\ln \left(x \right)}{3}+5}$&$10$\\ derivativedivides&$2 \,{\mathrm e}^{-\frac{\ln \left(x \right)}{3}+5}$&$10$\\ default&$2 \,{\mathrm e}^{-\frac{\ln \left(x \right)}{3}+5}$&$10$\\ \hline \end{longtable}"," ",0,"2*exp(5)/x^(1/3)","A"
3847,1,30,28,0.092000," ","int(((x+1)*ln(2)^2+(-2*x^2+2*x+2)*ln(2)-10*x^2-15*x-15)*exp((-x*ln(3)+5)/ln(3))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{{\mathrm e}^{-\frac{x \ln \left(3\right)-5}{\ln \left(3\right)}} \left(\ln \left(2\right)+5\right) \left(-3-2 x +\ln \left(2\right)\right)}{x}$&$30$\\ risch&$-\frac{\left(\ln \left(2\right)^{2}-2 x \ln \left(2\right)+2 \ln \left(2\right)-10 x -15\right) {\mathrm e}^{-\frac{x \ln \left(3\right)-5}{\ln \left(3\right)}}}{x}$&$37$\\ norman&$\frac{\left(-\ln \left(2\right)^{2}-2 \ln \left(2\right)+15\right) {\mathrm e}^{\frac{-x \ln \left(3\right)+5}{\ln \left(3\right)}}+\left(2 \ln \left(2\right)+10\right) x \,{\mathrm e}^{\frac{-x \ln \left(3\right)+5}{\ln \left(3\right)}}}{x}$&$53$\\ derivativedivides&$-\frac{\ln \left(2\right)^{2} {\mathrm e}^{\frac{5}{\ln \left(3\right)}-x}}{x}+\frac{15 \,{\mathrm e}^{\frac{5}{\ln \left(3\right)}-x}}{x}+10 \,{\mathrm e}^{\frac{5}{\ln \left(3\right)}-x}-\frac{2 \ln \left(2\right) {\mathrm e}^{\frac{5}{\ln \left(3\right)}-x}}{x}+2 \ln \left(2\right) {\mathrm e}^{\frac{5}{\ln \left(3\right)}-x}$&$84$\\ default&$-\frac{\ln \left(2\right)^{2} {\mathrm e}^{\frac{5}{\ln \left(3\right)}-x}}{x}+\frac{15 \,{\mathrm e}^{\frac{5}{\ln \left(3\right)}-x}}{x}+10 \,{\mathrm e}^{\frac{5}{\ln \left(3\right)}-x}-\frac{2 \ln \left(2\right) {\mathrm e}^{\frac{5}{\ln \left(3\right)}-x}}{x}+2 \ln \left(2\right) {\mathrm e}^{\frac{5}{\ln \left(3\right)}-x}$&$84$\\ meijerg&$\left(-2 \ln \left(2\right)-10\right) {\mathrm e}^{\frac{5}{\ln \left(3\right)}} \left(1-{\mathrm e}^{-x}\right)-\left(\ln \left(2\right)^{2}+2 \ln \left(2\right)-15\right) {\mathrm e}^{\frac{5}{\ln \left(3\right)}} \expIntegralEi \left(1, x\right)+\ln \left(2\right)^{2} {\mathrm e}^{\frac{5}{\ln \left(3\right)}} \left(\frac{-2 x +2}{2 x}-\frac{{\mathrm e}^{-x}}{x}+\expIntegralEi \left(1, x\right)+1-\frac{1}{x}\right)+2 \ln \left(2\right) {\mathrm e}^{\frac{5}{\ln \left(3\right)}} \left(\frac{-2 x +2}{2 x}-\frac{{\mathrm e}^{-x}}{x}+\expIntegralEi \left(1, x\right)+1-\frac{1}{x}\right)-15 \,{\mathrm e}^{\frac{5}{\ln \left(3\right)}} \left(\frac{-2 x +2}{2 x}-\frac{{\mathrm e}^{-x}}{x}+\expIntegralEi \left(1, x\right)+1-\frac{1}{x}\right)$&$165$\\ \hline \end{longtable}"," ",0,"-exp(-(x*ln(3)-5)/ln(3))*(ln(2)+5)*(-3-2*x+ln(2))/x","A"
3848,1,30,18,0.058000," ","int((2*(16*x^4+96*x^3+216*x^2+216*x+81)*ln(3)*exp(x)+2*(64*x^3+288*x^2+432*x+216)*ln(3))*exp(exp(x))/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \left(16 x^{4}+96 x^{3}+216 x^{2}+216 x +81\right) \ln \left(3\right) {\mathrm e}^{{\mathrm e}^{x}-2}$&$30$\\ norman&$162 \,{\mathrm e}^{-2} \ln \left(3\right) {\mathrm e}^{{\mathrm e}^{x}}+432 \,{\mathrm e}^{-2} \ln \left(3\right) x \,{\mathrm e}^{{\mathrm e}^{x}}+432 \,{\mathrm e}^{-2} \ln \left(3\right) x^{2} {\mathrm e}^{{\mathrm e}^{x}}+192 \,{\mathrm e}^{-2} \ln \left(3\right) x^{3} {\mathrm e}^{{\mathrm e}^{x}}+32 \,{\mathrm e}^{-2} \ln \left(3\right) x^{4} {\mathrm e}^{{\mathrm e}^{x}}$&$67$\\ \hline \end{longtable}"," ",0,"2*(16*x^4+96*x^3+216*x^2+216*x+81)*ln(3)*exp(exp(x)-2)","A"
3849,1,25,18,0.064000," ","int(1/3*(2*exp(x)^2+(2*x-3)*exp(x)-10)*exp(1/3*exp(x)^2+1/3*(2*x-5)*exp(x)-10/3*x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +{\mathrm e}^{\frac{{\mathrm e}^{2 x}}{3}+\frac{\left(2 x -5\right) {\mathrm e}^{x}}{3}-\frac{10 x}{3}}$&$25$\\ norman&$-x +{\mathrm e}^{\frac{{\mathrm e}^{2 x}}{3}+\frac{\left(2 x -5\right) {\mathrm e}^{x}}{3}-\frac{10 x}{3}}$&$25$\\ risch&$-x +{\mathrm e}^{\frac{{\mathrm e}^{2 x}}{3}+\frac{2 \,{\mathrm e}^{x} x}{3}-\frac{5 \,{\mathrm e}^{x}}{3}-\frac{10 x}{3}}$&$25$\\ \hline \end{longtable}"," ",0,"-x+exp(1/3*exp(x)^2+1/3*(2*x-5)*exp(x)-10/3*x)","A"
3850,1,16,19,0.034000," ","int((-8*x^3+32*x)*exp(x^4-8*x^2+20)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{2 x^{4}-16 x^{2}+40}$&$16$\\ norman&$-{\mathrm e}^{2 x^{4}-16 x^{2}+40}$&$16$\\ risch&$-{\mathrm e}^{2 x^{4}-16 x^{2}+40}$&$16$\\ \hline \end{longtable}"," ",0,"-exp(x^4-8*x^2+20)^2","A"
3851,1,20,17,0.022000," ","int(-1/2*exp(25)+1/2*exp(2)-9/2*x^2+x-1/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(3 x^{2}+{\mathrm e}^{25}-{\mathrm e}^{2}-x +1\right)}{2}$&$20$\\ norman&$\left(-\frac{{\mathrm e}^{25}}{2}+\frac{{\mathrm e}^{2}}{2}-\frac{1}{2}\right) x +\frac{x^{2}}{2}-\frac{3 x^{3}}{2}$&$24$\\ default&$-\frac{x \,{\mathrm e}^{25}}{2}+\frac{{\mathrm e}^{2} x}{2}-\frac{3 x^{3}}{2}+\frac{x^{2}}{2}-\frac{x}{2}$&$25$\\ risch&$-\frac{x \,{\mathrm e}^{25}}{2}+\frac{{\mathrm e}^{2} x}{2}-\frac{3 x^{3}}{2}+\frac{x^{2}}{2}-\frac{x}{2}$&$25$\\ \hline \end{longtable}"," ",0,"-1/2*x*(3*x^2+exp(25)-exp(2)-x+1)","A"
3852,1,24,26,0.069000," ","int(1/3*((3*x^3+5*x^2)*exp((-x^3+16)/x)*exp(x)+3*x^2*exp((-x^3+16)/x)+30*x^3+240)/x^2/exp((-x^3+16)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(3 x +2\right) {\mathrm e}^{x}}{3}+5 \,{\mathrm e}^{\frac{x^{3}-16}{x}}$&$24$\\ norman&$\frac{\left(x^{2} {\mathrm e}^{\frac{-x^{3}+16}{x}}+{\mathrm e}^{x} x^{2} {\mathrm e}^{\frac{-x^{3}+16}{x}}+5 x +\frac{2 \,{\mathrm e}^{x} x \,{\mathrm e}^{\frac{-x^{3}+16}{x}}}{3}\right) {\mathrm e}^{-\frac{-x^{3}+16}{x}}}{x}$&$74$\\ \hline \end{longtable}"," ",0,"x+1/3*(3*x+2)*exp(x)+5*exp((x^3-16)/x)","A"
3853,1,25,27,0.203000," ","int((-15*x^2*exp(5)-40*x^2-135)*exp((3*x^2*exp(5)+8*x^2+9)/x^3)*exp(exp((3*x^2*exp(5)+8*x^2+9)/x^3))*exp(5*exp(exp((3*x^2*exp(5)+8*x^2+9)/x^3)))*exp(exp(5*exp(exp((3*x^2*exp(5)+8*x^2+9)/x^3))))/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{5 \,{\mathrm e}^{{\mathrm e}^{\frac{3 x^{2} {\mathrm e}^{5}+8 x^{2}+9}{x^{3}}}}}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(exp(5*exp(exp((3*x^2*exp(5)+8*x^2+9)/x^3))))","A"
3854,1,19,18,0.076000," ","int(((-3*x+1)*ln(4*x)-1)*exp(-ln(ln(4*x))+ln(x)-3*x-3)*exp(exp(-ln(ln(4*x))+ln(x)-3*x-3))/x/ln(4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \,{\mathrm e}^{-3 x -3}}{\ln \left(x \right)+2 \ln \left(2\right)}}$&$19$\\ \hline \end{longtable}"," ",0,"exp(1/(ln(x)+2*ln(2))*x*exp(-3*x-3))","A"
3855,1,31,26,0.341000," ","int((((15625*x^3-15656250*x^2+3921875000*x)*exp(4)^2-244140625*x^2+244140625*x)*exp(x)+(6*x^4-12000*x^3+9000000*x^2-3000000000*x+375000000000)*exp(4)^4+(-187500*x^3+187500000*x^2-46875000000*x)*exp(4)^2+1464843750*x^2)/((x^5-2000*x^4+1500000*x^3-500000000*x^2+62500000000*x)*exp(4)^4+(-31250*x^4+31250000*x^3-7812500000*x^2)*exp(4)^2+244140625*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{15625 \,{\mathrm e}^{x}}{x^{2} {\mathrm e}^{8}-1000 x \,{\mathrm e}^{8}+250000 \,{\mathrm e}^{8}-15625 x}+6 \ln \left(x \right)$&$31$\\ norman&$\frac{15625 \,{\mathrm e}^{x}}{x^{2} {\mathrm e}^{8}-1000 x \,{\mathrm e}^{8}+250000 \,{\mathrm e}^{8}-15625 x}+6 \ln \left(x \right)$&$37$\\ default&$\text{Expression too large to display}$&$4348$\\ \hline \end{longtable}"," ",0,"15625*exp(x)/(x^2*exp(8)-1000*x*exp(8)+250000*exp(8)-15625*x)+6*ln(x)","A"
3856,1,36,28,0.047000," ","int(((-4*exp(5+x)^4-16*x*exp(5+x)^3+(-24*x^2+8*x)*exp(5+x)^2+(-16*x^3+16*x^2)*exp(5+x)-4*x^4+8*x^3-4*x^2)*ln(x)+4*exp(5+x)^4+16*x*exp(5+x)^3+(24*x^2-104*x-48)*exp(5+x)^2+(16*x^3-112*x^2-192*x)*exp(5+x)+4*x^4-8*x^3-140*x^2+96*x)/(x^2*exp(5+x)^4+4*x^3*exp(5+x)^3+(6*x^4-2*x^3)*exp(5+x)^2+(4*x^5-4*x^4)*exp(5+x)+x^6-2*x^5+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \ln \left(x \right)}{x}+\frac{48}{x \left({\mathrm e}^{2 x +10}+2 x \,{\mathrm e}^{5+x}+x^{2}-x \right)}$&$36$\\ \hline \end{longtable}"," ",0,"4*ln(x)/x+48/x/(exp(2*x+10)+2*x*exp(5+x)+x^2-x)","A"
3857,1,119,20,0.085000," ","int(((25*x*ln(3)+25*x^2)*exp(x)*ln(x*ln(3)+x^2)+(25*ln(3)+50*x)*exp(x)-4*x^4*ln(3)-4*x^5)/((25*x*ln(3)+25*x^2)*exp(x)*ln(x*ln(3)+x^2)-x^5*ln(3)-x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(\ln \left(\ln \left(3\right)+x \right)+\frac{i \left(2 i x^{4}-25 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\ln \left(3\right)+x \right)\right) \mathrm{csgn}\left(i x \left(\ln \left(3\right)+x \right)\right) {\mathrm e}^{x}+25 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\ln \left(3\right)+x \right)\right)^{2} {\mathrm e}^{x}+25 \pi  \,\mathrm{csgn}\left(i \left(\ln \left(3\right)+x \right)\right) \mathrm{csgn}\left(i x \left(\ln \left(3\right)+x \right)\right)^{2} {\mathrm e}^{x}-25 \pi  \mathrm{csgn}\left(i x \left(\ln \left(3\right)+x \right)\right)^{3} {\mathrm e}^{x}-50 i {\mathrm e}^{x} \ln \left(x \right)\right) {\mathrm e}^{-x}}{50}\right)$&$119$\\ \hline \end{longtable}"," ",0,"x+ln(ln(ln(3)+x)+1/50*I*(2*I*x^4-25*Pi*csgn(I*x)*csgn(I*(ln(3)+x))*csgn(I*x*(ln(3)+x))*exp(x)+25*Pi*csgn(I*x)*csgn(I*x*(ln(3)+x))^2*exp(x)+25*Pi*csgn(I*(ln(3)+x))*csgn(I*x*(ln(3)+x))^2*exp(x)-25*Pi*csgn(I*x*(ln(3)+x))^3*exp(x)-50*I*exp(x)*ln(x))*exp(-x))","C"
3858,1,21,24,0.134000," ","int((-4*x^2+4*x+20)*exp(7/3*exp(1/4*exp(3)^2)+1/5*x)/(5*x^2-10*x+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x \,{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}}}{x -1}$&$21$\\ gosper&$-\frac{4 x \,{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}}}{x -1}$&$23$\\ norman&$-\frac{4 x \,{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}}}{x -1}$&$23$\\ derivativedivides&$\frac{12 \,{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}}}{-3 x +3}-\frac{4 \,{\mathrm e}^{\frac{1}{5}+\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}} \expIntegralEi \left(1, -\frac{x}{5}+\frac{1}{5}\right)}{5}+\frac{4 \,{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}} \left(35 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}+3\right)}{5 \left(-3 x +3\right)}-180 \left(\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{675}+\frac{2}{375}\right) {\mathrm e}^{\frac{1}{5}+\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}} \expIntegralEi \left(1, -\frac{x}{5}+\frac{1}{5}\right)-4 \,{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}}-\frac{4 \,{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}} \left(1225 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{2}}+210 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}+9\right)}{15 \left(-3 x +3\right)}+4 \left(\frac{49 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{2}}}{9}+\frac{28 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{5}+\frac{11}{25}\right) {\mathrm e}^{\frac{1}{5}+\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}} \expIntegralEi \left(1, -\frac{x}{5}+\frac{1}{5}\right)-420 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}} \left(\frac{{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}}}{-45 x +45}-\frac{{\mathrm e}^{\frac{1}{5}+\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}} \expIntegralEi \left(1, -\frac{x}{5}+\frac{1}{5}\right)}{225}\right)-4900 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{2}} \left(\frac{{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}}}{-45 x +45}-\frac{{\mathrm e}^{\frac{1}{5}+\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}} \expIntegralEi \left(1, -\frac{x}{5}+\frac{1}{5}\right)}{225}\right)+4200 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}} \left(\frac{{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}} \left(35 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}+3\right)}{-675 x +675}-\left(\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{675}+\frac{2}{375}\right) {\mathrm e}^{\frac{1}{5}+\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}} \expIntegralEi \left(1, -\frac{x}{5}+\frac{1}{5}\right)\right)$&$476$\\ default&$\frac{12 \,{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}}}{-3 x +3}-\frac{4 \,{\mathrm e}^{\frac{1}{5}+\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}} \expIntegralEi \left(1, -\frac{x}{5}+\frac{1}{5}\right)}{5}+\frac{4 \,{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}} \left(35 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}+3\right)}{5 \left(-3 x +3\right)}-180 \left(\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{675}+\frac{2}{375}\right) {\mathrm e}^{\frac{1}{5}+\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}} \expIntegralEi \left(1, -\frac{x}{5}+\frac{1}{5}\right)-4 \,{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}}-\frac{4 \,{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}} \left(1225 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{2}}+210 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}+9\right)}{15 \left(-3 x +3\right)}+4 \left(\frac{49 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{2}}}{9}+\frac{28 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{5}+\frac{11}{25}\right) {\mathrm e}^{\frac{1}{5}+\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}} \expIntegralEi \left(1, -\frac{x}{5}+\frac{1}{5}\right)-420 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}} \left(\frac{{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}}}{-45 x +45}-\frac{{\mathrm e}^{\frac{1}{5}+\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}} \expIntegralEi \left(1, -\frac{x}{5}+\frac{1}{5}\right)}{225}\right)-4900 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{2}} \left(\frac{{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}}}{-45 x +45}-\frac{{\mathrm e}^{\frac{1}{5}+\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}} \expIntegralEi \left(1, -\frac{x}{5}+\frac{1}{5}\right)}{225}\right)+4200 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}} \left(\frac{{\mathrm e}^{\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}+\frac{x}{5}} \left(35 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}+3\right)}{-675 x +675}-\left(\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{675}+\frac{2}{375}\right) {\mathrm e}^{\frac{1}{5}+\frac{7 \,{\mathrm e}^{\frac{{\mathrm e}^{6}}{4}}}{3}} \expIntegralEi \left(1, -\frac{x}{5}+\frac{1}{5}\right)\right)$&$476$\\ \hline \end{longtable}"," ",0,"-4*x*exp(7/3*exp(1/4*exp(6))+1/5*x)/(x-1)","A"
3859,1,73,30,0.059000," ","int(((96*x^7-960*x^6+2400*x^5+20*x^2-100*x)*exp(6*x^4)^2+(192*x^7-1440*x^6+2400*x^5+60*x^2-200*x)*exp(6*x^4)+40*x^2-100*x)/((x^4-20*x^3+150*x^2-500*x+625)*exp(6*x^4)^4+(8*x^4-140*x^3+900*x^2-2500*x+2500)*exp(6*x^4)^3+(14*x^4-260*x^3+1700*x^2-4500*x+3750)*exp(6*x^4)^2+(-8*x^4-100*x^3+1300*x^2-3500*x+2500)*exp(6*x^4)+x^4+40*x^3+350*x^2-1000*x+625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x^{2}}{{\mathrm e}^{12 x^{4}} x^{2}-10 \,{\mathrm e}^{12 x^{4}} x +4 \,{\mathrm e}^{6 x^{4}} x^{2}+25 \,{\mathrm e}^{12 x^{4}}-30 \,{\mathrm e}^{6 x^{4}} x -x^{2}+50 \,{\mathrm e}^{6 x^{4}}-20 x +25}$&$73$\\ \hline \end{longtable}"," ",0,"-2*x^2/(exp(12*x^4)*x^2-10*exp(12*x^4)*x+4*exp(6*x^4)*x^2+25*exp(12*x^4)-30*exp(6*x^4)*x-x^2+50*exp(6*x^4)-20*x+25)","B"
3860,1,69,27,0.072000," ","int((((-4*x^3+2*x)*exp(x+42)^3+(-12*x^5+6*x^3)*exp(x+42)^2+(-12*x^7+6*x^5)*exp(x+42)-4*x^9+2*x^7)*exp(x^2)+(-2*x^5+4*x^4)*exp(x+42)^2+(-2*x^7+4*x^6)*exp(x+42))/((exp(x+42)^3+3*x^2*exp(x+42)^2+3*x^4*exp(x+42)+x^6)*exp(x^2)^3+(-3*x^3*exp(x+42)^2-6*x^5*exp(x+42)-3*x^7)*exp(x^2)^2+(3*x^6*exp(x+42)+3*x^8)*exp(x^2)-x^9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{-2 x^{2}}-\frac{\left(x^{3}-2 x^{2} {\mathrm e}^{x^{2}}-2 \,{\mathrm e}^{x^{2}+x +42}\right) x^{5} {\mathrm e}^{-2 x^{2}}}{\left(x^{3}-x^{2} {\mathrm e}^{x^{2}}-{\mathrm e}^{x^{2}+x +42}\right)^{2}}$&$69$\\ \hline \end{longtable}"," ",0,"x^2*exp(-2*x^2)-(x^3-2*x^2*exp(x^2)-2*exp(x^2+x+42))*x^5/(x^3-x^2*exp(x^2)-exp(x^2+x+42))^2*exp(-2*x^2)","B"
3861,1,32,23,0.201000," ","int((((x^2+x)*exp(2)^2-9*x-9)*ln(((-x^3-x^2)*exp(2)^2+9*x^2+9*x)/exp(2)^2)+(23*x^2+22*x)*exp(2)^2-198*x-189)/((20*x^2+20*x)*exp(2)^2-180*x-180),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 x}{5}+\frac{x \ln \left(x \left(-x^{2} {\mathrm e}^{4}-x \,{\mathrm e}^{4}+9 x +9\right)\right)}{20}$&$32$\\ risch&$x +\frac{x \ln \left(\left(\left(-x^{3}-x^{2}\right) {\mathrm e}^{4}+9 x^{2}+9 x \right) {\mathrm e}^{-4}\right)}{20}$&$33$\\ norman&$x +\frac{x \ln \left(\left(\left(-x^{3}-x^{2}\right) {\mathrm e}^{4}+9 x^{2}+9 x \right) {\mathrm e}^{-4}\right)}{20}$&$37$\\ \hline \end{longtable}"," ",0,"4/5*x+1/20*x*ln(x*(-x^2*exp(2)^2-x*exp(2)^2+9*x+9))","A"
3862,1,15,14,0.036000," ","int((144*exp(x)^2+(87*x-1911)*exp(x)+16*x^2-640*x+6340)/(144*exp(x)^2+(96*x-1920)*exp(x)+16*x^2-640*x+6400),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{3 x}{16 \left(-20+3 \,{\mathrm e}^{x}+x \right)}$&$15$\\ norman&$\frac{x^{2}+\frac{951 \,{\mathrm e}^{x}}{16}+3 \,{\mathrm e}^{x} x -\frac{1585}{4}}{-20+3 \,{\mathrm e}^{x}+x}$&$25$\\ \hline \end{longtable}"," ",0,"x+3/16*x/(-20+3*exp(x)+x)","A"
3863,1,35,28,0.102000," ","int(((-2*x^3+48*x^2+32*x-768)*exp(x)*ln(1/3*x-8)+(4*x^4-98*x^3-32*x)*exp(x)-2*x^5+52*x^4-128*x^3+768*x^2)/(x^3-24*x^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(x^{2}+16\right) \ln \left(\frac{x}{3}-8\right)}{x}+2 \left({\mathrm e}^{x} x^{2}+x^{2}+16\right) {\mathrm e}^{-x}$&$35$\\ default&$32 \,{\mathrm e}^{-x}+2 x^{2} {\mathrm e}^{-x}+2 x^{2}+\frac{4 \ln \left(x \right)}{3}-\frac{148 \ln \left(x -24\right)}{3}-6 \left(\frac{x}{3}-8\right) \ln \left(\frac{x}{3}-8\right)-48-\frac{4 \ln \left(\frac{x}{3}\right)}{3}+\frac{4 \ln \left(\frac{x}{3}-8\right) \left(\frac{x}{3}-8\right)}{x}$&$68$\\ \hline \end{longtable}"," ",0,"-2*(x^2+16)/x*ln(1/3*x-8)+2*(exp(x)*x^2+x^2+16)*exp(-x)","A"
3864,1,43,29,0.138000," ","int(((68800*x^3+216000*x^2+388800*x+233280)*ln(2)^3+(37200*x^2+108000*x+97200)*ln(2)^2+(7500*x+13500)*ln(2)+625)/((8000*x^5+43200*x^4+77760*x^3+46656*x^2)*ln(2)^3+(6000*x^4+21600*x^3+19440*x^2)*ln(2)^2+(1500*x^3+2700*x^2)*ln(2)+125*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{72 \ln \left(2\right)}{20 x \ln \left(2\right)+36 \ln \left(2\right)+5}+\frac{1296 \ln \left(2\right)^{2}}{\left(20 x \ln \left(2\right)+36 \ln \left(2\right)+5\right)^{2}}-\frac{5}{x}$&$43$\\ norman&$\frac{-3440 x^{2} \ln \left(2\right)^{2}-\frac{\left(3398400 \ln \left(2\right)^{4}+544000 \ln \left(2\right)^{3}\right) x}{400 \ln \left(2\right)^{2}}-6480 \ln \left(2\right)^{2}-1800 \ln \left(2\right)-125}{x \left(20 x \ln \left(2\right)+36 \ln \left(2\right)+5\right)^{2}}$&$59$\\ gosper&$-\frac{3440 x^{2} \ln \left(2\right)^{2}+8496 x \ln \left(2\right)^{2}+6480 \ln \left(2\right)^{2}+1360 x \ln \left(2\right)+1800 \ln \left(2\right)+125}{x \left(400 x^{2} \ln \left(2\right)^{2}+1440 x \ln \left(2\right)^{2}+1296 \ln \left(2\right)^{2}+200 x \ln \left(2\right)+360 \ln \left(2\right)+25\right)}$&$74$\\ risch&$\frac{-3440 x^{2} \ln \left(2\right)^{2}+400 \left(-\frac{531 \ln \left(2\right)^{2}}{25}-\frac{17 \ln \left(2\right)}{5}\right) x -6480 \ln \left(2\right)^{2}-1800 \ln \left(2\right)-125}{x \left(400 x^{2} \ln \left(2\right)^{2}+1440 x \ln \left(2\right)^{2}+1296 \ln \left(2\right)^{2}+200 x \ln \left(2\right)+360 \ln \left(2\right)+25\right)}$&$75$\\ \hline \end{longtable}"," ",0,"-72*ln(2)/(20*x*ln(2)+36*ln(2)+5)+1296*ln(2)^2/(20*x*ln(2)+36*ln(2)+5)^2-5/x","A"
3865,1,17,18,0.053000," ","int((2*(-exp(4)-exp(3)^2+4)*ln(2)+x*exp(4)+x*exp(3)^2-4*x+1)*exp(x*exp(4)+x*exp(3)^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x -2 \ln \left(2\right)\right) {\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)}$&$17$\\ gosper&$-{\mathrm e}^{x \,{\mathrm e}^{4}+x \,{\mathrm e}^{6}-4 x} \left(2 \ln \left(2\right)-x \right)$&$26$\\ norman&$x \,{\mathrm e}^{x \,{\mathrm e}^{4}+x \,{\mathrm e}^{6}-4 x}-2 \ln \left(2\right) {\mathrm e}^{x \,{\mathrm e}^{4}+x \,{\mathrm e}^{6}-4 x}$&$38$\\ meijerg&$-\frac{2 \ln \left(2\right) {\mathrm e}^{6} \left(1-{\mathrm e}^{-x \left(-{\mathrm e}^{4}-{\mathrm e}^{6}+4\right)}\right)}{-{\mathrm e}^{4}-{\mathrm e}^{6}+4}-\frac{2 \,{\mathrm e}^{4} \ln \left(2\right) \left(1-{\mathrm e}^{-x \left(-{\mathrm e}^{4}-{\mathrm e}^{6}+4\right)}\right)}{-{\mathrm e}^{4}-{\mathrm e}^{6}+4}+\frac{8 \ln \left(2\right) \left(1-{\mathrm e}^{-x \left(-{\mathrm e}^{4}-{\mathrm e}^{6}+4\right)}\right)}{-{\mathrm e}^{4}-{\mathrm e}^{6}+4}+\frac{1-{\mathrm e}^{-x \left(-{\mathrm e}^{4}-{\mathrm e}^{6}+4\right)}}{-{\mathrm e}^{4}-{\mathrm e}^{6}+4}+\frac{\left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right) \left(1-\frac{\left(2+2 x \left(-{\mathrm e}^{4}-{\mathrm e}^{6}+4\right)\right) {\mathrm e}^{-x \left(-{\mathrm e}^{4}-{\mathrm e}^{6}+4\right)}}{2}\right)}{\left(-{\mathrm e}^{4}-{\mathrm e}^{6}+4\right)^{2}}$&$191$\\ derivativedivides&$\frac{\frac{{\mathrm e}^{6} \left({\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)} x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)-{\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)}\right)}{{\mathrm e}^{4}+{\mathrm e}^{6}-4}+\frac{{\mathrm e}^{4} \left({\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)} x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)-{\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)}\right)}{{\mathrm e}^{4}+{\mathrm e}^{6}-4}+8 \,{\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)} \ln \left(2\right)-\frac{4 \left({\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)} x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)-{\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)}\right)}{{\mathrm e}^{4}+{\mathrm e}^{6}-4}-2 \,{\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)} {\mathrm e}^{4} \ln \left(2\right)-2 \,{\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)} \ln \left(2\right) {\mathrm e}^{6}+{\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)}}{{\mathrm e}^{4}+{\mathrm e}^{6}-4}$&$220$\\ default&$\frac{\frac{{\mathrm e}^{6} \left({\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)} x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)-{\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)}\right)}{{\mathrm e}^{4}+{\mathrm e}^{6}-4}+\frac{{\mathrm e}^{4} \left({\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)} x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)-{\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)}\right)}{{\mathrm e}^{4}+{\mathrm e}^{6}-4}+8 \,{\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)} \ln \left(2\right)-\frac{4 \left({\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)} x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)-{\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)}\right)}{{\mathrm e}^{4}+{\mathrm e}^{6}-4}-2 \,{\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)} {\mathrm e}^{4} \ln \left(2\right)-2 \,{\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)} \ln \left(2\right) {\mathrm e}^{6}+{\mathrm e}^{x \left({\mathrm e}^{4}+{\mathrm e}^{6}-4\right)}}{{\mathrm e}^{4}+{\mathrm e}^{6}-4}$&$220$\\ \hline \end{longtable}"," ",0,"(x-2*ln(2))*exp(x*(exp(4)+exp(6)-4))","A"
3866,1,45,21,0.246000," ","int(((-1250*exp(4)^2+(1250*x+2100)*exp(4)-1250*x^2-1050*x-882)*exp(-25*x/(25*exp(4)-25*x-21))^2+(-7500*exp(4)^2+(11250*x+12600)*exp(4)-7500*x^2-9450*x-5292)*exp(-25*x/(25*exp(4)-25*x-21))-11250*exp(4)^2+(22500*x+18900)*exp(4)-11250*x^2-18900*x-7938)/(5625*x^3*exp(4)^2+(-11250*x^4-9450*x^3)*exp(4)+5625*x^5+9450*x^4+3969*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x^{2}}+\frac{{\mathrm e}^{-\frac{50 x}{25 \,{\mathrm e}^{4}-25 x -21}}}{9 x^{2}}+\frac{2 \,{\mathrm e}^{-\frac{25 x}{25 \,{\mathrm e}^{4}-25 x -21}}}{3 x^{2}}$&$45$\\ norman&$\frac{\left(\frac{25 \,{\mathrm e}^{4}}{9}-\frac{7}{3}\right) {\mathrm e}^{-\frac{50 x}{25 \,{\mathrm e}^{4}-25 x -21}}+\left(\frac{50 \,{\mathrm e}^{4}}{3}-14\right) {\mathrm e}^{-\frac{25 x}{25 \,{\mathrm e}^{4}-25 x -21}}-25 x -\frac{50 \,{\mathrm e}^{-\frac{25 x}{25 \,{\mathrm e}^{4}-25 x -21}} x}{3}-\frac{25 \,{\mathrm e}^{-\frac{50 x}{25 \,{\mathrm e}^{4}-25 x -21}} x}{9}-21+25 \,{\mathrm e}^{4}}{x^{2} \left(25 \,{\mathrm e}^{4}-25 x -21\right)}$&$109$\\ derivativedivides&$-\frac{\left(25 \,{\mathrm e}^{4}-21\right) \left(-\frac{13781250 \left(-\frac{1}{1+\frac{25 \,{\mathrm e}^{4}-21}{-25 \,{\mathrm e}^{4}+25 x +21}}+\frac{1}{2 \left(1+\frac{25 \,{\mathrm e}^{4}-21}{-25 \,{\mathrm e}^{4}+25 x +21}\right)^{2}}\right)}{9765625 \,{\mathrm e}^{20}-41015625 \,{\mathrm e}^{16}+68906250 \,{\mathrm e}^{12}-57881250 \,{\mathrm e}^{8}+24310125 \,{\mathrm e}^{4}-4084101}+\frac{32812500 \,{\mathrm e}^{4} \left(-\frac{1}{1+\frac{25 \,{\mathrm e}^{4}-21}{-25 \,{\mathrm e}^{4}+25 x +21}}+\frac{1}{2 \left(1+\frac{25 \,{\mathrm e}^{4}-21}{-25 \,{\mathrm e}^{4}+25 x +21}\right)^{2}}\right)}{9765625 \,{\mathrm e}^{20}-41015625 \,{\mathrm e}^{16}+68906250 \,{\mathrm e}^{12}-57881250 \,{\mathrm e}^{8}+24310125 \,{\mathrm e}^{4}-4084101}-\frac{19531250 \,{\mathrm e}^{8} \left(-\frac{1}{1+\frac{25 \,{\mathrm e}^{4}-21}{-25 \,{\mathrm e}^{4}+25 x +21}}+\frac{1}{2 \left(1+\frac{25 \,{\mathrm e}^{4}-21}{-25 \,{\mathrm e}^{4}+25 x +21}\right)^{2}}\right)}{9765625 \,{\mathrm e}^{20}-41015625 \,{\mathrm e}^{16}+68906250 \,{\mathrm e}^{12}-57881250 \,{\mathrm e}^{8}+24310125 \,{\mathrm e}^{4}-4084101}\right)}{25}$&$265$\\ default&$-\frac{\left(25 \,{\mathrm e}^{4}-21\right) \left(-\frac{13781250 \left(-\frac{1}{1+\frac{25 \,{\mathrm e}^{4}-21}{-25 \,{\mathrm e}^{4}+25 x +21}}+\frac{1}{2 \left(1+\frac{25 \,{\mathrm e}^{4}-21}{-25 \,{\mathrm e}^{4}+25 x +21}\right)^{2}}\right)}{9765625 \,{\mathrm e}^{20}-41015625 \,{\mathrm e}^{16}+68906250 \,{\mathrm e}^{12}-57881250 \,{\mathrm e}^{8}+24310125 \,{\mathrm e}^{4}-4084101}+\frac{32812500 \,{\mathrm e}^{4} \left(-\frac{1}{1+\frac{25 \,{\mathrm e}^{4}-21}{-25 \,{\mathrm e}^{4}+25 x +21}}+\frac{1}{2 \left(1+\frac{25 \,{\mathrm e}^{4}-21}{-25 \,{\mathrm e}^{4}+25 x +21}\right)^{2}}\right)}{9765625 \,{\mathrm e}^{20}-41015625 \,{\mathrm e}^{16}+68906250 \,{\mathrm e}^{12}-57881250 \,{\mathrm e}^{8}+24310125 \,{\mathrm e}^{4}-4084101}-\frac{19531250 \,{\mathrm e}^{8} \left(-\frac{1}{1+\frac{25 \,{\mathrm e}^{4}-21}{-25 \,{\mathrm e}^{4}+25 x +21}}+\frac{1}{2 \left(1+\frac{25 \,{\mathrm e}^{4}-21}{-25 \,{\mathrm e}^{4}+25 x +21}\right)^{2}}\right)}{9765625 \,{\mathrm e}^{20}-41015625 \,{\mathrm e}^{16}+68906250 \,{\mathrm e}^{12}-57881250 \,{\mathrm e}^{8}+24310125 \,{\mathrm e}^{4}-4084101}\right)}{25}$&$265$\\ \hline \end{longtable}"," ",0,"1/x^2+1/9/x^2*exp(-50*x/(25*exp(4)-25*x-21))+2/3/x^2*exp(-25*x/(25*exp(4)-25*x-21))","B"
3867,1,20,22,0.181000," ","int((((-12*x+4)*ln(x^2)+3*x)*exp(ln(x^2)^2)+7*x)/(3*x*exp(ln(x^2)^2)^2+(6*x^2+12*x)*exp(ln(x^2)^2)+3*x^3+12*x^2+12*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x -1}{3 \,{\mathrm e}^{\ln \left(x^{2}\right)^{2}}+6+3 x}$&$20$\\ \hline \end{longtable}"," ",0,"1/3*(3*x-1)/(2+exp(ln(x^2)^2)+x)","A"
3868,1,25,23,0.036000," ","int((x^2*exp(x)*exp(exp(x))+(-64*x^2+128*x-128)*exp(3+x)-x^2-4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{x}-x -\frac{64 \left(x -2\right) {\mathrm e}^{3+x}}{x}+{\mathrm e}^{{\mathrm e}^{x}}$&$25$\\ norman&$\frac{4+x \,{\mathrm e}^{{\mathrm e}^{x}}-x^{2}+128 \,{\mathrm e}^{x} {\mathrm e}^{3}-64 x \,{\mathrm e}^{3} {\mathrm e}^{x}}{x}$&$30$\\ default&${\mathrm e}^{{\mathrm e}^{x}}-x +\frac{4}{x}-64 \,{\mathrm e}^{x} {\mathrm e}^{3}-128 \,{\mathrm e}^{3} \left(-\frac{{\mathrm e}^{x}}{x}-\expIntegralEi \left(1, -x \right)\right)-128 \,{\mathrm e}^{3} \expIntegralEi \left(1, -x \right)$&$47$\\ \hline \end{longtable}"," ",0,"4/x-x-64*(x-2)/x*exp(3+x)+exp(exp(x))","A"
3869,1,28,20,0.103000," ","int(((12*x-3)*ln(12*x-3)^2+((-160*x+40)*exp(x)^2+(-160*x^2-120*x+40)*exp(x)-160*x^2+40*x)*ln(12*x-3)+80*exp(x)^2+160*exp(x)*x+80*x^2)/(8*x-2)/ln(12*x-3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x}{2}-\frac{10 \left({\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x +x^{2}\right)}{\ln \left(12 x -3\right)}$&$28$\\ default&$\frac{3 x}{2}-\frac{10 \,{\mathrm e}^{2 x}}{\ln \left(12 x -3\right)}-\frac{20 \,{\mathrm e}^{x} x}{\ln \left(12 x -3\right)}-\frac{5 \left(12 x -3\right)^{2}}{72 \ln \left(12 x -3\right)}-\frac{5 \left(12 x -3\right)}{12 \ln \left(12 x -3\right)}-\frac{5}{8 \ln \left(12 x -3\right)}$&$74$\\ \hline \end{longtable}"," ",0,"3/2*x-10*(exp(2*x)+2*exp(x)*x+x^2)/ln(12*x-3)","A"
3870,1,34,19,0.041000," ","int(((-3*x*ln(3*x)-15*x)*ln(5+ln(3*x))+(-9*x^3+6*x^2+24*x)*ln(3*x)-45*x^3+30*x^2+117*x+3)/(x*ln(3*x)+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 \ln \left(5+\ln \left(3 x \right)\right) x -3 x^{3}+3 x^{2}+24 x +3 \ln \left(5+\ln \left(3 x \right)\right)$&$34$\\ \hline \end{longtable}"," ",0,"-3*ln(5+ln(3*x))*x-3*x^3+3*x^2+24*x+3*ln(5+ln(3*x))","A"
3871,1,162,31,0.127000," ","int(((16*x^2-160*x+323)*ln(5)*exp(ln(5)/x)*ln(-16*x^3+160*x^2-323*x)+(-48*x^3+320*x^2-323*x)*exp(ln(5)/x)+80*x^3-480*x^2+323*x)*exp((-exp(ln(5)/x)+2)*ln(-16*x^3+160*x^2-323*x))/(16*x^5-160*x^4+323*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{\left(5^{\frac{1}{x}}-2\right) \left(i \pi  \mathrm{csgn}\left(i x \left(x^{2}-10 x +\frac{323}{16}\right)\right)^{3}+i \pi  \mathrm{csgn}\left(i x \left(x^{2}-10 x +\frac{323}{16}\right)\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \mathrm{csgn}\left(i x \left(x^{2}-10 x +\frac{323}{16}\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}-10 x +\frac{323}{16}\right)\right)-i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}-10 x +\frac{323}{16}\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x^{2}-10 x +\frac{323}{16}\right)\right)-2 i \pi  \mathrm{csgn}\left(i x \left(x^{2}-10 x +\frac{323}{16}\right)\right)^{2}+2 i \pi +2 \ln \left(x \right)+2 \ln \left(x^{2}-10 x +\frac{323}{16}\right)\right)}{2}}}{x}$&$162$\\ \hline \end{longtable}"," ",0,"1/x*exp(-1/2*(5^(1/x)-2)*(I*Pi*csgn(I*x*(x^2-10*x+323/16))^3+I*Pi*csgn(I*x*(x^2-10*x+323/16))^2*csgn(I*x)+I*Pi*csgn(I*x*(x^2-10*x+323/16))^2*csgn(I*(x^2-10*x+323/16))-I*Pi*csgn(I*x*(x^2-10*x+323/16))*csgn(I*x)*csgn(I*(x^2-10*x+323/16))-2*I*Pi*csgn(I*x*(x^2-10*x+323/16))^2+2*I*Pi+2*ln(x)+2*ln(x^2-10*x+323/16)))","C"
3872,1,43,30,0.673000," ","int(((-2*x^4-12*x^3-12*x^2+24*x-12)*ln(exp(x)^2*x^2)+(-2*x^5-14*x^4-20*x^3+22*x^2+18*x-12)*ln((-x^3-3*x^2+3*x)/(x^2+3*x-2)))/(x^5+6*x^4+4*x^3-15*x^2+6*x)/ln((-x^3-3*x^2+3*x)/(x^2+3*x-2))/ln(exp(x)^2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(\ln \left({\mathrm e}^{2 x} x^{2}\right)\right)-2 \ln \left(\ln \left(\frac{-x^{3}-3 x^{2}+3 x}{x^{2}+3 x -2}\right)\right)$&$43$\\ risch&$-2 \ln \left(\ln \left(x^{2}+3 x -2\right)+\frac{i \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(x^{2}+3 x -3\right)}{x^{2}+3 x -2}\right) \mathrm{csgn}\left(\frac{i x \left(x^{2}+3 x -3\right)}{x^{2}+3 x -2}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(x^{2}+3 x -3\right)}{x^{2}+3 x -2}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i x \left(x^{2}+3 x -3\right)}{x^{2}+3 x -2}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(x^{2}+3 x -3\right)\right) \mathrm{csgn}\left(\frac{i}{x^{2}+3 x -2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+3 x -3\right)}{x^{2}+3 x -2}\right)-\pi  \,\mathrm{csgn}\left(i \left(x^{2}+3 x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+3 x -3\right)}{x^{2}+3 x -2}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}+3 x -2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+3 x -3\right)}{x^{2}+3 x -2}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+3 x -3\right)}{x^{2}+3 x -2}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i \left(x^{2}+3 x -3\right)}{x^{2}+3 x -2}\right) \mathrm{csgn}\left(\frac{i x \left(x^{2}+3 x -3\right)}{x^{2}+3 x -2}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i x \left(x^{2}+3 x -3\right)}{x^{2}+3 x -2}\right)^{3}+2 i \ln \left(x \right)+2 i \ln \left(x^{2}+3 x -3\right)-2 \pi \right)}{2}\right)-\ln \left(\ln \left({\mathrm e}^{x}\right)-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-2 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)^{3}+4 i \ln \left(x \right)\right)}{4}\right)$&$585$\\ \hline \end{longtable}"," ",0,"-ln(ln(exp(x)^2*x^2))-2*ln(ln((-x^3-3*x^2+3*x)/(x^2+3*x-2)))","A"
3873,1,31,28,0.122000," ","int((((-ln(x)^2+(exp(5)-1)*ln(x)+exp(5))*ln(ln(x)-exp(5))-2*ln(x)^2+(2*exp(5)-2)*ln(x)+2*exp(5))*ln(ln(ln(x)-exp(5))+2)+((-3*x*exp(3*x)+1)*ln(x)^2+(3*x*exp(5)*exp(3*x)+1-exp(5))*ln(x)-exp(5))*exp(exp(3*x))*ln(ln(x)-exp(5))+((-6*x*exp(3*x)+2)*ln(x)^2+(6*x*exp(5)*exp(3*x)-2*exp(5)+2)*ln(x)-2*exp(5))*exp(exp(3*x))+ln(x))/(((x*ln(x)^2-x*exp(5)*ln(x))*ln(ln(x)-exp(5))+2*x*ln(x)^2-2*x*exp(5)*ln(x))*ln(ln(ln(x)-exp(5))+2)+(-x*ln(x)^2+x*exp(5)*ln(x))*exp(exp(3*x))*ln(ln(x)-exp(5))+(-2*x*ln(x)^2+2*x*exp(5)*ln(x))*exp(exp(3*x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)-\ln \left(\ln \left(x \right)\right)+\ln \left(\ln \left(\ln \left(\ln \left(x \right)-{\mathrm e}^{5}\right)+2\right)-{\mathrm e}^{{\mathrm e}^{3 x}}\right)$&$31$\\ \hline \end{longtable}"," ",0,"-ln(x)-ln(ln(x))+ln(ln(ln(ln(x)-exp(5))+2)-exp(exp(3*x)))","A"
3874,1,13,15,0.023000," ","int(((-4*x*ln(2)+4*x)*exp(x)+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-4 \ln \left(2\right)+4\right) {\mathrm e}^{x}+\ln \left(x \right)$&$13$\\ default&$\ln \left(x \right)-4 \,{\mathrm e}^{x} \ln \left(2\right)+4 \,{\mathrm e}^{x}$&$14$\\ risch&$\ln \left(x \right)-4 \,{\mathrm e}^{x} \ln \left(2\right)+4 \,{\mathrm e}^{x}$&$14$\\ \hline \end{longtable}"," ",0,"(-4*ln(2)+4)*exp(x)+ln(x)","A"
3875,1,19,20,0.101000," ","int((2*x*exp(1)+16*x-4)*exp(4)*exp(5)*exp(4/(x*exp(1)+8*x))/(exp(1)+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{9+\frac{4}{\left({\mathrm e}+8\right) x}} x^{2}$&$19$\\ norman&$x^{2} {\mathrm e}^{4} {\mathrm e}^{5} {\mathrm e}^{\frac{4}{x \,{\mathrm e}+8 x}}$&$22$\\ risch&$x^{2} {\mathrm e}^{\frac{9 x \,{\mathrm e}+72 x +4}{x \left({\mathrm e}+8\right)}}$&$26$\\ derivativedivides&$-\frac{16 \,{\mathrm e}^{4} {\mathrm e}^{5} \left(\frac{x \left({\mathrm e}+8\right) {\mathrm e}^{\frac{4}{\left({\mathrm e}+8\right) x}}}{4}+\expIntegralEi \left(1, -\frac{4}{\left({\mathrm e}+8\right) x}\right)+\frac{-\frac{{\mathrm e}^{\frac{4}{\left({\mathrm e}+8\right) x}} x^{2} \left({\mathrm e}+8\right)^{2}}{2}-2 x \left({\mathrm e}+8\right) {\mathrm e}^{\frac{4}{\left({\mathrm e}+8\right) x}}-8 \expIntegralEi \left(1, -\frac{4}{\left({\mathrm e}+8\right) x}\right)}{{\mathrm e}+8}+\frac{2 \,{\mathrm e} \left(-\frac{{\mathrm e}^{\frac{4}{\left({\mathrm e}+8\right) x}} x^{2} \left({\mathrm e}+8\right)^{2}}{32}-\frac{x \left({\mathrm e}+8\right) {\mathrm e}^{\frac{4}{\left({\mathrm e}+8\right) x}}}{8}-\frac{\expIntegralEi \left(1, -\frac{4}{\left({\mathrm e}+8\right) x}\right)}{2}\right)}{{\mathrm e}+8}\right)}{\left({\mathrm e}+8\right)^{2}}$&$180$\\ default&$-\frac{16 \,{\mathrm e}^{4} {\mathrm e}^{5} \left(\frac{x \left({\mathrm e}+8\right) {\mathrm e}^{\frac{4}{\left({\mathrm e}+8\right) x}}}{4}+\expIntegralEi \left(1, -\frac{4}{\left({\mathrm e}+8\right) x}\right)+\frac{-\frac{{\mathrm e}^{\frac{4}{\left({\mathrm e}+8\right) x}} x^{2} \left({\mathrm e}+8\right)^{2}}{2}-2 x \left({\mathrm e}+8\right) {\mathrm e}^{\frac{4}{\left({\mathrm e}+8\right) x}}-8 \expIntegralEi \left(1, -\frac{4}{\left({\mathrm e}+8\right) x}\right)}{{\mathrm e}+8}+\frac{2 \,{\mathrm e} \left(-\frac{{\mathrm e}^{\frac{4}{\left({\mathrm e}+8\right) x}} x^{2} \left({\mathrm e}+8\right)^{2}}{32}-\frac{x \left({\mathrm e}+8\right) {\mathrm e}^{\frac{4}{\left({\mathrm e}+8\right) x}}}{8}-\frac{\expIntegralEi \left(1, -\frac{4}{\left({\mathrm e}+8\right) x}\right)}{2}\right)}{{\mathrm e}+8}\right)}{\left({\mathrm e}+8\right)^{2}}$&$180$\\ \hline \end{longtable}"," ",0,"exp(9+4/(exp(1)+8)/x)*x^2","A"
3876,1,31,37,0.542000," ","int((2*(2*x^3+x^2-2*x-1)*ln(2)-4*x^3-2*x^2+4*x+2)/((x^3+x^2-x)*ln((-6*x^2-6*x+6)/x)^2+(-4*x^4-4*x^3+4*x^2)*ln((-6*x^2-6*x+6)/x)+4*x^5+4*x^4-4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2-2 \ln \left(2\right)}{2 x -\ln \left(\frac{-6 x^{2}-6 x +6}{x}\right)}$&$31$\\ default&$\frac{2 \ln \left(2\right)}{\ln \left(6\right)-2 x +\ln \left(-\frac{x^{2}+x -1}{x}\right)}-\frac{2}{\ln \left(6\right)-2 x +\ln \left(-\frac{x^{2}+x -1}{x}\right)}$&$48$\\ risch&$-\frac{2 \ln \left(2\right)}{2 x -\ln \left(\frac{-6 x^{2}-6 x +6}{x}\right)}+\frac{2}{2 x -\ln \left(\frac{-6 x^{2}-6 x +6}{x}\right)}$&$54$\\ \hline \end{longtable}"," ",0,"(2-2*ln(2))/(2*x-ln((-6*x^2-6*x+6)/x))","A"
3877,1,17,15,0.023000," ","int((x^2*ln(2)-2*x^3+x^2-96)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+x +x \ln \left(2\right)+\frac{96}{x}$&$17$\\ risch&$-x^{2}+x +x \ln \left(2\right)+\frac{96}{x}$&$17$\\ norman&$\frac{-x^{3}+\left(1+\ln \left(2\right)\right) x^{2}+96}{x}$&$20$\\ gosper&$\frac{x^{2} \ln \left(2\right)-x^{3}+x^{2}+96}{x}$&$21$\\ \hline \end{longtable}"," ",0,"-x^2+x+x*ln(2)+96/x","A"
3878,0,0,22,0.038000," ","int((((2*x^2+8)*ln(x^2+4)^2+4*x^2+16)*ln(ln(x^2+4)^2+2)+8*x^2*ln(x^2+4))*exp(1/2*ln(-12*x*ln(ln(x^2+4)^2+2)+15)-5)/(((4*x^3+16*x)*ln(x^2+4)^2+8*x^3+32*x)*ln(ln(x^2+4)^2+2)+(-5*x^2-20)*ln(x^2+4)^2-10*x^2-40),x)","\[\int \frac{\left(\left(\left(2 x^{2}+8\right) \ln \left(x^{2}+4\right)^{2}+4 x^{2}+16\right) \ln \left(\ln \left(x^{2}+4\right)^{2}+2\right)+8 x^{2} \ln \left(x^{2}+4\right)\right) {\mathrm e}^{\frac{\ln \left(-12 x \ln \left(\ln \left(x^{2}+4\right)^{2}+2\right)+15\right)}{2}-5}}{\left(\left(4 x^{3}+16 x \right) \ln \left(x^{2}+4\right)^{2}+8 x^{3}+32 x \right) \ln \left(\ln \left(x^{2}+4\right)^{2}+2\right)+\left(-5 x^{2}-20\right) \ln \left(x^{2}+4\right)^{2}-10 x^{2}-40}\, dx\]"," ",0,"int((((2*x^2+8)*ln(x^2+4)^2+4*x^2+16)*ln(ln(x^2+4)^2+2)+8*x^2*ln(x^2+4))*exp(1/2*ln(-12*x*ln(ln(x^2+4)^2+2)+15)-5)/(((4*x^3+16*x)*ln(x^2+4)^2+8*x^3+32*x)*ln(ln(x^2+4)^2+2)+(-5*x^2-20)*ln(x^2+4)^2-10*x^2-40),x)","F"
3879,1,140,26,0.126000," ","int((2*x^5*ln(x)*ln(exp(x^4)*ln(x))^2+(-4*x^5+x^4+40*x^3)*ln(x)*ln(exp(x^4)*ln(x))+(-4*x^8+2*x^5-x^4-40*x^3+30*x^2+200*x)*ln(x)-x^4)/(3*x^4*ln(x)*ln(exp(x^4)*ln(x))^2+(-6*x^4+60*x^2)*ln(x)*ln(exp(x^4)*ln(x))+(3*x^4-60*x^2+300)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{3}+\frac{2 i x^{3}}{3 \left(\pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{x^{4}}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x^{4}} \ln \left(x \right)\right)-\pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{x^{4}}\right) \mathrm{csgn}\left(i {\mathrm e}^{x^{4}} \ln \left(x \right)\right)^{2}-\pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x^{4}} \ln \left(x \right)\right)^{2}+\pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{x^{4}} \ln \left(x \right)\right)^{3}+2 i x^{2} \ln \left(\ln \left(x \right)\right)+2 i x^{2} \ln \left({\mathrm e}^{x^{4}}\right)-2 i x^{2}+20 i\right)}$&$140$\\ \hline \end{longtable}"," ",0,"1/3*x^2+2/3*I*x^3/(Pi*x^2*csgn(I*exp(x^4))*csgn(I*ln(x))*csgn(I*exp(x^4)*ln(x))-Pi*x^2*csgn(I*exp(x^4))*csgn(I*exp(x^4)*ln(x))^2-Pi*x^2*csgn(I*ln(x))*csgn(I*exp(x^4)*ln(x))^2+Pi*x^2*csgn(I*exp(x^4)*ln(x))^3+2*I*x^2*ln(ln(x))+2*I*x^2*ln(exp(x^4))-2*I*x^2+20*I)","C"
3880,1,29,28,0.129000," ","int((((2*(5*x^4-5*x^3+25*x^2)*ln(2)+x^4-x^3+8*x^2-3*x+15)*ln(-10*x^2*ln(2)-x^2-3)+2*(-10*x^4+10*x^3-50*x^2)*ln(2)-2*x^4+2*x^3-10*x^2)*ln(x^2-x+5)+(2*(10*x^4-5*x^3)*ln(2)+2*x^4-x^3+6*x^2-3*x)*ln(-10*x^2*ln(2)-x^2-3))/(2*(5*x^4-5*x^3+25*x^2)*ln(2)+x^4-x^3+8*x^2-3*x+15)/ln(-10*x^2*ln(2)-x^2-3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(x^{2}-x +5\right)}{\ln \left(-10 x^{2} \ln \left(2\right)-x^{2}-3\right)}$&$29$\\ \hline \end{longtable}"," ",0,"x*ln(x^2-x+5)/ln(-10*x^2*ln(2)-x^2-3)","A"
3881,1,10,11,0.161000," ","int(-1/(x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-\ln \left(x -1\right)$&$10$\\ norman&$\ln \left(x \right)-\ln \left(x -1\right)$&$10$\\ risch&$\ln \left(x \right)-\ln \left(x -1\right)$&$10$\\ meijerg&$-\ln \left(1-x \right)+\ln \left(x \right)+i \pi$&$16$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(x-1)","A"
3882,1,22,22,0.180000," ","int((4*exp(5)-67)/((4*x^2-8*x+4)*exp(5)-17*x^2+34*x-17),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{4 \,{\mathrm e}^{5}-67}{\left(4 \,{\mathrm e}^{5}-17\right) \left(x -1\right)}$&$22$\\ norman&$-\frac{4 \,{\mathrm e}^{5}-67}{\left(4 \,{\mathrm e}^{5}-17\right) \left(x -1\right)}$&$22$\\ gosper&$-\frac{4 \,{\mathrm e}^{5}-67}{4 x \,{\mathrm e}^{5}-4 \,{\mathrm e}^{5}-17 x +17}$&$25$\\ risch&$-\frac{{\mathrm e}^{5}}{x \,{\mathrm e}^{5}-{\mathrm e}^{5}-\frac{17 x}{4}+\frac{17}{4}}+\frac{67}{4 \left(x \,{\mathrm e}^{5}-{\mathrm e}^{5}-\frac{17 x}{4}+\frac{17}{4}\right)}$&$38$\\ meijerg&$\frac{4 \,{\mathrm e}^{5} x}{\left(4 \,{\mathrm e}^{5}-17\right) \left(1-x \right)}-\frac{67 x}{\left(4 \,{\mathrm e}^{5}-17\right) \left(1-x \right)}$&$40$\\ \hline \end{longtable}"," ",0,"-(4*exp(5)-67)/(4*exp(5)-17)/(x-1)","A"
3883,1,50,37,0.243000," ","int(((x^3-2*x^2+x)*exp(1)^2*exp((4*x+1)/(x-1))+(16*x^2-112*x+16)*exp(1)^2+(16*x^5+8*x^4+16*x^3+40*x^2)*exp(1)-5*x^8+5*x^7-11*x^6+2*x^5-7*x^4-3*x^3-x^2)/(x^4-2*x^3+x^2)/exp(1)^2/exp((4*x+1)/(x-1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-\frac{\left(x^{6}-8 x^{3} {\mathrm e}+2 x^{4}+16 \,{\mathrm e}^{2}-8 x \,{\mathrm e}+x^{2}\right) {\mathrm e}^{-\frac{6 x -1}{x -1}}}{x}$&$50$\\ norman&$\frac{\left(\left(-16 \,{\mathrm e}-8\right) x +{\mathrm e}^{-1} x^{6}+\left(1+8 \,{\mathrm e}\right) {\mathrm e}^{-1} x^{2}-2 \,{\mathrm e}^{-1} x^{5}-{\mathrm e}^{-1} x^{7}-\left(1+8 \,{\mathrm e}\right) {\mathrm e}^{-1} x^{3}+2 \left(4 \,{\mathrm e}+1\right) {\mathrm e}^{-1} x^{4}+16 \,{\mathrm e}\right) {\mathrm e}^{-1} {\mathrm e}^{-\frac{4 x +1}{x -1}}}{x \left(x -1\right)}+\ln \left(x \right)$&$114$\\ default&${\mathrm e}^{-2} \left({\mathrm e}^{2} \ln \left(5+\frac{5}{x -1}\right)-{\mathrm e}^{2} \ln \left(\frac{5}{x -1}\right)-4 \,{\mathrm e}^{-4-\frac{5}{x -1}}+\frac{920 \,{\mathrm e}^{-4-\frac{5}{x -1}}}{5+\frac{5}{x -1}}-\frac{{\mathrm e}^{-4-\frac{5}{x -1}} \left(353 \left(4+\frac{5}{x -1}\right)^{5}-5640 \left(4+\frac{5}{x -1}\right)^{4}+32685 \left(4+\frac{5}{x -1}\right)^{3}-75200 \left(4+\frac{5}{x -1}\right)^{2}+198728+\frac{109850}{x -1}\right) \left(x -1\right)^{5}}{1000 \left(5+\frac{5}{x -1}\right)}+\frac{175 \,{\mathrm e}^{-4-\frac{5}{x -1}} \left(\left(4+\frac{5}{x -1}\right)^{4}-12 \left(4+\frac{5}{x -1}\right)^{3}+45 \left(4+\frac{5}{x -1}\right)^{2}-214-\frac{180}{x -1}\right) \left(x -1\right)^{4}}{24 \left(5+\frac{5}{x -1}\right)}-\frac{58 \,{\mathrm e}^{-4-\frac{5}{x -1}} \left(79 \left(4+\frac{5}{x -1}\right)^{3}-638 \left(4+\frac{5}{x -1}\right)^{2}+5402+\frac{5435}{x -1}\right) \left(x -1\right)^{3}}{75 \left(5+\frac{5}{x -1}\right)}+\frac{239 \,{\mathrm e}^{-4-\frac{5}{x -1}} \left(11 \left(4+\frac{5}{x -1}\right)^{2}-201-\frac{240}{x -1}\right) \left(x -1\right)^{2}}{10 \left(5+\frac{5}{x -1}\right)}-\frac{337 \,{\mathrm e}^{-4-\frac{5}{x -1}} \left(5+\frac{10}{x -1}\right) \left(x -1\right)}{5+\frac{5}{x -1}}-400 \,{\mathrm e} \left(-\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{25}-\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{5+\frac{5}{x -1}}+\frac{7 \,{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{5}\right)+400 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{25}-\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{5+\frac{5}{x -1}}+\frac{7 \,{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{5}\right)-250000 \,{\mathrm e} \left(\frac{{\mathrm e}^{-4-\frac{5}{x -1}} \left(11 \left(4+\frac{5}{x -1}\right)^{2}-201-\frac{240}{x -1}\right) \left(x -1\right)^{2}}{781250+\frac{781250}{x -1}}-\frac{2 \,{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{15625}-\frac{51 \,{\mathrm e}^{-4} \expIntegralEi \left(1, \frac{5}{x -1}\right)}{31250}\right)-275000 \,{\mathrm e} \left(-\frac{{\mathrm e}^{-4-\frac{5}{x -1}} \left(5+\frac{10}{x -1}\right) \left(x -1\right)}{3125 \left(5+\frac{5}{x -1}\right)}+\frac{3 \,{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{3125}+\frac{7 \,{\mathrm e}^{-4} \expIntegralEi \left(1, \frac{5}{x -1}\right)}{3125}\right)-130000 \,{\mathrm e} \left(\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{625+\frac{625}{x -1}}-\frac{4 \,{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{625}-\frac{{\mathrm e}^{-4} \expIntegralEi \left(1, \frac{5}{x -1}\right)}{625}\right)-37000 \,{\mathrm e} \left(-\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{25 \left(5+\frac{5}{x -1}\right)}+\frac{{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{25}\right)-6000 \,{\mathrm e} \left(\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{25+\frac{25}{x -1}}-\frac{6 \,{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{25}\right)-2000 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{25 \left(5+\frac{5}{x -1}\right)}+\frac{{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{25}\right)+2000 \,{\mathrm e}^{2} \left(\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{25+\frac{25}{x -1}}-\frac{6 \,{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{25}\right)\right)$&$877$\\ derivativedivides&$-{\mathrm e}^{-2} \left(-{\mathrm e}^{2} \ln \left(5+\frac{5}{x -1}\right)+{\mathrm e}^{2} \ln \left(\frac{5}{x -1}\right)+4 \,{\mathrm e}^{-4-\frac{5}{x -1}}-\frac{920 \,{\mathrm e}^{-4-\frac{5}{x -1}}}{5+\frac{5}{x -1}}+\frac{{\mathrm e}^{-4-\frac{5}{x -1}} \left(353 \left(4+\frac{5}{x -1}\right)^{5}-5640 \left(4+\frac{5}{x -1}\right)^{4}+32685 \left(4+\frac{5}{x -1}\right)^{3}-75200 \left(4+\frac{5}{x -1}\right)^{2}+198728+\frac{109850}{x -1}\right) \left(x -1\right)^{5}}{5000+\frac{5000}{x -1}}-\frac{175 \,{\mathrm e}^{-4-\frac{5}{x -1}} \left(\left(4+\frac{5}{x -1}\right)^{4}-12 \left(4+\frac{5}{x -1}\right)^{3}+45 \left(4+\frac{5}{x -1}\right)^{2}-214-\frac{180}{x -1}\right) \left(x -1\right)^{4}}{24 \left(5+\frac{5}{x -1}\right)}+\frac{58 \,{\mathrm e}^{-4-\frac{5}{x -1}} \left(79 \left(4+\frac{5}{x -1}\right)^{3}-638 \left(4+\frac{5}{x -1}\right)^{2}+5402+\frac{5435}{x -1}\right) \left(x -1\right)^{3}}{75 \left(5+\frac{5}{x -1}\right)}-\frac{239 \,{\mathrm e}^{-4-\frac{5}{x -1}} \left(11 \left(4+\frac{5}{x -1}\right)^{2}-201-\frac{240}{x -1}\right) \left(x -1\right)^{2}}{10 \left(5+\frac{5}{x -1}\right)}+\frac{337 \,{\mathrm e}^{-4-\frac{5}{x -1}} \left(5+\frac{10}{x -1}\right) \left(x -1\right)}{5+\frac{5}{x -1}}+400 \,{\mathrm e} \left(-\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{25}-\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{5+\frac{5}{x -1}}+\frac{7 \,{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{5}\right)-400 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{25}-\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{5+\frac{5}{x -1}}+\frac{7 \,{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{5}\right)+250000 \,{\mathrm e} \left(\frac{{\mathrm e}^{-4-\frac{5}{x -1}} \left(11 \left(4+\frac{5}{x -1}\right)^{2}-201-\frac{240}{x -1}\right) \left(x -1\right)^{2}}{781250+\frac{781250}{x -1}}-\frac{2 \,{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{15625}-\frac{51 \,{\mathrm e}^{-4} \expIntegralEi \left(1, \frac{5}{x -1}\right)}{31250}\right)+275000 \,{\mathrm e} \left(-\frac{{\mathrm e}^{-4-\frac{5}{x -1}} \left(5+\frac{10}{x -1}\right) \left(x -1\right)}{3125 \left(5+\frac{5}{x -1}\right)}+\frac{3 \,{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{3125}+\frac{7 \,{\mathrm e}^{-4} \expIntegralEi \left(1, \frac{5}{x -1}\right)}{3125}\right)+130000 \,{\mathrm e} \left(\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{625+\frac{625}{x -1}}-\frac{4 \,{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{625}-\frac{{\mathrm e}^{-4} \expIntegralEi \left(1, \frac{5}{x -1}\right)}{625}\right)+37000 \,{\mathrm e} \left(-\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{25 \left(5+\frac{5}{x -1}\right)}+\frac{{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{25}\right)+6000 \,{\mathrm e} \left(\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{25+\frac{25}{x -1}}-\frac{6 \,{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{25}\right)+2000 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{25 \left(5+\frac{5}{x -1}\right)}+\frac{{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{25}\right)-2000 \,{\mathrm e}^{2} \left(\frac{{\mathrm e}^{-4-\frac{5}{x -1}}}{25+\frac{25}{x -1}}-\frac{6 \,{\mathrm e} \expIntegralEi \left(1, 5+\frac{5}{x -1}\right)}{25}\right)\right)$&$878$\\ \hline \end{longtable}"," ",0,"ln(x)-1/x*(x^6-8*x^3*exp(1)+2*x^4+16*exp(2)-8*x*exp(1)+x^2)*exp(-(6*x-1)/(x-1))","A"
3884,-1,0,24,180.000000," ","int(((-24*x^15-3296*x^14-202080*x^13-7277568*x^12-170311680*x^11-2702966784*x^10-29418848256*x^9-216426086400*x^8-1027570925568*x^7-2834678415360*x^6-3435973836800*x^5-2*x^3-60*x^2-400*x)*exp(x^12+128*x^11+7168*x^10+229376*x^9+4587520*x^8+58720256*x^7+469762048*x^6+2147483648*x^5+4294967296*x^4)-32*x-320)/(x^6*exp(x^12+128*x^11+7168*x^10+229376*x^9+4587520*x^8+58720256*x^7+469762048*x^6+2147483648*x^5+4294967296*x^4)^3-48*x^4*exp(x^12+128*x^11+7168*x^10+229376*x^9+4587520*x^8+58720256*x^7+469762048*x^6+2147483648*x^5+4294967296*x^4)^2+768*x^2*exp(x^12+128*x^11+7168*x^10+229376*x^9+4587520*x^8+58720256*x^7+469762048*x^6+2147483648*x^5+4294967296*x^4)-4096),x,method=_RETURNVERBOSE)","\text{hanged}"," ",0,"int(((-24*x^15-3296*x^14-202080*x^13-7277568*x^12-170311680*x^11-2702966784*x^10-29418848256*x^9-216426086400*x^8-1027570925568*x^7-2834678415360*x^6-3435973836800*x^5-2*x^3-60*x^2-400*x)*exp(x^12+128*x^11+7168*x^10+229376*x^9+4587520*x^8+58720256*x^7+469762048*x^6+2147483648*x^5+4294967296*x^4)-32*x-320)/(x^6*exp(x^12+128*x^11+7168*x^10+229376*x^9+4587520*x^8+58720256*x^7+469762048*x^6+2147483648*x^5+4294967296*x^4)^3-48*x^4*exp(x^12+128*x^11+7168*x^10+229376*x^9+4587520*x^8+58720256*x^7+469762048*x^6+2147483648*x^5+4294967296*x^4)^2+768*x^2*exp(x^12+128*x^11+7168*x^10+229376*x^9+4587520*x^8+58720256*x^7+469762048*x^6+2147483648*x^5+4294967296*x^4)-4096),x,method=_RETURNVERBOSE)","F"
3885,1,34,34,0.152000," ","int(((-64*x+256)*ln(-x^2+8*x)-2*x^3+21*x^2+88*x-512)/(x^2-8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-16 \ln \left(-x^{2}+8 x \right)^{2}-x^{2}+5 x +64 \ln \left(x^{2}-8 x \right)$&$34$\\ norman&$64 \ln \left(-x^{2}+8 x \right)+5 x -x^{2}-16 \ln \left(-x^{2}+8 x \right)^{2}$&$36$\\ default&$-x^{2}+5 x +64 \ln \left(-8+x \right)+64 \ln \left(x \right)-32 \ln \left(-8+x \right) \ln \left(-x^{2}+8 x \right)+32 \ln \left(-8+x \right) \ln \left(\frac{x}{8}\right)+16 \ln \left(-8+x \right)^{2}-32 \ln \left(x \right) \ln \left(-x^{2}+8 x \right)+32 \left(\ln \left(x \right)-\ln \left(\frac{x}{8}\right)\right) \ln \left(-\frac{x}{8}+1\right)+16 \ln \left(x \right)^{2}$&$91$\\ \hline \end{longtable}"," ",0,"-16*ln(-x^2+8*x)^2-x^2+5*x+64*ln(x^2-8*x)","A"
3886,1,22,21,0.246000," ","int(((-6*x+9)*ln(2*x-3)+(-6*x-6)*ln(x+1)+4*(-6*x-6)*ln(2))/((2*x^2-x-3)*ln(x+1)^2+4*(4*x^2-2*x-6)*ln(2)*ln(x+1)+16*(2*x^2-x-3)*ln(2)^2)/ln(2*x-3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{\left(\ln \left(x +1\right)+4 \ln \left(2\right)\right) \ln \left(2 x -3\right)}$&$22$\\ \hline \end{longtable}"," ",0,"3/(ln(x+1)+4*ln(2))/ln(2*x-3)","A"
3887,1,36,21,0.231000," ","int((((-3-x)*ln(1/(5*x+15))-6*x-15)*ln(x)+((x^2+2*x-3)*exp(x-4)+3+x)*ln(1/(5*x+15))+(5*x^2+9*x-15)*exp(x-4)+5*x+15)/(x^3+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(\ln \left(x \right)+{\mathrm e}^{x -4}\right) \ln \left(3+x \right)}{x}-\frac{\left(-10+2 \ln \left(5\right)\right) \left(\ln \left(x \right)+{\mathrm e}^{x -4}\right)}{2 x}$&$36$\\ \hline \end{longtable}"," ",0,"-(ln(x)+exp(x-4))/x*ln(3+x)-1/2*(-10+2*ln(5))*(ln(x)+exp(x-4))/x","A"
3888,1,25,21,0.077000," ","int(1/5*((2*x^2-10*x+1)*ln(3)-2*x^2+10*x-1)*exp(1/5/x/exp(x^2-10*x+25))/x^2/exp(x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(1-\ln \left(3\right)\right) {\mathrm e}^{\frac{{\mathrm e}^{-x^{2}+10 x -25}}{5 x}}$&$25$\\ risch&$-{\mathrm e}^{\frac{{\mathrm e}^{-\left(x -5\right)^{2}}}{5 x}} \ln \left(3\right)+{\mathrm e}^{\frac{{\mathrm e}^{-\left(x -5\right)^{2}}}{5 x}}$&$34$\\ \hline \end{longtable}"," ",0,"(1-ln(3))*exp(1/5/x/exp(x^2-10*x+25))","A"
3889,1,24,23,0.054000," ","int((((x^3-225*x^2)*exp(4)*exp(5+x)+(2*x-450)*exp(4)*exp(2/x))*ln(x-225)-x^2*exp(4)*exp(5+x)+x^2*exp(4)*exp(2/x))*exp(-exp(4)*ln(x-225)/(exp(5+x)-exp(2/x)))/((x^3-225*x^2)*exp(5+x)^2+(-2*x^3+450*x^2)*exp(2/x)*exp(5+x)+(x^3-225*x^2)*exp(2/x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x -225\right)^{-\frac{{\mathrm e}^{4}}{{\mathrm e}^{5+x}-{\mathrm e}^{\frac{2}{x}}}}$&$24$\\ \hline \end{longtable}"," ",0,"(x-225)^(-exp(4)/(exp(5+x)-exp(2/x)))","A"
3890,1,42,25,0.179000," ","int((-2*ln(2*x^4*exp(x)^2/exp(4*exp(x)))-4*exp(x)*x-2*exp(4)+4+x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(2 x^{4} {\mathrm e}^{2 x} {\mathrm e}^{-4 \,{\mathrm e}^{x}}\right)}{x^{2}}+\frac{1}{x}+\frac{2}{x^{2}}+\frac{2 \,{\mathrm e}^{4}-4}{2 x^{2}}$&$42$\\ risch&$-\frac{\ln \left({\mathrm e}^{4 \,{\mathrm e}^{x}}\right)}{x^{2}}+\frac{2 x +2 \,{\mathrm e}^{4}+2 \ln \left(2\right)+8 \ln \left(x \right)+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-4 \,{\mathrm e}^{x}+2 x}\right) \mathrm{csgn}\left(i x^{4} {\mathrm e}^{-4 \,{\mathrm e}^{x}+2 x}\right)^{2}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+2 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-4 \,{\mathrm e}^{x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-4 \,{\mathrm e}^{x}+2 x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-4 \,{\mathrm e}^{x}+2 x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \mathrm{csgn}\left(i x^{4} {\mathrm e}^{-4 \,{\mathrm e}^{x}+2 x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 \ln \left({\mathrm e}^{x}\right)-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}-i \pi  \mathrm{csgn}\left(i x^{4}\right)^{3}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-4 \,{\mathrm e}^{x}+2 x}\right)^{3}-i \pi  \mathrm{csgn}\left(i x^{4} {\mathrm e}^{-4 \,{\mathrm e}^{x}+2 x}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \mathrm{csgn}\left(i {\mathrm e}^{-4 \,{\mathrm e}^{x}+2 x}\right) \mathrm{csgn}\left(i x^{4} {\mathrm e}^{-4 \,{\mathrm e}^{x}+2 x}\right)-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-4 \,{\mathrm e}^{x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-4 \,{\mathrm e}^{x}+2 x}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)}{2 x^{2}}$&$524$\\ \hline \end{longtable}"," ",0,"1/x^2*ln(2*x^4*exp(x)^2/exp(4*exp(x)))+1/x+2/x^2+1/2*(2*exp(4)-4)/x^2","A"
3891,1,36,14,0.045000," ","int(1/50*(-7*x^2+4*x)*exp(-7/4*x-24)^2+1/50*(35*x^2-215*x+100)*exp(-7/4*x-24)+2*x-10,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{7 x}{2}-48} x^{2}}{25}+\frac{\left(-20 x^{2}+100 x \right) {\mathrm e}^{-\frac{7 x}{4}-24}}{50}+x^{2}-10 x$&$36$\\ norman&$x^{2}-10 x +2 \,{\mathrm e}^{-\frac{7 x}{4}-24} x -\frac{2 \,{\mathrm e}^{-\frac{7 x}{4}-24} x^{2}}{5}+\frac{{\mathrm e}^{-\frac{7 x}{2}-48} x^{2}}{25}$&$41$\\ default&$x^{2}-10 x +\frac{9216 \,{\mathrm e}^{-\frac{7 x}{2}-48}}{1225}+\frac{768 \,{\mathrm e}^{-\frac{7 x}{2}-48} \left(-\frac{7 x}{4}-24\right)}{1225}+\frac{16 \,{\mathrm e}^{-\frac{7 x}{2}-48} \left(-\frac{7 x}{4}-24\right)^{2}}{1225}-\frac{1816 \,{\mathrm e}^{-\frac{7 x}{4}-24} \left(-\frac{7 x}{4}-24\right)}{245}-\frac{25152 \,{\mathrm e}^{-\frac{7 x}{4}-24}}{245}-\frac{32 \,{\mathrm e}^{-\frac{7 x}{4}-24} \left(-\frac{7 x}{4}-24\right)^{2}}{245}$&$86$\\ derivativedivides&$-\frac{262 x}{7}-\frac{25152}{49}+\frac{16 \left(-\frac{7 x}{4}-24\right)^{2}}{49}+\frac{9216 \,{\mathrm e}^{-\frac{7 x}{2}-48}}{1225}+\frac{768 \,{\mathrm e}^{-\frac{7 x}{2}-48} \left(-\frac{7 x}{4}-24\right)}{1225}+\frac{16 \,{\mathrm e}^{-\frac{7 x}{2}-48} \left(-\frac{7 x}{4}-24\right)^{2}}{1225}-\frac{1816 \,{\mathrm e}^{-\frac{7 x}{4}-24} \left(-\frac{7 x}{4}-24\right)}{245}-\frac{25152 \,{\mathrm e}^{-\frac{7 x}{4}-24}}{245}-\frac{32 \,{\mathrm e}^{-\frac{7 x}{4}-24} \left(-\frac{7 x}{4}-24\right)^{2}}{245}$&$93$\\ \hline \end{longtable}"," ",0,"1/25*exp(-7/2*x-48)*x^2+1/50*(-20*x^2+100*x)*exp(-7/4*x-24)+x^2-10*x","B"
3892,1,11,11,0.018000," ","int((-x^2-8)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4}{x^{2}}-\ln \left(x \right)$&$11$\\ norman&$\frac{4}{x^{2}}-\ln \left(x \right)$&$11$\\ risch&$\frac{4}{x^{2}}-\ln \left(x \right)$&$11$\\ \hline \end{longtable}"," ",0,"4/x^2-ln(x)","A"
3893,1,32,21,0.029000," ","int(((5*x^4+192*x^3+2592*x^2+13828*x+20736)*exp(3+x)+5*x-5)/exp(3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{5}+48 x^{4}+864 x^{3}+6914 x^{2}+20736 x -5 x \,{\mathrm e}^{-3-x}$&$32$\\ derivativedivides&$\left(3+x \right)^{5}+33 \left(3+x \right)^{4}+378 \left(3+x \right)^{3}+1460 \left(3+x \right)^{2}-6597-2199 x +15 \,{\mathrm e}^{-3-x}-5 \,{\mathrm e}^{-3-x} \left(3+x \right)$&$51$\\ default&$\left(3+x \right)^{5}+33 \left(3+x \right)^{4}+378 \left(3+x \right)^{3}+1460 \left(3+x \right)^{2}-6597-2199 x +15 \,{\mathrm e}^{-3-x}-5 \,{\mathrm e}^{-3-x} \left(3+x \right)$&$51$\\ norman&$\left(x^{5} {\mathrm e}^{3+x}-5 x +6914 x^{2} {\mathrm e}^{3+x}+864 x^{3} {\mathrm e}^{3+x}+48 x^{4} {\mathrm e}^{3+x}+20736 \,{\mathrm e}^{3+x} x \right) {\mathrm e}^{-3-x}$&$54$\\ \hline \end{longtable}"," ",0,"x^5+48*x^4+864*x^3+6914*x^2+20736*x-5*x*exp(-3-x)","A"
3894,1,21,21,0.024000," ","int((-2*x^4+101*x^3-1311*x^2+630*x+630)/(x^3-50*x^2+630*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -x^{2}+\ln \left(x \right)-\ln \left(x^{2}-50 x +630\right)$&$21$\\ norman&$x -x^{2}+\ln \left(x \right)-\ln \left(x^{2}-50 x +630\right)$&$21$\\ risch&$x -x^{2}+\ln \left(x \right)-\ln \left(x^{2}-50 x +630\right)$&$21$\\ \hline \end{longtable}"," ",0,"x-x^2+ln(x)-ln(x^2-50*x+630)","A"
3895,1,24,20,0.041000," ","int((90*x^2+80*x+10)/((3*x^3+4*x^2+x)*ln((6*x^3+8*x^2+2*x)*ln(5))-3*x^3-4*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$10 \ln \left(\ln \left(\left(6 x^{3}+8 x^{2}+2 x \right) \ln \left(5\right)\right)-1\right)$&$24$\\ risch&$10 \ln \left(\ln \left(\left(6 x^{3}+8 x^{2}+2 x \right) \ln \left(5\right)\right)-1\right)$&$24$\\ \hline \end{longtable}"," ",0,"10*ln(ln((6*x^3+8*x^2+2*x)*ln(5))-1)","A"
3896,1,34,27,0.153000," ","int(((6*x*ln(2)-12*x^2)*ln(x^4/(4*ln(2)^2-16*x*ln(2)+16*x^2))+6*x*ln(2)-24*x^2)/((2*ln(2)-4*x)*ln(x^4/(4*ln(2)^2-16*x*ln(2)+16*x^2))^2+(12*ln(2)-24*x)*ln(x^4/(4*ln(2)^2-16*x*ln(2)+16*x^2))+18*ln(2)-36*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 x^{2}}{2 \left(\ln \left(\frac{x^{4}}{4 \ln \left(2\right)^{2}-16 x \ln \left(2\right)+16 x^{2}}\right)+3\right)}$&$34$\\ risch&$\frac{3 x^{2}}{2 \left(\ln \left(\frac{x^{4}}{4 \ln \left(2\right)^{2}-16 x \ln \left(2\right)+16 x^{2}}\right)+3\right)}$&$34$\\ \hline \end{longtable}"," ",0,"3/2*x^2/(ln(x^4/(4*ln(2)^2-16*x*ln(2)+16*x^2))+3)","A"
3897,1,20,17,0.064000," ","int(1/5*(20*x^3+108*x^2+32*x-32)*exp(x-2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \,{\mathrm e}^{x -2} \left(5 x^{2}+22 x +8\right)}{5 x}$&$20$\\ risch&$\frac{4 \,{\mathrm e}^{x -2} \left(5 x^{2}+22 x +8\right)}{5 x}$&$20$\\ derivativedivides&$\frac{32 \,{\mathrm e}^{x -2}}{5 x}+\frac{128 \,{\mathrm e}^{x -2}}{5}+4 \,{\mathrm e}^{x -2} \left(x -2\right)$&$26$\\ default&$\frac{32 \,{\mathrm e}^{x -2}}{5 x}+\frac{128 \,{\mathrm e}^{x -2}}{5}+4 \,{\mathrm e}^{x -2} \left(x -2\right)$&$26$\\ norman&$\frac{\frac{88 x \,{\mathrm e}^{x -2}}{5}+4 x^{2} {\mathrm e}^{x -2}+\frac{32 \,{\mathrm e}^{x -2}}{5}}{x}$&$28$\\ meijerg&$\frac{32 \,{\mathrm e}^{-2} \left(\frac{1}{x}+1-\ln \left(x \right)-i \pi -\frac{2 x +2}{2 x}+\frac{{\mathrm e}^{x}}{x}+\ln \left(-x \right)+\expIntegralEi \left(1, -x \right)\right)}{5}+4 \,{\mathrm e}^{-2} \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)-\frac{108 \,{\mathrm e}^{-2} \left(1-{\mathrm e}^{x}\right)}{5}+\frac{32 \,{\mathrm e}^{-2} \left(\ln \left(x \right)+i \pi -\ln \left(-x \right)-\expIntegralEi \left(1, -x \right)\right)}{5}$&$93$\\ \hline \end{longtable}"," ",0,"4/5*exp(x-2)*(5*x^2+22*x+8)/x","A"
3898,1,69,32,0.069000," ","int(((5*exp(x)^4+(10*exp(5)-30)*exp(x)^3+(5*exp(5)^2-60*exp(5)-10*x^2+45)*exp(x)^2+(-30*exp(5)^2+(-10*x^2+90)*exp(5)+30*x^2)*exp(x)+45*exp(5)^2+30*x^2*exp(5)+5*x^4)*ln(2*x)+(10*x+5)*exp(x)^4+((20*x+10)*exp(5)-61*x-29)*exp(x)^3+((10*x+5)*exp(5)^2+(-122*x-58)*exp(5)-20*x^3-10*x^2+90*x+42)*exp(x)^2+((-61*x-29)*exp(5)^2+(-20*x^3-10*x^2+180*x+84)*exp(5)+59*x^3+31*x^2)*exp(x)+(90*x+42)*exp(5)^2+(60*x^3+31*x^2)*exp(5)+10*x^5+5*x^4)/(exp(x)^4+(2*exp(5)-6)*exp(x)^3+(exp(5)^2-12*exp(5)-2*x^2+9)*exp(x)^2+(-6*exp(5)^2+(-2*x^2+18)*exp(5)+6*x^2)*exp(x)+9*exp(5)^2+6*x^2*exp(5)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x \ln \left(2 x \right)+\frac{x \left(5 x \,{\mathrm e}^{5+x}-5 x^{3}+5 x \,{\mathrm e}^{2 x}-15 x \,{\mathrm e}^{5}-15 \,{\mathrm e}^{x} x +{\mathrm e}^{5}+{\mathrm e}^{x}\right)}{{\mathrm e}^{5+x}+{\mathrm e}^{2 x}-x^{2}-3 \,{\mathrm e}^{5}-3 \,{\mathrm e}^{x}}$&$69$\\ \hline \end{longtable}"," ",0,"5*x*ln(2*x)+x*(5*x*exp(5+x)-5*x^3+5*x*exp(2*x)-15*x*exp(5)-15*exp(x)*x+exp(5)+exp(x))/(exp(5+x)+exp(2*x)-x^2-3*exp(5)-3*exp(x))","B"
3899,1,433,32,0.426000," ","int((((12*x^3+12*x^2-48*x-48)*exp(12*x)-2*x^4-2*x^3+8*x^2+8*x)*ln((x^2-4)/(x+1))^2-5*x^2-10*x-20)/(((x^3+x^2-4*x-4)*exp(12*x)-x^5-x^4+4*x^3+4*x^2)*ln((x^2-4)/(x+1))^2+(5*x^3+5*x^2-20*x-20)*ln((x^2-4)/(x+1))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-x^{2}+{\mathrm e}^{12 x}\right)+\ln \left(\ln \left(x^{2}-4\right)-\frac{i \left(\pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x +1}\right) \mathrm{csgn}\left(i \left(x^{2}-4\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x +1}\right)-\pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x +1}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x +1}\right)^{2}-\pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2}-4\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x +1}\right)^{2}+\pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x +1}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i}{x +1}\right) \mathrm{csgn}\left(i \left(x^{2}-4\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x +1}\right) {\mathrm e}^{12 x}+\pi  \,\mathrm{csgn}\left(\frac{i}{x +1}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x +1}\right)^{2} {\mathrm e}^{12 x}+\pi  \,\mathrm{csgn}\left(i \left(x^{2}-4\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x +1}\right)^{2} {\mathrm e}^{12 x}-\pi  \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x +1}\right)^{3} {\mathrm e}^{12 x}-2 i x^{2} \ln \left(x +1\right)+2 i {\mathrm e}^{12 x} \ln \left(x +1\right)-10 i\right)}{2 \left(x^{2}-{\mathrm e}^{12 x}\right)}\right)-\ln \left(\ln \left(x^{2}-4\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x +1}\right) \mathrm{csgn}\left(i \left(x^{2}-4\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x +1}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x +1}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x +1}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x^{2}-4\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x +1}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x +1}\right)^{3}-2 i \ln \left(x +1\right)\right)}{2}\right)$&$433$\\ \hline \end{longtable}"," ",0,"ln(-x^2+exp(12*x))+ln(ln(x^2-4)-1/2*I*(Pi*x^2*csgn(I/(x+1))*csgn(I*(x^2-4))*csgn(I/(x+1)*(x^2-4))-Pi*x^2*csgn(I/(x+1))*csgn(I/(x+1)*(x^2-4))^2-Pi*x^2*csgn(I*(x^2-4))*csgn(I/(x+1)*(x^2-4))^2+Pi*x^2*csgn(I/(x+1)*(x^2-4))^3-Pi*csgn(I/(x+1))*csgn(I*(x^2-4))*csgn(I/(x+1)*(x^2-4))*exp(12*x)+Pi*csgn(I/(x+1))*csgn(I/(x+1)*(x^2-4))^2*exp(12*x)+Pi*csgn(I*(x^2-4))*csgn(I/(x+1)*(x^2-4))^2*exp(12*x)-Pi*csgn(I/(x+1)*(x^2-4))^3*exp(12*x)-2*I*x^2*ln(x+1)+2*I*exp(12*x)*ln(x+1)-10*I)/(x^2-exp(12*x)))-ln(ln(x^2-4)-1/2*I*(Pi*csgn(I/(x+1))*csgn(I*(x^2-4))*csgn(I/(x+1)*(x^2-4))-Pi*csgn(I/(x+1))*csgn(I/(x+1)*(x^2-4))^2-Pi*csgn(I*(x^2-4))*csgn(I/(x+1)*(x^2-4))^2+Pi*csgn(I/(x+1)*(x^2-4))^3-2*I*ln(x+1)))","C"
3900,1,30,29,0.302000," ","int((-3*x*exp(5)^2*ln(x)^2+(6*exp(5)^4-6*x*exp(5)^2)*ln(x)-9*x*exp(5)^2)/((x*exp(5)^4-2*x^2*exp(5)^2+x^3)*ln(2/5)*ln(x)^4+(6*x*exp(5)^4-12*x^2*exp(5)^2+6*x^3)*ln(2/5)*ln(x)^2+(9*x*exp(5)^4-18*x^2*exp(5)^2+9*x^3)*ln(2/5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 \,{\mathrm e}^{10}}{\left(\ln \left(2\right)-\ln \left(5\right)\right) \left(\ln \left(x \right)^{2}+3\right) \left({\mathrm e}^{10}-x \right)}$&$30$\\ norman&$-\frac{3 \,{\mathrm e}^{10}}{\left(\ln \left(2\right)-\ln \left(5\right)\right) \left(\ln \left(x \right)^{2}+3\right) \left({\mathrm e}^{10}-x \right)}$&$34$\\ \hline \end{longtable}"," ",0,"-3*exp(10)/(ln(2)-ln(5))/(ln(x)^2+3)/(exp(10)-x)","A"
3901,1,28,23,0.115000," ","int((45*x^6+48*x^3-x^2+x-16)*exp((9*x^6+24*x^3-x^2+6*x+16)/x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \,{\mathrm e}^{\frac{9 x^{6}+24 x^{3}-x^{2}+6 x +16}{x}}$&$28$\\ norman&$x \,{\mathrm e}^{\frac{9 x^{6}+24 x^{3}-x^{2}+6 x +16}{x}}$&$28$\\ risch&$x \,{\mathrm e}^{\frac{9 x^{6}+24 x^{3}-x^{2}+6 x +16}{x}}$&$28$\\ \hline \end{longtable}"," ",0,"x*exp((9*x^6+24*x^3-x^2+6*x+16)/x)","A"
3902,1,19,18,0.065000," ","int((-8*ln(x)*ln(ln(x))+(8*ln(2*x)-16)*ln(-ln(2*x)+2))/(x*ln(x)*ln(2*x)-2*x*ln(x))/ln(-ln(2*x)+2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 \ln \left(\ln \left(x \right)\right)}{\ln \left(-\ln \left(2\right)-\ln \left(x \right)+2\right)}$&$19$\\ \hline \end{longtable}"," ",0,"8*ln(ln(x))/ln(-ln(2)-ln(x)+2)","A"
3903,1,29,24,0.064000," ","int(((-2*ln(2)-x^3+x)*ln(1/2*(2*x*ln(2)+x^4-x^2)/ln(2))-6*ln(2)-6*x^3+4*x)/(2*ln(2)+x^3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 x -x \ln \left(\frac{2 x \ln \left(2\right)+x^{4}-x^{2}}{2 \ln \left(2\right)}\right)$&$29$\\ risch&$-2 x -x \ln \left(\frac{2 x \ln \left(2\right)+x^{4}-x^{2}}{2 \ln \left(2\right)}\right)$&$29$\\ default&$x \ln \left(2\right)-2 x +2 \left(\munderset{\textit{\_R} =\RootOf \left(2 \ln \left(2\right)+\textit{\_Z}^{3}-\textit{\_Z} \right)}{\sum}\frac{\left(-\textit{\_R} +3 \ln \left(2\right)\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}-1}\right)-x \ln \left(x \left(2 \ln \left(2\right)+x^{3}-x \right)\right)+2 \left(\munderset{\textit{\_R} =\RootOf \left(2 \ln \left(2\right)+\textit{\_Z}^{3}-\textit{\_Z} \right)}{\sum}\frac{\left(\textit{\_R} -3 \ln \left(2\right)\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}-1}\right)+x \ln \left(\ln \left(2\right)\right)$&$111$\\ \hline \end{longtable}"," ",0,"-2*x-x*ln(1/2*(2*x*ln(2)+x^4-x^2)/ln(2))","A"
3904,1,17,13,0.043000," ","int(((-4802*x^2-7791*x)*ln(x)+2401*x^2+7791*x-490000)/(2401*x^5+15582*x^4-954719*x^3-3180000*x^2+100000000*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{49 \ln \left(x \right)}{49 x^{2}+159 x -10000}$&$17$\\ risch&$\frac{49 \ln \left(x \right)}{49 x^{2}+159 x -10000}$&$17$\\ default&$-\frac{49 \ln \left(x \right)}{10000}+\frac{117649 \ln \left(x \right) x}{880625 \left(49 x -625\right)}+\frac{49 \ln \left(x \right) x}{22544 \left(x +16\right)}$&$28$\\ \hline \end{longtable}"," ",0,"49*ln(x)/(49*x^2+159*x-10000)","A"
3905,1,17,16,0.074000," ","int(((2*x^3+15*x^2+27*x+5)*ln(x^2+5*x+1)-2*x^3-15*x^2-25*x)/(x^2+5*x+1)/ln(x^2+5*x+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(5+x \right) x}{\ln \left(x^{2}+5 x +1\right)}$&$17$\\ norman&$\frac{x^{2}+5 x}{\ln \left(x^{2}+5 x +1\right)}$&$20$\\ \hline \end{longtable}"," ",0,"(5+x)*x/ln(x^2+5*x+1)","A"
3906,1,21,20,0.204000," ","int((-18*exp(9)+36*x-18)/((x^3+12*x^2+48*x+64)*exp(9)^3+(-3*x^4-21*x^3+36*x^2+528*x+960)*exp(9)^2+(3*x^5+6*x^4-141*x^3-348*x^2+1680*x+4800)*exp(9)-x^6+3*x^5+57*x^4-119*x^3-1140*x^2+1200*x+8000)/ln(5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{9}{\ln \left(5\right)^{2} \left(4+x \right)^{2} \left(-x +{\mathrm e}^{9}+5\right)^{2}}$&$21$\\ risch&$\frac{9}{\ln \left(5\right)^{2} \left(x^{2} {\mathrm e}^{18}-2 \,{\mathrm e}^{9} x^{3}+x^{4}+8 \,{\mathrm e}^{18} x -6 x^{2} {\mathrm e}^{9}-2 x^{3}+16 \,{\mathrm e}^{18}+48 x \,{\mathrm e}^{9}-39 x^{2}+160 \,{\mathrm e}^{9}+40 x +400\right)}$&$65$\\ gosper&$\frac{9}{\ln \left(5\right)^{2} \left(x^{2} {\mathrm e}^{18}-2 \,{\mathrm e}^{9} x^{3}+x^{4}+8 \,{\mathrm e}^{18} x -6 x^{2} {\mathrm e}^{9}-2 x^{3}+16 \,{\mathrm e}^{18}+48 x \,{\mathrm e}^{9}-39 x^{2}+160 \,{\mathrm e}^{9}+40 x +400\right)}$&$71$\\ default&$\frac{-\frac{6 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+\left(-3 \,{\mathrm e}^{9}-15\right) \textit{\_Z}^{2}+\left(30 \,{\mathrm e}^{9}+3 \,{\mathrm e}^{18}+75\right) \textit{\_Z} -75 \,{\mathrm e}^{9}-{\mathrm e}^{27}-15 \,{\mathrm e}^{18}-125\right)}{\sum}\frac{\left(7440174-531441 \textit{\_R} +6022998 \,{\mathrm e}^{9}-354294 \textit{\_R} \,{\mathrm e}^{9}+46170 \,{\mathrm e}^{36}-54 \textit{\_R} \,{\mathrm e}^{45}-{\mathrm e}^{54} \textit{\_R} -1215 \,{\mathrm e}^{36} \textit{\_R} +2086398 \,{\mathrm e}^{18}-98415 \,{\mathrm e}^{18} \textit{\_R} +400950 \,{\mathrm e}^{27}-14580 \textit{\_R} \,{\mathrm e}^{27}+3186 \,{\mathrm e}^{45}+2 \,{\mathrm e}^{63}+122 \,{\mathrm e}^{54}\right) \ln \left(x -\textit{\_R} \right)}{25-2 \textit{\_R} \,{\mathrm e}^{9}+\textit{\_R}^{2}+10 \,{\mathrm e}^{9}+{\mathrm e}^{18}-10 \textit{\_R}}\right)}{\left(729+243 \,{\mathrm e}^{9}+27 \,{\mathrm e}^{18}+{\mathrm e}^{27}\right)^{3}}-\frac{18 \left(-354294 \,{\mathrm e}^{9}-1215 \,{\mathrm e}^{36}-54 \,{\mathrm e}^{45}-{\mathrm e}^{54}-14580 \,{\mathrm e}^{27}-98415 \,{\mathrm e}^{18}-531441\right)}{\left(729+243 \,{\mathrm e}^{9}+27 \,{\mathrm e}^{18}+{\mathrm e}^{27}\right)^{3} \left(4+x \right)}-\frac{9 \left(-3720087 \,{\mathrm e}^{9}-25515 \,{\mathrm e}^{36}-1701 \,{\mathrm e}^{45}-63 \,{\mathrm e}^{54}-229635 \,{\mathrm e}^{27}-1240029 \,{\mathrm e}^{18}-{\mathrm e}^{63}-4782969\right)}{\left(729+243 \,{\mathrm e}^{9}+27 \,{\mathrm e}^{18}+{\mathrm e}^{27}\right)^{3} \left(4+x \right)^{2}}}{\ln \left(5\right)^{2}}$&$256$\\ \hline \end{longtable}"," ",0,"9/ln(5)^2/(4+x)^2/(-x+exp(9)+5)^2","A"
3907,1,36,31,0.352000," ","int((((x-1)*exp(3+x)+4)*exp(exp(1/2*x^2))^2+((-x^2*exp(3+x)+4*x^2)*exp(1/2*x^2)+(-7*x+7)*exp(3+x)-28)*exp(exp(1/2*x^2))+(12*x-12)*exp(3+x)+48)/((exp(3+x)*x-4*x)*exp(exp(1/2*x^2))^2+(-7*exp(3+x)*x+28*x)*exp(exp(1/2*x^2))+12*exp(3+x)*x-48*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)-3+\ln \left({\mathrm e}^{3+x}-4\right)+\ln \left({\mathrm e}^{{\mathrm e}^{\frac{x^{2}}{2}}}-3\right)-\ln \left({\mathrm e}^{{\mathrm e}^{\frac{x^{2}}{2}}}-4\right)$&$36$\\ \hline \end{longtable}"," ",0,"-ln(x)-3+ln(exp(3+x)-4)+ln(exp(exp(1/2*x^2))-3)-ln(exp(exp(1/2*x^2))-4)","A"
3908,1,19,27,0.126000," ","int((x^2*ln(x)^3+(9*x^3-45*x^2)*ln(x)^2+(9*exp(1)^2+27*x^4-270*x^3+675*x^2)*ln(x)+(81*x-117)*exp(1)^2+27*x^5-405*x^4+2025*x^3-3375*x^2)/(x^2*ln(x)^3+(9*x^3-45*x^2)*ln(x)^2+(27*x^4-270*x^3+675*x^2)*ln(x)+27*x^5-405*x^4+2025*x^3-3375*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{9 \,{\mathrm e}^{2}}{x \left(\ln \left(x \right)+3 x -15\right)^{2}}$&$19$\\ norman&$\frac{-675 x^{2}+2250 x +x^{2} \ln \left(x \right)^{2}+6 x^{3} \ln \left(x \right)+10 x \ln \left(x \right)^{2}+30 x^{2} \ln \left(x \right)-300 x \ln \left(x \right)+9 x^{4}-9 \,{\mathrm e}^{2}}{x \left(\ln \left(x \right)+3 x -15\right)^{2}}$&$68$\\ \hline \end{longtable}"," ",0,"x-9/x*exp(2)/(ln(x)+3*x-15)^2","A"
3909,1,224,35,1.071000," ","int((((((5*x^2+25*x)*ln(x)-20*x-100)*ln(x^2)+(-10*x^2-50*x)*ln(x)+40*x+200)*ln((-x*ln(x)+4)/x)+(10*x*ln(x)-40)*ln(x^2)^2+(-20*x^2*ln(x)+5*x^2+125*x+100)*ln(x^2)+10*x^3*ln(x)-5*x^3-85*x^2-100*x)*exp(x*ln((-x*ln(x)+4)/x)/(2*ln(x^2)-2*x))+((-20*x^2-50*x)*ln(x)+80*x+200)*ln(x^2)^2+((40*x^3+100*x^2)*ln(x)-160*x^2-400*x)*ln(x^2)+(-20*x^4-50*x^3)*ln(x)+80*x^3+200*x^2)/((2*x*ln(x)-8)*ln(x^2)^2+(-4*x^2*ln(x)+16*x)*ln(x^2)+2*x^3*ln(x)-8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x^{2}-25 x +\left(25+5 x \right) {\mathrm e}^{-\frac{x \left(-i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)-4\right)}{x}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)-4\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)-4\right)}{x}\right)^{2} \mathrm{csgn}\left(i \left(x \ln \left(x \right)-4\right)\right)+i \pi  \,\mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)-4\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \ln \left(x \right)-4\right)\right)+2 i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)-4\right)}{x}\right)^{2}-2 i \pi +2 \ln \left(x \right)-2 \ln \left(x \ln \left(x \right)-4\right)\right)}{2 \left(-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+4 \ln \left(x \right)-2 x \right)}}$&$224$\\ \hline \end{longtable}"," ",0,"-5*x^2-25*x+(25+5*x)*exp(-1/2*x*(-I*Pi*csgn(I*(x*ln(x)-4)/x)^3-I*Pi*csgn(I*(x*ln(x)-4)/x)^2*csgn(I/x)-I*Pi*csgn(I*(x*ln(x)-4)/x)^2*csgn(I*(x*ln(x)-4))+I*Pi*csgn(I*(x*ln(x)-4)/x)*csgn(I/x)*csgn(I*(x*ln(x)-4))+2*I*Pi*csgn(I*(x*ln(x)-4)/x)^2-2*I*Pi+2*ln(x)-2*ln(x*ln(x)-4))/(-I*Pi*csgn(I*x^2)^3+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x)^2*csgn(I*x^2)+4*ln(x)-2*x))","C"
3910,1,36,25,0.106000," ","int(((20*x^3+150)*exp(x)-45*x^6+675*x^3-2025*x^2)*exp(((-x^3-10*x+15)*exp(x)+45*x^3)/(x^3-15)/exp(x))/(x^6-30*x^3+225)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{\left({\mathrm e}^{x} x^{3}-45 x^{3}+10 \,{\mathrm e}^{x} x -15 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{x^{3}-15}}$&$36$\\ norman&$\frac{\left({\mathrm e}^{x} x^{3} {\mathrm e}^{\frac{\left(\left(-x^{3}-10 x +15\right) {\mathrm e}^{x}+45 x^{3}\right) {\mathrm e}^{-x}}{x^{3}-15}}-15 \,{\mathrm e}^{x} {\mathrm e}^{\frac{\left(\left(-x^{3}-10 x +15\right) {\mathrm e}^{x}+45 x^{3}\right) {\mathrm e}^{-x}}{x^{3}-15}}\right) {\mathrm e}^{-x}}{x^{3}-15}$&$88$\\ \hline \end{longtable}"," ",0,"exp(-(exp(x)*x^3-45*x^3+10*exp(x)*x-15*exp(x))*exp(-x)/(x^3-15))","A"
3911,1,41,20,0.296000," ","int((ln(4*x^2)^2+(-2*x-5)*ln(4*x^2)+x^2+6*x+4)*exp(((4+x)*ln(4*x^2)-x^2-6*x-12)/(ln(4*x^2)-3-x))/(ln(4*x^2)^2+(-2*x-6)*ln(4*x^2)+x^2+6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-x \ln \left(4 x^{2}\right)+x^{2}-4 \ln \left(4 x^{2}\right)+6 x +12}{x -\ln \left(4 x^{2}\right)+3}}$&$41$\\ norman&$\frac{x \,{\mathrm e}^{\frac{\left(4+x \right) \ln \left(4 x^{2}\right)-x^{2}-6 x -12}{\ln \left(4 x^{2}\right)-3-x}}-\ln \left(4 x^{2}\right) {\mathrm e}^{\frac{\left(4+x \right) \ln \left(4 x^{2}\right)-x^{2}-6 x -12}{\ln \left(4 x^{2}\right)-3-x}}+3 \,{\mathrm e}^{\frac{\left(4+x \right) \ln \left(4 x^{2}\right)-x^{2}-6 x -12}{\ln \left(4 x^{2}\right)-3-x}}}{x -\ln \left(4 x^{2}\right)+3}$&$133$\\ default&$\frac{x \,{\mathrm e}^{\frac{\left(4+x \right) \ln \left(4 x^{2}\right)-x^{2}-6 x -12}{\ln \left(4 x^{2}\right)-3-x}}+\left(-\ln \left(4 x^{2}\right)+2 \ln \left(x \right)+3\right) {\mathrm e}^{\frac{\left(4+x \right) \ln \left(4 x^{2}\right)-x^{2}-6 x -12}{\ln \left(4 x^{2}\right)-3-x}}-2 \ln \left(x \right) {\mathrm e}^{\frac{\left(4+x \right) \ln \left(4 x^{2}\right)-x^{2}-6 x -12}{\ln \left(4 x^{2}\right)-3-x}}}{x -\ln \left(4 x^{2}\right)+3}$&$142$\\ \hline \end{longtable}"," ",0,"exp((-x*ln(4*x^2)+x^2-4*ln(4*x^2)+6*x+12)/(x-ln(4*x^2)+3))","A"
3912,1,74,29,0.108000," ","int(((-18*x^13-54*x^12-864*x^10-2592*x^9-864*x^8-17280*x^7-41472*x^6-13824*x^5-142848*x^4-202752*x^3-221184*x+73728)*ln(x)^2+(-18*x^13-108*x^12-162*x^11-864*x^10-5184*x^9-7200*x^8-12096*x^7-82944*x^6-105984*x^5-18432*x^4-446976*x^3-516096*x^2+442368*x-73728)*ln(x)-x^12-48*x^9-768*x^6-4096*x^3)/(x^12+48*x^9+768*x^6+4096*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{9 \left(x^{10}+6 x^{9}+9 x^{8}+32 x^{7}+192 x^{6}+256 x^{5}+160 x^{4}+1536 x^{3}+1792 x^{2}-1536 x +256\right) \ln \left(x \right)^{2}}{x^{2} \left(x^{6}+32 x^{3}+256\right)}-x$&$74$\\ \hline \end{longtable}"," ",0,"-9*(x^10+6*x^9+9*x^8+32*x^7+192*x^6+256*x^5+160*x^4+1536*x^3+1792*x^2-1536*x+256)/x^2/(x^6+32*x^3+256)*ln(x)^2-x","B"
3913,1,25,24,0.044000," ","int(((x^3-2*x^2-2)*exp((x^3+x^2+2*x)/exp(x))+(8*x-71)*exp(x))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2}-71 x -{\mathrm e}^{x \left(x^{2}+x +2\right) {\mathrm e}^{-x}}$&$25$\\ norman&$\left(-71 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{x} x^{2}-{\mathrm e}^{x} {\mathrm e}^{\left(x^{3}+x^{2}+2 x \right) {\mathrm e}^{-x}}\right) {\mathrm e}^{-x}$&$39$\\ \hline \end{longtable}"," ",0,"4*x^2-71*x-exp(x*(x^2+x+2)*exp(-x))","A"
3914,1,28,17,0.050000," ","int(((2*x^3-12*x^2+24*x-16)*exp(2*x-5)-2*ln(2)+2)/(x^3-6*x^2+12*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\frac{4}{\left(2 x -4\right)^{2}}+\frac{4 \ln \left(2\right)}{\left(2 x -4\right)^{2}}+{\mathrm e}^{2 x -5}$&$28$\\ default&$-\frac{4}{\left(2 x -4\right)^{2}}+\frac{4 \ln \left(2\right)}{\left(2 x -4\right)^{2}}+{\mathrm e}^{2 x -5}$&$28$\\ risch&$-\frac{1}{x^{2}-4 x +4}+\frac{\ln \left(2\right)}{x^{2}-4 x +4}+{\mathrm e}^{2 x -5}$&$33$\\ norman&$\frac{{\mathrm e}^{2 x -5} x^{2}-1-4 \,{\mathrm e}^{2 x -5} x +4 \,{\mathrm e}^{2 x -5}+\ln \left(2\right)}{\left(x -2\right)^{2}}$&$38$\\ \hline \end{longtable}"," ",0,"-4/(2*x-4)^2+4*ln(2)/(2*x-4)^2+exp(2*x-5)","A"
3915,1,162,21,0.117000," ","int((524288*x^32+10485760*x^31+100925440*x^30+614203392*x^29+2618032128*x^28+8172208128*x^27+18860670976*x^26+31082479616*x^25+30720819200*x^24-4145971200*x^23-86671294464*x^22-201710469120*x^21-305923072000*x^20-354061008896*x^19-329327366144*x^18-251744145408*x^17-160647395328*x^16-87747545088*x^15-42386477056*x^14-18247276544*x^13-6896916992*x^12-2431822848*x^11-761634048*x^10-209432832*x^9-60505088*x^8-11342464*x^7-3470656*x^6-361536*x^5-135264*x^4-5856*x^3-3136*x^2-32*x-32)/(x^34+34*x^33+544*x^32+5440*x^31+38080*x^30+198016*x^29+792064*x^28+2489344*x^27+6223360*x^26+12446720*x^25+19914752*x^24+25346048*x^23+25346048*x^22+19496960*x^21+11141120*x^20+4456448*x^19+1114112*x^18+131072*x^17),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-524288 x^{31}-13107200 x^{30}-155975680 x^{29}-1167392768 x^{28}-6127091712 x^{27}-23828037632 x^{26}-70774489088 x^{25}-163127910400 x^{24}-293418598400 x^{23}-410371440640 x^{22}-439798726656 x^{21}-349689733120 x^{20}-191661137920 x^{19}-56850415616 x^{18}+6795046912 x^{17}+16583389952 x^{16}+9449846784 x^{15}+3824880640 x^{14}+1425629184 x^{13}+484675072 x^{12}+143786496 x^{11}+45179904 x^{10}+9542400 x^{9}+3159968 x^{8}+397824 x^{7}+160832 x^{6}+9408 x^{5}+5520 x^{4}+96 x^{3}+112 x^{2}+1}{x^{16} \left(2+x \right)^{16}}$&$162$\\ default&$\frac{618957835629}{67108864 x^{4}}-\frac{25159927717}{8388608 x^{5}}-\frac{91552734375}{8192 \left(2+x \right)^{15}}+\frac{152587890625}{65536 \left(2+x \right)^{16}}+\frac{1871087401953125}{8388608 \left(2+x \right)^{8}}-\frac{133520798828125}{524288 \left(2+x \right)^{9}}+\frac{131157099609375}{524288 \left(2+x \right)^{10}}-\frac{27015771484375}{131072 \left(2+x \right)^{11}}+\frac{37592041015625}{262144 \left(2+x \right)^{12}}-\frac{2628173828125}{32768 \left(2+x \right)^{13}}+\frac{1177978515625}{32768 \left(2+x \right)^{14}}-\frac{303271381877625}{33554432 \left(2+x \right)^{3}}+\frac{1712660764398125}{67108864 \left(2+x \right)^{4}}-\frac{471710683246875}{8388608 \left(2+x \right)^{5}}+\frac{886272205671875}{8388608 \left(2+x \right)^{6}}-\frac{346786757265625}{2097152 \left(2+x \right)^{7}}-\frac{60269601838595}{134217728 \left(2+x \right)}+\frac{9584001347}{8388608 x^{6}}+\frac{6154395725533}{134217728 x^{2}}-\frac{10099142339069}{134217728 x}+\frac{35209}{262144 x^{12}}+\frac{365887609840925}{134217728 \left(2+x \right)^{2}}+\frac{751825061}{8388608 x^{8}}-\frac{647127286119}{33554432 x^{3}}+\frac{1}{65536 x^{16}}-\frac{610621687}{2097152 x^{7}}-\frac{1}{8192 x^{15}}+\frac{73}{32768 x^{14}}-\frac{451}{32768 x^{13}}-\frac{86793}{131072 x^{11}}+\frac{2331487}{524288 x^{10}}-\frac{9314723}{524288 x^{9}}$&$194$\\ risch&$\frac{-524288 x^{31}-13107200 x^{30}-155975680 x^{29}-1167392768 x^{28}-6127091712 x^{27}-23828037632 x^{26}-70774489088 x^{25}-163127910400 x^{24}-293418598400 x^{23}-410371440640 x^{22}-439798726656 x^{21}-349689733120 x^{20}-191661137920 x^{19}-56850415616 x^{18}+6795046912 x^{17}+16583389952 x^{16}+9449846784 x^{15}+3824880640 x^{14}+1425629184 x^{13}+484675072 x^{12}+143786496 x^{11}+45179904 x^{10}+9542400 x^{9}+3159968 x^{8}+397824 x^{7}+160832 x^{6}+9408 x^{5}+5520 x^{4}+96 x^{3}+112 x^{2}+1}{x^{16} \left(x^{16}+32 x^{15}+480 x^{14}+4480 x^{13}+29120 x^{12}+139776 x^{11}+512512 x^{10}+1464320 x^{9}+3294720 x^{8}+5857280 x^{7}+8200192 x^{6}+8945664 x^{5}+7454720 x^{4}+4587520 x^{3}+1966080 x^{2}+524288 x +65536\right)}$&$237$\\ gosper&$-\frac{524288 x^{31}+13107200 x^{30}+155975680 x^{29}+1167392768 x^{28}+6127091712 x^{27}+23828037632 x^{26}+70774489088 x^{25}+163127910400 x^{24}+293418598400 x^{23}+410371440640 x^{22}+439798726656 x^{21}+349689733120 x^{20}+191661137920 x^{19}+56850415616 x^{18}-6795046912 x^{17}-16583389952 x^{16}-9449846784 x^{15}-3824880640 x^{14}-1425629184 x^{13}-484675072 x^{12}-143786496 x^{11}-45179904 x^{10}-9542400 x^{9}-3159968 x^{8}-397824 x^{7}-160832 x^{6}-9408 x^{5}-5520 x^{4}-96 x^{3}-112 x^{2}-1}{x^{16} \left(x^{16}+32 x^{15}+480 x^{14}+4480 x^{13}+29120 x^{12}+139776 x^{11}+512512 x^{10}+1464320 x^{9}+3294720 x^{8}+5857280 x^{7}+8200192 x^{6}+8945664 x^{5}+7454720 x^{4}+4587520 x^{3}+1966080 x^{2}+524288 x +65536\right)}$&$238$\\ \hline \end{longtable}"," ",0,"(-524288*x^31-13107200*x^30-155975680*x^29-1167392768*x^28-6127091712*x^27-23828037632*x^26-70774489088*x^25-163127910400*x^24-293418598400*x^23-410371440640*x^22-439798726656*x^21-349689733120*x^20-191661137920*x^19-56850415616*x^18+6795046912*x^17+16583389952*x^16+9449846784*x^15+3824880640*x^14+1425629184*x^13+484675072*x^12+143786496*x^11+45179904*x^10+9542400*x^9+3159968*x^8+397824*x^7+160832*x^6+9408*x^5+5520*x^4+96*x^3+112*x^2+1)/x^16/(2+x)^16","B"
3916,1,30,29,0.017000," ","int(((-2*x^3+x^2)*ln(x)-11*x^3+6*x^2+4*x-3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2} \ln \left(x \right)-5 x^{2}+x \ln \left(x \right)+5 x +4 \ln \left(x \right)+\frac{3}{x}$&$30$\\ risch&$\left(-x^{2}+x \right) \ln \left(x \right)+\frac{-5 x^{3}+4 x \ln \left(x \right)+5 x^{2}+3}{x}$&$33$\\ norman&$\frac{3+x^{2} \ln \left(x \right)+4 x \ln \left(x \right)+5 x^{2}-5 x^{3}-x^{3} \ln \left(x \right)}{x}$&$35$\\ \hline \end{longtable}"," ",0,"-x^2*ln(x)-5*x^2+x*ln(x)+5*x+4*ln(x)+3/x","A"
3917,1,17,20,0.089000," ","int((-16*x^3+152*x^2+160*x)*exp(2)*exp(2*x+9/4)/(x^2-20*x+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{8 x^{2} {\mathrm e}^{\frac{17}{4}+2 x}}{x -10}$&$17$\\ risch&$-\frac{8 x^{2} {\mathrm e}^{\frac{17}{4}+2 x}}{x -10}$&$17$\\ norman&$-\frac{8 x^{2} {\mathrm e}^{2} {\mathrm e}^{2 x +\frac{9}{4}}}{x -10}$&$19$\\ derivativedivides&$4 \,{\mathrm e}^{2} \left(-\frac{400 \,{\mathrm e}^{2 x +\frac{9}{4}}}{2 x -20}-\frac{71 \,{\mathrm e}^{2 x +\frac{9}{4}}}{4}-{\mathrm e}^{2 x +\frac{9}{4}} \left(2 x +\frac{9}{4}\right)\right)$&$42$\\ default&$8 \,{\mathrm e}^{2} \left(-\frac{200 \,{\mathrm e}^{2 x +\frac{9}{4}}}{2 x -20}-\frac{71 \,{\mathrm e}^{2 x +\frac{9}{4}}}{8}-\frac{{\mathrm e}^{2 x +\frac{9}{4}} \left(2 x +\frac{9}{4}\right)}{2}\right)$&$42$\\ \hline \end{longtable}"," ",0,"-8*x^2*exp(17/4+2*x)/(x-10)","A"
3918,1,81,26,0.121000," ","int(((4*x+4)*ln(2*x+4)*ln(4*x^2+8*x+4)+4*x+8)*exp(ln(2*x+4)^2)/(9*x^2+27*x+18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-\frac{i \pi  \mathrm{csgn}\left(i \left(x +1\right)\right)^{2} \mathrm{csgn}\left(i \left(x +1\right)^{2}\right)}{9}+\frac{2 i \pi  \,\mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(i \left(x +1\right)^{2}\right)^{2}}{9}-\frac{i \pi  \mathrm{csgn}\left(i \left(x +1\right)^{2}\right)^{3}}{9}+\frac{4 \ln \left(2\right)}{9}+\frac{4 \ln \left(x +1\right)}{9}\right) {\mathrm e}^{\ln \left(2 x +4\right)^{2}}$&$81$\\ \hline \end{longtable}"," ",0,"(-1/9*I*Pi*csgn(I*(x+1))^2*csgn(I*(x+1)^2)+2/9*I*Pi*csgn(I*(x+1))*csgn(I*(x+1)^2)^2-1/9*I*Pi*csgn(I*(x+1)^2)^3+4/9*ln(2)+4/9*ln(x+1))*exp(ln(2*x+4)^2)","C"
3919,1,20,19,0.020000," ","int((4*x^3+6*x^2-14*x-9)/(x^4+2*x^3-7*x^2-9*x+17),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(x^{4}+2 x^{3}-7 x^{2}-9 x +17\right)$&$20$\\ default&$\ln \left(x^{4}+2 x^{3}-7 x^{2}-9 x +17\right)$&$20$\\ norman&$\ln \left(x^{4}+2 x^{3}-7 x^{2}-9 x +17\right)$&$20$\\ risch&$\ln \left(x^{4}+2 x^{3}-7 x^{2}-9 x +17\right)$&$20$\\ \hline \end{longtable}"," ",0,"ln(x^4+2*x^3-7*x^2-9*x+17)","A"
3920,1,53,30,0.334000," ","int(((x^3*ln(3)+x^3-16*x^2)*ln((x^2*ln(3)^2+(2*x^2-32*x)*ln(3)+x^2-32*x+256)/x^2)^2+((2*x^4+6*x^3-96*x)*ln(3)+2*x^4-26*x^3-96*x^2-96*x+1536)*ln((x^2*ln(3)^2+(2*x^2-32*x)*ln(3)+x^2-32*x+256)/x^2)+(x^5+48*x^3-192*x^2)*ln(3)+x^5-16*x^4+48*x^3-1152*x^2+4608*x-3072)/((x^3*ln(3)+x^3-16*x^2)*ln((x^2*ln(3)^2+(2*x^2-32*x)*ln(3)+x^2-32*x+256)/x^2)^2+(2*x^4*ln(3)+2*x^4-32*x^3)*ln((x^2*ln(3)^2+(2*x^2-32*x)*ln(3)+x^2-32*x+256)/x^2)+x^5*ln(3)+x^5-16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{6 x^{2}-48 x +96}{x \left(x +\ln \left(\frac{x^{2} \ln \left(3\right)^{2}+\left(2 x^{2}-32 x \right) \ln \left(3\right)+x^{2}-32 x +256}{x^{2}}\right)\right)}$&$53$\\ norman&$\frac{96+x^{3}-6 x \ln \left(\frac{x^{2} \ln \left(3\right)^{2}+\left(2 x^{2}-32 x \right) \ln \left(3\right)+x^{2}-32 x +256}{x^{2}}\right)+x^{2} \ln \left(\frac{x^{2} \ln \left(3\right)^{2}+\left(2 x^{2}-32 x \right) \ln \left(3\right)+x^{2}-32 x +256}{x^{2}}\right)-48 x}{x \left(x +\ln \left(\frac{x^{2} \ln \left(3\right)^{2}+\left(2 x^{2}-32 x \right) \ln \left(3\right)+x^{2}-32 x +256}{x^{2}}\right)\right)}$&$123$\\ \hline \end{longtable}"," ",0,"x+6*(x^2-8*x+16)/x/(x+ln((x^2*ln(3)^2+(2*x^2-32*x)*ln(3)+x^2-32*x+256)/x^2))","A"
3921,1,9,10,0.037000," ","int(2/(4+x)/ln(4+x)/ln(ln(4+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$2 \ln \left(\ln \left(\ln \left(4+x \right)\right)\right)$&$9$\\ default&$2 \ln \left(\ln \left(\ln \left(4+x \right)\right)\right)$&$9$\\ norman&$2 \ln \left(\ln \left(\ln \left(4+x \right)\right)\right)$&$9$\\ risch&$2 \ln \left(\ln \left(\ln \left(4+x \right)\right)\right)$&$9$\\ \hline \end{longtable}"," ",0,"2*ln(ln(ln(4+x)))","A"
3922,1,22,22,0.114000," ","int((((-x*exp(5)+2*x^2-x)*ln(3/2*x)*ln(exp(5)+1-2*x)-2*x^2*ln(3/2*x))*exp(x/ln(exp(5)+1-2*x))+(exp(5)+1-2*x)*ln(exp(5)+1-2*x)^2)/(x*exp(5)-2*x^2+x)/ln(3/2*x)/ln(exp(5)+1-2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(\frac{3 x}{2}\right)\right)-{\mathrm e}^{\frac{x}{\ln \left({\mathrm e}^{5}+1-2 x \right)}}$&$22$\\ risch&$\ln \left(\ln \left(\frac{3 x}{2}\right)\right)-{\mathrm e}^{\frac{x}{\ln \left({\mathrm e}^{5}+1-2 x \right)}}$&$22$\\ \hline \end{longtable}"," ",0,"ln(ln(3/2*x))-exp(x/ln(exp(5)+1-2*x))","A"
3923,1,3,10,0.008000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
3924,1,18,16,0.047000," ","int(1/15*((-5*x+8)*exp(-8/5/x)+45*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\frac{3}{x}+\frac{{\mathrm e}^{-\frac{8}{5 x}}}{3 x}$&$18$\\ default&$-\frac{3}{x}+\frac{{\mathrm e}^{-\frac{8}{5 x}}}{3 x}$&$18$\\ norman&$\frac{-3 x +\frac{{\mathrm e}^{-\frac{8}{5 x}} x}{3}}{x^{2}}$&$18$\\ risch&$-\frac{3}{x}+\frac{{\mathrm e}^{-\frac{8}{5 x}}}{3 x}$&$18$\\ \hline \end{longtable}"," ",0,"-3/x+1/3*exp(-8/5/x)/x","A"
3925,1,19,17,0.032000," ","int(1/25*((28*x+5)*exp(28/5*x)-5)*ln(x)+1/5*exp(28/5*x)+9/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\frac{{\mathrm e}^{\frac{28 x}{5}} \ln \left(x \right) x}{5}-\frac{x \ln \left(x \right)}{5}$&$19$\\ norman&$2 x +\frac{{\mathrm e}^{\frac{28 x}{5}} \ln \left(x \right) x}{5}-\frac{x \ln \left(x \right)}{5}$&$19$\\ risch&$\frac{\left(5 \,{\mathrm e}^{\frac{28 x}{5}} x -5 x \right) \ln \left(x \right)}{25}+2 x$&$20$\\ \hline \end{longtable}"," ",0,"2*x+1/5*exp(28/5*x)*ln(x)*x-1/5*x*ln(x)","A"
3926,1,35,22,0.047000," ","int((((-32*x^2-264*x-64)*ln(x)-128*x^3-992*x^2+272*x+160)*exp(ln(x)^2+(8*x-4)*ln(x)+16*x^2-16*x+4)+4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x -\frac{4 \left(x +8\right) x^{8 x -4} {\mathrm e}^{\ln \left(x \right)^{2}+4+16 x^{2}-16 x}}{x}$&$35$\\ default&$4 x +\frac{-4 x \,{\mathrm e}^{\ln \left(x \right)^{2}+\left(8 x -4\right) \ln \left(x \right)+16 x^{2}-16 x +4}-32 \,{\mathrm e}^{\ln \left(x \right)^{2}+\left(8 x -4\right) \ln \left(x \right)+16 x^{2}-16 x +4}}{x}$&$61$\\ norman&$\frac{4 x^{2}-4 x \,{\mathrm e}^{\ln \left(x \right)^{2}+\left(8 x -4\right) \ln \left(x \right)+16 x^{2}-16 x +4}-32 \,{\mathrm e}^{\ln \left(x \right)^{2}+\left(8 x -4\right) \ln \left(x \right)+16 x^{2}-16 x +4}}{x}$&$62$\\ \hline \end{longtable}"," ",0,"4*x-4*(x+8)/x*x^(8*x-4)*exp(ln(x)^2+4+16*x^2-16*x)","A"
3927,0,0,27,0.069000," ","int(((exp(ln(1/x/exp(1))+1-2*x)-x^2-10*x-26)*ln(exp(ln(1/x/exp(1))+1-2*x)-x^2-10*x-26)+(2*x+1)*exp(ln(1/x/exp(1))+1-2*x)+2*x^2+10*x)/(exp(ln(1/x/exp(1))+1-2*x)-x^2-10*x-26)/ln(exp(ln(1/x/exp(1))+1-2*x)-x^2-10*x-26)^2,x)","\[\int \frac{\left({\mathrm e}^{\ln \left(\frac{{\mathrm e}^{-1}}{x}\right)-2 x +1}-x^{2}-10 x -26\right) \ln \left({\mathrm e}^{\ln \left(\frac{{\mathrm e}^{-1}}{x}\right)-2 x +1}-x^{2}-10 x -26\right)+\left(2 x +1\right) {\mathrm e}^{\ln \left(\frac{{\mathrm e}^{-1}}{x}\right)-2 x +1}+2 x^{2}+10 x}{\left({\mathrm e}^{\ln \left(\frac{{\mathrm e}^{-1}}{x}\right)-2 x +1}-x^{2}-10 x -26\right) \ln \left({\mathrm e}^{\ln \left(\frac{{\mathrm e}^{-1}}{x}\right)-2 x +1}-x^{2}-10 x -26\right)^{2}}\, dx\]"," ",0,"int(((exp(ln(1/x/exp(1))+1-2*x)-x^2-10*x-26)*ln(exp(ln(1/x/exp(1))+1-2*x)-x^2-10*x-26)+(2*x+1)*exp(ln(1/x/exp(1))+1-2*x)+2*x^2+10*x)/(exp(ln(1/x/exp(1))+1-2*x)-x^2-10*x-26)/ln(exp(ln(1/x/exp(1))+1-2*x)-x^2-10*x-26)^2,x)","F"
3928,1,16,20,0.027000," ","int(-ln(1/5*exp(16)^2)+exp(ln(2)^2+x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-32+\ln \left(5\right)\right) x +{\mathrm e}^{\ln \left(2\right)^{2}+x -5}$&$16$\\ risch&$x \ln \left(5\right)+{\mathrm e}^{\ln \left(2\right)^{2}+x -5}-32 x$&$17$\\ default&$-\ln \left(\frac{{\mathrm e}^{32}}{5}\right) x +{\mathrm e}^{\ln \left(2\right)^{2}+x -5}$&$20$\\ derivativedivides&${\mathrm e}^{\ln \left(2\right)^{2}+x -5}-\ln \left(\frac{{\mathrm e}^{32}}{5}\right) \ln \left({\mathrm e}^{\ln \left(2\right)^{2}+x -5}\right)$&$26$\\ \hline \end{longtable}"," ",0,"(-32+ln(5))*x+exp(ln(2)^2+x-5)","A"
3929,1,50,22,0.019000," ","int((-2*x^2*ln(x)^2+(-6*x^3+2*x^2+8*x)*ln(x)-4*x^4+4*x^3+16*x^2-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} \ln \left(x \right)^{2}+\left(-2 x^{3}+2 x^{2}+8 x \right) \ln \left(x \right)-x^{4}+2 x^{3}+7 x^{2}-8 x -\ln \left(x \right)$&$50$\\ default&$-x^{2} \ln \left(x \right)^{2}+2 x^{2} \ln \left(x \right)+7 x^{2}-2 x^{3} \ln \left(x \right)+2 x^{3}-x^{4}+8 x \ln \left(x \right)-8 x -\ln \left(x \right)$&$52$\\ norman&$-x^{2} \ln \left(x \right)^{2}+2 x^{2} \ln \left(x \right)+7 x^{2}-2 x^{3} \ln \left(x \right)+2 x^{3}-x^{4}+8 x \ln \left(x \right)-8 x -\ln \left(x \right)$&$52$\\ \hline \end{longtable}"," ",0,"-x^2*ln(x)^2+(-2*x^3+2*x^2+8*x)*ln(x)-x^4+2*x^3+7*x^2-8*x-ln(x)","B"
3930,1,12,11,0.031000," ","int(16*exp(x)*exp(exp(x))/(18*exp(exp(x))+9*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{8 \ln \left(2 \,{\mathrm e}^{{\mathrm e}^{x}}+\ln \left(3\right)\right)}{9}$&$12$\\ default&$\frac{8 \ln \left(2 \,{\mathrm e}^{{\mathrm e}^{x}}+\ln \left(3\right)\right)}{9}$&$12$\\ risch&$\frac{8 \ln \left({\mathrm e}^{{\mathrm e}^{x}}+\frac{\ln \left(3\right)}{2}\right)}{9}$&$12$\\ norman&$\frac{8 \ln \left(18 \,{\mathrm e}^{{\mathrm e}^{x}}+9 \ln \left(3\right)\right)}{9}$&$14$\\ \hline \end{longtable}"," ",0,"8/9*ln(2*exp(exp(x))+ln(3))","A"
3931,1,22,21,0.190000," ","int((((50*x^3-6*x^2)*exp(1)^2-50*x)*exp(1/625*(625*x^2-150*x+9)*exp(1)^2)+50*x)/(25*exp(1/625*(625*x^2-150*x+9)*exp(1)^2)^2-50*exp(1/625*(625*x^2-150*x+9)*exp(1)^2)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}}{{\mathrm e}^{\frac{\left(25 x -3\right)^{2} {\mathrm e}^{2}}{625}}-1}$&$22$\\ norman&$-\frac{x^{2}}{{\mathrm e}^{\frac{\left(625 x^{2}-150 x +9\right) {\mathrm e}^{2}}{625}}-1}$&$27$\\ \hline \end{longtable}"," ",0,"-x^2/(exp(1/625*(25*x-3)^2*exp(2))-1)","A"
3932,1,40,32,0.221000," ","int((((-2*x^2-7*x-5)*ln(15/x)-6*x^3-7*x^2-6*x-5)*ln(1/4*x+1/4)+(x^2+5*x)*ln(15/x)-x^4-4*x^3+5*x^2)/(16*x^5+176*x^4+560*x^3+400*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(2 \ln \left(3\right)+2 \ln \left(5\right)+12 x -2 \ln \left(x \right)\right) \ln \left(\frac{x}{4}+\frac{1}{4}\right)}{32 \left(5+x \right) x}-\frac{\ln \left(x +1\right)}{16}$&$40$\\ \hline \end{longtable}"," ",0,"1/32*(2*ln(3)+2*ln(5)+12*x-2*ln(x))/(5+x)/x*ln(1/4*x+1/4)-1/16*ln(x+1)","A"
3933,1,40,31,0.347000," ","int(((-x^6+2*x^5-x^4)*exp(4)^2+(4*x^7-20*x^6+28*x^5-12*x^4+8*x^3-8*x^2)*exp(4)+24*x^7-84*x^6+96*x^5-100*x^4+96*x^3-48*x^2-16)/((x^6-2*x^5+x^4)*exp(4)^2+(12*x^6-24*x^5+12*x^4-8*x^3+8*x^2)*exp(4)+36*x^6-72*x^5+36*x^4-48*x^3+48*x^2+16)/exp((2*x^4-2*x^3)/((x^3-x^2)*exp(4)+6*x^3-6*x^2-4))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{-\frac{4 x^{3} \left(x -1\right)}{x^{3} {\mathrm e}^{4}-x^{2} {\mathrm e}^{4}+6 x^{3}-6 x^{2}-4}}$&$40$\\ gosper&$-x \,{\mathrm e}^{-\frac{4 x^{3} \left(x -1\right)}{x^{3} {\mathrm e}^{4}-x^{2} {\mathrm e}^{4}+6 x^{3}-6 x^{2}-4}}$&$42$\\ norman&$\frac{\left(\left(-{\mathrm e}^{4}-6\right) x^{4}+\left({\mathrm e}^{4}+6\right) x^{3}+4 x \right) {\mathrm e}^{-\frac{2 \left(2 x^{4}-2 x^{3}\right)}{\left(x^{3}-x^{2}\right) {\mathrm e}^{4}+6 x^{3}-6 x^{2}-4}}}{x^{3} {\mathrm e}^{4}-x^{2} {\mathrm e}^{4}+6 x^{3}-6 x^{2}-4}$&$92$\\ \hline \end{longtable}"," ",0,"-x*exp(-4*x^3*(x-1)/(x^3*exp(4)-x^2*exp(4)+6*x^3-6*x^2-4))","A"
3934,1,55,19,0.028000," ","int((2*exp(x)^2*x^3+(6*x^5+16*x^4-44*x^3-2*x^2+2*x)*exp(x)+36*x^6+36*x^5-280*x^4-102*x^3-48*x-2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-140 x^{2}-102 x +\frac{1}{x^{2}}+\frac{48}{x}+12 x^{3}+9 x^{4}+{\mathrm e}^{2 x}-\frac{2 \,{\mathrm e}^{x}}{x}+4 \,{\mathrm e}^{x} x -48 \,{\mathrm e}^{x}+6 \,{\mathrm e}^{x} x^{2}$&$55$\\ risch&$9 x^{4}+12 x^{3}-140 x^{2}-102 x +\frac{48 x +1}{x^{2}}+{\mathrm e}^{2 x}+\frac{2 \left(3 x^{3}+2 x^{2}-24 x -1\right) {\mathrm e}^{x}}{x}$&$55$\\ norman&$\frac{1+{\mathrm e}^{2 x} x^{2}+48 x -102 x^{3}-140 x^{4}+12 x^{5}+9 x^{6}-2 \,{\mathrm e}^{x} x -48 \,{\mathrm e}^{x} x^{2}+4 \,{\mathrm e}^{x} x^{3}+6 \,{\mathrm e}^{x} x^{4}}{x^{2}}$&$64$\\ \hline \end{longtable}"," ",0,"-140*x^2-102*x+1/x^2+48/x+12*x^3+9*x^4+exp(x)^2-2*exp(x)/x+4*exp(x)*x-48*exp(x)+6*exp(x)*x^2","B"
3935,1,5,10,0.010000," ","int(6/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$6 \ln \left(x \right)$&$5$\\ norman&$6 \ln \left(x \right)$&$5$\\ risch&$6 \ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"6*ln(x)","A"
3936,1,39,26,0.111000," ","int(((-160*x^3+800*x^2-1120*x-1440)*exp(5)*exp(4/(x-3))+(-40*x^4+260*x^3-460*x^2+60*x+180)*exp(5))/(x^4-6*x^3+9*x^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{20 \left(2 x -1\right) {\mathrm e}^{5-x}}{x}+\frac{160 \,{\mathrm e}^{-\frac{x^{2}-8 x +11}{x -3}}}{x}$&$39$\\ norman&$\frac{\left(-140 x \,{\mathrm e}^{5}+40 x^{2} {\mathrm e}^{5}-480 \,{\mathrm e}^{5} {\mathrm e}^{\frac{4}{x -3}}+160 x \,{\mathrm e}^{5} {\mathrm e}^{\frac{4}{x -3}}+60 \,{\mathrm e}^{5}\right) {\mathrm e}^{-x}}{x \left(x -3\right)}$&$56$\\ \hline \end{longtable}"," ",0,"20*(2*x-1)/x*exp(5-x)+160/x*exp(-(x^2-8*x+11)/(x-3))","A"
3937,1,31,34,0.037000," ","int((((5*x^3-5*x^2)*exp(x)-5*x^2)*ln(x)^4+((-120*x^4+120*x^3-160*x^2+160*x)*exp(x)-4*x^4+120*x^3+160*x)*ln(x)^2+8*x^4*ln(x)+(720*x^5-720*x^4+1920*x^3-1920*x^2+1280*x-1280)*exp(x)-720*x^4+128*x^3-1920*x^2-1280)/(5*x^4*ln(x)^4+(-120*x^5-160*x^3)*ln(x)^2+720*x^6+1920*x^4+1280*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}+1}{x}+\frac{4 x^{2}}{5 \left(-x \ln \left(x \right)^{2}+12 x^{2}+16\right)}$&$31$\\ \hline \end{longtable}"," ",0,"(exp(x)+1)/x+4/5*x^2/(-x*ln(x)^2+12*x^2+16)","A"
3938,1,16,17,0.020000," ","int(1/25*((-8*x^2+8*x)*ln(-2/5*x)-8*x)/exp(x)^2/ln(-2/5*x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-2 x} x^{2}}{25 \ln \left(-\frac{2 x}{5}\right)^{2}}$&$16$\\ \hline \end{longtable}"," ",0,"4/25/ln(-2/5*x)^2*exp(-2*x)*x^2","A"
3939,1,27,24,0.776000," ","int(((ln(x^3)-3)*exp(((-ln(3)+4)*ln(x^3)-x)/ln(x^3))-ln(x^3)^2)*exp(-exp(((-ln(3)+4)*ln(x^3)-x)/ln(x^3))-x-2)/ln(x^3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{{\mathrm e}^{\frac{4 \ln \left(x^{3}\right)-x}{\ln \left(x^{3}\right)}}}{3}-x -2}$&$27$\\ norman&${\mathrm e}^{-{\mathrm e}^{\frac{\left(-\ln \left(3\right)+4\right) \ln \left(x^{3}\right)-x}{\ln \left(x^{3}\right)}}-x -2}$&$32$\\ default&$\frac{\left(\ln \left(x^{3}\right)-3 \ln \left(x \right)\right) {\mathrm e}^{-{\mathrm e}^{\frac{\left(-\ln \left(3\right)+4\right) \ln \left(x^{3}\right)-x}{\ln \left(x^{3}\right)}}-x -2}+3 \ln \left(x \right) {\mathrm e}^{-{\mathrm e}^{\frac{\left(-\ln \left(3\right)+4\right) \ln \left(x^{3}\right)-x}{\ln \left(x^{3}\right)}}-x -2}}{\ln \left(x^{3}\right)}$&$85$\\ \hline \end{longtable}"," ",0,"exp(-1/3*exp((4*ln(x^3)-x)/ln(x^3))-x-2)","A"
3940,1,10,20,0.033000," ","int((2*x^2+96)/x^2/exp(24/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$2 x \,{\mathrm e}^{-\frac{24}{x^{2}}}$&$10$\\ default&$2 x \,{\mathrm e}^{-\frac{24}{x^{2}}}$&$10$\\ risch&$2 x \,{\mathrm e}^{-\frac{24}{x^{2}}}$&$10$\\ gosper&$2 x \,{\mathrm e}^{-\frac{24}{x^{2}}}$&$12$\\ norman&$2 x \,{\mathrm e}^{-\frac{24}{x^{2}}}$&$12$\\ meijerg&$-2 \sqrt{6}\, \left(-\frac{x \sqrt{6}\, {\mathrm e}^{-\frac{24}{x^{2}}}}{6}-2 \sqrt{\pi}\, \erf \left(\frac{2 \sqrt{6}}{x}\right)\right)-4 \sqrt{6}\, \sqrt{\pi}\, \erf \left(\frac{2 \sqrt{6}}{x}\right)$&$51$\\ \hline \end{longtable}"," ",0,"2/exp(1/x^2)^24*x","A"
3941,1,27,24,0.046000," ","int(((-210*x^3-105)*ln(x)+2*(-210*x^3-105)*ln(2)-2*x^5-2*x^3-x^2-105*x)/(105*x^2*ln(x)+210*x^2*ln(2)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{3}-1}{x}-\ln \left(\frac{x^{2}}{105}+2 \ln \left(2\right)+\ln \left(x \right)\right)$&$27$\\ norman&$\frac{-x^{3}+1}{x}-\ln \left(x^{2}+105 \ln \left(x \right)+210 \ln \left(2\right)\right)$&$28$\\ \hline \end{longtable}"," ",0,"-(x^3-1)/x-ln(1/105*x^2+2*ln(2)+ln(x))","A"
3942,1,41,30,0.273000," ","int(((3*x^3-2*x^2-x-3)*exp(4)*exp(x)+(7*x^2+6*x+6)*exp(4))*exp(1/4*((12*x^2+4*x+4)*exp(x)-13*x^3-28*x^2-12*x-8)/x^3)*exp(exp(1/4*((12*x^2+4*x+4)*exp(x)-13*x^3-28*x^2-12*x-8)/x^3))/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{4+{\mathrm e}^{\frac{12 \,{\mathrm e}^{x} x^{2}-13 x^{3}+4 \,{\mathrm e}^{x} x -28 x^{2}+4 \,{\mathrm e}^{x}-12 x -8}{4 x^{3}}}}$&$41$\\ \hline \end{longtable}"," ",0,"exp(4+exp(1/4*(12*exp(x)*x^2-13*x^3+4*exp(x)*x-28*x^2+4*exp(x)-12*x-8)/x^3))","A"
3943,1,12,18,0.104000," ","int(125/(256*ln(2)^2+4*(-40*x+8)*ln(2)+25*x^2-10*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25}{16 \left(\ln \left(2\right)-\frac{5 x}{16}+\frac{1}{16}\right)}$&$12$\\ gosper&$\frac{25}{16 \ln \left(2\right)-5 x +1}$&$14$\\ default&$-\frac{25}{-16 \ln \left(2\right)+5 x -1}$&$14$\\ norman&$\frac{25}{16 \ln \left(2\right)-5 x +1}$&$14$\\ meijerg&$-\frac{25 x}{\left(-\frac{16 \ln \left(2\right)}{5}-\frac{1}{5}\right) \left(1-\frac{5 x}{16 \ln \left(2\right)+1}\right) \left(16 \ln \left(2\right)+1\right)}$&$35$\\ \hline \end{longtable}"," ",0,"25/16/(ln(2)-5/16*x+1/16)","A"
3944,1,15,20,0.023000," ","int((3*x^2-16*x)/(x^3-8*x^2+10)/ln(1/5*x^3-8/5*x^2+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(\frac{1}{5} x^{3}-\frac{8}{5} x^{2}+2\right)\right)$&$15$\\ risch&$\ln \left(\ln \left(\frac{1}{5} x^{3}-\frac{8}{5} x^{2}+2\right)\right)$&$15$\\ \hline \end{longtable}"," ",0,"ln(ln(1/5*x^3-8/5*x^2+2))","A"
3945,1,247,26,0.151000," ","int((((-x^2-x)*ln(x)^3+(400*x+400)*ln(x))*ln((-x*ln(x)^2+400)/ln(x)^2)+(2*x^3-5*x)*ln(x)^3+(-800*x^2-400*x+1600)*ln(x)-800*x-800)/((x^2+x)*ln(x)^3+(-400*x-400)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(x \ln \left(x \right)^{2}-400\right)+2 x \ln \left(\ln \left(x \right)\right)+i \pi  x \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)^{2}-400\right)}{\ln \left(x \right)^{2}}\right)^{2}-\frac{i \pi  x \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)}{2}-i \pi  x +i \pi  x \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x \ln \left(x \right)^{2}-400\right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)^{2}-400\right)}{\ln \left(x \right)^{2}}\right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)^{2}-400\right)}{\ln \left(x \right)^{2}}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)^{2}-400\right)}{\ln \left(x \right)^{2}}\right)^{3}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x \ln \left(x \right)^{2}-400\right)\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(x \right)^{2}-400\right)}{\ln \left(x \right)^{2}}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}}{2}+x^{2}-x -3 \ln \left(x +1\right)$&$247$\\ \hline \end{longtable}"," ",0,"-x*ln(x*ln(x)^2-400)+2*x*ln(ln(x))+I*Pi*x*csgn(I/ln(x)^2*(x*ln(x)^2-400))^2-1/2*I*Pi*x*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-I*Pi*x+I*Pi*x*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+1/2*I*Pi*x*csgn(I*(x*ln(x)^2-400))*csgn(I/ln(x)^2)*csgn(I/ln(x)^2*(x*ln(x)^2-400))-1/2*I*Pi*x*csgn(I/ln(x)^2)*csgn(I/ln(x)^2*(x*ln(x)^2-400))^2-1/2*I*Pi*x*csgn(I/ln(x)^2*(x*ln(x)^2-400))^3-1/2*I*Pi*x*csgn(I*(x*ln(x)^2-400))*csgn(I/ln(x)^2*(x*ln(x)^2-400))^2-1/2*I*Pi*x*csgn(I*ln(x)^2)^3+x^2-x-3*ln(x+1)","C"
3946,0,0,37,0.013000," ","int(((180*x^5+252*x^4-756*x^3+324*x^2-256*x-768)*ln(3+x)-18*x^5+36*x^4-18*x^3+128*x)*ln(4096*ln(3+x)/(81*x^10-324*x^9+486*x^8-324*x^7-1071*x^6+2304*x^5-1152*x^4+4096*x^2))/(9*x^6+9*x^5-45*x^4+27*x^3-64*x^2-192*x)/ln(3+x),x)","\[\int \frac{\left(\left(180 x^{5}+252 x^{4}-756 x^{3}+324 x^{2}-256 x -768\right) \ln \left(3+x \right)-18 x^{5}+36 x^{4}-18 x^{3}+128 x \right) \ln \left(\frac{4096 \ln \left(3+x \right)}{81 x^{10}-324 x^{9}+486 x^{8}-324 x^{7}-1071 x^{6}+2304 x^{5}-1152 x^{4}+4096 x^{2}}\right)}{\left(9 x^{6}+9 x^{5}-45 x^{4}+27 x^{3}-64 x^{2}-192 x \right) \ln \left(3+x \right)}\, dx\]"," ",0,"int(((180*x^5+252*x^4-756*x^3+324*x^2-256*x-768)*ln(3+x)-18*x^5+36*x^4-18*x^3+128*x)*ln(4096*ln(3+x)/(81*x^10-324*x^9+486*x^8-324*x^7-1071*x^6+2304*x^5-1152*x^4+4096*x^2))/(9*x^6+9*x^5-45*x^4+27*x^3-64*x^2-192*x)/ln(3+x),x)","F"
3947,1,83,28,0.111000," ","int((-3*ln(x^2)+(-300*x^2+3)*exp(25*x^2-4)^2-3*ln(5)+21)/(ln(x^2)^2+(-2*exp(25*x^2-4)^2+2*ln(5)-2*x-10)*ln(x^2)+exp(25*x^2-4)^4+(-2*ln(5)+2*x+10)*exp(25*x^2-4)^2+ln(5)^2+(-2*x-10)*ln(5)+x^2+10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 x}{i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 \,{\mathrm e}^{2 \left(5 x -2\right) \left(5 x +2\right)}-2 \ln \left(5\right)+2 x -4 \ln \left(x \right)+10}$&$83$\\ \hline \end{longtable}"," ",0,"6*x/(I*Pi*csgn(I*x^2)*csgn(I*x)^2-2*I*Pi*csgn(I*x^2)^2*csgn(I*x)+I*Pi*csgn(I*x^2)^3+2*exp(2*(5*x-2)*(5*x+2))-2*ln(5)+2*x-4*ln(x)+10)","C"
3948,1,54,22,1.604000," ","int(((2*x+1)*ln(3/4*exp(x)*exp(x^2))^3+(6*x^2+3*x-2)*ln(3/4*exp(x)*exp(x^2))^2+(6*x^3+7*x^2)*ln(3/4*exp(x)*exp(x^2))+2*x^4+5*x^3+2*x^2-4*x-4)/(ln(3/4*exp(x)*exp(x^2))^3+3*x*ln(3/4*exp(x)*exp(x^2))^2+3*x^2*ln(3/4*exp(x)*exp(x^2))+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+x +\frac{-2 x^{3}-4 x^{2}-2 x \left(\ln \left(\frac{3 \,{\mathrm e}^{x} {\mathrm e}^{x^{2}}}{4}\right)-x^{2}-x \right)+1}{\left(\ln \left(\frac{3 \,{\mathrm e}^{x} {\mathrm e}^{x^{2}}}{4}\right)+x \right)^{2}}$&$54$\\ risch&$x^{2}+x -\frac{4 i \left(-i+\pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x +1\right) x}\right)-\pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x +1\right) x}\right)^{2}-\pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x +1\right) x}\right)^{2}+\pi  x \mathrm{csgn}\left(i {\mathrm e}^{\left(x +1\right) x}\right)^{3}+2 i \ln \left(3\right) x -4 i x \ln \left(2\right)+2 i x^{2}+2 i x \ln \left({\mathrm e}^{x}\right)+2 i x \ln \left({\mathrm e}^{x^{2}}\right)\right)}{\left(\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x +1\right) x}\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x +1\right) x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x +1\right) x}\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{\left(x +1\right) x}\right)^{3}+2 i \ln \left(3\right)-4 i \ln \left(2\right)+2 i x +2 i \ln \left({\mathrm e}^{x}\right)+2 i \ln \left({\mathrm e}^{x^{2}}\right)\right)^{2}}$&$249$\\ \hline \end{longtable}"," ",0,"x^2+x+2*(-x^3-2*x^2-x*(ln(3/4*exp(x)*exp(x^2))-x^2-x)+1/2)/(ln(3/4*exp(x)*exp(x^2))+x)^2","B"
3949,0,0,26,0.011000," ","int((((x-4)*ln(x)^2-8*ln(x))*(exp(1/2*x)/x^2)^(1/2)+4*x*ln(x)^2+(-8*x+16)*ln(x))/(4*exp(1/2*x)/x+(8*x^2-16*x)*(exp(1/2*x)/x^2)^(1/2)+4*x^3-16*x^2+16*x),x)","\[\int \frac{\left(\left(x -4\right) \ln \left(x \right)^{2}-8 \ln \left(x \right)\right) \sqrt{\frac{{\mathrm e}^{\frac{x}{2}}}{x^{2}}}+4 x \ln \left(x \right)^{2}+\left(-8 x +16\right) \ln \left(x \right)}{\frac{4 \,{\mathrm e}^{\frac{x}{2}}}{x}+\left(8 x^{2}-16 x \right) \sqrt{\frac{{\mathrm e}^{\frac{x}{2}}}{x^{2}}}+4 x^{3}-16 x^{2}+16 x}\, dx\]"," ",0,"int((((x-4)*ln(x)^2-8*ln(x))*(exp(1/2*x)/x^2)^(1/2)+4*x*ln(x)^2+(-8*x+16)*ln(x))/(4*exp(1/2*x)/x+(8*x^2-16*x)*(exp(1/2*x)/x^2)^(1/2)+4*x^3-16*x^2+16*x),x)","F"
3950,1,28,31,0.037000," ","int(1/5*((-5*x^5+3*x^3)*ln(2)+5*x^5+10*x^2-15*x-80)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x \ln \left(2\right)+x +\frac{1}{x^{3}}-\frac{1}{x^{2}}-\frac{3 \ln \left(2\right)}{5 x}+\frac{4}{x^{4}}$&$28$\\ norman&$\frac{4+x +\left(1-\ln \left(2\right)\right) x^{5}-x^{2}-\frac{3 x^{3} \ln \left(2\right)}{5}}{x^{4}}$&$30$\\ risch&$-x \ln \left(2\right)+x +\frac{-3 x^{3} \ln \left(2\right)-5 x^{2}+5 x +20}{5 x^{4}}$&$30$\\ gosper&$-\frac{5 x^{5} \ln \left(2\right)-5 x^{5}+3 x^{3} \ln \left(2\right)+5 x^{2}-5 x -20}{5 x^{4}}$&$35$\\ \hline \end{longtable}"," ",0,"-x*ln(2)+x+1/x^3-1/x^2-3/5*ln(2)/x+4/x^4","A"
3951,1,200,22,0.062000," ","int((256*(2*x+1)*ln(5)^8+128*(16*x+8)*ln(5)^7+64*(-12*x^2+48*x+28)*ln(5)^6+32*(-72*x^2+64*x+56)*ln(5)^5+16*(24*x^3-162*x^2+20*x+70)*ln(5)^4+8*(96*x^3-168*x^2-48*x+56)*ln(5)^3+4*(-20*x^4+128*x^3-72*x^2-64*x+28)*ln(5)^2+2*(-40*x^4+64*x^3-32*x+8)*ln(5)+6*x^5-15*x^4+8*x^3+6*x^2-6*x+1)*ln(x)+256*(x+1)*ln(5)^8+128*(8*x+8)*ln(5)^7+64*(-4*x^2+24*x+28)*ln(5)^6+32*(-24*x^2+32*x+56)*ln(5)^5+16*(6*x^3-54*x^2+10*x+70)*ln(5)^4+8*(24*x^3-56*x^2-24*x+56)*ln(5)^3+4*(-4*x^4+32*x^3-24*x^2-32*x+28)*ln(5)^2+2*(-8*x^4+16*x^3-16*x+8)*ln(5)+x^5-3*x^4+2*x^3+2*x^2-3*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{6} \ln \left(x \right)+\left(-16 \ln \left(5\right)-16 \ln \left(5\right)^{2}-3\right) x^{5} \ln \left(x \right)+\left(96 \ln \left(5\right)^{4}+192 \ln \left(5\right)^{3}+128 \ln \left(5\right)^{2}+32 \ln \left(5\right)+2\right) x^{4} \ln \left(x \right)+\left(-256 \ln \left(5\right)^{6}-768 \ln \left(5\right)^{5}-864 \ln \left(5\right)^{4}-448 \ln \left(5\right)^{3}-96 \ln \left(5\right)^{2}+2\right) x^{3} \ln \left(x \right)+\left(256 \ln \left(5\right)^{8}+1024 \ln \left(5\right)^{7}+1792 \ln \left(5\right)^{6}+1792 \ln \left(5\right)^{5}+1120 \ln \left(5\right)^{4}+448 \ln \left(5\right)^{3}+112 \ln \left(5\right)^{2}+16 \ln \left(5\right)+1\right) x \ln \left(x \right)+\left(-32 \ln \left(5\right)+256 \ln \left(5\right)^{8}+1024 \ln \left(5\right)^{7}+160 \ln \left(5\right)^{4}-192 \ln \left(5\right)^{3}-128 \ln \left(5\right)^{2}+1536 \ln \left(5\right)^{6}+1024 \ln \left(5\right)^{5}-3\right) x^{2} \ln \left(x \right)$&$200$\\ risch&$x \left(1-3 x +128 x^{3} \ln \left(5\right)^{2}+1024 \ln \left(5\right)^{7}+1792 \ln \left(5\right)^{6}+1792 \ln \left(5\right)^{5}+256 \ln \left(5\right)^{8}-768 x^{2} \ln \left(5\right)^{5}+1120 \ln \left(5\right)^{4}+448 \ln \left(5\right)^{3}+16 \ln \left(5\right)+112 \ln \left(5\right)^{2}+x^{5}-3 x^{4}+2 x^{3}+2 x^{2}+1536 x \ln \left(5\right)^{6}+192 x^{3} \ln \left(5\right)^{3}+160 x \ln \left(5\right)^{4}-32 x \ln \left(5\right)-96 x^{2} \ln \left(5\right)^{2}+32 x^{3} \ln \left(5\right)+96 x^{3} \ln \left(5\right)^{4}+256 \ln \left(5\right)^{8} x +1024 \ln \left(5\right)^{7} x -256 \ln \left(5\right)^{6} x^{2}+1024 \ln \left(5\right)^{5} x -864 \ln \left(5\right)^{4} x^{2}-192 \ln \left(5\right)^{3} x -16 x^{4} \ln \left(5\right)^{2}-128 x \ln \left(5\right)^{2}-16 x^{4} \ln \left(5\right)-448 x^{2} \ln \left(5\right)^{3}\right) \ln \left(x \right)$&$223$\\ default&$-96 x^{3} \ln \left(5\right)^{2} \ln \left(x \right)-3 x^{2} \ln \left(x \right)+2 x^{3} \ln \left(x \right)+x^{6} \ln \left(x \right)+112 \ln \left(x \right) \ln \left(5\right)^{2} x +448 \ln \left(x \right) \ln \left(5\right)^{3} x -128 \ln \left(x \right) \ln \left(5\right)^{2} x^{2}+1120 \ln \left(x \right) \ln \left(5\right)^{4} x -3 x^{5} \ln \left(x \right)+1024 \ln \left(x \right) \ln \left(5\right)^{7} x +1536 \ln \left(x \right) \ln \left(5\right)^{6} x^{2}+1792 \ln \left(x \right) \ln \left(5\right)^{6} x +1024 \ln \left(x \right) \ln \left(5\right)^{5} x^{2}-864 \ln \left(x \right) \ln \left(5\right)^{4} x^{3}+1792 \ln \left(x \right) \ln \left(5\right)^{5} x +160 \ln \left(x \right) \ln \left(5\right)^{4} x^{2}-448 \ln \left(x \right) \ln \left(5\right)^{3} x^{3}+128 \ln \left(x \right) \ln \left(5\right)^{2} x^{4}-192 \ln \left(x \right) \ln \left(5\right)^{3} x^{2}+32 \ln \left(x \right) \ln \left(5\right) x^{4}-16 \ln \left(5\right) \ln \left(x \right) x^{5}+192 \ln \left(5\right)^{3} x^{4} \ln \left(x \right)-16 \ln \left(5\right)^{2} \ln \left(x \right) x^{5}-768 \ln \left(5\right)^{5} \ln \left(x \right) x^{3}+96 \ln \left(5\right)^{4} x^{4} \ln \left(x \right)+256 \ln \left(5\right)^{8} \ln \left(x \right) x^{2}+1024 \ln \left(5\right)^{7} \ln \left(x \right) x^{2}-256 \ln \left(5\right)^{6} \ln \left(x \right) x^{3}+2 x^{4} \ln \left(x \right)+x \ln \left(x \right)+256 x \ln \left(5\right)^{8} \ln \left(x \right)+16 x \ln \left(5\right) \ln \left(x \right)-32 x^{2} \ln \left(5\right) \ln \left(x \right)$&$313$\\ \hline \end{longtable}"," ",0,"x^6*ln(x)+(-16*ln(5)-16*ln(5)^2-3)*x^5*ln(x)+(96*ln(5)^4+192*ln(5)^3+128*ln(5)^2+32*ln(5)+2)*x^4*ln(x)+(-256*ln(5)^6-768*ln(5)^5-864*ln(5)^4-448*ln(5)^3-96*ln(5)^2+2)*x^3*ln(x)+(256*ln(5)^8+1024*ln(5)^7+1792*ln(5)^6+1792*ln(5)^5+1120*ln(5)^4+448*ln(5)^3+112*ln(5)^2+16*ln(5)+1)*x*ln(x)+(-32*ln(5)+256*ln(5)^8+1024*ln(5)^7+160*ln(5)^4-192*ln(5)^3-128*ln(5)^2+1536*ln(5)^6+1024*ln(5)^5-3)*x^2*ln(x)","B"
3952,1,13,10,0.017000," ","int(ln(3/125*x^3)-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\frac{3 x^{3}}{125}\right)-5 x$&$13$\\ risch&$x \ln \left(\frac{3 x^{3}}{125}\right)-5 x$&$13$\\ default&$-5 x -3 x \ln \left(5\right)+x \ln \left(3\right)+x \ln \left(x^{3}\right)$&$20$\\ \hline \end{longtable}"," ",0,"x*ln(3/125*x^3)-5*x","A"
3953,1,36,27,0.051000," ","int(((-160*x-800)*exp(5)-320*x^4+1920*x^3+19200*x^2+25600*x)/(x^3-15*x^2+75*x-125)/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{160 \left(-x^{4}-8 x^{3}+x \,{\mathrm e}^{5}-160 x +400\right) {\mathrm e}^{-5}}{x^{2}-10 x +25}$&$36$\\ risch&$-160 x^{2} {\mathrm e}^{-5}-2880 x \,{\mathrm e}^{-5}+\frac{{\mathrm e}^{-5} \left(\left(-201600+160 \,{\mathrm e}^{5}\right) x +684000\right)}{x^{2}-10 x +25}$&$37$\\ default&${\mathrm e}^{-5} \left(-160 x^{2}-2880 x -\frac{160 \left(1260-{\mathrm e}^{5}\right)}{x -5}-\frac{80 \left(-10 \,{\mathrm e}^{5}+4050\right)}{\left(x -5\right)^{2}}\right)$&$41$\\ norman&$\frac{160 \left({\mathrm e}^{5}-160\right) {\mathrm e}^{-5} x -1280 \,{\mathrm e}^{-5} x^{3}-160 \,{\mathrm e}^{-5} x^{4}+64000 \,{\mathrm e}^{-5}}{\left(x -5\right)^{2}}$&$43$\\ \hline \end{longtable}"," ",0,"160*(-x^4-8*x^3+x*exp(5)-160*x+400)/exp(5)/(x^2-10*x+25)","A"
3954,1,30,22,0.249000," ","int(((8*x^3-6*x^2+8*x)*ln(1/4*(12*x^2-9*x+12)/x)^2+(-4*x^2+3*x-4)*exp(5)*ln(1/4*(12*x^2-9*x+12)/x)+(4*x^2-4)*exp(5))/(20*x^2-15*x+20)/ln(1/4*(12*x^2-9*x+12)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{5}-\frac{x \,{\mathrm e}^{5}}{5 \ln \left(\frac{12 x^{2}-9 x +12}{4 x}\right)}$&$30$\\ norman&$\frac{-\frac{x \,{\mathrm e}^{5}}{5}+\frac{x^{2} \ln \left(\frac{12 x^{2}-9 x +12}{4 x}\right)}{5}}{\ln \left(\frac{12 x^{2}-9 x +12}{4 x}\right)}$&$47$\\ \hline \end{longtable}"," ",0,"1/5*x^2-1/5*x*exp(5)/ln(1/4*(12*x^2-9*x+12)/x)","A"
3955,1,151,31,0.158000," ","int((((-3*x^3+3*x^2)*ln(x)^2+12*ln(2)*ln(x))*ln(((-2*x^3+2*x^2)*ln(x)+8*ln(2))/ln(x))*ln(ln(((-2*x^3+2*x^2)*ln(x)+8*ln(2))/ln(x)))+(-9*x^3+6*x^2)*ln(x)^2-12*ln(2))/((x^5-x^4)*ln(x)^2-4*x^2*ln(2)*ln(x))/ln(((-2*x^3+2*x^2)*ln(x)+8*ln(2))/ln(x))/ln(ln(((-2*x^3+2*x^2)*ln(x)+8*ln(2))/ln(x)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{x \ln \left(3 \ln \left(2\right)-\ln \left(\ln \left(x \right)\right)+\ln \left(-\frac{x^{3} \ln \left(x \right)}{4}+\frac{x^{2} \ln \left(x \right)}{4}+\ln \left(2\right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(-\frac{x^{3} \ln \left(x \right)}{4}+\frac{x^{2} \ln \left(x \right)}{4}+\ln \left(2\right)\right)}{\ln \left(x \right)}\right) \left(-\mathrm{csgn}\left(\frac{i \left(-\frac{x^{3} \ln \left(x \right)}{4}+\frac{x^{2} \ln \left(x \right)}{4}+\ln \left(2\right)\right)}{\ln \left(x \right)}\right)+\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(-\frac{x^{3} \ln \left(x \right)}{4}+\frac{x^{2} \ln \left(x \right)}{4}+\ln \left(2\right)\right)}{\ln \left(x \right)}\right)+\mathrm{csgn}\left(i \left(-\frac{x^{3} \ln \left(x \right)}{4}+\frac{x^{2} \ln \left(x \right)}{4}+\ln \left(2\right)\right)\right)\right)}{2}\right)}$&$151$\\ \hline \end{longtable}"," ",0,"3/x/ln(3*ln(2)-ln(ln(x))+ln(-1/4*x^3*ln(x)+1/4*x^2*ln(x)+ln(2))-1/2*I*Pi*csgn(I/ln(x)*(-1/4*x^3*ln(x)+1/4*x^2*ln(x)+ln(2)))*(-csgn(I/ln(x)*(-1/4*x^3*ln(x)+1/4*x^2*ln(x)+ln(2)))+csgn(I/ln(x)))*(-csgn(I/ln(x)*(-1/4*x^3*ln(x)+1/4*x^2*ln(x)+ln(2)))+csgn(I*(-1/4*x^3*ln(x)+1/4*x^2*ln(x)+ln(2)))))","C"
3956,1,52,30,0.094000," ","int(((-40*x*exp(x+1)+40*x^2+100*x)*ln(-4*exp(x+1)+4*x+10)^2+(((40*x^2+80*x)*exp(x)-40*x^2)*exp(x+1)+(-40*x^3-180*x^2-200*x)*exp(x)+40*x^2)*ln(-4*exp(x+1)+4*x+10)+((-40*x^2-40*x)*exp(x)^2+40*exp(x)*x^2)*exp(x+1)+(40*x^3+140*x^2+100*x)*exp(x)^2-40*exp(x)*x^2)/((2*x^4*exp(x+1)-2*x^5-5*x^4)*ln(-4*exp(x+1)+4*x+10)^4+(-8*x^4*exp(x)*exp(x+1)+(8*x^5+20*x^4)*exp(x))*ln(-4*exp(x+1)+4*x+10)^3+((12*exp(x)^2*x^4+20*x^2)*exp(x+1)+(-12*x^5-30*x^4)*exp(x)^2-20*x^3-50*x^2)*ln(-4*exp(x+1)+4*x+10)^2+((-8*x^4*exp(x)^3-40*exp(x)*x^2)*exp(x+1)+(8*x^5+20*x^4)*exp(x)^3+(40*x^3+100*x^2)*exp(x))*ln(-4*exp(x+1)+4*x+10)+(2*x^4*exp(x)^4+20*exp(x)^2*x^2+50)*exp(x+1)+(-2*x^5-5*x^4)*exp(x)^4+(-20*x^3-50*x^2)*exp(x)^2-50*x-125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10}{{\mathrm e}^{2 x} x^{2}-2 \ln \left(-4 \,{\mathrm e}^{x +1}+4 x +10\right) {\mathrm e}^{x} x^{2}+\ln \left(-4 \,{\mathrm e}^{x +1}+4 x +10\right)^{2} x^{2}+5}$&$52$\\ \hline \end{longtable}"," ",0,"10/(exp(2*x)*x^2-2*ln(-4*exp(x+1)+4*x+10)*exp(x)*x^2+ln(-4*exp(x+1)+4*x+10)^2*x^2+5)","A"
3957,1,16,28,0.022000," ","int(((-10*x^2-10*x)*exp(x)+15)/(exp(x)*x^2-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-5 x -5 \ln \left({\mathrm e}^{x} x^{2}-3\right)$&$16$\\ risch&$-5 x -10 \ln \left(x \right)-5 \ln \left({\mathrm e}^{x}-\frac{3}{x^{2}}\right)$&$20$\\ \hline \end{longtable}"," ",0,"-5*x-5*ln(exp(x)*x^2-3)","A"
3958,1,29,20,0.057000," ","int(1/13*(-125*ln((x^3*exp(5)^2+2*x^3*exp(5)+x^3)/exp(5)^2)^2+750*ln((x^3*exp(5)^2+2*x^3*exp(5)+x^3)/exp(5)^2))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{125 \ln \left(\left(x^{3} {\mathrm e}^{10}+2 x^{3} {\mathrm e}^{5}+x^{3}\right) {\mathrm e}^{-10}\right)^{2}}{13 x}$&$29$\\ norman&$\frac{125 \ln \left(\left(x^{3} {\mathrm e}^{10}+2 x^{3} {\mathrm e}^{5}+x^{3}\right) {\mathrm e}^{-10}\right)^{2}}{13 x}$&$33$\\ default&$\frac{250 \ln \left({\mathrm e}^{10}+2 \,{\mathrm e}^{5}+1\right) \ln \left(x^{3}\right)}{13 x}-\frac{2500 \ln \left({\mathrm e}^{10}+2 \,{\mathrm e}^{5}+1\right)}{13 x}-\frac{250 \ln \left(x^{3}\right)}{x}+\frac{10250}{13 x}+\frac{\frac{2250}{13}+\frac{125 \ln \left(x^{3}\right)^{2}}{13}+\frac{750 \ln \left(x^{3}\right)}{13}}{x}+\frac{125 \ln \left({\mathrm e}^{10}+2 \,{\mathrm e}^{5}+1\right)^{2}}{13 x}$&$101$\\ \hline \end{longtable}"," ",0,"125/13*ln((x^3*exp(10)+2*x^3*exp(5)+x^3)*exp(-10))^2/x","A"
3959,1,95,28,0.541000," ","int(1/2*((-2*x*exp(x)^2*ln(x^2)-2*x*ln(2)*exp(x)^3+(2*(2*x-1)*ln(2)-4*x)*exp(x)^2)*exp(1/2*(-2*x*ln(x^2)-2*exp(x)*ln(2)+6*ln(2))/ln(2))+2*(10*x-5)*ln(2)*exp(x)^2)/x^2/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \,{\mathrm e}^{2 x}}{x}+\frac{{\mathrm e}^{-\frac{-i x \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i x \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i x \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+4 x \ln \left(x \right)+2 \,{\mathrm e}^{x} \ln \left(2\right)-4 x \ln \left(2\right)-6 \ln \left(2\right)}{2 \ln \left(2\right)}}}{x}$&$95$\\ \hline \end{longtable}"," ",0,"5*exp(2*x)/x+1/x*exp(-1/2*(-I*x*Pi*csgn(I*x^2)^3+2*I*x*Pi*csgn(I*x^2)^2*csgn(I*x)-I*x*Pi*csgn(I*x^2)*csgn(I*x)^2+4*x*ln(x)+2*exp(x)*ln(2)-4*x*ln(2)-6*ln(2))/ln(2))","C"
3960,1,4425,60,13.951000," ","int((((128*x^2*exp(x^2+5*x)+512*x^3)*ln((exp(x^2+5*x)+4*x)/x)^2+(32*x^2*exp(x^2+5*x)+128*x^3)*ln((exp(x^2+5*x)+4*x)/x))*ln((4*ln((exp(x^2+5*x)+4*x)/x)+1)/ln((exp(x^2+5*x)+4*x)/x))^3+((-512*x*exp(x^2+5*x)-2048*x^2)*ln((exp(x^2+5*x)+4*x)/x)^2+(-128*x*exp(x^2+5*x)-512*x^2)*ln((exp(x^2+5*x)+4*x)/x))*ln((4*ln((exp(x^2+5*x)+4*x)/x)+1)/ln((exp(x^2+5*x)+4*x)/x))^2+(-256*x^3-640*x^2+128*x)*exp(x^2+5*x)*ln((4*ln((exp(x^2+5*x)+4*x)/x)+1)/ln((exp(x^2+5*x)+4*x)/x))+(1024*x^2+2560*x-512)*exp(x^2+5*x))/((4*x*exp(x^2+5*x)+16*x^2)*ln((exp(x^2+5*x)+4*x)/x)^2+(x*exp(x^2+5*x)+4*x^2)*ln((exp(x^2+5*x)+4*x)/x))/ln((4*ln((exp(x^2+5*x)+4*x)/x)+1)/ln((exp(x^2+5*x)+4*x)/x))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$4425$\\ \hline \end{longtable}"," ",0,"16*x^2-256*I*(-4*I+Pi*x*csgn(I/(2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))*csgn(I*(1/2*I+2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))*csgn(I/(2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x))*(1/2*I+2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))-Pi*x*csgn(I/(2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))*csgn(I/(2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x))*(1/2*I+2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))^2-Pi*x*csgn(I*(1/2*I+2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))*csgn(I/(2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x))*(1/2*I+2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))^2+Pi*x*csgn(I/(2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x))*(1/2*I+2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))^3+4*I*ln(2)*x-2*I*x*ln(2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x))+2*I*x*ln(1/2*I+2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))/(Pi*csgn(I/(2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))*csgn(I*(1/2*I+2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))*csgn(I/(2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x))*(1/2*I+2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))-Pi*csgn(I/(2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))*csgn(I/(2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x))*(1/2*I+2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))^2-Pi*csgn(I*(1/2*I+2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))*csgn(I/(2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x))*(1/2*I+2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))^2+Pi*csgn(I/(2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x))*(1/2*I+2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))^3+4*I*ln(2)-2*I*ln(2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x))+2*I*ln(1/2*I+2*I*ln(1/4*exp((5+x)*x)+x)+Pi*csgn(I/x*(1/4*exp((5+x)*x)+x))^3+Pi*csgn(I/x)*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))+4*I*ln(2)-Pi*csgn(I/x)*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-Pi*csgn(I*(1/4*exp((5+x)*x)+x))*csgn(I/x*(1/4*exp((5+x)*x)+x))^2-2*I*ln(x)))^2","C"
3961,1,33,32,0.042000," ","int((((-6*x-6)*ln(x)+3*x^2*exp(2*x+2)+6*x^3-6*x^2+21*x+27)*exp((ln(x)-x^2+x-4)/x^2/exp(2*x+2))-6*x^3*exp(2*x+2))/(x^4*exp(2*x+2)*exp((ln(x)-x^2+x-4)/x^2/exp(2*x+2))^2-2*x^5*exp(2*x+2)*exp((ln(x)-x^2+x-4)/x^2/exp(2*x+2))+x^6*exp(2*x+2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{x \left(x -{\mathrm e}^{\frac{\left(\ln \left(x \right)-x^{2}+x -4\right) {\mathrm e}^{-2 x -2}}{x^{2}}}\right)}$&$33$\\ \hline \end{longtable}"," ",0,"3/x/(x-exp((ln(x)-x^2+x-4)/x^2*exp(-2*x-2)))","A"
3962,1,24,19,0.084000," ","int((-100*exp(2)*ln(x)^2+(-800*x*exp(2)^2+100*exp(2))*ln(x)+800*x*exp(2)^2)/(ln(x)^3+30*x*exp(2)*ln(x)^2+300*x^2*exp(2)^2*ln(x)+1000*x^3*exp(2)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{100 \left(9 \,{\mathrm e}^{2} x +\ln \left(x \right)\right) {\mathrm e}^{2} x}{\left(10 \,{\mathrm e}^{2} x +\ln \left(x \right)\right)^{2}}$&$24$\\ norman&$\frac{-900 x^{2} {\mathrm e}^{4}-100 x \,{\mathrm e}^{2} \ln \left(x \right)}{\left(10 \,{\mathrm e}^{2} x +\ln \left(x \right)\right)^{2}}$&$29$\\ \hline \end{longtable}"," ",0,"-100*(9*exp(2)*x+ln(x))*exp(2)*x/(10*exp(2)*x+ln(x))^2","A"
3963,1,12,18,0.014000," ","int((-ln(x)+4*x^5-4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5+x^{5}+\ln \left(x \right)}{x}$&$12$\\ default&$x^{4}+\frac{\ln \left(x \right)}{x}+\frac{5}{x}$&$16$\\ risch&$\frac{\ln \left(x \right)}{x}+\frac{x^{5}+5}{x}$&$17$\\ \hline \end{longtable}"," ",0,"(5+x^5+ln(x))/x","A"
3964,1,26,18,0.084000," ","int(1/16*(48*x^2*exp(3/4)-16*x^2-3)*exp(1/16*(16*x*exp(4)+48*x^2*exp(3/4)-16*x^2+3)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{16 x \,{\mathrm e}^{4}+48 x^{2} {\mathrm e}^{\frac{3}{4}}-16 x^{2}+3}{16 x}}$&$26$\\ norman&${\mathrm e}^{\frac{16 x \,{\mathrm e}^{4}+48 x^{2} {\mathrm e}^{\frac{3}{4}}-16 x^{2}+3}{16 x}}$&$26$\\ risch&${\mathrm e}^{\frac{16 x \,{\mathrm e}^{4}+48 x^{2} {\mathrm e}^{\frac{3}{4}}-16 x^{2}+3}{16 x}}$&$26$\\ \hline \end{longtable}"," ",0,"exp(1/16*(16*x*exp(4)+48*x^2*exp(3/4)-16*x^2+3)/x)","A"
3965,1,14,18,0.050000," ","int((4*x*ln(5)-18*x)/(2*x^2*ln(5)-9*x^2-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-8+\left(2 \ln \left(5\right)-9\right) x^{2}\right)$&$14$\\ derivativedivides&$\ln \left(2 x^{2} \ln \left(5\right)-9 x^{2}-8\right)$&$16$\\ default&$\ln \left(2 x^{2} \ln \left(5\right)-9 x^{2}-8\right)$&$16$\\ norman&$\ln \left(2 x^{2} \ln \left(5\right)-9 x^{2}-8\right)$&$16$\\ meijerg&$-\frac{\left(4 \ln \left(5\right)-18\right) \ln \left(1+\frac{x^{2} \left(-2 \ln \left(5\right)+9\right)}{8}\right)}{2 \left(-2 \ln \left(5\right)+9\right)}$&$31$\\ \hline \end{longtable}"," ",0,"ln(-8+(2*ln(5)-9)*x^2)","A"
3966,1,38,31,0.036000," ","int((((12*x^2+8)*exp(x^2)-60*x^2-40)*ln(5-exp(x^2))^2+((-120*x^2-60*x-80)*exp(x^2)+600*x^2+300*x+400)*ln(5-exp(x^2))+(-60*x^3+300*x^2+340*x+200)*exp(x^2)-1500*x^2-1500*x-1000)/(((9*x^4-12*x^2+4)*exp(x^2)-45*x^4+60*x^2-20)*ln(5-exp(x^2))^2+((-90*x^4+120*x^2-40)*exp(x^2)+450*x^4-600*x^2+200)*ln(5-exp(x^2))+(225*x^4-300*x^2+100)*exp(x^2)-1125*x^4+1500*x^2-500),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x}{3 x^{2}-2}+\frac{10}{\left(3 x^{2}-2\right) \left(\ln \left(5-{\mathrm e}^{x^{2}}\right)-5\right)}$&$38$\\ \hline \end{longtable}"," ",0,"-4*x/(3*x^2-2)+10/(3*x^2-2)/(ln(5-exp(x^2))-5)","A"
3967,1,33,26,0.142000," ","int(((x-1)*exp(x)*ln(2*ln(5)^2+4*ln(5))+(-4*x+4)*exp(x))/(x^2*ln(2*ln(5)^2+4*ln(5))-6*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(\ln \left(2\right)+\ln \left(\ln \left(5\right)\right)+\ln \left(2+\ln \left(5\right)\right)-4\right) {\mathrm e}^{x}}{x \left(\ln \left(2\right)+\ln \left(\ln \left(5\right)\right)+\ln \left(2+\ln \left(5\right)\right)-6\right)}$&$33$\\ gosper&$\frac{{\mathrm e}^{x} \left(\ln \left(2 \ln \left(5\right)^{2}+4 \ln \left(5\right)\right)-4\right)}{x \left(\ln \left(2 \ln \left(5\right)^{2}+4 \ln \left(5\right)\right)-6\right)}$&$37$\\ norman&$\frac{\left(\ln \left(2\right)+\ln \left(\ln \left(5\right)^{2}+2 \ln \left(5\right)\right)-4\right) {\mathrm e}^{x}}{\left(\ln \left(2\right)+\ln \left(\ln \left(5\right)^{2}+2 \ln \left(5\right)\right)-6\right) x}$&$37$\\ default&$-\frac{4 \,{\mathrm e}^{x}}{x \left(\ln \left(2\right)+\ln \left(\ln \left(5\right)^{2}+2 \ln \left(5\right)\right)-6\right)}+\frac{\ln \left(2\right) {\mathrm e}^{x}}{\left(\ln \left(2\right)+\ln \left(\ln \left(5\right)^{2}+2 \ln \left(5\right)\right)-6\right) x}+\frac{\ln \left(\ln \left(5\right)^{2}+2 \ln \left(5\right)\right) {\mathrm e}^{x}}{\left(\ln \left(2\right)+\ln \left(\ln \left(5\right)^{2}+2 \ln \left(5\right)\right)-6\right) x}$&$81$\\ meijerg&$\frac{\left(\ln \left(2 \ln \left(5\right)^{2}+4 \ln \left(5\right)\right)-4\right) \left(\ln \left(x \right)+i \pi -\ln \left(-x \right)-\expIntegralEi \left(1, -x \right)\right)}{\ln \left(2 \ln \left(5\right)^{2}+4 \ln \left(5\right)\right)-6}-\frac{\left(-\ln \left(2 \ln \left(5\right)^{2}+4 \ln \left(5\right)\right)+4\right) \left(\frac{1}{x}+1-\ln \left(x \right)-i \pi -\frac{2 x +2}{2 x}+\frac{{\mathrm e}^{x}}{x}+\ln \left(-x \right)+\expIntegralEi \left(1, -x \right)\right)}{\ln \left(2 \ln \left(5\right)^{2}+4 \ln \left(5\right)\right)-6}$&$125$\\ \hline \end{longtable}"," ",0,"(ln(2)+ln(ln(5))+ln(2+ln(5))-4)/x/(ln(2)+ln(ln(5))+ln(2+ln(5))-6)*exp(x)","A"
3968,1,27,24,0.031000," ","int(((-2*x^3+9*x^2-9*x+1)*exp(x)+58*x^3-290*x^2+290*x-29)/((x^2-x)*exp(x)-29*x^2+29*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x^{2}+8 x -\ln \left(x \right)-\ln \left(x -1\right)-\ln \left({\mathrm e}^{x}-29\right)$&$27$\\ risch&$-x^{2}+8 x -\ln \left(x^{2}-x \right)-\ln \left({\mathrm e}^{x}-29\right)$&$27$\\ \hline \end{longtable}"," ",0,"-x^2+8*x-ln(x)-ln(x-1)-ln(exp(x)-29)","A"
3969,1,30,31,0.528000," ","int(((27*x^3+108*x^2+54*x-216)*exp(4/x)+(-27*x^3-54*x)*ln(2)-54*x^5+216*x^3-216*x)/(x^3*exp(4/x)^2+(-2*x^3*ln(2)+4*x^5-8*x^3)*exp(4/x)+x^3*ln(2)^2+(-4*x^5+8*x^3)*ln(2)+4*x^7-16*x^5+16*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{27 \left(x^{2}-2\right)}{x \left(-2 x^{2}+\ln \left(2\right)-{\mathrm e}^{\frac{4}{x}}+4\right)}$&$30$\\ norman&$\frac{-27 x^{3}+54 x}{x^{2} \left(-2 x^{2}+\ln \left(2\right)-{\mathrm e}^{\frac{4}{x}}+4\right)}$&$33$\\ \hline \end{longtable}"," ",0,"-27*(x^2-2)/x/(-2*x^2+ln(2)-exp(4/x)+4)","A"
3970,1,37,17,0.025000," ","int(ln(x^2)^2+(4*x-6)*ln(x^2)+3*x^2-16*x+5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$25 x +x \ln \left(x^{2}\right)^{2}-10 x \ln \left(x^{2}\right)+2 x^{2} \ln \left(x^{2}\right)-10 x^{2}+x^{3}$&$37$\\ norman&$25 x +x \ln \left(x^{2}\right)^{2}-10 x \ln \left(x^{2}\right)+2 x^{2} \ln \left(x^{2}\right)-10 x^{2}+x^{3}$&$37$\\ risch&$25 x +x \ln \left(x^{2}\right)^{2}-10 x \ln \left(x^{2}\right)+2 x^{2} \ln \left(x^{2}\right)-10 x^{2}+x^{3}$&$37$\\ \hline \end{longtable}"," ",0,"25*x+x*ln(x^2)^2-10*x*ln(x^2)+2*x^2*ln(x^2)-10*x^2+x^3","B"
3971,1,34,21,0.058000," ","int(((x^5+9)*ln(x^5+9)^2+((-6*x^7-54*x^2)*ln(2)+10*x^5)*ln(x^5+9)+(5*x^9+45*x^4)*ln(2)^2-10*x^7*ln(2))/(x^5+9)/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{5}-\frac{2 x^{3} \ln \left(x^{5}+9\right)}{\ln \left(2\right)}+\frac{x \ln \left(x^{5}+9\right)^{2}}{\ln \left(2\right)^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"x^5-2/ln(2)*x^3*ln(x^5+9)+1/ln(2)^2*x*ln(x^5+9)^2","A"
3972,1,16,21,0.051000," ","int(((-3*x^2+18*x-27)*exp(3*ln(x)-16)+3*x)/(x^3-6*x^2+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-16} x^{3}-\frac{3}{x -3}$&$16$\\ default&$-\frac{3}{x -3}-{\mathrm e}^{3 \ln \left(x \right)-16}$&$18$\\ norman&$\frac{3 \,{\mathrm e}^{-16} x^{3}-{\mathrm e}^{-16} x^{4}-3}{x -3}$&$27$\\ \hline \end{longtable}"," ",0,"-exp(-16)*x^3-3/(x-3)","A"
3973,1,57,21,0.059000," ","int(1/8*((32*x^5+16*x^4)*exp(x)^4+((-32*x^4-16*x^3)*exp(4)+32*x^5+96*x^4+8*x^3)*exp(x)^2+(-16*x^3-12*x)*exp(4)+16*x^4+32*x^3+24*x-9)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x \,{\mathrm e}^{4}+x^{2}+4 x +\frac{\left(12 \,{\mathrm e}^{4}-24\right) x +\frac{9}{2}}{8 x^{2}}+x^{2} {\mathrm e}^{4 x}+\frac{\left(-16 x \,{\mathrm e}^{4}+16 x^{2}+32 x -12\right) {\mathrm e}^{2 x}}{8}$&$57$\\ norman&$\frac{\frac{9}{16}+x^{4}+x^{4} {\mathrm e}^{4 x}+\left(-2 \,{\mathrm e}^{4}+4\right) x^{3}+\left(\frac{3 \,{\mathrm e}^{4}}{2}-3\right) x +\left(-2 \,{\mathrm e}^{4}+4\right) x^{3} {\mathrm e}^{2 x}-\frac{3 \,{\mathrm e}^{2 x} x^{2}}{2}+2 \,{\mathrm e}^{2 x} x^{4}}{x^{2}}$&$68$\\ default&$x^{2}+4 x +\frac{9}{16 x^{2}}-\frac{3}{x}-\frac{3 \,{\mathrm e}^{2 x}}{2}+4 x \,{\mathrm e}^{2 x}+x^{2} {\mathrm e}^{4 x}+\frac{3 \,{\mathrm e}^{4}}{2 x}-{\mathrm e}^{4} {\mathrm e}^{2 x}+2 \,{\mathrm e}^{2 x} x^{2}-4 \,{\mathrm e}^{4} \left(\frac{x \,{\mathrm e}^{2 x}}{2}-\frac{{\mathrm e}^{2 x}}{4}\right)-2 x \,{\mathrm e}^{4}$&$86$\\ \hline \end{longtable}"," ",0,"-2*x*exp(4)+x^2+4*x+1/8*((12*exp(4)-24)*x+9/2)/x^2+x^2*exp(4*x)+1/8*(-16*x*exp(4)+16*x^2+32*x-12)*exp(2*x)","B"
3974,1,12,27,0.038000," ","int(-1/3*ln(5)*exp(x*ln(5))+1/3*(x+1)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x} x}{3}-\frac{5^{x}}{3}$&$12$\\ default&$\frac{{\mathrm e}^{x} x}{3}-\frac{{\mathrm e}^{x \ln \left(5\right)}}{3}$&$14$\\ norman&$\frac{{\mathrm e}^{x} x}{3}-\frac{{\mathrm e}^{x \ln \left(5\right)}}{3}$&$14$\\ meijerg&$-\frac{{\mathrm e}^{x \ln \left(5\right)}}{3}+\frac{{\mathrm e}^{x}}{3}+\frac{1}{3}-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{6}$&$23$\\ \hline \end{longtable}"," ",0,"1/3*exp(x)*x-1/3*5^x","A"
3975,1,19,15,0.030000," ","int((8*x*ln(2*x)-exp(x)+4*x-4)/(4*x^2*ln(2*x)-exp(x)-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(4 x^{2} \ln \left(2 x \right)-{\mathrm e}^{x}-4 x \right)$&$19$\\ default&$\ln \left(4 x^{2} \ln \left(2 x \right)-{\mathrm e}^{x}-4 x \right)$&$19$\\ norman&$\ln \left(4 x^{2} \ln \left(2 x \right)-{\mathrm e}^{x}-4 x \right)$&$19$\\ risch&$2 \ln \left(x \right)+\ln \left(\ln \left(2 x \right)-\frac{4 x +{\mathrm e}^{x}}{4 x^{2}}\right)$&$23$\\ \hline \end{longtable}"," ",0,"ln(4*x^2*ln(2*x)-exp(x)-4*x)","A"
3976,1,40,23,0.039000," ","int(((2*x*exp(x)^2+(2*x^2-2)*exp(x)-2*x)*exp(exp(x))^2*ln(2*exp(x)+2*x)^2+((2*exp(x)*x+2*x)*exp(exp(x))^2+(-6*exp(x)^2*x^2+(-6*x^3+6*x)*exp(x)+6*x^2)*exp(exp(x)))*ln(2*exp(x)+2*x)+(-6*exp(x)*x^2-6*x^2)*exp(exp(x))+exp(x)*x^3+x^4)/(exp(x)*x^3+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{x}} \ln \left(2 \,{\mathrm e}^{x}+2 x \right)^{2}}{x^{2}}-\frac{6 \ln \left(2 \,{\mathrm e}^{x}+2 x \right) {\mathrm e}^{{\mathrm e}^{x}}}{x}+x$&$40$\\ \hline \end{longtable}"," ",0,"1/x^2*exp(2*exp(x))*ln(2*exp(x)+2*x)^2-6*ln(2*exp(x)+2*x)/x*exp(exp(x))+x","A"
3977,1,34,22,0.033000," ","int(((4*exp(x)^4*ln(x)+2*x*exp(x)^4)*exp(ln(x)^2-x)^2+(-20*x*exp(x)^4*ln(x)+(-30*x^2-10*x)*exp(x)^4)*exp(ln(x)^2-x)+(100*x^3+50*x^2)*exp(x)^4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x^{2} {\mathrm e}^{4 x}-10 x \,{\mathrm e}^{3 x +\ln \left(x \right)^{2}}+{\mathrm e}^{2 x +2 \ln \left(x \right)^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"25*x^2*exp(4*x)-10*x*exp(3*x+ln(x)^2)+exp(2*x+2*ln(x)^2)","A"
3978,1,15,18,0.055000," ","int(((x^2+3*x+3)*exp(x)+12)/(exp(x)^2*x^2+8*exp(x)*x^2+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3+x}{x \left({\mathrm e}^{x}+4\right)}$&$15$\\ norman&$\frac{-3-x}{\left({\mathrm e}^{x}+4\right) x}$&$16$\\ \hline \end{longtable}"," ",0,"-(3+x)/x/(exp(x)+4)","A"
3979,1,15,18,0.013000," ","int(1/6*(x^2*ln(x)-3*x^2-10)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x \ln \left(x \right)}{6}-\frac{2 x}{3}+\frac{5}{3 x}$&$15$\\ norman&$\frac{\frac{5}{3}-\frac{2 x^{2}}{3}+\frac{x^{2} \ln \left(x \right)}{6}}{x}$&$19$\\ risch&$\frac{x \ln \left(x \right)}{6}-\frac{2 x^{2}-5}{3 x}$&$19$\\ \hline \end{longtable}"," ",0,"1/6*x*ln(x)-2/3*x+5/3/x","A"
3980,1,19,20,0.072000," ","int((ln(x)-4*ln(4/x)-14)/(x*ln(x)-4*x*ln(4/x)-9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)-\ln \left(\ln \left(x \right)-4 \ln \left(\frac{4}{x}\right)-9\right)$&$19$\\ risch&$\ln \left(x \right)-\ln \left(\ln \left(x \right)+\frac{i \left(8 i \ln \left(2\right)+9 i\right)}{5}\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(ln(x)-4*ln(4/x)-9)","A"
3981,1,23,23,0.038000," ","int(((2*x*ln(x)+2*x^3*exp(1)+2*x^2-8*x)*ln(-ln(x)-x^2*exp(1)-x+4)+2*x^2*exp(1)+x+1)/(x*ln(x)+x^3*exp(1)+x^2-4*x)/ln(-ln(x)-x^2*exp(1)-x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\ln \left(\ln \left(-\ln \left(x \right)-x^{2} {\mathrm e}-x +4\right)\right)$&$23$\\ \hline \end{longtable}"," ",0,"2*x+ln(ln(-ln(x)-x^2*exp(1)-x+4))","A"
3982,1,27,26,0.111000," ","int(((-2*exp(1)*exp(4)+4*x*exp(1))*exp(1/2*exp(4)+14)-2*x^2*exp(1))/(x^2*exp(4)^2-2*x^3*exp(4)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 \left({\mathrm e}^{\frac{{\mathrm e}^{4}}{2}+14}-x \right) {\mathrm e}}{x \left({\mathrm e}^{4}-x \right)}$&$27$\\ risch&$\frac{-2 x \,{\mathrm e}+2 \,{\mathrm e}^{15+\frac{{\mathrm e}^{4}}{2}}}{\left({\mathrm e}^{4}-x \right) x}$&$28$\\ norman&$\frac{-2 x \,{\mathrm e}+2 \,{\mathrm e} \,{\mathrm e}^{\frac{{\mathrm e}^{4}}{2}} {\mathrm e}^{14}}{x \left({\mathrm e}^{4}-x \right)}$&$30$\\ \hline \end{longtable}"," ",0,"2*(exp(1/2*exp(4)+14)-x)/x/(exp(4)-x)*exp(1)","A"
3983,1,19,22,0.026000," ","int((-3*x^3*exp(x^3)-3*exp(x)*x+2*x-2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -2 \ln \left(x \right)-{\mathrm e}^{x^{3}}-3 \,{\mathrm e}^{x}$&$19$\\ norman&$2 x -2 \ln \left(x \right)-{\mathrm e}^{x^{3}}-3 \,{\mathrm e}^{x}$&$19$\\ risch&$2 x -2 \ln \left(x \right)-{\mathrm e}^{x^{3}}-3 \,{\mathrm e}^{x}$&$19$\\ \hline \end{longtable}"," ",0,"2*x-2*ln(x)-exp(x^3)-3*exp(x)","A"
3984,1,23,21,0.068000," ","int(1/2*((2*x+1)*exp(1/2*(4*x*ln(2)^2*exp(2*x)-1)/x/exp(2*x))+2*exp(2*x)*x^2)/exp(2*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{4 x \ln \left(2\right)^{2}-{\mathrm e}^{-2 x}}{2 x}}$&$23$\\ norman&$\frac{\left({\mathrm e}^{2 x} x^{2}+x \,{\mathrm e}^{2 x} {\mathrm e}^{\frac{\left(4 x \ln \left(2\right)^{2} {\mathrm e}^{2 x}-1\right) {\mathrm e}^{-2 x}}{2 x}}\right) {\mathrm e}^{-2 x}}{x}$&$51$\\ \hline \end{longtable}"," ",0,"x+exp(1/2*(4*x*ln(2)^2-exp(-2*x))/x)","A"
3985,1,569,23,0.275000," ","int((-50*ln(x)+16*x^4-8*x^3+9*x^2-25*x)*ln(exp(25/16/x^2)/(2*ln(x)-x^2+x))/(8*x^3*ln(x)-4*x^5+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(16 \ln \left(-2 \ln \left(x \right)+x^{2}-x \right) x^{2}-25\right) \ln \left({\mathrm e}^{\frac{25}{16 x^{2}}}\right)}{8 x^{2}}+\frac{-512 i \pi  \ln \left(-\frac{x^{2}}{2}+\frac{x}{2}+\ln \left(x \right)\right) x^{4}-400 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{2 \ln \left(x \right)-x^{2}+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{25}{16 x^{2}}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{25}{16 x^{2}}}}{2 \ln \left(x \right)-x^{2}+x}\right)+256 i \pi  \ln \left(-\frac{x^{2}}{2}+\frac{x}{2}+\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{25}{16 x^{2}}}}{2 \ln \left(x \right)-x^{2}+x}\right)^{3} x^{4}-400 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{25}{16 x^{2}}}}{2 \ln \left(x \right)-x^{2}+x}\right)^{3}-800 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{25}{16 x^{2}}}}{2 \ln \left(x \right)-x^{2}+x}\right)^{2}-256 i \pi  \ln \left(-\frac{x^{2}}{2}+\frac{x}{2}+\ln \left(x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{25}{16 x^{2}}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{25}{16 x^{2}}}}{2 \ln \left(x \right)-x^{2}+x}\right)^{2} x^{4}+256 i \pi  \ln \left(-\frac{x^{2}}{2}+\frac{x}{2}+\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i}{2 \ln \left(x \right)-x^{2}+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{25}{16 x^{2}}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{25}{16 x^{2}}}}{2 \ln \left(x \right)-x^{2}+x}\right) x^{4}+800 i \pi  \,x^{2}-400 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{2 \ln \left(x \right)-x^{2}+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{25}{16 x^{2}}}}{2 \ln \left(x \right)-x^{2}+x}\right)^{2}+256 i \pi  \ln \left(-\frac{x^{2}}{2}+\frac{x}{2}+\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i}{2 \ln \left(x \right)-x^{2}+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{25}{16 x^{2}}}}{2 \ln \left(x \right)-x^{2}+x}\right)^{2} x^{4}+400 i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{\frac{25}{16 x^{2}}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{25}{16 x^{2}}}}{2 \ln \left(x \right)-x^{2}+x}\right)^{2}+512 i \pi  \ln \left(-\frac{x^{2}}{2}+\frac{x}{2}+\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{25}{16 x^{2}}}}{2 \ln \left(x \right)-x^{2}+x}\right)^{2} x^{4}-625+256 \ln \left(-2 \ln \left(x \right)+x^{2}-x \right)^{2} x^{4}}{256 x^{4}}$&$569$\\ \hline \end{longtable}"," ",0,"-1/8*(16*ln(-2*ln(x)+x^2-x)*x^2-25)/x^2*ln(exp(25/16/x^2))+1/256*(-512*I*Pi*ln(-1/2*x^2+1/2*x+ln(x))*x^4-400*I*Pi*x^2*csgn(I/(2*ln(x)-x^2+x))*csgn(I*exp(25/16/x^2))*csgn(I*exp(25/16/x^2)/(2*ln(x)-x^2+x))+256*I*Pi*ln(-1/2*x^2+1/2*x+ln(x))*csgn(I*exp(25/16/x^2)/(2*ln(x)-x^2+x))^3*x^4-400*I*Pi*x^2*csgn(I*exp(25/16/x^2)/(2*ln(x)-x^2+x))^3-800*I*Pi*x^2*csgn(I*exp(25/16/x^2)/(2*ln(x)-x^2+x))^2-256*I*Pi*ln(-1/2*x^2+1/2*x+ln(x))*csgn(I*exp(25/16/x^2))*csgn(I*exp(25/16/x^2)/(2*ln(x)-x^2+x))^2*x^4+256*I*Pi*ln(-1/2*x^2+1/2*x+ln(x))*csgn(I/(2*ln(x)-x^2+x))*csgn(I*exp(25/16/x^2))*csgn(I*exp(25/16/x^2)/(2*ln(x)-x^2+x))*x^4+800*I*Pi*x^2-400*I*Pi*x^2*csgn(I/(2*ln(x)-x^2+x))*csgn(I*exp(25/16/x^2)/(2*ln(x)-x^2+x))^2+256*I*Pi*ln(-1/2*x^2+1/2*x+ln(x))*csgn(I/(2*ln(x)-x^2+x))*csgn(I*exp(25/16/x^2)/(2*ln(x)-x^2+x))^2*x^4+400*I*Pi*x^2*csgn(I*exp(25/16/x^2))*csgn(I*exp(25/16/x^2)/(2*ln(x)-x^2+x))^2+512*I*Pi*ln(-1/2*x^2+1/2*x+ln(x))*csgn(I*exp(25/16/x^2)/(2*ln(x)-x^2+x))^2*x^4-625+256*ln(-2*ln(x)+x^2-x)^2*x^4)/x^4","C"
3986,1,34,27,0.277000," ","int(((12*x^4-120*x^3-144*x^2+480*x)*exp(2)^2+(160*x^5-1200*x^4-640*x^3+1600*x^2)*exp(2))/((9*x^6+108*x^4+432*x^2+576)*exp(2)^2+(120*x^7+1440*x^5+5760*x^3+7680*x)*exp(2)+400*x^8+4800*x^6+19200*x^4+25600*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{20 x^{2} {\mathrm e}^{2}-4 x^{3} {\mathrm e}^{2}}{\left(x^{2}+4\right)^{2} \left(3 \,{\mathrm e}^{2}+20 x \right)}$&$34$\\ gosper&$-\frac{4 x^{2} \left(x -5\right) {\mathrm e}^{2}}{3 x^{4} {\mathrm e}^{2}+20 x^{5}+24 x^{2} {\mathrm e}^{2}+160 x^{3}+48 \,{\mathrm e}^{2}+320 x}$&$45$\\ risch&$\frac{-\frac{4 x^{3} {\mathrm e}^{2}}{3}+\frac{20 x^{2} {\mathrm e}^{2}}{3}}{x^{4} {\mathrm e}^{2}+\frac{20 x^{5}}{3}+8 x^{2} {\mathrm e}^{2}+\frac{160 x^{3}}{3}+16 \,{\mathrm e}^{2}+\frac{320 x}{3}}$&$50$\\ \hline \end{longtable}"," ",0,"(20*x^2*exp(2)-4*x^3*exp(2))/(x^2+4)^2/(3*exp(2)+20*x)","A"
3987,1,20,25,0.046000," ","int(((x^3+4*x^2+4*x)*exp(3+x)-2*x^2-12*x-16)*exp(exp(3+x)+1)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2}+4 x +4\right) {\mathrm e}^{{\mathrm e}^{3+x}+1}}{x^{4}}$&$20$\\ norman&$\frac{x^{2} {\mathrm e}^{{\mathrm e}^{3+x}+1}+4 x \,{\mathrm e}^{{\mathrm e}^{3+x}+1}+4 \,{\mathrm e}^{{\mathrm e}^{3+x}+1}}{x^{4}}$&$36$\\ \hline \end{longtable}"," ",0,"1/x^4*(x^2+4*x+4)*exp(exp(3+x)+1)","A"
3988,1,8,14,0.014000," ","int(6/(3*x*ln(x)+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(\ln \left(x \right)+\frac{2}{3}\right)$&$8$\\ default&$2 \ln \left(3 \ln \left(x \right)+2\right)$&$10$\\ norman&$2 \ln \left(3 \ln \left(x \right)+2\right)$&$10$\\ \hline \end{longtable}"," ",0,"2*ln(ln(x)+2/3)","A"
3989,1,123,26,0.197000," ","int((3*exp(256*ln(2)^8)*ln(ln(2))+3*exp(256*ln(2)^8)*ln(x)+(-8*x-3)*exp(256*ln(2)^8)*ln((8*x+3)/x))/((8*x^2+3*x)*ln((8*x+3)/x)^2*ln(ln(2))^2+(16*x^2+6*x)*ln((8*x+3)/x)^2*ln(x)*ln(ln(2))+(8*x^2+3*x)*ln((8*x+3)/x)^2*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i {\mathrm e}^{256 \ln \left(2\right)^{8}}}{\left(\ln \left(x \right)+\ln \left(\ln \left(2\right)\right)\right) \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x +\frac{3}{8}\right)\right) \mathrm{csgn}\left(\frac{i \left(x +\frac{3}{8}\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x +\frac{3}{8}\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x +\frac{3}{8}\right)\right) \mathrm{csgn}\left(\frac{i \left(x +\frac{3}{8}\right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x +\frac{3}{8}\right)}{x}\right)^{3}+6 i \ln \left(2\right)-2 i \ln \left(x \right)+2 i \ln \left(x +\frac{3}{8}\right)\right)}$&$123$\\ \hline \end{longtable}"," ",0,"2*I*exp(256*ln(2)^8)/(ln(x)+ln(ln(2)))/(Pi*csgn(I/x)*csgn(I*(x+3/8))*csgn(I/x*(x+3/8))-Pi*csgn(I/x)*csgn(I/x*(x+3/8))^2-Pi*csgn(I*(x+3/8))*csgn(I/x*(x+3/8))^2+Pi*csgn(I/x*(x+3/8))^3+6*I*ln(2)-2*I*ln(x)+2*I*ln(x+3/8))","C"
3990,1,22,20,0.099000," ","int((((-2*ln(x)+1)*ln(2*x)-16*exp(1)*ln(x)+8*exp(1))*ln(1/4*(ln(2*x)+8*exp(1))/exp(1))+ln(x))/(9*x^3*ln(2*x)+72*x^3*exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right) \ln \left(\frac{\left(\ln \left(2\right)+\ln \left(x \right)+8 \,{\mathrm e}\right) {\mathrm e}^{-1}}{4}\right)}{9 x^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"1/9/x^2*ln(x)*ln(1/4*(ln(2)+ln(x)+8*exp(1))*exp(-1))","A"
3991,1,123,30,0.073000," ","int(((5*x^2-4*x-1)*ln(5*x^2+x)+(-10*x^5-17*x^4+2*x^3+x^2)*exp(x)^2+(10*x^6+42*x^5-2*x^4-2*x^3)*exp(x)-25*x^6+x^4+10*x^2+x)/((5*x^3+x^2)*ln(5*x^2+x)+(-5*x^5-x^4)*exp(x)^2+(10*x^6+2*x^5)*exp(x)-5*x^7-x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(x \right)+1}{x}+\ln \left(\ln \left(\frac{1}{5}+x \right)-\frac{i \left(-2 i x^{4}+4 i x^{3} {\mathrm e}^{x}-2 i x^{2} {\mathrm e}^{2 x}+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\frac{1}{5}+x \right)\right) \mathrm{csgn}\left(i x \left(\frac{1}{5}+x \right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\frac{1}{5}+x \right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\frac{1}{5}+x \right)\right) \mathrm{csgn}\left(i x \left(\frac{1}{5}+x \right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \left(\frac{1}{5}+x \right)\right)^{3}+2 i \ln \left(x \right)\right)}{2}\right)$&$123$\\ \hline \end{longtable}"," ",0,"(x*ln(x)+1)/x+ln(ln(1/5+x)-1/2*I*(-2*I*x^4+4*I*x^3*exp(x)-2*I*x^2*exp(2*x)+Pi*csgn(I*x)*csgn(I*(1/5+x))*csgn(I*x*(1/5+x))-Pi*csgn(I*x)*csgn(I*x*(1/5+x))^2-Pi*csgn(I*(1/5+x))*csgn(I*x*(1/5+x))^2+Pi*csgn(I*x*(1/5+x))^3+2*I*ln(x)))","C"
3992,1,15,19,0.088000," ","int(((-x-5)*ln(5+x)^2+(2*x-6)*ln(5+x)+7*x+35)/(x^3-x^2-21*x+45),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(5+x \right)^{2}-7}{x -3}$&$15$\\ risch&$\frac{\ln \left(5+x \right)^{2}}{x -3}-\frac{7}{x -3}$&$21$\\ \hline \end{longtable}"," ",0,"(ln(5+x)^2-7)/(x-3)","A"
3993,1,17,16,0.037000," ","int(((-75*x^4-300*x^3-25*x-100)*ln(4+x)-50*x*ln(x)-50*x^4)/((x^2+4*x)*ln(x)^2+(2*x^5+8*x^4)*ln(x)+x^8+4*x^7)/ln(4+x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25}{\ln \left(4+x \right)^{2} \left(\ln \left(x \right)+x^{3}\right)}$&$17$\\ \hline \end{longtable}"," ",0,"25/ln(4+x)^2/(ln(x)+x^3)","A"
3994,1,42,24,0.057000," ","int(1/4*((x^3*exp(-x^2+3)+15*x^5)*exp(15/exp(-x^2+3))^2+((4*x*exp(1)+6*x^2)*exp(-x^2+3)+60*x^3*exp(1)+60*x^4)*exp(15/exp(-x^2+3))+(8*exp(1)+8*x)*exp(-x^2+3))/exp(-x^2+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \,{\mathrm e}+x^{2}+\frac{x^{4} {\mathrm e}^{30 \,{\mathrm e}^{x^{2}-3}}}{16}+\frac{x^{2} \left(x +{\mathrm e}\right) {\mathrm e}^{15 \,{\mathrm e}^{x^{2}-3}}}{2}$&$42$\\ \hline \end{longtable}"," ",0,"2*x*exp(1)+x^2+1/16*x^4*exp(30*exp(x^2-3))+1/2*x^2*(x+exp(1))*exp(15*exp(x^2-3))","A"
3995,1,52,17,0.153000," ","int((-3*ln(2)-15)*exp(-x/(ln(2)+5-x))*exp(exp(-x/(ln(2)+5-x))-3)/(2*ln(2)^2+(-4*x+20)*ln(2)+2*x^2-20*x+50),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{{\mathrm e}^{-\frac{x}{\ln \left(2\right)+5-x}}-3} \ln \left(2\right)}{2 \left(\ln \left(2\right)+5\right)}+\frac{15 \,{\mathrm e}^{{\mathrm e}^{-\frac{x}{\ln \left(2\right)+5-x}}-3}}{2 \left(\ln \left(2\right)+5\right)}$&$52$\\ norman&$\frac{\left(\frac{3 \ln \left(2\right)}{2}+\frac{15}{2}\right) {\mathrm e}^{{\mathrm e}^{-\frac{x}{\ln \left(2\right)+5-x}}-3}-\frac{3 x \,{\mathrm e}^{{\mathrm e}^{-\frac{x}{\ln \left(2\right)+5-x}}-3}}{2}}{\ln \left(2\right)+5-x}$&$54$\\ \hline \end{longtable}"," ",0,"3/2/(ln(2)+5)*exp(exp(-x/(ln(2)+5-x))-3)*ln(2)+15/2/(ln(2)+5)*exp(exp(-x/(ln(2)+5-x))-3)","B"
3996,1,36,18,0.035000," ","int(((x+1)*exp(5+x)+(x+1)*exp(x)-5)*exp(exp(2+ln(5)))+(4*x+4)*exp(5+x)+(4*x+4)*exp(x)-20,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-5 \,{\mathrm e}^{5 \,{\mathrm e}^{2}}-20\right) x +\left({\mathrm e}^{5} {\mathrm e}^{5 \,{\mathrm e}^{2}}+4 \,{\mathrm e}^{5}+{\mathrm e}^{5 \,{\mathrm e}^{2}}+4\right) x \,{\mathrm e}^{x}$&$36$\\ risch&$-5 \,{\mathrm e}^{5 \,{\mathrm e}^{2}} x +\left({\mathrm e}^{5}+1\right) x \,{\mathrm e}^{5 \,{\mathrm e}^{2}+x}+4 x \,{\mathrm e}^{5+x}+4 \,{\mathrm e}^{x} x -20 x$&$38$\\ default&$-20 x +4 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{5+x} \left(5+x \right)-20 \,{\mathrm e}^{5+x}+{\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{2+\ln \left(5\right)}} x +{\mathrm e}^{5+x} {\mathrm e}^{{\mathrm e}^{2+\ln \left(5\right)}} x -5 \,{\mathrm e}^{{\mathrm e}^{2+\ln \left(5\right)}} x$&$56$\\ \hline \end{longtable}"," ",0,"(-5*exp(exp(2))^5-20)*x+(exp(5)*exp(exp(2))^5+4*exp(5)+exp(exp(2))^5+4)*x*exp(x)","A"
3997,1,20,21,0.049000," ","int(1/3*(3*x+3)*exp(x)*exp(exp(x)*x+5)+exp(3)+4/3*x+1/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left({\mathrm e}^{3}+\frac{1}{3}\right) x +\frac{2 x^{2}}{3}+{\mathrm e}^{{\mathrm e}^{x} x +5}$&$20$\\ default&$\frac{x}{3}+\frac{2 x^{2}}{3}+{\mathrm e}^{{\mathrm e}^{x} x +5}+x \,{\mathrm e}^{3}$&$21$\\ risch&$\frac{x}{3}+\frac{2 x^{2}}{3}+{\mathrm e}^{{\mathrm e}^{x} x +5}+x \,{\mathrm e}^{3}$&$21$\\ \hline \end{longtable}"," ",0,"(exp(3)+1/3)*x+2/3*x^2+exp(exp(x)*x+5)","A"
3998,1,17,21,0.036000," ","int(((-4*x^2*exp(x^2)+2)*exp(exp(x^2))-10)/(exp(exp(x^2))*x+x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(x \right)-2 \ln \left({\mathrm e}^{{\mathrm e}^{x^{2}}}+x -5\right)$&$17$\\ risch&$2 \ln \left(x \right)-2 \ln \left({\mathrm e}^{{\mathrm e}^{x^{2}}}+x -5\right)$&$17$\\ \hline \end{longtable}"," ",0,"2*ln(x)-2*ln(exp(exp(x^2))+x-5)","A"
3999,1,14,14,0.039000," ","int(((x+1)*ln(x+1)+3+4*x)/((x^3+x^2)*ln(x+1)^2+(6*x^3+6*x^2)*ln(x+1)+9*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{1}{x \left(3+\ln \left(x +1\right)\right)}$&$14$\\ risch&$-\frac{1}{x \left(3+\ln \left(x +1\right)\right)}$&$14$\\ \hline \end{longtable}"," ",0,"-1/x/(3+ln(x+1))","A"
4000,1,13,12,0.060000," ","int(((4*x-7)*exp(x)*ln(4*x-7)^2+8*exp(x)*ln(4*x-7))/(100*x-175),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{x} \ln \left(4 x -7\right)^{2}}{25}$&$13$\\ risch&$\frac{{\mathrm e}^{x} \ln \left(4 x -7\right)^{2}}{25}$&$13$\\ \hline \end{longtable}"," ",0,"1/25*exp(x)*ln(4*x-7)^2","A"
4001,1,20,19,0.070000," ","int(-32*x*exp(-ln(64/49*x^2+4)+exp(ln(2)^2-4*ln(2)+4))/(16*x^2+49),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{49 \,{\mathrm e}^{\frac{{\mathrm e}^{\ln \left(2\right)^{2}+4}}{16}}}{64 \left(x^{2}+\frac{49}{16}\right)}$&$20$\\ default&$\frac{49 \,{\mathrm e}^{\frac{{\mathrm e}^{\ln \left(2\right)^{2}+4}}{16}}}{4 \left(16 x^{2}+49\right)}$&$22$\\ norman&$\frac{49 \,{\mathrm e}^{\frac{{\mathrm e}^{\ln \left(2\right)^{2}+4}}{16}}}{4 \left(16 x^{2}+49\right)}$&$23$\\ gosper&${\mathrm e}^{-\ln \left(\frac{64 x^{2}}{49}+4\right)+{\mathrm e}^{\ln \left(2\right)^{2}-4 \ln \left(2\right)+4}}$&$24$\\ \hline \end{longtable}"," ",0,"49/64*exp(1/16*exp(ln(2)^2+4))/(x^2+49/16)","A"
4002,1,18,19,0.051000," ","int((-4*x*exp(6)*ln(x)-20*x*exp(6)-24*x-12)/(x*ln(x)^2+(4*x^2+12*x)*ln(x)+4*x^3+24*x^2+36*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \left(x \,{\mathrm e}^{6}-3\right)}{6+\ln \left(x \right)+2 x}$&$18$\\ norman&$\frac{2 \,{\mathrm e}^{6} \ln \left(x \right)+12+12 \,{\mathrm e}^{6}}{6+\ln \left(x \right)+2 x}$&$23$\\ \hline \end{longtable}"," ",0,"-4*(x*exp(6)-3)/(6+ln(x)+2*x)","A"
4003,1,29,28,0.131000," ","int((((2*x^3+22*x^2+20*x)*exp(4)+20*x^2+200*x)*exp(x^2/(5+x))+(-2*x^3-20*x^2-50*x)*exp(4)-20*x^2-200*x-500)/(x^2+10*x+25)/exp(4)/exp(-exp(x^2/(5+x))+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(2 x \,{\mathrm e}^{4}+2 \,{\mathrm e}^{4}+20\right) {\mathrm e}^{-4+{\mathrm e}^{\frac{x^{2}}{5+x}}-x}$&$29$\\ norman&$\frac{\left(2 x^{2}+10 \left(10+{\mathrm e}^{4}\right) {\mathrm e}^{-4}+4 \left(5+3 \,{\mathrm e}^{4}\right) {\mathrm e}^{-4} x \right) {\mathrm e}^{{\mathrm e}^{\frac{x^{2}}{5+x}}-x}}{5+x}$&$53$\\ \hline \end{longtable}"," ",0,"(2*x*exp(4)+2*exp(4)+20)*exp(-4+exp(x^2/(5+x))-x)","A"
4004,1,22,21,0.054000," ","int(((-3*x^5+3*x^3+6*x^2+42*x+36)*ln(2*x+2)+3*x^4)/(x^4+x^3)/exp((x^4+x+4)/x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x \,{\mathrm e}^{-\frac{x^{4}+x +4}{x^{3}}} \ln \left(2 x +2\right)$&$22$\\ \hline \end{longtable}"," ",0,"3*x*exp(-(x^4+x+4)/x^3)*ln(2*x+2)","A"
4005,1,23,23,0.144000," ","int((4*ln(-exp(5))^2+(-8*x^2*exp(4)^2-2)*ln(-exp(5))+4*x^4*exp(4)^4-2*x^2*exp(4)^2)/(ln(-exp(5))^2-2*x^2*exp(4)^2*ln(-exp(5))+x^4*exp(4)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x +\frac{2 i x}{i {\mathrm e}^{8} x^{2}+\pi -5 i}$&$23$\\ gosper&$\frac{2 x \left(-2 x^{2} {\mathrm e}^{8}+2 \ln \left(-{\mathrm e}^{5}\right)-1\right)}{\ln \left(-{\mathrm e}^{5}\right)-x^{2} {\mathrm e}^{8}}$&$39$\\ default&$4 x -\frac{2 \left({\mathrm e}^{16}\right)^{2} {\mathrm e}^{-8} {\mathrm e}^{-16} x}{-x^{2} {\mathrm e}^{16}+\ln \left(-{\mathrm e}^{5}\right) {\mathrm e}^{8}}$&$94$\\ \hline \end{longtable}"," ",0,"4*x+2*I*x/(I*exp(8)*x^2+Pi-5*I)","C"
4006,1,19,20,0.241000," ","int(((20*x^7+8*x^6)*exp(4*x^2/(1+5*x))+25*x^7+10*x^6+x^5-100*x^2-40*x-4)/(25*x^7+10*x^6+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x^{4}}+x +{\mathrm e}^{\frac{4 x^{2}}{1+5 x}}$&$19$\\ norman&$\frac{1+x^{4} {\mathrm e}^{\frac{4 x^{2}}{1+5 x}}+x^{5}+5 x +5 x^{6}+5 x^{5} {\mathrm e}^{\frac{4 x^{2}}{1+5 x}}}{x^{4} \left(1+5 x \right)}$&$60$\\ \hline \end{longtable}"," ",0,"1/x^4+x+exp(4*x^2/(1+5*x))","A"
4007,1,16,23,0.109000," ","int((-x*ln(16/25*x^2*exp(x)^2/exp(2*x)^2)-2*x+2)/x/ln(16/25*x^2*exp(x)^2/exp(2*x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x +\ln \left(\ln \left(\frac{16 x^{2} {\mathrm e}^{-2 x}}{25}\right)\right)$&$16$\\ default&$-x +\ln \left(-\ln \left(\frac{16 x^{2} {\mathrm e}^{2 x} {\mathrm e}^{-4 x}}{25}\right)\right)$&$24$\\ risch&$-x +\ln \left(\ln \left({\mathrm e}^{x}\right)+\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-2 x}\right)-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-2 x}\right)^{2}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+2 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-2 x}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-2 x}\right)^{3}+8 i \ln \left(2\right)-4 i \ln \left(5\right)+4 i \ln \left(x \right)\right)}{4}\right)$&$214$\\ \hline \end{longtable}"," ",0,"-x+ln(ln(16/25*x^2/exp(x)^2))","A"
4008,1,22,23,0.044000," ","int((exp(3*exp(3)-6)*ln(x)+(-1-2*ln(2))*exp(3*exp(3)-6))/(x*ln(x)-2*x*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{3 \,{\mathrm e}^{3}} {\mathrm e}^{-6} \left(\ln \left(x \right)-\ln \left(\ln \left(x \right)-2 \ln \left(2\right)\right)\right)$&$22$\\ risch&${\mathrm e}^{3 \,{\mathrm e}^{3}-6} \ln \left(x \right)-\ln \left(\ln \left(x \right)-2 \ln \left(2\right)\right) {\mathrm e}^{3 \,{\mathrm e}^{3}-6}$&$29$\\ norman&${\mathrm e}^{3 \,{\mathrm e}^{3}} {\mathrm e}^{-6} \ln \left(x \right)-{\mathrm e}^{3 \,{\mathrm e}^{3}} {\mathrm e}^{-6} \ln \left(2 \ln \left(2\right)-\ln \left(x \right)\right)$&$31$\\ \hline \end{longtable}"," ",0,"exp(exp(3))^3*exp(-6)*(ln(x)-ln(ln(x)-2*ln(2)))","A"
4009,1,116,29,0.141000," ","int(((216*x^5+2280*x^4+7936*x^3+10080*x^2+3290*x-450)*exp(x)^2+(-36*x^7-156*x^6+1038*x^5+5730*x^4+5430*x^3-450*x^2)*exp(x)-18*x^8-108*x^7+180*x^6+1350*x^5)*exp(((36*x^6+456*x^5+1984*x^4+3360*x^3+1645*x^2-450*x+25)*exp(x)^2+(36*x^7+408*x^6+1410*x^5+1320*x^4-150*x^3)*exp(x)+9*x^8+90*x^7+225*x^6)/exp(x)^2)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\left(36 x^{7} {\mathrm e}^{x}+9 x^{8}+408 x^{6} {\mathrm e}^{x}+36 \,{\mathrm e}^{2 x} x^{6}+90 x^{7}+1410 x^{5} {\mathrm e}^{x}+456 x^{5} {\mathrm e}^{2 x}+225 x^{6}+1320 \,{\mathrm e}^{x} x^{4}+1984 \,{\mathrm e}^{2 x} x^{4}-150 \,{\mathrm e}^{x} x^{3}+3360 \,{\mathrm e}^{2 x} x^{3}+1645 \,{\mathrm e}^{2 x} x^{2}-450 x \,{\mathrm e}^{2 x}+25 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{-2 x}}$&$116$\\ \hline \end{longtable}"," ",0,"exp((36*x^7*exp(x)+9*x^8+408*x^6*exp(x)+36*exp(2*x)*x^6+90*x^7+1410*x^5*exp(x)+456*x^5*exp(2*x)+225*x^6+1320*exp(x)*x^4+1984*exp(2*x)*x^4-150*exp(x)*x^3+3360*exp(2*x)*x^3+1645*exp(2*x)*x^2-450*x*exp(2*x)+25*exp(2*x))*exp(-2*x))","B"
4010,1,51,35,110.664000," ","int((((-x^2+x)*(ln(5/4)+I*Pi)^2+(x^3-2*x^2)*(ln(5/4)+I*Pi)+x^3)*ln(((x^2-x)*(ln(5/4)+I*Pi)+x^2)/(ln(5/4)+I*Pi-x))+(x^2-4*x+2)*(ln(5/4)+I*Pi)^2+(2*x^2-4*x)*(ln(5/4)+I*Pi)+2*x^2)/(((x^2-x)*(ln(5/4)+I*Pi)^2+(-x^3+2*x^2)*(ln(5/4)+I*Pi)-x^3)*ln(((x^2-x)*(ln(5/4)+I*Pi)+x^2)/(ln(5/4)+I*Pi-x))^2+((2*x^2-2*x)*(ln(5/4)+I*Pi)^2+(-2*x^3+4*x^2)*(ln(5/4)+I*Pi)-2*x^3)*ln(((x^2-x)*(ln(5/4)+I*Pi)+x^2)/(ln(5/4)+I*Pi-x))+(x^2-x)*(ln(5/4)+I*Pi)^2+(-x^3+2*x^2)*(ln(5/4)+I*Pi)-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x -2}{\ln \left(\frac{\left(x^{2}-x \right) \left(\ln \left(5\right)-2 \ln \left(2\right)+i \pi \right)+x^{2}}{\ln \left(5\right)-2 \ln \left(2\right)+i \pi -x}\right)+1}$&$51$\\ norman&$\frac{\frac{4 i \pi  \ln \left(5\right)+2 \pi^{2}+2 i \pi  \ln \left(5\right)^{2}-8 i \ln \left(2\right) \pi  \ln \left(5\right)-8 i \pi  \ln \left(2\right)-4 \ln \left(2\right) \pi^{2}+2 \pi^{2} \ln \left(5\right)+2 i \pi^{3}+8 i \ln \left(2\right)^{2} \pi -16 \ln \left(2\right)^{3}+24 \ln \left(2\right)^{2} \ln \left(5\right)-12 \ln \left(2\right) \ln \left(5\right)^{2}+2 \ln \left(5\right)^{3}+2 i \pi +24 \ln \left(2\right)^{2}-24 \ln \left(2\right) \ln \left(5\right)+6 \ln \left(5\right)^{2}-12 \ln \left(2\right)+6 \ln \left(5\right)+2}{2 i \pi  \ln \left(5\right)+i \pi  \ln \left(5\right)^{2}-4 i \ln \left(2\right) \pi  \ln \left(5\right)-4 i \pi  \ln \left(2\right)-2 \ln \left(2\right) \pi^{2}+\pi^{2} \ln \left(5\right)+i \pi^{3}+4 i \ln \left(2\right)^{2} \pi -8 \ln \left(2\right)^{3}+12 \ln \left(2\right)^{2} \ln \left(5\right)-6 \ln \left(2\right) \ln \left(5\right)^{2}+\ln \left(5\right)^{3}+\pi^{2}+i \pi +12 \ln \left(2\right)^{2}-12 \ln \left(2\right) \ln \left(5\right)+3 \ln \left(5\right)^{2}-6 \ln \left(2\right)+3 \ln \left(5\right)+1}-x}{\ln \left(\frac{\left(x^{2}-x \right) \left(\ln \left(\frac{5}{4}\right)+i \pi \right)+x^{2}}{\ln \left(\frac{5}{4}\right)+i \pi -x}\right)+1}$&$283$\\ \hline \end{longtable}"," ",0,"-(x-2)/(ln(((x^2-x)*(ln(5)-2*ln(2)+I*Pi)+x^2)/(ln(5)-2*ln(2)+I*Pi-x))+1)","A"
4011,1,9,10,0.208000," ","int((-3*x+76)/(x-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x +\ln \left(x -25\right)$&$9$\\ norman&$-3 x +\ln \left(x -25\right)$&$9$\\ risch&$-3 x +\ln \left(x -25\right)$&$9$\\ meijerg&$\ln \left(1-\frac{x}{25}\right)-3 x$&$11$\\ \hline \end{longtable}"," ",0,"-3*x+ln(x-25)","A"
4012,1,32,29,0.046000," ","int(((4*x+12)*ln(5*x+15)^2+((-8*x-24)*ln(x)+27*x^3+99*x^2+30*x-72)*ln(5*x+15)+(4*x+12)*ln(x)^2+(-27*x^3-99*x^2-30*x+72)*ln(x)+39*x^5+143*x^4+6*x^3-267*x^2-111*x+108)/((3+x)*ln(5*x+15)^2+((-2*x-6)*ln(x)+6*x^3+20*x^2-18)*ln(5*x+15)+(3+x)*ln(x)^2+(-6*x^3-20*x^2+18)*ln(x)+9*x^5+33*x^4+x^3-57*x^2-9*x+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x +\frac{x^{2} \left(5+x \right)}{\ln \left(5 x +15\right)-3+3 x^{2}-\ln \left(x \right)+x}$&$32$\\ \hline \end{longtable}"," ",0,"4*x+x^2*(5+x)/(ln(5*x+15)-3+3*x^2-ln(x)+x)","A"
4013,1,11,10,0.086000," ","int(((-2*x^2-40*x)*ln(20+x)*ln(ln(20+x))-x^2)/(12*x+240)/ln(20+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x^{2} \ln \left(\ln \left(20+x \right)\right)}{12}$&$11$\\ risch&$-\frac{x^{2} \ln \left(\ln \left(20+x \right)\right)}{12}$&$11$\\ \hline \end{longtable}"," ",0,"-1/12*x^2*ln(ln(20+x))","A"
4014,1,9,8,0.029000," ","int(1/441*(2*x+42)*exp(1/441*x^2+2/21*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(x +21\right)^{2}}{441}}$&$9$\\ gosper&${\mathrm e}^{\frac{1}{441} x^{2}+\frac{2}{21} x +1}$&$12$\\ default&${\mathrm e}^{\frac{1}{441} x^{2}+\frac{2}{21} x +1}$&$12$\\ norman&${\mathrm e}^{\frac{1}{441} x^{2}+\frac{2}{21} x +1}$&$12$\\ \hline \end{longtable}"," ",0,"exp(1/441*(x+21)^2)","A"
4015,1,94,27,0.144000," ","int(((-2*x*ln(x)-2*x*exp(25)+4*x^2+2*x-4)*exp(-1/2*x*ln(x)-1/2*x*exp(25)+1/2*x^2+x)^4+(-6*x^2*ln(x)-6*x^2*exp(25)+12*x^3+6*x^2-12*x)*exp(-1/2*x*ln(x)-1/2*x*exp(25)+1/2*x^2+x)^3+(-6*x^3*ln(x)-6*x^3*exp(25)+12*x^4+6*x^3-12*x^2)*exp(-1/2*x*ln(x)-1/2*x*exp(25)+1/2*x^2+x)^2+(-2*x^4*ln(x)-2*x^4*exp(25)+4*x^5+2*x^4-4*x^3)*exp(-1/2*x*ln(x)-1/2*x*exp(25)+1/2*x^2+x)-x^5)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{x^{-2 x} {\mathrm e}^{-2 x \left({\mathrm e}^{25}-x -2\right)}}{x^{4}}+\frac{4 x^{-\frac{3 x}{2}} {\mathrm e}^{-\frac{3 x \left({\mathrm e}^{25}-x -2\right)}{2}}}{x^{3}}+\frac{6 x^{-x} {\mathrm e}^{-x \left({\mathrm e}^{25}-x -2\right)}}{x^{2}}+\frac{4 x^{-\frac{x}{2}} {\mathrm e}^{-\frac{x \left({\mathrm e}^{25}-x -2\right)}{2}}}{x}$&$94$\\ \hline \end{longtable}"," ",0,"-x+1/x^4*(x^(-1/2*x))^4*exp(-2*x*(exp(25)-x-2))+4/x^3*(x^(-1/2*x))^3*exp(-3/2*x*(exp(25)-x-2))+6/x^2*(x^(-1/2*x))^2*exp(-x*(exp(25)-x-2))+4/x*x^(-1/2*x)*exp(-1/2*x*(exp(25)-x-2))","B"
4016,1,11,17,0.024000," ","int(50/(x*ln(x^2)^2+50*x*ln(x^2)+625*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{25}{\ln \left(x^{2}\right)+25}$&$11$\\ norman&$-\frac{25}{\ln \left(x^{2}\right)+25}$&$11$\\ risch&$-\frac{25}{\ln \left(x^{2}\right)+25}$&$11$\\ \hline \end{longtable}"," ",0,"-25/(ln(x^2)+25)","A"
4017,1,20,16,0.029000," ","int((-exp(5)+(8*x+6)*exp(2))/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(-4 \,{\mathrm e}^{2} x +{\mathrm e}^{5}-6 \,{\mathrm e}^{2}\right) {\mathrm e}^{-5}$&$20$\\ risch&$-{\mathrm e}^{3} {\mathrm e}^{-3} x +4 \,{\mathrm e}^{-3} x^{2}+6 \,{\mathrm e}^{-3} x$&$21$\\ default&${\mathrm e}^{-5} \left(-x \,{\mathrm e}^{5}+{\mathrm e}^{2} \left(4 x^{2}+6 x \right)\right)$&$24$\\ norman&$4 \,{\mathrm e}^{2} {\mathrm e}^{-5} x^{2}-{\mathrm e}^{-5} \left({\mathrm e}^{5}-6 \,{\mathrm e}^{2}\right) x$&$27$\\ \hline \end{longtable}"," ",0,"-x*(-4*exp(2)*x+exp(5)-6*exp(2))/exp(5)","A"
4018,1,22,23,0.045000," ","int((((x+16)*ln(x)+(x^2+15*x-16)*exp(x+exp(4))-x-16)*ln(x+16)+x*ln(x)-x*exp(x+exp(4))+2*x^2)/((x+16)*ln(x)^2+((-2*x-32)*exp(x+exp(4))+4*x^2+64*x)*ln(x)+(x+16)*exp(x+exp(4))^2+(-4*x^2-64*x)*exp(x+exp(4))+4*x^3+64*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(x +16\right)}{2 x -{\mathrm e}^{x +{\mathrm e}^{4}}+\ln \left(x \right)}$&$22$\\ \hline \end{longtable}"," ",0,"x*ln(x+16)/(2*x-exp(x+exp(4))+ln(x))","A"
4019,1,23,20,0.110000," ","int(((2*x*exp(x+1)-4*exp(x)*x)*ln(x)+(4*exp(x)+2)*exp(x+1)+4*exp(x)+2)/(4*x*exp(x)^2+4*exp(x)*x+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \ln \left(x \right)+2 \,{\mathrm e} \,{\mathrm e}^{x} \ln \left(x \right)}{2 \,{\mathrm e}^{x}+1}$&$23$\\ risch&$-\frac{\left({\mathrm e}-2\right) \ln \left(x \right)}{2 \,{\mathrm e}^{x}+1}+{\mathrm e} \ln \left(x \right)$&$23$\\ \hline \end{longtable}"," ",0,"(2*ln(x)+2*exp(1)*exp(x)*ln(x))/(2*exp(x)+1)","A"
4020,1,28,26,0.040000," ","int(((2*x^3-5)*exp(exp(1))^2+16)/x^2/exp(exp(1))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(x^{3} {\mathrm e}^{2 \,{\mathrm e}}+5 \,{\mathrm e}^{2 \,{\mathrm e}}-16\right) {\mathrm e}^{-2 \,{\mathrm e}}}{x}$&$28$\\ risch&$x^{2}+\frac{5 \,{\mathrm e}^{-2 \,{\mathrm e}} {\mathrm e}^{2 \,{\mathrm e}}}{x}-\frac{16 \,{\mathrm e}^{-2 \,{\mathrm e}}}{x}$&$30$\\ default&${\mathrm e}^{-2 \,{\mathrm e}} \left({\mathrm e}^{2 \,{\mathrm e}} x^{2}-\frac{-5 \,{\mathrm e}^{2 \,{\mathrm e}}+16}{x}\right)$&$31$\\ norman&$\frac{\left(x^{3} {\mathrm e}^{{\mathrm e}}+{\mathrm e}^{-{\mathrm e}} \left(5 \,{\mathrm e}^{2 \,{\mathrm e}}-16\right)\right) {\mathrm e}^{-{\mathrm e}}}{x}$&$33$\\ \hline \end{longtable}"," ",0,"(x^3*exp(exp(1))^2+5*exp(exp(1))^2-16)/exp(exp(1))^2/x","A"
4021,1,20,24,0.213000," ","int(((2*x^3+7*x^2+2*x-3)*ln((2*x+6)/(x^2+x))-x^3-5*x^2+3*x+3)*exp((x^2-x)*ln((2*x+6)/(x^2+x)))/(x^2+4*x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{2 x +6}{x^{2}+x}\right)^{x \left(x -1\right)}$&$20$\\ norman&${\mathrm e}^{\left(x^{2}-x \right) \ln \left(\frac{2 x +6}{x^{2}+x}\right)}$&$24$\\ \hline \end{longtable}"," ",0,"((2*x+6)/(x^2+x))^(x*(x-1))","A"
4022,1,22,21,0.034000," ","int((-18*x*ln(x)+(-2*x^2+11*x)*exp(x^2-11*x+25)-18*x+3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{x^{2}-11 x +25}+3 \ln \left(x \right)-18 x \ln \left(x \right)$&$22$\\ norman&$-{\mathrm e}^{x^{2}-11 x +25}+3 \ln \left(x \right)-18 x \ln \left(x \right)$&$22$\\ risch&$-{\mathrm e}^{x^{2}-11 x +25}+3 \ln \left(x \right)-18 x \ln \left(x \right)$&$22$\\ \hline \end{longtable}"," ",0,"-exp(x^2-11*x+25)+3*ln(x)-18*x*ln(x)","A"
4023,1,7,12,0.015000," ","int(10/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-5 \,{\mathrm e}^{-2 x}$&$7$\\ derivativedivides&$-5 \,{\mathrm e}^{-2 x}$&$7$\\ default&$-5 \,{\mathrm e}^{-2 x}$&$7$\\ norman&$-5 \,{\mathrm e}^{-2 x}$&$7$\\ risch&$-5 \,{\mathrm e}^{-2 x}$&$7$\\ meijerg&$5-5 \,{\mathrm e}^{-2 x}$&$9$\\ \hline \end{longtable}"," ",0,"-5/exp(x)^2","A"
4024,1,3,4,0.012000," ","int(exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{x}$&$3$\\ lookup&${\mathrm e}^{x}$&$3$\\ derivativedivides&${\mathrm e}^{x}$&$3$\\ default&${\mathrm e}^{x}$&$3$\\ norman&${\mathrm e}^{x}$&$3$\\ risch&${\mathrm e}^{x}$&$3$\\ meijerg&${\mathrm e}^{x}-1$&$5$\\ \hline \end{longtable}"," ",0,"exp(x)","A"
4025,1,346,23,0.442000," ","int((ln(exp(x)^2*exp(ln(x)^2-5)^2)^2+(8*ln(x)+4*x)*ln(exp(x)^2*exp(ln(x)^2-5)^2))/ln(2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{100 x +8 x^{2} \ln \left(x \right)^{2}-\frac{4 x^{3}}{3}-40 x^{2}+4 x \ln \left(x \right)^{4}-40 x \ln \left(x \right)^{2}+4 x^{2} \ln \left({\mathrm e}^{x}\right)+\left(\ln \left({\mathrm e}^{2 x} {\mathrm e}^{2 \ln \left(x \right)^{2}-10}\right)-2 \ln \left({\mathrm e}^{x}\right)-2 \ln \left({\mathrm e}^{\ln \left(x \right)^{2}-5}\right)\right)^{2} x -40 \left(\ln \left({\mathrm e}^{x}\right)-x \right) x +8 \left(\ln \left({\mathrm e}^{\ln \left(x \right)^{2}-5}\right)-\ln \left(x \right)^{2}+5\right) x^{2}+4 \left(\ln \left({\mathrm e}^{2 x} {\mathrm e}^{2 \ln \left(x \right)^{2}-10}\right)-2 \ln \left({\mathrm e}^{x}\right)-2 \ln \left({\mathrm e}^{\ln \left(x \right)^{2}-5}\right)\right) x^{2}-40 \left(\ln \left({\mathrm e}^{\ln \left(x \right)^{2}-5}\right)-\ln \left(x \right)^{2}+5\right) x +4 \left(\ln \left({\mathrm e}^{\ln \left(x \right)^{2}-5}\right)-\ln \left(x \right)^{2}+5\right)^{2} x +\frac{4 \ln \left({\mathrm e}^{x}\right)^{3}}{3}+8 \ln \left(x \right)^{2} x \left(\ln \left({\mathrm e}^{x}\right)-x \right)+8 \left(\ln \left({\mathrm e}^{\ln \left(x \right)^{2}-5}\right)-\ln \left(x \right)^{2}+5\right) \left(\ln \left({\mathrm e}^{x}\right)-x \right) x +4 \left(\ln \left({\mathrm e}^{2 x} {\mathrm e}^{2 \ln \left(x \right)^{2}-10}\right)-2 \ln \left({\mathrm e}^{x}\right)-2 \ln \left({\mathrm e}^{\ln \left(x \right)^{2}-5}\right)\right) \left(\ln \left({\mathrm e}^{x}\right)-x \right) x +8 \ln \left(x \right)^{2} x \left(\ln \left({\mathrm e}^{\ln \left(x \right)^{2}-5}\right)-\ln \left(x \right)^{2}+5\right)+4 \ln \left({\mathrm e}^{\ln \left(x \right)^{2}-5}\right) x \left(\ln \left({\mathrm e}^{2 x} {\mathrm e}^{2 \ln \left(x \right)^{2}-10}\right)-2 \ln \left({\mathrm e}^{x}\right)-2 \ln \left({\mathrm e}^{\ln \left(x \right)^{2}-5}\right)\right)}{\ln \left(2\right)^{4}}$&$346$\\ risch&$\text{Expression too large to display}$&$2993$\\ \hline \end{longtable}"," ",0,"1/ln(2)^4*(100*x+8*x^2*ln(x)^2-4/3*x^3-40*x^2+4*x*ln(x)^4-40*x*ln(x)^2+4*x^2*ln(exp(x))+(ln(exp(x)^2*exp(ln(x)^2-5)^2)-2*ln(exp(x))-2*ln(exp(ln(x)^2-5)))^2*x-40*(ln(exp(x))-x)*x+8*(ln(exp(ln(x)^2-5))-ln(x)^2+5)*x^2+4*(ln(exp(x)^2*exp(ln(x)^2-5)^2)-2*ln(exp(x))-2*ln(exp(ln(x)^2-5)))*x^2-40*(ln(exp(ln(x)^2-5))-ln(x)^2+5)*x+4*(ln(exp(ln(x)^2-5))-ln(x)^2+5)^2*x+4/3*ln(exp(x))^3+8*ln(x)^2*x*(ln(exp(x))-x)+8*(ln(exp(ln(x)^2-5))-ln(x)^2+5)*(ln(exp(x))-x)*x+4*(ln(exp(x)^2*exp(ln(x)^2-5)^2)-2*ln(exp(x))-2*ln(exp(ln(x)^2-5)))*(ln(exp(x))-x)*x+8*ln(x)^2*x*(ln(exp(ln(x)^2-5))-ln(x)^2+5)+4*ln(exp(ln(x)^2-5))*x*(ln(exp(x)^2*exp(ln(x)^2-5)^2)-2*ln(exp(x))-2*ln(exp(ln(x)^2-5))))","B"
4026,1,5,11,0.017000," ","int(19/32/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{19 \ln \left(x \right)}{32}$&$5$\\ norman&$\frac{19 \ln \left(x \right)}{32}$&$5$\\ risch&$\frac{19 \ln \left(x \right)}{32}$&$5$\\ \hline \end{longtable}"," ",0,"19/32*ln(x)","A"
4027,1,10,15,0.087000," ","int(1/2*(15-5*x)/x^4/exp(-x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \,{\mathrm e}^{x -4}}{2 x^{3}}$&$10$\\ gosper&$-\frac{5 \,{\mathrm e}^{x -4}}{2 x^{3}}$&$14$\\ norman&$-\frac{5 \,{\mathrm e}^{x -4}}{2 x^{3}}$&$14$\\ derivativedivides&$-\frac{5 \,{\mathrm e}^{x -4} \left(\left(-x +4\right)^{2}+9 x -8\right)}{12 x^{3}}+\frac{5 \,{\mathrm e}^{x -4} \left(\left(-x +4\right)^{2}+9 x -14\right)}{12 x^{3}}$&$44$\\ default&$-\frac{5 \,{\mathrm e}^{x -4} \left(\left(-x +4\right)^{2}+9 x -8\right)}{12 x^{3}}+\frac{5 \,{\mathrm e}^{x -4} \left(\left(-x +4\right)^{2}+9 x -14\right)}{12 x^{3}}$&$44$\\ meijerg&$-\frac{15 \,{\mathrm e}^{-x \,{\mathrm e}^{-4}-16+x} \left(\frac{{\mathrm e}^{12}}{3 x^{3}}+\frac{{\mathrm e}^{8}}{2 x^{2}}+\frac{{\mathrm e}^{4}}{2 x}+\frac{35}{36}-\frac{\ln \left(x \right)}{6}-\frac{i \pi}{6}-\frac{{\mathrm e}^{12} \left(22 x^{3} {\mathrm e}^{-12}+36 x^{2} {\mathrm e}^{-8}+36 x \,{\mathrm e}^{-4}+24\right)}{72 x^{3}}+\frac{{\mathrm e}^{12+x \,{\mathrm e}^{-4}} \left(4 x^{2} {\mathrm e}^{-8}+4 x \,{\mathrm e}^{-4}+8\right)}{24 x^{3}}+\frac{\ln \left(-x \,{\mathrm e}^{-4}\right)}{6}+\frac{\expIntegralEi \left(1, -x \,{\mathrm e}^{-4}\right)}{6}\right)}{2}-\frac{5 \,{\mathrm e}^{x -12-x \,{\mathrm e}^{-4}} \left(-\frac{{\mathrm e}^{8}}{2 x^{2}}-\frac{{\mathrm e}^{4}}{x}-\frac{11}{4}+\frac{\ln \left(x \right)}{2}+\frac{i \pi}{2}+\frac{{\mathrm e}^{8} \left(9 x^{2} {\mathrm e}^{-8}+12 x \,{\mathrm e}^{-4}+6\right)}{12 x^{2}}-\frac{{\mathrm e}^{8+x \,{\mathrm e}^{-4}} \left(3 x \,{\mathrm e}^{-4}+3\right)}{6 x^{2}}-\frac{\ln \left(-x \,{\mathrm e}^{-4}\right)}{2}-\frac{\expIntegralEi \left(1, -x \,{\mathrm e}^{-4}\right)}{2}\right)}{2}$&$207$\\ \hline \end{longtable}"," ",0,"-5/2/x^3*exp(x-4)","A"
4028,1,19,19,0.015000," ","int(1/30*(-30*ln(x)-30*x^2-30*x+31)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{1}{30}-x \ln \left(x \right)-x^{2}+\ln \left(x \right)}{x}$&$19$\\ default&$\frac{\ln \left(x \right)}{x}-x -\frac{1}{30 x}-\ln \left(x \right)$&$20$\\ risch&$\frac{\ln \left(x \right)}{x}-\frac{30 x \ln \left(x \right)+30 x^{2}+1}{30 x}$&$25$\\ \hline \end{longtable}"," ",0,"(-1/30-x*ln(x)-x^2+ln(x))/x","A"
4029,1,10,7,0.015000," ","int(2*exp(6)+2*x+10,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \left(x +2 \,{\mathrm e}^{6}+10\right)$&$10$\\ default&$2 x \,{\mathrm e}^{6}+x^{2}+10 x$&$13$\\ norman&$x^{2}+\left(2 \,{\mathrm e}^{6}+10\right) x$&$13$\\ risch&$2 x \,{\mathrm e}^{6}+x^{2}+10 x$&$13$\\ \hline \end{longtable}"," ",0,"x*(x+2*exp(6)+10)","A"
4030,1,19,25,0.035000," ","int(((-x^3-2*x^2)*exp(x)-2*x+2)/(2*x*ln(1/3*x/exp(5))-exp(x)*x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-\frac{{\mathrm e}^{x} x^{2}}{2}-x +\ln \left(\frac{x \,{\mathrm e}^{-5}}{3}\right)\right)$&$19$\\ norman&$\ln \left({\mathrm e}^{x} x^{2}-2 \ln \left(\frac{x \,{\mathrm e}^{-5}}{3}\right)+2 x \right)$&$22$\\ \hline \end{longtable}"," ",0,"ln(-1/2*exp(x)*x^2-x+ln(1/3*x*exp(-5)))","A"
4031,1,44,28,0.126000," ","int((((-2*x-1)*exp(x^2+x)+2*x^2+x)*ln(-x*exp(x^2+x)+x^2)+(-2*x^3-3*x^2+4*x+14)*exp(x^2+x)-4*x^2-13*x)/(3*exp(x^2+x)-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+5 x -\frac{\ln \left(-x \,{\mathrm e}^{x^{2}+x}+x^{2}\right) x}{3}-\frac{\ln \left(-x \,{\mathrm e}^{x^{2}+x}+x^{2}\right) x^{2}}{3}$&$44$\\ risch&$\left(-\frac{1}{3} x^{2}-\frac{1}{3} x \right) \ln \left(-{\mathrm e}^{\left(x +1\right) x}+x \right)-\frac{x^{2} \ln \left(x \right)}{3}-\frac{x \ln \left(x \right)}{3}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{\left(x +1\right) x}+x \right)\right) \mathrm{csgn}\left(i x \left(-{\mathrm e}^{\left(x +1\right) x}+x \right)\right)}{6}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(-{\mathrm e}^{\left(x +1\right) x}+x \right)\right)^{2}}{6}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(-{\mathrm e}^{\left(x +1\right) x}+x \right)\right) \mathrm{csgn}\left(i x \left(-{\mathrm e}^{\left(x +1\right) x}+x \right)\right)^{2}}{6}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \left(-{\mathrm e}^{\left(x +1\right) x}+x \right)\right)^{3}}{6}+\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{\left(x +1\right) x}+x \right)\right) \mathrm{csgn}\left(i x \left(-{\mathrm e}^{\left(x +1\right) x}+x \right)\right)}{6}-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(-{\mathrm e}^{\left(x +1\right) x}+x \right)\right)^{2}}{6}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{\left(x +1\right) x}+x \right)\right) \mathrm{csgn}\left(i x \left(-{\mathrm e}^{\left(x +1\right) x}+x \right)\right)^{2}}{6}+\frac{i \pi  x \mathrm{csgn}\left(i x \left(-{\mathrm e}^{\left(x +1\right) x}+x \right)\right)^{3}}{6}+x^{2}+5 x$&$297$\\ \hline \end{longtable}"," ",0,"x^2+5*x-1/3*ln(-x*exp(x^2+x)+x^2)*x-1/3*ln(-x*exp(x^2+x)+x^2)*x^2","A"
4032,1,25,19,0.291000," ","int(((-18*x^3-216*x^2-864*x-1152)*exp(6/25/x^3)+25*x^7+300*x^6+1250*x^5+1600*x^4)/(25*x^7+300*x^6+1200*x^5+1600*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{-2 x -4}{x^{2}+8 x +16}+{\mathrm e}^{\frac{6}{25 x^{3}}}$&$25$\\ norman&$\frac{x^{6}-132 x^{3}-50 x^{4}+{\mathrm e}^{\frac{6}{25 x^{3}}} x^{5}+16 \,{\mathrm e}^{\frac{6}{25 x^{3}}} x^{3}+8 \,{\mathrm e}^{\frac{6}{25 x^{3}}} x^{4}}{x^{3} \left(4+x \right)^{2}}$&$56$\\ \hline \end{longtable}"," ",0,"x+(-2*x-4)/(x^2+8*x+16)+exp(6/25/x^3)","A"
4033,1,33,20,0.056000," ","int(((x^3-x^2+2*x)*ln(x/(x^2-x+2))-x^3-x^2+2*x+2)/(5*x^3-5*x^2+10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(x^{2}-x +2\right)}{5}+\frac{\ln \left(x \right)}{5}+\frac{\ln \left(\frac{x}{x^{2}-x +2}\right) x}{5}$&$33$\\ norman&$\frac{\ln \left(\frac{x}{x^{2}-x +2}\right)}{5}+\frac{\ln \left(\frac{x}{x^{2}-x +2}\right) x}{5}$&$33$\\ risch&$-\frac{\ln \left(x^{2}-x +2\right)}{5}+\frac{\ln \left(x \right)}{5}+\frac{\ln \left(\frac{x}{x^{2}-x +2}\right) x}{5}$&$33$\\ \hline \end{longtable}"," ",0,"-1/5*ln(x^2-x+2)+1/5*ln(x)+1/5*ln(x/(x^2-x+2))*x","A"
4034,1,16,17,0.139000," ","int(((-16*exp(4)*exp(x)*exp(exp(x))-16)*exp(exp(4)*exp(exp(x)))-48)/(exp(exp(4)*exp(exp(x)))+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-16 x -16 \ln \left({\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}+4}}+3\right)$&$16$\\ norman&$-16 x -16 \ln \left({\mathrm e}^{{\mathrm e}^{4} {\mathrm e}^{{\mathrm e}^{x}}}+3\right)$&$17$\\ \hline \end{longtable}"," ",0,"-16*x-16*ln(exp(exp(exp(x)+4))+3)","A"
4035,1,7,11,0.023000," ","int((1-x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-x$&$7$\\ norman&$\ln \left(x \right)-x$&$7$\\ risch&$\ln \left(x \right)-x$&$7$\\ \hline \end{longtable}"," ",0,"ln(x)-x","A"
4036,1,3,9,0.005000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
4037,1,54,25,0.042000," ","int(1/9*(-16*x-1)*exp(x)^16+1/9*(224*x+16)*exp(x)^14+1/9*(-1152*x-96)*exp(x)^12+1/9*(2560*x+256)*exp(x)^10+1/9*(-2000*x-250)*exp(x)^8+1/9*(-288*x-48)*exp(x)^6+1/9*(384*x+96)*exp(x)^4-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\frac{250 x \,{\mathrm e}^{8 x}}{9}-\frac{32 \,{\mathrm e}^{12 x} x}{3}-\frac{16 x \,{\mathrm e}^{6 x}}{3}-\frac{{\mathrm e}^{16 x} x}{9}+\frac{16 \,{\mathrm e}^{14 x} x}{9}+\frac{32 x \,{\mathrm e}^{4 x}}{3}+\frac{256 \,{\mathrm e}^{10 x} x}{9}$&$54$\\ risch&$-x -\frac{250 x \,{\mathrm e}^{8 x}}{9}-\frac{32 \,{\mathrm e}^{12 x} x}{3}-\frac{16 x \,{\mathrm e}^{6 x}}{3}-\frac{{\mathrm e}^{16 x} x}{9}+\frac{16 \,{\mathrm e}^{14 x} x}{9}+\frac{32 x \,{\mathrm e}^{4 x}}{3}+\frac{256 \,{\mathrm e}^{10 x} x}{9}$&$54$\\ \hline \end{longtable}"," ",0,"-x-250/9*x*exp(x)^8-32/3*exp(x)^12*x-16/3*x*exp(x)^6-1/9*exp(x)^16*x+16/9*exp(x)^14*x+32/3*x*exp(x)^4+256/9*exp(x)^10*x","B"
4038,1,128,34,0.311000," ","int((((-58564*x+58564)*ln(5*x)^2+29282*ln(5*x))*exp(1+ln(x)-x)^4+((-351384*x+351384)*ln(5*x)^2+234256*ln(5*x))*exp(1+ln(x)-x)^3+((-702768*x+702768)*ln(5*x)^2+702768*ln(5*x))*exp(1+ln(x)-x)^2+((-468512*x+468512)*ln(5*x)^2+937024*ln(5*x))*exp(1+ln(x)-x)+468512*ln(5*x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$234256 \ln \left(x \right)^{2}+468512 \ln \left(5\right) \ln \left(x \right)+\left(14641 \ln \left(5\right)^{2}+29282 \ln \left(5\right) \ln \left(x \right)+14641 \ln \left(x \right)^{2}\right) x^{4} {\mathrm e}^{-4 x +4}+\left(117128 \ln \left(5\right)^{2}+234256 \ln \left(5\right) \ln \left(x \right)+117128 \ln \left(x \right)^{2}\right) x^{3} {\mathrm e}^{-3 x +3}+\left(351384 \ln \left(5\right)^{2}+702768 \ln \left(5\right) \ln \left(x \right)+351384 \ln \left(x \right)^{2}\right) x^{2} {\mathrm e}^{-2 x +2}+\left(468512 \ln \left(5\right)^{2}+937024 \ln \left(5\right) \ln \left(x \right)+468512 \ln \left(x \right)^{2}\right) x \,{\mathrm e}^{1-x}$&$128$\\ \hline \end{longtable}"," ",0,"234256*ln(x)^2+468512*ln(5)*ln(x)+(14641*ln(5)^2+29282*ln(5)*ln(x)+14641*ln(x)^2)*x^4*exp(-4*x+4)+(117128*ln(5)^2+234256*ln(5)*ln(x)+117128*ln(x)^2)*x^3*exp(-3*x+3)+(351384*ln(5)^2+702768*ln(5)*ln(x)+351384*ln(x)^2)*x^2*exp(-2*x+2)+(468512*ln(5)^2+937024*ln(5)*ln(x)+468512*ln(x)^2)*x*exp(1-x)","B"
4039,1,18,21,0.031000," ","int((-4*x^6*ln(x)^2+(8*x^5+20*x)*ln(x)-4*x^4+5*x-15)/(x^6*ln(x)^2-2*x^5*ln(x)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x -\frac{5}{x^{3} \left(x \ln \left(x \right)-1\right)}$&$18$\\ norman&$\frac{-5+4 x^{4}-4 x^{5} \ln \left(x \right)}{x^{3} \left(x \ln \left(x \right)-1\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-4*x-5/x^3/(x*ln(x)-1)","A"
4040,1,18,19,0.021000," ","int((x*ln(x^2)+2*x^2+5*x-6)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x +x^{2}-6 \ln \left(x \right)+x \ln \left(x^{2}\right)$&$18$\\ norman&$3 x +x^{2}-6 \ln \left(x \right)+x \ln \left(x^{2}\right)$&$18$\\ risch&$3 x +x^{2}-6 \ln \left(x \right)+x \ln \left(x^{2}\right)$&$18$\\ \hline \end{longtable}"," ",0,"3*x+x^2-6*ln(x)+x*ln(x^2)","A"
4041,1,24,22,0.172000," ","int(((-2*x^2-10)*exp(2*x)*ln(x^4+10*x^2+25)+(10*x^2+50)*exp(2*x)+20*x)/((x^2+5)*ln(x^4+10*x^2+25)-5*x^2-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{2 x}+5 \ln \left(\ln \left(x^{4}+10 x^{2}+25\right)-5\right)$&$24$\\ norman&$-{\mathrm e}^{2 x}+5 \ln \left(\ln \left(x^{4}+10 x^{2}+25\right)-5\right)$&$24$\\ risch&$-{\mathrm e}^{2 x}+5 \ln \left(\ln \left(x^{2}+5\right)-\frac{i \left(\pi  \mathrm{csgn}\left(i \left(x^{2}+5\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+5\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(x^{2}+5\right)\right) \mathrm{csgn}\left(i \left(x^{2}+5\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(x^{2}+5\right)^{2}\right)^{3}-10 i\right)}{4}\right)$&$88$\\ \hline \end{longtable}"," ",0,"-exp(2*x)+5*ln(ln(x^4+10*x^2+25)-5)","A"
4042,1,26,26,0.161000," ","int((((4*x+16)*exp(x)-12*x-36)*exp(-1/3*exp(x)+x)-12*x^2-96*x-48)*exp((-12*exp(-1/3*exp(x)+x)-12*x^2-4*x+32)/(4+x))/(x^2+8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{4 \left(3 x^{2}+3 \,{\mathrm e}^{-\frac{{\mathrm e}^{x}}{3}+x}+x -8\right)}{4+x}}$&$26$\\ norman&$\frac{x \,{\mathrm e}^{\frac{-12 \,{\mathrm e}^{-\frac{{\mathrm e}^{x}}{3}+x}-12 x^{2}-4 x +32}{4+x}}+4 \,{\mathrm e}^{\frac{-12 \,{\mathrm e}^{-\frac{{\mathrm e}^{x}}{3}+x}-12 x^{2}-4 x +32}{4+x}}}{4+x}$&$64$\\ \hline \end{longtable}"," ",0,"exp(-4*(3*x^2+3*exp(-1/3*exp(x)+x)+x-8)/(4+x))","A"
4043,1,21,23,0.098000," ","int(((18*x^2-72*x+72)*ln(2*x)^3+(8*x^5-20*x^4)*ln(2*x)-4*x^5+8*x^4)/(9*x^2-36*x+36)/ln(2*x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{2 x^{5}}{9 \left(x -2\right) \ln \left(2 x \right)^{2}}$&$21$\\ norman&$\frac{-8 \ln \left(2 x \right)^{2}+\frac{2 x^{5}}{9}+2 x^{2} \ln \left(2 x \right)^{2}}{\left(x -2\right) \ln \left(2 x \right)^{2}}$&$38$\\ \hline \end{longtable}"," ",0,"2*x+2/9*x^5/(x-2)/ln(2*x)^2","A"
4044,1,19,21,0.160000," ","int((-3*ln(9*exp(3)^2)+3*exp(2)-6*x-3)/(x^2*ln(9*exp(3)^2)^2+(-2*x^2*exp(2)+2*x^3+2*x^2)*ln(9*exp(3)^2)+x^2*exp(2)^2+(-2*x^3-2*x^2)*exp(2)+x^4+2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{3}{x \left({\mathrm e}^{2}-2 \ln \left(3\right)-x -7\right)}$&$19$\\ risch&$-\frac{3}{x \left({\mathrm e}^{2}-2 \ln \left(3\right)-x -7\right)}$&$19$\\ gosper&$-\frac{3}{x \left(-x -1+{\mathrm e}^{2}-\ln \left(9 \,{\mathrm e}^{6}\right)\right)}$&$24$\\ \hline \end{longtable}"," ",0,"-3/x/(exp(2)-2*ln(3)-x-7)","A"
4045,1,8,18,0.012000," ","int((ln(x)-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(x \right)}{x}$&$8$\\ norman&$-\frac{\ln \left(x \right)}{x}$&$8$\\ risch&$-\frac{\ln \left(x \right)}{x}$&$8$\\ \hline \end{longtable}"," ",0,"-ln(x)/x","A"
4046,1,28,20,0.249000," ","int((2*x*ln(3/2*exp(x)*x^2)^2-13*x*ln(3/2*exp(x)*x^2)+13*x^2+22*x-8)/x/ln(3/2*exp(x)*x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4+2 x \ln \left(\frac{3 \,{\mathrm e}^{x} x^{2}}{2}\right)-13 x}{\ln \left(\frac{3 \,{\mathrm e}^{x} x^{2}}{2}\right)}$&$28$\\ default&$\frac{\left(-4 \ln \left(\frac{3 \,{\mathrm e}^{x} x^{2}}{2}\right)+8 \ln \left(x \right)+4 x +26\right) \ln \left(x \right)+4 x \ln \left(x \right)+2 x^{2}+4-2 \left(\ln \left(\frac{3 \,{\mathrm e}^{x} x^{2}}{2}\right)-2 \ln \left(x \right)-x \right)^{2}+13 \ln \left(\frac{3 \,{\mathrm e}^{x} x^{2}}{2}\right)-26 \ln \left(x \right)-13 x}{\ln \left(\frac{3 \,{\mathrm e}^{x} x^{2}}{2}\right)}$&$83$\\ risch&$2 x -\frac{2 i \left(13 x -4\right)}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{x}\right)-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{x}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{x}\right)^{3}-2 i \ln \left(2\right)+2 i \ln \left(3\right)+4 i \ln \left(x \right)+2 i \ln \left({\mathrm e}^{x}\right)}$&$159$\\ \hline \end{longtable}"," ",0,"(4+2*x*ln(3/2*exp(x)*x^2)-13*x)/ln(3/2*exp(x)*x^2)","A"
4047,1,14,12,0.018000," ","int(6*exp(6*x)-4*x+8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$8 x -2 x^{2}+{\mathrm e}^{6 x}$&$14$\\ default&$8 x -2 x^{2}+{\mathrm e}^{6 x}$&$14$\\ norman&$8 x -2 x^{2}+{\mathrm e}^{6 x}$&$14$\\ risch&$8 x -2 x^{2}+{\mathrm e}^{6 x}$&$14$\\ \hline \end{longtable}"," ",0,"8*x-2*x^2+exp(6*x)","A"
4048,1,831,23,0.258000," ","int(((-2*ln(2)*exp(3+x)+ln(2))*ln(x^2)*ln((-2*exp(3+x)+1)*ln(x^2))-2*x*ln(2)*exp(3+x)*ln(x^2)-4*ln(2)*exp(3+x)+2*ln(2))/(2*x^2*exp(3+x)-x^2)/ln(x^2)/ln((-2*exp(3+x)+1)*ln(x^2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i \ln \left(2\right)}{x \left(\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{3+x}-\frac{1}{2}\right) \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right) \mathrm{csgn}\left(\left({\mathrm e}^{3+x}-\frac{1}{2}\right) \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right)+\pi  \mathrm{csgn}\left(\left({\mathrm e}^{3+x}-\frac{1}{2}\right) \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{3+x}-\frac{1}{2}\right)\right) \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{3+x}-\frac{1}{2}\right) \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right)-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{3+x}-\frac{1}{2}\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{3+x}-\frac{1}{2}\right) \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{3+x}-\frac{1}{2}\right) \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right)^{2}+\pi  \mathrm{csgn}\left(i \left({\mathrm e}^{3+x}-\frac{1}{2}\right) \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right)^{3}-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{3+x}-\frac{1}{2}\right) \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right) \mathrm{csgn}\left(\left({\mathrm e}^{3+x}-\frac{1}{2}\right) \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right)^{2}-\pi  \mathrm{csgn}\left(\left({\mathrm e}^{3+x}-\frac{1}{2}\right) \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right)^{3}-\pi +2 i \ln \left({\mathrm e}^{3+x}-\frac{1}{2}\right)+2 i \ln \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right)}$&$831$\\ \hline \end{longtable}"," ",0,"2*I*ln(2)/x/(Pi*csgn(I*(exp(3+x)-1/2)*(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn((exp(3+x)-1/2)*(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))+Pi*csgn((exp(3+x)-1/2)*(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2+Pi*csgn(I*(exp(3+x)-1/2))*csgn(I*(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(I*(exp(3+x)-1/2)*(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))-Pi*csgn(I*(exp(3+x)-1/2))*csgn(I*(exp(3+x)-1/2)*(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2-Pi*csgn(I*(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(I*(exp(3+x)-1/2)*(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2+Pi*csgn(I*(exp(3+x)-1/2)*(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^3-Pi*csgn(I*(exp(3+x)-1/2)*(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn((exp(3+x)-1/2)*(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2-Pi*csgn((exp(3+x)-1/2)*(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^3-Pi+2*I*ln(exp(3+x)-1/2)+2*I*ln(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))","C"
4049,1,20,19,0.089000," ","int(((-6*x^3-3*x^2+6*x)*exp(3)+16*x+8)/(3*x^2*exp(3)-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}-x +\ln \left(3 x^{2} {\mathrm e}^{3}-8\right)$&$20$\\ norman&$-x^{2}-x +\ln \left(3 x^{2} {\mathrm e}^{3}-8\right)$&$20$\\ risch&$-x^{2}-x +\ln \left(3 x^{2} {\mathrm e}^{3}-8\right)$&$20$\\ meijerg&$-\frac{2 \sqrt{3}\, \sqrt{2}\, {\mathrm e}^{-\frac{3}{2}} \arctanh \left(\frac{x \sqrt{3}\, \sqrt{2}\, {\mathrm e}^{\frac{3}{2}}}{4}\right)}{3}+\frac{8 \,{\mathrm e}^{-3} \left(-\frac{3 x^{2} {\mathrm e}^{3}}{8}-\ln \left(1-\frac{3 x^{2} {\mathrm e}^{3}}{8}\right)\right)}{3}+\frac{i \sqrt{6}\, {\mathrm e}^{-\frac{3}{2}} \left(\frac{i \sqrt{6}\, x \,{\mathrm e}^{\frac{3}{2}}}{2}-2 i \arctanh \left(\frac{x \sqrt{3}\, \sqrt{2}\, {\mathrm e}^{\frac{3}{2}}}{4}\right)\right)}{3}+\frac{\left(6 \,{\mathrm e}^{3}+16\right) {\mathrm e}^{-3} \ln \left(1-\frac{3 x^{2} {\mathrm e}^{3}}{8}\right)}{6}$&$101$\\ \hline \end{longtable}"," ",0,"-x^2-x+ln(3*x^2*exp(3)-8)","A"
4050,1,35,26,0.049000," ","int(((-x^2+4*x-4)*exp(8*exp(x))^2+((-8*x^6+32*x^5-32*x^4)*exp(x)+3*x^5-12*x^4+6*x^3+12*x^2)*exp(8*exp(x))+6*x^6-6*x^5-9*x^4)/((x^3-4*x^2+4*x)*exp(8*exp(x))^2+(6*x^4-12*x^3)*exp(8*exp(x))+9*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\frac{\left(x -2\right) x^{3}}{{\mathrm e}^{8 \,{\mathrm e}^{x}} x +3 x^{2}-2 \,{\mathrm e}^{8 \,{\mathrm e}^{x}}}$&$35$\\ \hline \end{longtable}"," ",0,"-ln(x)+(x-2)*x^3/(exp(8*exp(x))*x+3*x^2-2*exp(8*exp(x)))","A"
4051,1,19,20,0.108000," ","int(((2*(2*x^2-100*x)*ln(13)+8*x^2-400*x)*ln(-x+50)-2*x^2*ln(13)-4*x^2)*exp(1/20*(2*x^2*ln(13)+4*x^2)/ln(-x+50))/(20*x-1000)/ln(-x+50)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{2} \left(\ln \left(13\right)+2\right)}{10 \ln \left(-x +50\right)}}$&$19$\\ norman&${\mathrm e}^{\frac{2 x^{2} \ln \left(13\right)+4 x^{2}}{20 \ln \left(-x +50\right)}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(1/10*x^2*(ln(13)+2)/ln(-x+50))","A"
4052,1,14,21,0.099000," ","int(((1-x)*exp(x/exp(2)/exp(ln(2*x+2)+5)^2)+(x+1)*exp(2)*exp(ln(2*x+2)+5)^2)/(x+1)/exp(2)/exp(ln(2*x+2)+5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{x \,{\mathrm e}^{-12}}{4 \left(x +1\right)^{2}}}$&$14$\\ default&${\mathrm e}^{-2} \left({\mathrm e}^{12} {\mathrm e}^{-10-\frac{{\mathrm e}^{-12}}{4 \left(x +1\right)^{2}}+\frac{{\mathrm e}^{-12}}{4 x +4}}+{\mathrm e}^{2} x \right)$&$37$\\ norman&$\frac{\left(x^{3} {\mathrm e}^{5}-3 x \,{\mathrm e}^{5}+{\mathrm e}^{5} {\mathrm e}^{\frac{x \,{\mathrm e}^{-2} {\mathrm e}^{-10}}{\left(2 x +2\right)^{2}}}+x^{2} {\mathrm e}^{5} {\mathrm e}^{\frac{x \,{\mathrm e}^{-2} {\mathrm e}^{-10}}{\left(2 x +2\right)^{2}}}+2 x \,{\mathrm e}^{5} {\mathrm e}^{\frac{x \,{\mathrm e}^{-2} {\mathrm e}^{-10}}{\left(2 x +2\right)^{2}}}-2 \,{\mathrm e}^{5}\right) {\mathrm e}^{-5}}{\left(x +1\right)^{2}}$&$95$\\ \hline \end{longtable}"," ",0,"x+exp(1/4*x*exp(-12)/(x+1)^2)","A"
4053,1,24,17,0.054000," ","int((-36*x^4-36*x^3)*exp(x)^4+((12*x^2+12*x)*exp(1)+72*x^2+72*x)*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-9 x^{4} {\mathrm e}^{4 x}+6 \left({\mathrm e}+6\right) x^{2} {\mathrm e}^{2 x}$&$24$\\ norman&$\left(6 \,{\mathrm e}+36\right) x^{2} {\mathrm e}^{2 x}-9 x^{4} {\mathrm e}^{4 x}$&$25$\\ default&$36 \,{\mathrm e}^{2 x} x^{2}+12 \,{\mathrm e} \left(\frac{{\mathrm e}^{2 x} x^{2}}{2}-\frac{x \,{\mathrm e}^{2 x}}{2}+\frac{{\mathrm e}^{2 x}}{4}\right)+12 \,{\mathrm e} \left(\frac{x \,{\mathrm e}^{2 x}}{2}-\frac{{\mathrm e}^{2 x}}{4}\right)-9 x^{4} {\mathrm e}^{4 x}$&$65$\\ meijerg&$-\frac{9 \left(1280 x^{4}-1280 x^{3}+960 x^{2}-480 x +120\right) {\mathrm e}^{4 x}}{1280}+\frac{9 \left(-256 x^{3}+192 x^{2}-96 x +24\right) {\mathrm e}^{4 x}}{256}-\frac{3 \left({\mathrm e}+6\right) \left(2-\frac{\left(12 x^{2}-12 x +6\right) {\mathrm e}^{2 x}}{3}\right)}{2}+3 \left({\mathrm e}+6\right) \left(1-\frac{\left(-4 x +2\right) {\mathrm e}^{2 x}}{2}\right)$&$92$\\ \hline \end{longtable}"," ",0,"-9*x^4*exp(4*x)+6*(exp(1)+6)*x^2*exp(2*x)","A"
4054,1,28,24,0.092000," ","int(((81*x^6-972*x^5+3888*x^4-5184*x^3)*exp(3+x)+(2*x^4-14*x^3+24*x^2-20*x+8)*exp(x)^2)/(81*x^6-972*x^5+3888*x^4-5184*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2}-2 x +1\right) {\mathrm e}^{2 x}}{81 \left(x -4\right)^{2} x^{2}}+{\mathrm e}^{3+x}$&$28$\\ norman&$\frac{{\mathrm e}^{x} {\mathrm e}^{3} x^{4}+\frac{{\mathrm e}^{2 x}}{81}-\frac{2 x \,{\mathrm e}^{2 x}}{81}+\frac{{\mathrm e}^{2 x} x^{2}}{81}+16 x^{2} {\mathrm e}^{3} {\mathrm e}^{x}-8 \,{\mathrm e}^{x} {\mathrm e}^{3} x^{3}}{\left(x -4\right)^{2} x^{2}}$&$59$\\ default&$\frac{{\mathrm e}^{2 x}}{144 \left(x -4\right)^{2}}+\frac{{\mathrm e}^{2 x}}{864 x -3456}-\frac{{\mathrm e}^{2 x}}{864 x}+\frac{{\mathrm e}^{2 x}}{1296 x^{2}}-64 \,{\mathrm e}^{3} \left(-\frac{{\mathrm e}^{x}}{2 \left(x -4\right)^{2}}-\frac{{\mathrm e}^{x}}{2 \left(x -4\right)}-\frac{{\mathrm e}^{4} \expIntegralEi \left(1, -x +4\right)}{2}\right)+48 \,{\mathrm e}^{3} \left(-\frac{2 \,{\mathrm e}^{x}}{\left(x -4\right)^{2}}-\frac{3 \,{\mathrm e}^{x}}{x -4}-3 \,{\mathrm e}^{4} \expIntegralEi \left(1, -x +4\right)\right)-12 \,{\mathrm e}^{3} \left(-\frac{8 \,{\mathrm e}^{x}}{\left(x -4\right)^{2}}-\frac{16 \,{\mathrm e}^{x}}{x -4}-17 \,{\mathrm e}^{4} \expIntegralEi \left(1, -x +4\right)\right)+{\mathrm e}^{3} \left({\mathrm e}^{x}-\frac{32 \,{\mathrm e}^{x}}{\left(x -4\right)^{2}}-\frac{80 \,{\mathrm e}^{x}}{x -4}-92 \,{\mathrm e}^{4} \expIntegralEi \left(1, -x +4\right)\right)$&$179$\\ \hline \end{longtable}"," ",0,"1/81*(x^2-2*x+1)/(x-4)^2/x^2*exp(2*x)+exp(3+x)","A"
4055,1,31,22,0.058000," ","int(1/5*(-6*x^2*ln(x)+(30*x^2-6*x)*exp(1)+60*x^3-6*x^2+20*x)/exp(1/5*(3*exp(1)+3*x)*ln(x)-3*x*exp(1)-3*x^2+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2} x^{-\frac{3 x}{5}-\frac{3 \,{\mathrm e}}{5}} {\mathrm e}^{-12+3 x \,{\mathrm e}+3 x^{2}}$&$31$\\ norman&$2 x^{2} {\mathrm e}^{\left(3 \,{\mathrm e}+3 x \right) \ln \left(\frac{1}{x^{\frac{1}{5}}}\right)+3 x \,{\mathrm e}+3 x^{2}-12}$&$33$\\ \hline \end{longtable}"," ",0,"2*x^2/(x^(3/5*x+3/5*exp(1)))*exp(-12+3*x*exp(1)+3*x^2)","A"
4056,1,49,32,0.122000," ","int(((x^2+5*x)*ln(x^2+10*x+25)^2+(2*x^3+2*x^2-42*x-10)*ln(x^2+10*x+25)+x^4-3*x^3-28*x^2+64*x+40)*exp((4*x*ln(x^2+10*x+25)+4*x^2-16*x+2)/(x*ln(x^2+10*x+25)+x^2-4*x))*exp(1/3*x*exp((4*x*ln(x^2+10*x+25)+4*x^2-16*x+2)/(x*ln(x^2+10*x+25)+x^2-4*x))+4/5)/((3*x^2+15*x)*ln(x^2+10*x+25)^2+(6*x^3+6*x^2-120*x)*ln(x^2+10*x+25)+3*x^4-9*x^3-72*x^2+240*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \,{\mathrm e}^{\frac{4 x \ln \left(x^{2}+10 x +25\right)+4 x^{2}-16 x +2}{x \left(\ln \left(x^{2}+10 x +25\right)+x -4\right)}}}{3}+\frac{4}{5}}$&$49$\\ \hline \end{longtable}"," ",0,"exp(1/3*x*exp(2*(2*x*ln(x^2+10*x+25)+2*x^2-8*x+1)/x/(ln(x^2+10*x+25)+x-4))+4/5)","A"
4057,1,55,26,0.120000," ","int((((2*x^2+2*x)*exp(1)^4*exp(3)+(2*x^3+2*x^2)*exp(1)^4)*exp(x)^2*ln(exp(3)+x)^3+((4*x^4+20*x^3+12*x^2)*exp(1)^2*exp(3)+(4*x^5+20*x^4+12*x^3)*exp(1)^2)*exp(x)*ln(exp(3)+x)^2+((-4*x^4-4*x^3)*exp(1)^2*exp(x)+(24*x^5+40*x^4+16*x^3)*exp(3)+24*x^6+40*x^5+16*x^4)*ln(exp(3)+x)-8*x^6-16*x^5-8*x^4)/(exp(3)+x)/ln(exp(3)+x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{2 x +4}+\frac{4 x^{3} \left(\ln \left({\mathrm e}^{3}+x \right) x \,{\mathrm e}^{2+x}+\ln \left({\mathrm e}^{3}+x \right) {\mathrm e}^{2+x}+x^{3}+2 x^{2}+x \right)}{\ln \left({\mathrm e}^{3}+x \right)^{2}}$&$55$\\ \hline \end{longtable}"," ",0,"x^2*exp(2*x+4)+4*x^3*(ln(exp(3)+x)*x*exp(2+x)+ln(exp(3)+x)*exp(2+x)+x^3+2*x^2+x)/ln(exp(3)+x)^2","B"
4058,1,24,21,0.109000," ","int(((6*x^2+30*x+10)*exp(ln(5+x)-3*x-1)^2-2*x-10)/((x^2+5*x)*exp(ln(5+x)-3*x-1)^2-x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right)-2-\ln \left(\left(5+x \right)^{2} {\mathrm e}^{-6 x -2}-1\right)$&$24$\\ norman&$2 \ln \left(x \right)-\ln \left({\mathrm e}^{\ln \left(5+x \right)-3 x -1}-1\right)-\ln \left({\mathrm e}^{\ln \left(5+x \right)-3 x -1}+1\right)$&$36$\\ \hline \end{longtable}"," ",0,"2*ln(x)-2-ln((5+x)^2*exp(-6*x-2)-1)","A"
4059,1,21,15,0.062000," ","int((((2*x+3)*exp(exp(x))+2*x^2+x-3)*ln(exp(exp(x))+x-1)+((x^2+3*x)*exp(x)+6*x+9)*exp(exp(x))+7*x^2+6*x-9)*exp((x^2+3*x)*ln(exp(exp(x))+x-1)+3*x^2+9*x)/(exp(exp(x))+x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{{\mathrm e}^{x}}+x -1\right)^{\left(3+x \right) x} {\mathrm e}^{3 \left(3+x \right) x}$&$21$\\ \hline \end{longtable}"," ",0,"(exp(exp(x))+x-1)^((3+x)*x)*exp(3*(3+x)*x)","A"
4060,1,16,21,0.025000," ","int((x^2+4)*exp(3)/(x^4-4*x^3-4*x^2+16*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \,{\mathrm e}^{3}}{x^{2}-2 x -4}$&$16$\\ default&$-\frac{x \,{\mathrm e}^{3}}{x^{2}-2 x -4}$&$16$\\ norman&$-\frac{x \,{\mathrm e}^{3}}{x^{2}-2 x -4}$&$16$\\ risch&$-\frac{x \,{\mathrm e}^{3}}{x^{2}-2 x -4}$&$16$\\ \hline \end{longtable}"," ",0,"-x*exp(3)/(x^2-2*x-4)","A"
4061,1,20,16,0.019000," ","int((16*x^2+504*x+288)/(16*x^3*ln(x)-437*x^3-504*x^2-144*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)-\frac{437 x^{2}+504 x +144}{16 x^{2}}\right)$&$20$\\ norman&$-2 \ln \left(x \right)+\ln \left(16 x^{2} \ln \left(x \right)-437 x^{2}-504 x -144\right)$&$24$\\ \hline \end{longtable}"," ",0,"ln(ln(x)-1/16*(437*x^2+504*x+144)/x^2)","A"
4062,1,19,18,0.078000," ","int(((45*exp(exp(x))-45*ln(x))*ln(exp(exp(x))-ln(x))-45*x*exp(x)*exp(exp(x))+45)*exp(5*x/ln(exp(exp(x))-ln(x)))*exp(9*exp(5*x/ln(exp(exp(x))-ln(x))))/(exp(exp(x))-ln(x))/ln(exp(exp(x))-ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{9 \,{\mathrm e}^{\frac{5 x}{\ln \left({\mathrm e}^{{\mathrm e}^{x}}-\ln \left(x \right)\right)}}}$&$19$\\ \hline \end{longtable}"," ",0,"exp(9*exp(5*x/ln(exp(exp(x))-ln(x))))","A"
4063,1,45,45,0.120000," ","int((((-24*x^3+24*x^2)*ln(x)^2+(-48*x^3+96*x^2)*ln(x)-24*x^3+72*x^2)*exp((3*x*ln(x)^2+6*x*ln(x)+3*x)/exp(x))^2+((-24*x^4+24*x^3)*ln(x)^2+(-48*x^4+96*x^3)*ln(x)+8*exp(x)*x^2-24*x^4+72*x^3)*exp((3*x*ln(x)^2+6*x*ln(x)+3*x)/exp(x))+(8*x^3-4)*exp(x))/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2}+\frac{4}{x}+4 \,{\mathrm e}^{6 x \left(\ln \left(x \right)+1\right)^{2} {\mathrm e}^{-x}}+8 x \,{\mathrm e}^{3 x \left(\ln \left(x \right)+1\right)^{2} {\mathrm e}^{-x}}$&$45$\\ \hline \end{longtable}"," ",0,"4*x^2+4/x+4*exp(6*x*(ln(x)+1)^2*exp(-x))+8*x*exp(3*x*(ln(x)+1)^2*exp(-x))","A"
4064,1,27,31,0.247000," ","int((((-x-1)*ln(x)-exp(x)-x^2+4*x+5)*ln(x^2)+(-x^2+2*x+5)*ln(x)+(5+x)*exp(x)-x^3+7*x^2-3*x-21)/((x*ln(x)+exp(x)*x+x^2-4*x)*ln(x^2)+ln(x)*(x^2-x)+(x^2-x)*exp(x)+x^3-5*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)-x +2 \ln \left(-1+x +\ln \left(x^{2}\right)\right)+\ln \left(x +{\mathrm e}^{x}+\ln \left(x \right)-4\right)$&$27$\\ risch&$-x -\ln \left(x \right)+\ln \left(x +{\mathrm e}^{x}+\ln \left(x \right)-4\right)+2 \ln \left(\ln \left(x \right)-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i x -2 i\right)}{4}\right)$&$77$\\ \hline \end{longtable}"," ",0,"-ln(x)-x+2*ln(-1+x+ln(x^2))+ln(x+exp(x)+ln(x)-4)","A"
4065,1,9,15,0.132000," ","int(1/(ln(1/4*ln(5))+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(\frac{\ln \left(5\right)}{4}\right)+x \right)$&$9$\\ norman&$\ln \left(\ln \left(\frac{\ln \left(5\right)}{4}\right)+x \right)$&$9$\\ risch&$\ln \left(-2 \ln \left(2\right)+\ln \left(\ln \left(5\right)\right)+x \right)$&$11$\\ meijerg&$\ln \left(1+\frac{x}{\ln \left(\frac{\ln \left(5\right)}{4}\right)}\right)$&$13$\\ \hline \end{longtable}"," ",0,"ln(ln(1/4*ln(5))+x)","A"
4066,1,15,12,0.017000," ","int(1/5*(20*x+19)*exp(1)+6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(10 x \,{\mathrm e}+19 \,{\mathrm e}+30\right)}{5}$&$15$\\ norman&$\left(\frac{19 \,{\mathrm e}}{5}+6\right) x +2 x^{2} {\mathrm e}$&$17$\\ risch&$2 x^{2} {\mathrm e}+\frac{19 x \,{\mathrm e}}{5}+6 x$&$17$\\ default&$\frac{{\mathrm e} \left(10 x^{2}+19 x \right)}{5}+6 x$&$18$\\ \hline \end{longtable}"," ",0,"1/5*x*(10*x*exp(1)+19*exp(1)+30)","A"
4067,1,92,28,0.030000," ","int(1/9*(27*exp(3)^8*exp(4*x)+(32*x^7*exp(3)^8-256*x^7*exp(3)^7+896*x^7*exp(3)^6-1792*x^7*exp(3)^5+2240*x^7*exp(3)^4-1792*x^7*exp(3)^3+896*x^7*exp(3)^2-256*x^7*exp(3)+32*x^7)*exp(x)+(9*x-9)*exp(3)^8)/exp(3)^8/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{32 \,{\mathrm e}^{-24} x^{8} {\mathrm e}^{3}}{9}+\frac{4 \,{\mathrm e}^{-24} x^{8} {\mathrm e}^{24}}{9}-\frac{32 \,{\mathrm e}^{-24} x^{8} {\mathrm e}^{21}}{9}+\frac{112 \,{\mathrm e}^{-24} x^{8} {\mathrm e}^{18}}{9}-\frac{224 \,{\mathrm e}^{-24} x^{8} {\mathrm e}^{15}}{9}+\frac{280 \,{\mathrm e}^{-24} x^{8} {\mathrm e}^{12}}{9}-\frac{224 \,{\mathrm e}^{-24} x^{8} {\mathrm e}^{9}}{9}+\frac{112 \,{\mathrm e}^{-24} x^{8} {\mathrm e}^{6}}{9}+\frac{4 \,{\mathrm e}^{-24} x^{8}}{9}+{\mathrm e}^{3 x}-x \,{\mathrm e}^{-x}$&$92$\\ default&$\frac{{\mathrm e}^{-24} \left(4 x^{8}-32 x^{8} {\mathrm e}^{3}+112 x^{8} {\mathrm e}^{6}-224 x^{8} {\mathrm e}^{9}+280 x^{8} {\mathrm e}^{12}-224 x^{8} {\mathrm e}^{15}+112 x^{8} {\mathrm e}^{18}-32 x^{8} {\mathrm e}^{21}+4 x^{8} {\mathrm e}^{24}+9 \,{\mathrm e}^{-x} {\mathrm e}^{24}+9 \,{\mathrm e}^{3 x} {\mathrm e}^{24}+9 \,{\mathrm e}^{24} \left(-x \,{\mathrm e}^{-x}-{\mathrm e}^{-x}\right)\right)}{9}$&$123$\\ \hline \end{longtable}"," ",0,"-32/9*exp(-24)*x^8*exp(3)+4/9*exp(-24)*x^8*exp(24)-32/9*exp(-24)*x^8*exp(21)+112/9*exp(-24)*x^8*exp(18)-224/9*exp(-24)*x^8*exp(15)+280/9*exp(-24)*x^8*exp(12)-224/9*exp(-24)*x^8*exp(9)+112/9*exp(-24)*x^8*exp(6)+4/9*exp(-24)*x^8+exp(3*x)-x*exp(-x)","B"
4068,1,27,23,0.028000," ","int((-exp(x)*x^2-2*x)*exp(exp(x))+51*x^2*ln(x)-139*x^2+8*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{{\mathrm e}^{x}} x^{2}+4 x^{2}-52 x^{3}+17 x^{3} \ln \left(x \right)$&$27$\\ risch&$-{\mathrm e}^{{\mathrm e}^{x}} x^{2}+4 x^{2}-52 x^{3}+17 x^{3} \ln \left(x \right)$&$27$\\ \hline \end{longtable}"," ",0,"-exp(exp(x))*x^2+4*x^2-52*x^3+17*x^3*ln(x)","A"
4069,1,24,18,0.022000," ","int((3*x^2*ln(x)^2+(147*x^2-4)*ln(x)+1803*x^2+9*x-104)/(3*x^2*ln(x)^2+150*x^2*ln(x)+1875*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{3 x^{2}+9 x -4}{3 x \left(\ln \left(x \right)+25\right)}$&$24$\\ norman&$\frac{\frac{4}{3}+x^{2} \ln \left(x \right)-3 x +24 x^{2}}{\left(\ln \left(x \right)+25\right) x}$&$27$\\ \hline \end{longtable}"," ",0,"x-1/3/x*(3*x^2+9*x-4)/(ln(x)+25)","A"
4070,1,71,20,0.123000," ","int((4*x*exp(x)^2+(-4*x^2-4*x-4)*exp(x)+8*x)/((4*exp(x)*x-4*x^2)*ln(x-exp(x))^2+((4*exp(x)*x-4*x^2)*ln(x^2)-8*x*exp(x)^2+8*exp(x)*x^2)*ln(x-exp(x))+(exp(x)*x-x^2)*ln(x^2)^2+(-4*x*exp(x)^2+4*exp(x)*x^2)*ln(x^2)+4*x*exp(x)^3-4*exp(x)^2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 i}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-4 i {\mathrm e}^{x}+4 i \ln \left(x \right)+4 i \ln \left(x -{\mathrm e}^{x}\right)}$&$71$\\ \hline \end{longtable}"," ",0,"4*I/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I*exp(x)+4*I*ln(x)+4*I*ln(x-exp(x)))","C"
4071,1,11,20,0.071000," ","int((2*x^2+3*x-1)/(2*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\ln \left(2 x -1\right)+\ln \left(x \right)$&$11$\\ norman&$x +\ln \left(2 x -1\right)+\ln \left(x \right)$&$11$\\ risch&$x +\ln \left(2 x^{2}-x \right)$&$13$\\ meijerg&$\ln \left(x \right)+\ln \left(2\right)+i \pi +\ln \left(1-2 x \right)+x$&$17$\\ \hline \end{longtable}"," ",0,"x+ln(2*x-1)+ln(x)","A"
4072,1,30,18,0.138000," ","int((((8*x^2+12*x)*ln(2)+8*x+12)*ln(((6*x^2+9*x)*ln(2)+6*x+9)/x)+(16*x^2+12*x)*ln(2)+8*x)/((2*x^2+3*x)*ln(2)+2*x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 x +4 x \ln \left(\frac{\left(6 x^{2}+9 x \right) \ln \left(2\right)+6 x +9}{x}\right)$&$30$\\ risch&$4 x +4 x \ln \left(\frac{\left(6 x^{2}+9 x \right) \ln \left(2\right)+6 x +9}{x}\right)$&$30$\\ default&$4 x +4 x \ln \left(3\right)+4 x \ln \left(\frac{2 x^{2} \ln \left(2\right)+3 x \ln \left(2\right)+2 x +3}{x}\right)$&$35$\\ \hline \end{longtable}"," ",0,"4*x+4*x*ln(((6*x^2+9*x)*ln(2)+6*x+9)/x)","A"
4073,1,34,31,0.621000," ","int(((-95*x+240)*exp(3/x)+(5*x^3-160*x^2+1280*x)*exp(5)-10*x^4+310*x^3-2240*x^2)/(3*x^3*exp(3/x)^2+((6*x^4-96*x^3)*exp(5)-6*x^5+84*x^4)*exp(3/x)+(3*x^5-96*x^4+768*x^3)*exp(5)^2+(-6*x^6+180*x^5-1344*x^4)*exp(5)+3*x^7-84*x^6+588*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \left(x -16\right)}{3 x \left(x \,{\mathrm e}^{5}-x^{2}-16 \,{\mathrm e}^{5}+{\mathrm e}^{\frac{3}{x}}+14 x \right)}$&$34$\\ norman&$\frac{-\frac{5}{3} x^{2}+\frac{80}{3} x}{x^{2} \left(x \,{\mathrm e}^{5}-x^{2}-16 \,{\mathrm e}^{5}+{\mathrm e}^{\frac{3}{x}}+14 x \right)}$&$39$\\ \hline \end{longtable}"," ",0,"-5/3*(x-16)/x/(x*exp(5)-x^2-16*exp(5)+exp(3/x)+14*x)","A"
4074,1,10,17,0.026000," ","int((2*x^2*ln(x)+x^2-2)*exp(x^2*ln(x))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{x^{2}}}{x^{2}}$&$10$\\ norman&$\frac{{\mathrm e}^{x^{2} \ln \left(x \right)}}{x^{2}}$&$12$\\ \hline \end{longtable}"," ",0,"x^(x^2)/x^2","A"
4075,1,120,24,0.574000," ","int((2*ln(-15/16*x)*ln(2*x)^3+(-6*ln(-15/16*x)*ln(x)-6*x*ln(-15/16*x)+2*exp(3))*ln(2*x)^2+(6*ln(-15/16*x)*ln(x)^2+(12*x*ln(-15/16*x)-4*exp(3))*ln(x)+(2*x*exp(3)+6*x^2)*ln(-15/16*x)-4*x*exp(3))*ln(2*x)-2*ln(-15/16*x)*ln(x)^3+(-6*x*ln(-15/16*x)+2*exp(3))*ln(x)^2+((-2*x*exp(3)-6*x^2)*ln(-15/16*x)+4*x*exp(3))*ln(x)+(-2*x^2*exp(3)-2*x^3)*ln(-15/16*x)+2*x*exp(3)^2+2*x^2*exp(3))/(x*ln(2*x)^3+(-3*x*ln(x)-3*x^2)*ln(2*x)^2+(3*x*ln(x)^2+6*x^2*ln(x)+3*x^3)*ln(2*x)-x*ln(x)^3-3*x^2*ln(x)^2-3*x^3*ln(x)-x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{6}}{\left(x -\ln \left(2\right)\right)^{2}}-\frac{2 \,{\mathrm e}^{3} \ln \left(x -\ln \left(2\right)\right)}{\ln \left(2\right)}+\frac{8 \,{\mathrm e}^{3} \ln \left(2\right)}{x -\ln \left(2\right)}-8 \ln \left(2\right) \ln \left(x \right)+\frac{2 \ln \left(x \right) {\mathrm e}^{3}}{\ln \left(2\right)}-\frac{2 \ln \left(15\right) {\mathrm e}^{3}}{x -\ln \left(2\right)}+2 \ln \left(x \right) \ln \left(15\right)+\frac{2 \,{\mathrm e}^{3} \ln \left(\ln \left(2\right)-x \right)}{\ln \left(2\right)}+\frac{2 \,{\mathrm e}^{3} \ln \left(-x \right) x}{\ln \left(2\right) \left(\ln \left(2\right)-x \right)}+\ln \left(-x \right)^{2}$&$120$\\ risch&$\ln \left(x \right)^{2}+\frac{4 i {\mathrm e}^{3} \ln \left(x \right)}{2 i \ln \left(2\right)-2 i x}+\frac{-8 x \,{\mathrm e}^{3} \ln \left(5\right)-8 x \,{\mathrm e}^{3} \ln \left(3\right)+4 \,{\mathrm e}^{6}+8 i \pi  \,{\mathrm e}^{3} \ln \left(2\right)-8 i \pi  \,{\mathrm e}^{3} x +8 i \pi  \ln \left(2\right)^{2} \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right)+8 i \pi  \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right) x^{2}-16 \ln \left(3\right) \ln \left(2\right) \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right) x -16 \ln \left(2\right) \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right) \ln \left(5\right) x +32 x \,{\mathrm e}^{3} \ln \left(2\right)-32 \,{\mathrm e}^{3} \ln \left(2\right)^{2}+8 \ln \left(3\right) {\mathrm e}^{3} \ln \left(2\right)+8 \,{\mathrm e}^{3} \ln \left(2\right) \ln \left(5\right)+8 \ln \left(3\right) \ln \left(2\right)^{2} \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right)+8 \ln \left(3\right) \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right) x^{2}+8 \ln \left(2\right)^{2} \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right) \ln \left(5\right)+64 \ln \left(2\right)^{2} \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right) x -32 \ln \left(2\right) \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right) x^{2}+8 \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right) \ln \left(5\right) x^{2}-16 i \pi  \ln \left(2\right) \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right) x \mathrm{csgn}\left(i x \right)^{3}+16 i \pi  \ln \left(2\right) \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right) x \mathrm{csgn}\left(i x \right)^{2}-32 \ln \left(2\right)^{3} \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right)+8 i \pi  \,{\mathrm e}^{3} x \mathrm{csgn}\left(i x \right)^{2}-8 i \pi  \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right) x^{2} \mathrm{csgn}\left(i x \right)^{2}-8 i \pi  \,{\mathrm e}^{3} \ln \left(2\right) \mathrm{csgn}\left(i x \right)^{2}-8 i \pi  \,{\mathrm e}^{3} x \mathrm{csgn}\left(i x \right)^{3}+8 i \pi  \,{\mathrm e}^{3} \ln \left(2\right) \mathrm{csgn}\left(i x \right)^{3}+8 i \pi  \ln \left(2\right)^{2} \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right) \mathrm{csgn}\left(i x \right)^{3}-8 i \pi  \ln \left(2\right)^{2} \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right) \mathrm{csgn}\left(i x \right)^{2}+8 i \pi  \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right) x^{2} \mathrm{csgn}\left(i x \right)^{3}-16 i \pi  \ln \left(2\right) \ln \left(\left(-2 \pi  \mathrm{csgn}\left(i x \right)^{2}+2 \pi  \mathrm{csgn}\left(i x \right)^{3}+2 \pi -2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(5\right)\right) x \right) x}{4 \ln \left(2\right)^{2}-8 x \ln \left(2\right)+4 x^{2}}$&$1096$\\ \hline \end{longtable}"," ",0,"exp(6)/(x-ln(2))^2-2*exp(3)/ln(2)*ln(x-ln(2))+8*exp(3)*ln(2)/(x-ln(2))-8*ln(2)*ln(x)+2/ln(2)*ln(x)*exp(3)-2*ln(15)*exp(3)/(x-ln(2))+2*ln(x)*ln(15)+2*exp(3)/ln(2)*ln(ln(2)-x)+2*exp(3)*ln(-x)*x/ln(2)/(ln(2)-x)+ln(-x)^2","B"
4076,1,252,24,0.133000," ","int(((exp(x)-x^2+2*x)*ln(x)*ln(ln(x))^2+((2*exp(x)+2*x)*ln(exp(x)*x+x^2)-2*exp(x)*x-2*x^2)*ln(ln(x))+(-exp(x)*x-x^2)*ln(x)*ln(exp(x)*x+x^2)+((x^2-x-1)*exp(x)+2*x^3-x^2-2*x)*ln(x))/(2*exp(x)*x+2*x^2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{\ln \left(\ln \left(x \right)\right)^{2}}{2}-\frac{x}{2}\right) \ln \left({\mathrm e}^{x}+x \right)-\frac{x \ln \left(\ln \left(x \right)\right)^{2}}{2}+\frac{\ln \left(x \right) \ln \left(\ln \left(x \right)\right)^{2}}{2}+\frac{i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+x \right)\right)}{4}+\frac{i \ln \left(\ln \left(x \right)\right)^{2} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+x \right)\right)^{2}}{4}+\frac{i \ln \left(\ln \left(x \right)\right)^{2} \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+x \right)\right)^{2}}{4}-\frac{i \ln \left(\ln \left(x \right)\right)^{2} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+x \right)\right)}{4}-\frac{x \ln \left(x \right)}{2}+\frac{i x \pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+x \right)\right)^{3}}{4}-\frac{i x \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+x \right)\right)^{2}}{4}-\frac{i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+x \right)\right)^{2}}{4}-\frac{i \ln \left(\ln \left(x \right)\right)^{2} \pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+x \right)\right)^{3}}{4}+\frac{x^{2}}{2}-\frac{\ln \left(x \right)}{2}+\frac{x}{2}-\frac{\ln \left({\mathrm e}^{x}+x \right)}{2}$&$252$\\ \hline \end{longtable}"," ",0,"(1/2*ln(ln(x))^2-1/2*x)*ln(exp(x)+x)-1/2*x*ln(ln(x))^2+1/2*ln(x)*ln(ln(x))^2+1/4*I*x*Pi*csgn(I*x)*csgn(I*(exp(x)+x))*csgn(I*x*(exp(x)+x))+1/4*I*ln(ln(x))^2*Pi*csgn(I*x)*csgn(I*x*(exp(x)+x))^2+1/4*I*ln(ln(x))^2*Pi*csgn(I*(exp(x)+x))*csgn(I*x*(exp(x)+x))^2-1/4*I*ln(ln(x))^2*Pi*csgn(I*x)*csgn(I*(exp(x)+x))*csgn(I*x*(exp(x)+x))-1/2*x*ln(x)+1/4*I*x*Pi*csgn(I*x*(exp(x)+x))^3-1/4*I*x*Pi*csgn(I*(exp(x)+x))*csgn(I*x*(exp(x)+x))^2-1/4*I*x*Pi*csgn(I*x)*csgn(I*x*(exp(x)+x))^2-1/4*I*ln(ln(x))^2*Pi*csgn(I*x*(exp(x)+x))^3+1/2*x^2-1/2*ln(x)+1/2*x-1/2*ln(exp(x)+x)","C"
4077,1,60,26,0.092000," ","int(1/5*((3*x^2-6*x)*ln(x)+x^2-3*x)*ln(x*ln(x))+1/5*((5*x^2-5*x-15)*exp(x)-11*x^2+15*x+9)*ln(x)+1/5*(5*x-15)*exp(x)-3/5*x^2+6/5*x+9/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{9 x^{2} \ln \left(x \right)}{5}-\frac{4 x^{3} \ln \left(x \right)}{5}-\frac{3 \ln \left(x \right) \ln \left(x \ln \left(x \right)\right) x^{2}}{5}+\frac{\ln \left(x \right) x^{3} \ln \left(x \ln \left(x \right)\right)}{5}+\frac{9 x \ln \left(x \right)}{5}+x^{2} {\mathrm e}^{x} \ln \left(x \right)-3 x \,{\mathrm e}^{x} \ln \left(x \right)$&$60$\\ risch&$\frac{x^{3} \ln \left(x \right) \ln \left(\ln \left(x \right)\right)}{5}-\frac{3 x^{2} \ln \left(x \right) \ln \left(\ln \left(x \right)\right)}{5}+\frac{x^{3} \ln \left(x \right)^{2}}{5}-\frac{3 x^{2} \ln \left(x \right)^{2}}{5}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3} \ln \left(x \right)}{10}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \ln \left(x \right)}{10}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \ln \left(x \right)}{10}+\frac{3 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right) \ln \left(x \right)}{10}-\frac{3 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \ln \left(x \right)}{10}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right) \ln \left(x \right)}{10}-\frac{3 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \ln \left(x \right)}{10}+\frac{3 i \pi  \,x^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3} \ln \left(x \right)}{10}-\frac{4 x^{3} \ln \left(x \right)}{5}+\frac{9 x^{2} \ln \left(x \right)}{5}+\frac{9 x \ln \left(x \right)}{5}+x^{2} {\mathrm e}^{x} \ln \left(x \right)-3 x \,{\mathrm e}^{x} \ln \left(x \right)$&$258$\\ \hline \end{longtable}"," ",0,"9/5*x^2*ln(x)-4/5*x^3*ln(x)-3/5*ln(x)*ln(x*ln(x))*x^2+1/5*ln(x)*x^3*ln(x*ln(x))+9/5*x*ln(x)+x^2*exp(x)*ln(x)-3*x*exp(x)*ln(x)","B"
4078,1,15,18,0.065000," ","int((((-12*x^2+12*x)*ln(3)*exp(x)+2)*ln(x)*exp((12-6*x)*ln(3)*exp(x))*ln(ln(x))+2*exp((12-6*x)*ln(3)*exp(x)))/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \left(\frac{1}{729}\right)^{{\mathrm e}^{x} \left(x -2\right)} \ln \left(\ln \left(x \right)\right)$&$15$\\ \hline \end{longtable}"," ",0,"2*x*(1/729)^(exp(x)*(x-2))*ln(ln(x))","A"
4079,1,36,29,0.071000," ","int(((x*exp(x^3)*ln(x)+(3-x)*exp(x^3)*ln(3-x))*ln(2*ln(2))+((12*x^4-36*x^3)*ln(3-x)+4*x)*ln(x)+(-4*x+12)*ln(3-x))/(x^2-3*x)/exp(x^3)/ln(3-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right) \left({\mathrm e}^{x^{3}} \ln \left(2\right)+{\mathrm e}^{x^{3}} \ln \left(\ln \left(2\right)\right)+4\right) {\mathrm e}^{-x^{3}}}{\ln \left(3-x \right)}$&$36$\\ \hline \end{longtable}"," ",0,"-ln(x)*(exp(x^3)*ln(2)+exp(x^3)*ln(ln(2))+4)*exp(-x^3)/ln(3-x)","A"
4080,1,20,18,0.044000," ","int((-2*ln(4/75*x*ln(2)+4/25*x)^2-ln(4/75*x*ln(2)+4/25*x)+1)/ln(4/75*x*ln(2)+4/25*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x -\frac{x}{\ln \left(\frac{4 x \ln \left(2\right)}{75}+\frac{4 x}{25}\right)}$&$20$\\ norman&$\frac{-x -2 x \ln \left(\frac{4 x \ln \left(2\right)}{75}+\frac{4 x}{25}\right)}{\ln \left(\frac{4 x \ln \left(2\right)}{75}+\frac{4 x}{25}\right)}$&$31$\\ derivativedivides&$\frac{-\frac{75 \left(\frac{4 \ln \left(2\right)}{75}+\frac{4}{25}\right) x}{2}-\frac{75 \left(\frac{4 \ln \left(2\right)}{75}+\frac{4}{25}\right) x}{4 \ln \left(\left(\frac{4 \ln \left(2\right)}{75}+\frac{4}{25}\right) x \right)}}{3+\ln \left(2\right)}$&$39$\\ default&$\frac{-\frac{75 \left(\frac{4 \ln \left(2\right)}{75}+\frac{4}{25}\right) x}{2}-\frac{75 \left(\frac{4 \ln \left(2\right)}{75}+\frac{4}{25}\right) x}{4 \ln \left(\left(\frac{4 \ln \left(2\right)}{75}+\frac{4}{25}\right) x \right)}}{3+\ln \left(2\right)}$&$39$\\ \hline \end{longtable}"," ",0,"-2*x-x/ln(4/75*x*ln(2)+4/25*x)","A"
4081,1,48,32,0.331000," ","int(((-2*x^2*ln(2*ln(2))^2+(exp(5)-20*x^3)*ln(2*ln(2))+10*x*exp(5)-50*x^4-5*x^2)*exp((-2*x^2*ln(2*ln(2))-exp(5)-10*x^3+x)/(2*x*ln(2*ln(2))+10*x^2))-2*x^2*ln(2*ln(2))^2-20*x^3*ln(2*ln(2))-50*x^4)/(2*x^2*ln(2*ln(2))^2+20*x^3*ln(2*ln(2))+50*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{-\frac{2 x^{2} \ln \left(2\right)+2 x^{2} \ln \left(\ln \left(2\right)\right)+10 x^{3}+{\mathrm e}^{5}-x}{2 x \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)+5 x \right)}}$&$48$\\ norman&$\frac{\left(\frac{\ln \left(2\right)^{2}}{5}+\frac{2 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)}{5}+\frac{\ln \left(\ln \left(2\right)\right)^{2}}{5}\right) x +\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) x \,{\mathrm e}^{\frac{-2 x^{2} \ln \left(2 \ln \left(2\right)\right)-{\mathrm e}^{5}-10 x^{3}+x}{2 x \ln \left(2 \ln \left(2\right)\right)+10 x^{2}}}-5 x^{3}+5 x^{2} {\mathrm e}^{\frac{-2 x^{2} \ln \left(2 \ln \left(2\right)\right)-{\mathrm e}^{5}-10 x^{3}+x}{2 x \ln \left(2 \ln \left(2\right)\right)+10 x^{2}}}}{x \left(\ln \left(2 \ln \left(2\right)\right)+5 x \right)}$&$136$\\ \hline \end{longtable}"," ",0,"-x+exp(-1/2*(2*x^2*ln(2)+2*x^2*ln(ln(2))+10*x^3+exp(5)-x)/x/(ln(2)+ln(ln(2))+5*x))","A"
4082,1,42,32,0.051000," ","int(((((x-1)*exp(5)+2*x^2-5*x+3)*ln(x)+(-x^2+x+2)*exp(5)^2+(-2*x^3+5*x^2+x-6)*exp(5))*ln(((1-x)*ln(x)+(x^2-x-2)*exp(5))/exp(5))^2+((x-1)*exp(1)*ln(x)+(-x^2+x+2)*exp(1)*exp(5))*ln(((1-x)*ln(x)+(x^2-x-2)*exp(5))/exp(5))-x*exp(1)*ln(x)+(2*x^2-x)*exp(1)*exp(5)+(1-x)*exp(1))/((x-1)*ln(x)+(-x^2+x+2)*exp(5))/ln(((1-x)*ln(x)+(x^2-x-2)*exp(5))/exp(5))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{5}+x^{2}-3 x +\frac{x \,{\mathrm e}}{\ln \left(\left(\left(1-x \right) \ln \left(x \right)+\left(x^{2}-x -2\right) {\mathrm e}^{5}\right) {\mathrm e}^{-5}\right)}$&$42$\\ \hline \end{longtable}"," ",0,"x*exp(5)+x^2-3*x+x*exp(1)/ln(((1-x)*ln(x)+(x^2-x-2)*exp(5))*exp(-5))","A"
4083,1,38,29,0.056000," ","int(1/15*((-2*x^3+6*x^2-8*x+12)*exp(2/x)-60*x^4+160*x^3-123*x^2+18)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x^{3}}{3}+\frac{16 x^{2}}{3}-\frac{41 x}{5}-\frac{6}{5 x}+\frac{\left(-x^{2}+4 x -6\right) {\mathrm e}^{\frac{2}{x}}}{15}$&$38$\\ derivativedivides&$-\frac{6}{5 x}-\frac{4 x^{3}}{3}+\frac{16 x^{2}}{3}-\frac{41 x}{5}-\frac{x^{2} {\mathrm e}^{\frac{2}{x}}}{15}+\frac{4 x \,{\mathrm e}^{\frac{2}{x}}}{15}-\frac{2 \,{\mathrm e}^{\frac{2}{x}}}{5}$&$48$\\ default&$-\frac{6}{5 x}-\frac{4 x^{3}}{3}+\frac{16 x^{2}}{3}-\frac{41 x}{5}-\frac{x^{2} {\mathrm e}^{\frac{2}{x}}}{15}+\frac{4 x \,{\mathrm e}^{\frac{2}{x}}}{15}-\frac{2 \,{\mathrm e}^{\frac{2}{x}}}{5}$&$48$\\ norman&$\frac{-\frac{6}{5}-\frac{41 x^{2}}{5}+\frac{16 x^{3}}{3}-\frac{4 x^{4}}{3}-\frac{2 x \,{\mathrm e}^{\frac{2}{x}}}{5}+\frac{4 x^{2} {\mathrm e}^{\frac{2}{x}}}{15}-\frac{x^{3} {\mathrm e}^{\frac{2}{x}}}{15}}{x}$&$53$\\ \hline \end{longtable}"," ",0,"-4/3*x^3+16/3*x^2-41/5*x-6/5/x+1/15*(-x^2+4*x-6)*exp(2/x)","A"
4084,1,32,19,0.044000," ","int((2*(-8*x+8)*ln(6)-24*x^5+40*x^4)*exp(1/ln(2*(-x^2+2*x)*ln(6)-x^6+2*x^5)^4)/(2*(x^2-2*x)*ln(6)+x^6-2*x^5)/ln(2*(-x^2+2*x)*ln(6)-x^6+2*x^5)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{1}{\ln \left(2 \left(-x^{2}+2 x \right) \left(\ln \left(2\right)+\ln \left(3\right)\right)-x^{6}+2 x^{5}\right)^{4}}}$&$32$\\ \hline \end{longtable}"," ",0,"exp(1/ln(2*(-x^2+2*x)*(ln(2)+ln(3))-x^6+2*x^5)^4)","A"
4085,1,11,11,0.017000," ","int(3*x^2*exp(5)+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{3} {\mathrm e}^{5}+2 x$&$11$\\ default&$x^{3} {\mathrm e}^{5}+2 x$&$11$\\ norman&$x^{3} {\mathrm e}^{5}+2 x$&$11$\\ risch&$x^{3} {\mathrm e}^{5}+2 x$&$11$\\ \hline \end{longtable}"," ",0,"x^3*exp(5)+2*x","A"
4086,1,9,20,0.013000," ","int((-3*x+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x +2 \ln \left(x \right)$&$9$\\ norman&$-3 x +2 \ln \left(x \right)$&$9$\\ risch&$-3 x +2 \ln \left(x \right)$&$9$\\ \hline \end{longtable}"," ",0,"-3*x+2*ln(x)","A"
4087,1,18,13,0.068000," ","int((2*(3-x)*ln(2)*ln(x-3)+2*(-x+6)*ln(2))/(x^3-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \ln \left(2\right) \ln \left(x -3\right)+4 \ln \left(2\right)}{x}$&$18$\\ risch&$\frac{2 \ln \left(2\right) \ln \left(x -3\right)}{x}+\frac{4 \ln \left(2\right)}{x}$&$20$\\ derivativedivides&$2 \ln \left(2\right) \left(-\frac{\ln \left(x -3\right) \left(x -3\right)}{3 x}+\frac{2}{x}+\frac{\ln \left(x -3\right)}{3}\right)$&$29$\\ default&$2 \ln \left(2\right) \left(-\frac{\ln \left(x -3\right) \left(x -3\right)}{3 x}+\frac{2}{x}+\frac{\ln \left(x -3\right)}{3}\right)$&$29$\\ \hline \end{longtable}"," ",0,"(2*ln(2)*ln(x-3)+4*ln(2))/x","A"
4088,1,696,26,0.206000," ","int(((-2*x-10)*ln(5+x)*ln(x*ln(5+x))^2+((((-2*x^2-10*x)*exp(x)+2*x^2+10*x)*ln(x)^2+((2*x+10)*exp(x)-2*x^2-8*x+10)*ln(x))*ln(5+x)+2*x*ln(x))*ln(x*ln(5+x))+(((2*x^2+10*x)*exp(x)^2+(-2*x^3-12*x^2-10*x)*exp(x)+2*x^3+12*x^2+10*x)*ln(x)^3+((-2*x-10)*exp(x)+2*x^2+10*x)*ln(x)^2)*ln(5+x)+(-2*exp(x)*x+2*x^2)*ln(x)^2)/(x^2+5*x)/ln(x)^3/ln(5+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(5+x \right)\right)^{2}}{\ln \left(x \right)^{2}}+\frac{\left(-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(5+x \right)\right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \ln \left(5+x \right)\right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{2}-i \pi  \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{3}+2 x \ln \left(x \right)-2 \,{\mathrm e}^{x} \ln \left(x \right)+2 \ln \left(x \right)\right) \ln \left(\ln \left(5+x \right)\right)}{\ln \left(x \right)^{2}}+\frac{-8 x \,{\mathrm e}^{x} \ln \left(x \right)^{2}+4 x^{2} \ln \left(x \right)^{2}-8 \,{\mathrm e}^{x} \ln \left(x \right)^{2}+16 x \ln \left(x \right)^{2}-\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \ln \left(5+x \right)\right)^{2} \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \ln \left(5+x \right)\right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{3}+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(5+x \right)\right)^{2} \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(5+x \right)\right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{4}-4 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{3}-\pi^{2} \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{6}+4 \,{\mathrm e}^{2 x} \ln \left(x \right)^{2}+4 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{2} \ln \left(x \right)+4 i \pi  x \,\mathrm{csgn}\left(i \ln \left(5+x \right)\right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{2} \ln \left(x \right)-4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(5+x \right)\right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)-4 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{2} {\mathrm e}^{x} \ln \left(x \right)-4 i \pi  \,\mathrm{csgn}\left(i \ln \left(5+x \right)\right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{2} {\mathrm e}^{x} \ln \left(x \right)-\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{5}-\pi^{2} \mathrm{csgn}\left(i \ln \left(5+x \right)\right)^{2} \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i \ln \left(5+x \right)\right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{5}-4 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(5+x \right)\right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right) \ln \left(x \right)+4 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(5+x \right)\right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right) {\mathrm e}^{x} \ln \left(x \right)+4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i \ln \left(5+x \right)\right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{2}-4 i \pi  x \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{3} \ln \left(x \right)+4 i \pi  \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{3} {\mathrm e}^{x} \ln \left(x \right)+4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(5+x \right)\right)^{2}}{4 \ln \left(x \right)^{2}}$&$696$\\ \hline \end{longtable}"," ",0,"1/ln(x)^2*ln(ln(5+x))^2+(-I*Pi*csgn(I*x)*csgn(I*ln(5+x))*csgn(I*x*ln(5+x))+I*Pi*csgn(I*x)*csgn(I*x*ln(5+x))^2+I*Pi*csgn(I*ln(5+x))*csgn(I*x*ln(5+x))^2-I*Pi*csgn(I*x*ln(5+x))^3+2*x*ln(x)-2*exp(x)*ln(x)+2*ln(x))/ln(x)^2*ln(ln(5+x))+1/4*(-8*x*exp(x)*ln(x)^2+4*x^2*ln(x)^2-8*exp(x)*ln(x)^2+16*x*ln(x)^2-Pi^2*csgn(I*x)^2*csgn(I*ln(5+x))^2*csgn(I*x*ln(5+x))^2+2*Pi^2*csgn(I*x)^2*csgn(I*ln(5+x))*csgn(I*x*ln(5+x))^3+2*Pi^2*csgn(I*x)*csgn(I*ln(5+x))^2*csgn(I*x*ln(5+x))^3-4*Pi^2*csgn(I*x)*csgn(I*ln(5+x))*csgn(I*x*ln(5+x))^4-4*I*ln(x)*Pi*csgn(I*x*ln(5+x))^3+4*exp(2*x)*ln(x)^2-Pi^2*csgn(I*x*ln(5+x))^6+4*I*Pi*x*csgn(I*x)*csgn(I*x*ln(5+x))^2*ln(x)+4*I*Pi*x*csgn(I*ln(5+x))*csgn(I*x*ln(5+x))^2*ln(x)-4*I*ln(x)*Pi*csgn(I*x)*csgn(I*ln(5+x))*csgn(I*x*ln(5+x))-4*I*Pi*csgn(I*x)*csgn(I*x*ln(5+x))^2*exp(x)*ln(x)-4*I*Pi*csgn(I*ln(5+x))*csgn(I*x*ln(5+x))^2*exp(x)*ln(x)-Pi^2*csgn(I*x)^2*csgn(I*x*ln(5+x))^4+2*Pi^2*csgn(I*x)*csgn(I*x*ln(5+x))^5-Pi^2*csgn(I*ln(5+x))^2*csgn(I*x*ln(5+x))^4+2*Pi^2*csgn(I*ln(5+x))*csgn(I*x*ln(5+x))^5-4*I*Pi*x*csgn(I*x)*csgn(I*ln(5+x))*csgn(I*x*ln(5+x))*ln(x)+4*I*Pi*csgn(I*x)*csgn(I*ln(5+x))*csgn(I*x*ln(5+x))*exp(x)*ln(x)+4*I*ln(x)*Pi*csgn(I*ln(5+x))*csgn(I*x*ln(5+x))^2-4*I*Pi*x*csgn(I*x*ln(5+x))^3*ln(x)+4*I*Pi*csgn(I*x*ln(5+x))^3*exp(x)*ln(x)+4*I*ln(x)*Pi*csgn(I*x)*csgn(I*x*ln(5+x))^2)/ln(x)^2","C"
4089,1,391,27,0.320000," ","int(((8*x+4)*exp(x^2+x+1)^2+(8*x+8)*exp(x)*exp(x^2+x+1)+4*exp(x)^2-2)*ln(4/(exp(x^2+x+1)^2+2*exp(x)*exp(x^2+x+1)+exp(x)^2-x))/(exp(x^2+x+1)^2+2*exp(x)*exp(x^2+x+1)+exp(x)^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(-{\mathrm e}^{2 x^{2}+2 x +2}-2 \,{\mathrm e}^{\left(x +1\right)^{2}}-{\mathrm e}^{2 x}+x \right)^{2}+4 \ln \left(-{\mathrm e}^{2 x^{2}+2 x +2}-2 \,{\mathrm e}^{\left(x +1\right)^{2}}-{\mathrm e}^{2 x}+x \right)+4 i \pi  \mathrm{csgn}\left(\frac{i}{-{\mathrm e}^{2 x^{2}+2 x +2}-2 \,{\mathrm e}^{\left(x +1\right)^{2}}-{\mathrm e}^{2 x}+x}\right)^{2}+2 i \pi  \ln \left({\mathrm e}^{2 x^{2}+2 x +2}+2 \,{\mathrm e}^{\left(x +1\right)^{2}}+{\mathrm e}^{2 x}-x \right) \mathrm{csgn}\left(\frac{i}{-{\mathrm e}^{2 x^{2}+2 x +2}-2 \,{\mathrm e}^{\left(x +1\right)^{2}}-{\mathrm e}^{2 x}+x}\right)^{3}+2 i \ln \left({\mathrm e}^{2 x^{2}+2 x +2}+2 \,{\mathrm e}^{\left(x +1\right)^{2}}+{\mathrm e}^{2 x}-x \right) \pi -4 i \pi  \mathrm{csgn}\left(\frac{i}{-{\mathrm e}^{2 x^{2}+2 x +2}-2 \,{\mathrm e}^{\left(x +1\right)^{2}}-{\mathrm e}^{2 x}+x}\right)^{3}-2 i \pi  \ln \left({\mathrm e}^{2 x^{2}+2 x +2}+2 \,{\mathrm e}^{\left(x +1\right)^{2}}+{\mathrm e}^{2 x}-x \right) \mathrm{csgn}\left(\frac{i}{-{\mathrm e}^{2 x^{2}+2 x +2}-2 \,{\mathrm e}^{\left(x +1\right)^{2}}-{\mathrm e}^{2 x}+x}\right)^{2}-4 i \pi +8+4 \ln \left(2\right) \ln \left({\mathrm e}^{2 x^{2}+2 x +2}+2 \,{\mathrm e}^{\left(x +1\right)^{2}}+{\mathrm e}^{2 x}-x \right)-8 \ln \left(2\right)-4 \ln \left({\mathrm e}^{2 x^{2}+2 x +2}+2 \,{\mathrm e}^{\left(x +1\right)^{2}}+{\mathrm e}^{2 x}-x \right)$&$391$\\ \hline \end{longtable}"," ",0,"-ln(-exp(2*x^2+2*x+2)-2*exp((x+1)^2)-exp(2*x)+x)^2+4*ln(-exp(2*x^2+2*x+2)-2*exp((x+1)^2)-exp(2*x)+x)+4*I*Pi*csgn(I/(-exp(2*x^2+2*x+2)-2*exp((x+1)^2)-exp(2*x)+x))^2+2*I*Pi*ln(exp(2*x^2+2*x+2)+2*exp((x+1)^2)+exp(2*x)-x)*csgn(I/(-exp(2*x^2+2*x+2)-2*exp((x+1)^2)-exp(2*x)+x))^3+2*I*ln(exp(2*x^2+2*x+2)+2*exp((x+1)^2)+exp(2*x)-x)*Pi-4*I*Pi*csgn(I/(-exp(2*x^2+2*x+2)-2*exp((x+1)^2)-exp(2*x)+x))^3-2*I*Pi*ln(exp(2*x^2+2*x+2)+2*exp((x+1)^2)+exp(2*x)-x)*csgn(I/(-exp(2*x^2+2*x+2)-2*exp((x+1)^2)-exp(2*x)+x))^2-4*I*Pi+8+4*ln(2)*ln(exp(2*x^2+2*x+2)+2*exp((x+1)^2)+exp(2*x)-x)-8*ln(2)-4*ln(exp(2*x^2+2*x+2)+2*exp((x+1)^2)+exp(2*x)-x)","C"
4090,1,45,22,0.033000," ","int(-ln(x)^2+(-6*x^2*exp(3)-4)*ln(x)-5*x^4*exp(3)^2-8*x^2*exp(3)-2*x-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -2 \,{\mathrm e}^{3} \ln \left(x \right) x^{3}-2 x^{3} {\mathrm e}^{3}-2 x \ln \left(x \right)-x^{2}-x \ln \left(x \right)^{2}-x^{5} {\mathrm e}^{6}$&$45$\\ default&$-x -2 \,{\mathrm e}^{3} \ln \left(x \right) x^{3}-2 x^{3} {\mathrm e}^{3}-2 x \ln \left(x \right)-x^{2}-x \ln \left(x \right)^{2}-x^{5} {\mathrm e}^{6}$&$47$\\ norman&$-x -2 \,{\mathrm e}^{3} \ln \left(x \right) x^{3}-2 x^{3} {\mathrm e}^{3}-2 x \ln \left(x \right)-x^{2}-x \ln \left(x \right)^{2}-x^{5} {\mathrm e}^{6}$&$47$\\ \hline \end{longtable}"," ",0,"-x-2*exp(3)*ln(x)*x^3-2*x^3*exp(3)-2*x*ln(x)-x^2-x*ln(x)^2-x^5*exp(6)","A"
4091,1,25,26,0.062000," ","int(1/16*(32*ln(2)^2*ln(x)*exp(exp(x^2-x))^2*exp(ln(x)^2)-16*x*ln(2)^2*exp(exp(x^2-x))^2+(-16*x^2+8*x)*exp(x^2-x))/x/ln(2)^2/exp(exp(x^2-x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\ln \left(x \right)^{2}}+\frac{{\mathrm e}^{-2 \,{\mathrm e}^{x \left(x -1\right)}}}{4 \ln \left(2\right)^{2}}-x$&$25$\\ default&$\frac{4 \,{\mathrm e}^{-2 \,{\mathrm e}^{x^{2}-x}}-16 x \ln \left(2\right)^{2}+16 \ln \left(2\right)^{2} {\mathrm e}^{\ln \left(x \right)^{2}}}{16 \ln \left(2\right)^{2}}$&$39$\\ \hline \end{longtable}"," ",0,"exp(ln(x)^2)+1/4*exp(-2*exp(x*(x-1)))/ln(2)^2-x","A"
4092,1,18,20,0.022000," ","int((x+1)*ln(5)^2*exp(x)+10*x+141,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$141 x +x \ln \left(5\right)^{2} {\mathrm e}^{x}+5 x^{2}$&$18$\\ norman&$141 x +x \ln \left(5\right)^{2} {\mathrm e}^{x}+5 x^{2}$&$18$\\ risch&$141 x +x \ln \left(5\right)^{2} {\mathrm e}^{x}+5 x^{2}$&$18$\\ \hline \end{longtable}"," ",0,"141*x+x*ln(5)^2*exp(x)+5*x^2","A"
4093,1,135,18,0.071000," ","int((-4*exp(exp(4))^2-12*x^2)*((3+x)*exp(exp(4))^2+x^3)^3/exp(exp(4))^8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-{\mathrm e}^{-{\mathrm e}^{4}} x^{12}-12 \,{\mathrm e}^{{\mathrm e}^{4}} x^{9}-4 \,{\mathrm e}^{{\mathrm e}^{4}} x^{10}-36 \,{\mathrm e}^{3 \,{\mathrm e}^{4}} x^{7}-6 \,{\mathrm e}^{3 \,{\mathrm e}^{4}} x^{8}-36 \,{\mathrm e}^{5 \,{\mathrm e}^{4}} x^{5}-108 \,{\mathrm e}^{7 \,{\mathrm e}^{4}} x -54 \,{\mathrm e}^{7 \,{\mathrm e}^{4}} x^{2}-2 \,{\mathrm e}^{3 \,{\mathrm e}^{4}} \left(2 \,{\mathrm e}^{2 \,{\mathrm e}^{4}}+27\right) x^{6}-12 \,{\mathrm e}^{5 \,{\mathrm e}^{4}} \left({\mathrm e}^{2 \,{\mathrm e}^{4}}+9\right) x^{3}-{\mathrm e}^{5 \,{\mathrm e}^{4}} \left({\mathrm e}^{2 \,{\mathrm e}^{4}}+108\right) x^{4}\right) {\mathrm e}^{-7 \,{\mathrm e}^{4}}$&$135$\\ gosper&$-x \left(x^{3} {\mathrm e}^{8 \,{\mathrm e}^{4}}+4 \,{\mathrm e}^{6 \,{\mathrm e}^{4}} x^{5}+6 \,{\mathrm e}^{4 \,{\mathrm e}^{4}} x^{7}+4 \,{\mathrm e}^{2 \,{\mathrm e}^{4}} x^{9}+x^{11}+12 \,{\mathrm e}^{8 \,{\mathrm e}^{4}} x^{2}+36 \,{\mathrm e}^{6 \,{\mathrm e}^{4}} x^{4}+36 \,{\mathrm e}^{4 \,{\mathrm e}^{4}} x^{6}+12 \,{\mathrm e}^{2 \,{\mathrm e}^{4}} x^{8}+54 \,{\mathrm e}^{8 \,{\mathrm e}^{4}} x +108 x^{3} {\mathrm e}^{6 \,{\mathrm e}^{4}}+54 x^{5} {\mathrm e}^{4 \,{\mathrm e}^{4}}+108 \,{\mathrm e}^{8 \,{\mathrm e}^{4}}+108 x^{2} {\mathrm e}^{6 \,{\mathrm e}^{4}}\right) {\mathrm e}^{-8 \,{\mathrm e}^{4}}$&$137$\\ default&${\mathrm e}^{-8 \,{\mathrm e}^{4}} \left(-x^{12}-4 \,{\mathrm e}^{2 \,{\mathrm e}^{4}} x^{10}-12 \,{\mathrm e}^{2 \,{\mathrm e}^{4}} x^{9}-6 \,{\mathrm e}^{4 \,{\mathrm e}^{4}} x^{8}-36 \,{\mathrm e}^{4 \,{\mathrm e}^{4}} x^{7}+\frac{\left(-24 \,{\mathrm e}^{6 \,{\mathrm e}^{4}}-324 \,{\mathrm e}^{4 \,{\mathrm e}^{4}}\right) x^{6}}{6}-36 \,{\mathrm e}^{6 \,{\mathrm e}^{4}} x^{5}+\frac{\left(-4 \,{\mathrm e}^{2 \,{\mathrm e}^{4}} \left({\mathrm e}^{6 \,{\mathrm e}^{4}}+27 \,{\mathrm e}^{4 \,{\mathrm e}^{4}}\right)-324 \,{\mathrm e}^{6 \,{\mathrm e}^{4}}\right) x^{4}}{4}+\frac{\left(-36 \,{\mathrm e}^{8 \,{\mathrm e}^{4}}-324 \,{\mathrm e}^{6 \,{\mathrm e}^{4}}\right) x^{3}}{3}-54 \,{\mathrm e}^{8 \,{\mathrm e}^{4}} x^{2}-108 \,{\mathrm e}^{8 \,{\mathrm e}^{4}} x \right)$&$154$\\ risch&$-{\mathrm e}^{-8 \,{\mathrm e}^{4}} x^{12}-4 \,{\mathrm e}^{-6 \,{\mathrm e}^{4}} x^{10}-12 \,{\mathrm e}^{-6 \,{\mathrm e}^{4}} x^{9}-6 \,{\mathrm e}^{-4 \,{\mathrm e}^{4}} x^{8}-36 \,{\mathrm e}^{-4 \,{\mathrm e}^{4}} x^{7}-4 \,{\mathrm e}^{-8 \,{\mathrm e}^{4}} x^{6} {\mathrm e}^{6 \,{\mathrm e}^{4}}-54 \,{\mathrm e}^{-8 \,{\mathrm e}^{4}} x^{6} {\mathrm e}^{4 \,{\mathrm e}^{4}}-36 \,{\mathrm e}^{-2 \,{\mathrm e}^{4}} x^{5}-{\mathrm e}^{-8 \,{\mathrm e}^{4}} {\mathrm e}^{6 \,{\mathrm e}^{4}} {\mathrm e}^{2 \,{\mathrm e}^{4}} x^{4}-27 \,{\mathrm e}^{-8 \,{\mathrm e}^{4}} {\mathrm e}^{4 \,{\mathrm e}^{4}} {\mathrm e}^{2 \,{\mathrm e}^{4}} x^{4}-81 \,{\mathrm e}^{-8 \,{\mathrm e}^{4}} {\mathrm e}^{6 \,{\mathrm e}^{4}} x^{4}-12 \,{\mathrm e}^{-8 \,{\mathrm e}^{4}} x^{3} {\mathrm e}^{8 \,{\mathrm e}^{4}}-108 \,{\mathrm e}^{-8 \,{\mathrm e}^{4}} x^{3} {\mathrm e}^{6 \,{\mathrm e}^{4}}-54 x^{2}-108 x$&$185$\\ \hline \end{longtable}"," ",0,"(-1/exp(exp(4))*x^12-12*exp(exp(4))*x^9-4*exp(exp(4))*x^10-36*exp(exp(4))^3*x^7-6*exp(exp(4))^3*x^8-36*exp(exp(4))^5*x^5-108*exp(exp(4))^7*x-54*exp(exp(4))^7*x^2-2*exp(exp(4))^3*(2*exp(exp(4))^2+27)*x^6-12*exp(exp(4))^5*(exp(exp(4))^2+9)*x^3-exp(exp(4))^5*(exp(exp(4))^2+108)*x^4)/exp(exp(4))^7","B"
4094,1,23,26,0.029000," ","int(((2*x^2+3)*ln(3*x^2)^2-4*ln(3*x^2)+2*x^3+4*x^2+2*x+6)/(3*x*ln(3*x^2)^2+3*x^2+6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}}{3}+\ln \left(x \right)-\frac{\ln \left(2+x +\ln \left(3 x^{2}\right)^{2}\right)}{3}$&$23$\\ risch&$\frac{x^{2}}{3}+\ln \left(x \right)-\frac{\ln \left(2+x +\ln \left(3 x^{2}\right)^{2}\right)}{3}$&$23$\\ \hline \end{longtable}"," ",0,"1/3*x^2+ln(x)-1/3*ln(2+x+ln(3*x^2)^2)","A"
4095,1,32,27,0.045000," ","int(-4*x*ln(x*exp(2)^2+4*x)-ln(-exp(5)-1)-6*x^2-2*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x^{2} \ln \left(x \,{\mathrm e}^{4}+4 x \right)-\ln \left(-{\mathrm e}^{5}-1\right) x -2 x^{3}+x$&$32$\\ norman&$\left(-\ln \left(-{\mathrm e}^{5}-1\right)+1\right) x -2 x^{3}-2 x^{2} \ln \left(x \,{\mathrm e}^{4}+4 x \right)$&$36$\\ derivativedivides&$\frac{x \left(4+{\mathrm e}^{4}\right)-2 x^{3} \left(4+{\mathrm e}^{4}\right)-2 \left(4+{\mathrm e}^{4}\right) x^{2} \ln \left(x \left(4+{\mathrm e}^{4}\right)\right)-\ln \left(-{\mathrm e}^{5}-1\right) x \left(4+{\mathrm e}^{4}\right)}{4+{\mathrm e}^{4}}$&$66$\\ default&$-2 x^{3}-x^{2}+x -\frac{2 \,{\mathrm e}^{8} \ln \left(x \left(4+{\mathrm e}^{4}\right)\right) x^{2}}{\left(4+{\mathrm e}^{4}\right)^{2}}-\frac{16 \,{\mathrm e}^{4} \ln \left(x \left(4+{\mathrm e}^{4}\right)\right) x^{2}}{\left(4+{\mathrm e}^{4}\right)^{2}}-\frac{32 \ln \left(x \left(4+{\mathrm e}^{4}\right)\right) x^{2}}{\left(4+{\mathrm e}^{4}\right)^{2}}+\frac{{\mathrm e}^{8} x^{2}}{\left(4+{\mathrm e}^{4}\right)^{2}}+\frac{8 \,{\mathrm e}^{4} x^{2}}{\left(4+{\mathrm e}^{4}\right)^{2}}+\frac{16 x^{2}}{\left(4+{\mathrm e}^{4}\right)^{2}}-\ln \left(-{\mathrm e}^{5}-1\right) x$&$143$\\ \hline \end{longtable}"," ",0,"-2*x^2*ln(x*exp(4)+4*x)-ln(-exp(5)-1)*x-2*x^3+x","A"
4096,1,21,22,0.043000," ","int(((2*x^5+88*x^4+968*x^3)*ln(3)^2-150*x-1650)/(25*x^4+1100*x^3+12100*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} \ln \left(3\right)^{2}}{25}+\frac{3}{x \left(22+x \right)}$&$21$\\ default&$\frac{x^{2} \ln \left(3\right)^{2}}{25}-\frac{3}{22 \left(22+x \right)}+\frac{3}{22 x}$&$23$\\ gosper&$\frac{x^{4} \ln \left(3\right)^{2}+22 x^{3} \ln \left(3\right)^{2}+75}{25 x \left(22+x \right)}$&$30$\\ norman&$\frac{3+\frac{22 x^{3} \ln \left(3\right)^{2}}{25}+\frac{x^{4} \ln \left(3\right)^{2}}{25}}{x \left(22+x \right)}$&$30$\\ \hline \end{longtable}"," ",0,"1/25*x^2*ln(3)^2+3/x/(22+x)","A"
4097,1,12,14,0.050000," ","int(((-exp(x*ln(x))-x)*ln(exp(x*ln(x))+x)+(3*ln(x)+3)*exp(x*ln(x))+3)/(3*exp(x*ln(x))+3*x)/ln(exp(x*ln(x))+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{3}+\ln \left(\ln \left(x^{x}+x \right)\right)$&$12$\\ \hline \end{longtable}"," ",0,"-1/3*x+ln(ln(x^x+x))","A"
4098,1,10,11,0.015000," ","int(3/2*exp(4)*ln(2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{3 \,{\mathrm e}^{4} \ln \left(2\right)}{2 x}$&$10$\\ default&$-\frac{3 \,{\mathrm e}^{4} \ln \left(2\right)}{2 x}$&$10$\\ norman&$-\frac{3 \,{\mathrm e}^{4} \ln \left(2\right)}{2 x}$&$10$\\ risch&$-\frac{3 \,{\mathrm e}^{4} \ln \left(2\right)}{2 x}$&$10$\\ \hline \end{longtable}"," ",0,"-3/2*exp(4)/x*ln(2)","A"
4099,1,19,25,0.089000," ","int(1/2*((-2*x^3+6*x^2-9*x+16)*exp(1/4*(-x^4+4*x^3-9*x^2+32*x+16)/exp(4))+2*exp(4))/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-\frac{\left(x -4\right) \left(x^{3}+9 x +4\right) {\mathrm e}^{-4}}{4}}$&$19$\\ norman&$x +{\mathrm e}^{\frac{\left(-x^{4}+4 x^{3}-9 x^{2}+32 x +16\right) {\mathrm e}^{-4}}{4}}$&$30$\\ default&$\frac{{\mathrm e}^{-4} \left(2 \,{\mathrm e}^{4} {\mathrm e}^{\frac{\left(-x^{4}+4 x^{3}-9 x^{2}+32 x +16\right) {\mathrm e}^{-4}}{4}}+2 x \,{\mathrm e}^{4}\right)}{2}$&$44$\\ \hline \end{longtable}"," ",0,"x+exp(-1/4*(x-4)*(x^3+9*x+4)*exp(-4))","A"
4100,1,39,22,0.062000," ","int(((-2*x+2)*exp(x)^2+2*exp(x)*x^3-2*x^4)*exp((-exp(x)^2+2*exp(x)*x^2-x^2*ln(2)^2-x^4+8*x^2)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{-{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x^{2}-x^{2} \ln \left(2\right)^{2}-x^{4}+8 x^{2}}{x^{2}}}$&$39$\\ risch&${\mathrm e}^{\frac{-{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x^{2}-x^{2} \ln \left(2\right)^{2}-x^{4}+8 x^{2}}{x^{2}}}$&$39$\\ \hline \end{longtable}"," ",0,"exp((-exp(x)^2+2*exp(x)*x^2-x^2*ln(2)^2-x^4+8*x^2)/x^2)","A"
4101,1,37,27,0.057000," ","int(((31*x^3-93*x^2)*ln(x^2-6*x+9)^2+(-10*x^3-50*x^2+220*x+60)*ln(x^2-6*x+9)-20*x^3-90*x^2-40*x)/(4*x^5-8*x^4-11*x^3-3*x^2)/ln(x^2-6*x+9)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{31}{2 \left(2 x +1\right)}+\frac{20+5 x}{x \left(2 x +1\right) \ln \left(x^{2}-6 x +9\right)}$&$37$\\ norman&$\frac{20-\frac{31 x \ln \left(x^{2}-6 x +9\right)}{2}+5 x}{x \left(2 x +1\right) \ln \left(x^{2}-6 x +9\right)}$&$40$\\ \hline \end{longtable}"," ",0,"-31/2/(2*x+1)+5*(4+x)/(2*x+1)/x/ln(x^2-6*x+9)","A"
4102,1,27,30,0.076000," ","int((((-8*exp(x)-8)*exp(-exp(x)+9-x)^2-4*ln(3)+16)*exp(exp(-exp(x)+9-x)^2-x*ln(3)+4*x)+4)/(exp(exp(-exp(x)+9-x)^2-x*ln(3)+4*x)^2+(2*x-10)*exp(exp(-exp(x)+9-x)^2-x*ln(3)+4*x)+x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4}{-5+\left(\frac{1}{3}\right)^{x} {\mathrm e}^{{\mathrm e}^{-2 \,{\mathrm e}^{x}+18-2 x}+4 x}+x}$&$27$\\ \hline \end{longtable}"," ",0,"-4/(-5+(1/3)^x*exp(exp(-2*exp(x)+18-2*x)+4*x)+x)","A"
4103,1,25,18,0.087000," ","int((2*(-6*x^2+3)*ln(2)+1-2*x)*exp(ln(1/6*(2*(3*x^2+3*x)*ln(2)+x)/ln(2))-2*x)/(2*(3*x^2+3*x)*ln(2)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\ln \left(\frac{x \left(6 x \ln \left(2\right)+6 \ln \left(2\right)+1\right)}{6 \ln \left(2\right)}\right)-2 x}$&$25$\\ risch&$\frac{\left(2 \left(3 x^{2}+3 x \right) \ln \left(2\right)+x \right) {\mathrm e}^{-2 x}}{6 \ln \left(2\right)}$&$26$\\ norman&${\mathrm e}^{\ln \left(\frac{2 \left(3 x^{2}+3 x \right) \ln \left(2\right)+x}{6 \ln \left(2\right)}\right)-2 x}$&$28$\\ default&$\frac{{\mathrm e}^{-2 x} x +6 \,{\mathrm e}^{-2 x} \ln \left(2\right) x^{2}+6 \,{\mathrm e}^{-2 x} \ln \left(2\right) x}{6 \ln \left(2\right)}$&$34$\\ \hline \end{longtable}"," ",0,"exp(ln(1/6*x*(6*x*ln(2)+6*ln(2)+1)/ln(2))-2*x)","A"
4104,1,14,16,0.016000," ","int(-exp(x)+32*x+253/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{253 x}{3}+16 x^{2}-{\mathrm e}^{x}$&$14$\\ norman&$\frac{253 x}{3}+16 x^{2}-{\mathrm e}^{x}$&$14$\\ risch&$\frac{253 x}{3}+16 x^{2}-{\mathrm e}^{x}$&$14$\\ \hline \end{longtable}"," ",0,"253/3*x+16*x^2-exp(x)","A"
4105,1,6,13,0.008000," ","int(2*x+28,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \left(x +28\right)$&$6$\\ default&$x^{2}+28 x$&$8$\\ norman&$x^{2}+28 x$&$8$\\ risch&$x^{2}+28 x$&$8$\\ \hline \end{longtable}"," ",0,"x*(x+28)","A"
4106,1,39,22,0.049000," ","int((((4*x^3-96*x^2+768*x-2047)*exp(x)+4*x^4-100*x^3+864*x^2-2815*x+2047)*ln((x+exp(x)-1)/ln(3))+(x^4-32*x^3+384*x^2-2047*x+4095)*exp(x)+x^4-32*x^3+384*x^2-2047*x+4095)/(x+exp(x)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{4}-32 x^{3}+384 x^{2}-2047 x \right) \ln \left(\frac{x +{\mathrm e}^{x}-1}{\ln \left(3\right)}\right)+4095 \ln \left(x +{\mathrm e}^{x}-1\right)$&$39$\\ norman&$4095 \ln \left(\frac{x +{\mathrm e}^{x}-1}{\ln \left(3\right)}\right)+\ln \left(\frac{x +{\mathrm e}^{x}-1}{\ln \left(3\right)}\right) x^{4}-2047 \ln \left(\frac{x +{\mathrm e}^{x}-1}{\ln \left(3\right)}\right) x +384 \ln \left(\frac{x +{\mathrm e}^{x}-1}{\ln \left(3\right)}\right) x^{2}-32 \ln \left(\frac{x +{\mathrm e}^{x}-1}{\ln \left(3\right)}\right) x^{3}$&$76$\\ \hline \end{longtable}"," ",0,"(x^4-32*x^3+384*x^2-2047*x)*ln((x+exp(x)-1)/ln(3))+4095*ln(x+exp(x)-1)","A"
4107,1,16,18,0.068000," ","int((exp(x)*x+x-1)/(x*ln(x)-exp(x)*x+x*ln(103/5)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left(\frac{103}{5}\right)-{\mathrm e}^{x}-x +\ln \left(x \right)\right)$&$16$\\ risch&$-\ln \left(\ln \left(x \right)-{\mathrm e}^{x}+\ln \left(103\right)-\ln \left(5\right)-x \right)$&$20$\\ \hline \end{longtable}"," ",0,"-ln(ln(103/5)-exp(x)-x+ln(x))","A"
4108,1,72,26,0.507000," ","int(((270*x^2+138240*x+17694720)*exp(1)^6*exp(3)+(-810*x-207360)*exp(1)^4)/((x^4+1024*x^3+393216*x^2+67108864*x+4294967296)*exp(1)^8*exp(3)^4+(-12*x^3-9216*x^2-2359296*x-201326592)*exp(1)^6*exp(3)^3+((-24*x^4-24576*x^3-9437184*x^2-1610612736*x-103079215104)*exp(1)^8+(54*x^2+27648*x+3538944)*exp(1)^4)*exp(3)^2+((144*x^3+110592*x^2+28311552*x+2415919104)*exp(1)^6+(-108*x-27648)*exp(1)^2)*exp(3)+(144*x^4+147456*x^3+56623104*x^2+9663676416*x+618475290624)*exp(1)^8+(-216*x^2-110592*x-14155776)*exp(1)^4+81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{-\frac{270 \,{\mathrm e}^{5} x}{{\mathrm e}^{6}-12}-\frac{135 \left(512 \,{\mathrm e}^{5}-3\right)}{{\mathrm e}^{6}-12}}{x^{2} {\mathrm e}^{10}+512 x \,{\mathrm e}^{10}+65536 \,{\mathrm e}^{10}-6 x \,{\mathrm e}^{5}-12 x^{2} {\mathrm e}^{4}-1536 \,{\mathrm e}^{5}-6144 x \,{\mathrm e}^{4}-786432 \,{\mathrm e}^{4}+9}$&$72$\\ gosper&$-\frac{135 \left(2 x \,{\mathrm e}^{2} {\mathrm e}^{3}+512 \,{\mathrm e}^{2} {\mathrm e}^{3}-3\right)}{\left({\mathrm e}^{4} {\mathrm e}^{6} x^{2}+512 \,{\mathrm e}^{4} {\mathrm e}^{6} x +65536 \,{\mathrm e}^{4} {\mathrm e}^{6}-12 x^{2} {\mathrm e}^{4}-6144 x \,{\mathrm e}^{4}-786432 \,{\mathrm e}^{4}-6 x \,{\mathrm e}^{2} {\mathrm e}^{3}-1536 \,{\mathrm e}^{2} {\mathrm e}^{3}+9\right) \left({\mathrm e}^{6}-12\right)}$&$106$\\ norman&$\frac{-\frac{270 \,{\mathrm e}^{2} {\mathrm e}^{3} x}{{\mathrm e}^{6}-12}-\frac{135 \left(512 \,{\mathrm e}^{2} {\mathrm e}^{3}-3\right)}{{\mathrm e}^{6}-12}}{{\mathrm e}^{4} {\mathrm e}^{6} x^{2}+512 \,{\mathrm e}^{4} {\mathrm e}^{6} x +65536 \,{\mathrm e}^{4} {\mathrm e}^{6}-12 x^{2} {\mathrm e}^{4}-6144 x \,{\mathrm e}^{4}-786432 \,{\mathrm e}^{4}-6 x \,{\mathrm e}^{2} {\mathrm e}^{3}-1536 \,{\mathrm e}^{2} {\mathrm e}^{3}+9}$&$116$\\ default&$-\frac{135 \,{\mathrm e}^{4} \left(\munderset{\textit{\_R} =\RootOf \left(-\left(-{\mathrm e}^{20}-144 \,{\mathrm e}^{8}+24 \,{\mathrm e}^{14}\right) \textit{\_Z}^{4}-\left(-1024 \,{\mathrm e}^{20}-147456 \,{\mathrm e}^{8}+12 \,{\mathrm e}^{15}-144 \,{\mathrm e}^{9}+24576 \,{\mathrm e}^{14}\right) \textit{\_Z}^{3}-\left(216 \,{\mathrm e}^{4}-393216 \,{\mathrm e}^{20}-56623104 \,{\mathrm e}^{8}+9216 \,{\mathrm e}^{15}-110592 \,{\mathrm e}^{9}+9437184 \,{\mathrm e}^{14}-54 \,{\mathrm e}^{10}\right) \textit{\_Z}^{2}-\left(108 \,{\mathrm e}^{5}+110592 \,{\mathrm e}^{4}-67108864 \,{\mathrm e}^{20}-9663676416 \,{\mathrm e}^{8}+2359296 \,{\mathrm e}^{15}-28311552 \,{\mathrm e}^{9}+1610612736 \,{\mathrm e}^{14}-27648 \,{\mathrm e}^{10}\right) \textit{\_Z} +81+4294967296 \,{\mathrm e}^{20}+618475290624 \,{\mathrm e}^{8}+2415919104 \,{\mathrm e}^{9}+3538944 \,{\mathrm e}^{10}-14155776 \,{\mathrm e}^{4}-27648 \,{\mathrm e}^{5}-103079215104 \,{\mathrm e}^{14}-201326592 \,{\mathrm e}^{15}\right)}{\sum}\frac{\left(\textit{\_R}^{2} {\mathrm e}^{5}+\left(512 \,{\mathrm e}^{5}-3\right) \textit{\_R} -768+65536 \,{\mathrm e}^{5}\right) \ln \left(x -\textit{\_R} \right)}{-6912 \,{\mathrm e}^{10}-196608 \textit{\_R} \,{\mathrm e}^{20}-2415919104 \,{\mathrm e}^{8}+589824 \,{\mathrm e}^{15}-28311552 \textit{\_R} \,{\mathrm e}^{8}+27648 \,{\mathrm e}^{4}+27 \,{\mathrm e}^{5}-7077888 \,{\mathrm e}^{9}+108 \textit{\_R} \,{\mathrm e}^{4}+4608 \textit{\_R} \,{\mathrm e}^{15}+402653184 \,{\mathrm e}^{14}-55296 \textit{\_R} \,{\mathrm e}^{9}-16777216 \,{\mathrm e}^{20}-108 \textit{\_R}^{2} {\mathrm e}^{9}-\textit{\_R}^{3} {\mathrm e}^{20}-110592 \textit{\_R}^{2} {\mathrm e}^{8}-144 \,{\mathrm e}^{8} \textit{\_R}^{3}+24 \textit{\_R}^{3} {\mathrm e}^{14}-768 \textit{\_R}^{2} {\mathrm e}^{20}+18432 \textit{\_R}^{2} {\mathrm e}^{14}+4718592 \,{\mathrm e}^{14} \textit{\_R} -27 \textit{\_R} \,{\mathrm e}^{10}+9 \textit{\_R}^{2} {\mathrm e}^{15}}\right)}{2}$&$312$\\ \hline \end{longtable}"," ",0,"(-270*exp(5)/(exp(6)-12)*x-135*(512*exp(5)-3)/(exp(6)-12))/(x^2*exp(10)+512*x*exp(10)+65536*exp(10)-6*x*exp(5)-12*x^2*exp(4)-1536*exp(5)-6144*x*exp(4)-786432*exp(4)+9)","B"
4109,1,41,28,0.059000," ","int(((20*x^2*ln(x)^2+(40*x^4-50*x^2-30)*ln(x))*ln(ln(x))+(-60*x^2*ln(3)+x^5-6*x^3+9*x)*ln(x)^3+(-120*x^4*ln(3)+2*x^7-12*x^5+18*x^3)*ln(x)^2+(-60*x^6*ln(3)+x^9-6*x^7+9*x^5-10*x^2+30)*ln(x)-10*x^4+30*x^2)/((x^5-6*x^3+9*x)*ln(x)^3+(2*x^7-12*x^5+18*x^3)*ln(x)^2+(x^9-6*x^7+9*x^5)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{10 \ln \left(\ln \left(x \right)\right)}{\left(x^{2}-3\right) \left(\ln \left(x \right)+x^{2}\right)}+\frac{x^{3}+30 \ln \left(3\right)-3 x}{x^{2}-3}$&$41$\\ \hline \end{longtable}"," ",0,"-10/(x^2-3)/(ln(x)+x^2)*ln(ln(x))+(x^3+30*ln(3)-3*x)/(x^2-3)","A"
4110,1,22,19,0.096000," ","int(((-32*x-1)*ln(1024*x^2+64*x+1)+3840*x-19200)/(32*x^2-159*x-5)/ln(1024*x^2+64*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x -5\right)+60 \ln \left(\ln \left(1024 x^{2}+64 x +1\right)\right)$&$22$\\ norman&$-\ln \left(x -5\right)+60 \ln \left(\ln \left(1024 x^{2}+64 x +1\right)\right)$&$22$\\ risch&$-\ln \left(x -5\right)+60 \ln \left(\ln \left(1024 x^{2}+64 x +1\right)\right)$&$22$\\ \hline \end{longtable}"," ",0,"-ln(x-5)+60*ln(ln(1024*x^2+64*x+1))","A"
4111,1,73,33,0.044000," ","int((100*x*ln(x)^3+(-200*x*exp(1)+40*x^3-80*x^2-260*x-200)*ln(x)^2+(100*x*exp(1)^2+(-40*x^3+80*x^2+560*x+400)*exp(1)+4*x^5-16*x^4-112*x^3+192*x^2+128*x+160)*ln(x)+(-300*x-200)*exp(1)^2+(120*x^3-160*x^2-200*x-80)*exp(1)-12*x^5+24*x^4+40*x^3-104*x^2+48*x)/(25*x*ln(x)^4+(-50*x*exp(1)+10*x^3+30*x^2)*ln(x)^3+(25*x*exp(1)^2+(-10*x^3-80*x^2)*exp(1)+x^5+16*x^4-11*x^3)*ln(x)^2+(50*x^2*exp(1)^2+(-20*x^4-10*x^3)*exp(1)+2*x^6+2*x^5-12*x^4)*ln(x)+25*x^3*exp(1)^2+(-10*x^5+20*x^4)*exp(1)+x^7-4*x^6+4*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{-4 x^{3}+20 x \,{\mathrm e}-20 x \ln \left(x \right)+40 \,{\mathrm e}+8 x -40 \ln \left(x \right)+16}{-x^{3}-x^{2} \ln \left(x \right)+5 x \,{\mathrm e}+5 \,{\mathrm e} \ln \left(x \right)+2 x^{2}-3 x \ln \left(x \right)-5 \ln \left(x \right)^{2}}$&$73$\\ \hline \end{longtable}"," ",0,"4*(-x^3+5*x*exp(1)-5*x*ln(x)+10*exp(1)+2*x-10*ln(x)+4)/(-x^3-x^2*ln(x)+5*x*exp(1)+5*exp(1)*ln(x)+2*x^2-3*x*ln(x)-5*ln(x)^2)","B"
4112,1,19,18,0.031000," ","int(((-12*x^2+72*x-144)*ln(x^2-6*x+12)+4*x^3-27*x^2+84*x-90)/((9*x^2-54*x+108)*ln(x^2-6*x+12)-3*x^3+18*x^2-36*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4 x}{3}+\ln \left(x -3 \ln \left(x^{2}-6 x +12\right)\right)$&$19$\\ risch&$-\frac{4 x}{3}+\ln \left(\ln \left(x^{2}-6 x +12\right)-\frac{x}{3}\right)$&$19$\\ \hline \end{longtable}"," ",0,"-4/3*x+ln(x-3*ln(x^2-6*x+12))","A"
4113,1,27,28,0.116000," ","int(1/2*((8*x*ln(2)+2*x^3+18*x)*exp(1/2*ln(2)-1/2)+2*(-x^2-9)*ln(2))/(x^2+9)/ln(2)/exp(1/2*ln(2)-1/2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{2 \ln \left(2\right)}-\frac{\sqrt{2}\, {\mathrm e}^{\frac{1}{2}} x}{2}+2 \ln \left(x^{2}+9\right)$&$27$\\ norman&$\frac{x^{2}}{2 \ln \left(2\right)}-\frac{\sqrt{2}\, {\mathrm e}^{\frac{1}{2}} x}{2}+2 \ln \left(x^{2}+9\right)$&$29$\\ default&$\frac{{\mathrm e}^{\frac{1}{2}-\frac{\ln \left(2\right)}{2}} \left({\mathrm e}^{\frac{\ln \left(2\right)}{2}-\frac{1}{2}} x^{2}-2 x \ln \left(2\right)+4 \ln \left(2\right) {\mathrm e}^{\frac{\ln \left(2\right)}{2}-\frac{1}{2}} \ln \left(x^{2}+9\right)\right)}{2 \ln \left(2\right)}$&$50$\\ meijerg&$-3 \,{\mathrm e}^{\frac{1}{2}-\frac{\ln \left(2\right)}{2}} \arctan \left(\frac{x}{3}\right)-\frac{3 \,{\mathrm e}^{\frac{1}{2}-\frac{\ln \left(2\right)}{2}} \left(\frac{2 x}{3}-2 \arctan \left(\frac{x}{3}\right)\right)}{2}+\frac{\left(4 \ln \left(2\right)+9\right) \ln \left(1+\frac{x^{2}}{9}\right)}{2 \ln \left(2\right)}+\frac{\frac{x^{2}}{2}-\frac{9 \ln \left(1+\frac{x^{2}}{9}\right)}{2}}{\ln \left(2\right)}$&$76$\\ \hline \end{longtable}"," ",0,"1/2*x^2/ln(2)-1/2*2^(1/2)*exp(1/2)*x+2*ln(x^2+9)","A"
4114,1,299,24,0.216000," ","int(((((-x^2-5)*ln(x)-x^2-5)*ln(x^2+5)+2*x^2*ln(x)+2*x^2)*ln(ln(x)+1)+((2*x^4+10*x^2)*ln(x)+2*x^4+9*x^2-5)*ln(x^2+5)*ln(1/2*x/ln(x^2+5))+((x^4+5*x^2)*ln(x)+x^4+5*x^2)*ln(x^2+5)-2*x^4*ln(x)-2*x^4)/((x^3+5*x)*ln(x)+x^3+5*x)/ln(x^2+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x^{2}+\ln \left(\ln \left(x \right)+1\right)\right) \ln \left(\ln \left(x^{2}+5\right)\right)-\ln \left(x \right) \ln \left(\ln \left(x \right)+1\right)+x^{2} \ln \left(x \right)+\frac{i \pi  \ln \left(\ln \left(x \right)+1\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x^{2}+5\right)}\right)^{3}}{2}+\frac{i \pi  \ln \left(\ln \left(x \right)+1\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x^{2}+5\right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x^{2}+5\right)}\right)}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{\ln \left(x^{2}+5\right)}\right)^{3}}{2}-\frac{i \pi  \ln \left(\ln \left(x \right)+1\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x^{2}+5\right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x^{2}+5\right)}\right)^{2}}{2}-\frac{i \pi  \ln \left(\ln \left(x \right)+1\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x^{2}+5\right)}\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x^{2}+5\right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x^{2}+5\right)}\right)^{2}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x^{2}+5\right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x^{2}+5\right)}\right)}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x^{2}+5\right)}\right)^{2}}{2}-x^{2} \ln \left(2\right)+\ln \left(2\right) \ln \left(\ln \left(x \right)+1\right)$&$299$\\ \hline \end{longtable}"," ",0,"(-x^2+ln(ln(x)+1))*ln(ln(x^2+5))-ln(x)*ln(ln(x)+1)+x^2*ln(x)+1/2*I*Pi*ln(ln(x)+1)*csgn(I*x/ln(x^2+5))^3+1/2*I*Pi*ln(ln(x)+1)*csgn(I*x)*csgn(I/ln(x^2+5))*csgn(I*x/ln(x^2+5))-1/2*I*Pi*x^2*csgn(I*x/ln(x^2+5))^3-1/2*I*Pi*ln(ln(x)+1)*csgn(I/ln(x^2+5))*csgn(I*x/ln(x^2+5))^2-1/2*I*Pi*ln(ln(x)+1)*csgn(I*x)*csgn(I*x/ln(x^2+5))^2+1/2*I*Pi*x^2*csgn(I/ln(x^2+5))*csgn(I*x/ln(x^2+5))^2-1/2*I*Pi*x^2*csgn(I*x)*csgn(I/ln(x^2+5))*csgn(I*x/ln(x^2+5))+1/2*I*Pi*x^2*csgn(I*x)*csgn(I*x/ln(x^2+5))^2-x^2*ln(2)+ln(2)*ln(ln(x)+1)","C"
4115,1,8,9,0.029000," ","int(-48828125/7558272/x^11/exp(16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9765625 \,{\mathrm e}^{-16}}{15116544 x^{10}}$&$8$\\ gosper&$\frac{9765625 \,{\mathrm e}^{-16}}{15116544 x^{10}}$&$10$\\ default&$\frac{9765625 \,{\mathrm e}^{-16}}{15116544 x^{10}}$&$10$\\ norman&$\frac{9765625 \,{\mathrm e}^{-16}}{15116544 x^{10}}$&$10$\\ \hline \end{longtable}"," ",0,"9765625/15116544/x^10*exp(-16)","A"
4116,1,23,24,0.129000," ","int((9*exp(5)+9*exp(1)+9*x^2)/((x^2+2*x+1)*exp(5)+(x^2+2*x+1)*exp(1)-x^3-2*x^2-x)/exp(ln(exp(5)+exp(1)-x)+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{9 x \,{\mathrm e}^{-2}}{\left({\mathrm e}^{5}+{\mathrm e}-x \right) \left(x +1\right)}$&$23$\\ norman&$\frac{9 x \,{\mathrm e}^{-2}}{\left({\mathrm e}^{5}+{\mathrm e}-x \right) \left(x +1\right)}$&$23$\\ risch&$\frac{9 \,{\mathrm e}^{-2} x}{x \,{\mathrm e}^{5}+{\mathrm e}^{5}+x \,{\mathrm e}-x^{2}+{\mathrm e}-x}$&$29$\\ default&$9 \,{\mathrm e}^{-2} \left(-\frac{{\mathrm e}^{5}+{\mathrm e}}{\left({\mathrm e}^{5}+{\mathrm e}+1\right) \left(-{\mathrm e}^{5}-{\mathrm e}+x \right)}-\frac{1}{\left({\mathrm e}^{5}+{\mathrm e}+1\right) \left(x +1\right)}\right)$&$48$\\ \hline \end{longtable}"," ",0,"9*x/exp(ln(exp(5)+exp(1)-x)+2)/(x+1)","A"
4117,1,75,26,0.674000," ","int((((-4*x^4-4*x^3+60*x^2)*ln(x^2)-x^8-5*x^7-5*x^6-8*x^4-16*x^3+80*x^2)*exp((x^4+5*x^3)/(4*exp(x)*ln(x^2)+(x^4+8)*exp(x)))+16*exp(x)*ln(x^2)^2+(8*x^4+64)*exp(x)*ln(x^2)+(x^8+16*x^4+64)*exp(x))/(16*exp(x)*ln(x^2)^2+(8*x^4+64)*exp(x)*ln(x^2)+(x^8+16*x^4+64)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{x^{3} \left(5+x \right) {\mathrm e}^{-x}}{-2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-2 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+x^{4}+8 \ln \left(x \right)+8}}$&$75$\\ \hline \end{longtable}"," ",0,"x+exp(x^3*(5+x)*exp(-x)/(-2*I*Pi*csgn(I*x^2)^3+4*I*Pi*csgn(I*x^2)^2*csgn(I*x)-2*I*Pi*csgn(I*x^2)*csgn(I*x)^2+x^4+8*ln(x)+8))","C"
4118,1,237,23,0.184000," ","int(((2*x*ln(x)^2+32*x*ln(x)-4*x^3+126*x)*ln((ln(x)^2+16*ln(x)-2*x^2+63)/x)+2*x*ln(x)^2+28*x*ln(x)+4*x^3+94*x)/(ln(x)^2+16*ln(x)-2*x^2+63)/ln((ln(x)^2+16*ln(x)-2*x^2+63)/x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x^{2}}{\left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-x^{2}+\frac{\ln \left(x \right)^{2}}{2}+8 \ln \left(x \right)+\frac{63}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-x^{2}+\frac{\ln \left(x \right)^{2}}{2}+8 \ln \left(x \right)+\frac{63}{2}\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-x^{2}+\frac{\ln \left(x \right)^{2}}{2}+8 \ln \left(x \right)+\frac{63}{2}\right)}{x}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i \left(-x^{2}+\frac{\ln \left(x \right)^{2}}{2}+8 \ln \left(x \right)+\frac{63}{2}\right)}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(-x^{2}+\frac{\ln \left(x \right)^{2}}{2}+8 \ln \left(x \right)+\frac{63}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-x^{2}+\frac{\ln \left(x \right)^{2}}{2}+8 \ln \left(x \right)+\frac{63}{2}\right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(-x^{2}+\frac{\ln \left(x \right)^{2}}{2}+8 \ln \left(x \right)+\frac{63}{2}\right)}{x}\right)^{3}-2 \pi +2 i \ln \left(2\right)-2 i \ln \left(x \right)+2 i \ln \left(x^{2}-\frac{\ln \left(x \right)^{2}}{2}-8 \ln \left(x \right)-\frac{63}{2}\right)\right)^{2}}$&$237$\\ \hline \end{longtable}"," ",0,"-4*x^2/(Pi*csgn(I/x)*csgn(I*(-x^2+1/2*ln(x)^2+8*ln(x)+63/2))*csgn(I*(-x^2+1/2*ln(x)^2+8*ln(x)+63/2)/x)-Pi*csgn(I/x)*csgn(I*(-x^2+1/2*ln(x)^2+8*ln(x)+63/2)/x)^2+2*Pi*csgn(I*(-x^2+1/2*ln(x)^2+8*ln(x)+63/2)/x)^2+Pi*csgn(I*(-x^2+1/2*ln(x)^2+8*ln(x)+63/2))*csgn(I*(-x^2+1/2*ln(x)^2+8*ln(x)+63/2)/x)^2+Pi*csgn(I*(-x^2+1/2*ln(x)^2+8*ln(x)+63/2)/x)^3-2*Pi+2*I*ln(2)-2*I*ln(x)+2*I*ln(x^2-1/2*ln(x)^2-8*ln(x)-63/2))^2","C"
4119,1,7,6,0.069000," ","int(1/(exp(4)+x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left({\mathrm e}^{4}+x -1\right)$&$7$\\ norman&$\ln \left({\mathrm e}^{4}+x -1\right)$&$7$\\ risch&$\ln \left({\mathrm e}^{4}+x -1\right)$&$7$\\ meijerg&$\ln \left(1+\frac{x}{{\mathrm e}^{4}-1}\right)$&$12$\\ \hline \end{longtable}"," ",0,"ln(exp(4)+x-1)","A"
4120,1,18,15,0.035000," ","int((x^2-3*x-3)*exp(x)/((x^2-3*x)*exp(x)+4*x^2-24*x+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x -3\right)+\ln \left({\mathrm e}^{x} x +4 x -12\right)$&$18$\\ risch&$-\ln \left(x -3\right)+\ln \left(x \right)+\ln \left({\mathrm e}^{x}+\frac{4 x -12}{x}\right)$&$22$\\ \hline \end{longtable}"," ",0,"-ln(x-3)+ln(exp(x)*x+4*x-12)","A"
4121,1,1531,27,0.648000," ","int(((10*ln(x^2)^2-5*x*ln(x^2))*ln(1/5*(2*ln(x^2)-x)/x/ln(x^2))^2+((2*ln(x)+2)*ln(x^2)^2+(-x*ln(x)-x)*ln(x^2))*ln(1/5*(2*ln(x^2)-x)/x/ln(x^2))+2*ln(x)*ln(x^2)^2-2*x*ln(x))/(10*ln(x^2)^2-5*x*ln(x^2))/ln(1/5*(2*ln(x^2)-x)/x/ln(x^2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{2 x \ln \left(x \right)}{5 \left(-2 \ln \left(2\right)+2 \ln \left(5\right)+2 \ln \left(x \right)+2 \ln \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)-2 \ln \left(-i x +\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}\right) \mathrm{csgn}\left(i \left(-i x +\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)\right) \mathrm{csgn}\left(\frac{i \left(-i x +\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)}{\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}\right)+i \pi  \mathrm{csgn}\left(\frac{i \left(-i x +\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)}{x \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i \left(-i x +\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)\right) \mathrm{csgn}\left(\frac{i \left(-i x +\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)}{\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-i x +\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)}{x \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i \left(-i x +\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)}{\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(-i x +\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)}{x \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(-i x +\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)}{\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}\right)^{3}+i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-i x +\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)}{\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(-i x +\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)}{x \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(-i x +\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)}{\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}\right)^{2}\right)}$&$1531$\\ \hline \end{longtable}"," ",0,"x-2/5*x*ln(x)/(-2*ln(2)+2*ln(5)+2*ln(x)+2*ln(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)-2*ln(-I*x+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3)+I*Pi*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(I*(-I*x+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-I*x+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))+I*Pi*csgn(I/x/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-I*x+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))^3-I*Pi*csgn(I*(-I*x+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-I*x+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))^2-I*Pi*csgn(I/x)*csgn(I/x/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-I*x+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))^2-I*Pi*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-I*x+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))*csgn(I/x/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-I*x+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))^2+I*Pi*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-I*x+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))^3+I*Pi*csgn(I/x)*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-I*x+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))*csgn(I/x/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-I*x+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))-I*Pi*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-I*x+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))^2)","C"
4122,1,17,17,0.026000," ","int(1/25*(25*ln(x^2)^2+(5*x^4-2)*ln(x^2)-2*x^4+4)/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x \left(x^{4}-2\right)}{25 \ln \left(x^{2}\right)}$&$17$\\ norman&$\frac{x \ln \left(x^{2}\right)-\frac{2 x}{25}+\frac{x^{5}}{25}}{\ln \left(x^{2}\right)}$&$23$\\ \hline \end{longtable}"," ",0,"x+1/25*x/ln(x^2)*(x^4-2)","A"
4123,1,17,21,0.044000," ","int(((x^2+3*x+4)*exp(x)+2*x^3+24*x^2-2*x+8)/(2*x^3+24*x^2+96*x+128),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}+x +\frac{{\mathrm e}^{x} x}{2}}{\left(4+x \right)^{2}}$&$17$\\ risch&$x +\frac{49 x +128}{x^{2}+8 x +16}+\frac{x \,{\mathrm e}^{x}}{2 \left(4+x \right)^{2}}$&$29$\\ default&$-\frac{2 \,{\mathrm e}^{x}}{\left(4+x \right)^{2}}-\frac{68}{\left(4+x \right)^{2}}+\frac{49}{4+x}+x +\frac{{\mathrm e}^{x}}{2 x +8}$&$35$\\ \hline \end{longtable}"," ",0,"(x^3+x+1/2*exp(x)*x)/(4+x)^2","A"
4124,1,12,13,0.049000," ","int(-2250/(x^4*exp(1)^2-8*x^4*exp(1)+16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{750}{\left({\mathrm e}-4\right)^{2} x^{3}}$&$12$\\ risch&$\frac{750}{x^{3} \left({\mathrm e}^{2}-8 \,{\mathrm e}+16\right)}$&$16$\\ gosper&$\frac{750}{x^{3} \left({\mathrm e}^{2}-8 \,{\mathrm e}+16\right)}$&$18$\\ default&$\frac{750}{x^{3} \left({\mathrm e}^{2}-8 \,{\mathrm e}+16\right)}$&$18$\\ \hline \end{longtable}"," ",0,"750/(exp(1)-4)^2/x^3","A"
4125,1,14,21,0.020000," ","int((2*ln(x)+4*x^4+4)*exp(ln(x)^2+4*ln(x)+x^4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\ln \left(x \right)^{2}+4 \ln \left(x \right)+x^{4}}$&$14$\\ risch&$x^{4} {\mathrm e}^{\ln \left(x \right)^{2}+x^{4}}$&$14$\\ \hline \end{longtable}"," ",0,"exp(ln(x)^2+4*ln(x)+x^4)","A"
4126,1,15,22,0.022000," ","int(-ln(3+ln(x))*exp(1/(ln(3+ln(x))^2+3))/((2*x*ln(x)+6*x)*ln(3+ln(x))^4+(12*x*ln(x)+36*x)*ln(3+ln(x))^2+18*x*ln(x)+54*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{1}{\ln \left(3+\ln \left(x \right)\right)^{2}+3}}}{4}$&$15$\\ \hline \end{longtable}"," ",0,"1/4*exp(1/(ln(3+ln(x))^2+3))","A"
4127,1,19,19,0.074000," ","int((((-2*x^2-96)*ln(x)^2+(2*x^2+96)*ln(x))*ln(1/16*(x^2+48)*exp(4))+2*x^2*ln(x)^2)/(x^5+48*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{2} \ln \left(\frac{\left(x^{2}+48\right) {\mathrm e}^{4}}{16}\right)}{x^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"1/x^2*ln(x)^2*ln(1/16*(x^2+48)*exp(4))","A"
4128,1,19,20,0.133000," ","int(((x-3)*exp(x)+2*x-5)/((x-3)*ln(3-x)+(x-3)*exp(x)+(3-x)*exp(2)+2*x^2-4*x-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(2 x -{\mathrm e}^{2}+{\mathrm e}^{x}+\ln \left(3-x \right)+2\right)$&$19$\\ norman&$\ln \left({\mathrm e}^{2}-2 x -\ln \left(3-x \right)-{\mathrm e}^{x}-2\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(2*x-exp(2)+exp(x)+ln(3-x)+2)","A"
4129,1,13,12,0.033000," ","int(((x^2+3*x+1)*exp(x)-5)*ln(x)+(x+1)*exp(x)-5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \left({\mathrm e}^{x} x +{\mathrm e}^{x}-5\right) \ln \left(x \right)$&$13$\\ default&$x^{2} {\mathrm e}^{x} \ln \left(x \right)+x \,{\mathrm e}^{x} \ln \left(x \right)-5 x \ln \left(x \right)$&$21$\\ norman&$x^{2} {\mathrm e}^{x} \ln \left(x \right)+x \,{\mathrm e}^{x} \ln \left(x \right)-5 x \ln \left(x \right)$&$21$\\ \hline \end{longtable}"," ",0,"x*(exp(x)*x+exp(x)-5)*ln(x)","A"
4130,1,17,16,0.020000," ","int(((1875*x^2+4*x+253)*ln(x)-625*x^2-2*x-253)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(625 x^{2}+2 x +253\right)}{\ln \left(x \right)}$&$17$\\ norman&$\frac{625 x^{3}+2 x^{2}+253 x}{\ln \left(x \right)}$&$20$\\ default&$\frac{625 x^{3}}{\ln \left(x \right)}+\frac{2 x^{2}}{\ln \left(x \right)}+\frac{253 x}{\ln \left(x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"x*(625*x^2+2*x+253)/ln(x)","A"
4131,1,40,25,0.040000," ","int((((4*x*ln(2)+6*x)*ln(x)+2*(2*x^2-2*x)*ln(2)+6*x^2-6*x)*ln(-1+ln(x)+x)+(2*(4*x^2+2*x)*ln(2)+12*x^2+6*x)*ln(x)+2*(4*x^3-2*x^2-3*x-1)*ln(2)+12*x^3-6*x^2-9*x-3)/((x*ln(x)+x^2-x)*ln(-1+ln(x)+x)+(2*x^2+2*x)*ln(x)+2*x^3-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \ln \left(2\right)+6 x -2 \ln \left(\ln \left(-1+\ln \left(x \right)+x \right)+2 x +2\right) \ln \left(2\right)-3 \ln \left(\ln \left(-1+\ln \left(x \right)+x \right)+2 x +2\right)$&$40$\\ \hline \end{longtable}"," ",0,"4*x*ln(2)+6*x-2*ln(ln(-1+ln(x)+x)+2*x+2)*ln(2)-3*ln(ln(-1+ln(x)+x)+2*x+2)","A"
4132,1,83,23,0.310000," ","int((2*x^5*exp(x)^2+(-2*x^7-10*x^6+2*x^5+20*x^3-40*x^2)*exp(x)+4*x^8+18*x^7+2*x^6-24*x^5+x^4+60*x^3-160*x^2-400)*exp((exp(x)^2*x^4+(-2*x^6-6*x^5+8*x^4+20*x^2)*exp(x)+x^8+6*x^7+x^6-24*x^5-4*x^4-60*x^3+80*x^2+100)/x^4)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-\frac{-x^{8}+2 x^{6} {\mathrm e}^{x}-6 x^{7}+6 x^{5} {\mathrm e}^{x}-x^{6}-8 \,{\mathrm e}^{x} x^{4}-{\mathrm e}^{2 x} x^{4}+24 x^{5}+4 x^{4}-20 \,{\mathrm e}^{x} x^{2}+60 x^{3}-80 x^{2}-100}{x^{4}}}$&$83$\\ \hline \end{longtable}"," ",0,"x*exp(-(-x^8+2*x^6*exp(x)-6*x^7+6*x^5*exp(x)-x^6-8*exp(x)*x^4-exp(2*x)*x^4+24*x^5+4*x^4-20*exp(x)*x^2+60*x^3-80*x^2-100)/x^4)","B"
4133,1,47,23,0.224000," ","int((((-2*x^2-2*x)*exp(exp(1/4))+2*x)*ln((-x^2-x)*exp(exp(1/4))+x)+(12*x^2+11*x)*exp(exp(1/4))-11*x)/(((x+1)*exp(exp(1/4))-1)*ln((-x^2-x)*exp(exp(1/4))+x)^2+((-x^3-x^2-10*x-10)*exp(exp(1/4))+x^2+10)*ln((-x^2-x)*exp(exp(1/4))+x)+(5*x^3+5*x^2+25*x+25)*exp(exp(1/4))-5*x^2-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left(\left(-x^{2}-x \right) {\mathrm e}^{{\mathrm e}^{\frac{1}{4}}}+x \right)-5\right)+\ln \left(x^{2}-\ln \left(\left(-x^{2}-x \right) {\mathrm e}^{{\mathrm e}^{\frac{1}{4}}}+x \right)+5\right)$&$47$\\ risch&$\ln \left(-x^{2}+\ln \left(\left(-x^{2}-x \right) {\mathrm e}^{{\mathrm e}^{\frac{1}{4}}}+x \right)-5\right)-\ln \left(\ln \left(\left(-x^{2}-x \right) {\mathrm e}^{{\mathrm e}^{\frac{1}{4}}}+x \right)-5\right)$&$47$\\ \hline \end{longtable}"," ",0,"-ln(ln((-x^2-x)*exp(exp(1/4))+x)-5)+ln(x^2-ln((-x^2-x)*exp(exp(1/4))+x)+5)","A"
4134,1,38,32,0.085000," ","int(((-exp(x)*x-2*x^2*ln(15)+3*x^3)*ln(x)^2+((-2*x^2-3*x)*exp(x)-7*x^3*ln(15)+9*x^4)*ln(x)+(-x^3-12*x-15)*exp(x)+(-2*x^4-12*x^3-15*x^2)*ln(15)+3*x^5+12*x^4+15*x^3)*exp((3*x-15)/(x+ln(x)))/(2*x*ln(x)^2+4*x^2*ln(x)+2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{x^{3}}{2}-\frac{x^{2} \ln \left(5\right)}{2}-\frac{x^{2} \ln \left(3\right)}{2}-\frac{{\mathrm e}^{x}}{2}\right) {\mathrm e}^{\frac{3 x -15}{x +\ln \left(x \right)}}$&$38$\\ \hline \end{longtable}"," ",0,"(1/2*x^3-1/2*x^2*ln(5)-1/2*x^2*ln(3)-1/2*exp(x))*exp(3*(x-5)/(x+ln(x)))","A"
4135,1,27,27,0.033000," ","int((-10*x^2*exp(5*ln(x^2)+10)-x*ln(x)-x^3+x+8)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{5 \ln \left(x^{2}\right)+10}-x -\frac{4}{x^{2}}+\frac{\ln \left(x \right)}{x}$&$27$\\ \hline \end{longtable}"," ",0,"-exp(5*ln(x^2)+10)-x-4/x^2+ln(x)/x","A"
4136,1,19,29,0.015000," ","int(8*x*ln(2)^3+32*x*ln(2)^2+30*x*ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{2} \ln \left(2\right) \left(4 \ln \left(2\right)^{2}+16 \ln \left(2\right)+15\right)$&$19$\\ norman&$\left(4 \ln \left(2\right)^{3}+16 \ln \left(2\right)^{2}+15 \ln \left(2\right)\right) x^{2}$&$22$\\ default&$4 x^{2} \ln \left(2\right)^{3}+16 x^{2} \ln \left(2\right)^{2}+15 x^{2} \ln \left(2\right)$&$27$\\ risch&$4 x^{2} \ln \left(2\right)^{3}+16 x^{2} \ln \left(2\right)^{2}+15 x^{2} \ln \left(2\right)$&$27$\\ \hline \end{longtable}"," ",0,"x^2*ln(2)*(4*ln(2)^2+16*ln(2)+15)","A"
4137,1,174,23,0.194000," ","int(((81-x)*ln(5)*ln(-1/81*x^2+x)^2+(5*x^2-395*x-810)*ln(5)*ln(-1/81*x^2+x)+(-10*x^2+385*x+810)*ln(5))/((x^2-79*x-162)*ln(-1/81*x^2+x)^2*ln(2+x)^2+(-10*x^3+790*x^2+1620*x)*ln(-1/81*x^2+x)*ln(2+x)+25*x^4-1975*x^3-4050*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(5\right)}{\ln \left(2+x \right)}-\frac{10 \ln \left(5\right) x}{\ln \left(2+x \right) \left(i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -81\right)\right) \mathrm{csgn}\left(i x \left(x -81\right)\right) \ln \left(2+x \right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -81\right)\right)^{2} \ln \left(2+x \right)+2 i \pi  \mathrm{csgn}\left(i x \left(x -81\right)\right)^{2} \ln \left(2+x \right)-i \pi  \,\mathrm{csgn}\left(i \left(x -81\right)\right) \mathrm{csgn}\left(i x \left(x -81\right)\right)^{2} \ln \left(2+x \right)-i \pi  \mathrm{csgn}\left(i x \left(x -81\right)\right)^{3} \ln \left(2+x \right)-2 i \pi  \ln \left(2+x \right)+8 \ln \left(2+x \right) \ln \left(3\right)-2 \ln \left(2+x \right) \ln \left(x \right)-2 \ln \left(2+x \right) \ln \left(x -81\right)+10 x \right)}$&$174$\\ \hline \end{longtable}"," ",0,"ln(5)/ln(2+x)-10*ln(5)*x/ln(2+x)/(I*Pi*csgn(I*x)*csgn(I*(x-81))*csgn(I*x*(x-81))*ln(2+x)-I*Pi*csgn(I*x)*csgn(I*x*(x-81))^2*ln(2+x)+2*I*Pi*csgn(I*x*(x-81))^2*ln(2+x)-I*Pi*csgn(I*(x-81))*csgn(I*x*(x-81))^2*ln(2+x)-I*Pi*csgn(I*x*(x-81))^3*ln(2+x)-2*I*Pi*ln(2+x)+8*ln(2+x)*ln(3)-2*ln(2+x)*ln(x)-2*ln(2+x)*ln(x-81)+10*x)","C"
4138,1,156,30,0.764000," ","int((((1-x)*exp(x)-5)*ln(x^2)+((2*x-1)*exp(x-1)+x^3+4*x^2-2)*exp(x)+(-5*x+5)*exp(x-1)-5*x^2+10)*exp(((5-exp(x))*ln(x^2)+(exp(x-1)+x^2+3*x)*exp(x)-5*exp(x-1)-5*x^2-14*x)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i {\mathrm e}^{x} \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+5 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-10 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+5 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \,{\mathrm e}^{x} x^{2}+4 \,{\mathrm e}^{x} \ln \left(x \right)-2 \,{\mathrm e}^{2 x -1}-6 \,{\mathrm e}^{x} x +10 x^{2}-20 \ln \left(x \right)+10 \,{\mathrm e}^{x -1}+28 x}{2 x}}$&$156$\\ \hline \end{longtable}"," ",0,"exp(-1/2*(-I*exp(x)*Pi*csgn(I*x^2)^3+2*I*exp(x)*Pi*csgn(I*x^2)^2*csgn(I*x)-I*exp(x)*Pi*csgn(I*x^2)*csgn(I*x)^2+5*I*Pi*csgn(I*x^2)^3-10*I*Pi*csgn(I*x^2)^2*csgn(I*x)+5*I*Pi*csgn(I*x^2)*csgn(I*x)^2-2*exp(x)*x^2+4*exp(x)*ln(x)-2*exp(2*x-1)-6*exp(x)*x+10*x^2-20*ln(x)+10*exp(x-1)+28*x)/x)","C"
4139,1,15,18,0.023000," ","int((10*exp(x)*x^2-15)/(2*exp(x)*x^2-3*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \ln \left({\mathrm e}^{x}-\frac{3 \left(x -1\right)}{2 x}\right)$&$15$\\ norman&$-5 \ln \left(x \right)+5 \ln \left(2 \,{\mathrm e}^{x} x -3 x +3\right)$&$19$\\ \hline \end{longtable}"," ",0,"5*ln(exp(x)-3/2*(x-1)/x)","A"
4140,1,27,20,0.064000," ","int((3*ln(x)^2+6*ln(x))*ln(9*x^2)+(8-exp(2))*ln(x)^2+(-2*exp(2)+4)*ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(2-{\mathrm e}^{2}\right) x \ln \left(x \right)^{2}+3 x \ln \left(x \right)^{2} \ln \left(9 x^{2}\right)$&$27$\\ default&$-x \,{\mathrm e}^{2} \ln \left(x \right)^{2}+2 x \ln \left(x \right)^{2}+3 \ln \left(x \right)^{2} \ln \left(x^{2}\right) x +6 x \ln \left(3\right) \ln \left(x \right)^{2}$&$38$\\ risch&$6 x \ln \left(x \right)^{3}-\frac{3 i \pi  \ln \left(x \right)^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) x}{2}+3 i \pi  \ln \left(x \right)^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} x -\frac{3 i \pi  \ln \left(x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} x}{2}+6 x \ln \left(3\right) \ln \left(x \right)^{2}+2 x \ln \left(x \right)^{2}-x \,{\mathrm e}^{2} \ln \left(x \right)^{2}$&$98$\\ \hline \end{longtable}"," ",0,"(2-exp(2))*x*ln(x)^2+3*x*ln(x)^2*ln(9*x^2)","A"
4141,1,20,23,0.045000," ","int(((9*x^3+12*x^2+3*x+1)*exp(3*x^3+6*x^2+3*x)-2*x)/(x^2*exp(3*x^3+6*x^2+3*x)^2-2*x^3*exp(3*x^3+6*x^2+3*x)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x \left(x -{\mathrm e}^{3 x \left(x +1\right)^{2}}\right)}$&$20$\\ norman&$\frac{1}{x \left(x -{\mathrm e}^{3 x^{3}+6 x^{2}+3 x}\right)}$&$26$\\ \hline \end{longtable}"," ",0,"1/x/(x-exp(3*x*(x+1)^2))","A"
4142,1,12,12,0.014000," ","int(5*ln(4*x)+8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$3 x +5 x \ln \left(4 x \right)$&$12$\\ default&$3 x +5 x \ln \left(4 x \right)$&$12$\\ norman&$3 x +5 x \ln \left(4 x \right)$&$12$\\ risch&$3 x +5 x \ln \left(4 x \right)$&$12$\\ \hline \end{longtable}"," ",0,"3*x+5*x*ln(4*x)","A"
4143,1,8,11,0.016000," ","int(1/x^2*ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{\ln \left(3\right)}{x}$&$8$\\ default&$-\frac{\ln \left(3\right)}{x}$&$8$\\ norman&$-\frac{\ln \left(3\right)}{x}$&$8$\\ risch&$-\frac{\ln \left(3\right)}{x}$&$8$\\ \hline \end{longtable}"," ",0,"-ln(3)/x","A"
4144,1,73,28,0.102000," ","int(((-5*exp(x)*x+5*x)*ln(-4/x)+(5*x^3-30*x^2+15*x+5)*exp(x)+(-10*x^2+40*x-5)*exp(4)-15*x^3+130*x^2-260*x+25)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-255+40 \,{\mathrm e}^{4}\right) x +\left(-5 \,{\mathrm e}^{4}+65\right) x^{2}+\left(5 \,{\mathrm e}^{4}-25\right) \ln \left(-\frac{4}{x}\right)-5 x^{3}-40 \,{\mathrm e}^{x} x +5 \,{\mathrm e}^{x} x^{2}-5 \,{\mathrm e}^{x} \ln \left(-\frac{4}{x}\right)+5 \ln \left(-\frac{4}{x}\right) x +55 \,{\mathrm e}^{x}$&$73$\\ default&$-5 \,{\mathrm e}^{x} \left(\ln \left(-\frac{4}{x}\right)+\ln \left(x \right)\right)+55 \,{\mathrm e}^{x}+5 \,{\mathrm e}^{x} x^{2}+5 \,{\mathrm e}^{x} \ln \left(x \right)-40 \,{\mathrm e}^{x} x -5 x^{2} {\mathrm e}^{4}-5 x^{3}+40 x \,{\mathrm e}^{4}+65 x^{2}-255 x -5 \,{\mathrm e}^{4} \ln \left(x \right)+25 \ln \left(x \right)+5 \ln \left(-\frac{4}{x}\right) x$&$81$\\ risch&$\left(5 \,{\mathrm e}^{x}-5 x \right) \ln \left(x \right)-5 i {\mathrm e}^{x} \pi +5 i \pi  x +5 i \pi  x \mathrm{csgn}\left(\frac{i}{x}\right)^{3}-5 i \pi  x \mathrm{csgn}\left(\frac{i}{x}\right)^{2}+5 i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(\frac{i}{x}\right)^{2}-5 x^{2} {\mathrm e}^{4}-5 x^{3}+40 x \,{\mathrm e}^{4}+10 x \ln \left(2\right)+65 x^{2}-255 x -5 \,{\mathrm e}^{4} \ln \left(x \right)+25 \ln \left(x \right)-5 i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(\frac{i}{x}\right)^{3}-10 \,{\mathrm e}^{x} \ln \left(2\right)+55 \,{\mathrm e}^{x}-40 \,{\mathrm e}^{x} x +5 \,{\mathrm e}^{x} x^{2}$&$144$\\ \hline \end{longtable}"," ",0,"(-255+40*exp(4))*x+(-5*exp(4)+65)*x^2+(5*exp(4)-25)*ln(-4/x)-5*x^3-40*exp(x)*x+5*exp(x)*x^2-5*exp(x)*ln(-4/x)+5*ln(-4/x)*x+55*exp(x)","B"
4145,1,57,30,0.073000," ","int(1/5*((20*x^5-x^4+10*x^3)*exp(x/exp(-x^2+1/10*x))^2+((-10*x^4-10*x^3-10*x^2+10*x)*exp(-x^2+1/10*x)-20*x^6+x^5-30*x^4+x^3-10*x^2)*exp(x)*exp(x/exp(-x^2+1/10*x))+(10*x^5+10*x^4+20*x^3+10*x-10)*exp(-x^2+1/10*x)*exp(x)^2)/x^3/exp(-x^2+1/10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{4}+2 x^{2}+1\right) {\mathrm e}^{2 x}}{x^{2}}+{\mathrm e}^{2 x \,{\mathrm e}^{\frac{x \left(10 x -1\right)}{10}}}-\frac{2 \left(x^{2}+1\right) {\mathrm e}^{x \left({\mathrm e}^{\frac{x \left(10 x -1\right)}{10}}+1\right)}}{x}$&$57$\\ \hline \end{longtable}"," ",0,"(x^4+2*x^2+1)/x^2*exp(2*x)+exp(2*x*exp(1/10*x*(10*x-1)))-2*(x^2+1)/x*exp(x*(exp(1/10*x*(10*x-1))+1))","A"
4146,1,29,25,0.058000," ","int(((-x^2+10*x-25)*ln(x)^2+(2*x^2-20*x+50)*ln(x)+2*x^5-23*x^4+80*x^3-80*x^2)/((x^3-10*x^2+25*x)*ln(x)^2+x^6-13*x^5+56*x^4-80*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\ln \left(\ln \left(x \right)^{2}+\frac{x^{2} \left(x^{2}-8 x +16\right)}{x -5}\right)$&$29$\\ norman&$-\ln \left(x \right)-\ln \left(x -5\right)+\ln \left(x^{4}-8 x^{3}+x \ln \left(x \right)^{2}+16 x^{2}-5 \ln \left(x \right)^{2}\right)$&$39$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(ln(x)^2+x^2*(x^2-8*x+16)/(x-5))","A"
4147,1,12,12,0.043000," ","int(1/5*(-2*x^4+300)*exp(1/5*(-x^4-150)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{x^{4}+150}{5 x^{2}}}$&$12$\\ risch&${\mathrm e}^{-\frac{x^{4}+150}{5 x^{2}}}$&$12$\\ norman&${\mathrm e}^{\frac{-x^{4}-150}{5 x^{2}}}$&$14$\\ \hline \end{longtable}"," ",0,"exp(-1/5*(x^4+150)/x^2)","A"
4148,1,15,22,0.024000," ","int(((5+x)*ln(x)^2+5*ln(5))/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +5 \ln \left(x \right)-\frac{5 \ln \left(5\right)}{\ln \left(x \right)}$&$15$\\ risch&$x +5 \ln \left(x \right)-\frac{5 \ln \left(5\right)}{\ln \left(x \right)}$&$15$\\ norman&$\frac{x \ln \left(x \right)+5 \ln \left(x \right)^{2}-5 \ln \left(5\right)}{\ln \left(x \right)}$&$21$\\ \hline \end{longtable}"," ",0,"x+5*ln(x)-5*ln(5)/ln(x)","A"
4149,1,15,14,0.020000," ","int(-exp(exp(5)+3+x)+x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{x^{4}}{4}-{\mathrm e}^{{\mathrm e}^{5}+3+x}$&$15$\\ default&$\frac{x^{4}}{4}-{\mathrm e}^{{\mathrm e}^{5}+3+x}$&$15$\\ norman&$\frac{x^{4}}{4}-{\mathrm e}^{{\mathrm e}^{5}+3+x}$&$15$\\ risch&$\frac{x^{4}}{4}-{\mathrm e}^{{\mathrm e}^{5}+3+x}$&$15$\\ \hline \end{longtable}"," ",0,"1/4*x^4-exp(exp(5)+3+x)","A"
4150,1,34,24,0.081000," ","int((((-5*x^4+5*x^3-9*x^2+9*x)*exp(x)-5*x^2-9)*exp(exp(x))+(-15*x^4-27*x^2)*ln(25/9*x^2+5)-30*x^4+30*x^3)/(5*x^4+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 x \ln \left(\frac{25 x^{2}}{9}+5\right)+3 \ln \left(5 x^{2}+9\right)-\frac{\left(x -1\right) {\mathrm e}^{{\mathrm e}^{x}}}{x}$&$34$\\ \hline \end{longtable}"," ",0,"-3*x*ln(25/9*x^2+5)+3*ln(5*x^2+9)-(x-1)/x*exp(exp(x))","A"
4151,1,8,12,0.014000," ","int(2*exp(2*x+1)*exp(exp(2*x+1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{{\mathrm e}^{2 x +1}}$&$8$\\ default&${\mathrm e}^{{\mathrm e}^{2 x +1}}$&$8$\\ norman&${\mathrm e}^{{\mathrm e}^{2 x +1}}$&$8$\\ risch&${\mathrm e}^{{\mathrm e}^{2 x +1}}$&$8$\\ \hline \end{longtable}"," ",0,"exp(exp(2*x+1))","A"
4152,1,25,23,0.135000," ","int(((-7500*x^6+2)*exp(625*x^6)+4*x^2)/(3*exp(625*x^6)^2+(-12*x*ln(2)-12*x^2)*exp(625*x^6)+12*x^2*ln(2)^2+24*x^3*ln(2)+12*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{2 x}{3 \left(2 x \ln \left(2\right)+2 x^{2}-{\mathrm e}^{625 x^{6}}\right)}$&$25$\\ risch&$-\frac{2 x}{3 \left(2 x \ln \left(2\right)+2 x^{2}-{\mathrm e}^{625 x^{6}}\right)}$&$25$\\ \hline \end{longtable}"," ",0,"-2/3*x/(2*x*ln(2)+2*x^2-exp(625*x^6))","A"
4153,1,21,27,0.033000," ","int((((x^2-2)*exp(x)^2+(-2*x^3+6*x^2+4*x-12)*exp(x)+x^4-6*x^3+7*x^2+12*x-18)*ln(x^2-2)+2*exp(x)^2*x^2+(-4*x^3+16*x^2-8)*exp(x)+2*x^4-12*x^3+14*x^2+8)/((x^2-2)*exp(x)^2+(-2*x^3+6*x^2+4*x-12)*exp(x)+x^4-6*x^3+7*x^2+12*x-18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x^{2}-2\right) x +\frac{4}{-{\mathrm e}^{x}+x -3}$&$21$\\ \hline \end{longtable}"," ",0,"ln(x^2-2)*x+4/(-exp(x)+x-3)","A"
4154,0,0,28,180.000000," ","int((((16*x^3-120*x^2+200*x)*ln(25/x^2)+16*x^3-160*x^2+400*x)*ln(12/x)+(8*x^3-80*x^2+200*x)*ln(25/x^2))/ln(25/x^2)^3/ln(12/x)^3,x)","\[\int \frac{\left(\left(16 x^{3}-120 x^{2}+200 x \right) \ln \left(\frac{25}{x^{2}}\right)+16 x^{3}-160 x^{2}+400 x \right) \ln \left(\frac{12}{x}\right)+\left(8 x^{3}-80 x^{2}+200 x \right) \ln \left(\frac{25}{x^{2}}\right)}{\ln \left(\frac{25}{x^{2}}\right)^{3} \ln \left(\frac{12}{x}\right)^{3}}\, dx\]"," ",0,"int((((16*x^3-120*x^2+200*x)*ln(25/x^2)+16*x^3-160*x^2+400*x)*ln(12/x)+(8*x^3-80*x^2+200*x)*ln(25/x^2))/ln(25/x^2)^3/ln(12/x)^3,x)","F"
4155,1,152,26,0.214000," ","int(1/125*(10*x*ln(x^2/exp(2/5/x))^2+8*ln(x)*ln(x^2/exp(2/5/x))+(-10*x-8)*ln(x)^2+10*x^2*ln(x)+10*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{2 x \ln \left(x \right)}{25}-\frac{8 \ln \left(x \right)^{2}}{125 x}+\frac{2 \left(\ln \left(x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)-2 \ln \left(x \right)+\ln \left({\mathrm e}^{\frac{2}{5 x}}\right)\right)^{2} \ln \left(x \right)}{25}+\frac{2 \ln \left(x \right) \ln \left({\mathrm e}^{\frac{2}{5 x}}\right)^{2}}{25}-\frac{4 \left(\ln \left({\mathrm e}^{\frac{2}{5 x}}\right)-\frac{2}{5 x}\right) \ln \left(x \right)^{2}}{25}+\frac{4 \left(\ln \left(x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)-2 \ln \left(x \right)+\ln \left({\mathrm e}^{\frac{2}{5 x}}\right)\right) \ln \left(x \right)^{2}}{25}+\frac{2 \ln \left(x \right)^{3}}{25}-\frac{4 \left(\ln \left(x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)-2 \ln \left(x \right)+\ln \left({\mathrm e}^{\frac{2}{5 x}}\right)\right) \ln \left(x \right) \ln \left({\mathrm e}^{\frac{2}{5 x}}\right)}{25}$&$152$\\ risch&$\frac{2 \ln \left(x \right)^{3}}{25}+\frac{2 x \ln \left(x \right)}{25}+\frac{2 \pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}}{25}+\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{2}}{25}-\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right)^{2} \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{4}}{50}+\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{5}}{25}-\frac{2 i \pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{3} \ln \left(x \right)^{2}}{25}+\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{5}}{25}-\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{3}}{25}-\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{4}}{50}-\frac{2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} \ln \left(x \right)^{2}}{25}-\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}}{50}+\frac{2 \pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}}{25}-\frac{3 \pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}}{25}-\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{6}}{50}-\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{6}}{50}-\frac{2 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right) \ln \left(x \right)^{2}}{25}+\frac{2 \pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)}{25}-\frac{2 \pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{2}}{25}-\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)}{25}+\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{2}}{25}+\frac{\left(10 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-20 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+10 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+10 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)-10 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{2}-10 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{2}+10 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{3}-20 \ln \left(x \right)^{2}\right) \ln \left({\mathrm e}^{\frac{2}{5 x}}\right)}{125}+\frac{2 \ln \left(x \right) \ln \left({\mathrm e}^{\frac{2}{5 x}}\right)^{2}}{25}+\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{3}}{25}+\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right)^{2} \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{3}}{25}-\frac{2 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \ln \left(x \right)^{2}}{25}+\frac{4 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \ln \left(x \right)^{2}}{25}+\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{2}}{25}-\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right)^{2} \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{2}}{50}-\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{3}}{25}-\frac{2 \pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{2}}{25}+\frac{2 \pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{3}}{25}-\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)}{25}-\frac{2 \pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{4}}{25}+\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{2}}{25}+\frac{2 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{2} \ln \left(x \right)^{2}}{25}+\frac{2 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-\frac{2}{5 x}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-\frac{2}{5 x}}\right)^{2} \ln \left(x \right)^{2}}{25}$&$1286$\\ \hline \end{longtable}"," ",0,"2/25*x*ln(x)-8/125*ln(x)^2/x+2/25*(ln(x^2/exp(2/5/x))-2*ln(x)+ln(exp(2/5/x)))^2*ln(x)+2/25*ln(x)*ln(exp(2/5/x))^2-4/25*(ln(exp(2/5/x))-2/5/x)*ln(x)^2+4/25*(ln(x^2/exp(2/5/x))-2*ln(x)+ln(exp(2/5/x)))*ln(x)^2+2/25*ln(x)^3-4/25*(ln(x^2/exp(2/5/x))-2*ln(x)+ln(exp(2/5/x)))*ln(x)*ln(exp(2/5/x))","B"
4156,1,23,23,0.086000," ","int(((10*x^2+13*x)*exp(4)+5*x^3+13*x^2-10*x-26)/(5*x^3+13*x^2)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-4}+\frac{2 \,{\mathrm e}^{-4}}{x}+\ln \left(5 x^{2}+13 x \right)$&$23$\\ default&${\mathrm e}^{-4} \left(x +{\mathrm e}^{4} \ln \left(x \right)+\frac{2}{x}+{\mathrm e}^{4} \ln \left(13+5 x \right)\right)$&$27$\\ norman&$\frac{x^{2} {\mathrm e}^{-4}+2 \,{\mathrm e}^{-4}}{x}+\ln \left(x \right)+\ln \left(13+5 x \right)$&$29$\\ meijerg&$-\frac{10 \,{\mathrm e}^{-4} \left(-\frac{13}{5 x}-\ln \left(x \right)-\ln \left(5\right)+\ln \left(13\right)+\ln \left(1+\frac{5 x}{13}\right)\right)}{13}+\frac{\left(10 \,{\mathrm e}^{4}+13\right) {\mathrm e}^{-4} \ln \left(1+\frac{5 x}{13}\right)}{5}+\frac{\left(13 \,{\mathrm e}^{4}-10\right) {\mathrm e}^{-4} \left(\ln \left(x \right)+\ln \left(5\right)-\ln \left(13\right)-\ln \left(1+\frac{5 x}{13}\right)\right)}{13}+\frac{13 \,{\mathrm e}^{-4} \left(\frac{5 x}{13}-\ln \left(1+\frac{5 x}{13}\right)\right)}{5}$&$87$\\ \hline \end{longtable}"," ",0,"x*exp(-4)+2*exp(-4)/x+ln(5*x^2+13*x)","A"
4157,1,31,23,0.195000," ","int((x^2+10*x+15)*exp(((-x^2-3*x)*ln(5)-2*x-10)/(5+x)/ln(5))/(x^2+10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{-\frac{x^{2} \ln \left(5\right)+3 x \ln \left(5\right)+2 x +10}{\left(5+x \right) \ln \left(5\right)}}$&$31$\\ risch&$-{\mathrm e}^{-\frac{x^{2} \ln \left(5\right)+3 x \ln \left(5\right)+2 x +10}{\left(5+x \right) \ln \left(5\right)}}$&$31$\\ norman&$\frac{-x \,{\mathrm e}^{\frac{\left(-x^{2}-3 x \right) \ln \left(5\right)-2 x -10}{\left(5+x \right) \ln \left(5\right)}}-5 \,{\mathrm e}^{\frac{\left(-x^{2}-3 x \right) \ln \left(5\right)-2 x -10}{\left(5+x \right) \ln \left(5\right)}}}{5+x}$&$69$\\ \hline \end{longtable}"," ",0,"-exp(-(x^2*ln(5)+3*x*ln(5)+2*x+10)/(5+x)/ln(5))","A"
4158,1,9,10,0.027000," ","int(5/12*exp(x-3)*exp(exp(x-3))*exp(5/12*exp(exp(x-3))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{\frac{5 \,{\mathrm e}^{{\mathrm e}^{x -3}}}{12}}$&$9$\\ default&${\mathrm e}^{\frac{5 \,{\mathrm e}^{{\mathrm e}^{x -3}}}{12}}$&$9$\\ norman&${\mathrm e}^{\frac{5 \,{\mathrm e}^{{\mathrm e}^{x -3}}}{12}}$&$9$\\ risch&${\mathrm e}^{\frac{5 \,{\mathrm e}^{{\mathrm e}^{x -3}}}{12}}$&$9$\\ \hline \end{longtable}"," ",0,"exp(5/12*exp(exp(x-3)))","A"
4159,1,24,21,0.145000," ","int((-x^2*exp(3)*exp(x)+3*exp((-x*exp(3)-3)/x/exp(3))-x^2*exp(3))*exp(-exp(x)+exp((-x*exp(3)-3)/x/exp(3))-x)/x^2/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-{\mathrm e}^{x}+{\mathrm e}^{-\frac{\left(x \,{\mathrm e}^{3}+3\right) {\mathrm e}^{-3}}{x}}-x}$&$24$\\ norman&${\mathrm e}^{-{\mathrm e}^{x}+{\mathrm e}^{\frac{\left(-x \,{\mathrm e}^{3}-3\right) {\mathrm e}^{-3}}{x}}-x}$&$26$\\ \hline \end{longtable}"," ",0,"exp(-exp(x)+exp(-(x*exp(3)+3)*exp(-3)/x)-x)","A"
4160,1,26,18,0.071000," ","int(1/2*(x^5+5*x^4+6*x+6)*exp(4)*exp(x)*ln(x)+1/2*((x^4+6)*exp(4)+16)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right) {\mathrm e}^{4+x} x^{5}}{2}+3 \ln \left(x \right) {\mathrm e}^{4+x} x +8 \,{\mathrm e}^{x}$&$26$\\ \hline \end{longtable}"," ",0,"1/2*ln(x)*exp(4+x)*x^5+3*ln(x)*exp(4+x)*x+8*exp(x)","A"
4161,1,24,22,0.059000," ","int((100*exp(x)^3-240*x*exp(x)^2+(200*x^3-56*x^2)*exp(x)-120*x^4+120*x^3)*exp(-5*x^2/(5*exp(x)^2-6*exp(x)*x))/(25*exp(x)^3-60*x*exp(x)^2+36*exp(x)*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \,{\mathrm e}^{\frac{5 x^{2}}{-5 \,{\mathrm e}^{2 x}+6 \,{\mathrm e}^{x} x}}$&$24$\\ \hline \end{longtable}"," ",0,"4*x*exp(5*x^2/(-5*exp(2*x)+6*exp(x)*x))","A"
4162,1,20,21,0.140000," ","int(((9*x^3+27*x^2+18*x)*exp(4)*exp(x)+3*x^2+6*x+2)*exp(9*x*exp(4)*exp(x)+3*x)/(x^2+4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{9 x \,{\mathrm e}^{4} {\mathrm e}^{x}+3 x} x}{2+x}$&$20$\\ risch&$\frac{{\mathrm e}^{3 x \left(3 \,{\mathrm e}^{4+x}+1\right)} x}{2+x}$&$20$\\ \hline \end{longtable}"," ",0,"exp(9*x*exp(4)*exp(x)+3*x)/(2+x)*x","A"
4163,1,107,31,0.212000," ","int((((150*x^3+6*x)*exp(x)^10+(3000*x^4+120*x^2)*exp(x)^8+(24000*x^5+30720*x^4-14400*x^3)*exp(x)^6+(96000*x^6+245760*x^5-119040*x^4)*exp(x)^4+(192000*x^7+491520*x^6-238080*x^5-1572864*x^4+393216*x^3)*exp(x)^2+153600*x^8+6144*x^6-1572864*x^4)*exp((25*x^2*exp(x)^8+400*x^3*exp(x)^6+(2400*x^4-2560*x^2)*exp(x)^4+(6400*x^5-20480*x^3)*exp(x)^2+6400*x^6-40960*x^4+65536*x^2)/(exp(x)^8+16*x*exp(x)^6+96*x^2*exp(x)^4+256*exp(x)^2*x^3+256*x^4))-4*exp(x)^10-80*x*exp(x)^8-640*x^2*exp(x)^6-2560*x^3*exp(x)^4-5120*exp(x)^2*x^4-4096*x^5)/(3*exp(x)^10+60*x*exp(x)^8+480*x^2*exp(x)^6+1920*x^3*exp(x)^4+3840*exp(x)^2*x^4+3072*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x}{3}+x^{2} {\mathrm e}^{\frac{x^{2} \left(6400 \,{\mathrm e}^{2 x} x^{3}+6400 x^{4}+2400 x^{2} {\mathrm e}^{4 x}-20480 x \,{\mathrm e}^{2 x}+400 x \,{\mathrm e}^{6 x}-40960 x^{2}+25 \,{\mathrm e}^{8 x}-2560 \,{\mathrm e}^{4 x}+65536\right)}{{\mathrm e}^{8 x}+16 x \,{\mathrm e}^{6 x}+96 x^{2} {\mathrm e}^{4 x}+256 \,{\mathrm e}^{2 x} x^{3}+256 x^{4}}}$&$107$\\ \hline \end{longtable}"," ",0,"-4/3*x+x^2*exp(x^2*(6400*exp(2*x)*x^3+6400*x^4+2400*x^2*exp(4*x)-20480*x*exp(2*x)+400*x*exp(6*x)-40960*x^2+25*exp(8*x)-2560*exp(4*x)+65536)/(exp(8*x)+16*x*exp(6*x)+96*x^2*exp(4*x)+256*exp(2*x)*x^3+256*x^4))","B"
4164,1,24,21,0.112000," ","int(((-x^3-x^2-3*x-4)*exp((x^3+5*x^2-3*x-2)/x^2)+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{x^{3}+5 x^{2}-3 x -2}{x^{2}}} x +x$&$24$\\ norman&$\frac{x^{2}-{\mathrm e}^{\frac{x^{3}+5 x^{2}-3 x -2}{x^{2}}} x^{2}}{x}$&$32$\\ \hline \end{longtable}"," ",0,"-exp((x^3+5*x^2-3*x-2)/x^2)*x+x","A"
4165,1,29,23,0.066000," ","int(((-80*x^2+80)*ln(ln(5)^2+4*ln(5)+4)^2+(-40*x^3+40*x)*ln(ln(5)^2+4*ln(5)+4)-5*x^4+10*x^2)/(16*x^2*ln(ln(5)^2+4*ln(5)+4)^2+8*x^3*ln(ln(5)^2+4*ln(5)+4)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-5 x -\frac{5}{x}-\frac{5}{4 \ln \left(\ln \left(5\right)^{2}+4 \ln \left(5\right)+4\right)+x}$&$29$\\ risch&$-5 x +\frac{-40 \ln \left(2+\ln \left(5\right)\right)-10 x}{\left(x +8 \ln \left(2+\ln \left(5\right)\right)\right) x}$&$32$\\ norman&$\frac{\left(80 \ln \left(\ln \left(5\right)^{2}+4 \ln \left(5\right)+4\right)^{2}-10\right) x -5 x^{3}-20 \ln \left(\ln \left(5\right)^{2}+4 \ln \left(5\right)+4\right)}{x \left(4 \ln \left(\ln \left(5\right)^{2}+4 \ln \left(5\right)+4\right)+x \right)}$&$60$\\ gosper&$\frac{80 x \ln \left(\ln \left(5\right)^{2}+4 \ln \left(5\right)+4\right)^{2}-5 x^{3}-20 \ln \left(\ln \left(5\right)^{2}+4 \ln \left(5\right)+4\right)-10 x}{x \left(4 \ln \left(\ln \left(5\right)^{2}+4 \ln \left(5\right)+4\right)+x \right)}$&$61$\\ \hline \end{longtable}"," ",0,"-5*x-5/x-5/(4*ln(ln(5)^2+4*ln(5)+4)+x)","A"
4166,1,22,20,0.065000," ","int(((32*x^2*ln(3*x)+16*x^2+16*x-16)*exp(x^2*ln(3*x)+x)-36)/(16*exp(x^2*ln(3*x)+x)^2+(-32*x+72)*exp(x^2*ln(3*x)+x)+16*x^2-72*x+81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x}{4 x -4 \left(3 x \right)^{x^{2}} {\mathrm e}^{x}-9}$&$22$\\ norman&$\frac{4 x}{4 x -4 \,{\mathrm e}^{x^{2} \ln \left(3 x \right)+x}-9}$&$24$\\ \hline \end{longtable}"," ",0,"4*x/(4*x-4*(3*x)^(x^2)*exp(x)-9)","A"
4167,1,25,25,0.162000," ","int(((-20*exp(1)^2+10*x^4)*exp(exp(1)^2/x^4)-15*x^5-10*x^4+x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x^{3}+5 x^{2} {\mathrm e}^{\frac{{\mathrm e}^{2}}{x^{4}}}-5 x^{2}+x$&$25$\\ norman&$\frac{x^{3}-5 x^{4}-5 x^{5}+5 \,{\mathrm e}^{\frac{{\mathrm e}^{2}}{x^{4}}} x^{4}}{x^{2}}$&$33$\\ \hline \end{longtable}"," ",0,"-5*x^3+5*x^2*exp(exp(2)/x^4)-5*x^2+x","A"
4168,1,21,23,0.020000," ","int((-ln(8*ln(2)-4*exp(2))-exp(2)*ln(3))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{2} \ln \left(3\right)+\ln \left(8 \ln \left(2\right)-4 \,{\mathrm e}^{2}\right)}{x}$&$21$\\ default&$-\frac{-\ln \left(8 \ln \left(2\right)-4 \,{\mathrm e}^{2}\right)-{\mathrm e}^{2} \ln \left(3\right)}{x}$&$25$\\ norman&$\frac{{\mathrm e}^{2} \ln \left(3\right)+2 \ln \left(2\right)+\ln \left(2 \ln \left(2\right)-{\mathrm e}^{2}\right)}{x}$&$25$\\ risch&$\frac{{\mathrm e}^{2} \ln \left(3\right)}{x}+\frac{2 \ln \left(2\right)}{x}+\frac{\ln \left(2 \ln \left(2\right)-{\mathrm e}^{2}\right)}{x}$&$31$\\ \hline \end{longtable}"," ",0,"(exp(2)*ln(3)+ln(8*ln(2)-4*exp(2)))/x","A"
4169,1,21,22,0.033000," ","int(((8*x^4-136*x^3+840*x^2-2200*x+2000)*exp(x^4-20*x^3+150*x^2-500*x+625)^2-1)/((2*x-4)*ln(x-2)^2+((-4*x+8)*exp(x^4-20*x^3+150*x^2-500*x+625)^2+12*x-24)*ln(x-2)+(2*x-4)*exp(x^4-20*x^3+150*x^2-500*x+625)^4+(-12*x+24)*exp(x^4-20*x^3+150*x^2-500*x+625)^2+18*x-36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{2 \left({\mathrm e}^{2 \left(x -5\right)^{4}}-\ln \left(x -2\right)-3\right)}$&$21$\\ \hline \end{longtable}"," ",0,"-1/2/(exp(2*(x-5)^4)-ln(x-2)-3)","A"
4170,1,14,20,0.142000," ","int((-3*ln(3)+3*x-2)*exp(ln(ln(3)-x)-3/2*x)*exp(exp(ln(ln(3)-x)-3/2*x))*exp(exp(exp(ln(ln(3)-x)-3/2*x)))/(2*ln(3)-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\left(\ln \left(3\right)-x \right) {\mathrm e}^{-\frac{3 x}{2}}}}$&$14$\\ \hline \end{longtable}"," ",0,"exp(exp((ln(3)-x)*exp(-3/2*x)))","A"
4171,1,19,19,0.037000," ","int(((100*ln(5)*exp(x)^3-100*x*ln(5))*ln(exp(x)^3-x)+300*x*ln(5)*exp(x)^3-100*x*ln(5))*exp(2*x*ln(5)*ln(exp(x)^3-x))^2/(exp(x)^3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 \left({\mathrm e}^{3 x}-x \right)^{4 x \ln \left(5\right)}$&$19$\\ \hline \end{longtable}"," ",0,"25*((exp(3*x)-x)^(2*x*ln(5)))^2","A"
4172,1,15,18,0.049000," ","int(((-90*x+10)*ln(x)^2+(180*x+20)*ln(x))/(729*x^3+243*x^2+27*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{10 x \ln \left(x \right)^{2}}{\left(9 x +1\right)^{2}}$&$15$\\ risch&$\frac{10 x \ln \left(x \right)^{2}}{81 x^{2}+18 x +1}$&$20$\\ default&$\frac{20 \ln \left(x \right) x}{9 x +1}+\frac{-20 x \ln \left(x \right)-180 x^{2} \ln \left(x \right)+10 x \ln \left(x \right)^{2}}{\left(9 x +1\right)^{2}}$&$42$\\ \hline \end{longtable}"," ",0,"10*x*ln(x)^2/(9*x+1)^2","A"
4173,1,19,18,0.033000," ","int((96*x*ln(16/x^3/exp(1))^3-5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{x}-8 \ln \left(\frac{16 \,{\mathrm e}^{-1}}{x^{3}}\right)^{4}$&$19$\\ derivativedivides&$\frac{5}{x}-8 \ln \left(\frac{16 \,{\mathrm e}^{-1}}{x^{3}}\right)^{4}$&$21$\\ default&$\frac{5}{x}-8 \ln \left(\frac{16 \,{\mathrm e}^{-1}}{x^{3}}\right)^{4}$&$21$\\ norman&$\frac{5-8 x \ln \left(\frac{16 \,{\mathrm e}^{-1}}{x^{3}}\right)^{4}}{x}$&$22$\\ \hline \end{longtable}"," ",0,"5/x-8*ln(16*exp(-1)/x^3)^4","A"
4174,1,19,23,0.028000," ","int((4*x^3*exp(x^2+5)^2+2*x^3+x^2-45)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+x +\frac{45}{x}+{\mathrm e}^{2 x^{2}+10}$&$19$\\ default&$x^{2}+x +\frac{45}{x}+{\mathrm e}^{10} {\mathrm e}^{2 x^{2}}$&$22$\\ norman&$\frac{45+x^{2}+x^{3}+x \,{\mathrm e}^{2 x^{2}+10}}{x}$&$23$\\ \hline \end{longtable}"," ",0,"x^2+x+45/x+exp(2*x^2+10)","A"
4175,1,32,24,0.188000," ","int(((4*x^4+200*x^3+2500*x^2)*exp(x)+6*x^2+172*x+2150)*exp((-2*x^2-50*x)/((2*x^2+50*x)*exp(x)-2*x^2-53*x-43))/((4*x^4+200*x^3+2500*x^2)*exp(x)^2+(-8*x^4-412*x^3-5472*x^2-4300*x)*exp(x)+4*x^4+212*x^3+2981*x^2+4558*x+1849),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 x \left(x +25\right)}{2 \,{\mathrm e}^{x} x^{2}+50 \,{\mathrm e}^{x} x -2 x^{2}-53 x -43}}$&$32$\\ norman&$\frac{-53 x \,{\mathrm e}^{\frac{-2 x^{2}-50 x}{\left(2 x^{2}+50 x \right) {\mathrm e}^{x}-2 x^{2}-53 x -43}}-2 x^{2} {\mathrm e}^{\frac{-2 x^{2}-50 x}{\left(2 x^{2}+50 x \right) {\mathrm e}^{x}-2 x^{2}-53 x -43}}+50 \,{\mathrm e}^{x} x \,{\mathrm e}^{\frac{-2 x^{2}-50 x}{\left(2 x^{2}+50 x \right) {\mathrm e}^{x}-2 x^{2}-53 x -43}}+2 \,{\mathrm e}^{x} x^{2} {\mathrm e}^{\frac{-2 x^{2}-50 x}{\left(2 x^{2}+50 x \right) {\mathrm e}^{x}-2 x^{2}-53 x -43}}-43 \,{\mathrm e}^{\frac{-2 x^{2}-50 x}{\left(2 x^{2}+50 x \right) {\mathrm e}^{x}-2 x^{2}-53 x -43}}}{2 \,{\mathrm e}^{x} x^{2}+50 \,{\mathrm e}^{x} x -2 x^{2}-53 x -43}$&$224$\\ \hline \end{longtable}"," ",0,"exp(-2*x*(x+25)/(2*exp(x)*x^2+50*exp(x)*x-2*x^2-53*x-43))","A"
4176,1,20,20,0.093000," ","int(((2*x^3-8*x)*exp(12)+2*x^4-23*x^2+20)/(x^3-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \,{\mathrm e}^{12}+x^{2}-5 \ln \left(x^{3}-4 x \right)$&$20$\\ default&$x^{2}+2 x \,{\mathrm e}^{12}-5 \ln \left(2+x \right)-5 \ln \left(x -2\right)-5 \ln \left(x \right)$&$26$\\ norman&$x^{2}+2 x \,{\mathrm e}^{12}-5 \ln \left(2+x \right)-5 \ln \left(x -2\right)-5 \ln \left(x \right)$&$26$\\ meijerg&$-5 \ln \left(x \right)+5 \ln \left(2\right)-\frac{5 i \pi}{2}-5 \ln \left(1-\frac{x^{2}}{4}\right)-2 i {\mathrm e}^{12} \left(i x -2 i \arctanh \left(\frac{x}{2}\right)\right)+4 \,{\mathrm e}^{12} \arctanh \left(\frac{x}{2}\right)+x^{2}$&$52$\\ \hline \end{longtable}"," ",0,"2*x*exp(12)+x^2-5*ln(x^3-4*x)","A"
4177,1,16,17,0.097000," ","int(((-360*x^3+540*x^2)*ln(x)+180*x^3-180*x^2)*exp(-180*x^3/(x-1)/ln(x))/(x^2-2*x+1)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{180 x^{3}}{\left(x -1\right) \ln \left(x \right)}}$&$16$\\ \hline \end{longtable}"," ",0,"exp(-180*x^3/(x-1)/ln(x))","A"
4178,1,28,16,0.078000," ","int(2*exp(3+x)*exp(exp(3+x))*exp(exp(exp(3+x)))^2+((2*x-4)*exp(3+x)*exp(exp(3+x))+2)*exp(exp(exp(3+x)))+2*x-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{3+x}}}+\left(2 x -4\right) {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3+x}}}+x^{2}-3 x$&$28$\\ default&$-3 x +2 x \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3+x}}}-4 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3+x}}}+x^{2}+{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{3+x}}}$&$33$\\ norman&$-3 x +2 x \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3+x}}}-4 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3+x}}}+x^{2}+{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{3+x}}}$&$33$\\ \hline \end{longtable}"," ",0,"exp(2*exp(exp(3+x)))+(2*x-4)*exp(exp(exp(3+x)))+x^2-3*x","A"
4179,1,7,20,0.013000," ","int(1/(ln(x*exp(-ln(x)-1))-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x +1\right)$&$7$\\ risch&$-\ln \left(x +1\right)$&$7$\\ default&$-\ln \left(-x -1\right)$&$9$\\ \hline \end{longtable}"," ",0,"-ln(x+1)","A"
4180,1,19,24,0.039000," ","int(1/3*((12*x-12)*exp(x)-4*ln(2)-x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{3}+\frac{4 \,{\mathrm e}^{x}}{x}+\frac{4 \ln \left(2\right)}{3 x}$&$19$\\ norman&$\frac{-\frac{x^{2}}{3}+4 \,{\mathrm e}^{x}+\frac{4 \ln \left(2\right)}{3}}{x}$&$19$\\ risch&$-\frac{x}{3}+\frac{4 \,{\mathrm e}^{x}}{x}+\frac{4 \ln \left(2\right)}{3 x}$&$19$\\ \hline \end{longtable}"," ",0,"-1/3*x+4*exp(x)/x+4/3*ln(2)/x","A"
4181,0,0,26,0.063000," ","int(((5*exp(1/2*(10*x-5)/x)*ln(1/5*x)-10*ln(2)*exp(1/2*(10*x-5)/x)-2*x)*exp(exp(1/2*(10*x-5)/x))^2+(-75*exp(1/2*(10*x-5)/x)*ln(1/5*x)^2+(300*ln(2)*exp(1/2*(10*x-5)/x)+30*x)*ln(1/5*x)-300*ln(2)^2*exp(1/2*(10*x-5)/x)-60*x*ln(2))*exp(exp(1/2*(10*x-5)/x)))/(x^2*ln(1/5*x)^3-6*x^2*ln(2)*ln(1/5*x)^2+12*x^2*ln(2)^2*ln(1/5*x)-8*x^2*ln(2)^3),x)","\[\int \frac{\left(5 \,{\mathrm e}^{\frac{10 x -5}{2 x}} \ln \left(\frac{x}{5}\right)-10 \ln \left(2\right) {\mathrm e}^{\frac{10 x -5}{2 x}}-2 x \right) {\mathrm e}^{2 \,{\mathrm e}^{\frac{10 x -5}{2 x}}}+\left(-75 \,{\mathrm e}^{\frac{10 x -5}{2 x}} \ln \left(\frac{x}{5}\right)^{2}+\left(300 \ln \left(2\right) {\mathrm e}^{\frac{10 x -5}{2 x}}+30 x \right) \ln \left(\frac{x}{5}\right)-300 \ln \left(2\right)^{2} {\mathrm e}^{\frac{10 x -5}{2 x}}-60 x \ln \left(2\right)\right) {\mathrm e}^{{\mathrm e}^{\frac{10 x -5}{2 x}}}}{x^{2} \ln \left(\frac{x}{5}\right)^{3}-6 x^{2} \ln \left(2\right) \ln \left(\frac{x}{5}\right)^{2}+12 x^{2} \ln \left(2\right)^{2} \ln \left(\frac{x}{5}\right)-8 x^{2} \ln \left(2\right)^{3}}\, dx\]"," ",0,"int(((5*exp(1/2*(10*x-5)/x)*ln(1/5*x)-10*ln(2)*exp(1/2*(10*x-5)/x)-2*x)*exp(exp(1/2*(10*x-5)/x))^2+(-75*exp(1/2*(10*x-5)/x)*ln(1/5*x)^2+(300*ln(2)*exp(1/2*(10*x-5)/x)+30*x)*ln(1/5*x)-300*ln(2)^2*exp(1/2*(10*x-5)/x)-60*x*ln(2))*exp(exp(1/2*(10*x-5)/x)))/(x^2*ln(1/5*x)^3-6*x^2*ln(2)*ln(1/5*x)^2+12*x^2*ln(2)^2*ln(1/5*x)-8*x^2*ln(2)^3),x)","F"
4182,1,19,14,0.082000," ","int((81*x^5-81*x^4+171*x^2+342*x)*exp(256+x)/(81*x^6+342*x^3+361),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{9 x^{2} {\mathrm e}^{256+x}}{9 x^{3}+19}$&$19$\\ norman&$\frac{9 x^{2} {\mathrm e}^{256+x}}{9 x^{3}+19}$&$19$\\ risch&$\frac{9 x^{2} {\mathrm e}^{256+x}}{9 x^{3}+19}$&$19$\\ derivativedivides&$-\frac{29802774360576 \,{\mathrm e}^{256+x} x}{19 \left(9 \left(256+x \right)^{3}-6912 \left(256+x \right)^{2}+301989907+1769472 x \right)}-\frac{9934258120192 \left(\munderset{\textit{\_R1} =\RootOf \left(9 \textit{\_Z}^{3}-6912 \textit{\_Z}^{2}+1769472 \textit{\_Z} -150994925\right)}{\sum}\frac{\left(\textit{\_R1} -258\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -256-x +\textit{\_R1} \right)}{\textit{\_R1}^{2}-512 \textit{\_R1} +65536}\right)}{171}+\frac{581632495218 \,{\mathrm e}^{256+x} \left(256+x \right) x}{19 \left(9 \left(256+x \right)^{3}-6912 \left(256+x \right)^{2}+301989907+1769472 x \right)}+\frac{64625832802 \left(\munderset{\textit{\_R1} =\RootOf \left(9 \textit{\_Z}^{3}-6912 \textit{\_Z}^{2}+1769472 \textit{\_Z} -150994925\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-257 \textit{\_R1} -256\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -256-x +\textit{\_R1} \right)}{\textit{\_R1}^{2}-512 \textit{\_R1} +65536}\right)}{57}-\frac{1513488365 \,{\mathrm e}^{256+x} \left(4608 \left(256+x \right)^{2}-301989907-1769472 x \right)}{57 \left(9 \left(256+x \right)^{3}-6912 \left(256+x \right)^{2}+301989907+1769472 x \right)}-\frac{1513488365 \left(\munderset{\textit{\_R1} =\RootOf \left(9 \textit{\_Z}^{3}-6912 \textit{\_Z}^{2}+1769472 \textit{\_Z} -150994925\right)}{\sum}\frac{\left(4608 \textit{\_R1}^{2}-1774080 \textit{\_R1} +150994925\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -256-x +\textit{\_R1} \right)}{\textit{\_R1}^{2}-512 \textit{\_R1} +65536}\right)}{1539}+\frac{1969152 \,{\mathrm e}^{256+x} \left(1769472 \left(256+x \right)^{2}-115964131584-754974739 x \right)}{19 \left(9 \left(256+x \right)^{3}-6912 \left(256+x \right)^{2}+301989907+1769472 x \right)}+\frac{656384 \left(\munderset{\textit{\_R1} =\RootOf \left(9 \textit{\_Z}^{3}-6912 \textit{\_Z}^{2}+1769472 \textit{\_Z} -150994925\right)}{\sum}\frac{\left(1769472 \textit{\_R1}^{2}-756744211 \textit{\_R1} +77460396525\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -256-x +\textit{\_R1} \right)}{\textit{\_R1}^{2}-512 \textit{\_R1} +65536}\right)}{171}-\frac{3843 \,{\mathrm e}^{256+x} \left(603979757 \left(256+x \right)^{2}-39582424825856-270582949376 x \right)}{19 \left(9 \left(256+x \right)^{3}-6912 \left(256+x \right)^{2}+301989907+1769472 x \right)}-\frac{427 \left(\munderset{\textit{\_R1} =\RootOf \left(9 \textit{\_Z}^{3}-6912 \textit{\_Z}^{2}+1769472 \textit{\_Z} -150994925\right)}{\sum}\frac{\left(603979757 \textit{\_R1}^{2}-271186929190 \textit{\_R1} +29764119616000\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -256-x +\textit{\_R1} \right)}{\textit{\_R1}^{2}-512 \textit{\_R1} +65536}\right)}{57}+\frac{{\mathrm e}^{256+x} \left(1739461536000 \left(256+x \right)^{2}-113997379912334999-801543976648704 x \right)}{513 \left(256+x \right)^{3}-393984 \left(256+x \right)^{2}+17213424699+100859904 x}+\frac{\left(\munderset{\textit{\_R1} =\RootOf \left(9 \textit{\_Z}^{3}-6912 \textit{\_Z}^{2}+1769472 \textit{\_Z} -150994925\right)}{\sum}\frac{\left(1739461535487 \textit{\_R1}^{2}-803283438578688 \textit{\_R1} +91465059401662825\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -256-x +\textit{\_R1} \right)}{\textit{\_R1}^{2}-512 \textit{\_R1} +65536}\right)}{1539}$&$520$\\ default&$-\frac{29802774360576 \,{\mathrm e}^{256+x} x}{19 \left(9 \left(256+x \right)^{3}-6912 \left(256+x \right)^{2}+301989907+1769472 x \right)}-\frac{9934258120192 \left(\munderset{\textit{\_R1} =\RootOf \left(9 \textit{\_Z}^{3}-6912 \textit{\_Z}^{2}+1769472 \textit{\_Z} -150994925\right)}{\sum}\frac{\left(\textit{\_R1} -258\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -256-x +\textit{\_R1} \right)}{\textit{\_R1}^{2}-512 \textit{\_R1} +65536}\right)}{171}+\frac{581632495218 \,{\mathrm e}^{256+x} \left(256+x \right) x}{19 \left(9 \left(256+x \right)^{3}-6912 \left(256+x \right)^{2}+301989907+1769472 x \right)}+\frac{64625832802 \left(\munderset{\textit{\_R1} =\RootOf \left(9 \textit{\_Z}^{3}-6912 \textit{\_Z}^{2}+1769472 \textit{\_Z} -150994925\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-257 \textit{\_R1} -256\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -256-x +\textit{\_R1} \right)}{\textit{\_R1}^{2}-512 \textit{\_R1} +65536}\right)}{57}-\frac{1513488365 \,{\mathrm e}^{256+x} \left(4608 \left(256+x \right)^{2}-301989907-1769472 x \right)}{57 \left(9 \left(256+x \right)^{3}-6912 \left(256+x \right)^{2}+301989907+1769472 x \right)}-\frac{1513488365 \left(\munderset{\textit{\_R1} =\RootOf \left(9 \textit{\_Z}^{3}-6912 \textit{\_Z}^{2}+1769472 \textit{\_Z} -150994925\right)}{\sum}\frac{\left(4608 \textit{\_R1}^{2}-1774080 \textit{\_R1} +150994925\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -256-x +\textit{\_R1} \right)}{\textit{\_R1}^{2}-512 \textit{\_R1} +65536}\right)}{1539}+\frac{1969152 \,{\mathrm e}^{256+x} \left(1769472 \left(256+x \right)^{2}-115964131584-754974739 x \right)}{19 \left(9 \left(256+x \right)^{3}-6912 \left(256+x \right)^{2}+301989907+1769472 x \right)}+\frac{656384 \left(\munderset{\textit{\_R1} =\RootOf \left(9 \textit{\_Z}^{3}-6912 \textit{\_Z}^{2}+1769472 \textit{\_Z} -150994925\right)}{\sum}\frac{\left(1769472 \textit{\_R1}^{2}-756744211 \textit{\_R1} +77460396525\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -256-x +\textit{\_R1} \right)}{\textit{\_R1}^{2}-512 \textit{\_R1} +65536}\right)}{171}-\frac{3843 \,{\mathrm e}^{256+x} \left(603979757 \left(256+x \right)^{2}-39582424825856-270582949376 x \right)}{19 \left(9 \left(256+x \right)^{3}-6912 \left(256+x \right)^{2}+301989907+1769472 x \right)}-\frac{427 \left(\munderset{\textit{\_R1} =\RootOf \left(9 \textit{\_Z}^{3}-6912 \textit{\_Z}^{2}+1769472 \textit{\_Z} -150994925\right)}{\sum}\frac{\left(603979757 \textit{\_R1}^{2}-271186929190 \textit{\_R1} +29764119616000\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -256-x +\textit{\_R1} \right)}{\textit{\_R1}^{2}-512 \textit{\_R1} +65536}\right)}{57}+\frac{{\mathrm e}^{256+x} \left(1739461536000 \left(256+x \right)^{2}-113997379912334999-801543976648704 x \right)}{513 \left(256+x \right)^{3}-393984 \left(256+x \right)^{2}+17213424699+100859904 x}+\frac{\left(\munderset{\textit{\_R1} =\RootOf \left(9 \textit{\_Z}^{3}-6912 \textit{\_Z}^{2}+1769472 \textit{\_Z} -150994925\right)}{\sum}\frac{\left(1739461535487 \textit{\_R1}^{2}-803283438578688 \textit{\_R1} +91465059401662825\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -256-x +\textit{\_R1} \right)}{\textit{\_R1}^{2}-512 \textit{\_R1} +65536}\right)}{1539}$&$520$\\ \hline \end{longtable}"," ",0,"9*x^2*exp(256+x)/(9*x^3+19)","A"
4183,1,32,30,0.041000," ","int(((18*x-81)*ln(3)+(x^2-10*x)*ln(2)+2*x^2-20*x)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-2-\ln \left(2\right)\right) x^{2}+\left(5 \ln \left(2\right)-9 \ln \left(3\right)+10\right) x +27 \ln \left(3\right)}{x^{3}}$&$32$\\ risch&$\frac{\left(-2-\ln \left(2\right)\right) x^{2}+\left(5 \ln \left(2\right)-9 \ln \left(3\right)+10\right) x +27 \ln \left(3\right)}{x^{3}}$&$32$\\ default&$\frac{27 \ln \left(3\right)}{x^{3}}-\frac{-10 \ln \left(2\right)+18 \ln \left(3\right)-20}{2 x^{2}}-\frac{\ln \left(2\right)+2}{x}$&$33$\\ gosper&$-\frac{x^{2} \ln \left(2\right)-5 x \ln \left(2\right)+9 x \ln \left(3\right)+2 x^{2}-27 \ln \left(3\right)-10 x}{x^{3}}$&$35$\\ \hline \end{longtable}"," ",0,"((-2-ln(2))*x^2+(5*ln(2)-9*ln(3)+10)*x+27*ln(3))/x^3","A"
4184,1,23,25,0.018000," ","int((x^2*ln(x)^2+(2*x^2-3)*ln(x)-8*x^3+2*x^2+3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(x \right)^{2}+2 x -4 x^{2}+\frac{3 \ln \left(x \right)}{x}$&$23$\\ risch&$x \ln \left(x \right)^{2}+2 x -4 x^{2}+\frac{3 \ln \left(x \right)}{x}$&$23$\\ norman&$\frac{x^{2} \ln \left(x \right)^{2}+2 x^{2}-4 x^{3}+3 \ln \left(x \right)}{x}$&$28$\\ \hline \end{longtable}"," ",0,"x*ln(x)^2+2*x-4*x^2+3*ln(x)/x","A"
4185,1,27,25,0.058000," ","int(1/5*(-16*exp(exp(2))^2-5*x^4*exp(5)^2+40*x^4*exp(5)+5*x^5-80*x^4)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{\left(40 \,{\mathrm e}^{5}-5 \,{\mathrm e}^{10}-80\right) \ln \left(x \right)}{5}+\frac{4 \,{\mathrm e}^{2 \,{\mathrm e}^{2}}}{5 x^{4}}$&$27$\\ risch&$x +\frac{4 \,{\mathrm e}^{2 \,{\mathrm e}^{2}}}{5 x^{4}}+8 \,{\mathrm e}^{5} \ln \left(x \right)-\ln \left(x \right) {\mathrm e}^{10}-16 \ln \left(x \right)$&$29$\\ norman&$\frac{x^{5}+\frac{4 \,{\mathrm e}^{2 \,{\mathrm e}^{2}}}{5}}{x^{4}}+\left(8 \,{\mathrm e}^{5}-{\mathrm e}^{10}-16\right) \ln \left(x \right)$&$32$\\ \hline \end{longtable}"," ",0,"x+1/5*(40*exp(5)-5*exp(10)-80)*ln(x)+4/5*exp(2*exp(2))/x^4","A"
4186,1,26,30,0.076000," ","int((4*x^2*ln(5)+32*x^4-80*x^3+160*x^2-40*x+25)/(x^2*ln(5)^2+(-16*x^4+64*x^3-10*x)*ln(5)+64*x^6-512*x^5+1024*x^4+80*x^3-320*x^2+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(4 x -5\right)}{-8 x^{3}+x \ln \left(5\right)+32 x^{2}-5}$&$26$\\ default&$\frac{4 x^{2}-5 x}{-8 x^{3}+x \ln \left(5\right)+32 x^{2}-5}$&$29$\\ norman&$\frac{4 x^{2}-5 x}{-8 x^{3}+x \ln \left(5\right)+32 x^{2}-5}$&$29$\\ risch&$\frac{4 x^{2}-5 x}{-8 x^{3}+x \ln \left(5\right)+32 x^{2}-5}$&$29$\\ \hline \end{longtable}"," ",0,"x*(4*x-5)/(-8*x^3+x*ln(5)+32*x^2-5)","A"
4187,1,17,13,0.016000," ","int(((x^2-36)*ln(x)+x^2-12*x+36)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(x \right)+\frac{36 \ln \left(x \right)}{x}-12 \ln \left(x \right)$&$17$\\ risch&$\frac{\left(x^{2}+36\right) \ln \left(x \right)}{x}-12 \ln \left(x \right)$&$17$\\ norman&$\frac{x^{2} \ln \left(x \right)-12 x \ln \left(x \right)+36 \ln \left(x \right)}{x}$&$21$\\ \hline \end{longtable}"," ",0,"x*ln(x)+36*ln(x)/x-12*ln(x)","A"
4188,1,181,24,0.109000," ","int((((18*x-4)*exp(x)^2+(190*x-40)*exp(x))*exp(9*x)^2+12*x*exp(x)^2+240*exp(x)*x+1200*x)/(x^5*exp(x)^2+20*x^5*exp(x)+100*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{-4 x +1000000000000000000}{x^{4}}+\frac{{\mathrm e}^{18 x}}{x^{4}}-\frac{10 \,{\mathrm e}^{17 x}}{x^{4}}+\frac{100 \,{\mathrm e}^{16 x}}{x^{4}}-\frac{1000 \,{\mathrm e}^{15 x}}{x^{4}}+\frac{10000 \,{\mathrm e}^{14 x}}{x^{4}}-\frac{100000 \,{\mathrm e}^{13 x}}{x^{4}}+\frac{1000000 \,{\mathrm e}^{12 x}}{x^{4}}-\frac{10000000 \,{\mathrm e}^{11 x}}{x^{4}}+\frac{100000000 \,{\mathrm e}^{10 x}}{x^{4}}-\frac{1000000000 \,{\mathrm e}^{9 x}}{x^{4}}+\frac{10000000000 \,{\mathrm e}^{8 x}}{x^{4}}-\frac{100000000000 \,{\mathrm e}^{7 x}}{x^{4}}+\frac{1000000000000 \,{\mathrm e}^{6 x}}{x^{4}}-\frac{10000000000000 \,{\mathrm e}^{5 x}}{x^{4}}+\frac{100000000000000 \,{\mathrm e}^{4 x}}{x^{4}}-\frac{1000000000000000 \,{\mathrm e}^{3 x}}{x^{4}}+\frac{10000000000000000 \,{\mathrm e}^{2 x}}{x^{4}}-\frac{100000000000000000 \,{\mathrm e}^{x}}{x^{4}}-\frac{10000000000000000000}{x^{4} \left({\mathrm e}^{x}+10\right)}$&$181$\\ \hline \end{longtable}"," ",0,"(-4*x+1000000000000000000)/x^4+1/x^4*exp(18*x)-10/x^4*exp(17*x)+100/x^4*exp(16*x)-1000/x^4*exp(15*x)+10000/x^4*exp(14*x)-100000/x^4*exp(13*x)+1000000/x^4*exp(12*x)-10000000/x^4*exp(11*x)+100000000/x^4*exp(10*x)-1000000000/x^4*exp(9*x)+10000000000/x^4*exp(8*x)-100000000000/x^4*exp(7*x)+1000000000000/x^4*exp(6*x)-10000000000000/x^4*exp(5*x)+100000000000000*exp(4*x)/x^4-1000000000000000/x^4*exp(3*x)+10000000000000000*exp(2*x)/x^4-100000000000000000*exp(x)/x^4-10000000000000000000/x^4/(exp(x)+10)","B"
4189,1,24,26,0.101000," ","int(((-324*x-6)*ln(2)-6237*x^2-486*x-9)/(4*ln(2)^2+(308*x+12)*ln(2)+5929*x^2+462*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-81 x^{2}+\frac{6 \ln \left(2\right)}{77}+\frac{9}{77}}{2 \ln \left(2\right)+77 x +3}$&$24$\\ gosper&$\frac{-81 x^{2}+\frac{6 \ln \left(2\right)}{77}+\frac{9}{77}}{2 \ln \left(2\right)+77 x +3}$&$25$\\ default&$-\frac{81 x}{77}-\frac{3 \left(\frac{108 \ln \left(2\right)^{2}}{5929}+\frac{170 \ln \left(2\right)}{5929}+\frac{12}{5929}\right)}{2 \ln \left(2\right)+77 x +3}$&$30$\\ risch&$-\frac{81 x}{77}-\frac{162 \ln \left(2\right)^{2}}{5929 \left(\ln \left(2\right)+\frac{77 x}{2}+\frac{3}{2}\right)}-\frac{255 \ln \left(2\right)}{5929 \left(\ln \left(2\right)+\frac{77 x}{2}+\frac{3}{2}\right)}-\frac{18}{5929 \left(\ln \left(2\right)+\frac{77 x}{2}+\frac{3}{2}\right)}$&$44$\\ meijerg&$-\frac{9 x}{77 \left(\frac{2 \ln \left(2\right)}{77}+\frac{3}{77}\right) \left(1+\frac{77 x}{2 \ln \left(2\right)+3}\right) \left(2 \ln \left(2\right)+3\right)}-\frac{81 \left(2 \ln \left(2\right)+3\right)^{2} \left(\frac{77 x \left(\frac{231 x}{2 \ln \left(2\right)+3}+6\right)}{3 \left(2 \ln \left(2\right)+3\right) \left(1+\frac{77 x}{2 \ln \left(2\right)+3}\right)}-2 \ln \left(1+\frac{77 x}{2 \ln \left(2\right)+3}\right)\right)}{456533 \left(\frac{2 \ln \left(2\right)}{77}+\frac{3}{77}\right)}+\frac{\left(-324 \ln \left(2\right)-486\right) \left(-\frac{77 x}{\left(1+\frac{77 x}{2 \ln \left(2\right)+3}\right) \left(2 \ln \left(2\right)+3\right)}+\ln \left(1+\frac{77 x}{2 \ln \left(2\right)+3}\right)\right)}{5929}-\frac{6 \ln \left(2\right) x}{77 \left(\frac{2 \ln \left(2\right)}{77}+\frac{3}{77}\right) \left(1+\frac{77 x}{2 \ln \left(2\right)+3}\right) \left(2 \ln \left(2\right)+3\right)}$&$195$\\ \hline \end{longtable}"," ",0,"(-81*x^2+6/77*ln(2)+9/77)/(2*ln(2)+77*x+3)","A"
4190,1,34,27,0.067000," ","int((-4*ln(3)+448*x^6+768*x^5+480*x^4+128*x^3+12*x^2)/exp(x*ln(3)-16*x^7-32*x^6-24*x^5-8*x^4-x^3+4/5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,3^{-x} {\mathrm e}^{-\frac{4}{5}+16 x^{7}+32 x^{6}+24 x^{5}+8 x^{4}+x^{3}}$&$34$\\ gosper&$4 \,{\mathrm e}^{-x \ln \left(3\right)+16 x^{7}+32 x^{6}+24 x^{5}+8 x^{4}+x^{3}-\frac{4}{5}}$&$37$\\ norman&$4 \,{\mathrm e}^{-x \ln \left(3\right)+16 x^{7}+32 x^{6}+24 x^{5}+8 x^{4}+x^{3}-\frac{4}{5}}$&$37$\\ \hline \end{longtable}"," ",0,"4/(3^x)*exp(-4/5+16*x^7+32*x^6+24*x^5+8*x^4+x^3)","A"
4191,1,58,34,0.102000," ","int((((x^6+2*x^5+10*x^4+30*x^3+25*x^2+50*x)*exp(5/(x^2+5))-4*x^6-8*x^5-40*x^4-80*x^3-100*x^2-200*x)*exp(x)+(-2*x^5-20*x^3-50*x)*exp(5/(x^2+5))^2+(-3*x^6+6*x^5-40*x^4+10*x^3-75*x^2+150*x)*exp(5/(x^2+5))+12*x^6+8*x^5+120*x^4+80*x^3+300*x^2+200*x)/(((x^6+10*x^4+25*x^2)*exp(5/(x^2+5))-4*x^6-40*x^4-100*x^2)*exp(x)+(-x^6-8*x^4-5*x^2+50)*exp(5/(x^2+5))^2+(-x^7+3*x^6-10*x^5+14*x^4-25*x^3-85*x^2-400)*exp(5/(x^2+5))+4*x^7+4*x^6+40*x^5+72*x^4+100*x^3+420*x^2+800),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x^{2}-2\right)+\ln \left({\mathrm e}^{\frac{5}{x^{2}+5}}+\frac{x^{3}-{\mathrm e}^{x} x^{2}+x^{2}+8}{x^{2}-2}\right)-\ln \left({\mathrm e}^{\frac{5}{x^{2}+5}}-4\right)$&$58$\\ \hline \end{longtable}"," ",0,"ln(x^2-2)+ln(exp(5/(x^2+5))+(x^3-exp(x)*x^2+x^2+8)/(x^2-2))-ln(exp(5/(x^2+5))-4)","A"
4192,1,560,37,0.524000," ","int(((4*(2*x^4-24*x^3+72*x^2)*ln(2)^2+2*x^5-24*x^4+72*x^3)*ln(2/exp(5/(x^2-6*x)))^2+((16*(-2*x^4+24*x^3-72*x^2)*ln(2)^4+4*(-4*x^5+44*x^4-96*x^3-144*x^2)*ln(2)^2-2*x^6+20*x^5-24*x^4-144*x^3)*exp(x)+16*(-2*x^4+24*x^3-72*x^2+20*x-60)*ln(2)^4+4*(-8*x^5+96*x^4-288*x^3+40*x^2-120*x)*ln(2)^2-6*x^6+72*x^5-216*x^4+20*x^3-60*x^2)*ln(2/exp(5/(x^2-6*x)))+(16*(2*x^4-24*x^3+72*x^2)*ln(2)^4+4*(4*x^5-46*x^4+120*x^3+72*x^2)*ln(2)^2+2*x^6-22*x^5+48*x^4+72*x^3)*exp(x)^2+(16*(2*x^5-22*x^4+48*x^3+72*x^2-20*x+60)*ln(2)^4+4*(4*x^6-40*x^5+48*x^4+288*x^3-40*x^2+120*x)*ln(2)^2+2*x^7-18*x^6+216*x^4-20*x^3+60*x^2)*exp(x)+16*(2*x^5-24*x^4+72*x^3-20*x^2+60*x)*ln(2)^4+4*(6*x^6-72*x^5+216*x^4-40*x^3+120*x^2)*ln(2)^2+4*x^7-48*x^6+144*x^5-20*x^4+60*x^3)/(x^4-12*x^3+36*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$8 x \ln \left(2\right)^{2} {\mathrm e}^{2 x}+16 x^{2} \ln \left(2\right)^{4}+x^{4}+10 \,{\mathrm e}^{x}+8 x^{3} \ln \left(2\right)^{2}+{\mathrm e}^{2 x} x^{2}+2 \,{\mathrm e}^{x} x^{3}-16 \,{\mathrm e}^{x} \ln \left(2\right)^{2} x \left(\ln \left(2 \,{\mathrm e}^{-\frac{5}{x^{2}-6 x}}\right)+\ln \left({\mathrm e}^{\frac{5}{x^{2}-6 x}}\right)\right)+16 \,{\mathrm e}^{x} \ln \left(2\right)^{2} x \left(\ln \left({\mathrm e}^{\frac{5}{x^{2}-6 x}}\right)-\frac{5}{x^{2}-6 x}\right)-\frac{100 \ln \left(2\right)^{4}}{27 x}+\frac{100 \ln \left(2\right)^{4}}{27 \left(x -6\right)}+\frac{60 \,{\mathrm e}^{x}}{x -6}-\frac{100 \ln \left(2\right)^{4}}{9 x^{2}}-\frac{100 \ln \left(2\right)^{4}}{9 \left(x -6\right)^{2}}+32 \,{\mathrm e}^{x} \ln \left(2\right)^{4} x +16 \,{\mathrm e}^{x} \ln \left(2\right)^{2} x^{2}-2 \,{\mathrm e}^{x} \left(\ln \left(2 \,{\mathrm e}^{-\frac{5}{x^{2}-6 x}}\right)+\ln \left({\mathrm e}^{\frac{5}{x^{2}-6 x}}\right)\right) x^{2}+2 \,{\mathrm e}^{x} \left(\ln \left({\mathrm e}^{\frac{5}{x^{2}-6 x}}\right)-\frac{5}{x^{2}-6 x}\right) x^{2}+\frac{80 \ln \left(2\right)^{2} {\mathrm e}^{x}}{x -6}+\frac{80 \ln \left(2\right)^{4} {\mathrm e}^{x}}{3 \left(x -6\right)}+32 \,{\mathrm e}^{x} \ln \left(2\right)^{4} \left(\ln \left({\mathrm e}^{\frac{5}{x^{2}-6 x}}\right)-\frac{5}{x^{2}-6 x}\right)-\frac{80 \ln \left(2\right)^{4} {\mathrm e}^{x}}{3 x}-32 \,{\mathrm e}^{x} \ln \left(2\right)^{4} \left(\ln \left(2 \,{\mathrm e}^{-\frac{5}{x^{2}-6 x}}\right)+\ln \left({\mathrm e}^{\frac{5}{x^{2}-6 x}}\right)\right)+8 \ln \left(2 \,{\mathrm e}^{-\frac{5}{x^{2}-6 x}}\right)^{2} \ln \left(2\right)^{2} x -16 \ln \left(2 \,{\mathrm e}^{-\frac{5}{x^{2}-6 x}}\right) \ln \left(2\right)^{2} x^{2}-32 \ln \left(2 \,{\mathrm e}^{-\frac{5}{x^{2}-6 x}}\right) x \ln \left(2\right)^{4}-\frac{80 \ln \left(2 \,{\mathrm e}^{-\frac{5}{x^{2}-6 x}}\right) \ln \left(2\right)^{4}}{3 \left(x -6\right)}+\frac{80 \ln \left(2 \,{\mathrm e}^{-\frac{5}{x^{2}-6 x}}\right) \ln \left(2\right)^{4}}{3 x}+16 \,{\mathrm e}^{2 x} \ln \left(2\right)^{4}-2 \ln \left(2 \,{\mathrm e}^{-\frac{5}{x^{2}-6 x}}\right) x^{3}+\ln \left(2 \,{\mathrm e}^{-\frac{5}{x^{2}-6 x}}\right)^{2} x^{2}$&$560$\\ risch&$\left(8 x \ln \left(2\right)^{2}+x^{2}\right) \ln \left({\mathrm e}^{\frac{5}{x \left(x -6\right)}}\right)^{2}+\frac{\left(-192 x^{2} \ln \left(2\right)^{4}+32 x^{3} \ln \left(2\right)^{4}-16 x^{3} \ln \left(2\right)^{3}+160 \ln \left(2\right)^{4}+2 x^{5}-12 x^{4}+96 x^{2} \ln \left(2\right)^{3}+16 x^{4} \ln \left(2\right)^{2}-96 x^{3} \ln \left(2\right)^{2}-2 x^{4} \ln \left(2\right)+2 \,{\mathrm e}^{x} x^{4}+12 x^{3} \ln \left(2\right)-12 \,{\mathrm e}^{x} x^{3}+32 \,{\mathrm e}^{x} \ln \left(2\right)^{4} x^{2}-192 \,{\mathrm e}^{x} \ln \left(2\right)^{4} x +16 \,{\mathrm e}^{x} \ln \left(2\right)^{2} x^{3}-96 \,{\mathrm e}^{x} \ln \left(2\right)^{2} x^{2}\right) \ln \left({\mathrm e}^{\frac{5}{x \left(x -6\right)}}\right)}{x \left(x -6\right)}+\frac{1152 x^{3} \ln \left(2\right)^{4}+64 x^{6} \ln \left(2\right)^{4}-736 x^{5} \ln \left(2\right)^{4}+768 x^{5} \ln \left(2\right)^{3}-64 x^{6} \ln \left(2\right)^{3}-380 x^{6} \ln \left(2\right)^{2}+8 x^{7} {\mathrm e}^{x}+288 x^{5} {\mathrm e}^{x}-1600 \ln \left(2\right)^{4}-48 x^{7}+4 x^{8}+144 x^{6}-2304 x^{4} \ln \left(2\right)^{3}-4608 x^{3} \ln \left(2\right)^{5}+1104 x^{5} \ln \left(2\right)^{2}+32 x^{7} \ln \left(2\right)^{2}-8 x^{7} \ln \left(2\right)+144 x^{4} \ln \left(2\right)^{2}-48 x^{5} {\mathrm e}^{2 x}-96 x^{6} {\mathrm e}^{x}-288 x^{5} \ln \left(2\right)+96 x^{6} \ln \left(2\right)+3840 x \ln \left(2\right)^{5}+1920 \ln \left(2\right)^{4} x^{4}+128 \,{\mathrm e}^{x} \ln \left(2\right)^{4} x^{5}-1536 \,{\mathrm e}^{x} \ln \left(2\right)^{4} x^{4}+64 \,{\mathrm e}^{x} \ln \left(2\right)^{2} x^{6}+4608 \,{\mathrm e}^{x} \ln \left(2\right)^{4} x^{3}-768 \,{\mathrm e}^{x} \ln \left(2\right)^{2} x^{5}+2304 \,{\mathrm e}^{x} \ln \left(2\right)^{2} x^{4}+64 \,{\mathrm e}^{2 x} \ln \left(2\right)^{4} x^{4}+32 \,{\mathrm e}^{2 x} \ln \left(2\right)^{2} x^{5}-384 \,{\mathrm e}^{2 x} \ln \left(2\right)^{2} x^{4}-768 \,{\mathrm e}^{2 x} \ln \left(2\right)^{4} x^{3}+2304 \,{\mathrm e}^{2 x} \ln \left(2\right)^{4} x^{2}+1152 \,{\mathrm e}^{2 x} \ln \left(2\right)^{2} x^{3}+1536 \ln \left(2\right)^{5} x^{4}-640 \ln \left(2\right)^{5} x^{2}-128 \ln \left(2\right)^{5} x^{5}-128 \ln \left(2\right)^{5} x^{4} {\mathrm e}^{x}+1536 \ln \left(2\right)^{5} x^{3} {\mathrm e}^{x}-64 \ln \left(2\right)^{3} x^{5} {\mathrm e}^{x}-4608 \ln \left(2\right)^{5} x^{2} {\mathrm e}^{x}+768 \ln \left(2\right)^{3} x^{4} {\mathrm e}^{x}-8 \ln \left(2\right) x^{6} {\mathrm e}^{x}-2304 \ln \left(2\right)^{3} x^{3} {\mathrm e}^{x}+96 \ln \left(2\right) x^{5} {\mathrm e}^{x}-288 \ln \left(2\right) x^{4} {\mathrm e}^{x}+4 x^{6} {\mathrm e}^{2 x}+144 \,{\mathrm e}^{2 x} x^{4}}{4 x^{2} \left(x^{2}-12 x +36\right)}$&$675$\\ \hline \end{longtable}"," ",0,"8*x*ln(2)^2*exp(x)^2+16*x^2*ln(2)^4+x^4+10*exp(x)+8*x^3*ln(2)^2+exp(x)^2*x^2+2*exp(x)*x^3-16*exp(x)*ln(2)^2*x*(ln(2/exp(5/(x^2-6*x)))+ln(exp(5/(x^2-6*x))))+16*exp(x)*ln(2)^2*x*(ln(exp(5/(x^2-6*x)))-5/(x^2-6*x))-100/27*ln(2)^4/x+100/27/(x-6)*ln(2)^4+16*exp(x)^2*ln(2)^4+60*exp(x)/(x-6)-100/9*ln(2)^4/x^2-2*ln(2/exp(5/(x^2-6*x)))*x^3-100/9*ln(2)^4/(x-6)^2+32*exp(x)*ln(2)^4*x+16*exp(x)*ln(2)^2*x^2+ln(2/exp(5/(x^2-6*x)))^2*x^2-2*exp(x)*(ln(2/exp(5/(x^2-6*x)))+ln(exp(5/(x^2-6*x))))*x^2+2*exp(x)*(ln(exp(5/(x^2-6*x)))-5/(x^2-6*x))*x^2+80*ln(2)^2*exp(x)/(x-6)+80/3*ln(2)^4*exp(x)/(x-6)-32*exp(x)*ln(2)^4*(ln(2/exp(5/(x^2-6*x)))+ln(exp(5/(x^2-6*x))))+32*exp(x)*ln(2)^4*(ln(exp(5/(x^2-6*x)))-5/(x^2-6*x))-80/3*ln(2)^4/x*exp(x)+8*ln(2/exp(5/(x^2-6*x)))^2*ln(2)^2*x-16*ln(2/exp(5/(x^2-6*x)))*ln(2)^2*x^2-32*ln(2/exp(5/(x^2-6*x)))*x*ln(2)^4-80/3*ln(2/exp(5/(x^2-6*x)))/(x-6)*ln(2)^4+80/3*ln(2/exp(5/(x^2-6*x)))*ln(2)^4/x","B"
4193,1,9,13,0.014000," ","int((-3*x^3+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{3}+\ln \left(x \right)$&$9$\\ norman&$-x^{3}+\ln \left(x \right)$&$9$\\ risch&$-x^{3}+\ln \left(x \right)$&$9$\\ \hline \end{longtable}"," ",0,"-x^3+ln(x)","A"
4194,1,155,25,0.124000," ","int(1/16*(16*((2*x^2-2)*exp(2)^4*exp(4)^4+(8*x^3-4*x)*exp(2)^4*exp(4)^3+12*x^4*exp(2)^4*exp(4)^2+(8*x^5+4*x^3)*exp(2)^4*exp(4)+(2*x^6+2*x^4)*exp(2)^4)*ln(2)^4+8*((8*x^3-4*x)*exp(2)^4*exp(4)^3+24*x^4*exp(2)^4*exp(4)^2+(24*x^5+12*x^3)*exp(2)^4*exp(4)+(8*x^6+8*x^4)*exp(2)^4)*ln(2)^3+4*(12*x^4*exp(2)^4*exp(4)^2+(24*x^5+12*x^3)*exp(2)^4*exp(4)+(12*x^6+12*x^4)*exp(2)^4)*ln(2)^2+2*((8*x^5+4*x^3)*exp(2)^4*exp(4)+(8*x^6+8*x^4)*exp(2)^4)*ln(2)+(2*x^6+2*x^4)*exp(2)^4)*exp(x^2)/x^3/ln(2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(16 \ln \left(2\right)^{4} {\mathrm e}^{16}+64 \,{\mathrm e}^{12} \ln \left(2\right)^{4} x +32 \,{\mathrm e}^{12} \ln \left(2\right)^{3} x +96 \,{\mathrm e}^{8} \ln \left(2\right)^{4} x^{2}+96 \,{\mathrm e}^{8} \ln \left(2\right)^{3} x^{2}+64 \,{\mathrm e}^{4} \ln \left(2\right)^{4} x^{3}+24 \,{\mathrm e}^{8} \ln \left(2\right)^{2} x^{2}+96 \,{\mathrm e}^{4} \ln \left(2\right)^{3} x^{3}+16 \ln \left(2\right)^{4} x^{4}+48 \,{\mathrm e}^{4} \ln \left(2\right)^{2} x^{3}+32 x^{4} \ln \left(2\right)^{3}+8 x^{3} {\mathrm e}^{4} \ln \left(2\right)+24 x^{4} \ln \left(2\right)^{2}+8 x^{4} \ln \left(2\right)+x^{4}\right) {\mathrm e}^{x^{2}+8}}{16 x^{2} \ln \left(2\right)^{4}}$&$155$\\ norman&$\frac{{\mathrm e}^{8} {\mathrm e}^{16} \ln \left(2\right)^{3} {\mathrm e}^{x^{2}}+\frac{{\mathrm e}^{8} {\mathrm e}^{4} \left(8 \ln \left(2\right)^{3}+12 \ln \left(2\right)^{2}+6 \ln \left(2\right)+1\right) x^{3} {\mathrm e}^{x^{2}}}{2}+\frac{{\mathrm e}^{8} \left(16 \ln \left(2\right)^{4}+32 \ln \left(2\right)^{3}+24 \ln \left(2\right)^{2}+8 \ln \left(2\right)+1\right) x^{4} {\mathrm e}^{x^{2}}}{16 \ln \left(2\right)}+2 \,{\mathrm e}^{8} {\mathrm e}^{12} \ln \left(2\right)^{2} \left(1+2 \ln \left(2\right)\right) x \,{\mathrm e}^{x^{2}}+\frac{3 \ln \left(2\right) \left({\mathrm e}^{8}\right)^{2} \left(4 \ln \left(2\right)^{2}+4 \ln \left(2\right)+1\right) x^{2} {\mathrm e}^{x^{2}}}{2}}{x^{2} \ln \left(2\right)^{3}}$&$157$\\ gosper&$\frac{{\mathrm e}^{8} \left(16 \ln \left(2\right)^{4} {\mathrm e}^{16}+64 \,{\mathrm e}^{12} \ln \left(2\right)^{4} x +32 \,{\mathrm e}^{12} \ln \left(2\right)^{3} x +96 \,{\mathrm e}^{8} \ln \left(2\right)^{4} x^{2}+96 \,{\mathrm e}^{8} \ln \left(2\right)^{3} x^{2}+64 \,{\mathrm e}^{4} \ln \left(2\right)^{4} x^{3}+24 \,{\mathrm e}^{8} \ln \left(2\right)^{2} x^{2}+96 \,{\mathrm e}^{4} \ln \left(2\right)^{3} x^{3}+16 \ln \left(2\right)^{4} x^{4}+48 \,{\mathrm e}^{4} \ln \left(2\right)^{2} x^{3}+32 x^{4} \ln \left(2\right)^{3}+8 x^{3} {\mathrm e}^{4} \ln \left(2\right)+24 x^{4} \ln \left(2\right)^{2}+8 x^{4} \ln \left(2\right)+x^{4}\right) {\mathrm e}^{x^{2}}}{16 \ln \left(2\right)^{4} x^{2}}$&$169$\\ default&$\frac{{\mathrm e}^{8} {\mathrm e}^{x^{2}}+2 \,{\mathrm e}^{8} \left(\frac{x^{2} {\mathrm e}^{x^{2}}}{2}-\frac{{\mathrm e}^{x^{2}}}{2}\right)+8 \ln \left(2\right) {\mathrm e}^{8} {\mathrm e}^{x^{2}} x^{2}+24 \ln \left(2\right)^{2} {\mathrm e}^{8} {\mathrm e}^{x^{2}} x^{2}+32 \ln \left(2\right)^{3} {\mathrm e}^{8} {\mathrm e}^{x^{2}} x^{2}+16 \ln \left(2\right)^{4} {\mathrm e}^{8} {\mathrm e}^{x^{2}} x^{2}+\frac{16 \ln \left(2\right)^{4} {\mathrm e}^{8} {\mathrm e}^{16} {\mathrm e}^{x^{2}}}{x^{2}}+\frac{32 \ln \left(2\right)^{3} {\mathrm e}^{8} {\mathrm e}^{12} {\mathrm e}^{x^{2}}}{x}+\frac{64 \ln \left(2\right)^{4} {\mathrm e}^{8} {\mathrm e}^{12} {\mathrm e}^{x^{2}}}{x}+24 \ln \left(2\right)^{2} \left({\mathrm e}^{8}\right)^{2} {\mathrm e}^{x^{2}}+96 \ln \left(2\right)^{3} \left({\mathrm e}^{8}\right)^{2} {\mathrm e}^{x^{2}}+96 \ln \left(2\right)^{4} \left({\mathrm e}^{8}\right)^{2} {\mathrm e}^{x^{2}}+8 \ln \left(2\right) {\mathrm e}^{8} {\mathrm e}^{4} {\mathrm e}^{x^{2}} x +48 \ln \left(2\right)^{2} {\mathrm e}^{8} {\mathrm e}^{4} {\mathrm e}^{x^{2}} x +96 \ln \left(2\right)^{3} {\mathrm e}^{8} {\mathrm e}^{4} {\mathrm e}^{x^{2}} x +64 \ln \left(2\right)^{4} {\mathrm e}^{8} {\mathrm e}^{4} {\mathrm e}^{x^{2}} x}{16 \ln \left(2\right)^{4}}$&$288$\\ meijerg&${\mathrm e}^{24} \left(\frac{1}{x^{2}}+1-2 \ln \left(x \right)-i \pi -\frac{2 x^{2}+2}{2 x^{2}}+\frac{{\mathrm e}^{x^{2}}}{x^{2}}+\ln \left(-x^{2}\right)+\expIntegralEi \left(1, -x^{2}\right)\right)+\frac{\left(128 \ln \left(2\right)^{4} {\mathrm e}^{20}+64 \ln \left(2\right)^{3} {\mathrm e}^{20}+64 \ln \left(2\right)^{4} {\mathrm e}^{12}+96 \ln \left(2\right)^{3} {\mathrm e}^{12}+48 \ln \left(2\right)^{2} {\mathrm e}^{12}+8 \,{\mathrm e}^{12} \ln \left(2\right)\right) \sqrt{\pi}\, \erfi \left(x \right)}{32 \ln \left(2\right)^{4}}+\frac{i \left(-64 \ln \left(2\right)^{4} {\mathrm e}^{20}-32 \ln \left(2\right)^{3} {\mathrm e}^{20}\right) \left(\frac{2 i {\mathrm e}^{x^{2}}}{x}-2 i \sqrt{\pi}\, \erfi \left(x \right)\right)}{32 \ln \left(2\right)^{4}}+\frac{\left(32 \ln \left(2\right)^{4} {\mathrm e}^{8}+64 \ln \left(2\right)^{3} {\mathrm e}^{8}+48 \ln \left(2\right)^{2} {\mathrm e}^{8}+16 \ln \left(2\right) {\mathrm e}^{8}+2 \,{\mathrm e}^{8}\right) \left(1-\frac{\left(-2 x^{2}+2\right) {\mathrm e}^{x^{2}}}{2}\right)}{32 \ln \left(2\right)^{4}}-\frac{\left(192 \ln \left(2\right)^{4} {\mathrm e}^{16}+192 \ln \left(2\right)^{3} {\mathrm e}^{16}+48 \,{\mathrm e}^{16} \ln \left(2\right)^{2}+32 \ln \left(2\right)^{4} {\mathrm e}^{8}+64 \ln \left(2\right)^{3} {\mathrm e}^{8}+48 \ln \left(2\right)^{2} {\mathrm e}^{8}+16 \ln \left(2\right) {\mathrm e}^{8}+2 \,{\mathrm e}^{8}\right) \left(1-{\mathrm e}^{x^{2}}\right)}{32 \ln \left(2\right)^{4}}+{\mathrm e}^{24} \left(2 \ln \left(x \right)+i \pi -\ln \left(-x^{2}\right)-\expIntegralEi \left(1, -x^{2}\right)\right)+\frac{i \left(128 \ln \left(2\right)^{4} {\mathrm e}^{12}+192 \ln \left(2\right)^{3} {\mathrm e}^{12}+96 \ln \left(2\right)^{2} {\mathrm e}^{12}+16 \,{\mathrm e}^{12} \ln \left(2\right)\right) \left(-i x \,{\mathrm e}^{x^{2}}+\frac{i \sqrt{\pi}\, \erfi \left(x \right)}{2}\right)}{32 \ln \left(2\right)^{4}}$&$365$\\ \hline \end{longtable}"," ",0,"1/16/x^2*(16*ln(2)^4*exp(16)+64*exp(12)*ln(2)^4*x+32*exp(12)*ln(2)^3*x+96*exp(8)*ln(2)^4*x^2+96*exp(8)*ln(2)^3*x^2+64*exp(4)*ln(2)^4*x^3+24*exp(8)*ln(2)^2*x^2+96*exp(4)*ln(2)^3*x^3+16*ln(2)^4*x^4+48*exp(4)*ln(2)^2*x^3+32*x^4*ln(2)^3+8*x^3*exp(4)*ln(2)+24*x^4*ln(2)^2+8*x^4*ln(2)+x^4)/ln(2)^4*exp(x^2+8)","B"
4195,1,22,21,0.067000," ","int(10*x*exp(5*x^2-3)+2*exp(x^2)*x+(-x-2)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{2}}+{\mathrm e}^{5 x^{2}-3}+\left(-x -1\right) {\mathrm e}^{x}$&$22$\\ default&$-{\mathrm e}^{x} x -{\mathrm e}^{x}+{\mathrm e}^{5 x^{2}-3}+{\mathrm e}^{x^{2}}$&$23$\\ norman&${\mathrm e}^{-3} {\mathrm e}^{5 x^{2}}-{\mathrm e}^{x} x -{\mathrm e}^{x}+{\mathrm e}^{x^{2}}$&$26$\\ meijerg&$-{\mathrm e}^{-3} \left(1-{\mathrm e}^{5 x^{2}}\right)+{\mathrm e}^{x^{2}}+\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}-2 \,{\mathrm e}^{x}$&$33$\\ \hline \end{longtable}"," ",0,"exp(x^2)+exp(5*x^2-3)+(-x-1)*exp(x)","A"
4196,1,20,17,0.214000," ","int((375*x^4-75*ln(2)+150*x)*exp(-75/(x^5-x*ln(2)+x^2))/(x^10+(-2*x^2*ln(2)+2*x^3)*x^4+x^2*ln(2)^2-2*x^3*ln(2)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{75}{x \left(-x^{4}+\ln \left(2\right)-x \right)}}$&$20$\\ risch&${\mathrm e}^{\frac{75}{x \left(-x^{4}+\ln \left(2\right)-x \right)}}$&$20$\\ norman&$\frac{x \ln \left(2\right) {\mathrm e}^{-\frac{75}{x^{5}-x \ln \left(2\right)+x^{2}}}-x^{2} {\mathrm e}^{-\frac{75}{x^{5}-x \ln \left(2\right)+x^{2}}}-x^{5} {\mathrm e}^{-\frac{75}{x^{5}-x \ln \left(2\right)+x^{2}}}}{x \left(-x^{4}+\ln \left(2\right)-x \right)}$&$84$\\ \hline \end{longtable}"," ",0,"exp(75/x/(-x^4+ln(2)-x))","A"
4197,1,13,15,0.023000," ","int((-2*x^3+11*x^2+14*x)*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{2 x} \left(x -7\right) x^{2}$&$13$\\ risch&$\left(-x^{3}+7 x^{2}\right) {\mathrm e}^{2 x}$&$17$\\ default&$7 \,{\mathrm e}^{2 x} x^{2}-{\mathrm e}^{2 x} x^{3}$&$20$\\ norman&$7 \,{\mathrm e}^{2 x} x^{2}-{\mathrm e}^{2 x} x^{3}$&$20$\\ meijerg&$\frac{\left(-32 x^{3}+48 x^{2}-48 x +24\right) {\mathrm e}^{2 x}}{32}+\frac{11 \left(12 x^{2}-12 x +6\right) {\mathrm e}^{2 x}}{24}-\frac{7 \left(-4 x +2\right) {\mathrm e}^{2 x}}{4}$&$50$\\ \hline \end{longtable}"," ",0,"-exp(x)^2*(x-7)*x^2","A"
4198,1,31,31,0.218000," ","int(((-x^3-3*x^2-x)*ln(2)+(-x^3-3*x^2-x)*exp(1)+x^3+8*x^2+21*x+10)*exp(ln((-x*ln(2)-x*exp(1)+5+x)/(x^3+x^2))-x+exp(3))/((x^3+x^2)*ln(2)+(x^3+x^2)*exp(1)-x^3-6*x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-x \ln \left(2\right)-x \,{\mathrm e}+5+x \right) {\mathrm e}^{-x +{\mathrm e}^{3}}}{x^{3}+x^{2}}$&$31$\\ gosper&${\mathrm e}^{\ln \left(-\frac{x \,{\mathrm e}+x \ln \left(2\right)-x -5}{\left(x +1\right) x^{2}}\right)-x +{\mathrm e}^{3}}$&$32$\\ norman&${\mathrm e}^{\ln \left(\frac{-x \ln \left(2\right)-x \,{\mathrm e}+5+x}{x^{3}+x^{2}}\right)-x +{\mathrm e}^{3}}$&$32$\\ default&\verb|error in convert/parfrac: cannot convert to partial fraction form\|& N/A\\ \hline \end{longtable}"," ",0,"(-x*ln(2)-x*exp(1)+5+x)/(x^3+x^2)*exp(-x+exp(3))","A"
4199,1,29,26,0.164000," ","int((x^2*exp(x)*exp((2*x^2+10)/x)^2+((2*x^3-4*x)*exp(x)+2*x^3-x^2-10*x)*exp((2*x^2+10)/x)+(x^4-4*x^2+4)*exp(x)+4*x)/(x^2*exp((2*x^2+10)/x)^2+(2*x^3-4*x)*exp((2*x^2+10)/x)+x^4-4*x^2+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x}-\frac{x^{2}}{x^{2}+x \,{\mathrm e}^{\frac{2 x^{2}+10}{x}}-2}$&$29$\\ norman&$\frac{{\mathrm e}^{x} x^{2}+x \,{\mathrm e}^{\frac{2 x^{2}+10}{x}}+{\mathrm e}^{x} x \,{\mathrm e}^{\frac{2 x^{2}+10}{x}}-2 \,{\mathrm e}^{x}-2}{x^{2}+x \,{\mathrm e}^{\frac{2 x^{2}+10}{x}}-2}$&$65$\\ \hline \end{longtable}"," ",0,"exp(x)-x^2/(exp(2*(x^2+5)/x)*x+x^2-2)","A"
4200,1,56,40,0.116000," ","int(1/2*(2*ln(x^3)^2-16*ln(x^3)+exp(x)^2*x^2-x^2*ln(2)*exp(x)-2*x^2-12*x+2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{2 x}}{4}+\frac{8 \ln \left(x^{3}\right)}{x}+\frac{23}{x}+\frac{-36-2 \ln \left(x^{3}\right)^{2}-12 \ln \left(x^{3}\right)}{2 x}-x -6 \ln \left(x \right)-\frac{{\mathrm e}^{x} \ln \left(2\right)}{2}$&$56$\\ risch&$-\frac{9 \ln \left(x \right)^{2}}{x}+\frac{3 i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{3}\right)^{3}-2 i\right) \ln \left(x \right)}{x}-\frac{-20+4 x^{2}-x \,{\mathrm e}^{2 x}+24 x \ln \left(x \right)-2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{4}-2 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{3}\right)+2 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}-3 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{3}\right)^{2}+4 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x^{3}\right)-2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x^{3}\right)^{2}+6 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{3}\right)^{3}-4 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-4 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+4 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-8 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+2 x \ln \left(2\right) {\mathrm e}^{x}-6 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}+4 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)^{3}-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x^{3}\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x^{3}\right)^{3}-\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{3}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{5}-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{3}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{5}-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}-\pi^{2} \mathrm{csgn}\left(i x^{3}\right)^{6}+4 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{5} \mathrm{csgn}\left(i x \right)+4 i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+4 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)}{4 x}$&$750$\\ \hline \end{longtable}"," ",0,"1/4*exp(x)^2+8*ln(x^3)/x+23/x+1/2*(-36-2*ln(x^3)^2-12*ln(x^3))/x-x-6*ln(x)-1/2*exp(x)*ln(2)","A"
4201,1,88,23,0.119000," ","int(((2*x^4+4*x^3)*exp(x)^2+((2*x^4+8*x^3)*exp(3)+2*x^5+10*x^4)*exp(x)+4*x^3*exp(3)^2+10*x^4*exp(3)+6*x^5)/exp(5/3*3^(1/2)*2^(1/2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4} {\mathrm e}^{-\frac{10 \sqrt{3}\, \sqrt{2}}{3}+6}+2 x^{5} {\mathrm e}^{-\frac{10 \sqrt{3}\, \sqrt{2}}{3}+3}+{\mathrm e}^{-\frac{10 \sqrt{3}\, \sqrt{2}}{3}} x^{6}+x^{4} {\mathrm e}^{-\frac{10 \sqrt{3}\, \sqrt{2}}{3}+2 x}+\left(2 x^{4} {\mathrm e}^{3}+2 x^{5}\right) {\mathrm e}^{-\frac{10 \sqrt{3}\, \sqrt{2}}{3}+x}$&$88$\\ default&${\mathrm e}^{-\frac{10 \sqrt{6}}{3}} \left(2 x^{5} {\mathrm e}^{x}+8 \,{\mathrm e}^{3} \left({\mathrm e}^{x} x^{3}-3 \,{\mathrm e}^{x} x^{2}+6 \,{\mathrm e}^{x} x -6 \,{\mathrm e}^{x}\right)+2 \,{\mathrm e}^{3} \left({\mathrm e}^{x} x^{4}-4 \,{\mathrm e}^{x} x^{3}+12 \,{\mathrm e}^{x} x^{2}-24 \,{\mathrm e}^{x} x +24 \,{\mathrm e}^{x}\right)+{\mathrm e}^{2 x} x^{4}+x^{6}+x^{4} {\mathrm e}^{6}+2 x^{5} {\mathrm e}^{3}\right)$&$108$\\ norman&$\left({\mathrm e}^{-\frac{5 \sqrt{6}}{3}} x^{6}+{\mathrm e}^{-\frac{5 \sqrt{6}}{3}} x^{4} {\mathrm e}^{2 x}+{\mathrm e}^{-\frac{5 \sqrt{6}}{3}} {\mathrm e}^{6} x^{4}+2 \,{\mathrm e}^{-\frac{5 \sqrt{6}}{3}} x^{5} {\mathrm e}^{x}+2 \,{\mathrm e}^{-\frac{5 \sqrt{6}}{3}} {\mathrm e}^{3} x^{5}+2 \,{\mathrm e}^{-\frac{5 \sqrt{6}}{3}} {\mathrm e}^{3} x^{4} {\mathrm e}^{x}\right) {\mathrm e}^{-\frac{5 \sqrt{6}}{3}}$&$117$\\ \hline \end{longtable}"," ",0,"x^4*exp(-10/3*3^(1/2)*2^(1/2)+6)+2*x^5*exp(-10/3*3^(1/2)*2^(1/2)+3)+exp(-10/3*3^(1/2)*2^(1/2))*x^6+x^4*exp(-10/3*3^(1/2)*2^(1/2)+2*x)+(2*x^4*exp(3)+2*x^5)*exp(-10/3*3^(1/2)*2^(1/2)+x)","B"
4202,1,34,24,0.038000," ","int(1/9*((-2*x*exp(x)*ln(x)*ln(ln(x))+2)*ln(ln(ln(x)))+(2*x*exp(x)^2-20*exp(x)*x)*ln(x)*ln(ln(x))-2*exp(x)+20)/x/ln(x)/ln(ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(\ln \left(x \right)\right)\right)^{2}}{9}-\frac{2 \,{\mathrm e}^{x} \ln \left(\ln \left(\ln \left(x \right)\right)\right)}{9}+\frac{{\mathrm e}^{2 x}}{9}-\frac{20 \,{\mathrm e}^{x}}{9}+\frac{20 \ln \left(\ln \left(\ln \left(x \right)\right)\right)}{9}$&$34$\\ \hline \end{longtable}"," ",0,"1/9*ln(ln(ln(x)))^2-2/9*exp(x)*ln(ln(ln(x)))+1/9*exp(2*x)-20/9*exp(x)+20/9*ln(ln(ln(x)))","A"
4203,1,20,13,0.071000," ","int((540*ln(x)*exp(225*ln(x)^2)^2-900*ln(x)*exp(225*ln(x)^2))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \,{\mathrm e}^{225 \ln \left(x \right)^{2}}+\frac{3 \,{\mathrm e}^{450 \ln \left(x \right)^{2}}}{5}$&$20$\\ derivativedivides&$-2 \,{\mathrm e}^{225 \ln \left(x \right)^{2}}+\frac{3 \,{\mathrm e}^{450 \ln \left(x \right)^{2}}}{5}$&$22$\\ default&$-2 \,{\mathrm e}^{225 \ln \left(x \right)^{2}}+\frac{3 \,{\mathrm e}^{450 \ln \left(x \right)^{2}}}{5}$&$22$\\ norman&$-2 \,{\mathrm e}^{225 \ln \left(x \right)^{2}}+\frac{3 \,{\mathrm e}^{450 \ln \left(x \right)^{2}}}{5}$&$22$\\ \hline \end{longtable}"," ",0,"-2*exp(225*ln(x)^2)+3/5*exp(450*ln(x)^2)","A"
4204,1,26,24,0.067000," ","int((((64*x^3-64*x^2-768*x)*ln(x)+(64*x^3-832*x-768)*ln(2)-64*x^3+64*x^2+768*x)*ln(x^2-x-12)^2+(((-256*x^2+128*x)*ln(2)+256*x^3-128*x^2)*ln(x)+(-256*x^3+128*x^2)*ln(2)+256*x^4-128*x^3)*ln(x^2-x-12))/((x^3-x^2-12*x)*ln(x)^2+(2*x^4-2*x^3-24*x^2)*ln(x)+x^5-x^4-12*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{64 \left(\ln \left(2\right)-x \right) \ln \left(x^{2}-x -12\right)^{2}}{x +\ln \left(x \right)}$&$26$\\ \hline \end{longtable}"," ",0,"-64*(ln(2)-x)/(x+ln(x))*ln(x^2-x-12)^2","A"
4205,1,20,22,0.033000," ","int((-2*x*exp(6*exp(x)/x)^2+(12*x^3-12*x^2)*exp(x)-4*x^3)/exp(6*exp(x)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-x^{4} {\mathrm e}^{-\frac{12 \,{\mathrm e}^{x}}{x}}$&$20$\\ norman&$\left(-x^{4}-x^{2} {\mathrm e}^{\frac{12 \,{\mathrm e}^{x}}{x}}\right) {\mathrm e}^{-\frac{12 \,{\mathrm e}^{x}}{x}}$&$33$\\ \hline \end{longtable}"," ",0,"-x^2-x^4*exp(-12*exp(x)/x)","A"
4206,1,12,11,0.021000," ","int(3/8*exp(2)/x^3/ln(5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{3 \,{\mathrm e}^{2}}{16 \ln \left(5\right)^{2} x^{2}}$&$12$\\ default&$-\frac{3 \,{\mathrm e}^{2}}{16 \ln \left(5\right)^{2} x^{2}}$&$12$\\ norman&$-\frac{3 \,{\mathrm e}^{2}}{16 \ln \left(5\right)^{2} x^{2}}$&$12$\\ risch&$-\frac{3 \,{\mathrm e}^{2}}{16 \ln \left(5\right)^{2} x^{2}}$&$12$\\ \hline \end{longtable}"," ",0,"-3/16*exp(2)/ln(5)^2/x^2","A"
4207,1,22,28,0.028000," ","int(((-24*x^2-24*x)*ln(x)-496*x^2-656*x+32)/((x^6+x^5-5*x^4-x^3+8*x^2-4*x)*ln(x)^3+(60*x^6+120*x^5-180*x^4-240*x^3+240*x^2)*ln(x)^2+(1200*x^6+3600*x^5-4800*x^3)*ln(x)+8000*x^6+32000*x^5+32000*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8}{\left(2+x \right) \left(x \ln \left(x \right)+20 x -\ln \left(x \right)\right)^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"8/(2+x)/(x*ln(x)+20*x-ln(x))^2","A"
4208,1,50,29,0.458000," ","int(((2*(-3*x^2-6*x)*ln(2)-3*x^4)*exp(x)+4*(150*x-30)*ln(2)^2+2*(300*x^3-60*x^2)*ln(2)+150*x^5-30*x^4)/(8*exp(x)^2*x^4+(2*(-400*x^4+160*x^3-16*x^2)*ln(2)-400*x^6+160*x^5-16*x^4)*exp(x)+4*(5000*x^4-4000*x^3+1200*x^2-160*x+8)*ln(2)^2+2*(10000*x^6-8000*x^5+2400*x^4-320*x^3+16*x^2)*ln(2)+5000*x^8-4000*x^7+1200*x^6-160*x^5+8*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 \left(x^{2}+2 \ln \left(2\right)\right)}{8 \left(25 x^{4}+50 x^{2} \ln \left(2\right)-10 x^{3}-{\mathrm e}^{x} x^{2}-20 x \ln \left(2\right)+x^{2}+2 \ln \left(2\right)\right)}$&$50$\\ norman&$\frac{-\frac{3 x^{2}}{8}-\frac{3 \ln \left(2\right)}{4}}{25 x^{4}+50 x^{2} \ln \left(2\right)-10 x^{3}-{\mathrm e}^{x} x^{2}-20 x \ln \left(2\right)+x^{2}+2 \ln \left(2\right)}$&$51$\\ \hline \end{longtable}"," ",0,"-3/8*(x^2+2*ln(2))/(25*x^4+50*x^2*ln(2)-10*x^3-exp(x)*x^2-20*x*ln(2)+x^2+2*ln(2))","A"
4209,1,99,32,0.092000," ","int(((4*(-8*x^3*exp(3)+16*x^4-2*x^3)*ln(2)^2+2*(-16*x^2*exp(3)+32*x^3-4*x^2-4*x)*ln(2)-8*x*exp(3)+16*x^2-2*x)*ln(x)^2+(2*(16*x^2*exp(3)-32*x^3+4*x^2)*ln(2)+16*x*exp(3)-32*x^2+4*x)*ln(x)-8*x*exp(3)+16*x^2-2*x-4)*exp(((2*(x*exp(3)^2-4*x^2*exp(3)+4*x^3-x^2)*ln(2)+exp(3)^2-4*x*exp(3)+4*x^2-x+2)*ln(x)-exp(3)^2+4*x*exp(3)-4*x^2+x)/((2*x*ln(2)+1)*ln(x)-1))^2/((4*x^3*ln(2)^2+4*x^2*ln(2)+x)*ln(x)^2+(-4*x^2*ln(2)-2*x)*ln(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 \left(8 \ln \left(x \right) {\mathrm e}^{3} \ln \left(2\right) x^{2}-8 \ln \left(x \right) \ln \left(2\right) x^{3}-2 \ln \left(x \right) \ln \left(2\right) {\mathrm e}^{6} x +2 x^{2} \ln \left(2\right) \ln \left(x \right)+4 x \,{\mathrm e}^{3} \ln \left(x \right)-4 x^{2} \ln \left(x \right)-\ln \left(x \right) {\mathrm e}^{6}+x \ln \left(x \right)-4 x \,{\mathrm e}^{3}+4 x^{2}-2 \ln \left(x \right)+{\mathrm e}^{6}-x \right)}{2 x \ln \left(2\right) \ln \left(x \right)+\ln \left(x \right)-1}}$&$99$\\ \hline \end{longtable}"," ",0,"exp(-2*(8*ln(x)*exp(3)*ln(2)*x^2-8*ln(x)*ln(2)*x^3-2*ln(x)*ln(2)*exp(6)*x+2*x^2*ln(2)*ln(x)+4*x*exp(3)*ln(x)-4*x^2*ln(x)-ln(x)*exp(6)+x*ln(x)-4*x*exp(3)+4*x^2-2*ln(x)+exp(6)-x)/(2*x*ln(2)*ln(x)+ln(x)-1))","B"
4210,1,8,16,0.016000," ","int((exp(x)*x+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x \right)+{\mathrm e}^{x}$&$8$\\ norman&$2 \ln \left(x \right)+{\mathrm e}^{x}$&$8$\\ risch&$2 \ln \left(x \right)+{\mathrm e}^{x}$&$8$\\ \hline \end{longtable}"," ",0,"2*ln(x)+exp(x)","A"
4211,1,31,26,0.029000," ","int(((-2*x^4+x^3-14*x^2+3*x-42)*exp((x-7)/x^2)*ln(x)-4*x^4*exp((x-7)/x^2)^2+(x^4+3*x^2)*exp((x-7)/x^2))/(x^3*ln(x)^2+4*x^3*exp((x-7)/x^2)*ln(x)+4*x^3*exp((x-7)/x^2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x^{2}+3\right) {\mathrm e}^{\frac{x -7}{x^{2}}}}{\ln \left(x \right)+2 \,{\mathrm e}^{\frac{x -7}{x^{2}}}}$&$31$\\ \hline \end{longtable}"," ",0,"-(x^2+3)*exp((x-7)/x^2)/(ln(x)+2*exp((x-7)/x^2))","A"
4212,1,25,31,0.050000," ","int((-2*x*ln(x)^3+(36*x^2-60*x)*ln(x)^2+((4*x^3-8*x^2)*exp(1)^2-216*x^3+720*x^2-600*x)*ln(x)+(-12*x^3+32*x^2-16*x)*exp(1)^2+432*x^4-2160*x^3+3600*x^2-2000*x)/(ln(x)^3+(-18*x+30)*ln(x)^2+(108*x^2-360*x+300)*ln(x)-216*x^3+1080*x^2-1800*x+1000)/exp((x^2-4*x+4)*exp(1)^2/(ln(x)^2+(-12*x+20)*ln(x)+36*x^2-120*x+100))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} {\mathrm e}^{-\frac{2 \left(x -2\right)^{2} {\mathrm e}^{2}}{\left(10+\ln \left(x \right)-6 x \right)^{2}}}$&$25$\\ \hline \end{longtable}"," ",0,"-x^2*exp(-2*(x-2)^2*exp(2)/(10+ln(x)-6*x)^2)","A"
4213,1,19,20,0.055000," ","int((((x^3-5*x^2)*exp(x)+x^3-x^2-10*x)*exp(exp(x))+9*x-27)/((x^3-5*x^2)*exp(exp(x))+9*x-45),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +2 \ln \left(x -5\right)+\ln \left({\mathrm e}^{{\mathrm e}^{x}} x^{2}+9\right)$&$19$\\ risch&$x +2 \ln \left(x^{2}-5 x \right)+\ln \left({\mathrm e}^{{\mathrm e}^{x}}+\frac{9}{x^{2}}\right)$&$23$\\ \hline \end{longtable}"," ",0,"x+2*ln(x-5)+ln(exp(exp(x))*x^2+9)","A"
4214,1,13,12,0.021000," ","int((2*ln(ln(x)-2)+14*x*ln(x)-28*x)/((x*ln(x)-2*x)*ln(ln(x)-2)^2+14*x^2*ln(x)-28*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(14 x +\ln \left(\ln \left(x \right)-2\right)^{2}\right)$&$13$\\ \hline \end{longtable}"," ",0,"ln(14*x+ln(ln(x)-2)^2)","A"
4215,1,20,19,0.086000," ","int(((-4*x^2+4*x+8)*exp((x^2+4*x+4)/x^2)-5*x^3)/(2*x^11*exp((x^2+4*x+4)/x^2)^3+6*x^12*exp((x^2+4*x+4)/x^2)^2+6*x^13*exp((x^2+4*x+4)/x^2)+2*x^14),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{4 \left(x +{\mathrm e}^{\frac{\left(2+x \right)^{2}}{x^{2}}}\right)^{2} x^{8}}$&$20$\\ \hline \end{longtable}"," ",0,"1/4/(x+exp((2+x)^2/x^2))^2/x^8","A"
4216,1,40,19,0.052000," ","int(((2*x^2-128*x+1)*ln(3)^2+(8*x^2-384*x+2)*ln(3)+8*x^2-256*x+1)/(x*ln(3)^2+2*x*ln(3)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-128 \ln \left(3\right)-256\right) x +\frac{\left(\ln \left(3\right)^{2}+4 \ln \left(3\right)+4\right) x^{2}}{\ln \left(3\right)+1}}{\ln \left(3\right)+1}+\ln \left(x \right)$&$40$\\ default&$\frac{x^{2} \ln \left(3\right)^{2}-128 x \ln \left(3\right)^{2}+4 x^{2} \ln \left(3\right)-384 x \ln \left(3\right)+4 x^{2}-256 x +\left(\ln \left(3\right)^{2}+2 \ln \left(3\right)+1\right) \ln \left(x \right)}{\ln \left(3\right)^{2}+2 \ln \left(3\right)+1}$&$63$\\ risch&$\frac{\ln \left(3\right)^{2} x^{2}}{\ln \left(3\right)^{2}+2 \ln \left(3\right)+1}-\frac{128 x \ln \left(3\right)^{2}}{\ln \left(3\right)^{2}+2 \ln \left(3\right)+1}+\frac{4 \ln \left(3\right) x^{2}}{\ln \left(3\right)^{2}+2 \ln \left(3\right)+1}-\frac{384 \ln \left(3\right) x}{\ln \left(3\right)^{2}+2 \ln \left(3\right)+1}+\frac{4 x^{2}}{\ln \left(3\right)^{2}+2 \ln \left(3\right)+1}-\frac{256 x}{\ln \left(3\right)^{2}+2 \ln \left(3\right)+1}+\ln \left(x \right)$&$111$\\ \hline \end{longtable}"," ",0,"((-128*ln(3)-256)*x+(ln(3)^2+4*ln(3)+4)/(ln(3)+1)*x^2)/(ln(3)+1)+ln(x)","B"
4217,1,14,15,0.039000," ","int(2/(x*ln(2*x)-5*x*ln(3)-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(-4+\ln \left(2 x \right)-5 \ln \left(3\right)\right)$&$14$\\ derivativedivides&$2 \ln \left(4-\ln \left(2 x \right)+5 \ln \left(3\right)\right)$&$16$\\ default&$2 \ln \left(4-\ln \left(2 x \right)+5 \ln \left(3\right)\right)$&$16$\\ norman&$2 \ln \left(4-\ln \left(2 x \right)+5 \ln \left(3\right)\right)$&$16$\\ \hline \end{longtable}"," ",0,"2*ln(-4+ln(2*x)-5*ln(3))","A"
4218,1,26,22,0.093000," ","int(((-2*x*exp(1)+2*x^2-2)*exp(exp(1)^2-2*x*exp(1)+x^2)-4*ln(2)-x+4)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x +2 \ln \left(2\right)-2+{\mathrm e}^{{\mathrm e}^{2}-2 x \,{\mathrm e}+x^{2}}}{x^{2}}$&$26$\\ risch&$\frac{x +2 \ln \left(2\right)-2}{x^{2}}+\frac{{\mathrm e}^{{\mathrm e}^{2}-2 x \,{\mathrm e}+x^{2}}}{x^{2}}$&$29$\\ \hline \end{longtable}"," ",0,"(x+2*ln(2)-2+exp(exp(1)^2-2*x*exp(1)+x^2))/x^2","A"
4219,1,25,20,0.075000," ","int(((-4*x^2-7)*ln(16*x^3-64*x^2+28*x-112)^2+(-24*x^2+64*x-14)*ln(16*x^3-64*x^2+28*x-112))/(4*x^2+7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x +4\right) \ln \left(16 x^{3}-64 x^{2}+28 x -112\right)^{2}$&$25$\\ norman&$4 \ln \left(16 x^{3}-64 x^{2}+28 x -112\right)^{2}-x \ln \left(16 x^{3}-64 x^{2}+28 x -112\right)^{2}$&$43$\\ \hline \end{longtable}"," ",0,"(-x+4)*ln(16*x^3-64*x^2+28*x-112)^2","A"
4220,1,18,22,0.026000," ","int((((2*exp(x)*x+5*x^2+5*x)*ln(x)+5*x+exp(x))*exp(ln(5*x+exp(x))+x+ln(x))+2*exp(x)*x^3+10*x^4)/(exp(x)*x^2+5*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(5 \,{\mathrm e}^{x} x +{\mathrm e}^{2 x}\right) \ln \left(x \right)+x^{2}$&$18$\\ \hline \end{longtable}"," ",0,"(5*exp(x)*x+exp(2*x))*ln(x)+x^2","A"
4221,1,14,15,0.023000," ","int(1/512*(-5*exp(1)*ln(x)-5*exp(1)-5*x)/x^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\frac{5 x}{512}+\frac{5 \,{\mathrm e}}{512}}{x \ln \left(x \right)}$&$14$\\ norman&$\frac{\frac{5 x}{512}+\frac{5 \,{\mathrm e}}{512}}{x \ln \left(x \right)}$&$17$\\ default&$\frac{5 \,{\mathrm e} \expIntegralEi \left(1, \ln \left(x \right)\right)}{512}-\frac{5 \,{\mathrm e} \left(-\frac{1}{x \ln \left(x \right)}+\expIntegralEi \left(1, \ln \left(x \right)\right)\right)}{512}+\frac{5}{512 \ln \left(x \right)}$&$34$\\ \hline \end{longtable}"," ",0,"5/512*(x+exp(1))/x/ln(x)","A"
4222,1,31,27,0.081000," ","int(((-x^2*exp(exp(x))^2+(exp(x)*x^2-2*x*exp(4)+2*x^3+2*x^2-5*x)*exp(exp(x))-exp(4)^2+(2*x^2+2*x-6)*exp(4)-x^4-2*x^3+3*x^2+5*x-9)*exp(1/(x*exp(exp(x))+exp(4)-x^2-x+3))+(2*x^3+2*x^2)*exp(exp(x))^2+((4*x^2+4*x)*exp(4)-4*x^4-8*x^3+8*x^2+12*x)*exp(exp(x))+(2*x+2)*exp(4)^2+(-4*x^3-8*x^2+8*x+12)*exp(4)+2*x^5+6*x^4-6*x^3-22*x^2+6*x+18)/(x^2*exp(exp(x))^2+(2*x*exp(4)-2*x^3-2*x^2+6*x)*exp(exp(x))+exp(4)^2+(-2*x^2-2*x+6)*exp(4)+x^4+2*x^3-5*x^2-6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-{\mathrm e}^{\frac{1}{x \,{\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{4}-x^{2}-x +3}} x +2 x$&$31$\\ \hline \end{longtable}"," ",0,"x^2-exp(1/(x*exp(exp(x))+exp(4)-x^2-x+3))*x+2*x","A"
4223,1,25,29,0.293000," ","int(((10*x^3-45*x^2+45*x)*ln((2*x-3)/(x-3))-3*x^3+15*x^2)/(4*x^5-78*x^4+588*x^3-2120*x^2+3600*x-2250)/ln((2*x-3)/(x-3))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x^{2}}{4 \left(x -5\right)^{2} \ln \left(\frac{2 x -3}{x -3}\right)^{2}}$&$25$\\ risch&$-\frac{x^{2}}{4 \left(x^{2}-10 x +25\right) \ln \left(\frac{2 x -3}{x -3}\right)^{2}}$&$30$\\ \hline \end{longtable}"," ",0,"-1/4*x^2/(x-5)^2/ln((2*x-3)/(x-3))^2","A"
4224,1,62,19,0.038000," ","int(ln(exp(3)-2/5)^4+4*ln(exp(3)-2/5)^3+(-6*x^2+6)*ln(exp(3)-2/5)^2+(-12*x^2+4)*ln(exp(3)-2/5)+5*x^4-6*x^2+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left({\mathrm e}^{3}-\frac{2}{5}\right)^{4} x +4 \ln \left({\mathrm e}^{3}-\frac{2}{5}\right)^{3} x +\ln \left({\mathrm e}^{3}-\frac{2}{5}\right)^{2} \left(-2 x^{3}+6 x \right)+\ln \left({\mathrm e}^{3}-\frac{2}{5}\right) \left(-4 x^{3}+4 x \right)+x^{5}-2 x^{3}+x$&$62$\\ gosper&$\left(\ln \left({\mathrm e}^{3}-\frac{2}{5}\right)+1-x \right) x \left(\ln \left({\mathrm e}^{3}-\frac{2}{5}\right)^{3}+x \ln \left({\mathrm e}^{3}-\frac{2}{5}\right)^{2}-\ln \left({\mathrm e}^{3}-\frac{2}{5}\right) x^{2}-x^{3}+3 \ln \left({\mathrm e}^{3}-\frac{2}{5}\right)^{2}+2 x \ln \left({\mathrm e}^{3}-\frac{2}{5}\right)-x^{2}+3 \ln \left({\mathrm e}^{3}-\frac{2}{5}\right)+x +1\right)$&$76$\\ norman&$x^{5}+\left(-2 \ln \left(5\right)^{2}+4 \ln \left(5\right) \ln \left(5 \,{\mathrm e}^{3}-2\right)-2 \ln \left(5 \,{\mathrm e}^{3}-2\right)^{2}+4 \ln \left(5\right)-4 \ln \left(5 \,{\mathrm e}^{3}-2\right)-2\right) x^{3}+\left(1+\ln \left(5\right)^{4}-4 \ln \left(5\right)^{3}-4 \ln \left(5\right)+6 \ln \left(5\right)^{2}-12 \ln \left(5\right) \ln \left(5 \,{\mathrm e}^{3}-2\right)+6 \ln \left(5 \,{\mathrm e}^{3}-2\right)^{2}+12 \ln \left(5\right)^{2} \ln \left(5 \,{\mathrm e}^{3}-2\right)-12 \ln \left(5\right) \ln \left(5 \,{\mathrm e}^{3}-2\right)^{2}-4 \ln \left(5\right)^{3} \ln \left(5 \,{\mathrm e}^{3}-2\right)+6 \ln \left(5\right)^{2} \ln \left(5 \,{\mathrm e}^{3}-2\right)^{2}-4 \ln \left(5\right) \ln \left(5 \,{\mathrm e}^{3}-2\right)^{3}+4 \ln \left(5 \,{\mathrm e}^{3}-2\right)+4 \ln \left(5 \,{\mathrm e}^{3}-2\right)^{3}+\ln \left(5 \,{\mathrm e}^{3}-2\right)^{4}\right) x$&$194$\\ risch&$x \ln \left(5\right)^{4}-4 \ln \left(5\right)^{3} \ln \left(5 \,{\mathrm e}^{3}-2\right) x +6 \ln \left(5\right)^{2} \ln \left(5 \,{\mathrm e}^{3}-2\right)^{2} x -2 x^{3} \ln \left(5\right)^{2}-4 \ln \left(5\right) \ln \left(5 \,{\mathrm e}^{3}-2\right)^{3} x +4 \ln \left(5\right) \ln \left(5 \,{\mathrm e}^{3}-2\right) x^{3}+\ln \left(5 \,{\mathrm e}^{3}-2\right)^{4} x -2 \ln \left(5 \,{\mathrm e}^{3}-2\right)^{2} x^{3}+x^{5}-4 \ln \left(5\right)^{3} x +12 \ln \left(5\right)^{2} \ln \left(5 \,{\mathrm e}^{3}-2\right) x -12 \ln \left(5\right) \ln \left(5 \,{\mathrm e}^{3}-2\right)^{2} x +4 x^{3} \ln \left(5\right)+4 \ln \left(5 \,{\mathrm e}^{3}-2\right)^{3} x -4 x^{3} \ln \left(5 \,{\mathrm e}^{3}-2\right)+6 x \ln \left(5\right)^{2}-12 \ln \left(5\right) \ln \left(5 \,{\mathrm e}^{3}-2\right) x +6 \ln \left(5 \,{\mathrm e}^{3}-2\right)^{2} x -2 x^{3}-4 x \ln \left(5\right)+4 x \ln \left(5 \,{\mathrm e}^{3}-2\right)+x$&$221$\\ \hline \end{longtable}"," ",0,"ln(exp(3)-2/5)^4*x+4*ln(exp(3)-2/5)^3*x+ln(exp(3)-2/5)^2*(-2*x^3+6*x)+ln(exp(3)-2/5)*(-4*x^3+4*x)+x^5-2*x^3+x","B"
4225,1,8,14,0.017000," ","int((2*x-2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-2 x \,{\mathrm e}^{-x}$&$8$\\ default&$-2 x \,{\mathrm e}^{-x}$&$8$\\ norman&$-2 x \,{\mathrm e}^{-x}$&$8$\\ risch&$-2 x \,{\mathrm e}^{-x}$&$8$\\ meijerg&$-\left(2 x +2\right) {\mathrm e}^{-x}+2 \,{\mathrm e}^{-x}$&$19$\\ \hline \end{longtable}"," ",0,"-2*x/exp(x)","A"
4226,1,235,22,0.143000," ","int(1/15*((-10*x-3)*ln(x/exp(exp(x)))+(5*x^2+3*x)*exp(x)+5*x+12)*exp(1/15*(-5*x^2-3*x)*ln(x/exp(exp(x)))+1/3*x^2+x+7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{-\frac{x^{2}}{3}} x^{-\frac{x}{5}} \left({\mathrm e}^{{\mathrm e}^{x}}\right)^{\frac{x^{2}}{3}} \left({\mathrm e}^{{\mathrm e}^{x}}\right)^{\frac{x}{5}} {\mathrm e}^{7+\frac{i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-{\mathrm e}^{x}}\right)^{3} x^{2}}{6}+\frac{i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-{\mathrm e}^{x}}\right)^{3} x}{10}-\frac{i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-{\mathrm e}^{x}}\right)^{2} \mathrm{csgn}\left(i x \right) x^{2}}{6}-\frac{i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-{\mathrm e}^{x}}\right)^{2} \mathrm{csgn}\left(i x \right) x}{10}-\frac{i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-{\mathrm e}^{x}}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{x}}\right) x^{2}}{6}-\frac{i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-{\mathrm e}^{x}}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{x}}\right) x}{10}+\frac{i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-{\mathrm e}^{x}}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{x}}\right) x^{2}}{6}+\frac{i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-{\mathrm e}^{x}}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{x}}\right) x}{10}+\frac{x^{2}}{3}+x}$&$235$\\ \hline \end{longtable}"," ",0,"x^(-1/3*x^2)*x^(-1/5*x)*exp(exp(x))^(1/3*x^2)*exp(exp(x))^(1/5*x)*exp(7+1/6*I*Pi*csgn(I*x*exp(-exp(x)))^3*x^2+1/10*I*Pi*csgn(I*x*exp(-exp(x)))^3*x-1/6*I*Pi*csgn(I*x*exp(-exp(x)))^2*csgn(I*x)*x^2-1/10*I*Pi*csgn(I*x*exp(-exp(x)))^2*csgn(I*x)*x-1/6*I*Pi*csgn(I*x*exp(-exp(x)))^2*csgn(I*exp(-exp(x)))*x^2-1/10*I*Pi*csgn(I*x*exp(-exp(x)))^2*csgn(I*exp(-exp(x)))*x+1/6*I*Pi*csgn(I*x*exp(-exp(x)))*csgn(I*x)*csgn(I*exp(-exp(x)))*x^2+1/10*I*Pi*csgn(I*x*exp(-exp(x)))*csgn(I*x)*csgn(I*exp(-exp(x)))*x+1/3*x^2+x)","C"
4227,1,47,29,0.078000," ","int(((5*x^4-10*x^3+5*x^2)*exp(x)+4*x^3-6*x^2+2*x)*exp(5*exp(x)-2)-6*x^5+15*x^4-12*x^3+3*x^2-6*x+6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \left(x^{2}-2 x +1\right) {\mathrm e}^{5 \,{\mathrm e}^{x}-2}-x^{6}+3 x^{5}-3 x^{4}+x^{3}-3 x^{2}+6 x$&$47$\\ default&$6 x +{\mathrm e}^{5 \,{\mathrm e}^{x}-2} x^{2}+x^{4} {\mathrm e}^{5 \,{\mathrm e}^{x}-2}-2 \,{\mathrm e}^{5 \,{\mathrm e}^{x}-2} x^{3}-3 x^{2}+x^{3}-3 x^{4}+3 x^{5}-x^{6}$&$62$\\ norman&$6 x +{\mathrm e}^{5 \,{\mathrm e}^{x}-2} x^{2}+x^{4} {\mathrm e}^{5 \,{\mathrm e}^{x}-2}-2 \,{\mathrm e}^{5 \,{\mathrm e}^{x}-2} x^{3}-3 x^{2}+x^{3}-3 x^{4}+3 x^{5}-x^{6}$&$62$\\ \hline \end{longtable}"," ",0,"x^2*(x^2-2*x+1)*exp(5*exp(x)-2)-x^6+3*x^5-3*x^4+x^3-3*x^2+6*x","A"
4228,1,22,18,0.094000," ","int((((2*x-6)*ln(28*x)+8*x-24)*exp(ln(28*x)^2+8*ln(28*x)+16)+(x^2-3*x)*exp(x)+x)/(x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x -3\right)+377801998336 x^{8} {\mathrm e}^{\ln \left(28 x \right)^{2}+16}+{\mathrm e}^{x}$&$22$\\ default&$\ln \left(x -3\right)+{\mathrm e}^{\ln \left(28 x \right)^{2}+8 \ln \left(28 x \right)+16}+{\mathrm e}^{x}$&$23$\\ \hline \end{longtable}"," ",0,"ln(x-3)+377801998336*x^8*exp(ln(28*x)^2+16)+exp(x)","A"
4229,1,19,25,0.033000," ","int(((2*x^2+4*x-3)*ln(x)+2*x^2-x-3)/(2*x^3-x^2-3*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(x \right)\right)-\ln \left(x +1\right)+\ln \left(2 x -3\right)+\ln \left(x \right)$&$19$\\ norman&$\ln \left(\ln \left(x \right)\right)-\ln \left(x +1\right)+\ln \left(2 x -3\right)+\ln \left(x \right)$&$19$\\ risch&$-\ln \left(x +1\right)+\ln \left(2 x^{2}-3 x \right)+\ln \left(\ln \left(x \right)\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(ln(x))-ln(x+1)+ln(2*x-3)+ln(x)","A"
4230,1,50,22,0.445000," ","int((20*x+16)*ln(ln(x)^2+1/16*(-128*ln(2)^2+40*x+64)*ln(x)+16*ln(2)^4+1/4*(-40*x-64)*ln(2)^2+25/16*x^2+5*x+4)/(4*x*ln(x)-16*x*ln(2)^2+5*x^2+8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(x \right)^{2}+\frac{\left(-128 \ln \left(2\right)^{2}+40 x +64\right) \ln \left(x \right)}{16}+16 \ln \left(2\right)^{4}+\frac{\left(-40 x -64\right) \ln \left(2\right)^{2}}{4}+\frac{25 x^{2}}{16}+5 x +4\right)^{2}$&$50$\\ default&$\ln \left(16 \ln \left(x \right)^{2}-128 \ln \left(x \right) \ln \left(2\right)^{2}+40 x \ln \left(x \right)+64 \ln \left(x \right)+256 \ln \left(2\right)^{4}-160 x \ln \left(2\right)^{2}-256 \ln \left(2\right)^{2}+25 x^{2}+80 x +64\right)^{2}-16 \ln \left(2\right) \ln \left(16 \ln \left(2\right)^{2}-4 \ln \left(x \right)-5 x -8\right)$&$77$\\ risch&$4 \ln \left(\ln \left(2\right)^{2}-\frac{5 x}{16}-\frac{\ln \left(x \right)}{4}-\frac{1}{2}\right)^{2}-2 \left(i \pi  \mathrm{csgn}\left(i \left(\ln \left(2\right)^{2}-\frac{5 x}{16}-\frac{\ln \left(x \right)}{4}-\frac{1}{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(2\right)^{2}-\frac{5 x}{16}-\frac{\ln \left(x \right)}{4}-\frac{1}{2}\right)^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(2\right)^{2}-\frac{5 x}{16}-\frac{\ln \left(x \right)}{4}-\frac{1}{2}\right)\right) \mathrm{csgn}\left(i \left(\ln \left(2\right)^{2}-\frac{5 x}{16}-\frac{\ln \left(x \right)}{4}-\frac{1}{2}\right)^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i \left(\ln \left(2\right)^{2}-\frac{5 x}{16}-\frac{\ln \left(x \right)}{4}-\frac{1}{2}\right)^{2}\right)^{3}+8 \ln \left(2\right)\right) \ln \left(-4 \ln \left(2\right)^{2}+\ln \left(x \right)+\frac{5 x}{4}+2\right)$&$150$\\ \hline \end{longtable}"," ",0,"ln(ln(x)^2+1/16*(-128*ln(2)^2+40*x+64)*ln(x)+16*ln(2)^4+1/4*(-40*x-64)*ln(2)^2+25/16*x^2+5*x+4)^2","B"
4231,1,13,20,0.024000," ","int(((x^2-2*x)*exp(x)+6)/(exp(x)*x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-3 \ln \left(x \right)+\ln \left({\mathrm e}^{x} x -2\right)$&$13$\\ risch&$-2 \ln \left(x \right)+\ln \left({\mathrm e}^{x}-\frac{2}{x}\right)$&$15$\\ \hline \end{longtable}"," ",0,"-3*ln(x)+ln(exp(x)*x-2)","A"
4232,1,82,19,0.035000," ","int(((2*x^2+2*x)*ln(x)^2+(4*(-16*x^2-8*x)*ln(2)+2*(-12*x^2-6*x)*ln(2)-2*exp(2)*x+10*x^2+8*x+2)*ln(x)+584*x^2*ln(2)^2+4*(96*x^2*ln(2)+8*exp(2)*x-40*x^2-8*x)*ln(2)+2*(6*exp(2)*x-30*x^2-6*x)*ln(2)+(-6*x-2)*exp(2)+12*x^2+4*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)^{2}+x^{2} \ln \left(x \right)^{2}-2 \,{\mathrm e}^{2} \ln \left(x \right)+\left(-4 \,{\mathrm e}^{2}+44 \,{\mathrm e}^{2} \ln \left(2\right)\right) x +\left(4-88 \ln \left(2\right)+484 \ln \left(2\right)^{2}\right) x^{2}+\left(4-44 \ln \left(2\right)\right) x^{2} \ln \left(x \right)+\left(4-2 \,{\mathrm e}^{2}-44 \ln \left(2\right)\right) x \ln \left(x \right)+2 x \ln \left(x \right)^{2}$&$82$\\ risch&$\left(x^{2}+2 x +1\right) \ln \left(x \right)^{2}+\left(-44 x^{2} \ln \left(2\right)-2 \,{\mathrm e}^{2} x -44 x \ln \left(2\right)+4 x^{2}+4 x \right) \ln \left(x \right)+484 x^{2} \ln \left(2\right)^{2}+44 x \,{\mathrm e}^{2} \ln \left(2\right)-88 x^{2} \ln \left(2\right)-4 \,{\mathrm e}^{2} x +4 x^{2}-2 \,{\mathrm e}^{2} \ln \left(x \right)$&$83$\\ default&$x^{2} \ln \left(x \right)^{2}+4 x^{2} \ln \left(x \right)+4 x^{2}-88 \ln \left(2\right) \left(\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}\right)+484 x^{2} \ln \left(2\right)^{2}-2 \,{\mathrm e}^{2} \left(x \ln \left(x \right)-x \right)+44 x \,{\mathrm e}^{2} \ln \left(2\right)+2 x \ln \left(x \right)^{2}+4 x \ln \left(x \right)-44 \ln \left(2\right) \left(x \ln \left(x \right)-x \right)-110 x^{2} \ln \left(2\right)-6 \,{\mathrm e}^{2} x -44 x \ln \left(2\right)-2 \,{\mathrm e}^{2} \ln \left(x \right)+\ln \left(x \right)^{2}$&$118$\\ \hline \end{longtable}"," ",0,"ln(x)^2+x^2*ln(x)^2-2*exp(2)*ln(x)+(-4*exp(2)+44*exp(2)*ln(2))*x+(4-88*ln(2)+484*ln(2)^2)*x^2+(4-44*ln(2))*x^2*ln(x)+(4-2*exp(2)-44*ln(2))*x*ln(x)+2*x*ln(x)^2","B"
4233,1,36,17,0.054000," ","int((24*x^4+160*x^3+384*x^2+392*x+144)*exp(x^3+4*x^2+4*x)^2+(432*x^3+2016*x^2+2880*x+1296)*exp(x^3+4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(4 x^{2}+16 x +16\right) {\mathrm e}^{2 x \left(2+x \right)^{2}}+\left(288+144 x \right) {\mathrm e}^{x \left(2+x \right)^{2}}$&$36$\\ default&$144 \,{\mathrm e}^{x^{3}+4 x^{2}+4 x} x +288 \,{\mathrm e}^{x^{3}+4 x^{2}+4 x}+16 \,{\mathrm e}^{2 x^{3}+8 x^{2}+8 x}+16 x \,{\mathrm e}^{2 x^{3}+8 x^{2}+8 x}+4 x^{2} {\mathrm e}^{2 x^{3}+8 x^{2}+8 x}$&$88$\\ norman&$144 \,{\mathrm e}^{x^{3}+4 x^{2}+4 x} x +288 \,{\mathrm e}^{x^{3}+4 x^{2}+4 x}+16 \,{\mathrm e}^{2 x^{3}+8 x^{2}+8 x}+16 x \,{\mathrm e}^{2 x^{3}+8 x^{2}+8 x}+4 x^{2} {\mathrm e}^{2 x^{3}+8 x^{2}+8 x}$&$88$\\ \hline \end{longtable}"," ",0,"(4*x^2+16*x+16)*exp(2*x*(2+x)^2)+(288+144*x)*exp(x*(2+x)^2)","B"
4234,1,19,24,0.011000," ","int(-400*x^3-300*x^2-250*x-51,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(100 x^{3}+100 x^{2}+125 x +51\right)$&$19$\\ default&$-100 x^{4}-100 x^{3}-125 x^{2}-51 x$&$20$\\ norman&$-100 x^{4}-100 x^{3}-125 x^{2}-51 x$&$20$\\ risch&$-100 x^{4}-100 x^{3}-125 x^{2}-51 x$&$20$\\ \hline \end{longtable}"," ",0,"-x*(100*x^3+100*x^2+125*x+51)","A"
4235,1,48,22,0.063000," ","int(1/4*(8*x^2*ln(29)+8*x)*exp(x*ln(29))^2+1/4*((2*x^3-20*x^2+50*x)*ln(29)+6*x^2-40*x+50)*exp(x*ln(29))+1/4*x^3-15/4*x^2+75/4*x-125/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$29^{2 x} x^{2}+\frac{\left(2 x^{3}-20 x^{2}+50 x \right) 29^{x}}{4}+\frac{x^{4}}{16}-\frac{5 x^{3}}{4}+\frac{75 x^{2}}{8}-\frac{125 x}{4}$&$48$\\ default&$-\frac{125 x}{4}+\frac{75 x^{2}}{8}-\frac{5 x^{3}}{4}+\frac{x^{4}}{16}+{\mathrm e}^{2 x \ln \left(29\right)} x^{2}+\frac{{\mathrm e}^{x \ln \left(29\right)} x^{3}}{2}-5 \,{\mathrm e}^{x \ln \left(29\right)} x^{2}+\frac{25 \,{\mathrm e}^{x \ln \left(29\right)} x}{2}$&$59$\\ norman&$-\frac{125 x}{4}+\frac{75 x^{2}}{8}-\frac{5 x^{3}}{4}+\frac{x^{4}}{16}+{\mathrm e}^{2 x \ln \left(29\right)} x^{2}+\frac{{\mathrm e}^{x \ln \left(29\right)} x^{3}}{2}-5 \,{\mathrm e}^{x \ln \left(29\right)} x^{2}+\frac{25 \,{\mathrm e}^{x \ln \left(29\right)} x}{2}$&$59$\\ derivativedivides&$\frac{-125 x \ln \left(29\right)+\frac{x^{4} \ln \left(29\right)}{4}+4 \ln \left(29\right) {\mathrm e}^{2 x \ln \left(29\right)} x^{2}+50 \ln \left(29\right) {\mathrm e}^{x \ln \left(29\right)} x -20 \ln \left(29\right) {\mathrm e}^{x \ln \left(29\right)} x^{2}+2 \ln \left(29\right) {\mathrm e}^{x \ln \left(29\right)} x^{3}+\frac{75 x^{2} \ln \left(29\right)}{2}-5 x^{3} \ln \left(29\right)}{4 \ln \left(29\right)}$&$82$\\ \hline \end{longtable}"," ",0,"(29^x)^2*x^2+1/4*(2*x^3-20*x^2+50*x)*29^x+1/16*x^4-5/4*x^3+75/8*x^2-125/4*x","B"
4236,1,20,20,0.211000," ","int((((5+x)*exp(4)+x^2)*exp(exp(4)/x)-x^3-10*x^2-25*x)/(x^4+10*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{{\mathrm e}^{\frac{{\mathrm e}^{4}}{x}}}{5+x}-\ln \left(x \right)$&$20$\\ risch&$-\frac{{\mathrm e}^{\frac{{\mathrm e}^{4}}{x}}}{5+x}-\ln \left(x \right)$&$20$\\ derivativedivides&$-{\mathrm e}^{4} \left({\mathrm e}^{8} \left(-\frac{{\mathrm e}^{\frac{{\mathrm e}^{4}}{x}} {\mathrm e}^{-8}}{5 \left({\mathrm e}^{4}+\frac{5 \,{\mathrm e}^{4}}{x}\right)}-\frac{{\mathrm e}^{-8} {\mathrm e}^{-\frac{{\mathrm e}^{4}}{5}} \expIntegralEi \left(1, -\frac{{\mathrm e}^{4}}{5}-\frac{{\mathrm e}^{4}}{x}\right)}{25}\right)+{\mathrm e}^{8} \left(\frac{{\mathrm e}^{\frac{{\mathrm e}^{4}}{x}} {\mathrm e}^{-4}}{25 \,{\mathrm e}^{4}+\frac{125 \,{\mathrm e}^{4}}{x}}+\frac{\left({\mathrm e}^{4}-5\right) {\mathrm e}^{-8} {\mathrm e}^{-\frac{{\mathrm e}^{4}}{5}} \expIntegralEi \left(1, -\frac{{\mathrm e}^{4}}{5}-\frac{{\mathrm e}^{4}}{x}\right)}{125}\right)-{\mathrm e}^{-4} \ln \left(\frac{{\mathrm e}^{4}}{x}\right)+5 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{\frac{{\mathrm e}^{4}}{x}} {\mathrm e}^{-8}}{25}-\frac{{\mathrm e}^{\frac{{\mathrm e}^{4}}{x}}}{125 \left({\mathrm e}^{4}+\frac{5 \,{\mathrm e}^{4}}{x}\right)}-\frac{{\mathrm e}^{-4} \left({\mathrm e}^{4}-10\right) {\mathrm e}^{-\frac{{\mathrm e}^{4}}{5}} \expIntegralEi \left(1, -\frac{{\mathrm e}^{4}}{5}-\frac{{\mathrm e}^{4}}{x}\right)}{625}\right)\right)$&$199$\\ default&$-{\mathrm e}^{4} \left({\mathrm e}^{8} \left(-\frac{{\mathrm e}^{\frac{{\mathrm e}^{4}}{x}} {\mathrm e}^{-8}}{5 \left({\mathrm e}^{4}+\frac{5 \,{\mathrm e}^{4}}{x}\right)}-\frac{{\mathrm e}^{-8} {\mathrm e}^{-\frac{{\mathrm e}^{4}}{5}} \expIntegralEi \left(1, -\frac{{\mathrm e}^{4}}{5}-\frac{{\mathrm e}^{4}}{x}\right)}{25}\right)+{\mathrm e}^{8} \left(\frac{{\mathrm e}^{\frac{{\mathrm e}^{4}}{x}} {\mathrm e}^{-4}}{25 \,{\mathrm e}^{4}+\frac{125 \,{\mathrm e}^{4}}{x}}+\frac{\left({\mathrm e}^{4}-5\right) {\mathrm e}^{-8} {\mathrm e}^{-\frac{{\mathrm e}^{4}}{5}} \expIntegralEi \left(1, -\frac{{\mathrm e}^{4}}{5}-\frac{{\mathrm e}^{4}}{x}\right)}{125}\right)-{\mathrm e}^{-4} \ln \left(\frac{{\mathrm e}^{4}}{x}\right)+5 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{\frac{{\mathrm e}^{4}}{x}} {\mathrm e}^{-8}}{25}-\frac{{\mathrm e}^{\frac{{\mathrm e}^{4}}{x}}}{125 \left({\mathrm e}^{4}+\frac{5 \,{\mathrm e}^{4}}{x}\right)}-\frac{{\mathrm e}^{-4} \left({\mathrm e}^{4}-10\right) {\mathrm e}^{-\frac{{\mathrm e}^{4}}{5}} \expIntegralEi \left(1, -\frac{{\mathrm e}^{4}}{5}-\frac{{\mathrm e}^{4}}{x}\right)}{625}\right)\right)$&$199$\\ \hline \end{longtable}"," ",0,"-exp(exp(4)/x)/(5+x)-ln(x)","A"
4237,1,50,27,0.087000," ","int((((16*x+88)*exp(x-2*ln(2))^2+5)*ln(ln(2)+I*Pi)+16*exp(x-2*ln(2))^2)/ln(ln(2)+I*Pi),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$5 x +\frac{x \,{\mathrm e}^{2 x}}{2}+\frac{\left(1+5 \ln \left(\ln \left(2\right)+i \pi \right)\right) {\mathrm e}^{2 x}}{2 \ln \left(\ln \left(2\right)+i \pi \right)}$&$50$\\ risch&$5 x +\frac{\left(8 \ln \left(i \left(-i \ln \left(2\right)+\pi \right)\right) x +40 \ln \left(i \left(-i \ln \left(2\right)+\pi \right)\right)+8\right) {\mathrm e}^{2 x}}{16 \ln \left(i \left(-i \ln \left(2\right)+\pi \right)\right)}$&$53$\\ default&$\frac{\frac{{\mathrm e}^{2 x} \ln \left(\ln \left(2\right)+i \pi \right) x}{2}+\frac{5 \,{\mathrm e}^{2 x} \ln \left(\ln \left(2\right)+i \pi \right)}{2}+5 \ln \left(\ln \left(2\right)+i \pi \right) x +\frac{{\mathrm e}^{2 x}}{2}}{\ln \left(\ln \left(2\right)+i \pi \right)}$&$74$\\ derivativedivides&$\frac{\ln \left(2\right) \ln \left(\ln \left(2\right)+i \pi \right) {\mathrm e}^{2 x}+\frac{\ln \left(\ln \left(2\right)+i \pi \right) {\mathrm e}^{2 x} \left(x -2 \ln \left(2\right)\right)}{2}+\frac{5 \,{\mathrm e}^{2 x} \ln \left(\ln \left(2\right)+i \pi \right)}{2}+5 \ln \left(\ln \left(2\right)+i \pi \right) \left(x -2 \ln \left(2\right)\right)+\frac{{\mathrm e}^{2 x}}{2}}{\ln \left(\ln \left(2\right)+i \pi \right)}$&$105$\\ \hline \end{longtable}"," ",0,"5*x+8*x*exp(x-2*ln(2))^2+8*(1+5*ln(ln(2)+I*Pi))/ln(ln(2)+I*Pi)*exp(x-2*ln(2))^2","A"
4238,1,34,19,0.533000," ","int((x^5-25*x^4+250*x^3-1250*x^2+3125*x-3061)*exp((-x^5+276*x^4-5270*x^3+38900*x^2-128625*x+160016)/(x^4-20*x^3+150*x^2-500*x+625))/(x^5-25*x^4+250*x^3-1250*x^2+3125*x-3125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-\frac{x^{5}-276 x^{4}+5270 x^{3}-38900 x^{2}+128625 x -160016}{\left(x -5\right)^{4}}}$&$34$\\ gosper&$-{\mathrm e}^{-\frac{x^{5}-276 x^{4}+5270 x^{3}-38900 x^{2}+128625 x -160016}{x^{4}-20 x^{3}+150 x^{2}-500 x +625}}$&$49$\\ norman&$\frac{500 x \,{\mathrm e}^{\frac{-x^{5}+276 x^{4}-5270 x^{3}+38900 x^{2}-128625 x +160016}{x^{4}-20 x^{3}+150 x^{2}-500 x +625}}-150 x^{2} {\mathrm e}^{\frac{-x^{5}+276 x^{4}-5270 x^{3}+38900 x^{2}-128625 x +160016}{x^{4}-20 x^{3}+150 x^{2}-500 x +625}}+20 x^{3} {\mathrm e}^{\frac{-x^{5}+276 x^{4}-5270 x^{3}+38900 x^{2}-128625 x +160016}{x^{4}-20 x^{3}+150 x^{2}-500 x +625}}-x^{4} {\mathrm e}^{\frac{-x^{5}+276 x^{4}-5270 x^{3}+38900 x^{2}-128625 x +160016}{x^{4}-20 x^{3}+150 x^{2}-500 x +625}}-625 \,{\mathrm e}^{\frac{-x^{5}+276 x^{4}-5270 x^{3}+38900 x^{2}-128625 x +160016}{x^{4}-20 x^{3}+150 x^{2}-500 x +625}}}{\left(x -5\right)^{4}}$&$263$\\ \hline \end{longtable}"," ",0,"-exp(-(x^5-276*x^4+5270*x^3-38900*x^2+128625*x-160016)/(x-5)^4)","A"
4239,1,39,25,0.030000," ","int(((2*x^2+2*x)*exp(2*x)*ln(x)^3+((4*x^3+6*x^2+x)*exp(2*x)+1)*ln(x)^2+(2*x^4+4*x^3-8*x^2-8*x)*exp(2*x)*ln(x)+(-x^3+4*x)*exp(2*x))/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{2 x} x^{3}+x^{2} {\mathrm e}^{2 x} \ln \left(x \right)+x +\frac{x^{2} {\mathrm e}^{2 x} \left(x^{2}-4\right)}{\ln \left(x \right)}$&$39$\\ \hline \end{longtable}"," ",0,"2*exp(2*x)*x^3+x^2*exp(2*x)*ln(x)+x+x^2*exp(2*x)*(x^2-4)/ln(x)","A"
4240,1,16,17,0.084000," ","int(((8*x-28)*ln(2*x-7)^2+120*x)/(2*x^2-7*x)/ln(2*x-7)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{60}{\ln \left(2 x -7\right)}+4 \ln \left(x \right)$&$16$\\ risch&$-\frac{60}{\ln \left(2 x -7\right)}+4 \ln \left(x \right)$&$16$\\ derivativedivides&$4 \ln \left(2 x \right)-\frac{60}{\ln \left(2 x -7\right)}$&$18$\\ default&$4 \ln \left(2 x \right)-\frac{60}{\ln \left(2 x -7\right)}$&$18$\\ \hline \end{longtable}"," ",0,"-60/ln(2*x-7)+4*ln(x)","A"
4241,1,81,25,0.738000," ","int((-256*x*ln(7)^6+32*(-24*x^2-12)*ln(7)^5+16*(-60*x^3-44*x-64)*ln(7)^4+8*(-80*x^4-60*x^2-224*x-64)*ln(7)^3+4*(-60*x^5-36*x^3-288*x^2-192*x)*ln(7)^2+2*(-24*x^6-8*x^4-160*x^3-192*x^2)*ln(7)-4*x^7-32*x^4-64*x^3)/(64*(x^6-27*x^4+243*x^2-729)*ln(7)^6+32*(6*x^7-144*x^5-72*x^4+1134*x^3+1296*x^2-2916*x-5832)*ln(7)^5+16*(15*x^8-318*x^6-336*x^5+2139*x^4+5184*x^3-2268*x^2-19440*x-19440)*ln(7)^4+8*(20*x^9-372*x^7-624*x^6+2040*x^5+8208*x^4+4320*x^3-23616*x^2-51840*x-34560)*ln(7)^3+4*(15*x^10-243*x^8-576*x^7+984*x^6+6432*x^5+8496*x^4-11136*x^3-51072*x^2-69120*x-34560)*ln(7)^2+2*(6*x^11-84*x^9-264*x^8+192*x^7+2496*x^6+5184*x^5-384*x^4-21504*x^3-46080*x^2-46080*x-18432)*ln(7)+x^12-12*x^10-48*x^9+384*x^7+1088*x^6+768*x^5-3072*x^4-10240*x^3-15360*x^2-12288*x-4096),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16 \ln \left(7\right)^{4}+32 \ln \left(7\right)^{3} x +24 x^{2} \ln \left(7\right)^{2}+8 \ln \left(7\right) x^{3}+x^{4}}{\left(4 x^{2} \ln \left(7\right)^{2}+4 \ln \left(7\right) x^{3}+x^{4}-36 \ln \left(7\right)^{2}-24 x \ln \left(7\right)-4 x^{2}-48 \ln \left(7\right)-16 x -16\right)^{2}}$&$81$\\ gosper&$\frac{16 \ln \left(7\right)^{4}+32 \ln \left(7\right)^{3} x +24 x^{2} \ln \left(7\right)^{2}+8 \ln \left(7\right) x^{3}+x^{4}}{256+512 x +1536 \ln \left(7\right)+x^{8}-8 x^{6}-32 x^{5}-16 x^{4}+128 x^{3}+384 x^{2}+2304 x \ln \left(7\right)+1296 \ln \left(7\right)^{4}+736 x^{2} \ln \left(7\right)^{2}+3456 \ln \left(7\right)^{2}+1152 x^{2} \ln \left(7\right)+16 \ln \left(7\right)^{4} x^{4}+32 \ln \left(7\right)^{3} x^{5}+24 \ln \left(7\right)^{2} x^{6}+8 \ln \left(7\right) x^{7}-288 \ln \left(7\right)^{4} x^{2}-480 \ln \left(7\right)^{3} x^{3}-296 \ln \left(7\right)^{2} x^{4}-80 \ln \left(7\right) x^{5}-384 \ln \left(7\right)^{3} x^{2}-512 \ln \left(7\right)^{2} x^{3}-224 \ln \left(7\right) x^{4}+1728 \ln \left(7\right)^{3} x +64 \ln \left(7\right) x^{3}+3456 \ln \left(7\right)^{2} x +3456 \ln \left(7\right)^{3}}$&$227$\\ risch&$\frac{\ln \left(7\right)^{4}+2 \ln \left(7\right)^{3} x +\frac{3 x^{2} \ln \left(7\right)^{2}}{2}+\frac{\ln \left(7\right) x^{3}}{2}+\frac{x^{4}}{16}}{16+32 x +96 \ln \left(7\right)+\frac{x^{8}}{16}-\frac{x^{6}}{2}-2 x^{5}-x^{4}+8 x^{3}+24 x^{2}+144 x \ln \left(7\right)+81 \ln \left(7\right)^{4}+46 x^{2} \ln \left(7\right)^{2}+216 \ln \left(7\right)^{2}+72 x^{2} \ln \left(7\right)+\ln \left(7\right)^{4} x^{4}+2 \ln \left(7\right)^{3} x^{5}+\frac{3 \ln \left(7\right)^{2} x^{6}}{2}+\frac{\ln \left(7\right) x^{7}}{2}-18 \ln \left(7\right)^{4} x^{2}-30 \ln \left(7\right)^{3} x^{3}-\frac{37 \ln \left(7\right)^{2} x^{4}}{2}-5 \ln \left(7\right) x^{5}-24 \ln \left(7\right)^{3} x^{2}-32 \ln \left(7\right)^{2} x^{3}-14 \ln \left(7\right) x^{4}+108 \ln \left(7\right)^{3} x +4 \ln \left(7\right) x^{3}+216 \ln \left(7\right)^{2} x +216 \ln \left(7\right)^{3}}$&$228$\\ default&$\frac{\left(-\frac{\ln \left(7\right)^{3}}{2}-\frac{\ln \left(7\right)}{4}-\frac{1}{2}\right) x^{3}+\left(-2 \ln \left(7\right)^{4}+2 \ln \left(7\right)^{3}-\frac{\ln \left(7\right)^{2}}{4}+\ln \left(7\right)+3\right) x^{2}+\left(-2 \ln \left(7\right)^{5}+10 \ln \left(7\right)^{4}+\frac{17 \ln \left(7\right)^{3}}{2}+14 \ln \left(7\right)^{2}+9 \ln \left(7\right)-2\right) x +12 \ln \left(7\right)^{5}+17 \ln \left(7\right)^{4}+24 \ln \left(7\right)^{3}+9 \ln \left(7\right)^{2}-8 \ln \left(7\right)-4}{2 \left(3 \ln \left(7\right)+2\right) \left(9 \ln \left(7\right)^{2}+12 \ln \left(7\right)+4\right) \left(2 x \ln \left(7\right)+x^{2}-6 \ln \left(7\right)-2 x -4\right)^{2}}-\frac{\left(-\frac{\ln \left(7\right)^{3}}{2}-\frac{\ln \left(7\right)}{4}-\frac{1}{2}\right) x^{3}+\left(-2 \ln \left(7\right)^{4}-2 \ln \left(7\right)^{3}-\frac{\ln \left(7\right)^{2}}{4}-\ln \left(7\right)-1\right) x^{2}+\left(-2 \ln \left(7\right)^{5}-10 \ln \left(7\right)^{4}+\frac{\ln \left(7\right)^{3}}{2}+10 \ln \left(7\right)^{2}+\ln \left(7\right)-2\right) x -12 \ln \left(7\right)^{5}+\ln \left(7\right)^{4}+24 \ln \left(7\right)^{3}+9 \ln \left(7\right)^{2}-8 \ln \left(7\right)-4}{2 \left(3 \ln \left(7\right)+2\right) \left(9 \ln \left(7\right)^{2}+12 \ln \left(7\right)+4\right) \left(2 x \ln \left(7\right)+x^{2}+6 \ln \left(7\right)+2 x +4\right)^{2}}$&$294$\\ \hline \end{longtable}"," ",0,"(16*ln(7)^4+32*ln(7)^3*x+24*x^2*ln(7)^2+8*ln(7)*x^3+x^4)/(4*x^2*ln(7)^2+4*ln(7)*x^3+x^4-36*ln(7)^2-24*x*ln(7)-4*x^2-48*ln(7)-16*x-16)^2","B"
4242,1,23,22,0.108000," ","int(((9*ln(2)-54)*exp(x)^2+((30*x-60)*ln(2)-174*x+354)*exp(x)+(25*x^2-100*x+100)*ln(2)-150*x^2+600*x-580)/((9*ln(2)-54)*exp(x)^2+((30*x-60)*ln(2)-180*x+360)*exp(x)+(25*x^2-100*x+100)*ln(2)-150*x^2+600*x-600),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{2 x}{\left(\ln \left(2\right)-6\right) \left(-10+5 x +3 \,{\mathrm e}^{x}\right)}$&$23$\\ norman&$\frac{\frac{6 \left(5 \ln \left(2\right)-29\right) {\mathrm e}^{x}}{5 \left(\ln \left(2\right)-6\right)}+5 x^{2}+3 \,{\mathrm e}^{x} x -\frac{4 \left(5 \ln \left(2\right)-29\right)}{\ln \left(2\right)-6}}{-10+5 x +3 \,{\mathrm e}^{x}}$&$54$\\ \hline \end{longtable}"," ",0,"x-2*x/(ln(2)-6)/(-10+5*x+3*exp(x))","A"
4243,1,3013,30,0.874000," ","int(((-x^3*ln(x)+x^5-x^2)*ln((x*ln(x)-x^3+1)/x)+(2*x^4-4*x^3+4*x)*ln(x)-2*x^6+6*x^5-3*x^3-3*x^2+4)/((x^4*ln(x)-x^6+x^3)*ln((x*ln(x)-x^3+1)/x)+(-x^5+4*x^4+x^3+4*x^2)*ln(x)+x^7-4*x^6-x^5-5*x^4+4*x^3+x^2+4*x)/ln((x^2*ln((x*ln(x)-x^3+1)/x)-x^3+4*x^2+x+4)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$3013$\\ \hline \end{longtable}"," ",0,"2*I/(Pi*csgn(I/x)*csgn(I*(-8*I-2*I*x+2*I*x^3-8*I*x^2+x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)^2-2*x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^3-x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)+2*I*x^2*ln(x)-2*I*ln(-x*ln(x)+x^3-1)*x^2+2*x^2*Pi))*csgn(I/x*(-8*I-2*I*x+2*I*x^3-8*I*x^2+x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)^2-2*x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^3-x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)+2*I*x^2*ln(x)-2*I*ln(-x*ln(x)+x^3-1)*x^2+2*x^2*Pi))-Pi*csgn(I/x)*csgn(I/x*(-8*I-2*I*x+2*I*x^3-8*I*x^2+x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)^2-2*x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^3-x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)+2*I*x^2*ln(x)-2*I*ln(-x*ln(x)+x^3-1)*x^2+2*x^2*Pi))^2+Pi*csgn(I/x*(-8*I-2*I*x+2*I*x^3-8*I*x^2+x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)^2-2*x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^3-x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)+2*I*x^2*ln(x)-2*I*ln(-x*ln(x)+x^3-1)*x^2+2*x^2*Pi))*csgn(1/x*(-8*I-2*I*x+2*I*x^3-8*I*x^2+x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)^2-2*x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^3-x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)+2*I*x^2*ln(x)-2*I*ln(-x*ln(x)+x^3-1)*x^2+2*x^2*Pi))+Pi*csgn(1/x*(-8*I-2*I*x+2*I*x^3-8*I*x^2+x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)^2-2*x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^3-x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)+2*I*x^2*ln(x)-2*I*ln(-x*ln(x)+x^3-1)*x^2+2*x^2*Pi))^2-Pi*csgn(I*(-8*I-2*I*x+2*I*x^3-8*I*x^2+x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)^2-2*x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^3-x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)+2*I*x^2*ln(x)-2*I*ln(-x*ln(x)+x^3-1)*x^2+2*x^2*Pi))*csgn(I/x*(-8*I-2*I*x+2*I*x^3-8*I*x^2+x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)^2-2*x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^3-x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)+2*I*x^2*ln(x)-2*I*ln(-x*ln(x)+x^3-1)*x^2+2*x^2*Pi))^2+Pi*csgn(I/x*(-8*I-2*I*x+2*I*x^3-8*I*x^2+x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)^2-2*x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^3-x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)+2*I*x^2*ln(x)-2*I*ln(-x*ln(x)+x^3-1)*x^2+2*x^2*Pi))^3-Pi*csgn(I/x*(-8*I-2*I*x+2*I*x^3-8*I*x^2+x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)^2-2*x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^3-x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)+2*I*x^2*ln(x)-2*I*ln(-x*ln(x)+x^3-1)*x^2+2*x^2*Pi))*csgn(1/x*(-8*I-2*I*x+2*I*x^3-8*I*x^2+x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)^2-2*x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^3-x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)+2*I*x^2*ln(x)-2*I*ln(-x*ln(x)+x^3-1)*x^2+2*x^2*Pi))^2-Pi*csgn(1/x*(-8*I-2*I*x+2*I*x^3-8*I*x^2+x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)^2-2*x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^3-x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)+2*I*x^2*ln(x)-2*I*ln(-x*ln(x)+x^3-1)*x^2+2*x^2*Pi))^3-Pi-2*I*ln(2)-2*I*ln(x)+2*I*ln(-8*I-2*I*x+2*I*x^3-8*I*x^2+x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)^2-2*x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^2-x^2*Pi*csgn(I*(x*ln(x)-x^3+1)/x)^3-x^2*Pi*csgn(I/x)*csgn(I*(x*ln(x)-x^3+1))*csgn(I*(x*ln(x)-x^3+1)/x)+2*I*x^2*ln(x)-2*I*ln(-x*ln(x)+x^3-1)*x^2+2*x^2*Pi))","C"
4244,1,18,22,0.121000," ","int((1-x)*ln(5)/((4*x*ln(3/4*x)-4*x^2-4*x)*ln(-ln(3/4*x)+x+1)+4*x*ln(3/4*x)-4*x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(5\right) \ln \left(\ln \left(-\ln \left(\frac{3 x}{4}\right)+x +1\right)+1\right)}{4}$&$18$\\ risch&$\frac{\ln \left(5\right) \ln \left(\ln \left(-\ln \left(\frac{3 x}{4}\right)+x +1\right)+1\right)}{4}$&$18$\\ \hline \end{longtable}"," ",0,"1/4*ln(5)*ln(ln(-ln(3/4*x)+x+1)+1)","A"
4245,1,24,23,0.096000," ","int(((-3*x^2+13)*ln(4*x^2-52/3)+(12*x^2-52)*ln(x)-30*x^2+156)/(12*x^4-52*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(4 x^{2}-\frac{52}{3}\right)}{4 x}-\frac{\ln \left(x \right)-2}{x}$&$24$\\ default&$-\frac{\ln \left(3\right)}{4 x}+\frac{\ln \left(3 x^{2}-13\right)}{4 x}+\frac{\ln \left(2\right)}{2 x}-\frac{\ln \left(x \right)}{x}+\frac{2}{x}$&$41$\\ \hline \end{longtable}"," ",0,"1/4/x*ln(4*x^2-52/3)-(ln(x)-2)/x","A"
4246,1,13,18,0.071000," ","int(((-2*exp(5*x)-2)*ln(x*exp(5*x)+x)+(-10*x-2)*exp(5*x)-2)/(exp(5*x)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 x \ln \left(x \,{\mathrm e}^{5 x}+x \right)$&$13$\\ risch&$-2 x \ln \left({\mathrm e}^{5 x}+1\right)+i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{5 x}+1\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{5 x}+1\right)\right)-i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left({\mathrm e}^{5 x}+1\right)\right)^{2}-i \pi  x \,\mathrm{csgn}\left(i \left({\mathrm e}^{5 x}+1\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{5 x}+1\right)\right)^{2}+i \pi  x \mathrm{csgn}\left(i x \left({\mathrm e}^{5 x}+1\right)\right)^{3}-2 x \ln \left(x \right)$&$117$\\ \hline \end{longtable}"," ",0,"-2*x*ln(x*exp(5*x)+x)","A"
4247,1,18,19,0.115000," ","int((-2*x-32)/(256*x*exp(3*exp(2))*ln(x)^2+(32*exp(2)*x+32*x^2)*exp(3*exp(2))*ln(x)+(x*exp(2)^2+2*x^2*exp(2)+x^3)*exp(3*exp(2))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \,{\mathrm e}^{-3 \,{\mathrm e}^{2}}}{16 \ln \left(x \right)+x +{\mathrm e}^{2}}$&$18$\\ risch&$\frac{2 \,{\mathrm e}^{-3 \,{\mathrm e}^{2}}}{16 \ln \left(x \right)+x +{\mathrm e}^{2}}$&$18$\\ \hline \end{longtable}"," ",0,"2/exp(exp(2))^3/(16*ln(x)+x+exp(2))","A"
4248,1,57,26,0.395000," ","int(((10*x^2*exp(1)*ln(4/3/x/ln(2))-5*x^2*exp(1)-15)*ln(x)+(-5*x^2*exp(1)-15)*ln(4/3/x/ln(2)))/x/exp(1)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x^{2}+\frac{5 \,{\mathrm e}^{-1} \left(4 \ln \left(2\right) {\mathrm e} x^{2}-2 x^{2} {\mathrm e} \ln \left(\ln \left(2\right)\right)-2 x^{2} {\mathrm e} \ln \left(3\right)+12 \ln \left(2\right)-6 \ln \left(\ln \left(2\right)\right)-6 \ln \left(3\right)\right)}{2 \ln \left(x \right)}$&$57$\\ \hline \end{longtable}"," ",0,"-5*x^2+5/2*exp(-1)*(4*ln(2)*exp(1)*x^2-2*x^2*exp(1)*ln(ln(2))-2*x^2*exp(1)*ln(3)+12*ln(2)-6*ln(ln(2))-6*ln(3))/ln(x)","B"
4249,1,22,26,0.051000," ","int(((-exp(x-3)+10*x-19)*exp(-exp(x-3)+x)-50*x+100)/(5*exp(-exp(x-3)+x)-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-4 x +\frac{\ln \left({\mathrm e}^{-{\mathrm e}^{x -3}+x}-5\right)}{5}$&$22$\\ norman&$x^{2}-4 x +\frac{\ln \left(5 \,{\mathrm e}^{-{\mathrm e}^{x -3}+x}-25\right)}{5}$&$24$\\ \hline \end{longtable}"," ",0,"x^2-4*x+1/5*ln(exp(-exp(x-3)+x)-5)","A"
4250,1,27,15,0.019000," ","int((20*x^8*ln(x)-100*x^8+31250*x^4)/(4*x^8*ln(x)^2+(8*x^9-32*x^8+2500*x^4)*ln(x)+4*x^10-32*x^9+64*x^8+2500*x^5-10000*x^4+390625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10 x^{5}}{2 x^{4} \ln \left(x \right)+2 x^{5}-8 x^{4}+625}$&$27$\\ \hline \end{longtable}"," ",0,"10*x^5/(2*x^4*ln(x)+2*x^5-8*x^4+625)","A"
4251,1,87,23,0.047000," ","int(((32*x^7+112*x^6+144*x^5+80*x^4+16*x^3)*ln(x)^2+(2*(32*x^3+48*x^2+16*x)*ln(2)+8*x^7+32*x^6+48*x^5-168*x^4-312*x^3-120*x^2)*ln(x)+2*(8*x^3+16*x^2+8*x-40)*ln(2)-40*x^4-80*x^3-40*x^2+200*x)*exp((x^8+4*x^7+6*x^6+4*x^5+x^4)*ln(x)^2+(2*(2*x^4+4*x^3+2*x^2)*ln(2)-10*x^5-20*x^4-10*x^3)*ln(x)+4*ln(2)^2-20*x*ln(2)+25*x^2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$1048576^{-4 x} x^{8 x^{2} \left(x +1\right)^{2} \left(2 \ln \left(2\right)-5 x \right)} {\mathrm e}^{4 x^{8} \ln \left(x \right)^{2}+16 x^{7} \ln \left(x \right)^{2}+24 x^{6} \ln \left(x \right)^{2}+16 x^{5} \ln \left(x \right)^{2}+4 x^{4} \ln \left(x \right)^{2}+16 \ln \left(2\right)^{2}+100 x^{2}}$&$87$\\ \hline \end{longtable}"," ",0,"((1/1048576)^x)^4*(x^(2*x^2*(x+1)^2*(2*ln(2)-5*x)))^4*exp(4*x^8*ln(x)^2+16*x^7*ln(x)^2+24*x^6*ln(x)^2+16*x^5*ln(x)^2+4*x^4*ln(x)^2+16*ln(2)^2+100*x^2)","B"
4252,1,30,27,0.036000," ","int(((27*x^2+110*x+45)*ln(x)^2-20*x*ln(x)+10*x)/((9*x^3+55*x^2+45*x)*ln(x)^2-10*x^2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)-\ln \left(\ln \left(x \right)\right)+\ln \left(9 x^{2} \ln \left(x \right)+55 x \ln \left(x \right)+45 \ln \left(x \right)-10 x \right)$&$30$\\ risch&$\ln \left(9 x^{3}+55 x^{2}+45 x \right)+\ln \left(\ln \left(x \right)-\frac{10 x}{9 x^{2}+55 x +45}\right)-\ln \left(\ln \left(x \right)\right)$&$41$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(ln(x))+ln(9*x^2*ln(x)+55*x*ln(x)+45*ln(x)-10*x)","A"
4253,1,18,21,0.039000," ","int(((2*x-1)*exp(x)^2+24*x^4+4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$8 x^{3}+4 x +\frac{{\mathrm e}^{2 x}}{x}$&$18$\\ risch&$8 x^{3}+4 x +\frac{{\mathrm e}^{2 x}}{x}$&$18$\\ norman&$\frac{{\mathrm e}^{2 x}+4 x^{2}+8 x^{4}}{x}$&$20$\\ \hline \end{longtable}"," ",0,"8*x^3+4*x+exp(x)^2/x","A"
4254,1,24,21,0.099000," ","int(((-2*x-6)*ln(5)^2*ln(-x^2-3*x)+(-3*x^2-13*x-9)*ln(5)^2)/((x^4+3*x^3)*ln(-x^2-3*x)^2+(2*x^5+8*x^4+6*x^3)*ln(-x^2-3*x)+x^6+5*x^5+7*x^4+3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(5\right)^{2}}{x^{2} \left(\ln \left(-x^{2}-3 x \right)+x +1\right)}$&$24$\\ risch&$\frac{\ln \left(5\right)^{2}}{x^{2} \left(\ln \left(-x^{2}-3 x \right)+x +1\right)}$&$24$\\ \hline \end{longtable}"," ",0,"ln(5)^2/x^2/(ln(-x^2-3*x)+x+1)","A"
4255,1,29,27,0.085000," ","int((x^4-11*x^3+35*x^2-5*x-50)*exp((2*x^2-10*x-10)/(x^2-5*x))*exp(x-5)*exp(exp((2*x^2-10*x-10)/(x^2-5*x))*exp(x-5)/x)/(x^5-10*x^4+25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{\frac{x^{3}-8 x^{2}+15 x -10}{\left(x -5\right) x}}}{x}}$&$29$\\ \hline \end{longtable}"," ",0,"exp(1/x*exp((x^3-8*x^2+15*x-10)/(x-5)/x))","A"
4256,1,56,25,0.382000," ","int((((-10*exp(x)*x^2-5*x)*ln(ln(2))-10*exp(x)*x)*ln(((2*exp(x)*x^2+x)*ln(ln(2))+2*exp(x)*x)/ln(ln(2)))+((-10*x^3+20*x^2+80*x)*exp(x)-5*x+20)*ln(ln(2))+(-10*x^2+30*x+40)*exp(x))/((2*exp(x)*x^2+x)*ln(ln(2))+2*exp(x)*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$20 \ln \left(-x \left(2 \,{\mathrm e}^{x} \ln \left(\ln \left(2\right)\right) x +2 \,{\mathrm e}^{x}+\ln \left(\ln \left(2\right)\right)\right)\right)+5 \ln \left(-\ln \left(\ln \left(2\right)\right)\right) x -5 x \ln \left(-x \left(2 \,{\mathrm e}^{x} \ln \left(\ln \left(2\right)\right) x +2 \,{\mathrm e}^{x}+\ln \left(\ln \left(2\right)\right)\right)\right)$&$56$\\ norman&$20 \ln \left(\frac{\left(2 \,{\mathrm e}^{x} x^{2}+x \right) \ln \left(\ln \left(2\right)\right)+2 \,{\mathrm e}^{x} x}{\ln \left(\ln \left(2\right)\right)}\right)-5 x \ln \left(\frac{\left(2 \,{\mathrm e}^{x} x^{2}+x \right) \ln \left(\ln \left(2\right)\right)+2 \,{\mathrm e}^{x} x}{\ln \left(\ln \left(2\right)\right)}\right)$&$59$\\ risch&$-5 x \ln \left(\left({\mathrm e}^{x} x +\frac{1}{2}\right) \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)-5 x \ln \left(x \right)+\frac{5 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\left({\mathrm e}^{x} x +\frac{1}{2}\right) \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(i x \left(\left({\mathrm e}^{x} x +\frac{1}{2}\right) \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)\right)}{2}-\frac{5 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\left({\mathrm e}^{x} x +\frac{1}{2}\right) \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)\right)^{2}}{2}-\frac{5 i \pi  x \,\mathrm{csgn}\left(i \left(\left({\mathrm e}^{x} x +\frac{1}{2}\right) \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(i x \left(\left({\mathrm e}^{x} x +\frac{1}{2}\right) \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)\right)^{2}}{2}+5 i \pi  x \mathrm{csgn}\left(i x \left(\left({\mathrm e}^{x} x +\frac{1}{2}\right) \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)\right)^{2}-\frac{5 i \pi  x \mathrm{csgn}\left(i x \left(\left({\mathrm e}^{x} x +\frac{1}{2}\right) \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{x}\right)\right)^{3}}{2}-5 i \pi  x -5 x \ln \left(2\right)+5 \ln \left(-\ln \left(\ln \left(2\right)\right)\right) x +20 \ln \left(x^{2} \ln \left(\ln \left(2\right)\right)+x \right)+20 \ln \left({\mathrm e}^{x}+\frac{\ln \left(\ln \left(2\right)\right)}{2 x \ln \left(\ln \left(2\right)\right)+2}\right)$&$242$\\ \hline \end{longtable}"," ",0,"20*ln(-x*(2*exp(x)*ln(ln(2))*x+2*exp(x)+ln(ln(2))))+5*ln(-ln(ln(2)))*x-5*x*ln(-x*(2*exp(x)*ln(ln(2))*x+2*exp(x)+ln(ln(2))))","B"
4257,1,381,26,1.092000," ","int(((4*exp(x)*x+4*x+1)*ln(x)*exp(4*exp(x)+4*x)*ln(3/2/ln(2)/ln(x))^4-4*exp(4*exp(x)+4*x)*ln(3/2/ln(2)/ln(x))^3)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{4 \,{\mathrm e}^{x}+4 x} x \ln \left(\ln \left(x \right)\right)^{4}+2 \left(2 x \ln \left(2\right)-2 x \ln \left(3\right)+2 x \ln \left(\ln \left(2\right)\right)\right) {\mathrm e}^{4 \,{\mathrm e}^{x}+4 x} \ln \left(\ln \left(x \right)\right)^{3}+\frac{3 \left(4 x \ln \left(2\right)^{2}+4 x \ln \left(3\right)^{2}+4 x \ln \left(\ln \left(2\right)\right)^{2}-8 x \ln \left(2\right) \ln \left(3\right)+8 \ln \left(2\right) \ln \left(\ln \left(2\right)\right) x -8 \ln \left(3\right) \ln \left(\ln \left(2\right)\right) x \right) {\mathrm e}^{4 \,{\mathrm e}^{x}+4 x} \ln \left(\ln \left(x \right)\right)^{2}}{2}+\frac{\left(24 x \ln \left(2\right) \ln \left(3\right)^{2}-8 x \ln \left(3\right)^{3}+8 x \ln \left(2\right)^{3}+8 \ln \left(\ln \left(2\right)\right)^{3} x -48 \ln \left(2\right) \ln \left(3\right) \ln \left(\ln \left(2\right)\right) x +24 \ln \left(3\right)^{2} \ln \left(\ln \left(2\right)\right) x -24 \ln \left(3\right) \ln \left(\ln \left(2\right)\right)^{2} x -24 \ln \left(2\right)^{2} \ln \left(3\right) x +24 \ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right) x +24 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)^{2} x \right) {\mathrm e}^{4 \,{\mathrm e}^{x}+4 x} \ln \left(\ln \left(x \right)\right)}{2}+\frac{\left(-64 x \ln \left(3\right) \ln \left(2\right)^{3}+16 x \ln \left(2\right)^{4}+16 x \ln \left(3\right)^{4}+16 \ln \left(\ln \left(2\right)\right)^{4} x -192 \ln \left(2\right)^{2} \ln \left(3\right) \ln \left(\ln \left(2\right)\right) x +192 \ln \left(2\right) \ln \left(3\right)^{2} \ln \left(\ln \left(2\right)\right) x -192 \ln \left(2\right) \ln \left(3\right) \ln \left(\ln \left(2\right)\right)^{2} x +64 \ln \left(2\right)^{3} \ln \left(\ln \left(2\right)\right) x +96 \ln \left(2\right)^{2} \ln \left(3\right)^{2} x +96 \ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)^{2} x -64 \ln \left(2\right) \ln \left(3\right)^{3} x +64 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)^{3} x -64 \ln \left(3\right)^{3} \ln \left(\ln \left(2\right)\right) x +96 \ln \left(3\right)^{2} \ln \left(\ln \left(2\right)\right)^{2} x -64 \ln \left(3\right) \ln \left(\ln \left(2\right)\right)^{3} x \right) {\mathrm e}^{4 \,{\mathrm e}^{x}+4 x}}{16}$&$381$\\ \hline \end{longtable}"," ",0,"exp(4*exp(x)+4*x)*x*ln(ln(x))^4+2*(2*x*ln(2)-2*x*ln(3)+2*x*ln(ln(2)))*exp(4*exp(x)+4*x)*ln(ln(x))^3+3/2*(4*x*ln(2)^2+4*x*ln(3)^2+4*x*ln(ln(2))^2-8*x*ln(2)*ln(3)+8*ln(2)*ln(ln(2))*x-8*ln(3)*ln(ln(2))*x)*exp(4*exp(x)+4*x)*ln(ln(x))^2+1/2*(24*x*ln(2)*ln(3)^2-8*x*ln(3)^3+8*x*ln(2)^3+8*ln(ln(2))^3*x-48*ln(2)*ln(3)*ln(ln(2))*x+24*ln(3)^2*ln(ln(2))*x-24*ln(3)*ln(ln(2))^2*x-24*ln(2)^2*ln(3)*x+24*ln(2)^2*ln(ln(2))*x+24*ln(2)*ln(ln(2))^2*x)*exp(4*exp(x)+4*x)*ln(ln(x))+1/16*(-64*x*ln(3)*ln(2)^3+16*x*ln(2)^4+16*x*ln(3)^4+16*ln(ln(2))^4*x-192*ln(2)^2*ln(3)*ln(ln(2))*x+192*ln(2)*ln(3)^2*ln(ln(2))*x-192*ln(2)*ln(3)*ln(ln(2))^2*x+64*ln(2)^3*ln(ln(2))*x+96*ln(2)^2*ln(3)^2*x+96*ln(2)^2*ln(ln(2))^2*x-64*ln(2)*ln(3)^3*x+64*ln(2)*ln(ln(2))^3*x-64*ln(3)^3*ln(ln(2))*x+96*ln(3)^2*ln(ln(2))^2*x-64*ln(3)*ln(ln(2))^3*x)*exp(4*exp(x)+4*x)","B"
4258,1,21,23,0.052000," ","int(1/2*((-8*x^2*ln(5)^2*ln(x)^4-16*x^2*ln(5)^2*ln(x)^3)*exp(1/exp(x^2*ln(5)^2*ln(x)^4)^2)+exp(x^2*ln(5)^2*ln(x)^4)^2)/x/exp(x^2*ln(5)^2*ln(x)^4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{2}+{\mathrm e}^{{\mathrm e}^{-2 x^{2} \ln \left(5\right)^{2} \ln \left(x \right)^{4}}}$&$21$\\ \hline \end{longtable}"," ",0,"1/2*ln(x)+exp(exp(-2*x^2*ln(5)^2*ln(x)^4))","A"
4259,1,46,30,0.244000," ","int(((-x*ln(1/4*x)^3*ln(x)+((1-x)*ln(3)+2*x^2+3*x-5)*ln(1/4*x)^3)*exp(exp(4/ln(1/4*x)^2))+8*x*exp(4/ln(1/4*x)^2)+x*ln(1/4*x)^3)/x/ln(1/4*x)^3/exp(exp(4/ln(1/4*x)^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(x \right)+\ln \left(3\right) \ln \left(x \right)-x \ln \left(3\right)+x^{2}-5 \ln \left(x \right)+4 x +x \,{\mathrm e}^{-{\mathrm e}^{\frac{4}{\left(2 \ln \left(2\right)-\ln \left(x \right)\right)^{2}}}}$&$46$\\ \hline \end{longtable}"," ",0,"-x*ln(x)+ln(3)*ln(x)-x*ln(3)+x^2-5*ln(x)+4*x+x*exp(-exp(4/(2*ln(2)-ln(x))^2))","A"
4260,1,155,24,0.252000," ","int((8*exp(x)*ln(ln(3))*exp(exp(x))*ln(exp(exp(x))^2-10*exp(exp(x))+25)^3+24*exp(x)*ln(ln(3))*exp(exp(x))*ln(exp(exp(x))^2-10*exp(exp(x))+25)+ln(ln(3))*exp(exp(x))-5*ln(ln(3)))/(exp(exp(x))-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$24 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2} \ln \left(\ln \left(3\right)\right) \left(\ln \left(\left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)-2 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{2}+24 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2} \ln \left(\ln \left(3\right)\right)+8 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right) \ln \left(\ln \left(3\right)\right) \left(\ln \left(\left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)-2 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{3}+24 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right) \ln \left(\ln \left(3\right)\right) \left(\ln \left(\left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)-2 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)+16 \ln \left(\ln \left(3\right)\right) \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{4}+32 \ln \left(\ln \left(3\right)\right) \left(\ln \left(\left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)-2 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right) \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{3}+\ln \left(\ln \left(3\right)\right) \ln \left({\mathrm e}^{x}\right)$&$155$\\ default&$24 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2} \ln \left(\ln \left(3\right)\right) \left(\ln \left(\left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)-2 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{2}+24 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2} \ln \left(\ln \left(3\right)\right)+8 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right) \ln \left(\ln \left(3\right)\right) \left(\ln \left(\left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)-2 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{3}+24 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right) \ln \left(\ln \left(3\right)\right) \left(\ln \left(\left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)-2 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)+16 \ln \left(\ln \left(3\right)\right) \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{4}+32 \ln \left(\ln \left(3\right)\right) \left(\ln \left(\left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)-2 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right) \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{3}+\ln \left(\ln \left(3\right)\right) \ln \left({\mathrm e}^{x}\right)$&$155$\\ risch&$16 \ln \left(\ln \left(3\right)\right) \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{4}-16 i \ln \left(\ln \left(3\right)\right) \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right) \left(\mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{2}-2 \,\mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)+\mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)^{2}\right) \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{3}+\left(-6 \pi^{2} \ln \left(\ln \left(3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{4} \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)^{2}+24 \pi^{2} \ln \left(\ln \left(3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{3} \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)^{3}-36 \pi^{2} \ln \left(\ln \left(3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)^{4}+24 \pi^{2} \ln \left(\ln \left(3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)^{5}-6 \pi^{2} \ln \left(\ln \left(3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)^{6}+24 \ln \left(\ln \left(3\right)\right)\right) \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}+i \pi^{3} \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right) \ln \left(\ln \left(3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{6} \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)^{3}-6 i \pi^{3} \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right) \ln \left(\ln \left(3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{5} \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)^{4}+15 i \pi^{3} \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right) \ln \left(\ln \left(3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{4} \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)^{5}-20 i \pi^{3} \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right) \ln \left(\ln \left(3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{3} \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)^{6}+15 i \pi^{3} \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right) \ln \left(\ln \left(3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)^{7}-6 i \pi^{3} \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right) \ln \left(\ln \left(3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)^{8}+i \pi^{3} \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right) \ln \left(\ln \left(3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)^{9}-12 i \pi  \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right) \ln \left(\ln \left(3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)+24 i \pi  \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right) \ln \left(\ln \left(3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)^{2}-12 i \pi  \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right) \ln \left(\ln \left(3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)^{3}+\ln \left(\ln \left(3\right)\right) x$&$611$\\ \hline \end{longtable}"," ",0,"24*ln(exp(exp(x))-5)^2*ln(ln(3))*(ln((exp(exp(x))-5)^2)-2*ln(exp(exp(x))-5))^2+24*ln(exp(exp(x))-5)^2*ln(ln(3))+8*ln(exp(exp(x))-5)*ln(ln(3))*(ln((exp(exp(x))-5)^2)-2*ln(exp(exp(x))-5))^3+24*ln(exp(exp(x))-5)*ln(ln(3))*(ln((exp(exp(x))-5)^2)-2*ln(exp(exp(x))-5))+16*ln(ln(3))*ln(exp(exp(x))-5)^4+32*ln(ln(3))*(ln((exp(exp(x))-5)^2)-2*ln(exp(exp(x))-5))*ln(exp(exp(x))-5)^3+ln(ln(3))*ln(exp(x))","B"
4261,1,19,25,0.028000," ","int(((x^4-2*x^3+5*x^2-4*x+4)*ln(x)+x^4-2*x^3+6*x^2-4*x+2)/(x^4-2*x^3+5*x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{x^{2}-x +2}+x \ln \left(x \right)$&$19$\\ risch&$-\frac{x}{x^{2}-x +2}+x \ln \left(x \right)$&$19$\\ norman&$\frac{x^{3} \ln \left(x \right)-x +2 x \ln \left(x \right)-x^{2} \ln \left(x \right)}{x^{2}-x +2}$&$34$\\ \hline \end{longtable}"," ",0,"-x/(x^2-x+2)+x*ln(x)","A"
4262,1,49,26,0.121000," ","int(((12*x^5-12*x^4-1728*x+1728)*ln(-x^3+x^2)+8*x^5-2*x^4+342*x^3-228*x^2+4032*x-3168)/(x^4-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 \left(x^{4}+144\right) \ln \left(-x^{3}+x^{2}\right)}{x^{2}}+\frac{-5 x^{4}+228 x^{2} \ln \left(x \right)+114 \ln \left(x -1\right) x^{2}-720}{x^{2}}$&$49$\\ default&$6 \ln \left(-x^{3}+x^{2}\right) x^{2}-5 x^{2}+114 \ln \left(x -1\right)+\frac{864 \ln \left(-x^{3}+x^{2}\right)}{x^{2}}-\frac{720}{x^{2}}+228 \ln \left(x \right)$&$52$\\ norman&$\frac{-720+114 \ln \left(-x^{3}+x^{2}\right) x^{2}-5 x^{4}+6 \ln \left(-x^{3}+x^{2}\right) x^{4}+864 \ln \left(-x^{3}+x^{2}\right)}{x^{2}}$&$54$\\ \hline \end{longtable}"," ",0,"6*(x^4+144)/x^2*ln(-x^3+x^2)+(-5*x^4+228*x^2*ln(x)+114*ln(x-1)*x^2-720)/x^2","A"
4263,1,31,29,0.299000," ","int(((-2*exp(1/4*x)^2-8*x+4)*exp(x)^2+((4*x+2)*exp(1/4*x)^2+20*x^2-20*x-4)*exp(x)+(-2*x^2+2*x-4)*exp(1/4*x)^2-8*x^3+8*x^2+8)*exp(((-4*exp(1/4*x)^2-4*x^2+4*x+8)*exp(x)+(4*x-4)*exp(1/4*x)^2+4*x^3-8*x^2-4*x+8)/(exp(x)-x))/(exp(x)^2-2*exp(x)*x+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{4 \left(x^{2}+{\mathrm e}^{\frac{x}{2}}-x -2\right) \left(1+{\mathrm e}^{x}-x \right)}{{\mathrm e}^{x}-x}}$&$31$\\ \hline \end{longtable}"," ",0,"exp(-4*(x^2+exp(1/2*x)-x-2)*(1+exp(x)-x)/(exp(x)-x))","A"
4264,1,13,19,0.032000," ","int((-2*exp(2*x)*x^3-3*x^2)*exp(exp(2*x))+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -x^{3} {\mathrm e}^{{\mathrm e}^{2 x}}$&$13$\\ norman&$x -x^{3} {\mathrm e}^{{\mathrm e}^{2 x}}$&$13$\\ risch&$x -x^{3} {\mathrm e}^{{\mathrm e}^{2 x}}$&$13$\\ \hline \end{longtable}"," ",0,"x-x^3*exp(exp(2*x))","A"
4265,1,380,30,0.208000," ","int(((27*x^2-36*x+30)*ln(x)^2+(-27*x^2+63*x-12)*ln(x)+54*x-36)/((9*x^3-21*x^2+10*x)*ln(x)^2+(-9*x^2+6*x)*ln(x))/ln((9*x-6)*ln(x)^2/((3*x^2-5*x)*ln(x)-3*x))/ln(ln((9*x-6)*ln(x)^2/((3*x^2-5*x)*ln(x)-3*x)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{\ln \left(\ln \left(3\right)-\ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)+\ln \left(x -\frac{2}{3}\right)-\ln \left(x \ln \left(x \right)-\frac{5 \ln \left(x \right)}{3}-1\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(x -\frac{2}{3}\right)}{x \ln \left(x \right)-\frac{5 \ln \left(x \right)}{3}-1}\right) \left(-\mathrm{csgn}\left(\frac{i \left(x -\frac{2}{3}\right)}{x \ln \left(x \right)-\frac{5 \ln \left(x \right)}{3}-1}\right)+\mathrm{csgn}\left(i \left(x -\frac{2}{3}\right)\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(x -\frac{2}{3}\right)}{x \ln \left(x \right)-\frac{5 \ln \left(x \right)}{3}-1}\right)+\mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)-\frac{5 \ln \left(x \right)}{3}-1}\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \left(-\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)+\mathrm{csgn}\left(i \ln \left(x \right)\right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \ln \left(x \right)^{2} \left(x -\frac{2}{3}\right)}{x \ln \left(x \right)-\frac{5 \ln \left(x \right)}{3}-1}\right) \left(-\mathrm{csgn}\left(\frac{i \ln \left(x \right)^{2} \left(x -\frac{2}{3}\right)}{x \ln \left(x \right)-\frac{5 \ln \left(x \right)}{3}-1}\right)+\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \ln \left(x \right)^{2} \left(x -\frac{2}{3}\right)}{x \ln \left(x \right)-\frac{5 \ln \left(x \right)}{3}-1}\right)+\mathrm{csgn}\left(\frac{i \left(x -\frac{2}{3}\right)}{x \ln \left(x \right)-\frac{5 \ln \left(x \right)}{3}-1}\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(x -\frac{2}{3}\right) \ln \left(x \right)^{2}}{x \left(x \ln \left(x \right)-\frac{5 \ln \left(x \right)}{3}-1\right)}\right) \left(-\mathrm{csgn}\left(\frac{i \left(x -\frac{2}{3}\right) \ln \left(x \right)^{2}}{x \left(x \ln \left(x \right)-\frac{5 \ln \left(x \right)}{3}-1\right)}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(x -\frac{2}{3}\right) \ln \left(x \right)^{2}}{x \left(x \ln \left(x \right)-\frac{5 \ln \left(x \right)}{3}-1\right)}\right)+\mathrm{csgn}\left(\frac{i \ln \left(x \right)^{2} \left(x -\frac{2}{3}\right)}{x \ln \left(x \right)-\frac{5 \ln \left(x \right)}{3}-1}\right)\right)}{2}\right)}$&$380$\\ \hline \end{longtable}"," ",0,"3/ln(ln(3)-ln(x)+2*ln(ln(x))+ln(x-2/3)-ln(x*ln(x)-5/3*ln(x)-1)-1/2*I*Pi*csgn(I*(x-2/3)/(x*ln(x)-5/3*ln(x)-1))*(-csgn(I*(x-2/3)/(x*ln(x)-5/3*ln(x)-1))+csgn(I*(x-2/3)))*(-csgn(I*(x-2/3)/(x*ln(x)-5/3*ln(x)-1))+csgn(I/(x*ln(x)-5/3*ln(x)-1)))-1/2*I*Pi*csgn(I*ln(x)^2)*(-csgn(I*ln(x)^2)+csgn(I*ln(x)))^2-1/2*I*Pi*csgn(I*ln(x)^2/(x*ln(x)-5/3*ln(x)-1)*(x-2/3))*(-csgn(I*ln(x)^2/(x*ln(x)-5/3*ln(x)-1)*(x-2/3))+csgn(I*ln(x)^2))*(-csgn(I*ln(x)^2/(x*ln(x)-5/3*ln(x)-1)*(x-2/3))+csgn(I*(x-2/3)/(x*ln(x)-5/3*ln(x)-1)))-1/2*I*Pi*csgn(I/x/(x*ln(x)-5/3*ln(x)-1)*(x-2/3)*ln(x)^2)*(-csgn(I/x/(x*ln(x)-5/3*ln(x)-1)*(x-2/3)*ln(x)^2)+csgn(I/x))*(-csgn(I/x/(x*ln(x)-5/3*ln(x)-1)*(x-2/3)*ln(x)^2)+csgn(I*ln(x)^2/(x*ln(x)-5/3*ln(x)-1)*(x-2/3))))","C"
4266,1,15,21,0.030000," ","int((-3*exp(3)*ln(5)+5*x^2)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{3} \ln \left(5\right)}{x^{3}}-\frac{5}{x}$&$15$\\ gosper&$\frac{{\mathrm e}^{3} \ln \left(5\right)-5 x^{2}}{x^{3}}$&$16$\\ norman&$\frac{{\mathrm e}^{3} \ln \left(5\right)-5 x^{2}}{x^{3}}$&$16$\\ risch&$\frac{{\mathrm e}^{3} \ln \left(5\right)-5 x^{2}}{x^{3}}$&$16$\\ \hline \end{longtable}"," ",0,"exp(3)*ln(5)/x^3-5/x","A"
4267,1,15,18,0.021000," ","int(-2*ln(1/20*ln(16/25))+14/3*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(-7 x +6 \ln \left(\frac{\ln \left(\frac{16}{25}\right)}{20}\right)\right)}{3}$&$15$\\ default&$-2 \ln \left(\frac{\ln \left(\frac{16}{25}\right)}{20}\right) x +\frac{7 x^{2}}{3}$&$15$\\ risch&$-2 \ln \left(\frac{\ln \left(2\right)}{5}-\frac{\ln \left(5\right)}{10}\right) x +\frac{7 x^{2}}{3}$&$20$\\ norman&$\left(-2 i \pi -2 \ln \left(-\ln \left(\frac{16}{25}\right)\right)+2 \ln \left(20\right)\right) x +\frac{7 x^{2}}{3}$&$25$\\ \hline \end{longtable}"," ",0,"-1/3*x*(-7*x+6*ln(1/20*ln(16/25)))","A"
4268,1,19,19,0.089000," ","int(1/5*((x+1)*exp(-x-23)-40*x^9+5*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{8}+x -\frac{{\mathrm e}^{-x -23}}{5 x}$&$19$\\ norman&$\frac{x^{2}-x^{9}-\frac{{\mathrm e}^{-x -23}}{5}}{x}$&$22$\\ derivativedivides&$27238603577 x +626487882271-360435208 \left(-x -23\right)^{3}-19588870 \left(-x -23\right)^{4}-681352 \left(-x -23\right)^{5}-14812 \left(-x -23\right)^{6}-184 \left(-x -23\right)^{7}-\left(-x -23\right)^{8}-4145004892 \left(-x -23\right)^{2}-\frac{{\mathrm e}^{-x -23}}{5 x}$&$80$\\ default&$27238603577 x +626487882271-360435208 \left(-x -23\right)^{3}-19588870 \left(-x -23\right)^{4}-681352 \left(-x -23\right)^{5}-14812 \left(-x -23\right)^{6}-184 \left(-x -23\right)^{7}-\left(-x -23\right)^{8}-4145004892 \left(-x -23\right)^{2}-\frac{{\mathrm e}^{-x -23}}{5 x}$&$80$\\ \hline \end{longtable}"," ",0,"-x^8+x-1/5*exp(-x-23)/x","A"
4269,1,25,22,0.021000," ","int(1/2*((2*x^5+6*x^4)*ln(x)^2+4*x^5*ln(x)+9*x^6-6*x-40)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(x \right)^{2}+\ln \left(x \right)^{3}+\frac{9 x^{2}}{4}+\frac{1}{x^{3}}+\frac{5}{x^{4}}$&$25$\\ risch&$\ln \left(x \right)^{3}+x \ln \left(x \right)^{2}+\frac{9 x^{6}+4 x +20}{4 x^{4}}$&$27$\\ norman&$\frac{5+x +x^{4} \ln \left(x \right)^{3}+x^{5} \ln \left(x \right)^{2}+\frac{9 x^{6}}{4}}{x^{4}}$&$29$\\ \hline \end{longtable}"," ",0,"x*ln(x)^2+ln(x)^3+9/4*x^2+1/x^3+5/x^4","A"
4270,1,50,22,0.060000," ","int(((-2*x-1)*ln(3)^2+((2*x^2-8)*ln(2)+2*x^2-8)*ln(3)+(x^2+8*x)*ln(2)^2+(2*x^2+16*x)*ln(2)+x^2+8*x)/(x^4+2*x^3+9*x^2+8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-2 \ln \left(2\right) \ln \left(3\right)-\ln \left(2\right)^{2}-2 \ln \left(3\right)-2 \ln \left(2\right)-1\right) x -4-4 \ln \left(2\right)^{2}+\ln \left(3\right)^{2}-8 \ln \left(2\right)}{x^{2}+x +4}$&$50$\\ risch&$\frac{\left(-2 \ln \left(2\right) \ln \left(3\right)-\ln \left(2\right)^{2}-2 \ln \left(3\right)-2 \ln \left(2\right)-1\right) x -4-4 \ln \left(2\right)^{2}+\ln \left(3\right)^{2}-8 \ln \left(2\right)}{x^{2}+x +4}$&$50$\\ default&$-\frac{4+\left(2 \ln \left(2\right) \ln \left(3\right)+\ln \left(2\right)^{2}+2 \ln \left(3\right)+2 \ln \left(2\right)+1\right) x -\ln \left(3\right)^{2}+4 \ln \left(2\right)^{2}+8 \ln \left(2\right)}{x^{2}+x +4}$&$51$\\ gosper&$\frac{-2 x \ln \left(2\right) \ln \left(3\right)-x \ln \left(2\right)^{2}+\ln \left(3\right)^{2}-2 x \ln \left(3\right)-4 \ln \left(2\right)^{2}-2 x \ln \left(2\right)-8 \ln \left(2\right)-x -4}{x^{2}+x +4}$&$53$\\ \hline \end{longtable}"," ",0,"((-2*ln(2)*ln(3)-ln(2)^2-2*ln(3)-2*ln(2)-1)*x-4-4*ln(2)^2+ln(3)^2-8*ln(2))/(x^2+x+4)","B"
4271,1,67,24,0.046000," ","int((((2*x^2-6*x+4)*ln(x)-4*x^4+12*x^3-6*x^2-6*x+4)*ln(x^2-3*x+2)+(8*x^3-8*x^2-6*x)*ln(x)-8*x^4+8*x^3+20*x^2-42*x+28)/(4*x^4-8*x^3-3*x^2+5*x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(4 x^{2}-4 x \ln \left(x \right)+2 x +1\right) \ln \left(x^{2}-3 x +2\right)}{2 \left(2 x +1\right)}+\frac{2 \ln \left(x^{2}-3 x +2\right) x +\ln \left(x^{2}-3 x +2\right)-14}{4 x +2}$&$67$\\ \hline \end{longtable}"," ",0,"-1/2*(4*x^2-4*x*ln(x)+2*x+1)/(2*x+1)*ln(x^2-3*x+2)+1/2*(2*ln(x^2-3*x+2)*x+ln(x^2-3*x+2)-14)/(2*x+1)","B"
4272,1,13,15,0.021000," ","int((x^2-4*x+24)/(x^3-6*x^2+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(2+x \right)-\frac{4}{x -4}$&$13$\\ norman&$\ln \left(2+x \right)-\frac{4}{x -4}$&$13$\\ risch&$\ln \left(2+x \right)-\frac{4}{x -4}$&$13$\\ \hline \end{longtable}"," ",0,"ln(2+x)-4/(x-4)","A"
4273,1,16,22,0.103000," ","int(((-625*x^2-100*x-4)*ln(3)-250)/(625*x^2+100*x+4)/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{2}{5 \ln \left(3\right) \left(x +\frac{2}{25}\right)}$&$16$\\ default&$\frac{-x \ln \left(3\right)+\frac{10}{25 x +2}}{\ln \left(3\right)}$&$21$\\ gosper&$-\frac{x \left(25 x \ln \left(3\right)+2 \ln \left(3\right)+125\right)}{\ln \left(3\right) \left(25 x +2\right)}$&$26$\\ meijerg&$-\frac{125 x}{2 \ln \left(3\right) \left(1+\frac{25 x}{2}\right)}-\frac{x \left(\frac{75 x}{2}+6\right)}{3 \left(1+\frac{25 x}{2}\right)}+\frac{x}{1+\frac{25 x}{2}}$&$40$\\ \hline \end{longtable}"," ",0,"-x+2/5/ln(3)/(x+2/25)","A"
4274,1,10,15,0.041000," ","int((-2*x*exp(2)*ln(x)+(4-2*x)*exp(2))*exp((x-2)*ln(x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \,{\mathrm e}^{2} x^{x -2}$&$10$\\ norman&$-2 \,{\mathrm e}^{2} {\mathrm e}^{\left(x -2\right) \ln \left(x \right)}$&$12$\\ \hline \end{longtable}"," ",0,"-2*exp(2)*x^(x-2)","A"
4275,1,16,15,0.030000," ","int((x^2+7*x+5)*exp(-9*exp(5)^2+5+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left(5+x \right) x \,{\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x}$&$16$\\ risch&$\left(x^{2}+5 x \right) {\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x}$&$17$\\ norman&$x^{2} {\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x}+5 x \,{\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x}$&$29$\\ meijerg&$-{\mathrm e}^{-9 \,{\mathrm e}^{10}+5} \left(2-\frac{\left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}}{3}\right)+7 \,{\mathrm e}^{-9 \,{\mathrm e}^{10}+5} \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)-5 \,{\mathrm e}^{-9 \,{\mathrm e}^{10}+5} \left(1-{\mathrm e}^{x}\right)$&$62$\\ derivativedivides&${\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x} \left(-9 \,{\mathrm e}^{10}+5+x \right)^{2}-5 \,{\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x} \left(-9 \,{\mathrm e}^{10}+5+x \right)-27 \,{\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x} {\mathrm e}^{10}+81 \,{\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x} {\mathrm e}^{20}+18 \,{\mathrm e}^{10} \left({\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x} \left(-9 \,{\mathrm e}^{10}+5+x \right)-{\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x}\right)$&$116$\\ default&${\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x} \left(-9 \,{\mathrm e}^{10}+5+x \right)^{2}-5 \,{\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x} \left(-9 \,{\mathrm e}^{10}+5+x \right)-27 \,{\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x} {\mathrm e}^{10}+81 \,{\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x} {\mathrm e}^{20}+18 \,{\mathrm e}^{10} \left({\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x} \left(-9 \,{\mathrm e}^{10}+5+x \right)-{\mathrm e}^{-9 \,{\mathrm e}^{10}+5+x}\right)$&$116$\\ \hline \end{longtable}"," ",0,"(5+x)*x*exp(-9*exp(5)^2+5+x)","A"
4276,1,27,29,0.471000," ","int((((x^3+5*x^2)*exp(1)+2*x^4+10*x^3-x^2)*exp(x*exp(1)+x^2)-x^2-6*x-15)*exp((-x^2-5*x)/(x*exp(x*exp(1)+x^2)-x^2-4*x+3))/(x^2*exp(x*exp(1)+x^2)^2+(-2*x^3-8*x^2+6*x)*exp(x*exp(1)+x^2)+x^4+8*x^3+10*x^2-24*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(5+x \right) x}{-x \,{\mathrm e}^{x \left(x +{\mathrm e}\right)}+x^{2}+4 x -3}}$&$27$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{-x^{2}-5 x}{x \,{\mathrm e}^{x \,{\mathrm e}+x^{2}}-x^{2}-4 x +3}}+4 x \,{\mathrm e}^{\frac{-x^{2}-5 x}{x \,{\mathrm e}^{x \,{\mathrm e}+x^{2}}-x^{2}-4 x +3}}-x \,{\mathrm e}^{x \,{\mathrm e}+x^{2}} {\mathrm e}^{\frac{-x^{2}-5 x}{x \,{\mathrm e}^{x \,{\mathrm e}+x^{2}}-x^{2}-4 x +3}}-3 \,{\mathrm e}^{\frac{-x^{2}-5 x}{x \,{\mathrm e}^{x \,{\mathrm e}+x^{2}}-x^{2}-4 x +3}}}{x^{2}-x \,{\mathrm e}^{x \,{\mathrm e}+x^{2}}+4 x -3}$&$182$\\ \hline \end{longtable}"," ",0,"exp((5+x)*x/(-x*exp(x*(x+exp(1)))+x^2+4*x-3))","A"
4277,1,173,28,0.221000," ","int((((1-exp(x))*ln(x)+(-exp(4)-x^2-8*x-9)*exp(x)+exp(4)+x^2+8*x+9)*ln(x/(ln(x)+exp(4)+x^2+8*x+9))^2+(ln(x)+exp(4)+x^2+8*x+9)*ln(x/(ln(x)+exp(4)+x^2+8*x+9))-ln(x)-exp(4)+x^2-8)/(ln(x)+exp(4)+x^2+8*x+9)/ln(x/(ln(x)+exp(4)+x^2+8*x+9))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -{\mathrm e}^{x}+\frac{2 i x}{\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+{\mathrm e}^{4}+x^{2}+8 x +9}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)+{\mathrm e}^{4}+x^{2}+8 x +9}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)+{\mathrm e}^{4}+x^{2}+8 x +9}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+{\mathrm e}^{4}+x^{2}+8 x +9}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)+{\mathrm e}^{4}+x^{2}+8 x +9}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)+{\mathrm e}^{4}+x^{2}+8 x +9}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left(\ln \left(x \right)+{\mathrm e}^{4}+x^{2}+8 x +9\right)}$&$173$\\ \hline \end{longtable}"," ",0,"x-exp(x)+2*I*x/(Pi*csgn(I*x)*csgn(I/(ln(x)+exp(4)+x^2+8*x+9))*csgn(I*x/(ln(x)+exp(4)+x^2+8*x+9))-Pi*csgn(I*x)*csgn(I*x/(ln(x)+exp(4)+x^2+8*x+9))^2-Pi*csgn(I/(ln(x)+exp(4)+x^2+8*x+9))*csgn(I*x/(ln(x)+exp(4)+x^2+8*x+9))^2+Pi*csgn(I*x/(ln(x)+exp(4)+x^2+8*x+9))^3+2*I*ln(x)-2*I*ln(ln(x)+exp(4)+x^2+8*x+9))","C"
4278,1,26,11,0.046000," ","int((4*ln(x)^3+36*ln(x)^2+108*ln(x)+108)/(x*ln(x)^4+12*x*ln(x)^3+54*x*ln(x)^2+108*x*ln(x)+x*exp(4)+84*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(x \right)^{4}+12 \ln \left(x \right)^{3}+54 \ln \left(x \right)^{2}+108 \ln \left(x \right)+{\mathrm e}^{4}+84\right)$&$26$\\ norman&$\ln \left(\ln \left(x \right)^{4}+12 \ln \left(x \right)^{3}+54 \ln \left(x \right)^{2}+108 \ln \left(x \right)+{\mathrm e}^{4}+84\right)$&$26$\\ risch&$\ln \left(\ln \left(x \right)^{4}+12 \ln \left(x \right)^{3}+54 \ln \left(x \right)^{2}+108 \ln \left(x \right)+{\mathrm e}^{4}+84\right)$&$26$\\ \hline \end{longtable}"," ",0,"ln(ln(x)^4+12*ln(x)^3+54*ln(x)^2+108*ln(x)+exp(4)+84)","B"
4279,1,25,20,0.105000," ","int(((5*x^2+15*x)*ln(16/(x^2+6*x+9))-5*x^2+10*x-15)/(x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$5 x +5 \ln \left(\frac{16}{x^{2}+6 x +9}\right) x -5 \ln \left(x \right)$&$25$\\ risch&$5 x +5 \ln \left(\frac{16}{x^{2}+6 x +9}\right) x -5 \ln \left(x \right)$&$25$\\ derivativedivides&$20 \left(3+x \right) \ln \left(2\right)+5 \left(3+x \right) \ln \left(\frac{1}{\left(3+x \right)^{2}}\right)+15+5 x -25 \ln \left(\frac{1}{3+x}\right)-5 \ln \left(-1+\frac{3}{3+x}\right)$&$44$\\ default&$20 \left(3+x \right) \ln \left(2\right)+5 \left(3+x \right) \ln \left(\frac{1}{\left(3+x \right)^{2}}\right)+15+5 x -25 \ln \left(\frac{1}{3+x}\right)-5 \ln \left(-1+\frac{3}{3+x}\right)$&$44$\\ \hline \end{longtable}"," ",0,"5*x+5*ln(16/(x^2+6*x+9))*x-5*ln(x)","A"
4280,1,19,19,0.139000," ","int(((2*ln(5)-3)*exp(x/(2*ln(5)+2*x-3))+8*x*ln(5)^2+2*(8*x^2-12*x)*ln(5)+8*x^3-24*x^2+18*x)/(4*ln(5)^2+2*(4*x-6)*ln(5)+4*x^2-12*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+{\mathrm e}^{\frac{x}{2 \ln \left(5\right)+2 x -3}}$&$19$\\ norman&$\frac{\left(2 \ln \left(5\right)-3\right) x^{2}+\left(2 \ln \left(5\right)-3\right) {\mathrm e}^{\frac{x}{2 \ln \left(5\right)+2 x -3}}+2 x^{3}+2 \,{\mathrm e}^{\frac{x}{2 \ln \left(5\right)+2 x -3}} x}{2 \ln \left(5\right)+2 x -3}$&$67$\\ derivativedivides&$-\frac{\left(-4 \ln \left(5\right)+6\right) \left(-\frac{27 \left(2 \ln \left(5\right)+2 x -3\right)^{2}}{4 \left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)^{2}}-\frac{27 \left(2 \ln \left(5\right)+2 x -3\right)}{\left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)}-\frac{3 \,{\mathrm e}^{\frac{1}{2}+\frac{-\ln \left(5\right)+\frac{3}{2}}{2 \ln \left(5\right)+2 x -3}}}{4 \ln \left(5\right)^{2}-12 \ln \left(5\right)+9}+\frac{27 \ln \left(5\right) \left(2 \ln \left(5\right)+2 x -3\right)^{2}}{2 \left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)^{2}}-\frac{9 \ln \left(5\right)^{2} \left(2 \ln \left(5\right)+2 x -3\right)^{2}}{\left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)^{2}}+\frac{2 \ln \left(5\right)^{3} \left(2 \ln \left(5\right)+2 x -3\right)^{2}}{\left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)^{2}}+\frac{54 \ln \left(5\right) \left(2 \ln \left(5\right)+2 x -3\right)}{\left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)}-\frac{36 \ln \left(5\right)^{2} \left(2 \ln \left(5\right)+2 x -3\right)}{\left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)}+\frac{8 \ln \left(5\right)^{3} \left(2 \ln \left(5\right)+2 x -3\right)}{\left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)}+\frac{2 \ln \left(5\right) {\mathrm e}^{\frac{1}{2}+\frac{-\ln \left(5\right)+\frac{3}{2}}{2 \ln \left(5\right)+2 x -3}}}{4 \ln \left(5\right)^{2}-12 \ln \left(5\right)+9}\right)}{2}$&$378$\\ default&$-\frac{\left(-4 \ln \left(5\right)+6\right) \left(-\frac{27 \left(2 \ln \left(5\right)+2 x -3\right)^{2}}{4 \left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)^{2}}-\frac{27 \left(2 \ln \left(5\right)+2 x -3\right)}{\left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)}-\frac{3 \,{\mathrm e}^{\frac{1}{2}+\frac{-\ln \left(5\right)+\frac{3}{2}}{2 \ln \left(5\right)+2 x -3}}}{4 \ln \left(5\right)^{2}-12 \ln \left(5\right)+9}+\frac{27 \ln \left(5\right) \left(2 \ln \left(5\right)+2 x -3\right)^{2}}{2 \left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)^{2}}-\frac{9 \ln \left(5\right)^{2} \left(2 \ln \left(5\right)+2 x -3\right)^{2}}{\left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)^{2}}+\frac{2 \ln \left(5\right)^{3} \left(2 \ln \left(5\right)+2 x -3\right)^{2}}{\left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)^{2}}+\frac{54 \ln \left(5\right) \left(2 \ln \left(5\right)+2 x -3\right)}{\left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)}-\frac{36 \ln \left(5\right)^{2} \left(2 \ln \left(5\right)+2 x -3\right)}{\left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)}+\frac{8 \ln \left(5\right)^{3} \left(2 \ln \left(5\right)+2 x -3\right)}{\left(16 \ln \left(5\right)^{2}-48 \ln \left(5\right)+36\right) \left(-\ln \left(5\right)+\frac{3}{2}\right)}+\frac{2 \ln \left(5\right) {\mathrm e}^{\frac{1}{2}+\frac{-\ln \left(5\right)+\frac{3}{2}}{2 \ln \left(5\right)+2 x -3}}}{4 \ln \left(5\right)^{2}-12 \ln \left(5\right)+9}\right)}{2}$&$378$\\ \hline \end{longtable}"," ",0,"x^2+exp(x/(2*ln(5)+2*x-3))","A"
4281,1,81,29,0.052000," ","int(((2*x^4-3*x^3-12*x^2+20*x)*ln(3)*ln(x)^2+((12*x^4-18*x^3-72*x^2+120*x)*ln(3)-x)*ln(x)+(18*x^4-27*x^3-108*x^2+180*x)*ln(3)-4*x+2)*exp((((x^3+3*x^2-7*x-6)*ln(3)+4*x-8)*ln(x)+(3*x^3+9*x^2-21*x-18)*ln(3)+12*x-23)/((x-2)*ln(x)+3*x-6))/((x^3-4*x^2+4*x)*ln(x)^2+(6*x^3-24*x^2+24*x)*ln(x)+9*x^3-36*x^2+36*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\ln \left(x \right) \ln \left(3\right) x^{3}+3 x^{2} \ln \left(3\right) \ln \left(x \right)+3 x^{3} \ln \left(3\right)-7 x \ln \left(3\right) \ln \left(x \right)+9 x^{2} \ln \left(3\right)-6 \ln \left(3\right) \ln \left(x \right)+4 x \ln \left(x \right)-21 x \ln \left(3\right)-8 \ln \left(x \right)-18 \ln \left(3\right)+12 x -23}{\left(x -2\right) \left(3+\ln \left(x \right)\right)}}$&$81$\\ \hline \end{longtable}"," ",0,"exp((ln(x)*ln(3)*x^3+3*x^2*ln(3)*ln(x)+3*x^3*ln(3)-7*x*ln(3)*ln(x)+9*x^2*ln(3)-6*ln(3)*ln(x)+4*x*ln(x)-21*x*ln(3)-8*ln(x)-18*ln(3)+12*x-23)/(x-2)/(3+ln(x)))","B"
4282,1,28,25,0.107000," ","int(((-2*x^2+3*x)*exp(ln(5)+x)*ln(5/x)+(-2*x^2+x+1)*exp(ln(5)+x))/((16*x^3-16*x^2+4*x)*ln(5/x)^2+(32*x^3-32*x^2+8*x)*ln(5/x)+16*x^3-16*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 i {\mathrm e}^{x}}{2 \left(2 x -1\right) \left(2 i \ln \left(5\right)-2 i \ln \left(x \right)+2 i\right)}$&$28$\\ \hline \end{longtable}"," ",0,"-5/2*I*exp(x)/(2*x-1)/(2*I*ln(5)-2*I*ln(x)+2*I)","C"
4283,1,42,35,0.057000," ","int(1/9*(((18*x^2+18*x-9)*exp(x)^2+(-144*x^3-12*x^2+30*x-30)*exp(x)+216*x^4-240*x^3+158*x^2-25)*exp(x^2)-18*x^3+9*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+x +\frac{\left(108 x^{2}-72 \,{\mathrm e}^{x} x +9 \,{\mathrm e}^{2 x}-120 x +30 \,{\mathrm e}^{x}+25\right) {\mathrm e}^{x^{2}}}{9 x}$&$42$\\ norman&$\frac{x^{2}+{\mathrm e}^{2 x} {\mathrm e}^{x^{2}}-x^{3}+12 x^{2} {\mathrm e}^{x^{2}}+\frac{10 \,{\mathrm e}^{x} {\mathrm e}^{x^{2}}}{3}-\frac{40 \,{\mathrm e}^{x^{2}} x}{3}-8 x \,{\mathrm e}^{x} {\mathrm e}^{x^{2}}+\frac{25 \,{\mathrm e}^{x^{2}}}{9}}{x}$&$62$\\ \hline \end{longtable}"," ",0,"-x^2+x+1/9*(108*x^2-72*exp(x)*x+9*exp(2*x)-120*x+30*exp(x)+25)/x*exp(x^2)","A"
4284,1,40,24,0.042000," ","int(((2*x-21)*exp(5*x)^4+(1500*x-15300)*exp(5*x)^3+(12500*x-351250)*exp(5*x)^2-2812500*exp(5*x)-7812500)/exp(5*x)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-21 x +\left(3000-300 x \right) {\mathrm e}^{-5 x}+\left(35000-1250 x \right) {\mathrm e}^{-10 x}+187500 \,{\mathrm e}^{-15 x}+390625 \,{\mathrm e}^{-20 x}$&$40$\\ derivativedivides&$-21 x +x^{2}+390625 \,{\mathrm e}^{-20 x}+187500 \,{\mathrm e}^{-15 x}+35000 \,{\mathrm e}^{-10 x}+3000 \,{\mathrm e}^{-5 x}-1250 \,{\mathrm e}^{-10 x} x -300 x \,{\mathrm e}^{-5 x}$&$58$\\ default&$-21 x +x^{2}+390625 \,{\mathrm e}^{-20 x}+187500 \,{\mathrm e}^{-15 x}+35000 \,{\mathrm e}^{-10 x}+3000 \,{\mathrm e}^{-5 x}-1250 \,{\mathrm e}^{-10 x} x -300 x \,{\mathrm e}^{-5 x}$&$58$\\ norman&$\left(390625+x^{2} {\mathrm e}^{20 x}+35000 \,{\mathrm e}^{10 x}+3000 \,{\mathrm e}^{15 x}-1250 \,{\mathrm e}^{10 x} x -300 \,{\mathrm e}^{15 x} x -21 x \,{\mathrm e}^{20 x}+187500 \,{\mathrm e}^{5 x}\right) {\mathrm e}^{-20 x}$&$69$\\ \hline \end{longtable}"," ",0,"x^2-21*x+(3000-300*x)*exp(-5*x)+(35000-1250*x)*exp(-10*x)+187500*exp(-15*x)+390625*exp(-20*x)","A"
4285,1,38,28,0.076000," ","int(((-10*x^4+100*x^3-200*x^2-250*x)*exp(x)-10*x^4+140*x^3-100*x^2-2000*x+1250)/((x^4-15*x^3+75*x^2-125*x)*ln(x)^3+((3*x^4-30*x^3+75*x^2)*exp(x)+(3*x^4-45*x^3+225*x^2-375*x)*ln(5)+3*x^5-18*x^4-30*x^3+150*x^2+375*x)*ln(x)^2+((3*x^4-15*x^3)*exp(x)^2+((6*x^4-60*x^3+150*x^2)*ln(5)+6*x^5-6*x^4-90*x^3-150*x^2)*exp(x)+(3*x^4-45*x^3+225*x^2-375*x)*ln(5)^2+(6*x^5-36*x^4-60*x^3+300*x^2+750*x)*ln(5)+3*x^6+9*x^5-42*x^4-270*x^3-525*x^2-375*x)*ln(x)+x^4*exp(x)^3+((3*x^4-15*x^3)*ln(5)+3*x^5+12*x^4+15*x^3)*exp(x)^2+((3*x^4-30*x^3+75*x^2)*ln(5)^2+(6*x^5-6*x^4-90*x^3-150*x^2)*ln(5)+3*x^6+24*x^5+78*x^4+120*x^3+75*x^2)*exp(x)+(x^4-15*x^3+75*x^2-125*x)*ln(5)^3+(3*x^5-18*x^4-30*x^3+150*x^2+375*x)*ln(5)^2+(3*x^6+9*x^5-42*x^4-270*x^3-525*x^2-375*x)*ln(5)+x^7+12*x^6+63*x^5+184*x^4+315*x^3+300*x^2+125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \left(x -5\right)^{2}}{\left(x \ln \left(x \right)+x \ln \left(5\right)+{\mathrm e}^{x} x +x^{2}-5 \ln \left(x \right)-5 \ln \left(5\right)+4 x +5\right)^{2}}$&$38$\\ \hline \end{longtable}"," ",0,"5*(x-5)^2/(x*ln(x)+x*ln(5)+exp(x)*x+x^2-5*ln(x)-5*ln(5)+4*x+5)^2","A"
4286,1,329,32,6.010000," ","int((-3*ln(4*x^2)^2+(-x^2+x+1)*ln(4*x^2)-2*x-2)*exp((3*ln(4*x^2)+x^2+x)/exp(x)/ln(4*x^2)/ln(2*ln(2)))/(exp(x)*ln(4*x^2)^2*ln(2*ln(2))*exp((3*ln(4*x^2)+x^2+x)/exp(x)/ln(4*x^2)/ln(2*ln(2)))+3*exp(x)*ln(4*x^2)^2*ln(2*ln(2))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{-x}}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}+\frac{2 i \left(x +1\right) x \,{\mathrm e}^{-x}}{\left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(2\right)+4 i \ln \left(x \right)\right) \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)}-\frac{\left(6 \ln \left(2\right)+6 \ln \left(x \right)-\frac{3 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}+x^{2}+x \right) {\mathrm e}^{-x}}{\left(2 \ln \left(2\right)+2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right) \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)}+\ln \left({\mathrm e}^{\frac{\left(-3 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+6 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-3 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 x^{2}+12 \ln \left(2\right)+12 \ln \left(x \right)+2 x \right) {\mathrm e}^{-x}}{\left(-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+4 \ln \left(2\right)+4 \ln \left(x \right)\right) \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)}}+3\right)$&$329$\\ \hline \end{longtable}"," ",0,"3*exp(-x)/(ln(2)+ln(ln(2)))+2*I*(x+1)*x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(2)+4*I*ln(x))*exp(-x)/(ln(2)+ln(ln(2)))-(6*ln(2)+6*ln(x)-3/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2+x^2+x)*exp(-x)/(2*ln(2)+2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)/(ln(2)+ln(ln(2)))+ln(exp((-3*I*Pi*csgn(I*x^2)^3+6*I*Pi*csgn(I*x^2)^2*csgn(I*x)-3*I*Pi*csgn(I*x^2)*csgn(I*x)^2+2*x^2+12*ln(2)+12*ln(x)+2*x)*exp(-x)/(-I*Pi*csgn(I*x^2)^3+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x)^2*csgn(I*x^2)+4*ln(2)+4*ln(x))/(ln(2)+ln(ln(2))))+3)","C"
4287,1,22,16,0.095000," ","int(((176*x+44)*exp(4*x)-44*exp(5))*ln(x)^2+(88*exp(4*x)-88*exp(5))*ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$44 \,{\mathrm e}^{4 x} \ln \left(x \right)^{2} x -44 x \,{\mathrm e}^{5} \ln \left(x \right)^{2}$&$22$\\ norman&$44 \,{\mathrm e}^{4 x} \ln \left(x \right)^{2} x -44 x \,{\mathrm e}^{5} \ln \left(x \right)^{2}$&$22$\\ risch&$44 \,{\mathrm e}^{4 x} \ln \left(x \right)^{2} x -44 x \,{\mathrm e}^{5} \ln \left(x \right)^{2}$&$22$\\ \hline \end{longtable}"," ",0,"44*exp(4*x)*ln(x)^2*x-44*x*exp(5)*ln(x)^2","A"
4288,1,47,20,0.027000," ","int(((-x-1)*exp(1)+x^2+2*x)*exp(x)+(-15*x^4+60*x^3+4)*exp(1)+18*x^5-75*x^4-8*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-3 \,{\mathrm e}-15\right) x^{5}+{\mathrm e}^{x} x^{2}-4 x^{2}+3 x^{6}+4 x \,{\mathrm e}+15 x^{4} {\mathrm e}-x \,{\mathrm e} \,{\mathrm e}^{x}$&$47$\\ risch&$\left(-x \,{\mathrm e}+x^{2}\right) {\mathrm e}^{x}-3 x^{5} {\mathrm e}+15 x^{4} {\mathrm e}+4 x \,{\mathrm e}+3 x^{6}-15 x^{5}-4 x^{2}$&$48$\\ default&${\mathrm e}^{x} x^{2}-{\mathrm e} \,{\mathrm e}^{x}-{\mathrm e} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+{\mathrm e} \left(-3 x^{5}+15 x^{4}+4 x \right)-4 x^{2}-15 x^{5}+3 x^{6}$&$59$\\ \hline \end{longtable}"," ",0,"(-3*exp(1)-15)*x^5+exp(x)*x^2-4*x^2+3*x^6+4*x*exp(1)+15*x^4*exp(1)-x*exp(1)*exp(x)","B"
4289,1,10,12,0.009000," ","int(44/9*exp(5)^2+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{44 x \,{\mathrm e}^{10}}{9}+2 x$&$10$\\ default&$\left(\frac{44 \,{\mathrm e}^{10}}{9}+2\right) x$&$11$\\ norman&$\left(\frac{44 \,{\mathrm e}^{10}}{9}+2\right) x$&$11$\\ \hline \end{longtable}"," ",0,"44/9*x*exp(10)+2*x","A"
4290,1,13,19,0.023000," ","int(1/2*(10*x*ln(2)+5)/x/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$5 x +\frac{5 \ln \left(x \right)}{2 \ln \left(2\right)}$&$13$\\ risch&$5 x +\frac{5 \ln \left(x \right)}{2 \ln \left(2\right)}$&$13$\\ default&$\frac{5 x \ln \left(2\right)+\frac{5 \ln \left(x \right)}{2}}{\ln \left(2\right)}$&$15$\\ \hline \end{longtable}"," ",0,"5*x+5/2*ln(x)/ln(2)","A"
4291,1,9,9,0.013000," ","int(exp(x-1)+1/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{5}+{\mathrm e}^{x -1}$&$9$\\ norman&$\frac{x}{5}+{\mathrm e}^{x -1}$&$9$\\ risch&$\frac{x}{5}+{\mathrm e}^{x -1}$&$9$\\ derivativedivides&${\mathrm e}^{x -1}+\frac{\ln \left({\mathrm e}^{x -1}\right)}{5}$&$13$\\ \hline \end{longtable}"," ",0,"1/5*x+exp(x-1)","A"
4292,1,17,24,0.029000," ","int((-exp(5)+x^2-3*x-2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}+{\mathrm e}^{5}+2}{x}-3 \ln \left(x \right)$&$17$\\ default&$x -\frac{-{\mathrm e}^{5}-2}{x}-3 \ln \left(x \right)$&$18$\\ risch&$x +\frac{{\mathrm e}^{5}}{x}+\frac{2}{x}-3 \ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"(x^2+exp(5)+2)/x-3*ln(x)","A"
4293,1,29,17,0.021000," ","int(1/16*(-80*x-37)*exp(3)*ln(x)+1/16*(40*x-80)*exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{3} \left(-40 x^{2}-37 x \right) \ln \left(x \right)}{16}+\frac{5 x^{2} {\mathrm e}^{3}}{2}-\frac{43 x \,{\mathrm e}^{3}}{16}$&$29$\\ norman&$-\frac{43 x \,{\mathrm e}^{3}}{16}+\frac{5 x^{2} {\mathrm e}^{3}}{2}-\frac{37 x \,{\mathrm e}^{3} \ln \left(x \right)}{16}-\frac{5 \,{\mathrm e}^{3} \ln \left(x \right) x^{2}}{2}$&$30$\\ default&$\frac{{\mathrm e}^{3} \left(20 x^{2}-80 x \right)}{16}-\frac{5 \,{\mathrm e}^{3} \ln \left(x \right) x^{2}}{2}-\frac{37 x \,{\mathrm e}^{3} \ln \left(x \right)}{16}+\frac{5 x^{2} {\mathrm e}^{3}}{4}+\frac{37 x \,{\mathrm e}^{3}}{16}$&$43$\\ \hline \end{longtable}"," ",0,"1/16*exp(3)*(-40*x^2-37*x)*ln(x)+5/2*x^2*exp(3)-43/16*x*exp(3)","A"
4294,1,41,23,0.148000," ","int((2*x^19*ln(2*x)+((14*x^2*exp(3)+6*x^5-12*x^4)*ln(2*x)-2*x^2*exp(3))*x^10+(((20*x^3-36*x^2)*exp(3)+6*x^6-24*x^5+24*x^4)*ln(2*x)-14*exp(3)^2+(-4*x^3+8*x^2)*exp(3))*x^5+((6*x^4-20*x^3+16*x^2)*exp(3)+2*x^7-12*x^6+24*x^5-16*x^4)*ln(2*x)+(-6*x+8)*exp(3)^2+(-2*x^4+8*x^3-8*x^2)*exp(3))/(x^20+(3*x^6-6*x^5)*x^10+(3*x^7-12*x^6+12*x^5)*x^5+x^8-6*x^7+12*x^6-8*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(2 x \right)^{2}-\frac{2 \,{\mathrm e}^{3} \ln \left(2 x \right)}{x^{2} \left(x^{5}+x -2\right)}+\frac{{\mathrm e}^{6}}{\left(x^{5}+x -2\right)^{2} x^{4}}$&$41$\\ derivativedivides&$\frac{4 \,{\mathrm e}^{3} \ln \left(2 x \right) x^{4}}{3 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)}-\frac{4 \,{\mathrm e}^{3} \ln \left(2 x \right) x^{3}}{3 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)}-\frac{12 \,{\mathrm e}^{3} \ln \left(2 x \right) x^{2}}{16 x^{4}+16 x^{3}+16 x^{2}+16 x +32}-\frac{20 \,{\mathrm e}^{3} \ln \left(2 x \right) x}{3 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)}-\frac{2 \,{\mathrm e}^{3} \ln \left(2 x \right) x}{3 \left(2 x -2\right)}+\frac{544 x^{7} {\mathrm e}^{6}}{27 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}+\frac{112 \,{\mathrm e}^{6} x^{6}}{3 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}+\frac{256 x^{5} {\mathrm e}^{6}}{9 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}-\frac{368 \,{\mathrm e}^{6} x^{4}}{27 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}+\frac{224 \,{\mathrm e}^{6} x^{3}}{27 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}-\frac{1072 x^{2} {\mathrm e}^{6}}{27 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}-\frac{3200 \,{\mathrm e}^{6} x}{27 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}+\ln \left(2 x \right)^{2}-\frac{4240 \,{\mathrm e}^{6}}{27 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}+\frac{{\mathrm e}^{6}}{9 \left(2 x -2\right)^{2}}-\frac{11 \,{\mathrm e}^{6}}{27 \left(2 x -2\right)}+\frac{\ln \left(2 x \right) {\mathrm e}^{3}}{4}+\frac{{\mathrm e}^{6}}{8 x}+\frac{3 \,{\mathrm e}^{6}}{16 x^{2}}+\frac{{\mathrm e}^{6}}{4 x^{4}}+\frac{{\mathrm e}^{6}}{4 x^{3}}+\frac{{\mathrm e}^{3} \ln \left(2 x \right)}{x^{2}}+\frac{{\mathrm e}^{3} \ln \left(2 x \right)}{2 x}$&$488$\\ default&$\frac{4 \,{\mathrm e}^{3} \ln \left(2 x \right) x^{4}}{3 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)}-\frac{4 \,{\mathrm e}^{3} \ln \left(2 x \right) x^{3}}{3 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)}-\frac{12 \,{\mathrm e}^{3} \ln \left(2 x \right) x^{2}}{16 x^{4}+16 x^{3}+16 x^{2}+16 x +32}-\frac{20 \,{\mathrm e}^{3} \ln \left(2 x \right) x}{3 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)}-\frac{2 \,{\mathrm e}^{3} \ln \left(2 x \right) x}{3 \left(2 x -2\right)}+\frac{544 x^{7} {\mathrm e}^{6}}{27 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}+\frac{112 \,{\mathrm e}^{6} x^{6}}{3 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}+\frac{256 x^{5} {\mathrm e}^{6}}{9 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}-\frac{368 \,{\mathrm e}^{6} x^{4}}{27 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}+\frac{224 \,{\mathrm e}^{6} x^{3}}{27 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}-\frac{1072 x^{2} {\mathrm e}^{6}}{27 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}-\frac{3200 \,{\mathrm e}^{6} x}{27 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}+\ln \left(2 x \right)^{2}-\frac{4240 \,{\mathrm e}^{6}}{27 \left(16 x^{4}+16 x^{3}+16 x^{2}+16 x +32\right)^{2}}+\frac{{\mathrm e}^{6}}{9 \left(2 x -2\right)^{2}}-\frac{11 \,{\mathrm e}^{6}}{27 \left(2 x -2\right)}+\frac{\ln \left(2 x \right) {\mathrm e}^{3}}{4}+\frac{{\mathrm e}^{6}}{8 x}+\frac{3 \,{\mathrm e}^{6}}{16 x^{2}}+\frac{{\mathrm e}^{6}}{4 x^{4}}+\frac{{\mathrm e}^{6}}{4 x^{3}}+\frac{{\mathrm e}^{3} \ln \left(2 x \right)}{x^{2}}+\frac{{\mathrm e}^{3} \ln \left(2 x \right)}{2 x}$&$488$\\ \hline \end{longtable}"," ",0,"ln(2*x)^2-2*exp(3)/x^2/(x^5+x-2)*ln(2*x)+exp(6)/(x^5+x-2)^2/x^4","A"
4295,1,35,27,0.053000," ","int(((-625*x^5+3750*x^4+2*x-4)*ln(x)^2+(5000*x^5-30000*x^4-12*x+24)*ln(x)-10000*x^5+60000*x^4+16*x-28)/((625*x^5-2*x)*ln(x)^2+(-5000*x^5+12*x)*ln(x)+10000*x^5-16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(x \right)-x -\ln \left(\ln \left(x \right)-4\right)+\ln \left(625 x^{4} \ln \left(x \right)-2500 x^{4}-2 \ln \left(x \right)+4\right)$&$35$\\ risch&$-x +2 \ln \left(x \right)+\ln \left(625 x^{4}-2\right)+\ln \left(\ln \left(x \right)-\frac{4 \left(625 x^{4}-1\right)}{625 x^{4}-2}\right)-\ln \left(\ln \left(x \right)-4\right)$&$46$\\ \hline \end{longtable}"," ",0,"2*ln(x)-x-ln(ln(x)-4)+ln(625*x^4*ln(x)-2500*x^4-2*ln(x)+4)","A"
4296,1,20,22,0.151000," ","int(((12*x^3+4*x)*ln(x)-4*ln(3)+4*x^3+4*x)/(x*ln(3)^2+(-2*x^4-2*x^2)*ln(3)+x^7+2*x^5+x^3)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4}{\left(-x^{3}+\ln \left(3\right)-x \right) \ln \left(x \right)}$&$20$\\ risch&$\frac{4}{\left(-x^{3}+\ln \left(3\right)-x \right) \ln \left(x \right)}$&$20$\\ \hline \end{longtable}"," ",0,"4/(-x^3+ln(3)-x)/ln(x)","A"
4297,1,20,25,0.098000," ","int((((10*x^3-70*x^2-80*x)*ln(3)*exp(x)+16-2*x)*exp(5/2*x*ln(3)*exp(x)+2*ln(3))^4+x^3)/(x^4-8*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-8+x \right)+\frac{6561 \,3^{10 \,{\mathrm e}^{x} x}}{x^{2}}$&$20$\\ \hline \end{longtable}"," ",0,"ln(-8+x)+6561/x^2*(3^(5/2*exp(x)*x))^4","A"
4298,1,15,15,0.063000," ","int((4*x^3-30*x^2+30*x+50)*exp(x^4-10*x^3+15*x^2+50*x+25)*exp(exp(x^4-10*x^3+15*x^2+50*x+25)-24),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\left(x^{2}-5 x -5\right)^{2}}-24}$&$15$\\ derivativedivides&${\mathrm e}^{{\mathrm e}^{x^{4}-10 x^{3}+15 x^{2}+50 x +25}-24}$&$23$\\ norman&${\mathrm e}^{{\mathrm e}^{x^{4}-10 x^{3}+15 x^{2}+50 x +25}-24}$&$23$\\ \hline \end{longtable}"," ",0,"exp(exp((x^2-5*x-5)^2)-24)","A"
4299,1,42,27,0.082000," ","int(((x*exp(3)^4+2*x*exp(3)^2+x)*ln(x)+((2*x^2-1)*exp(3)^4+(4*x^2-2)*exp(3)^2+2*x^2-1)*ln(3)+(x^3-x)*exp(3)^4+(2*x^3-2*x)*exp(3)^2+x^3-x)/(x*ln(3)^2+2*x^2*ln(3)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left({\mathrm e}^{12}+2 \,{\mathrm e}^{6}+1\right) x^{2}+\left(-{\mathrm e}^{12}-2 \,{\mathrm e}^{6}-1\right) \ln \left(x \right)}{\ln \left(3\right)+x}$&$42$\\ risch&$-\frac{\left({\mathrm e}^{12}+2 \,{\mathrm e}^{6}+1\right) \ln \left(x \right)}{\ln \left(3\right)+x}+\frac{\left({\mathrm e}^{12}+2 \,{\mathrm e}^{6}+1\right) \left(\ln \left(3\right)^{2}+x \ln \left(3\right)+x^{2}\right)}{\ln \left(3\right)+x}$&$47$\\ default&$\frac{\ln \left(x \right) x \,{\mathrm e}^{12}}{\ln \left(3\right) \left(\ln \left(3\right)+x \right)}+\frac{2 \ln \left(x \right) x \,{\mathrm e}^{6}}{\ln \left(3\right) \left(\ln \left(3\right)+x \right)}+\frac{\ln \left(x \right) x}{\ln \left(3\right) \left(\ln \left(3\right)+x \right)}+x \,{\mathrm e}^{12}+2 x \,{\mathrm e}^{6}+x +\frac{\ln \left(3\right)^{2} {\mathrm e}^{12}}{\ln \left(3\right)+x}+\frac{2 \ln \left(3\right)^{2} {\mathrm e}^{6}}{\ln \left(3\right)+x}+\frac{\ln \left(3\right)^{2}}{\ln \left(3\right)+x}-\frac{\ln \left(x \right) {\mathrm e}^{12}}{\ln \left(3\right)}-\frac{2 \ln \left(x \right) {\mathrm e}^{6}}{\ln \left(3\right)}-\frac{\ln \left(x \right)}{\ln \left(3\right)}$&$141$\\ \hline \end{longtable}"," ",0,"((exp(3)^4+2*exp(3)^2+1)*x^2+(-exp(3)^4-2*exp(3)^2-1)*ln(x))/(ln(3)+x)","A"
4300,1,11,18,0.096000," ","int(((2*x-16)*ln(x)+x-16)/(x^2-16*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(x \right)\right)+\ln \left(x \left(x -16\right)\right)$&$11$\\ norman&$\ln \left(x \right)+\ln \left(\ln \left(x \right)\right)+\ln \left(x -16\right)$&$11$\\ risch&$\ln \left(x^{2}-16 x \right)+\ln \left(\ln \left(x \right)\right)$&$13$\\ \hline \end{longtable}"," ",0,"ln(ln(x))+ln(x*(x-16))","A"
4301,1,22,21,0.051000," ","int((((-18*x^2+18*x)*ln(x)^2+18*x*ln(x))*exp(9*x^2*ln(x)^2/exp(x)^2)+2*exp(x))/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \,{\mathrm e}^{-x}+{\mathrm e}^{9 x^{2} \ln \left(x \right)^{2} {\mathrm e}^{-2 x}}$&$22$\\ \hline \end{longtable}"," ",0,"-2*exp(-x)+exp(9*x^2*ln(x)^2*exp(-2*x))","A"
4302,1,18,19,0.073000," ","int(((2*ln(x^2)-2)*exp(-ln(5/3*ln(x^2)/x^2)+ln(3)-5)+x*ln(x^2))/x/ln(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{9 \,{\mathrm e}^{-5} x^{2}}{5 \ln \left(x^{2}\right)}$&$18$\\ norman&$\frac{x \ln \left(x^{2}\right)+\frac{9 x^{2} {\mathrm e}^{-5}}{5}}{\ln \left(x^{2}\right)}$&$24$\\ \hline \end{longtable}"," ",0,"x+9/5/exp(5)*x^2/ln(x^2)","A"
4303,1,25,21,0.265000," ","int((x^2*ln(5)^2+(2*x^4+4*x)*ln(5)+x^6+8*x^3)*exp((x^2*ln(5)+x^4)/(x*ln(5)+x^3+2))/(5*x^2*ln(5)^2+(10*x^4+20*x)*ln(5)+5*x^6+20*x^3+20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{\frac{x^{2} \left(x^{2}+\ln \left(5\right)\right)}{x \ln \left(5\right)+x^{3}+2}}}{5}$&$25$\\ risch&$\frac{{\mathrm e}^{\frac{x^{2} \left(x^{2}+\ln \left(5\right)\right)}{x \ln \left(5\right)+x^{3}+2}}}{5}$&$25$\\ norman&$\frac{\frac{x^{3} {\mathrm e}^{\frac{x^{2} \ln \left(5\right)+x^{4}}{x \ln \left(5\right)+x^{3}+2}}}{5}+\frac{x \ln \left(5\right) {\mathrm e}^{\frac{x^{2} \ln \left(5\right)+x^{4}}{x \ln \left(5\right)+x^{3}+2}}}{5}+\frac{2 \,{\mathrm e}^{\frac{x^{2} \ln \left(5\right)+x^{4}}{x \ln \left(5\right)+x^{3}+2}}}{5}}{x \ln \left(5\right)+x^{3}+2}$&$95$\\ \hline \end{longtable}"," ",0,"1/5*exp(x^2*(x^2+ln(5))/(x*ln(5)+x^3+2))","A"
4304,1,59,20,0.058000," ","int(((-6*x^5+140*x^4-792*x^3-240*x^2+2400*x-8000)*exp(5)+6*x^8-80*x^7-32*x^6+720*x^5-3968*x^4-960*x^3+9600*x^2-32000*x)/(x^3-30*x^2+300*x-1000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{8}+\left(-320+8 \,{\mathrm e}^{5}\right) x^{3}+\left(80-2 \,{\mathrm e}^{5}\right) x^{5}+\left(20 \,{\mathrm e}^{5}+16\right) x^{4}+\left(32000-2400 \,{\mathrm e}^{5}\right) x -8 x^{6}-160000+16000 \,{\mathrm e}^{5}}{\left(x -10\right)^{2}}$&$59$\\ default&$x^{6}+20 x^{5}-2 x^{3} {\mathrm e}^{5}+292 x^{4}-20 x^{2} {\mathrm e}^{5}+3920 x^{3}-192 x \,{\mathrm e}^{5}+49216 x^{2}+592000 x -\frac{2 \left(-39600000+10000 \,{\mathrm e}^{5}\right)}{x -10}+\frac{100000000}{\left(x -10\right)^{2}}$&$67$\\ risch&$x^{6}+20 x^{5}-2 x^{3} {\mathrm e}^{5}+292 x^{4}-20 x^{2} {\mathrm e}^{5}+3920 x^{3}-192 x \,{\mathrm e}^{5}+49216 x^{2}+592000 x +\frac{\left(79200000-20000 \,{\mathrm e}^{5}\right) x -692000000+200000 \,{\mathrm e}^{5}}{x^{2}-20 x +100}$&$72$\\ gosper&$-\frac{-x^{8}+2 x^{5} {\mathrm e}^{5}+8 x^{6}-20 x^{4} {\mathrm e}^{5}-80 x^{5}-8 x^{3} {\mathrm e}^{5}-16 x^{4}+320 x^{3}+2400 x \,{\mathrm e}^{5}-16000 \,{\mathrm e}^{5}-32000 x +160000}{x^{2}-20 x +100}$&$73$\\ \hline \end{longtable}"," ",0,"(x^8+(-320+8*exp(5))*x^3+(80-2*exp(5))*x^5+(20*exp(5)+16)*x^4+(32000-2400*exp(5))*x-8*x^6-160000+16000*exp(5))/(x-10)^2","B"
4305,1,19,18,0.028000," ","int(1/2*(((25*x-50)*exp(x)+50*x^2)*exp(exp(x)/x^2)+150*x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{75 x^{2}}{2}+\frac{25 \,{\mathrm e}^{\frac{{\mathrm e}^{x}}{x^{2}}} x^{2}}{2}$&$19$\\ risch&$\frac{75 x^{2}}{2}+\frac{25 \,{\mathrm e}^{\frac{{\mathrm e}^{x}}{x^{2}}} x^{2}}{2}$&$19$\\ \hline \end{longtable}"," ",0,"75/2*x^2+25/2*exp(exp(x)/x^2)*x^2","A"
4306,1,21,20,0.017000," ","int((-4*x+1)*exp(3)+6*x^2-2*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(2 x \,{\mathrm e}^{3}-2 x^{2}-{\mathrm e}^{3}+x -1\right)$&$21$\\ default&${\mathrm e}^{3} \left(-2 x^{2}+x \right)+2 x^{3}-x^{2}+x$&$23$\\ norman&$\left(-2 \,{\mathrm e}^{3}-1\right) x^{2}+\left({\mathrm e}^{3}+1\right) x +2 x^{3}$&$23$\\ risch&$-2 x^{2} {\mathrm e}^{3}+x \,{\mathrm e}^{3}+2 x^{3}-x^{2}+x$&$24$\\ \hline \end{longtable}"," ",0,"-x*(2*x*exp(3)-2*x^2-exp(3)+x-1)","A"
4307,1,23,26,0.037000," ","int(((2*x^3-x^2+x)*exp(x^2-x)+4*x*ln(2)+2*x^2-15*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-15 x +\ln \left(x \right)+x^{2}+x \,{\mathrm e}^{x \left(x -1\right)}+4 x \ln \left(2\right)$&$23$\\ default&$-15 x +\ln \left(x \right)+x^{2}+x \,{\mathrm e}^{x^{2}-x}+4 x \ln \left(2\right)$&$25$\\ norman&$x^{2}+x \,{\mathrm e}^{x^{2}-x}+\left(4 \ln \left(2\right)-15\right) x +\ln \left(x \right)$&$25$\\ \hline \end{longtable}"," ",0,"-15*x+ln(x)+x^2+x*exp(x*(x-1))+4*x*ln(2)","A"
4308,0,0,29,0.086000," ","int(((((x^2-2*x)*exp(x)+x-2)*ln(x^2-4*x+4)+(x^2-2*x)*exp(x)+x-2)*ln(ln(x^2-4*x+4)+1)^2+((2*x^3-4*x^2)*exp(x)*ln(x^2-4*x+4)+(2*x^3-4*x^2)*exp(x)-4*x)*ln(ln(x^2-4*x+4)+1)+((x^4-4*x^3+9*x^2-10*x)*exp(x)-x^3+2*x^2+5*x-10)*ln(x^2-4*x+4)+(x^4-4*x^3+9*x^2-10*x)*exp(x)-x^3-2*x^2+5*x-10)*exp(-ln(ln(ln(x^2-4*x+4)+1)^2+2*x*ln(ln(x^2-4*x+4)+1)+x^2-2*x+5)+exp(x))/(((x-2)*ln(x^2-4*x+4)+x-2)*ln(ln(x^2-4*x+4)+1)^2+((2*x^2-4*x)*ln(x^2-4*x+4)+2*x^2-4*x)*ln(ln(x^2-4*x+4)+1)+(x^3-4*x^2+9*x-10)*ln(x^2-4*x+4)+x^3-4*x^2+9*x-10),x)","\[\int \frac{\left(\left(\left(\left(x^{2}-2 x \right) {\mathrm e}^{x}+x -2\right) \ln \left(x^{2}-4 x +4\right)+\left(x^{2}-2 x \right) {\mathrm e}^{x}+x -2\right) \ln \left(\ln \left(x^{2}-4 x +4\right)+1\right)^{2}+\left(\left(2 x^{3}-4 x^{2}\right) {\mathrm e}^{x} \ln \left(x^{2}-4 x +4\right)+\left(2 x^{3}-4 x^{2}\right) {\mathrm e}^{x}-4 x \right) \ln \left(\ln \left(x^{2}-4 x +4\right)+1\right)+\left(\left(x^{4}-4 x^{3}+9 x^{2}-10 x \right) {\mathrm e}^{x}-x^{3}+2 x^{2}+5 x -10\right) \ln \left(x^{2}-4 x +4\right)+\left(x^{4}-4 x^{3}+9 x^{2}-10 x \right) {\mathrm e}^{x}-x^{3}-2 x^{2}+5 x -10\right) {\mathrm e}^{-\ln \left(\ln \left(\ln \left(x^{2}-4 x +4\right)+1\right)^{2}+2 x \ln \left(\ln \left(x^{2}-4 x +4\right)+1\right)+x^{2}-2 x +5\right)+{\mathrm e}^{x}}}{\left(\left(x -2\right) \ln \left(x^{2}-4 x +4\right)+x -2\right) \ln \left(\ln \left(x^{2}-4 x +4\right)+1\right)^{2}+\left(\left(2 x^{2}-4 x \right) \ln \left(x^{2}-4 x +4\right)+2 x^{2}-4 x \right) \ln \left(\ln \left(x^{2}-4 x +4\right)+1\right)+\left(x^{3}-4 x^{2}+9 x -10\right) \ln \left(x^{2}-4 x +4\right)+x^{3}-4 x^{2}+9 x -10}\, dx\]"," ",0,"int(((((x^2-2*x)*exp(x)+x-2)*ln(x^2-4*x+4)+(x^2-2*x)*exp(x)+x-2)*ln(ln(x^2-4*x+4)+1)^2+((2*x^3-4*x^2)*exp(x)*ln(x^2-4*x+4)+(2*x^3-4*x^2)*exp(x)-4*x)*ln(ln(x^2-4*x+4)+1)+((x^4-4*x^3+9*x^2-10*x)*exp(x)-x^3+2*x^2+5*x-10)*ln(x^2-4*x+4)+(x^4-4*x^3+9*x^2-10*x)*exp(x)-x^3-2*x^2+5*x-10)*exp(-ln(ln(ln(x^2-4*x+4)+1)^2+2*x*ln(ln(x^2-4*x+4)+1)+x^2-2*x+5)+exp(x))/(((x-2)*ln(x^2-4*x+4)+x-2)*ln(ln(x^2-4*x+4)+1)^2+((2*x^2-4*x)*ln(x^2-4*x+4)+2*x^2-4*x)*ln(ln(x^2-4*x+4)+1)+(x^3-4*x^2+9*x-10)*ln(x^2-4*x+4)+x^3-4*x^2+9*x-10),x)","F"
4309,1,71,19,0.124000," ","int((((-3*x+3)*exp(x)+12)*ln(x^2)+(-3*x^2+3*x-9)*exp(x)-3*x^2-6*x-36)/((4*exp(x)^2+(8*x+32)*exp(x)+4*x^2+32*x+64)*ln(x^2)^2+((8*x-8)*exp(x)^2+(16*x^2+48*x-64)*exp(x)+8*x^3+56*x^2+64*x-128)*ln(x^2)+(4*x^2-8*x+4)*exp(x)^2+(8*x^3+16*x^2-56*x+32)*exp(x)+4*x^4+24*x^3+4*x^2-96*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x}{2 \left(4+x +{\mathrm e}^{x}\right) \left(-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 x +4 \ln \left(x \right)-2\right)}$&$71$\\ \hline \end{longtable}"," ",0,"3/2*x/(4+x+exp(x))/(-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3+2*x+4*ln(x)-2)","C"
4310,1,25,23,0.092000," ","int((2*x*ln(25/x^2/ln(2)^2)^2+(-18*x+2)*ln(25/x^2/ln(2)^2)+38*x-4)/(ln(25/x^2/ln(2)^2)^2-8*ln(25/x^2/ln(2)^2)+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{\left(x -2\right) x}{\ln \left(\frac{25}{x^{2} \ln \left(2\right)^{2}}\right)-4}$&$25$\\ norman&$\frac{x^{2} \ln \left(\frac{25}{x^{2} \ln \left(2\right)^{2}}\right)+2 x -5 x^{2}}{\ln \left(\frac{25}{x^{2} \ln \left(2\right)^{2}}\right)-4}$&$39$\\ \hline \end{longtable}"," ",0,"x^2-(x-2)*x/(ln(25/x^2/ln(2)^2)-4)","A"
4311,1,31,27,0.015000," ","int((-2*ln(x)-6*x^6-16*x^4-8*x^2-2*x-1)*exp(-ln(x)^2-x^6-4*x^4-4*x^2-2*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\ln \left(x \right)^{2}-x^{6}-4 x^{4}-4 x^{2}-2 x}}{x}$&$31$\\ \hline \end{longtable}"," ",0,"1/x*exp(-ln(x)^2-x^6-4*x^4-4*x^2-2*x)","A"
4312,1,16,15,0.090000," ","int((4*x^3+2*x^2-6)*exp((x^3+x^2+x+3)/x)^2/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 x^{3}+2 x^{2}+2 x +6}{x}}$&$16$\\ gosper&${\mathrm e}^{\frac{2 x^{3}+2 x^{2}+2 x +6}{x}}$&$17$\\ norman&${\mathrm e}^{\frac{2 x^{3}+2 x^{2}+2 x +6}{x}}$&$17$\\ \hline \end{longtable}"," ",0,"exp(2*(x^3+x^2+x+3)/x)","A"
4313,1,34,28,0.107000," ","int(((-80*exp(1-x)^2+(-120*x+120)*exp(1-x)+180*x)*exp(8*exp(1-x)^2+24*x*exp(1-x)+18*x^2)-5)/(2*exp(8*exp(1-x)^2+24*x*exp(1-x)+18*x^2)^2+(-16-4*x)*exp(8*exp(1-x)^2+24*x*exp(1-x)+18*x^2)+2*x^2+16*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{2 \left(x -{\mathrm e}^{8 \,{\mathrm e}^{-2 x +2}+24 x \,{\mathrm e}^{1-x}+18 x^{2}}+4\right)}$&$34$\\ norman&$\frac{5}{2 \left(x -{\mathrm e}^{8 \,{\mathrm e}^{-2 x +2}+24 x \,{\mathrm e}^{1-x}+18 x^{2}}+4\right)}$&$36$\\ \hline \end{longtable}"," ",0,"5/2/(x-exp(8*exp(-2*x+2)+24*x*exp(1-x)+18*x^2)+4)","A"
4314,0,0,21,0.068000," ","int((-x*exp(4)*ln(x^2)*ln(ln(x^2))+((-x^3+8*x^2-16*x)*exp(4)+x^3-8*x^2+16*x)*ln(x^2)+(2*x-8)*exp(4))/(x^3-8*x^2+16*x)/exp(4)/ln(x^2),x)","\[\int \frac{\left(-x \,{\mathrm e}^{4} \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)+\left(\left(-x^{3}+8 x^{2}-16 x \right) {\mathrm e}^{4}+x^{3}-8 x^{2}+16 x \right) \ln \left(x^{2}\right)+\left(2 x -8\right) {\mathrm e}^{4}\right) {\mathrm e}^{-4}}{\left(x^{3}-8 x^{2}+16 x \right) \ln \left(x^{2}\right)}\, dx\]"," ",0,"int((-x*exp(4)*ln(x^2)*ln(ln(x^2))+((-x^3+8*x^2-16*x)*exp(4)+x^3-8*x^2+16*x)*ln(x^2)+(2*x-8)*exp(4))/(x^3-8*x^2+16*x)/exp(4)/ln(x^2),x)","F"
4315,1,25,21,0.131000," ","int(((exp(exp(exp(3))+3)-3*x)*ln(1/2*(-exp(exp(exp(3))+3)+3*x)/x)+8*exp(exp(exp(3))+3)-27*x)/(exp(exp(exp(3))+3)-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\frac{-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}}+3}+3 x}{2 x}\right)+9 x$&$25$\\ risch&$x \ln \left(\frac{-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}}+3}+3 x}{2 x}\right)+9 x$&$25$\\ derivativedivides&$2 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}}+3} \left(\frac{\ln \left(\frac{3}{2}-\frac{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}}+3}}{2 x}\right) \left(\frac{3}{2}-\frac{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}}+3}}{2 x}\right) {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{3}}-3} x}{3}+\frac{9 \,{\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{3}}-3} x}{2}+\frac{\ln \left(\frac{3}{2}-\frac{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}}+3}}{2 x}\right)}{6}\right)$&$75$\\ default&$2 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}}+3} \left(\frac{\ln \left(\frac{3}{2}-\frac{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}}+3}}{2 x}\right) \left(\frac{3}{2}-\frac{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}}+3}}{2 x}\right) {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{3}}-3} x}{3}+\frac{9 \,{\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{3}}-3} x}{2}+\frac{\ln \left(\frac{3}{2}-\frac{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}}+3}}{2 x}\right)}{6}\right)$&$75$\\ \hline \end{longtable}"," ",0,"x*ln(1/2*(-exp(exp(exp(3))+3)+3*x)/x)+9*x","A"
4316,1,25,25,0.044000," ","int((4*x*exp(x)^2+(8*x^2-8*x-12)*exp(x)+12*x^2-24*x)/((x+1)*exp(x)^2+(x^2+3*x+3)*exp(x)+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 x +4 \ln \left(3+{\mathrm e}^{x}\right)-4 \ln \left(x^{2}+{\mathrm e}^{x} x +{\mathrm e}^{x}\right)$&$25$\\ risch&$4 x -4 \ln \left(x +1\right)+4 \ln \left(3+{\mathrm e}^{x}\right)-4 \ln \left({\mathrm e}^{x}+\frac{x^{2}}{x +1}\right)$&$33$\\ \hline \end{longtable}"," ",0,"4*x+4*ln(3+exp(x))-4*ln(x^2+exp(x)*x+exp(x))","A"
4317,1,61,29,0.060000," ","int(1/8*x*exp(4)^2*ln(3/x)^2+1/8*(2*x*exp(4)^2*ln(3)-x*exp(4)^2+16*exp(4))*ln(3/x)+1/8*x*exp(4)^2*ln(3)^2+1/8*(-x*exp(4)^2+16*exp(4))*ln(3)-2*exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{4} x \ln \left(3\right)+\frac{{\mathrm e}^{8} \ln \left(3\right) x^{2} \ln \left(\frac{3}{x}\right)}{8}+2 \,{\mathrm e}^{4} \ln \left(\frac{3}{x}\right) x +\frac{{\mathrm e}^{8} \ln \left(3\right)^{2} x^{2}}{16}+\frac{{\mathrm e}^{8} x^{2} \ln \left(\frac{3}{x}\right)^{2}}{16}$&$61$\\ default&$2 \,{\mathrm e}^{4} x \ln \left(3\right)+\frac{{\mathrm e}^{8} \ln \left(3\right) x^{2} \ln \left(\frac{3}{x}\right)}{8}+2 \,{\mathrm e}^{4} \ln \left(\frac{3}{x}\right) x +\frac{{\mathrm e}^{8} \ln \left(3\right)^{2} x^{2}}{16}+\frac{{\mathrm e}^{8} x^{2} \ln \left(\frac{3}{x}\right)^{2}}{16}$&$67$\\ norman&$2 \,{\mathrm e}^{4} x \ln \left(3\right)+\frac{{\mathrm e}^{8} \ln \left(3\right) x^{2} \ln \left(\frac{3}{x}\right)}{8}+2 \,{\mathrm e}^{4} \ln \left(\frac{3}{x}\right) x +\frac{{\mathrm e}^{8} \ln \left(3\right)^{2} x^{2}}{16}+\frac{{\mathrm e}^{8} x^{2} \ln \left(\frac{3}{x}\right)^{2}}{16}$&$67$\\ derivativedivides&$\frac{{\mathrm e}^{8} \ln \left(3\right)^{2} x^{2}}{16}-\frac{9 \,{\mathrm e}^{8} \ln \left(3\right) \left(-\frac{x^{2} \ln \left(\frac{3}{x}\right)}{18}-\frac{x^{2}}{36}\right)}{4}-\frac{9 \,{\mathrm e}^{8} \left(-\frac{x^{2} \ln \left(\frac{3}{x}\right)^{2}}{18}-\frac{x^{2} \ln \left(\frac{3}{x}\right)}{18}-\frac{x^{2}}{36}\right)}{8}-\frac{{\mathrm e}^{8} \ln \left(3\right) x^{2}}{16}+2 \,{\mathrm e}^{4} x \ln \left(3\right)+\frac{9 \,{\mathrm e}^{8} \left(-\frac{x^{2} \ln \left(\frac{3}{x}\right)}{18}-\frac{x^{2}}{36}\right)}{8}-6 \,{\mathrm e}^{4} \left(-\frac{x \ln \left(\frac{3}{x}\right)}{3}-\frac{x}{3}\right)-2 x \,{\mathrm e}^{4}$&$139$\\ \hline \end{longtable}"," ",0,"2*exp(4)*x*ln(3)+1/8*exp(8)*ln(3)*x^2*ln(3/x)+2*exp(4)*ln(3/x)*x+1/16*exp(8)*ln(3)^2*x^2+1/16*exp(8)*x^2*ln(3/x)^2","B"
4318,1,42,25,0.194000," ","int(((4*ln(ln(3))+4*x)*ln(x/exp(x))+2*(-6*x+2)*ln(ln(3))-8*x^2+2*x)/((2*ln(ln(3))*x+x^2)*ln(x/exp(x))-2*x^2*ln(ln(3))-x^3+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(-2 \ln \left(x \,{\mathrm e}^{-x}\right) \ln \left(\ln \left(3\right)\right) x -\ln \left(x \,{\mathrm e}^{-x}\right) x^{2}+2 x^{2} \ln \left(\ln \left(3\right)\right)+x^{3}-5\right)$&$42$\\ risch&$2 \ln \left(2 \ln \left(\ln \left(3\right)\right) x +x^{2}\right)+2 \ln \left(\ln \left({\mathrm e}^{x}\right)+\frac{-630-126 x^{2} \ln \left(x \right)+126 x^{3}+252 x^{2} \ln \left(\ln \left(3\right)\right)+2 i x^{3}+\pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}-4 i \ln \left(\ln \left(3\right)\right) x \ln \left(x \right)-2 \pi  \ln \left(\ln \left(3\right)\right) x \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}+63 i \pi  \,x^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}+\pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}+126 i \pi  \ln \left(\ln \left(3\right)\right) x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)-252 \ln \left(\ln \left(3\right)\right) x \ln \left(x \right)-10 i+4 i \ln \left(\ln \left(3\right)\right) x^{2}-\pi  \,x^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}-2 \pi  \ln \left(\ln \left(3\right)\right) x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)+63 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)-126 i \pi  \ln \left(\ln \left(3\right)\right) x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}-126 i \pi  \ln \left(\ln \left(3\right)\right) x \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}-63 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}-63 i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}+126 i \pi  \ln \left(\ln \left(3\right)\right) x \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}-\pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)+2 \pi  \ln \left(\ln \left(3\right)\right) x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}+2 \pi  \ln \left(\ln \left(3\right)\right) x \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}-2 i x^{2} \ln \left(x \right)}{2 x \left(2 i \ln \left(\ln \left(3\right)\right)+i x +126 \ln \left(\ln \left(3\right)\right)+63 x \right)}\right)$&$494$\\ \hline \end{longtable}"," ",0,"2*ln(-2*ln(ln(3))*ln(x/exp(x))*x-x^2*ln(x/exp(x))+2*x^2*ln(ln(3))+x^3-5)","A"
4319,1,20,21,0.023000," ","int((32*x*exp(x)^2+(-96*x^2-96*x)*exp(x)+288*x^2+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)+144 x^{2}+16 \,{\mathrm e}^{2 x}-96 \,{\mathrm e}^{x} x$&$20$\\ norman&$\ln \left(x \right)+144 x^{2}+16 \,{\mathrm e}^{2 x}-96 \,{\mathrm e}^{x} x$&$20$\\ risch&$\ln \left(x \right)+144 x^{2}+16 \,{\mathrm e}^{2 x}-96 \,{\mathrm e}^{x} x$&$20$\\ \hline \end{longtable}"," ",0,"ln(x)+144*x^2+16*exp(x)^2-96*exp(x)*x","A"
4320,1,42,24,0.092000," ","int(((10*x+30)*ln(1/(x^6+12*x^5+54*x^4+108*x^3+81*x^2)/exp(2))^2+(-12*x^2-36*x)*ln(1/(x^6+12*x^5+54*x^4+108*x^3+81*x^2)/exp(2))-36*x^2-36*x)/(3+x)/ln(1/(x^6+12*x^5+54*x^4+108*x^3+81*x^2)/exp(2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$10 x -\frac{6 x^{2}}{\ln \left(\frac{{\mathrm e}^{-2}}{x^{6}+12 x^{5}+54 x^{4}+108 x^{3}+81 x^{2}}\right)}$&$42$\\ norman&$\frac{-6 x^{2}+10 x \ln \left(\frac{{\mathrm e}^{-2}}{x^{6}+12 x^{5}+54 x^{4}+108 x^{3}+81 x^{2}}\right)}{\ln \left(\frac{{\mathrm e}^{-2}}{x^{6}+12 x^{5}+54 x^{4}+108 x^{3}+81 x^{2}}\right)}$&$77$\\ \hline \end{longtable}"," ",0,"10*x-6*x^2/ln(1/(x^6+12*x^5+54*x^4+108*x^3+81*x^2)*exp(-2))","A"
4321,1,98,22,0.149000," ","int(((18*x-9)*exp(x-3)^2-36)/((x*exp(x-3)^2+4*x)*ln(x/(exp(x-3)^2+4))*ln(1/5*ln(x/(exp(x-3)^2+4)))^2+(-4*x*exp(x-3)^2-16*x)*ln(x/(exp(x-3)^2+4))*ln(1/5*ln(x/(exp(x-3)^2+4)))+(4*x*exp(x-3)^2+16*x)*ln(x/(exp(x-3)^2+4))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9}{\ln \left(\frac{\ln \left(x \right)}{5}-\frac{\ln \left({\mathrm e}^{2 x -6}+4\right)}{5}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{2 x -6}+4}\right) \left(-\mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{2 x -6}+4}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{2 x -6}+4}\right)+\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 x -6}+4}\right)\right)}{10}\right)-2}$&$98$\\ \hline \end{longtable}"," ",0,"9/(ln(1/5*ln(x)-1/5*ln(exp(2*x-6)+4)-1/10*I*Pi*csgn(I*x/(exp(2*x-6)+4))*(-csgn(I*x/(exp(2*x-6)+4))+csgn(I*x))*(-csgn(I*x/(exp(2*x-6)+4))+csgn(I/(exp(2*x-6)+4))))-2)","C"
4322,0,0,30,0.110000," ","int((((3*x^2+4*x)*exp(x-5)+3*x*ln(3))*ln(2/x^2)+8*x*exp(x-5)-24*ln(3))*exp(4*ln(1/3*(x*exp(x-5)-3*ln(3))/ln(2/x^2))+2-x)/(x^2*exp(x-5)-3*x*ln(3))/ln(2/x^2),x)","\[\int \frac{\left(\left(\left(3 x^{2}+4 x \right) {\mathrm e}^{x -5}+3 x \ln \left(3\right)\right) \ln \left(\frac{2}{x^{2}}\right)+8 x \,{\mathrm e}^{x -5}-24 \ln \left(3\right)\right) {\mathrm e}^{4 \ln \left(\frac{x \,{\mathrm e}^{x -5}-3 \ln \left(3\right)}{3 \ln \left(\frac{2}{x^{2}}\right)}\right)+2-x}}{\left(x^{2} {\mathrm e}^{x -5}-3 x \ln \left(3\right)\right) \ln \left(\frac{2}{x^{2}}\right)}\, dx\]"," ",0,"int((((3*x^2+4*x)*exp(x-5)+3*x*ln(3))*ln(2/x^2)+8*x*exp(x-5)-24*ln(3))*exp(4*ln(1/3*(x*exp(x-5)-3*ln(3))/ln(2/x^2))+2-x)/(x^2*exp(x-5)-3*x*ln(3))/ln(2/x^2),x)","F"
4323,1,16,19,0.061000," ","int((2*x*exp(1)*exp(exp(1)+2*x)+(1-x)*exp(1))/exp(-exp(exp(1)+2*x)+x+7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-6+{\mathrm e}^{{\mathrm e}+2 x}-x}$&$16$\\ norman&${\mathrm e} \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}+2 x}-x -7} x$&$20$\\ \hline \end{longtable}"," ",0,"x*exp(-6+exp(exp(1)+2*x)-x)","A"
4324,1,6,18,0.006000," ","int(2*x-6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \left(x -6\right)$&$6$\\ default&$x^{2}-6 x$&$8$\\ norman&$x^{2}-6 x$&$8$\\ risch&$x^{2}-6 x$&$8$\\ \hline \end{longtable}"," ",0,"x*(x-6)","A"
4325,1,36,33,0.308000," ","int((27*x^4*exp((2*x-1)/x)^3-81*x^5*exp((2*x-1)/x)^2+((-32*x-32)*ln(2)^2+(-64*x-64)*ln(2)+81*x^6-32*x-32)*exp((2*x-1)/x)+64*x^2*ln(2)^2+128*x^2*ln(2)-27*x^7+64*x^2)/(9*x^4*exp((2*x-1)/x)^3-27*x^5*exp((2*x-1)/x)^2+27*x^6*exp((2*x-1)/x)-9*x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x +\frac{\frac{16 \ln \left(2\right)^{2}}{9}+\frac{32 \ln \left(2\right)}{9}+\frac{16}{9}}{x^{2} \left(x -{\mathrm e}^{\frac{2 x -1}{x}}\right)^{2}}$&$36$\\ norman&$\frac{\left(\frac{16 \ln \left(2\right)^{2}}{9}+\frac{32 \ln \left(2\right)}{9}+\frac{16}{9}\right) x +3 x^{6}+3 x^{4} {\mathrm e}^{\frac{4 x -2}{x}}-6 x^{5} {\mathrm e}^{\frac{2 x -1}{x}}}{x^{3} \left(x -{\mathrm e}^{\frac{2 x -1}{x}}\right)^{2}}$&$73$\\ \hline \end{longtable}"," ",0,"3*x+16/9*(ln(2)^2+2*ln(2)+1)/x^2/(x-exp((2*x-1)/x))^2","A"
4326,1,39,22,0.034000," ","int(((75*x^4+2400*x^3+19200*x^2+16)*ln(x)^2+(150*x^4+2400*x^3)*ln(x)+75*x^4+x)*exp(((25*x^4+400*x^3+x)*ln(x)+25*x^4)/((25*x+400)*ln(x)+25*x))/((25*x^2+800*x+6400)*ln(x)^2+(50*x^2+800*x)*ln(x)+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \left(25 x^{3} \ln \left(x \right)+400 x^{2} \ln \left(x \right)+25 x^{3}+\ln \left(x \right)\right)}{25 x \ln \left(x \right)+400 \ln \left(x \right)+25 x}}$&$39$\\ \hline \end{longtable}"," ",0,"exp(1/25*x*(25*x^3*ln(x)+400*x^2*ln(x)+25*x^3+ln(x))/(x*ln(x)+16*ln(x)+x))","A"
4327,1,25,22,0.135000," ","int((2*x*ln(1/4*(exp(3)^2+2*exp(3)+1)/exp(3)^2)+3*x^2+6*x)/(ln(1/4*(exp(3)^2+2*exp(3)+1)/exp(3)^2)^2+(6*x+6)*ln(1/4*(exp(3)^2+2*exp(3)+1)/exp(3)^2)+9*x^2+18*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}}{\ln \left(\frac{{\mathrm e}^{6}}{4}+\frac{{\mathrm e}^{3}}{2}+\frac{1}{4}\right)+3 x -3}$&$25$\\ gosper&$\frac{x^{2}}{\ln \left(\frac{\left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) {\mathrm e}^{-6}}{4}\right)+3 x +3}$&$29$\\ default&$\frac{x}{3}-\frac{-\frac{\ln \left(\frac{\left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) {\mathrm e}^{-6}}{4}\right)^{2}}{9}-\frac{2 \ln \left(\frac{\left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) {\mathrm e}^{-6}}{4}\right)}{3}-1}{\ln \left(\frac{\left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) {\mathrm e}^{-6}}{4}\right)+3 x +3}$&$61$\\ risch&$\frac{x}{3}+\frac{2 \ln \left({\mathrm e}^{3}+1\right)^{2}}{9 \left(-\ln \left(2\right)+\ln \left({\mathrm e}^{3}+1\right)-\frac{3}{2}+\frac{3 x}{2}\right)}-\frac{4 \ln \left(2\right) \ln \left({\mathrm e}^{3}+1\right)}{9 \left(-\ln \left(2\right)+\ln \left({\mathrm e}^{3}+1\right)-\frac{3}{2}+\frac{3 x}{2}\right)}+\frac{2 \ln \left(2\right)^{2}}{9 \left(-\ln \left(2\right)+\ln \left({\mathrm e}^{3}+1\right)-\frac{3}{2}+\frac{3 x}{2}\right)}-\frac{2 \ln \left({\mathrm e}^{3}+1\right)}{3 \left(-\ln \left(2\right)+\ln \left({\mathrm e}^{3}+1\right)-\frac{3}{2}+\frac{3 x}{2}\right)}+\frac{2 \ln \left(2\right)}{3 \left(-\ln \left(2\right)+\ln \left({\mathrm e}^{3}+1\right)-\frac{3}{2}+\frac{3 x}{2}\right)}+\frac{1}{-2 \ln \left(2\right)+2 \ln \left({\mathrm e}^{3}+1\right)-3+3 x}$&$138$\\ meijerg&$\frac{\left(2 \ln \left(\frac{\left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) {\mathrm e}^{-6}}{4}\right)+6\right) \left(-\frac{3 x}{\left(\ln \left(\frac{\left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) {\mathrm e}^{-6}}{4}\right)+3\right) \left(1+\frac{3 x}{\ln \left(\frac{\left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) {\mathrm e}^{-6}}{4}\right)+3}\right)}+\ln \left(1+\frac{3 x}{\ln \left(\frac{\left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) {\mathrm e}^{-6}}{4}\right)+3}\right)\right)}{9}+\frac{\left(\ln \left(\frac{\left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) {\mathrm e}^{-6}}{4}\right)+3\right)^{2} \left(\frac{x \left(\frac{9 x}{\ln \left(\frac{\left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) {\mathrm e}^{-6}}{4}\right)+3}+6\right)}{\left(\ln \left(\frac{\left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) {\mathrm e}^{-6}}{4}\right)+3\right) \left(1+\frac{3 x}{\ln \left(\frac{\left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) {\mathrm e}^{-6}}{4}\right)+3}\right)}-2 \ln \left(1+\frac{3 x}{\ln \left(\frac{\left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) {\mathrm e}^{-6}}{4}\right)+3}\right)\right)}{9 \ln \left(\frac{\left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) {\mathrm e}^{-6}}{4}\right)+27}$&$218$\\ \hline \end{longtable}"," ",0,"x^2/(ln(1/4*exp(3)^2+1/2*exp(3)+1/4)+3*x-3)","A"
4328,1,15,14,0.020000," ","int(1/16*(88*exp(5)+(88*x+33)*exp(1))/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{11 x \,{\mathrm e}^{4}}{2}+\frac{11 x^{2}}{4}+\frac{33 x}{16}$&$15$\\ gosper&$\frac{11 x \left(4 x \,{\mathrm e}+8 \,{\mathrm e}^{5}+3 \,{\mathrm e}\right) {\mathrm e}^{-1}}{16}$&$22$\\ norman&$\frac{11 x^{2}}{4}+\frac{11 \left(8 \,{\mathrm e}^{5}+3 \,{\mathrm e}\right) {\mathrm e}^{-1} x}{16}$&$23$\\ default&$\frac{{\mathrm e}^{-1} \left(88 x \,{\mathrm e}^{5}+{\mathrm e} \left(44 x^{2}+33 x \right)\right)}{16}$&$25$\\ \hline \end{longtable}"," ",0,"11/2*x*exp(4)+11/4*x^2+33/16*x","A"
4329,1,24,19,0.105000," ","int(((100*x-100)*exp(x)*ln(3*exp(x))^2+(-625*x+625)*exp(x)*ln(3*exp(x))-625*exp(x)*x)/(256*x^2*ln(3*exp(x))^2-3200*x^2*ln(3*exp(x))+10000*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{25 \,{\mathrm e}^{x} \ln \left(3 \,{\mathrm e}^{x}\right)}{16 x \left(4 \ln \left(3 \,{\mathrm e}^{x}\right)-25\right)}$&$24$\\ risch&$\frac{25 \,{\mathrm e}^{x}}{64 x}+\frac{625 i {\mathrm e}^{x}}{64 x \left(4 i \ln \left(3\right)+4 i \ln \left({\mathrm e}^{x}\right)-25 i\right)}$&$33$\\ default&$\frac{25 \left(-4 \ln \left(3 \,{\mathrm e}^{x}\right)+4 x +25\right) \left(-\frac{{\mathrm e}^{x}}{16 \left(\ln \left(3 \,{\mathrm e}^{x}\right)-\frac{25}{4}\right)}-\frac{{\mathrm e}^{-\ln \left(3 \,{\mathrm e}^{x}\right)+x +\frac{25}{4}} \expIntegralEi \left(1, -\ln \left(3 \,{\mathrm e}^{x}\right)+\frac{25}{4}\right)}{16}\right)}{16}+\frac{625 \,{\mathrm e}^{-\ln \left(3 \,{\mathrm e}^{x}\right)+x +\frac{25}{4}} \expIntegralEi \left(1, -\ln \left(3 \,{\mathrm e}^{x}\right)+\frac{25}{4}\right)}{256}+\frac{725 \,{\mathrm e}^{x}}{256 \left(\ln \left(3 \,{\mathrm e}^{x}\right)-\frac{25}{4}\right)}+\frac{625 \left(\ln \left(3 \,{\mathrm e}^{x}\right)-x \right) \left(\frac{-\frac{{\mathrm e}^{x}}{\ln \left(3 \,{\mathrm e}^{x}\right)-\frac{25}{4}}-{\mathrm e}^{-\ln \left(3 \,{\mathrm e}^{x}\right)+x +\frac{25}{4}} \expIntegralEi \left(1, -\ln \left(3 \,{\mathrm e}^{x}\right)+\frac{25}{4}\right)}{\left(4 \ln \left(3 \,{\mathrm e}^{x}\right)-4 x -25\right)^{2}}+\frac{-\frac{{\mathrm e}^{x}}{x}-\expIntegralEi \left(1, -x \right)}{\left(4 \ln \left(3 \,{\mathrm e}^{x}\right)-4 x -25\right)^{2}}-\frac{8 \,{\mathrm e}^{-\ln \left(3 \,{\mathrm e}^{x}\right)+x +\frac{25}{4}} \expIntegralEi \left(1, -\ln \left(3 \,{\mathrm e}^{x}\right)+\frac{25}{4}\right)}{\left(4 \ln \left(3 \,{\mathrm e}^{x}\right)-4 x -25\right)^{3}}+\frac{8 \expIntegralEi \left(1, -x \right)}{\left(4 \ln \left(3 \,{\mathrm e}^{x}\right)-4 x -25\right)^{3}}\right)}{16}-\frac{25 \left(\ln \left(3 \,{\mathrm e}^{x}\right)-x \right)^{2} \left(\frac{-\frac{{\mathrm e}^{x}}{\ln \left(3 \,{\mathrm e}^{x}\right)-\frac{25}{4}}-{\mathrm e}^{-\ln \left(3 \,{\mathrm e}^{x}\right)+x +\frac{25}{4}} \expIntegralEi \left(1, -\ln \left(3 \,{\mathrm e}^{x}\right)+\frac{25}{4}\right)}{\left(4 \ln \left(3 \,{\mathrm e}^{x}\right)-4 x -25\right)^{2}}+\frac{-\frac{{\mathrm e}^{x}}{x}-\expIntegralEi \left(1, -x \right)}{\left(4 \ln \left(3 \,{\mathrm e}^{x}\right)-4 x -25\right)^{2}}-\frac{8 \,{\mathrm e}^{-\ln \left(3 \,{\mathrm e}^{x}\right)+x +\frac{25}{4}} \expIntegralEi \left(1, -\ln \left(3 \,{\mathrm e}^{x}\right)+\frac{25}{4}\right)}{\left(4 \ln \left(3 \,{\mathrm e}^{x}\right)-4 x -25\right)^{3}}+\frac{8 \expIntegralEi \left(1, -x \right)}{\left(4 \ln \left(3 \,{\mathrm e}^{x}\right)-4 x -25\right)^{3}}\right)}{4}-\frac{825 \left(\ln \left(3 \,{\mathrm e}^{x}\right)-x \right) \left(-\frac{4 \left(-\frac{{\mathrm e}^{x}}{16 \left(\ln \left(3 \,{\mathrm e}^{x}\right)-\frac{25}{4}\right)}-\frac{{\mathrm e}^{-\ln \left(3 \,{\mathrm e}^{x}\right)+x +\frac{25}{4}} \expIntegralEi \left(1, -\ln \left(3 \,{\mathrm e}^{x}\right)+\frac{25}{4}\right)}{16}\right)}{4 \ln \left(3 \,{\mathrm e}^{x}\right)-4 x -25}+\frac{{\mathrm e}^{-\ln \left(3 \,{\mathrm e}^{x}\right)+x +\frac{25}{4}} \expIntegralEi \left(1, -\ln \left(3 \,{\mathrm e}^{x}\right)+\frac{25}{4}\right)}{\left(4 \ln \left(3 \,{\mathrm e}^{x}\right)-4 x -25\right)^{2}}-\frac{\expIntegralEi \left(1, -x \right)}{\left(4 \ln \left(3 \,{\mathrm e}^{x}\right)-4 x -25\right)^{2}}\right)}{16}+\frac{25 \left(\ln \left(3 \,{\mathrm e}^{x}\right)-x \right)^{2} \left(-\frac{4 \left(-\frac{{\mathrm e}^{x}}{16 \left(\ln \left(3 \,{\mathrm e}^{x}\right)-\frac{25}{4}\right)}-\frac{{\mathrm e}^{-\ln \left(3 \,{\mathrm e}^{x}\right)+x +\frac{25}{4}} \expIntegralEi \left(1, -\ln \left(3 \,{\mathrm e}^{x}\right)+\frac{25}{4}\right)}{16}\right)}{4 \ln \left(3 \,{\mathrm e}^{x}\right)-4 x -25}+\frac{{\mathrm e}^{-\ln \left(3 \,{\mathrm e}^{x}\right)+x +\frac{25}{4}} \expIntegralEi \left(1, -\ln \left(3 \,{\mathrm e}^{x}\right)+\frac{25}{4}\right)}{\left(4 \ln \left(3 \,{\mathrm e}^{x}\right)-4 x -25\right)^{2}}-\frac{\expIntegralEi \left(1, -x \right)}{\left(4 \ln \left(3 \,{\mathrm e}^{x}\right)-4 x -25\right)^{2}}\right)}{4}+\frac{25 \left(\ln \left(3 \,{\mathrm e}^{x}\right)-x \right) \left(-\frac{{\mathrm e}^{x}}{16 \left(\ln \left(3 \,{\mathrm e}^{x}\right)-\frac{25}{4}\right)}-\frac{{\mathrm e}^{-\ln \left(3 \,{\mathrm e}^{x}\right)+x +\frac{25}{4}} \expIntegralEi \left(1, -\ln \left(3 \,{\mathrm e}^{x}\right)+\frac{25}{4}\right)}{16}\right)}{2}$&$702$\\ \hline \end{longtable}"," ",0,"25/16*exp(x)*ln(3*exp(x))/x/(4*ln(3*exp(x))-25)","A"
4330,0,0,23,0.044000," ","int(((8*x^3+8*x^2+72*x)*ln((x^2+x+9)/x)*ln(ln((x^2+x+9)/x))^2-6*x^2+54)/((4*x^4-x^3+31*x^2-45*x)*ln((x^2+x+9)/x)*ln(ln((x^2+x+9)/x))^2+(3*x^3+3*x^2+27*x)*ln((x^2+x+9)/x)*ln(ln((x^2+x+9)/x)))/ln(((4*x-5)*ln(ln((x^2+x+9)/x))+3)/ln(ln((x^2+x+9)/x))),x)","\[\int \frac{\left(8 x^{3}+8 x^{2}+72 x \right) \ln \left(\frac{x^{2}+x +9}{x}\right) \ln \left(\ln \left(\frac{x^{2}+x +9}{x}\right)\right)^{2}-6 x^{2}+54}{\left(\left(4 x^{4}-x^{3}+31 x^{2}-45 x \right) \ln \left(\frac{x^{2}+x +9}{x}\right) \ln \left(\ln \left(\frac{x^{2}+x +9}{x}\right)\right)^{2}+\left(3 x^{3}+3 x^{2}+27 x \right) \ln \left(\frac{x^{2}+x +9}{x}\right) \ln \left(\ln \left(\frac{x^{2}+x +9}{x}\right)\right)\right) \ln \left(\frac{\left(4 x -5\right) \ln \left(\ln \left(\frac{x^{2}+x +9}{x}\right)\right)+3}{\ln \left(\ln \left(\frac{x^{2}+x +9}{x}\right)\right)}\right)}\, dx\]"," ",0,"int(((8*x^3+8*x^2+72*x)*ln((x^2+x+9)/x)*ln(ln((x^2+x+9)/x))^2-6*x^2+54)/((4*x^4-x^3+31*x^2-45*x)*ln((x^2+x+9)/x)*ln(ln((x^2+x+9)/x))^2+(3*x^3+3*x^2+27*x)*ln((x^2+x+9)/x)*ln(ln((x^2+x+9)/x)))/ln(((4*x-5)*ln(ln((x^2+x+9)/x))+3)/ln(ln((x^2+x+9)/x))),x)","F"
4331,1,11,20,0.042000," ","int(exp(5)*exp((-exp(5)+2*x)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{2-\frac{{\mathrm e}^{5}}{x}}$&$11$\\ default&${\mathrm e}^{2-\frac{{\mathrm e}^{5}}{x}}$&$11$\\ gosper&${\mathrm e}^{-\frac{{\mathrm e}^{5}-2 x}{x}}$&$13$\\ risch&${\mathrm e}^{-\frac{{\mathrm e}^{5}-2 x}{x}}$&$13$\\ norman&${\mathrm e}^{\frac{-{\mathrm e}^{5}+2 x}{x}}$&$14$\\ meijerg&$-{\mathrm e}^{2} \left(1-{\mathrm e}^{-\frac{{\mathrm e}^{5}}{x}}\right)$&$17$\\ \hline \end{longtable}"," ",0,"exp(2-exp(5)/x)","A"
4332,1,25,25,0.033000," ","int((((12*x^3-12*x^2)*exp(x)+6*x^2)*ln(x)+12*exp(x)*x^2+3*x^2-54*x)/((16*exp(x)^2*x^2-16*exp(x)*x^2+4*x^2)*ln(x)^2+((-24*x^2+72*x)*exp(x)+12*x^2-36*x)*ln(x)+9*x^2-54*x+81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 x^{2}}{4 x \,{\mathrm e}^{x} \ln \left(x \right)-2 x \ln \left(x \right)-3 x +9}$&$25$\\ \hline \end{longtable}"," ",0,"-3*x^2/(4*x*exp(x)*ln(x)-2*x*ln(x)-3*x+9)","A"
4333,1,22,24,0.076000," ","int(((24*x-20)*exp(3)*exp(exp(5))*ln(x)+(12*x-20)*exp(3)*exp(exp(5)))/(9*x^4-30*x^3+25*x^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4 \,{\mathrm e}^{3} {\mathrm e}^{{\mathrm e}^{5}}}{x \left(3 x -5\right) \ln \left(x \right)}$&$22$\\ risch&$-\frac{4 \,{\mathrm e}^{3+{\mathrm e}^{5}}}{\ln \left(x \right) \left(3 x -5\right) x}$&$22$\\ \hline \end{longtable}"," ",0,"-4*exp(3)*exp(exp(5))/x/(3*x-5)/ln(x)","A"
4334,1,41,23,0.146000," ","int(((360*x*exp(1/5*x)-360*x^2+1800*x)*ln((-15*exp(1/5*x)+15*x-75)/x)+(2*(-72*x+360)*ln(2)+72*x^2-360*x)*exp(1/5*x)+3600*ln(2)-1800*x)/(5*x*exp(1/5*x)-5*x^2+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-144 \ln \left(2\right) \ln \left(\frac{-15 \,{\mathrm e}^{\frac{x}{5}}+15 x -75}{x}\right)+72 x \ln \left(\frac{-15 \,{\mathrm e}^{\frac{x}{5}}+15 x -75}{x}\right)$&$41$\\ risch&$72 x \ln \left(x -{\mathrm e}^{\frac{x}{5}}-5\right)-72 x \ln \left(x \right)-36 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -{\mathrm e}^{\frac{x}{5}}-5\right)\right) \mathrm{csgn}\left(\frac{i \left(x -{\mathrm e}^{\frac{x}{5}}-5\right)}{x}\right)+36 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -{\mathrm e}^{\frac{x}{5}}-5\right)}{x}\right)^{2}+36 i \pi  x \,\mathrm{csgn}\left(i \left(x -{\mathrm e}^{\frac{x}{5}}-5\right)\right) \mathrm{csgn}\left(\frac{i \left(x -{\mathrm e}^{\frac{x}{5}}-5\right)}{x}\right)^{2}-36 i \pi  x \mathrm{csgn}\left(\frac{i \left(x -{\mathrm e}^{\frac{x}{5}}-5\right)}{x}\right)^{3}+72 x \ln \left(5\right)+72 x \ln \left(3\right)+144 \ln \left(2\right) \ln \left(x \right)-144 \ln \left(2\right) \ln \left({\mathrm e}^{\frac{x}{5}}-x +5\right)$&$180$\\ \hline \end{longtable}"," ",0,"-144*ln(2)*ln((-15*exp(1/5*x)+15*x-75)/x)+72*x*ln((-15*exp(1/5*x)+15*x-75)/x)","A"
4335,1,176,17,0.080000," ","int(((1+5*x)*exp(5*x)*ln(x^3)+3*exp(5*x)-exp(x))/(x*exp(5*x)*ln(x^3)-2-exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x +\ln \left(x \right)+\ln \left(\ln \left(x \right)-\frac{i \left({\mathrm e}^{5 x} x \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \,{\mathrm e}^{5 x} x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+{\mathrm e}^{5 x} x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-{\mathrm e}^{5 x} x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+{\mathrm e}^{5 x} x \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-{\mathrm e}^{5 x} x \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+{\mathrm e}^{5 x} x \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}-2 i {\mathrm e}^{x}-4 i\right) {\mathrm e}^{-5 x}}{6 x}\right)$&$176$\\ \hline \end{longtable}"," ",0,"5*x+ln(x)+ln(ln(x)-1/6*I*(exp(5*x)*x*Pi*csgn(I*x)^2*csgn(I*x^2)-2*exp(5*x)*x*Pi*csgn(I*x)*csgn(I*x^2)^2+exp(5*x)*x*Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-exp(5*x)*x*Pi*csgn(I*x)*csgn(I*x^3)^2+exp(5*x)*x*Pi*csgn(I*x^2)^3-exp(5*x)*x*Pi*csgn(I*x^2)*csgn(I*x^3)^2+exp(5*x)*x*Pi*csgn(I*x^3)^3-2*I*exp(x)-4*I)*exp(-5*x)/x)","C"
4336,1,38,33,0.056000," ","int((-x*exp(3)*exp(exp(5)-2)^2*ln(x)+((-x^2+2*x)*exp(3)*exp(x)-2*x*exp(3)^2+(x-1)*exp(3))*exp(exp(5)-2)^2+x*exp(3)*exp(exp(5)-2))/(x*exp(exp(5)-2)^2*ln(x)^2+((-2*exp(x)*x+(-2*x^2+6*x)*exp(3))*exp(exp(5)-2)^2-2*x*exp(exp(5)-2))*ln(x)+(x*exp(x)^2+(2*x^2-6*x)*exp(3)*exp(x)+(x^3-6*x^2+9*x)*exp(3)^2)*exp(exp(5)-2)^2+(2*exp(x)*x+(2*x^2-6*x)*exp(3))*exp(exp(5)-2)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x -1\right) {\mathrm e}^{{\mathrm e}^{5}}}{{\mathrm e}^{{\mathrm e}^{5}-3+x}-\ln \left(x \right) {\mathrm e}^{{\mathrm e}^{5}-3}+x \,{\mathrm e}^{{\mathrm e}^{5}}+{\mathrm e}^{-1}-3 \,{\mathrm e}^{{\mathrm e}^{5}}}$&$38$\\ \hline \end{longtable}"," ",0,"(x-1)*exp(exp(5))/(exp(exp(5)-3+x)-ln(x)*exp(exp(5)-3)+x*exp(exp(5))+exp(-1)-3*exp(exp(5)))","A"
4337,1,2480,24,0.468000," ","int((((x*ln(3)-x^3)*ln(x^2)^2-2*x^2*ln(x^2))*ln(((ln(3)-x^2)*ln(x^2)-2*x)/x/ln(x^2))+((2-x)*ln(3)-x^3+2*x^2)*ln(x-2)*ln(x^2)^2+(4*x^2-8*x)*ln(x-2))/(((x^2-2*x)*ln(3)-x^4+2*x^3)*ln(x^2)^2+(-2*x^3+4*x^2)*ln(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2480$\\ \hline \end{longtable}"," ",0,"ln(x-2)*ln(-4*I*x-Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+Pi*ln(3)*csgn(I*x)^2*csgn(I*x^2)+2*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-2*Pi*ln(3)*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(3)*ln(x)-Pi*x^2*csgn(I*x^2)^3+Pi*ln(3)*csgn(I*x^2)^3-4*I*x^2*ln(x))-ln(x-2)*ln(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)-ln(x)*ln(x-2)-1/2*I*Pi*ln(x-2)*csgn(I/x)*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-4*I*x-Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+Pi*ln(3)*csgn(I*x)^2*csgn(I*x^2)+2*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-2*Pi*ln(3)*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(3)*ln(x)-Pi*x^2*csgn(I*x^2)^3+Pi*ln(3)*csgn(I*x^2)^3-4*I*x^2*ln(x)))*csgn(I/x*(-4*I*x-Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+Pi*ln(3)*csgn(I*x)^2*csgn(I*x^2)+2*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-2*Pi*ln(3)*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(3)*ln(x)-Pi*x^2*csgn(I*x^2)^3+Pi*ln(3)*csgn(I*x^2)^3-4*I*x^2*ln(x))/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))+1/2*I*Pi*ln(x-2)*csgn(I/x)*csgn(I/x*(-4*I*x-Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+Pi*ln(3)*csgn(I*x)^2*csgn(I*x^2)+2*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-2*Pi*ln(3)*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(3)*ln(x)-Pi*x^2*csgn(I*x^2)^3+Pi*ln(3)*csgn(I*x^2)^3-4*I*x^2*ln(x))/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2-1/2*I*Pi*ln(x-2)*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(I*(-4*I*x-Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+Pi*ln(3)*csgn(I*x)^2*csgn(I*x^2)+2*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-2*Pi*ln(3)*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(3)*ln(x)-Pi*x^2*csgn(I*x^2)^3+Pi*ln(3)*csgn(I*x^2)^3-4*I*x^2*ln(x)))*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-4*I*x-Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+Pi*ln(3)*csgn(I*x)^2*csgn(I*x^2)+2*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-2*Pi*ln(3)*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(3)*ln(x)-Pi*x^2*csgn(I*x^2)^3+Pi*ln(3)*csgn(I*x^2)^3-4*I*x^2*ln(x)))+1/2*I*Pi*ln(x-2)*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-4*I*x-Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+Pi*ln(3)*csgn(I*x)^2*csgn(I*x^2)+2*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-2*Pi*ln(3)*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(3)*ln(x)-Pi*x^2*csgn(I*x^2)^3+Pi*ln(3)*csgn(I*x^2)^3-4*I*x^2*ln(x)))^2+1/2*I*Pi*ln(x-2)*csgn(I*(-4*I*x-Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+Pi*ln(3)*csgn(I*x)^2*csgn(I*x^2)+2*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-2*Pi*ln(3)*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(3)*ln(x)-Pi*x^2*csgn(I*x^2)^3+Pi*ln(3)*csgn(I*x^2)^3-4*I*x^2*ln(x)))*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-4*I*x-Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+Pi*ln(3)*csgn(I*x)^2*csgn(I*x^2)+2*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-2*Pi*ln(3)*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(3)*ln(x)-Pi*x^2*csgn(I*x^2)^3+Pi*ln(3)*csgn(I*x^2)^3-4*I*x^2*ln(x)))^2-1/2*I*Pi*ln(x-2)*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-4*I*x-Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+Pi*ln(3)*csgn(I*x)^2*csgn(I*x^2)+2*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-2*Pi*ln(3)*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(3)*ln(x)-Pi*x^2*csgn(I*x^2)^3+Pi*ln(3)*csgn(I*x^2)^3-4*I*x^2*ln(x)))^3+1/2*I*Pi*ln(x-2)*csgn(I/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(-4*I*x-Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+Pi*ln(3)*csgn(I*x)^2*csgn(I*x^2)+2*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-2*Pi*ln(3)*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(3)*ln(x)-Pi*x^2*csgn(I*x^2)^3+Pi*ln(3)*csgn(I*x^2)^3-4*I*x^2*ln(x)))*csgn(I/x*(-4*I*x-Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+Pi*ln(3)*csgn(I*x)^2*csgn(I*x^2)+2*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-2*Pi*ln(3)*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(3)*ln(x)-Pi*x^2*csgn(I*x^2)^3+Pi*ln(3)*csgn(I*x^2)^3-4*I*x^2*ln(x))/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2-1/2*I*Pi*ln(x-2)*csgn(I/x*(-4*I*x-Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+Pi*ln(3)*csgn(I*x)^2*csgn(I*x^2)+2*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-2*Pi*ln(3)*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(3)*ln(x)-Pi*x^2*csgn(I*x^2)^3+Pi*ln(3)*csgn(I*x^2)^3-4*I*x^2*ln(x))/(Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^3","C"
4338,1,26,28,0.032000," ","int((-24*exp(x)^2+(-4*x^2-8*x+40)*exp(x)-16*x+16)/(3*x*exp(x)^2+(-x^2-5*x)*exp(x)-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-8 \ln \left(x \right)+8 x -4 \ln \left({\mathrm e}^{2 x}+\left(-\frac{x}{3}-\frac{5}{3}\right) {\mathrm e}^{x}-\frac{2}{3}\right)$&$26$\\ norman&$8 x -8 \ln \left(x \right)-4 \ln \left({\mathrm e}^{x} x -3 \,{\mathrm e}^{2 x}+5 \,{\mathrm e}^{x}+2\right)$&$28$\\ \hline \end{longtable}"," ",0,"-8*ln(x)+8*x-4*ln(exp(2*x)+(-1/3*x-5/3)*exp(x)-2/3)","A"
4339,0,0,27,180.000000," ","int(((5*exp(x)*x^4-20*x^3)*ln(x^2)^8-80*x^3*ln(x^2)^7+(10*exp(x)*x^3-30*x^2)*ln(x^2)^4-80*x^2*ln(x^2)^3+(5*x^2-5*x+25)*exp(x)-10*x+5)*exp(exp(x))/(x^8*ln(x^2)^16+4*x^7*ln(x^2)^12+(6*x^6-2*x^5+10*x^4)*ln(x^2)^8+(4*x^5-4*x^4+20*x^3)*ln(x^2)^4+x^4-2*x^3+11*x^2-10*x+25),x)","\[\int \frac{\left(\left(5 \,{\mathrm e}^{x} x^{4}-20 x^{3}\right) \ln \left(x^{2}\right)^{8}-80 x^{3} \ln \left(x^{2}\right)^{7}+\left(10 \,{\mathrm e}^{x} x^{3}-30 x^{2}\right) \ln \left(x^{2}\right)^{4}-80 x^{2} \ln \left(x^{2}\right)^{3}+\left(5 x^{2}-5 x +25\right) {\mathrm e}^{x}-10 x +5\right) {\mathrm e}^{{\mathrm e}^{x}}}{x^{8} \ln \left(x^{2}\right)^{16}+4 x^{7} \ln \left(x^{2}\right)^{12}+\left(6 x^{6}-2 x^{5}+10 x^{4}\right) \ln \left(x^{2}\right)^{8}+\left(4 x^{5}-4 x^{4}+20 x^{3}\right) \ln \left(x^{2}\right)^{4}+x^{4}-2 x^{3}+11 x^{2}-10 x +25}\, dx\]"," ",0,"int(((5*exp(x)*x^4-20*x^3)*ln(x^2)^8-80*x^3*ln(x^2)^7+(10*exp(x)*x^3-30*x^2)*ln(x^2)^4-80*x^2*ln(x^2)^3+(5*x^2-5*x+25)*exp(x)-10*x+5)*exp(exp(x))/(x^8*ln(x^2)^16+4*x^7*ln(x^2)^12+(6*x^6-2*x^5+10*x^4)*ln(x^2)^8+(4*x^5-4*x^4+20*x^3)*ln(x^2)^4+x^4-2*x^3+11*x^2-10*x+25),x)","F"
4340,1,23,22,0.219000," ","int((((x*exp(3)-81*x)*exp(2+x)-4*exp(3)+324)*exp(1/4*exp(2+x))-8*exp(3)+648)/(4*exp(1/4*exp(2+x))^2+(-16*x+16)*exp(1/4*exp(2+x))+16*x^2-32*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left({\mathrm e}^{3}-81\right) x}{2 x -2-{\mathrm e}^{\frac{{\mathrm e}^{2+x}}{4}}}$&$23$\\ norman&$\frac{\left(-\frac{81}{2}+\frac{{\mathrm e}^{3}}{2}\right) {\mathrm e}^{\frac{{\mathrm e}^{2+x}}{4}}-81+{\mathrm e}^{3}}{2 x -2-{\mathrm e}^{\frac{{\mathrm e}^{2+x}}{4}}}$&$36$\\ \hline \end{longtable}"," ",0,"(exp(3)-81)/(2*x-2-exp(1/4*exp(2+x)))*x","A"
4341,1,15,16,0.040000," ","int((exp(x)*x^3-x^3-6*x^2)*exp(1/2*x-1/2*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 x^{3} {\mathrm e}^{\frac{x}{2}-\frac{{\mathrm e}^{x}}{2}}$&$15$\\ risch&$-2 x^{3} {\mathrm e}^{\frac{x}{2}-\frac{{\mathrm e}^{x}}{2}}$&$15$\\ \hline \end{longtable}"," ",0,"-2*x^3*exp(1/2*x-1/2*exp(x))","A"
4342,1,30,22,0.062000," ","int(1/2*(((4*x^4+20*x^3-2*x^2)*ln(7)+2*x^2+1)*exp(x^2*ln(7)+5)+4*x^3+10*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+5 x +\frac{\left(2 x^{2}+10 x -1\right) 7^{x^{2}} {\mathrm e}^{5}}{2 x}$&$30$\\ default&$x \,{\mathrm e}^{x^{2} \ln \left(7\right)+5}+5 \,{\mathrm e}^{x^{2} \ln \left(7\right)+5}-\frac{{\mathrm e}^{x^{2} \ln \left(7\right)+5}}{2 x}+x^{2}+5 x$&$44$\\ norman&$\frac{x^{3}+{\mathrm e}^{x^{2} \ln \left(7\right)+5} x^{2}+5 x^{2}+5 x \,{\mathrm e}^{x^{2} \ln \left(7\right)+5}-\frac{{\mathrm e}^{x^{2} \ln \left(7\right)+5}}{2}}{x}$&$50$\\ \hline \end{longtable}"," ",0,"x^2+5*x+1/2*(2*x^2+10*x-1)/x*7^(x^2)*exp(5)","A"
4343,1,26,27,0.117000," ","int(((-2*x*exp(2*ln(2)-3)*exp(exp(-3+exp(exp(x))))-8*x*exp(2*ln(2)-3))*ln(exp(exp(-3+exp(exp(x))))+4)+(x^2*exp(x)*exp(2*ln(2)-3)*exp(exp(x))*exp(-3+exp(exp(x)))-15*exp(2*ln(2)-3))*exp(exp(-3+exp(exp(x))))-60*exp(2*ln(2)-3))/(x^4*exp(exp(-3+exp(exp(x))))+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-3} \ln \left({\mathrm e}^{{\mathrm e}^{-3+{\mathrm e}^{{\mathrm e}^{x}}}}+4\right)}{x^{2}}+\frac{20 \,{\mathrm e}^{-3}}{x^{3}}$&$26$\\ \hline \end{longtable}"," ",0,"4*exp(-3)/x^2*ln(exp(exp(-3+exp(exp(x))))+4)+20/x^3*exp(-3)","A"
4344,1,28,22,0.067000," ","int(((2*x^5-4*x^4+x^3-16*x^2+16)*exp(x^2)-4*x^6+6*x^5+8*x^3)/((x^4-2*x^3-8*x)*exp(x^2)-x^7+2*x^6+8*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 \ln \left(x \right)+\ln \left(x^{3}-{\mathrm e}^{x^{2}}\right)+\ln \left(x^{3}-2 x^{2}-8\right)$&$28$\\ risch&$-2 \ln \left(x \right)+\ln \left(x^{3}-2 x^{2}-8\right)+\ln \left(-x^{3}+{\mathrm e}^{x^{2}}\right)$&$28$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+ln(x^3-exp(x^2))+ln(x^3-2*x^2-8)","A"
4345,1,18,22,0.044000," ","int(1/2*(-3*x*exp(9)*ln(4*x)-6*ln(12))/x/ln(12)/ln(4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{3 \,{\mathrm e}^{9} x}{2 \ln \left(12\right)}-3 \ln \left(\ln \left(4 x \right)\right)$&$18$\\ derivativedivides&$\frac{-\frac{3 x \,{\mathrm e}^{9}}{2}-3 \ln \left(12\right) \ln \left(\ln \left(4 x \right)\right)}{\ln \left(12\right)}$&$22$\\ default&$\frac{-\frac{3 x \,{\mathrm e}^{9}}{2}-3 \ln \left(12\right) \ln \left(\ln \left(4 x \right)\right)}{\ln \left(12\right)}$&$22$\\ risch&$-\frac{3 x \,{\mathrm e}^{9}}{2 \left(\ln \left(3\right)+2 \ln \left(2\right)\right)}-\frac{6 \ln \left(\ln \left(4 x \right)\right) \ln \left(2\right)}{\ln \left(3\right)+2 \ln \left(2\right)}-\frac{3 \ln \left(\ln \left(4 x \right)\right) \ln \left(3\right)}{\ln \left(3\right)+2 \ln \left(2\right)}$&$52$\\ \hline \end{longtable}"," ",0,"-3/2*exp(9)/ln(12)*x-3*ln(ln(4*x))","A"
4346,1,8,11,0.011000," ","int(-1/2/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{2 \ln \left(2\right)}$&$8$\\ norman&$-\frac{x}{2 \ln \left(2\right)}$&$8$\\ risch&$-\frac{x}{2 \ln \left(2\right)}$&$8$\\ \hline \end{longtable}"," ",0,"-1/2*x/ln(2)","A"
4347,1,16,22,0.063000," ","int((3*x^2+9*x-4)*exp(x)/(9*x^4+90*x^3+291*x^2+330*x+121),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{x}}{3 x^{2}+15 x +11}$&$16$\\ norman&$\frac{{\mathrm e}^{x}}{3 x^{2}+15 x +11}$&$16$\\ risch&$\frac{{\mathrm e}^{x}}{3 x^{2}+15 x +11}$&$16$\\ default&$\frac{4 \,{\mathrm e}^{x} \left(5+2 x \right)}{31 \left(3 x^{2}+15 x +11\right)}+\frac{3 \,{\mathrm e}^{x} \left(15 x +22\right)}{31 \left(3 x^{2}+15 x +11\right)}-\frac{{\mathrm e}^{x} \left(53 x +55\right)}{31 \left(3 x^{2}+15 x +11\right)}$&$65$\\ \hline \end{longtable}"," ",0,"exp(x)/(3*x^2+15*x+11)","A"
4348,1,37,27,0.431000," ","int((((16*x+8)*ln(ln(5))^2+(-32*x^2-24*x-4)*ln(ln(5))+16*x^3+16*x^2+4*x)*ln((-2*ln(ln(5))+2*x+1)/(ln(ln(5))-x))^2+((32*x^2+16*x)*ln(ln(5))^2+(-64*x^3-48*x^2-8*x)*ln(ln(5))+32*x^4+32*x^3+8*x^2)*ln((-2*ln(ln(5))+2*x+1)/(ln(ln(5))-x))+(16*x^3+8*x^2-8)*ln(ln(5))^2+(-32*x^4-24*x^3-4*x^2+16*x+4)*ln(ln(5))+16*x^5+16*x^4+4*x^3-8*x^2-4*x+4)/((2*ln(ln(5))^2+(-4*x-1)*ln(ln(5))+2*x^2+x)*ln((-2*ln(ln(5))+2*x+1)/(ln(ln(5))-x))^2+(4*x*ln(ln(5))^2+(-8*x^2-2*x)*ln(ln(5))+4*x^3+2*x^2)*ln((-2*ln(ln(5))+2*x+1)/(ln(ln(5))-x))+2*x^2*ln(ln(5))^2+(-4*x^3-x^2)*ln(ln(5))+2*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2}+4 x +\frac{4}{x +\ln \left(\frac{-2 \ln \left(\ln \left(5\right)\right)+2 x +1}{\ln \left(\ln \left(5\right)\right)-x}\right)}$&$37$\\ norman&$\frac{4+4 x \ln \left(\frac{-2 \ln \left(\ln \left(5\right)\right)+2 x +1}{\ln \left(\ln \left(5\right)\right)-x}\right)+4 x^{2}+4 x^{3}+4 \ln \left(\frac{-2 \ln \left(\ln \left(5\right)\right)+2 x +1}{\ln \left(\ln \left(5\right)\right)-x}\right) x^{2}}{x +\ln \left(\frac{-2 \ln \left(\ln \left(5\right)\right)+2 x +1}{\ln \left(\ln \left(5\right)\right)-x}\right)}$&$89$\\ \hline \end{longtable}"," ",0,"4*x^2+4*x+4/(x+ln((-2*ln(ln(5))+2*x+1)/(ln(ln(5))-x)))","A"
4349,1,21,20,0.091000," ","int(1/8*((exp(x)*x+8*x)*exp(1/4*exp(x)+2*x)*exp(ln(x)^2)*exp(exp(1/4*exp(x)+2*x)-4)+8*ln(x)*exp(ln(x)^2))*exp(exp(exp(1/4*exp(x)+2*x)-4))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\ln \left(x \right)^{2}+{\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{x}}{4}+2 x}-4}}}{2}$&$21$\\ \hline \end{longtable}"," ",0,"1/2*exp(ln(x)^2+exp(exp(1/4*exp(x)+2*x)-4))","A"
4350,1,8,18,0.013000," ","int((x^2-3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{3}{x}$&$8$\\ risch&$x +\frac{3}{x}$&$8$\\ gosper&$\frac{x^{2}+3}{x}$&$10$\\ norman&$\frac{x^{2}+3}{x}$&$10$\\ \hline \end{longtable}"," ",0,"x+3/x","A"
4351,1,11,13,0.078000," ","int(1/12*(2*x^2-1)/x/exp(1/12*ln(x)-1/12*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{x^{2}}{12}}}{x^{\frac{1}{12}}}$&$11$\\ gosper&${\mathrm e}^{\ln \left(\frac{1}{x^{\frac{1}{12}}}\right)+\frac{x^{2}}{12}}$&$14$\\ norman&${\mathrm e}^{\ln \left(\frac{1}{x^{\frac{1}{12}}}\right)+\frac{x^{2}}{12}}$&$14$\\ \hline \end{longtable}"," ",0,"1/x^(1/12)*exp(1/12*x^2)","A"
4352,1,24,24,0.069000," ","int((-8*ln(2)*exp(x^2)^4+(-64*ln(2)+24*x^2+6)*exp(x^2)^2-128*ln(2)+24)/(x^2*exp(x^2)^4+8*x^2*exp(x^2)^2+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 \ln \left(2\right)}{x}-\frac{6}{x \left({\mathrm e}^{2 x^{2}}+4\right)}$&$24$\\ norman&$\frac{-6+8 \ln \left(2\right) {\mathrm e}^{2 x^{2}}+32 \ln \left(2\right)}{x \left({\mathrm e}^{2 x^{2}}+4\right)}$&$31$\\ \hline \end{longtable}"," ",0,"8*ln(2)/x-6/x/(exp(2*x^2)+4)","A"
4353,1,23,17,0.069000," ","int(((x^3-2500)*exp((4*x^2+625)/x^2)^2+x^4+x^3)*exp(x+10)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{3}+18 x^{2}+1250}{x^{2}}}+x \,{\mathrm e}^{x +10}$&$23$\\ norman&$\frac{x^{3} {\mathrm e}^{x +10}+x^{2} {\mathrm e}^{x +10} {\mathrm e}^{\frac{8 x^{2}+1250}{x^{2}}}}{x^{2}}$&$36$\\ \hline \end{longtable}"," ",0,"exp((x^3+18*x^2+1250)/x^2)+x*exp(x+10)","A"
4354,1,25,22,0.030000," ","int(((exp(1)+16*x^3)*ln((exp(1)-3)*exp(3))+2*exp(1)+32*x^3)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left(2+\ln \left(\left({\mathrm e}-3\right) {\mathrm e}^{3}\right)\right) x \left(4 x^{3}+{\mathrm e}\right) {\mathrm e}^{-1}$&$25$\\ norman&$\left(\ln \left({\mathrm e}-3\right)+5\right) x +4 \left(\ln \left({\mathrm e}-3\right)+5\right) {\mathrm e}^{-1} x^{4}$&$27$\\ default&${\mathrm e}^{-1} \left(\ln \left(\left({\mathrm e}-3\right) {\mathrm e}^{3}\right) \left(4 x^{4}+x \,{\mathrm e}\right)+2 x \,{\mathrm e}+8 x^{4}\right)$&$36$\\ risch&$4 i {\mathrm e}^{-1} \pi  \,x^{4}+4 \,{\mathrm e}^{-1} \ln \left(3-{\mathrm e}\right) x^{4}+i \pi  x +20 x^{4} {\mathrm e}^{-1}+\ln \left(3-{\mathrm e}\right) x +5 x$&$49$\\ \hline \end{longtable}"," ",0,"(2+ln((exp(1)-3)*exp(3)))*x*(4*x^3+exp(1))/exp(1)","A"
4355,1,30,19,0.067000," ","int((x^8+6*x^7+18*x^6+32*x^5+36*x^4+24*x^3+14*x^2+8*x+4)/((x^9+6*x^8+18*x^7+32*x^6+36*x^5+24*x^4+8*x^3)*ln(x)-x^3-2*x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)-\frac{1}{x^{2} \left(x^{4}+4 x^{3}+8 x^{2}+8 x +4\right)}\right)$&$30$\\ norman&$-2 \ln \left(x \right)-2 \ln \left(x^{2}+2 x +2\right)+\ln \left(x^{6} \ln \left(x \right)+4 x^{5} \ln \left(x \right)+8 x^{4} \ln \left(x \right)+8 x^{3} \ln \left(x \right)+4 x^{2} \ln \left(x \right)-1\right)$&$54$\\ \hline \end{longtable}"," ",0,"ln(ln(x)-1/x^2/(x^4+4*x^3+8*x^2+8*x+4))","A"
4356,1,32,20,0.192000," ","int((128*exp(x)^2*x^2-128*ln(2)-8)*exp((64*x*exp(x)^2+(-64*x+128)*ln(2)-4*x+8)/(16*x*ln(2)+x))/(16*x^2*ln(2)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{64 x \,{\mathrm e}^{2 x}+\left(-64 x +128\right) \ln \left(2\right)-4 x +8}{16 x \ln \left(2\right)+x}}$&$32$\\ risch&${\mathrm e}^{-\frac{4 \left(16 x \ln \left(2\right)-16 x \,{\mathrm e}^{2 x}-32 \ln \left(2\right)+x -2\right)}{x \left(16 \ln \left(2\right)+1\right)}}$&$34$\\ \hline \end{longtable}"," ",0,"exp((64*x*exp(x)^2+(-64*x+128)*ln(2)-4*x+8)/(16*x*ln(2)+x))","A"
4357,1,23,27,0.042000," ","int(((-4*x^3+120*x^2-900*x)*ln(2*x)*ln(ln(2*x))*ln(ln(ln(2*x)))^2-130*x*ln(2*x)*ln(ln(2*x))*ln(ln(ln(2*x)))-10*x^2+170*x-300)/(x^3-30*x^2+225*x)/ln(2*x)/ln(ln(2*x))/ln(ln(ln(2*x)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x +\frac{10 x -20}{\left(x -15\right) \ln \left(\ln \left(\ln \left(2 x \right)\right)\right)}$&$23$\\ \hline \end{longtable}"," ",0,"-4*x+10*(x-2)/(x-15)/ln(ln(ln(2*x)))","A"
4358,1,26,18,0.020000," ","int(-11*x*exp(1)^4+(-22*x+44)*exp(1)^2-11*x+55,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{11 x \left(x \,{\mathrm e}^{4}+2 \,{\mathrm e}^{2} x -8 \,{\mathrm e}^{2}+x -10\right)}{2}$&$26$\\ risch&$-\frac{11 x^{2} {\mathrm e}^{4}}{2}-11 x^{2} {\mathrm e}^{2}+44 \,{\mathrm e}^{2} x -\frac{11 x^{2}}{2}+55 x$&$29$\\ norman&$\left(44 \,{\mathrm e}^{2}+55\right) x +\left(-\frac{11 \,{\mathrm e}^{4}}{2}-11 \,{\mathrm e}^{2}-\frac{11}{2}\right) x^{2}$&$30$\\ default&$-\frac{11 x^{2} {\mathrm e}^{4}}{2}+{\mathrm e}^{2} \left(-11 x^{2}+44 x \right)-\frac{11 x^{2}}{2}+55 x$&$33$\\ \hline \end{longtable}"," ",0,"-11/2*x*(x*exp(1)^4+2*x*exp(1)^2-8*exp(1)^2+x-10)","A"
4359,1,23,22,0.042000," ","int(((-x*exp(1)^2-20*x*exp(1)-100*x)*exp(9)^2-6*x+2)/(2*x*ln(x)+(-x^2*exp(1)^2-20*x^2*exp(1)-100*x^2)*exp(9)^2-6*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-\frac{x \,{\mathrm e}^{20}}{2}-10 \,{\mathrm e}^{19} x -50 \,{\mathrm e}^{18} x -3 x +\ln \left(x \right)\right)$&$23$\\ norman&$\ln \left({\mathrm e}^{2} {\mathrm e}^{18} x +20 \,{\mathrm e} \,{\mathrm e}^{18} x +100 \,{\mathrm e}^{18} x +6 x -2 \ln \left(x \right)\right)$&$36$\\ \hline \end{longtable}"," ",0,"ln(-1/2*x*exp(20)-10*exp(19)*x-50*exp(18)*x-3*x+ln(x))","A"
4360,1,14,19,0.044000," ","int((-4*x-12)/((4+x)*ln(4+x)^2+(-2*x^2-20*x-48)*ln(4+x)+x^3+16*x^2+84*x+144),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4}{x +6-\ln \left(4+x \right)}$&$14$\\ risch&$\frac{4}{x +6-\ln \left(4+x \right)}$&$14$\\ \hline \end{longtable}"," ",0,"4/(x+6-ln(4+x))","A"
4361,1,7,6,0.016000," ","int(2*ln(-5*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(-5 x \right)^{2}$&$7$\\ default&$\ln \left(-5 x \right)^{2}$&$7$\\ norman&$\ln \left(-5 x \right)^{2}$&$7$\\ risch&$\ln \left(-5 x \right)^{2}$&$7$\\ \hline \end{longtable}"," ",0,"ln(-5*x)^2","A"
4362,1,30,30,0.200000," ","int((((-2*x+13)*exp(4)-2*x^3+11*x^2+12*x+13)*exp(x)^2-exp(4)-3*x^2+6*x-1)/(((x-7)*exp(4)+x^3-7*x^2+x-7)*exp(x)^2+(x-3)*exp(4)+x^3-3*x^2+x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x^{2}+{\mathrm e}^{4}+1\right)-\ln \left(x \,{\mathrm e}^{2 x}-7 \,{\mathrm e}^{2 x}+x -3\right)$&$30$\\ risch&$-\ln \left(x^{3}-7 x^{2}+\left({\mathrm e}^{4}+1\right) x -7 \,{\mathrm e}^{4}-7\right)-\ln \left({\mathrm e}^{2 x}+\frac{x -3}{x -7}\right)$&$42$\\ \hline \end{longtable}"," ",0,"-ln(x^2+exp(4)+1)-ln(x*exp(x)^2-7*exp(x)^2+x-3)","A"
4363,1,29,25,0.079000," ","int((((x^2*exp(5)+2*x^3+10)*exp(x)+10*x^2)*ln(x)+(-x^2*exp(5)-2*x^3+2*x-10)*exp(x)-10*x^2)/(2*x^2*exp(x)*ln(x)-2*exp(x)*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-10+x^{3}+x^{2} {\mathrm e}^{5}}{2 x}+\ln \left(\ln \left(x \right)-1\right)-5 \,{\mathrm e}^{-x}$&$29$\\ risch&$\frac{\left(x^{2} {\mathrm e}^{5+x}+{\mathrm e}^{x} x^{3}-10 x -10 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{2 x}+\ln \left(\ln \left(x \right)-1\right)$&$38$\\ norman&$\frac{\left(-5 x +\frac{{\mathrm e}^{x} x^{3}}{2}+\frac{x^{2} {\mathrm e}^{5} {\mathrm e}^{x}}{2}-5 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{x}+\ln \left(\ln \left(x \right)-1\right)$&$39$\\ \hline \end{longtable}"," ",0,"1/2*(-10+x^3+x^2*exp(5))/x+ln(ln(x)-1)-5/exp(x)","A"
4364,1,18,18,0.159000," ","int((-8*exp(4)-2)/(2*exp(4)*ln(5)-8*x*exp(4)+3-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\left(-8 \,{\mathrm e}^{4}-2\right) x +2 \,{\mathrm e}^{4} \ln \left(5\right)+3\right)$&$18$\\ norman&$\ln \left(2 \,{\mathrm e}^{4} \ln \left(5\right)-8 x \,{\mathrm e}^{4}+3-2 x \right)$&$18$\\ risch&$\frac{4 \ln \left(\left(-8 \,{\mathrm e}^{4}-2\right) x +2 \,{\mathrm e}^{4} \ln \left(5\right)+3\right) {\mathrm e}^{4}}{4 \,{\mathrm e}^{4}+1}+\frac{\ln \left(\left(-8 \,{\mathrm e}^{4}-2\right) x +2 \,{\mathrm e}^{4} \ln \left(5\right)+3\right)}{4 \,{\mathrm e}^{4}+1}$&$57$\\ meijerg&$\frac{4 \,{\mathrm e}^{4} \ln \left(1-\frac{2 x \left(4 \,{\mathrm e}^{4}+1\right)}{2 \,{\mathrm e}^{4} \ln \left(5\right)+3}\right)}{4 \,{\mathrm e}^{4}+1}+\frac{\ln \left(1-\frac{2 x \left(4 \,{\mathrm e}^{4}+1\right)}{2 \,{\mathrm e}^{4} \ln \left(5\right)+3}\right)}{4 \,{\mathrm e}^{4}+1}$&$67$\\ \hline \end{longtable}"," ",0,"ln((-8*exp(4)-2)*x+2*exp(4)*ln(5)+3)","A"
4365,1,10,10,0.025000," ","int(exp(x)+20*exp(5)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +20 x \,{\mathrm e}^{5}+{\mathrm e}^{x}$&$10$\\ risch&$x +20 x \,{\mathrm e}^{5}+{\mathrm e}^{x}$&$10$\\ norman&$\left(20 \,{\mathrm e}^{5}+1\right) x +{\mathrm e}^{x}$&$12$\\ derivativedivides&${\mathrm e}^{x}+\left(20 \,{\mathrm e}^{5}+1\right) \ln \left({\mathrm e}^{x}\right)$&$14$\\ \hline \end{longtable}"," ",0,"x+20*x*exp(5)+exp(x)","A"
4366,1,13,14,0.043000," ","int((5*x*exp(x)*exp(exp(x))-1)*exp(5*exp(exp(x))-99/4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{5 \,{\mathrm e}^{{\mathrm e}^{x}}-\frac{99}{4}}}{x}$&$13$\\ risch&$\frac{{\mathrm e}^{5 \,{\mathrm e}^{{\mathrm e}^{x}}-\frac{99}{4}}}{x}$&$13$\\ \hline \end{longtable}"," ",0,"exp(5*exp(exp(x))-99/4)/x","A"
4367,1,7,16,0.011000," ","int(-125/8*x+125/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{125 \left(x -4\right) x}{16}$&$7$\\ default&$-\frac{125}{16} x^{2}+\frac{125}{4} x$&$10$\\ norman&$-\frac{125}{16} x^{2}+\frac{125}{4} x$&$10$\\ risch&$-\frac{125}{16} x^{2}+\frac{125}{4} x$&$10$\\ \hline \end{longtable}"," ",0,"-125/16*(x-4)*x","A"
4368,1,99,16,0.079000," ","int(((x-1)*ln(5)*exp(x)*ln(x)*ln(x*ln(x))+ln(5)*exp(x)*ln(x)+exp(x)*ln(5))/x^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(5\right) {\mathrm e}^{x} \ln \left(\ln \left(x \right)\right)}{x}+\frac{{\mathrm e}^{x} \ln \left(5\right) \left(-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}-i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}+2 \ln \left(x \right)\right)}{2 x}$&$99$\\ \hline \end{longtable}"," ",0,"ln(5)/x*exp(x)*ln(ln(x))+1/2*exp(x)*ln(5)*(-I*Pi*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))+I*Pi*csgn(I*x)*csgn(I*x*ln(x))^2+I*Pi*csgn(I*ln(x))*csgn(I*x*ln(x))^2-I*Pi*csgn(I*x*ln(x))^3+2*ln(x))/x","C"
4369,1,10,11,0.016000," ","int(1/2*(-8*x*ln(x)+1)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x +\frac{\ln \left(\ln \left(x \right)\right)}{2}$&$10$\\ norman&$-4 x +\frac{\ln \left(\ln \left(x \right)\right)}{2}$&$10$\\ risch&$-4 x +\frac{\ln \left(\ln \left(x \right)\right)}{2}$&$10$\\ \hline \end{longtable}"," ",0,"-4*x+1/2*ln(ln(x))","A"
4370,1,11,13,0.017000," ","int(1/3*(3*exp(x)*x+7*x-3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{7 x}{3}-\ln \left(x \right)+{\mathrm e}^{x}$&$11$\\ norman&$\frac{7 x}{3}-\ln \left(x \right)+{\mathrm e}^{x}$&$11$\\ risch&$\frac{7 x}{3}-\ln \left(x \right)+{\mathrm e}^{x}$&$11$\\ \hline \end{longtable}"," ",0,"7/3*x-ln(x)+exp(x)","A"
4371,1,710,26,0.719000," ","int((((2*x-2)*exp(x)+10)*exp(exp(8))*ln(x)*ln(x/ln(x))*ln(ln(x/ln(x))^2)+(4*exp(x)-20)*exp(exp(8))*ln(x)+(-4*exp(x)+20)*exp(exp(8)))/(exp(x)^2-10*exp(x)+25)/ln(x)/ln(x/ln(x))/ln(ln(x/ln(x))^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 i {\mathrm e}^{{\mathrm e}^{8}} x}{\left({\mathrm e}^{x}-5\right) \left(2 \pi  \mathrm{csgn}\left(i \left(\pi  \,\mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i x \right)-\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left(\ln \left(x \right)\right)\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(\pi  \,\mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i x \right)-\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left(\ln \left(x \right)\right)\right)\right)^{2} \mathrm{csgn}\left(i \left(\pi  \,\mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i x \right)-\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left(\ln \left(x \right)\right)\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(\pi  \,\mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i x \right)-\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left(\ln \left(x \right)\right)\right)\right) \mathrm{csgn}\left(i \left(\pi  \,\mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i x \right)-\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left(\ln \left(x \right)\right)\right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(\pi  \,\mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i x \right)-\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left(\ln \left(x \right)\right)\right)^{2}\right)^{3}-2 \pi -4 i \ln \left(2\right)+4 i \ln \left(\pi  \,\mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i x \right)-\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left(\ln \left(x \right)\right)\right)\right)}$&$710$\\ \hline \end{longtable}"," ",0,"-4*I*exp(exp(8))*x/(exp(x)-5)/(2*Pi*csgn(I*(Pi*csgn(I*x/ln(x))*csgn(I*x)*csgn(I/ln(x))-Pi*csgn(I*x/ln(x))^2*csgn(I*x)-Pi*csgn(I*x/ln(x))^2*csgn(I/ln(x))+Pi*csgn(I*x/ln(x))^3+2*I*ln(x)-2*I*ln(ln(x)))^2)^2+Pi*csgn(I*(Pi*csgn(I*x/ln(x))*csgn(I*x)*csgn(I/ln(x))-Pi*csgn(I*x/ln(x))^2*csgn(I*x)-Pi*csgn(I*x/ln(x))^2*csgn(I/ln(x))+Pi*csgn(I*x/ln(x))^3+2*I*ln(x)-2*I*ln(ln(x))))^2*csgn(I*(Pi*csgn(I*x/ln(x))*csgn(I*x)*csgn(I/ln(x))-Pi*csgn(I*x/ln(x))^2*csgn(I*x)-Pi*csgn(I*x/ln(x))^2*csgn(I/ln(x))+Pi*csgn(I*x/ln(x))^3+2*I*ln(x)-2*I*ln(ln(x)))^2)-2*Pi*csgn(I*(Pi*csgn(I*x/ln(x))*csgn(I*x)*csgn(I/ln(x))-Pi*csgn(I*x/ln(x))^2*csgn(I*x)-Pi*csgn(I*x/ln(x))^2*csgn(I/ln(x))+Pi*csgn(I*x/ln(x))^3+2*I*ln(x)-2*I*ln(ln(x))))*csgn(I*(Pi*csgn(I*x/ln(x))*csgn(I*x)*csgn(I/ln(x))-Pi*csgn(I*x/ln(x))^2*csgn(I*x)-Pi*csgn(I*x/ln(x))^2*csgn(I/ln(x))+Pi*csgn(I*x/ln(x))^3+2*I*ln(x)-2*I*ln(ln(x)))^2)^2-Pi*csgn(I*(Pi*csgn(I*x/ln(x))*csgn(I*x)*csgn(I/ln(x))-Pi*csgn(I*x/ln(x))^2*csgn(I*x)-Pi*csgn(I*x/ln(x))^2*csgn(I/ln(x))+Pi*csgn(I*x/ln(x))^3+2*I*ln(x)-2*I*ln(ln(x)))^2)^3-2*Pi-4*I*ln(2)+4*I*ln(Pi*csgn(I*x/ln(x))*csgn(I*x)*csgn(I/ln(x))-Pi*csgn(I*x/ln(x))^2*csgn(I*x)-Pi*csgn(I*x/ln(x))^2*csgn(I/ln(x))+Pi*csgn(I*x/ln(x))^3+2*I*ln(x)-2*I*ln(ln(x))))","C"
4372,1,26,34,0.102000," ","int(((-ln(5)-3*x^2-x)*ln(1/3*(ln(5)+3*x^2+x)/x)+3*ln(5)+3*x^2+2*x)/((x*ln(5)+3*x^3+x^2)*ln(1/3*(ln(5)+3*x^2+x)/x)+(-2*x-1)*ln(5)-6*x^3-5*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left(\frac{\ln \left(5\right)+3 x^{2}+x}{3 x}\right) x -2 x -1\right)$&$26$\\ risch&$-\ln \left(x \right)-\ln \left(\ln \left(\frac{\ln \left(5\right)+3 x^{2}+x}{3 x}\right)-\frac{2 x +1}{x}\right)$&$35$\\ \hline \end{longtable}"," ",0,"-ln(ln(1/3*(ln(5)+3*x^2+x)/x)*x-2*x-1)","A"
4373,1,125,26,0.211000," ","int(((-48*exp(x)+48*x-240)*ln(exp(x)*x-x^2+5*x)*ln(ln(exp(x)*x-x^2+5*x))^4+(-24*exp(x)+24*x-120)*ln(exp(x)*x-x^2+5*x)*ln(ln(exp(x)*x-x^2+5*x))^2+((-8*x^2-8*x)*exp(x)+16*x^2-40*x)*ln(ln(exp(x)*x-x^2+5*x))+(-3*exp(x)+3*x-15)*ln(exp(x)*x-x^2+5*x))/((48*exp(x)*x^2-48*x^3+240*x^2)*ln(exp(x)*x-x^2+5*x)*ln(ln(exp(x)*x-x^2+5*x))^4+(24*exp(x)*x^2-24*x^3+120*x^2)*ln(exp(x)*x-x^2+5*x)*ln(ln(exp(x)*x-x^2+5*x))^2+(3*exp(x)*x^2-3*x^3+15*x^2)*ln(exp(x)*x-x^2+5*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x}+\frac{1}{12 \ln \left(i \pi +\ln \left(x \right)+\ln \left(-{\mathrm e}^{x}+x -5\right)+\frac{i \pi  \,\mathrm{csgn}\left(i x \left({\mathrm e}^{x}+5-x \right)\right) \left(\mathrm{csgn}\left(i x \left({\mathrm e}^{x}+5-x \right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(\mathrm{csgn}\left(i x \left({\mathrm e}^{x}+5-x \right)\right)-\mathrm{csgn}\left(i \left({\mathrm e}^{x}+5-x \right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+5-x \right)\right)^{2} \left(-\mathrm{csgn}\left(i x \left({\mathrm e}^{x}+5-x \right)\right)-1\right)\right)^{2}+3}$&$125$\\ \hline \end{longtable}"," ",0,"1/x+1/3/(4*ln(I*Pi+ln(x)+ln(-exp(x)+x-5)+1/2*I*Pi*csgn(I*x*(exp(x)+5-x))*(csgn(I*x*(exp(x)+5-x))+csgn(I*x))*(csgn(I*x*(exp(x)+5-x))-csgn(I*(exp(x)+5-x)))+I*Pi*csgn(I*x*(exp(x)+5-x))^2*(-csgn(I*x*(exp(x)+5-x))-1))^2+1)","C"
4374,1,14,31,0.028000," ","int(1/3*(96*x-172)/exp(-4*x^2+43/3*x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \,{\mathrm e}^{4 x^{2}-\frac{43}{3} x +4}$&$14$\\ risch&$4 \,{\mathrm e}^{4 x^{2}-\frac{43}{3} x +4}$&$14$\\ gosper&$4 \,{\mathrm e}^{4 x^{2}-\frac{43}{3} x +4}$&$16$\\ norman&$4 \,{\mathrm e}^{4 x^{2}-\frac{43}{3} x +4}$&$16$\\ \hline \end{longtable}"," ",0,"4*exp(4*x^2-43/3*x+4)","A"
4375,1,21,24,0.026000," ","int((-9*x*ln(x)^2+(30*x^2+54*x)*ln(x)-25*x^3-60*x^2-39*x-36)*exp(6/(3*ln(x)-5*x-9))/((9*x^3+36*x^2+36*x)*ln(x)^2+(-30*x^4-174*x^3-336*x^2-216*x)*ln(x)+25*x^5+190*x^4+541*x^3+684*x^2+324*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{6}{3 \ln \left(x \right)-5 x -9}}}{2+x}$&$21$\\ \hline \end{longtable}"," ",0,"1/(2+x)*exp(6/(3*ln(x)-5*x-9))","A"
4376,1,18,20,0.041000," ","int(((-125*x^3-150*x^2-60*x-8)*exp(x)^2+80*x+112)/(125*x^3+150*x^2+60*x+8)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{8 \,{\mathrm e}^{-2 x}}{\left(5 x +2\right)^{2}}$&$18$\\ default&$-x +\frac{56 \,{\mathrm e}^{-2 x} \left(10 x -1\right)}{25 \left(25 x^{2}+20 x +4\right)}-\frac{16 \,{\mathrm e}^{-2 x} \left(35 x +9\right)}{25 \left(25 x^{2}+20 x +4\right)}$&$51$\\ \hline \end{longtable}"," ",0,"-x-8/(5*x+2)^2*exp(-2*x)","A"
4377,1,22,17,0.023000," ","int(1/6*(3*x^3+9*x^2)*exp(x)+4*x^3-36*x^2+1/3*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{6}-12 x^{3}+x^{4}+\frac{{\mathrm e}^{x} x^{3}}{2}$&$22$\\ norman&$\frac{x^{2}}{6}-12 x^{3}+x^{4}+\frac{{\mathrm e}^{x} x^{3}}{2}$&$22$\\ risch&$\frac{x^{2}}{6}-12 x^{3}+x^{4}+\frac{{\mathrm e}^{x} x^{3}}{2}$&$22$\\ \hline \end{longtable}"," ",0,"1/6*x^2-12*x^3+x^4+1/2*exp(x)*x^3","A"
4378,1,18,22,0.064000," ","int(1/5*(5*exp(2/5*x*exp(4)+2/5*x*exp(1)-2/5*x^2+16/5*x)-6*exp(4)-6*exp(1)+12*x-48)/exp(2/5*x*exp(4)+2/5*x*exp(1)-2/5*x^2+16/5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +3 \,{\mathrm e}^{-\frac{2 x \left({\mathrm e}^{4}+{\mathrm e}-x +8\right)}{5}}$&$18$\\ norman&$\left(3+x \,{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}}{5}+\frac{2 x \,{\mathrm e}}{5}-\frac{2 x^{2}}{5}+\frac{16 x}{5}}\right) {\mathrm e}^{-\frac{2 x \,{\mathrm e}^{4}}{5}-\frac{2 x \,{\mathrm e}}{5}+\frac{2 x^{2}}{5}-\frac{16 x}{5}}$&$48$\\ default&$x +\frac{12 i \sqrt{\pi}\, {\mathrm e}^{-\frac{5 \left(-\frac{2 \,{\mathrm e}^{4}}{5}-\frac{2 \,{\mathrm e}}{5}-\frac{16}{5}\right)^{2}}{8}} \sqrt{10}\, \erf \left(\frac{i \sqrt{10}\, x}{5}+\frac{i \left(-\frac{2 \,{\mathrm e}^{4}}{5}-\frac{2 \,{\mathrm e}}{5}-\frac{16}{5}\right) \sqrt{10}}{4}\right)}{5}+3 \,{\mathrm e}^{\frac{2 x^{2}}{5}+\left(-\frac{2 \,{\mathrm e}^{4}}{5}-\frac{2 \,{\mathrm e}}{5}-\frac{16}{5}\right) x}+\frac{3 i \left(-\frac{2 \,{\mathrm e}^{4}}{5}-\frac{2 \,{\mathrm e}}{5}-\frac{16}{5}\right) \sqrt{\pi}\, {\mathrm e}^{-\frac{5 \left(-\frac{2 \,{\mathrm e}^{4}}{5}-\frac{2 \,{\mathrm e}}{5}-\frac{16}{5}\right)^{2}}{8}} \sqrt{10}\, \erf \left(\frac{i \sqrt{10}\, x}{5}+\frac{i \left(-\frac{2 \,{\mathrm e}^{4}}{5}-\frac{2 \,{\mathrm e}}{5}-\frac{16}{5}\right) \sqrt{10}}{4}\right)}{4}+\frac{3 i \sqrt{\pi}\, {\mathrm e}^{1-\frac{5 \left(-\frac{2 \,{\mathrm e}^{4}}{5}-\frac{2 \,{\mathrm e}}{5}-\frac{16}{5}\right)^{2}}{8}} \sqrt{10}\, \erf \left(\frac{i \sqrt{10}\, x}{5}+\frac{i \left(-\frac{2 \,{\mathrm e}^{4}}{5}-\frac{2 \,{\mathrm e}}{5}-\frac{16}{5}\right) \sqrt{10}}{4}\right)}{10}+\frac{3 i \sqrt{\pi}\, {\mathrm e}^{4-\frac{5 \left(-\frac{2 \,{\mathrm e}^{4}}{5}-\frac{2 \,{\mathrm e}}{5}-\frac{16}{5}\right)^{2}}{8}} \sqrt{10}\, \erf \left(\frac{i \sqrt{10}\, x}{5}+\frac{i \left(-\frac{2 \,{\mathrm e}^{4}}{5}-\frac{2 \,{\mathrm e}}{5}-\frac{16}{5}\right) \sqrt{10}}{4}\right)}{10}$&$234$\\ \hline \end{longtable}"," ",0,"x+3*exp(-2/5*x*(exp(4)+exp(1)-x+8))","A"
4379,1,17,24,0.027000," ","int((9*ln(x)^3+(2*x*exp(4)+2*x)*ln(x)-2*x*exp(4)-2*x)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 x +\frac{\left({\mathrm e}^{4}+1\right) x^{2}}{\ln \left(x \right)^{2}}$&$17$\\ norman&$\frac{\left({\mathrm e}^{4}+1\right) x^{2}+9 x \ln \left(x \right)^{2}}{\ln \left(x \right)^{2}}$&$22$\\ default&$9 x +2 \,{\mathrm e}^{4} \left(-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)-2 \,{\mathrm e}^{4} \left(-\frac{x^{2}}{2 \ln \left(x \right)^{2}}-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)+\frac{x^{2}}{\ln \left(x \right)^{2}}$&$66$\\ \hline \end{longtable}"," ",0,"9*x+(exp(4)+1)*x^2/ln(x)^2","A"
4380,1,45,25,0.124000," ","int(((-6*x^3*ln(5)-270*x^2)*ln((x*ln(5)+45)/x)^2+(16*x^4*ln(5)+720*x^3+180*x^2)*ln((x*ln(5)+45)/x)-10*x^5*ln(5)-450*x^4-180*x^3)*exp(2/exp(x^3*ln((x*ln(5)+45)/x)^2-2*x^4*ln((x*ln(5)+45)/x)+x^5))/(x*ln(5)+45)/exp(x^3*ln((x*ln(5)+45)/x)^2-2*x^4*ln((x*ln(5)+45)/x)+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 \left(\frac{x \ln \left(5\right)+45}{x}\right)^{2 x^{4}} {\mathrm e}^{-x^{3} \left(\ln \left(\frac{x \ln \left(5\right)+45}{x}\right)^{2}+x^{2}\right)}}$&$45$\\ \hline \end{longtable}"," ",0,"exp(2/(((x*ln(5)+45)/x)^(-2*x^4))*exp(-x^3*(ln((x*ln(5)+45)/x)^2+x^2)))","A"
4381,1,35,24,0.054000," ","int((3*ln(x^2*ln(3)^2-12*x^2*ln(3)+36*x^2)-3*exp(1)-9)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3-3 \ln \left(x^{2} \ln \left(3\right)^{2}-12 x^{2} \ln \left(3\right)+36 x^{2}\right)+3 \,{\mathrm e}}{x}$&$35$\\ risch&$-\frac{3 \ln \left(x^{2} \ln \left(3\right)^{2}-12 x^{2} \ln \left(3\right)+36 x^{2}\right)}{x}+\frac{3 \,{\mathrm e}}{x}+\frac{3}{x}$&$41$\\ default&$-\frac{3 \ln \left(x^{2} \ln \left(3\right)^{2}-12 x^{2} \ln \left(3\right)+36 x^{2}\right)}{x}-\frac{6}{x}-\frac{3 \left(-3-{\mathrm e}\right)}{x}$&$45$\\ \hline \end{longtable}"," ",0,"(3-3*ln(x^2*ln(3)^2-12*x^2*ln(3)+36*x^2)+3*exp(1))/x","A"
4382,1,32,18,0.024000," ","int(1/25*(860*x-100)*exp(5)^2+7396/25*x^3-516/5*x^2-2724/25*x+68/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(430 x \,{\mathrm e}^{10}+1849 x^{3}-100 \,{\mathrm e}^{10}-860 x^{2}-1362 x +340\right)}{25}$&$32$\\ risch&$\frac{86 x^{2} {\mathrm e}^{10}}{5}-4 x \,{\mathrm e}^{10}+\frac{1849 x^{4}}{25}-\frac{172 x^{3}}{5}-\frac{1362 x^{2}}{25}+\frac{68 x}{5}$&$32$\\ norman&$\left(-4 \,{\mathrm e}^{10}+\frac{68}{5}\right) x +\left(\frac{86 \,{\mathrm e}^{10}}{5}-\frac{1362}{25}\right) x^{2}-\frac{172 x^{3}}{5}+\frac{1849 x^{4}}{25}$&$34$\\ default&$\frac{{\mathrm e}^{10} \left(430 x^{2}-100 x \right)}{25}+\frac{1849 x^{4}}{25}-\frac{172 x^{3}}{5}-\frac{1362 x^{2}}{25}+\frac{68 x}{5}$&$35$\\ \hline \end{longtable}"," ",0,"1/25*x*(430*x*exp(5)^2+1849*x^3-100*exp(5)^2-860*x^2-1362*x+340)","A"
4383,1,107,21,0.140000," ","int(1/5*(-10*ln(x)^2+((8*x-10)*exp(1/5*x)^4+(-24*x^2+24*x-40)*exp(1/5*x)^3+(24*x^3+12*x^2+24*x-60)*exp(1/5*x)^2+(-8*x^4-56*x^3+96*x^2+8*x-40)*exp(1/5*x)+30*x^4-80*x^3+60*x^2+10)*ln(x)+10*exp(1/5*x)^4+(-40*x+40)*exp(1/5*x)^3+(60*x^2-120*x+60)*exp(1/5*x)^2+(-40*x^3+120*x^2-120*x+40)*exp(1/5*x)+10*x^4-40*x^3+60*x^2-40*x+10)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(x \right)^{2}}{x}+\frac{2 \left(x^{4}-4 \,{\mathrm e}^{\frac{x}{5}} x^{3}+6 \,{\mathrm e}^{\frac{2 x}{5}} x^{2}-4 \,{\mathrm e}^{\frac{3 x}{5}} x +{\mathrm e}^{\frac{4 x}{5}}-4 x^{3}+12 \,{\mathrm e}^{\frac{x}{5}} x^{2}-12 \,{\mathrm e}^{\frac{2 x}{5}} x +4 \,{\mathrm e}^{\frac{3 x}{5}}+6 x^{2}-12 x \,{\mathrm e}^{\frac{x}{5}}+6 \,{\mathrm e}^{\frac{2 x}{5}}+4 \,{\mathrm e}^{\frac{x}{5}}+1\right) \ln \left(x \right)}{x}-8 \ln \left(x \right)$&$107$\\ default&$\frac{2 \ln \left(x \right) {\mathrm e}^{\frac{4 x}{5}}}{x}+\frac{40 \ln \left(x \right) {\mathrm e}^{\frac{3 x}{5}}-40 \ln \left(x \right) {\mathrm e}^{\frac{3 x}{5}} x}{5 x}+\frac{60 \ln \left(x \right) {\mathrm e}^{\frac{2 x}{5}}-120 \ln \left(x \right) {\mathrm e}^{\frac{2 x}{5}} x +60 \ln \left(x \right) {\mathrm e}^{\frac{2 x}{5}} x^{2}}{5 x}+\frac{40 \ln \left(x \right) {\mathrm e}^{\frac{x}{5}}-120 \ln \left(x \right) {\mathrm e}^{\frac{x}{5}} x +120 \ln \left(x \right) {\mathrm e}^{\frac{x}{5}} x^{2}-40 \ln \left(x \right) {\mathrm e}^{\frac{x}{5}} x^{3}}{5 x}-8 \ln \left(x \right)+\frac{2 \ln \left(x \right)^{2}}{x}+\frac{2 \ln \left(x \right)}{x}+2 x^{3} \ln \left(x \right)-8 x^{2} \ln \left(x \right)+12 x \ln \left(x \right)$&$154$\\ \hline \end{longtable}"," ",0,"2*ln(x)^2/x+2*(x^4-4*exp(1/5*x)*x^3+6*exp(2/5*x)*x^2-4*exp(3/5*x)*x+exp(4/5*x)-4*x^3+12*exp(1/5*x)*x^2-12*exp(2/5*x)*x+4*exp(3/5*x)+6*x^2-12*x*exp(1/5*x)+6*exp(2/5*x)+4*exp(1/5*x)+1)/x*ln(x)-8*ln(x)","B"
4384,1,32,19,0.202000," ","int(((4*x^2-x-16)*ln(16*x^2-4*x-64)+(8*x-1)*exp(1)+12*x^2-34*x-12)/(4*x^2-x-16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\left({\mathrm e}-4\right) \ln \left(16 x^{2}-4 x -64\right)+\ln \left(16 x^{2}-4 x -64\right) x$&$32$\\ risch&$\ln \left(16 x^{2}-4 x -64\right) x +\ln \left(4 x^{2}-x -16\right) {\mathrm e}-4 \ln \left(4 x^{2}-x -16\right)+x$&$43$\\ default&$x -4 \ln \left(4 x^{2}-x -16\right)+\ln \left(4 x^{2}-x -16\right) {\mathrm e}+2 x \ln \left(2\right)+x \ln \left(4 x^{2}-x -16\right)$&$48$\\ \hline \end{longtable}"," ",0,"x+(exp(1)-4)*ln(16*x^2-4*x-64)+ln(16*x^2-4*x-64)*x","A"
4385,1,20,19,0.025000," ","int((-2*exp(5-x)*exp(2*exp(5-x))+1)*exp(exp(2*exp(5-x))+x)+5+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x +{\mathrm e}^{{\mathrm e}^{2 \,{\mathrm e}^{5-x}}+x}+x^{2}$&$20$\\ norman&$5 x +{\mathrm e}^{{\mathrm e}^{2 \,{\mathrm e}^{5-x}}+x}+x^{2}$&$20$\\ risch&$5 x +{\mathrm e}^{{\mathrm e}^{2 \,{\mathrm e}^{5-x}}+x}+x^{2}$&$20$\\ \hline \end{longtable}"," ",0,"5*x+exp(exp(2*exp(5-x))+x)+x^2","A"
4386,1,60,29,0.135000," ","int(((4*x^2+10*x-6)*exp(x)^4+(12*x^4+36*x^3)*exp(x)^3+(12*x^6+48*x^5+36*x^4)*exp(x)^2+(4*x^8+28*x^7+48*x^6)*exp(x)+(-9*x^4-36*x^3)*exp(1)^2+6*x^9+18*x^8)*exp(1/9*(exp(x)^4+4*x^2*exp(x)^3+6*exp(x)^2*x^4+4*x^6*exp(x)-9*x^3*exp(1)^2+x^8)/x^2/exp(1)^2)/(27*x^5+162*x^4+243*x^3)/exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{\left(-x^{8}-4 x^{6} {\mathrm e}^{x}-6 \,{\mathrm e}^{2 x} x^{4}+9 x^{3} {\mathrm e}^{2}-4 x^{2} {\mathrm e}^{3 x}-{\mathrm e}^{4 x}\right) {\mathrm e}^{-2}}{9 x^{2}}}}{3 x +9}$&$60$\\ \hline \end{longtable}"," ",0,"1/3/(3+x)*exp(-1/9*(-x^8-4*x^6*exp(x)-6*exp(2*x)*x^4+9*x^3*exp(2)-4*x^2*exp(3*x)-exp(4*x))*exp(-2)/x^2)","B"
4387,1,27,20,0.076000," ","int((2*(x^2-4*x-4)*ln(2)-16*x^3+104*x^2-224*x+160)/(2*(x^3-4*x)*ln(2)-8*x^4+72*x^3-80*x^2-288*x+448),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x -2\right)+\ln \left(2+x \right)+\ln \left(x \ln \left(2\right)-4 x^{2}+36 x -56\right)$&$27$\\ default&$\ln \left(2+x \right)-\ln \left(x -2\right)+\ln \left(-x \ln \left(2\right)+4 x^{2}-36 x +56\right)$&$28$\\ risch&$-\ln \left(x -2\right)+\ln \left(4 x^{3}+\left(-\ln \left(2\right)-28\right) x^{2}+\left(-2 \ln \left(2\right)-16\right) x +112\right)$&$34$\\ \hline \end{longtable}"," ",0,"-ln(x-2)+ln(2+x)+ln(x*ln(2)-4*x^2+36*x-56)","A"
4388,1,17,24,0.123000," ","int(((-2*x+9)*ln(2)-2*x^2+9*x-3)/(3*ln(2)+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{2}}{3}+3 x -\ln \left(\ln \left(2\right)+x \right)$&$17$\\ risch&$-\frac{x^{2}}{3}+3 x -\ln \left(\ln \left(2\right)+x \right)$&$17$\\ norman&$3 x -\frac{x^{2}}{3}-\ln \left(3 \ln \left(2\right)+3 x \right)$&$21$\\ meijerg&$3 \ln \left(2\right) \ln \left(1+\frac{x}{\ln \left(2\right)}\right)-\ln \left(1+\frac{x}{\ln \left(2\right)}\right)-\frac{2 \ln \left(2\right)^{2} \left(-\frac{x \left(-\frac{3 x}{\ln \left(2\right)}+6\right)}{6 \ln \left(2\right)}+\ln \left(1+\frac{x}{\ln \left(2\right)}\right)\right)}{3}+\left(-\frac{2 \ln \left(2\right)}{3}+3\right) \ln \left(2\right) \left(\frac{x}{\ln \left(2\right)}-\ln \left(1+\frac{x}{\ln \left(2\right)}\right)\right)$&$85$\\ \hline \end{longtable}"," ",0,"-1/3*x^2+3*x-ln(ln(2)+x)","A"
4389,1,365,26,0.523000," ","int((((-x^3-3*x)*ln(2*x)^4+(-2*x^4-6*x^2-x)*ln(2*x)^2-x^5-3*x^3-x^2)*ln(((x^2+3)*ln(2*x)^2+x^3+3*x+1)/(ln(2*x)^2+x))+(-4*x^3+10*x^2-6*x)*ln(2*x)^4+(-8*x^4+20*x^3-12*x^2-2*x)*ln(2*x)^2+(2*x-10)*ln(2*x)-4*x^5+10*x^4-6*x^3-x^2-5*x)/((x^3+3*x)*ln(2*x)^4+(2*x^4+6*x^2+x)*ln(2*x)^2+x^5+3*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(x^{2} \ln \left(2 x \right)^{2}+x^{3}+3 \ln \left(2 x \right)^{2}+3 x +1\right)+x \ln \left(\ln \left(2 x \right)^{2}+x \right)+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{\ln \left(2 x \right)^{2}+x}\right) \mathrm{csgn}\left(i \left(x^{2} \ln \left(2 x \right)^{2}+x^{3}+3 \ln \left(2 x \right)^{2}+3 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(2 x \right)^{2}+x^{3}+3 \ln \left(2 x \right)^{2}+3 x +1\right)}{\ln \left(2 x \right)^{2}+x}\right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{\ln \left(2 x \right)^{2}+x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(2 x \right)^{2}+x^{3}+3 \ln \left(2 x \right)^{2}+3 x +1\right)}{\ln \left(2 x \right)^{2}+x}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x^{2} \ln \left(2 x \right)^{2}+x^{3}+3 \ln \left(2 x \right)^{2}+3 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(2 x \right)^{2}+x^{3}+3 \ln \left(2 x \right)^{2}+3 x +1\right)}{\ln \left(2 x \right)^{2}+x}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(2 x \right)^{2}+x^{3}+3 \ln \left(2 x \right)^{2}+3 x +1\right)}{\ln \left(2 x \right)^{2}+x}\right)^{3}}{2}-2 x +5 \ln \left(x^{2}+3\right)+5 \ln \left(\ln \left(2 x \right)^{2}+\frac{x^{3}+3 x +1}{x^{2}+3}\right)-5 \ln \left(\ln \left(2 x \right)^{2}+x \right)$&$365$\\ \hline \end{longtable}"," ",0,"-x*ln(x^2*ln(2*x)^2+x^3+3*ln(2*x)^2+3*x+1)+x*ln(ln(2*x)^2+x)+1/2*I*Pi*x*csgn(I/(ln(2*x)^2+x))*csgn(I*(x^2*ln(2*x)^2+x^3+3*ln(2*x)^2+3*x+1))*csgn(I/(ln(2*x)^2+x)*(x^2*ln(2*x)^2+x^3+3*ln(2*x)^2+3*x+1))-1/2*I*Pi*x*csgn(I/(ln(2*x)^2+x))*csgn(I/(ln(2*x)^2+x)*(x^2*ln(2*x)^2+x^3+3*ln(2*x)^2+3*x+1))^2-1/2*I*Pi*x*csgn(I*(x^2*ln(2*x)^2+x^3+3*ln(2*x)^2+3*x+1))*csgn(I/(ln(2*x)^2+x)*(x^2*ln(2*x)^2+x^3+3*ln(2*x)^2+3*x+1))^2+1/2*I*Pi*x*csgn(I/(ln(2*x)^2+x)*(x^2*ln(2*x)^2+x^3+3*ln(2*x)^2+3*x+1))^3-2*x+5*ln(x^2+3)+5*ln(ln(2*x)^2+(x^3+3*x+1)/(x^2+3))-5*ln(ln(2*x)^2+x)","C"
4390,1,8,9,0.016000," ","int(exp(49)^2/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{98}}{x}$&$8$\\ gosper&$-\frac{{\mathrm e}^{98}}{x}$&$10$\\ default&$-\frac{{\mathrm e}^{98}}{x}$&$10$\\ norman&$-\frac{{\mathrm e}^{98}}{x}$&$10$\\ \hline \end{longtable}"," ",0,"-exp(98)/x","A"
4391,1,28,27,0.773000," ","int(((x^2-8*x-20)*exp(x-4)^2+((2*x^2-16*x-40)*exp(2)-5*x^4-50*x^3-131*x^2+48*x+120)*exp(x-4)+(x^2-8*x-20)*exp(2)^2+(-6*x^2+48*x+120)*exp(2)+9*x^2-72*x-180)/((x^4+10*x^3+25*x^2)*exp(x-4)^2+((2*x^4+20*x^3+50*x^2)*exp(2)-6*x^4-60*x^3-150*x^2)*exp(x-4)+(x^4+10*x^3+25*x^2)*exp(2)^2+(-6*x^4-60*x^3-150*x^2)*exp(2)+9*x^4+90*x^3+225*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{-x +4}{\left(5+x \right) x}+\frac{5}{{\mathrm e}^{x -4}+{\mathrm e}^{2}-3}$&$28$\\ norman&$\frac{5 x^{2}+\left(-{\mathrm e}^{2}+28\right) x -x \,{\mathrm e}^{x -4}+4 \,{\mathrm e}^{x -4}+4 \,{\mathrm e}^{2}-12}{x \left(5+x \right) \left({\mathrm e}^{x -4}+{\mathrm e}^{2}-3\right)}$&$52$\\ \hline \end{longtable}"," ",0,"(-x+4)/(5+x)/x+5/(exp(x-4)+exp(2)-3)","A"
4392,1,25,28,0.066000," ","int((-10*x^4*exp(exp(ln(2)-3)-5*x^2)+(4*x^2-x-6)*exp(x)+x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(3+4 x \right) {\mathrm e}^{x}}{x^{2}}+{\mathrm e}^{2 \,{\mathrm e}^{-3}-5 x^{2}}$&$25$\\ default&$x +\frac{3 \,{\mathrm e}^{x}}{x^{2}}+\frac{4 \,{\mathrm e}^{x}}{x}+{\mathrm e}^{2 \,{\mathrm e}^{-3}} {\mathrm e}^{-5 x^{2}}$&$29$\\ norman&$\frac{x^{3}+x^{2} {\mathrm e}^{{\mathrm e}^{\ln \left(2\right)-3}-5 x^{2}}+4 \,{\mathrm e}^{x} x +3 \,{\mathrm e}^{x}}{x^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"x+(3+4*x)/x^2*exp(x)+exp(2*exp(-3)-5*x^2)","A"
4393,1,26,21,0.036000," ","int(((4*x^2+4*x)*exp(exp(1)+5)+4*x^2+4*x)/(16*x^4+16*x^3+12*x^2+4*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\left(4 \,{\mathrm e}^{{\mathrm e}+5}+4\right) \left(-\frac{x}{16}-\frac{1}{32}\right)}{x^{2}+\frac{1}{2} x +\frac{1}{4}}$&$26$\\ gosper&$-\frac{\left(2 x +1\right) \left({\mathrm e}^{{\mathrm e}+5}+1\right)}{2 \left(4 x^{2}+2 x +1\right)}$&$27$\\ risch&$\frac{\left(-\frac{{\mathrm e}^{{\mathrm e}+5}}{4}-\frac{1}{4}\right) x -\frac{{\mathrm e}^{{\mathrm e}+5}}{8}-\frac{1}{8}}{x^{2}+\frac{1}{2} x +\frac{1}{4}}$&$32$\\ norman&$\frac{\left(-{\mathrm e}^{{\mathrm e}} {\mathrm e}^{5}-1\right) x -\frac{{\mathrm e}^{{\mathrm e}} {\mathrm e}^{5}}{2}-\frac{1}{2}}{4 x^{2}+2 x +1}$&$34$\\ \hline \end{longtable}"," ",0,"(4*exp(exp(1)+5)+4)*(-1/16*x-1/32)/(x^2+1/2*x+1/4)","A"
4394,1,20,20,0.059000," ","int((6*ln(x)^2+(-6*exp(7)+7)*ln(x)-2*exp(7)+1)/(2*x*ln(x)^2+(-2*x*exp(7)+x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 \ln \left(x \right)+\ln \left(1+2 \ln \left(x \right)-2 \,{\mathrm e}^{7}\right)+\ln \left(\ln \left(x \right)\right)$&$20$\\ norman&$3 \ln \left(x \right)+\ln \left(\ln \left(x \right)\right)+\ln \left(2 \,{\mathrm e}^{7}-2 \ln \left(x \right)-1\right)$&$20$\\ risch&$3 \ln \left(x \right)+\ln \left(\ln \left(x \right)^{2}+\left(-{\mathrm e}^{7}+\frac{1}{2}\right) \ln \left(x \right)\right)$&$21$\\ \hline \end{longtable}"," ",0,"3*ln(x)+ln(1+2*ln(x)-2*exp(7))+ln(ln(x))","A"
4395,1,39,27,0.060000," ","int((((2*x^5+24*x^4+14*x^3-604*x^2-1580*x)*exp(x^2+10*x+25)*ln(5-x)+(x^3+12*x^2+32*x)*exp(x^2+10*x+25)-12*x^2+60*x)*ln(x)+(x^3+7*x^2-28*x-160)*exp(x^2+10*x+25)*ln(5-x)+3*x^3+21*x^2-84*x-480)/((x^4+7*x^3-28*x^2-160*x)*exp(x^2+10*x+25)*ln(5-x)+3*x^4+21*x^3-84*x^2-480*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+10 x -\ln \left(4+x \right)+\ln \left(x +8\right)+\ln \left(\ln \left(x \right)\right)+\ln \left(\ln \left(5-x \right)+3 \,{\mathrm e}^{-\left(5+x \right)^{2}}\right)$&$39$\\ \hline \end{longtable}"," ",0,"x^2+10*x-ln(4+x)+ln(x+8)+ln(ln(x))+ln(ln(5-x)+3*exp(-(5+x)^2))","A"
4396,1,149,26,0.189000," ","int(((2*x^2-7*x+3)*exp(x)^2*ln(x^2-3*x)+(-4*x^4+36*x^2+2*x-3)*exp(x)^2+x^3-3*x^2)*exp((exp(x)^2*ln(x^2-3*x)+(-2*x^2-5*x)*exp(x)^2+x^2-3*x)/x)/(x^3-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\frac{{\mathrm e}^{2 x}}{x}} \left(x -3\right)^{\frac{{\mathrm e}^{2 x}}{x}} {\mathrm e}^{-\frac{i {\mathrm e}^{2 x} \pi  \mathrm{csgn}\left(i x \left(x -3\right)\right)^{3}-i {\mathrm e}^{2 x} \pi  \mathrm{csgn}\left(i x \left(x -3\right)\right)^{2} \mathrm{csgn}\left(i x \right)-i {\mathrm e}^{2 x} \pi  \mathrm{csgn}\left(i x \left(x -3\right)\right)^{2} \mathrm{csgn}\left(i \left(x -3\right)\right)+i {\mathrm e}^{2 x} \pi  \,\mathrm{csgn}\left(i x \left(x -3\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -3\right)\right)+4 \,{\mathrm e}^{2 x} x^{2}+10 x \,{\mathrm e}^{2 x}-2 x^{2}+6 x}{2 x}}$&$149$\\ \hline \end{longtable}"," ",0,"x^(exp(2*x)/x)*(x-3)^(exp(2*x)/x)*exp(-1/2*(I*exp(2*x)*Pi*csgn(I*x*(x-3))^3-I*exp(2*x)*Pi*csgn(I*x*(x-3))^2*csgn(I*x)-I*exp(2*x)*Pi*csgn(I*x*(x-3))^2*csgn(I*(x-3))+I*exp(2*x)*Pi*csgn(I*x*(x-3))*csgn(I*x)*csgn(I*(x-3))+4*exp(2*x)*x^2+10*x*exp(2*x)-2*x^2+6*x)/x)","C"
4397,1,16,24,0.039000," ","int((-3240*x^2*exp(2)^2-2916)/x^5/exp(2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-8} \left(1620 x^{2} {\mathrm e}^{4}+729\right)}{x^{4}}$&$16$\\ default&$324 \,{\mathrm e}^{-8} \left(\frac{5 \,{\mathrm e}^{4}}{x^{2}}+\frac{9}{4 x^{4}}\right)$&$20$\\ gosper&$\frac{81 \left(20 x^{2} {\mathrm e}^{4}+9\right) {\mathrm e}^{-8}}{x^{4}}$&$21$\\ norman&$\frac{\left(729 \,{\mathrm e}^{-2}+1620 x^{2} {\mathrm e}^{2}\right) {\mathrm e}^{-6}}{x^{4}}$&$23$\\ \hline \end{longtable}"," ",0,"exp(-8)*(1620*x^2*exp(4)+729)/x^4","A"
4398,0,0,26,0.058000," ","int((((-680*x^3-320*x^2-640*x)*ln(1/16*(17*x^2+8*x+16)/x)+850*x^2-800)*ln(ln(1/16*(17*x^2+8*x+16)/x))+(544*x^4-152744*x^3-71488*x^2-144000*x)*ln(1/16*(17*x^2+8*x+16)/x)-680*x^3+191250*x^2+640*x-180000)/(17*x^3+8*x^2+16*x)/ln(1/16*(17*x^2+8*x+16)/x),x)","\[\int \frac{\left(\left(-680 x^{3}-320 x^{2}-640 x \right) \ln \left(\frac{17 x^{2}+8 x +16}{16 x}\right)+850 x^{2}-800\right) \ln \left(\ln \left(\frac{17 x^{2}+8 x +16}{16 x}\right)\right)+\left(544 x^{4}-152744 x^{3}-71488 x^{2}-144000 x \right) \ln \left(\frac{17 x^{2}+8 x +16}{16 x}\right)-680 x^{3}+191250 x^{2}+640 x -180000}{\left(17 x^{3}+8 x^{2}+16 x \right) \ln \left(\frac{17 x^{2}+8 x +16}{16 x}\right)}\, dx\]"," ",0,"int((((-680*x^3-320*x^2-640*x)*ln(1/16*(17*x^2+8*x+16)/x)+850*x^2-800)*ln(ln(1/16*(17*x^2+8*x+16)/x))+(544*x^4-152744*x^3-71488*x^2-144000*x)*ln(1/16*(17*x^2+8*x+16)/x)-680*x^3+191250*x^2+640*x-180000)/(17*x^3+8*x^2+16*x)/ln(1/16*(17*x^2+8*x+16)/x),x)","F"
4399,1,19,22,0.168000," ","int((-4*ln(ln(5/2)+2-x)+(ln(5/2)+2-x)*exp(x)-ln(5/2)+x-2)/(ln(5/2)+2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +2 \ln \left(\ln \left(\frac{5}{2}\right)+2-x \right)^{2}+{\mathrm e}^{x}$&$19$\\ norman&$-x +2 \ln \left(\ln \left(\frac{5}{2}\right)+2-x \right)^{2}+{\mathrm e}^{x}$&$19$\\ risch&$2 \ln \left(-\ln \left(2\right)+\ln \left(5\right)+2-x \right)^{2}-x +{\mathrm e}^{x}$&$23$\\ \hline \end{longtable}"," ",0,"-x+2*ln(ln(5/2)+2-x)^2+exp(x)","A"
4400,1,29,28,0.056000," ","int((-400*x^6*exp(25*x^2)^2+2*x^6+x^5-10*x^3-100)/x^5/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}+x +\frac{25}{x^{4}}+\frac{10}{x}-4 \,{\mathrm e}^{50 x^{2}}}{\ln \left(3\right)}$&$29$\\ risch&$\frac{x^{2}}{\ln \left(3\right)}+\frac{x}{\ln \left(3\right)}+\frac{10 x^{3}+25}{\ln \left(3\right) x^{4}}-\frac{4 \,{\mathrm e}^{50 x^{2}}}{\ln \left(3\right)}$&$43$\\ norman&$\frac{\frac{x^{5}}{\ln \left(3\right)}+\frac{x^{6}}{\ln \left(3\right)}+\frac{25}{\ln \left(3\right)}+\frac{10 x^{3}}{\ln \left(3\right)}-\frac{4 x^{4} {\mathrm e}^{50 x^{2}}}{\ln \left(3\right)}}{x^{4}}$&$54$\\ \hline \end{longtable}"," ",0,"1/ln(3)*(x^2+x+25/x^4+10/x-4*exp(x^2)^50)","A"
4401,1,44,23,0.065000," ","int(((-exp(x)+3*x^2+30*x+75)*exp(x*ln(x))^2+((-10*x^2-100*x-250)*ln(x)-10*x^2-80*x-150)*exp(x*ln(x))+(-50*x-250)*ln(x)-50*x-225)/exp(x*ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$75 x +\left(125+25 x \right) x^{-2 x}+\left(10 x^{2}+100 x +250\right) x^{-x}+15 x^{2}+x^{3}-{\mathrm e}^{x}$&$44$\\ default&$75 x +\left(125+25 x \right) {\mathrm e}^{-2 x \ln \left(x \right)}+\left(10 x^{2}+100 x +250\right) {\mathrm e}^{-x \ln \left(x \right)}+15 x^{2}+x^{3}-{\mathrm e}^{x}$&$48$\\ \hline \end{longtable}"," ",0,"75*x+(125+25*x)/(x^x)^2+(10*x^2+100*x+250)/(x^x)+15*x^2+x^3-exp(x)","A"
4402,1,30,30,0.884000," ","int(((4*exp(2*x)^2-24*exp(2*x)+36)*exp(exp(4))^2+((-8*ln(3)-8*x)*exp(2*x)^2+(48*ln(3)-2*x^3+2*x^2+48*x)*exp(2*x)-72*ln(3)-6*x^2-72*x)*exp(exp(4))+(4*ln(3)^2+8*x*ln(3)+4*x^2)*exp(2*x)^2+(-24*ln(3)^2+(2*x^3-2*x^2-48*x)*ln(3)+2*x^4-x^3-24*x^2)*exp(2*x)+36*ln(3)^2+(6*x^2+72*x)*ln(3)+3*x^3+36*x^2)/((x*exp(2*x)^2-6*x*exp(2*x)+9*x)*exp(exp(4))^2+((-2*x*ln(3)-2*x^2)*exp(2*x)^2+(12*x*ln(3)+12*x^2)*exp(2*x)-18*x*ln(3)-18*x^2)*exp(exp(4))+(x*ln(3)^2+2*x^2*ln(3)+x^3)*exp(2*x)^2+(-6*x*ln(3)^2-12*x^2*ln(3)-6*x^3)*exp(2*x)+9*x*ln(3)^2+18*x^2*ln(3)+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x^{2}}{\left({\mathrm e}^{2 x}-3\right) \left(\ln \left(3\right)+x -{\mathrm e}^{{\mathrm e}^{4}}\right)}+4 \ln \left(x \right)$&$30$\\ risch&$-\frac{x^{2}}{\left({\mathrm e}^{2 x}-3\right) \left(\ln \left(3\right)+x -{\mathrm e}^{{\mathrm e}^{4}}\right)}+4 \ln \left(x \right)$&$30$\\ \hline \end{longtable}"," ",0,"-x^2/(exp(2*x)-3)/(ln(3)+x-exp(exp(4)))+4*ln(x)","A"
4403,1,34,26,0.049000," ","int((((48*x+72)*exp(5)-240*x-360)*exp((4*x^2+12*x+9)/x^2)-50*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-4 \,{\mathrm e}^{5}+20\right) x^{2} {\mathrm e}^{\frac{4 x^{2}+12 x +9}{x^{2}}}+50 x}{x^{2}}$&$34$\\ derivativedivides&$\frac{50}{x}+20 \,{\mathrm e}^{4+\frac{9}{x^{2}}+\frac{12}{x}}-4 \,{\mathrm e}^{\frac{9}{x^{2}}+\frac{12}{x}+9}$&$37$\\ default&$\frac{50}{x}+20 \,{\mathrm e}^{4+\frac{9}{x^{2}}+\frac{12}{x}}-4 \,{\mathrm e}^{\frac{9}{x^{2}}+\frac{12}{x}+9}$&$37$\\ risch&$\frac{50}{x}-4 \,{\mathrm e}^{\frac{\left(2 x +3\right)^{2}}{x^{2}}} {\mathrm e}^{5}+20 \,{\mathrm e}^{\frac{\left(2 x +3\right)^{2}}{x^{2}}}$&$37$\\ \hline \end{longtable}"," ",0,"((-4*exp(5)+20)*x^2*exp((4*x^2+12*x+9)/x^2)+50*x)/x^2","A"
4404,1,23,24,0.172000," ","int(((2*x^3-6*x^2+5*x-1)*exp(ln(x-2)+x^2)+(x^2-3*x+2)*ln(x-1)^2+(2*x^2-4*x)*ln(x-1)-2*x^3+6*x^2-4*x)/(x^2-3*x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x -1\right)^{2} x -x^{2}+\left(x -2\right) {\mathrm e}^{x^{2}}$&$23$\\ default&$\left(x -1\right) \ln \left(x -1\right)^{2}-2 \,{\mathrm e}^{x^{2}}+{\mathrm e}^{x^{2}} x -x^{2}+\ln \left(x -1\right)^{2}$&$35$\\ \hline \end{longtable}"," ",0,"ln(x-1)^2*x-x^2+(x-2)*exp(x^2)","A"
4405,1,28,30,0.064000," ","int(((8*x-16)*ln(x^2)^2+(-16*x+64)*ln(x^2)+2*x^4-16*x^3+30*x^2+16*x-32)/(x^4-8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-8-30 x +2 x^{3}-4 \ln \left(x^{2}\right)^{2}}{\left(x -4\right) x}$&$28$\\ risch&$-\frac{4 \ln \left(x^{2}\right)^{2}}{\left(x -4\right) x}+\frac{2 x^{2}+2}{x}$&$28$\\ \hline \end{longtable}"," ",0,"(-8-30*x+2*x^3-4*ln(x^2)^2)/(x-4)/x","A"
4406,1,10,14,0.024000," ","int(1/3*(-2*x*exp(1/3*x)+3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 \,{\mathrm e}^{\frac{x}{3}}+\ln \left(x \right)$&$10$\\ risch&$-2 \,{\mathrm e}^{\frac{x}{3}}+\ln \left(x \right)$&$10$\\ derivativedivides&$\ln \left(\frac{x}{3}\right)-2 \,{\mathrm e}^{\frac{x}{3}}$&$12$\\ default&$\ln \left(\frac{x}{3}\right)-2 \,{\mathrm e}^{\frac{x}{3}}$&$12$\\ \hline \end{longtable}"," ",0,"-2*exp(1/3*x)+ln(x)","A"
4407,1,20,19,286.652000," ","int(((6250000*x*ln(2)+2)*exp(x)+2*x-2)*exp(((1562500*x^2*ln(2)+x)*exp(x)-x)/exp(x))^2/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x \left(1562500 x \ln \left(2\right) {\mathrm e}^{x}+{\mathrm e}^{x}-1\right) {\mathrm e}^{-x}}$&$20$\\ norman&${\mathrm e}^{2 \left(\left(1562500 x^{2} \ln \left(2\right)+x \right) {\mathrm e}^{x}-x \right) {\mathrm e}^{-x}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(2*x*(1562500*x*ln(2)*exp(x)+exp(x)-1)*exp(-x))","A"
4408,0,0,20,0.095000," ","int((ln(1/2*x)*ln(3/4*ln(1/2*x))-1)*exp(ln(x/ln(3/4*ln(1/2*x)))/(exp(2)-1))/(exp(2)*x-x)/ln(1/2*x)/ln(3/4*ln(1/2*x)),x)","\[\int \frac{\left(\ln \left(\frac{x}{2}\right) \ln \left(\frac{3 \ln \left(\frac{x}{2}\right)}{4}\right)-1\right) {\mathrm e}^{\frac{\ln \left(\frac{x}{\ln \left(\frac{3 \ln \left(\frac{x}{2}\right)}{4}\right)}\right)}{{\mathrm e}^{2}-1}}}{\left({\mathrm e}^{2} x -x \right) \ln \left(\frac{x}{2}\right) \ln \left(\frac{3 \ln \left(\frac{x}{2}\right)}{4}\right)}\, dx\]"," ",0,"int((ln(1/2*x)*ln(3/4*ln(1/2*x))-1)*exp(ln(x/ln(3/4*ln(1/2*x)))/(exp(2)-1))/(exp(2)*x-x)/ln(1/2*x)/ln(3/4*ln(1/2*x)),x)","F"
4409,1,18,17,0.079000," ","int(((5*x^3+100*x^2+250*x+80)*exp(x+1)-40*x-340)*exp((5*x^3+85*x^2+80*x)*exp(x+1)-20*x^2-340*x-320),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{5 \left(x \,{\mathrm e}^{x +1}-4\right) \left(x +1\right) \left(x +16\right)}$&$18$\\ norman&${\mathrm e}^{\left(5 x^{3}+85 x^{2}+80 x \right) {\mathrm e}^{x +1}-20 x^{2}-340 x -320}$&$31$\\ \hline \end{longtable}"," ",0,"exp(5*(x*exp(x+1)-4)*(x+1)*(x+16))","A"
4410,1,59,24,0.094000," ","int((((x^2+2*x)*exp(x)*ln(x)+(x+1)*exp(x))*ln(x^2)+((2*x+2)*exp(x)-2*x^2)*ln(x)-x^2+3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right) {\mathrm e}^{x} \ln \left(x \right)+x \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right) {\mathrm e}^{x} \ln \left(x \right)+2 \,{\mathrm e}^{x} \ln \left(x \right)^{2}+2 x \,{\mathrm e}^{x} \ln \left(x \right)^{2}-x^{2} \ln \left(x \right)+3 \ln \left(x \right)$&$59$\\ risch&$2 \left(x +1\right) {\mathrm e}^{x} \ln \left(x \right)^{2}+\left(-x^{2}-\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}}{2}+i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}-\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}}{2}-\frac{i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}}{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}-\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}}{2}\right) \ln \left(x \right)+3 \ln \left(x \right)$&$139$\\ \hline \end{longtable}"," ",0,"(ln(x^2)-2*ln(x))*exp(x)*ln(x)+x*(ln(x^2)-2*ln(x))*exp(x)*ln(x)+2*exp(x)*ln(x)^2+2*x*exp(x)*ln(x)^2-x^2*ln(x)+3*ln(x)","B"
4411,1,47,32,0.043000," ","int(((x^7-8*x^5-10*x^4+16*x^3+40*x^2+25*x)*ln(x)^2+(-12*x^4-9*x^3+24*x^2+27*x)*ln(x)-3*x^4-3*x^3+12*x^2+27*x+15)/((20*x^9+39*x^8-141*x^7-512*x^6-222*x^5+1234*x^4+2364*x^3+1735*x^2+475*x)*ln(x)^2+(3*x^5+3*x^4-12*x^3-27*x^2-15*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x +1\right)+\ln \left(20 x +19\right)-\ln \left(\ln \left(x \right)\right)+\ln \left(\ln \left(x \right)+\frac{3}{20 x^{4}+19 x^{3}-80 x^{2}-176 x -95}\right)$&$47$\\ \hline \end{longtable}"," ",0,"-ln(x+1)+ln(20*x+19)-ln(ln(x))+ln(ln(x)+3/(20*x^4+19*x^3-80*x^2-176*x-95))","A"
4412,1,21,19,0.057000," ","int(1/4*(6*exp(1)*exp(2)*ln(x)-3*x*exp(1)*exp(2)-3*exp(1))*exp(exp(2)*ln(x)^2-exp(2)*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{{\mathrm e}^{2} \ln \left(x \right)^{2}-{\mathrm e}^{2} x +1}}{4 x}$&$21$\\ norman&$\frac{3 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{2} \ln \left(x \right)^{2}-{\mathrm e}^{2} x}}{4 x}$&$22$\\ \hline \end{longtable}"," ",0,"3/4/x*exp(exp(2)*ln(x)^2-exp(2)*x+1)","A"
4413,1,212,23,2.043000," ","int(((-2*x-2)*ln(x)*ln(x^2/ln(x)^2)+(-2*x-2)*ln(x)*ln(x+1)+(-6*x-4)*ln(x)+4*x+4)/((x^4+x^3)*ln(x)*ln(x^2/ln(x)^2)^3+(3*x^4+3*x^3)*ln(x)*ln(x+1)*ln(x^2/ln(x)^2)^2+(3*x^4+3*x^3)*ln(x)*ln(x+1)^2*ln(x^2/ln(x)^2)+(x^4+x^3)*ln(x)*ln(x+1)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4}{x^{2} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)^{2}}\right)-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)^{2}}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)^{2}}\right)^{3}+4 i \ln \left(x \right)+2 i \ln \left(x +1\right)-4 i \ln \left(\ln \left(x \right)\right)\right)^{2}}$&$212$\\ \hline \end{longtable}"," ",0,"-4/x^2/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I/ln(x)^2)*csgn(I*x^2/ln(x)^2)-Pi*csgn(I*x^2)*csgn(I*x^2/ln(x)^2)^2-Pi*csgn(I/ln(x)^2)*csgn(I*x^2/ln(x)^2)^2-Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+2*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-Pi*csgn(I*ln(x)^2)^3+Pi*csgn(I*x^2/ln(x)^2)^3+4*I*ln(x)+2*I*ln(x+1)-4*I*ln(ln(x)))^2","C"
4414,1,34,28,0.246000," ","int(((4*x-2)*exp(-1/(3*x^2-3*x))^2+(18*x^4-36*x^3+30*x^2-6*x)*exp(-1/(3*x^2-3*x))+54*x^5-108*x^4+57*x^3-6*x^2+3*x)/(3*x^4-6*x^3+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 x^{2}+\ln \left(x \right)+{\mathrm e}^{-\frac{2}{3 x \left(x -1\right)}}+6 x \,{\mathrm e}^{-\frac{1}{3 x \left(x -1\right)}}$&$34$\\ norman&$\frac{x^{2} {\mathrm e}^{-\frac{2}{3 x^{2}-3 x}}-9 x^{3}+9 x^{4}-x \,{\mathrm e}^{-\frac{2}{3 x^{2}-3 x}}-6 x^{2} {\mathrm e}^{-\frac{1}{3 x^{2}-3 x}}+6 x^{3} {\mathrm e}^{-\frac{1}{3 x^{2}-3 x}}}{x \left(x -1\right)}+\ln \left(x \right)$&$101$\\ \hline \end{longtable}"," ",0,"9*x^2+ln(x)+exp(-2/3/x/(x-1))+6*x*exp(-1/3/x/(x-1))","A"
4415,1,20,9,0.019000," ","int((x^2-3*x-5)*exp(x)-6*x+15,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}-5 x \right) {\mathrm e}^{x}-3 x^{2}+15 x$&$20$\\ default&$15 x +{\mathrm e}^{x} x^{2}-5 \,{\mathrm e}^{x} x -3 x^{2}$&$21$\\ norman&$15 x +{\mathrm e}^{x} x^{2}-5 \,{\mathrm e}^{x} x -3 x^{2}$&$21$\\ \hline \end{longtable}"," ",0,"(x^2-5*x)*exp(x)-3*x^2+15*x","B"
4416,1,43,29,0.086000," ","int(((-3*x^6-9*x^5+18*x^4+51*x^3-54*x^2-81*x+81)*exp(2)*exp(exp(2)/exp(x))*exp(exp(exp(2)/exp(x)))+(-72*x^3-108*x^2+132*x+84)*exp(x))/(x^6+3*x^5-6*x^4-17*x^3+18*x^2+27*x-27)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{36 x^{2}+36 x -96}{x^{4}+2 x^{3}-5 x^{2}-6 x +9}+3 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{2-x}}}$&$43$\\ \hline \end{longtable}"," ",0,"(36*x^2+36*x-96)/(x^4+2*x^3-5*x^2-6*x+9)+3*exp(exp(exp(2-x)))","A"
4417,1,11,21,0.018000," ","int(1/32*exp(1/2*ln(3)+1/32*x-1/2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{\ln \left(3\right)}{2}+\frac{x}{32}-\frac{1}{2}}$&$11$\\ derivativedivides&${\mathrm e}^{\frac{\ln \left(3\right)}{2}+\frac{x}{32}-\frac{1}{2}}$&$11$\\ default&${\mathrm e}^{\frac{\ln \left(3\right)}{2}+\frac{x}{32}-\frac{1}{2}}$&$11$\\ norman&${\mathrm e}^{\frac{\ln \left(3\right)}{2}+\frac{x}{32}-\frac{1}{2}}$&$11$\\ risch&$\sqrt{3}\, {\mathrm e}^{-\frac{1}{2}+\frac{x}{32}}$&$11$\\ meijerg&$-{\mathrm e}^{\frac{\ln \left(3\right)}{2}-\frac{1}{2}} \left(1-{\mathrm e}^{\frac{x}{32}}\right)$&$18$\\ \hline \end{longtable}"," ",0,"exp(1/2*ln(3)+1/32*x-1/2)","A"
4418,1,42,32,0.219000," ","int(((-81*x^2+324)*exp(-ln(-x^2+4)+2-x)^2-50*x^4+350*x^3+200*x^2-4300*x+4000)/(81*x^2-324)/exp(-ln(-x^2+4)+2-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\left(-\frac{10000}{81}+\frac{4000}{81} x +\frac{4600}{81} x^{2}-\frac{2000}{81} x^{3}-\frac{425}{81} x^{4}+\frac{250}{81} x^{5}-\frac{25}{81} x^{6}\right) {\mathrm e}^{2 x -4}$&$42$\\ default&$-x -\frac{100 \,{\mathrm e}^{2 x -4} \left(2 x -4\right)^{2}}{9}+\frac{25 \left(2 x -4\right)^{3} {\mathrm e}^{2 x -4}}{27}+\frac{575 \left(2 x -4\right)^{4} {\mathrm e}^{2 x -4}}{1296}-\frac{25 \left(2 x -4\right)^{5} {\mathrm e}^{2 x -4}}{1296}-\frac{25 \,{\mathrm e}^{2 x -4} \left(2 x -4\right)^{6}}{5184}$&$80$\\ meijerg&$-\frac{250 \,2^{2+4 \,{\mathrm e}^{-4}} {\mathrm e}^{2 x} \left(-x^{2}+4\right)^{2-2 \,{\mathrm e}^{-4}} \hypergeom \left(\left[\frac{1}{2}, 1-2 \,{\mathrm e}^{-4}\right], \left[\frac{3}{2}\right], \frac{x^{2}}{4}\right) x \,{\mathrm e}^{-4}}{81}+\frac{2 \,2^{-3-4 \,{\mathrm e}^{4}+4 \,{\mathrm e}^{-4}} {\mathrm e}^{4} \left(-x^{2}+4\right)^{2 \,{\mathrm e}^{4}+2-2 \,{\mathrm e}^{-4}} \hypergeom \left(\left[\frac{3}{2}, -2 \,{\mathrm e}^{-4}+2 \,{\mathrm e}^{4}+1\right], \left[\frac{5}{2}\right], \frac{x^{2}}{4}\right) x^{3} {\mathrm e}^{-4}}{3 \left(x^{2}-4\right)^{2}}-\frac{2 \,2^{-1-4 \,{\mathrm e}^{4}+4 \,{\mathrm e}^{-4}} {\mathrm e}^{4} \left(-x^{2}+4\right)^{2 \,{\mathrm e}^{4}+2-2 \,{\mathrm e}^{-4}} \hypergeom \left(\left[\frac{1}{2}, -2 \,{\mathrm e}^{-4}+2 \,{\mathrm e}^{4}+1\right], \left[\frac{3}{2}\right], \frac{x^{2}}{4}\right) x \,{\mathrm e}^{-4}}{\left(x^{2}-4\right)^{2}}+\frac{10 \,2^{-2+4 \,{\mathrm e}^{-4}} {\mathrm e}^{2 x} \left(-x^{2}+4\right)^{2-2 \,{\mathrm e}^{-4}} \hypergeom \left(\left[\frac{5}{2}, 1-2 \,{\mathrm e}^{-4}\right], \left[\frac{7}{2}\right], \frac{x^{2}}{4}\right) x^{5} {\mathrm e}^{-4}}{81}-\frac{350 \,2^{-4+4 \,{\mathrm e}^{-4}} {\mathrm e}^{2 x} \left(-x^{2}+4\right)^{2-2 \,{\mathrm e}^{-4}} \hypergeom \left(\left[2, 1-2 \,{\mathrm e}^{-4}\right], \left[3\right], \frac{x^{2}}{4}\right) x^{4} {\mathrm e}^{-4}}{81}+\frac{2150 \,2^{-2+4 \,{\mathrm e}^{-4}} {\mathrm e}^{2 x} \left(-x^{2}+4\right)^{2-2 \,{\mathrm e}^{-4}} \hypergeom \left(\left[1, 1-2 \,{\mathrm e}^{-4}\right], \left[2\right], \frac{x^{2}}{4}\right) x^{2} {\mathrm e}^{-4}}{81}-\frac{50 \,{\mathrm e}^{2 x} \left(-x^{2}+4\right)^{2-2 \,{\mathrm e}^{-4}} 2^{4 \,{\mathrm e}^{-4}} \hypergeom \left(\left[\frac{3}{2}, 1-2 \,{\mathrm e}^{-4}\right], \left[\frac{5}{2}\right], \frac{x^{2}}{4}\right) x^{3} {\mathrm e}^{-4}}{243}$&$373$\\ \hline \end{longtable}"," ",0,"-x+(-10000/81+4000/81*x+4600/81*x^2-2000/81*x^3-425/81*x^4+250/81*x^5-25/81*x^6)*exp(2*x-4)","A"
4419,1,21,12,0.029000," ","int(1/9*((6*x-18)*ln(1/x)+2*x^2+3*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\frac{1}{x}\right)^{2}+\frac{2 x \ln \left(\frac{1}{x}\right)}{3}+x +\frac{x^{2}}{9}$&$21$\\ default&$\ln \left(\frac{1}{x}\right)^{2}+\frac{2 x \ln \left(\frac{1}{x}\right)}{3}+x +\frac{x^{2}}{9}$&$21$\\ norman&$\ln \left(\frac{1}{x}\right)^{2}+\frac{2 x \ln \left(\frac{1}{x}\right)}{3}+x +\frac{x^{2}}{9}$&$21$\\ risch&$\ln \left(\frac{1}{x}\right)^{2}+\frac{2 x \ln \left(\frac{1}{x}\right)}{3}+x +\frac{x^{2}}{9}$&$21$\\ \hline \end{longtable}"," ",0,"ln(1/x)^2+2/3*x*ln(1/x)+x+1/9*x^2","A"
4420,1,28,27,0.029000," ","int((32*x^2*exp(16*x^2)*ln(x)^2*exp(exp(16*x^2))+(2*x^2+6*x-2)*ln(x)^2+2*x*ln(x)-2*x-10)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$6 x +x^{2}-2 \ln \left(x \right)+\frac{2 x +10}{\ln \left(x \right)}+{\mathrm e}^{{\mathrm e}^{16 x^{2}}}$&$28$\\ default&$6 x +x^{2}-2 \ln \left(x \right)+\frac{2 x}{\ln \left(x \right)}+\frac{10}{\ln \left(x \right)}+{\mathrm e}^{{\mathrm e}^{16 x^{2}}}$&$32$\\ \hline \end{longtable}"," ",0,"6*x+x^2-2*ln(x)+2*(5+x)/ln(x)+exp(exp(16*x^2))","A"
4421,1,29,30,0.221000," ","int((16*x*exp(2)*exp(x)*ln(x)^2+((32*x^2*exp(2)+2)*exp(x)+x^2-3*x+1)*ln(x)+(16*x^3*exp(2)-2)*exp(x)+x^3-2*x^2+x-1)/(4*exp(2)*exp(x)*ln(x)^2+8*x*exp(2)*exp(x)*ln(x)+4*x^2*exp(2)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2}-\frac{x \left(x -2 \,{\mathrm e}^{x}-1\right) {\mathrm e}^{-x -2}}{4 \left(x +\ln \left(x \right)\right)}$&$29$\\ \hline \end{longtable}"," ",0,"2*x^2-1/4/(x+ln(x))*x*(x-2*exp(x)-1)*exp(-x-2)","A"
4422,1,35,30,0.395000," ","int(((((x^3-12*x^2+48*x-64)*exp(x)*exp(exp(x))-x^3+13*x^2-56*x+80)*exp(exp(exp(x))-x)-x^2+8*x-16)*exp((x-4)*exp(exp(exp(x))-x)+2-x)+2)/(x^2-8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2}{x -4}+{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}-x} x -4 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}-x}-x +2}$&$35$\\ \hline \end{longtable}"," ",0,"-2/(x-4)+exp(exp(exp(exp(x))-x)*x-4*exp(exp(exp(x))-x)-x+2)","A"
4423,1,16,18,0.019000," ","int(ln(3)-4*x^3-4*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x^{4}-2 x^{2}+x \ln \left(3\right)$&$16$\\ default&$-x^{4}-2 x^{2}+x \ln \left(3\right)$&$16$\\ norman&$-x^{4}-2 x^{2}+x \ln \left(3\right)$&$16$\\ risch&$-x^{4}-2 x^{2}+x \ln \left(3\right)$&$16$\\ \hline \end{longtable}"," ",0,"-x^4-2*x^2+x*ln(3)","A"
4424,1,24,16,0.052000," ","int(1/25*(-50*x*ln(5*x)+2*x*ln(3)+3*x^2-25*x)*exp(-x^2*ln(5*x)+1/25*x^2*ln(3)+1/25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-x^{2} \ln \left(5 x \right)+\frac{x^{2} \ln \left(3\right)}{25}+\frac{x^{3}}{25}}$&$24$\\ risch&$\left(5 x \right)^{-x^{2}} 3^{\frac{x^{2}}{25}} {\mathrm e}^{\frac{x^{3}}{25}}$&$24$\\ \hline \end{longtable}"," ",0,"exp(-x^2*ln(5*x)+1/25*x^2*ln(3)+1/25*x^3)","A"
4425,1,22,26,0.160000," ","int((x^2-4*x+2)/(2*(x^2-x)*ln(2)-x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x -\ln \left(x -1\right)-2 \ln \left(x \right)}{2 \ln \left(2\right)-1}$&$22$\\ norman&$\frac{x}{2 \ln \left(2\right)-1}-\frac{2 \ln \left(x \right)}{2 \ln \left(2\right)-1}-\frac{\ln \left(x -1\right)}{2 \ln \left(2\right)-1}$&$38$\\ risch&$\frac{x}{2 \ln \left(2\right)-1}-\frac{2 \ln \left(x \right)}{2 \ln \left(2\right)-1}-\frac{\ln \left(x -1\right)}{2 \ln \left(2\right)-1}$&$38$\\ meijerg&$\frac{\frac{x \left(2 \ln \left(2\right)-1\right)}{1-2 \ln \left(2\right)}-\ln \left(1+\frac{x \left(2 \ln \left(2\right)-1\right)}{1-2 \ln \left(2\right)}\right)}{1-2 \ln \left(2\right)}+\frac{4 \ln \left(1+\frac{x \left(2 \ln \left(2\right)-1\right)}{1-2 \ln \left(2\right)}\right)}{1-2 \ln \left(2\right)}-\frac{2 \left(2 \ln \left(2\right)-1\right) \left(\ln \left(x \right)+\ln \left(2 \ln \left(2\right)-1\right)+\ln \left(-\frac{1}{1-2 \ln \left(2\right)}\right)+i \pi -\ln \left(1+\frac{x \left(2 \ln \left(2\right)-1\right)}{1-2 \ln \left(2\right)}\right)\right)}{\left(1-2 \ln \left(2\right)\right)^{2}}$&$140$\\ \hline \end{longtable}"," ",0,"1/(2*ln(2)-1)*(x-ln(x-1)-2*ln(x))","A"
4426,1,35,20,0.053000," ","int(-2*exp(16-x)^2*exp(exp(2))^4+2*x*exp(16-x)*exp(exp(2))^2+2*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-2 x +32+4 \,{\mathrm e}^{2}}+2 \left(-x -1\right) {\mathrm e}^{2 \,{\mathrm e}^{2}+16-x}+x^{2}+2 x$&$35$\\ norman&$x^{2}+{\mathrm e}^{-2 x +32} {\mathrm e}^{4 \,{\mathrm e}^{2}}+2 x -2 \,{\mathrm e}^{2 \,{\mathrm e}^{2}} {\mathrm e}^{16-x}-2 x \,{\mathrm e}^{16-x} {\mathrm e}^{2 \,{\mathrm e}^{2}}$&$49$\\ default&$x^{2}+2 x +{\mathrm e}^{-2 x +32} {\mathrm e}^{4 \,{\mathrm e}^{2}}+2 \,{\mathrm e}^{2 \,{\mathrm e}^{2}} \left({\mathrm e}^{16-x} \left(16-x \right)-17 \,{\mathrm e}^{16-x}\right)$&$50$\\ derivativedivides&$\left(16-x \right)^{2}-544+34 x +{\mathrm e}^{-2 x +32} {\mathrm e}^{4 \,{\mathrm e}^{2}}-2 \,{\mathrm e}^{2 \,{\mathrm e}^{2}} \left(-{\mathrm e}^{16-x} \left(16-x \right)+17 \,{\mathrm e}^{16-x}\right)$&$56$\\ \hline \end{longtable}"," ",0,"exp(-2*x+32+4*exp(2))+2*(-x-1)*exp(2*exp(2)+16-x)+x^2+2*x","A"
4427,1,18,15,0.086000," ","int(1/144*((-45*exp(1/4*x)+36*x+36)*exp(x)+17*exp(1/4*x)-68)*exp(1/36*(-9*exp(1/4*x)+9*x)*exp(x)+17/36*exp(1/4*x)-17/36*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(x -{\mathrm e}^{\frac{x}{4}}\right) \left(9 \,{\mathrm e}^{x}-17\right)}{36}}$&$18$\\ norman&${\mathrm e}^{\frac{\left(-9 \,{\mathrm e}^{\frac{x}{4}}+9 x \right) {\mathrm e}^{x}}{36}+\frac{17 \,{\mathrm e}^{\frac{x}{4}}}{36}-\frac{17 x}{36}}$&$30$\\ \hline \end{longtable}"," ",0,"exp(1/36*(x-exp(1/4*x))*(9*exp(x)-17))","A"
4428,1,82,27,0.300000," ","int((((4*x^2*exp(1)+4*x^3-8*x^2-16*x)*exp(x)^2+(-12*x^2*exp(1)-12*x^3+24*x^2+48*x)*exp(x)-3*x*exp(1)-4*x^2+6*x+8)*exp(exp(x)^2-6*exp(x)+9)^2+((-20*x^2*exp(1)-20*x^3+40*x^2+80*x)*exp(x)^2+(60*x^2*exp(1)+60*x^3-120*x^2-240*x)*exp(x)+30*x*exp(1)+40*x^2-60*x-80)*exp(exp(x)^2-6*exp(x)+9)-75*x*exp(1)-100*x^2+150*x+200)/(x^5*exp(1)^2+(2*x^6-4*x^5-8*x^4)*exp(1)+x^7-4*x^6-4*x^5+16*x^4+16*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25}{x^{2} \left(x \,{\mathrm e}+x^{2}-2 x -4\right)}+\frac{{\mathrm e}^{2 \,{\mathrm e}^{2 x}-12 \,{\mathrm e}^{x}+18}}{x^{2} \left(x \,{\mathrm e}+x^{2}-2 x -4\right)}-\frac{10 \,{\mathrm e}^{{\mathrm e}^{2 x}-6 \,{\mathrm e}^{x}+9}}{x^{2} \left(x \,{\mathrm e}+x^{2}-2 x -4\right)}$&$82$\\ \hline \end{longtable}"," ",0,"25/x^2/(x*exp(1)+x^2-2*x-4)+1/x^2/(x*exp(1)+x^2-2*x-4)*exp(2*exp(2*x)-12*exp(x)+18)-10/x^2/(x*exp(1)+x^2-2*x-4)*exp(exp(2*x)-6*exp(x)+9)","B"
4429,1,25,23,0.088000," ","int(((4*x^4+54*x^3+264*x^2+544*x+384)*ln(x^2+3*x)+10*x^2+30*x)/((x^5+15*x^4+84*x^3+208*x^2+192*x)*ln(x^2+3*x)^2-5*x^3-35*x^2-60*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x^{2}+3 x \right)^{2}-\frac{5}{x^{2}+8 x +16}\right)$&$25$\\ norman&$-2 \ln \left(4+x \right)+\ln \left(\ln \left(x^{2}+3 x \right)^{2} x^{2}+8 \ln \left(x^{2}+3 x \right)^{2} x +16 \ln \left(x^{2}+3 x \right)^{2}-5\right)$&$50$\\ \hline \end{longtable}"," ",0,"ln(ln(x^2+3*x)^2-5/(x^2+8*x+16))","A"
4430,1,24,18,0.041000," ","int(2*x/ln(ln(ln(5)+9)^2+6*ln(ln(5)+9)+7)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{2}}{\ln \left(\ln \left(\ln \left(5\right)+9\right)^{2}+6 \ln \left(\ln \left(5\right)+9\right)+7\right)^{2}}$&$24$\\ default&$\frac{x^{2}}{\ln \left(\ln \left(\ln \left(5\right)+9\right)^{2}+6 \ln \left(\ln \left(5\right)+9\right)+7\right)^{2}}$&$24$\\ norman&$\frac{x^{2}}{\ln \left(\ln \left(\ln \left(5\right)+9\right)^{2}+6 \ln \left(\ln \left(5\right)+9\right)+7\right)^{2}}$&$24$\\ risch&$\frac{x^{2}}{\ln \left(\ln \left(\ln \left(5\right)+9\right)^{2}+6 \ln \left(\ln \left(5\right)+9\right)+7\right)^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"x^2/ln(ln(ln(5)+9)^2+6*ln(ln(5)+9)+7)^2","A"
4431,1,18,18,0.013000," ","int((x^2+3*x+1)*exp(x)-2*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}+x \right) {\mathrm e}^{x}-x^{2}-x$&$18$\\ default&$-x +{\mathrm e}^{x} x^{2}+{\mathrm e}^{x} x -x^{2}$&$20$\\ norman&$-x +{\mathrm e}^{x} x^{2}+{\mathrm e}^{x} x -x^{2}$&$20$\\ \hline \end{longtable}"," ",0,"(x^2+x)*exp(x)-x^2-x","A"
4432,1,30,19,0.020000," ","int(1/5184*(5184*x^5*exp(x)*exp(exp(x))+32*x^12+120*x^9+108*x^6-54*x^3-81)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{96}+\frac{1}{256 x^{4}}+\frac{1}{96 x}+\frac{x^{5}}{216}+\frac{x^{8}}{1296}+{\mathrm e}^{{\mathrm e}^{x}}$&$30$\\ risch&$\frac{x^{8}}{1296}+\frac{x^{5}}{216}+\frac{x^{2}}{96}+\frac{54 x^{3}+\frac{81}{4}}{5184 x^{4}}+{\mathrm e}^{{\mathrm e}^{x}}$&$32$\\ \hline \end{longtable}"," ",0,"1/96*x^2+1/256/x^4+1/96/x+1/216*x^5+1/1296*x^8+exp(exp(x))","A"
4433,1,24,20,0.083000," ","int((x*exp(-x+4)*ln(x)*exp(exp(-x+4))*ln((5*ln(5)+5*exp(2)-20)*ln(x))-exp(exp(-x+4)))/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{{\mathrm e}^{-x +4}} \ln \left(\left(5 \ln \left(5\right)+5 \,{\mathrm e}^{2}-20\right) \ln \left(x \right)\right)$&$24$\\ \hline \end{longtable}"," ",0,"-exp(exp(-x+4))*ln((5*ln(5)+5*exp(2)-20)*ln(x))","A"
4434,1,22,22,0.030000," ","int((-4*x^3+80*x^2-479*x+798)/(4*x^3-80*x^2+399*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +2 \ln \left(x \right)-\ln \left(4 x^{2}-80 x +399\right)$&$22$\\ default&$-x -\ln \left(2 x -21\right)+2 \ln \left(x \right)-\ln \left(2 x -19\right)$&$25$\\ norman&$-x -\ln \left(2 x -21\right)+2 \ln \left(x \right)-\ln \left(2 x -19\right)$&$25$\\ \hline \end{longtable}"," ",0,"-x+2*ln(x)-ln(4*x^2-80*x+399)","A"
4435,1,64,23,0.048000," ","int(((6*x^2*exp(x)^4+(-18*x^2-18*x)*exp(x)^2)*ln(x)^2-150*x*exp(x)^4*ln(x)-75*x*exp(x)^4)/((8*x^2*exp(x)^4-24*x*exp(x)^2+18)*ln(x)^2+(-200*x*exp(x)^4+300*exp(x)^2)*ln(x)+1250*exp(x)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x^{2} {\mathrm e}^{2 x}}{2 \left(2 x \,{\mathrm e}^{2 x}-3\right)}+\frac{75 x^{2} {\mathrm e}^{4 x}}{2 \left(2 x \,{\mathrm e}^{2 x}-3\right) \left(2 \ln \left(x \right) {\mathrm e}^{2 x} x -25 \,{\mathrm e}^{2 x}-3 \ln \left(x \right)\right)}$&$64$\\ \hline \end{longtable}"," ",0,"3/2*x^2*exp(2*x)/(2*x*exp(2*x)-3)+75/2*x^2*exp(4*x)/(2*x*exp(2*x)-3)/(2*ln(x)*exp(2*x)*x-25*exp(2*x)-3*ln(x))","B"
4436,1,99,22,0.039000," ","int(1/32*((64*x^9+64*x^8)*exp(x)^2+(-128*x^11-1280*x^10-2880*x^9-1216*x^8-256*x^7-8*x^5+16*x^4)*exp(x)+768*x^12+7680*x^11+23040*x^10+21120*x^9+7488*x^8+2880*x^7-288*x^5-720*x^4-24*x^3-96*x^2-3)/x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{6}+48 x^{5}+180 x^{4}+220 x^{3}+117 x^{2}+90 x +\frac{288 x^{5}+360 x^{4}+8 x^{3}+24 x^{2}+\frac{1}{2}}{32 x^{6}}+{\mathrm e}^{2 x} x^{2}-\frac{\left(16 x^{6}+96 x^{5}+72 x^{4}+8 x^{3}+24 x^{2}+1\right) {\mathrm e}^{x}}{4 x^{2}}$&$99$\\ default&$117 x^{2}+90 x +\frac{1}{64 x^{6}}+\frac{3}{4 x^{4}}+\frac{1}{4 x^{3}}+\frac{45}{4 x^{2}}+\frac{9}{x}+220 x^{3}+180 x^{4}+48 x^{5}+4 x^{6}-\frac{{\mathrm e}^{x}}{4 x^{2}}-2 \,{\mathrm e}^{x} x -6 \,{\mathrm e}^{x}-18 \,{\mathrm e}^{x} x^{2}-24 \,{\mathrm e}^{x} x^{3}-4 \,{\mathrm e}^{x} x^{4}+{\mathrm e}^{2 x} x^{2}$&$100$\\ \hline \end{longtable}"," ",0,"4*x^6+48*x^5+180*x^4+220*x^3+117*x^2+90*x+1/32*(288*x^5+360*x^4+8*x^3+24*x^2+1/2)/x^6+exp(2*x)*x^2-1/4*(16*x^6+96*x^5+72*x^4+8*x^3+24*x^2+1)/x^2*exp(x)","B"
4437,1,117,22,0.132000," ","int((-2*exp(2)*ln(5)*exp(exp(2)/x)^2+((-2*exp(2)*x+2*x^3+2*x^2)*ln(5)*exp(x)+(-2*exp(2)*exp(3)+(-2*x^2-2*x)*exp(2)+4*x^3+2*x^2)*ln(5))*exp(exp(2)/x)+(2*x^4+2*x^3)*ln(5)*exp(x)^2+((2*x^3+2*x^2)*exp(3)+2*x^5+8*x^4+4*x^3)*ln(5)*exp(x)+((4*x^3+2*x^2)*exp(3)+4*x^5+6*x^4+2*x^3)*ln(5))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4} \ln \left(5\right)+2 x^{2} {\mathrm e}^{3} \ln \left(5\right)+2 x^{3} \ln \left(5\right)+2 x \,{\mathrm e}^{3} \ln \left(5\right)+x^{2} \ln \left(5\right)+x^{2} \ln \left(5\right) {\mathrm e}^{2 x}+\left(2 x \,{\mathrm e}^{3} \ln \left(5\right)+2 x^{3} \ln \left(5\right)+2 x^{2} \ln \left(5\right)\right) {\mathrm e}^{x}+\ln \left(5\right) {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{x}}+\left(2 \,{\mathrm e}^{3} \ln \left(5\right)+2 x^{2} \ln \left(5\right)+2 x \,{\mathrm e}^{x} \ln \left(5\right)+2 x \ln \left(5\right)\right) {\mathrm e}^{\frac{{\mathrm e}^{2}}{x}}$&$117$\\ \hline \end{longtable}"," ",0,"x^4*ln(5)+2*x^2*exp(3)*ln(5)+2*x^3*ln(5)+2*x*exp(3)*ln(5)+x^2*ln(5)+x^2*ln(5)*exp(2*x)+(2*x*exp(3)*ln(5)+2*x^3*ln(5)+2*x^2*ln(5))*exp(x)+ln(5)*exp(2*exp(2)/x)+(2*exp(3)*ln(5)+2*x^2*ln(5)+2*x*exp(x)*ln(5)+2*x*ln(5))*exp(exp(2)/x)","B"
4438,1,24,23,0.041000," ","int(((75*x^6-100)*exp(5*x)*ln(3*x^6-4)^3+(5625*x^7-7500*x)*exp(5*x)*ln(3*x^6-4)^2+(140625*x^8-187500*x^2)*exp(5*x)*ln(3*x^6-4)+(1171875*x^9-1562500*x^3)*exp(5*x)-187500*x^6-45000*x^5+250000)/((3*x^6-4)*ln(3*x^6-4)^3+(225*x^7-300*x)*ln(3*x^6-4)^2+(5625*x^8-7500*x^2)*ln(3*x^6-4)+46875*x^9-62500*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \,{\mathrm e}^{5 x}+\frac{1250}{\left(\ln \left(3 x^{6}-4\right)+25 x \right)^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"5*exp(5*x)+1250/(ln(3*x^6-4)+25*x)^2","A"
4439,1,33,33,0.053000," ","int(((-2*exp((x^6-4*x^5+4*x^4)*ln(x)^2)-4*ln(2)-4)*ln(exp((x^6-4*x^5+4*x^4)*ln(x)^2)+2+2*ln(2))+((6*x^6+4*x^5-64*x^4+64*x^3)*ln(x)^2+(2*x^6-24*x^4+32*x^3)*ln(x))*exp((x^6-4*x^5+4*x^4)*ln(x)^2))/((x^3+12*x^2+48*x+64)*exp((x^6-4*x^5+4*x^4)*ln(x)^2)+2*(x^3+12*x^2+48*x+64)*ln(2)+2*x^3+24*x^2+96*x+128),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}^{x^{4} \left(x -2\right)^{2} \ln \left(x \right)^{2}}+2+2 \ln \left(2\right)\right)}{x^{2}+8 x +16}$&$33$\\ \hline \end{longtable}"," ",0,"1/(x^2+8*x+16)*ln(exp(x^4*(x-2)^2*ln(x)^2)+2+2*ln(2))","A"
4440,0,0,24,0.169000," ","int((((-3*x-8)*exp(2)+4*x^2+8*x)*exp((exp(2)*x-3*x+8)/x)*ln(x)+(exp(2)*x-x^2)*exp((exp(2)*x-3*x+8)/x))/(x^5*exp(2)^2-2*x^6*exp(2)+x^7),x)","\[\int \frac{\left(\left(-3 x -8\right) {\mathrm e}^{2}+4 x^{2}+8 x \right) {\mathrm e}^{\frac{{\mathrm e}^{2} x -3 x +8}{x}} \ln \left(x \right)+\left({\mathrm e}^{2} x -x^{2}\right) {\mathrm e}^{\frac{{\mathrm e}^{2} x -3 x +8}{x}}}{x^{5} {\mathrm e}^{4}-2 x^{6} {\mathrm e}^{2}+x^{7}}\, dx\]"," ",0,"int((((-3*x-8)*exp(2)+4*x^2+8*x)*exp((exp(2)*x-3*x+8)/x)*ln(x)+(exp(2)*x-x^2)*exp((exp(2)*x-3*x+8)/x))/(x^5*exp(2)^2-2*x^6*exp(2)+x^7),x)","F"
4441,1,30,26,0.115000," ","int((((-2*ln(3)^2+(10*x+20)*ln(3)-50*x-50)*ln(x)^3+(-48*ln(3)+120*x+240)*ln(x)^2+(-24*ln(3)+120*x-168)*ln(x)-288)*exp(((ln(3)^2+(-10*x-10)*ln(3)+25*x^2+50*x+25)*ln(x)^2+(24*ln(3)-120*x-120)*ln(x)+144)/x^2/ln(x)^2)+x^3*ln(x)^3)/x^3/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{\left(\ln \left(3\right) \ln \left(x \right)-5 x \ln \left(x \right)-5 \ln \left(x \right)+12\right)^{2}}{\ln \left(x \right)^{2} x^{2}}}$&$30$\\ \hline \end{longtable}"," ",0,"x+exp((ln(3)*ln(x)-5*x*ln(x)-5*ln(x)+12)^2/ln(x)^2/x^2)","A"
4442,1,49,28,0.127000," ","int((50*x-50)*exp((4*(ln(2)+25*x^2-50*x+25)*ln(3)*ln(2)^2+5*ln(2)+125*x^2-250*x+127)/(4*ln(2)^2*ln(3)+5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{4 \left(\ln \left(2\right)+25 x^{2}-50 x +25\right) \ln \left(3\right) \ln \left(2\right)^{2}+5 \ln \left(2\right)+125 x^{2}-250 x +127}{4 \ln \left(2\right)^{2} \ln \left(3\right)+5}}$&$49$\\ gosper&${\mathrm e}^{\frac{100 x^{2} \ln \left(3\right) \ln \left(2\right)^{2}+4 \ln \left(3\right) \ln \left(2\right)^{3}-200 \ln \left(2\right)^{2} \ln \left(3\right) x +100 \ln \left(2\right)^{2} \ln \left(3\right)+125 x^{2}+5 \ln \left(2\right)-250 x +127}{4 \ln \left(2\right)^{2} \ln \left(3\right)+5}}$&$65$\\ risch&${\mathrm e}^{\frac{100 x^{2} \ln \left(3\right) \ln \left(2\right)^{2}+4 \ln \left(3\right) \ln \left(2\right)^{3}-200 \ln \left(2\right)^{2} \ln \left(3\right) x +100 \ln \left(2\right)^{2} \ln \left(3\right)+125 x^{2}+5 \ln \left(2\right)-250 x +127}{4 \ln \left(2\right)^{2} \ln \left(3\right)+5}}$&$65$\\ default&$\frac{25 \left(4 \ln \left(2\right)^{2} \ln \left(3\right)+5\right) {\mathrm e}^{\frac{\left(100 \ln \left(2\right)^{2} \ln \left(3\right)+125\right) x^{2}}{4 \ln \left(2\right)^{2} \ln \left(3\right)+5}+\frac{\left(-200 \ln \left(2\right)^{2} \ln \left(3\right)-250\right) x}{4 \ln \left(2\right)^{2} \ln \left(3\right)+5}+\frac{4 \left(\ln \left(2\right)+25\right) \ln \left(3\right) \ln \left(2\right)^{2}+5 \ln \left(2\right)+127}{4 \ln \left(2\right)^{2} \ln \left(3\right)+5}}}{100 \ln \left(2\right)^{2} \ln \left(3\right)+125}+\frac{25 i \left(-200 \ln \left(2\right)^{2} \ln \left(3\right)-250\right) \sqrt{\pi}\, {\mathrm e}^{\frac{4 \left(\ln \left(2\right)+25\right) \ln \left(3\right) \ln \left(2\right)^{2}+5 \ln \left(2\right)+127}{4 \ln \left(2\right)^{2} \ln \left(3\right)+5}-\frac{\left(-200 \ln \left(2\right)^{2} \ln \left(3\right)-250\right)^{2}}{4 \left(4 \ln \left(2\right)^{2} \ln \left(3\right)+5\right) \left(100 \ln \left(2\right)^{2} \ln \left(3\right)+125\right)}} \erf \left(i \sqrt{\frac{100 \ln \left(2\right)^{2} \ln \left(3\right)+125}{4 \ln \left(2\right)^{2} \ln \left(3\right)+5}}\, x +\frac{i \left(-200 \ln \left(2\right)^{2} \ln \left(3\right)-250\right)}{2 \left(4 \ln \left(2\right)^{2} \ln \left(3\right)+5\right) \sqrt{\frac{100 \ln \left(2\right)^{2} \ln \left(3\right)+125}{4 \ln \left(2\right)^{2} \ln \left(3\right)+5}}}\right)}{2 \left(100 \ln \left(2\right)^{2} \ln \left(3\right)+125\right) \sqrt{\frac{100 \ln \left(2\right)^{2} \ln \left(3\right)+125}{4 \ln \left(2\right)^{2} \ln \left(3\right)+5}}}+\frac{25 i \sqrt{\pi}\, {\mathrm e}^{\frac{4 \left(\ln \left(2\right)+25\right) \ln \left(3\right) \ln \left(2\right)^{2}+5 \ln \left(2\right)+127}{4 \ln \left(2\right)^{2} \ln \left(3\right)+5}-\frac{\left(-200 \ln \left(2\right)^{2} \ln \left(3\right)-250\right)^{2}}{4 \left(4 \ln \left(2\right)^{2} \ln \left(3\right)+5\right) \left(100 \ln \left(2\right)^{2} \ln \left(3\right)+125\right)}} \erf \left(i \sqrt{\frac{100 \ln \left(2\right)^{2} \ln \left(3\right)+125}{4 \ln \left(2\right)^{2} \ln \left(3\right)+5}}\, x +\frac{i \left(-200 \ln \left(2\right)^{2} \ln \left(3\right)-250\right)}{2 \left(4 \ln \left(2\right)^{2} \ln \left(3\right)+5\right) \sqrt{\frac{100 \ln \left(2\right)^{2} \ln \left(3\right)+125}{4 \ln \left(2\right)^{2} \ln \left(3\right)+5}}}\right)}{\sqrt{\frac{100 \ln \left(2\right)^{2} \ln \left(3\right)+125}{4 \ln \left(2\right)^{2} \ln \left(3\right)+5}}}$&$497$\\ \hline \end{longtable}"," ",0,"exp((4*(ln(2)+25*x^2-50*x+25)*ln(3)*ln(2)^2+5*ln(2)+125*x^2-250*x+127)/(4*ln(2)^2*ln(3)+5))","A"
4443,1,17,17,0.039000," ","int(1/20*(-exp(x)*x-1)*exp(exp(x))-8*x*exp(4*x^2)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{4 x^{2}}-\frac{x \,{\mathrm e}^{{\mathrm e}^{x}}}{20}$&$17$\\ norman&$x -{\mathrm e}^{4 x^{2}}-\frac{x \,{\mathrm e}^{{\mathrm e}^{x}}}{20}$&$17$\\ risch&$x -{\mathrm e}^{4 x^{2}}-\frac{x \,{\mathrm e}^{{\mathrm e}^{x}}}{20}$&$17$\\ \hline \end{longtable}"," ",0,"x-exp(4*x^2)-1/20*x*exp(exp(x))","A"
4444,1,18,22,0.041000," ","int((4*ln(x)*ln(ln(x))^2+(-2*ln(2)+8*x+8)*ln(x)*ln(ln(x))+(-2*ln(2)+4*x^2+8*x+4)*ln(x)+2*ln(2))/(ln(x)*ln(ln(x))^2+(2*x+2)*ln(x)*ln(ln(x))+(x^2+2*x+1)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x -\frac{2 x \ln \left(2\right)}{1+\ln \left(\ln \left(x \right)\right)+x}$&$18$\\ \hline \end{longtable}"," ",0,"4*x-2*x*ln(2)/(1+ln(ln(x))+x)","A"
4445,1,16,22,0.022000," ","int(((-4*x-1)*ln(x)-4*x^2-2*x-1)/(2*x^2*exp(2*x)^2*ln(x)^2+4*x^3*exp(2*x)^2*ln(x)+2*x^4*exp(2*x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-4 x}}{2 x \left(x +\ln \left(x \right)\right)}$&$16$\\ \hline \end{longtable}"," ",0,"1/2/x*exp(-4*x)/(x+ln(x))","A"
4446,1,17,17,0.057000," ","int((5*x*ln(3/2*x)-5*x*exp(5)+5*x^2-11*x-1)/(5*x*ln(3/2*x)-5*x*exp(5)+5*x^2-10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{\ln \left(x -{\mathrm e}^{5}+\ln \left(\frac{3 x}{2}\right)-2\right)}{5}$&$17$\\ norman&$x -\frac{\ln \left({\mathrm e}^{5}-\ln \left(\frac{3 x}{2}\right)-x +2\right)}{5}$&$19$\\ \hline \end{longtable}"," ",0,"x-1/5*ln(x-exp(5)+ln(3/2*x)-2)","A"
4447,0,0,24,0.093000," ","int(1/3*(((-64*x-64)*ln(x)+64)*ln(1/4*x^2)-128*ln(x))*exp(ln(ln(x)/x/ln(1/4*x^2))-x)^2/x/ln(x)/ln(1/4*x^2),x)","\[\int \frac{\left(\left(\left(-64 x -64\right) \ln \left(x \right)+64\right) \ln \left(\frac{x^{2}}{4}\right)-128 \ln \left(x \right)\right) \ln \left(x \right) {\mathrm e}^{-2 x}}{3 \ln \left(\frac{x^{2}}{4}\right)^{3} x^{3}}\, dx\]"," ",0,"int(1/3*(((-64*x-64)*ln(x)+64)*ln(1/4*x^2)-128*ln(x))*exp(ln(ln(x)/x/ln(1/4*x^2))-x)^2/x/ln(x)/ln(1/4*x^2),x)","F"
4448,1,1507,23,0.349000," ","int((-4*x^2*ln(x)^2+(-6*x^2+2)*ln(x)-2)*ln(4/5*x/ln(x)/exp(x^2*ln(x)+x^2))/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 \ln \left(2\right) \ln \left(\ln \left(x \right)\right)-4 x^{2} \ln \left(2\right) \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right) \ln \left(5\right)+2 x^{2} \ln \left(5\right)+\ln \left(\ln \left(x \right)\right)^{2}+\ln \left(x \right)^{2}-x^{4}+4 \ln \left(2\right) \ln \left(x \right)-x^{4} \ln \left(x \right)^{2}-2 \ln \left(x \right) \ln \left(\ln \left(x \right)\right)-2 x^{4} \ln \left(x \right)-4 x^{2} \ln \left(2\right)-i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{3}+i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{3}-i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{3}+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{3}+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{3}+i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{3}+2 x^{2} \ln \left(5\right) \ln \left(x \right)-2 \ln \left(5\right) \ln \left(x \right)+i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)+\left(2 x^{2} \ln \left(x \right)+2 x^{2}-2 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)\right) \ln \left(x^{x^{2}} {\mathrm e}^{x^{2}}\right)-i \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) x^{2} \pi +i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2}+i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2}-i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2}-i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(i x^{-x^{2}} {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2}-i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2}-i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2}+i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{-x^{2}} {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2}+i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2}-i \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i x^{-x^{2}} {\mathrm e}^{-x^{2}}\right) x^{2} \pi -i \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right) x^{2} \pi -i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x^{-x^{2}} {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)-i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2} \ln \left(x \right)-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2} \ln \left(x \right)+i \pi  \ln \left(\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x^{-x^{2}} {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)+i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x^{-x^{2}} {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)-i \pi  \,x^{2} \mathrm{csgn}\left(i x^{-x^{2}} {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2} \ln \left(x \right)-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2} \ln \left(x \right)-i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{3} \ln \left(x \right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{3} \ln \left(x \right)-i \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i x \right) x^{2} \pi +i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x \,x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right) \ln \left(x \right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x^{-x^{2}} {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(\frac{i x^{-x^{2}} {\mathrm e}^{-x^{2}}}{\ln \left(x \right)}\right) \ln \left(x \right)$&$1507$\\ \hline \end{longtable}"," ",0,"-4*ln(2)*ln(ln(x))-4*x^2*ln(2)*ln(x)+2*ln(ln(x))*ln(5)+2*x^2*ln(5)+ln(ln(x))^2+ln(x)^2-x^4+4*ln(2)*ln(x)-x^4*ln(x)^2-2*ln(x)*ln(ln(x))-2*x^4*ln(x)-4*x^2*ln(2)-I*Pi*ln(x)*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))^3+I*Pi*ln(ln(x))*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))^3-I*Pi*ln(x)*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))^3+I*Pi*x^2*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))^3+I*Pi*x^2*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))^3+I*Pi*ln(ln(x))*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))^3+2*x^2*ln(5)*ln(x)-2*ln(5)*ln(x)+I*Pi*x^2*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))^3*ln(x)+I*Pi*x^2*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))^3*ln(x)+(2*x^2*ln(x)+2*x^2-2*ln(x)+2*ln(ln(x)))*ln(x^(x^2)*exp(x^2))-I*Pi*ln(x)*csgn(I/ln(x))*csgn(I/(x^(x^2))*exp(-x^2))*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))-I*Pi*x^2*csgn(I*x)*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))^2*ln(x)-I*Pi*x^2*csgn(I/ln(x))*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))^2*ln(x)+I*Pi*ln(ln(x))*csgn(I/ln(x))*csgn(I/(x^(x^2))*exp(-x^2))*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))+I*Pi*x^2*csgn(I*x)*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))+I*Pi*x^2*csgn(I/ln(x))*csgn(I/(x^(x^2))*exp(-x^2))*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))-I*Pi*x^2*csgn(I/(x^(x^2))*exp(-x^2))*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))^2*ln(x)-I*Pi*x^2*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))^2*ln(x)-I*Pi*ln(x)*csgn(I*x)*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))-I*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))^2*csgn(I*x)*x^2*Pi-I*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))^2*csgn(I/ln(x))*x^2*Pi+I*Pi*ln(x)*csgn(I*x)*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))^2+I*Pi*ln(x)*csgn(I/ln(x))*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))^2-I*Pi*ln(ln(x))*csgn(I/ln(x))*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))^2-I*Pi*ln(ln(x))*csgn(I/(x^(x^2))*exp(-x^2))*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))^2-I*Pi*ln(ln(x))*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))^2+I*Pi*ln(ln(x))*csgn(I*x)*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))-I*Pi*ln(ln(x))*csgn(I*x)*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))^2+I*Pi*ln(x)*csgn(I/(x^(x^2))*exp(-x^2))*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))^2+I*Pi*ln(x)*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))^2-I*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))^2*csgn(I/(x^(x^2))*exp(-x^2))*x^2*Pi-I*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))^2*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))*x^2*Pi+I*Pi*x^2*csgn(I*x)*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))*csgn(I*x/ln(x)/(x^(x^2))*exp(-x^2))*ln(x)+I*Pi*x^2*csgn(I/ln(x))*csgn(I/(x^(x^2))*exp(-x^2))*csgn(I/ln(x)/(x^(x^2))*exp(-x^2))*ln(x)","C"
4449,1,16,15,0.027000," ","int(((-2*exp(2)+4)*ln(x)-4*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(2-{\mathrm e}^{2}\right) \ln \left(x \right)^{2}-4 x$&$16$\\ default&$-{\mathrm e}^{2} \ln \left(x \right)^{2}+2 \ln \left(x \right)^{2}-4 x$&$19$\\ risch&$-{\mathrm e}^{2} \ln \left(x \right)^{2}+2 \ln \left(x \right)^{2}-4 x$&$19$\\ \hline \end{longtable}"," ",0,"(2-exp(2))*ln(x)^2-4*x","A"
4450,1,14,14,0.038000," ","int((x^2*ln(2)+12*exp(3))/x^2/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{12 \,{\mathrm e}^{3}}{x \ln \left(2\right)}$&$14$\\ norman&$\frac{x^{2}-\frac{12 \,{\mathrm e}^{3}}{\ln \left(2\right)}}{x}$&$17$\\ default&$\frac{x \ln \left(2\right)-\frac{12 \,{\mathrm e}^{3}}{x}}{\ln \left(2\right)}$&$18$\\ gosper&$\frac{x^{2} \ln \left(2\right)-12 \,{\mathrm e}^{3}}{x \ln \left(2\right)}$&$20$\\ \hline \end{longtable}"," ",0,"x-12*exp(3)/x/ln(2)","A"
4451,1,22,20,0.036000," ","int((((-10*x^2+5*x)*exp(-x^2)-10*x)*exp(x)*ln(x)+(5*exp(-x^2)-10)*exp(x)+5*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(5 \,{\mathrm e}^{-x \left(x -1\right)}-10 \,{\mathrm e}^{x}\right) \ln \left(x \right)+5 x$&$22$\\ \hline \end{longtable}"," ",0,"(5*exp(-x*(x-1))-10*exp(x))*ln(x)+5*x","A"
4452,1,47,26,0.074000," ","int((ln(x^2)*ln(ln(x^2))+(3*ln(x)-1)*ln(x^2)-2)/(x*ln(x^2)*ln(ln(x^2))+(3*x*ln(x)+2*x)*ln(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-\ln \left(3 \ln \left(x \right)+\ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+2\right)$&$47$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(3*ln(x)+ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+2)","C"
4453,1,26,29,0.041000," ","int(((-x^3+x^2+x+4)*ln(-x^3+x^2+x+4)+x^5-4*x^4+4*x^3+8*x-9)/((x^3-x^2-x-4)*ln(-x^3+x^2+x+4)-x^5+2*x^4-x^3+4*x^2-3*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\ln \left(-x^{2}+\ln \left(-x^{3}+x^{2}+x +4\right)+x -1\right)$&$26$\\ norman&$-x +\ln \left(x^{2}-x -\ln \left(-x^{3}+x^{2}+x +4\right)+1\right)$&$28$\\ \hline \end{longtable}"," ",0,"-x+ln(-x^2+ln(-x^3+x^2+x+4)+x-1)","A"
4454,1,509,20,0.878000," ","int((-5*x*exp(x)*ln(20*x^2)+(-5*x^2-15*x)*exp(x)-10*x-20)/((x*ln(20*x^2)+x^2+3*x)*ln(ln(20*x^2)^2+(2*x+6)*ln(20*x^2)+x^2+6*x+9)^2+((2*exp(x)*x-6*x)*ln(20*x^2)+(2*x^2+6*x)*exp(x)-6*x^2-18*x)*ln(ln(20*x^2)^2+(2*x+6)*ln(20*x^2)+x^2+6*x+9)+(x*exp(x)^2-6*exp(x)*x+9*x)*ln(20*x^2)+(x^2+3*x)*exp(x)^2+(-6*x^2-18*x)*exp(x)+9*x^2+27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10 i}{2 \pi  \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(20\right)+2 i x +4 i \ln \left(x \right)+6 i\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(20\right)+2 i x +4 i \ln \left(x \right)+6 i\right)\right)^{2} \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(20\right)+2 i x +4 i \ln \left(x \right)+6 i\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(20\right)+2 i x +4 i \ln \left(x \right)+6 i\right)\right) \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(20\right)+2 i x +4 i \ln \left(x \right)+6 i\right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(20\right)+2 i x +4 i \ln \left(x \right)+6 i\right)^{2}\right)^{3}-2 \pi -4 i \ln \left(2\right)+2 i {\mathrm e}^{x}+4 i \ln \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \left(2 \ln \left(2\right)+\ln \left(5\right)\right)+2 i x +4 i \ln \left(x \right)+6 i\right)-6 i}$&$509$\\ \hline \end{longtable}"," ",0,"10*I/(2*Pi*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(20)+2*I*x+4*I*ln(x)+6*I)^2)^2+Pi*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(20)+2*I*x+4*I*ln(x)+6*I))^2*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(20)+2*I*x+4*I*ln(x)+6*I)^2)-2*Pi*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(20)+2*I*x+4*I*ln(x)+6*I))*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(20)+2*I*x+4*I*ln(x)+6*I)^2)^2-Pi*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(20)+2*I*x+4*I*ln(x)+6*I)^2)^3-2*Pi-4*I*ln(2)+2*I*exp(x)+4*I*ln(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*(2*ln(2)+ln(5))+2*I*x+4*I*ln(x)+6*I)-6*I)","C"
4455,1,37,25,0.237000," ","int(1/2*(2*(-exp(2)^2+(-4*x+4)*exp(2)-4*x^2+8*x-4)*ln(2)+exp(2)-2)/(exp(2)^2+(4*x-4)*exp(2)+4*x^2-8*x+4)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{{\mathrm e}^{2}}{4 \ln \left(2\right) \left(2 x -2+{\mathrm e}^{2}\right)}+\frac{1}{2 \ln \left(2\right) \left(2 x -2+{\mathrm e}^{2}\right)}$&$37$\\ gosper&$\frac{2 \,{\mathrm e}^{4} \ln \left(2\right)-8 x^{2} \ln \left(2\right)-8 \,{\mathrm e}^{2} \ln \left(2\right)-{\mathrm e}^{2}+8 \ln \left(2\right)+2}{4 \ln \left(2\right) \left(2 x -2+{\mathrm e}^{2}\right)}$&$47$\\ meijerg&$-\frac{x}{2 \left(\frac{{\mathrm e}^{2}}{2}-1\right) \ln \left(2\right) \left(1+\frac{2 x}{{\mathrm e}^{2}-2}\right) \left({\mathrm e}^{2}-2\right)}-\frac{{\mathrm e}^{4} x}{2 \left(\frac{{\mathrm e}^{2}}{2}-1\right) \left(1+\frac{2 x}{{\mathrm e}^{2}-2}\right) \left({\mathrm e}^{2}-2\right)}+\frac{2 \,{\mathrm e}^{2} x}{\left(\frac{{\mathrm e}^{2}}{2}-1\right) \left(1+\frac{2 x}{{\mathrm e}^{2}-2}\right) \left({\mathrm e}^{2}-2\right)}+\frac{{\mathrm e}^{2} x}{4 \left(\frac{{\mathrm e}^{2}}{2}-1\right) \ln \left(2\right) \left(1+\frac{2 x}{{\mathrm e}^{2}-2}\right) \left({\mathrm e}^{2}-2\right)}-\frac{2 x}{\left(\frac{{\mathrm e}^{2}}{2}-1\right) \left(1+\frac{2 x}{{\mathrm e}^{2}-2}\right) \left({\mathrm e}^{2}-2\right)}-\left({\mathrm e}^{2}-2\right) \left(-\frac{2 x}{\left(1+\frac{2 x}{{\mathrm e}^{2}-2}\right) \left({\mathrm e}^{2}-2\right)}+\ln \left(1+\frac{2 x}{{\mathrm e}^{2}-2}\right)\right)-\frac{\left({\mathrm e}^{2}-2\right)^{2} \left(\frac{2 x \left(\frac{6 x}{{\mathrm e}^{2}-2}+6\right)}{3 \left({\mathrm e}^{2}-2\right) \left(1+\frac{2 x}{{\mathrm e}^{2}-2}\right)}-2 \ln \left(1+\frac{2 x}{{\mathrm e}^{2}-2}\right)\right)}{4 \left(\frac{{\mathrm e}^{2}}{2}-1\right)}$&$271$\\ \hline \end{longtable}"," ",0,"-x-1/4/ln(2)/(2*x-2+exp(2))*exp(2)+1/2/ln(2)/(2*x-2+exp(2))","A"
4456,1,22,21,0.072000," ","int(((-90*x^3-45)*exp(1)-3*x^4-48*x^3-6*x-24)/(x^6-2*x^3+1)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{3 x \left(x +15 \,{\mathrm e}+8\right) {\mathrm e}^{-1}}{x^{3}-1}$&$22$\\ risch&$\frac{{\mathrm e}^{-1} \left(3 x^{2}+\left(24+45 \,{\mathrm e}\right) x \right)}{x^{3}-1}$&$25$\\ norman&$\frac{3 x^{2} {\mathrm e}^{-1}+3 \left(15 \,{\mathrm e}+8\right) {\mathrm e}^{-1} x}{x^{3}-1}$&$32$\\ default&${\mathrm e}^{-1} \left(-\frac{3 \left(-5 \,{\mathrm e}-3\right)}{x -1}+\frac{3 \left(-2-5 \,{\mathrm e}\right) x +15 \,{\mathrm e}+9}{x^{2}+x +1}\right)$&$44$\\ \hline \end{longtable}"," ",0,"3*x*(x+15*exp(1)+8)/exp(1)/(x^3-1)","A"
4457,1,11,10,0.030000," ","int(1/625*(162*x-450)*exp(81/625*x^2-18/25*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(9 x -25\right)^{2}}{625}}$&$11$\\ gosper&${\mathrm e}^{\frac{81}{625} x^{2}-\frac{18}{25} x +1}$&$12$\\ default&${\mathrm e}^{\frac{81}{625} x^{2}-\frac{18}{25} x +1}$&$12$\\ norman&${\mathrm e}^{\frac{81}{625} x^{2}-\frac{18}{25} x +1}$&$12$\\ \hline \end{longtable}"," ",0,"exp(1/625*(9*x-25)^2)","A"
4458,0,0,28,180.000000," ","int(((2*x^3*exp(4)^3+(-6*x^4+6*x^2)*exp(4)^2+(6*x^5-12*x^3+6*x)*exp(4)-2*x^6+6*x^4-6*x^2+2)*exp(x)^2+(8*x^3*exp(4)^3+(-8*x^6-16*x^5-8*x^4+24*x^2)*exp(4)^2+(16*x^7+24*x^6-16*x^5-40*x^4-8*x^3+24*x)*exp(4)-8*x^8-8*x^7+16*x^6+32*x^5-16*x^4-24*x^3+8)*exp(x)+(-96*x^5+64*x^4)*exp(4)^2+(96*x^8-160*x^7+224*x^6-96*x^5-224*x^4+160*x^3)*exp(4)-64*x^9+96*x^8+32*x^7-192*x^6+288*x^5-128*x^4-128*x^3+96*x^2)*exp(((x^2*exp(4)^2+(-2*x^3+2*x)*exp(4)+x^4-2*x^2+1)*exp(x)^2+(8*x^2*exp(4)^2+(-8*x^5+8*x^4-16*x^3+16*x)*exp(4)+8*x^6-8*x^5+8*x^3-16*x^2+8)*exp(x)+17*x^2*exp(4)^2+(-32*x^5+32*x^4-34*x^3+34*x)*exp(4)+16*x^8-32*x^7+48*x^6-32*x^5-15*x^4+32*x^3-34*x^2+17)/(x^2*exp(4)^2+(-2*x^3+2*x)*exp(4)+x^4-2*x^2+1))/(x^3*exp(4)^3+(-3*x^4+3*x^2)*exp(4)^2+(3*x^5-6*x^3+3*x)*exp(4)-x^6+3*x^4-3*x^2+1),x)","\[\int \frac{\left(\left(2 \,{\mathrm e}^{12} x^{3}+\left(-6 x^{4}+6 x^{2}\right) {\mathrm e}^{8}+\left(6 x^{5}-12 x^{3}+6 x \right) {\mathrm e}^{4}-2 x^{6}+6 x^{4}-6 x^{2}+2\right) {\mathrm e}^{2 x}+\left(8 \,{\mathrm e}^{12} x^{3}+\left(-8 x^{6}-16 x^{5}-8 x^{4}+24 x^{2}\right) {\mathrm e}^{8}+\left(16 x^{7}+24 x^{6}-16 x^{5}-40 x^{4}-8 x^{3}+24 x \right) {\mathrm e}^{4}-8 x^{8}-8 x^{7}+16 x^{6}+32 x^{5}-16 x^{4}-24 x^{3}+8\right) {\mathrm e}^{x}+\left(-96 x^{5}+64 x^{4}\right) {\mathrm e}^{8}+\left(96 x^{8}-160 x^{7}+224 x^{6}-96 x^{5}-224 x^{4}+160 x^{3}\right) {\mathrm e}^{4}-64 x^{9}+96 x^{8}+32 x^{7}-192 x^{6}+288 x^{5}-128 x^{4}-128 x^{3}+96 x^{2}\right) {\mathrm e}^{\frac{\left(x^{2} {\mathrm e}^{8}+\left(-2 x^{3}+2 x \right) {\mathrm e}^{4}+x^{4}-2 x^{2}+1\right) {\mathrm e}^{2 x}+\left(8 x^{2} {\mathrm e}^{8}+\left(-8 x^{5}+8 x^{4}-16 x^{3}+16 x \right) {\mathrm e}^{4}+8 x^{6}-8 x^{5}+8 x^{3}-16 x^{2}+8\right) {\mathrm e}^{x}+17 x^{2} {\mathrm e}^{8}+\left(-32 x^{5}+32 x^{4}-34 x^{3}+34 x \right) {\mathrm e}^{4}+16 x^{8}-32 x^{7}+48 x^{6}-32 x^{5}-15 x^{4}+32 x^{3}-34 x^{2}+17}{x^{2} {\mathrm e}^{8}+\left(-2 x^{3}+2 x \right) {\mathrm e}^{4}+x^{4}-2 x^{2}+1}}}{{\mathrm e}^{12} x^{3}+\left(-3 x^{4}+3 x^{2}\right) {\mathrm e}^{8}+\left(3 x^{5}-6 x^{3}+3 x \right) {\mathrm e}^{4}-x^{6}+3 x^{4}-3 x^{2}+1}\, dx\]"," ",0,"int(((2*x^3*exp(4)^3+(-6*x^4+6*x^2)*exp(4)^2+(6*x^5-12*x^3+6*x)*exp(4)-2*x^6+6*x^4-6*x^2+2)*exp(x)^2+(8*x^3*exp(4)^3+(-8*x^6-16*x^5-8*x^4+24*x^2)*exp(4)^2+(16*x^7+24*x^6-16*x^5-40*x^4-8*x^3+24*x)*exp(4)-8*x^8-8*x^7+16*x^6+32*x^5-16*x^4-24*x^3+8)*exp(x)+(-96*x^5+64*x^4)*exp(4)^2+(96*x^8-160*x^7+224*x^6-96*x^5-224*x^4+160*x^3)*exp(4)-64*x^9+96*x^8+32*x^7-192*x^6+288*x^5-128*x^4-128*x^3+96*x^2)*exp(((x^2*exp(4)^2+(-2*x^3+2*x)*exp(4)+x^4-2*x^2+1)*exp(x)^2+(8*x^2*exp(4)^2+(-8*x^5+8*x^4-16*x^3+16*x)*exp(4)+8*x^6-8*x^5+8*x^3-16*x^2+8)*exp(x)+17*x^2*exp(4)^2+(-32*x^5+32*x^4-34*x^3+34*x)*exp(4)+16*x^8-32*x^7+48*x^6-32*x^5-15*x^4+32*x^3-34*x^2+17)/(x^2*exp(4)^2+(-2*x^3+2*x)*exp(4)+x^4-2*x^2+1))/(x^3*exp(4)^3+(-3*x^4+3*x^2)*exp(4)^2+(3*x^5-6*x^3+3*x)*exp(4)-x^6+3*x^4-3*x^2+1),x)","F"
4459,1,68,20,0.242000," ","int((((-15*exp(3)+30*x)*ln(-5/(exp(3)-2*x))+30*x)*ln(x)+(15*exp(3)-30*x)*ln(-5/(exp(3)-2*x)))/(4*x^2*exp(3)-8*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{15 \ln \left(x \right) \ln \left({\mathrm e}^{3}-2 x \right)}{4 x}+\frac{15 \left(-2 i \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-2 x}\right)^{2}+2 i \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3}-2 x}\right)^{3}+2 i \pi +2 \ln \left(5\right)\right) \ln \left(x \right)}{8 x}$&$68$\\ \hline \end{longtable}"," ",0,"-15/4/x*ln(x)*ln(exp(3)-2*x)+15/8*(-2*I*Pi*csgn(I/(exp(3)-2*x))^2+2*I*Pi*csgn(I/(exp(3)-2*x))^3+2*I*Pi+2*ln(5))/x*ln(x)","C"
4460,1,18,19,0.030000," ","int((3*ln(x)-3)*ln(-ln(10*ln(2)+1))/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 \ln \left(-\ln \left(10 \ln \left(2\right)+1\right)\right) x}{\ln \left(x \right)}$&$18$\\ risch&$\frac{3 \left(\ln \left(\ln \left(10 \ln \left(2\right)+1\right)\right)+i \pi \right) x}{\ln \left(x \right)}$&$21$\\ norman&$\frac{\left(3 \ln \left(\ln \left(10 \ln \left(2\right)+1\right)\right)+3 i \pi \right) x}{\ln \left(x \right)}$&$22$\\ \hline \end{longtable}"," ",0,"3*ln(-ln(10*ln(2)+1))*x/ln(x)","A"
4461,1,36,27,0.163000," ","int((((60*x^3-240*x^2+75*x+375)*exp(x)*ln(x)^2-60*x*exp(x)*ln(x)+(-24*x^2+60*x)*exp(x))*exp(4*x/(10*x-25)/ln(x))+(-20*x^3+80*x^2-25*x-125)*exp(x)*ln(x)^2)*exp(3*x*exp(x)*exp(4*x/(10*x-25)/ln(x))-exp(x)*x)/(20*x^2-100*x+125)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-x \left({\mathrm e}^{x}-3 \,{\mathrm e}^{\frac{x \left(10 x \ln \left(x \right)-25 \ln \left(x \right)+4\right)}{5 \left(2 x -5\right) \ln \left(x \right)}}\right)}$&$36$\\ \hline \end{longtable}"," ",0,"exp(-x*(exp(x)-3*exp(1/5*x*(10*x*ln(x)-25*ln(x)+4)/(2*x-5)/ln(x))))","A"
4462,1,41,20,0.092000," ","int(1/8*((-225*x+16)*exp(225/16*x)^2+(225*x^3-2250*x+320)*exp(225/16*x)-16*x^4+8*x^3+1600)*exp((-exp(225/16*x)^2+(2*x^2-20)*exp(225/16*x)-x^4+x^3+20*x^2-100)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{-{\mathrm e}^{\frac{225 x}{8}}+\left(2 x^{2}-20\right) {\mathrm e}^{\frac{225 x}{16}}-x^{4}+x^{3}+20 x^{2}-100}{x^{2}}}$&$41$\\ risch&${\mathrm e}^{-\frac{x^{4}-2 \,{\mathrm e}^{\frac{225 x}{16}} x^{2}-x^{3}-20 x^{2}+20 \,{\mathrm e}^{\frac{225 x}{16}}+{\mathrm e}^{\frac{225 x}{8}}+100}{x^{2}}}$&$41$\\ \hline \end{longtable}"," ",0,"exp((-exp(225/16*x)^2+(2*x^2-20)*exp(225/16*x)-x^4+x^3+20*x^2-100)/x^2)","A"
4463,1,20,17,0.125000," ","int(((x^6+8*x^5+28*x^4+58*x^3+76*x^2+60*x+25)*exp(x)+x^6+8*x^5+28*x^4+58*x^3+73*x^2+52*x+19)/(x^6+8*x^5+28*x^4+58*x^3+76*x^2+60*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{1}{x^{3}+4 x^{2}+6 x +5}+{\mathrm e}^{x}$&$20$\\ norman&$\frac{x^{4}-19 x -10 x^{2}+{\mathrm e}^{x} x^{3}+6 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{x} x^{2}+5 \,{\mathrm e}^{x}-19}{x^{3}+4 x^{2}+6 x +5}$&$52$\\ default&$x +{\mathrm e}^{x}-\frac{\frac{936}{83} x^{2}+\frac{1403}{83} x +\frac{1840}{83}}{x^{3}+4 x^{2}+6 x +5}-\frac{\left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}+4 \textit{\_Z}^{2}+6 \textit{\_Z} +5\right)}{\sum}\frac{\left(272 \textit{\_R1}^{2}+799 \textit{\_R1} +620\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, \textit{\_R1} -x \right)}{3 \textit{\_R1}^{2}+8 \textit{\_R1} +6}\right)}{83}+\frac{60 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}+4 \textit{\_Z}^{2}+6 \textit{\_Z} +5\right)}{\sum}\frac{\left(21 \textit{\_R1}^{2}+15 \textit{\_R1} +32\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, \textit{\_R1} -x \right)}{3 \textit{\_R1}^{2}+8 \textit{\_R1} +6}\right)}{83}-\frac{28 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}+4 \textit{\_Z}^{2}+6 \textit{\_Z} +5\right)}{\sum}\frac{\left(161 \textit{\_R1}^{2}+198 \textit{\_R1} +190\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, \textit{\_R1} -x \right)}{3 \textit{\_R1}^{2}+8 \textit{\_R1} +6}\right)}{83}-\frac{76 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}+4 \textit{\_Z}^{2}+6 \textit{\_Z} +5\right)}{\sum}\frac{\left(48 \textit{\_R1}^{2}+58 \textit{\_R1} +85\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, \textit{\_R1} -x \right)}{3 \textit{\_R1}^{2}+8 \textit{\_R1} +6}\right)}{83}+\frac{40 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}+4 \textit{\_Z}^{2}+6 \textit{\_Z} +5\right)}{\sum}\frac{\left(57 \textit{\_R1}^{2}+100 \textit{\_R1} +75\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, \textit{\_R1} -x \right)}{3 \textit{\_R1}^{2}+8 \textit{\_R1} +6}\right)}{83}+\frac{58 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}+4 \textit{\_Z}^{2}+6 \textit{\_Z} +5\right)}{\sum}\frac{\left(86 \textit{\_R1}^{2}+97 \textit{\_R1} +135\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, \textit{\_R1} -x \right)}{3 \textit{\_R1}^{2}+8 \textit{\_R1} +6}\right)}{83}+\frac{168 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+4 \textit{\_Z}^{2}+6 \textit{\_Z} +5\right)}{\sum}\frac{\left(-13 \textit{\_R} -40\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}+8 \textit{\_R} +6}\right)}{83}-\frac{25 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}+4 \textit{\_Z}^{2}+6 \textit{\_Z} +5\right)}{\sum}\frac{\left(4 \textit{\_R1}^{2}-9 \textit{\_R1} +14\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, \textit{\_R1} -x \right)}{3 \textit{\_R1}^{2}+8 \textit{\_R1} +6}\right)}{83}+\frac{58 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+4 \textit{\_Z}^{2}+6 \textit{\_Z} +5\right)}{\sum}\frac{\left(86 \textit{\_R} +105\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}+8 \textit{\_R} +6}\right)}{83}+\frac{292 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+4 \textit{\_Z}^{2}+6 \textit{\_Z} +5\right)}{\sum}\frac{\left(-12 \textit{\_R} -5\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}+8 \textit{\_R} +6}\right)}{83}-\frac{4 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+4 \textit{\_Z}^{2}+6 \textit{\_Z} +5\right)}{\sum}\frac{\left(166 \textit{\_R}^{2}+151 \textit{\_R} +305\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}+8 \textit{\_R} +6}\right)}{83}+\frac{38 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+4 \textit{\_Z}^{2}+6 \textit{\_Z} +5\right)}{\sum}\frac{\left(-2 \textit{\_R} +13\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}+8 \textit{\_R} +6}\right)}{83}+\frac{156 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+4 \textit{\_Z}^{2}+6 \textit{\_Z} +5\right)}{\sum}\frac{\left(7 \textit{\_R} -4\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}+8 \textit{\_R} +6}\right)}{83}+\frac{8 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+4 \textit{\_Z}^{2}+6 \textit{\_Z} +5\right)}{\sum}\frac{\left(83 \textit{\_R}^{2}+36 \textit{\_R} +430\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}+8 \textit{\_R} +6}\right)}{83}-\frac{76 \,{\mathrm e}^{x} \left(48 x^{2}+106 x +105\right)}{83 \left(x^{3}+4 x^{2}+6 x +5\right)}-\frac{25 \,{\mathrm e}^{x} \left(4 x^{2}-5 x -12\right)}{83 \left(x^{3}+4 x^{2}+6 x +5\right)}+\frac{-\frac{76}{83} x^{2}+\frac{95}{83} x +\frac{228}{83}}{x^{3}+4 x^{2}+6 x +5}+\frac{\frac{2944}{83} x^{2}+\frac{4288}{83} x +\frac{6440}{83}}{x^{3}+4 x^{2}+6 x +5}+\frac{\frac{1092}{83} x^{2}+\frac{1872}{83} x +\frac{1040}{83}}{x^{3}+4 x^{2}+6 x +5}+\frac{58 \,{\mathrm e}^{x} \left(86 x^{2}+183 x +240\right)}{83 \left(x^{3}+4 x^{2}+6 x +5\right)}+\frac{8 \,{\mathrm e}^{x} \left(368 x^{2}+536 x +805\right)}{83 \left(x^{3}+4 x^{2}+6 x +5\right)}-\frac{{\mathrm e}^{x} \left(936 x^{2}+1403 x +1840\right)}{83 \left(x^{3}+4 x^{2}+6 x +5\right)}-\frac{28 \,{\mathrm e}^{x} \left(161 x^{2}+276 x +430\right)}{83 \left(x^{3}+4 x^{2}+6 x +5\right)}+\frac{60 \,{\mathrm e}^{x} \left(21 x^{2}+36 x +20\right)}{83 \left(x^{3}+4 x^{2}+6 x +5\right)}+\frac{-\frac{3504}{83} x^{2}-\frac{7738}{83} x -\frac{7665}{83}}{x^{3}+4 x^{2}+6 x +5}+\frac{\frac{4988}{83} x^{2}+\frac{10614}{83} x +\frac{13920}{83}}{x^{3}+4 x^{2}+6 x +5}+\frac{-\frac{4508}{83} x^{2}-\frac{7728}{83} x -\frac{12040}{83}}{x^{3}+4 x^{2}+6 x +5}$&$1065$\\ \hline \end{longtable}"," ",0,"x+1/(x^3+4*x^2+6*x+5)+exp(x)","A"
4464,1,13,19,0.019000," ","int((6*ln(x^3/exp(1)^2)+2+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -10 \ln \left(x \right)+\ln \left(x^{3}\right)^{2}$&$13$\\ risch&$x +\ln \left(x^{3} {\mathrm e}^{-2}\right)^{2}+2 \ln \left(x \right)$&$16$\\ norman&$x +\ln \left(x^{3} {\mathrm e}^{-2}\right)^{2}+2 \ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"x-10*ln(x)+ln(x^3)^2","A"
4465,1,14,13,0.061000," ","int((-2*ln(x)*ln(ln(x)/x)+1-ln(x))/x/ln(x)/ln(ln(x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 \ln \left(x \right)+\ln \left(\ln \left(\frac{\ln \left(x \right)}{x}\right)\right)$&$14$\\ risch&$-2 \ln \left(x \right)+\ln \left(\ln \left(\ln \left(x \right)\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}-2 i \ln \left(x \right)\right)}{2}\right)$&$98$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+ln(ln(ln(x)/x))","A"
4466,1,19,19,0.041000," ","int(((2*x*ln(x)+10*x+1)*ln(ln(2))+2*x^2+x)/((x*ln(x)+5*x)*ln(ln(2))+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 x +\ln \left(\ln \left(x \right) \ln \left(\ln \left(2\right)\right)+5 \ln \left(\ln \left(2\right)\right)+x \right)$&$19$\\ risch&$2 x +\ln \left(\ln \left(x \right)+\frac{5 \ln \left(\ln \left(2\right)\right)+x}{\ln \left(\ln \left(2\right)\right)}\right)$&$22$\\ \hline \end{longtable}"," ",0,"2*x+ln(ln(x)*ln(ln(2))+5*ln(ln(2))+x)","A"
4467,1,30,37,0.031000," ","int(((5*exp(4)*exp(ln(5)+3)+250*x*exp(4))*ln(x)^3-500*x*exp(4)*ln(x)^2+500*x*exp(4)*ln(x)-250*x*exp(4))/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 \,{\mathrm e}^{4} x \left({\mathrm e}^{3}+5 x \right)-\frac{125 x^{2} {\mathrm e}^{4} \left(2 \ln \left(x \right)-1\right)}{\ln \left(x \right)^{2}}$&$30$\\ norman&$\frac{125 x^{2} {\mathrm e}^{4}-250 x^{2} {\mathrm e}^{4} \ln \left(x \right)+125 x^{2} {\mathrm e}^{4} \ln \left(x \right)^{2}+25 \,{\mathrm e}^{3} {\mathrm e}^{4} x \ln \left(x \right)^{2}}{\ln \left(x \right)^{2}}$&$45$\\ default&$25 \,{\mathrm e}^{3} {\mathrm e}^{4} x +125 x^{2} {\mathrm e}^{4}+500 \,{\mathrm e}^{4} \expIntegralEi \left(1, -2 \ln \left(x \right)\right)+500 \,{\mathrm e}^{4} \left(-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)-250 \,{\mathrm e}^{4} \left(-\frac{x^{2}}{2 \ln \left(x \right)^{2}}-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)$&$79$\\ \hline \end{longtable}"," ",0,"25*exp(4)*x*(exp(3)+5*x)-125*x^2*exp(4)*(2*ln(x)-1)/ln(x)^2","A"
4468,1,22,21,0.185000," ","int((((x^2+x+4)*exp(x^2)-9*x^2-9*x-36)*ln(2/(exp(x^2)-9))+(-2*x^4-2*x^3-8*x^2+2*x+1)*exp(x^2)-18*x-9)/((x^2+x+4)*exp(x^2)-9*x^2-9*x-36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{2}{{\mathrm e}^{x^{2}}-9}\right) x +\ln \left(x^{2}+x +4\right)$&$22$\\ risch&$-\ln \left({\mathrm e}^{x^{2}}-9\right) x +x \ln \left(2\right)+\ln \left(x^{2}+x +4\right)$&$23$\\ default&$x \left(\ln \left(\frac{2}{{\mathrm e}^{x^{2}}-9}\right)+\ln \left({\mathrm e}^{x^{2}}-9\right)\right)-\ln \left({\mathrm e}^{x^{2}}-9\right) x +\ln \left(x^{2}+x +4\right)$&$40$\\ \hline \end{longtable}"," ",0,"ln(2/(exp(x^2)-9))*x+ln(x^2+x+4)","A"
4469,1,32,24,0.116000," ","int(((16*x+12)*ln(3+4*x)+(8*x^3+10*x^2+3*x)*ln(x)^3+(-8*x^2-14*x)*ln(x)+16*x^2+12*x)/(4*x^2+3*x)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \ln \left(3+4 x \right)}{\ln \left(x \right)^{2}}+\frac{x \left(x \ln \left(x \right)^{2}+\ln \left(x \right)^{2}-2\right)}{\ln \left(x \right)^{2}}$&$32$\\ \hline \end{longtable}"," ",0,"-2/ln(x)^2*ln(3+4*x)+x*(x*ln(x)^2+ln(x)^2-2)/ln(x)^2","A"
4470,1,161,22,0.102000," ","int(((-5*x+5)*exp(4)*exp(x)+25*exp(4))/(exp(x)^2+(3*x+10)*exp(x)+2*x^2+15*x+25)/ln((2*exp(x)+2*x+10)/(exp(x)+5+2*x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10 i {\mathrm e}^{4}}{\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+5+x \right)\right) \mathrm{csgn}\left(\frac{i}{\frac{{\mathrm e}^{x}}{2}+\frac{5}{2}+x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+5+x \right)}{\frac{{\mathrm e}^{x}}{2}+\frac{5}{2}+x}\right)-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+5+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+5+x \right)}{\frac{{\mathrm e}^{x}}{2}+\frac{5}{2}+x}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\frac{{\mathrm e}^{x}}{2}+\frac{5}{2}+x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+5+x \right)}{\frac{{\mathrm e}^{x}}{2}+\frac{5}{2}+x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+5+x \right)}{\frac{{\mathrm e}^{x}}{2}+\frac{5}{2}+x}\right)^{3}+2 i \ln \left({\mathrm e}^{x}+5+x \right)-2 i \ln \left(\frac{{\mathrm e}^{x}}{2}+\frac{5}{2}+x \right)}$&$161$\\ \hline \end{longtable}"," ",0,"10*I*exp(4)/(Pi*csgn(I*(exp(x)+5+x))*csgn(I/(1/2*exp(x)+5/2+x))*csgn(I*(exp(x)+5+x)/(1/2*exp(x)+5/2+x))-Pi*csgn(I*(exp(x)+5+x))*csgn(I*(exp(x)+5+x)/(1/2*exp(x)+5/2+x))^2-Pi*csgn(I/(1/2*exp(x)+5/2+x))*csgn(I*(exp(x)+5+x)/(1/2*exp(x)+5/2+x))^2+Pi*csgn(I*(exp(x)+5+x)/(1/2*exp(x)+5/2+x))^3+2*I*ln(exp(x)+5+x)-2*I*ln(1/2*exp(x)+5/2+x))","C"
4471,1,25,24,0.041000," ","int(((4*x^6-40*x^5+96*x^4)*ln(x)+x^6-10*x^5+24*x^4-x^3+7*x^2-4*x-24)*exp(-x^4*ln(x)+x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \left(x^{2}-10 x +24\right) x^{-x^{4}} {\mathrm e}^{x}-x$&$25$\\ \hline \end{longtable}"," ",0,"-x*(x^2-10*x+24)*x^(-x^4)*exp(x)-x","A"
4472,0,0,26,0.031000," ","int(((-2*ln(x)^2+18*ln(x)-16)*ln(-2*ln(x)+16)^3+(-4*x^3*ln(x)+32*x^3)*ln(-2*ln(x)+16)+4*x^3)*ln(((-x-ln(x))*ln(-2*ln(x)+16)^2+x^3)/x/ln(-2*ln(x)+16)^2)/((x*ln(x)^2+(x^2-8*x)*ln(x)-8*x^2)*ln(-2*ln(x)+16)^3+(-x^4*ln(x)+8*x^4)*ln(-2*ln(x)+16)),x)","\[\int \frac{\left(\left(-2 \ln \left(x \right)^{2}+18 \ln \left(x \right)-16\right) \ln \left(-2 \ln \left(x \right)+16\right)^{3}+\left(-4 x^{3} \ln \left(x \right)+32 x^{3}\right) \ln \left(-2 \ln \left(x \right)+16\right)+4 x^{3}\right) \ln \left(\frac{\left(-x -\ln \left(x \right)\right) \ln \left(-2 \ln \left(x \right)+16\right)^{2}+x^{3}}{x \ln \left(-2 \ln \left(x \right)+16\right)^{2}}\right)}{\left(x \ln \left(x \right)^{2}+\left(x^{2}-8 x \right) \ln \left(x \right)-8 x^{2}\right) \ln \left(-2 \ln \left(x \right)+16\right)^{3}+\left(-x^{4} \ln \left(x \right)+8 x^{4}\right) \ln \left(-2 \ln \left(x \right)+16\right)}\, dx\]"," ",0,"int(((-2*ln(x)^2+18*ln(x)-16)*ln(-2*ln(x)+16)^3+(-4*x^3*ln(x)+32*x^3)*ln(-2*ln(x)+16)+4*x^3)*ln(((-x-ln(x))*ln(-2*ln(x)+16)^2+x^3)/x/ln(-2*ln(x)+16)^2)/((x*ln(x)^2+(x^2-8*x)*ln(x)-8*x^2)*ln(-2*ln(x)+16)^3+(-x^4*ln(x)+8*x^4)*ln(-2*ln(x)+16)),x)","F"
4473,1,9,9,0.013000," ","int((2+x)*exp(x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +{\mathrm e}^{x} x +{\mathrm e}^{x}$&$9$\\ norman&$x +{\mathrm e}^{x} x +{\mathrm e}^{x}$&$9$\\ risch&$\left(x +1\right) {\mathrm e}^{x}+x$&$9$\\ \hline \end{longtable}"," ",0,"x+exp(x)*x+exp(x)","A"
4474,1,17,21,0.034000," ","int(-8/((5*ln(2)+4*x+45)*ln(ln(2)+4/5*x+9)*ln(ln(ln(2)+4/5*x+9))*ln(ln(ln(ln(2)+4/5*x+9)))^2+(60*ln(2)+48*x+540)*ln(ln(2)+4/5*x+9)*ln(ln(ln(2)+4/5*x+9))*ln(ln(ln(ln(2)+4/5*x+9)))+(180*ln(2)+144*x+1620)*ln(ln(2)+4/5*x+9)*ln(ln(ln(2)+4/5*x+9))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{\ln \left(\ln \left(\ln \left(\ln \left(2\right)+\frac{4 x}{5}+9\right)\right)\right)+6}$&$17$\\ \hline \end{longtable}"," ",0,"2/(ln(ln(ln(ln(2)+4/5*x+9)))+6)","A"
4475,1,15,25,0.048000," ","int(1/10*((x+1)*exp(1-x)+1)/exp(exp(1-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x +1\right) {\mathrm e}^{-{\mathrm e}^{1-x}}}{10}$&$15$\\ norman&$\left(\frac{x}{10}+\frac{1}{10}\right) {\mathrm e}^{-{\mathrm e}^{1-x}}$&$16$\\ \hline \end{longtable}"," ",0,"1/10*(x+1)*exp(-exp(1-x))","A"
4476,0,0,22,0.051000," ","int(((6*x+6)*exp(4)*ln(x^2+x)^2+(-12*x^2-12*x)*ln(x)*ln(x^2+x)+(24*x^2+12*x)*ln(x))*exp((exp(4)*ln(x^2+x)*ln(ln(x))-2*x)/exp(4)/ln(x^2+x))/(x^2+x)/exp(4)/ln(x)/ln(x^2+x)^2,x)","\[\int \frac{\left(\left(6 x +6\right) {\mathrm e}^{4} \ln \left(x^{2}+x \right)^{2}+\left(-12 x^{2}-12 x \right) \ln \left(x \right) \ln \left(x^{2}+x \right)+\left(24 x^{2}+12 x \right) \ln \left(x \right)\right) {\mathrm e}^{\frac{\left({\mathrm e}^{4} \ln \left(x^{2}+x \right) \ln \left(\ln \left(x \right)\right)-2 x \right) {\mathrm e}^{-4}}{\ln \left(x^{2}+x \right)}} {\mathrm e}^{-4}}{\left(x^{2}+x \right) \ln \left(x \right) \ln \left(x^{2}+x \right)^{2}}\, dx\]"," ",0,"int(((6*x+6)*exp(4)*ln(x^2+x)^2+(-12*x^2-12*x)*ln(x)*ln(x^2+x)+(24*x^2+12*x)*ln(x))*exp((exp(4)*ln(x^2+x)*ln(ln(x))-2*x)/exp(4)/ln(x^2+x))/(x^2+x)/exp(4)/ln(x)/ln(x^2+x)^2,x)","F"
4477,1,21,23,0.072000," ","int(((-4*x+1250)*exp((x*ln(2)+625)/x)+6*x^2)*exp(-2*x^2*exp((x*ln(2)+625)/x)+2*x^3)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{2 x^{2} \left(-2 \,{\mathrm e}^{\frac{625}{x}}+x \right)}$&$21$\\ default&$-x +{\mathrm e}^{-2 x^{2} {\mathrm e}^{\frac{x \ln \left(2\right)+625}{x}}+2 x^{3}}$&$28$\\ norman&$-x +{\mathrm e}^{-2 x^{2} {\mathrm e}^{\frac{x \ln \left(2\right)+625}{x}}+2 x^{3}}$&$28$\\ \hline \end{longtable}"," ",0,"-x+exp(2*x^2*(-2*exp(625/x)+x))","A"
4478,1,20,20,0.053000," ","int(1/5*(-10*ln(x)+5*exp(x)*x^3+2*x^4*exp(3)+10*x^3+5)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\frac{x^{2} {\mathrm e}^{3}}{5}+\frac{\ln \left(x \right)}{x^{2}}+{\mathrm e}^{x}$&$20$\\ risch&$2 x +\frac{x^{2} {\mathrm e}^{3}}{5}+\frac{\ln \left(x \right)}{x^{2}}+{\mathrm e}^{x}$&$20$\\ norman&$\frac{{\mathrm e}^{x} x^{2}+2 x^{3}+\frac{x^{4} {\mathrm e}^{3}}{5}+\ln \left(x \right)}{x^{2}}$&$26$\\ \hline \end{longtable}"," ",0,"2*x+1/5*x^2*exp(3)+ln(x)/x^2+exp(x)","A"
4479,1,15,14,0.058000," ","int(((4*exp(x*exp(exp(x))-x)-4)*ln(exp(x*exp(exp(x))-x)-1)+((4*exp(x)*x^2+4*x)*exp(exp(x))-4*x)*exp(x*exp(exp(x))-x))/(exp(x*exp(exp(x))-x)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(-1+{\mathrm e}^{x \left({\mathrm e}^{{\mathrm e}^{x}}-1\right)}\right) x$&$15$\\ \hline \end{longtable}"," ",0,"4*ln(-1+exp(x*(exp(exp(x))-1)))*x","A"
4480,1,979,26,0.294000," ","int((((50*x^3+475*x^2+1225*x+500)*ln(5+x)^2+(2*x^4+11*x^3+5*x^2)*ln(x)*ln(5+x))*ln(1/25*((25*x+100)*ln(5+x)+x^2*ln(x))/x/ln(5+x))+(-100*x^2-600*x-500)*ln(5+x)^2+((x^4+6*x^3+5*x^2)*ln(x)+x^4+6*x^3+5*x^2)*ln(5+x)+(-x^4-x^3)*ln(x))/((25*x^2+225*x+500)*ln(5+x)^2+(x^3+5*x^2)*ln(x)*ln(5+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} \ln \left(x \right)-2 x^{2} \ln \left(5\right)-2 x \ln \left(5\right)-x \ln \left(x \right)-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{x \ln \left(5+x \right)}\right)^{3}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{\ln \left(5+x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{x \ln \left(5+x \right)}\right)}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{x \ln \left(5+x \right)}\right)^{3}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{x \ln \left(5+x \right)}\right)^{2}}{2}+\left(x^{2}+x \right) \ln \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)-x^{2} \ln \left(\ln \left(5+x \right)\right)-x \ln \left(\ln \left(5+x \right)\right)+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{\ln \left(5+x \right)}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{x \ln \left(5+x \right)}\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(5+x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{\ln \left(5+x \right)}\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{\ln \left(5+x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{x \ln \left(5+x \right)}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{\ln \left(5+x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{x \ln \left(5+x \right)}\right)^{2}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{\ln \left(5+x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{x \ln \left(5+x \right)}\right)}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(5+x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{\ln \left(5+x \right)}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{\ln \left(5+x \right)}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{\ln \left(5+x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{\ln \left(5+x \right)}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(5+x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{\ln \left(5+x \right)}\right)}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{\ln \left(5+x \right)}\right)^{3}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)+25 x \ln \left(5+x \right)+100 \ln \left(5+x \right)\right)}{\ln \left(5+x \right)}\right)^{3}}{2}$&$979$\\ \hline \end{longtable}"," ",0,"-x^2*ln(x)-2*x^2*ln(5)-2*x*ln(5)-x*ln(x)-1/2*I*Pi*x*csgn(I/x/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))^3-1/2*I*Pi*x*csgn(I/x)*csgn(I/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))*csgn(I/x/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))-1/2*I*Pi*x^2*csgn(I/x/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))^3+1/2*I*Pi*x^2*csgn(I/x)*csgn(I/x/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))^2+(x^2+x)*ln(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x))-x^2*ln(ln(5+x))-x*ln(ln(5+x))+1/2*I*Pi*x^2*csgn(I*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))*csgn(I/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))^2+1/2*I*Pi*x*csgn(I/x)*csgn(I/x/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))^2+1/2*I*Pi*x^2*csgn(I/ln(5+x))*csgn(I/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))^2+1/2*I*Pi*x^2*csgn(I/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))*csgn(I/x/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))^2+1/2*I*Pi*x*csgn(I/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))*csgn(I/x/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))^2-1/2*I*Pi*x^2*csgn(I/x)*csgn(I/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))*csgn(I/x/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))-1/2*I*Pi*x^2*csgn(I*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))*csgn(I/ln(5+x))*csgn(I/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))+1/2*I*Pi*x*csgn(I*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))*csgn(I/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))^2+1/2*I*Pi*x*csgn(I/ln(5+x))*csgn(I/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))^2-1/2*I*Pi*x*csgn(I*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))*csgn(I/ln(5+x))*csgn(I/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))-1/2*I*Pi*x*csgn(I/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))^3-1/2*I*Pi*x^2*csgn(I/ln(5+x)*(x^2*ln(x)+25*x*ln(5+x)+100*ln(5+x)))^3","C"
4481,1,30,28,0.266000," ","int(((5*x-5)*exp(x)*exp(x^2*exp(4)^2)^2+(-2*x^3*exp(4)^2-x^2+2*x)*exp(x)*exp(x^2*exp(4)^2))/(25*x^2*exp(3)*exp(x^2*exp(4)^2)^2-10*x^3*exp(3)*exp(x^2*exp(4)^2)+x^4*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x -3}}{5 x}-\frac{{\mathrm e}^{x -3}}{5 \left(x -5 \,{\mathrm e}^{x^{2} {\mathrm e}^{8}}\right)}$&$30$\\ norman&$-\frac{{\mathrm e}^{x} {\mathrm e}^{-3} {\mathrm e}^{x^{2} {\mathrm e}^{8}}}{x \left(x -5 \,{\mathrm e}^{x^{2} {\mathrm e}^{8}}\right)}$&$36$\\ \hline \end{longtable}"," ",0,"1/5/x*exp(x-3)-1/5/(x-5*exp(x^2*exp(8)))*exp(x-3)","A"
4482,1,25,29,0.033000," ","int((((-x^2-2*x)*exp(x)+3*x^2)*ln(x)+(x^5-4*x^4-3*x^3+2*x)*exp(x)+3*x^5+3*x^3-2*x^2)/(4*ln(x)^3+(-12*x^3+36*x)*ln(x)^2+(12*x^6-72*x^4+108*x^2)*ln(x)-4*x^9+36*x^7-108*x^5+108*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x -{\mathrm e}^{x}\right) x^{2}}{4 \left(x^{3}-3 x -\ln \left(x \right)\right)^{2}}$&$25$\\ \hline \end{longtable}"," ",0,"1/4*(x-exp(x))*x^2/(x^3-3*x-ln(x))^2","A"
4483,1,24,21,0.167000," ","int((30*exp(-x+4)^2-20*exp(-x+4))*exp(6*x+1)/(25*exp(-x+4)^2-40*exp(-x+4)+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{25} {\mathrm e}^{5 x -20}}{5 \,{\mathrm e}^{-x +4}-4}$&$24$\\ risch&$-\frac{625 \,{\mathrm e}^{x +21}}{1024}-\frac{125 \,{\mathrm e}^{17+2 x}}{256}-\frac{25 \,{\mathrm e}^{3 x +13}}{64}-\frac{5 \,{\mathrm e}^{4 x +9}}{16}-\frac{{\mathrm e}^{5 x +5}}{4}+\frac{3125 \,{\mathrm e}^{25}}{1024 \left(5 \,{\mathrm e}^{-x +4}-4\right)}$&$56$\\ default&$\frac{-\frac{15 \,{\mathrm e} \,{\mathrm e}^{8} {\mathrm e}^{5 x}}{8}-\frac{125 \,{\mathrm e} \,{\mathrm e}^{12} {\mathrm e}^{4 x}}{32}-\frac{625 \,{\mathrm e} \,{\mathrm e}^{16} {\mathrm e}^{3 x}}{64}-\frac{9375 \,{\mathrm e}^{20} {\mathrm e} \,{\mathrm e}^{2 x}}{256}+\frac{234375 \,{\mathrm e}^{28} {\mathrm e}}{2048}}{5 \,{\mathrm e}^{4}-4 \,{\mathrm e}^{x}}+\frac{{\mathrm e} \,{\mathrm e}^{4} {\mathrm e}^{6 x}+\frac{15 \,{\mathrm e} \,{\mathrm e}^{8} {\mathrm e}^{5 x}}{8}+\frac{125 \,{\mathrm e} \,{\mathrm e}^{12} {\mathrm e}^{4 x}}{32}+\frac{625 \,{\mathrm e} \,{\mathrm e}^{16} {\mathrm e}^{3 x}}{64}+\frac{9375 \,{\mathrm e}^{20} {\mathrm e} \,{\mathrm e}^{2 x}}{256}-\frac{234375 \,{\mathrm e}^{28} {\mathrm e}}{2048}}{5 \,{\mathrm e}^{4}-4 \,{\mathrm e}^{x}}$&$152$\\ \hline \end{longtable}"," ",0,"exp(25)/exp(-x+4)^5/(5*exp(-x+4)-4)","A"
4484,1,21,22,0.041000," ","int(((-exp(6)*exp(x)-exp(6))*exp(x^2+4)-4*x*ln(2))/exp(6)/exp(x^2+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -{\mathrm e}^{x}+2 \ln \left(2\right) {\mathrm e}^{-x^{2}-10}$&$21$\\ default&${\mathrm e}^{-6} \left(-{\mathrm e}^{6} {\mathrm e}^{x}+2 \,{\mathrm e}^{-4} \ln \left(2\right) {\mathrm e}^{-x^{2}}-x \,{\mathrm e}^{6}\right)$&$32$\\ norman&$\left(-x \,{\mathrm e}^{x^{2}+4}+2 \,{\mathrm e}^{-6} \ln \left(2\right)-{\mathrm e}^{x} {\mathrm e}^{x^{2}+4}\right) {\mathrm e}^{-x^{2}-4}$&$38$\\ \hline \end{longtable}"," ",0,"-x-exp(x)+2*ln(2)*exp(-x^2-10)","A"
4485,1,46,27,0.150000," ","int((((15*x+15)*exp(x-4)-15*x-30)*exp(-exp(x-4)+2+x)+3*exp(5)-6*x-2)*exp((-15*x-15)*exp(-exp(x-4)+2+x)+(3*x+3)*exp(5)-3*x^2-2*x)*exp(exp((-15*x-15)*exp(-exp(x-4)+2+x)+(3*x+3)*exp(5)-3*x^2-2*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{3 x \,{\mathrm e}^{5}-15 \,{\mathrm e}^{-{\mathrm e}^{x -4}+2+x} x -3 x^{2}+3 \,{\mathrm e}^{5}-15 \,{\mathrm e}^{-{\mathrm e}^{x -4}+2+x}-2 x}}$&$46$\\ \hline \end{longtable}"," ",0,"exp(exp(3*x*exp(5)-15*exp(-exp(x-4)+2+x)*x-3*x^2+3*exp(5)-15*exp(-exp(x-4)+2+x)-2*x))","A"
4486,1,35,31,0.161000," ","int(((-x^3-2*x^2)*ln(exp(exp(4))/x)+(2+x)*exp(1)+x^3+6*x^2+13*x+6)/(x^3+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(\frac{{\mathrm e}^{{\mathrm e}^{4}}}{x}\right)+\frac{5 x \ln \left(x \right)-x \ln \left(2+x \right)-{\mathrm e}-3}{x}$&$35$\\ norman&$\frac{-5 x \ln \left(\frac{{\mathrm e}^{{\mathrm e}^{4}}}{x}\right)-x^{2} \ln \left(\frac{{\mathrm e}^{{\mathrm e}^{4}}}{x}\right)-3-{\mathrm e}}{x}-\ln \left(2+x \right)$&$42$\\ derivativedivides&$-{\mathrm e}^{{\mathrm e}^{4}} \left(\frac{3 \,{\mathrm e}^{-{\mathrm e}^{4}}}{x}+\frac{{\mathrm e}^{-{\mathrm e}^{4}} {\mathrm e}}{x}+4 \left({\mathrm e}^{-2 \,{\mathrm e}^{4}}\right)^{2} {\mathrm e}^{3 \,{\mathrm e}^{4}} \ln \left(\frac{{\mathrm e}^{{\mathrm e}^{4}}}{x}\right)-{\mathrm e}^{-3 \,{\mathrm e}^{4}} {\mathrm e}^{4 \,{\mathrm e}^{4}} {\mathrm e}^{-2 \,{\mathrm e}^{4}} x +5 \,{\mathrm e}^{-{\mathrm e}^{4}} \ln \left({\mathrm e}^{{\mathrm e}^{4}}+\frac{2 \,{\mathrm e}^{{\mathrm e}^{4}}}{x}\right)-6 \,{\mathrm e}^{-3 \,{\mathrm e}^{4}} \ln \left({\mathrm e}^{{\mathrm e}^{4}}+\frac{2 \,{\mathrm e}^{{\mathrm e}^{4}}}{x}\right) {\mathrm e}^{2 \,{\mathrm e}^{4}}+2 \,{\mathrm e}^{-4 \,{\mathrm e}^{4}} \ln \left({\mathrm e}^{{\mathrm e}^{4}}+\frac{2 \,{\mathrm e}^{{\mathrm e}^{4}}}{x}\right) {\mathrm e}^{3 \,{\mathrm e}^{4}}+x \,{\mathrm e}^{-{\mathrm e}^{4}} \ln \left(\frac{{\mathrm e}^{{\mathrm e}^{4}}}{x}\right)+x \,{\mathrm e}^{-{\mathrm e}^{4}}\right)$&$163$\\ default&$-{\mathrm e}^{{\mathrm e}^{4}} \left(\frac{3 \,{\mathrm e}^{-{\mathrm e}^{4}}}{x}+\frac{{\mathrm e}^{-{\mathrm e}^{4}} {\mathrm e}}{x}+4 \left({\mathrm e}^{-2 \,{\mathrm e}^{4}}\right)^{2} {\mathrm e}^{3 \,{\mathrm e}^{4}} \ln \left(\frac{{\mathrm e}^{{\mathrm e}^{4}}}{x}\right)-{\mathrm e}^{-3 \,{\mathrm e}^{4}} {\mathrm e}^{4 \,{\mathrm e}^{4}} {\mathrm e}^{-2 \,{\mathrm e}^{4}} x +5 \,{\mathrm e}^{-{\mathrm e}^{4}} \ln \left({\mathrm e}^{{\mathrm e}^{4}}+\frac{2 \,{\mathrm e}^{{\mathrm e}^{4}}}{x}\right)-6 \,{\mathrm e}^{-3 \,{\mathrm e}^{4}} \ln \left({\mathrm e}^{{\mathrm e}^{4}}+\frac{2 \,{\mathrm e}^{{\mathrm e}^{4}}}{x}\right) {\mathrm e}^{2 \,{\mathrm e}^{4}}+2 \,{\mathrm e}^{-4 \,{\mathrm e}^{4}} \ln \left({\mathrm e}^{{\mathrm e}^{4}}+\frac{2 \,{\mathrm e}^{{\mathrm e}^{4}}}{x}\right) {\mathrm e}^{3 \,{\mathrm e}^{4}}+x \,{\mathrm e}^{-{\mathrm e}^{4}} \ln \left(\frac{{\mathrm e}^{{\mathrm e}^{4}}}{x}\right)+x \,{\mathrm e}^{-{\mathrm e}^{4}}\right)$&$163$\\ \hline \end{longtable}"," ",0,"-x*ln(exp(exp(4))/x)+(5*x*ln(x)-x*ln(2+x)-exp(1)-3)/x","A"
4487,1,23,22,0.208000," ","int(((6*x-1)*exp(2)*exp(-2*exp(4)+6*x+3)+exp(2)*ln(2))/(exp(-2*exp(4)+6*x+3)^2+(-2*ln(2)-2*x)*exp(-2*exp(4)+6*x+3)+ln(2)^2+2*x*ln(2)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{2}}{x +\ln \left(2\right)-{\mathrm e}^{-2 \,{\mathrm e}^{4}+6 x +3}}$&$23$\\ norman&$\frac{{\mathrm e}^{2} {\mathrm e}^{-2 \,{\mathrm e}^{4}+6 x +3}-{\mathrm e}^{2} \ln \left(2\right)}{x +\ln \left(2\right)-{\mathrm e}^{-2 \,{\mathrm e}^{4}+6 x +3}}$&$40$\\ \hline \end{longtable}"," ",0,"x*exp(2)/(x+ln(2)-exp(-2*exp(4)+6*x+3))","A"
4488,1,25,19,0.094000," ","int((x*ln(1/5*x*ln(5)^2-4/5*x*ln(5)+3/5*x)+x+1)*exp(x*ln(1/5*x*ln(5)^2-4/5*x*ln(5)+3/5*x))-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\left(\frac{x \ln \left(5\right)^{2}}{5}-\frac{4 x \ln \left(5\right)}{5}+\frac{3 x}{5}\right)^{x} x$&$25$\\ default&$-x +{\mathrm e}^{x \ln \left(\frac{x \ln \left(5\right)^{2}}{5}-\frac{4 x \ln \left(5\right)}{5}+\frac{3 x}{5}\right)} x$&$27$\\ norman&$-x +{\mathrm e}^{x \ln \left(\frac{x \ln \left(5\right)^{2}}{5}-\frac{4 x \ln \left(5\right)}{5}+\frac{3 x}{5}\right)} x$&$27$\\ \hline \end{longtable}"," ",0,"-x+(1/5*x*ln(5)^2-4/5*x*ln(5)+3/5*x)^x*x","A"
4489,1,31,27,0.111000," ","int((((162*x^2-54)*ln(x)^2+(-162*x^2+54)*ln(x)-18*x^6+60*x^4-18*x^2)*exp((9*ln(x)^2-6*x^2*ln(x)+x^4)/x^2)+9*x^4+3*x^2)*exp(exp((9*ln(x)^2-6*x^2*ln(x)+x^4)/x^2))/(9*x^6-6*x^4+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 x \,{\mathrm e}^{{\mathrm e}^{\frac{\left(-x^{2}+3 \ln \left(x \right)\right)^{2}}{x^{2}}}}}{3 x^{2}-1}$&$31$\\ \hline \end{longtable}"," ",0,"-3*x/(3*x^2-1)*exp(exp((-x^2+3*ln(x))^2/x^2))","A"
4490,1,16,17,0.016000," ","int((3*exp(4/5)-2)/(3*exp(4/5)+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(3 \,{\mathrm e}^{\frac{4}{5}}-2\right) x}{3 \,{\mathrm e}^{\frac{4}{5}}+3}$&$16$\\ default&$\frac{\left(3 \,{\mathrm e}^{\frac{4}{5}}-2\right) x}{3 \,{\mathrm e}^{\frac{4}{5}}+3}$&$17$\\ risch&$\frac{3 x \,{\mathrm e}^{\frac{4}{5}}}{3 \,{\mathrm e}^{\frac{4}{5}}+3}-\frac{2 x}{3 \,{\mathrm e}^{\frac{4}{5}}+3}$&$26$\\ \hline \end{longtable}"," ",0,"1/3*(3*exp(4/5)-2)/(exp(4/5)+1)*x","A"
4491,1,32,26,0.068000," ","int((x^2*ln(ln(3))-exp(3)+3*x^4-16*x^3-x^2)/(x^3*ln(ln(3))+x*exp(3)+x^5-8*x^4-x^3-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(-x \right)+\ln \left(x^{4}-8 x^{3}+\left(\ln \left(\ln \left(3\right)\right)-1\right) x^{2}-x +{\mathrm e}^{3}\right)$&$32$\\ default&$-\ln \left(x \right)+\ln \left(x^{4}+x^{2} \ln \left(\ln \left(3\right)\right)-8 x^{3}-x^{2}+{\mathrm e}^{3}-x \right)$&$33$\\ norman&$-\ln \left(x \right)+\ln \left(x^{4}+x^{2} \ln \left(\ln \left(3\right)\right)-8 x^{3}-x^{2}+{\mathrm e}^{3}-x \right)$&$33$\\ \hline \end{longtable}"," ",0,"-ln(-x)+ln(x^4-8*x^3+(ln(ln(3))-1)*x^2-x+exp(3))","A"
4492,1,13,13,0.055000," ","int(2*ln(2*x*exp(exp(10))+1/120*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\left(2 \,{\mathrm e}^{{\mathrm e}^{10}}+\frac{1}{120}\right) x \right)^{2}$&$13$\\ default&$\ln \left(\left(2 \,{\mathrm e}^{{\mathrm e}^{10}}+\frac{1}{120}\right) x \right)^{2}$&$13$\\ norman&$\ln \left(2 x \,{\mathrm e}^{{\mathrm e}^{10}}+\frac{x}{120}\right)^{2}$&$14$\\ risch&$\ln \left(2 x \,{\mathrm e}^{{\mathrm e}^{10}}+\frac{x}{120}\right)^{2}$&$14$\\ \hline \end{longtable}"," ",0,"ln((2*exp(exp(10))+1/120)*x)^2","A"
4493,1,11,13,0.018000," ","int(1/5*(-4*exp(x)*x-5*x+5)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-x -\frac{4 \,{\mathrm e}^{x}}{5}$&$11$\\ norman&$\ln \left(x \right)-x -\frac{4 \,{\mathrm e}^{x}}{5}$&$11$\\ risch&$\ln \left(x \right)-x -\frac{4 \,{\mathrm e}^{x}}{5}$&$11$\\ \hline \end{longtable}"," ",0,"ln(x)-x-4/5*exp(x)","A"
4494,1,8,18,0.009000," ","int(3*x^2+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left(x +1\right) x^{2}$&$8$\\ default&$x^{3}+x^{2}$&$8$\\ norman&$x^{3}+x^{2}$&$8$\\ risch&$x^{3}+x^{2}$&$8$\\ \hline \end{longtable}"," ",0,"(x+1)*x^2","A"
4495,1,27,35,0.142000," ","int(((-2*x^2-x)*ln(x/(6*x+3))+2-x)/(2*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(\frac{x}{6 x +3}\right)-x \ln \left(\frac{x}{6 x +3}\right)$&$27$\\ risch&$-x \ln \left(\frac{x}{6 x +3}\right)+2 \ln \left(x \right)-2 \ln \left(2 x +1\right)$&$27$\\ derivativedivides&$-3 \ln \left(\frac{1}{6}-\frac{1}{6 \left(2 x +1\right)}\right) \left(\frac{1}{6}-\frac{1}{6 \left(2 x +1\right)}\right) \left(2 x +1\right)+2 \ln \left(\frac{1}{6}-\frac{1}{6 \left(2 x +1\right)}\right)$&$46$\\ default&$-3 \ln \left(\frac{1}{6}-\frac{1}{6 \left(2 x +1\right)}\right) \left(\frac{1}{6}-\frac{1}{6 \left(2 x +1\right)}\right) \left(2 x +1\right)+2 \ln \left(\frac{1}{6}-\frac{1}{6 \left(2 x +1\right)}\right)$&$46$\\ \hline \end{longtable}"," ",0,"2*ln(x/(6*x+3))-x*ln(x/(6*x+3))","A"
4496,1,13,13,0.141000," ","int(((2+x)*ln(2+x)-5*x-8)/(400*x^3+800*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{1}{100}-\frac{\ln \left(2+x \right)}{400}}{x}$&$13$\\ risch&$-\frac{\ln \left(2+x \right)}{400 x}+\frac{1}{100 x}$&$16$\\ derivativedivides&$-\frac{\ln \left(2+x \right) \left(2+x \right)}{800 x}+\frac{\ln \left(2+x \right)}{800}+\frac{1}{100 x}$&$25$\\ default&$-\frac{\ln \left(2+x \right) \left(2+x \right)}{800 x}+\frac{\ln \left(2+x \right)}{800}+\frac{1}{100 x}$&$25$\\ \hline \end{longtable}"," ",0,"(1/100-1/400*ln(2+x))/x","A"
4497,1,21,26,0.323000," ","int(((3*x^2-6*x-15)*exp(x-4)-12*x^2+42*x+30)*exp(-2*ln(2/(x-5))+2*x)/((x-5)*exp(x-4)^2+(-4*x+20)*exp(x-4)+4*x-20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x \left(x -5\right)^{2} {\mathrm e}^{2 x}}{4 \left({\mathrm e}^{x -4}-2\right)}$&$21$\\ norman&$\frac{\frac{75 x \,{\mathrm e}^{8} {\mathrm e}^{2 x -8}}{4}-\frac{15 x^{2} {\mathrm e}^{8} {\mathrm e}^{2 x -8}}{2}+\frac{3 \,{\mathrm e}^{8} x^{3} {\mathrm e}^{2 x -8}}{4}}{{\mathrm e}^{x -4}-2}$&$48$\\ default&$\frac{\frac{75 x \,{\mathrm e}^{8} {\mathrm e}^{2 x -8}}{4}-\frac{15 x^{2} {\mathrm e}^{8} {\mathrm e}^{2 x -8}}{2}+\frac{3 \,{\mathrm e}^{8} x^{3} {\mathrm e}^{2 x -8}}{4}}{{\mathrm e}^{x -4}-2}$&$96$\\ \hline \end{longtable}"," ",0,"3/4*x/(exp(x-4)-2)*(x-5)^2*exp(2*x)","A"
4498,1,118,35,0.166000," ","int((((-2*x+2)*exp(x)+2*x^2+2)*ln(2*ln(2))+3*exp(x)^2+(-7*x^2+25*x+6)*exp(x)+3*x^4-23*x^3+42*x^2+25*x+3)*exp(((3*exp(x)-3*x^2+12*x+3)*ln((2*ln(2*ln(2))+x)/ln(2*ln(2)))+x)/(3*exp(x)-3*x^2+12*x+3))/((6*exp(x)^2+(-12*x^2+48*x+12)*exp(x)+6*x^4-48*x^3+84*x^2+48*x+6)*ln(2*ln(2))+3*x*exp(x)^2+(-6*x^3+24*x^2+6*x)*exp(x)+3*x^5-24*x^4+42*x^3+24*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-3 \ln \left(\frac{2 \ln \left(2\right)+2 \ln \left(\ln \left(2\right)\right)+x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}\right) x^{2}+3 \,{\mathrm e}^{x} \ln \left(\frac{2 \ln \left(2\right)+2 \ln \left(\ln \left(2\right)\right)+x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}\right)+12 \ln \left(\frac{2 \ln \left(2\right)+2 \ln \left(\ln \left(2\right)\right)+x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}\right) x +3 \ln \left(\frac{2 \ln \left(2\right)+2 \ln \left(\ln \left(2\right)\right)+x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}\right)+x}{3 \,{\mathrm e}^{x}-3 x^{2}+12 x +3}}$&$118$\\ \hline \end{longtable}"," ",0,"exp(1/3*(-3*ln((2*ln(2)+2*ln(ln(2))+x)/(ln(2)+ln(ln(2))))*x^2+3*exp(x)*ln((2*ln(2)+2*ln(ln(2))+x)/(ln(2)+ln(ln(2))))+12*ln((2*ln(2)+2*ln(ln(2))+x)/(ln(2)+ln(ln(2))))*x+3*ln((2*ln(2)+2*ln(ln(2))+x)/(ln(2)+ln(ln(2))))+x)/(-x^2+exp(x)+4*x+1))","B"
4499,1,145,24,0.210000," ","int(((13436928*x^4-10077696*x^3-53747712*x^2-13436928*x)*exp(x)^8+(8957952*x^5+12690432*x^4-55987200*x^3-98537472*x^2-26873856*x)*exp(x)^6+(1990656*x^6+6967296*x^5-9082368*x^4-58910976*x^3-67184640*x^2-20155392*x)*exp(x)^4+(147456*x^7+774144*x^6-340992*x^5-9374976*x^4-21959424*x^3-20155392*x^2-6718464*x)*exp(x)^2-8192*x^7-110592*x^6-595968*x^5-1670400*x^4-2620512*x^3-2239488*x^2-839808*x)/(6561*x^10-131220*x^8+1049760*x^6-4199040*x^4+8398080*x^2-6718464),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\frac{4096}{6561} x^{6}+\frac{4096}{729} x^{5}+\frac{512}{27} x^{4}+\frac{256}{9} x^{3}+16 x^{2}}{x^{8}-16 x^{6}+96 x^{4}-256 x^{2}+256}+\frac{256 x^{2} {\mathrm e}^{8 x}}{\left(x^{2}-4\right)^{4}}+\frac{512 x^{2} \left(4 x +9\right) {\mathrm e}^{6 x}}{9 \left(x^{2}-4\right)^{4}}+\frac{128 x^{2} \left(16 x^{2}+72 x +81\right) {\mathrm e}^{4 x}}{27 \left(x^{2}-4\right)^{4}}+\frac{128 x^{2} \left(64 x^{3}+432 x^{2}+972 x +729\right) {\mathrm e}^{2 x}}{729 \left(x^{2}-4\right)^{4}}$&$145$\\ default&$\frac{364}{243 \left(2+x \right)^{3}}-\frac{1160}{729 \left(2+x \right)^{4}}+\frac{1160}{729 \left(x -2\right)^{4}}+\frac{4096}{6561 \left(x^{2}-4\right)}-\frac{239}{729 \left(2+x \right)^{2}}+\frac{239}{729 \left(x -2\right)^{2}}+\frac{364}{243 \left(x -2\right)^{3}}+\frac{2672704}{6561 \left(x^{2}-4\right)^{4}}+\frac{57856}{2187 \left(x^{2}-4\right)^{2}}+\frac{432304}{2187 \left(x^{2}-4\right)^{3}}+\frac{{\mathrm e}^{8 x}}{4 x -8}+\frac{{\mathrm e}^{6 x}}{2 x -4}-\frac{37 \,{\mathrm e}^{2 x}}{216 \left(x -2\right)}+\frac{1615 \,{\mathrm e}^{2 x}}{2916 \left(x -2\right)^{2}}+\frac{2312 \,{\mathrm e}^{2 x}}{243 \left(x -2\right)^{3}}+\frac{37 \,{\mathrm e}^{2 x}}{216 \left(2+x \right)}+\frac{383 \,{\mathrm e}^{2 x}}{2916 \left(2+x \right)^{2}}+\frac{8 \,{\mathrm e}^{2 x}}{243 \left(2+x \right)^{3}}+\frac{9826 \,{\mathrm e}^{2 x}}{729 \left(x -2\right)^{4}}+\frac{2 \,{\mathrm e}^{2 x}}{729 \left(2+x \right)^{4}}+\frac{136 \,{\mathrm e}^{6 x}}{9 \left(x -2\right)^{4}}+\frac{17 \,{\mathrm e}^{4 x}}{216 \left(x -2\right)}-\frac{161 \,{\mathrm e}^{4 x}}{108 \left(x -2\right)^{2}}+\frac{272 \,{\mathrm e}^{4 x}}{27 \left(x -2\right)^{3}}+\frac{578 \,{\mathrm e}^{4 x}}{27 \left(x -2\right)^{4}}+\frac{2 \,{\mathrm e}^{4 x}}{27 \left(2+x \right)^{4}}-\frac{17 \,{\mathrm e}^{4 x}}{216 \left(2+x \right)}+\frac{127 \,{\mathrm e}^{4 x}}{108 \left(2+x \right)^{2}}+\frac{16 \,{\mathrm e}^{4 x}}{27 \left(2+x \right)^{3}}+\frac{4 \,{\mathrm e}^{8 x}}{\left(x -2\right)^{4}}-\frac{{\mathrm e}^{8 x}}{4 \left(2+x \right)}-\frac{{\mathrm e}^{8 x}}{2 \left(2+x \right)^{2}}-\frac{{\mathrm e}^{8 x}}{2 \left(x -2\right)^{2}}+\frac{4 \,{\mathrm e}^{8 x}}{\left(2+x \right)^{4}}+\frac{8 \,{\mathrm e}^{6 x}}{9 \left(2+x \right)^{4}}-\frac{{\mathrm e}^{6 x}}{2 \left(2+x \right)}-\frac{{\mathrm e}^{6 x}}{9 \left(2+x \right)^{2}}+\frac{32 \,{\mathrm e}^{6 x}}{9 \left(2+x \right)^{3}}-\frac{17 \,{\mathrm e}^{6 x}}{9 \left(x -2\right)^{2}}+\frac{32 \,{\mathrm e}^{6 x}}{9 \left(x -2\right)^{3}}$&$410$\\ \hline \end{longtable}"," ",0,"(4096/6561*x^6+4096/729*x^5+512/27*x^4+256/9*x^3+16*x^2)/(x^8-16*x^6+96*x^4-256*x^2+256)+256*x^2/(x^2-4)^4*exp(8*x)+512/9*x^2*(4*x+9)/(x^2-4)^4*exp(6*x)+128/27*x^2*(16*x^2+72*x+81)/(x^2-4)^4*exp(4*x)+128/729*x^2*(64*x^3+432*x^2+972*x+729)/(x^2-4)^4*exp(2*x)","B"
4500,1,28,21,0.185000," ","int((-ln(x)*ln(1/12*x*ln(x)^2)+((8*x^2+1)*exp(4*x^2)+2*x)*ln(x)-2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \,{\mathrm e}^{4 x^{2}}+x^{2}+\ln \left(12\right) x -\ln \left(x \ln \left(x \right)^{2}\right) x +x$&$28$\\ risch&$-2 x \ln \left(\ln \left(x \right)\right)-x \ln \left(x \right)+\frac{i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3} x}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)^{2}\right)^{2} x}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(i x \ln \left(x \right)^{2}\right)^{2} x}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(i x \ln \left(x \right)^{2}\right) x}{2}+\frac{i \pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) x}{2}-i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2} x +\frac{i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)^{2}\right)^{3} x}{2}+2 x \ln \left(2\right)+x \ln \left(3\right)+x^{2}+x +x \,{\mathrm e}^{4 x^{2}}$&$179$\\ \hline \end{longtable}"," ",0,"x*exp(x^2)^4+x^2+ln(12)*x-ln(x*ln(x)^2)*x+x","A"
4501,1,30,21,0.043000," ","int(((-x^2+6*x-4)*ln(x)-x^2+4*x-4)/(5*x^4-20*x^3+20*x^2)/ln(x)/exp(((x-2)*ln(9*ln(x))+x)/(x-2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{\ln \left(9 \ln \left(x \right)\right) x -2 \ln \left(9 \ln \left(x \right)\right)+x}{x -2}}}{5 x}$&$30$\\ \hline \end{longtable}"," ",0,"1/5/x*exp(-(ln(9*ln(x))*x-2*ln(9*ln(x))+x)/(x-2))","A"
4502,1,19,19,0.038000," ","int(1/5*(5*exp(x)*ln(x)^2*exp(exp(x))-11*ln(x)^2+(-20*x-5)*exp(4*x)*ln(x)+5*exp(4*x))/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{11 x}{5}-\frac{{\mathrm e}^{4 x} x}{\ln \left(x \right)}+{\mathrm e}^{{\mathrm e}^{x}}$&$19$\\ risch&$-\frac{11 x}{5}-\frac{{\mathrm e}^{4 x} x}{\ln \left(x \right)}+{\mathrm e}^{{\mathrm e}^{x}}$&$19$\\ \hline \end{longtable}"," ",0,"-11/5*x-exp(4*x)*x/ln(x)+exp(exp(x))","A"
4503,1,18,21,0.075000," ","int(((12*x-6)*exp(2)*exp(3*x^2-3*x+2)^2-exp(2))*exp(exp(3*x^2-3*x+2)^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2+{\mathrm e}^{6 x^{2}-6 x +4}-x}$&$18$\\ norman&${\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{6 x^{2}-6 x +4}-x}$&$22$\\ \hline \end{longtable}"," ",0,"exp(2+exp(6*x^2-6*x+4)-x)","A"
4504,1,124,24,0.445000," ","int(((4*x^2+16*x+12)*exp(x)*exp(exp(x))+4)*exp(2*exp(exp(x))+ln((2*x+2)/(3+x))+1)^2*exp(exp(2*exp(exp(x))+ln((2*x+2)/(3+x))+1)^2)/(x^2+4*x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{4 \left(x +1\right)^{2} {\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}^{x}}+2-i \pi  \mathrm{csgn}\left(\frac{i \left(x +1\right)}{3+x}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \left(x +1\right)}{3+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{3+x}\right)+i \pi  \mathrm{csgn}\left(\frac{i \left(x +1\right)}{3+x}\right)^{2} \mathrm{csgn}\left(i \left(x +1\right)\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left(x +1\right)}{3+x}\right) \mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(i \left(x +1\right)\right)}}{\left(3+x \right)^{2}}}$&$124$\\ \hline \end{longtable}"," ",0,"exp(4/(3+x)^2*(x+1)^2*exp(4*exp(exp(x))+2-I*Pi*csgn(I/(3+x)*(x+1))^3+I*Pi*csgn(I/(3+x)*(x+1))^2*csgn(I/(3+x))+I*Pi*csgn(I/(3+x)*(x+1))^2*csgn(I*(x+1))-I*Pi*csgn(I/(3+x)*(x+1))*csgn(I/(3+x))*csgn(I*(x+1))))","C"
4505,1,28,25,1.123000," ","int((((16*x-16)*exp(4)-1)*exp(x)*ln(-400/((16*x-16)*exp(4)-1))+(((-16*x+16)*exp(4)+1)*ln(3)+(-16*x+32)*exp(4)+1)*exp(x))/(((16*x-16)*exp(4)-1)*ln(-400/((16*x-16)*exp(4)-1))^2+(((-32*x+32)*exp(4)+2)*ln(3)+(-32*x+32)*exp(4)+2)*ln(-400/((16*x-16)*exp(4)-1))+((16*x-16)*exp(4)-1)*ln(3)^2+((32*x-32)*exp(4)-2)*ln(3)+(16*x-16)*exp(4)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{{\mathrm e}^{x}}{\ln \left(3\right)-\ln \left(-\frac{400}{\left(16 x -16\right) {\mathrm e}^{4}-1}\right)+1}$&$28$\\ norman&$-\frac{{\mathrm e}^{x}}{\ln \left(3\right)-\ln \left(-\frac{400}{\left(16 x -16\right) {\mathrm e}^{4}-1}\right)+1}$&$28$\\ risch&$-\frac{2 i {\mathrm e}^{x}}{-2 \pi  \mathrm{csgn}\left(\frac{i}{-\frac{1}{16}+\left(x -1\right) {\mathrm e}^{4}}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i}{-\frac{1}{16}+\left(x -1\right) {\mathrm e}^{4}}\right)^{3}+2 \pi -4 i \ln \left(5\right)+2 i \ln \left(3\right)+2 i \ln \left(-\frac{1}{16}+\left(x -1\right) {\mathrm e}^{4}\right)+2 i}$&$74$\\ \hline \end{longtable}"," ",0,"-exp(x)/(ln(3)-ln(-400/((16*x-16)*exp(4)-1))+1)","A"
4506,1,20,18,0.068000," ","int(1/2*(5*ln(ln(5))-10)*exp(1/4*(-5*ln(ln(5))-4*x^2+10)/x^2)*exp(exp(1/4*(-5*ln(ln(5))-4*x^2+10)/x^2))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{{\mathrm e}^{\frac{-5 \ln \left(\ln \left(5\right)\right)-4 x^{2}+10}{4 x^{2}}}}$&$20$\\ risch&$\frac{{\mathrm e}^{{\mathrm e}^{-\frac{4 x^{2}+5 \ln \left(\ln \left(5\right)\right)-10}{4 x^{2}}}} \ln \left(\ln \left(5\right)\right)}{\ln \left(\ln \left(5\right)\right)-2}-\frac{2 \,{\mathrm e}^{{\mathrm e}^{-\frac{4 x^{2}+5 \ln \left(\ln \left(5\right)\right)-10}{4 x^{2}}}}}{\ln \left(\ln \left(5\right)\right)-2}$&$60$\\ \hline \end{longtable}"," ",0,"exp(exp(1/4*(-5*ln(ln(5))-4*x^2+10)/x^2))","A"
4507,1,32,25,0.137000," ","int(((2*x^2-8*x)*exp(2)*exp(4/x)^2+(4*x^2-8*x)*exp(2)*exp(4/x)+(2*x^2-1)*exp(2))/x^2/exp(-x^2*exp(4/x)^2-2*x^2*exp(4/x)-x^2+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-4+x^{2} {\mathrm e}^{\frac{8}{x}}+2 x^{2} {\mathrm e}^{\frac{4}{x}}+x^{2}}}{x}$&$32$\\ norman&$\frac{{\mathrm e}^{2} {\mathrm e}^{x^{2} {\mathrm e}^{\frac{8}{x}}+2 x^{2} {\mathrm e}^{\frac{4}{x}}+x^{2}-6}}{x}$&$41$\\ \hline \end{longtable}"," ",0,"1/x*exp(-4+x^2*exp(8/x)+2*x^2*exp(4/x)+x^2)","A"
4508,1,20,20,0.192000," ","int((4*ln(7)^2+2*(2*x-3)*ln(7)+x^2-3*x+3)/(4*ln(7)^2+2*(2*x-3)*ln(7)+x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\ln \left(2 \ln \left(7\right)+x -3\right)-\ln \left(x +2 \ln \left(7\right)\right)$&$20$\\ norman&$x +\ln \left(2 \ln \left(7\right)+x -3\right)-\ln \left(x +2 \ln \left(7\right)\right)$&$20$\\ risch&$x +\ln \left(2 \ln \left(7\right)+x -3\right)-\ln \left(x +2 \ln \left(7\right)\right)$&$20$\\ \hline \end{longtable}"," ",0,"x+ln(2*ln(7)+x-3)-ln(x+2*ln(7))","A"
4509,1,25,22,0.029000," ","int(((-729*x^3+2916*x^2-81*x)*exp(x)*ln(x)+(729*x^3+1458*x^2-5832*x+162)*exp(x))/((729*x^7+243*x^5+27*x^3+x)*ln(x)^3+(-2187*x^7-8748*x^6-486*x^5-1944*x^4-27*x^3-108*x^2)*ln(x)^2+(2187*x^7+17496*x^6+35235*x^5+1944*x^4+3888*x^3)*ln(x)-729*x^7-8748*x^6-34992*x^5-46656*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{81 \,{\mathrm e}^{x}}{\left(9 x^{2} \ln \left(x \right)-9 x^{2}+\ln \left(x \right)-36 x \right)^{2}}$&$25$\\ \hline \end{longtable}"," ",0,"-81*exp(x)/(9*x^2*ln(x)-9*x^2+ln(x)-36*x)^2","A"
4510,1,23,13,0.026000," ","int((-6*x^2-6*x)*exp(x)^2+(x^3-6*x^2-18*x)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 \,{\mathrm e}^{2 x} x^{2}+\left(x^{3}-9 x^{2}\right) {\mathrm e}^{x}$&$23$\\ default&$-3 \,{\mathrm e}^{2 x} x^{2}+{\mathrm e}^{x} x^{3}-9 \,{\mathrm e}^{x} x^{2}$&$24$\\ norman&$-3 \,{\mathrm e}^{2 x} x^{2}+{\mathrm e}^{x} x^{3}-9 \,{\mathrm e}^{x} x^{2}$&$24$\\ meijerg&$-\frac{\left(12 x^{2}-12 x +6\right) {\mathrm e}^{2 x}}{4}+\frac{3 \left(-4 x +2\right) {\mathrm e}^{2 x}}{4}-\frac{\left(-4 x^{3}+12 x^{2}-24 x +24\right) {\mathrm e}^{x}}{4}-2 \left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}+9 \left(-2 x +2\right) {\mathrm e}^{x}$&$71$\\ \hline \end{longtable}"," ",0,"-3*exp(2*x)*x^2+(x^3-9*x^2)*exp(x)","A"
4511,1,25,30,0.045000," ","int(((2*x^2-4*x+2)*ln(5)+(-2*x^3+4*x^2)*exp(1)^2+5*x^3-10*x^2+5*x)/(x^3-2*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \,{\mathrm e}^{2} x +5 x -\frac{2 \,{\mathrm e}^{2}}{x -1}+2 \ln \left(5\right) \ln \left(x \right)$&$25$\\ risch&$-2 \,{\mathrm e}^{2} x +5 x -\frac{2 \,{\mathrm e}^{2}}{x -1}+2 \ln \left(5\right) \ln \left(-x \right)$&$27$\\ norman&$\frac{\left(-2 \,{\mathrm e}^{2}+5\right) x^{2}-5}{x -1}+2 \ln \left(5\right) \ln \left(x \right)$&$28$\\ \hline \end{longtable}"," ",0,"-2*exp(2)*x+5*x-2*exp(2)/(x-1)+2*ln(5)*ln(x)","A"
4512,1,22,13,0.043000," ","int((-4*x^2-5)/(6*x^2*ln(2)-4*x^3+80*x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)+\ln \left(-6 x \ln \left(2\right)+4 x^{2}-80 x -5\right)$&$22$\\ norman&$-\ln \left(x \right)+\ln \left(6 x \ln \left(2\right)-4 x^{2}+80 x +5\right)$&$22$\\ risch&$-\ln \left(-x \right)+\ln \left(-5+4 x^{2}+\left(-6 \ln \left(2\right)-80\right) x \right)$&$24$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(-6*x*ln(2)+4*x^2-80*x-5)","A"
4513,1,17,23,0.019000," ","int((-x^2*ln(x)-8*x-2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -x \ln \left(x \right)-8 \ln \left(x \right)+\frac{2}{x}$&$17$\\ norman&$\frac{2+x^{2}-8 x \ln \left(x \right)-x^{2} \ln \left(x \right)}{x}$&$22$\\ risch&$-x \ln \left(x \right)-\frac{8 x \ln \left(x \right)-x^{2}-2}{x}$&$24$\\ \hline \end{longtable}"," ",0,"x-x*ln(x)-8*ln(x)+2/x","A"
4514,1,18,14,0.027000," ","int(3*x^2*exp(4)-11/3*x^10+4*x^3+3/2*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{4}+\left({\mathrm e}^{4}+\frac{1}{2}\right) x^{3}-\frac{x^{11}}{3}$&$18$\\ gosper&$\frac{x^{3} \left(-2 x^{8}+6 \,{\mathrm e}^{4}+6 x +3\right)}{6}$&$20$\\ default&$x^{3} {\mathrm e}^{4}-\frac{x^{11}}{3}+x^{4}+\frac{x^{3}}{2}$&$21$\\ risch&$x^{3} {\mathrm e}^{4}-\frac{x^{11}}{3}+x^{4}+\frac{x^{3}}{2}$&$21$\\ \hline \end{longtable}"," ",0,"x^4+(exp(4)+1/2)*x^3-1/3*x^11","A"
4515,1,21,22,0.037000," ","int((-48*x^2*ln(x^2)^2+(96*x^2-45)*ln(x^2)-48*x^2+30*x-45)/(5*x^2*ln(x^2)^2-10*x^2*ln(x^2)+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{48 x}{5}-\frac{3 \left(x -3\right)}{x \left(\ln \left(x^{2}\right)-1\right)}$&$21$\\ norman&$\frac{9-3 x +\frac{48 x^{2}}{5}-\frac{48 x^{2} \ln \left(x^{2}\right)}{5}}{x \left(\ln \left(x^{2}\right)-1\right)}$&$32$\\ \hline \end{longtable}"," ",0,"-48/5*x-3*(x-3)/x/(ln(x^2)-1)","A"
4516,1,23,22,0.059000," ","int(((-2*x-6)*exp(1)*ln(x)^2+((8*x+24)*exp(1)-18*x^2)*ln(x)+(-8*x-24)*exp(1)+42*x^2)/(exp(1)*ln(x)^2-4*exp(1)*ln(x)+4*exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-6 x -\frac{6 x^{3} {\mathrm e}^{-1}}{\ln \left(x \right)-2}$&$23$\\ norman&$\frac{12 x +2 x^{2}-6 x \ln \left(x \right)-x^{2} \ln \left(x \right)-6 x^{3} {\mathrm e}^{-1}}{\ln \left(x \right)-2}$&$38$\\ \hline \end{longtable}"," ",0,"-x^2-6*x-6*x^3*exp(-1)/(ln(x)-2)","A"
4517,1,31,23,0.188000," ","int((18*exp(ln(x)^2-4/9*ln(x)+4/81)^4+(-288*ln(x)+136)*exp(ln(x)^2-4/9*ln(x)+4/81)^2+72)*exp(4/(exp(ln(x)^2-4/9*ln(x)+4/81)^2+2))/(9*ln(2)*exp(ln(x)^2-4/9*ln(x)+4/81)^4+36*ln(2)*exp(ln(x)^2-4/9*ln(x)+4/81)^2+36*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x \,{\mathrm e}^{\frac{4 x^{\frac{8}{9}}}{2 x^{\frac{8}{9}}+{\mathrm e}^{2 \ln \left(x \right)^{2}+\frac{8}{81}}}}}{\ln \left(2\right)}$&$31$\\ \hline \end{longtable}"," ",0,"2*x/ln(2)*exp(4*x^(8/9)/(2*x^(8/9)+exp(2*ln(x)^2+8/81)))","A"
4518,1,19,26,0.037000," ","int((-30*ln(x)-5*x^2+56*x+90)/(36*x^2*ln(x)^2+(-60*x^3-288*x^2)*ln(x)+25*x^4+240*x^3+576*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x -5}{x \left(-6 \ln \left(x \right)+24+5 x \right)}$&$19$\\ risch&$\frac{x -5}{x \left(-6 \ln \left(x \right)+24+5 x \right)}$&$19$\\ \hline \end{longtable}"," ",0,"(x-5)/x/(-6*ln(x)+24+5*x)","A"
4519,1,28,25,0.629000," ","int(((2*x^3+7*x^2+2*x)*exp(-ln(2)+exp(4)+x-5)-6*x^2+2*x+1)/((2*x^3+x^2)*exp(-ln(2)+exp(4)+x-5)-2*x^3+x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)+\ln \left(2 x +1\right)+\ln \left(x \,{\mathrm e}^{-\ln \left(2\right)+{\mathrm e}^{4}+x -5}-x +1\right)$&$28$\\ risch&$2 \ln \left(x \right)+\ln \left(2 x +1\right)+\ln \left(2\right)-{\mathrm e}^{4}+5+\ln \left(\frac{{\mathrm e}^{-5+{\mathrm e}^{4}+x}}{2}-\frac{x -1}{x}\right)$&$37$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(2*x+1)+ln(x*exp(-ln(2)+exp(4)+x-5)-x+1)","A"
4520,1,44,30,0.341000," ","int((-16*x^2*exp(1)^8*ln(ln(2*ln(ln(5))))+128*x*exp(1)^8)/(16*x^2*exp(1)^8*ln(ln(2*ln(ln(5))))^2+(-128*x*exp(1)^8+8*x^3*exp(1)^4)*ln(ln(2*ln(ln(5))))+256*exp(1)^8-32*x^2*exp(1)^4+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{16 \left(\ln \left(\ln \left(2 \ln \left(\ln \left(5\right)\right)\right)\right) x -4\right) {\mathrm e}^{8}}{4 \,{\mathrm e}^{4} \ln \left(\ln \left(2 \ln \left(\ln \left(5\right)\right)\right)\right) x -16 \,{\mathrm e}^{4}+x^{2}}$&$44$\\ risch&$\frac{4 x \,{\mathrm e}^{8} \ln \left(\ln \left(2\right)+\ln \left(\ln \left(\ln \left(5\right)\right)\right)\right)-16 \,{\mathrm e}^{8}}{{\mathrm e}^{4} \ln \left(\ln \left(2\right)+\ln \left(\ln \left(\ln \left(5\right)\right)\right)\right) x -4 \,{\mathrm e}^{4}+\frac{x^{2}}{4}}$&$44$\\ norman&$\frac{16 x \,{\mathrm e}^{8} \ln \left(\ln \left(2\right)+\ln \left(\ln \left(\ln \left(5\right)\right)\right)\right)-64 \,{\mathrm e}^{8}}{4 \,{\mathrm e}^{4} \ln \left(\ln \left(2 \ln \left(\ln \left(5\right)\right)\right)\right) x -16 \,{\mathrm e}^{4}+x^{2}}$&$50$\\ default&$-4 \,{\mathrm e}^{8} \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+8 \,{\mathrm e}^{4} \ln \left(\ln \left(2 \ln \left(\ln \left(5\right)\right)\right)\right) \textit{\_Z}^{3}+\left(16 \,{\mathrm e}^{8} \ln \left(\ln \left(2 \ln \left(\ln \left(5\right)\right)\right)\right)^{2}-32 \,{\mathrm e}^{4}\right) \textit{\_Z}^{2}-128 \textit{\_Z} \,{\mathrm e}^{8} \ln \left(\ln \left(2 \ln \left(\ln \left(5\right)\right)\right)\right)+256 \,{\mathrm e}^{8}\right)}{\sum}\frac{\left(\ln \left(\ln \left(2 \ln \left(\ln \left(5\right)\right)\right)\right) \textit{\_R}^{2}-8 \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{8 \textit{\_R} \,{\mathrm e}^{8} \ln \left(\ln \left(2 \ln \left(\ln \left(5\right)\right)\right)\right)^{2}-32 \,{\mathrm e}^{8} \ln \left(\ln \left(2 \ln \left(\ln \left(5\right)\right)\right)\right)+6 \,{\mathrm e}^{4} \ln \left(\ln \left(2 \ln \left(\ln \left(5\right)\right)\right)\right) \textit{\_R}^{2}-16 \textit{\_R} \,{\mathrm e}^{4}+\textit{\_R}^{3}}\right)$&$139$\\ \hline \end{longtable}"," ",0,"16*(ln(ln(2*ln(ln(5))))*x-4)*exp(1)^8/(4*exp(1)^4*ln(ln(2*ln(ln(5))))*x-16*exp(1)^4+x^2)","A"
4521,1,104,31,0.102000," ","int(1/9765625*((100*x^8+20000*x^6-200000000*x^2-10000000000)*exp(4)^8+(50*x^9+12000*x^7+125000*x^6+600000*x^5-40000000*x^3-1250000000*x^2-3000000000*x)*exp(4)^4+6*x^10+1600*x^8+37500*x^7+120000*x^6+2500000*x^5-125000000*x^3-200000000*x^2)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4} {\mathrm e}^{32}}{390625}+\frac{16 \,{\mathrm e}^{32} x^{2}}{15625}+\frac{2 x^{5} {\mathrm e}^{16}}{1953125}+\frac{32 x^{3} {\mathrm e}^{16}}{78125}+\frac{4 x^{2} {\mathrm e}^{16}}{625}+\frac{x^{6}}{9765625}+\frac{192 x \,{\mathrm e}^{16}}{3125}+\frac{16 x^{4}}{390625}+\frac{4 x^{3}}{3125}+\frac{96 x^{2}}{15625}+\frac{32 x}{125}+\frac{\left(40000000 \,{\mathrm e}^{16}+125000000\right) x^{3}+\left(100000000 \,{\mathrm e}^{32}+625000000 \,{\mathrm e}^{16}+100000000\right) x^{2}+1000000000 x \,{\mathrm e}^{16}+2500000000 \,{\mathrm e}^{32}}{9765625 x^{4}}$&$104$\\ default&$\frac{2 x^{5} {\mathrm e}^{16}}{1953125}+\frac{x^{6}}{9765625}+\frac{x^{4} {\mathrm e}^{32}}{390625}+\frac{32 x^{3} {\mathrm e}^{16}}{78125}+\frac{16 x^{4}}{390625}+\frac{16 \,{\mathrm e}^{32} x^{2}}{15625}+\frac{4 x^{2} {\mathrm e}^{16}}{625}+\frac{4 x^{3}}{3125}+\frac{192 x \,{\mathrm e}^{16}}{3125}+\frac{96 x^{2}}{15625}+\frac{32 x}{125}+\frac{512 \,{\mathrm e}^{16}}{5 x^{3}}-\frac{-100000000 \,{\mathrm e}^{32}-625000000 \,{\mathrm e}^{16}-100000000}{9765625 x^{2}}-\frac{2 \left(-20000000 \,{\mathrm e}^{16}-62500000\right)}{9765625 x}+\frac{256 \,{\mathrm e}^{32}}{x^{4}}$&$105$\\ norman&$\frac{\left(\frac{32 \,{\mathrm e}^{16}}{78125}+\frac{4}{3125}\right) x^{7}+\left(\frac{192 \,{\mathrm e}^{16}}{3125}+\frac{32}{125}\right) x^{5}+\left(\frac{512 \,{\mathrm e}^{16}}{125}+\frac{64}{5}\right) x^{3}+\left(\frac{{\mathrm e}^{32}}{390625}+\frac{16}{390625}\right) x^{8}+\left(\frac{16 \,{\mathrm e}^{32}}{15625}+\frac{4 \,{\mathrm e}^{16}}{625}+\frac{96}{15625}\right) x^{6}+\left(\frac{256 \,{\mathrm e}^{32}}{25}+64 \,{\mathrm e}^{16}+\frac{256}{25}\right) x^{2}+\frac{x^{10}}{9765625}+256 \,{\mathrm e}^{32}+\frac{512 x \,{\mathrm e}^{16}}{5}+\frac{2 x^{9} {\mathrm e}^{16}}{1953125}}{x^{4}}$&$117$\\ gosper&$\frac{25 x^{8} {\mathrm e}^{32}+10000 \,{\mathrm e}^{32} x^{6}+10 x^{9} {\mathrm e}^{16}+4000 \,{\mathrm e}^{16} x^{7}+100000000 \,{\mathrm e}^{32} x^{2}+62500 \,{\mathrm e}^{16} x^{6}+x^{10}+600000 x^{5} {\mathrm e}^{16}+2500000000 \,{\mathrm e}^{32}+400 x^{8}+40000000 x^{3} {\mathrm e}^{16}+12500 x^{7}+625000000 x^{2} {\mathrm e}^{16}+60000 x^{6}+1000000000 x \,{\mathrm e}^{16}+2500000 x^{5}+125000000 x^{3}+100000000 x^{2}}{9765625 x^{4}}$&$134$\\ \hline \end{longtable}"," ",0,"1/390625*x^4*exp(32)+16/15625*exp(32)*x^2+2/1953125*x^5*exp(16)+32/78125*x^3*exp(16)+4/625*x^2*exp(16)+1/9765625*x^6+192/3125*x*exp(16)+16/390625*x^4+4/3125*x^3+96/15625*x^2+32/125*x+1/9765625*((40000000*exp(16)+125000000)*x^3+(100000000*exp(32)+625000000*exp(16)+100000000)*x^2+1000000000*x*exp(16)+2500000000*exp(32))/x^4","B"
4522,1,18,25,0.134000," ","int((((-x^2+3*x)*ln(3)*exp(x*ln(3)/exp(4)^2)-x*exp(4)^2)*exp(exp(x*ln(3)/exp(4)^2))+(3*x+1)*exp(4)^2)/exp(4)^2/exp((x-3)*exp(exp(x*ln(3)/exp(4)^2))-3*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-\left(x -3\right) \left({\mathrm e}^{3^{x \,{\mathrm e}^{-8}}}-3\right)}$&$18$\\ norman&$x \,{\mathrm e}^{-\left(x -3\right) {\mathrm e}^{{\mathrm e}^{x \ln \left(3\right) {\mathrm e}^{-8}}}+3 x -9}$&$25$\\ \hline \end{longtable}"," ",0,"x*exp(-(x-3)*(exp(3^(x*exp(-8)))-3))","A"
4523,1,7,9,0.011000," ","int((x-2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -2 \ln \left(x \right)$&$7$\\ norman&$x -2 \ln \left(x \right)$&$7$\\ risch&$x -2 \ln \left(x \right)$&$7$\\ \hline \end{longtable}"," ",0,"x-2*ln(x)","A"
4524,0,0,23,0.033000," ","int(((2*x-exp(x))*exp(x^2)+(-8+x)*exp(x)-1)*exp(exp(x))/((-4+ln(3))*exp(x^2)^2+((16-2*x)*ln(3)+8*x-64)*exp(x^2)+(x^2-16*x+64)*ln(3)-4*x^2+64*x-256),x)","\[\int \frac{\left(\left(2 x -{\mathrm e}^{x}\right) {\mathrm e}^{x^{2}}+\left(-8+x \right) {\mathrm e}^{x}-1\right) {\mathrm e}^{{\mathrm e}^{x}}}{\left(-4+\ln \left(3\right)\right) {\mathrm e}^{2 x^{2}}+\left(\left(16-2 x \right) \ln \left(3\right)+8 x -64\right) {\mathrm e}^{x^{2}}+\left(x^{2}-16 x +64\right) \ln \left(3\right)-4 x^{2}+64 x -256}\, dx\]"," ",0,"int(((2*x-exp(x))*exp(x^2)+(-8+x)*exp(x)-1)*exp(exp(x))/((-4+ln(3))*exp(x^2)^2+((16-2*x)*ln(3)+8*x-64)*exp(x^2)+(x^2-16*x+64)*ln(3)-4*x^2+64*x-256),x)","F"
4525,1,14,21,0.025000," ","int(1/5*(x*exp(4)+4*x-5)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 x}{5}+\frac{x \,{\mathrm e}^{4}}{5}-\ln \left(x \right)$&$14$\\ norman&$\left(\frac{4}{5}+\frac{{\mathrm e}^{4}}{5}\right) x -\ln \left(x \right)$&$14$\\ risch&$\frac{4 x}{5}+\frac{x \,{\mathrm e}^{4}}{5}-\ln \left(x \right)$&$14$\\ \hline \end{longtable}"," ",0,"4/5*x+1/5*x*exp(4)-ln(x)","A"
4526,1,30,23,0.062000," ","int(((-72*x^2-168*x-72)*ln(2)-2880*x^4-20160*x^3-52560*x^2-60480*x-25920)/(20*x^6+140*x^5+365*x^4+420*x^3+180*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{288 x^{2}+1008 x +864+\frac{12 \ln \left(2\right)}{5}}{x \left(2 x^{2}+7 x +6\right)}$&$30$\\ norman&$\frac{288 x^{2}+1008 x +864+\frac{12 \ln \left(2\right)}{5}}{x \left(2 x^{2}+7 x +6\right)}$&$31$\\ risch&$\frac{288 x^{2}+1008 x +864+\frac{12 \ln \left(2\right)}{5}}{x \left(2 x^{2}+7 x +6\right)}$&$32$\\ default&$-\frac{24 \left(-\frac{\ln \left(2\right)}{12}-30\right)}{5 x}-\frac{16 \ln \left(2\right)}{5 \left(2 x +3\right)}+\frac{6 \ln \left(2\right)}{5 \left(2+x \right)}$&$33$\\ \hline \end{longtable}"," ",0,"12/5/x*(120*x^2+ln(2)+420*x+360)/(2*x^2+7*x+6)","A"
4527,1,141,25,0.397000," ","int(((2*x^3-x-2)*ln(x)+(-2*x^3+x+2)*ln(1/x)+2*x)*exp((x*ln((-5*ln(x)+5*ln(1/x))/x)+x^3+2)/x)/(x^2*ln(x)-x^2*ln(1/x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{i x \pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}+i x \pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+i x \pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)-i x \pi  \,\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)-2 i x \pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}+2 x^{3}-2 x \ln \left(x \right)+2 x \ln \left(\ln \left(x \right)\right)+2 x \ln \left(5\right)+2 x \ln \left(2\right)+4}{2 x}}$&$141$\\ \hline \end{longtable}"," ",0,"-exp(1/2*(I*x*Pi*csgn(I/x*ln(x))^3+I*x*Pi*csgn(I/x*ln(x))^2*csgn(I/x)+I*x*Pi*csgn(I/x*ln(x))^2*csgn(I*ln(x))-I*x*Pi*csgn(I/x*ln(x))*csgn(I/x)*csgn(I*ln(x))-2*I*x*Pi*csgn(I/x*ln(x))^2+2*x^3-2*x*ln(x)+2*x*ln(ln(x))+2*x*ln(5)+2*x*ln(2)+4)/x)","C"
4528,1,15,12,0.015000," ","int((-4*x-4)*exp(2)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(2 \,{\mathrm e}^{2} x +4 \,{\mathrm e}^{2}-1\right)$&$15$\\ default&${\mathrm e}^{2} \left(-2 x^{2}-4 x \right)+x$&$15$\\ risch&$-2 x^{2} {\mathrm e}^{2}-4 \,{\mathrm e}^{2} x +x$&$15$\\ norman&$\left(-4 \,{\mathrm e}^{2}+1\right) x -2 x^{2} {\mathrm e}^{2}$&$17$\\ \hline \end{longtable}"," ",0,"-x*(2*exp(2)*x+4*exp(2)-1)","A"
4529,1,22,22,0.096000," ","int(1/8*(-2*exp(x)*exp(1/x^2/ln(2+2*ln(2))^2)+(x^3+x^2)*exp(x)*ln(2+2*ln(2))^2)*exp(exp(1/x^2/ln(2+2*ln(2))^2))/x^2/ln(2+2*ln(2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{x +{\mathrm e}^{\frac{1}{x^{2} \left(\ln \left(2\right)+\ln \left(1+\ln \left(2\right)\right)\right)^{2}}}}}{8}$&$22$\\ \hline \end{longtable}"," ",0,"1/8*x*exp(x+exp(1/x^2/(ln(2)+ln(1+ln(2)))^2))","A"
4530,1,23,26,0.032000," ","int(1/100*(16*x^6*ln(x)+4*(25*x^3+250)*ln(2)^2+4*x^6)*exp(1/100*(4*x^6*ln(x)+4*(25*x^3-125)*ln(2)^2)/x^2/ln(2)^2)/x^3/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\frac{x^{4}}{25 \ln \left(2\right)^{2}}} {\mathrm e}^{\frac{x^{3}-5}{x^{2}}}$&$23$\\ \hline \end{longtable}"," ",0,"x^(1/25*x^4/ln(2)^2)*exp((x^3-5)/x^2)","A"
4531,1,17,17,0.054000," ","int((-3*exp(1/5)*ln(x)+3*exp(1/5))/(ln(x)^2-2*x*exp(1/5)*ln(x)+x^2*exp(1/5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 \,{\mathrm e}^{\frac{1}{5}} x}{x \,{\mathrm e}^{\frac{1}{5}}-\ln \left(x \right)}$&$17$\\ risch&$\frac{3 \,{\mathrm e}^{\frac{1}{5}} x}{x \,{\mathrm e}^{\frac{1}{5}}-\ln \left(x \right)}$&$17$\\ \hline \end{longtable}"," ",0,"3*exp(1/5)*x/(x*exp(1/5)-ln(x))","A"
4532,1,23,25,0.115000," ","int((((40*x-40)*exp(x)+5*x^2+60)*exp((40*exp(x)+5*x^2+30*x-60)/x)-x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{\frac{40 \,{\mathrm e}^{x}+5 x^{2}+30 x -60}{x}}$&$23$\\ norman&$\frac{x \,{\mathrm e}^{\frac{40 \,{\mathrm e}^{x}+5 x^{2}+30 x -60}{x}}-x^{2}}{x}$&$32$\\ \hline \end{longtable}"," ",0,"-x+exp(5*(x^2+8*exp(x)+6*x-12)/x)","A"
4533,0,0,25,0.071000," ","int(((((-512*x+3072)*ln(3)-512*x^2+3072*x)*ln(ln(3)^2+2*x*ln(3)+x^2)+4096)*ln(ln(ln(3)^2+2*x*ln(3)+x^2))^3+(((192*x^3-3456*x^2+16896*x-18432)*ln(3)+192*x^4-3456*x^3+16896*x^2-18432*x)*ln(ln(3)^2+2*x*ln(3)+x^2)-1536*x^2+18432*x-24576)*ln(ln(ln(3)^2+2*x*ln(3)+x^2))^2+(((-24*x^5+720*x^4-7680*x^3+34560*x^2-61440*x+36864)*ln(3)-24*x^6+720*x^5-7680*x^4+34560*x^3-61440*x^2+36864*x)*ln(ln(3)^2+2*x*ln(3)+x^2)+192*x^4-4608*x^3+33792*x^2-73728*x+49152)*ln(ln(ln(3)^2+2*x*ln(3)+x^2))+((x^7-42*x^6+696*x^5-5760*x^4+24960*x^3-55296*x^2+59392*x-24576)*ln(3)+x^8-42*x^7+696*x^6-5760*x^5+24960*x^4-55296*x^3+59392*x^2-24576*x)*ln(ln(3)^2+2*x*ln(3)+x^2)-8*x^6+288*x^5-3840*x^4+23040*x^3-61440*x^2+73728*x-32768)/(800*ln(3)+800*x)/ln(ln(3)^2+2*x*ln(3)+x^2),x)","\[\int \frac{\left(\left(\left(-512 x +3072\right) \ln \left(3\right)-512 x^{2}+3072 x \right) \ln \left(\ln \left(3\right)^{2}+2 x \ln \left(3\right)+x^{2}\right)+4096\right) \ln \left(\ln \left(\ln \left(3\right)^{2}+2 x \ln \left(3\right)+x^{2}\right)\right)^{3}+\left(\left(\left(192 x^{3}-3456 x^{2}+16896 x -18432\right) \ln \left(3\right)+192 x^{4}-3456 x^{3}+16896 x^{2}-18432 x \right) \ln \left(\ln \left(3\right)^{2}+2 x \ln \left(3\right)+x^{2}\right)-1536 x^{2}+18432 x -24576\right) \ln \left(\ln \left(\ln \left(3\right)^{2}+2 x \ln \left(3\right)+x^{2}\right)\right)^{2}+\left(\left(\left(-24 x^{5}+720 x^{4}-7680 x^{3}+34560 x^{2}-61440 x +36864\right) \ln \left(3\right)-24 x^{6}+720 x^{5}-7680 x^{4}+34560 x^{3}-61440 x^{2}+36864 x \right) \ln \left(\ln \left(3\right)^{2}+2 x \ln \left(3\right)+x^{2}\right)+192 x^{4}-4608 x^{3}+33792 x^{2}-73728 x +49152\right) \ln \left(\ln \left(\ln \left(3\right)^{2}+2 x \ln \left(3\right)+x^{2}\right)\right)+\left(\left(x^{7}-42 x^{6}+696 x^{5}-5760 x^{4}+24960 x^{3}-55296 x^{2}+59392 x -24576\right) \ln \left(3\right)+x^{8}-42 x^{7}+696 x^{6}-5760 x^{5}+24960 x^{4}-55296 x^{3}+59392 x^{2}-24576 x \right) \ln \left(\ln \left(3\right)^{2}+2 x \ln \left(3\right)+x^{2}\right)-8 x^{6}+288 x^{5}-3840 x^{4}+23040 x^{3}-61440 x^{2}+73728 x -32768}{\left(800 \ln \left(3\right)+800 x \right) \ln \left(\ln \left(3\right)^{2}+2 x \ln \left(3\right)+x^{2}\right)}\, dx\]"," ",0,"int(((((-512*x+3072)*ln(3)-512*x^2+3072*x)*ln(ln(3)^2+2*x*ln(3)+x^2)+4096)*ln(ln(ln(3)^2+2*x*ln(3)+x^2))^3+(((192*x^3-3456*x^2+16896*x-18432)*ln(3)+192*x^4-3456*x^3+16896*x^2-18432*x)*ln(ln(3)^2+2*x*ln(3)+x^2)-1536*x^2+18432*x-24576)*ln(ln(ln(3)^2+2*x*ln(3)+x^2))^2+(((-24*x^5+720*x^4-7680*x^3+34560*x^2-61440*x+36864)*ln(3)-24*x^6+720*x^5-7680*x^4+34560*x^3-61440*x^2+36864*x)*ln(ln(3)^2+2*x*ln(3)+x^2)+192*x^4-4608*x^3+33792*x^2-73728*x+49152)*ln(ln(ln(3)^2+2*x*ln(3)+x^2))+((x^7-42*x^6+696*x^5-5760*x^4+24960*x^3-55296*x^2+59392*x-24576)*ln(3)+x^8-42*x^7+696*x^6-5760*x^5+24960*x^4-55296*x^3+59392*x^2-24576*x)*ln(ln(3)^2+2*x*ln(3)+x^2)-8*x^6+288*x^5-3840*x^4+23040*x^3-61440*x^2+73728*x-32768)/(800*ln(3)+800*x)/ln(ln(3)^2+2*x*ln(3)+x^2),x)","F"
4534,1,17,21,0.043000," ","int(1/3*(exp(1/3*x)-3)*exp(exp(1/3*x)-x)+10*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x^{2}+x +{\mathrm e}^{{\mathrm e}^{\frac{x}{3}}-x}$&$17$\\ norman&$5 x^{2}+x +{\mathrm e}^{{\mathrm e}^{\frac{x}{3}}-x}$&$17$\\ risch&$5 x^{2}+x +{\mathrm e}^{{\mathrm e}^{\frac{x}{3}}-x}$&$17$\\ \hline \end{longtable}"," ",0,"5*x^2+x+exp(exp(1/3*x)-x)","A"
4535,1,20,21,0.169000," ","int((2*(30*x^3-30*x^2)*ln(2)-40*x^4+40*x^3+2)/(x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-10 x^{4}+20 x^{3} \ln \left(2\right)+2 \ln \left(x -1\right)$&$20$\\ norman&$-10 x^{4}+20 x^{3} \ln \left(2\right)+2 \ln \left(x -1\right)$&$20$\\ risch&$-10 x^{4}+20 x^{3} \ln \left(2\right)+2 \ln \left(x -1\right)$&$20$\\ meijerg&$-38 \ln \left(1-x \right)-\frac{2 x \left(15 x^{3}+20 x^{2}+30 x +60\right)}{3}-\left(60 \ln \left(2\right)+40\right) \left(-\frac{x \left(4 x^{2}+6 x +12\right)}{12}-\ln \left(1-x \right)\right)-60 \ln \left(2\right) \left(\frac{x \left(6+3 x \right)}{6}+\ln \left(1-x \right)\right)$&$77$\\ \hline \end{longtable}"," ",0,"-10*x^4+20*x^3*ln(2)+2*ln(x-1)","A"
4536,1,36,32,0.040000," ","int((-2*x^5+4*x^4-4*x^3-300*x^2+600*x-300)*exp(2/exp(2)/ln((-x^4+2*x^3+75*x-75)/(x^3-x^2)))/(x^6-3*x^5+2*x^4-75*x^3+150*x^2-75*x)/exp(2)/ln((-x^4+2*x^3+75*x-75)/(x^3-x^2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 \,{\mathrm e}^{-2}}{\ln \left(\frac{-x^{4}+2 x^{3}+75 x -75}{x^{3}-x^{2}}\right)}}$&$36$\\ \hline \end{longtable}"," ",0,"exp(2*exp(-2)/ln((-x^4+2*x^3+75*x-75)/(x^3-x^2)))","A"
4537,1,24,24,0.072000," ","int(exp(exp(2))*exp((x+2*ln(2))*exp(exp(2))/(5*exp(exp(2))-exp(1/exp(13)^2)))/(5*exp(exp(2))-exp(1/exp(13)^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{\left(x +2 \ln \left(2\right)\right) {\mathrm e}^{{\mathrm e}^{2}}}{-5 \,{\mathrm e}^{{\mathrm e}^{2}}+{\mathrm e}^{{\mathrm e}^{-26}}}}$&$24$\\ gosper&${\mathrm e}^{\frac{\left(x +2 \ln \left(2\right)\right) {\mathrm e}^{{\mathrm e}^{2}}}{5 \,{\mathrm e}^{{\mathrm e}^{2}}-{\mathrm e}^{{\mathrm e}^{-26}}}}$&$27$\\ derivativedivides&${\mathrm e}^{\frac{\left(x +2 \ln \left(2\right)\right) {\mathrm e}^{{\mathrm e}^{2}}}{5 \,{\mathrm e}^{{\mathrm e}^{2}}-{\mathrm e}^{{\mathrm e}^{-26}}}}$&$27$\\ default&${\mathrm e}^{\frac{\left(x +2 \ln \left(2\right)\right) {\mathrm e}^{{\mathrm e}^{2}}}{5 \,{\mathrm e}^{{\mathrm e}^{2}}-{\mathrm e}^{{\mathrm e}^{-26}}}}$&$27$\\ norman&${\mathrm e}^{\frac{\left(x +2 \ln \left(2\right)\right) {\mathrm e}^{{\mathrm e}^{2}}}{5 \,{\mathrm e}^{{\mathrm e}^{2}}-{\mathrm e}^{{\mathrm e}^{-26}}}}$&$27$\\ meijerg&$-{\mathrm e}^{\frac{2 \,{\mathrm e}^{{\mathrm e}^{2}} \ln \left(2\right)}{5 \,{\mathrm e}^{{\mathrm e}^{2}}-{\mathrm e}^{{\mathrm e}^{-26}}}} \left(1-{\mathrm e}^{\frac{x \,{\mathrm e}^{{\mathrm e}^{2}}}{5 \,{\mathrm e}^{{\mathrm e}^{2}}-{\mathrm e}^{{\mathrm e}^{-26}}}}\right)$&$47$\\ \hline \end{longtable}"," ",0,"exp(-(x+2*ln(2))*exp(exp(2))/(-5*exp(exp(2))+exp(exp(-26))))","A"
4538,1,70,31,0.038000," ","int((((4*x^3+96*x^2+512*x-1)*exp(x)^2+(x^5+27*x^4+128*x^3-768*x^2)*exp(x))*ln(x)^2+((-8*x^4-192*x^3-1024*x^2+2*x)*exp(x)+4*x^5+96*x^4+512*x^3)*ln(x)+5*x^5+128*x^4+768*x^3-x^2)/(exp(x)^2*ln(x)^2-2*x*exp(x)*ln(x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \left(x^{4}-{\mathrm e}^{x} x^{3}+32 x^{3}-32 \,{\mathrm e}^{x} x^{2}+256 x^{2}-256 \,{\mathrm e}^{x} x +{\mathrm e}^{x}\right) {\mathrm e}^{-x}+\frac{\left(x^{2}+32 x +256\right) x^{4} {\mathrm e}^{-x}}{-{\mathrm e}^{x} \ln \left(x \right)+x}$&$70$\\ \hline \end{longtable}"," ",0,"-x*(x^4-exp(x)*x^3+32*x^3-32*exp(x)*x^2+256*x^2-256*exp(x)*x+exp(x))*exp(-x)+(x^2+32*x+256)*x^4*exp(-x)/(-exp(x)*ln(x)+x)","B"
4539,1,58,27,0.051000," ","int(1/25*(50*x^4*ln(4/x)^2+(-170*x^4-150*x^3)*ln(4/x)+132*x^4+330*x^3-300*x^2+900*x-1800)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(\frac{4}{x}\right)^{2}+\frac{\left(-60 x^{2}-150 x \right) \ln \left(\frac{4}{x}\right)}{25}-\frac{12 \left(-3 x^{4}+25 x^{2} \ln \left(x \right)-15 x^{3}+75 x -75\right)}{25 x^{2}}$&$58$\\ derivativedivides&$\frac{36}{x^{2}}-\frac{36}{x}+x^{2} \ln \left(\frac{4}{x}\right)^{2}-\frac{12 x^{2} \ln \left(\frac{4}{x}\right)}{5}+\frac{36 x^{2}}{25}-6 x \ln \left(\frac{4}{x}\right)+\frac{36 x}{5}+12 \ln \left(\frac{4}{x}\right)$&$60$\\ default&$\frac{36}{x^{2}}-\frac{36}{x}+x^{2} \ln \left(\frac{4}{x}\right)^{2}-\frac{12 x^{2} \ln \left(\frac{4}{x}\right)}{5}+\frac{36 x^{2}}{25}-6 x \ln \left(\frac{4}{x}\right)+\frac{36 x}{5}+12 \ln \left(\frac{4}{x}\right)$&$60$\\ norman&$\frac{36+x^{4} \ln \left(\frac{4}{x}\right)^{2}+12 x^{2} \ln \left(\frac{4}{x}\right)-36 x +\frac{36 x^{3}}{5}+\frac{36 x^{4}}{25}-6 x^{3} \ln \left(\frac{4}{x}\right)-\frac{12 x^{4} \ln \left(\frac{4}{x}\right)}{5}}{x^{2}}$&$65$\\ \hline \end{longtable}"," ",0,"x^2*ln(4/x)^2+1/25*(-60*x^2-150*x)*ln(4/x)-12/25*(-3*x^4+25*x^2*ln(x)-15*x^3+75*x-75)/x^2","B"
4540,1,10,16,0.017000," ","int(1/5*(-4*x^2+8)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{4 x}{5}-\frac{8}{5 x}$&$10$\\ risch&$-\frac{4 x}{5}-\frac{8}{5 x}$&$10$\\ gosper&$-\frac{4 \left(x^{2}+2\right)}{5 x}$&$11$\\ norman&$\frac{-\frac{8}{5}-\frac{4 x^{2}}{5}}{x}$&$12$\\ \hline \end{longtable}"," ",0,"-4/5*x-8/5/x","A"
4541,1,36,25,0.069000," ","int(((2*x^2+26*x)*ln(x)^2-2*x*ln(x)+8*ln(2)+2*x+2)/((4*x*ln(2)+x^3+26*x^2+x)*ln(x)^2+(-8*x*ln(2)-2*x^2-2*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left(x \right)\right)+\ln \left(x^{2} \ln \left(x \right)+4 \ln \left(2\right) \ln \left(x \right)+26 x \ln \left(x \right)+\ln \left(x \right)-8 \ln \left(2\right)-2 x -2\right)$&$36$\\ risch&$\ln \left(x^{2}+4 \ln \left(2\right)+26 x +1\right)-\ln \left(\ln \left(x \right)\right)+\ln \left(\ln \left(x \right)-\frac{2 \left(x +4 \ln \left(2\right)+1\right)}{x^{2}+4 \ln \left(2\right)+26 x +1}\right)$&$47$\\ \hline \end{longtable}"," ",0,"-ln(ln(x))+ln(x^2*ln(x)+4*ln(2)*ln(x)+26*x*ln(x)+ln(x)-8*ln(2)-2*x-2)","A"
4542,1,51,24,0.412000," ","int((-16*x^14*ln(3)^4+(-96*x^14+96*x^10)*ln(3)^2-144*x^14+288*x^10+112*x^6)/(x^16*ln(3)^8+(12*x^16+4*x^12)*ln(3)^6+(54*x^16+32*x^15+36*x^12+6*x^8)*ln(3)^4+(108*x^16+192*x^15+108*x^12+64*x^11+36*x^8+4*x^4)*ln(3)^2+81*x^16+288*x^15+256*x^14+108*x^12+192*x^11+54*x^8+32*x^7+12*x^4+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{16 x^{7}}{x^{8} \ln \left(3\right)^{4}+6 x^{8} \ln \left(3\right)^{2}+9 x^{8}+16 x^{7}+2 x^{4} \ln \left(3\right)^{2}+6 x^{4}+1}$&$51$\\ default&$\frac{16 x^{7}}{x^{8} \ln \left(3\right)^{4}+6 x^{8} \ln \left(3\right)^{2}+9 x^{8}+16 x^{7}+2 x^{4} \ln \left(3\right)^{2}+6 x^{4}+1}$&$51$\\ norman&$\frac{16 x^{7}}{x^{8} \ln \left(3\right)^{4}+6 x^{8} \ln \left(3\right)^{2}+9 x^{8}+16 x^{7}+2 x^{4} \ln \left(3\right)^{2}+6 x^{4}+1}$&$51$\\ risch&$\frac{16 x^{7}}{x^{8} \ln \left(3\right)^{4}+6 x^{8} \ln \left(3\right)^{2}+9 x^{8}+16 x^{7}+2 x^{4} \ln \left(3\right)^{2}+6 x^{4}+1}$&$51$\\ \hline \end{longtable}"," ",0,"16*x^7/(x^8*ln(3)^4+6*x^8*ln(3)^2+9*x^8+16*x^7+2*x^4*ln(3)^2+6*x^4+1)","B"
4543,1,27,30,1.424000," ","int((((4*x^2-3*x)*exp(4)+5)*exp(5)^2+((-5*x^3+4*x^2)*exp(4)-5*x^2)*exp(5))/(((x^7-2*x^6+x^5)*exp(4)^5+(25*x^6-50*x^5+25*x^4)*exp(4)^4+(250*x^5-500*x^4+250*x^3)*exp(4)^3+(1250*x^4-2500*x^3+1250*x^2)*exp(4)^2+(3125*x^3-6250*x^2+3125*x)*exp(4)+3125*x^2-6250*x+3125)*exp(5)^2+((-2*x^8+4*x^7-2*x^6)*exp(4)^5+(-50*x^7+100*x^6-50*x^5)*exp(4)^4+(-500*x^6+1000*x^5-500*x^4)*exp(4)^3+(-2500*x^5+5000*x^4-2500*x^3)*exp(4)^2+(-6250*x^4+12500*x^3-6250*x^2)*exp(4)-6250*x^3+12500*x^2-6250*x)*exp(5)+(x^9-2*x^8+x^7)*exp(4)^5+(25*x^8-50*x^7+25*x^6)*exp(4)^4+(250*x^7-500*x^6+250*x^5)*exp(4)^3+(1250*x^6-2500*x^5+1250*x^4)*exp(4)^2+(3125*x^5-6250*x^4+3125*x^3)*exp(4)+3125*x^4-6250*x^3+3125*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x \,{\mathrm e}^{5}}{\left(x -1\right) \left(5+x \,{\mathrm e}^{4}\right)^{4} \left({\mathrm e}^{5}-x \right)}$&$27$\\ risch&$-\frac{{\mathrm e}^{5} x}{x^{5} {\mathrm e}^{21}-x^{4} {\mathrm e}^{21}-{\mathrm e}^{16} x^{6}+20 x^{4} {\mathrm e}^{17}+x^{5} {\mathrm e}^{16}-20 x^{3} {\mathrm e}^{17}-20 \,{\mathrm e}^{12} x^{5}+150 x^{3} {\mathrm e}^{13}+20 \,{\mathrm e}^{12} x^{4}-150 x^{2} {\mathrm e}^{13}-150 \,{\mathrm e}^{8} x^{4}+500 x^{2} {\mathrm e}^{9}+150 \,{\mathrm e}^{8} x^{3}-500 x \,{\mathrm e}^{9}-500 x^{3} {\mathrm e}^{4}+625 x \,{\mathrm e}^{5}+500 x^{2} {\mathrm e}^{4}-625 \,{\mathrm e}^{5}-625 x^{2}+625 x}$&$134$\\ gosper&$-\frac{x \,{\mathrm e}^{5}}{{\mathrm e}^{5} {\mathrm e}^{16} x^{5}-{\mathrm e}^{16} x^{6}-{\mathrm e}^{5} {\mathrm e}^{16} x^{4}+x^{5} {\mathrm e}^{16}+20 \,{\mathrm e}^{5} {\mathrm e}^{12} x^{4}-20 \,{\mathrm e}^{12} x^{5}-20 \,{\mathrm e}^{5} {\mathrm e}^{12} x^{3}+20 \,{\mathrm e}^{12} x^{4}+150 \,{\mathrm e}^{5} {\mathrm e}^{8} x^{3}-150 \,{\mathrm e}^{8} x^{4}-150 \,{\mathrm e}^{5} {\mathrm e}^{8} x^{2}+150 \,{\mathrm e}^{8} x^{3}+500 x^{2} {\mathrm e}^{4} {\mathrm e}^{5}-500 x^{3} {\mathrm e}^{4}-500 x \,{\mathrm e}^{4} {\mathrm e}^{5}+500 x^{2} {\mathrm e}^{4}+625 x \,{\mathrm e}^{5}-625 x^{2}-625 \,{\mathrm e}^{5}+625 x}$&$174$\\ default&$\text{Expression too large to display}$&$1549$\\ \hline \end{longtable}"," ",0,"-x*exp(5)/(x-1)/(5+x*exp(4))^4/(exp(5)-x)","A"
4544,1,27,18,0.081000," ","int(1/5*((2*x-3)*exp(8)*exp(x)^2+(8*x^3-28*x^2+12*x)*exp(8))*exp((3*exp(x)^2-4*x)/exp(x)^2)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(x -3\right) {\mathrm e}^{3 \,{\mathrm e}^{-2 x} {\mathrm e}^{2 x}-4 \,{\mathrm e}^{-2 x} x +8}}{5}$&$27$\\ norman&$\left(\frac{x^{2} {\mathrm e}^{8} {\mathrm e}^{2 x} {\mathrm e}^{\left(3 \,{\mathrm e}^{2 x}-4 x \right) {\mathrm e}^{-2 x}}}{5}-\frac{3 \,{\mathrm e}^{8} {\mathrm e}^{2 x} x \,{\mathrm e}^{\left(3 \,{\mathrm e}^{2 x}-4 x \right) {\mathrm e}^{-2 x}}}{5}\right) {\mathrm e}^{-2 x}$&$59$\\ \hline \end{longtable}"," ",0,"1/5*x*(x-3)*exp(3*exp(-2*x)*exp(2*x)-4*exp(-2*x)*x+8)","A"
4545,1,10,10,0.021000," ","int(1/9*(-64*x+160)*exp(-32/9*x^2+160/9*x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-\frac{32 \left(x -5\right) x}{9}}$&$10$\\ default&$x +{\mathrm e}^{-\frac{32}{9} x^{2}+\frac{160}{9} x}$&$13$\\ norman&$x +{\mathrm e}^{-\frac{32}{9} x^{2}+\frac{160}{9} x}$&$13$\\ \hline \end{longtable}"," ",0,"x+exp(-32/9*(x-5)*x)","A"
4546,1,18,23,0.019000," ","int(((-x^3+7*x^2)*exp(x)+4*x^2+4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x -\frac{4}{x}+\left(8-x \right) {\mathrm e}^{x}$&$18$\\ default&$4 x -\frac{4}{x}-{\mathrm e}^{x} x +8 \,{\mathrm e}^{x}$&$19$\\ norman&$\frac{-4+4 x^{2}+8 \,{\mathrm e}^{x} x -{\mathrm e}^{x} x^{2}}{x}$&$24$\\ \hline \end{longtable}"," ",0,"4*x-4/x+(8-x)*exp(x)","A"
4547,1,22,21,0.199000," ","int(((4+x)*ln(x)*ln(-1/(4+x)/ln(x))+((-x-4)*exp(x)+4)*ln(x)-x-4)/(4+x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{x}+\ln \left(\frac{1}{\left(-x -4\right) \ln \left(x \right)}\right) x +x$&$22$\\ risch&$-x \ln \left(4+x \right)-x \ln \left(\ln \left(x \right)\right)-i x \pi  \mathrm{csgn}\left(\frac{i}{\ln \left(x \right) \left(4+x \right)}\right)^{2}-\frac{i x \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{4+x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right) \left(4+x \right)}\right)}{2}+\frac{i x \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right) \left(4+x \right)}\right)^{2}}{2}+\frac{i x \pi  \,\mathrm{csgn}\left(\frac{i}{4+x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right) \left(4+x \right)}\right)^{2}}{2}+\frac{i x \pi  \mathrm{csgn}\left(\frac{i}{\ln \left(x \right) \left(4+x \right)}\right)^{3}}{2}+i \pi  x +x -{\mathrm e}^{x}$&$157$\\ \hline \end{longtable}"," ",0,"-exp(x)+ln(1/(-x-4)/ln(x))*x+x","A"
4548,1,8,7,0.015000," ","int(-exp(-x-2)*exp(exp(-x-2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{{\mathrm e}^{-x -2}}$&$8$\\ default&${\mathrm e}^{{\mathrm e}^{-x -2}}$&$8$\\ norman&${\mathrm e}^{{\mathrm e}^{-x -2}}$&$8$\\ risch&${\mathrm e}^{{\mathrm e}^{-x -2}}$&$8$\\ \hline \end{longtable}"," ",0,"exp(exp(-x-2))","A"
4549,1,29,22,0.059000," ","int((16*x^3*ln(5*x)^2+(-160*x^4+128*x^3+240*x^2)*ln(5*x)+400*x^5-640*x^4-944*x^3+980*x^2+896*x+30)/(4*x^2*ln(5*x)^2+(-40*x^3+32*x^2+60*x)*ln(5*x)+100*x^4-160*x^3-236*x^2+240*x+225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2}-\frac{2 x}{10 x^{2}-2 x \ln \left(5 x \right)-8 x -15}$&$29$\\ norman&$\frac{-30 x^{2}-2 x -16 x^{3}+20 x^{4}-4 x^{3} \ln \left(5 x \right)}{10 x^{2}-2 x \ln \left(5 x \right)-8 x -15}$&$49$\\ \hline \end{longtable}"," ",0,"2*x^2-2*x/(10*x^2-2*x*ln(5*x)-8*x-15)","A"
4550,1,86,21,0.237000," ","int(((100*x^3+125*x)*exp(x)*ln(x/(16*x^2+20))*exp(exp(x))*ln(ln(x/(16*x^2+20)))^2+(-200*x^2+250)*exp(exp(x))*ln(ln(x/(16*x^2+20))))/(4*x^3+5*x)/ln(x/(16*x^2+20)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 \,{\mathrm e}^{{\mathrm e}^{x}} \ln \left(-4 \ln \left(2\right)+\ln \left(x \right)-\ln \left(x^{2}+\frac{5}{4}\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x}{x^{2}+\frac{5}{4}}\right) \left(-\mathrm{csgn}\left(\frac{i x}{x^{2}+\frac{5}{4}}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(\frac{i x}{x^{2}+\frac{5}{4}}\right)+\mathrm{csgn}\left(\frac{i}{x^{2}+\frac{5}{4}}\right)\right)}{2}\right)^{2}$&$86$\\ \hline \end{longtable}"," ",0,"25*exp(exp(x))*ln(-4*ln(2)+ln(x)-ln(x^2+5/4)-1/2*I*Pi*csgn(I*x/(x^2+5/4))*(-csgn(I*x/(x^2+5/4))+csgn(I*x))*(-csgn(I*x/(x^2+5/4))+csgn(I/(x^2+5/4))))^2","C"
4551,1,24,20,0.131000," ","int(((((2*x+10)*ln(x)-x-5)*ln(x^2+5*x)+(8*x+40)*ln(x)-4*x-20)*ln(ln(x^2+5*x)+4)-2*x-5)/((x^2+5*x)*ln(x^2+5*x)+4*x^2+20*x)/ln(ln(x^2+5*x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)^{2}-\ln \left(x \right)-\ln \left(\ln \left(\ln \left(x^{2}+5 x \right)+4\right)\right)$&$24$\\ risch&$\ln \left(x \right)^{2}-\ln \left(x \right)-\ln \left(\ln \left(\ln \left(x \right)+\ln \left(5+x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(5+x \right)\right) \left(-\mathrm{csgn}\left(i x \left(5+x \right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(5+x \right)\right)+\mathrm{csgn}\left(i \left(5+x \right)\right)\right)}{2}+4\right)\right)$&$68$\\ \hline \end{longtable}"," ",0,"ln(x)^2-ln(x)-ln(ln(ln(x^2+5*x)+4))","A"
4552,1,20,21,0.076000," ","int(1/9*(-9*exp(4/9*x*exp(4+3*x)+4/9*x)+(-120*x^2-40*x)*exp(4+3*x)-40*x+90)/exp(4/9*x*exp(4+3*x)+4/9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +10 x \,{\mathrm e}^{-\frac{4 x \left({\mathrm e}^{4+3 x}+1\right)}{9}}$&$20$\\ norman&$\left(10 x -x \,{\mathrm e}^{\frac{4 x \,{\mathrm e}^{4+3 x}}{9}+\frac{4 x}{9}}\right) {\mathrm e}^{-\frac{4 x \,{\mathrm e}^{4+3 x}}{9}-\frac{4 x}{9}}$&$39$\\ \hline \end{longtable}"," ",0,"-x+10*x*exp(-4/9*x*(exp(4+3*x)+1))","A"
4553,1,36,33,0.665000," ","int(((4*exp(2)*ln(2)^2-exp(2))*exp(exp(x))^2+(-exp(x)*x+4*(-8*x^2-40*x-50)*exp(2)*ln(2)^2+(8*x^2+40*x+50)*exp(2)+1)*exp(exp(x))+4*(16*x^4+160*x^3+600*x^2+1000*x+625)*exp(2)*ln(2)^2+(-16*x^4-160*x^3-600*x^2-1000*x-625)*exp(2)+4*x^2-25)/((4*ln(2)^2-1)*exp(exp(x))^2+(4*(-8*x^2-40*x-50)*ln(2)^2+8*x^2+40*x+50)*exp(exp(x))+4*(16*x^4+160*x^3+600*x^2+1000*x+625)*ln(2)^2-16*x^4-160*x^3-600*x^2-1000*x-625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2} x -\frac{x}{\left(4 \ln \left(2\right)^{2}-1\right) \left(4 x^{2}+20 x -{\mathrm e}^{{\mathrm e}^{x}}+25\right)}$&$36$\\ norman&$\frac{\frac{\left(100 \,{\mathrm e}^{2} \ln \left(2\right)^{2}-25 \,{\mathrm e}^{2}-1\right) x}{4 \ln \left(2\right)^{2}-1}+20 x^{2} {\mathrm e}^{2}+4 x^{3} {\mathrm e}^{2}-{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{x}} x}{4 x^{2}+20 x -{\mathrm e}^{{\mathrm e}^{x}}+25}$&$68$\\ \hline \end{longtable}"," ",0,"exp(2)*x-x/(4*ln(2)^2-1)/(4*x^2+20*x-exp(exp(x))+25)","A"
4554,1,21,22,0.074000," ","int(((2*exp(5)-2*x^3-30*x-10)*ln(3/5*exp(5)-3/5*x^3-9*x-3)-6*x^3-30*x)/(exp(5)^2+(-x^3-15*x-5)*exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \ln \left(\frac{3 \,{\mathrm e}^{5}}{5}-\frac{3 x^{3}}{5}-9 x -3\right) {\mathrm e}^{-5}$&$21$\\ norman&$2 x \ln \left(\frac{3 \,{\mathrm e}^{5}}{5}-\frac{3 x^{3}}{5}-9 x -3\right) {\mathrm e}^{-5}$&$23$\\ default&$2 \,{\mathrm e}^{-5} \ln \left(3\right) x +2 \,{\mathrm e}^{-5} x \ln \left(-x^{3}+{\mathrm e}^{5}-15 x -5\right)+2 \,{\mathrm e}^{-5} \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-{\mathrm e}^{5}+15 \textit{\_Z} +5\right)}{\sum}\frac{\left(10 \textit{\_R} +5-{\mathrm e}^{5}\right) \ln \left(x -\textit{\_R} \right)}{\textit{\_R}^{2}+5}\right)-2 x \ln \left(5\right) {\mathrm e}^{-5}+2 \,{\mathrm e}^{-5} \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-{\mathrm e}^{5}+15 \textit{\_Z} +5\right)}{\sum}\frac{\left(-10 \textit{\_R} -5+{\mathrm e}^{5}\right) \ln \left(x -\textit{\_R} \right)}{\textit{\_R}^{2}+5}\right)$&$128$\\ \hline \end{longtable}"," ",0,"2*x*ln(3/5*exp(5)-3/5*x^3-9*x-3)*exp(-5)","A"
4555,1,23,21,0.301000," ","int((x^2*exp(1)^2+(-20*x^2-8*x)*exp(1)+36*x^2+144*x+16)/(x^2*exp(1)^2+(-4*x^2-8*x)*exp(1)+4*x^2+16*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(x \,{\mathrm e}-18 x -4\right)}{x \,{\mathrm e}-2 x -4}$&$23$\\ norman&$\frac{\left({\mathrm e}-18\right) x^{2}-4 x}{x \,{\mathrm e}-2 x -4}$&$25$\\ risch&$\frac{x \,{\mathrm e}}{{\mathrm e}-2}-\frac{18 x}{{\mathrm e}-2}-\frac{256}{\left({\mathrm e}-2\right)^{2} \left(x \,{\mathrm e}-2 x -4\right)}$&$40$\\ meijerg&$\frac{\left({\mathrm e}-2\right)^{2} x}{\left({\mathrm e}^{2}-4 \,{\mathrm e}+4\right) \left(1+\frac{x \left(2-{\mathrm e}\right)}{4}\right)}+\frac{4 \left({\mathrm e}^{2}-20 \,{\mathrm e}+36\right) \left({\mathrm e}-2\right)^{2} \left(\frac{x \left(2-{\mathrm e}\right) \left(\frac{3 x \left(2-{\mathrm e}\right)}{4}+6\right)}{12+3 x \left(2-{\mathrm e}\right)}-2 \ln \left(1+\frac{x \left(2-{\mathrm e}\right)}{4}\right)\right)}{\left({\mathrm e}^{2}-4 \,{\mathrm e}+4\right) \left(2-{\mathrm e}\right)^{3}}+\frac{\left(-8 \,{\mathrm e}+144\right) \left({\mathrm e}-2\right)^{2} \left(-\frac{x \left(2-{\mathrm e}\right)}{4 \left(1+\frac{x \left(2-{\mathrm e}\right)}{4}\right)}+\ln \left(1+\frac{x \left(2-{\mathrm e}\right)}{4}\right)\right)}{\left({\mathrm e}^{2}-4 \,{\mathrm e}+4\right) \left(2-{\mathrm e}\right)^{2}}$&$181$\\ \hline \end{longtable}"," ",0,"x*(x*exp(1)-18*x-4)/(x*exp(1)-2*x-4)","A"
4556,1,22,23,0.113000," ","int(1/26*((-x^2-1)*exp((-x^2-3*x+1)/x)+26*x^2-26)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{1}{x}+\frac{{\mathrm e}^{-\frac{x^{2}+3 x -1}{x}}}{26}$&$22$\\ norman&$\frac{1+x^{2}+\frac{x \,{\mathrm e}^{\frac{-x^{2}-3 x +1}{x}}}{26}}{x}$&$28$\\ \hline \end{longtable}"," ",0,"x+1/x+1/26*exp(-(x^2+3*x-1)/x)","A"
4557,1,33,29,0.112000," ","int((-2*x^2*ln(x)+(2*(-x^2+6*x-5)*ln(2)*exp(x)+2*(2*x^3-10*x^2)*ln(2))*ln(5-x)^2+(2*(-6*x^2+36*x-30)*ln(2)*exp(x)+2*(12*x^3-60*x^2)*ln(2)+2*x^2-10*x)*ln(5-x)+2*(-9*x^2+54*x-45)*ln(2)*exp(x)+2*(18*x^3-90*x^2)*ln(2)+6*x^2-30*x)/((x^3-5*x^2)*ln(5-x)^2+(6*x^3-30*x^2)*ln(5-x)+9*x^3-45*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(2\right) \left(2 x^{2}-{\mathrm e}^{x}\right)}{x}+\frac{2 \ln \left(x \right)}{\ln \left(5-x \right)+3}$&$33$\\ \hline \end{longtable}"," ",0,"2*ln(2)*(2*x^2-exp(x))/x+2*ln(x)/(ln(5-x)+3)","A"
4558,1,9,9,0.014000," ","int(-5*exp(x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -5 \,{\mathrm e}^{x}$&$9$\\ norman&$-x -5 \,{\mathrm e}^{x}$&$9$\\ risch&$-x -5 \,{\mathrm e}^{x}$&$9$\\ derivativedivides&$-5 \,{\mathrm e}^{x}-\ln \left({\mathrm e}^{x}\right)$&$11$\\ \hline \end{longtable}"," ",0,"-x-5*exp(x)","A"
4559,1,23,28,0.127000," ","int((((8*x^4-12*x^3+4*x)*exp(x)^2*ln(ln(3))-4*x^2+8*x-4)*exp(x*exp(x)^2*ln(ln(3)))+2*x^2)/(x^4-2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2}{x -1}+\frac{4 \ln \left(3\right)^{x \,{\mathrm e}^{2 x}}}{x}$&$23$\\ norman&$\frac{-2 x +4 \,{\mathrm e}^{x \,{\mathrm e}^{2 x} \ln \left(\ln \left(3\right)\right)} x -4 \,{\mathrm e}^{x \,{\mathrm e}^{2 x} \ln \left(\ln \left(3\right)\right)}}{x \left(x -1\right)}$&$39$\\ \hline \end{longtable}"," ",0,"-2/(x-1)+4/x*ln(3)^(x*exp(2*x))","A"
4560,1,33,32,0.486000," ","int(((3*x^2+12*x+27)*exp(1/3*exp(-x+6)/x)^2+((x^3+5*x^2+8*x+4)*exp(-x+6)-30*x)*exp(1/3*exp(-x+6)/x)+15*x^2)/((3*x^2+12*x+12)*exp(1/3*exp(-x+6)/x)^2+(-6*x^3-24*x^2-24*x)*exp(1/3*exp(-x+6)/x)+3*x^4+12*x^3+12*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{5}{2+x}-\frac{x^{2}}{x -{\mathrm e}^{\frac{{\mathrm e}^{-x +6}}{3 x}}}$&$33$\\ norman&$\frac{-5 x +5 \,{\mathrm e}^{\frac{{\mathrm e}^{-x +6}}{3 x}}-2 \,{\mathrm e}^{\frac{{\mathrm e}^{-x +6}}{3 x}} x -{\mathrm e}^{\frac{{\mathrm e}^{-x +6}}{3 x}} x^{2}}{x^{2}-{\mathrm e}^{\frac{{\mathrm e}^{-x +6}}{3 x}} x +2 x -2 \,{\mathrm e}^{\frac{{\mathrm e}^{-x +6}}{3 x}}}$&$90$\\ \hline \end{longtable}"," ",0,"x-5/(2+x)-x^2/(x-exp(1/3*exp(-x+6)/x))","A"
4561,1,56,24,0.023000," ","int(1/8*((-8*x^5+160*x^3+295*x^2-75*x-50)*ln(x)^3+(640*x^5+100*x^3)*ln(x)^2+(400*x^6-640*x^5+100*x^4+100*x^3)*ln(x)-400*x^6)/x^5/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\frac{20}{x}+\frac{80 x}{\ln \left(x \right)}+\frac{25 x^{2}}{\ln \left(x \right)^{2}}-\frac{295}{16 x^{2}}-\frac{25}{2 \ln \left(x \right)}+\frac{25}{8 x^{3}}-\frac{25}{2 x \ln \left(x \right)}+\frac{25}{16 x^{4}}$&$56$\\ risch&$-\frac{16 x^{5}+320 x^{3}+295 x^{2}-50 x -25}{16 x^{4}}+\frac{25 x^{3}+80 x^{2} \ln \left(x \right)-\frac{25 x \ln \left(x \right)}{2}-\frac{25 \ln \left(x \right)}{2}}{x \ln \left(x \right)^{2}}$&$58$\\ \hline \end{longtable}"," ",0,"-x-20/x+80*x/ln(x)+25*x^2/ln(x)^2-295/16/x^2-25/2/ln(x)+25/8/x^3-25/2/x/ln(x)+25/16/x^4","B"
4562,1,56,19,0.025000," ","int((-4*ln(x)^2+(-4*x^2*exp(5/2)+4*x^6-2*x^3+20*x^2+2)*ln(x)+(8*x^8+2*x^5+2*x^2)*exp(5/2)+8*x^12+10*x^9-40*x^8+4*x^6-9*x^5+2*x^3-10*x^2)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{2}}{x^{4}}+\frac{2 \left(x^{4}+{\mathrm e}^{\frac{5}{2}}+x -5\right) \ln \left(x \right)}{x^{2}}+x^{8}+2 \,{\mathrm e}^{\frac{5}{2}} x^{4}+2 x^{5}-10 x^{4}+2 x \,{\mathrm e}^{\frac{5}{2}}+x^{2}-9 x$&$56$\\ default&$x^{8}+2 \,{\mathrm e}^{\frac{5}{2}} x^{4}+2 x^{5}-10 x^{4}+2 x^{2} \ln \left(x \right)+x^{2}+2 x \,{\mathrm e}^{\frac{5}{2}}-9 x -4 \,{\mathrm e}^{\frac{5}{2}} \left(-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)+\frac{2 \ln \left(x \right)}{x}-\frac{10 \ln \left(x \right)}{x^{2}}-\frac{{\mathrm e}^{\frac{5}{2}}}{x^{2}}+\frac{\ln \left(x \right)^{2}}{x^{4}}$&$86$\\ \hline \end{longtable}"," ",0,"1/x^4*ln(x)^2+2*(x^4+exp(5/2)+x-5)/x^2*ln(x)+x^8+2*exp(5/2)*x^4+2*x^5-10*x^4+2*x*exp(5/2)+x^2-9*x","B"
4563,1,230,26,0.053000," ","int(((-8*x^3*ln(2)+16*x^5+4*x^4)*ln(x)^3+(-48*x^2*ln(2)^2-72*x^3*ln(2)+192*x^6+240*x^5+48*x^4)*ln(x)^2+(-96*x*ln(2)^3+4*(-48*x^3-84*x^2)*ln(2)^2+2*(192*x^5+96*x^4-92*x^3)*ln(2)+768*x^7+1728*x^6+1136*x^5+188*x^4)*ln(x)-64*ln(2)^4+8*(-32*x^2-44*x)*ln(2)^3+4*(-144*x^3-140*x^2)*ln(2)^2+2*(512*x^6+960*x^5+384*x^4-52*x^3)*ln(2)+1024*x^8+3328*x^7+3776*x^6+1713*x^5+240*x^4)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{4}+\frac{8 \left(2 x^{2}+\ln \left(2\right)+2 x \right) \ln \left(x \right)^{3}}{x}+\frac{2 \left(48 x^{4}+48 x^{2} \ln \left(2\right)+96 x^{3}+12 \ln \left(2\right)^{2}+48 x \ln \left(2\right)+47 x^{2}\right) \ln \left(x \right)^{2}}{x^{2}}+\frac{8 \left(32 x^{6}+48 x^{4} \ln \left(2\right)+96 x^{5}+24 x^{2} \ln \left(2\right)^{2}+94 x^{4}+4 \ln \left(2\right)^{3}+24 x \ln \left(2\right)^{2}+47 x^{2} \ln \left(2\right)\right) \ln \left(x \right)}{x^{3}}+\frac{256 x^{8}+512 x^{6} \ln \left(2\right)+1024 x^{7}+768 \ln \left(x \right) \ln \left(2\right) x^{4}+1536 x^{5} \ln \left(2\right)+1504 x^{6}+240 x^{4} \ln \left(x \right)+128 x^{2} \ln \left(2\right)^{3}+768 x^{3} \ln \left(2\right)^{2}+961 x^{5}+16 \ln \left(2\right)^{4}+128 x \ln \left(2\right)^{3}+376 x^{2} \ln \left(2\right)^{2}+480 x^{3} \ln \left(2\right)}{x^{4}}$&$230$\\ default&$961 x +768 x^{2} \ln \left(x \right)+16 x \ln \left(x \right)^{3}+96 x^{2} \ln \left(x \right)^{2}+\ln \left(x \right)^{4}+16 \ln \left(x \right)^{3}+240 \ln \left(x \right)+94 \ln \left(x \right)^{2}+256 x^{4}+1024 x^{3}+1504 x^{2}+256 x^{3} \ln \left(x \right)+\frac{576 \ln \left(2\right)^{2}}{x}+\frac{280 \ln \left(2\right)^{2}}{x^{2}}+768 \ln \left(2\right) \ln \left(x \right)+\frac{104 \ln \left(2\right)}{x}+192 x \ln \left(x \right)^{2}+1920 x \ln \left(2\right)+512 x^{2} \ln \left(2\right)+96 \ln \left(2\right) \ln \left(x \right)^{2}+752 x \ln \left(x \right)+\frac{16 \ln \left(2\right)^{4}}{x^{4}}+\frac{128 \ln \left(2\right)^{3}}{x^{2}}-184 \ln \left(2\right) \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)-8 \ln \left(2\right) \left(-\frac{\ln \left(x \right)^{3}}{x}-\frac{3 \ln \left(x \right)^{2}}{x}-\frac{6 \ln \left(x \right)}{x}-\frac{6}{x}\right)-48 \ln \left(2\right)^{2} \left(-\frac{\ln \left(x \right)^{2}}{2 x^{2}}-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)-72 \ln \left(2\right) \left(-\frac{\ln \left(x \right)^{2}}{x}-\frac{2 \ln \left(x \right)}{x}-\frac{2}{x}\right)-192 \ln \left(2\right)^{2} \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)-96 \ln \left(2\right)^{3} \left(-\frac{\ln \left(x \right)}{3 x^{3}}-\frac{1}{9 x^{3}}\right)-336 \ln \left(2\right)^{2} \left(-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)+\frac{352 \ln \left(2\right)^{3}}{3 x^{3}}+384 \ln \left(2\right) \left(x \ln \left(x \right)-x \right)$&$335$\\ \hline \end{longtable}"," ",0,"ln(x)^4+8*(2*x^2+ln(2)+2*x)/x*ln(x)^3+2*(48*x^4+48*x^2*ln(2)+96*x^3+12*ln(2)^2+48*x*ln(2)+47*x^2)/x^2*ln(x)^2+8*(32*x^6+48*x^4*ln(2)+96*x^5+24*x^2*ln(2)^2+94*x^4+4*ln(2)^3+24*x*ln(2)^2+47*x^2*ln(2))/x^3*ln(x)+(256*x^8+512*x^6*ln(2)+1024*x^7+768*ln(x)*ln(2)*x^4+1536*x^5*ln(2)+1504*x^6+240*x^4*ln(x)+128*x^2*ln(2)^3+768*x^3*ln(2)^2+961*x^5+16*ln(2)^4+128*x*ln(2)^3+376*x^2*ln(2)^2+480*x^3*ln(2))/x^4","B"
4564,1,12,13,0.084000," ","int((4*x^3+4*x)*exp(x^4+2*x^2+1)*exp(exp(x^4+2*x^2+1))+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{{\mathrm e}^{\left(x^{2}+1\right)^{2}}}$&$12$\\ default&$x +{\mathrm e}^{{\mathrm e}^{x^{4}+2 x^{2}+1}}$&$15$\\ norman&$x +{\mathrm e}^{{\mathrm e}^{x^{4}+2 x^{2}+1}}$&$15$\\ \hline \end{longtable}"," ",0,"x+exp(exp((x^2+1)^2))","A"
4565,0,0,19,0.079000," ","int((((5*x^3+50*x^2+15)*ln(3)*ln(1/2*(-x^3-10*x^2-3)/x^2)+(15*x^3+150*x^2+45)*ln(3))*ln(ln(1/2*(-x^3-10*x^2-3)/x^2)+3)+(5*x^3-30)*ln(3))/((x^3+10*x^2+3)*ln(1/2*(-x^3-10*x^2-3)/x^2)+3*x^3+30*x^2+9),x)","\[\int \frac{\left(\left(5 x^{3}+50 x^{2}+15\right) \ln \left(3\right) \ln \left(\frac{-x^{3}-10 x^{2}-3}{2 x^{2}}\right)+\left(15 x^{3}+150 x^{2}+45\right) \ln \left(3\right)\right) \ln \left(\ln \left(\frac{-x^{3}-10 x^{2}-3}{2 x^{2}}\right)+3\right)+\left(5 x^{3}-30\right) \ln \left(3\right)}{\left(x^{3}+10 x^{2}+3\right) \ln \left(\frac{-x^{3}-10 x^{2}-3}{2 x^{2}}\right)+3 x^{3}+30 x^{2}+9}\, dx\]"," ",0,"int((((5*x^3+50*x^2+15)*ln(3)*ln(1/2*(-x^3-10*x^2-3)/x^2)+(15*x^3+150*x^2+45)*ln(3))*ln(ln(1/2*(-x^3-10*x^2-3)/x^2)+3)+(5*x^3-30)*ln(3))/((x^3+10*x^2+3)*ln(1/2*(-x^3-10*x^2-3)/x^2)+3*x^3+30*x^2+9),x)","F"
4566,1,25,22,0.038000," ","int(1/4*((-8+x)*exp(1/4*x)*ln(x)+((x^2-4*x)*exp(20)+4)*exp(1/4*x))*exp((exp(1/4*x)*ln(x)+x*exp(20)*exp(1/4*x))/x^2/exp(4))/x^3/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\frac{{\mathrm e}^{-4+\frac{x}{4}}}{x^{2}}} {\mathrm e}^{\frac{{\mathrm e}^{\frac{x}{4}+16}}{x}}$&$25$\\ \hline \end{longtable}"," ",0,"x^(1/x^2*exp(-4+1/4*x))*exp(1/x*exp(1/4*x+16))","A"
4567,1,42,19,0.429000," ","int(1/128*((-256*x*ln(5)*ln(x)-128*x*ln(5))*ln(4*x)^3+256*x*ln(5)*ln(x)*ln(4*x)^2+(8*x^3*ln(5)^2*ln(x)^2+4*x^3*ln(5)^2*ln(x))*ln(4*x)-8*x^3*ln(5)^2*ln(x)^2)/ln(4*x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(5\right) x^{2} \ln \left(x \right)}{\left(\ln \left(x \right)+2 \ln \left(2\right)\right)^{2}}+\frac{\ln \left(5\right)^{2} x^{4} \ln \left(x \right)^{2}}{64 \left(\ln \left(x \right)+2 \ln \left(2\right)\right)^{4}}$&$42$\\ risch&$-\frac{\ln \left(5\right) x^{2} \ln \left(x \right) \left(-x^{2} \ln \left(5\right) \ln \left(x \right)+256 \ln \left(2\right)^{2}+256 \ln \left(2\right) \ln \left(x \right)+64 \ln \left(x \right)^{2}\right)}{4 \left(4 \ln \left(2\right)+2 \ln \left(x \right)\right)^{4}}$&$49$\\ \hline \end{longtable}"," ",0,"-ln(5)*x^2*ln(x)/(ln(x)+2*ln(2))^2+1/64*ln(5)^2*x^4*ln(x)^2/(ln(x)+2*ln(2))^4","B"
4568,1,31,21,0.028000," ","int(((10*x^2+22*x)*ln(5*x+11)^2+(-20*x^3-44*x^2)*ln(5*x+11)+10*x^4+22*x^3+15*x+18)*exp((x^2*ln(5*x+11)-x^3+3)/(ln(5*x+11)-x))/((5*x+11)*ln(5*x+11)^2+(-10*x^2-22*x)*ln(5*x+11)+5*x^3+11*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-x^{2} \ln \left(5 x +11\right)+x^{3}-3}{-\ln \left(5 x +11\right)+x}}$&$31$\\ \hline \end{longtable}"," ",0,"exp((-x^2*ln(5*x+11)+x^3-3)/(-ln(5*x+11)+x))","A"
4569,1,60,27,0.153000," ","int(((4*(20*x^4+125*x^3+270*x^2+220*x+40)*ln(2)^2+2*(600*x^4+3750*x^3+8100*x^2+6600*x+1200)*ln(2)+4500*x^4+28125*x^3+60750*x^2+49500*x+9000)*exp(4*x)-250)/(4*(x^3+6*x^2+12*x+8)*ln(2)^2+2*(30*x^3+180*x^2+360*x+240)*ln(2)+225*x^3+1350*x^2+2700*x+1800),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{125}{4 \left(x^{2} \ln \left(2\right)^{2}+4 x \ln \left(2\right)^{2}+15 x^{2} \ln \left(2\right)+4 \ln \left(2\right)^{2}+60 x \ln \left(2\right)+\frac{225 x^{2}}{4}+60 \ln \left(2\right)+225 x +225\right)}+5 x \,{\mathrm e}^{4 x}$&$60$\\ norman&$\frac{\left(10 \ln \left(2\right)+75\right) x^{3} {\mathrm e}^{4 x}+\left(40 \ln \left(2\right)+300\right) x \,{\mathrm e}^{4 x}+\left(40 \ln \left(2\right)+300\right) x^{2} {\mathrm e}^{4 x}+\frac{125}{2 \ln \left(2\right)+15}}{\left(2+x \right)^{2} \left(2 \ln \left(2\right)+15\right)}$&$66$\\ derivativedivides&$\frac{2000}{\left(4 \ln \left(2\right)^{2}+60 \ln \left(2\right)+225\right) \left(4 x +8\right)^{2}}+\frac{1125 \,{\mathrm e}^{4 x} x}{4 \ln \left(2\right)^{2}+60 \ln \left(2\right)+225}+\frac{300 \ln \left(2\right) {\mathrm e}^{4 x} x}{4 \ln \left(2\right)^{2}+60 \ln \left(2\right)+225}+\frac{20 \ln \left(2\right)^{2} {\mathrm e}^{4 x} x}{4 \ln \left(2\right)^{2}+60 \ln \left(2\right)+225}$&$94$\\ default&$\frac{2000}{\left(4 \ln \left(2\right)^{2}+60 \ln \left(2\right)+225\right) \left(4 x +8\right)^{2}}+\frac{1125 \,{\mathrm e}^{4 x} x}{4 \ln \left(2\right)^{2}+60 \ln \left(2\right)+225}+\frac{300 \ln \left(2\right) {\mathrm e}^{4 x} x}{4 \ln \left(2\right)^{2}+60 \ln \left(2\right)+225}+\frac{20 \ln \left(2\right)^{2} {\mathrm e}^{4 x} x}{4 \ln \left(2\right)^{2}+60 \ln \left(2\right)+225}$&$94$\\ \hline \end{longtable}"," ",0,"125/4/(x^2*ln(2)^2+4*x*ln(2)^2+15*x^2*ln(2)+4*ln(2)^2+60*x*ln(2)+225/4*x^2+60*ln(2)+225*x+225)+5*x*exp(4*x)","B"
4570,1,13,29,0.020000," ","int((4*x^2+3*x+4)/(x^3+2*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(x \right)+\frac{5}{x +1}$&$13$\\ norman&$4 \ln \left(x \right)+\frac{5}{x +1}$&$13$\\ risch&$4 \ln \left(x \right)+\frac{5}{x +1}$&$13$\\ \hline \end{longtable}"," ",0,"4*ln(x)+5/(x+1)","A"
4571,1,26,23,0.031000," ","int((((2*x-1)*exp((x*exp(6)^2+1)/x)*ln(x)+(-2*x^5+x^4-2*x^2+x)*exp((x*exp(6)^2+1)/x))*ln(-ln(x)+x^4+x)+(-4*x^5-x^2+x)*exp((x*exp(6)^2+1)/x))/(ln(x)-x^4-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{\frac{x \,{\mathrm e}^{12}+1}{x}} \ln \left(-\ln \left(x \right)+x^{4}+x \right)$&$26$\\ \hline \end{longtable}"," ",0,"x^2*exp((x*exp(12)+1)/x)*ln(-ln(x)+x^4+x)","A"
4572,1,12,20,0.194000," ","int((-x^2+8*x-36)/(x^2-8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\frac{20}{x -4}$&$12$\\ risch&$-x +\frac{20}{x -4}$&$12$\\ gosper&$-\frac{x^{2}-36}{x -4}$&$13$\\ meijerg&$-\frac{x}{4 \left(-\frac{x}{4}+1\right)}-\frac{x \left(-\frac{3 x}{4}+6\right)}{3 \left(-\frac{x}{4}+1\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-x+20/(x-4)","A"
4573,1,16,17,0.050000," ","int(((6*x-6)*exp(2*x/exp(x))+3*exp(x))/exp(exp(2*x/exp(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$3 \,{\mathrm e}^{x} {\mathrm e}^{-{\mathrm e}^{2 x \,{\mathrm e}^{-x}}}$&$16$\\ risch&$3 \,{\mathrm e}^{x -{\mathrm e}^{2 x \,{\mathrm e}^{-x}}}$&$16$\\ \hline \end{longtable}"," ",0,"3*exp(x)/exp(exp(2*x/exp(x)))","A"
4574,1,25,16,0.030000," ","int((-exp(1)^4+24*exp(1)^3-216*exp(1)^2+864*exp(1)-x-1293)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-{\mathrm e}^{4}+24 \,{\mathrm e}^{3}-216 \,{\mathrm e}^{2}+864 \,{\mathrm e}-x -1292\right) {\mathrm e}^{x}$&$25$\\ gosper&$-{\mathrm e}^{x} \left(x +{\mathrm e}^{4}-24 \,{\mathrm e}^{3}+216 \,{\mathrm e}^{2}-864 \,{\mathrm e}+1292\right)$&$28$\\ norman&$\left(-{\mathrm e}^{4}+24 \,{\mathrm e}^{3}-216 \,{\mathrm e}^{2}+864 \,{\mathrm e}-1292\right) {\mathrm e}^{x}-{\mathrm e}^{x} x$&$34$\\ default&$864 \,{\mathrm e} \,{\mathrm e}^{x}-216 \,{\mathrm e}^{2} {\mathrm e}^{x}-{\mathrm e}^{x} x -1292 \,{\mathrm e}^{x}+24 \,{\mathrm e}^{x} {\mathrm e}^{3}-{\mathrm e}^{4} {\mathrm e}^{x}$&$41$\\ meijerg&${\mathrm e}^{4} \left(1-{\mathrm e}^{x}\right)-24 \,{\mathrm e}^{3} \left(1-{\mathrm e}^{x}\right)+216 \,{\mathrm e}^{2} \left(1-{\mathrm e}^{x}\right)-864 \left(1-{\mathrm e}^{x}\right) {\mathrm e}+1292+\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}-1293 \,{\mathrm e}^{x}$&$55$\\ \hline \end{longtable}"," ",0,"(-exp(4)+24*exp(3)-216*exp(2)+864*exp(1)-x-1292)*exp(x)","A"
4575,1,21,21,0.223000," ","int(((-15*x^3+60*x)*exp(x)*ln((-x^2+4)/x^2)-120*exp(x)-x^3+4*x)/(15*x^3-60*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{15}-\ln \left(\frac{-x^{2}+4}{x^{2}}\right) {\mathrm e}^{x}$&$21$\\ norman&$-\frac{x}{15}-\ln \left(\frac{-x^{2}+4}{x^{2}}\right) {\mathrm e}^{x}$&$21$\\ risch&$-{\mathrm e}^{x} \ln \left(x^{2}-4\right)+2 \,{\mathrm e}^{x} \ln \left(x \right)-\frac{x}{15}-\frac{i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}}{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}-\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}}{2}+\frac{i {\mathrm e}^{x} \pi  \,\mathrm{csgn}\left(i \left(x^{2}-4\right)\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x^{2}}\right)}{2}-\frac{i {\mathrm e}^{x} \pi  \,\mathrm{csgn}\left(i \left(x^{2}-4\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x^{2}}\right)^{2}}{2}+i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x^{2}}\right)^{2}-\frac{i {\mathrm e}^{x} \pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x^{2}}\right)^{2}}{2}-\frac{i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x^{2}}\right)^{3}}{2}-i {\mathrm e}^{x} \pi$&$212$\\ \hline \end{longtable}"," ",0,"-1/15*x-ln((-x^2+4)/x^2)*exp(x)","A"
4576,1,24,22,0.085000," ","int(((-6*x^2+17*x-7)*ln(3*x-7)+(6*x^2-17*x+7)*ln(6)+15*x^2-37*x+17)/(3*x^5-13*x^4+23*x^3-27*x^2+17*x-7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(3 x -7\right)-\ln \left(6\right)-2}{x^{2}-x +1}$&$24$\\ risch&$\frac{\ln \left(3 x -7\right)}{x^{2}-x +1}-\frac{\ln \left(3\right)}{x^{2}-x +1}-\frac{\ln \left(2\right)}{x^{2}-x +1}-\frac{2}{x^{2}-x +1}$&$59$\\ derivativedivides&$-\frac{9 \ln \left(6\right)}{\left(3 x -7\right)^{2}+33 x -40}-\frac{9 \ln \left(3 x -7\right) \left(3 x -7\right) \left(4+3 x \right)}{37 \left(\left(3 x -7\right)^{2}+33 x -40\right)}-\frac{18}{\left(3 x -7\right)^{2}+33 x -40}+\frac{9 \ln \left(3 x -7\right)}{37}$&$76$\\ default&$-\frac{9 \ln \left(6\right)}{\left(3 x -7\right)^{2}+33 x -40}-\frac{9 \ln \left(3 x -7\right) \left(3 x -7\right) \left(4+3 x \right)}{37 \left(\left(3 x -7\right)^{2}+33 x -40\right)}-\frac{18}{\left(3 x -7\right)^{2}+33 x -40}+\frac{9 \ln \left(3 x -7\right)}{37}$&$76$\\ \hline \end{longtable}"," ",0,"(ln(3*x-7)-ln(6)-2)/(x^2-x+1)","A"
4577,1,21,15,0.041000," ","int(((2*x^3+3*x^2)*exp(2*x)+3*x^2*exp(3))/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{2 x} x^{3}+x^{3} {\mathrm e}^{3}}{\ln \left(5\right)}$&$21$\\ derivativedivides&$\frac{8 x^{3} {\mathrm e}^{3}+8 \,{\mathrm e}^{2 x} x^{3}}{8 \ln \left(5\right)}$&$24$\\ norman&$\frac{x^{3} {\mathrm e}^{2 x}}{\ln \left(5\right)}+\frac{{\mathrm e}^{3} x^{3}}{\ln \left(5\right)}$&$24$\\ risch&$\frac{x^{3} {\mathrm e}^{2 x}}{\ln \left(5\right)}+\frac{{\mathrm e}^{3} x^{3}}{\ln \left(5\right)}$&$24$\\ \hline \end{longtable}"," ",0,"1/ln(5)*(exp(2*x)*x^3+x^3*exp(3))","A"
4578,1,22,22,0.074000," ","int(((4*x^2+80)*ln(-x/ln(5))-4*x^2-16*x+80)/(x^4+8*x^3-24*x^2-160*x+400),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4 x \ln \left(-\frac{x}{\ln \left(5\right)}\right)}{x^{2}+4 x -20}$&$22$\\ risch&$-\frac{4 x \ln \left(-\frac{x}{\ln \left(5\right)}\right)}{x^{2}+4 x -20}$&$22$\\ derivativedivides&$-\ln \left(5\right) \left(-\frac{\ln \left(-\frac{x}{\ln \left(5\right)}\right) \left(\ln \left(-\frac{-x -2 \sqrt{6}-2}{2 \left(\sqrt{6}+1\right)}\right) \sqrt{6}\, x^{2}-\ln \left(\frac{-x +2 \sqrt{6}-2}{2 \sqrt{6}-2}\right) \sqrt{6}\, x^{2}+4 \ln \left(-\frac{-x -2 \sqrt{6}-2}{2 \left(\sqrt{6}+1\right)}\right) \sqrt{6}\, x -4 \ln \left(\frac{-x +2 \sqrt{6}-2}{2 \sqrt{6}-2}\right) \sqrt{6}\, x -24 x -20 \sqrt{6}\, \ln \left(-\frac{-x -2 \sqrt{6}-2}{2 \left(\sqrt{6}+1\right)}\right)+20 \sqrt{6}\, \ln \left(\frac{-x +2 \sqrt{6}-2}{2 \sqrt{6}-2}\right)\right)}{6 \left(x^{2}+4 x -20\right) \ln \left(5\right)}+\frac{\sqrt{6}\, \ln \left(-\frac{x}{\ln \left(5\right)}\right) \left(\ln \left(-\frac{-x -2 \sqrt{6}-2}{2 \left(\sqrt{6}+1\right)}\right)-\ln \left(\frac{-x +2 \sqrt{6}-2}{2 \sqrt{6}-2}\right)\right)}{6 \ln \left(5\right)}\right)$&$251$\\ default&$-\ln \left(5\right) \left(-\frac{\ln \left(-\frac{x}{\ln \left(5\right)}\right) \left(\ln \left(-\frac{-x -2 \sqrt{6}-2}{2 \left(\sqrt{6}+1\right)}\right) \sqrt{6}\, x^{2}-\ln \left(\frac{-x +2 \sqrt{6}-2}{2 \sqrt{6}-2}\right) \sqrt{6}\, x^{2}+4 \ln \left(-\frac{-x -2 \sqrt{6}-2}{2 \left(\sqrt{6}+1\right)}\right) \sqrt{6}\, x -4 \ln \left(\frac{-x +2 \sqrt{6}-2}{2 \sqrt{6}-2}\right) \sqrt{6}\, x -24 x -20 \sqrt{6}\, \ln \left(-\frac{-x -2 \sqrt{6}-2}{2 \left(\sqrt{6}+1\right)}\right)+20 \sqrt{6}\, \ln \left(\frac{-x +2 \sqrt{6}-2}{2 \sqrt{6}-2}\right)\right)}{6 \left(x^{2}+4 x -20\right) \ln \left(5\right)}+\frac{\sqrt{6}\, \ln \left(-\frac{x}{\ln \left(5\right)}\right) \left(\ln \left(-\frac{-x -2 \sqrt{6}-2}{2 \left(\sqrt{6}+1\right)}\right)-\ln \left(\frac{-x +2 \sqrt{6}-2}{2 \sqrt{6}-2}\right)\right)}{6 \ln \left(5\right)}\right)$&$251$\\ \hline \end{longtable}"," ",0,"-4*x*ln(-x/ln(5))/(x^2+4*x-20)","A"
4579,1,23,25,0.040000," ","int(((4*x^2-6*x-2)*exp(x)+8*x)*ln(1/2*ln(exp(x)*(x-2)+2)+1/2*x^2+2)*exp(ln(1/2*ln(exp(x)*(x-2)+2)+1/2*x^2+2)^2)/((exp(x)*(x-2)+2)*ln(exp(x)*(x-2)+2)+(x^3-2*x^2+4*x-8)*exp(x)+2*x^2+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\ln \left(\frac{\ln \left({\mathrm e}^{x} \left(x -2\right)+2\right)}{2}+\frac{x^{2}}{2}+2\right)^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"exp(ln(1/2*ln(exp(x)*(x-2)+2)+1/2*x^2+2)^2)","A"
4580,1,18,24,0.068000," ","int(((-x^2-25*x-3)*exp(1)*ln(x^2+25*x+3)^2+(4*x^2+50*x)*exp(1)*ln(x^2+25*x+3))/(x^4+25*x^3+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e} \ln \left(x^{2}+25 x +3\right)^{2}}{x}$&$18$\\ risch&$\frac{{\mathrm e} \ln \left(x^{2}+25 x +3\right)^{2}}{x}$&$18$\\ \hline \end{longtable}"," ",0,"exp(1)*ln(x^2+25*x+3)^2/x","A"
4581,1,16,15,0.125000," ","int(((4*ln(3/16/x)^2-3*x)*ln(ln(3/16/x)^2-3/4*x)-8*ln(3/16/x)-3*x)/(4*ln(3/16/x)^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\ln \left(\frac{3}{16 x}\right)^{2}-\frac{3 x}{4}\right)$&$16$\\ \hline \end{longtable}"," ",0,"x*ln(ln(3/16/x)^2-3/4*x)","A"
4582,1,28,18,0.027000," ","int((8*exp(12)^2*ln(2)^2+16*exp(12)*ln(2)+8)*exp(x)^2/exp(12)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$4 \left({\mathrm e}^{24} \ln \left(2\right)^{2}+2 \,{\mathrm e}^{12} \ln \left(2\right)+1\right) {\mathrm e}^{2 x} {\mathrm e}^{-24}$&$28$\\ default&$4 \left({\mathrm e}^{24} \ln \left(2\right)^{2}+2 \,{\mathrm e}^{12} \ln \left(2\right)+1\right) {\mathrm e}^{2 x} {\mathrm e}^{-24}$&$28$\\ norman&$4 \left({\mathrm e}^{24} \ln \left(2\right)^{2}+2 \,{\mathrm e}^{12} \ln \left(2\right)+1\right) {\mathrm e}^{2 x} {\mathrm e}^{-24}$&$28$\\ derivativedivides&$\frac{\left(8 \,{\mathrm e}^{24} \ln \left(2\right)^{2}+16 \,{\mathrm e}^{12} \ln \left(2\right)+8\right) {\mathrm e}^{2 x} {\mathrm e}^{-24}}{2}$&$29$\\ risch&$4 \ln \left(2\right)^{2} {\mathrm e}^{24} {\mathrm e}^{2 x -24}+8 \,{\mathrm e}^{12} \ln \left(2\right) {\mathrm e}^{2 x -24}+4 \,{\mathrm e}^{2 x -24}$&$36$\\ meijerg&$-4 \ln \left(2\right)^{2} \left(1-{\mathrm e}^{2 x}\right)-8 \,{\mathrm e}^{-12} \ln \left(2\right) \left(1-{\mathrm e}^{2 x}\right)-4 \,{\mathrm e}^{-24} \left(1-{\mathrm e}^{2 x}\right)$&$42$\\ \hline \end{longtable}"," ",0,"4*(exp(12)^2*ln(2)^2+2*exp(12)*ln(2)+1)*exp(x)^2/exp(12)^2","A"
4583,1,25,23,0.218000," ","int(((25*exp(x)*ln(5)+100*ln(5))*ln(12/(exp(x)+4))+(450*ln(5)^2+50*x*ln(5))*exp(x))/(exp(x)+4)/ln(12/(exp(x)+4))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{25 x \ln \left(5\right)+225 \ln \left(5\right)^{2}}{\ln \left(\frac{12}{{\mathrm e}^{x}+4}\right)^{2}}$&$25$\\ norman&$\frac{25 x \ln \left(5\right)+225 \ln \left(5\right)^{2}}{\ln \left(\frac{12}{{\mathrm e}^{x}+4}\right)^{2}}$&$25$\\ risch&$-\frac{100 \ln \left(5\right) \left(9 \ln \left(5\right)+x \right)}{\left(2 i \ln \left(3\right)+4 i \ln \left(2\right)-2 i \ln \left({\mathrm e}^{x}+4\right)\right)^{2}}$&$32$\\ \hline \end{longtable}"," ",0,"(25*x*ln(5)+225*ln(5)^2)/ln(12/(exp(x)+4))^2","A"
4584,1,1142,34,0.660000," ","int((((48*x^2*ln(2)-48*x^3-144*x)*exp(3*x)^2+((-48*x^4-32*x^3)*ln(2)+48*x^5+32*x^4+144*x^3+96*x^2)*exp(3*x)+32*x^5*ln(2)-32*x^6-96*x^4)*ln((-x*ln(2)+x^2+3)/x)^2+(-8*x^2+24)*ln((-x*ln(2)+x^2+3)/x))*exp(exp(3*x)^2-2*x^2*exp(3*x)+x^4)^2/(x^2*ln(2)-x^3-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-4 \pi^{2}+4 \ln \left(x \right)^{2}+2 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \ln \left(2\right)-x^{2}-3\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \ln \left(2\right)-x^{2}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{3}+8 i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{2}-8 i \ln \left(x \ln \left(2\right)-x^{2}-3\right) \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{2}-4 i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{3}+4 i \ln \left(x \ln \left(2\right)-x^{2}-3\right) \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{3}+4 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \ln \left(2\right)-x^{2}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)-\pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \left(x \ln \left(2\right)-x^{2}-3\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \left(x \ln \left(2\right)-x^{2}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{3}+4 \pi^{2} \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{5}-4 \pi^{2} \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{4}-4 \pi^{2} \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{3}-\pi^{2} \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{6}+8 \pi^{2} \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{2}-8 \ln \left(x \right) \ln \left(x \ln \left(2\right)-x^{2}-3\right)-4 i \ln \left(x \ln \left(2\right)-x^{2}-3\right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \ln \left(2\right)-x^{2}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)+4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \ln \left(2\right)-x^{2}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)-8 i \pi  \ln \left(x \right)+8 i \pi  \ln \left(x \ln \left(2\right)-x^{2}-3\right)-2 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{5}-2 \pi^{2} \mathrm{csgn}\left(i \left(x \ln \left(2\right)-x^{2}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{5}-\pi^{2} \mathrm{csgn}\left(i \left(x \ln \left(2\right)-x^{2}-3\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{4}-4 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{2}-4 \pi^{2} \mathrm{csgn}\left(i \left(x \ln \left(2\right)-x^{2}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{2}-\pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{4}+4 \pi^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{4}+4 \pi^{2} \mathrm{csgn}\left(i \left(x \ln \left(2\right)-x^{2}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{4}+4 \ln \left(x \ln \left(2\right)-x^{2}-3\right)^{2}-4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{2}+4 i \ln \left(x \ln \left(2\right)-x^{2}-3\right) \pi  \,\mathrm{csgn}\left(i \left(x \ln \left(2\right)-x^{2}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{2}-4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i \left(x \ln \left(2\right)-x^{2}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{2}+4 i \ln \left(x \ln \left(2\right)-x^{2}-3\right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \ln \left(2\right)-x^{2}-3\right)}{x}\right)^{2}\right) {\mathrm e}^{2 \,{\mathrm e}^{6 x}-4 x^{2} {\mathrm e}^{3 x}+2 x^{4}}$&$1142$\\ \hline \end{longtable}"," ",0,"(-4*Pi^2+4*ln(x)^2+4*Pi^2*csgn(I/x)*csgn(I*(x*ln(2)-x^2-3))*csgn(I/x*(x*ln(2)-x^2-3))-Pi^2*csgn(I/x)^2*csgn(I*(x*ln(2)-x^2-3))^2*csgn(I/x*(x*ln(2)-x^2-3))^2+2*Pi^2*csgn(I/x)^2*csgn(I*(x*ln(2)-x^2-3))*csgn(I/x*(x*ln(2)-x^2-3))^3+2*Pi^2*csgn(I/x)*csgn(I*(x*ln(2)-x^2-3))^2*csgn(I/x*(x*ln(2)-x^2-3))^3-4*Pi^2*csgn(I/x)*csgn(I*(x*ln(2)-x^2-3))*csgn(I/x*(x*ln(2)-x^2-3))^3+8*I*ln(x)*Pi*csgn(I/x*(x*ln(2)-x^2-3))^2-8*I*ln(x*ln(2)-x^2-3)*Pi*csgn(I/x*(x*ln(2)-x^2-3))^2-8*I*Pi*ln(x)+8*I*Pi*ln(x*ln(2)-x^2-3)-8*ln(x)*ln(x*ln(2)-x^2-3)+4*Pi^2*csgn(I/x*(x*ln(2)-x^2-3))^5-4*Pi^2*csgn(I/x*(x*ln(2)-x^2-3))^4-4*Pi^2*csgn(I/x*(x*ln(2)-x^2-3))^3-Pi^2*csgn(I/x*(x*ln(2)-x^2-3))^6-4*I*ln(x*ln(2)-x^2-3)*Pi*csgn(I/x)*csgn(I*(x*ln(2)-x^2-3))*csgn(I/x*(x*ln(2)-x^2-3))-4*I*ln(x)*Pi*csgn(I/x*(x*ln(2)-x^2-3))^3+4*I*ln(x*ln(2)-x^2-3)*Pi*csgn(I/x*(x*ln(2)-x^2-3))^3-2*Pi^2*csgn(I/x)*csgn(I/x*(x*ln(2)-x^2-3))^5-2*Pi^2*csgn(I*(x*ln(2)-x^2-3))*csgn(I/x*(x*ln(2)-x^2-3))^5-Pi^2*csgn(I*(x*ln(2)-x^2-3))^2*csgn(I/x*(x*ln(2)-x^2-3))^4-4*Pi^2*csgn(I/x)*csgn(I/x*(x*ln(2)-x^2-3))^2-4*Pi^2*csgn(I*(x*ln(2)-x^2-3))*csgn(I/x*(x*ln(2)-x^2-3))^2-Pi^2*csgn(I/x)^2*csgn(I/x*(x*ln(2)-x^2-3))^4+4*Pi^2*csgn(I/x)*csgn(I/x*(x*ln(2)-x^2-3))^4+4*Pi^2*csgn(I*(x*ln(2)-x^2-3))*csgn(I/x*(x*ln(2)-x^2-3))^4+4*ln(x*ln(2)-x^2-3)^2+4*I*ln(x)*Pi*csgn(I/x)*csgn(I*(x*ln(2)-x^2-3))*csgn(I/x*(x*ln(2)-x^2-3))+8*Pi^2*csgn(I/x*(x*ln(2)-x^2-3))^2-4*I*ln(x)*Pi*csgn(I/x)*csgn(I/x*(x*ln(2)-x^2-3))^2+4*I*ln(x*ln(2)-x^2-3)*Pi*csgn(I*(x*ln(2)-x^2-3))*csgn(I/x*(x*ln(2)-x^2-3))^2-4*I*ln(x)*Pi*csgn(I*(x*ln(2)-x^2-3))*csgn(I/x*(x*ln(2)-x^2-3))^2+4*I*ln(x*ln(2)-x^2-3)*Pi*csgn(I/x)*csgn(I/x*(x*ln(2)-x^2-3))^2)*exp(2*exp(6*x)-4*x^2*exp(3*x)+2*x^4)","C"
4585,1,13,19,0.030000," ","int(3/2*exp(exp(1))*exp(2*ln(2)+11-3*x)/exp(1/2*exp(2*ln(2)+11-3*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}-2 \,{\mathrm e}^{11-3 x}}$&$13$\\ derivativedivides&${\mathrm e}^{{\mathrm e}} {\mathrm e}^{-2 \,{\mathrm e}^{11-3 x}}$&$20$\\ default&${\mathrm e}^{{\mathrm e}} {\mathrm e}^{-2 \,{\mathrm e}^{11-3 x}}$&$20$\\ norman&${\mathrm e}^{{\mathrm e}} {\mathrm e}^{-2 \,{\mathrm e}^{11-3 x}}$&$20$\\ \hline \end{longtable}"," ",0,"exp(exp(1)-2*exp(11-3*x))","A"
4586,1,197,35,0.051000," ","int(1/6*((960*x^3-7200*x^2+18000*x-15000)*ln(x)^4+(-768*x^6+3648*x^5+384*x^4-20640*x^3+20400*x^2-1500*x+15000)*ln(x)^3+(2304*x^8-15552*x^7+30816*x^6-4896*x^5-37440*x^4+36900*x^3-20250*x^2-22500*x)*ln(x)^2+(-2304*x^10+16320*x^9-34560*x^8+5328*x^7+53328*x^6-37980*x^5-16200*x^4+28875*x^3+11250*x^2)*ln(x)-2*x^3*ln(3)+768*x^12-5376*x^11+10560*x^10+2304*x^9-22224*x^8+5952*x^7+16380*x^6-4806*x^5-8250*x^4-1875*x^3)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(16 x^{4}-160 x^{3}+600 x^{2}-1000 x +625\right) \ln \left(x \right)^{4}}{x^{4}}-\frac{2 \left(32 x^{5}-304 x^{4}+1040 x^{3}-1400 x^{2}+250 x +625\right) \ln \left(x \right)^{3}}{x^{3}}+\frac{3 \left(64 x^{6}-576 x^{5}+1776 x^{4}-1760 x^{3}-900 x^{2}+1500 x +625\right) \ln \left(x \right)^{2}}{2 x^{2}}-\frac{\left(128 x^{7}-1088 x^{6}+2976 x^{5}-1744 x^{4}-3560 x^{3}+2100 x^{2}+625\right) \ln \left(x \right)}{2 x}-\frac{-48 x^{9}+384 x^{8}-912 x^{7}+96 x^{6}+1662 x^{5}-120 x^{4}-1425 x^{3}+4125 x \ln \left(x \right)-747 x^{2}-\ln \left(3\right)}{3 x}$&$197$\\ default&$249 x +1780 x^{2} \ln \left(x \right)+608 x \ln \left(x \right)^{3}+2664 x^{2} \ln \left(x \right)^{2}-\frac{625 \ln \left(x \right)}{2 x}-128 x^{7}+16 x^{8}+16 \ln \left(x \right)^{4}-2080 \ln \left(x \right)^{3}-1375 \ln \left(x \right)-1350 \ln \left(x \right)^{2}+304 x^{6}-32 x^{5}-554 x^{4}+40 x^{3}+475 x^{2}+872 x^{3} \ln \left(x \right)-64 x^{6} \ln \left(x \right)+\frac{2250 \ln \left(x \right)^{2}}{x}+544 x^{5} \ln \left(x \right)+96 x^{4} \ln \left(x \right)^{2}-1488 x^{4} \ln \left(x \right)-2640 x \ln \left(x \right)^{2}-1050 x \ln \left(x \right)+\frac{1875 \ln \left(x \right)^{2}}{2 x^{2}}-64 x^{2} \ln \left(x \right)^{3}-864 x^{3} \ln \left(x \right)^{2}+\frac{\ln \left(3\right)}{3 x}-\frac{1000 \ln \left(x \right)^{4}}{x^{3}}-\frac{500 \ln \left(x \right)^{3}}{x^{2}}+\frac{600 \ln \left(x \right)^{4}}{x^{2}}+\frac{625 \ln \left(x \right)^{4}}{x^{4}}-\frac{1250 \ln \left(x \right)^{3}}{x^{3}}-\frac{160 \ln \left(x \right)^{4}}{x}+\frac{2800 \ln \left(x \right)^{3}}{x}$&$247$\\ \hline \end{longtable}"," ",0,"(16*x^4-160*x^3+600*x^2-1000*x+625)/x^4*ln(x)^4-2*(32*x^5-304*x^4+1040*x^3-1400*x^2+250*x+625)/x^3*ln(x)^3+3/2*(64*x^6-576*x^5+1776*x^4-1760*x^3-900*x^2+1500*x+625)/x^2*ln(x)^2-1/2*(128*x^7-1088*x^6+2976*x^5-1744*x^4-3560*x^3+2100*x^2+625)/x*ln(x)-1/3*(-48*x^9+384*x^8-912*x^7+96*x^6+1662*x^5-120*x^4-1425*x^3+4125*x*ln(x)-747*x^2-ln(3))/x","B"
4587,1,16,19,0.354000," ","int((32*x^2+64*x)*exp(exp(3)+x)/(64*x^4*exp(exp(3)+x)^2-64*x^2*ln(2)*exp(exp(3)+x)+16*ln(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1}{-2 x^{2} {\mathrm e}^{{\mathrm e}^{3}+x}+\ln \left(2\right)}$&$16$\\ risch&$\frac{1}{-2 x^{2} {\mathrm e}^{{\mathrm e}^{3}+x}+\ln \left(2\right)}$&$16$\\ \hline \end{longtable}"," ",0,"1/(-2*x^2*exp(exp(3)+x)+ln(2))","A"
4588,1,25,21,0.175000," ","int((4*x*exp(3)*exp(x)-8*exp(3)+4)/(x^2+2*x+1)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-4 \left(2 \,{\mathrm e}^{3}-1\right) {\mathrm e}^{-3} x +4 \,{\mathrm e}^{x}}{x +1}$&$25$\\ risch&$\frac{8 \,{\mathrm e}^{-3} {\mathrm e}^{3}}{x +1}-\frac{4 \,{\mathrm e}^{-3}}{x +1}+\frac{4 \,{\mathrm e}^{x}}{x +1}$&$31$\\ default&$4 \,{\mathrm e}^{-3} \left(-\frac{1}{x +1}+\frac{{\mathrm e}^{3} {\mathrm e}^{x}}{x +1}+\frac{2 \,{\mathrm e}^{3}}{x +1}\right)$&$34$\\ \hline \end{longtable}"," ",0,"(-4*(2*exp(3)-1)/exp(3)*x+4*exp(x))/(x+1)","A"
4589,1,67,31,0.159000," ","int(((((2*x-9)*exp(5)+2*x^2-9*x)*ln(5)+(-3*x^2+16*x+9)*exp(5)-3*x^3+16*x^2+9*x)*ln(exp(5)+x)^3+((12*exp(5)+12*x)*ln(5)+(-24*x-12)*exp(5)-24*x^2-12*x)*ln(exp(5)+x)^2+((-4*exp(5)-16*x)*ln(5)+(8*x+4)*exp(5)+20*x^2+16*x)*ln(exp(5)+x)+8*x*ln(5)-8*x^2-8*x)/(exp(5)+x)/ln(exp(5)+x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(5\right)-x^{3}-9 x \ln \left(5\right)+8 x^{2}+9 x +\frac{4 x \left(3 \ln \left({\mathrm e}^{5}+x \right) \ln \left(5\right)-3 \ln \left({\mathrm e}^{5}+x \right) x -\ln \left(5\right)+x -3 \ln \left({\mathrm e}^{5}+x \right)+1\right)}{\ln \left({\mathrm e}^{5}+x \right)^{2}}$&$67$\\ norman&$\frac{\left(4-4 \ln \left(5\right)\right) x +\left(-12+12 \ln \left(5\right)\right) x \ln \left({\mathrm e}^{5}+x \right)+\left(8+\ln \left(5\right)\right) x^{2} \ln \left({\mathrm e}^{5}+x \right)^{2}+\left(-9 \ln \left(5\right)+9\right) x \ln \left({\mathrm e}^{5}+x \right)^{2}+4 x^{2}-x^{3} \ln \left({\mathrm e}^{5}+x \right)^{2}-12 \ln \left({\mathrm e}^{5}+x \right) x^{2}}{\ln \left({\mathrm e}^{5}+x \right)^{2}}$&$88$\\ derivativedivides&$9 x -\left({\mathrm e}^{5}+x \right)^{3}+9 \,{\mathrm e}^{5}+8 \left({\mathrm e}^{5}+x \right)^{2}-3 \,{\mathrm e}^{10} \left({\mathrm e}^{5}+x \right)+\frac{4 \,{\mathrm e}^{10}}{\ln \left({\mathrm e}^{5}+x \right)^{2}}-\frac{12 \,{\mathrm e}^{10}}{\ln \left({\mathrm e}^{5}+x \right)}+8 \ln \left(5\right) \left(-\frac{{\mathrm e}^{5}+x}{2 \ln \left({\mathrm e}^{5}+x \right)^{2}}-\frac{{\mathrm e}^{5}+x}{2 \ln \left({\mathrm e}^{5}+x \right)}-\frac{\expIntegralEi \left(1, -\ln \left({\mathrm e}^{5}+x \right)\right)}{2}\right)+16 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{5}+x}{2 \ln \left({\mathrm e}^{5}+x \right)^{2}}-\frac{{\mathrm e}^{5}+x}{2 \ln \left({\mathrm e}^{5}+x \right)}-\frac{\expIntegralEi \left(1, -\ln \left({\mathrm e}^{5}+x \right)\right)}{2}\right)-24 \,{\mathrm e}^{5} \expIntegralEi \left(1, -\ln \left({\mathrm e}^{5}+x \right)\right)-12 \ln \left(5\right) \expIntegralEi \left(1, -\ln \left({\mathrm e}^{5}+x \right)\right)-32 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{5}+x}{\ln \left({\mathrm e}^{5}+x \right)}-\expIntegralEi \left(1, -\ln \left({\mathrm e}^{5}+x \right)\right)\right)-16 \ln \left(5\right) \left(-\frac{{\mathrm e}^{5}+x}{\ln \left({\mathrm e}^{5}+x \right)}-\expIntegralEi \left(1, -\ln \left({\mathrm e}^{5}+x \right)\right)\right)+\ln \left(5\right) \left({\mathrm e}^{5}+x \right)^{2}-9 \left({\mathrm e}^{5}+x \right) \ln \left(5\right)-16 \,{\mathrm e}^{5} \left({\mathrm e}^{5}+x \right)-\frac{12 \left({\mathrm e}^{5}+x \right)}{\ln \left({\mathrm e}^{5}+x \right)}+3 \,{\mathrm e}^{5} \left({\mathrm e}^{5}+x \right)^{2}-\frac{12 \left({\mathrm e}^{5}+x \right)^{2}}{\ln \left({\mathrm e}^{5}+x \right)}+\frac{4 \left({\mathrm e}^{5}+x \right)^{2}}{\ln \left({\mathrm e}^{5}+x \right)^{2}}+\frac{12 \,{\mathrm e}^{5}}{\ln \left({\mathrm e}^{5}+x \right)}-\frac{4 \,{\mathrm e}^{5}}{\ln \left({\mathrm e}^{5}+x \right)^{2}}-2 \,{\mathrm e}^{5} \ln \left(5\right) \left({\mathrm e}^{5}+x \right)+\frac{4 \,{\mathrm e}^{5} \ln \left(5\right)}{\ln \left({\mathrm e}^{5}+x \right)^{2}}-\frac{12 \,{\mathrm e}^{5} \ln \left(5\right)}{\ln \left({\mathrm e}^{5}+x \right)}+\frac{4 \,{\mathrm e}^{5}+4 x}{\ln \left({\mathrm e}^{5}+x \right)^{2}}$&$378$\\ default&$9 x -\left({\mathrm e}^{5}+x \right)^{3}+9 \,{\mathrm e}^{5}+8 \left({\mathrm e}^{5}+x \right)^{2}-3 \,{\mathrm e}^{10} \left({\mathrm e}^{5}+x \right)+\frac{4 \,{\mathrm e}^{10}}{\ln \left({\mathrm e}^{5}+x \right)^{2}}-\frac{12 \,{\mathrm e}^{10}}{\ln \left({\mathrm e}^{5}+x \right)}+8 \ln \left(5\right) \left(-\frac{{\mathrm e}^{5}+x}{2 \ln \left({\mathrm e}^{5}+x \right)^{2}}-\frac{{\mathrm e}^{5}+x}{2 \ln \left({\mathrm e}^{5}+x \right)}-\frac{\expIntegralEi \left(1, -\ln \left({\mathrm e}^{5}+x \right)\right)}{2}\right)+16 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{5}+x}{2 \ln \left({\mathrm e}^{5}+x \right)^{2}}-\frac{{\mathrm e}^{5}+x}{2 \ln \left({\mathrm e}^{5}+x \right)}-\frac{\expIntegralEi \left(1, -\ln \left({\mathrm e}^{5}+x \right)\right)}{2}\right)-24 \,{\mathrm e}^{5} \expIntegralEi \left(1, -\ln \left({\mathrm e}^{5}+x \right)\right)-12 \ln \left(5\right) \expIntegralEi \left(1, -\ln \left({\mathrm e}^{5}+x \right)\right)-32 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{5}+x}{\ln \left({\mathrm e}^{5}+x \right)}-\expIntegralEi \left(1, -\ln \left({\mathrm e}^{5}+x \right)\right)\right)-16 \ln \left(5\right) \left(-\frac{{\mathrm e}^{5}+x}{\ln \left({\mathrm e}^{5}+x \right)}-\expIntegralEi \left(1, -\ln \left({\mathrm e}^{5}+x \right)\right)\right)+\ln \left(5\right) \left({\mathrm e}^{5}+x \right)^{2}-9 \left({\mathrm e}^{5}+x \right) \ln \left(5\right)-16 \,{\mathrm e}^{5} \left({\mathrm e}^{5}+x \right)-\frac{12 \left({\mathrm e}^{5}+x \right)}{\ln \left({\mathrm e}^{5}+x \right)}+3 \,{\mathrm e}^{5} \left({\mathrm e}^{5}+x \right)^{2}-\frac{12 \left({\mathrm e}^{5}+x \right)^{2}}{\ln \left({\mathrm e}^{5}+x \right)}+\frac{4 \left({\mathrm e}^{5}+x \right)^{2}}{\ln \left({\mathrm e}^{5}+x \right)^{2}}+\frac{12 \,{\mathrm e}^{5}}{\ln \left({\mathrm e}^{5}+x \right)}-\frac{4 \,{\mathrm e}^{5}}{\ln \left({\mathrm e}^{5}+x \right)^{2}}-2 \,{\mathrm e}^{5} \ln \left(5\right) \left({\mathrm e}^{5}+x \right)+\frac{4 \,{\mathrm e}^{5} \ln \left(5\right)}{\ln \left({\mathrm e}^{5}+x \right)^{2}}-\frac{12 \,{\mathrm e}^{5} \ln \left(5\right)}{\ln \left({\mathrm e}^{5}+x \right)}+\frac{4 \,{\mathrm e}^{5}+4 x}{\ln \left({\mathrm e}^{5}+x \right)^{2}}$&$378$\\ \hline \end{longtable}"," ",0,"x^2*ln(5)-x^3-9*x*ln(5)+8*x^2+9*x+4*x*(3*ln(exp(5)+x)*ln(5)-3*ln(exp(5)+x)*x-ln(5)+x-3*ln(exp(5)+x)+1)/ln(exp(5)+x)^2","B"
4590,1,22,21,1.760000," ","int((16*exp(exp(9))-144*exp(3)+288*x-16)/(x^2*exp(exp(9))^2+(-18*x^2*exp(3)+18*x^3-2*x^2)*exp(exp(9))+81*x^2*exp(3)^2+(-162*x^3+18*x^2)*exp(3)+81*x^4-18*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{16}{\left(-9 x +9 \,{\mathrm e}^{3}-{\mathrm e}^{{\mathrm e}^{9}}+1\right) x}$&$22$\\ norman&$\frac{16}{\left(-9 x +9 \,{\mathrm e}^{3}-{\mathrm e}^{{\mathrm e}^{9}}+1\right) x}$&$22$\\ risch&$\frac{16}{\left(-9 x +9 \,{\mathrm e}^{3}-{\mathrm e}^{{\mathrm e}^{9}}+1\right) x}$&$22$\\ \hline \end{longtable}"," ",0,"16/(-9*x+9*exp(3)-exp(exp(9))+1)/x","A"
4591,1,25,21,0.074000," ","int((exp(-4*exp(x)^2+(-4*x+1)*exp(x)-x^2)+40*exp(x)^2+(20*x+15)*exp(x)+10*x)/exp(-4*exp(x)^2+(-4*x+1)*exp(x)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +5 \,{\mathrm e}^{4 \,{\mathrm e}^{x} x +x^{2}-{\mathrm e}^{x}+4 \,{\mathrm e}^{2 x}}$&$25$\\ norman&$\left(5+x \,{\mathrm e}^{-4 \,{\mathrm e}^{2 x}+\left(-4 x +1\right) {\mathrm e}^{x}-x^{2}}\right) {\mathrm e}^{4 \,{\mathrm e}^{2 x}-\left(-4 x +1\right) {\mathrm e}^{x}+x^{2}}$&$50$\\ \hline \end{longtable}"," ",0,"x+5*exp(4*exp(x)*x+x^2-exp(x)+4*exp(2*x))","A"
4592,1,62,30,0.263000," ","int((((12*x+21)*exp(x)+3*x^3-3*x^2-87*x-93)*exp(ln(3+x)+1/5*x)+(-15*x^2-30*x+45)*exp(x)+15*x^3+45*x^2+30*x+90)/((5*x+15)*exp(ln(3+x)+1/5*x)^2+(-10*x^2-30*x)*exp(ln(3+x)+1/5*x)+5*x^3+15*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-6+3 \,{\mathrm e}^{\ln \left(3+x \right)+\frac{x}{5}}+3 x^{2}}{x -{\mathrm e}^{\ln \left(3+x \right)+\frac{x}{5}}}+\frac{3 \,{\mathrm e}^{x}}{x \,{\mathrm e}^{\frac{x}{5}}-x +3 \,{\mathrm e}^{\frac{x}{5}}}$&$62$\\ risch&$\frac{3 x^{4}}{\left(x^{2}+6 x +9\right) \left(3+x \right)^{3}}+\frac{3 \,{\mathrm e}^{\frac{4 x}{5}}}{3+x}+\frac{3 x \,{\mathrm e}^{\frac{3 x}{5}}}{\left(3+x \right)^{2}}+\frac{3 x^{2} {\mathrm e}^{\frac{2 x}{5}}}{\left(3+x \right)^{3}}+\frac{3 x^{3} {\mathrm e}^{\frac{x}{5}}}{\left(3+x \right)^{4}}-\frac{3 \left(x^{7}+16 x^{6}+102 x^{5}+330 x^{4}+495 x^{3}+108 x^{2}-567 x -486\right)}{\left(x^{2}+6 x +9\right) \left(3+x \right)^{3} \left(x \,{\mathrm e}^{\frac{x}{5}}-x +3 \,{\mathrm e}^{\frac{x}{5}}\right)}$&$141$\\ \hline \end{longtable}"," ",0,"(-6+3*exp(ln(3+x)+1/5*x)+3*x^2)/(x-exp(ln(3+x)+1/5*x))+3*exp(1/5*x)^5/(x*exp(1/5*x)-x+3*exp(1/5*x))","B"
4593,1,24,26,0.044000," ","int(((-4*x^2+2048*x-262149)*ln(4*x^2-2048*x+262149)^2+(-24*x^4+12288*x^3-1572894*x^2)*ln(4*x^2-2048*x+262149)+24*x^4-6144*x^3)/(4*x^3-2048*x^2+262149*x)/ln(4*x^2-2048*x+262149)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{3 x^{2}}{\ln \left(4 x^{2}-2048 x +262149\right)}-\ln \left(x \right)$&$24$\\ risch&$-\frac{3 x^{2}}{\ln \left(4 x^{2}-2048 x +262149\right)}-\ln \left(x \right)$&$24$\\ \hline \end{longtable}"," ",0,"-3*x^2/ln(4*x^2-2048*x+262149)-ln(x)","A"
4594,1,43,17,0.051000," ","int((((64*x^2+32*x)*ln(x)+56*x^3+28*x^2+28*x+32)*ln(ln(x)+7/8*x)+(64*x^4+96*x^3+32*x^2)*ln(x)+56*x^5+84*x^4+56*x^3+60*x^2+32*x)*exp(2/9*ln(ln(x)+7/8*x)^2+1/9*(4*x^2+4*x)*ln(ln(x)+7/8*x)+2/9*x^4+4/9*x^3+2/9*x^2)/(72*x*ln(x)+63*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\ln \left(x \right)+\frac{7 x}{8}\right)^{\frac{4 \left(x +1\right) x}{9}} {\mathrm e}^{\frac{2 \ln \left(\ln \left(x \right)+\frac{7 x}{8}\right)^{2}}{9}+\frac{2 x^{4}}{9}+\frac{4 x^{3}}{9}+\frac{2 x^{2}}{9}}$&$43$\\ \hline \end{longtable}"," ",0,"(ln(x)+7/8*x)^(4/9*(x+1)*x)*exp(2/9*ln(ln(x)+7/8*x)^2+2/9*x^4+4/9*x^3+2/9*x^2)","B"
4595,1,38,23,0.048000," ","int(1/8*exp(3-x)^2+1/8*(-ln(3)+x-26)*exp(3-x)+1/8*ln(3)-1/8*x+33/8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{6-2 x}}{16}+\frac{\left(\ln \left(3\right)+25-x \right) {\mathrm e}^{3-x}}{8}+\frac{x \ln \left(3\right)}{8}-\frac{x^{2}}{16}+\frac{33 x}{8}$&$38$\\ norman&$\left(\frac{25}{8}+\frac{\ln \left(3\right)}{8}\right) {\mathrm e}^{3-x}+\left(\frac{\ln \left(3\right)}{8}+\frac{33}{8}\right) x -\frac{x^{2}}{16}-\frac{{\mathrm e}^{6-2 x}}{16}-\frac{x \,{\mathrm e}^{3-x}}{8}$&$47$\\ default&$\frac{33 x}{8}-\frac{x^{2}}{16}-\frac{{\mathrm e}^{6-2 x}}{16}+\frac{{\mathrm e}^{3-x} \left(3-x \right)}{8}+\frac{11 \,{\mathrm e}^{3-x}}{4}+\frac{{\mathrm e}^{3-x} \ln \left(3\right)}{8}+\frac{x \ln \left(3\right)}{8}$&$56$\\ derivativedivides&$-\frac{45}{4}+\frac{15 x}{4}-\frac{\left(3-x \right)^{2}}{16}-\frac{{\mathrm e}^{6-2 x}}{16}+\frac{{\mathrm e}^{3-x} \left(3-x \right)}{8}+\frac{11 \,{\mathrm e}^{3-x}}{4}+\frac{{\mathrm e}^{3-x} \ln \left(3\right)}{8}-\frac{\ln \left(3\right) \left(3-x \right)}{8}$&$65$\\ \hline \end{longtable}"," ",0,"-1/16*exp(6-2*x)+1/8*(ln(3)+25-x)*exp(3-x)+1/8*x*ln(3)-1/16*x^2+33/8*x","A"
4596,1,37,30,0.071000," ","int(((6*ln(3)*exp(((2*x-2)*ln(3)-x^2)/ln(3))+6*x*ln(3))*ln(x)+(-6*x*ln(3)+6*x^2)*exp(((2*x-2)*ln(3)-x^2)/ln(3))-3*x*ln(3))/((x*ln(3)*exp(((2*x-2)*ln(3)-x^2)/ln(3))+x^2*ln(3))*ln(exp(((2*x-2)*ln(3)-x^2)/ln(3))+x)^2+((-2*x*ln(3)*exp(((2*x-2)*ln(3)-x^2)/ln(3))-2*x^2*ln(3))*ln(x)^2+12*x*ln(3)*exp(((2*x-2)*ln(3)-x^2)/ln(3))+12*x^2*ln(3))*ln(exp(((2*x-2)*ln(3)-x^2)/ln(3))+x)+(x*ln(3)*exp(((2*x-2)*ln(3)-x^2)/ln(3))+x^2*ln(3))*ln(x)^4+(-12*x*ln(3)*exp(((2*x-2)*ln(3)-x^2)/ln(3))-12*x^2*ln(3))*ln(x)^2+36*x*ln(3)*exp(((2*x-2)*ln(3)-x^2)/ln(3))+36*x^2*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3}{\ln \left(x \right)^{2}-\ln \left({\mathrm e}^{\frac{2 x \ln \left(3\right)-x^{2}-2 \ln \left(3\right)}{\ln \left(3\right)}}+x \right)-6}$&$37$\\ \hline \end{longtable}"," ",0,"-3/(ln(x)^2-ln(exp((2*x*ln(3)-x^2-2*ln(3))/ln(3))+x)-6)","A"
4597,1,17,16,0.059000," ","int(((-x*ln(2)*exp(x)+20*x*ln(2))*ln(x)+exp(x)*ln(2)+(-20*x-1)*ln(2))/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(2\right) \left(20 x +1-{\mathrm e}^{x}\right)}{\ln \left(x \right)}$&$17$\\ norman&$\frac{20 x \ln \left(2\right)-{\mathrm e}^{x} \ln \left(2\right)+\ln \left(2\right)}{\ln \left(x \right)}$&$20$\\ default&$-\frac{\ln \left(2\right) {\mathrm e}^{x}}{\ln \left(x \right)}+\frac{20 \ln \left(2\right) x}{\ln \left(x \right)}+\frac{\ln \left(2\right)}{\ln \left(x \right)}$&$28$\\ \hline \end{longtable}"," ",0,"ln(2)*(20*x+1-exp(x))/ln(x)","A"
4598,1,21,26,0.123000," ","int(((-3*x^2-25*x-50)*exp(9-x)*exp(exp(9-x))-5)/(3*x^2+25*x+50),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{{\mathrm e}^{9-x}}-\ln \left(3 x +10\right)+\ln \left(5+x \right)$&$21$\\ risch&${\mathrm e}^{{\mathrm e}^{9-x}}-\ln \left(3 x +10\right)+\ln \left(5+x \right)$&$21$\\ \hline \end{longtable}"," ",0,"exp(exp(9-x))-ln(3*x+10)+ln(5+x)","A"
4599,1,29,17,0.651000," ","int((2*ln(x)+2*exp(4)+4)*ln(x*ln(x)^2+2*x*exp(4)*ln(x)+x*exp(4)^2)/((x*ln(x)+x*exp(4))*ln(x*ln(x)^2+2*x*exp(4)*ln(x)+x*exp(4)^2)^2+(x*ln(2)+3*x)*ln(x)+x*exp(4)*ln(2)+3*x*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(x \ln \left(x \right)^{2}+2 x \,{\mathrm e}^{4} \ln \left(x \right)+x \,{\mathrm e}^{8}\right)^{2}+\ln \left(2\right)+3\right)$&$29$\\ risch&$\text{Expression too large to display}$&$1283$\\ \hline \end{longtable}"," ",0,"ln(ln(x*ln(x)^2+2*x*exp(4)*ln(x)+x*exp(4)^2)^2+ln(2)+3)","A"
4600,1,24,24,0.074000," ","int(1/5*((5*exp(x)*x^2+5*x^2-5*x)*exp(x-exp(x))-5*exp(x)^2+2*x^3-2*x^2)/x^2/exp(x)^2/exp(1/5*(5*x*exp(x-exp(x))+x^2)/exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{x \left(5 \,{\mathrm e}^{x -{\mathrm e}^{x}}+x \right) {\mathrm e}^{-2 x}}{5}}}{x}$&$24$\\ \hline \end{longtable}"," ",0,"1/x*exp(-1/5*x*(5*exp(x-exp(x))+x)*exp(-2*x))","A"
4601,1,28,32,0.073000," ","int(((4*x^5+36*x^4+108*x^3+108*x^2)*exp(ln(x)-4)^2-25*x^3-50*x-75)/(2*x^4+18*x^3+54*x^2+54*x)/exp(ln(x)-4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{{\mathrm e}^{8} \left(\frac{25 x^{2}}{4}+\frac{25}{4}\right)}{x^{2} \left(x^{2}+6 x +9\right)}$&$28$\\ default&$x^{2}-\frac{25 \,{\mathrm e}^{8} \left(-\frac{5}{9 \left(3+x \right)^{2}}-\frac{1}{27 \left(3+x \right)}-\frac{1}{18 x^{2}}+\frac{1}{27 x}\right)}{2}$&$34$\\ norman&$\frac{\left(x^{6} {\mathrm e}^{4}-54 x^{3} {\mathrm e}^{4}+\frac{{\mathrm e}^{4} \left(25 \,{\mathrm e}^{8}-324\right) x^{2}}{4}+\frac{25 \,{\mathrm e}^{12}}{4}+6 x^{5} {\mathrm e}^{4}\right) {\mathrm e}^{-4}}{x^{2} \left(3+x \right)^{2}}$&$56$\\ \hline \end{longtable}"," ",0,"x^2+exp(8)*(25/4*x^2+25/4)/x^2/(x^2+6*x+9)","A"
4602,1,30,27,0.076000," ","int(((2*x+4)*exp(x^2)^2*ln(2+x)^4+(8*x-40)*exp(x^2)^2*ln(2+x)^3+(4*x^2+8*x)*exp(x^2)^2)*exp((x-5)*ln(2+x)^4+exp(exp(1)))^2/(2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x^{2}+2 \ln \left(2+x \right)^{4} x -10 \ln \left(2+x \right)^{4}+2 \,{\mathrm e}^{{\mathrm e}}}$&$30$\\ \hline \end{longtable}"," ",0,"exp(2*x^2+2*ln(2+x)^4*x-10*ln(2+x)^4+2*exp(exp(1)))","A"
4603,0,0,26,0.030000," ","int(((x-4)*exp(-1/3*ln(-x^3+6*x^2)+5/3)+(-x^2+6*x)*ln(20)+3*x^2-18*x)/(x^2-6*x),x)","\[\int \frac{\left(x -4\right) {\mathrm e}^{-\frac{\ln \left(-x^{3}+6 x^{2}\right)}{3}+\frac{5}{3}}+\left(-x^{2}+6 x \right) \ln \left(20\right)+3 x^{2}-18 x}{x^{2}-6 x}\, dx\]"," ",0,"int(((x-4)*exp(-1/3*ln(-x^3+6*x^2)+5/3)+(-x^2+6*x)*ln(20)+3*x^2-18*x)/(x^2-6*x),x)","F"
4604,1,28,27,0.077000," ","int(1/9*((24*x^6+40*x^5+176*x^4+120*x^3+200*x^2)*exp(4/9*x^6+8/9*x^5+44/9*x^4+40/9*x^3+100/9*x^2)+72*x^2+27*x-27)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2}+3 x -3 \ln \left(x \right)+{\mathrm e}^{\frac{4 x^{2} \left(x^{2}+x +5\right)^{2}}{9}}$&$28$\\ norman&$3 x +4 x^{2}+{\mathrm e}^{\frac{4}{9} x^{6}+\frac{8}{9} x^{5}+\frac{44}{9} x^{4}+\frac{40}{9} x^{3}+\frac{100}{9} x^{2}}-3 \ln \left(x \right)$&$41$\\ \hline \end{longtable}"," ",0,"4*x^2+3*x-3*ln(x)+exp(4/9*x^2*(x^2+x+5)^2)","A"
4605,1,20,20,0.076000," ","int((25*exp(2*x)^2+((-16*x+8)*ln(2)+160*x)*exp(2*x)+256*x^2)/(25*exp(2*x)^2+160*x*exp(2*x)+256*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{8 x \ln \left(2\right)}{5 \left(5 \,{\mathrm e}^{2 x}+16 x \right)}$&$20$\\ norman&$\frac{-\frac{\ln \left(2\right) {\mathrm e}^{2 x}}{2}+16 x^{2}+5 x \,{\mathrm e}^{2 x}}{5 \,{\mathrm e}^{2 x}+16 x}$&$35$\\ \hline \end{longtable}"," ",0,"x+8/5*x*ln(2)/(5*exp(2*x)+16*x)","A"
4606,1,22,26,0.094000," ","int(((2*x^2+6*x)*exp(-ln(2*x+4)-x+6)^2+2*x^2+3*x-2)/(x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\ln \left(x \right)-\frac{{\mathrm e}^{-2 x +12}}{4 \left(2+x \right)^{2}}$&$22$\\ default&$2 x -\ln \left(x \right)-\frac{{\mathrm e}^{-2 x +12}}{\left(-2 x -4\right)^{2}}$&$24$\\ norman&$2 x -\ln \left(x \right)-\frac{{\mathrm e}^{-2 x +12}}{\left(2 x +4\right)^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"2*x-ln(x)-1/4/(2+x)^2*exp(-2*x+12)","A"
4607,1,6,12,0.011000," ","int(-2*exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \,{\mathrm e}^{2} x$&$6$\\ norman&$-2 \,{\mathrm e}^{2} x$&$6$\\ risch&$-2 \,{\mathrm e}^{2} x$&$6$\\ \hline \end{longtable}"," ",0,"-2*exp(2)*x","A"
4608,1,20,19,0.051000," ","int((6*x^2+2*x-14)/((2*x^3+x^2-14*x+12)*ln(-2*x^3-x^2+14*x-12)+8*x^3+4*x^2-56*x+48),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(-2 x^{3}-x^{2}+14 x -12\right)+4\right)$&$20$\\ risch&$\ln \left(\ln \left(-2 x^{3}-x^{2}+14 x -12\right)+4\right)$&$20$\\ \hline \end{longtable}"," ",0,"ln(ln(-2*x^3-x^2+14*x-12)+4)","A"
4609,1,12,12,0.014000," ","int(-1/5*ln(x)-4*x^3-1/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{4}-\frac{x \ln \left(x \right)}{5}$&$12$\\ norman&$-x^{4}-\frac{x \ln \left(x \right)}{5}$&$12$\\ risch&$-x^{4}-\frac{x \ln \left(x \right)}{5}$&$12$\\ \hline \end{longtable}"," ",0,"-x^4-1/5*x*ln(x)","A"
4610,1,12,15,0.087000," ","int(10/(ln(3/4)+2*x+exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 \ln \left(\ln \left(\frac{3}{4}\right)+2 x +{\mathrm e}^{4}\right)$&$12$\\ norman&$5 \ln \left(\ln \left(\frac{3}{4}\right)+2 x +{\mathrm e}^{4}\right)$&$12$\\ risch&$5 \ln \left(\ln \left(3\right)-2 \ln \left(2\right)+2 x +{\mathrm e}^{4}\right)$&$16$\\ meijerg&$\frac{10 \left(\frac{\ln \left(\frac{3}{4}\right)}{2}+\frac{{\mathrm e}^{4}}{2}\right) \ln \left(1+\frac{2 x}{\ln \left(\frac{3}{4}\right)+{\mathrm e}^{4}}\right)}{\ln \left(\frac{3}{4}\right)+{\mathrm e}^{4}}$&$32$\\ \hline \end{longtable}"," ",0,"5*ln(ln(3/4)+2*x+exp(4))","A"
4611,1,74,27,0.050000," ","int(1/4*((-5*x*ln(x)+5*x)*ln(x^2)+(3*x^3+2*x^2+9*x-4)*ln(x)^2-25*x*ln(x)+15*x)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3}}{4}+\frac{x^{2}}{4}-\frac{x}{4}-\ln \left(x \right)+\frac{5 i x \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+6 i\right)}{8 \ln \left(x \right)}$&$74$\\ \hline \end{longtable}"," ",0,"1/4*x^3+1/4*x^2-1/4*x-ln(x)+5/8*I*x*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+6*I)/ln(x)","C"
4612,1,14,20,0.020000," ","int(1/5*((10*x-5)*exp(2*x)-2)/exp(2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +x^{2}+\frac{{\mathrm e}^{-2 x}}{5}$&$14$\\ derivativedivides&$-x +x^{2}+\frac{{\mathrm e}^{-2 x}}{5}$&$16$\\ default&$-x +x^{2}+\frac{{\mathrm e}^{-2 x}}{5}$&$16$\\ norman&$\left(\frac{1}{5}+{\mathrm e}^{2 x} x^{2}-x \,{\mathrm e}^{2 x}\right) {\mathrm e}^{-2 x}$&$25$\\ \hline \end{longtable}"," ",0,"-x+x^2+1/5*exp(-2*x)","A"
4613,1,30,12,0.078000," ","int((4*x+8)*exp(x^2+4*x)*exp(exp(x^2+4*x))^2+((4*x^2-8*x-32)*exp(x^2+4*x)+2)*exp(exp(x^2+4*x))+2*x-8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 \,{\mathrm e}^{\left(4+x \right) x}}+\left(2 x -8\right) {\mathrm e}^{{\mathrm e}^{\left(4+x \right) x}}+x^{2}-8 x$&$30$\\ default&$-8 x +2 x \,{\mathrm e}^{{\mathrm e}^{x^{2}+4 x}}-8 \,{\mathrm e}^{{\mathrm e}^{x^{2}+4 x}}+{\mathrm e}^{2 \,{\mathrm e}^{x^{2}+4 x}}+x^{2}$&$42$\\ norman&$-8 x +2 x \,{\mathrm e}^{{\mathrm e}^{x^{2}+4 x}}-8 \,{\mathrm e}^{{\mathrm e}^{x^{2}+4 x}}+{\mathrm e}^{2 \,{\mathrm e}^{x^{2}+4 x}}+x^{2}$&$42$\\ \hline \end{longtable}"," ",0,"exp(2*exp((4+x)*x))+(2*x-8)*exp(exp((4+x)*x))+x^2-8*x","B"
4614,1,1616,25,0.308000," ","int((((-3*x^2+3*x+3)*ln(3)*ln(x^2)+(-9*x^2+9*x+9)*ln(3))*ln((3*ln(x^2)+9)/x)+(-3*x-3)*ln(3)*ln(x^2)+(-3*x-3)*ln(3))/(exp(x)*ln(x^2)+3*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \ln \left(3\right) x \left(x +1\right) {\mathrm e}^{-x} \ln \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)+\frac{3 \ln \left(3\right) x \left(-i \pi  \,\mathrm{csgn}\left(\frac{i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{x}\right) \mathrm{csgn}\left(\frac{6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{x}\right)+i x \pi  \,\mathrm{csgn}\left(i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{x}\right)^{2}+i x \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{x}\right) \mathrm{csgn}\left(\frac{6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{x}\right)^{2}-i x \pi  \,\mathrm{csgn}\left(\frac{i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{x}\right) \mathrm{csgn}\left(\frac{6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{x}\right)-i x \pi  \mathrm{csgn}\left(\frac{6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{x}\right)^{3}-i x \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{x}\right)-i x \pi +i x \pi  \,\mathrm{csgn}\left(\frac{i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{x}\right) \mathrm{csgn}\left(\frac{6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{x}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{x}\right)^{3}-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{x}\right)+i \pi  \,\mathrm{csgn}\left(i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{x}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{x}\right)^{3}+i x \pi  \mathrm{csgn}\left(\frac{6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{x}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{x}\right)^{2}-i x \pi  \mathrm{csgn}\left(\frac{i \left(6 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{x}\right)^{3}-i \pi +2 x \ln \left(\frac{3}{2}\right)-2 x \ln \left(x \right)+2 \ln \left(\frac{3}{2}\right)-2 \ln \left(x \right)\right) {\mathrm e}^{-x}}{2}$&$1616$\\ \hline \end{longtable}"," ",0,"3*ln(3)*x*(x+1)*exp(-x)*ln(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)+3/2*ln(3)*x*(-I*Pi*csgn(I/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(1/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))+I*x*Pi*csgn(I*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(I/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2+I*x*Pi*csgn(I/x)*csgn(I/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2+I*Pi*csgn(I/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(1/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2-I*x*Pi*csgn(I/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(1/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))-I*x*Pi*csgn(1/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^3-I*x*Pi*csgn(I/x)*csgn(I*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(I/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))-I*x*Pi+I*x*Pi*csgn(I/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(1/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2-I*Pi*csgn(1/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^3-I*Pi*csgn(I/x)*csgn(I*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(I/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))+I*Pi*csgn(I*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(I/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2-I*Pi*csgn(I/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^3+I*x*Pi*csgn(1/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2+I*Pi*csgn(I/x)*csgn(I/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2+I*Pi*csgn(1/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2-I*x*Pi*csgn(I/x*(6*I+Pi*csgn(I*x^2)^3+4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^3-I*Pi+2*x*ln(3/2)-2*x*ln(x)+2*ln(3/2)-2*ln(x))*exp(-x)","C"
4615,1,18,14,0.070000," ","int(((-x-1)*ln(x^2+2*x+1)-5*x^3-5*x^2+2*x)/(x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(x^{2}+2 x +1\right)}{x}-5 x$&$18$\\ risch&$\frac{\ln \left(x^{2}+2 x +1\right)}{x}-5 x$&$18$\\ norman&$\frac{-5 x^{2}+\ln \left(x^{2}+2 x +1\right)}{x}$&$20$\\ \hline \end{longtable}"," ",0,"1/x*ln(x^2+2*x+1)-5*x","A"
4616,1,31,25,0.049000," ","int(1/2*(((4*x^4-4*x^3)*exp(x/exp(x))-12*exp(x)*x^2)*exp(exp(x/exp(x)))+(8*ln(3)+16*x^3)*exp(x))/ln(3)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{4}}{\ln \left(3\right)}-\frac{2 x^{3} {\mathrm e}^{{\mathrm e}^{x \,{\mathrm e}^{-x}}}}{\ln \left(3\right)}+4 x$&$31$\\ \hline \end{longtable}"," ",0,"2/ln(3)*x^4-2/ln(3)*x^3*exp(exp(x*exp(-x)))+4*x","A"
4617,1,20,17,0.027000," ","int(1/6*(-120*ln(2)-7*exp(1)-14*x)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(7 x +7 \,{\mathrm e}+120 \ln \left(2\right)\right)}{6 \ln \left(2\right)}$&$20$\\ default&$\frac{-120 x \ln \left(2\right)-7 x \,{\mathrm e}-7 x^{2}}{6 \ln \left(2\right)}$&$23$\\ risch&$-20 x -\frac{7 x \,{\mathrm e}}{6 \ln \left(2\right)}-\frac{7 x^{2}}{6 \ln \left(2\right)}$&$23$\\ norman&$-\frac{7 x^{2}}{6 \ln \left(2\right)}-\frac{\left(7 \,{\mathrm e}+120 \ln \left(2\right)\right) x}{6 \ln \left(2\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-1/6*x*(7*x+7*exp(1)+120*ln(2))/ln(2)","A"
4618,1,13,13,0.045000," ","int(((-x^2-3*x-3)*exp(x+ln(x))+8*x)/(x*exp(x+ln(x))^2+16*exp(x+ln(x))*x+64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3+x}{8+{\mathrm e}^{x} x}$&$13$\\ norman&$\frac{3+x}{8+{\mathrm e}^{x +\ln \left(x \right)}}$&$14$\\ \hline \end{longtable}"," ",0,"(3+x)/(8+exp(x)*x)","A"
4619,1,51,30,0.069000," ","int((4*(-16*x^2+320*x-1200)*ln(2)^2+2*(440*x^2-1920*x-600)*ln(2)+36*x^4-565*x^2-500*x-75)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$36 x +\frac{\left(64 \ln \left(2\right)^{2}-880 \ln \left(2\right)+565\right) x^{2}+\left(-640 \ln \left(2\right)^{2}+1920 \ln \left(2\right)+250\right) x +1600 \ln \left(2\right)^{2}+400 \ln \left(2\right)+25}{x^{3}}$&$51$\\ norman&$\frac{\left(-640 \ln \left(2\right)^{2}+1920 \ln \left(2\right)+250\right) x +\left(64 \ln \left(2\right)^{2}-880 \ln \left(2\right)+565\right) x^{2}+36 x^{4}+1600 \ln \left(2\right)^{2}+400 \ln \left(2\right)+25}{x^{3}}$&$52$\\ default&$36 x -\frac{-64 \ln \left(2\right)^{2}+880 \ln \left(2\right)-565}{x}-\frac{1280 \ln \left(2\right)^{2}-3840 \ln \left(2\right)-500}{2 x^{2}}-\frac{-4800 \ln \left(2\right)^{2}-1200 \ln \left(2\right)-75}{3 x^{3}}$&$56$\\ gosper&$\frac{64 x^{2} \ln \left(2\right)^{2}+36 x^{4}-640 x \ln \left(2\right)^{2}-880 x^{2} \ln \left(2\right)+1600 \ln \left(2\right)^{2}+1920 x \ln \left(2\right)+565 x^{2}+400 \ln \left(2\right)+250 x +25}{x^{3}}$&$58$\\ \hline \end{longtable}"," ",0,"36*x+((64*ln(2)^2-880*ln(2)+565)*x^2+(-640*ln(2)^2+1920*ln(2)+250)*x+1600*ln(2)^2+400*ln(2)+25)/x^3","A"
4620,1,27,24,0.046000," ","int((((-10*x^2*exp(5)-15*x^3-5)*exp(x^2*exp(5)+x^3)+5*exp(1)-10*x)*ln(x)+5*exp(x^2*exp(5)+x^3)-5*exp(1)+5*x)/(x^2*exp(x^2*exp(5)+x^3)^2+(-2*x^2*exp(1)+2*x^3)*exp(x^2*exp(5)+x^3)+x^2*exp(1)^2-2*x^3*exp(1)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \ln \left(x \right)}{x \left({\mathrm e}-x -{\mathrm e}^{x^{2} \left({\mathrm e}^{5}+x \right)}\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-5/x/(exp(1)-x-exp(x^2*(exp(5)+x)))*ln(x)","A"
4621,1,23,26,0.064000," ","int(((-144*exp(1)^2*exp(x)^2+(-64*x^2+64*x)*exp(1)^2)*exp(2*x)-72*exp(1)^2*exp(x)^2+(-64*x^3+64*x^2)*exp(1)^2)*exp(4/9*x^2/exp(x)^2)^2/(9*exp(x)^2*exp(2*x)^3+27*x*exp(x)^2*exp(2*x)^2+27*x^2*exp(x)^2*exp(2*x)+9*exp(x)^2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{2+\frac{8 x^{2} {\mathrm e}^{-2 x}}{9}}}{\left({\mathrm e}^{2 x}+x \right)^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"4/(exp(2*x)+x)^2*exp(2+8/9*x^2*exp(-2*x))","A"
4622,1,15,15,0.017000," ","int((ln(3/x)-5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{6-\ln \left(\frac{3}{x}\right)}{x}$&$15$\\ derivativedivides&$\frac{6}{x}-\frac{\ln \left(\frac{3}{x}\right)}{x}$&$18$\\ default&$\frac{6}{x}-\frac{\ln \left(\frac{3}{x}\right)}{x}$&$18$\\ risch&$\frac{6}{x}-\frac{\ln \left(\frac{3}{x}\right)}{x}$&$18$\\ \hline \end{longtable}"," ",0,"(6-ln(3/x))/x","A"
4623,1,23,31,0.058000," ","int(((2*x^3-2*x^2-3*x-2)*ln(2)+x^2+x)*exp((ln(2)*ln(2*x)+ln(2*x-4)+2*x*ln(2))/ln(2))/(x^4-3*x^2-2*x)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x \left(2 x -4\right)^{\frac{1}{\ln \left(2\right)}} {\mathrm e}^{2 x}}{x +1}$&$23$\\ gosper&$\frac{{\mathrm e}^{\frac{\ln \left(2\right) \ln \left(2 x \right)+\ln \left(2 x -4\right)+2 x \ln \left(2\right)}{\ln \left(2\right)}}}{x +1}$&$32$\\ \hline \end{longtable}"," ",0,"2*x*(2*x-4)^(1/ln(2))*exp(2*x)/(x+1)","A"
4624,1,17,18,0.104000," ","int((exp(1)*exp(1/25*x*exp(1)-x)+150*x+125)/(25*exp(1/25*x*exp(1)-x)+150*x-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(-1+6 x +{\mathrm e}^{\frac{x \left({\mathrm e}-25\right)}{25}}\right)$&$17$\\ norman&$x +\ln \left(25 \,{\mathrm e}^{\frac{x \,{\mathrm e}}{25}-x}+150 x -25\right)$&$21$\\ \hline \end{longtable}"," ",0,"x+ln(-1+6*x+exp(1/25*x*(exp(1)-25)))","A"
4625,1,20,18,0.061000," ","int(1/36*((-36*x^2+252*x-441)*exp(x)+16*x^2-40*x-56)/exp(exp(x)-4/9*x+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(x^{2}-7 x +\frac{49}{4}\right) {\mathrm e}^{-{\mathrm e}^{x}+\frac{4 x}{9}-5}$&$20$\\ risch&$\frac{\left(36 x^{2}-252 x +441\right) {\mathrm e}^{-{\mathrm e}^{x}+\frac{4 x}{9}-5}}{36}$&$23$\\ \hline \end{longtable}"," ",0,"(x^2-7*x+49/4)/exp(exp(x)-4/9*x+5)","A"
4626,1,7,7,0.013000," ","int((-3*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-3 x$&$7$\\ norman&$\ln \left(x \right)-3 x$&$7$\\ risch&$\ln \left(x \right)-3 x$&$7$\\ \hline \end{longtable}"," ",0,"ln(x)-3*x","A"
4627,1,30,27,0.177000," ","int((486*x^9+2781*x^8+4752*x^7+3528*x^6+1292*x^5+702*x^4+432*x^3+72*x^2-18*x-27)*exp((81*x^8+216*x^7+216*x^6+96*x^5+70*x^4+72*x^3+24*x^2+9)/(x^2+3*x))/(x^4+6*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(9 x^{4}+12 x^{3}+4 x^{2}+3\right)^{2}}{\left(3+x \right) x}}$&$30$\\ gosper&${\mathrm e}^{\frac{81 x^{8}+216 x^{7}+216 x^{6}+96 x^{5}+70 x^{4}+72 x^{3}+24 x^{2}+9}{\left(3+x \right) x}}$&$48$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{81 x^{8}+216 x^{7}+216 x^{6}+96 x^{5}+70 x^{4}+72 x^{3}+24 x^{2}+9}{x^{2}+3 x}}+3 x \,{\mathrm e}^{\frac{81 x^{8}+216 x^{7}+216 x^{6}+96 x^{5}+70 x^{4}+72 x^{3}+24 x^{2}+9}{x^{2}+3 x}}}{\left(3+x \right) x}$&$114$\\ \hline \end{longtable}"," ",0,"exp((9*x^4+12*x^3+4*x^2+3)^2/(3+x)/x)","A"
4628,1,38,26,0.176000," ","int(((-x^3-3*x^2-4*x)*ln(3)-2*x^4-5*x^3-3*x^2+4*x-4)*exp(((-x^3-2*x^2)*ln(3)-x^4-x^3-5*x^2-14*x-5)/(x^2+2*x+1))/(x^3+3*x^2+3*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x^{3} \ln \left(3\right)+x^{4}+2 x^{2} \ln \left(3\right)+x^{3}+5 x^{2}+14 x +5}{\left(x +1\right)^{2}}}$&$38$\\ gosper&${\mathrm e}^{-\frac{x^{3} \ln \left(3\right)+x^{4}+2 x^{2} \ln \left(3\right)+x^{3}+5 x^{2}+14 x +5}{x^{2}+2 x +1}}$&$43$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{\left(-x^{3}-2 x^{2}\right) \ln \left(3\right)-x^{4}-x^{3}-5 x^{2}-14 x -5}{x^{2}+2 x +1}}+2 x \,{\mathrm e}^{\frac{\left(-x^{3}-2 x^{2}\right) \ln \left(3\right)-x^{4}-x^{3}-5 x^{2}-14 x -5}{x^{2}+2 x +1}}+{\mathrm e}^{\frac{\left(-x^{3}-2 x^{2}\right) \ln \left(3\right)-x^{4}-x^{3}-5 x^{2}-14 x -5}{x^{2}+2 x +1}}}{\left(x +1\right)^{2}}$&$153$\\ \hline \end{longtable}"," ",0,"exp(-(x^3*ln(3)+x^4+2*x^2*ln(3)+x^3+5*x^2+14*x+5)/(x+1)^2)","A"
4629,1,36,29,0.075000," ","int(((x^4*ln(x)^2+(-18*x^2*ln(2)-2*x^5-18*x^3-6*x^2)*ln(x)+81*ln(2)^2+(18*x^3+162*x)*ln(2)+x^6+18*x^4+9*x^3+78*x^2+27*x)*exp(-3/(x^2*ln(x)-9*ln(2)-x^3-9*x))-x^4*ln(x)^3+(18*x^2*ln(2)+2*x^5+x^4+18*x^3)*ln(x)^2+(-81*ln(2)^2+(-18*x^3-18*x^2-162*x)*ln(2)-x^6-2*x^5-18*x^4-18*x^3-81*x^2)*ln(x)+81*ln(2)^2+(18*x^3+162*x)*ln(2)+x^6+18*x^4+81*x^2)/(x^6*ln(x)^2+(-18*x^4*ln(2)-2*x^7-18*x^5)*ln(x)+81*x^2*ln(2)^2+(18*x^5+162*x^3)*ln(2)+x^8+18*x^6+81*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{x}-\frac{{\mathrm e}^{\frac{3}{-x^{2} \ln \left(x \right)+9 \ln \left(2\right)+x^{3}+9 x}}}{x}$&$36$\\ \hline \end{longtable}"," ",0,"ln(x)/x-1/x*exp(3/(-x^2*ln(x)+9*ln(2)+x^3+9*x))","A"
4630,1,10,11,0.021000," ","int(1/4*ln(18*x*ln(2))+1/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{\ln \left(18 x \ln \left(2\right)\right) x}{4}$&$10$\\ default&$\frac{\ln \left(18 x \ln \left(2\right)\right) x}{4}$&$10$\\ norman&$\frac{\ln \left(18 x \ln \left(2\right)\right) x}{4}$&$10$\\ risch&$\frac{\ln \left(18 x \ln \left(2\right)\right) x}{4}$&$10$\\ \hline \end{longtable}"," ",0,"1/4*ln(18*x*ln(2))*x","A"
4631,1,18,20,0.059000," ","int(1/4*((2312*x-1156)*exp(x)^2-289*x^2+289*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{289 x}{4}+\frac{289 \ln \left(x \right)}{4}+\frac{289 \,{\mathrm e}^{2 x}}{x}$&$18$\\ risch&$-\frac{289 x}{4}+\frac{289 \ln \left(x \right)}{4}+\frac{289 \,{\mathrm e}^{2 x}}{x}$&$18$\\ norman&$\frac{-\frac{289 x^{2}}{4}+289 \,{\mathrm e}^{2 x}}{x}+\frac{289 \ln \left(x \right)}{4}$&$22$\\ \hline \end{longtable}"," ",0,"-289/4*x+289/4*ln(x)+289*exp(x)^2/x","A"
4632,1,31,27,0.056000," ","int(((exp(ln(4*ln(5)+4)-x)^2-x)*ln(exp(ln(4*ln(5)+4)-x)^2-x)^2+(-4*x*exp(ln(4*ln(5)+4)-x)^2+4*x^2)*ln(exp(ln(4*ln(5)+4)-x)^2-x)+(4*x^2+4)*exp(ln(4*ln(5)+4)-x)^2-4*x^3-2*x+1)/((exp(ln(4*ln(5)+4)-x)^2-x)*ln(exp(ln(4*ln(5)+4)-x)^2-x)^2+(-4*x*exp(ln(4*ln(5)+4)-x)^2+4*x^2)*ln(exp(ln(4*ln(5)+4)-x)^2-x)+4*x^2*exp(ln(4*ln(5)+4)-x)^2-4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{1}{2 x -\ln \left(\left(4 \ln \left(5\right)+4\right)^{2} {\mathrm e}^{-2 x}-x \right)}$&$31$\\ \hline \end{longtable}"," ",0,"x-1/(2*x-ln((4*ln(5)+4)^2*exp(-2*x)-x))","A"
4633,1,36,22,0.170000," ","int((2*x*exp(2)^2-4*x^2*exp(2)-6*x*exp(1)-8*x)/(exp(2)^4-8*x*exp(2)^3+(-6*exp(1)+24*x^2-8)*exp(2)^2+(24*x*exp(1)-32*x^3+32*x)*exp(2)+9*exp(1)^2+(-24*x^2+24)*exp(1)+16*x^4-32*x^2+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2} x -\frac{{\mathrm e}^{4}}{4}+\frac{3 \,{\mathrm e}}{4}+1}{{\mathrm e}^{4}-4 \,{\mathrm e}^{2} x +4 x^{2}-3 \,{\mathrm e}-4}$&$36$\\ gosper&$-\frac{{\mathrm e}^{4}-4 \,{\mathrm e}^{2} x -3 \,{\mathrm e}-4}{4 \left({\mathrm e}^{4}-4 \,{\mathrm e}^{2} x +4 x^{2}-3 \,{\mathrm e}-4\right)}$&$40$\\ norman&$\frac{{\mathrm e}^{2} x -\frac{{\mathrm e}^{4}}{4}+\frac{3 \,{\mathrm e}}{4}+1}{{\mathrm e}^{4}-4 \,{\mathrm e}^{2} x +4 x^{2}-3 \,{\mathrm e}-4}$&$40$\\ default&$\frac{\left(\munderset{\textit{\_R} =\RootOf \left(16 \textit{\_Z}^{4}-32 \textit{\_Z}^{3} {\mathrm e}^{2}+\left(24 \,{\mathrm e}^{4}-24 \,{\mathrm e}-32\right) \textit{\_Z}^{2}+\left(32 \,{\mathrm e}^{2}+24 \,{\mathrm e}^{3}-8 \,{\mathrm e}^{6}\right) \textit{\_Z} -6 \,{\mathrm e}^{5}+9 \,{\mathrm e}^{2}-8 \,{\mathrm e}^{4}+24 \,{\mathrm e}+{\mathrm e}^{8}+16\right)}{\sum}\frac{\left(2 \textit{\_R}^{2} {\mathrm e}^{2}+\left(4-{\mathrm e}^{4}+3 \,{\mathrm e}\right) \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{12 \textit{\_R}^{2} {\mathrm e}^{2}-8 \textit{\_R}^{3}-6 \textit{\_R} \,{\mathrm e}^{4}+6 \textit{\_R} \,{\mathrm e}-4 \,{\mathrm e}^{2}-3 \,{\mathrm e}^{3}+{\mathrm e}^{6}+8 \textit{\_R}}\right)}{4}$&$133$\\ \hline \end{longtable}"," ",0,"(exp(2)*x-1/4*exp(4)+3/4*exp(1)+1)/(exp(4)-4*exp(2)*x+4*x^2-3*exp(1)-4)","A"
4634,1,6,14,0.018000," ","int(1/25*exp(2)/exp(3*ln(2)+10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-8} x}{200}$&$6$\\ norman&$\frac{{\mathrm e}^{2} {\mathrm e}^{-10} x}{200}$&$10$\\ default&$\frac{{\mathrm e}^{2} {\mathrm e}^{-10} x}{200}$&$15$\\ \hline \end{longtable}"," ",0,"1/200*exp(-8)*x","A"
4635,1,22,34,0.108000," ","int(((x^2+8*x+16)*ln(2*x)^2+(2*x^2+16*x+32)*ln(2*x)-4*x^2-32*x-62)/(x^2+8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x \ln \left(2 x \right)^{2}-4 x -\frac{4}{2 x +8}$&$22$\\ default&$x \ln \left(2 x \right)^{2}-4 x -\frac{4}{2 x +8}$&$22$\\ risch&$x \ln \left(2 x \right)^{2}-\frac{2 \left(2 x^{2}+8 x +1\right)}{4+x}$&$27$\\ norman&$\frac{x^{2} \ln \left(2 x \right)^{2}-4 x^{2}+4 x \ln \left(2 x \right)^{2}+62}{4+x}$&$33$\\ \hline \end{longtable}"," ",0,"x*ln(2*x)^2-4*x-4/(2*x+8)","A"
4636,1,17,19,0.020000," ","int((8*x^3-2*x)*ln(2)+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \left(2 x^{3} \ln \left(2\right)-x \ln \left(2\right)+2\right)$&$17$\\ default&$\ln \left(2\right) \left(2 x^{4}-x^{2}\right)+2 x$&$19$\\ norman&$2 x -x^{2} \ln \left(2\right)+2 x^{4} \ln \left(2\right)$&$19$\\ risch&$2 x -x^{2} \ln \left(2\right)+2 x^{4} \ln \left(2\right)$&$19$\\ \hline \end{longtable}"," ",0,"x*(2*x^3*ln(2)-x*ln(2)+2)","A"
4637,1,23,20,0.051000," ","int(((3*exp(x)*x+x^2-2*x-15)*ln(4*exp(x)*x+4/3*x^2-8/3*x-20)+(3*x^2+12*x)*exp(x)+5*x^2-8*x-45)/(3*exp(x)*x+x^2-2*x-15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(4 \,{\mathrm e}^{x} x +\frac{4 x^{2}}{3}-\frac{8 x}{3}-20\right) x +3 x$&$23$\\ risch&$\ln \left(4 \,{\mathrm e}^{x} x +\frac{4 x^{2}}{3}-\frac{8 x}{3}-20\right) x +3 x$&$23$\\ \hline \end{longtable}"," ",0,"ln(4*exp(x)*x+4/3*x^2-8/3*x-20)*x+3*x","A"
4638,1,26,19,0.138000," ","int(((x^4+3*x^3)*ln(3+x)^3+(-8*x^2-24*x)*ln(3)*ln(3+x)^2+(-8*x^2*ln(3)-8*x-24)*ln(3+x)-8*x)/(4*x^4+12*x^3)/ln(3+x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{4}+\frac{2 x \ln \left(3\right) \ln \left(3+x \right)+1}{x^{2} \ln \left(3+x \right)^{2}}$&$26$\\ norman&$\frac{1+\frac{x^{3} \ln \left(3+x \right)^{2}}{4}+2 x \ln \left(3\right) \ln \left(3+x \right)}{\ln \left(3+x \right)^{2} x^{2}}$&$33$\\ \hline \end{longtable}"," ",0,"1/4*x+1/x^2*(2*x*ln(3)*ln(3+x)+1)/ln(3+x)^2","A"
4639,1,10,14,0.014000," ","int(-1-ln(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -x \ln \left(x^{2}\right)$&$10$\\ norman&$x -x \ln \left(x^{2}\right)$&$10$\\ risch&$x -x \ln \left(x^{2}\right)$&$10$\\ \hline \end{longtable}"," ",0,"x-x*ln(x^2)","A"
4640,1,21,18,0.062000," ","int((((-3-x)*ln(x)+x^3+4*x^2+x+3)*exp(ln(x)/x)+6*x^2)/((x^3+3*x^2)*exp(ln(x)/x)+6*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(3+x \right)+\ln \left(x^{\frac{1}{x}}+\frac{6}{3+x}\right)$&$21$\\ norman&$x +\ln \left({\mathrm e}^{\frac{\ln \left(x \right)}{x}} x +3 \,{\mathrm e}^{\frac{\ln \left(x \right)}{x}}+6\right)$&$24$\\ \hline \end{longtable}"," ",0,"x+ln(3+x)+ln(x^(1/x)+6/(3+x))","A"
4641,1,23,21,0.084000," ","int(((8*x^2+28*x+12)*ln(5)+(9*x+31)*exp(3))/(4*x+12)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-3} \ln \left(5\right) x^{2}+\frac{9 x}{4}+{\mathrm e}^{-3} x \ln \left(5\right)+\ln \left(3+x \right)$&$23$\\ norman&${\mathrm e}^{-3} \ln \left(5\right) x^{2}+\frac{\left(9 \,{\mathrm e}^{3}+4 \ln \left(5\right)\right) {\mathrm e}^{-3} x}{4}+\ln \left(3+x \right)$&$32$\\ default&$\frac{{\mathrm e}^{-3} \left(4 x^{2} \ln \left(5\right)+9 x \,{\mathrm e}^{3}+4 x \ln \left(5\right)+4 \,{\mathrm e}^{3} \ln \left(3+x \right)\right)}{4}$&$33$\\ meijerg&$18 \,{\mathrm e}^{-3} \ln \left(5\right) \left(-\frac{x \left(-x +6\right)}{18}+\ln \left(1+\frac{x}{3}\right)\right)+9 \left(\frac{3 \,{\mathrm e}^{3}}{4}+\frac{7 \ln \left(5\right)}{3}\right) {\mathrm e}^{-3} \left(\frac{x}{3}-\ln \left(1+\frac{x}{3}\right)\right)+\frac{31 \ln \left(1+\frac{x}{3}\right)}{4}+3 \,{\mathrm e}^{-3} \ln \left(5\right) \ln \left(1+\frac{x}{3}\right)$&$68$\\ \hline \end{longtable}"," ",0,"exp(-3)*ln(5)*x^2+9/4*x+exp(-3)*x*ln(5)+ln(3+x)","A"
4642,1,23,23,0.066000," ","int((((4*x^2-2*x+4)*exp(4)-4*x^3-50*x^2+24*x-52)*exp(x^2-x)+40*exp(4)-20*x-520)/(x^3*exp(x^2-x)^2+20*x^3*exp(x^2-x)+100*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(-x -13+{\mathrm e}^{4}\right)}{x^{2} \left({\mathrm e}^{x \left(x -1\right)}+10\right)}$&$23$\\ norman&$\frac{2 x +26-2 \,{\mathrm e}^{4}}{x^{2} \left({\mathrm e}^{x^{2}-x}+10\right)}$&$26$\\ \hline \end{longtable}"," ",0,"-2*(-x-13+exp(4))/x^2/(exp(x*(x-1))+10)","A"
4643,0,0,34,0.214000," ","int(((128*x^7*exp(3)^3+(-96*x^8+3456*x^7+3968*x^6+1536*x^5)*exp(3)^2+(24*x^9-1728*x^8+28960*x^7+70656*x^6+59904*x^5+26624*x^4+6144*x^3)*exp(3)-2*x^10+216*x^9-7488*x^8+74112*x^7+305312*x^6+407424*x^5+313344*x^4+148480*x^3+43008*x^2+8192*x)*ln(x^2)^2+((-384*x^8+256*x^7)*exp(3)^3+(288*x^9-10560*x^8-4352*x^7+2048*x^6+3072*x^5)*exp(3)^2+(-72*x^10+5232*x^9-90816*x^8-141568*x^7-56960*x^6+30976*x^5+34816*x^4+12288*x^3)*exp(3)+6*x^11-652*x^10+22976*x^9-241792*x^8-709472*x^7-671168*x^6-204544*x^5+163328*x^4+193536*x^3+81920*x^2+16384*x)*ln(x^2)+(256*x^9-256*x^8)*exp(3)^3+(-192*x^10+7104*x^9+384*x^8-3584*x^7-3072*x^6)*exp(3)^2+(48*x^11-3504*x^10+61856*x^9+70912*x^8-2944*x^7-57600*x^6-40960*x^5-12288*x^4)*exp(3)-4*x^12+436*x^11-15488*x^10+167680*x^9+404160*x^8+263744*x^7-108800*x^6-311808*x^5-236544*x^4-90112*x^3-16384*x^2)/(64*x^6*exp(3)^3+(-48*x^7+1728*x^6+2304*x^5+768*x^4)*exp(3)^2+(12*x^8-864*x^7+14400*x^6+41088*x^5+41472*x^4+18432*x^3+3072*x^2)*exp(3)-x^9+108*x^8-3744*x^7+36336*x^6+176256*x^5+306432*x^4+275712*x^3+138240*x^2+36864*x+4096),x)","\[\int \frac{\left(128 x^{7} {\mathrm e}^{9}+\left(-96 x^{8}+3456 x^{7}+3968 x^{6}+1536 x^{5}\right) {\mathrm e}^{6}+\left(24 x^{9}-1728 x^{8}+28960 x^{7}+70656 x^{6}+59904 x^{5}+26624 x^{4}+6144 x^{3}\right) {\mathrm e}^{3}-2 x^{10}+216 x^{9}-7488 x^{8}+74112 x^{7}+305312 x^{6}+407424 x^{5}+313344 x^{4}+148480 x^{3}+43008 x^{2}+8192 x \right) \ln \left(x^{2}\right)^{2}+\left(\left(-384 x^{8}+256 x^{7}\right) {\mathrm e}^{9}+\left(288 x^{9}-10560 x^{8}-4352 x^{7}+2048 x^{6}+3072 x^{5}\right) {\mathrm e}^{6}+\left(-72 x^{10}+5232 x^{9}-90816 x^{8}-141568 x^{7}-56960 x^{6}+30976 x^{5}+34816 x^{4}+12288 x^{3}\right) {\mathrm e}^{3}+6 x^{11}-652 x^{10}+22976 x^{9}-241792 x^{8}-709472 x^{7}-671168 x^{6}-204544 x^{5}+163328 x^{4}+193536 x^{3}+81920 x^{2}+16384 x \right) \ln \left(x^{2}\right)+\left(256 x^{9}-256 x^{8}\right) {\mathrm e}^{9}+\left(-192 x^{10}+7104 x^{9}+384 x^{8}-3584 x^{7}-3072 x^{6}\right) {\mathrm e}^{6}+\left(48 x^{11}-3504 x^{10}+61856 x^{9}+70912 x^{8}-2944 x^{7}-57600 x^{6}-40960 x^{5}-12288 x^{4}\right) {\mathrm e}^{3}-4 x^{12}+436 x^{11}-15488 x^{10}+167680 x^{9}+404160 x^{8}+263744 x^{7}-108800 x^{6}-311808 x^{5}-236544 x^{4}-90112 x^{3}-16384 x^{2}}{64 x^{6} {\mathrm e}^{9}+\left(-48 x^{7}+1728 x^{6}+2304 x^{5}+768 x^{4}\right) {\mathrm e}^{6}+\left(12 x^{8}-864 x^{7}+14400 x^{6}+41088 x^{5}+41472 x^{4}+18432 x^{3}+3072 x^{2}\right) {\mathrm e}^{3}-x^{9}+108 x^{8}-3744 x^{7}+36336 x^{6}+176256 x^{5}+306432 x^{4}+275712 x^{3}+138240 x^{2}+36864 x +4096}\, dx\]"," ",0,"int(((128*x^7*exp(3)^3+(-96*x^8+3456*x^7+3968*x^6+1536*x^5)*exp(3)^2+(24*x^9-1728*x^8+28960*x^7+70656*x^6+59904*x^5+26624*x^4+6144*x^3)*exp(3)-2*x^10+216*x^9-7488*x^8+74112*x^7+305312*x^6+407424*x^5+313344*x^4+148480*x^3+43008*x^2+8192*x)*ln(x^2)^2+((-384*x^8+256*x^7)*exp(3)^3+(288*x^9-10560*x^8-4352*x^7+2048*x^6+3072*x^5)*exp(3)^2+(-72*x^10+5232*x^9-90816*x^8-141568*x^7-56960*x^6+30976*x^5+34816*x^4+12288*x^3)*exp(3)+6*x^11-652*x^10+22976*x^9-241792*x^8-709472*x^7-671168*x^6-204544*x^5+163328*x^4+193536*x^3+81920*x^2+16384*x)*ln(x^2)+(256*x^9-256*x^8)*exp(3)^3+(-192*x^10+7104*x^9+384*x^8-3584*x^7-3072*x^6)*exp(3)^2+(48*x^11-3504*x^10+61856*x^9+70912*x^8-2944*x^7-57600*x^6-40960*x^5-12288*x^4)*exp(3)-4*x^12+436*x^11-15488*x^10+167680*x^9+404160*x^8+263744*x^7-108800*x^6-311808*x^5-236544*x^4-90112*x^3-16384*x^2)/(64*x^6*exp(3)^3+(-48*x^7+1728*x^6+2304*x^5+768*x^4)*exp(3)^2+(12*x^8-864*x^7+14400*x^6+41088*x^5+41472*x^4+18432*x^3+3072*x^2)*exp(3)-x^9+108*x^8-3744*x^7+36336*x^6+176256*x^5+306432*x^4+275712*x^3+138240*x^2+36864*x+4096),x)","F"
4644,1,9,15,0.018000," ","int(((x-1)*exp(x)-11)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{11+{\mathrm e}^{x}}{x}$&$9$\\ default&$\frac{11}{x}+\frac{{\mathrm e}^{x}}{x}$&$13$\\ risch&$\frac{11}{x}+\frac{{\mathrm e}^{x}}{x}$&$13$\\ \hline \end{longtable}"," ",0,"(11+exp(x))/x","A"
4645,1,23,22,0.107000," ","int((4*ln(exp(5)-5)^2+x*ln(1/16*x^4)-11*x)/(x*ln(exp(5)-5)^4-2*x^2*ln(exp(5)-5)^2+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-7+\ln \left(\frac{x^{4}}{16}\right)}{\ln \left({\mathrm e}^{5}-5\right)^{2}-x}$&$23$\\ risch&$\frac{\ln \left(\frac{x^{4}}{16}\right)}{\ln \left({\mathrm e}^{5}-5\right)^{2}-x}-\frac{7}{\ln \left({\mathrm e}^{5}-5\right)^{2}-x}$&$37$\\ default&$\frac{x \ln \left(x^{4}\right)}{\ln \left({\mathrm e}^{5}-5\right)^{2} \left(\ln \left({\mathrm e}^{5}-5\right)^{2}-x \right)}+\frac{4 \ln \left(\ln \left({\mathrm e}^{5}-5\right)^{2}-x \right)}{\ln \left({\mathrm e}^{5}-5\right)^{2}}+\frac{7}{-\ln \left({\mathrm e}^{5}-5\right)^{2}+x}-\frac{4 \ln \left(-\ln \left({\mathrm e}^{5}-5\right)^{2}+x \right)}{\ln \left({\mathrm e}^{5}-5\right)^{2}}+\frac{4 \ln \left(x \right)}{\ln \left({\mathrm e}^{5}-5\right)^{2}}+\frac{4 \ln \left(2\right)}{-\ln \left({\mathrm e}^{5}-5\right)^{2}+x}$&$113$\\ \hline \end{longtable}"," ",0,"(-7+ln(1/16*x^4))/(ln(exp(5)-5)^2-x)","A"
4646,1,11,10,0.015000," ","int(-8/x/ln(4/3*x^3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{8}{3 \ln \left(\frac{4 x^{3}}{3}\right)}$&$11$\\ default&$\frac{8}{3 \ln \left(\frac{4 x^{3}}{3}\right)}$&$11$\\ norman&$\frac{8}{3 \ln \left(\frac{4 x^{3}}{3}\right)}$&$11$\\ risch&$\frac{8}{3 \ln \left(\frac{4 x^{3}}{3}\right)}$&$11$\\ \hline \end{longtable}"," ",0,"8/3/ln(4/3*x^3)","A"
4647,1,19,14,0.051000," ","int(1/2*((-2*x^2-3)*exp(1/2*(-2*x^2-6*x+3)/x)+2*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-\frac{2 x^{2}+6 x -3}{2 x}}$&$19$\\ norman&$\frac{x^{2}+x \,{\mathrm e}^{\frac{-2 x^{2}-6 x +3}{2 x}}}{x}$&$27$\\ \hline \end{longtable}"," ",0,"x+exp(-1/2*(2*x^2+6*x-3)/x)","A"
4648,1,108,31,0.282000," ","int((3*ln(2*x)*ln(25/ln(2*x)^2)+((-3*x^2-18*x-27)*ln(2)+2*x^2+12*x+18)*ln(2*x)-2*x-6)/((3*x^2+9*x)*ln(2*x)*ln(25/ln(2*x)^2)+((-9*x^3-54*x^2-81*x)*ln(2)+6*x^3+36*x^2+54*x)*ln(2*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{3}-\frac{\ln \left(3+x \right)}{3}+\frac{\ln \left(\ln \left(\ln \left(2 x \right)\right)+\frac{i \left(-\pi  \mathrm{csgn}\left(i \ln \left(2 x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(2 x \right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \ln \left(2 x \right)\right) \mathrm{csgn}\left(i \ln \left(2 x \right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \ln \left(2 x \right)^{2}\right)^{3}-6 i x \ln \left(2\right)-18 i \ln \left(2\right)+4 i \ln \left(5\right)+4 i x +12 i\right)}{4}\right)}{3}$&$108$\\ \hline \end{longtable}"," ",0,"1/3*ln(x)-1/3*ln(3+x)+1/3*ln(ln(ln(2*x))+1/4*I*(-Pi*csgn(I*ln(2*x))^2*csgn(I*ln(2*x)^2)+2*Pi*csgn(I*ln(2*x))*csgn(I*ln(2*x)^2)^2-Pi*csgn(I*ln(2*x)^2)^3-6*I*x*ln(2)-18*I*ln(2)+4*I*ln(5)+4*I*x+12*I))","C"
4649,1,88,24,0.042000," ","int((-2*x-1)*ln(2)^2*exp(x)^2+((8*x+8)*ln(2)^2+(2*x^3+8*x^2+2*x-2)*ln(2))*exp(x)-16*ln(2)^2+(-24*x^2-16*x+8)*ln(2)-5*x^4-8*x^3+3*x^2+2*x+20,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(2\right)^{2} {\mathrm e}^{2 x}+\left(2 x^{3} \ln \left(2\right)+8 x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)-2 x \ln \left(2\right)\right) {\mathrm e}^{x}-16 x \ln \left(2\right)^{2}-8 x^{3} \ln \left(2\right)-8 x^{2} \ln \left(2\right)+8 x \ln \left(2\right)-x^{5}-2 x^{4}+x^{3}+x^{2}+20 x$&$88$\\ norman&$\left(-8 \ln \left(2\right)+1\right) x^{2}+\left(-8 \ln \left(2\right)+1\right) x^{3}+\left(-16 \ln \left(2\right)^{2}+8 \ln \left(2\right)+20\right) x +\left(8 \ln \left(2\right)^{2}-2 \ln \left(2\right)\right) x \,{\mathrm e}^{x}-2 x^{4}-x^{5}-x \ln \left(2\right)^{2} {\mathrm e}^{2 x}+2 x^{2} \ln \left(2\right) {\mathrm e}^{x}+2 x^{3} \ln \left(2\right) {\mathrm e}^{x}$&$90$\\ default&$20 x +2 x^{2} \ln \left(2\right) {\mathrm e}^{x}-2 x \ln \left(2\right) {\mathrm e}^{x}+2 x^{3} \ln \left(2\right) {\mathrm e}^{x}+8 x \ln \left(2\right)^{2} {\mathrm e}^{x}-8 x^{3} \ln \left(2\right)-8 x^{2} \ln \left(2\right)+8 x \ln \left(2\right)-x \ln \left(2\right)^{2} {\mathrm e}^{2 x}+x^{2}+x^{3}-2 x^{4}-x^{5}-16 x \ln \left(2\right)^{2}$&$92$\\ \hline \end{longtable}"," ",0,"-x*ln(2)^2*exp(2*x)+(2*x^3*ln(2)+8*x*ln(2)^2+2*x^2*ln(2)-2*x*ln(2))*exp(x)-16*x*ln(2)^2-8*x^3*ln(2)-8*x^2*ln(2)+8*x*ln(2)-x^5-2*x^4+x^3+x^2+20*x","B"
4650,1,15,18,0.064000," ","int(1/21*((8*x^2-4*x)*ln(x)+exp(x)^2)*exp(-4*x/exp(x)^2)*exp(ln(x)*exp(-4*x/exp(x)^2)+1)/x/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{{\mathrm e}^{-4 x \,{\mathrm e}^{-2 x}}} {\mathrm e}}{21}$&$15$\\ \hline \end{longtable}"," ",0,"1/21*x^exp(-4*x*exp(-2*x))*exp(1)","A"
4651,1,17,16,0.151000," ","int((-x^2+2*x+6)*exp(ln(-2/3*x^2+4)+exp(1)-3-x)/(x^2-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\ln \left(-\frac{2 x^{2}}{3}+4\right)+{\mathrm e}-3-x}$&$17$\\ norman&${\mathrm e}^{\ln \left(-\frac{2 x^{2}}{3}+4\right)+{\mathrm e}-3-x}$&$17$\\ risch&$\left(-\frac{2 x^{2}}{3}+4\right) {\mathrm e}^{{\mathrm e}-3-x}$&$17$\\ default&$\text{Expression too large to display}$&$5846$\\ \hline \end{longtable}"," ",0,"exp(ln(-2/3*x^2+4)+exp(1)-3-x)","A"
4652,1,15,18,0.043000," ","int((4*x^2*exp(2)*exp(4+x)+12*exp(2))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{12 \,{\mathrm e}^{2}}{x}+4 \,{\mathrm e}^{x +6}$&$15$\\ norman&$\frac{4 x \,{\mathrm e}^{2} {\mathrm e}^{4+x}-12 \,{\mathrm e}^{2}}{x}$&$19$\\ derivativedivides&$4 \,{\mathrm e}^{2} \left({\mathrm e}^{4+x}-24 \,{\mathrm e}^{4} \expIntegralEi \left(1, -x \right)-\frac{16 \,{\mathrm e}^{4+x}}{x}\right)-\frac{12 \,{\mathrm e}^{2}}{x}+64 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{4+x}}{x}-{\mathrm e}^{4} \expIntegralEi \left(1, -x \right)\right)-32 \,{\mathrm e}^{2} \left(-5 \,{\mathrm e}^{4} \expIntegralEi \left(1, -x \right)-\frac{4 \,{\mathrm e}^{4+x}}{x}\right)$&$82$\\ default&$4 \,{\mathrm e}^{2} \left({\mathrm e}^{4+x}-24 \,{\mathrm e}^{4} \expIntegralEi \left(1, -x \right)-\frac{16 \,{\mathrm e}^{4+x}}{x}\right)-\frac{12 \,{\mathrm e}^{2}}{x}+64 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{4+x}}{x}-{\mathrm e}^{4} \expIntegralEi \left(1, -x \right)\right)-32 \,{\mathrm e}^{2} \left(-5 \,{\mathrm e}^{4} \expIntegralEi \left(1, -x \right)-\frac{4 \,{\mathrm e}^{4+x}}{x}\right)$&$82$\\ \hline \end{longtable}"," ",0,"-12*exp(2)/x+4*exp(x+6)","A"
4653,1,12,15,0.016000," ","int(2*x*ln(3)-4410*x+17640,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \left(x \ln \left(3\right)-2205 x +17640\right)$&$12$\\ norman&$\left(\ln \left(3\right)-2205\right) x^{2}+17640 x$&$13$\\ default&$x^{2} \ln \left(3\right)-2205 x^{2}+17640 x$&$16$\\ risch&$x^{2} \ln \left(3\right)-2205 x^{2}+17640 x$&$16$\\ \hline \end{longtable}"," ",0,"x*(x*ln(3)-2205*x+17640)","A"
4654,1,22,27,0.249000," ","int(((x^4-4*x^2+4)*exp(exp(2)/(x^2-2))^2+(4*x^2*exp(2)+12*x^4-48*x^2+48)*exp(exp(2)/(x^2-2))+35*x^4-140*x^2+140)/((2*x^4-8*x^2+8)*exp(exp(2)/(x^2-2))^2+(20*x^4-80*x^2+80)*exp(exp(2)/(x^2-2))+50*x^4-200*x^2+200),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{2}+\frac{x}{{\mathrm e}^{\frac{{\mathrm e}^{2}}{x^{2}-2}}+5}$&$22$\\ norman&$\frac{-7 x +\frac{7 x^{3}}{2}-{\mathrm e}^{\frac{{\mathrm e}^{2}}{x^{2}-2}} x +\frac{{\mathrm e}^{\frac{{\mathrm e}^{2}}{x^{2}-2}} x^{3}}{2}}{\left({\mathrm e}^{\frac{{\mathrm e}^{2}}{x^{2}-2}}+5\right) \left(x^{2}-2\right)}$&$63$\\ \hline \end{longtable}"," ",0,"1/2*x+x/(exp(exp(2)/(x^2-2))+5)","A"
4655,1,28,24,0.077000," ","int(((2*x+18)*ln(3)+(-2*x-18)*exp(5/3)-3)/(2*x^2*ln(3)-2*x^2*exp(5/3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{3 \left(6 \ln \left(3\right)-6 \,{\mathrm e}^{\frac{5}{3}}-1\right)}{2 \left(\ln \left(3\right)-{\mathrm e}^{\frac{5}{3}}\right) x}+\ln \left(x \right)$&$28$\\ default&$\frac{-\frac{18 \ln \left(3\right)-18 \,{\mathrm e}^{\frac{5}{3}}-3}{x}+\left(2 \ln \left(3\right)-2 \,{\mathrm e}^{\frac{5}{3}}\right) \ln \left(x \right)}{2 \ln \left(3\right)-2 \,{\mathrm e}^{\frac{5}{3}}}$&$40$\\ risch&$-\frac{9 \ln \left(3\right)}{x \left(\ln \left(3\right)-{\mathrm e}^{\frac{5}{3}}\right)}+\frac{9 \,{\mathrm e}^{\frac{5}{3}}}{x \left(\ln \left(3\right)-{\mathrm e}^{\frac{5}{3}}\right)}+\frac{3}{2 x \left(\ln \left(3\right)-{\mathrm e}^{\frac{5}{3}}\right)}+\ln \left(x \right)$&$50$\\ \hline \end{longtable}"," ",0,"-3/2*(6*ln(3)-6*exp(5/3)-1)/(ln(3)-exp(5/3))/x+ln(x)","A"
4656,1,12,12,0.020000," ","int(800/99*x*exp(-400/99*x^2)*exp(exp(-400/99*x^2))+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{{\mathrm e}^{-\frac{400 x^{2}}{99}}}$&$12$\\ norman&$x -{\mathrm e}^{{\mathrm e}^{-\frac{400 x^{2}}{99}}}$&$12$\\ risch&$x -{\mathrm e}^{{\mathrm e}^{-\frac{400 x^{2}}{99}}}$&$12$\\ \hline \end{longtable}"," ",0,"x-exp(exp(-400/99*x^2))","A"
4657,1,7,25,0.079000," ","int(3/(45*x^2-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline meijerg&$-\frac{\arctanh \left(3 x \right)}{5}$&$7$\\ default&$\frac{\ln \left(3 x -1\right)}{10}-\frac{\ln \left(3 x +1\right)}{10}$&$18$\\ norman&$\frac{\ln \left(3 x -1\right)}{10}-\frac{\ln \left(3 x +1\right)}{10}$&$18$\\ risch&$\frac{\ln \left(3 x -1\right)}{10}-\frac{\ln \left(3 x +1\right)}{10}$&$18$\\ \hline \end{longtable}"," ",0,"-1/5*arctanh(3*x)","A"
4658,1,22,22,0.206000," ","int(((-6*x+2)*ln(5)*exp(x)^3-8*x^2*ln(5)*exp(x)^2+(-4*x+4)*ln(5)*exp(x))/(exp(x)^6+4*x*exp(x)^5+(4*x^2+4)*exp(x)^4+16*x*exp(x)^3+(16*x^2+4)*exp(x)^2+16*exp(x)*x+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x \ln \left(5\right)}{\left(2+{\mathrm e}^{2 x}\right) \left({\mathrm e}^{x}+2 x \right)}$&$22$\\ risch&$\frac{2 \ln \left(5\right) x}{{\mathrm e}^{3 x}+2 x \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x}+4 x}$&$27$\\ \hline \end{longtable}"," ",0,"2*x*ln(5)/(2+exp(x)^2)/(exp(x)+2*x)","A"
4659,1,40,23,0.080000," ","int(((24*x^3-47*x^2-1528*x+16)*ln(x)^2+(9*x^4-48*x^3-576*x^2)*ln(x)-3*x^4+36*x^3+192*x^2)/(x^2+8*x+16)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-16 \ln \left(x \right)-48 x^{3}+3 x^{4}-191 x^{2} \ln \left(x \right)+12 x^{3} \ln \left(x \right)}{\left(4+x \right) \ln \left(x \right)}$&$40$\\ risch&$\frac{12 x^{3}-191 x^{2}-956 x -3840}{4+x}+\frac{3 x^{3} \left(x -16\right)}{\left(4+x \right) \ln \left(x \right)}$&$40$\\ \hline \end{longtable}"," ",0,"(-16*ln(x)-48*x^3+3*x^4-191*x^2*ln(x)+12*x^3*ln(x))/(4+x)/ln(x)","A"
4660,1,17,21,0.015000," ","int(-16128*x^2*ln(x)^2-10752*x^2*ln(x)+10750*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5375 x^{2}+x -5376 x^{3} \ln \left(x \right)^{2}$&$17$\\ norman&$5375 x^{2}+x -5376 x^{3} \ln \left(x \right)^{2}$&$17$\\ risch&$5375 x^{2}+x -5376 x^{3} \ln \left(x \right)^{2}$&$17$\\ \hline \end{longtable}"," ",0,"5375*x^2+x-5376*x^3*ln(x)^2","A"
4661,1,17,21,0.024000," ","int((16*exp(4)+2*x-1)*ln(4*ln(2)+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \left(x +16 \,{\mathrm e}^{4}-1\right) \ln \left(4 \ln \left(2\right)+5\right)$&$17$\\ default&$\ln \left(4 \ln \left(2\right)+5\right) \left(16 x \,{\mathrm e}^{4}+x^{2}-x \right)$&$21$\\ risch&$16 \ln \left(4 \ln \left(2\right)+5\right) x \,{\mathrm e}^{4}+\ln \left(4 \ln \left(2\right)+5\right) x^{2}-\ln \left(4 \ln \left(2\right)+5\right) x$&$35$\\ norman&$\left(16 \ln \left(4 \ln \left(2\right)+5\right) {\mathrm e}^{4}-\ln \left(4 \ln \left(2\right)+5\right)\right) x +\ln \left(4 \ln \left(2\right)+5\right) x^{2}$&$36$\\ \hline \end{longtable}"," ",0,"x*(x+16*exp(4)-1)*ln(4*ln(2)+5)","A"
4662,1,112,28,0.107000," ","int(((8*x^2+36*x)*ln(25*x/exp(x))-4*x^3-32*x^2-72*x+108)*exp((4*x^2+36*x+108)*ln(25*x/exp(x))+8*ln(2))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$256 \,{\mathrm e}^{2 \left(x^{2}+9 x +27\right) \left(-i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}+i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)-i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)+2 \ln \left(x \right)-2 \ln \left({\mathrm e}^{x}\right)+4 \ln \left(5\right)\right)}$&$112$\\ \hline \end{longtable}"," ",0,"256*exp(2*(x^2+9*x+27)*(-I*Pi*csgn(I*x*exp(-x))^3+I*Pi*csgn(I*x*exp(-x))^2*csgn(I*x)+I*Pi*csgn(I*x*exp(-x))^2*csgn(I*exp(-x))-I*Pi*csgn(I*x*exp(-x))*csgn(I*x)*csgn(I*exp(-x))+2*ln(x)-2*ln(exp(x))+4*ln(5)))","C"
4663,1,41,27,0.243000," ","int(((2*ln(2)*(x+1)-x^4+2*x^3+4*x^2)*exp(x)+8*x*ln(2)^2+2*(-4*x^4+16*x^2)*ln(2)+2*x^7-16*x^5+32*x^3)/(4*ln(2)^2+2*(-2*x^3+8*x)*ln(2)+x^6-8*x^4+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16 x +{\mathrm e}^{x} x -x^{5}+2 x^{2} \ln \left(2\right)+8 \ln \left(2\right)}{-x^{3}+2 \ln \left(2\right)+4 x}$&$41$\\ default&$x^{2}-\ln \left(2\right) \left(\munderset{\textit{\_R2} =\RootOf \left(\textit{\_Z}^{3}-2 \ln \left(2\right)-4 \textit{\_Z} \right)}{\sum}\frac{\left(9 \textit{\_R2}^{2} \ln \left(2\right)-9 \ln \left(2\right) \textit{\_R2} -24 \ln \left(2\right)-16 \textit{\_R2} +32\right) {\mathrm e}^{\textit{\_R2}} \expIntegralEi \left(1, -x +\textit{\_R2} \right)}{\left(27 \ln \left(2\right)^{2}-64\right) \left(3 \textit{\_R2}^{2}-4\right)}\right)-\ln \left(2\right) \left(\munderset{\textit{\_R2} =\RootOf \left(\textit{\_Z}^{3}-2 \ln \left(2\right)-4 \textit{\_Z} \right)}{\sum}\frac{\left(9 \ln \left(2\right) \textit{\_R2} -12 \textit{\_R2}^{2}-18 \ln \left(2\right)+12 \textit{\_R2} +32\right) {\mathrm e}^{\textit{\_R2}} \expIntegralEi \left(1, -x +\textit{\_R2} \right)}{\left(27 \ln \left(2\right)^{2}-64\right) \left(3 \textit{\_R2}^{2}-4\right)}\right)+\frac{8 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-2 \ln \left(2\right)-4 \textit{\_Z} \right)}{\sum}\frac{\left(45 \ln \left(2\right)^{3} \textit{\_R} +108 \textit{\_R}^{2} \ln \left(2\right)^{2}+8 \ln \left(2\right)^{2}-112 \ln \left(2\right) \textit{\_R} -256 \textit{\_R}^{2}\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}-4}\right)}{54 \ln \left(2\right)^{2}-128}+\frac{32 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-2 \ln \left(2\right)-4 \textit{\_Z} \right)}{\sum}\frac{\left(-27 \textit{\_R}^{2} \ln \left(2\right)^{2}-12 \ln \left(2\right)^{2}+8 \ln \left(2\right) \textit{\_R} +64 \textit{\_R}^{2}\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}-4}\right)}{54 \ln \left(2\right)^{2}-128}-\frac{8 \left(-\frac{\ln \left(2\right) \left(9 \ln \left(2\right)^{2}-16\right) x^{2}}{4 \left(27 \ln \left(2\right)^{2}-64\right)}-\frac{2 \left(13 \ln \left(2\right)^{2}-32\right) x}{27 \ln \left(2\right)^{2}-64}-\frac{4 \ln \left(2\right) \left(3 \ln \left(2\right)^{2}-8\right)}{27 \ln \left(2\right)^{2}-64}\right)}{-\frac{x^{3}}{2}+\ln \left(2\right)+2 x}-\frac{16 \left(\frac{4 \ln \left(2\right) x^{2}}{27 \ln \left(2\right)^{2}-64}+\frac{8 \left(3 \ln \left(2\right)^{2}-8\right) x}{27 \ln \left(2\right)^{2}-64}+\frac{\ln \left(2\right) \left(9 \ln \left(2\right)^{2}-32\right)}{27 \ln \left(2\right)^{2}-64}\right)}{-\frac{x^{3}}{2}+\ln \left(2\right)+2 x}-\frac{24 \ln \left(2\right)^{2} {\mathrm e}^{x}}{\left(27 \ln \left(2\right)^{2}-64\right) \left(-x^{3}+2 \ln \left(2\right)+4 x \right)}+\frac{32 \ln \left(2\right) {\mathrm e}^{x}}{\left(27 \ln \left(2\right)^{2}-64\right) \left(-x^{3}+2 \ln \left(2\right)+4 x \right)}-\frac{{\mathrm e}^{x} \left(9 x^{2} \ln \left(2\right)^{2}+12 \ln \left(2\right)^{2}+8 x \ln \left(2\right)-32 x^{2}\right)}{\left(27 \ln \left(2\right)^{2}-64\right) \left(-x^{3}+2 \ln \left(2\right)+4 x \right)}+\frac{2 \,{\mathrm e}^{x} \left(9 x \ln \left(2\right)^{2}+6 x^{2} \ln \left(2\right)-16 \ln \left(2\right)-32 x \right)}{\left(27 \ln \left(2\right)^{2}-64\right) \left(-x^{3}+2 \ln \left(2\right)+4 x \right)}+\frac{4 \,{\mathrm e}^{x} \left(9 \ln \left(2\right)^{2}+6 x \ln \left(2\right)-8 x^{2}\right)}{\left(27 \ln \left(2\right)^{2}-64\right) \left(-x^{3}+2 \ln \left(2\right)+4 x \right)}-\frac{18 \ln \left(2\right)^{3} x^{2}}{\left(-\frac{x^{3}}{2}+\ln \left(2\right)+2 x \right) \left(27 \ln \left(2\right)^{2}-64\right)}+\frac{32 \ln \left(2\right)^{2} x}{\left(-\frac{x^{3}}{2}+\ln \left(2\right)+2 x \right) \left(27 \ln \left(2\right)^{2}-64\right)}+\frac{48 \ln \left(2\right)^{3}}{\left(-\frac{x^{3}}{2}+\ln \left(2\right)+2 x \right) \left(27 \ln \left(2\right)^{2}-64\right)}+\frac{9 \ln \left(2\right)^{2} {\mathrm e}^{x} x^{2}}{\left(27 \ln \left(2\right)^{2}-64\right) \left(-x^{3}+2 \ln \left(2\right)+4 x \right)}-\frac{16 \,{\mathrm e}^{x} \ln \left(2\right) x}{\left(27 \ln \left(2\right)^{2}-64\right) \left(-x^{3}+2 \ln \left(2\right)+4 x \right)}+\left(\munderset{\textit{\_R2} =\RootOf \left(\textit{\_Z}^{3}-2 \ln \left(2\right)-4 \textit{\_Z} \right)}{\sum}\frac{\left(9 \textit{\_R2}^{2} \ln \left(2\right)^{2}+18 \ln \left(2\right)^{2} \textit{\_R2} +12 \ln \left(2\right)^{2}+8 \ln \left(2\right) \textit{\_R2} -32 \textit{\_R2}^{2}-16 \ln \left(2\right)-32 \textit{\_R2} \right) {\mathrm e}^{\textit{\_R2}} \expIntegralEi \left(1, -x +\textit{\_R2} \right)}{\left(27 \ln \left(2\right)^{2}-64\right) \left(3 \textit{\_R2}^{2}-4\right)}\right)-4 \left(\munderset{\textit{\_R2} =\RootOf \left(\textit{\_Z}^{3}-2 \ln \left(2\right)-4 \textit{\_Z} \right)}{\sum}\frac{\left(9 \ln \left(2\right)^{2}+6 \ln \left(2\right) \textit{\_R2} -8 \textit{\_R2}^{2}-12 \ln \left(2\right)+8 \textit{\_R2} \right) {\mathrm e}^{\textit{\_R2}} \expIntegralEi \left(1, -x +\textit{\_R2} \right)}{\left(27 \ln \left(2\right)^{2}-64\right) \left(3 \textit{\_R2}^{2}-4\right)}\right)-2 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-2 \ln \left(2\right)-4 \textit{\_Z} \right)}{\sum}\frac{\left(9 \ln \left(2\right)^{2} \textit{\_R1} +6 \textit{\_R1}^{2} \ln \left(2\right)+9 \ln \left(2\right)^{2}-6 \ln \left(2\right) \textit{\_R1} -16 \ln \left(2\right)-32 \textit{\_R1} \right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{\left(27 \ln \left(2\right)^{2}-64\right) \left(3 \textit{\_R1}^{2}-4\right)}\right)-\frac{8 \ln \left(2\right)^{2} \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-2 \ln \left(2\right)-4 \textit{\_Z} \right)}{\sum}\frac{\left(9 \ln \left(2\right) \textit{\_R} -32\right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}-4}\right)}{54 \ln \left(2\right)^{2}-128}+\frac{32 \ln \left(2\right) \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-2 \ln \left(2\right)-4 \textit{\_Z} \right)}{\sum}\frac{\left(-9 \ln \left(2\right)^{2} \textit{\_R} +8 \ln \left(2\right)+16 \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}-4}\right)}{54 \ln \left(2\right)^{2}-128}-\frac{192 \ln \left(2\right) \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-2 \ln \left(2\right)-4 \textit{\_Z} \right)}{\sum}\frac{\left(-3 \ln \left(2\right)+2 \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}-4}\right)}{54 \ln \left(2\right)^{2}-128}-\frac{256 \ln \left(2\right) \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-2 \ln \left(2\right)-4 \textit{\_Z} \right)}{\sum}\frac{\left(3 \ln \left(2\right)-2 \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{3 \textit{\_R}^{2}-4}\right)}{54 \ln \left(2\right)^{2}-128}+\frac{\frac{96 \ln \left(2\right) x^{2}}{27 \ln \left(2\right)^{2}-64}+\frac{32 \left(9 \ln \left(2\right)^{2}-32\right) x}{54 \ln \left(2\right)^{2}-128}-\frac{256 \ln \left(2\right)}{27 \ln \left(2\right)^{2}-64}}{-\frac{x^{3}}{2}+\ln \left(2\right)+2 x}+\frac{9 \,{\mathrm e}^{x} \ln \left(2\right)^{2} x}{\left(27 \ln \left(2\right)^{2}-64\right) \left(-x^{3}+2 \ln \left(2\right)+4 x \right)}-\frac{12 \ln \left(2\right) {\mathrm e}^{x} x^{2}}{\left(27 \ln \left(2\right)^{2}-64\right) \left(-x^{3}+2 \ln \left(2\right)+4 x \right)}$&$1409$\\ \hline \end{longtable}"," ",0,"(16*x+exp(x)*x-x^5+2*x^2*ln(2)+8*ln(2))/(-x^3+2*ln(2)+4*x)","A"
4664,1,8,9,0.028000," ","int((-x-1)*exp(x)*exp(exp(x)*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-{\mathrm e}^{{\mathrm e}^{x} x}$&$8$\\ risch&$-{\mathrm e}^{{\mathrm e}^{x} x}$&$8$\\ \hline \end{longtable}"," ",0,"-exp(exp(x)*x)","A"
4665,1,19,17,0.015000," ","int((-2*x*ln(x)-4*x^2-6*x-4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x -2 x \ln \left(x \right)-2 x^{2}-4 \ln \left(x \right)$&$19$\\ norman&$-4 x -2 x \ln \left(x \right)-2 x^{2}-4 \ln \left(x \right)$&$19$\\ risch&$-4 x -2 x \ln \left(x \right)-2 x^{2}-4 \ln \left(x \right)$&$19$\\ \hline \end{longtable}"," ",0,"-4*x-2*x*ln(x)-2*x^2-4*ln(x)","A"
4666,0,0,27,180.000000," ","int((exp(x)*ln(x)^2*exp((x^2*exp(1/x)-x^3)/exp(x)/ln(x))^2+((-5*x^2+10*x-5)*exp(1/x)+5*x^3-15*x^2)*ln(x)-5*x*exp(1/x)+5*x^2)/exp(x)/ln(x)^2/exp((x^2*exp(1/x)-x^3)/exp(x)/ln(x))^2,x)","\[\int \frac{\left({\mathrm e}^{x} \ln \left(x \right)^{2} {\mathrm e}^{\frac{2 \left(x^{2} {\mathrm e}^{\frac{1}{x}}-x^{3}\right) {\mathrm e}^{-x}}{\ln \left(x \right)}}+\left(\left(-5 x^{2}+10 x -5\right) {\mathrm e}^{\frac{1}{x}}+5 x^{3}-15 x^{2}\right) \ln \left(x \right)-5 x \,{\mathrm e}^{\frac{1}{x}}+5 x^{2}\right) {\mathrm e}^{-x} {\mathrm e}^{-\frac{2 \left(x^{2} {\mathrm e}^{\frac{1}{x}}-x^{3}\right) {\mathrm e}^{-x}}{\ln \left(x \right)}}}{\ln \left(x \right)^{2}}\, dx\]"," ",0,"int((exp(x)*ln(x)^2*exp((x^2*exp(1/x)-x^3)/exp(x)/ln(x))^2+((-5*x^2+10*x-5)*exp(1/x)+5*x^3-15*x^2)*ln(x)-5*x*exp(1/x)+5*x^2)/exp(x)/ln(x)^2/exp((x^2*exp(1/x)-x^3)/exp(x)/ln(x))^2,x)","F"
4667,1,70,18,0.115000," ","int(((-500*exp(1)-1000)*ln(2)*ln(x)^3+(-300*exp(1)^2-8700*exp(1)-16200)*ln(2)*ln(x)^2+(-60*exp(1)^3-3360*exp(1)^2-50220*exp(1)-87480)*ln(2)*ln(x)+(-4*exp(1)^4-332*exp(1)^3-9396*exp(1)^2-96228*exp(1)-157464)*ln(2))/(x*ln(x)^5+25*x*ln(x)^4+250*x*ln(x)^3+1250*x*ln(x)^2+3125*x*ln(x)+3125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 \ln \left(2\right) \left({\mathrm e}+2\right) \left(-\frac{15 \,{\mathrm e}^{2}+60 \,{\mathrm e}+60}{3 \left(5+\ln \left(x \right)\right)^{3}}-\frac{{\mathrm e}^{3}+6 \,{\mathrm e}^{2}+12 \,{\mathrm e}+8}{4 \left(5+\ln \left(x \right)\right)^{4}}-\frac{125}{5+\ln \left(x \right)}-\frac{75 \,{\mathrm e}+150}{2 \left(5+\ln \left(x \right)\right)^{2}}\right)$&$70$\\ risch&$\frac{\ln \left(2\right) \left({\mathrm e}^{4}+20 \ln \left(x \right) {\mathrm e}^{3}+150 \,{\mathrm e}^{2} \ln \left(x \right)^{2}+500 \ln \left(x \right)^{3} {\mathrm e}+108 \,{\mathrm e}^{3}+1620 \,{\mathrm e}^{2} \ln \left(x \right)+8100 \,{\mathrm e} \ln \left(x \right)^{2}+1000 \ln \left(x \right)^{3}+4374 \,{\mathrm e}^{2}+43740 \,{\mathrm e} \ln \left(x \right)+15600 \ln \left(x \right)^{2}+78732 \,{\mathrm e}+81160 \ln \left(x \right)+140816\right)}{\left(5+\ln \left(x \right)\right)^{4}}$&$84$\\ norman&$\frac{\left(500 \,{\mathrm e} \ln \left(2\right)+1000 \ln \left(2\right)\right) \ln \left(x \right)^{3}+\left(150 \,{\mathrm e}^{2} \ln \left(2\right)+8100 \,{\mathrm e} \ln \left(2\right)+15600 \ln \left(2\right)\right) \ln \left(x \right)^{2}+\left(20 \,{\mathrm e}^{3} \ln \left(2\right)+1620 \,{\mathrm e}^{2} \ln \left(2\right)+43740 \,{\mathrm e} \ln \left(2\right)+81160 \ln \left(2\right)\right) \ln \left(x \right)+78732 \,{\mathrm e} \ln \left(2\right)+140816 \ln \left(2\right)+4374 \,{\mathrm e}^{2} \ln \left(2\right)+108 \,{\mathrm e}^{3} \ln \left(2\right)+{\mathrm e}^{4} \ln \left(2\right)}{\left(5+\ln \left(x \right)\right)^{4}}$&$112$\\ \hline \end{longtable}"," ",0,"-4*ln(2)*(exp(1)+2)*(-1/3*(15*exp(2)+60*exp(1)+60)/(5+ln(x))^3-1/4*(exp(3)+6*exp(2)+12*exp(1)+8)/(5+ln(x))^4-125/(5+ln(x))-1/2*(75*exp(1)+150)/(5+ln(x))^2)","B"
4668,1,12,11,0.056000," ","int((-exp(1)-x+1)*exp(3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{3-x} \left(x +{\mathrm e}\right)$&$12$\\ risch&${\mathrm e}^{3-x} \left(x +{\mathrm e}\right)$&$12$\\ norman&$x \,{\mathrm e}^{3-x}+{\mathrm e}^{3-x} {\mathrm e}$&$19$\\ derivativedivides&$-{\mathrm e}^{3-x} \left(3-x \right)+3 \,{\mathrm e}^{3-x}+{\mathrm e}^{3-x} {\mathrm e}$&$32$\\ default&$-{\mathrm e}^{3-x} \left(3-x \right)+3 \,{\mathrm e}^{3-x}+{\mathrm e}^{3-x} {\mathrm e}$&$32$\\ meijerg&$-{\mathrm e}^{4} \left(1-{\mathrm e}^{-x}\right)-{\mathrm e}^{3} \left(1-\frac{\left(2 x +2\right) {\mathrm e}^{-x}}{2}\right)+{\mathrm e}^{3} \left(1-{\mathrm e}^{-x}\right)$&$42$\\ \hline \end{longtable}"," ",0,"exp(3-x)*(x+exp(1))","A"
4669,1,25,17,0.029000," ","int(2*exp(x)^2+(2*x+8)*exp(x)+256*x^3+2*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x}+\left(2 x +6\right) {\mathrm e}^{x}+64 x^{4}+x^{2}+2 x$&$25$\\ default&$2 x +2 \,{\mathrm e}^{x} x +6 \,{\mathrm e}^{x}+x^{2}+64 x^{4}+{\mathrm e}^{2 x}$&$26$\\ norman&$2 x +2 \,{\mathrm e}^{x} x +6 \,{\mathrm e}^{x}+x^{2}+64 x^{4}+{\mathrm e}^{2 x}$&$26$\\ \hline \end{longtable}"," ",0,"exp(2*x)+(2*x+6)*exp(x)+64*x^4+x^2+2*x","A"
4670,1,16,16,0.025000," ","int((24*x+48)*ln(2)-24*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$12 x \left(x \ln \left(2\right)+4 \ln \left(2\right)-x \right)$&$16$\\ norman&$\left(12 \ln \left(2\right)-12\right) x^{2}+48 x \ln \left(2\right)$&$17$\\ default&$\ln \left(2\right) \left(12 x^{2}+48 x \right)-12 x^{2}$&$19$\\ risch&$12 x^{2} \ln \left(2\right)+48 x \ln \left(2\right)-12 x^{2}$&$19$\\ \hline \end{longtable}"," ",0,"12*x*(x*ln(2)+4*ln(2)-x)","A"
4671,1,43,37,0.108000," ","int((((exp(2)-3-x)*exp(2+x)^2+((-x-6)*exp(2)+x^2+9*x+18)*exp(2+x)+(x+7)*exp(2)-x^2-10*x-21)*ln(-exp(2)+3+x)^2+(2*exp(2)-2*x-6)*ln(-exp(2)+3+x)+2*x)/(2*exp(2)-2*x-6)/ln(-exp(2)+3+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{7 x}{2}+\frac{x^{2}}{4}+\frac{{\mathrm e}^{2 x +4}}{4}-\frac{5 \,{\mathrm e}^{2+x}}{2}-\frac{x \,{\mathrm e}^{2+x}}{2}+\frac{x}{\ln \left(-{\mathrm e}^{2}+3+x \right)}$&$43$\\ default&$\frac{7 x}{2}+\frac{x^{2}}{4}+\frac{{\mathrm e}^{2 x +4}}{4}-\frac{{\mathrm e}^{2+x} \left(2+x \right)}{2}-\frac{3 \,{\mathrm e}^{2+x}}{2}+\frac{-{\mathrm e}^{2}+3+x}{\ln \left(-{\mathrm e}^{2}+3+x \right)}+\frac{{\mathrm e}^{2}}{\ln \left(-{\mathrm e}^{2}+3+x \right)}-\frac{3}{\ln \left(-{\mathrm e}^{2}+3+x \right)}$&$76$\\ \hline \end{longtable}"," ",0,"7/2*x+1/4*x^2+1/4*exp(2*x+4)-5/2*exp(2+x)-1/2*x*exp(2+x)+x/ln(-exp(2)+3+x)","A"
4672,1,3,4,0.011000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
4673,1,814,32,0.359000," ","int((((-2*x^2+11*x-5)*exp(exp(x)-x)^2+10*x^2-55*x+25)*ln(-x/((x-5)*exp(exp(x)-x)^2-5*x+25))+((2*x^3-12*x^2+10*x)*exp(x)-2*x^3+12*x^2-5*x-5)*exp(exp(x)-x)^2-25*x+25)/((x-5)*exp(exp(x)-x)^2-5*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} \ln \left(x \right)+\left(x^{2}-x \right) \ln \left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right)+x \ln \left(x \right)+x^{2} \ln \left(x -5\right)-x \ln \left(x -5\right)+\frac{i \pi  x \mathrm{csgn}\left(\frac{i x}{\left(x -5\right) \left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right)}\right)^{3}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right) \left(x -5\right)}\right)^{3}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{\left(x -5\right) \left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right)}\right)^{3}}{2}+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{\left(x -5\right) \left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right)}\right)^{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right) \left(x -5\right)}\right)^{3}}{2}-i \pi  x \mathrm{csgn}\left(\frac{i x}{\left(x -5\right) \left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right)}\right)^{2}-i \pi  \,x^{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right) \left(x -5\right)}\right) \mathrm{csgn}\left(\frac{i x}{\left(x -5\right) \left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right)}\right)}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5}\right) \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right) \left(x -5\right)}\right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5}\right) \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right) \left(x -5\right)}\right)}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right) \left(x -5\right)}\right) \mathrm{csgn}\left(\frac{i x}{\left(x -5\right) \left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right)}\right)}{2}+i x \pi -\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right) \left(x -5\right)}\right) \mathrm{csgn}\left(\frac{i x}{\left(x -5\right) \left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right)}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right) \left(x -5\right)}\right)^{2}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5}\right) \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right) \left(x -5\right)}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5}\right) \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right) \left(x -5\right)}\right)^{2}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right) \left(x -5\right)}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right) \left(x -5\right)}\right) \mathrm{csgn}\left(\frac{i x}{\left(x -5\right) \left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right)}\right)^{2}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\left(x -5\right) \left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right)}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\left(x -5\right) \left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x}-5\right)}\right)^{2}}{2}$&$814$\\ \hline \end{longtable}"," ",0,"-x^2*ln(x)+(x^2-x)*ln(exp(2*exp(x)-2*x)-5)+1/2*I*Pi*x*csgn(I/(exp(2*exp(x)-2*x)-5)/(x-5))*csgn(I*x/(x-5)/(exp(2*exp(x)-2*x)-5))^2+x*ln(x)+x^2*ln(x-5)-x*ln(x-5)+1/2*I*Pi*x*csgn(I*x/(x-5)/(exp(2*exp(x)-2*x)-5))^3-1/2*I*Pi*x*csgn(I/(exp(2*exp(x)-2*x)-5)/(x-5))^3-1/2*I*Pi*x^2*csgn(I*x/(x-5)/(exp(2*exp(x)-2*x)-5))^3+I*Pi*x^2*csgn(I*x/(x-5)/(exp(2*exp(x)-2*x)-5))^2+1/2*I*Pi*x^2*csgn(I/(exp(2*exp(x)-2*x)-5)/(x-5))^3-I*Pi*x*csgn(I*x/(x-5)/(exp(2*exp(x)-2*x)-5))^2-I*Pi*x^2-1/2*I*Pi*x^2*csgn(I*x)*csgn(I*x/(x-5)/(exp(2*exp(x)-2*x)-5))^2+1/2*I*Pi*x*csgn(I*x)*csgn(I*x/(x-5)/(exp(2*exp(x)-2*x)-5))^2-1/2*I*Pi*x^2*csgn(I/(exp(2*exp(x)-2*x)-5)/(x-5))*csgn(I*x/(x-5)/(exp(2*exp(x)-2*x)-5))^2-1/2*I*Pi*x*csgn(I*x)*csgn(I/(exp(2*exp(x)-2*x)-5)/(x-5))*csgn(I*x/(x-5)/(exp(2*exp(x)-2*x)-5))+1/2*I*Pi*x^2*csgn(I/(x-5))*csgn(I/(exp(2*exp(x)-2*x)-5))*csgn(I/(exp(2*exp(x)-2*x)-5)/(x-5))-1/2*I*Pi*x*csgn(I/(x-5))*csgn(I/(exp(2*exp(x)-2*x)-5))*csgn(I/(exp(2*exp(x)-2*x)-5)/(x-5))+1/2*I*Pi*x^2*csgn(I*x)*csgn(I/(exp(2*exp(x)-2*x)-5)/(x-5))*csgn(I*x/(x-5)/(exp(2*exp(x)-2*x)-5))+I*Pi*x+1/2*I*Pi*x*csgn(I/(x-5))*csgn(I/(exp(2*exp(x)-2*x)-5)/(x-5))^2-1/2*I*Pi*x^2*csgn(I/(exp(2*exp(x)-2*x)-5))*csgn(I/(exp(2*exp(x)-2*x)-5)/(x-5))^2+1/2*I*Pi*x*csgn(I/(exp(2*exp(x)-2*x)-5))*csgn(I/(exp(2*exp(x)-2*x)-5)/(x-5))^2-1/2*I*Pi*x^2*csgn(I/(x-5))*csgn(I/(exp(2*exp(x)-2*x)-5)/(x-5))^2","C"
4674,1,30,27,0.048000," ","int(((48*x-8192)*exp(1/x)^2+(512*x-512)*exp(1/x)+32*x)/x^3/exp(1/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{-48 x +4096}{x^{2}}-\frac{512 \,{\mathrm e}^{-\frac{1}{x}}}{x}+16 \,{\mathrm e}^{-\frac{2}{x}}$&$30$\\ derivativedivides&$\frac{4096}{x^{2}}-\frac{48}{x}+16 \,{\mathrm e}^{-\frac{2}{x}}-\frac{512 \,{\mathrm e}^{-\frac{1}{x}}}{x}$&$31$\\ default&$\frac{4096}{x^{2}}-\frac{48}{x}+16 \,{\mathrm e}^{-\frac{2}{x}}-\frac{512 \,{\mathrm e}^{-\frac{1}{x}}}{x}$&$31$\\ norman&$\frac{\left(16 x^{2}+4096 \,{\mathrm e}^{\frac{2}{x}}-512 x \,{\mathrm e}^{\frac{1}{x}}-48 x \,{\mathrm e}^{\frac{2}{x}}\right) {\mathrm e}^{-\frac{2}{x}}}{x^{2}}$&$41$\\ \hline \end{longtable}"," ",0,"(-48*x+4096)/x^2-512/x*exp(-1/x)+16*exp(-2/x)","A"
4675,1,19,18,0.028000," ","int(-32*ln(5)^2-640*ln(5)+32*x-3272,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-8 x \left(4 \ln \left(5\right)^{2}+80 \ln \left(5\right)-2 x +409\right)$&$19$\\ norman&$\left(-32 \ln \left(5\right)^{2}-640 \ln \left(5\right)-3272\right) x +16 x^{2}$&$21$\\ default&$-32 x \ln \left(5\right)^{2}-640 x \ln \left(5\right)+16 x^{2}-3272 x$&$22$\\ risch&$-32 x \ln \left(5\right)^{2}-640 x \ln \left(5\right)+16 x^{2}-3272 x$&$22$\\ \hline \end{longtable}"," ",0,"-8*x*(4*ln(5)^2+80*ln(5)-2*x+409)","A"
4676,1,15,15,0.026000," ","int(1/3*(x+1)*exp(x)-2*x-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}-2 x +\frac{{\mathrm e}^{x} x}{3}$&$15$\\ norman&$-x^{2}-2 x +\frac{{\mathrm e}^{x} x}{3}$&$15$\\ risch&$-x^{2}-2 x +\frac{{\mathrm e}^{x} x}{3}$&$15$\\ \hline \end{longtable}"," ",0,"-x^2-2*x+1/3*exp(x)*x","A"
4677,1,21,32,0.310000," ","int((192*ln(1/4*x)+64*x-192)/((x^2-6*x+9)*exp(2)^2+(-10*x^2+60*x-90)*exp(2)+25*x^2-150*x+225)/ln(1/4*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{64 x}{\left({\mathrm e}^{2}-5\right)^{2} \left(x -3\right) \ln \left(\frac{x}{4}\right)}$&$21$\\ risch&$-\frac{64 x}{\left(x \,{\mathrm e}^{4}-3 \,{\mathrm e}^{4}-10 \,{\mathrm e}^{2} x +30 \,{\mathrm e}^{2}+25 x -75\right) \ln \left(\frac{x}{4}\right)}$&$34$\\ \hline \end{longtable}"," ",0,"-64/(exp(2)-5)^2*x/(x-3)/ln(1/4*x)","A"
4678,1,14,15,0.046000," ","int((-8*exp(-1/x^2)^2+2*x^3)*exp(-exp(-1/x^2)^2+x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{-{\mathrm e}^{-\frac{2}{x^{2}}}+x}$&$14$\\ norman&$2 \,{\mathrm e}^{-{\mathrm e}^{-\frac{2}{x^{2}}}+x}$&$16$\\ \hline \end{longtable}"," ",0,"2*exp(-exp(-2/x^2)+x)","A"
4679,1,45,32,0.188000," ","int((((100*x*ln(2)-10*x^3)*ln(1/2*(10*ln(2)-x^2)/ln(2))^2+20*x^3*ln(1/2*(10*ln(2)-x^2)/ln(2))-300*x*ln(2)+30*x^3)*ln(x)+(2*(-25*x-30)*ln(2)+5*x^3+6*x^2)*ln(1/2*(10*ln(2)-x^2)/ln(2))^2-8*x^2*ln(1/2*(10*ln(2)-x^2)/ln(2))+2*(75*x+90)*ln(2)-15*x^3-18*x^2)/(50*x^4*ln(2)-5*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(5 x \ln \left(x \right)-2\right) \ln \left(\frac{10 \ln \left(2\right)-x^{2}}{2 \ln \left(2\right)}\right)^{2}}{5 x^{3}}+\frac{3 x \ln \left(x \right)-\frac{6}{5}}{x^{3}}$&$45$\\ default&\verb|error in gcdex: invalid arguments\|& N/A\\ \hline \end{longtable}"," ",0,"-1/5*(5*x*ln(x)-2)/x^3*ln(1/2*(10*ln(2)-x^2)/ln(2))^2+3/5*(5*x*ln(x)-2)/x^3","A"
4680,1,19,16,0.033000," ","int((2*x+15)*exp(5)+3*x^2+20*x-69,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \left(x \,{\mathrm e}^{5}+x^{2}+15 \,{\mathrm e}^{5}+10 x -69\right)$&$19$\\ norman&$x^{3}+\left({\mathrm e}^{5}+10\right) x^{2}+\left(15 \,{\mathrm e}^{5}-69\right) x$&$21$\\ default&${\mathrm e}^{5} \left(x^{2}+15 x \right)+x^{3}+10 x^{2}-69 x$&$23$\\ risch&$x^{2} {\mathrm e}^{5}+15 x \,{\mathrm e}^{5}+x^{3}+10 x^{2}-69 x$&$24$\\ \hline \end{longtable}"," ",0,"x*(x*exp(5)+x^2+15*exp(5)+10*x-69)","A"
4681,1,20,23,0.080000," ","int((2*(-30*x+125)*ln(2)+60*x-250)*exp(6*ln(x)+ln(x-5))/(x^3-5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{10 \left(\ln \left(2\right)-1\right) {\mathrm e}^{6 \ln \left(x \right)+\ln \left(x -5\right)}}{x}$&$20$\\ default&$2 \left(5 \ln \left(2\right)-5\right) \left(-x^{6}+5 x^{5}\right)$&$20$\\ norman&$\frac{\left(-50+50 \ln \left(2\right)\right) x^{6}+\left(-10 \ln \left(2\right)+10\right) x^{7}}{x}$&$26$\\ risch&$-10 x^{6} \ln \left(2\right)+10 x^{6}+50 x^{5} \ln \left(2\right)-50 x^{5}$&$26$\\ \hline \end{longtable}"," ",0,"-10/x*(ln(2)-1)*exp(6*ln(x)+ln(x-5))","A"
4682,1,32,28,0.057000," ","int((-2*x^6+16*x^5-40*x^4+172*x^2-288*x+144)*exp(2)/(4*x^8-52*x^7+313*x^6-1144*x^5+2792*x^4-4680*x^3+5296*x^2-3744*x+1296),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(x -2\right)^{2} {\mathrm e}^{2}}{2 x^{4}-13 x^{3}+36 x^{2}-52 x +36}$&$32$\\ default&$-\frac{2 \,{\mathrm e}^{2} \left(-\frac{1}{4} x^{3}+x^{2}-x \right)}{x^{4}-\frac{13}{2} x^{3}+18 x^{2}-26 x +18}$&$37$\\ risch&$\frac{{\mathrm e}^{2} \left(\frac{1}{2} x^{3}-2 x^{2}+2 x \right)}{x^{4}-\frac{13}{2} x^{3}+18 x^{2}-26 x +18}$&$38$\\ norman&$\frac{4 \,{\mathrm e}^{2} x -4 x^{2} {\mathrm e}^{2}+x^{3} {\mathrm e}^{2}}{2 x^{4}-13 x^{3}+36 x^{2}-52 x +36}$&$43$\\ \hline \end{longtable}"," ",0,"x*(x-2)^2*exp(2)/(2*x^4-13*x^3+36*x^2-52*x+36)","A"
4683,1,191,30,0.246000," ","int((((4*x^3-4*x^2-8*x)*exp(x)-6*x^2)*ln(1/3*((2*x^2-2*x-4)*exp(x)-3*x)/exp(x)^2)*ln(ln(1/3*((2*x^2-2*x-4)*exp(x)-3*x)/exp(x)^2))+(-2*x^4+6*x^3+2*x^2)*exp(x)+6*x^3-3*x^2)/((2*x^2-2*x-4)*exp(x)-3*x)/ln(1/3*((2*x^2-2*x-4)*exp(x)-3*x)/exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(\ln \left(2\right)-\ln \left(3\right)-2 \ln \left({\mathrm e}^{x}\right)+\ln \left({\mathrm e}^{x} x^{2}+\left(-{\mathrm e}^{x}-\frac{3}{2}\right) x -2 \,{\mathrm e}^{x}\right)+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left({\mathrm e}^{x} x^{2}+\left(-{\mathrm e}^{x}-\frac{3}{2}\right) x -2 \,{\mathrm e}^{x}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left({\mathrm e}^{x} x^{2}+\left(-{\mathrm e}^{x}-\frac{3}{2}\right) x -2 \,{\mathrm e}^{x}\right)\right)+\mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left({\mathrm e}^{x} x^{2}+\left(-{\mathrm e}^{x}-\frac{3}{2}\right) x -2 \,{\mathrm e}^{x}\right)\right)+\mathrm{csgn}\left(i \left({\mathrm e}^{x} x^{2}+\left(-{\mathrm e}^{x}-\frac{3}{2}\right) x -2 \,{\mathrm e}^{x}\right)\right)\right)}{2}\right)$&$191$\\ \hline \end{longtable}"," ",0,"x^2*ln(ln(2)-ln(3)-2*ln(exp(x))+ln(exp(x)*x^2+(-exp(x)-3/2)*x-2*exp(x))+1/2*I*Pi*csgn(I*exp(2*x))*(-csgn(I*exp(2*x))+csgn(I*exp(x)))^2-1/2*I*Pi*csgn(I*exp(-2*x)*(exp(x)*x^2+(-exp(x)-3/2)*x-2*exp(x)))*(-csgn(I*exp(-2*x)*(exp(x)*x^2+(-exp(x)-3/2)*x-2*exp(x)))+csgn(I*exp(-2*x)))*(-csgn(I*exp(-2*x)*(exp(x)*x^2+(-exp(x)-3/2)*x-2*exp(x)))+csgn(I*(exp(x)*x^2+(-exp(x)-3/2)*x-2*exp(x)))))","C"
4684,1,181,30,0.900000," ","int((((2*x^2+10*x)*ln(2)^2-2*x^3-10*x^2)*ln(3/(5+x))*ln(ln(3/(5+x))^2)+((-2*x^2-10*x)*ln(2)^2+2*x^3+10*x^2)*ln(3/(5+x))*ln(ln(2)^2-x)+((x^3+5*x^2)*ln(2)^2-x^4-6*x^3-5*x^2)*ln(3/(5+x))+2*x^2*ln(2)^2-2*x^3)/(((5+x)*ln(2)^2-x^2-5*x)*ln(3/(5+x))*ln(ln(3/(5+x))^2)^2+(((-2*x-10)*ln(2)^2+2*x^2+10*x)*ln(3/(5+x))*ln(ln(2)^2-x)+((2*x^2+10*x)*ln(2)^2-2*x^3-10*x^2)*ln(3/(5+x)))*ln(ln(3/(5+x))^2)+((5+x)*ln(2)^2-x^2-5*x)*ln(3/(5+x))*ln(ln(2)^2-x)^2+((-2*x^2-10*x)*ln(2)^2+2*x^3+10*x^2)*ln(3/(5+x))*ln(ln(2)^2-x)+((x^3+5*x^2)*ln(2)^2-x^4-5*x^3)*ln(3/(5+x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{2}}{-2 i \pi  \mathrm{csgn}\left(i \left(-2 i \ln \left(5+x \right)+2 i \ln \left(3\right)\right)^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i \left(-2 i \ln \left(5+x \right)+2 i \ln \left(3\right)\right)\right)^{2} \mathrm{csgn}\left(i \left(-2 i \ln \left(5+x \right)+2 i \ln \left(3\right)\right)^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i \left(-2 i \ln \left(5+x \right)+2 i \ln \left(3\right)\right)\right) \mathrm{csgn}\left(i \left(-2 i \ln \left(5+x \right)+2 i \ln \left(3\right)\right)^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i \left(-2 i \ln \left(5+x \right)+2 i \ln \left(3\right)\right)^{2}\right)^{3}+2 i \pi -4 \ln \left(2\right)+2 x -2 \ln \left(\ln \left(2\right)^{2}-x \right)+4 \ln \left(-2 i \ln \left(5+x \right)+2 i \ln \left(3\right)\right)}$&$181$\\ \hline \end{longtable}"," ",0,"2*x^2/(-2*I*Pi*csgn(I*(-2*I*ln(5+x)+2*I*ln(3))^2)^2-I*Pi*csgn(I*(-2*I*ln(5+x)+2*I*ln(3)))^2*csgn(I*(-2*I*ln(5+x)+2*I*ln(3))^2)+2*I*Pi*csgn(I*(-2*I*ln(5+x)+2*I*ln(3)))*csgn(I*(-2*I*ln(5+x)+2*I*ln(3))^2)^2+I*Pi*csgn(I*(-2*I*ln(5+x)+2*I*ln(3))^2)^3+2*I*Pi-4*ln(2)+2*x-2*ln(ln(2)^2-x)+4*ln(-2*I*ln(5+x)+2*I*ln(3)))","C"
4685,1,38,26,0.242000," ","int(((x^2-x)*ln(1/x^2)+(-x^2+3*x-2)*exp(5)+(x^2-x)*exp(2)+2*x^3-2*x^2-5*x+4)/(x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+x \ln \left(\frac{1}{x^{2}}\right)+\left(2-{\mathrm e}^{5}\right) \ln \left(\frac{1}{x^{2}}\right)+\left(2-{\mathrm e}^{5}+{\mathrm e}^{2}\right) x -\ln \left(x -1\right)$&$38$\\ risch&$x \ln \left(\frac{1}{x^{2}}\right)+2 \ln \left(-x \right) {\mathrm e}^{5}-x \,{\mathrm e}^{5}+{\mathrm e}^{2} x +x^{2}-4 \ln \left(-x \right)-\ln \left(x -1\right)+2 x$&$43$\\ derivativedivides&$x \ln \left(\frac{1}{x^{2}}\right)+2 x -\ln \left(\frac{1}{x}-1\right)-x \,{\mathrm e}^{5}+{\mathrm e}^{2} x -2 \ln \left(\frac{1}{x}\right) {\mathrm e}^{5}+5 \ln \left(\frac{1}{x}\right)+x^{2}$&$45$\\ default&$x \ln \left(\frac{1}{x^{2}}\right)+2 x -\ln \left(\frac{1}{x}-1\right)-x \,{\mathrm e}^{5}+{\mathrm e}^{2} x -2 \ln \left(\frac{1}{x}\right) {\mathrm e}^{5}+5 \ln \left(\frac{1}{x}\right)+x^{2}$&$45$\\ \hline \end{longtable}"," ",0,"x^2+x*ln(1/x^2)+(2-exp(5))*ln(1/x^2)+(2-exp(5)+exp(2))*x-ln(x-1)","A"
4686,1,154,29,0.079000," ","int(((50*x^2-350*x)*ln(x^2-14*x+49)^3+(150*x^3-850*x^2-1400*x)*ln(x^2-14*x+49)^2+(100*x^4-500*x^3-2100*x^2-1400*x)*ln(x^2-14*x+49)-100*x^4-400*x^3-400*x^2)*exp((25*x^2*ln(x^2-14*x+49)^2+(50*x^3+100*x^2)*ln(x^2-14*x+49)+25*x^4+100*x^3+100*x^2)/ln(x^2-14*x+49)^2)/((x-7)*ln(x^2-14*x+49)^3*exp((25*x^2*ln(x^2-14*x+49)^2+(50*x^3+100*x^2)*ln(x^2-14*x+49)+25*x^4+100*x^3+100*x^2)/ln(x^2-14*x+49)^2)+(21-3*x)*ln(x^2-14*x+49)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x^{2}+\frac{25 x^{2} \left(x^{2}+2 \ln \left(x^{2}-14 x +49\right) x +4 x +4 \ln \left(x^{2}-14 x +49\right)+4\right)}{\ln \left(x^{2}-14 x +49\right)^{2}}-\frac{25 x^{2} \ln \left(x^{2}-14 x +49\right)^{2}+\left(50 x^{3}+100 x^{2}\right) \ln \left(x^{2}-14 x +49\right)+25 x^{4}+100 x^{3}+100 x^{2}}{\ln \left(x^{2}-14 x +49\right)^{2}}+\ln \left({\mathrm e}^{\frac{25 x^{2} \left(\ln \left(x^{2}-14 x +49\right)+x +2\right)^{2}}{\ln \left(x^{2}-14 x +49\right)^{2}}}-3\right)$&$154$\\ \hline \end{longtable}"," ",0,"25*x^2+25*x^2*(x^2+2*ln(x^2-14*x+49)*x+4*x+4*ln(x^2-14*x+49)+4)/ln(x^2-14*x+49)^2-(25*x^2*ln(x^2-14*x+49)^2+(50*x^3+100*x^2)*ln(x^2-14*x+49)+25*x^4+100*x^3+100*x^2)/ln(x^2-14*x+49)^2+ln(exp(25*x^2*(ln(x^2-14*x+49)+x+2)^2/ln(x^2-14*x+49)^2)-3)","B"
4687,1,16,20,0.038000," ","int(1/16*((16*x^2+5*x)*ln(x)*ln(ln(x))-1)/x/ln(x)/ln(ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{2}+\frac{5 x}{16}-\frac{\ln \left(\ln \left(\ln \left(x \right)\right)\right)}{16}$&$16$\\ norman&$\frac{x^{2}}{2}+\frac{5 x}{16}-\frac{\ln \left(\ln \left(\ln \left(x \right)\right)\right)}{16}$&$16$\\ risch&$\frac{x^{2}}{2}+\frac{5 x}{16}-\frac{\ln \left(\ln \left(\ln \left(x \right)\right)\right)}{16}$&$16$\\ \hline \end{longtable}"," ",0,"1/2*x^2+5/16*x-1/16*ln(ln(ln(x)))","A"
4688,1,163,20,0.612000," ","int(((24*x+8)*exp(x)-8)*ln((-4*exp(x)+x)/(12*x+16))*exp(ln((-4*exp(x)+x)/(12*x+16))^2)*exp(exp(ln((-4*exp(x)+x)/(12*x+16))^2))/((12*x+16)*exp(x)-3*x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{\left(-i \pi  \mathrm{csgn}\left(\frac{i \left(4 \,{\mathrm e}^{x}-x \right)}{x +\frac{4}{3}}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left(4 \,{\mathrm e}^{x}-x \right)}{x +\frac{4}{3}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x +\frac{4}{3}}\right)+i \pi  \mathrm{csgn}\left(\frac{i \left(4 \,{\mathrm e}^{x}-x \right)}{x +\frac{4}{3}}\right)^{2} \mathrm{csgn}\left(i \left(4 \,{\mathrm e}^{x}-x \right)\right)+i \pi  \,\mathrm{csgn}\left(\frac{i \left(4 \,{\mathrm e}^{x}-x \right)}{x +\frac{4}{3}}\right) \mathrm{csgn}\left(\frac{i}{x +\frac{4}{3}}\right) \mathrm{csgn}\left(i \left(4 \,{\mathrm e}^{x}-x \right)\right)+2 \ln \left(x +\frac{4}{3}\right)-2 \ln \left(-4 \,{\mathrm e}^{x}+x \right)+4 \ln \left(2\right)+2 \ln \left(3\right)\right)^{2}}{4}}}$&$163$\\ \hline \end{longtable}"," ",0,"exp(exp(1/4*(-I*Pi*csgn(I/(x+4/3)*(4*exp(x)-x))^3-I*Pi*csgn(I/(x+4/3)*(4*exp(x)-x))^2*csgn(I/(x+4/3))+I*Pi*csgn(I/(x+4/3)*(4*exp(x)-x))^2*csgn(I*(4*exp(x)-x))+I*Pi*csgn(I/(x+4/3)*(4*exp(x)-x))*csgn(I/(x+4/3))*csgn(I*(4*exp(x)-x))+2*ln(x+4/3)-2*ln(-4*exp(x)+x)+4*ln(2)+2*ln(3))^2))","C"
4689,1,9,10,0.039000," ","int((-2*x*exp(x)^2*ln(x)-exp(x)^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-{\mathrm e}^{2 x} \ln \left(x \right)$&$9$\\ risch&$-{\mathrm e}^{2 x} \ln \left(x \right)$&$9$\\ \hline \end{longtable}"," ",0,"-exp(x)^2*ln(x)","A"
4690,1,48,25,0.068000," ","int((((exp(x)*x^2+x)*ln(x)+exp(x)*x^3+2*x^2+x)*exp(exp(x))-2*x^2*ln(x)+2*(-x-1)*ln(2)+(-x-1)*exp(3)-3*x^3-x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} \ln \left(x \right)-x^{3}-\ln \left(x \right) {\mathrm e}^{3}-2 \ln \left(2\right) \ln \left(x \right)-x \,{\mathrm e}^{3}-2 x \ln \left(2\right)+\left(x \ln \left(x \right)+x^{2}\right) {\mathrm e}^{{\mathrm e}^{x}}$&$48$\\ \hline \end{longtable}"," ",0,"-x^2*ln(x)-x^3-ln(x)*exp(3)-2*ln(2)*ln(x)-x*exp(3)-2*x*ln(2)+(x*ln(x)+x^2)*exp(exp(x))","A"
4691,1,81,16,0.047000," ","int(5*ln(3)^4+1/125*(5000*x+500)*ln(3)^3+1/125*(11250*x^2-12000*x-14850)*ln(3)^2+1/125*(10000*x^3-25500*x^2-5400*x+34020)*ln(3)+25*x^4-104*x^3+378/5*x^2+4138/25*x-21349/125,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(20 \ln \left(3\right)-26\right) x^{4}+\left(30 \ln \left(3\right)^{2}-68 \ln \left(3\right)+\frac{126}{5}\right) x^{3}+\left(20 \ln \left(3\right)^{3}-48 \ln \left(3\right)^{2}-\frac{108 \ln \left(3\right)}{5}+\frac{2069}{25}\right) x^{2}+\left(5 \ln \left(3\right)^{4}+4 \ln \left(3\right)^{3}-\frac{594 \ln \left(3\right)^{2}}{5}+\frac{6804 \ln \left(3\right)}{25}-\frac{21349}{125}\right) x +5 x^{5}$&$81$\\ gosper&$\frac{x \left(625 \ln \left(3\right)^{4}+2500 x \ln \left(3\right)^{3}+3750 x^{2} \ln \left(3\right)^{2}+2500 x^{3} \ln \left(3\right)+625 x^{4}+500 \ln \left(3\right)^{3}-6000 x \ln \left(3\right)^{2}-8500 x^{2} \ln \left(3\right)-3250 x^{3}-14850 \ln \left(3\right)^{2}-2700 x \ln \left(3\right)+3150 x^{2}+34020 \ln \left(3\right)+10345 x -21349\right)}{125}$&$88$\\ default&$5 x \ln \left(3\right)^{4}+\frac{\ln \left(3\right)^{3} \left(2500 x^{2}+500 x \right)}{125}+\frac{\ln \left(3\right)^{2} \left(3750 x^{3}-6000 x^{2}-14850 x \right)}{125}+\frac{\ln \left(3\right) \left(2500 x^{4}-8500 x^{3}-2700 x^{2}+34020 x \right)}{125}+5 x^{5}-26 x^{4}+\frac{126 x^{3}}{5}+\frac{2069 x^{2}}{25}-\frac{21349 x}{125}$&$90$\\ risch&$5 x \ln \left(3\right)^{4}+20 \ln \left(3\right)^{3} x^{2}+4 x \ln \left(3\right)^{3}+30 x^{3} \ln \left(3\right)^{2}-48 x^{2} \ln \left(3\right)^{2}-\frac{594 x \ln \left(3\right)^{2}}{5}+20 x^{4} \ln \left(3\right)-68 x^{3} \ln \left(3\right)-\frac{108 x^{2} \ln \left(3\right)}{5}+\frac{6804 x \ln \left(3\right)}{25}+5 x^{5}-26 x^{4}+\frac{126 x^{3}}{5}+\frac{2069 x^{2}}{25}-\frac{21349 x}{125}$&$99$\\ \hline \end{longtable}"," ",0,"(20*ln(3)-26)*x^4+(30*ln(3)^2-68*ln(3)+126/5)*x^3+(20*ln(3)^3-48*ln(3)^2-108/5*ln(3)+2069/25)*x^2+(5*ln(3)^4+4*ln(3)^3-594/5*ln(3)^2+6804/25*ln(3)-21349/125)*x+5*x^5","B"
4692,1,31,21,0.036000," ","int(1/3*(16*x^3+12*x^2)*exp(5)*ln(5)-6*x^2+24*x+14,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{4 \,{\mathrm e}^{5} \ln \left(5\right)}{3}-2\right) x^{3}+14 x +12 x^{2}+\frac{4 x^{4} {\mathrm e}^{5} \ln \left(5\right)}{3}$&$31$\\ gosper&$\frac{2 x \left(2 \,{\mathrm e}^{5} \ln \left(5\right) x^{3}+2 x^{2} {\mathrm e}^{5} \ln \left(5\right)-3 x^{2}+18 x +21\right)}{3}$&$32$\\ default&$\frac{{\mathrm e}^{5} \ln \left(5\right) \left(4 x^{4}+4 x^{3}\right)}{3}-2 x^{3}+12 x^{2}+14 x$&$32$\\ risch&$\frac{4 x^{4} {\mathrm e}^{5} \ln \left(5\right)}{3}+\frac{4 \,{\mathrm e}^{5} \ln \left(5\right) x^{3}}{3}-2 x^{3}+12 x^{2}+14 x$&$33$\\ \hline \end{longtable}"," ",0,"(4/3*exp(5)*ln(5)-2)*x^3+14*x+12*x^2+4/3*x^4*exp(5)*ln(5)","A"
4693,1,168,25,0.110000," ","int((-2*x^6+16*x^4-62*x^3-2*x^2+68*x-98)/(x^7+2*x^5-14*x^4+x^3-14*x^2+49*x)/ln(x/exp((15-5*x)/(x^3+x-7)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 i}{\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{5 x -15}{x^{3}+x -7}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{5 x -15}{x^{3}+x -7}}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{5 x -15}{x^{3}+x -7}}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{5 x -15}{x^{3}+x -7}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{5 x -15}{x^{3}+x -7}}\right)^{2}+\pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{5 x -15}{x^{3}+x -7}}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left({\mathrm e}^{-\frac{5 \left(x -3\right)}{x^{3}+x -7}}\right)}$&$168$\\ \hline \end{longtable}"," ",0,"4*I/(Pi*csgn(I*x)*csgn(I*exp(5*(x-3)/(x^3+x-7)))*csgn(I*x*exp(5*(x-3)/(x^3+x-7)))-Pi*csgn(I*x)*csgn(I*x*exp(5*(x-3)/(x^3+x-7)))^2-Pi*csgn(I*exp(5*(x-3)/(x^3+x-7)))*csgn(I*x*exp(5*(x-3)/(x^3+x-7)))^2+Pi*csgn(I*x*exp(5*(x-3)/(x^3+x-7)))^3+2*I*ln(x)-2*I*ln(exp(-5*(x-3)/(x^3+x-7))))","C"
4694,1,4833,21,1.572000," ","int(1/2*(-ln(x)*ln(ln(x)/x)^4+((-4*ln(1/5/x)-4)*ln(x)+2)*ln(ln(x)/x)^3+((-6*ln(1/5/x)^2-12*ln(1/5/x))*ln(x)+6*ln(1/5/x))*ln(ln(x)/x)^2+((-4*ln(1/5/x)^3-12*ln(1/5/x)^2)*ln(x)+6*ln(1/5/x)^2)*ln(ln(x)/x)+(-ln(1/5/x)^4-4*ln(1/5/x)^3)*ln(x)+2*ln(1/5/x)^3)/x^3/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$4833$\\ \hline \end{longtable}"," ",0,"1/4/x^2*ln(ln(x))^4-1/2*(I*Pi*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))-I*Pi*csgn(I/x)*csgn(I/x*ln(x))^2-I*Pi*csgn(I*ln(x))*csgn(I/x*ln(x))^2+I*Pi*csgn(I/x*ln(x))^3+2*ln(5)+4*ln(x))/x^2*ln(ln(x))^3+3/8*(4*ln(5)^2+16*ln(x)^2-8*I*ln(x)*Pi*csgn(I*ln(x))*csgn(I/x*ln(x))^2-4*I*Pi*ln(5)*csgn(I/x)*csgn(I/x*ln(x))^2-4*Pi^2*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))^4-Pi^2*csgn(I/x)^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^2+2*Pi^2*csgn(I/x)^2*csgn(I*ln(x))*csgn(I/x*ln(x))^3+2*Pi^2*csgn(I/x)*csgn(I*ln(x))^2*csgn(I/x*ln(x))^3-Pi^2*csgn(I/x)^2*csgn(I/x*ln(x))^4+2*Pi^2*csgn(I/x)*csgn(I/x*ln(x))^5-Pi^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^4+2*Pi^2*csgn(I*ln(x))*csgn(I/x*ln(x))^5+16*ln(5)*ln(x)-Pi^2*csgn(I/x*ln(x))^6+8*I*ln(x)*Pi*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))-8*I*ln(x)*Pi*csgn(I/x)*csgn(I/x*ln(x))^2+8*I*ln(x)*Pi*csgn(I/x*ln(x))^3-4*I*Pi*ln(5)*csgn(I*ln(x))*csgn(I/x*ln(x))^2+4*I*Pi*ln(5)*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))+4*I*Pi*ln(5)*csgn(I/x*ln(x))^3)/x^2*ln(ln(x))^2-1/8*(8*ln(5)^3+64*ln(x)^3+48*I*ln(x)^2*Pi*csgn(I/x*ln(x))^3+12*I*Pi*ln(5)^2*csgn(I/x*ln(x))^3+I*Pi^3*csgn(I/x)^3*csgn(I/x*ln(x))^6+I*Pi^3*csgn(I*ln(x))^3*csgn(I/x*ln(x))^6-12*Pi^2*csgn(I/x)^2*csgn(I/x*ln(x))^4*ln(x)+24*Pi^2*csgn(I/x)*csgn(I/x*ln(x))^5*ln(x)-12*Pi^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^4*ln(x)+24*Pi^2*csgn(I*ln(x))*csgn(I/x*ln(x))^5*ln(x)-I*Pi^3*csgn(I/x*ln(x))^9-12*Pi^2*csgn(I/x*ln(x))^6*ln(x)-6*Pi^2*ln(5)*csgn(I/x*ln(x))^6+48*ln(x)*ln(5)^2-12*I*Pi*ln(5)^2*csgn(I/x)*csgn(I/x*ln(x))^2-12*I*Pi*ln(5)^2*csgn(I*ln(x))*csgn(I/x*ln(x))^2-48*I*ln(x)^2*Pi*csgn(I/x)*csgn(I/x*ln(x))^2-48*I*ln(x)^2*Pi*csgn(I*ln(x))*csgn(I/x*ln(x))^2+48*I*Pi*ln(5)*csgn(I/x*ln(x))^3*ln(x)-3*I*Pi^3*csgn(I/x)^3*csgn(I/x*ln(x))^5*csgn(I*ln(x))+9*I*Pi^3*csgn(I/x)^2*csgn(I/x*ln(x))^6*csgn(I*ln(x))-9*I*Pi^3*csgn(I/x)*csgn(I/x*ln(x))^7*csgn(I*ln(x))-3*I*Pi^3*csgn(I*ln(x))^3*csgn(I/x*ln(x))^5*csgn(I/x)+9*I*Pi^3*csgn(I*ln(x))^2*csgn(I/x*ln(x))^6*csgn(I/x)-I*Pi^3*csgn(I/x)^3*csgn(I*ln(x))^3*csgn(I/x*ln(x))^3+3*I*Pi^3*csgn(I/x)^3*csgn(I*ln(x))^2*csgn(I/x*ln(x))^4+3*I*Pi^3*csgn(I/x)^2*csgn(I*ln(x))^3*csgn(I/x*ln(x))^4-9*I*Pi^3*csgn(I/x)^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^5-12*Pi^2*csgn(I/x)^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^2*ln(x)+24*Pi^2*csgn(I/x)^2*csgn(I*ln(x))*csgn(I/x*ln(x))^3*ln(x)+48*I*Pi*ln(5)*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))*ln(x)+96*ln(5)*ln(x)^2-6*Pi^2*ln(5)*csgn(I/x)^2*csgn(I/x*ln(x))^4+12*Pi^2*ln(5)*csgn(I/x)*csgn(I/x*ln(x))^5-6*Pi^2*ln(5)*csgn(I*ln(x))^2*csgn(I/x*ln(x))^4+12*Pi^2*ln(5)*csgn(I*ln(x))*csgn(I/x*ln(x))^5+3*I*Pi^3*csgn(I*ln(x))*csgn(I/x*ln(x))^8-3*I*Pi^3*csgn(I/x)^2*csgn(I/x*ln(x))^7+3*I*Pi^3*csgn(I/x)*csgn(I/x*ln(x))^8-3*I*Pi^3*csgn(I*ln(x))^2*csgn(I/x*ln(x))^7+24*Pi^2*csgn(I/x)*csgn(I*ln(x))^2*csgn(I/x*ln(x))^3*ln(x)-48*Pi^2*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))^4*ln(x)-6*Pi^2*ln(5)*csgn(I/x)^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^2+12*Pi^2*ln(5)*csgn(I/x)^2*csgn(I*ln(x))*csgn(I/x*ln(x))^3+12*Pi^2*ln(5)*csgn(I/x)*csgn(I*ln(x))^2*csgn(I/x*ln(x))^3-24*Pi^2*ln(5)*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))^4+48*I*ln(x)^2*Pi*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))+12*I*Pi*ln(5)^2*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))-48*I*Pi*ln(5)*csgn(I/x)*csgn(I/x*ln(x))^2*ln(x)-48*I*Pi*ln(5)*csgn(I*ln(x))*csgn(I/x*ln(x))^2*ln(x))/x^2*ln(ln(x))+1/64*(16*ln(5)^4+256*ln(x)^4-24*Pi^2*ln(5)^2*csgn(I/x*ln(x))^6-96*ln(x)^2*Pi^2*csgn(I/x*ln(x))^6+Pi^4*csgn(I/x)^4*csgn(I/x*ln(x))^8-4*Pi^4*csgn(I/x)^3*csgn(I/x*ln(x))^9+6*Pi^4*csgn(I/x)^2*csgn(I/x*ln(x))^10-4*Pi^4*csgn(I/x)*csgn(I/x*ln(x))^11+Pi^4*csgn(I*ln(x))^4*csgn(I/x*ln(x))^8-4*Pi^4*csgn(I*ln(x))^3*csgn(I/x*ln(x))^9+6*Pi^4*csgn(I*ln(x))^2*csgn(I/x*ln(x))^10-4*Pi^4*csgn(I*ln(x))*csgn(I/x*ln(x))^11+128*ln(x)*ln(5)^3-144*I*ln(x)*Pi^3*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))^7+Pi^4*csgn(I/x*ln(x))^12+6*Pi^4*csgn(I/x)^4*csgn(I*ln(x))^2*csgn(I/x*ln(x))^6-4*Pi^4*csgn(I/x)^4*csgn(I*ln(x))*csgn(I/x*ln(x))^7-4*Pi^4*csgn(I/x)^4*csgn(I*ln(x))^3*csgn(I/x*ln(x))^5-384*I*Pi*ln(5)*csgn(I/x)*csgn(I/x*ln(x))^2*ln(x)^2-384*I*Pi*ln(5)*csgn(I*ln(x))*csgn(I/x*ln(x))^2*ln(x)^2-192*I*Pi*ln(5)^2*csgn(I/x)*csgn(I/x*ln(x))^2*ln(x)-192*I*Pi*ln(5)^2*csgn(I*ln(x))*csgn(I/x*ln(x))^2*ln(x)-16*I*ln(x)*Pi^3*csgn(I/x)^3*csgn(I*ln(x))^3*csgn(I/x*ln(x))^3-144*I*ln(x)*Pi^3*csgn(I/x)^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^5+48*I*ln(x)*Pi^3*csgn(I/x)^2*csgn(I*ln(x))^3*csgn(I/x*ln(x))^4-48*I*ln(x)*Pi^3*csgn(I/x)^3*csgn(I*ln(x))*csgn(I/x*ln(x))^5+144*I*ln(x)*Pi^3*csgn(I/x)^2*csgn(I*ln(x))*csgn(I/x*ln(x))^6-48*I*ln(x)*Pi^3*csgn(I/x)*csgn(I*ln(x))^3*csgn(I/x*ln(x))^5+144*I*ln(x)*Pi^3*csgn(I/x)*csgn(I*ln(x))^2*csgn(I/x*ln(x))^6+256*I*ln(x)^3*Pi*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))+192*I*Pi*ln(5)^2*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))*ln(x)+384*I*Pi*ln(5)*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))*ln(x)^2+384*ln(x)^2*ln(5)^2+512*ln(5)*ln(x)^3+16*Pi^4*csgn(I/x)^3*csgn(I*ln(x))^3*csgn(I/x*ln(x))^6-24*Pi^4*csgn(I/x)^3*csgn(I*ln(x))^2*csgn(I/x*ln(x))^7+16*Pi^4*csgn(I/x)^3*csgn(I*ln(x))*csgn(I/x*ln(x))^8+384*I*Pi*ln(5)*csgn(I/x*ln(x))^3*ln(x)^2+8*I*Pi^3*ln(5)*csgn(I/x)^3*csgn(I/x*ln(x))^6-24*I*Pi^3*ln(5)*csgn(I/x)^2*csgn(I/x*ln(x))^7+24*I*Pi^3*ln(5)*csgn(I/x)*csgn(I/x*ln(x))^8+8*I*Pi^3*ln(5)*csgn(I*ln(x))^3*csgn(I/x*ln(x))^6-24*I*Pi^3*ln(5)*csgn(I*ln(x))^2*csgn(I/x*ln(x))^7+24*I*Pi^3*ln(5)*csgn(I*ln(x))*csgn(I/x*ln(x))^8-32*I*Pi*ln(5)^3*csgn(I/x)*csgn(I/x*ln(x))^2-32*I*Pi*ln(5)^3*csgn(I*ln(x))*csgn(I/x*ln(x))^2-96*Pi^2*ln(5)*csgn(I/x)^2*csgn(I/x*ln(x))^4*ln(x)+192*Pi^2*ln(5)*csgn(I/x)*csgn(I/x*ln(x))^5*ln(x)-96*Pi^2*ln(5)*csgn(I*ln(x))^2*csgn(I/x*ln(x))^4*ln(x)+192*Pi^2*ln(5)*csgn(I*ln(x))*csgn(I/x*ln(x))^5*ln(x)-24*Pi^2*ln(5)^2*csgn(I/x)^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^2+48*Pi^2*ln(5)^2*csgn(I/x)^2*csgn(I*ln(x))*csgn(I/x*ln(x))^3+48*Pi^2*ln(5)^2*csgn(I/x)*csgn(I*ln(x))^2*csgn(I/x*ln(x))^3-96*Pi^2*ln(5)^2*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))^4-24*I*Pi^3*ln(5)*csgn(I/x)^3*csgn(I*ln(x))*csgn(I/x*ln(x))^5+72*I*Pi^3*ln(5)*csgn(I/x)^2*csgn(I*ln(x))*csgn(I/x*ln(x))^6-72*I*Pi^3*ln(5)*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))^7-24*I*Pi^3*ln(5)*csgn(I/x)*csgn(I*ln(x))^3*csgn(I/x*ln(x))^5+32*I*Pi*ln(5)^3*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))+192*I*Pi*ln(5)^2*csgn(I/x*ln(x))^3*ln(x)-96*ln(x)^2*Pi^2*csgn(I/x)^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^2+192*ln(x)^2*Pi^2*csgn(I/x)^2*csgn(I*ln(x))*csgn(I/x*ln(x))^3+192*ln(x)^2*Pi^2*csgn(I/x)*csgn(I*ln(x))^2*csgn(I/x*ln(x))^3-384*ln(x)^2*Pi^2*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))^4-256*I*ln(x)^3*Pi*csgn(I/x)*csgn(I/x*ln(x))^2-256*I*ln(x)^3*Pi*csgn(I*ln(x))*csgn(I/x*ln(x))^2+16*I*Pi^3*csgn(I/x)^3*csgn(I/x*ln(x))^6*ln(x)-48*I*Pi^3*csgn(I/x)^2*csgn(I/x*ln(x))^7*ln(x)+48*I*Pi^3*csgn(I/x)*csgn(I/x*ln(x))^8*ln(x)+16*I*Pi^3*csgn(I*ln(x))^3*csgn(I/x*ln(x))^6*ln(x)-48*I*Pi^3*csgn(I*ln(x))^2*csgn(I/x*ln(x))^7*ln(x)+48*I*Pi^3*csgn(I*ln(x))*csgn(I/x*ln(x))^8*ln(x)+48*I*Pi^3*csgn(I/x)^3*csgn(I*ln(x))^2*csgn(I/x*ln(x))^4*ln(x)+256*I*ln(x)^3*Pi*csgn(I/x*ln(x))^3-16*I*Pi^3*csgn(I/x*ln(x))^9*ln(x)-24*Pi^2*ln(5)^2*csgn(I/x)^2*csgn(I/x*ln(x))^4+48*Pi^2*ln(5)^2*csgn(I/x)*csgn(I/x*ln(x))^5-24*Pi^2*ln(5)^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^4+48*Pi^2*ln(5)^2*csgn(I*ln(x))*csgn(I/x*ln(x))^5-96*Pi^2*ln(5)*csgn(I/x*ln(x))^6*ln(x)-96*Pi^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^4*ln(x)^2+192*Pi^2*csgn(I*ln(x))*csgn(I/x*ln(x))^5*ln(x)^2-96*Pi^2*csgn(I/x)^2*csgn(I/x*ln(x))^4*ln(x)^2+192*Pi^2*csgn(I/x)*csgn(I/x*ln(x))^5*ln(x)^2+Pi^4*csgn(I/x)^4*csgn(I*ln(x))^4*csgn(I/x*ln(x))^4-4*Pi^4*csgn(I/x)^3*csgn(I*ln(x))^4*csgn(I/x*ln(x))^5+6*Pi^4*csgn(I*ln(x))^4*csgn(I/x*ln(x))^6*csgn(I/x)^2-24*Pi^4*csgn(I*ln(x))^3*csgn(I/x*ln(x))^7*csgn(I/x)^2-4*Pi^4*csgn(I*ln(x))^4*csgn(I/x*ln(x))^7*csgn(I/x)+16*Pi^4*csgn(I*ln(x))^3*csgn(I/x*ln(x))^8*csgn(I/x)+36*Pi^4*csgn(I/x)^2*csgn(I/x*ln(x))^8*csgn(I*ln(x))^2-24*Pi^4*csgn(I/x)^2*csgn(I/x*ln(x))^9*csgn(I*ln(x))-24*Pi^4*csgn(I/x)*csgn(I/x*ln(x))^9*csgn(I*ln(x))^2+16*Pi^4*csgn(I/x)*csgn(I/x*ln(x))^10*csgn(I*ln(x))-8*I*Pi^3*ln(5)*csgn(I/x*ln(x))^9+32*I*Pi*ln(5)^3*csgn(I/x*ln(x))^3-96*Pi^2*ln(5)*csgn(I/x)^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^2*ln(x)+192*Pi^2*ln(5)*csgn(I/x)^2*csgn(I*ln(x))*csgn(I/x*ln(x))^3*ln(x)+192*Pi^2*ln(5)*csgn(I/x)*csgn(I*ln(x))^2*csgn(I/x*ln(x))^3*ln(x)-384*Pi^2*ln(5)*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))^4*ln(x)+72*I*Pi^3*ln(5)*csgn(I/x)*csgn(I*ln(x))^2*csgn(I/x*ln(x))^6+24*I*Pi^3*ln(5)*csgn(I/x)^2*csgn(I*ln(x))^3*csgn(I/x*ln(x))^4-72*I*Pi^3*ln(5)*csgn(I/x)^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^5-8*I*Pi^3*ln(5)*csgn(I/x)^3*csgn(I*ln(x))^3*csgn(I/x*ln(x))^3+24*I*Pi^3*ln(5)*csgn(I/x)^3*csgn(I*ln(x))^2*csgn(I/x*ln(x))^4)/x^2","C"
4695,1,134,31,0.114000," ","int((((x^3-4*x^2+3*x)*ln(x)+(x^3-4*x^2+3*x)*ln(x-1))*ln(x*ln(x)+ln(x-1)*x)+(x^5-4*x^4+3*x^3+5*x^2-7*x+2)*ln(x)+(x^5-4*x^4+3*x^3+5*x^2-7*x+2)*ln(x-1)+2*x^2-5*x+2)/(((x^3-3*x^2+2*x)*ln(x)+(x^3-3*x^2+2*x)*ln(x-1))*ln(x*ln(x)+ln(x-1)*x)+(x^5-5*x^4+8*x^3-4*x^2)*ln(x)+(x^5-5*x^4+8*x^3-4*x^2)*ln(x-1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\ln \left(x -2\right)+\ln \left(\ln \left(\ln \left(x -1\right)+\ln \left(x \right)\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\ln \left(x -1\right)+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x -1\right)+\ln \left(x \right)\right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\ln \left(x -1\right)+\ln \left(x \right)\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\ln \left(x -1\right)+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x -1\right)+\ln \left(x \right)\right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \left(\ln \left(x -1\right)+\ln \left(x \right)\right)\right)^{3}+2 i x^{2}-4 i x +2 i \ln \left(x \right)\right)}{2}\right)$&$134$\\ \hline \end{longtable}"," ",0,"x-ln(x-2)+ln(ln(ln(x-1)+ln(x))-1/2*I*(Pi*csgn(I*x)*csgn(I*(ln(x-1)+ln(x)))*csgn(I*x*(ln(x-1)+ln(x)))-Pi*csgn(I*x)*csgn(I*x*(ln(x-1)+ln(x)))^2-Pi*csgn(I*(ln(x-1)+ln(x)))*csgn(I*x*(ln(x-1)+ln(x)))^2+Pi*csgn(I*x*(ln(x-1)+ln(x)))^3+2*I*x^2-4*I*x+2*I*ln(x)))","C"
4696,1,41,17,0.048000," ","int(1/25*((200*x+2500)*ln(x^2)+2*(40*x+500)*ln(2)+32*x^2+440*x+500)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{8}{5}+\frac{16 \ln \left(2\right)}{5}\right) x +\left(10+20 \ln \left(2\right)\right) \ln \left(x^{2}\right)+\frac{16 x^{2}}{25}+25 \ln \left(x^{2}\right)^{2}+8 x \ln \left(x^{2}\right)$&$41$\\ default&$\frac{16 x^{2}}{25}+\frac{8 x}{5}+20 \ln \left(x \right)+40 \ln \left(2\right) \ln \left(x \right)+\frac{16 x \ln \left(2\right)}{5}+8 x \ln \left(x^{2}\right)+100 \ln \left(x \right) \ln \left(x^{2}\right)-100 \ln \left(x \right)^{2}$&$46$\\ risch&$\frac{16 x^{2}}{25}+\frac{8 x}{5}+20 \ln \left(x \right)+40 \ln \left(2\right) \ln \left(x \right)+\frac{16 x \ln \left(2\right)}{5}+8 x \ln \left(x^{2}\right)+100 \ln \left(x \right) \ln \left(x^{2}\right)-100 \ln \left(x \right)^{2}$&$46$\\ \hline \end{longtable}"," ",0,"(8/5+16/5*ln(2))*x+(10+20*ln(2))*ln(x^2)+16/25*x^2+25*ln(x^2)^2+8*x*ln(x^2)","B"
4697,1,24,22,0.068000," ","int(((x^5-5*x^4+4*x^2-24*x+20)*ln(1/4*x^4+x-1)+2*x^5-26*x^4+2*x^2-44*x+24)/(2*x^4+8*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{1}{4} x^{2}-\frac{5}{2} x \right) \ln \left(\frac{1}{4} x^{4}+x -1\right)-3 x$&$24$\\ norman&$-3 x -\frac{5 \ln \left(\frac{1}{4} x^{4}+x -1\right) x}{2}+\frac{\ln \left(\frac{1}{4} x^{4}+x -1\right) x^{2}}{4}$&$31$\\ default&$-\frac{x^{2} \ln \left(2\right)}{2}+5 x \ln \left(2\right)+\frac{x^{2} \ln \left(x^{4}+4 x -4\right)}{4}+\frac{\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+4 \textit{\_Z} -4\right)}{\sum}\frac{\left(3 \textit{\_R}^{2}-4 \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{\textit{\_R}^{3}+1}\right)}{4}-\frac{5 x \ln \left(x^{4}+4 x -4\right)}{2}-3 x +\frac{5 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+4 \textit{\_Z} -4\right)}{\sum}\frac{\left(-3 \textit{\_R} +4\right) \ln \left(x -\textit{\_R} \right)}{\textit{\_R}^{3}+1}\right)}{2}+\frac{\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+4 \textit{\_Z} -4\right)}{\sum}\frac{\left(-3 \textit{\_R}^{2}+34 \textit{\_R} -40\right) \ln \left(x -\textit{\_R} \right)}{\textit{\_R}^{3}+1}\right)}{4}$&$151$\\ \hline \end{longtable}"," ",0,"(1/4*x^2-5/2*x)*ln(1/4*x^4+x-1)-3*x","A"
4698,1,56,25,0.118000," ","int((((((-8*x^2-8*x)*ln(2)-4*x^3-4*x^2)*ln(x)+(8*x^2+16*x+8)*ln(2)+4*x^3+8*x^2+4*x)*ln(ln(2)+1/2*x)+2*x^4+6*x^3+6*x^2+2*x)*ln(ln(ln(2)+1/2*x))+((-16*x*ln(2)-8*x^2)*ln(x)^2+((16*x+16)*ln(2)+8*x^2+8*x)*ln(x)+((-2*x^4-6*x^3-6*x^2-2*x)*ln(2)-x^5-3*x^4-3*x^3-x^2)*exp(x))*ln(ln(2)+1/2*x)+(4*x^3+8*x^2+4*x)*ln(x))/((2*x^4+6*x^3+6*x^2+2*x)*ln(2)+x^5+3*x^4+3*x^3+x^2)/ln(ln(2)+1/2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\ln \left(2\right)+\frac{x}{2}\right)\right)^{2}+\frac{4 \ln \left(x \right) \ln \left(\ln \left(\ln \left(2\right)+\frac{x}{2}\right)\right)}{x +1}-\frac{{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{x} x -4 \ln \left(x \right)^{2}+{\mathrm e}^{x}}{\left(x +1\right)^{2}}$&$56$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(2)+1/2*x))^2+4/(x+1)*ln(x)*ln(ln(ln(2)+1/2*x))-(exp(x)*x^2+2*exp(x)*x-4*ln(x)^2+exp(x))/(x+1)^2","B"
4699,1,31,24,0.064000," ","int(((2*x-1)*ln(x)^2+(4*x^2+38*x-18)*ln(x)+41*x^2+184*x-80)/(ln(x)^4+(8*x+40)*ln(x)^3+(24*x^2+242*x+600)*ln(x)^2+(32*x^3+488*x^2+2440*x+4000)*ln(x)+16*x^4+328*x^3+2481*x^2+8200*x+10000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(x -1\right)}{\ln \left(x \right)^{2}+4 x \ln \left(x \right)+4 x^{2}+20 \ln \left(x \right)+41 x +100}$&$31$\\ norman&$\frac{x^{2}-x}{\ln \left(x \right)^{2}+4 x \ln \left(x \right)+4 x^{2}+20 \ln \left(x \right)+41 x +100}$&$34$\\ \hline \end{longtable}"," ",0,"x*(x-1)/(ln(x)^2+4*x*ln(x)+4*x^2+20*ln(x)+41*x+100)","A"
4700,0,0,22,0.211000," ","int(((2*exp(5)-2*x-30)*ln(exp(5)^4+(-4*x-60)*exp(5)^3+(6*x^2+180*x+1350)*exp(5)^2+(-4*x^3-180*x^2-2700*x-13500)*exp(5)+x^4+60*x^3+1350*x^2+13500*x+50625)*ln(ln(exp(5)^4+(-4*x-60)*exp(5)^3+(6*x^2+180*x+1350)*exp(5)^2+(-4*x^3-180*x^2-2700*x-13500)*exp(5)+x^4+60*x^3+1350*x^2+13500*x+50625))+(3*x*exp(5)-3*x^2-45*x)*ln(exp(5)^4+(-4*x-60)*exp(5)^3+(6*x^2+180*x+1350)*exp(5)^2+(-4*x^3-180*x^2-2700*x-13500)*exp(5)+x^4+60*x^3+1350*x^2+13500*x+50625)+8*x)*exp(x/exp(1/3*ln(ln(exp(5)^4+(-4*x-60)*exp(5)^3+(6*x^2+180*x+1350)*exp(5)^2+(-4*x^3-180*x^2-2700*x-13500)*exp(5)+x^4+60*x^3+1350*x^2+13500*x+50625))/x)^2)/(3*x*exp(5)-3*x^2-45*x)/ln(exp(5)^4+(-4*x-60)*exp(5)^3+(6*x^2+180*x+1350)*exp(5)^2+(-4*x^3-180*x^2-2700*x-13500)*exp(5)+x^4+60*x^3+1350*x^2+13500*x+50625)/exp(1/3*ln(ln(exp(5)^4+(-4*x-60)*exp(5)^3+(6*x^2+180*x+1350)*exp(5)^2+(-4*x^3-180*x^2-2700*x-13500)*exp(5)+x^4+60*x^3+1350*x^2+13500*x+50625))/x)^2,x)","\[\int \frac{\left(\left(2 \,{\mathrm e}^{5}-2 x -30\right) \ln \left({\mathrm e}^{20}+\left(-4 x -60\right) {\mathrm e}^{15}+\left(6 x^{2}+180 x +1350\right) {\mathrm e}^{10}+\left(-4 x^{3}-180 x^{2}-2700 x -13500\right) {\mathrm e}^{5}+x^{4}+60 x^{3}+1350 x^{2}+13500 x +50625\right) \ln \left(\ln \left({\mathrm e}^{20}+\left(-4 x -60\right) {\mathrm e}^{15}+\left(6 x^{2}+180 x +1350\right) {\mathrm e}^{10}+\left(-4 x^{3}-180 x^{2}-2700 x -13500\right) {\mathrm e}^{5}+x^{4}+60 x^{3}+1350 x^{2}+13500 x +50625\right)\right)+\left(3 x \,{\mathrm e}^{5}-3 x^{2}-45 x \right) \ln \left({\mathrm e}^{20}+\left(-4 x -60\right) {\mathrm e}^{15}+\left(6 x^{2}+180 x +1350\right) {\mathrm e}^{10}+\left(-4 x^{3}-180 x^{2}-2700 x -13500\right) {\mathrm e}^{5}+x^{4}+60 x^{3}+1350 x^{2}+13500 x +50625\right)+8 x \right) {\mathrm e}^{x \,{\mathrm e}^{\frac{\ln \left(\frac{1}{\ln \left({\mathrm e}^{20}+\left(-4 x -60\right) {\mathrm e}^{15}+\left(6 x^{2}+180 x +1350\right) {\mathrm e}^{10}+\left(-4 x^{3}-180 x^{2}-2700 x -13500\right) {\mathrm e}^{5}+x^{4}+60 x^{3}+1350 x^{2}+13500 x +50625\right)^{\frac{2}{3}}}\right)}{x}}} {\mathrm e}^{\frac{\ln \left(\frac{1}{\ln \left({\mathrm e}^{20}+\left(-4 x -60\right) {\mathrm e}^{15}+\left(6 x^{2}+180 x +1350\right) {\mathrm e}^{10}+\left(-4 x^{3}-180 x^{2}-2700 x -13500\right) {\mathrm e}^{5}+x^{4}+60 x^{3}+1350 x^{2}+13500 x +50625\right)^{\frac{2}{3}}}\right)}{x}}}{\left(3 x \,{\mathrm e}^{5}-3 x^{2}-45 x \right) \ln \left({\mathrm e}^{20}+\left(-4 x -60\right) {\mathrm e}^{15}+\left(6 x^{2}+180 x +1350\right) {\mathrm e}^{10}+\left(-4 x^{3}-180 x^{2}-2700 x -13500\right) {\mathrm e}^{5}+x^{4}+60 x^{3}+1350 x^{2}+13500 x +50625\right)}\, dx\]"," ",0,"int(((2*exp(5)-2*x-30)*ln(exp(5)^4+(-4*x-60)*exp(5)^3+(6*x^2+180*x+1350)*exp(5)^2+(-4*x^3-180*x^2-2700*x-13500)*exp(5)+x^4+60*x^3+1350*x^2+13500*x+50625)*ln(ln(exp(5)^4+(-4*x-60)*exp(5)^3+(6*x^2+180*x+1350)*exp(5)^2+(-4*x^3-180*x^2-2700*x-13500)*exp(5)+x^4+60*x^3+1350*x^2+13500*x+50625))+(3*x*exp(5)-3*x^2-45*x)*ln(exp(5)^4+(-4*x-60)*exp(5)^3+(6*x^2+180*x+1350)*exp(5)^2+(-4*x^3-180*x^2-2700*x-13500)*exp(5)+x^4+60*x^3+1350*x^2+13500*x+50625)+8*x)*exp(x/exp(1/3*ln(ln(exp(5)^4+(-4*x-60)*exp(5)^3+(6*x^2+180*x+1350)*exp(5)^2+(-4*x^3-180*x^2-2700*x-13500)*exp(5)+x^4+60*x^3+1350*x^2+13500*x+50625))/x)^2)/(3*x*exp(5)-3*x^2-45*x)/ln(exp(5)^4+(-4*x-60)*exp(5)^3+(6*x^2+180*x+1350)*exp(5)^2+(-4*x^3-180*x^2-2700*x-13500)*exp(5)+x^4+60*x^3+1350*x^2+13500*x+50625)/exp(1/3*ln(ln(exp(5)^4+(-4*x-60)*exp(5)^3+(6*x^2+180*x+1350)*exp(5)^2+(-4*x^3-180*x^2-2700*x-13500)*exp(5)+x^4+60*x^3+1350*x^2+13500*x+50625))/x)^2,x)","F"
4701,1,28,21,0.271000," ","int((768*x^4+240*x)/(256*x^4*ln(2)^2+2*(-128*x^4*exp(1)+512*x^5-80*x^2)*ln(2)+64*x^4*exp(1)^2+(-512*x^5+80*x^2)*exp(1)+1024*x^6-320*x^3+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x^{2}}{x^{2} {\mathrm e}-2 x^{2} \ln \left(2\right)-4 x^{3}+\frac{5}{8}}$&$28$\\ gosper&$\frac{24 x^{2}}{8 x^{2} {\mathrm e}-16 x^{2} \ln \left(2\right)-32 x^{3}+5}$&$29$\\ norman&$\frac{24 x^{2}}{8 x^{2} {\mathrm e}-16 x^{2} \ln \left(2\right)-32 x^{3}+5}$&$29$\\ default&$\frac{3 \left(\munderset{\textit{\_R} =\RootOf \left(25+1024 \textit{\_Z}^{6}+\left(-512 \,{\mathrm e}+1024 \ln \left(2\right)\right) \textit{\_Z}^{5}+\left(-256 \,{\mathrm e} \ln \left(2\right)+256 \ln \left(2\right)^{2}+64 \,{\mathrm e}^{2}\right) \textit{\_Z}^{4}-320 \textit{\_Z}^{3}+\left(80 \,{\mathrm e}-160 \ln \left(2\right)\right) \textit{\_Z}^{2}\right)}{\sum}\frac{\left(16 \textit{\_R}^{4}+5 \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{8 \textit{\_R}^{3} {\mathrm e}^{2}-32 \,{\mathrm e} \ln \left(2\right) \textit{\_R}^{3}-80 \textit{\_R}^{4} {\mathrm e}+32 \textit{\_R}^{3} \ln \left(2\right)^{2}+160 \textit{\_R}^{4} \ln \left(2\right)+192 \textit{\_R}^{5}+5 \textit{\_R} \,{\mathrm e}-10 \ln \left(2\right) \textit{\_R} -30 \textit{\_R}^{2}}\right)}{2}$&$144$\\ \hline \end{longtable}"," ",0,"3*x^2/(x^2*exp(1)-2*x^2*ln(2)-4*x^3+5/8)","A"
4702,1,18,18,0.054000," ","int(((x*ln(x)^2+2*x*ln(x)-x)*exp(x*ln(x)^2+3-x)+1)*exp(exp(x*ln(x)^2+3-x))+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{{\mathrm e}^{x \ln \left(x \right)^{2}+3-x}}+x$&$18$\\ \hline \end{longtable}"," ",0,"x*exp(exp(x*ln(x)^2+3-x))+x","A"
4703,1,129,35,0.086000," ","int(((2*x^3-18*x^2+30*x+55)*ln(x)^5+(10*x^3-90*x^2+150*x+275)*ln(x)^4+((-6*x^4+56*x^3-110*x^2-100*x)*exp(2)+10*x^6-92*x^5+170*x^4+220*x^3-180*x^2+300*x+550)*ln(x)^3+((-14*x^4+132*x^3-270*x^2-200*x)*exp(2)+26*x^6-240*x^5+450*x^4+520*x^3-180*x^2+300*x+550)*ln(x)^2+((4*x^5-40*x^4+100*x^3)*exp(2)^2+(-12*x^7+120*x^6-300*x^5-10*x^4+96*x^3-210*x^2-100*x)*exp(2)+8*x^9-80*x^8+200*x^7+22*x^6-204*x^5+390*x^4+410*x^3-90*x^2+150*x+275)*ln(x)+(-4*x^7+40*x^6-100*x^5-2*x^4+20*x^3-50*x^2)*exp(2)+4*x^9-40*x^8+100*x^7+6*x^6-56*x^5+110*x^4+102*x^3-18*x^2+30*x+55)/((x^2-10*x+25)*ln(x)^5+(5*x^2-50*x+125)*ln(x)^4+(10*x^2-100*x+250)*ln(x)^3+(10*x^2-100*x+250)*ln(x)^2+(5*x^2-50*x+125)*ln(x)+x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3}-3 x^{2}-10 x -5}{x -5}+\frac{x^{2} \left(x^{6}-2 x^{4} {\mathrm e}^{2}+2 x^{3} \ln \left(x \right)^{2}+x^{2} {\mathrm e}^{4}-2 x \,{\mathrm e}^{2} \ln \left(x \right)^{2}+4 x^{3} \ln \left(x \right)+2 x^{2} \ln \left(x \right)^{2}-4 x \,{\mathrm e}^{2} \ln \left(x \right)-2 \,{\mathrm e}^{2} \ln \left(x \right)^{2}+2 x^{3}+4 x^{2} \ln \left(x \right)-2 \,{\mathrm e}^{2} x -4 \,{\mathrm e}^{2} \ln \left(x \right)+2 x^{2}-2 \,{\mathrm e}^{2}\right)}{\left(\ln \left(x \right)+1\right)^{4}}$&$129$\\ \hline \end{longtable}"," ",0,"(x^3-3*x^2-10*x-5)/(x-5)+x^2*(x^6-2*x^4*exp(2)+2*x^3*ln(x)^2+x^2*exp(4)-2*x*exp(2)*ln(x)^2+4*x^3*ln(x)+2*x^2*ln(x)^2-4*x*exp(2)*ln(x)-2*exp(2)*ln(x)^2+2*x^3+4*x^2*ln(x)-2*exp(2)*x-4*exp(2)*ln(x)+2*x^2-2*exp(2))/(ln(x)+1)^4","B"
4704,1,32,21,0.069000," ","int(2*x*exp(3)*exp(4*exp(5))^2/(exp(3)^3-15*x*exp(3)^2+75*x^2*exp(3)-125*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{2 \,{\mathrm e}^{3} {\mathrm e}^{8 \,{\mathrm e}^{5}} x}{5}-\frac{{\mathrm e}^{6} {\mathrm e}^{8 \,{\mathrm e}^{5}}}{25}}{\left({\mathrm e}^{3}-5 x \right)^{2}}$&$32$\\ risch&$\frac{2 \left(\frac{x}{5}-\frac{{\mathrm e}^{3}}{50}\right) {\mathrm e}^{3+8 \,{\mathrm e}^{5}}}{{\mathrm e}^{6}-10 x \,{\mathrm e}^{3}+25 x^{2}}$&$33$\\ gosper&$-\frac{{\mathrm e}^{8 \,{\mathrm e}^{5}} {\mathrm e}^{3} \left({\mathrm e}^{3}-10 x \right)}{25 \left({\mathrm e}^{6}-10 x \,{\mathrm e}^{3}+25 x^{2}\right)}$&$35$\\ default&$-\frac{2 \,{\mathrm e}^{3} {\mathrm e}^{8 \,{\mathrm e}^{5}} \left(\munderset{\textit{\_R} =\RootOf \left(-{\mathrm e}^{9}+15 \textit{\_Z} \,{\mathrm e}^{6}-75 \textit{\_Z}^{2} {\mathrm e}^{3}+125 \textit{\_Z}^{3}\right)}{\sum}\frac{\textit{\_R} \ln \left(x -\textit{\_R} \right)}{{\mathrm e}^{6}-10 \textit{\_R} \,{\mathrm e}^{3}+25 \textit{\_R}^{2}}\right)}{15}$&$61$\\ \hline \end{longtable}"," ",0,"(2/5*exp(3)*exp(exp(5))^8*x-1/25*exp(3)^2*exp(exp(5))^8)/(exp(3)-5*x)^2","A"
4705,1,22,25,0.349000," ","int((3*ln(x)-1)/(x*ln(x)*ln(1/10*x^3/exp(4)/exp(x)/ln(x))+x^2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(\frac{x^{3} {\mathrm e}^{-4} {\mathrm e}^{-x}}{10 \ln \left(x \right)}\right)+x \right)$&$22$\\ risch&$\ln \left(\ln \left({\mathrm e}^{x}\right)+\frac{i \left(-8 i+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x^{3} {\mathrm e}^{-x}}{\ln \left(x \right)}\right)+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{\ln \left(x \right)}\right)+6 i \ln \left(x \right)+2 i x +\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{\ln \left(x \right)}\right)^{3}+\pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i x^{3} {\mathrm e}^{-x}}{\ln \left(x \right)}\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{\ln \left(x \right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{\ln \left(x \right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(\frac{i x^{3} {\mathrm e}^{-x}}{\ln \left(x \right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x^{3} {\mathrm e}^{-x}}{\ln \left(x \right)}\right)^{2}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-2 i \ln \left(5\right)-2 i \ln \left(2\right)-2 i \ln \left(\ln \left(x \right)\right)\right)}{2}\right)$&$359$\\ \hline \end{longtable}"," ",0,"ln(ln(1/10*x^3/exp(4)/exp(x)/ln(x))+x)","A"
4706,1,31,24,5.881000," ","int(((2*x^2+8*x)*exp(1/4*x)^2*ln(4*exp(5+x))-8*x^2*exp(1/4*x)^2)/(ln(4*exp(5+x))^3-12*x*exp(1/4*x)*ln(4*exp(5+x))^2+48*x^2*exp(1/4*x)^2*ln(4*exp(5+x))-64*x^3*exp(1/4*x)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 x^{2} {\mathrm e}^{\frac{x}{2}}}{\left(4 x \,{\mathrm e}^{\frac{x}{4}}-\ln \left(4 \,{\mathrm e}^{5+x}\right)\right)^{2}}$&$31$\\ risch&$\frac{16 x^{2} {\mathrm e}^{\frac{x}{2}}}{\left(i \pi  \mathrm{csgn}\left(i {\mathrm e}^{\frac{3 x}{4}}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{4}}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{3 x}{4}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{4}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{3 x}{4}}\right)^{2}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{2}}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{3 x}{4}}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{3}-2 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{4}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{2}}\right)^{2}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{4}}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{2}}\right)+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{4}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{3 x}{4}}\right)+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{x}{4}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{3 x}{4}}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-10+8 x \,{\mathrm e}^{\frac{x}{4}}-4 \ln \left(2\right)-8 \ln \left({\mathrm e}^{\frac{x}{4}}\right)\right)^{2}}$&$254$\\ \hline \end{longtable}"," ",0,"4*x^2*exp(1/4*x)^2/(4*x*exp(1/4*x)-ln(4*exp(5+x)))^2","A"
4707,1,35,27,0.706000," ","int(((((x^3+2*x^2)*exp(x)-2*x^2-4*x)*ln(3+3/2*x)+(2*x^2+4*x)*exp(x)-x^2-2*x-4)*exp(exp(x))+(x^3+2*x^2)*ln(3+3/2*x)+x^3)/((x^5+2*x^4)*ln(3+3/2*x)^2+(4*x^4+8*x^3)*ln(3+3/2*x)+4*x^3+8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{2+x \ln \left(3+\frac{3 x}{2}\right)}+\frac{{\mathrm e}^{{\mathrm e}^{x}}}{\left(2+x \ln \left(3+\frac{3 x}{2}\right)\right) x}$&$35$\\ \hline \end{longtable}"," ",0,"-1/(2+x*ln(3+3/2*x))+1/(2+x*ln(3+3/2*x))/x*exp(exp(x))","A"
4708,1,6,5,0.012000," ","int(18*exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$18 x \,{\mathrm e}^{4}$&$6$\\ norman&$18 x \,{\mathrm e}^{4}$&$6$\\ risch&$18 x \,{\mathrm e}^{4}$&$6$\\ \hline \end{longtable}"," ",0,"18*x*exp(4)","A"
4709,1,69,21,0.107000," ","int((4687500*x^4*exp(x)*exp(exp(x))*exp(exp(exp(x)))+1562500*x^4+1562500*x^3)*exp(3*exp(exp(exp(x)))+x)^4+(-1687500*x^4*exp(x)*exp(exp(x))*exp(exp(exp(x)))-562500*x^4-750000*x^3)*exp(3*exp(exp(exp(x)))+x)^3+(202500*x^4*exp(x)*exp(exp(x))*exp(exp(exp(x)))+67500*x^4+135000*x^3)*exp(3*exp(exp(exp(x)))+x)^2+(-8100*x^4*exp(x)*exp(exp(x))*exp(exp(exp(x)))-2700*x^4-10800*x^3)*exp(3*exp(exp(exp(x)))+x)+324*x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$390625 \,{\mathrm e}^{12 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}+4 x} x^{4}-187500 \,{\mathrm e}^{9 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}+3 x} x^{4}+33750 \,{\mathrm e}^{6 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}+2 x} x^{4}-2700 \,{\mathrm e}^{3 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}+x} x^{4}+81 x^{4}$&$69$\\ \hline \end{longtable}"," ",0,"390625*exp(12*exp(exp(exp(x)))+4*x)*x^4-187500*exp(9*exp(exp(exp(x)))+3*x)*x^4+33750*exp(6*exp(exp(exp(x)))+2*x)*x^4-2700*exp(3*exp(exp(exp(x)))+x)*x^4+81*x^4","B"
4710,1,25,21,0.086000," ","int(((-x-1)*exp(11)*exp(x)+exp(11)+4*x^3)/(x*exp(11)*exp(x)+(-x-7)*exp(11)-x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(-x^{4}+x \,{\mathrm e}^{11} {\mathrm e}^{x}-{\mathrm e}^{11} x -7 \,{\mathrm e}^{11}\right)$&$25$\\ risch&$-\ln \left(x \right)-\ln \left({\mathrm e}^{x}-\frac{\left(x^{4}+{\mathrm e}^{11} x +7 \,{\mathrm e}^{11}\right) {\mathrm e}^{-11}}{x}\right)$&$31$\\ \hline \end{longtable}"," ",0,"-ln(-x^4+x*exp(11)*exp(x)-exp(11)*x-7*exp(11))","A"
4711,1,21,28,0.264000," ","int((-64*exp(x+ln(x))^2+(64*x*ln(2)-48*x^3+48*x^2)*exp(x+ln(x))-16*x^2*ln(2)^2-24*x^3*ln(2))/(16*x^2*exp(x+ln(x))^2-16*x^3*ln(2)*exp(x+ln(x))+4*x^4*ln(2)^2)/exp(-3*x^2/(4*exp(x+ln(x))-2*x*ln(2))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{\frac{3 x}{2 \left(2 \,{\mathrm e}^{x}-\ln \left(2\right)\right)}}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"4/x*exp(3/2*x/(2*exp(x)-ln(2)))","A"
4712,1,47,24,0.400000," ","int((((-50*x-50)*exp(3)-150)*ln((x+1)*exp(3)+3)^2+(((-10*x^3+10*x)*exp(3)-30*x^2+30*x)*exp(x)+(-10*x^2+40*x)*exp(3)-30*x)*ln((x+1)*exp(3)+3)+((2*x^4+2*x^3)*exp(3)+6*x^3)*exp(x)^2+((-2*x^4-2*x^3-10*x^2)*exp(3)-6*x^3)*exp(x)+(-x^4-x^3+10*x^2)*exp(3)-3*x^3)/((x^4+x^3)*exp(3)+3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 \ln \left(\left(x +1\right) {\mathrm e}^{3}+3\right)^{2}}{x^{2}}-\frac{10 \left({\mathrm e}^{x}-1\right) \ln \left(\left(x +1\right) {\mathrm e}^{3}+3\right)}{x}+{\mathrm e}^{2 x}-x -2 \,{\mathrm e}^{x}$&$47$\\ \hline \end{longtable}"," ",0,"25/x^2*ln((x+1)*exp(3)+3)^2-10*(exp(x)-1)/x*ln((x+1)*exp(3)+3)+exp(2*x)-x-2*exp(x)","A"
4713,1,24,25,0.042000," ","int(1/256*(-18*x-9)*exp(x)^2+1/256*(-18*x^2-36*x)*exp(x)-27/256*x^2+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-\frac{9 x^{3}}{256}-\frac{9 x \,{\mathrm e}^{2 x}}{256}-\frac{9 \,{\mathrm e}^{x} x^{2}}{128}$&$24$\\ norman&$x^{2}-\frac{9 x^{3}}{256}-\frac{9 x \,{\mathrm e}^{2 x}}{256}-\frac{9 \,{\mathrm e}^{x} x^{2}}{128}$&$24$\\ risch&$x^{2}-\frac{9 x^{3}}{256}-\frac{9 x \,{\mathrm e}^{2 x}}{256}-\frac{9 \,{\mathrm e}^{x} x^{2}}{128}$&$24$\\ \hline \end{longtable}"," ",0,"x^2-9/256*x^3-9/256*x*exp(x)^2-9/128*exp(x)*x^2","A"
4714,1,26,25,0.044000," ","int(((-4*x*exp(x)^2*ln(x)+8*exp(x)*x^2)*exp(exp(x)+2-ln(5))+(4*x-4)*exp(x)*ln(x)+4*exp(x))*exp(exp(exp(x)+2-ln(5))+3)/(exp(x)^2*ln(x)^2-4*x*exp(x)*ln(x)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x \,{\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{x}+2}}{5}+3}}{-{\mathrm e}^{x} \ln \left(x \right)+2 x}$&$26$\\ \hline \end{longtable}"," ",0,"4*x/(-exp(x)*ln(x)+2*x)*exp(1/5*exp(exp(x)+2)+3)","A"
4715,1,26,25,0.068000," ","int(((-3*exp(x^2)*x+exp(4)-1)*ln(-3*exp(x^2)*x+exp(4)-1)*ln(ln(-3*exp(x^2)*x+exp(4)-1))+(-3*exp(x^2)*x+exp(4)-1)*exp(exp(2))*ln(-3*exp(x^2)*x+exp(4)-1)+(-6*x^2-3)*exp(x^2)*exp(exp(2))+(6*x^3+3*x)*exp(x^2))/((3*exp(x^2)*x+1-exp(4))*ln(-3*exp(x^2)*x+exp(4)-1)*ln(ln(-3*exp(x^2)*x+exp(4)-1))^2+(6*x^2*exp(x^2)-2*x*exp(4)+2*x)*ln(-3*exp(x^2)*x+exp(4)-1)*ln(ln(-3*exp(x^2)*x+exp(4)-1))+(3*x^3*exp(x^2)-x^2*exp(4)+x^2)*ln(-3*exp(x^2)*x+exp(4)-1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{{\mathrm e}^{2}}-x}{\ln \left(\ln \left(-3 \,{\mathrm e}^{x^{2}} x +{\mathrm e}^{4}-1\right)\right)+x}$&$26$\\ \hline \end{longtable}"," ",0,"(exp(exp(2))-x)/(ln(ln(-3*exp(x^2)*x+exp(4)-1))+x)","A"
4716,1,13,25,0.026000," ","int(1/16*(8*x^3+16*x^2+25)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{4}+x -\frac{25}{16 x}$&$13$\\ risch&$\frac{x^{2}}{4}+x -\frac{25}{16 x}$&$13$\\ norman&$\frac{-\frac{25}{16}+x^{2}+\frac{1}{4} x^{3}}{x}$&$15$\\ gosper&$\frac{4 x^{3}+16 x^{2}-25}{16 x}$&$18$\\ \hline \end{longtable}"," ",0,"1/4*x^2+x-25/16/x","A"
4717,1,81,28,0.386000," ","int(((-4*exp(x+1)*exp(exp(5))^3+(12*x-24)*exp(x+1)*exp(exp(5))^2+(-12*x^2+48*x-48)*exp(x+1)*exp(exp(5))+(4*x^3-24*x^2+48*x-32)*exp(x+1))*exp(-exp(x+1)+ln(5))^2+((-2*x*exp(x+1)+2)*exp(exp(5))^2+((4*x^2-8*x)*exp(x+1)-2*x+8)*exp(exp(5))+(-2*x^3+8*x^2-8*x)*exp(x+1)-4*x+8)*exp(-exp(x+1)+ln(5))+x*exp(exp(5))+2*x)/(2*exp(exp(5))^3+(12-6*x)*exp(exp(5))^2+(6*x^2-24*x+24)*exp(exp(5))-2*x^3+12*x^2-24*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(1+\frac{{\mathrm e}^{{\mathrm e}^{5}}}{2}\right) x -\frac{{\mathrm e}^{2 \,{\mathrm e}^{5}}}{4}-{\mathrm e}^{{\mathrm e}^{5}}-1}{{\mathrm e}^{2 \,{\mathrm e}^{5}}-2 x \,{\mathrm e}^{{\mathrm e}^{5}}+x^{2}+4 \,{\mathrm e}^{{\mathrm e}^{5}}-4 x +4}+25 \,{\mathrm e}^{-2 \,{\mathrm e}^{x +1}}+\frac{5 x \,{\mathrm e}^{-{\mathrm e}^{x +1}}}{{\mathrm e}^{{\mathrm e}^{5}}-x +2}$&$81$\\ norman&$\frac{25 x^{2} {\mathrm e}^{-2 \,{\mathrm e}^{x +1}}+\left(1+\frac{{\mathrm e}^{{\mathrm e}^{5}}}{2}\right) x +25 \left({\mathrm e}^{2 \,{\mathrm e}^{5}}+4 \,{\mathrm e}^{{\mathrm e}^{5}}+4\right) {\mathrm e}^{-2 \,{\mathrm e}^{x +1}}+25 \left(-2 \,{\mathrm e}^{{\mathrm e}^{5}}-4\right) x \,{\mathrm e}^{-2 \,{\mathrm e}^{x +1}}+\left({\mathrm e}^{{\mathrm e}^{5}}+2\right) x \,{\mathrm e}^{-{\mathrm e}^{x +1}+\ln \left(5\right)}-x^{2} {\mathrm e}^{-{\mathrm e}^{x +1}+\ln \left(5\right)}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{5}}}{4}-{\mathrm e}^{{\mathrm e}^{5}}-1}{\left({\mathrm e}^{{\mathrm e}^{5}}-x +2\right)^{2}}$&$129$\\ \hline \end{longtable}"," ",0,"((1+1/2*exp(exp(5)))*x-1/4*exp(2*exp(5))-exp(exp(5))-1)/(exp(2*exp(5))-2*x*exp(exp(5))+x^2+4*exp(exp(5))-4*x+4)+25*exp(-2*exp(x+1))+5*x/(exp(exp(5))-x+2)*exp(-exp(x+1))","B"
4718,1,20,20,0.028000," ","int(1/5*((64*x^2-64)*ln(x^2)-256*x^2-512*x-256)/x^2/ln(x^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\frac{64}{5}+\frac{128}{5} x +\frac{64}{5} x^{2}}{x \ln \left(x^{2}\right)^{2}}$&$20$\\ norman&$\frac{\frac{64}{5}+\frac{128}{5} x +\frac{64}{5} x^{2}}{x \ln \left(x^{2}\right)^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"64/5/x*(x^2+2*x+1)/ln(x^2)^2","A"
4719,1,29,26,0.042000," ","int((-100*x^3-60*x^2+185*x-50)/((10*x^2+5*x-15)*ln(2*x+3)+(-2*x^2-x+3)*ln(x-1)+(-10*x^2-5*x+15)*exp(4)-10*x^4-7*x^3+14*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \ln \left(\ln \left(2 x +3\right)-x^{2}-{\mathrm e}^{4}-\frac{x}{5}-\frac{\ln \left(x -1\right)}{5}\right)$&$29$\\ \hline \end{longtable}"," ",0,"5*ln(ln(2*x+3)-x^2-exp(4)-1/5*x-1/5*ln(x-1))","A"
4720,1,40,20,0.089000," ","int((6*x^2+2)*exp(x^3+x)^2+((-6*x^4-2*x^2-4*x)*ln(5)+12*x^4+4*x^2+8*x)*exp(x^3+x)+4*x^3*ln(5)^2-16*x^3*ln(5)+16*x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{2 x^{3}+2 x}+\left(\ln \left(5\right)^{2}-4 \ln \left(5\right)+4\right) x^{4}+{\mathrm e}^{x^{3}+x} \left(-2 \ln \left(5\right)+4\right) x^{2}$&$40$\\ default&${\mathrm e}^{x^{3}+x} \left(-2 \ln \left(5\right)+4\right) x^{2}+{\mathrm e}^{2 x^{3}+2 x}+4 x^{4}-4 x^{4} \ln \left(5\right)+x^{4} \ln \left(5\right)^{2}$&$46$\\ risch&${\mathrm e}^{2 x \left(x^{2}+1\right)}-2 \left(\ln \left(5\right)-2\right) x^{2} {\mathrm e}^{x \left(x^{2}+1\right)}+x^{4} \ln \left(5\right)^{2}-4 x^{4} \ln \left(5\right)+4 x^{4}$&$48$\\ \hline \end{longtable}"," ",0,"exp(x^3+x)^2+(ln(5)^2-4*ln(5)+4)*x^4+exp(x^3+x)*(-2*ln(5)+4)*x^2","A"
4721,1,470,26,0.309000," ","int(((((4*x+8)*ln(2+x)^2+(8*x+16)*ln(2+x))*ln((x*ln(2+x)+2*x)/ln(2+x))+(-4*x^4-8*x^3)*ln(2+x)^2+(-8*x^4-16*x^3)*ln(2+x))*ln(ln((x*ln(2+x)+2*x)/ln(2+x))-x^3)+(-3*x^5-18*x^4-24*x^3+x^2+6*x+8)*ln(2+x)^2+(-6*x^5-36*x^4-48*x^3+2*x^2+12*x+16)*ln(2+x)-2*x^2-8*x)/(((x^3+10*x^2+32*x+32)*ln(2+x)^2+(2*x^3+20*x^2+64*x+64)*ln(2+x))*ln((x*ln(2+x)+2*x)/ln(2+x))+(-x^6-10*x^5-32*x^4-32*x^3)*ln(2+x)^2+(-2*x^6-20*x^5-64*x^4-64*x^3)*ln(2+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \ln \left(\ln \left(x \right)-\ln \left(\ln \left(2+x \right)\right)+\ln \left(\ln \left(2+x \right)+2\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right) \left(-\mathrm{csgn}\left(\frac{i \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right)+\mathrm{csgn}\left(\frac{i}{\ln \left(2+x \right)}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right)+\mathrm{csgn}\left(i \left(\ln \left(2+x \right)+2\right)\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right) \left(-\mathrm{csgn}\left(\frac{i x \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(\frac{i x \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right)+\mathrm{csgn}\left(\frac{i \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right)\right)}{2}-x^{3}\right)}{4+x}+\ln \left(\ln \left(\ln \left(2+x \right)+2\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right) \mathrm{csgn}\left(\frac{i x \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(\ln \left(2+x \right)+2\right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(2+x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right)-\pi  \,\mathrm{csgn}\left(i \left(\ln \left(2+x \right)+2\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(2+x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right) \mathrm{csgn}\left(\frac{i x \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i x \left(\ln \left(2+x \right)+2\right)}{\ln \left(2+x \right)}\right)^{3}-2 i x^{3}+2 i \ln \left(x \right)-2 i \ln \left(\ln \left(2+x \right)\right)\right)}{2}\right)$&$470$\\ \hline \end{longtable}"," ",0,"-4/(4+x)*ln(ln(x)-ln(ln(2+x))+ln(ln(2+x)+2)-1/2*I*Pi*csgn(I/ln(2+x)*(ln(2+x)+2))*(-csgn(I/ln(2+x)*(ln(2+x)+2))+csgn(I/ln(2+x)))*(-csgn(I/ln(2+x)*(ln(2+x)+2))+csgn(I*(ln(2+x)+2)))-1/2*I*Pi*csgn(I*x/ln(2+x)*(ln(2+x)+2))*(-csgn(I*x/ln(2+x)*(ln(2+x)+2))+csgn(I*x))*(-csgn(I*x/ln(2+x)*(ln(2+x)+2))+csgn(I/ln(2+x)*(ln(2+x)+2)))-x^3)+ln(ln(ln(2+x)+2)-1/2*I*(Pi*csgn(I*x)*csgn(I/ln(2+x)*(ln(2+x)+2))*csgn(I*x/ln(2+x)*(ln(2+x)+2))-Pi*csgn(I*x)*csgn(I*x/ln(2+x)*(ln(2+x)+2))^2+Pi*csgn(I*(ln(2+x)+2))*csgn(I/ln(2+x))*csgn(I/ln(2+x)*(ln(2+x)+2))-Pi*csgn(I*(ln(2+x)+2))*csgn(I/ln(2+x)*(ln(2+x)+2))^2-Pi*csgn(I/ln(2+x))*csgn(I/ln(2+x)*(ln(2+x)+2))^2+Pi*csgn(I/ln(2+x)*(ln(2+x)+2))^3-Pi*csgn(I/ln(2+x)*(ln(2+x)+2))*csgn(I*x/ln(2+x)*(ln(2+x)+2))^2+Pi*csgn(I*x/ln(2+x)*(ln(2+x)+2))^3-2*I*x^3+2*I*ln(x)-2*I*ln(ln(2+x))))","C"
4722,1,19,17,0.084000," ","int(((5-x)*ln(5-x)-2*x^2+5*x+20)/(2*x-10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 x -\frac{x^{2}}{2}-\frac{\ln \left(5-x \right) x}{2}$&$19$\\ risch&$-2 x -\frac{x^{2}}{2}-\frac{\ln \left(5-x \right) x}{2}$&$19$\\ derivativedivides&$\frac{\left(5-x \right) \ln \left(5-x \right)}{2}+35-7 x -\frac{\left(5-x \right)^{2}}{2}-\frac{5 \ln \left(5-x \right)}{2}$&$36$\\ default&$\frac{\left(5-x \right) \ln \left(5-x \right)}{2}+35-7 x -\frac{\left(5-x \right)^{2}}{2}-\frac{5 \ln \left(5-x \right)}{2}$&$36$\\ \hline \end{longtable}"," ",0,"-2*x-1/2*x^2-1/2*ln(5-x)*x","A"
4723,1,194,20,0.129000," ","int(((-40*x-40)*exp(x)-10*x^3-45*x^2-38*x-24)/(20*exp(x)+5*x^2+20*x+4)/ln(1/20*(20*exp(x)+5*x^2+20*x+4)*exp(x^2+x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i}{\pi  \,\mathrm{csgn}\left(i \left(x^{2}+4 x +4 \,{\mathrm e}^{x}+\frac{4}{5}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x +1\right) x}\right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x +1\right) x} \left(x^{2}+4 x +4 \,{\mathrm e}^{x}+\frac{4}{5}\right)\right)-\pi  \,\mathrm{csgn}\left(i \left(x^{2}+4 x +4 \,{\mathrm e}^{x}+\frac{4}{5}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x +1\right) x} \left(x^{2}+4 x +4 \,{\mathrm e}^{x}+\frac{4}{5}\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\left(x +1\right) x}\right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x +1\right) x} \left(x^{2}+4 x +4 \,{\mathrm e}^{x}+\frac{4}{5}\right)\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{\left(x +1\right) x} \left(x^{2}+4 x +4 \,{\mathrm e}^{x}+\frac{4}{5}\right)\right)^{3}-4 i \ln \left(2\right)+2 i \ln \left(x^{2}+4 x +4 \,{\mathrm e}^{x}+\frac{4}{5}\right)+2 i \ln \left({\mathrm e}^{\left(x +1\right) x}\right)}$&$194$\\ \hline \end{longtable}"," ",0,"2*I/(Pi*csgn(I*(x^2+4*x+4*exp(x)+4/5))*csgn(I*exp((x+1)*x))*csgn(I*exp((x+1)*x)*(x^2+4*x+4*exp(x)+4/5))-Pi*csgn(I*(x^2+4*x+4*exp(x)+4/5))*csgn(I*exp((x+1)*x)*(x^2+4*x+4*exp(x)+4/5))^2-Pi*csgn(I*exp((x+1)*x))*csgn(I*exp((x+1)*x)*(x^2+4*x+4*exp(x)+4/5))^2+Pi*csgn(I*exp((x+1)*x)*(x^2+4*x+4*exp(x)+4/5))^3-4*I*ln(2)+2*I*ln(x^2+4*x+4*exp(x)+4/5)+2*I*ln(exp((x+1)*x)))","C"
4724,1,16,14,0.050000," ","int(1/5*(-x^2-2*x)*exp(x)*ln(10*x)-1/5*exp(x)*x+4/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 x}{5}-\frac{{\mathrm e}^{x} \ln \left(10 x \right) x^{2}}{5}$&$16$\\ norman&$\frac{4 x}{5}-\frac{{\mathrm e}^{x} \ln \left(10 x \right) x^{2}}{5}$&$16$\\ risch&$\frac{4 x}{5}-\frac{{\mathrm e}^{x} \ln \left(10 x \right) x^{2}}{5}$&$16$\\ \hline \end{longtable}"," ",0,"4/5*x-1/5*exp(x)*ln(10*x)*x^2","A"
4725,1,36,21,0.055000," ","int(1/6*((10*x-10)*ln(5)*exp(x)^2+((20-10*x)*exp(3)-5*x+10)*ln(5)*exp(x)-10*exp(3)^2*ln(5))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-\frac{5 \,{\mathrm e}^{3} \ln \left(5\right)}{3}-\frac{5 \ln \left(5\right)}{6}\right) {\mathrm e}^{x}+\frac{5 \,{\mathrm e}^{6} \ln \left(5\right)}{6}+\frac{5 \ln \left(5\right) {\mathrm e}^{2 x}}{6}}{x^{2}}$&$36$\\ risch&$\frac{5 \,{\mathrm e}^{6} \ln \left(5\right)}{6 x^{2}}+\frac{5 \ln \left(5\right) {\mathrm e}^{2 x}}{6 x^{2}}-\frac{5 \left(2 \,{\mathrm e}^{3}+1\right) \ln \left(5\right) {\mathrm e}^{x}}{6 x^{2}}$&$37$\\ default&$\frac{5 \,{\mathrm e}^{6} \ln \left(5\right)}{6 x^{2}}-\frac{5 \,{\mathrm e}^{x} \ln \left(5\right)}{6 x^{2}}+\frac{5 \ln \left(5\right) {\mathrm e}^{2 x}}{6 x^{2}}-\frac{5 \,{\mathrm e}^{x} \ln \left(5\right) {\mathrm e}^{3}}{3 x^{2}}$&$44$\\ \hline \end{longtable}"," ",0,"((-5/3*exp(3)*ln(5)-5/6*ln(5))*exp(x)+5/6*exp(3)^2*ln(5)+5/6*ln(5)*exp(x)^2)/x^2","A"
4726,1,36,31,0.143000," ","int(((x^2-4*x+3)*ln((x^3-6*x^2+9*x)/(4*x^2-8*x+4))^2+(6*x^2-24*x+18)*ln((x^3-6*x^2+9*x)/(4*x^2-8*x+4))+6*x^2-36*x+18)*exp(3/(ln((x^3-6*x^2+9*x)/(4*x^2-8*x+4))+3))/((x^2-4*x+3)*ln((x^3-6*x^2+9*x)/(4*x^2-8*x+4))^2+(6*x^2-24*x+18)*ln((x^3-6*x^2+9*x)/(4*x^2-8*x+4))+9*x^2-36*x+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{\frac{3}{\ln \left(\frac{x^{3}-6 x^{2}+9 x}{4 x^{2}-8 x +4}\right)+3}}$&$36$\\ norman&$\frac{\ln \left(\frac{x^{3}-6 x^{2}+9 x}{4 x^{2}-8 x +4}\right) x \,{\mathrm e}^{\frac{3}{\ln \left(\frac{x^{3}-6 x^{2}+9 x}{4 x^{2}-8 x +4}\right)+3}}+3 x \,{\mathrm e}^{\frac{3}{\ln \left(\frac{x^{3}-6 x^{2}+9 x}{4 x^{2}-8 x +4}\right)+3}}}{\ln \left(\frac{x^{3}-6 x^{2}+9 x}{4 x^{2}-8 x +4}\right)+3}$&$130$\\ \hline \end{longtable}"," ",0,"x*exp(3/(ln((x^3-6*x^2+9*x)/(4*x^2-8*x+4))+3))","A"
4727,1,43,24,0.113000," ","int(((2*x^2+3*x-2)*exp(exp(1))^3*ln(x)^3+(6*x^2+9*x-2)*exp(exp(1))^2*ln(x)^2+(4*exp(exp(1))^2+(6*x^2+9*x)*exp(exp(1)))*ln(x)+2*x^2+3*x)/(2*x^2*exp(exp(1))^3*ln(x)^3+6*x^2*exp(exp(1))^2*ln(x)^2+6*x^2*exp(exp(1))*ln(x)+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x \ln \left(x \right)+2 x^{2}+2}{2 x}-\frac{2 \,{\mathrm e}^{{\mathrm e}} \ln \left(x \right)+1}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(x \right)+1\right)^{2}}$&$43$\\ norman&$\frac{x^{2}+{\mathrm e}^{2 \,{\mathrm e}} \ln \left(x \right)^{2}+x^{2} {\mathrm e}^{2 \,{\mathrm e}} \ln \left(x \right)^{2}+\frac{3 \,{\mathrm e}^{2 \,{\mathrm e}} x \ln \left(x \right)^{3}}{2}+\frac{3 x \ln \left(x \right)}{2}+3 \,{\mathrm e}^{{\mathrm e}} x \ln \left(x \right)^{2}+2 x^{2} {\mathrm e}^{{\mathrm e}} \ln \left(x \right)}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(x \right)+1\right)^{2}}$&$79$\\ \hline \end{longtable}"," ",0,"1/2*(3*x*ln(x)+2*x^2+2)/x-(2*exp(exp(1))*ln(x)+1)/x/(exp(exp(1))*ln(x)+1)^2","A"
4728,1,20,21,0.061000," ","int((((-4*x^2-16*x)*exp(x^2)-2)*exp(exp(x^2))+2)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{-1} x +\left(-2 x -8\right) {\mathrm e}^{{\mathrm e}^{x^{2}}-1}$&$20$\\ default&${\mathrm e}^{-1} \left(2 x -2 \,{\mathrm e}^{{\mathrm e}^{x^{2}}} x -8 \,{\mathrm e}^{{\mathrm e}^{x^{2}}}\right)$&$25$\\ norman&$2 \,{\mathrm e}^{-1} x -8 \,{\mathrm e}^{-1} {\mathrm e}^{{\mathrm e}^{x^{2}}}-2 x \,{\mathrm e}^{-1} {\mathrm e}^{{\mathrm e}^{x^{2}}}$&$32$\\ \hline \end{longtable}"," ",0,"2*exp(-1)*x+(-2*x-8)*exp(exp(x^2)-1)","A"
4729,1,29,22,0.108000," ","int(((10*x^2+5)*exp(1/2*(2*x^2-3*x-1)/x)+60*x^3-2*x^2)/(10*x^2*exp(1/2*(2*x^2-3*x-1)/x)+30*x^4-2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(15 x^{2}+5 \,{\mathrm e}^{\frac{2 x^{2}-3 x -1}{2 x}}-x \right)$&$29$\\ risch&$x -\frac{1}{2 x}-\frac{2 x^{2}-3 x -1}{2 x}+\ln \left(3 x^{2}-\frac{x}{5}+{\mathrm e}^{\frac{2 x^{2}-3 x -1}{2 x}}\right)$&$49$\\ \hline \end{longtable}"," ",0,"ln(15*x^2+5*exp(1/2*(2*x^2-3*x-1)/x)-x)","A"
4730,1,33,31,0.067000," ","int(1/2*(x^2*exp(2*ln(2)-exp(2))-x^2*exp(1)-2*x^3-5*x^2+8)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{2}}{2}-\frac{x \,{\mathrm e}}{2}+\frac{x \,{\mathrm e}^{2 \ln \left(2\right)-{\mathrm e}^{2}}}{2}-\frac{5 x}{2}-\frac{4}{x}$&$33$\\ norman&$\frac{-4-\frac{x^{3}}{2}-\frac{{\mathrm e}^{-{\mathrm e}^{2}} \left({\mathrm e} \,{\mathrm e}^{{\mathrm e}^{2}}+5 \,{\mathrm e}^{{\mathrm e}^{2}}-4\right) x^{2}}{2}}{x}$&$35$\\ gosper&$-\frac{x^{2} {\mathrm e}-x^{2} {\mathrm e}^{2 \ln \left(2\right)-{\mathrm e}^{2}}+x^{3}+5 x^{2}+8}{2 x}$&$37$\\ risch&$-\frac{{\mathrm e}^{{\mathrm e}^{2}} {\mathrm e}^{-{\mathrm e}^{2}} x^{2}}{2}-\frac{{\mathrm e}^{{\mathrm e}^{2}+1} {\mathrm e}^{-{\mathrm e}^{2}} x}{2}-\frac{5 \,{\mathrm e}^{{\mathrm e}^{2}} {\mathrm e}^{-{\mathrm e}^{2}} x}{2}+2 \,{\mathrm e}^{-{\mathrm e}^{2}} x -\frac{4}{x}$&$52$\\ \hline \end{longtable}"," ",0,"-1/2*x^2-1/2*x*exp(1)+1/2*x*exp(2*ln(2)-exp(2))-5/2*x-4/x","A"
4731,1,317,20,0.133000," ","int(((2*x^2+37*x-1)*exp(x^2)-37*x^2)/((exp(x^2)*x-x^2)*ln((exp(37*x)*exp(x^2)-x*exp(37*x))/x)+exp(x^2)*x-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left({\mathrm e}^{37 x}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{37 x} \left(-{\mathrm e}^{x^{2}}+x \right)\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{37 x} \left(-{\mathrm e}^{x^{2}}+x \right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{37 x} \left(-{\mathrm e}^{x^{2}}+x \right)}{x}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{37 x} \left(-{\mathrm e}^{x^{2}}+x \right)}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{x^{2}}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{37 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{37 x} \left(-{\mathrm e}^{x^{2}}+x \right)\right)-\pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{x^{2}}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{37 x} \left(-{\mathrm e}^{x^{2}}+x \right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{37 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{37 x} \left(-{\mathrm e}^{x^{2}}+x \right)\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{37 x} \left(-{\mathrm e}^{x^{2}}+x \right)\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{37 x} \left(-{\mathrm e}^{x^{2}}+x \right)\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{37 x} \left(-{\mathrm e}^{x^{2}}+x \right)}{x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{37 x} \left(-{\mathrm e}^{x^{2}}+x \right)}{x}\right)^{3}-2 i \ln \left(x \right)+2 i \ln \left(-{\mathrm e}^{x^{2}}+x \right)-2 \pi +2 i\right)}{2}\right)$&$317$\\ \hline \end{longtable}"," ",0,"ln(ln(exp(37*x))-1/2*I*(Pi*csgn(I/x)*csgn(I*exp(37*x)*(-exp(x^2)+x))*csgn(I/x*exp(37*x)*(-exp(x^2)+x))-Pi*csgn(I/x)*csgn(I/x*exp(37*x)*(-exp(x^2)+x))^2+2*Pi*csgn(I/x*exp(37*x)*(-exp(x^2)+x))^2+Pi*csgn(I*(-exp(x^2)+x))*csgn(I*exp(37*x))*csgn(I*exp(37*x)*(-exp(x^2)+x))-Pi*csgn(I*(-exp(x^2)+x))*csgn(I*exp(37*x)*(-exp(x^2)+x))^2-Pi*csgn(I*exp(37*x))*csgn(I*exp(37*x)*(-exp(x^2)+x))^2+Pi*csgn(I*exp(37*x)*(-exp(x^2)+x))^3-Pi*csgn(I*exp(37*x)*(-exp(x^2)+x))*csgn(I/x*exp(37*x)*(-exp(x^2)+x))^2-Pi*csgn(I/x*exp(37*x)*(-exp(x^2)+x))^3-2*I*ln(x)+2*I*ln(-exp(x^2)+x)-2*Pi+2*I))","C"
4732,1,31,21,0.084000," ","int(1/4*((72*x^4*ln(2)^2-96)*ln(x)^2-24*x^4*ln(2)^2*ln(x)-12*x^4*ln(2)^2)/x^7/ln(2)^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{9 x^{4} \ln \left(2\right)^{2}-4}{\ln \left(2\right)^{2} x^{6}}+\frac{3}{x^{2} \ln \left(x \right)}$&$31$\\ norman&$\frac{3 x^{4} \ln \left(2\right)+\frac{4 \ln \left(x \right)}{\ln \left(2\right)}-9 x^{4} \ln \left(2\right) \ln \left(x \right)}{x^{6} \ln \left(2\right) \ln \left(x \right)}$&$38$\\ default&$\frac{-\frac{36 \ln \left(2\right)^{2}}{x^{2}}+24 \ln \left(2\right)^{2} \expIntegralEi \left(1, 2 \ln \left(x \right)\right)-12 \ln \left(2\right)^{2} \left(-\frac{1}{x^{2} \ln \left(x \right)}+2 \expIntegralEi \left(1, 2 \ln \left(x \right)\right)\right)+\frac{16}{x^{6}}}{4 \ln \left(2\right)^{2}}$&$58$\\ \hline \end{longtable}"," ",0,"-1/ln(2)^2*(9*x^4*ln(2)^2-4)/x^6+3/x^2/ln(x)","A"
4733,1,21,29,0.056000," ","int(((16*x+8)*ln(x)+(-16*x^3-16*x^2+16*x+8)*exp(x^2)+8*x)/((x^2+x)*ln(x)+(x^2+x)*exp(x^2)+x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$8 \ln \left(x^{2}+x \right)-8 \ln \left(\ln \left(x \right)+{\mathrm e}^{x^{2}}+1\right)$&$21$\\ norman&$8 \ln \left(x \right)+8 \ln \left(x +1\right)-8 \ln \left(\ln \left(x \right)+{\mathrm e}^{x^{2}}+1\right)$&$23$\\ \hline \end{longtable}"," ",0,"8*ln(x^2+x)-8*ln(ln(x)+exp(x^2)+1)","A"
4734,1,33,27,0.084000," ","int(((-2*x^6+24*x^5-105*x^4+204*x^3-180*x^2+96*x-64)*exp(4)-10*x^4+80*x^2)/(2*x^6-24*x^5+104*x^4-192*x^3+128*x^2)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{-4} \left(-2 x \,{\mathrm e}^{4}-\frac{10}{x -2}+\frac{20}{x -4}+\frac{{\mathrm e}^{4}}{x}\right)}{2}$&$33$\\ norman&$\frac{4-51 x -x^{4}-\frac{\left(-57 \,{\mathrm e}^{4}-10\right) {\mathrm e}^{-4} x^{2}}{2}}{x \left(x^{2}-6 x +8\right)}$&$40$\\ risch&$-x +\frac{{\mathrm e}^{-4} \left(\left(\frac{{\mathrm e}^{4}}{2}+5\right) x^{2}-3 x \,{\mathrm e}^{4}+4 \,{\mathrm e}^{4}\right)}{x \left(x^{2}-6 x +8\right)}$&$41$\\ gosper&$-\frac{\left(2 x^{4} {\mathrm e}^{4}-57 x^{2} {\mathrm e}^{4}+102 x \,{\mathrm e}^{4}-10 x^{2}-8 \,{\mathrm e}^{4}\right) {\mathrm e}^{-4}}{2 x \left(x^{2}-6 x +8\right)}$&$49$\\ \hline \end{longtable}"," ",0,"1/2/exp(4)*(-2*x*exp(4)-10/(x-2)+20/(x-4)+exp(4)/x)","A"
4735,0,0,28,0.198000," ","int((((x^5*exp(x)-x^5)*ln(3*exp(9/x^4))+(-exp(x)*x^4+x^4)*ln(x)-2*x^5*exp(x)+2*x^5)*ln((x*ln(3*exp(9/x^4))-2*x-ln(x))/x)+(-exp(x)*x^3+x^4)*ln(x)+(x^3+36)*exp(x)-x^4-36*x)/((x^5*exp(x)^2-2*x^6*exp(x)+x^7)*ln(3*exp(9/x^4))+(-exp(x)^2*x^4+2*x^5*exp(x)-x^6)*ln(x)-2*x^5*exp(x)^2+4*x^6*exp(x)-2*x^7),x)","\[\int \frac{\left(\left(x^{5} {\mathrm e}^{x}-x^{5}\right) \ln \left(3 \,{\mathrm e}^{\frac{9}{x^{4}}}\right)+\left(-{\mathrm e}^{x} x^{4}+x^{4}\right) \ln \left(x \right)-2 x^{5} {\mathrm e}^{x}+2 x^{5}\right) \ln \left(\frac{x \ln \left(3 \,{\mathrm e}^{\frac{9}{x^{4}}}\right)-2 x -\ln \left(x \right)}{x}\right)+\left(-{\mathrm e}^{x} x^{3}+x^{4}\right) \ln \left(x \right)+\left(x^{3}+36\right) {\mathrm e}^{x}-x^{4}-36 x}{\left(x^{5} {\mathrm e}^{2 x}-2 x^{6} {\mathrm e}^{x}+x^{7}\right) \ln \left(3 \,{\mathrm e}^{\frac{9}{x^{4}}}\right)+\left(-{\mathrm e}^{2 x} x^{4}+2 x^{5} {\mathrm e}^{x}-x^{6}\right) \ln \left(x \right)-2 x^{5} {\mathrm e}^{2 x}+4 x^{6} {\mathrm e}^{x}-2 x^{7}}\, dx\]"," ",0,"int((((x^5*exp(x)-x^5)*ln(3*exp(9/x^4))+(-exp(x)*x^4+x^4)*ln(x)-2*x^5*exp(x)+2*x^5)*ln((x*ln(3*exp(9/x^4))-2*x-ln(x))/x)+(-exp(x)*x^3+x^4)*ln(x)+(x^3+36)*exp(x)-x^4-36*x)/((x^5*exp(x)^2-2*x^6*exp(x)+x^7)*ln(3*exp(9/x^4))+(-exp(x)^2*x^4+2*x^5*exp(x)-x^6)*ln(x)-2*x^5*exp(x)^2+4*x^6*exp(x)-2*x^7),x)","F"
4736,1,107,18,0.172000," ","int(((-4*x^5-60*x^4-360*x^3-1080*x^2-1620*x-972)*ln(3)^4+(60*x^4+684*x^3+2916*x^2+5508*x+3888)*ln(3)^3+(-324*x^3-2592*x^2-6804*x-5832)*ln(3)^2+(756*x^2+3564*x+3888)*ln(3)-648*x-972)/(x^10+15*x^9+90*x^8+270*x^7+405*x^6+243*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{4} \ln \left(3\right)^{4}+\left(12 \ln \left(3\right)^{4}-12 \ln \left(3\right)^{3}\right) x^{3}+\left(54 \ln \left(3\right)^{4}-108 \ln \left(3\right)^{3}+54 \ln \left(3\right)^{2}\right) x^{2}+\left(108 \ln \left(3\right)^{4}-324 \ln \left(3\right)^{3}+324 \ln \left(3\right)^{2}-108 \ln \left(3\right)\right) x +81+81 \ln \left(3\right)^{4}-324 \ln \left(3\right)^{3}+486 \ln \left(3\right)^{2}-324 \ln \left(3\right)}{x^{4} \left(3+x \right)^{4}}$&$107$\\ risch&$\frac{x^{4} \ln \left(3\right)^{4}+\left(12 \ln \left(3\right)^{4}-12 \ln \left(3\right)^{3}\right) x^{3}+\left(54 \ln \left(3\right)^{4}-108 \ln \left(3\right)^{3}+54 \ln \left(3\right)^{2}\right) x^{2}+\left(108 \ln \left(3\right)^{4}-324 \ln \left(3\right)^{3}+324 \ln \left(3\right)^{2}-108 \ln \left(3\right)\right) x +81+81 \ln \left(3\right)^{4}-324 \ln \left(3\right)^{3}+486 \ln \left(3\right)^{2}-324 \ln \left(3\right)}{x^{4} \left(x^{4}+12 x^{3}+54 x^{2}+108 x +81\right)}$&$122$\\ gosper&$\frac{x^{4} \ln \left(3\right)^{4}+12 \ln \left(3\right)^{4} x^{3}+54 x^{2} \ln \left(3\right)^{4}-12 x^{3} \ln \left(3\right)^{3}+108 x \ln \left(3\right)^{4}-108 \ln \left(3\right)^{3} x^{2}+81 \ln \left(3\right)^{4}-324 x \ln \left(3\right)^{3}+54 x^{2} \ln \left(3\right)^{2}-324 \ln \left(3\right)^{3}+324 x \ln \left(3\right)^{2}+486 \ln \left(3\right)^{2}-108 x \ln \left(3\right)-324 \ln \left(3\right)+81}{x^{4} \left(x^{4}+12 x^{3}+54 x^{2}+108 x +81\right)}$&$128$\\ default&$-\frac{4 \left(\ln \left(3\right)-1\right)}{3 \left(3+x \right)^{3}}+\frac{1}{\left(3+x \right)^{4}}-\frac{2 \left(-\frac{5}{9}+\frac{8 \ln \left(3\right)}{9}-\frac{\ln \left(3\right)^{2}}{3}\right)}{\left(3+x \right)^{2}}-\frac{4 \left(-\frac{5}{27}+\frac{10 \ln \left(3\right)}{27}-\frac{2 \ln \left(3\right)^{2}}{9}+\frac{\ln \left(3\right)^{3}}{27}\right)}{3+x}-\frac{4 \left(-\ln \left(3\right)^{3}+3 \ln \left(3\right)^{2}-3 \ln \left(3\right)+1\right)}{3 x^{3}}-\frac{-\ln \left(3\right)^{4}+4 \ln \left(3\right)^{3}-6 \ln \left(3\right)^{2}+4 \ln \left(3\right)-1}{x^{4}}-\frac{4 \left(-\frac{\ln \left(3\right)^{3}}{27}+\frac{2 \ln \left(3\right)^{2}}{9}-\frac{10 \ln \left(3\right)}{27}+\frac{5}{27}\right)}{x}-\frac{2 \left(\frac{2 \ln \left(3\right)^{3}}{9}-\ln \left(3\right)^{2}+\frac{4 \ln \left(3\right)}{3}-\frac{5}{9}\right)}{x^{2}}$&$160$\\ \hline \end{longtable}"," ",0,"(x^4*ln(3)^4+(12*ln(3)^4-12*ln(3)^3)*x^3+(54*ln(3)^4-108*ln(3)^3+54*ln(3)^2)*x^2+(108*ln(3)^4-324*ln(3)^3+324*ln(3)^2-108*ln(3))*x+81+81*ln(3)^4-324*ln(3)^3+486*ln(3)^2-324*ln(3))/x^4/(3+x)^4","B"
4737,1,25,23,0.079000," ","int((-x^4*ln(3)^2+(800*x^2+320*x)*ln(3)-153600)/(x^4*ln(3)^2-800*x^2*ln(3)+153600),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\ln \left(x^{2} \ln \left(3\right)-320\right)+\ln \left(x^{2} \ln \left(3\right)-480\right)$&$25$\\ norman&$-x -\ln \left(x^{2} \ln \left(3\right)-320\right)+\ln \left(x^{2} \ln \left(3\right)-480\right)$&$25$\\ risch&$-x +\ln \left(-x^{2} \ln \left(3\right)+480\right)-\ln \left(x^{2} \ln \left(3\right)-320\right)$&$26$\\ \hline \end{longtable}"," ",0,"-x-ln(x^2*ln(3)-320)+ln(x^2*ln(3)-480)","A"
4738,1,41,26,0.049000," ","int(((ln(x)-5*x-3)*ln(-ln(x)+5*x+3)^2+((12*x-5)*ln(x)-60*x^2-11*x+15)*ln(-ln(x)+5*x+3)+36*x^2*ln(x)-180*x^3-108*x^2-25*x+5)/((4*x*ln(x)-20*x^2-12*x)*ln(-ln(x)+5*x+3)^2+((48*x^2-20*x)*ln(x)-240*x^3-44*x^2+60*x)*ln(-ln(x)+5*x+3)+(144*x^3-120*x^2)*ln(x)-720*x^4+168*x^3+360*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{4}+\frac{\ln \left(-5+6 x +\ln \left(-\ln \left(x \right)+5 x +3\right)\right)}{4}-\frac{\ln \left(6 x +\ln \left(-\ln \left(x \right)+5 x +3\right)\right)}{4}$&$41$\\ \hline \end{longtable}"," ",0,"1/4*ln(x)+1/4*ln(-5+6*x+ln(-ln(x)+5*x+3))-1/4*ln(6*x+ln(-ln(x)+5*x+3))","A"
4739,1,30,25,0.052000," ","int((((-16*x+16)*exp(2)+16*x^2-16*x)*exp(x)*ln(exp(2)-x)+((16*x^2-32)*exp(2)-16*x^3+16*x)*exp(x)-16*x^2*exp(2)+16*x^3-16*x^2)/((exp(2)-x)*exp(x)^2+(2*exp(2)*x-2*x^2)*exp(x)+x^2*exp(2)-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x \ln \left({\mathrm e}^{2}-x \right)}{{\mathrm e}^{x}+x}-\frac{16 x \left(2+x \right)}{{\mathrm e}^{x}+x}$&$30$\\ \hline \end{longtable}"," ",0,"16*x/(exp(x)+x)*ln(exp(2)-x)-16*x*(2+x)/(exp(x)+x)","A"
4740,1,45,28,0.434000," ","int((-50*x*(ln(3)+I*Pi)*ln(x)+(25*x^2+50*x)*(ln(3)+I*Pi)*exp(x)+(75*x^2-25*x)*(ln(3)+I*Pi)+250*x)*exp((-25*x^2*(ln(3)+I*Pi)*ln(x)+25*x^2*(ln(3)+I*Pi)*exp(x)+25*x^3*(ln(3)+I*Pi)+125*x^2)/ln(2))/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{25 x^{2} \left(-i \pi  \ln \left(x \right)+i \pi  \,{\mathrm e}^{x}+i x \pi -\ln \left(3\right) \ln \left(x \right)+\ln \left(3\right) {\mathrm e}^{x}+x \ln \left(3\right)+5\right)}{\ln \left(2\right)}}$&$45$\\ \hline \end{longtable}"," ",0,"exp(25*x^2*(-I*Pi*ln(x)+I*Pi*exp(x)+I*Pi*x-ln(3)*ln(x)+ln(3)*exp(x)+x*ln(3)+5)/ln(2))","A"
4741,1,61,25,0.898000," ","int((((-x^2-2*x-1)*exp(x)*ln(1/5*x+1/5)+(x^2+x+1)*exp(x)-2*x^2-2*x)*ln(1/3*x^2)*ln(ln(1/3*x^2))+(-2*x-2)*exp(x)*ln(1/5*x+1/5)+(2*x+2)*exp(x)-2*x^2-2*x)/(x+1)/ln(1/3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-{\mathrm e}^{x} \ln \left(\frac{x}{5}+\frac{1}{5}\right) x -x^{2}+{\mathrm e}^{x} x \right) \ln \left(-\ln \left(3\right)+2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)$&$61$\\ \hline \end{longtable}"," ",0,"(-exp(x)*ln(1/5*x+1/5)*x-x^2+exp(x)*x)*ln(-ln(3)+2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)","C"
4742,1,15,12,0.030000," ","int(-80*ln(x^2)/(4*x*ln(x^2)^4+4*x*ln(x^2)^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{10}{2 \ln \left(x^{2}\right)^{2}+1}$&$15$\\ norman&$\frac{10}{2 \ln \left(x^{2}\right)^{2}+1}$&$15$\\ risch&$\frac{10}{2 \ln \left(x^{2}\right)^{2}+1}$&$15$\\ \hline \end{longtable}"," ",0,"10/(2*ln(x^2)^2+1)","A"
4743,1,396,28,0.165000," ","int(((-x-4)*exp((-x^2+x+4)/x)-x^3)/(x^2*exp((-x^2+x+4)/x)-x^3)/ln((-exp((-x^2+x+4)/x)+x)*exp(x)*exp(exp(3))/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left({\mathrm e}^{x}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(-{\mathrm e}^{-\frac{x^{2}-x -4}{x}}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\frac{x^{2}-x -4}{x}}+x \right) {\mathrm e}^{x}}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\frac{x^{2}-x -4}{x}}+x \right) {\mathrm e}^{x}}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\frac{x^{2}-x -4}{x}}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(-{\mathrm e}^{-\frac{x^{2}-x -4}{x}}+x \right)\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(-{\mathrm e}^{-\frac{x^{2}-x -4}{x}}+x \right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{-\frac{x^{2}-x -4}{x}}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(-{\mathrm e}^{-\frac{x^{2}-x -4}{x}}+x \right)\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{x} \left(-{\mathrm e}^{-\frac{x^{2}-x -4}{x}}+x \right)\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x} \left(-{\mathrm e}^{-\frac{x^{2}-x -4}{x}}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\frac{x^{2}-x -4}{x}}+x \right) {\mathrm e}^{x}}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\frac{x^{2}-x -4}{x}}+x \right) {\mathrm e}^{x}}{x}\right)^{3}+2 i {\mathrm e}^{3}-2 i \ln \left(x \right)+2 i \ln \left(-{\mathrm e}^{-\frac{x^{2}-x -4}{x}}+x \right)\right)}{2}\right)$&$396$\\ \hline \end{longtable}"," ",0,"ln(ln(exp(x))-1/2*I*(Pi*csgn(I/x)*csgn(I*exp(x)*(-exp(-(x^2-x-4)/x)+x))*csgn(I/x*(-exp(-(x^2-x-4)/x)+x)*exp(x))-Pi*csgn(I/x)*csgn(I/x*(-exp(-(x^2-x-4)/x)+x)*exp(x))^2+Pi*csgn(I*exp(x))*csgn(I*(-exp(-(x^2-x-4)/x)+x))*csgn(I*exp(x)*(-exp(-(x^2-x-4)/x)+x))-Pi*csgn(I*exp(x))*csgn(I*exp(x)*(-exp(-(x^2-x-4)/x)+x))^2-Pi*csgn(I*(-exp(-(x^2-x-4)/x)+x))*csgn(I*exp(x)*(-exp(-(x^2-x-4)/x)+x))^2+Pi*csgn(I*exp(x)*(-exp(-(x^2-x-4)/x)+x))^3-Pi*csgn(I*exp(x)*(-exp(-(x^2-x-4)/x)+x))*csgn(I/x*(-exp(-(x^2-x-4)/x)+x)*exp(x))^2+Pi*csgn(I/x*(-exp(-(x^2-x-4)/x)+x)*exp(x))^3+2*I*exp(3)-2*I*ln(x)+2*I*ln(-exp(-(x^2-x-4)/x)+x)))","C"
4744,1,61,24,0.068000," ","int(((-4*exp(x)-12*x+8)*exp(ln(5)-2)^2*ln(exp(x)+x)+((6*x+109)*exp(x)+18*x^2+297*x-200)*exp(ln(5)-2)^2+(-6*exp(x)-18*x+12)*exp(ln(5)-2))/((4*exp(x)+4*x)*exp(ln(5)-2)^2*ln(exp(x)+x)^2+(((-12*x-200)*exp(x)-12*x^2-200*x)*exp(ln(5)-2)^2+(12*exp(x)+12*x)*exp(ln(5)-2))*ln(exp(x)+x)+((9*x^2+309*x+2500)*exp(x)+9*x^3+309*x^2+2500*x)*exp(ln(5)-2)^2+((-18*x-300)*exp(x)-18*x^2-300*x)*exp(ln(5)-2)+9*exp(x)+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left({\mathrm e}^{x}+x \right)^{2}-\frac{{\mathrm e}^{2} \left(15 \,{\mathrm e}^{-2} x +250 \,{\mathrm e}^{-2}-3\right) \ln \left({\mathrm e}^{x}+x \right)}{5}+\frac{\left(225 \,{\mathrm e}^{-4} x^{2}+7725 \,{\mathrm e}^{-4} x -90 \,{\mathrm e}^{-2} x +62500 \,{\mathrm e}^{-4}-1500 \,{\mathrm e}^{-2}+9\right) {\mathrm e}^{4}}{100}\right)$&$61$\\ \hline \end{longtable}"," ",0,"ln(ln(exp(x)+x)^2-1/5*exp(2)*(15*exp(-2)*x+250*exp(-2)-3)*ln(exp(x)+x)+1/100*(225*exp(-4)*x^2+7725*exp(-4)*x-90*exp(-2)*x+62500*exp(-4)-1500*exp(-2)+9)*exp(4))","B"
4745,1,25,20,0.052000," ","int((20*x^2+5)*exp(2*x^2)+(-10*x^2-5)*exp(x^2+4)+5*ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$5 x \,{\mathrm e}^{2 x^{2}}+5 x \ln \left(3\right)-5 x \,{\mathrm e}^{4} {\mathrm e}^{x^{2}}$&$25$\\ risch&$5 x \,{\mathrm e}^{2 x^{2}}-5 x \,{\mathrm e}^{x^{2}+4}+5 x \ln \left(3\right)$&$25$\\ default&$-\frac{5 \,{\mathrm e}^{4} \sqrt{\pi}\, \erfi \left(x \right)}{2}-10 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{x^{2}} x}{2}-\frac{\sqrt{\pi}\, \erfi \left(x \right)}{4}\right)+5 x \,{\mathrm e}^{2 x^{2}}+5 x \ln \left(3\right)$&$44$\\ \hline \end{longtable}"," ",0,"5*x*exp(x^2)^2+5*x*ln(3)-5*x*exp(4)*exp(x^2)","A"
4746,1,24,23,0.062000," ","int(((-2*x-4)*ln(x)*ln(ln(x))^3+(6*x^2+12*x)*ln(x)*ln(ln(x))^2+(-6*x^3-12*x^2-65536)*ln(x)*ln(ln(x))+(2*x^4+4*x^3-65536*x)*ln(x)+131072)/(exp(1/3)*ln(x)*ln(ln(x))^3-3*x*exp(1/3)*ln(x)*ln(ln(x))^2+3*x^2*exp(1/3)*ln(x)*ln(ln(x))-x^3*exp(1/3)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\left(4+x \right) x \,{\mathrm e}^{-\frac{1}{3}}-\frac{65536 x \,{\mathrm e}^{-\frac{1}{3}}}{\left(x -\ln \left(\ln \left(x \right)\right)\right)^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"-(4+x)*x*exp(-1/3)-65536*x*exp(-1/3)/(x-ln(ln(x)))^2","A"
4747,1,16,15,0.168000," ","int(1/10*(-3*ln(1/27*exp(x)/x^2)-3*x+6)/x^2/ln(1/27*exp(x)/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3}{10 x \ln \left(\frac{{\mathrm e}^{x}}{27 x^{2}}\right)}$&$16$\\ norman&$\frac{3}{10 x \ln \left(\frac{{\mathrm e}^{x}}{27 x^{2}}\right)}$&$16$\\ risch&$-\frac{3 i}{5 x \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x^{2}}\right)+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x^{2}}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x^{2}}\right)^{3}+6 i \ln \left(3\right)+4 i \ln \left(x \right)-2 i \ln \left({\mathrm e}^{x}\right)\right)}$&$148$\\ \hline \end{longtable}"," ",0,"3/10/x/ln(1/27*exp(x)/x^2)","A"
4748,1,15,13,0.030000," ","int(16*ln(2)^2+9/2*x-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(64 \ln \left(2\right)^{2}+9 x -12\right)}{4}$&$15$\\ default&$16 x \ln \left(2\right)^{2}+\frac{9 x^{2}}{4}-3 x$&$17$\\ norman&$\left(-3+16 \ln \left(2\right)^{2}\right) x +\frac{9 x^{2}}{4}$&$17$\\ risch&$16 x \ln \left(2\right)^{2}+\frac{9 x^{2}}{4}-3 x$&$17$\\ \hline \end{longtable}"," ",0,"1/4*x*(64*ln(2)^2+9*x-12)","A"
4749,1,28,25,0.071000," ","int(((192*x^12+56*x^7+2*x^2-x)*exp(16*x^12+8*x^7+x^2-x)-x+1)*exp(exp(16*x^12+8*x^7+x^2-x)-x)+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{x \left(16 x^{11}+8 x^{6}+x -1\right)}-x} x +x^{2}$&$28$\\ \hline \end{longtable}"," ",0,"exp(exp(x*(16*x^11+8*x^6+x-1))-x)*x+x^2","A"
4750,1,676,23,0.202000," ","int(((-ln(2)*ln(x)+x*exp(679)*ln(2))*ln((-ln(x)+x*exp(679))/x)^2+(2*ln(2)*ln(x)-2*ln(2))*ln((-ln(x)+x*exp(679))/x)+2*x*ln(2)*ln(x)-2*x^2*exp(679)*ln(2))/(ln(x)-x*exp(679)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(2\right) x \ln \left(-\ln \left(x \right)+x \,{\mathrm e}^{679}\right)^{2}+\left(i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)-i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)^{2}+i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)^{2}-i \pi  \ln \left(2\right) x \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)^{3}+2 x \ln \left(2\right) \ln \left(x \right)\right) \ln \left(-\ln \left(x \right)+x \,{\mathrm e}^{679}\right)-\ln \left(2\right) x \ln \left(x \right)^{2}+i \pi  \ln \left(2\right) x \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)^{3} \ln \left(x \right)-i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)^{2} \ln \left(x \right)-i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right) \ln \left(x \right)+i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)^{2} \ln \left(x \right)+\frac{\pi^{2} \ln \left(2\right) x \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)^{2}}{4}-\frac{\pi^{2} \ln \left(2\right) x \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)^{3}}{2}+\frac{\pi^{2} \ln \left(2\right) x \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)^{4}}{4}+\frac{\pi^{2} \ln \left(2\right) x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)^{3}}{2}-\pi^{2} \ln \left(2\right) x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)^{4}+\frac{\pi^{2} \ln \left(2\right) x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)^{5}}{2}+\frac{\pi^{2} \ln \left(2\right) x \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)^{4}}{4}-\frac{\pi^{2} \ln \left(2\right) x \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)^{5}}{2}+\frac{\pi^{2} \ln \left(2\right) x \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \,{\mathrm e}^{679}\right)}{x}\right)^{6}}{4}+x^{2} \ln \left(2\right)$&$676$\\ \hline \end{longtable}"," ",0,"-ln(2)*x*ln(-ln(x)+x*exp(679))^2+(I*Pi*ln(2)*x*csgn(I/x)*csgn(I*(ln(x)-x*exp(679)))*csgn(I*(ln(x)-x*exp(679))/x)-I*Pi*ln(2)*x*csgn(I/x)*csgn(I*(ln(x)-x*exp(679))/x)^2+I*Pi*ln(2)*x*csgn(I*(ln(x)-x*exp(679)))*csgn(I*(ln(x)-x*exp(679))/x)^2-I*Pi*ln(2)*x*csgn(I*(ln(x)-x*exp(679))/x)^3+2*x*ln(2)*ln(x))*ln(-ln(x)+x*exp(679))-ln(2)*x*ln(x)^2+I*Pi*ln(2)*x*csgn(I*(ln(x)-x*exp(679))/x)^3*ln(x)-I*Pi*ln(2)*x*csgn(I*(ln(x)-x*exp(679)))*csgn(I*(ln(x)-x*exp(679))/x)^2*ln(x)-I*Pi*ln(2)*x*csgn(I/x)*csgn(I*(ln(x)-x*exp(679)))*csgn(I*(ln(x)-x*exp(679))/x)*ln(x)+I*Pi*ln(2)*x*csgn(I/x)*csgn(I*(ln(x)-x*exp(679))/x)^2*ln(x)+1/4*Pi^2*ln(2)*x*csgn(I/x)^2*csgn(I*(ln(x)-x*exp(679)))^2*csgn(I*(ln(x)-x*exp(679))/x)^2-1/2*Pi^2*ln(2)*x*csgn(I/x)^2*csgn(I*(ln(x)-x*exp(679)))*csgn(I*(ln(x)-x*exp(679))/x)^3+1/4*Pi^2*ln(2)*x*csgn(I/x)^2*csgn(I*(ln(x)-x*exp(679))/x)^4+1/2*Pi^2*ln(2)*x*csgn(I/x)*csgn(I*(ln(x)-x*exp(679)))^2*csgn(I*(ln(x)-x*exp(679))/x)^3-Pi^2*ln(2)*x*csgn(I/x)*csgn(I*(ln(x)-x*exp(679)))*csgn(I*(ln(x)-x*exp(679))/x)^4+1/2*Pi^2*ln(2)*x*csgn(I/x)*csgn(I*(ln(x)-x*exp(679))/x)^5+1/4*Pi^2*ln(2)*x*csgn(I*(ln(x)-x*exp(679)))^2*csgn(I*(ln(x)-x*exp(679))/x)^4-1/2*Pi^2*ln(2)*x*csgn(I*(ln(x)-x*exp(679)))*csgn(I*(ln(x)-x*exp(679))/x)^5+1/4*Pi^2*ln(2)*x*csgn(I*(ln(x)-x*exp(679))/x)^6+x^2*ln(2)","C"
4751,1,5,6,0.010000," ","int(2/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x \right)$&$5$\\ norman&$2 \ln \left(x \right)$&$5$\\ risch&$2 \ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"2*ln(x)","A"
4752,1,25,24,0.093000," ","int((((8*x^8+8*x^7)*ln(x)+(-x^9-9*x^8-8*x^7)*exp(x)+(8*x^8+8*x^7)*exp(1)-9*x^9-8*x^8+x^7)*ln(2*x+2)-2*x^8*ln(x)+2*x^8*exp(x)-2*x^8*exp(1)+2*x^9)/(x+1)/ln(2*x+2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(\ln \left(x \right)+{\mathrm e}-{\mathrm e}^{x}-x \right) x^{8}}{\ln \left(2 x +2\right)^{2}}$&$25$\\ \hline \end{longtable}"," ",0,"(ln(x)+exp(1)-exp(x)-x)/ln(2*x+2)^2*x^8","A"
4753,1,45,26,0.383000," ","int(((24*x*ln(2*ln(2))-32*x^2-240*x-162)*exp((-3*ln(2*ln(2))+12)/(4*x+9))^2+(72*x^2*ln(2*ln(2))-96*x^3-720*x^2-486*x)*exp((-3*ln(2*ln(2))+12)/(4*x+9)))/(16*x^5+72*x^4+81*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{6 \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)-4\right)}{4 x +9}}}{x^{2}}+\frac{6 \,{\mathrm e}^{-\frac{3 \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)-4\right)}{4 x +9}}}{x}$&$45$\\ norman&$\frac{9 \,{\mathrm e}^{\frac{-6 \ln \left(2 \ln \left(2\right)\right)+24}{4 x +9}}+54 x \,{\mathrm e}^{\frac{-3 \ln \left(2 \ln \left(2\right)\right)+12}{4 x +9}}+4 x \,{\mathrm e}^{\frac{-6 \ln \left(2 \ln \left(2\right)\right)+24}{4 x +9}}+24 x^{2} {\mathrm e}^{\frac{-3 \ln \left(2 \ln \left(2\right)\right)+12}{4 x +9}}}{x^{2} \left(4 x +9\right)}$&$102$\\ derivativedivides&$\text{Expression too large to display}$&$8703$\\ default&$\text{Expression too large to display}$&$8703$\\ \hline \end{longtable}"," ",0,"1/x^2*exp(-6*(ln(2)+ln(ln(2))-4)/(4*x+9))+6/x*exp(-3*(ln(2)+ln(ln(2))-4)/(4*x+9))","A"
4754,1,135,24,0.177000," ","int((((4*x^2-2)*exp(x)+4*x^3+8*x^2-2*x-4)*exp(x^2-3)*ln(exp(x)/(exp(x)+2+x))+(2*x^2+2*x)*exp(x^2-3))*exp(exp(x^2-3)*ln(exp(x)/(exp(x)+2+x))/x)^2/(exp(x)*x^2+x^3+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{{\mathrm e}^{x^{2}-3} \left(i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{x}+2+x}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{x}+2+x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{x}+2+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+2+x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{x}+2+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+2+x}\right)-2 \ln \left({\mathrm e}^{x}\right)+2 \ln \left({\mathrm e}^{x}+2+x \right)\right)}{x}}$&$135$\\ \hline \end{longtable}"," ",0,"exp(-exp(x^2-3)*(I*Pi*csgn(I*exp(x)/(exp(x)+2+x))^3-I*Pi*csgn(I*exp(x)/(exp(x)+2+x))^2*csgn(I*exp(x))-I*Pi*csgn(I*exp(x)/(exp(x)+2+x))^2*csgn(I/(exp(x)+2+x))+I*Pi*csgn(I*exp(x)/(exp(x)+2+x))*csgn(I*exp(x))*csgn(I/(exp(x)+2+x))-2*ln(exp(x))+2*ln(exp(x)+2+x))/x)","C"
4755,1,20,18,0.134000," ","int(1/5*(4*x^3*ln(75/x)^2-9*x^2*ln(75/x)-3*x^2)/ln(75/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{x^{4}}{5}-\frac{3 x^{3}}{5 \ln \left(\frac{75}{x}\right)}$&$20$\\ default&$\frac{x^{4}}{5}-\frac{3 x^{3}}{5 \ln \left(\frac{75}{x}\right)}$&$20$\\ risch&$\frac{x^{4}}{5}-\frac{3 x^{3}}{5 \ln \left(\frac{75}{x}\right)}$&$20$\\ norman&$\frac{-\frac{3 x^{3}}{5}+\frac{x^{4} \ln \left(\frac{75}{x}\right)}{5}}{\ln \left(\frac{75}{x}\right)}$&$27$\\ \hline \end{longtable}"," ",0,"1/5*x^4-3/5*x^3/ln(75/x)","A"
4756,1,19,17,0.102000," ","int(((3*x+12)*exp(1)+2*x^2+21*x+36)/(3*x*exp(1)+2*x^2+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +2 \ln \left(3 \,{\mathrm e}+2 x +9\right)+4 \ln \left(x \right)$&$19$\\ norman&$x +2 \ln \left(3 \,{\mathrm e}+2 x +9\right)+4 \ln \left(x \right)$&$19$\\ risch&$x +2 \ln \left(3 \,{\mathrm e}+2 x +9\right)+4 \ln \left(x \right)$&$19$\\ meijerg&$\frac{\left(3 \,{\mathrm e}+21\right) \left(\frac{3 \,{\mathrm e}}{2}+\frac{9}{2}\right) \ln \left(1+\frac{2 x}{3 \left(3+{\mathrm e}\right)}\right)}{3 \,{\mathrm e}+9}+\frac{2 \left(\frac{3 \,{\mathrm e}}{2}+\frac{9}{2}\right)^{2} \left(\frac{2 x}{3 \left(3+{\mathrm e}\right)}-\ln \left(1+\frac{2 x}{3 \left(3+{\mathrm e}\right)}\right)\right)}{3 \,{\mathrm e}+9}+\frac{8 \,{\mathrm e} \left(\frac{3 \,{\mathrm e}}{2}+\frac{9}{2}\right) \left(-\ln \left(1+\frac{2 x}{3 \left(3+{\mathrm e}\right)}\right)+\ln \left(x \right)+\ln \left(2\right)-\ln \left(3\right)-\ln \left(3+{\mathrm e}\right)\right)}{\left(3 \,{\mathrm e}+9\right) \left(3+{\mathrm e}\right)}+\frac{24 \left(\frac{3 \,{\mathrm e}}{2}+\frac{9}{2}\right) \left(-\ln \left(1+\frac{2 x}{3 \left(3+{\mathrm e}\right)}\right)+\ln \left(x \right)+\ln \left(2\right)-\ln \left(3\right)-\ln \left(3+{\mathrm e}\right)\right)}{\left(3 \,{\mathrm e}+9\right) \left(3+{\mathrm e}\right)}$&$183$\\ \hline \end{longtable}"," ",0,"x+2*ln(3*exp(1)+2*x+9)+4*ln(x)","A"
4757,1,12,20,0.022000," ","int(exp(exp(5))+2*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\left({\mathrm e}^{{\mathrm e}^{5}}-1\right) x$&$12$\\ gosper&$x \,{\mathrm e}^{{\mathrm e}^{5}}+x^{2}-x$&$13$\\ default&$x \,{\mathrm e}^{{\mathrm e}^{5}}+x^{2}-x$&$13$\\ risch&$x \,{\mathrm e}^{{\mathrm e}^{5}}+x^{2}-x$&$13$\\ \hline \end{longtable}"," ",0,"x^2+(exp(exp(5))-1)*x","A"
4758,0,0,28,0.159000," ","int((((x^4-24*x^3+162*x^2-2187)*ln(5/(3+x))+x^5-26*x^4+211*x^3-330*x^2-2214*x+4374)*ln(((-x^2+18*x-81)*ln(5/(3+x))-x^3+20*x^2-118*x+162)/(x^2-18*x+81))+x^5-25*x^4+188*x^3-255*x^2-1485*x)/((x^4-24*x^3+162*x^2-2187)*ln(5/(3+x))+x^5-26*x^4+211*x^3-330*x^2-2214*x+4374),x)","\[\int \frac{\left(\left(x^{4}-24 x^{3}+162 x^{2}-2187\right) \ln \left(\frac{5}{3+x}\right)+x^{5}-26 x^{4}+211 x^{3}-330 x^{2}-2214 x +4374\right) \ln \left(\frac{\left(-x^{2}+18 x -81\right) \ln \left(\frac{5}{3+x}\right)-x^{3}+20 x^{2}-118 x +162}{x^{2}-18 x +81}\right)+x^{5}-25 x^{4}+188 x^{3}-255 x^{2}-1485 x}{\left(x^{4}-24 x^{3}+162 x^{2}-2187\right) \ln \left(\frac{5}{3+x}\right)+x^{5}-26 x^{4}+211 x^{3}-330 x^{2}-2214 x +4374}\, dx\]"," ",0,"int((((x^4-24*x^3+162*x^2-2187)*ln(5/(3+x))+x^5-26*x^4+211*x^3-330*x^2-2214*x+4374)*ln(((-x^2+18*x-81)*ln(5/(3+x))-x^3+20*x^2-118*x+162)/(x^2-18*x+81))+x^5-25*x^4+188*x^3-255*x^2-1485*x)/((x^4-24*x^3+162*x^2-2187)*ln(5/(3+x))+x^5-26*x^4+211*x^3-330*x^2-2214*x+4374),x)","F"
4759,1,36,23,0.034000," ","int(1/3*(2*x-1)*ln(x)+1/3*(1-2*x)*ln(5)-x^2+x+2/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right) \left(x^{2}-x \right)}{3}+x +\frac{x^{2}}{3}-\frac{x^{2} \ln \left(5\right)}{3}+\frac{x \ln \left(5\right)}{3}-\frac{x^{3}}{3}$&$36$\\ default&$x +\frac{x^{2}}{3}-\frac{x^{3}}{3}-\frac{x^{2} \ln \left(5\right)}{3}+\frac{x \ln \left(5\right)}{3}+\frac{x^{2} \ln \left(x \right)}{3}-\frac{x \ln \left(x \right)}{3}$&$37$\\ norman&$\left(\frac{1}{3}-\frac{\ln \left(5\right)}{3}\right) x^{2}+\left(\frac{\ln \left(5\right)}{3}+1\right) x -\frac{x^{3}}{3}-\frac{x \ln \left(x \right)}{3}+\frac{x^{2} \ln \left(x \right)}{3}$&$37$\\ \hline \end{longtable}"," ",0,"1/3*ln(x)*(x^2-x)+x+1/3*x^2-1/3*x^2*ln(5)+1/3*x*ln(5)-1/3*x^3","A"
4760,1,26,27,0.128000," ","int(((ln(x^2)-2*ln(2)+exp(4)-8)*ln(-5*x/(ln(x^2)-2*ln(2)+exp(4)-8))+6*ln(x^2)-12*ln(2)+6*exp(4)-50)/(3*ln(x^2)-6*ln(2)+3*exp(4)-24),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 x}{3}+\frac{x \ln \left(-\frac{5 x}{\ln \left(x^{2}\right)-2 \ln \left(2\right)+{\mathrm e}^{4}-8}\right)}{3}$&$26$\\ \hline \end{longtable}"," ",0,"5/3*x+1/3*x*ln(-5*x/(ln(x^2)-2*ln(2)+exp(4)-8))","A"
4761,1,45,39,0.044000," ","int(((4*x^4+32*x^3-8*x)*exp(4)-4*x^6-96*x^5-576*x^4-520*x^3+128*x+26)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-13+\left(2 \,{\mathrm e}^{4}-288\right) x^{4}+\left(8 \,{\mathrm e}^{4}-128\right) x +\left(32 \,{\mathrm e}^{4}-520\right) x^{3}-32 x^{5}-x^{6}}{x^{2}}$&$45$\\ risch&$-x^{4}+2 x^{2} {\mathrm e}^{4}-32 x^{3}+32 x \,{\mathrm e}^{4}-288 x^{2}-520 x +\frac{\left(8 \,{\mathrm e}^{4}-128\right) x -13}{x^{2}}$&$46$\\ default&$-x^{4}+2 x^{2} {\mathrm e}^{4}-32 x^{3}+32 x \,{\mathrm e}^{4}-288 x^{2}-520 x -\frac{2 \left(-4 \,{\mathrm e}^{4}+64\right)}{x}-\frac{13}{x^{2}}$&$48$\\ gosper&$\frac{-x^{6}+2 x^{4} {\mathrm e}^{4}-32 x^{5}+32 x^{3} {\mathrm e}^{4}-288 x^{4}-520 x^{3}+8 x \,{\mathrm e}^{4}-128 x -13}{x^{2}}$&$49$\\ \hline \end{longtable}"," ",0,"(-13+(2*exp(4)-288)*x^4+(8*exp(4)-128)*x+(32*exp(4)-520)*x^3-32*x^5-x^6)/x^2","A"
4762,1,11,11,0.016000," ","int((ln(x)+4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-5-\ln \left(x \right)}{x}$&$11$\\ default&$-\frac{\ln \left(x \right)}{x}-\frac{5}{x}$&$14$\\ risch&$-\frac{\ln \left(x \right)}{x}-\frac{5}{x}$&$14$\\ \hline \end{longtable}"," ",0,"(-5-ln(x))/x","A"
4763,1,9,10,0.088000," ","int((-4*x-2)*exp(-2*x)^2/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-4 x}}{x^{2}}$&$9$\\ gosper&$\frac{{\mathrm e}^{-4 x}}{x^{2}}$&$11$\\ derivativedivides&$\frac{{\mathrm e}^{-4 x}}{x^{2}}$&$11$\\ default&$\frac{{\mathrm e}^{-4 x}}{x^{2}}$&$11$\\ norman&$\frac{{\mathrm e}^{-4 x}}{x^{2}}$&$11$\\ meijerg&$-\frac{2 \left(-8 x +2\right)}{x}+\frac{4 \,{\mathrm e}^{-4 x}}{x}+8-\frac{4}{x}-\frac{144 x^{2}-48 x +6}{6 x^{2}}+\frac{\left(-12 x +3\right) {\mathrm e}^{-4 x}}{3 x^{2}}+\frac{1}{x^{2}}$&$59$\\ \hline \end{longtable}"," ",0,"exp(-4*x)/x^2","A"
4764,1,18,15,0.050000," ","int((exp(7)+2*x)*ln(4*x)+exp(7)+2+x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x \,{\mathrm e}^{7}+x^{2}\right) \ln \left(4 x \right)+2 x$&$18$\\ derivativedivides&$2 x +{\mathrm e}^{7} \ln \left(4 x \right) x +x^{2} \ln \left(4 x \right)$&$21$\\ default&$2 x +{\mathrm e}^{7} \ln \left(4 x \right) x +x^{2} \ln \left(4 x \right)$&$21$\\ norman&$2 x +{\mathrm e}^{7} \ln \left(4 x \right) x +x^{2} \ln \left(4 x \right)$&$21$\\ \hline \end{longtable}"," ",0,"(x*exp(7)+x^2)*ln(4*x)+2*x","A"
4765,1,28,22,0.063000," ","int(1/25*((-576*x^6+864*x^5-5760*x^4+5760*x^3-14400*x^2+7200*x)*ln(5)^2+(1152*x^4-1152*x^3+5760*x^2-2880*x)*ln(5)-576*x^2+288*x)/ln(5)^2/exp(x)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{144 x^{2} \left(x^{2} \ln \left(5\right)+5 \ln \left(5\right)-1\right)^{2} {\mathrm e}^{-4 x}}{25 \ln \left(5\right)^{2}}$&$28$\\ risch&$\frac{\left(144 x^{6} \ln \left(5\right)^{2}+1440 x^{4} \ln \left(5\right)^{2}-288 x^{4} \ln \left(5\right)+3600 x^{2} \ln \left(5\right)^{2}-1440 x^{2} \ln \left(5\right)+144 x^{2}\right) {\mathrm e}^{-4 x}}{25 \ln \left(5\right)^{2}}$&$58$\\ default&$\frac{144 \,{\mathrm e}^{-4 x} x^{2}-1440 \,{\mathrm e}^{-4 x} x^{2} \ln \left(5\right)+3600 \,{\mathrm e}^{-4 x} x^{2} \ln \left(5\right)^{2}-288 \,{\mathrm e}^{-4 x} x^{4} \ln \left(5\right)+1440 \,{\mathrm e}^{-4 x} x^{4} \ln \left(5\right)^{2}+144 \,{\mathrm e}^{-4 x} x^{6} \ln \left(5\right)^{2}}{25 \ln \left(5\right)^{2}}$&$78$\\ meijerg&$\frac{9 \left(28672 x^{6}+43008 x^{5}+53760 x^{4}+53760 x^{3}+40320 x^{2}+20160 x +5040\right) {\mathrm e}^{-4 x}}{44800}-\frac{9 \left(6144 x^{5}+7680 x^{4}+7680 x^{3}+5760 x^{2}+2880 x +720\right) {\mathrm e}^{-4 x}}{6400}+\frac{\left(-\frac{1152 \ln \left(5\right)^{2}}{5}+\frac{1152 \ln \left(5\right)}{25}\right) \left(24-\frac{\left(1280 x^{4}+1280 x^{3}+960 x^{2}+480 x +120\right) {\mathrm e}^{-4 x}}{5}\right)}{1024 \ln \left(5\right)^{2}}+\frac{\left(\frac{1152 \ln \left(5\right)^{2}}{5}-\frac{1152 \ln \left(5\right)}{25}\right) \left(6-\frac{\left(256 x^{3}+192 x^{2}+96 x +24\right) {\mathrm e}^{-4 x}}{4}\right)}{256 \ln \left(5\right)^{2}}+\frac{\left(-576 \ln \left(5\right)^{2}+\frac{1152 \ln \left(5\right)}{5}-\frac{576}{25}\right) \left(2-\frac{\left(48 x^{2}+24 x +6\right) {\mathrm e}^{-4 x}}{3}\right)}{64 \ln \left(5\right)^{2}}+\frac{\left(288 \ln \left(5\right)^{2}-\frac{576 \ln \left(5\right)}{5}+\frac{288}{25}\right) \left(1-\frac{\left(8 x +2\right) {\mathrm e}^{-4 x}}{2}\right)}{16 \ln \left(5\right)^{2}}$&$221$\\ \hline \end{longtable}"," ",0,"144/25*x^2*(x^2*ln(5)+5*ln(5)-1)^2/ln(5)^2/exp(x)^4","A"
4766,1,11,19,2.869000," ","int((16384*x^3-110592*x^2+248832*x-186624)*exp(4096*x^4-36864*x^3+124416*x^2-186624*x+104976),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{16 \left(4 x -9\right)^{4}}$&$11$\\ gosper&${\mathrm e}^{4096 x^{4}-36864 x^{3}+124416 x^{2}-186624 x +104976}$&$22$\\ derivativedivides&${\mathrm e}^{4096 x^{4}-36864 x^{3}+124416 x^{2}-186624 x +104976}$&$22$\\ norman&${\mathrm e}^{4096 x^{4}-36864 x^{3}+124416 x^{2}-186624 x +104976}$&$22$\\ \hline \end{longtable}"," ",0,"exp(16*(4*x-9)^4)","A"
4767,1,32,24,0.093000," ","int((2*ln(2)+(1-2*x)*ln(3)-3*x^2+2*x)*exp(2*(-ln(3)-x)*ln(2)+(x^2-x)*ln(3)+x^3-x^2)+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -2^{-2 \ln \left(3\right)-2 x} 3^{x \left(x -1\right)} {\mathrm e}^{x^{2} \left(x -1\right)}$&$32$\\ default&$2 x -{\mathrm e}^{2 \left(-\ln \left(3\right)-x \right) \ln \left(2\right)+\left(x^{2}-x \right) \ln \left(3\right)+x^{3}-x^{2}}$&$39$\\ norman&$2 x -{\mathrm e}^{2 \left(-\ln \left(3\right)-x \right) \ln \left(2\right)+\left(x^{2}-x \right) \ln \left(3\right)+x^{3}-x^{2}}$&$39$\\ \hline \end{longtable}"," ",0,"2*x-2^(-2*ln(3)-2*x)*3^(x*(x-1))*exp(x^2*(x-1))","A"
4768,1,51,25,0.114000," ","int(((-6*x^3-32*x^2+40*x+288)*ln(4+x)+2*(-6*x^3-32*x^2+40*x+288)*ln(2)-x^4+6*x^3+4*x^2-24*x)/(x^5+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \left(3 x^{2}+2 x -12\right) \ln \left(4+x \right)}{x^{3}}+\frac{-x^{3} \ln \left(4+x \right)+12 x^{2} \ln \left(2\right)+8 x \ln \left(2\right)-48 \ln \left(2\right)}{x^{3}}$&$51$\\ norman&$\frac{-x^{3} \ln \left(4+x \right)+8 x \ln \left(2\right)+12 x^{2} \ln \left(2\right)+6 x^{2} \ln \left(4+x \right)+4 \ln \left(4+x \right) x -48 \ln \left(2\right)-24 \ln \left(4+x \right)}{x^{3}}$&$53$\\ derivativedivides&$-\frac{48 \ln \left(2\right)}{x^{3}}+\frac{12 \ln \left(2\right)}{x}+\frac{8 \ln \left(2\right)}{x^{2}}-\frac{3 \ln \left(4+x \right) \left(4+x \right) \left(\left(4+x \right)^{2}-12 x \right)}{8 x^{3}}+\frac{3 \ln \left(4+x \right) \left(4+x \right)}{2 x}-\frac{\ln \left(4+x \right) \left(4+x \right) \left(x -4\right)}{4 x^{2}}-\frac{15 \ln \left(4+x \right)}{8}$&$77$\\ default&$-\frac{48 \ln \left(2\right)}{x^{3}}+\frac{12 \ln \left(2\right)}{x}+\frac{8 \ln \left(2\right)}{x^{2}}-\frac{3 \ln \left(4+x \right) \left(4+x \right) \left(\left(4+x \right)^{2}-12 x \right)}{8 x^{3}}+\frac{3 \ln \left(4+x \right) \left(4+x \right)}{2 x}-\frac{\ln \left(4+x \right) \left(4+x \right) \left(x -4\right)}{4 x^{2}}-\frac{15 \ln \left(4+x \right)}{8}$&$77$\\ \hline \end{longtable}"," ",0,"2*(3*x^2+2*x-12)/x^3*ln(4+x)+(-x^3*ln(4+x)+12*x^2*ln(2)+8*x*ln(2)-48*ln(2))/x^3","A"
4769,1,584,25,2.479000," ","int(((x*ln(5/4/x^3)-3*x-3)*ln(x^2)+(2*x^2+4*x+2)*ln(5/4/x^3)^2+(2*x+2)*ln(5/4/x^3))/((x^3+2*x^2+x)*ln(5/4/x^3)^2+(2*x^2+2*x)*ln(5/4/x^3)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x \ln \left(x \right)+2 \ln \left(x \right)+\frac{2}{3}}{x +1}-\frac{4+4 \ln \left(5\right)-8 \ln \left(2\right)+4 x \ln \left(5\right)-8 x \ln \left(2\right)-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-i x \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)+2 i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}-i x \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+2 i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-2 i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-2 i x \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+2 i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)+2 i x \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}}{3 \left(x +1\right) \left(2+2 \ln \left(5\right)-4 \ln \left(2\right)-6 \ln \left(x \right)+2 x \ln \left(5\right)-6 x \ln \left(x \right)-4 x \ln \left(2\right)+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+i x \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)+i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+i x \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-2 i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-i x \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)+i x \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}\right)}$&$584$\\ \hline \end{longtable}"," ",0,"2/3*(3*x*ln(x)+3*ln(x)+1)/(x+1)-1/3*(4+4*ln(5)-8*ln(2)+4*x*ln(5)-8*x*ln(2)-I*Pi*csgn(I*x^2)^3-I*x*Pi*csgn(I*x^2)^3+2*I*Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+2*I*Pi*csgn(I*x^3)^3-I*x*Pi*csgn(I*x)^2*csgn(I*x^2)-2*I*Pi*csgn(I*x^2)*csgn(I*x^3)^2-2*I*Pi*csgn(I*x)*csgn(I*x^3)^2+2*I*x*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-2*I*x*Pi*csgn(I*x)*csgn(I*x^3)^2-2*I*x*Pi*csgn(I*x^2)*csgn(I*x^3)^2+2*I*x*Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+2*I*x*Pi*csgn(I*x^3)^3)/(x+1)/(2+2*ln(5)-4*ln(2)-6*ln(x)+2*x*ln(5)-6*x*ln(x)-4*x*ln(2)+I*Pi*csgn(I*x^2)^3+I*x*Pi*csgn(I*x^2)^3+I*Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+I*Pi*csgn(I*x^3)^3+I*x*Pi*csgn(I*x)^2*csgn(I*x^2)-I*Pi*csgn(I*x^2)*csgn(I*x^3)^2-I*Pi*csgn(I*x)*csgn(I*x^3)^2-2*I*x*Pi*csgn(I*x)*csgn(I*x^2)^2+I*Pi*csgn(I*x)^2*csgn(I*x^2)-2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*x*Pi*csgn(I*x)*csgn(I*x^3)^2-I*x*Pi*csgn(I*x^2)*csgn(I*x^3)^2+I*x*Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+I*x*Pi*csgn(I*x^3)^3)","C"
4770,1,19,20,0.050000," ","int((-2*x^2-4*x+2)/(x*ln(25*x^2)-x*exp(1)-x^3-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(4 x +{\mathrm e}+x^{2}-\ln \left(25 x^{2}\right)\right)$&$19$\\ risch&$\ln \left(-x^{2}-{\mathrm e}-4 x +\ln \left(25 x^{2}\right)\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(4*x+exp(1)+x^2-ln(25*x^2))","A"
4771,1,74,24,0.297000," ","int((x*ln(x^2)+(8*x*ln(5)+4*x^2+20*x)*exp(1-x)-4*ln(5)-18*x-8)/(2*x*ln(x^2)^2+(16*x*exp(1-x)-64*x)*ln(x^2)+32*x*exp(1-x)^2-256*x*exp(1-x)+512*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{i \left(2 \ln \left(5\right)+x +4\right)}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+8 i {\mathrm e}^{1-x}+4 i \ln \left(x \right)-32 i}$&$74$\\ \hline \end{longtable}"," ",0,"I*(2*ln(5)+x+4)/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+8*I*exp(1-x)+4*I*ln(x)-32*I)","C"
4772,1,13,14,0.091000," ","int((2*x^2-2*x-1)/(2*x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{2}-\frac{\ln \left(x -1\right)}{2}$&$13$\\ risch&$\frac{x^{2}}{2}-\frac{\ln \left(x -1\right)}{2}$&$13$\\ norman&$\frac{x^{2}}{2}-\frac{\ln \left(2 x -2\right)}{2}$&$15$\\ meijerg&$-\frac{\ln \left(1-x \right)}{2}+\frac{x \left(6+3 x \right)}{6}-x$&$21$\\ \hline \end{longtable}"," ",0,"1/2*x^2-1/2*ln(x-1)","A"
4773,1,21,17,0.031000," ","int(16*x^3*ln(2)^2+16*x^3*ln(2)+4*x^3-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(4 \ln \left(2\right)^{2}+4 \ln \left(2\right)+1\right) x^{4}-x$&$21$\\ gosper&$4 x^{4} \ln \left(2\right)^{2}+4 x^{4} \ln \left(2\right)+x^{4}-x$&$24$\\ default&$4 x^{4} \ln \left(2\right)^{2}+4 x^{4} \ln \left(2\right)+x^{4}-x$&$24$\\ risch&$4 x^{4} \ln \left(2\right)^{2}+4 x^{4} \ln \left(2\right)+x^{4}-x$&$24$\\ \hline \end{longtable}"," ",0,"(4*ln(2)^2+4*ln(2)+1)*x^4-x","A"
4774,1,14,15,0.022000," ","int(((4194304*x+16)*ln(x)-16)/ln(x)^2/exp(-262144*x+1048576),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x \,{\mathrm e}^{262144 x -1048576}}{\ln \left(x \right)}$&$14$\\ norman&$\frac{16 x \,{\mathrm e}^{262144 x -1048576}}{\ln \left(x \right)}$&$16$\\ \hline \end{longtable}"," ",0,"16*x*exp(262144*x-1048576)/ln(x)","A"
4775,1,60,25,0.054000," ","int(((16*x*ln(3)+2*x^7-4*x^5+2*x^3)*ln(ln(3)^2+1/64*(16*x^6-32*x^4+16*x^2)*ln(3)+1/64*x^12-1/16*x^10+3/32*x^8-1/16*x^6+1/64*x^4)+16*x*ln(3)-22*x^7+28*x^5-6*x^3)/((8*ln(3)+x^6-2*x^4+x^2)*ln(ln(3)^2+1/64*(16*x^6-32*x^4+16*x^2)*ln(3)+1/64*x^12-1/16*x^10+3/32*x^8-1/16*x^6+1/64*x^4)^3+(24*ln(3)+3*x^6-6*x^4+3*x^2)*ln(ln(3)^2+1/64*(16*x^6-32*x^4+16*x^2)*ln(3)+1/64*x^12-1/16*x^10+3/32*x^8-1/16*x^6+1/64*x^4)^2+(24*ln(3)+3*x^6-6*x^4+3*x^2)*ln(ln(3)^2+1/64*(16*x^6-32*x^4+16*x^2)*ln(3)+1/64*x^12-1/16*x^10+3/32*x^8-1/16*x^6+1/64*x^4)+8*ln(3)+x^6-2*x^4+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{\left(\ln \left(\ln \left(3\right)^{2}+\frac{\left(16 x^{6}-32 x^{4}+16 x^{2}\right) \ln \left(3\right)}{64}+\frac{x^{12}}{64}-\frac{x^{10}}{16}+\frac{3 x^{8}}{32}-\frac{x^{6}}{16}+\frac{x^{4}}{64}\right)+1\right)^{2}}$&$60$\\ \hline \end{longtable}"," ",0,"x^2/(ln(ln(3)^2+1/64*(16*x^6-32*x^4+16*x^2)*ln(3)+1/64*x^12-1/16*x^10+3/32*x^8-1/16*x^6+1/64*x^4)+1)^2","B"
4776,1,18,15,0.137000," ","int((-4*exp(2+x)+8)/(exp(2)*exp(2+x)-2*exp(2)*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-4 \,{\mathrm e}^{-2} \ln \left(2 x -{\mathrm e}^{2+x}\right)$&$18$\\ risch&$8 \,{\mathrm e}^{-2}-4 \ln \left({\mathrm e}^{2+x}-2 x \right) {\mathrm e}^{-2}$&$19$\\ \hline \end{longtable}"," ",0,"-4/exp(2)*ln(2*x-exp(2+x))","A"
4777,1,68,32,0.074000," ","int(((2*x^2+2*x)*exp(x)^2*ln(-x+4)^2+(-2*x^3+19*x^2+24*x)*exp(x)^2*ln(-x+4)+(-4*x^4+20*x^3+15*x^2)*exp(x)^2)/((exp(x)^2*x^2-2)*ln(-x+4)^2+((-x^3+12*x^2)*exp(x)^2-4*x)*ln(-x+4)+(-2*x^4+12*x^3)*exp(x)^2-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right)+\ln \left({\mathrm e}^{2 x}-\frac{2}{x^{2}}\right)+\ln \left(\ln \left(-x +4\right)-\frac{2 x \left({\mathrm e}^{2 x} x^{2}-6 x \,{\mathrm e}^{2 x}+1\right)}{{\mathrm e}^{2 x} x^{2}-2}\right)-\ln \left(x +\ln \left(-x +4\right)\right)$&$68$\\ \hline \end{longtable}"," ",0,"2*ln(x)+ln(exp(2*x)-2/x^2)+ln(ln(-x+4)-2*x*(exp(2*x)*x^2-6*x*exp(2*x)+1)/(exp(2*x)*x^2-2))-ln(x+ln(-x+4))","B"
4778,1,5,12,0.014000," ","int(4/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(x \right)$&$5$\\ norman&$4 \ln \left(x \right)$&$5$\\ risch&$4 \ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"4*ln(x)","A"
4779,1,15,13,0.018000," ","int(80*ln(-ln(2))-80*ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(80 \ln \left(-\ln \left(2\right)\right)-80 \ln \left(5\right)\right) x$&$15$\\ norman&$\left(80 \ln \left(\ln \left(2\right)\right)+80 i \pi -80 \ln \left(5\right)\right) x$&$17$\\ risch&$80 i x \pi -80 x \ln \left(5\right)+80 x \ln \left(\ln \left(2\right)\right)$&$18$\\ \hline \end{longtable}"," ",0,"(80*ln(-ln(2))-80*ln(5))*x","A"
4780,1,12,16,0.128000," ","int(1/16*(exp(x-3)*exp(exp(x-3)/exp(3))-8*exp(3))/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{{\mathrm e}^{x -6}}}{16}-\frac{x}{2}$&$12$\\ norman&$\frac{{\mathrm e}^{{\mathrm e}^{x -3} {\mathrm e}^{-3}}}{16}-\frac{x}{2}$&$17$\\ default&$\frac{{\mathrm e}^{-3} \left({\mathrm e}^{3} {\mathrm e}^{{\mathrm e}^{x -3} {\mathrm e}^{-3}}-8 x \,{\mathrm e}^{3}\right)}{16}$&$26$\\ derivativedivides&$\frac{{\mathrm e}^{-3} \left({\mathrm e}^{3} {\mathrm e}^{{\mathrm e}^{x -3} {\mathrm e}^{-3}}-8 \,{\mathrm e}^{3} \ln \left({\mathrm e}^{x -3} {\mathrm e}^{-3}\right)\right)}{16}$&$35$\\ \hline \end{longtable}"," ",0,"1/16*exp(exp(x-6))-1/2*x","A"
4781,1,24,26,0.059000," ","int((((-6*x^2*exp(5)-12*x)*exp(x*exp(5))+18*x^2-18)*ln(x)*ln(ln(x))+3*x*exp(x*exp(5))-3*x^2+9)/(x^6*exp(x*exp(5))^3+(-3*x^7+9*x^5)*exp(x*exp(5))^2+(3*x^8-18*x^6+27*x^4)*exp(x*exp(5))-x^9+9*x^7-27*x^5+27*x^3)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \ln \left(\ln \left(x \right)\right)}{x^{2} \left(x^{2}-x \,{\mathrm e}^{x \,{\mathrm e}^{5}}-3\right)^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"3/x^2/(x^2-x*exp(x*exp(5))-3)^2*ln(ln(x))","A"
4782,1,159,31,0.170000," ","int((128*x^6+96*x^5)*exp(x)^8+(-448*x^8-512*x^7+448*x^6+384*x^5)*exp(x)^7+(576*x^10+960*x^9-1152*x^8-1536*x^7+576*x^6+576*x^5)*exp(x)^6+(-320*x^12-768*x^11+960*x^10+1920*x^9-960*x^8-1536*x^7+320*x^6+384*x^5)*exp(x)^5+((-32*x^4-32*x^3)*exp(1)+64*x^14+224*x^13-256*x^12-768*x^11+384*x^10+960*x^9-256*x^8-512*x^7+64*x^6+96*x^5)*exp(x)^4+(48*x^6+96*x^5-48*x^4-64*x^3)*exp(1)*exp(x)^3+(-16*x^8-64*x^7+32*x^6+96*x^5-16*x^4-32*x^3)*exp(1)*exp(x)^2+2*x*exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{6} {\mathrm e}^{8 x}+\left(-64 x^{8}+64 x^{6}\right) {\mathrm e}^{7 x}+\left(96 x^{10}-192 x^{8}+96 x^{6}\right) {\mathrm e}^{6 x}+\left(-64 x^{12}+192 x^{10}-192 x^{8}+64 x^{6}\right) {\mathrm e}^{5 x}+\left(16 x^{14}-64 x^{12}+96 x^{10}-64 x^{8}+16 x^{6}-8 x^{4} {\mathrm e}\right) {\mathrm e}^{4 x}+\left(16 x^{6}-16 x^{4}\right) {\mathrm e}^{3 x +1}+\left(-8 x^{8}+16 x^{6}-8 x^{4}\right) {\mathrm e}^{2 x +1}+x^{2} {\mathrm e}^{2}$&$159$\\ default&$16 \,{\mathrm e}^{4 x} x^{14}-64 \,{\mathrm e}^{4 x} x^{12}+96 \,{\mathrm e}^{4 x} x^{10}-64 x^{8} {\mathrm e}^{4 x}+16 x^{6} {\mathrm e}^{4 x}-32 \,{\mathrm e} \left(\frac{x^{3} {\mathrm e}^{4 x}}{4}-\frac{3 x^{2} {\mathrm e}^{4 x}}{16}+\frac{3 x \,{\mathrm e}^{4 x}}{32}-\frac{3 \,{\mathrm e}^{4 x}}{128}\right)-32 \,{\mathrm e} \left(\frac{x^{4} {\mathrm e}^{4 x}}{4}-\frac{x^{3} {\mathrm e}^{4 x}}{4}+\frac{3 x^{2} {\mathrm e}^{4 x}}{16}-\frac{3 x \,{\mathrm e}^{4 x}}{32}+\frac{3 \,{\mathrm e}^{4 x}}{128}\right)+16 x^{6} {\mathrm e}^{8 x}+64 \,{\mathrm e}^{7 x} x^{6}-64 \,{\mathrm e}^{7 x} x^{8}+96 \,{\mathrm e}^{6 x} x^{6}-192 \,{\mathrm e}^{6 x} x^{8}+96 \,{\mathrm e}^{6 x} x^{10}-64 \,{\mathrm e}^{5 x} x^{12}+64 x^{6} {\mathrm e}^{5 x}-192 \,{\mathrm e}^{5 x} x^{8}+192 \,{\mathrm e}^{5 x} x^{10}+16 \,{\mathrm e} \left(-x^{4} {\mathrm e}^{3 x}+x^{6} {\mathrm e}^{3 x}\right)+16 \,{\mathrm e} \left(-\frac{{\mathrm e}^{2 x} x^{4}}{2}+x^{6} {\mathrm e}^{2 x}-\frac{x^{8} {\mathrm e}^{2 x}}{2}\right)+x^{2} {\mathrm e}^{2}$&$279$\\ \hline \end{longtable}"," ",0,"16*x^6*exp(8*x)+(-64*x^8+64*x^6)*exp(7*x)+(96*x^10-192*x^8+96*x^6)*exp(6*x)+(-64*x^12+192*x^10-192*x^8+64*x^6)*exp(5*x)+(16*x^14-64*x^12+96*x^10-64*x^8+16*x^6-8*x^4*exp(1))*exp(4*x)+(16*x^6-16*x^4)*exp(3*x+1)+(-8*x^8+16*x^6-8*x^4)*exp(2*x+1)+x^2*exp(2)","B"
4783,1,39,27,0.275000," ","int((2*x-1)*exp(48*ln(5)^2)*exp(((2*x^2-2*x)*exp(exp(4))-1)*exp(48*ln(5)^2)/(x^2-x)/exp(exp(4)))/(x^4-2*x^3+x^2)/exp(exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{\left(2 x^{2} {\mathrm e}^{{\mathrm e}^{4}}-2 x \,{\mathrm e}^{{\mathrm e}^{4}}-1\right) {\mathrm e}^{48 \ln \left(5\right)^{2}} {\mathrm e}^{-{\mathrm e}^{4}}}{x \left(x -1\right)}}$&$39$\\ risch&${\mathrm e}^{\frac{\left(2 x^{2} {\mathrm e}^{{\mathrm e}^{4}}-2 x \,{\mathrm e}^{{\mathrm e}^{4}}-1\right) {\mathrm e}^{48 \ln \left(5\right)^{2}-{\mathrm e}^{4}}}{x \left(x -1\right)}}$&$39$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{\left(\left(2 x^{2}-2 x \right) {\mathrm e}^{{\mathrm e}^{4}}-1\right) {\mathrm e}^{48 \ln \left(5\right)^{2}} {\mathrm e}^{-{\mathrm e}^{4}}}{x^{2}-x}}-x \,{\mathrm e}^{\frac{\left(\left(2 x^{2}-2 x \right) {\mathrm e}^{{\mathrm e}^{4}}-1\right) {\mathrm e}^{48 \ln \left(5\right)^{2}} {\mathrm e}^{-{\mathrm e}^{4}}}{x^{2}-x}}}{x \left(x -1\right)}$&$94$\\ \hline \end{longtable}"," ",0,"exp((2*x^2*exp(exp(4))-2*x*exp(exp(4))-1)*exp(48*ln(5)^2)/x/(x-1)/exp(exp(4)))","A"
4784,1,16,16,0.036000," ","int(((-10*x^2+5)*exp(x^2+5)+11*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$11 x -\frac{5 \,{\mathrm e}^{x^{2}+5}}{x}$&$16$\\ norman&$\frac{11 x^{2}-5 \,{\mathrm e}^{x^{2}+5}}{x}$&$19$\\ default&$11 x -5 \,{\mathrm e}^{5} \sqrt{\pi}\, \erfi \left(x \right)+5 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{x^{2}}}{x}+\sqrt{\pi}\, \erfi \left(x \right)\right)$&$34$\\ \hline \end{longtable}"," ",0,"11*x-5*exp(x^2+5)/x","A"
4785,1,27,29,0.138000," ","int(1/5*((-8*x+20)*exp(-2/5*ln(2)+4/5*x^2-4*x+1/5)+5)*exp(exp(-2/5*ln(2)+4/5*x^2-4*x+1/5)+2*ln(2)-x+1)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -4 \,{\mathrm e}^{\frac{2^{\frac{3}{5}} {\mathrm e}^{\frac{1}{5}+\frac{4}{5} x^{2}-4 x}}{2}+1-x}$&$27$\\ default&$x -{\mathrm e}^{{\mathrm e}^{-\frac{2 \ln \left(2\right)}{5}+\frac{4 x^{2}}{5}-4 x +\frac{1}{5}}+2 \ln \left(2\right)-x +1}$&$30$\\ norman&$x -{\mathrm e}^{{\mathrm e}^{-\frac{2 \ln \left(2\right)}{5}+\frac{4 x^{2}}{5}-4 x +\frac{1}{5}}+2 \ln \left(2\right)-x +1}$&$30$\\ \hline \end{longtable}"," ",0,"x-4*exp(1/2*2^(3/5)*exp(1/5+4/5*x^2-4*x)+1-x)","A"
4786,1,26,26,0.196000," ","int(((5*ln(x)^3+(70*x-35)*ln(x)^2+(-560*x+40)*ln(x)+1120*x+80)*exp(5/6*x*ln(x)+35/6*x^2-5)+6*ln(x)^2-54*ln(x)+126)/(6*ln(x)^2-48*ln(x)+96),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{x}{\ln \left(x \right)-4}+x^{\frac{5 x}{6}} {\mathrm e}^{-5+\frac{35 x^{2}}{6}}$&$26$\\ norman&$\frac{x \ln \left(x \right)+\ln \left(x \right) {\mathrm e}^{\frac{5 x \ln \left(x \right)}{6}+\frac{35 x^{2}}{6}-5}-5 x -4 \,{\mathrm e}^{\frac{5 x \ln \left(x \right)}{6}+\frac{35 x^{2}}{6}-5}}{\ln \left(x \right)-4}$&$47$\\ default&$\frac{x \left(\ln \left(x \right)-5\right)}{\ln \left(x \right)-4}+\frac{6 \ln \left(x \right) {\mathrm e}^{\frac{5 x \ln \left(x \right)}{6}+\frac{35 x^{2}}{6}-5}-24 \,{\mathrm e}^{\frac{5 x \ln \left(x \right)}{6}+\frac{35 x^{2}}{6}-5}}{6 \ln \left(x \right)-24}$&$55$\\ \hline \end{longtable}"," ",0,"x-x/(ln(x)-4)+x^(5/6*x)*exp(-5+35/6*x^2)","A"
4787,1,2034,33,0.844000," ","int(((-x^2-4)*ln(x)*ln(5/2/x/ln(x)^2)^2+(((10*x^2+40)*ln(3)-2*x^2+16*x+8)*ln(x)-4*x^2+16)*ln(5/2/x/ln(x)^2)+((-25*x^2-100)*ln(3)^2+(10*x^2-80*x-40)*ln(3)+x^4+2*x^3-12*x^2-8*x)*ln(x)+(20*x^2-80)*ln(3)+4*x^3-16*x)/(x^4-8*x^2+16)/ln(3)^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2034$\\ \hline \end{longtable}"," ",0,"4/ln(3)^2*x/(x^2-4)*ln(ln(x))^2+2/ln(3)^2*(I*Pi*x*csgn(I/x)*csgn(I/ln(x)^2)*csgn(I/x/ln(x)^2)-I*Pi*x*csgn(I*ln(x)^2)^3+I*Pi*x*csgn(I/x/ln(x)^2)^3-I*Pi*x*csgn(I/ln(x)^2)*csgn(I/x/ln(x)^2)^2-I*Pi*x*csgn(I/x)*csgn(I/x/ln(x)^2)^2+2*I*Pi*x*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-I*Pi*x*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+8+2*x*ln(2)+10*x*ln(3)-2*x*ln(5)+2*x*ln(x))/(x^2-4)*ln(ln(x))+1/4/ln(3)^2*(40*x*ln(3)*ln(x)+8*x^2*ln(x)+8*x*ln(2)*ln(x)-8*x*ln(2)*ln(5)+16*x^2*ln(ln(x))-32*ln(5)+32*ln(2)-64*ln(ln(x))+160*ln(3)+4*x^3-2*Pi^2*x*csgn(I/x)*csgn(I*ln(x))^2*csgn(I*ln(x)^2)*csgn(I/x/ln(x)^2)^2+4*Pi^2*x*csgn(I/x)*csgn(I*ln(x))*csgn(I*ln(x)^2)^2*csgn(I/x/ln(x)^2)^2+2*Pi^2*x*csgn(I/x)*csgn(I/ln(x)^2)*csgn(I*ln(x)^2)^3*csgn(I/x/ln(x)^2)-2*Pi^2*x*csgn(I*ln(x))^2*csgn(I/ln(x)^2)*csgn(I*ln(x)^2)*csgn(I/x/ln(x)^2)^2+4*Pi^2*x*csgn(I*ln(x))*csgn(I/ln(x)^2)*csgn(I*ln(x)^2)^2*csgn(I/x/ln(x)^2)^2-4*I*Pi*ln(2)*x*csgn(I/x)*csgn(I/x/ln(x)^2)^2-16*I*Pi*csgn(I*ln(x)^2)^3+16*I*Pi*csgn(I/x/ln(x)^2)^3-Pi^2*x*csgn(I*ln(x)^2)^6+4*x*ln(2)^2+100*x*ln(3)^2+4*x*ln(x)^2-16*I*Pi*csgn(I/ln(x)^2)*csgn(I/x/ln(x)^2)^2-16*I*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-Pi^2*x*csgn(I/ln(x)^2)^2*csgn(I/x/ln(x)^2)^4+2*Pi^2*x*csgn(I/ln(x)^2)*csgn(I/x/ln(x)^2)^5+2*Pi^2*x*csgn(I*ln(x)^2)^3*csgn(I/x/ln(x)^2)^3-Pi^2*x*csgn(I/x/ln(x)^2)^6-Pi^2*x*csgn(I/x)^2*csgn(I/x/ln(x)^2)^4+2*Pi^2*x*csgn(I/x)*csgn(I/x/ln(x)^2)^5-Pi^2*x*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2+4*Pi^2*x*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3-6*Pi^2*x*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4+4*Pi^2*x*csgn(I*ln(x))*csgn(I*ln(x)^2)^5+32*I*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-16*I*Pi*csgn(I/x)*csgn(I/x/ln(x)^2)^2-40*x*ln(3)*ln(5)+4*x*ln(5)^2-8*x*ln(5)*ln(x)+40*x*ln(2)*ln(3)-4*I*Pi*x*csgn(I*ln(x)^2)^3*ln(x)+4*I*Pi*x*csgn(I/x/ln(x)^2)^3*ln(x)-4*I*Pi*ln(2)*x*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+8*I*Pi*ln(2)*x*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-4*I*Pi*ln(2)*x*csgn(I/ln(x)^2)*csgn(I/x/ln(x)^2)^2-20*I*Pi*ln(3)*x*csgn(I/x)*csgn(I/x/ln(x)^2)^2-20*I*Pi*ln(3)*x*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+40*I*Pi*ln(3)*x*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-20*I*Pi*ln(3)*x*csgn(I/ln(x)^2)*csgn(I/x/ln(x)^2)^2+4*I*Pi*ln(5)*x*csgn(I/x)*csgn(I/x/ln(x)^2)^2+4*I*Pi*ln(5)*x*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-8*I*Pi*ln(5)*x*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+4*I*Pi*ln(5)*x*csgn(I/ln(x)^2)*csgn(I/x/ln(x)^2)^2-4*I*Pi*x*csgn(I/x)*csgn(I/x/ln(x)^2)^2*ln(x)-4*I*Pi*x*csgn(I*ln(x))^2*csgn(I*ln(x)^2)*ln(x)+8*I*Pi*x*csgn(I*ln(x))*csgn(I*ln(x)^2)^2*ln(x)-4*I*Pi*x*csgn(I/ln(x)^2)*csgn(I/x/ln(x)^2)^2*ln(x)+2*Pi^2*x*csgn(I/x)*csgn(I*ln(x))^2*csgn(I/ln(x)^2)*csgn(I*ln(x)^2)*csgn(I/x/ln(x)^2)-4*Pi^2*x*csgn(I/x)*csgn(I*ln(x))*csgn(I/ln(x)^2)*csgn(I*ln(x)^2)^2*csgn(I/x/ln(x)^2)+4*I*Pi*ln(2)*x*csgn(I/x)*csgn(I/ln(x)^2)*csgn(I/x/ln(x)^2)+20*I*Pi*ln(3)*x*csgn(I/x)*csgn(I/ln(x)^2)*csgn(I/x/ln(x)^2)-4*I*Pi*ln(5)*x*csgn(I/x)*csgn(I/ln(x)^2)*csgn(I/x/ln(x)^2)+4*I*Pi*x*csgn(I/x)*csgn(I/ln(x)^2)*csgn(I/x/ln(x)^2)*ln(x)-Pi^2*x*csgn(I/x)^2*csgn(I/ln(x)^2)^2*csgn(I/x/ln(x)^2)^2+2*Pi^2*x*csgn(I/x)^2*csgn(I/ln(x)^2)*csgn(I/x/ln(x)^2)^3+2*Pi^2*x*csgn(I/x)*csgn(I/ln(x)^2)^2*csgn(I/x/ln(x)^2)^3-4*Pi^2*x*csgn(I/x)*csgn(I/ln(x)^2)*csgn(I/x/ln(x)^2)^4-2*Pi^2*x*csgn(I/x)*csgn(I*ln(x)^2)^3*csgn(I/x/ln(x)^2)^2+2*Pi^2*x*csgn(I*ln(x))^2*csgn(I*ln(x)^2)*csgn(I/x/ln(x)^2)^3-4*Pi^2*x*csgn(I*ln(x))*csgn(I*ln(x)^2)^2*csgn(I/x/ln(x)^2)^3-2*Pi^2*x*csgn(I/ln(x)^2)*csgn(I*ln(x)^2)^3*csgn(I/x/ln(x)^2)^2-4*I*Pi*ln(2)*x*csgn(I*ln(x)^2)^3+4*I*Pi*ln(2)*x*csgn(I/x/ln(x)^2)^3-20*I*Pi*ln(3)*x*csgn(I*ln(x)^2)^3+20*I*Pi*ln(3)*x*csgn(I/x/ln(x)^2)^3+4*I*Pi*ln(5)*x*csgn(I*ln(x)^2)^3-4*I*Pi*ln(5)*x*csgn(I/x/ln(x)^2)^3+16*I*Pi*csgn(I/x)*csgn(I/ln(x)^2)*csgn(I/x/ln(x)^2))/(x^2-4)","C"
4788,1,16,19,0.281000," ","int(((-ln(-ln(7))-x-225)*ln(ln(-ln(7))+x+225)+x)/(x*ln(-ln(7))+x^2+225*x)/ln(ln(-ln(7))+x+225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)+\ln \left(\ln \left(\ln \left(-\ln \left(7\right)\right)+x +225\right)\right)$&$16$\\ risch&$-\ln \left(x \right)+\ln \left(\ln \left(\ln \left(\ln \left(7\right)\right)+i \pi +x +225\right)\right)$&$18$\\ derivativedivides&$-\ln \left(\ln \left(\ln \left(7\right)\right)+i \pi -\ln \left(-\ln \left(7\right)\right)-x \right)+\ln \left(\ln \left(\ln \left(-\ln \left(7\right)\right)+x +225\right)\right)$&$33$\\ default&$-\ln \left(\ln \left(\ln \left(7\right)\right)+i \pi -\ln \left(-\ln \left(7\right)\right)-x \right)+\ln \left(\ln \left(\ln \left(-\ln \left(7\right)\right)+x +225\right)\right)$&$33$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(ln(ln(-ln(7))+x+225))","A"
4789,1,79,25,0.056000," ","int(((-4*x*exp(x)^2+(-4*x^2-4*x)*exp(x)-4*x^2)*ln(x)^3+((8*x^2-4*x-2)*exp(x)^2+(8*x^3+8*x^2-12*x)*exp(x)+12*x^3-10*x^2+2*x)*ln(x)^2+(-100*x*exp(x)^2+(-100*x^2-100*x)*exp(x)-100*x^2)*ln(x)+50*exp(x)^2+100*exp(x)*x+50*x^2)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-2 x^{2}-4 \,{\mathrm e}^{x} x -2 \,{\mathrm e}^{2 x}\right) \ln \left(x \right)+4 x^{3}+8 \,{\mathrm e}^{x} x^{2}+4 x \,{\mathrm e}^{2 x}-4 x^{2}-8 \,{\mathrm e}^{x} x -4 \,{\mathrm e}^{2 x}+2 x -\frac{50 \left({\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x +x^{2}\right)}{\ln \left(x \right)}$&$79$\\ \hline \end{longtable}"," ",0,"(-2*x^2-4*exp(x)*x-2*exp(2*x))*ln(x)+4*x^3+8*exp(x)*x^2+4*x*exp(2*x)-4*x^2-8*exp(x)*x-4*exp(2*x)+2*x-50*(exp(2*x)+2*exp(x)*x+x^2)/ln(x)","B"
4790,1,53,21,0.122000," ","int((x^2*ln(9*exp(x)^2)-4*ln(2*x)+2*x^3+4)/(x^3*ln(9*exp(x)^2)+4*x*ln(2*x)+81*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(2 x \right)+\ln \left(2 x^{3}+2 x^{2} \left(\ln \left({\mathrm e}^{x}\right)-x \right)+x^{2} \left(\ln \left(9 \,{\mathrm e}^{2 x}\right)-2 \ln \left({\mathrm e}^{x}\right)\right)+4 \ln \left(2 x \right)+81 x \right)$&$53$\\ risch&$\ln \left(x \right)+\ln \left(\ln \left({\mathrm e}^{x}\right)-\frac{i \left(x^{2} \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-2 x^{2} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+x^{2} \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}+4 i \ln \left(3\right) x^{2}+162 i x +8 i \ln \left(2 x \right)\right)}{4 x^{2}}\right)$&$93$\\ \hline \end{longtable}"," ",0,"-ln(2*x)+ln(2*x^3+2*x^2*(ln(exp(x))-x)+x^2*(ln(9*exp(x)^2)-2*ln(exp(x)))+4*ln(2*x)+81*x)","B"
4791,1,11,16,0.014000," ","int(exp(x)*(x-2)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x -3\right) {\mathrm e}^{x}-x$&$11$\\ default&$-x +{\mathrm e}^{x} x -3 \,{\mathrm e}^{x}$&$13$\\ norman&$-x +{\mathrm e}^{x} x -3 \,{\mathrm e}^{x}$&$13$\\ \hline \end{longtable}"," ",0,"(x-3)*exp(x)-x","A"
4792,1,12,14,0.051000," ","int((x*ln(x)+8*x^3-48*x^2+71*x+3)/(8*x^3-48*x^2+72*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right)}{8 \left(x -3\right)}+x$&$12$\\ norman&$\frac{x^{2}-\frac{\ln \left(x \right)}{8}-9}{x -3}$&$16$\\ default&$-\frac{\ln \left(x \right) x}{24 \left(x -3\right)}+x +\frac{\ln \left(x \right)}{24}$&$17$\\ \hline \end{longtable}"," ",0,"-1/8/(x-3)*ln(x)+x","A"
4793,1,28,20,0.064000," ","int((((18*x+3)*exp(-5*x-1/2)-3*x^2)*exp(x)+(-85*x-17)*exp(-5*x-1/2))/(3*exp(-5*x-1/2)^2-6*x*exp(-5*x-1/2)+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x}+\frac{{\mathrm e}^{-\frac{1}{2}} \left(3 \,{\mathrm e}^{x}-17\right)}{-3 x \,{\mathrm e}^{5 x}+3 \,{\mathrm e}^{-\frac{1}{2}}}$&$28$\\ \hline \end{longtable}"," ",0,"-exp(x)+1/3*exp(-1/2)*(3*exp(x)-17)/(-x*exp(5*x)+exp(-1/2))","A"
4794,1,28,17,0.087000," ","int(((2*x+1)*exp(x)^2*ln(x)+exp(x)^2)*ln(ln(2))+(2*x^2+8*x+3)*exp(x)^2*ln(x)+(3+x)*exp(x)^2-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2} {\mathrm e}^{2 x} \ln \left(x \right)+\left(\ln \left(\ln \left(2\right)\right)+3\right) x \,{\mathrm e}^{2 x} \ln \left(x \right)-x$&$28$\\ default&$-x +\ln \left(x \right) {\mathrm e}^{2 x} \ln \left(\ln \left(2\right)\right) x +x^{2} {\mathrm e}^{2 x} \ln \left(x \right)+3 x \,{\mathrm e}^{2 x} \ln \left(x \right)$&$35$\\ risch&$-x +\ln \left(x \right) {\mathrm e}^{2 x} \ln \left(\ln \left(2\right)\right) x +x^{2} {\mathrm e}^{2 x} \ln \left(x \right)+3 x \,{\mathrm e}^{2 x} \ln \left(x \right)$&$35$\\ \hline \end{longtable}"," ",0,"x^2*exp(x)^2*ln(x)+(ln(ln(2))+3)*x*exp(x)^2*ln(x)-x","A"
4795,1,15,14,0.082000," ","int((-9*exp(2)*x-45)/(16*x^5*exp(2)^2+240*x^4*exp(2)+900*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{3}{8 x^{2} \left(2 \,{\mathrm e}^{2} x +15\right)}$&$15$\\ norman&$\frac{3}{8 x^{2} \left(2 \,{\mathrm e}^{2} x +15\right)}$&$15$\\ risch&$\frac{3}{8 x^{2} \left(2 \,{\mathrm e}^{2} x +15\right)}$&$15$\\ \hline \end{longtable}"," ",0,"3/8/x^2/(2*exp(2)*x+15)","A"
4796,1,22,22,0.031000," ","int(1/5*(-6*x^2-12*x)*exp(x)+12/5*x*exp(5)-48/5*x+1/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{6 \,{\mathrm e}^{5}}{5}-\frac{24}{5}\right) x^{2}+\frac{x}{5}-\frac{6 \,{\mathrm e}^{x} x^{2}}{5}$&$22$\\ default&$\frac{x}{5}-\frac{24 x^{2}}{5}+\frac{6 x^{2} {\mathrm e}^{5}}{5}-\frac{6 \,{\mathrm e}^{x} x^{2}}{5}$&$24$\\ risch&$\frac{x}{5}-\frac{24 x^{2}}{5}+\frac{6 x^{2} {\mathrm e}^{5}}{5}-\frac{6 \,{\mathrm e}^{x} x^{2}}{5}$&$24$\\ \hline \end{longtable}"," ",0,"(6/5*exp(5)-24/5)*x^2+1/5*x-6/5*exp(x)*x^2","A"
4797,1,64,25,0.179000," ","int(((4*x^2*ln(2)^2+2*(-20*x^3-8*x^2)*ln(2)+100*x^4)*ln(x)^2+(40*x*ln(2)^2+2*(-210*x^2-80*x)*ln(2)+1100*x^3+40*x^2)*ln(x)+100*ln(2)^2+2*(-550*x-200)*ln(2)+3065*x^2)/((4*x^2*ln(2)^2-40*x^3*ln(2)+100*x^4)*ln(x)^2+(40*x*ln(2)^2-420*x^2*ln(2)+1100*x^3)*ln(x)+100*ln(2)^2-1100*x*ln(2)+3025*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x \ln \left(2\right)-25 x^{2}-4 \ln \left(2\right)}{5 \ln \left(2\right)-25 x}-\frac{20 x^{2}}{\left(\ln \left(2\right)-5 x \right) \left(2 x \ln \left(2\right) \ln \left(x \right)-10 x^{2} \ln \left(x \right)+10 \ln \left(2\right)-55 x \right)}$&$64$\\ norman&$\frac{\left(4-\ln \left(2\right)\right) x +\left(\frac{2 \ln \left(2\right)^{2}}{5}-\frac{8 \ln \left(2\right)}{5}\right) x \ln \left(x \right)-55 x^{2}-10 x^{3} \ln \left(x \right)+2 \ln \left(2\right)^{2}-8 \ln \left(2\right)}{2 x \ln \left(2\right) \ln \left(x \right)-10 x^{2} \ln \left(x \right)+10 \ln \left(2\right)-55 x}$&$72$\\ \hline \end{longtable}"," ",0,"1/5*(5*x*ln(2)-25*x^2-4*ln(2))/(ln(2)-5*x)-20*x^2/(ln(2)-5*x)/(2*x*ln(2)*ln(x)-10*x^2*ln(x)+10*ln(2)-55*x)","B"
4798,1,19,21,0.166000," ","int((2*(-3*x^2+18*x)*ln(2)-9*x^2+54*x+36)/(x^2-6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-6 \ln \left(2\right)-9\right) x^{2}-36}{x -3}$&$19$\\ gosper&$-\frac{3 \left(2 x^{2} \ln \left(2\right)+3 x^{2}+12\right)}{x -3}$&$22$\\ default&$-6 x \ln \left(2\right)-9 x -\frac{3 \left(18 \ln \left(2\right)+39\right)}{x -3}$&$23$\\ risch&$-6 x \ln \left(2\right)-9 x -\frac{117}{x -3}-\frac{54 \ln \left(2\right)}{x -3}$&$26$\\ meijerg&$\frac{4 x}{1-\frac{x}{3}}-3 \left(-6 \ln \left(2\right)-9\right) \left(-\frac{x \left(-x +6\right)}{9 \left(1-\frac{x}{3}\right)}-2 \ln \left(1-\frac{x}{3}\right)\right)-3 \left(-12 \ln \left(2\right)-18\right) \left(\frac{x}{3-x}+\ln \left(1-\frac{x}{3}\right)\right)$&$69$\\ \hline \end{longtable}"," ",0,"((-6*ln(2)-9)*x^2-36)/(x-3)","A"
4799,1,24,23,0.050000," ","int((((2*x+1)*exp(5)^2+(4*x^2+2*x)*exp(5)+2*x^3+x^2)*exp(x)^2*ln(x)+(-exp(5)^2+(14*x+8)*exp(5)+15*x^2+16*x)*exp(x)^2)/((exp(5)^2+2*x*exp(5)+x^2)*ln(x)^2+(16*exp(5)+16*x)*ln(x)+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{2 x} \left({\mathrm e}^{5}+x \right)}{{\mathrm e}^{5} \ln \left(x \right)+x \ln \left(x \right)+8}$&$24$\\ \hline \end{longtable}"," ",0,"x*exp(2*x)*(exp(5)+x)/(exp(5)*ln(x)+x*ln(x)+8)","A"
4800,1,30,21,0.160000," ","int(((x^2+2*x-5)*ln(3)+(x^2+2*x-5)*exp(4)+2*x^3+6*x^2+6*x-10)/(x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}+\left({\mathrm e}^{4}+\ln \left(3\right)+3\right) x^{2}+10+5 \,{\mathrm e}^{4}+5 \ln \left(3\right)}{x +1}$&$30$\\ default&$x^{2}+2 x +x \,{\mathrm e}^{4}+x \ln \left(3\right)-\frac{-12-6 \,{\mathrm e}^{4}-6 \ln \left(3\right)}{x +1}$&$33$\\ gosper&$\frac{x^{2} {\mathrm e}^{4}+x^{2} \ln \left(3\right)+x^{3}+3 x^{2}+5 \,{\mathrm e}^{4}+5 \ln \left(3\right)+10}{x +1}$&$37$\\ risch&$x \,{\mathrm e}^{4}+x \ln \left(3\right)+x^{2}+2 x +\frac{6 \,{\mathrm e}^{4}}{x +1}+\frac{6 \ln \left(3\right)}{x +1}+\frac{12}{x +1}$&$41$\\ meijerg&$\left({\mathrm e}^{4}+\ln \left(3\right)+6\right) \left(\frac{x \left(6+3 x \right)}{3 x +3}-2 \ln \left(x +1\right)\right)+\left(2 \,{\mathrm e}^{4}+2 \ln \left(3\right)+6\right) \left(-\frac{x}{x +1}+\ln \left(x +1\right)\right)-\frac{x \left(-2 x^{2}+6 x +12\right)}{2 \left(x +1\right)}+6 \ln \left(x +1\right)-\frac{5 \,{\mathrm e}^{4} x}{x +1}-\frac{5 \ln \left(3\right) x}{x +1}-\frac{10 x}{x +1}$&$105$\\ \hline \end{longtable}"," ",0,"(x^3+(exp(4)+ln(3)+3)*x^2+10+5*exp(4)+5*ln(3))/(x+1)","A"
4801,1,42,29,0.045000," ","int(-2*exp(x)^2+(24*x^5+100*x^4+16*x^3+51*x^2-30*x)*exp(5)-8*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{5} \left(4 x^{6}+20 x^{5}+4 x^{4}+17 x^{3}-15 x^{2}\right)-4 x^{2}-{\mathrm e}^{2 x}$&$42$\\ norman&$\left(-15 \,{\mathrm e}^{5}-4\right) x^{2}-{\mathrm e}^{2 x}+17 x^{3} {\mathrm e}^{5}+4 x^{4} {\mathrm e}^{5}+20 x^{5} {\mathrm e}^{5}+4 x^{6} {\mathrm e}^{5}$&$46$\\ risch&$-{\mathrm e}^{2 x}+4 x^{6} {\mathrm e}^{5}+20 x^{5} {\mathrm e}^{5}+4 x^{4} {\mathrm e}^{5}+17 x^{3} {\mathrm e}^{5}-15 x^{2} {\mathrm e}^{5}-4 x^{2}$&$48$\\ \hline \end{longtable}"," ",0,"exp(5)*(4*x^6+20*x^5+4*x^4+17*x^3-15*x^2)-4*x^2-exp(x)^2","A"
4802,1,12,13,0.040000," ","int((-54*x^2+54*x)*ln(5)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$27 \ln \left(5\right) x^{2} {\mathrm e}^{-2 x}$&$12$\\ default&$27 \ln \left(5\right) x^{2} {\mathrm e}^{-2 x}$&$12$\\ norman&$27 \ln \left(5\right) x^{2} {\mathrm e}^{-2 x}$&$12$\\ risch&$27 \ln \left(5\right) x^{2} {\mathrm e}^{-2 x}$&$12$\\ meijerg&$-\frac{27 \ln \left(5\right) \left(2-\frac{\left(12 x^{2}+12 x +6\right) {\mathrm e}^{-2 x}}{3}\right)}{4}+\frac{27 \ln \left(5\right) \left(1-\frac{\left(4 x +2\right) {\mathrm e}^{-2 x}}{2}\right)}{2}$&$41$\\ \hline \end{longtable}"," ",0,"27*ln(5)*x^2/exp(x)^2","A"
4803,1,31,27,0.164000," ","int(((5*x^2-125)*exp((x^2+10*x+25)/x)+6*x^2*ln(2)-30*x^2)/(5*x^2*exp((x^2+10*x+25)/x)+(6*x^3+15*x^2)*ln(2)-30*x^3-75*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(6 x \ln \left(2\right)+5 \,{\mathrm e}^{\frac{x^{2}+10 x +25}{x}}+15 \ln \left(2\right)-30 x -75\right)$&$31$\\ risch&$x +\frac{25}{x}-\frac{x^{2}+10 x +25}{x}+\ln \left(\frac{6 x \ln \left(2\right)}{5}+3 \ln \left(2\right)-6 x +{\mathrm e}^{\frac{\left(5+x \right)^{2}}{x}}-15\right)$&$46$\\ \hline \end{longtable}"," ",0,"ln(6*x*ln(2)+5*exp((x^2+10*x+25)/x)+15*ln(2)-30*x-75)","A"
4804,1,11,19,0.043000," ","int(exp(-ln(3*exp(5))+x)+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x -5}}{3}+x^{2}$&$11$\\ default&$x^{2}+{\mathrm e}^{-\ln \left(3 \,{\mathrm e}^{5}\right)+x}$&$15$\\ norman&$x^{2}+{\mathrm e}^{-\ln \left(3 \,{\mathrm e}^{5}\right)+x}$&$15$\\ derivativedivides&$\left(-\ln \left(3 \,{\mathrm e}^{5}\right)+x \right)^{2}+2 \ln \left(3 \,{\mathrm e}^{5}\right) \left(-\ln \left(3 \,{\mathrm e}^{5}\right)+x \right)+{\mathrm e}^{-\ln \left(3 \,{\mathrm e}^{5}\right)+x}$&$39$\\ \hline \end{longtable}"," ",0,"1/3*exp(x-5)+x^2","A"
4805,1,14,20,0.093000," ","int(((-112*x+112)*exp(1/x)-336*x^3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-112 x^{3}-112 x \,{\mathrm e}^{\frac{1}{x}}$&$14$\\ default&$-112 x^{3}-112 x \,{\mathrm e}^{\frac{1}{x}}$&$14$\\ norman&$-112 x^{3}-112 x \,{\mathrm e}^{\frac{1}{x}}$&$14$\\ risch&$-112 x^{3}-112 x \,{\mathrm e}^{\frac{1}{x}}$&$14$\\ \hline \end{longtable}"," ",0,"-112*x^3-112*x*exp(1/x)","A"
4806,1,36,25,0.088000," ","int(((-4*x^2-x-1)*exp(x)*exp(x^2)^2+((-2*x-1)*exp(1/exp(3))+8*x+4)*exp(x)*exp(x^2))/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-1} \left(4 \,{\mathrm e}^{x^{2}+x}-{\mathrm e}^{x +x^{2}+{\mathrm e}^{-3}}-x \,{\mathrm e}^{2 x^{2}+x}\right)$&$36$\\ norman&$-x \,{\mathrm e}^{-1} {\mathrm e}^{x} {\mathrm e}^{2 x^{2}}-{\mathrm e}^{-1} \left({\mathrm e}^{{\mathrm e}^{-3}}-4\right) {\mathrm e}^{x} {\mathrm e}^{x^{2}}$&$36$\\ risch&$-x \,{\mathrm e}^{\left(x +1\right) \left(2 x -1\right)}-{\mathrm e}^{x^{2}+x -1} {\mathrm e}^{{\mathrm e}^{-3}}+4 \,{\mathrm e}^{x^{2}+x -1}$&$36$\\ \hline \end{longtable}"," ",0,"1/exp(1)*(4*exp(x^2+x)-exp(x+x^2+exp(-3))-x*exp(2*x^2+x))","A"
4807,1,129,37,0.270000," ","int(((2*x^2+3*x+2)*ln(x^2/(x+1))^3+(12*x^3+12*x^2+3*x-6)*ln(x^2/(x+1))^2+(24*x^4+12*x^3-6*x^2-15*x+6)*ln(x^2/(x+1))+16*x^5-8*x^3-8*x^2+9*x-2)*exp(1/16*ln(x^2/(x+1))^4+1/16*(8*x-4)*ln(x^2/(x+1))^3+1/16*(24*x^2-24*x+6)*ln(x^2/(x+1))^2+1/16*(32*x^3-48*x^2+24*x-4)*ln(x^2/(x+1))+x^4-2*x^3+3/2*x^2-1/2*x+1/16)/(4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{x^{2}}{x +1}\right)^{\frac{\left(2 x -1\right)^{3}}{4}} {\mathrm e}^{\frac{\ln \left(\frac{x^{2}}{x +1}\right)^{4}}{16}+\frac{\ln \left(\frac{x^{2}}{x +1}\right)^{3} x}{2}-\frac{\ln \left(\frac{x^{2}}{x +1}\right)^{3}}{4}+\frac{3 \ln \left(\frac{x^{2}}{x +1}\right)^{2} x^{2}}{2}-\frac{3 \ln \left(\frac{x^{2}}{x +1}\right)^{2} x}{2}+\frac{3 \ln \left(\frac{x^{2}}{x +1}\right)^{2}}{8}+\frac{1}{16}+x^{4}-2 x^{3}+\frac{3 x^{2}}{2}-\frac{x}{2}}$&$129$\\ \hline \end{longtable}"," ",0,"(x^2/(x+1))^(1/4*(2*x-1)^3)*exp(1/16*ln(x^2/(x+1))^4+1/2*ln(x^2/(x+1))^3*x-1/4*ln(x^2/(x+1))^3+3/2*ln(x^2/(x+1))^2*x^2-3/2*ln(x^2/(x+1))^2*x+3/8*ln(x^2/(x+1))^2+1/16+x^4-2*x^3+3/2*x^2-1/2*x)","B"
4808,1,28,26,0.212000," ","int(((-576*x+2880)*ln(x^3-5*x^2)+(192*x-960)*ln(2)-36*x^3+180*x^2+1728*x-5760)/((2304*x-11520)*ln(x^3-5*x^2)^2+((-1536*x+7680)*ln(2)-288*x^3+1440*x^2)*ln(x^3-5*x^2)+(256*x-1280)*ln(2)^2+(96*x^3-480*x^2)*ln(2)+9*x^5-45*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{12 x}{3 x^{2}+16 \ln \left(2\right)-48 \ln \left(x^{3}-5 x^{2}\right)}$&$28$\\ risch&$\frac{12 x}{3 x^{2}+16 \ln \left(2\right)-48 \ln \left(x^{3}-5 x^{2}\right)}$&$28$\\ \hline \end{longtable}"," ",0,"12*x/(3*x^2+16*ln(2)-48*ln(x^3-5*x^2))","A"
4809,1,83,26,0.099000," ","int((4*x^5+28*x^4+28*x^3-20*x^2-12*x+4)*exp(2)*exp(x+1)*ln(x)+(-4*x^6-32*x^5-32*x^4+32*x^3+16*x^2-16*x+4)*exp(2)*exp(x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(x \right) x \left(x^{4}+2 x^{3}-x^{2}-2 x +1\right) {\mathrm e}^{3+x}-4 \left(x^{4}-2 x^{3}+5 x^{2}-12 x +13\right) {\mathrm e}^{3+x}+\left(-4 x^{6}-8 x^{5}+8 x^{4}+16 x^{2}-48 x +52\right) {\mathrm e}^{3+x}$&$83$\\ \hline \end{longtable}"," ",0,"4*ln(x)*x*(x^4+2*x^3-x^2-2*x+1)*exp(3+x)-4*(x^4-2*x^3+5*x^2-12*x+13)*exp(3+x)+(-4*x^6-8*x^5+8*x^4+16*x^2-48*x+52)*exp(3+x)","B"
4810,1,529,52,0.331000," ","int((((-2*x^5*exp(x)-8*x^2)*ln(x)+2*x^6*exp(x)+2*x^5-2*x^4+8*x^3)*ln((x-ln(x))*exp(exp(x)+exp(4)^2))+(4*exp(x)*x^3+9*x^5+16)*ln(x)-4*exp(x)*x^4-9*x^6-4*x^3+4*x^2-16*x)/(9*x^5*ln(x)-9*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(\ln \left(x -\ln \left(x \right)\right) x^{2}+{\mathrm e}^{x} x^{2}-2\right) \ln \left({\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right)}{9 x^{2}}+\frac{2 i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right) {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right) {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right)^{2} {\mathrm e}^{x} x^{4}+i \pi  \ln \left(\ln \left(x \right)-x \right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right) {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right) x^{4}+i \pi  \ln \left(\ln \left(x \right)-x \right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right) {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right)^{2} x^{4}-i \pi  \ln \left(\ln \left(x \right)-x \right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right) {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right)^{3} x^{4}-2 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right) {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right)+2 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right) {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right)^{3}-i \pi  \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right) {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right)^{3} {\mathrm e}^{x} x^{4}-2 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right) {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right) {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right)^{2} {\mathrm e}^{x} x^{4}+i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right) {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right) {\mathrm e}^{x} x^{4}-i \pi  \ln \left(\ln \left(x \right)-x \right) \mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right) {\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{8}}\right)^{2} x^{4}+{\mathrm e}^{2 x} x^{4}-\ln \left(x -\ln \left(x \right)\right)^{2} x^{4}+9 x^{5}+4 \ln \left(x -\ln \left(x \right)\right) x^{2}-4}{9 x^{4}}$&$529$\\ \hline \end{longtable}"," ",0,"-2/9*(ln(x-ln(x))*x^2+exp(x)*x^2-2)/x^2*ln(exp(exp(x)+exp(8)))+1/9*(2*I*Pi*x^2*csgn(I*exp(exp(x)+exp(8)))*csgn(I*(ln(x)-x)*exp(exp(x)+exp(8)))^2-I*Pi*csgn(I*exp(exp(x)+exp(8)))*csgn(I*(ln(x)-x)*exp(exp(x)+exp(8)))^2*exp(x)*x^4+I*Pi*ln(ln(x)-x)*csgn(I*(ln(x)-x))*csgn(I*exp(exp(x)+exp(8)))*csgn(I*(ln(x)-x)*exp(exp(x)+exp(8)))*x^4+I*Pi*ln(ln(x)-x)*csgn(I*(ln(x)-x))*csgn(I*(ln(x)-x)*exp(exp(x)+exp(8)))^2*x^4-I*Pi*ln(ln(x)-x)*csgn(I*(ln(x)-x)*exp(exp(x)+exp(8)))^3*x^4-2*I*Pi*x^2*csgn(I*(ln(x)-x))*csgn(I*exp(exp(x)+exp(8)))*csgn(I*(ln(x)-x)*exp(exp(x)+exp(8)))+2*I*Pi*x^2*csgn(I*(ln(x)-x)*exp(exp(x)+exp(8)))^3-I*Pi*csgn(I*(ln(x)-x)*exp(exp(x)+exp(8)))^3*exp(x)*x^4-2*I*Pi*x^2*csgn(I*(ln(x)-x))*csgn(I*(ln(x)-x)*exp(exp(x)+exp(8)))^2+I*Pi*csgn(I*(ln(x)-x))*csgn(I*(ln(x)-x)*exp(exp(x)+exp(8)))^2*exp(x)*x^4+I*Pi*csgn(I*(ln(x)-x))*csgn(I*exp(exp(x)+exp(8)))*csgn(I*(ln(x)-x)*exp(exp(x)+exp(8)))*exp(x)*x^4-I*Pi*ln(ln(x)-x)*csgn(I*exp(exp(x)+exp(8)))*csgn(I*(ln(x)-x)*exp(exp(x)+exp(8)))^2*x^4+exp(2*x)*x^4-ln(x-ln(x))^2*x^4+9*x^5+4*ln(x-ln(x))*x^2-4)/x^4","C"
4811,1,22,18,0.222000," ","int(1/3*((-16*exp(15)+16*x)*ln(2)^2+(48*exp(15)-48*x)*ln(2)-36*exp(15)+36*x)*exp(exp(15)/x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{16 \ln \left(2\right)^{2}}{3}-16 \ln \left(2\right)+12\right) x \,{\mathrm e}^{\frac{{\mathrm e}^{15}}{x}}$&$22$\\ gosper&$\frac{4 x \left(4 \ln \left(2\right)^{2}-12 \ln \left(2\right)+9\right) {\mathrm e}^{\frac{{\mathrm e}^{15}}{x}}}{3}$&$23$\\ risch&$\frac{4 x \left(4 \ln \left(2\right)^{2}-12 \ln \left(2\right)+9\right) {\mathrm e}^{\frac{{\mathrm e}^{15}}{x}}}{3}$&$23$\\ derivativedivides&$-12 \,{\mathrm e}^{15} \left(-x \,{\mathrm e}^{-15} {\mathrm e}^{\frac{{\mathrm e}^{15}}{x}}-\expIntegralEi \left(1, -\frac{{\mathrm e}^{15}}{x}\right)\right)-12 \,{\mathrm e}^{15} \expIntegralEi \left(1, -\frac{{\mathrm e}^{15}}{x}\right)-16 \,{\mathrm e}^{\frac{{\mathrm e}^{15}}{x}} x \ln \left(2\right)+\frac{16 \,{\mathrm e}^{\frac{{\mathrm e}^{15}}{x}} x \ln \left(2\right)^{2}}{3}$&$71$\\ default&$-12 \,{\mathrm e}^{15} \left(-x \,{\mathrm e}^{-15} {\mathrm e}^{\frac{{\mathrm e}^{15}}{x}}-\expIntegralEi \left(1, -\frac{{\mathrm e}^{15}}{x}\right)\right)-12 \,{\mathrm e}^{15} \expIntegralEi \left(1, -\frac{{\mathrm e}^{15}}{x}\right)-16 \,{\mathrm e}^{\frac{{\mathrm e}^{15}}{x}} x \ln \left(2\right)+\frac{16 \,{\mathrm e}^{\frac{{\mathrm e}^{15}}{x}} x \ln \left(2\right)^{2}}{3}$&$71$\\ meijerg&$\left(\frac{16 \ln \left(2\right)^{2}}{3}-16 \ln \left(2\right)+12\right) {\mathrm e}^{15} \left(-\frac{x \,{\mathrm e}^{-15} \left(2+\frac{2 \,{\mathrm e}^{15}}{x}\right)}{2}+x \,{\mathrm e}^{-15+\frac{{\mathrm e}^{15}}{x}}+\ln \left(-\frac{{\mathrm e}^{15}}{x}\right)+\expIntegralEi \left(1, -\frac{{\mathrm e}^{15}}{x}\right)-14+\ln \left(x \right)-i \pi +x \,{\mathrm e}^{-15}\right)+\frac{16 \ln \left(2\right)^{2} {\mathrm e}^{15} \left(-\ln \left(-\frac{{\mathrm e}^{15}}{x}\right)-\expIntegralEi \left(1, -\frac{{\mathrm e}^{15}}{x}\right)-\ln \left(x \right)+15+i \pi \right)}{3}-16 \ln \left(2\right) {\mathrm e}^{15} \left(-\ln \left(-\frac{{\mathrm e}^{15}}{x}\right)-\expIntegralEi \left(1, -\frac{{\mathrm e}^{15}}{x}\right)-\ln \left(x \right)+15+i \pi \right)+12 \,{\mathrm e}^{15} \left(-\ln \left(-\frac{{\mathrm e}^{15}}{x}\right)-\expIntegralEi \left(1, -\frac{{\mathrm e}^{15}}{x}\right)-\ln \left(x \right)+15+i \pi \right)$&$182$\\ \hline \end{longtable}"," ",0,"(16/3*ln(2)^2-16*ln(2)+12)*x*exp(exp(15)/x)","A"
4812,1,25,23,0.537000," ","int((2100*x^2*ln(2)+2*x-4)*exp((2*(525*x^2+450*x)*ln(2)+2)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{\frac{2100 x^{2} \ln \left(2\right)+1800 x \ln \left(2\right)+4}{x}}$&$25$\\ gosper&$x^{2} {\mathrm e}^{\frac{2100 x^{2} \ln \left(2\right)+1800 x \ln \left(2\right)+4}{x}}$&$27$\\ norman&$x^{2} {\mathrm e}^{\frac{4 \left(525 x^{2}+450 x \right) \ln \left(2\right)+4}{x}}$&$27$\\ \hline \end{longtable}"," ",0,"x^2*exp(4*(525*x^2*ln(2)+450*x*ln(2)+1)/x)","A"
4813,1,20,19,0.069000," ","int((-ln(5)^2*exp(exp(1))+x^2*ln(5)^2-exp(4))/x^2/ln(5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{{\mathrm e}^{{\mathrm e}}}{x}+\frac{{\mathrm e}^{4}}{\ln \left(5\right)^{2} x}$&$20$\\ gosper&$\frac{x^{2} \ln \left(5\right)^{2}+\ln \left(5\right)^{2} {\mathrm e}^{{\mathrm e}}+{\mathrm e}^{4}}{\ln \left(5\right)^{2} x}$&$28$\\ default&$\frac{x \ln \left(5\right)^{2}-\frac{-\ln \left(5\right)^{2} {\mathrm e}^{{\mathrm e}}-{\mathrm e}^{4}}{x}}{\ln \left(5\right)^{2}}$&$32$\\ norman&$\frac{x^{2} \ln \left(5\right)+\frac{\ln \left(5\right)^{2} {\mathrm e}^{{\mathrm e}}+{\mathrm e}^{4}}{\ln \left(5\right)}}{x \ln \left(5\right)}$&$32$\\ \hline \end{longtable}"," ",0,"x+exp(exp(1))/x+1/ln(5)^2/x*exp(4)","A"
4814,1,27,26,0.186000," ","int(((2*x^3+3*x^2-1)*exp(-x+4)^2-ln(7)+x^2+2*x+2)/(x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\ln \left(7\right)}{x +1}-\frac{1}{x +1}-x \,{\mathrm e}^{-2 x +8}$&$27$\\ norman&$\frac{x^{2}-x \,{\mathrm e}^{-2 x +8}-x^{2} {\mathrm e}^{-2 x +8}-2+\ln \left(7\right)}{x +1}$&$38$\\ derivativedivides&$x -4+\frac{1}{-x -1}-\frac{\ln \left(7\right)}{-x -1}-4 \,{\mathrm e}^{-2 x +8}+{\mathrm e}^{-2 x +8} \left(-x +4\right)$&$46$\\ default&$x -4+\frac{1}{-x -1}-\frac{\ln \left(7\right)}{-x -1}-4 \,{\mathrm e}^{-2 x +8}+{\mathrm e}^{-2 x +8} \left(-x +4\right)$&$46$\\ \hline \end{longtable}"," ",0,"x+1/(x+1)*ln(7)-1/(x+1)-x*exp(-2*x+8)","A"
4815,1,16,17,0.054000," ","int((4*x^3-32*x^2+56*x-32)*exp(x)/(x^5-12*x^4+48*x^3-64*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{x} \left(x -2\right)}{\left(x -4\right)^{2} x}$&$16$\\ norman&$\frac{4 \,{\mathrm e}^{x} x -8 \,{\mathrm e}^{x}}{x \left(x -4\right)^{2}}$&$20$\\ gosper&$\frac{4 \left(x -2\right) {\mathrm e}^{x}}{x \left(x^{2}-8 x +16\right)}$&$21$\\ default&$\frac{{\mathrm e}^{x}}{2 x -8}+\frac{2 \,{\mathrm e}^{x}}{\left(x -4\right)^{2}}-\frac{{\mathrm e}^{x}}{2 x}$&$27$\\ \hline \end{longtable}"," ",0,"4/(x-4)^2*exp(x)*(x-2)/x","A"
4816,1,37,20,0.283000," ","int((((2*x^2-4*x)*exp(1)*exp(3)+(-2*x^2+4*x)*exp(1))*exp(x)^2+((-8*x^2+32*x)*exp(1)*exp(3)+(-2*x^4+4*x^3)*exp(1)^2+(8*x^2-32*x)*exp(1))*exp(x)-64*x*exp(1)*exp(3)-16*x^3*exp(1)^2+64*x*exp(1))/(exp(x)^3-12*exp(x)^2+48*exp(x)-64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e} x^{2} \left(2 \,{\mathrm e}^{3+x}-8 \,{\mathrm e}^{3}-x^{2} {\mathrm e}-2 \,{\mathrm e}^{x}+8\right)}{\left({\mathrm e}^{x}-4\right)^{2}}$&$37$\\ norman&$\frac{x^{4} {\mathrm e}^{2}+\left(8 \,{\mathrm e} \,{\mathrm e}^{3}-8 \,{\mathrm e}\right) x^{2}+\left(-2 \,{\mathrm e} \,{\mathrm e}^{3}+2 \,{\mathrm e}\right) x^{2} {\mathrm e}^{x}}{\left({\mathrm e}^{x}-4\right)^{2}}$&$49$\\ \hline \end{longtable}"," ",0,"-exp(1)*x^2*(2*exp(3+x)-8*exp(3)-x^2*exp(1)-2*exp(x)+8)/(exp(x)-4)^2","A"
4817,1,36,20,0.219000," ","int((((2*x+1)*exp(x)^2+(-4*exp(3)+8*x+4)*exp(x)+8*x+4)*exp(((x^2+x)*exp(x)+4*exp(3)+2*x^2+2*x)/(exp(x)+2))+12*exp(x)^2+48*exp(x)+48)/(exp(x)^2+4*exp(x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$12 x +{\mathrm e}^{\frac{{\mathrm e}^{x} x^{2}+{\mathrm e}^{x} x +2 x^{2}+4 \,{\mathrm e}^{3}+2 x}{{\mathrm e}^{x}+2}}$&$36$\\ norman&$\frac{{\mathrm e}^{x} {\mathrm e}^{\frac{\left(x^{2}+x \right) {\mathrm e}^{x}+4 \,{\mathrm e}^{3}+2 x^{2}+2 x}{{\mathrm e}^{x}+2}}+24 x +12 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{\frac{\left(x^{2}+x \right) {\mathrm e}^{x}+4 \,{\mathrm e}^{3}+2 x^{2}+2 x}{{\mathrm e}^{x}+2}}}{{\mathrm e}^{x}+2}$&$80$\\ \hline \end{longtable}"," ",0,"12*x+exp((exp(x)*x^2+exp(x)*x+2*x^2+4*exp(3)+2*x)/(exp(x)+2))","A"
4818,1,4,12,0.006000," ","int(2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{2}$&$4$\\ default&$x^{2}$&$4$\\ norman&$x^{2}$&$4$\\ risch&$x^{2}$&$4$\\ \hline \end{longtable}"," ",0,"x^2","A"
4819,1,40,26,0.106000," ","int((((-9*x-27)*exp(16-x)+2*x^2+15*x+27)*ln(3+x)*ln(ln(3+x))^3+(-12*x^2-36*x)*exp(3)*ln(3+x)*ln(ln(3+x))^2+((18*x^2+54*x)*exp(3)^2*ln(3+x)+6*x^2*exp(3))*ln(ln(3+x))-18*x^2*exp(3)^2)/(9*x+27)/ln(3+x)/ln(ln(3+x))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{9}+x +{\mathrm e}^{16-x}+\frac{x^{2} {\mathrm e}^{3} \left(3 \,{\mathrm e}^{3}-2 \ln \left(\ln \left(3+x \right)\right)\right)}{3 \ln \left(\ln \left(3+x \right)\right)^{2}}$&$40$\\ \hline \end{longtable}"," ",0,"1/9*x^2+x+exp(16-x)+1/3*x^2*exp(3)*(3*exp(3)-2*ln(ln(3+x)))/ln(ln(3+x))^2","A"
4820,1,13,25,0.020000," ","int(1/128*exp(x)^2-9*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x^{3}+\frac{{\mathrm e}^{2 x}}{256}$&$13$\\ norman&$-3 x^{3}+\frac{{\mathrm e}^{2 x}}{256}$&$13$\\ risch&$-3 x^{3}+\frac{{\mathrm e}^{2 x}}{256}$&$13$\\ \hline \end{longtable}"," ",0,"-3*x^3+1/256*exp(x)^2","A"
4821,1,16,16,0.125000," ","int((4*x*ln(ln(2))*exp(2*x*ln(ln(2)))-1)*exp(exp(2*x*ln(ln(2))))^2/x^2/exp(18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-18+2 \ln \left(2\right)^{2 x}}}{x}$&$16$\\ norman&$\frac{{\mathrm e}^{-18} {\mathrm e}^{2 \,{\mathrm e}^{2 x \ln \left(\ln \left(2\right)\right)}}}{x}$&$19$\\ \hline \end{longtable}"," ",0,"1/x*exp(-18+2*ln(2)^(2*x))","A"
4822,1,18,19,0.030000," ","int(16*(-20*x-4)*exp(2)^4*ln(2)^4/(x*ln(x)^5+(25*x^2+25*x)*ln(x)^4+(250*x^3+500*x^2+250*x)*ln(x)^3+(1250*x^4+3750*x^3+3750*x^2+1250*x)*ln(x)^2+(3125*x^5+12500*x^4+18750*x^3+12500*x^2+3125*x)*ln(x)+3125*x^6+15625*x^5+31250*x^4+31250*x^3+15625*x^2+3125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 \ln \left(2\right)^{4} {\mathrm e}^{8}}{\left(5+\ln \left(x \right)+5 x \right)^{4}}$&$18$\\ \hline \end{longtable}"," ",0,"16*ln(2)^4*exp(8)/(5+ln(x)+5*x)^4","A"
4823,1,40,31,1.172000," ","int(((4*ln(5/x)^2-68*ln(5/x)+288)*ln(x)^2+((4*x-4)*ln(5/x)^2+(-52*x+72)*ln(5/x)+156*x-324)*ln(x)-4*x*ln(5/x)^2+(4*x^2+60*x)*ln(5/x)-22*x^2-216*x)/x^2/exp(((ln(5/x)^2-18*ln(5/x)+81)*ln(x)^2+(2*x*ln(5/x)^2-30*x*ln(5/x)+108*x)*ln(x)+x^2*ln(5/x)^2-12*x^2*ln(5/x)+36*x^2)/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \,{\mathrm e}^{-\frac{\left(-\ln \left(x \right)^{2}+\ln \left(5\right) \ln \left(x \right)-x \ln \left(x \right)+x \ln \left(5\right)-9 \ln \left(x \right)-6 x \right)^{2}}{x^{2}}}$&$40$\\ \hline \end{longtable}"," ",0,"2*x*exp(-(-ln(x)^2+ln(5)*ln(x)-x*ln(x)+x*ln(5)-9*ln(x)-6*x)^2/x^2)","A"
4824,1,47,28,0.666000," ","int((((-ln(1/2*x)+1)*ln(x)+ln(1/2*x))*ln(ln(2*ln(2)))^2+((4*x*ln(1/2*x)-4*x)*ln(x)+((1-x)*exp(x)-4*x)*ln(1/2*x)-exp(x))*ln(ln(2*ln(2)))+(-4*x^2*ln(1/2*x)+4*x^2)*ln(x)+((2*x^2-4*x)*exp(x)+4*x^2)*ln(1/2*x)+2*exp(x)*x)/(x^2*ln(ln(2*ln(2)))^2-4*x^3*ln(ln(2*ln(2)))+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{x} \ln \left(2\right)-{\mathrm e}^{x} \ln \left(x \right)}{x \left(\ln \left(\ln \left(2 \ln \left(2\right)\right)\right)-2 x \right)}-\frac{\ln \left(2\right) \ln \left(x \right)}{x}+\frac{\ln \left(x \right)^{2}}{x}$&$47$\\ \hline \end{longtable}"," ",0,"(exp(x)*ln(2)-exp(x)*ln(x))/x/(ln(ln(2*ln(2)))-2*x)-ln(2)/x*ln(x)+ln(x)^2/x","A"
4825,1,52,29,0.122000," ","int(((-3*x^4+5*x^3+4*x^2-4*x)*ln(-x-1)+(2*x^2-2)*exp(3)+4*x^5-9*x^4+4*x^2)/(x^2+x)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-3} \left(-x^{3}+4 x^{2}-4 x \right) \ln \left(-x -1\right)+{\mathrm e}^{-3} x^{4}-4 \,{\mathrm e}^{-3} x^{3}+2 x +4 x^{2} {\mathrm e}^{-3}-2 \ln \left(x \right)$&$52$\\ norman&${\mathrm e}^{-3} x^{4}+2 x +4 x^{2} {\mathrm e}^{-3}-4 \,{\mathrm e}^{-3} x^{3}-4 x \,{\mathrm e}^{-3} \ln \left(-x -1\right)+4 x^{2} {\mathrm e}^{-3} \ln \left(-x -1\right)-{\mathrm e}^{-3} x^{3} \ln \left(-x -1\right)-2 \ln \left(x \right)$&$78$\\ default&${\mathrm e}^{-3} \left(\ln \left(-x -1\right) \left(-x -1\right)^{3}+8 \left(-x -1\right)^{3}+7 \ln \left(-x -1\right) \left(-x -1\right)^{2}+22 \left(-x -1\right)^{2}+15 \ln \left(-x -1\right) \left(-x -1\right)-24 x -24+\left(-x -1\right)^{4}-2 \left(-x -1\right) {\mathrm e}^{3}-2 \,{\mathrm e}^{3} \ln \left(-x \right)+9 \ln \left(-x -1\right)\right)$&$103$\\ derivativedivides&$-{\mathrm e}^{-3} \left(-\ln \left(-x -1\right) \left(-x -1\right)^{3}-8 \left(-x -1\right)^{3}-7 \ln \left(-x -1\right) \left(-x -1\right)^{2}-22 \left(-x -1\right)^{2}-15 \ln \left(-x -1\right) \left(-x -1\right)+24 x +24-\left(-x -1\right)^{4}+2 \left(-x -1\right) {\mathrm e}^{3}+2 \,{\mathrm e}^{3} \ln \left(-x \right)-9 \ln \left(-x -1\right)\right)$&$107$\\ \hline \end{longtable}"," ",0,"exp(-3)*(-x^3+4*x^2-4*x)*ln(-x-1)+exp(-3)*x^4-4*exp(-3)*x^3+2*x+4*x^2*exp(-3)-2*ln(x)","A"
4826,1,24,21,0.058000," ","int((((3-x)*ln(1/4*x^2-3/2*x+9/4)-x^3+3*x^2)*ln(ln(1/4*x^2-3/2*x+9/4)+x^2)-2*x^2+6*x-2)/((x-3)*ln(1/4*x^2-3/2*x+9/4)+x^3-3*x^2)/ln(ln(1/4*x^2-3/2*x+9/4)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -\ln \left(\ln \left(\ln \left(\frac{1}{4} x^{2}-\frac{3}{2} x +\frac{9}{4}\right)+x^{2}\right)\right)$&$24$\\ \hline \end{longtable}"," ",0,"-x-ln(ln(ln(1/4*x^2-3/2*x+9/4)+x^2))","A"
4827,1,39,46,0.032000," ","int(((144*x^6-4*x^3)*ln(x)^3+(-432*x^8+12*x^5+72*x^3)*ln(x)^2+(432*x^10-12*x^7-72*x^3-72)*ln(x)-144*x^12+4*x^9-72*x^7+72*x^5+216*x^2-72)/(x^3*ln(x)^3-3*x^5*ln(x)^2+3*x^7*ln(x)-x^9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$36 x^{4}-4 x -\frac{36 \left(2 x^{5}-2 x^{3} \ln \left(x \right)-1\right)}{x^{2} \left(x^{2}-\ln \left(x \right)\right)^{2}}$&$39$\\ \hline \end{longtable}"," ",0,"36*x^4-4*x-36*(2*x^5-2*x^3*ln(x)-1)/x^2/(x^2-ln(x))^2","A"
4828,1,18,21,0.039000," ","int(((ln(x)+2)*exp(x*ln(x)+x)+1)*exp(exp(x*ln(x)+x)+ln(-4/(5*ln(3)+5))+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \,{\mathrm e}^{x^{x} {\mathrm e}^{x}+x}}{5 \left(\ln \left(3\right)+1\right)}$&$18$\\ derivativedivides&${\mathrm e}^{{\mathrm e}^{x \ln \left(x \right)+x}+\ln \left(-\frac{4}{5 \ln \left(3\right)+5}\right)+x}$&$22$\\ default&${\mathrm e}^{{\mathrm e}^{x \ln \left(x \right)+x}+\ln \left(-\frac{4}{5 \ln \left(3\right)+5}\right)+x}$&$22$\\ norman&${\mathrm e}^{{\mathrm e}^{x \ln \left(x \right)+x}+\ln \left(-\frac{4}{5 \ln \left(3\right)+5}\right)+x}$&$22$\\ \hline \end{longtable}"," ",0,"-4/5/(ln(3)+1)*exp(x^x*exp(x)+x)","A"
4829,1,5,4,0.017000," ","int(-exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{x}$&$5$\\ derivativedivides&$-{\mathrm e}^{x}$&$5$\\ default&$-{\mathrm e}^{x}$&$5$\\ norman&$-{\mathrm e}^{x}$&$5$\\ risch&$-{\mathrm e}^{x}$&$5$\\ meijerg&$1-{\mathrm e}^{x}$&$7$\\ \hline \end{longtable}"," ",0,"-exp(x)","A"
4830,1,9,10,0.010000," ","int(1/30*exp(10)+1/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(\frac{{\mathrm e}^{10}}{30}+\frac{1}{5}\right) x$&$9$\\ norman&$\left(\frac{{\mathrm e}^{10}}{30}+\frac{1}{5}\right) x$&$9$\\ risch&$\frac{x \,{\mathrm e}^{10}}{30}+\frac{x}{5}$&$10$\\ \hline \end{longtable}"," ",0,"(1/30*exp(10)+1/5)*x","A"
4831,1,145,29,0.139000," ","int(((16*x*exp(1/2*(2+x)/x)^2+16*x^2)*ln(x*exp(1/2*(2+x)/x)^2+x^2)+(-16*x-32)*exp(1/2*(2+x)/x)^2)/((x^3*exp(1/2*(2+x)/x)^2+x^4)*ln(x*exp(1/2*(2+x)/x)^2+x^2)^2+(-4*x^3*exp(1/2*(2+x)/x)^2-4*x^4)*ln(x*exp(1/2*(2+x)/x)^2+x^2)+4*x^3*exp(1/2*(2+x)/x)^2+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{32 i}{x \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{\frac{2+x}{x}}+x \right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{\frac{2+x}{x}}+x \right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left({\mathrm e}^{\frac{2+x}{x}}+x \right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{\frac{2+x}{x}}+x \right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{\frac{2+x}{x}}+x \right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{\frac{2+x}{x}}+x \right)\right)^{3}+2 i \ln \left(x \right)+2 i \ln \left({\mathrm e}^{\frac{2+x}{x}}+x \right)-4 i\right)}$&$145$\\ \hline \end{longtable}"," ",0,"-32*I/x/(Pi*csgn(I*x)*csgn(I*(exp((2+x)/x)+x))*csgn(I*x*(exp((2+x)/x)+x))-Pi*csgn(I*x)*csgn(I*x*(exp((2+x)/x)+x))^2-Pi*csgn(I*(exp((2+x)/x)+x))*csgn(I*x*(exp((2+x)/x)+x))^2+Pi*csgn(I*x*(exp((2+x)/x)+x))^3+2*I*ln(x)+2*I*ln(exp((2+x)/x)+x)-4*I)","C"
4832,1,32,32,0.069000," ","int((2*((x^4+x^3)*exp(x)-2*x^3)*ln(ln(5))+(2*exp((x^2-1)/x^2)+2*x^3)*exp(x)^2+(-4*x*exp((x^2-1)/x^2)-4*x^4)*exp(x)+2*x^2*exp((x^2-1)/x^2)+2*x^5)/(exp(x)^2*x^3-2*exp(x)*x^4+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{2 \left(2+x \right) \ln \left(\ln \left(5\right)\right)}{x -{\mathrm e}^{x}}+{\mathrm e}^{\frac{\left(x -1\right) \left(x +1\right)}{x^{2}}}$&$32$\\ \hline \end{longtable}"," ",0,"2*x+2*(2+x)*ln(ln(5))/(x-exp(x))+exp((x-1)*(x+1)/x^2)","A"
4833,1,43,25,0.034000," ","int(((16*x^4+8*x^3)*ln(x)^3+(-48*x^6-24*x^5+24*x^4+12*x^3)*ln(x)^2+(48*x^8+24*x^7-48*x^6-24*x^5-52*x^4+6*x^3+32*x^2-64)*ln(x)-16*x^10-8*x^9+24*x^8+12*x^7+52*x^6-6*x^5-62*x^4+x^3+208*x^2-96)/(8*x^3*ln(x)^3+(-24*x^5+12*x^3)*ln(x)^2+(24*x^7-24*x^5+6*x^3)*ln(x)-8*x^9+12*x^7-6*x^5+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+x +\frac{16 x^{4}-16 x^{2} \ln \left(x \right)-8 x^{2}+16}{x^{2} \left(2 x^{2}-2 \ln \left(x \right)-1\right)^{2}}$&$43$\\ \hline \end{longtable}"," ",0,"x^2+x+8*(2*x^4-2*x^2*ln(x)-x^2+2)/x^2/(2*x^2-2*ln(x)-1)^2","A"
4834,1,32,25,0.239000," ","int(((-x*exp(exp(5))*ln(x)+(x^2+13*x+42)*exp(exp(5)))*exp(ln(x)/(x+6))+((-2*x^4-24*x^3-73*x^2-12*x-36)*exp(x^2)+(-x^2-12*x-36)*exp(2))*exp(exp(5)))/(x^2+12*x+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{{\mathrm e}^{5}+2}-x \,{\mathrm e}^{x^{2}+{\mathrm e}^{5}}+{\mathrm e}^{{\mathrm e}^{5}} x \,x^{\frac{1}{x +6}}$&$32$\\ default&$\frac{{\mathrm e}^{{\mathrm e}^{5}} x^{3} {\mathrm e}^{\frac{\ln \left(x \right)}{x +6}}+36 x \,{\mathrm e}^{{\mathrm e}^{5}} {\mathrm e}^{\frac{\ln \left(x \right)}{x +6}}+12 x^{2} {\mathrm e}^{{\mathrm e}^{5}} {\mathrm e}^{\frac{\ln \left(x \right)}{x +6}}}{\left(x +6\right)^{2}}-{\mathrm e}^{{\mathrm e}^{5}} {\mathrm e}^{2} x -{\mathrm e}^{{\mathrm e}^{5}} x \,{\mathrm e}^{x^{2}}$&$75$\\ \hline \end{longtable}"," ",0,"-x*exp(exp(5)+2)-x*exp(x^2+exp(5))+exp(exp(5))*x*x^(1/(x+6))","A"
4835,1,18,17,0.065000," ","int((exp(x)*exp(exp(1))^4-3750*x)/((exp(x)-27)*exp(exp(1))^4-1875*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\left({\mathrm e}^{x}-27\right) {\mathrm e}^{4 \,{\mathrm e}}-1875 x^{2}\right)$&$18$\\ default&$\ln \left(\left({\mathrm e}^{x}-27\right) {\mathrm e}^{4 \,{\mathrm e}}-1875 x^{2}\right)$&$18$\\ norman&$\ln \left({\mathrm e}^{x} {\mathrm e}^{4 \,{\mathrm e}}-27 \,{\mathrm e}^{4 \,{\mathrm e}}-1875 x^{2}\right)$&$23$\\ risch&$\ln \left({\mathrm e}^{x}-3 \left(9 \,{\mathrm e}^{4 \,{\mathrm e}}+625 x^{2}\right) {\mathrm e}^{-4 \,{\mathrm e}}\right)$&$25$\\ \hline \end{longtable}"," ",0,"ln((exp(x)-27)*exp(exp(1))^4-1875*x^2)","A"
4836,1,15,19,0.013000," ","int(-1/2*ln(x^2)-11/5*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{11 x^{2}}{10}-\frac{x \ln \left(x^{2}\right)}{2}+x$&$15$\\ norman&$-\frac{11 x^{2}}{10}-\frac{x \ln \left(x^{2}\right)}{2}+x$&$15$\\ risch&$-\frac{11 x^{2}}{10}-\frac{x \ln \left(x^{2}\right)}{2}+x$&$15$\\ \hline \end{longtable}"," ",0,"-11/10*x^2-1/2*x*ln(x^2)+x","A"
4837,1,38,19,0.059000," ","int(1/2*((-47*x-47)*exp(x)-94)*ln(x)+1/2*((47*x+47)*ln(5)-47*x^2-94*x-47)*exp(x)+47*ln(5)-94*x-47,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-47 x^{2}-\frac{47 x \,{\mathrm e}^{x} \ln \left(x \right)}{2}-47 x \ln \left(x \right)-\frac{47 \,{\mathrm e}^{x} x^{2}}{2}+\frac{47 x \,{\mathrm e}^{x} \ln \left(5\right)}{2}+47 x \ln \left(5\right)$&$38$\\ norman&$-47 x^{2}-\frac{47 x \,{\mathrm e}^{x} \ln \left(x \right)}{2}-47 x \ln \left(x \right)-\frac{47 \,{\mathrm e}^{x} x^{2}}{2}+\frac{47 x \,{\mathrm e}^{x} \ln \left(5\right)}{2}+47 x \ln \left(5\right)$&$38$\\ risch&$-47 x^{2}-\frac{47 x \,{\mathrm e}^{x} \ln \left(x \right)}{2}-47 x \ln \left(x \right)-\frac{47 \,{\mathrm e}^{x} x^{2}}{2}+\frac{47 x \,{\mathrm e}^{x} \ln \left(5\right)}{2}+47 x \ln \left(5\right)$&$38$\\ \hline \end{longtable}"," ",0,"-47*x^2-47/2*x*exp(x)*ln(x)-47*x*ln(x)-47/2*exp(x)*x^2+47/2*x*exp(x)*ln(5)+47*x*ln(5)","A"
4838,1,19,21,0.087000," ","int((4*x^2*exp(x)*exp(exp(x))^4-x^2+2*x)*exp(exp(exp(x))^4+ln(x)-1)^2/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4} {\mathrm e}^{2 \,{\mathrm e}^{4 \,{\mathrm e}^{x}}-2-2 x}}{2}$&$19$\\ \hline \end{longtable}"," ",0,"1/2*x^4*exp(2*exp(4*exp(x))-2-2*x)","A"
4839,1,48,33,1.137000," ","int(((2*x^7-5*x^6+20*x^4-50*x^3+50*x-125)*ln(1/3*exp(((x^3+5)*exp(x)+3*x)/(x^3+5)))+(-x^8+5*x^7-10*x^5+50*x^4-25*x^2+125*x)*exp(x)-3*x^8-24*x^5-30*x^4-90*x^2+75*x)/((x^6+10*x^3+25)*ln(1/3*exp(((x^3+5)*exp(x)+3*x)/(x^3+5)))^2+(-2*x^8+4*x^7-20*x^5+40*x^4-50*x^2+100*x)*ln(1/3*exp(((x^3+5)*exp(x)+3*x)/(x^3+5)))+x^10-4*x^9+4*x^8+10*x^7-40*x^6+40*x^5+25*x^4-100*x^3+100*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(x -5\right) x}{2 x^{2}+2 \ln \left(3\right)-4 x -2 \ln \left({\mathrm e}^{\frac{{\mathrm e}^{x} x^{3}+5 \,{\mathrm e}^{x}+3 x}{x^{3}+5}}\right)}$&$48$\\ \hline \end{longtable}"," ",0,"-2*(x-5)*x/(2*x^2+2*ln(3)-4*x-2*ln(exp((exp(x)*x^3+5*exp(x)+3*x)/(x^3+5))))","A"
4840,1,51,22,0.079000," ","int(((25*x^3-75*x^2-225*x-125)*ln(5-x)^2+(300*x^2+600*x+300)*ln(5-x)-25*x^3-125*x^2-275*x+425)/(x^3-3*x^2-9*x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(25 x +25\right) \ln \left(5-x \right)^{2}-50 \ln \left(5-x \right) x +\frac{50 x \ln \left(x -5\right)+25 x^{2}+50 \ln \left(x -5\right)+25 x +100}{x +1}$&$51$\\ derivativedivides&$-25 \ln \left(5-x \right)^{2} \left(5-x \right)+50 \left(5-x \right) \ln \left(5-x \right)-125+25 x +150 \ln \left(5-x \right)^{2}-\frac{100}{-x -1}-200 \ln \left(5-x \right)$&$61$\\ default&$-25 \ln \left(5-x \right)^{2} \left(5-x \right)+50 \left(5-x \right) \ln \left(5-x \right)-125+25 x +150 \ln \left(5-x \right)^{2}-\frac{100}{-x -1}-200 \ln \left(5-x \right)$&$61$\\ norman&$\frac{-75 x +50 \ln \left(5-x \right)+25 x^{2}+25 \ln \left(5-x \right)^{2}-50 x^{2} \ln \left(5-x \right)+50 \ln \left(5-x \right)^{2} x +25 \ln \left(5-x \right)^{2} x^{2}}{x +1}$&$69$\\ \hline \end{longtable}"," ",0,"(25*x+25)*ln(5-x)^2-50*ln(5-x)*x+25*(2*x*ln(x-5)+x^2+2*ln(x-5)+x+4)/(x+1)","B"
4841,1,34,25,0.050000," ","int(((-4*x^3+48*x^2-84*x-392)*ln(9*x)+(-28*x-56)*ln(2+x)-24*x^3+292*x^2-532*x-2352)/((x^5-12*x^4+21*x^3+98*x^2)*ln(9*x)^2+((-2*x^4+10*x^3+28*x^2)*ln(2+x)+10*x^5-120*x^4+210*x^3+980*x^2)*ln(9*x)+(x^3+2*x^2)*ln(2+x)^2+(-10*x^4+50*x^3+140*x^2)*ln(2+x)+25*x^5-300*x^4+525*x^3+2450*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x -28}{x \left(x \ln \left(9 x \right)+5 x -7 \ln \left(9 x \right)-\ln \left(2+x \right)-35\right)}$&$34$\\ \hline \end{longtable}"," ",0,"4/x*(x-7)/(x*ln(9*x)+5*x-7*ln(9*x)-ln(2+x)-35)","A"
4842,1,21,16,0.043000," ","int(6*x*ln(x)+(-3*x-3)*exp(x)+6*x*exp(3)+3*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 \,{\mathrm e}^{x} x +3 x^{2} {\mathrm e}^{3}+3 x^{2} \ln \left(x \right)$&$21$\\ norman&$-3 \,{\mathrm e}^{x} x +3 x^{2} {\mathrm e}^{3}+3 x^{2} \ln \left(x \right)$&$21$\\ risch&$-3 \,{\mathrm e}^{x} x +3 x^{2} {\mathrm e}^{3}+3 x^{2} \ln \left(x \right)$&$21$\\ \hline \end{longtable}"," ",0,"-3*exp(x)*x+3*x^2*exp(3)+3*x^2*ln(x)","A"
4843,1,23,28,0.058000," ","int((-2*x*ln(2*ln(2))+2*x^5+x^4-4*x^3-7*x^2+2*x-4)/(x^4-2*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+x +\frac{5 x +\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}{x^{2}-1}$&$23$\\ gosper&$\frac{x^{4}+x^{3}+\ln \left(2 \ln \left(2\right)\right)+4 x -1}{x^{2}-1}$&$25$\\ norman&$\frac{x^{3}+x^{4}+4 x -1+\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}{x^{2}-1}$&$25$\\ default&$x^{2}+x -\frac{-\frac{5}{2}-\frac{\ln \left(2 \ln \left(2\right)\right)}{2}}{x -1}-\frac{-\frac{5}{2}+\frac{\ln \left(2 \ln \left(2\right)\right)}{2}}{x +1}$&$38$\\ \hline \end{longtable}"," ",0,"x^2+x+(5*x+ln(2)+ln(ln(2)))/(x^2-1)","A"
4844,1,11,18,0.020000," ","int((ln(-x^2)-2)/ln(-x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{\ln \left(-x^{2}\right)}$&$11$\\ risch&$\frac{x}{\ln \left(-x^{2}\right)}$&$11$\\ \hline \end{longtable}"," ",0,"x/ln(-x^2)","A"
4845,1,45,33,0.050000," ","int((((3*x^6-4*x^5+15*x^4)*exp(5*x)^2+(5*x^6+4*x^5)*exp(5*x))*ln(x)+(-x^6+x^5-3*x^4)*exp(5*x)^2-x^5*exp(5*x))/(((2*x^4-4*x^3+14*x^2-12*x+18)*exp(5*x)^2+(4*x^3-4*x^2+12*x)*exp(5*x)+2*x^2)*ln(x)^2+((x^7-x^6+3*x^5)*exp(5*x)^2+x^6*exp(5*x))*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\ln \left(x \right)\right)+\ln \left(\ln \left(x \right)+\frac{x^{5} {\mathrm e}^{5 x}}{2 x^{2} {\mathrm e}^{5 x}-2 x \,{\mathrm e}^{5 x}+2 x +6 \,{\mathrm e}^{5 x}}\right)$&$45$\\ \hline \end{longtable}"," ",0,"-ln(ln(x))+ln(ln(x)+1/2*x^5*exp(5*x)/(x^2*exp(5*x)-x*exp(5*x)+x+3*exp(5*x)))","A"
4846,1,29,24,0.456000," ","int(((((3*x-15)*exp(1)-9*x^2+9*x+180)*exp(x-4)+3*exp(1)-81)*exp(exp(x-4))+45)*exp(((3*x-15)*exp(exp(x-4))+15)/(exp(1)-3*x-12))/(exp(1)^2+(-6*x-24)*exp(1)+9*x^2+72*x+144),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{3 x \,{\mathrm e}^{{\mathrm e}^{x -4}}-15 \,{\mathrm e}^{{\mathrm e}^{x -4}}+15}{{\mathrm e}-3 x -12}}$&$29$\\ norman&$\frac{\left({\mathrm e}-12\right) {\mathrm e}^{\frac{\left(3 x -15\right) {\mathrm e}^{{\mathrm e}^{x -4}}+15}{{\mathrm e}-3 x -12}}-3 x \,{\mathrm e}^{\frac{\left(3 x -15\right) {\mathrm e}^{{\mathrm e}^{x -4}}+15}{{\mathrm e}-3 x -12}}}{{\mathrm e}-3 x -12}$&$68$\\ \hline \end{longtable}"," ",0,"exp(3*(x*exp(exp(x-4))-5*exp(exp(x-4))+5)/(exp(1)-3*x-12))","A"
4847,1,28,28,0.174000," ","int((24*x^8-80*x^7-192*x^6+408*x^5+416*x^4+32*x-128)*ln(3)^2*exp((4*x^8-16*x^7-48*x^6+136*x^5+208*x^4+260*x^2-32*x+64)*ln(3)^2/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{4 \left(x -4\right)^{2} \left(x^{3}+2 x^{2}+1\right)^{2} \ln \left(3\right)^{2}}{x^{2}}}$&$28$\\ gosper&${\mathrm e}^{\frac{4 \left(x^{8}-4 x^{7}-12 x^{6}+34 x^{5}+52 x^{4}+65 x^{2}-8 x +16\right) \ln \left(3\right)^{2}}{x^{2}}}$&$44$\\ norman&${\mathrm e}^{\frac{\left(4 x^{8}-16 x^{7}-48 x^{6}+136 x^{5}+208 x^{4}+260 x^{2}-32 x +64\right) \ln \left(3\right)^{2}}{x^{2}}}$&$45$\\ \hline \end{longtable}"," ",0,"exp(4*(x-4)^2*(x^3+2*x^2+1)^2*ln(3)^2/x^2)","A"
4848,1,35,26,0.048000," ","int((((x^2-15*x-1)*exp(1/2*(30*x+1)/x^2)-x^2)*ln(x)^2+(x^2-15*x-1)*exp(1/2*(30*x+1)/x^2)*ln(x)-x^2*exp(1/2*(30*x+1)/x^2))/x^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{\frac{30 x +1}{2 x^{2}}}-x +\frac{x \,{\mathrm e}^{\frac{30 x +1}{2 x^{2}}}}{\ln \left(x \right)}$&$35$\\ default&$-x +\frac{x^{2} {\mathrm e}^{\frac{30 x +1}{2 x^{2}}}+\ln \left(x \right) {\mathrm e}^{\frac{30 x +1}{2 x^{2}}} x^{2}}{x \ln \left(x \right)}$&$46$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{30 x +1}{2 x^{2}}}+\ln \left(x \right) {\mathrm e}^{\frac{30 x +1}{2 x^{2}}} x^{2}-x^{2} \ln \left(x \right)}{x \ln \left(x \right)}$&$49$\\ \hline \end{longtable}"," ",0,"x*exp(1/2*(30*x+1)/x^2)-x+x*exp(1/2*(30*x+1)/x^2)/ln(x)","A"
4849,1,19,15,0.053000," ","int(1/2*(2*ln(2*x)+7*x-18)*exp(x*ln(2*x)+7/4*x^2-10*x)+exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(2 x \right)^{x} {\mathrm e}^{\frac{x \left(7 x -40\right)}{4}}+{\mathrm e}^{x}$&$19$\\ default&${\mathrm e}^{x \ln \left(2 x \right)+\frac{7 x^{2}}{4}-10 x}+{\mathrm e}^{x}$&$20$\\ norman&${\mathrm e}^{x \ln \left(2 x \right)+\frac{7 x^{2}}{4}-10 x}+{\mathrm e}^{x}$&$20$\\ \hline \end{longtable}"," ",0,"(2*x)^x*exp(1/4*x*(7*x-40))+exp(x)","A"
4850,1,11,17,0.039000," ","int(100*x/exp(2)/exp(25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \,{\mathrm e}^{-25 x^{2}-2}$&$11$\\ gosper&$-2 \,{\mathrm e}^{-25 x^{2}} {\mathrm e}^{-2}$&$15$\\ derivativedivides&$-2 \,{\mathrm e}^{-25 x^{2}} {\mathrm e}^{-2}$&$15$\\ default&$-2 \,{\mathrm e}^{-25 x^{2}} {\mathrm e}^{-2}$&$15$\\ norman&$-2 \,{\mathrm e}^{-25 x^{2}} {\mathrm e}^{-2}$&$15$\\ meijerg&$2 \,{\mathrm e}^{-2} \left(1-{\mathrm e}^{-25 x^{2}}\right)$&$15$\\ \hline \end{longtable}"," ",0,"-2*exp(-25*x^2-2)","A"
4851,1,21,22,0.054000," ","int((-2*x^2*ln(x)^5+(-20*x^3-30*x^2)*ln(x)^4+(-80*x^4-240*x^3-180*x^2)*ln(x)^3+(-160*x^5-720*x^4-1080*x^3-540*x^2)*ln(x)^2+(-6*exp(2)^2-160*x^6-960*x^5-2160*x^4-2160*x^3-810*x^2)*ln(x)+(-60*x-42)*exp(2)^2-64*x^7-480*x^6-1440*x^5-2160*x^4-1620*x^3-486*x^2)/(x^2*ln(x)^5+(10*x^3+15*x^2)*ln(x)^4+(40*x^4+120*x^3+90*x^2)*ln(x)^3+(80*x^5+360*x^4+540*x^3+270*x^2)*ln(x)^2+(80*x^6+480*x^5+1080*x^4+1080*x^3+405*x^2)*ln(x)+32*x^7+240*x^6+720*x^5+1080*x^4+810*x^3+243*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 \,{\mathrm e}^{4}}{x \left(\ln \left(x \right)+3+2 x \right)^{4}}-2 x$&$21$\\ \hline \end{longtable}"," ",0,"6/x*exp(4)/(ln(x)+3+2*x)^4-2*x","A"
4852,1,21,23,0.069000," ","int(((2*x^2+6*x)*ln(3+x)+24*x^6+72*x^5-3*x^2-11*x+3)/((x^3+3*x^2)*ln(3+x)+4*x^7+12*x^6-2*x^3-5*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)+\ln \left(4 x^{5}+x \ln \left(3+x \right)-2 x +1\right)$&$21$\\ risch&$2 \ln \left(x \right)+\ln \left(\ln \left(3+x \right)+\frac{4 x^{5}-2 x +1}{x}\right)$&$26$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(4*x^5+x*ln(3+x)-2*x+1)","A"
4853,1,35,19,0.043000," ","int((8*x*exp(3)+2*x)*ln(x)+(16*x^3+12*x)*exp(3)+4*x^3+3*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\left(4 \,{\mathrm e}^{3}+1\right) x^{2}+\left(4 \,{\mathrm e}^{3}+1\right) x^{4}+\left(4 \,{\mathrm e}^{3}+1\right) x^{2} \ln \left(x \right)$&$35$\\ risch&$4 x^{4} {\mathrm e}^{3}+4 \,{\mathrm e}^{3} x^{2} \ln \left(x \right)+x^{4}+x^{2} \ln \left(x \right)+4 x^{2} {\mathrm e}^{3}+x^{2}+x$&$38$\\ default&$x +4 \,{\mathrm e}^{3} x^{2} \ln \left(x \right)-2 x^{2} {\mathrm e}^{3}+x^{2} \ln \left(x \right)+x^{2}+{\mathrm e}^{3} \left(4 x^{4}+6 x^{2}\right)+x^{4}$&$45$\\ \hline \end{longtable}"," ",0,"x+(4*exp(3)+1)*x^2+(4*exp(3)+1)*x^4+(4*exp(3)+1)*x^2*ln(x)","A"
4854,1,30,21,0.041000," ","int(3*x*exp(6*x^2)+1/2*(ln(5)+I*Pi)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x \,\pi^{2}}{2}+i \pi  \ln \left(5\right) x +\frac{x \ln \left(5\right)^{2}}{2}+\frac{{\mathrm e}^{6 x^{2}}}{4}$&$30$\\ norman&$\left(i \pi  \ln \left(5\right)-\frac{\pi^{2}}{2}+\frac{\ln \left(5\right)^{2}}{2}\right) x +\frac{{\mathrm e}^{6 x^{2}}}{4}$&$30$\\ risch&$-\frac{x \,\pi^{2}}{2}+i \pi  \ln \left(5\right) x +\frac{x \ln \left(5\right)^{2}}{2}+\frac{{\mathrm e}^{6 x^{2}}}{4}$&$30$\\ \hline \end{longtable}"," ",0,"-1/2*x*Pi^2+I*Pi*ln(5)*x+1/2*x*ln(5)^2+1/4*exp(6*x^2)","A"
4855,1,12,13,0.020000," ","int(((5*x+5)*exp(ln(x)+x+7)+5*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x +5 x \,{\mathrm e}^{x +7}$&$12$\\ norman&$5 x +5 \,{\mathrm e}^{\ln \left(x \right)+x +7}$&$13$\\ default&$5 x +5 \,{\mathrm e}^{x +7} \left(x +7\right)-35 \,{\mathrm e}^{x +7}$&$20$\\ \hline \end{longtable}"," ",0,"5*x+5*x*exp(x+7)","A"
4856,1,52,20,0.453000," ","int(((720*x^4-5)*exp(36*x^4)*ln(4*x^2)*ln(ln(4*x^2))+x^2*ln(4*x^2)+10*exp(36*x^4))/x^2/ln(4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \,{\mathrm e}^{36 x^{4}} \ln \left(2 \ln \left(2\right)+2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)}{x}+x$&$52$\\ \hline \end{longtable}"," ",0,"5/x*exp(36*x^4)*ln(2*ln(2)+2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+x","C"
4857,1,45,26,0.043000," ","int((-32*ln(15)-32*ln(2)+64)*exp(x)^2+((32*x+32)*ln(15)+(32*x+32)*ln(2)-64*x-64)*exp(x)-32*x*ln(15)-32*x*ln(2)+64*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-16 \ln \left(15\right)-16 \ln \left(2\right)+32\right) x^{2}+\left(-16 \ln \left(15\right)-16 \ln \left(2\right)+32\right) {\mathrm e}^{2 x}+\left(32 \ln \left(15\right)+32 \ln \left(2\right)-64\right) x \,{\mathrm e}^{x}$&$45$\\ default&$-16 \ln \left(2\right) {\mathrm e}^{2 x}-16 \,{\mathrm e}^{2 x} \ln \left(15\right)+32 \,{\mathrm e}^{2 x}-64 \,{\mathrm e}^{x} x +32 x \ln \left(2\right) {\mathrm e}^{x}+32 \,{\mathrm e}^{x} \ln \left(15\right) x +32 x^{2}-16 x^{2} \ln \left(2\right)-16 x^{2} \ln \left(15\right)$&$62$\\ risch&$-16 \ln \left(2\right) {\mathrm e}^{2 x}-16 \,{\mathrm e}^{2 x} \ln \left(5\right)-16 \,{\mathrm e}^{2 x} \ln \left(3\right)+32 \,{\mathrm e}^{2 x}+32 \left(\ln \left(2\right)+\ln \left(5\right)+\ln \left(3\right)-2\right) x \,{\mathrm e}^{x}-16 x^{2} \ln \left(5\right)-16 x^{2} \ln \left(3\right)-16 x^{2} \ln \left(2\right)+32 x^{2}$&$71$\\ \hline \end{longtable}"," ",0,"(-16*ln(15)-16*ln(2)+32)*x^2+(-16*ln(15)-16*ln(2)+32)*exp(x)^2+(32*ln(15)+32*ln(2)-64)*x*exp(x)","A"
4858,1,29,30,0.056000," ","int((-4*x^5-6*x^4-6*x^3+2*x^2-4*x+2)/((2*x^4+3*x^3+4*x^2-x)*ln(1/2*(2*x^3+3*x^2+4*x-1)/x^2)-2*x^6-3*x^5-4*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x^{2}-\ln \left(\frac{2 x^{3}+3 x^{2}+4 x -1}{2 x^{2}}\right)\right)$&$29$\\ risch&$\ln \left(-x^{2}+\ln \left(\frac{2 x^{3}+3 x^{2}+4 x -1}{2 x^{2}}\right)\right)$&$29$\\ \hline \end{longtable}"," ",0,"ln(x^2-ln(1/2*(2*x^3+3*x^2+4*x-1)/x^2))","A"
4859,1,43,25,0.065000," ","int(((20*x^4*ln(3)+6*x^5+5*x^4)*ln(x)*ln(ln(x))+5*x^4*ln(x)^2+(-24*x^5*ln(3)-7*x^6-12*x^5+x^4)*ln(x)+4*x^4*ln(3)+x^5+x^4)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(4 x^{5} \ln \left(3\right)+x^{6}+x^{5}\right) \ln \left(\ln \left(x \right)\right)-4 x^{6} \ln \left(3\right)-x^{7}-2 x^{6}+x^{5} \ln \left(x \right)$&$43$\\ \hline \end{longtable}"," ",0,"(4*x^5*ln(3)+x^6+x^5)*ln(ln(x))-4*x^6*ln(3)-x^7-2*x^6+x^5*ln(x)","A"
4860,1,52,23,0.146000," ","int(((-12*x^3+100*x+1)*exp(-x^3+25*x)^4+(108*x^3-900*x-12)*exp(-x^3+25*x)^3+(-324*x^3+2700*x+54)*exp(-x^3+25*x)^2+(324*x^3-2700*x-108)*exp(-x^3+25*x)+81)*exp(x*exp(-x^3+25*x)^4-12*x*exp(-x^3+25*x)^3+54*x*exp(-x^3+25*x)^2-108*x*exp(-x^3+25*x)+81*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x \left({\mathrm e}^{-4 x \left(x -5\right) \left(5+x \right)}-12 \,{\mathrm e}^{-3 x \left(x -5\right) \left(5+x \right)}+54 \,{\mathrm e}^{-2 x \left(x -5\right) \left(5+x \right)}-108 \,{\mathrm e}^{-x \left(x -5\right) \left(5+x \right)}+81\right)}$&$52$\\ \hline \end{longtable}"," ",0,"exp(x*(exp(-4*x*(x-5)*(5+x))-12*exp(-3*x*(x-5)*(5+x))+54*exp(-2*x*(x-5)*(5+x))-108*exp(-x*(x-5)*(5+x))+81))","B"
4861,1,60,27,0.480000," ","int((x^4*exp(5)^4*exp(exp(3))^4+(-4*x^5-36*x^4)*exp(5)^4*exp(exp(3))^3+((6*x^6+108*x^5+486*x^4)*exp(5)^4+71*x^2*exp(5)^2)*exp(exp(3))^2+((-4*x^7-108*x^6-972*x^5-2916*x^4)*exp(5)^4+(-140*x^3-1278*x^2)*exp(5)^2)*exp(exp(3))+(x^8+36*x^7+486*x^6+2916*x^5+6561*x^4)*exp(5)^4+(69*x^4+1260*x^3+5751*x^2)*exp(5)^2+1332)/(x^4*exp(5)^4*exp(exp(3))^4+(-4*x^5-36*x^4)*exp(5)^4*exp(exp(3))^3+((6*x^6+108*x^5+486*x^4)*exp(5)^4+72*x^2*exp(5)^2)*exp(exp(3))^2+((-4*x^7-108*x^6-972*x^5-2916*x^4)*exp(5)^4+(-144*x^3-1296*x^2)*exp(5)^2)*exp(exp(3))+(x^8+36*x^7+486*x^6+2916*x^5+6561*x^4)*exp(5)^4+(72*x^4+1296*x^3+5832*x^2)*exp(5)^2+1296),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x}{x^{2} {\mathrm e}^{10+2 \,{\mathrm e}^{3}}-2 x^{3} {\mathrm e}^{10+{\mathrm e}^{3}}+x^{4} {\mathrm e}^{10}-18 x^{2} {\mathrm e}^{10+{\mathrm e}^{3}}+18 x^{3} {\mathrm e}^{10}+81 \,{\mathrm e}^{10} x^{2}+36}$&$60$\\ norman&$\frac{x^{5} {\mathrm e}^{10}+{\mathrm e}^{10} \left({\mathrm e}^{2 \,{\mathrm e}^{3}}-18 \,{\mathrm e}^{{\mathrm e}^{3}}+81\right) x^{3}+\left(-2 \,{\mathrm e}^{10} {\mathrm e}^{{\mathrm e}^{3}}+18 \,{\mathrm e}^{10}\right) x^{4}+37 x}{{\mathrm e}^{10} {\mathrm e}^{2 \,{\mathrm e}^{3}} x^{2}-2 \,{\mathrm e}^{10} {\mathrm e}^{{\mathrm e}^{3}} x^{3}+x^{4} {\mathrm e}^{10}-18 \,{\mathrm e}^{10} {\mathrm e}^{{\mathrm e}^{3}} x^{2}+18 x^{3} {\mathrm e}^{10}+81 \,{\mathrm e}^{10} x^{2}+36}$&$121$\\ gosper&$\frac{x \left({\mathrm e}^{10} {\mathrm e}^{2 \,{\mathrm e}^{3}} x^{2}-2 \,{\mathrm e}^{10} {\mathrm e}^{{\mathrm e}^{3}} x^{3}+x^{4} {\mathrm e}^{10}-18 \,{\mathrm e}^{10} {\mathrm e}^{{\mathrm e}^{3}} x^{2}+18 x^{3} {\mathrm e}^{10}+81 \,{\mathrm e}^{10} x^{2}+37\right)}{{\mathrm e}^{10} {\mathrm e}^{2 \,{\mathrm e}^{3}} x^{2}-2 \,{\mathrm e}^{10} {\mathrm e}^{{\mathrm e}^{3}} x^{3}+x^{4} {\mathrm e}^{10}-18 \,{\mathrm e}^{10} {\mathrm e}^{{\mathrm e}^{3}} x^{2}+18 x^{3} {\mathrm e}^{10}+81 \,{\mathrm e}^{10} x^{2}+36}$&$135$\\ \hline \end{longtable}"," ",0,"x+x/(x^2*exp(10+2*exp(3))-2*x^3*exp(10+exp(3))+x^4*exp(10)-18*x^2*exp(10+exp(3))+18*x^3*exp(10)+81*exp(10)*x^2+36)","B"
4862,1,17,20,0.060000," ","int((x^2-22*x-88)/((3*x^3+12*x^2)*ln(4+x)^2+(-12*x^3+84*x^2+528*x)*ln(4+x)+12*x^3-216*x^2+396*x+5808),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x}{3 \left(\ln \left(4+x \right) x -2 x +22\right)}$&$17$\\ risch&$-\frac{x}{3 \left(\ln \left(4+x \right) x -2 x +22\right)}$&$17$\\ \hline \end{longtable}"," ",0,"-1/3*x/(ln(4+x)*x-2*x+22)","A"
4863,1,40,27,0.063000," ","int((-4*exp(exp(2)^2)^2*exp(exp(3))+8*x*exp(exp(2)^2)^2-1)*exp(exp(exp(2)^2)^2*exp(exp(3))^2-4*x*exp(exp(2)^2)^2*exp(exp(3))+4*x^2*exp(exp(2)^2)^2+exp(2)-x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{2 \,{\mathrm e}^{4}+2 \,{\mathrm e}^{3}}-4 x \,{\mathrm e}^{2 \,{\mathrm e}^{4}+{\mathrm e}^{3}}+4 x^{2} {\mathrm e}^{2 \,{\mathrm e}^{4}}+{\mathrm e}^{2}-x +25}$&$40$\\ gosper&${\mathrm e}^{{\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e}^{2 \,{\mathrm e}^{3}}-4 x \,{\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e}^{{\mathrm e}^{3}}+4 x^{2} {\mathrm e}^{2 \,{\mathrm e}^{4}}+{\mathrm e}^{2}-x +25}$&$47$\\ derivativedivides&${\mathrm e}^{{\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e}^{2 \,{\mathrm e}^{3}}-4 x \,{\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e}^{{\mathrm e}^{3}}+4 x^{2} {\mathrm e}^{2 \,{\mathrm e}^{4}}+{\mathrm e}^{2}-x +25}$&$47$\\ default&${\mathrm e}^{{\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e}^{2 \,{\mathrm e}^{3}}-4 x \,{\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e}^{{\mathrm e}^{3}}+4 x^{2} {\mathrm e}^{2 \,{\mathrm e}^{4}}+{\mathrm e}^{2}-x +25}$&$47$\\ norman&${\mathrm e}^{{\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e}^{2 \,{\mathrm e}^{3}}-4 x \,{\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e}^{{\mathrm e}^{3}}+4 x^{2} {\mathrm e}^{2 \,{\mathrm e}^{4}}+{\mathrm e}^{2}-x +25}$&$47$\\ \hline \end{longtable}"," ",0,"exp(exp(2*exp(4)+2*exp(3))-4*x*exp(2*exp(4)+exp(3))+4*x^2*exp(2*exp(4))+exp(2)-x+25)","A"
4864,1,12,11,0.054000," ","int((8*ln(1/4*x)*x^2-98*x^2+4)/(4*x*ln(1/4*x)-49*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\ln \left(\ln \left(\frac{x}{4}\right)-\frac{49}{4}\right)$&$12$\\ norman&$x^{2}+\ln \left(4 \ln \left(\frac{x}{4}\right)-49\right)$&$14$\\ \hline \end{longtable}"," ",0,"x^2+ln(ln(1/4*x)-49/4)","A"
4865,1,30,27,0.059000," ","int(((2*x^4+2*x^3-20*x^2+8*x)*ln(x^2)+4*x^4-30*x^3+72*x^2-72*x+32)/(2*x^5-15*x^4+36*x^3-36*x^2+16*x)/ln(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(x^{2}\right)\right)+\ln \left(x -2\right)-\ln \left(2 x^{2}-3 x +2\right)+2 \ln \left(x -4\right)$&$30$\\ norman&$\ln \left(\ln \left(x^{2}\right)\right)+\ln \left(x -2\right)-\ln \left(2 x^{2}-3 x +2\right)+2 \ln \left(x -4\right)$&$30$\\ risch&$\ln \left(\ln \left(x^{2}\right)\right)+\ln \left(x -2\right)-\ln \left(2 x^{2}-3 x +2\right)+2 \ln \left(x -4\right)$&$30$\\ \hline \end{longtable}"," ",0,"ln(ln(x^2))+ln(x-2)-ln(2*x^2-3*x+2)+2*ln(x-4)","A"
4866,1,20,17,0.045000," ","int(((-exp(x)-x-2)*ln(exp(x)+2+x)+((x-12)*exp(x)+x-12)*ln(1/4*x-3))*exp(1/2*ln(exp(x)+2+x)/ln(1/4*x-3))/((2*x-24)*exp(x)+2*x^2-20*x-48)/ln(1/4*x-3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{x}+2+x \right)^{\frac{1}{-4 \ln \left(2\right)+2 \ln \left(x -12\right)}}$&$20$\\ \hline \end{longtable}"," ",0,"(exp(x)+2+x)^(1/2/(-2*ln(2)+ln(x-12)))","A"
4867,1,61,25,0.085000," ","int((((12*exp(x)*x-12)*exp(-exp(x)+4)-4)*exp(1/(45*x^2*exp(-exp(x)+4)^2+30*x^2*exp(-exp(x)+4)+5*x^2))^2+((24*exp(x)*x-24)*exp(-exp(x)+4)-8)*exp(1/(45*x^2*exp(-exp(x)+4)^2+30*x^2*exp(-exp(x)+4)+5*x^2))+135*x^3*exp(-exp(x)+4)^3+135*x^3*exp(-exp(x)+4)^2+45*x^3*exp(-exp(x)+4)+5*x^3)/(135*x^3*exp(-exp(x)+4)^3+135*x^3*exp(-exp(x)+4)^2+45*x^3*exp(-exp(x)+4)+5*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2}{5 x^{2} \left(9 \,{\mathrm e}^{-2 \,{\mathrm e}^{x}+8}+6 \,{\mathrm e}^{-{\mathrm e}^{x}+4}+1\right)}}+x +4 \,{\mathrm e}^{\frac{1}{5 x^{2} \left(9 \,{\mathrm e}^{-2 \,{\mathrm e}^{x}+8}+6 \,{\mathrm e}^{-{\mathrm e}^{x}+4}+1\right)}}$&$61$\\ \hline \end{longtable}"," ",0,"exp(2/5/x^2/(9*exp(-2*exp(x)+8)+6*exp(-exp(x)+4)+1))+x+4*exp(1/5/x^2/(9*exp(-2*exp(x)+8)+6*exp(-exp(x)+4)+1))","B"
4868,1,19,18,0.086000," ","int(((2*x-24)*ln(1/3*x-4)^2+(4*x^2-72*x+288)*ln(1/3*x-4)+2*x^3-60*x^2+474*x-648)/((x-12)*ln(1/3*x-4)^2+(2*x^2-42*x+216)*ln(1/3*x-4)+x^3-30*x^2+297*x-972),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{12 x}{\ln \left(\frac{x}{3}-4\right)-9+x}$&$19$\\ norman&$\frac{-2 \ln \left(\frac{x}{3}-4\right)^{2}+24 \ln \left(\frac{x}{3}-4\right)+2 x^{2}-54}{\ln \left(\frac{x}{3}-4\right)-9+x}+2 \ln \left(x -12\right)$&$45$\\ \hline \end{longtable}"," ",0,"2*x+12*x/(ln(1/3*x-4)-9+x)","A"
4869,1,63,26,0.355000," ","int(((ln(4/7)^2+(2*x^2-6*x+2)*ln(4/7)+x^4-6*x^3+11*x^2-6*x+1)*exp(5+x)+(x-1)*ln(4/7)+x^3-2*x^2+x-1)/(ln(4/7)^2+(2*x^2-6*x+2)*ln(4/7)+x^4-6*x^3+11*x^2-6*x+1)/exp(5+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(x^{3} {\mathrm e}^{5+x}+\left(-3 \ln \left(7\right)+6 \ln \left(2\right)+3\right) {\mathrm e}^{5+x}+\left(-8-\ln \left(7\right)+2 \ln \left(2\right)\right) x \,{\mathrm e}^{5+x}-x \right) {\mathrm e}^{-x -5}}{x^{2}+\ln \left(\frac{4}{7}\right)-3 x +1}$&$63$\\ derivativedivides&$\text{Expression too large to display}$&$2191$\\ default&$\text{Expression too large to display}$&$2191$\\ \hline \end{longtable}"," ",0,"(x^3*exp(5+x)+(-3*ln(7)+6*ln(2)+3)*exp(5+x)+(-8-ln(7)+2*ln(2))*x*exp(5+x)-x)/(x^2+ln(4/7)-3*x+1)/exp(5+x)","B"
4870,1,12,15,0.110000," ","int(-40/(11*x^2+40*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(11 x +40\right)-\ln \left(x \right)$&$12$\\ norman&$\ln \left(11 x +40\right)-\ln \left(x \right)$&$12$\\ risch&$\ln \left(11 x +40\right)-\ln \left(x \right)$&$12$\\ meijerg&$\ln \left(1+\frac{11 x}{40}\right)-\ln \left(x \right)-\ln \left(11\right)+3 \ln \left(2\right)+\ln \left(5\right)$&$22$\\ \hline \end{longtable}"," ",0,"ln(11*x+40)-ln(x)","A"
4871,1,35,23,0.040000," ","int(1/4*(-4*x-4)*exp(4)*ln(5)+1/4*(-3*x^2-4*x)*exp(4)-3*x^2-2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-\frac{{\mathrm e}^{4}}{4}-1\right) x^{3}+\left(-\frac{{\mathrm e}^{4} \ln \left(5\right)}{2}-\frac{{\mathrm e}^{4}}{2}-1\right) x^{2}-{\mathrm e}^{4} \ln \left(5\right) x$&$35$\\ gosper&$-\frac{x \left(2 \,{\mathrm e}^{4} \ln \left(5\right) x +x^{2} {\mathrm e}^{4}+4 \,{\mathrm e}^{4} \ln \left(5\right)+2 x \,{\mathrm e}^{4}+4 x^{2}+4 x \right)}{4}$&$37$\\ default&$\frac{{\mathrm e}^{4} \ln \left(5\right) \left(-2 x^{2}-4 x \right)}{4}+\frac{{\mathrm e}^{4} \left(-x^{3}-2 x^{2}\right)}{4}-x^{3}-x^{2}$&$42$\\ risch&$-\frac{{\mathrm e}^{4} \ln \left(5\right) x^{2}}{2}-{\mathrm e}^{4} \ln \left(5\right) x -\frac{x^{3} {\mathrm e}^{4}}{4}-\frac{x^{2} {\mathrm e}^{4}}{2}-x^{3}-x^{2}$&$42$\\ \hline \end{longtable}"," ",0,"(-1/4*exp(4)-1)*x^3+(-1/2*exp(4)*ln(5)-1/2*exp(4)-1)*x^2-exp(4)*ln(5)*x","A"
4872,1,32,25,0.137000," ","int(((((-5*x^2-5*x)*exp(x)^2-5*exp(x))*exp(exp(x))+(4*x^3+10*x^2+8*x+2)*exp(x))*exp((5*x*exp(exp(x))-2*x^3-2*x^2)/(2*x+2))+(2*x^3+2*x^2-2*x-2)*exp(x))/((8*x^2+16*x+8)*exp((5*x*exp(exp(x))-2*x^3-2*x^2)/(2*x+2))^2+(16*x^3+32*x^2+16*x)*exp((5*x*exp(exp(x))-2*x^3-2*x^2)/(2*x+2))+8*x^4+16*x^3+8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}}{4 x +4 \,{\mathrm e}^{-\frac{x \left(2 x^{2}-5 \,{\mathrm e}^{{\mathrm e}^{x}}+2 x \right)}{2 \left(x +1\right)}}}$&$32$\\ \hline \end{longtable}"," ",0,"1/4*exp(x)/(x+exp(-1/2*x*(2*x^2-5*exp(exp(x))+2*x)/(x+1)))","A"
4873,0,0,27,0.020000," ","int((((-225*x^4+531*x^3-162*x^2)*ln(25/9*x^2-x)-1125*x^4+2655*x^3-810*x^2)*ln(ln(25/9*x^2-x)+5)-150*x^4+477*x^3-81*x^2+750*x-135)/((25*x^2-9*x)*ln(25/9*x^2-x)+125*x^2-45*x),x)","\[\int \frac{\left(\left(-225 x^{4}+531 x^{3}-162 x^{2}\right) \ln \left(\frac{25}{9} x^{2}-x \right)-1125 x^{4}+2655 x^{3}-810 x^{2}\right) \ln \left(\ln \left(\frac{25}{9} x^{2}-x \right)+5\right)-150 x^{4}+477 x^{3}-81 x^{2}+750 x -135}{\left(25 x^{2}-9 x \right) \ln \left(\frac{25}{9} x^{2}-x \right)+125 x^{2}-45 x}\, dx\]"," ",0,"int((((-225*x^4+531*x^3-162*x^2)*ln(25/9*x^2-x)-1125*x^4+2655*x^3-810*x^2)*ln(ln(25/9*x^2-x)+5)-150*x^4+477*x^3-81*x^2+750*x-135)/((25*x^2-9*x)*ln(25/9*x^2-x)+125*x^2-45*x),x)","F"
4874,1,18,21,0.117000," ","int((2*x^2+4*x+4)/((x^2+2*x)*ln((2*x+4)/x)-x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 \ln \left(x -\ln \left(\frac{2 x +4}{x}\right)\right)$&$18$\\ risch&$-2 \ln \left(\ln \left(\frac{2 x +4}{x}\right)-x \right)$&$18$\\ \hline \end{longtable}"," ",0,"-2*ln(x-ln((2*x+4)/x))","A"
4875,1,20,21,0.092000," ","int((exp(x)+(2*x^4+4*x^3-20*x^2)*ln(5)^2)/exp(x)/exp((2*x^3+10*x^2)*ln(5)^2/exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-2 x^{2} \left(5+x \right) \ln \left(5\right)^{2} {\mathrm e}^{-x}}$&$20$\\ norman&$x \,{\mathrm e}^{-\left(2 x^{3}+10 x^{2}\right) \ln \left(5\right)^{2} {\mathrm e}^{-x}}$&$26$\\ \hline \end{longtable}"," ",0,"x*exp(-2*x^2*(5+x)*ln(5)^2*exp(-x))","A"
4876,1,39,26,0.233000," ","int(((-3*x^4-9*x^3+3*x^2+18*x)*ln(x^2+x-3)-4*x^5+43*x^3+24*x^2-83*x-39)/(5*x^2+5*x-15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-\frac{1}{5} x^{3}-\frac{3}{5} x^{2}\right) \ln \left(x^{2}+x -3\right)-\frac{x^{4}}{5}+\frac{2 x^{3}}{5}+\frac{16 x^{2}}{5}+\frac{13 x}{5}$&$39$\\ default&$-\frac{x^{4}}{5}+\frac{2 x^{3}}{5}+\frac{16 x^{2}}{5}+\frac{13 x}{5}-\frac{\ln \left(x^{2}+x -3\right) x^{3}}{5}-\frac{3 \ln \left(x^{2}+x -3\right) x^{2}}{5}$&$44$\\ norman&$-\frac{x^{4}}{5}+\frac{2 x^{3}}{5}+\frac{16 x^{2}}{5}+\frac{13 x}{5}-\frac{\ln \left(x^{2}+x -3\right) x^{3}}{5}-\frac{3 \ln \left(x^{2}+x -3\right) x^{2}}{5}$&$44$\\ \hline \end{longtable}"," ",0,"(-1/5*x^3-3/5*x^2)*ln(x^2+x-3)-1/5*x^4+2/5*x^3+16/5*x^2+13/5*x","A"
4877,1,23,20,0.035000," ","int(((-x^2-18*x+20)*exp(5)-x^2+x-18)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left(x^{2} {\mathrm e}^{5}+20 x \,{\mathrm e}^{5}+x^{2}+x +19\right) {\mathrm e}^{-x}$&$23$\\ risch&$\left(x^{2} {\mathrm e}^{5}+20 x \,{\mathrm e}^{5}+x^{2}+x +19\right) {\mathrm e}^{-x}$&$23$\\ norman&$\left(19+\left({\mathrm e}^{5}+1\right) x^{2}+\left(20 \,{\mathrm e}^{5}+1\right) x \right) {\mathrm e}^{-x}$&$24$\\ meijerg&$\left(-{\mathrm e}^{5}-1\right) \left(2-\frac{\left(3 x^{2}+6 x +6\right) {\mathrm e}^{-x}}{3}\right)+\left(-18 \,{\mathrm e}^{5}+1\right) \left(1-\frac{\left(2 x +2\right) {\mathrm e}^{-x}}{2}\right)+20 \,{\mathrm e}^{5} \left(1-{\mathrm e}^{-x}\right)-18+18 \,{\mathrm e}^{-x}$&$66$\\ default&$x \,{\mathrm e}^{-x}+19 \,{\mathrm e}^{-x}+x^{2} {\mathrm e}^{-x}-20 \,{\mathrm e}^{5} {\mathrm e}^{-x}-18 \,{\mathrm e}^{5} \left(-x \,{\mathrm e}^{-x}-{\mathrm e}^{-x}\right)-{\mathrm e}^{5} \left(-x^{2} {\mathrm e}^{-x}-2 x \,{\mathrm e}^{-x}-2 \,{\mathrm e}^{-x}\right)$&$75$\\ \hline \end{longtable}"," ",0,"(x^2*exp(5)+20*x*exp(5)+x^2+x+19)/exp(x)","A"
4878,1,8,15,0.020000," ","int((exp(x)*x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x}-\ln \left(x \right)$&$8$\\ norman&${\mathrm e}^{x}-\ln \left(x \right)$&$8$\\ risch&${\mathrm e}^{x}-\ln \left(x \right)$&$8$\\ \hline \end{longtable}"," ",0,"exp(x)-ln(x)","A"
4879,1,222,22,0.209000," ","int(((2*x^4+512*x^2)*exp(x^2)*ln(x^2/(x^2+256))+(2*x^5+513*x^3+256*x+512)*exp(x^2))*exp(exp(x^2)*ln(x^2/(x^2+256))+exp(x^2)*x+1)/(x^3+256*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2 \,{\mathrm e}^{x^{2}}} \left(x^{2}+256\right)^{-{\mathrm e}^{x^{2}}} {\mathrm e}^{1-\frac{i {\mathrm e}^{x^{2}} \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+i {\mathrm e}^{x^{2}} \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-\frac{i {\mathrm e}^{x^{2}} \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}}{2}+\frac{i {\mathrm e}^{x^{2}} \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{x^{2}+256}\right)^{2}}{2}-\frac{i {\mathrm e}^{x^{2}} \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{x^{2}+256}\right) \mathrm{csgn}\left(\frac{i}{x^{2}+256}\right)}{2}-\frac{i {\mathrm e}^{x^{2}} \pi  \mathrm{csgn}\left(\frac{i x^{2}}{x^{2}+256}\right)^{3}}{2}+\frac{i {\mathrm e}^{x^{2}} \pi  \mathrm{csgn}\left(\frac{i x^{2}}{x^{2}+256}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}+256}\right)}{2}+{\mathrm e}^{x^{2}} x}$&$222$\\ \hline \end{longtable}"," ",0,"x^(2*exp(x^2))*(x^2+256)^(-exp(x^2))*exp(1-1/2*I*exp(x^2)*Pi*csgn(I*x^2)^3+I*exp(x^2)*Pi*csgn(I*x^2)^2*csgn(I*x)-1/2*I*exp(x^2)*Pi*csgn(I*x^2)*csgn(I*x)^2+1/2*I*exp(x^2)*Pi*csgn(I*x^2)*csgn(I*x^2/(x^2+256))^2-1/2*I*exp(x^2)*Pi*csgn(I*x^2)*csgn(I*x^2/(x^2+256))*csgn(I/(x^2+256))-1/2*I*exp(x^2)*Pi*csgn(I*x^2/(x^2+256))^3+1/2*I*exp(x^2)*Pi*csgn(I*x^2/(x^2+256))^2*csgn(I/(x^2+256))+exp(x^2)*x)","C"
4880,1,20,19,0.163000," ","int(((-2*x^2-5*x-6)*exp(x)+(-4*x-12)*ln(3)+26*x+78)/(exp(x)^2*x^3+(4*x^3*ln(3)-26*x^3)*exp(x)+4*x^3*ln(3)^2-52*x^3*ln(3)+169*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x +3}{\left({\mathrm e}^{x}-13+2 \ln \left(3\right)\right) x^{2}}$&$20$\\ risch&$\frac{2 x +3}{\left({\mathrm e}^{x}-13+2 \ln \left(3\right)\right) x^{2}}$&$20$\\ \hline \end{longtable}"," ",0,"(2*x+3)/(exp(x)-13+2*ln(3))/x^2","A"
4881,1,22,19,0.096000," ","int((-33*x^2+44*x+352)*exp(1/3*(9*x-4)/x)*exp(11*exp(1/3*(9*x-4)/x)/(x+8))/(9*x^4+144*x^3+576*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{11 \,{\mathrm e}^{\frac{9 x -4}{3 x}}}{x +8}}}{3}$&$22$\\ norman&$\frac{\frac{8 x \,{\mathrm e}^{\frac{11 \,{\mathrm e}^{\frac{9 x -4}{3 x}}}{x +8}}}{3}+\frac{x^{2} {\mathrm e}^{\frac{11 \,{\mathrm e}^{\frac{9 x -4}{3 x}}}{x +8}}}{3}}{x \left(x +8\right)}$&$57$\\ \hline \end{longtable}"," ",0,"1/3*exp(11*exp(1/3*(9*x-4)/x)/(x+8))","A"
4882,1,17,16,0.044000," ","int(((2*exp(x)+4)*ln(9*exp(x)+18)*ln(ln(9*exp(x)+18))+(8*exp(x)+16)*ln(9*exp(x)+18)-2*exp(x)*x)/((5*exp(x)+10)*ln(9*exp(x)+18)*ln(ln(9*exp(x)+18))^2+((10*x+40)*exp(x)+20*x+80)*ln(9*exp(x)+18)*ln(ln(9*exp(x)+18))+((5*x^2+40*x+80)*exp(x)+10*x^2+80*x+160)*ln(9*exp(x)+18)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{5 \left(\ln \left(\ln \left(9 \,{\mathrm e}^{x}+18\right)\right)+4+x \right)}$&$17$\\ \hline \end{longtable}"," ",0,"2/5*x/(ln(ln(9*exp(x)+18))+4+x)","A"
4883,1,17,14,0.041000," ","int((5*ln(x)^2+(10*x-2)*ln(x)+5*x^2+2)/(5*x*ln(x)^2+(10*x^2-2*x)*ln(x)+5*x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left(-\frac{2}{5}+x +\ln \left(x \right)\right)-\ln \left(x +\ln \left(x \right)\right)$&$17$\\ norman&$\ln \left(x \right)-\ln \left(x +\ln \left(x \right)\right)+\ln \left(5 x +5 \ln \left(x \right)-2\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(-2/5+x+ln(x))-ln(x+ln(x))","A"
4884,1,19,17,0.218000," ","int((-3*exp(5/2)^2-2*exp(5/2))/((9*x^2+66*x+121)*exp(5/2)^2+(12*x^2+44*x)*exp(5/2)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{\frac{5}{2}}}{3 \,{\mathrm e}^{\frac{5}{2}} x +11 \,{\mathrm e}^{\frac{5}{2}}+2 x}$&$19$\\ norman&$\frac{\left(-\frac{3 \,{\mathrm e}^{\frac{5}{2}}}{11}-\frac{2}{11}\right) x}{3 \,{\mathrm e}^{\frac{5}{2}} x +11 \,{\mathrm e}^{\frac{5}{2}}+2 x}$&$24$\\ risch&$\frac{{\mathrm e}^{5}}{\left(3 \,{\mathrm e}^{\frac{5}{2}}+2\right) \left({\mathrm e}^{\frac{5}{2}} x +\frac{11 \,{\mathrm e}^{\frac{5}{2}}}{3}+\frac{2 x}{3}\right)}+\frac{2 \,{\mathrm e}^{\frac{5}{2}}}{3 \left(3 \,{\mathrm e}^{\frac{5}{2}}+2\right) \left({\mathrm e}^{\frac{5}{2}} x +\frac{11 \,{\mathrm e}^{\frac{5}{2}}}{3}+\frac{2 x}{3}\right)}$&$53$\\ meijerg&$-\frac{3 \left(3 \,{\mathrm e}^{\frac{5}{2}}+2\right)^{2} x}{121 \left(9 \,{\mathrm e}^{5}+12 \,{\mathrm e}^{\frac{5}{2}}+4\right) \left(1+\frac{x \,{\mathrm e}^{-\frac{5}{2}} \left(3 \,{\mathrm e}^{\frac{5}{2}}+2\right)}{11}\right)}-\frac{2 \,{\mathrm e}^{-\frac{5}{2}} \left(3 \,{\mathrm e}^{\frac{5}{2}}+2\right)^{2} x}{121 \left(9 \,{\mathrm e}^{5}+12 \,{\mathrm e}^{\frac{5}{2}}+4\right) \left(1+\frac{x \,{\mathrm e}^{-\frac{5}{2}} \left(3 \,{\mathrm e}^{\frac{5}{2}}+2\right)}{11}\right)}$&$80$\\ \hline \end{longtable}"," ",0,"exp(5/2)/(3*exp(5/2)*x+11*exp(5/2)+2*x)","A"
4885,1,100,25,0.092000," ","int((((256*x^2-64)*exp(1)^2+(-512*x^3+96*x)*exp(1)+256*x^4-32*x^2)*exp(x^2)^8+((-768*x^3+192*x)*exp(1)^2+(1536*x^4-256*x^2)*exp(1)-768*x^5+64*x^3)*exp(x^2)^6+((768*x^4-192*x^2)*exp(1)^2+(-1536*x^5+192*x^3)*exp(1)+768*x^6)*exp(x^2)^4+((-256*x^5+64*x^3)*exp(1)^2+512*x^6*exp(1)-256*x^7-64*x^5)*exp(x^2)^2-32*x^5*exp(1)+32*x^6)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-32 x \,{\mathrm e}+16 x^{2}+\frac{16 \left({\mathrm e}^{2}-2 x \,{\mathrm e}+x^{2}\right) {\mathrm e}^{8 x^{2}}}{x^{4}}-\frac{64 \left({\mathrm e}^{2}-2 x \,{\mathrm e}+x^{2}\right) {\mathrm e}^{6 x^{2}}}{x^{3}}+\frac{96 \left({\mathrm e}^{2}-2 x \,{\mathrm e}+x^{2}\right) {\mathrm e}^{4 x^{2}}}{x^{2}}-\frac{64 \left({\mathrm e}^{2}-2 x \,{\mathrm e}+x^{2}\right) {\mathrm e}^{2 x^{2}}}{x}$&$100$\\ default&$16 x^{2}+\frac{16 \,{\mathrm e}^{8 x^{2}}}{x^{2}}-\frac{64 \,{\mathrm e}^{6 x^{2}}}{x}+96 \,{\mathrm e}^{4 x^{2}}-64 x \,{\mathrm e}^{2 x^{2}}-384 \,{\mathrm e} \sqrt{\pi}\, \erfi \left(2 x \right)-64 \,{\mathrm e}^{2} \sqrt{2}\, \sqrt{\pi}\, \erfi \left(\sqrt{2}\, x \right)-64 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{8 x^{2}}}{4 x^{4}}-\frac{2 \,{\mathrm e}^{8 x^{2}}}{x^{2}}-16 \expIntegralEi \left(1, -8 x^{2}\right)\right)+96 \,{\mathrm e} \left(-\frac{{\mathrm e}^{8 x^{2}}}{3 x^{3}}-\frac{16 \,{\mathrm e}^{8 x^{2}}}{3 x}+\frac{32 \sqrt{2}\, \sqrt{\pi}\, \erfi \left(2 \sqrt{2}\, x \right)}{3}\right)+192 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{6 x^{2}}}{3 x^{3}}-\frac{4 \,{\mathrm e}^{6 x^{2}}}{x}+4 \sqrt{6}\, \sqrt{\pi}\, \erfi \left(\sqrt{6}\, x \right)\right)-256 \,{\mathrm e} \left(-\frac{{\mathrm e}^{6 x^{2}}}{2 x^{2}}-3 \expIntegralEi \left(1, -6 x^{2}\right)\right)-192 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{4 x^{2}}}{2 x^{2}}-2 \expIntegralEi \left(1, -4 x^{2}\right)\right)+256 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{8 x^{2}}}{2 x^{2}}-4 \expIntegralEi \left(1, -8 x^{2}\right)\right)+192 \,{\mathrm e} \left(-\frac{{\mathrm e}^{4 x^{2}}}{x}+2 \sqrt{\pi}\, \erfi \left(2 x \right)\right)-512 \,{\mathrm e} \left(-\frac{{\mathrm e}^{8 x^{2}}}{x}+2 \sqrt{2}\, \sqrt{\pi}\, \erfi \left(2 \sqrt{2}\, x \right)\right)+64 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{2 x^{2}}}{x}+\sqrt{2}\, \sqrt{\pi}\, \erfi \left(\sqrt{2}\, x \right)\right)-768 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{6 x^{2}}}{x}+\sqrt{6}\, \sqrt{\pi}\, \erfi \left(\sqrt{6}\, x \right)\right)-768 \,{\mathrm e} \expIntegralEi \left(1, -6 x^{2}\right)-384 \,{\mathrm e}^{2} \expIntegralEi \left(1, -4 x^{2}\right)+128 \,{\mathrm e} \,{\mathrm e}^{2 x^{2}}-32 x \,{\mathrm e}$&$434$\\ \hline \end{longtable}"," ",0,"-32*x*exp(1)+16*x^2+16*(exp(2)-2*x*exp(1)+x^2)/x^4*exp(8*x^2)-64*(exp(2)-2*x*exp(1)+x^2)/x^3*exp(6*x^2)+96*(exp(2)-2*x*exp(1)+x^2)/x^2*exp(4*x^2)-64*(exp(2)-2*x*exp(1)+x^2)/x*exp(2*x^2)","B"
4886,1,24,22,0.259000," ","int(((x*exp(5)-x*exp(4)+x^2)*ln(-1/(3*exp(5)-3*exp(4)+3*x))+4*exp(5)-4*exp(4)-x^2+4*x)*exp(1/4*x*ln(-1/(3*exp(5)-3*exp(4)+3*x)))/(exp(5)+x-exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \left(-\frac{1}{3 \,{\mathrm e}^{5}-3 \,{\mathrm e}^{4}+3 x}\right)^{\frac{x}{4}}$&$24$\\ default&$4 x \,{\mathrm e}^{\frac{x \ln \left(-\frac{1}{3 \,{\mathrm e}^{5}-3 \,{\mathrm e}^{4}+3 x}\right)}{4}}$&$25$\\ norman&$4 x \,{\mathrm e}^{\frac{x \ln \left(-\frac{1}{3 \,{\mathrm e}^{5}-3 \,{\mathrm e}^{4}+3 x}\right)}{4}}$&$25$\\ \hline \end{longtable}"," ",0,"4*x*(-1/(3*exp(5)-3*exp(4)+3*x))^(1/4*x)","A"
4887,1,83,23,0.880000," ","int(((2*x^2+4*x)*exp(x^2)*ln(4*x^2+16*x+16)^3+((x^2+3*x+2)*exp(x)+2*x^2+12*x+16)*ln(4*x^2+16*x+16)-4*exp(x)*x-4*x^2-32*x)/(2+x)/ln(4*x^2+16*x+16)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{2}}-\frac{4 x \left(x +{\mathrm e}^{x}+8\right)}{\left(\pi  \mathrm{csgn}\left(i \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(2+x \right)\right) \mathrm{csgn}\left(i \left(2+x \right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(2+x \right)^{2}\right)^{3}+4 i \ln \left(2\right)+4 i \ln \left(2+x \right)\right)^{2}}$&$83$\\ \hline \end{longtable}"," ",0,"exp(x^2)-4*x*(x+exp(x)+8)/(Pi*csgn(I*(2+x))^2*csgn(I*(2+x)^2)-2*Pi*csgn(I*(2+x))*csgn(I*(2+x)^2)^2+Pi*csgn(I*(2+x)^2)^3+4*I*ln(2)+4*I*ln(2+x))^2","C"
4888,1,40,27,0.290000," ","int(((8*x^3-16*x^2)*exp(3)^2+(-16*x^3+248*x^2-432*x)*exp(3)-x^5+8*x^3-232*x^2+1728*x-2592)*exp((4*x^2*exp(3)^2+(-8*x^2+72*x)*exp(3)+4*x^2-72*x+324)/x^4)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{\frac{-8 x^{2} {\mathrm e}^{3}+4 x^{2} {\mathrm e}^{6}+72 x \,{\mathrm e}^{3}+4 x^{2}-72 x +324}{x^{4}}} \left(x -2\right)$&$40$\\ risch&$\left(2-x \right) {\mathrm e}^{-\frac{4 \left(2 x^{2} {\mathrm e}^{3}-x^{2} {\mathrm e}^{6}-18 x \,{\mathrm e}^{3}-x^{2}+18 x -81\right)}{x^{4}}}$&$42$\\ norman&$\frac{2 x^{4} {\mathrm e}^{\frac{4 x^{2} {\mathrm e}^{6}+\left(-8 x^{2}+72 x \right) {\mathrm e}^{3}+4 x^{2}-72 x +324}{x^{4}}}-x^{5} {\mathrm e}^{\frac{4 x^{2} {\mathrm e}^{6}+\left(-8 x^{2}+72 x \right) {\mathrm e}^{3}+4 x^{2}-72 x +324}{x^{4}}}}{x^{4}}$&$88$\\ \hline \end{longtable}"," ",0,"-exp(4*(x^2*exp(3)^2-2*x^2*exp(3)+18*x*exp(3)+x^2-18*x+81)/x^4)*(x-2)","A"
4889,1,32,23,0.039000," ","int((((-2*x^4-10)*ln(x)+4*x^4)*exp(ln(x)^2)+(-x^5+4*x^4-5*x)*exp(x)-6*x^5+10*x)/(x^9+10*x^5+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x -{\mathrm e}^{x}}{x^{4}+5}-\frac{{\mathrm e}^{\ln \left(x \right)^{2}}}{x^{4}+5}$&$32$\\ \hline \end{longtable}"," ",0,"(2*x-exp(x))/(x^4+5)-1/(x^4+5)*exp(ln(x)^2)","A"
4890,0,0,26,0.035000," ","int(((-ln(x^2)+4*(x-1)*ln(2)+x^2-x)*ln(ln(x^2)+4*(1-x)*ln(2)-x^2+x)*ln(ln(ln(x^2)+4*(1-x)*ln(2)-x^2+x))*ln(ln(ln(ln(x^2)+4*(1-x)*ln(2)-x^2+x)))+(-ln(x^2)+4*(x-1)*ln(2)+x^2-x)*ln(ln(x^2)+4*(1-x)*ln(2)-x^2+x)*ln(ln(ln(x^2)+4*(1-x)*ln(2)-x^2+x))-4*x*ln(2)-2*x^2+x+2)/(x^2*ln(x^2)+4*(-x^3+x^2)*ln(2)-x^4+x^3)/ln(ln(x^2)+4*(1-x)*ln(2)-x^2+x)/ln(ln(ln(x^2)+4*(1-x)*ln(2)-x^2+x)),x)","\[\int \frac{\left(-\ln \left(x^{2}\right)+4 \left(x -1\right) \ln \left(2\right)+x^{2}-x \right) \ln \left(\ln \left(x^{2}\right)+4 \left(1-x \right) \ln \left(2\right)-x^{2}+x \right) \ln \left(\ln \left(\ln \left(x^{2}\right)+4 \left(1-x \right) \ln \left(2\right)-x^{2}+x \right)\right) \ln \left(\ln \left(\ln \left(\ln \left(x^{2}\right)+4 \left(1-x \right) \ln \left(2\right)-x^{2}+x \right)\right)\right)+\left(-\ln \left(x^{2}\right)+4 \left(x -1\right) \ln \left(2\right)+x^{2}-x \right) \ln \left(\ln \left(x^{2}\right)+4 \left(1-x \right) \ln \left(2\right)-x^{2}+x \right) \ln \left(\ln \left(\ln \left(x^{2}\right)+4 \left(1-x \right) \ln \left(2\right)-x^{2}+x \right)\right)-4 x \ln \left(2\right)-2 x^{2}+x +2}{\left(x^{2} \ln \left(x^{2}\right)+4 \left(-x^{3}+x^{2}\right) \ln \left(2\right)-x^{4}+x^{3}\right) \ln \left(\ln \left(x^{2}\right)+4 \left(1-x \right) \ln \left(2\right)-x^{2}+x \right) \ln \left(\ln \left(\ln \left(x^{2}\right)+4 \left(1-x \right) \ln \left(2\right)-x^{2}+x \right)\right)}\, dx\]"," ",0,"int(((-ln(x^2)+4*(x-1)*ln(2)+x^2-x)*ln(ln(x^2)+4*(1-x)*ln(2)-x^2+x)*ln(ln(ln(x^2)+4*(1-x)*ln(2)-x^2+x))*ln(ln(ln(ln(x^2)+4*(1-x)*ln(2)-x^2+x)))+(-ln(x^2)+4*(x-1)*ln(2)+x^2-x)*ln(ln(x^2)+4*(1-x)*ln(2)-x^2+x)*ln(ln(ln(x^2)+4*(1-x)*ln(2)-x^2+x))-4*x*ln(2)-2*x^2+x+2)/(x^2*ln(x^2)+4*(-x^3+x^2)*ln(2)-x^4+x^3)/ln(ln(x^2)+4*(1-x)*ln(2)-x^2+x)/ln(ln(ln(x^2)+4*(1-x)*ln(2)-x^2+x)),x)","F"
4891,1,33,17,0.037000," ","int(-4*x^3*ln(x)+(2*x^4+4*x^3)*exp(2+x)^2+(-4*x^4-16*x^3)*exp(2+x)+15*x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{4} \ln \left(x \right)+4 x^{4}+x^{4} {\mathrm e}^{2 x +4}-4 x^{4} {\mathrm e}^{2+x}$&$33$\\ default&$128 \,{\mathrm e}^{2+x} \left(2+x \right)-64 \,{\mathrm e}^{2+x}+32 \,{\mathrm e}^{2+x} \left(2+x \right)^{3}-96 \,{\mathrm e}^{2+x} \left(2+x \right)^{2}-4 \,{\mathrm e}^{2+x} \left(2+x \right)^{4}+{\mathrm e}^{2 x +4} \left(2+x \right)^{4}-8 \left(2+x \right)^{3} {\mathrm e}^{2 x +4}+24 \left(2+x \right)^{2} {\mathrm e}^{2 x +4}-32 \left(2+x \right) {\mathrm e}^{2 x +4}+16 \,{\mathrm e}^{2 x +4}+4 x^{4}-x^{4} \ln \left(x \right)$&$119$\\ \hline \end{longtable}"," ",0,"-x^4*ln(x)+4*x^4+x^4*exp(2*x+4)-4*x^4*exp(2+x)","A"
4892,1,23,29,0.045000," ","int(-4*exp(3+x)-2*x*exp(5/4)+9*x^2+5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x^{3}+5 x -x^{2} {\mathrm e}^{\frac{5}{4}}-4 \,{\mathrm e}^{3+x}$&$23$\\ norman&$3 x^{3}+5 x -x^{2} {\mathrm e}^{\frac{5}{4}}-4 \,{\mathrm e}^{3+x}$&$23$\\ risch&$3 x^{3}+5 x -x^{2} {\mathrm e}^{\frac{5}{4}}-4 \,{\mathrm e}^{3+x}$&$23$\\ derivativedivides&$15+5 x +3 x^{3}-2 \,{\mathrm e}^{\frac{5}{4}} \left(\frac{\left(3+x \right)^{2}}{2}-9-3 x \right)-4 \,{\mathrm e}^{3+x}$&$33$\\ \hline \end{longtable}"," ",0,"3*x^3+5*x-x^2*exp(5/4)-4*exp(3+x)","A"
4893,1,15,20,0.181000," ","int((-x^2+2*x)/(4*x^2-8*x+4)/exp(4+ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x^{2} {\mathrm e}^{-4}}{8 \left(x -1\right)}$&$15$\\ risch&$-\frac{{\mathrm e}^{-4} x}{8}-\frac{{\mathrm e}^{-4}}{8 \left(x -1\right)}$&$16$\\ gosper&$-\frac{x^{2} {\mathrm e}^{-4}}{8 \left(x -1\right)}$&$18$\\ default&$\frac{{\mathrm e}^{-4} \left(-x -\frac{1}{x -1}\right)}{8}$&$21$\\ meijerg&$\frac{{\mathrm e}^{-4-\ln \left(2\right)} \left(-\frac{x \left(-3 x +6\right)}{3 \left(1-x \right)}-2 \ln \left(1-x \right)\right)}{4}+\frac{{\mathrm e}^{-4-\ln \left(2\right)} \left(\frac{x}{1-x}+\ln \left(1-x \right)\right)}{2}$&$60$\\ \hline \end{longtable}"," ",0,"-1/8*x^2/exp(4)/(x-1)","A"
4894,1,12,9,0.017000," ","int(64*x^3+80*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$16 x^{4}+40 x^{2}$&$12$\\ norman&$16 x^{4}+40 x^{2}$&$12$\\ risch&$16 x^{4}+40 x^{2}$&$12$\\ gosper&$8 x^{2} \left(2 x^{2}+5\right)$&$13$\\ \hline \end{longtable}"," ",0,"16*x^4+40*x^2","A"
4895,1,112,28,0.440000," ","int(((-25*x^3+150*x^2-225*x)*ln(exp(x)^2/x)^2+(-1240*x^3+7470*x^2-11250*x)*ln(exp(x)^2/x)-15476*x^3+93650*x^2-141855*x+450)/((100*x^3-600*x^2+900*x)*ln(exp(x)^2/x)^2+(4960*x^3-29880*x^2+45000*x)*ln(exp(x)^2/x)+61504*x^3-372000*x^2+562500*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\left(-31-\frac{5 \ln \left(\frac{{\mathrm e}^{2 x}}{x}\right)}{4}-\frac{5 \ln \left(x \right)}{4}+\frac{5 x}{2}\right) x^{2}+\frac{13 x}{4}+\frac{5 x^{2} \ln \left(x \right)}{4}-\frac{5 x^{3}}{2}+\frac{1095}{4}+\frac{45 \ln \left(\frac{{\mathrm e}^{2 x}}{x}\right)}{4}}{10 x^{2}-5 x \ln \left(x \right)+5 x \left(\ln \left(\frac{{\mathrm e}^{2 x}}{x}\right)-2 \ln \left({\mathrm e}^{x}\right)+\ln \left(x \right)\right)+10 x \left(\ln \left({\mathrm e}^{x}\right)-x \right)+124 x -15 \ln \left(\frac{{\mathrm e}^{2 x}}{x}\right)-375}$&$112$\\ risch&$-\frac{x}{4}+\frac{5 i \left(x -3\right)}{5 \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{x}\right)-5 \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{x}\right)^{2}+5 \pi  x \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-10 \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+5 \pi  x \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-5 \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{x}\right)^{2}+5 \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{x}\right)^{3}-15 \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{x}\right)+15 \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{x}\right)^{2}-15 \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+30 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}-15 \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}+15 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{x}\right)^{2}-15 \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{x}\right)^{3}+30 i \ln \left(x \right)-60 i \ln \left({\mathrm e}^{x}\right)+248 i x +20 i x \ln \left({\mathrm e}^{x}\right)-10 i x \ln \left(x \right)-750 i}$&$337$\\ \hline \end{longtable}"," ",0,"((-31-5/4*ln(exp(x)^2/x)-5/4*ln(x)+5/2*x)*x^2+13/4*x+5/4*x^2*ln(x)-5/2*x^3+1095/4+45/4*ln(exp(x)^2/x))/(10*x^2-5*x*ln(x)+5*x*(ln(exp(x)^2/x)-2*ln(exp(x))+ln(x))+10*x*(ln(exp(x))-x)+124*x-15*ln(exp(x)^2/x)-375)","B"
4896,1,41,20,0.111000," ","int((((-8*x^2-124*x+64)*ln(x)+(2*x^2+32*x)*exp(2*x)+4*x+64)*ln(x+16)+(-72*x^2-1112*x+576)*ln(x)+(19*x^2+288*x)*exp(2*x)+36*x+576)/(x+16)/exp(2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \left(x \,{\mathrm e}^{2 x}+4 \ln \left(x \right)\right) {\mathrm e}^{-2 x} \ln \left(x +16\right)+9 x \left(x \,{\mathrm e}^{2 x}+4 \ln \left(x \right)\right) {\mathrm e}^{-2 x}$&$41$\\ \hline \end{longtable}"," ",0,"x*(x*exp(2*x)+4*ln(x))*exp(-2*x)*ln(x+16)+9*x*(x*exp(2*x)+4*ln(x))*exp(-2*x)","A"
4897,1,17,20,0.203000," ","int((-3*x^4+42*x^3-180*x^2)/(10*x^2-80*x+160)/exp(4/5+1/5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x^{3} {\mathrm e}^{-\frac{4}{5}-\frac{x}{5}}}{2 \left(x -4\right)}$&$17$\\ gosper&$\frac{3 x^{3} {\mathrm e}^{-\frac{4}{5}-\frac{x}{5}}}{2 \left(x -4\right)}$&$19$\\ norman&$\frac{3 x^{3} {\mathrm e}^{-\frac{4}{5}-\frac{x}{5}}}{2 \left(x -4\right)}$&$19$\\ derivativedivides&$\frac{96 \,{\mathrm e}^{-\frac{4}{5}-\frac{x}{5}}}{x -4}+486 \,{\mathrm e}^{-\frac{4}{5}-\frac{x}{5}}-45 \left(x +25\right) {\mathrm e}^{-\frac{4}{5}-\frac{x}{5}}+\frac{3 \left(25 \left(\frac{4}{5}+\frac{x}{5}\right)^{2}+426+26 x \right) {\mathrm e}^{-\frac{4}{5}-\frac{x}{5}}}{2}$&$56$\\ default&$\frac{96 \,{\mathrm e}^{-\frac{4}{5}-\frac{x}{5}}}{x -4}+486 \,{\mathrm e}^{-\frac{4}{5}-\frac{x}{5}}-45 \left(x +25\right) {\mathrm e}^{-\frac{4}{5}-\frac{x}{5}}+\frac{3 \left(25 \left(\frac{4}{5}+\frac{x}{5}\right)^{2}+426+26 x \right) {\mathrm e}^{-\frac{4}{5}-\frac{x}{5}}}{2}$&$56$\\ \hline \end{longtable}"," ",0,"3/2*x^3*exp(-4/5-1/5*x)/(x-4)","A"
4898,1,19,18,0.034000," ","int(1/2*((-10*ln(2)+5*x-5)*ln(5)+50)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-\frac{5 x \ln \left(5\right)}{2}-25+5 \ln \left(2\right) \ln \left(5\right)\right) {\mathrm e}^{-x}$&$19$\\ gosper&$\frac{5 \left(2 \ln \left(2\right) \ln \left(5\right)-x \ln \left(5\right)-10\right) {\mathrm e}^{-x}}{2}$&$20$\\ risch&$\frac{\left(10 \ln \left(2\right) \ln \left(5\right)-5 x \ln \left(5\right)-50\right) {\mathrm e}^{-x}}{2}$&$20$\\ default&$-25 \,{\mathrm e}^{-x}-\frac{5 \,{\mathrm e}^{-x} x \ln \left(5\right)}{2}+5 \,{\mathrm e}^{-x} \ln \left(2\right) \ln \left(5\right)$&$27$\\ meijerg&$25-25 \,{\mathrm e}^{-x}-5 \ln \left(2\right) \ln \left(5\right) \left(1-{\mathrm e}^{-x}\right)+\frac{5 \ln \left(5\right) \left(1-\frac{\left(2 x +2\right) {\mathrm e}^{-x}}{2}\right)}{2}-\frac{5 \ln \left(5\right) \left(1-{\mathrm e}^{-x}\right)}{2}$&$52$\\ \hline \end{longtable}"," ",0,"(-5/2*x*ln(5)-25+5*ln(2)*ln(5))/exp(x)","A"
4899,1,18,20,0.099000," ","int(((-6*x+3)*exp(2*x)+3*x^2+3*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x +3 \ln \left(x \right)-\frac{3 \,{\mathrm e}^{2 x}}{x}$&$18$\\ derivativedivides&$3 x +3 \ln \left(2 x \right)-\frac{3 \,{\mathrm e}^{2 x}}{x}$&$20$\\ default&$3 x +3 \ln \left(2 x \right)-\frac{3 \,{\mathrm e}^{2 x}}{x}$&$20$\\ norman&$\frac{3 x^{2}-3 \,{\mathrm e}^{2 x}}{x}+3 \ln \left(x \right)$&$22$\\ \hline \end{longtable}"," ",0,"3*x+3*ln(x)-3*exp(2*x)/x","A"
4900,1,30,23,0.089000," ","int((-x*ln(x*ln(5)^2+5*x)+x*exp(1)-3*x^3+2*x^2-x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(x \ln \left(5\right)^{2}+5 x \right)-x^{3}+x \,{\mathrm e}+x^{2}+\ln \left(x \right)$&$30$\\ norman&$x^{2}+x \,{\mathrm e}+\ln \left(x \ln \left(5\right)^{2}+5 x \right)-x^{3}-x \ln \left(x \ln \left(5\right)^{2}+5 x \right)$&$39$\\ derivativedivides&$\frac{\ln \left(5\right)^{6} \ln \left(\left(\ln \left(5\right)^{2}+5\right) x \right)}{\left(\ln \left(5\right)^{2}+5\right)^{3}}+\frac{\ln \left(5\right)^{4} {\mathrm e} x}{\left(\ln \left(5\right)^{2}+5\right)^{2}}-\frac{\ln \left(5\right)^{4} \left(\left(\ln \left(5\right)^{2}+5\right) x \ln \left(\left(\ln \left(5\right)^{2}+5\right) x \right)-\left(\ln \left(5\right)^{2}+5\right) x \right)}{\left(\ln \left(5\right)^{2}+5\right)^{3}}-\frac{\ln \left(5\right)^{4} x}{\left(\ln \left(5\right)^{2}+5\right)^{2}}+\frac{15 \ln \left(5\right)^{4} \ln \left(\left(\ln \left(5\right)^{2}+5\right) x \right)}{\left(\ln \left(5\right)^{2}+5\right)^{3}}+\frac{10 \ln \left(5\right)^{2} {\mathrm e} x}{\left(\ln \left(5\right)^{2}+5\right)^{2}}-\frac{10 \ln \left(5\right)^{2} \left(\left(\ln \left(5\right)^{2}+5\right) x \ln \left(\left(\ln \left(5\right)^{2}+5\right) x \right)-\left(\ln \left(5\right)^{2}+5\right) x \right)}{\left(\ln \left(5\right)^{2}+5\right)^{3}}+\frac{\ln \left(5\right)^{2} x^{2}}{\ln \left(5\right)^{2}+5}-\frac{10 x \ln \left(5\right)^{2}}{\left(\ln \left(5\right)^{2}+5\right)^{2}}-x^{3}+\frac{75 \ln \left(5\right)^{2} \ln \left(\left(\ln \left(5\right)^{2}+5\right) x \right)}{\left(\ln \left(5\right)^{2}+5\right)^{3}}+\frac{25 \,{\mathrm e} x}{\left(\ln \left(5\right)^{2}+5\right)^{2}}-\frac{25 \left(\left(\ln \left(5\right)^{2}+5\right) x \ln \left(\left(\ln \left(5\right)^{2}+5\right) x \right)-\left(\ln \left(5\right)^{2}+5\right) x \right)}{\left(\ln \left(5\right)^{2}+5\right)^{3}}+\frac{5 x^{2}}{\ln \left(5\right)^{2}+5}-\frac{25 x}{\left(\ln \left(5\right)^{2}+5\right)^{2}}+\frac{125 \ln \left(\left(\ln \left(5\right)^{2}+5\right) x \right)}{\left(\ln \left(5\right)^{2}+5\right)^{3}}$&$329$\\ default&$\frac{\ln \left(5\right)^{6} \ln \left(\left(\ln \left(5\right)^{2}+5\right) x \right)}{\left(\ln \left(5\right)^{2}+5\right)^{3}}+\frac{\ln \left(5\right)^{4} {\mathrm e} x}{\left(\ln \left(5\right)^{2}+5\right)^{2}}-\frac{\ln \left(5\right)^{4} \left(\left(\ln \left(5\right)^{2}+5\right) x \ln \left(\left(\ln \left(5\right)^{2}+5\right) x \right)-\left(\ln \left(5\right)^{2}+5\right) x \right)}{\left(\ln \left(5\right)^{2}+5\right)^{3}}-\frac{\ln \left(5\right)^{4} x}{\left(\ln \left(5\right)^{2}+5\right)^{2}}+\frac{15 \ln \left(5\right)^{4} \ln \left(\left(\ln \left(5\right)^{2}+5\right) x \right)}{\left(\ln \left(5\right)^{2}+5\right)^{3}}+\frac{10 \ln \left(5\right)^{2} {\mathrm e} x}{\left(\ln \left(5\right)^{2}+5\right)^{2}}-\frac{10 \ln \left(5\right)^{2} \left(\left(\ln \left(5\right)^{2}+5\right) x \ln \left(\left(\ln \left(5\right)^{2}+5\right) x \right)-\left(\ln \left(5\right)^{2}+5\right) x \right)}{\left(\ln \left(5\right)^{2}+5\right)^{3}}+\frac{\ln \left(5\right)^{2} x^{2}}{\ln \left(5\right)^{2}+5}-\frac{10 x \ln \left(5\right)^{2}}{\left(\ln \left(5\right)^{2}+5\right)^{2}}-x^{3}+\frac{75 \ln \left(5\right)^{2} \ln \left(\left(\ln \left(5\right)^{2}+5\right) x \right)}{\left(\ln \left(5\right)^{2}+5\right)^{3}}+\frac{25 \,{\mathrm e} x}{\left(\ln \left(5\right)^{2}+5\right)^{2}}-\frac{25 \left(\left(\ln \left(5\right)^{2}+5\right) x \ln \left(\left(\ln \left(5\right)^{2}+5\right) x \right)-\left(\ln \left(5\right)^{2}+5\right) x \right)}{\left(\ln \left(5\right)^{2}+5\right)^{3}}+\frac{5 x^{2}}{\ln \left(5\right)^{2}+5}-\frac{25 x}{\left(\ln \left(5\right)^{2}+5\right)^{2}}+\frac{125 \ln \left(\left(\ln \left(5\right)^{2}+5\right) x \right)}{\left(\ln \left(5\right)^{2}+5\right)^{3}}$&$329$\\ \hline \end{longtable}"," ",0,"-x*ln(x*ln(5)^2+5*x)-x^3+x*exp(1)+x^2+ln(x)","A"
4901,1,21,20,0.049000," ","int(((192*x^3+704*x^2+96*x)*exp(2*x)^8-12*x^2+6)*exp(exp(2*x)^8)/(36*x^4+264*x^3+520*x^2+132*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x \,{\mathrm e}^{{\mathrm e}^{16 x}}}{6 x^{2}+22 x +3}$&$21$\\ \hline \end{longtable}"," ",0,"2*x/(6*x^2+22*x+3)*exp(exp(16*x))","A"
4902,1,24,29,0.102000," ","int(((-12*x^2+72*x-96)*exp(x)-12*x^2+48)*exp((3*exp(x)-3*x)/(2*exp(x)-8*x^2+30*x-32))^2/(exp(x)^2+(-8*x^2+30*x-32)*exp(x)+16*x^4-120*x^3+353*x^2-480*x+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{3 \,{\mathrm e}^{x}-3 x}{-4 x^{2}+{\mathrm e}^{x}+15 x -16}}$&$24$\\ \hline \end{longtable}"," ",0,"exp(3*(exp(x)-x)/(-4*x^2+exp(x)+15*x-16))","A"
4903,1,944,24,0.415000," ","int(((2*x^2+16*x+32)*ln(1/3*x*exp((x^2-2*x-8)/(4*x+16)))^2+(x^3+12*x^2+32*x+64)*ln(x)*ln(1/3*x*exp((x^2-2*x-8)/(4*x+16))))/(x^3+8*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 \ln \left(3\right) \ln \left(x \right)^{2}+2 \ln \left(x \right)^{3}+2 \ln \left(3\right)^{2} \ln \left(x \right)-\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{4}}{2}+\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{5}-\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{6}}{2}-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right) \ln \left(x \right)^{2}-\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{4}}{2}+\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{5}+\left(-2 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)+2 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{2}+2 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{2}-2 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{3}-4 \ln \left(3\right) \ln \left(x \right)+4 \ln \left(x \right)^{2}\right) \ln \left({\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)+2 \ln \left(x \right) \ln \left({\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{2}-2 i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{3} \ln \left(x \right)^{2}-2 i \pi  \ln \left(x \right) \ln \left(3\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{2}+2 i \pi  \ln \left(x \right) \ln \left(3\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{3}-\frac{\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{2}}{2}+\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{3}+\pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{3}-2 \pi^{2} \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{4}+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{2} \ln \left(x \right)^{2}+2 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{2} \ln \left(x \right)^{2}-2 i \pi  \ln \left(x \right) \ln \left(3\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)^{2}+2 i \pi  \ln \left(x \right) \ln \left(3\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{\left(x -4\right) \left(2+x \right)}{4 x +16}}\right)$&$944$\\ \hline \end{longtable}"," ",0,"-4*ln(3)*ln(x)^2+2*ln(x)^3+2*ln(3)^2*ln(x)-1/2*Pi^2*ln(x)*csgn(I*exp(1/4*(x-4)*(2+x)/(4+x)))^2*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^4+Pi^2*ln(x)*csgn(I*exp(1/4*(x-4)*(2+x)/(4+x)))*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^5-1/2*Pi^2*ln(x)*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^6-2*I*Pi*csgn(I*x)*csgn(I*exp(1/4*(x-4)*(2+x)/(4+x)))*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))*ln(x)^2-1/2*Pi^2*ln(x)*csgn(I*x)^2*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^4+Pi^2*ln(x)*csgn(I*x)*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^5+(-2*I*ln(x)*Pi*csgn(I*x)*csgn(I*exp(1/4*(x-4)*(2+x)/(4+x)))*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))+2*I*ln(x)*Pi*csgn(I*x)*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^2+2*I*ln(x)*Pi*csgn(I*exp(1/4*(x-4)*(2+x)/(4+x)))*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^2-2*I*ln(x)*Pi*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^3-4*ln(3)*ln(x)+4*ln(x)^2)*ln(exp(1/4*(x-4)*(2+x)/(4+x)))+2*ln(x)*ln(exp(1/4*(x-4)*(2+x)/(4+x)))^2-2*I*Pi*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^3*ln(x)^2-2*I*Pi*ln(x)*ln(3)*csgn(I*x)*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^2+2*I*Pi*ln(x)*ln(3)*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^3-1/2*Pi^2*ln(x)*csgn(I*x)^2*csgn(I*exp(1/4*(x-4)*(2+x)/(4+x)))^2*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^2+Pi^2*ln(x)*csgn(I*x)^2*csgn(I*exp(1/4*(x-4)*(2+x)/(4+x)))*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^3+Pi^2*ln(x)*csgn(I*x)*csgn(I*exp(1/4*(x-4)*(2+x)/(4+x)))^2*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^3-2*Pi^2*ln(x)*csgn(I*x)*csgn(I*exp(1/4*(x-4)*(2+x)/(4+x)))*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^4+2*I*Pi*csgn(I*x)*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^2*ln(x)^2+2*I*Pi*csgn(I*exp(1/4*(x-4)*(2+x)/(4+x)))*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^2*ln(x)^2-2*I*Pi*ln(x)*ln(3)*csgn(I*exp(1/4*(x-4)*(2+x)/(4+x)))*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))^2+2*I*Pi*ln(x)*ln(3)*csgn(I*x)*csgn(I*exp(1/4*(x-4)*(2+x)/(4+x)))*csgn(I*x*exp(1/4*(x-4)*(2+x)/(4+x)))","C"
4904,1,172,23,0.118000," ","int((-64*x^2-256*x+4096)/((256*x^2+1024*x)*ln(5*x^2/(4+x))^2+((-512*x^2-2048*x)*ln(x)-32*x^3-128*x^2)*ln(5*x^2/(4+x))+(256*x^2+1024*x)*ln(x)^2+(32*x^3+128*x^2)*ln(x)+x^4+4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{64 i}{8 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-16 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+8 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+8 \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{4+x}\right) \mathrm{csgn}\left(\frac{i x^{2}}{4+x}\right)-8 \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{4+x}\right)^{2}-8 \pi  \,\mathrm{csgn}\left(\frac{i}{4+x}\right) \mathrm{csgn}\left(\frac{i x^{2}}{4+x}\right)^{2}+8 \pi  \mathrm{csgn}\left(\frac{i x^{2}}{4+x}\right)^{3}+16 i \ln \left(5\right)-i x +16 i \ln \left(x \right)-16 i \ln \left(4+x \right)}$&$172$\\ \hline \end{longtable}"," ",0,"-64*I/(8*Pi*csgn(I*x)^2*csgn(I*x^2)-16*Pi*csgn(I*x)*csgn(I*x^2)^2+8*Pi*csgn(I*x^2)^3+8*Pi*csgn(I*x^2)*csgn(I/(4+x))*csgn(I*x^2/(4+x))-8*Pi*csgn(I*x^2)*csgn(I*x^2/(4+x))^2-8*Pi*csgn(I/(4+x))*csgn(I*x^2/(4+x))^2+8*Pi*csgn(I*x^2/(4+x))^3+16*I*ln(5)-I*x+16*I*ln(x)-16*I*ln(4+x))","C"
4905,1,73,31,0.217000," ","int((((-4*x^3-8*x^2+32*x)*ln(2-x)^2+(-8*x^4-4*x^3+88*x^2-96*x)*ln(2-x)-4*x^5+4*x^4+47*x^3-114*x^2+72*x)*ln(x)*ln(3*ln(x))^2+((-8*x^3+32*x)*ln(2-x)^2+(-16*x^4+24*x^3+64*x^2-96*x)*ln(2-x)-8*x^5+24*x^4+14*x^3-96*x^2+72*x)*ln(3*ln(x))+((-12*x+24)*ln(2-x)-24*x^2+30*x-12)*ln(x))/(((4*x^5-8*x^4)*ln(2-x)^2+(8*x^6-28*x^5+24*x^4)*ln(2-x)+4*x^7-20*x^6+33*x^5-18*x^4)*ln(x)*ln(3*ln(x))^4+((-24*x^3+48*x^2)*ln(2-x)-24*x^4+84*x^3-72*x^2)*ln(x)*ln(3*ln(x))^2+(36*x-72)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{2}+2 x \ln \left(2-x \right)+x +4 \ln \left(2-x \right)-6}{2 \ln \left(2-x \right) \ln \left(3 \ln \left(x \right)\right)^{2} x^{2}+2 \ln \left(3 \ln \left(x \right)\right)^{2} x^{3}-3 \ln \left(3 \ln \left(x \right)\right)^{2} x^{2}-6}$&$73$\\ \hline \end{longtable}"," ",0,"(2*x^2+2*x*ln(2-x)+x+4*ln(2-x)-6)/(2*ln(2-x)*ln(3*ln(x))^2*x^2+2*ln(3*ln(x))^2*x^3-3*ln(3*ln(x))^2*x^2-6)","B"
4906,1,43,31,0.066000," ","int((((-6*x-30)*exp(-ln(4+x)+x-1)-12*x^2-42*x+24)*ln(exp(-ln(4+x)+x-1)+x)+(12*x^2+57*x-12)*exp(-ln(4+x)+x-1)+24*x^3+81*x^2-60*x)/(((4+x)*exp(-ln(4+x)+x-1)+x^2+4*x)*ln(exp(-ln(4+x)+x-1)+x)^2+((-4*x^2-16*x)*exp(-ln(4+x)+x-1)-4*x^3-16*x^2)*ln(exp(-ln(4+x)+x-1)+x)+(4*x^3+15*x^2-4*x)*exp(-ln(4+x)+x-1)+4*x^4+15*x^3-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \ln \left(\ln \left(\frac{{\mathrm e}^{x -1}}{4+x}+x \right)^{2}-4 \ln \left(\frac{{\mathrm e}^{x -1}}{4+x}+x \right) x +x \left(4 x -1\right)\right)$&$43$\\ \hline \end{longtable}"," ",0,"3*ln(ln(1/(4+x)*exp(x-1)+x)^2-4*ln(1/(4+x)*exp(x-1)+x)*x+x*(4*x-1))","A"
4907,1,30,19,0.041000," ","int(((2*ln(2)^2-2*x*ln(2))*ln(x)+(-2*x-6)*ln(2)+2*x^2+7*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}-6 \ln \left(2\right) \ln \left(x \right)+\ln \left(2\right)^{2} \ln \left(x \right)^{2}+7 x -2 x \ln \left(2\right) \ln \left(x \right)$&$30$\\ risch&$x^{2}-6 \ln \left(2\right) \ln \left(x \right)+\ln \left(2\right)^{2} \ln \left(x \right)^{2}+7 x -2 x \ln \left(2\right) \ln \left(x \right)$&$30$\\ default&$\ln \left(2\right)^{2} \ln \left(x \right)^{2}-2 \ln \left(2\right) \left(x \ln \left(x \right)-x \right)-2 x \ln \left(2\right)+x^{2}-6 \ln \left(2\right) \ln \left(x \right)+7 x$&$40$\\ \hline \end{longtable}"," ",0,"x^2-6*ln(2)*ln(x)+ln(2)^2*ln(x)^2+7*x-2*x*ln(2)*ln(x)","A"
4908,1,61,34,0.081000," ","int(((x^4*ln(2)^2+x^4*ln(2))*ln(x)^2+((-2*x^4*ln(2)^2+(-2*x^4-4*x^3)*ln(2)+2*x^4-4*x^3)*exp(x)+(18*x^4+60*x^3+50*x^2)*ln(2)^2+(18*x^4+60*x^3+50*x^2)*ln(2))*ln(x)+(x^4*ln(2)^2+(x^4+4*x^3)*ln(2)+4*x^3+4*x^2)*exp(x)^2+((-18*x^4-60*x^3-50*x^2)*ln(2)^2+(-18*x^4-96*x^3-170*x^2-100*x)*ln(2)+18*x^4+22*x^3-10*x^2)*exp(x)+(81*x^4+540*x^3+1350*x^2+1500*x+625)*ln(2)^2+(81*x^4+540*x^3+1350*x^2+1500*x+625)*ln(2))/(x^4*ln(2)^2*ln(x)^2+((-2*x^4*ln(2)^2-4*x^3*ln(2))*exp(x)+(18*x^4+60*x^3+50*x^2)*ln(2)^2)*ln(x)+(x^4*ln(2)^2+4*x^3*ln(2)+4*x^2)*exp(x)^2+((-18*x^4-60*x^3-50*x^2)*ln(2)^2+(-36*x^3-120*x^2-100*x)*ln(2))*exp(x)+(81*x^4+540*x^3+1350*x^2+1500*x+625)*ln(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x}{\ln \left(2\right)}-\frac{2 x^{2} {\mathrm e}^{x}}{\ln \left(2\right) \left(x^{2} \ln \left(2\right) {\mathrm e}^{x}-x^{2} \ln \left(2\right) \ln \left(x \right)-9 x^{2} \ln \left(2\right)-30 x \ln \left(2\right)+2 \,{\mathrm e}^{x} x -25 \ln \left(2\right)\right)}$&$61$\\ \hline \end{longtable}"," ",0,"x+x/ln(2)-2/ln(2)*x^2*exp(x)/(x^2*ln(2)*exp(x)-x^2*ln(2)*ln(x)-9*x^2*ln(2)-30*x*ln(2)+2*exp(x)*x-25*ln(2))","A"
4909,1,24,20,0.029000," ","int(((2*exp(x)*x+2*x^2)*ln(exp(x)+x)+x^3-x^2)/((exp(x)+x)*ln(exp(x)+x)^2+((-4*x^2+2*x)*exp(x)-4*x^3+2*x^2)*ln(exp(x)+x)+(4*x^4-4*x^3+x^2)*exp(x)+4*x^5-4*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}}{2 x^{2}-x -\ln \left({\mathrm e}^{x}+x \right)}$&$24$\\ \hline \end{longtable}"," ",0,"-x^2/(2*x^2-x-ln(exp(x)+x))","A"
4910,1,257,41,0.237000," ","int((((9*x^7-50*x^6+57*x^5+84*x^4-113*x^3-57*x^2-3*x-1)*exp(x)*ln((9*x^5-32*x^4+2*x^3+56*x^2+x+1)/(9*x^4-36*x^3+18*x^2+36*x+9))+(-9*x^8+50*x^7-57*x^6-84*x^5+113*x^4+57*x^3+3*x^2+x)*exp(x))*ln(ln((9*x^5-32*x^4+2*x^3+56*x^2+x+1)/(9*x^4-36*x^3+18*x^2+36*x+9))-x)+(9*x^7-59*x^6+111*x^5+3*x^4-125*x^3-48*x^2+111*x-4)*exp(x))/((9*x^7-50*x^6+57*x^5+84*x^4-113*x^3-57*x^2-3*x-1)*ln((9*x^5-32*x^4+2*x^3+56*x^2+x+1)/(9*x^4-36*x^3+18*x^2+36*x+9))-9*x^8+50*x^7-57*x^6-84*x^5+113*x^4+57*x^3+3*x^2+x)/ln(ln((9*x^5-32*x^4+2*x^3+56*x^2+x+1)/(9*x^4-36*x^3+18*x^2+36*x+9))-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}}{\ln \left(\ln \left(x^{5}-\frac{32}{9} x^{4}+\frac{2}{9} x^{3}+\frac{56}{9} x^{2}+\frac{1}{9} x +\frac{1}{9}\right)-2 \ln \left(x^{2}-2 x -1\right)+\frac{i \pi  \,\mathrm{csgn}\left(i \left(x^{2}-2 x -1\right)^{2}\right) \left(-\mathrm{csgn}\left(i \left(x^{2}-2 x -1\right)^{2}\right)+\mathrm{csgn}\left(i \left(x^{2}-2 x -1\right)\right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(x^{5}-\frac{32}{9} x^{4}+\frac{2}{9} x^{3}+\frac{56}{9} x^{2}+\frac{1}{9} x +\frac{1}{9}\right)}{\left(x^{2}-2 x -1\right)^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i \left(x^{5}-\frac{32}{9} x^{4}+\frac{2}{9} x^{3}+\frac{56}{9} x^{2}+\frac{1}{9} x +\frac{1}{9}\right)}{\left(x^{2}-2 x -1\right)^{2}}\right)+\mathrm{csgn}\left(i \left(x^{5}-\frac{32}{9} x^{4}+\frac{2}{9} x^{3}+\frac{56}{9} x^{2}+\frac{1}{9} x +\frac{1}{9}\right)\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(x^{5}-\frac{32}{9} x^{4}+\frac{2}{9} x^{3}+\frac{56}{9} x^{2}+\frac{1}{9} x +\frac{1}{9}\right)}{\left(x^{2}-2 x -1\right)^{2}}\right)+\mathrm{csgn}\left(\frac{i}{\left(x^{2}-2 x -1\right)^{2}}\right)\right)}{2}-x \right)}$&$257$\\ \hline \end{longtable}"," ",0,"exp(x)/ln(ln(x^5-32/9*x^4+2/9*x^3+56/9*x^2+1/9*x+1/9)-2*ln(x^2-2*x-1)+1/2*I*Pi*csgn(I*(x^2-2*x-1)^2)*(-csgn(I*(x^2-2*x-1)^2)+csgn(I*(x^2-2*x-1)))^2-1/2*I*Pi*csgn(I*(x^5-32/9*x^4+2/9*x^3+56/9*x^2+1/9*x+1/9)/(x^2-2*x-1)^2)*(-csgn(I*(x^5-32/9*x^4+2/9*x^3+56/9*x^2+1/9*x+1/9)/(x^2-2*x-1)^2)+csgn(I*(x^5-32/9*x^4+2/9*x^3+56/9*x^2+1/9*x+1/9)))*(-csgn(I*(x^5-32/9*x^4+2/9*x^3+56/9*x^2+1/9*x+1/9)/(x^2-2*x-1)^2)+csgn(I/(x^2-2*x-1)^2))-x)","C"
4911,1,318,34,1.047000," ","int((((4*x-16)*exp(x)^4+(-8*x+32)*ln(2)*exp(x)^2+(4*x-16)*ln(2)^2)*ln(-4/(x-4))^2+((32*x-128)*exp(x)^4+((-64*x+256)*ln(2)-2*x^2+9*x-4)*exp(x)^2+(32*x-128)*ln(2)^2+(-x+4)*ln(2))*ln(-4/(x-4))+(64*x-256)*exp(x)^4+((-128*x+512)*ln(2)-8*x^2+37*x-16)*exp(x)^2+(64*x-256)*ln(2)^2+(-5*x+16)*ln(2))/(((4*x^2-12*x-16)*exp(x)^4+(-8*x^2+24*x+32)*ln(2)*exp(x)^2+(4*x^2-12*x-16)*ln(2)^2)*ln(-4/(x-4))^2+((32*x^2-96*x-128)*exp(x)^4+((-64*x^2+192*x+256)*ln(2)+x^2-4*x)*exp(x)^2+(32*x^2-96*x-128)*ln(2)^2+(-x^2+4*x)*ln(2))*ln(-4/(x-4))+(64*x^2-192*x-256)*exp(x)^4+((-128*x^2+384*x+512)*ln(2)+4*x^2-16*x)*exp(x)^2+(64*x^2-192*x-256)*ln(2)^2+(-4*x^2+16*x)*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x +1\right)+\ln \left(\ln \left(x -4\right)-\frac{i \left(4 \pi  \ln \left(2\right) x -4 \pi  x \,{\mathrm e}^{2 x}+16 i x \,{\mathrm e}^{2 x}-16 i x \ln \left(2\right)+8 i \ln \left(2\right) x \,{\mathrm e}^{2 x}-4 \pi  x \mathrm{csgn}\left(\frac{i}{x -4}\right)^{3} {\mathrm e}^{2 x}+4 \pi  \ln \left(2\right) x \mathrm{csgn}\left(\frac{i}{x -4}\right)^{3}+8 i {\mathrm e}^{2 x} \ln \left(2\right)-8 i \ln \left(2\right)^{2}+i x -8 i \ln \left(2\right)^{2} x +16 i {\mathrm e}^{2 x}+4 \ln \left(2\right) \pi  \mathrm{csgn}\left(\frac{i}{x -4}\right)^{3}-4 \pi  \mathrm{csgn}\left(\frac{i}{x -4}\right)^{3} {\mathrm e}^{2 x}+4 \pi  \mathrm{csgn}\left(\frac{i}{x -4}\right)^{2} {\mathrm e}^{2 x}-4 \ln \left(2\right) \pi  \mathrm{csgn}\left(\frac{i}{x -4}\right)^{2}+4 \ln \left(2\right) \pi -4 \pi  \,{\mathrm e}^{2 x}-4 \pi  \ln \left(2\right) x \mathrm{csgn}\left(\frac{i}{x -4}\right)^{2}+4 \pi  x \mathrm{csgn}\left(\frac{i}{x -4}\right)^{2} {\mathrm e}^{2 x}-16 i \ln \left(2\right)\right)}{4 \left(-x \,{\mathrm e}^{2 x}+x \ln \left(2\right)-{\mathrm e}^{2 x}+\ln \left(2\right)\right)}\right)-\ln \left(\ln \left(x -4\right)-\frac{i \left(-2 \pi  \mathrm{csgn}\left(\frac{i}{x -4}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i}{x -4}\right)^{3}-4 i \ln \left(2\right)+2 \pi -8 i\right)}{2}\right)$&$318$\\ \hline \end{longtable}"," ",0,"ln(x+1)+ln(ln(x-4)-1/4*I*(4*Pi*ln(2)*x-4*Pi*x*exp(2*x)+16*I*x*exp(2*x)-16*I*ln(2)*x+8*I*ln(2)*x*exp(2*x)-4*Pi*x*csgn(I/(x-4))^3*exp(2*x)+4*Pi*ln(2)*x*csgn(I/(x-4))^3+8*I*exp(2*x)*ln(2)-8*I*ln(2)^2+I*x-8*I*ln(2)^2*x+16*I*exp(2*x)+4*ln(2)*Pi*csgn(I/(x-4))^3-4*Pi*csgn(I/(x-4))^3*exp(2*x)+4*Pi*csgn(I/(x-4))^2*exp(2*x)-4*ln(2)*Pi*csgn(I/(x-4))^2+4*ln(2)*Pi-4*Pi*exp(2*x)-4*Pi*ln(2)*x*csgn(I/(x-4))^2+4*Pi*x*csgn(I/(x-4))^2*exp(2*x)-16*I*ln(2))/(-x*exp(2*x)+x*ln(2)-exp(2*x)+ln(2)))-ln(ln(x-4)-1/2*I*(-2*Pi*csgn(I/(x-4))^2+2*Pi*csgn(I/(x-4))^3-4*I*ln(2)+2*Pi-8*I))","C"
4912,1,212,23,0.241000," ","int(((-x^2-10*x+4)*exp(3)*ln(x)*ln(x*ln(x))^2+5*exp(3)*ln(x)*ln(x*ln(x))+(-x-5)*exp(3)*ln(x)+(-x-5)*exp(3))/((x^4+8*x^2+16)*ln(x)*ln(x*ln(x))^2+(-2*x^3-8*x)*ln(x)*ln(x*ln(x))+x^2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{3} \left(5+x \right)}{x^{2}+4}+\frac{2 i {\mathrm e}^{3} \left(5+x \right) x}{\left(x^{2}+4\right) \left(\pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)-\pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}-\pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}+\pi  \,x^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}+4 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)-4 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}-4 \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}+4 \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}+2 i x^{2} \ln \left(x \right)+2 i x^{2} \ln \left(\ln \left(x \right)\right)-2 i x +8 i \ln \left(x \right)+8 i \ln \left(\ln \left(x \right)\right)\right)}$&$212$\\ \hline \end{longtable}"," ",0,"exp(3)*(5+x)/(x^2+4)+2*I*exp(3)*(5+x)*x/(x^2+4)/(Pi*x^2*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))-Pi*x^2*csgn(I*x)*csgn(I*x*ln(x))^2-Pi*x^2*csgn(I*ln(x))*csgn(I*x*ln(x))^2+Pi*x^2*csgn(I*x*ln(x))^3+4*Pi*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))-4*Pi*csgn(I*x)*csgn(I*x*ln(x))^2-4*Pi*csgn(I*ln(x))*csgn(I*x*ln(x))^2+4*Pi*csgn(I*x*ln(x))^3+2*I*x^2*ln(x)+2*I*x^2*ln(ln(x))-2*I*x+8*I*ln(x)+8*I*ln(ln(x)))","C"
4913,1,19,23,0.136000," ","int(((4*exp(3)-8*x^2)*ln(exp(3)-2*x^2)^2+(2*exp(3)-4*x^2)*ln(exp(3)-2*x^2)+8*x^2)/(exp(3)-2*x^2)/ln(exp(3)-2*x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x +\frac{2 x}{\ln \left({\mathrm e}^{3}-2 x^{2}\right)}$&$19$\\ norman&$\frac{2 x +4 x \ln \left({\mathrm e}^{3}-2 x^{2}\right)}{\ln \left({\mathrm e}^{3}-2 x^{2}\right)}$&$29$\\ \hline \end{longtable}"," ",0,"4*x+2*x/ln(exp(3)-2*x^2)","A"
4914,1,103,22,0.228000," ","int(1/49*(((49*x*exp(5)+98*x^2)*exp(x*exp(5)+x^2)-7*x+98)*ln(x^2)+(49*x*exp(5)+98*x^2)*exp(x*exp(5)+x^2)^2+((-7*x^2+1225*x)*exp(5)-14*x^3+2450*x^2-7*x+98)*exp(x*exp(5)+x^2)+x^2-189*x+2450)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{2 x \,{\mathrm e}^{5}+2 x^{2}}}{2}+{\mathrm e}^{x \,{\mathrm e}^{5}+x^{2}} \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right)+25 \,{\mathrm e}^{x \,{\mathrm e}^{5}+x^{2}}-\frac{{\mathrm e}^{x \,{\mathrm e}^{5}+x^{2}} x}{7}+2 \ln \left(x \right) {\mathrm e}^{x \,{\mathrm e}^{5}+x^{2}}+\frac{x^{2}}{98}-\frac{25 x}{7}+50 \ln \left(x \right)+2 \ln \left(x \right) \ln \left(x^{2}\right)-2 \ln \left(x \right)^{2}-\frac{x \ln \left(x^{2}\right)}{7}$&$103$\\ risch&$2 \ln \left(x \right)^{2}+\frac{\left(-14 x +98 \,{\mathrm e}^{\left({\mathrm e}^{5}+x \right) x}\right) \ln \left(x \right)}{49}-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{7}-i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\frac{x^{2}}{98}-\frac{25 x}{7}-\frac{i {\mathrm e}^{\left({\mathrm e}^{5}+x \right) x} \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{14}+50 \ln \left(x \right)+\frac{{\mathrm e}^{2 \left({\mathrm e}^{5}+x \right) x}}{2}+i {\mathrm e}^{\left({\mathrm e}^{5}+x \right) x} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\frac{i {\mathrm e}^{\left({\mathrm e}^{5}+x \right) x} \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}+\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{14}-\frac{{\mathrm e}^{\left({\mathrm e}^{5}+x \right) x} x}{7}+25 \,{\mathrm e}^{\left({\mathrm e}^{5}+x \right) x}$&$243$\\ \hline \end{longtable}"," ",0,"1/2*exp(x*exp(5)+x^2)^2+exp(x*exp(5)+x^2)*(ln(x^2)-2*ln(x))+25*exp(x*exp(5)+x^2)-1/7*exp(x*exp(5)+x^2)*x+2*ln(x)*exp(x*exp(5)+x^2)+1/98*x^2-25/7*x+50*ln(x)+2*ln(x)*ln(x^2)-2*ln(x)^2-1/7*x*ln(x^2)","B"
4915,1,19,22,0.250000," ","int(((-12*ln(3)+12*x^2+12*x)*ln(x)+12*x*ln(3)-12*x^2)/x^2/exp(1/x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{12 \left(\ln \left(3\right)-x \right) {\mathrm e}^{-\frac{1}{x}}}{\ln \left(x \right)}$&$19$\\ derivativedivides&$\frac{\left(12-\frac{12 \ln \left(3\right)}{x}\right) x \,{\mathrm e}^{-\frac{1}{x}}}{\ln \left(x \right)}$&$22$\\ norman&$\frac{\left(12 x^{2}-12 x \ln \left(3\right)\right) {\mathrm e}^{-\frac{1}{x}}}{x \ln \left(x \right)}$&$26$\\ \hline \end{longtable}"," ",0,"-12*(ln(3)-x)*exp(-1/x)/ln(x)","A"
4916,1,18,27,0.321000," ","int((((-6*x*ln(2)-1)*ln(2/9*x*ln(2)+1/27)-6*x*ln(2))*exp(-x*ln(2/9*x*ln(2)+1/27)+3)*exp(exp(-x*ln(2/9*x*ln(2)+1/27)+3))+6*x*ln(2)+1)/(6*x*ln(2)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +{\mathrm e}^{{\mathrm e}^{-x \ln \left(\frac{2 x \ln \left(2\right)}{9}+\frac{1}{27}\right)+3}}$&$18$\\ norman&$x +{\mathrm e}^{{\mathrm e}^{-x \ln \left(\frac{2 x \ln \left(2\right)}{9}+\frac{1}{27}\right)+3}}$&$18$\\ risch&$x +{\mathrm e}^{\left(\frac{2 x \ln \left(2\right)}{9}+\frac{1}{27}\right)^{-x} {\mathrm e}^{3}}$&$18$\\ \hline \end{longtable}"," ",0,"x+exp(exp(-x*ln(2/9*x*ln(2)+1/27)+3))","A"
4917,1,22,22,0.067000," ","int((((-2*x-5)*exp(2)-32*x-80)*ln(3)+x^4+10*x^3+25*x^2)/(x^4+10*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{{\mathrm e}^{2} \ln \left(3\right)+16 \ln \left(3\right)}{\left(5+x \right) x}$&$22$\\ gosper&$\frac{x^{3}+{\mathrm e}^{2} \ln \left(3\right)+16 \ln \left(3\right)-25 x}{x \left(5+x \right)}$&$26$\\ norman&$\frac{x^{3}+{\mathrm e}^{2} \ln \left(3\right)+16 \ln \left(3\right)-25 x}{x \left(5+x \right)}$&$26$\\ default&$x -\frac{\ln \left(3\right) \left(16+{\mathrm e}^{2}\right)}{5 \left(5+x \right)}+\frac{\ln \left(3\right) \left(16+{\mathrm e}^{2}\right)}{5 x}$&$27$\\ \hline \end{longtable}"," ",0,"x+(exp(2)*ln(3)+16*ln(3))/(5+x)/x","A"
4918,1,188,25,0.132000," ","int(((-40*exp(x)*x^3+20*x^5+200*x^4+500*x^3)*ln(-2*exp(x)*x+x^3+10*x^2+25*x)+(-10*x^4-10*x^3-6*x^2)*exp(x)+15*x^5+103*x^4+155*x^3+75*x^2)/(10*exp(x)-5*x^2-50*x-125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{4} \ln \left(x^{2}-2 \,{\mathrm e}^{x}+10 x +25\right)-x^{4} \ln \left(x \right)+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(-x^{2}+2 \,{\mathrm e}^{x}-10 x -25\right)\right) \mathrm{csgn}\left(i x \left(-x^{2}+2 \,{\mathrm e}^{x}-10 x -25\right)\right)}{2}-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(-x^{2}+2 \,{\mathrm e}^{x}-10 x -25\right)\right)^{2}}{2}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i \left(-x^{2}+2 \,{\mathrm e}^{x}-10 x -25\right)\right) \mathrm{csgn}\left(i x \left(-x^{2}+2 \,{\mathrm e}^{x}-10 x -25\right)\right)^{2}}{2}-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i x \left(-x^{2}+2 \,{\mathrm e}^{x}-10 x -25\right)\right)^{3}}{2}-\frac{x^{3}}{5}$&$188$\\ \hline \end{longtable}"," ",0,"-x^4*ln(x^2-2*exp(x)+10*x+25)-x^4*ln(x)+1/2*I*Pi*x^4*csgn(I*x)*csgn(I*(-x^2+2*exp(x)-10*x-25))*csgn(I*x*(-x^2+2*exp(x)-10*x-25))-1/2*I*Pi*x^4*csgn(I*x)*csgn(I*x*(-x^2+2*exp(x)-10*x-25))^2+1/2*I*Pi*x^4*csgn(I*(-x^2+2*exp(x)-10*x-25))*csgn(I*x*(-x^2+2*exp(x)-10*x-25))^2-1/2*I*Pi*x^4*csgn(I*x*(-x^2+2*exp(x)-10*x-25))^3-1/5*x^3","C"
4919,1,26,27,0.046000," ","int(((-18*x^4+18*x^2-6)*exp(5)-4*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-6 x^{3} {\mathrm e}^{5}-2 x^{2}+18 x \,{\mathrm e}^{5}+\frac{6 \,{\mathrm e}^{5}}{x}$&$26$\\ risch&$-6 x^{3} {\mathrm e}^{5}-2 x^{2}+18 x \,{\mathrm e}^{5}+\frac{6 \,{\mathrm e}^{5}}{x}$&$26$\\ gosper&$-\frac{2 \left(3 x^{4} {\mathrm e}^{5}+x^{3}-9 x^{2} {\mathrm e}^{5}-3 \,{\mathrm e}^{5}\right)}{x}$&$28$\\ norman&$\frac{-2 x^{3}+18 x^{2} {\mathrm e}^{5}-6 x^{4} {\mathrm e}^{5}+6 \,{\mathrm e}^{5}}{x}$&$29$\\ \hline \end{longtable}"," ",0,"-6*x^3*exp(5)-2*x^2+18*x*exp(5)+6*exp(5)/x","A"
4920,1,25,25,0.280000," ","int((((2*x^3-x^2-4*x+3)*exp(2)*exp(exp(1)+x^2+3*x)+(x^2-2*x+1)*exp(2))*exp(exp(exp(1)+x^2+3*x)+x)+exp(2))/(x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{2}}{x -1}+{\mathrm e}^{2+{\mathrm e}^{{\mathrm e}+x^{2}+3 x}+x}$&$25$\\ norman&$\frac{{\mathrm e}^{2} x \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}+x^{2}+3 x}+x}-{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{{\mathrm e}+x^{2}+3 x}+x}-{\mathrm e}^{2}}{x -1}$&$46$\\ \hline \end{longtable}"," ",0,"-exp(2)/(x-1)+exp(2+exp(exp(1)+x^2+3*x)+x)","A"
4921,1,35,20,0.082000," ","int(((-7*x^4-47*x^3-84*x^2-48*x)*ln(x)-14*x^4+58*x^3+116*x^2+48*x)/(3*x^6-45*x^5+189*x^4-15*x^3-756*x^2-720*x-192)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} \left(7 x +6\right)}{3 \left(x^{4}-10 x^{3}+17 x^{2}+40 x +16\right) \ln \left(x \right)^{2}}$&$35$\\ \hline \end{longtable}"," ",0,"1/3*x^2*(7*x+6)/(x^4-10*x^3+17*x^2+40*x+16)/ln(x)^2","A"
4922,1,25,26,0.112000," ","int((((125*x+5)*exp(1/5*x)-125*x^2-5*x)*ln((-exp(1/5*x)+x)/x)+(5-x)*exp(1/5*x))/(25*x*exp(1/5*x)-25*x^2)/ln((-exp(1/5*x)+x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$5 x +\frac{\ln \left(x \right)}{5}-\frac{\ln \left(\ln \left(\frac{-{\mathrm e}^{\frac{x}{5}}+x}{x}\right)\right)}{5}$&$25$\\ risch&$5 x +\frac{\ln \left(x \right)}{5}-\frac{\ln \left(\ln \left(-{\mathrm e}^{\frac{x}{5}}+x \right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{\frac{x}{5}}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{\frac{x}{5}}+x \right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{\frac{x}{5}}+x \right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{\frac{x}{5}}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{\frac{x}{5}}+x \right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{\frac{x}{5}}+x \right)}{x}\right)^{3}-2 i \ln \left(x \right)\right)}{2}\right)}{5}$&$145$\\ \hline \end{longtable}"," ",0,"5*x+1/5*ln(x)-1/5*ln(ln((-exp(1/5*x)+x)/x))","A"
4923,1,15,19,0.035000," ","int(1/4*(-3*exp(-3*x+23)+1)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x +{\mathrm e}^{-3 x +23}}{4 \ln \left(2\right)}$&$15$\\ norman&$\frac{x}{4 \ln \left(2\right)}+\frac{{\mathrm e}^{-3 x +23}}{4 \ln \left(2\right)}$&$21$\\ risch&$\frac{x}{4 \ln \left(2\right)}+\frac{{\mathrm e}^{-3 x +23}}{4 \ln \left(2\right)}$&$21$\\ derivativedivides&$-\frac{-3 \,{\mathrm e}^{-3 x +23}+\ln \left({\mathrm e}^{-3 x +23}\right)}{12 \ln \left(2\right)}$&$23$\\ \hline \end{longtable}"," ",0,"1/4/ln(2)*(x+exp(-3*x+23))","A"
4924,1,8,9,0.027000," ","int(-3/4*exp(9)^2/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{18}}{4 x^{3}}$&$8$\\ gosper&$\frac{{\mathrm e}^{18}}{4 x^{3}}$&$10$\\ default&$\frac{{\mathrm e}^{18}}{4 x^{3}}$&$10$\\ norman&$\frac{{\mathrm e}^{18}}{4 x^{3}}$&$10$\\ \hline \end{longtable}"," ",0,"1/4/x^3*exp(18)","A"
4925,1,4,15,0.014000," ","int(-1/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{1}{x}$&$4$\\ default&$\frac{1}{x}$&$4$\\ norman&$\frac{1}{x}$&$4$\\ risch&$\frac{1}{x}$&$4$\\ \hline \end{longtable}"," ",0,"1/x","A"
4926,1,31,30,0.073000," ","int((((320*x*ln(5)+320*x^2)*ln(x)^2+((-160*x^2-40*x)*ln(5)-160*x^3-40*x^2)*ln(x)+(20*x^3-15*x^2+70*x)*ln(5)+20*x^4-15*x^3+70*x^2)*ln(ln(5)+x)-160*x^2*ln(x)^2+(80*x^3+20*x^2)*ln(x)-10*x^4-5*x^3+15*x^2)/((16*ln(5)+16*x)*ln(x)^2+((-8*x+8)*ln(5)-8*x^2+8*x)*ln(x)+(x^2-2*x+1)*ln(5)+x^3-2*x^2+x)/ln(ln(5)+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \left(2 x -8 \ln \left(x \right)+3\right) x^{2}}{\left(x -4 \ln \left(x \right)-1\right) \ln \left(\ln \left(5\right)+x \right)}$&$31$\\ \hline \end{longtable}"," ",0,"5*(2*x-8*ln(x)+3)*x^2/(x-4*ln(x)-1)/ln(ln(5)+x)","A"
4927,1,42,31,0.130000," ","int(1/2*(-ln(4/x)+2*x^2*ln(5)*exp(x)+((4*x^3+8*x^2)*exp(1)^2-2*x^2)*ln(5)-1)/x^2/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3} {\mathrm e}^{2}+\left(4 \,{\mathrm e}^{2}-1\right) x^{2}+{\mathrm e}^{x} x +\frac{\ln \left(\frac{4}{x}\right)}{2 \ln \left(5\right)}}{x}$&$42$\\ default&$\frac{2 \ln \left(5\right) {\mathrm e}^{2} x^{2}+8 x \,{\mathrm e}^{2} \ln \left(5\right)-2 x \ln \left(5\right)+\frac{\ln \left(\frac{4}{x}\right)}{x}+2 \,{\mathrm e}^{x} \ln \left(5\right)}{2 \ln \left(5\right)}$&$45$\\ risch&$-\frac{\ln \left(x \right)}{2 \ln \left(5\right) x}+\frac{4 \ln \left(5\right) {\mathrm e}^{2} x^{3}+16 \ln \left(5\right) {\mathrm e}^{2} x^{2}-4 x^{2} \ln \left(5\right)+4 x \,{\mathrm e}^{x} \ln \left(5\right)+4 \ln \left(2\right)}{4 \ln \left(5\right) x}$&$59$\\ \hline \end{longtable}"," ",0,"(x^3*exp(1)^2+(4*exp(1)^2-1)*x^2+exp(x)*x+1/2/ln(5)*ln(4/x))/x","A"
4928,1,108,45,0.067000," ","int(((4*x^6-12*x^5-36*x^4+92*x^3+144*x^2-192*x-256)*ln(x)^2+(16*x^7-32*x^6-192*x^5+232*x^4+1000*x^3-288*x^2-2048*x-1024)*ln(x)+12*x^8-12*x^7-180*x^6+52*x^5+1044*x^4+420*x^3-2224*x^2-2304*x-512)/(x^6-3*x^5-9*x^4+23*x^3+36*x^2-48*x-64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \ln \left(x \right)^{2}+\frac{8 \left(x^{4}-5 x^{2}-5 x -4\right) \ln \left(x \right)}{x^{2}-x -4}-\frac{4 \left(-x^{7}+2 x^{4} \ln \left(x \right)+13 x^{5}-4 x^{3} \ln \left(x \right)+2 x^{4}-14 x^{2} \ln \left(x \right)-35 x^{3}+16 x \ln \left(x \right)-12 x^{2}+32 \ln \left(x \right)-32 x -64\right)}{\left(x^{2}-x -4\right)^{2}}$&$108$\\ default&$4 x \ln \left(x \right)^{2}+8 x \ln \left(x \right)-8 x +4 x^{3}+8 x^{2}-\frac{4 \left(11 x^{3}+4 x^{2}-64 x -64\right)}{\left(x^{2}-x -4\right)^{2}}+8 x^{2} \ln \left(x \right)-\frac{8 \ln \left(x \right) \left(\sqrt{17}\, \ln \left(\frac{1+\sqrt{17}-2 x}{1+\sqrt{17}}\right) x^{2}-\sqrt{17}\, \ln \left(\frac{-1+\sqrt{17}+2 x}{-1+\sqrt{17}}\right) x^{2}-\sqrt{17}\, \ln \left(\frac{1+\sqrt{17}-2 x}{1+\sqrt{17}}\right) x +\sqrt{17}\, \ln \left(\frac{-1+\sqrt{17}+2 x}{-1+\sqrt{17}}\right) x -4 \sqrt{17}\, \ln \left(\frac{1+\sqrt{17}-2 x}{1+\sqrt{17}}\right)+4 \sqrt{17}\, \ln \left(\frac{-1+\sqrt{17}+2 x}{-1+\sqrt{17}}\right)+17 x^{2}\right)}{17 \left(x^{2}-x -4\right)}+\frac{8 \sqrt{17}\, \ln \left(x \right) \ln \left(\frac{1+\sqrt{17}-2 x}{1+\sqrt{17}}\right)}{17}-\frac{8 \sqrt{17}\, \ln \left(x \right) \ln \left(\frac{-1+\sqrt{17}+2 x}{-1+\sqrt{17}}\right)}{17}$&$267$\\ \hline \end{longtable}"," ",0,"4*x*ln(x)^2+8*(x^4-5*x^2-5*x-4)/(x^2-x-4)*ln(x)-4*(-x^7+2*x^4*ln(x)+13*x^5-4*x^3*ln(x)+2*x^4-14*x^2*ln(x)-35*x^3+16*x*ln(x)-12*x^2+32*ln(x)-32*x-64)/(x^2-x-4)^2","B"
4929,1,18,17,0.055000," ","int(1/4*((-7*x-7)*exp(x)+4*x+17)*exp(-7/4*exp(x)*x+1/2*x^2+17/4*x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{-\frac{x \left(7 \,{\mathrm e}^{x}-2 x -17\right)}{4}}$&$18$\\ default&$-x +{\mathrm e}^{-\frac{7 \,{\mathrm e}^{x} x}{4}+\frac{x^{2}}{2}+\frac{17 x}{4}}$&$20$\\ norman&$-x +{\mathrm e}^{-\frac{7 \,{\mathrm e}^{x} x}{4}+\frac{x^{2}}{2}+\frac{17 x}{4}}$&$20$\\ \hline \end{longtable}"," ",0,"-x+exp(-1/4*x*(7*exp(x)-2*x-17))","A"
4930,1,7,13,0.009000," ","int(-2*x+5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\left(x -5\right) x$&$7$\\ default&$-x^{2}+5 x$&$10$\\ norman&$-x^{2}+5 x$&$10$\\ risch&$-x^{2}+5 x$&$10$\\ \hline \end{longtable}"," ",0,"-(x-5)*x","A"
4931,1,15,23,0.029000," ","int(1/5*(8*x-8)*exp(x^2-2*x+1)-2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+\frac{4 \,{\mathrm e}^{\left(x -1\right)^{2}}}{5}$&$15$\\ default&$-x^{2}+\frac{4 \,{\mathrm e}^{x^{2}-2 x +1}}{5}$&$18$\\ norman&$-x^{2}+\frac{4 \,{\mathrm e}^{x^{2}-2 x +1}}{5}$&$18$\\ \hline \end{longtable}"," ",0,"-x^2+4/5*exp((x-1)^2)","A"
4932,1,18,18,0.030000," ","int((32*x^2-48*x+3)/(16*x^3-19*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(16 x -3\right)-\ln \left(x -1\right)+\ln \left(x \right)$&$18$\\ norman&$2 \ln \left(16 x -3\right)-\ln \left(x -1\right)+\ln \left(x \right)$&$18$\\ risch&$2 \ln \left(16 x -3\right)-\ln \left(x -1\right)+\ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"2*ln(16*x-3)-ln(x-1)+ln(x)","A"
4933,1,17,19,0.176000," ","int((60*exp(1)-8*x^3-47*x^2-66*x+9)/(x^2+6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x^{2}+x -\frac{60 \,{\mathrm e}}{3+x}$&$17$\\ risch&$-4 x^{2}+x -\frac{60 \,{\mathrm e}}{3+x}$&$17$\\ norman&$\frac{-4 x^{3}-11 x^{2}-9-60 \,{\mathrm e}}{3+x}$&$23$\\ gosper&$-\frac{4 x^{3}+11 x^{2}+60 \,{\mathrm e}+9}{3+x}$&$24$\\ meijerg&$\frac{23 x}{1+\frac{x}{3}}+\frac{20 \,{\mathrm e} x}{3 \left(1+\frac{x}{3}\right)}+\frac{6 x \left(-\frac{2}{9} x^{2}+2 x +12\right)}{1+\frac{x}{3}}-\frac{47 x \left(x +6\right)}{3 \left(1+\frac{x}{3}\right)}$&$57$\\ \hline \end{longtable}"," ",0,"-4*x^2+x-60/(3+x)*exp(1)","A"
4934,1,24,20,0.053000," ","int((((16*x-8)*exp(x)^4-16)*exp(exp(2))+(-48*x+24)*exp(x)^4+48)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(4 \,{\mathrm e}^{{\mathrm e}^{2}}-12\right) {\mathrm e}^{4 x}+8 \,{\mathrm e}^{{\mathrm e}^{2}}-24}{x^{2}}$&$24$\\ risch&$\frac{8 \,{\mathrm e}^{{\mathrm e}^{2}}}{x^{2}}-\frac{24}{x^{2}}+\frac{4 \left({\mathrm e}^{{\mathrm e}^{2}}-3\right) {\mathrm e}^{4 x}}{x^{2}}$&$29$\\ default&$-\frac{24}{x^{2}}-\frac{12 \,{\mathrm e}^{4 x}}{x^{2}}+\frac{8 \,{\mathrm e}^{{\mathrm e}^{2}}}{x^{2}}-8 \,{\mathrm e}^{{\mathrm e}^{2}} \left(-\frac{{\mathrm e}^{4 x}}{2 x^{2}}-\frac{2 \,{\mathrm e}^{4 x}}{x}-8 \expIntegralEi \left(1, -4 x \right)\right)+16 \,{\mathrm e}^{{\mathrm e}^{2}} \left(-\frac{{\mathrm e}^{4 x}}{x}-4 \expIntegralEi \left(1, -4 x \right)\right)$&$77$\\ \hline \end{longtable}"," ",0,"((4*exp(exp(2))-12)*exp(x)^4+8*exp(exp(2))-24)/x^2","A"
4935,1,22,26,0.055000," ","int(((-2*x^9+6*x^5+24*x^4)*exp(x)*ln(x)+(-2*x^8+6*x^4)*exp(x)-2*x^8+12*x^4-18)/(x^9-6*x^5+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x^{4} {\mathrm e}^{x} \ln \left(x \right)}{x^{4}-3}-2 \ln \left(x \right)$&$22$\\ \hline \end{longtable}"," ",0,"-2*x^4/(x^4-3)*exp(x)*ln(x)-2*ln(x)","A"
4936,1,73,31,0.218000," ","int(((x^5-5*x^4-x^3+29*x^2-8*x-48)*ln(-10/(x-3))+(-x^5+7*x^4-5*x^3-21*x^2-16*x+48)*exp(-2*x/(x^2-x-4))+x^5-2*x^4-7*x^3+8*x^2+16*x)/((x^5-5*x^4-x^3+29*x^2-8*x-48)*ln(-10/(x-3))^2+(-2*x^5+10*x^4+2*x^3-58*x^2+16*x+96)*exp(-2*x/(x^2-x-4))*ln(-10/(x-3))+(x^5-5*x^4-x^3+29*x^2-8*x-48)*exp(-2*x/(x^2-x-4))^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 i x}{-2 \pi  \mathrm{csgn}\left(\frac{i}{x -3}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i}{x -3}\right)^{3}+2 \pi -2 i \ln \left(2\right)-2 i \ln \left(5\right)+2 i {\mathrm e}^{-\frac{2 x}{x^{2}-x -4}}+2 i \ln \left(x -3\right)}$&$73$\\ \hline \end{longtable}"," ",0,"-2*I*x/(-2*Pi*csgn(I/(x-3))^2+2*Pi*csgn(I/(x-3))^3+2*Pi-2*I*ln(2)-2*I*ln(5)+2*I*exp(-2*x/(x^2-x-4))+2*I*ln(x-3))","C"
4937,1,23,36,0.050000," ","int(((-50*x^2-100*x)*ln(x)^3+(-150*x^3-300*x^2)*ln(x)^2+(-150*x^4-300*x^3-4*x-4)*ln(x)-50*x^5-100*x^4-4*x^2-12*x-8)/(25*x*ln(x)^3+75*x^2*ln(x)^2+75*x^3*ln(x)+25*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-4 x +\frac{\frac{4}{25}+\frac{4 x}{25}+\frac{4 \ln \left(x \right)}{25}}{\left(x +\ln \left(x \right)\right)^{2}}$&$23$\\ norman&$\frac{\frac{4}{25}+2 \ln \left(x \right)^{3}-6 x^{2} \ln \left(x \right)+\frac{4 x}{25}-4 x^{3}-x^{4}-x^{2} \ln \left(x \right)^{2}-2 x^{3} \ln \left(x \right)+\frac{4 \ln \left(x \right)}{25}}{\left(x +\ln \left(x \right)\right)^{2}}-2 \ln \left(x \right)$&$61$\\ \hline \end{longtable}"," ",0,"-x^2-4*x+4/25*(1+x+ln(x))/(x+ln(x))^2","A"
4938,1,30,20,0.101000," ","int(1/5*(-18*x*exp(-1/5*ln(5)+2/5*x-4/5)*ln(x^4)+(72*x-180)*exp(-1/5*ln(5)+2/5*x-4/5))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-9 \,{\mathrm e}^{-\frac{\ln \left(5\right)}{5}+\frac{2 x}{5}-\frac{4}{5}} \ln \left(x^{4}\right)+36 \,{\mathrm e}^{-\frac{\ln \left(5\right)}{5}+\frac{2 x}{5}-\frac{4}{5}}$&$30$\\ default&$-9 \left(\ln \left(x^{4}\right)-4 \ln \left(x \right)\right) {\mathrm e}^{-\frac{\ln \left(5\right)}{5}+\frac{2 x}{5}-\frac{4}{5}}+36 \,{\mathrm e}^{-\frac{\ln \left(5\right)}{5}+\frac{2 x}{5}-\frac{4}{5}}-36 \ln \left(x \right) {\mathrm e}^{-\frac{\ln \left(5\right)}{5}+\frac{2 x}{5}-\frac{4}{5}}$&$49$\\ risch&$-\frac{36 \ln \left(x \right) 5^{\frac{4}{5}} {\mathrm e}^{-\frac{4}{5}+\frac{2 x}{5}}}{5}+\frac{9 i 5^{\frac{4}{5}} {\mathrm e}^{-\frac{4}{5}+\frac{2 x}{5}} \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{3}\right)^{3}-\pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{4}\right)^{3}-8 i\right)}{10}$&$210$\\ \hline \end{longtable}"," ",0,"-9*exp(-1/5*ln(5)+2/5*x-4/5)*ln(x^4)+36*exp(-1/5*ln(5)+2/5*x-4/5)","A"
4939,1,20,20,0.056000," ","int(((x^2*ln(3)+5*x^2)*ln(x)^2+(12*x^2*ln(3)+60*x^2-5)*ln(x)+36*x^2*ln(3)+180*x^2-35)/(x^2*ln(x)^2+12*x^2*ln(x)+36*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(3\right)+5 x +\frac{5}{\left(\ln \left(x \right)+6\right) x}$&$20$\\ default&$\frac{5+30 x^{2}+5 x^{2} \ln \left(x \right)}{x \left(\ln \left(x \right)+6\right)}+x \ln \left(3\right)$&$30$\\ norman&$\frac{5+\left(30+6 \ln \left(3\right)\right) x^{2}+\left(5+\ln \left(3\right)\right) x^{2} \ln \left(x \right)}{x \left(\ln \left(x \right)+6\right)}$&$33$\\ \hline \end{longtable}"," ",0,"x*ln(3)+5*x+5/(ln(x)+6)/x","A"
4940,1,23,19,0.044000," ","int(1/6*(2*x^3+3*x^2)*exp(x)*exp(3+x)+6*x^2+4*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 x^{2}+2 x^{3}+\frac{x^{3} {\mathrm e}^{3} {\mathrm e}^{2 x}}{6}$&$23$\\ risch&$2 x^{2}+2 x^{3}+\frac{x^{3} {\mathrm e}^{2 x +3}}{6}$&$23$\\ default&$2 x^{3}+2 x^{2}+\frac{{\mathrm e}^{3} \left(\frac{{\mathrm e}^{2 x} x^{2}}{2}-\frac{x \,{\mathrm e}^{2 x}}{2}+\frac{{\mathrm e}^{2 x}}{4}\right)}{2}+\frac{{\mathrm e}^{3} \left(\frac{{\mathrm e}^{2 x} x^{3}}{2}-\frac{3 \,{\mathrm e}^{2 x} x^{2}}{4}+\frac{3 x \,{\mathrm e}^{2 x}}{4}-\frac{3 \,{\mathrm e}^{2 x}}{8}\right)}{3}$&$75$\\ \hline \end{longtable}"," ",0,"2*x^2+2*x^3+1/6*x^3*exp(3)*exp(x)^2","A"
4941,1,24,17,0.026000," ","int(1/13*(-13*x*exp(x-16)*ln(x)+(-x^3+11*x^2+39*x-13)*exp(x-16))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x -16} \ln \left(x \right)-\frac{\left(x^{2}-13 x -26\right) {\mathrm e}^{x -16}}{13}$&$24$\\ norman&$x \,{\mathrm e}^{x -16}-\frac{x^{2} {\mathrm e}^{x -16}}{13}-{\mathrm e}^{x -16} \ln \left(x \right)+2 \,{\mathrm e}^{x -16}$&$31$\\ \hline \end{longtable}"," ",0,"-exp(x-16)*ln(x)-1/13*(x^2-13*x-26)*exp(x-16)","A"
4942,1,25,25,0.184000," ","int(((2*x^5-11*x^4+7*x^3-15*x^2)*ln(x)*ln(ln(x))-x^3+5*x^2)*exp(-ln(ln(ln(x)))+x^2-x+4)/(9*x^2-90*x+225)/ln(x)/ln(ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3} {\mathrm e}^{x^{2}-x +4}}{9 \left(x -5\right) \ln \left(\ln \left(x \right)\right)}$&$25$\\ \hline \end{longtable}"," ",0,"1/9*x^3/(x-5)/ln(ln(x))*exp(x^2-x+4)","A"
4943,1,44,31,0.113000," ","int((exp(5)*exp(2*x)*ln(x^2)-7*exp(5)*exp(2*x)+(2*x^4-6*x^3+2*x^2)*exp(5))/exp(2*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{{\mathrm e}^{5} \ln \left(x^{2}\right)}{x}+\frac{5 \,{\mathrm e}^{5}}{x}+2 \,{\mathrm e}^{5} \left(-\frac{x^{2} {\mathrm e}^{-2 x}}{2}+x \,{\mathrm e}^{-2 x}\right)$&$44$\\ norman&$\frac{\left(2 x^{2} {\mathrm e}^{5}-x^{3} {\mathrm e}^{5}+5 \,{\mathrm e}^{5} {\mathrm e}^{2 x}-{\mathrm e}^{5} {\mathrm e}^{2 x} \ln \left(x^{2}\right)\right) {\mathrm e}^{-2 x}}{x}$&$46$\\ risch&$-\frac{2 \,{\mathrm e}^{5} \ln \left(x \right)}{x}-\frac{\left(-i {\mathrm e}^{2 x} \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i {\mathrm e}^{2 x} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i {\mathrm e}^{2 x} \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 x^{3}-4 x^{2}-10 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{-2 x +5}}{2 x}$&$100$\\ \hline \end{longtable}"," ",0,"-exp(5)/x*ln(x^2)+5*exp(5)/x+2*exp(5)*(-1/2/exp(2*x)*x^2+x/exp(2*x))","A"
4944,1,19,18,0.050000," ","int((((x^2-x)*ln(1-x)^2+(2*x^2+6*x)*ln(1-x))*ln(x)+(-4*x^2+x+3)*ln(1-x)^2+(2*x^3+6*x^2)*ln(1-x))/((x^2-x)*ln(x)^2+(2*x^3-2*x^2)*ln(x)+x^4-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(1-x \right)^{2} \left(3+x \right)}{x +\ln \left(x \right)}$&$19$\\ \hline \end{longtable}"," ",0,"ln(1-x)^2*(3+x)/(x+ln(x))","A"
4945,1,174,18,0.207000," ","int(((ln(x)^2+2*x*ln(x)+x^2+2)*ln(1/2*x*ln(x)^2+x^2*ln(x)+1/2*x^3+x)-ln(x)^2+(-4*x-2)*ln(x)-3*x^2-2*x-2)/(ln(x)^2+2*x*ln(x)+x^2+2)/ln(1/2*x*ln(x)^2+x^2*ln(x)+1/2*x^3+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i x}{\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\ln \left(x \right)^{2}+2 x \ln \left(x \right)+x^{2}+2\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)^{2}+2 x \ln \left(x \right)+x^{2}+2\right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)^{2}+2 x \ln \left(x \right)+x^{2}+2\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)^{2}+2 x \ln \left(x \right)+x^{2}+2\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)^{2}+2 x \ln \left(x \right)+x^{2}+2\right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \left(\ln \left(x \right)^{2}+2 x \ln \left(x \right)+x^{2}+2\right)\right)^{3}-2 i \ln \left(2\right)+2 i \ln \left(x \right)+2 i \ln \left(\ln \left(x \right)^{2}+2 x \ln \left(x \right)+x^{2}+2\right)}$&$174$\\ \hline \end{longtable}"," ",0,"2*I*x/(Pi*csgn(I*x)*csgn(I*(ln(x)^2+2*x*ln(x)+x^2+2))*csgn(I*x*(ln(x)^2+2*x*ln(x)+x^2+2))-Pi*csgn(I*x)*csgn(I*x*(ln(x)^2+2*x*ln(x)+x^2+2))^2-Pi*csgn(I*(ln(x)^2+2*x*ln(x)+x^2+2))*csgn(I*x*(ln(x)^2+2*x*ln(x)+x^2+2))^2+Pi*csgn(I*x*(ln(x)^2+2*x*ln(x)+x^2+2))^3-2*I*ln(2)+2*I*ln(x)+2*I*ln(ln(x)^2+2*x*ln(x)+x^2+2))","C"
4946,1,93,23,0.056000," ","int(((3*x^3+22*x^2+40*x)*ln(3+x)^3+((4*x^2+14*x)*ln(x)+9*x^4+45*x^3-48*x^2-322*x+24)*ln(3+x)^2+(x*ln(x)^2+(6*x^3-8*x^2-108*x+6)*ln(x)+9*x^5+22*x^4-184*x^3-254*x^2+906*x-144)*ln(3+x)+(-x^2-11*x)*ln(x)^2+(2*x^4-20*x^3-52*x^2+204*x-18)*ln(x)+3*x^6-x^5-92*x^4+72*x^3+630*x^2-900*x+216)/(x*ln(3+x)^3+(3*x^2-9*x)*ln(3+x)^2+(3*x^3-18*x^2+27*x)*ln(3+x)+x^4-9*x^3+27*x^2-27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+11 x^{2}+40 x +\frac{\left(2 x^{3}+2 x^{2} \ln \left(x \right)+2 \ln \left(3+x \right) x^{2}+2 \ln \left(x \right) \ln \left(3+x \right) x +3 x^{2}+4 x \ln \left(x \right)+8 x \ln \left(3+x \right)+\ln \left(x \right)^{2}+8 \ln \left(x \right) \ln \left(3+x \right)-24 x -24 \ln \left(x \right)\right) \left(3+x \right)}{\left(\ln \left(3+x \right)+x -3\right)^{2}}$&$93$\\ \hline \end{longtable}"," ",0,"x^3+11*x^2+40*x+(2*x^3+2*x^2*ln(x)+2*ln(3+x)*x^2+2*ln(x)*ln(3+x)*x+3*x^2+4*x*ln(x)+8*x*ln(3+x)+ln(x)^2+8*ln(x)*ln(3+x)-24*x-24*ln(x))*(3+x)/(ln(3+x)+x-3)^2","B"
4947,1,130,31,0.038000," ","int(x^3*ln(x)^4+1/2*(5*x^4+18*x^3+9*x^2)*ln(x)^3+1/2*(3*x^5+43*x^4+72*x^3+45*x^2+9*x)*ln(x)^2+1/2*(25*x^5+116*x^4+142*x^3+60*x^2+9*x)*ln(x)-exp(x)+26*x^5+50*x^4+30*x^3+6*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{9 x^{2} \ln \left(x \right)^{2}}{4}+4 x^{4}+4 x^{6}+8 x^{5}+6 x^{3} \ln \left(x \right)+\frac{x^{6} \ln \left(x \right)^{2}}{4}+2 x^{6} \ln \left(x \right)+2 x^{4} \ln \left(x \right)^{3}+\frac{x^{5} \ln \left(x \right)^{3}}{2}+\frac{3 x^{3} \ln \left(x \right)^{3}}{2}+10 x^{5} \ln \left(x \right)+\frac{15 x^{4} \ln \left(x \right)^{2}}{2}+14 x^{4} \ln \left(x \right)+\frac{x^{4} \ln \left(x \right)^{4}}{4}+4 x^{5} \ln \left(x \right)^{2}+6 x^{3} \ln \left(x \right)^{2}-{\mathrm e}^{x}$&$130$\\ risch&$\frac{9 x^{2} \ln \left(x \right)^{2}}{4}+4 x^{4}+4 x^{6}+8 x^{5}+6 x^{3} \ln \left(x \right)+\frac{x^{6} \ln \left(x \right)^{2}}{4}+2 x^{6} \ln \left(x \right)+2 x^{4} \ln \left(x \right)^{3}+\frac{x^{5} \ln \left(x \right)^{3}}{2}+\frac{3 x^{3} \ln \left(x \right)^{3}}{2}+10 x^{5} \ln \left(x \right)+\frac{15 x^{4} \ln \left(x \right)^{2}}{2}+14 x^{4} \ln \left(x \right)+\frac{x^{4} \ln \left(x \right)^{4}}{4}+4 x^{5} \ln \left(x \right)^{2}+6 x^{3} \ln \left(x \right)^{2}-{\mathrm e}^{x}$&$130$\\ \hline \end{longtable}"," ",0,"9/4*x^2*ln(x)^2+4*x^4+4*x^6+8*x^5+6*x^3*ln(x)+1/4*x^6*ln(x)^2+2*x^6*ln(x)+2*x^4*ln(x)^3+1/2*x^5*ln(x)^3+3/2*x^3*ln(x)^3+10*x^5*ln(x)+15/2*x^4*ln(x)^2+14*x^4*ln(x)+1/4*x^4*ln(x)^4+4*x^5*ln(x)^2+6*x^3*ln(x)^2-exp(x)","B"
4948,1,54,24,0.250000," ","int((((-2*x^2+6*x+8)*exp(x)-5*x^3+30*x^2-40*x)*ln((-x+4)/x)+(-4*x-8)*exp(x)+20*x)/(x-4)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(5 x^{2} \ln \left(\frac{-x +4}{x}\right)-2 \,{\mathrm e}^{x} x \ln \left(\frac{-x +4}{x}\right)-{\mathrm e}^{x} x^{2} \ln \left(\frac{-x +4}{x}\right)\right) {\mathrm e}^{-x}$&$54$\\ default&$-24 \ln \left(\frac{4}{x}\right)+2 \ln \left(-1+\frac{4}{x}\right) \left(-1+\frac{4}{x}\right) x +\ln \left(-1+\frac{4}{x}\right) \left(-1+\frac{4}{x}\right) \left(\frac{4}{x}+1\right) x^{2}+5 x^{2} \ln \left(\frac{-x +4}{x}\right) {\mathrm e}^{-x}-24 \ln \left(x -4\right)$&$79$\\ risch&$-x \left({\mathrm e}^{x} x -5 x +2 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x} \ln \left(x -4\right)+\frac{x \left(2 x \,{\mathrm e}^{x} \ln \left(x \right)+4 \,{\mathrm e}^{x} \ln \left(x \right)-10 x \ln \left(x \right)-5 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)+2 i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right) {\mathrm e}^{x}-2 i \pi  \,\mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{x}-2 i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{x}-i \pi  x \,\mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{x}+5 i \pi  x \,\mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2}+5 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2}+i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right) {\mathrm e}^{x}+10 i x \pi +2 i \pi  x \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{x}-i \pi  x \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{3} {\mathrm e}^{x}-2 i \pi  x \,{\mathrm e}^{x}-4 i \pi  \,{\mathrm e}^{x}+4 i \pi  \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{x}-2 i \pi  \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{3} {\mathrm e}^{x}+5 i \pi  x \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{3}-10 i \pi  x \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2}-i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -4\right)}{x}\right)^{2} {\mathrm e}^{x}\right) {\mathrm e}^{-x}}{2}$&$417$\\ \hline \end{longtable}"," ",0,"(5*x^2*ln((-x+4)/x)-2*exp(x)*x*ln((-x+4)/x)-exp(x)*x^2*ln((-x+4)/x))/exp(x)","B"
4949,1,19,19,0.023000," ","int((-16*x^4-8*x^2-27*x+4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x^{4}-4 x^{2}-27 x +4 \ln \left(x \right)$&$19$\\ norman&$-4 x^{4}-4 x^{2}-27 x +4 \ln \left(x \right)$&$19$\\ risch&$-4 x^{4}-4 x^{2}-27 x +4 \ln \left(x \right)$&$19$\\ \hline \end{longtable}"," ",0,"-4*x^4-4*x^2-27*x+4*ln(x)","A"
4950,1,50,27,0.089000," ","int(((x*exp(x)^2*ln(x)^2+(10*x*exp(x)^2+2*exp(x))*ln(x)+25*x*exp(x)^2+10*exp(x))*exp(exp(x))-2*x^2*exp(x)*ln(x)^2-22*x^2*exp(x)*ln(x)+(-60*x^2+x)*exp(x)-x^2+x)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} \ln \left(x \right)^{2}-10 x^{2} \ln \left(x \right)-x \left(25 \,{\mathrm e}^{x} x -{\mathrm e}^{x}-1\right) {\mathrm e}^{-x}+\left(25+\ln \left(x \right)^{2}+10 \ln \left(x \right)\right) {\mathrm e}^{{\mathrm e}^{x}}$&$50$\\ \hline \end{longtable}"," ",0,"-x^2*ln(x)^2-10*x^2*ln(x)-x*(25*exp(x)*x-exp(x)-1)*exp(-x)+(25+ln(x)^2+10*ln(x))*exp(exp(x))","A"
4951,1,39,26,0.062000," ","int((((3*x^2-6*x)*exp(x)-6*x*ln(3)^2-6*x)*ln(x)^2+(-6*exp(x)*x-6*x*ln(3)^2-6*x)*ln(x)+(-3*x^2+6*x)*exp(x)+6*x*ln(3)^2+6*x)*exp((-3*x^2*ln(x)^2+16*exp(x)+16*ln(3)^2+3*x^2+16)/(exp(x)+ln(3)^2+1))/(exp(x)^2+(2*ln(3)^2+2)*exp(x)+ln(3)^4+2*ln(3)^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-3 x^{2} \ln \left(x \right)^{2}+16 \,{\mathrm e}^{x}+16 \ln \left(3\right)^{2}+3 x^{2}+16}{{\mathrm e}^{x}+\ln \left(3\right)^{2}+1}}$&$39$\\ \hline \end{longtable}"," ",0,"exp((-3*x^2*ln(x)^2+16*exp(x)+16*ln(3)^2+3*x^2+16)/(exp(x)+ln(3)^2+1))","A"
4952,1,22,21,0.133000," ","int((x^2*ln(x)^2+(-8*x^2*ln(2)^2-26*x^2+5)*ln(x)+16*x^2*ln(2)^4+4*(26*x^2-5)*ln(2)^2+169*x^2-60)/(x^2*ln(x)^2+(-8*x^2*ln(2)^2-26*x^2)*ln(x)+16*x^2*ln(2)^4+104*x^2*ln(2)^2+169*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{5}{\left(13-\ln \left(x \right)+4 \ln \left(2\right)^{2}\right) x}$&$22$\\ norman&$\frac{5+\left(4 \ln \left(2\right)^{2}+13\right) x^{2}-x^{2} \ln \left(x \right)}{x \left(13-\ln \left(x \right)+4 \ln \left(2\right)^{2}\right)}$&$40$\\ \hline \end{longtable}"," ",0,"x+5/(13-ln(x)+4*ln(2)^2)/x","A"
4953,1,15,14,0.034000," ","int(1/5*((x-1)*exp(x)-exp(25)+2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{{\mathrm e}^{x}}{5}+\frac{{\mathrm e}^{25}}{5}-\frac{2}{5}}{x}$&$15$\\ default&$-\frac{2}{5 x}+\frac{{\mathrm e}^{25}}{5 x}+\frac{{\mathrm e}^{x}}{5 x}$&$21$\\ risch&$-\frac{2}{5 x}+\frac{{\mathrm e}^{25}}{5 x}+\frac{{\mathrm e}^{x}}{5 x}$&$21$\\ \hline \end{longtable}"," ",0,"(1/5*exp(x)+1/5*exp(25)-2/5)/x","A"
4954,1,50,33,0.793000," ","int(((-x^6+8*x^3)*exp(x^2)^3+((3*x^5-24*x^2)*ln(5)^2-12*x^6-6*x^5+8*x^4+96*x^3+60*x^2)*exp(x^2)^2+((-3*x^4+24*x)*ln(5)^4+(24*x^5+12*x^4-8*x^3-192*x^2-116*x)*ln(5)^2-48*x^6-48*x^5+20*x^4+404*x^3+480*x^2+140*x)*exp(x^2)+(x^3-8)*ln(5)^6+(-12*x^4-6*x^3+96*x+56)*ln(5)^4+(48*x^5+48*x^4+12*x^3-384*x^2-464*x-130)*ln(5)^2-64*x^6-96*x^5-48*x^4+504*x^3+960*x^2+560*x+100)/(x^6*exp(x^2)^3+(-3*x^5*ln(5)^2+12*x^6+6*x^5)*exp(x^2)^2+(3*x^4*ln(5)^4+(-24*x^5-12*x^4)*ln(5)^2+48*x^6+48*x^5+12*x^4)*exp(x^2)-x^3*ln(5)^6+(12*x^4+6*x^3)*ln(5)^4+(-48*x^5-48*x^4-12*x^3)*ln(5)^2+64*x^6+96*x^5+48*x^4+8*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{4}{x^{2}}+\frac{4 \ln \left(5\right)^{2}-4 \,{\mathrm e}^{x^{2}} x -16 x -9}{x^{2} \left(\ln \left(5\right)^{2}-{\mathrm e}^{x^{2}} x -4 x -2\right)^{2}}$&$50$\\ norman&$\frac{\left(-80+32 \ln \left(5\right)^{2}\right) x -64 x^{2}+\left(8 \ln \left(5\right)^{2}-16\right) x^{4}+\left(-\ln \left(5\right)^{4}+4 \ln \left(5\right)^{2}-4\right) x^{3}+\left(-20+8 \ln \left(5\right)^{2}\right) x \,{\mathrm e}^{x^{2}}+\left(2 \ln \left(5\right)^{2}-4\right) x^{4} {\mathrm e}^{x^{2}}-25-16 x^{5}-32 x^{2} {\mathrm e}^{x^{2}}-4 x^{2} {\mathrm e}^{2 x^{2}}-8 \,{\mathrm e}^{x^{2}} x^{5}-{\mathrm e}^{2 x^{2}} x^{5}-4 \ln \left(5\right)^{4}+20 \ln \left(5\right)^{2}}{x^{2} \left(\ln \left(5\right)^{2}-{\mathrm e}^{x^{2}} x -4 x -2\right)^{2}}$&$157$\\ \hline \end{longtable}"," ",0,"-x-4/x^2+(4*ln(5)^2-4*exp(x^2)*x-16*x-9)/x^2/(ln(5)^2-exp(x^2)*x-4*x-2)^2","A"
4955,1,30,24,0.030000," ","int(((x^3-2*x^2-9*x+7)*exp(x)*ln(x)+(-x^4+x^3+9*x^2+x-7)*exp(x))/(x^6+2*x^5-13*x^4-14*x^3+49*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x} \ln \left(x \right)}{\left(x^{2}+x -7\right) x}-\frac{{\mathrm e}^{x}}{x^{2}+x -7}$&$30$\\ \hline \end{longtable}"," ",0,"1/(x^2+x-7)/x*exp(x)*ln(x)-1/(x^2+x-7)*exp(x)","A"
4956,1,153,23,0.408000," ","int((((x^2*exp(2/x^2)+x^2)*ln(x)+((x^3+x^2)*exp(2/x^2)+x^3+x^2)*exp(x)+x^2*exp(2/x^2)+x^2)*ln(1/5*(exp(2/x^2)+1)/x)^2+(x^2*exp(2/x^2)+x^2)*ln(1/5*(exp(2/x^2)+1)/x)+(x^2+4)*exp(2/x^2)+x^2)/(x^2*exp(2/x^2)+x^2)/ln(1/5*(exp(2/x^2)+1)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x} x +x \ln \left(x \right)+\frac{2 i x}{\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{\frac{2}{x^{2}}}+1\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{\frac{2}{x^{2}}}+1\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{\frac{2}{x^{2}}}+1\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{\frac{2}{x^{2}}}+1\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{\frac{2}{x^{2}}}+1\right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{\frac{2}{x^{2}}}+1\right)}{x}\right)^{3}-2 i \ln \left(5\right)-2 i \ln \left(x \right)+2 i \ln \left({\mathrm e}^{\frac{2}{x^{2}}}+1\right)}$&$153$\\ \hline \end{longtable}"," ",0,"exp(x)*x+x*ln(x)+2*I*x/(Pi*csgn(I/x)*csgn(I*(exp(2/x^2)+1))*csgn(I/x*(exp(2/x^2)+1))-Pi*csgn(I/x)*csgn(I/x*(exp(2/x^2)+1))^2-Pi*csgn(I*(exp(2/x^2)+1))*csgn(I/x*(exp(2/x^2)+1))^2+Pi*csgn(I/x*(exp(2/x^2)+1))^3-2*I*ln(5)-2*I*ln(x)+2*I*ln(exp(2/x^2)+1))","C"
4957,1,32,19,0.201000," ","int((((10*x-12)*exp(x)+8*x^2-8*x-2)*exp(4*x)+(2*x^2-2*x-2)*exp(x)+3*x^2-6*x+1)/(x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 x^{2}+2 \,{\mathrm e}^{5 x}+2 x \,{\mathrm e}^{4 x}+2 \,{\mathrm e}^{x} x -1}{x -1}$&$32$\\ risch&$\frac{2}{x -1}+3 x +\frac{2 \,{\mathrm e}^{5 x}}{x -1}+\frac{2 x \,{\mathrm e}^{4 x}}{x -1}+\frac{2 x \,{\mathrm e}^{x}}{x -1}$&$45$\\ default&$\frac{2}{x -1}+3 x +\frac{2 \,{\mathrm e}^{x}}{x -1}+\frac{2 \,{\mathrm e}^{4 x}}{x -1}+\frac{2 \,{\mathrm e}^{5 x}}{x -1}+2 \,{\mathrm e}^{4 x}+2 \,{\mathrm e}^{x}$&$53$\\ \hline \end{longtable}"," ",0,"(3*x^2+2*exp(x)^5+2*x*exp(x)^4+2*exp(x)*x-1)/(x-1)","A"
4958,1,28,19,0.061000," ","int(1/5*(-40*exp(x)^2*x^2+(-40*x^2+40*x)*exp(x)-32*x^3+32*x^2)/exp(x)/exp(1/5*(5*exp(x)^2+5*exp(x)*x-4*x)/exp(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2} {\mathrm e}^{-\frac{2 \left(5 \,{\mathrm e}^{2 x}+5 \,{\mathrm e}^{x} x -4 x \right) {\mathrm e}^{-x}}{5}}$&$28$\\ \hline \end{longtable}"," ",0,"4*x^2*exp(-2/5*(5*exp(2*x)+5*exp(x)*x-4*x)*exp(-x))","A"
4959,1,257,28,0.199000," ","int((((-8*x+8)*exp(x)+8*x-8)*ln(x)*ln((x-exp(x)*x)*ln(x))+((-10*x^2+14*x-12)*exp(x)+12*x^2-18*x+12)*ln(x)+(2*x-4)*exp(x)+4-2*x)/((x^6-6*x^5+12*x^4-8*x^3)*exp(x)-x^6+6*x^5-12*x^4+8*x^3)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left({\mathrm e}^{x}-1\right)}{\left(x^{2}-4 x +4\right) x^{2}}+\frac{i \pi  \mathrm{csgn}\left(i x \ln \left(x \right) \left({\mathrm e}^{x}-1\right)\right)^{3}-i \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left({\mathrm e}^{x}-1\right)\right)^{3}+i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right) \left({\mathrm e}^{x}-1\right)\right) \mathrm{csgn}\left(i x \ln \left(x \right) \left({\mathrm e}^{x}-1\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left({\mathrm e}^{x}-1\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right) \left({\mathrm e}^{x}-1\right)\right)^{2}-2 i \pi  \mathrm{csgn}\left(i x \ln \left(x \right) \left({\mathrm e}^{x}-1\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left({\mathrm e}^{x}-1\right)\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right) \left({\mathrm e}^{x}-1\right)\right) \mathrm{csgn}\left(i x \ln \left(x \right) \left({\mathrm e}^{x}-1\right)\right)-i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left({\mathrm e}^{x}-1\right)\right)+2 i \pi -2+4 x +2 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)}{\left(x^{2}-4 x +4\right) x^{2}}$&$257$\\ \hline \end{longtable}"," ",0,"2/(x^2-4*x+4)/x^2*ln(exp(x)-1)+(I*Pi*csgn(I*x*ln(x)*(exp(x)-1))^3-I*Pi*csgn(I*ln(x)*(exp(x)-1))^3+I*Pi*csgn(I*ln(x)*(exp(x)-1))*csgn(I*x*ln(x)*(exp(x)-1))^2+I*Pi*csgn(I*(exp(x)-1))*csgn(I*ln(x)*(exp(x)-1))^2+I*Pi*csgn(I*x)*csgn(I*x*ln(x)*(exp(x)-1))^2-2*I*Pi*csgn(I*x*ln(x)*(exp(x)-1))^2+I*Pi*csgn(I*ln(x))*csgn(I*ln(x)*(exp(x)-1))^2-I*Pi*csgn(I*x)*csgn(I*ln(x)*(exp(x)-1))*csgn(I*x*ln(x)*(exp(x)-1))-I*Pi*csgn(I*ln(x))*csgn(I*(exp(x)-1))*csgn(I*ln(x)*(exp(x)-1))+2*I*Pi-2+4*x+2*ln(x)+2*ln(ln(x)))/(x^2-4*x+4)/x^2","C"
4960,1,49,16,0.035000," ","int((-9*exp(2)^4*ln(20)^2+(54*exp(2)^4+6*exp(2)^2)*ln(20)-81*exp(2)^4-18*exp(2)^2-1)/x^2/exp(2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(9 \,{\mathrm e}^{8} \ln \left(20\right)^{2}-54 \,{\mathrm e}^{8} \ln \left(20\right)+81 \,{\mathrm e}^{8}-6 \,{\mathrm e}^{4} \ln \left(20\right)+18 \,{\mathrm e}^{4}+1\right) {\mathrm e}^{-8}}{x}$&$49$\\ norman&$\frac{\left(9 \,{\mathrm e}^{8} \ln \left(20\right)^{2}-54 \,{\mathrm e}^{8} \ln \left(20\right)+81 \,{\mathrm e}^{8}-6 \,{\mathrm e}^{4} \ln \left(20\right)+18 \,{\mathrm e}^{4}+1\right) {\mathrm e}^{-8}}{x}$&$49$\\ default&$-\frac{\left(-9 \,{\mathrm e}^{8} \ln \left(20\right)^{2}+\left(54 \,{\mathrm e}^{8}+6 \,{\mathrm e}^{4}\right) \ln \left(20\right)-81 \,{\mathrm e}^{8}-18 \,{\mathrm e}^{4}-1\right) {\mathrm e}^{-8}}{x}$&$50$\\ risch&$\frac{9 \,{\mathrm e}^{-8} \ln \left(5\right)^{2} {\mathrm e}^{8}}{x}+\frac{36 \,{\mathrm e}^{-8} \ln \left(5\right) \ln \left(2\right) {\mathrm e}^{8}}{x}+\frac{36 \,{\mathrm e}^{-8} \ln \left(2\right)^{2} {\mathrm e}^{8}}{x}-\frac{6 \,{\mathrm e}^{-8} {\mathrm e}^{4} \ln \left(5\right)}{x}-\frac{54 \,{\mathrm e}^{-8} {\mathrm e}^{8} \ln \left(5\right)}{x}-\frac{12 \,{\mathrm e}^{-8} {\mathrm e}^{4} \ln \left(2\right)}{x}-\frac{108 \,{\mathrm e}^{-8} {\mathrm e}^{8} \ln \left(2\right)}{x}+\frac{18 \,{\mathrm e}^{-8} {\mathrm e}^{4}}{x}+\frac{81 \,{\mathrm e}^{-8} {\mathrm e}^{8}}{x}+\frac{{\mathrm e}^{-8}}{x}$&$109$\\ \hline \end{longtable}"," ",0,"(9*exp(2)^4*ln(20)^2-54*exp(2)^4*ln(20)+81*exp(2)^4-6*exp(2)^2*ln(20)+18*exp(2)^2+1)/x/exp(2)^4","B"
4961,1,16,22,0.023000," ","int(-exp(x)+2*x*exp(2)^2+3*x^2+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+x +x^{2} {\mathrm e}^{4}-{\mathrm e}^{x}$&$16$\\ default&$x^{3}+x +x^{2} {\mathrm e}^{4}-{\mathrm e}^{x}$&$18$\\ norman&$x^{3}+x +x^{2} {\mathrm e}^{4}-{\mathrm e}^{x}$&$18$\\ \hline \end{longtable}"," ",0,"x^3+x+x^2*exp(4)-exp(x)","A"
4962,1,18,27,0.037000," ","int(((6*x^2+2)*ln(x)^2+(-15*x^2-5)*ln(x)-5*x^2-5)/((2*x^3+2*x)*ln(x)^2+(-5*x^3-5*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x^{3}+x \right)+\ln \left(\ln \left(x \right)\right)-\ln \left(\ln \left(x \right)-\frac{5}{2}\right)$&$18$\\ norman&$\ln \left(x \right)-\ln \left(2 \ln \left(x \right)-5\right)+\ln \left(\ln \left(x \right)\right)+\ln \left(x^{2}+1\right)$&$22$\\ \hline \end{longtable}"," ",0,"ln(x^3+x)+ln(ln(x))-ln(ln(x)-5/2)","A"
4963,1,20,27,0.122000," ","int(((6-2*x)*exp(ln(-x+6)+2*ln(3))+(-x+6)*ln(2-exp(4))+4*x-24)/(x-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$9 x^{2}-50 x -\ln \left(2-{\mathrm e}^{4}\right) x$&$20$\\ norman&$\left(-50-\ln \left(2-{\mathrm e}^{4}\right)\right) x +9 x^{2}$&$20$\\ risch&$9 x^{2}-50 x -\ln \left(2-{\mathrm e}^{4}\right) x$&$20$\\ \hline \end{longtable}"," ",0,"9*x^2-50*x-ln(2-exp(4))*x","A"
4964,1,29,21,0.164000," ","int(((5*x^4+90*x^3+480*x^2+640*x)*exp(x)+15*x^4+300*x^3+1865*x^2+2960*x)/(x^2+16*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{3520}{x +8}-55 x +30 x^{2}+5 x^{3}+5 \,{\mathrm e}^{x} x^{2}$&$29$\\ risch&$-\frac{3520}{x +8}-55 x +30 x^{2}+5 x^{3}+5 \,{\mathrm e}^{x} x^{2}$&$29$\\ norman&$\frac{185 x^{2}+70 x^{3}+5 x^{4}+40 \,{\mathrm e}^{x} x^{2}+5 \,{\mathrm e}^{x} x^{3}}{x +8}$&$37$\\ \hline \end{longtable}"," ",0,"-3520/(x+8)-55*x+30*x^2+5*x^3+5*exp(x)*x^2","A"
4965,1,19,18,0.039000," ","int(((-2*x+2)*exp(x^2+4*x)-8*x-16)/exp(x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+2 x +4 \,{\mathrm e}^{-\left(4+x \right) x}$&$19$\\ default&$-x^{2}+2 x +4 \,{\mathrm e}^{-x^{2}-4 x}$&$22$\\ norman&$\left(4+2 x \,{\mathrm e}^{x^{2}+4 x}-x^{2} {\mathrm e}^{x^{2}+4 x}\right) {\mathrm e}^{-x^{2}-4 x}$&$38$\\ \hline \end{longtable}"," ",0,"-x^2+2*x+4*exp(-(4+x)*x)","A"
4966,1,26,20,0.021000," ","int(1/5*x^3*ln(x)^2-7/10*x^3*ln(x)+3/5*x^3-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\frac{x^{4}}{5}-\frac{x^{4} \ln \left(x \right)}{5}+\frac{x^{4} \ln \left(x \right)^{2}}{20}$&$26$\\ norman&$-x +\frac{x^{4}}{5}-\frac{x^{4} \ln \left(x \right)}{5}+\frac{x^{4} \ln \left(x \right)^{2}}{20}$&$26$\\ risch&$-x +\frac{x^{4}}{5}-\frac{x^{4} \ln \left(x \right)}{5}+\frac{x^{4} \ln \left(x \right)^{2}}{20}$&$26$\\ \hline \end{longtable}"," ",0,"-x+1/5*x^4-1/5*x^4*ln(x)+1/20*x^4*ln(x)^2","A"
4967,1,23,22,0.049000," ","int((((-x^2-2*x+405)*ln(-1/2*x^2-x+405/2)+2*x^2+2*x)*ln(x)+(x^2+2*x-405)*ln(-1/2*x^2-x+405/2))/(2*x^4+4*x^3-810*x^2)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right) \ln \left(-\frac{1}{2} x^{2}-x +\frac{405}{2}\right)}{2 \ln \left(2\right) x}$&$23$\\ \hline \end{longtable}"," ",0,"1/2/ln(2)*ln(x)*ln(-1/2*x^2-x+405/2)/x","A"
4968,1,19,18,0.025000," ","int((1024*x^2+1024*x-512)*exp(256/ln(ln(x)-x^2-2*x+5)^2)/(x*ln(x)-x^3-2*x^2+5*x)/ln(ln(x)-x^2-2*x+5)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{256}{\ln \left(\ln \left(x \right)-x^{2}-2 x +5\right)^{2}}}$&$19$\\ \hline \end{longtable}"," ",0,"exp(256/ln(ln(x)-x^2-2*x+5)^2)","A"
4969,1,116,27,0.085000," ","int((((2*x^4+2*x^3)*exp(x)-2*x^3)*exp(exp(x))^2+(((2*x^4+2*x^3)*exp(x)-4*x^3)*ln(x)+(-4*x^5-4*x^4+6*x^3+6*x^2)*exp(x)+4*x^4-2*x^3-16*x^2-6*x)*exp(exp(x))-2*x^3*ln(x)^2+(4*x^4-2*x^3-16*x^2-6*x)*ln(x)+4*x^4+20*x^3+6*x^2-30*x-18)/(9*x^6+27*x^5+27*x^4+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{2}}{9 x^{2}+18 x +9}-\frac{2 \left(2 x^{2}-3\right) \ln \left(x \right)}{9 x \left(x^{2}+2 x +1\right)}-\frac{8 x^{3}+16 x^{2}-9}{9 \left(x^{2}+2 x +1\right) x^{2}}+\frac{{\mathrm e}^{2 \,{\mathrm e}^{x}}}{9 x^{2}+18 x +9}-\frac{2 \left(2 x^{2}-x \ln \left(x \right)-3\right) {\mathrm e}^{{\mathrm e}^{x}}}{9 x \left(x^{2}+2 x +1\right)}$&$116$\\ \hline \end{longtable}"," ",0,"1/9/(x^2+2*x+1)*ln(x)^2-2/9*(2*x^2-3)/x/(x^2+2*x+1)*ln(x)-1/9*(8*x^3+16*x^2-9)/(x^2+2*x+1)/x^2+1/9/(x^2+2*x+1)*exp(2*exp(x))-2/9*(2*x^2-x*ln(x)-3)/x/(x^2+2*x+1)*exp(exp(x))","B"
4970,1,17,18,0.039000," ","int(1/80*(18*x^2*ln(1/3*x)+9*x^2+81)/x^5/exp((x^2+5)*ln(1/3*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{9 \left(\frac{x}{3}\right)^{-x^{2}-5}}{80 x^{4}}$&$17$\\ \hline \end{longtable}"," ",0,"-9/80/((1/3*x)^(x^2+5))/x^4","A"
4971,1,17,18,0.148000," ","int(((x^2-2*x-2)*exp(3+x+ln(x))-2*x)/((x^2-2*x)*exp(3+x+ln(x))+x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x -2\right)+\ln \left({\mathrm e}^{3+x +\ln \left(x \right)}+x \right)$&$17$\\ risch&$-\ln \left(x -2\right)-3+\ln \left({\mathrm e}^{3+x} x +x \right)$&$18$\\ \hline \end{longtable}"," ",0,"-ln(x-2)+ln(exp(3+x+ln(x))+x)","A"
4972,1,12,11,0.176000," ","int(-440/(4*exp(8)^2+(220*x-96)*exp(8)+3025*x^2-2640*x+576),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{\frac{55 x}{2}+{\mathrm e}^{8}-12}$&$12$\\ gosper&$\frac{8}{2 \,{\mathrm e}^{8}+55 x -24}$&$14$\\ norman&$\frac{8}{2 \,{\mathrm e}^{8}+55 x -24}$&$14$\\ meijerg&$-\frac{4 x}{\left(\frac{2 \,{\mathrm e}^{8}}{55}-\frac{24}{55}\right) \left({\mathrm e}^{8}-12\right) \left(1+\frac{55 x}{2 \left({\mathrm e}^{8}-12\right)}\right)}$&$31$\\ \hline \end{longtable}"," ",0,"4/(55/2*x+exp(8)-12)","A"
4973,1,24,32,0.023000," ","int(1/3125*(-4*x^4+9225*x^3-1250*x^2+6250*x-3125)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{4}}{3125}+\frac{123 x^{3}}{125}-\frac{x^{2}}{5}+2 x -\ln \left(x \right)$&$24$\\ norman&$-\frac{x^{4}}{3125}+\frac{123 x^{3}}{125}-\frac{x^{2}}{5}+2 x -\ln \left(x \right)$&$24$\\ risch&$-\frac{x^{4}}{3125}+\frac{123 x^{3}}{125}-\frac{x^{2}}{5}+2 x -\ln \left(x \right)$&$24$\\ \hline \end{longtable}"," ",0,"-1/3125*x^4+123/125*x^3-1/5*x^2+2*x-ln(x)","A"
4974,1,19,29,0.087000," ","int(((-x-2)*exp(2*ln(5)+exp(5)-x-5)+14)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-7+{\mathrm e}^{2 \ln \left(5\right)+{\mathrm e}^{5}-x -5}}{x^{2}}$&$19$\\ risch&$\frac{25 \,{\mathrm e}^{{\mathrm e}^{5}-x -5}}{x^{2}}-\frac{7}{x^{2}}$&$20$\\ derivativedivides&$\frac{{\mathrm e}^{2 \ln \left(5\right)+{\mathrm e}^{5}-x -5}}{x^{2}}-\frac{7}{x^{2}}$&$23$\\ default&$\frac{{\mathrm e}^{2 \ln \left(5\right)+{\mathrm e}^{5}-x -5}}{x^{2}}-\frac{7}{x^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"(-7+exp(2*ln(5)+exp(5)-x-5))/x^2","A"
4975,1,14,15,0.131000," ","int(((50*x^2-200*x)*exp(x)-4)/(x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x -4\right)+\ln \left(x \right)+50 \,{\mathrm e}^{x}$&$14$\\ norman&$-\ln \left(x -4\right)+\ln \left(x \right)+50 \,{\mathrm e}^{x}$&$14$\\ risch&$-\ln \left(x -4\right)+\ln \left(x \right)+50 \,{\mathrm e}^{x}$&$14$\\ \hline \end{longtable}"," ",0,"-ln(x-4)+ln(x)+50*exp(x)","A"
4976,1,31,20,0.049000," ","int(1/3*(3+x)*exp(1/3*x)*ln(x)+1/3*((3+x)*exp(2)^2+(2*x+6)*exp(2)+x+6)*exp(1/3*x)-2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left({\mathrm e}^{4}+2 \,{\mathrm e}^{2}+1\right) x \,{\mathrm e}^{\frac{x}{3}}+{\mathrm e}^{\frac{x}{3}} \ln \left(x \right) x -x^{2}$&$31$\\ risch&${\mathrm e}^{\frac{x}{3}} \ln \left(x \right) x -3 \,{\mathrm e}^{\frac{x}{3}}+\frac{\left(3 x \,{\mathrm e}^{4}+6 \,{\mathrm e}^{2} x +3 x +9\right) {\mathrm e}^{\frac{x}{3}}}{3}-x^{2}$&$42$\\ default&$-x^{2}+x \,{\mathrm e}^{\frac{x}{3}}+6 \,{\mathrm e}^{2} {\mathrm e}^{\frac{x}{3}}+3 \,{\mathrm e}^{4} {\mathrm e}^{\frac{x}{3}}+6 \,{\mathrm e}^{2} \left(\frac{x \,{\mathrm e}^{\frac{x}{3}}}{3}-{\mathrm e}^{\frac{x}{3}}\right)+3 \,{\mathrm e}^{4} \left(\frac{x \,{\mathrm e}^{\frac{x}{3}}}{3}-{\mathrm e}^{\frac{x}{3}}\right)+{\mathrm e}^{\frac{x}{3}} \ln \left(x \right) x$&$77$\\ \hline \end{longtable}"," ",0,"(exp(2)^2+2*exp(2)+1)*x*exp(1/3*x)+exp(1/3*x)*ln(x)*x-x^2","A"
4977,1,25,29,0.026000," ","int(((x^11-10*x^8)*ln(x)^4+(-18*x^7+36*x^6+180*x^4)*ln(x)^2+18*x^6*ln(x)+81*x^3-810)/(x^11*ln(x)^4-18*x^7*ln(x)^2+81*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3}+5}{x^{2}}-\frac{9}{x^{4} \ln \left(x \right)^{2}-9}$&$25$\\ \hline \end{longtable}"," ",0,"(x^3+5)/x^2-9/(x^4*ln(x)^2-9)","A"
4978,1,31,26,0.178000," ","int(((2*x^2*exp(5)+3*x^2)*ln(x)^2+(-4*x*exp(4)*exp(5)-6*x*exp(4))*ln(x)+2*exp(4)^2*exp(5)+3*exp(4)^2+(-x^2-6*x-9)*exp(4)-x^3-6*x^2-9*x)/((x^4+6*x^3+9*x^2)*ln(x)^2+(-2*x^3-12*x^2-18*x)*exp(4)*ln(x)+(x^2+6*x+9)*exp(4)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \,{\mathrm e}^{5}}{3+x}-\frac{3}{3+x}-\frac{x}{-x \ln \left(x \right)+{\mathrm e}^{4}}$&$31$\\ norman&$\frac{-3 x +\left(3+2 \,{\mathrm e}^{5}\right) x \ln \left(x \right)-x^{2}-2 \,{\mathrm e}^{4} {\mathrm e}^{5}-3 \,{\mathrm e}^{4}}{\left(3+x \right) \left(-x \ln \left(x \right)+{\mathrm e}^{4}\right)}$&$46$\\ \hline \end{longtable}"," ",0,"-2/(3+x)*exp(5)-3/(3+x)-x/(-x*ln(x)+exp(4))","A"
4979,1,32,30,0.071000," ","int(((4*x^2-20*x)*ln(x)+(x^2-4*x-5)*exp(x)-6*x^3+32*x^2-10*x-1)/exp(2*x^2*ln(x)+exp(x)*x+exp(3)-2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(5-x \right) x^{-2 x^{2}} {\mathrm e}^{-{\mathrm e}^{x} x -{\mathrm e}^{3}+2 x^{3}}$&$32$\\ \hline \end{longtable}"," ",0,"(5-x)/(x^(2*x^2))*exp(-exp(x)*x-exp(3)+2*x^3)","A"
4980,1,46,30,0.062000," ","int(1/8*((2*x+2)*exp(2)-6*x^2-14*x-2)*exp(x-4)+1/8*(4*x-2)*exp(2)-9/4*x^2+9/8*x+5/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{5}{4}-\frac{{\mathrm e}^{2}}{4}\right) x +\left(\frac{{\mathrm e}^{2}}{4}+\frac{9}{16}\right) x^{2}+\left(\frac{{\mathrm e}^{2}}{4}-\frac{1}{4}\right) x \,{\mathrm e}^{x -4}-\frac{3 x^{3}}{4}-\frac{3 x^{2} {\mathrm e}^{x -4}}{4}$&$46$\\ risch&$\frac{\left(2 \,{\mathrm e}^{2} x -6 x^{2}-2 x \right) {\mathrm e}^{x -4}}{8}+\frac{x^{2} {\mathrm e}^{2}}{4}-\frac{{\mathrm e}^{2} x}{4}-\frac{3 x^{3}}{4}+\frac{9 x^{2}}{16}+\frac{5 x}{4}$&$47$\\ default&$\frac{5 x}{4}+\frac{9 x^{2}}{16}-\frac{3 x^{3}}{4}+\frac{{\mathrm e}^{2} \left(2 x^{2}-2 x \right)}{8}-\frac{25 \,{\mathrm e}^{x -4} \left(x -4\right)}{4}-13 \,{\mathrm e}^{x -4}-\frac{3 \,{\mathrm e}^{x -4} \left(x -4\right)^{2}}{4}+\frac{5 \,{\mathrm e}^{x -4} {\mathrm e}^{2}}{4}+\frac{{\mathrm e}^{2} \left({\mathrm e}^{x -4} \left(x -4\right)-{\mathrm e}^{x -4}\right)}{4}$&$81$\\ derivativedivides&$\frac{23 x}{4}-23+\frac{9 \left(x -4\right)^{2}}{16}-\frac{3 x^{3}}{4}+\frac{{\mathrm e}^{2} \left(2 \left(x -4\right)^{2}+14 x -56\right)}{8}-\frac{25 \,{\mathrm e}^{x -4} \left(x -4\right)}{4}-13 \,{\mathrm e}^{x -4}-\frac{3 \,{\mathrm e}^{x -4} \left(x -4\right)^{2}}{4}+\frac{5 \,{\mathrm e}^{x -4} {\mathrm e}^{2}}{4}+\frac{{\mathrm e}^{2} \left({\mathrm e}^{x -4} \left(x -4\right)-{\mathrm e}^{x -4}\right)}{4}$&$87$\\ \hline \end{longtable}"," ",0,"(5/4-1/4*exp(2))*x+(1/4*exp(2)+9/16)*x^2+(1/4*exp(2)-1/4)*x*exp(x-4)-3/4*x^3-3/4*x^2*exp(x-4)","A"
4981,1,16,15,0.193000," ","int((-240*exp(4)+240*x^2-360*x)/(16*x^2-24*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{60 x^{2}+60 \,{\mathrm e}^{4}}{4 x -3}$&$16$\\ norman&$\frac{60 x^{2}+60 \,{\mathrm e}^{4}}{4 x -3}$&$19$\\ default&$15 x -\frac{120 \left(-\frac{9}{32}-\frac{{\mathrm e}^{4}}{2}\right)}{4 x -3}$&$20$\\ risch&$15 x +\frac{135}{16 \left(x -\frac{3}{4}\right)}+\frac{15 \,{\mathrm e}^{4}}{x -\frac{3}{4}}$&$21$\\ meijerg&$-\frac{80 \,{\mathrm e}^{4} x}{3 \left(1-\frac{4 x}{3}\right)}+\frac{5 x \left(6-4 x \right)}{1-\frac{4 x}{3}}-\frac{30 x}{1-\frac{4 x}{3}}$&$39$\\ \hline \end{longtable}"," ",0,"60*(exp(4)+x^2)/(4*x-3)","A"
4982,1,9,10,0.036000," ","int(-1/81*exp(2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{2} {\mathrm e}^{-x}}{81}$&$9$\\ derivativedivides&$\frac{{\mathrm e}^{2} {\mathrm e}^{-x}}{81}$&$9$\\ default&$\frac{{\mathrm e}^{2} {\mathrm e}^{-x}}{81}$&$9$\\ norman&$\frac{{\mathrm e}^{2} {\mathrm e}^{-x}}{81}$&$9$\\ risch&$\frac{{\mathrm e}^{2-x}}{81}$&$9$\\ meijerg&$-\frac{{\mathrm e}^{2} \left(1-{\mathrm e}^{-x}\right)}{81}$&$13$\\ \hline \end{longtable}"," ",0,"1/81*exp(2)/exp(x)","A"
4983,1,23,27,0.070000," ","int(((-x^3-5*x^2+x+3)*ln((-x^3-5*x^2+x+3)/x)+2*x^3+5*x^2+3)/(x^5+5*x^4-x^3-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(\frac{-x^{3}-5 x^{2}+x +3}{x}\right)}{x}$&$23$\\ norman&$\frac{\ln \left(\frac{-x^{3}-5 x^{2}+x +3}{x}\right)}{x}$&$23$\\ risch&$\frac{\ln \left(\frac{-x^{3}-5 x^{2}+x +3}{x}\right)}{x}$&$23$\\ \hline \end{longtable}"," ",0,"1/x*ln((-x^3-5*x^2+x+3)/x)","A"
4984,1,22,22,0.074000," ","int((((-24*x+120)*exp(4/x^2)-15*x^2)*exp(exp(4/x^2))-5*x^2)/(9*x^4*exp(exp(4/x^2))^2+6*x^4*exp(exp(4/x^2))+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x -5}{x \left(1+3 \,{\mathrm e}^{{\mathrm e}^{\frac{4}{x^{2}}}}\right)}$&$22$\\ norman&$\frac{3 x^{3} {\mathrm e}^{{\mathrm e}^{\frac{4}{x^{2}}}}+5 x^{2}}{x^{3} \left(1+3 \,{\mathrm e}^{{\mathrm e}^{\frac{4}{x^{2}}}}\right)}$&$36$\\ \hline \end{longtable}"," ",0,"-(x-5)/x/(1+3*exp(exp(4/x^2)))","A"
4985,1,19,23,0.128000," ","int((-50*ln(1/12*x+4)+(-25*x-1200)*exp(x)+25*x+1200)/(x+48),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$25 x -25 \ln \left(\frac{x}{12}+4\right)^{2}-25 \,{\mathrm e}^{x}$&$19$\\ norman&$25 x -25 \ln \left(\frac{x}{12}+4\right)^{2}-25 \,{\mathrm e}^{x}$&$19$\\ risch&$25 x -25 \ln \left(\frac{x}{12}+4\right)^{2}-25 \,{\mathrm e}^{x}$&$19$\\ \hline \end{longtable}"," ",0,"25*x-25*ln(1/12*x+4)^2-25*exp(x)","A"
4986,1,244,26,0.125000," ","int(((2*x+32)*ln(x+16)-x)/(((x^2+16*x)*ln(x+16)-x^4-16*x^3)*ln(x^2*exp(3)/(ln(2)*ln(x+16)-x^2*ln(2)))+(4*x^2+64*x)*ln(x+16)-4*x^4-64*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{-\ln \left(x +16\right)+x^{2}}\right) \mathrm{csgn}\left(\frac{i x^{2}}{-\ln \left(x +16\right)+x^{2}}\right)}{2}-\frac{i \pi  \mathrm{csgn}\left(\frac{i x^{2}}{-\ln \left(x +16\right)+x^{2}}\right)^{3}}{2}+\frac{i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{-\ln \left(x +16\right)+x^{2}}\right)^{2}}{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i x^{2}}{-\ln \left(x +16\right)+x^{2}}\right)^{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{-\ln \left(x +16\right)+x^{2}}\right) \mathrm{csgn}\left(\frac{i x^{2}}{-\ln \left(x +16\right)+x^{2}}\right)^{2}}{2}-i \pi -7+\ln \left(\ln \left(2\right)\right)-2 \ln \left(x \right)+\ln \left(-\ln \left(x +16\right)+x^{2}\right)\right)$&$244$\\ \hline \end{longtable}"," ",0,"ln(1/2*I*Pi*csgn(I*x^2)^3+1/2*I*Pi*csgn(I*x^2)*csgn(I/(-ln(x+16)+x^2))*csgn(I*x^2/(-ln(x+16)+x^2))-1/2*I*Pi*csgn(I*x^2/(-ln(x+16)+x^2))^3+1/2*I*Pi*csgn(I*x)^2*csgn(I*x^2)-1/2*I*Pi*csgn(I*x^2)*csgn(I*x^2/(-ln(x+16)+x^2))^2-I*Pi*csgn(I*x)*csgn(I*x^2)^2+I*Pi*csgn(I*x^2/(-ln(x+16)+x^2))^2-1/2*I*Pi*csgn(I/(-ln(x+16)+x^2))*csgn(I*x^2/(-ln(x+16)+x^2))^2-I*Pi-7+ln(ln(2))-2*ln(x)+ln(-ln(x+16)+x^2))","C"
4987,1,38,23,0.062000," ","int((-2*x^2*exp(4)^2+(3*x^3+6*x^2)*exp(4)+exp(3)^2-6*x^3-4*x^2)/x/exp(3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} {\mathrm e}^{2}+x^{3} {\mathrm e}^{-2}+3 x^{2} {\mathrm e}^{-2}-2 \,{\mathrm e}^{-6} x^{3}-2 \,{\mathrm e}^{-6} x^{2}+\ln \left(x \right)$&$38$\\ norman&$\left(\left({\mathrm e}^{4}-2\right) {\mathrm e}^{-3} x^{3}-\left({\mathrm e}^{8}-3 \,{\mathrm e}^{4}+2\right) {\mathrm e}^{-3} x^{2}\right) {\mathrm e}^{-3}+\ln \left(x \right)$&$41$\\ default&${\mathrm e}^{-6} \left(x^{3} {\mathrm e}^{4}+3 x^{2} {\mathrm e}^{4}-x^{2} {\mathrm e}^{8}-2 x^{3}-2 x^{2}+{\mathrm e}^{6} \ln \left(x \right)\right)$&$42$\\ \hline \end{longtable}"," ",0,"-x^2*exp(2)+x^3*exp(-2)+3*x^2*exp(-2)-2*exp(-6)*x^3-2*exp(-6)*x^2+ln(x)","A"
4988,1,7,7,0.023000," ","int(exp(x)+7/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{7 x}{2}+{\mathrm e}^{x}$&$7$\\ norman&$\frac{7 x}{2}+{\mathrm e}^{x}$&$7$\\ risch&$\frac{7 x}{2}+{\mathrm e}^{x}$&$7$\\ derivativedivides&${\mathrm e}^{x}+\frac{7 \ln \left({\mathrm e}^{x}\right)}{2}$&$9$\\ \hline \end{longtable}"," ",0,"7/2*x+exp(x)","A"
4989,0,0,31,0.150000," ","int(((4*x^5+384*x^4+14568*x^3+248400*x^2+1542564*x)*exp(4/(x^2+50*x+621))-14*x^5-1388*x^4-51188*x^3-824496*x^2-4653774*x+4627692)*exp((x*ln((x*exp(4/(x^2+50*x+621))+3-2*x)/x)-2)/x)^2/((x^7+100*x^6+3742*x^5+62100*x^4+385641*x^3)*exp(4/(x^2+50*x+621))-2*x^7-197*x^6-7184*x^5-112974*x^4-584982*x^3+1156923*x^2),x)","\[\int \frac{\left(\left(4 x^{5}+384 x^{4}+14568 x^{3}+248400 x^{2}+1542564 x \right) {\mathrm e}^{\frac{4}{x^{2}+50 x +621}}-14 x^{5}-1388 x^{4}-51188 x^{3}-824496 x^{2}-4653774 x +4627692\right) {\mathrm e}^{\frac{2 x \ln \left(\frac{x \,{\mathrm e}^{\frac{4}{x^{2}+50 x +621}}+3-2 x}{x}\right)-4}{x}}}{\left(x^{7}+100 x^{6}+3742 x^{5}+62100 x^{4}+385641 x^{3}\right) {\mathrm e}^{\frac{4}{x^{2}+50 x +621}}-2 x^{7}-197 x^{6}-7184 x^{5}-112974 x^{4}-584982 x^{3}+1156923 x^{2}}\, dx\]"," ",0,"int(((4*x^5+384*x^4+14568*x^3+248400*x^2+1542564*x)*exp(4/(x^2+50*x+621))-14*x^5-1388*x^4-51188*x^3-824496*x^2-4653774*x+4627692)*exp((x*ln((x*exp(4/(x^2+50*x+621))+3-2*x)/x)-2)/x)^2/((x^7+100*x^6+3742*x^5+62100*x^4+385641*x^3)*exp(4/(x^2+50*x+621))-2*x^7-197*x^6-7184*x^5-112974*x^4-584982*x^3+1156923*x^2),x)","F"
4990,1,18,13,0.118000," ","int(((9*x^2*ln(2)+9*x^3)*ln(1/4*x*ln(2)+1/4*x^2)+3*x^2*ln(2)+6*x^3)/(10*ln(2)+10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 x^{3} \ln \left(\frac{x \ln \left(2\right)}{4}+\frac{x^{2}}{4}\right)}{10}$&$18$\\ risch&$\frac{3 x^{3} \ln \left(\frac{x \ln \left(2\right)}{4}+\frac{x^{2}}{4}\right)}{10}$&$18$\\ default&$\frac{3 x^{3} \ln \left(x \ln \left(2\right)+x^{2}\right)}{10}-\frac{3 x^{3} \ln \left(2\right)}{5}$&$23$\\ \hline \end{longtable}"," ",0,"3/10*x^3*ln(1/4*x*ln(2)+1/4*x^2)","A"
4991,1,35,29,0.155000," ","int((((x^3-x^2)*ln(5)^2+(8*x^2-16*x)*ln(5)+16*x-48)*exp(x)+x^2*exp(1)*exp(3)-x^4*exp(1))/x^4/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{{\mathrm e}^{3}}{x}+\frac{\left(x^{2} \ln \left(5\right)^{2}+8 x \ln \left(5\right)+16\right) {\mathrm e}^{x -1}}{x^{3}}$&$35$\\ default&${\mathrm e}^{-1} \left(-\frac{{\mathrm e} \,{\mathrm e}^{3}}{x}+\frac{16 \,{\mathrm e}^{x}}{x^{3}}+\frac{8 \,{\mathrm e}^{x} \ln \left(5\right)}{x^{2}}+\frac{\ln \left(5\right)^{2} {\mathrm e}^{x}}{x}-x \,{\mathrm e}\right)$&$47$\\ norman&$\frac{{\mathrm e}^{-1} \ln \left(5\right)^{2} x^{2} {\mathrm e}^{x}-x^{4}-x^{2} {\mathrm e}^{3}+16 \,{\mathrm e}^{x} {\mathrm e}^{-1}+8 \,{\mathrm e}^{-1} \ln \left(5\right) x \,{\mathrm e}^{x}}{x^{3}}$&$51$\\ \hline \end{longtable}"," ",0,"-x-exp(3)/x+1/x^3*(x^2*ln(5)^2+8*x*ln(5)+16)*exp(x-1)","A"
4992,1,77,22,0.063000," ","int(((32*x^6+16*x^5)*exp(2)^2+(-96*x^7-64*x^6+8*x^5+800*x^3+400*x^2)*exp(2)+64*x^8+48*x^7-24*x^6+792*x^5+200*x^3-19600*x^2-30000*x-10000)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2500+\left(-800 \,{\mathrm e}^{2}-200\right) x^{3}+\left(-200 \,{\mathrm e}^{2}+9800\right) x^{2}+\left(-32 \,{\mathrm e}^{2}+16\right) x^{7}+\left(16 \,{\mathrm e}^{4}-32 \,{\mathrm e}^{2}-12\right) x^{6}+\left(16 \,{\mathrm e}^{4}+8 \,{\mathrm e}^{2}+792\right) x^{5}+10000 x +16 x^{8}}{x^{4}}$&$77$\\ risch&$16 x^{2} {\mathrm e}^{4}-32 x^{3} {\mathrm e}^{2}+16 x^{4}+16 x \,{\mathrm e}^{4}-32 x^{2} {\mathrm e}^{2}+16 x^{3}+8 \,{\mathrm e}^{2} x -12 x^{2}+792 x +\frac{\left(-800 \,{\mathrm e}^{2}-200\right) x^{3}+\left(-200 \,{\mathrm e}^{2}+9800\right) x^{2}+10000 x +2500}{x^{4}}$&$80$\\ default&$-32 x^{3} {\mathrm e}^{2}+16 x^{4}-32 x^{2} {\mathrm e}^{2}+16 x^{2} {\mathrm e}^{4}+16 x^{3}+8 \,{\mathrm e}^{2} x +16 x \,{\mathrm e}^{4}-12 x^{2}+792 x +\frac{2500}{x^{4}}-\frac{8 \left(100 \,{\mathrm e}^{2}+25\right)}{x}-\frac{4 \left(-2450+50 \,{\mathrm e}^{2}\right)}{x^{2}}+\frac{10000}{x^{3}}$&$83$\\ gosper&$\frac{16 x^{6} {\mathrm e}^{4}-32 \,{\mathrm e}^{2} x^{7}+16 x^{8}+16 x^{5} {\mathrm e}^{4}-32 x^{6} {\mathrm e}^{2}+16 x^{7}+8 \,{\mathrm e}^{2} x^{5}-12 x^{6}+792 x^{5}-800 x^{3} {\mathrm e}^{2}-200 x^{2} {\mathrm e}^{2}-200 x^{3}+9800 x^{2}+10000 x +2500}{x^{4}}$&$94$\\ \hline \end{longtable}"," ",0,"(2500+(-800*exp(2)-200)*x^3+(-200*exp(2)+9800)*x^2+(-32*exp(2)+16)*x^7+(16*exp(2)^2-32*exp(2)-12)*x^6+(16*exp(2)^2+8*exp(2)+792)*x^5+10000*x+16*x^8)/x^4","B"
4993,1,91,33,0.076000," ","int(((-2*x^4-4*x^3+4*x^2+2*x)*exp(x)*ln(9*x^2+27*x+9)^2+((2*x^4+2*x^3-10*x^2-4*x)*exp(x)^2+(-2*x^5+20*x^4+60*x^3-28*x^2-20*x)*exp(x)-2*x^5-10*x^4-8*x^3)*ln(9*x^2+27*x+9)+(2*x^3+6*x^2+2*x)*exp(x)^3+(-16*x^4-32*x^3+38*x^2+20*x)*exp(x)^2+(16*x^5-24*x^4-182*x^3+40*x^2+50*x)*exp(x)-2*x^6+42*x^4+40*x^3)/((x^2+3*x+1)*exp(x)^3+(-3*x^3-9*x^2-3*x)*exp(x)^2+(3*x^4+9*x^3+3*x^2)*exp(x)-x^5-3*x^4-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} \ln \left(9 x^{2}+27 x +9\right)^{2}}{\left(x -{\mathrm e}^{x}\right)^{2}}+\frac{2 x^{2} \left(-{\mathrm e}^{x}+x -5\right) \ln \left(9 x^{2}+27 x +9\right)}{\left(x -{\mathrm e}^{x}\right)^{2}}+\frac{x^{2} \left(x^{2}-2 \,{\mathrm e}^{x} x +{\mathrm e}^{2 x}-10 x +10 \,{\mathrm e}^{x}+25\right)}{\left(x -{\mathrm e}^{x}\right)^{2}}$&$91$\\ \hline \end{longtable}"," ",0,"x^2/(x-exp(x))^2*ln(9*x^2+27*x+9)^2+2*x^2*(-exp(x)+x-5)/(x-exp(x))^2*ln(9*x^2+27*x+9)+x^2*(x^2-2*exp(x)*x+exp(2*x)-10*x+10*exp(x)+25)/(x-exp(x))^2","B"
4994,1,34,30,0.244000," ","int((((-81*x^3-54*x^2-9*x)*exp(4)+18*x^3)*ln(3)^2+(9*x^2+6*x+1)*exp(4)^2+(-6*x^3-8*x^2-2*x)*exp(4)+x^4+2*x^3+x^2)*exp((-27*x^2-9*x)*ln(3)^2/((3*x+1)*exp(4)-x^2-x))/((9*x^2+6*x+1)*exp(4)^2+(-6*x^3-8*x^2-2*x)*exp(4)+x^4+2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \,{\mathrm e}^{-\frac{9 x \left(3 x +1\right) \ln \left(3\right)^{2}}{3 x \,{\mathrm e}^{4}-x^{2}+{\mathrm e}^{4}-x}}$&$34$\\ risch&$x \,{\mathrm e}^{-\frac{9 x \left(3 x +1\right) \ln \left(3\right)^{2}}{3 x \,{\mathrm e}^{4}-x^{2}+{\mathrm e}^{4}-x}}$&$34$\\ norman&$\frac{x \,{\mathrm e}^{4} {\mathrm e}^{\frac{\left(-27 x^{2}-9 x \right) \ln \left(3\right)^{2}}{\left(3 x +1\right) {\mathrm e}^{4}-x^{2}-x}}+\left(3 \,{\mathrm e}^{4}-1\right) x^{2} {\mathrm e}^{\frac{\left(-27 x^{2}-9 x \right) \ln \left(3\right)^{2}}{\left(3 x +1\right) {\mathrm e}^{4}-x^{2}-x}}-x^{3} {\mathrm e}^{\frac{\left(-27 x^{2}-9 x \right) \ln \left(3\right)^{2}}{\left(3 x +1\right) {\mathrm e}^{4}-x^{2}-x}}}{3 x \,{\mathrm e}^{4}-x^{2}+{\mathrm e}^{4}-x}$&$142$\\ \hline \end{longtable}"," ",0,"x*exp(-9*x*(3*x+1)*ln(3)^2/(3*x*exp(4)-x^2+exp(4)-x))","A"
4995,1,92,25,0.171000," ","int(((-162*x^9-567*x^8+36*x^5+54*x^4-2*x+1)*exp(x-2)^2+(-162*x^10-1458*x^9-1134*x^8+36*x^6+180*x^5+108*x^4-2*x^2-2*x+2)*exp(x-2)-729*x^10-1296*x^9-567*x^8+90*x^6+144*x^5+54*x^4+1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-81 x^{9}-162 x^{8}-81 x^{7}+18 x^{5}+36 x^{4}+18 x^{3}-\frac{1}{x}-\frac{\left(81 x^{8}-18 x^{4}+1\right) {\mathrm e}^{2 x -4}}{x}-\frac{2 \left(81 x^{9}+81 x^{8}-18 x^{5}-18 x^{4}+x +1\right) {\mathrm e}^{x -2}}{x}$&$92$\\ norman&$\frac{-1+18 x^{4}+36 x^{5}+18 x^{6}-81 x^{8}-162 x^{9}-81 x^{10}-{\mathrm e}^{2 x -4}-2 x \,{\mathrm e}^{x -2}+36 x^{4} {\mathrm e}^{x -2}+18 x^{4} {\mathrm e}^{2 x -4}+36 \,{\mathrm e}^{x -2} x^{5}-162 \,{\mathrm e}^{x -2} x^{8}-162 \,{\mathrm e}^{x -2} x^{9}-81 \,{\mathrm e}^{2 x -4} x^{8}-2 \,{\mathrm e}^{x -2}}{x}$&$116$\\ derivativedivides&$771984-385992 x -\frac{2 \,{\mathrm e}^{x -2}}{x}-715572 \left(x -2\right)^{2}-61346 \,{\mathrm e}^{x -2}-\frac{1}{x}-81 \,{\mathrm e}^{2 x -4} \left(x -2\right)^{7}-1134 \,{\mathrm e}^{2 x -4} \left(x -2\right)^{6}-6804 \,{\mathrm e}^{2 x -4} \left(x -2\right)^{5}-22680 \,{\mathrm e}^{2 x -4} \left(x -2\right)^{4}-45342 \,{\mathrm e}^{2 x -4} \left(x -2\right)^{3}-54324 \,{\mathrm e}^{2 x -4} \left(x -2\right)^{2}-36072 \,{\mathrm e}^{2 x -4} \left(x -2\right)-\frac{{\mathrm e}^{2 x -4}}{x}-10224 \,{\mathrm e}^{2 x -4}-162 \,{\mathrm e}^{x -2} \left(x -2\right)^{8}-2754 \,{\mathrm e}^{x -2} \left(x -2\right)^{7}-20412 \,{\mathrm e}^{x -2} \left(x -2\right)^{6}-86184 \,{\mathrm e}^{x -2} \left(x -2\right)^{5}-226764 \,{\mathrm e}^{x -2} \left(x -2\right)^{4}-380700 \,{\mathrm e}^{x -2} \left(x -2\right)^{3}-398088 \,{\mathrm e}^{x -2} \left(x -2\right)^{2}-236880 \,{\mathrm e}^{x -2} \left(x -2\right)-81 \left(x -2\right)^{9}-1620 \left(x -2\right)^{8}-14337 \left(x -2\right)^{7}-73710 \left(x -2\right)^{6}-242658 \left(x -2\right)^{5}-530496 \left(x -2\right)^{4}-770094 \left(x -2\right)^{3}$&$276$\\ default&$771984-385992 x -\frac{2 \,{\mathrm e}^{x -2}}{x}-715572 \left(x -2\right)^{2}-61346 \,{\mathrm e}^{x -2}-\frac{1}{x}-81 \,{\mathrm e}^{2 x -4} \left(x -2\right)^{7}-1134 \,{\mathrm e}^{2 x -4} \left(x -2\right)^{6}-6804 \,{\mathrm e}^{2 x -4} \left(x -2\right)^{5}-22680 \,{\mathrm e}^{2 x -4} \left(x -2\right)^{4}-45342 \,{\mathrm e}^{2 x -4} \left(x -2\right)^{3}-54324 \,{\mathrm e}^{2 x -4} \left(x -2\right)^{2}-36072 \,{\mathrm e}^{2 x -4} \left(x -2\right)-\frac{{\mathrm e}^{2 x -4}}{x}-10224 \,{\mathrm e}^{2 x -4}-162 \,{\mathrm e}^{x -2} \left(x -2\right)^{8}-2754 \,{\mathrm e}^{x -2} \left(x -2\right)^{7}-20412 \,{\mathrm e}^{x -2} \left(x -2\right)^{6}-86184 \,{\mathrm e}^{x -2} \left(x -2\right)^{5}-226764 \,{\mathrm e}^{x -2} \left(x -2\right)^{4}-380700 \,{\mathrm e}^{x -2} \left(x -2\right)^{3}-398088 \,{\mathrm e}^{x -2} \left(x -2\right)^{2}-236880 \,{\mathrm e}^{x -2} \left(x -2\right)-81 \left(x -2\right)^{9}-1620 \left(x -2\right)^{8}-14337 \left(x -2\right)^{7}-73710 \left(x -2\right)^{6}-242658 \left(x -2\right)^{5}-530496 \left(x -2\right)^{4}-770094 \left(x -2\right)^{3}$&$276$\\ \hline \end{longtable}"," ",0,"-81*x^9-162*x^8-81*x^7+18*x^5+36*x^4+18*x^3-1/x-(81*x^8-18*x^4+1)/x*exp(2*x-4)-2*(81*x^9+81*x^8-18*x^5-18*x^4+x+1)/x*exp(x-2)","B"
4996,1,131,22,1.523000," ","int(((-8*ln(20)*exp(x)+2*ln(20))*exp(exp(x))+6*ln(20))*exp(ln(20)/ln(ln(exp(exp(x))+3)^2+1/16*(-8*x-64)*ln(exp(exp(x))+3)+1/16*x^2+x+4))/((4*exp(exp(x))+12)*ln(exp(exp(x))+3)+(-x-8)*exp(exp(x))-3*x-24)/ln(ln(exp(exp(x))+3)^2+1/16*(-8*x-64)*ln(exp(exp(x))+3)+1/16*x^2+x+4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 \left(2 \ln \left(2\right)+\ln \left(5\right)\right)}{i \pi  \mathrm{csgn}\left(i \left(-4 \ln \left({\mathrm e}^{{\mathrm e}^{x}}+3\right)+x +8\right)^{2}\right)^{3}-2 i \pi  \mathrm{csgn}\left(i \left(-4 \ln \left({\mathrm e}^{{\mathrm e}^{x}}+3\right)+x +8\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(-4 \ln \left({\mathrm e}^{{\mathrm e}^{x}}+3\right)+x +8\right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(-4 \ln \left({\mathrm e}^{{\mathrm e}^{x}}+3\right)+x +8\right)^{2}\right) \mathrm{csgn}\left(i \left(-4 \ln \left({\mathrm e}^{{\mathrm e}^{x}}+3\right)+x +8\right)\right)^{2}+8 \ln \left(2\right)-4 \ln \left(-4 \ln \left({\mathrm e}^{{\mathrm e}^{x}}+3\right)+x +8\right)}}$&$131$\\ \hline \end{longtable}"," ",0,"exp(-2*(2*ln(2)+ln(5))/(I*Pi*csgn(I*(-4*ln(exp(exp(x))+3)+x+8)^2)^3-2*I*Pi*csgn(I*(-4*ln(exp(exp(x))+3)+x+8)^2)^2*csgn(I*(-4*ln(exp(exp(x))+3)+x+8))+I*Pi*csgn(I*(-4*ln(exp(exp(x))+3)+x+8)^2)*csgn(I*(-4*ln(exp(exp(x))+3)+x+8))^2+8*ln(2)-4*ln(-4*ln(exp(exp(x))+3)+x+8)))","C"
4997,1,27,24,0.130000," ","int((((-5*x^3+10*x-10)*exp(x)-x^2)*exp(((-5*x^2+5*x+10)*exp(x)-x^2-x)/x/ln(3))+x^2*ln(3))/x^2/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-\frac{\left(x +1\right) \left(5 \,{\mathrm e}^{x} x -10 \,{\mathrm e}^{x}+x \right)}{\ln \left(3\right) x}}$&$27$\\ norman&$\frac{x^{2}+x \,{\mathrm e}^{\frac{\left(-5 x^{2}+5 x +10\right) {\mathrm e}^{x}-x^{2}-x}{x \ln \left(3\right)}}}{x}$&$42$\\ \hline \end{longtable}"," ",0,"x+exp(-(x+1)*(5*exp(x)*x-10*exp(x)+x)/ln(3)/x)","A"
4998,1,65,31,0.431000," ","int(((-25*x^2-250*x-625)*exp(3)^4+(15*x^3+50*x^2-525*x-2000)*exp(3)^3+(-x^4+25*x^3+115*x^2-500*x-2350)*exp(3)^2+(-2*x^4+4*x^3+40*x^2-215*x-1200)*exp(3)-x^4-6*x^3-4*x^2-30*x-225)/((25*x^3+250*x^2+625*x)*exp(3)^4+(10*x^4+200*x^3+1150*x^2+2000*x)*exp(3)^3+(x^5+40*x^4+435*x^3+1750*x^2+2350*x)*exp(3)^2+(2*x^5+46*x^4+350*x^3+1090*x^2+1200*x)*exp(3)+x^5+16*x^4+94*x^3+240*x^2+225*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-5 \,{\mathrm e}^{6}-8 \,{\mathrm e}^{3}-2\right) x -25 \,{\mathrm e}^{6}-30 \,{\mathrm e}^{3}-9}{x \,{\mathrm e}^{6}+\frac{x^{2} {\mathrm e}^{3}}{5}+5 \,{\mathrm e}^{6}+3 x \,{\mathrm e}^{3}+\frac{x^{2}}{5}+8 \,{\mathrm e}^{3}+\frac{8 x}{5}+3}-\ln \left(x \right)$&$65$\\ norman&$\frac{-\frac{\left(50 \,{\mathrm e}^{3}+25 \,{\mathrm e}^{9}+65 \,{\mathrm e}^{6}+10\right) x}{{\mathrm e}^{3}+1}-125 \,{\mathrm e}^{6}-45-150 \,{\mathrm e}^{3}}{5 x \,{\mathrm e}^{6}+x^{2} {\mathrm e}^{3}+25 \,{\mathrm e}^{6}+15 x \,{\mathrm e}^{3}+x^{2}+40 \,{\mathrm e}^{3}+8 x +15}-\ln \left(x \right)$&$84$\\ default&$\frac{5 \left(\munderset{\textit{\_R} =\RootOf \left(\left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) \textit{\_Z}^{4}+\left(46 \,{\mathrm e}^{3}+10 \,{\mathrm e}^{9}+40 \,{\mathrm e}^{6}+16\right) \textit{\_Z}^{3}+\left(350 \,{\mathrm e}^{3}+25 \,{\mathrm e}^{12}+200 \,{\mathrm e}^{9}+435 \,{\mathrm e}^{6}+94\right) \textit{\_Z}^{2}+\left(1090 \,{\mathrm e}^{3}+250 \,{\mathrm e}^{12}+1150 \,{\mathrm e}^{9}+1750 \,{\mathrm e}^{6}+240\right) \textit{\_Z} +625 \,{\mathrm e}^{12}+2000 \,{\mathrm e}^{9}+2350 \,{\mathrm e}^{6}+1200 \,{\mathrm e}^{3}+225\right)}{\sum}\frac{\left(42+\left(2+10 \,{\mathrm e}^{3}+5 \,{\mathrm e}^{9}+13 \,{\mathrm e}^{6}\right) \textit{\_R}^{2}+2 \left(9+39 \,{\mathrm e}^{3}+25 \,{\mathrm e}^{9}+55 \,{\mathrm e}^{6}\right) \textit{\_R} +175 \,{\mathrm e}^{3}+125 \,{\mathrm e}^{9}+250 \,{\mathrm e}^{6}\right) \ln \left(x -\textit{\_R} \right)}{120+25 \textit{\_R} \,{\mathrm e}^{12}+15 \textit{\_R}^{2} {\mathrm e}^{9}+2 \textit{\_R}^{3} {\mathrm e}^{6}+125 \,{\mathrm e}^{12}+200 \textit{\_R} \,{\mathrm e}^{9}+60 \textit{\_R}^{2} {\mathrm e}^{6}+4 \textit{\_R}^{3} {\mathrm e}^{3}+575 \,{\mathrm e}^{9}+435 \textit{\_R} \,{\mathrm e}^{6}+69 \textit{\_R}^{2} {\mathrm e}^{3}+2 \textit{\_R}^{3}+875 \,{\mathrm e}^{6}+350 \textit{\_R} \,{\mathrm e}^{3}+24 \textit{\_R}^{2}+545 \,{\mathrm e}^{3}+94 \textit{\_R}}\right)}{2}-\ln \left(x \right)$&$246$\\ \hline \end{longtable}"," ",0,"((-5*exp(6)-8*exp(3)-2)*x-25*exp(6)-30*exp(3)-9)/(x*exp(6)+1/5*x^2*exp(3)+5*exp(6)+3*x*exp(3)+1/5*x^2+8*exp(3)+8/5*x+3)-ln(x)","B"
4999,1,46,23,0.217000," ","int(((-5*x*exp(2)*ln(x)^2+3*x*ln(x)-3*x)*ln(16*x^4)+4*ln(x)^2)/x/ln(x)^2/exp((5*x*exp(2)*ln(x)-3*x)/ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\left(\left(\ln \left(16 x^{4}\right)-4 \ln \left(x \right)\right) \ln \left(x \right)+4 \ln \left(x \right)^{2}\right) {\mathrm e}^{-\frac{5 x \,{\mathrm e}^{2} \ln \left(x \right)-3 x}{\ln \left(x \right)}}}{\ln \left(x \right)}$&$46$\\ risch&$\left(4 \ln \left(2\right)+4 \ln \left(x \right)-\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)}{2}-\frac{i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}}{2}-\frac{i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)}{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}}{2}-\frac{i \pi  \mathrm{csgn}\left(i x^{4}\right)^{3}}{2}\right) {\mathrm e}^{-\frac{x \left(5 \,{\mathrm e}^{2} \ln \left(x \right)-3\right)}{\ln \left(x \right)}}$&$224$\\ \hline \end{longtable}"," ",0,"((ln(16*x^4)-4*ln(x))*ln(x)+4*ln(x)^2)/ln(x)/exp((5*x*exp(2)*ln(x)-3*x)/ln(x))","A"
5000,1,14,19,0.026000," ","int(1/2*(-2*ln(x)+1)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{-1} x}{2}-x \,{\mathrm e}^{-1} \ln \left(x \right)$&$14$\\ default&$\frac{{\mathrm e}^{-1} \left(3 x -2 x \ln \left(x \right)\right)}{2}$&$16$\\ norman&$\frac{3 \,{\mathrm e}^{-1} x}{2}-x \,{\mathrm e}^{-1} \ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"3/2*exp(-1)*x-x*exp(-1)*ln(x)","A"
5001,1,26,18,0.137000," ","int(((x^3+26*x^2+195*x+324)*ln((x^2+14*x+27)/(x+12))+(4*x^7+104*x^6+780*x^5+1296*x^4+x^3+24*x^2+141*x)*ln(x)+x^7+26*x^6+195*x^5+324*x^4)/(x^4+26*x^3+195*x^2+324*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right) \ln \left(\frac{x^{2}+14 x +27}{x +12}\right)+x^{4} \ln \left(x \right)$&$26$\\ risch&$\ln \left(x \right) \ln \left(x^{2}+14 x +27\right)-\ln \left(x \right) \ln \left(x +12\right)+x^{4} \ln \left(x \right)-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{x +12}\right) \mathrm{csgn}\left(i \left(x^{2}+14 x +27\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+14 x +27\right)}{x +12}\right)}{2}+\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{x +12}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+14 x +27\right)}{x +12}\right)^{2}}{2}+\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(x^{2}+14 x +27\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+14 x +27\right)}{x +12}\right)^{2}}{2}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i \left(x^{2}+14 x +27\right)}{x +12}\right)^{3}}{2}$&$168$\\ \hline \end{longtable}"," ",0,"ln(x)*ln((x^2+14*x+27)/(x+12))+x^4*ln(x)","A"
5002,1,48,35,0.109000," ","int(((2*x^2*exp(x)^3+(6*x^3+18*x^2)*exp(x)^2+(6*x^4+36*x^3+54*x^2)*exp(x)+2*x^5+18*x^4+54*x^3+54*x^2)*exp(2*x)^2+((-4*x^3-4*x-2)*exp(x)^3+(-12*x^4-36*x^3-12*x^2-42*x-18)*exp(x)^2+(-12*x^5-72*x^4-120*x^3-78*x^2-152*x-56)*exp(x)-4*x^6-36*x^5-112*x^4-146*x^3-130*x^2-180*x-60)*exp(2*x)+(2*x^4+4*x)*exp(x)^3+(6*x^5+18*x^4+12*x^2+36*x)*exp(x)^2+(6*x^6+36*x^5+54*x^4+12*x^3+76*x^2+112*x)*exp(x)+2*x^7+18*x^6+54*x^5+58*x^4+36*x^3+116*x^2+120*x)/((x^2*exp(x)^3+(3*x^3+9*x^2)*exp(x)^2+(3*x^4+18*x^3+27*x^2)*exp(x)+x^5+9*x^4+27*x^3+27*x^2)*exp(2*x)^2+(-2*x^3*exp(x)^3+(-6*x^4-18*x^3)*exp(x)^2+(-6*x^5-36*x^4-54*x^3)*exp(x)-2*x^6-18*x^5-54*x^4-54*x^3)*exp(2*x)+x^4*exp(x)^3+(3*x^5+9*x^4)*exp(x)^2+(3*x^6+18*x^5+27*x^4)*exp(x)+x^7+9*x^6+27*x^5+27*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\frac{2 \left(x^{2}+2 \,{\mathrm e}^{x} x +{\mathrm e}^{2 x}+6 x +6 \,{\mathrm e}^{x}+10\right)}{x \left({\mathrm e}^{x}+3+x \right)^{2} \left(x -{\mathrm e}^{2 x}\right)}$&$48$\\ \hline \end{longtable}"," ",0,"2*x-2/x*(x^2+2*exp(x)*x+exp(2*x)+6*x+6*exp(x)+10)/(exp(x)+3+x)^2/(x-exp(2*x))","A"
5003,1,24,22,0.128000," ","int(((2*ln(5*exp(3))^2+2*x^2)*ln(ln(5*exp(3))^2+x^2)+(4*x+8)*ln(5*exp(3))^2+4*x^3+12*x^2)/(ln(5*exp(3))^2+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2}+2 x \ln \left(\left(\ln \left(5\right)+3\right)^{2}+x^{2}\right)+8 x$&$24$\\ norman&$8 x +2 x^{2}+2 x \ln \left(\ln \left(5 \,{\mathrm e}^{3}\right)^{2}+x^{2}\right)$&$25$\\ default&$8 x +2 x^{2}-\frac{4 \arctan \left(\frac{x}{\sqrt{\ln \left(5\right)^{2}+6 \ln \left(5\right)+9}}\right) \ln \left(5\right)^{2}}{\sqrt{\ln \left(5\right)^{2}+6 \ln \left(5\right)+9}}-\frac{24 \arctan \left(\frac{x}{\sqrt{\ln \left(5\right)^{2}+6 \ln \left(5\right)+9}}\right) \ln \left(5\right)}{\sqrt{\ln \left(5\right)^{2}+6 \ln \left(5\right)+9}}-\frac{36 \arctan \left(\frac{x}{\sqrt{\ln \left(5\right)^{2}+6 \ln \left(5\right)+9}}\right)}{\sqrt{\ln \left(5\right)^{2}+6 \ln \left(5\right)+9}}+2 x \ln \left(\ln \left(5 \,{\mathrm e}^{3}\right)^{2}+x^{2}\right)+4 \ln \left(5 \,{\mathrm e}^{3}\right) \arctan \left(\frac{x}{\ln \left(5 \,{\mathrm e}^{3}\right)}\right)$&$135$\\ \hline \end{longtable}"," ",0,"2*x^2+2*x*ln((ln(5)+3)^2+x^2)+8*x","A"
5004,1,51,26,0.038000," ","int(((120*ln(x)+4*x^3-12*x^2-120)*exp((30*ln(x)+3*x^2)/x)+(x^3-x^2)*exp(x))/(4*x^2*exp((30*ln(x)+3*x^2)/x)+exp(x)*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{30 \ln \left(x \right)}{x}+\frac{x^{2}}{2}-3 x +\frac{30 \ln \left(x \right)+3 x^{2}}{x}-\ln \left(\frac{{\mathrm e}^{x}}{4}+x^{\frac{30}{x}} {\mathrm e}^{3 x}\right)$&$51$\\ \hline \end{longtable}"," ",0,"-30*ln(x)/x+1/2*x^2-3*x+(30*ln(x)+3*x^2)/x-ln(1/4*exp(x)+x^(30/x)*exp(3*x))","A"
5005,1,9,12,0.132000," ","int((x^3-4)/x^3/exp(-2/3/x^3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{\frac{4}{3 x^{3}}}$&$9$\\ gosper&$x \,{\mathrm e}^{\frac{4}{3 x^{3}}}$&$11$\\ norman&$x \,{\mathrm e}^{\frac{4}{3 x^{3}}}$&$11$\\ meijerg&$-\frac{4^{\frac{1}{3}} 3^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \left(-\frac{3 \left(-1\right)^{\frac{2}{3}} \Gamma \left(\frac{2}{3}\right)}{x^{2} \left(-\frac{1}{x^{3}}\right)^{\frac{2}{3}}}+\frac{3 \,3^{\frac{1}{3}} 4^{\frac{2}{3}} x \left(-1\right)^{\frac{2}{3}} {\mathrm e}^{\frac{4}{3 x^{3}}}}{4}+\frac{3 \left(-1\right)^{\frac{2}{3}} \Gamma \left(\frac{2}{3}, -\frac{4}{3 x^{3}}\right)}{x^{2} \left(-\frac{1}{x^{3}}\right)^{\frac{2}{3}}}\right)}{9}-\frac{4^{\frac{1}{3}} 3^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \left(\frac{\left(-1\right)^{\frac{2}{3}} \Gamma \left(\frac{2}{3}\right)}{x^{2} \left(-\frac{1}{x^{3}}\right)^{\frac{2}{3}}}-\frac{\left(-1\right)^{\frac{2}{3}} \Gamma \left(\frac{2}{3}, -\frac{4}{3 x^{3}}\right)}{x^{2} \left(-\frac{1}{x^{3}}\right)^{\frac{2}{3}}}\right)}{3}$&$121$\\ \hline \end{longtable}"," ",0,"x*exp(4/3/x^3)","A"
5006,1,17,18,0.220000," ","int((20*ln(2)-228)/(45*ln(2)^2+(180*x-1440)*ln(2)+180*x^2-2880*x+11520),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{38}{15}-\frac{2 \ln \left(2\right)}{9}}{\ln \left(2\right)+2 x -16}$&$17$\\ gosper&$-\frac{2 \left(5 \ln \left(2\right)-57\right)}{45 \left(\ln \left(2\right)+2 x -16\right)}$&$18$\\ default&$-\frac{20 \ln \left(2\right)-228}{90 \left(\ln \left(2\right)+2 x -16\right)}$&$18$\\ risch&$\frac{38}{15 \left(\ln \left(2\right)+2 x -16\right)}-\frac{2 \ln \left(2\right)}{9 \left(\ln \left(2\right)+2 x -16\right)}$&$26$\\ meijerg&$\frac{38 x}{15 \left(\frac{\ln \left(2\right)}{2}-8\right) \left(-\ln \left(2\right)+16\right) \left(1-\frac{2 x}{-\ln \left(2\right)+16}\right)}-\frac{2 \ln \left(2\right) x}{9 \left(\frac{\ln \left(2\right)}{2}-8\right) \left(-\ln \left(2\right)+16\right) \left(1-\frac{2 x}{-\ln \left(2\right)+16}\right)}$&$72$\\ \hline \end{longtable}"," ",0,"(38/15-2/9*ln(2))/(ln(2)+2*x-16)","A"
5007,1,34,24,0.194000," ","int((-2*exp(x)*exp(exp(x))*ln(-exp(exp(x))+3+ln(3))+(-4*exp(x)+2*x-1)*exp(exp(x))+(1-2*x)*ln(3)-6*x+3)/(exp(exp(x))-ln(3)-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-x -\ln \left(-{\mathrm e}^{{\mathrm e}^{x}}+3+\ln \left(3\right)\right)^{2}-4 \ln \left(-{\mathrm e}^{{\mathrm e}^{x}}+3+\ln \left(3\right)\right)$&$34$\\ norman&$x^{2}-x -\ln \left(-{\mathrm e}^{{\mathrm e}^{x}}+3+\ln \left(3\right)\right)^{2}-4 \ln \left(-{\mathrm e}^{{\mathrm e}^{x}}+3+\ln \left(3\right)\right)$&$34$\\ risch&$-\ln \left(-{\mathrm e}^{{\mathrm e}^{x}}+3+\ln \left(3\right)\right)^{2}+x^{2}-x -4 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-\ln \left(3\right)-3\right)$&$34$\\ \hline \end{longtable}"," ",0,"x^2-x-ln(-exp(exp(x))+3+ln(3))^2-4*ln(-exp(exp(x))+3+ln(3))","A"
5008,1,26,26,0.052000," ","int((2*x^2+2*x)*exp(x)^2+8*x^7*ln(2)^4-2*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +{\mathrm e}^{2 x} x^{2}-x^{2}+x^{8} \ln \left(2\right)^{4}$&$26$\\ norman&$-x +{\mathrm e}^{2 x} x^{2}-x^{2}+x^{8} \ln \left(2\right)^{4}$&$26$\\ risch&$-x +{\mathrm e}^{2 x} x^{2}-x^{2}+x^{8} \ln \left(2\right)^{4}$&$26$\\ \hline \end{longtable}"," ",0,"-x+exp(x)^2*x^2-x^2+x^8*ln(2)^4","A"
5009,1,16,18,0.025000," ","int(1/8*(8*exp(x^2)+2*x^2+10*x-1)/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(-x -5\right) {\mathrm e}^{-x^{2}}}{8}$&$16$\\ norman&$\left(-\frac{5}{8}+{\mathrm e}^{x^{2}} x -\frac{x}{8}\right) {\mathrm e}^{-x^{2}}$&$19$\\ default&$x -\frac{5 \,{\mathrm e}^{-x^{2}}}{8}-\frac{x \,{\mathrm e}^{-x^{2}}}{8}$&$20$\\ \hline \end{longtable}"," ",0,"x+1/8*(-x-5)*exp(-x^2)","A"
5010,1,10,14,0.018000," ","int(16*x/(16*x^4-72*x^2+81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{2 \left(x^{2}-\frac{9}{4}\right)}$&$10$\\ gosper&$-\frac{2}{4 x^{2}-9}$&$12$\\ default&$-\frac{2}{4 x^{2}-9}$&$12$\\ norman&$-\frac{2}{4 x^{2}-9}$&$12$\\ \hline \end{longtable}"," ",0,"-1/2/(x^2-9/4)","A"
5011,1,11,10,0.123000," ","int(((9-x)*ln(9-x)+x)/(x^3-9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(9-x \right)}{x}$&$11$\\ risch&$\frac{\ln \left(9-x \right)}{x}$&$11$\\ derivativedivides&$\frac{\ln \left(9-x \right)}{9}+\frac{\ln \left(9-x \right) \left(9-x \right)}{9 x}$&$26$\\ default&$\frac{\ln \left(9-x \right)}{9}+\frac{\ln \left(9-x \right) \left(9-x \right)}{9 x}$&$26$\\ \hline \end{longtable}"," ",0,"ln(9-x)/x","A"
5012,1,27,40,0.059000," ","int((((-400*x^3+400*x^2)*exp(25*x^2)-16*x+8)*exp(exp(25*x^2))-16*x)/((25*x^6-75*x^5+75*x^4-25*x^3)*exp(exp(25*x^2))^3+(75*x^6-150*x^5+150*x^3-75*x^2)*exp(exp(25*x^2))^2+(75*x^6-75*x^5-150*x^4+150*x^3+75*x^2-75*x)*exp(exp(25*x^2))+25*x^6-75*x^4+75*x^2-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{25 \left(x^{2}-2 x +1\right) \left(x +1+x \,{\mathrm e}^{{\mathrm e}^{25 x^{2}}}\right)^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"4/25/(x^2-2*x+1)/(x+1+x*exp(exp(25*x^2)))^2","A"
5013,1,13,11,0.030000," ","int(10*ln(2)-20*x-125/6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{5 x \left(-12 x +12 \ln \left(2\right)-25\right)}{6}$&$13$\\ default&$10 x \ln \left(2\right)-10 x^{2}-\frac{125 x}{6}$&$15$\\ norman&$\left(10 \ln \left(2\right)-\frac{125}{6}\right) x -10 x^{2}$&$15$\\ risch&$10 x \ln \left(2\right)-10 x^{2}-\frac{125 x}{6}$&$15$\\ \hline \end{longtable}"," ",0,"5/6*x*(-12*x+12*ln(2)-25)","A"
5014,1,13,15,0.102000," ","int((-4*exp(x)*x^2+12*x)*exp(ln(x)-9)/exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{3} {\mathrm e}^{-{\mathrm e}^{x}-9}$&$13$\\ norman&$4 \,{\mathrm e}^{-9} x^{3} {\mathrm e}^{-{\mathrm e}^{x}}$&$15$\\ \hline \end{longtable}"," ",0,"4*x^3*exp(-exp(x)-9)","A"
5015,1,84,26,1.625000," ","int(((-x-6)*ln(x)*ln((x+6)/x/ln(x))^3+(-9*x^2-39*x+90)*ln(x)*ln((x+6)/x/ln(x))^2+(-27*x^3-72*x^2+466*x-444)*ln(x)*ln((x+6)/x/ln(x))+(-27*x^4-27*x^3+582*x^2-1248*x+732)*ln(x)+2*x+12)/((x+6)*ln(x)*ln((x+6)/x/ln(x))^3+(9*x^2+39*x-90)*ln(x)*ln((x+6)/x/ln(x))^2+(27*x^3+72*x^2-465*x+450)*ln(x)*ln((x+6)/x/ln(x))+(27*x^4+27*x^3-585*x^2+1225*x-750)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-24 x +30 x^{2}+10 \ln \left(\frac{x +6}{x \ln \left(x \right)}\right) x -9 x^{3}-6 \ln \left(\frac{x +6}{x \ln \left(x \right)}\right) x^{2}-\ln \left(\frac{x +6}{x \ln \left(x \right)}\right)^{2} x}{\left(\ln \left(\frac{x +6}{x \ln \left(x \right)}\right)+3 x -5\right)^{2}}$&$84$\\ risch&$-x +\frac{4 x}{\left(2 \ln \left(x +6\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x +6\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x +6\right)}{x \ln \left(x \right)}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(x +6\right)\right) \mathrm{csgn}\left(\frac{i \left(x +6\right)}{\ln \left(x \right)}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(x +6\right)}{\ln \left(x \right)}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left(x +6\right)}{x \ln \left(x \right)}\right)^{3}-10-2 \ln \left(x \right)-2 \ln \left(\ln \left(x \right)\right)+6 x +i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x +6\right)}{x \ln \left(x \right)}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x +6\right)}{\ln \left(x \right)}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(x +6\right)\right) \mathrm{csgn}\left(\frac{i \left(x +6\right)}{\ln \left(x \right)}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i \left(x +6\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x +6\right)}{x \ln \left(x \right)}\right)^{2}\right)^{2}}$&$240$\\ \hline \end{longtable}"," ",0,"(-24*x+30*x^2+10*ln((x+6)/x/ln(x))*x-9*x^3-6*ln((x+6)/x/ln(x))*x^2-ln((x+6)/x/ln(x))^2*x)/(ln((x+6)/x/ln(x))+3*x-5)^2","B"
5016,1,50,28,0.119000," ","int((((-20*exp(2)*x-20*x)*exp(4)-60*exp(2)*x-60*x)*ln(x^2)^2+((20*exp(2)*x+20*x)*exp(4)+100*x^3*exp(2)^2+(200*x^3+60*x)*exp(2)+100*x^3+60*x)*ln(x^2)-100*x^3*exp(2)^2-200*x^3*exp(2)-100*x^3)/(exp(4)^2+6*exp(4)+9)/ln(x^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-10 \,{\mathrm e}^{2}-10\right) x^{2} \ln \left(x^{2}\right)+\frac{25 \left(2 \,{\mathrm e}^{2}+{\mathrm e}^{4}+1\right) x^{4}}{{\mathrm e}^{4}+3}}{\left({\mathrm e}^{4}+3\right) \ln \left(x^{2}\right)^{2}}$&$50$\\ risch&$-\frac{5 x^{2} \left(2 \,{\mathrm e}^{6} \ln \left(x^{2}\right)-5 x^{2} {\mathrm e}^{4}+2 \,{\mathrm e}^{4} \ln \left(x^{2}\right)-10 x^{2} {\mathrm e}^{2}+6 \,{\mathrm e}^{2} \ln \left(x^{2}\right)-5 x^{2}+6 \ln \left(x^{2}\right)\right)}{\left({\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9\right) \ln \left(x^{2}\right)^{2}}$&$72$\\ default&$\frac{-\frac{30 x^{2}}{\ln \left(x^{2}\right)}+\frac{25 x^{4}}{\ln \left(x^{2}\right)^{2}}+\frac{25 \,{\mathrm e}^{4} x^{4}}{\ln \left(x^{2}\right)^{2}}+\frac{50 \,{\mathrm e}^{2} x^{4}}{\ln \left(x^{2}\right)^{2}}-\frac{10 \,{\mathrm e}^{6} x^{2}}{\ln \left(x^{2}\right)}-\frac{30 \,{\mathrm e}^{2} x^{2}}{\ln \left(x^{2}\right)}-\frac{10 \,{\mathrm e}^{4} x^{2}}{\ln \left(x^{2}\right)}}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}$&$102$\\ \hline \end{longtable}"," ",0,"((-10*exp(2)-10)*x^2*ln(x^2)+25*(exp(2)^2+2*exp(2)+1)/(exp(4)+3)*x^4)/(exp(4)+3)/ln(x^2)^2","A"
5017,1,27,24,0.350000," ","int(((3*(-2*x-6)*ln(2)-exp(5)+x^2+10*x+24)*exp((-exp(5)-x^2-6*x-6)/(15*ln(2)-5*x-25))+45*ln(2)^2+3*(-10*x-50)*ln(2)+5*x^2+50*x+125)/(45*ln(2)^2+3*(-10*x-50)*ln(2)+5*x^2+50*x+125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-\frac{x^{2}+{\mathrm e}^{5}+6 x +6}{5 \left(3 \ln \left(2\right)-x -5\right)}}$&$27$\\ norman&$\frac{\left(3 \ln \left(2\right)-5\right) {\mathrm e}^{\frac{-{\mathrm e}^{5}-x^{2}-6 x -6}{15 \ln \left(2\right)-5 x -25}}-x^{2}-x \,{\mathrm e}^{\frac{-{\mathrm e}^{5}-x^{2}-6 x -6}{15 \ln \left(2\right)-5 x -25}}+9 \ln \left(2\right)^{2}-30 \ln \left(2\right)+25}{3 \ln \left(2\right)-x -5}$&$94$\\ \hline \end{longtable}"," ",0,"x+exp(-1/5*(x^2+exp(5)+6*x+6)/(3*ln(2)-x-5))","A"
5018,1,12,15,0.033000," ","int((2*x*exp(exp(x))-exp(1)*exp(x))/exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+{\mathrm e}^{1-{\mathrm e}^{x}}$&$12$\\ default&$x^{2}+{\mathrm e} \,{\mathrm e}^{-{\mathrm e}^{x}}$&$13$\\ norman&$\left({\mathrm e}^{{\mathrm e}^{x}} x^{2}+{\mathrm e}\right) {\mathrm e}^{-{\mathrm e}^{x}}$&$17$\\ \hline \end{longtable}"," ",0,"x^2+exp(1-exp(x))","A"
5019,1,14,17,0.044000," ","int((4*exp(x)^2-4*x)*exp(exp(x)^2-x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{2 \,{\mathrm e}^{2 x}-2 x^{2}}$&$14$\\ risch&${\mathrm e}^{2 \,{\mathrm e}^{2 x}-2 x^{2}}$&$14$\\ \hline \end{longtable}"," ",0,"exp(exp(x)^2-x^2)^2","A"
5020,1,24,20,0.319000," ","int(((-9*x^2-45*x-54)*exp(x)+72*x+216)/(2*ln(5)^4*exp(x)^3+(-6*x+30)*ln(5)^4*exp(x)^2+(6*x^2-60*x+150)*ln(5)^4*exp(x)+(-2*x^3+30*x^2-150*x+250)*ln(5)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\frac{9}{4} x^{2}+\frac{27}{2} x +\frac{81}{4}}{\ln \left(5\right)^{4} \left(-{\mathrm e}^{x}+x -5\right)^{2}}$&$24$\\ norman&$\frac{\frac{36 x}{\ln \left(5\right)}-\frac{9 \,{\mathrm e}^{2 x}}{4 \ln \left(5\right)}-\frac{45 \,{\mathrm e}^{x}}{2 \ln \left(5\right)}+\frac{9 \,{\mathrm e}^{x} x}{2 \ln \left(5\right)}-\frac{36}{\ln \left(5\right)}}{\ln \left(5\right)^{3} \left(-{\mathrm e}^{x}+x -5\right)^{2}}$&$56$\\ \hline \end{longtable}"," ",0,"9/4*(x^2+6*x+9)/ln(5)^4/(-exp(x)+x-5)^2","A"
5021,1,14,21,0.037000," ","int(25*exp(x)-25*ln(3)+25,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$25 \,{\mathrm e}^{x}+25 x -25 x \ln \left(3\right)$&$14$\\ norman&$\left(-25 \ln \left(3\right)+25\right) x +25 \,{\mathrm e}^{x}$&$14$\\ risch&$25 \,{\mathrm e}^{x}+25 x -25 x \ln \left(3\right)$&$14$\\ derivativedivides&$25 \,{\mathrm e}^{x}+25 \left(1-\ln \left(3\right)\right) \ln \left({\mathrm e}^{x}\right)$&$17$\\ \hline \end{longtable}"," ",0,"25*exp(x)+25*x-25*x*ln(3)","A"
5022,1,32,25,0.046000," ","int(((125*ln(x)-125)*ln(ln(x))+(-125*ln(3)-625)*ln(x)+125*ln(3)-5*x^2+500)/(625*ln(x)^2*ln(ln(x))^2+((-1250*ln(3)-6250)*ln(x)^2+(50*x^2+250*x)*ln(x))*ln(ln(x))+(625*ln(3)^2+6250*ln(3)+15625)*ln(x)^2+((-50*x^2-250*x)*ln(3)-250*x^2-1250*x)*ln(x)+x^4+10*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 x}{25 \ln \left(3\right) \ln \left(x \right)-x^{2}-25 \ln \left(x \right) \ln \left(\ln \left(x \right)\right)-5 x +125 \ln \left(x \right)}$&$32$\\ \hline \end{longtable}"," ",0,"-5*x/(25*ln(3)*ln(x)-x^2-25*ln(x)*ln(ln(x))-5*x+125*ln(x))","A"
5023,1,39,26,0.042000," ","int(((exp(x)*x^3-x^3)*exp(exp(2))*ln(x)^2+8*exp(exp(2))*ln(x)+(x^2+4)*exp(exp(2))-3*x^2)/x^3/exp(exp(2))/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{x}-\frac{{\mathrm e}^{-{\mathrm e}^{2}} \left(x^{2} {\mathrm e}^{{\mathrm e}^{2}}-3 x^{2}+4 \,{\mathrm e}^{{\mathrm e}^{2}}\right)}{x^{2} \ln \left(x \right)}$&$39$\\ default&${\mathrm e}^{-{\mathrm e}^{2}} \left({\mathrm e}^{{\mathrm e}^{2}} {\mathrm e}^{x}-\frac{{\mathrm e}^{{\mathrm e}^{2}}}{\ln \left(x \right)}+\frac{3}{\ln \left(x \right)}-\frac{4 \,{\mathrm e}^{{\mathrm e}^{2}}}{x^{2} \ln \left(x \right)}-x \,{\mathrm e}^{{\mathrm e}^{2}}\right)$&$47$\\ \hline \end{longtable}"," ",0,"-x+exp(x)-exp(-exp(2))/x^2*(x^2*exp(exp(2))-3*x^2+4*exp(exp(2)))/ln(x)","A"
5024,1,312,29,1.002000," ","int(((((-4*exp(x)^4-16*x*exp(x)^3-24*exp(x)^2*x^2-16*exp(x)*x^3-4*x^4)*exp(x*ln(x))+(-12*x*exp(x)^4-48*x^2*exp(x)^3-72*exp(x)^2*x^3-48*exp(x)*x^4-12*x^5)*ln(x)-12*x*exp(x)^4-48*x^2*exp(x)^3-72*exp(x)^2*x^3-48*exp(x)*x^4-12*x^5)*exp(3/exp(x*ln(x)))+(4*x^2*exp(x)^4+(12*x^3+4*x^2)*exp(x)^3+(12*x^4+12*x^3)*exp(x)^2+(4*x^5+12*x^4)*exp(x)+4*x^5)*exp(x*ln(x)))*exp(exp(3/exp(x*ln(x)))/x)^4+(((12*x*exp(x)^3+36*exp(x)^2*x^2+36*exp(x)*x^3+12*x^4)*exp(x*ln(x))+(36*x^2*exp(x)^3+108*exp(x)^2*x^3+108*exp(x)*x^4+36*x^5)*ln(x)+36*x^2*exp(x)^3+108*exp(x)^2*x^3+108*exp(x)*x^4+36*x^5)*exp(3/exp(x*ln(x)))+((-12*x^3-4*x^2)*exp(x)^3+(-24*x^4-24*x^3)*exp(x)^2+(-12*x^5-36*x^4)*exp(x)-16*x^5)*exp(x*ln(x)))*exp(exp(3/exp(x*ln(x)))/x)^3+(((-12*exp(x)^2*x^2-24*exp(x)*x^3-12*x^4)*exp(x*ln(x))+(-36*exp(x)^2*x^3-72*exp(x)*x^4-36*x^5)*ln(x)-36*exp(x)^2*x^3-72*exp(x)*x^4-36*x^5)*exp(3/exp(x*ln(x)))+((12*x^4+12*x^3)*exp(x)^2+(12*x^5+36*x^4)*exp(x)+24*x^5)*exp(x*ln(x)))*exp(exp(3/exp(x*ln(x)))/x)^2+(((4*exp(x)*x^3+4*x^4)*exp(x*ln(x))+(12*exp(x)*x^4+12*x^5)*ln(x)+12*exp(x)*x^4+12*x^5)*exp(3/exp(x*ln(x)))+((-4*x^5-12*x^4)*exp(x)-16*x^5)*exp(x*ln(x)))*exp(exp(3/exp(x*ln(x)))/x)+4*x^5*exp(x*ln(x)))*exp((exp(x)^4+4*x*exp(x)^3+6*exp(x)^2*x^2+4*exp(x)*x^3+x^4)*exp(exp(3/exp(x*ln(x)))/x)^4+(-4*x*exp(x)^3-12*exp(x)^2*x^2-12*exp(x)*x^3-4*x^4)*exp(exp(3/exp(x*ln(x)))/x)^3+(6*exp(x)^2*x^2+12*exp(x)*x^3+6*x^4)*exp(exp(3/exp(x*ln(x)))/x)^2+(-4*exp(x)*x^3-4*x^4)*exp(exp(3/exp(x*ln(x)))/x)+x^4-5)/x^2/exp(x*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{4 x^{3} {\mathrm e}^{\frac{x^{2}+4 \,{\mathrm e}^{3 x^{-x}}}{x}}-12 x^{3} {\mathrm e}^{\frac{x^{2}+3 \,{\mathrm e}^{3 x^{-x}}}{x}}+12 x^{3} {\mathrm e}^{\frac{x^{2}+2 \,{\mathrm e}^{3 x^{-x}}}{x}}-4 x^{3} {\mathrm e}^{\frac{x^{2}+{\mathrm e}^{3 x^{-x}}}{x}}+{\mathrm e}^{\frac{4 \,{\mathrm e}^{3 x^{-x}}}{x}} x^{4}-4 \,{\mathrm e}^{\frac{3 \,{\mathrm e}^{3 x^{-x}}}{x}} x^{4}+6 \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{3 x^{-x}}}{x}} x^{4}-4 \,{\mathrm e}^{\frac{{\mathrm e}^{3 x^{-x}}}{x}} x^{4}+6 x^{2} {\mathrm e}^{\frac{2 x^{2}+4 \,{\mathrm e}^{3 x^{-x}}}{x}}-12 x^{2} {\mathrm e}^{\frac{2 x^{2}+3 \,{\mathrm e}^{3 x^{-x}}}{x}}+6 x^{2} {\mathrm e}^{\frac{2 x^{2}+2 \,{\mathrm e}^{3 x^{-x}}}{x}}+x^{4}+4 x \,{\mathrm e}^{\frac{3 x^{2}+4 \,{\mathrm e}^{3 x^{-x}}}{x}}-4 x \,{\mathrm e}^{\frac{3 x^{2}+3 \,{\mathrm e}^{3 x^{-x}}}{x}}+{\mathrm e}^{\frac{4 x^{2}+4 \,{\mathrm e}^{3 x^{-x}}}{x}}-5}$&$312$\\ \hline \end{longtable}"," ",0,"exp(4*x^3*exp((x^2+4*exp(3/(x^x)))/x)-12*x^3*exp((x^2+3*exp(3/(x^x)))/x)+12*x^3*exp((x^2+2*exp(3/(x^x)))/x)-4*x^3*exp((x^2+exp(3/(x^x)))/x)+exp(4*exp(3/(x^x))/x)*x^4-4*exp(3*exp(3/(x^x))/x)*x^4+6*exp(2*exp(3/(x^x))/x)*x^4-4*exp(exp(3/(x^x))/x)*x^4+6*x^2*exp(2*(x^2+2*exp(3/(x^x)))/x)-12*x^2*exp((2*x^2+3*exp(3/(x^x)))/x)+6*x^2*exp(2*(x^2+exp(3/(x^x)))/x)+x^4+4*x*exp((3*x^2+4*exp(3/(x^x)))/x)-4*x*exp(3*(x^2+exp(3/(x^x)))/x)+exp(4*(x^2+exp(3/(x^x)))/x)-5)","B"
5025,1,30,24,0.229000," ","int((x*exp(x)^2+(1-x)*exp(x)-x^2+x)*exp((exp(x)*ln(4*x)-exp(x)*ln(x)+exp(x)^2+(-3-x)*exp(x)+x)/exp(x))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{\left(2 \,{\mathrm e}^{x} \ln \left(2\right)-{\mathrm e}^{x} x -3 \,{\mathrm e}^{x}+{\mathrm e}^{2 x}+x \right) {\mathrm e}^{-x}}$&$30$\\ \hline \end{longtable}"," ",0,"x*exp((2*exp(x)*ln(2)-exp(x)*x-3*exp(x)+exp(2*x)+x)*exp(-x))","A"
5026,1,30,26,0.236000," ","int((((4*x-8)*exp(5)*exp(x^2-4*x+4)-2*exp(5))*exp(exp(x^2-4*x+4)-x)+4*exp(5)^2)/(4*exp(exp(x^2-4*x+4)-x)^2+(16*x+44)*exp(5)*exp(exp(x^2-4*x+4)-x)+(16*x^2+88*x+121)*exp(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{5}}{4 x \,{\mathrm e}^{5}+11 \,{\mathrm e}^{5}+2 \,{\mathrm e}^{{\mathrm e}^{\left(x -2\right)^{2}}-x}}$&$30$\\ norman&$-\frac{{\mathrm e}^{5}}{4 x \,{\mathrm e}^{5}+11 \,{\mathrm e}^{5}+2 \,{\mathrm e}^{{\mathrm e}^{x^{2}-4 x +4}-x}}$&$33$\\ \hline \end{longtable}"," ",0,"-exp(5)/(4*x*exp(5)+11*exp(5)+2*exp(exp((x-2)^2)-x))","A"
5027,1,88,30,0.150000," ","int((((-x^3-3*x^2-2*x)*exp(x)*ln(x^2+3*x+2)+2*x^2+3*x)*exp(exp(x))+(-x^3-3*x^2-2*x)*ln(x^2+3*x+2)^2+(2*x^2+6*x+4)*ln(x^2+3*x+2)+(-2*x^2-3*x)*ln(x^2))/(x^3+3*x^2+2*x)/ln(x^2+3*x+2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{4 \ln \left(x \right)-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2 \ln \left(x^{2}+3 x +2\right)}-\frac{{\mathrm e}^{{\mathrm e}^{x}}}{\ln \left(x^{2}+3 x +2\right)}$&$88$\\ \hline \end{longtable}"," ",0,"-x+1/2*(4*ln(x)-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3)/ln(x^2+3*x+2)-1/ln(x^2+3*x+2)*exp(exp(x))","C"
5028,1,16,17,0.037000," ","int(((2*x-2)*ln(4*x)-1)/x/ln(4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -2 \ln \left(x \right)-\ln \left(\ln \left(4 x \right)\right)$&$16$\\ derivativedivides&$2 x -2 \ln \left(4 x \right)-\ln \left(\ln \left(4 x \right)\right)$&$18$\\ default&$2 x -2 \ln \left(4 x \right)-\ln \left(\ln \left(4 x \right)\right)$&$18$\\ norman&$2 x -2 \ln \left(4 x \right)-\ln \left(\ln \left(4 x \right)\right)$&$18$\\ \hline \end{longtable}"," ",0,"2*x-2*ln(x)-ln(ln(4*x))","A"
5029,1,6,17,0.016000," ","int(-288/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-288 x \,{\mathrm e}^{-5}$&$6$\\ default&$-288 x \,{\mathrm e}^{-5}$&$8$\\ norman&$-288 x \,{\mathrm e}^{-5}$&$8$\\ \hline \end{longtable}"," ",0,"-288*x*exp(-5)","A"
5030,1,24,24,0.149000," ","int(((8*x^4-28*x^3+32*x^2-12*x)*exp(5)^2*exp(x^2-3*x)+(4*x^3+4*x^2-12*x+4)*exp(5)^2)*exp(exp(x^2-3*x)+2+x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \left(x^{2}-2 x +1\right) {\mathrm e}^{12+x +{\mathrm e}^{x \left(x -3\right)}}+x$&$24$\\ default&$x +4 \,{\mathrm e}^{10} {\mathrm e}^{{\mathrm e}^{x^{2}-3 x}+2+x} x -8 \,{\mathrm e}^{10} {\mathrm e}^{{\mathrm e}^{x^{2}-3 x}+2+x} x^{2}+4 \,{\mathrm e}^{10} {\mathrm e}^{{\mathrm e}^{x^{2}-3 x}+2+x} x^{3}$&$64$\\ norman&$x +4 \,{\mathrm e}^{10} {\mathrm e}^{{\mathrm e}^{x^{2}-3 x}+2+x} x -8 \,{\mathrm e}^{10} {\mathrm e}^{{\mathrm e}^{x^{2}-3 x}+2+x} x^{2}+4 \,{\mathrm e}^{10} {\mathrm e}^{{\mathrm e}^{x^{2}-3 x}+2+x} x^{3}$&$64$\\ \hline \end{longtable}"," ",0,"4*x*(x^2-2*x+1)*exp(12+x+exp(x*(x-3)))+x","A"
5031,1,22,20,0.041000," ","int(1/3*((2*x-1)*exp(x)^2+exp(1)+4*x^2-13)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{4 x^{2}}{3}+\frac{{\mathrm e}^{2 x}}{3}-\frac{{\mathrm e}}{3}+\frac{13}{3}}{x}$&$22$\\ default&$\frac{4 x}{3}-\frac{{\mathrm e}}{3 x}+\frac{13}{3 x}+\frac{{\mathrm e}^{2 x}}{3 x}$&$26$\\ risch&$\frac{4 x}{3}-\frac{{\mathrm e}}{3 x}+\frac{13}{3 x}+\frac{{\mathrm e}^{2 x}}{3 x}$&$26$\\ \hline \end{longtable}"," ",0,"(4/3*x^2+1/3*exp(x)^2-1/3*exp(1)+13/3)/x","A"
5032,1,182,31,0.213000," ","int(((-2*x^3-16*x^2-32*x)*ln(4*exp((3*x+14)/(4+x))/x)+x^6+8*x^5+16*x^4+9*x^3+70*x^2+144*x)/((x^2+8*x+16)*ln(4*exp((3*x+14)/(4+x))/x)^2+(2*x^5+16*x^4+32*x^3-10*x^2-80*x-160)*ln(4*exp((3*x+14)/(4+x))/x)+x^8+8*x^7+16*x^6-10*x^5-80*x^4-160*x^3+25*x^2+200*x+400),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x^{2}}{-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{3 x +14}{4+x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{3 x +14}{4+x}}}{x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{3 x +14}{4+x}}}{x}\right)^{2}-10+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{3 x +14}{4+x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{3 x +14}{4+x}}}{x}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{3 x +14}{4+x}}}{x}\right)^{3}+2 x^{3}+4 \ln \left(2\right)-2 \ln \left(x \right)+2 \ln \left({\mathrm e}^{\frac{3 x +14}{4+x}}\right)}$&$182$\\ \hline \end{longtable}"," ",0,"-2*x^2/(-I*Pi*csgn(I/x)*csgn(I*exp((3*x+14)/(4+x)))*csgn(I/x*exp((3*x+14)/(4+x)))+I*Pi*csgn(I/x)*csgn(I/x*exp((3*x+14)/(4+x)))^2-10+I*Pi*csgn(I*exp((3*x+14)/(4+x)))*csgn(I/x*exp((3*x+14)/(4+x)))^2-I*Pi*csgn(I/x*exp((3*x+14)/(4+x)))^3+2*x^3+4*ln(2)-2*ln(x)+2*ln(exp((3*x+14)/(4+x))))","C"
5033,0,0,25,0.066000," ","int(((24*x^6+120*x^5+84*x^4-60*x^3-48*x^2)*ln(x^3+5*x^2+4*x)+4*x^7+20*x^6+14*x^5-10*x^4-7*x^3+23*x^2+64*x+24)*exp(ln(6*ln(x^3+5*x^2+4*x)+x)+x^4-x^2)/((6*x^3+30*x^2+24*x)*ln(x^3+5*x^2+4*x)+x^4+5*x^3+4*x^2),x)","\[\int \frac{\left(\left(24 x^{6}+120 x^{5}+84 x^{4}-60 x^{3}-48 x^{2}\right) \ln \left(x^{3}+5 x^{2}+4 x \right)+4 x^{7}+20 x^{6}+14 x^{5}-10 x^{4}-7 x^{3}+23 x^{2}+64 x +24\right) {\mathrm e}^{\ln \left(6 \ln \left(x^{3}+5 x^{2}+4 x \right)+x \right)+x^{4}-x^{2}}}{\left(6 x^{3}+30 x^{2}+24 x \right) \ln \left(x^{3}+5 x^{2}+4 x \right)+x^{4}+5 x^{3}+4 x^{2}}\, dx\]"," ",0,"int(((24*x^6+120*x^5+84*x^4-60*x^3-48*x^2)*ln(x^3+5*x^2+4*x)+4*x^7+20*x^6+14*x^5-10*x^4-7*x^3+23*x^2+64*x+24)*exp(ln(6*ln(x^3+5*x^2+4*x)+x)+x^4-x^2)/((6*x^3+30*x^2+24*x)*ln(x^3+5*x^2+4*x)+x^4+5*x^3+4*x^2),x)","F"
5034,1,23,22,0.156000," ","int(((2*x^3-5*x^2+4*x-1)*exp(x+1)^2+9*x^2-6*x+3)/(x^6-2*x^5+3*x^4-2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{2 x +2}-3}{x \left(x^{2}-x +1\right)}$&$23$\\ risch&$-\frac{3}{x \left(x^{2}-x +1\right)}+\frac{{\mathrm e}^{2 x +2}}{x \left(x^{2}-x +1\right)}$&$37$\\ derivativedivides&$-\frac{18 \left(\frac{x}{3}-\frac{2}{3}\right)}{\left(x +1\right)^{2}-3 x}-\frac{3}{x}-\frac{24}{\left(x +1\right)^{2}-3 x}+\frac{9 x +9}{\left(x +1\right)^{2}-3 x}+\frac{4 \,{\mathrm e}^{2 x +2} \left(4 \left(x +1\right)^{2}-13 x -1\right)}{\left(x +1\right)^{3}-4 \left(x +1\right)^{2}+6 x +3}-\frac{20 \,{\mathrm e}^{2 x +2} \left(\left(x +1\right)^{2}-4 x \right)}{\left(x +1\right)^{3}-4 \left(x +1\right)^{2}+6 x +3}-\frac{11 \,{\mathrm e}^{2 x +2} \left(2 x -1\right)}{\left(x +1\right)^{3}-4 \left(x +1\right)^{2}+6 x +3}+\frac{2 \,{\mathrm e}^{2 x +2} \left(x +1\right) \left(2 x -1\right)}{\left(x +1\right)^{3}-4 \left(x +1\right)^{2}+6 x +3}$&$196$\\ default&$-\frac{18 \left(\frac{x}{3}-\frac{2}{3}\right)}{\left(x +1\right)^{2}-3 x}-\frac{3}{x}-\frac{24}{\left(x +1\right)^{2}-3 x}+\frac{9 x +9}{\left(x +1\right)^{2}-3 x}+\frac{4 \,{\mathrm e}^{2 x +2} \left(4 \left(x +1\right)^{2}-13 x -1\right)}{\left(x +1\right)^{3}-4 \left(x +1\right)^{2}+6 x +3}-\frac{20 \,{\mathrm e}^{2 x +2} \left(\left(x +1\right)^{2}-4 x \right)}{\left(x +1\right)^{3}-4 \left(x +1\right)^{2}+6 x +3}-\frac{11 \,{\mathrm e}^{2 x +2} \left(2 x -1\right)}{\left(x +1\right)^{3}-4 \left(x +1\right)^{2}+6 x +3}+\frac{2 \,{\mathrm e}^{2 x +2} \left(x +1\right) \left(2 x -1\right)}{\left(x +1\right)^{3}-4 \left(x +1\right)^{2}+6 x +3}$&$196$\\ \hline \end{longtable}"," ",0,"1/x/(x^2-x+1)*(exp(x+1)^2-3)","A"
5035,1,22,21,0.126000," ","int(15/(10*ln(10+exp(1))+3*x-3)/ln(-9/(10*ln(10+exp(1))+3*x-3))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{5}{\ln \left(-\frac{9}{10 \ln \left(10+{\mathrm e}\right)+3 x -3}\right)}$&$22$\\ default&$\frac{5}{\ln \left(-\frac{9}{10 \ln \left(10+{\mathrm e}\right)+3 x -3}\right)}$&$22$\\ norman&$\frac{5}{\ln \left(-\frac{9}{10 \ln \left(10+{\mathrm e}\right)+3 x -3}\right)}$&$22$\\ risch&$\frac{5}{\ln \left(-\frac{9}{10 \ln \left(10+{\mathrm e}\right)+3 x -3}\right)}$&$22$\\ \hline \end{longtable}"," ",0,"5/ln(-9/(10*ln(10+exp(1))+3*x-3))","A"
5036,1,22,27,0.144000," ","int(((4*x+8)*exp(4)-8*x^3-12*x^2)/(x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x -4 x^{2}-8 \ln \left(2+x \right)+4 \,{\mathrm e}^{4} \ln \left(x \right)$&$22$\\ norman&$4 x -4 x^{2}-8 \ln \left(2+x \right)+4 \,{\mathrm e}^{4} \ln \left(x \right)$&$22$\\ risch&$-4 x^{2}+4 x +4 \,{\mathrm e}^{4} \ln \left(-x \right)-8 \ln \left(2+x \right)$&$24$\\ meijerg&$4 \,{\mathrm e}^{4} \ln \left(1+\frac{x}{2}\right)+4 \,{\mathrm e}^{4} \left(-\ln \left(1+\frac{x}{2}\right)+\ln \left(x \right)-\ln \left(2\right)\right)+\frac{8 x \left(-\frac{3 x}{2}+6\right)}{3}-8 \ln \left(1+\frac{x}{2}\right)-12 x$&$50$\\ \hline \end{longtable}"," ",0,"4*x-4*x^2-8*ln(2+x)+4*exp(4)*ln(x)","A"
5037,1,38,23,0.053000," ","int((exp(4)^2-2*exp(4)+16384*x^3*exp(2)^2-16384*x^3*exp(2)+4096*x^3+1)/(exp(4)^2-2*exp(4)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left({\mathrm e}^{4}-1\right) x +\frac{1024 \left(4 \,{\mathrm e}^{4}-4 \,{\mathrm e}^{2}+1\right) x^{4}}{{\mathrm e}^{4}-1}}{{\mathrm e}^{4}-1}$&$38$\\ gosper&$\frac{x \left(4096 x^{3} {\mathrm e}^{4}-4096 x^{3} {\mathrm e}^{2}+1024 x^{3}+{\mathrm e}^{8}-2 \,{\mathrm e}^{4}+1\right)}{{\mathrm e}^{8}-2 \,{\mathrm e}^{4}+1}$&$46$\\ default&$\frac{x \,{\mathrm e}^{8}-2 x \,{\mathrm e}^{4}+4096 x^{4} {\mathrm e}^{4}-4096 x^{4} {\mathrm e}^{2}+1024 x^{4}+x}{{\mathrm e}^{8}-2 \,{\mathrm e}^{4}+1}$&$48$\\ risch&$\frac{4096 x^{4} {\mathrm e}^{4}}{{\mathrm e}^{8}-2 \,{\mathrm e}^{4}+1}+\frac{x \,{\mathrm e}^{8}}{{\mathrm e}^{8}-2 \,{\mathrm e}^{4}+1}-\frac{4096 x^{4} {\mathrm e}^{2}}{{\mathrm e}^{8}-2 \,{\mathrm e}^{4}+1}+\frac{1024 x^{4}}{{\mathrm e}^{8}-2 \,{\mathrm e}^{4}+1}-\frac{2 x \,{\mathrm e}^{4}}{{\mathrm e}^{8}-2 \,{\mathrm e}^{4}+1}+\frac{x}{{\mathrm e}^{8}-2 \,{\mathrm e}^{4}+1}$&$92$\\ \hline \end{longtable}"," ",0,"((exp(4)-1)*x+1024*(4*exp(2)^2-4*exp(2)+1)/(exp(4)-1)*x^4)/(exp(4)-1)","A"
5038,1,39,32,0.030000," ","int((-96*x^8+320*x^7-1408*x^6+2496*x^5-4590*x^4+3278*x^3-3904*x+7442)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-16 x^{6}+64 x^{5}-352 x^{4}+832 x^{3}-2295 x^{2}+3278 x +\frac{3904 x -3721}{x^{2}}$&$39$\\ default&$-16 x^{6}+64 x^{5}-352 x^{4}+832 x^{3}-2295 x^{2}+3278 x +\frac{3904}{x}-\frac{3721}{x^{2}}$&$40$\\ norman&$\frac{-16 x^{8}+64 x^{7}-352 x^{6}+832 x^{5}-2295 x^{4}+3278 x^{3}+3904 x -3721}{x^{2}}$&$40$\\ gosper&$-\frac{16 x^{8}-64 x^{7}+352 x^{6}-832 x^{5}+2295 x^{4}-3278 x^{3}-3904 x +3721}{x^{2}}$&$41$\\ \hline \end{longtable}"," ",0,"-16*x^6+64*x^5-352*x^4+832*x^3-2295*x^2+3278*x+(3904*x-3721)/x^2","A"
5039,1,18,26,0.031000," ","int((4*exp(x)+4*x^2-8*x)/(exp(x)*x-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-4 x +4 \ln \left(x \right)+4 \ln \left(x -{\mathrm e}^{x}\right)$&$18$\\ risch&$4 \ln \left(x \right)-4 x +4 \ln \left({\mathrm e}^{x}-x \right)$&$18$\\ \hline \end{longtable}"," ",0,"-4*x+4*ln(x)+4*ln(x-exp(x))","A"
5040,1,18,18,0.033000," ","int(1/12*(-3*x^3*ln(1/2*x^3)^2-4*ln(1/2*x^3)-6)/x^3/ln(1/2*x^3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{4}+\frac{1}{6 \ln \left(\frac{x^{3}}{2}\right) x^{2}}$&$18$\\ norman&$\frac{\frac{1}{6}-\frac{x^{3} \ln \left(\frac{x^{3}}{2}\right)}{4}}{x^{2} \ln \left(\frac{x^{3}}{2}\right)}$&$26$\\ \hline \end{longtable}"," ",0,"-1/4*x+1/6/ln(1/2*x^3)/x^2","A"
5041,1,22,24,0.088000," ","int(1/4*((4*x*ln(x^2)-8*x^2+8*x+4)*exp(x*ln(x^2)-x^2)+27*x^2*exp(5)^2)/exp(5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \left(x^{2}\right)^{x} {\mathrm e}^{-x^{2}-10}+\frac{9 x^{3}}{4}$&$22$\\ default&$\frac{{\mathrm e}^{-10} \left(4 \,{\mathrm e}^{x \ln \left(x^{2}\right)-x^{2}} x +9 x^{3} {\mathrm e}^{10}\right)}{4}$&$33$\\ norman&$\left(x \,{\mathrm e}^{-5} {\mathrm e}^{x \ln \left(x^{2}\right)-x^{2}}+\frac{9 x^{3} {\mathrm e}^{5}}{4}\right) {\mathrm e}^{-5}$&$33$\\ \hline \end{longtable}"," ",0,"x*(x^2)^x*exp(-x^2-10)+9/4*x^3","A"
5042,1,14,18,0.181000," ","int(-84*exp(2)/(80*exp(1)^2+(40*x+1440)*exp(1)+5*x^2+360*x+6480),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{84 \,{\mathrm e}^{2}}{5 \left(4 \,{\mathrm e}+x +36\right)}$&$14$\\ norman&$\frac{84 \,{\mathrm e}^{2}}{5 \left(4 \,{\mathrm e}+x +36\right)}$&$14$\\ risch&$\frac{21 \,{\mathrm e}^{2}}{5 \left({\mathrm e}+\frac{x}{4}+9\right)}$&$14$\\ meijerg&$-\frac{21 \,{\mathrm e}^{2} x}{5 \left(4 \,{\mathrm e}+36\right) \left({\mathrm e}+9\right) \left(1+\frac{x}{4 \,{\mathrm e}+36}\right)}$&$33$\\ \hline \end{longtable}"," ",0,"84/5*exp(2)/(4*exp(1)+x+36)","A"
5043,1,40,29,0.080000," ","int((((2*x^4-20*x^3+50*x^2+10*x-50)*exp(x^2)-x^3)*exp(((x^2-10*x+25)*exp(x^2)-x^3)/x^2)+2*x^4+4*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+4 x +{\mathrm e}^{-\frac{-x^{2} {\mathrm e}^{x^{2}}+x^{3}+10 \,{\mathrm e}^{x^{2}} x -25 \,{\mathrm e}^{x^{2}}}{x^{2}}}$&$40$\\ norman&$\frac{x^{4}+x^{2} {\mathrm e}^{\frac{\left(x^{2}-10 x +25\right) {\mathrm e}^{x^{2}}-x^{3}}{x^{2}}}+4 x^{3}}{x^{2}}$&$42$\\ \hline \end{longtable}"," ",0,"x^2+4*x+exp(-(-x^2*exp(x^2)+x^3+10*exp(x^2)*x-25*exp(x^2))/x^2)","A"
5044,0,0,23,0.025000," ","int((((6*x*ln(16/5)-6*x^3)*ln((-ln(16/5)+x^2)/x)-2*x^2*ln(16/5)+2*x^4)*ln(-ln((-ln(16/5)+x^2)/x)+1/3*x)+(x^2+3*x)*ln(16/5)-x^4+3*x^3)/((3*ln(16/5)-3*x^2)*ln((-ln(16/5)+x^2)/x)-x*ln(16/5)+x^3)/ln(-ln((-ln(16/5)+x^2)/x)+1/3*x)^2,x)","\[\int \frac{\left(\left(6 x \ln \left(\frac{16}{5}\right)-6 x^{3}\right) \ln \left(\frac{-\ln \left(\frac{16}{5}\right)+x^{2}}{x}\right)-2 x^{2} \ln \left(\frac{16}{5}\right)+2 x^{4}\right) \ln \left(-\ln \left(\frac{-\ln \left(\frac{16}{5}\right)+x^{2}}{x}\right)+\frac{x}{3}\right)+\left(x^{2}+3 x \right) \ln \left(\frac{16}{5}\right)-x^{4}+3 x^{3}}{\left(\left(3 \ln \left(\frac{16}{5}\right)-3 x^{2}\right) \ln \left(\frac{-\ln \left(\frac{16}{5}\right)+x^{2}}{x}\right)-x \ln \left(\frac{16}{5}\right)+x^{3}\right) \ln \left(-\ln \left(\frac{-\ln \left(\frac{16}{5}\right)+x^{2}}{x}\right)+\frac{x}{3}\right)^{2}}\, dx\]"," ",0,"int((((6*x*ln(16/5)-6*x^3)*ln((-ln(16/5)+x^2)/x)-2*x^2*ln(16/5)+2*x^4)*ln(-ln((-ln(16/5)+x^2)/x)+1/3*x)+(x^2+3*x)*ln(16/5)-x^4+3*x^3)/((3*ln(16/5)-3*x^2)*ln((-ln(16/5)+x^2)/x)-x*ln(16/5)+x^3)/ln(-ln((-ln(16/5)+x^2)/x)+1/3*x)^2,x)","F"
5045,1,18,17,0.273000," ","int((40*x-34)/(7*ln(3)+10*x^2-17*x-35),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(7 \ln \left(3\right)+10 x^{2}-17 x -35\right)$&$18$\\ norman&$2 \ln \left(7 \ln \left(3\right)+10 x^{2}-17 x -35\right)$&$18$\\ risch&$2 \ln \left(7 \ln \left(3\right)+10 x^{2}-17 x -35\right)$&$18$\\ \hline \end{longtable}"," ",0,"2*ln(7*ln(3)+10*x^2-17*x-35)","A"
5046,1,13,12,0.016000," ","int(20*ln(4*exp(5))/exp(10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$20 \,{\mathrm e}^{-10} x \ln \left(4 \,{\mathrm e}^{5}\right)$&$13$\\ norman&$20 \left(2 \ln \left(2\right)+5\right) {\mathrm e}^{-10} x$&$14$\\ risch&$40 \,{\mathrm e}^{-10} x \ln \left(2\right)+100 \,{\mathrm e}^{-10} x$&$14$\\ \hline \end{longtable}"," ",0,"20/exp(10)*x*ln(4*exp(5))","A"
5047,1,27,26,4.560000," ","int((((4*x-4)*exp(2)-6*x^2+6*x+2)*ln(3)+10*exp(2)-20*x+15)/(((20*x^4-80*x^3+80*x^2)*exp(2)^2+(-40*x^5+140*x^4-80*x^3-80*x^2)*exp(2)+20*x^6-60*x^5+5*x^4+60*x^3+20*x^2)*ln(3)^2+((200*x^3-800*x^2+800*x)*exp(2)^2+(-400*x^4+1400*x^3-800*x^2-800*x)*exp(2)+200*x^5-600*x^4+50*x^3+600*x^2+200*x)*ln(3)+(500*x^2-2000*x+2000)*exp(2)^2+(-1000*x^3+3500*x^2-2000*x-2000)*exp(2)+500*x^4-1500*x^3+125*x^2+1500*x+500),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{1}{5 \left(x -2\right) \left(2 \,{\mathrm e}^{2}-2 x -1\right) \left(x \ln \left(3\right)+5\right)}$&$27$\\ risch&$-\frac{1}{10 \left(x^{2} {\mathrm e}^{2} \ln \left(3\right)-x^{3} \ln \left(3\right)-2 x \,{\mathrm e}^{2} \ln \left(3\right)+\frac{3 x^{2} \ln \left(3\right)}{2}+x \ln \left(3\right)+5 \,{\mathrm e}^{2} x -5 x^{2}-10 \,{\mathrm e}^{2}+\frac{15 x}{2}+5\right)}$&$57$\\ gosper&$-\frac{1}{5 \left(2 x^{2} {\mathrm e}^{2} \ln \left(3\right)-2 x^{3} \ln \left(3\right)-4 x \,{\mathrm e}^{2} \ln \left(3\right)+3 x^{2} \ln \left(3\right)+10 \,{\mathrm e}^{2} x +2 x \ln \left(3\right)-10 x^{2}-20 \,{\mathrm e}^{2}+15 x +10\right)}$&$59$\\ \hline \end{longtable}"," ",0,"-1/5/(x-2)/(2*exp(2)-2*x-1)/(x*ln(3)+5)","A"
5048,1,18,17,0.057000," ","int((-12*exp(x^2)*x-6*x^2+36*x-3)/(exp(x^2)^3+(2*x-12)*exp(x^2)^2+(x^2-12*x+36)*exp(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 \,{\mathrm e}^{-x^{2}}}{{\mathrm e}^{x^{2}}+x -6}$&$18$\\ risch&$\frac{3 \,{\mathrm e}^{-x^{2}}}{x -6}-\frac{3}{\left(x -6\right) \left({\mathrm e}^{x^{2}}+x -6\right)}$&$31$\\ \hline \end{longtable}"," ",0,"3/(exp(x^2)+x-6)/exp(x^2)","A"
5049,1,15,14,0.025000," ","int(1/5*(90*x+5)*exp(3)+1/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(45 x \,{\mathrm e}^{3}+5 \,{\mathrm e}^{3}+1\right)}{5}$&$15$\\ norman&$\left({\mathrm e}^{3}+\frac{1}{5}\right) x +9 x^{2} {\mathrm e}^{3}$&$15$\\ risch&$9 x^{2} {\mathrm e}^{3}+x \,{\mathrm e}^{3}+\frac{x}{5}$&$16$\\ default&$\frac{{\mathrm e}^{3} \left(45 x^{2}+5 x \right)}{5}+\frac{x}{5}$&$18$\\ \hline \end{longtable}"," ",0,"1/5*x*(45*x*exp(3)+5*exp(3)+1)","A"
5050,1,33,28,0.162000," ","int(((-21*x+150)*ln(1/2*(-7*x+50)/x)-50*x+150)/((7*x^3-92*x^2+363*x-450)*ln(1/2*(-7*x+50)/x)^2+(14*x^3-142*x^2+300*x)*ln(1/2*(-7*x+50)/x)+7*x^3-50*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{\ln \left(\frac{-7 x +50}{2 x}\right) x +x -3 \ln \left(\frac{-7 x +50}{2 x}\right)}$&$33$\\ risch&$\frac{x}{\ln \left(\frac{-7 x +50}{2 x}\right) x +x -3 \ln \left(\frac{-7 x +50}{2 x}\right)}$&$33$\\ \hline \end{longtable}"," ",0,"x/(ln(1/2*(-7*x+50)/x)*x+x-3*ln(1/2*(-7*x+50)/x))","A"
5051,1,64,26,0.706000," ","int(((x*exp(3)-4*x)*(ln(10)+I*Pi)*ln(5/x^2)^2+(x*exp(3)-4*x)*(ln(10)+I*Pi)*exp(x)*ln(5/x^2)+(2*exp(3)-8)*(ln(10)+I*Pi)*exp(x))/(x^2*ln(5/x^2)^2+x*exp(x)*ln(5/x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-i \pi  \,{\mathrm e}^{3}+4 i \pi -{\mathrm e}^{3} \ln \left(10\right)+4 \ln \left(10\right)\right) \ln \left(\ln \left(\frac{5}{x^{2}}\right)\right)+\left(i \pi  \,{\mathrm e}^{3}-4 i \pi +{\mathrm e}^{3} \ln \left(10\right)-4 \ln \left(10\right)\right) \ln \left(x \ln \left(\frac{5}{x^{2}}\right)+{\mathrm e}^{x}\right)$&$64$\\ default&$-i \pi  \ln \left(-\ln \left(\frac{5}{x^{2}}\right)\right) {\mathrm e}^{3}+4 i \pi  \ln \left(-\ln \left(\frac{5}{x^{2}}\right)\right)-\ln \left(-\ln \left(\frac{5}{x^{2}}\right)\right) {\mathrm e}^{3} \ln \left(10\right)+4 \ln \left(-\ln \left(\frac{5}{x^{2}}\right)\right) \ln \left(10\right)+i \pi  \ln \left(2 x \ln \left(x \right)-x \left(\ln \left(\frac{5}{x^{2}}\right)+2 \ln \left(x \right)\right)-{\mathrm e}^{x}\right) {\mathrm e}^{3}-4 i \pi  \ln \left(2 x \ln \left(x \right)-x \left(\ln \left(\frac{5}{x^{2}}\right)+2 \ln \left(x \right)\right)-{\mathrm e}^{x}\right)+\ln \left(2 x \ln \left(x \right)-x \left(\ln \left(\frac{5}{x^{2}}\right)+2 \ln \left(x \right)\right)-{\mathrm e}^{x}\right) {\mathrm e}^{3} \ln \left(10\right)-4 \ln \left(2 x \ln \left(x \right)-x \left(\ln \left(\frac{5}{x^{2}}\right)+2 \ln \left(x \right)\right)-{\mathrm e}^{x}\right) \ln \left(10\right)$&$177$\\ risch&$\ln \left(x \right) \ln \left(5\right) {\mathrm e}^{3}+\ln \left(x \right) {\mathrm e}^{3} \ln \left(2\right)-4 i \pi  \ln \left(x \right)-4 \ln \left(5\right) \ln \left(x \right)-4 \ln \left(2\right) \ln \left(x \right)+i \pi  \ln \left(x \right) {\mathrm e}^{3}+i \pi  \,{\mathrm e}^{3} \ln \left(\ln \left(x \right)-\frac{i \left(\pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(5\right) x -2 i {\mathrm e}^{x}\right)}{4 x}\right)+4 i \pi  \ln \left(\ln \left(x \right)-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(5\right)\right)}{4}\right)+\ln \left(5\right) {\mathrm e}^{3} \ln \left(\ln \left(x \right)-\frac{i \left(\pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(5\right) x -2 i {\mathrm e}^{x}\right)}{4 x}\right)+{\mathrm e}^{3} \ln \left(2\right) \ln \left(\ln \left(x \right)-\frac{i \left(\pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(5\right) x -2 i {\mathrm e}^{x}\right)}{4 x}\right)-4 \ln \left(5\right) \ln \left(\ln \left(x \right)-\frac{i \left(\pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(5\right) x -2 i {\mathrm e}^{x}\right)}{4 x}\right)-4 \ln \left(2\right) \ln \left(\ln \left(x \right)-\frac{i \left(\pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(5\right) x -2 i {\mathrm e}^{x}\right)}{4 x}\right)-4 i \pi  \ln \left(\ln \left(x \right)-\frac{i \left(\pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(5\right) x -2 i {\mathrm e}^{x}\right)}{4 x}\right)-i \pi  \,{\mathrm e}^{3} \ln \left(\ln \left(x \right)-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(5\right)\right)}{4}\right)-\ln \left(5\right) {\mathrm e}^{3} \ln \left(\ln \left(x \right)-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(5\right)\right)}{4}\right)-{\mathrm e}^{3} \ln \left(2\right) \ln \left(\ln \left(x \right)-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(5\right)\right)}{4}\right)+4 \ln \left(5\right) \ln \left(\ln \left(x \right)-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(5\right)\right)}{4}\right)+4 \ln \left(2\right) \ln \left(\ln \left(x \right)-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(5\right)\right)}{4}\right)$&$856$\\ \hline \end{longtable}"," ",0,"(-I*Pi*exp(3)+4*I*Pi-exp(3)*ln(10)+4*ln(10))*ln(ln(5/x^2))+(I*Pi*exp(3)-4*I*Pi+exp(3)*ln(10)-4*ln(10))*ln(x*ln(5/x^2)+exp(x))","B"
5052,1,41,20,0.161000," ","int((-ln(2*x/ln(3))^2+2*ln(2*x/ln(3)))/((exp(1)^2-8*exp(1)+16)*ln(2*x/ln(3))^4+(-2*x*exp(1)+8*x)*ln(2*x/ln(3))^2+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{\left({\mathrm e}-4\right) \left({\mathrm e} \ln \left(\frac{2 x}{\ln \left(3\right)}\right)^{2}-4 \ln \left(\frac{2 x}{\ln \left(3\right)}\right)^{2}-x \right)}$&$41$\\ norman&$-\frac{\ln \left(\frac{2 x}{\ln \left(3\right)}\right)^{2}}{{\mathrm e} \ln \left(\frac{2 x}{\ln \left(3\right)}\right)^{2}-4 \ln \left(\frac{2 x}{\ln \left(3\right)}\right)^{2}-x}$&$44$\\ \hline \end{longtable}"," ",0,"-x/(exp(1)-4)/(exp(1)*ln(2*x/ln(3))^2-4*ln(2*x/ln(3))^2-x)","A"
5053,1,5,4,0.023000," ","int(exp(x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x}+x$&$5$\\ norman&${\mathrm e}^{x}+x$&$5$\\ risch&${\mathrm e}^{x}+x$&$5$\\ derivativedivides&${\mathrm e}^{x}+\ln \left({\mathrm e}^{x}\right)$&$7$\\ \hline \end{longtable}"," ",0,"exp(x)+x","A"
5054,1,17,21,0.035000," ","int(1/3*((-6*x^2+3)*exp(x^2)*exp(exp(x^2)/x)-x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-{\mathrm e}^{\frac{{\mathrm e}^{x^{2}}}{x}}-\frac{\ln \left(x \right)}{3}$&$17$\\ risch&$-{\mathrm e}^{\frac{{\mathrm e}^{x^{2}}}{x}}-\frac{\ln \left(x \right)}{3}$&$17$\\ \hline \end{longtable}"," ",0,"-exp(exp(x^2)/x)-1/3*ln(x)","A"
5055,0,0,28,0.015000," ","int((2*ln(16*x*ln(ln(5))^2)-2*x^2-2)*ln((ln(16*x*ln(ln(5))^2)+x^2)/x)/(x*ln(16*x*ln(ln(5))^2)+x^3),x)","\[\int \frac{\left(2 \ln \left(16 x \ln \left(\ln \left(5\right)\right)^{2}\right)-2 x^{2}-2\right) \ln \left(\frac{\ln \left(16 x \ln \left(\ln \left(5\right)\right)^{2}\right)+x^{2}}{x}\right)}{x \ln \left(16 x \ln \left(\ln \left(5\right)\right)^{2}\right)+x^{3}}\, dx\]"," ",0,"int((2*ln(16*x*ln(ln(5))^2)-2*x^2-2)*ln((ln(16*x*ln(ln(5))^2)+x^2)/x)/(x*ln(16*x*ln(ln(5))^2)+x^3),x)","F"
5056,1,43,31,0.184000," ","int(((-4*x+2)*ln(1/5*x)^2+(x^2-16*x+8)*ln(1/5*x)+3*x^2-17*x+8)/(((x^4-2*x^3+x^2)*exp(2)+x^4-2*x^3+x^2)*ln(1/5*x)^2+((4*x^4-8*x^3+4*x^2)*exp(2)+4*x^4-8*x^3+4*x^2)*ln(1/5*x)+(4*x^4-8*x^3+4*x^2)*exp(2)+4*x^4-8*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{x \left({\mathrm e}^{2} x -{\mathrm e}^{2}+x -1\right)}-\frac{1}{\left({\mathrm e}^{2} x -{\mathrm e}^{2}+x -1\right) \left(\ln \left(\frac{x}{5}\right)+2\right)}$&$43$\\ norman&$\frac{-\frac{x}{{\mathrm e}^{2}+1}+\frac{4}{{\mathrm e}^{2}+1}+\frac{2 \ln \left(\frac{x}{5}\right)}{{\mathrm e}^{2}+1}}{x \left(\ln \left(\frac{x}{5}\right)+2\right) \left(x -1\right)}$&$48$\\ \hline \end{longtable}"," ",0,"2/x/(exp(2)*x-exp(2)+x-1)-1/(exp(2)*x-exp(2)+x-1)/(ln(1/5*x)+2)","A"
5057,1,35,27,0.126000," ","int((-4*x^2*exp(x-3)*exp(x)^2+(80*x*exp(x-3)+(-8*x-4)*ln(6))*exp(x)-400*exp(x-3)+40*ln(6))/(x^2*exp(x-3)*exp(x)^2-20*x*exp(x-3)*exp(x)+100*exp(x-3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(4 \,{\mathrm e}^{3} \ln \left(6\right)+40 \,{\mathrm e}^{x} x -4 \,{\mathrm e}^{2 x} x^{2}\right) {\mathrm e}^{-x}}{{\mathrm e}^{x} x -10}$&$35$\\ risch&$-4 x -\frac{2 \,{\mathrm e}^{3-x} \ln \left(2\right)}{5}-\frac{2 \,{\mathrm e}^{3-x} \ln \left(3\right)}{5}+\frac{2 x \left(\ln \left(2\right)+\ln \left(3\right)\right) {\mathrm e}^{3}}{5 \left({\mathrm e}^{x} x -10\right)}$&$43$\\ \hline \end{longtable}"," ",0,"(4*exp(3)*ln(6)+40*exp(x)*x-4*exp(x)^2*x^2)/exp(x)/(exp(x)*x-10)","A"
5058,1,48,30,0.135000," ","int((((2-x)*exp(5)-3*x^4-3*x^3)*exp(x)+x^3*(ln(3)+I*Pi)^2-6*x^3*(ln(3)+I*Pi)+10*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(2 i \ln \left(3\right) \pi -\pi^{2}-6 i \pi +\ln \left(3\right)^{2}-6 \ln \left(3\right)+10\right) x^{3}-{\mathrm e}^{5} {\mathrm e}^{x}-3 \,{\mathrm e}^{x} x^{3}}{x^{2}}$&$48$\\ risch&$2 i \ln \left(3\right) \pi  x -x \,\pi^{2}-6 i x \pi +x \ln \left(3\right)^{2}-6 x \ln \left(3\right)+10 x -\frac{\left(3 x^{3}+{\mathrm e}^{5}\right) {\mathrm e}^{x}}{x^{2}}$&$49$\\ default&$10 x +x \ln \left(3\right)^{2}-6 i x \pi +2 i \ln \left(3\right) \pi  x -x \,\pi^{2}-3 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{x}}{2 x^{2}}-\frac{{\mathrm e}^{x}}{2 x}-\frac{\expIntegralEi \left(1, -x \right)}{2}\right)-{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{x}}{x}-\expIntegralEi \left(1, -x \right)\right)-6 x \ln \left(3\right)$&$84$\\ \hline \end{longtable}"," ",0,"((2*I*ln(3)*Pi-Pi^2-6*I*Pi+ln(3)^2-6*ln(3)+10)*x^3-exp(5)*exp(x)-3*exp(x)*x^3)/x^2","A"
5059,1,25,23,0.243000," ","int((-10000*exp(2)*x-1000*x^3+8100*x^2-36800*x+1600)*exp((50*exp(2)-5*x^2+45*x)/(x-4))^2/(x^2-8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$100 x \,{\mathrm e}^{\frac{-10 x^{2}+100 \,{\mathrm e}^{2}+90 x}{x -4}}$&$25$\\ gosper&$100 x \,{\mathrm e}^{\frac{-10 x^{2}+100 \,{\mathrm e}^{2}+90 x}{x -4}}$&$27$\\ norman&$\frac{-400 x \,{\mathrm e}^{\frac{-10 x^{2}+100 \,{\mathrm e}^{2}+90 x}{x -4}}+100 x^{2} {\mathrm e}^{\frac{-10 x^{2}+100 \,{\mathrm e}^{2}+90 x}{x -4}}}{x -4}$&$60$\\ \hline \end{longtable}"," ",0,"100*x*exp(10*(-x^2+10*exp(2)+9*x)/(x-4))","A"
5060,1,33,32,0.160000," ","int(((2*x^4-3*x^3+5*x-12)*exp(exp(2)/x)+(5*x-15)*exp(2)+15*x)/x^3/exp(exp(2)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-3 x +\frac{-5 x +6}{x^{2}}+\frac{5 \left(x -3\right) {\mathrm e}^{-\frac{{\mathrm e}^{2}}{x}}}{x}$&$33$\\ norman&$\frac{\left(x^{4} {\mathrm e}^{\frac{{\mathrm e}^{2}}{x}}-15 x +5 x^{2}-5 \,{\mathrm e}^{\frac{{\mathrm e}^{2}}{x}} x -3 \,{\mathrm e}^{\frac{{\mathrm e}^{2}}{x}} x^{3}+6 \,{\mathrm e}^{\frac{{\mathrm e}^{2}}{x}}\right) {\mathrm e}^{-\frac{{\mathrm e}^{2}}{x}}}{x^{2}}$&$65$\\ derivativedivides&$-{\mathrm e}^{-4} \left(-\frac{6 \,{\mathrm e}^{4}}{x^{2}}-x^{2} {\mathrm e}^{4}+3 x \,{\mathrm e}^{4}-15 \,{\mathrm e}^{-\frac{{\mathrm e}^{2}}{x}} {\mathrm e}^{2}-5 \,{\mathrm e}^{-\frac{{\mathrm e}^{2}}{x}} {\mathrm e}^{4}-15 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{2} {\mathrm e}^{-\frac{{\mathrm e}^{2}}{x}}}{x}-{\mathrm e}^{-\frac{{\mathrm e}^{2}}{x}}\right)+\frac{5 \,{\mathrm e}^{4}}{x}\right)$&$102$\\ default&$-{\mathrm e}^{-4} \left(-\frac{6 \,{\mathrm e}^{4}}{x^{2}}-x^{2} {\mathrm e}^{4}+3 x \,{\mathrm e}^{4}-15 \,{\mathrm e}^{-\frac{{\mathrm e}^{2}}{x}} {\mathrm e}^{2}-5 \,{\mathrm e}^{-\frac{{\mathrm e}^{2}}{x}} {\mathrm e}^{4}-15 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{2} {\mathrm e}^{-\frac{{\mathrm e}^{2}}{x}}}{x}-{\mathrm e}^{-\frac{{\mathrm e}^{2}}{x}}\right)+\frac{5 \,{\mathrm e}^{4}}{x}\right)$&$102$\\ \hline \end{longtable}"," ",0,"x^2-3*x+(-5*x+6)/x^2+5*(x-3)/x*exp(-exp(2)/x)","A"
5061,1,18,19,0.241000," ","int((x*exp(x)*ln(x)+(-x^2-1)*exp(x)+(x-1)*exp(1))/(2*x*exp(x)^2+4*x*exp(1)*exp(x)+2*x*exp(1)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{\ln \left(x \right)}{2}+\frac{x}{2}+\frac{1}{2}}{{\mathrm e}+{\mathrm e}^{x}}$&$18$\\ risch&$-\frac{\ln \left(x \right)}{2 \left({\mathrm e}+{\mathrm e}^{x}\right)}+\frac{x +1}{2 \,{\mathrm e}+2 \,{\mathrm e}^{x}}$&$25$\\ \hline \end{longtable}"," ",0,"(-1/2*ln(x)+1/2*x+1/2)/(exp(1)+exp(x))","A"
5062,1,59,23,0.822000," ","int(((2*x^2+2*x)*exp(3)^2+(-2*x^4-14*x^2-16*x)*exp(3)-2*x^5+6*x^4+26*x^2+32*x)/((x^4+4*x^3+6*x^2+4*x+1)*exp(3)^4+(4*x^5-40*x^3-80*x^2-60*x-16)*exp(3)^3+(6*x^6-24*x^5-60*x^4+124*x^3+398*x^2+340*x+96)*exp(3)^2+(4*x^7-32*x^6+24*x^5+248*x^4-76*x^3-872*x^2-864*x-256)*exp(3)+x^8-12*x^7+38*x^6+40*x^5-279*x^4-140*x^3+708*x^2+832*x+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{x^{2} {\mathrm e}^{6}+2 x^{3} {\mathrm e}^{3}+x^{4}+2 x \,{\mathrm e}^{6}-4 x^{2} {\mathrm e}^{3}-6 x^{3}+{\mathrm e}^{6}-14 x \,{\mathrm e}^{3}+x^{2}-8 \,{\mathrm e}^{3}+26 x +16}$&$59$\\ gosper&$\frac{x^{2}}{x^{2} {\mathrm e}^{6}+2 x^{3} {\mathrm e}^{3}+x^{4}+2 x \,{\mathrm e}^{6}-4 x^{2} {\mathrm e}^{3}-6 x^{3}+{\mathrm e}^{6}-14 x \,{\mathrm e}^{3}+x^{2}-8 \,{\mathrm e}^{3}+26 x +16}$&$65$\\ norman&$\frac{x^{2}}{x^{2} {\mathrm e}^{6}+2 x^{3} {\mathrm e}^{3}+x^{4}+2 x \,{\mathrm e}^{6}-4 x^{2} {\mathrm e}^{3}-6 x^{3}+{\mathrm e}^{6}-14 x \,{\mathrm e}^{3}+x^{2}-8 \,{\mathrm e}^{3}+26 x +16}$&$65$\\ default&$\frac{\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{8}+\left(4 \,{\mathrm e}^{3}-12\right) \textit{\_Z}^{7}+\left(6 \,{\mathrm e}^{6}-32 \,{\mathrm e}^{3}+38\right) \textit{\_Z}^{6}+\left(-24 \,{\mathrm e}^{6}+4 \,{\mathrm e}^{9}+24 \,{\mathrm e}^{3}+40\right) \textit{\_Z}^{5}+\left(-60 \,{\mathrm e}^{6}+{\mathrm e}^{12}+248 \,{\mathrm e}^{3}-279\right) \textit{\_Z}^{4}+\left(124 \,{\mathrm e}^{6}-40 \,{\mathrm e}^{9}+4 \,{\mathrm e}^{12}-76 \,{\mathrm e}^{3}-140\right) \textit{\_Z}^{3}+\left(398 \,{\mathrm e}^{6}-80 \,{\mathrm e}^{9}+6 \,{\mathrm e}^{12}-872 \,{\mathrm e}^{3}+708\right) \textit{\_Z}^{2}+\left(340 \,{\mathrm e}^{6}-60 \,{\mathrm e}^{9}+4 \,{\mathrm e}^{12}-864 \,{\mathrm e}^{3}+832\right) \textit{\_Z} +256-16 \,{\mathrm e}^{9}+96 \,{\mathrm e}^{6}-256 \,{\mathrm e}^{3}+{\mathrm e}^{12}\right)}{\sum}\frac{\left(-\textit{\_R}^{5}+\left(3-{\mathrm e}^{3}\right) \textit{\_R}^{4}+\left({\mathrm e}^{6}-7 \,{\mathrm e}^{3}+13\right) \textit{\_R}^{2}+\left(16+{\mathrm e}^{6}-8 \,{\mathrm e}^{3}\right) \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{208+354 \textit{\_R} -15 \,{\mathrm e}^{9}+85 \,{\mathrm e}^{6}-216 \,{\mathrm e}^{3}+7 \textit{\_R}^{6} {\mathrm e}^{3}+9 \textit{\_R}^{5} {\mathrm e}^{6}-48 \textit{\_R}^{5} {\mathrm e}^{3}-30 \textit{\_R}^{4} {\mathrm e}^{6}+30 \textit{\_R}^{4} {\mathrm e}^{3}-60 \textit{\_R}^{3} {\mathrm e}^{6}+248 \textit{\_R}^{3} {\mathrm e}^{3}-57 \textit{\_R}^{2} {\mathrm e}^{3}-436 \textit{\_R} \,{\mathrm e}^{3}+{\mathrm e}^{12}+2 \textit{\_R}^{7}-21 \textit{\_R}^{6}+57 \textit{\_R}^{5}+50 \textit{\_R}^{4}-279 \textit{\_R}^{3}-105 \textit{\_R}^{2}+5 \textit{\_R}^{4} {\mathrm e}^{9}+3 \textit{\_R}^{2} {\mathrm e}^{12}+\textit{\_R}^{3} {\mathrm e}^{12}+3 \textit{\_R} \,{\mathrm e}^{12}-30 \textit{\_R}^{2} {\mathrm e}^{9}-40 \textit{\_R} \,{\mathrm e}^{9}+93 \textit{\_R}^{2} {\mathrm e}^{6}+199 \textit{\_R} \,{\mathrm e}^{6}}\right)}{2}$&$354$\\ \hline \end{longtable}"," ",0,"x^2/(x^2*exp(6)+2*x^3*exp(3)+x^4+2*x*exp(6)-4*x^2*exp(3)-6*x^3+exp(6)-14*x*exp(3)+x^2-8*exp(3)+26*x+16)","B"
5063,1,17,16,0.025000," ","int(((324*x^4-2*x^2)*ln(x)+2)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$81 x^{4}-x^{2}+2 \ln \left(\ln \left(x \right)\right)$&$17$\\ norman&$81 x^{4}-x^{2}+2 \ln \left(\ln \left(x \right)\right)$&$17$\\ risch&$81 x^{4}-x^{2}+2 \ln \left(\ln \left(x \right)\right)$&$17$\\ \hline \end{longtable}"," ",0,"81*x^4-x^2+2*ln(ln(x))","A"
5064,1,106036,27,19.127000," ","int(1/2*((-32*x*ln(x)-16*x)*ln(1/16*x^4*ln(x)^2)^3+(-exp(3)+2*x^2-4)*ln(x))/x^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$106036$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
5065,1,7,12,0.029000," ","int(2*x/exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{-2}$&$7$\\ gosper&$x^{2} {\mathrm e}^{-2}$&$9$\\ default&$x^{2} {\mathrm e}^{-2}$&$9$\\ norman&$x^{2} {\mathrm e}^{-2}$&$9$\\ \hline \end{longtable}"," ",0,"x^2*exp(-2)","A"
5066,1,308,22,0.136000," ","int((6*exp(4)*ln(x)-2*exp(4)^2+(6-4*x)*exp(4)-2*x^2+6*x)*exp(1/3*ln((-3*x*ln(x)+x*exp(4)+x^2)/(x+exp(4)))-1)*exp(2*exp(1/3*ln((-3*x*ln(x)+x*exp(4)+x^2)/(x+exp(4)))-1))/((9*x*exp(4)+9*x^2)*ln(x)-3*x*exp(4)^2-6*x^2*exp(4)-3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 x^{\frac{1}{3}} \left({\mathrm e}^{4}+x -3 \ln \left(x \right)\right)^{\frac{1}{3}} {\mathrm e}^{-1-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}+x -3 \ln \left(x \right)\right)}{x +{\mathrm e}^{4}}\right)^{3}}{6}+\frac{i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}+x -3 \ln \left(x \right)\right)}{x +{\mathrm e}^{4}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x +{\mathrm e}^{4}}\right)}{6}+\frac{i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}+x -3 \ln \left(x \right)\right)}{x +{\mathrm e}^{4}}\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{4}+x -3 \ln \left(x \right)\right)\right)}{6}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}+x -3 \ln \left(x \right)\right)}{x +{\mathrm e}^{4}}\right) \mathrm{csgn}\left(\frac{i}{x +{\mathrm e}^{4}}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{4}+x -3 \ln \left(x \right)\right)\right)}{6}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}+x -3 \ln \left(x \right)\right)}{x +{\mathrm e}^{4}}\right) \mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{4}+x -3 \ln \left(x \right)\right)}{x +{\mathrm e}^{4}}\right)^{2}}{6}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}+x -3 \ln \left(x \right)\right)}{x +{\mathrm e}^{4}}\right) \mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{4}+x -3 \ln \left(x \right)\right)}{x +{\mathrm e}^{4}}\right) \mathrm{csgn}\left(i x \right)}{6}-\frac{i \pi  \mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{4}+x -3 \ln \left(x \right)\right)}{x +{\mathrm e}^{4}}\right)^{3}}{6}+\frac{i \pi  \mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{4}+x -3 \ln \left(x \right)\right)}{x +{\mathrm e}^{4}}\right)^{2} \mathrm{csgn}\left(i x \right)}{6}}}{\left(x +{\mathrm e}^{4}\right)^{\frac{1}{3}}}}$&$308$\\ \hline \end{longtable}"," ",0,"exp(2*x^(1/3)/(x+exp(4))^(1/3)*(exp(4)+x-3*ln(x))^(1/3)*exp(-1-1/6*I*Pi*csgn(I/(x+exp(4))*(exp(4)+x-3*ln(x)))^3+1/6*I*Pi*csgn(I/(x+exp(4))*(exp(4)+x-3*ln(x)))^2*csgn(I/(x+exp(4)))+1/6*I*Pi*csgn(I/(x+exp(4))*(exp(4)+x-3*ln(x)))^2*csgn(I*(exp(4)+x-3*ln(x)))-1/6*I*Pi*csgn(I/(x+exp(4))*(exp(4)+x-3*ln(x)))*csgn(I/(x+exp(4)))*csgn(I*(exp(4)+x-3*ln(x)))+1/6*I*Pi*csgn(I/(x+exp(4))*(exp(4)+x-3*ln(x)))*csgn(I*x/(x+exp(4))*(exp(4)+x-3*ln(x)))^2-1/6*I*Pi*csgn(I/(x+exp(4))*(exp(4)+x-3*ln(x)))*csgn(I*x/(x+exp(4))*(exp(4)+x-3*ln(x)))*csgn(I*x)-1/6*I*Pi*csgn(I*x/(x+exp(4))*(exp(4)+x-3*ln(x)))^3+1/6*I*Pi*csgn(I*x/(x+exp(4))*(exp(4)+x-3*ln(x)))^2*csgn(I*x)))","C"
5067,1,37,29,0.218000," ","int(((-16*x^4-192*x^3-648*x^2-648*x)*exp(4)*exp(4*exp(4)/(x^2+1))*ln((2*x^2+18*x+27)/(x^2+6*x+9))-6*x^5-12*x^3-6*x)/(2*x^7+24*x^6+85*x^5+129*x^4+164*x^3+186*x^2+81*x+81)/ln((2*x^2+18*x+27)/(x^2+6*x+9)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(\frac{2 x^{2}+18 x +27}{x^{2}+6 x +9}\right)\right)+{\mathrm e}^{\frac{4 \,{\mathrm e}^{4}}{x^{2}+1}}$&$37$\\ risch&${\mathrm e}^{\frac{4 \,{\mathrm e}^{4}}{x^{2}+1}}+\ln \left(\ln \left(x^{2}+9 x +\frac{27}{2}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{\left(3+x \right)^{2}}\right) \mathrm{csgn}\left(i \left(x^{2}+9 x +\frac{27}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+9 x +\frac{27}{2}\right)}{\left(3+x \right)^{2}}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{\left(3+x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+9 x +\frac{27}{2}\right)}{\left(3+x \right)^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(3+x \right)\right)^{2} \mathrm{csgn}\left(i \left(3+x \right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(3+x \right)\right) \mathrm{csgn}\left(i \left(3+x \right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(3+x \right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i \left(x^{2}+9 x +\frac{27}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+9 x +\frac{27}{2}\right)}{\left(3+x \right)^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+9 x +\frac{27}{2}\right)}{\left(3+x \right)^{2}}\right)^{3}+2 i \ln \left(2\right)-4 i \ln \left(3+x \right)\right)}{2}\right)$&$223$\\ \hline \end{longtable}"," ",0,"ln(ln((2*x^2+18*x+27)/(x^2+6*x+9)))+exp(4*exp(4)/(x^2+1))","A"
5068,1,28,24,0.104000," ","int((((2*x^3+x^2-13*x+6)*ln(2-x)*ln(1+1/3*x)+(-x^2+2*x)*ln(2-x))*ln(ln(2-x))+(2*x^2+6*x)*ln(1+1/3*x))/(x^3+x^2-6*x)/ln(2-x)/ln(1+1/3*x)/ln(ln(2-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\ln \left(x \right)-\ln \left(\ln \left(1+\frac{x}{3}\right)\right)+2 \ln \left(\ln \left(\ln \left(2-x \right)\right)\right)$&$28$\\ default&$2 x -\ln \left(x \right)-\ln \left(\ln \left(3\right)-\ln \left(3+x \right)\right)+2 \ln \left(\ln \left(\ln \left(2-x \right)\right)\right)$&$31$\\ \hline \end{longtable}"," ",0,"2*x-ln(x)-ln(ln(1+1/3*x))+2*ln(ln(ln(2-x)))","A"
5069,1,148,25,0.234000," ","int(((x^2+3*x)*ln(2*x+6)*ln(x^3)+(-x^3-252*x^2-757*x-30)*ln(2*x+6)+x^3-10*x^2+25*x)*exp((-ln(x^3)+256)/(x-5))/(x^5-7*x^4-5*x^3+75*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(2 x +6\right) {\mathrm e}^{-\frac{-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+6 \ln \left(x \right)-512}{2 \left(x -5\right)}}}{x}$&$148$\\ \hline \end{longtable}"," ",0,"ln(2*x+6)/x*exp(-1/2*(-I*Pi*csgn(I*x^2)^3+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x)^2*csgn(I*x^2)-I*Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+I*Pi*csgn(I*x^2)*csgn(I*x^3)^2+I*Pi*csgn(I*x)*csgn(I*x^3)^2-I*Pi*csgn(I*x^3)^3+6*ln(x)-512)/(x-5))","C"
5070,1,81,32,0.073000," ","int(((-1152*x^2*exp(x^2)^2-288*x)*ln(x)^2+((2304*x^4-2304*x^3-576*x^2+288*x+288)*exp(x^2)^2-288*x^2+288*x)*ln(x)-2*x^2*exp(x^2)^6-6*x^3*exp(x^2)^4+(-1152*x^6+2304*x^5-582*x^4-864*x^3+288*x)*exp(x^2)^2+286*x^5-288*x^4-288*x^3+288*x^2)*exp((144*ln(x)^2+(-288*x^2+288*x)*ln(x)-x^2*exp(x^2)^4-2*x^3*exp(x^2)^2+143*x^4-288*x^3+144*x^2)/(9*exp(x^2)^4+18*x*exp(x^2)^2+9*x^2))/(9*x*exp(x^2)^6+27*x^2*exp(x^2)^4+27*x^3*exp(x^2)^2+9*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-2 x^{3} {\mathrm e}^{2 x^{2}}+143 x^{4}-288 x^{2} \ln \left(x \right)-x^{2} {\mathrm e}^{4 x^{2}}-288 x^{3}+144 \ln \left(x \right)^{2}+288 x \ln \left(x \right)+144 x^{2}}{9 \,{\mathrm e}^{4 x^{2}}+18 x \,{\mathrm e}^{2 x^{2}}+9 x^{2}}}$&$81$\\ \hline \end{longtable}"," ",0,"exp(1/9*(-2*x^3*exp(2*x^2)+143*x^4-288*x^2*ln(x)-x^2*exp(4*x^2)-288*x^3+144*ln(x)^2+288*x*ln(x)+144*x^2)/(2*x*exp(2*x^2)+x^2+exp(4*x^2)))","B"
5071,1,28,25,0.230000," ","int(((-9*x^2+12*x)*exp(x)^2+((-18*x^2+24*x)*exp(8)+3*x^3+3*x^2-12*x)*exp(x)+(-9*x^2+12*x)*exp(8)^2+(9*x^2-12*x)*exp(8))/(4*exp(x)^2+(8*exp(8)-8)*exp(x)+4*exp(8)^2-8*exp(8)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 x^{3}}{4}+\frac{3 x^{2}}{2}-\frac{3 \left(x -2\right) x^{2}}{4 \left({\mathrm e}^{x}+{\mathrm e}^{8}-1\right)}$&$28$\\ norman&$\frac{\frac{3 x^{2} {\mathrm e}^{8}}{2}-\frac{3 \,{\mathrm e}^{8} x^{3}}{4}+\frac{3 \,{\mathrm e}^{x} x^{2}}{2}-\frac{3 \,{\mathrm e}^{x} x^{3}}{4}}{{\mathrm e}^{x}+{\mathrm e}^{8}-1}$&$39$\\ \hline \end{longtable}"," ",0,"-3/4*x^3+3/2*x^2-3/4*(x-2)*x^2/(exp(x)+exp(8)-1)","A"
5072,1,15,16,0.036000," ","int(exp(x)+(1-2*x)*ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2} \ln \left(5\right)+x \ln \left(5\right)+{\mathrm e}^{x}$&$15$\\ norman&$-x^{2} \ln \left(5\right)+x \ln \left(5\right)+{\mathrm e}^{x}$&$15$\\ risch&$-x^{2} \ln \left(5\right)+x \ln \left(5\right)+{\mathrm e}^{x}$&$15$\\ \hline \end{longtable}"," ",0,"-x^2*ln(5)+x*ln(5)+exp(x)","A"
5073,1,27,26,0.109000," ","int((-6*ln(5)*exp(x^2)^2+((2*x^2-x)*ln(5)*exp(x)+(6*x^2+24*x)*ln(5))*exp(x^2)+(2*x^2-2*x)*ln(5)*exp(x)+(-24*x^2-6*x)*ln(5))/(48*x^3*exp(x^2)^2-192*x^4*exp(x^2)+192*x^5)/exp((3+exp(x))/(3*exp(x^2)-6*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(5\right) {\mathrm e}^{\frac{3+{\mathrm e}^{x}}{-3 \,{\mathrm e}^{x^{2}}+6 x}}}{16 x^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"1/16*ln(5)/x^2*exp(1/3*(3+exp(x))/(-exp(x^2)+2*x))","A"
5074,1,483,28,0.773000," ","int(((exp(x)+16*x^2*(ln(3)+I*Pi)^2-56*x^2*(ln(3)+I*Pi)+49*x^2)*ln(exp(x)*x+16*x^3*(ln(3)+I*Pi)^2-56*x^3*(ln(3)+I*Pi)+49*x^3)+((x+1)*exp(x)+48*x^2*(ln(3)+I*Pi)^2-168*x^2*(ln(3)+I*Pi)+147*x^2)*ln(x)+(-2*x-2)*exp(x)-96*x^2*(ln(3)+I*Pi)^2+336*x^2*(ln(3)+I*Pi)-294*x^2)/(exp(x)*x+16*x^3*(ln(3)+I*Pi)^2-56*x^3*(ln(3)+I*Pi)+49*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right) \ln \left(-\pi^{2} x^{2}+\left(2 i \ln \left(3\right) x^{2}-\frac{7 i x^{2}}{2}\right) \pi +x^{2} \ln \left(3\right)^{2}-\frac{7 x^{2} \ln \left(3\right)}{2}+\frac{49 x^{2}}{16}+\frac{{\mathrm e}^{x}}{16}\right)+\ln \left(x \right)^{2}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(-\pi^{2} x^{2}+\left(2 i \ln \left(3\right) x^{2}-\frac{7 i x^{2}}{2}\right) \pi +x^{2} \ln \left(3\right)^{2}-\frac{7 x^{2} \ln \left(3\right)}{2}+\frac{49 x^{2}}{16}+\frac{{\mathrm e}^{x}}{16}\right)\right) \mathrm{csgn}\left(i x \left(-\pi^{2} x^{2}+\left(2 i \ln \left(3\right) x^{2}-\frac{7 i x^{2}}{2}\right) \pi +x^{2} \ln \left(3\right)^{2}-\frac{7 x^{2} \ln \left(3\right)}{2}+\frac{49 x^{2}}{16}+\frac{{\mathrm e}^{x}}{16}\right)\right)}{2}+\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(-\pi^{2} x^{2}+\left(2 i \ln \left(3\right) x^{2}-\frac{7 i x^{2}}{2}\right) \pi +x^{2} \ln \left(3\right)^{2}-\frac{7 x^{2} \ln \left(3\right)}{2}+\frac{49 x^{2}}{16}+\frac{{\mathrm e}^{x}}{16}\right)\right)^{2}}{2}+\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(-\pi^{2} x^{2}+\left(2 i \ln \left(3\right) x^{2}-\frac{7 i x^{2}}{2}\right) \pi +x^{2} \ln \left(3\right)^{2}-\frac{7 x^{2} \ln \left(3\right)}{2}+\frac{49 x^{2}}{16}+\frac{{\mathrm e}^{x}}{16}\right)\right) \mathrm{csgn}\left(i x \left(-\pi^{2} x^{2}+\left(2 i \ln \left(3\right) x^{2}-\frac{7 i x^{2}}{2}\right) \pi +x^{2} \ln \left(3\right)^{2}-\frac{7 x^{2} \ln \left(3\right)}{2}+\frac{49 x^{2}}{16}+\frac{{\mathrm e}^{x}}{16}\right)\right)^{2}}{2}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \left(-\pi^{2} x^{2}+\left(2 i \ln \left(3\right) x^{2}-\frac{7 i x^{2}}{2}\right) \pi +x^{2} \ln \left(3\right)^{2}-\frac{7 x^{2} \ln \left(3\right)}{2}+\frac{49 x^{2}}{16}+\frac{{\mathrm e}^{x}}{16}\right)\right)^{3}}{2}-2 \ln \left(x \right)-2 \ln \left(-16 \pi^{2} x^{2}+32 i \pi  \ln \left(3\right) x^{2}-56 i \pi  \,x^{2}+16 x^{2} \ln \left(3\right)^{2}-56 x^{2} \ln \left(3\right)+49 x^{2}+{\mathrm e}^{x}\right)$&$483$\\ \hline \end{longtable}"," ",0,"ln(x)*ln(-Pi^2*x^2+(2*I*ln(3)*x^2-7/2*I*x^2)*Pi+x^2*ln(3)^2-7/2*x^2*ln(3)+49/16*x^2+1/16*exp(x))+ln(x)^2-1/2*I*Pi*ln(x)*csgn(I*x)*csgn(I*(-Pi^2*x^2+(2*I*ln(3)*x^2-7/2*I*x^2)*Pi+x^2*ln(3)^2-7/2*x^2*ln(3)+49/16*x^2+1/16*exp(x)))*csgn(I*x*(-Pi^2*x^2+(2*I*ln(3)*x^2-7/2*I*x^2)*Pi+x^2*ln(3)^2-7/2*x^2*ln(3)+49/16*x^2+1/16*exp(x)))+1/2*I*Pi*ln(x)*csgn(I*x)*csgn(I*x*(-Pi^2*x^2+(2*I*ln(3)*x^2-7/2*I*x^2)*Pi+x^2*ln(3)^2-7/2*x^2*ln(3)+49/16*x^2+1/16*exp(x)))^2+1/2*I*Pi*ln(x)*csgn(I*(-Pi^2*x^2+(2*I*ln(3)*x^2-7/2*I*x^2)*Pi+x^2*ln(3)^2-7/2*x^2*ln(3)+49/16*x^2+1/16*exp(x)))*csgn(I*x*(-Pi^2*x^2+(2*I*ln(3)*x^2-7/2*I*x^2)*Pi+x^2*ln(3)^2-7/2*x^2*ln(3)+49/16*x^2+1/16*exp(x)))^2-1/2*I*Pi*ln(x)*csgn(I*x*(-Pi^2*x^2+(2*I*ln(3)*x^2-7/2*I*x^2)*Pi+x^2*ln(3)^2-7/2*x^2*ln(3)+49/16*x^2+1/16*exp(x)))^3-2*ln(x)-2*ln(-16*Pi^2*x^2+32*I*Pi*ln(3)*x^2-56*I*Pi*x^2+16*x^2*ln(3)^2-56*x^2*ln(3)+49*x^2+exp(x))","C"
5075,1,51,19,0.059000," ","int(exp(10)^2+(2*exp(4)^2+6*x^2-2)*exp(10)+exp(4)^4+(6*x^2-2)*exp(4)^2+5*x^4-6*x^2+2*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{20}+2 \,{\mathrm e}^{18} x +2 x^{3} {\mathrm e}^{10}-2 x \,{\mathrm e}^{10}+x \,{\mathrm e}^{16}+2 \,{\mathrm e}^{8} x^{3}-2 x \,{\mathrm e}^{8}+x^{5}-2 x^{3}+x^{2}+x$&$51$\\ norman&$x^{5}+\left(2 \,{\mathrm e}^{8}+2 \,{\mathrm e}^{10}-2\right) x^{3}+x^{2}+\left({\mathrm e}^{16}+2 \,{\mathrm e}^{10} {\mathrm e}^{8}+{\mathrm e}^{20}-2 \,{\mathrm e}^{8}-2 \,{\mathrm e}^{10}+1\right) x$&$54$\\ gosper&$x \left({\mathrm e}^{16}+2 x^{2} {\mathrm e}^{8}+x^{4}+2 \,{\mathrm e}^{10} {\mathrm e}^{8}+2 \,{\mathrm e}^{10} x^{2}+{\mathrm e}^{20}-2 \,{\mathrm e}^{8}-2 x^{2}-2 \,{\mathrm e}^{10}+x +1\right)$&$56$\\ default&$x \,{\mathrm e}^{20}+{\mathrm e}^{10} \left(2 x \,{\mathrm e}^{8}+2 x^{3}-2 x \right)+x \,{\mathrm e}^{16}+{\mathrm e}^{8} \left(2 x^{3}-2 x \right)+x^{5}-2 x^{3}+x^{2}+x$&$59$\\ \hline \end{longtable}"," ",0,"x*exp(20)+2*exp(18)*x+2*x^3*exp(10)-2*x*exp(10)+x*exp(16)+2*exp(8)*x^3-2*x*exp(8)+x^5-2*x^3+x^2+x","B"
5076,1,20,26,0.094000," ","int(((-3*x^5+16*x^4-23*x^3+10*x^2)*exp(-1/4*x^3+5/4*x^2)+4*x^2-16*x+4)/(4*x^3-8*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{x -1}+\ln \left(x \right)+{\mathrm e}^{-\frac{x^{2} \left(x -5\right)}{4}}$&$20$\\ norman&$\frac{{\mathrm e}^{-\frac{1}{4} x^{3}+\frac{5}{4} x^{2}} x -{\mathrm e}^{-\frac{1}{4} x^{3}+\frac{5}{4} x^{2}}+2}{x -1}+\ln \left(x \right)$&$40$\\ \hline \end{longtable}"," ",0,"2/(x-1)+ln(x)+exp(-1/4*x^2*(x-5))","A"
5077,1,19,19,0.046000," ","int(1/2*(-2*x^2-2*x)*exp(2*x-6)+2*x+1/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\frac{x}{2}-\frac{{\mathrm e}^{2 x -6} x^{2}}{2}$&$19$\\ risch&$x^{2}+\frac{x}{2}-\frac{{\mathrm e}^{2 x -6} x^{2}}{2}$&$19$\\ default&$x^{2}+\frac{x}{2}-\frac{3 \,{\mathrm e}^{2 x -6} \left(2 x -6\right)}{2}-\frac{9 \,{\mathrm e}^{2 x -6}}{2}-\frac{{\mathrm e}^{2 x -6} \left(2 x -6\right)^{2}}{8}$&$44$\\ derivativedivides&$\frac{13 x}{2}-\frac{39}{2}+\frac{\left(2 x -6\right)^{2}}{4}-\frac{3 \,{\mathrm e}^{2 x -6} \left(2 x -6\right)}{2}-\frac{9 \,{\mathrm e}^{2 x -6}}{2}-\frac{{\mathrm e}^{2 x -6} \left(2 x -6\right)^{2}}{8}$&$51$\\ \hline \end{longtable}"," ",0,"x^2+1/2*x-1/2*exp(2*x-6)*x^2","A"
5078,1,253,35,0.112000," ","int(((2*x-8)*exp(x)^2*exp(4*ln(2)^2)^2+((-6*x^2+44*x-80)*exp(x)^2+((-8*x^3+88*x^2-256*x+128)*ln(3)+8*x^4-96*x^3+320*x^2-256*x)*exp(x))*exp(4*ln(2)^2)+(4*x^3-42*x^2+146*x-168)*exp(x)^2+((8*x^4-120*x^3+584*x^2-1024*x+384)*ln(3)-8*x^5+128*x^4-672*x^3+1344*x^2-768*x)*exp(x)+(-32*x^4+320*x^3-896*x^2+512*x)*ln(3)^2+(64*x^5-672*x^4+2048*x^3-1536*x^2)*ln(3)-32*x^6+352*x^5-1152*x^4+1024*x^3)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\left(-128-32 \ln \left(3\right)\right) x^{5}+\left(-512 \ln \left(3\right)-128 \ln \left(3\right)^{2}\right) x^{3}+\left(256+256 \ln \left(3\right)+16 \ln \left(3\right)^{2}\right) x^{4}+{\mathrm e}^{2 x} x^{4}+\left(-2 \,{\mathrm e}^{4 \ln \left(2\right)^{2}}-14\right) x^{3} {\mathrm e}^{2 x}+\left(128 \ln \left(3\right) {\mathrm e}^{4 \ln \left(2\right)^{2}}+384 \ln \left(3\right)\right) x \,{\mathrm e}^{x}+\left(-88-8 \ln \left(3\right)-8 \,{\mathrm e}^{4 \ln \left(2\right)^{2}}\right) x^{4} {\mathrm e}^{x}+\left(-8 \,{\mathrm e}^{8 \ln \left(2\right)^{2}}-80 \,{\mathrm e}^{4 \ln \left(2\right)^{2}}-168\right) x \,{\mathrm e}^{2 x}+\left({\mathrm e}^{8 \ln \left(2\right)^{2}}+22 \,{\mathrm e}^{4 \ln \left(2\right)^{2}}+73\right) x^{2} {\mathrm e}^{2 x}+\left(-384-320 \ln \left(3\right)-128 \,{\mathrm e}^{4 \ln \left(2\right)^{2}}-64 \ln \left(3\right) {\mathrm e}^{4 \ln \left(2\right)^{2}}\right) x^{2} {\mathrm e}^{x}+\left(320+88 \ln \left(3\right)+64 \,{\mathrm e}^{4 \ln \left(2\right)^{2}}+8 \ln \left(3\right) {\mathrm e}^{4 \ln \left(2\right)^{2}}\right) x^{3} {\mathrm e}^{x}+16 x^{6}+256 x^{2} \ln \left(3\right)^{2}+8 x^{5} {\mathrm e}^{x}\right) {\mathrm e}^{-2 x}$&$253$\\ risch&${\mathrm e}^{8 \ln \left(2\right)^{2}} x^{2}-8 \,{\mathrm e}^{8 \ln \left(2\right)^{2}} x -2 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{3}+22 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{2}-80 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x +x^{4}-14 x^{3}+73 x^{2}-168 x +\left(8 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} \ln \left(3\right) x^{3}-8 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{4}-64 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} \ln \left(3\right) x^{2}+64 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{3}+128 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} \ln \left(3\right) x -128 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{2}-8 x^{4} \ln \left(3\right)+8 x^{5}+88 x^{3} \ln \left(3\right)-88 x^{4}-320 x^{2} \ln \left(3\right)+320 x^{3}+384 x \ln \left(3\right)-384 x^{2}\right) {\mathrm e}^{-x}+\left(16 x^{4} \ln \left(3\right)^{2}-32 x^{5} \ln \left(3\right)+16 x^{6}-128 x^{3} \ln \left(3\right)^{2}+256 x^{4} \ln \left(3\right)-128 x^{5}+256 x^{2} \ln \left(3\right)^{2}-512 x^{3} \ln \left(3\right)+256 x^{4}\right) {\mathrm e}^{-2 x}$&$270$\\ default&$-168 x +x^{4}-14 x^{3}+73 x^{2}+8 \,{\mathrm e}^{-x} {\mathrm e}^{4 \ln \left(2\right)^{2}} \ln \left(3\right) x^{3}-64 \,{\mathrm e}^{-x} {\mathrm e}^{4 \ln \left(2\right)^{2}} x^{2} \ln \left(3\right)+128 \,{\mathrm e}^{-x} {\mathrm e}^{4 \ln \left(2\right)^{2}} x \ln \left(3\right)-384 x^{2} {\mathrm e}^{-x}+{\mathrm e}^{8 \ln \left(2\right)^{2}} x^{2}-8 \,{\mathrm e}^{8 \ln \left(2\right)^{2}} x -2 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{3}+22 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x^{2}-80 \,{\mathrm e}^{4 \ln \left(2\right)^{2}} x +320 x^{3} {\mathrm e}^{-x}-88 x^{4} {\mathrm e}^{-x}+256 x^{4} {\mathrm e}^{-2 x}+8 \,{\mathrm e}^{-x} x^{5}+16 \,{\mathrm e}^{-2 x} x^{6}-128 \,{\mathrm e}^{-2 x} x^{5}+384 x \ln \left(3\right) {\mathrm e}^{-x}+256 \,{\mathrm e}^{-2 x} x^{4} \ln \left(3\right)+88 \,{\mathrm e}^{-x} \ln \left(3\right) x^{3}-8 \,{\mathrm e}^{-x} \ln \left(3\right) x^{4}-8 \,{\mathrm e}^{-x} {\mathrm e}^{4 \ln \left(2\right)^{2}} x^{4}+64 \,{\mathrm e}^{-x} {\mathrm e}^{4 \ln \left(2\right)^{2}} x^{3}-128 \,{\mathrm e}^{-x} {\mathrm e}^{4 \ln \left(2\right)^{2}} x^{2}-128 \,{\mathrm e}^{-2 x} x^{3} \ln \left(3\right)^{2}-32 \,{\mathrm e}^{-2 x} x^{5} \ln \left(3\right)-512 \,{\mathrm e}^{-2 x} x^{3} \ln \left(3\right)-320 \,{\mathrm e}^{-x} x^{2} \ln \left(3\right)+256 \,{\mathrm e}^{-2 x} x^{2} \ln \left(3\right)^{2}+16 \,{\mathrm e}^{-2 x} x^{4} \ln \left(3\right)^{2}$&$350$\\ \hline \end{longtable}"," ",0,"((-128-32*ln(3))*x^5+(-512*ln(3)-128*ln(3)^2)*x^3+(256+256*ln(3)+16*ln(3)^2)*x^4+exp(x)^2*x^4+(-2*exp(ln(2)^2)^4-14)*x^3*exp(x)^2+(128*exp(ln(2)^2)^4*ln(3)+384*ln(3))*x*exp(x)+(-88-8*ln(3)-8*exp(ln(2)^2)^4)*x^4*exp(x)+(-8*exp(ln(2)^2)^8-80*exp(ln(2)^2)^4-168)*x*exp(x)^2+(exp(ln(2)^2)^8+22*exp(ln(2)^2)^4+73)*x^2*exp(x)^2+(-384-320*ln(3)-128*exp(ln(2)^2)^4-64*exp(ln(2)^2)^4*ln(3))*x^2*exp(x)+(320+88*ln(3)+64*exp(ln(2)^2)^4+8*exp(ln(2)^2)^4*ln(3))*x^3*exp(x)+16*x^6+256*x^2*ln(3)^2+8*x^5*exp(x))/exp(x)^2","B"
5079,1,18,26,0.040000," ","int(1/10*(5*exp(x)-1)*exp(1/5*x-exp(x))+exp(x)+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x -\frac{{\mathrm e}^{\frac{x}{5}-{\mathrm e}^{x}}}{2}+{\mathrm e}^{x}$&$18$\\ norman&$4 x -\frac{{\mathrm e}^{\frac{x}{5}-{\mathrm e}^{x}}}{2}+{\mathrm e}^{x}$&$18$\\ risch&$4 x -\frac{{\mathrm e}^{\frac{x}{5}-{\mathrm e}^{x}}}{2}+{\mathrm e}^{x}$&$18$\\ \hline \end{longtable}"," ",0,"4*x-1/2*exp(1/5*x-exp(x))+exp(x)","A"
5080,1,27,26,0.093000," ","int(((-50*exp(x^2)*x-25)*exp(2*exp(exp(1/4))-exp(x^2)-x-2)-25)/(exp(2*exp(exp(1/4))-exp(x^2)-x-2)^2+(-2*x-2)*exp(2*exp(exp(1/4))-exp(x^2)-x-2)+x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{25}{x +1-{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{\frac{1}{4}}}-{\mathrm e}^{x^{2}}-x -2}}$&$27$\\ risch&$\frac{25}{x +1-{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{\frac{1}{4}}}-{\mathrm e}^{x^{2}}-x -2}}$&$27$\\ \hline \end{longtable}"," ",0,"25/(x+1-exp(2*exp(exp(1/4))-exp(x^2)-x-2))","A"
5081,1,62,25,0.095000," ","int((32*x*exp(x^3+x^2)^2+((-120*x^5-80*x^4+120*x^2)*ln(5)-120*x^6-80*x^5+160*x^3)*exp(x^3+x^2)+(-150*x^6-100*x^5+100*x^3)*ln(5)^2+(-300*x^7-200*x^6+250*x^4)*ln(5)-150*x^8-100*x^7+150*x^5)/exp(x^3+x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{2}+\left(40 x^{3} \ln \left(5\right)+40 x^{4}\right) {\mathrm e}^{-\left(x +1\right) x^{2}}+\left(25 x^{4} \ln \left(5\right)^{2}+50 x^{5} \ln \left(5\right)+25 x^{6}\right) {\mathrm e}^{-2 \left(x +1\right) x^{2}}$&$62$\\ norman&$\left(25 x^{6}+16 x^{2} {\mathrm e}^{2 x^{3}+2 x^{2}}+25 x^{4} \ln \left(5\right)^{2}+50 x^{5} \ln \left(5\right)+40 \,{\mathrm e}^{x^{3}+x^{2}} x^{4}+40 \ln \left(5\right) {\mathrm e}^{x^{3}+x^{2}} x^{3}\right) {\mathrm e}^{-2 x^{3}-2 x^{2}}$&$77$\\ \hline \end{longtable}"," ",0,"16*x^2+(40*x^3*ln(5)+40*x^4)*exp(-(x+1)*x^2)+(25*x^4*ln(5)^2+50*x^5*ln(5)+25*x^6)*exp(-2*(x+1)*x^2)","B"
5082,1,33,24,0.112000," ","int(((x^3-6*x^2+5*x)*ln(3)^4*ln(-x^3+6*x^2-5*x)+(x^3-6*x^2+5*x)*ln(3)^4*ln(5)+(12*x^2-48*x+20)*ln(3)^4)/((x^3-6*x^2+5*x)*ln(-x^3+6*x^2-5*x)+(x^3-6*x^2+5*x)*ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(3\right)^{4}+4 \ln \left(3\right)^{4} \ln \left(\ln \left(-x^{3}+6 x^{2}-5 x \right)+\ln \left(5\right)\right)$&$33$\\ risch&$x \ln \left(3\right)^{4}+4 \ln \left(3\right)^{4} \ln \left(\ln \left(-x^{3}+6 x^{2}-5 x \right)+\ln \left(5\right)\right)$&$33$\\ \hline \end{longtable}"," ",0,"x*ln(3)^4+4*ln(3)^4*ln(ln(-x^3+6*x^2-5*x)+ln(5))","A"
5083,1,22,22,0.245000," ","int(((x*exp(1)+2*x^2-6)*exp(1/6*x^2)+(3*exp(1)^2+12*x*exp(1)+12*x^2)*exp(x)-3*exp(1)^2-12*x*exp(1)-12*x^2)/(3*exp(1)^2+12*x*exp(1)+12*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{x}+\frac{{\mathrm e}^{\frac{x^{2}}{6}}}{{\mathrm e}+2 x}$&$22$\\ norman&$\frac{{\mathrm e} \,{\mathrm e}^{x}-2 x^{2}+2 \,{\mathrm e}^{x} x +\frac{{\mathrm e}^{2}}{2}+{\mathrm e}^{\frac{x^{2}}{6}}}{{\mathrm e}+2 x}$&$38$\\ \hline \end{longtable}"," ",0,"-x+exp(x)+exp(1/6*x^2)/(exp(1)+2*x)","A"
5084,1,23,23,0.078000," ","int(((-x-1)*exp(x)*exp(2/3*x^2+2/3*x)^2+(-8*x^2+6*x+10)*exp(x)*exp(2/3*x^2+2/3*x)+(-16*x-16)*exp(x))/(exp(2/3*x^2+2/3*x)^2-4*exp(2/3*x^2+2/3*x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x} x +\frac{6 x \,{\mathrm e}^{x}}{{\mathrm e}^{\frac{2 \left(x +1\right) x}{3}}-2}$&$23$\\ norman&$\frac{8 \,{\mathrm e}^{x} x -{\mathrm e}^{x} x \,{\mathrm e}^{\frac{2}{3} x^{2}+\frac{2}{3} x}}{{\mathrm e}^{\frac{2}{3} x^{2}+\frac{2}{3} x}-2}$&$37$\\ \hline \end{longtable}"," ",0,"-exp(x)*x+6*x*exp(x)/(exp(2/3*(x+1)*x)-2)","A"
5085,1,63,24,0.059000," ","int((40*x*exp(1/3)*ln(x^2)^4+(720*x^2-80*x)*exp(1/3)*ln(x^2)^3+(4*x^3*exp(1/3)^2+(20*x^4+4280*x^3-1440*x^2)*exp(1/3))*ln(x^2)^2+((24*x^4-8*x^3)*exp(1/3)^2+(8320*x^4-8560*x^3)*exp(1/3))*ln(x^2)+(-2*x^6-48*x^4)*exp(1/3)^2+(-20*x^7-700*x^6-480*x^5-16800*x^4)*exp(1/3))/(ln(x^2)^6+36*x*ln(x^2)^5+(3*x^3+537*x^2)*ln(x^2)^4+(72*x^4+4248*x^3)*ln(x^2)^3+(3*x^6+642*x^5+18795*x^4)*ln(x^2)^2+(36*x^7+2520*x^6+44100*x^5)*ln(x^2)+x^9+105*x^8+3675*x^7+42875*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2} {\mathrm e}^{\frac{1}{3}}+20 x^{3}+700 x^{2}+240 x \ln \left(x^{2}\right)+20 \ln \left(x^{2}\right)^{2}\right) x^{2} {\mathrm e}^{\frac{1}{3}}}{\left(x^{3}+\ln \left(x^{2}\right)^{2}+12 x \ln \left(x^{2}\right)+35 x^{2}\right)^{2}}$&$63$\\ \hline \end{longtable}"," ",0,"(x^2*exp(1/3)+20*x^3+700*x^2+240*x*ln(x^2)+20*ln(x^2)^2)*x^2*exp(1/3)/(x^3+ln(x^2)^2+12*x*ln(x^2)+35*x^2)^2","B"
5086,1,251,24,0.225000," ","int(((x^3-8*x^2+16*x)*ln(3*x*exp(((2*x^2-8*x)*ln(x)-1)/(2*x^2-8*x)))-2*x^3+16*x^2-33*x+2)/(x^3-8*x^2+16*x)/ln(3*x*exp(((2*x^2-8*x)*ln(x)-1)/(2*x^2-8*x)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i x}{\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{2 x^{2} \ln \left(x \right)-8 x \ln \left(x \right)-1}{2 \left(x -4\right) x}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{2 x^{2} \ln \left(x \right)-8 x \ln \left(x \right)-1}{2 \left(x -4\right) x}}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{2 x^{2} \ln \left(x \right)-8 x \ln \left(x \right)-1}{2 \left(x -4\right) x}}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{2 x^{2} \ln \left(x \right)-8 x \ln \left(x \right)-1}{2 \left(x -4\right) x}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{2 x^{2} \ln \left(x \right)-8 x \ln \left(x \right)-1}{2 \left(x -4\right) x}}\right)^{2}+\pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{2 x^{2} \ln \left(x \right)-8 x \ln \left(x \right)-1}{2 \left(x -4\right) x}}\right)^{3}+2 i \ln \left(3\right)+2 i \ln \left(x \right)+2 i \ln \left({\mathrm e}^{\frac{2 x^{2} \ln \left(x \right)-8 x \ln \left(x \right)-1}{2 \left(x -4\right) x}}\right)}$&$251$\\ \hline \end{longtable}"," ",0,"2*I*x/(Pi*csgn(I*x)*csgn(I*exp(1/2*(2*x^2*ln(x)-8*x*ln(x)-1)/(x-4)/x))*csgn(I*x*exp(1/2*(2*x^2*ln(x)-8*x*ln(x)-1)/(x-4)/x))-Pi*csgn(I*x)*csgn(I*x*exp(1/2*(2*x^2*ln(x)-8*x*ln(x)-1)/(x-4)/x))^2-Pi*csgn(I*exp(1/2*(2*x^2*ln(x)-8*x*ln(x)-1)/(x-4)/x))*csgn(I*x*exp(1/2*(2*x^2*ln(x)-8*x*ln(x)-1)/(x-4)/x))^2+Pi*csgn(I*x*exp(1/2*(2*x^2*ln(x)-8*x*ln(x)-1)/(x-4)/x))^3+2*I*ln(3)+2*I*ln(x)+2*I*ln(exp(1/2*(2*x^2*ln(x)-8*x*ln(x)-1)/(x-4)/x)))","C"
5087,1,6,9,0.024000," ","int(-2*ln(4/25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(\frac{4}{25}\right) x$&$6$\\ norman&$\left(-4 \ln \left(2\right)+4 \ln \left(5\right)\right) x$&$12$\\ risch&$4 x \ln \left(5\right)-4 x \ln \left(2\right)$&$12$\\ \hline \end{longtable}"," ",0,"-2*ln(4/25)*x","A"
5088,1,19,16,0.205000," ","int(-10*exp(5)/(20*exp(5)*ln(2)+(20-10*x)*exp(5)-21),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(20 \,{\mathrm e}^{5} \ln \left(2\right)-10 x \,{\mathrm e}^{5}+20 \,{\mathrm e}^{5}-21\right)$&$19$\\ norman&$\ln \left(20 \,{\mathrm e}^{5} \ln \left(2\right)-10 x \,{\mathrm e}^{5}+20 \,{\mathrm e}^{5}-21\right)$&$19$\\ risch&$\ln \left(20 \,{\mathrm e}^{5} \ln \left(2\right)-10 x \,{\mathrm e}^{5}+20 \,{\mathrm e}^{5}-21\right)$&$19$\\ meijerg&$\ln \left(1-\frac{10 x \,{\mathrm e}^{5}}{20 \,{\mathrm e}^{5} \ln \left(2\right)+20 \,{\mathrm e}^{5}-21}\right)$&$23$\\ \hline \end{longtable}"," ",0,"ln(20*exp(5)*ln(2)-10*x*exp(5)+20*exp(5)-21)","A"
5089,1,21,23,0.133000," ","int(((-20*x+50)*exp(1)^2*ln(x)^2+(160*x-400)*exp(1)*ln(x)+(10*x-50)*exp(1)-320*x+800)/(exp(1)^2*ln(x)^2-8*exp(1)*ln(x)+16)/exp(-1/(exp(1)*ln(x)-4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-10 x^{2}+50 x \right) {\mathrm e}^{\frac{1}{{\mathrm e} \ln \left(x \right)-4}}$&$21$\\ norman&$\frac{\left(-200 x +40 x^{2}+50 x \,{\mathrm e} \ln \left(x \right)-10 x^{2} {\mathrm e} \ln \left(x \right)\right) {\mathrm e}^{\frac{1}{{\mathrm e} \ln \left(x \right)-4}}}{{\mathrm e} \ln \left(x \right)-4}$&$50$\\ \hline \end{longtable}"," ",0,"(-10*x^2+50*x)*exp(1/(exp(1)*ln(x)-4))","A"
5090,1,26,13,0.043000," ","int((225*x^8-2800*x^6+12000*x^4-19200*x^2+6401)*exp(25*x^9-400*x^7+2400*x^5-6400*x^3+6401*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{25 x^{9}-400 x^{7}+2400 x^{5}-6400 x^{3}+6401 x}$&$26$\\ derivativedivides&${\mathrm e}^{25 x^{9}-400 x^{7}+2400 x^{5}-6400 x^{3}+6401 x}$&$26$\\ default&${\mathrm e}^{25 x^{9}-400 x^{7}+2400 x^{5}-6400 x^{3}+6401 x}$&$26$\\ norman&${\mathrm e}^{25 x^{9}-400 x^{7}+2400 x^{5}-6400 x^{3}+6401 x}$&$26$\\ risch&${\mathrm e}^{x \left(25 x^{8}-400 x^{6}+2400 x^{4}-6400 x^{2}+6401\right)}$&$26$\\ \hline \end{longtable}"," ",0,"exp(25*x^9-400*x^7+2400*x^5-6400*x^3+6401*x)","A"
5091,1,53,22,0.309000," ","int((((-x*exp(12)*exp(x)-2*exp(12))*exp(exp(x))+(2*x^2+2)*exp(12)*exp(x^2))*exp(ln(x^2)+16)+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -x^{2} \left({\mathrm e}^{x^{2}}-{\mathrm e}^{{\mathrm e}^{x}}\right) {\mathrm e}^{28} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}}$&$53$\\ \hline \end{longtable}"," ",0,"x-x^2*(exp(x^2)-exp(exp(x)))*exp(28)*exp(-1/2*I*Pi*csgn(I*x^2)^3)*exp(-1/2*I*Pi*csgn(I*x)^2*csgn(I*x^2))","C"
5092,1,116,21,0.092000," ","int((((4*x-4)*exp(1/4*x)^2+(-16*x^2+16*x-15)*exp(1/4*x)+16*x^3-16*x^2+24*x+24)*exp(x)+4*exp(1/4*x)^2+(3-16*x)*exp(1/4*x)+16*x^2-24)/(4*x^2*exp(1/4*x)^2+(-16*x^3-24*x)*exp(1/4*x)+16*x^4+48*x^2+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$24 x +\frac{107 x^{4}+162 x^{2}+81}{x^{5}}+\frac{{\mathrm e}^{x}}{x}+\frac{3 \,{\mathrm e}^{\frac{3 x}{4}}}{x^{2}}+\frac{3 \left(2 x^{2}+3\right) {\mathrm e}^{\frac{x}{2}}}{x^{3}}+\frac{3 \left(4 x^{4}+12 x^{2}+9\right) {\mathrm e}^{\frac{x}{4}}}{x^{4}}-\frac{3 \left(16 x^{8}+96 x^{6}+215 x^{4}+216 x^{2}+81\right)}{x^{5} \left(2 x^{2}-x \,{\mathrm e}^{\frac{x}{4}}+3\right)}$&$116$\\ \hline \end{longtable}"," ",0,"24*x+(107*x^4+162*x^2+81)/x^5+exp(x)/x+3/x^2*exp(3/4*x)+3*(2*x^2+3)/x^3*exp(1/2*x)+3*(4*x^4+12*x^2+9)/x^4*exp(1/4*x)-3*(16*x^8+96*x^6+215*x^4+216*x^2+81)/x^5/(2*x^2-x*exp(1/4*x)+3)","B"
5093,1,22,22,0.355000," ","int((12*x^3*ln(2)^2+24*x^9+6*x^4)/(ln(2)^6+(-3*x^6+3*x^2+3*x)*ln(2)^4+(3*x^12-6*x^8-6*x^7+3*x^4+6*x^3+3*x^2)*ln(2)^2-x^18+3*x^14+3*x^13-3*x^10-6*x^9-3*x^8+x^6+3*x^5+3*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 x^{4}}{\left(-x^{6}+\ln \left(2\right)^{2}+x^{2}+x \right)^{2}}$&$22$\\ norman&$\frac{3 x^{4}}{\left(-x^{6}+\ln \left(2\right)^{2}+x^{2}+x \right)^{2}}$&$22$\\ gosper&$\frac{3 x^{4}}{x^{12}-2 x^{6} \ln \left(2\right)^{2}-2 x^{8}-2 x^{7}+\ln \left(2\right)^{4}+2 x^{2} \ln \left(2\right)^{2}+x^{4}+2 x \ln \left(2\right)^{2}+2 x^{3}+x^{2}}$&$62$\\ risch&$\frac{3 x^{4}}{x^{12}-2 x^{6} \ln \left(2\right)^{2}-2 x^{8}-2 x^{7}+\ln \left(2\right)^{4}+2 x^{2} \ln \left(2\right)^{2}+x^{4}+2 x \ln \left(2\right)^{2}+2 x^{3}+x^{2}}$&$62$\\ \hline \end{longtable}"," ",0,"3*x^4/(-x^6+ln(2)^2+x^2+x)^2","A"
5094,1,19,21,0.075000," ","int(1/5*((x+1)*exp(x-2)+200*x+15)*exp(1/5*x*exp(x-2)+20*x^2+3*x+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{x \,{\mathrm e}^{x -2}}{5}+20 x^{2}+3 x +12}$&$19$\\ risch&${\mathrm e}^{\frac{x \,{\mathrm e}^{x -2}}{5}+20 x^{2}+3 x +12}$&$19$\\ \hline \end{longtable}"," ",0,"exp(1/5*x*exp(x-2)+20*x^2+3*x+12)","A"
5095,1,17,16,0.041000," ","int(((2*x*ln(15*x)+2*x)*ln(x*ln(15*x)+x)-x*ln(15*x)-2*x)/(2*ln(15*x)+2)/ln(x*ln(15*x)+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}}{2 \ln \left(x \ln \left(15 x \right)+x \right)}$&$17$\\ \hline \end{longtable}"," ",0,"1/2*x^2/ln(x*ln(15*x)+x)","A"
5096,1,34,26,0.081000," ","int(((-15*exp(x)+12*x+16)*ln(ln(5)+9)-2)/((5*exp(x)-5-6*x)*ln(ln(5)+9)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 x -\ln \left(6 \ln \left(\ln \left(5\right)+9\right) x -5 \ln \left(\ln \left(5\right)+9\right) {\mathrm e}^{x}+5 \ln \left(\ln \left(5\right)+9\right)-1\right)$&$34$\\ risch&$-2 x -\ln \left({\mathrm e}^{x}-\frac{6 \ln \left(\ln \left(5\right)+9\right) x +5 \ln \left(\ln \left(5\right)+9\right)-1}{5 \ln \left(\ln \left(5\right)+9\right)}\right)$&$37$\\ \hline \end{longtable}"," ",0,"-2*x-ln(6*ln(ln(5)+9)*x-5*ln(ln(5)+9)*exp(x)+5*ln(ln(5)+9)-1)","A"
5097,1,37,34,0.083000," ","int(((-x^4+4*x^3+4*x^2-16*x-16)*ln(5)+6*x^7-4*x^6-62*x^5-152*x^4-192*x^3-48*x^2-48*x)/(x^5-4*x^4-4*x^3+16*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{3}+10 x^{2}+42 x +\frac{440 x +520}{x^{2}-2 x -4}-\ln \left(5\right) \ln \left(x \right)$&$37$\\ default&$2 x^{3}+10 x^{2}+42 x -\ln \left(5\right) \ln \left(x \right)-\frac{40 \left(-11 x -13\right)}{x^{2}-2 x -4}$&$38$\\ norman&$\frac{2 x^{5}+6 x^{4}+14 x^{3}+24 x +24}{x^{2}-2 x -4}-\ln \left(5\right) \ln \left(x \right)$&$39$\\ \hline \end{longtable}"," ",0,"2*x^3+10*x^2+42*x+(440*x+520)/(x^2-2*x-4)-ln(5)*ln(x)","A"
5098,1,15,17,0.067000," ","int((-4*x*exp(256-x)^4-x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{1024-4 x}-x -\ln \left(x \right)$&$15$\\ norman&${\mathrm e}^{1024-4 x}-x -\ln \left(x \right)$&$17$\\ derivativedivides&$256-x +256 \ln \left(-x \right)-257 \ln \left(x \right)+{\mathrm e}^{1024-4 x}$&$24$\\ default&$256-x +256 \ln \left(-x \right)-257 \ln \left(x \right)+{\mathrm e}^{1024-4 x}$&$24$\\ \hline \end{longtable}"," ",0,"exp(1024-4*x)-x-ln(x)","A"
5099,1,20,13,0.060000," ","int((-x^2+2)/(x^2*exp(2)-x^3-15*x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(-{\mathrm e}^{2} x +x^{2}+15 x +2\right)-\ln \left(x \right)$&$20$\\ norman&$-\ln \left(x \right)+\ln \left({\mathrm e}^{2} x -x^{2}-15 x -2\right)$&$21$\\ risch&$-\ln \left(-x \right)+\ln \left(2+x^{2}+\left(-{\mathrm e}^{2}+15\right) x \right)$&$22$\\ \hline \end{longtable}"," ",0,"ln(-exp(2)*x+x^2+15*x+2)-ln(x)","A"
5100,1,16,20,0.067000," ","int((-3*exp((3+4*x)/x)+2*x^3+5*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x^{2}+5 x +{\mathrm e}^{4+\frac{3}{x}}$&$16$\\ default&$x^{2}+5 x +{\mathrm e}^{4+\frac{3}{x}}$&$16$\\ risch&$x^{2}+5 x +{\mathrm e}^{\frac{3+4 x}{x}}$&$18$\\ norman&$\frac{x^{3}+{\mathrm e}^{\frac{3+4 x}{x}} x +5 x^{2}}{x}$&$26$\\ \hline \end{longtable}"," ",0,"x^2+5*x+exp(4+3/x)","A"
5101,1,21,26,0.110000," ","int((((x^2-5*x-5)*exp(5)+14*x^2-70*x-70)*exp(x)*ln(x)+(6*exp(5)+84)*exp(x))/((x^2-10*x+25)*ln(x)^2+(2*x-10)*ln(x)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left({\mathrm e}^{5}+14\right) x \,{\mathrm e}^{x}}{x \ln \left(x \right)-5 \ln \left(x \right)+1}$&$21$\\ risch&$\frac{\left({\mathrm e}^{5}+14\right) x \,{\mathrm e}^{x}}{x \ln \left(x \right)-5 \ln \left(x \right)+1}$&$21$\\ \hline \end{longtable}"," ",0,"(exp(5)+14)*x*exp(x)/(x*ln(x)-5*ln(x)+1)","A"
5102,1,19,20,0.242000," ","int(((2*x^2-x)*ln(-2*x^2+x)+(-12*x+3)*exp(5)-4*x^2+x)/((18*x^2-9*x)*exp(5)^2+(12*x^3-6*x^2)*exp(5)+2*x^4-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(-2 x^{2}+x \right)}{x +3 \,{\mathrm e}^{5}}$&$19$\\ risch&$-\frac{\ln \left(-2 x^{2}+x \right)}{x +3 \,{\mathrm e}^{5}}$&$19$\\ default&$\frac{\left(\munderset{\underline{\hspace{1.25 ex}}\alpha  =\RootOf \left(9 \,{\mathrm e}^{10}+6 \textit{\_Z} \,{\mathrm e}^{5}+\textit{\_Z}^{2}\right)}{\sum}\left(\frac{\underline{\hspace{1.25 ex}}\alpha}{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+\frac{3 \,{\mathrm e}^{5}}{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}\right) \left(\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(-2 x^{2}+x \right)-\dilog \left(\frac{x}{\underline{\hspace{1.25 ex}}\alpha}\right)-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{x}{\underline{\hspace{1.25 ex}}\alpha}\right)-\dilog \left(\frac{2 x -1}{2 \underline{\hspace{1.25 ex}}\alpha  -1}\right)-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{2 x -1}{2 \underline{\hspace{1.25 ex}}\alpha  -1}\right)\right)\right)}{18}+\frac{4 \ln \left(x +3 \,{\mathrm e}^{5}\right)}{6 \,{\mathrm e}^{5}+1}+\frac{\ln \left(x +3 \,{\mathrm e}^{5}\right)}{3 \,{\mathrm e}^{5} \left(6 \,{\mathrm e}^{5}+1\right)}-\frac{2 \ln \left(2 x -1\right)}{6 \,{\mathrm e}^{5}+1}-\frac{\ln \left(x \right)}{3 \,{\mathrm e}^{5}}$&$189$\\ \hline \end{longtable}"," ",0,"-ln(-2*x^2+x)/(x+3*exp(5))","A"
5103,1,24,18,0.032000," ","int(((1600*x^2+1600*x)*ln(x)^2+(41760*x^2+41760*x)*ln(x)+20880*x^2+41760*x+20880)/(100*x*ln(x)^2+5220*x*ln(x)+68121*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{160 x \ln \left(x \right)+80 x^{2} \ln \left(x \right)-2088}{10 \ln \left(x \right)+261}$&$24$\\ risch&$8 x^{2}+16 x -\frac{2088 \left(x^{2}+2 x +1\right)}{10 \ln \left(x \right)+261}$&$28$\\ \hline \end{longtable}"," ",0,"(160*x*ln(x)+80*x^2*ln(x)-2088)/(10*ln(x)+261)","A"
5104,1,26,22,0.034000," ","int(1/9*(4*ln(x)+18)*exp(1/9*ln(x)^2)-2*ln(x^2)^2-8*ln(x^2)+12*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$6 x^{2}-2 x \ln \left(x^{2}\right)^{2}+2 \,{\mathrm e}^{\frac{\ln \left(x \right)^{2}}{9}} x$&$26$\\ risch&$6 x^{2}-2 x \ln \left(x^{2}\right)^{2}+2 \,{\mathrm e}^{\frac{\ln \left(x \right)^{2}}{9}} x$&$26$\\ \hline \end{longtable}"," ",0,"6*x^2-2*x*ln(x^2)^2+2*exp(1/9*ln(x)^2)*x","A"
5105,1,44,30,0.396000," ","int(((3*x^3+9*x^2-6*x-6)*ln((x^4+8*x^3+20*x^2+16*x+4)/x^2)-3*x^3-15*x^2+6*x+18)/(x^2+4*x+2)/exp(4)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(3 x \,{\mathrm e}^{-4}-3 x \,{\mathrm e}^{-4} \ln \left(\frac{x^{4}+8 x^{3}+20 x^{2}+16 x +4}{x^{2}}\right)\right) {\mathrm e}^{-x}$&$44$\\ risch&$-6 \ln \left(x^{2}+4 x +2\right) x \,{\mathrm e}^{-x -4}+\frac{3 \left(-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left(x^{2}+4 x +2\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x +2\right)^{2}}{x^{2}}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x +2\right)^{2}}{x^{2}}\right)^{2}+i \pi  \mathrm{csgn}\left(i \left(x^{2}+4 x +2\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+4 x +2\right)^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+4 x +2\right)\right) \mathrm{csgn}\left(i \left(x^{2}+4 x +2\right)^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i \left(x^{2}+4 x +2\right)^{2}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+4 x +2\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x +2\right)^{2}}{x^{2}}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x +2\right)^{2}}{x^{2}}\right)^{3}+4 \ln \left(x \right)+2\right) x \,{\mathrm e}^{-x -4}}{2}$&$300$\\ \hline \end{longtable}"," ",0,"(3*x/exp(4)-3*x/exp(4)*ln((x^4+8*x^3+20*x^2+16*x+4)/x^2))/exp(x)","A"
5106,1,22,23,0.086000," ","int(((x^4+8*x^3+16*x^2)*exp(x)+(-2*x^4-16*x^3-32*x^2)*exp(4)+4*x^4+32*x^3+64*x^2-16*x-32)/(x^4+8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x \,{\mathrm e}^{4}+4 x +\frac{8}{x \left(4+x \right)}+{\mathrm e}^{x}$&$22$\\ default&${\mathrm e}^{x}-\frac{2}{4+x}+\frac{2}{x}+4 x -2 x \,{\mathrm e}^{4}$&$24$\\ norman&$\frac{8+\left(-2 \,{\mathrm e}^{4}+4\right) x^{3}+\left(-64+32 \,{\mathrm e}^{4}\right) x +{\mathrm e}^{x} x^{2}+4 \,{\mathrm e}^{x} x}{\left(4+x \right) x}$&$41$\\ \hline \end{longtable}"," ",0,"-2*x*exp(4)+4*x+8/x/(4+x)+exp(x)","A"
5107,1,23,20,0.052000," ","int((2*(-30*x+30)*ln(3)*ln(5)+3*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{3 x^{3}-30 \ln \left(3\right) \ln \left(5\right)+60 x \ln \left(3\right) \ln \left(5\right)}{x^{2}}$&$23$\\ default&$3 x +\frac{60 \ln \left(3\right) \ln \left(5\right)}{x}-\frac{30 \ln \left(3\right) \ln \left(5\right)}{x^{2}}$&$23$\\ risch&$3 x +\frac{60 x \ln \left(3\right) \ln \left(5\right)-30 \ln \left(3\right) \ln \left(5\right)}{x^{2}}$&$23$\\ norman&$\frac{3 x^{3}-30 \ln \left(3\right) \ln \left(5\right)+60 x \ln \left(3\right) \ln \left(5\right)}{x^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"3*(20*x*ln(3)*ln(5)+x^3-10*ln(3)*ln(5))/x^2","A"
5108,0,0,32,0.101000," ","int(((2*x-2)*ln(1-x)^2*ln(-exp(-1/4*x/ln(1-x))/(x-1))^2+(-4*x*ln(1-x)^2+(-x^2+x)*ln(1-x)+x^2)*ln(-exp(-1/4*x/ln(1-x))/(x-1))+(-4*x^2-2*x+6)*ln(1-x)^2)/(2*x-2)/ln(1-x)^2,x)","\[\int \frac{\left(2 x -2\right) \ln \left(1-x \right)^{2} \ln \left(-\frac{{\mathrm e}^{-\frac{x}{4 \ln \left(1-x \right)}}}{x -1}\right)^{2}+\left(-4 x \ln \left(1-x \right)^{2}+\left(-x^{2}+x \right) \ln \left(1-x \right)+x^{2}\right) \ln \left(-\frac{{\mathrm e}^{-\frac{x}{4 \ln \left(1-x \right)}}}{x -1}\right)+\left(-4 x^{2}-2 x +6\right) \ln \left(1-x \right)^{2}}{\left(2 x -2\right) \ln \left(1-x \right)^{2}}\, dx\]"," ",0,"int(((2*x-2)*ln(1-x)^2*ln(-exp(-1/4*x/ln(1-x))/(x-1))^2+(-4*x*ln(1-x)^2+(-x^2+x)*ln(1-x)+x^2)*ln(-exp(-1/4*x/ln(1-x))/(x-1))+(-4*x^2-2*x+6)*ln(1-x)^2)/(2*x-2)/ln(1-x)^2,x)","F"
5109,1,105,29,0.073000," ","int((((8*x^2+14*x)*ln(2)-40*x^2-70*x)*ln(x)^2+(((-4*x^3+2*x^2-4*x)*ln(2)+20*x^3-10*x^2+20*x)*exp(x)+(-4*x^2-14*x-32)*ln(2)+16*x^4+84*x^3+246*x^2+294*x+160)*ln(x)+((-4*x^3-6*x^2-18*x)*ln(2)+20*x^3+30*x^2+90*x)*exp(x)^2+((-4*x^2-14*x-32)*ln(2)-8*x^5-40*x^4-142*x^3-202*x^2-218*x+160)*exp(x)-8*x^4-56*x^3-226*x^2-448*x-512)/(x*ln(x)^3+3*x*exp(x)*ln(x)^2+3*x*exp(x)^2*ln(x)+x*exp(x)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x^{2} \ln \left(2\right) {\mathrm e}^{x}+4 x^{2} \ln \left(2\right) \ln \left(x \right)+4 x^{4}+14 x \ln \left(2\right) {\mathrm e}^{x}+14 x \ln \left(2\right) \ln \left(x \right)+28 x^{3}-20 \,{\mathrm e}^{x} x^{2}-20 x^{2} \ln \left(x \right)+32 \,{\mathrm e}^{x} \ln \left(2\right)+32 \ln \left(2\right) \ln \left(x \right)+113 x^{2}-70 \,{\mathrm e}^{x} x -70 x \ln \left(x \right)+224 x -160 \,{\mathrm e}^{x}-160 \ln \left(x \right)+256}{\left(\ln \left(x \right)+{\mathrm e}^{x}\right)^{2}}$&$105$\\ \hline \end{longtable}"," ",0,"(4*x^2*ln(2)*exp(x)+4*x^2*ln(2)*ln(x)+4*x^4+14*x*ln(2)*exp(x)+14*x*ln(2)*ln(x)+28*x^3-20*exp(x)*x^2-20*x^2*ln(x)+32*exp(x)*ln(2)+32*ln(2)*ln(x)+113*x^2-70*exp(x)*x-70*x*ln(x)+224*x-160*exp(x)-160*ln(x)+256)/(ln(x)+exp(x))^2","B"
5110,1,7,18,0.021000," ","int(-2/25*x+92/25,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(x -92\right)}{25}$&$7$\\ default&$-\frac{1}{25} x^{2}+\frac{92}{25} x$&$10$\\ norman&$-\frac{1}{25} x^{2}+\frac{92}{25} x$&$10$\\ risch&$-\frac{1}{25} x^{2}+\frac{92}{25} x$&$10$\\ \hline \end{longtable}"," ",0,"-1/25*x*(x-92)","A"
5111,1,18,23,0.030000," ","int(2*exp(15)^2-24*x^2+148*x-144,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$2 x \left({\mathrm e}^{30}-4 x^{2}+37 x -72\right)$&$18$\\ risch&$2 x \,{\mathrm e}^{30}-8 x^{3}+74 x^{2}-144 x$&$20$\\ default&$2 x \,{\mathrm e}^{30}-8 x^{3}+74 x^{2}-144 x$&$22$\\ norman&$\left(2 \,{\mathrm e}^{30}-144\right) x +74 x^{2}-8 x^{3}$&$22$\\ \hline \end{longtable}"," ",0,"2*x*(exp(15)^2-4*x^2+37*x-72)","A"
5112,1,22,19,0.039000," ","int((((x+1)*exp(x+6)+2)*exp(exp(x^2))-2*x^4*exp(x^2)+3*x^2)/exp(exp(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x +6} x +2 x +x^{3} {\mathrm e}^{-{\mathrm e}^{x^{2}}}$&$22$\\ \hline \end{longtable}"," ",0,"exp(x+6)*x+2*x+x^3*exp(-exp(x^2))","A"
5113,1,38,28,0.348000," ","int(((2*x^10+11*x^9-31*x^8-135*x^7+225*x^6-40*x-160)*exp(exp(1))^2+(8*x^9+4*x^8-144*x^7+180*x^6-64)*exp(exp(1))+8*x^8-36*x^7+36*x^6)/((8*x^7+80*x^6+200*x^5)*exp(exp(1))^2+(32*x^6+160*x^5)*exp(exp(1))+32*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4}}{16}-\frac{3 x^{3}}{8}+\frac{9 x^{2}}{16}+\frac{{\mathrm e}^{{\mathrm e}}}{x^{4} \left(x \,{\mathrm e}^{{\mathrm e}}+5 \,{\mathrm e}^{{\mathrm e}}+2\right)}$&$38$\\ norman&$\frac{\left(-\frac{21 \,{\mathrm e}^{{\mathrm e}}}{16}-\frac{3}{4}\right) x^{7}+\left(-\frac{{\mathrm e}^{{\mathrm e}}}{16}+\frac{1}{8}\right) x^{8}+\left(\frac{45 \,{\mathrm e}^{{\mathrm e}}}{16}+\frac{9}{8}\right) x^{6}+\frac{{\mathrm e}^{{\mathrm e}} x^{9}}{16}+{\mathrm e}^{{\mathrm e}}}{x^{4} \left(x \,{\mathrm e}^{{\mathrm e}}+5 \,{\mathrm e}^{{\mathrm e}}+2\right)}$&$64$\\ gosper&$\frac{{\mathrm e}^{{\mathrm e}} x^{9}-{\mathrm e}^{{\mathrm e}} x^{8}-21 \,{\mathrm e}^{{\mathrm e}} x^{7}+2 x^{8}+45 \,{\mathrm e}^{{\mathrm e}} x^{6}-12 x^{7}+18 x^{6}+16 \,{\mathrm e}^{{\mathrm e}}}{16 x^{4} \left(x \,{\mathrm e}^{{\mathrm e}}+5 \,{\mathrm e}^{{\mathrm e}}+2\right)}$&$72$\\ \hline \end{longtable}"," ",0,"1/16*x^4-3/8*x^3+9/16*x^2+exp(exp(1))/x^4/(x*exp(exp(1))+5*exp(exp(1))+2)","A"
5114,1,32,29,0.199000," ","int(((exp(x)*x^2-5*exp(5/x)+2*x^2-x)*exp(exp(5/x))*exp(exp(x)+2*x-2)+10*x*exp(5/x)*exp(exp(5/x))-x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -2 \,{\mathrm e}^{{\mathrm e}^{\frac{5}{x}}}+\frac{{\mathrm e}^{{\mathrm e}^{\frac{5}{x}}+{\mathrm e}^{x}+2 x -2}}{x}$&$32$\\ \hline \end{longtable}"," ",0,"-x-2*exp(exp(5/x))+1/x*exp(exp(5/x)+exp(x)+2*x-2)","A"
5115,1,29,27,0.125000," ","int(1/8*((4*exp(3)-4*x^2-3)*exp(x)+2*(-4*x*exp(3)+4*x^2+3*x)*ln(2))/x^2/ln(2)/exp(1/4*(-4*exp(3)+3)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(8 x \ln \left(2\right)-4 \,{\mathrm e}^{x}\right) {\mathrm e}^{\frac{4 \,{\mathrm e}^{3}-3}{4 x}}}{8 \ln \left(2\right)}$&$29$\\ norman&$\frac{\left(x^{2}-\frac{x \,{\mathrm e}^{x}}{2 \ln \left(2\right)}\right) {\mathrm e}^{-\frac{-4 \,{\mathrm e}^{3}+3}{4 x}}}{x}$&$32$\\ \hline \end{longtable}"," ",0,"1/8/ln(2)*(8*x*ln(2)-4*exp(x))*exp(1/4*(4*exp(3)-3)/x)","A"
5116,1,186,23,0.114000," ","int((((2*x^3+7*x^2+3*x)*ln(3)+2*x)*ln(x)+(2*x^2+3*x)*ln(3)+2)*exp(ln(((-4*x^2-6*x)*ln(3)-4)*ln(x)/ln(3))+x)/((2*x^3+3*x^2)*ln(3)+2*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \left(1+\left(x^{2}+\frac{3}{2} x \right) \ln \left(3\right)\right) \ln \left(x \right) {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(1+\left(x^{2}+\frac{3}{2} x \right) \ln \left(3\right)\right)\right)^{3}}{2}+\frac{i \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(1+\left(x^{2}+\frac{3}{2} x \right) \ln \left(3\right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)}{2}+\frac{i \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(1+\left(x^{2}+\frac{3}{2} x \right) \ln \left(3\right)\right)\right)^{2} \mathrm{csgn}\left(i \left(1+\left(x^{2}+\frac{3}{2} x \right) \ln \left(3\right)\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right) \left(1+\left(x^{2}+\frac{3}{2} x \right) \ln \left(3\right)\right)\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \left(1+\left(x^{2}+\frac{3}{2} x \right) \ln \left(3\right)\right)\right)}{2}-i \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(1+\left(x^{2}+\frac{3}{2} x \right) \ln \left(3\right)\right)\right)^{2}+x}}{\ln \left(3\right)}$&$186$\\ \hline \end{longtable}"," ",0,"-4/ln(3)*(1+(x^2+3/2*x)*ln(3))*ln(x)*exp(1/2*I*Pi*csgn(I*ln(x)*(1+(x^2+3/2*x)*ln(3)))^3+1/2*I*Pi*csgn(I*ln(x)*(1+(x^2+3/2*x)*ln(3)))^2*csgn(I*ln(x))+1/2*I*Pi*csgn(I*ln(x)*(1+(x^2+3/2*x)*ln(3)))^2*csgn(I*(1+(x^2+3/2*x)*ln(3)))-1/2*I*Pi*csgn(I*ln(x)*(1+(x^2+3/2*x)*ln(3)))*csgn(I*ln(x))*csgn(I*(1+(x^2+3/2*x)*ln(3)))-I*Pi*csgn(I*ln(x)*(1+(x^2+3/2*x)*ln(3)))^2+x)","C"
5117,1,157,27,0.130000," ","int(((8*x^3-12*x^2+4*x)*ln(x)^3+((24*x^3-36*x^2+12*x)*exp(x)-24*x^2+16*x)*ln(x)^2+((24*x^3-36*x^2+12*x)*exp(x)^2+(8*x^3-56*x^2+32*x)*exp(x)+8*x^2+8*x)*ln(x)+(8*x^3-12*x^2+4*x)*exp(x)^3+(8*x^3-32*x^2+16*x)*exp(x)^2+(-8*x^2+8*x)*exp(x)-16*x)*exp(((-exp(3)+x^4-2*x^3+x^2)*ln(x)^2+((-2*exp(3)+2*x^4-4*x^3+2*x^2)*exp(x)-4*x^3+4*x^2)*ln(x)+(-exp(3)+x^4-2*x^3+x^2)*exp(x)^2+(-4*x^3+4*x^2)*exp(x)+4*x^2)/(ln(x)^2+2*exp(x)*ln(x)+exp(x)^2))^2/(ln(x)^3+3*exp(x)*ln(x)^2+3*exp(x)^2*ln(x)+exp(x)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 \left(-x^{4} \ln \left(x \right)^{2}-2 x^{4} {\mathrm e}^{x} \ln \left(x \right)+2 x^{3} \ln \left(x \right)^{2}+4 x^{3} {\mathrm e}^{x} \ln \left(x \right)-{\mathrm e}^{2 x} x^{4}-x^{2} \ln \left(x \right)^{2}-2 x^{2} {\mathrm e}^{x} \ln \left(x \right)+4 x^{3} \ln \left(x \right)+4 \,{\mathrm e}^{x} x^{3}+2 \,{\mathrm e}^{2 x} x^{3}+{\mathrm e}^{3} \ln \left(x \right)^{2}+2 \ln \left(x \right) {\mathrm e}^{3+x}-4 x^{2} \ln \left(x \right)-4 \,{\mathrm e}^{x} x^{2}-{\mathrm e}^{2 x} x^{2}+{\mathrm e}^{2 x +3}-4 x^{2}\right)}{\ln \left(x \right)^{2}+2 \,{\mathrm e}^{x} \ln \left(x \right)+{\mathrm e}^{2 x}}}$&$157$\\ \hline \end{longtable}"," ",0,"exp(-2*(-x^4*ln(x)^2-2*x^4*exp(x)*ln(x)+2*x^3*ln(x)^2+4*x^3*exp(x)*ln(x)-exp(2*x)*x^4-x^2*ln(x)^2-2*x^2*exp(x)*ln(x)+4*x^3*ln(x)+4*exp(x)*x^3+2*exp(2*x)*x^3+exp(3)*ln(x)^2+2*ln(x)*exp(3+x)-4*x^2*ln(x)-4*exp(x)*x^2-exp(2*x)*x^2+exp(2*x+3)-4*x^2)/(ln(x)^2+2*exp(x)*ln(x)+exp(2*x)))","B"
5118,1,21,17,0.043000," ","int((((-10*x-25)*ln(x)+2*x^3+5*x^2-10*x-25)*ln(ln(x)-1/5*x^2+1)+2*x^3+10*x^2-5*x-25)/(5*ln(x)-x^2+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x^{2}-5 x \right) \ln \left(\ln \left(x \right)-\frac{x^{2}}{5}+1\right)$&$21$\\ \hline \end{longtable}"," ",0,"(-x^2-5*x)*ln(ln(x)-1/5*x^2+1)","A"
5119,1,35,31,0.066000," ","int(((-2*x^4+20*x^2)*ln(x)+34*x^4+122*x^3+18*x^2-280*x-200)/(x^4*ln(x)^2+(4*x^5-4*x^4-14*x^3+20*x^2)*ln(x)+4*x^6-8*x^5-24*x^4+68*x^3+9*x^2-140*x+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(x^{2}+7 x +10\right) x}{x^{2} \ln \left(x \right)+2 x^{3}-2 x^{2}-7 x +10}$&$35$\\ norman&$\frac{-2 x^{3}-14 x^{2}-20 x}{x^{2} \ln \left(x \right)+2 x^{3}-2 x^{2}-7 x +10}$&$39$\\ \hline \end{longtable}"," ",0,"-2*(x^2+7*x+10)*x/(x^2*ln(x)+2*x^3-2*x^2-7*x+10)","A"
5120,1,21,21,0.113000," ","int((-128*exp(4*x)+16)*exp(2*exp(4*x)-x)*exp(-16*exp(2*exp(4*x)-x)+64)+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x +{\mathrm e}^{-16 \,{\mathrm e}^{2 \,{\mathrm e}^{4 x}-x}+64}$&$21$\\ norman&$4 x +{\mathrm e}^{-16 \,{\mathrm e}^{2 \,{\mathrm e}^{4 x}-x}+64}$&$21$\\ risch&$4 x +{\mathrm e}^{-16 \,{\mathrm e}^{2 \,{\mathrm e}^{4 x}-x}+64}$&$21$\\ \hline \end{longtable}"," ",0,"4*x+exp(-16*exp(2*exp(4*x)-x)+64)","A"
5121,1,3,4,0.009000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
5122,1,30,28,0.102000," ","int(((-40*x*exp(1/5*exp(x))+40*x^2)*ln(exp(1/5*exp(x))-x)+(8*exp(x)*x^2+20)*exp(1/5*exp(x))-40*x^2-20*x)/(5*x^3*ln(2)*exp(1/5*exp(x))-5*x^4*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 \ln \left({\mathrm e}^{\frac{{\mathrm e}^{x}}{5}}-x \right)}{x \ln \left(2\right)}-\frac{2}{\ln \left(2\right) x^{2}}$&$30$\\ \hline \end{longtable}"," ",0,"8/x/ln(2)*ln(exp(1/5*exp(x))-x)-2/ln(2)/x^2","A"
5123,1,20,19,0.351000," ","int(1/16*(-5*x^2-4)*exp(2)*exp(1/16*exp(2)/(x^5+8*x^3+16*x)/ln(3)^2)/(x^8+12*x^6+48*x^4+64*x^2)/ln(3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{2}}{16 \left(x^{2}+4\right)^{2} \ln \left(3\right)^{2} x}}$&$20$\\ gosper&${\mathrm e}^{\frac{{\mathrm e}^{2}}{16 x \left(x^{4}+8 x^{2}+16\right) \ln \left(3\right)^{2}}}$&$25$\\ norman&$\frac{x^{5} \ln \left(3\right) {\mathrm e}^{\frac{{\mathrm e}^{2}}{16 \left(x^{5}+8 x^{3}+16 x \right) \ln \left(3\right)^{2}}}+16 x \ln \left(3\right) {\mathrm e}^{\frac{{\mathrm e}^{2}}{16 \left(x^{5}+8 x^{3}+16 x \right) \ln \left(3\right)^{2}}}+8 x^{3} \ln \left(3\right) {\mathrm e}^{\frac{{\mathrm e}^{2}}{16 \left(x^{5}+8 x^{3}+16 x \right) \ln \left(3\right)^{2}}}}{x \left(x^{2}+4\right)^{2} \ln \left(3\right)}$&$104$\\ \hline \end{longtable}"," ",0,"exp(1/16*exp(2)/(x^2+4)^2/ln(3)^2/x)","A"
5124,1,12,15,0.036000," ","int(((3*x*exp(x)*ln(x)+3*exp(x)*x^2)*ln(x+ln(x))+3*x+3)/((3*x*ln(x)+3*x^2)*ln(x+ln(x))*ln(ln(x+ln(x)))+((3*exp(x)*x-16*x)*ln(x)+3*exp(x)*x^2-16*x^2)*ln(x+ln(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{x}+\ln \left(\ln \left(x +\ln \left(x \right)\right)\right)-\frac{16}{3}\right)$&$12$\\ \hline \end{longtable}"," ",0,"ln(exp(x)+ln(ln(x+ln(x)))-16/3)","A"
5125,1,20,23,0.039000," ","int((((-2*x^3+2*x^2)*exp(x)+4*x^2)*ln(x)^4+(4*exp(x)*x^2+8*x^2)*ln(x)^3+48*exp(x)^3+288*exp(x)^2+576*exp(x)+384)/(x*exp(x)^3+6*x*exp(x)^2+12*exp(x)*x+8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{4} x^{2}}{\left({\mathrm e}^{x}+2\right)^{2}}+48 \ln \left(x \right)$&$20$\\ \hline \end{longtable}"," ",0,"ln(x)^4*x^2/(exp(x)+2)^2+48*ln(x)","A"
5126,1,80,23,0.249000," ","int(((-2000*x^3-14400*x^2-34560*x-24768)*ln(x)^3+(-1800*x^3-8640*x^2-10368*x+864)*exp(2)*ln(x)^2+((-540*x^3-1296*x^2)*exp(2)^2-864*exp(2))*ln(x)-54*x^3*exp(2)^3)/((1000*x^3+7200*x^2+17280*x+13824)*ln(x)^3+(900*x^3+4320*x^2+5184*x)*exp(2)*ln(x)^2+(270*x^3+648*x^2)*exp(2)^2*ln(x)+27*x^3*exp(2)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(25 x^{3}+120 x^{2}+144 x +18\right)}{25 x^{2}+120 x +144}+\frac{108 \left(3 \,{\mathrm e}^{2} x +20 x \ln \left(x \right)+48 \ln \left(x \right)\right) {\mathrm e}^{2} x}{\left(25 x^{2}+120 x +144\right) \left(3 \,{\mathrm e}^{2} x +10 x \ln \left(x \right)+24 \ln \left(x \right)\right)^{2}}$&$80$\\ norman&$\frac{\frac{26928 \ln \left(x \right)^{2}}{5}+\frac{432 x^{2} {\mathrm e}^{4}}{5}+3456 x \ln \left(x \right)^{2}+288 x^{2} {\mathrm e}^{2} \ln \left(x \right)+\frac{6912 x \,{\mathrm e}^{2} \ln \left(x \right)}{5}-18 x^{3} {\mathrm e}^{4}-200 x^{3} \ln \left(x \right)^{2}-120 x^{3} {\mathrm e}^{2} \ln \left(x \right)}{\left(3 \,{\mathrm e}^{2} x +10 x \ln \left(x \right)+24 \ln \left(x \right)\right)^{2}}$&$85$\\ \hline \end{longtable}"," ",0,"-2*(25*x^3+120*x^2+144*x+18)/(25*x^2+120*x+144)+108*(3*exp(2)*x+20*x*ln(x)+48*ln(x))*exp(2)*x/(25*x^2+120*x+144)/(3*exp(2)*x+10*x*ln(x)+24*ln(x))^2","B"
5127,1,33,22,0.030000," ","int((4*x^3*ln(x)^2+(-4*x^3+12*x^2)*ln(x)-4*x^2)*exp((15*x*ln(x)^2+30*ln(x)+2*x^3)/(5*x*ln(x)^2+10*ln(x)))/(5*x^2*ln(x)^4+20*x*ln(x)^3+20*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{15 x \ln \left(x \right)^{2}+30 \ln \left(x \right)+2 x^{3}}{5 \ln \left(x \right) \left(x \ln \left(x \right)+2\right)}}$&$33$\\ \hline \end{longtable}"," ",0,"exp(1/5*(15*x*ln(x)^2+30*ln(x)+2*x^3)/ln(x)/(x*ln(x)+2))","A"
5128,1,15,25,0.030000," ","int((-4*ln(3)-9*x+21)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left(9 x +4 \ln \left(3\right)-12\right) {\mathrm e}^{-x}$&$15$\\ norman&$\left(9 x +4 \ln \left(3\right)-12\right) {\mathrm e}^{-x}$&$15$\\ risch&$\left(9 x +4 \ln \left(3\right)-12\right) {\mathrm e}^{-x}$&$15$\\ default&$-12 \,{\mathrm e}^{-x}+9 x \,{\mathrm e}^{-x}+4 \,{\mathrm e}^{-x} \ln \left(3\right)$&$23$\\ meijerg&$-4 \ln \left(3\right) \left(1-{\mathrm e}^{-x}\right)+12+\frac{9 \left(2 x +2\right) {\mathrm e}^{-x}}{2}-21 \,{\mathrm e}^{-x}$&$32$\\ \hline \end{longtable}"," ",0,"(9*x+4*ln(3)-12)/exp(x)","A"
5129,1,33,21,0.068000," ","int((x^2*ln(x)*ln(ln(x))+(16*exp(exp(5))^2-32*exp(4)*exp(exp(5))+16*exp(4)^2)*ln(x)+x^2)/x^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{16 \,{\mathrm e}^{2 \,{\mathrm e}^{5}}-32 \,{\mathrm e}^{4} {\mathrm e}^{{\mathrm e}^{5}}+16 \,{\mathrm e}^{8}}{x}+x \ln \left(\ln \left(x \right)\right)$&$33$\\ norman&$\frac{x^{2} \ln \left(\ln \left(x \right)\right)-16 \,{\mathrm e}^{8}+32 \,{\mathrm e}^{4} {\mathrm e}^{{\mathrm e}^{5}}-16 \,{\mathrm e}^{2 \,{\mathrm e}^{5}}}{x}$&$33$\\ risch&$x \ln \left(\ln \left(x \right)\right)-\frac{16 \,{\mathrm e}^{8}}{x}+\frac{32 \,{\mathrm e}^{4+{\mathrm e}^{5}}}{x}-\frac{16 \,{\mathrm e}^{2 \,{\mathrm e}^{5}}}{x}$&$34$\\ \hline \end{longtable}"," ",0,"-(16*exp(exp(5))^2-32*exp(4)*exp(exp(5))+16*exp(4)^2)/x+x*ln(ln(x))","A"
5130,1,20,20,0.074000," ","int((((24*x^2-3)*exp(exp(3)+4*x^2)*ln(x)+3*exp(exp(3)+4*x^2))*exp(3*exp(exp(3)+4*x^2)*ln(x)/x)+x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+x^{\frac{3 \,{\mathrm e}^{{\mathrm e}^{3}+4 x^{2}}}{x}}$&$20$\\ \hline \end{longtable}"," ",0,"ln(x)+x^(3*exp(exp(3)+4*x^2)/x)","A"
5131,0,0,21,0.017000," ","int(((-2*ln(2*x^2)-2*x)*ln(ln(2*x^2)+x)+(8*x-7)*ln(2*x^2)+8*x^2-9*x-4)/((4*x^2*ln(2*x^2)+4*x^3)*ln(ln(2*x^2)+x)^2+((-16*x^3+28*x^2)*ln(2*x^2)-16*x^4+28*x^3)*ln(ln(2*x^2)+x)+(16*x^4-56*x^3+49*x^2)*ln(2*x^2)+16*x^5-56*x^4+49*x^3),x)","\[\int \frac{\left(-2 \ln \left(2 x^{2}\right)-2 x \right) \ln \left(\ln \left(2 x^{2}\right)+x \right)+\left(8 x -7\right) \ln \left(2 x^{2}\right)+8 x^{2}-9 x -4}{\left(4 x^{2} \ln \left(2 x^{2}\right)+4 x^{3}\right) \ln \left(\ln \left(2 x^{2}\right)+x \right)^{2}+\left(\left(-16 x^{3}+28 x^{2}\right) \ln \left(2 x^{2}\right)-16 x^{4}+28 x^{3}\right) \ln \left(\ln \left(2 x^{2}\right)+x \right)+\left(16 x^{4}-56 x^{3}+49 x^{2}\right) \ln \left(2 x^{2}\right)+16 x^{5}-56 x^{4}+49 x^{3}}\, dx\]"," ",0,"int(((-2*ln(2*x^2)-2*x)*ln(ln(2*x^2)+x)+(8*x-7)*ln(2*x^2)+8*x^2-9*x-4)/((4*x^2*ln(2*x^2)+4*x^3)*ln(ln(2*x^2)+x)^2+((-16*x^3+28*x^2)*ln(2*x^2)-16*x^4+28*x^3)*ln(ln(2*x^2)+x)+(16*x^4-56*x^3+49*x^2)*ln(2*x^2)+16*x^5-56*x^4+49*x^3),x)","F"
5132,1,22,19,0.191000," ","int(-54*exp(x)*exp((18*exp(x)-3*exp(2)^2+54)/(6*exp(x)-exp(2)^2+15))/(36*exp(x)^2+(-12*exp(2)^2+180)*exp(x)+exp(2)^4-30*exp(2)^2+225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-18 \,{\mathrm e}^{x}+3 \,{\mathrm e}^{4}-54}{-6 \,{\mathrm e}^{x}+{\mathrm e}^{4}-15}}$&$22$\\ norman&$\frac{\left({\mathrm e}^{4}-15\right) {\mathrm e}^{\frac{18 \,{\mathrm e}^{x}-3 \,{\mathrm e}^{4}+54}{6 \,{\mathrm e}^{x}-{\mathrm e}^{4}+15}}-6 \,{\mathrm e}^{x} {\mathrm e}^{\frac{18 \,{\mathrm e}^{x}-3 \,{\mathrm e}^{4}+54}{6 \,{\mathrm e}^{x}-{\mathrm e}^{4}+15}}}{-6 \,{\mathrm e}^{x}+{\mathrm e}^{4}-15}$&$82$\\ \hline \end{longtable}"," ",0,"exp(3*(-6*exp(x)+exp(4)-18)/(-6*exp(x)+exp(4)-15))","A"
5133,1,30,26,0.026000," ","int((5*ln(x)^3+(-10*x^2-5)*ln(x)^2+(-15*x^4-x^2)*ln(x)+5*x^4+x^2)/(400*ln(x)^4+1600*x^2*ln(x)^3+(2400*x^4+160*x^2)*ln(x)^2+(1600*x^6+320*x^4)*ln(x)+400*x^8+160*x^6+16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(x \right)}{80 x^{4}+160 x^{2} \ln \left(x \right)+80 \ln \left(x \right)^{2}+16 x^{2}}$&$30$\\ \hline \end{longtable}"," ",0,"1/16*x*ln(x)/(5*x^4+10*x^2*ln(x)+5*ln(x)^2+x^2)","A"
5134,1,22,19,0.028000," ","int((-x*exp(x)^3+(x+1)*exp(x)^2-2*x^3+66*x^2-544*x)/x/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x \right)-{\mathrm e}^{x}+\left(x^{2}-32 x +256\right) {\mathrm e}^{-2 x}$&$22$\\ norman&$\left(256+x^{2}+x \,{\mathrm e}^{2 x}-32 x -{\mathrm e}^{3 x}\right) {\mathrm e}^{-2 x}+\ln \left(x \right)$&$29$\\ default&$x +\ln \left(x \right)+256 \,{\mathrm e}^{-2 x}-32 x \,{\mathrm e}^{-2 x}+x^{2} {\mathrm e}^{-2 x}-{\mathrm e}^{x}$&$30$\\ \hline \end{longtable}"," ",0,"x+ln(x)-exp(x)+(x^2-32*x+256)*exp(-2*x)","A"
5135,1,13,22,0.027000," ","int(810*ln(2)+405*I*Pi+405,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(810 \ln \left(2\right)+405 i \pi +405\right) x$&$13$\\ norman&$\left(810 \ln \left(2\right)+405 i \pi +405\right) x$&$13$\\ risch&$810 x \ln \left(2\right)+405 i x \pi +405 x$&$15$\\ \hline \end{longtable}"," ",0,"(810*ln(2)+405*I*Pi+405)*x","A"
5136,1,348,33,0.904000," ","int(((x^6+4*x^5+4*x^4-9*x^2)*exp(x)*ln(x^2-x)^2+((2*x^4-3*x^3-x^2+2*x)*exp(x)*exp(x^2)+(-2*x^3-2*x^2+4*x)*exp(x))*ln(x^2-x)+(-2*x^2+x)*exp(x)*exp(x^2)+(-4*x^2+2*x)*exp(x))/((x^7+11*x^6+42*x^5+54*x^4-27*x^3-81*x^2)*ln(x^2-x)^2+((-2*x^4-10*x^3-6*x^2+18*x)*exp(x^2)-4*x^4-20*x^3-12*x^2+36*x)*ln(x^2-x)+(x-1)*exp(x^2)^2+(4*x-4)*exp(x^2)+4*x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{x}}{\left(3+x \right)^{2}}-\frac{2 x \,{\mathrm e}^{x} \left({\mathrm e}^{x^{2}}+2\right)}{\left(x^{2}+6 x +9\right) \left(-i \pi  \,x^{3} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}+6 i \pi  \,x^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}+i \pi  \,x^{3} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}+i \pi  \,x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)+9 i \pi  x \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}-i \pi  \,x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}+9 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)-9 i \pi  x \,\mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}-6 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}+6 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)-9 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}-6 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}-2 x^{3} \ln \left(x \right)-2 x^{3} \ln \left(x -1\right)-12 x^{2} \ln \left(x \right)-12 x^{2} \ln \left(x -1\right)-18 x \ln \left(x \right)-18 \ln \left(x -1\right) x +2 \,{\mathrm e}^{x^{2}}+4\right)}$&$348$\\ \hline \end{longtable}"," ",0,"x/(3+x)^2*exp(x)-2*x*exp(x)*(exp(x^2)+2)/(x^2+6*x+9)/(-I*Pi*x^3*csgn(I*(x-1))*csgn(I*x*(x-1))^2+6*I*Pi*x^2*csgn(I*x*(x-1))^3+I*Pi*x^3*csgn(I*x*(x-1))^3+I*Pi*x^3*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))+9*I*Pi*x*csgn(I*x*(x-1))^3-I*Pi*x^3*csgn(I*x)*csgn(I*x*(x-1))^2+9*I*Pi*x*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))-9*I*Pi*x*csgn(I*(x-1))*csgn(I*x*(x-1))^2-6*I*Pi*x^2*csgn(I*x)*csgn(I*x*(x-1))^2+6*I*Pi*x^2*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))-9*I*Pi*x*csgn(I*x)*csgn(I*x*(x-1))^2-6*I*Pi*x^2*csgn(I*(x-1))*csgn(I*x*(x-1))^2-2*x^3*ln(x)-2*x^3*ln(x-1)-12*x^2*ln(x)-12*x^2*ln(x-1)-18*x*ln(x)-18*ln(x-1)*x+2*exp(x^2)+4)","C"
5137,1,6478,21,2.117000," ","int(((-4*x^2-x)*ln(4*x^2*exp(x)/(16*x^2+8*x+1))^2+(-8*x^3+22*x^2+2*x+12)*ln(4*x^2*exp(x)/(16*x^2+8*x+1)))/(4*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$6478$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
5138,1,25,24,0.225000," ","int((((-625*x^2-5000*x)*exp(5-x)+8)*exp(625*exp(5-x))-4*x^2-64*x-184)/(x^2+16*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \,{\mathrm e}^{625 \,{\mathrm e}^{5-x}}-4 x^{2}+184}{x +8}$&$25$\\ risch&$-\frac{72}{x +8}-4 x +\frac{x \,{\mathrm e}^{625 \,{\mathrm e}^{5-x}}}{x +8}$&$28$\\ \hline \end{longtable}"," ",0,"(x*exp(625*exp(5-x))-4*x^2+184)/(x+8)","A"
5139,1,9,11,0.016000," ","int(1/6*(6*x-5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5}{6 x}+\ln \left(x \right)$&$9$\\ norman&$\frac{5}{6 x}+\ln \left(x \right)$&$9$\\ risch&$\frac{5}{6 x}+\ln \left(x \right)$&$9$\\ \hline \end{longtable}"," ",0,"5/6/x+ln(x)","A"
5140,1,30,16,0.039000," ","int(((30*exp(x)*x-450*x)*ln(x)+(120*x-30)*exp(x)-1350*x-450)/(x*exp(x)^2+(-30*x^2+30*x)*exp(x)+225*x^3-450*x^2+225*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{30 \ln \left(x \right)}{15 x -{\mathrm e}^{x}-15}+\frac{120}{15 x -{\mathrm e}^{x}-15}$&$30$\\ \hline \end{longtable}"," ",0,"30/(15*x-exp(x)-15)*ln(x)+120/(15*x-exp(x)-15)","A"
5141,1,8,12,0.014000," ","int(3*x^2-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{3}-2 x$&$8$\\ default&$x^{3}-2 x$&$8$\\ norman&$x^{3}-2 x$&$8$\\ risch&$x^{3}-2 x$&$8$\\ \hline \end{longtable}"," ",0,"x^3-2*x","A"
5142,1,36,21,0.155000," ","int(((3*x^3+6*x^2-2*x-4)*ln(exp(2)/(2+x))+11*x^3+24*x^2-5*x-14)/((x^4+2*x^3-2*x^2-4*x)*ln(exp(2)/(2+x))+4*x^4+8*x^3-7*x^2-14*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)+\ln \left(\ln \left(\frac{{\mathrm e}^{2}}{2+x}\right) x^{2}+4 x^{2}-2 \ln \left(\frac{{\mathrm e}^{2}}{2+x}\right)-7\right)$&$36$\\ risch&$\ln \left(x^{3}-2 x \right)+\ln \left(\ln \left(\frac{{\mathrm e}^{2}}{2+x}\right)+\frac{4 x^{2}-7}{x^{2}-2}\right)$&$36$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(ln(exp(2)/(2+x))*x^2+4*x^2-2*ln(exp(2)/(2+x))-7)","A"
5143,1,16,15,0.105000," ","int(1/2*((45*x^2-120*x)*exp(15/2*x^3-30*x^2)-2)*exp(exp(15/2*x^3-30*x^2)+2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{15 \left(x -4\right) x^{2}}{2}}-x +2}$&$16$\\ norman&${\mathrm e}^{{\mathrm e}^{\frac{15}{2} x^{3}-30 x^{2}}+2-x}$&$19$\\ \hline \end{longtable}"," ",0,"exp(exp(15/2*(x-4)*x^2)-x+2)","A"
5144,1,31,27,0.152000," ","int((((-x*exp(x+exp(1))*ln(x)-1)*exp(exp(exp(1)))-4*x^2*exp(x+exp(1))*ln(x)-4*x)*ln(1/4*exp(exp(exp(1)))+x)+(x^2*exp(x+exp(1))-x)*ln(x)^2*exp(exp(exp(1)))+(4*x^3*exp(x+exp(1))-4*x^2)*ln(x)^2+4*x*ln(x))/(x*ln(x)^2*exp(exp(exp(1)))+4*x^2*ln(x)^2)/exp(exp(x+exp(1))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x \ln \left(x \right)-\ln \left(\frac{{\mathrm e}^{{\mathrm e}^{{\mathrm e}}}}{4}+x \right)\right) {\mathrm e}^{-{\mathrm e}^{x +{\mathrm e}}}}{\ln \left(x \right)}$&$31$\\ \hline \end{longtable}"," ",0,"-(x*ln(x)-ln(1/4*exp(exp(exp(1)))+x))/ln(x)*exp(-exp(x+exp(1)))","A"
5145,1,50,19,0.170000," ","int((x*ln(4*x*exp(3))^2+(((2*x^2+10*x)*exp(x)+2*x+10)*ln(5+x)+2*exp(x)*x)*ln(4*x*exp(3))+((2*x^2+10*x)*exp(x)^2+(2*x+10)*exp(x)+x^2+5*x)*ln(5+x)+x*exp(x)^2+x^2+4*x)/(x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(5+x \right) \ln \left(4 x \,{\mathrm e}^{3}\right)^{2}+2 \,{\mathrm e}^{x} \ln \left(5+x \right) \ln \left(4 x \,{\mathrm e}^{3}\right)+{\mathrm e}^{2 x} \ln \left(5+x \right)+x \ln \left(5+x \right)+4 \ln \left(5+x \right)$&$50$\\ \hline \end{longtable}"," ",0,"ln(5+x)*ln(4*x*exp(3))^2+2*exp(x)*ln(5+x)*ln(4*x*exp(3))+exp(2*x)*ln(5+x)+x*ln(5+x)+4*ln(5+x)","B"
5146,1,10,17,0.025000," ","int(4*exp(4*x-16)/(exp(4*x-16)+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left({\mathrm e}^{4 x -16}+3\right)$&$10$\\ default&$\ln \left({\mathrm e}^{4 x -16}+3\right)$&$10$\\ norman&$\ln \left({\mathrm e}^{4 x -16}+3\right)$&$10$\\ risch&$16+\ln \left({\mathrm e}^{4 x -16}+3\right)$&$12$\\ \hline \end{longtable}"," ",0,"ln(exp(4*x-16)+3)","A"
5147,1,38,28,0.104000," ","int(((x^2+x+2)*exp(x)-7*x^2)/(x^2*exp(x)*ln(x)+(x^2*exp(1)*exp(2)+x^3+3*x^2-2*x)*exp(x)+7*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)+\frac{\left({\mathrm e}^{3+x} x +{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x} x +7 x -2 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{x}\right)$&$38$\\ norman&$-\ln \left(x \right)-x +\ln \left({\mathrm e}^{2} {\mathrm e} \,{\mathrm e}^{x} x +x \,{\mathrm e}^{x} \ln \left(x \right)+{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x} x -2 \,{\mathrm e}^{x}+7 x \right)$&$43$\\ \hline \end{longtable}"," ",0,"ln(ln(x)+(exp(3+x)*x+exp(x)*x^2+3*exp(x)*x+7*x-2*exp(x))/x*exp(-x))","A"
5148,1,20,24,0.095000," ","int(((-1000*x^2-3000*x-2250)*exp(2/exp(25/x))+6*x^2*exp(25/x))/(20*x^4+60*x^3+45*x^2)/exp(25/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3}{10 \left(x +\frac{3}{2}\right)}-{\mathrm e}^{2 \,{\mathrm e}^{-\frac{25}{x}}}$&$20$\\ norman&$\frac{\left(-\frac{3 x \,{\mathrm e}^{\frac{25}{x}}}{5}-3 \,{\mathrm e}^{\frac{25}{x}} {\mathrm e}^{2 \,{\mathrm e}^{-\frac{25}{x}}} x -2 \,{\mathrm e}^{2 \,{\mathrm e}^{-\frac{25}{x}}} x^{2} {\mathrm e}^{\frac{25}{x}}\right) {\mathrm e}^{-\frac{25}{x}}}{x \left(2 x +3\right)}$&$72$\\ \hline \end{longtable}"," ",0,"-3/10/(x+3/2)-exp(2*exp(-25/x))","A"
5149,1,19,24,0.053000," ","int((x^3*ln(x)^3-3*x^2*ln(x)^2+((32*x-32)*exp(x-625)^2+3*x)*ln(x)-64*exp(x-625)^2-1)/(x^3*ln(x)^3-3*x^2*ln(x)^2+3*x*ln(x)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{16 \,{\mathrm e}^{2 x -1250}}{\left(x \ln \left(x \right)-1\right)^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"x+16*exp(2*x-1250)/(x*ln(x)-1)^2","A"
5150,1,23,18,0.181000," ","int((2*exp(x)*exp(exp(x))*exp(exp(exp(x)))^2+4*exp(x)*exp(exp(x))*exp(exp(exp(x)))+exp(x))*exp(exp(exp(exp(x)))^2+4*exp(exp(exp(x)))+exp(x)+4)*exp(exp(exp(exp(exp(x)))^2+4*exp(exp(exp(x)))+exp(x)+4))+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x +{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{x}}}+4 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}+{\mathrm e}^{x}+4}}$&$23$\\ risch&$3 x +{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{x}}}+4 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}+{\mathrm e}^{x}+4}}$&$23$\\ \hline \end{longtable}"," ",0,"3*x+exp(exp(exp(exp(exp(x)))^2+4*exp(exp(exp(x)))+exp(x)+4))","A"
5151,1,31,17,0.185000," ","int(((exp(1)-4*x+64)*ln(exp(1)^2+(-8*x+128)*exp(1)+16*x^2-512*x+4096)+2*x*exp(1)-8*x^2+120*x)/(12*exp(1)-48*x+768),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{12}+\frac{x \ln \left({\mathrm e}^{2}+\left(-8 x +128\right) {\mathrm e}+16 x^{2}-512 x +4096\right)}{12}$&$31$\\ norman&$\frac{x^{2}}{12}+\frac{x \ln \left({\mathrm e}^{2}+\left(-8 x +128\right) {\mathrm e}+16 x^{2}-512 x +4096\right)}{12}$&$33$\\ default&$\frac{x^{2}}{12}+\frac{\ln \left({\mathrm e}^{2}-8 x \,{\mathrm e}+16 x^{2}+128 \,{\mathrm e}-512 x +4096\right) x}{12}$&$34$\\ \hline \end{longtable}"," ",0,"1/12*x^2+1/12*x*ln(exp(2)+(-8*x+128)*exp(1)+16*x^2-512*x+4096)","A"
5152,1,30,29,0.192000," ","int(((-2*x^3-16*x^2-46*x-32)*ln(-ln(2)/(2*x^2+14*x+32))-2*x^3-11*x^2-8*x+21)/(2*x^6+22*x^5+84*x^4+76*x^3-214*x^2-258*x+288),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(-\frac{\ln \left(2\right)}{2 x^{2}+14 x +32}\right)}{2 x^{2}+4 x -6}$&$30$\\ risch&$\frac{\ln \left(-\frac{\ln \left(2\right)}{2 x^{2}+14 x +32}\right)}{2 x^{2}+4 x -6}$&$30$\\ \hline \end{longtable}"," ",0,"1/2*ln(-ln(2)/(2*x^2+14*x+32))/(x^2+2*x-3)","A"
5153,1,18,12,0.022000," ","int((21*exp(1/exp(7/18))-21)/exp(1/exp(7/18)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$21 \left({\mathrm e}^{{\mathrm e}^{-\frac{7}{18}}}-1\right) {\mathrm e}^{-{\mathrm e}^{-\frac{7}{18}}} x$&$18$\\ default&$\left(21 \,{\mathrm e}^{{\mathrm e}^{-\frac{7}{18}}}-21\right) {\mathrm e}^{-{\mathrm e}^{-\frac{7}{18}}} x$&$19$\\ risch&$21 \,{\mathrm e}^{-{\mathrm e}^{-\frac{7}{18}}} x \,{\mathrm e}^{{\mathrm e}^{-\frac{7}{18}}}-21 \,{\mathrm e}^{-{\mathrm e}^{-\frac{7}{18}}} x$&$21$\\ \hline \end{longtable}"," ",0,"21*(exp(1/exp(7/18))-1)/exp(1/exp(7/18))*x","A"
5154,1,22,22,0.052000," ","int(((-x*exp(x)^3+9*x*exp(x)^2-27*exp(x)*x+27*x)*ln(x)*ln(ln(x))^2-5*x*exp(x)*ln(x)*ln(ln(x))-5*exp(x)+15)/(x*exp(x)^2-6*exp(x)*x+9*x)/ln(x)/ln(ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x -{\mathrm e}^{x}+\frac{5}{\ln \left(\ln \left(x \right)\right) \left({\mathrm e}^{x}-3\right)}$&$22$\\ \hline \end{longtable}"," ",0,"3*x-exp(x)+5/ln(ln(x))/(exp(x)-3)","A"
5155,1,41,25,0.076000," ","int(((8*exp(x)^5-32*x*exp(x)^4+48*x^2*exp(x)^3-32*exp(x)^2*x^3+8*exp(x)*x^4)*exp(x^2)^4+(72*exp(x)^3+(-90*x+27)*exp(x)^2+(-36*x^2-27*x-27)*exp(x)+54*x^3+27*x)*exp(x^2)^2+162*exp(x))/((8*exp(x)^4-32*x*exp(x)^3+48*exp(x)^2*x^2-32*exp(x)*x^3+8*x^4)*exp(x^2)^4+(72*exp(x)^2-144*exp(x)*x+72*x^2)*exp(x^2)^2+162),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x}-\frac{27}{8 \left(2 \,{\mathrm e}^{2 \left(x +1\right) x}-4 x \,{\mathrm e}^{\left(2 x +1\right) x}+2 x^{2} {\mathrm e}^{2 x^{2}}+9\right)}$&$41$\\ \hline \end{longtable}"," ",0,"exp(x)-27/8/(2*exp(2*(x+1)*x)-4*x*exp((2*x+1)*x)+2*x^2*exp(2*x^2)+9)","A"
5156,1,55,24,0.119000," ","int(((2*x^6-18*x^5+54*x^4-54*x^3)*ln(2*x)^2+(2*x^6-18*x^5+54*x^4-48*x^3-18*x^2)*ln(2*x)+(x^5-9*x^4+33*x^3-81*x^2+162*x-162)*exp((x^2-6)/x)-2*x^4+12*x^3-20*x^2)/(x^5-9*x^4+27*x^3-27*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{\frac{x^{2}-6}{x}}+x^{2} \ln \left(2 x \right)^{2}+\frac{1}{\left(x -3\right)^{2}}-2 \ln \left(x -3\right)+2 \ln \left(2 x -6\right)-\frac{4 \ln \left(2 x \right) x}{2 x -6}$&$55$\\ risch&$x^{2} \ln \left(2 x \right)^{2}-\frac{6 \ln \left(2 x \right)}{x -3}-\frac{2 x^{2} \ln \left(x \right)-{\mathrm e}^{\frac{x^{2}-6}{x}} x^{2}-12 x \ln \left(x \right)+6 \,{\mathrm e}^{\frac{x^{2}-6}{x}} x +18 \ln \left(x \right)-9 \,{\mathrm e}^{\frac{x^{2}-6}{x}}-1}{\left(x -3\right)^{2}}$&$88$\\ \hline \end{longtable}"," ",0,"exp((x^2-6)/x)+x^2*ln(2*x)^2+1/(x-3)^2-2*ln(x-3)+2*ln(2*x-6)-4*ln(2*x)*x/(2*x-6)","B"
5157,1,30,18,0.080000," ","int((16*ln(2)+8*x-8)*exp(16*ln(2)^2+2*(8*x-8)*ln(2)-4*exp(1)+4*x^2-8*x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2^{16 x -16} {\mathrm e}^{16 \ln \left(2\right)^{2}+2-4 \,{\mathrm e}+4 x^{2}-8 x}$&$30$\\ gosper&${\mathrm e}^{16 \ln \left(2\right)^{2}+16 x \ln \left(2\right)+4 x^{2}-16 \ln \left(2\right)-4 \,{\mathrm e}-8 x +2}$&$31$\\ derivativedivides&${\mathrm e}^{16 \ln \left(2\right)^{2}+2 \left(8 x -8\right) \ln \left(2\right)-4 \,{\mathrm e}+4 x^{2}-8 x +2}$&$31$\\ norman&${\mathrm e}^{16 \ln \left(2\right)^{2}+2 \left(8 x -8\right) \ln \left(2\right)-4 \,{\mathrm e}+4 x^{2}-8 x +2}$&$31$\\ default&${\mathrm e}^{4 x^{2}+\left(16 \ln \left(2\right)-8\right) x +16 \ln \left(2\right)^{2}-16 \ln \left(2\right)-4 \,{\mathrm e}+2}+\frac{i \left(16 \ln \left(2\right)-8\right) \sqrt{\pi}\, {\mathrm e}^{16 \ln \left(2\right)^{2}-16 \ln \left(2\right)-4 \,{\mathrm e}+2-\frac{\left(16 \ln \left(2\right)-8\right)^{2}}{16}} \erf \left(2 i x +\frac{i \left(16 \ln \left(2\right)-8\right)}{4}\right)}{4}-4 i \ln \left(2\right) \sqrt{\pi}\, {\mathrm e}^{16 \ln \left(2\right)^{2}-16 \ln \left(2\right)-4 \,{\mathrm e}+2-\frac{\left(16 \ln \left(2\right)-8\right)^{2}}{16}} \erf \left(2 i x +\frac{i \left(16 \ln \left(2\right)-8\right)}{4}\right)+2 i \sqrt{\pi}\, {\mathrm e}^{16 \ln \left(2\right)^{2}-16 \ln \left(2\right)-4 \,{\mathrm e}+2-\frac{\left(16 \ln \left(2\right)-8\right)^{2}}{16}} \erf \left(2 i x +\frac{i \left(16 \ln \left(2\right)-8\right)}{4}\right)$&$184$\\ \hline \end{longtable}"," ",0,"2^(16*x-16)*exp(16*ln(2)^2+2-4*exp(1)+4*x^2-8*x)","A"
5158,1,28,22,0.242000," ","int((-exp(5)*ln(5*x)*ln(ln(5*x))+(-24*x^2-24*x-6)*ln(5*x)+(-2*x-1)*exp(5))/(24*x^2+24*x+6)/ln(5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-x -\frac{{\mathrm e}^{5} x \ln \left(\ln \left(5 x \right)\right)}{6}-2 x^{2}}{2 x +1}$&$28$\\ risch&$\frac{{\mathrm e}^{5} \ln \left(\ln \left(5 x \right)\right)}{24 x +12}-x -\frac{{\mathrm e}^{5} \ln \left(\ln \left(5 x \right)\right)}{12}$&$30$\\ \hline \end{longtable}"," ",0,"(-x-1/6*exp(5)*x*ln(ln(5*x))-2*x^2)/(2*x+1)","A"
5159,1,16,17,0.062000," ","int(((-320*x^2-640*x)*exp(x)-7680*x+1600)*exp(-10*exp(x)*x^2-120*x^2+50*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 \,{\mathrm e}^{-20 x \left({\mathrm e}^{x} x +12 x -5\right)}$&$16$\\ norman&$16 \,{\mathrm e}^{-20 \,{\mathrm e}^{x} x^{2}-240 x^{2}+100 x}$&$22$\\ \hline \end{longtable}"," ",0,"16*exp(-20*x*(exp(x)*x+12*x-5))","A"
5160,1,8,16,0.023000," ","int((2*x*ln(x)+2*x-10)*exp((2*x-10)*ln(x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2 x -10}$&$8$\\ norman&${\mathrm e}^{\left(2 x -10\right) \ln \left(x \right)}$&$10$\\ \hline \end{longtable}"," ",0,"x^(2*x-10)","A"
5161,1,20,21,0.137000," ","int((-12*x*ln(x)-24*x+150)/((4*x^3-100*x^2+625*x)*ln(x)^2+((-4*x^2+50*x)*exp(5)+8*x^3-100*x^2)*ln(x)+x*exp(5)^2-4*x^2*exp(5)+4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{6}{-2 x \ln \left(x \right)+{\mathrm e}^{5}-2 x +25 \ln \left(x \right)}$&$20$\\ risch&$-\frac{6}{-2 x \ln \left(x \right)+{\mathrm e}^{5}-2 x +25 \ln \left(x \right)}$&$20$\\ \hline \end{longtable}"," ",0,"-6/(-2*x*ln(x)+exp(5)-2*x+25*ln(x))","A"
5162,1,12,20,0.204000," ","int(4/(4*x^2+12*x+9)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{\ln \left(5\right) \left(x +\frac{3}{2}\right)}$&$12$\\ gosper&$-\frac{2}{\left(2 x +3\right) \ln \left(5\right)}$&$14$\\ default&$-\frac{2}{\left(2 x +3\right) \ln \left(5\right)}$&$14$\\ norman&$-\frac{2}{\left(2 x +3\right) \ln \left(5\right)}$&$14$\\ meijerg&$\frac{4 x}{9 \ln \left(5\right) \left(1+\frac{2 x}{3}\right)}$&$15$\\ \hline \end{longtable}"," ",0,"-1/ln(5)/(x+3/2)","A"
5163,1,44,22,0.087000," ","int((-32*ln(2)^4+(120*x^3+360*x^2+1200*x+960)*ln(2)^2+900*x^6+13500*x^5+63900*x^4+119700*x^3+97200*x^2+28800*x)/(225*x^3+675*x^2+675*x+225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{4}+16 x^{3}+64 x^{2}+\frac{8 x \ln \left(2\right)^{2}}{15}+\frac{16 \ln \left(2\right)^{4}}{225 \left(x +1\right)^{2}}-\frac{56 \ln \left(2\right)^{2}}{15 \left(x +1\right)}$&$44$\\ risch&$x^{4}+\frac{8 x \ln \left(2\right)^{2}}{15}+16 x^{3}+64 x^{2}+\frac{-\frac{56 x \ln \left(2\right)^{2}}{15}+\frac{16 \ln \left(2\right)^{4}}{225}-\frac{56 \ln \left(2\right)^{2}}{15}}{x^{2}+2 x +1}$&$53$\\ norman&$\frac{x^{6}+\left(144+\frac{8 \ln \left(2\right)^{2}}{15}\right) x^{3}+\left(-128-\frac{16 \ln \left(2\right)^{2}}{3}\right) x +97 x^{4}+18 x^{5}-64-\frac{24 \ln \left(2\right)^{2}}{5}+\frac{16 \ln \left(2\right)^{4}}{225}}{\left(x +1\right)^{2}}$&$56$\\ gosper&$\frac{225 x^{6}+120 x^{3} \ln \left(2\right)^{2}+4050 x^{5}+16 \ln \left(2\right)^{4}+21825 x^{4}-1200 x \ln \left(2\right)^{2}+32400 x^{3}-1080 \ln \left(2\right)^{2}-28800 x -14400}{225 x^{2}+450 x +225}$&$66$\\ \hline \end{longtable}"," ",0,"x^4+16*x^3+64*x^2+8/15*x*ln(2)^2+16/225*ln(2)^4/(x+1)^2-56/15*ln(2)^2/(x+1)","A"
5164,1,16,17,0.045000," ","int(1/6561*(x^2-157464*x+6561)*exp(-24*x+4)*exp(1/13122*x^2)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +x \,{\mathrm e}^{-24 x +4+\frac{1}{13122} x^{2}}$&$16$\\ risch&$x +x \,{\mathrm e}^{-24 x +4+\frac{1}{13122} x^{2}}$&$16$\\ norman&$x +{\mathrm e}^{\frac{x^{2}}{13122}} {\mathrm e}^{-24 x +4} x$&$17$\\ \hline \end{longtable}"," ",0,"x+x*exp(-24*x+4+1/13122*x^2)","A"
5165,1,10,16,0.217000," ","int((12*x^2+12*x-17)/(12*x^2+12*x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{5}{3 \left(\frac{1}{2}+x \right)}$&$10$\\ default&$x +\frac{10}{3 \left(2 x +1\right)}$&$12$\\ gosper&$\frac{x \left(6 x -17\right)}{6 x +3}$&$16$\\ norman&$\frac{-\frac{17}{3} x +2 x^{2}}{2 x +1}$&$18$\\ meijerg&$-\frac{23 x}{3 \left(2 x +1\right)}+\frac{x \left(6 x +6\right)}{6 x +3}$&$27$\\ \hline \end{longtable}"," ",0,"x+5/3/(1/2+x)","A"
5166,1,20,16,0.249000," ","int(((16*x^2-144*x+320)*ln((x^2-5*x)/(x-4))-32*x^2+256*x-640)/(3969*x^2-35721*x+79380)/ln((x^2-5*x)/(x-4))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16 x}{3969 \ln \left(\frac{x^{2}-5 x}{x -4}\right)^{2}}$&$20$\\ risch&$\frac{16 x}{3969 \ln \left(\frac{x^{2}-5 x}{x -4}\right)^{2}}$&$20$\\ \hline \end{longtable}"," ",0,"16/3969*x/ln((x^2-5*x)/(x-4))^2","A"
5167,1,22,24,0.059000," ","int(1/3*((-4*x^2+1)*exp(x)-15*x^3+105*x^2-75*x)/exp(x)/exp((2*exp(x)*x^2-15*x^2+75*x)/exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{-x \left(2 \,{\mathrm e}^{x} x -15 x +75\right) {\mathrm e}^{-x}}}{3}$&$22$\\ norman&$\frac{x \,{\mathrm e}^{-\left(2 \,{\mathrm e}^{x} x^{2}-15 x^{2}+75 x \right) {\mathrm e}^{-x}}}{3}$&$28$\\ \hline \end{longtable}"," ",0,"1/3*x*exp(-x*(2*exp(x)*x-15*x+75)*exp(-x))","A"
5168,1,52,34,0.307000," ","int(((2*x^7-3*x^6+18*x^5-27*x^4+54*x^3-81*x^2+54*x-81)*exp((-x^5-2*x^4-6*x^3-8*x^2-9*x-18)/(x^4+6*x^2+9))-x^9-3*x^7-8*x^6+51*x^5+24*x^4+63*x^3+162*x)/(x^6+9*x^4+27*x^2+27)/exp((-x^5-2*x^4-6*x^3-8*x^2-9*x-18)/(x^4+6*x^2+9)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-3 x +\left(-x^{3}+3 x^{2}\right) {\mathrm e}^{\frac{x^{5}+2 x^{4}+6 x^{3}+8 x^{2}+9 x +18}{\left(x^{2}+3\right)^{2}}}$&$52$\\ norman&$\frac{\left(x^{6} {\mathrm e}^{\frac{-x^{5}-2 x^{4}-6 x^{3}-8 x^{2}-9 x -18}{x^{4}+6 x^{2}+9}}-54 \,{\mathrm e}^{\frac{-x^{5}-2 x^{4}-6 x^{3}-8 x^{2}-9 x -18}{x^{4}+6 x^{2}+9}}-27 x^{2} {\mathrm e}^{\frac{-x^{5}-2 x^{4}-6 x^{3}-8 x^{2}-9 x -18}{x^{4}+6 x^{2}+9}}+27 x^{2}-9 x^{3}+18 x^{4}-6 x^{5}+3 x^{6}-x^{7}-27 x \,{\mathrm e}^{\frac{-x^{5}-2 x^{4}-6 x^{3}-8 x^{2}-9 x -18}{x^{4}+6 x^{2}+9}}-18 x^{3} {\mathrm e}^{\frac{-x^{5}-2 x^{4}-6 x^{3}-8 x^{2}-9 x -18}{x^{4}+6 x^{2}+9}}-3 x^{5} {\mathrm e}^{\frac{-x^{5}-2 x^{4}-6 x^{3}-8 x^{2}-9 x -18}{x^{4}+6 x^{2}+9}}\right) {\mathrm e}^{-\frac{-x^{5}-2 x^{4}-6 x^{3}-8 x^{2}-9 x -18}{x^{4}+6 x^{2}+9}}}{\left(x^{2}+3\right)^{2}}$&$339$\\ \hline \end{longtable}"," ",0,"x^2-3*x+(-x^3+3*x^2)*exp((x^5+2*x^4+6*x^3+8*x^2+9*x+18)/(x^2+3)^2)","A"
5169,1,22,25,0.073000," ","int((exp(1/5*x*ln(5/x)^2+16*x^2+x)-ln(5/x)^2+2*ln(5/x)-160*x-5)/exp(1/5*x*ln(5/x)^2+16*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +5 \,{\mathrm e}^{-\frac{x \left(\ln \left(\frac{5}{x}\right)^{2}+80 x +5\right)}{5}}$&$22$\\ default&$x +5 \,{\mathrm e}^{-\frac{x \ln \left(\frac{5}{x}\right)^{2}}{5}-16 x^{2}-x}$&$26$\\ norman&$\left(5+x \,{\mathrm e}^{\frac{x \ln \left(\frac{5}{x}\right)^{2}}{5}+16 x^{2}+x}\right) {\mathrm e}^{-\frac{x \ln \left(\frac{5}{x}\right)^{2}}{5}-16 x^{2}-x}$&$46$\\ \hline \end{longtable}"," ",0,"x+5*exp(-1/5*x*(ln(5/x)^2+80*x+5))","A"
5170,1,30,25,0.048000," ","int(1/5*((-6*x^4+43*x^3)*exp(5)+24*x^4-172*x^3+172*x-1176)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{588}{5}+\left(-\frac{3 \,{\mathrm e}^{5}}{5}+\frac{12}{5}\right) x^{4}+\left(\frac{43 \,{\mathrm e}^{5}}{5}-\frac{172}{5}\right) x^{3}-\frac{172 x}{5}}{x^{2}}$&$30$\\ default&$-\frac{3 x^{2} {\mathrm e}^{5}}{5}+\frac{43 x \,{\mathrm e}^{5}}{5}+\frac{12 x^{2}}{5}-\frac{172 x}{5}-\frac{172}{5 x}+\frac{588}{5 x^{2}}$&$32$\\ risch&$-\frac{3 x^{2} {\mathrm e}^{5}}{5}+\frac{43 x \,{\mathrm e}^{5}}{5}+\frac{12 x^{2}}{5}-\frac{172 x}{5}+\frac{-172 x +588}{5 x^{2}}$&$32$\\ gosper&$-\frac{3 x^{4} {\mathrm e}^{5}-43 x^{3} {\mathrm e}^{5}-12 x^{4}+172 x^{3}+172 x -588}{5 x^{2}}$&$35$\\ \hline \end{longtable}"," ",0,"(588/5+(-3/5*exp(5)+12/5)*x^4+(43/5*exp(5)-172/5)*x^3-172/5*x)/x^2","A"
5171,1,50,19,0.322000," ","int(1/3*(((-2*x^4-4*x^3-6*x^2-4*x-2)*exp(2)+12*x^5+18*x^4+18*x^3+6*x^2)*exp(2/3*exp(2)/x)+48*x^5+72*x^4+72*x^3+24*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{4}+8 x^{3}+12 x^{2}+8 x +\frac{\left(3 x^{4}+6 x^{3}+9 x^{2}+6 x +3\right) {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{3}$&$50$\\ norman&$\frac{x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}+{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}} x^{5}+8 x^{2}+12 x^{3}+8 x^{4}+4 x^{5}+2 \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}} x^{2}+3 \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}} x^{3}+2 \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}} x^{4}}{x}$&$87$\\ derivativedivides&$4 x^{4}+8 x^{3}+12 x^{2}+8 x -\frac{{\mathrm e}^{-2} \left(-162 \,{\mathrm e}^{2} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}+128 \,{\mathrm e}^{10} \left(-\frac{81 \,{\mathrm e}^{-8} x^{4} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{64}-\frac{9 \,{\mathrm e}^{-6} x^{3} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{32}-\frac{3 \,{\mathrm e}^{-4} x^{2} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{32}-\frac{{\mathrm e}^{-2} x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{16}-\frac{\expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)}{24}\right)+288 \,{\mathrm e}^{8} \left(-\frac{9 \,{\mathrm e}^{-6} x^{3} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{8}-\frac{3 \,{\mathrm e}^{-4} x^{2} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{8}-\frac{{\mathrm e}^{-2} x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{4}-\frac{\expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)}{6}\right)-32 \,{\mathrm e}^{10} \left(-\frac{9 \,{\mathrm e}^{-6} x^{3} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{8}-\frac{3 \,{\mathrm e}^{-4} x^{2} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{8}-\frac{{\mathrm e}^{-2} x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{4}-\frac{\expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)}{6}\right)+432 \,{\mathrm e}^{6} \left(-\frac{9 \,{\mathrm e}^{-4} x^{2} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{8}-\frac{3 \,{\mathrm e}^{-2} x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{4}-\frac{\expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)}{2}\right)-96 \,{\mathrm e}^{8} \left(-\frac{9 \,{\mathrm e}^{-4} x^{2} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{8}-\frac{3 \,{\mathrm e}^{-2} x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{4}-\frac{\expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)}{2}\right)+216 \,{\mathrm e}^{4} \left(-\frac{3 \,{\mathrm e}^{-2} x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{2}-\expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)\right)-216 \,{\mathrm e}^{6} \left(-\frac{3 \,{\mathrm e}^{-2} x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{2}-\expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)\right)+216 \,{\mathrm e}^{4} \expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)\right)}{162}$&$438$\\ default&$4 x^{4}+8 x^{3}+12 x^{2}+8 x -\frac{{\mathrm e}^{-2} \left(-162 \,{\mathrm e}^{2} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}+128 \,{\mathrm e}^{10} \left(-\frac{81 \,{\mathrm e}^{-8} x^{4} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{64}-\frac{9 \,{\mathrm e}^{-6} x^{3} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{32}-\frac{3 \,{\mathrm e}^{-4} x^{2} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{32}-\frac{{\mathrm e}^{-2} x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{16}-\frac{\expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)}{24}\right)+288 \,{\mathrm e}^{8} \left(-\frac{9 \,{\mathrm e}^{-6} x^{3} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{8}-\frac{3 \,{\mathrm e}^{-4} x^{2} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{8}-\frac{{\mathrm e}^{-2} x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{4}-\frac{\expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)}{6}\right)-32 \,{\mathrm e}^{10} \left(-\frac{9 \,{\mathrm e}^{-6} x^{3} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{8}-\frac{3 \,{\mathrm e}^{-4} x^{2} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{8}-\frac{{\mathrm e}^{-2} x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{4}-\frac{\expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)}{6}\right)+432 \,{\mathrm e}^{6} \left(-\frac{9 \,{\mathrm e}^{-4} x^{2} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{8}-\frac{3 \,{\mathrm e}^{-2} x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{4}-\frac{\expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)}{2}\right)-96 \,{\mathrm e}^{8} \left(-\frac{9 \,{\mathrm e}^{-4} x^{2} {\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{8}-\frac{3 \,{\mathrm e}^{-2} x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{4}-\frac{\expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)}{2}\right)+216 \,{\mathrm e}^{4} \left(-\frac{3 \,{\mathrm e}^{-2} x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{2}-\expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)\right)-216 \,{\mathrm e}^{6} \left(-\frac{3 \,{\mathrm e}^{-2} x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{2}}{3 x}}}{2}-\expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)\right)+216 \,{\mathrm e}^{4} \expIntegralEi \left(1, -\frac{2 \,{\mathrm e}^{2}}{3 x}\right)\right)}{162}$&$438$\\ \hline \end{longtable}"," ",0,"4*x^4+8*x^3+12*x^2+8*x+1/3*(3*x^4+6*x^3+9*x^2+6*x+3)*exp(2/3*exp(2)/x)","B"
5172,1,25,15,0.073000," ","int(6*exp(1/3*x)^2-2*x*exp(1/3*x)+2*x-6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 \,{\mathrm e}^{\frac{2 x}{3}}-2 \left(3 x -9\right) {\mathrm e}^{\frac{x}{3}}+x^{2}-6 x$&$25$\\ derivativedivides&$x^{2}-6 x +9 \,{\mathrm e}^{\frac{2 x}{3}}-6 x \,{\mathrm e}^{\frac{x}{3}}+18 \,{\mathrm e}^{\frac{x}{3}}$&$29$\\ default&$x^{2}-6 x +9 \,{\mathrm e}^{\frac{2 x}{3}}-6 x \,{\mathrm e}^{\frac{x}{3}}+18 \,{\mathrm e}^{\frac{x}{3}}$&$29$\\ norman&$x^{2}-6 x +9 \,{\mathrm e}^{\frac{2 x}{3}}-6 x \,{\mathrm e}^{\frac{x}{3}}+18 \,{\mathrm e}^{\frac{x}{3}}$&$29$\\ \hline \end{longtable}"," ",0,"9*exp(2/3*x)-2*(3*x-9)*exp(1/3*x)+x^2-6*x","A"
5173,1,12,14,0.166000," ","int((ln(x)*(x^2-x)+2*x-4)/(x^2-2*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\ln \left(x -2\right)+2 \ln \left(\ln \left(x \right)\right)$&$12$\\ norman&$x +\ln \left(x -2\right)+2 \ln \left(\ln \left(x \right)\right)$&$12$\\ risch&$x +\ln \left(x -2\right)+2 \ln \left(\ln \left(x \right)\right)$&$12$\\ \hline \end{longtable}"," ",0,"x+ln(x-2)+2*ln(ln(x))","A"
5174,1,24,19,0.049000," ","int(((2*ln(x)+2)*exp(ln(x)^2+2*ln(x)+1)+27*x*exp(81*exp(2)+81*x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{\ln \left(x \right)^{2}+2 \ln \left(x \right)+1}+\frac{{\mathrm e}^{81 \,{\mathrm e}^{2}+81 x}}{3}$&$24$\\ norman&${\mathrm e}^{\ln \left(x \right)^{2}+2 \ln \left(x \right)+1}+\frac{{\mathrm e}^{81 \,{\mathrm e}^{2}+81 x}}{3}$&$24$\\ risch&$x^{2} {\mathrm e}^{\ln \left(x \right)^{2}+1}+\frac{{\mathrm e}^{81 \,{\mathrm e}^{2}+81 x}}{3}$&$24$\\ \hline \end{longtable}"," ",0,"exp(ln(x)^2+2*ln(x)+1)+1/3*exp(81*exp(2)+81*x)","A"
5175,1,16,16,0.076000," ","int((x^2*exp(exp(1))-4*exp(4/x)+14*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$14 x +x \,{\mathrm e}^{{\mathrm e}}+{\mathrm e}^{\frac{4}{x}}$&$16$\\ default&$14 x +x \,{\mathrm e}^{{\mathrm e}}+{\mathrm e}^{\frac{4}{x}}$&$16$\\ risch&$14 x +x \,{\mathrm e}^{{\mathrm e}}+{\mathrm e}^{\frac{4}{x}}$&$16$\\ norman&$\frac{x \,{\mathrm e}^{\frac{4}{x}}+\left({\mathrm e}^{{\mathrm e}}+14\right) x^{2}}{x}$&$23$\\ \hline \end{longtable}"," ",0,"14*x+x*exp(exp(1))+exp(4/x)","A"
5176,1,34,24,0.039000," ","int(3*x^2*exp(x^3)+(-2*ln(5)+x^2+x-1)*exp(x)+2*ln(5)-3*x^2+2*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{3}}+\left(x^{2}-2 \ln \left(5\right)-x \right) {\mathrm e}^{x}+2 x \ln \left(5\right)-x^{3}+x^{2}+x$&$34$\\ default&$x -{\mathrm e}^{x} x +{\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} \ln \left(5\right)+x^{2}-x^{3}+{\mathrm e}^{x^{3}}+2 x \ln \left(5\right)$&$37$\\ norman&$x^{2}+\left(2 \ln \left(5\right)+1\right) x +{\mathrm e}^{x} x^{2}-x^{3}-{\mathrm e}^{x} x -2 \,{\mathrm e}^{x} \ln \left(5\right)+{\mathrm e}^{x^{3}}$&$39$\\ \hline \end{longtable}"," ",0,"exp(x^3)+(x^2-2*ln(5)-x)*exp(x)+2*x*ln(5)-x^3+x^2+x","A"
5177,1,22,24,0.062000," ","int((2*x^2*ln(x)-x*exp(exp(3)+x)+x^2-2*x-1)*exp(x^2*ln(x)-exp(exp(3)+x)-2*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{x^{2}} {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{3}+x}-2 x}}{x}$&$22$\\ \hline \end{longtable}"," ",0,"1/x*x^(x^2)*exp(-exp(exp(3)+x)-2*x)","A"
5178,1,33,29,0.051000," ","int((-48*ln(2)^2-3*exp(9)+9*x^2-66*x+63)/(16*ln(2)^2+exp(9)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{3 x \left(16 \ln \left(2\right)^{2}-x^{2}+{\mathrm e}^{9}+11 x -21\right)}{16 \ln \left(2\right)^{2}+{\mathrm e}^{9}}$&$33$\\ default&$\frac{-48 x \ln \left(2\right)^{2}-3 x \,{\mathrm e}^{9}+3 x^{3}-33 x^{2}+63 x}{16 \ln \left(2\right)^{2}+{\mathrm e}^{9}}$&$39$\\ norman&$-\frac{33 x^{2}}{16 \ln \left(2\right)^{2}+{\mathrm e}^{9}}+\frac{3 x^{3}}{16 \ln \left(2\right)^{2}+{\mathrm e}^{9}}-\frac{3 \left(16 \ln \left(2\right)^{2}+{\mathrm e}^{9}-21\right) x}{16 \ln \left(2\right)^{2}+{\mathrm e}^{9}}$&$58$\\ risch&$-\frac{48 x \ln \left(2\right)^{2}}{16 \ln \left(2\right)^{2}+{\mathrm e}^{9}}-\frac{3 x \,{\mathrm e}^{9}}{16 \ln \left(2\right)^{2}+{\mathrm e}^{9}}+\frac{3 x^{3}}{16 \ln \left(2\right)^{2}+{\mathrm e}^{9}}-\frac{33 x^{2}}{16 \ln \left(2\right)^{2}+{\mathrm e}^{9}}+\frac{63 x}{16 \ln \left(2\right)^{2}+{\mathrm e}^{9}}$&$82$\\ \hline \end{longtable}"," ",0,"-3*x*(16*ln(2)^2-x^2+exp(9)+11*x-21)/(16*ln(2)^2+exp(9))","A"
5179,1,40,27,0.387000," ","int(((x^2-3)*ln(-x^2+3)^2+((-2*x^2+6)*exp(-x+exp(3))^2+(-2*x^3+2*x^2+6*x-6)*exp(-x+exp(3))+(2*x^2-6)*exp(5)+2*x^3-6*x)*ln(-x^2+3)+((-2*x^2+6)*exp(5)-2*x)*exp(-x+exp(3))^2+((-2*x^3+2*x^2+6*x-6)*exp(5)-4*x^2)*exp(-x+exp(3))+(x^2-3)*exp(5)^2+(2*x^3-6*x)*exp(5)-2*x^3)/((x^2-3)*ln(-x^2+3)^2+(2*x^2-6)*exp(5)*ln(-x^2+3)+(x^2-3)*exp(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x^{2}+2 x \,{\mathrm e}^{-x +{\mathrm e}^{3}}+{\mathrm e}^{-2 x +2 \,{\mathrm e}^{3}}}{{\mathrm e}^{5}+\ln \left(-x^{2}+3\right)}$&$40$\\ \hline \end{longtable}"," ",0,"x+(x^2+2*x*exp(-x+exp(3))+exp(-2*x+2*exp(3)))/(exp(5)+ln(-x^2+3))","A"
5180,1,16,15,0.046000," ","int(((50*x^2+25*x)*exp(2*x)-50*x^2+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-25 x^{2}+25 x \,{\mathrm e}^{2 x}+\ln \left(x \right)$&$16$\\ risch&$-25 x^{2}+25 x \,{\mathrm e}^{2 x}+\ln \left(x \right)$&$16$\\ derivativedivides&$-25 x^{2}+\ln \left(2 x \right)+25 x \,{\mathrm e}^{2 x}$&$18$\\ default&$-25 x^{2}+\ln \left(2 x \right)+25 x \,{\mathrm e}^{2 x}$&$18$\\ \hline \end{longtable}"," ",0,"-25*x^2+25*x*exp(2*x)+ln(x)","A"
5181,1,146,26,0.190000," ","int((-x*exp(3)*exp(x+9)+(-8*x^2-3)*exp(3))/(4*x*ln(2*x^3)^2+(8*x*exp(x+9)+32*x^3+40*x)*ln(2*x^3)+4*x*exp(x+9)^2+(32*x^3+40*x)*exp(x+9)+64*x^5+160*x^3+100*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{i {\mathrm e}^{3}}{2 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-4 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+2 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+2 \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+12 i \ln \left(x \right)+16 i x^{2}+4 i \ln \left(2\right)+4 i {\mathrm e}^{x +9}+20 i}$&$146$\\ \hline \end{longtable}"," ",0,"1/2*I*exp(3)/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2+Pi*csgn(I*x^3)^3+6*I*ln(x)+8*I*x^2+2*I*ln(2)+2*I*exp(x+9)+10*I)","C"
5182,1,28,21,0.090000," ","int((-3*x*ln(5)^2*ln(-x*ln(3)+2*x)^2+(-6*x-8)*ln(5)^2*ln(-x*ln(3)+2*x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-3 x \ln \left(5\right)^{2}-4 \ln \left(5\right)^{2}\right) \ln \left(-x \ln \left(3\right)+2 x \right)^{2}$&$28$\\ norman&$-4 \ln \left(5\right)^{2} \ln \left(-x \ln \left(3\right)+2 x \right)^{2}-3 x \ln \left(5\right)^{2} \ln \left(-x \ln \left(3\right)+2 x \right)^{2}$&$39$\\ derivativedivides&$\frac{3 \ln \left(5\right)^{2} \left(x \left(2-\ln \left(3\right)\right) \ln \left(x \left(2-\ln \left(3\right)\right)\right)^{2}-2 x \left(2-\ln \left(3\right)\right) \ln \left(x \left(2-\ln \left(3\right)\right)\right)+2 x \left(2-\ln \left(3\right)\right)\right)}{\ln \left(3\right)-2}-\frac{4 \ln \left(5\right)^{2} \ln \left(3\right) \ln \left(x \left(2-\ln \left(3\right)\right)\right)^{2}}{\ln \left(3\right)-2}+\frac{6 \ln \left(5\right)^{2} \left(x \left(2-\ln \left(3\right)\right) \ln \left(x \left(2-\ln \left(3\right)\right)\right)-x \left(2-\ln \left(3\right)\right)\right)}{\ln \left(3\right)-2}+\frac{8 \ln \left(5\right)^{2} \ln \left(x \left(2-\ln \left(3\right)\right)\right)^{2}}{\ln \left(3\right)-2}$&$148$\\ default&$\frac{3 \ln \left(5\right)^{2} \left(x \left(2-\ln \left(3\right)\right) \ln \left(x \left(2-\ln \left(3\right)\right)\right)^{2}-2 x \left(2-\ln \left(3\right)\right) \ln \left(x \left(2-\ln \left(3\right)\right)\right)+2 x \left(2-\ln \left(3\right)\right)\right)}{\ln \left(3\right)-2}-\frac{4 \ln \left(5\right)^{2} \ln \left(3\right) \ln \left(x \left(2-\ln \left(3\right)\right)\right)^{2}}{\ln \left(3\right)-2}+\frac{6 \ln \left(5\right)^{2} \left(x \left(2-\ln \left(3\right)\right) \ln \left(x \left(2-\ln \left(3\right)\right)\right)-x \left(2-\ln \left(3\right)\right)\right)}{\ln \left(3\right)-2}+\frac{8 \ln \left(5\right)^{2} \ln \left(x \left(2-\ln \left(3\right)\right)\right)^{2}}{\ln \left(3\right)-2}$&$148$\\ \hline \end{longtable}"," ",0,"(-3*x*ln(5)^2-4*ln(5)^2)*ln(-x*ln(3)+2*x)^2","A"
5183,1,36,23,0.051000," ","int(((-8*x^2+32*x+128)*ln(x)^4+(16*x^2+64*x)*ln(x)^3+(80*x^3-2560*x-5120)*exp(4/x)*ln(x)^2+(-160*x^3-1280*x^2-2560*x)*exp(4/x)*ln(x))/(25*x^5+300*x^4+1200*x^3+1600*x^2)/exp(4/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-\frac{8}{x}} \ln \left(x \right)^{4}}{25 \left(4+x \right)^{2}}-\frac{16 \,{\mathrm e}^{-\frac{4}{x}} \ln \left(x \right)^{2}}{5 \left(4+x \right)}$&$36$\\ \hline \end{longtable}"," ",0,"4/25/(4+x)^2*exp(-8/x)*ln(x)^4-16/5*exp(-4/x)/(4+x)*ln(x)^2","A"
5184,1,48,28,0.119000," ","int(1/5*(-3*x^3*exp(1/5*x/ln(2))+(75*x^7+420*x^6+495*x^5+90*x^4-180*x^3-15*x-150)*ln(2))/x^3/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{15+3 x -36 x^{3}+9 x^{4}+33 x^{5}+21 x^{6}+3 x^{7}-3 x^{2} {\mathrm e}^{\frac{x}{5 \ln \left(2\right)}}}{x^{2}}$&$48$\\ risch&$3 x^{5}+21 x^{4}+33 x^{3}+9 x^{2}-36 x +\frac{15 x \ln \left(2\right)+75 \ln \left(2\right)}{5 \ln \left(2\right) x^{2}}-3 \,{\mathrm e}^{\frac{x}{5 \ln \left(2\right)}}$&$54$\\ derivativedivides&$\frac{-4500 x \ln \left(2\right)^{3}+\frac{1875 \ln \left(2\right)^{3}}{x^{2}}+\frac{375 \ln \left(2\right)^{3}}{x}+1125 x^{2} \ln \left(2\right)^{3}+4125 x^{3} \ln \left(2\right)^{3}+2625 x^{4} \ln \left(2\right)^{3}+375 x^{5} \ln \left(2\right)^{3}-375 \ln \left(2\right)^{3} {\mathrm e}^{\frac{x}{5 \ln \left(2\right)}}}{125 \ln \left(2\right)^{3}}$&$83$\\ default&$\frac{-4500 x \ln \left(2\right)^{3}+\frac{1875 \ln \left(2\right)^{3}}{x^{2}}+\frac{375 \ln \left(2\right)^{3}}{x}+1125 x^{2} \ln \left(2\right)^{3}+4125 x^{3} \ln \left(2\right)^{3}+2625 x^{4} \ln \left(2\right)^{3}+375 x^{5} \ln \left(2\right)^{3}-375 \ln \left(2\right)^{3} {\mathrm e}^{\frac{x}{5 \ln \left(2\right)}}}{125 \ln \left(2\right)^{3}}$&$83$\\ \hline \end{longtable}"," ",0,"(15+3*x-36*x^3+9*x^4+33*x^5+21*x^6+3*x^7-3*x^2*exp(1/5*x/ln(2)))/x^2","A"
5185,1,19,26,0.036000," ","int(1/2*(2*x^4*ln(2*x)+4*x^5-10*x^4-9)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x \ln \left(2 x \right)-6 x +x^{2}+\frac{3}{2 x^{3}}$&$19$\\ default&$x \ln \left(2 x \right)-6 x +x^{2}+\frac{3}{2 x^{3}}$&$19$\\ norman&$\frac{\frac{3}{2}+x^{5}+x^{4} \ln \left(2 x \right)-6 x^{4}}{x^{3}}$&$23$\\ risch&$x \ln \left(2 x \right)+\frac{2 x^{5}-12 x^{4}+3}{2 x^{3}}$&$25$\\ \hline \end{longtable}"," ",0,"x*ln(2*x)-6*x+x^2+3/2/x^3","A"
5186,1,52,30,0.333000," ","int((((2*x+3)*ln(-3*x)+4*x^2-x-3)*ln(1+1/4*exp(5))-25*ln(-3*x)-25*x^2+25)/(ln(-3*x)^2+(-2*x^2+2*x)*ln(-3*x)+x^4-2*x^3+x^2)/ln(1+1/4*exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\ln \left(-3 x \right)-\frac{\left(4 \ln \left(4+{\mathrm e}^{5}\right)-8 \ln \left(2\right)-25\right) x}{-2 \ln \left(2\right)+\ln \left(4+{\mathrm e}^{5}\right)}}{x^{2}-x -\ln \left(-3 x \right)}$&$52$\\ risch&$-\frac{\left(x \ln \left(4+{\mathrm e}^{5}\right)-2 x \ln \left(2\right)+3 \ln \left(4+{\mathrm e}^{5}\right)-6 \ln \left(2\right)-25\right) x}{\left(-2 \ln \left(2\right)+\ln \left(4+{\mathrm e}^{5}\right)\right) \left(x^{2}-x -\ln \left(-3 x \right)\right)}$&$56$\\ derivativedivides&$-\frac{3 \left(-\frac{75 x}{9 x^{2}-9 x -9 \ln \left(-3 x \right)}+\frac{-6 \ln \left(-3 x \right) \ln \left(2\right)-24 x \ln \left(2\right)}{9 x^{2}-9 x -9 \ln \left(-3 x \right)}+\frac{3 \ln \left(-3 x \right) \ln \left(4+{\mathrm e}^{5}\right)+12 x \ln \left(4+{\mathrm e}^{5}\right)}{9 x^{2}-9 x -9 \ln \left(-3 x \right)}\right)}{\ln \left(1+\frac{{\mathrm e}^{5}}{4}\right)}$&$103$\\ default&$\frac{\frac{225 x}{9 x^{2}-9 x -9 \ln \left(-3 x \right)}-\frac{3 \left(-6 \ln \left(-3 x \right) \ln \left(2\right)-24 x \ln \left(2\right)\right)}{9 x^{2}-9 x -9 \ln \left(-3 x \right)}-\frac{3 \left(3 \ln \left(-3 x \right) \ln \left(4+{\mathrm e}^{5}\right)+12 x \ln \left(4+{\mathrm e}^{5}\right)\right)}{9 x^{2}-9 x -9 \ln \left(-3 x \right)}}{\ln \left(1+\frac{{\mathrm e}^{5}}{4}\right)}$&$104$\\ \hline \end{longtable}"," ",0,"(-ln(-3*x)-1/(-2*ln(2)+ln(4+exp(5)))*(4*ln(4+exp(5))-8*ln(2)-25)*x)/(x^2-x-ln(-3*x))","A"
5187,1,19,18,0.033000," ","int(exp(x)+(3*x^2-46*x)*exp(3)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +{\mathrm e}^{3} \left(x^{3}-23 x^{2}\right)+{\mathrm e}^{x}$&$19$\\ norman&$x^{3} {\mathrm e}^{3}-x -23 x^{2} {\mathrm e}^{3}+{\mathrm e}^{x}$&$20$\\ risch&$x^{3} {\mathrm e}^{3}-x -23 x^{2} {\mathrm e}^{3}+{\mathrm e}^{x}$&$20$\\ \hline \end{longtable}"," ",0,"-x+exp(3)*(x^3-23*x^2)+exp(x)","A"
5188,1,30,29,0.111000," ","int(1/50*((-25*ln(x)+25)*exp(1/2*ln(x)/x)+((-4*x^2-4*x)*exp(3-x)-4*x^3+2*x^2)*exp((exp(3-x)-x^2)/x)^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\frac{1}{2 x}}+\frac{x \,{\mathrm e}^{-\frac{2 \left(-{\mathrm e}^{3-x}+x^{2}\right)}{x}}}{25}$&$30$\\ default&${\mathrm e}^{\frac{\ln \left(x \right)}{2 x}}+\frac{x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{3-x}-2 x^{2}}{x}}}{25}$&$32$\\ \hline \end{longtable}"," ",0,"x^(1/2/x)+1/25*x*exp(-2*(-exp(3-x)+x^2)/x)","A"
5189,1,40,24,0.470000," ","int(((-126*x^6*ln(x*exp(5))^8-144*x^6*ln(x*exp(5))^7)*exp(9*x^7*ln(x*exp(5))^8)^2+(126*x^7*ln(x*exp(5))^8+144*x^7*ln(x*exp(5))^7+2)*exp(9*x^7*ln(x*exp(5))^8)-2*x)*exp(-exp(9*x^7*ln(x*exp(5))^8)^2+2*x*exp(9*x^7*ln(x*exp(5))^8)-x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-{\mathrm e}^{18 x^{7} \ln \left(x \,{\mathrm e}^{5}\right)^{8}}+2 x \,{\mathrm e}^{9 x^{7} \ln \left(x \,{\mathrm e}^{5}\right)^{8}}-x^{2}+1}$&$40$\\ \hline \end{longtable}"," ",0,"exp(-exp(18*x^7*ln(x*exp(5))^8)+2*x*exp(9*x^7*ln(x*exp(5))^8)-x^2+1)","A"
5190,1,21,22,0.039000," ","int(1/16*((5*x*exp(5/4*x)-4)*exp(exp(5/4*x))+96*x^7-32*x^3+16*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{6}-x^{2}+x +\frac{{\mathrm e}^{{\mathrm e}^{\frac{5 x}{4}}}}{4 x}$&$21$\\ norman&$\frac{x^{2}+x^{7}-x^{3}+\frac{{\mathrm e}^{{\mathrm e}^{\frac{5 x}{4}}}}{4}}{x}$&$24$\\ \hline \end{longtable}"," ",0,"x^6-x^2+x+1/4*exp(exp(5/4*x))/x","A"
5191,1,36,25,0.234000," ","int(((2*exp(3)+6)*exp(18)*ln(x)+(x*exp(3)^2+6*x*exp(3)+9*x)*exp(18)^2+(32*exp(3)+96)*exp(18))/(x*ln(x)^4+64*x*ln(x)^3+((2*x^2*exp(3)+6*x^2)*exp(18)+1536*x)*ln(x)^2+((64*x^2*exp(3)+192*x^2)*exp(18)+16384*x)*ln(x)+(x^3*exp(3)^2+6*x^3*exp(3)+9*x^3)*exp(18)^2+(512*x^2*exp(3)+1536*x^2)*exp(18)+65536*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-{\mathrm e}^{3} {\mathrm e}^{18}-3 \,{\mathrm e}^{18}}{{\mathrm e}^{3} {\mathrm e}^{18} x +\ln \left(x \right)^{2}+3 \,{\mathrm e}^{18} x +32 \ln \left(x \right)+256}$&$36$\\ risch&$-\frac{{\mathrm e}^{18} {\mathrm e}^{3}}{x \,{\mathrm e}^{21}+3 \,{\mathrm e}^{18} x +\ln \left(x \right)^{2}+32 \ln \left(x \right)+256}-\frac{3 \,{\mathrm e}^{18}}{x \,{\mathrm e}^{21}+3 \,{\mathrm e}^{18} x +\ln \left(x \right)^{2}+32 \ln \left(x \right)+256}$&$54$\\ \hline \end{longtable}"," ",0,"(-exp(3)*exp(18)-3*exp(18))/(exp(3)*exp(18)*x+ln(x)^2+3*exp(18)*x+32*ln(x)+256)","A"
5192,1,21,20,0.050000," ","int(1/5*((10*x^3-20*x^2-104)*exp((2*x+4)/x)*ln(x)+(5*x^3+26*x)*exp((2*x+4)/x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(5 x^{2}+26\right) {\mathrm e}^{\frac{2 x +4}{x}} \ln \left(x \right)}{5}$&$21$\\ norman&$\frac{x^{3} {\mathrm e}^{\frac{2 x +4}{x}} \ln \left(x \right)+\frac{26 x \,{\mathrm e}^{\frac{2 x +4}{x}} \ln \left(x \right)}{5}}{x}$&$37$\\ \hline \end{longtable}"," ",0,"1/5*(5*x^2+26)*exp(2*(2+x)/x)*ln(x)","A"
5193,1,13,19,0.029000," ","int(((2*x^2+2)*exp(x)+x^3+x^2+2*x)/(exp(x)*x^2+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{2}{x}+\ln \left({\mathrm e}^{x}+x \right)$&$13$\\ norman&$\frac{x^{2}-2}{x}+\ln \left({\mathrm e}^{x}+x \right)$&$16$\\ \hline \end{longtable}"," ",0,"x-2/x+ln(exp(x)+x)","A"
5194,1,25,22,0.230000," ","int((((5*x^5+10*x^4+5*x^3+10*x^2)*exp(x)+5*x^3+5*x)*ln(x^2/(x^2+1))^2+4)/(5*x^3+5*x)/ln(x^2/(x^2+1))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\frac{2}{5 \ln \left(\frac{x^{2}}{x^{2}+1}\right)}+{\mathrm e}^{x} x^{2}$&$25$\\ risch&${\mathrm e}^{x} x^{2}+x -\frac{4 i}{5 \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{x^{2}+1}\right) \mathrm{csgn}\left(\frac{i x^{2}}{x^{2}+1}\right)-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{x^{2}+1}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}+1}\right) \mathrm{csgn}\left(\frac{i x^{2}}{x^{2}+1}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i x^{2}}{x^{2}+1}\right)^{3}+4 i \ln \left(x \right)-2 i \ln \left(x^{2}+1\right)\right)}$&$181$\\ \hline \end{longtable}"," ",0,"x-2/5/ln(x^2/(x^2+1))+exp(x)*x^2","A"
5195,1,20,22,0.061000," ","int(((-3*x+2)*ln(3)+x^3+768*x-512)/(x^3*ln(3)-256*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-1+\frac{x^{3}}{\ln \left(3\right)-256}+3 x}{x^{2}}$&$20$\\ gosper&$\frac{x^{3}+3 x \ln \left(3\right)-\ln \left(3\right)-768 x +256}{x^{2} \left(\ln \left(3\right)-256\right)}$&$28$\\ default&$\frac{x -\frac{-3 \ln \left(3\right)+768}{x}-\frac{2 \ln \left(3\right)-512}{2 x^{2}}}{\ln \left(3\right)-256}$&$32$\\ risch&$\frac{x}{\ln \left(3\right)-256}+\frac{\left(3 \ln \left(3\right)^{2}-1536 \ln \left(3\right)+196608\right) x -\ln \left(3\right)^{2}+512 \ln \left(3\right)-65536}{\left(\ln \left(3\right)-256\right)^{2} x^{2}}$&$46$\\ \hline \end{longtable}"," ",0,"(-1+1/(ln(3)-256)*x^3+3*x)/x^2","A"
5196,1,231,23,0.197000," ","int(((4*x+16)*exp((2*x-1)/x)^4*ln(4+x)^4+((4*x^2-48*x-192)*exp((2*x-1)/x)^4+(4*x^3+28*x^2+48*x)*exp((2*x-1)/x)^3)*ln(4+x)^3+((-36*x^2+216*x+864)*exp((2*x-1)/x)^4+(-24*x^3-252*x^2-432*x)*exp((2*x-1)/x)^3+(12*x^4+60*x^3+48*x^2)*exp((2*x-1)/x)^2)*ln(4+x)^2+((108*x^2-432*x-1728)*exp((2*x-1)/x)^4+(36*x^3+756*x^2+1296*x)*exp((2*x-1)/x)^3+(-60*x^4-360*x^3-288*x^2)*exp((2*x-1)/x)^2+(12*x^5+52*x^4+16*x^3)*exp((2*x-1)/x))*ln(4+x)+(-108*x^2+324*x+1296)*exp((2*x-1)/x)^4+(-756*x^2-1296*x)*exp((2*x-1)/x)^3+(72*x^4+540*x^3+432*x^2)*exp((2*x-1)/x)^2+(-32*x^5-156*x^4-48*x^3)*exp((2*x-1)/x)+4*x^6+16*x^5)/(x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{8 x -4}{x}} \ln \left(4+x \right)^{4}+\left(4 \,{\mathrm e}^{\frac{6 x -3}{x}} x -12 \,{\mathrm e}^{\frac{8 x -4}{x}}\right) \ln \left(4+x \right)^{3}+\left(6 \,{\mathrm e}^{\frac{4 x -2}{x}} x^{2}-36 \,{\mathrm e}^{\frac{6 x -3}{x}} x +54 \,{\mathrm e}^{\frac{8 x -4}{x}}\right) \ln \left(4+x \right)^{2}+\left(4 \,{\mathrm e}^{\frac{2 x -1}{x}} x^{3}-36 \,{\mathrm e}^{\frac{4 x -2}{x}} x^{2}+108 \,{\mathrm e}^{\frac{6 x -3}{x}} x -108 \,{\mathrm e}^{\frac{8 x -4}{x}}\right) \ln \left(4+x \right)+x^{4}-12 \,{\mathrm e}^{\frac{2 x -1}{x}} x^{3}+54 \,{\mathrm e}^{\frac{4 x -2}{x}} x^{2}-108 \,{\mathrm e}^{\frac{6 x -3}{x}} x +81 \,{\mathrm e}^{\frac{8 x -4}{x}}$&$231$\\ \hline \end{longtable}"," ",0,"exp(4*(2*x-1)/x)*ln(4+x)^4+(4*exp(3*(2*x-1)/x)*x-12*exp(4*(2*x-1)/x))*ln(4+x)^3+(6*exp(2*(2*x-1)/x)*x^2-36*exp(3*(2*x-1)/x)*x+54*exp(4*(2*x-1)/x))*ln(4+x)^2+(4*exp((2*x-1)/x)*x^3-36*exp(2*(2*x-1)/x)*x^2+108*exp(3*(2*x-1)/x)*x-108*exp(4*(2*x-1)/x))*ln(4+x)+x^4-12*exp((2*x-1)/x)*x^3+54*exp(2*(2*x-1)/x)*x^2-108*exp(3*(2*x-1)/x)*x+81*exp(4*(2*x-1)/x)","B"
5197,1,16,16,0.038000," ","int((2*x+1)*exp(2*x)+15*x^2-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-x +5 x^{3}+x \,{\mathrm e}^{2 x}$&$16$\\ default&$-x +5 x^{3}+x \,{\mathrm e}^{2 x}$&$16$\\ norman&$-x +5 x^{3}+x \,{\mathrm e}^{2 x}$&$16$\\ risch&$-x +5 x^{3}+x \,{\mathrm e}^{2 x}$&$16$\\ \hline \end{longtable}"," ",0,"-x+5*x^3+x*exp(2*x)","A"
5198,1,34,33,0.064000," ","int(((-2*x^3+2*x)*ln(2*ln(2))+(-ln(5)*exp(3+x)+(-4*x+1)*ln(5))*exp(x^2))/ln(5)/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x^{2}+x +\frac{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) x^{2} {\mathrm e}^{-x^{2}}}{\ln \left(5\right)}-{\mathrm e}^{3+x}$&$34$\\ norman&$\left({\mathrm e}^{x^{2}} x +\frac{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) x^{2}}{\ln \left(5\right)}-2 x^{2} {\mathrm e}^{x^{2}}-{\mathrm e}^{x^{2}} {\mathrm e}^{3+x}\right) {\mathrm e}^{-x^{2}}$&$48$\\ default&$\frac{-2 x^{2} \ln \left(5\right)+\ln \left(2\right) {\mathrm e}^{-x^{2}} x^{2}+\ln \left(\ln \left(2\right)\right) {\mathrm e}^{-x^{2}} x^{2}-\ln \left(5\right) {\mathrm e}^{x} {\mathrm e}^{3}+x \ln \left(5\right)}{\ln \left(5\right)}$&$51$\\ \hline \end{longtable}"," ",0,"-2*x^2+x+1/ln(5)*(ln(2)+ln(ln(2)))*x^2*exp(-x^2)-exp(3+x)","A"
5199,1,50,21,0.064000," ","int(1/8*(6*x^4*exp(x^2)^2+(-6*x^4*exp(1/3)-6*x^5-27*x^3+12*x)*exp(x^2)+(3*x^3-12*x)*exp(1/3)+3*x^4-48)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{\frac{1}{3}} x}{8}+\frac{3 x^{2}}{16}+\frac{12 \,{\mathrm e}^{\frac{1}{3}} x +24}{8 x^{2}}+\frac{3 \,{\mathrm e}^{2 x^{2}}}{16}-\frac{3 \left({\mathrm e}^{\frac{1}{3}} x +x^{2}+4\right) {\mathrm e}^{x^{2}}}{8 x}$&$50$\\ default&$\frac{3 x^{2}}{16}+\frac{3}{x^{2}}+\frac{3 \,{\mathrm e}^{\frac{1}{3}}}{2 x}+\frac{3 \,{\mathrm e}^{2 x^{2}}}{16}-\frac{3 \,{\mathrm e}^{x^{2}} x}{8}-\frac{3 \,{\mathrm e}^{x^{2}}}{2 x}-\frac{3 \,{\mathrm e}^{\frac{1}{3}} {\mathrm e}^{x^{2}}}{8}+\frac{3 \,{\mathrm e}^{\frac{1}{3}} x}{8}$&$56$\\ norman&$\frac{3+\frac{3 x^{4}}{16}+\frac{3 x^{2} {\mathrm e}^{2 x^{2}}}{16}+\frac{3 x^{3} {\mathrm e}^{\frac{1}{3}}}{8}-\frac{3 x^{3} {\mathrm e}^{x^{2}}}{8}+\frac{3 \,{\mathrm e}^{\frac{1}{3}} x}{2}-\frac{3 \,{\mathrm e}^{x^{2}} x}{2}-\frac{3 x^{2} {\mathrm e}^{\frac{1}{3}} {\mathrm e}^{x^{2}}}{8}}{x^{2}}$&$62$\\ \hline \end{longtable}"," ",0,"3/8*exp(1/3)*x+3/16*x^2+1/8*(12*exp(1/3)*x+24)/x^2+3/16*exp(2*x^2)-3/8*(exp(1/3)*x+x^2+4)/x*exp(x^2)","B"
5200,1,7,13,0.021000," ","int((x-2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -2 \ln \left(x \right)$&$7$\\ norman&$x -2 \ln \left(x \right)$&$7$\\ risch&$x -2 \ln \left(x \right)$&$7$\\ \hline \end{longtable}"," ",0,"x-2*ln(x)","A"
5201,1,66,25,0.402000," ","int(((2*x^6+2*x^4-x^3)*exp(4*exp(1)-48)^3+(-6*x^5-6*x^3-x^2)*exp(4*exp(1)-48)^2+(6*x^4+6*x^2)*exp(4*exp(1)-48)-2*x^3-2*x)*exp(((x^4+x)*exp(4*exp(1)-48)^2-2*x^3*exp(4*exp(1)-48)+x^2)/(x^2*exp(4*exp(1)-48)^2-2*x*exp(4*exp(1)-48)+1))/(16*x^3*exp(4*exp(1)-48)^3-48*x^2*exp(4*exp(1)-48)^2+48*x*exp(4*exp(1)-48)-16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{\frac{x \left({\mathrm e}^{8 \,{\mathrm e}-96} x^{3}-2 x^{2} {\mathrm e}^{4 \,{\mathrm e}-48}+{\mathrm e}^{8 \,{\mathrm e}-96}+x \right)}{x^{2} {\mathrm e}^{8 \,{\mathrm e}-96}-2 x \,{\mathrm e}^{4 \,{\mathrm e}-48}+1}}}{16}$&$66$\\ gosper&$\frac{x^{2} {\mathrm e}^{\frac{x \left({\mathrm e}^{8 \,{\mathrm e}-96} x^{3}-2 x^{2} {\mathrm e}^{4 \,{\mathrm e}-48}+{\mathrm e}^{8 \,{\mathrm e}-96}+x \right)}{x^{2} {\mathrm e}^{8 \,{\mathrm e}-96}-2 x \,{\mathrm e}^{4 \,{\mathrm e}-48}+1}}}{16}$&$72$\\ norman&$\frac{\frac{x^{2} {\mathrm e}^{\frac{\left(x^{4}+x \right) {\mathrm e}^{8 \,{\mathrm e}-96}-2 x^{3} {\mathrm e}^{4 \,{\mathrm e}-48}+x^{2}}{x^{2} {\mathrm e}^{8 \,{\mathrm e}-96}-2 x \,{\mathrm e}^{4 \,{\mathrm e}-48}+1}}}{16}-\frac{x^{3} {\mathrm e}^{4 \,{\mathrm e}} {\mathrm e}^{-48} {\mathrm e}^{\frac{\left(x^{4}+x \right) {\mathrm e}^{8 \,{\mathrm e}-96}-2 x^{3} {\mathrm e}^{4 \,{\mathrm e}-48}+x^{2}}{x^{2} {\mathrm e}^{8 \,{\mathrm e}-96}-2 x \,{\mathrm e}^{4 \,{\mathrm e}-48}+1}}}{8}+\frac{{\mathrm e}^{8 \,{\mathrm e}} {\mathrm e}^{-96} x^{4} {\mathrm e}^{\frac{\left(x^{4}+x \right) {\mathrm e}^{8 \,{\mathrm e}-96}-2 x^{3} {\mathrm e}^{4 \,{\mathrm e}-48}+x^{2}}{x^{2} {\mathrm e}^{8 \,{\mathrm e}-96}-2 x \,{\mathrm e}^{4 \,{\mathrm e}-48}+1}}}{16}}{\left(x \,{\mathrm e}^{4 \,{\mathrm e}-48}-1\right)^{2}}$&$227$\\ \hline \end{longtable}"," ",0,"1/16*x^2*exp(x*(exp(8*exp(1)-96)*x^3-2*x^2*exp(4*exp(1)-48)+exp(8*exp(1)-96)+x)/(x^2*exp(8*exp(1)-96)-2*x*exp(4*exp(1)-48)+1))","B"
5202,1,28,27,0.508000," ","int((-3*x*exp((-2*x*ln(2)-2*exp(4)+2*exp(1)+2*x)/x)^2+(2*exp(4)-2*exp(1)+x)*exp((-2*x*ln(2)-2*exp(4)+2*exp(1)+2*x)/x))/(9*x*exp((-2*x*ln(2)-2*exp(4)+2*exp(1)+2*x)/x)^2-6*x*exp((-2*x*ln(2)-2*exp(4)+2*exp(1)+2*x)/x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{3}-\frac{x}{3 \left(\frac{3 \,{\mathrm e}^{\frac{2 \,{\mathrm e}+2 x -2 \,{\mathrm e}^{4}}{x}}}{4}-1\right)}$&$28$\\ norman&$-\frac{x \,{\mathrm e}^{\frac{-2 x \ln \left(2\right)-2 \,{\mathrm e}^{4}+2 \,{\mathrm e}+2 x}{x}}}{3 \,{\mathrm e}^{\frac{-2 x \ln \left(2\right)-2 \,{\mathrm e}^{4}+2 \,{\mathrm e}+2 x}{x}}-1}$&$54$\\ \hline \end{longtable}"," ",0,"-1/3*x-1/3*x/(3/4*exp(2*(exp(1)+x-exp(4))/x)-1)","A"
5203,1,11,10,0.026000," ","int((96-9*x)/(x^5-32*x^4+256*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{3}{x^{2} \left(x -16\right)}$&$11$\\ norman&$\frac{3}{x^{2} \left(x -16\right)}$&$11$\\ risch&$\frac{3}{x^{2} \left(x -16\right)}$&$11$\\ default&$\frac{3}{256 \left(x -16\right)}-\frac{3}{16 x^{2}}-\frac{3}{256 x}$&$19$\\ \hline \end{longtable}"," ",0,"3/x^2/(x-16)","A"
5204,1,5,11,0.021000," ","int(4*exp(x)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{4 x}$&$5$\\ derivativedivides&${\mathrm e}^{4 x}$&$5$\\ default&${\mathrm e}^{4 x}$&$5$\\ norman&${\mathrm e}^{4 x}$&$5$\\ risch&${\mathrm e}^{4 x}$&$5$\\ meijerg&${\mathrm e}^{4 x}-1$&$7$\\ \hline \end{longtable}"," ",0,"exp(x)^4","A"
5205,1,405,26,0.242000," ","int((((3*x^2-30*x+75)*exp(4*x)+2*x-10)*ln(((3*x^2-15*x)*exp(4*x)+2*x)*exp(exp(1))/(x-5))+((12*x^3-117*x^2+270*x+75)*exp(4*x)-10)*ln(x))/((15*x^3-150*x^2+375*x)*exp(4*x)+10*x^2-50*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right) \ln \left(x \,{\mathrm e}^{4 x}-5 \,{\mathrm e}^{4 x}+\frac{2}{3}\right)}{5}-\frac{\ln \left(x \right) \ln \left(x -5\right)}{5}+\frac{\ln \left(x \right)^{2}}{5}+\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4 x}-5 \,{\mathrm e}^{4 x}+\frac{2}{3}\right)}{x -5}\right)^{2}}{10}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4 x}-5 \,{\mathrm e}^{4 x}+\frac{2}{3}\right)}{x -5}\right) \mathrm{csgn}\left(\frac{i x \left(x \,{\mathrm e}^{4 x}-5 \,{\mathrm e}^{4 x}+\frac{2}{3}\right)}{x -5}\right)}{10}+\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4 x}-5 \,{\mathrm e}^{4 x}+\frac{2}{3}\right)}{x -5}\right) \mathrm{csgn}\left(\frac{i x \left(x \,{\mathrm e}^{4 x}-5 \,{\mathrm e}^{4 x}+\frac{2}{3}\right)}{x -5}\right)^{2}}{10}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4 x}-5 \,{\mathrm e}^{4 x}+\frac{2}{3}\right)}{x -5}\right)^{3}}{10}+\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4 x}-5 \,{\mathrm e}^{4 x}+\frac{2}{3}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4 x}-5 \,{\mathrm e}^{4 x}+\frac{2}{3}\right)}{x -5}\right)^{2}}{10}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i x \left(x \,{\mathrm e}^{4 x}-5 \,{\mathrm e}^{4 x}+\frac{2}{3}\right)}{x -5}\right)^{3}}{10}+\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(x \,{\mathrm e}^{4 x}-5 \,{\mathrm e}^{4 x}+\frac{2}{3}\right)}{x -5}\right)^{2}}{10}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4 x}-5 \,{\mathrm e}^{4 x}+\frac{2}{3}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4 x}-5 \,{\mathrm e}^{4 x}+\frac{2}{3}\right)}{x -5}\right)}{10}+\frac{\ln \left(3\right) \ln \left(x \right)}{5}+\frac{{\mathrm e} \ln \left(x \right)}{5}$&$405$\\ \hline \end{longtable}"," ",0,"1/5*ln(x)*ln(x*exp(4*x)-5*exp(4*x)+2/3)-1/5*ln(x)*ln(x-5)+1/5*ln(x)^2+1/10*I*Pi*ln(x)*csgn(I/(x-5))*csgn(I/(x-5)*(x*exp(4*x)-5*exp(4*x)+2/3))^2-1/10*I*Pi*ln(x)*csgn(I*x)*csgn(I/(x-5)*(x*exp(4*x)-5*exp(4*x)+2/3))*csgn(I*x/(x-5)*(x*exp(4*x)-5*exp(4*x)+2/3))+1/10*I*Pi*ln(x)*csgn(I/(x-5)*(x*exp(4*x)-5*exp(4*x)+2/3))*csgn(I*x/(x-5)*(x*exp(4*x)-5*exp(4*x)+2/3))^2-1/10*I*Pi*ln(x)*csgn(I/(x-5)*(x*exp(4*x)-5*exp(4*x)+2/3))^3+1/10*I*Pi*ln(x)*csgn(I*(x*exp(4*x)-5*exp(4*x)+2/3))*csgn(I/(x-5)*(x*exp(4*x)-5*exp(4*x)+2/3))^2-1/10*I*Pi*ln(x)*csgn(I*x/(x-5)*(x*exp(4*x)-5*exp(4*x)+2/3))^3+1/10*I*Pi*ln(x)*csgn(I*x)*csgn(I*x/(x-5)*(x*exp(4*x)-5*exp(4*x)+2/3))^2-1/10*I*Pi*ln(x)*csgn(I/(x-5))*csgn(I*(x*exp(4*x)-5*exp(4*x)+2/3))*csgn(I/(x-5)*(x*exp(4*x)-5*exp(4*x)+2/3))+1/5*ln(3)*ln(x)+1/5*exp(1)*ln(x)","C"
5206,1,23,24,0.079000," ","int(((-10*ln(x)+10)*exp(2*ln(x)/x)*exp(exp(2*ln(x)/x))+5*exp(x)*x^2+5*x^2+5*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x +5 \ln \left(x \right)+5 \,{\mathrm e}^{x}+5 \,{\mathrm e}^{x^{\frac{2}{x}}}$&$23$\\ \hline \end{longtable}"," ",0,"5*x+5*ln(x)+5*exp(x)+5*exp(x^(2/x))","A"
5207,1,65,14,0.190000," ","int((-30*x*ln(x^2)+(60*x+90)*ln(2*x+3))/(2*x^2+3*x)/ln(2*x+3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{30 \ln \left(x \right)-\frac{15 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}+15 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\frac{15 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}}{\ln \left(2 x +3\right)}$&$65$\\ \hline \end{longtable}"," ",0,"15/2*(4*ln(x)-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3)/ln(2*x+3)","C"
5208,1,35897,30,30.417000," ","int(1/625*((-ln(6/5/x^2)+2)*ln(x^2)^8+16*ln(6/5/x^2)*ln(x^2)^7+40*x*ln(x^2)^6+240*x*ln(6/5/x^2)*ln(x^2)^5+(150*x^2*ln(6/5/x^2)+300*x^2-100*x)*ln(x^2)^4+(1200*x^2-400*x)*ln(6/5/x^2)*ln(x^2)^3+((1000*x^3-500*x^2)*ln(6/5/x^2)+1000*x^3-1000*x^2)*ln(x^2)^2+(2000*x^3-2000*x^2)*ln(6/5/x^2)*ln(x^2)+(1875*x^4-2500*x^3+625*x^2)*ln(6/5/x^2)+1250*x^4-2500*x^3+1250*x^2)/x^2/ln(6/5/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$35897$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
5209,1,93,26,0.072000," ","int((((-2*x^2-3*x)*exp(x)^2+(-2*x^3-8*x^2-6*x)*exp(x)-3*x^3-6*x^2-4*x)*ln(x)+(2*x^3-2*x^2-6*x+1)*exp(x)^2+(2*x^4+2*x^3-12*x^2-10*x+2)*exp(x)+2*x^4-2*x^3-9*x^2-5*x+1)/((5*x^3+10*x^2+5*x)*exp(x)^4+(20*x^4+60*x^3+60*x^2+20*x)*exp(x)^3+(30*x^5+120*x^4+190*x^3+130*x^2+30*x)*exp(x)^2+(20*x^6+100*x^5+220*x^4+240*x^3+120*x^2+20*x)*exp(x)+5*x^7+30*x^6+85*x^5+130*x^4+110*x^3+40*x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{5 x \,{\mathrm e}^{2 x}+10 \,{\mathrm e}^{x} x^{2}+5 x^{3}+5 \,{\mathrm e}^{2 x}+20 \,{\mathrm e}^{x} x +15 x^{2}+10 \,{\mathrm e}^{x}+20 x +5}-\frac{x -2}{5 \left(x \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x^{2}+x^{3}+{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x} x +3 x^{2}+2 \,{\mathrm e}^{x}+4 x +1\right)}$&$93$\\ \hline \end{longtable}"," ",0,"1/5/(x*exp(2*x)+2*exp(x)*x^2+x^3+exp(2*x)+4*exp(x)*x+3*x^2+2*exp(x)+4*x+1)*ln(x)-1/5*(x-2)/(x*exp(2*x)+2*exp(x)*x^2+x^3+exp(2*x)+4*exp(x)*x+3*x^2+2*exp(x)+4*x+1)","B"
5210,1,24,30,0.078000," ","int((-2*x*exp(x)^2*exp(1/3*(6*ln(2)+x*exp(4))/exp(4))^2*ln(x)+(3*exp(x)^2+(25*x^2-15*x)*exp(x))*exp(1/3*(6*ln(2)+x*exp(4))/exp(4))^2)/(3*x*exp(x)^2*ln(x)^2-30*x^2*exp(x)*ln(x)+75*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2^{4 \,{\mathrm e}^{-4}} {\mathrm e}^{\frac{5 x}{3}}}{-{\mathrm e}^{x} \ln \left(x \right)+5 x}$&$24$\\ \hline \end{longtable}"," ",0,"(2^exp(-4))^4*exp(5/3*x)/(-exp(x)*ln(x)+5*x)","A"
5211,1,29,24,0.061000," ","int(((10*x^2*exp(2)+50*x^3-20*x^2+125*x+125)*exp(x)*ln(x)+((20*x^2-10*x)*exp(2)+100*x^3-90*x^2+220*x+125)*exp(x))/((4*x^2*exp(2)^2+(40*x^3+24*x^2+100*x)*exp(2)+100*x^4+120*x^3+536*x^2+300*x+625)*ln(x)^2+(16*x^2*exp(2)^2+(160*x^3+96*x^2+400*x)*exp(2)+400*x^4+480*x^3+2144*x^2+1200*x+2500)*ln(x)+16*x^2*exp(2)^2+(160*x^3+96*x^2+400*x)*exp(2)+400*x^4+480*x^3+2144*x^2+1200*x+2500),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x \,{\mathrm e}^{x}}{\left(2 \,{\mathrm e}^{2} x +10 x^{2}+6 x +25\right) \left(\ln \left(x \right)+2\right)}$&$29$\\ \hline \end{longtable}"," ",0,"5*x*exp(x)/(2*exp(2)*x+10*x^2+6*x+25)/(ln(x)+2)","A"
5212,1,32,23,0.101000," ","int(((18*x^4+90)*ln(2)^4+(-12*x^5-57*x)*ln(2)^2+2*x^6+8*x^2)/(9*x^3*ln(2)^4-6*x^4*ln(2)^2+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{-15 \ln \left(2\right)^{2}+4 x}{x^{2} \left(3 \ln \left(2\right)^{2}-x \right)}$&$32$\\ default&$x^{2}+\frac{1}{3 \ln \left(2\right)^{2} \left(-3 \ln \left(2\right)^{2}+x \right)}-\frac{5}{x^{2}}-\frac{1}{3 \ln \left(2\right)^{2} x}$&$35$\\ gosper&$\frac{-x^{5}+3 x^{4} \ln \left(2\right)^{2}+4 x -15 \ln \left(2\right)^{2}}{x^{2} \left(3 \ln \left(2\right)^{2}-x \right)}$&$41$\\ norman&$\frac{-x^{5}+3 x^{4} \ln \left(2\right)^{2}+4 x -15 \ln \left(2\right)^{2}}{x^{2} \left(3 \ln \left(2\right)^{2}-x \right)}$&$41$\\ \hline \end{longtable}"," ",0,"x^2+3*(-5*ln(2)^2+4/3*x)/x^2/(3*ln(2)^2-x)","A"
5213,1,15,16,0.071000," ","int(256*x*exp(2)^2*ln(2)^2*exp(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$64 \ln \left(2\right)^{2} {\mathrm e}^{2 x^{2}+4}$&$15$\\ gosper&$64 \,{\mathrm e}^{4} {\mathrm e}^{2 x^{2}} \ln \left(2\right)^{2}$&$17$\\ derivativedivides&$64 \,{\mathrm e}^{4} {\mathrm e}^{2 x^{2}} \ln \left(2\right)^{2}$&$17$\\ default&$64 \,{\mathrm e}^{4} {\mathrm e}^{2 x^{2}} \ln \left(2\right)^{2}$&$17$\\ norman&$64 \,{\mathrm e}^{4} {\mathrm e}^{2 x^{2}} \ln \left(2\right)^{2}$&$17$\\ meijerg&$-64 \,{\mathrm e}^{4} \ln \left(2\right)^{2} \left(1-{\mathrm e}^{2 x^{2}}\right)$&$19$\\ \hline \end{longtable}"," ",0,"64*ln(2)^2*exp(2*x^2+4)","A"
5214,1,19,23,0.037000," ","int((8*x^4+10*x^3-59*x^2-20*x+100)/(16*x^4+16*x^3-80*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{2}+\frac{\ln \left(x^{2}+x -5\right)}{16}+\frac{5}{4 x}$&$19$\\ risch&$\frac{x}{2}+\frac{\ln \left(x^{2}+x -5\right)}{16}+\frac{5}{4 x}$&$19$\\ norman&$\frac{\frac{5}{4}+\frac{x^{2}}{2}}{x}+\frac{\ln \left(x^{2}+x -5\right)}{16}$&$22$\\ \hline \end{longtable}"," ",0,"1/2*x+1/16*ln(x^2+x-5)+5/4/x","A"
5215,1,21,20,0.064000," ","int(((20*x^4+10*x^2-60)*ln(-x^4-1/2*x^2+3)+80*x^4+60*x^2-480)/((2*x^4+x^2-6)*ln(-x^4-1/2*x^2+3)^2+(32*x^4+16*x^2-96)*ln(-x^4-1/2*x^2+3)+128*x^4+64*x^2-384),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{10 x}{\ln \left(-x^{4}-\frac{1}{2} x^{2}+3\right)+8}$&$21$\\ risch&$\frac{10 x}{\ln \left(-x^{4}-\frac{1}{2} x^{2}+3\right)+8}$&$21$\\ \hline \end{longtable}"," ",0,"10/(ln(-x^4-1/2*x^2+3)+8)*x","A"
5216,1,55,22,0.243000," ","int(((-18*x^2+54*x)*ln(x^2)^2+(-36*x^2+108*x)*ln(x^2)+(18*x^2-54*x)*ln(3-x)+(18*x^2-54*x)*exp(1)+9*x^2)/(x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-9 x^{2} \ln \left(x^{2}\right)^{2}+9 \left(3-x \right)^{2} \ln \left(3-x \right)+\frac{243}{2}-54 \left(3-x \right) \ln \left(3-x \right)+9 x^{2} {\mathrm e}+81 \ln \left(x -3\right)$&$55$\\ risch&$9 \ln \left(3-x \right) x^{2}-36 x^{2} \ln \left(x \right)^{2}+18 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \ln \left(x \right)-36 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \ln \left(x \right)+18 i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \ln \left(x \right)+\frac{9 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}}{4}-9 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}+\frac{27 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}}{2}-9 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}+\frac{9 \pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}}{4}+9 x^{2} {\mathrm e}$&$204$\\ \hline \end{longtable}"," ",0,"-9*x^2*ln(x^2)^2+9*(3-x)^2*ln(3-x)+243/2-54*(3-x)*ln(3-x)+9*x^2*exp(1)+81*ln(x-3)","B"
5217,1,37,14,0.040000," ","int(((12*x-12)*ln(x)^3+(-36*x^2+36*x)*ln(x)^2+(36*x^3-36*x^2)*ln(x)-12*x^4+12*x^3)/(x*ln(x)^8-8*x^2*ln(x)^7+28*x^3*ln(x)^6-56*x^4*ln(x)^5+(70*x^5-8*x)*ln(x)^4+(-56*x^6+32*x^2)*ln(x)^3+(28*x^7-48*x^3)*ln(x)^2+(-8*x^8+32*x^4)*ln(x)+x^9-8*x^5+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{\ln \left(x \right)^{4}-4 x \ln \left(x \right)^{3}+6 x^{2} \ln \left(x \right)^{2}-4 x^{3} \ln \left(x \right)+x^{4}-4}$&$37$\\ \hline \end{longtable}"," ",0,"3/(ln(x)^4-4*x*ln(x)^3+6*x^2*ln(x)^2-4*x^3*ln(x)+x^4-4)","B"
5218,1,20,27,0.036000," ","int((4*ln(x)+(4*x-4)*exp(x)+4*x^2-12)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{8+4 x^{2}+4 \,{\mathrm e}^{x}-4 \ln \left(x \right)}{x}$&$20$\\ risch&$-\frac{4 \ln \left(x \right)}{x}+\frac{4 x^{2}+4 \,{\mathrm e}^{x}+8}{x}$&$21$\\ default&$4 x +\frac{8}{x}-\frac{4 \ln \left(x \right)}{x}+\frac{4 \,{\mathrm e}^{x}}{x}$&$24$\\ \hline \end{longtable}"," ",0,"(8+4*x^2+4*exp(x)-4*ln(x))/x","A"
5219,1,20,16,0.171000," ","int(1/3*(x^3-636*x-16854)*exp(1/3*(x^3+12*x^2+636*x+8427)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{x^{3}+12 x^{2}+636 x +8427}{3 x^{2}}}$&$20$\\ norman&${\mathrm e}^{\frac{x^{3}+12 x^{2}+636 x +8427}{3 x^{2}}}$&$20$\\ risch&${\mathrm e}^{\frac{x^{3}+12 x^{2}+636 x +8427}{3 x^{2}}}$&$20$\\ \hline \end{longtable}"," ",0,"exp(1/3*(x^3+12*x^2+636*x+8427)/x^2)","A"
5220,1,357,36,0.200000," ","int(((4*x^2-2)*ln(exp(1/2*exp((9*x-1)/x))/x)^2+(4*x^3-32*x^2-4*x+16)*ln(exp(1/2*exp((9*x-1)/x))/x)+exp((9*x-1)/x)-16*x^3+64*x^2+14*x-32)/(2*x*ln(exp(1/2*exp((9*x-1)/x))/x)^2+(2*x^2-16*x)*ln(exp(1/2*exp((9*x-1)/x))/x)-8*x^2+32*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\ln \left(x \right)+\ln \left(\ln \left({\mathrm e}^{\frac{{\mathrm e}^{\frac{9 x -1}{x}}}{2}}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{{\mathrm e}^{\frac{9 x -1}{x}}}{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{{\mathrm e}^{\frac{9 x -1}{x}}}{2}}}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{{\mathrm e}^{\frac{9 x -1}{x}}}{2}}}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{{\mathrm e}^{\frac{9 x -1}{x}}}{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{{\mathrm e}^{\frac{9 x -1}{x}}}{2}}}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{{\mathrm e}^{\frac{9 x -1}{x}}}{2}}}{x}\right)^{3}-2 i \ln \left(x \right)-8 i\right)}{2}\right)-\ln \left(\ln \left({\mathrm e}^{\frac{{\mathrm e}^{\frac{9 x -1}{x}}}{2}}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{{\mathrm e}^{\frac{9 x -1}{x}}}{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{{\mathrm e}^{\frac{9 x -1}{x}}}{2}}}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{{\mathrm e}^{\frac{9 x -1}{x}}}{2}}}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{{\mathrm e}^{\frac{9 x -1}{x}}}{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{{\mathrm e}^{\frac{9 x -1}{x}}}{2}}}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{{\mathrm e}^{\frac{9 x -1}{x}}}{2}}}{x}\right)^{3}+2 i x -2 i \ln \left(x \right)-8 i\right)}{2}\right)$&$357$\\ \hline \end{longtable}"," ",0,"x^2-ln(x)+ln(ln(exp(1/2*exp((9*x-1)/x)))-1/2*I*(Pi*csgn(I/x)*csgn(I*exp(1/2*exp((9*x-1)/x)))*csgn(I/x*exp(1/2*exp((9*x-1)/x)))-Pi*csgn(I/x)*csgn(I/x*exp(1/2*exp((9*x-1)/x)))^2-Pi*csgn(I*exp(1/2*exp((9*x-1)/x)))*csgn(I/x*exp(1/2*exp((9*x-1)/x)))^2+Pi*csgn(I/x*exp(1/2*exp((9*x-1)/x)))^3-2*I*ln(x)-8*I))-ln(ln(exp(1/2*exp((9*x-1)/x)))-1/2*I*(Pi*csgn(I/x)*csgn(I*exp(1/2*exp((9*x-1)/x)))*csgn(I/x*exp(1/2*exp((9*x-1)/x)))-Pi*csgn(I/x)*csgn(I/x*exp(1/2*exp((9*x-1)/x)))^2-Pi*csgn(I*exp(1/2*exp((9*x-1)/x)))*csgn(I/x*exp(1/2*exp((9*x-1)/x)))^2+Pi*csgn(I/x*exp(1/2*exp((9*x-1)/x)))^3+2*I*x-2*I*ln(x)-8*I))","C"
5221,1,26,19,0.168000," ","int(((11*x^8+22*x^4+16*x^3+11)*exp((11*x^5+4*x^4+11*x)/(4*x^4+4))+4*x^8+8*x^4+4)/(4*x^8+8*x^4+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{x \left(11 x^{4}+4 x^{3}+11\right)}{4 x^{4}+4}}$&$26$\\ norman&$\frac{x +x^{5}+x^{4} {\mathrm e}^{\frac{11 x^{5}+4 x^{4}+11 x}{4 x^{4}+4}}+{\mathrm e}^{\frac{11 x^{5}+4 x^{4}+11 x}{4 x^{4}+4}}}{x^{4}+1}$&$68$\\ \hline \end{longtable}"," ",0,"x+exp(1/4*x*(11*x^4+4*x^3+11)/(x^4+1))","A"
5222,1,37,29,0.176000," ","int(((2*x*ln(4/ln(3))^4+4*x*ln(4/ln(3))^2+2*x)*exp(x^2*ln(4/ln(3))^4+2*x^2*ln(4/ln(3))^2+x^2)-exp(x))/(exp(x^2*ln(4/ln(3))^4+2*x^2*ln(4/ln(3))^2+x^2)+exp(exp(1)^2)-exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{x^{2} \left(\ln \left(\ln \left(3\right)\right)^{2}-4 \ln \left(2\right) \ln \left(\ln \left(3\right)\right)+4 \ln \left(2\right)^{2}+1\right)^{2}}+{\mathrm e}^{{\mathrm e}^{2}}-{\mathrm e}^{x}\right)$&$37$\\ derivativedivides&$\ln \left({\mathrm e}^{x^{2} \ln \left(\frac{4}{\ln \left(3\right)}\right)^{4}+2 x^{2} \ln \left(\frac{4}{\ln \left(3\right)}\right)^{2}+x^{2}}+{\mathrm e}^{{\mathrm e}^{2}}-{\mathrm e}^{x}\right)$&$44$\\ default&$\ln \left({\mathrm e}^{x^{2} \ln \left(\frac{4}{\ln \left(3\right)}\right)^{4}+2 x^{2} \ln \left(\frac{4}{\ln \left(3\right)}\right)^{2}+x^{2}}+{\mathrm e}^{{\mathrm e}^{2}}-{\mathrm e}^{x}\right)$&$44$\\ norman&$\ln \left({\mathrm e}^{x^{2} \ln \left(\frac{4}{\ln \left(3\right)}\right)^{4}+2 x^{2} \ln \left(\frac{4}{\ln \left(3\right)}\right)^{2}+x^{2}}+{\mathrm e}^{{\mathrm e}^{2}}-{\mathrm e}^{x}\right)$&$44$\\ \hline \end{longtable}"," ",0,"ln(exp(x^2*(ln(ln(3))^2-4*ln(2)*ln(ln(3))+4*ln(2)^2+1)^2)+exp(exp(2))-exp(x))","A"
5223,1,21,18,0.245000," ","int((4*x^4-96*x^3+648*x^2-836*x-132)*exp(-x)/(x^2-22*x+121),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{4 x \left(x^{2}-11 x -3\right) {\mathrm e}^{-x}}{x -11}$&$21$\\ risch&$-\frac{4 x \left(x^{2}-11 x -3\right) {\mathrm e}^{-x}}{x -11}$&$21$\\ derivativedivides&$-4 x^{2} {\mathrm e}^{-x}+12 \,{\mathrm e}^{-x}-\frac{132 \,{\mathrm e}^{-x}}{11-x}$&$30$\\ default&$-4 x^{2} {\mathrm e}^{-x}+12 \,{\mathrm e}^{-x}-\frac{132 \,{\mathrm e}^{-x}}{11-x}$&$30$\\ norman&$\frac{12 x \,{\mathrm e}^{-x}+44 x^{2} {\mathrm e}^{-x}-4 x^{3} {\mathrm e}^{-x}}{x -11}$&$33$\\ \hline \end{longtable}"," ",0,"-4*x*(x^2-11*x-3)*exp(-x)/(x-11)","A"
5224,1,15,16,0.181000," ","int((374*x^3+250*x^2-125)/(187*x^2+125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+\ln \left(187 x +125\right)-\ln \left(x \right)$&$15$\\ norman&$x^{2}+\ln \left(187 x +125\right)-\ln \left(x \right)$&$15$\\ risch&$x^{2}+\ln \left(187 x +125\right)-\ln \left(x \right)$&$15$\\ meijerg&$\ln \left(1+\frac{187 x}{125}\right)-\ln \left(x \right)-\ln \left(11\right)-\ln \left(17\right)+3 \ln \left(5\right)-\frac{125 x \left(-\frac{561 x}{125}+6\right)}{561}+\frac{250 x}{187}$&$35$\\ \hline \end{longtable}"," ",0,"x^2+ln(187*x+125)-ln(x)","A"
5225,1,12,18,0.039000," ","int((-14*x^3+3*x^2)*exp(x)/exp(-16*ln(2)+15*x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$65536 x^{3} {\mathrm e}^{-14 x -3}$&$12$\\ gosper&$65536 x^{3} {\mathrm e}^{-15 x -3} {\mathrm e}^{x}$&$19$\\ default&$196608 \,{\mathrm e}^{-3} \left(-\frac{{\mathrm e}^{-14 x} x^{2}}{14}-\frac{x \,{\mathrm e}^{-14 x}}{98}-\frac{{\mathrm e}^{-14 x}}{1372}\right)-917504 \,{\mathrm e}^{-3} \left(-\frac{{\mathrm e}^{-14 x} x^{3}}{14}-\frac{3 \,{\mathrm e}^{-14 x} x^{2}}{196}-\frac{3 x \,{\mathrm e}^{-14 x}}{1372}-\frac{3 \,{\mathrm e}^{-14 x}}{19208}\right)$&$69$\\ \hline \end{longtable}"," ",0,"65536*x^3*exp(-14*x-3)","A"
5226,1,65,21,0.050000," ","int(((6*x^5+40*x^4+96*x^3+96*x^2+32*x)*ln(2)^2+(320*x^4+2048*x^3+4608*x^2+4096*x+1024)*exp(16)^2)/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(2\right)^{2} \left(x^{6}+8 x^{5}+24 x^{4}+32 x^{3}+16 x^{2}\right)+{\mathrm e}^{32} \left(64 x^{5}+512 x^{4}+1536 x^{3}+2048 x^{2}+1024 x \right)}{\ln \left(2\right)^{2}}$&$65$\\ risch&$x^{6}+8 x^{5}+\frac{64 \,{\mathrm e}^{32} x^{5}}{\ln \left(2\right)^{2}}+24 x^{4}+\frac{512 x^{4} {\mathrm e}^{32}}{\ln \left(2\right)^{2}}+32 x^{3}+\frac{1536 \,{\mathrm e}^{32} x^{3}}{\ln \left(2\right)^{2}}+16 x^{2}+\frac{2048 \,{\mathrm e}^{32} x^{2}}{\ln \left(2\right)^{2}}+\frac{1024 \,{\mathrm e}^{32} x}{\ln \left(2\right)^{2}}$&$78$\\ gosper&$\frac{x \left(x^{5} \ln \left(2\right)^{2}+8 x^{4} \ln \left(2\right)^{2}+64 x^{4} {\mathrm e}^{32}+24 x^{3} \ln \left(2\right)^{2}+512 \,{\mathrm e}^{32} x^{3}+32 x^{2} \ln \left(2\right)^{2}+1536 \,{\mathrm e}^{32} x^{2}+16 x \ln \left(2\right)^{2}+2048 \,{\mathrm e}^{32} x +1024 \,{\mathrm e}^{32}\right)}{\ln \left(2\right)^{2}}$&$90$\\ norman&$\frac{x^{6} \ln \left(2\right)+\frac{8 \left(\ln \left(2\right)^{2}+8 \,{\mathrm e}^{32}\right) x^{5}}{\ln \left(2\right)}+\frac{32 \left(\ln \left(2\right)^{2}+48 \,{\mathrm e}^{32}\right) x^{3}}{\ln \left(2\right)}+\frac{16 \left(\ln \left(2\right)^{2}+128 \,{\mathrm e}^{32}\right) x^{2}}{\ln \left(2\right)}+\frac{8 \left(3 \ln \left(2\right)^{2}+64 \,{\mathrm e}^{32}\right) x^{4}}{\ln \left(2\right)}+\frac{1024 \,{\mathrm e}^{32} x}{\ln \left(2\right)}}{\ln \left(2\right)}$&$106$\\ \hline \end{longtable}"," ",0,"1/ln(2)^2*(ln(2)^2*(x^6+8*x^5+24*x^4+32*x^3+16*x^2)+exp(16)^2*(64*x^5+512*x^4+1536*x^3+2048*x^2+1024*x))","B"
5227,1,47,31,0.054000," ","int((((10*x^2+19*x)*ln(5)-2*x*exp(3)-2*x^2-9*x)*ln(x)+(5*x^2+19*x+20)*ln(5)-exp(3)^2+(-2*x-8)*exp(3)-x^2-9*x-19)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-{\mathrm e}^{6}-8 \,{\mathrm e}^{3}+20 \ln \left(5\right)-19\right) \ln \left(x \right)+\left(5 \ln \left(5\right)-1\right) x^{2} \ln \left(x \right)+\left(-2 \,{\mathrm e}^{3}+19 \ln \left(5\right)-9\right) x \ln \left(x \right)$&$47$\\ risch&$\left(5 x^{2} \ln \left(5\right)-2 x \,{\mathrm e}^{3}+19 x \ln \left(5\right)-x^{2}-9 x \right) \ln \left(x \right)-8 \ln \left(x \right) {\mathrm e}^{3}-\ln \left(x \right) {\mathrm e}^{6}+20 \ln \left(5\right) \ln \left(x \right)-19 \ln \left(x \right)$&$53$\\ default&$10 \ln \left(5\right) \left(\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}\right)-2 \,{\mathrm e}^{3} \left(x \ln \left(x \right)-x \right)+19 \ln \left(5\right) \left(x \ln \left(x \right)-x \right)-x^{2} \ln \left(x \right)+\frac{5 x^{2} \ln \left(5\right)}{2}-9 x \ln \left(x \right)-\ln \left(x \right) {\mathrm e}^{6}-2 x \,{\mathrm e}^{3}+19 x \ln \left(5\right)-8 \ln \left(x \right) {\mathrm e}^{3}+20 \ln \left(5\right) \ln \left(x \right)-19 \ln \left(x \right)$&$96$\\ \hline \end{longtable}"," ",0,"(-exp(3)^2-8*exp(3)+20*ln(5)-19)*ln(x)+(5*ln(5)-1)*x^2*ln(x)+(-2*exp(3)+19*ln(5)-9)*x*ln(x)","A"
5228,1,8,20,0.025000," ","int(-4*exp(2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 \,{\mathrm e}^{2}}{x^{2}}$&$8$\\ default&$\frac{2 \,{\mathrm e}^{2}}{x^{2}}$&$8$\\ norman&$\frac{2 \,{\mathrm e}^{2}}{x^{2}}$&$8$\\ risch&$\frac{2 \,{\mathrm e}^{2}}{x^{2}}$&$8$\\ \hline \end{longtable}"," ",0,"2*exp(2)/x^2","A"
5229,1,39,20,0.038000," ","int(((4*x^7+16*x^6+8*x^5-16*x+48)*exp(x)+16*x^7+15*x^6+2*x^5+32*x+12)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{4}+5 x^{3}+x^{2}+\frac{-16 x -4}{x^{3}}+\frac{4 \left(x^{6}+x^{5}-4\right) {\mathrm e}^{x}}{x^{3}}$&$39$\\ norman&$\frac{-4+x^{5}-16 x +5 x^{6}+4 x^{7}+4 x^{5} {\mathrm e}^{x}+4 x^{6} {\mathrm e}^{x}-16 \,{\mathrm e}^{x}}{x^{3}}$&$41$\\ default&$x^{2}-\frac{4}{x^{3}}-\frac{16}{x^{2}}+5 x^{3}+4 x^{4}-\frac{16 \,{\mathrm e}^{x}}{x^{3}}+4 \,{\mathrm e}^{x} x^{2}+4 \,{\mathrm e}^{x} x^{3}$&$46$\\ \hline \end{longtable}"," ",0,"4*x^4+5*x^3+x^2+(-16*x-4)/x^3+4*(x^6+x^5-4)/x^3*exp(x)","A"
5230,1,31,31,0.055000," ","int(1/2*((2*x^3-x)*exp(2)*exp(x^2-4)+2*x^4+3*x^3+40*x-200)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{50-20 x +\frac{3 x^{3}}{2}+\frac{x^{4}}{2}+\frac{{\mathrm e}^{2} x \,{\mathrm e}^{x^{2}-4}}{2}}{x^{2}}$&$31$\\ risch&$\frac{x^{2}}{2}+\frac{3 x}{2}+\frac{-40 x +100}{2 x^{2}}+\frac{{\mathrm e}^{x^{2}-2}}{2 x}$&$31$\\ default&$\frac{x^{2}}{2}+\frac{3 x}{2}+\frac{50}{x^{2}}-\frac{20}{x}+\frac{{\mathrm e}^{2} {\mathrm e}^{-4} \sqrt{\pi}\, \erfi \left(x \right)}{2}-\frac{{\mathrm e}^{2} {\mathrm e}^{-4} \left(-\frac{{\mathrm e}^{x^{2}}}{x}+\sqrt{\pi}\, \erfi \left(x \right)\right)}{2}$&$53$\\ \hline \end{longtable}"," ",0,"(50-20*x+3/2*x^3+1/2*x^4+1/2*exp(2)*x*exp(x^2-4))/x^2","A"
5231,1,15,17,0.037000," ","int((6*exp(3)-3*x)/x^3/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-1} \left(-3 \,{\mathrm e}^{3}+3 x \right)}{x^{2}}$&$15$\\ gosper&$-\frac{3 \left(-x +{\mathrm e}^{3}\right) {\mathrm e}^{-1}}{x^{2}}$&$16$\\ default&$3 \,{\mathrm e}^{-1} \left(\frac{1}{x}-\frac{{\mathrm e}^{3}}{x^{2}}\right)$&$18$\\ norman&$\frac{3 \,{\mathrm e}^{-1} x -3 \,{\mathrm e}^{-1} {\mathrm e}^{3}}{x^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"exp(-1)*(-3*exp(3)+3*x)/x^2","A"
5232,0,0,25,0.028000," ","int(((2*x^2-160)*ln(-x/(x^2-80))*ln(x*ln(-x/(x^2-80)))+(-4*x^2+320)*ln(-x/(x^2-80))-2*x^2-160)/((x^3-80*x)*ln(-x/(x^2-80))*ln(x*ln(-x/(x^2-80)))+(-3*x^3+240*x)*ln(-x/(x^2-80))),x)","\[\int \frac{\left(2 x^{2}-160\right) \ln \left(-\frac{x}{x^{2}-80}\right) \ln \left(x \ln \left(-\frac{x}{x^{2}-80}\right)\right)+\left(-4 x^{2}+320\right) \ln \left(-\frac{x}{x^{2}-80}\right)-2 x^{2}-160}{\left(x^{3}-80 x \right) \ln \left(-\frac{x}{x^{2}-80}\right) \ln \left(x \ln \left(-\frac{x}{x^{2}-80}\right)\right)+\left(-3 x^{3}+240 x \right) \ln \left(-\frac{x}{x^{2}-80}\right)}\, dx\]"," ",0,"int(((2*x^2-160)*ln(-x/(x^2-80))*ln(x*ln(-x/(x^2-80)))+(-4*x^2+320)*ln(-x/(x^2-80))-2*x^2-160)/((x^3-80*x)*ln(-x/(x^2-80))*ln(x*ln(-x/(x^2-80)))+(-3*x^3+240*x)*ln(-x/(x^2-80))),x)","F"
5233,1,22,23,0.060000," ","int((((62*x^3*exp(x^2)-31*x^2+31*x)*ln(x)-186*x^3*exp(x^2)+93*x^2-93*x)*exp(exp(x^2)-x)+2*x*ln(x)-6*x-2)/(2*x*ln(x)-6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\ln \left(\ln \left(x \right)-3\right)+\frac{31 x \,{\mathrm e}^{{\mathrm e}^{x^{2}}-x}}{2}$&$22$\\ \hline \end{longtable}"," ",0,"x-ln(ln(x)-3)+31/2*x*exp(exp(x^2)-x)","A"
5234,1,88,26,0.337000," ","int((((2*x^2+2*x)*ln(2*x^3+4*x^2+2*x)^2-24*x-8)*exp((x*ln(2*x^3+4*x^2+2*x)+4)/ln(2*x^3+4*x^2+2*x))^2+((4*x^3+8*x^2+4*x)*ln(2*x^3+4*x^2+2*x)^2-48*x^2-16*x)*exp((x*ln(2*x^3+4*x^2+2*x)+4)/ln(2*x^3+4*x^2+2*x))+(8*x^3+8*x^2)*ln(2*x^3+4*x^2+2*x)^2)*exp(exp((x*ln(2*x^3+4*x^2+2*x)+4)/ln(2*x^3+4*x^2+2*x))^2+4*x*exp((x*ln(2*x^3+4*x^2+2*x)+4)/ln(2*x^3+4*x^2+2*x))+4*x^2)/(x^2+x)/ln(2*x^3+4*x^2+2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{2 x \ln \left(2 x^{3}+4 x^{2}+2 x \right)+8}{\ln \left(2 x^{3}+4 x^{2}+2 x \right)}}+4 x \,{\mathrm e}^{\frac{x \ln \left(2 x^{3}+4 x^{2}+2 x \right)+4}{\ln \left(2 x^{3}+4 x^{2}+2 x \right)}}+4 x^{2}}$&$88$\\ \hline \end{longtable}"," ",0,"exp(exp(2*(x*ln(2*x^3+4*x^2+2*x)+4)/ln(2*x^3+4*x^2+2*x))+4*x*exp((x*ln(2*x^3+4*x^2+2*x)+4)/ln(2*x^3+4*x^2+2*x))+4*x^2)","B"
5235,1,34,23,0.035000," ","int(((3*x^2+12*x-15)*ln(5+x)+(3*x^2+15*x)*ln(x)^2+(-6*x^3-36*x^2-27*x)*ln(x)+3*x^4+15*x^3+26*x^2+122*x-115)/(((3*x^2+15*x)*ln(x)-3*x^3-15*x^2)*ln(5+x)+(3*x^3+36*x^2+105*x)*ln(x)^2+(-6*x^4-78*x^3-217*x^2+115*x)*ln(x)+3*x^5+42*x^4+112*x^3-115*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\ln \left(x \right)-x \right)+\ln \left(-x^{2}+x \ln \left(x \right)-9 x +7 \ln \left(x \right)+\ln \left(5+x \right)+\frac{23}{3}\right)$&$34$\\ \hline \end{longtable}"," ",0,"-ln(ln(x)-x)+ln(-x^2+x*ln(x)-9*x+7*ln(x)+ln(5+x)+23/3)","A"
5236,1,22,18,0.194000," ","int(((-2*x-20)*ln(x)+(2*x+20)*ln(2/3*x+20/3)^2-2*x*ln(2/3*x+20/3)+x+10)/(45*x^4+450*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(\frac{2 x}{3}+\frac{20}{3}\right)^{2}}{45 x^{2}}+\frac{\ln \left(x \right)}{45 x^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"-1/45/x^2*ln(2/3*x+20/3)^2+1/45*ln(x)/x^2","A"
5237,1,33,25,0.065000," ","int((32*x^7+80*x^4+96*x^3+32*x+48)*exp(2)/ln(1/9*exp(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \left(x^{7}+4 x^{4}+6 x^{3}+4 x +12\right) {\mathrm e}^{2} x}{\ln \left(\frac{{\mathrm e}^{10}}{9}\right)}$&$33$\\ default&$\frac{{\mathrm e}^{2} \left(4 x^{8}+16 x^{5}+24 x^{4}+16 x^{2}+48 x \right)}{\ln \left(\frac{{\mathrm e}^{10}}{9}\right)}$&$37$\\ norman&$-\frac{24 \,{\mathrm e}^{2} x}{\ln \left(3\right)-5}-\frac{8 \,{\mathrm e}^{2} x^{2}}{\ln \left(3\right)-5}-\frac{12 \,{\mathrm e}^{2} x^{4}}{\ln \left(3\right)-5}-\frac{8 \,{\mathrm e}^{2} x^{5}}{\ln \left(3\right)-5}-\frac{2 \,{\mathrm e}^{2} x^{8}}{\ln \left(3\right)-5}$&$65$\\ risch&$\frac{4 \,{\mathrm e}^{2} x^{8}}{-2 \ln \left(3\right)+10}+\frac{16 \,{\mathrm e}^{2} x^{5}}{-2 \ln \left(3\right)+10}+\frac{24 \,{\mathrm e}^{2} x^{4}}{-2 \ln \left(3\right)+10}+\frac{16 \,{\mathrm e}^{2} x^{2}}{-2 \ln \left(3\right)+10}+\frac{48 \,{\mathrm e}^{2} x}{-2 \ln \left(3\right)+10}$&$75$\\ \hline \end{longtable}"," ",0,"4*(x^7+4*x^4+6*x^3+4*x+12)*exp(2)*x/ln(1/9*exp(5)^2)","A"
5238,1,15,15,0.051000," ","int(((-30*exp(x)-6)*exp((-15*exp(x)*x+3)/exp(x))^2+exp(x))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +{\mathrm e}^{6 \,{\mathrm e}^{-x}} {\mathrm e}^{-30 x}$&$15$\\ risch&${\mathrm e}^{-6 \left(5 \,{\mathrm e}^{x} x -1\right) {\mathrm e}^{-x}}+x$&$17$\\ norman&$\left({\mathrm e}^{x} x +{\mathrm e}^{x} {\mathrm e}^{2 \left(-15 \,{\mathrm e}^{x} x +3\right) {\mathrm e}^{-x}}\right) {\mathrm e}^{-x}$&$29$\\ \hline \end{longtable}"," ",0,"x+exp(1/exp(x))^6/exp(x)^30","A"
5239,1,26,20,0.092000," ","int(1/10*((-18*x+5)*ln(4*x)^2+2*x*ln(4*x)-x)/ln(2)/ln(4*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-9 x^{2}+5 x +\frac{x^{2}}{\ln \left(4 x \right)}}{10 \ln \left(2\right)}$&$26$\\ derivativedivides&$\frac{-144 x^{2}+80 x +\frac{16 x^{2}}{\ln \left(4 x \right)}}{160 \ln \left(2\right)}$&$27$\\ risch&$-\frac{9 x^{2}}{10 \ln \left(2\right)}+\frac{x}{2 \ln \left(2\right)}+\frac{x^{2}}{10 \ln \left(2\right) \ln \left(4 x \right)}$&$33$\\ norman&$\frac{\frac{x^{2}}{10 \ln \left(2\right)}+\frac{x \ln \left(4 x \right)}{2 \ln \left(2\right)}-\frac{9 x^{2} \ln \left(4 x \right)}{10 \ln \left(2\right)}}{\ln \left(4 x \right)}$&$42$\\ \hline \end{longtable}"," ",0,"1/10/ln(2)*(-9*x^2+5*x+x^2/ln(4*x))","A"
5240,1,20,21,0.051000," ","int(1/5*(x*exp(5-ln(x))+6*x)/exp(exp(6)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{-{\mathrm e}^{24}} \left(x \,{\mathrm e}^{5}+3 x^{2}\right)}{5}$&$20$\\ risch&$\frac{x \,{\mathrm e}^{-{\mathrm e}^{24}+5}}{5}+\frac{3 \,{\mathrm e}^{-{\mathrm e}^{24}} x^{2}}{5}$&$22$\\ norman&$\frac{3 \,{\mathrm e}^{-{\mathrm e}^{24}} x^{2}}{5}+\frac{{\mathrm e}^{-{\mathrm e}^{24}} {\mathrm e}^{5} x}{5}$&$26$\\ \hline \end{longtable}"," ",0,"1/5/exp(exp(6)^4)*(x*exp(5)+3*x^2)","A"
5241,1,24,25,0.424000," ","int(((100*x*ln(x)^2+(-200*x+200)*ln(x))*ln(2*ln(2))^2+100*x*ln(x)^3+(-100*x+100)*ln(x)^2)/((x^3-2*x^2+x)*ln(2*ln(2))^4+(2*x^3-4*x^2+2*x)*ln(x)*ln(2*ln(2))^2+(x^3-2*x^2+x)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{100 \ln \left(x \right)^{2}}{\left(x -1\right) \left(\ln \left(x \right)+\ln \left(2 \ln \left(2\right)\right)^{2}\right)}$&$24$\\ risch&$-\frac{100 \ln \left(x \right)}{x -1}+\frac{100 \ln \left(2\right)^{2}}{x -1}+\frac{200 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)}{x -1}+\frac{100 \ln \left(\ln \left(2\right)\right)^{2}}{x -1}-\frac{100 \left(\ln \left(2\right)^{4}+4 \ln \left(2\right)^{3} \ln \left(\ln \left(2\right)\right)+6 \ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)^{2}+4 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)^{3}+\ln \left(\ln \left(2\right)\right)^{4}\right)}{\left(x -1\right) \left(\ln \left(2\right)^{2}+2 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)+\ln \left(\ln \left(2\right)\right)^{2}+\ln \left(x \right)\right)}$&$113$\\ \hline \end{longtable}"," ",0,"-100*ln(x)^2/(x-1)/(ln(x)+ln(2*ln(2))^2)","A"
5242,1,28,25,0.134000," ","int(((625*x^6+1500*x^5+1200*x^4+320*x^3)*exp(x^2+4*x+1)-3200*x^3-8960*x^2-11520*x-2560)/(125*x^6+300*x^5+240*x^4+64*x^3)/exp(x^2+4*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x +\frac{320 \,{\mathrm e}^{-x^{2}-4 x -1}}{\left(4+5 x \right)^{2} x^{2}}$&$28$\\ norman&$\frac{\left(320+80 \,{\mathrm e}^{x^{2}+4 x +1} x^{3}+200 \,{\mathrm e}^{x^{2}+4 x +1} x^{4}+125 \,{\mathrm e}^{x^{2}+4 x +1} x^{5}\right) {\mathrm e}^{-x^{2}-4 x -1}}{x^{2} \left(4+5 x \right)^{2}}$&$67$\\ \hline \end{longtable}"," ",0,"5*x+320/(4+5*x)^2/x^2*exp(-x^2-4*x-1)","A"
5243,1,16,12,0.047000," ","int((((3+4*x)*ln(x)-12*x-9)*ln(3-ln(x))+2*x+3)/(2*ln(x)-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}+\frac{3}{2} x \right) \ln \left(3-\ln \left(x \right)\right)$&$16$\\ norman&$x^{2} \ln \left(3-\ln \left(x \right)\right)+\frac{3 \ln \left(3-\ln \left(x \right)\right) x}{2}$&$23$\\ \hline \end{longtable}"," ",0,"(x^2+3/2*x)*ln(3-ln(x))","A"
5244,1,12,16,0.040000," ","int((2*x^2+x+1)*exp(exp(4))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{{\mathrm e}^{4}} \left(\ln \left(x \right)+x^{2}+x \right)$&$12$\\ norman&$x \,{\mathrm e}^{{\mathrm e}^{4}}+x^{2} {\mathrm e}^{{\mathrm e}^{4}}+{\mathrm e}^{{\mathrm e}^{4}} \ln \left(x \right)$&$20$\\ risch&$x \,{\mathrm e}^{{\mathrm e}^{4}}+x^{2} {\mathrm e}^{{\mathrm e}^{4}}+{\mathrm e}^{{\mathrm e}^{4}} \ln \left(x \right)$&$20$\\ \hline \end{longtable}"," ",0,"exp(exp(4))*(ln(x)+x^2+x)","A"
5245,1,58,26,0.121000," ","int(((2*x^2-81)*exp(4)^2+(4*x^3+14*x^2-324)*exp(4)+3*x^4+20*x^3+29*x^2-324)/((2*x^3+18*x^2+81*x)*exp(4)^2+(2*x^4+14*x^3+72*x^2+324*x)*exp(4)+x^5+10*x^4+29*x^3+72*x^2+324*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(-x \right)+\ln \left(x^{4}+\left(2 \,{\mathrm e}^{4}+10\right) x^{3}+\left(2 \,{\mathrm e}^{8}+14 \,{\mathrm e}^{4}+29\right) x^{2}+\left(72 \,{\mathrm e}^{4}+18 \,{\mathrm e}^{8}+72\right) x +81 \,{\mathrm e}^{8}+324 \,{\mathrm e}^{4}+324\right)$&$58$\\ default&$-\ln \left(x \right)+\ln \left(2 x^{2} {\mathrm e}^{8}+2 x^{3} {\mathrm e}^{4}+x^{4}+18 x \,{\mathrm e}^{8}+14 x^{2} {\mathrm e}^{4}+10 x^{3}+81 \,{\mathrm e}^{8}+72 x \,{\mathrm e}^{4}+29 x^{2}+324 \,{\mathrm e}^{4}+72 x +324\right)$&$64$\\ norman&$-\ln \left(x \right)+\ln \left(2 x^{2} {\mathrm e}^{8}+2 x^{3} {\mathrm e}^{4}+x^{4}+18 x \,{\mathrm e}^{8}+14 x^{2} {\mathrm e}^{4}+10 x^{3}+81 \,{\mathrm e}^{8}+72 x \,{\mathrm e}^{4}+29 x^{2}+324 \,{\mathrm e}^{4}+72 x +324\right)$&$70$\\ \hline \end{longtable}"," ",0,"-ln(-x)+ln(x^4+(2*exp(4)+10)*x^3+(2*exp(8)+14*exp(4)+29)*x^2+(72*exp(4)+18*exp(8)+72)*x+81*exp(8)+324*exp(4)+324)","B"
5246,0,0,24,0.102000," ","int(((-2*x^3+240*x)*exp(x)^6+((6*x^3-720*x)*exp(1)-4*x^3-240)*exp(x)^4+((-6*x^3+720*x)*exp(1)^2+(4*x^3+480)*exp(1))*exp(x)^2+(2*x^3-240*x)*exp(1)^3-240*exp(1)^2)/(x^6*exp(60/x^2)^2*exp(x)^6+(-3*x^6*exp(1)-3*x^5)*exp(60/x^2)^2*exp(x)^4+(3*x^6*exp(1)^2+6*x^5*exp(1)+3*x^4)*exp(60/x^2)^2*exp(x)^2+(-x^6*exp(1)^3-3*x^5*exp(1)^2-3*x^4*exp(1)-x^3)*exp(60/x^2)^2),x)","\[\int \frac{\left(-2 x^{3}+240 x \right) {\mathrm e}^{6 x}+\left(\left(6 x^{3}-720 x \right) {\mathrm e}-4 x^{3}-240\right) {\mathrm e}^{4 x}+\left(\left(-6 x^{3}+720 x \right) {\mathrm e}^{2}+\left(4 x^{3}+480\right) {\mathrm e}\right) {\mathrm e}^{2 x}+\left(2 x^{3}-240 x \right) {\mathrm e}^{3}-240 \,{\mathrm e}^{2}}{x^{6} {\mathrm e}^{\frac{120}{x^{2}}} {\mathrm e}^{6 x}+\left(-3 x^{6} {\mathrm e}-3 x^{5}\right) {\mathrm e}^{\frac{120}{x^{2}}} {\mathrm e}^{4 x}+\left(3 x^{6} {\mathrm e}^{2}+6 x^{5} {\mathrm e}+3 x^{4}\right) {\mathrm e}^{\frac{120}{x^{2}}} {\mathrm e}^{2 x}+\left(-x^{6} {\mathrm e}^{3}-3 \,{\mathrm e}^{2} x^{5}-3 x^{4} {\mathrm e}-x^{3}\right) {\mathrm e}^{\frac{120}{x^{2}}}}\, dx\]"," ",0,"int(((-2*x^3+240*x)*exp(x)^6+((6*x^3-720*x)*exp(1)-4*x^3-240)*exp(x)^4+((-6*x^3+720*x)*exp(1)^2+(4*x^3+480)*exp(1))*exp(x)^2+(2*x^3-240*x)*exp(1)^3-240*exp(1)^2)/(x^6*exp(60/x^2)^2*exp(x)^6+(-3*x^6*exp(1)-3*x^5)*exp(60/x^2)^2*exp(x)^4+(3*x^6*exp(1)^2+6*x^5*exp(1)+3*x^4)*exp(60/x^2)^2*exp(x)^2+(-x^6*exp(1)^3-3*x^5*exp(1)^2-3*x^4*exp(1)-x^3)*exp(60/x^2)^2),x)","F"
5247,1,12,25,0.028000," ","int(4*x^3*ln(x)+x^3-exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{4} \ln \left(x \right)-{\mathrm e}^{x}$&$12$\\ norman&$x^{4} \ln \left(x \right)-{\mathrm e}^{x}$&$12$\\ risch&$x^{4} \ln \left(x \right)-{\mathrm e}^{x}$&$12$\\ \hline \end{longtable}"," ",0,"x^4*ln(x)-exp(x)","A"
5248,1,18,24,0.028000," ","int(((-4*x^3-2*x)*exp(x^2)+4*x^2-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x^{2}-\ln \left(x \right)-2 \,{\mathrm e}^{x^{2}} x$&$18$\\ norman&$2 x^{2}-\ln \left(x \right)-2 \,{\mathrm e}^{x^{2}} x$&$18$\\ risch&$2 x^{2}-\ln \left(x \right)-2 \,{\mathrm e}^{x^{2}} x$&$18$\\ \hline \end{longtable}"," ",0,"2*x^2-ln(x)-2*exp(x^2)*x","A"
5249,1,971,24,0.375000," ","int(((((64*x+64)*exp(x)+64)*ln(x*exp(3)*exp(x)+x*exp(3))+(96*x+96)*exp(x)+96)*exp(ln(x*exp(3)*exp(x)+x*exp(3))^2+3*ln(x*exp(3)*exp(x)+x*exp(3))+9/4)^2+((((-16*x-16)*exp(x)-16)*ln(x)+(48*x+48)*exp(x)+48)*ln(x*exp(3)*exp(x)+x*exp(3))+((-24*x-24)*exp(x)-24)*ln(x)+(72*x+64)*exp(x)+64)*exp(ln(x*exp(3)*exp(x)+x*exp(3))^2+3*ln(x*exp(3)*exp(x)+x*exp(3))+9/4)+(2*exp(x)+2)*ln(x)-6*exp(x)-6)/(exp(x)*x+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{2}-6 \ln \left(x \right)+16 \left({\mathrm e}^{x}+1\right)^{2 i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)} \left({\mathrm e}^{x}+1\right)^{4 \ln \left(x \right)} \left({\mathrm e}^{x}+1\right)^{-2 i \pi  \,\mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)} x^{-2 i \pi  \,\mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)} \left({\mathrm e}^{x}+1\right)^{-2 i \pi  \,\mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)} x^{-2 i \pi  \,\mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)} \left({\mathrm e}^{x}+1\right)^{2 i \pi  \,\mathrm{csgn}\left(i x \right)} x^{2 i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)} x^{2 i \pi  \,\mathrm{csgn}\left(i x \right)} \left({\mathrm e}^{x}+1\right)^{6} x^{6} {\mathrm e}^{2 \ln \left(x \right)^{2}+\frac{9}{2}+2 \ln \left({\mathrm e}^{x}+1\right)^{2}} {\mathrm e}^{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{3} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)^{2} \mathrm{csgn}\left(i x \right)} {\mathrm e}^{-\frac{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)^{2}}{2}} {\mathrm e}^{-2 \pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)} {\mathrm e}^{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)} {\mathrm e}^{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{5} \mathrm{csgn}\left(i x \right)} {\mathrm e}^{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{5} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)} {\mathrm e}^{-\frac{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{4} \mathrm{csgn}\left(i x \right)^{2}}{2}} {\mathrm e}^{-\frac{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{4} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)^{2}}{2}} {\mathrm e}^{-\frac{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{6}}{2}}+\left(-8 \ln \left(x \right)+24\right) x^{3} \left({\mathrm e}^{x}+1\right)^{3} x^{i \pi  \,\mathrm{csgn}\left(i x \right)} x^{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)} \left({\mathrm e}^{x}+1\right)^{i \pi  \,\mathrm{csgn}\left(i x \right)} x^{-i \pi  \,\mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)} \left({\mathrm e}^{x}+1\right)^{-i \pi  \,\mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)} x^{-i \pi  \,\mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)} \left({\mathrm e}^{x}+1\right)^{-i \pi  \,\mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)} \left({\mathrm e}^{x}+1\right)^{2 \ln \left(x \right)} \left({\mathrm e}^{x}+1\right)^{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)} {\mathrm e}^{\ln \left(x \right)^{2}+\frac{9}{4}+\ln \left({\mathrm e}^{x}+1\right)^{2}} {\mathrm e}^{\frac{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{3} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)^{2} \mathrm{csgn}\left(i x \right)}{2}} {\mathrm e}^{\frac{3 i \pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{2} \mathrm{csgn}\left(i x \right)}{2}} {\mathrm e}^{\frac{3 i \pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)}{2}} {\mathrm e}^{-\frac{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)^{2}}{4}} {\mathrm e}^{-\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)} {\mathrm e}^{\frac{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)}{2}} {\mathrm e}^{\frac{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{5} \mathrm{csgn}\left(i x \right)}{2}} {\mathrm e}^{\frac{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{5} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)}{2}} {\mathrm e}^{-\frac{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{4} \mathrm{csgn}\left(i x \right)^{2}}{4}} {\mathrm e}^{-\frac{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{4} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)^{2}}{4}} {\mathrm e}^{-\frac{3 i \pi  \,\mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)}{2}} {\mathrm e}^{-\frac{\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{6}}{4}} {\mathrm e}^{-\frac{3 i \pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{x}+1\right)\right)^{3}}{2}}$&$971$\\ \hline \end{longtable}"," ",0,"ln(x)^2-6*ln(x)+16*((exp(x)+1)^(I*Pi*csgn(I*(exp(x)+1))))^2*((exp(x)+1)^(2*ln(x)))^2*((exp(x)+1)^(-I*Pi*csgn(I*x*(exp(x)+1))*csgn(I*x)*csgn(I*(exp(x)+1))))^2*(x^(-I*Pi*csgn(I*x*(exp(x)+1))*csgn(I*x)*csgn(I*(exp(x)+1))))^2*((exp(x)+1)^(-I*Pi*csgn(I*x*(exp(x)+1))))^2*(x^(-I*Pi*csgn(I*x*(exp(x)+1))))^2*((exp(x)+1)^(I*Pi*csgn(I*x)))^2*(x^(I*Pi*csgn(I*(exp(x)+1))))^2*(x^(I*Pi*csgn(I*x)))^2*(exp(x)+1)^6*x^6*exp(2*ln(x)^2+9/2+2*ln(exp(x)+1)^2)*exp(Pi^2*csgn(I*x*(exp(x)+1))^3*csgn(I*(exp(x)+1))^2*csgn(I*x))*exp(-1/2*Pi^2*csgn(I*x*(exp(x)+1))^2*csgn(I*x)^2*csgn(I*(exp(x)+1))^2)*exp(-2*Pi^2*csgn(I*x*(exp(x)+1))^4*csgn(I*x)*csgn(I*(exp(x)+1)))*exp(Pi^2*csgn(I*x*(exp(x)+1))^3*csgn(I*x)^2*csgn(I*(exp(x)+1)))*exp(Pi^2*csgn(I*x*(exp(x)+1))^5*csgn(I*x))*exp(Pi^2*csgn(I*x*(exp(x)+1))^5*csgn(I*(exp(x)+1)))*exp(-1/2*Pi^2*csgn(I*x*(exp(x)+1))^4*csgn(I*x)^2)*exp(-1/2*Pi^2*csgn(I*x*(exp(x)+1))^4*csgn(I*(exp(x)+1))^2)*exp(-1/2*Pi^2*csgn(I*x*(exp(x)+1))^6)+(-8*ln(x)+24)*x^3*(exp(x)+1)^3*x^(I*Pi*csgn(I*x))*x^(I*Pi*csgn(I*(exp(x)+1)))*(exp(x)+1)^(I*Pi*csgn(I*x))*x^(-I*Pi*csgn(I*x*(exp(x)+1)))*(exp(x)+1)^(-I*Pi*csgn(I*x*(exp(x)+1)))*x^(-I*Pi*csgn(I*x*(exp(x)+1))*csgn(I*x)*csgn(I*(exp(x)+1)))*(exp(x)+1)^(-I*Pi*csgn(I*x*(exp(x)+1))*csgn(I*x)*csgn(I*(exp(x)+1)))*(exp(x)+1)^(2*ln(x))*(exp(x)+1)^(I*Pi*csgn(I*(exp(x)+1)))*exp(ln(x)^2+9/4+ln(exp(x)+1)^2)*exp(1/2*Pi^2*csgn(I*x*(exp(x)+1))^3*csgn(I*(exp(x)+1))^2*csgn(I*x))*exp(3/2*I*Pi*csgn(I*x*(exp(x)+1))^2*csgn(I*x))*exp(3/2*I*Pi*csgn(I*x*(exp(x)+1))^2*csgn(I*(exp(x)+1)))*exp(-1/4*Pi^2*csgn(I*x*(exp(x)+1))^2*csgn(I*x)^2*csgn(I*(exp(x)+1))^2)*exp(-Pi^2*csgn(I*x*(exp(x)+1))^4*csgn(I*x)*csgn(I*(exp(x)+1)))*exp(1/2*Pi^2*csgn(I*x*(exp(x)+1))^3*csgn(I*x)^2*csgn(I*(exp(x)+1)))*exp(1/2*Pi^2*csgn(I*x*(exp(x)+1))^5*csgn(I*x))*exp(1/2*Pi^2*csgn(I*x*(exp(x)+1))^5*csgn(I*(exp(x)+1)))*exp(-1/4*Pi^2*csgn(I*x*(exp(x)+1))^4*csgn(I*x)^2)*exp(-1/4*Pi^2*csgn(I*x*(exp(x)+1))^4*csgn(I*(exp(x)+1))^2)*exp(-3/2*I*Pi*csgn(I*x*(exp(x)+1))*csgn(I*x)*csgn(I*(exp(x)+1)))*exp(-1/4*Pi^2*csgn(I*x*(exp(x)+1))^6)*exp(-3/2*I*Pi*csgn(I*x*(exp(x)+1))^3)","C"
5250,1,42,28,1.001000," ","int((12*ln(x*exp(5)^2)+3*x^2*ln(4*x)^2+6*x^2*ln(4*x)-9)/(16*ln(x*exp(5)^2)^2+(-8*x^2*ln(4*x)^2+8*x+8)*ln(x*exp(5)^2)+x^4*ln(4*x)^4+(-2*x^3-2*x^2)*ln(4*x)^2+x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{12 x}{164+4 x -16 x^{2} \ln \left(2\right) \ln \left(x \right)-4 x^{2} \ln \left(x \right)^{2}+16 \ln \left(x \right)-16 x^{2} \ln \left(2\right)^{2}}$&$42$\\ \hline \end{longtable}"," ",0,"12*x/(164+4*x-16*x^2*ln(2)*ln(x)-4*x^2*ln(x)^2+16*ln(x)-16*x^2*ln(2)^2)","A"
5251,1,29,28,0.089000," ","int(1/4*(((32*x+32)*ln(x)^2-4*ln(x)+4)*exp(((-8*ln(2)-4*x^2-8*x)*ln(x)+x)/ln(x))*exp(exp(((-8*ln(2)-4*x^2-8*x)*ln(x)+x)/ln(x)))-ln(x)^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{4}-{\mathrm e}^{\frac{{\mathrm e}^{-\frac{x \left(4 x \ln \left(x \right)+8 \ln \left(x \right)-1\right)}{\ln \left(x \right)}}}{256}}$&$29$\\ \hline \end{longtable}"," ",0,"-1/4*x-exp(1/256*exp(-x*(4*x*ln(x)+8*ln(x)-1)/ln(x)))","A"
5252,1,26,23,0.471000," ","int((5*x^2*exp(1)*exp(5*x*exp(1))*ln(4/exp((x^2-5)/x))+(-x^2-5)*exp(5*x*exp(1))+5*x^2+25)*exp((exp(5*x*exp(1))-5)*ln(4/exp((x^2-5)/x)))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{\left({\mathrm e}^{5 x \,{\mathrm e}}-5\right) \ln \left(4 \,{\mathrm e}^{-\frac{x^{2}-5}{x}}\right)}$&$26$\\ risch&${\mathrm e}^{\left({\mathrm e}^{5 x \,{\mathrm e}}-5\right) \left(2 \ln \left(2\right)-\ln \left({\mathrm e}^{\frac{x^{2}-5}{x}}\right)\right)}$&$29$\\ \hline \end{longtable}"," ",0,"exp((exp(5*x*exp(1))-5)*ln(4/exp((x^2-5)/x)))","A"
5253,1,21,23,0.099000," ","int((-x*exp(1/4*x^2+5)^2+1-2*x)*exp(exp(1/4*x^2+5)^2+x^2-x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -{\mathrm e}^{{\mathrm e}^{\frac{x^{2}}{2}+10}+x^{2}-x}$&$21$\\ default&$x -{\mathrm e}^{{\mathrm e}^{\frac{x^{2}}{2}+10}+x^{2}-x}$&$23$\\ norman&$x -{\mathrm e}^{{\mathrm e}^{\frac{x^{2}}{2}+10}+x^{2}-x}$&$23$\\ \hline \end{longtable}"," ",0,"x-exp(exp(1/2*x^2+10)+x^2-x)","A"
5254,1,17,17,0.254000," ","int(((16*x^2-80*x+100)*exp(4/3*x+1/3)+6*exp(2))/(12*x^2-60*x+75),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{2}}{2 \left(x -\frac{5}{2}\right)}+{\mathrm e}^{\frac{4 x}{3}+\frac{1}{3}}$&$17$\\ derivativedivides&$-\frac{2 \,{\mathrm e}^{2}}{4 x -10}+{\mathrm e}^{\frac{4 x}{3}+\frac{1}{3}}$&$19$\\ default&$-\frac{2 \,{\mathrm e}^{2}}{4 x -10}+{\mathrm e}^{\frac{4 x}{3}+\frac{1}{3}}$&$19$\\ norman&$\frac{2 \,{\mathrm e}^{\frac{4 x}{3}+\frac{1}{3}} x -5 \,{\mathrm e}^{\frac{4 x}{3}+\frac{1}{3}}-{\mathrm e}^{2}}{2 x -5}$&$31$\\ \hline \end{longtable}"," ",0,"-1/2*exp(2)/(x-5/2)+exp(4/3*x+1/3)","A"
5255,1,82,30,14.039000," ","int(((4*x^2-17)*exp(5)^2+(-60*x^4+80*x^3-4*x^2+102)*exp(5)+125*x^6+30*x^4-240*x^3+x^2-153)*exp(((4*x^2-16*x+17)*exp(5)^2+(-20*x^4+40*x^3-4*x^2+56*x-102)*exp(5)+25*x^6+10*x^4-120*x^3+x^2-24*x+153)/(x*exp(5)^2-6*x*exp(5)+9*x))*exp(exp(((4*x^2-16*x+17)*exp(5)^2+(-20*x^4+40*x^3-4*x^2+56*x-102)*exp(5)+25*x^6+10*x^4-120*x^3+x^2-24*x+153)/(x*exp(5)^2-6*x*exp(5)+9*x)))/(x^2*exp(5)^2-6*x^2*exp(5)+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{{\mathrm e}^{\frac{\left(4 x^{2}-16 x +17\right) {\mathrm e}^{10}+\left(-20 x^{4}+40 x^{3}-4 x^{2}+56 x -102\right) {\mathrm e}^{5}+25 x^{6}+10 x^{4}-120 x^{3}+x^{2}-24 x +153}{x \,{\mathrm e}^{10}-6 x \,{\mathrm e}^{5}+9 x}}}$&$82$\\ risch&${\mathrm e}^{{\mathrm e}^{\frac{25 x^{6}-20 x^{4} {\mathrm e}^{5}+40 x^{3} {\mathrm e}^{5}+10 x^{4}-4 x^{2} {\mathrm e}^{5}+4 \,{\mathrm e}^{10} x^{2}-120 x^{3}+56 x \,{\mathrm e}^{5}-16 x \,{\mathrm e}^{10}+x^{2}-102 \,{\mathrm e}^{5}+17 \,{\mathrm e}^{10}-24 x +153}{x \left({\mathrm e}^{10}-6 \,{\mathrm e}^{5}+9\right)}}}$&$86$\\ \hline \end{longtable}"," ",0,"exp(exp(((4*x^2-16*x+17)*exp(5)^2+(-20*x^4+40*x^3-4*x^2+56*x-102)*exp(5)+25*x^6+10*x^4-120*x^3+x^2-24*x+153)/(x*exp(5)^2-6*x*exp(5)+9*x)))","B"
5256,1,18,18,0.034000," ","int(16*ln(2*ln(2))+4*ln(x)-45,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-49 x +4 x \ln \left(x \right)+16 x \ln \left(2 \ln \left(2\right)\right)$&$18$\\ norman&$\left(-49+16 \ln \left(2\right)+16 \ln \left(\ln \left(2\right)\right)\right) x +4 x \ln \left(x \right)$&$20$\\ risch&$4 x \ln \left(x \right)+16 x \ln \left(2\right)+16 x \ln \left(\ln \left(2\right)\right)-49 x$&$21$\\ \hline \end{longtable}"," ",0,"-49*x+4*x*ln(x)+16*x*ln(2*ln(2))","A"
5257,1,16,17,0.036000," ","int(((exp(x^2+x)-5)*ln(-exp(x^2+x)+5)+(2*x^2+x)*exp(x^2+x)*ln(-1/4*x))*exp(ln(-1/4*x)*ln(-exp(x^2+x)+5))/(x*exp(x^2+x)-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-\frac{x}{4}\right)^{\ln \left(-{\mathrm e}^{\left(x +1\right) x}+5\right)}$&$16$\\ \hline \end{longtable}"," ",0,"(-1/4*x)^ln(-exp((x+1)*x)+5)","A"
5258,1,19,23,0.166000," ","int((-2*ln(2*ln(2)+1/2*x)+4*ln(2)+x)*exp(-ln(2*ln(2)+1/2*x)^2+exp(3)+x)/(x+4*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-\ln \left(2 \ln \left(2\right)+\frac{x}{2}\right)^{2}+{\mathrm e}^{3}+x}$&$19$\\ risch&${\mathrm e}^{-\ln \left(2 \ln \left(2\right)+\frac{x}{2}\right)^{2}+{\mathrm e}^{3}+x}$&$19$\\ \hline \end{longtable}"," ",0,"exp(-ln(2*ln(2)+1/2*x)^2+exp(3)+x)","A"
5259,1,20,19,0.087000," ","int(((-ln(2)+2500*x^5)*ln(5*x)-ln(2)-625*x^5-x)/x^2/ln(5*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x +625 x^{5}+\ln \left(2\right)}{x \ln \left(5 x \right)}$&$20$\\ risch&$\frac{x +625 x^{5}+\ln \left(2\right)}{x \ln \left(5 x \right)}$&$20$\\ derivativedivides&$\frac{625 x^{4}}{\ln \left(5 x \right)}+5 \ln \left(2\right) \expIntegralEi \left(1, \ln \left(5 x \right)\right)-5 \ln \left(2\right) \left(-\frac{1}{5 x \ln \left(5 x \right)}+\expIntegralEi \left(1, \ln \left(5 x \right)\right)\right)+\frac{1}{\ln \left(5 x \right)}$&$51$\\ default&$\frac{625 x^{4}}{\ln \left(5 x \right)}+5 \ln \left(2\right) \expIntegralEi \left(1, \ln \left(5 x \right)\right)-5 \ln \left(2\right) \left(-\frac{1}{5 x \ln \left(5 x \right)}+\expIntegralEi \left(1, \ln \left(5 x \right)\right)\right)+\frac{1}{\ln \left(5 x \right)}$&$51$\\ \hline \end{longtable}"," ",0,"(x+625*x^5+ln(2))/x/ln(5*x)","A"
5260,1,60,29,0.767000," ","int((6*x*exp(x)^2-15*exp(x))/(2*exp(x)^2*ln(2*ln(2))^2+((4*exp(2)-4*x^2-9)*exp(x)^2-20*exp(x))*ln(2*ln(2))+(2*exp(2)^2+(-4*x^2-9)*exp(2)+2*x^4+9*x^2+9)*exp(x)^2+(-20*exp(2)+20*x^2+45)*exp(x)+50),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(-{\mathrm e}^{x} x^{2}+{\mathrm e}^{2} {\mathrm e}^{x}+{\mathrm e}^{x} \ln \left(2 \ln \left(2\right)\right)-3 \,{\mathrm e}^{x}-5\right)+\ln \left(-2 \,{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{2} {\mathrm e}^{x}+2 \,{\mathrm e}^{x} \ln \left(2 \ln \left(2\right)\right)-3 \,{\mathrm e}^{x}-10\right)$&$60$\\ risch&$-\ln \left(x^{2}-{\mathrm e}^{2}-\ln \left(\ln \left(2\right)\right)-\ln \left(2\right)+3\right)+\ln \left(-2 x^{2}+2 \,{\mathrm e}^{2}+2 \ln \left(\ln \left(2\right)\right)+2 \ln \left(2\right)-3\right)+\ln \left({\mathrm e}^{x}-\frac{10}{-2 x^{2}+2 \,{\mathrm e}^{2}+2 \ln \left(\ln \left(2\right)\right)+2 \ln \left(2\right)-3}\right)-\ln \left({\mathrm e}^{x}-\frac{5}{-x^{2}+{\mathrm e}^{2}+\ln \left(\ln \left(2\right)\right)+\ln \left(2\right)-3}\right)$&$96$\\ \hline \end{longtable}"," ",0,"-ln(-exp(x)*x^2+exp(2)*exp(x)+exp(x)*ln(2*ln(2))-3*exp(x)-5)+ln(-2*exp(x)*x^2+2*exp(2)*exp(x)+2*exp(x)*ln(2*ln(2))-3*exp(x)-10)","B"
5261,1,197,27,0.822000," ","int(((-4*x^3*exp(4)^3-60*x^3*exp(3)*exp(4)^2-300*x^3*exp(3)^2*exp(4)-500*x^3*exp(3)^3)*exp(x)-16*x*exp(4)^3-240*x*exp(3)*exp(4)^2-1200*x*exp(3)^2*exp(4)-2000*x*exp(3)^3)*exp((2*x^2*exp(4)^2+20*x^2*exp(3)*exp(4)+50*x^2*exp(3)^2)/((x^2*exp(4)^2+10*x^2*exp(3)*exp(4)+25*x^2*exp(3)^2)*exp(x)^2+((8*x^2-8*x)*exp(4)^2+((80*x^2-80*x)*exp(3)-2*x^2)*exp(4)+(200*x^2-200*x)*exp(3)^2-10*x^2*exp(3))*exp(x)+(16*x^2-32*x+16)*exp(4)^2+((160*x^2-320*x+160)*exp(3)-8*x^2+8*x)*exp(4)+(400*x^2-800*x+400)*exp(3)^2+(-40*x^2+40*x)*exp(3)+x^2))/((x^3*exp(4)^3+15*x^3*exp(3)*exp(4)^2+75*x^3*exp(3)^2*exp(4)+125*x^3*exp(3)^3)*exp(x)^3+((12*x^3-12*x^2)*exp(4)^3+((180*x^3-180*x^2)*exp(3)-3*x^3)*exp(4)^2+((900*x^3-900*x^2)*exp(3)^2-30*x^3*exp(3))*exp(4)+(1500*x^3-1500*x^2)*exp(3)^3-75*x^3*exp(3)^2)*exp(x)^2+((48*x^3-96*x^2+48*x)*exp(4)^3+((720*x^3-1440*x^2+720*x)*exp(3)-24*x^3+24*x^2)*exp(4)^2+((3600*x^3-7200*x^2+3600*x)*exp(3)^2+(-240*x^3+240*x^2)*exp(3)+3*x^3)*exp(4)+(6000*x^3-12000*x^2+6000*x)*exp(3)^3+(-600*x^3+600*x^2)*exp(3)^2+15*x^3*exp(3))*exp(x)+(64*x^3-192*x^2+192*x-64)*exp(4)^3+((960*x^3-2880*x^2+2880*x-960)*exp(3)-48*x^3+96*x^2-48*x)*exp(4)^2+((4800*x^3-14400*x^2+14400*x-4800)*exp(3)^2+(-480*x^3+960*x^2-480*x)*exp(3)+12*x^3-12*x^2)*exp(4)+(8000*x^3-24000*x^2+24000*x-8000)*exp(3)^3+(-1200*x^3+2400*x^2-1200*x)*exp(3)^2+(60*x^3-60*x^2)*exp(3)-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 x^{2} \left({\mathrm e}^{8}+10 \,{\mathrm e}^{7}+25 \,{\mathrm e}^{6}\right)}{-160 \,{\mathrm e}^{7}+32 x \,{\mathrm e}^{8}+2 x^{2} {\mathrm e}^{4+x}-400 x^{2} {\mathrm e}^{6}-16 \,{\mathrm e}^{8}-8 x \,{\mathrm e}^{4}-16 x^{2} {\mathrm e}^{8}-400 \,{\mathrm e}^{6}-x^{2}+320 x \,{\mathrm e}^{7}+8 x^{2} {\mathrm e}^{4}+800 x \,{\mathrm e}^{6}+40 x^{2} {\mathrm e}^{3}-40 x \,{\mathrm e}^{3}-160 x^{2} {\mathrm e}^{7}+10 x^{2} {\mathrm e}^{3+x}+200 \,{\mathrm e}^{x +6} x -80 x^{2} {\mathrm e}^{x +7}+80 x \,{\mathrm e}^{x +7}-10 x^{2} {\mathrm e}^{7+2 x}-x^{2} {\mathrm e}^{2 x +8}-25 x^{2} {\mathrm e}^{2 x +6}-8 x^{2} {\mathrm e}^{x +8}-200 x^{2} {\mathrm e}^{x +6}+8 x \,{\mathrm e}^{x +8}}}$&$197$\\ \hline \end{longtable}"," ",0,"exp(-2*x^2*(exp(8)+10*exp(7)+25*exp(6))/(-160*exp(7)+32*x*exp(8)+2*x^2*exp(4+x)-400*x^2*exp(6)-16*exp(8)-8*x*exp(4)-16*x^2*exp(8)-400*exp(6)-x^2+320*x*exp(7)+8*x^2*exp(4)+800*x*exp(6)+40*x^2*exp(3)-40*x*exp(3)-160*x^2*exp(7)+10*x^2*exp(3+x)+200*exp(x+6)*x-80*x^2*exp(x+7)+80*x*exp(x+7)-10*x^2*exp(7+2*x)-x^2*exp(2*x+8)-25*x^2*exp(2*x+6)-8*x^2*exp(x+8)-200*x^2*exp(x+6)+8*x*exp(x+8)))","B"
5262,1,63,35,0.071000," ","int((((-85*x^3-85*x^2)*exp(x^2)^3+(-80*x^5+320*x^4-835*x^3-1235*x^2)*exp(x^2)^2+(-380*x^5+1420*x^4-3680*x^3-5480*x^2+125*x+125)*exp(x^2)-9650*x^3-9650*x^2+625*x+625)*ln(x+1)^2+((2*x^4+2*x^3)*exp(x^2)^3+(30*x^4+30*x^3)*exp(x^2)^2+(150*x^4+150*x^3)*exp(x^2)+250*x^4+250*x^3)*ln(x+1)-x^4*exp(x^2)^3-15*x^4*exp(x^2)^2-75*x^4*exp(x^2)-125*x^4)/((5*x^3+5*x^2)*exp(x^2)^3+(75*x^3+75*x^2)*exp(x^2)^2+(375*x^3+375*x^2)*exp(x^2)+625*x^3+625*x^2)/ln(x+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{17 \,{\mathrm e}^{2 x^{2}} x^{2}+162 x^{2} {\mathrm e}^{x^{2}}+386 x^{2}+40 \,{\mathrm e}^{x^{2}} x +190 x +25}{x \left(5+{\mathrm e}^{x^{2}}\right)^{2}}+\frac{x^{2}}{5 \ln \left(x +1\right)}$&$63$\\ \hline \end{longtable}"," ",0,"-(17*exp(2*x^2)*x^2+162*x^2*exp(x^2)+386*x^2+40*exp(x^2)*x+190*x+25)/x/(5+exp(x^2))^2+1/5*x^2/ln(x+1)","A"
5263,1,31,18,0.192000," ","int(((-2*x-16)*ln(x)^2+((-2*x^2-16*x)*ln(2+1/4*x)+2*x^2+2*x+16)*ln(x)+(2*x^3+2*x^2+16*x)*ln(2+1/4*x))/(x^4+8*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(2+\frac{x}{4}\right)^{2}+\frac{2 \ln \left(x \right) \ln \left(2+\frac{x}{4}\right)}{x}+\frac{\ln \left(x \right)^{2}}{x^{2}}$&$31$\\ \hline \end{longtable}"," ",0,"ln(2+1/4*x)^2+2/x*ln(x)*ln(2+1/4*x)+ln(x)^2/x^2","A"
5264,1,191,30,0.308000," ","int(((4*x^4*ln(5)^2+(8*x^4+8*x^2)*ln(5)+4*x^4+8*x^2)*ln(x)^6+((-4*x^2*ln(2)-12*x^5-60*x^4-8*x^2)*ln(5)^2+(-4*x^2*ln(2)-24*x^5-120*x^4-24*x^3-128*x^2)*ln(5)-12*x^5-60*x^4-24*x^3-120*x^2)*ln(x)^4+((4*x^2*ln(2)+8*x^2)*ln(5)^2+((4*x^2+8)*ln(2)+8*x^2+16)*ln(5))*ln(x)^3+(((6*x^3+40*x^2)*ln(2)+12*x^6+120*x^5+300*x^4+12*x^3+80*x^2)*ln(5)^2+((6*x^3+40*x^2-4*x)*ln(2)+24*x^6+240*x^5+624*x^4+252*x^3+680*x^2-8*x)*ln(5)+12*x^6+120*x^5+324*x^4+240*x^3+600*x^2)*ln(x)^2+((-4*ln(2)^2+(-4*x^3-20*x^2-16)*ln(2)-8*x^3-40*x^2-16)*ln(5)^2+((-4*x^3-20*x^2-8*x-40)*ln(2)-8*x^3-40*x^2-16*x-80)*ln(5))*ln(x)+(2*x*ln(2)^2+(-2*x^4-30*x^3-100*x^2+8*x)*ln(2)-4*x^7-60*x^6-300*x^5-504*x^4-60*x^3-200*x^2+8*x)*ln(5)^2+((-2*x^4-30*x^3-96*x^2+20*x)*ln(2)-8*x^7-120*x^6-608*x^5-1124*x^4-660*x^3-1192*x^2+40*x)*ln(5)-4*x^7-60*x^6-308*x^5-620*x^4-600*x^3-1000*x^2)/(x*ln(x)^6+(-3*x^2-15*x)*ln(x)^4+(3*x^3+30*x^2+75*x)*ln(x)^2-x^4-15*x^3-75*x^2-125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4} \ln \left(5\right)^{2}+2 x^{4} \ln \left(5\right)+x^{4}+4 x^{2} \ln \left(5\right)+4 x^{2}+\frac{\ln \left(5\right) \left(-2 \ln \left(x \right)^{2} \ln \left(5\right) \ln \left(2\right) x^{2}+2 \ln \left(5\right) \ln \left(2\right) x^{3}-4 \ln \left(x \right)^{2} \ln \left(5\right) x^{2}-2 x^{2} \ln \left(2\right) \ln \left(x \right)^{2}+10 x^{2} \ln \left(2\right) \ln \left(5\right)+4 x^{3} \ln \left(5\right)+2 x^{3} \ln \left(2\right)-4 x^{2} \ln \left(x \right)^{2}+\ln \left(2\right)^{2} \ln \left(5\right)+20 x^{2} \ln \left(5\right)+10 x^{2} \ln \left(2\right)-4 \ln \left(2\right) \ln \left(x \right)^{2}+4 x^{3}+4 \ln \left(2\right) \ln \left(5\right)+4 x \ln \left(2\right)+20 x^{2}-8 \ln \left(x \right)^{2}+4 \ln \left(5\right)+20 \ln \left(2\right)+8 x +40\right)}{\left(5+x -\ln \left(x \right)^{2}\right)^{2}}$&$191$\\ \hline \end{longtable}"," ",0,"x^4*ln(5)^2+2*x^4*ln(5)+x^4+4*x^2*ln(5)+4*x^2+ln(5)*(-2*ln(x)^2*ln(5)*ln(2)*x^2+2*ln(5)*ln(2)*x^3-4*ln(x)^2*ln(5)*x^2-2*x^2*ln(2)*ln(x)^2+10*x^2*ln(2)*ln(5)+4*x^3*ln(5)+2*x^3*ln(2)-4*x^2*ln(x)^2+ln(2)^2*ln(5)+20*x^2*ln(5)+10*x^2*ln(2)-4*ln(2)*ln(x)^2+4*x^3+4*ln(2)*ln(5)+4*x*ln(2)+20*x^2-8*ln(x)^2+4*ln(5)+20*ln(2)+8*x+40)/(5+x-ln(x)^2)^2","B"
5265,1,47,23,0.201000," ","int(((2*exp(x)^2+(4*ln(2)+24)*exp(x)+2*ln(2)^2+24*ln(2)+72)*ln(x)-x*exp(x)^3+(-2*x*ln(2)-12*x+1)*exp(x)^2+(-x*ln(2)^2+(-12*x+2)*ln(2)-32*x+12)*exp(x)+ln(2)^2+12*ln(2)+36)/(x*exp(x)^2+(2*x*ln(2)+12*x)*exp(x)+x*ln(2)^2+12*x*ln(2)+36*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{2}+\frac{\ln \left(2\right) \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)-{\mathrm e}^{x} \ln \left(2\right)-{\mathrm e}^{2 x}+6 \ln \left(x \right)-6 \,{\mathrm e}^{x}-4}{6+\ln \left(2\right)+{\mathrm e}^{x}}$&$47$\\ norman&$\frac{\left(\ln \left(2\right)+6\right) \ln \left(x \right)^{2}+\left(\ln \left(2\right)+6\right) \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)^{2}+{\mathrm e}^{x} \ln \left(x \right)-{\mathrm e}^{2 x}+\ln \left(2\right)^{2}+12 \ln \left(2\right)+32}{6+\ln \left(2\right)+{\mathrm e}^{x}}$&$54$\\ \hline \end{longtable}"," ",0,"ln(x)^2+(ln(2)*ln(x)+exp(x)*ln(x)-exp(x)*ln(2)-exp(2*x)+6*ln(x)-6*exp(x)-4)/(6+ln(2)+exp(x))","A"
5266,1,25,21,0.112000," ","int((2*x*exp(exp(5))*ln(x)*ln(ln(x))+((-3*x^2+1)*exp(exp(5))+8*x)*ln(x)+x*exp(exp(5)))/exp(exp(5))/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +x^{2} \ln \left(\ln \left(x \right)\right)-x^{3}+4 \,{\mathrm e}^{-{\mathrm e}^{5}} x^{2}$&$25$\\ risch&$x +x^{2} \ln \left(\ln \left(x \right)\right)-x^{3}+4 \,{\mathrm e}^{-{\mathrm e}^{5}} x^{2}$&$25$\\ \hline \end{longtable}"," ",0,"x+x^2*ln(ln(x))-x^3+4/exp(exp(5))*x^2","A"
5267,1,29,20,0.387000," ","int((((600*x^2*ln(5)^2-160*x*ln(5)+8)*ln(x)-2100*x^2*ln(5)^2+560*x*ln(5)-28)*ln(ln(x)-7/2)+(600*x^2*ln(5)^2-160*x*ln(5)+8)*ln(x)-2300*x^2*ln(5)^2+640*x*ln(5)-36)/((2*ln(x)-7)*ln(ln(x)-7/2)^2+(4*ln(x)-14)*ln(ln(x)-7/2)+2*ln(x)-7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x \left(25 x^{2} \ln \left(5\right)^{2}-10 x \ln \left(5\right)+1\right)}{1+\ln \left(\ln \left(x \right)-\frac{7}{2}\right)}$&$29$\\ \hline \end{longtable}"," ",0,"4*x*(25*x^2*ln(5)^2-10*x*ln(5)+1)/(1+ln(ln(x)-7/2))","A"
5268,1,14,15,0.046000," ","int((-4*x^2+4*x)*exp(x)/(625*exp(x)^3-1875*x*exp(x)^2+1875*exp(x)*x^2-625*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{2}}{625 \left(x -{\mathrm e}^{x}\right)^{2}}$&$14$\\ norman&$\frac{-\frac{2 \,{\mathrm e}^{2 x}}{625}+\frac{4 \,{\mathrm e}^{x} x}{625}}{\left(x -{\mathrm e}^{x}\right)^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"2/625*x^2/(x-exp(x))^2","A"
5269,1,27,22,0.053000," ","int(1/4*((x*exp(x)^2-2*exp(x))*exp(x/exp(x))*exp(exp(x))+(-2*ln(5)-x)*exp(x)*exp(x/exp(x))+4*x^4-4*x^3)/x^3/exp(x)/exp(x/exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(5\right)+x}{4 x^{2}}+\frac{{\mathrm e}^{{\mathrm e}^{x}}}{4 x^{2}}+{\mathrm e}^{-x \,{\mathrm e}^{-x}}$&$27$\\ \hline \end{longtable}"," ",0,"1/4*(ln(5)+x)/x^2+1/4*exp(exp(x))/x^2+exp(-x*exp(-x))","A"
5270,1,31,27,0.054000," ","int((((2*x^2-2*x+8)*exp(x-4)+2*x^2-4*x+9)*exp(x+exp(x-4))^2-25*x^2+150*x+25)/(exp(x+exp(x-4))^4+(50*x^2+50)*exp(x+exp(x-4))^2+625*x^4+1250*x^2+625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}-x +4}{25 x^{2}+25+{\mathrm e}^{2 x +2 \,{\mathrm e}^{x -4}}}$&$31$\\ \hline \end{longtable}"," ",0,"-(x^2-x+4)/(25*x^2+25+exp(2*x+2*exp(x-4)))","A"
5271,1,8,7,0.027000," ","int(10*exp(x)^2*exp(exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$5 \,{\mathrm e}^{{\mathrm e}^{2 x}}$&$8$\\ default&$5 \,{\mathrm e}^{{\mathrm e}^{2 x}}$&$8$\\ norman&$5 \,{\mathrm e}^{{\mathrm e}^{2 x}}$&$8$\\ risch&$5 \,{\mathrm e}^{{\mathrm e}^{2 x}}$&$8$\\ \hline \end{longtable}"," ",0,"5*exp(exp(x)^2)","A"
5272,1,206,31,0.184000," ","int(((x*exp(25*x^2)-x^3)*ln((exp(25*x^2)-x^2)/x)^2+(128*x^4*ln(2)^4*exp(25*x^2)-128*x^6*ln(2)^4)*ln((exp(25*x^2)-x^2)/x)+(4096*x^7*ln(2)^8-384*x^3*ln(2)^4-100*x^2+2)*exp(25*x^2)-4096*x^9*ln(2)^8+384*x^5*ln(2)^4+2*x^2)/((x*exp(25*x^2)-x^3)*ln((exp(25*x^2)-x^2)/x)^2+(128*x^4*ln(2)^4*exp(25*x^2)-128*x^6*ln(2)^4)*ln((exp(25*x^2)-x^2)/x)+4096*x^7*ln(2)^8*exp(25*x^2)-4096*x^9*ln(2)^8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{4 i}{128 i x^{3} \ln \left(2\right)^{4}+\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{25 x^{2}}+x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{25 x^{2}}+x^{2}\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{25 x^{2}}+x^{2}\right)}{x}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{25 x^{2}}+x^{2}\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{25 x^{2}}+x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{25 x^{2}}+x^{2}\right)}{x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{25 x^{2}}+x^{2}\right)}{x}\right)^{3}-2 \pi -2 i \ln \left(x \right)+2 i \ln \left(-{\mathrm e}^{25 x^{2}}+x^{2}\right)}$&$206$\\ \hline \end{longtable}"," ",0,"x+4*I/(128*I*x^3*ln(2)^4+Pi*csgn(I/x)*csgn(I*(-exp(25*x^2)+x^2))*csgn(I/x*(-exp(25*x^2)+x^2))-Pi*csgn(I/x)*csgn(I/x*(-exp(25*x^2)+x^2))^2+2*Pi*csgn(I/x*(-exp(25*x^2)+x^2))^2-Pi*csgn(I*(-exp(25*x^2)+x^2))*csgn(I/x*(-exp(25*x^2)+x^2))^2-Pi*csgn(I/x*(-exp(25*x^2)+x^2))^3-2*Pi-2*I*ln(x)+2*I*ln(-exp(25*x^2)+x^2))","C"
5273,1,23,25,0.204000," ","int(((-2*x^3-10*x)*exp(4*exp(2)-2*x)-5*x^2-15)/(x^3+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{4 \,{\mathrm e}^{2}-2 x}-3 \ln \left(x \right)-\ln \left(x^{2}+5\right)$&$23$\\ risch&${\mathrm e}^{4 \,{\mathrm e}^{2}-2 x}-3 \ln \left(x \right)-\ln \left(x^{2}+5\right)$&$23$\\ derivativedivides&$-60 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\ln \left(4 \,{\mathrm e}^{2}-2 x -\textit{\_R} \right)}{48 \,{\mathrm e}^{4}-24 \textit{\_R} \,{\mathrm e}^{2}+3 \textit{\_R}^{2}+20}\right)-5 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\textit{\_R}^{2} \ln \left(4 \,{\mathrm e}^{2}-2 x -\textit{\_R} \right)}{48 \,{\mathrm e}^{4}-24 \textit{\_R} \,{\mathrm e}^{2}+3 \textit{\_R}^{2}+20}\right)-80 \,{\mathrm e}^{4} \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\ln \left(4 \,{\mathrm e}^{2}-2 x -\textit{\_R} \right)}{48 \,{\mathrm e}^{4}-24 \textit{\_R} \,{\mathrm e}^{2}+3 \textit{\_R}^{2}+20}\right)+40 \,{\mathrm e}^{2} \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\textit{\_R} \ln \left(4 \,{\mathrm e}^{2}-2 x -\textit{\_R} \right)}{48 \,{\mathrm e}^{4}-24 \textit{\_R} \,{\mathrm e}^{2}+3 \textit{\_R}^{2}+20}\right)+20 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\textit{\_R1} \,{\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -4 \,{\mathrm e}^{2}+2 x +\textit{\_R1} \right)}{-48 \,{\mathrm e}^{4}+24 \textit{\_R1} \,{\mathrm e}^{2}-3 \textit{\_R1}^{2}-20}\right)+{\mathrm e}^{4 \,{\mathrm e}^{2}-2 x}+4 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\left(3 \textit{\_R1}^{2} {\mathrm e}^{2}-12 \textit{\_R1} \,{\mathrm e}^{4}+20 \,{\mathrm e}^{2}+16 \,{\mathrm e}^{6}-5 \textit{\_R1} \right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -4 \,{\mathrm e}^{2}+2 x +\textit{\_R1} \right)}{-48 \,{\mathrm e}^{4}+24 \textit{\_R1} \,{\mathrm e}^{2}-3 \textit{\_R1}^{2}-20}\right)-80 \,{\mathrm e}^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{{\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -4 \,{\mathrm e}^{2}+2 x +\textit{\_R1} \right)}{-48 \,{\mathrm e}^{4}+24 \textit{\_R1} \,{\mathrm e}^{2}-3 \textit{\_R1}^{2}-20}\right)-64 \,{\mathrm e}^{6} \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{{\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -4 \,{\mathrm e}^{2}+2 x +\textit{\_R1} \right)}{-48 \,{\mathrm e}^{4}+24 \textit{\_R1} \,{\mathrm e}^{2}-3 \textit{\_R1}^{2}-20}\right)+48 \,{\mathrm e}^{4} \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\textit{\_R1} \,{\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -4 \,{\mathrm e}^{2}+2 x +\textit{\_R1} \right)}{-48 \,{\mathrm e}^{4}+24 \textit{\_R1} \,{\mathrm e}^{2}-3 \textit{\_R1}^{2}-20}\right)-12 \,{\mathrm e}^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\textit{\_R1}^{2} {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -4 \,{\mathrm e}^{2}+2 x +\textit{\_R1} \right)}{-48 \,{\mathrm e}^{4}+24 \textit{\_R1} \,{\mathrm e}^{2}-3 \textit{\_R1}^{2}-20}\right)$&$708$\\ default&$-60 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\ln \left(4 \,{\mathrm e}^{2}-2 x -\textit{\_R} \right)}{48 \,{\mathrm e}^{4}-24 \textit{\_R} \,{\mathrm e}^{2}+3 \textit{\_R}^{2}+20}\right)-5 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\textit{\_R}^{2} \ln \left(4 \,{\mathrm e}^{2}-2 x -\textit{\_R} \right)}{48 \,{\mathrm e}^{4}-24 \textit{\_R} \,{\mathrm e}^{2}+3 \textit{\_R}^{2}+20}\right)-80 \,{\mathrm e}^{4} \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\ln \left(4 \,{\mathrm e}^{2}-2 x -\textit{\_R} \right)}{48 \,{\mathrm e}^{4}-24 \textit{\_R} \,{\mathrm e}^{2}+3 \textit{\_R}^{2}+20}\right)+40 \,{\mathrm e}^{2} \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\textit{\_R} \ln \left(4 \,{\mathrm e}^{2}-2 x -\textit{\_R} \right)}{48 \,{\mathrm e}^{4}-24 \textit{\_R} \,{\mathrm e}^{2}+3 \textit{\_R}^{2}+20}\right)+20 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\textit{\_R1} \,{\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -4 \,{\mathrm e}^{2}+2 x +\textit{\_R1} \right)}{-48 \,{\mathrm e}^{4}+24 \textit{\_R1} \,{\mathrm e}^{2}-3 \textit{\_R1}^{2}-20}\right)+{\mathrm e}^{4 \,{\mathrm e}^{2}-2 x}+4 \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\left(3 \textit{\_R1}^{2} {\mathrm e}^{2}-12 \textit{\_R1} \,{\mathrm e}^{4}+20 \,{\mathrm e}^{2}+16 \,{\mathrm e}^{6}-5 \textit{\_R1} \right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -4 \,{\mathrm e}^{2}+2 x +\textit{\_R1} \right)}{-48 \,{\mathrm e}^{4}+24 \textit{\_R1} \,{\mathrm e}^{2}-3 \textit{\_R1}^{2}-20}\right)-80 \,{\mathrm e}^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{{\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -4 \,{\mathrm e}^{2}+2 x +\textit{\_R1} \right)}{-48 \,{\mathrm e}^{4}+24 \textit{\_R1} \,{\mathrm e}^{2}-3 \textit{\_R1}^{2}-20}\right)-64 \,{\mathrm e}^{6} \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{{\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -4 \,{\mathrm e}^{2}+2 x +\textit{\_R1} \right)}{-48 \,{\mathrm e}^{4}+24 \textit{\_R1} \,{\mathrm e}^{2}-3 \textit{\_R1}^{2}-20}\right)+48 \,{\mathrm e}^{4} \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\textit{\_R1} \,{\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -4 \,{\mathrm e}^{2}+2 x +\textit{\_R1} \right)}{-48 \,{\mathrm e}^{4}+24 \textit{\_R1} \,{\mathrm e}^{2}-3 \textit{\_R1}^{2}-20}\right)-12 \,{\mathrm e}^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{3}-12 \textit{\_Z}^{2} {\mathrm e}^{2}+\left(48 \,{\mathrm e}^{4}+20\right) \textit{\_Z} -80 \,{\mathrm e}^{2}-64 \,{\mathrm e}^{6}\right)}{\sum}\frac{\textit{\_R1}^{2} {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -4 \,{\mathrm e}^{2}+2 x +\textit{\_R1} \right)}{-48 \,{\mathrm e}^{4}+24 \textit{\_R1} \,{\mathrm e}^{2}-3 \textit{\_R1}^{2}-20}\right)$&$708$\\ \hline \end{longtable}"," ",0,"exp(4*exp(2)-2*x)-3*ln(x)-ln(x^2+5)","A"
5274,1,28,24,0.093000," ","int(1/10*((4*x^2+23*x+20)*exp(2/x)^2-2*x^3-10*x^2)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5+2 x}{10 x^{2}}-\frac{\left(5+2 x \right) {\mathrm e}^{\frac{4}{x}}}{10 x^{3}}$&$28$\\ derivativedivides&$\frac{1}{2 x^{2}}+\frac{1}{5 x}-\frac{{\mathrm e}^{\frac{4}{x}}}{5 x^{2}}-\frac{{\mathrm e}^{\frac{4}{x}}}{2 x^{3}}$&$38$\\ default&$\frac{1}{2 x^{2}}+\frac{1}{5 x}-\frac{{\mathrm e}^{\frac{4}{x}}}{5 x^{2}}-\frac{{\mathrm e}^{\frac{4}{x}}}{2 x^{3}}$&$38$\\ norman&$\frac{\frac{x^{2}}{2}+\frac{x^{3}}{5}-\frac{x^{2} {\mathrm e}^{\frac{4}{x}}}{5}-\frac{x \,{\mathrm e}^{\frac{4}{x}}}{2}}{x^{4}}$&$40$\\ \hline \end{longtable}"," ",0,"1/10*(5+2*x)/x^2-1/10*(5+2*x)/x^3*exp(4/x)","A"
5275,1,19,19,0.055000," ","int(((-16*x^2+64*x-32)*exp(x)-16*x^2+64*x-64)/(x^4-4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-32+16 x -16 \,{\mathrm e}^{x}}{\left(x -2\right) x}$&$19$\\ risch&$\frac{16}{x}-\frac{16 \,{\mathrm e}^{x}}{\left(x -2\right) x}$&$19$\\ default&$\frac{16}{x}-\frac{8 \,{\mathrm e}^{x}}{x -2}+\frac{8 \,{\mathrm e}^{x}}{x}$&$23$\\ \hline \end{longtable}"," ",0,"(-32+16*x-16*exp(x))/(x-2)/x","A"
5276,1,28,21,0.048000," ","int(((2*x^2-4*x)*exp(exp(9*x^4))-36*x^5*exp(9*x^4)-x^2+2*x)/exp(x)/exp(exp(9*x^4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x^{2} {\mathrm e}^{-x}+x^{2} {\mathrm e}^{-x -{\mathrm e}^{9 x^{4}}}$&$28$\\ \hline \end{longtable}"," ",0,"-2*x^2*exp(-x)+x^2*exp(-x-exp(9*x^4))","A"
5277,1,10,10,0.034000," ","int((11*exp(x)+18)/(5*exp(x)+15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 x}{5}+\ln \left(3+{\mathrm e}^{x}\right)$&$10$\\ derivativedivides&$\ln \left(3+{\mathrm e}^{x}\right)+\frac{6 \ln \left({\mathrm e}^{x}\right)}{5}$&$12$\\ default&$\ln \left(3+{\mathrm e}^{x}\right)+\frac{6 \ln \left({\mathrm e}^{x}\right)}{5}$&$12$\\ norman&$\frac{6 x}{5}+\ln \left(5 \,{\mathrm e}^{x}+15\right)$&$12$\\ \hline \end{longtable}"," ",0,"6/5*x+ln(3+exp(x))","A"
5278,1,44,28,0.241000," ","int(((-4*x-6)*ln(1/(3*(2*x+1)*ln(2)-8*x-4))+4*x^2+6*x)/(2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\ln \left(\frac{1}{3 \left(2 x +1\right) \ln \left(2\right)-8 x -4}\right)^{2}-2 x \ln \left(\frac{1}{3 \left(2 x +1\right) \ln \left(2\right)-8 x -4}\right)$&$44$\\ risch&$x^{2}+2 x -\ln \left(2 x +1\right)+\frac{3 \ln \left(2\right) \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)^{2}}{3 \ln \left(2\right)-4}-\frac{4 \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)^{2}}{3 \ln \left(2\right)-4}-\frac{6 \ln \left(2\right) \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right) x}{3 \ln \left(2\right)-4}-\frac{3 \ln \left(2\right) \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)}{3 \ln \left(2\right)-4}-\frac{6 \ln \left(2\right) x}{3 \ln \left(2\right)-4}+\frac{8 \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right) x}{3 \ln \left(2\right)-4}-\frac{3 \ln \left(2\right)}{3 \ln \left(2\right)-4}+\frac{4 \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)}{3 \ln \left(2\right)-4}+\frac{8 x}{3 \ln \left(2\right)-4}+\frac{4}{3 \ln \left(2\right)-4}$&$236$\\ derivativedivides&$\frac{9 \ln \left(2\right)^{2} \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)^{2}}{\left(3 \ln \left(2\right)-4\right)^{2}}+\frac{9 \ln \left(2\right)^{2} \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)}{\left(3 \ln \left(2\right)-4\right)^{2}}-\frac{24 \ln \left(2\right) \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)^{2}}{\left(3 \ln \left(2\right)-4\right)^{2}}+\frac{3 \ln \left(2\right) \left(-\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right) \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)-\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)\right)}{\left(3 \ln \left(2\right)-4\right)^{2}}-\frac{24 \ln \left(2\right) \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)}{\left(3 \ln \left(2\right)-4\right)^{2}}+\frac{16 \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)^{2}}{\left(3 \ln \left(2\right)-4\right)^{2}}+\frac{3 \left(2 x +1\right) \ln \left(2\right)}{2 \left(3 \ln \left(2\right)-4\right)}-\frac{4 \left(-\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right) \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)-\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)\right)}{\left(3 \ln \left(2\right)-4\right)^{2}}+\frac{16 \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)}{\left(3 \ln \left(2\right)-4\right)^{2}}-\frac{2 \left(2 x +1\right)}{3 \ln \left(2\right)-4}+\frac{\left(2 x +1\right)^{2}}{4}$&$333$\\ default&$\frac{9 \ln \left(2\right)^{2} \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)^{2}}{\left(3 \ln \left(2\right)-4\right)^{2}}+\frac{9 \ln \left(2\right)^{2} \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)}{\left(3 \ln \left(2\right)-4\right)^{2}}-\frac{24 \ln \left(2\right) \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)^{2}}{\left(3 \ln \left(2\right)-4\right)^{2}}+\frac{3 \ln \left(2\right) \left(-\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right) \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)-\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)\right)}{\left(3 \ln \left(2\right)-4\right)^{2}}-\frac{24 \ln \left(2\right) \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)}{\left(3 \ln \left(2\right)-4\right)^{2}}+\frac{16 \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)^{2}}{\left(3 \ln \left(2\right)-4\right)^{2}}+\frac{3 \left(2 x +1\right) \ln \left(2\right)}{2 \left(3 \ln \left(2\right)-4\right)}-\frac{4 \left(-\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right) \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)-\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)\right)}{\left(3 \ln \left(2\right)-4\right)^{2}}+\frac{16 \ln \left(\frac{1}{\left(2 x +1\right) \left(3 \ln \left(2\right)-4\right)}\right)}{\left(3 \ln \left(2\right)-4\right)^{2}}-\frac{2 \left(2 x +1\right)}{3 \ln \left(2\right)-4}+\frac{\left(2 x +1\right)^{2}}{4}$&$333$\\ \hline \end{longtable}"," ",0,"x^2+ln(1/(3*(2*x+1)*ln(2)-8*x-4))^2-2*x*ln(1/(3*(2*x+1)*ln(2)-8*x-4))","A"
5279,1,28,25,0.142000," ","int((4*x^2*exp(5)*exp(x^2)-2*x+2)*exp(exp(5)*exp(x^2)-x)*exp(2*x*exp(exp(5)*exp(x^2)-x))+(x^3+3*x^2)*exp(x)-6*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x} x^{3}+{\mathrm e}^{2 x \,{\mathrm e}^{{\mathrm e}^{x^{2}+5}-x}}-2 x^{3}$&$28$\\ default&${\mathrm e}^{x} x^{3}+{\mathrm e}^{2 x \,{\mathrm e}^{{\mathrm e}^{5} {\mathrm e}^{x^{2}}-x}}-2 x^{3}$&$29$\\ \hline \end{longtable}"," ",0,"exp(x)*x^3+exp(2*x*exp(exp(x^2+5)-x))-2*x^3","A"
5280,1,13,13,0.170000," ","int((-2*ln(x)+2+x)/(x^2+2*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(x \right)\right)+\ln \left(2+x \right)-\ln \left(x \right)$&$13$\\ norman&$\ln \left(\ln \left(x \right)\right)+\ln \left(2+x \right)-\ln \left(x \right)$&$13$\\ risch&$\ln \left(\ln \left(x \right)\right)+\ln \left(2+x \right)-\ln \left(x \right)$&$13$\\ \hline \end{longtable}"," ",0,"ln(ln(x))+ln(2+x)-ln(x)","A"
5281,1,22,21,0.029000," ","int(((-8*x^3+32*x^2-x)*exp(12*exp(5)+4*x^2-8)+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\left(-x +4\right) {\mathrm e}^{12 \,{\mathrm e}^{5}+4 x^{2}-8}$&$22$\\ norman&$-x \,{\mathrm e}^{12 \,{\mathrm e}^{5}+4 x^{2}-8}+4 \,{\mathrm e}^{12 \,{\mathrm e}^{5}+4 x^{2}-8}+\ln \left(x \right)$&$33$\\ default&$\ln \left(x \right)-\frac{{\mathrm e}^{12 \,{\mathrm e}^{5}} {\mathrm e}^{-8} \sqrt{\pi}\, \erfi \left(2 x \right)}{4}+4 \,{\mathrm e}^{12 \,{\mathrm e}^{5}} {\mathrm e}^{4 x^{2}} {\mathrm e}^{-8}-8 \,{\mathrm e}^{12 \,{\mathrm e}^{5}} {\mathrm e}^{-8} \left(\frac{x \,{\mathrm e}^{4 x^{2}}}{8}-\frac{\sqrt{\pi}\, \erfi \left(2 x \right)}{32}\right)$&$63$\\ \hline \end{longtable}"," ",0,"ln(x)+(-x+4)*exp(12*exp(5)+4*x^2-8)","A"
5282,1,1110,35,0.801000," ","int(((exp(x)*(6+3*x)+12*x^3+72*x^2+144*x+96)*ln((25*exp(x)^2+(200*x^2+800*x+800)*exp(x)+400*x^4+3200*x^3+9600*x^2+12800*x+6400)/(x^6+8*x^5+24*x^4+32*x^3+16*x^2)/exp(x)^2)+(-18*x^2-30*x-12)*exp(x)-24*x^5-192*x^4-600*x^3-912*x^2-672*x-192)/((5*x^3+20*x^2+25*x+10)*exp(x)+20*x^5+160*x^4+500*x^3+760*x^2+560*x+160),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 \ln \left({\mathrm e}^{x}\right)}{5 \left(x +1\right)}-\frac{3 \left(4 x +i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 \ln \left(5\right)+8 \ln \left(2\right)+4 x^{2}+4 x \ln \left(x \right)+2 i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)\right) \mathrm{csgn}\left(i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}\right)^{2}-2 i \pi  \,\mathrm{csgn}\left(i \left(2+x \right)\right) \mathrm{csgn}\left(i \left(2+x \right)^{2}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{-2 x} \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}}{\left(2+x \right)^{4}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2} {\mathrm e}^{-2 x}}{x^{2} \left(2+x \right)^{4}}\right)^{2}-2 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2} {\mathrm e}^{-2 x}}{x^{2} \left(2+x \right)^{4}}\right)^{2}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}}{\left(2+x \right)^{4}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-2 x} \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}}{\left(2+x \right)^{4}}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-2 x} \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}}{\left(2+x \right)^{4}}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{\left(2+x \right)^{4}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}}{\left(2+x \right)^{4}}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}}{\left(2+x \right)^{4}}\right)^{2}+i \pi  \mathrm{csgn}\left(i \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)^{2}\right)-i \pi  \,\mathrm{csgn}\left(i \left(2+x \right)\right) \mathrm{csgn}\left(i \left(2+x \right)^{3}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(2+x \right)^{2}\right) \mathrm{csgn}\left(i \left(2+x \right)^{3}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(2+x \right)\right) \mathrm{csgn}\left(i \left(2+x \right)^{4}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(2+x \right)^{3}\right) \mathrm{csgn}\left(i \left(2+x \right)^{4}\right)^{2}-i \pi  \mathrm{csgn}\left(i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+8 x \ln \left(2+x \right)+i \pi  \,\mathrm{csgn}\left(i \left(2+x \right)\right) \mathrm{csgn}\left(i \left(2+x \right)^{3}\right) \mathrm{csgn}\left(i \left(2+x \right)^{4}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{\left(2+x \right)^{4}}\right) \mathrm{csgn}\left(i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}}{\left(2+x \right)^{4}}\right)+4 \ln \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)-i \pi  \mathrm{csgn}\left(i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}\right)^{3}+i \pi  \mathrm{csgn}\left(i \left(2+x \right)^{2}\right)^{3}+i \pi  \mathrm{csgn}\left(i \left(2+x \right)^{4}\right)^{3}+i \pi  \mathrm{csgn}\left(i \left(2+x \right)^{3}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}}{\left(2+x \right)^{4}}\right)^{3}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-4 \ln \left(4 x^{2}+{\mathrm e}^{x}+16 x +16\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2} {\mathrm e}^{-2 x}}{x^{2} \left(2+x \right)^{4}}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-2 x} \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}}{\left(2+x \right)^{4}}\right)^{3}-4 \ln \left(4 x^{2}+{\mathrm e}^{x}+16 x +16\right) x -i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}}{\left(2+x \right)^{4}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-2 x} \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}}{\left(2+x \right)^{4}}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-2 x} \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2}}{\left(2+x \right)^{4}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4 x +\frac{{\mathrm e}^{x}}{4}+4\right)^{2} {\mathrm e}^{-2 x}}{x^{2} \left(2+x \right)^{4}}\right)+i \pi  \,\mathrm{csgn}\left(i \left(2+x \right)\right) \mathrm{csgn}\left(i \left(2+x \right)^{2}\right) \mathrm{csgn}\left(i \left(2+x \right)^{3}\right)\right)}{10 \left(x +1\right)}$&$1110$\\ \hline \end{longtable}"," ",0,"6/5/(x+1)*ln(exp(x))-3/10*(4*x+4*ln(5)+8*ln(2)+4*x^2+4*x*ln(x)+I*Pi*csgn(I*exp(-2*x)*(x^2+4*x+1/4*exp(x)+4)^2/(2+x)^4)*csgn(I/x^2*(x^2+4*x+1/4*exp(x)+4)^2/(2+x)^4*exp(-2*x))^2-2*I*Pi*csgn(I*exp(x))*csgn(I*exp(2*x))^2+I*Pi*csgn(I/x^2)*csgn(I/x^2*(x^2+4*x+1/4*exp(x)+4)^2/(2+x)^4*exp(-2*x))^2+I*Pi*csgn(I*exp(x))^2*csgn(I*exp(2*x))+I*Pi*csgn(I/(2+x)^4*(x^2+4*x+1/4*exp(x)+4)^2)*csgn(I*exp(-2*x)*(x^2+4*x+1/4*exp(x)+4)^2/(2+x)^4)^2+I*Pi*csgn(I*exp(-2*x))*csgn(I*exp(-2*x)*(x^2+4*x+1/4*exp(x)+4)^2/(2+x)^4)^2+I*Pi*csgn(I/(2+x)^4)*csgn(I/(2+x)^4*(x^2+4*x+1/4*exp(x)+4)^2)^2+I*Pi*csgn(I*(x^2+4*x+1/4*exp(x)+4)^2)*csgn(I/(2+x)^4*(x^2+4*x+1/4*exp(x)+4)^2)^2+I*Pi*csgn(I*(2+x))^2*csgn(I*(2+x)^2)-I*Pi*csgn(I*(2+x))*csgn(I*(2+x)^3)^2-I*Pi*csgn(I*(2+x)^2)*csgn(I*(2+x)^3)^2-I*Pi*csgn(I*(2+x))*csgn(I*(2+x)^4)^2-I*Pi*csgn(I*(2+x)^3)*csgn(I*(2+x)^4)^2-I*Pi*csgn(I*(x^2+4*x+1/4*exp(x)+4))^2*csgn(I*(x^2+4*x+1/4*exp(x)+4)^2)+2*I*Pi*csgn(I*(x^2+4*x+1/4*exp(x)+4))*csgn(I*(x^2+4*x+1/4*exp(x)+4)^2)^2-2*I*Pi*csgn(I*(2+x))*csgn(I*(2+x)^2)^2-2*I*Pi*csgn(I*x)*csgn(I*x^2)^2+I*Pi*csgn(I*x)^2*csgn(I*x^2)+8*x*ln(2+x)+4*ln(x^2+4*x+1/4*exp(x)+4)-I*Pi*csgn(I/x^2*(x^2+4*x+1/4*exp(x)+4)^2/(2+x)^4*exp(-2*x))^3-4*ln(4*x^2+exp(x)+16*x+16)-4*ln(4*x^2+exp(x)+16*x+16)*x-I*Pi*csgn(I*exp(-2*x)*(x^2+4*x+1/4*exp(x)+4)^2/(2+x)^4)^3+I*Pi*csgn(I*x^2)^3-I*Pi*csgn(I*(x^2+4*x+1/4*exp(x)+4)^2)^3+I*Pi*csgn(I*(2+x)^2)^3+I*Pi*csgn(I*(2+x)^4)^3+I*Pi*csgn(I*(2+x)^3)^3-I*Pi*csgn(I/(2+x)^4*(x^2+4*x+1/4*exp(x)+4)^2)^3-I*Pi*csgn(I*exp(-2*x))*csgn(I/(2+x)^4*(x^2+4*x+1/4*exp(x)+4)^2)*csgn(I*exp(-2*x)*(x^2+4*x+1/4*exp(x)+4)^2/(2+x)^4)+I*Pi*csgn(I*exp(2*x))^3-I*Pi*csgn(I/x^2)*csgn(I*exp(-2*x)*(x^2+4*x+1/4*exp(x)+4)^2/(2+x)^4)*csgn(I/x^2*(x^2+4*x+1/4*exp(x)+4)^2/(2+x)^4*exp(-2*x))+I*Pi*csgn(I*(2+x))*csgn(I*(2+x)^2)*csgn(I*(2+x)^3)+I*Pi*csgn(I*(2+x))*csgn(I*(2+x)^3)*csgn(I*(2+x)^4)-I*Pi*csgn(I/(2+x)^4)*csgn(I*(x^2+4*x+1/4*exp(x)+4)^2)*csgn(I/(2+x)^4*(x^2+4*x+1/4*exp(x)+4)^2))/(x+1)","C"
5283,1,13,12,0.037000," ","int(4/((4*x-1)*ln(-20*x+5)-20*x+5)/ln(4*ln(-20*x+5)-20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(4 \ln \left(-20 x +5\right)-20\right)\right)$&$13$\\ risch&$\ln \left(\ln \left(4 \ln \left(-20 x +5\right)-20\right)\right)$&$13$\\ \hline \end{longtable}"," ",0,"ln(ln(4*ln(-20*x+5)-20))","A"
5284,1,16,21,0.024000," ","int((-5*ln(x)-2*x^3+10)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-5-x^{3}+5 \ln \left(x \right)}{x}$&$16$\\ default&$-x^{2}+\frac{5 \ln \left(x \right)}{x}-\frac{5}{x}$&$19$\\ risch&$\frac{5 \ln \left(x \right)}{x}-\frac{x^{3}+5}{x}$&$19$\\ \hline \end{longtable}"," ",0,"(-5-x^3+5*ln(x))/x","A"
5285,0,0,23,0.015000," ","int((((-x^3+5*x)*ln(-x^2+5)*ln(ln(-x^2+5))+(4*x^2-20)*ln(-x^2+5)+2*x^3)*(-x*ln(ln(-x^2+5))+2)^(1/2)+(2*x^5-10*x^3)*ln(-x^2+5)*ln(ln(-x^2+5))+(-4*x^4+20*x^2)*ln(-x^2+5))/((2*x^5-10*x^3)*ln(-x^2+5)*ln(ln(-x^2+5))+(-4*x^4+20*x^2)*ln(-x^2+5)),x)","\[\int \frac{\left(\left(-x^{3}+5 x \right) \ln \left(-x^{2}+5\right) \ln \left(\ln \left(-x^{2}+5\right)\right)+\left(4 x^{2}-20\right) \ln \left(-x^{2}+5\right)+2 x^{3}\right) \sqrt{-x \ln \left(\ln \left(-x^{2}+5\right)\right)+2}+\left(2 x^{5}-10 x^{3}\right) \ln \left(-x^{2}+5\right) \ln \left(\ln \left(-x^{2}+5\right)\right)+\left(-4 x^{4}+20 x^{2}\right) \ln \left(-x^{2}+5\right)}{\left(2 x^{5}-10 x^{3}\right) \ln \left(-x^{2}+5\right) \ln \left(\ln \left(-x^{2}+5\right)\right)+\left(-4 x^{4}+20 x^{2}\right) \ln \left(-x^{2}+5\right)}\, dx\]"," ",0,"int((((-x^3+5*x)*ln(-x^2+5)*ln(ln(-x^2+5))+(4*x^2-20)*ln(-x^2+5)+2*x^3)*(-x*ln(ln(-x^2+5))+2)^(1/2)+(2*x^5-10*x^3)*ln(-x^2+5)*ln(ln(-x^2+5))+(-4*x^4+20*x^2)*ln(-x^2+5))/((2*x^5-10*x^3)*ln(-x^2+5)*ln(ln(-x^2+5))+(-4*x^4+20*x^2)*ln(-x^2+5)),x)","F"
5286,1,198,23,0.303000," ","int((((x^2+x)*exp(x)^5*ln(x+1)^4+(-x^3-x^2)*exp(x))*ln(-2/3*exp(x)^4*ln(x+1)^4+2/3*x)*ln(x*ln(-2/3*exp(x)^4*ln(x+1)^4+2/3*x))+((x+1)*exp(x)^5*ln(x+1)^4+(-x^2-x)*exp(x))*ln(-2/3*exp(x)^4*ln(x+1)^4+2/3*x)+(4*x^2+4*x)*exp(x)^5*ln(x+1)^4+4*x*exp(x)^5*ln(x+1)^3+(-x^2-x)*exp(x))/((x^2+x)*exp(x)^4*ln(x+1)^4-x^3-x^2)/ln(-2/3*exp(x)^4*ln(x+1)^4+2/3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x} \ln \left(\ln \left(-\frac{2 \,{\mathrm e}^{4 x} \ln \left(x +1\right)^{4}}{3}+\frac{2 x}{3}\right)\right)+{\mathrm e}^{x} \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(-\frac{2 \,{\mathrm e}^{4 x} \ln \left(x +1\right)^{4}}{3}+\frac{2 x}{3}\right)\right) \mathrm{csgn}\left(i x \ln \left(-\frac{2 \,{\mathrm e}^{4 x} \ln \left(x +1\right)^{4}}{3}+\frac{2 x}{3}\right)\right) {\mathrm e}^{x}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(-\frac{2 \,{\mathrm e}^{4 x} \ln \left(x +1\right)^{4}}{3}+\frac{2 x}{3}\right)\right)^{2} {\mathrm e}^{x}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(-\frac{2 \,{\mathrm e}^{4 x} \ln \left(x +1\right)^{4}}{3}+\frac{2 x}{3}\right)\right) \mathrm{csgn}\left(i x \ln \left(-\frac{2 \,{\mathrm e}^{4 x} \ln \left(x +1\right)^{4}}{3}+\frac{2 x}{3}\right)\right)^{2} {\mathrm e}^{x}}{2}-\frac{i \pi  \mathrm{csgn}\left(i x \ln \left(-\frac{2 \,{\mathrm e}^{4 x} \ln \left(x +1\right)^{4}}{3}+\frac{2 x}{3}\right)\right)^{3} {\mathrm e}^{x}}{2}$&$198$\\ \hline \end{longtable}"," ",0,"exp(x)*ln(ln(-2/3*exp(4*x)*ln(x+1)^4+2/3*x))+exp(x)*ln(x)-1/2*I*Pi*csgn(I*x)*csgn(I*ln(-2/3*exp(4*x)*ln(x+1)^4+2/3*x))*csgn(I*x*ln(-2/3*exp(4*x)*ln(x+1)^4+2/3*x))*exp(x)+1/2*I*Pi*csgn(I*x)*csgn(I*x*ln(-2/3*exp(4*x)*ln(x+1)^4+2/3*x))^2*exp(x)+1/2*I*Pi*csgn(I*ln(-2/3*exp(4*x)*ln(x+1)^4+2/3*x))*csgn(I*x*ln(-2/3*exp(4*x)*ln(x+1)^4+2/3*x))^2*exp(x)-1/2*I*Pi*csgn(I*x*ln(-2/3*exp(4*x)*ln(x+1)^4+2/3*x))^3*exp(x)","C"
5287,1,75,26,0.234000," ","int((((-25*x^3+100*x^2)*ln(x)-25*x^3+50*x^2+125*x)*ln(2*x^2)+(-50*x^3+100*x^2)*ln(x)-250*x+500)*exp((-25*x^2*ln(x)-125)*ln(2*x^2)/(x-2))/(x^3-4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{25 \left(5+x^{2} \ln \left(x \right)\right) \left(-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+4 \ln \left(x \right)+2 \ln \left(2\right)\right)}{2 \left(x -2\right)}}$&$75$\\ \hline \end{longtable}"," ",0,"exp(-25/2*(5+x^2*ln(x))*(-I*Pi*csgn(I*x^2)^3+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x)^2*csgn(I*x^2)+4*ln(x)+2*ln(2))/(x-2))","C"
5288,1,40,25,0.051000," ","int((((2*x^3+x^2)*exp(x)^2+14*x^3-25)*ln(x)+(-2*x^4-2*x^3+x^2)*exp(x)^2-21*x^4+9*x^3+25)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left({\mathrm e}^{2 x} x^{2}+7 x^{3}+25\right) \ln \left(x \right)}{x}-{\mathrm e}^{2 x} x^{2}-7 x^{3}+x^{2}$&$40$\\ default&$x \,{\mathrm e}^{2 x} \ln \left(x \right)-{\mathrm e}^{2 x} x^{2}+7 x^{2} \ln \left(x \right)+x^{2}+\frac{25 \ln \left(x \right)}{x}-7 x^{3}$&$41$\\ \hline \end{longtable}"," ",0,"(exp(2*x)*x^2+7*x^3+25)/x*ln(x)-exp(2*x)*x^2-7*x^3+x^2","A"
5289,1,27,27,0.374000," ","int(((x*exp(2*x)+3*exp(4)-3*x)*ln(5/3*x*exp(2*x)+5*exp(4)-5*x)+(6*x^2-7*x-2)*exp(2*x)+(12*x-12)*exp(4)-12*x^2+9*x+6)/(((x^2-2*x)*exp(2*x)+(3*x-6)*exp(4)-3*x^2+6*x)*ln(5/3*x*exp(2*x)+5*exp(4)-5*x)+(2*x^3-4*x^2)*exp(2*x)+(6*x^2-12*x)*exp(4)-6*x^3+12*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x -2\right)+\ln \left(2 x +\ln \left(\frac{5 x \,{\mathrm e}^{2 x}}{3}+5 \,{\mathrm e}^{4}-5 x \right)\right)$&$27$\\ risch&$\ln \left(x -2\right)+\ln \left(2 x +\ln \left(\frac{5 x \,{\mathrm e}^{2 x}}{3}+5 \,{\mathrm e}^{4}-5 x \right)\right)$&$27$\\ \hline \end{longtable}"," ",0,"ln(x-2)+ln(2*x+ln(5/3*x*exp(2*x)+5*exp(4)-5*x))","A"
5290,1,27,18,0.033000," ","int(-4*exp(exp(1))^2-32*x*exp(exp(1))-48*x^2-14*x+8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(4 \,{\mathrm e}^{2 \,{\mathrm e}}+16 x \,{\mathrm e}^{{\mathrm e}}+16 x^{2}+7 x -8\right)$&$27$\\ norman&$\left(-4 \,{\mathrm e}^{2 \,{\mathrm e}}+8\right) x +\left(-16 \,{\mathrm e}^{{\mathrm e}}-7\right) x^{2}-16 x^{3}$&$29$\\ default&$-4 \,{\mathrm e}^{2 \,{\mathrm e}} x -16 x^{2} {\mathrm e}^{{\mathrm e}}-16 x^{3}-7 x^{2}+8 x$&$31$\\ risch&$-4 \,{\mathrm e}^{2 \,{\mathrm e}} x -16 x^{2} {\mathrm e}^{{\mathrm e}}-16 x^{3}-7 x^{2}+8 x$&$31$\\ \hline \end{longtable}"," ",0,"-x*(4*exp(exp(1))^2+16*x*exp(exp(1))+16*x^2+7*x-8)","A"
5291,1,12,12,0.013000," ","int((3*ln(ln(3))+1)/ln(ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x +\frac{x}{\ln \left(\ln \left(3\right)\right)}$&$12$\\ default&$\frac{\left(3 \ln \left(\ln \left(3\right)\right)+1\right) x}{\ln \left(\ln \left(3\right)\right)}$&$15$\\ norman&$\frac{\left(3 \ln \left(\ln \left(3\right)\right)+1\right) x}{\ln \left(\ln \left(3\right)\right)}$&$15$\\ \hline \end{longtable}"," ",0,"3*x+x/ln(ln(3))","A"
5292,1,20,21,0.190000," ","int(((x^3+x^2-4*x+4)*ln(1/3*x)-x^2+4)/(x^3-4*x)/ln(1/3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\ln \left(x \right)+\ln \left(x^{2}-4\right)-\ln \left(\ln \left(\frac{x}{3}\right)\right)$&$20$\\ derivativedivides&$x +\ln \left(2+x \right)-\ln \left(\frac{x}{3}\right)+\ln \left(x -2\right)-\ln \left(\ln \left(\frac{x}{3}\right)\right)$&$24$\\ default&$x +\ln \left(2+x \right)-\ln \left(\frac{x}{3}\right)+\ln \left(x -2\right)-\ln \left(\ln \left(\frac{x}{3}\right)\right)$&$24$\\ norman&$x +\ln \left(2+x \right)-\ln \left(\frac{x}{3}\right)+\ln \left(x -2\right)-\ln \left(\ln \left(\frac{x}{3}\right)\right)$&$24$\\ \hline \end{longtable}"," ",0,"x-ln(x)+ln(x^2-4)-ln(ln(1/3*x))","A"
5293,1,25,24,0.063000," ","int((((8*x^3-70*x^2+4*x)*exp(x)+4*x^4-36*x^3+3*x^2)*exp(x^2-18*x+81)^2*ln(x)+((-40*x^3+350*x^2-24*x)*exp(x)-20*x^4+180*x^3-17*x^2)*exp(x^2-18*x+81)^2)/(ln(x)^3-15*ln(x)^2+75*ln(x)-125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{2 \left(x -9\right)^{2}} \left(2 \,{\mathrm e}^{x}+x \right)}{\left(\ln \left(x \right)-5\right)^{2}}$&$25$\\ \hline \end{longtable}"," ",0,"x^2*exp(2*(x-9)^2)*(2*exp(x)+x)/(ln(x)-5)^2","A"
5294,1,21,17,0.148000," ","int(((-2*x^4+x^3)*ln(20)*exp(x)-24*x^3*ln(20))/(exp(1)^2*exp(x)^9-216*exp(1)^2*exp(x)^8+20736*exp(1)^2*exp(x)^7-1161216*exp(1)^2*exp(x)^6+41803776*exp(1)^2*exp(x)^5-1003290624*exp(1)^2*exp(x)^4+16052649984*exp(1)^2*exp(x)^3-165112971264*exp(1)^2*exp(x)^2+990677827584*exp(1)^2*exp(x)-2641807540224*exp(1)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4} \left(2 \ln \left(2\right)+\ln \left(5\right)\right) {\mathrm e}^{-2}}{4 \left(-24+{\mathrm e}^{x}\right)^{8}}$&$21$\\ \hline \end{longtable}"," ",0,"1/4*x^4*(2*ln(2)+ln(5))*exp(-2)/(-24+exp(x))^8","A"
5295,1,18,20,0.062000," ","int(((-10*x^2+25*x-10)*exp(x^2-x)-5)*exp(exp(x^2-x))-25,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-5 x +10\right) {\mathrm e}^{{\mathrm e}^{x \left(x -1\right)}}-25 x$&$18$\\ default&$-25 x -5 x \,{\mathrm e}^{{\mathrm e}^{x^{2}-x}}+10 \,{\mathrm e}^{{\mathrm e}^{x^{2}-x}}$&$28$\\ norman&$-25 x -5 x \,{\mathrm e}^{{\mathrm e}^{x^{2}-x}}+10 \,{\mathrm e}^{{\mathrm e}^{x^{2}-x}}$&$28$\\ \hline \end{longtable}"," ",0,"(-5*x+10)*exp(exp(x*(x-1)))-25*x","A"
5296,1,10,14,0.027000," ","int(1/4*(12*x^2+11)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x -\frac{11}{4 x}$&$10$\\ risch&$3 x -\frac{11}{4 x}$&$10$\\ norman&$\frac{-\frac{11}{4}+3 x^{2}}{x}$&$12$\\ gosper&$\frac{12 x^{2}-11}{4 x}$&$13$\\ \hline \end{longtable}"," ",0,"3*x-11/4/x","A"
5297,1,156,27,0.314000," ","int(((((-2*exp(x)*x-2)*ln(x)-2)*ln(-ln(3/x/ln(x))+exp(x)+6)+(6*exp(x)*x+6)*ln(x)+6)*exp(ln(-ln(3/x/ln(x))+exp(x)+6)^2-6*ln(-ln(3/x/ln(x))+exp(x)+6)+9)+2*x^2*ln(x)*ln(3/x/ln(x))+(-2*exp(x)*x^2-12*x^2)*ln(x))/(x*ln(x)*ln(3/x/ln(x))+(-exp(x)*x-6*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{{\mathrm e}^{9} {\mathrm e}^{\ln \left(-\ln \left(3\right)+\ln \left(x \right)+\ln \left(\ln \left(x \right)\right)+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)}\right) \left(-\mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)}\right)+\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)\right)}{2}+6+{\mathrm e}^{x}\right)^{2}}}{\left(-\ln \left(3\right)+\ln \left(x \right)+\ln \left(\ln \left(x \right)\right)+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)}\right) \left(-\mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)}\right)+\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)\right)}{2}+6+{\mathrm e}^{x}\right)^{6}}$&$156$\\ \hline \end{longtable}"," ",0,"x^2+1/(-ln(3)+ln(x)+ln(ln(x))+1/2*I*Pi*csgn(I/x/ln(x))*(-csgn(I/x/ln(x))+csgn(I/x))*(-csgn(I/x/ln(x))+csgn(I/ln(x)))+6+exp(x))^6*exp(9)*exp(ln(-ln(3)+ln(x)+ln(ln(x))+1/2*I*Pi*csgn(I/x/ln(x))*(-csgn(I/x/ln(x))+csgn(I/x))*(-csgn(I/x/ln(x))+csgn(I/ln(x)))+6+exp(x))^2)","C"
5298,1,17,16,0.020000," ","int((-ln(x)-90*x^2-3*x-7)/(x^2*ln(x)^3+(54*x^4+3*x^3+15*x^2)*ln(x)^2+(972*x^6+108*x^5+543*x^4+30*x^3+75*x^2)*ln(x)+5832*x^8+972*x^7+4914*x^6+541*x^5+1365*x^4+75*x^3+125*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x \left(5+18 x^{2}+x +\ln \left(x \right)\right)^{2}}$&$17$\\ \hline \end{longtable}"," ",0,"1/x/(5+18*x^2+x+ln(x))^2","A"
5299,1,22,21,0.043000," ","int(((x*ln(x)^2-1)*ln(ln(x))^2+(-x*ln(x)^2+2)*ln(ln(x))-x*ln(x)-1)/(x*ln(x)^2*ln(ln(x))^2-2*x*ln(x)^2*ln(ln(x))+x*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(x \right)+1}{\ln \left(x \right)}+\frac{x}{\ln \left(\ln \left(x \right)\right)-1}$&$22$\\ \hline \end{longtable}"," ",0,"(x*ln(x)+1)/ln(x)+x/(ln(ln(x))-1)","A"
5300,1,12,11,0.039000," ","int(((-3*x+3)*exp(x/exp(x))+exp(x))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +3 \,{\mathrm e}^{x \,{\mathrm e}^{-x}}$&$12$\\ norman&$\left({\mathrm e}^{x} x +3 \,{\mathrm e}^{x} {\mathrm e}^{x \,{\mathrm e}^{-x}}\right) {\mathrm e}^{-x}$&$22$\\ \hline \end{longtable}"," ",0,"x+3*exp(x*exp(-x))","A"
5301,1,24,21,0.471000," ","int(((3*x^2*(ln(23/3)+I*Pi)-3*x^3-9*x^2)*ln(-ln(23/3)-I*Pi+3+x)+x^3)*exp(x^3/ln(-ln(23/3)-I*Pi+3+x))*exp(exp(x^3/ln(-ln(23/3)-I*Pi+3+x)))*exp(exp(exp(x^3/ln(-ln(23/3)-I*Pi+3+x))))/(ln(23/3)+I*Pi-3-x)/ln(-ln(23/3)-I*Pi+3+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{\frac{x^{3}}{\ln \left(-\ln \left(23\right)+\ln \left(3\right)-i \pi +3+x \right)}}}}$&$24$\\ \hline \end{longtable}"," ",0,"exp(exp(exp(x^3/ln(-ln(23)+ln(3)-I*Pi+3+x))))","A"
5302,1,22,29,0.069000," ","int((-48*x^3+8*x^2-8*x-4)*exp(5)/x^2/exp(-x^2+2*x)/exp(4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-\left(x -1\right) \left(4 x^{2}+3 x +5\right)}}{x}$&$22$\\ gosper&$\frac{4 \,{\mathrm e}^{5} {\mathrm e}^{-4 x^{3}} {\mathrm e}^{x^{2}-2 x}}{x}$&$28$\\ norman&$\frac{4 \,{\mathrm e}^{5} {\mathrm e}^{-4 x^{3}} {\mathrm e}^{x^{2}-2 x}}{x}$&$28$\\ \hline \end{longtable}"," ",0,"4/x*exp(-(x-1)*(4*x^2+3*x+5))","A"
5303,1,153,25,0.244000," ","int((((ln(x)-81)*ln((-ln(x)+81)/x)-ln(x)+82)*exp(x*ln((-ln(x)+81)/x)-5)-ln(x)+81)/((4*ln(x)-324)*exp(x*ln((-ln(x)+81)/x)-5)+(-4*x+16)*ln(x)+324*x-1296)/ln(exp(x*ln((-ln(x)+81)/x)-5)-x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(x^{-x} \left(\ln \left(x \right)-81\right)^{x} {\mathrm e}^{-5} {\mathrm e}^{i x \pi} {\mathrm e}^{\frac{i x \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-81\right)}{x}\right)^{3}}{2}} {\mathrm e}^{\frac{i x \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-81\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)}{2}} {\mathrm e}^{\frac{i x \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-81\right)}{x}\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-81\right)\right)}{2}} {\mathrm e}^{-\frac{i x \pi  \,\mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-81\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-81\right)\right)}{2}} {\mathrm e}^{-i x \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-81\right)}{x}\right)^{2}}-x +4\right)\right)}{4}$&$153$\\ \hline \end{longtable}"," ",0,"1/4*ln(ln(x^(-x)*(ln(x)-81)^x*exp(-5)*exp(I*Pi*x)*exp(1/2*I*x*Pi*csgn(I*(ln(x)-81)/x)^3)*exp(1/2*I*x*Pi*csgn(I*(ln(x)-81)/x)^2*csgn(I/x))*exp(1/2*I*x*Pi*csgn(I*(ln(x)-81)/x)^2*csgn(I*(ln(x)-81)))*exp(-1/2*I*x*Pi*csgn(I*(ln(x)-81)/x)*csgn(I/x)*csgn(I*(ln(x)-81)))*exp(-I*x*Pi*csgn(I*(ln(x)-81)/x)^2)-x+4))","C"
5304,1,27,27,0.190000," ","int(1/5*((-5*x^2*ln(2)+5*x^2)*ln(8/x^2)^2+4*ln(2)*ln(8/x^2)+(2*x-8)*ln(2))/x^2/ln(2)/ln(8/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{x}{\ln \left(2\right)}+\frac{x -4}{5 x \ln \left(\frac{8}{x^{2}}\right)}$&$27$\\ norman&$\frac{-\frac{4}{5}+\frac{x}{5}-\frac{\left(\ln \left(2\right)-1\right) x^{2} \ln \left(\frac{8}{x^{2}}\right)}{\ln \left(2\right)}}{\ln \left(\frac{8}{x^{2}}\right) x}$&$37$\\ \hline \end{longtable}"," ",0,"-x+x/ln(2)+1/5*(x-4)/x/ln(8/x^2)","A"
5305,1,11,15,0.032000," ","int(-40*exp(x)^2-1/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{2}-20 \,{\mathrm e}^{2 x}$&$11$\\ norman&$-\frac{x}{2}-20 \,{\mathrm e}^{2 x}$&$11$\\ risch&$-\frac{x}{2}-20 \,{\mathrm e}^{2 x}$&$11$\\ derivativedivides&$-20 \,{\mathrm e}^{2 x}-\frac{\ln \left({\mathrm e}^{x}\right)}{2}$&$13$\\ \hline \end{longtable}"," ",0,"-1/2*x-20*exp(x)^2","A"
5306,1,19,18,0.219000," ","int(((-16*exp(8)^2+16*x-4)*ln(-exp(8)^2+x-1/4)-16*exp(8)^2-4)/(4*x^2*exp(8)^2-4*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4+4 \ln \left(-{\mathrm e}^{16}+x -\frac{1}{4}\right)}{x}$&$19$\\ risch&$\frac{4 \ln \left(-{\mathrm e}^{16}+x -\frac{1}{4}\right)}{x}+\frac{4}{x}$&$20$\\ derivativedivides&$\frac{16 \ln \left(4 x \right)}{4 \,{\mathrm e}^{16}+1}-\frac{16 \ln \left(-{\mathrm e}^{16}+x -\frac{1}{4}\right) \left(-{\mathrm e}^{16}+x -\frac{1}{4}\right)}{\left(4 \,{\mathrm e}^{16}+1\right) x}+\frac{64 \ln \left(-{\mathrm e}^{16}+x -\frac{1}{4}\right) {\mathrm e}^{16}}{\left(4 \,{\mathrm e}^{16}+1\right)^{2}}+\frac{16 \ln \left(-{\mathrm e}^{16}+x -\frac{1}{4}\right)}{\left(4 \,{\mathrm e}^{16}+1\right)^{2}}-\frac{64 \ln \left(4 x \right) {\mathrm e}^{16}}{\left(4 \,{\mathrm e}^{16}+1\right)^{2}}-\frac{16 \ln \left(4 x \right)}{\left(4 \,{\mathrm e}^{16}+1\right)^{2}}+\frac{16 \,{\mathrm e}^{16}}{\left(4 \,{\mathrm e}^{16}+1\right) x}+\frac{4}{\left(4 \,{\mathrm e}^{16}+1\right) x}$&$226$\\ default&$\frac{16 \ln \left(4 x \right)}{4 \,{\mathrm e}^{16}+1}-\frac{16 \ln \left(-{\mathrm e}^{16}+x -\frac{1}{4}\right) \left(-{\mathrm e}^{16}+x -\frac{1}{4}\right)}{\left(4 \,{\mathrm e}^{16}+1\right) x}+\frac{64 \ln \left(-{\mathrm e}^{16}+x -\frac{1}{4}\right) {\mathrm e}^{16}}{\left(4 \,{\mathrm e}^{16}+1\right)^{2}}+\frac{16 \ln \left(-{\mathrm e}^{16}+x -\frac{1}{4}\right)}{\left(4 \,{\mathrm e}^{16}+1\right)^{2}}-\frac{64 \ln \left(4 x \right) {\mathrm e}^{16}}{\left(4 \,{\mathrm e}^{16}+1\right)^{2}}-\frac{16 \ln \left(4 x \right)}{\left(4 \,{\mathrm e}^{16}+1\right)^{2}}+\frac{16 \,{\mathrm e}^{16}}{\left(4 \,{\mathrm e}^{16}+1\right) x}+\frac{4}{\left(4 \,{\mathrm e}^{16}+1\right) x}$&$226$\\ \hline \end{longtable}"," ",0,"(4+4*ln(-exp(8)^2+x-1/4))/x","A"
5307,1,115,20,0.322000," ","int((-24*x^2*exp(x^2+4)*exp(3/(exp(x^2+4)^4+(-4*exp(1)-12)*exp(x^2+4)^3+(6*exp(1)^2+36*exp(1)+54)*exp(x^2+4)^2+(-4*exp(1)^3-36*exp(1)^2-108*exp(1)-108)*exp(x^2+4)+exp(1)^4+12*exp(1)^3+54*exp(1)^2+108*exp(1)+81))+exp(x^2+4)^5+(-5*exp(1)-15)*exp(x^2+4)^4+(10*exp(1)^2+60*exp(1)+90)*exp(x^2+4)^3+(-10*exp(1)^3-90*exp(1)^2-270*exp(1)-270)*exp(x^2+4)^2+(5*exp(1)^4+60*exp(1)^3+270*exp(1)^2+540*exp(1)+405)*exp(x^2+4)-exp(1)^5-15*exp(1)^4-90*exp(1)^3-270*exp(1)^2-405*exp(1)-243)*exp(exp(3/(exp(x^2+4)^4+(-4*exp(1)-12)*exp(x^2+4)^3+(6*exp(1)^2+36*exp(1)+54)*exp(x^2+4)^2+(-4*exp(1)^3-36*exp(1)^2-108*exp(1)-108)*exp(x^2+4)+exp(1)^4+12*exp(1)^3+54*exp(1)^2+108*exp(1)+81)))/(exp(x^2+4)^5+(-5*exp(1)-15)*exp(x^2+4)^4+(10*exp(1)^2+60*exp(1)+90)*exp(x^2+4)^3+(-10*exp(1)^3-90*exp(1)^2-270*exp(1)-270)*exp(x^2+4)^2+(5*exp(1)^4+60*exp(1)^3+270*exp(1)^2+540*exp(1)+405)*exp(x^2+4)-exp(1)^5-15*exp(1)^4-90*exp(1)^3-270*exp(1)^2-405*exp(1)-243),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{{\mathrm e}^{\frac{3}{-36 \,{\mathrm e}^{x^{2}+6}+6 \,{\mathrm e}^{2 x^{2}+10}-108 \,{\mathrm e}^{x^{2}+5}-4 \,{\mathrm e}^{3 x^{2}+13}+36 \,{\mathrm e}^{2 x^{2}+9}-4 \,{\mathrm e}^{x^{2}+7}+54 \,{\mathrm e}^{2}+{\mathrm e}^{4}+108 \,{\mathrm e}+12 \,{\mathrm e}^{3}-108 \,{\mathrm e}^{x^{2}+4}+{\mathrm e}^{4 x^{2}+16}-12 \,{\mathrm e}^{3 x^{2}+12}+54 \,{\mathrm e}^{2 x^{2}+8}+81}}}$&$115$\\ \hline \end{longtable}"," ",0,"x*exp(exp(3/(-36*exp(x^2+6)+6*exp(2*x^2+10)-108*exp(x^2+5)-4*exp(3*x^2+13)+36*exp(2*x^2+9)-4*exp(x^2+7)+54*exp(2)+exp(4)+108*exp(1)+12*exp(3)-108*exp(x^2+4)+exp(4*x^2+16)-12*exp(3*x^2+12)+54*exp(2*x^2+8)+81)))","B"
5308,1,32,28,0.369000," ","int(((6*x-6)*ln(2)^2+(36*x-36)*ln(2)+(6-6*x)*exp(1/2)-6*x^3+12*x^2+66*x-54)*exp(x)/(x^2*ln(2)^4+12*x^2*ln(2)^3+(-2*x^2*exp(1/2)-2*x^4-2*x^3+54*x^2)*ln(2)^2+(-12*x^2*exp(1/2)-12*x^4-12*x^3+108*x^2)*ln(2)+x^2*exp(1/2)^2+(2*x^4+2*x^3-18*x^2)*exp(1/2)+x^6+2*x^5-17*x^4-18*x^3+81*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{6 \,{\mathrm e}^{x}}{x \left(\ln \left(2\right)^{2}-x^{2}+6 \ln \left(2\right)-{\mathrm e}^{\frac{1}{2}}-x +9\right)}$&$32$\\ norman&$\frac{6 \,{\mathrm e}^{x}}{x \left(\ln \left(2\right)^{2}-x^{2}+6 \ln \left(2\right)-{\mathrm e}^{\frac{1}{2}}-x +9\right)}$&$32$\\ default&$\text{Expression too large to display}$&$57201$\\ \hline \end{longtable}"," ",0,"6*exp(x)/x/(ln(2)^2-x^2+6*ln(2)-exp(1/2)-x+9)","A"
5309,1,17,16,0.024000," ","int((-36*x^2-72*x)/(x^3+2*x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-36 \ln \left(x^{2}+x +1\right)+36 \ln \left(x +1\right)$&$17$\\ norman&$-36 \ln \left(x^{2}+x +1\right)+36 \ln \left(x +1\right)$&$17$\\ risch&$-36 \ln \left(x^{2}+x +1\right)+36 \ln \left(x +1\right)$&$17$\\ \hline \end{longtable}"," ",0,"-36*ln(x^2+x+1)+36*ln(x+1)","A"
5310,1,10,12,0.255000," ","int((5+2*x)/(x^2+5*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(x^{2}+5 x +4\right)$&$10$\\ default&$\ln \left(x^{2}+5 x +4\right)$&$10$\\ norman&$\ln \left(x +1\right)+\ln \left(4+x \right)$&$10$\\ risch&$\ln \left(x^{2}+5 x +4\right)$&$10$\\ \hline \end{longtable}"," ",0,"ln(x^2+5*x+4)","A"
5311,1,19,19,0.143000," ","int(1/60*((-x*exp(3)+2)*exp(x*exp(3))+60*exp(x)*x^3-12*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{5 x}+{\mathrm e}^{x}-\frac{{\mathrm e}^{x \,{\mathrm e}^{3}}}{60 x^{2}}$&$19$\\ norman&$\frac{{\mathrm e}^{x} x^{2}+\frac{x}{5}-\frac{{\mathrm e}^{x \,{\mathrm e}^{3}}}{60}}{x^{2}}$&$22$\\ default&$\frac{1}{5 x}+\frac{{\mathrm e}^{6} \left(-\frac{{\mathrm e}^{x \,{\mathrm e}^{3}} {\mathrm e}^{-6}}{2 x^{2}}-\frac{{\mathrm e}^{x \,{\mathrm e}^{3}} {\mathrm e}^{-3}}{2 x}-\frac{\expIntegralEi \left(1, -x \,{\mathrm e}^{3}\right)}{2}\right)}{30}-\frac{{\mathrm e}^{6} \left(-\frac{{\mathrm e}^{x \,{\mathrm e}^{3}} {\mathrm e}^{-3}}{x}-\expIntegralEi \left(1, -x \,{\mathrm e}^{3}\right)\right)}{60}+{\mathrm e}^{x}$&$83$\\ \hline \end{longtable}"," ",0,"1/5/x+exp(x)-1/60/x^2*exp(x*exp(3))","A"
5312,1,13,27,0.052000," ","int((4*ln(3)+x^3)/x^3/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{\ln \left(3\right)}-\frac{2}{x^{2}}$&$13$\\ default&$\frac{x -\frac{2 \ln \left(3\right)}{x^{2}}}{\ln \left(3\right)}$&$15$\\ norman&$\frac{-2+\frac{x^{3}}{\ln \left(3\right)}}{x^{2}}$&$15$\\ gosper&$-\frac{-x^{3}+2 \ln \left(3\right)}{x^{2} \ln \left(3\right)}$&$20$\\ \hline \end{longtable}"," ",0,"x/ln(3)-2/x^2","A"
5313,1,55,22,0.263000," ","int((-x*exp(3)*exp(x)*ln(x^2)*ln(ln(x^2))+(-x*exp(x)*ln(x)+((4*x^2+4*x)*exp(3)-1)*exp(x))*ln(x^2)-2*exp(x)*exp(3))/x/ln(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{3+x} x -\ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right) {\mathrm e}^{3+x}-{\mathrm e}^{x} \ln \left(x \right)$&$55$\\ \hline \end{longtable}"," ",0,"4*exp(3+x)*x-ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)*exp(3+x)-exp(x)*ln(x)","C"
5314,1,20,20,0.141000," ","int((-ln(x)-exp(exp(20))-x^2+1)/(ln(x)^2+(2*exp(exp(20))-2*x^2+4*x)*ln(x)+exp(exp(20))^2+(-2*x^2+4*x)*exp(exp(20))+x^4-4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x}{-x^{2}+\ln \left(x \right)+{\mathrm e}^{{\mathrm e}^{20}}+2 x}$&$20$\\ risch&$-\frac{x}{-x^{2}+\ln \left(x \right)+{\mathrm e}^{{\mathrm e}^{20}}+2 x}$&$20$\\ \hline \end{longtable}"," ",0,"-x/(-x^2+ln(x)+exp(exp(20))+2*x)","A"
5315,1,18,13,0.063000," ","int((4*x^3-12*x^2+8*x)/(exp(1)+x^4-4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left({\mathrm e}+x^{4}-4 x^{3}+4 x^{2}\right)$&$18$\\ default&$\ln \left({\mathrm e}+x^{4}-4 x^{3}+4 x^{2}\right)$&$18$\\ norman&$\ln \left({\mathrm e}+x^{4}-4 x^{3}+4 x^{2}\right)$&$18$\\ risch&$\ln \left({\mathrm e}+x^{4}-4 x^{3}+4 x^{2}\right)$&$18$\\ \hline \end{longtable}"," ",0,"ln(exp(1)+x^4-4*x^3+4*x^2)","A"
5316,1,18,20,0.133000," ","int(((46875*x^3*exp(3)-234375*x^3)*ln(1/2*x)+(-15625*x^3-15625)*exp(3)+78125*x^3+78125)/(x^7+2*x^4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{15625 \left({\mathrm e}^{3}-5\right) \ln \left(\frac{x}{2}\right)}{x^{3}+1}$&$18$\\ norman&$\frac{\left(-15625 \,{\mathrm e}^{3}+78125\right) \ln \left(\frac{x}{2}\right)}{x^{3}+1}$&$19$\\ derivativedivides&$\frac{78125 i \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right) \sqrt{3}\, x^{2}}{9 \left(x^{2}-x +1\right)}+\frac{15625 i {\mathrm e}^{3} \ln \left(\frac{x}{2}\right) \sqrt{3}\, \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right)}{9 \left(x^{2}-x +1\right)}-\frac{78125 i \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right) \sqrt{3}\, x^{2}}{9 \left(x^{2}-x +1\right)}-\frac{15625 i {\mathrm e}^{3} \ln \left(\frac{x}{2}\right) \sqrt{3}\, \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right)}{9 \left(x^{2}-x +1\right)}-\frac{15625 i {\mathrm e}^{3} \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right) \sqrt{3}\, x^{2}}{9 \left(x^{2}-x +1\right)}+\frac{78125 i \ln \left(\frac{x}{2}\right) \sqrt{3}\, \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right)}{9 \left(x^{2}-x +1\right)}+\frac{78125 i \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right) \sqrt{3}\, x}{9 \left(x^{2}-x +1\right)}+\frac{78125 i \sqrt{3}\, \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right)}{9}-\frac{78125 i \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right) \sqrt{3}\, x}{9 \left(x^{2}-x +1\right)}-\frac{15625 i {\mathrm e}^{3} \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right) \sqrt{3}\, x}{9 \left(x^{2}-x +1\right)}+\frac{31250 \,{\mathrm e}^{3} \ln \left(\frac{x}{2}\right) x^{2}}{3 \left(x^{2}-x +1\right)}-\frac{15625 \,{\mathrm e}^{3} \ln \left(\frac{x}{2}\right) x}{3 \left(x^{2}-x +1\right)}+\frac{15625 \,{\mathrm e}^{3} \ln \left(\frac{x}{2}\right) x}{3 \left(x +1\right)}-\frac{78125 i \sqrt{3}\, \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right)}{9}+\frac{15625 i {\mathrm e}^{3} \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right) \sqrt{3}\, x^{2}}{9 \left(x^{2}-x +1\right)}-\frac{156250 \ln \left(\frac{x}{2}\right) x^{2}}{3 \left(x^{2}-x +1\right)}+\frac{78125 \ln \left(\frac{x}{2}\right) x}{3 \left(x^{2}-x +1\right)}-15625 \,{\mathrm e}^{3} \ln \left(\frac{x}{2}\right)+78125 \ln \left(\frac{x}{2}\right)-\frac{78125 \ln \left(\frac{x}{2}\right) x}{3 \left(x +1\right)}-\frac{15625 i {\mathrm e}^{3} \sqrt{3}\, \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right)}{9}+\frac{15625 i {\mathrm e}^{3} \sqrt{3}\, \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right)}{9}+\frac{15625 i {\mathrm e}^{3} \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right) \sqrt{3}\, x}{9 \left(x^{2}-x +1\right)}-\frac{78125 i \ln \left(\frac{x}{2}\right) \sqrt{3}\, \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right)}{9 \left(x^{2}-x +1\right)}$&$798$\\ default&$\frac{78125 i \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right) \sqrt{3}\, x^{2}}{9 \left(x^{2}-x +1\right)}+\frac{15625 i {\mathrm e}^{3} \ln \left(\frac{x}{2}\right) \sqrt{3}\, \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right)}{9 \left(x^{2}-x +1\right)}-\frac{78125 i \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right) \sqrt{3}\, x^{2}}{9 \left(x^{2}-x +1\right)}-\frac{15625 i {\mathrm e}^{3} \ln \left(\frac{x}{2}\right) \sqrt{3}\, \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right)}{9 \left(x^{2}-x +1\right)}-\frac{15625 i {\mathrm e}^{3} \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right) \sqrt{3}\, x^{2}}{9 \left(x^{2}-x +1\right)}+\frac{78125 i \ln \left(\frac{x}{2}\right) \sqrt{3}\, \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right)}{9 \left(x^{2}-x +1\right)}+\frac{78125 i \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right) \sqrt{3}\, x}{9 \left(x^{2}-x +1\right)}+\frac{78125 i \sqrt{3}\, \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right)}{9}-\frac{78125 i \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right) \sqrt{3}\, x}{9 \left(x^{2}-x +1\right)}-\frac{15625 i {\mathrm e}^{3} \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right) \sqrt{3}\, x}{9 \left(x^{2}-x +1\right)}+\frac{31250 \,{\mathrm e}^{3} \ln \left(\frac{x}{2}\right) x^{2}}{3 \left(x^{2}-x +1\right)}-\frac{15625 \,{\mathrm e}^{3} \ln \left(\frac{x}{2}\right) x}{3 \left(x^{2}-x +1\right)}+\frac{15625 \,{\mathrm e}^{3} \ln \left(\frac{x}{2}\right) x}{3 \left(x +1\right)}-\frac{78125 i \sqrt{3}\, \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right)}{9}+\frac{15625 i {\mathrm e}^{3} \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right) \sqrt{3}\, x^{2}}{9 \left(x^{2}-x +1\right)}-\frac{156250 \ln \left(\frac{x}{2}\right) x^{2}}{3 \left(x^{2}-x +1\right)}+\frac{78125 \ln \left(\frac{x}{2}\right) x}{3 \left(x^{2}-x +1\right)}-15625 \,{\mathrm e}^{3} \ln \left(\frac{x}{2}\right)+78125 \ln \left(\frac{x}{2}\right)-\frac{78125 \ln \left(\frac{x}{2}\right) x}{3 \left(x +1\right)}-\frac{15625 i {\mathrm e}^{3} \sqrt{3}\, \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right)}{9}+\frac{15625 i {\mathrm e}^{3} \sqrt{3}\, \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right)}{9}+\frac{15625 i {\mathrm e}^{3} \ln \left(\frac{x}{2}\right) \ln \left(\frac{i \sqrt{3}-2 x +1}{1+i \sqrt{3}}\right) \sqrt{3}\, x}{9 \left(x^{2}-x +1\right)}-\frac{78125 i \ln \left(\frac{x}{2}\right) \sqrt{3}\, \ln \left(\frac{i \sqrt{3}+2 x -1}{i \sqrt{3}-1}\right)}{9 \left(x^{2}-x +1\right)}$&$798$\\ \hline \end{longtable}"," ",0,"-15625*(exp(3)-5)/(x^3+1)*ln(1/2*x)","A"
5317,1,36,25,0.192000," ","int((((x^4+2*x^3+4*x-4)*exp(x)+2*x^5+2*x^4+4*x^3+4*x^2)*ln(x^2+2)^2+(2*x^5+2*x^4+4*x^3+4*x^2)*ln(x^2+2)-2*x^5-4*x^4)/(x^4+2*x^2)/ln(x^2+2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3}+2 x^{2}+{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}}{x}+\frac{x \left(2+x \right)}{\ln \left(x^{2}+2\right)}$&$36$\\ \hline \end{longtable}"," ",0,"(x^3+2*x^2+exp(x)*x+2*exp(x))/x+x*(2+x)/ln(x^2+2)","A"
5318,1,39,24,0.082000," ","int(((24*x+6)*ln(x)^2+(-24*x-12)*ln(x)-16*x^3-48*x^2-36*x-8)/(9*ln(x)^4+(24*x^2+12*x)*ln(x)^3+(16*x^4+16*x^3-20*x^2-60*x-24)*ln(x)^2+(-32*x^4-96*x^3-72*x^2-16*x)*ln(x)+16*x^4+80*x^3+132*x^2+80*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \left(2 x +1\right) x}{4 x^{2} \ln \left(x \right)+3 \ln \left(x \right)^{2}+2 x \ln \left(x \right)-4 x^{2}-10 x -4}$&$39$\\ norman&$\frac{4 x^{2}+2 x}{4 x^{2} \ln \left(x \right)+3 \ln \left(x \right)^{2}+2 x \ln \left(x \right)-4 x^{2}-10 x -4}$&$41$\\ \hline \end{longtable}"," ",0,"2*(2*x+1)*x/(4*x^2*ln(x)+3*ln(x)^2+2*x*ln(x)-4*x^2-10*x-4)","A"
5319,1,48,29,0.115000," ","int((4*x^6-12*x^5-132*x^4+754*x^3-1320*x^2+762*x-74)/((x^7-8*x^6+6*x^5+106*x^4-379*x^3-30*x^2-1607*x-2044)*ln((-x^6+12*x^5-54*x^4+110*x^3-61*x^2+274*x+511)/(4*x^2+32*x+64))+4*x^7-32*x^6+24*x^5+424*x^4-1516*x^3-120*x^2-6428*x-8176),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(\frac{-x^{6}+12 x^{5}-54 x^{4}+110 x^{3}-61 x^{2}+274 x +511}{4 x^{2}+32 x +64}\right)+4\right)$&$48$\\ risch&$\ln \left(\ln \left(\frac{-x^{6}+12 x^{5}-54 x^{4}+110 x^{3}-61 x^{2}+274 x +511}{4 x^{2}+32 x +64}\right)+4\right)$&$48$\\ \hline \end{longtable}"," ",0,"ln(ln((-x^6+12*x^5-54*x^4+110*x^3-61*x^2+274*x+511)/(4*x^2+32*x+64))+4)","A"
5320,1,18,17,0.066000," ","int(1/2*((2*x^4+3*x^2)*exp(x^2)+3*x^2)*exp(x^3*exp(x^2)+x^3)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x^{3} \left({\mathrm e}^{x^{2}}+1\right)}}{2}-x$&$18$\\ default&$-x +\frac{{\mathrm e}^{x^{3} {\mathrm e}^{x^{2}}+x^{3}}}{2}$&$20$\\ norman&$-x +\frac{{\mathrm e}^{x^{3} {\mathrm e}^{x^{2}}+x^{3}}}{2}$&$20$\\ \hline \end{longtable}"," ",0,"1/2*exp(x^3*(exp(x^2)+1))-x","A"
5321,1,13,21,0.097000," ","int(1/5*((x-2)*exp(x)*ln(ln(5))+5*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{{\mathrm e}^{x} \ln \left(\ln \left(5\right)\right)}{5 x^{2}}$&$13$\\ risch&$x +\frac{{\mathrm e}^{x} \ln \left(\ln \left(5\right)\right)}{5 x^{2}}$&$13$\\ norman&$\frac{x^{3}+\frac{{\mathrm e}^{x} \ln \left(\ln \left(5\right)\right)}{5}}{x^{2}}$&$16$\\ \hline \end{longtable}"," ",0,"x+1/5/x^2*exp(x)*ln(ln(5))","A"
5322,1,29,23,0.612000," ","int(((-5*x-5)*ln(3)^2+(x+1)*(ln(3)+I*Pi)+x^2)*exp(ln(x)-3+x)/(25*x*ln(3)^4+(-10*x*(ln(3)+I*Pi)-10*x^2)*ln(3)^2+x*(ln(3)+I*Pi)^2+2*x^2*(ln(3)+I*Pi)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{i x \,{\mathrm e}^{x -3}}{\pi +5 i \ln \left(3\right)^{2}-i \ln \left(3\right)-i x}$&$29$\\ norman&$\frac{x \,{\mathrm e}^{\ln \left(x \right)-3+x}+\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)-i \pi \right) {\mathrm e}^{\ln \left(x \right)-3+x}}{25 \ln \left(3\right)^{4}-10 \ln \left(3\right)^{3}-10 x \ln \left(3\right)^{2}+\pi^{2}+\ln \left(3\right)^{2}+2 x \ln \left(3\right)+x^{2}}$&$68$\\ gosper&$-\frac{\left(\pi +5 i \ln \left(3\right)^{2}-i \ln \left(3\right)-i x \right) \left(i x \pi -5 x \ln \left(3\right)^{2}+i \pi -5 \ln \left(3\right)^{2}+x \ln \left(3\right)+x^{2}+\ln \left(3\right)\right) {\mathrm e}^{\ln \left(x \right)-3+x}}{\left(\pi  x +5 i \ln \left(3\right)^{2} x +\pi +5 i \ln \left(3\right)^{2}-i x \ln \left(3\right)-i x^{2}-i \ln \left(3\right)\right) \left(10 i \pi  \ln \left(3\right)^{2}-25 \ln \left(3\right)^{4}-2 i \pi  \ln \left(3\right)-2 i x \pi +10 \ln \left(3\right)^{3}+10 x \ln \left(3\right)^{2}+\pi^{2}-\ln \left(3\right)^{2}-2 x \ln \left(3\right)-x^{2}\right)}$&$158$\\ default&$-\frac{30 i {\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \pi  \ln \left(3\right)^{3}}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right)^{2}}+\frac{75 i {\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \pi  \ln \left(3\right)^{4}}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right)^{2}}+\frac{10 i {\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \pi  \ln \left(3\right)^{2}}{-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi}+\frac{3 i {\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \pi  \ln \left(3\right)^{2}}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right)^{2}}-\frac{2 i {\mathrm e}^{x -3} \pi  \ln \left(3\right)}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right) \left(\ln \left(3\right)+i \pi -5 \ln \left(3\right)^{2}+x \right)}-\frac{2 i {\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \pi  \ln \left(3\right)}{-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi}+\frac{10 i {\mathrm e}^{x -3} \pi  \ln \left(3\right)^{2}}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right) \left(\ln \left(3\right)+i \pi -5 \ln \left(3\right)^{2}+x \right)}-\frac{125 \,{\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \ln \left(3\right)^{6}}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right)^{2}}+\frac{75 \,{\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \ln \left(3\right)^{5}}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right)^{2}}-\frac{15 \,{\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \ln \left(3\right)^{4}}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right)^{2}}+\frac{{\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \ln \left(3\right)^{3}}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right)^{2}}+\frac{{\mathrm e}^{x -3} \pi^{2}}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right) \left(\ln \left(3\right)+i \pi -5 \ln \left(3\right)^{2}+x \right)}-\frac{{\mathrm e}^{x -3} \ln \left(3\right)^{2}}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right) \left(\ln \left(3\right)+i \pi -5 \ln \left(3\right)^{2}+x \right)}-\frac{25 \,{\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \ln \left(3\right)^{4}}{-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi}+\frac{10 \,{\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \ln \left(3\right)^{3}}{-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi}+\frac{{\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \pi^{2}}{-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi}-\frac{{\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \ln \left(3\right)^{2}}{-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi}-\frac{25 \,{\mathrm e}^{x -3} \ln \left(3\right)^{4}}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right) \left(\ln \left(3\right)+i \pi -5 \ln \left(3\right)^{2}+x \right)}+\frac{10 \,{\mathrm e}^{x -3} \ln \left(3\right)^{3}}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right) \left(\ln \left(3\right)+i \pi -5 \ln \left(3\right)^{2}+x \right)}+{\mathrm e}^{x -3}-\frac{i {\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \pi^{3}}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right)^{2}}+\frac{15 \,{\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \ln \left(3\right)^{2} \pi^{2}}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right)^{2}}-\frac{3 \,{\mathrm e}^{i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)} \expIntegralEi \left(1, -x +3+i \left(-5 i \ln \left(3\right)^{2}+i \ln \left(3\right)-\pi +3 i\right)\right) \ln \left(3\right) \pi^{2}}{\left(-5 \ln \left(3\right)^{2}+\ln \left(3\right)+i \pi \right)^{2}}$&$1397$\\ \hline \end{longtable}"," ",0,"-I/(Pi+5*I*ln(3)^2-I*ln(3)-I*x)*x*exp(x-3)","A"
5323,1,19,17,0.061000," ","int((320*x*ln(2*x)-392*x-40)/(64*x^3+16*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-72 x -40 \ln \left(2 x \right)}{8 x +1}$&$19$\\ risch&$-\frac{40 \ln \left(2 x \right)}{8 x +1}+\frac{9}{8 x +1}$&$24$\\ derivativedivides&$\frac{320 \ln \left(2 x \right) x}{8 x +1}-40 \ln \left(2 x \right)+\frac{9}{8 x +1}$&$31$\\ default&$\frac{320 \ln \left(2 x \right) x}{8 x +1}-40 \ln \left(2 x \right)+\frac{9}{8 x +1}$&$31$\\ \hline \end{longtable}"," ",0,"(-72*x-40*ln(2*x))/(8*x+1)","A"
5324,1,20,26,0.333000," ","int(((2*(16*x^2+112*x+196)*ln(3)+64*x^3+448*x^2+784*x)*exp(-2*x*ln(3)-2*x^2+7)-4)/(4*x^2+28*x+49),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x +\frac{7}{2}}-4 \left(\frac{1}{9}\right)^{x} {\mathrm e}^{-2 x^{2}+7}$&$20$\\ default&$-4 \,{\mathrm e}^{-2 x \ln \left(3\right)-2 x^{2}+7}+\frac{2}{7+2 x}$&$26$\\ norman&$\frac{-8 \,{\mathrm e}^{-2 x \ln \left(3\right)-2 x^{2}+7} x -28 \,{\mathrm e}^{-2 x \ln \left(3\right)-2 x^{2}+7}+2}{7+2 x}$&$42$\\ \hline \end{longtable}"," ",0,"1/(x+7/2)-4*(1/9)^x*exp(-2*x^2+7)","A"
5325,1,245,20,0.166000," ","int(((-2*x*ln(exp(x^2)*x)+6*x^2-102*x+2)*ln(-ln(exp(x^2)*x)+x-50)+(2*x^2+8*x)*ln(exp(x^2)*x)-6*x^3+78*x^2+406*x-8)/(x*ln(exp(x^2)*x)-x^2+50*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-\ln \left(x \right)-\ln \left({\mathrm e}^{x^{2}}\right)+\frac{i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{x^{2}}\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{x^{2}}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{x^{2}}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x^{2}}\right)\right)}{2}+x -50\right)^{2}-2 x \ln \left(-\ln \left(x \right)-\ln \left({\mathrm e}^{x^{2}}\right)+\frac{i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{x^{2}}\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{x^{2}}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{x^{2}}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x^{2}}\right)\right)}{2}+x -50\right)+x^{2}+8 x -8 \ln \left(\ln \left({\mathrm e}^{x^{2}}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x^{2}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x^{2}}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x^{2}}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x^{2}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x^{2}}\right)^{3}-2 i x +2 i \ln \left(x \right)+100 i\right)}{2}\right)$&$245$\\ \hline \end{longtable}"," ",0,"ln(-ln(x)-ln(exp(x^2))+1/2*I*Pi*csgn(I*x*exp(x^2))*(-csgn(I*x*exp(x^2))+csgn(I*x))*(-csgn(I*x*exp(x^2))+csgn(I*exp(x^2)))+x-50)^2-2*x*ln(-ln(x)-ln(exp(x^2))+1/2*I*Pi*csgn(I*x*exp(x^2))*(-csgn(I*x*exp(x^2))+csgn(I*x))*(-csgn(I*x*exp(x^2))+csgn(I*exp(x^2)))+x-50)+x^2+8*x-8*ln(ln(exp(x^2))-1/2*I*(Pi*csgn(I*x)*csgn(I*exp(x^2))*csgn(I*x*exp(x^2))-Pi*csgn(I*x)*csgn(I*x*exp(x^2))^2-Pi*csgn(I*exp(x^2))*csgn(I*x*exp(x^2))^2+Pi*csgn(I*x*exp(x^2))^3-2*I*x+2*I*ln(x)+100*I))","C"
5326,1,25,22,0.034000," ","int(1/3*(40*x^2-20)*exp(-exp(1/2)^2-x^2+3)+40/3*x+20,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$20 x +\frac{20 x^{2}}{3}-\frac{20 x \,{\mathrm e}^{-{\mathrm e}-x^{2}+3}}{3}$&$25$\\ norman&$20 x +\frac{20 x^{2}}{3}-\frac{20 x \,{\mathrm e}^{-{\mathrm e}-x^{2}+3}}{3}$&$27$\\ default&$20 x +\frac{20 x^{2}}{3}-\frac{10 \,{\mathrm e}^{-{\mathrm e}} {\mathrm e}^{3} \sqrt{\pi}\, \erf \left(x \right)}{3}+\frac{40 \,{\mathrm e}^{-{\mathrm e}} {\mathrm e}^{3} \left(-\frac{x \,{\mathrm e}^{-x^{2}}}{2}+\frac{\sqrt{\pi}\, \erf \left(x \right)}{4}\right)}{3}$&$54$\\ \hline \end{longtable}"," ",0,"20*x+20/3*x^2-20/3*x*exp(-exp(1)-x^2+3)","A"
5327,1,12,13,0.200000," ","int((((x-5)*exp(x)+x-5)*ln(5/16-1/16*x)+exp(x)+x)*exp((exp(x)+x)*ln(5/16-1/16*x))*exp(exp((exp(x)+x)*ln(5/16-1/16*x)))/(x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\left(\frac{5}{16}-\frac{x}{16}\right)^{{\mathrm e}^{x}+x}}$&$12$\\ \hline \end{longtable}"," ",0,"exp((5/16-1/16*x)^(exp(x)+x))","A"
5328,1,12,17,0.054000," ","int((16*x^15*exp(4)+24*x)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{16}+12 x^{2} {\mathrm e}^{-4}$&$12$\\ norman&$x^{16}+12 x^{2} {\mathrm e}^{-4}$&$14$\\ gosper&$\left(x^{14} {\mathrm e}^{4}+12\right) x^{2} {\mathrm e}^{-4}$&$17$\\ default&${\mathrm e}^{-4} \left({\mathrm e}^{4} x^{16}+12 x^{2}\right)$&$18$\\ \hline \end{longtable}"," ",0,"x^16+12*x^2*exp(-4)","A"
5329,1,32,29,0.089000," ","int((ln(x)*ln(2*x/ln(x))-2*x*ln(x)^3-2*x*ln(x)^2+(48*x^2+2*x+1)*ln(x)-1)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$16 x^{3}+x^{2}-x^{2} \ln \left(x \right)^{2}+x \ln \left(2\right)+\ln \left(\frac{x}{\ln \left(x \right)}\right) x$&$32$\\ risch&$-x \ln \left(\ln \left(x \right)\right)-x^{2} \ln \left(x \right)^{2}+x \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right) x}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} x}{2}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} x}{2}-\frac{i \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3} x}{2}+16 x^{3}+x \ln \left(2\right)+x^{2}$&$121$\\ \hline \end{longtable}"," ",0,"16*x^3+x^2-x^2*ln(x)^2+x*ln(2)+ln(x/ln(x))*x","A"
5330,1,32,24,0.077000," ","int(((4*x^3+8*x^2+4*x)*exp(x)*exp(2*x)+(x^3+x^2-9*x-1)*exp(x))*exp(exp(2*x))^2*exp(exp(x)*exp(exp(2*x))^2/x/exp(-4/(x+1))^2)/(x^4+2*x^3+x^2)/exp(-4/(x+1))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{2 x}+x^{2}+2 \,{\mathrm e}^{2 x}+x +8}{x +1}}}{x}}$&$32$\\ \hline \end{longtable}"," ",0,"exp(1/x*exp((2*x*exp(2*x)+x^2+2*exp(2*x)+x+8)/(x+1)))","A"
5331,1,14,16,0.070000," ","int(1/3*(exp(1)-6*x-10)*exp(1/3*(4+x)*exp(1)-x^2-10/3*x+8/3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(4+x \right) \left(-3 x +{\mathrm e}+2\right)}{3}}$&$14$\\ norman&${\mathrm e}^{\frac{\left(4+x \right) {\mathrm e}}{3}-x^{2}-\frac{10 x}{3}+\frac{8}{3}}$&$19$\\ gosper&${\mathrm e}^{\frac{x \,{\mathrm e}}{3}+\frac{4 \,{\mathrm e}}{3}-x^{2}-\frac{10 x}{3}+\frac{8}{3}}$&$21$\\ default&$\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{4 \,{\mathrm e}}{3}+\frac{11}{3}+\frac{\left(\frac{{\mathrm e}}{3}-\frac{10}{3}\right)^{2}}{4}} \erf \left(x -\frac{{\mathrm e}}{6}+\frac{5}{3}\right)}{6}-\frac{5 \sqrt{\pi}\, {\mathrm e}^{\frac{4 \,{\mathrm e}}{3}+\frac{8}{3}+\frac{\left(\frac{{\mathrm e}}{3}-\frac{10}{3}\right)^{2}}{4}} \erf \left(x -\frac{{\mathrm e}}{6}+\frac{5}{3}\right)}{3}+{\mathrm e}^{-x^{2}+\left(\frac{{\mathrm e}}{3}-\frac{10}{3}\right) x +\frac{4 \,{\mathrm e}}{3}+\frac{8}{3}}-\frac{\left(\frac{{\mathrm e}}{3}-\frac{10}{3}\right) \sqrt{\pi}\, {\mathrm e}^{\frac{4 \,{\mathrm e}}{3}+\frac{8}{3}+\frac{\left(\frac{{\mathrm e}}{3}-\frac{10}{3}\right)^{2}}{4}} \erf \left(x -\frac{{\mathrm e}}{6}+\frac{5}{3}\right)}{2}$&$118$\\ \hline \end{longtable}"," ",0,"exp(1/3*(4+x)*(-3*x+exp(1)+2))","A"
5332,1,16,25,0.050000," ","int(((200*exp(x)^4+600*x*exp(x)^3+600*exp(x)^2*x^2+200*exp(x)*x^3)*exp(exp(x))+(-x^2+x)*exp(x))/(200*exp(x)^3+600*x*exp(x)^2+600*exp(x)*x^2+200*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{400 \left({\mathrm e}^{x}+x \right)^{2}}+{\mathrm e}^{{\mathrm e}^{x}}$&$16$\\ \hline \end{longtable}"," ",0,"1/400*x^2/(exp(x)+x)^2+exp(exp(x))","A"
5333,1,21,22,0.077000," ","int(((12*x^3-111*x^2+300*x-252)*exp(x)*ln(-x+21/4)+(12*x^2-48*x+48)*exp(x)+64*x^3-592*x^2+1344*x)/(12*x^3-111*x^2+300*x-252),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x} \ln \left(-x +\frac{21}{4}\right)+\frac{16 x}{3}+\frac{64}{3 \left(x -2\right)}$&$21$\\ risch&${\mathrm e}^{x} \ln \left(-x +\frac{21}{4}\right)+\frac{\frac{16}{3} x^{2}-\frac{32}{3} x +\frac{64}{3}}{x -2}$&$26$\\ norman&$\frac{{\mathrm e}^{x} \ln \left(-x +\frac{21}{4}\right) x +\frac{16 x^{2}}{3}-2 \,{\mathrm e}^{x} \ln \left(-x +\frac{21}{4}\right)}{x -2}$&$33$\\ \hline \end{longtable}"," ",0,"exp(x)*ln(-x+21/4)+16/3*x+64/3/(x-2)","A"
5334,1,16,14,0.031000," ","int((3*exp(3*ln(x)+3)-2*x^2-7*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{3} {\mathrm e}^{3}-7 x -x^{2}$&$16$\\ risch&$x^{3} {\mathrm e}^{3}-7 x -x^{2}$&$16$\\ default&$-x^{2}-7 x +{\mathrm e}^{3 \ln \left(x \right)+3}$&$17$\\ \hline \end{longtable}"," ",0,"x^3*exp(3)-7*x-x^2","A"
5335,1,28,24,0.155000," ","int(((ln(4*exp(x^2)/x)+4+x+ln(x))*ln(ln(4*exp(x^2)/x)+4+x+ln(x))-5*ln(4*exp(x^2)/x)-5*ln(x)-2*x^2-6*x-20)/(x^2*ln(4*exp(x^2)/x)+x^2*ln(x)+x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(\ln \left(\frac{4 \,{\mathrm e}^{x^{2}}}{x}\right)+4+x +\ln \left(x \right)\right)}{x}+\frac{5}{x}$&$28$\\ risch&$-\frac{\ln \left(2 \ln \left(2\right)+\ln \left({\mathrm e}^{x^{2}}\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{x^{2}}}{x}\right) \left(-\mathrm{csgn}\left(\frac{i {\mathrm e}^{x^{2}}}{x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i {\mathrm e}^{x^{2}}}{x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x^{2}}\right)\right)}{2}+4+x \right)}{x}+\frac{5}{x}$&$83$\\ \hline \end{longtable}"," ",0,"-1/x*ln(ln(4*exp(x^2)/x)+4+x+ln(x))+5/x","A"
5336,1,17,18,0.229000," ","int((-2*exp(4+exp(3))-8)*exp(ln(exp(4+exp(3))+4-1/2*x)+4)/(2*x^2*exp(4+exp(3))-x^3+8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\left(-2 \,{\mathrm e}^{4+{\mathrm e}^{3}}-8\right) {\mathrm e}^{4}}{2 x}$&$17$\\ norman&$\frac{{\mathrm e}^{8} {\mathrm e}^{{\mathrm e}^{3}}+4 \,{\mathrm e}^{4}}{x}$&$18$\\ risch&$\frac{{\mathrm e}^{4} {\mathrm e}^{4+{\mathrm e}^{3}}}{x}+\frac{4 \,{\mathrm e}^{4}}{x}$&$20$\\ gosper&$\frac{2 \left({\mathrm e}^{4+{\mathrm e}^{3}}+4\right) {\mathrm e}^{\ln \left({\mathrm e}^{4+{\mathrm e}^{3}}+4-\frac{x}{2}\right)+4}}{x \left(2 \,{\mathrm e}^{4+{\mathrm e}^{3}}+8-x \right)}$&$41$\\ \hline \end{longtable}"," ",0,"-1/2*(-2*exp(4+exp(3))-8)*exp(4)/x","A"
5337,1,19,17,0.049000," ","int(1/5*(2*x^2+4*x+10)*exp(x)*exp((2*exp(exp(4))+1)/exp(exp(4))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(2 x^{2}+10\right) {\mathrm e}^{{\mathrm e}^{-{\mathrm e}^{4}}+2+x}}{5}$&$19$\\ gosper&$\frac{2 \,{\mathrm e}^{\left(2 \,{\mathrm e}^{{\mathrm e}^{4}}+1\right) {\mathrm e}^{-{\mathrm e}^{4}}+x} \left(x^{2}+5\right)}{5}$&$24$\\ default&$\frac{2 \,{\mathrm e}^{\left(2 \,{\mathrm e}^{{\mathrm e}^{4}}+1\right) {\mathrm e}^{-{\mathrm e}^{4}}} \left({\mathrm e}^{x} x^{2}+5 \,{\mathrm e}^{x}\right)}{5}$&$28$\\ norman&$2 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{-{\mathrm e}^{4}}} {\mathrm e}^{x}+\frac{2 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{-{\mathrm e}^{4}}} x^{2} {\mathrm e}^{x}}{5}$&$29$\\ meijerg&$-2 \,{\mathrm e}^{\left(2 \,{\mathrm e}^{{\mathrm e}^{4}}+1\right) {\mathrm e}^{-{\mathrm e}^{4}}} \left(1-{\mathrm e}^{x}\right)-\frac{2 \,{\mathrm e}^{\left(2 \,{\mathrm e}^{{\mathrm e}^{4}}+1\right) {\mathrm e}^{-{\mathrm e}^{4}}} \left(2-\frac{\left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}}{3}\right)}{5}+\frac{4 \,{\mathrm e}^{\left(2 \,{\mathrm e}^{{\mathrm e}^{4}}+1\right) {\mathrm e}^{-{\mathrm e}^{4}}} \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)}{5}$&$83$\\ \hline \end{longtable}"," ",0,"1/5*(2*x^2+10)*exp(exp(-exp(4))+2+x)","A"
5338,1,26,25,0.252000," ","int((22*x^3+7*x^2+14*x-4)*exp(2/11/x)^2*exp(3/(x+1))/(22*x^2+44*x+22)/exp(7)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{\frac{3}{x +1}} {\mathrm e}^{-14} {\mathrm e}^{\frac{4}{11 x}} x^{2}}{2}$&$26$\\ risch&$\frac{x^{2} {\mathrm e}^{-\frac{154 x^{2}+117 x -4}{11 \left(x +1\right) x}}}{2}$&$27$\\ norman&$\frac{\left(\frac{{\mathrm e}^{-7} x^{2} {\mathrm e}^{\frac{4}{11 x}} {\mathrm e}^{\frac{3}{x +1}}}{2}+\frac{{\mathrm e}^{-7} x^{3} {\mathrm e}^{\frac{4}{11 x}} {\mathrm e}^{\frac{3}{x +1}}}{2}\right) {\mathrm e}^{-7}}{x +1}$&$62$\\ \hline \end{longtable}"," ",0,"1/2*exp(3/(x+1))/exp(7)^2*exp(2/11/x)^2*x^2","A"
5339,1,24,24,0.042000," ","int(1/9*(9*x^2+18*x)*exp(x)+2/9*I*Pi+3*x^2+2/9*x+5/9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5 x}{9}+\frac{2 i x \pi}{9}+\frac{x^{2}}{9}+x^{3}+{\mathrm e}^{x} x^{2}$&$24$\\ norman&$x^{3}+\left(\frac{2 i \pi}{9}+\frac{5}{9}\right) x +{\mathrm e}^{x} x^{2}+\frac{x^{2}}{9}$&$24$\\ risch&$\frac{5 x}{9}+\frac{2 i x \pi}{9}+\frac{x^{2}}{9}+x^{3}+{\mathrm e}^{x} x^{2}$&$24$\\ \hline \end{longtable}"," ",0,"5/9*x+2/9*I*Pi*x+1/9*x^2+x^3+exp(x)*x^2","A"
5340,1,433,26,12.630000," ","int((4*x*ln(x)-8*x*ln(2)-4*x^3-48*x^2-4*x-24)*exp((-2*ln((ln(x)-2*ln(2)+x^2)/(x+6))+4)/ln((ln(x)-2*ln(2)+x^2)/(x+6)))/((x^2+6*x)*ln(x)+2*(-x^2-6*x)*ln(2)+x^4+6*x^3)/ln((ln(x)-2*ln(2)+x^2)/(x+6))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 \left(i \pi  \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)}{x +6}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)}{x +6}\right)^{2} \mathrm{csgn}\left(\frac{i}{x +6}\right)+i \pi  \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)}{x +6}\right)^{2} \mathrm{csgn}\left(i \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)}{x +6}\right) \mathrm{csgn}\left(\frac{i}{x +6}\right) \mathrm{csgn}\left(i \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)\right)-2 i \pi  \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)}{x +6}\right)^{2}+2 i \pi -2 \ln \left(x +6\right)+2 \ln \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)+2 \ln \left(2\right)-4\right)}{i \pi  \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)}{x +6}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)}{x +6}\right)^{2} \mathrm{csgn}\left(\frac{i}{x +6}\right)+i \pi  \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)}{x +6}\right)^{2} \mathrm{csgn}\left(i \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)}{x +6}\right) \mathrm{csgn}\left(\frac{i}{x +6}\right) \mathrm{csgn}\left(i \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)\right)-2 i \pi  \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)}{x +6}\right)^{2}+2 i \pi -2 \ln \left(x +6\right)+2 \ln \left(-\frac{x^{2}}{2}+\ln \left(2\right)-\frac{\ln \left(x \right)}{2}\right)+2 \ln \left(2\right)}}$&$433$\\ \hline \end{longtable}"," ",0,"exp(-2*(I*Pi*csgn(I/(x+6)*(-1/2*x^2+ln(2)-1/2*ln(x)))^3+I*Pi*csgn(I/(x+6)*(-1/2*x^2+ln(2)-1/2*ln(x)))^2*csgn(I/(x+6))+I*Pi*csgn(I/(x+6)*(-1/2*x^2+ln(2)-1/2*ln(x)))^2*csgn(I*(-1/2*x^2+ln(2)-1/2*ln(x)))-I*Pi*csgn(I/(x+6)*(-1/2*x^2+ln(2)-1/2*ln(x)))*csgn(I/(x+6))*csgn(I*(-1/2*x^2+ln(2)-1/2*ln(x)))-2*I*Pi*csgn(I/(x+6)*(-1/2*x^2+ln(2)-1/2*ln(x)))^2+2*I*Pi-2*ln(x+6)+2*ln(-1/2*x^2+ln(2)-1/2*ln(x))+2*ln(2)-4)/(I*Pi*csgn(I/(x+6)*(-1/2*x^2+ln(2)-1/2*ln(x)))^3+I*Pi*csgn(I/(x+6)*(-1/2*x^2+ln(2)-1/2*ln(x)))^2*csgn(I/(x+6))+I*Pi*csgn(I/(x+6)*(-1/2*x^2+ln(2)-1/2*ln(x)))^2*csgn(I*(-1/2*x^2+ln(2)-1/2*ln(x)))-I*Pi*csgn(I/(x+6)*(-1/2*x^2+ln(2)-1/2*ln(x)))*csgn(I/(x+6))*csgn(I*(-1/2*x^2+ln(2)-1/2*ln(x)))-2*I*Pi*csgn(I/(x+6)*(-1/2*x^2+ln(2)-1/2*ln(x)))^2+2*I*Pi-2*ln(x+6)+2*ln(-1/2*x^2+ln(2)-1/2*ln(x))+2*ln(2)))","C"
5341,1,9,22,0.007000," ","int(-3*x^2-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(x^{2}+1\right)$&$9$\\ default&$-x^{3}-x$&$10$\\ norman&$-x^{3}-x$&$10$\\ risch&$-x^{3}-x$&$10$\\ \hline \end{longtable}"," ",0,"-x*(x^2+1)","A"
5342,1,9,8,0.024000," ","int((4-exp(3))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{3}-4}{x}$&$9$\\ norman&$\frac{{\mathrm e}^{3}-4}{x}$&$9$\\ default&$-\frac{4-{\mathrm e}^{3}}{x}$&$12$\\ risch&$-\frac{4}{x}+\frac{{\mathrm e}^{3}}{x}$&$13$\\ \hline \end{longtable}"," ",0,"(exp(3)-4)/x","A"
5343,1,14,14,0.093000," ","int(1/4*(-4*x^4*exp(x-1)+4*x^4-3)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{1}{4 x^{3}}-{\mathrm e}^{x -1}$&$14$\\ derivativedivides&$\frac{1}{4 x^{3}}+x -1-{\mathrm e}^{x -1}$&$15$\\ default&$\frac{1}{4 x^{3}}+x -1-{\mathrm e}^{x -1}$&$15$\\ norman&$\frac{\frac{1}{4}+x^{4}-x^{3} {\mathrm e}^{x -1}}{x^{3}}$&$19$\\ \hline \end{longtable}"," ",0,"x+1/4/x^3-exp(x-1)","A"
5344,1,27,18,0.480000," ","int(((x-6)*(ln(13/6)+I*Pi)*exp(x)+5*x*(ln(13/6)+I*Pi))*exp(((ln(13/6)+I*Pi)*exp(x)-x*(ln(13/6)+I*Pi))/x^6)/x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{\left(\ln \left(\frac{13}{6}\right)+i \pi \right) {\mathrm e}^{x}-x \left(\ln \left(\frac{13}{6}\right)+i \pi \right)}{x^{6}}}$&$27$\\ risch&${\mathrm e}^{\frac{\left(i \pi -\ln \left(3\right)-\ln \left(2\right)+\ln \left(13\right)\right) \left({\mathrm e}^{x}-x \right)}{x^{6}}}$&$27$\\ \hline \end{longtable}"," ",0,"exp(((ln(13/6)+I*Pi)*exp(x)-x*(ln(13/6)+I*Pi))/x^6)","A"
5345,1,15,16,0.233000," ","int(-18/(exp(2)*exp(3)+(-2*x-5)*exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$9 \,{\mathrm e}^{-2} \ln \left({\mathrm e}^{3}-2 x -5\right)$&$15$\\ risch&$9 \,{\mathrm e}^{-2} \ln \left(2 x +5-{\mathrm e}^{3}\right)$&$15$\\ meijerg&$9 \,{\mathrm e}^{-2} \ln \left(1-\frac{2 x \,{\mathrm e}^{2}}{{\mathrm e}^{5}-5 \,{\mathrm e}^{2}}\right)$&$22$\\ default&$9 \ln \left(-2 \,{\mathrm e}^{2} x +{\mathrm e}^{2} {\mathrm e}^{3}-5 \,{\mathrm e}^{2}\right) {\mathrm e}^{-2}$&$23$\\ \hline \end{longtable}"," ",0,"9/exp(2)*ln(exp(3)-2*x-5)","A"
5346,1,24,25,0.162000," ","int(1/2*(2*(-2*x^3-x)*ln(2)*exp(1/4*(ln(x)+x^2)/ln(2))+8*x*ln(2)^2)/ln(2)/exp(exp(1/4*(ln(x)+x^2)/ln(2)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2} {\mathrm e}^{-2 \,{\mathrm e}^{\frac{\ln \left(x \right)+x^{2}}{4 \ln \left(2\right)}}} \ln \left(2\right)$&$24$\\ \hline \end{longtable}"," ",0,"2*x^2*exp(-2*exp(1/4*(ln(x)+x^2)/ln(2)))*ln(2)","A"
5347,1,32,23,0.056000," ","int((((-x^5+8*x^4-16*x^3)*exp(x)^2+(-x^5+11*x^4-40*x^3+48*x^2)*exp(x))*exp(exp(x))-10*x^5+20*x^4)/((x^2-8*x+16)*exp(x)^2*exp(exp(x))^2+(-10*x^3+40*x^2)*exp(x)*exp(exp(x))+25*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x -4\right) x^{3}}{-x \,{\mathrm e}^{{\mathrm e}^{x}+x}+5 x^{2}+4 \,{\mathrm e}^{{\mathrm e}^{x}+x}}$&$32$\\ \hline \end{longtable}"," ",0,"-(x-4)*x^3/(-x*exp(exp(x)+x)+5*x^2+4*exp(exp(x)+x))","A"
5348,1,20,19,0.183000," ","int(((-2*x-6)*exp(5)*ln(-3-x)*ln(ln(-3-x))+(-4*x^2-12*x)*ln(-3-x)+x*exp(5))/(x^4+3*x^3)/ln(-3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{5} \ln \left(\ln \left(-3-x \right)\right)}{x^{2}}+\frac{4}{x}$&$20$\\ \hline \end{longtable}"," ",0,"exp(5)/x^2*ln(ln(-3-x))+4/x","A"
5349,1,30,32,0.082000," ","int(((-675*ln(2)-225*x^2-630)*exp(x)^2+(90*x^2*ln(2)+30*x^4+3*x^3+81*x^2)*exp(x)-3*x^4*ln(2)-x^6-3*x^4)/(225*exp(x)^2*x^2-30*exp(x)*x^4+x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{3 \ln \left(2\right)}{x}+\frac{14}{5 x}+\frac{x}{5 x^{2}-75 \,{\mathrm e}^{x}}$&$30$\\ norman&$\frac{\left(-42-45 \ln \left(2\right)\right) {\mathrm e}^{x}+\left(3 \ln \left(2\right)+3\right) x^{2}-x^{4}+15 \,{\mathrm e}^{x} x^{2}}{x \left(x^{2}-15 \,{\mathrm e}^{x}\right)}$&$47$\\ \hline \end{longtable}"," ",0,"-x+3*ln(2)/x+14/5/x+1/5*x/(x^2-15*exp(x))","A"
5350,1,25,26,0.192000," ","int(1/5*((x^2-4)*exp((x^2+6*x+4)/x)+10*x^3+5*x^2-5*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\ln \left(x \right)+x +\frac{{\mathrm e}^{\frac{x^{2}+6 x +4}{x}}}{5}$&$25$\\ norman&$\frac{x^{2}+x^{3}+\frac{x \,{\mathrm e}^{\frac{x^{2}+6 x +4}{x}}}{5}}{x}-\ln \left(x \right)$&$33$\\ \hline \end{longtable}"," ",0,"x^2-ln(x)+x+1/5*exp((x^2+6*x+4)/x)","A"
5351,1,84,23,0.112000," ","int(((9*x^5+9*x^4-279*x^3-567*x^2+945*x+2025)*ln(3*x)^5+(300*x^4+1800*x^3-14850*x-20250)*ln(3*x)^3+(-300*x^4-900*x^3+7200*x^2+35100*x+40500)*ln(3*x)^2+(1875*x^3+16875*x^2+50625*x+50625)*ln(3*x)-7500*x^3-67500*x^2-202500*x-202500)/(x^3+9*x^2+27*x+27)/ln(3*x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x^{5}-18 x^{4}-63 x^{3}+432 x^{2}+1647 x +1458}{x^{2}+6 x +9}+\frac{75 x \left(2 x^{2} \ln \left(3 x \right)^{2}-6 x \ln \left(3 x \right)^{2}-30 \ln \left(3 x \right)^{2}+25 x +75\right)}{\left(3+x \right) \ln \left(3 x \right)^{4}}$&$84$\\ \hline \end{longtable}"," ",0,"3*(x^5-6*x^4-21*x^3+144*x^2+549*x+486)/(x^2+6*x+9)+75*x*(2*x^2*ln(3*x)^2-6*x*ln(3*x)^2-30*ln(3*x)^2+25*x+75)/(3+x)/ln(3*x)^4","B"
5352,1,19,18,0.041000," ","int(1/3*(-exp(-x-13)-3)*exp(1/3*exp(-x-13)-x+1)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{{\mathrm e}^{-x -13}}{3}-x +1}-x$&$19$\\ risch&${\mathrm e}^{\frac{{\mathrm e}^{-x -13}}{3}-x +1}-x$&$19$\\ default&$-x +3 \,{\mathrm e} \,{\mathrm e}^{\frac{{\mathrm e}^{-13} {\mathrm e}^{-x}}{3}} {\mathrm e}^{13}+3 \,{\mathrm e} \,{\mathrm e}^{13} \left(\frac{{\mathrm e}^{-x} {\mathrm e}^{-13} {\mathrm e}^{\frac{{\mathrm e}^{-13} {\mathrm e}^{-x}}{3}}}{3}-{\mathrm e}^{\frac{{\mathrm e}^{-13} {\mathrm e}^{-x}}{3}}\right)$&$59$\\ \hline \end{longtable}"," ",0,"exp(1/3*exp(-x-13)-x+1)-x","A"
5353,1,20,21,0.042000," ","int((-20*x^4-12*x^3+63*x^2+84*x+15)/(20*x^5+40*x^4+85*x^3+65*x^2+15*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2}{5 \left(\frac{1}{2}+x \right)}-\ln \left(x^{2}+x +3\right)+\ln \left(x \right)$&$20$\\ default&$-\frac{4}{5 \left(2 x +1\right)}+\ln \left(x \right)-\ln \left(x^{2}+x +3\right)$&$22$\\ norman&$\frac{8 x}{5 \left(2 x +1\right)}-\ln \left(x^{2}+x +3\right)+\ln \left(x \right)$&$23$\\ \hline \end{longtable}"," ",0,"-2/5/(1/2+x)-ln(x^2+x+3)+ln(x)","A"
5354,1,208,19,0.069000," ","int((((4*x^2+16*x)*ln(3)^2+(-12*x^3-64*x^2-64*x)*ln(3)+8*x^4+48*x^3+64*x^2+2)*ln(x)+(4*x^4+48*x^3+192*x^2+256*x)*ln(3)^4+(-20*x^5-256*x^4-1152*x^3-2048*x^2-1024*x)*ln(3)^3+(36*x^6+480*x^5+2304*x^4+4608*x^3+3074*x^2+16*x+32)*ln(3)^2+(-28*x^7-384*x^6-1920*x^5-4096*x^4-3076*x^3-32*x^2-64*x)*ln(3)+8*x^8+112*x^7+576*x^6+1280*x^5+1026*x^4+16*x^3+32*x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{8}+\ln \left(x \right)^{2}+32 \ln \left(3\right)^{2} \ln \left(x \right)+\left(256 \ln \left(3\right)^{4}-1024 \ln \left(3\right)^{3}\right) x +\left(-4 \ln \left(3\right)+16\right) x^{7}+\left(6 \ln \left(3\right)^{2}-64 \ln \left(3\right)+96\right) x^{6}+\left(1536 \ln \left(3\right)^{2}+96 \ln \left(3\right)^{4}-1024 \ln \left(3\right)^{3}\right) x^{2}+\left(-4 \ln \left(3\right)^{3}+96 \ln \left(3\right)^{2}-384 \ln \left(3\right)+256\right) x^{5}+\left(-1024 \ln \left(3\right)+16 \ln \left(3\right)^{4}-384 \ln \left(3\right)^{3}+1536 \ln \left(3\right)^{2}\right) x^{3}+\left(256+\ln \left(3\right)^{4}-64 \ln \left(3\right)^{3}+576 \ln \left(3\right)^{2}-1024 \ln \left(3\right)\right) x^{4}+\left(16 \ln \left(3\right)^{2}-64 \ln \left(3\right)\right) x \ln \left(x \right)+\left(-4 \ln \left(3\right)+16\right) x^{3} \ln \left(x \right)+\left(2 \ln \left(3\right)^{2}-32 \ln \left(3\right)+32\right) x^{2} \ln \left(x \right)+2 x^{4} \ln \left(x \right)$&$208$\\ risch&$-384 x^{3} \ln \left(3\right)^{3}+16 x^{7}+x^{8}+\ln \left(x \right)^{2}+256 x^{4}+96 x^{6}+256 x^{5}-64 x^{6} \ln \left(3\right)-1024 x \ln \left(3\right)^{3}+1536 x^{3} \ln \left(3\right)^{2}+32 \ln \left(3\right)^{2} \ln \left(x \right)-384 x^{5} \ln \left(3\right)-1024 x^{3} \ln \left(3\right)+256 x \ln \left(3\right)^{4}-1024 \ln \left(3\right)^{3} x^{2}+x^{4} \ln \left(3\right)^{4}+96 x^{2} \ln \left(3\right)^{4}+96 x^{5} \ln \left(3\right)^{2}+6 x^{6} \ln \left(3\right)^{2}+1536 x^{2} \ln \left(3\right)^{2}+576 x^{4} \ln \left(3\right)^{2}-64 x^{4} \ln \left(3\right)^{3}-1024 x^{4} \ln \left(3\right)-4 \ln \left(3\right)^{3} x^{5}-4 \ln \left(3\right) x^{7}+16 \ln \left(3\right)^{4} x^{3}+\left(2 x^{2} \ln \left(3\right)^{2}-4 x^{3} \ln \left(3\right)+2 x^{4}+16 x \ln \left(3\right)^{2}-32 x^{2} \ln \left(3\right)+16 x^{3}-64 x \ln \left(3\right)+32 x^{2}\right) \ln \left(x \right)$&$247$\\ default&$32 x^{2} \ln \left(x \right)-384 x^{3} \ln \left(3\right)^{3}-16 x^{2} \ln \left(3\right)+16 x^{7}+x^{8}+\ln \left(x \right)^{2}+256 x^{4}+96 x^{6}+256 x^{5}+16 x^{3} \ln \left(x \right)-64 x^{6} \ln \left(3\right)-1024 x \ln \left(3\right)^{3}+1536 x^{3} \ln \left(3\right)^{2}+32 \ln \left(3\right)^{2} \ln \left(x \right)-384 x^{5} \ln \left(3\right)-\frac{3076 x^{3} \ln \left(3\right)}{3}+16 x \ln \left(3\right)^{2}-64 x \ln \left(3\right)+2 x^{4} \ln \left(x \right)+256 x \ln \left(3\right)^{4}-1024 \ln \left(3\right)^{3} x^{2}+x^{4} \ln \left(3\right)^{4}+96 x^{2} \ln \left(3\right)^{4}+96 x^{5} \ln \left(3\right)^{2}+6 x^{6} \ln \left(3\right)^{2}+1537 x^{2} \ln \left(3\right)^{2}+576 x^{4} \ln \left(3\right)^{2}-64 x^{4} \ln \left(3\right)^{3}-1024 x^{4} \ln \left(3\right)-64 \ln \left(3\right) \left(\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}\right)-12 \ln \left(3\right) \left(\frac{x^{3} \ln \left(x \right)}{3}-\frac{x^{3}}{9}\right)+16 \ln \left(3\right)^{2} \left(x \ln \left(x \right)-x \right)-64 \ln \left(3\right) \left(x \ln \left(x \right)-x \right)-4 \ln \left(3\right)^{3} x^{5}-4 \ln \left(3\right) x^{7}+16 \ln \left(3\right)^{4} x^{3}+4 \ln \left(3\right)^{2} \left(\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}\right)$&$312$\\ \hline \end{longtable}"," ",0,"x^8+ln(x)^2+32*ln(3)^2*ln(x)+(256*ln(3)^4-1024*ln(3)^3)*x+(-4*ln(3)+16)*x^7+(6*ln(3)^2-64*ln(3)+96)*x^6+(1536*ln(3)^2+96*ln(3)^4-1024*ln(3)^3)*x^2+(-4*ln(3)^3+96*ln(3)^2-384*ln(3)+256)*x^5+(-1024*ln(3)+16*ln(3)^4-384*ln(3)^3+1536*ln(3)^2)*x^3+(256+ln(3)^4-64*ln(3)^3+576*ln(3)^2-1024*ln(3))*x^4+(16*ln(3)^2-64*ln(3))*x*ln(x)+(-4*ln(3)+16)*x^3*ln(x)+(2*ln(3)^2-32*ln(3)+32)*x^2*ln(x)+2*x^4*ln(x)","B"
5355,1,24,25,0.202000," ","int((-1200*ln(2)^2+2*(-200*x^2-220*x)*ln(2)-12*x^2)*exp((8*x+4)/x/exp(5*x/(30*ln(2)+3*x)))/(300*x^2*ln(2)^2+60*x^3*ln(2)+3*x^4)/exp(5*x/(30*ln(2)+3*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{4 \left(2 x +1\right) {\mathrm e}^{-\frac{5 x}{3 \left(10 \ln \left(2\right)+x \right)}}}{x}}$&$24$\\ norman&$\frac{\left(x^{2} {\mathrm e}^{\frac{5 x}{30 \ln \left(2\right)+3 x}} {\mathrm e}^{\frac{\left(8 x +4\right) {\mathrm e}^{-\frac{5 x}{30 \ln \left(2\right)+3 x}}}{x}}+10 x \ln \left(2\right) {\mathrm e}^{\frac{5 x}{30 \ln \left(2\right)+3 x}} {\mathrm e}^{\frac{\left(8 x +4\right) {\mathrm e}^{-\frac{5 x}{30 \ln \left(2\right)+3 x}}}{x}}\right) {\mathrm e}^{-\frac{5 x}{30 \ln \left(2\right)+3 x}}}{x \left(10 \ln \left(2\right)+x \right)}$&$119$\\ \hline \end{longtable}"," ",0,"exp(4*(2*x+1)*exp(-5/3*x/(10*ln(2)+x))/x)","A"
5356,1,10,9,0.037000," ","int((3*x^3*exp(x^3+3)*ln(x)+exp(x^3+3))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{x^{3}+3} \ln \left(x \right)$&$10$\\ risch&${\mathrm e}^{x^{3}+3} \ln \left(x \right)$&$10$\\ \hline \end{longtable}"," ",0,"exp(x^3+3)*ln(x)","A"
5357,1,19,18,0.083000," ","int(((-exp(x)*exp(exp(3/exp(x)))-exp(x)*x)*ln(exp(exp(3/exp(x)))+x)+(-3*x*ln(x)*exp(3/exp(x))+x*exp(x)*ln(x)^2)*exp(exp(3/exp(x)))+x^2*exp(x)*ln(x)^2+x*exp(x)*ln(x))/(x*exp(x)*ln(x)^2*exp(exp(3/exp(x)))+x^2*exp(x)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}^{{\mathrm e}^{3 \,{\mathrm e}^{-x}}}+x \right)}{\ln \left(x \right)}+x$&$19$\\ \hline \end{longtable}"," ",0,"1/ln(x)*ln(exp(exp(3*exp(-x)))+x)+x","A"
5358,1,11,14,0.105000," ","int((x^2*exp(5*ln(2)+x)-5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$32 \,{\mathrm e}^{x}+\frac{5}{x}$&$11$\\ derivativedivides&${\mathrm e}^{5 \ln \left(2\right)+x}+\frac{5}{x}$&$14$\\ default&${\mathrm e}^{5 \ln \left(2\right)+x}+\frac{5}{x}$&$14$\\ norman&$\frac{5+x \,{\mathrm e}^{5 \ln \left(2\right)+x}}{x}$&$16$\\ \hline \end{longtable}"," ",0,"32*exp(x)+5/x","A"
5359,1,26,23,0.028000," ","int((-x^6*ln(x)^2-10*x^9+90*x^6-270*x^3+270)/(2*x^10-18*x^7+54*x^4-54*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5}{\ln \left(x \right)}+\frac{1}{4 \left(x^{3}-3\right)^{2}}+\frac{1}{6 x^{3}-18}$&$26$\\ risch&$\frac{2 x^{3}-3}{12 x^{6}-72 x^{3}+108}+\frac{5}{\ln \left(x \right)}$&$29$\\ \hline \end{longtable}"," ",0,"5/ln(x)+1/4/(x^3-3)^2+1/6/(x^3-3)","A"
5360,1,70,33,0.527000," ","int(((-6*x^4-32*x^3)*exp(1/2*(2*x*exp(4)+3)/x)^2+(60*x^6+320*x^5+6*x^4-3*x^3)*exp(1/2*(2*x*exp(4)+3)/x)-150*x^8-800*x^7-50*x^6)/((2*x^2+16*x+32)*exp(1/2*(2*x*exp(4)+3)/x)^2+(-20*x^4-160*x^3-324*x^2-16*x)*exp(1/2*(2*x*exp(4)+3)/x)+50*x^6+400*x^5+820*x^4+80*x^3+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}+3}{2 x}} x^{4}-5 x^{6}}{5 x^{3}+20 x^{2}-x \,{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}+3}{2 x}}+x -4 \,{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}+3}{2 x}}}$&$70$\\ risch&$-x^{3}+4 x^{2}-16 x -\frac{256}{4+x}+\frac{x^{5}}{\left(4+x \right) \left(5 x^{3}+20 x^{2}-x \,{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}+3}{2 x}}+x -4 \,{\mathrm e}^{\frac{2 x \,{\mathrm e}^{4}+3}{2 x}}\right)}$&$76$\\ \hline \end{longtable}"," ",0,"(exp(1/2*(2*x*exp(4)+3)/x)*x^4-5*x^6)/(5*x^3+20*x^2-x*exp(1/2*(2*x*exp(4)+3)/x)+x-4*exp(1/2*(2*x*exp(4)+3)/x))","B"
5361,1,10,12,0.034000," ","int(-exp(x)+ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{x}+x \ln \left(5\right)$&$10$\\ norman&$-{\mathrm e}^{x}+x \ln \left(5\right)$&$10$\\ risch&$-{\mathrm e}^{x}+x \ln \left(5\right)$&$10$\\ derivativedivides&$-{\mathrm e}^{x}+\ln \left(5\right) \ln \left({\mathrm e}^{x}\right)$&$12$\\ \hline \end{longtable}"," ",0,"-exp(x)+x*ln(5)","A"
5362,1,38,25,0.144000," ","int((((4*exp(1)*ln(x)^2-4*exp(1)*ln(x))*ln(2*x)+(-2*x-2)*exp(1)*ln(x)^2+4*x*exp(1)*ln(x))*exp((-2*ln(x)^2*ln(2*x)+2*x*ln(x)^2)/x^2)+2*x^4)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 \ln \left(x \right)^{3}+2 \ln \left(2\right) \ln \left(x \right)^{2}-2 x \ln \left(x \right)^{2}-x^{2}}{x^{2}}}+x^{2}$&$38$\\ \hline \end{longtable}"," ",0,"exp(-(2*ln(x)^3+2*ln(2)*ln(x)^2-2*x*ln(x)^2-x^2)/x^2)+x^2","A"
5363,1,46,24,0.371000," ","int(((-exp(5)+3*x+5)*ln(15)-4*x^2)/((x*exp(5)-x^2-5*x)*ln(15)-2*x^2*exp(5)+2*x^3+10*x^2)/ln((ln(15)-2*x)/(x*exp(5)^3+(-2*x^2-10*x)*exp(5)^2+(x^3+10*x^2+25*x)*exp(5))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\frac{\ln \left(3\right)+\ln \left(5\right)-2 x}{x \,{\mathrm e}^{15}+\left(-2 x^{2}-10 x \right) {\mathrm e}^{10}+\left(x^{3}+10 x^{2}+25 x \right) {\mathrm e}^{5}}\right)\right)$&$46$\\ norman&$\ln \left(\ln \left(\frac{\ln \left(15\right)-2 x}{x \,{\mathrm e}^{15}+\left(-2 x^{2}-10 x \right) {\mathrm e}^{10}+\left(x^{3}+10 x^{2}+25 x \right) {\mathrm e}^{5}}\right)\right)$&$48$\\ \hline \end{longtable}"," ",0,"ln(ln((ln(3)+ln(5)-2*x)/(x*exp(15)+(-2*x^2-10*x)*exp(10)+(x^3+10*x^2+25*x)*exp(5))))","A"
5364,1,14,30,0.300000," ","int((-6*exp(1)+18*x^3-24*x^2+8*x)/(9*x^2-12*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{2 \,{\mathrm e}}{3 \left(x -\frac{2}{3}\right)}$&$14$\\ default&$x^{2}+\frac{2 \,{\mathrm e}}{3 x -2}$&$16$\\ gosper&$\frac{3 x^{3}-2 x^{2}+2 \,{\mathrm e}}{3 x -2}$&$24$\\ norman&$\frac{3 x \,{\mathrm e}-2 x^{2}+3 x^{3}}{3 x -2}$&$25$\\ meijerg&$-\frac{3 \,{\mathrm e} x}{2 \left(1-\frac{3 x}{2}\right)}+\frac{x \left(-\frac{9}{2} x^{2}-9 x +12\right)}{3-\frac{9 x}{2}}-\frac{8 x \left(-\frac{9 x}{2}+6\right)}{9 \left(1-\frac{3 x}{2}\right)}+\frac{4 x}{3 \left(1-\frac{3 x}{2}\right)}$&$59$\\ \hline \end{longtable}"," ",0,"x^2+2/3*exp(1)/(x-2/3)","A"
5365,1,17,17,0.091000," ","int((2*x+1)*exp(-1/5*exp(1)+2*x)*exp(x*exp(-1/5*exp(1)+2*x))+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +{\mathrm e}^{x \,{\mathrm e}^{-\frac{{\mathrm e}}{5}+2 x}}$&$17$\\ norman&$2 x +{\mathrm e}^{x \,{\mathrm e}^{-\frac{{\mathrm e}}{5}+2 x}}$&$17$\\ risch&$2 x +{\mathrm e}^{x \,{\mathrm e}^{-\frac{{\mathrm e}}{5}+2 x}}$&$17$\\ \hline \end{longtable}"," ",0,"2*x+exp(x*exp(-1/5*exp(1)+2*x))","A"
5366,1,25,26,0.211000," ","int(((6*x^5+8*x^3+2*x)*exp(x^6+2*x^4+x^2)-1)/(exp(x^6+2*x^4+x^2)^2+(-2*ln(2)*ln(5)-2*x-6)*exp(x^6+2*x^4+x^2)+ln(2)^2*ln(5)^2+(2*x+6)*ln(2)*ln(5)+x^2+6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{\ln \left(2\right) \ln \left(5\right)-{\mathrm e}^{x^{2} \left(x^{2}+1\right)^{2}}+x +3}$&$25$\\ norman&$\frac{1}{\ln \left(2\right) \ln \left(5\right)-{\mathrm e}^{x^{6}+2 x^{4}+x^{2}}+x +3}$&$26$\\ \hline \end{longtable}"," ",0,"1/(ln(2)*ln(5)-exp(x^2*(x^2+1)^2)+x+3)","A"
5367,1,20,22,0.211000," ","int((48*x^3-36*x^2+12*x-12)/(x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$24 x^{2}+12 x +12 \ln \left(x -1\right)+12 \ln \left(x \right)$&$20$\\ norman&$24 x^{2}+12 x +12 \ln \left(x -1\right)+12 \ln \left(x \right)$&$20$\\ risch&$24 x^{2}+12 x +12 \ln \left(x^{2}-x \right)$&$20$\\ meijerg&$12 \ln \left(x \right)+12 i \pi +8 x \left(6+3 x \right)-36 x +12 \ln \left(1-x \right)$&$29$\\ \hline \end{longtable}"," ",0,"24*x^2+12*x+12*ln(x-1)+12*ln(x)","A"
5368,0,0,20,0.110000," ","int(((5*x-1)*ln(x-1/5)+(-5*x+1)*exp(x)+5*x)*exp(ln(-x*ln(x-1/5)+exp(x))/exp(exp(2)+1))/((5*x^2-x)*exp(exp(2)+1)*ln(x-1/5)+(-5*x+1)*exp(x)*exp(exp(2)+1)),x)","\[\int \frac{\left(\left(5 x -1\right) \ln \left(x -\frac{1}{5}\right)+\left(-5 x +1\right) {\mathrm e}^{x}+5 x \right) {\mathrm e}^{\ln \left(-x \ln \left(x -\frac{1}{5}\right)+{\mathrm e}^{x}\right) {\mathrm e}^{-{\mathrm e}^{2}-1}}}{\left(5 x^{2}-x \right) {\mathrm e}^{{\mathrm e}^{2}+1} \ln \left(x -\frac{1}{5}\right)+\left(-5 x +1\right) {\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{2}+1}}\, dx\]"," ",0,"int(((5*x-1)*ln(x-1/5)+(-5*x+1)*exp(x)+5*x)*exp(ln(-x*ln(x-1/5)+exp(x))/exp(exp(2)+1))/((5*x^2-x)*exp(exp(2)+1)*ln(x-1/5)+(-5*x+1)*exp(x)*exp(exp(2)+1)),x)","F"
5369,1,797,25,1.034000," ","int(((3*ln(3)*exp(x)+3*x*ln(3))*ln(1/x*(exp(x)+x))*ln(3/ln(1/x*(exp(x)+x)))+(-2*ln(3)*exp(x)-2*x*ln(3))*ln(1/x*(exp(x)+x))+(-3*x+3)*ln(3)*exp(x))/(exp(x)+x)/ln(1/x*(exp(x)+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 \ln \left(3\right) x \ln \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{3}-2 i \ln \left(x \right)+2 i \ln \left({\mathrm e}^{x}+x \right)\right)+\frac{\ln \left(3\right) \left(-3 i \pi  \,\mathrm{csgn}\left(\frac{i}{-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left({\mathrm e}^{x}+x \right)}\right) \mathrm{csgn}\left(\frac{1}{-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left({\mathrm e}^{x}+x \right)}\right)-3 i \pi  \mathrm{csgn}\left(\frac{1}{-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left({\mathrm e}^{x}+x \right)}\right)^{2}-3 i \pi  \,\mathrm{csgn}\left(\frac{i}{-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left({\mathrm e}^{x}+x \right)}\right) \mathrm{csgn}\left(\frac{1}{-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left({\mathrm e}^{x}+x \right)}\right)^{2}-3 i \pi  \mathrm{csgn}\left(\frac{1}{-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+x \right)}{x}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left({\mathrm e}^{x}+x \right)}\right)^{3}+3 i \pi +6 \ln \left(6\right)-4\right) x}{2}$&$797$\\ \hline \end{longtable}"," ",0,"-3*ln(3)*x*ln(Pi*csgn(I/x)*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))-Pi*csgn(I/x)*csgn(I/x*(exp(x)+x))^2-Pi*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))^2+Pi*csgn(I/x*(exp(x)+x))^3-2*I*ln(x)+2*I*ln(exp(x)+x))+1/2*ln(3)*(-3*I*Pi*csgn(I/(-Pi*csgn(I/x)*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))+Pi*csgn(I/x)*csgn(I/x*(exp(x)+x))^2+Pi*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))^2-Pi*csgn(I/x*(exp(x)+x))^3+2*I*ln(x)-2*I*ln(exp(x)+x)))*csgn(1/(-Pi*csgn(I/x)*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))+Pi*csgn(I/x)*csgn(I/x*(exp(x)+x))^2+Pi*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))^2-Pi*csgn(I/x*(exp(x)+x))^3+2*I*ln(x)-2*I*ln(exp(x)+x)))-3*I*Pi*csgn(1/(-Pi*csgn(I/x)*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))+Pi*csgn(I/x)*csgn(I/x*(exp(x)+x))^2+Pi*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))^2-Pi*csgn(I/x*(exp(x)+x))^3+2*I*ln(x)-2*I*ln(exp(x)+x)))^2-3*I*Pi*csgn(I/(-Pi*csgn(I/x)*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))+Pi*csgn(I/x)*csgn(I/x*(exp(x)+x))^2+Pi*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))^2-Pi*csgn(I/x*(exp(x)+x))^3+2*I*ln(x)-2*I*ln(exp(x)+x)))*csgn(1/(-Pi*csgn(I/x)*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))+Pi*csgn(I/x)*csgn(I/x*(exp(x)+x))^2+Pi*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))^2-Pi*csgn(I/x*(exp(x)+x))^3+2*I*ln(x)-2*I*ln(exp(x)+x)))^2-3*I*Pi*csgn(1/(-Pi*csgn(I/x)*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))+Pi*csgn(I/x)*csgn(I/x*(exp(x)+x))^2+Pi*csgn(I*(exp(x)+x))*csgn(I/x*(exp(x)+x))^2-Pi*csgn(I/x*(exp(x)+x))^3+2*I*ln(x)-2*I*ln(exp(x)+x)))^3+3*I*Pi+6*ln(6)-4)*x","C"
5370,1,137,34,1.547000," ","int((((2*x^3-22*x^2+78*x-90)*ln(2)*exp((x-6)/(2*x-6))+(-2*x^4+28*x^3-144*x^2+324*x-270)*ln(2)-2*x^4+22*x^3-78*x^2+90*x)*ln(((x^2-10*x+25)*ln(2)*exp((x-6)/(2*x-6))+(-x^3+13*x^2-55*x+75)*ln(2)-x^3+10*x^2-25*x)/ln(2))+(4*x^3-21*x^2+21*x)*ln(2)*exp((x-6)/(2*x-6))+(-6*x^4+58*x^3-186*x^2+198*x)*ln(2)-6*x^4+46*x^3-114*x^2+90*x)/((2*x^3-22*x^2+78*x-90)*ln(2)*exp((x-6)/(2*x-6))+(-2*x^4+28*x^3-144*x^2+324*x-270)*ln(2)-2*x^4+22*x^3-78*x^2+90*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2} \ln \left(\frac{\left(x^{2}-10 x +25\right) \ln \left(2\right) {\mathrm e}^{\frac{x -6}{2 x -6}}+\left(-x^{3}+13 x^{2}-55 x +75\right) \ln \left(2\right)-x^{3}+10 x^{2}-25 x}{\ln \left(2\right)}\right)-3 x \ln \left(\frac{\left(x^{2}-10 x +25\right) \ln \left(2\right) {\mathrm e}^{\frac{x -6}{2 x -6}}+\left(-x^{3}+13 x^{2}-55 x +75\right) \ln \left(2\right)-x^{3}+10 x^{2}-25 x}{\ln \left(2\right)}\right)}{x -3}$&$137$\\ risch&$x \ln \left(\left(x -{\mathrm e}^{\frac{x -6}{2 x -6}}-3\right) \ln \left(2\right)+x \right)+2 x \ln \left(x -5\right)-i \pi  x \mathrm{csgn}\left(i \left(x -5\right)^{2} \left(\left(x -{\mathrm e}^{\frac{x -6}{2 x -6}}-3\right) \ln \left(2\right)+x \right)\right)^{2}-\frac{i \pi  x \mathrm{csgn}\left(i \left(x -5\right)\right)^{2} \mathrm{csgn}\left(i \left(x -5\right)^{2}\right)}{2}+i \pi  x \,\mathrm{csgn}\left(i \left(x -5\right)\right) \mathrm{csgn}\left(i \left(x -5\right)^{2}\right)^{2}-\frac{i \pi  x \mathrm{csgn}\left(i \left(x -5\right)^{2}\right)^{3}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x -5\right)^{2}\right) \mathrm{csgn}\left(i \left(\left(x -{\mathrm e}^{\frac{x -6}{2 x -6}}-3\right) \ln \left(2\right)+x \right)\right) \mathrm{csgn}\left(i \left(x -5\right)^{2} \left(\left(x -{\mathrm e}^{\frac{x -6}{2 x -6}}-3\right) \ln \left(2\right)+x \right)\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x -5\right)^{2}\right) \mathrm{csgn}\left(i \left(x -5\right)^{2} \left(\left(x -{\mathrm e}^{\frac{x -6}{2 x -6}}-3\right) \ln \left(2\right)+x \right)\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(\left(x -{\mathrm e}^{\frac{x -6}{2 x -6}}-3\right) \ln \left(2\right)+x \right)\right) \mathrm{csgn}\left(i \left(x -5\right)^{2} \left(\left(x -{\mathrm e}^{\frac{x -6}{2 x -6}}-3\right) \ln \left(2\right)+x \right)\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(i \left(x -5\right)^{2} \left(\left(x -{\mathrm e}^{\frac{x -6}{2 x -6}}-3\right) \ln \left(2\right)+x \right)\right)^{3}}{2}+i x \pi -x \ln \left(\ln \left(2\right)\right)$&$357$\\ \hline \end{longtable}"," ",0,"(x^2*ln(((x^2-10*x+25)*ln(2)*exp((x-6)/(2*x-6))+(-x^3+13*x^2-55*x+75)*ln(2)-x^3+10*x^2-25*x)/ln(2))-3*x*ln(((x^2-10*x+25)*ln(2)*exp((x-6)/(2*x-6))+(-x^3+13*x^2-55*x+75)*ln(2)-x^3+10*x^2-25*x)/ln(2)))/(x-3)","B"
5371,1,46,21,0.063000," ","int(((100*x^3+30*x^2+2*x)*ln(4*x)^5+(60*x^5+10*x^4)*ln(4*x)^3+(-20*x^5-4*x^4)*ln(4*x)^2+8*x^7*ln(4*x)-4*x^7)/ln(4*x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x^{4}+10 x^{3}+x^{2}+\frac{x^{5} \left(x^{3}+10 x \ln \left(4 x \right)^{2}+2 \ln \left(4 x \right)^{2}\right)}{\ln \left(4 x \right)^{4}}$&$46$\\ derivativedivides&$25 x^{4}+10 x^{3}+\frac{10 x^{6}}{\ln \left(4 x \right)^{2}}+\frac{x^{8}}{\ln \left(4 x \right)^{4}}+x^{2}+\frac{2 x^{5}}{\ln \left(4 x \right)^{2}}$&$47$\\ default&$25 x^{4}+10 x^{3}+\frac{10 x^{6}}{\ln \left(4 x \right)^{2}}+\frac{x^{8}}{\ln \left(4 x \right)^{4}}+x^{2}+\frac{2 x^{5}}{\ln \left(4 x \right)^{2}}$&$47$\\ \hline \end{longtable}"," ",0,"25*x^4+10*x^3+x^2+x^5*(x^3+10*x*ln(4*x)^2+2*ln(4*x)^2)/ln(4*x)^4","B"
5372,1,15,14,0.268000," ","int((64*x*ln(2)^2+32*x^2*ln(2)+4*x^3-1)/(16*ln(2)^2+8*x*ln(2)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{1}{x +4 \ln \left(2\right)}+2 x^{2}$&$15$\\ risch&$\frac{1}{x +4 \ln \left(2\right)}+2 x^{2}$&$17$\\ gosper&$\frac{2 x^{3}+8 x^{2} \ln \left(2\right)+1}{x +4 \ln \left(2\right)}$&$24$\\ norman&$\frac{2 x^{3}+8 x^{2} \ln \left(2\right)+1}{x +4 \ln \left(2\right)}$&$24$\\ meijerg&$-\frac{x}{16 \ln \left(2\right)^{2} \left(1+\frac{x}{4 \ln \left(2\right)}\right)}+64 \ln \left(2\right)^{2} \left(-\frac{x}{4 \ln \left(2\right) \left(1+\frac{x}{4 \ln \left(2\right)}\right)}+\ln \left(1+\frac{x}{4 \ln \left(2\right)}\right)\right)+128 \ln \left(2\right)^{2} \left(\frac{x \left(\frac{3 x}{4 \ln \left(2\right)}+6\right)}{12 \ln \left(2\right) \left(1+\frac{x}{4 \ln \left(2\right)}\right)}-2 \ln \left(1+\frac{x}{4 \ln \left(2\right)}\right)\right)+64 \ln \left(2\right)^{2} \left(-\frac{x \left(-\frac{x^{2}}{8 \ln \left(2\right)^{2}}+\frac{3 x}{2 \ln \left(2\right)}+12\right)}{16 \ln \left(2\right) \left(1+\frac{x}{4 \ln \left(2\right)}\right)}+3 \ln \left(1+\frac{x}{4 \ln \left(2\right)}\right)\right)$&$156$\\ \hline \end{longtable}"," ",0,"1/(x+4*ln(2))+2*x^2","A"
5373,1,67,34,0.079000," ","int(1/16*(-48*x^8*exp(3)^4+(-96*x^8+128*x^7+96*x^6+72*x^4)*exp(3)^2-48*x^8+128*x^7+48*x^6+216*x^4-288*x^3-648*x^2+405)/x^6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{3} {\mathrm e}^{12}-2 x^{3} {\mathrm e}^{6}+4 x^{2} {\mathrm e}^{6}-x^{3}+6 x \,{\mathrm e}^{6}+4 x^{2}+3 x -\frac{81}{16 x^{5}}-\frac{72 \,{\mathrm e}^{6}+216}{16 x}+\frac{9}{x^{2}}+\frac{27}{2 x^{3}}$&$67$\\ risch&$-x^{3} {\mathrm e}^{12}-2 x^{3} {\mathrm e}^{6}+4 x^{2} {\mathrm e}^{6}+6 x \,{\mathrm e}^{6}-x^{3}+4 x^{2}+3 x +\frac{\left(-72 \,{\mathrm e}^{6}-216\right) x^{4}+144 x^{3}+216 x^{2}-81}{16 x^{5}}$&$68$\\ norman&$\frac{-\frac{81}{16}+\left(4 \,{\mathrm e}^{6}+4\right) x^{7}+\left(6 \,{\mathrm e}^{6}+3\right) x^{6}+\left(-\frac{9 \,{\mathrm e}^{6}}{2}-\frac{27}{2}\right) x^{4}+\left(-{\mathrm e}^{12}-2 \,{\mathrm e}^{6}-1\right) x^{8}+\frac{27 x^{2}}{2}+9 x^{3}}{x^{5}}$&$71$\\ gosper&$-\frac{16 x^{8} {\mathrm e}^{12}+32 \,{\mathrm e}^{6} x^{8}-64 x^{7} {\mathrm e}^{6}-96 x^{6} {\mathrm e}^{6}+16 x^{8}-64 x^{7}+72 x^{4} {\mathrm e}^{6}-48 x^{6}+216 x^{4}-144 x^{3}-216 x^{2}+81}{16 x^{5}}$&$83$\\ \hline \end{longtable}"," ",0,"-x^3*exp(12)-2*x^3*exp(6)+4*x^2*exp(6)-x^3+6*x*exp(6)+4*x^2+3*x-81/16/x^5-1/16*(72*exp(6)+216)/x+9/x^2+27/2/x^3","A"
5374,1,104,27,0.251000," ","int(((-ln(x)-2)*ln(ln(3)^2/exp(4)^2/exp(x)^2)^2+(-2*x*ln(x)-2*x)*ln(ln(3)^2/exp(4)^2/exp(x)^2))/(2*x^3*ln(x)^3+6*x^3*ln(x)^2+6*x^3*ln(x)+2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\left(-2 \ln \left(\ln \left(3\right)^{2} {\mathrm e}^{-8} {\mathrm e}^{-2 x}\right)-4 x \right) x +2 x^{2}+\frac{\left(\ln \left(\ln \left(3\right)^{2} {\mathrm e}^{-8} {\mathrm e}^{-2 x}\right)+2 \ln \left({\mathrm e}^{x}\right)\right)^{2}}{2}-2 \left(\ln \left({\mathrm e}^{x}\right)-x \right) \left(\ln \left(\ln \left(3\right)^{2} {\mathrm e}^{-8} {\mathrm e}^{-2 x}\right)+2 \ln \left({\mathrm e}^{x}\right)\right)+2 \left(\ln \left({\mathrm e}^{x}\right)-x \right)^{2}}{2 x^{2} \left(\ln \left(x \right)+1\right)^{2}}$&$104$\\ risch&$\frac{\ln \left({\mathrm e}^{x}\right)^{2}}{x^{2} \left(\ln \left(x \right)+1\right)^{2}}-\frac{\left(-16+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-2 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}+4 \ln \left(\ln \left(3\right)\right)\right) \ln \left({\mathrm e}^{x}\right)}{2 x^{2} \left(\ln \left(x \right)+1\right)^{2}}+\frac{256-128 \ln \left(\ln \left(3\right)\right)+16 \ln \left(\ln \left(3\right)\right)^{2}-32 i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+64 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+8 i \ln \left(\ln \left(3\right)\right) \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}+8 i \ln \left(\ln \left(3\right)\right) \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-16 i \ln \left(\ln \left(3\right)\right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}-\pi^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{4} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+4 \pi^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{3} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-6 \pi^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{4}+4 \pi^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{5}-32 i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-\pi^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{6}}{16 x^{2} \left(\ln \left(x \right)+1\right)^{2}}$&$339$\\ \hline \end{longtable}"," ",0,"1/2*((-2*ln(ln(3)^2/exp(4)^2/exp(x)^2)-4*x)*x+2*x^2+1/2*(ln(ln(3)^2/exp(4)^2/exp(x)^2)+2*ln(exp(x)))^2-2*(ln(exp(x))-x)*(ln(ln(3)^2/exp(4)^2/exp(x)^2)+2*ln(exp(x)))+2*(ln(exp(x))-x)^2)/x^2/(ln(x)+1)^2","B"
5375,1,5,6,0.017000," ","int(-1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)$&$5$\\ norman&$-\ln \left(x \right)$&$5$\\ risch&$-\ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"-ln(x)","A"
5376,1,49,31,0.134000," ","int(((x^2*exp(-exp(exp(x))+2)^2+10*x^2*exp(x)*exp(exp(x))*exp(-exp(exp(x))+2))*exp(exp(-exp(exp(x))+2)/((x+1)*exp(-exp(exp(x))+2)+10))+((x^2+2*x+1)*exp(2)+x^4+2*x^3+5*x^2+8*x+4)*exp(-exp(exp(x))+2)^2+((20*x+20)*exp(2)+20*x^3+20*x^2+80*x+80)*exp(-exp(exp(x))+2)+100*exp(2)+100*x^2+400)/((x^4+2*x^3+x^2)*exp(-exp(exp(x))+2)^2+(20*x^3+20*x^2)*exp(-exp(exp(x))+2)+100*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{{\mathrm e}^{2}}{x}-\frac{4}{x}-{\mathrm e}^{\frac{{\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x}}+2}}{{\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x}}+2} x +{\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x}}+2}+10}}$&$49$\\ \hline \end{longtable}"," ",0,"x-exp(2)/x-4/x-exp(exp(-exp(exp(x))+2)/(exp(-exp(exp(x))+2)*x+exp(-exp(exp(x))+2)+10))","A"
5377,1,33,22,0.122000," ","int(((60*x^3+300*x^2+5)*exp(x^3)^4+(-60*x^4-540*x^3-1200*x^2-20*x-90)*exp(x^3)^2+15*x^2+128*x+275)/((25+5*x)*exp(x^3)^4+(-10*x^2-90*x-200)*exp(x^3)^2+5*x^3+64*x^2+275*x+400),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(5+x \right)+\ln \left({\mathrm e}^{4 x^{3}}+\left(-2 x -8\right) {\mathrm e}^{2 x^{3}}+x^{2}+\frac{39 x}{5}+16\right)$&$33$\\ norman&$\ln \left(5+x \right)+\ln \left(5 \,{\mathrm e}^{4 x^{3}}-10 \,{\mathrm e}^{2 x^{3}} x +5 x^{2}-40 \,{\mathrm e}^{2 x^{3}}+39 x +80\right)$&$42$\\ \hline \end{longtable}"," ",0,"ln(5+x)+ln(exp(4*x^3)+(-2*x-8)*exp(2*x^3)+x^2+39/5*x+16)","A"
5378,1,14,14,0.020000," ","int(4/5*exp(x)-15/2*x-4/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{4 x}{5}-\frac{15 x^{2}}{4}+\frac{4 \,{\mathrm e}^{x}}{5}$&$14$\\ norman&$-\frac{4 x}{5}-\frac{15 x^{2}}{4}+\frac{4 \,{\mathrm e}^{x}}{5}$&$14$\\ risch&$-\frac{4 x}{5}-\frac{15 x^{2}}{4}+\frac{4 \,{\mathrm e}^{x}}{5}$&$14$\\ \hline \end{longtable}"," ",0,"-4/5*x-15/4*x^2+4/5*exp(x)","A"
5379,0,0,21,0.123000," ","int(((-x^2+x+4)*ln(1/128*(x^8-4*x^7-10*x^6+44*x^5+49*x^4-176*x^3-160*x^2+256*x+256)/x^2)*ln(ln(1/128*(x^8-4*x^7-10*x^6+44*x^5+49*x^4-176*x^3-160*x^2+256*x+256)/x^2))+6*x^2-2*x+8)/(x^4-x^3-4*x^2)/ln(1/128*(x^8-4*x^7-10*x^6+44*x^5+49*x^4-176*x^3-160*x^2+256*x+256)/x^2),x)","\[\int \frac{\left(-x^{2}+x +4\right) \ln \left(\frac{x^{8}-4 x^{7}-10 x^{6}+44 x^{5}+49 x^{4}-176 x^{3}-160 x^{2}+256 x +256}{128 x^{2}}\right) \ln \left(\ln \left(\frac{x^{8}-4 x^{7}-10 x^{6}+44 x^{5}+49 x^{4}-176 x^{3}-160 x^{2}+256 x +256}{128 x^{2}}\right)\right)+6 x^{2}-2 x +8}{\left(x^{4}-x^{3}-4 x^{2}\right) \ln \left(\frac{x^{8}-4 x^{7}-10 x^{6}+44 x^{5}+49 x^{4}-176 x^{3}-160 x^{2}+256 x +256}{128 x^{2}}\right)}\, dx\]"," ",0,"int(((-x^2+x+4)*ln(1/128*(x^8-4*x^7-10*x^6+44*x^5+49*x^4-176*x^3-160*x^2+256*x+256)/x^2)*ln(ln(1/128*(x^8-4*x^7-10*x^6+44*x^5+49*x^4-176*x^3-160*x^2+256*x+256)/x^2))+6*x^2-2*x+8)/(x^4-x^3-4*x^2)/ln(1/128*(x^8-4*x^7-10*x^6+44*x^5+49*x^4-176*x^3-160*x^2+256*x+256)/x^2),x)","F"
5380,1,38,26,0.207000," ","int(((5*x^5-109*x^4-388*x^3-300*x^2)*ln(-x+25)+84*x^7-1812*x^6-6959*x^5-5996*x^4+4*x^3)/(x-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{5}+4 x^{4}+4 x^{3}\right) \ln \left(-x +25\right)+12 x^{7}+48 x^{6}+48 x^{5}$&$38$\\ norman&$x^{5} \ln \left(-x +25\right)+48 x^{5}+48 x^{6}+12 x^{7}+4 \ln \left(-x +25\right) x^{3}+4 \ln \left(-x +25\right) x^{4}$&$49$\\ derivativedivides&$-12 \left(-x +25\right)^{7}-\ln \left(-x +25\right) \left(-x +25\right)^{5}-164748 \left(-x +25\right)^{5}+2148 \left(-x +25\right)^{6}+129 \ln \left(-x +25\right) \left(-x +25\right)^{4}+7018500 \left(-x +25\right)^{4}-6654 \ln \left(-x +25\right) \left(-x +25\right)^{3}-179362500 \left(-x +25\right)^{3}+171550 \ln \left(-x +25\right) \left(-x +25\right)^{2}+2749687500 \left(-x +25\right)^{2}-2210625 \ln \left(-x +25\right) \left(-x +25\right)+23414062500 x -585351562500+11390625 \ln \left(-x +25\right)$&$141$\\ default&$-12 \left(-x +25\right)^{7}-\ln \left(-x +25\right) \left(-x +25\right)^{5}-164748 \left(-x +25\right)^{5}+2148 \left(-x +25\right)^{6}+129 \ln \left(-x +25\right) \left(-x +25\right)^{4}+7018500 \left(-x +25\right)^{4}-6654 \ln \left(-x +25\right) \left(-x +25\right)^{3}-179362500 \left(-x +25\right)^{3}+171550 \ln \left(-x +25\right) \left(-x +25\right)^{2}+2749687500 \left(-x +25\right)^{2}-2210625 \ln \left(-x +25\right) \left(-x +25\right)+23414062500 x -585351562500+11390625 \ln \left(-x +25\right)$&$141$\\ \hline \end{longtable}"," ",0,"(x^5+4*x^4+4*x^3)*ln(-x+25)+12*x^7+48*x^6+48*x^5","A"
5381,1,150,30,0.305000," ","int((((8*x+8)*exp(x)-128*x^3-128*x^2)*ln(exp(x)^2-32*exp(x)*x^2+256*x^4)^2+(((-16*x-16)*exp(-1/4*x+5)+16*x^2+16*x-4)*exp(x)+(256*x^3+256*x^2)*exp(-1/4*x+5)-256*x^4-256*x^3+64*x^2)*ln(exp(x)^2-32*exp(x)*x^2+256*x^4)+((8*x+8)*exp(-1/4*x+5)^2+(-16*x^2-15*x+4)*exp(-1/4*x+5)+8*x^3+8*x^2+8*x)*exp(x)+(-128*x^3-128*x^2)*exp(-1/4*x+5)^2+(256*x^4+240*x^3-64*x^2)*exp(-1/4*x+5)-128*x^5-128*x^4-256*x^2)/((4*exp(x)-64*x^2)*ln(exp(x)^2-32*exp(x)*x^2+256*x^4)^2+((-8*exp(-1/4*x+5)+8*x)*exp(x)+128*x^2*exp(-1/4*x+5)-128*x^3)*ln(exp(x)^2-32*exp(x)*x^2+256*x^4)+(4*exp(-1/4*x+5)^2-8*x*exp(-1/4*x+5)+4*x^2)*exp(x)-64*x^2*exp(-1/4*x+5)^2+128*x^3*exp(-1/4*x+5)-64*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+2 x -\frac{2 x \,{\mathrm e}^{\frac{x}{4}}}{-i \pi  \mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{x}}{16}-x^{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{x}}{16}-x^{2}\right)^{2}\right) {\mathrm e}^{\frac{x}{4}}-2 i \pi  \,\mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{x}}{16}-x^{2}\right)\right) \mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{x}}{16}-x^{2}\right)^{2}\right)^{2} {\mathrm e}^{\frac{x}{4}}-i \pi  \mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{x}}{16}-x^{2}\right)^{2}\right)^{3} {\mathrm e}^{\frac{x}{4}}+2 x \,{\mathrm e}^{\frac{x}{4}}+4 \,{\mathrm e}^{\frac{x}{4}} \ln \left(-\frac{{\mathrm e}^{x}}{16}+x^{2}\right)-2 \,{\mathrm e}^{5}}$&$150$\\ \hline \end{longtable}"," ",0,"x^2+2*x-2*x*exp(1/4*x)/(-I*Pi*csgn(I*(1/16*exp(x)-x^2))^2*csgn(I*(1/16*exp(x)-x^2)^2)*exp(1/4*x)-2*I*Pi*csgn(I*(1/16*exp(x)-x^2))*csgn(I*(1/16*exp(x)-x^2)^2)^2*exp(1/4*x)-I*Pi*csgn(I*(1/16*exp(x)-x^2)^2)^3*exp(1/4*x)+2*x*exp(1/4*x)+4*exp(1/4*x)*ln(-1/16*exp(x)+x^2)-2*exp(5))","C"
5382,1,17,16,0.041000," ","int(((3*x^3+9*x^2+x+3)*ln(3+x)+(x^3+x+3)*ln(-3*x^3-3*x-9))/(x^4+3*x^3+x^2+6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(3+x \right) \ln \left(-3 x^{3}-3 x -9\right)$&$17$\\ default&$\ln \left(3\right) \ln \left(3+x \right)+\ln \left(3+x \right) \ln \left(-x^{3}-x -3\right)$&$25$\\ \hline \end{longtable}"," ",0,"ln(3+x)*ln(-3*x^3-3*x-9)","A"
5383,1,20,21,0.048000," ","int((18*x*exp(2*x)*ln(5*x)+90*x*exp(2*x)+36)/((16*x*ln(5*x)+80*x)*ln(ln(5*x)+5)^2+((8*x*exp(2*x)-160*x)*ln(5*x)+40*x*exp(2*x)-800*x)*ln(ln(5*x)+5)+(x*exp(2*x)^2-40*x*exp(2*x)+400*x)*ln(5*x)+5*x*exp(2*x)^2-200*x*exp(2*x)+2000*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{9}{-20+{\mathrm e}^{2 x}+4 \ln \left(\ln \left(5 x \right)+5\right)}$&$20$\\ \hline \end{longtable}"," ",0,"-9/(-20+exp(2*x)+4*ln(ln(5*x)+5))","A"
5384,1,22,30,0.029000," ","int((4*ln(x)-4*x^2-4*x-12)*exp((-ln(x)-x^2-10*x+2)/x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-\frac{x^{2}+\ln \left(x \right)+10 x -2}{x}}}{x}$&$22$\\ norman&$\frac{4 \,{\mathrm e}^{\frac{-\ln \left(x \right)-x^{2}-10 x +2}{x}}}{x}$&$25$\\ \hline \end{longtable}"," ",0,"4/x*exp(-(x^2+ln(x)+10*x-2)/x)","A"
5385,1,16,13,0.188000," ","int(((-50*x-250)*ln(1+1/5*x)+x^2-45*x)/(2*x+10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}}{4}-25 \ln \left(1+\frac{x}{5}\right) x$&$16$\\ risch&$\frac{x^{2}}{4}-25 \ln \left(1+\frac{x}{5}\right) x$&$16$\\ derivativedivides&$-125 \left(1+\frac{x}{5}\right) \ln \left(1+\frac{x}{5}\right)-\frac{25}{2}-\frac{5 x}{2}+\frac{25 \left(1+\frac{x}{5}\right)^{2}}{4}+125 \ln \left(1+\frac{x}{5}\right)$&$36$\\ default&$-125 \left(1+\frac{x}{5}\right) \ln \left(1+\frac{x}{5}\right)-\frac{25}{2}-\frac{5 x}{2}+\frac{25 \left(1+\frac{x}{5}\right)^{2}}{4}+125 \ln \left(1+\frac{x}{5}\right)$&$36$\\ \hline \end{longtable}"," ",0,"1/4*x^2-25*ln(1+1/5*x)*x","A"
5386,1,42,25,0.042000," ","int((((-2*exp(5)-50)*ln(3)+(2*x+2)*exp(5)+50*x+50)*exp(x)+(-2*exp(5)-50)*ln(3)+(4*x-6)*exp(5)+100*x-160)/(exp(5)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 x^{2}+2 \,{\mathrm e}^{x} x -2 \ln \left(3\right) {\mathrm e}^{x}-\frac{2 \left({\mathrm e}^{5} \ln \left(3\right)+3 \,{\mathrm e}^{5}+25 \ln \left(3\right)+80\right) x}{{\mathrm e}^{5}+25}$&$42$\\ default&$\frac{-160 x +{\mathrm e}^{5} \left(2 x^{2}-6 x \right)-2 x \,{\mathrm e}^{5} \ln \left(3\right)-50 x \ln \left(3\right)+50 \,{\mathrm e}^{x} x -50 \ln \left(3\right) {\mathrm e}^{x}+2 x \,{\mathrm e}^{5} {\mathrm e}^{x}-2 \,{\mathrm e}^{5} {\mathrm e}^{x} \ln \left(3\right)+50 x^{2}}{{\mathrm e}^{5}+25}$&$67$\\ risch&$-\frac{2 x \,{\mathrm e}^{5} \ln \left(3\right)}{{\mathrm e}^{5}+25}+\frac{2 x^{2} {\mathrm e}^{5}}{{\mathrm e}^{5}+25}-\frac{6 x \,{\mathrm e}^{5}}{{\mathrm e}^{5}+25}-\frac{50 x \ln \left(3\right)}{{\mathrm e}^{5}+25}+\frac{50 x^{2}}{{\mathrm e}^{5}+25}-\frac{160 x}{{\mathrm e}^{5}+25}+\frac{\left(-2 \,{\mathrm e}^{5} \ln \left(3\right)+2 x \,{\mathrm e}^{5}-50 \ln \left(3\right)+50 x \right) {\mathrm e}^{x}}{{\mathrm e}^{5}+25}$&$98$\\ \hline \end{longtable}"," ",0,"2*x^2+2*exp(x)*x-2*ln(3)*exp(x)-2*(exp(5)*ln(3)+3*exp(5)+25*ln(3)+80)/(exp(5)+25)*x","A"
5387,1,55,22,0.305000," ","int(((-2*x^2+32)*exp((-x^2+4*x-16)/x)^2+(-2*x^3+2*x^2+32*x)*exp((-x^2+4*x-16)/x)+2*x^3+x^2)*exp(exp(5))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{{\mathrm e}^{5}}+2 x \,{\mathrm e}^{\frac{x \,{\mathrm e}^{5}-x^{2}+4 x -16}{x}}+{\mathrm e}^{\frac{x \,{\mathrm e}^{5}-2 x^{2}+8 x -32}{x}}+x \,{\mathrm e}^{{\mathrm e}^{5}}$&$55$\\ norman&$\frac{x^{2} {\mathrm e}^{{\mathrm e}^{5}}+{\mathrm e}^{{\mathrm e}^{5}} x^{3}+x \,{\mathrm e}^{{\mathrm e}^{5}} {\mathrm e}^{\frac{-2 x^{2}+8 x -32}{x}}+2 x^{2} {\mathrm e}^{{\mathrm e}^{5}} {\mathrm e}^{\frac{-x^{2}+4 x -16}{x}}}{x}$&$65$\\ \hline \end{longtable}"," ",0,"x^2*exp(exp(5))+2*x*exp((x*exp(5)-x^2+4*x-16)/x)+exp((x*exp(5)-2*x^2+8*x-32)/x)+x*exp(exp(5))","B"
5388,1,44,40,0.066000," ","int(((2*x*ln(x)+2*x-6)*ln(ln(1/3*ln(x)*(x-3)+8/3))^3+((-x^2+3*x)*ln(x)-8*x)*ln(1/3*ln(x)*(x-3)+8/3)*ln(ln(1/3*ln(x)*(x-3)+8/3))^2+((-2*x^2+2*x)*ln(x)-2*x^2+8*x-6)*ln(ln(1/3*ln(x)*(x-3)+8/3))+((x^3-4*x^2+3*x)*ln(x)+8*x^2-8*x)*ln(1/3*ln(x)*(x-3)+8/3))/((2*x^2-6*x)*ln(x)+16*x)/ln(1/3*ln(x)*(x-3)+8/3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(\frac{\ln \left(x \right) \left(x -3\right)}{3}+\frac{8}{3}\right)\right)^{4}}{4}+\left(-\frac{x}{2}+\frac{1}{2}\right) \ln \left(\ln \left(\frac{\ln \left(x \right) \left(x -3\right)}{3}+\frac{8}{3}\right)\right)^{2}+\frac{x^{2}}{4}-\frac{x}{2}$&$44$\\ \hline \end{longtable}"," ",0,"1/4*ln(ln(1/3*ln(x)*(x-3)+8/3))^4+(-1/2*x+1/2)*ln(ln(1/3*ln(x)*(x-3)+8/3))^2+1/4*x^2-1/2*x","A"
5389,1,27,20,0.027000," ","int(((-x^2*exp(20/x)-16*x^3-2*x^2)*ln(exp(20/x)+16*x+2)+(-10*x^2-20*x-60)*exp(20/x)-144*x^3+28*x^2)/((x^4+6*x^3+9*x^2)*exp(20/x)+16*x^5+98*x^4+156*x^3+18*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}^{\frac{20}{x}}+16 x +2\right)}{3+x}+\frac{10}{3+x}$&$27$\\ \hline \end{longtable}"," ",0,"1/(3+x)*ln(exp(20/x)+16*x+2)+10/(3+x)","A"
5390,1,33,24,0.285000," ","int((-3*ln(5)^2+(6*x^5+20*x^4+16*x^3-6*x)*ln(5)+5*x^6+16*x^5+12*x^4-3*x^2)/(3*ln(5)^2+6*x*ln(5)+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-x^{2}+\frac{4 x^{4}}{3}+\frac{4 x^{5}}{3}+\frac{x^{6}}{3}+\ln \left(5\right)^{2}}{\ln \left(5\right)+x}$&$33$\\ gosper&$\frac{x^{6}+4 x^{5}+4 x^{4}+3 \ln \left(5\right)^{2}-3 x^{2}}{3 \ln \left(5\right)+3 x}$&$34$\\ default&$\frac{x \ln \left(5\right)^{4}}{3}-\frac{x^{2} \ln \left(5\right)^{3}}{3}+\frac{x^{3} \ln \left(5\right)^{2}}{3}-\frac{x^{4} \ln \left(5\right)}{3}+\frac{x^{5}}{3}-\frac{4 \ln \left(5\right)^{3} x}{3}+\frac{4 x^{2} \ln \left(5\right)^{2}}{3}-\frac{4 x^{3} \ln \left(5\right)}{3}+\frac{4 x^{4}}{3}+\frac{4 x \ln \left(5\right)^{2}}{3}-\frac{4 x^{2} \ln \left(5\right)}{3}+\frac{4 x^{3}}{3}-x +\frac{\ln \left(5\right)^{4} \left(\ln \left(5\right)^{2}-4 \ln \left(5\right)+4\right)}{3 \ln \left(5\right)+3 x}$&$111$\\ risch&$\frac{x \ln \left(5\right)^{4}}{3}-\frac{x^{2} \ln \left(5\right)^{3}}{3}+\frac{x^{3} \ln \left(5\right)^{2}}{3}-\frac{x^{4} \ln \left(5\right)}{3}+\frac{x^{5}}{3}-\frac{4 \ln \left(5\right)^{3} x}{3}+\frac{4 x^{2} \ln \left(5\right)^{2}}{3}-\frac{4 x^{3} \ln \left(5\right)}{3}+\frac{4 x^{4}}{3}+\frac{4 x \ln \left(5\right)^{2}}{3}-\frac{4 x^{2} \ln \left(5\right)}{3}+\frac{4 x^{3}}{3}-x +\frac{\ln \left(5\right)^{6}}{3 \ln \left(5\right)+3 x}-\frac{4 \ln \left(5\right)^{5}}{3 \left(\ln \left(5\right)+x \right)}+\frac{4 \ln \left(5\right)^{4}}{3 \left(\ln \left(5\right)+x \right)}$&$125$\\ meijerg&$-\frac{x}{1+\frac{x}{\ln \left(5\right)}}+\ln \left(5\right)^{4} \left(2 \ln \left(5\right)+\frac{16}{3}\right) \left(-\frac{x \left(-\frac{3 x^{4}}{\ln \left(5\right)^{4}}+\frac{5 x^{3}}{\ln \left(5\right)^{3}}-\frac{10 x^{2}}{\ln \left(5\right)^{2}}+\frac{30 x}{\ln \left(5\right)}+60\right)}{12 \ln \left(5\right) \left(1+\frac{x}{\ln \left(5\right)}\right)}+5 \ln \left(1+\frac{x}{\ln \left(5\right)}\right)\right)+\ln \left(5\right)^{3} \left(\frac{20 \ln \left(5\right)}{3}+4\right) \left(\frac{x \left(\frac{5 x^{3}}{\ln \left(5\right)^{3}}-\frac{10 x^{2}}{\ln \left(5\right)^{2}}+\frac{30 x}{\ln \left(5\right)}+60\right)}{15 \ln \left(5\right) \left(1+\frac{x}{\ln \left(5\right)}\right)}-4 \ln \left(1+\frac{x}{\ln \left(5\right)}\right)\right)+\frac{16 \ln \left(5\right)^{3} \left(-\frac{x \left(-\frac{2 x^{2}}{\ln \left(5\right)^{2}}+\frac{6 x}{\ln \left(5\right)}+12\right)}{4 \ln \left(5\right) \left(1+\frac{x}{\ln \left(5\right)}\right)}+3 \ln \left(1+\frac{x}{\ln \left(5\right)}\right)\right)}{3}-2 \ln \left(5\right) \left(-\frac{x}{\ln \left(5\right) \left(1+\frac{x}{\ln \left(5\right)}\right)}+\ln \left(1+\frac{x}{\ln \left(5\right)}\right)\right)+\frac{5 \ln \left(5\right)^{5} \left(\frac{x \left(\frac{14 x^{5}}{\ln \left(5\right)^{5}}-\frac{21 x^{4}}{\ln \left(5\right)^{4}}+\frac{35 x^{3}}{\ln \left(5\right)^{3}}-\frac{70 x^{2}}{\ln \left(5\right)^{2}}+\frac{210 x}{\ln \left(5\right)}+420\right)}{70 \ln \left(5\right) \left(1+\frac{x}{\ln \left(5\right)}\right)}-6 \ln \left(1+\frac{x}{\ln \left(5\right)}\right)\right)}{3}-\ln \left(5\right) \left(\frac{x \left(\frac{3 x}{\ln \left(5\right)}+6\right)}{3 \ln \left(5\right) \left(1+\frac{x}{\ln \left(5\right)}\right)}-2 \ln \left(1+\frac{x}{\ln \left(5\right)}\right)\right)$&$364$\\ \hline \end{longtable}"," ",0,"(-x^2+4/3*x^4+4/3*x^5+1/3*x^6+ln(5)^2)/(ln(5)+x)","A"
5391,1,24,23,0.119000," ","int((((32*x+16)*exp(3/2-x)-48*x-48)*exp(x)+(-3*x-3)*exp(3/2-x)+9)/(768*exp(x)^2*x^2-288*exp(x)*x^2+27*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-\frac{{\mathrm e}^{\frac{3}{2}}}{3}+{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{x \left(16 \,{\mathrm e}^{x}-3\right)}$&$24$\\ risch&$\frac{{\mathrm e}^{\frac{3}{2}-x}}{9 x}-\frac{16 \,{\mathrm e}^{\frac{3}{2}}-9}{9 x \left(16 \,{\mathrm e}^{x}-3\right)}$&$32$\\ \hline \end{longtable}"," ",0,"(-1/3*exp(3/2)+exp(x))/x/exp(x)/(16*exp(x)-3)","A"
5392,0,0,29,0.176000," ","int((((10*x^6+58*x^5+10*x^4-240*x^3+160*x^2)*ln(1/3*x)^2-2*x^5*ln(1/3*x))*ln(((-5*x^4-29*x^3-5*x^2+120*x-80)*ln(1/3*x)+x^3)/x^2/ln(1/3*x))+(10*x^6+29*x^5-20*x^4+62*x^3-160*x^2-240*x+320)*ln(1/3*x)^2+(-x^5+2*x^3)*ln(1/3*x)+x^5-2*x^3)/((5*x^5+29*x^4+5*x^3-120*x^2+80*x)*ln(1/3*x)^2-x^4*ln(1/3*x)),x)","\[\int \frac{\left(\left(10 x^{6}+58 x^{5}+10 x^{4}-240 x^{3}+160 x^{2}\right) \ln \left(\frac{x}{3}\right)^{2}-2 x^{5} \ln \left(\frac{x}{3}\right)\right) \ln \left(\frac{\left(-5 x^{4}-29 x^{3}-5 x^{2}+120 x -80\right) \ln \left(\frac{x}{3}\right)+x^{3}}{x^{2} \ln \left(\frac{x}{3}\right)}\right)+\left(10 x^{6}+29 x^{5}-20 x^{4}+62 x^{3}-160 x^{2}-240 x +320\right) \ln \left(\frac{x}{3}\right)^{2}+\left(-x^{5}+2 x^{3}\right) \ln \left(\frac{x}{3}\right)+x^{5}-2 x^{3}}{\left(5 x^{5}+29 x^{4}+5 x^{3}-120 x^{2}+80 x \right) \ln \left(\frac{x}{3}\right)^{2}-x^{4} \ln \left(\frac{x}{3}\right)}\, dx\]"," ",0,"int((((10*x^6+58*x^5+10*x^4-240*x^3+160*x^2)*ln(1/3*x)^2-2*x^5*ln(1/3*x))*ln(((-5*x^4-29*x^3-5*x^2+120*x-80)*ln(1/3*x)+x^3)/x^2/ln(1/3*x))+(10*x^6+29*x^5-20*x^4+62*x^3-160*x^2-240*x+320)*ln(1/3*x)^2+(-x^5+2*x^3)*ln(1/3*x)+x^5-2*x^3)/((5*x^5+29*x^4+5*x^3-120*x^2+80*x)*ln(1/3*x)^2-x^4*ln(1/3*x)),x)","F"
5393,1,30,25,0.111000," ","int(((16*x+16)*exp(x)*ln(x)^2+32*exp(x)*ln(x)+(4*x^2-56*x-64)*exp(x)-4*exp(1)-8*x)/(4*x*exp(x)*ln(x)^2+(x^2-16*x)*exp(x)-x*exp(1)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 \ln \left(x \right)+4 \ln \left(-4 \,{\mathrm e}^{x} \ln \left(x \right)^{2}-{\mathrm e}^{x} x +{\mathrm e}+x +16 \,{\mathrm e}^{x}\right)$&$30$\\ risch&$4 x +4 \ln \left(x \right)+4 \ln \left(\ln \left(x \right)^{2}-\frac{\left(-{\mathrm e}^{x} x +{\mathrm e}+x +16 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{4}\right)$&$36$\\ \hline \end{longtable}"," ",0,"4*ln(x)+4*ln(-4*exp(x)*ln(x)^2-exp(x)*x+exp(1)+x+16*exp(x))","A"
5394,1,17,15,0.036000," ","int(1/12*(exp(x)-12*exp(1)-48*x+48)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(4 x +\frac{{\mathrm e}^{x} x}{12}+{\mathrm e}\right) {\mathrm e}^{-x}$&$17$\\ default&$\frac{x}{12}+4 x \,{\mathrm e}^{-x}+{\mathrm e} \,{\mathrm e}^{-x}$&$19$\\ risch&$\frac{x}{12}+\frac{\left(12 \,{\mathrm e}+48 x \right) {\mathrm e}^{-x}}{12}$&$19$\\ \hline \end{longtable}"," ",0,"(4*x+1/12*exp(x)*x+exp(1))/exp(x)","A"
5395,1,20,23,0.072000," ","int((5*x*exp(x-5)-400*x^2-50*x-10)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-50 x -200 x^{2}+5 \,{\mathrm e}^{x -5}-10 \ln \left(x \right)$&$20$\\ risch&$-50 x -200 x^{2}+5 \,{\mathrm e}^{x -5}-10 \ln \left(x \right)$&$20$\\ derivativedivides&$5 \,{\mathrm e}^{x -5}-10 \ln \left(x \right)-2050 x +10250-200 \left(x -5\right)^{2}$&$23$\\ default&$5 \,{\mathrm e}^{x -5}-10 \ln \left(x \right)-2050 x +10250-200 \left(x -5\right)^{2}$&$23$\\ \hline \end{longtable}"," ",0,"-50*x-200*x^2+5*exp(x-5)-10*ln(x)","A"
5396,1,14,15,0.027000," ","int(5/3*exp(x)-40/3*x+100/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{100 x}{3}-\frac{20 x^{2}}{3}+\frac{5 \,{\mathrm e}^{x}}{3}$&$14$\\ norman&$\frac{100 x}{3}-\frac{20 x^{2}}{3}+\frac{5 \,{\mathrm e}^{x}}{3}$&$14$\\ risch&$\frac{100 x}{3}-\frac{20 x^{2}}{3}+\frac{5 \,{\mathrm e}^{x}}{3}$&$14$\\ \hline \end{longtable}"," ",0,"100/3*x-20/3*x^2+5/3*exp(x)","A"
5397,1,28,26,0.154000," ","int(((8*x^5+4*x^3-6*x^2)*exp(5)*ln(1/4*(4*x^3+2*x-3)/x^2)+(8*x^5-4*x^3+12*x^2)*exp(5)+400*x^3+200*x-300)/(4*x^5+2*x^3-3*x^2)/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \ln \left(\frac{4 x^{3}+2 x -3}{4 x^{2}}\right)-\frac{100 \,{\mathrm e}^{-5}}{x}$&$28$\\ norman&$\frac{-100 \,{\mathrm e}^{-5}+2 x^{2} \ln \left(\frac{4 x^{3}+2 x -3}{4 x^{2}}\right)}{x}$&$33$\\ default&${\mathrm e}^{-5} \left(-4 x \,{\mathrm e}^{5} \ln \left(2\right)+2 \,{\mathrm e}^{5} x \ln \left(\frac{4 x^{3}+2 x -3}{x^{2}}\right)-{\mathrm e}^{5} \left(\munderset{\textit{\_R} =\RootOf \left(4 \textit{\_Z}^{3}+2 \textit{\_Z} -3\right)}{\sum}\frac{\left(-4 \textit{\_R} +9\right) \ln \left(x -\textit{\_R} \right)}{6 \textit{\_R}^{2}+1}\right)-\frac{100}{x}-\left(\munderset{\textit{\_R} =\RootOf \left(4 \textit{\_Z}^{3}+2 \textit{\_Z} -3\right)}{\sum}\frac{\left(4 \textit{\_R} -9\right) \ln \left(x -\textit{\_R} \right)}{6 \textit{\_R}^{2}+1}\right) {\mathrm e}^{5}\right)$&$117$\\ \hline \end{longtable}"," ",0,"2*x*ln(1/4*(4*x^3+2*x-3)/x^2)-100/x*exp(-5)","A"
5398,1,34,18,0.151000," ","int(((2*x^5-30*x^4+180*x^3-540*x^2+810*x-486)*exp(x)^3-4*exp(x)+(x^5-15*x^4+90*x^3-270*x^2+405*x-243)*exp(4))/(x^5-15*x^4+90*x^3-270*x^2+405*x-243)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x^{4}-12 x^{3}+54 x^{2}-108 x +81}+{\mathrm e}^{2 x}-{\mathrm e}^{-x +4}$&$34$\\ norman&$\frac{\left(x^{4} {\mathrm e}^{3 x}+{\mathrm e}^{x}+81 \,{\mathrm e}^{3 x}+108 x \,{\mathrm e}^{4}-108 x \,{\mathrm e}^{3 x}-54 x^{2} {\mathrm e}^{4}+54 x^{2} {\mathrm e}^{3 x}+12 x^{3} {\mathrm e}^{4}-12 x^{3} {\mathrm e}^{3 x}-x^{4} {\mathrm e}^{4}-81 \,{\mathrm e}^{4}\right) {\mathrm e}^{-x}}{\left(x -3\right)^{4}}$&$83$\\ default&${\mathrm e}^{4} \left(-{\mathrm e}^{-x}-\frac{9 \,{\mathrm e}^{-x} \left(11 x^{3}-30 x^{2}-15 x +72\right)}{8 \left(x^{4}-12 x^{3}+54 x^{2}-108 x +81\right)}-\frac{21 \,{\mathrm e}^{-3} \expIntegralEi \left(1, x -3\right)}{8}\right)+\frac{1}{\left(x -3\right)^{4}}-243 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{-x} \left(x^{3}-10 x^{2}+35 x -48\right)}{24 x^{4}-288 x^{3}+1296 x^{2}-2592 x +1944}-\frac{{\mathrm e}^{-3} \expIntegralEi \left(1, x -3\right)}{24}\right)+{\mathrm e}^{2 x}+405 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{-x} \left(x^{3}-10 x^{2}+35 x -24\right)}{24 \left(x^{4}-12 x^{3}+54 x^{2}-108 x +81\right)}+\frac{{\mathrm e}^{-3} \expIntegralEi \left(1, x -3\right)}{24}\right)-270 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{-x} \left(x^{3}-10 x^{2}+43 x -48\right)}{8 \left(x^{4}-12 x^{3}+54 x^{2}-108 x +81\right)}+\frac{{\mathrm e}^{-3} \expIntegralEi \left(1, x -3\right)}{8}\right)+90 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{-x} x \left(x^{2}-18 x +27\right)}{8 x^{4}-96 x^{3}+432 x^{2}-864 x +648}-\frac{{\mathrm e}^{-3} \expIntegralEi \left(1, x -3\right)}{8}\right)-15 \,{\mathrm e}^{4} \left(\frac{3 \,{\mathrm e}^{-x} \left(x^{3}-42 x^{2}+147 x -144\right)}{8 \left(x^{4}-12 x^{3}+54 x^{2}-108 x +81\right)}-\frac{11 \,{\mathrm e}^{-3} \expIntegralEi \left(1, x -3\right)}{8}\right)$&$332$\\ \hline \end{longtable}"," ",0,"1/(x^4-12*x^3+54*x^2-108*x+81)+exp(2*x)-exp(-x+4)","A"
5399,1,251,25,0.346000," ","int((((3750*x^3-7500*x)*ln(x)-1875*x^3+3750*x)*ln((4*x^4-16*x^2+16)/x^2)+(-3750*x^3-7500*x)*ln(x))/(x^2-2)/ln(x)^2/ln((4*x^4-16*x^2+16)/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3750 i x^{2}}{\ln \left(x \right) \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left(x^{2}-2\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-2\right)^{2}}{x^{2}}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-2\right)^{2}}{x^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x^{2}-2\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}-2\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x^{2}-2\right)\right) \mathrm{csgn}\left(i \left(x^{2}-2\right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x^{2}-2\right)^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i \left(x^{2}-2\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-2\right)^{2}}{x^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(x^{2}-2\right)^{2}}{x^{2}}\right)^{3}+4 i \ln \left(x \right)-4 i \ln \left(x^{2}-2\right)-4 i \ln \left(2\right)\right)}$&$251$\\ \hline \end{longtable}"," ",0,"-3750*I*x^2/ln(x)/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I/x^2)*csgn(I*(x^2-2)^2)*csgn(I/x^2*(x^2-2)^2)+Pi*csgn(I/x^2)*csgn(I/x^2*(x^2-2)^2)^2-Pi*csgn(I*(x^2-2))^2*csgn(I*(x^2-2)^2)+2*Pi*csgn(I*(x^2-2))*csgn(I*(x^2-2)^2)^2-Pi*csgn(I*(x^2-2)^2)^3+Pi*csgn(I*(x^2-2)^2)*csgn(I/x^2*(x^2-2)^2)^2-Pi*csgn(I/x^2*(x^2-2)^2)^3+4*I*ln(x)-4*I*ln(x^2-2)-4*I*ln(2))","C"
5400,1,16,15,0.144000," ","int((2*x+1)/(x*ln(x)+x*exp(1)+2*x^2+15*x)/ln(-ln(x)-exp(1)-2*x-15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(-\ln \left(x \right)-{\mathrm e}-2 x -15\right)\right)$&$16$\\ risch&$\ln \left(\ln \left(-\ln \left(x \right)-{\mathrm e}-2 x -15\right)\right)$&$16$\\ \hline \end{longtable}"," ",0,"ln(ln(-ln(x)-exp(1)-2*x-15))","A"
5401,1,19,25,0.057000," ","int(((12*x-18)*ln(2*x)+12*x^2-120*x+198)/(x*ln(2*x)+x^2-10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$12 x -18 \ln \left(x \right)+18 \ln \left(\ln \left(2 x \right)+x -10\right)$&$19$\\ norman&$-18 \ln \left(2 x \right)+12 x +18 \ln \left(\ln \left(2 x \right)+x -10\right)$&$21$\\ \hline \end{longtable}"," ",0,"12*x-18*ln(x)+18*ln(ln(2*x)+x-10)","A"
5402,1,25,22,0.030000," ","int((-ln(x)+(-6*x^2+24*x-12)*exp(2*x)+1)/(4*ln(x)^2+((-24*x+96)*exp(2*x)-8*x)*ln(x)+(36*x^2-288*x+576)*exp(2*x)^2+(24*x^2-96*x)*exp(2*x)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{12 x \,{\mathrm e}^{2 x}+4 x -48 \,{\mathrm e}^{2 x}-4 \ln \left(x \right)}$&$25$\\ \hline \end{longtable}"," ",0,"1/4*x/(3*x*exp(2*x)+x-12*exp(2*x)-ln(x))","A"
5403,1,17,17,0.026000," ","int(1/16*(16*exp(x)^2-2*x^2-34*x-145)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(\frac{163}{2}+18 x +x^{2}\right) {\mathrm e}^{-2 x}}{16}$&$17$\\ norman&$\left(\frac{163}{32}+x \,{\mathrm e}^{2 x}+\frac{9 x}{8}+\frac{x^{2}}{16}\right) {\mathrm e}^{-2 x}$&$22$\\ default&$x +\frac{163 \,{\mathrm e}^{-2 x}}{32}+\frac{9 x \,{\mathrm e}^{-2 x}}{8}+\frac{x^{2} {\mathrm e}^{-2 x}}{16}$&$25$\\ \hline \end{longtable}"," ",0,"x+1/16*(163/2+18*x+x^2)*exp(-2*x)","A"
5404,1,42,18,0.352000," ","int((6*exp(4)-10*x-6)*ln(30*x^3*exp(4)^2+(-60*x^4-60*x^3)*exp(4)+30*x^5+60*x^4+30*x^3)*exp(ln(30*x^3*exp(4)^2+(-60*x^4-60*x^3)*exp(4)+30*x^5+60*x^4+30*x^3)^2)/(x*exp(4)-x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\ln \left(30 x^{3} {\mathrm e}^{8}+\left(-60 x^{4}-60 x^{3}\right) {\mathrm e}^{4}+30 x^{5}+60 x^{4}+30 x^{3}\right)^{2}}$&$42$\\ norman&${\mathrm e}^{\ln \left(30 x^{3} {\mathrm e}^{8}+\left(-60 x^{4}-60 x^{3}\right) {\mathrm e}^{4}+30 x^{5}+60 x^{4}+30 x^{3}\right)^{2}}$&$44$\\ \hline \end{longtable}"," ",0,"exp(ln(30*x^3*exp(8)+(-60*x^4-60*x^3)*exp(4)+30*x^5+60*x^4+30*x^3)^2)","B"
5405,1,92,23,0.201000," ","int((((-5*exp(x)+5*x+2)*ln(exp(x)-x-2/5)*ln(x*ln(exp(x)-x-2/5))+((5*x-5)*exp(x)-5*x^2+3*x+2)*ln(exp(x)-x-2/5))*ln(-ln(x*ln(exp(x)-x-2/5))+x-1)+((-5*x+5)*exp(x)+5*x^2-3*x-2)*ln(exp(x)-x-2/5)+5*exp(x)*x-5*x)/((5*exp(x)*x-5*x^2-2*x)*ln(exp(x)-x-2/5)*ln(x*ln(exp(x)-x-2/5))+((-5*x^2+5*x)*exp(x)+5*x^3-3*x^2-2*x)*ln(exp(x)-x-2/5))/ln(-ln(x*ln(exp(x)-x-2/5))+x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\ln \left(\ln \left(-\ln \left(x \right)-\ln \left(\ln \left({\mathrm e}^{x}-x -\frac{2}{5}\right)\right)+\frac{i \pi  \,\mathrm{csgn}\left(i x \ln \left({\mathrm e}^{x}-x -\frac{2}{5}\right)\right) \left(-\mathrm{csgn}\left(i x \ln \left({\mathrm e}^{x}-x -\frac{2}{5}\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \ln \left({\mathrm e}^{x}-x -\frac{2}{5}\right)\right)+\mathrm{csgn}\left(i \ln \left({\mathrm e}^{x}-x -\frac{2}{5}\right)\right)\right)}{2}+x -1\right)\right)$&$92$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(ln(-ln(x)-ln(ln(exp(x)-x-2/5))+1/2*I*Pi*csgn(I*x*ln(exp(x)-x-2/5))*(-csgn(I*x*ln(exp(x)-x-2/5))+csgn(I*x))*(-csgn(I*x*ln(exp(x)-x-2/5))+csgn(I*ln(exp(x)-x-2/5)))+x-1))","C"
5406,1,33,25,0.042000," ","int((-12005*x^6-156751*x^5-637147*x^4-360810*x^3+2861676*x^2+4317192*x+29808)/(6480*x^3+1296*x^2-29808*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{2401 x^{4}}{5184}-\frac{1715 x^{3}}{216}-\frac{1225 x^{2}}{24}-\frac{869 x}{6}-\ln \left(x \right)+\ln \left(5 x^{2}+x -23\right)$&$33$\\ norman&$-\frac{2401 x^{4}}{5184}-\frac{1715 x^{3}}{216}-\frac{1225 x^{2}}{24}-\frac{869 x}{6}-\ln \left(x \right)+\ln \left(5 x^{2}+x -23\right)$&$33$\\ risch&$-\frac{2401 x^{4}}{5184}-\frac{1715 x^{3}}{216}-\frac{1225 x^{2}}{24}-\frac{869 x}{6}-\ln \left(x \right)+\ln \left(5 x^{2}+x -23\right)$&$33$\\ \hline \end{longtable}"," ",0,"-2401/5184*x^4-1715/216*x^3-1225/24*x^2-869/6*x-ln(x)+ln(5*x^2+x-23)","A"
5407,1,22,26,0.063000," ","int((((-8*x^2*exp(x^2)-4)*ln(x)-4)*exp(exp(x^2))+8*x+1)/(400*x^2*ln(x)^2*exp(exp(x^2))^2+(-800*x^3-200*x^2)*ln(x)*exp(exp(x^2))+400*x^4+200*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{25 x \left(-4 \,{\mathrm e}^{{\mathrm e}^{x^{2}}} \ln \left(x \right)+4 x +1\right)}$&$22$\\ \hline \end{longtable}"," ",0,"-1/25/x/(-4*exp(exp(x^2))*ln(x)+4*x+1)","A"
5408,1,24,20,0.185000," ","int(((240*x^4-960*x^3+25*x^2+670*x-720)*ln(3)*exp(x)+2304*x^8+480*x^6+13824*x^5+25*x^4+1440*x^3+20736*x^2)/(2304*x^8+480*x^6+13824*x^5+25*x^4+1440*x^3+20736*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{5 \ln \left(3\right) {\mathrm e}^{x}}{x \left(48 x^{3}+5 x +144\right)}$&$24$\\ norman&$\frac{-\frac{20736 x}{5}-\frac{6912 x^{4}}{5}+5 x^{3}+48 x^{5}+5 \ln \left(3\right) {\mathrm e}^{x}}{x \left(48 x^{3}+5 x +144\right)}$&$42$\\ default&$\frac{-\frac{155520}{6718589} x^{2}+\frac{6718464}{6718589} x -\frac{10800}{6718589}}{x^{3}+\frac{5}{48} x +3}+\frac{2985984 \left(\munderset{\textit{\_R} =\RootOf \left(48 \textit{\_Z}^{3}+5 \textit{\_Z} +144\right)}{\sum}\frac{\left(-5 \textit{\_R} +432\right) \ln \left(x -\textit{\_R} \right)}{144 \textit{\_R}^{2}+5}\right)}{6718589}+\frac{\frac{466560}{6718589} x^{2}+\frac{375}{6718589} x +\frac{32400}{6718589}}{x^{3}+\frac{5}{48} x +3}+\frac{1440 \left(\munderset{\textit{\_R} =\RootOf \left(48 \textit{\_Z}^{3}+5 \textit{\_Z} +144\right)}{\sum}\frac{\left(15552 \textit{\_R} +25\right) \ln \left(x -\textit{\_R} \right)}{144 \textit{\_R}^{2}+5}\right)}{6718589}+\frac{\frac{625}{644984544} x^{2}-\frac{1125}{26874356} x -\frac{24300}{6718589}}{x^{3}+\frac{5}{48} x +3}+\frac{125 \left(\munderset{\textit{\_R} =\RootOf \left(48 \textit{\_Z}^{3}+5 \textit{\_Z} +144\right)}{\sum}\frac{\left(5 \textit{\_R} -432\right) \ln \left(x -\textit{\_R} \right)}{144 \textit{\_R}^{2}+5}\right)}{13437178}+\frac{-\frac{155520}{6718589} x^{2}-\frac{13437303}{6718589} x -\frac{10800}{6718589}}{x^{3}+\frac{5}{48} x +3}+\frac{-\frac{22395505}{322492272} x^{2}+\frac{375}{13437178} x +\frac{16200}{6718589}}{x^{3}+\frac{5}{48} x +3}+\frac{5 \left(\munderset{\textit{\_R} =\RootOf \left(48 \textit{\_Z}^{3}+5 \textit{\_Z} +144\right)}{\sum}\frac{\left(8958077 \textit{\_R} +3600\right) \ln \left(x -\textit{\_R} \right)}{144 \textit{\_R}^{2}+5}\right)}{6718589}+x -\frac{-\frac{29860465}{644984544} x^{2}-\frac{26874231}{26874356} x +\frac{2700}{6718589}}{x^{3}+\frac{5}{48} x +3}-\frac{3 \left(\munderset{\textit{\_R} =\RootOf \left(48 \textit{\_Z}^{3}+5 \textit{\_Z} +144\right)}{\sum}\frac{\left(34837105 \textit{\_R} +859981392\right) \ln \left(x -\textit{\_R} \right)}{144 \textit{\_R}^{2}+5}\right)}{13437178}+\frac{5 \ln \left(3\right) {\mathrm e}^{x}}{x \left(48 x^{3}+5 x +144\right)}+\frac{5 \ln \left(3\right) \left(\munderset{\textit{\_R1} =\RootOf \left(48 \textit{\_Z}^{3}+5 \textit{\_Z} +144\right)}{\sum}\frac{\left(9352563888 \textit{\_R1}^{2}-30971987712 \textit{\_R1} +1536585725\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{144 \textit{\_R1}^{2}+5}\right)}{69658330752}+\frac{335 \ln \left(3\right) \left(\munderset{\textit{\_R1} =\RootOf \left(48 \textit{\_Z}^{3}+5 \textit{\_Z} +144\right)}{\sum}\frac{\left(322665072 \textit{\_R1}^{2}-7637760 \textit{\_R1} +371027137\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{144 \textit{\_R1}^{2}+5}\right)}{69658330752}-\frac{25 \ln \left(3\right) \left(\munderset{\textit{\_R1} =\RootOf \left(48 \textit{\_Z}^{3}+5 \textit{\_Z} +144\right)}{\sum}\frac{\left(360 \textit{\_R1}^{2}-15912 \textit{\_R1} +31129\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{144 \textit{\_R1}^{2}+5}\right)}{6718589}+\frac{120 \ln \left(3\right) \left(\munderset{\textit{\_R1} =\RootOf \left(48 \textit{\_Z}^{3}+5 \textit{\_Z} +144\right)}{\sum}\frac{\left(25 \textit{\_R1}^{2}-1105 \textit{\_R1} -91152\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{144 \textit{\_R1}^{2}+5}\right)}{6718589}-\frac{480 \ln \left(3\right) \left(\munderset{\textit{\_R1} =\RootOf \left(48 \textit{\_Z}^{3}+5 \textit{\_Z} +144\right)}{\sum}\frac{\left(31104 \textit{\_R1}^{2}-31079 \textit{\_R1} +2110\right) {\mathrm e}^{\textit{\_R1}} \expIntegralEi \left(1, -x +\textit{\_R1} \right)}{144 \textit{\_R1}^{2}+5}\right)}{6718589}$&$576$\\ \hline \end{longtable}"," ",0,"x+5*ln(3)*exp(x)/x/(48*x^3+5*x+144)","A"
5409,1,50,25,0.142000," ","int(((-32*x^3+512*x^2-2048*x+16)*exp(1)*exp(x)-8*x^4+112*x^3-257*x^2-1016*x+8)/(128*x^6-2048*x^5+8224*x^4-256*x^3+2*x^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-4+64 x^{2} {\mathrm e} \,{\mathrm e}^{x}-8 x^{3} {\mathrm e} \,{\mathrm e}^{x}+\frac{x}{2}-8 \,{\mathrm e} \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{x \left(8 x^{2}-64 x +1\right)}$&$50$\\ risch&$\frac{x \,{\mathrm e}-8 \,{\mathrm e}}{\left(8 x^{2}-64 x +1\right) x}+\frac{\left(-8+x \right) {\mathrm e}^{-x}}{2 \left(8 x^{2}-64 x +1\right) x}$&$53$\\ default&$\frac{1028 \,{\mathrm e} x}{127 \left(x^{2}-8 x +\frac{1}{8}\right)}-\frac{8176 \,{\mathrm e}}{127 \left(x^{2}-8 x +\frac{1}{8}\right)}-\frac{24 \,{\mathrm e} \sqrt{254}\, \arctanh \left(\frac{\left(16 x -64\right) \sqrt{254}}{1016}\right)}{16129}-\frac{8 \,{\mathrm e}}{x}-\frac{4 \,{\mathrm e}^{-x} \left(2036 x^{2}-16272 x +127\right)}{127 \left(8 x^{2}-64 x +1\right) x}+256 \,{\mathrm e} \left(-\frac{16 x -64}{4064 \left(8 x^{2}-64 x +1\right)}+\frac{\sqrt{254}\, \arctanh \left(\frac{\left(16 x -64\right) \sqrt{254}}{1016}\right)}{129032}\right)-16 \,{\mathrm e} \left(-\frac{64 x -2}{4064 \left(8 x^{2}-64 x +1\right)}+\frac{\sqrt{254}\, \arctanh \left(\frac{\left(16 x -64\right) \sqrt{254}}{1016}\right)}{32258}\right)+\frac{2 \,{\mathrm e}^{-x} \left(32 x -255\right)}{8 x^{2}-64 x +1}+\frac{257 \,{\mathrm e}^{-x} \left(x -4\right)}{508 \left(8 x^{2}-64 x +1\right)}-\frac{7 \,{\mathrm e}^{-x} \left(32 x -1\right)}{254 \left(8 x^{2}-64 x +1\right)}+\frac{{\mathrm e}^{-x} \left(255 x -4\right)}{4064 x^{2}-32512 x +508}$&$257$\\ \hline \end{longtable}"," ",0,"(-4+64*x^2*exp(1)*exp(x)-8*x^3*exp(1)*exp(x)+1/2*x-8*exp(1)*exp(x))/x/(8*x^2-64*x+1)/exp(x)","A"
5410,1,38,29,5.739000," ","int((((x^3-12*x^2+48*x-64)*exp(1)-5*x^3+60*x^2-240*x+320)*exp(-x/(exp(1)-5))^3+((3*x^4-24*x^3+48*x^2)*exp(1)-15*x^4+120*x^3-240*x^2)*exp(-x/(exp(1)-5))^2+((3*x^5-20*x^4+64*x^3)*exp(1)-23*x^5+132*x^4-320*x^3)*exp(-x/(exp(1)-5))+x^6*exp(1)-5*x^6)/(((x^3-12*x^2+48*x-64)*exp(1)-5*x^3+60*x^2-240*x+320)*exp(-x/(exp(1)-5))^3+((3*x^4-24*x^3+48*x^2)*exp(1)-15*x^4+120*x^3-240*x^2)*exp(-x/(exp(1)-5))^2+((3*x^5-12*x^4)*exp(1)-15*x^5+60*x^4)*exp(-x/(exp(1)-5))+x^6*exp(1)-5*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{4 x^{4}}{\left(x^{2}+x \,{\mathrm e}^{-\frac{x}{{\mathrm e}-5}}-4 \,{\mathrm e}^{-\frac{x}{{\mathrm e}-5}}\right)^{2}}$&$38$\\ norman&$\frac{x^{5}+64 \,{\mathrm e}^{-\frac{2 x}{{\mathrm e}-5}}+{\mathrm e}^{-\frac{2 x}{{\mathrm e}-5}} x^{3}-32 x^{2} {\mathrm e}^{-\frac{x}{{\mathrm e}-5}}-16 x \,{\mathrm e}^{-\frac{2 x}{{\mathrm e}-5}}-4 x^{2} {\mathrm e}^{-\frac{2 x}{{\mathrm e}-5}}+2 x^{4} {\mathrm e}^{-\frac{x}{{\mathrm e}-5}}}{\left(x^{2}+x \,{\mathrm e}^{-\frac{x}{{\mathrm e}-5}}-4 \,{\mathrm e}^{-\frac{x}{{\mathrm e}-5}}\right)^{2}}$&$128$\\ \hline \end{longtable}"," ",0,"x-4*x^4/(x^2+x*exp(-x/(exp(1)-5))-4*exp(-x/(exp(1)-5)))^2","A"
5411,1,30,25,0.447000," ","int((((-8*x-88)*exp(3)+24*x^2)*ln(2)+24*x*exp(3)-72*x^2)*exp((3*x*ln(((11+x)*ln(2)-3*x)/ln(2))+exp(3))/x)/((x^3+11*x^2)*ln(2)-3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$8 \,{\mathrm e}^{\frac{3 x \ln \left(\frac{\left(11+x \right) \ln \left(2\right)-3 x}{\ln \left(2\right)}\right)+{\mathrm e}^{3}}{x}}$&$30$\\ gosper&$8 \,{\mathrm e}^{\frac{3 x \ln \left(\frac{x \ln \left(2\right)+11 \ln \left(2\right)-3 x}{\ln \left(2\right)}\right)+{\mathrm e}^{3}}{x}}$&$32$\\ risch&$\frac{8 \left(x^{3} \ln \left(2\right)^{3}+33 x^{2} \ln \left(2\right)^{3}-9 x^{3} \ln \left(2\right)^{2}+363 x \ln \left(2\right)^{3}-198 x^{2} \ln \left(2\right)^{2}+27 x^{3} \ln \left(2\right)+1331 \ln \left(2\right)^{3}-1089 x \ln \left(2\right)^{2}+297 x^{2} \ln \left(2\right)-27 x^{3}\right) \left(\left(11+x \right) \ln \left(2\right)-3 x \right)^{3} {\mathrm e}^{\frac{{\mathrm e}^{3}}{x}}}{\left(x \ln \left(2\right)+11 \ln \left(2\right)-3 x \right)^{3} \ln \left(2\right)^{3}}$&$115$\\ default&$\text{Expression too large to display}$&$3586$\\ \hline \end{longtable}"," ",0,"8*exp((3*x*ln(((11+x)*ln(2)-3*x)/ln(2))+exp(3))/x)","A"
5412,1,14,14,0.063000," ","int(-3/5*exp(-3*x+5)*exp(1/5*exp(-3*x+5))-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x +{\mathrm e}^{\frac{{\mathrm e}^{-3 x +5}}{5}}$&$14$\\ norman&$-2 x +{\mathrm e}^{\frac{{\mathrm e}^{-3 x +5}}{5}}$&$14$\\ risch&$-2 x +{\mathrm e}^{\frac{{\mathrm e}^{-3 x +5}}{5}}$&$14$\\ derivativedivides&$\frac{2 \ln \left(\frac{{\mathrm e}^{-3 x +5}}{5}\right)}{3}+{\mathrm e}^{\frac{{\mathrm e}^{-3 x +5}}{5}}$&$22$\\ \hline \end{longtable}"," ",0,"-2*x+exp(1/5*exp(-3*x+5))","A"
5413,1,24,20,0.062000," ","int((-2*x*exp(3)+3*x^2+48*x)*exp(-1/2*x^2*exp(3)+1/2*x^3+12*x^2)/(2*exp(2)+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{-\frac{x^{2} \left({\mathrm e}^{3}-x -24\right)}{2}}}{2 \,{\mathrm e}^{2}+2}$&$24$\\ gosper&$\frac{{\mathrm e}^{-\frac{x^{2} {\mathrm e}^{3}}{2}+\frac{x^{3}}{2}+12 x^{2}}}{{\mathrm e}^{2}+1}$&$27$\\ norman&$\frac{{\mathrm e}^{-\frac{x^{2} {\mathrm e}^{3}}{2}+\frac{x^{3}}{2}+12 x^{2}}}{{\mathrm e}^{2}+1}$&$27$\\ \hline \end{longtable}"," ",0,"2/(2*exp(2)+2)*exp(-1/2*x^2*(exp(3)-x-24))","A"
5414,1,27,20,0.197000," ","int((-4*x^3+30*x^2-68*x+30)*(3+x)^3/(x^3-3*x^2-9*x+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{4}-6 x^{3}+2 x^{2}+78 x +\frac{432}{x -3}$&$27$\\ risch&$-x^{4}-6 x^{3}+2 x^{2}+78 x +\frac{432}{x -3}$&$27$\\ gosper&$-\frac{x^{5}+3 x^{4}-20 x^{3}-72 x^{2}+270}{x -3}$&$28$\\ norman&$\frac{-x^{5}-3 x^{4}+20 x^{3}+72 x^{2}-270}{x -3}$&$29$\\ \hline \end{longtable}"," ",0,"-x^4-6*x^3+2*x^2+78*x+432/(x-3)","A"
5415,1,6,11,0.019000," ","int(180*ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$180 x \ln \left(2\right)$&$6$\\ norman&$180 x \ln \left(2\right)$&$6$\\ risch&$180 x \ln \left(2\right)$&$6$\\ \hline \end{longtable}"," ",0,"180*x*ln(2)","A"
5416,1,33,27,0.217000," ","int(((24*exp(2*x)+(16*x+8)*exp(4))*exp(((x-3)*exp(2*x)-exp(4))/x/exp(2*x))^2-exp(2*x)*x^2)/exp(2*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{-\frac{2 \left(-x \,{\mathrm e}^{2 x}+{\mathrm e}^{4}+3 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{-2 x}}{x}}-x$&$33$\\ norman&$\frac{\left(-{\mathrm e}^{2 x} x^{2}+4 x \,{\mathrm e}^{2 x} {\mathrm e}^{\frac{2 \left(\left(x -3\right) {\mathrm e}^{2 x}-{\mathrm e}^{4}\right) {\mathrm e}^{-2 x}}{x}}\right) {\mathrm e}^{-2 x}}{x}$&$54$\\ \hline \end{longtable}"," ",0,"4*exp(-2*(-x*exp(2*x)+exp(4)+3*exp(2*x))*exp(-2*x)/x)-x","A"
5417,1,16,26,0.030000," ","int((exp(x)*x^3-50*exp(2)-5*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5}{x}+\frac{25 \,{\mathrm e}^{2}}{x^{2}}+{\mathrm e}^{x}$&$16$\\ risch&$\frac{25 \,{\mathrm e}^{2}+5 x}{x^{2}}+{\mathrm e}^{x}$&$16$\\ norman&$\frac{{\mathrm e}^{x} x^{2}+5 x +25 \,{\mathrm e}^{2}}{x^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"5/x+25*exp(2)/x^2+exp(x)","A"
5418,1,2134,29,3.091000," ","int(1/65536*(-344373768+65536*(8*x^16-216*x^15+2592*x^14-18144*x^13+81648*x^12-244944*x^11+489888*x^10-629857*x^9+472419*x^8-157788*x^7+2268*x^6-10206*x^5+30618*x^4-61236*x^3+78732*x^2-59049*x+19683)*ln(2)^16+16384*(432*x^14-10584*x^13+113400*x^12-694008*x^11+2653560*x^10-6491016*x^9+9920232*x^8-8660520*x^7+3306744*x^6)*ln(2)^14+4096*(9072*x^12-204120*x^11+1959552*x^10-10410120*x^9+33067440*x^8-62828136*x^7+66134880*x^6-29760696*x^5)*ln(2)^12+1024*(81648*x^10-1837080*x^9+16533720*x^8-77157360*x^7+198404640*x^6-267846264*x^5+148803480*x^4)*ln(2)^10+256*(-5511240*x^7+66134880*x^6-297606960*x^5+595213920*x^4-446410440*x^3)*ln(2)^8+64*(-6613488*x^6+29760696*x^5+89282088*x^4-624974616*x^3+803538792*x^2)*ln(2)^6+16*(-59521392*x^4+267846264*x^3-803538792*x)*ln(2)^4+4*(-229582512*x^2+573956280*x+344373768)*ln(2)^2-8*ln(5)^16+384*ln(5)^15+(16384*(48*x^14-1176*x^13+12600*x^12-77112*x^11+294840*x^10-721224*x^9+1102248*x^8-962280*x^7+367416*x^6)*ln(2)^14+4096*(6048*x^12-136080*x^11+1306368*x^10-6940080*x^9+22044960*x^8-41885424*x^7+44089920*x^6-19840464*x^5)*ln(2)^12+1024*(136080*x^10-3061800*x^9+27556200*x^8-128595600*x^7+330674400*x^6-446410440*x^5+248005800*x^4)*ln(2)^10+256*(-17146080*x^7+205752960*x^6-925888320*x^5+1851776640*x^4-1388832480*x^3)*ln(2)^8+64*(-33067440*x^6+148803480*x^5+446410440*x^4-3124873080*x^3+4017693960*x^2)*ln(2)^6+16*(-436490208*x^4+1964205936*x^3-5892617808*x)*ln(2)^4+4*(-2321334288*x^2+5803335720*x+3482001432)*ln(2)^2-4591650240)*ln(5)^2+(256*(20160*x^7-241920*x^6+1088640*x^5-2177280*x^4+1632960*x^3)*ln(2)^8+64*(362880*x^6-1632960*x^5-4898880*x^4+34292160*x^3-44089920*x^2)*ln(2)^6+16*(21555072*x^4-96997824*x^3+290993472*x)*ln(2)^4+4*(360277632*x^2-900694080*x-540416448)*ln(2)^2+1801388160)*ln(5)^7+(16384*(-288*x^14+7056*x^13-75600*x^12+462672*x^11-1769040*x^10+4327344*x^9-6613488*x^8+5773680*x^7-2204496*x^6)*ln(2)^14+4096*(-12096*x^12+272160*x^11-2612736*x^10+13880160*x^9-44089920*x^8+83770848*x^7-88179840*x^6+39680928*x^5)*ln(2)^12+1024*(-163296*x^10+3674160*x^9-33067440*x^8+154314720*x^7-396809280*x^6+535692528*x^5-297606960*x^4)*ln(2)^10+256*(14696640*x^7-176359680*x^6+793618560*x^5-1587237120*x^4+1190427840*x^3)*ln(2)^8+64*(22044960*x^6-99202320*x^5-297606960*x^4+2083248720*x^3-2678462640*x^2)*ln(2)^6+16*(238085568*x^4-1071385056*x^3+3214155168*x)*ln(2)^4+4*(1071385056*x^2-2678462640*x-1607077584)*ln(2)^2+1836660096)*ln(5)+(4096*(112*x^12-2520*x^11+24192*x^10-128520*x^9+408240*x^8-775656*x^7+816480*x^6-367416*x^5)*ln(2)^12+1024*(15120*x^10-340200*x^9+3061800*x^8-14288400*x^7+36741600*x^6-49601160*x^5+27556200*x^4)*ln(2)^10+256*(-4762800*x^7+57153600*x^6-257191200*x^5+514382400*x^4-385786800*x^3)*ln(2)^8+64*(-17146080*x^6+77157360*x^5+231472080*x^4-1620304560*x^3+2083248720*x^2)*ln(2)^6+16*(-363741840*x^4+1636838280*x^3-4910514840*x)*ln(2)^4+4*(-2837186352*x^2+7092965880*x+4255779528)*ln(2)^2-7737780960)*ln(5)^4+(4096*(-1344*x^12+30240*x^11-290304*x^10+1542240*x^9-4898880*x^8+9307872*x^7-9797760*x^6+4408992*x^5)*ln(2)^12+1024*(-60480*x^10+1360800*x^9-12247200*x^8+57153600*x^7-146966400*x^6+198404640*x^5-110224800*x^4)*ln(2)^10+256*(11430720*x^7-137168640*x^6+617258880*x^5-1234517760*x^4+925888320*x^3)*ln(2)^8+64*(29393280*x^6-132269760*x^5-396809280*x^4+2777664960*x^3-3571283520*x^2)*ln(2)^6+16*(484989120*x^4-2182451040*x^3+6547353120*x)*ln(2)^4+4*(3095112384*x^2-7737780960*x-4642668576)*ln(2)^2+7142567040)*ln(5)^3+(16*(4032*x^4-18144*x^3+54432*x)*ln(2)^4+4*(471744*x^2-1179360*x-707616)*ln(2)^2+8491392)*ln(5)^11+(64*(-112*x^6+504*x^5+1512*x^4-10584*x^3+13608*x^2)*ln(2)^6+16*(-66528*x^4+299376*x^3-898128*x)*ln(2)^4+4*(-3891888*x^2+9729720*x+5837832)*ln(2)^2-46702656)*ln(5)^10+(64*(3360*x^6-15120*x^5-45360*x^4+317520*x^3-408240*x^2)*ln(2)^6+16*(665280*x^4-2993760*x^3+8981280*x)*ln(2)^4+4*(23351328*x^2-58378320*x-35026992)*ln(2)^2+200154240)*ln(5)^9+(256*(-840*x^7+10080*x^6-45360*x^5+90720*x^4-68040*x^3)*ln(2)^8+64*(-45360*x^6+204120*x^5+612360*x^4-4286520*x^3+5511240*x^2)*ln(2)^6+16*(-4490640*x^4+20207880*x^3-60623640*x)*ln(2)^4+4*(-105080976*x^2+262702440*x+157621464)*ln(2)^2-675520560)*ln(5)^8+(1024*(112*x^10-2520*x^9+22680*x^8-105840*x^7+272160*x^6-367416*x^5+204120*x^4)*ln(2)^10+256*(-211680*x^7+2540160*x^6-11430720*x^5+22861440*x^4-17146080*x^3)*ln(2)^8+64*(-1905120*x^6+8573040*x^5+25719120*x^4-180033840*x^3+231472080*x^2)*ln(2)^6+16*(-75442752*x^4+339492384*x^3-1018477152*x)*ln(2)^4+4*(-945728784*x^2+2364321960*x+1418593176)*ln(2)^2-3782915136)*ln(5)^6+(1024*(-2016*x^10+45360*x^9-408240*x^8+1905120*x^7-4898880*x^6+6613488*x^5-3674160*x^4)*ln(2)^10+256*(1270080*x^7-15240960*x^6+68584320*x^5-137168640*x^4+102876480*x^3)*ln(2)^8+64*(6858432*x^6-30862944*x^5-92588832*x^4+648121824*x^3-833299488*x^2)*ln(2)^6+16*(193995648*x^4-872980416*x^3+2618941248*x)*ln(2)^4+4*(1891457568*x^2-4728643920*x-2837186352)*ln(2)^2+6190224768)*ln(5)^5+(4*(-48*x^2+120*x+72)*ln(2)^2-8640)*ln(5)^14+(4*(2016*x^2-5040*x-3024)*ln(2)^2+120960)*ln(5)^13+(16*(-112*x^4+504*x^3-1512*x)*ln(2)^4+4*(-39312*x^2+98280*x+58968)*ln(2)^2-1179360)*ln(5)^12)/(x^9-27*x^8+324*x^7-2268*x^6+10206*x^5-30618*x^4+61236*x^3-78732*x^2+59049*x-19683)/ln(2)^16,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\text{Expression too large to display}$&$2134$\\ norman&$\text{Expression too large to display}$&$3196$\\ risch&$\text{Expression too large to display}$&$3559$\\ gosper&$\text{Expression too large to display}$&$4453$\\ \hline \end{longtable}"," ",0,"1/65536/ln(2)^16*(3584*ln(2)^6*(59049+405*ln(5)^8-3240*ln(5)^7+17010*ln(5)^6-61236*ln(5)^5-4723920*ln(2)^2*ln(5)-262440*ln(5)^3+153090*ln(5)^4+4723920*ln(2)^4-196830*ln(5)+295245*ln(5)^2+1771470*ln(2)^2+1259712*ln(5)^2*ln(2)^6+5511240*ln(2)^2*ln(5)^2+1889568*ln(2)^6+ln(5)^10-30*ln(5)^9+23328*ln(2)^6*ln(5)^4-279936*ln(2)^6*ln(5)^3+270*ln(5)^8*ln(2)^2+6480*ln(5)^6*ln(2)^4-6480*ln(5)^7*ln(2)^2-116640*ln(5)^5*ln(2)^4-3674160*ln(5)^3*ln(2)^2-9447840*ln(5)*ln(2)^4+1530900*ln(5)^4*ln(2)^2+7873200*ln(5)^2*ln(2)^4-408240*ln(5)^5*ln(2)^2-3499200*ln(5)^3*ln(2)^4-2519424*ln(5)*ln(2)^6+68040*ln(5)^6*ln(2)^2+874800*ln(5)^4*ln(2)^4)/(x-3)^2-1376256*ln(5)^3*ln(2)^12*x^4+393216*ln(5)^2*ln(2)^14*x^5-786432*ln(5)*ln(2)^14*x^6+114688*ln(5)^4*ln(2)^12*x^4-2359296*ln(5)*ln(2)^14*x^5+10616832*ln(2)^14*x^4+31850496*ln(2)^14*x^3+95551488*ln(2)^14*x^2+286654464*ln(2)^14*x+55738368*ln(2)^12*x^3+250822656*ln(2)^12*x^2+1003290624*ln(2)^12*x+41803776*ln(2)^10*x^2+376233984*ln(2)^10*x+32256*ln(2)^6*(59049+405*ln(5)^8-3240*ln(5)^7+17010*ln(5)^6-61236*ln(5)^5-1049760*ln(2)^2*ln(5)-262440*ln(5)^3+153090*ln(5)^4+314928*ln(2)^4-196830*ln(5)+295245*ln(5)^2+393660*ln(2)^2+1224720*ln(2)^2*ln(5)^2+ln(5)^10-30*ln(5)^9+60*ln(5)^8*ln(2)^2+432*ln(5)^6*ln(2)^4-1440*ln(5)^7*ln(2)^2-7776*ln(5)^5*ln(2)^4-816480*ln(5)^3*ln(2)^2-629856*ln(5)*ln(2)^4+340200*ln(5)^4*ln(2)^2+524880*ln(5)^2*ln(2)^4-90720*ln(5)^5*ln(2)^2-233280*ln(5)^3*ln(2)^4+15120*ln(5)^6*ln(2)^2+58320*ln(5)^4*ln(2)^4)/(x-3)^3+6193152*ln(5)^2*ln(2)^12*x^4+32*ln(2)^2*(4782969+2189187*ln(5)^8-7505784*ln(5)^7+19702683*ln(5)^6-39405366*ln(5)^5-267846264*ln(2)^2*ln(5)-64481508*ln(5)^3+59108049*ln(5)^4-22320522*ln(5)+48361131*ln(5)^2+66961566*ln(2)^2+491051484*ln(2)^2*ln(5)^2+81081*ln(5)^10-486486*ln(5)^9+126*ln(5)^12*ln(2)^2-4536*ln(5)^11*ln(2)^2+74844*ln(5)^10*ln(2)^2-748440*ln(5)^9*ln(2)^2+5051970*ln(5)^8*ln(2)^2-24249456*ln(5)^7*ln(2)^2-545612760*ln(5)^3*ln(2)^2+409209570*ln(5)^4*ln(2)^2-218245104*ln(5)^5*ln(2)^2+84873096*ln(5)^6*ln(2)^2+819*ln(5)^12+ln(5)^14-42*ln(5)^13-9828*ln(5)^11)/(x-3)^6+131072*ln(5)^2*ln(2)^14*x^6-65536*ln(2)^16*x+1179648*ln(2)^14*x^6+3538944*ln(2)^14*x^5+9289728*ln(2)^12*x^4+65536*ln(2)^16*x^8-12386304*ln(5)*ln(2)^12*x^4+6144*ln(2)^8*(35*ln(5)^8+2520*ln(5)^6*ln(2)^2+27216*ln(5)^4*ln(2)^4+46656*ln(5)^2*ln(2)^6-840*ln(5)^7-45360*ln(5)^5*ln(2)^2-326592*ln(5)^3*ln(2)^4-279936*ln(5)*ln(2)^6+8820*ln(5)^6+340200*ln(5)^4*ln(2)^2+1469664*ln(5)^2*ln(2)^4+419904*ln(2)^6-52920*ln(5)^5-1360800*ln(5)^3*ln(2)^2-2939328*ln(5)*ln(2)^4+198450*ln(5)^4+3061800*ln(2)^2*ln(5)^2+2204496*ln(2)^4-476280*ln(5)^3-3674160*ln(2)^2*ln(5)+714420*ln(5)^2+1837080*ln(2)^2-612360*ln(5)+229635)/(x-3)+1179648*ln(5)^2*ln(2)^14*x^4+688128*ln(5)^4*ln(2)^12*x^3+3538944*ln(5)^2*ln(2)^14*x^3-7077888*ln(5)*ln(2)^14*x^4+57344*ln(5)^6*ln(2)^10*x^2+3096576*ln(5)^4*ln(2)^12*x^2-8257536*ln(5)^3*ln(2)^12*x^3+10616832*ln(5)^2*ln(2)^14*x^2-21233664*ln(5)*ln(2)^14*x^3+516096*ln(5)^6*ln(2)^10*x-1032192*ln(5)^5*ln(2)^10*x^2+12386304*ln(5)^4*ln(2)^12*x-37158912*ln(5)^3*ln(2)^12*x^2+31850496*ln(5)^2*ln(2)^14*x+37158912*ln(5)^2*ln(2)^12*x^3-63700992*ln(5)*ln(2)^14*x^2-9289728*ln(5)^5*ln(2)^10*x+7741440*ln(5)^4*ln(2)^10*x^2-148635648*ln(5)^3*ln(2)^12*x+167215104*ln(5)^2*ln(2)^12*x^2-191102976*ln(5)*ln(2)^14*x-74317824*ln(5)*ln(2)^12*x^3+69672960*ln(5)^4*ln(2)^10*x-30965760*ln(5)^3*ln(2)^10*x^2+668860416*ln(5)^2*ln(2)^12*x-334430208*ln(5)*ln(2)^12*x^2-278691840*ln(5)^3*ln(2)^10*x+69672960*ln(5)^2*ln(2)^10*x^2-1337720832*ln(5)*ln(2)^12*x+627056640*ln(5)^2*ln(2)^10*x-83607552*ln(5)*ln(2)^10*x^2-752467968*ln(5)*ln(2)^10*x+448*ln(2)^4*(531441+40095*ln(5)^8-192456*ln(5)^7+673596*ln(5)^6-1732104*ln(5)^5-42515280*ln(2)^2*ln(5)-4330260*ln(5)^3+3247695*ln(5)^4+21257640*ln(2)^4-2125764*ln(5)+3897234*ln(5)^2+12754584*ln(2)^2+63772920*ln(2)^2*ln(5)^2+594*ln(5)^10-5940*ln(5)^9+216*ln(5)^10*ln(2)^2+3240*ln(5)^8*ln(2)^4-6480*ln(5)^9*ln(2)^2-77760*ln(5)^7*ln(2)^4+87480*ln(5)^8*ln(2)^2+816480*ln(5)^6*ln(2)^4-699840*ln(5)^7*ln(2)^2-4898880*ln(5)^5*ln(2)^4-56687040*ln(5)^3*ln(2)^2-56687040*ln(5)*ln(2)^4+33067440*ln(5)^4*ln(2)^2+66134880*ln(5)^2*ln(2)^4-13226976*ln(5)^5*ln(2)^2-44089920*ln(5)^3*ln(2)^4+3674160*ln(5)^6*ln(2)^2+18370800*ln(5)^4*ln(2)^4+ln(5)^12-36*ln(5)^11)/(x-3)^4+96*ln(2)^2*(ln(5)^14-42*ln(5)^13+819*ln(5)^12-9828*ln(5)^11+81081*ln(5)^10-486486*ln(5)^9+2189187*ln(5)^8-7505784*ln(5)^7+19702683*ln(5)^6-39405366*ln(5)^5+59108049*ln(5)^4-64481508*ln(5)^3+48361131*ln(5)^2-22320522*ln(5)+4782969)/(x-3)^7+2688*ln(2)^4*(ln(5)^12+36*ln(5)^10*ln(2)^2-36*ln(5)^11-1080*ln(5)^9*ln(2)^2+594*ln(5)^10+14580*ln(5)^8*ln(2)^2-5940*ln(5)^9-116640*ln(5)^7*ln(2)^2+40095*ln(5)^8+612360*ln(5)^6*ln(2)^2-192456*ln(5)^7-2204496*ln(5)^5*ln(2)^2+673596*ln(5)^6+5511240*ln(5)^4*ln(2)^2-1732104*ln(5)^5-9447840*ln(5)^3*ln(2)^2+3247695*ln(5)^4+10628820*ln(2)^2*ln(5)^2-4330260*ln(5)^3-7085880*ln(2)^2*ln(5)+3897234*ln(5)^2+2125764*ln(2)^2-2125764*ln(5)+531441)/(x-3)^5-(-43046721-84440070*ln(5)^8+225173520*ln(5)^7-472864392*ln(5)^6+773778096*ln(5)^5+892820880*ln(5)^3-967222620*ln(5)^4+229582512*ln(5)-573956280*ln(5)^2-ln(5)^16+48*ln(5)^15-5837832*ln(5)^10+25019280*ln(5)^9-147420*ln(5)^12-1080*ln(5)^14+15120*ln(5)^13+1061424*ln(5)^11)/(x-3)^8)","B"
5419,1,18,22,0.219000," ","int(((5*x^2+10*x)*exp(5)+5*x^2+16*x+2)/(x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x \,{\mathrm e}^{5}+5 x +5 \ln \left(2+x \right)+\ln \left(x \right)$&$18$\\ norman&$\left(5 \,{\mathrm e}^{5}+5\right) x +5 \ln \left(2+x \right)+\ln \left(x \right)$&$18$\\ risch&$5 x \,{\mathrm e}^{5}+5 x +5 \ln \left(2+x \right)+\ln \left(x \right)$&$18$\\ meijerg&$-\ln \left(1+\frac{x}{2}\right)+\ln \left(x \right)-\ln \left(2\right)+2 \left(5 \,{\mathrm e}^{5}+5\right) \left(\frac{x}{2}-\ln \left(1+\frac{x}{2}\right)\right)+2 \left(5 \,{\mathrm e}^{5}+8\right) \ln \left(1+\frac{x}{2}\right)$&$50$\\ \hline \end{longtable}"," ",0,"5*x*exp(5)+5*x+5*ln(2+x)+ln(x)","A"
5420,1,26,23,0.156000," ","int(1/3*(-3*ln(5)*exp(exp(exp(1/3*x*exp(16)))+x-5)-2*exp(16)*exp(1/3*x*exp(16))*exp(exp(1/3*x*exp(16)))-6)/ln(5)/exp(exp(exp(1/3*x*exp(16)))+x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{\frac{x \,{\mathrm e}^{16}}{3}}}-x +5}}{\ln \left(5\right)}-x$&$26$\\ norman&$\left(\frac{2}{\ln \left(5\right)}-x \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{\frac{x \,{\mathrm e}^{16}}{3}}}+x -5}\right) {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{\frac{x \,{\mathrm e}^{16}}{3}}}-x +5}$&$36$\\ \hline \end{longtable}"," ",0,"2/ln(5)*exp(-exp(exp(1/3*x*exp(16)))-x+5)-x","A"
5421,1,41,25,0.178000," ","int(((((x-3)*exp(5)+3)*exp(-x)+6*exp(5)-3)*exp(x)^2+((-12*x+36)*exp(5)-36)*exp(x))/((exp(5)*exp(-x)^2+(2*x+4)*exp(5)*exp(-x)+(x^2+4*x+4)*exp(5))*exp(x)^2+(-24*exp(5)*exp(-x)+(-24*x-48)*exp(5))*exp(x)+144*exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(11 \,{\mathrm e}^{3 x}-3 \left(2 \,{\mathrm e}^{5}-1\right) {\mathrm e}^{-5} {\mathrm e}^{4 x}\right) {\mathrm e}^{-3 x}}{{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}-11}$&$41$\\ risch&$-\frac{6 \,{\mathrm e}^{-5} {\mathrm e}^{5}}{2+x}+\frac{3 \,{\mathrm e}^{-5}}{2+x}+\frac{11 \left(x \,{\mathrm e}^{5}-4 \,{\mathrm e}^{5}+3\right) {\mathrm e}^{-5}}{\left(2+x \right) \left({\mathrm e}^{x} x +2 \,{\mathrm e}^{x}-11\right)}$&$53$\\ \hline \end{longtable}"," ",0,"(11*exp(x)^3-3*(2*exp(5)-1)/exp(5)*exp(x)^4)/exp(x)^3/(exp(x)*x+2*exp(x)-11)","A"
5422,1,14,9,0.032000," ","int((25*x^4+100*x^3)*exp(x)+300*x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$25 \,{\mathrm e}^{x} x^{4}+75 x^{4}$&$14$\\ norman&$25 \,{\mathrm e}^{x} x^{4}+75 x^{4}$&$14$\\ risch&$25 \,{\mathrm e}^{x} x^{4}+75 x^{4}$&$14$\\ \hline \end{longtable}"," ",0,"25*exp(x)*x^4+75*x^4","A"
5423,1,23,25,0.055000," ","int((-16*x^3*ln(x)^4-16*x^3*ln(x)^3)*ln(3*ln(2)/exp(2))^2-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 \left(\ln \left(3\right)+\ln \left(\ln \left(2\right)\right)-2\right)^{2} x^{4} \ln \left(x \right)^{4}-x$&$23$\\ default&$-x -4 \ln \left(x \right)^{4} x^{4} \ln \left(3 \ln \left(2\right) {\mathrm e}^{-2}\right)^{2}$&$25$\\ norman&$\left(-4 \ln \left(3\right)^{2}-8 \ln \left(3\right) \ln \left(\ln \left(2\right)\right)-4 \ln \left(\ln \left(2\right)\right)^{2}+16 \ln \left(3\right)+16 \ln \left(\ln \left(2\right)\right)-16\right) x^{4} \ln \left(x \right)^{4}-x$&$44$\\ \hline \end{longtable}"," ",0,"-4*(ln(3)+ln(ln(2))-2)^2*x^4*ln(x)^4-x","A"
5424,1,18,15,0.055000," ","int(2*ln(2*x*ln(2))^2+4*ln(2*x*ln(2))-4*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x^{2}+2 \ln \left(2 x \ln \left(2\right)\right)^{2} x$&$18$\\ norman&$-2 x^{2}+2 \ln \left(2 x \ln \left(2\right)\right)^{2} x$&$18$\\ risch&$-2 x^{2}+2 \ln \left(2 x \ln \left(2\right)\right)^{2} x$&$18$\\ derivativedivides&$\frac{2 \ln \left(2 x \ln \left(2\right)\right)^{2} x \ln \left(2\right)-2 x^{2} \ln \left(2\right)}{\ln \left(2\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-2*x^2+2*ln(2*x*ln(2))^2*x","A"
5425,1,29,38,0.237000," ","int((((4*x^3+3*x)*ln(5)-4*x^6)*exp(x^2)^2+(-2*exp(1)-2-3*x)*ln(5)-x^3*exp(1)-x^3)/(x^5*exp(x^2)^4+(-2*x^4*exp(1)-2*x^5-2*x^4)*exp(x^2)^2+x^3*exp(1)^2+(2*x^4+2*x^3)*exp(1)+x^5+2*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{-x^{3}+\ln \left(5\right)}{x^{2} \left(-x \,{\mathrm e}^{2 x^{2}}+{\mathrm e}+x +1\right)}$&$29$\\ \hline \end{longtable}"," ",0,"(-x^3+ln(5))/x^2/(-x*exp(2*x^2)+exp(1)+x+1)","A"
5426,1,92,33,0.241000," ","int((((-5*exp(3)+5*x)*ln(-x+exp(3))+(5*exp(3)-5*x)*exp(x^2)-20*exp(3)+20*x)*ln(5/(ln(-x+exp(3))+4-exp(x^2)))+((2*x^3-10*x^2)*exp(3)-2*x^4+10*x^3)*exp(x^2)+x^2-5*x)/((x^2*exp(3)-x^3)*ln(-x+exp(3))+(-x^2*exp(3)+x^3)*exp(x^2)+4*x^2*exp(3)-4*x^3)/ln(5/(ln(-x+exp(3))+4-exp(x^2)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i \left(x -5\right)}{x \left(-2 \pi  \mathrm{csgn}\left(\frac{i}{-\ln \left(-x +{\mathrm e}^{3}\right)-4+{\mathrm e}^{x^{2}}}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i}{-\ln \left(-x +{\mathrm e}^{3}\right)-4+{\mathrm e}^{x^{2}}}\right)^{3}+2 \pi -2 i \ln \left(5\right)+2 i \ln \left(-\ln \left(-x +{\mathrm e}^{3}\right)-4+{\mathrm e}^{x^{2}}\right)\right)}$&$92$\\ \hline \end{longtable}"," ",0,"2*I*(x-5)/x/(-2*Pi*csgn(I/(-ln(-x+exp(3))-4+exp(x^2)))^2+2*Pi*csgn(I/(-ln(-x+exp(3))-4+exp(x^2)))^3+2*Pi-2*I*ln(5)+2*I*ln(-ln(-x+exp(3))-4+exp(x^2)))","C"
5427,1,37,26,0.074000," ","int(((-x^2+4*x-2)*exp(x)-6*x^2-6*x+6)*ln(2*ln(2))/(4*x^4-16*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(2 \ln \left(2\right)\right) \left(\frac{15}{2 \left(x -2\right)}-\frac{3}{2 x}+\frac{{\mathrm e}^{x}}{2 x}-\frac{{\mathrm e}^{x}}{2 \left(x -2\right)}\right)}{4}$&$37$\\ risch&$\frac{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) \left(\frac{3 x}{2}+\frac{3}{4}\right)}{\left(x -2\right) x}-\frac{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) {\mathrm e}^{x}}{4 \left(x -2\right) x}$&$40$\\ norman&$\frac{\left(-\frac{\ln \left(2\right)}{4}-\frac{\ln \left(\ln \left(2\right)\right)}{4}\right) {\mathrm e}^{x}+\left(\frac{3 \ln \left(2\right)}{2}+\frac{3 \ln \left(\ln \left(2\right)\right)}{2}\right) x +\frac{3 \ln \left(\ln \left(2\right)\right)}{4}+\frac{3 \ln \left(2\right)}{4}}{\left(x -2\right) x}$&$45$\\ \hline \end{longtable}"," ",0,"1/4*ln(2*ln(2))*(15/2/(x-2)-3/2/x+1/2*exp(x)/x-1/2*exp(x)/(x-2))","A"
5428,1,27,26,0.140000," ","int(1/2*(((4*x^2+1)*exp(x^2)*ln(x)+2*exp(x^2))*exp(1/4*ln(x)-2)^2+(4*x^2-2*x)*ln(x)+2*x^2-2*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2} \ln \left(x \right)-x \ln \left(x \right)+\sqrt{x}\, {\mathrm e}^{\left(x -2\right) \left(2+x \right)} \ln \left(x \right)$&$27$\\ \hline \end{longtable}"," ",0,"x^2*ln(x)-x*ln(x)+x^(1/2)*exp((x-2)*(2+x))*ln(x)","A"
5429,1,23,24,0.299000," ","int(((-80*x^2-320*x-80)*ln((5*x^2+20*x+5)/x)-76*x^2+16*x+84)/(x^2+4*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 x -80 x \ln \left(\frac{5 x^{2}+20 x +5}{x}\right)$&$23$\\ risch&$4 x -80 x \ln \left(\frac{5 x^{2}+20 x +5}{x}\right)$&$23$\\ default&$4 x -80 x \ln \left(5\right)-80 x \ln \left(\frac{x^{2}+4 x +1}{x}\right)$&$26$\\ \hline \end{longtable}"," ",0,"4*x-80*x*ln((5*x^2+20*x+5)/x)","A"
5430,1,40,15,0.054000," ","int(((-2*x^2-18*x-36)*ln(2)^2*ln(x)^2+((2*x^2+12*x+18)*ln(2)^2-6*x^3*ln(2))*ln(x)+(2*x^4+6*x^3)*ln(2)+2*x^6)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(2\right)^{2} \left(x^{2}+6 x +9\right) \ln \left(x \right)^{2}}{x^{4}}+\frac{6 \ln \left(2\right) \ln \left(x \right)}{x}+x^{2}+2 \ln \left(2\right) \ln \left(x \right)$&$40$\\ norman&$\frac{x^{6}+2 \ln \left(2\right) x^{4} \ln \left(x \right)+\ln \left(2\right)^{2} \ln \left(x \right)^{2} x^{2}+9 \ln \left(2\right)^{2} \ln \left(x \right)^{2}+6 x \ln \left(2\right)^{2} \ln \left(x \right)^{2}+6 \ln \left(x \right) \ln \left(2\right) x^{3}}{x^{4}}$&$60$\\ default&$-2 \ln \left(2\right)^{2} \left(-\frac{\ln \left(x \right)^{2}}{2 x^{2}}-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)+x^{2}-18 \ln \left(2\right)^{2} \left(-\frac{\ln \left(x \right)^{2}}{3 x^{3}}-\frac{2 \ln \left(x \right)}{9 x^{3}}-\frac{2}{27 x^{3}}\right)+2 \ln \left(2\right)^{2} \left(-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)-6 \ln \left(2\right) \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)+2 \ln \left(2\right) \ln \left(x \right)-36 \ln \left(2\right)^{2} \left(-\frac{\ln \left(x \right)^{2}}{4 x^{4}}-\frac{\ln \left(x \right)}{8 x^{4}}-\frac{1}{32 x^{4}}\right)+12 \ln \left(2\right)^{2} \left(-\frac{\ln \left(x \right)}{3 x^{3}}-\frac{1}{9 x^{3}}\right)-\frac{6 \ln \left(2\right)}{x}+18 \ln \left(2\right)^{2} \left(-\frac{\ln \left(x \right)}{4 x^{4}}-\frac{1}{16 x^{4}}\right)$&$176$\\ \hline \end{longtable}"," ",0,"ln(2)^2*(x^2+6*x+9)/x^4*ln(x)^2+6*ln(2)/x*ln(x)+x^2+2*ln(2)*ln(x)","B"
5431,1,9,19,0.214000," ","int((1+5*x)/(5*x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\ln \left(5 x -4\right)$&$9$\\ norman&$x +\ln \left(5 x -4\right)$&$9$\\ meijerg&$\ln \left(1-\frac{5 x}{4}\right)+x$&$9$\\ risch&$x +\ln \left(5 x -4\right)$&$9$\\ \hline \end{longtable}"," ",0,"x+ln(5*x-4)","A"
5432,1,17,18,0.302000," ","int(-6075*exp(225/(3*exp(1)+3*x-19))/(9*exp(1)^2+(18*x-114)*exp(1)+9*x^2-114*x+361),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$9 \,{\mathrm e}^{\frac{225}{3 \,{\mathrm e}+3 x -19}}$&$17$\\ derivativedivides&$9 \,{\mathrm e}^{\frac{225}{3 \,{\mathrm e}+3 x -19}}$&$17$\\ default&$9 \,{\mathrm e}^{\frac{225}{3 \,{\mathrm e}+3 x -19}}$&$17$\\ risch&$9 \,{\mathrm e}^{\frac{225}{3 \,{\mathrm e}+3 x -19}}$&$17$\\ norman&$\frac{\left(-171+27 \,{\mathrm e}\right) {\mathrm e}^{\frac{225}{3 \,{\mathrm e}+3 x -19}}+27 x \,{\mathrm e}^{\frac{225}{3 \,{\mathrm e}+3 x -19}}}{3 \,{\mathrm e}+3 x -19}$&$52$\\ \hline \end{longtable}"," ",0,"9*exp(225/(3*exp(1)+3*x-19))","A"
5433,1,30,23,0.416000," ","int((((-16*x-48)*exp(1)+5*x+15)*exp(3/x)+3*x^3)/((80*x^2*exp(1)-25*x^2)*exp(3/x)+15*x^4-60*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right)}{5}+\frac{\ln \left({\mathrm e}^{\frac{3}{x}}+\frac{3 \left(x -4\right) x}{16 \,{\mathrm e}-5}\right)}{5}$&$30$\\ norman&$-\frac{\ln \left(x \right)}{5}+\frac{\ln \left(16 \,{\mathrm e} \,{\mathrm e}^{\frac{3}{x}}+3 x^{2}-5 \,{\mathrm e}^{\frac{3}{x}}-12 x \right)}{5}$&$36$\\ \hline \end{longtable}"," ",0,"-1/5*ln(x)+1/5*ln(exp(3/x)+3*(x-4)*x/(16*exp(1)-5))","A"
5434,1,14,16,0.027000," ","int(1/3*(-6*x^2-2*x-3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}-\frac{2 x}{3}-\ln \left(x \right)$&$14$\\ norman&$-x^{2}-\frac{2 x}{3}-\ln \left(x \right)$&$14$\\ risch&$-x^{2}-\frac{2 x}{3}-\ln \left(x \right)$&$14$\\ \hline \end{longtable}"," ",0,"-x^2-2/3*x-ln(x)","A"
5435,1,17,17,0.201000," ","int((-6*x-9)*exp(5)/(5*x^2+15*x)/ln(1/2*x^2+3/2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 \,{\mathrm e}^{5}}{5 \ln \left(\frac{1}{2} x^{2}+\frac{3}{2} x \right)}$&$17$\\ risch&$\frac{3 \,{\mathrm e}^{5}}{5 \ln \left(\frac{1}{2} x^{2}+\frac{3}{2} x \right)}$&$17$\\ \hline \end{longtable}"," ",0,"3/5*exp(5)/ln(1/2*x^2+3/2*x)","A"
5436,1,9,15,0.032000," ","int((5*x+5)*exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{5 \,{\mathrm e}^{5} x \left(2+x \right)}{2}$&$9$\\ default&${\mathrm e}^{5} \left(\frac{5}{2} x^{2}+5 x \right)$&$13$\\ norman&$5 x \,{\mathrm e}^{5}+\frac{5 x^{2} {\mathrm e}^{5}}{2}$&$14$\\ risch&$5 x \,{\mathrm e}^{5}+\frac{5 x^{2} {\mathrm e}^{5}}{2}$&$14$\\ \hline \end{longtable}"," ",0,"5/2*exp(5)*x*(2+x)","A"
5437,1,34,31,0.086000," ","int(1/3*((-2*x^2+3*x+10)*ln(ln(3))+5*exp(x)*x^3+8*x^3-20*x^2-20*x)/exp(x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x}{3}+\frac{\left(2 \ln \left(\ln \left(3\right)\right) x -8 x^{2}-5 \ln \left(\ln \left(3\right)\right)+20 x \right) {\mathrm e}^{-x}}{3 x^{2}}$&$34$\\ norman&$\frac{\left(\left(\frac{2 \ln \left(\ln \left(3\right)\right)}{3}+\frac{20}{3}\right) x -\frac{8 x^{2}}{3}+\frac{5 \,{\mathrm e}^{x} x^{3}}{3}-\frac{5 \ln \left(\ln \left(3\right)\right)}{3}\right) {\mathrm e}^{-x}}{x^{2}}$&$36$\\ default&$\frac{5 x}{3}-\frac{8 \,{\mathrm e}^{-x}}{3}+\frac{20 \,{\mathrm e}^{-x}}{3 x}-\frac{5 \,{\mathrm e}^{-x} \ln \left(\ln \left(3\right)\right)}{3 x^{2}}+\frac{2 \,{\mathrm e}^{-x} \ln \left(\ln \left(3\right)\right)}{3 x}$&$44$\\ \hline \end{longtable}"," ",0,"5/3*x+1/3*(2*ln(ln(3))*x-8*x^2-5*ln(ln(3))+20*x)/x^2*exp(-x)","A"
5438,1,8,7,0.022000," ","int(-2/15*ln(20)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\ln \left(20\right)}{15 x^{2}}$&$8$\\ default&$\frac{\ln \left(20\right)}{15 x^{2}}$&$8$\\ norman&$\frac{\ln \left(20\right)}{15 x^{2}}$&$8$\\ risch&$\frac{2 \ln \left(2\right)}{15 x^{2}}+\frac{\ln \left(5\right)}{15 x^{2}}$&$16$\\ \hline \end{longtable}"," ",0,"1/15*ln(20)/x^2","A"
5439,0,0,24,0.163000," ","int(((((-9*x^2+9*x)*exp(x)-18*x+9)*ln(x^2)+18*x-18)*exp(exp(x)-5)+(54*x^2-144*x+54)*ln(x^2)-36*x^2+144*x-108)/ln(x^2)^2,x)","\[\int \frac{\left(\left(\left(-9 x^{2}+9 x \right) {\mathrm e}^{x}-18 x +9\right) \ln \left(x^{2}\right)+18 x -18\right) {\mathrm e}^{{\mathrm e}^{x}-5}+\left(54 x^{2}-144 x +54\right) \ln \left(x^{2}\right)-36 x^{2}+144 x -108}{\ln \left(x^{2}\right)^{2}}\, dx\]"," ",0,"int(((((-9*x^2+9*x)*exp(x)-18*x+9)*ln(x^2)+18*x-18)*exp(exp(x)-5)+(54*x^2-144*x+54)*ln(x^2)-36*x^2+144*x-108)/ln(x^2)^2,x)","F"
5440,1,33,31,0.051000," ","int(((30*x^5+30*x^2)*ln(1-x)^2+(60*x^7+65*x^4-4*x^3+4*x-2)*ln(1-x)+30*x^9+33*x^6-2*x^5-x^4+2*x^2-2*x)/(5*ln(1-x)^2+10*x^2*ln(1-x)+5*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{6}+2 x^{3}+\frac{\left(x^{3}+2\right) x \left(x -1\right)}{5 x^{2}+5 \ln \left(1-x \right)}$&$33$\\ \hline \end{longtable}"," ",0,"x^6+2*x^3+1/5*(x^3+2)*x*(x-1)/(x^2+ln(1-x))","A"
5441,1,18,20,0.013000," ","int(-1/2*exp(x)^2+1/4*(x-1)*exp(x)-1/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{2 x}}{4}+\frac{{\mathrm e}^{x} \left(x -2\right)}{4}-\frac{x}{2}$&$18$\\ default&$-\frac{x}{2}-\frac{{\mathrm e}^{2 x}}{4}+\frac{{\mathrm e}^{x} x}{4}-\frac{{\mathrm e}^{x}}{2}$&$20$\\ norman&$-\frac{x}{2}-\frac{{\mathrm e}^{2 x}}{4}+\frac{{\mathrm e}^{x} x}{4}-\frac{{\mathrm e}^{x}}{2}$&$20$\\ \hline \end{longtable}"," ",0,"-1/4*exp(2*x)+1/4*exp(x)*(x-2)-1/2*x","A"
5442,1,21,20,0.043000," ","int((2*(96*x^4-16*x^2-2)*ln(2)+768*x^4-128*x^2-16)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \left(8+2 \ln \left(2\right)\right) \left(16 x^{3}-8 x +\frac{1}{x}\right)$&$21$\\ norman&$\frac{\left(-32 \ln \left(2\right)-128\right) x^{2}+\left(64 \ln \left(2\right)+256\right) x^{4}+4 \ln \left(2\right)+16}{x}$&$31$\\ gosper&$\frac{4 \left(2 x \ln \left(2\right)+\ln \left(2\right)+8 x +4\right) \left(8 x^{3}-4 x^{2}-2 x +1\right)}{x}$&$33$\\ risch&$64 x^{3} \ln \left(2\right)+256 x^{3}-32 x \ln \left(2\right)-128 x +\frac{4 \ln \left(2\right)}{x}+\frac{16}{x}$&$34$\\ \hline \end{longtable}"," ",0,"2*(8+2*ln(2))*(16*x^3-8*x+1/x)","A"
5443,1,8,8,0.012000," ","int(exp(x)*exp(exp(x))+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+{\mathrm e}^{{\mathrm e}^{x}}$&$8$\\ norman&$x^{2}+{\mathrm e}^{{\mathrm e}^{x}}$&$8$\\ risch&$x^{2}+{\mathrm e}^{{\mathrm e}^{x}}$&$8$\\ \hline \end{longtable}"," ",0,"x^2+exp(exp(x))","A"
5444,1,56,28,0.037000," ","int((((20*x^2-25*x+1)*ln(x)+40*x^2-50*x+2)*ln(ln(x)+2)+(3*x^3+4*x^2+x)*ln(x)^2+(50*x^5-20*x^4-113*x^3-40*x^2+3*x+1)*ln(x)+100*x^5-40*x^4-238*x^3-86*x^2-23*x)/(x*ln(x)+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(10 x^{2}-25 x +\ln \left(x \right)\right) \ln \left(\ln \left(x \right)+2\right)+10 x^{5}-5 x^{4}+x^{3} \ln \left(x \right)-40 x^{3}+2 x^{2} \ln \left(x \right)-25 x^{2}+x \ln \left(x \right)$&$56$\\ \hline \end{longtable}"," ",0,"(10*x^2-25*x+ln(x))*ln(ln(x)+2)+10*x^5-5*x^4+x^3*ln(x)-40*x^3+2*x^2*ln(x)-25*x^2+x*ln(x)","A"
5445,1,14,13,0.025000," ","int((x^7*exp(x^4)+x^4-6)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{2}{x^{3}}+x +\frac{{\mathrm e}^{x^{4}}}{4}$&$14$\\ risch&$\frac{2}{x^{3}}+x +\frac{{\mathrm e}^{x^{4}}}{4}$&$14$\\ norman&$\frac{2+x^{4}+\frac{x^{3} {\mathrm e}^{x^{4}}}{4}}{x^{3}}$&$19$\\ \hline \end{longtable}"," ",0,"2/x^3+x+1/4*exp(x^4)","A"
5446,1,55,24,0.089000," ","int((2*x*ln(ln(2))^2+(-2*exp(1)-4*x-2)*ln(ln(2))-exp(x+25)+2*exp(1)+2*x+2)/(x^2*ln(ln(2))^2+(-2*x*exp(1)-2*x^2-2*x)*ln(ln(2))-exp(x+25)+exp(1)^2+(2*x+2)*exp(1)+x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(x^{2} \ln \left(\ln \left(2\right)\right)^{2}+\left(-2 x \,{\mathrm e}-2 x^{2}-2 x \right) \ln \left(\ln \left(2\right)\right)-{\mathrm e}^{x +25}+{\mathrm e}^{2}+\left(2 x +2\right) {\mathrm e}+x^{2}+2 x +1\right)$&$55$\\ default&$\ln \left(x^{2} \ln \left(\ln \left(2\right)\right)^{2}+\left(-2 x \,{\mathrm e}-2 x^{2}-2 x \right) \ln \left(\ln \left(2\right)\right)-{\mathrm e}^{x +25}+{\mathrm e}^{2}+\left(2 x +2\right) {\mathrm e}+x^{2}+2 x +1\right)$&$55$\\ norman&$\ln \left(x^{2} \ln \left(\ln \left(2\right)\right)^{2}-2 \,{\mathrm e} \ln \left(\ln \left(2\right)\right) x -2 x^{2} \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{2}+2 x \,{\mathrm e}-2 x \ln \left(\ln \left(2\right)\right)+x^{2}+2 \,{\mathrm e}-{\mathrm e}^{x +25}+2 x +1\right)$&$60$\\ risch&$-25+\ln \left(-x^{2} \ln \left(\ln \left(2\right)\right)^{2}+2 \,{\mathrm e} \ln \left(\ln \left(2\right)\right) x +2 x^{2} \ln \left(\ln \left(2\right)\right)-{\mathrm e}^{2}-2 x \,{\mathrm e}+2 x \ln \left(\ln \left(2\right)\right)-x^{2}-2 \,{\mathrm e}-2 x +{\mathrm e}^{x +25}-1\right)$&$63$\\ \hline \end{longtable}"," ",0,"ln(x^2*ln(ln(2))^2+(-2*x*exp(1)-2*x^2-2*x)*ln(ln(2))-exp(x+25)+exp(1)^2+(2*x+2)*exp(1)+x^2+2*x+1)","B"
5447,1,23,22,0.049000," ","int((-30*x*ln(x)-30*x^3+40*x^2+20)/((4*x*ln(x)+4*x^3)*ln(ln(x)+x^2)^2+((160*x*ln(2)-12*x^2-16*x)*ln(x)+160*x^3*ln(2)-12*x^4-16*x^3)*ln(ln(x)+x^2)+(1600*x*ln(2)^2+2*(-120*x^2-160*x)*ln(2)+9*x^3+24*x^2+16*x)*ln(x)+1600*x^3*ln(2)^2+2*(-120*x^4-160*x^3)*ln(2)+9*x^5+24*x^4+16*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{10}{2 \ln \left(\ln \left(x \right)+x^{2}\right)+40 \ln \left(2\right)-3 x -4}$&$23$\\ \hline \end{longtable}"," ",0,"-10/(2*ln(ln(x)+x^2)+40*ln(2)-3*x-4)","A"
5448,1,13,18,0.190000," ","int(((30*x-1)*exp(-9*ln(3)+30*x)-2)*exp((exp(-9*ln(3)+30*x)+2)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{30 x}+39366}{19683 x}}$&$13$\\ norman&${\mathrm e}^{\frac{{\mathrm e}^{-9 \ln \left(3\right)+30 x}+2}{x}}$&$17$\\ \hline \end{longtable}"," ",0,"exp(1/19683*(exp(30*x)+39366)/x)","A"
5449,1,1028,19,0.273000," ","int((((-4*x+4)*exp(x)^5+(4*x*exp(4)-20*x^2+120*x-100)*exp(x)^4+((12*x^2-56*x)*exp(4)-40*x^3+440*x^2-1400*x+1000)*exp(x)^3+((12*x^3-108*x^2+240*x)*exp(4)-40*x^4+640*x^3-3600*x^2+8000*x-5000)*exp(x)^2+((4*x^4-48*x^3+180*x^2-200*x)*exp(4)-20*x^5+420*x^4-3400*x^3+13000*x^2-22500*x+12500)*exp(x)+(4*x^4-60*x^3+300*x^2-500*x)*exp(4)-4*x^6+104*x^5-1100*x^4+6000*x^3-17500*x^2+25000*x-12500)*ln(x)^3+((12*x^2-48*x+36)*exp(x)^5+((-12*x^2+48*x-12)*exp(4)+60*x^3-540*x^2+1380*x-900)*exp(x)^4+(-12*x*exp(4)^2+(-36*x^3+324*x^2-792*x+240)*exp(4)+120*x^4-1680*x^3+8160*x^2-15600*x+9000)*exp(x)^3+((-24*x^2+108*x)*exp(4)^2+(-36*x^4+504*x^3-2484*x^2+4680*x-1800)*exp(4)+120*x^5-2280*x^4+16560*x^3-56400*x^2+87000*x-45000)*exp(x)^2+((-12*x^3+96*x^2-180*x)*exp(4)^2+(-12*x^5+228*x^4-1740*x^3+6540*x^2-11400*x+6000)*exp(4)+60*x^6-1440*x^5+13980*x^4-69600*x^3+184500*x^2-240000*x+112500)*exp(x)+(-12*x^3+120*x^2-300*x)*exp(4)^2+(-36*x^4+600*x^3-3600*x^2+9000*x-7500)*exp(4)+12*x^7-348*x^6+4236*x^5-27900*x^4+106500*x^3-232500*x^2+262500*x-112500)*ln(x)^2+((-12*x^3+84*x^2-180*x+108)*exp(x)^5+((12*x^3-96*x^2+204*x-72)*exp(4)-60*x^4+720*x^3-3000*x^2+5040*x-2700)*exp(x)^4+((24*x^2-84*x+12)*exp(4)^2+(36*x^4-480*x^3+2196*x^2-3720*x+1440)*exp(4)-120*x^5+2040*x^4-13200*x^3+40080*x^2-55800*x+27000)*exp(x)^3+(12*x*exp(4)^3+(48*x^3-396*x^2+864*x-180)*exp(4)^2+(36*x^5-684*x^4+5004*x^3-17028*x^2+25200*x-10800)*exp(4)-120*x^6+2640*x^5-23400*x^4+106080*x^3-256200*x^2+306000*x-135000)*exp(x)^2+((12*x^2-48*x)*exp(4)^3+(24*x^4-300*x^3+1332*x^2-2340*x+900)*exp(4)^2+(12*x^6-312*x^5+3336*x^4-18384*x^3+53580*x^2-75000*x+36000)*exp(4)-60*x^7+1620*x^6-18300*x^5+111540*x^4-393300*x^3+793500*x^2-832500*x+337500)*exp(x)+(12*x^2-60*x)*exp(4)^3+(12*x^4-120*x^3+240*x^2+600*x-1500)*exp(4)^2+(-12*x^6+324*x^5-3504*x^4+19320*x^3-56700*x^2+82500*x-45000)*exp(4)-12*x^8+384*x^7-5280*x^6+40608*x^5-190200*x^4+552000*x^3-960000*x^2+900000*x-337500)*ln(x)+(4*x^4-40*x^3+144*x^2-216*x+108)*exp(x)^5+((-4*x^4+48*x^3-192*x^2+288*x-108)*exp(4)+20*x^5-300*x^4+1720*x^3-4680*x^2+5940*x-2700)*exp(x)^4+((-12*x^3+84*x^2-156*x+36)*exp(4)^2+(-12*x^5+212*x^4-1404*x^3+4236*x^2-5544*x+2160)*exp(4)+40*x^6-800*x^5+6440*x^4-26560*x^3+58680*x^2-64800*x+27000)*exp(x)^3+((-12*x^2+40*x-4)*exp(4)^3+(-24*x^4+288*x^3-1188*x^2+1800*x-540)*exp(4)^2+(-12*x^6+288*x^5-2760*x^4+13320*x^3-33444*x^2+39960*x-16200)*exp(4)+40*x^7-1000*x^6+10440*x^5-58760*x^4+191480*x^3-358200*x^2+351000*x-135000)*exp(x)^2+(-4*x*exp(4)^4+(-12*x^3+92*x^2-192*x+40)*exp(4)^3+(-12*x^5+204*x^4-1368*x^3+4392*x^2-6300*x+2700)*exp(4)^2+(-4*x^7+132*x^6-1776*x^5+12584*x^4-50388*x^3+112740*x^2-127800*x+54000)*exp(4)+20*x^8-600*x^7+7720*x^6-55480*x^5+242640*x^4-657800*x^3+1071000*x^2-945000*x+337500)*exp(x)-4*x*exp(4)^4+(-8*x^3+52*x^2-40*x-100)*exp(4)^3+(-36*x^4+528*x^3-2760*x^2+6000*x-4500)*exp(4)^2+(8*x^7-228*x^6+2712*x^5-17380*x^4+64440*x^3-137100*x^2+153000*x-67500)*exp(4)+4*x^9-140*x^8+2144*x^7-18816*x^6+104008*x^5-374200*x^4+872000*x^3-1260000*x^2+1012500*x-337500)/(x*exp(x)^5+(5*x^2-25*x)*exp(x)^4+(10*x^3-100*x^2+250*x)*exp(x)^3+(10*x^4-150*x^3+750*x^2-1250*x)*exp(x)^2+(5*x^5-100*x^4+750*x^3-2500*x^2+3125*x)*exp(x)+x^6-25*x^5+250*x^4-1250*x^3+3125*x^2-3125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{4}-\frac{4 \left(x^{2}+{\mathrm e}^{x} x +{\mathrm e}^{4}-8 x -3 \,{\mathrm e}^{x}+15\right) \ln \left(x \right)^{3}}{{\mathrm e}^{x}+x -5}+\frac{6 \left(x^{4}+2 \,{\mathrm e}^{x} x^{3}+{\mathrm e}^{2 x} x^{2}+2 x^{2} {\mathrm e}^{4}+2 x \,{\mathrm e}^{4+x}-16 x^{3}-22 \,{\mathrm e}^{x} x^{2}-6 x \,{\mathrm e}^{2 x}+{\mathrm e}^{8}-16 x \,{\mathrm e}^{4}-6 \,{\mathrm e}^{4+x}+94 x^{2}+78 \,{\mathrm e}^{x} x +9 \,{\mathrm e}^{2 x}+30 \,{\mathrm e}^{4}-240 x -90 \,{\mathrm e}^{x}+225\right) \ln \left(x \right)^{2}}{\left({\mathrm e}^{x}+x -5\right)^{2}}-\frac{4 \left(-3375 x +x^{3} {\mathrm e}^{3 x}-270 \,{\mathrm e}^{4+x}+6 x^{3} {\mathrm e}^{4+x}-24 x \,{\mathrm e}^{8}-66 x^{2} {\mathrm e}^{4+x}+3 x^{5} {\mathrm e}^{x}+45 \,{\mathrm e}^{8}-720 x \,{\mathrm e}^{4}+3 x^{2} {\mathrm e}^{8}+675 \,{\mathrm e}^{4}+237 x^{4}-1205 x^{3}+3150 x^{2}+x^{6}-24 x^{5}-9 x^{2} {\mathrm e}^{3 x}-42 \,{\mathrm e}^{2 x} x^{3}-48 x^{3} {\mathrm e}^{4}+216 \,{\mathrm e}^{2 x} x^{2}-405 x \,{\mathrm e}^{2 x}+27 x \,{\mathrm e}^{3 x}+282 x^{2} {\mathrm e}^{4}-57 \,{\mathrm e}^{x} x^{4}+2025 \,{\mathrm e}^{x} x -1485 \,{\mathrm e}^{x} x^{2}+426 \,{\mathrm e}^{x} x^{3}-9 \,{\mathrm e}^{x +8}+{\mathrm e}^{12}+27 \,{\mathrm e}^{2 x +4}+234 x \,{\mathrm e}^{4+x}+3 x^{4} {\mathrm e}^{4}+3 x \,{\mathrm e}^{x +8}+3 x^{2} {\mathrm e}^{2 x +4}-18 x \,{\mathrm e}^{2 x +4}+3 \,{\mathrm e}^{2 x} x^{4}\right) \ln \left(x \right)}{\left({\mathrm e}^{x}+x -5\right)^{3}}+\frac{432 x^{3} {\mathrm e}^{x} \ln \left(x \right)-67500 x +16200 x^{2} \ln \left(x \right)-6480 x^{2} {\mathrm e}^{x} \ln \left(x \right)+32400 x \,{\mathrm e}^{x} \ln \left(x \right)+456 x^{3} {\mathrm e}^{3 x}-8100 \,{\mathrm e}^{4+x}+1704 x^{3} {\mathrm e}^{4+x}+4 x^{7} {\mathrm e}^{x}-1440 x \,{\mathrm e}^{8}-6264 x^{2} {\mathrm e}^{4+x}+1236 x^{5} {\mathrm e}^{x}+1350 \,{\mathrm e}^{8}+{\mathrm e}^{16}-21600 x \,{\mathrm e}^{4}+564 x^{2} {\mathrm e}^{8}+13500 \,{\mathrm e}^{4}-32 x^{7}+x^{8}+67500 \ln \left(x \right)+16885 x^{4}-50700 x^{3}+87750 x^{2}+444 x^{6}-3488 x^{5}-2160 x^{3} \ln \left(x \right)+108 x \,{\mathrm e}^{4+3 x}-1512 x^{2} {\mathrm e}^{3 x}-5688 \,{\mathrm e}^{2 x} x^{3}-12 x^{3} {\mathrm e}^{4 x}-132 x^{5} {\mathrm e}^{2 x}-4928 x^{3} {\mathrm e}^{4}+14580 \,{\mathrm e}^{2 x} x^{2}-16200 x \,{\mathrm e}^{2 x}-108 x^{6} {\mathrm e}^{x}+2160 x \,{\mathrm e}^{3 x}+14220 x^{2} {\mathrm e}^{4}-54000 \,{\mathrm e}^{x} \ln \left(x \right)-7772 \,{\mathrm e}^{x} x^{4}+108 x^{4} \ln \left(x \right)+54000 \,{\mathrm e}^{x} x -54000 x \ln \left(x \right)-59400 \,{\mathrm e}^{x} x^{2}+28680 \,{\mathrm e}^{x} x^{3}+54 \,{\mathrm e}^{2 x +8}-108 \,{\mathrm e}^{4+3 x}-540 \,{\mathrm e}^{x +8}+60 \,{\mathrm e}^{12}-108 x \,{\mathrm e}^{4 x}+1620 \,{\mathrm e}^{2 x +4}+11340 x \,{\mathrm e}^{4+x}+948 x^{4} {\mathrm e}^{4}-96 x^{5} {\mathrm e}^{4}+4 x^{6} {\mathrm e}^{4}+54 x^{2} {\mathrm e}^{4 x}+4 x^{2} {\mathrm e}^{12}-36 x^{2} {\mathrm e}^{4+3 x}-36 x \,{\mathrm e}^{2 x +8}+6 \,{\mathrm e}^{2 x} x^{6}+4 \,{\mathrm e}^{3 x} x^{5}+{\mathrm e}^{4 x} x^{4}-68 \,{\mathrm e}^{3 x} x^{4}+6 \,{\mathrm e}^{8} x^{4}-96 x^{3} {\mathrm e}^{8}+468 x \,{\mathrm e}^{x +8}+108 \ln \left(x \right) {\mathrm e}^{4 x}-2160 \ln \left(x \right) {\mathrm e}^{3 x}+16200 \ln \left(x \right) {\mathrm e}^{2 x}-12 \,{\mathrm e}^{x +12}+864 x^{2} {\mathrm e}^{2 x +4}-1944 x \,{\mathrm e}^{2 x +4}-32 x \,{\mathrm e}^{12}+1194 \,{\mathrm e}^{2 x} x^{4}+12 x^{5} {\mathrm e}^{4+x}-168 x^{3} {\mathrm e}^{2 x +4}+12 x^{3} {\mathrm e}^{x +8}+4 x \,{\mathrm e}^{x +12}+12 x^{4} {\mathrm e}^{2 x +4}+6 x^{2} {\mathrm e}^{2 x +8}-132 x^{2} {\mathrm e}^{x +8}-228 x^{4} {\mathrm e}^{4+x}+4 x^{3} {\mathrm e}^{4+3 x}+432 \ln \left(x \right) {\mathrm e}^{3 x} x -6480 \ln \left(x \right) {\mathrm e}^{2 x} x +648 \ln \left(x \right) {\mathrm e}^{2 x} x^{2}}{\left({\mathrm e}^{x}+x -5\right)^{4}}$&$1028$\\ \hline \end{longtable}"," ",0,"ln(x)^4-4*(x^2+exp(x)*x+exp(4)-8*x-3*exp(x)+15)/(exp(x)+x-5)*ln(x)^3+6*(x^4+2*exp(x)*x^3+exp(2*x)*x^2+2*x^2*exp(4)+2*x*exp(4+x)-16*x^3-22*exp(x)*x^2-6*x*exp(2*x)+exp(8)-16*x*exp(4)-6*exp(4+x)+94*x^2+78*exp(x)*x+9*exp(2*x)+30*exp(4)-240*x-90*exp(x)+225)/(exp(x)+x-5)^2*ln(x)^2-4*(-3375*x+x^3*exp(3*x)-270*exp(4+x)+6*x^3*exp(4+x)-24*x*exp(8)-66*x^2*exp(4+x)+3*x^5*exp(x)+45*exp(8)-720*x*exp(4)+3*x^2*exp(8)+675*exp(4)+237*x^4-1205*x^3+3150*x^2+x^6-24*x^5-9*x^2*exp(3*x)-42*exp(2*x)*x^3-48*x^3*exp(4)+216*exp(2*x)*x^2-405*x*exp(2*x)+27*x*exp(3*x)+282*x^2*exp(4)-57*exp(x)*x^4+2025*exp(x)*x-1485*exp(x)*x^2+426*exp(x)*x^3-9*exp(x+8)+exp(12)+27*exp(2*x+4)+234*x*exp(4+x)+3*x^4*exp(4)+3*x*exp(x+8)+3*x^2*exp(2*x+4)-18*x*exp(2*x+4)+3*exp(2*x)*x^4)/(exp(x)+x-5)^3*ln(x)+(432*x^3*exp(x)*ln(x)-67500*x+16200*x^2*ln(x)-6480*x^2*exp(x)*ln(x)+32400*x*exp(x)*ln(x)+456*x^3*exp(3*x)-8100*exp(4+x)+1704*x^3*exp(4+x)+4*x^7*exp(x)-1440*x*exp(8)-6264*x^2*exp(4+x)+1236*x^5*exp(x)+1350*exp(8)+exp(16)-21600*x*exp(4)+564*x^2*exp(8)+13500*exp(4)-32*x^7+x^8+67500*ln(x)+16885*x^4-50700*x^3+87750*x^2+444*x^6-3488*x^5-2160*x^3*ln(x)+108*x*exp(4+3*x)-1512*x^2*exp(3*x)-5688*exp(2*x)*x^3-12*x^3*exp(4*x)-132*x^5*exp(2*x)-4928*x^3*exp(4)+14580*exp(2*x)*x^2-16200*x*exp(2*x)-108*x^6*exp(x)+2160*x*exp(3*x)+14220*x^2*exp(4)-54000*exp(x)*ln(x)-7772*exp(x)*x^4+108*x^4*ln(x)+54000*exp(x)*x-54000*x*ln(x)-59400*exp(x)*x^2+28680*exp(x)*x^3+54*exp(2*x+8)-108*exp(4+3*x)-540*exp(x+8)+60*exp(12)-108*x*exp(4*x)+1620*exp(2*x+4)+11340*x*exp(4+x)+948*x^4*exp(4)-96*x^5*exp(4)+4*x^6*exp(4)+54*x^2*exp(4*x)+4*x^2*exp(12)-36*x^2*exp(4+3*x)-36*x*exp(2*x+8)+6*exp(2*x)*x^6+4*exp(3*x)*x^5+exp(4*x)*x^4-68*exp(3*x)*x^4+6*exp(8)*x^4-96*x^3*exp(8)+468*x*exp(x+8)+108*ln(x)*exp(4*x)-2160*ln(x)*exp(3*x)+16200*ln(x)*exp(2*x)-12*exp(x+12)+864*x^2*exp(2*x+4)-1944*x*exp(2*x+4)-32*x*exp(12)+1194*exp(2*x)*x^4+12*x^5*exp(4+x)-168*x^3*exp(2*x+4)+12*x^3*exp(x+8)+4*x*exp(x+12)+12*x^4*exp(2*x+4)+6*x^2*exp(2*x+8)-132*x^2*exp(x+8)-228*x^4*exp(4+x)+4*x^3*exp(4+3*x)+432*ln(x)*exp(3*x)*x-6480*ln(x)*exp(2*x)*x+648*ln(x)*exp(2*x)*x^2)/(exp(x)+x-5)^4","B"
5450,1,23,22,14.843000," ","int((-4*exp(2)+8*x-20)/(5*x^2*exp(1)*exp(2)^2+(-10*x^3+50*x^2)*exp(1)*exp(2)+(5*x^4-50*x^3+125*x^2)*exp(1))/ln(6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \,{\mathrm e}^{-1}}{5 x \left({\mathrm e}^{2}+5-x \right) \ln \left(6\right)}$&$23$\\ norman&$\frac{4 \,{\mathrm e}^{-1}}{5 x \left({\mathrm e}^{2}+5-x \right) \ln \left(6\right)}$&$23$\\ risch&$\frac{4 \,{\mathrm e}^{-1}}{5 \left(\ln \left(2\right)+\ln \left(3\right)\right) x \left({\mathrm e}^{2}+5-x \right)}$&$24$\\ \hline \end{longtable}"," ",0,"4/5/x/(exp(2)+5-x)/exp(1)/ln(6)","A"
5451,1,20,20,0.125000," ","int(1/8*(16*exp(ln(x)+exp(x)*x)+(361*x^3+361*x^2)*exp(x)-361*x)*exp(1/16*(16*x*exp(ln(x)+exp(x)*x)-361*x^2)/exp(ln(x)+exp(x)*x))^2/exp(ln(x)+exp(x)*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \left(16 \,{\mathrm e}^{{\mathrm e}^{x} x}-361\right) {\mathrm e}^{-{\mathrm e}^{x} x}}{8}}$&$20$\\ \hline \end{longtable}"," ",0,"exp(1/8*x*(16*exp(exp(x)*x)-361)*exp(-exp(x)*x))","A"
5452,1,13,14,0.025000," ","int(1/4*(16*x^3+47*x^2-2*x)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{x} \left(16 x -1\right) x^{2}}{4}$&$13$\\ default&$-\frac{{\mathrm e}^{x} x^{2}}{4}+4 \,{\mathrm e}^{x} x^{3}$&$16$\\ norman&$-\frac{{\mathrm e}^{x} x^{2}}{4}+4 \,{\mathrm e}^{x} x^{3}$&$16$\\ risch&$\frac{\left(16 x^{3}-x^{2}\right) {\mathrm e}^{x}}{4}$&$16$\\ meijerg&$-\left(-4 x^{3}+12 x^{2}-24 x +24\right) {\mathrm e}^{x}+\frac{47 \left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}}{12}+\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{4}$&$44$\\ \hline \end{longtable}"," ",0,"1/4*exp(x)*(16*x-1)*x^2","A"
5453,1,22,20,0.033000," ","int(((8*x*ln(x)+8*x^2)*ln(x+ln(x))-4*x^2*ln(x)^3+(-4*x^3+8*x^2)*ln(x)^2+8*x^3*ln(x)-4*x^2-4*x)/((x+ln(x))*ln(x+ln(x))^2+(-2*x*ln(x)^3-2*x^2*ln(x)^2)*ln(x+ln(x))+x^2*ln(x)^5+x^3*ln(x)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x^{2}}{x \ln \left(x \right)^{2}-\ln \left(x +\ln \left(x \right)\right)}$&$22$\\ \hline \end{longtable}"," ",0,"-4*x^2/(x*ln(x)^2-ln(x+ln(x)))","A"
5454,1,57,25,0.324000," ","int((((-4*x^6-8*x^5)*ln(3)^2+(-40*x^6-80*x^5+128*x^4+256*x^3)*ln(3)-100*x^6-200*x^5+640*x^4+1280*x^3-1024*x^2-2048*x)*exp(x)-24*x^5*ln(3)^2+(3*x^6-240*x^5+768*x^3)*ln(3)+15*x^6-600*x^5-80*x^4+3840*x^3-6144*x)/(4*x^4*ln(3)^2+(40*x^4-128*x^2)*ln(3)+100*x^4-640*x^2+1024),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-3 \ln \left(3\right)-15\right) x^{4}+48 x^{2}+\left(-5-\ln \left(3\right)\right) x^{4} {\mathrm e}^{x}+\frac{x^{5}}{4}+16 \,{\mathrm e}^{x} x^{2}}{x^{2} \ln \left(3\right)+5 x^{2}-16}$&$57$\\ risch&$-\frac{12 \ln \left(3\right)^{2} x^{2}}{\left(4 \ln \left(3\right)+20\right) \left(5+\ln \left(3\right)\right)}+\frac{\ln \left(3\right) x^{3}}{\left(4 \ln \left(3\right)+20\right) \left(5+\ln \left(3\right)\right)}-\frac{120 \ln \left(3\right) x^{2}}{\left(4 \ln \left(3\right)+20\right) \left(5+\ln \left(3\right)\right)}+\frac{5 x^{3}}{\left(4 \ln \left(3\right)+20\right) \left(5+\ln \left(3\right)\right)}-\frac{300 x^{2}}{\left(4 \ln \left(3\right)+20\right) \left(5+\ln \left(3\right)\right)}+\frac{16 x}{\left(4 \ln \left(3\right)+20\right) \left(5+\ln \left(3\right)\right)}+\frac{256 x}{\left(4 \ln \left(3\right)+20\right) \left(5+\ln \left(3\right)\right) \left(x^{2} \ln \left(3\right)+5 x^{2}-16\right)}-{\mathrm e}^{x} x^{2}$&$160$\\ default&$\text{Expression too large to display}$&$3045$\\ \hline \end{longtable}"," ",0,"((-3*ln(3)-15)*x^4+48*x^2+(-5-ln(3))*x^4*exp(x)+1/4*x^5+16*exp(x)*x^2)/(x^2*ln(3)+5*x^2-16)","B"
5455,1,21,25,0.108000," ","int((2*exp(x)^2*x^2+(6-6*x)*exp(2)^2*exp(x)+(2*x^3+3*x^2)*exp(2)^2)/x^2/exp(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+3 x +{\mathrm e}^{2 x -4}-\frac{6 \,{\mathrm e}^{x}}{x}$&$21$\\ norman&$\frac{\left(x^{3} {\mathrm e}^{2}+x \,{\mathrm e}^{-2} {\mathrm e}^{2 x}+3 x^{2} {\mathrm e}^{2}-6 \,{\mathrm e}^{2} {\mathrm e}^{x}\right) {\mathrm e}^{-2}}{x}$&$39$\\ default&${\mathrm e}^{-4} \left(3 x \,{\mathrm e}^{4}+{\mathrm e}^{2 x}+x^{2} {\mathrm e}^{4}+6 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{x}}{x}-\expIntegralEi \left(1, -x \right)\right)+6 \,{\mathrm e}^{4} \expIntegralEi \left(1, -x \right)\right)$&$58$\\ \hline \end{longtable}"," ",0,"x^2+3*x+exp(2*x-4)-6*exp(x)/x","A"
5456,1,19,19,0.029000," ","int((10*x^4+40*x^3+4*x+10)*exp(x^5+5*x^4+x^2+5*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{2 x^{5}+10 x^{4}+2 x^{2}+10 x}$&$19$\\ default&${\mathrm e}^{2 x^{5}+10 x^{4}+2 x^{2}+10 x}$&$19$\\ norman&${\mathrm e}^{2 x^{5}+10 x^{4}+2 x^{2}+10 x}$&$19$\\ risch&${\mathrm e}^{2 x \left(5+x \right) \left(x +1\right) \left(x^{2}-x +1\right)}$&$19$\\ \hline \end{longtable}"," ",0,"exp(x^5+5*x^4+x^2+5*x)^2","A"
5457,1,13,13,0.206000," ","int((2*ln(ln(2)+5/4+1/4*x)+4*ln(2)+5+x)/(4*ln(2)+5+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\ln \left(\ln \left(2\right)+\frac{5}{4}+\frac{x}{4}\right)^{2}$&$13$\\ risch&$x +\ln \left(\ln \left(2\right)+\frac{5}{4}+\frac{x}{4}\right)^{2}$&$13$\\ derivativedivides&$\ln \left(\ln \left(2\right)+\frac{5}{4}+\frac{x}{4}\right)^{2}+4 \ln \left(2\right)+5+x$&$18$\\ default&$\ln \left(\ln \left(2\right)+\frac{5}{4}+\frac{x}{4}\right)^{2}+4 \ln \left(2\right)+5+x$&$18$\\ \hline \end{longtable}"," ",0,"x+ln(ln(2)+5/4+1/4*x)^2","A"
5458,1,27,26,0.159000," ","int(((1-x)*ln(-2*exp(1)+2)-2*x^4-x^3-2*x)/x^3/exp(1/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(-x^{3}+\ln \left(-2 \,{\mathrm e}+2\right)-2 x \right) {\mathrm e}^{-\frac{1}{x}}}{x}$&$27$\\ risch&$\frac{\left(-x^{3}+\ln \left(2\right)+\ln \left(1-{\mathrm e}\right)-2 x \right) {\mathrm e}^{-\frac{1}{x}}}{x}$&$29$\\ norman&$\frac{\left(\left(\ln \left(2\right)+\ln \left(1-{\mathrm e}\right)\right) x -2 x^{2}-x^{4}\right) {\mathrm e}^{-\frac{1}{x}}}{x^{2}}$&$34$\\ derivativedivides&$\frac{{\mathrm e}^{-\frac{1}{x}} \ln \left(2\right)}{x}+\frac{{\mathrm e}^{-\frac{1}{x}} \ln \left(1-{\mathrm e}\right)}{x}-2 \,{\mathrm e}^{-\frac{1}{x}}-x^{2} {\mathrm e}^{-\frac{1}{x}}$&$50$\\ default&$\frac{{\mathrm e}^{-\frac{1}{x}} \ln \left(2\right)}{x}+\frac{{\mathrm e}^{-\frac{1}{x}} \ln \left(1-{\mathrm e}\right)}{x}-2 \,{\mathrm e}^{-\frac{1}{x}}-x^{2} {\mathrm e}^{-\frac{1}{x}}$&$50$\\ meijerg&$-\left(-\ln \left(-2 \,{\mathrm e}+2\right)-2\right) \left(1-{\mathrm e}^{-\frac{1}{x}}\right)+\frac{x^{2} \left(\frac{9}{x^{2}}-\frac{12}{x}+6\right)}{6}-\frac{x^{2} \left(3-\frac{3}{x}\right) {\mathrm e}^{-\frac{1}{x}}}{3}-\frac{1}{2}+x -x^{2}+\frac{x \left(2-\frac{2}{x}\right)}{2}-x \,{\mathrm e}^{-\frac{1}{x}}-\ln \left(-2 \,{\mathrm e}+2\right) \left(1-\frac{\left(\frac{2}{x}+2\right) {\mathrm e}^{-\frac{1}{x}}}{2}\right)$&$112$\\ \hline \end{longtable}"," ",0,"(-x^3+ln(-2*exp(1)+2)-2*x)/exp(1/x)/x","A"
5459,1,32,26,0.102000," ","int(((2*x^5+2*x^4)*exp(x-ln(x))^2+(2*x^4+4*x^3)*exp(x-ln(x))-2*ln(1/3*x)+2*x^2-8)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-8 \ln \left(x \right)-\ln \left(\frac{x}{3}\right)^{2}+2 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x} x^{2}$&$32$\\ risch&$-\ln \left(x \right)^{2}+x^{2}+2 \ln \left(3\right) \ln \left(x \right)-8 \ln \left(x \right)+{\mathrm e}^{2 x} x^{2}+2 \,{\mathrm e}^{x} x^{2}$&$36$\\ \hline \end{longtable}"," ",0,"x^2-8*ln(x)-ln(1/3*x)^2+2*exp(x)*x^2+exp(2*x)*x^2","A"
5460,1,17,18,0.030000," ","int((-3*x*ln(x)+x^3+2*x^2-3*x-3)/(3*x*ln(x)-x^3+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -\ln \left(x^{2}-3 \ln \left(x \right)-3\right)$&$17$\\ risch&$-x -\ln \left(-\frac{x^{2}}{3}+\ln \left(x \right)+1\right)$&$17$\\ \hline \end{longtable}"," ",0,"-x-ln(x^2-3*ln(x)-3)","A"
5461,1,19,20,0.151000," ","int((48*x^3-16*x^2-72*x+16)*exp(x^2)^2/(27*x^8-27*x^7+9*x^6-x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 \,{\mathrm e}^{2 x^{2}}}{x^{4} \left(3 x -1\right)^{2}}$&$19$\\ risch&$\frac{4 \,{\mathrm e}^{2 x^{2}}}{x^{4} \left(3 x -1\right)^{2}}$&$19$\\ gosper&$\frac{4 \,{\mathrm e}^{2 x^{2}}}{x^{4} \left(9 x^{2}-6 x +1\right)}$&$24$\\ \hline \end{longtable}"," ",0,"4*exp(x^2)^2/x^4/(3*x-1)^2","A"
5462,1,9,8,0.024000," ","int(-12*x*exp(-6*x^2+34),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-6 x^{2}+34}$&$9$\\ derivativedivides&${\mathrm e}^{-6 x^{2}+34}$&$9$\\ default&${\mathrm e}^{-6 x^{2}+34}$&$9$\\ norman&${\mathrm e}^{-6 x^{2}+34}$&$9$\\ risch&${\mathrm e}^{-6 x^{2}+34}$&$9$\\ meijerg&$-{\mathrm e}^{34} \left(1-{\mathrm e}^{-6 x^{2}}\right)$&$15$\\ \hline \end{longtable}"," ",0,"exp(-6*x^2+34)","A"
5463,1,11,12,0.293000," ","int(65*exp(-1/(65*x-1))/(4225*x^2-130*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{1}{65 x -1}}$&$11$\\ derivativedivides&${\mathrm e}^{-\frac{1}{65 x -1}}$&$11$\\ default&${\mathrm e}^{-\frac{1}{65 x -1}}$&$11$\\ risch&${\mathrm e}^{-\frac{1}{65 x -1}}$&$11$\\ norman&$\frac{65 x \,{\mathrm e}^{-\frac{1}{65 x -1}}-{\mathrm e}^{-\frac{1}{65 x -1}}}{65 x -1}$&$35$\\ \hline \end{longtable}"," ",0,"exp(-1/(65*x-1))","A"
5464,1,25,18,0.058000," ","int((-300*x^4-6*x^3+300)/(25*x^5+x^4+5*x^3+25*x)/ln((25*x^4+x^3+5*x^2+25)/x^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3}{\ln \left(\frac{25 x^{4}+x^{3}+5 x^{2}+25}{x^{2}}\right)^{2}}$&$25$\\ risch&$\frac{3}{\ln \left(\frac{25 x^{4}+x^{3}+5 x^{2}+25}{x^{2}}\right)^{2}}$&$25$\\ \hline \end{longtable}"," ",0,"3/ln((25*x^4+x^3+5*x^2+25)/x^2)^2","A"
5465,1,47,23,0.175000," ","int(((-3*x^2-3*x+1)*exp((x+1)/x)^2+(60*x^2+30*x-10)*exp((x+1)/x)-300*x^2)/(675*x^5-675*x^4+225*x^3-25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-18 x^{3}+12 x^{2}-\frac{2 x \,{\mathrm e}^{\frac{x +1}{x}}}{5}+\frac{{\mathrm e}^{\frac{2 x +2}{x}} x}{50}}{x \left(3 x -1\right)^{2}}$&$47$\\ risch&$\frac{2}{9 \left(x^{2}-\frac{2}{3} x +\frac{1}{9}\right)}+\frac{{\mathrm e}^{\frac{2 x +2}{x}}}{50 \left(3 x -1\right)^{2}}-\frac{2 \,{\mathrm e}^{\frac{x +1}{x}}}{5 \left(3 x -1\right)^{2}}$&$49$\\ derivativedivides&$\frac{{\mathrm e}^{\frac{2}{x}+2}}{50}+\frac{3 \,{\mathrm e}^{\frac{2}{x}+2}}{25 \left(\frac{1}{x}-3\right)}+\frac{9 \,{\mathrm e}^{\frac{2}{x}+2}}{50 \left(\frac{1}{x}-3\right)^{2}}+\frac{12}{\frac{1}{x}-3}+\frac{18}{\left(\frac{1}{x}-3\right)^{2}}-\frac{12 \,{\mathrm e}^{\frac{1}{x}+1}}{5 \left(\frac{1}{x}-3\right)}-\frac{18 \,{\mathrm e}^{\frac{1}{x}+1}}{5 \left(\frac{1}{x}-3\right)^{2}}-\frac{2 \,{\mathrm e}^{\frac{1}{x}+1}}{5}$&$102$\\ default&$\frac{{\mathrm e}^{\frac{2}{x}+2}}{50}+\frac{3 \,{\mathrm e}^{\frac{2}{x}+2}}{25 \left(\frac{1}{x}-3\right)}+\frac{9 \,{\mathrm e}^{\frac{2}{x}+2}}{50 \left(\frac{1}{x}-3\right)^{2}}+\frac{12}{\frac{1}{x}-3}+\frac{18}{\left(\frac{1}{x}-3\right)^{2}}-\frac{12 \,{\mathrm e}^{\frac{1}{x}+1}}{5 \left(\frac{1}{x}-3\right)}-\frac{18 \,{\mathrm e}^{\frac{1}{x}+1}}{5 \left(\frac{1}{x}-3\right)^{2}}-\frac{2 \,{\mathrm e}^{\frac{1}{x}+1}}{5}$&$102$\\ \hline \end{longtable}"," ",0,"(-18*x^3+12*x^2-2/5*x*exp((x+1)/x)+1/50*exp((x+1)/x)^2*x)/x/(3*x-1)^2","A"
5466,1,27,26,0.100000," ","int((-32*x^7+80*x^6+32*x^5-12*x^4-120*x^3-12*x^2-18*x)*exp((-4*x^3+20*x^2+4*x)/(4*x^3+3))/(16*x^6+24*x^3+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x^{2} {\mathrm e}^{-\frac{4 x \left(x^{2}-5 x -1\right)}{4 x^{3}+3}}$&$27$\\ risch&$-x^{2} {\mathrm e}^{-\frac{4 x \left(x^{2}-5 x -1\right)}{4 x^{3}+3}}$&$27$\\ norman&$\frac{-3 x^{2} {\mathrm e}^{\frac{-4 x^{3}+20 x^{2}+4 x}{4 x^{3}+3}}-4 x^{5} {\mathrm e}^{\frac{-4 x^{3}+20 x^{2}+4 x}{4 x^{3}+3}}}{4 x^{3}+3}$&$72$\\ \hline \end{longtable}"," ",0,"-x^2*exp(-4*x*(x^2-5*x-1)/(4*x^3+3))","A"
5467,1,30,31,0.420000," ","int((((x^2-8*x-3)*exp(3)^2+x^2)*ln(-2*x^3*exp(3)^2/((x^2-8*x-3)*exp(3)^2+x^2))+(-x^2+16*x+9)*exp(3)^2-x^2)/((x^2-8*x-3)*exp(3)^2+x^2)/ln(-2*x^3*exp(3)^2/((x^2-8*x-3)*exp(3)^2+x^2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{\ln \left(-\frac{2 x^{3} {\mathrm e}^{6}}{\left(x^{2}-8 x -3\right) {\mathrm e}^{6}+x^{2}}\right)}$&$30$\\ norman&$\frac{x}{\ln \left(-\frac{2 x^{3} {\mathrm e}^{6}}{\left(x^{2}-8 x -3\right) {\mathrm e}^{6}+x^{2}}\right)}$&$34$\\ \hline \end{longtable}"," ",0,"x/ln(-2*x^3*exp(6)/((x^2-8*x-3)*exp(6)+x^2))","A"
5468,1,29,21,0.160000," ","int(((x-1)*exp(x)^2+(2*x^3-7*x)*exp(x)+x^5+x^4-x^3-11*x^2-5*x)*exp((exp(x)*x+x^3+x^2+5)/(exp(x)+x^2+x))*exp(exp((exp(x)*x+x^3+x^2+5)/(exp(x)+x^2+x))/x)/(exp(x)^2*x^2+(2*x^4+2*x^3)*exp(x)+x^6+2*x^5+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{\frac{{\mathrm e}^{x} x +x^{3}+x^{2}+5}{{\mathrm e}^{x}+x^{2}+x}}}{x}}$&$29$\\ \hline \end{longtable}"," ",0,"exp(exp((exp(x)*x+x^3+x^2+5)/(exp(x)+x^2+x))/x)","A"
5469,1,39,22,0.204000," ","int((-10*ln(2*(x+1)*ln(2)/exp(2+x))-10*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{10 \ln \left(2 \left(x +1\right) \ln \left(2\right) {\mathrm e}^{-x -2}\right) x +10 \ln \left(2 \left(x +1\right) \ln \left(2\right) {\mathrm e}^{-x -2}\right)}{x}$&$39$\\ default&$-10 x +\frac{10 \ln \left(2\right)}{x}+\frac{10 \ln \left(\ln \left(2\right)\right)}{x}+\frac{10 \ln \left(\left(x +1\right) {\mathrm e}^{-x -2}\right)}{x}+10 \ln \left(-x -1\right)$&$44$\\ risch&$-\frac{10 \ln \left({\mathrm e}^{2+x}\right)}{x}+\frac{-5 i \pi  \,\mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x -2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x -2} \left(x +1\right)\right)+5 i \pi  \,\mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x -2} \left(x +1\right)\right)^{2}+5 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x -2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x -2} \left(x +1\right)\right)^{2}-5 i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x -2} \left(x +1\right)\right)^{3}+10 \ln \left(x +1\right) x -10 x^{2}+10 \ln \left(2\right)+10 \ln \left(\ln \left(2\right)\right)+10 \ln \left(x +1\right)}{x}$&$153$\\ \hline \end{longtable}"," ",0,"(10*ln(2*(x+1)*ln(2)/exp(2+x))*x+10*ln(2*(x+1)*ln(2)/exp(2+x)))/x","A"
5470,1,28,22,0.116000," ","int(((-2*x*ln(2)*ln(2*ln(2))-2*x^2*ln(2))*exp(ln(2*ln(2))^2+2*x*ln(2*ln(2))+x^2)+(2*x-1)*ln(2))/(x*exp(ln(2*ln(2))^2+2*x*ln(2*ln(2))+x^2)^2+(2*x*ln(x)-4*x^2-2*x)*exp(ln(2*ln(2))^2+2*x*ln(2*ln(2))+x^2)+x*ln(x)^2+(-4*x^2-2*x)*ln(x)+4*x^3+4*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(2\right)}{2 x -{\mathrm e}^{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)+x \right)^{2}}-\ln \left(x \right)+1}$&$28$\\ \hline \end{longtable}"," ",0,"-ln(2)/(2*x-exp((ln(2)+ln(ln(2))+x)^2)-ln(x)+1)","A"
5471,1,17,17,0.231000," ","int(((-2508*x+4864)*ln(-33/32*x+2)-132)/(33*x-64)/ln(-33/32*x+2)/exp(ln(ln(-33/32*x+2))+19*x-20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{20-19 x}}{\ln \left(-\frac{33 x}{32}+2\right)}$&$17$\\ norman&$\frac{4 \,{\mathrm e}^{20-19 x}}{\ln \left(-\frac{33 x}{32}+2\right)}$&$18$\\ \hline \end{longtable}"," ",0,"4/ln(-33/32*x+2)*exp(20-19*x)","A"
5472,1,599,25,0.317000," ","int(((-3*x^6+16*x^5)*ln(x^2)^2+(-4*x^6+16*x^5)*ln(x^2)+(-4*x^2+32*x-64)*exp(4/x)+x^4-8*x^3+16*x^2)/(x^4-8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x^{4} \ln \left(x \right)^{2}}{x -4}+\frac{2 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(x^{4} \mathrm{csgn}\left(i x \right)^{2}-2 x^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)+x^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-64 x \mathrm{csgn}\left(i x \right)^{2}+128 x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)-64 x \mathrm{csgn}\left(i x^{2}\right)^{2}+256 \mathrm{csgn}\left(i x \right)^{2}-512 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+256 \mathrm{csgn}\left(i x^{2}\right)^{2}\right) \ln \left(x \right)}{x -4}+\frac{-16 x -16 \,{\mathrm e}^{\frac{4}{x}}+4 x^{2}+512 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) x +6 \pi^{2} x^{4} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}-4 \pi^{2} x^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-2048 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3}-64 \pi^{2} x \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}+256 \pi^{2} x \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-384 \pi^{2} x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+256 \pi^{2} x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}+\pi^{2} x^{4} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-4 \pi^{2} x^{4} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}+4 x \,{\mathrm e}^{\frac{4}{x}}+4096 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-1024 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} x +256 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}+256 \pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-1024 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}+1536 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}-1024 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}+\pi^{2} x^{4} \mathrm{csgn}\left(i x^{2}\right)^{6}-64 \pi^{2} x \mathrm{csgn}\left(i x^{2}\right)^{6}+512 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} x -2048 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{4 x -16}$&$599$\\ \hline \end{longtable}"," ",0,"-4*x^4/(x-4)*ln(x)^2+2*I*Pi*csgn(I*x^2)*(x^4*csgn(I*x)^2-2*x^4*csgn(I*x)*csgn(I*x^2)+x^4*csgn(I*x^2)^2-64*x*csgn(I*x)^2+128*x*csgn(I*x)*csgn(I*x^2)-64*x*csgn(I*x^2)^2+256*csgn(I*x)^2-512*csgn(I*x^2)*csgn(I*x)+256*csgn(I*x^2)^2)/(x-4)*ln(x)+1/4*(-16*x+256*Pi^2*csgn(I*x)^4*csgn(I*x^2)^2-1024*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3+1536*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4-1024*Pi^2*csgn(I*x)*csgn(I*x^2)^5-16*exp(4/x)+4*x^2-1024*I*Pi*ln(x)*csgn(I*x)*csgn(I*x^2)^2*x+512*I*Pi*ln(x)*csgn(I*x)^2*csgn(I*x^2)*x+Pi^2*x^4*csgn(I*x)^4*csgn(I*x^2)^2-4*Pi^2*x^4*csgn(I*x)^3*csgn(I*x^2)^3+6*Pi^2*x^4*csgn(I*x)^2*csgn(I*x^2)^4-4*Pi^2*x^4*csgn(I*x)*csgn(I*x^2)^5-2048*I*Pi*ln(x)*csgn(I*x^2)^3+4*x*exp(4/x)+Pi^2*x^4*csgn(I*x^2)^6+256*Pi^2*csgn(I*x^2)^6-64*Pi^2*x*csgn(I*x^2)^6+4096*I*Pi*ln(x)*csgn(I*x)*csgn(I*x^2)^2+512*I*Pi*ln(x)*csgn(I*x^2)^3*x-2048*I*Pi*ln(x)*csgn(I*x)^2*csgn(I*x^2)-64*Pi^2*x*csgn(I*x)^4*csgn(I*x^2)^2+256*Pi^2*x*csgn(I*x)^3*csgn(I*x^2)^3-384*Pi^2*x*csgn(I*x)^2*csgn(I*x^2)^4+256*Pi^2*x*csgn(I*x)*csgn(I*x^2)^5)/(x-4)","C"
5473,1,45,24,0.061000," ","int(((4*x^6*exp(x)-12*x^6)*ln(exp(x)-3)^3+(((-8*x^5+8*x^3)*exp(x)+24*x^5-24*x^3)*exp(x^2)+24*x^6*exp(x)-72*x^6)*ln(exp(x)-3)^2+(((4*x^2-5)*exp(x)-12*x^2+15)*exp(x^2)^2+((-32*x^5+4*x^4+32*x^3)*exp(x)+96*x^5-96*x^3)*exp(x^2)+48*x^6*exp(x)-144*x^6)*ln(exp(x)-3)+((8*x^2-2*x-10)*exp(x)-24*x^2+30)*exp(x^2)^2+((-32*x^5+8*x^4+32*x^3)*exp(x)+96*x^5-96*x^3)*exp(x^2)+32*x^6*exp(x)-96*x^6)/((x^6*exp(x)-3*x^6)*ln(exp(x)-3)^3+(6*x^6*exp(x)-18*x^6)*ln(exp(x)-3)^2+(12*x^6*exp(x)-36*x^6)*ln(exp(x)-3)+8*x^6*exp(x)-24*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x -\frac{{\mathrm e}^{x^{2}} \left(4 \ln \left({\mathrm e}^{x}-3\right) x^{3}+8 x^{3}-{\mathrm e}^{x^{2}}\right)}{x^{5} \left(\ln \left({\mathrm e}^{x}-3\right)+2\right)^{2}}$&$45$\\ \hline \end{longtable}"," ",0,"4*x-exp(x^2)/x^5*(4*ln(exp(x)-3)*x^3+8*x^3-exp(x^2))/(ln(exp(x)-3)+2)^2","A"
5474,1,26,17,0.122000," ","int(((-exp(x)*x-x)*ln(x)^2+(-2*exp(x)+4*ln(5)-2*x)*ln(x))*exp((-exp(x)+2*ln(5)-x)*ln(x)^2-3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25^{\ln \left(x \right)^{2}} {\mathrm e}^{-3-{\mathrm e}^{x} \ln \left(x \right)^{2}-x \ln \left(x \right)^{2}}$&$26$\\ \hline \end{longtable}"," ",0,"25^(ln(x)^2)*exp(-3-exp(x)*ln(x)^2-x*ln(x)^2)","A"
5475,1,12,13,0.203000," ","int(((-5*x^2-20)*ln(x^2+4)*ln(ln(x^2+4))+2*x^2)/(x^8+4*x^6)/ln(x^2+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(x^{2}+4\right)\right)}{x^{5}}$&$12$\\ \hline \end{longtable}"," ",0,"ln(ln(x^2+4))/x^5","A"
5476,1,15,30,0.023000," ","int((3*x^4+27*x^2+36)/(5*x^4+40*x^2+80),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 x}{5}-\frac{3 x}{5 \left(x^{2}+4\right)}$&$15$\\ risch&$\frac{3 x}{5}-\frac{3 x}{5 \left(x^{2}+4\right)}$&$15$\\ gosper&$\frac{3 \left(x^{2}+3\right) x}{5 \left(x^{2}+4\right)}$&$16$\\ norman&$\frac{\frac{9}{5} x +\frac{3}{5} x^{3}}{x^{2}+4}$&$18$\\ \hline \end{longtable}"," ",0,"3/5*x-3/5*x/(x^2+4)","A"
5477,1,33,24,7.268000," ","int((((3*x^2-6*x-2)*ln(5)^2+(6*x^2-12*x-4)*exp(2)*ln(5)+(3*x^2-6*x-2)*exp(2)^2)*exp(exp(5)+3*x)-10)/(x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left({\mathrm e}^{4}+2 \,{\mathrm e}^{2} \ln \left(5\right)+\ln \left(5\right)^{2}\right) x \,{\mathrm e}^{{\mathrm e}^{5}+3 x}+10}{x -2}$&$33$\\ risch&$\frac{10}{x -2}+\frac{\left({\mathrm e}^{4}+2 \,{\mathrm e}^{2} \ln \left(5\right)+\ln \left(5\right)^{2}\right) x \,{\mathrm e}^{{\mathrm e}^{5}+3 x}}{x -2}$&$36$\\ derivativedivides&$6 \,{\mathrm e}^{4} {\mathrm e}^{5} \left(\frac{{\mathrm e}^{{\mathrm e}^{5}+3 x}}{-3 x +6}-{\mathrm e}^{{\mathrm e}^{5}+6} \expIntegralEi \left(1, -3 x +6\right)\right)+{\mathrm e}^{4} {\mathrm e}^{10} \left(\frac{{\mathrm e}^{{\mathrm e}^{5}+3 x}}{-3 x +6}-{\mathrm e}^{{\mathrm e}^{5}+6} \expIntegralEi \left(1, -3 x +6\right)\right)+{\mathrm e}^{{\mathrm e}^{5}+3 x} \ln \left(5\right)^{2}-\frac{30}{-3 x +6}-6 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{{\mathrm e}^{5}+3 x} \left({\mathrm e}^{5}+6\right)}{-3 x +6}-\left({\mathrm e}^{5}+7\right) {\mathrm e}^{{\mathrm e}^{5}+6} \expIntegralEi \left(1, -3 x +6\right)\right)+{\mathrm e}^{4} \left({\mathrm e}^{{\mathrm e}^{5}+3 x}+\frac{{\mathrm e}^{{\mathrm e}^{5}+3 x} \left(12 \,{\mathrm e}^{5}+{\mathrm e}^{10}+36\right)}{-3 x +6}-\left({\mathrm e}^{10}+14 \,{\mathrm e}^{5}+48\right) {\mathrm e}^{{\mathrm e}^{5}+6} \expIntegralEi \left(1, -3 x +6\right)\right)+2 \,{\mathrm e}^{{\mathrm e}^{5}+3 x} {\mathrm e}^{2} \ln \left(5\right)-6 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{{\mathrm e}^{5}+3 x}}{-3 x +6}-{\mathrm e}^{{\mathrm e}^{5}+6} \expIntegralEi \left(1, -3 x +6\right)\right)-\frac{12 \,{\mathrm e}^{2} \ln \left(5\right) {\mathrm e}^{{\mathrm e}^{5}+3 x}}{-3 x +6}-2 \,{\mathrm e}^{4} {\mathrm e}^{5} \left(\frac{{\mathrm e}^{{\mathrm e}^{5}+3 x} \left({\mathrm e}^{5}+6\right)}{-3 x +6}-\left({\mathrm e}^{5}+7\right) {\mathrm e}^{{\mathrm e}^{5}+6} \expIntegralEi \left(1, -3 x +6\right)\right)-\frac{6 \ln \left(5\right)^{2} {\mathrm e}^{{\mathrm e}^{5}+3 x}}{-3 x +6}$&$422$\\ default&$6 \,{\mathrm e}^{4} {\mathrm e}^{5} \left(\frac{{\mathrm e}^{{\mathrm e}^{5}+3 x}}{-3 x +6}-{\mathrm e}^{{\mathrm e}^{5}+6} \expIntegralEi \left(1, -3 x +6\right)\right)+{\mathrm e}^{4} {\mathrm e}^{10} \left(\frac{{\mathrm e}^{{\mathrm e}^{5}+3 x}}{-3 x +6}-{\mathrm e}^{{\mathrm e}^{5}+6} \expIntegralEi \left(1, -3 x +6\right)\right)+{\mathrm e}^{{\mathrm e}^{5}+3 x} \ln \left(5\right)^{2}-\frac{30}{-3 x +6}-6 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{{\mathrm e}^{5}+3 x} \left({\mathrm e}^{5}+6\right)}{-3 x +6}-\left({\mathrm e}^{5}+7\right) {\mathrm e}^{{\mathrm e}^{5}+6} \expIntegralEi \left(1, -3 x +6\right)\right)+{\mathrm e}^{4} \left({\mathrm e}^{{\mathrm e}^{5}+3 x}+\frac{{\mathrm e}^{{\mathrm e}^{5}+3 x} \left(12 \,{\mathrm e}^{5}+{\mathrm e}^{10}+36\right)}{-3 x +6}-\left({\mathrm e}^{10}+14 \,{\mathrm e}^{5}+48\right) {\mathrm e}^{{\mathrm e}^{5}+6} \expIntegralEi \left(1, -3 x +6\right)\right)+2 \,{\mathrm e}^{{\mathrm e}^{5}+3 x} {\mathrm e}^{2} \ln \left(5\right)-6 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{{\mathrm e}^{5}+3 x}}{-3 x +6}-{\mathrm e}^{{\mathrm e}^{5}+6} \expIntegralEi \left(1, -3 x +6\right)\right)-\frac{12 \,{\mathrm e}^{2} \ln \left(5\right) {\mathrm e}^{{\mathrm e}^{5}+3 x}}{-3 x +6}-2 \,{\mathrm e}^{4} {\mathrm e}^{5} \left(\frac{{\mathrm e}^{{\mathrm e}^{5}+3 x} \left({\mathrm e}^{5}+6\right)}{-3 x +6}-\left({\mathrm e}^{5}+7\right) {\mathrm e}^{{\mathrm e}^{5}+6} \expIntegralEi \left(1, -3 x +6\right)\right)-\frac{6 \ln \left(5\right)^{2} {\mathrm e}^{{\mathrm e}^{5}+3 x}}{-3 x +6}$&$422$\\ \hline \end{longtable}"," ",0,"((ln(5)^2+2*exp(2)*ln(5)+exp(2)^2)*x*exp(exp(5)+3*x)+10)/(x-2)","A"
5478,1,13,14,0.026000," ","int(((-x^8+2*x)*ln(x)+x^8-2*x+2)/(2*x*ln(x)-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\frac{x^{8}}{16}+\ln \left(\ln \left(x \right)-1\right)$&$13$\\ risch&$x -\frac{x^{8}}{16}+\ln \left(\ln \left(x \right)-1\right)$&$13$\\ \hline \end{longtable}"," ",0,"x-1/16*x^8+ln(ln(x)-1)","A"
5479,1,41,25,0.050000," ","int(((x*exp(x)^2+(-x-1)*exp(x))*exp(exp(x))+(-4*x-4)*exp(x)*ln(x)^4+16*exp(x)*ln(x)^3+(x^3-x^2)*exp(x))/(8*exp(exp(x))^2+(64*ln(x)^4-exp(x)*x-16*x^2)*exp(exp(x))+128*ln(x)^8+(-4*exp(x)*x-64*x^2)*ln(x)^4+exp(x)*x^3+8*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(4 \ln \left(x \right)^{4}-x^{2}-\frac{{\mathrm e}^{x} x}{8}+{\mathrm e}^{{\mathrm e}^{x}}\right)-\ln \left({\mathrm e}^{{\mathrm e}^{x}}+4 \ln \left(x \right)^{4}-x^{2}\right)$&$41$\\ \hline \end{longtable}"," ",0,"ln(4*ln(x)^4-x^2-1/8*exp(x)*x+exp(exp(x)))-ln(exp(exp(x))+4*ln(x)^4-x^2)","A"
5480,1,21,21,0.237000," ","int(((8*x^3+7*x^2-x)*exp(x)+40*x^2-405*x+25)/(8*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-25 \ln \left(8 x -1\right)-25 \ln \left(x \right)+5 x +{\mathrm e}^{x} x$&$21$\\ norman&$-25 \ln \left(8 x -1\right)-25 \ln \left(x \right)+5 x +{\mathrm e}^{x} x$&$21$\\ risch&$5 x -25 \ln \left(8 x^{2}-x \right)+{\mathrm e}^{x} x$&$21$\\ \hline \end{longtable}"," ",0,"-25*ln(8*x-1)-25*ln(x)+5*x+exp(x)*x","A"
5481,1,23,26,0.233000," ","int(1/5*(((-5*x^2+25)*exp((-5*x^2+5*x-25)/x)-x)*exp(exp((-5*x^2+5*x-25)/x))+5*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{{\mathrm e}^{{\mathrm e}^{-\frac{5 \left(x^{2}-x +5\right)}{x}}}}{5 x}$&$23$\\ norman&$\frac{x^{3}+\frac{x \,{\mathrm e}^{{\mathrm e}^{\frac{-5 x^{2}+5 x -25}{x}}}}{5}}{x^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"x+1/5/x*exp(exp(-5*(x^2-x+5)/x))","A"
5482,1,136,32,0.152000," ","int((((-256*x+256)*exp(x)+102400*x^2)*ln(4*ln(2))^4+(-25600*x^3*ln(x)+38400*x^4-12800*x^3)*ln(4*ln(2))^3+(1200*x^4*ln(x)^2+(-3200*x^5+800*x^4)*ln(x)+2000*x^6-800*x^5)*ln(4*ln(2))^2)/((256*exp(x)^2-204800*exp(x)*x^2+40960000*x^4)*ln(4*ln(2))^4+((25600*exp(x)*x^3-10240000*x^5)*ln(x)-25600*exp(x)*x^4+10240000*x^6)*ln(4*ln(2))^3+((-800*exp(x)*x^4+960000*x^6)*ln(x)^2+(1600*x^5*exp(x)-1920000*x^7)*ln(x)-800*x^6*exp(x)+960000*x^8)*ln(4*ln(2))^2+(-40000*x^7*ln(x)^3+120000*x^8*ln(x)^2-120000*x^9*ln(x)+40000*x^10)*ln(4*ln(2))+625*x^8*ln(x)^4-2500*x^9*ln(x)^3+3750*x^10*ln(x)^2-2500*x^11*ln(x)+625*x^12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{16 x \left(4 \ln \left(2\right)^{2}+4 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)+\ln \left(\ln \left(2\right)\right)^{2}\right)}{25 x^{6}-50 x^{5} \ln \left(x \right)+25 x^{4} \ln \left(x \right)^{2}+1600 x^{4} \ln \left(2\right)-1600 \ln \left(x \right) \ln \left(2\right) x^{3}+800 \ln \left(\ln \left(2\right)\right) x^{4}-800 \ln \left(x \right) \ln \left(\ln \left(2\right)\right) x^{3}+25600 x^{2} \ln \left(2\right)^{2}+25600 \ln \left(2\right) \ln \left(\ln \left(2\right)\right) x^{2}+6400 x^{2} \ln \left(\ln \left(2\right)\right)^{2}-64 \ln \left(2\right)^{2} {\mathrm e}^{x}-64 \ln \left(2\right) {\mathrm e}^{x} \ln \left(\ln \left(2\right)\right)-16 \,{\mathrm e}^{x} \ln \left(\ln \left(2\right)\right)^{2}}$&$136$\\ \hline \end{longtable}"," ",0,"-16*x*(4*ln(2)^2+4*ln(2)*ln(ln(2))+ln(ln(2))^2)/(25*x^6-50*x^5*ln(x)+25*x^4*ln(x)^2+1600*x^4*ln(2)-1600*ln(x)*ln(2)*x^3+800*ln(ln(2))*x^4-800*ln(x)*ln(ln(2))*x^3+25600*x^2*ln(2)^2+25600*ln(2)*ln(ln(2))*x^2+6400*x^2*ln(ln(2))^2-64*ln(2)^2*exp(x)-64*ln(2)*exp(x)*ln(ln(2))-16*exp(x)*ln(ln(2))^2)","B"
5483,1,28,18,0.087000," ","int(((-6*x+15)*exp(x)*ln(x)^2+(x-1)*ln(x)+1)*exp(((-3*x^2+15*x)*exp(x)*ln(x)-x)/exp(x)/ln(x))/exp(x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x \left(3 x \,{\mathrm e}^{x} \ln \left(x \right)-15 \,{\mathrm e}^{x} \ln \left(x \right)+1\right) {\mathrm e}^{-x}}{\ln \left(x \right)}}$&$28$\\ \hline \end{longtable}"," ",0,"exp(-x*(3*x*exp(x)*ln(x)-15*exp(x)*ln(x)+1)*exp(-x)/ln(x))","A"
5484,1,24,23,0.049000," ","int((((-2*x^2+4*x-2)*exp(x)+2*(-8*x^2+16*x-8)*ln(3))*ln(exp(x)+8*ln(3))+(3*x^3-6*x^2)*exp(x)^2+(2*(12*x^3-24*x^2)*ln(3)+2*x^3-4*x^2+2*x)*exp(x))/((x^4-2*x^3+x^2)*exp(x)+2*(4*x^4-8*x^3+4*x^2)*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left({\mathrm e}^{x}+8 \ln \left(3\right)\right)}{x}+\frac{3 \,{\mathrm e}^{x}}{x -1}$&$24$\\ \hline \end{longtable}"," ",0,"2*ln(exp(x)+8*ln(3))/x+3/(x-1)*exp(x)","A"
5485,1,14,17,0.055000," ","int(1/2*exp(1/2*x)-exp(4)*ln(4/9)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{4} \ln \left(\frac{4}{9}\right) x +{\mathrm e}^{\frac{x}{2}}$&$14$\\ derivativedivides&${\mathrm e}^{\frac{x}{2}}+\left(-2 \,{\mathrm e}^{4} \ln \left(\frac{4}{9}\right)+2\right) \ln \left({\mathrm e}^{\frac{x}{2}}\right)$&$20$\\ risch&$-2 x \,{\mathrm e}^{4} \ln \left(2\right)+2 \,{\mathrm e}^{4} x \ln \left(3\right)+{\mathrm e}^{\frac{x}{2}}+x$&$21$\\ norman&$\left(-2 \,{\mathrm e}^{4} \ln \left(2\right)+2 \,{\mathrm e}^{4} \ln \left(3\right)+1\right) x +{\mathrm e}^{\frac{x}{2}}$&$22$\\ \hline \end{longtable}"," ",0,"x-exp(4)*ln(4/9)*x+exp(1/2*x)","A"
5486,1,18,22,0.039000," ","int(1/3*(exp(2)*exp(x)+54*x+72)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$24 \,{\mathrm e}^{-2} x +9 x^{2} {\mathrm e}^{-2}+\frac{{\mathrm e}^{x}}{3}$&$18$\\ default&$\frac{{\mathrm e}^{-2} \left(72 x +{\mathrm e}^{2} {\mathrm e}^{x}+27 x^{2}\right)}{3}$&$21$\\ norman&$24 \,{\mathrm e}^{-2} x +9 x^{2} {\mathrm e}^{-2}+\frac{{\mathrm e}^{x}}{3}$&$22$\\ \hline \end{longtable}"," ",0,"24*exp(-2)*x+9*x^2*exp(-2)+1/3*exp(x)","A"
5487,1,22,26,0.032000," ","int((2*exp(x)*x+x^2+x-2)/(exp(x)*x^2-x^2-3*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x +\ln \left({\mathrm e}^{x} x^{2}-x^{2}-3 x -1\right)$&$22$\\ risch&$2 \ln \left(x \right)-x +\ln \left({\mathrm e}^{x}-\frac{x^{2}+3 x +1}{x^{2}}\right)$&$26$\\ \hline \end{longtable}"," ",0,"-x+ln(exp(x)*x^2-x^2-3*x-1)","A"
5488,1,18,23,0.037000," ","int((exp(5-ln(x))+16*x*exp(16*exp(3)^2+8*x)^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{5}}{x}+{\mathrm e}^{32 \,{\mathrm e}^{6}+16 x}$&$18$\\ default&${\mathrm e}^{32 \,{\mathrm e}^{6}+16 x}-{\mathrm e}^{5-\ln \left(x \right)}$&$24$\\ norman&$\frac{x \,{\mathrm e}^{32 \,{\mathrm e}^{6}+16 x}-{\mathrm e}^{5}}{x}$&$25$\\ \hline \end{longtable}"," ",0,"-exp(5)/x+exp(32*exp(6)+16*x)","A"
5489,1,12,14,0.633000," ","int((10*x+5)/(x^2+ln(3)+x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 \ln \left(x^{2}+\ln \left(3\right)+x +1\right)$&$12$\\ norman&$5 \ln \left(x^{2}+\ln \left(3\right)+x +1\right)$&$12$\\ risch&$5 \ln \left(x^{2}+\ln \left(3\right)+x +1\right)$&$12$\\ \hline \end{longtable}"," ",0,"5*ln(x^2+ln(3)+x+1)","A"
5490,1,7,15,0.018000," ","int((-4*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x +\ln \left(x \right)$&$7$\\ norman&$-4 x +\ln \left(x \right)$&$7$\\ risch&$-4 x +\ln \left(x \right)$&$7$\\ \hline \end{longtable}"," ",0,"-4*x+ln(x)","A"
5491,1,18,20,0.036000," ","int(1/3*(8*x^2+12*x-77)/exp(-4/3*x^2+20/3*x-4/3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left(4+x \right) {\mathrm e}^{\frac{4}{3} x^{2}-\frac{20}{3} x +\frac{4}{3}}$&$18$\\ norman&$\left(4+x \right) {\mathrm e}^{\frac{4}{3} x^{2}-\frac{20}{3} x +\frac{4}{3}}$&$18$\\ risch&$\frac{\left(3 x +12\right) {\mathrm e}^{\frac{4}{3} x^{2}-\frac{20}{3} x +\frac{4}{3}}}{3}$&$19$\\ default&$4 \,{\mathrm e}^{\frac{4}{3} x^{2}-\frac{20}{3} x +\frac{4}{3}}+x \,{\mathrm e}^{\frac{4}{3} x^{2}-\frac{20}{3} x +\frac{4}{3}}$&$28$\\ \hline \end{longtable}"," ",0,"(4+x)/exp(-4/3*x^2+20/3*x-4/3)","A"
5492,1,23,24,0.057000," ","int(((12*x^2*exp(x^2)-12*x+6)*exp(-exp(x^2)+2*x)-2*x)/x^3/exp(3*exp(-exp(x^2)+2*x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{-\frac{3 \,{\mathrm e}^{-{\mathrm e}^{x^{2}}+2 x}}{x}}}{x}$&$23$\\ \hline \end{longtable}"," ",0,"2/x*exp(-3*exp(-exp(x^2)+2*x)/x)","A"
5493,1,63,29,0.109000," ","int((-2*x^2*exp(-x+6)*exp(x)*exp(-2/(exp(-x+6)-4))+(x^2*exp(-x+6)^2-8*x^2*exp(-x+6)+16*x^2)*exp(x)+(3*x+3)*ln(3)*exp(-x+6)^2+(-24*x-24)*ln(3)*exp(-x+6)+(48*x+48)*ln(3))/((x^2*exp(-x+6)^2-8*x^2*exp(-x+6)+16*x^2)*exp(x)*exp(-2/(exp(-x+6)-4))+(x^3*exp(-x+6)^2-8*x^3*exp(-x+6)+16*x^3)*exp(x)-3*x*ln(3)*exp(-x+6)^2+24*x*ln(3)*exp(-x+6)-48*x*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{6}}{2 \left({\mathrm e}^{6}-4 \,{\mathrm e}^{x}\right)}+\frac{2}{{\mathrm e}^{-x +6}-4}+\ln \left({\mathrm e}^{-\frac{2}{{\mathrm e}^{-x +6}-4}}-\frac{\left(-{\mathrm e}^{x} x^{2}+3 \ln \left(3\right)\right) {\mathrm e}^{-x}}{x}\right)$&$63$\\ \hline \end{longtable}"," ",0,"-1/2*exp(6)/(exp(6)-4*exp(x))+2/(exp(-x+6)-4)+ln(exp(-2/(exp(-x+6)-4))-(-exp(x)*x^2+3*ln(3))/x*exp(-x))","B"
5494,1,34,25,0.134000," ","int((-2*ln(10/x)+6*x^2-8)*ln(x^2)-4*ln(10/x)+4*x^2-18,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 x -10 x \ln \left(x^{2}\right)+2 x^{3} \ln \left(x^{2}\right)-2 x \ln \left(x^{2}\right) \ln \left(\frac{10}{x}\right)$&$34$\\ default&$2 x +2 x^{3} \ln \left(x^{2}\right)-2 \ln \left(x^{2}\right) \ln \left(10\right) x +4 \ln \left(10\right) x +4 x \ln \left(\frac{1}{x}\right)-10 x \ln \left(x^{2}\right)-2 \ln \left(x^{2}\right) \ln \left(\frac{1}{x}\right) x -4 \ln \left(\frac{10}{x}\right) x$&$62$\\ risch&$4 x \ln \left(x \right)^{2}+\left(-i x \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i x \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 x^{3}-4 x \ln \left(5\right)-4 x \ln \left(2\right)-24 x \right) \ln \left(x \right)-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) x^{3}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} x^{3}+i \pi  \ln \left(5\right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) x -2 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} x -10 i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+5 i x \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) x +2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} x^{3}+i \pi  \ln \left(5\right) \mathrm{csgn}\left(i x^{2}\right)^{3} x +5 i x \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \ln \left(5\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} x +i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x^{2}\right)^{3} x +4 x \ln \left(5\right)+4 x \ln \left(2\right)+2 x -4 \ln \left(\frac{10}{x}\right) x$&$331$\\ \hline \end{longtable}"," ",0,"2*x-10*x*ln(x^2)+2*x^3*ln(x^2)-2*x*ln(x^2)*ln(10/x)","A"
5495,1,46,29,0.243000," ","int(((32*x^3*ln(2)-32*x^3)*exp(x)+2*(65*x^2-16)*ln(2)-64*x^3-226*x^2+32)/(2*x^2*ln(2)-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16+\frac{\left(65 \ln \left(2\right)-113\right) x^{2}}{\ln \left(2\right)-1}-\frac{16 x^{3}}{\ln \left(2\right)-1}-16 \,{\mathrm e}^{x} x +16 \,{\mathrm e}^{x} x^{2}}{x}$&$46$\\ risch&$\frac{65 \ln \left(2\right) x}{\ln \left(2\right)-1}-\frac{16 x^{2}}{\ln \left(2\right)-1}-\frac{113 x}{\ln \left(2\right)-1}+\frac{16 \ln \left(2\right)^{2}}{\left(\ln \left(2\right)-1\right)^{2} x}-\frac{32 \ln \left(2\right)}{\left(\ln \left(2\right)-1\right)^{2} x}+\frac{16}{\left(\ln \left(2\right)-1\right)^{2} x}+\left(16 x -16\right) {\mathrm e}^{x}$&$80$\\ default&$-\frac{16}{\left(\ln \left(2\right)-1\right) x}-\frac{113 x}{\ln \left(2\right)-1}-\frac{16 x^{2}}{\ln \left(2\right)-1}+\frac{16 \ln \left(2\right)}{\left(\ln \left(2\right)-1\right) x}+\frac{65 \ln \left(2\right) x}{\ln \left(2\right)-1}-\frac{16 \,{\mathrm e}^{x} x}{\ln \left(2\right)-1}+\frac{16 \,{\mathrm e}^{x}}{\ln \left(2\right)-1}+\frac{16 \ln \left(2\right) {\mathrm e}^{x} x}{\ln \left(2\right)-1}-\frac{16 \ln \left(2\right) {\mathrm e}^{x}}{\ln \left(2\right)-1}$&$103$\\ \hline \end{longtable}"," ",0,"(16+(65*ln(2)-113)/(ln(2)-1)*x^2-16/(ln(2)-1)*x^3-16*exp(x)*x+16*exp(x)*x^2)/x","A"
5496,1,16,16,0.024000," ","int((2*x^3*exp(x^2-2)+3*x^2+1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x -\frac{1}{x}+{\mathrm e}^{x^{2}-2}$&$16$\\ default&$3 x -\frac{1}{x}+{\mathrm e}^{x^{2}} {\mathrm e}^{-2}$&$17$\\ norman&$\frac{-1+x \,{\mathrm e}^{x^{2}-2}+3 x^{2}}{x}$&$20$\\ \hline \end{longtable}"," ",0,"3*x-1/x+exp(x^2-2)","A"
5497,1,16,17,0.073000," ","int((3840*x*ln(4*x)-65280*x-7680)/((x^3-2*x^2+x)*ln(4*x)^3+(-57*x^3+114*x^2-57*x)*ln(4*x)^2+(1083*x^3-2166*x^2+1083*x)*ln(4*x)-6859*x^3+13718*x^2-6859*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{3840}{\left(\ln \left(4 x \right)-19\right)^{2} \left(x -1\right)}$&$16$\\ risch&$-\frac{3840}{\left(\ln \left(4 x \right)-19\right)^{2} \left(x -1\right)}$&$16$\\ \hline \end{longtable}"," ",0,"-3840/(ln(4*x)-19)^2/(x-1)","A"
5498,1,30,23,0.455000," ","int(((3*exp(x)+3*x*ln(2))*exp(5+x)*ln((exp(x)+x*ln(2))/ln(2))+(3*exp(x)+3*ln(2))*exp(5+x)+5*exp(x)^2+(5*x*ln(2)+3)*exp(x)+3*x*ln(2))/((3*exp(x)+3*x*ln(2))*exp(5+x)*ln((exp(x)+x*ln(2))/ln(2))+5*exp(x)^2+(5*x*ln(2)+6+3*x)*exp(x)+(3*x^2+6*x)*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(3 \,{\mathrm e}^{5} {\mathrm e}^{x} \ln \left(\frac{{\mathrm e}^{x}+x \ln \left(2\right)}{\ln \left(2\right)}\right)+3 x +5 \,{\mathrm e}^{x}+6\right)$&$30$\\ risch&$x +\ln \left(\ln \left(\frac{{\mathrm e}^{x}+x \ln \left(2\right)}{\ln \left(2\right)}\right)+\frac{\left(3 x +5 \,{\mathrm e}^{x}+6\right) {\mathrm e}^{-x -5}}{3}\right)$&$35$\\ \hline \end{longtable}"," ",0,"ln(3*exp(5)*exp(x)*ln((exp(x)+x*ln(2))/ln(2))+3*x+5*exp(x)+6)","A"
5499,1,14,14,0.299000," ","int(((-2*x+12)*exp(x)+6*x^2-60*x+150)/(x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$6 x -\frac{2 \,{\mathrm e}^{x}}{x -5}$&$14$\\ risch&$6 x -\frac{2 \,{\mathrm e}^{x}}{x -5}$&$14$\\ norman&$\frac{6 x^{2}-2 \,{\mathrm e}^{x}-150}{x -5}$&$18$\\ \hline \end{longtable}"," ",0,"6*x-2*exp(x)/(x-5)","A"
5500,1,48,21,0.211000," ","int((((-4*exp(x)*x-40)*ln(5*ln(x^2)+exp(x))^3*exp(ln(5*ln(x^2)+exp(x))^4)+5*x*ln(x^2)+exp(x)*x)*exp(-exp(ln(5*ln(x^2)+exp(x))^4)+x)+5*x*ln(x^2)+exp(x)*x)/(5*x*ln(x^2)+exp(x)*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{x} {\mathrm e}^{-{\mathrm e}^{\ln \left(10 \ln \left(x \right)-\frac{5 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}+{\mathrm e}^{x}\right)^{4}}}$&$48$\\ \hline \end{longtable}"," ",0,"x+exp(x)*exp(-exp(ln(10*ln(x)-5/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2+exp(x))^4))","C"
5501,1,17,22,0.035000," ","int(((-4*x^2*exp(x^2)+2)*exp(exp(x^2))+4*x^3)/(exp(exp(x^2))^2-2*x^3*exp(exp(x^2))+x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x}{x^{3}-{\mathrm e}^{{\mathrm e}^{x^{2}}}}$&$17$\\ \hline \end{longtable}"," ",0,"-2*x/(x^3-exp(exp(x^2)))","A"
5502,1,25,26,0.022000," ","int((32*ln(x)^2-64*ln(x)+16*x^3+4*x)*exp((-16*ln(x)^2+4*x^3-x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2} {\mathrm e}^{-\frac{-4 x^{3}+16 \ln \left(x \right)^{2}+x}{x}}$&$25$\\ \hline \end{longtable}"," ",0,"2*x^2*exp(-(-4*x^3+16*ln(x)^2+x)/x)","A"
5503,1,35,28,0.149000," ","int(((20*x^2-160*x+320)*ln(4*x^2)+(40*x^2-340*x+640)*ln(x)-x^3+13*x^2-36*x)/(x^3-8*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +40 \ln \left(2\right) \ln \left(x \right)+5 \ln \left(x^{2}\right)^{2}+\frac{5 \ln \left(x \right) x}{x -4}+20 \ln \left(x \right)^{2}$&$35$\\ norman&$\frac{-80 \ln \left(x \right)^{2}-20 \ln \left(4 x^{2}\right)^{2}+4 x +20 \ln \left(x \right)+5 x \ln \left(4 x^{2}\right)^{2}+20 x \ln \left(x \right)^{2}-x^{2}}{x -4}+5 \ln \left(x \right)$&$59$\\ risch&$40 \ln \left(x \right)^{2}+\frac{20 \ln \left(x \right)}{x -4}-x -10 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+20 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-10 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3}+40 \ln \left(2\right) \ln \left(x \right)+5 \ln \left(x \right)$&$85$\\ \hline \end{longtable}"," ",0,"-x+40*ln(2)*ln(x)+5*ln(x^2)^2+5*ln(x)*x/(x-4)+20*ln(x)^2","A"
5504,1,31,24,0.194000," ","int(((-125*x^4-250*x^3-50*x-25)*exp(5)^2+(-100*x^3-10)*exp(4)*exp(5))/((25*x^4+50*x^3+25*x^2)*exp(5)^2+(20*x^3+20*x^2)*exp(4)*exp(5)+4*x^2*exp(4)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{5 \left(5 x^{3}-1\right) {\mathrm e}^{5}}{x \left(5 x \,{\mathrm e}^{5}+5 \,{\mathrm e}^{5}+2 \,{\mathrm e}^{4}\right)}$&$31$\\ norman&$\frac{-25 x^{3} {\mathrm e}^{5}+5 \,{\mathrm e}^{5}}{x \left(5 x \,{\mathrm e}^{5}+5 \,{\mathrm e}^{5}+2 \,{\mathrm e}^{4}\right)}$&$33$\\ risch&$-5 x +\frac{-\left(4+25 \,{\mathrm e}^{2}+20 \,{\mathrm e}\right) {\mathrm e}^{-1} x +5 \,{\mathrm e}}{\left(5 x \,{\mathrm e}+5 \,{\mathrm e}+2\right) x}$&$41$\\ \hline \end{longtable}"," ",0,"-5/x*(5*x^3-1)*exp(5)/(5*x*exp(5)+5*exp(5)+2*exp(4))","A"
5505,1,25,23,0.074000," ","int((-exp((ln(3)-3)/ln(2))^4-4*x^3)/exp((ln(3)-3)/ln(2))^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3^{-\frac{4}{\ln \left(2\right)}} x^{4} {\mathrm e}^{\frac{12}{\ln \left(2\right)}}-x$&$25$\\ gosper&$-x \left({\mathrm e}^{\frac{4 \ln \left(3\right)-12}{\ln \left(2\right)}}+x^{3}\right) {\mathrm e}^{-\frac{4 \left(\ln \left(3\right)-3\right)}{\ln \left(2\right)}}$&$32$\\ default&${\mathrm e}^{-\frac{4 \left(\ln \left(3\right)-3\right)}{\ln \left(2\right)}} \left(-{\mathrm e}^{\frac{4 \ln \left(3\right)-12}{\ln \left(2\right)}} x -x^{4}\right)$&$35$\\ norman&$\left(-3^{-\frac{1}{\ln \left(2\right)}} {\mathrm e}^{\frac{3}{\ln \left(2\right)}} x^{4}-3^{\frac{3}{\ln \left(2\right)}} {\mathrm e}^{-\frac{9}{\ln \left(2\right)}} x \right) {\mathrm e}^{-\frac{3 \left(\ln \left(3\right)-3\right)}{\ln \left(2\right)}}$&$53$\\ \hline \end{longtable}"," ",0,"-1/(3^(1/ln(2)))^4*x^4*exp(12/ln(2))-x","A"
5506,1,27,24,0.276000," ","int(((36*x^2+12*x-48)*ln(x)-36*x^3-12*x^2+30*x-48)*exp(ln(x)^2+(1-2*x)*ln(x)+x^2)/(9*x^2+24*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{6 x \,x^{1-2 x} {\mathrm e}^{\ln \left(x \right)^{2}+x^{2}}}{4+3 x}$&$27$\\ norman&$-\frac{6 x \,{\mathrm e}^{\ln \left(x \right)^{2}+\left(1-2 x \right) \ln \left(x \right)+x^{2}}}{4+3 x}$&$28$\\ \hline \end{longtable}"," ",0,"-6*x*x^(1-2*x)*exp(ln(x)^2+x^2)/(4+3*x)","A"
5507,1,15,15,0.046000," ","int(1/3*(-2*exp(2*x+8)+3*ln(5))/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\frac{{\mathrm e}^{2 x +8}}{3 \ln \left(5\right)}$&$15$\\ risch&$x -\frac{{\mathrm e}^{2 x +8}}{3 \ln \left(5\right)}$&$15$\\ default&$\frac{-{\mathrm e}^{2 x +8}+3 x \ln \left(5\right)}{3 \ln \left(5\right)}$&$21$\\ derivativedivides&$\frac{-2 \,{\mathrm e}^{2 x +8}+3 \ln \left(5\right) \ln \left({\mathrm e}^{2 x +8}\right)}{6 \ln \left(5\right)}$&$27$\\ \hline \end{longtable}"," ",0,"x-1/3*exp(2*x+8)/ln(5)","A"
5508,1,14,14,0.040000," ","int(1/4*(6*x*ln(2)+2*x+3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 x \ln \left(2\right)}{2}+\frac{x}{2}+\frac{3 \ln \left(x \right)}{4}$&$14$\\ norman&$\left(\frac{3 \ln \left(2\right)}{2}+\frac{1}{2}\right) x +\frac{3 \ln \left(x \right)}{4}$&$14$\\ risch&$\frac{3 x \ln \left(2\right)}{2}+\frac{x}{2}+\frac{3 \ln \left(x \right)}{4}$&$14$\\ \hline \end{longtable}"," ",0,"3/2*x*ln(2)+1/2*x+3/4*ln(x)","A"
5509,1,12,11,0.020000," ","int(-81*exp(x)^2*exp(-27/2*exp(x)^2+15/2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$3 \,{\mathrm e}^{-\frac{27 \,{\mathrm e}^{2 x}}{2}+\frac{15}{2}}$&$12$\\ default&$3 \,{\mathrm e}^{-\frac{27 \,{\mathrm e}^{2 x}}{2}+\frac{15}{2}}$&$12$\\ norman&$3 \,{\mathrm e}^{-\frac{27 \,{\mathrm e}^{2 x}}{2}+\frac{15}{2}}$&$12$\\ risch&$3 \,{\mathrm e}^{-\frac{27 \,{\mathrm e}^{2 x}}{2}+\frac{15}{2}}$&$12$\\ \hline \end{longtable}"," ",0,"3*exp(-27/2*exp(x)^2+15/2)","A"
5510,1,55,33,0.075000," ","int((-2*exp(x)^4-8*x*exp(x)^3+(4*x^2*exp(5)-32*x^2+4*x)*exp(x)^2+((4*x^3+4*x^2)*exp(5)-28*x^3-12*x^2)*exp(x)+(4*x^3-2*x^2)*exp(5)-2*x^4-16*x^3+8*x^2)/(x^2*exp(2)*exp(x)^4+4*x^3*exp(2)*exp(x)^3+(6*x^4-2*x^3)*exp(2)*exp(x)^2+(4*x^5-4*x^4)*exp(2)*exp(x)+(x^6-2*x^5+x^4)*exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{-2}}{x}-\frac{2 \,{\mathrm e}^{-2} {\mathrm e}^{5}}{{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x +x^{2}-x}+\frac{10 \,{\mathrm e}^{-2}}{{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x +x^{2}-x}$&$55$\\ \hline \end{longtable}"," ",0,"2/x*exp(-2)-2*exp(-2)/(exp(2*x)+2*exp(x)*x+x^2-x)*exp(5)+10*exp(-2)/(exp(2*x)+2*exp(x)*x+x^2-x)","A"
5511,1,43,34,0.453000," ","int(((4*(-ln(3)-5*x)*ln(2)^2+2*(ln(3)+5*x)*ln(2))*ln(1/5*ln(3)+x)^2+(4*(-2*x*ln(3)-10*x^2)*ln(2)^2+2*((-4*exp(5)+2*x-4)*ln(3)-20*x*exp(5)+10*x^2-20*x)*ln(2)+(2*exp(5)+2)*ln(3)+10*x*exp(5)+10*x)*ln(1/5*ln(3)+x)+4*(-x^2*ln(3)-5*x^3)*ln(2)^2+2*((-4*x*exp(5)+x^2-4*x)*ln(3)-20*x^2*exp(5)+5*x^3-20*x^2)*ln(2)+(-4*exp(5)^2+(4*x-8)*exp(5)+4*x-4)*ln(3)-20*x*exp(5)^2+(20*x^2-30*x)*exp(5)+20*x^2-10*x)/(4*(ln(3)+5*x)*ln(2)^2*ln(1/5*ln(3)+x)^2+(4*(2*x*ln(3)+10*x^2)*ln(2)^2+2*((4*exp(5)+4)*ln(3)+20*x*exp(5)+20*x)*ln(2))*ln(1/5*ln(3)+x)+4*(x^2*ln(3)+5*x^3)*ln(2)^2+2*((4*x*exp(5)+4*x)*ln(3)+20*x^2*exp(5)+20*x^2)*ln(2)+(4*exp(5)^2+8*exp(5)+4)*ln(3)+20*x*exp(5)^2+40*x*exp(5)+20*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{x}{2 \ln \left(2\right)}-\frac{\left({\mathrm e}^{5}+1\right) x}{2 \ln \left(2\right) \left(\ln \left(2\right) \ln \left(\frac{\ln \left(3\right)}{5}+x \right)+x \ln \left(2\right)+{\mathrm e}^{5}+1\right)}$&$43$\\ norman&$\frac{\left(-\ln \left(2\right)+\frac{1}{2}\right) x^{2}+\left({\mathrm e}^{5}+1\right) \ln \left(\frac{\ln \left(3\right)}{5}+x \right)+\left(-\ln \left(2\right)+\frac{1}{2}\right) x \ln \left(\frac{\ln \left(3\right)}{5}+x \right)+\frac{{\mathrm e}^{10}+2 \,{\mathrm e}^{5}+1}{\ln \left(2\right)}}{\ln \left(2\right) \ln \left(\frac{\ln \left(3\right)}{5}+x \right)+x \ln \left(2\right)+{\mathrm e}^{5}+1}$&$75$\\ \hline \end{longtable}"," ",0,"-x+1/2*x/ln(2)-1/2*(exp(5)+1)*x/ln(2)/(ln(2)*ln(1/5*ln(3)+x)+x*ln(2)+exp(5)+1)","A"
5512,1,15,15,0.076000," ","int((2*ln(5)+10*x)/(x*ln(5)*ln(-1/5*x)+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(\ln \left(5\right) \ln \left(-\frac{x}{5}\right)+5 x \right)$&$15$\\ risch&$2 \ln \left(\ln \left(-\frac{x}{5}\right)+\frac{5 x}{\ln \left(5\right)}\right)$&$16$\\ \hline \end{longtable}"," ",0,"2*ln(ln(5)*ln(-1/5*x)+5*x)","A"
5513,1,23,20,0.112000," ","int(((-x^4+128*x^2-6*x-4096)*exp(24)^2+(-4*x^2+256)*exp(24)-4)/((x^4-128*x^2+4096)*exp(24)^2+(4*x^2-256)*exp(24)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{3 \,{\mathrm e}^{24}}{{\mathrm e}^{24} x^{2}-64 \,{\mathrm e}^{24}+2}$&$23$\\ gosper&$-\frac{{\mathrm e}^{24} x^{3}-64 x \,{\mathrm e}^{24}-3 \,{\mathrm e}^{24}+2 x}{{\mathrm e}^{24} x^{2}-64 \,{\mathrm e}^{24}+2}$&$36$\\ \hline \end{longtable}"," ",0,"-x+3*exp(24)/(exp(24)*x^2-64*exp(24)+2)","A"
5514,1,6,7,0.015000," ","int(-exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x \,{\mathrm e}$&$6$\\ norman&$-x \,{\mathrm e}$&$6$\\ risch&$-x \,{\mathrm e}$&$6$\\ \hline \end{longtable}"," ",0,"-x*exp(1)","A"
5515,1,19,18,0.224000," ","int(1/40*(x^2+x+1)*exp((x^2-1)/x)*exp(-1/2*x*exp((x^2-1)/x)+1/10)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{{\mathrm e}^{-\frac{x \,{\mathrm e}^{\frac{x^{2}-1}{x}}}{2}+\frac{1}{10}}}{20}$&$19$\\ risch&$-\frac{{\mathrm e}^{-\frac{x \,{\mathrm e}^{\frac{\left(x -1\right) \left(x +1\right)}{x}}}{2}+\frac{1}{10}}}{20}$&$20$\\ \hline \end{longtable}"," ",0,"-1/20*exp(-1/2*x*exp((x^2-1)/x)+1/10)","A"
5516,1,35,23,0.148000," ","int(1/9*((27*x^3+18*x^2+9)*exp(3)*ln(2)-x*exp(5))*exp(1/9*((9*x^3+9*x^2)*exp(3)*ln(2)-x*exp(5))/exp(3)/ln(2))*exp(x*exp(1/9*((9*x^3+9*x^2)*exp(3)*ln(2)-x*exp(5))/exp(3)/ln(2)))/exp(3)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x \,{\mathrm e}^{\frac{x \left(9 \,{\mathrm e}^{3} \ln \left(2\right) x^{2}+9 \,{\mathrm e}^{3} \ln \left(2\right) x -{\mathrm e}^{5}\right) {\mathrm e}^{-3}}{9 \ln \left(2\right)}}}$&$35$\\ norman&${\mathrm e}^{x \,{\mathrm e}^{\frac{\left(\left(9 x^{3}+9 x^{2}\right) {\mathrm e}^{3} \ln \left(2\right)-x \,{\mathrm e}^{5}\right) {\mathrm e}^{-3}}{9 \ln \left(2\right)}}}$&$37$\\ \hline \end{longtable}"," ",0,"exp(x*exp(1/9*x*(9*exp(3)*ln(2)*x^2+9*exp(3)*ln(2)*x-exp(5))*exp(-3)/ln(2)))","A"
5517,1,9,8,0.017000," ","int((-2+ln(x^2))/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{\ln \left(x^{2}\right)}$&$9$\\ risch&$\frac{x}{\ln \left(x^{2}\right)}$&$9$\\ \hline \end{longtable}"," ",0,"x/ln(x^2)","A"
5518,1,21,24,0.031000," ","int((-x^3+5*x^2-6*x+4)/(x^3-3*x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -2 \ln \left(x -1\right)+2 \ln \left(x \right)+2 \ln \left(x -2\right)$&$21$\\ norman&$-x -2 \ln \left(x -1\right)+2 \ln \left(x \right)+2 \ln \left(x -2\right)$&$21$\\ risch&$-x -2 \ln \left(x -1\right)+2 \ln \left(x^{2}-2 x \right)$&$21$\\ \hline \end{longtable}"," ",0,"-x-2*ln(x-1)+2*ln(x)+2*ln(x-2)","A"
5519,1,47,18,0.042000," ","int((2*x^2-2*x)*exp(x)^2+(4*x^3+28*x^2+12*x-20)*exp(x)+16*x^3+120*x^2+200*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}-2 x +1\right) {\mathrm e}^{2 x}+\left(4 x^{3}+16 x^{2}-20 x \right) {\mathrm e}^{x}+4 x^{4}+40 x^{3}+100 x^{2}$&$47$\\ default&${\mathrm e}^{2 x} x^{2}-2 x \,{\mathrm e}^{2 x}+{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x} x^{3}+16 \,{\mathrm e}^{x} x^{2}-20 \,{\mathrm e}^{x} x +100 x^{2}+40 x^{3}+4 x^{4}$&$55$\\ norman&${\mathrm e}^{2 x} x^{2}-2 x \,{\mathrm e}^{2 x}+{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x} x^{3}+16 \,{\mathrm e}^{x} x^{2}-20 \,{\mathrm e}^{x} x +100 x^{2}+40 x^{3}+4 x^{4}$&$55$\\ \hline \end{longtable}"," ",0,"(x^2-2*x+1)*exp(2*x)+(4*x^3+16*x^2-20*x)*exp(x)+4*x^4+40*x^3+100*x^2","B"
5520,1,190,23,0.194000," ","int((8*(-512*x-16)*exp(1)*ln(2)^3+4*(24576*x^3+2304*x^2+4656*x+144)*exp(1)*ln(2)^2+2*(-393216*x^5-61440*x^4-150528*x^3-13872*x^2-14112*x-432)*exp(1)*ln(2)+(2097152*x^7+458752*x^6+1216512*x^5+185600*x^4+230416*x^3+20880*x^2+14256*x+432)*exp(1)+2)/(32*exp(1)*ln(2)^4+8*(-128*x^2-8*x-24)*exp(1)*ln(2)^3+4*(3072*x^4+384*x^3+1164*x^2+72*x+108)*exp(1)*ln(2)^2+2*(-32768*x^6-6144*x^5-18816*x^4-2312*x^3-3528*x^2-216*x-216)*exp(1)*ln(2)+(131072*x^8+32768*x^7+101376*x^6+18560*x^5+28802*x^4+3480*x^3+3564*x^2+216*x+162)*exp(1)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(131072 x^{8} {\mathrm e}+32768 x^{7} {\mathrm e}+\left(-65536 \,{\mathrm e} \ln \left(2\right)+101376 \,{\mathrm e}\right) x^{6}+\left(-12288 \,{\mathrm e} \ln \left(2\right)+18560 \,{\mathrm e}\right) x^{5}+\left(12288 \,{\mathrm e} \ln \left(2\right)^{2}-37632 \,{\mathrm e} \ln \left(2\right)+28802 \,{\mathrm e}\right) x^{4}+\left(1536 \,{\mathrm e} \ln \left(2\right)^{2}-4624 \,{\mathrm e} \ln \left(2\right)+3480 \,{\mathrm e}\right) x^{3}+\left(-1024 \,{\mathrm e} \ln \left(2\right)^{3}+4656 \,{\mathrm e} \ln \left(2\right)^{2}-7056 \,{\mathrm e} \ln \left(2\right)+3564 \,{\mathrm e}\right) x^{2}+\left(-64 \,{\mathrm e} \ln \left(2\right)^{3}+288 \,{\mathrm e} \ln \left(2\right)^{2}-432 \,{\mathrm e} \ln \left(2\right)+216 \,{\mathrm e}+1\right) x +32 \,{\mathrm e} \ln \left(2\right)^{4}-192 \,{\mathrm e} \ln \left(2\right)^{3}+432 \,{\mathrm e} \ln \left(2\right)^{2}-432 \,{\mathrm e} \ln \left(2\right)+162 \,{\mathrm e}\right)$&$190$\\ default&$2 \ln \left(-432 x \,{\mathrm e} \ln \left(2\right)+x +4656 x^{2} {\mathrm e} \ln \left(2\right)^{2}+131072 x^{8} {\mathrm e}+32 \,{\mathrm e} \ln \left(2\right)^{4}+32768 x^{7} {\mathrm e}+162 \,{\mathrm e}+288 \ln \left(2\right)^{2} {\mathrm e} x +18560 x^{5} {\mathrm e}-432 \,{\mathrm e} \ln \left(2\right)+432 \,{\mathrm e} \ln \left(2\right)^{2}-65536 \,{\mathrm e} \ln \left(2\right) x^{6}+12288 \,{\mathrm e} \ln \left(2\right)^{2} x^{4}-12288 \,{\mathrm e} \ln \left(2\right) x^{5}-1024 \,{\mathrm e} \ln \left(2\right)^{3} x^{2}+1536 \,{\mathrm e} \ln \left(2\right)^{2} x^{3}-37632 \,{\mathrm e} \ln \left(2\right) x^{4}-64 \,{\mathrm e} \ln \left(2\right)^{3} x -4624 \,{\mathrm e} \ln \left(2\right) x^{3}-7056 \,{\mathrm e} \ln \left(2\right) x^{2}+28802 x^{4} {\mathrm e}+216 x \,{\mathrm e}+3564 x^{2} {\mathrm e}+3480 x^{3} {\mathrm e}-192 \,{\mathrm e} \ln \left(2\right)^{3}+101376 x^{6} {\mathrm e}\right)$&$208$\\ norman&$2 \ln \left(-432 x \,{\mathrm e} \ln \left(2\right)+x +4656 x^{2} {\mathrm e} \ln \left(2\right)^{2}+131072 x^{8} {\mathrm e}+32 \,{\mathrm e} \ln \left(2\right)^{4}+32768 x^{7} {\mathrm e}+162 \,{\mathrm e}+288 \ln \left(2\right)^{2} {\mathrm e} x +18560 x^{5} {\mathrm e}-432 \,{\mathrm e} \ln \left(2\right)+432 \,{\mathrm e} \ln \left(2\right)^{2}-65536 \,{\mathrm e} \ln \left(2\right) x^{6}+12288 \,{\mathrm e} \ln \left(2\right)^{2} x^{4}-12288 \,{\mathrm e} \ln \left(2\right) x^{5}-1024 \,{\mathrm e} \ln \left(2\right)^{3} x^{2}+1536 \,{\mathrm e} \ln \left(2\right)^{2} x^{3}-37632 \,{\mathrm e} \ln \left(2\right) x^{4}-64 \,{\mathrm e} \ln \left(2\right)^{3} x -4624 \,{\mathrm e} \ln \left(2\right) x^{3}-7056 \,{\mathrm e} \ln \left(2\right) x^{2}+28802 x^{4} {\mathrm e}+216 x \,{\mathrm e}+3564 x^{2} {\mathrm e}+3480 x^{3} {\mathrm e}-192 \,{\mathrm e} \ln \left(2\right)^{3}+101376 x^{6} {\mathrm e}\right)$&$208$\\ \hline \end{longtable}"," ",0,"2*ln(131072*x^8*exp(1)+32768*x^7*exp(1)+(-65536*exp(1)*ln(2)+101376*exp(1))*x^6+(-12288*exp(1)*ln(2)+18560*exp(1))*x^5+(12288*exp(1)*ln(2)^2-37632*exp(1)*ln(2)+28802*exp(1))*x^4+(1536*exp(1)*ln(2)^2-4624*exp(1)*ln(2)+3480*exp(1))*x^3+(-1024*exp(1)*ln(2)^3+4656*exp(1)*ln(2)^2-7056*exp(1)*ln(2)+3564*exp(1))*x^2+(-64*exp(1)*ln(2)^3+288*exp(1)*ln(2)^2-432*exp(1)*ln(2)+216*exp(1)+1)*x+32*exp(1)*ln(2)^4-192*exp(1)*ln(2)^3+432*exp(1)*ln(2)^2-432*exp(1)*ln(2)+162*exp(1))","B"
5521,1,18,23,0.072000," ","int((exp(12-x)*exp(x)-exp(12-x)+4*x^2+8*x)/exp(12-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\left(4 x^{2}+{\mathrm e}^{12}\right) {\mathrm e}^{x -12}$&$18$\\ norman&$\left({\mathrm e}^{2 x}-{\mathrm e}^{x} x +4 \,{\mathrm e}^{-12} x^{2} {\mathrm e}^{2 x}\right) {\mathrm e}^{-x}$&$29$\\ default&$-x +8 \,{\mathrm e}^{-12} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+4 \,{\mathrm e}^{-12} \left({\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right)+{\mathrm e}^{x}$&$44$\\ meijerg&$-{\mathrm e}^{x -x \,{\mathrm e}^{-12}+12} \left(1-{\mathrm e}^{x \,{\mathrm e}^{-12}}\right)+\frac{{\mathrm e}^{x -x \,{\mathrm e}^{-12}+12} \left(1-{\mathrm e}^{x \,{\mathrm e}^{-12} \left(-{\mathrm e}^{12}+1\right)}\right)}{-{\mathrm e}^{12}+1}-4 \,{\mathrm e}^{24+x -x \,{\mathrm e}^{-12}} \left(2-\frac{\left(3 x^{2} {\mathrm e}^{-24}-6 x \,{\mathrm e}^{-12}+6\right) {\mathrm e}^{x \,{\mathrm e}^{-12}}}{3}\right)+8 \,{\mathrm e}^{x -x \,{\mathrm e}^{-12}+12} \left(1-\frac{\left(2-2 x \,{\mathrm e}^{-12}\right) {\mathrm e}^{x \,{\mathrm e}^{-12}}}{2}\right)$&$116$\\ \hline \end{longtable}"," ",0,"-x+(4*x^2+exp(12))*exp(x-12)","A"
5522,1,10,15,0.007000," ","int(12*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$6 x^{2}-x$&$10$\\ default&$6 x^{2}-x$&$10$\\ norman&$6 x^{2}-x$&$10$\\ risch&$6 x^{2}-x$&$10$\\ \hline \end{longtable}"," ",0,"6*x^2-x","A"
5523,1,49,26,0.084000," ","int(((2*x^3+6*x^2+6*x)*exp(x)^2*exp(2*x)^2+(-2*x^3-18*x^2)*exp(x)^2*exp(2*x)+(-2*x^5-4*x^4+12*x^3)*exp(x)^2)/(25*x^3+225*x^2+675*x+675)/exp(2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x}{25}+\frac{-\frac{54 x}{25}-\frac{108}{25}}{x^{2}+6 x +9}+\frac{x^{2} {\mathrm e}^{2 x}}{25 \left(3+x \right)^{2}}+\frac{x^{4} {\mathrm e}^{-2 x}}{25 \left(3+x \right)^{2}}$&$49$\\ default&$-\frac{54}{25 \left(3+x \right)}+\frac{54}{25 \left(3+x \right)^{2}}-\frac{2 x}{25}-\frac{6 \,{\mathrm e}^{-2 x}}{25}-\frac{162 \,{\mathrm e}^{-2 x} \left(4 x +11\right)}{25 \left(x^{2}+6 x +9\right)}+\frac{\left(2 x -17\right) {\mathrm e}^{-2 x}}{25}-\frac{54 \,{\mathrm e}^{-2 x} \left(14 x +39\right)}{25 \left(x^{2}+6 x +9\right)}+\frac{\left(x^{2}-8 x +50\right) {\mathrm e}^{-2 x}}{25}+\frac{81 \,{\mathrm e}^{-2 x} \left(16 x +45\right)}{25 \left(x^{2}+6 x +9\right)}-\frac{6 \,{\mathrm e}^{2 x}}{25 \left(3+x \right)}+\frac{9 \,{\mathrm e}^{2 x}}{25 \left(3+x \right)^{2}}+\frac{{\mathrm e}^{2 x}}{25}$&$141$\\ \hline \end{longtable}"," ",0,"-2/25*x+(-54/25*x-108/25)/(x^2+6*x+9)+1/25*x^2/(3+x)^2*exp(2*x)+1/25*x^4/(3+x)^2*exp(-2*x)","A"
5524,1,24,18,0.066000," ","int(1/4*((x^3+9*x^2+21*x+9)*ln(3)^2+(2*x^4+22*x^3+72*x^2+78*x+18)*ln(3)+x^5+13*x^4+54*x^3+90*x^2+57*x+9)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{x} \left(x \ln \left(3\right)+x^{2}+3 \ln \left(3\right)+4 x +3\right)^{2} x}{4}$&$24$\\ norman&$\left(\frac{\ln \left(3\right)}{2}+2\right) x^{4} {\mathrm e}^{x}+\left(\frac{\ln \left(3\right)^{2}}{4}+\frac{7 \ln \left(3\right)}{2}+\frac{11}{2}\right) x^{3} {\mathrm e}^{x}+\left(\frac{3 \ln \left(3\right)^{2}}{2}+\frac{15 \ln \left(3\right)}{2}+6\right) x^{2} {\mathrm e}^{x}+\left(\frac{9 \ln \left(3\right)^{2}}{4}+\frac{9 \ln \left(3\right)}{2}+\frac{9}{4}\right) x \,{\mathrm e}^{x}+\frac{x^{5} {\mathrm e}^{x}}{4}$&$73$\\ risch&$\frac{\left(x^{3} \ln \left(3\right)^{2}+2 x^{4} \ln \left(3\right)+x^{5}+6 x^{2} \ln \left(3\right)^{2}+14 x^{3} \ln \left(3\right)+8 x^{4}+9 x \ln \left(3\right)^{2}+30 x^{2} \ln \left(3\right)+22 x^{3}+18 x \ln \left(3\right)+24 x^{2}+9 x \right) {\mathrm e}^{x}}{4}$&$77$\\ default&$\frac{x^{5} {\mathrm e}^{x}}{4}+2 \,{\mathrm e}^{x} x^{4}+\frac{11 \,{\mathrm e}^{x} x^{3}}{2}+6 \,{\mathrm e}^{x} x^{2}+\frac{9 \,{\mathrm e}^{x} x}{4}+\frac{{\mathrm e}^{x} x^{3} \ln \left(3\right)^{2}}{4}+\frac{3 \,{\mathrm e}^{x} x^{2} \ln \left(3\right)^{2}}{2}+\frac{9 x \ln \left(3\right)^{2} {\mathrm e}^{x}}{4}+\frac{9 x \ln \left(3\right) {\mathrm e}^{x}}{2}+\frac{15 x^{2} \ln \left(3\right) {\mathrm e}^{x}}{2}+\frac{7 \,{\mathrm e}^{x} x^{3} \ln \left(3\right)}{2}+\frac{{\mathrm e}^{x} x^{4} \ln \left(3\right)}{2}$&$100$\\ meijerg&$\frac{111}{4}+\frac{9 \,{\mathrm e}^{x}}{4}-\left(-\frac{\ln \left(3\right)^{2}}{4}-\frac{11 \ln \left(3\right)}{2}-\frac{27}{2}\right) \left(6-\frac{\left(-4 x^{3}+12 x^{2}-24 x +24\right) {\mathrm e}^{x}}{4}\right)-\left(\frac{9 \ln \left(3\right)^{2}}{4}+18 \ln \left(3\right)+\frac{45}{2}\right) \left(2-\frac{\left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}}{3}\right)-\left(-\frac{21 \ln \left(3\right)^{2}}{4}-\frac{39 \ln \left(3\right)}{2}-\frac{57}{4}\right) \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)-\frac{\left(-6 x^{5}+30 x^{4}-120 x^{3}+360 x^{2}-720 x +720\right) {\mathrm e}^{x}}{24}-\left(\frac{\ln \left(3\right)}{2}+\frac{13}{4}\right) \left(24-\frac{\left(5 x^{4}-20 x^{3}+60 x^{2}-120 x +120\right) {\mathrm e}^{x}}{5}\right)-\frac{9 \ln \left(3\right)^{2} \left(1-{\mathrm e}^{x}\right)}{4}-\frac{9 \ln \left(3\right) \left(1-{\mathrm e}^{x}\right)}{2}$&$182$\\ \hline \end{longtable}"," ",0,"1/4*exp(x)*(x*ln(3)+x^2+3*ln(3)+4*x+3)^2*x","A"
5525,1,22,27,0.036000," ","int(((-x^2+24*x)*ln(x^2)+x^3-23*x^2-27*x+50)/((x^2-25*x)*ln(x^2)-x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -\ln \left(x -25\right)-\ln \left(-\ln \left(x^{2}\right)+x \right)$&$22$\\ risch&$-x -\ln \left(x -25\right)-\ln \left(\ln \left(x^{2}\right)-x \right)$&$22$\\ \hline \end{longtable}"," ",0,"-x-ln(x-25)-ln(-ln(x^2)+x)","A"
5526,1,12,13,0.059000," ","int(((4*x-2)*exp(x)^2+6)/(exp(x)^4-6*exp(x)^2+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{2 x}{{\mathrm e}^{2 x}-3}$&$12$\\ risch&$-\frac{2 x}{{\mathrm e}^{2 x}-3}$&$12$\\ default&$\frac{2 \ln \left({\mathrm e}^{x}\right)}{3}-\frac{2 x \,{\mathrm e}^{2 x}}{3 \left({\mathrm e}^{2 x}-3\right)}$&$22$\\ \hline \end{longtable}"," ",0,"-2*x/(exp(x)^2-3)","A"
5527,1,25,22,0.136000," ","int((12*x+3)*ln(2)*exp(-4*x+1)/(exp(-4*x+1)^2-8*x*exp(-4*x+1)+16*x^2)/exp(exp(3))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 \ln \left(2\right) {\mathrm e}^{-2 \,{\mathrm e}^{3}} x}{4 x -{\mathrm e}^{-4 x +1}}$&$25$\\ norman&$-\frac{3 \,{\mathrm e}^{-2 \,{\mathrm e}^{3}} \ln \left(2\right) {\mathrm e}^{-4 x +1}}{4 \left(4 x -{\mathrm e}^{-4 x +1}\right)}$&$30$\\ \hline \end{longtable}"," ",0,"-3*ln(2)*exp(-2*exp(3))*x/(4*x-exp(-4*x+1))","A"
5528,1,20,15,0.028000," ","int(((10*x+5)*exp(x)+180*x)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x^{2}+5 x +\left(-180 x -180\right) {\mathrm e}^{-x}$&$20$\\ default&$5 x^{2}+5 x -180 x \,{\mathrm e}^{-x}-180 \,{\mathrm e}^{-x}$&$23$\\ norman&$\left(-180-180 x +5 \,{\mathrm e}^{x} x +5 \,{\mathrm e}^{x} x^{2}\right) {\mathrm e}^{-x}$&$23$\\ \hline \end{longtable}"," ",0,"5*x^2+5*x+(-180*x-180)*exp(-x)","A"
5529,1,22674,29,2.695000," ","int((((x+1)*ln(x^2)^2-2*exp(x^2)*ln(x^2))*ln(((x^2+2*x+1)*ln(x^2)^2+(-4*x-4)*exp(x^2)*ln(x^2)+4*exp(x^2)^2)/ln(x^2)^2)^2+(((-2*x-2)*exp(3)+4*x)*ln(x^2)^2+(4*exp(3)-16*x^2)*exp(x^2)*ln(x^2)+16*exp(x^2))*ln(((x^2+2*x+1)*ln(x^2)^2+(-4*x-4)*exp(x^2)*ln(x^2)+4*exp(x^2)^2)/ln(x^2)^2)+((x+1)*exp(3)^2-4*x*exp(3))*ln(x^2)^2+(-2*exp(3)^2+16*x^2*exp(3))*exp(x^2)*ln(x^2)-16*exp(x^2)*exp(3))/((x+1)*ln(x^2)^2-2*exp(x^2)*ln(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$22674$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
5530,1,32,30,0.257000," ","int(((5*exp(4)+5*x^5-10*x^4-5*x^3+5*x^2+5*x+35)*ln(exp(4)+x^5-2*x^4-x^3+x^2+x+7)+5*x^2*exp(4)+5*x^7-10*x^6-30*x^5+45*x^4+20*x^3+25*x^2-5*x)/(x^2*exp(4)+x^7-2*x^6-x^5+x^4+x^3+7*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \ln \left({\mathrm e}^{4}+x^{5}-2 x^{4}-x^{3}+x^{2}+x +7\right)}{x}+5 x$&$32$\\ norman&$\frac{5 x^{2}-5 \ln \left({\mathrm e}^{4}+x^{5}-2 x^{4}-x^{3}+x^{2}+x +7\right)}{x}$&$35$\\ default&$-\frac{5 \ln \left({\mathrm e}^{4}+x^{5}-2 x^{4}-x^{3}+x^{2}+x +7\right)}{x}+\frac{5 \left(\munderset{\textit{\_R} =\RootOf \left({\mathrm e}^{4}+\textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}+\textit{\_Z} +7\right)}{\sum}\frac{\left(-\textit{\_R}^{4}+\left(5 \,{\mathrm e}^{4}+37\right) \textit{\_R}^{3}+\left(-8 \,{\mathrm e}^{4}-55\right) \textit{\_R}^{2}+\left(-3 \,{\mathrm e}^{4}-22\right) \textit{\_R} +2 \,{\mathrm e}^{4}+13\right) \ln \left(x -\textit{\_R} \right)}{5 \textit{\_R}^{4}-8 \textit{\_R}^{3}-3 \textit{\_R}^{2}+2 \textit{\_R} +1}\right)}{{\mathrm e}^{4}+7}+5 x +\frac{5 \left(\munderset{\textit{\_R} =\RootOf \left({\mathrm e}^{4}+\textit{\_Z}^{5}-2 \textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}+\textit{\_Z} +7\right)}{\sum}\frac{\left(\textit{\_R}^{4}+\left(-5 \,{\mathrm e}^{4}-37\right) \textit{\_R}^{3}+\left(8 \,{\mathrm e}^{4}+55\right) \textit{\_R}^{2}+\left(3 \,{\mathrm e}^{4}+22\right) \textit{\_R} -2 \,{\mathrm e}^{4}-13\right) \ln \left(x -\textit{\_R} \right)}{5 \textit{\_R}^{4}-8 \textit{\_R}^{3}-3 \textit{\_R}^{2}+2 \textit{\_R} +1}\right)}{{\mathrm e}^{4}+7}$&$232$\\ \hline \end{longtable}"," ",0,"-5/x*ln(exp(4)+x^5-2*x^4-x^3+x^2+x+7)+5*x","A"
5531,1,24,24,0.036000," ","int(((-2*ln(x)+2*exp(x)+2*exp(4)-2*x)*ln(-ln(x)+exp(x)+exp(4)-x)+(-x^2+2*x)*exp(x)+x^2-x-2)/(x^2*ln(x)-exp(x)*x^2-x^2*exp(4)+x^3)/ln(-ln(x)+exp(x)+exp(4)-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x -2}{x \ln \left(-\ln \left(x \right)+{\mathrm e}^{x}+{\mathrm e}^{4}-x \right)}$&$24$\\ \hline \end{longtable}"," ",0,"-(x-2)/x/ln(-ln(x)+exp(x)+exp(4)-x)","A"
5532,1,22,25,0.033000," ","int(((-2*x*exp(1)+2*x)*exp(3)+8*exp(1))/exp(1)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$8 \,{\mathrm e}^{-3} x -\left({\mathrm e}-1\right) {\mathrm e}^{-1} x^{2}$&$22$\\ risch&${\mathrm e}^{-3} {\mathrm e}^{2} x^{2}-{\mathrm e}^{-3} x^{2} {\mathrm e}^{3}+8 \,{\mathrm e}^{-3} x$&$24$\\ gosper&$-x \left(x \,{\mathrm e} \,{\mathrm e}^{3}-x \,{\mathrm e}^{3}-8 \,{\mathrm e}\right) {\mathrm e}^{-1} {\mathrm e}^{-3}$&$28$\\ default&${\mathrm e}^{-1} {\mathrm e}^{-3} \left({\mathrm e}^{3} \left(-x^{2} {\mathrm e}+x^{2}\right)+8 x \,{\mathrm e}\right)$&$30$\\ \hline \end{longtable}"," ",0,"8*x/exp(3)-(exp(1)-1)/exp(1)*x^2","A"
5533,1,8,23,0.291000," ","int(5/(x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{5}{x -1}$&$8$\\ default&$-\frac{5}{x -1}$&$8$\\ norman&$-\frac{5}{x -1}$&$8$\\ risch&$-\frac{5}{x -1}$&$8$\\ meijerg&$\frac{5 x}{1-x}$&$11$\\ \hline \end{longtable}"," ",0,"-5/(x-1)","A"
5534,1,11,10,0.056000," ","int(-128*x/(4096*exp(16)^2+128*x^2*exp(16)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{{\mathrm e}^{16}+\frac{x^{2}}{64}}$&$11$\\ gosper&$\frac{64}{x^{2}+64 \,{\mathrm e}^{16}}$&$13$\\ norman&$\frac{64}{x^{2}+64 \,{\mathrm e}^{16}}$&$13$\\ \hline \end{longtable}"," ",0,"1/(exp(16)+1/64*x^2)","A"
5535,1,150,24,0.183000," ","int(((-8*exp(1-x)+74)*ln(x)*ln(-4*ln(x)/(4*exp(1-x)-37))*ln(ln(-4*ln(x)/(4*exp(1-x)-37)))+(16*exp(1-x)-148)*ln(x)*ln(-4*ln(x)/(4*exp(1-x)-37))+8*x*exp(1-x)*ln(x)+8*exp(1-x)-74)/(20*x^2*exp(1-x)-185*x^2)/ln(x)/ln(-4*ln(x)/(4*exp(1-x)-37)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(i \pi +\ln \left(\ln \left(x \right)\right)-\ln \left({\mathrm e}^{1-x}-\frac{37}{4}\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{{\mathrm e}^{1-x}-\frac{37}{4}}\right) \left(-\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{{\mathrm e}^{1-x}-\frac{37}{4}}\right)+\mathrm{csgn}\left(i \ln \left(x \right)\right)\right) \left(-\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{{\mathrm e}^{1-x}-\frac{37}{4}}\right)+\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{1-x}-\frac{37}{4}}\right)\right)}{2}+i \pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{{\mathrm e}^{1-x}-\frac{37}{4}}\right)^{2} \left(\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{{\mathrm e}^{1-x}-\frac{37}{4}}\right)-1\right)\right)}{5 x}-\frac{4}{5 x}$&$150$\\ \hline \end{longtable}"," ",0,"2/5/x*ln(I*Pi+ln(ln(x))-ln(exp(1-x)-37/4)-1/2*I*Pi*csgn(I*ln(x)/(exp(1-x)-37/4))*(-csgn(I*ln(x)/(exp(1-x)-37/4))+csgn(I*ln(x)))*(-csgn(I*ln(x)/(exp(1-x)-37/4))+csgn(I/(exp(1-x)-37/4)))+I*Pi*csgn(I*ln(x)/(exp(1-x)-37/4))^2*(csgn(I*ln(x)/(exp(1-x)-37/4))-1))-4/5/x","C"
5536,1,35,18,0.058000," ","int(1/2*((2*x^2*exp(3)-1)*ln(x^2)-2*x^2*exp(3)+5)/x^2/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{-3} \left(2 x \,{\mathrm e}^{3} \ln \left(x^{2}\right)-6 x \,{\mathrm e}^{3}+\frac{\ln \left(x^{2}\right)}{x}-\frac{3}{x}\right)}{2}$&$35$\\ norman&$\frac{x^{2} \ln \left(x^{2}\right)-3 x^{2}-\frac{3 \,{\mathrm e}^{-3}}{2}+\frac{{\mathrm e}^{-3} \ln \left(x^{2}\right)}{2}}{x}$&$35$\\ risch&$\frac{{\mathrm e}^{-3} \left(2 x^{2} {\mathrm e}^{3}+1\right) \ln \left(x^{2}\right)}{2 x}-\frac{3 \,{\mathrm e}^{-3} \left(2 x^{2} {\mathrm e}^{3}+1\right)}{2 x}$&$38$\\ \hline \end{longtable}"," ",0,"1/2/exp(3)*(2*x*exp(3)*ln(x^2)-6*x*exp(3)+ln(x^2)/x-3/x)","A"
5537,1,37,29,0.178000," ","int(((x^2+4*x+4)*ln(x)*exp((ln(3)^2*ln(ln(x))^2+2*(x^2+2*x)*ln(2))/(2+x))+5*x*ln(3)^2*ln(x)*ln(ln(x))^2+(-10*x-20)*ln(3)^2*ln(ln(x))+2*(-5*x^3-20*x^2-20*x)*ln(2)*ln(x))/(x^3+4*x^2+4*x)/ln(x)/exp((ln(3)^2*ln(ln(x))^2+2*(x^2+2*x)*ln(2))/(2+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+5 \,{\mathrm e}^{-\frac{\ln \left(3\right)^{2} \ln \left(\ln \left(x \right)\right)^{2}+2 x^{2} \ln \left(2\right)+4 x \ln \left(2\right)}{2+x}}$&$37$\\ \hline \end{longtable}"," ",0,"ln(x)+5*exp(-(ln(3)^2*ln(ln(x))^2+2*x^2*ln(2)+4*x*ln(2))/(2+x))","A"
5538,1,29,31,0.217000," ","int(((3*x^3+5*x)*ln(ln(18)/x)+x^5-4*x^3-16*x^2+5*x-40)/(x^7+10*x^5+25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4-x^{3}-\ln \left(\frac{\ln \left(18\right)}{x}\right) x}{x^{2} \left(x^{2}+5\right)}$&$29$\\ risch&$-\frac{\ln \left(\frac{\ln \left(2\right)+2 \ln \left(3\right)}{x}\right)}{x \left(x^{2}+5\right)}-\frac{x^{3}-4}{x^{2} \left(x^{2}+5\right)}$&$43$\\ derivativedivides&$-\ln \left(18\right) \left(-\frac{4}{5 \ln \left(18\right) x^{2}}+\frac{\ln \left(18\right)}{\left(\ln \left(18\right)^{2}+\frac{5 \ln \left(18\right)^{2}}{x^{2}}\right) x}-\frac{4 \ln \left(18\right)}{25 \left(\ln \left(18\right)^{2}+\frac{5 \ln \left(18\right)^{2}}{x^{2}}\right)}+\frac{\ln \left(\frac{\ln \left(18\right)}{x}\right)}{5 \ln \left(18\right) x}+\frac{i \ln \left(18\right) \ln \left(\frac{\ln \left(18\right)}{x}\right) \ln \left(\frac{\frac{i \ln \left(18\right) \sqrt{5}}{x}+\ln \left(18\right)}{\ln \left(18\right)}\right) \sqrt{5}}{50 \ln \left(18\right)^{2}+\frac{250 \ln \left(18\right)^{2}}{x^{2}}}+\frac{i \ln \left(18\right) \ln \left(\frac{\ln \left(18\right)}{x}\right) \ln \left(\frac{\frac{i \ln \left(18\right) \sqrt{5}}{x}+\ln \left(18\right)}{\ln \left(18\right)}\right) \sqrt{5}}{10 \left(\ln \left(18\right)^{2}+\frac{5 \ln \left(18\right)^{2}}{x^{2}}\right) x^{2}}-\frac{i \ln \left(18\right) \ln \left(\frac{\ln \left(18\right)}{x}\right) \ln \left(-\frac{\frac{i \ln \left(18\right) \sqrt{5}}{x}-\ln \left(18\right)}{\ln \left(18\right)}\right) \sqrt{5}}{50 \left(\ln \left(18\right)^{2}+\frac{5 \ln \left(18\right)^{2}}{x^{2}}\right)}-\frac{i \ln \left(18\right) \ln \left(\frac{\ln \left(18\right)}{x}\right) \ln \left(-\frac{\frac{i \ln \left(18\right) \sqrt{5}}{x}-\ln \left(18\right)}{\ln \left(18\right)}\right) \sqrt{5}}{10 \left(\ln \left(18\right)^{2}+\frac{5 \ln \left(18\right)^{2}}{x^{2}}\right) x^{2}}-\frac{\ln \left(\frac{\ln \left(18\right)}{x}\right) \ln \left(18\right)}{5 x \left(\ln \left(18\right)^{2}+\frac{5 \ln \left(18\right)^{2}}{x^{2}}\right)}-\frac{i \sqrt{5}\, \ln \left(\frac{\ln \left(18\right)}{x}\right) \ln \left(\frac{\frac{i \ln \left(18\right) \sqrt{5}}{x}+\ln \left(18\right)}{\ln \left(18\right)}\right)}{50 \ln \left(18\right)}+\frac{i \sqrt{5}\, \ln \left(\frac{\ln \left(18\right)}{x}\right) \ln \left(-\frac{\frac{i \ln \left(18\right) \sqrt{5}}{x}-\ln \left(18\right)}{\ln \left(18\right)}\right)}{50 \ln \left(18\right)}\right)$&$396$\\ default&$-\ln \left(18\right) \left(-\frac{4}{5 \ln \left(18\right) x^{2}}+\frac{\ln \left(18\right)}{\left(\ln \left(18\right)^{2}+\frac{5 \ln \left(18\right)^{2}}{x^{2}}\right) x}-\frac{4 \ln \left(18\right)}{25 \left(\ln \left(18\right)^{2}+\frac{5 \ln \left(18\right)^{2}}{x^{2}}\right)}+\frac{\ln \left(\frac{\ln \left(18\right)}{x}\right)}{5 \ln \left(18\right) x}+\frac{i \ln \left(18\right) \ln \left(\frac{\ln \left(18\right)}{x}\right) \ln \left(\frac{\frac{i \ln \left(18\right) \sqrt{5}}{x}+\ln \left(18\right)}{\ln \left(18\right)}\right) \sqrt{5}}{50 \ln \left(18\right)^{2}+\frac{250 \ln \left(18\right)^{2}}{x^{2}}}+\frac{i \ln \left(18\right) \ln \left(\frac{\ln \left(18\right)}{x}\right) \ln \left(\frac{\frac{i \ln \left(18\right) \sqrt{5}}{x}+\ln \left(18\right)}{\ln \left(18\right)}\right) \sqrt{5}}{10 \left(\ln \left(18\right)^{2}+\frac{5 \ln \left(18\right)^{2}}{x^{2}}\right) x^{2}}-\frac{i \ln \left(18\right) \ln \left(\frac{\ln \left(18\right)}{x}\right) \ln \left(-\frac{\frac{i \ln \left(18\right) \sqrt{5}}{x}-\ln \left(18\right)}{\ln \left(18\right)}\right) \sqrt{5}}{50 \left(\ln \left(18\right)^{2}+\frac{5 \ln \left(18\right)^{2}}{x^{2}}\right)}-\frac{i \ln \left(18\right) \ln \left(\frac{\ln \left(18\right)}{x}\right) \ln \left(-\frac{\frac{i \ln \left(18\right) \sqrt{5}}{x}-\ln \left(18\right)}{\ln \left(18\right)}\right) \sqrt{5}}{10 \left(\ln \left(18\right)^{2}+\frac{5 \ln \left(18\right)^{2}}{x^{2}}\right) x^{2}}-\frac{\ln \left(\frac{\ln \left(18\right)}{x}\right) \ln \left(18\right)}{5 x \left(\ln \left(18\right)^{2}+\frac{5 \ln \left(18\right)^{2}}{x^{2}}\right)}-\frac{i \sqrt{5}\, \ln \left(\frac{\ln \left(18\right)}{x}\right) \ln \left(\frac{\frac{i \ln \left(18\right) \sqrt{5}}{x}+\ln \left(18\right)}{\ln \left(18\right)}\right)}{50 \ln \left(18\right)}+\frac{i \sqrt{5}\, \ln \left(\frac{\ln \left(18\right)}{x}\right) \ln \left(-\frac{\frac{i \ln \left(18\right) \sqrt{5}}{x}-\ln \left(18\right)}{\ln \left(18\right)}\right)}{50 \ln \left(18\right)}\right)$&$396$\\ \hline \end{longtable}"," ",0,"(4-x^3-ln(ln(18)/x)*x)/x^2/(x^2+5)","A"
5539,1,28,18,0.422000," ","int(((2500*ln(2*x)+2500)*exp(-1250/x/ln(2*x))^2+(-2500*ln(2*x)-2500)*exp(-1250/x/ln(2*x)))/x^2/ln(2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2500}{x \ln \left(2 x \right)}}-2 \,{\mathrm e}^{-\frac{1250}{x \ln \left(2 x \right)}}$&$28$\\ default&$\frac{-2 x \ln \left(x \right) {\mathrm e}^{-\frac{1250}{x \left(\ln \left(2\right)+\ln \left(x \right)\right)}}-2 \ln \left(2\right) x \,{\mathrm e}^{-\frac{1250}{x \left(\ln \left(2\right)+\ln \left(x \right)\right)}}}{x \left(\ln \left(2\right)+\ln \left(x \right)\right)}+\frac{x \ln \left(x \right) {\mathrm e}^{-\frac{2500}{x \left(\ln \left(2\right)+\ln \left(x \right)\right)}}+\ln \left(2\right) x \,{\mathrm e}^{-\frac{2500}{x \left(\ln \left(2\right)+\ln \left(x \right)\right)}}}{x \left(\ln \left(2\right)+\ln \left(x \right)\right)}$&$96$\\ \hline \end{longtable}"," ",0,"exp(-2500/x/ln(2*x))-2*exp(-1250/x/ln(2*x))","A"
5540,1,46,24,0.085000," ","int(((200*x^3+900*x^2+1350*x+675)*ln(2)^2+(-120*x^3-540*x^2-900*x-540)*ln(2)-16*x^4-14*x^3+153*x^2+360*x+243)/(8*x^3+36*x^2+54*x+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+\frac{29 x}{4}+25 x \ln \left(2\right)^{2}-15 x \ln \left(2\right)-\frac{27}{8 \left(2 x +3\right)^{2}}-\frac{-\frac{45 \ln \left(2\right)}{2}+\frac{45}{8}}{2 x +3}$&$46$\\ risch&$25 x \ln \left(2\right)^{2}-15 x \ln \left(2\right)-x^{2}+\frac{29 x}{4}+\frac{\frac{\left(45 \ln \left(2\right)-\frac{45}{4}\right) x}{4}-\frac{81}{16}+\frac{135 \ln \left(2\right)}{8}}{x^{2}+3 x +\frac{9}{4}}$&$48$\\ norman&$\frac{-4 x^{4}+\left(100 \ln \left(2\right)^{2}-60 \ln \left(2\right)+17\right) x^{3}-\frac{783}{4}+\left(-675 \ln \left(2\right)^{2}+450 \ln \left(2\right)-180\right) x -675 \ln \left(2\right)^{2}+\frac{945 \ln \left(2\right)}{2}}{\left(2 x +3\right)^{2}}$&$56$\\ gosper&$\frac{400 x^{3} \ln \left(2\right)^{2}-240 x^{3} \ln \left(2\right)-16 x^{4}-2700 x \ln \left(2\right)^{2}+68 x^{3}-2700 \ln \left(2\right)^{2}+1800 x \ln \left(2\right)+1890 \ln \left(2\right)-720 x -783}{16 x^{2}+48 x +36}$&$68$\\ \hline \end{longtable}"," ",0,"-x^2+29/4*x+25*x*ln(2)^2-15*x*ln(2)-27/8/(2*x+3)^2-(-45/2*ln(2)+45/8)/(2*x+3)","A"
5541,1,22,19,0.022000," ","int(((3*x^2+10)*ln(x)+3*x^4-2*x^3+10*x^2-x)/(2*x^2*ln(x)+2*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-5+\frac{3 x^{2}}{2}}{x}-\frac{\ln \left(\ln \left(x \right)+x^{2}\right)}{2}$&$22$\\ risch&$\frac{3 x^{2}-10}{2 x}-\frac{\ln \left(\ln \left(x \right)+x^{2}\right)}{2}$&$23$\\ \hline \end{longtable}"," ",0,"(-5+3/2*x^2)/x-1/2*ln(ln(x)+x^2)","A"
5542,1,33,26,5.464000," ","int((((-2*x^2-40*x)*ln(16/(3*x^2+60*x))*ln(x)+(-2*x^2-40*x)*ln(16/(3*x^2+60*x)))*ln(x*ln(x)+1)+(-2*x^2-20*x)*ln(x)-2*x-20)/((x^3+20*x^2)*ln(16/(3*x^2+60*x))*ln(x)+(x^2+20*x)*ln(16/(3*x^2+60*x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \ln \left(x \right)+1\right)^{2}+\ln \left(-4 \ln \left(2\right)+\ln \left(3\right)-\ln \left(\frac{1}{x \left(20+x \right)}\right)\right)$&$33$\\ risch&$-\ln \left(x \ln \left(x \right)+1\right)^{2}+\ln \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{20+x}\right) \mathrm{csgn}\left(\frac{i}{x \left(20+x \right)}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \left(20+x \right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{20+x}\right) \mathrm{csgn}\left(\frac{i}{x \left(20+x \right)}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i}{x \left(20+x \right)}\right)^{3}-2 i \ln \left(3\right)+8 i \ln \left(2\right)-2 i \ln \left(x \right)-2 i \ln \left(20+x \right)\right)$&$133$\\ \hline \end{longtable}"," ",0,"-ln(x*ln(x)+1)^2+ln(-4*ln(2)+ln(3)-ln(1/x/(20+x)))","A"
5543,1,19,19,0.088000," ","int((-8*ln(5*exp(x))^2+(8*x-8)*ln(5*exp(x))+8*x^3-24*x^2+24*x-8)/(x^3-3*x^2+3*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$8 x +\frac{4 \ln \left(5 \,{\mathrm e}^{x}\right)^{2}}{\left(x -1\right)^{2}}$&$19$\\ risch&$\frac{4 \ln \left({\mathrm e}^{x}\right)^{2}}{x^{2}-2 x +1}+\frac{8 \ln \left(5\right) \ln \left({\mathrm e}^{x}\right)}{x^{2}-2 x +1}+\frac{8 x^{3}+4 \ln \left(5\right)^{2}-16 x^{2}+8 x}{x^{2}-2 x +1}$&$67$\\ \hline \end{longtable}"," ",0,"8*x+4*ln(5*exp(x))^2/(x-1)^2","A"
5544,1,25,24,0.048000," ","int(((2*x^2+8*x+8)*ln(x)^2+(-2*x^3-9*x^2-19*x+4)*ln(x)-2*x^3-x^2+11*x)*exp(3/2*ln(x-ln(x))+x)/((2*x^2+16*x+32)*ln(x)^3+(-2*x^3-12*x^2-16*x)*ln(x)^2+(-4*x^3-14*x^2)*ln(x)-2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(x -\ln \left(x \right)\right)^{\frac{3}{2}} {\mathrm e}^{x}}{x \ln \left(x \right)+4 \ln \left(x \right)+x}$&$25$\\ \hline \end{longtable}"," ",0,"x/(x*ln(x)+4*ln(x)+x)*(x-ln(x))^(3/2)*exp(x)","A"
5545,1,23,20,0.292000," ","int(((8*x^2-16*x)*exp(x)+3*exp(5))/(8*exp(x)*x^2-x*exp(5)+32*x^4)/ln(1/8*(8*exp(x)*x-exp(5)+32*x^3)/x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(\frac{8 \,{\mathrm e}^{x} x -{\mathrm e}^{5}+32 x^{3}}{8 x^{3}}\right)\right)$&$23$\\ risch&$\ln \left(\ln \left(-32 x^{3}-8 \,{\mathrm e}^{x} x +{\mathrm e}^{5}\right)+\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{3}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{3}}\right) \mathrm{csgn}\left(i \left(-32 x^{3}-8 \,{\mathrm e}^{x} x +{\mathrm e}^{5}\right)\right) \mathrm{csgn}\left(\frac{i \left(-32 x^{3}-8 \,{\mathrm e}^{x} x +{\mathrm e}^{5}\right)}{x^{3}}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x^{3}}\right) \mathrm{csgn}\left(\frac{i \left(-32 x^{3}-8 \,{\mathrm e}^{x} x +{\mathrm e}^{5}\right)}{x^{3}}\right)^{2}-2 \pi  \mathrm{csgn}\left(\frac{i \left(-32 x^{3}-8 \,{\mathrm e}^{x} x +{\mathrm e}^{5}\right)}{x^{3}}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(-32 x^{3}-8 \,{\mathrm e}^{x} x +{\mathrm e}^{5}\right)\right) \mathrm{csgn}\left(\frac{i \left(-32 x^{3}-8 \,{\mathrm e}^{x} x +{\mathrm e}^{5}\right)}{x^{3}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(-32 x^{3}-8 \,{\mathrm e}^{x} x +{\mathrm e}^{5}\right)}{x^{3}}\right)^{3}+6 i \ln \left(x \right)+6 i \ln \left(2\right)+2 \pi \right)}{2}\right)$&$314$\\ \hline \end{longtable}"," ",0,"ln(ln(1/8*(8*exp(x)*x-exp(5)+32*x^3)/x^3))","A"
5546,1,31,23,0.236000," ","int(((16*x*ln(x)+(-16*x+80)*ln(x-5))*ln(ln(x))+(-16*x*ln(x)+(16*x-80)*ln(x-5))*ln(ln(x-5))+(-4*x^2+20*x)*ln(x-5)*ln(x))/(x^2-5*x)/ln(x-5)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-8 \ln \left(\ln \left(x \right)\right)^{2}+16 \ln \left(\ln \left(x \right)\right) \ln \left(\ln \left(x -5\right)\right)-8 \ln \left(\ln \left(x -5\right)\right)^{2}-4 x$&$31$\\ \hline \end{longtable}"," ",0,"-8*ln(ln(x))^2+16*ln(ln(x))*ln(ln(x-5))-8*ln(ln(x-5))^2-4*x","A"
5547,1,41,31,0.252000," ","int(((x^3-2*x^2+x)*exp(x)*ln(5*exp(2))+x^2*ln(2/x)+x^2*ln(2)+x^2+x-1)/(x^3-2*x^2+x)/exp(x)/ln(5*exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\frac{\left(-1-\ln \left(2\right)-\ln \left(\frac{2}{x}\right)\right) {\mathrm e}^{-x}}{x -1}+\ln \left(5 \,{\mathrm e}^{2}\right) x}{\ln \left(5 \,{\mathrm e}^{2}\right)}$&$41$\\ norman&$\frac{\left(-{\mathrm e}^{x}+{\mathrm e}^{x} x^{2}-\frac{1+\ln \left(2\right)}{2+\ln \left(5\right)}-\frac{\ln \left(\frac{2}{x}\right)}{2+\ln \left(5\right)}\right) {\mathrm e}^{-x}}{x -1}$&$48$\\ risch&$\frac{{\mathrm e}^{-x} \ln \left(x \right)}{\left(2+\ln \left(5\right)\right) \left(x -1\right)}-\frac{\left(2-2 x^{2} \ln \left(5\right) {\mathrm e}^{x}+2 x \,{\mathrm e}^{x} \ln \left(5\right)-4 \,{\mathrm e}^{x} x^{2}+4 \,{\mathrm e}^{x} x +4 \ln \left(2\right)\right) {\mathrm e}^{-x}}{2 \left(2+\ln \left(5\right)\right) \left(x -1\right)}$&$71$\\ \hline \end{longtable}"," ",0,"1/ln(5*exp(2))*((-1-ln(2)-ln(2/x))/(x-1)/exp(x)+ln(5*exp(2))*x)","A"
5548,1,32,23,0.232000," ","int(((x*exp(2)^2+4*exp(2)*x+4*x-4)*ln(x*exp(2)^2+4*exp(2)*x+4*x-4)+(2*x^2+x)*exp(2)^2+(8*x^2+4*x)*exp(2)+8*x^2-4*x)/((x^2*exp(2)^2+4*x^2*exp(2)+4*x^2-4*x)*ln(x*exp(2)^2+4*exp(2)*x+4*x-4)+(-2*x*exp(2)^2-8*exp(2)*x-8*x+8)*ln(5)+x^3*exp(2)^2+4*x^3*exp(2)+4*x^3-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(-x^{2}-\ln \left(x \,{\mathrm e}^{4}+4 \,{\mathrm e}^{2} x +4 x -4\right) x +2 \ln \left(5\right)\right)$&$32$\\ risch&$\ln \left(x \right)+\ln \left(\ln \left(x \,{\mathrm e}^{4}+4 \,{\mathrm e}^{2} x +4 x -4\right)-\frac{-x^{2}+2 \ln \left(5\right)}{x}\right)$&$36$\\ \hline \end{longtable}"," ",0,"ln(-x^2-ln(x*exp(2)^2+4*exp(2)*x+4*x-4)*x+2*ln(5))","A"
5549,1,19,21,0.072000," ","int((-x*ln(x^2)-2*ln(3)+3*x-10)/((x*ln(3)+x^2+5*x)*ln(x^2)-5*x*ln(3)-5*x^2-25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left(x^{2}\right)-5\right)-\ln \left(\ln \left(3\right)+5+x \right)$&$19$\\ risch&$-\ln \left(\ln \left(x^{2}\right)-5\right)-\ln \left(\ln \left(3\right)+5+x \right)$&$19$\\ \hline \end{longtable}"," ",0,"-ln(ln(x^2)-5)-ln(ln(3)+5+x)","A"
5550,1,69,22,0.777000," ","int((((-6*ln(5)+30)*exp(x)*exp(exp(x))^2+(-6*ln(5)^2+(-6*exp(1)+60)*ln(5)+30*exp(1)-150)*exp(x)*exp(exp(x)))*exp((3*exp(exp(x))^2+(6*ln(5)+6*exp(1)-30)*exp(exp(x))+3*ln(5)^2+(6*exp(1)-30)*ln(5)+3*exp(1)^2-30*exp(1)+75)/(exp(exp(x))^2+2*exp(1)*exp(exp(x))+exp(1)^2))+exp(exp(x))^3+3*exp(1)*exp(exp(x))^2+3*exp(1)^2*exp(exp(x))+exp(1)^3)/(exp(exp(x))^3+3*exp(1)*exp(exp(x))^2+3*exp(1)^2*exp(exp(x))+exp(1)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{3 \ln \left(5\right)^{2}+6 \,{\mathrm e} \ln \left(5\right)+6 \,{\mathrm e}^{{\mathrm e}^{x}} \ln \left(5\right)+6 \,{\mathrm e}^{{\mathrm e}^{x}+1}+3 \,{\mathrm e}^{2}-30 \ln \left(5\right)-30 \,{\mathrm e}-30 \,{\mathrm e}^{{\mathrm e}^{x}}+3 \,{\mathrm e}^{2 \,{\mathrm e}^{x}}+75}{{\mathrm e}^{2 \,{\mathrm e}^{x}}+2 \,{\mathrm e}^{{\mathrm e}^{x}+1}+{\mathrm e}^{2}}}$&$69$\\ norman&$\frac{{\mathrm e}^{2} x +x \,{\mathrm e}^{2 \,{\mathrm e}^{x}}+{\mathrm e}^{2} {\mathrm e}^{\frac{3 \,{\mathrm e}^{2 \,{\mathrm e}^{x}}+\left(6 \ln \left(5\right)+6 \,{\mathrm e}-30\right) {\mathrm e}^{{\mathrm e}^{x}}+3 \ln \left(5\right)^{2}+\left(6 \,{\mathrm e}-30\right) \ln \left(5\right)+3 \,{\mathrm e}^{2}-30 \,{\mathrm e}+75}{{\mathrm e}^{2 \,{\mathrm e}^{x}}+2 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{2}}}+{\mathrm e}^{2 \,{\mathrm e}^{x}} {\mathrm e}^{\frac{3 \,{\mathrm e}^{2 \,{\mathrm e}^{x}}+\left(6 \ln \left(5\right)+6 \,{\mathrm e}-30\right) {\mathrm e}^{{\mathrm e}^{x}}+3 \ln \left(5\right)^{2}+\left(6 \,{\mathrm e}-30\right) \ln \left(5\right)+3 \,{\mathrm e}^{2}-30 \,{\mathrm e}+75}{{\mathrm e}^{2 \,{\mathrm e}^{x}}+2 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{2}}}+2 x \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{x}}+2 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{x}} {\mathrm e}^{\frac{3 \,{\mathrm e}^{2 \,{\mathrm e}^{x}}+\left(6 \ln \left(5\right)+6 \,{\mathrm e}-30\right) {\mathrm e}^{{\mathrm e}^{x}}+3 \ln \left(5\right)^{2}+\left(6 \,{\mathrm e}-30\right) \ln \left(5\right)+3 \,{\mathrm e}^{2}-30 \,{\mathrm e}+75}{{\mathrm e}^{2 \,{\mathrm e}^{x}}+2 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{2}}}}{\left({\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}\right)^{2}}$&$257$\\ \hline \end{longtable}"," ",0,"x+exp(3*(ln(5)^2+2*exp(1)*ln(5)+2*exp(exp(x))*ln(5)+2*exp(exp(x)+1)+exp(2)-10*ln(5)-10*exp(1)-10*exp(exp(x))+exp(2*exp(x))+25)/(exp(2*exp(x))+2*exp(exp(x)+1)+exp(2)))","B"
5551,1,13,12,0.024000," ","int((-2430*ln(x)-3240*x-5670)/(x^7*ln(x)^3+(3*x^8+6*x^7)*ln(x)^2+(3*x^9+12*x^8+12*x^7)*ln(x)+x^10+6*x^9+12*x^8+8*x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{405}{\left(x +\ln \left(x \right)+2\right)^{2} x^{6}}$&$13$\\ \hline \end{longtable}"," ",0,"405/(x+ln(x)+2)^2/x^6","A"
5552,1,18,18,0.235000," ","int(((12*x^2-50*x)*ln(15*x/(6*x-25))-19*x-25)/(6*x-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\ln \left(\frac{15 x}{6 x -25}\right) x^{2}$&$18$\\ risch&$x +\ln \left(\frac{15 x}{6 x -25}\right) x^{2}$&$18$\\ derivativedivides&$x -\frac{25}{6}-\frac{\ln \left(\frac{5}{2}+\frac{125}{2 \left(6 x -25\right)}\right) \left(\frac{5}{2}+\frac{125}{2 \left(6 x -25\right)}\right) \left(-\frac{5}{2}+\frac{125}{2 \left(6 x -25\right)}\right) \left(6 x -25\right)^{2}}{225}+\frac{5 \ln \left(\frac{5}{2}+\frac{125}{2 \left(6 x -25\right)}\right) \left(\frac{5}{2}+\frac{125}{2 \left(6 x -25\right)}\right) \left(6 x -25\right)}{9}$&$77$\\ default&$x -\frac{25}{6}-\frac{\ln \left(\frac{5}{2}+\frac{125}{2 \left(6 x -25\right)}\right) \left(\frac{5}{2}+\frac{125}{2 \left(6 x -25\right)}\right) \left(-\frac{5}{2}+\frac{125}{2 \left(6 x -25\right)}\right) \left(6 x -25\right)^{2}}{225}+\frac{5 \ln \left(\frac{5}{2}+\frac{125}{2 \left(6 x -25\right)}\right) \left(\frac{5}{2}+\frac{125}{2 \left(6 x -25\right)}\right) \left(6 x -25\right)}{9}$&$77$\\ \hline \end{longtable}"," ",0,"x+ln(15*x/(6*x-25))*x^2","A"
5553,1,26,21,0.038000," ","int((72*x^4+1272*x^3+6523*x^2+7600*x-280)/(24*x^5+444*x^4+2491*x^3+3765*x^2-280*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x +8\right)+\ln \left(24 x^{3}+252 x^{2}+475 x -35\right)+\ln \left(x \right)$&$26$\\ norman&$-\ln \left(x +8\right)+\ln \left(24 x^{3}+252 x^{2}+475 x -35\right)+\ln \left(x \right)$&$26$\\ risch&$-\ln \left(x +8\right)+\ln \left(24 x^{4}+252 x^{3}+475 x^{2}-35 x \right)$&$28$\\ \hline \end{longtable}"," ",0,"-ln(x+8)+ln(24*x^3+252*x^2+475*x-35)+ln(x)","A"
5554,1,26,17,0.137000," ","int((-exp(2)^2+(-4*x+4)*exp(2)+8*x-4)/((x*exp(2)^2-4*exp(2)*x+4*x)*ln(x)^2+(-4*x*exp(2)^2+(8*x^2+16*x)*exp(2)-16*x^2-16*x)*ln(x)+4*x*exp(2)^2+(-16*x^2-16*x)*exp(2)+16*x^3+32*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{2}-2}{{\mathrm e}^{2} \ln \left(x \right)-2 \,{\mathrm e}^{2}-2 \ln \left(x \right)+4 x +4}$&$26$\\ risch&$\frac{{\mathrm e}^{2}}{{\mathrm e}^{2} \ln \left(x \right)-2 \,{\mathrm e}^{2}-2 \ln \left(x \right)+4 x +4}-\frac{2}{{\mathrm e}^{2} \ln \left(x \right)-2 \,{\mathrm e}^{2}-2 \ln \left(x \right)+4 x +4}$&$47$\\ \hline \end{longtable}"," ",0,"(exp(2)-2)/(exp(2)*ln(x)-2*exp(2)-2*ln(x)+4*x+4)","A"
5555,1,41,27,0.054000," ","int(((3*x^2+6*x-9)*ln(2*x)+11*x^2+28*x-9)/((x^3+6*x^2+9*x)*ln(2*x)+3*x^3+16*x^2+27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(3+x \right)-\ln \left(x \right)+2 \ln \left(\ln \left(2 x \right)+\frac{3 x^{2}+16 x +27}{x^{2}+6 x +9}\right)$&$41$\\ norman&$-\ln \left(2 x \right)+2 \ln \left(x^{2} \ln \left(2 x \right)+6 x \ln \left(2 x \right)+3 x^{2}+9 \ln \left(2 x \right)+16 x +27\right)$&$42$\\ \hline \end{longtable}"," ",0,"4*ln(3+x)-ln(x)+2*ln(ln(2*x)+(3*x^2+16*x+27)/(x^2+6*x+9))","A"
5556,1,13,18,0.258000," ","int(3/(ln(5)-12*exp(3)+3*x+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(5\right)-12 \,{\mathrm e}^{3}+3 x +5\right)$&$13$\\ norman&$\ln \left(\ln \left(5\right)-12 \,{\mathrm e}^{3}+3 x +5\right)$&$13$\\ risch&$\ln \left(\ln \left(5\right)-12 \,{\mathrm e}^{3}+3 x +5\right)$&$13$\\ meijerg&$\frac{3 \left(\frac{\ln \left(5\right)}{3}-4 \,{\mathrm e}^{3}+\frac{5}{3}\right) \ln \left(1+\frac{3 x}{\ln \left(5\right)-12 \,{\mathrm e}^{3}+5}\right)}{\ln \left(5\right)-12 \,{\mathrm e}^{3}+5}$&$39$\\ \hline \end{longtable}"," ",0,"ln(ln(5)-12*exp(3)+3*x+5)","A"
5557,1,11,15,0.022000," ","int(-1/5*ln(ln(ln(2)))+12/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(-\frac{\ln \left(\ln \left(\ln \left(2\right)\right)\right)}{5}+\frac{12}{5}\right) x$&$11$\\ norman&$\left(-\frac{\ln \left(\ln \left(\ln \left(2\right)\right)\right)}{5}+\frac{12}{5}\right) x$&$11$\\ risch&$-\frac{\ln \left(\ln \left(\ln \left(2\right)\right)\right) x}{5}+\frac{12 x}{5}$&$12$\\ \hline \end{longtable}"," ",0,"(-1/5*ln(ln(ln(2)))+12/5)*x","A"
5558,1,82,22,0.068000," ","int(6*x^5*ln(x)^2+(6*x^2*exp(exp(3))+14*x^5-10*x^4+16*x^3)*ln(x)+(8*x^2-4*x+4)*exp(exp(3))+8*x^5-12*x^4+24*x^3-12*x^2+8*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{6}+x^{6} \ln \left(x \right)^{2}+\left(-2 \,{\mathrm e}^{{\mathrm e}^{3}}+4\right) x^{2}+\left(2 \,{\mathrm e}^{{\mathrm e}^{3}}-4\right) x^{3}+5 x^{4}-2 x^{5}+4 x \,{\mathrm e}^{{\mathrm e}^{3}}+4 x^{4} \ln \left(x \right)-2 x^{5} \ln \left(x \right)+2 x^{6} \ln \left(x \right)+2 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(x \right) x^{3}$&$82$\\ risch&$x^{6} \ln \left(x \right)^{2}+2 x^{6} \ln \left(x \right)-2 x^{5} \ln \left(x \right)+x^{6}+2 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(x \right) x^{3}+4 x^{4} \ln \left(x \right)-2 x^{5}+2 x^{3} {\mathrm e}^{{\mathrm e}^{3}}+5 x^{4}-2 x^{2} {\mathrm e}^{{\mathrm e}^{3}}-4 x^{3}+4 x \,{\mathrm e}^{{\mathrm e}^{3}}+4 x^{2}$&$86$\\ default&$2 x^{6} \ln \left(x \right)+x^{6}-2 x^{5} \ln \left(x \right)-2 x^{5}+2 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(x \right) x^{3}-\frac{2 x^{3} {\mathrm e}^{{\mathrm e}^{3}}}{3}+4 x^{4} \ln \left(x \right)+5 x^{4}+{\mathrm e}^{{\mathrm e}^{3}} \left(\frac{8}{3} x^{3}-2 x^{2}+4 x \right)+4 x^{2}-4 x^{3}+x^{6} \ln \left(x \right)^{2}$&$90$\\ \hline \end{longtable}"," ",0,"x^6+x^6*ln(x)^2+(-2*exp(exp(3))+4)*x^2+(2*exp(exp(3))-4)*x^3+5*x^4-2*x^5+4*x*exp(exp(3))+4*x^4*ln(x)-2*x^5*ln(x)+2*x^6*ln(x)+2*exp(exp(3))*ln(x)*x^3","B"
5559,1,16,15,0.058000," ","int(((2*exp(x)-2*x)*ln(exp(x)-x)+(-2*exp(7)-2*x)*exp(x)+2*exp(7)+2*x)/(exp(x)-x)/ln(exp(x)-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{7}+2 x}{\ln \left({\mathrm e}^{x}-x \right)}$&$16$\\ norman&$\frac{2 \,{\mathrm e}^{7}+2 x}{\ln \left({\mathrm e}^{x}-x \right)}$&$19$\\ \hline \end{longtable}"," ",0,"2*(exp(7)+x)/ln(exp(x)-x)","A"
5560,1,32,27,1.568000," ","int(((((x-3)*exp(x)+(x-3)*exp(5)^2+3*x-9)*exp(exp(5))+(x^2+2*x-15)*exp(x)+(x^2+2*x-15)*exp(5)^2+3*x^2+6*x-45)*ln((exp(x)+exp(5)^2+3)/((x-3)*exp(exp(5))+x^2+2*x-15))+((x^2-3*x-3)*exp(x)-3*exp(5)^2-9)*exp(exp(5))+(x^3+x^2-15*x-15)*exp(x)+(-x^2-15)*exp(5)^2-3*x^2-45)/(((x-3)*exp(x)+(x-3)*exp(5)^2+3*x-9)*exp(exp(5))+(x^2+2*x-15)*exp(x)+(x^2+2*x-15)*exp(5)^2+3*x^2+6*x-45),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +x \ln \left(\frac{{\mathrm e}^{x}+{\mathrm e}^{10}+3}{\left(x -3\right) {\mathrm e}^{{\mathrm e}^{5}}+x^{2}+2 x -15}\right)$&$32$\\ risch&$x \ln \left({\mathrm e}^{x}+{\mathrm e}^{10}+3\right)-x \ln \left(x +{\mathrm e}^{{\mathrm e}^{5}}+5\right)-\ln \left(x -3\right) x -\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x -3}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+{\mathrm e}^{10}+3\right)}{x +{\mathrm e}^{{\mathrm e}^{5}}+5}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+{\mathrm e}^{10}+3\right)}{\left(x -3\right) \left(x +{\mathrm e}^{{\mathrm e}^{5}}+5\right)}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x -3}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+{\mathrm e}^{10}+3\right)}{\left(x -3\right) \left(x +{\mathrm e}^{{\mathrm e}^{5}}+5\right)}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x +{\mathrm e}^{{\mathrm e}^{5}}+5}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+{\mathrm e}^{10}+3\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+{\mathrm e}^{10}+3\right)}{x +{\mathrm e}^{{\mathrm e}^{5}}+5}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x +{\mathrm e}^{{\mathrm e}^{5}}+5}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+{\mathrm e}^{10}+3\right)}{x +{\mathrm e}^{{\mathrm e}^{5}}+5}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+{\mathrm e}^{10}+3\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+{\mathrm e}^{10}+3\right)}{x +{\mathrm e}^{{\mathrm e}^{5}}+5}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+{\mathrm e}^{10}+3\right)}{x +{\mathrm e}^{{\mathrm e}^{5}}+5}\right)^{3}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+{\mathrm e}^{10}+3\right)}{x +{\mathrm e}^{{\mathrm e}^{5}}+5}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+{\mathrm e}^{10}+3\right)}{\left(x -3\right) \left(x +{\mathrm e}^{{\mathrm e}^{5}}+5\right)}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+{\mathrm e}^{10}+3\right)}{\left(x -3\right) \left(x +{\mathrm e}^{{\mathrm e}^{5}}+5\right)}\right)^{3}}{2}+x$&$343$\\ \hline \end{longtable}"," ",0,"x+x*ln((exp(x)+exp(5)^2+3)/((x-3)*exp(exp(5))+x^2+2*x-15))","A"
5561,1,69,28,0.164000," ","int(((2*x^2-x)*ln(5/x)^3+(-2*x^2-7*x)*ln(5/x)^2+(2*x^2-3*x)*ln(5/x)-9*x+50)/((x^3-x^2+2*x)*ln(5/x)^3+(-x^3-7*x^2-6*x)*ln(5/x)^2+(7*x^2+31*x)*ln(5/x)+x^2-27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 \ln \left(\ln \left(\frac{5}{x}\right)-1\right)+\ln \left(x^{2} \ln \left(\frac{5}{x}\right)^{2}-x \ln \left(\frac{5}{x}\right)^{2}-8 x \ln \left(\frac{5}{x}\right)+2 \ln \left(\frac{5}{x}\right)^{2}-x -4 \ln \left(\frac{5}{x}\right)+27\right)$&$69$\\ risch&$\ln \left(x^{2}-x +2\right)-2 \ln \left(\ln \left(\frac{5}{x}\right)-1\right)+\ln \left(\ln \left(\frac{5}{x}\right)^{2}-\frac{4 \left(2 x +1\right) \ln \left(\frac{5}{x}\right)}{x^{2}-x +2}-\frac{x -27}{x^{2}-x +2}\right)$&$70$\\ \hline \end{longtable}"," ",0,"-2*ln(ln(5/x)-1)+ln(x^2*ln(5/x)^2-x*ln(5/x)^2-8*x*ln(5/x)+2*ln(5/x)^2-x-4*ln(5/x)+27)","B"
5562,1,16,17,0.095000," ","int((-exp(-ln(x)+2)+8100*x^4)/(x*exp(-ln(x)+2)+2025*x^5)/ln(12*exp(-ln(x)+2)+24300*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(\frac{12 \,{\mathrm e}^{2}}{x}+24300 x^{4}\right)\right)$&$16$\\ risch&$\ln \left(\ln \left(\frac{12 \,{\mathrm e}^{2}}{x}+24300 x^{4}\right)\right)$&$16$\\ \hline \end{longtable}"," ",0,"ln(ln(12*exp(2)/x+24300*x^4))","A"
5563,1,24,26,0.059000," ","int(-5*ln(x)+(-5*exp(2)*x+5*x-5)*exp(exp(2)*x-x-5)+exp(6)-5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \,{\mathrm e}^{6}-5 x \ln \left(x \right)-5 \,{\mathrm e}^{{\mathrm e}^{2} x -x -5} x$&$24$\\ risch&$x \,{\mathrm e}^{6}-5 x \ln \left(x \right)-5 \,{\mathrm e}^{{\mathrm e}^{2} x -x -5} x$&$24$\\ default&$\frac{\frac{5 \left({\mathrm e}^{-5+\left({\mathrm e}^{2}-1\right) x} \left(-5+\left({\mathrm e}^{2}-1\right) x \right)-{\mathrm e}^{-5+\left({\mathrm e}^{2}-1\right) x}\right)}{{\mathrm e}^{2}-1}+\frac{25 \,{\mathrm e}^{-5+\left({\mathrm e}^{2}-1\right) x}}{{\mathrm e}^{2}-1}-\frac{25 \,{\mathrm e}^{-5+\left({\mathrm e}^{2}-1\right) x} {\mathrm e}^{2}}{{\mathrm e}^{2}-1}-\frac{5 \,{\mathrm e}^{2} \left({\mathrm e}^{-5+\left({\mathrm e}^{2}-1\right) x} \left(-5+\left({\mathrm e}^{2}-1\right) x \right)-{\mathrm e}^{-5+\left({\mathrm e}^{2}-1\right) x}\right)}{{\mathrm e}^{2}-1}-5 \,{\mathrm e}^{-5+\left({\mathrm e}^{2}-1\right) x}}{{\mathrm e}^{2}-1}-5 x \ln \left(x \right)+x \,{\mathrm e}^{6}$&$144$\\ \hline \end{longtable}"," ",0,"x*exp(6)-5*x*ln(x)-5*exp(exp(2)*x-x-5)*x","A"
5564,1,14,14,0.033000," ","int((4*exp(x)*x+4)*exp(exp(x))+2*x+6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$6 x +4 x \,{\mathrm e}^{{\mathrm e}^{x}}+x^{2}$&$14$\\ norman&$6 x +4 x \,{\mathrm e}^{{\mathrm e}^{x}}+x^{2}$&$14$\\ risch&$6 x +4 x \,{\mathrm e}^{{\mathrm e}^{x}}+x^{2}$&$14$\\ \hline \end{longtable}"," ",0,"6*x+4*x*exp(exp(x))+x^2","A"
5565,1,24,29,0.226000," ","int(1/8*((1-x)*exp(ln(x)-x)*exp(exp(ln(x)-x))-1)*exp(exp(exp(ln(x)-x)))*exp((exp(exp(exp(ln(x)-x)))-x*ln(2)+3*x)/x)*exp(1/2*exp((exp(exp(exp(ln(x)-x)))-x*ln(2)+3*x)/x))*exp(exp(1/2*exp((exp(exp(exp(ln(x)-x)))-x*ln(2)+3*x)/x)))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{x \,{\mathrm e}^{-x}}}+3 x}{x}}}{4}}}}{4}$&$24$\\ \hline \end{longtable}"," ",0,"1/4*exp(exp(1/4*exp((exp(exp(x*exp(-x)))+3*x)/x)))","A"
5566,1,41,29,0.036000," ","int((-2*exp(1)^2*ln(2)+8*x*exp(1)^2*exp(3)-exp(1)^3+(16*x^3+2*x)*exp(1)^2+64*x^3*exp(1)+64*x^3)/exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2} {\mathrm e}^{3}+4 x^{4}+16 x^{4} {\mathrm e}^{-1}-x \,{\mathrm e}-2 x \ln \left(2\right)+x^{2}+16 x^{4} {\mathrm e}^{-2}$&$41$\\ norman&$\left({\mathrm e} \left(4 \,{\mathrm e}^{3}+1\right) x^{2}+4 \left({\mathrm e}^{2}+4 \,{\mathrm e}+4\right) {\mathrm e}^{-1} x^{4}-{\mathrm e} \left({\mathrm e}+2 \ln \left(2\right)\right) x \right) {\mathrm e}^{-1}$&$50$\\ gosper&$-x \left(-4 x^{3} {\mathrm e}^{2}-4 x \,{\mathrm e}^{2} {\mathrm e}^{3}-16 x^{3} {\mathrm e}+{\mathrm e}^{3}+2 \,{\mathrm e}^{2} \ln \left(2\right)-{\mathrm e}^{2} x -16 x^{3}\right) {\mathrm e}^{-2}$&$58$\\ default&${\mathrm e}^{-2} \left(-2 x \,{\mathrm e}^{2} \ln \left(2\right)+4 x^{2} {\mathrm e}^{2} {\mathrm e}^{3}-x \,{\mathrm e}^{3}+{\mathrm e}^{2} \left(4 x^{4}+x^{2}\right)+16 x^{4} {\mathrm e}+16 x^{4}\right)$&$60$\\ \hline \end{longtable}"," ",0,"4*x^2*exp(3)+4*x^4+16*x^4*exp(-1)-x*exp(1)-2*x*ln(2)+x^2+16*x^4*exp(-2)","A"
5567,1,25,20,0.026000," ","int(1/5*(15*x+15)*exp(x)-48/5*x^4+288/5*x^2-6*x-48,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x^{2}-48 x +\frac{96 x^{3}}{5}-\frac{48 x^{5}}{25}+3 \,{\mathrm e}^{x} x$&$25$\\ norman&$-3 x^{2}-48 x +\frac{96 x^{3}}{5}-\frac{48 x^{5}}{25}+3 \,{\mathrm e}^{x} x$&$25$\\ risch&$-3 x^{2}-48 x +\frac{96 x^{3}}{5}-\frac{48 x^{5}}{25}+3 \,{\mathrm e}^{x} x$&$25$\\ \hline \end{longtable}"," ",0,"-3*x^2-48*x+96/5*x^3-48/25*x^5+3*exp(x)*x","A"
5568,1,22,16,0.181000," ","int((-2097152*x^5+663552*x)/(65536*x^4*exp(5)^2+(131072*x^6+131072*x^4+41472*x^2)*exp(5)+65536*x^8+131072*x^6+107008*x^4+41472*x^2+6561),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x^{2}}{x^{4}+x^{2} {\mathrm e}^{5}+x^{2}+\frac{81}{256}}$&$22$\\ gosper&$\frac{4096 x^{2}}{256 x^{4}+256 x^{2} {\mathrm e}^{5}+256 x^{2}+81}$&$27$\\ norman&$\frac{4096 x^{2}}{256 x^{4}+256 x^{2} {\mathrm e}^{5}+256 x^{2}+81}$&$27$\\ default&$8 \left(\munderset{\textit{\_R} =\RootOf \left(6561+65536 \textit{\_Z}^{4}+\left(131072 \,{\mathrm e}^{5}+131072\right) \textit{\_Z}^{3}+\left(65536 \,{\mathrm e}^{10}+131072 \,{\mathrm e}^{5}+107008\right) \textit{\_Z}^{2}+\left(41472 \,{\mathrm e}^{5}+41472\right) \textit{\_Z} \right)}{\sum}\frac{\left(-256 \textit{\_R}^{2}+81\right) \ln \left(x^{2}-\textit{\_R} \right)}{81+512 \textit{\_R}^{3}+768 \textit{\_R}^{2} {\mathrm e}^{5}+256 \textit{\_R} \,{\mathrm e}^{10}+768 \textit{\_R}^{2}+512 \textit{\_R} \,{\mathrm e}^{5}+418 \textit{\_R} +81 \,{\mathrm e}^{5}}\right)$&$100$\\ \hline \end{longtable}"," ",0,"16*x^2/(x^4+x^2*exp(5)+x^2+81/256)","A"
5569,1,76,29,0.239000," ","int(((-2*x*exp(-exp(8)-exp(5)+2*x-1)+x)*ln(3*exp(x-ln(x)))+(1-x)*exp(-exp(8)-exp(5)+2*x-1)+x^2-x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\frac{{\mathrm e}^{x}}{x}\right) \left({\mathrm e}^{{\mathrm e}^{8}+{\mathrm e}^{5}+1}-\frac{{\mathrm e}^{2 x}}{x}\right) x \,{\mathrm e}^{-{\mathrm e}^{8}-{\mathrm e}^{5}-1}-\frac{\left(-2 \ln \left(3\right) {\mathrm e}^{{\mathrm e}^{8}+{\mathrm e}^{5}+1}+\frac{2 \ln \left(3\right) {\mathrm e}^{2 x}}{x}\right) x \,{\mathrm e}^{-{\mathrm e}^{8}-{\mathrm e}^{5}-1}}{2}$&$76$\\ default&$\ln \left(x \right) {\mathrm e}^{-{\mathrm e}^{8}-{\mathrm e}^{5}+2 x -1}-x \,{\mathrm e}^{-{\mathrm e}^{8}-{\mathrm e}^{5}+2 x -1}-\left(\ln \left(3 \,{\mathrm e}^{x -\ln \left(x \right)}\right)-x +\ln \left(x \right)\right) {\mathrm e}^{-{\mathrm e}^{8}-{\mathrm e}^{5}+2 x -1}+\ln \left(3 \,{\mathrm e}^{x -\ln \left(x \right)}\right) x$&$80$\\ \hline \end{longtable}"," ",0,"ln(exp(x)/x)*(exp(exp(8)+exp(5)+1)-exp(2*x)/x)*x*exp(-exp(8)-exp(5)-1)-1/2*(-2*ln(3)*exp(exp(8)+exp(5)+1)+2*ln(3)/x*exp(2*x))*x*exp(-exp(8)-exp(5)-1)","B"
5570,1,45,23,0.220000," ","int(1/2*(-x*(ln(21/5)+I*Pi)*exp(1+1/2*x)+2*ln(21/5)+2*I*Pi-2*x)/x/(ln(21/5)+I*Pi),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(i \pi +\ln \left(5\right)-\ln \left(21\right)\right) x}{\pi^{2}+\ln \left(21\right)^{2}-2 \ln \left(21\right) \ln \left(5\right)+\ln \left(5\right)^{2}}-{\mathrm e}^{1+\frac{x}{2}}+\ln \left(x \right)$&$45$\\ derivativedivides&$\frac{2 i \pi  \ln \left(\frac{x}{2}\right)-2 i \pi  \,{\mathrm e} \expIntegralEi \left(1, -\frac{x}{2}\right)-2 i \pi  \left({\mathrm e}^{1+\frac{x}{2}}-{\mathrm e} \expIntegralEi \left(1, -\frac{x}{2}\right)\right)-4-2 x -2 \ln \left(5\right) \ln \left(\frac{x}{2}\right)+2 \ln \left(21\right) \ln \left(\frac{x}{2}\right)+2 \,{\mathrm e}^{1+\frac{x}{2}} \ln \left(5\right)-2 \,{\mathrm e}^{1+\frac{x}{2}} \ln \left(21\right)}{2 \ln \left(\frac{21}{5}\right)+2 i \pi}$&$92$\\ default&$\frac{2 i \pi  \ln \left(\frac{x}{2}\right)-2 i \pi  \,{\mathrm e} \expIntegralEi \left(1, -\frac{x}{2}\right)-2 i \pi  \left({\mathrm e}^{1+\frac{x}{2}}-{\mathrm e} \expIntegralEi \left(1, -\frac{x}{2}\right)\right)-4-2 x -2 \ln \left(5\right) \ln \left(\frac{x}{2}\right)+2 \ln \left(21\right) \ln \left(\frac{x}{2}\right)+2 \,{\mathrm e}^{1+\frac{x}{2}} \ln \left(5\right)-2 \,{\mathrm e}^{1+\frac{x}{2}} \ln \left(21\right)}{2 \ln \left(\frac{21}{5}\right)+2 i \pi}$&$92$\\ risch&$-\frac{x}{\ln \left(3\right)+\ln \left(7\right)-\ln \left(5\right)+i \pi}-\frac{\ln \left(x \right) \ln \left(5\right)}{\ln \left(3\right)+\ln \left(7\right)-\ln \left(5\right)+i \pi}+\frac{\ln \left(x \right) \ln \left(7\right)}{\ln \left(3\right)+\ln \left(7\right)-\ln \left(5\right)+i \pi}+\frac{\ln \left(x \right) \ln \left(3\right)}{\ln \left(3\right)+\ln \left(7\right)-\ln \left(5\right)+i \pi}+\frac{i \ln \left(x \right) \pi}{\ln \left(3\right)+\ln \left(7\right)-\ln \left(5\right)+i \pi}-\frac{i {\mathrm e}^{1+\frac{x}{2}} \pi}{\ln \left(3\right)+\ln \left(7\right)-\ln \left(5\right)+i \pi}+\frac{{\mathrm e}^{1+\frac{x}{2}} \ln \left(5\right)}{\ln \left(3\right)+\ln \left(7\right)-\ln \left(5\right)+i \pi}-\frac{{\mathrm e}^{1+\frac{x}{2}} \ln \left(7\right)}{\ln \left(3\right)+\ln \left(7\right)-\ln \left(5\right)+i \pi}-\frac{{\mathrm e}^{1+\frac{x}{2}} \ln \left(3\right)}{\ln \left(3\right)+\ln \left(7\right)-\ln \left(5\right)+i \pi}$&$201$\\ \hline \end{longtable}"," ",0,"(I*Pi+ln(5)-ln(21))/(Pi^2+ln(21)^2-2*ln(21)*ln(5)+ln(5)^2)*x-exp(1+1/2*x)+ln(x)","A"
5571,1,22,19,0.047000," ","int(((10*x^3+10*x^2)*ln(3)-10*x^2+5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x^{2} \ln \left(3\right)+10 x \ln \left(3\right)-10 x -\frac{5}{x}$&$22$\\ risch&$5 x^{2} \ln \left(3\right)+10 x \ln \left(3\right)-10 x -\frac{5}{x}$&$22$\\ norman&$\frac{-5+\left(10 \ln \left(3\right)-10\right) x^{2}+5 x^{3} \ln \left(3\right)}{x}$&$24$\\ gosper&$\frac{5 x^{3} \ln \left(3\right)+10 x^{2} \ln \left(3\right)-10 x^{2}-5}{x}$&$26$\\ \hline \end{longtable}"," ",0,"5*x^2*ln(3)+10*x*ln(3)-10*x-5/x","A"
5572,1,142,33,0.198000," ","int(((x^5-4*x^4+4*x^3+x^2-5*x+3)*exp(x)*ln((x^2-1)/x)^2+((2*x^6-8*x^5+8*x^4+2*x^3-10*x^2+6*x)*exp(x)+x^8-2*x^7+6*x^6-4*x^5+2*x^4+6*x^3-9*x^2)*ln((x^2-1)/x)+(x^7-4*x^6+4*x^5+x^4-5*x^3+3*x^2)*exp(x)-x^8+2*x^7-8*x^6+8*x^5-16*x^4+6*x^3-9*x^2)/((4*x^8-8*x^7+24*x^6-16*x^5+8*x^4+24*x^3-36*x^2)*ln((x^2-1)/x)^2+(8*x^9-16*x^8+48*x^7-32*x^6+16*x^5+48*x^4-72*x^3)*ln((x^2-1)/x)+4*x^10-8*x^9+24*x^8-16*x^7+8*x^6+24*x^5-36*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}}{4 x \left(x^{2}-x +3\right)}+\frac{x}{-2 i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x^{2}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-1\right)}{x}\right)+2 i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-1\right)}{x}\right)^{2}+2 i \pi  \,\mathrm{csgn}\left(i \left(x^{2}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-1\right)}{x}\right)^{2}-2 i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}-1\right)}{x}\right)^{3}+4 x -4 \ln \left(x \right)+4 \ln \left(x^{2}-1\right)}$&$142$\\ \hline \end{longtable}"," ",0,"1/4*exp(x)/x/(x^2-x+3)+1/2*x/(-I*Pi*csgn(I/x)*csgn(I*(x^2-1))*csgn(I/x*(x^2-1))+I*Pi*csgn(I/x)*csgn(I/x*(x^2-1))^2+I*Pi*csgn(I*(x^2-1))*csgn(I/x*(x^2-1))^2-I*Pi*csgn(I/x*(x^2-1))^3+2*x-2*ln(x)+2*ln(x^2-1))","C"
5573,1,7,8,0.237000," ","int(-24/(5*x-20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{24 \ln \left(x -4\right)}{5}$&$7$\\ risch&$-\frac{24 \ln \left(x -4\right)}{5}$&$7$\\ norman&$-\frac{24 \ln \left(5 x -20\right)}{5}$&$9$\\ meijerg&$-\frac{24 \ln \left(-\frac{x}{4}+1\right)}{5}$&$9$\\ \hline \end{longtable}"," ",0,"-24/5*ln(x-4)","A"
5574,1,23,21,0.165000," ","int((80*x^2*exp(9)*exp(x)*ln(x)^2+160*x*exp(9)*ln(x)+32*x*exp(9)*exp(x)-32*exp(9))/(5*x^2*ln(x)^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 \,{\mathrm e}^{x +9}+16 \,{\mathrm e}^{9} \ln \left(\ln \left(x \right)^{2}+\frac{2}{5 x}\right)$&$23$\\ default&$-16 \,{\mathrm e}^{9} \ln \left(x \right)+16 \,{\mathrm e}^{9} \ln \left(5 x \ln \left(x \right)^{2}+2\right)+16 \,{\mathrm e}^{9} {\mathrm e}^{x}$&$28$\\ norman&$-16 \,{\mathrm e}^{9} \ln \left(x \right)+16 \,{\mathrm e}^{9} \ln \left(5 x \ln \left(x \right)^{2}+2\right)+16 \,{\mathrm e}^{9} {\mathrm e}^{x}$&$28$\\ \hline \end{longtable}"," ",0,"16*exp(x+9)+16*exp(9)*ln(ln(x)^2+2/5/x)","A"
5575,1,13,12,0.057000," ","int((2*x*exp(1)+8*x^2+1)*exp(2*x*exp(1)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 \left({\mathrm e}+2 x \right) x} x$&$13$\\ gosper&$x \,{\mathrm e}^{2 x \,{\mathrm e}+4 x^{2}}$&$15$\\ norman&$x \,{\mathrm e}^{2 x \,{\mathrm e}+4 x^{2}}$&$15$\\ default&$x \,{\mathrm e}^{2 x \,{\mathrm e}+4 x^{2}}-2 \,{\mathrm e} \left(\frac{{\mathrm e}^{2 x \,{\mathrm e}+4 x^{2}}}{8}+\frac{i {\mathrm e} \sqrt{\pi}\, {\mathrm e}^{-\frac{{\mathrm e}^{2}}{4}} \erf \left(2 i x +\frac{i {\mathrm e}}{2}\right)}{16}\right)+\frac{{\mathrm e}^{2 x \,{\mathrm e}+4 x^{2}+1}}{4}+\frac{i {\mathrm e} \sqrt{\pi}\, {\mathrm e}^{1-\frac{{\mathrm e}^{2}}{4}} \erf \left(2 i x +\frac{i {\mathrm e}}{2}\right)}{8}$&$104$\\ \hline \end{longtable}"," ",0,"exp(2*(exp(1)+2*x)*x)*x","A"
5576,1,37,27,0.470000," ","int((((2*x^2+x-1)*exp(5)+2*x^2-7*x-5)*exp(x^2+x)+(-2*x^3+2*x^2)*exp(5)^2+(-4*x^3+20*x^2-16*x+1)*exp(5)-2*x^3+18*x^2-48*x+33)/(x^2*exp(5)^2+(2*x^2-8*x)*exp(5)+x^2-8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+2 x -\frac{1}{x +x \,{\mathrm e}^{5}-4}+\frac{{\mathrm e}^{\left(x +1\right) x}}{x +x \,{\mathrm e}^{5}-4}$&$37$\\ norman&$\frac{\left(-{\mathrm e}^{5}-1\right) x^{3}+\left(2 \,{\mathrm e}^{5}+6\right) x^{2}+\left(-\frac{33}{4}-\frac{{\mathrm e}^{5}}{4}\right) x +{\mathrm e}^{x^{2}+x}}{x +x \,{\mathrm e}^{5}-4}$&$46$\\ \hline \end{longtable}"," ",0,"-x^2+2*x-1/(x+x*exp(5)-4)+1/(x+x*exp(5)-4)*exp((x+1)*x)","A"
5577,1,178,22,0.235000," ","int(((10*ln(x)-10)*ln(((ln(5)-6)*ln(x)+x)/ln(x))*exp(ln(((ln(5)-6)*ln(x)+x)/ln(x))^2)+((2*x^2+1)*ln(5)-12*x^2-6)*exp(x^2)*ln(x)^2+(2*x^3+x)*exp(x^2)*ln(x))/((5*ln(5)-30)*ln(x)^2+5*x*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x^{2}} x}{5}+{\mathrm e}^{\frac{\left(i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(5\right) \ln \left(x \right)-6 \ln \left(x \right)+x \right)}{\ln \left(x \right)}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(5\right) \ln \left(x \right)-6 \ln \left(x \right)+x \right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(5\right) \ln \left(x \right)-6 \ln \left(x \right)+x \right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(5\right) \ln \left(x \right)-6 \ln \left(x \right)+x \right)\right)+i \pi  \,\mathrm{csgn}\left(\frac{i \left(\ln \left(5\right) \ln \left(x \right)-6 \ln \left(x \right)+x \right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(\ln \left(5\right) \ln \left(x \right)-6 \ln \left(x \right)+x \right)\right)+2 \ln \left(\ln \left(x \right)\right)-2 \ln \left(\ln \left(5\right) \ln \left(x \right)-6 \ln \left(x \right)+x \right)\right)^{2}}{4}}$&$178$\\ \hline \end{longtable}"," ",0,"1/5*exp(x^2)*x+exp(1/4*(I*Pi*csgn(I/ln(x)*(ln(5)*ln(x)-6*ln(x)+x))^3-I*Pi*csgn(I/ln(x)*(ln(5)*ln(x)-6*ln(x)+x))^2*csgn(I/ln(x))-I*Pi*csgn(I/ln(x)*(ln(5)*ln(x)-6*ln(x)+x))^2*csgn(I*(ln(5)*ln(x)-6*ln(x)+x))+I*Pi*csgn(I/ln(x)*(ln(5)*ln(x)-6*ln(x)+x))*csgn(I/ln(x))*csgn(I*(ln(5)*ln(x)-6*ln(x)+x))+2*ln(ln(x))-2*ln(ln(5)*ln(x)-6*ln(x)+x))^2)","C"
5578,1,19,20,0.049000," ","int((4*x*exp(1)*exp(5)*exp(x)+4*x*exp(1)*exp(5)-1)/x/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \,{\mathrm e}-{\mathrm e}^{-5} \ln \left(x \right)+4 \,{\mathrm e}^{x +1}$&$19$\\ norman&$4 x \,{\mathrm e}+4 \,{\mathrm e} \,{\mathrm e}^{x}-{\mathrm e}^{-5} \ln \left(x \right)$&$21$\\ default&${\mathrm e}^{-5} \left(-\ln \left(x \right)+4 x \,{\mathrm e} \,{\mathrm e}^{5}+4 \,{\mathrm e} \,{\mathrm e}^{5} {\mathrm e}^{x}\right)$&$26$\\ \hline \end{longtable}"," ",0,"4*x*exp(1)-exp(-5)*ln(x)+4*exp(x+1)","A"
5579,1,28,27,0.245000," ","int(((x^3-3*x^2)*exp(2)*ln(3)*exp(x)+((4*x-12)*exp(4)+(x^3-4*x^2)*exp(2))*ln(3))/(x^3-3*x^2)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(3\right)-\frac{4 \,{\mathrm e}^{2} \ln \left(3\right)}{x}-\ln \left(3\right) \ln \left(x -3\right)+\ln \left(3\right) {\mathrm e}^{x}$&$28$\\ norman&$\frac{x^{2} \ln \left(3\right)+x \ln \left(3\right) {\mathrm e}^{x}-4 \,{\mathrm e}^{-2} {\mathrm e}^{4} \ln \left(3\right)}{x}-\ln \left(3\right) \ln \left(x -3\right)$&$37$\\ default&${\mathrm e}^{-2} \left(-{\mathrm e}^{2} \ln \left(3\right) \ln \left(x -3\right)+x \,{\mathrm e}^{2} \ln \left(3\right)+{\mathrm e}^{2} \ln \left(3\right) {\mathrm e}^{x}-\frac{4 \,{\mathrm e}^{4} \ln \left(3\right)}{x}\right)$&$39$\\ \hline \end{longtable}"," ",0,"x*ln(3)-4*exp(2)*ln(3)/x-ln(3)*ln(x-3)+ln(3)*exp(x)","A"
5580,1,19,19,0.046000," ","int(((3*x^5+18*x^4+27*x^3)*ln(x)^2+(-24*x-48)*ln(x)-8*x-24)/(2*x^5+12*x^4+18*x^3)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x}{2}+\frac{4}{x^{2} \ln \left(x \right) \left(3+x \right)}$&$19$\\ norman&$\frac{4-\frac{27 x^{2} \ln \left(x \right)}{2}+\frac{3 x^{4} \ln \left(x \right)}{2}}{x^{2} \left(3+x \right) \ln \left(x \right)}$&$30$\\ \hline \end{longtable}"," ",0,"3/2*x+4/x^2/ln(x)/(3+x)","A"
5581,1,28,23,0.125000," ","int((((x+9)*ln(3)+2*x^2+18*x)*ln(x+9)^2*exp(exp(x)+x)^2+(((-2*x-18)*ln(3)-4*x^2-36*x)*ln(x+9)^2+((-x^3-9*x^2)*exp(x)-x^3-7*x^2+18*x)*ln(x+9)-x^2)*exp(exp(x)+x)+((x+9)*ln(3)+2*x^2+18*x)*ln(x+9)^2+(-2*x^2-18*x)*ln(x+9)+x^2)/((x+9)*ln(x+9)^2*exp(exp(x)+x)^2+(-2*x-18)*ln(x+9)^2*exp(exp(x)+x)+(x+9)*ln(x+9)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(3\right)+x^{2}+\frac{x^{2}}{\ln \left(x +9\right) \left({\mathrm e}^{{\mathrm e}^{x}+x}-1\right)}$&$28$\\ \hline \end{longtable}"," ",0,"x*ln(3)+x^2+x^2/ln(x+9)/(exp(exp(x)+x)-1)","A"
5582,1,595,30,0.593000," ","int(((((x^2-1)*exp(20)+x^2-1)*ln(1-x)+(-2*x^3+2*x)*exp(20)-3*x^3+3*x)*ln(((x*exp(20)+x)*ln(1-x)-2*x^2*exp(20)-3*x^2)/((x+1)*exp(20)+x+1))+((x-1)*exp(20)+x-1)*ln(1-x)+(-2*x^3-x^2+5*x)*exp(20)-3*x^3-2*x^2+7*x)/(((x^2-1)*exp(20)+x^2-1)*ln(1-x)+(-2*x^3+2*x)*exp(20)-3*x^3+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(\left(x -\frac{\ln \left(1-x \right)}{2}\right) {\mathrm e}^{20}+\frac{3 x}{2}-\frac{\ln \left(1-x \right)}{2}\right)-\ln \left(x +1\right) x +x \ln \left(x \right)+\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(-\left(x -\frac{\ln \left(1-x \right)}{2}\right) {\mathrm e}^{20}-\frac{3 x}{2}+\frac{\ln \left(1-x \right)}{2}\right)}{x +1}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x +1}\right) \mathrm{csgn}\left(i \left(-\left(x -\frac{\ln \left(1-x \right)}{2}\right) {\mathrm e}^{20}-\frac{3 x}{2}+\frac{\ln \left(1-x \right)}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\left(x -\frac{\ln \left(1-x \right)}{2}\right) {\mathrm e}^{20}-\frac{3 x}{2}+\frac{\ln \left(1-x \right)}{2}\right)}{x +1}\right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(-\left(x -\frac{\ln \left(1-x \right)}{2}\right) {\mathrm e}^{20}-\frac{3 x}{2}+\frac{\ln \left(1-x \right)}{2}\right)}{x +1}\right) \mathrm{csgn}\left(\frac{i x \left(-\left(x -\frac{\ln \left(1-x \right)}{2}\right) {\mathrm e}^{20}-\frac{3 x}{2}+\frac{\ln \left(1-x \right)}{2}\right)}{x +1}\right)}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(-\left(x -\frac{\ln \left(1-x \right)}{2}\right) {\mathrm e}^{20}-\frac{3 x}{2}+\frac{\ln \left(1-x \right)}{2}\right)}{x +1}\right)^{3}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x +1}\right) \mathrm{csgn}\left(\frac{i \left(-\left(x -\frac{\ln \left(1-x \right)}{2}\right) {\mathrm e}^{20}-\frac{3 x}{2}+\frac{\ln \left(1-x \right)}{2}\right)}{x +1}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(-\left(x -\frac{\ln \left(1-x \right)}{2}\right) {\mathrm e}^{20}-\frac{3 x}{2}+\frac{\ln \left(1-x \right)}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\left(x -\frac{\ln \left(1-x \right)}{2}\right) {\mathrm e}^{20}-\frac{3 x}{2}+\frac{\ln \left(1-x \right)}{2}\right)}{x +1}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i \left(-\left(x -\frac{\ln \left(1-x \right)}{2}\right) {\mathrm e}^{20}-\frac{3 x}{2}+\frac{\ln \left(1-x \right)}{2}\right)}{x +1}\right) \mathrm{csgn}\left(\frac{i x \left(-\left(x -\frac{\ln \left(1-x \right)}{2}\right) {\mathrm e}^{20}-\frac{3 x}{2}+\frac{\ln \left(1-x \right)}{2}\right)}{x +1}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i x \left(-\left(x -\frac{\ln \left(1-x \right)}{2}\right) {\mathrm e}^{20}-\frac{3 x}{2}+\frac{\ln \left(1-x \right)}{2}\right)}{x +1}\right)^{3}}{2}+i x \pi -i \pi  x \mathrm{csgn}\left(\frac{i x \left(-\left(x -\frac{\ln \left(1-x \right)}{2}\right) {\mathrm e}^{20}-\frac{3 x}{2}+\frac{\ln \left(1-x \right)}{2}\right)}{x +1}\right)^{2}-\ln \left({\mathrm e}^{20}+1\right) x +x \ln \left(2\right)$&$595$\\ \hline \end{longtable}"," ",0,"x*ln((x-1/2*ln(1-x))*exp(20)+3/2*x-1/2*ln(1-x))-ln(x+1)*x+x*ln(x)+1/2*I*Pi*x*csgn(I*x)*csgn(I*x*(-(x-1/2*ln(1-x))*exp(20)-3/2*x+1/2*ln(1-x))/(x+1))^2-1/2*I*Pi*x*csgn(I/(x+1))*csgn(I*(-(x-1/2*ln(1-x))*exp(20)-3/2*x+1/2*ln(1-x)))*csgn(I/(x+1)*(-(x-1/2*ln(1-x))*exp(20)-3/2*x+1/2*ln(1-x)))-1/2*I*Pi*x*csgn(I*x)*csgn(I/(x+1)*(-(x-1/2*ln(1-x))*exp(20)-3/2*x+1/2*ln(1-x)))*csgn(I*x*(-(x-1/2*ln(1-x))*exp(20)-3/2*x+1/2*ln(1-x))/(x+1))+1/2*I*Pi*x*csgn(I/(x+1)*(-(x-1/2*ln(1-x))*exp(20)-3/2*x+1/2*ln(1-x)))^3+1/2*I*Pi*x*csgn(I/(x+1))*csgn(I/(x+1)*(-(x-1/2*ln(1-x))*exp(20)-3/2*x+1/2*ln(1-x)))^2-1/2*I*Pi*x*csgn(I*(-(x-1/2*ln(1-x))*exp(20)-3/2*x+1/2*ln(1-x)))*csgn(I/(x+1)*(-(x-1/2*ln(1-x))*exp(20)-3/2*x+1/2*ln(1-x)))^2-1/2*I*Pi*x*csgn(I/(x+1)*(-(x-1/2*ln(1-x))*exp(20)-3/2*x+1/2*ln(1-x)))*csgn(I*x*(-(x-1/2*ln(1-x))*exp(20)-3/2*x+1/2*ln(1-x))/(x+1))^2-1/2*I*Pi*x*csgn(I*x*(-(x-1/2*ln(1-x))*exp(20)-3/2*x+1/2*ln(1-x))/(x+1))^3+I*Pi*x-I*Pi*x*csgn(I*x*(-(x-1/2*ln(1-x))*exp(20)-3/2*x+1/2*ln(1-x))/(x+1))^2-ln(exp(20)+1)*x+x*ln(2)","C"
5583,1,26,18,0.085000," ","int(1/15*(3*x^5+15*x^3-30*x^2-4)*exp(1/15*(x^5+15*x^3+30*x^2+2)/x^2)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{\frac{x^{5}+15 x^{3}+30 x^{2}+2}{15 x^{2}}}}{x^{2}}$&$26$\\ norman&$\frac{{\mathrm e}^{\frac{x^{5}+15 x^{3}+30 x^{2}+2}{15 x^{2}}}}{x^{2}}$&$26$\\ risch&$\frac{{\mathrm e}^{\frac{x^{5}+15 x^{3}+30 x^{2}+2}{15 x^{2}}}}{x^{2}}$&$26$\\ \hline \end{longtable}"," ",0,"1/x^2*exp(1/15*(x^5+15*x^3+30*x^2+2)/x^2)","A"
5584,1,30,24,0.033000," ","int(1/3*((-4*x-8)*ln(x)^3+(x^3+9*x^2+16*x+4)*ln(x)^2+(-2*x^4-8*x^3-6*x^2-8*x)*ln(x)+x^5+3*x^4-2*x^3+4*x^2)*exp(((x^2+4*x+4)*ln(x)+x^3+4*x^2+4*x)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(\ln \left(x \right)^{2}-2 x \ln \left(x \right)+x^{2}\right) {\mathrm e}^{\frac{\left(2+x \right)^{2} \left(x +\ln \left(x \right)\right)}{x^{2}}}}{3}$&$30$\\ \hline \end{longtable}"," ",0,"1/3*(ln(x)^2-2*x*ln(x)+x^2)*exp((2+x)^2*(x+ln(x))/x^2)","A"
5585,1,19,19,0.046000," ","int(((40*ln(x)^2-20)*exp(1/ln(x))+(-9*x+58)*ln(x)^2)/(100*x*ln(x)^2*exp(1/ln(x))+(-15*x^2+145*x)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(x \right)}{5}+\frac{\ln \left(-\frac{3 x}{20}+{\mathrm e}^{\frac{1}{\ln \left(x \right)}}+\frac{29}{20}\right)}{5}$&$19$\\ norman&$\frac{2 \ln \left(x \right)}{5}+\frac{\ln \left(3 x -20 \,{\mathrm e}^{\frac{1}{\ln \left(x \right)}}-29\right)}{5}$&$21$\\ \hline \end{longtable}"," ",0,"2/5*ln(x)+1/5*ln(-3/20*x+exp(1/ln(x))+29/20)","A"
5586,1,18,17,0.098000," ","int(((-2*x^3+800*x^2)*ln(5*x-2000)-2*x^3-20*x+8000)/((x^5-400*x^4)*ln(5*x-2000)^2+(-20*x^3+8000*x^2)*ln(5*x-2000)+100*x-40000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x}{\ln \left(5 x -2000\right) x^{2}-10}$&$18$\\ risch&$\frac{2 x}{\ln \left(5 x -2000\right) x^{2}-10}$&$18$\\ \hline \end{longtable}"," ",0,"2*x/(ln(5*x-2000)*x^2-10)","A"
5587,0,0,21,0.079000," ","int(((-x^3-4)*ln((x^3+4)/x^2)*ln(3/11*ln((x^3+4)/x^2))^3+(2*x^4+8*x)*ln((x^3+4)/x^2)*ln(3/11*ln((x^3+4)/x^2))-2*x^4+16*x)/(x^3+4)/ln((x^3+4)/x^2)/ln(3/11*ln((x^3+4)/x^2))^3,x)","\[\int \frac{\left(-x^{3}-4\right) \ln \left(\frac{x^{3}+4}{x^{2}}\right) \ln \left(\frac{3 \ln \left(\frac{x^{3}+4}{x^{2}}\right)}{11}\right)^{3}+\left(2 x^{4}+8 x \right) \ln \left(\frac{x^{3}+4}{x^{2}}\right) \ln \left(\frac{3 \ln \left(\frac{x^{3}+4}{x^{2}}\right)}{11}\right)-2 x^{4}+16 x}{\left(x^{3}+4\right) \ln \left(\frac{x^{3}+4}{x^{2}}\right) \ln \left(\frac{3 \ln \left(\frac{x^{3}+4}{x^{2}}\right)}{11}\right)^{3}}\, dx\]"," ",0,"int(((-x^3-4)*ln((x^3+4)/x^2)*ln(3/11*ln((x^3+4)/x^2))^3+(2*x^4+8*x)*ln((x^3+4)/x^2)*ln(3/11*ln((x^3+4)/x^2))-2*x^4+16*x)/(x^3+4)/ln((x^3+4)/x^2)/ln(3/11*ln((x^3+4)/x^2))^3,x)","F"
5588,1,10,12,0.069000," ","int(1/5*((1-x)*exp(x)+5*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\frac{{\mathrm e}^{x}}{5 x}$&$10$\\ risch&$x -\frac{{\mathrm e}^{x}}{5 x}$&$10$\\ norman&$\frac{x^{2}-\frac{{\mathrm e}^{x}}{5}}{x}$&$13$\\ \hline \end{longtable}"," ",0,"x-1/5*exp(x)/x","A"
5589,1,22,21,0.070000," ","int((((-4*exp(x)*x^3-12*x^3-2*x^2)*exp(exp(x)+3*x+24)^2+2*x)*exp(x*exp(exp(x)+3*x+24)^2)+2*x)/(exp(x*exp(exp(x)+3*x+24)^2)^3+3*exp(x*exp(exp(x)+3*x+24)^2)^2+3*exp(x*exp(exp(x)+3*x+24)^2)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{\left(1+{\mathrm e}^{x \,{\mathrm e}^{2 \,{\mathrm e}^{x}+6 x +48}}\right)^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"x^2/(1+exp(x*exp(2*exp(x)+6*x+48)))^2","A"
5590,1,36,24,0.195000," ","int((81*x^4+432*x^3+279*x^2-192*x+16)*exp((-81*x^3+9*x^2-129*x-80)/(18*x^3-3*x^2+26*x+16))/(324*x^6-108*x^5+945*x^4+420*x^3+580*x^2+832*x+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{81 x^{3}-9 x^{2}+129 x +80}{18 x^{3}-3 x^{2}+26 x +16}}$&$36$\\ risch&${\mathrm e}^{-\frac{81 x^{3}-9 x^{2}+129 x +80}{\left(2 x +1\right) \left(9 x^{2}-6 x +16\right)}}$&$38$\\ norman&$\frac{26 x \,{\mathrm e}^{\frac{-81 x^{3}+9 x^{2}-129 x -80}{18 x^{3}-3 x^{2}+26 x +16}}-3 x^{2} {\mathrm e}^{\frac{-81 x^{3}+9 x^{2}-129 x -80}{18 x^{3}-3 x^{2}+26 x +16}}+18 x^{3} {\mathrm e}^{\frac{-81 x^{3}+9 x^{2}-129 x -80}{18 x^{3}-3 x^{2}+26 x +16}}+16 \,{\mathrm e}^{\frac{-81 x^{3}+9 x^{2}-129 x -80}{18 x^{3}-3 x^{2}+26 x +16}}}{18 x^{3}-3 x^{2}+26 x +16}$&$171$\\ \hline \end{longtable}"," ",0,"exp(-(81*x^3-9*x^2+129*x+80)/(18*x^3-3*x^2+26*x+16))","A"
5591,0,0,27,0.088000," ","int(((30*x+150)*ln(1/x*(5+x))*ln(ln(1/x*(5+x)))^2+((5+x)*ln(1/x*(5+x))*ln(ln(2))+(-4*x^2-20*x)*ln(1/x*(5+x)))*ln(ln(1/x*(5+x)))+5*ln(ln(2))-10*x)/(25+5*x)/ln(1/x*(5+x))/ln(ln(1/x*(5+x)))^2,x)","\[\int \frac{\left(30 x +150\right) \ln \left(\frac{5+x}{x}\right) \ln \left(\ln \left(\frac{5+x}{x}\right)\right)^{2}+\left(\left(5+x \right) \ln \left(\frac{5+x}{x}\right) \ln \left(\ln \left(2\right)\right)+\left(-4 x^{2}-20 x \right) \ln \left(\frac{5+x}{x}\right)\right) \ln \left(\ln \left(\frac{5+x}{x}\right)\right)+5 \ln \left(\ln \left(2\right)\right)-10 x}{\left(25+5 x \right) \ln \left(\frac{5+x}{x}\right) \ln \left(\ln \left(\frac{5+x}{x}\right)\right)^{2}}\, dx\]"," ",0,"int(((30*x+150)*ln(1/x*(5+x))*ln(ln(1/x*(5+x)))^2+((5+x)*ln(1/x*(5+x))*ln(ln(2))+(-4*x^2-20*x)*ln(1/x*(5+x)))*ln(ln(1/x*(5+x)))+5*ln(ln(2))-10*x)/(25+5*x)/ln(1/x*(5+x))/ln(ln(1/x*(5+x)))^2,x)","F"
5592,1,75,21,0.243000," ","int((((4*x-4)*ln(3)^3+(12*x^2-12*x)*ln(3)^2+(12*x^3-12*x^2+16*x-16)*ln(3)+4*x^4-4*x^3+16*x^2-16*x)*ln(x^2-2*x+1)+2*ln(3)^4+8*x*ln(3)^3+(12*x^2+16)*ln(3)^2+(8*x^3+32*x)*ln(3)+2*x^4+16*x^2+44)/(x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(4 x \ln \left(3\right)^{3}+6 x^{2} \ln \left(3\right)^{2}+4 x^{3} \ln \left(3\right)+x^{4}+16 x \ln \left(3\right)+8 x^{2}\right) \ln \left(x^{2}-2 x +1\right)+2 \ln \left(3\right)^{4} \ln \left(x -1\right)+16 \ln \left(3\right)^{2} \ln \left(x -1\right)+44 \ln \left(x -1\right)$&$75$\\ norman&$\left(\ln \left(3\right)^{4}+8 \ln \left(3\right)^{2}+22\right) \ln \left(x^{2}-2 x +1\right)+\ln \left(x^{2}-2 x +1\right) x^{4}+\left(8+6 \ln \left(3\right)^{2}\right) x^{2} \ln \left(x^{2}-2 x +1\right)+\left(4 \ln \left(3\right)^{3}+16 \ln \left(3\right)\right) x \ln \left(x^{2}-2 x +1\right)+4 \ln \left(3\right) \ln \left(x^{2}-2 x +1\right) x^{3}$&$96$\\ default&$4 \ln \left(3\right) \ln \left(x^{2}-2 x +1\right) x^{3}+16 \ln \left(3\right) \ln \left(x^{2}-2 x +1\right) x +6 \ln \left(3\right)^{2} \ln \left(x^{2}-2 x +1\right) x^{2}+16 \ln \left(3\right)^{2} \ln \left(x -1\right)+4 \ln \left(3\right)^{3} \ln \left(x^{2}-2 x +1\right) x +2 \ln \left(3\right)^{4} \ln \left(x -1\right)+44 \ln \left(x -1\right)+\ln \left(x^{2}-2 x +1\right) x^{4}+8 x^{2} \ln \left(x^{2}-2 x +1\right)$&$119$\\ \hline \end{longtable}"," ",0,"(4*x*ln(3)^3+6*x^2*ln(3)^2+4*x^3*ln(3)+x^4+16*x*ln(3)+8*x^2)*ln(x^2-2*x+1)+2*ln(3)^4*ln(x-1)+16*ln(3)^2*ln(x-1)+44*ln(x-1)","B"
5593,1,55,22,0.714000," ","int(((-x^2+x)*exp(1)*ln(x)*exp(x/exp(x))*ln(125*exp(2)*ln(x)^2)+2*exp(x))/(x*exp(x)*ln(x)*ln(125*exp(2)*ln(x)^2)*ln(ln(125*exp(2)*ln(x)^2))+x*exp(1)*exp(x)*ln(x)*exp(x/exp(x))*ln(125*exp(2)*ln(x)^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{1+x \,{\mathrm e}^{-x}}+\ln \left(3 \ln \left(5\right)+2+2 \ln \left(\ln \left(x \right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \left(-\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)+\mathrm{csgn}\left(i \ln \left(x \right)\right)\right)^{2}}{2}\right)\right)$&$55$\\ \hline \end{longtable}"," ",0,"ln(exp(1+x*exp(-x))+ln(3*ln(5)+2+2*ln(ln(x))-1/2*I*Pi*csgn(I*ln(x)^2)*(-csgn(I*ln(x)^2)+csgn(I*ln(x)))^2))","C"
5594,1,20,21,0.669000," ","int(-5/((x^2-6*x+9)*exp(16/exp(4*exp(9))^2)+2*x^2-12*x+18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5}{\left({\mathrm e}^{16 \,{\mathrm e}^{-8 \,{\mathrm e}^{9}}}+2\right) \left(x -3\right)}$&$20$\\ default&$\frac{5}{\left({\mathrm e}^{16 \,{\mathrm e}^{-8 \,{\mathrm e}^{9}}}+2\right) \left(x -3\right)}$&$22$\\ meijerg&$-\frac{5 x}{9 \left({\mathrm e}^{16 \,{\mathrm e}^{-8 \,{\mathrm e}^{9}}}+2\right) \left(1-\frac{x}{3}\right)}$&$23$\\ risch&$\frac{5}{{\mathrm e}^{16 \,{\mathrm e}^{-8 \,{\mathrm e}^{9}}} x -3 \,{\mathrm e}^{16 \,{\mathrm e}^{-8 \,{\mathrm e}^{9}}}+2 x -6}$&$30$\\ gosper&$\frac{5}{{\mathrm e}^{16 \,{\mathrm e}^{-8 \,{\mathrm e}^{9}}} x -3 \,{\mathrm e}^{16 \,{\mathrm e}^{-8 \,{\mathrm e}^{9}}}+2 x -6}$&$34$\\ \hline \end{longtable}"," ",0,"5/(exp(1/exp(exp(9))^8)^16+2)/(x-3)","A"
5595,1,17,17,0.214000," ","int((((2*ln(2)+6*x)*exp(x)+6)*exp(exp(x))+4*ln(2)+24*x)/((2*ln(2)+6*x)*exp(exp(x))+4*x*ln(2)+12*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(2 x +{\mathrm e}^{{\mathrm e}^{x}}\right)+\ln \left(3 x +\ln \left(2\right)\right)$&$17$\\ risch&$\ln \left(2 x +{\mathrm e}^{{\mathrm e}^{x}}\right)+\ln \left(3 x +\ln \left(2\right)\right)$&$17$\\ \hline \end{longtable}"," ",0,"ln(2*x+exp(exp(x)))+ln(3*x+ln(2))","A"
5596,1,21,19,0.018000," ","int((729*x*ln(x)+162*x^3-729*x)/(5832*ln(x)^3+(-3888*x^2+8748*x)*ln(x)^2+(864*x^4-3888*x^3+4374*x^2)*ln(x)-64*x^6+432*x^5-972*x^4+729*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{81 x^{2}}{4 \left(4 x^{2}-9 x -18 \ln \left(x \right)\right)^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"81/4*x^2/(4*x^2-9*x-18*ln(x))^2","A"
5597,1,22,21,0.197000," ","int(((x^5+x^4+4*x^2+4*x)*exp(x)+x^4+2*x^3-8*x-4)*exp(exp(x)-5)*exp((x^3+4)*exp(exp(x)-5)/(3*x^2+3*x))/(3*x^4+6*x^3+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{x}-5} \left(x^{3}+4\right)}{3 \left(x +1\right) x}}$&$22$\\ \hline \end{longtable}"," ",0,"exp(1/3*exp(exp(x)-5)/(x+1)/x*(x^3+4))","A"
5598,1,10,20,0.312000," ","int((x^2+12*x+17)/(x^2+12*x+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{19}{x +6}$&$10$\\ risch&$x +\frac{19}{x +6}$&$10$\\ gosper&$\frac{x^{2}-17}{x +6}$&$12$\\ norman&$\frac{x^{2}-17}{x +6}$&$12$\\ meijerg&$-\frac{55 x}{36 \left(1+\frac{x}{6}\right)}+\frac{x \left(\frac{x}{2}+6\right)}{\frac{x}{2}+3}$&$27$\\ \hline \end{longtable}"," ",0,"x+19/(x+6)","A"
5599,1,22,25,0.234000," ","int(((9*x*exp(2)^2-6*x^2*exp(2)+x^3)*ln(x)^2+(-x*ln(5)+6*x^2*exp(2)-2*x^3)*ln(x)+3*exp(2)*ln(5)+x^3)/((9*x*exp(2)^2-6*x^2*exp(2)+x^3)*ln(x)^2+(6*x^2*exp(2)-2*x^3)*ln(x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\frac{\ln \left(5\right)}{3 \,{\mathrm e}^{2} \ln \left(x \right)-x \ln \left(x \right)+x}$&$22$\\ risch&$x -\frac{\ln \left(5\right)}{3 \,{\mathrm e}^{2} \ln \left(x \right)-x \ln \left(x \right)+x}$&$22$\\ norman&$\frac{x^{2}+3 \,{\mathrm e}^{2} x -x^{2} \ln \left(x \right)+9 \,{\mathrm e}^{4} \ln \left(x \right)-\ln \left(5\right)}{3 \,{\mathrm e}^{2} \ln \left(x \right)-x \ln \left(x \right)+x}$&$45$\\ \hline \end{longtable}"," ",0,"x-ln(5)/(3*exp(2)*ln(x)-x*ln(x)+x)","A"
5600,0,0,23,0.225000," ","int(((x*ln(ln(2)/exp(x)/x)-1)*ln((-x*ln(ln(2)/exp(x)/x)+1)/x)+20*x*ln(ln(2)/exp(x)/x)-x^2-x-19)*exp(x*ln((-x*ln(ln(2)/exp(x)/x)+1)/x)+20*x)/(x*ln(ln(2)/exp(x)/x)-1),x)","\[\int \frac{\left(\left(x \ln \left(\frac{\ln \left(2\right) {\mathrm e}^{-x}}{x}\right)-1\right) \ln \left(\frac{-x \ln \left(\frac{\ln \left(2\right) {\mathrm e}^{-x}}{x}\right)+1}{x}\right)+20 x \ln \left(\frac{\ln \left(2\right) {\mathrm e}^{-x}}{x}\right)-x^{2}-x -19\right) {\mathrm e}^{x \ln \left(\frac{-x \ln \left(\frac{\ln \left(2\right) {\mathrm e}^{-x}}{x}\right)+1}{x}\right)+20 x}}{x \ln \left(\frac{\ln \left(2\right) {\mathrm e}^{-x}}{x}\right)-1}\, dx\]"," ",0,"int(((x*ln(ln(2)/exp(x)/x)-1)*ln((-x*ln(ln(2)/exp(x)/x)+1)/x)+20*x*ln(ln(2)/exp(x)/x)-x^2-x-19)*exp(x*ln((-x*ln(ln(2)/exp(x)/x)+1)/x)+20*x)/(x*ln(ln(2)/exp(x)/x)-1),x)","F"
5601,1,11,10,0.239000," ","int((20*x+16)*ln(5/8*x^2+x)/(5*x^2+8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{5}{8} x^{2}+x \right)^{2}$&$11$\\ risch&$\ln \left(\frac{5}{8} x^{2}+x \right)^{2}$&$11$\\ default&$2 \ln \left(5 x +8\right) \ln \left(5 x^{2}+8 x \right)-2 \left(\ln \left(5 x +8\right)-\ln \left(\frac{5 x}{8}+1\right)\right) \ln \left(-\frac{5 x}{8}\right)-\ln \left(5 x +8\right)^{2}+2 \ln \left(x \right) \ln \left(5 x^{2}+8 x \right)-2 \ln \left(x \right) \ln \left(\frac{5 x}{8}+1\right)-\ln \left(x \right)^{2}-6 \ln \left(2\right) \ln \left(x \left(5 x +8\right)\right)$&$93$\\ \hline \end{longtable}"," ",0,"ln(5/8*x^2+x)^2","A"
5602,1,33,30,0.163000," ","int(((-x^5-20*x^4-160*x^3-600*x^2-900*x)*exp(5*x^2/(x^2+10*x+30))*ln(x)+(x^4+20*x^3+160*x^2+600*x+900)*exp(5*x^2/(x^2+10*x+30))-x^6-19*x^5-190*x^4-740*x^3-300*x^2+900*x)/(x^5+20*x^4+160*x^3+600*x^2+900*x)/exp(5*x^2/(x^2+10*x+30))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right) {\mathrm e}^{-x}+x \,{\mathrm e}^{-\frac{x \left(x^{2}+15 x +30\right)}{x^{2}+10 x +30}}$&$33$\\ default&${\mathrm e}^{\frac{5 x^{2}}{x^{2}+10 x +30}} {\mathrm e}^{-\frac{x \left(x^{2}+15 x +30\right)}{x^{2}+10 x +30}} \ln \left(x \right)+\frac{x^{3} {\mathrm e}^{-\frac{x \left(x^{2}+15 x +30\right)}{x^{2}+10 x +30}}+30 x \,{\mathrm e}^{-\frac{x \left(x^{2}+15 x +30\right)}{x^{2}+10 x +30}}+10 x^{2} {\mathrm e}^{-\frac{x \left(x^{2}+15 x +30\right)}{x^{2}+10 x +30}}}{x^{2}+10 x +30}$&$133$\\ \hline \end{longtable}"," ",0,"ln(x)*exp(-x)+x*exp(-x*(x^2+15*x+30)/(x^2+10*x+30))","A"
5603,1,220,23,0.316000," ","int((((-9*x^3+6*x^2)*ln(x)^2+(21*x^3-14*x^2)*ln(x))*ln((6*x^2-4*x)*ln(x))+(-6*x^3+2*x^2)*ln(x)^2+(9*x^3-2*x^2)*ln(x)+6*x^3-4*x^2)/((3*x-2)*ln(x)^3+(-12*x+8)*ln(x)^2+(12*x-8)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{3} \ln \left(x -\frac{2}{3}\right)}{\ln \left(x \right)-2}-\frac{x^{3} \left(i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right) \left(x -\frac{2}{3}\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -\frac{2}{3}\right)\right)^{2}-i \pi  \mathrm{csgn}\left(i x \ln \left(x \right) \left(x -\frac{2}{3}\right)\right)^{3}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -\frac{2}{3}\right)\right) \mathrm{csgn}\left(i x \ln \left(x \right) \left(x -\frac{2}{3}\right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(x -\frac{2}{3}\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -\frac{2}{3}\right)\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \left(x -\frac{2}{3}\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -\frac{2}{3}\right)\right)+i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right) \left(x -\frac{2}{3}\right)\right) \mathrm{csgn}\left(i x \ln \left(x \right) \left(x -\frac{2}{3}\right)\right)^{2}-i \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(x -\frac{2}{3}\right)\right)^{3}+2 \ln \left(3\right)+2 \ln \left(2\right)+2 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)\right)}{2 \left(\ln \left(x \right)-2\right)}$&$220$\\ \hline \end{longtable}"," ",0,"-x^3/(ln(x)-2)*ln(x-2/3)-1/2*x^3*(I*Pi*csgn(I*x)*csgn(I*x*ln(x)*(x-2/3))^2+I*Pi*csgn(I*ln(x))*csgn(I*ln(x)*(x-2/3))^2-I*Pi*csgn(I*x*ln(x)*(x-2/3))^3-I*Pi*csgn(I*x)*csgn(I*ln(x)*(x-2/3))*csgn(I*x*ln(x)*(x-2/3))+I*Pi*csgn(I*(x-2/3))*csgn(I*ln(x)*(x-2/3))^2-I*Pi*csgn(I*ln(x))*csgn(I*(x-2/3))*csgn(I*ln(x)*(x-2/3))+I*Pi*csgn(I*ln(x)*(x-2/3))*csgn(I*x*ln(x)*(x-2/3))^2-I*Pi*csgn(I*ln(x)*(x-2/3))^3+2*ln(3)+2*ln(2)+2*ln(x)+2*ln(ln(x)))/(ln(x)-2)","C"
5604,1,119,17,0.095000," ","int((((-ln(x)-65536)*ln(x^2)+2*ln(x)+131072)*ln(ln(x)+65536)+(-223*ln(x)-14614529)*ln(x^2)+446*ln(x)+29229056)/(ln(x)+65536)/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 i x \ln \left(\ln \left(x \right)+65536\right)}{4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}-\frac{446 i x}{4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}$&$119$\\ \hline \end{longtable}"," ",0,"-2*I*x/(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*ln(ln(x)+65536)-446*I*x/(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)","C"
5605,1,21,22,0.046000," ","int((((4*x^5+4*x^4-4*x^3-4*x^2)*exp(x)-8*x^3+4*x)*ln(x)^2+(-4*x^3+4*x)*ln(x))/exp(exp(x)*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(x \right)^{2} \left(x^{2}-1\right) x^{2} {\mathrm e}^{-2 \,{\mathrm e}^{x} x}$&$21$\\ \hline \end{longtable}"," ",0,"-2*ln(x)^2*(x^2-1)*x^2*exp(-2*exp(x)*x)","A"
5606,1,13,22,0.079000," ","int(1/9*(exp(1/3*(x+1)/x)+9*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x -\frac{{\mathrm e}^{\frac{1}{3}+\frac{1}{3 x}}}{3}$&$13$\\ default&$x -\frac{{\mathrm e}^{\frac{1}{3}+\frac{1}{3 x}}}{3}$&$13$\\ risch&$x -\frac{{\mathrm e}^{\frac{x +1}{3 x}}}{3}$&$14$\\ norman&$\frac{x^{2}-\frac{x \,{\mathrm e}^{\frac{x +1}{3 x}}}{3}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"x-1/3*exp(1/3+1/3/x)","A"
5607,1,40,21,0.051000," ","int(1/4*((-2*exp(2)-4*x)*ln(x)+(x-3)*exp(2)-4*x)/x^3/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left({\mathrm e}^{2}+4 x \right) \ln \left(x \right)}{4 \ln \left(2\right) x^{2}}-\frac{{\mathrm e}^{2} x -2 \,{\mathrm e}^{2}-8 x}{4 \ln \left(2\right) x^{2}}$&$40$\\ norman&$\frac{\frac{x \ln \left(x \right)}{\ln \left(2\right)}+\frac{{\mathrm e}^{2}}{2 \ln \left(2\right)}-\frac{\left(-8+{\mathrm e}^{2}\right) x}{4 \ln \left(2\right)}+\frac{{\mathrm e}^{2} \ln \left(x \right)}{4 \ln \left(2\right)}}{x^{2}}$&$43$\\ default&$\frac{-2 \,{\mathrm e}^{2} \left(-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)-\frac{{\mathrm e}^{2}}{x}+\frac{4 \ln \left(x \right)}{x}+\frac{8}{x}+\frac{3 \,{\mathrm e}^{2}}{2 x^{2}}}{4 \ln \left(2\right)}$&$51$\\ \hline \end{longtable}"," ",0,"1/4/ln(2)*(exp(2)+4*x)/x^2*ln(x)-1/4/ln(2)*(exp(2)*x-2*exp(2)-8*x)/x^2","A"
5608,1,26,24,0.324000," ","int(((((2*x+1)*exp(x)-2)*exp(exp(x)-exp(1))*exp(exp(exp(x)-exp(1))/(4*x+2))+8*x^2+8*x+2)*exp(exp(exp(exp(x)-exp(1))/(4*x+2))+exp(25)+x)+8*x^2+8*x+2)/(8*x^2+8*x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{x}-{\mathrm e}}}{4 x +2}}+{\mathrm e}^{25}+x}+x$&$26$\\ \hline \end{longtable}"," ",0,"x+exp(exp(1/2*exp(exp(x)-exp(1))/(2*x+1))+exp(25)+x)","A"
5609,1,24,22,0.165000," ","int(((-1000*x-100)*ln(x)^2+(1000*x+200)*ln(x)+125*x^2*ln(3)+150*x+15)/(400*ln(x)^4+(-200*x*ln(3)-120)*ln(x)^2+25*x^2*ln(3)^2+30*x*ln(3)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \left(1+5 x \right) x}{5 x \ln \left(3\right)-20 \ln \left(x \right)^{2}+3}$&$24$\\ norman&$\frac{25 x^{2}+5 x}{5 x \ln \left(3\right)-20 \ln \left(x \right)^{2}+3}$&$26$\\ \hline \end{longtable}"," ",0,"5*(1+5*x)*x/(5*x*ln(3)-20*ln(x)^2+3)","A"
5610,0,0,20,0.078000," ","int((-ln(x^2)*ln(ln(x^2))+(-2*x^2+2)*ln(x^2)+2)*exp(1/3*(3*exp(2/3)*ln(ln(x^2))+(-6*x^2-6)*exp(2/3)+4*x)/x/exp(2/3))/x^2/ln(x^2),x)","\[\int \frac{\left(-\ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)+\left(-2 x^{2}+2\right) \ln \left(x^{2}\right)+2\right) {\mathrm e}^{\frac{\left(3 \,{\mathrm e}^{\frac{2}{3}} \ln \left(\ln \left(x^{2}\right)\right)+\left(-6 x^{2}-6\right) {\mathrm e}^{\frac{2}{3}}+4 x \right) {\mathrm e}^{-\frac{2}{3}}}{3 x}}}{x^{2} \ln \left(x^{2}\right)}\, dx\]"," ",0,"int((-ln(x^2)*ln(ln(x^2))+(-2*x^2+2)*ln(x^2)+2)*exp(1/3*(3*exp(2/3)*ln(ln(x^2))+(-6*x^2-6)*exp(2/3)+4*x)/x/exp(2/3))/x^2/ln(x^2),x)","F"
5611,1,12,12,0.041000," ","int((338*x+2)*exp(169*x)-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-2 x +2 x \,{\mathrm e}^{169 x}$&$12$\\ default&$-2 x +2 x \,{\mathrm e}^{169 x}$&$12$\\ norman&$-2 x +2 x \,{\mathrm e}^{169 x}$&$12$\\ risch&$-2 x +2 x \,{\mathrm e}^{169 x}$&$12$\\ \hline \end{longtable}"," ",0,"-2*x+2*x*exp(169*x)","A"
5612,1,27,19,0.036000," ","int(((6*exp(2)+10)*exp(5)+6*exp(2)^2+28*exp(2)+30)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\left(6 \,{\mathrm e}^{2}+10\right) {\mathrm e}^{5}+6 \,{\mathrm e}^{4}+28 \,{\mathrm e}^{2}+30}{3 x^{3}}$&$27$\\ norman&$\frac{-2 \,{\mathrm e}^{2} {\mathrm e}^{5}-2 \,{\mathrm e}^{4}-\frac{10 \,{\mathrm e}^{5}}{3}-\frac{28 \,{\mathrm e}^{2}}{3}-10}{x^{3}}$&$27$\\ gosper&$-\frac{2 \left(3 \,{\mathrm e}^{2} {\mathrm e}^{5}+3 \,{\mathrm e}^{4}+5 \,{\mathrm e}^{5}+14 \,{\mathrm e}^{2}+15\right)}{3 x^{3}}$&$28$\\ risch&$-\frac{2 \,{\mathrm e}^{5} {\mathrm e}^{2}}{x^{3}}-\frac{10 \,{\mathrm e}^{5}}{3 x^{3}}-\frac{2 \,{\mathrm e}^{4}}{x^{3}}-\frac{28 \,{\mathrm e}^{2}}{3 x^{3}}-\frac{10}{x^{3}}$&$37$\\ \hline \end{longtable}"," ",0,"-1/3/x^3*((6*exp(2)+10)*exp(5)+6*exp(2)^2+28*exp(2)+30)","A"
5613,1,42,22,0.253000," ","int((((-30*x+120)*exp(x)*ln(-x+4)+200*exp(x)^2-30*exp(x))*exp(5*exp(x)*ln(-x+4)/(20*exp(x)-3))^2+((-90*x+360)*exp(x)*ln(-x+4)+600*exp(x)^2-90*exp(x))*exp(5*exp(x)*ln(-x+4)/(20*exp(x)-3)))/((400*x-1600)*exp(x)^2+(-120*x+480)*exp(x)+9*x-36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x +4\right)^{\frac{10 \,{\mathrm e}^{x}}{20 \,{\mathrm e}^{x}-3}}+6 \left(-x +4\right)^{\frac{5 \,{\mathrm e}^{x}}{20 \,{\mathrm e}^{x}-3}}$&$42$\\ \hline \end{longtable}"," ",0,"((-x+4)^(5*exp(x)/(20*exp(x)-3)))^2+6*(-x+4)^(5*exp(x)/(20*exp(x)-3))","A"
5614,1,683,24,1.102000," ","int((-524288-6029312*x+1366512*x^20+6392524*x^19+24022348*x^18+73676772*x^17+944780032*x^13+671757312*x^14+1048039936*x^12+834330624*x^11+186202360*x^16+389319040*x^15+294787072*x^10-385378304*x^9-1107525632*x^7-919941120*x^8-318636032*x^4-122421248*x^3-33816576*x^2-953286656*x^6-627376128*x^5+(-36700160*x^13-528220160*x^12-3228303360*x^11-10779099136*x^10-20920139776*x^9-22866296832*x^8-12507414528*x^7-6165626880*x^6-17817403392*x^5-41641050112*x^4-66504884224*x^3-71068286976*x^2-41607495680*x-9395240960)*ln(2)^8+(1146880*x^16+21495808*x^15+179208192*x^14+872218624*x^13+2731442176*x^12+5707530240*x^11+7933394944*x^10+6824132608*x^9+1830813696*x^8-6245318656*x^7-18098421760*x^6-32967229440*x^5-43780145152*x^4-41842376704*x^3-27279753216*x^2-10737418240*x-1879048192)*ln(2)^6+(-14336*x^19-324608*x^18-3336192*x^17-20511744*x^16-83576832*x^15-235607040*x^14-463816704*x^13-628064256*x^12-598818816*x^11-692240384*x^10-1961197568*x^9-5668208640*x^8-11922309120*x^7-18554290176*x^6-21851799552*x^5-19465764864*x^4-12821987328*x^3-5926551552*x^2-1719664640*x-234881024)*ln(2)^4+(-128*x^22-4352*x^21-68736*x^20-670720*x^19-4534144*x^18-22563072*x^17-85735680*x^16-254886144*x^15-604044288*x^14-1163537408*x^13-1876140032*x^12-2665648128*x^11-3588702208*x^10-4819566592*x^9-6314655744*x^8-7507476480*x^7-7583563776*x^6-6230900736*x^5-4028628992*x^4-1974468608*x^3-692060160*x^2-155189248*x-16777216)*ln(2)^2+(-85899345920*x-34359738368)*ln(2)^16+(36507222016*x^4+120259084288*x^3+25769803776*x^2-171798691840*x-68719476736)*ln(2)^14+(-6576668672*x^7-43419435008*x^6-87375740928*x^5-18253611008*x^4+84825604096*x^3-41875931136*x^2-169651208192*x-60129542144)*ln(2)^12+(645922816*x^10+6660554752*x^9+26575110144*x^8+48570040320*x^7+31809601536*x^6-11475615744*x^5-13690208256*x^4-23353884672*x^3-96636764160*x^2-104152956928*x-30064771072)*ln(2)^10+4*x^25+148*x^24+2604*x^23+28984*x^22+229024*x^21)/(x^22+34*x^21+544*x^20+5440*x^19+38080*x^18+198016*x^17+792064*x^16+2489344*x^15+6223360*x^14+12446720*x^13+19914752*x^12+25346048*x^11+25346048*x^10+19496960*x^9+11141120*x^8+4456448*x^7+1114112*x^6+131072*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{65536+29360128 \ln \left(2\right)^{4}+1174405120 \ln \left(2\right)^{8}+2097152 \ln \left(2\right)^{2}+\left(188743680 \ln \left(2\right)^{4}+3019898880 \ln \left(2\right)^{8}+18874368 \ln \left(2\right)^{2}+1006632960 \ln \left(2\right)^{6}+3221225472 \ln \left(2\right)^{12}+786432+4831838208 \ln \left(2\right)^{10}\right) x +\left(585105408 \ln \left(2\right)^{4}+3422552064 \ln \left(2\right)^{8}+83361792 \ln \left(2\right)^{2}+2038431744 \ln \left(2\right)^{6}-4831838208 \ln \left(2\right)^{12}+4718592-6442450944 \ln \left(2\right)^{14}+1207959552 \ln \left(2\right)^{10}\right) x^{2}+\left(1145044992 \ln \left(2\right)^{4}+2449473536 \ln \left(2\right)^{8}+236978176 \ln \left(2\right)^{2}+2575302656 \ln \left(2\right)^{6}+1073741824 \ln \left(2\right)^{12}+18743296-2147483648 \ln \left(2\right)^{14}+805306368 \ln \left(2\right)^{10}\right) x^{3}+\left(6736-128 \ln \left(2\right)^{2}\right) x^{21}+\left(1568931840 \ln \left(2\right)^{4}+1245708288 \ln \left(2\right)^{8}+729415680 \ln \left(2\right)^{2}+2202009600 \ln \left(2\right)^{6}+5838471168 \ln \left(2\right)^{12}-3377086464+301989888 \ln \left(2\right)^{10}\right) x^{4}+\left(1625554944 \ln \left(2\right)^{4}+1056964608 \ln \left(2\right)^{8}+2719875072 \ln \left(2\right)^{2}+1132462080 \ln \left(2\right)^{6}+3019898880 \ln \left(2\right)^{12}-27330379776-3321888768 \ln \left(2\right)^{10}\right) x^{5}+\left(1457258496 \ln \left(2\right)^{4}+2422210560 \ln \left(2\right)^{8}+8303640576 \ln \left(2\right)^{2}-277872640 \ln \left(2\right)^{6}+469762048 \ln \left(2\right)^{12}-102727245824-4504682496 \ln \left(2\right)^{10}\right) x^{6}+\left(1413218304 \ln \left(2\right)^{4}+3567255552 \ln \left(2\right)^{8}+18123915264 \ln \left(2\right)^{2}-1689255936 \ln \left(2\right)^{6}-239881494528-2415919104 \ln \left(2\right)^{10}\right) x^{7}+\left(-389922421248+1587953664 \ln \left(2\right)^{4}+2938503168 \ln \left(2\right)^{8}+28662030336 \ln \left(2\right)^{2}-2516189184 \ln \left(2\right)^{6}-603979776 \ln \left(2\right)^{10}\right) x^{8}+\left(-467945443328+1709424640 \ln \left(2\right)^{4}+1434189824 \ln \left(2\right)^{8}+33912479744 \ln \left(2\right)^{2}-2337013760 \ln \left(2\right)^{6}-58720256 \ln \left(2\right)^{10}\right) x^{9}+\left(-428925424128+30787381248 \ln \left(2\right)^{2}+1509285888 \ln \left(2\right)^{4}-1481146368 \ln \left(2\right)^{6}+416415744 \ln \left(2\right)^{8}\right) x^{10}+\left(-306315707904+21800583168 \ln \left(2\right)^{2}+1035288576 \ln \left(2\right)^{4}-650280960 \ln \left(2\right)^{6}+66846720 \ln \left(2\right)^{8}\right) x^{11}+\left(-172237083200+12145569280 \ln \left(2\right)^{2}+543095808 \ln \left(2\right)^{4}-195067904 \ln \left(2\right)^{6}+4587520 \ln \left(2\right)^{8}\right) x^{12}+\left(-76497326976+5333389824 \ln \left(2\right)^{2}+215608320 \ln \left(2\right)^{4}-38240256 \ln \left(2\right)^{6}\right) x^{13}+\left(-26740476576+1836484224 \ln \left(2\right)^{2}+63682560 \ln \left(2\right)^{4}-4423680 \ln \left(2\right)^{6}\right) x^{14}+234881024 \ln \left(2\right)^{6}+x^{24}+36 x^{23}+618 x^{22}+7516192768 \ln \left(2\right)^{12}+\left(-7275160928+489273600 \ln \left(2\right)^{2}+13569024 \ln \left(2\right)^{4}-229376 \ln \left(2\right)^{6}\right) x^{15}+\left(-1507900095+98359680 \ln \left(2\right)^{2}+1972224 \ln \left(2\right)^{4}\right) x^{16}+\left(-229150908+14264448 \ln \left(2\right)^{2}+175104 \ln \left(2\right)^{4}\right) x^{17}+\left(-23693942+1366400 \ln \left(2\right)^{2}+7168 \ln \left(2\right)^{4}\right) x^{18}+\left(-1366512+68736 \ln \left(2\right)^{2}\right) x^{19}+8589934592 \ln \left(2\right)^{14}+3758096384 \ln \left(2\right)^{10}+4294967296 \ln \left(2\right)^{16}}{x^{4} \left(2+x \right)^{16}}$&$683$\\ risch&$x^{4}-128 x \ln \left(2\right)^{2}+4 x^{3}+10 x^{2}+16 x +\frac{65536+29360128 \ln \left(2\right)^{4}+1174405120 \ln \left(2\right)^{8}+2097152 \ln \left(2\right)^{2}+\left(188743680 \ln \left(2\right)^{4}+3019898880 \ln \left(2\right)^{8}+18874368 \ln \left(2\right)^{2}+1006632960 \ln \left(2\right)^{6}+3221225472 \ln \left(2\right)^{12}+786432+4831838208 \ln \left(2\right)^{10}\right) x +\left(585105408 \ln \left(2\right)^{4}+3422552064 \ln \left(2\right)^{8}+83361792 \ln \left(2\right)^{2}+2038431744 \ln \left(2\right)^{6}-4831838208 \ln \left(2\right)^{12}+4718592-6442450944 \ln \left(2\right)^{14}+1207959552 \ln \left(2\right)^{10}\right) x^{2}+\left(1145044992 \ln \left(2\right)^{4}+2449473536 \ln \left(2\right)^{8}+236978176 \ln \left(2\right)^{2}+2575302656 \ln \left(2\right)^{6}+1073741824 \ln \left(2\right)^{12}+18743296-2147483648 \ln \left(2\right)^{14}+805306368 \ln \left(2\right)^{10}\right) x^{3}+234881024 \ln \left(2\right)^{6}+\left(5838471168 \ln \left(2\right)^{12}+301989888 \ln \left(2\right)^{10}+1245708288 \ln \left(2\right)^{8}+2202009600 \ln \left(2\right)^{6}+1568931840 \ln \left(2\right)^{4}+460980224 \ln \left(2\right)^{2}+53854208\right) x^{4}+\left(3019898880 \ln \left(2\right)^{12}-3321888768 \ln \left(2\right)^{10}+1056964608 \ln \left(2\right)^{8}+1132462080 \ln \left(2\right)^{6}+1625554944 \ln \left(2\right)^{4}+580780032 \ln \left(2\right)^{2}+116097024\right) x^{5}+\left(469762048 \ln \left(2\right)^{12}-4504682496 \ln \left(2\right)^{10}+2422210560 \ln \left(2\right)^{8}-277872640 \ln \left(2\right)^{6}+1457258496 \ln \left(2\right)^{4}+317685760 \ln \left(2\right)^{2}+191930368\right) x^{6}+\left(-2415919104 \ln \left(2\right)^{10}+3567255552 \ln \left(2\right)^{8}-1689255936 \ln \left(2\right)^{6}+1413218304 \ln \left(2\right)^{4}-414908416 \ln \left(2\right)^{2}+247390208\right) x^{7}+\left(-603979776 \ln \left(2\right)^{10}+2938503168 \ln \left(2\right)^{8}-2516189184 \ln \left(2\right)^{6}+1587953664 \ln \left(2\right)^{4}-1285300224 \ln \left(2\right)^{2}+251856384\right) x^{8}+\left(-58720256 \ln \left(2\right)^{10}+1434189824 \ln \left(2\right)^{8}-2337013760 \ln \left(2\right)^{6}+1709424640 \ln \left(2\right)^{4}-1774755840 \ln \left(2\right)^{2}+204419072\right) x^{9}+\left(416415744 \ln \left(2\right)^{8}-1481146368 \ln \left(2\right)^{6}+1509285888 \ln \left(2\right)^{4}-1655560192 \ln \left(2\right)^{2}+133033472\right) x^{10}+\left(66846720 \ln \left(2\right)^{8}-650280960 \ln \left(2\right)^{6}+1035288576 \ln \left(2\right)^{4}-1141211136 \ln \left(2\right)^{2}+69548544\right) x^{11}+\left(4587520 \ln \left(2\right)^{8}-195067904 \ln \left(2\right)^{6}+543095808 \ln \left(2\right)^{4}-599872000 \ln \left(2\right)^{2}+29142464\right) x^{12}+\left(-38240256 \ln \left(2\right)^{6}+215608320 \ln \left(2\right)^{4}-242740736 \ln \left(2\right)^{2}+9718912\right) x^{13}+\left(-4423680 \ln \left(2\right)^{6}+63682560 \ln \left(2\right)^{4}-75331968 \ln \left(2\right)^{2}+2546016\right) x^{14}+\left(-229376 \ln \left(2\right)^{6}+13569024 \ln \left(2\right)^{4}-17647360 \ln \left(2\right)^{2}+512672\right) x^{15}+\left(1972224 \ln \left(2\right)^{4}-3024512 \ln \left(2\right)^{2}+76609\right) x^{16}+\left(175104 \ln \left(2\right)^{4}-358272 \ln \left(2\right)^{2}+8004\right) x^{17}+\left(7168 \ln \left(2\right)^{4}-26240 \ln \left(2\right)^{2}+522\right) x^{18}+\left(-896 \ln \left(2\right)^{2}+16\right) x^{19}+7516192768 \ln \left(2\right)^{12}+8589934592 \ln \left(2\right)^{14}+3758096384 \ln \left(2\right)^{10}+4294967296 \ln \left(2\right)^{16}}{x^{4} \left(x^{16}+32 x^{15}+480 x^{14}+4480 x^{13}+29120 x^{12}+139776 x^{11}+512512 x^{10}+1464320 x^{9}+3294720 x^{8}+5857280 x^{7}+8200192 x^{6}+8945664 x^{5}+7454720 x^{4}+4587520 x^{3}+1966080 x^{2}+524288 x +65536\right)}$&$757$\\ default&$16 x +x^{4}+4 x^{3}+10 x^{2}-\frac{4 \left(393216 \ln \left(2\right)^{16}+786432 \ln \left(2\right)^{14}+651264 \ln \left(2\right)^{12}+288768 \ln \left(2\right)^{10}+72960 \ln \left(2\right)^{8}+9984 \ln \left(2\right)^{6}+528 \ln \left(2\right)^{4}-24 \ln \left(2\right)^{2}-3\right)}{3 x^{3}}+\frac{1048576 \ln \left(2\right)^{10} \left(240 \ln \left(2\right)^{6}+392 \ln \left(2\right)^{4}+236 \ln \left(2\right)^{2}+63\right)}{\left(2+x \right)^{9}}+\frac{4194304 \ln \left(2\right)^{12} \left(140 \ln \left(2\right)^{4}+176 \ln \left(2\right)^{2}+57\right)}{\left(2+x \right)^{12}}+\frac{134217728 \ln \left(2\right)^{14} \left(5 \ln \left(2\right)^{2}+3\right)}{\left(2+x \right)^{14}}+\frac{4194304 \ln \left(2\right)^{12} \left(112 \ln \left(2\right)^{4}+160 \ln \left(2\right)^{2}+75\right)}{\left(2+x \right)^{11}}-\frac{4 \left(-4+432 \ln \left(2\right)^{4}+160384 \ln \left(2\right)^{8}+8 \ln \left(2\right)^{2}+13216 \ln \left(2\right)^{6}+2355200 \ln \left(2\right)^{12}+3153920 \ln \left(2\right)^{14}+869376 \ln \left(2\right)^{10}+1671168 \ln \left(2\right)^{16}\right)}{x}+\frac{671088640 \ln \left(2\right)^{14} \left(\ln \left(2\right)^{2}+1\right)}{\left(2+x \right)^{13}}+\frac{524288 \ln \left(2\right)^{10} \left(672 \ln \left(2\right)^{6}+1040 \ln \left(2\right)^{4}+572 \ln \left(2\right)^{2}+135\right)}{\left(2+x \right)^{10}}+\frac{8192 \ln \left(2\right)^{8} \left(21120 \ln \left(2\right)^{8}+35840 \ln \left(2\right)^{6}+22880 \ln \left(2\right)^{4}+6624 \ln \left(2\right)^{2}+1323\right)}{\left(2+x \right)^{8}}-128 x \ln \left(2\right)^{2}-\frac{-65536 \ln \left(2\right)^{16}-131072 \ln \left(2\right)^{14}-114688 \ln \left(2\right)^{12}-57344 \ln \left(2\right)^{10}-17920 \ln \left(2\right)^{8}-3584 \ln \left(2\right)^{6}-448 \ln \left(2\right)^{4}-32 \ln \left(2\right)^{2}-1}{x^{4}}+\frac{536870912 \ln \left(2\right)^{16}}{\left(2+x \right)^{15}}+\frac{268435456 \ln \left(2\right)^{16}}{\left(2+x \right)^{16}}-\frac{2 \left(-1114112 \ln \left(2\right)^{16}-2179072 \ln \left(2\right)^{14}-1716224 \ln \left(2\right)^{12}-689152 \ln \left(2\right)^{10}-146432 \ln \left(2\right)^{8}-15040 \ln \left(2\right)^{6}-560 \ln \left(2\right)^{4}-28 \ln \left(2\right)^{2}-5\right)}{x^{2}}+\frac{64 \ln \left(2\right)^{4} \left(286720 \ln \left(2\right)^{12}+532480 \ln \left(2\right)^{10}+387840 \ln \left(2\right)^{8}+137216 \ln \left(2\right)^{6}+23312 \ln \left(2\right)^{4}+1632 \ln \left(2\right)^{2}-351\right)}{\left(2+x \right)^{3}}+\frac{65536 \ln \left(2\right)^{8} \left(1760 \ln \left(2\right)^{8}+3072 \ln \left(2\right)^{6}+2044 \ln \left(2\right)^{4}+628 \ln \left(2\right)^{2}+81\right)}{\left(2+x \right)^{7}}+\frac{2048 \ln \left(2\right)^{6} \left(36608 \ln \left(2\right)^{10}+65280 \ln \left(2\right)^{8}+44800 \ln \left(2\right)^{6}+14416 \ln \left(2\right)^{4}+2034 \ln \left(2\right)^{2}+405\right)}{\left(2+x \right)^{6}}+\frac{2048 \ln \left(2\right)^{6} \left(23296 \ln \left(2\right)^{10}+42240 \ln \left(2\right)^{8}+29696 \ln \left(2\right)^{6}+9920 \ln \left(2\right)^{4}+1506 \ln \left(2\right)^{2}-27\right)}{\left(2+x \right)^{5}}+\frac{64 \ln \left(2\right)^{4} \left(465920 \ln \left(2\right)^{12}+856064 \ln \left(2\right)^{10}+613632 \ln \left(2\right)^{8}+211456 \ln \left(2\right)^{6}+34120 \ln \left(2\right)^{4}+2160 \ln \left(2\right)^{2}+513\right)}{\left(2+x \right)^{4}}+\frac{8 \ln \left(2\right)^{2} \left(1392640 \ln \left(2\right)^{14}+2609152 \ln \left(2\right)^{12}+1926144 \ln \left(2\right)^{10}+697088 \ln \left(2\right)^{8}+123776 \ln \left(2\right)^{6}+9456 \ln \left(2\right)^{4}+1188 \ln \left(2\right)^{2}+81\right)}{\left(2+x \right)^{2}}+\frac{32 \ln \left(2\right)^{2} \left(208896 \ln \left(2\right)^{14}+394240 \ln \left(2\right)^{12}+294400 \ln \left(2\right)^{10}+108672 \ln \left(2\right)^{8}+20048 \ln \left(2\right)^{6}+1652 \ln \left(2\right)^{4}+54 \ln \left(2\right)^{2}-27\right)}{2+x}$&$783$\\ gosper&$\frac{65536+786432 x +585105408 x^{2} \ln \left(2\right)^{4}+1145044992 x^{3} \ln \left(2\right)^{4}+1457258496 x^{6} \ln \left(2\right)^{4}+1434189824 x^{9} \ln \left(2\right)^{8}+1625554944 x^{5} \ln \left(2\right)^{4}+8303640576 x^{6} \ln \left(2\right)^{2}+1709424640 x^{9} \ln \left(2\right)^{4}-1366512 x^{19}-23693942 x^{18}-2516189184 x^{8} \ln \left(2\right)^{6}-229150908 x^{17}-76497326976 x^{13}-26740476576 x^{14}-172237083200 x^{12}-306315707904 x^{11}-1507900095 x^{16}-7275160928 x^{15}+29360128 \ln \left(2\right)^{4}+1174405120 \ln \left(2\right)^{8}-428925424128 x^{10}-467945443328 x^{9}+2097152 \ln \left(2\right)^{2}-239881494528 x^{7}-389922421248 x^{8}-3377086464 x^{4}+18743296 x^{3}+4718592 x^{2}-102727245824 x^{6}-27330379776 x^{5}+543095808 x^{12} \ln \left(2\right)^{4}+3019898880 x \ln \left(2\right)^{8}+1006632960 x \ln \left(2\right)^{6}+2719875072 x^{5} \ln \left(2\right)^{2}+188743680 x \ln \left(2\right)^{4}+1413218304 x^{7} \ln \left(2\right)^{4}+18123915264 x^{7} \ln \left(2\right)^{2}+729415680 x^{4} \ln \left(2\right)^{2}+236978176 x^{3} \ln \left(2\right)^{2}+18874368 x \ln \left(2\right)^{2}+83361792 x^{2} \ln \left(2\right)^{2}+3567255552 x^{7} \ln \left(2\right)^{8}+2938503168 x^{8} \ln \left(2\right)^{8}+416415744 x^{10} \ln \left(2\right)^{8}+1587953664 x^{8} \ln \left(2\right)^{4}+234881024 \ln \left(2\right)^{6}+x^{24}+36 x^{23}+618 x^{22}+6736 x^{21}-2147483648 \ln \left(2\right)^{14} x^{3}-6442450944 \ln \left(2\right)^{14} x^{2}+1073741824 \ln \left(2\right)^{12} x^{3}-4831838208 \ln \left(2\right)^{12} x^{2}+3221225472 \ln \left(2\right)^{12} x +1207959552 \ln \left(2\right)^{10} x^{2}+4831838208 \ln \left(2\right)^{10} x +1568931840 \ln \left(2\right)^{4} x^{4}+7516192768 \ln \left(2\right)^{12}-128 \ln \left(2\right)^{2} x^{21}+7168 \ln \left(2\right)^{4} x^{18}-229376 \ln \left(2\right)^{6} x^{15}+175104 \ln \left(2\right)^{4} x^{17}+68736 \ln \left(2\right)^{2} x^{19}+4587520 \ln \left(2\right)^{8} x^{12}-4423680 \ln \left(2\right)^{6} x^{14}+1972224 \ln \left(2\right)^{4} x^{16}+1366400 \ln \left(2\right)^{2} x^{18}+66846720 \ln \left(2\right)^{8} x^{11}-38240256 \ln \left(2\right)^{6} x^{13}+13569024 \ln \left(2\right)^{4} x^{15}+14264448 \ln \left(2\right)^{2} x^{17}-603979776 \ln \left(2\right)^{10} x^{8}-195067904 \ln \left(2\right)^{6} x^{12}+63682560 \ln \left(2\right)^{4} x^{14}+98359680 \ln \left(2\right)^{2} x^{16}-650280960 \ln \left(2\right)^{6} x^{11}+215608320 \ln \left(2\right)^{4} x^{13}+489273600 \ln \left(2\right)^{2} x^{15}-1481146368 \ln \left(2\right)^{6} x^{10}+1836484224 \ln \left(2\right)^{2} x^{14}-2337013760 \ln \left(2\right)^{6} x^{9}+1035288576 \ln \left(2\right)^{4} x^{11}+5333389824 \ln \left(2\right)^{2} x^{13}+1509285888 \ln \left(2\right)^{4} x^{10}+12145569280 \ln \left(2\right)^{2} x^{12}-1689255936 \ln \left(2\right)^{6} x^{7}+8589934592 \ln \left(2\right)^{14}+3758096384 \ln \left(2\right)^{10}+1056964608 \ln \left(2\right)^{8} x^{5}+1132462080 \ln \left(2\right)^{6} x^{5}-58720256 \ln \left(2\right)^{10} x^{9}+469762048 \ln \left(2\right)^{12} x^{6}+3019898880 \ln \left(2\right)^{12} x^{5}-2415919104 \ln \left(2\right)^{10} x^{7}+5838471168 \ln \left(2\right)^{12} x^{4}-4504682496 \ln \left(2\right)^{10} x^{6}-3321888768 \ln \left(2\right)^{10} x^{5}+301989888 \ln \left(2\right)^{10} x^{4}+2422210560 \ln \left(2\right)^{8} x^{6}+805306368 \ln \left(2\right)^{10} x^{3}+1245708288 \ln \left(2\right)^{8} x^{4}-277872640 \ln \left(2\right)^{6} x^{6}+2449473536 \ln \left(2\right)^{8} x^{3}+3422552064 \ln \left(2\right)^{8} x^{2}+2202009600 \ln \left(2\right)^{6} x^{4}+2575302656 \ln \left(2\right)^{6} x^{3}+4294967296 \ln \left(2\right)^{16}+21800583168 \ln \left(2\right)^{2} x^{11}+30787381248 \ln \left(2\right)^{2} x^{10}+33912479744 \ln \left(2\right)^{2} x^{9}+28662030336 \ln \left(2\right)^{2} x^{8}+2038431744 \ln \left(2\right)^{6} x^{2}}{x^{4} \left(x^{16}+32 x^{15}+480 x^{14}+4480 x^{13}+29120 x^{12}+139776 x^{11}+512512 x^{10}+1464320 x^{9}+3294720 x^{8}+5857280 x^{7}+8200192 x^{6}+8945664 x^{5}+7454720 x^{4}+4587520 x^{3}+1966080 x^{2}+524288 x +65536\right)}$&$972$\\ \hline \end{longtable}"," ",0,"(65536+29360128*ln(2)^4+1174405120*ln(2)^8+2097152*ln(2)^2+(188743680*ln(2)^4+3019898880*ln(2)^8+18874368*ln(2)^2+1006632960*ln(2)^6+3221225472*ln(2)^12+786432+4831838208*ln(2)^10)*x+(585105408*ln(2)^4+3422552064*ln(2)^8+83361792*ln(2)^2+2038431744*ln(2)^6-4831838208*ln(2)^12+4718592-6442450944*ln(2)^14+1207959552*ln(2)^10)*x^2+(1145044992*ln(2)^4+2449473536*ln(2)^8+236978176*ln(2)^2+2575302656*ln(2)^6+1073741824*ln(2)^12+18743296-2147483648*ln(2)^14+805306368*ln(2)^10)*x^3+(6736-128*ln(2)^2)*x^21+(1568931840*ln(2)^4+1245708288*ln(2)^8+729415680*ln(2)^2+2202009600*ln(2)^6+5838471168*ln(2)^12-3377086464+301989888*ln(2)^10)*x^4+(1625554944*ln(2)^4+1056964608*ln(2)^8+2719875072*ln(2)^2+1132462080*ln(2)^6+3019898880*ln(2)^12-27330379776-3321888768*ln(2)^10)*x^5+(1457258496*ln(2)^4+2422210560*ln(2)^8+8303640576*ln(2)^2-277872640*ln(2)^6+469762048*ln(2)^12-102727245824-4504682496*ln(2)^10)*x^6+(1413218304*ln(2)^4+3567255552*ln(2)^8+18123915264*ln(2)^2-1689255936*ln(2)^6-239881494528-2415919104*ln(2)^10)*x^7+(-389922421248+1587953664*ln(2)^4+2938503168*ln(2)^8+28662030336*ln(2)^2-2516189184*ln(2)^6-603979776*ln(2)^10)*x^8+(-467945443328+1709424640*ln(2)^4+1434189824*ln(2)^8+33912479744*ln(2)^2-2337013760*ln(2)^6-58720256*ln(2)^10)*x^9+(-428925424128+30787381248*ln(2)^2+1509285888*ln(2)^4-1481146368*ln(2)^6+416415744*ln(2)^8)*x^10+(-306315707904+21800583168*ln(2)^2+1035288576*ln(2)^4-650280960*ln(2)^6+66846720*ln(2)^8)*x^11+(-172237083200+12145569280*ln(2)^2+543095808*ln(2)^4-195067904*ln(2)^6+4587520*ln(2)^8)*x^12+(-76497326976+5333389824*ln(2)^2+215608320*ln(2)^4-38240256*ln(2)^6)*x^13+(-26740476576+1836484224*ln(2)^2+63682560*ln(2)^4-4423680*ln(2)^6)*x^14+234881024*ln(2)^6+x^24+36*x^23+618*x^22+7516192768*ln(2)^12+(-7275160928+489273600*ln(2)^2+13569024*ln(2)^4-229376*ln(2)^6)*x^15+(-1507900095+98359680*ln(2)^2+1972224*ln(2)^4)*x^16+(-229150908+14264448*ln(2)^2+175104*ln(2)^4)*x^17+(-23693942+1366400*ln(2)^2+7168*ln(2)^4)*x^18+(-1366512+68736*ln(2)^2)*x^19+8589934592*ln(2)^14+3758096384*ln(2)^10+4294967296*ln(2)^16)/x^4/(2+x)^16","B"
5615,1,42,23,0.332000," ","int(((7*x^4-9*x^3-10*x^2)*(5-x)^4+(-x^2+5*x)*ln(x)-2*x^3+8*x^2+9*x+5)/(x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{7}-19 x^{6}+130 x^{5}-350 x^{4}+125 x^{3}-x -x \ln \left(x \right)+624 x^{2}-\ln \left(x \right)$&$42$\\ norman&$x^{7}-19 x^{6}+130 x^{5}-350 x^{4}+125 x^{3}-x -x \ln \left(x \right)+624 x^{2}-\ln \left(x \right)$&$42$\\ risch&$x^{7}-19 x^{6}+130 x^{5}-350 x^{4}+125 x^{3}-x -x \ln \left(x \right)+624 x^{2}-\ln \left(x \right)$&$42$\\ \hline \end{longtable}"," ",0,"x^7-19*x^6+130*x^5-350*x^4+125*x^3-x-x*ln(x)+624*x^2-ln(x)","A"
5616,1,274,25,0.142000," ","int(((-192*exp(2/3*x*ln(2)-5)^5+(128*x*ln(2)-960*x+2688)*exp(2/3*x*ln(2)-5)^4+(2*(192*x^2-576*x)*ln(2)-1920*x^2+10944*x-14976)*exp(2/3*x*ln(2)-5)^3+(2*(192*x^3-1152*x^2+1728*x)*ln(2)-1920*x^3+16704*x^2-46656*x+41472)*exp(2/3*x*ln(2)-5)^2+(2*(64*x^4-576*x^3+1728*x^2-1728*x)*ln(2)-960*x^4+11328*x^3-48384*x^2+88128*x-57024)*exp(2/3*x*ln(2)-5)-192*x^5+2880*x^4-16704*x^3+46656*x^2-62208*x+31104)*ln(x)-48*exp(2/3*x*ln(2)-5)^5+(-240*x+672)*exp(2/3*x*ln(2)-5)^4+(-480*x^2+2688*x-3744)*exp(2/3*x*ln(2)-5)^3+(-480*x^3+4032*x^2-11232*x+10368)*exp(2/3*x*ln(2)-5)^2+(-240*x^4+2688*x^3-11232*x^2+20736*x-14256)*exp(2/3*x*ln(2)-5)-48*x^5+672*x^4-3744*x^3+10368*x^2-14256*x+7776)/(3*x^5*exp(2/3*x*ln(2)-5)^5+(15*x^6-30*x^5)*exp(2/3*x*ln(2)-5)^4+(30*x^7-120*x^6+120*x^5)*exp(2/3*x*ln(2)-5)^3+(30*x^8-180*x^7+360*x^6-240*x^5)*exp(2/3*x*ln(2)-5)^2+(15*x^9-120*x^8+360*x^7-480*x^6+240*x^5)*exp(2/3*x*ln(2)-5)+3*x^10-30*x^9+120*x^8-240*x^7+240*x^6-96*x^5)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x^{4}+64 \,2^{\frac{2 x}{3}} {\mathrm e}^{-5} x^{3}+96 \,2^{\frac{4 x}{3}} {\mathrm e}^{-10} x^{2}+64 \,2^{2 x} {\mathrm e}^{-15} x +16 \,2^{\frac{8 x}{3}} {\mathrm e}^{-20}-192 x^{3}-576 \,2^{\frac{2 x}{3}} {\mathrm e}^{-5} x^{2}-576 \,2^{\frac{4 x}{3}} {\mathrm e}^{-10} x -192 \,2^{2 x} {\mathrm e}^{-15}+864 x^{2}+1728 \,2^{\frac{2 x}{3}} {\mathrm e}^{-5} x +864 \,2^{\frac{4 x}{3}} {\mathrm e}^{-10}-1728 x -1728 \,2^{\frac{2 x}{3}} {\mathrm e}^{-5}+1296}{x^{4} \left(x^{4}+4 \,2^{\frac{2 x}{3}} {\mathrm e}^{-5} x^{3}+6 \,2^{\frac{4 x}{3}} {\mathrm e}^{-10} x^{2}+4 \,2^{2 x} {\mathrm e}^{-15} x +2^{\frac{8 x}{3}} {\mathrm e}^{-20}-8 x^{3}-24 \,2^{\frac{2 x}{3}} {\mathrm e}^{-5} x^{2}-24 \,2^{\frac{4 x}{3}} {\mathrm e}^{-10} x -8 \,2^{2 x} {\mathrm e}^{-15}+24 x^{2}+48 \,2^{\frac{2 x}{3}} {\mathrm e}^{-5} x +24 \,2^{\frac{4 x}{3}} {\mathrm e}^{-10}-32 x -32 \,2^{\frac{2 x}{3}} {\mathrm e}^{-5}+16\right) \ln \left(x \right)}$&$274$\\ \hline \end{longtable}"," ",0,"16/x^4*(x^4+4*2^(2/3*x)*exp(-5)*x^3+6*(2^(2/3*x))^2*exp(-10)*x^2+4*(2^(2/3*x))^3*exp(-15)*x+(2^(2/3*x))^4*exp(-20)-12*x^3-36*2^(2/3*x)*exp(-5)*x^2-36*(2^(2/3*x))^2*exp(-10)*x-12*(2^(2/3*x))^3*exp(-15)+54*x^2+108*2^(2/3*x)*exp(-5)*x+54*(2^(2/3*x))^2*exp(-10)-108*x-108*2^(2/3*x)*exp(-5)+81)/(x^4+4*2^(2/3*x)*exp(-5)*x^3+6*(2^(2/3*x))^2*exp(-10)*x^2+4*(2^(2/3*x))^3*exp(-15)*x+(2^(2/3*x))^4*exp(-20)-8*x^3-24*2^(2/3*x)*exp(-5)*x^2-24*(2^(2/3*x))^2*exp(-10)*x-8*(2^(2/3*x))^3*exp(-15)+24*x^2+48*2^(2/3*x)*exp(-5)*x+24*(2^(2/3*x))^2*exp(-10)-32*x-32*2^(2/3*x)*exp(-5)+16)/ln(x)","B"
5617,1,3,2,0.023000," ","int(exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{x}$&$3$\\ lookup&${\mathrm e}^{x}$&$3$\\ derivativedivides&${\mathrm e}^{x}$&$3$\\ default&${\mathrm e}^{x}$&$3$\\ norman&${\mathrm e}^{x}$&$3$\\ risch&${\mathrm e}^{x}$&$3$\\ meijerg&${\mathrm e}^{x}-1$&$5$\\ \hline \end{longtable}"," ",0,"exp(x)","A"
5618,1,26,25,0.221000," ","int((((x^2-x-6)*ln(2*x+4)+(x^2-3*x)*ln(x)-4*x^2+12*x)*ln((3-x)*exp(exp(3))^2)+((-x^2-2*x)*ln(x)+4*x^2+8*x)*ln(2*x+4))/(x^3-x^2-6*x)/ln((3-x)*exp(exp(3))^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(\ln \left(x \right)-4\right) \ln \left(2 x +4\right)}{\ln \left(\left(3-x \right) {\mathrm e}^{2 \,{\mathrm e}^{3}}\right)}$&$26$\\ \hline \end{longtable}"," ",0,"(ln(x)-4)/ln((3-x)*exp(2*exp(3)))*ln(2*x+4)","A"
5619,1,35,29,0.342000," ","int(((-4*x-4)*ln(x)^2+(4*x^4+17*x^3+4*x^2+8*x+8)*ln(x)+16*x^5+68*x^4+80*x^3+96*x^2+32*x)*exp(((x^2+2*x+4)*ln(x)^2+(8*x^3+16*x^2+32*x)*ln(x)+16*x^4+32*x^3+64*x^2)/(16*x^2+32*x)/ln(ln(5)-5)^2)/(8*x^4+32*x^3+32*x^2)/ln(ln(5)-5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(x^{2}+2 x +4\right) \left(4 x +\ln \left(x \right)\right)^{2}}{16 x \left(2+x \right) \ln \left(\ln \left(5\right)-5\right)^{2}}}$&$35$\\ \hline \end{longtable}"," ",0,"exp(1/16*(x^2+2*x+4)*(4*x+ln(x))^2/x/(2+x)/ln(ln(5)-5)^2)","A"
5620,1,15,22,0.029000," ","int((-exp(x)*x^2-5)/(exp(x)*x^2-5*x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left({\mathrm e}^{x}-\frac{5 \left(x +1\right)}{x}\right)$&$15$\\ norman&$-\ln \left({\mathrm e}^{x} x -5 x -5\right)+\ln \left(x \right)$&$16$\\ \hline \end{longtable}"," ",0,"-ln(exp(x)-5*(x+1)/x)","A"
5621,1,15,15,0.349000," ","int((34*exp(1)^2-68*x*exp(1)+34*x^2+20)/(5*exp(1)^2-10*x*exp(1)+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{34 x}{5}+\frac{4}{{\mathrm e}-x}$&$15$\\ norman&$\frac{-\frac{34 x^{2}}{5}+4+\frac{34 \,{\mathrm e}^{2}}{5}}{{\mathrm e}-x}$&$23$\\ gosper&$\frac{-\frac{34 x^{2}}{5}+4+\frac{34 \,{\mathrm e}^{2}}{5}}{{\mathrm e}-x}$&$24$\\ meijerg&$\frac{34 x}{5 \left(1-{\mathrm e}^{-1} x \right)}+\frac{4 \,{\mathrm e}^{-2} x}{1-{\mathrm e}^{-1} x}-\frac{68 \,{\mathrm e} \left(\frac{x \,{\mathrm e}^{-1}}{1-{\mathrm e}^{-1} x}+\ln \left(1-{\mathrm e}^{-1} x \right)\right)}{5}-\frac{34 \,{\mathrm e} \left(-\frac{x \,{\mathrm e}^{-1} \left(-3 \,{\mathrm e}^{-1} x +6\right)}{3 \left(1-{\mathrm e}^{-1} x \right)}-2 \ln \left(1-{\mathrm e}^{-1} x \right)\right)}{5}$&$90$\\ \hline \end{longtable}"," ",0,"34/5*x+4/(exp(1)-x)","A"
5622,1,11,19,0.028000," ","int((2*x^2+19*x+50)/(x^3+10*x^2+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{1}{5+x}+2 \ln \left(x \right)$&$11$\\ norman&$\frac{1}{5+x}+2 \ln \left(x \right)$&$11$\\ risch&$\frac{1}{5+x}+2 \ln \left(x \right)$&$11$\\ \hline \end{longtable}"," ",0,"1/(5+x)+2*ln(x)","A"
5623,1,33,29,0.085000," ","int(((exp(2)*ln(2*x*exp(4))-26*exp(2))*exp(ln(2*x*exp(4))/x)+25*exp(2)^3)/x^2/exp(25/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{6 x -25}{x}}-\left(2 x \,{\mathrm e}^{4}\right)^{\frac{1}{x}} {\mathrm e}^{\frac{2 x -25}{x}}$&$33$\\ \hline \end{longtable}"," ",0,"exp((6*x-25)/x)-(2*x*exp(4))^(1/x)*exp((2*x-25)/x)","A"
5624,1,59,18,0.044000," ","int((24*x^5*ln(x)*ln(ln(x))*ln(ln(ln(x)))^2+((-56*x^6+96*x^5-72*x^2)*ln(x)*ln(ln(x))+8*x^5)*ln(ln(ln(x)))+(32*x^7-112*x^6+96*x^5+96*x^3-144*x^2)*ln(x)*ln(ln(x))-8*x^6+16*x^5-24*x^2)/ln(x)/ln(ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{6} \ln \left(\ln \left(\ln \left(x \right)\right)\right)^{2}+\left(-8 x^{7}+16 x^{6}-24 x^{3}\right) \ln \left(\ln \left(\ln \left(x \right)\right)\right)+4 x^{8}-16 x^{7}+16 x^{6}+24 x^{4}-48 x^{3}$&$59$\\ \hline \end{longtable}"," ",0,"4*x^6*ln(ln(ln(x)))^2+(-8*x^7+16*x^6-24*x^3)*ln(ln(ln(x)))+4*x^8-16*x^7+16*x^6+24*x^4-48*x^3","B"
5625,1,21,21,0.296000," ","int(((20*ln(2)*ln(5)+5*exp(4))*exp(4*x*ln(5)/exp(4))+exp(4)*ln(2)+x*exp(4))/(5*exp(4)*exp(4*x*ln(5)/exp(4))+x*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\ln \left(2\right) \ln \left(x +5 \,{\mathrm e}^{4 x \ln \left(5\right) {\mathrm e}^{-4}}\right)$&$21$\\ risch&${\mathrm e}^{4} {\mathrm e}^{-4} x +\ln \left(2\right) \ln \left(\frac{x}{5}+625^{x \,{\mathrm e}^{-4}}\right)$&$22$\\ \hline \end{longtable}"," ",0,"x+ln(2)*ln(x+5*exp(4*x*ln(5)/exp(4)))","A"
5626,1,10,13,0.251000," ","int((3*x+8)/(x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(4+x \right)+2 \ln \left(x \right)$&$10$\\ norman&$\ln \left(4+x \right)+2 \ln \left(x \right)$&$10$\\ risch&$\ln \left(4+x \right)+2 \ln \left(x \right)$&$10$\\ meijerg&$\ln \left(1+\frac{x}{4}\right)+2 \ln \left(x \right)-4 \ln \left(2\right)$&$16$\\ \hline \end{longtable}"," ",0,"ln(4+x)+2*ln(x)","A"
5627,1,37,25,0.052000," ","int((((-3*x^2+3*x+3)*exp(x)-x^2)*ln(x)^3+((-6*x^3+6*x^2+3*x-3)*exp(x)-2*x^3+x^2+x)*ln(x)^2+((-3*x^4-3*x^2-6*x)*exp(x)-x^4+2*x^3+3*x^2)*ln(x)+(-3*x^4+3*x^2+3*x)*exp(x)-x^2)/((x^4+2*x^3+x^2)*ln(x)^2+(2*x^5+4*x^4+2*x^3)*ln(x)+x^6+2*x^5+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x -3 \,{\mathrm e}^{x}\right) \ln \left(x \right)}{\left(x +1\right) x}+\frac{x -3 \,{\mathrm e}^{x}}{\left(x +1\right) \left(x +\ln \left(x \right)\right)}$&$37$\\ \hline \end{longtable}"," ",0,"(x-3*exp(x))/(x+1)/x*ln(x)+1/(x+1)*(x-3*exp(x))/(x+ln(x))","A"
5628,1,26,26,0.066000," ","int(((-2*x^2-6*x)*exp(5)*ln(x)+(-7*x^2-23*x-9)*exp(5)+x)/x/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\left(x +6\right) x \ln \left(x \right)-3 x^{2}-17 x +{\mathrm e}^{-5} x -9 \ln \left(x \right)$&$26$\\ norman&$-9 \ln \left(x \right)-3 x^{2}-6 x \ln \left(x \right)-x^{2} \ln \left(x \right)-{\mathrm e}^{-5} \left(-1+17 \,{\mathrm e}^{5}\right) x$&$36$\\ default&${\mathrm e}^{-5} \left(-2 \,{\mathrm e}^{5} \left(\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}\right)-6 \,{\mathrm e}^{5} \left(x \ln \left(x \right)-x \right)-\frac{7 x^{2} {\mathrm e}^{5}}{2}-23 x \,{\mathrm e}^{5}-9 \,{\mathrm e}^{5} \ln \left(x \right)+x \right)$&$55$\\ \hline \end{longtable}"," ",0,"-(x+6)*x*ln(x)-3*x^2-17*x+exp(-5)*x-9*ln(x)","A"
5629,1,11,10,0.057000," ","int(-2*exp(exp(1/5))/(x*ln(x)^3-9*x*ln(x)^2+27*x*ln(x)-27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{{\mathrm e}^{\frac{1}{5}}}}{\left(\ln \left(x \right)-3\right)^{2}}$&$11$\\ norman&$\frac{{\mathrm e}^{{\mathrm e}^{\frac{1}{5}}}}{\left(\ln \left(x \right)-3\right)^{2}}$&$11$\\ risch&$\frac{{\mathrm e}^{{\mathrm e}^{\frac{1}{5}}}}{\left(\ln \left(x \right)-3\right)^{2}}$&$11$\\ \hline \end{longtable}"," ",0,"exp(exp(1/5))/(ln(x)-3)^2","A"
5630,1,22,22,0.129000," ","int(((-10*x*ln(5)^2-5*ln(5))*ln(x)-5*x*ln(5)^2-5*ln(5))*exp(5*ln(5)/(x^2*ln(5)+x)/ln(x))*exp(exp(5*ln(5)/(x^2*ln(5)+x)/ln(x))-4)/(x^4*ln(5)^2+2*x^3*ln(5)+x^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{3125^{\frac{1}{x \left(x \ln \left(5\right)+1\right) \ln \left(x \right)}}-4}$&$22$\\ \hline \end{longtable}"," ",0,"exp(3125^(1/x/(x*ln(5)+1)/ln(x))-4)","A"
5631,1,13,15,0.175000," ","int((-ln(3)+x^2-2*x)*exp((x*ln(1/2/x^2)+ln(3)+x^2)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3^{\frac{1}{x}} {\mathrm e}^{x}}{2 x^{2}}$&$13$\\ gosper&${\mathrm e}^{\frac{x \ln \left(\frac{1}{2 x^{2}}\right)+\ln \left(3\right)+x^{2}}{x}}$&$20$\\ default&${\mathrm e}^{\frac{x \ln \left(\frac{1}{2 x^{2}}\right)+\ln \left(3\right)+x^{2}}{x}}$&$20$\\ norman&${\mathrm e}^{\frac{x \ln \left(\frac{1}{2 x^{2}}\right)+\ln \left(3\right)+x^{2}}{x}}$&$20$\\ \hline \end{longtable}"," ",0,"1/2*3^(1/x)/x^2*exp(x)","A"
5632,1,17,16,0.253000," ","int((-x^2*ln(3)+12)*exp(4*x/(x^2*ln(3)+12))/(8*x^4*ln(3)^2+192*x^2*ln(3)+1152),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{\frac{4 x}{x^{2} \ln \left(3\right)+12}}}{32}$&$17$\\ risch&$\frac{{\mathrm e}^{\frac{4 x}{x^{2} \ln \left(3\right)+12}}}{32}$&$17$\\ norman&$\frac{\frac{x^{2} \ln \left(3\right) {\mathrm e}^{\frac{4 x}{x^{2} \ln \left(3\right)+12}}}{32}+\frac{3 \,{\mathrm e}^{\frac{4 x}{x^{2} \ln \left(3\right)+12}}}{8}}{x^{2} \ln \left(3\right)+12}$&$50$\\ \hline \end{longtable}"," ",0,"1/32*exp(4*x/(x^2*ln(3)+12))","A"
5633,1,12,11,0.036000," ","int(32*exp(x)*ln(4*exp(x)+261)/(4*exp(x)+261),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$4 \ln \left(4 \,{\mathrm e}^{x}+261\right)^{2}$&$12$\\ default&$4 \ln \left(4 \,{\mathrm e}^{x}+261\right)^{2}$&$12$\\ norman&$4 \ln \left(4 \,{\mathrm e}^{x}+261\right)^{2}$&$12$\\ risch&$4 \ln \left(4 \,{\mathrm e}^{x}+261\right)^{2}$&$12$\\ \hline \end{longtable}"," ",0,"4*ln(4*exp(x)+261)^2","A"
5634,0,0,22,0.289000," ","int(((12*x^2+4)*exp(3)-24*x^2-8)*exp((exp(3)-2)*ln(ln(x^2*exp(3*x^2-2))^2))/x/ln(x^2*exp(3*x^2-2)),x)","\[\int \frac{\left(\left(12 x^{2}+4\right) {\mathrm e}^{3}-24 x^{2}-8\right) {\mathrm e}^{\left({\mathrm e}^{3}-2\right) \ln \left(\ln \left(x^{2} {\mathrm e}^{3 x^{2}-2}\right)^{2}\right)}}{x \ln \left(x^{2} {\mathrm e}^{3 x^{2}-2}\right)}\, dx\]"," ",0,"int(((12*x^2+4)*exp(3)-24*x^2-8)*exp((exp(3)-2)*ln(ln(x^2*exp(3*x^2-2))^2))/x/ln(x^2*exp(3*x^2-2)),x)","F"
5635,1,27,26,0.242000," ","int(((2*(6*x^2+3*x-3)*ln(3)*ln(5)+(-6*x^2-6*x)*ln(3))*ln(x+1)-3)/(x+1)/exp(2*(-x^2+x)*ln(3)*ln(5)+x^2*ln(3))/ln(x+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,9^{x \left(x -1\right) \ln \left(5\right)} 3^{-x^{2}}}{\ln \left(x +1\right)}$&$27$\\ norman&$\frac{3 \,{\mathrm e}^{\left(-x^{2}+x \right) \ln \left(5\right) \ln \left(\frac{1}{9}\right)+x^{2} \ln \left(\frac{1}{3}\right)}}{\ln \left(x +1\right)}$&$32$\\ \hline \end{longtable}"," ",0,"3/((1/9)^(x*(x-1)*ln(5)))/(3^(x^2))/ln(x+1)","A"
5636,1,29,29,0.171000," ","int(((-3*ln(2)*ln(x)*ln(ln(x))^3+9*ln(2)*ln(x)*ln(ln(x))^2+(-9*ln(2)-6*x)*ln(x)*ln(ln(x))+(3*ln(2)+6*x)*ln(x)+12*x)*exp(x/(ln(2)*ln(ln(x))^2-2*ln(2)*ln(ln(x))+ln(2)))^2+(-9*ln(2)*exp(3*x)+ln(2))*ln(x)*ln(ln(x))^3+(27*ln(2)*exp(3*x)-3*ln(2))*ln(x)*ln(ln(x))^2+(-27*ln(2)*exp(3*x)+3*ln(2))*ln(x)*ln(ln(x))+(9*ln(2)*exp(3*x)-ln(2))*ln(x))/(3*ln(2)*ln(x)*ln(ln(x))^3-9*ln(2)*ln(x)*ln(ln(x))^2+9*ln(2)*ln(x)*ln(ln(x))-3*ln(2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{3}-{\mathrm e}^{3 x}-{\mathrm e}^{\frac{2 x}{\ln \left(2\right) \left(\ln \left(\ln \left(x \right)\right)-1\right)^{2}}} x$&$29$\\ \hline \end{longtable}"," ",0,"1/3*x-exp(3*x)-exp(2*x/ln(2)/(ln(ln(x))-1)^2)*x","A"
5637,1,34,22,0.033000," ","int((ln((ln(3)^2+(-2*exp(1)-32)*ln(3)+exp(1)^2+32*exp(1)+256)/x^3)^2+12)/x/ln((ln(3)^2+(-2*exp(1)-32)*ln(3)+exp(1)^2+32*exp(1)+256)/x^3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{\ln \left(\frac{\ln \left(3\right)^{2}+\left(-2 \,{\mathrm e}-32\right) \ln \left(3\right)+{\mathrm e}^{2}+32 \,{\mathrm e}+256}{x^{3}}\right)}+\ln \left(x \right)$&$34$\\ norman&$\frac{4}{\ln \left(\frac{\ln \left(3\right)^{2}+\left(-2 \,{\mathrm e}-32\right) \ln \left(3\right)+{\mathrm e}^{2}+32 \,{\mathrm e}+256}{x^{3}}\right)}+\ln \left(x \right)$&$36$\\ derivativedivides&$-\frac{\ln \left(\frac{\ln \left(3\right)^{2}+\left(-2 \,{\mathrm e}-32\right) \ln \left(3\right)+{\mathrm e}^{2}+32 \,{\mathrm e}+256}{x^{3}}\right)}{3}+\frac{4}{\ln \left(\frac{\ln \left(3\right)^{2}+\left(-2 \,{\mathrm e}-32\right) \ln \left(3\right)+{\mathrm e}^{2}+32 \,{\mathrm e}+256}{x^{3}}\right)}$&$64$\\ default&$-\frac{\ln \left(\frac{\ln \left(3\right)^{2}+\left(-2 \,{\mathrm e}-32\right) \ln \left(3\right)+{\mathrm e}^{2}+32 \,{\mathrm e}+256}{x^{3}}\right)}{3}+\frac{4}{\ln \left(\frac{\ln \left(3\right)^{2}+\left(-2 \,{\mathrm e}-32\right) \ln \left(3\right)+{\mathrm e}^{2}+32 \,{\mathrm e}+256}{x^{3}}\right)}$&$64$\\ \hline \end{longtable}"," ",0,"4/ln((ln(3)^2+(-2*exp(1)-32)*ln(3)+exp(2)+32*exp(1)+256)/x^3)+ln(x)","A"
5638,1,31,25,0.206000," ","int((ln(6)+(4*x^5+15*x^4)*ln(2)^4+(16*x^3+72*x^2)*ln(2)^2+45)/(ln(6)^2+(-2*x^5*ln(2)^4-16*x^3*ln(2)^2-30*x)*ln(6)+x^10*ln(2)^8+16*x^8*ln(2)^6+94*x^6*ln(2)^4+240*x^4*ln(2)^2+225*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{3+x}{-x^{5} \ln \left(2\right)^{4}-8 x^{3} \ln \left(2\right)^{2}+\ln \left(6\right)-15 x}$&$31$\\ default&$\frac{3+x}{-x^{5} \ln \left(2\right)^{4}-8 x^{3} \ln \left(2\right)^{2}+\ln \left(6\right)-15 x}$&$31$\\ risch&$\frac{3+x}{-x^{5} \ln \left(2\right)^{4}-8 x^{3} \ln \left(2\right)^{2}+\ln \left(3\right)+\ln \left(2\right)-15 x}$&$33$\\ norman&$\frac{\frac{\left(\ln \left(6\right)+45\right) x}{\ln \left(6\right)}+\frac{24 \ln \left(2\right)^{2} x^{3}}{\ln \left(6\right)}+\frac{3 \ln \left(2\right)^{4} x^{5}}{\ln \left(6\right)}}{-x^{5} \ln \left(2\right)^{4}-8 x^{3} \ln \left(2\right)^{2}+\ln \left(6\right)-15 x}$&$65$\\ \hline \end{longtable}"," ",0,"(3+x)/(-x^5*ln(2)^4-8*x^3*ln(2)^2+ln(6)-15*x)","A"
5639,1,29,26,0.096000," ","int(((x^3+2*x^2-3*x-12)*exp(1/2*(x^2+2*x+3)/x)+50*x^2)/(2*x^4+16*x^3+32*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{25}{4+x}+\frac{{\mathrm e}^{\frac{x^{2}+2 x +3}{2 x}}}{4+x}$&$29$\\ norman&$\frac{-25 x +{\mathrm e}^{\frac{x^{2}+2 x +3}{2 x}} x}{\left(4+x \right) x}$&$30$\\ \hline \end{longtable}"," ",0,"-25/(4+x)+1/(4+x)*exp(1/2*(x^2+2*x+3)/x)","A"
5640,1,24,31,0.068000," ","int((5*x^4+16*x^3-40*x^2+64*x-240)*exp(5)/(x^4-10*x^3+25*x^2)/exp(3)/exp(ln(x)+2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-2} \left(-5 x^{3}-8 x^{2}-16\right)}{x^{3} \left(x -5\right)}$&$24$\\ default&${\mathrm e}^{-3} {\mathrm e}^{5} {\mathrm e}^{-4} \left(\frac{16}{5 x^{3}}+\frac{16}{25 x^{2}}+\frac{216}{125 x}-\frac{841}{125 \left(x -5\right)}\right)$&$33$\\ gosper&$-\frac{{\mathrm e}^{5} \left(5 x^{3}+8 x^{2}+16\right) {\mathrm e}^{-4} {\mathrm e}^{-3}}{x^{3} \left(x -5\right)}$&$36$\\ norman&$\frac{\left(-5 \,{\mathrm e}^{-2} {\mathrm e}^{-3} {\mathrm e}^{5} x^{3}-16 \,{\mathrm e}^{-2} {\mathrm e}^{-3} {\mathrm e}^{5}-8 \,{\mathrm e}^{-2} {\mathrm e}^{-3} {\mathrm e}^{5} x^{2}\right) {\mathrm e}^{-2}}{x^{3} \left(x -5\right)}$&$57$\\ \hline \end{longtable}"," ",0,"exp(-2)*(-5*x^3-8*x^2-16)/x^3/(x-5)","A"
5641,1,22,21,0.045000," ","int(1/3*(-4*ln(x/exp(5/3*ln(2*x)+5/3))*exp(ln(x/exp(5/3*ln(2*x)+5/3))^2+1/4)+3*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +{\mathrm e}^{\ln \left(x \,{\mathrm e}^{-\frac{5 \ln \left(2 x \right)}{3}-\frac{5}{3}}\right)^{2}+\frac{1}{4}}$&$22$\\ \hline \end{longtable}"," ",0,"x+exp(ln(x/exp(5/3*ln(2*x)+5/3))^2+1/4)","A"
5642,0,0,22,0.023000," ","int(((-ln(exp(x)*x)+x+9)*((-25*ln(exp(x)*x)+200)/x)^(1/2)-2*ln(exp(x)*x)+16)*exp(((-25*ln(exp(x)*x)+200)/x)^(1/2))/(2*x^2*ln(exp(x)*x)-16*x^2),x)","\[\int \frac{\left(\left(-\ln \left({\mathrm e}^{x} x \right)+x +9\right) \sqrt{\frac{-25 \ln \left({\mathrm e}^{x} x \right)+200}{x}}-2 \ln \left({\mathrm e}^{x} x \right)+16\right) {\mathrm e}^{\sqrt{\frac{-25 \ln \left({\mathrm e}^{x} x \right)+200}{x}}}}{2 x^{2} \ln \left({\mathrm e}^{x} x \right)-16 x^{2}}\, dx\]"," ",0,"int(((-ln(exp(x)*x)+x+9)*((-25*ln(exp(x)*x)+200)/x)^(1/2)-2*ln(exp(x)*x)+16)*exp(((-25*ln(exp(x)*x)+200)/x)^(1/2))/(2*x^2*ln(exp(x)*x)-16*x^2),x)","F"
5643,1,29,25,0.250000," ","int(1/2*(-3*ln(2*exp(x)*x)^2+(18+6*x)*ln(2*exp(x)*x)+2*ln(2)-12*x-24)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{6+\frac{3 \ln \left(2 \,{\mathrm e}^{x} x \right)^{2}}{2}-6 \ln \left(2 \,{\mathrm e}^{x} x \right)-\ln \left(2\right)}{x}$&$29$\\ default&$\frac{6-6 x^{2}-3 x^{3}+3 \ln \left(2 \,{\mathrm e}^{x} x \right)^{2}-3 x \ln \left(2 \,{\mathrm e}^{x} x \right)^{2}+6 x^{2} \ln \left(2 \,{\mathrm e}^{x} x \right)+6 \ln \left(2 \,{\mathrm e}^{x} x \right)}{2 x}-\frac{\ln \left(2\right)}{x}+\frac{3}{x}-\frac{9 \ln \left(2 \,{\mathrm e}^{x} x \right)}{x}+3 \ln \left(2 \,{\mathrm e}^{x} x \right) \ln \left(x \right)-3 x \ln \left(x \right)+3 x -\frac{3 \ln \left(x \right)^{2}}{2}$&$106$\\ risch&$\frac{3 \ln \left({\mathrm e}^{x}\right)^{2}}{2 x}+\frac{3 \left(-4-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)-i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}+2 \ln \left(2\right)+2 \ln \left(x \right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}\right) \ln \left({\mathrm e}^{x}\right)}{2 x}+\frac{48-56 \ln \left(2\right)+12 \ln \left(2\right)^{2}-48 \ln \left(x \right)+12 \ln \left(x \right)^{2}+24 \ln \left(2\right) \ln \left(x \right)-24 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}-24 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}-3 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+6 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}+6 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}-12 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{4}-12 i \ln \left(2\right) \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}-12 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}-12 i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)-12 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)+24 i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}+6 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{5}+6 \pi^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{5}-3 \pi^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{4}-3 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{4}+24 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)+12 i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+12 i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+12 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+12 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}-3 \pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{6}}{8 x}$&$571$\\ \hline \end{longtable}"," ",0,"(6+3/2*ln(2*exp(x)*x)^2-6*ln(2*exp(x)*x)-ln(2))/x","A"
5644,1,20,14,0.071000," ","int(((-2*x^2+x)*ln(x)+exp(x)^2-18*x^2+9*x)*exp((4*exp(x)^2+x)/exp(x)^2)/x/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(9+\ln \left(x \right)\right) {\mathrm e}^{\left(4 \,{\mathrm e}^{2 x}+x \right) {\mathrm e}^{-2 x}}$&$20$\\ \hline \end{longtable}"," ",0,"(9+ln(x))*exp((4*exp(2*x)+x)*exp(-2*x))","A"
5645,1,23,23,0.094000," ","int((6*x*exp(exp(4/x))^3+18*x^2*exp(exp(4/x))^2+(-24*exp(4/x)+18*x^3-6*x)*exp(exp(4/x))+6*x^4)/(exp(exp(4/x))^3+3*x*exp(exp(4/x))^2+3*x^2*exp(exp(4/x))+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x^{2}-\frac{3 x^{2}}{\left({\mathrm e}^{{\mathrm e}^{\frac{4}{x}}}+x \right)^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"3*x^2-3*x^2/(exp(exp(4/x))+x)^2","A"
5646,1,55,27,0.070000," ","int((-3*exp(x)^2*exp(exp(x))^2+(-12*exp(x)^3+24*exp(x)^2+18*exp(x)*x^2)*exp(exp(x))-48*exp(x)^2+(-108*x^2+72*x)*exp(x)-27*x^4)/((x^2+6*x+9)*exp(x)^2*exp(exp(x))^2+((-8*x^2-56*x-96)*exp(x)^2+(-6*x^4-36*x^3-54*x^2)*exp(x))*exp(exp(x))+(16*x^2+128*x+256)*exp(x)^2+(24*x^4+168*x^3+288*x^2)*exp(x)+9*x^6+54*x^5+81*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{3+x}-\frac{12 \,{\mathrm e}^{x}}{\left(3+x \right) \left(3 x^{3}-x \,{\mathrm e}^{{\mathrm e}^{x}+x}+9 x^{2}+4 \,{\mathrm e}^{x} x -3 \,{\mathrm e}^{{\mathrm e}^{x}+x}+16 \,{\mathrm e}^{x}\right)}$&$55$\\ \hline \end{longtable}"," ",0,"3/(3+x)-12*exp(x)/(3+x)/(3*x^3-x*exp(exp(x)+x)+9*x^2+4*exp(x)*x-3*exp(exp(x)+x)+16*exp(x))","A"
5647,1,2291,29,2.351000," ","int((((-6*x^4+6*x^3+12*x^2+30)*ln((-x^4+x^3+2*x^2+5)/x^2)^2+(12*x^4-6*x^3+60)*ln((-x^4+x^3+2*x^2+5)/x^2))*ln(2/x)+(6*x^4-6*x^3-12*x^2-30)*ln((-x^4+x^3+2*x^2+5)/x^2)^2)/(x^7-x^6-2*x^5-5*x^3)/ln(2/x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2291$\\ \hline \end{longtable}"," ",0,"-12/x^2/(2*I*ln(2)-2*I*ln(x))^2*ln(x^4-x^3-2*x^2-5)^2-12*(2*I*Pi*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2-I*Pi*csgn(I/x^2*(x^4-x^3-2*x^2-5))^3-I*Pi*csgn(I/x^2)*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2-I*Pi*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-2*I*Pi+4*ln(x)-I*Pi*csgn(I*x^2)^3+I*Pi*csgn(I/x^2)*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5)))/x^2/(-2*ln(2)+2*ln(x))^2*ln(x^4-x^3-2*x^2-5)+3*(-Pi^2*csgn(I*x)^4*csgn(I*x^2)^2+4*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3-6*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4+4*Pi^2*csgn(I*x)*csgn(I*x^2)^5-4*Pi^2+16*ln(x)^2-8*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2-Pi^2*csgn(I/x^2*(x^4-x^3-2*x^2-5))^6-4*Pi^2*csgn(I/x^2*(x^4-x^3-2*x^2-5))^4+4*Pi^2*csgn(I/x^2*(x^4-x^3-2*x^2-5))^5-4*Pi^2*csgn(I*x)^2*csgn(I*x^2)+8*Pi^2*csgn(I*x)*csgn(I*x^2)^2-4*Pi^2*csgn(I/x^2)*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2-4*Pi^2*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2-2*Pi^2*csgn(I*x^2)^3*csgn(I/x^2*(x^4-x^3-2*x^2-5))^3-Pi^2*csgn(I/x^2)^2*csgn(I/x^2*(x^4-x^3-2*x^2-5))^4-2*Pi^2*csgn(I/x^2)*csgn(I/x^2*(x^4-x^3-2*x^2-5))^5-Pi^2*csgn(I*(x^4-x^3-2*x^2-5))^2*csgn(I/x^2*(x^4-x^3-2*x^2-5))^4-2*Pi^2*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5))^5+4*Pi^2*csgn(I/x^2)*csgn(I/x^2*(x^4-x^3-2*x^2-5))^4+4*Pi^2*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5))^4-Pi^2*csgn(I*x^2)^6-2*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I/x^2)*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2-2*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2+4*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I/x^2)*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2+4*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2+2*Pi^2*csgn(I*x^2)^3*csgn(I/x^2)*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5))-4*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I/x^2)*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5))+4*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I/x^2*(x^4-x^3-2*x^2-5))^3+4*Pi^2*csgn(I*x^2)^3*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2+8*I*ln(x)*Pi*csgn(I/x^2)*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5))-16*I*Pi*ln(x)+8*Pi^2*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2-4*Pi^2*csgn(I*x^2)^3-8*I*ln(x)*Pi*csgn(I/x^2*(x^4-x^3-2*x^2-5))^3-8*I*ln(x)*Pi*csgn(I*x)^2*csgn(I*x^2)+16*I*ln(x)*Pi*csgn(I*x)*csgn(I*x^2)^2-8*I*ln(x)*Pi*csgn(I/x^2)*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2-8*I*ln(x)*Pi*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2-4*Pi^2*csgn(I/x^2*(x^4-x^3-2*x^2-5))^3+4*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2-4*Pi^2*csgn(I/x^2)*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5))^3-2*Pi^2*csgn(I*x^2)^3*csgn(I/x^2)*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2-2*Pi^2*csgn(I*x^2)^3*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2-Pi^2*csgn(I/x^2)^2*csgn(I*(x^4-x^3-2*x^2-5))^2*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2+2*Pi^2*csgn(I/x^2)^2*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5))^3+2*Pi^2*csgn(I/x^2)*csgn(I*(x^4-x^3-2*x^2-5))^2*csgn(I/x^2*(x^4-x^3-2*x^2-5))^3+4*Pi^2*csgn(I/x^2)*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5))-8*I*ln(x)*Pi*csgn(I*x^2)^3+16*I*ln(x)*Pi*csgn(I/x^2*(x^4-x^3-2*x^2-5))^2-2*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I/x^2*(x^4-x^3-2*x^2-5))^3+2*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I/x^2)*csgn(I*(x^4-x^3-2*x^2-5))*csgn(I/x^2*(x^4-x^3-2*x^2-5)))/x^2/(-2*ln(2)+2*ln(x))^2","C"
5648,1,26,27,0.163000," ","int((-3*exp(-x*ln(2)+3*x)^2*exp(x)^2+(16*ln(2)-64)*exp(-x*ln(2)+3*x)*exp(x))/(9*x^2*exp(-x*ln(2)+3*x)^2*exp(x)^2-96*x*exp(-x*ln(2)+3*x)*exp(x)+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{3 x}+\frac{16}{3 x \left(3 \left(\frac{1}{2}\right)^{x} x \,{\mathrm e}^{4 x}-16\right)}$&$26$\\ norman&$\frac{{\mathrm e}^{-x \ln \left(2\right)+3 x} {\mathrm e}^{x}}{3 x \,{\mathrm e}^{-x \ln \left(2\right)+3 x} {\mathrm e}^{x}-16}$&$33$\\ \hline \end{longtable}"," ",0,"1/3/x+16/3/x/(3*(1/2)^x*x*exp(4*x)-16)","A"
5649,1,36,23,0.056000," ","int((((-4*x^2*exp(2)+4*x^4+24*x^2+1)*exp(exp(2)^2+(-2*x^2-12)*exp(2)+x^4+12*x^2+36)-7)*ln(x)+(-64*x^2*exp(2)+64*x^4+384*x^2+15)*exp(exp(2)^2+(-2*x^2-12)*exp(2)+x^4+12*x^2+36)-105)*exp((x*exp(exp(2)^2+(-2*x^2-12)*exp(2)+x^4+12*x^2+36)-7*x)/(16+ln(x)))/(ln(x)^2+32*ln(x)+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \left({\mathrm e}^{x^{4}-2 x^{2} {\mathrm e}^{2}+12 x^{2}-12 \,{\mathrm e}^{2}+{\mathrm e}^{4}+36}-7\right)}{16+\ln \left(x \right)}}$&$36$\\ \hline \end{longtable}"," ",0,"exp(x*(exp(x^4-2*x^2*exp(2)+12*x^2-12*exp(2)+exp(4)+36)-7)/(16+ln(x)))","A"
5650,1,16,13,0.040000," ","int(((x^2-632*x-2)*ln(x^2-632*x-2)-2*x^2+632*x)/(x^3-632*x^2-2*x)/ln(x^2-632*x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-\ln \left(\ln \left(x^{2}-632 x -2\right)\right)$&$16$\\ norman&$\ln \left(x \right)-\ln \left(\ln \left(x^{2}-632 x -2\right)\right)$&$16$\\ risch&$\ln \left(x \right)-\ln \left(\ln \left(x^{2}-632 x -2\right)\right)$&$16$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(ln(x^2-632*x-2))","A"
5651,1,13,15,0.074000," ","int(1/5*(5*x*exp(4+x)+4*x-4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 x}{5}+{\mathrm e}^{4+x}-\frac{4 \ln \left(x \right)}{5}$&$13$\\ risch&$\frac{4 x}{5}+{\mathrm e}^{4+x}-\frac{4 \ln \left(x \right)}{5}$&$13$\\ derivativedivides&$-\frac{4 \ln \left(x \right)}{5}+\frac{16}{5}+\frac{4 x}{5}+{\mathrm e}^{4+x}$&$14$\\ default&$-\frac{4 \ln \left(x \right)}{5}+\frac{16}{5}+\frac{4 x}{5}+{\mathrm e}^{4+x}$&$14$\\ \hline \end{longtable}"," ",0,"4/5*x+exp(4+x)-4/5*ln(x)","A"
5652,1,54,26,0.045000," ","int(((60*x^2-120)*ln(5)-120*x^2-40*x+320)*ln(x)-40*x^2*ln(5)+80*x^2+20*x+16,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-304+120 \ln \left(5\right)\right) x +\left(-20 \ln \left(5\right)+40\right) x^{3}+\left(-120 \ln \left(5\right)+320\right) x \ln \left(x \right)+\left(20 \ln \left(5\right)-40\right) x^{3} \ln \left(x \right)+20 x^{2}-20 x^{2} \ln \left(x \right)$&$54$\\ risch&$\left(20 x^{3} \ln \left(5\right)-40 x^{3}-120 x \ln \left(5\right)-20 x^{2}+320 x \right) \ln \left(x \right)-20 x^{3} \ln \left(5\right)+40 x^{3}+120 x \ln \left(5\right)+20 x^{2}-304 x$&$56$\\ default&$-304 x +20 \ln \left(5\right) \ln \left(x \right) x^{3}-20 x^{3} \ln \left(5\right)-40 x^{3} \ln \left(x \right)+40 x^{3}-120 x \ln \left(5\right) \ln \left(x \right)+120 x \ln \left(5\right)-20 x^{2} \ln \left(x \right)+20 x^{2}+320 x \ln \left(x \right)$&$62$\\ \hline \end{longtable}"," ",0,"(-304+120*ln(5))*x+(-20*ln(5)+40)*x^3+(-120*ln(5)+320)*x*ln(x)+(20*ln(5)-40)*x^3*ln(x)+20*x^2-20*x^2*ln(x)","B"
5653,1,14,13,0.161000," ","int(1/25*((16*exp(x)*x+16)*exp(exp(x))+256)*exp(1/25*(16*x*exp(exp(x))+256*x)/ln(2)^2)/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{16 \left({\mathrm e}^{{\mathrm e}^{x}}+16\right) x}{25 \ln \left(2\right)^{2}}}$&$14$\\ norman&${\mathrm e}^{\frac{16 x \,{\mathrm e}^{{\mathrm e}^{x}}+256 x}{25 \ln \left(2\right)^{2}}}$&$18$\\ \hline \end{longtable}"," ",0,"exp(16/25*(exp(exp(x))+16)*x/ln(2)^2)","A"
5654,1,334,22,0.904000," ","int((-90*ln(x^2)*ln(ln(x^2))+(120*exp(x)-180*x)*ln(x^2)-180)/(3*x*ln(x^2)*ln(ln(x^2))+(-4*exp(x)+3*x^2)*ln(x^2))/ln(9/16*x^2*ln(ln(x^2))^2+1/16*(-24*exp(x)*x+18*x^3)*ln(ln(x^2))+exp(x)^2-3/2*exp(x)*x^2+9/16*x^4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{30 i}{\pi  \mathrm{csgn}\left(i \left(-x^{2}-x \ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+\frac{4 \,{\mathrm e}^{x}}{3}\right)\right)^{2} \mathrm{csgn}\left(i \left(-x^{2}-x \ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+\frac{4 \,{\mathrm e}^{x}}{3}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(-x^{2}-x \ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+\frac{4 \,{\mathrm e}^{x}}{3}\right)\right) \mathrm{csgn}\left(i \left(-x^{2}-x \ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+\frac{4 \,{\mathrm e}^{x}}{3}\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(-x^{2}-x \ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+\frac{4 \,{\mathrm e}^{x}}{3}\right)^{2}\right)^{3}-8 i \ln \left(2\right)+4 i \ln \left(x^{2}+x \ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)-\frac{4 \,{\mathrm e}^{x}}{3}\right)}$&$334$\\ \hline \end{longtable}"," ",0,"30*I/(Pi*csgn(I*(-x^2-x*ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+4/3*exp(x)))^2*csgn(I*(-x^2-x*ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+4/3*exp(x))^2)+2*Pi*csgn(I*(-x^2-x*ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+4/3*exp(x)))*csgn(I*(-x^2-x*ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+4/3*exp(x))^2)^2+Pi*csgn(I*(-x^2-x*ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+4/3*exp(x))^2)^3-8*I*ln(2)+4*I*ln(x^2+x*ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)-4/3*exp(x)))","C"
5655,1,27,26,0.072000," ","int((((10*ln(x)-10)*exp(x/ln(x))-75*ln(x)^2)*exp(1/3*exp(x/ln(x))-1/3)^2-75*ln(x)^2)/exp(5*x+4/3)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$15 \,{\mathrm e}^{-5 x -\frac{4}{3}}+15 \,{\mathrm e}^{-5 x -2+\frac{2 \,{\mathrm e}^{\frac{x}{\ln \left(x \right)}}}{3}}$&$27$\\ \hline \end{longtable}"," ",0,"15*exp(-5*x-4/3)+15*exp(-5*x-2+2/3*exp(x/ln(x)))","A"
5656,1,26,22,0.043000," ","int((((-250*x^2-750*x)*ln(x)-25*x^3+50*x^2+375*x)*ln(3+x)^2+(50*x^3-250*x^2)*ln(x)*ln(3+x))/(144*x^4-1728*x^3+4320*x^2+14400*x-54000)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 x^{2} \ln \left(3+x \right)^{2}}{144 \left(x^{2}-10 x +25\right) \ln \left(x \right)}$&$26$\\ \hline \end{longtable}"," ",0,"25/144*x^2/(x^2-10*x+25)/ln(x)*ln(3+x)^2","A"
5657,1,2622,26,1.832000," ","int(((((-exp(2)*x-x^2+x)*exp(x)-4*exp(2)*x-4*x^2+4*x)*ln(exp(x)*x+4*x)*ln(x*ln(exp(x)*x+4*x))+((x+exp(2))*exp(x)+4*exp(2)+4*x)*ln(exp(x)*x+4*x)+((x+1)*exp(2)+x^2+x)*exp(x)+4*exp(2)+4*x)*exp(ln(ln(x*ln(exp(x)*x+4*x)))-x+4)+((exp(2)*x+2*x^2)*exp(x)+4*exp(2)*x+8*x^2)*ln(exp(x)*x+4*x)*ln(x*ln(exp(x)*x+4*x)))/(exp(x)*x+4*x)/ln(exp(x)*x+4*x)/ln(x*ln(exp(x)*x+4*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2622$\\ \hline \end{longtable}"," ",0,"ln(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3)*(x+exp(2))*exp(-x+4)+1/2*(-I*exp(4)*x*Pi*csgn(I*x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))*csgn(x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))+I*exp(6)*Pi*csgn(I*x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))*csgn(x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))^2-I*exp(6)*Pi-I*exp(4)*x*Pi*csgn(I*x)*csgn(I*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))*csgn(I*x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))+I*exp(4)*x*Pi*csgn(x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))^2-I*exp(4)*x*Pi*csgn(I*x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))^3+I*exp(4)*x*Pi*csgn(I*x)*csgn(I*x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))^2+I*exp(6)*Pi*csgn(I*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))*csgn(I*x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))^2+I*exp(4)*x*Pi*csgn(I*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))*csgn(I*x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))^2+I*exp(6)*Pi*csgn(I*x)*csgn(I*x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))^2+I*exp(4)*x*Pi*csgn(I*x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))*csgn(x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))^2-I*exp(6)*Pi*csgn(x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))^3-I*exp(6)*Pi*csgn(I*x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))^3+I*exp(6)*Pi*csgn(x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))^2-I*exp(4)*x*Pi-I*exp(6)*Pi*csgn(I*x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))*csgn(x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))-I*exp(4)*x*Pi*csgn(x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))^3-I*exp(6)*Pi*csgn(I*x)*csgn(I*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))*csgn(I*x*(Pi*csgn(I*x)*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)+2*I*ln(x)-Pi*csgn(I*x)*csgn(I*(exp(x)+4)*x)^2-Pi*csgn(I*(exp(x)+4))*csgn(I*(exp(x)+4)*x)^2+2*I*ln(exp(x)+4)+Pi*csgn(I*(exp(x)+4)*x)^3))-2*exp(6)*ln(2)+2*exp(6)*ln(x)-2*x*exp(4)*ln(2)+2*x*exp(4)*ln(x)+2*x*exp(2+x)+2*exp(x)*x^2)*exp(-x)","C"
5658,1,67,42,0.632000," ","int((-432*x^3*exp(1)^4+(1296*x^3+2592*x^2)*exp(1)^3+(-1296*x^3-5184*x^2-4320*x)*exp(1)^2+(432*x^3+2592*x^2+4320*x+1728)*exp(1))*exp((216*x^2*exp(1)^3+(-432*x^2-864*x)*exp(1)^2+(216*x^2+864*x+864)*exp(1))/(x^4*exp(1)^2+(-2*x^4-2*x^3)*exp(1)+x^4+2*x^3+x^2))/(x^6*exp(1)^3+(-3*x^6-3*x^5)*exp(1)^2+(3*x^6+6*x^5+3*x^4)*exp(1)-x^6-3*x^5-3*x^4-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{216 \,{\mathrm e} \left(x^{2} {\mathrm e}^{2}-2 x^{2} {\mathrm e}-4 x \,{\mathrm e}+x^{2}+4 x +4\right)}{x^{2} \left(x^{2} {\mathrm e}^{2}-2 x^{2} {\mathrm e}-2 x \,{\mathrm e}+x^{2}+2 x +1\right)}}$&$67$\\ risch&${\mathrm e}^{-\frac{216 \left(-2 x^{2} {\mathrm e}^{2}+x^{2} {\mathrm e}+x^{2} {\mathrm e}^{3}-4 \,{\mathrm e}^{2} x +4 x \,{\mathrm e}+4 \,{\mathrm e}\right)}{x^{2} \left(2 x^{2} {\mathrm e}-x^{2} {\mathrm e}^{2}+2 x \,{\mathrm e}-x^{2}-2 x -1\right)}}$&$72$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{216 x^{2} {\mathrm e}^{3}+\left(-432 x^{2}-864 x \right) {\mathrm e}^{2}+\left(216 x^{2}+864 x +864\right) {\mathrm e}}{x^{4} {\mathrm e}^{2}+\left(-2 x^{4}-2 x^{3}\right) {\mathrm e}+x^{4}+2 x^{3}+x^{2}}}+\left(-2 \,{\mathrm e}+2\right) x^{3} {\mathrm e}^{\frac{216 x^{2} {\mathrm e}^{3}+\left(-432 x^{2}-864 x \right) {\mathrm e}^{2}+\left(216 x^{2}+864 x +864\right) {\mathrm e}}{x^{4} {\mathrm e}^{2}+\left(-2 x^{4}-2 x^{3}\right) {\mathrm e}+x^{4}+2 x^{3}+x^{2}}}+\left({\mathrm e}^{2}-2 \,{\mathrm e}+1\right) x^{4} {\mathrm e}^{\frac{216 x^{2} {\mathrm e}^{3}+\left(-432 x^{2}-864 x \right) {\mathrm e}^{2}+\left(216 x^{2}+864 x +864\right) {\mathrm e}}{x^{4} {\mathrm e}^{2}+\left(-2 x^{4}-2 x^{3}\right) {\mathrm e}+x^{4}+2 x^{3}+x^{2}}}}{x^{2} \left(x \,{\mathrm e}-x -1\right)^{2}}$&$270$\\ \hline \end{longtable}"," ",0,"exp(216*exp(1)*(x^2*exp(1)^2-2*x^2*exp(1)-4*x*exp(1)+x^2+4*x+4)/x^2/(x^2*exp(1)^2-2*x^2*exp(1)-2*x*exp(1)+x^2+2*x+1))","A"
5659,1,23,25,0.179000," ","int((-8*exp(x^3)^2+(16*ln(2)^2-3*x^3+16*x-15)*exp(x^3)-8*ln(2)^4+(-16*x+15)*ln(2)^2-8*x^2+16*x-7)/(4*exp(x^3)^2+(-8*ln(2)^2-8*x+8)*exp(x^3)+4*ln(2)^4+(8*x-8)*ln(2)^2+4*x^2-8*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x -\frac{x}{4 \left(\ln \left(2\right)^{2}+x -{\mathrm e}^{x^{3}}-1\right)}$&$23$\\ norman&$\frac{\left(\frac{7}{4}-2 \ln \left(2\right)^{2}\right) {\mathrm e}^{x^{3}}-2 x^{2}+2 \,{\mathrm e}^{x^{3}} x +2 \ln \left(2\right)^{4}-\frac{15 \ln \left(2\right)^{2}}{4}+\frac{7}{4}}{\ln \left(2\right)^{2}+x -{\mathrm e}^{x^{3}}-1}$&$56$\\ \hline \end{longtable}"," ",0,"-2*x-1/4*x/(ln(2)^2+x-exp(x^3)-1)","A"
5660,1,30,23,0.095000," ","int((2*x^4*ln(1/40*(8*ln(3)*ln(5)+200*ln(3)+1)/ln(3))^2-2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\frac{8 \ln \left(3\right) \ln \left(5\right)+200 \ln \left(3\right)+1}{40 \ln \left(3\right)}\right)^{2} x^{2}+\frac{1}{x^{2}}$&$30$\\ gosper&$\frac{x^{4} \ln \left(\frac{8 \ln \left(3\right) \ln \left(5\right)+200 \ln \left(3\right)+1}{40 \ln \left(3\right)}\right)^{2}+1}{x^{2}}$&$32$\\ norman&$\frac{1+\left(\ln \left(40\right)^{2}-2 \ln \left(40\right) \ln \left(8 \ln \left(3\right) \ln \left(5\right)+200 \ln \left(3\right)+1\right)+2 \ln \left(40\right) \ln \left(\ln \left(3\right)\right)+\ln \left(8 \ln \left(3\right) \ln \left(5\right)+200 \ln \left(3\right)+1\right)^{2}-2 \ln \left(8 \ln \left(3\right) \ln \left(5\right)+200 \ln \left(3\right)+1\right) \ln \left(\ln \left(3\right)\right)+\ln \left(\ln \left(3\right)\right)^{2}\right) x^{4}}{x^{2}}$&$78$\\ risch&$\ln \left(8 \ln \left(3\right) \ln \left(5\right)+200 \ln \left(3\right)+1\right)^{2} x^{2}-6 \ln \left(8 \ln \left(3\right) \ln \left(5\right)+200 \ln \left(3\right)+1\right) \ln \left(2\right) x^{2}-2 \ln \left(8 \ln \left(3\right) \ln \left(5\right)+200 \ln \left(3\right)+1\right) \ln \left(5\right) x^{2}-2 \ln \left(8 \ln \left(3\right) \ln \left(5\right)+200 \ln \left(3\right)+1\right) \ln \left(\ln \left(3\right)\right) x^{2}+9 x^{2} \ln \left(2\right)^{2}+6 x^{2} \ln \left(2\right) \ln \left(5\right)+6 \ln \left(2\right) \ln \left(\ln \left(3\right)\right) x^{2}+x^{2} \ln \left(5\right)^{2}+2 \ln \left(5\right) \ln \left(\ln \left(3\right)\right) x^{2}+\ln \left(\ln \left(3\right)\right)^{2} x^{2}+\frac{1}{x^{2}}$&$140$\\ \hline \end{longtable}"," ",0,"ln(1/40*(8*ln(3)*ln(5)+200*ln(3)+1)/ln(3))^2*x^2+1/x^2","A"
5661,1,23,22,0.064000," ","int(((4*x^3-4*x^2)*exp(x)*ln(x)^8+((-4*x^2+4*x)*exp(x)-x^2*ln(3))*ln(x)^4-4*x^2*ln(3)*ln(x)^3+(x-1)*exp(x))/(4*x^4*ln(x)^8-4*x^3*ln(x)^4+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}}{x}+\frac{\ln \left(3\right)}{4 x \ln \left(x \right)^{4}-2}$&$23$\\ \hline \end{longtable}"," ",0,"exp(x)/x+1/2*ln(3)/(2*x*ln(x)^4-1)","A"
5662,1,32,20,0.046000," ","int(((-1000000*x^20-15000000*x^19-55000000*x^18+175000000*x^17+1500000000*x^16+2500000000*x^15)*exp(x)+8000000*x^20+150000000*x^19+1050000000*x^18+3250000000*x^17+3750000000*x^16)/(81*exp(x)^5+810*x*exp(x)^4+3240*x^2*exp(x)^3+6480*exp(x)^2*x^3+6480*exp(x)*x^4+2592*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{250000 \left(x^{4}+20 x^{3}+150 x^{2}+500 x +625\right) x^{16}}{81 \left({\mathrm e}^{x}+2 x \right)^{4}}$&$32$\\ \hline \end{longtable}"," ",0,"250000/81*(x^4+20*x^3+150*x^2+500*x+625)*x^16/(exp(x)+2*x)^4","A"
5663,1,20,22,0.033000," ","int(((12*ln(x)*ln(ln(x))-12*x*ln(x))*ln(ln(ln(x))-x)^2+(3*x^2*ln(x)*ln(ln(x))-3*x^3*ln(x))*ln(ln(ln(x))-x)+3*x^3*ln(x)-3*x^2)/(x^2*ln(x)*ln(ln(x))-x^3*ln(x))/ln(ln(ln(x))-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{12}{x}+\frac{3 x}{\ln \left(\ln \left(\ln \left(x \right)\right)-x \right)}$&$20$\\ \hline \end{longtable}"," ",0,"-12/x+3*x/ln(ln(ln(x))-x)","A"
5664,1,177,35,0.143000," ","int(((x^5-4*x^4+5*x^2)*ln((x+1)/(x^2-5*x+5))+(x^5-6*x^4+8*x^3+5*x^2-10*x)*exp(x)+x^7-4*x^6-2*x^5+21*x^4-18*x^3-15*x^2+10*x)/((x^5-4*x^4+5*x^2)*ln((x+1)/(x^2-5*x+5))^2+((-2*x^4+8*x^3-10*x)*exp(x)-2*x^7+8*x^6-6*x^5+16*x^4-8*x^3-30*x^2+10*x)*ln((x+1)/(x^2-5*x+5))+(x^3-4*x^2+5)*exp(x)^2+(2*x^6-8*x^5+6*x^4-16*x^3+8*x^2+30*x-10)*exp(x)+x^9-4*x^8+6*x^7-21*x^6+17*x^5-12*x^4+15*x^3+41*x^2-30*x+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x^{2}}{i \pi  x \,\mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(\frac{i}{x^{2}-5 x +5}\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)}{x^{2}-5 x +5}\right)-i \pi  x \,\mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)}{x^{2}-5 x +5}\right)^{2}-i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{2}-5 x +5}\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)}{x^{2}-5 x +5}\right)^{2}+i \pi  x \mathrm{csgn}\left(\frac{i \left(x +1\right)}{x^{2}-5 x +5}\right)^{3}+2 x^{3}-2 \ln \left(x +1\right) x +2 x \ln \left(x^{2}-5 x +5\right)+6 x +2 \,{\mathrm e}^{x}-2}$&$177$\\ \hline \end{longtable}"," ",0,"-2*x^2/(I*Pi*x*csgn(I*(x+1))*csgn(I/(x^2-5*x+5))*csgn(I*(x+1)/(x^2-5*x+5))-I*Pi*x*csgn(I*(x+1))*csgn(I*(x+1)/(x^2-5*x+5))^2-I*Pi*x*csgn(I/(x^2-5*x+5))*csgn(I*(x+1)/(x^2-5*x+5))^2+I*Pi*x*csgn(I*(x+1)/(x^2-5*x+5))^3+2*x^3-2*ln(x+1)*x+2*x*ln(x^2-5*x+5)+6*x+2*exp(x)-2)","C"
5665,1,18,29,0.033000," ","int(((4*x+4)*ln(3)-4)/(ln(3)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 x +\frac{2 \ln \left(3\right) x^{2}}{\ln \left(3\right)-1}$&$18$\\ gosper&$\frac{2 x \left(x \ln \left(3\right)+2 \ln \left(3\right)-2\right)}{\ln \left(3\right)-1}$&$20$\\ default&$\frac{\ln \left(3\right) \left(2 x^{2}+4 x \right)-4 x}{\ln \left(3\right)-1}$&$24$\\ risch&$\frac{2 \ln \left(3\right) x^{2}}{\ln \left(3\right)-1}+\frac{4 x \ln \left(3\right)}{\ln \left(3\right)-1}-\frac{4 x}{\ln \left(3\right)-1}$&$35$\\ \hline \end{longtable}"," ",0,"4*x+2*ln(3)/(ln(3)-1)*x^2","A"
5666,1,9,16,0.015000," ","int(294*x-245,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$49 x \left(3 x -5\right)$&$9$\\ default&$147 x^{2}-245 x$&$10$\\ norman&$147 x^{2}-245 x$&$10$\\ risch&$147 x^{2}-245 x$&$10$\\ \hline \end{longtable}"," ",0,"49*x*(3*x-5)","A"
5667,1,20,24,7.326000," ","int((-450*exp(3)-27*x^3+2025*x+12150)/(x^3*exp(3)^2+(-6*x^4-54*x^3)*exp(3)+9*x^5+162*x^4+729*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{9 \left(x^{2}-25\right)}{x^{2} \left(-27+{\mathrm e}^{3}-3 x \right)}$&$20$\\ norman&$\frac{-9 x^{2}+225}{x^{2} \left(-27+{\mathrm e}^{3}-3 x \right)}$&$21$\\ risch&$\frac{-9 x^{2}+225}{x^{2} \left(-27+{\mathrm e}^{3}-3 x \right)}$&$21$\\ \hline \end{longtable}"," ",0,"-9/x^2*(x^2-25)/(-27+exp(3)-3*x)","A"
5668,1,56,25,0.472000," ","int(((-2*ln(x)+2)*ln(1/3*(-2*ln(2)*ln(x)+8*x*ln(2))/x)+4-4*ln(x))/(x*ln(5)^8*ln(x)-4*x^2*ln(5)^8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{4 \ln \left(\frac{-2 \ln \left(2\right) \ln \left(x \right)+8 x \ln \left(2\right)}{3 x}\right)}{\ln \left(5\right)}+\frac{\ln \left(\frac{-2 \ln \left(2\right) \ln \left(x \right)+8 x \ln \left(2\right)}{3 x}\right)^{2}}{\ln \left(5\right)}}{\ln \left(5\right)^{7}}$&$56$\\ default&$-\frac{4 \ln \left(x \right)}{\ln \left(5\right)^{8}}+\frac{4 \ln \left(4 x -\ln \left(x \right)\right)}{\ln \left(5\right)^{8}}+\frac{\ln \left(\frac{4 x -\ln \left(x \right)}{x}\right)^{2}}{\ln \left(5\right)^{8}}-\frac{2 \ln \left(\ln \left(2\right)\right) \ln \left(x \right)}{\ln \left(5\right)^{8}}+\frac{2 \ln \left(\ln \left(2\right)\right) \ln \left(4 x -\ln \left(x \right)\right)}{\ln \left(5\right)^{8}}-\frac{2 \ln \left(2\right) \ln \left(x \right)}{\ln \left(5\right)^{8}}+\frac{2 \ln \left(2\right) \ln \left(4 x -\ln \left(x \right)\right)}{\ln \left(5\right)^{8}}+\frac{2 \ln \left(3\right) \ln \left(x \right)}{\ln \left(5\right)^{8}}-\frac{2 \ln \left(3\right) \ln \left(4 x -\ln \left(x \right)\right)}{\ln \left(5\right)^{8}}$&$128$\\ risch&$\frac{\ln \left(x -\frac{\ln \left(x \right)}{4}\right)^{2}}{\ln \left(5\right)^{8}}-\frac{2 \ln \left(x \right) \ln \left(x -\frac{\ln \left(x \right)}{4}\right)}{\ln \left(5\right)^{8}}+\frac{i \pi  \ln \left(-4 x +\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-x +\frac{\ln \left(x \right)}{4}\right)}{x}\right)^{2}}{\ln \left(5\right)^{8}}+\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-x +\frac{\ln \left(x \right)}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(-x +\frac{\ln \left(x \right)}{4}\right)}{x}\right)}{\ln \left(5\right)^{8}}-\frac{i \pi  \ln \left(-4 x +\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-x +\frac{\ln \left(x \right)}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(-x +\frac{\ln \left(x \right)}{4}\right)}{x}\right)}{\ln \left(5\right)^{8}}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i \left(-x +\frac{\ln \left(x \right)}{4}\right)}{x}\right)^{3}}{\ln \left(5\right)^{8}}-\frac{i \pi  \ln \left(-4 x +\ln \left(x \right)\right) \mathrm{csgn}\left(i \left(-x +\frac{\ln \left(x \right)}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(-x +\frac{\ln \left(x \right)}{4}\right)}{x}\right)^{2}}{\ln \left(5\right)^{8}}+\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(-x +\frac{\ln \left(x \right)}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(-x +\frac{\ln \left(x \right)}{4}\right)}{x}\right)^{2}}{\ln \left(5\right)^{8}}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-x +\frac{\ln \left(x \right)}{4}\right)}{x}\right)^{2}}{\ln \left(5\right)^{8}}+\frac{i \pi  \ln \left(-4 x +\ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \left(-x +\frac{\ln \left(x \right)}{4}\right)}{x}\right)^{3}}{\ln \left(5\right)^{8}}+\frac{\ln \left(x \right)^{2}}{\ln \left(5\right)^{8}}+\frac{2 \ln \left(3\right) \ln \left(x \right)}{\ln \left(5\right)^{8}}-\frac{6 \ln \left(2\right) \ln \left(x \right)}{\ln \left(5\right)^{8}}-\frac{2 \ln \left(\ln \left(2\right)\right) \ln \left(x \right)}{\ln \left(5\right)^{8}}-\frac{2 \ln \left(3\right) \ln \left(-4 x +\ln \left(x \right)\right)}{\ln \left(5\right)^{8}}+\frac{6 \ln \left(2\right) \ln \left(-4 x +\ln \left(x \right)\right)}{\ln \left(5\right)^{8}}+\frac{2 \ln \left(-4 x +\ln \left(x \right)\right) \ln \left(\ln \left(2\right)\right)}{\ln \left(5\right)^{8}}-\frac{4 \ln \left(x \right)}{\ln \left(5\right)^{8}}+\frac{4 \ln \left(-4 x +\ln \left(x \right)\right)}{\ln \left(5\right)^{8}}$&$446$\\ \hline \end{longtable}"," ",0,"(4/ln(5)*ln(1/3*(-2*ln(2)*ln(x)+8*x*ln(2))/x)+1/ln(5)*ln(1/3*(-2*ln(2)*ln(x)+8*x*ln(2))/x)^2)/ln(5)^7","B"
5669,1,35,21,0.059000," ","int(((x^2+2*x)*exp(x)^2*ln(x)^3+((3*x^2+6*x)*exp(x)^2+20*exp(x)*x)*ln(x)^2+((3*x^2+6*x)*exp(x)^2+30*exp(x)*x-25*x^2+50*x)*ln(x)+(x^2+2*x)*exp(x)^2+10*exp(x)*x-25*x^2)/(exp(x)*ln(x)^3+3*exp(x)*ln(x)^2+3*exp(x)*ln(x)+exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x} x^{2}+\frac{5 x^{2} \left(2 \,{\mathrm e}^{x} \ln \left(x \right)+2 \,{\mathrm e}^{x}+5\right) {\mathrm e}^{-x}}{\left(\ln \left(x \right)+1\right)^{2}}$&$35$\\ \hline \end{longtable}"," ",0,"exp(x)*x^2+5*x^2*(2*exp(x)*ln(x)+2*exp(x)+5)/(ln(x)+1)^2*exp(-x)","A"
5670,1,28,21,0.056000," ","int(1/2*((20*x+20)*exp(x)+2*(-7*x^6-3)*ln(5)+40*x)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-3 x -x^{7}+\frac{10 x^{2}}{\ln \left(5\right)}+\frac{10 \,{\mathrm e}^{x} x}{\ln \left(5\right)}$&$28$\\ risch&$-3 x -x^{7}+\frac{10 x^{2}}{\ln \left(5\right)}+\frac{10 \,{\mathrm e}^{x} x}{\ln \left(5\right)}$&$28$\\ default&$\frac{20 \,{\mathrm e}^{x} x +20 x^{2}-2 x^{7} \ln \left(5\right)-6 x \ln \left(5\right)}{2 \ln \left(5\right)}$&$30$\\ \hline \end{longtable}"," ",0,"-3*x-x^7+10*x^2/ln(5)+10*exp(x)/ln(5)*x","A"
5671,1,16,20,0.037000," ","int((1-2*x)*exp(2)*exp(-ln(3)+4*exp(4)-x^2+x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{4+4 \,{\mathrm e}^{4}-x^{2}+x}}{3}$&$16$\\ gosper&${\mathrm e}^{-\ln \left(3\right)+4 \,{\mathrm e}^{4}-x^{2}+x +4}$&$18$\\ derivativedivides&${\mathrm e}^{-\ln \left(3\right)+4 \,{\mathrm e}^{4}-x^{2}+x +2} {\mathrm e}^{2}$&$21$\\ default&${\mathrm e}^{-\ln \left(3\right)+4 \,{\mathrm e}^{4}-x^{2}+x +2} {\mathrm e}^{2}$&$21$\\ norman&${\mathrm e}^{-\ln \left(3\right)+4 \,{\mathrm e}^{4}-x^{2}+x +2} {\mathrm e}^{2}$&$21$\\ \hline \end{longtable}"," ",0,"1/3*exp(4+4*exp(4)-x^2+x)","A"
5672,1,18,19,0.435000," ","int((-10*ln(-x/(x-5))*ln(x)+5-x)/(x^2-5*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(-\frac{x}{x -5}\right)^{2}-\ln \left(\ln \left(x \right)\right)$&$18$\\ default&$-\ln \left(\ln \left(x \right)\right)+\ln \left(-1-\frac{5}{x -5}\right)^{2}$&$19$\\ risch&$\ln \left(x -5\right)^{2}-2 \ln \left(x \right) \ln \left(x -5\right)+i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}+2 i \pi  \ln \left(x \right)-i \pi  \ln \left(x -5\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{3}-i \pi  \ln \left(x -5\right) \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}-i \pi  \ln \left(x -5\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}+i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{3}-i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)-2 i \pi  \ln \left(x -5\right)+2 i \pi  \ln \left(x -5\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}+i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}+i \pi  \ln \left(x -5\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i x}{x -5}\right)^{2}+\ln \left(x \right)^{2}-\ln \left(\ln \left(x \right)\right)$&$281$\\ \hline \end{longtable}"," ",0,"ln(-x/(x-5))^2-ln(ln(x))","A"
5673,1,19,24,0.096000," ","int((1-2*x)/exp(((5+2*x)*exp(2)+9)/exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-\left(2 \,{\mathrm e}^{2} x +5 \,{\mathrm e}^{2}+9\right) {\mathrm e}^{-2}}$&$19$\\ norman&$x \,{\mathrm e}^{-\left(\left(5+2 x \right) {\mathrm e}^{2}+9\right) {\mathrm e}^{-2}}$&$21$\\ gosper&$x \,{\mathrm e}^{-\left(2 \,{\mathrm e}^{2} x +5 \,{\mathrm e}^{2}+9\right) {\mathrm e}^{-2}}$&$22$\\ meijerg&$\frac{{\mathrm e}^{-2 x -9 \,{\mathrm e}^{-2}+2 \,{\mathrm e}^{-5} x} \left(1-{\mathrm e}^{-2 \,{\mathrm e}^{-5} x}\right)}{2}-\frac{{\mathrm e}^{-2 x -9 \,{\mathrm e}^{-2}+2 \,{\mathrm e}^{-5} x +5} \left(1-\frac{\left(2+4 \,{\mathrm e}^{-5} x \right) {\mathrm e}^{-2 \,{\mathrm e}^{-5} x}}{2}\right)}{2}$&$62$\\ derivativedivides&$-\frac{5 \,{\mathrm e}^{-2 x -\left(5 \,{\mathrm e}^{2}+9\right) {\mathrm e}^{-2}}}{2}+\frac{{\mathrm e}^{-2 x -\left(5 \,{\mathrm e}^{2}+9\right) {\mathrm e}^{-2}} \left(2 x +\left(5 \,{\mathrm e}^{2}+9\right) {\mathrm e}^{-2}\right)}{2}-\frac{9 \,{\mathrm e}^{-2 x -\left(5 \,{\mathrm e}^{2}+9\right) {\mathrm e}^{-2}} {\mathrm e}^{-2}}{2}$&$81$\\ default&$-\frac{5 \,{\mathrm e}^{-2 x -\left(5 \,{\mathrm e}^{2}+9\right) {\mathrm e}^{-2}}}{2}+\frac{{\mathrm e}^{-2 x -\left(5 \,{\mathrm e}^{2}+9\right) {\mathrm e}^{-2}} \left(2 x +\left(5 \,{\mathrm e}^{2}+9\right) {\mathrm e}^{-2}\right)}{2}-\frac{9 \,{\mathrm e}^{-2 x -\left(5 \,{\mathrm e}^{2}+9\right) {\mathrm e}^{-2}} {\mathrm e}^{-2}}{2}$&$81$\\ \hline \end{longtable}"," ",0,"x*exp(-(2*exp(2)*x+5*exp(2)+9)*exp(-2))","A"
5674,1,4,6,0.014000," ","int(2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{2}$&$4$\\ default&$x^{2}$&$4$\\ norman&$x^{2}$&$4$\\ risch&$x^{2}$&$4$\\ \hline \end{longtable}"," ",0,"x^2","A"
5675,1,768,28,2.040000," ","int(1/2*x*ln(x*exp(1/25*exp(5-x)^2-x))^2+1/100*(-4*x^2*exp(5-x)^2-50*x^2+50*x)*ln(x*exp(1/25*exp(5-x)^2-x))+1/2*x+1/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{4}+\frac{x^{2}}{4}+\frac{x^{2} \ln \left({\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{2}}{4}+\frac{\left(50 x^{2} \ln \left(x \right)-25 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)+25 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{2}+25 i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{2}-25 i \pi  \,x^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{3}\right) \ln \left({\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)}{100}+\frac{x^{2} \ln \left(x \right)^{2}}{4}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right) \ln \left(x \right)}{4}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{3} \ln \left(x \right)}{4}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{2} \ln \left(x \right)}{4}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{2} \ln \left(x \right)}{4}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{2}}{16}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{3}}{8}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{4}}{16}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{3}}{8}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{4}}{4}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{5}}{8}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i {\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{4}}{16}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i {\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{5}}{8}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{{\mathrm e}^{-2 x +10}}{25}-x}\right)^{6}}{16}$&$768$\\ \hline \end{longtable}"," ",0,"1/4*x+1/4*x^2+1/4*x^2*ln(exp(1/25*exp(-2*x+10)-x))^2+1/100*(50*x^2*ln(x)-25*I*Pi*x^2*csgn(I*x)*csgn(I*exp(1/25*exp(-2*x+10)-x))*csgn(I*x*exp(1/25*exp(-2*x+10)-x))+25*I*Pi*x^2*csgn(I*x)*csgn(I*x*exp(1/25*exp(-2*x+10)-x))^2+25*I*Pi*x^2*csgn(I*exp(1/25*exp(-2*x+10)-x))*csgn(I*x*exp(1/25*exp(-2*x+10)-x))^2-25*I*Pi*x^2*csgn(I*x*exp(1/25*exp(-2*x+10)-x))^3)*ln(exp(1/25*exp(-2*x+10)-x))+1/4*x^2*ln(x)^2-1/4*I*Pi*x^2*csgn(I*x)*csgn(I*exp(1/25*exp(-2*x+10)-x))*csgn(I*x*exp(1/25*exp(-2*x+10)-x))*ln(x)-1/4*I*Pi*x^2*csgn(I*x*exp(1/25*exp(-2*x+10)-x))^3*ln(x)+1/4*I*Pi*x^2*csgn(I*x)*csgn(I*x*exp(1/25*exp(-2*x+10)-x))^2*ln(x)+1/4*I*Pi*x^2*csgn(I*exp(1/25*exp(-2*x+10)-x))*csgn(I*x*exp(1/25*exp(-2*x+10)-x))^2*ln(x)-1/16*Pi^2*x^2*csgn(I*x)^2*csgn(I*exp(1/25*exp(-2*x+10)-x))^2*csgn(I*x*exp(1/25*exp(-2*x+10)-x))^2+1/8*Pi^2*x^2*csgn(I*x)^2*csgn(I*exp(1/25*exp(-2*x+10)-x))*csgn(I*x*exp(1/25*exp(-2*x+10)-x))^3-1/16*Pi^2*x^2*csgn(I*x)^2*csgn(I*x*exp(1/25*exp(-2*x+10)-x))^4+1/8*Pi^2*x^2*csgn(I*x)*csgn(I*exp(1/25*exp(-2*x+10)-x))^2*csgn(I*x*exp(1/25*exp(-2*x+10)-x))^3-1/4*Pi^2*x^2*csgn(I*x)*csgn(I*exp(1/25*exp(-2*x+10)-x))*csgn(I*x*exp(1/25*exp(-2*x+10)-x))^4+1/8*Pi^2*x^2*csgn(I*x)*csgn(I*x*exp(1/25*exp(-2*x+10)-x))^5-1/16*Pi^2*x^2*csgn(I*exp(1/25*exp(-2*x+10)-x))^2*csgn(I*x*exp(1/25*exp(-2*x+10)-x))^4+1/8*Pi^2*x^2*csgn(I*exp(1/25*exp(-2*x+10)-x))*csgn(I*x*exp(1/25*exp(-2*x+10)-x))^5-1/16*Pi^2*x^2*csgn(I*x*exp(1/25*exp(-2*x+10)-x))^6","C"
5676,1,23,23,0.063000," ","int(((8*x^2+2)*ln(x)^3+(-96*x^3-24*x)*ln(x)^2+(384*x^4+96*x^2)*ln(x)-512*x^5-128*x^3+320*x-80)/(x*ln(x)^3-12*x^2*ln(x)^2+48*x^3*ln(x)-64*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2}+2 \ln \left(x \right)+\frac{40}{\left(4 x -\ln \left(x \right)\right)^{2}}$&$23$\\ norman&$\frac{40+64 x^{4}+4 x^{2} \ln \left(x \right)^{2}-32 x^{3} \ln \left(x \right)}{\left(4 x -\ln \left(x \right)\right)^{2}}+2 \ln \left(x \right)$&$40$\\ \hline \end{longtable}"," ",0,"4*x^2+2*ln(x)+40/(4*x-ln(x))^2","A"
5677,1,28,23,0.140000," ","int(((-exp(4)*exp(5)+exp(4)+1)*exp(x)^2+((-2*x-6)*exp(4)*exp(5)+(2*x+10)*exp(4)+2*x+6)*exp(x)+(-x^2-6*x-9)*exp(4)*exp(5)+(x^2+6*x+13)*exp(4)+x^2+6*x+9)/(exp(4)*exp(x)^2+(2*x+6)*exp(4)*exp(x)+(x^2+6*x+9)*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{4} {\mathrm e}^{-4} x -x \,{\mathrm e}^{-4} {\mathrm e}^{9}+x \,{\mathrm e}^{-4}-\frac{4}{{\mathrm e}^{x}+3+x}$&$28$\\ norman&$\frac{3 \,{\mathrm e}^{-4} \left({\mathrm e}^{4} {\mathrm e}^{5}-{\mathrm e}^{4}-1\right) {\mathrm e}^{x}-{\mathrm e}^{-4} \left({\mathrm e}^{4} {\mathrm e}^{5}-{\mathrm e}^{4}-1\right) x^{2}-{\mathrm e}^{-4} \left({\mathrm e}^{4} {\mathrm e}^{5}-{\mathrm e}^{4}-1\right) x \,{\mathrm e}^{x}+{\mathrm e}^{-4} \left(9 \,{\mathrm e}^{4} {\mathrm e}^{5}-13 \,{\mathrm e}^{4}-9\right)}{{\mathrm e}^{x}+3+x}$&$86$\\ \hline \end{longtable}"," ",0,"exp(4)*exp(-4)*x-x*exp(-4)*exp(9)+x*exp(-4)-4/(exp(x)+3+x)","A"
5678,1,19,23,0.072000," ","int(1/3*((4*x^4+8*x^3-8*x^2)*exp(x)-24*x^3+16*x^2+4)*exp((-x^3+x^2)*exp(x)+2*x^3-2*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \,{\mathrm e}^{-x^{2} \left(x -1\right) \left({\mathrm e}^{x}-2\right)}}{3 x}$&$19$\\ norman&$-\frac{4 \,{\mathrm e}^{\left(-x^{3}+x^{2}\right) {\mathrm e}^{x}+2 x^{3}-2 x^{2}}}{3 x}$&$30$\\ \hline \end{longtable}"," ",0,"-4/3*exp(-x^2*(x-1)*(exp(x)-2))/x","A"
5679,1,17,16,0.246000," ","int(((5+x)*ln(5+x)*ln(ln(5+x))+(4*x^2+19*x-5)*ln(5+x)+x)/(5+x)/ln(5+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +2 x^{2}+\ln \left(\ln \left(5+x \right)\right) x$&$17$\\ norman&$-x +2 x^{2}+\ln \left(\ln \left(5+x \right)\right) x$&$17$\\ risch&$-x +2 x^{2}+\ln \left(\ln \left(5+x \right)\right) x$&$17$\\ \hline \end{longtable}"," ",0,"-x+2*x^2+ln(ln(5+x))*x","A"
5680,1,29,18,0.039000," ","int((16*exp(1)^2+16*x^2+32*x+88)*exp(x)^2+16*x+8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(8 \,{\mathrm e}^{2}+8 x^{2}+8 x +40\right) {\mathrm e}^{2 x}+8 x^{2}+8 x$&$29$\\ norman&$\left(40+8 \,{\mathrm e}^{2}\right) {\mathrm e}^{2 x}+8 x +8 x^{2}+8 x \,{\mathrm e}^{2 x}+8 \,{\mathrm e}^{2 x} x^{2}$&$39$\\ default&$8 x +40 \,{\mathrm e}^{2 x}+8 x \,{\mathrm e}^{2 x}+8 \,{\mathrm e}^{2 x} x^{2}+8 \,{\mathrm e}^{2} {\mathrm e}^{2 x}+8 x^{2}$&$42$\\ \hline \end{longtable}"," ",0,"(8*exp(2)+8*x^2+8*x+40)*exp(2*x)+8*x^2+8*x","A"
5681,1,49,26,0.261000," ","int(((5*x^2-20*x)*ln(x-4)^2+(-x^4-10*x^3+65*x^2)*ln(x-4)+x^5+5*x^4-45*x^3)/(8*x^4+88*x^3+120*x^2-1400*x-4000)/exp(4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{{\mathrm e}^{-4} x^{4}}{16}+\frac{x^{2} {\mathrm e}^{-4} \ln \left(x -4\right)^{2}}{16}-\frac{{\mathrm e}^{-4} x^{3} \ln \left(x -4\right)}{8}\right) {\mathrm e}^{-4}}{\left(5+x \right)^{2}}$&$49$\\ risch&$\frac{{\mathrm e}^{-8} x^{2} \ln \left(x -4\right)^{2}}{16 x^{2}+160 x +400}-\frac{{\mathrm e}^{-8} \left(x^{3}+10 x^{2}+100 x +250\right) \ln \left(x -4\right)}{8 \left(x^{2}+10 x +25\right)}+\frac{{\mathrm e}^{-8} \left(x^{4}+20 x^{2} \ln \left(x -4\right)+200 x \ln \left(x -4\right)-75 x^{2}+500 \ln \left(x -4\right)-750 x -1875\right)}{16 x^{2}+160 x +400}$&$105$\\ \hline \end{longtable}"," ",0,"(1/16/exp(4)*x^4+1/16*x^2/exp(4)*ln(x-4)^2-1/8/exp(4)*x^3*ln(x-4))/(5+x)^2/exp(4)","A"
5682,1,11,20,0.030000," ","int(exp(x-16)-8*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x^{2}+{\mathrm e}^{x -16}$&$11$\\ norman&$-4 x^{2}+{\mathrm e}^{x -16}$&$11$\\ risch&$-4 x^{2}+{\mathrm e}^{x -16}$&$11$\\ derivativedivides&$-4 \left(x -16\right)^{2}-128 x +2048+{\mathrm e}^{x -16}$&$17$\\ \hline \end{longtable}"," ",0,"-4*x^2+exp(x-16)","A"
5683,1,27,23,0.131000," ","int(1/2*((3*x^2*exp(3)+4*x^3)*ln(1/12*(exp(4)-1)/x)-x^2*exp(3)-x^3)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{3} {\mathrm e}^{3}+x^{4}\right) \ln \left(\frac{{\mathrm e}^{4}-1}{12 x}\right)}{2 \ln \left(2\right)}$&$27$\\ norman&$\frac{x^{4} \ln \left(\frac{{\mathrm e}^{4}-1}{12 x}\right)}{2 \ln \left(2\right)}+\frac{{\mathrm e}^{3} x^{3} \ln \left(\frac{{\mathrm e}^{4}-1}{12 x}\right)}{2 \ln \left(2\right)}$&$42$\\ derivativedivides&$-\frac{\left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right) \left(\frac{{\mathrm e}^{3} {\mathrm e}^{8} \left(-\frac{x^{3} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{3 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}-\frac{x^{3}}{9 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}\right)}{48}+\frac{{\mathrm e}^{12} \left(-\frac{x^{4} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{4 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}-\frac{x^{4}}{16 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}\right)}{432}+\frac{{\mathrm e}^{3} {\mathrm e}^{8} x^{3}}{432 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}+\frac{{\mathrm e}^{12} x^{4}}{6912 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}-\frac{{\mathrm e}^{8} \left(-\frac{x^{4} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{4 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}-\frac{x^{4}}{16 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}\right)}{144}-\frac{{\mathrm e}^{8} x^{4}}{2304 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}-\frac{{\mathrm e}^{3} {\mathrm e}^{4} \left(-\frac{x^{3} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{3 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}-\frac{x^{3}}{9 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}\right)}{24}-\frac{{\mathrm e}^{3} {\mathrm e}^{4} x^{3}}{216 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}+\frac{{\mathrm e}^{4} \left(-\frac{x^{4} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{4 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}-\frac{x^{4}}{16 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}\right)}{144}+\frac{{\mathrm e}^{4} x^{4}}{2304 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}+\frac{{\mathrm e}^{3} \left(-\frac{x^{3} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{3 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}-\frac{x^{3}}{9 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}\right)}{48}+\frac{{\mathrm e}^{3} x^{3}}{432 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}+\frac{x^{4} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{1728 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}\right)}{2 \ln \left(2\right)}$&$400$\\ default&$\frac{-\frac{{\mathrm e}^{4} x^{4} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{5184 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}-\frac{{\mathrm e}^{3} x^{3} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{1728 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}+\frac{{\mathrm e}^{12} {\mathrm e}^{3} x^{3}}{5184 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}+\frac{{\mathrm e}^{16} x^{4} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{20736 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}-\frac{{\mathrm e}^{12} x^{4} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{5184 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}+\frac{{\mathrm e}^{8} x^{4} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{3456 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}+\frac{{\mathrm e}^{3} {\mathrm e}^{4} x^{3}}{1728 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}-\frac{{\mathrm e}^{3} {\mathrm e}^{8} x^{3}}{1728 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}-\frac{{\mathrm e}^{8} {\mathrm e}^{3} x^{3} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{576 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}+\frac{{\mathrm e}^{4} {\mathrm e}^{3} x^{3} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{576 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}+\frac{{\mathrm e}^{12} {\mathrm e}^{3} x^{3} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{1728 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}+\frac{x^{4}}{82944 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}-\frac{{\mathrm e}^{4} x^{4}}{20736 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}-\frac{{\mathrm e}^{3} x^{3}}{5184 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{3}}+\frac{{\mathrm e}^{16} x^{4}}{82944 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}+\frac{x^{4} \ln \left(\frac{\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}}{x}\right)}{20736 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}-\frac{{\mathrm e}^{12} x^{4}}{20736 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}+\frac{{\mathrm e}^{8} x^{4}}{13824 \left(\frac{{\mathrm e}^{4}}{12}-\frac{1}{12}\right)^{4}}-\frac{x^{4}}{4}-\frac{x^{3} {\mathrm e}^{3}}{3}}{2 \ln \left(2\right)}$&$417$\\ \hline \end{longtable}"," ",0,"1/2/ln(2)*(x^3*exp(3)+x^4)*ln(1/12*(exp(4)-1)/x)","A"
5684,1,24,19,0.034000," ","int(1/2*(-8*x^2-2)*exp(x^2)^2-3/2*exp(18)-3*x-6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-6 x -\frac{3 x^{2}}{2}-x \,{\mathrm e}^{2 x^{2}}-\frac{3 \,{\mathrm e}^{18} x}{2}$&$24$\\ norman&$\left(-\frac{3 \,{\mathrm e}^{18}}{2}-6\right) x -\frac{3 x^{2}}{2}-x \,{\mathrm e}^{2 x^{2}}$&$24$\\ risch&$-6 x -\frac{3 x^{2}}{2}-x \,{\mathrm e}^{2 x^{2}}-\frac{3 \,{\mathrm e}^{18} x}{2}$&$24$\\ \hline \end{longtable}"," ",0,"-6*x-3/2*x^2-x*exp(x^2)^2-3/2*exp(18)*x","A"
5685,1,15,20,0.024000," ","int(8*x^3+18*x^2-2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{2} \left(2 x^{2}+6 x -1\right)$&$15$\\ default&$2 x^{4}+6 x^{3}-x^{2}$&$17$\\ norman&$2 x^{4}+6 x^{3}-x^{2}$&$17$\\ risch&$2 x^{4}+6 x^{3}-x^{2}$&$17$\\ \hline \end{longtable}"," ",0,"x^2*(2*x^2+6*x-1)","A"
5686,1,30,26,0.057000," ","int((40*x^2*exp(5*x^2)^2+(-80*exp(x)*x-200*x^4+80*x^3-40*x^2)*exp(5*x^2)+40*exp(x)^2+(-60*x^2+20*x)*exp(x)+40*x^4-60*x^3)/(x^5*exp(5*x^2)^2+(-2*exp(x)*x^4+2*x^6)*exp(5*x^2)+exp(x)^2*x^3-2*x^5*exp(x)+x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{20}{x^{2}}+\frac{20}{x \left(x^{2}+x \,{\mathrm e}^{5 x^{2}}-{\mathrm e}^{x}\right)}$&$30$\\ \hline \end{longtable}"," ",0,"-20/x^2+20/x/(x^2+x*exp(5*x^2)-exp(x))","A"
5687,1,16,15,0.031000," ","int(((-5*x+10)*ln(2)-5*x)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-5 \,{\mathrm e}^{x} \left(x \ln \left(2\right)-3 \ln \left(2\right)+x -1\right)$&$16$\\ risch&$\left(-5 x \ln \left(2\right)+15 \ln \left(2\right)-5 x +5\right) {\mathrm e}^{x}$&$18$\\ norman&$\left(5+15 \ln \left(2\right)\right) {\mathrm e}^{x}+\left(-5 \ln \left(2\right)-5\right) x \,{\mathrm e}^{x}$&$21$\\ default&$-5 \,{\mathrm e}^{x} x +5 \,{\mathrm e}^{x}+15 \,{\mathrm e}^{x} \ln \left(2\right)-5 x \ln \left(2\right) {\mathrm e}^{x}$&$24$\\ meijerg&$-\left(5+5 \ln \left(2\right)\right) \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)-10 \left(1-{\mathrm e}^{x}\right) \ln \left(2\right)$&$31$\\ \hline \end{longtable}"," ",0,"-5*exp(x)*(x*ln(2)-3*ln(2)+x-1)","A"
5688,1,65,27,0.095000," ","int(1/4*(((16*x^8+96*x^7+32*x^6-352*x^5-1760*x^3-800*x^2+12000*x-10000)*exp((x^8+8*x^7+4*x^6-88*x^5-71*x^4+440*x^3+100*x^2-1000*x+625)/x^4)+8*x^6+4*x^5)*ln(x)^2+(x^5*exp((x^8+8*x^7+4*x^6-88*x^5-71*x^4+440*x^3+100*x^2-1000*x+625)/x^4)+x^7+x^6)*ln(x)-x^5*exp((x^8+8*x^7+4*x^6-88*x^5-71*x^4+440*x^3+100*x^2-1000*x+625)/x^4)-x^7-x^6)*exp(1/4*x/ln(x))/x^5/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(4 x^{2}+4 x +4 \,{\mathrm e}^{\frac{x^{8}+8 x^{7}+4 x^{6}-88 x^{5}-71 x^{4}+440 x^{3}+100 x^{2}-1000 x +625}{x^{4}}}\right) {\mathrm e}^{\frac{x}{4 \ln \left(x \right)}}}{4}$&$65$\\ \hline \end{longtable}"," ",0,"1/4*(4*x^2+4*x+4*exp((x^8+8*x^7+4*x^6-88*x^5-71*x^4+440*x^3+100*x^2-1000*x+625)/x^4))*exp(1/4*x/ln(x))","B"
5689,1,22,21,0.135000," ","int((12*ln(5)-30*x^6-24*x^2)/(4*ln(5)^2+(4*x^6+16*x^2-8*x)*ln(5)+x^12+8*x^8-4*x^7+16*x^4-16*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{6 x}{x^{6}+4 x^{2}+2 \ln \left(5\right)-2 x}$&$22$\\ default&$\frac{3 x}{\frac{x^{6}}{2}+2 x^{2}+\ln \left(5\right)-x}$&$22$\\ norman&$\frac{6 x}{x^{6}+4 x^{2}+2 \ln \left(5\right)-2 x}$&$22$\\ risch&$\frac{3 x}{\frac{x^{6}}{2}+2 x^{2}+\ln \left(5\right)-x}$&$22$\\ \hline \end{longtable}"," ",0,"6*x/(x^6+4*x^2+2*ln(5)-2*x)","A"
5690,1,19,20,0.033000," ","int(((6*x^3-6*x)*ln(x)+x^3-5*x^2-3*x+3)/((x^4-3*x^2)*ln(x)-x^3+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)+2 \ln \left(x^{2}-3\right)+\ln \left(x \ln \left(x \right)-1\right)$&$19$\\ risch&$2 \ln \left(x^{3}-3 x \right)+\ln \left(\ln \left(x \right)-\frac{1}{x}\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(x)+2*ln(x^2-3)+ln(x*ln(x)-1)","A"
5691,1,23,22,0.048000," ","int(1/4*(-24*exp(1/5*(2*x+15)/x)^2*exp(exp(1/5*(2*x+15)/x)^2-1)+3*x^2+9*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x}{4}+\frac{9 \ln \left(x \right)}{4}+{\mathrm e}^{{\mathrm e}^{\frac{\frac{4 x}{5}+6}{x}}-1}$&$23$\\ default&$\frac{3 x}{4}+\frac{9 \ln \left(x \right)}{4}+{\mathrm e}^{{\mathrm e}^{\frac{4}{5}} {\mathrm e}^{\frac{6}{x}}} {\mathrm e}^{-1}$&$24$\\ norman&$\frac{x \,{\mathrm e}^{{\mathrm e}^{\frac{\frac{4 x}{5}+6}{x}}-1}+\frac{3 x^{2}}{4}}{x}+\frac{9 \ln \left(x \right)}{4}$&$34$\\ \hline \end{longtable}"," ",0,"3/4*x+9/4*ln(x)+exp(exp(2/5*(2*x+15)/x)-1)","A"
5692,1,86,31,10.235000," ","int(((3*x-4)*exp(ln(x-4)-2)^2+(6*x^2-16*x)*exp(ln(x-4)-2)+3*x^3-14*x^2+8*x)*exp((-x*exp(ln(x-4)-2)^2-2*x^2*exp(ln(x-4)-2)-x^3+x^2)/(x*exp(ln(x-4)-2)^2+2*x^2*exp(ln(x-4)-2)+x^3-x^2+1))*exp(exp((-x*exp(ln(x-4)-2)^2-2*x^2*exp(ln(x-4)-2)-x^3+x^2)/(x*exp(ln(x-4)-2)^2+2*x^2*exp(ln(x-4)-2)+x^3-x^2+1)))/((x^3-4*x^2)*exp(ln(x-4)-2)^4+(4*x^4-16*x^3)*exp(ln(x-4)-2)^3+(6*x^5-26*x^4+8*x^3+2*x^2-8*x)*exp(ln(x-4)-2)^2+(4*x^6-20*x^5+16*x^4+4*x^3-16*x^2)*exp(ln(x-4)-2)+x^7-6*x^6+9*x^5-2*x^4-10*x^3+8*x^2+x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{{\mathrm e}^{-\frac{x \left({\mathrm e}^{-4} x^{2}+2 x^{2} {\mathrm e}^{-2}-8 x \,{\mathrm e}^{-4}-8 \,{\mathrm e}^{-2} x +x^{2}+16 \,{\mathrm e}^{-4}-x \right)}{{\mathrm e}^{-4} x^{3}+2 x^{3} {\mathrm e}^{-2}-8 \,{\mathrm e}^{-4} x^{2}-8 x^{2} {\mathrm e}^{-2}+x^{3}+16 x \,{\mathrm e}^{-4}-x^{2}+1}}}$&$86$\\ norman&$\frac{\left(\left({\mathrm e}^{4}+8 \,{\mathrm e}^{2}+8\right) {\mathrm e}^{4} {\mathrm e}^{-2} x^{2} {\mathrm e}^{{\mathrm e}^{\frac{-x \left(x -4\right)^{2} {\mathrm e}^{-4}-2 x^{2} \left(x -4\right) {\mathrm e}^{-2}-x^{3}+x^{2}}{x \left(x -4\right)^{2} {\mathrm e}^{-4}+2 x^{2} \left(x -4\right) {\mathrm e}^{-2}+x^{3}-x^{2}+1}}}-{\mathrm e}^{2} {\mathrm e}^{4} {\mathrm e}^{{\mathrm e}^{\frac{-x \left(x -4\right)^{2} {\mathrm e}^{-4}-2 x^{2} \left(x -4\right) {\mathrm e}^{-2}-x^{3}+x^{2}}{x \left(x -4\right)^{2} {\mathrm e}^{-4}+2 x^{2} \left(x -4\right) {\mathrm e}^{-2}+x^{3}-x^{2}+1}}}-16 \,{\mathrm e}^{-2} {\mathrm e}^{4} x \,{\mathrm e}^{{\mathrm e}^{\frac{-x \left(x -4\right)^{2} {\mathrm e}^{-4}-2 x^{2} \left(x -4\right) {\mathrm e}^{-2}-x^{3}+x^{2}}{x \left(x -4\right)^{2} {\mathrm e}^{-4}+2 x^{2} \left(x -4\right) {\mathrm e}^{-2}+x^{3}-x^{2}+1}}}-{\mathrm e}^{-2} \left(1+{\mathrm e}^{4}+2 \,{\mathrm e}^{2}\right) {\mathrm e}^{4} x^{3} {\mathrm e}^{{\mathrm e}^{\frac{-x \left(x -4\right)^{2} {\mathrm e}^{-4}-2 x^{2} \left(x -4\right) {\mathrm e}^{-2}-x^{3}+x^{2}}{x \left(x -4\right)^{2} {\mathrm e}^{-4}+2 x^{2} \left(x -4\right) {\mathrm e}^{-2}+x^{3}-x^{2}+1}}}\right) {\mathrm e}^{-2}}{x^{3} {\mathrm e}^{4}-x^{2} {\mathrm e}^{4}+2 x^{3} {\mathrm e}^{2}-8 x^{2} {\mathrm e}^{2}+x^{3}+{\mathrm e}^{4}-8 x^{2}+16 x}$&$388$\\ \hline \end{longtable}"," ",0,"-exp(exp(-x*(exp(-4)*x^2+2*x^2*exp(-2)-8*x*exp(-4)-8*exp(-2)*x+x^2+16*exp(-4)-x)/(exp(-4)*x^3+2*x^3*exp(-2)-8*exp(-4)*x^2-8*x^2*exp(-2)+x^3+16*x*exp(-4)-x^2+1)))","B"
5693,1,20,26,0.080000," ","int(((48*exp(x)^2+24*x+12)*exp(ln(exp(x)^2+x)+2*x)-exp(3)*exp(x)^2-x*exp(3))/(exp(x)^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$12 \,{\mathrm e}^{4 x}-x \,{\mathrm e}^{3}+12 x \,{\mathrm e}^{2 x}$&$20$\\ risch&$12 \,{\mathrm e}^{4 x}-x \,{\mathrm e}^{3}+12 x \,{\mathrm e}^{2 x}$&$20$\\ \hline \end{longtable}"," ",0,"12*exp(x)^4-x*exp(3)+12*x*exp(x)^2","A"
5694,1,77,23,0.323000," ","int((((2*x^2-10*x)*exp(x)*ln(x-5)+2*exp(x)*x)*ln(x^2)+(-2*x^2+10*x)*ln(x)+(4*x-20)*exp(x)*ln(x-5))/(x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}+4 \,{\mathrm e}^{x} \ln \left(x \right)\right) \ln \left(x -5\right)-2 x \ln \left(x \right)+2 x$&$77$\\ \hline \end{longtable}"," ",0,"(-I*Pi*csgn(I*x)^2*csgn(I*x^2)*exp(x)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2*exp(x)-I*Pi*csgn(I*x^2)^3*exp(x)+4*exp(x)*ln(x))*ln(x-5)-2*x*ln(x)+2*x","C"
5695,1,17,16,0.055000," ","int(((ln(x)^2+4*x*ln(x)-2*x)*exp((x*ln(x)+2*x^2)/ln(x))+exp(x)*ln(x)^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \left(2 x +\ln \left(x \right)\right)}{\ln \left(x \right)}}+{\mathrm e}^{x}$&$17$\\ default&${\mathrm e}^{\frac{x \ln \left(x \right)+2 x^{2}}{\ln \left(x \right)}}+{\mathrm e}^{x}$&$20$\\ \hline \end{longtable}"," ",0,"exp(x*(2*x+ln(x))/ln(x))+exp(x)","A"
5696,1,201,26,0.122000," ","int(((4*x^3-16*x)*ln(x)+(-x^3+4*x)*ln(1/(x^3-4*x^2+4*x))+7*x^2-14*x+8)/((4*x^3-8*x^2)*ln(x)+(-x^3+2*x^2)*ln(1/(x^3-4*x^2+4*x))-4*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right)+x +\ln \left(\ln \left(x -2\right)-\frac{i \left(\pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\left(x -2\right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{x \left(x -2\right)^{2}}\right)^{2}-\pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\left(x -2\right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{x \left(x -2\right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{x}\right)+\pi  \,x^{2} \mathrm{csgn}\left(i \left(x -2\right)\right)^{2} \mathrm{csgn}\left(i \left(x -2\right)^{2}\right)-2 \pi  \,x^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(i \left(x -2\right)^{2}\right)^{2}+\pi  \,x^{2} \mathrm{csgn}\left(i \left(x -2\right)^{2}\right)^{3}-\pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x \left(x -2\right)^{2}}\right)^{3}+\pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x \left(x -2\right)^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+10 i x^{2} \ln \left(x \right)-8 i\right)}{4 x^{2}}\right)$&$201$\\ \hline \end{longtable}"," ",0,"2*ln(x)+x+ln(ln(x-2)-1/4*I*(Pi*x^2*csgn(I/(x-2)^2)*csgn(I/x/(x-2)^2)^2-Pi*x^2*csgn(I/(x-2)^2)*csgn(I/x/(x-2)^2)*csgn(I/x)+Pi*x^2*csgn(I*(x-2))^2*csgn(I*(x-2)^2)-2*Pi*x^2*csgn(I*(x-2))*csgn(I*(x-2)^2)^2+Pi*x^2*csgn(I*(x-2)^2)^3-Pi*x^2*csgn(I/x/(x-2)^2)^3+Pi*x^2*csgn(I/x/(x-2)^2)^2*csgn(I/x)+10*I*x^2*ln(x)-8*I)/x^2)","C"
5697,1,23,21,0.092000," ","int(((x^2-8*x+56)*exp(x)^2+(-11*x^3+89*x^2-584*x+16)*exp(x)+25*x^4-200*x^3+1400*x^2)/((x^2-8*x+16)*exp(x)^2+(-10*x^3+80*x^2-160*x)*exp(x)+25*x^4-200*x^3+400*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{40}{x -4}-\frac{x}{5 x -{\mathrm e}^{x}}$&$23$\\ norman&$\frac{-276 x -x^{2}+56 \,{\mathrm e}^{x}+5 x^{3}-{\mathrm e}^{x} x^{2}}{5 x^{2}-{\mathrm e}^{x} x -20 x +4 \,{\mathrm e}^{x}}$&$47$\\ \hline \end{longtable}"," ",0,"x-40/(x-4)-x/(5*x-exp(x))","A"
5698,1,32,23,0.041000," ","int(((-5*x+5)*ln(x)^2+(10*x^3-10*x^2+80*x-80)*ln(x)-5*x^5+5*x^4-80*x^3+170*x^2-320*x+275)/(exp(x)*ln(x)^2+(-2*x^2-16)*exp(x)*ln(x)+(x^4+16*x^2+64)*exp(x))/exp(-9/(ln(x)-x^2-8)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x \,{\mathrm e}^{-\frac{-x^{3}+x \ln \left(x \right)-8 x -9}{\ln \left(x \right)-x^{2}-8}}$&$32$\\ \hline \end{longtable}"," ",0,"5*x*exp(-(-x^3+x*ln(x)-8*x-9)/(ln(x)-x^2-8))","A"
5699,1,42,20,0.106000," ","int(((x+10)*ln(48*x)-x*ln(x)+(x+10)*exp(2)+10)/(x^2*ln(48*x)^2+2*x^2*exp(2)*ln(48*x)+x^2*exp(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{20+2 \,{\mathrm e}^{2} x +2 x \ln \left(3\right)+8 x \ln \left(2\right)}{x \left(2 \,{\mathrm e}^{2}+2 \ln \left(3\right)+8 \ln \left(2\right)+2 \ln \left(x \right)\right)}$&$42$\\ \hline \end{longtable}"," ",0,"-1/x*(20+2*exp(2)*x+2*x*ln(3)+8*x*ln(2))/(2*exp(2)+2*ln(3)+8*ln(2)+2*ln(x))","B"
5700,1,54,23,0.306000," ","int(((-6*exp(2)^2+(6*x-6)*exp(2))*exp(x)^2+((6*x-146)*exp(2)^2+(-6*x^2+160*x-302)*exp(2)-2*x^2+2*x)*exp(x)+(-6*x+152)*exp(2)^2+(148*x-3800)*exp(2)+50*x)/(exp(2)^2*exp(x)^3+(-3*x+75)*exp(2)^2*exp(x)^2+(3*x^2-150*x+1875)*exp(2)^2*exp(x)+(-x^3+75*x^2-1875*x+15625)*exp(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(6 x \,{\mathrm e}^{4}-6 \,{\mathrm e}^{4+x}-6 x^{2} {\mathrm e}^{2}+6 x \,{\mathrm e}^{2+x}-151 \,{\mathrm e}^{4}+152 \,{\mathrm e}^{2} x -x^{2}\right) {\mathrm e}^{-4}}{\left(x -{\mathrm e}^{x}-25\right)^{2}}$&$54$\\ norman&$\frac{\left(-2 \left(3 \,{\mathrm e}^{4}-74 \,{\mathrm e}^{2}-25\right) {\mathrm e}^{-2} x -\left(6 \,{\mathrm e}^{2}+1\right) {\mathrm e}^{-2} {\mathrm e}^{2 x}+2 \left(3 \,{\mathrm e}^{4}-150 \,{\mathrm e}^{2}-25\right) {\mathrm e}^{-2} {\mathrm e}^{x}+2 \left(3 \,{\mathrm e}^{2}+1\right) {\mathrm e}^{-2} x \,{\mathrm e}^{x}+\left(151 \,{\mathrm e}^{4}-3750 \,{\mathrm e}^{2}-625\right) {\mathrm e}^{-2}\right) {\mathrm e}^{-2}}{\left(x -{\mathrm e}^{x}-25\right)^{2}}$&$103$\\ \hline \end{longtable}"," ",0,"-(6*x*exp(4)-6*exp(4+x)-6*x^2*exp(2)+6*x*exp(2+x)-151*exp(4)+152*exp(2)*x-x^2)/(x-exp(x)-25)^2*exp(-4)","B"
5701,1,37,28,0.040000," ","int((8*x^3+12*x^2+8*x)*exp(x^2+3*x+4)+(-4*x^3-12*x^2+4)*exp(x)+24*x^2+8*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 \,{\mathrm e}^{x} x^{3}+4 \,{\mathrm e}^{x}+4 \,{\mathrm e}^{x^{2}+3 x +4} x^{2}+4 x^{2}+8 x^{3}$&$37$\\ norman&$-4 \,{\mathrm e}^{x} x^{3}+4 \,{\mathrm e}^{x}+4 \,{\mathrm e}^{x^{2}+3 x +4} x^{2}+4 x^{2}+8 x^{3}$&$37$\\ risch&$-4 \,{\mathrm e}^{x} x^{3}+4 \,{\mathrm e}^{x}+4 \,{\mathrm e}^{x^{2}+3 x +4} x^{2}+4 x^{2}+8 x^{3}$&$37$\\ \hline \end{longtable}"," ",0,"-4*exp(x)*x^3+4*exp(x)+4*exp(x^2+3*x+4)*x^2+4*x^2+8*x^3","A"
5702,1,23,25,0.283000," ","int(((-120*ln(2)+12*x)*exp(3*x)+(10*ln(2)-x)*exp(1/2+1/4*x)+4)/(40*ln(2)-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x -10 \ln \left(2\right)\right)-{\mathrm e}^{3 x}+{\mathrm e}^{\frac{1}{2}+\frac{x}{4}}$&$23$\\ default&$-\ln \left(10 \ln \left(2\right)-x \right)-{\mathrm e}^{3 x}+{\mathrm e}^{\frac{1}{2}} {\mathrm e}^{\frac{x}{4}}$&$26$\\ norman&${\mathrm e}^{\frac{1}{2}} {\mathrm e}^{\frac{x}{4}}-{\mathrm e}^{3 x}-\ln \left(40 \ln \left(2\right)-4 x \right)$&$28$\\ \hline \end{longtable}"," ",0,"-ln(x-10*ln(2))-exp(3*x)+exp(1/2+1/4*x)","A"
5703,1,95,22,0.327000," ","int(((3*(4+x)*ln(2)*ln(x)+3*(6*x^2+28*x+16)*ln(2))*ln((4+x)*exp(x+1))+3*(x^2+5*x)*ln(2)*ln(x)+3*(3*x^3+18*x^2+15*x)*ln(2))*exp((3*x*ln(2)*ln(x)+3*(3*x^2+3*x)*ln(2))*ln((4+x)*exp(x+1)))/(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2^{-\frac{3 x \left(3 x +3+\ln \left(x \right)\right) \left(i \mathrm{csgn}\left(i {\mathrm e}^{x +1} \left(4+x \right)\right) \pi -i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x +1}\right)-i \pi  \,\mathrm{csgn}\left(i \left(4+x \right)\right)+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x +1} \left(4+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x +1}\right) \mathrm{csgn}\left(i \left(4+x \right)\right)-2 \ln \left({\mathrm e}^{x +1}\right)-2 \ln \left(4+x \right)\right)}{2}}$&$95$\\ \hline \end{longtable}"," ",0,"2^(-3/2*x*(3*x+3+ln(x))*(I*csgn(I*exp(x+1)*(4+x))*Pi-I*Pi*csgn(I*exp(x+1))-I*Pi*csgn(I*(4+x))+I*Pi*csgn(I*exp(x+1)*(4+x))*csgn(I*exp(x+1))*csgn(I*(4+x))-2*ln(exp(x+1))-2*ln(4+x)))","C"
5704,1,18,26,0.054000," ","int((-x*exp(ln(x)-3)+2*x^3-2*x^2+5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-3} x +x^{2}-2 x -\frac{5}{x}$&$18$\\ default&$x^{2}-2 x -\frac{5}{x}-{\mathrm e}^{\ln \left(x \right)-3}$&$20$\\ norman&$\frac{-5+x^{3}-{\mathrm e}^{-3} \left(2 \,{\mathrm e}^{3}+1\right) x^{2}}{x}$&$25$\\ \hline \end{longtable}"," ",0,"-exp(-3)*x+x^2-2*x-5/x","A"
5705,1,44,24,0.093000," ","int(((48*x-48)*exp(x)^5-144*x^2*exp(x)^4+(12*x^2+40*x+32)*exp(x)^3+(-24*x^3-96*x^2-96*x)*exp(x)^2-x^4-8*x^3-24*x^2-32*x-16)/(144*x^2*exp(x)^4+(24*x^3+96*x^2+96*x)*exp(x)^2+x^4+8*x^3+24*x^2+32*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{{\mathrm e}^{x}}{3 x}-\frac{\left(x^{2}+4 x +4\right) {\mathrm e}^{x}}{3 x \left(12 x \,{\mathrm e}^{2 x}+x^{2}+4 x +4\right)}$&$44$\\ norman&$\frac{12 x +48 x \,{\mathrm e}^{2 x}-x^{3}+4 \,{\mathrm e}^{3 x}-12 \,{\mathrm e}^{2 x} x^{2}+16}{12 x \,{\mathrm e}^{2 x}+x^{2}+4 x +4}$&$51$\\ \hline \end{longtable}"," ",0,"-x+1/3*exp(x)/x-1/3*(x^2+4*x+4)/x*exp(x)/(12*x*exp(2*x)+x^2+4*x+4)","A"
5706,1,21,23,0.164000," ","int((2*exp(exp(4))*exp(exp(exp(1)))+(-8*x-20)*exp(exp(4)))/((3*x^2+30*x+75)*exp(exp(exp(1)))^2+(-12*x^3-120*x^2-300*x)*exp(exp(exp(1)))+12*x^4+120*x^3+300*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{2 \,{\mathrm e}^{{\mathrm e}^{4}}}{3 \left(5+x \right) \left(-2 x +{\mathrm e}^{{\mathrm e}^{{\mathrm e}}}\right)}$&$21$\\ gosper&$-\frac{2 \,{\mathrm e}^{{\mathrm e}^{4}}}{3 \left({\mathrm e}^{{\mathrm e}^{{\mathrm e}}} x -2 x^{2}+5 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}}}-10 x \right)}$&$29$\\ risch&$-\frac{2 \,{\mathrm e}^{{\mathrm e}^{4}}}{3 \left({\mathrm e}^{{\mathrm e}^{{\mathrm e}}} x -2 x^{2}+5 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}}}-10 x \right)}$&$29$\\ \hline \end{longtable}"," ",0,"-2/3*exp(exp(4))/(5+x)/(-2*x+exp(exp(exp(1))))","A"
5707,1,28,27,0.549000," ","int((2*(-64*x+64)*ln(2)*exp(x)+2*(-16*x^2*exp(4)+64*x^2)*ln(2))*exp(32*x*ln(2)/(4*exp(x)+x^2*exp(4)-4*x^2+20*x))/(16*exp(x)^2+(8*x^2*exp(4)-32*x^2+160*x)*exp(x)+x^4*exp(4)^2+(-8*x^4+40*x^3)*exp(4)+16*x^4-160*x^3+400*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{32 x \ln \left(2\right)}{4 \,{\mathrm e}^{x}+x^{2} {\mathrm e}^{4}-4 x^{2}+20 x}}$&$28$\\ norman&$\frac{\left({\mathrm e}^{4}-4\right) x^{2} {\mathrm e}^{\frac{32 x \ln \left(2\right)}{4 \,{\mathrm e}^{x}+x^{2} {\mathrm e}^{4}-4 x^{2}+20 x}}+20 x \,{\mathrm e}^{\frac{32 x \ln \left(2\right)}{4 \,{\mathrm e}^{x}+x^{2} {\mathrm e}^{4}-4 x^{2}+20 x}}+4 \,{\mathrm e}^{x} {\mathrm e}^{\frac{32 x \ln \left(2\right)}{4 \,{\mathrm e}^{x}+x^{2} {\mathrm e}^{4}-4 x^{2}+20 x}}}{4 \,{\mathrm e}^{x}+x^{2} {\mathrm e}^{4}-4 x^{2}+20 x}$&$120$\\ \hline \end{longtable}"," ",0,"exp(32*x*ln(2)/(4*exp(x)+x^2*exp(4)-4*x^2+20*x))","A"
5708,1,78,21,0.064000," ","int(1/8*((-x^7-36*x^5-432*x^3-1728*x)*exp(2)^3+(12*x^5+288*x^3+1728*x)*exp(2)^2+(-48*x^3-576*x)*exp(2)+64*x)*exp(3)^4/exp(2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{12} {\mathrm e}^{-6} \left({\mathrm e}^{6} \left(-\frac{1}{8} x^{8}-6 x^{6}-108 x^{4}-864 x^{2}\right)+{\mathrm e}^{4} \left(2 x^{6}+72 x^{4}+864 x^{2}\right)+{\mathrm e}^{2} \left(-12 x^{4}-288 x^{2}\right)+32 x^{2}\right)}{8}$&$78$\\ gosper&$-\frac{{\mathrm e}^{12} \left(x^{6} {\mathrm e}^{6}+48 x^{4} {\mathrm e}^{6}-16 x^{4} {\mathrm e}^{4}+864 x^{2} {\mathrm e}^{6}-576 x^{2} {\mathrm e}^{4}+6912 \,{\mathrm e}^{6}+96 x^{2} {\mathrm e}^{2}-6912 \,{\mathrm e}^{4}+2304 \,{\mathrm e}^{2}-256\right) x^{2} {\mathrm e}^{-6}}{64}$&$83$\\ risch&$-\frac{x^{8} {\mathrm e}^{12}}{64}+\frac{{\mathrm e}^{6} x^{6} {\mathrm e}^{4}}{4}-\frac{3 \,{\mathrm e}^{12} x^{6}}{4}-\frac{3 \,{\mathrm e}^{6} x^{4} {\mathrm e}^{2}}{2}+9 \,{\mathrm e}^{6} x^{4} {\mathrm e}^{4}-\frac{27 x^{4} {\mathrm e}^{12}}{2}-36 \,{\mathrm e}^{6} x^{2} {\mathrm e}^{2}+108 \,{\mathrm e}^{6} x^{2} {\mathrm e}^{4}-108 x^{2} {\mathrm e}^{12}+4 x^{2} {\mathrm e}^{6}$&$88$\\ norman&$\left(-\frac{3 \,{\mathrm e}^{12} \left(9 \,{\mathrm e}^{4}-6 \,{\mathrm e}^{2}+1\right) x^{4}}{2}-\frac{{\mathrm e}^{12} {\mathrm e}^{4} x^{8}}{64}-\frac{{\mathrm e}^{2} {\mathrm e}^{12} \left(3 \,{\mathrm e}^{2}-1\right) x^{6}}{4}-4 \,{\mathrm e}^{12} \left(27 \,{\mathrm e}^{6}-27 \,{\mathrm e}^{4}+9 \,{\mathrm e}^{2}-1\right) {\mathrm e}^{-2} x^{2}\right) {\mathrm e}^{-4}$&$89$\\ \hline \end{longtable}"," ",0,"1/8*exp(3)^4/exp(2)^3*(exp(2)^3*(-1/8*x^8-6*x^6-108*x^4-864*x^2)+exp(2)^2*(2*x^6+72*x^4+864*x^2)+exp(2)*(-12*x^4-288*x^2)+32*x^2)","B"
5709,1,52,30,0.104000," ","int(((75*x^2*ln(x)^2-200*x*ln(x)-200*x)*exp((4*x*ln(x)+4)/x/ln(x))^2+(60*x^2*ln(x)^2-80*x*ln(x)-80*x)*exp((4*x*ln(x)+4)/x/ln(x))+(12*x^2+3)*ln(x)^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x +20 x^{3} {\mathrm e}^{\frac{4 x \ln \left(x \right)+4}{x \ln \left(x \right)}}+25 x^{3} {\mathrm e}^{\frac{8 x \ln \left(x \right)+8}{x \ln \left(x \right)}}+4 x^{3}$&$52$\\ risch&$3 x +20 x^{3} {\mathrm e}^{\frac{4 x \ln \left(x \right)+4}{x \ln \left(x \right)}}+25 x^{3} {\mathrm e}^{\frac{8 x \ln \left(x \right)+8}{x \ln \left(x \right)}}+4 x^{3}$&$52$\\ \hline \end{longtable}"," ",0,"3*x+20*x^3*exp(4*(x*ln(x)+1)/ln(x)/x)+25*x^3*exp(8*(x*ln(x)+1)/ln(x)/x)+4*x^3","A"
5710,1,20,15,0.193000," ","int((-x^2+x-4)*exp((exp(2)*x-x^2+4)/x)*exp(x*exp((exp(2)*x-x^2+4)/x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{x \,{\mathrm e}^{\frac{{\mathrm e}^{2} x -x^{2}+4}{x}}}$&$20$\\ risch&${\mathrm e}^{x \,{\mathrm e}^{\frac{{\mathrm e}^{2} x -x^{2}+4}{x}}}$&$20$\\ \hline \end{longtable}"," ",0,"exp(x*exp((exp(2)*x-x^2+4)/x))","A"
5711,1,19,18,0.195000," ","int(((5*x^2+10*x)*exp(1)-5*x^4)*exp(x)*exp(5*x^2*exp(x)/(6*exp(1)-6*x^2))/(6*exp(1)^2-12*x^2*exp(1)+6*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{5 \,{\mathrm e}^{x} x^{2}}{6 \left({\mathrm e}-x^{2}\right)}}$&$19$\\ norman&$\frac{{\mathrm e} \,{\mathrm e}^{\frac{5 x^{2} {\mathrm e}^{x}}{6 \,{\mathrm e}-6 x^{2}}}-x^{2} {\mathrm e}^{\frac{5 x^{2} {\mathrm e}^{x}}{6 \,{\mathrm e}-6 x^{2}}}}{{\mathrm e}-x^{2}}$&$61$\\ \hline \end{longtable}"," ",0,"exp(5/6*exp(x)*x^2/(exp(1)-x^2))","A"
5712,1,10,24,0.023000," ","int(1/4*(24*x^2+9)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$6 x -\frac{9}{4 x}$&$10$\\ risch&$6 x -\frac{9}{4 x}$&$10$\\ norman&$\frac{-\frac{9}{4}+6 x^{2}}{x}$&$12$\\ gosper&$\frac{-\frac{9}{4}+6 x^{2}}{x}$&$13$\\ \hline \end{longtable}"," ",0,"6*x-9/4/x","A"
5713,1,25,20,0.041000," ","int((4*exp(2)*exp(256)*exp(exp(2))-4*exp(2)*exp(256)+4*x*exp(1)*exp(2))/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 x^{2} {\mathrm e}^{2}+4 \,{\mathrm e}^{2} {\mathrm e}^{256} \left({\mathrm e}^{{\mathrm e}^{2}}-1\right) {\mathrm e}^{-1} x$&$25$\\ gosper&$2 \,{\mathrm e}^{2} x \left(x \,{\mathrm e}+2 \,{\mathrm e}^{256} {\mathrm e}^{{\mathrm e}^{2}}-2 \,{\mathrm e}^{256}\right) {\mathrm e}^{-1}$&$26$\\ risch&$4 \,{\mathrm e}^{2} x \,{\mathrm e}^{{\mathrm e}^{2}+255}-4 \,{\mathrm e}^{2} {\mathrm e}^{255} x +2 x^{2} {\mathrm e}^{2}$&$26$\\ default&${\mathrm e}^{-1} \left(4 \,{\mathrm e}^{2} {\mathrm e}^{256} {\mathrm e}^{{\mathrm e}^{2}} x -4 \,{\mathrm e}^{2} {\mathrm e}^{256} x +2 x^{2} {\mathrm e} \,{\mathrm e}^{2}\right)$&$33$\\ \hline \end{longtable}"," ",0,"2*x^2*exp(2)+4*exp(2)*exp(256)*(exp(exp(2))-1)/exp(1)*x","A"
5714,1,4,3,0.017000," ","int(1/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\ln \left(x \right)\right)$&$4$\\ default&$\ln \left(\ln \left(x \right)\right)$&$4$\\ norman&$\ln \left(\ln \left(x \right)\right)$&$4$\\ risch&$\ln \left(\ln \left(x \right)\right)$&$4$\\ \hline \end{longtable}"," ",0,"ln(ln(x))","A"
5715,1,19,19,0.080000," ","int((((-4*x^3-2*x^2)*exp(x)^2+4*x^4+4*x^3)*exp(1/exp(x)^2)+(120*x^3+60*x^2+2*x)*exp(x)^2)/exp(x)^2/exp((x^2+x)*exp(1/exp(x)^2)-30*x^2-30*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{-2 x \left(x +1\right) \left({\mathrm e}^{{\mathrm e}^{-2 x}}-30\right)}$&$19$\\ \hline \end{longtable}"," ",0,"x^2*exp(-2*x*(x+1)*(exp(exp(-2*x))-30))","A"
5716,1,26,24,0.037000," ","int((((8*x^7+70*x^6+150*x^5)*exp(x)+(-8*x^7-70*x^6-150*x^5)*exp(3)-8*x^8-70*x^7-150*x^6)*ln(exp(x)-exp(3)-x)+(-x^8-10*x^7-25*x^6)*exp(x)+x^8+10*x^7+25*x^6)/(exp(x)-exp(3)-x)/ln(exp(x)-exp(3)-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{6} \left(x^{2}+10 x +25\right)}{\ln \left({\mathrm e}^{x}-{\mathrm e}^{3}-x \right)}$&$26$\\ \hline \end{longtable}"," ",0,"x^6*(x^2+10*x+25)/ln(exp(x)-exp(3)-x)","A"
5717,1,25,26,0.037000," ","int((81*x^5-810*x^4+3176*x^3-5904*x^2+4752*x-864)/(81*x^5-810*x^4+3240*x^3-6480*x^2+6480*x-2592),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{5}-\frac{18224}{81} x -\frac{3176}{81} x^{3}+\frac{4160}{27} x^{2}+\frac{9328}{81}}{\left(x -2\right)^{4}}$&$25$\\ default&$x +\frac{64}{81 \left(x -2\right)}+\frac{64}{81 \left(x -2\right)^{3}}-\frac{16}{81 \left(x -2\right)^{4}}-\frac{32}{27 \left(x -2\right)^{2}}$&$31$\\ risch&$x +\frac{\frac{64}{81} x^{3}-\frac{160}{27} x^{2}+\frac{1216}{81} x -\frac{1040}{81}}{x^{4}-8 x^{3}+24 x^{2}-32 x +16}$&$39$\\ gosper&$\frac{81 x^{5}-3176 x^{3}+12480 x^{2}-18224 x +9328}{81 x^{4}-648 x^{3}+1944 x^{2}-2592 x +1296}$&$43$\\ \hline \end{longtable}"," ",0,"(x^5-18224/81*x-3176/81*x^3+4160/27*x^2+9328/81)/(x-2)^4","A"
5718,1,16,20,0.265000," ","int((-92*x*ln(x-3/46)+(-46*x+3)*exp(1))/(46*x^2-3*x)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-1} \ln \left(x -\frac{3}{46}\right)^{2}-\ln \left(x \right)$&$16$\\ norman&$-{\mathrm e}^{-1} \ln \left(x -\frac{3}{46}\right)^{2}-\ln \left(x \right)$&$18$\\ default&${\mathrm e}^{-1} \left(-\ln \left(x -\frac{3}{46}\right)^{2}-{\mathrm e} \ln \left(46 x \right)\right)$&$23$\\ derivativedivides&$2116 \,{\mathrm e}^{-1} \left(-\frac{\ln \left(x -\frac{3}{46}\right)^{2}}{2116}-\frac{{\mathrm e} \ln \left(46 x \right)}{2116}\right)$&$24$\\ \hline \end{longtable}"," ",0,"-exp(-1)*ln(x-3/46)^2-ln(x)","A"
5719,1,12,12,0.040000," ","int(1/3*(3*x^2*ln(ln(2))+5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(\ln \left(2\right)\right)-\frac{5}{3 x}$&$12$\\ risch&$x \ln \left(\ln \left(2\right)\right)-\frac{5}{3 x}$&$12$\\ norman&$\frac{-\frac{5}{3}+x^{2} \ln \left(\ln \left(2\right)\right)}{x}$&$14$\\ gosper&$\frac{3 x^{2} \ln \left(\ln \left(2\right)\right)-5}{3 x}$&$16$\\ \hline \end{longtable}"," ",0,"x*ln(ln(2))-5/3/x","A"
5720,1,55,56,0.237000," ","int(((4*x^5-66*x^3)*exp(x^2-8*x+16)^2+((4*x^5+16*x^4-68*x^3-280*x^2-32*x)*ln(3)-4*x^7-16*x^6+64*x^5+248*x^4-32*x^3)*exp(x^2-8*x+16)+(-2*x^3-24*x^2-96*x-128)*ln(3)^2+52*x^7+624*x^6+2496*x^5+3328*x^4)/(25*x^6+300*x^5+1200*x^4+1600*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{26 x^{2}}{25}+\frac{\ln \left(3\right)^{2}}{25 x^{2}}+\frac{{\mathrm e}^{2 \left(x -4\right)^{2}}}{25 \left(4+x \right)^{2}}+\frac{2 \left(\ln \left(3\right)-x^{2}\right) {\mathrm e}^{\left(x -4\right)^{2}}}{25 \left(4+x \right) x}$&$55$\\ norman&$\frac{-\frac{3328 x^{3}}{25}+\left(\frac{\ln \left(3\right)^{2}}{25}-\frac{6656}{25}\right) x^{2}+\frac{208 x^{5}}{25}+\frac{26 x^{6}}{25}+\frac{16 \ln \left(3\right)^{2}}{25}+\frac{8 x \ln \left(3\right)^{2}}{25}+\frac{x^{2} {\mathrm e}^{2 x^{2}-16 x +32}}{25}-\frac{8 \,{\mathrm e}^{x^{2}-8 x +16} x^{3}}{25}-\frac{2 \,{\mathrm e}^{x^{2}-8 x +16} x^{4}}{25}+\frac{8 \ln \left(3\right) {\mathrm e}^{x^{2}-8 x +16} x}{25}+\frac{2 \ln \left(3\right) {\mathrm e}^{x^{2}-8 x +16} x^{2}}{25}}{\left(4+x \right)^{2} x^{2}}$&$125$\\ \hline \end{longtable}"," ",0,"26/25*x^2+1/25*ln(3)^2/x^2+1/25/(4+x)^2*exp(2*(x-4)^2)+2/25*(ln(3)-x^2)/(4+x)/x*exp((x-4)^2)","A"
5721,1,16,15,0.065000," ","int(((-4*x^3-36*x^2)*exp(x)*exp(x^2+1)+(-2*x^2-22*x-18)*exp(x))*exp(exp(x^2+1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \left(x +9\right) x \,{\mathrm e}^{x +{\mathrm e}^{x^{2}+1}}$&$16$\\ \hline \end{longtable}"," ",0,"-2*(x+9)*x*exp(x+exp(x^2+1))","A"
5722,1,19,18,0.064000," ","int(1/2*(-6*x^2-34*x+543)*exp(-x^3-17/2*x^2+543/2*x+4959/2)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +{\mathrm e}^{-x^{3}-\frac{17}{2} x^{2}+\frac{543}{2} x +\frac{4959}{2}}$&$19$\\ norman&$x +{\mathrm e}^{-x^{3}-\frac{17}{2} x^{2}+\frac{543}{2} x +\frac{4959}{2}}$&$19$\\ risch&$x +{\mathrm e}^{-x^{3}-\frac{17}{2} x^{2}+\frac{543}{2} x +\frac{4959}{2}}$&$19$\\ \hline \end{longtable}"," ",0,"x+exp(-x^3-17/2*x^2+543/2*x+4959/2)","A"
5723,0,0,30,0.377000," ","int(((((x-2)*exp(9)+x^4-3*x^3+2*x^2+4*x-8)*ln(x/(x-2))+(x^2-2*x)*exp(9)+x^5-3*x^4+2*x^3+4*x^2-8*x)*ln((exp(9)+x^3-x^2+4)/(ln(x/(x-2))+x))+(3*x^4-8*x^3+4*x^2)*ln(x/(x-2))+(-x^2+2*x+2)*exp(9)+2*x^5-5*x^4+4*x^3-6*x^2+8*x+8)/(((3*x-6)*exp(9)+3*x^4-9*x^3+6*x^2+12*x-24)*ln(x/(x-2))+(3*x^2-6*x)*exp(9)+3*x^5-9*x^4+6*x^3+12*x^2-24*x),x)","\[\int \frac{\left(\left(\left(x -2\right) {\mathrm e}^{9}+x^{4}-3 x^{3}+2 x^{2}+4 x -8\right) \ln \left(\frac{x}{x -2}\right)+\left(x^{2}-2 x \right) {\mathrm e}^{9}+x^{5}-3 x^{4}+2 x^{3}+4 x^{2}-8 x \right) \ln \left(\frac{{\mathrm e}^{9}+x^{3}-x^{2}+4}{\ln \left(\frac{x}{x -2}\right)+x}\right)+\left(3 x^{4}-8 x^{3}+4 x^{2}\right) \ln \left(\frac{x}{x -2}\right)+\left(-x^{2}+2 x +2\right) {\mathrm e}^{9}+2 x^{5}-5 x^{4}+4 x^{3}-6 x^{2}+8 x +8}{\left(\left(3 x -6\right) {\mathrm e}^{9}+3 x^{4}-9 x^{3}+6 x^{2}+12 x -24\right) \ln \left(\frac{x}{x -2}\right)+\left(3 x^{2}-6 x \right) {\mathrm e}^{9}+3 x^{5}-9 x^{4}+6 x^{3}+12 x^{2}-24 x}\, dx\]"," ",0,"int(((((x-2)*exp(9)+x^4-3*x^3+2*x^2+4*x-8)*ln(x/(x-2))+(x^2-2*x)*exp(9)+x^5-3*x^4+2*x^3+4*x^2-8*x)*ln((exp(9)+x^3-x^2+4)/(ln(x/(x-2))+x))+(3*x^4-8*x^3+4*x^2)*ln(x/(x-2))+(-x^2+2*x+2)*exp(9)+2*x^5-5*x^4+4*x^3-6*x^2+8*x+8)/(((3*x-6)*exp(9)+3*x^4-9*x^3+6*x^2+12*x-24)*ln(x/(x-2))+(3*x^2-6*x)*exp(9)+3*x^5-9*x^4+6*x^3+12*x^2-24*x),x)","F"
5724,1,29,23,0.043000," ","int(((exp(3)+x)*exp(exp(3)/x)*ln(6*x)+x*exp(exp(3)/x)+x^2)/(5*x^3*ln(6*x)^2+(-x^2*exp(exp(3)/x)-x^3)*ln(6*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\ln \left(6 x \right)\right)+\ln \left(\ln \left(6 x \right)-\frac{x +{\mathrm e}^{\frac{{\mathrm e}^{3}}{x}}}{5 x}\right)$&$29$\\ \hline \end{longtable}"," ",0,"-ln(ln(6*x))+ln(ln(6*x)-1/5*(x+exp(exp(3)/x))/x)","A"
5725,1,25,24,0.041000," ","int((((-2*x^4+6*x^3+x^2)*exp(x^2)+3*x^2-10*x+15)*ln(1/2*x)+x^2*exp(x^2)^2+(7*x^2-13*x)*exp(x^2)+12*x^2-44*x+40)/(x^2*exp(x^2)^2+(6*x^2-10*x)*exp(x^2)+9*x^2-30*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(x -3\right) \ln \left(\frac{x}{2}\right)}{{\mathrm e}^{x^{2}} x +3 x -5}+x$&$25$\\ \hline \end{longtable}"," ",0,"x*(x-3)/(exp(x^2)*x+3*x-5)*ln(1/2*x)+x","A"
5726,1,5,12,0.010000," ","int(exp(x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x}+x$&$5$\\ norman&${\mathrm e}^{x}+x$&$5$\\ risch&${\mathrm e}^{x}+x$&$5$\\ derivativedivides&${\mathrm e}^{x}+\ln \left({\mathrm e}^{x}\right)$&$7$\\ \hline \end{longtable}"," ",0,"exp(x)+x","A"
5727,1,30,30,0.674000," ","int((((-24*x^3+96*x^2)*exp(1)^2+(-48*x^3+288*x^2-384*x)*exp(1)-24*x^3+192*x^2-480*x+384)*ln(x-4)^2+((48*x^4-768*x^2)*exp(1)^2+(96*x^4-195*x^3-1524*x^2+3072*x)*exp(1)+48*x^4-195*x^3-552*x^2+3024*x-3072)*ln(x-4)+(-24*x^5-96*x^4+384*x^3+1536*x^2)*exp(1)^2+(-48*x^5-96*x^4+1167*x^3+1488*x^2-6144*x)*exp(1)-24*x^5+681*x^3-462*x^2-4416*x+6144)/(((2*x^3-8*x^2)*exp(1)^2+(4*x^3-24*x^2+32*x)*exp(1)+2*x^3-16*x^2+40*x-32)*ln(x-4)^2+((-4*x^4+64*x^2)*exp(1)^2+(-8*x^4+16*x^3+128*x^2-256*x)*exp(1)-4*x^4+16*x^3+48*x^2-256*x+256)*ln(x-4)+(2*x^5+8*x^4-32*x^3-128*x^2)*exp(1)^2+(4*x^5+8*x^4-96*x^3-128*x^2+512*x)*exp(1)+2*x^5-56*x^3+32*x^2+384*x-512),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-12 x +\frac{3 x^{2}}{2 \left(x \,{\mathrm e}+x -2\right) \left(4+x -\ln \left(x -4\right)\right)}$&$30$\\ norman&$\frac{\left(-12 \,{\mathrm e}-12\right) x^{3}+96 x +\left(-\frac{45}{2}-48 \,{\mathrm e}\right) x^{2}+\left(12 \,{\mathrm e}+12\right) x^{2} \ln \left(x -4\right)-24 x \ln \left(x -4\right)}{\left(4+x -\ln \left(x -4\right)\right) \left(x \,{\mathrm e}+x -2\right)}$&$67$\\ \hline \end{longtable}"," ",0,"-12*x+3/2*x^2/(x*exp(1)+x-2)/(4+x-ln(x-4))","A"
5728,1,86,31,0.148000," ","int((((-64*x^5-320*x^4-384*x^3-128*x^2)*ln(3)^2+(192*x^6+896*x^5+1088*x^4+384*x^3)*ln(3)-128*x^7-576*x^6-712*x^5-312*x^4-144*x^3-160*x^2-64*x)*ln(x)+(-32*x^5-128*x^4-160*x^3-64*x^2)*ln(3)^2+(64*x^6+256*x^5+320*x^4+128*x^3)*ln(3)-32*x^7-128*x^6-164*x^5-96*x^4-100*x^3-152*x^2-112*x-32)/(x^4+6*x^3+12*x^2+8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-16 \ln \left(x \right)+\left(-64+64 \ln \left(3\right)\right) x^{5} \ln \left(x \right)-48 x \ln \left(x \right)+\left(-52-32 \ln \left(3\right)^{2}\right) x^{2} \ln \left(x \right)+\left(-36+128 \ln \left(3\right)-32 \ln \left(3\right)^{2}\right) x^{4} \ln \left(x \right)+\left(-24+64 \ln \left(3\right)-64 \ln \left(3\right)^{2}\right) x^{3} \ln \left(x \right)-32 x^{6} \ln \left(x \right)}{\left(2+x \right)^{2}}$&$86$\\ risch&$-\frac{4 \left(8 x^{4} \ln \left(3\right)^{2}-16 x^{5} \ln \left(3\right)+8 x^{6}+16 x^{3} \ln \left(3\right)^{2}-32 x^{4} \ln \left(3\right)+16 x^{5}-32 x^{2} \ln \left(3\right)^{2}-16 x^{3} \ln \left(3\right)+9 x^{4}-160 x \ln \left(3\right)^{2}-192 x^{2} \ln \left(3\right)+6 x^{3}-160 \ln \left(3\right)^{2}-768 x \ln \left(3\right)-212 x^{2}-768 \ln \left(3\right)-888 x -896\right) \ln \left(x \right)}{x^{2}+4 x +4}-160 \ln \left(3\right)^{2} \ln \left(x \right)-768 \ln \left(3\right) \ln \left(x \right)-900 \ln \left(x \right)$&$141$\\ default&$320 x \ln \left(3\right) \ln \left(x \right)-128 x^{2} \ln \left(3\right) \ln \left(x \right)-164 x^{2} \ln \left(x \right)-32 x^{2} \ln \left(3\right)^{2} \ln \left(x \right)-4 \ln \left(x \right)+64 x^{3} \ln \left(x \right)-32 x^{4} \ln \left(x \right)+376 x \ln \left(x \right)+\frac{128 \ln \left(x \right) x \left(4+x \right)}{\left(2+x \right)^{2}}+\frac{128 \ln \left(3\right) \ln \left(x \right) x^{2}}{\left(2+x \right)^{2}}+\frac{512 \ln \left(3\right) \ln \left(x \right) x}{\left(2+x \right)^{2}}-\frac{896 \ln \left(3\right) \ln \left(x \right) x}{2+x}+\frac{32 \ln \left(3\right)^{2} \ln \left(x \right) x^{2}}{\left(2+x \right)^{2}}+\frac{128 \ln \left(3\right)^{2} \ln \left(x \right) x}{\left(2+x \right)^{2}}-\frac{192 \ln \left(3\right)^{2} \ln \left(x \right) x}{2+x}+64 \ln \left(x \right) \ln \left(3\right) x^{3}-\frac{1024 \ln \left(x \right) x}{2+x}+64 \ln \left(x \right) \ln \left(3\right)^{2} x$&$182$\\ \hline \end{longtable}"," ",0,"(-16*ln(x)+(-64+64*ln(3))*x^5*ln(x)-48*x*ln(x)+(-52-32*ln(3)^2)*x^2*ln(x)+(-36+128*ln(3)-32*ln(3)^2)*x^4*ln(x)+(-24+64*ln(3)-64*ln(3)^2)*x^3*ln(x)-32*x^6*ln(x))/(2+x)^2","B"
5729,1,76,31,0.272000," ","int((((x^8+2*x^5+x^2)*exp(5)^2+(2*x^9-4*x^8+4*x^6-8*x^5+2*x^3-4*x^2)*exp(5)+x^10-4*x^9+4*x^8+2*x^7-8*x^6+8*x^5+x^4-4*x^3+4*x^2)*exp(x)^5+((-8*x^7-8*x^4)*exp(5)^2+(-16*x^8+32*x^7-16*x^5+32*x^4-4*x^3-1)*exp(5)-8*x^9+32*x^8-32*x^7-8*x^6+32*x^5-37*x^4+8*x^3-2*x+2)*exp(x)^4+((24*x^6+8*x^3)*exp(5)^2+(48*x^7-96*x^6+16*x^4-36*x^3+12*x^2)*exp(5)+24*x^8-96*x^7+96*x^6+8*x^5-36*x^4+56*x^3-24*x^2)*exp(x)^3+(-32*x^5*exp(5)^2+(-64*x^6+128*x^5+8*x^2-8*x)*exp(5)-32*x^7+128*x^6-128*x^5+8*x^3-28*x^2+16*x)*exp(x)^2+(16*x^4*exp(5)^2+(32*x^5-64*x^4)*exp(5)+16*x^6-64*x^5+64*x^4)*exp(x))/(((x^8+2*x^5+x^2)*exp(5)^2+(2*x^9-4*x^8+4*x^6-8*x^5+2*x^3-4*x^2)*exp(5)+x^10-4*x^9+4*x^8+2*x^7-8*x^6+8*x^5+x^4-4*x^3+4*x^2)*exp(x)^4+((-8*x^7-8*x^4)*exp(5)^2+(-16*x^8+32*x^7-16*x^5+32*x^4)*exp(5)-8*x^9+32*x^8-32*x^7-8*x^6+32*x^5-32*x^4)*exp(x)^3+((24*x^6+8*x^3)*exp(5)^2+(48*x^7-96*x^6+16*x^4-32*x^3)*exp(5)+24*x^8-96*x^7+96*x^6+8*x^5-32*x^4+32*x^3)*exp(x)^2+(-32*x^5*exp(5)^2+(-64*x^6+128*x^5)*exp(5)-32*x^7+128*x^6-128*x^5)*exp(x)+16*x^4*exp(5)^2+(32*x^5-64*x^4)*exp(5)+16*x^6-64*x^5+64*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{\left(x^{3} {\mathrm e}^{5}+x^{4}-2 x^{3}+{\mathrm e}^{5}+x -2\right) x}+{\mathrm e}^{x}+\frac{4 \,{\mathrm e}^{x} x -4}{\left({\mathrm e}^{5}+x -2\right) \left(x^{3}+1\right) \left({\mathrm e}^{2 x} x^{3}-4 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{2 x}+4 x \right)}$&$76$\\ \hline \end{longtable}"," ",0,"1/(x^3*exp(5)+x^4-2*x^3+exp(5)+x-2)/x+exp(x)+4*(exp(x)*x-1)/(exp(5)+x-2)/(x^3+1)/(exp(2*x)*x^3-4*exp(x)*x^2+exp(2*x)+4*x)","B"
5730,1,134,28,0.129000," ","int(((-10*x^3-20*x)*ln((x^2+2)/x)^2+((-5*x^2-10)*ln(x)^2+(-10*x^2-20)*ln(x)+20*x^4+40*x^2)*ln((x^2+2)/x)+(5*x^2-10)*ln(x)^2+(10*x^3+20*x)*ln(x)-10*x^5-20*x^3)/((x^2+2)*ln((x^2+2)/x)^2+(-2*x^3-4*x)*ln((x^2+2)/x)+x^4+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x^{2}+\frac{10 x \ln \left(x \right)^{2}}{-i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+2\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+2\right)}{x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+2\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+2\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)+i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+2\right)}{x}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+2\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+2 x +2 \ln \left(x \right)-2 \ln \left(x^{2}+2\right)}$&$134$\\ \hline \end{longtable}"," ",0,"-5*x^2+10*x*ln(x)^2/(-I*Pi*csgn(I*(x^2+2))*csgn(I/x*(x^2+2))^2+I*Pi*csgn(I*(x^2+2))*csgn(I/x*(x^2+2))*csgn(I/x)+I*Pi*csgn(I/x*(x^2+2))^3-I*Pi*csgn(I/x*(x^2+2))^2*csgn(I/x)+2*x+2*ln(x)-2*ln(x^2+2))","C"
5731,1,26,20,0.125000," ","int(((-3*x^5+24*x^4-48*x^3+x^2-8*x+16)*exp(x^3+4)-32*x+64)/((x^2-8*x+16)*exp(x^3+4)^2+(-32*x+128)*exp(x^3+4)+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x -4\right) x}{{\mathrm e}^{x^{3}+4} x -4 \,{\mathrm e}^{x^{3}+4}-16}$&$26$\\ norman&$\frac{x^{2}-4 x}{{\mathrm e}^{x^{3}+4} x -4 \,{\mathrm e}^{x^{3}+4}-16}$&$29$\\ \hline \end{longtable}"," ",0,"(x-4)*x/(exp(x^3+4)*x-4*exp(x^3+4)-16)","A"
5732,1,1503,27,13.870000," ","int(((-9*exp(x)+9*x+9)*ln(-1/5*exp(x)*x^2+1/5*x^3+1/5*x^2)^2+((-2*x^2-22*x-36)*exp(x)+6*x^2+58*x+36)*ln(-1/5*exp(x)*x^2+1/5*x^3+1/5*x^2)-9*exp(x)+9*x+9)/((exp(x)*x^2-x^3-x^2)*ln(-1/5*exp(x)*x^2+1/5*x^3+1/5*x^2)^4+(2*exp(x)*x^2-2*x^3-2*x^2)*ln(-1/5*exp(x)*x^2+1/5*x^3+1/5*x^2)^2+exp(x)*x^2-x^3-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \left(x +9\right)}{x \left(-4-4 \ln \left(5\right)^{2}-16 \ln \left(x \right)^{2}+8 \ln \left(5\right) \ln \left(1-{\mathrm e}^{x}+x \right)-16 \ln \left(x \right) \ln \left(1-{\mathrm e}^{x}+x \right)+4 i \ln \left(1-{\mathrm e}^{x}+x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}+\pi^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{6}+16 \ln \left(5\right) \ln \left(x \right)+\pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-4 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}+2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)-2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{2}+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{2}+4 i \ln \left(1-{\mathrm e}^{x}+x \right) \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right) \mathrm{csgn}\left(i x^{2}\right)-4 i \ln \left(5\right) \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right) \mathrm{csgn}\left(i x^{2}\right)+8 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right) \mathrm{csgn}\left(i x^{2}\right)-16 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-4 i \ln \left(1-{\mathrm e}^{x}+x \right) \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{3}+4 i \ln \left(5\right) \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{3}-8 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{3}+\pi^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{2}+6 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+\pi^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{3}+2 \pi^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{5} \mathrm{csgn}\left(i x^{2}\right)+\pi^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{4}-2 \pi^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{5}+2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{3} \mathrm{csgn}\left(i x^{2}\right)-4 i \ln \left(5\right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{2}-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{2}-4 i \ln \left(5\right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+8 i \ln \left(5\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-4 \ln \left(1-{\mathrm e}^{x}+x \right)^{2}+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{4} \mathrm{csgn}\left(i x^{2}\right)+8 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-4 i \ln \left(5\right) \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{2}+8 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{2}+4 i \ln \left(1-{\mathrm e}^{x}+x \right) \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)+8 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+4 i \ln \left(1-{\mathrm e}^{x}+x \right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-8 i \ln \left(1-{\mathrm e}^{x}+x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(5\right) \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{2} \mathrm{csgn}\left(i x^{2}\right)-8 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{2} \mathrm{csgn}\left(i x^{2}\right)-4 i \ln \left(1-{\mathrm e}^{x}+x \right) \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x -1\right) x^{2}\right)^{3}\right)}$&$1503$\\ \hline \end{longtable}"," ",0,"-4*(x+9)/x/(-4+Pi^2*csgn(I*x)^4*csgn(I*x^2)^2-4*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3+6*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4-4*Pi^2*csgn(I*x)*csgn(I*x^2)^5-4*ln(5)^2-16*ln(x)^2+8*ln(5)*ln(1-exp(x)+x)-16*ln(x)*ln(1-exp(x)+x)+16*ln(5)*ln(x)+4*I*ln(1-exp(x)+x)*Pi*csgn(I*(exp(x)-x-1))*csgn(I*(exp(x)-x-1)*x^2)*csgn(I*x^2)-4*I*ln(5)*Pi*csgn(I*(exp(x)-x-1))*csgn(I*(exp(x)-x-1)*x^2)*csgn(I*x^2)+8*I*ln(x)*Pi*csgn(I*(exp(x)-x-1))*csgn(I*(exp(x)-x-1)*x^2)*csgn(I*x^2)+Pi^2*csgn(I*x^2)^6-4*I*ln(5)*Pi*csgn(I*x^2)^3-2*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I*(exp(x)-x-1)*x^2)^3+4*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I*(exp(x)-x-1)*x^2)^3-4*Pi^2*csgn(I*(exp(x)-x-1))*csgn(I*(exp(x)-x-1)*x^2)^4*csgn(I*x^2)+8*I*ln(x)*Pi*csgn(I*x^2)^3+4*I*ln(1-exp(x)+x)*Pi*csgn(I*x^2)^3+Pi^2*csgn(I*(exp(x)-x-1)*x^2)^4*csgn(I*x^2)^2-2*Pi^2*csgn(I*x^2)^4*csgn(I*(exp(x)-x-1)*x^2)^2-4*I*ln(5)*Pi*csgn(I*(exp(x)-x-1))*csgn(I*(exp(x)-x-1)*x^2)^2+8*I*ln(x)*Pi*csgn(I*(exp(x)-x-1))*csgn(I*(exp(x)-x-1)*x^2)^2+4*I*ln(1-exp(x)+x)*Pi*csgn(I*(exp(x)-x-1))*csgn(I*(exp(x)-x-1)*x^2)^2+2*Pi^2*csgn(I*x)^2*csgn(I*x^2)^2*csgn(I*(exp(x)-x-1))*csgn(I*(exp(x)-x-1)*x^2)-4*Pi^2*csgn(I*x)*csgn(I*x^2)^3*csgn(I*(exp(x)-x-1))*csgn(I*(exp(x)-x-1)*x^2)+8*I*ln(x)*Pi*csgn(I*x)^2*csgn(I*x^2)-16*I*ln(x)*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(1-exp(x)+x)*Pi*csgn(I*x)^2*csgn(I*x^2)-8*I*ln(1-exp(x)+x)*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi^2*csgn(I*(exp(x)-x-1)*x^2)^6-2*Pi^2*csgn(I*x^2)^3*csgn(I*(exp(x)-x-1)*x^2)^3+2*Pi^2*csgn(I*(exp(x)-x-1)*x^2)^5*csgn(I*x^2)+4*I*ln(5)*Pi*csgn(I*(exp(x)-x-1)*x^2)^2*csgn(I*x^2)-8*I*ln(x)*Pi*csgn(I*(exp(x)-x-1)*x^2)^2*csgn(I*x^2)-4*I*ln(1-exp(x)+x)*Pi*csgn(I*(exp(x)-x-1)*x^2)^2*csgn(I*x^2)+2*Pi^2*csgn(I*x^2)^3*csgn(I*(exp(x)-x-1))*csgn(I*(exp(x)-x-1)*x^2)^2+2*Pi^2*csgn(I*(exp(x)-x-1))^2*csgn(I*(exp(x)-x-1)*x^2)^3*csgn(I*x^2)-4*ln(1-exp(x)+x)^2-4*I*ln(1-exp(x)+x)*Pi*csgn(I*(exp(x)-x-1)*x^2)^3+4*I*ln(5)*Pi*csgn(I*(exp(x)-x-1)*x^2)^3+2*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I*(exp(x)-x-1))*csgn(I*(exp(x)-x-1)*x^2)^2-4*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I*(exp(x)-x-1))*csgn(I*(exp(x)-x-1)*x^2)^2-8*I*ln(x)*Pi*csgn(I*(exp(x)-x-1)*x^2)^3+Pi^2*csgn(I*(exp(x)-x-1))^2*csgn(I*(exp(x)-x-1)*x^2)^4-2*Pi^2*csgn(I*(exp(x)-x-1))*csgn(I*(exp(x)-x-1)*x^2)^5+Pi^2*csgn(I*(exp(x)-x-1))^2*csgn(I*(exp(x)-x-1)*x^2)^2*csgn(I*x^2)^2-2*Pi^2*csgn(I*(exp(x)-x-1))*csgn(I*(exp(x)-x-1)*x^2)^3*csgn(I*x^2)^2+2*Pi^2*csgn(I*x^2)^4*csgn(I*(exp(x)-x-1))*csgn(I*(exp(x)-x-1)*x^2)-2*Pi^2*csgn(I*x)^2*csgn(I*x^2)^2*csgn(I*(exp(x)-x-1)*x^2)^2+4*Pi^2*csgn(I*x)*csgn(I*x^2)^3*csgn(I*(exp(x)-x-1)*x^2)^2-4*I*ln(5)*Pi*csgn(I*x)^2*csgn(I*x^2)+8*I*ln(5)*Pi*csgn(I*x)*csgn(I*x^2)^2)","C"
5733,1,33,30,0.063000," ","int(((2*x^3+12*x^2+18*x)*ln(4*x)-x^5-6*x^4-20*x^3-66*x^2-123*x-48)/(x^5+6*x^4+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\frac{2 \ln \left(4 x \right)}{x}+\frac{73}{9 x}-x +\frac{8}{3 x^{2}}+\frac{32}{9 \left(4 x +12\right)}$&$33$\\ default&$-\frac{2 \ln \left(4 x \right)}{x}+\frac{73}{9 x}-x +\frac{8}{3 x^{2}}+\frac{32}{9 \left(4 x +12\right)}$&$33$\\ risch&$-\frac{2 \ln \left(4 x \right)}{x}-\frac{x^{4}+3 x^{3}-9 x^{2}-27 x -8}{x^{2} \left(3+x \right)}$&$39$\\ norman&$\frac{8+18 x^{2}-2 x^{2} \ln \left(4 x \right)+27 x -x^{4}-6 x \ln \left(4 x \right)}{x^{2} \left(3+x \right)}$&$41$\\ \hline \end{longtable}"," ",0,"-2*ln(4*x)/x+73/9/x-x+8/3/x^2+32/9/(4*x+12)","A"
5734,1,28,25,0.233000," ","int((((2*x^3-21*x^2+60*x-25)*exp(4)^2+5*x)*exp(((2*x^2-10*x)*exp(4)^2-x)/(x-5)/exp(4)^2)+(x^4-10*x^3+25*x^2)*exp(4)^2)/(x^4-10*x^3+25*x^2)/exp(4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{{\mathrm e}^{\frac{x \left(2 x \,{\mathrm e}^{8}-10 \,{\mathrm e}^{8}-1\right) {\mathrm e}^{-8}}{x -5}}}{x}$&$28$\\ norman&$\frac{\left(x^{3} {\mathrm e}^{4}-25 x \,{\mathrm e}^{4}+x \,{\mathrm e}^{4} {\mathrm e}^{\frac{\left(\left(2 x^{2}-10 x \right) {\mathrm e}^{8}-x \right) {\mathrm e}^{-8}}{x -5}}-5 \,{\mathrm e}^{4} {\mathrm e}^{\frac{\left(\left(2 x^{2}-10 x \right) {\mathrm e}^{8}-x \right) {\mathrm e}^{-8}}{x -5}}\right) {\mathrm e}^{-4}}{x \left(x -5\right)}$&$92$\\ \hline \end{longtable}"," ",0,"x+1/x*exp(x*(2*x*exp(8)-10*exp(8)-1)*exp(-8)/(x-5))","A"
5735,1,26,20,0.176000," ","int(((-15*x-125)*exp(25/x)-5*x^5)/(x^2*exp(25/x)-x^6-2*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-15 \ln \left(x \right)+5 \ln \left(x^{4}+2 x^{3}-{\mathrm e}^{\frac{25}{x}}\right)$&$26$\\ risch&$-15 \ln \left(x \right)+5 \ln \left(-x^{4}-2 x^{3}+{\mathrm e}^{\frac{25}{x}}\right)$&$26$\\ \hline \end{longtable}"," ",0,"-15*ln(x)+5*ln(x^4+2*x^3-exp(25/x))","A"
5736,1,9,18,0.027000," ","int((105*x-120)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$105 x -120 \ln \left(x \right)$&$9$\\ norman&$105 x -120 \ln \left(x \right)$&$9$\\ risch&$105 x -120 \ln \left(x \right)$&$9$\\ \hline \end{longtable}"," ",0,"105*x-120*ln(x)","A"
5737,1,24,31,0.064000," ","int(1/9*(-9*x^5-252*x^2-196)*exp(1/9*(-9*x^5+81*x^4+126*x^2+49)/x^4)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{9 x^{5}-81 x^{4}-126 x^{2}-49}{9 x^{4}}}$&$24$\\ norman&${\mathrm e}^{\frac{-9 x^{5}+81 x^{4}+126 x^{2}+49}{9 x^{4}}}$&$24$\\ risch&${\mathrm e}^{-\frac{9 x^{5}-81 x^{4}-126 x^{2}-49}{9 x^{4}}}$&$24$\\ \hline \end{longtable}"," ",0,"exp(-1/9*(9*x^5-81*x^4-126*x^2-49)/x^4)","A"
5738,1,22,20,0.069000," ","int(((24*x+12)*exp(3)*exp(12/x/exp(2*x))+x^2*exp(3)*exp(2*x))/exp(2*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{3}-{\mathrm e}^{\frac{3 x +12 \,{\mathrm e}^{-2 x}}{x}}$&$22$\\ norman&$\frac{\left(x^{2} {\mathrm e}^{3} {\mathrm e}^{2 x}-x \,{\mathrm e}^{3} {\mathrm e}^{2 x} {\mathrm e}^{\frac{12 \,{\mathrm e}^{-2 x}}{x}}\right) {\mathrm e}^{-2 x}}{x}$&$43$\\ \hline \end{longtable}"," ",0,"x*exp(3)-exp(3*(x+4*exp(-2*x))/x)","A"
5739,1,269,25,1.323000," ","int((((x^2-5*x+4)*exp(10)^2-x+1)*exp(x)*ln(-x^4*exp(10)^2/((x-4)*exp(10)^2-1))*ln(ln(-x^4*exp(10)^2/((x-4)*exp(10)^2-1)))^2+((6*x-32)*exp(10)^2-8)*exp(x)*ln(ln(-x^4*exp(10)^2/((x-4)*exp(10)^2-1))))/((x^3-4*x^2)*exp(10)^2-x^2)/ln(-x^4*exp(10)^2/((x-4)*exp(10)^2-1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x} \ln \left(20+i \pi +4 \ln \left(x \right)-\ln \left(\left(x -4\right) {\mathrm e}^{20}-1\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x^{3}\right)\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x^{4}}{\left(x -4\right) {\mathrm e}^{20}-1}\right) \left(-\mathrm{csgn}\left(\frac{i x^{4}}{\left(x -4\right) {\mathrm e}^{20}-1}\right)+\mathrm{csgn}\left(i x^{4}\right)\right) \left(-\mathrm{csgn}\left(\frac{i x^{4}}{\left(x -4\right) {\mathrm e}^{20}-1}\right)+\mathrm{csgn}\left(\frac{i}{\left(x -4\right) {\mathrm e}^{20}-1}\right)\right)}{2}+i \pi  \mathrm{csgn}\left(\frac{i x^{4}}{\left(x -4\right) {\mathrm e}^{20}-1}\right)^{2} \left(\mathrm{csgn}\left(\frac{i x^{4}}{\left(x -4\right) {\mathrm e}^{20}-1}\right)-1\right)\right)^{2}}{x}$&$269$\\ \hline \end{longtable}"," ",0,"1/x*exp(x)*ln(20+I*Pi+4*ln(x)-ln((x-4)*exp(20)-1)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^3)*(-csgn(I*x^3)+csgn(I*x^2))*(-csgn(I*x^3)+csgn(I*x))-1/2*I*Pi*csgn(I*x^4)*(-csgn(I*x^4)+csgn(I*x^3))*(-csgn(I*x^4)+csgn(I*x))-1/2*I*Pi*csgn(I*x^4/((x-4)*exp(20)-1))*(-csgn(I*x^4/((x-4)*exp(20)-1))+csgn(I*x^4))*(-csgn(I*x^4/((x-4)*exp(20)-1))+csgn(I/((x-4)*exp(20)-1)))+I*Pi*csgn(I*x^4/((x-4)*exp(20)-1))^2*(csgn(I*x^4/((x-4)*exp(20)-1))-1))^2","C"
5740,1,19,20,0.036000," ","int(((-ln(5)-3)*ln(x)+4)/(ln(5)+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(7+\ln \left(5\right)\right) x}{\ln \left(5\right)+3}-x \ln \left(x \right)$&$19$\\ risch&$\frac{7 x}{\ln \left(5\right)+3}+\frac{x \ln \left(5\right)}{\ln \left(5\right)+3}-x \ln \left(x \right)$&$26$\\ default&$\frac{7 x -x \ln \left(5\right) \ln \left(x \right)-3 x \ln \left(x \right)+x \ln \left(5\right)}{\ln \left(5\right)+3}$&$28$\\ \hline \end{longtable}"," ",0,"(7+ln(5))/(ln(5)+3)*x-x*ln(x)","A"
5741,1,45,26,0.094000," ","int(((-2*x*exp(1)*ln(exp(2)*x)+(-12*x^2+32*x+2)*exp(1)^2+(6*x^3-32*x^2)*exp(1))*ln(ln(exp(2)*x)-3*x^2+16*x)+2*x^2*ln(exp(2)*x)+(12*x^3-32*x^2-2*x)*exp(1)-6*x^4+32*x^3)/(x*ln(exp(2)*x)-3*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2} \ln \left(\ln \left({\mathrm e}^{2} x \right)-3 x^{2}+16 x \right)^{2}-2 \,{\mathrm e} \ln \left(\ln \left({\mathrm e}^{2} x \right)-3 x^{2}+16 x \right) x +x^{2}$&$45$\\ \hline \end{longtable}"," ",0,"exp(2)*ln(ln(exp(2)*x)-3*x^2+16*x)^2-2*exp(1)*ln(ln(exp(2)*x)-3*x^2+16*x)*x+x^2","A"
5742,1,38,14,0.038000," ","int(((-4*x^2+80*x+2)*ln(x)+4*x^4-240*x^3+4798*x^2-31920*x-800)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{4}-2 x^{2} \ln \left(x \right)+2400 x^{2}-80 x^{3}+80 x \ln \left(x \right)-32000 x +\ln \left(x \right)^{2}-800 \ln \left(x \right)$&$38$\\ norman&$x^{4}-2 x^{2} \ln \left(x \right)+2400 x^{2}-80 x^{3}+80 x \ln \left(x \right)-32000 x +\ln \left(x \right)^{2}-800 \ln \left(x \right)$&$38$\\ risch&$\ln \left(x \right)^{2}+\left(-2 x^{2}+80 x \right) \ln \left(x \right)+x^{4}-80 x^{3}+2400 x^{2}-32000 x -800 \ln \left(x \right)$&$38$\\ \hline \end{longtable}"," ",0,"x^4-2*x^2*ln(x)+2400*x^2-80*x^3+80*x*ln(x)-32000*x+ln(x)^2-800*ln(x)","B"
5743,1,414,31,0.491000," ","int(((20*x^4*ln(x)^3-80*x^5*ln(x))*ln((x*ln(x)^2-4*x^2)/ln(x)^2)+(10*x^6+75*x^4-200*x^2-100)*ln(x)^3+(-40*x^7-280*x^5+800*x^3+800*x)*ln(x)-40*x^5-800*x)/((x^9+40*x^5+400*x)*ln(x)^3+(-4*x^10-160*x^6-1600*x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \ln \left(-\frac{\ln \left(x \right)^{2}}{4}+x \right)}{x^{4}+20}-\frac{5 \left(i \pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right) x}{\ln \left(x \right)^{2}}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right)}{\ln \left(x \right)^{2}}\right)^{2}-2 i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right) x}{\ln \left(x \right)^{2}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right)}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right)}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right) x}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(i x \right)+i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right) x}{\ln \left(x \right)^{2}}\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right)}{\ln \left(x \right)^{2}}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right)}{\ln \left(x \right)^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right)-2 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}-i \pi  \,\mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right)}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)^{2}}{4}-x \right) x}{\ln \left(x \right)^{2}}\right)^{2}+2 i \pi +8+2 x^{2}+4 \ln \left(2\right)+2 \ln \left(x \right)-4 \ln \left(\ln \left(x \right)\right)\right)}{2 \left(x^{4}+20\right)}$&$414$\\ \hline \end{longtable}"," ",0,"-5/(x^4+20)*ln(-1/4*ln(x)^2+x)-5/2*(I*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-I*Pi*csgn(I*(1/4*ln(x)^2-x)/ln(x)^2*x)^3-I*Pi*csgn(I*(1/4*ln(x)^2-x))*csgn(I/ln(x)^2*(1/4*ln(x)^2-x))^2-2*I*Pi*csgn(I*(1/4*ln(x)^2-x)/ln(x)^2*x)^2-I*Pi*csgn(I*(1/4*ln(x)^2-x))*csgn(I/ln(x)^2*(1/4*ln(x)^2-x))*csgn(I/ln(x)^2)-I*Pi*csgn(I/ln(x)^2*(1/4*ln(x)^2-x))*csgn(I*(1/4*ln(x)^2-x)/ln(x)^2*x)*csgn(I*x)+I*Pi*csgn(I*(1/4*ln(x)^2-x)/ln(x)^2*x)^2*csgn(I*x)+I*Pi*csgn(I/ln(x)^2*(1/4*ln(x)^2-x))^3+I*Pi*csgn(I/ln(x)^2*(1/4*ln(x)^2-x))^2*csgn(I/ln(x)^2)-2*I*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+I*Pi*csgn(I*ln(x)^2)^3-I*Pi*csgn(I/ln(x)^2*(1/4*ln(x)^2-x))*csgn(I*(1/4*ln(x)^2-x)/ln(x)^2*x)^2+2*I*Pi+8+2*x^2+4*ln(2)+2*ln(x)-4*ln(ln(x)))/(x^4+20)","C"
5744,1,24,14,0.094000," ","int((-36*exp(3/x^2)^2+(-18*x^3+108*x)*exp(3/x^2)+54*x^4)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$27 x^{2}-18 x \,{\mathrm e}^{\frac{3}{x^{2}}}+3 \,{\mathrm e}^{\frac{6}{x^{2}}}$&$24$\\ default&$27 x^{2}-18 x \,{\mathrm e}^{\frac{3}{x^{2}}}+3 \,{\mathrm e}^{\frac{6}{x^{2}}}$&$24$\\ risch&$27 x^{2}-18 x \,{\mathrm e}^{\frac{3}{x^{2}}}+3 \,{\mathrm e}^{\frac{6}{x^{2}}}$&$24$\\ norman&$\frac{27 x^{4}-18 \,{\mathrm e}^{\frac{3}{x^{2}}} x^{3}+3 \,{\mathrm e}^{\frac{6}{x^{2}}} x^{2}}{x^{2}}$&$35$\\ \hline \end{longtable}"," ",0,"27*x^2+3*exp(1/x^2)^6-18*exp(1/x^2)^3*x","A"
5745,1,58,26,0.030000," ","int(((-ln(x)^2+2*ln(x)+x^2+1)*exp((ln(x)^2+x^2+x-1)/x)+2*x^2)/(2*x^2*exp((ln(x)^2+x^2+x-1)/x)+4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{2}}{2 x}+\frac{x^{2}-1}{2 x}-\frac{\ln \left(x \right)^{2}+x^{2}+x -1}{2 x}+\frac{\ln \left(2 x +{\mathrm e}^{\frac{\ln \left(x \right)^{2}+x^{2}+x -1}{x}}\right)}{2}$&$58$\\ \hline \end{longtable}"," ",0,"1/2*ln(x)^2/x+1/2*(x^2-1)/x-1/2*(ln(x)^2+x^2+x-1)/x+1/2*ln(2*x+exp((ln(x)^2+x^2+x-1)/x))","B"
5746,1,21,20,0.034000," ","int((ln(2+x)^2+(3*x^3+6*x^2+4*x+8)*ln(2+x)+4*x^4+19*x^3+28*x^2+16*x+16)*exp(x^3/(ln(2+x)+2*x+4))/(ln(2+x)^2+(4*x+8)*ln(2+x)+4*x^2+16*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(2+x \right) {\mathrm e}^{\frac{x^{3}}{\ln \left(2+x \right)+2 x +4}}$&$21$\\ \hline \end{longtable}"," ",0,"(2+x)*exp(x^3/(ln(2+x)+2*x+4))","A"
5747,1,632,24,0.365000," ","int((((2+x)*exp(5)+2+x)*exp(ln(-x^2-2*x)^2+2)+(4*x+4)*ln(-x^2-2*x)*ln(x)-x-2)/(x^2+2*x)/exp(ln(-x^2-2*x)^2+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{5} \ln \left(x \right)+\ln \left(x \right)-\ln \left(x \right) x^{-i \pi  \,\mathrm{csgn}\left(i x \right)} x^{-i \pi  \,\mathrm{csgn}\left(i \left(2+x \right)\right)} \left(2+x \right)^{-i \pi  \,\mathrm{csgn}\left(i x \right)} \left(2+x \right)^{-i \pi  \,\mathrm{csgn}\left(i \left(2+x \right)\right)} \left(2+x \right)^{-2 \ln \left(x \right)} \left(2+x \right)^{-2 i \pi} \left(2+x \right)^{i \pi  \,\mathrm{csgn}\left(i x \left(2+x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(2+x \right)\right)} x^{i \pi  \,\mathrm{csgn}\left(i x \left(2+x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(2+x \right)\right)} \left(2+x \right)^{-i \pi  \,\mathrm{csgn}\left(i x \left(2+x \right)\right)} x^{2 i \pi} \left(2+x \right)^{2 i \pi} x^{-i \pi  \,\mathrm{csgn}\left(i x \left(2+x \right)\right)} x^{-2 i \pi} {\mathrm e}^{-2+\pi^{2}-\ln \left(x \right)^{2}-\ln \left(2+x \right)^{2}} {\mathrm e}^{-\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(2+x \right)\right)} {\mathrm e}^{-\frac{\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)}{2}} {\mathrm e}^{-\frac{\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{3} \mathrm{csgn}\left(i \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i x \right)}{2}} {\mathrm e}^{\frac{\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)^{2}}{4}} {\mathrm e}^{\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(2+x \right)\right)} {\mathrm e}^{-\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{4} \mathrm{csgn}\left(i x \right)} {\mathrm e}^{\frac{\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{4} \mathrm{csgn}\left(i \left(2+x \right)\right)^{2}}{4}} {\mathrm e}^{-\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{4} \mathrm{csgn}\left(i \left(2+x \right)\right)} {\mathrm e}^{\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i x \right)} {\mathrm e}^{\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)} {\mathrm e}^{\frac{\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{5} \mathrm{csgn}\left(i x \right)}{2}} {\mathrm e}^{\frac{\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{5} \mathrm{csgn}\left(i \left(2+x \right)\right)}{2}} {\mathrm e}^{\frac{\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{4} \mathrm{csgn}\left(i x \right)^{2}}{4}} {\mathrm e}^{\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{3}} {\mathrm e}^{-2 \pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{2}} {\mathrm e}^{\frac{\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{6}}{4}} {\mathrm e}^{-\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{5}} {\mathrm e}^{\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{4}}$&$632$\\ \hline \end{longtable}"," ",0,"exp(5)*ln(x)+ln(x)-ln(x)/(x^(I*Pi*csgn(I*x)))/(x^(I*Pi*csgn(I*(2+x))))/((2+x)^(I*Pi*csgn(I*x)))/((2+x)^(I*Pi*csgn(I*(2+x))))/((2+x)^(2*ln(x)))/((2+x)^(2*I*Pi))/((2+x)^(-I*Pi*csgn(I*x*(2+x))*csgn(I*x)*csgn(I*(2+x))))/(x^(-I*Pi*csgn(I*x*(2+x))*csgn(I*x)*csgn(I*(2+x))))/((2+x)^(I*Pi*csgn(I*x*(2+x))))/(x^(-2*I*Pi))/((2+x)^(-2*I*Pi))/(x^(I*Pi*csgn(I*x*(2+x))))/(x^(2*I*Pi))*exp(-2+Pi^2-ln(x)^2-ln(2+x)^2)*exp(-Pi^2*csgn(I*x*(2+x))*csgn(I*x)*csgn(I*(2+x)))*exp(-1/2*Pi^2*csgn(I*x*(2+x))^3*csgn(I*x)^2*csgn(I*(2+x)))*exp(-1/2*Pi^2*csgn(I*x*(2+x))^3*csgn(I*(2+x))^2*csgn(I*x))*exp(1/4*Pi^2*csgn(I*x*(2+x))^2*csgn(I*x)^2*csgn(I*(2+x))^2)*exp(Pi^2*csgn(I*x*(2+x))^3*csgn(I*x)*csgn(I*(2+x)))*exp(-Pi^2*csgn(I*x*(2+x))^4*csgn(I*x))*exp(1/4*Pi^2*csgn(I*x*(2+x))^4*csgn(I*(2+x))^2)*exp(-Pi^2*csgn(I*x*(2+x))^4*csgn(I*(2+x)))*exp(Pi^2*csgn(I*x*(2+x))^2*csgn(I*x))*exp(Pi^2*csgn(I*x*(2+x))^2*csgn(I*(2+x)))*exp(1/2*Pi^2*csgn(I*x*(2+x))^5*csgn(I*x))*exp(1/2*Pi^2*csgn(I*x*(2+x))^5*csgn(I*(2+x)))*exp(1/4*Pi^2*csgn(I*x*(2+x))^4*csgn(I*x)^2)*exp(Pi^2*csgn(I*x*(2+x))^3)*exp(-2*Pi^2*csgn(I*x*(2+x))^2)*exp(1/4*Pi^2*csgn(I*x*(2+x))^6)*exp(-Pi^2*csgn(I*x*(2+x))^5)*exp(Pi^2*csgn(I*x*(2+x))^4)","C"
5748,1,38,22,0.338000," ","int(((64*x^2+40*x)*exp(4*x^2)*ln(1/64*(64*x^2+80*x+25)/ln(12)^2)^2+(8*x+5)*ln(1/64*(64*x^2+80*x+25)/ln(12)^2)-16*x)/(8*x+5)/ln(1/64*(64*x^2+80*x+25)/ln(12)^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{6 \ln \left(2\right)+2 \ln \left(\ln \left(3\right)+2 \ln \left(2\right)\right)-\ln \left(\left(8 x +5\right)^{2}\right)}+{\mathrm e}^{4 x^{2}}$&$38$\\ norman&$\frac{x +{\mathrm e}^{4 x^{2}} \ln \left(\frac{64 x^{2}+80 x +25}{64 \ln \left(12\right)^{2}}\right)}{\ln \left(\frac{64 x^{2}+80 x +25}{64 \ln \left(12\right)^{2}}\right)}$&$47$\\ risch&${\mathrm e}^{4 x^{2}}+\frac{2 i x}{\pi  \mathrm{csgn}\left(i \left(\frac{5}{8}+x \right)\right)^{2} \mathrm{csgn}\left(i \left(\frac{5}{8}+x \right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(\frac{5}{8}+x \right)\right) \mathrm{csgn}\left(i \left(\frac{5}{8}+x \right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(\frac{5}{8}+x \right)^{2}\right)^{3}-4 i \ln \left(\ln \left(3\right)+2 \ln \left(2\right)\right)+4 i \ln \left(\frac{5}{8}+x \right)}$&$87$\\ \hline \end{longtable}"," ",0,"-x/(6*ln(2)+2*ln(ln(3)+2*ln(2))-ln((8*x+5)^2))+exp(4*x^2)","A"
5749,1,12,18,0.033000," ","int((-1152*x+288)/exp(48*x^2-24*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$12 \,{\mathrm e}^{-24 x \left(2 x -1\right)}$&$12$\\ default&$12 \,{\mathrm e}^{-48 x^{2}+24 x}$&$13$\\ gosper&$12 \,{\mathrm e}^{-48 x^{2}+24 x}$&$15$\\ norman&$12 \,{\mathrm e}^{-48 x^{2}+24 x}$&$15$\\ \hline \end{longtable}"," ",0,"12*exp(-24*x*(2*x-1))","A"
5750,1,330,31,0.163000," ","int((-50*x*ln(x)^2+(((20*x^2-80*x)*exp(x)^2+(-20*x^4+80*x^3+40*x^2-160*x)*exp(x)+40*x^5-280*x^4+560*x^3-320*x^2)*ln(x-4)^2+((40*x^2-170*x)*exp(x)^2+(-40*x^4+180*x^3+40*x^2-320*x)*exp(x)+70*x^5-520*x^4+1080*x^3-640*x^2+50*x-200)*ln(x-4)+(20*x^2-90*x)*exp(x)^2+(-20*x^4+100*x^3-160*x)*exp(x)+30*x^5-240*x^4+520*x^3-320*x^2-150*x-200)*ln(x)+((4*x^2-16*x)*exp(x)^4+(-12*x^4+64*x^3-56*x^2-32*x)*exp(x)^3+(12*x^6-72*x^5+72*x^4+144*x^3-192*x^2)*exp(x)^2+(-4*x^8+16*x^7+72*x^6-448*x^5+736*x^4-384*x^3)*exp(x)+8*x^9-88*x^8+368*x^7-736*x^6+704*x^5-256*x^4)*ln(x-4)^3+((12*x^2-48*x)*exp(x)^4+(-36*x^4+192*x^3-168*x^2-96*x)*exp(x)^3+(36*x^6-216*x^5+216*x^4+432*x^3-536*x^2-150*x-40)*exp(x)^2+(-12*x^8+48*x^7+216*x^6-1344*x^5+2168*x^4-1012*x^3+200*x^2-480*x)*exp(x)+24*x^9-264*x^8+1104*x^7-2208*x^6+2202*x^5-1408*x^4+1320*x^3-800*x^2)*ln(x-4)^2+((12*x^2-48*x)*exp(x)^4+(-36*x^4+192*x^3-168*x^2-96*x)*exp(x)^3+(36*x^6-216*x^5+216*x^4+432*x^3-496*x^2-320*x-80)*exp(x)^2+(-12*x^8+48*x^7+216*x^6-1344*x^5+2128*x^4-832*x^3+320*x^2-960*x)*exp(x)+24*x^9-264*x^8+1104*x^7-2208*x^6+2272*x^5-1968*x^4+2560*x^3-1600*x^2+100*x-400)*ln(x-4)+(4*x^2-16*x)*exp(x)^4+(-12*x^4+64*x^3-56*x^2-32*x)*exp(x)^3+(12*x^6-72*x^5+72*x^4+144*x^3-152*x^2-170*x-40)*exp(x)^2+(-4*x^8+16*x^7+72*x^6-448*x^5+696*x^4-204*x^3+120*x^2-480*x)*exp(x)+8*x^9-88*x^8+368*x^7-736*x^6+774*x^5-816*x^4+1240*x^3-800*x^2-100*x-400)/((25*x^2-100*x)*ln(x-4)^3+(75*x^2-300*x)*ln(x-4)^2+(75*x^2-300*x)*ln(x-4)+25*x^2-100*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{8}}{25}-\frac{8 x^{7}}{25}+\frac{24 x^{6}}{25}-\frac{32 x^{5}}{25}+\frac{16 x^{4}}{25}+\frac{{\mathrm e}^{4 x}}{25}+\frac{8 x \,{\mathrm e}^{3 x}}{25}-\frac{4 x^{2} {\mathrm e}^{3 x}}{25}+\frac{24 \,{\mathrm e}^{2 x} x^{2}}{25}-\frac{24 \,{\mathrm e}^{2 x} x^{3}}{25}+\frac{6 \,{\mathrm e}^{2 x} x^{4}}{25}+\frac{32 \,{\mathrm e}^{x} x^{3}}{25}-\frac{48 \,{\mathrm e}^{x} x^{4}}{25}+\frac{24 x^{5} {\mathrm e}^{x}}{25}-\frac{4 x^{6} {\mathrm e}^{x}}{25}+\frac{20+8 x^{2} \ln \left(x \right)-4 x^{2} {\mathrm e}^{x} \ln \left(x \right)+8 x \,{\mathrm e}^{x} \ln \left(x \right)+4 \,{\mathrm e}^{2 x}+20 \ln \left(x \right)+5 \ln \left(x \right)^{2}+4 x^{4}-16 x^{3}+16 x^{2}-8 x^{3} \ln \left(x \right)+16 x^{2} \ln \left(x -4\right)-16 x^{3} \ln \left(x -4\right)+2 x^{4} \ln \left(x \right)+16 \,{\mathrm e}^{x} x -8 \,{\mathrm e}^{x} x^{2}-4 \ln \left(x \right) {\mathrm e}^{x} \ln \left(x -4\right) x^{2}+8 \ln \left(x \right) {\mathrm e}^{x} \ln \left(x -4\right) x +4 \ln \left(x -4\right) {\mathrm e}^{2 x}+2 \,{\mathrm e}^{2 x} \ln \left(x \right)+4 \ln \left(x -4\right) x^{4}+2 \ln \left(x \right) \ln \left(x -4\right) x^{4}-8 \ln \left(x \right) \ln \left(x -4\right) x^{3}+8 \ln \left(x \right) \ln \left(x -4\right) x^{2}-8 \,{\mathrm e}^{x} \ln \left(x -4\right) x^{2}+16 \,{\mathrm e}^{x} \ln \left(x -4\right) x +2 \,{\mathrm e}^{2 x} \ln \left(x \right) \ln \left(x -4\right)}{5 \left(\ln \left(x -4\right)+1\right)^{2}}$&$330$\\ \hline \end{longtable}"," ",0,"1/25*x^8-8/25*x^7+24/25*x^6-32/25*x^5+16/25*x^4+1/25*exp(4*x)+8/25*x*exp(3*x)-4/25*x^2*exp(3*x)+24/25*exp(2*x)*x^2-24/25*exp(2*x)*x^3+6/25*exp(2*x)*x^4+32/25*exp(x)*x^3-48/25*exp(x)*x^4+24/25*x^5*exp(x)-4/25*x^6*exp(x)+1/5*(20+8*x^2*ln(x)-4*x^2*exp(x)*ln(x)+8*x*exp(x)*ln(x)+4*exp(2*x)+20*ln(x)+5*ln(x)^2+4*x^4-16*x^3+16*x^2-8*x^3*ln(x)+16*x^2*ln(x-4)-16*x^3*ln(x-4)+2*x^4*ln(x)+16*exp(x)*x-8*exp(x)*x^2-4*ln(x)*exp(x)*ln(x-4)*x^2+8*ln(x)*exp(x)*ln(x-4)*x+4*ln(x-4)*exp(2*x)+2*exp(2*x)*ln(x)+4*ln(x-4)*x^4+2*ln(x)*ln(x-4)*x^4-8*ln(x)*ln(x-4)*x^3+8*ln(x)*ln(x-4)*x^2-8*exp(x)*ln(x-4)*x^2+16*exp(x)*ln(x-4)*x+2*exp(2*x)*ln(x)*ln(x-4))/(ln(x-4)+1)^2","B"
5751,1,26,25,0.118000," ","int(9/25*(2*x^6-20*x^5+36*x^4+70*x^3+32*x^2-40*x-32)*ln(2)^2*exp(x^2-2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{9 \left(x^{2}-5 x -4\right)^{2} \ln \left(2\right)^{2} {\mathrm e}^{x^{2}-2}}{25 x^{2}}$&$26$\\ risch&$\frac{9 \ln \left(2\right)^{2} \left(x^{4}-10 x^{3}+17 x^{2}+40 x +16\right) {\mathrm e}^{x^{2}-2}}{25 x^{2}}$&$34$\\ norman&$\frac{\frac{144 \ln \left(2\right)^{2} {\mathrm e}^{x^{2}-2}}{25}+\frac{72 x \ln \left(2\right)^{2} {\mathrm e}^{x^{2}-2}}{5}+\frac{153 x^{2} \ln \left(2\right)^{2} {\mathrm e}^{x^{2}-2}}{25}-\frac{18 x^{3} \ln \left(2\right)^{2} {\mathrm e}^{x^{2}-2}}{5}+\frac{9 x^{4} \ln \left(2\right)^{2} {\mathrm e}^{x^{2}-2}}{25}}{x^{2}}$&$76$\\ default&$\frac{18 \ln \left(2\right)^{2} \left({\mathrm e}^{-2} \left(\frac{x^{2} {\mathrm e}^{x^{2}}}{2}-\frac{{\mathrm e}^{x^{2}}}{2}\right)+\frac{35 \,{\mathrm e}^{-2} \sqrt{\pi}\, \erfi \left(x \right)}{2}-16 \,{\mathrm e}^{-2} \left(-\frac{{\mathrm e}^{x^{2}}}{2 x^{2}}-\frac{\expIntegralEi \left(1, -x^{2}\right)}{2}\right)-20 \,{\mathrm e}^{-2} \left(-\frac{{\mathrm e}^{x^{2}}}{x}+\sqrt{\pi}\, \erfi \left(x \right)\right)-8 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -x^{2}\right)+9 \,{\mathrm e}^{x^{2}} {\mathrm e}^{-2}-10 \,{\mathrm e}^{-2} \left(\frac{{\mathrm e}^{x^{2}} x}{2}-\frac{\sqrt{\pi}\, \erfi \left(x \right)}{4}\right)\right)}{25}$&$117$\\ meijerg&$\frac{144 \ln \left(2\right)^{2} {\mathrm e}^{-2} \left(-\frac{2 x^{2}+2}{2 x^{2}}+\frac{{\mathrm e}^{x^{2}}}{x^{2}}+\ln \left(-x^{2}\right)+\expIntegralEi \left(1, -x^{2}\right)+1-2 \ln \left(x \right)-i \pi +\frac{1}{x^{2}}\right)}{25}+\frac{9 \ln \left(2\right)^{2} {\mathrm e}^{-2} \left(1-\frac{\left(-2 x^{2}+2\right) {\mathrm e}^{x^{2}}}{2}\right)}{25}-\frac{18 i \ln \left(2\right)^{2} {\mathrm e}^{-2} \left(-i {\mathrm e}^{x^{2}} x +\frac{i \sqrt{\pi}\, \erfi \left(x \right)}{2}\right)}{5}-\frac{162 \ln \left(2\right)^{2} {\mathrm e}^{-2} \left(1-{\mathrm e}^{x^{2}}\right)}{25}+\frac{63 \ln \left(2\right)^{2} {\mathrm e}^{-2} \sqrt{\pi}\, \erfi \left(x \right)}{5}+\frac{144 \ln \left(2\right)^{2} {\mathrm e}^{-2} \left(-\ln \left(-x^{2}\right)-\expIntegralEi \left(1, -x^{2}\right)+2 \ln \left(x \right)+i \pi \right)}{25}-\frac{36 i \ln \left(2\right)^{2} {\mathrm e}^{-2} \left(\frac{2 i {\mathrm e}^{x^{2}}}{x}-2 i \sqrt{\pi}\, \erfi \left(x \right)\right)}{5}$&$196$\\ \hline \end{longtable}"," ",0,"9/25*(x^2-5*x-4)^2*ln(2)^2*exp(x^2-2)/x^2","A"
5752,1,9,9,0.017000," ","int((-4*x+4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(x \right)-4 x$&$9$\\ norman&$4 \ln \left(x \right)-4 x$&$9$\\ risch&$4 \ln \left(x \right)-4 x$&$9$\\ \hline \end{longtable}"," ",0,"4*ln(x)-4*x","A"
5753,1,41,27,0.127000," ","int(1/125*(-250*ln(3)+250*x+250)*exp(ln(3)^2+(-2*x-2)*ln(3)+x^2+2*x+1)-4*x^3-18/5*x^2+28/25*x-6/125,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{6 x}{125}+\frac{14 x^{2}}{25}-\frac{6 x^{3}}{5}-x^{4}+{\mathrm e}^{\ln \left(3\right)^{2}+\left(-2 x -2\right) \ln \left(3\right)+x^{2}+2 x +1}$&$41$\\ risch&$-\frac{6 x}{125}+\frac{14 x^{2}}{25}-\frac{6 x^{3}}{5}-x^{4}+3^{-2 x -2} {\mathrm e}^{\ln \left(3\right)^{2}+1+x^{2}+2 x}$&$41$\\ default&$-\frac{6 x}{125}+\frac{14 x^{2}}{25}-\frac{6 x^{3}}{5}-x^{4}+{\mathrm e}^{x^{2}+\left(-2 \ln \left(3\right)+2\right) x +\ln \left(3\right)^{2}-2 \ln \left(3\right)+1}$&$42$\\ \hline \end{longtable}"," ",0,"-6/125*x+14/25*x^2-6/5*x^3-x^4+exp(ln(3)^2+(-2*x-2)*ln(3)+x^2+2*x+1)","A"
5754,1,22,21,0.148000," ","int(((-x^3-4*x^2+98*x+4)*exp(1/2*x^2)+8*x+16)/(x^4+8*x^3-176*x^2-768*x+9216),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-4-{\mathrm e}^{\frac{x^{2}}{2}}}{x^{2}+4 x -96}$&$22$\\ risch&$-\frac{4}{x^{2}+4 x -96}-\frac{{\mathrm e}^{\frac{x^{2}}{2}}}{x^{2}+4 x -96}$&$32$\\ \hline \end{longtable}"," ",0,"(-4-exp(1/2*x^2))/(x^2+4*x-96)","A"
5755,1,13,13,0.016000," ","int(1/4*((4*x^4+8*x^3)*exp(x)+3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{3}{8 x^{2}}+{\mathrm e}^{x} x +{\mathrm e}^{x}$&$13$\\ risch&$-\frac{3}{8 x^{2}}+\frac{\left(4 x +4\right) {\mathrm e}^{x}}{4}$&$16$\\ norman&$\frac{-\frac{3}{8}+{\mathrm e}^{x} x^{2}+{\mathrm e}^{x} x^{3}}{x^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"-3/8/x^2+exp(x)*x+exp(x)","A"
5756,0,0,23,0.034000," ","int(((2*x^3+17*x^2+20*x-75)*ln(3)-x^2-10*x)/((x^4+7*x^3-5*x^2-75*x)*ln(3)-x^3-5*x^2)/ln(((x^3+2*x^2-15*x)*ln(3)-x^2)/(5+x))/ln(5*ln(((x^3+2*x^2-15*x)*ln(3)-x^2)/(5+x))),x)","\[\int \frac{\left(2 x^{3}+17 x^{2}+20 x -75\right) \ln \left(3\right)-x^{2}-10 x}{\left(\left(x^{4}+7 x^{3}-5 x^{2}-75 x \right) \ln \left(3\right)-x^{3}-5 x^{2}\right) \ln \left(\frac{\left(x^{3}+2 x^{2}-15 x \right) \ln \left(3\right)-x^{2}}{5+x}\right) \ln \left(5 \ln \left(\frac{\left(x^{3}+2 x^{2}-15 x \right) \ln \left(3\right)-x^{2}}{5+x}\right)\right)}\, dx\]"," ",0,"int(((2*x^3+17*x^2+20*x-75)*ln(3)-x^2-10*x)/((x^4+7*x^3-5*x^2-75*x)*ln(3)-x^3-5*x^2)/ln(((x^3+2*x^2-15*x)*ln(3)-x^2)/(5+x))/ln(5*ln(((x^3+2*x^2-15*x)*ln(3)-x^2)/(5+x))),x)","F"
5757,1,19,19,0.257000," ","int(((-2*x^3-4*x)*exp(-x^2-3)*ln(x^2+2)-2*x)/(x^2+2)/ln(x^2+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-x^{2}-3}-\ln \left(\ln \left(x^{2}+2\right)\right)$&$19$\\ norman&${\mathrm e}^{-x^{2}-3}-\ln \left(\ln \left(x^{2}+2\right)\right)$&$19$\\ risch&${\mathrm e}^{-x^{2}-3}-\ln \left(\ln \left(x^{2}+2\right)\right)$&$19$\\ \hline \end{longtable}"," ",0,"exp(-x^2-3)-ln(ln(x^2+2))","A"
5758,1,18,16,0.109000," ","int(1/5*(20*x*ln(2)+5)*exp(2*x*ln(2))^2+1/5*(60*x*ln(2)+30)*exp(2*x*ln(2))+46/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{46 x}{5}+x 4^{2 x}+6 \,4^{x} x$&$18$\\ default&$\frac{46 x}{5}+x \,{\mathrm e}^{4 x \ln \left(2\right)}+6 \,{\mathrm e}^{2 x \ln \left(2\right)} x$&$24$\\ norman&$\frac{46 x}{5}+x \,{\mathrm e}^{4 x \ln \left(2\right)}+6 \,{\mathrm e}^{2 x \ln \left(2\right)} x$&$24$\\ derivativedivides&$\frac{92 x \ln \left(2\right)+10 \ln \left(2\right) {\mathrm e}^{4 x \ln \left(2\right)} x +60 \ln \left(2\right) {\mathrm e}^{2 x \ln \left(2\right)} x}{10 \ln \left(2\right)}$&$37$\\ \hline \end{longtable}"," ",0,"46/5*x+x*(4^x)^2+6*4^x*x","A"
5759,1,36,29,0.062000," ","int((((-640*x^4-320*x^3+56*x^2+24*x)*exp(x)^2+320*x^4+160*x^3-28*x^2-12*x)*exp(-exp(x)^2+x)+320*x^4+160*x^3-28*x^2+84*x+12)*exp(exp(-exp(x)^2+x)+2+x)/(16*x^4+8*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \left(20 x^{2}+5 x -3\right) {\mathrm e}^{{\mathrm e}^{x -{\mathrm e}^{2 x}}+2+x}}{x \left(4 x +1\right)}$&$36$\\ \hline \end{longtable}"," ",0,"4/x*(20*x^2+5*x-3)/(4*x+1)*exp(exp(x-exp(2*x))+2+x)","A"
5760,1,24,27,0.046000," ","int(((6*x^2+6*x-3)*exp(x^2+x)+(6*x^2+3*x-3)*exp(x^2)-15*x+15)/(x*exp(x^2+x)+exp(x^2)*x-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$3 x -3 \ln \left(x \right)+3 \ln \left({\mathrm e}^{x^{2}}+{\mathrm e}^{x^{2}+x}-5\right)$&$24$\\ risch&$3 x -3 \ln \left(x \right)+3 \ln \left({\mathrm e}^{x^{2}}+{\mathrm e}^{\left(x +1\right) x}-5\right)$&$24$\\ \hline \end{longtable}"," ",0,"3*x-3*ln(x)+3*ln(exp(x^2)+exp(x^2+x)-5)","A"
5761,1,11,11,0.027000," ","int((exp(x)*x-4*x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)-4 x +{\mathrm e}^{x}$&$11$\\ norman&$-\ln \left(x \right)-4 x +{\mathrm e}^{x}$&$11$\\ risch&$-\ln \left(x \right)-4 x +{\mathrm e}^{x}$&$11$\\ \hline \end{longtable}"," ",0,"-ln(x)-4*x+exp(x)","A"
5762,1,31,27,0.330000," ","int(((exp(5+2*x)*exp(exp(5)-1)-1)*ln((-exp(5+2*x)*exp(exp(5)-1)+1)/exp(exp(5)-1))-15*exp(5+2*x)*exp(exp(5)-1)+5)/((5*exp(5+2*x)*exp(exp(5)-1)-5)*ln((-exp(5+2*x)*exp(exp(5)-1)+1)/exp(exp(5)-1))-25*exp(5+2*x)*exp(exp(5)-1)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{5}-\ln \left(\ln \left(\left(-{\mathrm e}^{{\mathrm e}^{5}+2 x +4}+1\right) {\mathrm e}^{1-{\mathrm e}^{5}}\right)-5\right)$&$31$\\ norman&$\frac{x}{5}-\ln \left(\ln \left(\left(-{\mathrm e}^{5+2 x} {\mathrm e}^{{\mathrm e}^{5}-1}+1\right) {\mathrm e}^{1-{\mathrm e}^{5}}\right)-5\right)$&$34$\\ \hline \end{longtable}"," ",0,"1/5*x-ln(ln((-exp(exp(5)+2*x+4)+1)*exp(1-exp(5)))-5)","A"
5763,1,40,26,0.059000," ","int(((20*x+20)*ln(x)^3+(40*x^2+180*x+160)*ln(x)^2+(20*x^3+280*x^2+520*x+200)*ln(x)+100*x^3+420*x^2+409*x-11)/(20*x*ln(x)^3+(40*x^2+100*x)*ln(x)^2+(20*x^3+220*x^2)*ln(x)+100*x^3+100*x^2-11*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x \right)+\ln \left(\ln \left(x \right)^{3}+\left(5+2 x \right) \ln \left(x \right)^{2}+\left(x^{2}+11 x \right) \ln \left(x \right)+5 x^{2}+5 x -\frac{11}{20}\right)$&$40$\\ norman&$x +\ln \left(x \right)+\ln \left(20 \ln \left(x \right)^{3}+40 x \ln \left(x \right)^{2}+20 x^{2} \ln \left(x \right)+100 \ln \left(x \right)^{2}+220 x \ln \left(x \right)+100 x^{2}+100 x -11\right)$&$47$\\ \hline \end{longtable}"," ",0,"x+ln(x)+ln(ln(x)^3+(5+2*x)*ln(x)^2+(x^2+11*x)*ln(x)+5*x^2+5*x-11/20)","A"
5764,1,26,25,0.117000," ","int((((-4*x^2-11*x-6)*ln((2+x)/x)+8*x+6)*ln(3+4*x)+(-4*x^2-8*x)*ln((2+x)/x))/(4*x^3+11*x^2+6*x)/ln((2+x)/x)/ln(3+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)-\ln \left(\ln \left(3+4 x \right)\right)-\ln \left(\ln \left(\frac{2}{x}+1\right)\right)$&$26$\\ risch&$-\ln \left(x \right)-\ln \left(\ln \left(2+x \right)-\frac{i \left(\pi  \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{3}-\pi  \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)-\pi  \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)+\pi  \,\mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(2+x \right)\right)-2 i \ln \left(x \right)\right)}{2}\right)-\ln \left(\ln \left(3+4 x \right)\right)$&$116$\\ \hline \end{longtable}"," ",0,"-ln(x)-ln(ln(3+4*x))-ln(ln(2/x+1))","A"
5765,0,0,27,0.066000," ","int(((-exp(5)+x)*ln(9*x^4*exp(5)-9*x^5)*ln(1/5*ln(9*x^4*exp(5)-9*x^5))+(-x^2*exp(5)+x^3)*ln(9*x^4*exp(5)-9*x^5)+4*exp(5)-5*x)/((exp(5)-x)*ln(9*x^4*exp(5)-9*x^5)*ln(1/5*ln(9*x^4*exp(5)-9*x^5))^2+((-2*x^2-4*x)*exp(5)+2*x^3+4*x^2)*ln(9*x^4*exp(5)-9*x^5)*ln(1/5*ln(9*x^4*exp(5)-9*x^5))+((x^4+4*x^3+4*x^2)*exp(5)-x^5-4*x^4-4*x^3)*ln(9*x^4*exp(5)-9*x^5)),x)","\[\int \frac{\left(-{\mathrm e}^{5}+x \right) \ln \left(9 x^{4} {\mathrm e}^{5}-9 x^{5}\right) \ln \left(\frac{\ln \left(9 x^{4} {\mathrm e}^{5}-9 x^{5}\right)}{5}\right)+\left(-x^{2} {\mathrm e}^{5}+x^{3}\right) \ln \left(9 x^{4} {\mathrm e}^{5}-9 x^{5}\right)+4 \,{\mathrm e}^{5}-5 x}{\left({\mathrm e}^{5}-x \right) \ln \left(9 x^{4} {\mathrm e}^{5}-9 x^{5}\right) \ln \left(\frac{\ln \left(9 x^{4} {\mathrm e}^{5}-9 x^{5}\right)}{5}\right)^{2}+\left(\left(-2 x^{2}-4 x \right) {\mathrm e}^{5}+2 x^{3}+4 x^{2}\right) \ln \left(9 x^{4} {\mathrm e}^{5}-9 x^{5}\right) \ln \left(\frac{\ln \left(9 x^{4} {\mathrm e}^{5}-9 x^{5}\right)}{5}\right)+\left(\left(x^{4}+4 x^{3}+4 x^{2}\right) {\mathrm e}^{5}-x^{5}-4 x^{4}-4 x^{3}\right) \ln \left(9 x^{4} {\mathrm e}^{5}-9 x^{5}\right)}\, dx\]"," ",0,"int(((-exp(5)+x)*ln(9*x^4*exp(5)-9*x^5)*ln(1/5*ln(9*x^4*exp(5)-9*x^5))+(-x^2*exp(5)+x^3)*ln(9*x^4*exp(5)-9*x^5)+4*exp(5)-5*x)/((exp(5)-x)*ln(9*x^4*exp(5)-9*x^5)*ln(1/5*ln(9*x^4*exp(5)-9*x^5))^2+((-2*x^2-4*x)*exp(5)+2*x^3+4*x^2)*ln(9*x^4*exp(5)-9*x^5)*ln(1/5*ln(9*x^4*exp(5)-9*x^5))+((x^4+4*x^3+4*x^2)*exp(5)-x^5-4*x^4-4*x^3)*ln(9*x^4*exp(5)-9*x^5)),x)","F"
5766,1,14,29,0.046000," ","int((-11*ln(5)-11)/exp(11*x-10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left(\ln \left(5\right)+1\right) {\mathrm e}^{-11 x +10}$&$14$\\ norman&$\left(\ln \left(5\right)+1\right) {\mathrm e}^{-11 x +10}$&$14$\\ derivativedivides&$-\left(-\ln \left(5\right)-1\right) {\mathrm e}^{-11 x +10}$&$17$\\ default&$-\frac{\left(-11 \ln \left(5\right)-11\right) {\mathrm e}^{-11 x +10}}{11}$&$17$\\ risch&${\mathrm e}^{-11 x +10} \ln \left(5\right)+{\mathrm e}^{-11 x +10}$&$17$\\ meijerg&$-\ln \left(5\right) {\mathrm e}^{-11 x +11 x \,{\mathrm e}^{10}} \left(1-{\mathrm e}^{-11 x \,{\mathrm e}^{10}}\right)-{\mathrm e}^{-11 x +11 x \,{\mathrm e}^{10}} \left(1-{\mathrm e}^{-11 x \,{\mathrm e}^{10}}\right)$&$48$\\ \hline \end{longtable}"," ",0,"(ln(5)+1)/exp(11*x-10)","A"
5767,1,25,25,0.222000," ","int((((150*x^4+25)*ln(2)-150*x^5-25*x)*ln(1/5*ln(2)-1/5*x)+(-750*x^4-125)*ln(2)+800*x^5+100*x)/((4*x^2*ln(2)-4*x^3)*ln(1/5*ln(2)-1/5*x)^2+(-40*x^2*ln(2)+40*x^3)*ln(1/5*ln(2)-1/5*x)+100*x^2*ln(2)-100*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{25}{4}+\frac{25 x^{4}}{2}}{x \left(\ln \left(\frac{\ln \left(2\right)}{5}-\frac{x}{5}\right)-5\right)}$&$25$\\ risch&$\frac{-\frac{25}{4}+\frac{25 x^{4}}{2}}{x \left(\ln \left(\frac{\ln \left(2\right)}{5}-\frac{x}{5}\right)-5\right)}$&$26$\\ \hline \end{longtable}"," ",0,"(-25/4+25/2*x^4)/x/(ln(1/5*ln(2)-1/5*x)-5)","A"
5768,1,13,18,0.046000," ","int(1/25*(2*x-2)/x^3/exp(12)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-24} \left(1-2 x \right)}{25 x^{2}}$&$13$\\ gosper&$-\frac{\left(2 x -1\right) {\mathrm e}^{-24}}{25 x^{2}}$&$15$\\ default&$\frac{2 \,{\mathrm e}^{-24} \left(-\frac{1}{x}+\frac{1}{2 x^{2}}\right)}{25}$&$18$\\ norman&$\frac{\left(\frac{{\mathrm e}^{-12}}{25}-\frac{2 \,{\mathrm e}^{-12} x}{25}\right) {\mathrm e}^{-12}}{x^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"1/25*exp(-24)/x^2*(1-2*x)","A"
5769,1,994,24,1.327000," ","int(((x*ln(x^4)*ln(ln(x^4))+(exp(x)-4-x)*ln(x^4))*ln(x/(2*x*ln(ln(x^4))+2*exp(x)-2*x-8))+((1-x)*exp(x)-4)*ln(x^4)-4*x)/(x*ln(x^4)*ln(ln(x^4))+(exp(x)-4-x)*ln(x^4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(x \ln \left(4 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x^{3}\right)\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}\right)-x +{\mathrm e}^{x}-4\right)+x \ln \left(x \right)+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x \ln \left(4 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x^{3}\right)\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}\right)-x +{\mathrm e}^{x}-4}\right) \mathrm{csgn}\left(\frac{i x}{x \ln \left(4 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x^{3}\right)\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}\right)-x +{\mathrm e}^{x}-4}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x \ln \left(4 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x^{3}\right)\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}\right)-x +{\mathrm e}^{x}-4}\right) \mathrm{csgn}\left(\frac{i x}{x \ln \left(4 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x^{3}\right)\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}\right)-x +{\mathrm e}^{x}-4}\right) \mathrm{csgn}\left(i x \right)}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i x}{x \ln \left(4 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x^{3}\right)\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}\right)-x +{\mathrm e}^{x}-4}\right)^{2} \mathrm{csgn}\left(i x \right)}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i x}{x \ln \left(4 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x^{3}\right)\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}\right)-x +{\mathrm e}^{x}-4}\right)^{3}}{2}-x \ln \left(2\right)$&$994$\\ \hline \end{longtable}"," ",0,"-x*ln(x*ln(4*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^3)*(-csgn(I*x^3)+csgn(I*x^2))*(-csgn(I*x^3)+csgn(I*x))-1/2*I*Pi*csgn(I*x^4)*(-csgn(I*x^4)+csgn(I*x^3))*(-csgn(I*x^4)+csgn(I*x)))-x+exp(x)-4)+x*ln(x)+1/2*I*Pi*x*csgn(I/(x*ln(4*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^3)*(-csgn(I*x^3)+csgn(I*x^2))*(-csgn(I*x^3)+csgn(I*x))-1/2*I*Pi*csgn(I*x^4)*(-csgn(I*x^4)+csgn(I*x^3))*(-csgn(I*x^4)+csgn(I*x)))-x+exp(x)-4))*csgn(I*x/(x*ln(4*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^3)*(-csgn(I*x^3)+csgn(I*x^2))*(-csgn(I*x^3)+csgn(I*x))-1/2*I*Pi*csgn(I*x^4)*(-csgn(I*x^4)+csgn(I*x^3))*(-csgn(I*x^4)+csgn(I*x)))-x+exp(x)-4))^2-1/2*I*Pi*x*csgn(I/(x*ln(4*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^3)*(-csgn(I*x^3)+csgn(I*x^2))*(-csgn(I*x^3)+csgn(I*x))-1/2*I*Pi*csgn(I*x^4)*(-csgn(I*x^4)+csgn(I*x^3))*(-csgn(I*x^4)+csgn(I*x)))-x+exp(x)-4))*csgn(I*x/(x*ln(4*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^3)*(-csgn(I*x^3)+csgn(I*x^2))*(-csgn(I*x^3)+csgn(I*x))-1/2*I*Pi*csgn(I*x^4)*(-csgn(I*x^4)+csgn(I*x^3))*(-csgn(I*x^4)+csgn(I*x)))-x+exp(x)-4))*csgn(I*x)+1/2*I*Pi*x*csgn(I*x/(x*ln(4*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^3)*(-csgn(I*x^3)+csgn(I*x^2))*(-csgn(I*x^3)+csgn(I*x))-1/2*I*Pi*csgn(I*x^4)*(-csgn(I*x^4)+csgn(I*x^3))*(-csgn(I*x^4)+csgn(I*x)))-x+exp(x)-4))^2*csgn(I*x)-1/2*I*Pi*x*csgn(I*x/(x*ln(4*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^3)*(-csgn(I*x^3)+csgn(I*x^2))*(-csgn(I*x^3)+csgn(I*x))-1/2*I*Pi*csgn(I*x^4)*(-csgn(I*x^4)+csgn(I*x^3))*(-csgn(I*x^4)+csgn(I*x)))-x+exp(x)-4))^3-x*ln(2)","C"
5770,1,6,9,0.007000," ","int(4/5*ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 x \ln \left(3\right)}{5}$&$6$\\ norman&$\frac{4 x \ln \left(3\right)}{5}$&$6$\\ risch&$\frac{4 x \ln \left(3\right)}{5}$&$6$\\ \hline \end{longtable}"," ",0,"4/5*x*ln(3)","A"
5771,1,29,21,0.051000," ","int((-4*x^6*ln(x)^2+((-32*x^4+128*x^3)*exp(x)+8*x^6)*ln(x)+(128*x-448)*exp(x)^2-32*exp(x)*x^3)/x^8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \ln \left(x \right)^{2}}{x}-\frac{32 \,{\mathrm e}^{x} \ln \left(x \right)}{x^{4}}+\frac{64 \,{\mathrm e}^{2 x}}{x^{7}}$&$29$\\ \hline \end{longtable}"," ",0,"4*ln(x)^2/x-32/x^4*exp(x)*ln(x)+64/x^7*exp(2*x)","A"
5772,1,32,24,0.342000," ","int(((-12*x^2-36*x)*exp(x)*ln(x^2+3*x)+(4*x^2+42*x+36)*exp(x)+6*x^4-54*x^2)/(3*x+9)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x^{2} \ln \left(x^{2}+3 x \right)+\frac{8 x^{2}}{3}+4 x -2 x^{3} {\mathrm e}^{-x}$&$32$\\ norman&$\left(-2 x^{3}+4 \,{\mathrm e}^{x} x +\frac{8 \,{\mathrm e}^{x} x^{2}}{3}-2 \,{\mathrm e}^{x} \ln \left(x^{2}+3 x \right) x^{2}\right) {\mathrm e}^{-x}$&$39$\\ risch&$-2 \ln \left(3+x \right) x^{2}-\frac{x \left(-3 i \pi  x \mathrm{csgn}\left(i x \left(3+x \right)\right)^{3} {\mathrm e}^{x}+3 i \pi  x \mathrm{csgn}\left(i x \left(3+x \right)\right)^{2} \mathrm{csgn}\left(i x \right) {\mathrm e}^{x}+3 i \pi  x \mathrm{csgn}\left(i x \left(3+x \right)\right)^{2} \mathrm{csgn}\left(i \left(3+x \right)\right) {\mathrm e}^{x}-3 i \pi  x \,\mathrm{csgn}\left(i x \left(3+x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(3+x \right)\right) {\mathrm e}^{x}+6 x \,{\mathrm e}^{x} \ln \left(x \right)+6 x^{2}-8 \,{\mathrm e}^{x} x -12 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{3}$&$130$\\ \hline \end{longtable}"," ",0,"-2*x^2*ln(x^2+3*x)+8/3*x^2+4*x-2*x^3/exp(x)","A"
5773,1,37,30,0.279000," ","int((((-2*x^2-8)*exp((-x^2+2*x+4)/x)+2*x^2*ln(3)+4*x^3)*exp(exp((-x^2+2*x+4)/x)+x*ln(3)+x^2)^2+x^2*ln(ln(5))^2)/x^2/ln(ln(5))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{3^{2 x} {\mathrm e}^{2 \,{\mathrm e}^{-\frac{x^{2}-2 x -4}{x}}+2 x^{2}}}{\ln \left(\ln \left(5\right)\right)^{2}}$&$37$\\ norman&$\frac{\ln \left(\ln \left(5\right)\right) x^{2}+\frac{x \,{\mathrm e}^{2 \,{\mathrm e}^{\frac{-x^{2}+2 x +4}{x}}+2 x \ln \left(3\right)+2 x^{2}}}{\ln \left(\ln \left(5\right)\right)}}{x \ln \left(\ln \left(5\right)\right)}$&$51$\\ \hline \end{longtable}"," ",0,"x+1/ln(ln(5))^2*(3^x)^2*exp(2*exp(-(x^2-2*x-4)/x)+2*x^2)","A"
5774,1,27,25,0.077000," ","int(((x^3*ln(x)^4+(2*x^3+x^2)*ln(x)^3+(2*x-2)*ln(x)^2+(8*x-8)*ln(x)+6*x-6)*exp(1/x^2/ln(x)^2)+(x^4-2*x^3+x^2)*exp(3)*ln(x)^3)/(x^5-2*x^4+x^3)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right) {\mathrm e}^{3}-\frac{\left(3+\ln \left(x \right)\right) {\mathrm e}^{\frac{1}{x^{2} \ln \left(x \right)^{2}}}}{x -1}$&$27$\\ \hline \end{longtable}"," ",0,"ln(x)*exp(3)-(3+ln(x))/(x-1)*exp(1/x^2/ln(x)^2)","A"
5775,1,189,24,0.128000," ","int(((7*x-14)*ln(4-2*x)+(-7*x+14)*exp(1)-21*x^3+56*x^2-21*x)/((x^2-2*x)*ln(4-2*x)+(-x^2+2*x)*exp(1)-x^4+3*x^3-2*x^2)/ln(-x*ln(4-2*x)+x*exp(1)+x^3-x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{14 i}{\pi  \,\mathrm{csgn}\left(i \left(x^{2}+{\mathrm e}-\ln \left(4-2 x \right)-x \right)\right) \mathrm{csgn}\left(i x \left(x^{2}+{\mathrm e}-\ln \left(4-2 x \right)-x \right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x^{2}+{\mathrm e}-\ln \left(4-2 x \right)-x \right)\right) \mathrm{csgn}\left(i x \left(x^{2}+{\mathrm e}-\ln \left(4-2 x \right)-x \right)\right) \mathrm{csgn}\left(i x \right)-\pi  \mathrm{csgn}\left(i x \left(x^{2}+{\mathrm e}-\ln \left(4-2 x \right)-x \right)\right)^{3}+\pi  \mathrm{csgn}\left(i x \left(x^{2}+{\mathrm e}-\ln \left(4-2 x \right)-x \right)\right)^{2} \mathrm{csgn}\left(i x \right)-2 i \ln \left(x \right)-2 i \ln \left(x^{2}+{\mathrm e}-\ln \left(4-2 x \right)-x \right)}$&$189$\\ \hline \end{longtable}"," ",0,"14*I/(Pi*csgn(I*(x^2+exp(1)-ln(4-2*x)-x))*csgn(I*x*(x^2+exp(1)-ln(4-2*x)-x))^2-Pi*csgn(I*(x^2+exp(1)-ln(4-2*x)-x))*csgn(I*x*(x^2+exp(1)-ln(4-2*x)-x))*csgn(I*x)-Pi*csgn(I*x*(x^2+exp(1)-ln(4-2*x)-x))^3+Pi*csgn(I*x*(x^2+exp(1)-ln(4-2*x)-x))^2*csgn(I*x)-2*I*ln(x)-2*I*ln(x^2+exp(1)-ln(4-2*x)-x))","C"
5776,1,30,24,0.442000," ","int(((-36*exp(x-3)+4*x)*ln((-9*exp(x-3)+x)/exp(x-3))^2+(4*x-4)*exp(x-4))/(9*exp(x-4)*exp(x-3)-x*exp(x-4))/ln((-9*exp(x-3)+x)/exp(x-3))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{4}{\ln \left(\left(-9 \,{\mathrm e}^{x -3}+x \right) {\mathrm e}^{3-x}\right)}+4 \,{\mathrm e}^{-x +4}$&$30$\\ norman&$\frac{\left(-4 \,{\mathrm e}^{x -4}+4 \ln \left(\left(-9 \,{\mathrm e} \,{\mathrm e}^{x -4}+x \right) {\mathrm e}^{-1} {\mathrm e}^{-x +4}\right)\right) {\mathrm e}^{-x +4}}{\ln \left(\left(-9 \,{\mathrm e} \,{\mathrm e}^{x -4}+x \right) {\mathrm e}^{-1} {\mathrm e}^{-x +4}\right)}$&$63$\\ risch&$4 \,{\mathrm e}^{-x +4}-\frac{8 i}{2 \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x +4} \left(-{\mathrm e}^{x -3}+\frac{x}{9}\right)\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{x -3}+\frac{x}{9}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x +4}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x +4} \left(-{\mathrm e}^{x -3}+\frac{x}{9}\right)\right)+\pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{x -3}+\frac{x}{9}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x +4} \left(-{\mathrm e}^{x -3}+\frac{x}{9}\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x +4}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x +4} \left(-{\mathrm e}^{x -3}+\frac{x}{9}\right)\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{-x +4} \left(-{\mathrm e}^{x -3}+\frac{x}{9}\right)\right)^{3}-2 \pi +4 i \ln \left(3\right)+2 i \ln \left({\mathrm e}^{x -3}-\frac{x}{9}\right)-2 i \ln \left({\mathrm e}^{x -4}\right)-2 i}$&$214$\\ \hline \end{longtable}"," ",0,"-4/ln((-9*exp(x-3)+x)/exp(x-3))+4/exp(x-4)","A"
5777,1,24,22,0.055000," ","int((-x^2*exp(x^2)^2+3*(-4*x^4+x^2)*ln(2)-8*x^2-2)/x^2/exp(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{\left(3 x^{2} \ln \left(2\right)+2\right) {\mathrm e}^{-2 x^{2}}}{x}$&$24$\\ default&$-x +\frac{2 \,{\mathrm e}^{-2 x^{2}}}{x}+3 \ln \left(2\right) x \,{\mathrm e}^{-2 x^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"-x+(3*x^2*ln(2)+2)/x*exp(-2*x^2)","A"
5778,1,26,31,0.087000," ","int(((-x^4+30*x^3-25*x^2)*exp(1)+75*x-250)/(16*x^5-160*x^4+400*x^3)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-1} \left(-\frac{5 x^{2} {\mathrm e}}{4}-\frac{25}{16}\right)}{x^{2} \left(x -5\right)}-\frac{\ln \left(x \right)}{16}$&$26$\\ norman&$\frac{-\frac{5 x^{2}}{4}-\frac{25 \,{\mathrm e}^{-1}}{16}}{x^{2} \left(x -5\right)}-\frac{\ln \left(x \right)}{16}$&$27$\\ default&$\frac{{\mathrm e}^{-1} \left(\frac{5}{x^{2}}+\frac{1}{x}-{\mathrm e} \ln \left(x \right)-\frac{20 \,{\mathrm e}+1}{x -5}\right)}{16}$&$35$\\ \hline \end{longtable}"," ",0,"exp(-1)*(-5/4*x^2*exp(1)-25/16)/x^2/(x-5)-1/16*ln(x)","A"
5779,1,173,34,0.296000," ","int(((2*x^3-11*x^2+4*x+5)*ln((x^3-6*x^2+5*x)/exp(2))+(2*x^7-8*x^6-12*x^5+8*x^4+10*x^3)*exp(x^2)-x^5+4*x^4+3*x^3+5*x^2+2*x-5)/(x^6-4*x^5-6*x^4+4*x^3+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x^{2}-6 x +5\right)}{x \left(x +1\right)}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(x^{2}-6 x +5\right)\right) \mathrm{csgn}\left(i x \left(x^{2}-6 x +5\right)\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(x^{2}-6 x +5\right)\right) \mathrm{csgn}\left(i x \left(x^{2}-6 x +5\right)\right) \mathrm{csgn}\left(i x \right)-4+i \pi  \mathrm{csgn}\left(i x \left(x^{2}-6 x +5\right)\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \mathrm{csgn}\left(i x \left(x^{2}-6 x +5\right)\right)^{3}+2 x^{2} \ln \left(x \right)-2 x^{2} {\mathrm e}^{x^{2}}+2 x \ln \left(x \right)-2 \,{\mathrm e}^{x^{2}} x +2 \ln \left(x \right)}{2 \left(x +1\right) x}$&$173$\\ \hline \end{longtable}"," ",0,"-1/x/(x+1)*ln(x^2-6*x+5)-1/2*(I*Pi*csgn(I*(x^2-6*x+5))*csgn(I*x*(x^2-6*x+5))^2-I*Pi*csgn(I*(x^2-6*x+5))*csgn(I*x*(x^2-6*x+5))*csgn(I*x)-4+I*Pi*csgn(I*x*(x^2-6*x+5))^2*csgn(I*x)-I*Pi*csgn(I*x*(x^2-6*x+5))^3+2*x^2*ln(x)-2*x^2*exp(x^2)+2*x*ln(x)-2*exp(x^2)*x+2*ln(x))/(x+1)/x","C"
5780,1,138,23,0.375000," ","int((((-4*x^3-15*x^2+8*x+30)*ln(-x^3+2*x)-6*x^3-18*x^2+4*x+12)*ln(x)^3+(3*x^3+9*x^2-6*x-18)*ln(-x^3+2*x)*ln(x)^2)/(x^8-2*x^6)/ln(-x^3+2*x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \left(3+x \right) \ln \left(x \right)^{3}}{x^{5} \left(2 i \pi +2 \ln \left(x \right)+2 \ln \left(x^{2}-2\right)+i \pi  \mathrm{csgn}\left(i x \left(x^{2}-2\right)\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \mathrm{csgn}\left(i x \left(x^{2}-2\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}-2\right)\right)-i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}-2\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x^{2}-2\right)\right)+i \pi  \mathrm{csgn}\left(i x \left(x^{2}-2\right)\right)^{3}-2 i \pi  \mathrm{csgn}\left(i x \left(x^{2}-2\right)\right)^{2}\right)^{2}}$&$138$\\ \hline \end{longtable}"," ",0,"4*(3+x)*ln(x)^3/x^5/(2*I*Pi+2*ln(x)+2*ln(x^2-2)+I*Pi*csgn(I*x*(x^2-2))^2*csgn(I*x)+I*Pi*csgn(I*x*(x^2-2))^2*csgn(I*(x^2-2))-I*Pi*csgn(I*x*(x^2-2))*csgn(I*x)*csgn(I*(x^2-2))+I*Pi*csgn(I*x*(x^2-2))^3-2*I*Pi*csgn(I*x*(x^2-2))^2)^2","C"
5781,1,18,17,0.058000," ","int(1/5*(-exp(exp(255*exp(3)^2))+3*x^4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{4}+{\mathrm e}^{{\mathrm e}^{255 \,{\mathrm e}^{6}}}}{5 x}$&$18$\\ default&$\frac{x^{3}}{5}+\frac{{\mathrm e}^{{\mathrm e}^{255 \,{\mathrm e}^{6}}}}{5 x}$&$18$\\ risch&$\frac{x^{3}}{5}+\frac{{\mathrm e}^{{\mathrm e}^{255 \,{\mathrm e}^{6}}}}{5 x}$&$18$\\ norman&$\frac{\frac{x^{4}}{5}+\frac{{\mathrm e}^{{\mathrm e}^{255 \,{\mathrm e}^{6}}}}{5}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"1/5*(x^4+exp(exp(255*exp(3)^2)))/x","A"
5782,1,92,19,0.089000," ","int((((-2*x^2+x)*exp(x^2)-3*x)*ln(exp(x)*x)+(x+1)*exp(x^2)-3*x-3)/(exp(x^2)*x-3*x)/ln(exp(x)*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\ln \left({\mathrm e}^{x^{2}}-3\right)+\ln \left(\ln \left({\mathrm e}^{x}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+\pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}+2 i \ln \left(x \right)\right)}{2}\right)$&$92$\\ \hline \end{longtable}"," ",0,"x-ln(exp(x^2)-3)+ln(ln(exp(x))-1/2*I*(Pi*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))-Pi*csgn(I*x)*csgn(I*x*exp(x))^2-Pi*csgn(I*exp(x))*csgn(I*x*exp(x))^2+Pi*csgn(I*x*exp(x))^3+2*I*ln(x)))","C"
5783,1,13,14,0.153000," ","int(1/3*(9*x^2*exp(4)^2-2)*exp(1/9/x^2/exp(4)^2)*exp(3*x*exp(1/9/x^2/exp(4)^2))/x^2/exp(4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{3 x \,{\mathrm e}^{\frac{{\mathrm e}^{-8}}{9 x^{2}}}}$&$13$\\ norman&${\mathrm e}^{3 x \,{\mathrm e}^{\frac{{\mathrm e}^{-8}}{9 x^{2}}}}$&$15$\\ \hline \end{longtable}"," ",0,"exp(3*x*exp(1/9/x^2*exp(-8)))","A"
5784,1,50,33,0.066000," ","int(((-32*x^3-48*x^2-18*x)*ln(x)^2+(32*x^3-112*x^2-222*x-90)*ln(x)+(4*x^4-60*x^3+300*x^2-500*x)*ln(5-x)^2+(-8*x^4+74*x^3-140*x^2-150*x)*ln(5-x)+16*x^5-216*x^4+849*x^3-335*x^2-2325*x-1125)/(16*x^6-216*x^5+849*x^4-335*x^3-2325*x^2-1125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(5-x \right)^{2}}{3+4 x}+\frac{x^{2} \ln \left(x \right)-10 x \ln \left(x \right)+\ln \left(x \right)^{2}+25 \ln \left(x \right)}{x^{2}-10 x +25}$&$50$\\ \hline \end{longtable}"," ",0,"-ln(5-x)^2/(3+4*x)+(x^2*ln(x)-10*x*ln(x)+ln(x)^2+25*ln(x))/(x^2-10*x+25)","A"
5785,1,11,11,0.027000," ","int(-exp(-x+7)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +{\mathrm e}^{-x +7}$&$11$\\ norman&$-x +{\mathrm e}^{-x +7}$&$11$\\ risch&$-x +{\mathrm e}^{-x +7}$&$11$\\ derivativedivides&${\mathrm e}^{-x +7}+\ln \left({\mathrm e}^{-x +7}\right)$&$15$\\ \hline \end{longtable}"," ",0,"-x+exp(-x+7)","A"
5786,1,20,25,0.504000," ","int(10*x/(ln(4*x^2)^2+2*ln(1/x^2/exp(4))*ln(4*x^2)+ln(1/x^2/exp(4))^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{20 x^{2}}{-64+64 \ln \left(2\right)-16 \ln \left(2\right)^{2}}$&$20$\\ gosper&$\frac{5 x^{2}}{\ln \left(4 x^{2}\right)^{2}+2 \ln \left(\frac{{\mathrm e}^{-4}}{x^{2}}\right) \ln \left(4 x^{2}\right)+\ln \left(\frac{{\mathrm e}^{-4}}{x^{2}}\right)^{2}}$&$45$\\ \hline \end{longtable}"," ",0,"-20*x^2/(-64+64*ln(2)-16*ln(2)^2)","A"
5787,1,19,17,0.073000," ","int(((-2*x*exp(x)^2+3-x)*exp(exp(x)^2+x+26)+2*x)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-x -{\mathrm e}^{{\mathrm e}^{2 x}+x +26}}{x^{3}}$&$19$\\ risch&$-\frac{1}{x^{2}}-\frac{{\mathrm e}^{{\mathrm e}^{2 x}+x +26}}{x^{3}}$&$20$\\ \hline \end{longtable}"," ",0,"(-x-exp(exp(x)^2+x+26))/x^3","A"
5788,0,0,27,0.141000," ","int(((8*x^3-8*x^2+2*x+8)*ln(x^4-x^3+1/4*x^2+x)^2-32*x^3+24*x^2-4*x-8)/(4*x^4-4*x^3+x^2+4*x)/ln(x^4-x^3+1/4*x^2+x)^2/ln(x*exp(1/ln(x^4-x^3+1/4*x^2+x))),x)","\[\int \frac{\left(8 x^{3}-8 x^{2}+2 x +8\right) \ln \left(x^{4}-x^{3}+\frac{1}{4} x^{2}+x \right)^{2}-32 x^{3}+24 x^{2}-4 x -8}{\left(4 x^{4}-4 x^{3}+x^{2}+4 x \right) \ln \left(x^{4}-x^{3}+\frac{1}{4} x^{2}+x \right)^{2} \ln \left(x \,{\mathrm e}^{\frac{1}{\ln \left(x^{4}-x^{3}+\frac{1}{4} x^{2}+x \right)}}\right)}\, dx\]"," ",0,"int(((8*x^3-8*x^2+2*x+8)*ln(x^4-x^3+1/4*x^2+x)^2-32*x^3+24*x^2-4*x-8)/(4*x^4-4*x^3+x^2+4*x)/ln(x^4-x^3+1/4*x^2+x)^2/ln(x*exp(1/ln(x^4-x^3+1/4*x^2+x))),x)","F"
5789,1,26,25,0.027000," ","int((1250*x^3-2275*x^2-188*x-4)/(625*x^4-2325*x^3+2306*x^2+196*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(25 x^{3}-94 x^{2}+96 x +4\right)-\ln \left(25 x +1\right)$&$26$\\ norman&$\ln \left(25 x^{3}-94 x^{2}+96 x +4\right)-\ln \left(25 x +1\right)$&$26$\\ risch&$\ln \left(25 x^{3}-94 x^{2}+96 x +4\right)-\ln \left(25 x +1\right)$&$26$\\ \hline \end{longtable}"," ",0,"ln(25*x^3-94*x^2+96*x+4)-ln(25*x+1)","A"
5790,1,29,21,0.822000," ","int((((x-1)*exp(5)+x^3-3*x^2+x-1)*exp(x-147)+x^2*exp(5)^2+(2*x^4+2*x^2)*exp(5)+x^6+2*x^4-2*x^3+x^2)/(x^2*exp(5)^2+(2*x^4+2*x^2)*exp(5)+x^6+2*x^4+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{1}{1+x^{2}+{\mathrm e}^{5}}+\frac{{\mathrm e}^{x -147}}{x \left(1+x^{2}+{\mathrm e}^{5}\right)}$&$29$\\ norman&$\frac{x^{4}+x +\left({\mathrm e}^{5}+1\right) x^{2}+{\mathrm e}^{x -147}}{x \left(1+x^{2}+{\mathrm e}^{5}\right)}$&$31$\\ default&$\frac{2 x}{\left(4 \,{\mathrm e}^{5}+4\right) \left(1+x^{2}+{\mathrm e}^{5}\right)}+\frac{2 \arctan \left(\frac{x}{\sqrt{{\mathrm e}^{5}+1}}\right)}{\left(4 \,{\mathrm e}^{5}+4\right) \sqrt{{\mathrm e}^{5}+1}}+x +\frac{\left({\mathrm e}^{10}+2 \,{\mathrm e}^{5}+1\right) x}{2 \left({\mathrm e}^{5}+1\right) \left(1+x^{2}+{\mathrm e}^{5}\right)}-\frac{3 \arctan \left(\frac{x}{\sqrt{{\mathrm e}^{5}+1}}\right) {\mathrm e}^{10}}{2 \left({\mathrm e}^{5}+1\right)^{\frac{3}{2}}}-\frac{3 \arctan \left(\frac{x}{\sqrt{{\mathrm e}^{5}+1}}\right) {\mathrm e}^{5}}{\left({\mathrm e}^{5}+1\right)^{\frac{3}{2}}}-\frac{3 \arctan \left(\frac{x}{\sqrt{{\mathrm e}^{5}+1}}\right)}{2 \left({\mathrm e}^{5}+1\right)^{\frac{3}{2}}}+\frac{2 \,{\mathrm e}^{10} x}{\left(4 \,{\mathrm e}^{5}+4\right) \left(1+x^{2}+{\mathrm e}^{5}\right)}+\frac{2 \,{\mathrm e}^{10} \arctan \left(\frac{x}{\sqrt{{\mathrm e}^{5}+1}}\right)}{\left(4 \,{\mathrm e}^{5}+4\right) \sqrt{{\mathrm e}^{5}+1}}+{\mathrm e}^{-147} \left(\frac{{\mathrm e}^{x}}{2 \left({\mathrm e}^{5}+1\right) \left(1+x^{2}+{\mathrm e}^{5}\right)}-\frac{i \left(2 i \sqrt{{\mathrm e}^{5}+1}\, {\mathrm e}^{i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x +i \sqrt{{\mathrm e}^{5}+1}\right)+2 i \sqrt{{\mathrm e}^{5}+1}\, {\mathrm e}^{-i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x -i \sqrt{{\mathrm e}^{5}+1}\right)+{\mathrm e}^{5} {\mathrm e}^{i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x +i \sqrt{{\mathrm e}^{5}+1}\right)-{\mathrm e}^{5} {\mathrm e}^{-i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x -i \sqrt{{\mathrm e}^{5}+1}\right)+{\mathrm e}^{i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x +i \sqrt{{\mathrm e}^{5}+1}\right)-{\mathrm e}^{-i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x -i \sqrt{{\mathrm e}^{5}+1}\right)\right)}{4 \left({\mathrm e}^{5}+1\right)^{\frac{5}{2}}}-\frac{\expIntegralEi \left(1, -x \right)}{\left({\mathrm e}^{5}+1\right)^{2}}\right)+{\mathrm e}^{-147} \left(-\frac{{\mathrm e}^{x}}{2 \left(1+x^{2}+{\mathrm e}^{5}\right)}+\frac{i \left({\mathrm e}^{i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x +i \sqrt{{\mathrm e}^{5}+1}\right)-{\mathrm e}^{-i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x -i \sqrt{{\mathrm e}^{5}+1}\right)\right)}{4 \sqrt{{\mathrm e}^{5}+1}}\right)+{\mathrm e}^{-147} {\mathrm e}^{5} \left(\frac{{\mathrm e}^{x}}{2 \left({\mathrm e}^{5}+1\right) \left(1+x^{2}+{\mathrm e}^{5}\right)}-\frac{i \left(2 i \sqrt{{\mathrm e}^{5}+1}\, {\mathrm e}^{i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x +i \sqrt{{\mathrm e}^{5}+1}\right)+2 i \sqrt{{\mathrm e}^{5}+1}\, {\mathrm e}^{-i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x -i \sqrt{{\mathrm e}^{5}+1}\right)+{\mathrm e}^{5} {\mathrm e}^{i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x +i \sqrt{{\mathrm e}^{5}+1}\right)-{\mathrm e}^{5} {\mathrm e}^{-i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x -i \sqrt{{\mathrm e}^{5}+1}\right)+{\mathrm e}^{i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x +i \sqrt{{\mathrm e}^{5}+1}\right)-{\mathrm e}^{-i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x -i \sqrt{{\mathrm e}^{5}+1}\right)\right)}{4 \left({\mathrm e}^{5}+1\right)^{\frac{5}{2}}}-\frac{\expIntegralEi \left(1, -x \right)}{\left({\mathrm e}^{5}+1\right)^{2}}\right)+\frac{1}{1+x^{2}+{\mathrm e}^{5}}-\frac{x}{1+x^{2}+{\mathrm e}^{5}}+\frac{\arctan \left(\frac{x}{\sqrt{{\mathrm e}^{5}+1}}\right)}{\sqrt{{\mathrm e}^{5}+1}}+\frac{4 \,{\mathrm e}^{5} x}{\left(4 \,{\mathrm e}^{5}+4\right) \left(1+x^{2}+{\mathrm e}^{5}\right)}+\frac{4 \,{\mathrm e}^{5} \arctan \left(\frac{x}{\sqrt{{\mathrm e}^{5}+1}}\right)}{\left(4 \,{\mathrm e}^{5}+4\right) \sqrt{{\mathrm e}^{5}+1}}-\frac{{\mathrm e}^{5} x}{1+x^{2}+{\mathrm e}^{5}}+\frac{{\mathrm e}^{5} \arctan \left(\frac{x}{\sqrt{{\mathrm e}^{5}+1}}\right)}{\sqrt{{\mathrm e}^{5}+1}}-{\mathrm e}^{-147} \left(-\frac{{\mathrm e}^{x} \left(3 x^{2}+2 \,{\mathrm e}^{5}+2\right)}{2 \left({\mathrm e}^{5}+1\right)^{2} \left(1+x^{2}+{\mathrm e}^{5}\right) x}+\frac{i \left(i \sqrt{{\mathrm e}^{5}+1}\, {\mathrm e}^{i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x +i \sqrt{{\mathrm e}^{5}+1}\right)+i \sqrt{{\mathrm e}^{5}+1}\, {\mathrm e}^{-i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x -i \sqrt{{\mathrm e}^{5}+1}\right)-3 \,{\mathrm e}^{i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x +i \sqrt{{\mathrm e}^{5}+1}\right)+3 \,{\mathrm e}^{-i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x -i \sqrt{{\mathrm e}^{5}+1}\right)\right)}{4 \left({\mathrm e}^{5}+1\right)^{\frac{5}{2}}}-\frac{\expIntegralEi \left(1, -x \right)}{\left({\mathrm e}^{5}+1\right)^{2}}\right)-3 \,{\mathrm e}^{-147} \left(\frac{{\mathrm e}^{x} x}{2 \left({\mathrm e}^{5}+1\right) \left(1+x^{2}+{\mathrm e}^{5}\right)}-\frac{i \left(i \sqrt{{\mathrm e}^{5}+1}\, {\mathrm e}^{i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x +i \sqrt{{\mathrm e}^{5}+1}\right)+i \sqrt{{\mathrm e}^{5}+1}\, {\mathrm e}^{-i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x -i \sqrt{{\mathrm e}^{5}+1}\right)-{\mathrm e}^{i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x +i \sqrt{{\mathrm e}^{5}+1}\right)+{\mathrm e}^{-i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x -i \sqrt{{\mathrm e}^{5}+1}\right)\right)}{4 \left({\mathrm e}^{5}+1\right)^{\frac{3}{2}}}\right)-{\mathrm e}^{-147} {\mathrm e}^{5} \left(-\frac{{\mathrm e}^{x} \left(3 x^{2}+2 \,{\mathrm e}^{5}+2\right)}{2 \left({\mathrm e}^{5}+1\right)^{2} \left(1+x^{2}+{\mathrm e}^{5}\right) x}+\frac{i \left(i \sqrt{{\mathrm e}^{5}+1}\, {\mathrm e}^{i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x +i \sqrt{{\mathrm e}^{5}+1}\right)+i \sqrt{{\mathrm e}^{5}+1}\, {\mathrm e}^{-i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x -i \sqrt{{\mathrm e}^{5}+1}\right)-3 \,{\mathrm e}^{i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x +i \sqrt{{\mathrm e}^{5}+1}\right)+3 \,{\mathrm e}^{-i \sqrt{{\mathrm e}^{5}+1}} \expIntegralEi \left(1, -x -i \sqrt{{\mathrm e}^{5}+1}\right)\right)}{4 \left({\mathrm e}^{5}+1\right)^{\frac{5}{2}}}-\frac{\expIntegralEi \left(1, -x \right)}{\left({\mathrm e}^{5}+1\right)^{2}}\right)$&$1383$\\ \hline \end{longtable}"," ",0,"x+1/(1+x^2+exp(5))+1/x/(1+x^2+exp(5))*exp(x-147)","A"
5791,1,79,29,0.078000," ","int(1/5*(4*(-x^2-10*x)*ln(2)^2+2*(-2*x^3-30*x^2)*ln(2)-x^4-20*x^3-x-5)*exp(1/5*x)+4/5*(-15*x^2+10)*ln(2)^2+2/5*(-40*x^3+40*x)*ln(2)-5*x^4+6*x^2-2*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-20 x^{2} \ln \left(2\right)^{2}-20 x^{3} \ln \left(2\right)-5 x^{4}-5 x \right) {\mathrm e}^{\frac{x}{5}}}{5}-4 x^{3} \ln \left(2\right)^{2}+8 x \ln \left(2\right)^{2}-4 x^{4} \ln \left(2\right)+8 x^{2} \ln \left(2\right)-x^{5}+2 x^{3}-x^{2}+x$&$79$\\ norman&$\left(2-4 \ln \left(2\right)^{2}\right) x^{3}+\left(8 \ln \left(2\right)^{2}+1\right) x +\left(8 \ln \left(2\right)-1\right) x^{2}-x^{5}-x \,{\mathrm e}^{\frac{x}{5}}-x^{4} {\mathrm e}^{\frac{x}{5}}-4 x^{4} \ln \left(2\right)-4 \ln \left(2\right) {\mathrm e}^{\frac{x}{5}} x^{3}-4 \ln \left(2\right)^{2} {\mathrm e}^{\frac{x}{5}} x^{2}$&$86$\\ derivativedivides&$x -x \,{\mathrm e}^{\frac{x}{5}}-x^{4} {\mathrm e}^{\frac{x}{5}}-4 \ln \left(2\right) {\mathrm e}^{\frac{x}{5}} x^{3}-4 \ln \left(2\right)^{2} {\mathrm e}^{\frac{x}{5}} x^{2}-x^{2}+2 x^{3}-x^{5}-4 x^{3} \ln \left(2\right)^{2}+8 x \ln \left(2\right)^{2}-4 x^{4} \ln \left(2\right)+8 x^{2} \ln \left(2\right)$&$88$\\ default&$x -x \,{\mathrm e}^{\frac{x}{5}}-x^{4} {\mathrm e}^{\frac{x}{5}}-4 \ln \left(2\right) {\mathrm e}^{\frac{x}{5}} x^{3}-4 \ln \left(2\right)^{2} {\mathrm e}^{\frac{x}{5}} x^{2}-x^{2}+2 x^{3}-x^{5}-4 x^{3} \ln \left(2\right)^{2}+8 x \ln \left(2\right)^{2}-4 x^{4} \ln \left(2\right)+8 x^{2} \ln \left(2\right)$&$88$\\ \hline \end{longtable}"," ",0,"1/5*(-20*x^2*ln(2)^2-20*x^3*ln(2)-5*x^4-5*x)*exp(1/5*x)-4*x^3*ln(2)^2+8*x*ln(2)^2-4*x^4*ln(2)+8*x^2*ln(2)-x^5+2*x^3-x^2+x","B"
5792,1,9,8,0.030000," ","int(-exp(exp(1/exp(4))-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{-4}}-x}$&$9$\\ gosper&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{-4}}-x}$&$11$\\ derivativedivides&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{-4}}-x}$&$11$\\ default&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{-4}}-x}$&$11$\\ norman&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{-4}}-x}$&$11$\\ meijerg&$-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{-4}}} \left(1-{\mathrm e}^{-x}\right)$&$15$\\ \hline \end{longtable}"," ",0,"exp(exp(exp(-4))-x)","A"
5793,1,43,19,0.143000," ","int(1/15*((15*exp(x)*x^2-15*x^2)*exp(3/5*exp(5)/x)^8+8*exp(5))*exp(1/9*((9*exp(x)-9*x)*exp(3/5*exp(5)/x)^8+1)/exp(3/5*exp(5)/x)^8)/x^2/exp(3/5*exp(5)/x)^8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{\left(-9 \,{\mathrm e}^{\frac{5 x^{2}+24 \,{\mathrm e}^{5}}{5 x}}+9 \,{\mathrm e}^{\frac{24 \,{\mathrm e}^{5}}{5 x}} x -1\right) {\mathrm e}^{-\frac{24 \,{\mathrm e}^{5}}{5 x}}}{9}}$&$43$\\ \hline \end{longtable}"," ",0,"exp(-1/9*(-9*exp(1/5*(5*x^2+24*exp(5))/x)+9*exp(24/5*exp(5)/x)*x-1)*exp(-24/5*exp(5)/x))","B"
5794,1,27,19,0.105000," ","int((((4*x+2)*exp(1)*ln(x)+(4*x+6)*exp(1))*exp(x*ln(x))+1+exp(1))/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(1+{\mathrm e}\right) {\mathrm e}^{-1} x +4 x \,{\mathrm e}^{x \ln \left(x \right)}+2 \,{\mathrm e}^{x \ln \left(x \right)}$&$27$\\ risch&${\mathrm e}^{-1} x \,{\mathrm e}+{\mathrm e}^{-1} x +{\mathrm e}^{-1} \left(4 x \,{\mathrm e}+2 \,{\mathrm e}\right) x^{x}$&$28$\\ default&${\mathrm e}^{-1} \left(x +4 \,{\mathrm e} \,{\mathrm e}^{x \ln \left(x \right)} x +2 \,{\mathrm e} \,{\mathrm e}^{x \ln \left(x \right)}+x \,{\mathrm e}\right)$&$31$\\ \hline \end{longtable}"," ",0,"(1+exp(1))/exp(1)*x+4*x*exp(x*ln(x))+2*exp(x*ln(x))","A"
5795,0,0,19,0.153000," ","int(4*ln((x^2+6*x+9)/exp(3)^2)*exp(ln((x^2+6*x+9)/exp(3)^2)^2)*exp(exp(ln((x^2+6*x+9)/exp(3)^2)^2))/((3+x)*exp(exp(ln((x^2+6*x+9)/exp(3)^2)^2))+4*x+12)/ln(exp(exp(ln((x^2+6*x+9)/exp(3)^2)^2))+4),x)","\[\int \frac{4 \ln \left(\left(x^{2}+6 x +9\right) {\mathrm e}^{-6}\right) {\mathrm e}^{\ln \left(\left(x^{2}+6 x +9\right) {\mathrm e}^{-6}\right)^{2}} {\mathrm e}^{{\mathrm e}^{\ln \left(\left(x^{2}+6 x +9\right) {\mathrm e}^{-6}\right)^{2}}}}{\left(\left(3+x \right) {\mathrm e}^{{\mathrm e}^{\ln \left(\left(x^{2}+6 x +9\right) {\mathrm e}^{-6}\right)^{2}}}+4 x +12\right) \ln \left({\mathrm e}^{{\mathrm e}^{\ln \left(\left(x^{2}+6 x +9\right) {\mathrm e}^{-6}\right)^{2}}}+4\right)}\, dx\]"," ",0,"int(4*ln((x^2+6*x+9)/exp(3)^2)*exp(ln((x^2+6*x+9)/exp(3)^2)^2)*exp(exp(ln((x^2+6*x+9)/exp(3)^2)^2))/((3+x)*exp(exp(ln((x^2+6*x+9)/exp(3)^2)^2))+4*x+12)/ln(exp(exp(ln((x^2+6*x+9)/exp(3)^2)^2))+4),x)","F"
5796,1,37,22,0.065000," ","int((12*exp(4/ln(x))-6*x*ln(x)^2)/(x*ln(x)^2*exp(4/ln(x))^2+(-2*x*exp(1)+4*x^2+3*x)*ln(x)^2*exp(4/ln(x))+(x*exp(1)^2+(-4*x^2-3*x)*exp(1)+4*x^3+6*x^2)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{\frac{4}{\ln \left(x \right)}}+3+2 x -{\mathrm e}\right)-\ln \left(2 x -{\mathrm e}+{\mathrm e}^{\frac{4}{\ln \left(x \right)}}\right)$&$37$\\ \hline \end{longtable}"," ",0,"ln(exp(4/ln(x))+3+2*x-exp(1))-ln(2*x-exp(1)+exp(4/ln(x)))","A"
5797,1,24,18,0.082000," ","int((2*exp(x)*x+1-2*x)*exp(exp(x)-x)^2+exp(4)+18*x+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left({\mathrm e}^{4}+3\right) x +{\mathrm e}^{2 \,{\mathrm e}^{x}-2 x} x +9 x^{2}$&$24$\\ default&$3 x +{\mathrm e}^{2 \,{\mathrm e}^{x}-2 x} x +9 x^{2}+x \,{\mathrm e}^{4}$&$25$\\ risch&$3 x +{\mathrm e}^{2 \,{\mathrm e}^{x}-2 x} x +9 x^{2}+x \,{\mathrm e}^{4}$&$25$\\ \hline \end{longtable}"," ",0,"(exp(4)+3)*x+exp(exp(x)-x)^2*x+9*x^2","A"
5798,1,21,28,0.076000," ","int(((-2*x*exp(3)-1)*exp(x)-2*x*exp(3)-2*x-1)/(exp(x)*x+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-2 \,{\mathrm e}^{3}-2\right) x -\ln \left(x \right)+2 \ln \left({\mathrm e}^{x}+1\right)$&$21$\\ risch&$-2 x \,{\mathrm e}^{3}-\ln \left(x \right)-2 x +2 \ln \left({\mathrm e}^{x}+1\right)$&$21$\\ \hline \end{longtable}"," ",0,"(-2*exp(3)-2)*x-ln(x)+2*ln(exp(x)+1)","A"
5799,1,362,27,0.168000," ","int(((-40*x+5)*ln(x)+17*x^2+20*x-5)/((20*x^2-5*x)*ln(x)-4*x^4-15*x^3+4*x^2)/ln((-4*x^2+x)/(25*ln(x)-5*x^2-20*x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i}{\pi  \,\mathrm{csgn}\left(i \left(x -\frac{1}{4}\right)\right) \mathrm{csgn}\left(\frac{i}{-x^{2}+5 \ln \left(x \right)-4 x}\right) \mathrm{csgn}\left(\frac{i \left(x -\frac{1}{4}\right)}{-x^{2}+5 \ln \left(x \right)-4 x}\right)-\pi  \,\mathrm{csgn}\left(i \left(x -\frac{1}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(x -\frac{1}{4}\right)}{-x^{2}+5 \ln \left(x \right)-4 x}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{-x^{2}+5 \ln \left(x \right)-4 x}\right) \mathrm{csgn}\left(\frac{i \left(x -\frac{1}{4}\right)}{-x^{2}+5 \ln \left(x \right)-4 x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(x -\frac{1}{4}\right)}{-x^{2}+5 \ln \left(x \right)-4 x}\right)^{3}+\pi  \,\mathrm{csgn}\left(\frac{i \left(x -\frac{1}{4}\right)}{-x^{2}+5 \ln \left(x \right)-4 x}\right) \mathrm{csgn}\left(\frac{i x \left(x -\frac{1}{4}\right)}{-x^{2}+5 \ln \left(x \right)-4 x}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i \left(x -\frac{1}{4}\right)}{-x^{2}+5 \ln \left(x \right)-4 x}\right) \mathrm{csgn}\left(\frac{i x \left(x -\frac{1}{4}\right)}{-x^{2}+5 \ln \left(x \right)-4 x}\right) \mathrm{csgn}\left(i x \right)-\pi  \mathrm{csgn}\left(\frac{i x \left(x -\frac{1}{4}\right)}{-x^{2}+5 \ln \left(x \right)-4 x}\right)^{3}-\pi  \mathrm{csgn}\left(\frac{i x \left(x -\frac{1}{4}\right)}{-x^{2}+5 \ln \left(x \right)-4 x}\right)^{2} \mathrm{csgn}\left(i x \right)-2 i \ln \left(x^{2}-5 \ln \left(x \right)+4 x \right)+2 i \ln \left(x \right)+2 i \ln \left(x -\frac{1}{4}\right)-2 i \ln \left(5\right)+4 i \ln \left(2\right)}$&$362$\\ \hline \end{longtable}"," ",0,"2*I/(Pi*csgn(I*(x-1/4))*csgn(I/(-x^2+5*ln(x)-4*x))*csgn(I*(x-1/4)/(-x^2+5*ln(x)-4*x))-Pi*csgn(I*(x-1/4))*csgn(I*(x-1/4)/(-x^2+5*ln(x)-4*x))^2+Pi*csgn(I/(-x^2+5*ln(x)-4*x))*csgn(I*(x-1/4)/(-x^2+5*ln(x)-4*x))^2-Pi*csgn(I*(x-1/4)/(-x^2+5*ln(x)-4*x))^3+Pi*csgn(I*(x-1/4)/(-x^2+5*ln(x)-4*x))*csgn(I*x/(-x^2+5*ln(x)-4*x)*(x-1/4))^2+Pi*csgn(I*(x-1/4)/(-x^2+5*ln(x)-4*x))*csgn(I*x/(-x^2+5*ln(x)-4*x)*(x-1/4))*csgn(I*x)-Pi*csgn(I*x/(-x^2+5*ln(x)-4*x)*(x-1/4))^3-Pi*csgn(I*x/(-x^2+5*ln(x)-4*x)*(x-1/4))^2*csgn(I*x)-2*I*ln(x^2-5*ln(x)+4*x)+2*I*ln(x)+2*I*ln(x-1/4)-2*I*ln(5)+4*I*ln(2))","C"
5800,1,39,23,0.123000," ","int(((x^2*exp(2)+2*x^3)*exp(3)^2+(-x^2+2*x+5)*exp(2)+x^4+8*x^3+3*x^2)/(x^2*exp(3)^4+(2*x^3+8*x^2+2*x)*exp(3)^2+x^4+8*x^3+18*x^2+8*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}+\left(-{\mathrm e}^{6} {\mathrm e}^{2}+{\mathrm e}^{2}\right) x -{\mathrm e}^{2}}{1+x \,{\mathrm e}^{6}+x^{2}+4 x}$&$39$\\ gosper&$-\frac{{\mathrm e}^{2} {\mathrm e}^{6} x -x^{3}-{\mathrm e}^{2} x +{\mathrm e}^{2}}{1+x \,{\mathrm e}^{6}+x^{2}+4 x}$&$40$\\ risch&$x +\frac{\left(8 \,{\mathrm e}^{6}+{\mathrm e}^{12}+15+{\mathrm e}^{2}-{\mathrm e}^{8}\right) x +{\mathrm e}^{6}-{\mathrm e}^{2}+4}{1+x \,{\mathrm e}^{6}+x^{2}+4 x}$&$42$\\ default&$x -\frac{-\frac{\left({\mathrm e}^{2} {\mathrm e}^{12}+8 \,{\mathrm e}^{18}+\left({\mathrm e}^{12}\right)^{2}-{\mathrm e}^{12} {\mathrm e}^{8}+10 \,{\mathrm e}^{6} {\mathrm e}^{2}+91 \,{\mathrm e}^{12}+8 \,{\mathrm e}^{6} {\mathrm e}^{12}-8 \,{\mathrm e}^{6} {\mathrm e}^{8}+12 \,{\mathrm e}^{2}+216 \,{\mathrm e}^{6}-14 \,{\mathrm e}^{8}+180\right) x}{{\mathrm e}^{12}+8 \,{\mathrm e}^{6}+12}+\frac{4 \,{\mathrm e}^{6} {\mathrm e}^{2}-12 \,{\mathrm e}^{12}-{\mathrm e}^{6} {\mathrm e}^{12}+{\mathrm e}^{6} {\mathrm e}^{8}+12 \,{\mathrm e}^{2}-44 \,{\mathrm e}^{6}+4 \,{\mathrm e}^{8}-48}{{\mathrm e}^{12}+8 \,{\mathrm e}^{6}+12}}{1+x \,{\mathrm e}^{6}+x^{2}+4 x}-\frac{4 \left({\mathrm e}^{6} {\mathrm e}^{2}-{\mathrm e}^{8}\right) \arctanh \left(\frac{{\mathrm e}^{6}+2 x +4}{\sqrt{{\mathrm e}^{12}+8 \,{\mathrm e}^{6}+12}}\right)}{\left({\mathrm e}^{12}+8 \,{\mathrm e}^{6}+12\right)^{\frac{3}{2}}}$&$212$\\ \hline \end{longtable}"," ",0,"(x^3+(-exp(2)*exp(3)^2+exp(2))*x-exp(2))/(x*exp(3)^2+x^2+4*x+1)","A"
5801,1,21,19,0.075000," ","int((((-36*x+36)*ln(x)-18*x+18)*exp(2*x*ln(x)+3-x)+18)/exp(exp(2*x*ln(x)+3-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(18 x -18\right) {\mathrm e}^{-{\mathrm e}^{2 x \ln \left(x \right)+3-x}}$&$21$\\ risch&$\left(18 x -18\right) {\mathrm e}^{-x^{2 x} {\mathrm e}^{3-x}}$&$21$\\ \hline \end{longtable}"," ",0,"(18*x-18)/exp(exp(2*x*ln(x)+3-x))","A"
5802,1,21,20,0.132000," ","int((-315*x^4-750*x^3)/(64*x^6+1008*x^5+6492*x^4+21861*x^3+40575*x^2+39375*x+15625)/exp(x^4/(16*x^4+168*x^3+641*x^2+1050*x+625))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{15 \,{\mathrm e}^{-\frac{2 x^{4}}{\left(4 x^{2}+21 x +25\right)^{2}}}}{4}$&$21$\\ gosper&$\frac{15 \,{\mathrm e}^{-\frac{2 x^{4}}{16 x^{4}+168 x^{3}+641 x^{2}+1050 x +625}}}{4}$&$32$\\ norman&$\frac{\left(\frac{9375}{4}+\frac{7875}{2} x +\frac{9615}{4} x^{2}+630 x^{3}+60 x^{4}\right) {\mathrm e}^{-\frac{2 x^{4}}{16 x^{4}+168 x^{3}+641 x^{2}+1050 x +625}}}{\left(4 x^{2}+21 x +25\right)^{2}}$&$63$\\ \hline \end{longtable}"," ",0,"15/4*exp(-2*x^4/(4*x^2+21*x+25)^2)","A"
5803,1,24,23,0.050000," ","int((((8*x-24)*ln(x-3)^2+(50*x-150)*ln(x-3)+76*x-234)*ln(x)^2+((8*x^2-24*x)*ln(x-3)^2+(48*x^2-144*x)*ln(x-3)+71*x^2-216*x)*ln(x)+(2*x^3-6*x^2)*ln(x-3)^2+(12*x^3-35*x^2-3*x)*ln(x-3)+18*x^3-51*x^2-9*x)/(((8*x-24)*ln(x-3)^2+(48*x-144)*ln(x-3)+72*x-216)*ln(x)^2+((8*x^2-24*x)*ln(x-3)^2+(48*x^2-144*x)*ln(x-3)+72*x^2-216*x)*ln(x)+(2*x^3-6*x^2)*ln(x-3)^2+(12*x^3-36*x^2)*ln(x-3)+18*x^3-54*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x \ln \left(x \right)}{2 \left(2 \ln \left(x \right)+x \right) \left(\ln \left(x -3\right)+3\right)}$&$24$\\ \hline \end{longtable}"," ",0,"x+1/2*x*ln(x)/(2*ln(x)+x)/(ln(x-3)+3)","A"
5804,0,0,30,0.044000," ","int((((-16*x^3*ln(5)-32*x^3-32*x^2)*exp(x)+32*x^2*ln(5)+64*x^2+64*x)*ln(-x*ln(5)-2*x-2)+(4*x^6*ln(5)+8*x^6+8*x^5)*exp(x)+(4*x^5-16*x^2)*ln(5)+8*x^5+8*x^4-32*x^2)/((16*x*ln(5)+32*x+32)*ln(-x*ln(5)-2*x-2)^2+(-8*x^4*ln(5)-16*x^4-16*x^3)*ln(-x*ln(5)-2*x-2)+x^7*ln(5)+2*x^7+2*x^6)/exp(exp(x)),x)","\[\int \frac{\left(\left(\left(-16 x^{3} \ln \left(5\right)-32 x^{3}-32 x^{2}\right) {\mathrm e}^{x}+32 x^{2} \ln \left(5\right)+64 x^{2}+64 x \right) \ln \left(-x \ln \left(5\right)-2 x -2\right)+\left(4 x^{6} \ln \left(5\right)+8 x^{6}+8 x^{5}\right) {\mathrm e}^{x}+\left(4 x^{5}-16 x^{2}\right) \ln \left(5\right)+8 x^{5}+8 x^{4}-32 x^{2}\right) {\mathrm e}^{-{\mathrm e}^{x}}}{\left(16 x \ln \left(5\right)+32 x +32\right) \ln \left(-x \ln \left(5\right)-2 x -2\right)^{2}+\left(-8 x^{4} \ln \left(5\right)-16 x^{4}-16 x^{3}\right) \ln \left(-x \ln \left(5\right)-2 x -2\right)+x^{7} \ln \left(5\right)+2 x^{7}+2 x^{6}}\, dx\]"," ",0,"int((((-16*x^3*ln(5)-32*x^3-32*x^2)*exp(x)+32*x^2*ln(5)+64*x^2+64*x)*ln(-x*ln(5)-2*x-2)+(4*x^6*ln(5)+8*x^6+8*x^5)*exp(x)+(4*x^5-16*x^2)*ln(5)+8*x^5+8*x^4-32*x^2)/((16*x*ln(5)+32*x+32)*ln(-x*ln(5)-2*x-2)^2+(-8*x^4*ln(5)-16*x^4-16*x^3)*ln(-x*ln(5)-2*x-2)+x^7*ln(5)+2*x^7+2*x^6)/exp(exp(x)),x)","F"
5805,1,16,15,0.087000," ","int(((-2*x+8)*exp(8*ln(x)-2*x+180)-1)*exp(exp(8*ln(x)-2*x+180))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{{\mathrm e}^{8 \ln \left(x \right)-2 x +180}}}{x}$&$16$\\ risch&$\frac{{\mathrm e}^{x^{8} {\mathrm e}^{180-2 x}}}{x}$&$16$\\ \hline \end{longtable}"," ",0,"exp(exp(8*ln(x)-2*x+180))/x","A"
5806,1,23,20,0.059000," ","int(1/3*((-4*x+4)*exp(1-x)+3*ln(5)-13)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x \,{\mathrm e}^{1-x}}{3 \ln \left(5\right)}+x -\frac{13 x}{3 \ln \left(5\right)}$&$23$\\ norman&$\frac{4 x \,{\mathrm e}^{1-x}}{3 \ln \left(5\right)}+\frac{\left(3 \ln \left(5\right)-13\right) x}{3 \ln \left(5\right)}$&$28$\\ default&$\frac{-13 x -4 \,{\mathrm e}^{1-x} \left(1-x \right)+4 \,{\mathrm e}^{1-x}+3 x \ln \left(5\right)}{3 \ln \left(5\right)}$&$37$\\ derivativedivides&$-\frac{-13+13 x +4 \,{\mathrm e}^{1-x} \left(1-x \right)-4 \,{\mathrm e}^{1-x}+3 \left(1-x \right) \ln \left(5\right)}{3 \ln \left(5\right)}$&$42$\\ \hline \end{longtable}"," ",0,"4/3*x/ln(5)*exp(1-x)+x-13/3*x/ln(5)","A"
5807,1,18,19,0.053000," ","int(((-2*x^2+x+1)*ln(x)-x^2)*exp((x^2+x)*ln(x))/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(1-x \right) x^{\left(x +1\right) x}}{\ln \left(5\right)}$&$18$\\ norman&$\frac{{\mathrm e}^{\left(x^{2}+x \right) \ln \left(x \right)}}{\ln \left(5\right)}-\frac{x \,{\mathrm e}^{\left(x^{2}+x \right) \ln \left(x \right)}}{\ln \left(5\right)}$&$32$\\ \hline \end{longtable}"," ",0,"(1-x)*x^((x+1)*x)/ln(5)","A"
5808,1,36,22,0.050000," ","int(1/225*((18*x^3-18*x^2)*exp(x)^2+((30*x^2-90*x)*exp(3)-30*x^2+90*x)*exp(x)-100*exp(3)^2+200*exp(3)-100)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{2 \,{\mathrm e}^{3}}{15}-\frac{2}{15}\right) x \,{\mathrm e}^{x}+\frac{{\mathrm e}^{2 x} x^{2}}{25}+\frac{{\mathrm e}^{6}}{9}-\frac{2 \,{\mathrm e}^{3}}{9}+\frac{1}{9}}{x^{4}}$&$36$\\ risch&$\frac{{\mathrm e}^{6}}{9 x^{4}}-\frac{2 \,{\mathrm e}^{3}}{9 x^{4}}+\frac{1}{9 x^{4}}+\frac{{\mathrm e}^{2 x}}{25 x^{2}}+\frac{2 \left({\mathrm e}^{3}-1\right) {\mathrm e}^{x}}{15 x^{3}}$&$41$\\ default&$\frac{1}{9 x^{4}}-\frac{2 \,{\mathrm e}^{3}}{9 x^{4}}+\frac{{\mathrm e}^{6}}{9 x^{4}}+\frac{{\mathrm e}^{2 x}}{25 x^{2}}-\frac{2 \,{\mathrm e}^{x}}{15 x^{3}}-\frac{2 \,{\mathrm e}^{3} \left(-\frac{{\mathrm e}^{x}}{3 x^{3}}-\frac{{\mathrm e}^{x}}{6 x^{2}}-\frac{{\mathrm e}^{x}}{6 x}-\frac{\expIntegralEi \left(1, -x \right)}{6}\right)}{5}+\frac{2 \,{\mathrm e}^{3} \left(-\frac{{\mathrm e}^{x}}{2 x^{2}}-\frac{{\mathrm e}^{x}}{2 x}-\frac{\expIntegralEi \left(1, -x \right)}{2}\right)}{15}$&$98$\\ \hline \end{longtable}"," ",0,"((2/15*exp(3)-2/15)*x*exp(x)+1/25*exp(x)^2*x^2+1/9*exp(3)^2-2/9*exp(3)+1/9)/x^4","A"
5809,1,37,29,0.177000," ","int((-32*x*ln(ln(5))-32*x-32)*exp(((12*x^2+8*x-4)*ln(ln(5))+32*x)/(x^2-2*x+1)/ln(ln(5)))/(x^3-3*x^2+3*x-1)/ln(ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{12 \ln \left(\ln \left(5\right)\right) x^{2}+8 x \ln \left(\ln \left(5\right)\right)-4 \ln \left(\ln \left(5\right)\right)+32 x}{\ln \left(\ln \left(5\right)\right) \left(x -1\right)^{2}}}$&$37$\\ gosper&${\mathrm e}^{\frac{12 \ln \left(\ln \left(5\right)\right) x^{2}+8 x \ln \left(\ln \left(5\right)\right)-4 \ln \left(\ln \left(5\right)\right)+32 x}{\left(x^{2}-2 x +1\right) \ln \left(\ln \left(5\right)\right)}}$&$42$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{\left(12 x^{2}+8 x -4\right) \ln \left(\ln \left(5\right)\right)+32 x}{\left(x^{2}-2 x +1\right) \ln \left(\ln \left(5\right)\right)}}-2 x \,{\mathrm e}^{\frac{\left(12 x^{2}+8 x -4\right) \ln \left(\ln \left(5\right)\right)+32 x}{\left(x^{2}-2 x +1\right) \ln \left(\ln \left(5\right)\right)}}+{\mathrm e}^{\frac{\left(12 x^{2}+8 x -4\right) \ln \left(\ln \left(5\right)\right)+32 x}{\left(x^{2}-2 x +1\right) \ln \left(\ln \left(5\right)\right)}}}{\left(x -1\right)^{2}}$&$120$\\ default&$\frac{-\frac{4 i \sqrt{\pi}\, {\mathrm e}^{12-\frac{\left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)^{2}}{4 \left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}} \erf \left(\frac{4 i \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}{x -1}+\frac{i \left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}{8 \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}\right)}{\sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}+\frac{32 \,{\mathrm e}^{12+\frac{16+\frac{32}{\ln \left(\ln \left(5\right)\right)}}{\left(x -1\right)^{2}}+\frac{32+\frac{32}{\ln \left(\ln \left(5\right)\right)}}{x -1}}}{16+\frac{32}{\ln \left(\ln \left(5\right)\right)}}+\frac{192 i \sqrt{\pi}\, {\mathrm e}^{12-\frac{\left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)^{2}}{4 \left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}} \erf \left(\frac{4 i \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}{x -1}+\frac{i \left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}{8 \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}\right)}{\left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right) \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}+\frac{128 i \sqrt{\pi}\, {\mathrm e}^{12-\frac{\left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)^{2}}{4 \left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}} \erf \left(\frac{4 i \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}{x -1}+\frac{i \left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}{8 \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}\right)}{\left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right) \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}\, \ln \left(\ln \left(5\right)\right)}-\frac{4 i \ln \left(\ln \left(5\right)\right) \sqrt{\pi}\, {\mathrm e}^{12-\frac{\left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)^{2}}{4 \left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}} \erf \left(\frac{4 i \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}{x -1}+\frac{i \left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}{8 \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}\right)}{\sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}+\frac{32 \ln \left(\ln \left(5\right)\right) {\mathrm e}^{12+\frac{16+\frac{32}{\ln \left(\ln \left(5\right)\right)}}{\left(x -1\right)^{2}}+\frac{32+\frac{32}{\ln \left(\ln \left(5\right)\right)}}{x -1}}}{32+\frac{64}{\ln \left(\ln \left(5\right)\right)}}+\frac{64 i \ln \left(\ln \left(5\right)\right) \sqrt{\pi}\, {\mathrm e}^{12-\frac{\left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)^{2}}{4 \left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}} \erf \left(\frac{4 i \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}{x -1}+\frac{i \left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}{8 \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}\right)}{\left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right) \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}}{\ln \left(\ln \left(5\right)\right)}$&$587$\\ derivativedivides&$-\frac{32 \left(\frac{i \sqrt{\pi}\, {\mathrm e}^{12-\frac{\left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)^{2}}{4 \left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}} \erf \left(\frac{4 i \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}{x -1}+\frac{i \left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}{8 \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}\right)}{8 \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}-\frac{{\mathrm e}^{12+\frac{16+\frac{32}{\ln \left(\ln \left(5\right)\right)}}{\left(x -1\right)^{2}}+\frac{32+\frac{32}{\ln \left(\ln \left(5\right)\right)}}{x -1}}}{16+\frac{32}{\ln \left(\ln \left(5\right)\right)}}-\frac{6 i \sqrt{\pi}\, {\mathrm e}^{12-\frac{\left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)^{2}}{4 \left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}} \erf \left(\frac{4 i \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}{x -1}+\frac{i \left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}{8 \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}\right)}{\left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right) \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}-\frac{4 i \sqrt{\pi}\, {\mathrm e}^{12-\frac{\left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)^{2}}{4 \left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}} \erf \left(\frac{4 i \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}{x -1}+\frac{i \left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}{8 \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}\right)}{\left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right) \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}\, \ln \left(\ln \left(5\right)\right)}+\frac{i \ln \left(\ln \left(5\right)\right) \sqrt{\pi}\, {\mathrm e}^{12-\frac{\left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)^{2}}{4 \left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}} \erf \left(\frac{4 i \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}{x -1}+\frac{i \left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}{8 \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}\right)}{8 \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}-\frac{\ln \left(\ln \left(5\right)\right) {\mathrm e}^{12+\frac{16+\frac{32}{\ln \left(\ln \left(5\right)\right)}}{\left(x -1\right)^{2}}+\frac{32+\frac{32}{\ln \left(\ln \left(5\right)\right)}}{x -1}}}{2 \left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}-\frac{2 i \ln \left(\ln \left(5\right)\right) \sqrt{\pi}\, {\mathrm e}^{12-\frac{\left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)^{2}}{4 \left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}} \erf \left(\frac{4 i \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}{x -1}+\frac{i \left(32+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right)}{8 \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}\right)}{\left(16+\frac{32}{\ln \left(\ln \left(5\right)\right)}\right) \sqrt{1+\frac{2}{\ln \left(\ln \left(5\right)\right)}}}\right)}{\ln \left(\ln \left(5\right)\right)}$&$588$\\ \hline \end{longtable}"," ",0,"exp(4*(3*ln(ln(5))*x^2+2*x*ln(ln(5))-ln(ln(5))+8*x)/ln(ln(5))/(x-1)^2)","A"
5810,1,2063,23,1.628000," ","int((((4*x^3+20*x^2+17*x+4)*exp(x)^2*ln(6*x^2+3*x)^2+(-16*x^2-16*x-4)*exp(x)^2*ln(6*x^2+3*x))*ln(((4+x)*ln(6*x^2+3*x)-4)/ln(6*x^2+3*x))+(2*x^2+x)*exp(x)^2*ln(6*x^2+3*x)^2+(16*x+4)*exp(x)^2)/((2*x^2+9*x+4)*ln(6*x^2+3*x)^2+(-8*x-4)*ln(6*x^2+3*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2063$\\ \hline \end{longtable}"," ",0,"x*exp(2*x)*ln(-8*I+8*I*ln(x)+x*Pi*csgn(I*x*(1/2+x))^3-x*Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-x*Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2+4*Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))+4*Pi*csgn(I*x*(1/2+x))^3+8*I*ln(3)+8*I*ln(1/2+x)+2*I*x*ln(3)+2*I*x*ln(x)+2*I*x*ln(1/2+x)-4*Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-4*Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2+x*Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x)))-x*exp(2*x)*ln(Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))+Pi*csgn(I*x*(1/2+x))^3+2*I*ln(x)+2*I*ln(1/2+x)+2*I*ln(3)-Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2)-1/2*I*Pi*x*csgn(I/(Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))+Pi*csgn(I*x*(1/2+x))^3+2*I*ln(x)+2*I*ln(1/2+x)+2*I*ln(3)-Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2))*csgn(I*(-8*I+8*I*ln(x)+x*Pi*csgn(I*x*(1/2+x))^3-x*Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-x*Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2+4*Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))+4*Pi*csgn(I*x*(1/2+x))^3+8*I*ln(3)+8*I*ln(1/2+x)+2*I*x*ln(3)+2*I*x*ln(x)+2*I*x*ln(1/2+x)-4*Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-4*Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2+x*Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))))*csgn(I/(Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))+Pi*csgn(I*x*(1/2+x))^3+2*I*ln(x)+2*I*ln(1/2+x)+2*I*ln(3)-Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2)*(-8*I+8*I*ln(x)+x*Pi*csgn(I*x*(1/2+x))^3-x*Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-x*Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2+4*Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))+4*Pi*csgn(I*x*(1/2+x))^3+8*I*ln(3)+8*I*ln(1/2+x)+2*I*x*ln(3)+2*I*x*ln(x)+2*I*x*ln(1/2+x)-4*Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-4*Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2+x*Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))))*exp(2*x)+1/2*I*Pi*x*csgn(I/(Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))+Pi*csgn(I*x*(1/2+x))^3+2*I*ln(x)+2*I*ln(1/2+x)+2*I*ln(3)-Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2))*csgn(I/(Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))+Pi*csgn(I*x*(1/2+x))^3+2*I*ln(x)+2*I*ln(1/2+x)+2*I*ln(3)-Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2)*(-8*I+8*I*ln(x)+x*Pi*csgn(I*x*(1/2+x))^3-x*Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-x*Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2+4*Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))+4*Pi*csgn(I*x*(1/2+x))^3+8*I*ln(3)+8*I*ln(1/2+x)+2*I*x*ln(3)+2*I*x*ln(x)+2*I*x*ln(1/2+x)-4*Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-4*Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2+x*Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))))^2*exp(2*x)+1/2*I*Pi*x*csgn(I*(-8*I+8*I*ln(x)+x*Pi*csgn(I*x*(1/2+x))^3-x*Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-x*Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2+4*Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))+4*Pi*csgn(I*x*(1/2+x))^3+8*I*ln(3)+8*I*ln(1/2+x)+2*I*x*ln(3)+2*I*x*ln(x)+2*I*x*ln(1/2+x)-4*Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-4*Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2+x*Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))))*csgn(I/(Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))+Pi*csgn(I*x*(1/2+x))^3+2*I*ln(x)+2*I*ln(1/2+x)+2*I*ln(3)-Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2)*(-8*I+8*I*ln(x)+x*Pi*csgn(I*x*(1/2+x))^3-x*Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-x*Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2+4*Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))+4*Pi*csgn(I*x*(1/2+x))^3+8*I*ln(3)+8*I*ln(1/2+x)+2*I*x*ln(3)+2*I*x*ln(x)+2*I*x*ln(1/2+x)-4*Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-4*Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2+x*Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))))^2*exp(2*x)-1/2*I*Pi*x*csgn(I/(Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))+Pi*csgn(I*x*(1/2+x))^3+2*I*ln(x)+2*I*ln(1/2+x)+2*I*ln(3)-Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2)*(-8*I+8*I*ln(x)+x*Pi*csgn(I*x*(1/2+x))^3-x*Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-x*Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2+4*Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))+4*Pi*csgn(I*x*(1/2+x))^3+8*I*ln(3)+8*I*ln(1/2+x)+2*I*x*ln(3)+2*I*x*ln(x)+2*I*x*ln(1/2+x)-4*Pi*csgn(I*x)*csgn(I*x*(1/2+x))^2-4*Pi*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))^2+x*Pi*csgn(I*x)*csgn(I*(1/2+x))*csgn(I*x*(1/2+x))))^3*exp(2*x)","C"
5811,1,250,29,0.314000," ","int((((5*x^2-15*x)*ln(x)-5*exp(x)^2+50*exp(x)-125)*ln((-x^2+3*x)*ln(x)+exp(x)^2-10*exp(x)+25)*ln(ln((-x^2+3*x)*ln(x)+exp(x)^2-10*exp(x)+25))+(-10*x^2+15*x)*ln(x)+10*x*exp(x)^2-50*exp(x)*x-5*x^2+15*x)/((x^3-3*x^2)*ln(x)-x*exp(x)^2+10*exp(x)*x-25*x)/ln((-x^2+3*x)*ln(x)+exp(x)^2-10*exp(x)+25)/ln(ln((-x^2+3*x)*ln(x)+exp(x)^2-10*exp(x)+25))/ln(ln(ln((-x^2+3*x)*ln(x)+exp(x)^2-10*exp(x)+25))/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{10 i}{\pi  \,\mathrm{csgn}\left(i \ln \left(\ln \left(\left(-x^{2}+3 x \right) \ln \left(x \right)+{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x}+25\right)\right)\right) \mathrm{csgn}\left(\frac{i \ln \left(\ln \left(\left(-x^{2}+3 x \right) \ln \left(x \right)+{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x}+25\right)\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \ln \left(\ln \left(\left(-x^{2}+3 x \right) \ln \left(x \right)+{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x}+25\right)\right)\right) \mathrm{csgn}\left(\frac{i \ln \left(\ln \left(\left(-x^{2}+3 x \right) \ln \left(x \right)+{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x}+25\right)\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)-\pi  \mathrm{csgn}\left(\frac{i \ln \left(\ln \left(\left(-x^{2}+3 x \right) \ln \left(x \right)+{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x}+25\right)\right)}{x}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \ln \left(\ln \left(\left(-x^{2}+3 x \right) \ln \left(x \right)+{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x}+25\right)\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+2 i \ln \left(x \right)-2 i \ln \left(\ln \left(\ln \left(\left(-x^{2}+3 x \right) \ln \left(x \right)+{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x}+25\right)\right)\right)}$&$250$\\ \hline \end{longtable}"," ",0,"-10*I/(Pi*csgn(I*ln(ln((-x^2+3*x)*ln(x)+exp(2*x)-10*exp(x)+25)))*csgn(I/x*ln(ln((-x^2+3*x)*ln(x)+exp(2*x)-10*exp(x)+25)))^2-Pi*csgn(I*ln(ln((-x^2+3*x)*ln(x)+exp(2*x)-10*exp(x)+25)))*csgn(I/x*ln(ln((-x^2+3*x)*ln(x)+exp(2*x)-10*exp(x)+25)))*csgn(I/x)-Pi*csgn(I/x*ln(ln((-x^2+3*x)*ln(x)+exp(2*x)-10*exp(x)+25)))^3+Pi*csgn(I/x*ln(ln((-x^2+3*x)*ln(x)+exp(2*x)-10*exp(x)+25)))^2*csgn(I/x)+2*I*ln(x)-2*I*ln(ln(ln((-x^2+3*x)*ln(x)+exp(2*x)-10*exp(x)+25))))","C"
5812,1,77075,24,10.664000," ","int((((432*x^2*ln(2)-216*x^3)*ln((-10*ln(2)+5*x)/x^2)+2*(-216*x^2+324)*ln(2)+108*x^3-324*x)*ln(x)^3+((432*x^4*ln(2)-216*x^5)*ln((-10*ln(2)+5*x)/x^2)^2+(2*(-216*x^4+324*x^2)*ln(2)+108*x^5-324*x^3)*ln((-10*ln(2)+5*x)/x^2))*ln(x)^2+((144*x^6*ln(2)-72*x^7)*ln((-10*ln(2)+5*x)/x^2)^3+(2*(-72*x^6+108*x^4)*ln(2)+36*x^7-108*x^5)*ln((-10*ln(2)+5*x)/x^2)^2)*ln(x)+(16*x^8*ln(2)-8*x^9)*ln((-10*ln(2)+5*x)/x^2)^4+(2*(-8*x^8+12*x^6)*ln(2)+4*x^9-12*x^7)*ln((-10*ln(2)+5*x)/x^2)^3)/(162*x*ln(2)-81*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$77075$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
5813,1,15,26,0.066000," ","int(((20*x+20)*exp(3-x)-120)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{120-20 \,{\mathrm e}^{3-x}}{x}$&$15$\\ derivativedivides&$\frac{120}{x}-\frac{20 \,{\mathrm e}^{3-x}}{x}$&$18$\\ default&$\frac{120}{x}-\frac{20 \,{\mathrm e}^{3-x}}{x}$&$18$\\ risch&$\frac{120}{x}-\frac{20 \,{\mathrm e}^{3-x}}{x}$&$18$\\ \hline \end{longtable}"," ",0,"(120-20*exp(3-x))/x","A"
5814,1,19,19,0.032000," ","int(1/5*(2*ln(x)-10*x^4-x+9)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-1+\frac{x}{5}-x^{4}-\frac{\ln \left(x \right)}{5}}{x^{2}}$&$19$\\ default&$-\frac{\ln \left(x \right)}{5 x^{2}}-\frac{1}{x^{2}}-x^{2}+\frac{1}{5 x}$&$24$\\ risch&$-\frac{\ln \left(x \right)}{5 x^{2}}-\frac{5 x^{4}-x +5}{5 x^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"(-1+1/5*x-x^4-1/5*ln(x))/x^2","A"
5815,1,35,18,0.042000," ","int(2*(-2*x-10)*exp(1)*ln(2)+(6*x+30)*exp(1)+3*x^2+20*x+25,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{3}+\left(-20 \,{\mathrm e} \ln \left(2\right)+30 \,{\mathrm e}+25\right) x +\left(-2 \,{\mathrm e} \ln \left(2\right)+3 \,{\mathrm e}+10\right) x^{2}$&$35$\\ gosper&$-x \left(2 x \,{\mathrm e} \ln \left(2\right)+20 \,{\mathrm e} \ln \left(2\right)-3 x \,{\mathrm e}-x^{2}-30 \,{\mathrm e}-10 x -25\right)$&$36$\\ default&$2 \,{\mathrm e} \ln \left(2\right) \left(-x^{2}-10 x \right)+{\mathrm e} \left(3 x^{2}+30 x \right)+x^{3}+10 x^{2}+25 x$&$40$\\ risch&$-2 \,{\mathrm e} \ln \left(2\right) x^{2}-20 x \,{\mathrm e} \ln \left(2\right)+3 x^{2} {\mathrm e}+30 x \,{\mathrm e}+x^{3}+10 x^{2}+25 x$&$41$\\ \hline \end{longtable}"," ",0,"x^3+(-20*exp(1)*ln(2)+30*exp(1)+25)*x+(-2*exp(1)*ln(2)+3*exp(1)+10)*x^2","A"
5816,1,27,21,0.292000," ","int(((-20*x^4+30*x^3-10*x^2-13*x+13)*exp(1/10*(-10*x^3+10*x^2+13)/x)+10*x^3-20*x^2)/(10*x^3-10*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\ln \left(x -1\right)+{\mathrm e}^{-\frac{10 x^{3}-10 x^{2}-13}{10 x}}$&$27$\\ norman&$\frac{x^{2}+x \,{\mathrm e}^{\frac{-10 x^{3}+10 x^{2}+13}{10 x}}}{x}-\ln \left(x -1\right)$&$36$\\ \hline \end{longtable}"," ",0,"x-ln(x-1)+exp(-1/10*(10*x^3-10*x^2-13)/x)","A"
5817,1,20,21,0.036000," ","int(60*x^2*ln(3)^2-15*x^2-40*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(20 \ln \left(3\right)^{2}-5\right) x^{3}-20 x^{2}+x$&$20$\\ gosper&$20 x^{3} \ln \left(3\right)^{2}-5 x^{3}-20 x^{2}+x$&$22$\\ default&$20 x^{3} \ln \left(3\right)^{2}-5 x^{3}-20 x^{2}+x$&$22$\\ risch&$20 x^{3} \ln \left(3\right)^{2}-5 x^{3}-20 x^{2}+x$&$22$\\ \hline \end{longtable}"," ",0,"(20*ln(3)^2-5)*x^3-20*x^2+x","A"
5818,1,34,24,0.221000," ","int(((504*x^5-576*x^3)*exp(x^2)^2+(24*x^7+24*x^5)*exp(3)*exp(x^2))/((441*x^4-504*x^2+144)*exp(x^2)^2+(42*x^4-24*x^2)*exp(3)*exp(x^2)+x^4*exp(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{12 x^{4} {\mathrm e}^{x^{2}}}{21 x^{2} {\mathrm e}^{x^{2}}+x^{2} {\mathrm e}^{3}-12 \,{\mathrm e}^{x^{2}}}$&$34$\\ risch&$\frac{4 x^{2}}{7}+\frac{64}{343 \left(x^{2}-\frac{4}{7}\right)}-\frac{4 \,{\mathrm e}^{3} x^{6}}{\left(7 x^{2}-4\right) \left(21 x^{2} {\mathrm e}^{x^{2}}+x^{2} {\mathrm e}^{3}-12 \,{\mathrm e}^{x^{2}}\right)}$&$56$\\ \hline \end{longtable}"," ",0,"12*x^4*exp(x^2)/(21*x^2*exp(x^2)+x^2*exp(3)-12*exp(x^2))","A"
5819,1,486,31,0.236000," ","int((((24*x^2+75)*exp(x^2)+5*x^2)*ln(1/5*((-24*x^2-75)*exp(x^2)-5*x^2)/exp(x^2)/x)+(-24*x^2+75)*exp(x^2)+10*x^4-5*x^2)/((24*x^2+75)*exp(x^2)+5*x^2)/ln(1/5*((-24*x^2-75)*exp(x^2)-5*x^2)/exp(x^2)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i x}{2 \pi  \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x^{2}}+\frac{5}{24}\right) x^{2}+\frac{25 \,{\mathrm e}^{x^{2}}}{8}\right) {\mathrm e}^{-x^{2}}}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(\left({\mathrm e}^{x^{2}}+\frac{5}{24}\right) x^{2}+\frac{25 \,{\mathrm e}^{x^{2}}}{8}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(\left({\mathrm e}^{x^{2}}+\frac{5}{24}\right) x^{2}+\frac{25 \,{\mathrm e}^{x^{2}}}{8}\right)\right)-\pi  \,\mathrm{csgn}\left(i \left(\left({\mathrm e}^{x^{2}}+\frac{5}{24}\right) x^{2}+\frac{25 \,{\mathrm e}^{x^{2}}}{8}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(\left({\mathrm e}^{x^{2}}+\frac{5}{24}\right) x^{2}+\frac{25 \,{\mathrm e}^{x^{2}}}{8}\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(\left({\mathrm e}^{x^{2}}+\frac{5}{24}\right) x^{2}+\frac{25 \,{\mathrm e}^{x^{2}}}{8}\right)\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(\left({\mathrm e}^{x^{2}}+\frac{5}{24}\right) x^{2}+\frac{25 \,{\mathrm e}^{x^{2}}}{8}\right)\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(\left({\mathrm e}^{x^{2}}+\frac{5}{24}\right) x^{2}+\frac{25 \,{\mathrm e}^{x^{2}}}{8}\right)\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x^{2}}+\frac{5}{24}\right) x^{2}+\frac{25 \,{\mathrm e}^{x^{2}}}{8}\right) {\mathrm e}^{-x^{2}}}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(\left({\mathrm e}^{x^{2}}+\frac{5}{24}\right) x^{2}+\frac{25 \,{\mathrm e}^{x^{2}}}{8}\right)\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x^{2}}+\frac{5}{24}\right) x^{2}+\frac{25 \,{\mathrm e}^{x^{2}}}{8}\right) {\mathrm e}^{-x^{2}}}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)-\pi  \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x^{2}}+\frac{5}{24}\right) x^{2}+\frac{25 \,{\mathrm e}^{x^{2}}}{8}\right) {\mathrm e}^{-x^{2}}}{x}\right)^{3}-\pi  \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x^{2}}+\frac{5}{24}\right) x^{2}+\frac{25 \,{\mathrm e}^{x^{2}}}{8}\right) {\mathrm e}^{-x^{2}}}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)-2 \pi +2 i \ln \left(\left({\mathrm e}^{x^{2}}+\frac{5}{24}\right) x^{2}+\frac{25 \,{\mathrm e}^{x^{2}}}{8}\right)-2 i \ln \left(x \right)-2 i \ln \left(5\right)-2 i \ln \left({\mathrm e}^{x^{2}}\right)+2 i \ln \left(3\right)+6 i \ln \left(2\right)}$&$486$\\ \hline \end{longtable}"," ",0,"2*I*x/(2*Pi*csgn(I/x*((exp(x^2)+5/24)*x^2+25/8*exp(x^2))*exp(-x^2))^2+Pi*csgn(I*((exp(x^2)+5/24)*x^2+25/8*exp(x^2)))*csgn(I*exp(-x^2))*csgn(I*exp(-x^2)*((exp(x^2)+5/24)*x^2+25/8*exp(x^2)))-Pi*csgn(I*((exp(x^2)+5/24)*x^2+25/8*exp(x^2)))*csgn(I*exp(-x^2)*((exp(x^2)+5/24)*x^2+25/8*exp(x^2)))^2-Pi*csgn(I*exp(-x^2))*csgn(I*exp(-x^2)*((exp(x^2)+5/24)*x^2+25/8*exp(x^2)))^2+Pi*csgn(I*exp(-x^2)*((exp(x^2)+5/24)*x^2+25/8*exp(x^2)))^3-Pi*csgn(I*exp(-x^2)*((exp(x^2)+5/24)*x^2+25/8*exp(x^2)))*csgn(I/x*((exp(x^2)+5/24)*x^2+25/8*exp(x^2))*exp(-x^2))^2+Pi*csgn(I*exp(-x^2)*((exp(x^2)+5/24)*x^2+25/8*exp(x^2)))*csgn(I/x*((exp(x^2)+5/24)*x^2+25/8*exp(x^2))*exp(-x^2))*csgn(I/x)-Pi*csgn(I/x*((exp(x^2)+5/24)*x^2+25/8*exp(x^2))*exp(-x^2))^3-Pi*csgn(I/x*((exp(x^2)+5/24)*x^2+25/8*exp(x^2))*exp(-x^2))^2*csgn(I/x)-2*Pi+2*I*ln((exp(x^2)+5/24)*x^2+25/8*exp(x^2))-2*I*ln(x)-2*I*ln(5)-2*I*ln(exp(x^2))+2*I*ln(3)+6*I*ln(2))","C"
5820,1,26,27,0.127000," ","int(((((-4*exp(2)-4*x)*ln(x+exp(2))-4*x*ln(x))*exp(ln(x)*ln(x+exp(2)))*exp(exp(ln(x)*ln(x+exp(2))))^2+x+exp(2))*exp(exp(exp(ln(x)*ln(x+exp(2))))^2)^2+(-x^2+5)*exp(2)-x^3+5*x)/((x+exp(2))*exp(exp(exp(ln(x)*ln(x+exp(2))))^2)^4+((2*x^2-2*x+10)*exp(2)+2*x^3-2*x^2+10*x)*exp(exp(exp(ln(x)*ln(x+exp(2))))^2)^2+(x^4-2*x^3+11*x^2-10*x+25)*exp(2)+x^5-2*x^4+11*x^3-10*x^2+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{x^{2}-x +{\mathrm e}^{2 \,{\mathrm e}^{2 \left(x +{\mathrm e}^{2}\right)^{\ln \left(x \right)}}}+5}$&$26$\\ \hline \end{longtable}"," ",0,"x/(x^2-x+exp(2*exp(2*(x+exp(2))^ln(x)))+5)","A"
5821,1,541,25,0.419000," ","int((((x^2+2*x)*ln(x)^2+(x^2+2*x)*ln(x))*ln(ln(x))^3+(4*x+4)*ln(x)*ln(4*x^2+8*x)*ln(ln(x))+(-2*x-4)*ln(4*x^2+8*x)^2)/(x^2+2*x)/ln(x)/ln(ln(x))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(x \right)+\frac{16 \ln \left(2\right)^{2}+4 \ln \left(x \right)^{2}+16 \ln \left(2\right) \ln \left(x \right)-8 i \ln \left(2\right) \pi  \mathrm{csgn}\left(i x \left(2+x \right)\right)^{3}-4 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \left(2+x \right)\right)^{3}-4 i \ln \left(2+x \right) \pi  \mathrm{csgn}\left(i x \left(2+x \right)\right)^{3}+2 \pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)-\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)^{2}-4 \pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(2+x \right)\right)+2 \pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{3} \mathrm{csgn}\left(i \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i x \right)+4 \ln \left(2+x \right)^{2}+8 \ln \left(x \right) \ln \left(2+x \right)-\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{4} \mathrm{csgn}\left(i \left(2+x \right)\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{5} \mathrm{csgn}\left(i x \right)+2 \pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{5} \mathrm{csgn}\left(i \left(2+x \right)\right)-\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{4} \mathrm{csgn}\left(i x \right)^{2}+16 \ln \left(2\right) \ln \left(2+x \right)-\pi^{2} \mathrm{csgn}\left(i x \left(2+x \right)\right)^{6}-4 i \ln \left(2+x \right) \pi  \,\mathrm{csgn}\left(i x \left(2+x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(2+x \right)\right)-4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \left(2+x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(2+x \right)\right)-8 i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(i x \left(2+x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(2+x \right)\right)+4 i \ln \left(2+x \right) \pi  \mathrm{csgn}\left(i x \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i x \right)+4 i \ln \left(2+x \right) \pi  \mathrm{csgn}\left(i x \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)+8 i \ln \left(2\right) \pi  \mathrm{csgn}\left(i x \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i x \right)+8 i \ln \left(2\right) \pi  \mathrm{csgn}\left(i x \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)+4 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i x \right)+4 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \left(2+x \right)\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)}{4 \ln \left(\ln \left(x \right)\right)^{2}}$&$541$\\ \hline \end{longtable}"," ",0,"x*ln(x)+1/4*(16*ln(2)^2+4*ln(x)^2+16*ln(2)*ln(x)-8*I*ln(2)*Pi*csgn(I*x*(2+x))^3-4*I*ln(x)*Pi*csgn(I*x*(2+x))^3-4*I*ln(2+x)*Pi*csgn(I*x*(2+x))^3+2*Pi^2*csgn(I*x*(2+x))^3*csgn(I*x)^2*csgn(I*(2+x))+2*Pi^2*csgn(I*x*(2+x))^3*csgn(I*(2+x))^2*csgn(I*x)-Pi^2*csgn(I*x*(2+x))^2*csgn(I*x)^2*csgn(I*(2+x))^2+4*ln(2+x)^2+4*I*ln(2+x)*Pi*csgn(I*x*(2+x))^2*csgn(I*x)+4*I*ln(2+x)*Pi*csgn(I*x*(2+x))^2*csgn(I*(2+x))+8*ln(x)*ln(2+x)-Pi^2*csgn(I*x*(2+x))^4*csgn(I*(2+x))^2-Pi^2*csgn(I*x*(2+x))^6+16*ln(2)*ln(2+x)-8*I*ln(2)*Pi*csgn(I*x*(2+x))*csgn(I*x)*csgn(I*(2+x))-4*I*ln(2+x)*Pi*csgn(I*x*(2+x))*csgn(I*x)*csgn(I*(2+x))-4*I*ln(x)*Pi*csgn(I*x*(2+x))*csgn(I*x)*csgn(I*(2+x))+2*Pi^2*csgn(I*x*(2+x))^5*csgn(I*x)+2*Pi^2*csgn(I*x*(2+x))^5*csgn(I*(2+x))-Pi^2*csgn(I*x*(2+x))^4*csgn(I*x)^2-4*Pi^2*csgn(I*x*(2+x))^4*csgn(I*x)*csgn(I*(2+x))+8*I*ln(2)*Pi*csgn(I*x*(2+x))^2*csgn(I*x)+8*I*ln(2)*Pi*csgn(I*x*(2+x))^2*csgn(I*(2+x))+4*I*ln(x)*Pi*csgn(I*x*(2+x))^2*csgn(I*x)+4*I*ln(x)*Pi*csgn(I*x*(2+x))^2*csgn(I*(2+x)))/ln(ln(x))^2","C"
5822,1,158,34,0.163000," ","int((((104*x^2-80*x-256)*exp(4)^2-1014*x^4-1716*x^3+2752*x^2+7424*x+4096)*ln(2-x)^3+((-26*x^4+52*x^3)*exp(4)^2-988*x^5-456*x^4+3328*x^3+3072*x^2)*ln(2-x)^2+((-8*x^5+42*x^4+32*x^3)*exp(4)^2-312*x^6+266*x^5+800*x^4)*ln(2-x)+8*x^5*exp(4)^2-32*x^7+72*x^6)/(((27*x^4+54*x^3-72*x^2-224*x-128)*exp(4)^6+(81*x^5+162*x^4-216*x^3-672*x^2-384*x)*exp(4)^4+(81*x^6+162*x^5-216*x^4-672*x^3-384*x^2)*exp(4)^2+27*x^7+54*x^6-72*x^5-224*x^4-128*x^3)*ln(2-x)^3+((27*x^5+18*x^4-96*x^3-96*x^2)*exp(4)^6+(81*x^6+54*x^5-288*x^4-288*x^3)*exp(4)^4+(81*x^7+54*x^6-288*x^5-288*x^4)*exp(4)^2+27*x^8+18*x^7-96*x^6-96*x^5)*ln(2-x)^2+((9*x^6-6*x^5-24*x^4)*exp(4)^6+(27*x^7-18*x^6-72*x^5)*exp(4)^4+(27*x^8-18*x^7-72*x^6)*exp(4)^2+9*x^9-6*x^8-24*x^7)*ln(2-x)+(x^7-2*x^6)*exp(4)^6+(3*x^8-6*x^7)*exp(4)^4+(3*x^9-6*x^8)*exp(4)^2+x^10-2*x^9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{169 x^{2}+416 x +256}{9 x^{2} {\mathrm e}^{16}+24 x \,{\mathrm e}^{16}+18 x^{3} {\mathrm e}^{8}+16 \,{\mathrm e}^{16}+48 x^{2} {\mathrm e}^{8}+9 x^{4}+32 x \,{\mathrm e}^{8}+24 x^{3}+16 x^{2}}-\frac{x^{3} \left(25 x^{3}+78 x^{2} \ln \left(2-x \right)+32 x^{2}+200 x \ln \left(2-x \right)+128 \ln \left(2-x \right)\right)}{\left(9 x^{2}+24 x +16\right) \left({\mathrm e}^{16}+2 x \,{\mathrm e}^{8}+x^{2}\right) \left(x^{2}+3 x \ln \left(2-x \right)+4 \ln \left(2-x \right)\right)^{2}}$&$158$\\ \hline \end{longtable}"," ",0,"(169*x^2+416*x+256)/(9*x^2*exp(16)+24*x*exp(16)+18*x^3*exp(8)+16*exp(16)+48*x^2*exp(8)+9*x^4+32*x*exp(8)+24*x^3+16*x^2)-x^3*(25*x^3+78*x^2*ln(2-x)+32*x^2+200*x*ln(2-x)+128*ln(2-x))/(9*x^2+24*x+16)/(exp(16)+2*x*exp(8)+x^2)/(x^2+3*x*ln(2-x)+4*ln(2-x))^2","B"
5823,1,29,22,0.252000," ","int((-100*ln(2)^4+(410*x-420)*ln(2)^2+2542*x+1240)*exp((100*ln(2)^4+(-820*x-400)*ln(2)^2+1681*x^2+1640*x+400)/(25*ln(2)^4+(-200*x-90)*ln(2)^2+400*x^2+360*x+81))/(125*ln(2)^6+(-1500*x-675)*ln(2)^4+(6000*x^2+5400*x+1215)*ln(2)^2-8000*x^3-10800*x^2-4860*x-729),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(10 \ln \left(2\right)^{2}-41 x -20\right)^{2}}{\left(5 \ln \left(2\right)^{2}-20 x -9\right)^{2}}}$&$29$\\ gosper&${\mathrm e}^{\frac{100 \ln \left(2\right)^{4}-820 x \ln \left(2\right)^{2}-400 \ln \left(2\right)^{2}+1681 x^{2}+1640 x +400}{25 \ln \left(2\right)^{4}-200 x \ln \left(2\right)^{2}-90 \ln \left(2\right)^{2}+400 x^{2}+360 x +81}}$&$63$\\ norman&$\frac{\left(25 \ln \left(2\right)^{4}-90 \ln \left(2\right)^{2}+81\right) {\mathrm e}^{\frac{100 \ln \left(2\right)^{4}+\left(-820 x -400\right) \ln \left(2\right)^{2}+1681 x^{2}+1640 x +400}{25 \ln \left(2\right)^{4}+\left(-200 x -90\right) \ln \left(2\right)^{2}+400 x^{2}+360 x +81}}+\left(-200 \ln \left(2\right)^{2}+360\right) x \,{\mathrm e}^{\frac{100 \ln \left(2\right)^{4}+\left(-820 x -400\right) \ln \left(2\right)^{2}+1681 x^{2}+1640 x +400}{25 \ln \left(2\right)^{4}+\left(-200 x -90\right) \ln \left(2\right)^{2}+400 x^{2}+360 x +81}}+400 x^{2} {\mathrm e}^{\frac{100 \ln \left(2\right)^{4}+\left(-820 x -400\right) \ln \left(2\right)^{2}+1681 x^{2}+1640 x +400}{25 \ln \left(2\right)^{4}+\left(-200 x -90\right) \ln \left(2\right)^{2}+400 x^{2}+360 x +81}}}{\left(5 \ln \left(2\right)^{2}-20 x -9\right)^{2}}$&$214$\\ derivativedivides&$-\frac{1271 i \sqrt{\pi}\, {\mathrm e}^{\frac{1681}{400}-\frac{\left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)^{2}}{4 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}} \erf \left(\frac{i \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}{-100 \ln \left(2\right)^{2}+400 x +180}+\frac{10 i \left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)}{\sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}\right)}{20 \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}+\frac{961 \,{\mathrm e}^{\frac{1681}{400}+\frac{\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}}{\left(-5 \ln \left(2\right)^{2}+20 x +9\right)^{2}}+\frac{\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}}{-5 \ln \left(2\right)^{2}+20 x +9}}}{400 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}+\frac{118203 i \sqrt{\pi}\, {\mathrm e}^{\frac{1681}{400}-\frac{\left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)^{2}}{4 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}} \erf \left(\frac{i \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}{-100 \ln \left(2\right)^{2}+400 x +180}+\frac{10 i \left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)}{\sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}\right) \ln \left(2\right)^{2}}{1600 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right) \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}+\frac{1221431 i \sqrt{\pi}\, {\mathrm e}^{\frac{1681}{400}-\frac{\left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)^{2}}{4 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}} \erf \left(\frac{i \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}{-100 \ln \left(2\right)^{2}+400 x +180}+\frac{10 i \left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)}{\sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}\right)}{8000 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right) \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}-\frac{41 i \ln \left(2\right)^{2} \sqrt{\pi}\, {\mathrm e}^{\frac{1681}{400}-\frac{\left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)^{2}}{4 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}} \erf \left(\frac{i \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}{-100 \ln \left(2\right)^{2}+400 x +180}+\frac{10 i \left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)}{\sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}\right)}{4 \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}+\frac{31 \ln \left(2\right)^{2} {\mathrm e}^{\frac{1681}{400}+\frac{\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}}{\left(-5 \ln \left(2\right)^{2}+20 x +9\right)^{2}}+\frac{\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}}{-5 \ln \left(2\right)^{2}+20 x +9}}}{40 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}+\frac{3813 i \ln \left(2\right)^{4} \sqrt{\pi}\, {\mathrm e}^{\frac{1681}{400}-\frac{\left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)^{2}}{4 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}} \erf \left(\frac{i \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}{-100 \ln \left(2\right)^{2}+400 x +180}+\frac{10 i \left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)}{\sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}\right)}{320 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right) \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}+\frac{\ln \left(2\right)^{4} {\mathrm e}^{\frac{1681}{400}+\frac{\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}}{\left(-5 \ln \left(2\right)^{2}+20 x +9\right)^{2}}+\frac{\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}}{-5 \ln \left(2\right)^{2}+20 x +9}}}{\ln \left(2\right)^{4}+\frac{62 \ln \left(2\right)^{2}}{5}+\frac{961}{25}}+\frac{41 i \ln \left(2\right)^{6} \sqrt{\pi}\, {\mathrm e}^{\frac{1681}{400}-\frac{\left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)^{2}}{4 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}} \erf \left(\frac{i \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}{-100 \ln \left(2\right)^{2}+400 x +180}+\frac{10 i \left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)}{\sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}\right)}{64 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right) \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}$&$987$\\ default&$-\frac{1271 i \sqrt{\pi}\, {\mathrm e}^{\frac{1681}{400}-\frac{\left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)^{2}}{4 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}} \erf \left(\frac{i \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}{-100 \ln \left(2\right)^{2}+400 x +180}+\frac{10 i \left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)}{\sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}\right)}{20 \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}+\frac{961 \,{\mathrm e}^{\frac{1681}{400}+\frac{\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}}{\left(-5 \ln \left(2\right)^{2}+20 x +9\right)^{2}}+\frac{\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}}{-5 \ln \left(2\right)^{2}+20 x +9}}}{400 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}+\frac{118203 i \sqrt{\pi}\, {\mathrm e}^{\frac{1681}{400}-\frac{\left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)^{2}}{4 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}} \erf \left(\frac{i \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}{-100 \ln \left(2\right)^{2}+400 x +180}+\frac{10 i \left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)}{\sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}\right) \ln \left(2\right)^{2}}{1600 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right) \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}+\frac{1221431 i \sqrt{\pi}\, {\mathrm e}^{\frac{1681}{400}-\frac{\left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)^{2}}{4 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}} \erf \left(\frac{i \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}{-100 \ln \left(2\right)^{2}+400 x +180}+\frac{10 i \left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)}{\sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}\right)}{8000 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right) \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}-\frac{41 i \ln \left(2\right)^{2} \sqrt{\pi}\, {\mathrm e}^{\frac{1681}{400}-\frac{\left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)^{2}}{4 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}} \erf \left(\frac{i \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}{-100 \ln \left(2\right)^{2}+400 x +180}+\frac{10 i \left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)}{\sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}\right)}{4 \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}+\frac{31 \ln \left(2\right)^{2} {\mathrm e}^{\frac{1681}{400}+\frac{\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}}{\left(-5 \ln \left(2\right)^{2}+20 x +9\right)^{2}}+\frac{\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}}{-5 \ln \left(2\right)^{2}+20 x +9}}}{40 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}+\frac{3813 i \ln \left(2\right)^{4} \sqrt{\pi}\, {\mathrm e}^{\frac{1681}{400}-\frac{\left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)^{2}}{4 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}} \erf \left(\frac{i \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}{-100 \ln \left(2\right)^{2}+400 x +180}+\frac{10 i \left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)}{\sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}\right)}{320 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right) \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}+\frac{\ln \left(2\right)^{4} {\mathrm e}^{\frac{1681}{400}+\frac{\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}}{\left(-5 \ln \left(2\right)^{2}+20 x +9\right)^{2}}+\frac{\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}}{-5 \ln \left(2\right)^{2}+20 x +9}}}{\ln \left(2\right)^{4}+\frac{62 \ln \left(2\right)^{2}}{5}+\frac{961}{25}}+\frac{41 i \ln \left(2\right)^{6} \sqrt{\pi}\, {\mathrm e}^{\frac{1681}{400}-\frac{\left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)^{2}}{4 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right)}} \erf \left(\frac{i \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}{-100 \ln \left(2\right)^{2}+400 x +180}+\frac{10 i \left(\frac{41 \ln \left(2\right)^{2}}{40}+\frac{1271}{200}\right)}{\sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}\right)}{64 \left(\frac{\ln \left(2\right)^{4}}{16}+\frac{31 \ln \left(2\right)^{2}}{40}+\frac{961}{400}\right) \sqrt{25 \ln \left(2\right)^{4}+310 \ln \left(2\right)^{2}+961}}$&$987$\\ \hline \end{longtable}"," ",0,"exp((10*ln(2)^2-41*x-20)^2/(5*ln(2)^2-20*x-9)^2)","A"
5824,1,25,26,0.487000," ","int((-3*x*ln(x)^2+6*ln(3/x)*ln(x)+(6+3*x)*ln(3/x))*exp(-3*x*ln(x)/(x*ln(x)*ln(ln(3/x))-x-2))/(x^2*ln(3/x)*ln(x)^2*ln(ln(3/x))^2+(-2*x^2-4*x)*ln(3/x)*ln(x)*ln(ln(3/x))+(x^2+4*x+4)*ln(3/x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{-\frac{3 x}{x \ln \left(x \right) \ln \left(\ln \left(3\right)-\ln \left(x \right)\right)-x -2}}$&$25$\\ \hline \end{longtable}"," ",0,"x^(-3*x/(x*ln(x)*ln(ln(3)-ln(x))-x-2))","A"
5825,1,33,18,0.285000," ","int(((x^2+4*x)*ln((5*x^4+80*x^3+480*x^2+1280*x+1280)/x)-3*x^2+19*x-20)/(4*x^2+16*x)/ln((5*x^4+80*x^3+480*x^2+1280*x+1280)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x -5}{4 \ln \left(\frac{5 x^{4}+80 x^{3}+480 x^{2}+1280 x +1280}{x}\right)}$&$33$\\ norman&$\frac{\frac{x}{4}-\frac{5}{4}}{\ln \left(\frac{5 x^{4}+80 x^{3}+480 x^{2}+1280 x +1280}{x}\right)}$&$34$\\ \hline \end{longtable}"," ",0,"1/4*(x-5)/ln((5*x^4+80*x^3+480*x^2+1280*x+1280)/x)","A"
5826,1,16,17,0.282000," ","int(2/(60*exp(1/exp(3)/ln(5))+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(60 \,{\mathrm e}^{\frac{{\mathrm e}^{-3}}{\ln \left(5\right)}}+x \right)$&$16$\\ default&$2 \ln \left(60 \,{\mathrm e}^{\frac{{\mathrm e}^{-3}}{\ln \left(5\right)}}+x \right)$&$18$\\ norman&$2 \ln \left(60 \,{\mathrm e}^{\frac{{\mathrm e}^{-3}}{\ln \left(5\right)}}+x \right)$&$18$\\ meijerg&$2 \ln \left(1+\frac{x \,{\mathrm e}^{-\frac{{\mathrm e}^{-3}}{\ln \left(5\right)}}}{60}\right)$&$18$\\ \hline \end{longtable}"," ",0,"2*ln(60*exp(exp(-3)/ln(5))+x)","A"
5827,1,59,24,0.041000," ","int((-9*x^8-16*x^7-364*x^6-624*x^5-5070*x^4-8112*x^3-26364*x^2-35152*x-28561)*exp(2)^4+4*x+5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{8} \left(-x^{9}-2 x^{8}-52 x^{7}-104 x^{6}-1014 x^{5}-2028 x^{4}-8788 x^{3}-17576 x^{2}-28561 x \right)+2 x^{2}+5 x$&$59$\\ risch&$-{\mathrm e}^{8} x^{9}-2 \,{\mathrm e}^{8} x^{8}-52 \,{\mathrm e}^{8} x^{7}-104 \,{\mathrm e}^{8} x^{6}-1014 x^{5} {\mathrm e}^{8}-2028 x^{4} {\mathrm e}^{8}-8788 x^{3} {\mathrm e}^{8}-17576 x^{2} {\mathrm e}^{8}-28561 x \,{\mathrm e}^{8}+2 x^{2}+5 x$&$71$\\ gosper&$-x \left({\mathrm e}^{8} x^{8}+2 \,{\mathrm e}^{8} x^{7}+52 \,{\mathrm e}^{8} x^{6}+104 x^{5} {\mathrm e}^{8}+1014 x^{4} {\mathrm e}^{8}+2028 x^{3} {\mathrm e}^{8}+8788 x^{2} {\mathrm e}^{8}+17576 x \,{\mathrm e}^{8}+28561 \,{\mathrm e}^{8}-2 x -5\right)$&$84$\\ norman&$\left(-28561 \,{\mathrm e}^{8}+5\right) x +\left(-17576 \,{\mathrm e}^{8}+2\right) x^{2}-8788 x^{3} {\mathrm e}^{8}-2028 x^{4} {\mathrm e}^{8}-1014 x^{5} {\mathrm e}^{8}-104 \,{\mathrm e}^{8} x^{6}-52 \,{\mathrm e}^{8} x^{7}-2 \,{\mathrm e}^{8} x^{8}-{\mathrm e}^{8} x^{9}$&$87$\\ \hline \end{longtable}"," ",0,"exp(2)^4*(-x^9-2*x^8-52*x^7-104*x^6-1014*x^5-2028*x^4-8788*x^3-17576*x^2-28561*x)+2*x^2+5*x","B"
5828,1,23,18,0.155000," ","int(1/4*((-x^2+4*x+4)*exp(1/4*(-x^2+4*x-4)/x)-16*x^2+24*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-\frac{\left(x -2\right)^{2}}{4 x}}+6 x -2 x^{2}$&$23$\\ norman&$x \,{\mathrm e}^{\frac{-x^{2}+4 x -4}{4 x}}+6 x -2 x^{2}$&$28$\\ \hline \end{longtable}"," ",0,"x*exp(-1/4*(x-2)^2/x)+6*x-2*x^2","A"
5829,1,12,17,0.038000," ","int(1/3*(-7*ln(5*x)^4+4*ln(5*x)^3)/x^8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{\ln \left(5 x \right)^{4}}{3 x^{7}}$&$12$\\ default&$\frac{\ln \left(5 x \right)^{4}}{3 x^{7}}$&$12$\\ risch&$\frac{\ln \left(5 x \right)^{4}}{3 x^{7}}$&$12$\\ \hline \end{longtable}"," ",0,"1/3*ln(5*x)^4/x^7","A"
5830,1,13,15,0.037000," ","int(-exp(3)*exp(5)+(4*x+1)*exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{3} x \left(-2 x +{\mathrm e}^{5}-1\right)$&$13$\\ risch&$-x \,{\mathrm e}^{8}+2 x^{2} {\mathrm e}^{3}+x \,{\mathrm e}^{3}$&$18$\\ default&$-x \,{\mathrm e}^{3} {\mathrm e}^{5}+{\mathrm e}^{3} \left(2 x^{2}+x \right)$&$19$\\ norman&$\left(-{\mathrm e}^{3} {\mathrm e}^{5}+{\mathrm e}^{3}\right) x +2 x^{2} {\mathrm e}^{3}$&$20$\\ \hline \end{longtable}"," ",0,"-exp(3)*x*(-2*x+exp(5)-1)","A"
5831,1,38,28,0.028000," ","int(1/625*((1250*x^3+1250*x^2+150*x)*ln(x)+1250*exp(x)^2*x^3+(-5000*x^4-5000*x^3)*exp(x)+21250*x^4+1875*x^3-150*x-18)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-8 \,{\mathrm e}^{x} x +17 x^{2}+x +\frac{9}{625 x^{2}}+{\mathrm e}^{2 x}+2 x \ln \left(x \right)+\ln \left(x \right)^{2}-\frac{6 \ln \left(x \right)}{25 x}$&$38$\\ risch&$\ln \left(x \right)^{2}+\frac{2 \left(25 x^{2}-3\right) \ln \left(x \right)}{25 x}+\frac{10625 x^{4}-5000 \,{\mathrm e}^{x} x^{3}+625 \,{\mathrm e}^{2 x} x^{2}+625 x^{3}+9}{625 x^{2}}$&$53$\\ \hline \end{longtable}"," ",0,"-8*exp(x)*x+17*x^2+x+9/625/x^2+exp(x)^2+2*x*ln(x)+ln(x)^2-6/25*ln(x)/x","A"
5832,1,22,21,0.286000," ","int(((((x^2+5*x)*exp(x)+5+x)*ln(5+x)+x)*exp(ln(x)+exp(x)+2)-ln(ln(3))*x)/(x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\ln \left(3\right)\right) \ln \left(5+x \right)+\ln \left(5+x \right) {\mathrm e}^{{\mathrm e}^{x}+2} x$&$22$\\ \hline \end{longtable}"," ",0,"-ln(ln(3))*ln(5+x)+ln(5+x)*exp(exp(x)+2)*x","A"
5833,1,5,14,0.005000," ","int(4/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(x \right)$&$5$\\ norman&$4 \ln \left(x \right)$&$5$\\ risch&$4 \ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"4*ln(x)","A"
5834,1,27,27,0.114000," ","int(((-exp(x)^2+(2*x-2)*exp(x)+2*x-1)*ln(exp(x)+1)+x*exp(x)^2+(-2*x^2+2*x+1)*exp(x)-3*x^2+2*x-3)/((exp(x)^2+(-x^2+x-2)*exp(x)-x^2+x-3)*ln(exp(x)+1)-x*exp(x)^2+(x^3-x^2+2*x)*exp(x)+x^3-x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(-x^{2}+x +{\mathrm e}^{x}-3\right)-\ln \left(\ln \left({\mathrm e}^{x}+1\right)-x \right)$&$27$\\ norman&$-\ln \left(x -\ln \left({\mathrm e}^{x}+1\right)\right)-\ln \left(x^{2}-{\mathrm e}^{x}-x +3\right)$&$29$\\ \hline \end{longtable}"," ",0,"-ln(-x^2+x+exp(x)-3)-ln(ln(exp(x)+1)-x)","A"
5835,1,10,15,0.049000," ","int(3*x*ln(2)*exp(3/2*x^2*ln(2)/exp(5))/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2^{\frac{3 \,{\mathrm e}^{-5} x^{2}}{2}}$&$10$\\ gosper&${\mathrm e}^{\frac{3 x^{2} {\mathrm e}^{-5} \ln \left(2\right)}{2}}$&$13$\\ derivativedivides&${\mathrm e}^{\frac{3 x^{2} {\mathrm e}^{-5} \ln \left(2\right)}{2}}$&$13$\\ default&${\mathrm e}^{\frac{3 x^{2} {\mathrm e}^{-5} \ln \left(2\right)}{2}}$&$13$\\ norman&${\mathrm e}^{\frac{3 x^{2} {\mathrm e}^{-5} \ln \left(2\right)}{2}}$&$13$\\ meijerg&$-1+{\mathrm e}^{\frac{3 x^{2} {\mathrm e}^{-5} \ln \left(2\right)}{2}}$&$13$\\ \hline \end{longtable}"," ",0,"2^(3/2*exp(-5)*x^2)","A"
5836,1,20,22,0.046000," ","int(((-8*x^3-12*x^2)*exp(x)^2*exp(2/(5*exp(x)^2*x^3+5))^2-10*x^6*exp(x)^4-20*exp(x)^2*x^3-10)/(5*x^6*exp(x)^4+10*exp(x)^2*x^3+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{4}{5 \left({\mathrm e}^{2 x} x^{3}+1\right)}}-2 x$&$20$\\ \hline \end{longtable}"," ",0,"exp(4/5/(exp(2*x)*x^3+1))-2*x","A"
5837,1,18,26,0.296000," ","int((-3*x^3+19*x^2-20*x-2)/(x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{3}+2 x^{2}-2 \ln \left(x -5\right)$&$18$\\ norman&$-x^{3}+2 x^{2}-2 \ln \left(x -5\right)$&$18$\\ risch&$-x^{3}+2 x^{2}-2 \ln \left(x -5\right)$&$18$\\ meijerg&$-2 \ln \left(1-\frac{x}{5}\right)-\frac{25 x \left(\frac{4}{25} x^{2}+\frac{6}{5} x +12\right)}{4}+\frac{95 x \left(\frac{3 x}{5}+6\right)}{6}-20 x$&$34$\\ \hline \end{longtable}"," ",0,"-x^3+2*x^2-2*ln(x-5)","A"
5838,1,33,27,0.405000," ","int((2*(-8*x^2-16*x+16)*ln(2)*exp(x)-128*ln(2)^3+4*(8*x^2+16)*ln(2)^2)/((5*x^2+20*x+20)*exp(x)^2+(4*(-10*x^2-40*x-40)*ln(2)^2+2*(-10*x^3-30*x^2+40)*ln(2))*exp(x)+16*(5*x^2+20*x+20)*ln(2)^4+8*(10*x^3+30*x^2-40)*ln(2)^3+4*(5*x^4+10*x^3-15*x^2-20*x+20)*ln(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{16 x \ln \left(2\right)}{5 \left(2+x \right) \left(4 \ln \left(2\right)^{2}+2 x \ln \left(2\right)-2 \ln \left(2\right)-{\mathrm e}^{x}\right)}$&$33$\\ risch&$-\frac{16 x \ln \left(2\right)}{5 \left(2+x \right) \left(4 \ln \left(2\right)^{2}+2 x \ln \left(2\right)-2 \ln \left(2\right)-{\mathrm e}^{x}\right)}$&$33$\\ \hline \end{longtable}"," ",0,"-16/5*x*ln(2)/(2+x)/(4*ln(2)^2+2*x*ln(2)-2*ln(2)-exp(x))","A"
5839,1,14,13,0.295000," ","int(132*ln((exp(x)-22)/exp(x))/(exp(x)-22),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$3 \ln \left(1-22 \,{\mathrm e}^{-x}\right)^{2}$&$14$\\ default&$3 \ln \left(1-22 \,{\mathrm e}^{-x}\right)^{2}$&$14$\\ norman&$3 \ln \left({\mathrm e}^{-x} \left({\mathrm e}^{x}-22\right)\right)^{2}$&$15$\\ risch&$132 \left(\frac{x}{22}-\frac{\ln \left({\mathrm e}^{x}-22\right)}{22}\right) \ln \left({\mathrm e}^{x}\right)+3 \ln \left({\mathrm e}^{x}-22\right)^{2}-3 x^{2}-3 i \pi  x \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-22\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-22\right)\right)^{2}+3 i \pi  x \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-22\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-22\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)+3 i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-22\right)\right)^{3}-3 i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-22\right)\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)+3 i \pi  \ln \left({\mathrm e}^{x}-22\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-22\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-22\right)\right)^{2}-3 i \pi  \ln \left({\mathrm e}^{x}-22\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-22\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-22\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)-3 i \pi  \ln \left({\mathrm e}^{x}-22\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-22\right)\right)^{3}+3 i \pi  \ln \left({\mathrm e}^{x}-22\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-22\right)\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)$&$260$\\ \hline \end{longtable}"," ",0,"3*ln(1-22/exp(x))^2","A"
5840,1,26,16,0.107000," ","int((ln(3)^2+(2*ln(2)-3*x+16)*ln(3)+ln(2)^2+(-3*x+16)*ln(2)+4*x^2-24*x+64)/(x*ln(3)^2+(2*x*ln(2)-4*x^2+16*x)*ln(3)+x*ln(2)^2+(-4*x^2+16*x)*ln(2)+4*x^3-32*x^2+64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{\ln \left(3\right)}{2}+\frac{\ln \left(2\right)}{2}+4}{\ln \left(3\right)+8-2 x +\ln \left(2\right)}+\ln \left(x \right)$&$26$\\ default&$-\frac{\frac{\ln \left(3\right)}{2}+\frac{\ln \left(2\right)}{2}+4}{-\ln \left(3\right)-8+2 x -\ln \left(2\right)}+\ln \left(x \right)$&$31$\\ risch&$\frac{\ln \left(3\right)}{2 \ln \left(3\right)+16-4 x +2 \ln \left(2\right)}+\frac{\ln \left(2\right)}{2 \ln \left(3\right)+16-4 x +2 \ln \left(2\right)}+\frac{4}{\ln \left(3\right)+8-2 x +\ln \left(2\right)}+\ln \left(x \right)$&$47$\\ \hline \end{longtable}"," ",0,"(1/2*ln(3)+1/2*ln(2)+4)/(ln(3)+8-2*x+ln(2))+ln(x)","A"
5841,1,34,24,0.061000," ","int((((16*x^3-16*x^2)*exp(x)*ln(x)+(-16*x^4+16*x^3)*exp(x))*ln(ln(x)-x)+(1-x)*exp(x)^3+(3*x^2-3*x)*exp(x)^2+(-3*x^3+3*x^2)*exp(x)+x^4-x^3)/((x*exp(x)^3-3*exp(x)^2*x^2+3*exp(x)*x^3-x^4)*ln(x)-x^2*exp(x)^3+3*exp(x)^2*x^3-3*exp(x)*x^4+x^5)/exp(8*x^2/(exp(x)^2-2*exp(x)*x+x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{8 x^{2}}{-{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x -x^{2}}} \ln \left(\ln \left(x \right)-x \right)$&$34$\\ \hline \end{longtable}"," ",0,"exp(8*x^2/(-exp(2*x)+2*exp(x)*x-x^2))*ln(ln(x)-x)","A"
5842,1,17,20,0.028000," ","int(1/12*((20*x^2+55*x+15)*exp(x)*ln(2*x)+(-20*x-15)*exp(x))/ln(2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x \,{\mathrm e}^{x} \left(3+4 x \right)}{12 \ln \left(2 x \right)}$&$17$\\ norman&$\frac{\frac{5 \,{\mathrm e}^{x} x}{4}+\frac{5 \,{\mathrm e}^{x} x^{2}}{3}}{\ln \left(2 x \right)}$&$21$\\ \hline \end{longtable}"," ",0,"5/12*x*exp(x)*(3+4*x)/ln(2*x)","A"
5843,1,7,25,0.022000," ","int(-2*x-4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\left(4+x \right) x$&$7$\\ default&$-x^{2}-4 x$&$10$\\ norman&$-x^{2}-4 x$&$10$\\ risch&$-x^{2}-4 x$&$10$\\ \hline \end{longtable}"," ",0,"-(4+x)*x","A"
5844,1,52,22,0.059000," ","int(((2*x^9-76*x^8+1120*x^7-7680*x^6+20480*x^5+16384*x^4-131072*x^3)*ln(x)+x^9-35*x^8+440*x^7-1920*x^6-5120*x^5+69632*x^4-163840*x^3+6*x-16)/(x^8-40*x^7+640*x^6-5120*x^5+20480*x^4-32768*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x \ln \left(x \right)+x +x^{2} \ln \left(x \right)-\frac{1}{64 \left(-8+x \right)^{4}}+\frac{1}{256 \left(-8+x \right)^{3}}-\frac{3}{4096 \left(-8+x \right)^{2}}+\frac{1}{-65536+8192 x}-\frac{1}{4096 x^{2}}-\frac{1}{8192 x}$&$52$\\ risch&$\left(x^{2}+4 x \right) \ln \left(x \right)+\frac{x^{7}-32 x^{6}+384 x^{5}-2048 x^{4}+4096 x^{3}-1}{x^{2} \left(x^{4}-32 x^{3}+384 x^{2}-2048 x +4096\right)}$&$61$\\ norman&$\frac{-1+x^{7}+x^{8} \ln \left(x \right)-\frac{20480 x^{3}}{3}-\frac{80 x^{6}}{3}+\frac{640 x^{5}}{3}+\frac{65536 x^{2}}{3}-\frac{16384 x^{3} \ln \left(x \right)}{3}-\frac{2560 x^{5} \ln \left(x \right)}{3}+\frac{800 x^{6} \ln \left(x \right)}{3}+\frac{131072 x^{2} \ln \left(x \right)}{3}-28 x^{7} \ln \left(x \right)}{x^{2} \left(-8+x \right)^{4}}-\frac{32 \ln \left(x \right)}{3}$&$81$\\ \hline \end{longtable}"," ",0,"4*x*ln(x)+x+x^2*ln(x)-1/64/(-8+x)^4+1/256/(-8+x)^3-3/4096/(-8+x)^2+1/8192/(-8+x)-1/4096/x^2-1/8192/x","B"
5845,1,17,18,0.035000," ","int((x^4+14*x^3+30*x^2-15*x-5)/(x^4+10*x^3-15*x+10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\ln \left(x^{4}+10 x^{3}-15 x +10\right)$&$17$\\ norman&$x +\ln \left(x^{4}+10 x^{3}-15 x +10\right)$&$17$\\ risch&$x +\ln \left(x^{4}+10 x^{3}-15 x +10\right)$&$17$\\ \hline \end{longtable}"," ",0,"x+ln(x^4+10*x^3-15*x+10)","A"
5846,1,2358,28,0.485000," ","int((((2*x^2-14*x+20)*ln(1/4*x^2-5/2*x+25/4)-2*x^3+8*x)*ln(x^2-4*x+4)+(-2*x^3+6*x^2+20*x)*ln(1/4*x^2-5/2*x+25/4))/(x^4-7*x^3+10*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2358$\\ \hline \end{longtable}"," ",0,"2*(I*Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)-2*I*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2+I*Pi*csgn(I*(x-5)^2)^3-2*x*ln(x-5)+4*ln(2)-4*ln(x-5))/x*ln(x-2)+1/2*I*(2*I*Pi^2*csgn(I*(x-2))^2*csgn(I*(x-2)^2)*csgn(I*(x-5))*csgn(I*(x-5)^2)^2-I*Pi^2*csgn(I*(x-2)^2)^3*csgn(I*(x-5)^2)^3-8*I*ln(2)*ln((25*Pi*csgn(I*(x-2)^2)^3-25*Pi*csgn(I*(x-5)^2)^3-25*Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)+50*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2+100*I*ln(2)+25*Pi*csgn(I*(x-2))^2*csgn(I*(x-2)^2)-50*Pi*csgn(I*(x-2))*csgn(I*(x-2)^2)^2)*x+50*Pi*csgn(I*(x-5)^2)^3+50*Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)-100*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2-50*Pi*csgn(I*(x-2))^2*csgn(I*(x-2)^2)+100*Pi*csgn(I*(x-2))*csgn(I*(x-2)^2)^2-200*I*ln(2)-50*Pi*csgn(I*(x-2)^2)^3)*x+2*I*Pi^2*csgn(I*(x-2)^2)^3*csgn(I*(x-5))*csgn(I*(x-5)^2)^2+2*Pi*ln((-2*Pi*csgn(I*(x-2))^2*csgn(I*(x-2)^2)+4*Pi*csgn(I*(x-2))*csgn(I*(x-2)^2)^2-2*Pi*csgn(I*(x-2)^2)^3+2*Pi*csgn(I*(x-5)^2)^3-8*I*ln(2)+2*Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)-4*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2)*x-10*Pi*csgn(I*(x-5)^2)^3-10*Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)+20*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2+10*Pi*csgn(I*(x-2))^2*csgn(I*(x-2)^2)-20*Pi*csgn(I*(x-2))*csgn(I*(x-2)^2)^2+10*Pi*csgn(I*(x-2)^2)^3+40*I*ln(2))*csgn(I*(x-2)^2)^3*x+2*Pi*ln((25*Pi*csgn(I*(x-2)^2)^3-25*Pi*csgn(I*(x-5)^2)^3-25*Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)+50*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2+100*I*ln(2)+25*Pi*csgn(I*(x-2))^2*csgn(I*(x-2)^2)-50*Pi*csgn(I*(x-2))*csgn(I*(x-2)^2)^2)*x+50*Pi*csgn(I*(x-5)^2)^3+50*Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)-100*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2-50*Pi*csgn(I*(x-2))^2*csgn(I*(x-2)^2)+100*Pi*csgn(I*(x-2))*csgn(I*(x-2)^2)^2-200*I*ln(2)-50*Pi*csgn(I*(x-2)^2)^3)*csgn(I*(x-5)^2)^3*x-4*Pi*ln(2)*csgn(I*(x-2))^2*csgn(I*(x-2)^2)+8*Pi*ln(2)*csgn(I*(x-2))*csgn(I*(x-2)^2)^2+4*Pi*csgn(I*(x-2))^2*csgn(I*(x-2)^2)*ln(x-5)-8*Pi*csgn(I*(x-2))*csgn(I*(x-2)^2)^2*ln(x-5)-4*I*Pi^2*csgn(I*(x-2))*csgn(I*(x-2)^2)^2*csgn(I*(x-5))*csgn(I*(x-5)^2)^2-I*Pi^2*csgn(I*(x-2))^2*csgn(I*(x-2)^2)*csgn(I*(x-5))^2*csgn(I*(x-5)^2)-4*Pi*ln(2)*csgn(I*(x-2)^2)^3+4*Pi*csgn(I*(x-2)^2)^3*ln(x-5)+2*I*Pi^2*csgn(I*(x-2))*csgn(I*(x-2)^2)^2*csgn(I*(x-5)^2)^3+2*I*Pi^2*csgn(I*(x-2))*csgn(I*(x-2)^2)^2*csgn(I*(x-5))^2*csgn(I*(x-5)^2)-I*Pi^2*csgn(I*(x-2))^2*csgn(I*(x-2)^2)*csgn(I*(x-5)^2)^3-I*Pi^2*csgn(I*(x-2)^2)^3*csgn(I*(x-5))^2*csgn(I*(x-5)^2)+2*Pi*ln((-2*Pi*csgn(I*(x-2))^2*csgn(I*(x-2)^2)+4*Pi*csgn(I*(x-2))*csgn(I*(x-2)^2)^2-2*Pi*csgn(I*(x-2)^2)^3+2*Pi*csgn(I*(x-5)^2)^3-8*I*ln(2)+2*Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)-4*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2)*x-10*Pi*csgn(I*(x-5)^2)^3-10*Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)+20*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2+10*Pi*csgn(I*(x-2))^2*csgn(I*(x-2)^2)-20*Pi*csgn(I*(x-2))*csgn(I*(x-2)^2)^2+10*Pi*csgn(I*(x-2)^2)^3+40*I*ln(2))*csgn(I*(x-2))^2*csgn(I*(x-2)^2)*x-4*Pi*ln((-2*Pi*csgn(I*(x-2))^2*csgn(I*(x-2)^2)+4*Pi*csgn(I*(x-2))*csgn(I*(x-2)^2)^2-2*Pi*csgn(I*(x-2)^2)^3+2*Pi*csgn(I*(x-5)^2)^3-8*I*ln(2)+2*Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)-4*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2)*x-10*Pi*csgn(I*(x-5)^2)^3-10*Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)+20*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2+10*Pi*csgn(I*(x-2))^2*csgn(I*(x-2)^2)-20*Pi*csgn(I*(x-2))*csgn(I*(x-2)^2)^2+10*Pi*csgn(I*(x-2)^2)^3+40*I*ln(2))*csgn(I*(x-2))*csgn(I*(x-2)^2)^2*x+2*Pi*ln((25*Pi*csgn(I*(x-2)^2)^3-25*Pi*csgn(I*(x-5)^2)^3-25*Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)+50*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2+100*I*ln(2)+25*Pi*csgn(I*(x-2))^2*csgn(I*(x-2)^2)-50*Pi*csgn(I*(x-2))*csgn(I*(x-2)^2)^2)*x+50*Pi*csgn(I*(x-5)^2)^3+50*Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)-100*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2-50*Pi*csgn(I*(x-2))^2*csgn(I*(x-2)^2)+100*Pi*csgn(I*(x-2))*csgn(I*(x-2)^2)^2-200*I*ln(2)-50*Pi*csgn(I*(x-2)^2)^3)*csgn(I*(x-5))^2*csgn(I*(x-5)^2)*x-4*Pi*ln((25*Pi*csgn(I*(x-2)^2)^3-25*Pi*csgn(I*(x-5)^2)^3-25*Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)+50*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2+100*I*ln(2)+25*Pi*csgn(I*(x-2))^2*csgn(I*(x-2)^2)-50*Pi*csgn(I*(x-2))*csgn(I*(x-2)^2)^2)*x+50*Pi*csgn(I*(x-5)^2)^3+50*Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)-100*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2-50*Pi*csgn(I*(x-2))^2*csgn(I*(x-2)^2)+100*Pi*csgn(I*(x-2))*csgn(I*(x-2)^2)^2-200*I*ln(2)-50*Pi*csgn(I*(x-2)^2)^3)*csgn(I*(x-5))*csgn(I*(x-5)^2)^2*x)/x","C"
5847,1,9,29,0.016000," ","int(3*ln(2)-5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(3 \ln \left(2\right)-5\right) x$&$9$\\ norman&$\left(3 \ln \left(2\right)-5\right) x$&$9$\\ risch&$3 x \ln \left(2\right)-5 x$&$10$\\ \hline \end{longtable}"," ",0,"(3*ln(2)-5)*x","A"
5848,1,31,25,0.296000," ","int((((-5*x^3+5*x^2)*exp(2)-20*x^4+20*x^3)*ln(exp(2)+4*x)+(-5*x^2*exp(2)-20*x^3)*exp(x)+(x^2-10*x-10)*exp(2)+24*x^3-40*x^2-40*x)/(5*x^2*exp(2)+20*x^3)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\frac{\left(10-x +5 x^{2} \ln \left({\mathrm e}^{2}+4 x \right)\right) {\mathrm e}^{-x}}{5 x}$&$31$\\ norman&$\frac{\left(2+x^{2} \ln \left({\mathrm e}^{2}+4 x \right)-\frac{x}{5}-{\mathrm e}^{x} x^{2}\right) {\mathrm e}^{-x}}{x}$&$32$\\ risch&$x \,{\mathrm e}^{-x} \ln \left({\mathrm e}^{2}+4 x \right)-\frac{\left(5 \,{\mathrm e}^{x} x^{2}+x -10\right) {\mathrm e}^{-x}}{5 x}$&$34$\\ \hline \end{longtable}"," ",0,"-x+1/5*(10-x+5*x^2*ln(exp(2)+4*x))/exp(x)/x","A"
5849,1,17,27,0.033000," ","int((-x^3+3*x^2-2*x-2)/(x^3-2*x^2-2*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\ln \left(x^{2}-2\right)-\ln \left(x -2\right)$&$17$\\ norman&$-x +\ln \left(x^{2}-2\right)-\ln \left(x -2\right)$&$17$\\ risch&$-x +\ln \left(x^{2}-2\right)-\ln \left(x -2\right)$&$17$\\ \hline \end{longtable}"," ",0,"-x+ln(x^2-2)-ln(x-2)","A"
5850,1,19,18,0.122000," ","int((-x*ln(4*x/exp(x))-x^2+7*x-1)/(4*x^3-8*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{\ln \left(4 x \,{\mathrm e}^{-x}\right)}{4}-\frac{5}{4}}{x -1}$&$19$\\ default&$\frac{\ln \left(4 x \,{\mathrm e}^{-x}\right)}{4 x -4}-\frac{5}{4 \left(x -1\right)}$&$24$\\ risch&$-\frac{\ln \left({\mathrm e}^{x}\right)}{4 \left(x -1\right)}+\frac{-10-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}-i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}+4 \ln \left(2\right)+2 \ln \left(x \right)}{8 x -8}$&$113$\\ \hline \end{longtable}"," ",0,"(1/4*ln(4*x/exp(x))-5/4)/(x-1)","A"
5851,1,34,22,0.042000," ","int((2*x^7+3*x^6+2503*x^4+3750*x^3+777500*x+1171875)/(x^8+3*x^7+29*x^6+1247*x^5+3750*x^4+36250*x^3+388750*x^2+1171875*x+11328125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x^{5}+3 x^{4}+29 x^{3}+622 x^{2}+1875 x +18125\right)-\ln \left(x^{3}+625\right)$&$34$\\ norman&$\ln \left(x^{5}+3 x^{4}+29 x^{3}+622 x^{2}+1875 x +18125\right)-\ln \left(x^{3}+625\right)$&$34$\\ risch&$\ln \left(x^{5}+3 x^{4}+29 x^{3}+622 x^{2}+1875 x +18125\right)-\ln \left(x^{3}+625\right)$&$34$\\ \hline \end{longtable}"," ",0,"ln(x^5+3*x^4+29*x^3+622*x^2+1875*x+18125)-ln(x^3+625)","A"
5852,1,9,13,0.023000," ","int((8*exp(x)*x-8)*exp(exp(x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{8 \,{\mathrm e}^{{\mathrm e}^{x}}}{x}$&$9$\\ risch&$\frac{8 \,{\mathrm e}^{{\mathrm e}^{x}}}{x}$&$9$\\ \hline \end{longtable}"," ",0,"8*exp(exp(x))/x","A"
5853,1,30,18,0.033000," ","int((ln(5)+exp(5)^2+1)*exp(exp(exp(1)))^2+4*ln(5)+4*exp(5)^2+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(\left(\ln \left(5\right)+{\mathrm e}^{10}+1\right) {\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}}}+4 \ln \left(5\right)+4 \,{\mathrm e}^{10}+4\right) x$&$30$\\ norman&$\left({\mathrm e}^{10} {\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}}}+{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}}} \ln \left(5\right)+4 \,{\mathrm e}^{10}+{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}}}+4 \ln \left(5\right)+4\right) x$&$41$\\ risch&${\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}}} x \,{\mathrm e}^{10}+{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}}} x \ln \left(5\right)+{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}}} x +4 x \ln \left(5\right)+4 x \,{\mathrm e}^{10}+4 x$&$43$\\ \hline \end{longtable}"," ",0,"((ln(5)+exp(5)^2+1)*exp(exp(exp(1)))^2+4*ln(5)+4*exp(5)^2+4)*x","A"
5854,1,12,13,0.390000," ","int((-3*x+12)/(x^2+2*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 \ln \left(4+x \right)+\ln \left(x -2\right)$&$12$\\ norman&$-4 \ln \left(4+x \right)+\ln \left(x -2\right)$&$12$\\ risch&$-4 \ln \left(4+x \right)+\ln \left(x -2\right)$&$12$\\ \hline \end{longtable}"," ",0,"-4*ln(4+x)+ln(x-2)","A"
5855,1,39,19,0.100000," ","int(((-2*x^3+96*x+144)*ln(2)-x^4-24*x^3-216*x^2-864*x-1296)/((x^2-8*x+16)*ln(2)^2+(2*x^3+16*x^2-24*x-288)*ln(2)+x^4+24*x^3+216*x^2+864*x+1296),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{-x^{3}+12 x \ln \left(2\right)-48 \ln \left(2\right)+108 x +432}{x \ln \left(2\right)+x^{2}-4 \ln \left(2\right)+12 x +36}$&$39$\\ norman&$\frac{\left(108+12 \ln \left(2\right)\right) x -x^{3}-48 \ln \left(2\right)+432}{x \ln \left(2\right)+x^{2}-4 \ln \left(2\right)+12 x +36}$&$39$\\ default&$-x +\frac{\ln \left(2\right) \left(\left(-16-\ln \left(2\right)\right) x +4 \ln \left(2\right)-36\right)}{x \ln \left(2\right)+x^{2}-4 \ln \left(2\right)+12 x +36}$&$40$\\ risch&$-x +\frac{\left(-\ln \left(2\right)^{2}-16 \ln \left(2\right)\right) x +4 \ln \left(2\right)^{2}-36 \ln \left(2\right)}{x \ln \left(2\right)+x^{2}-4 \ln \left(2\right)+12 x +36}$&$48$\\ \hline \end{longtable}"," ",0,"(-x^3+12*x*ln(2)-48*ln(2)+108*x+432)/(x*ln(2)+x^2-4*ln(2)+12*x+36)","A"
5856,1,61,30,0.380000," ","int(((3*x^2*ln(5)-6*x^2+24*x+24)*exp(x)^2+(-12*x^2*ln(5)-3*x^4-6*x^3+30*x^2-96*x-96)*exp(x)+12*x^2*ln(5)-36*x^2+96*x+96)/((x^2*ln(5)^2+(2*x^3+8*x)*ln(5)+x^4+8*x^2+16)*exp(x)^2+(-4*x^2*ln(5)^2+(-10*x^3-32*x)*ln(5)-6*x^4-40*x^2-64)*exp(x)+4*x^2*ln(5)^2+(12*x^3+32*x)*ln(5)+9*x^4+48*x^2+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-12 \,{\mathrm e}^{x}+3 x^{2}+\left(-12+6 \ln \left(5\right)\right) x +\left(-3 \ln \left(5\right)+6\right) x \,{\mathrm e}^{x}+24}{x \,{\mathrm e}^{x} \ln \left(5\right)+{\mathrm e}^{x} x^{2}-2 x \ln \left(5\right)-3 x^{2}+4 \,{\mathrm e}^{x}-8}$&$61$\\ risch&$\frac{\left(-3 \ln \left(5\right)+6\right) x -12}{x \ln \left(5\right)+x^{2}+4}+\frac{3 \left(2+x \right) x^{3}}{\left(x \ln \left(5\right)+x^{2}+4\right) \left(x \,{\mathrm e}^{x} \ln \left(5\right)+{\mathrm e}^{x} x^{2}-2 x \ln \left(5\right)-3 x^{2}+4 \,{\mathrm e}^{x}-8\right)}$&$73$\\ \hline \end{longtable}"," ",0,"(-12*exp(x)+3*x^2+(-12+6*ln(5))*x+(-3*ln(5)+6)*x*exp(x)+24)/(x*exp(x)*ln(5)+exp(x)*x^2-2*x*ln(5)-3*x^2+4*exp(x)-8)","A"
5857,1,197,27,0.128000," ","int((((-3*x^2+21*x-48)*exp(4+x)-3*x^5+21*x^4-51*x^3+21*x^2-48*x)*ln((x^2-7*x+16)/(exp(4+x)+x^3+x))+(3*x^3-27*x^2+69*x)*exp(4+x)+3*x^5-42*x^4+141*x^3+48*x)/((x^4-7*x^3+16*x^2)*exp(4+x)+x^7-7*x^6+17*x^5-7*x^4+16*x^3)/ln((x^2-7*x+16)/(exp(4+x)+x^3+x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 i}{x \left(\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{4+x}+x^{3}+x}\right) \mathrm{csgn}\left(i \left(x^{2}-7 x +16\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-7 x +16\right)}{{\mathrm e}^{4+x}+x^{3}+x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{4+x}+x^{3}+x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-7 x +16\right)}{{\mathrm e}^{4+x}+x^{3}+x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x^{2}-7 x +16\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-7 x +16\right)}{{\mathrm e}^{4+x}+x^{3}+x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x^{2}-7 x +16\right)}{{\mathrm e}^{4+x}+x^{3}+x}\right)^{3}+2 i \ln \left(x^{2}-7 x +16\right)-2 i \ln \left({\mathrm e}^{4+x}+x^{3}+x \right)\right)}$&$197$\\ \hline \end{longtable}"," ",0,"6*I/x/(Pi*csgn(I/(exp(4+x)+x^3+x))*csgn(I*(x^2-7*x+16))*csgn(I*(x^2-7*x+16)/(exp(4+x)+x^3+x))-Pi*csgn(I/(exp(4+x)+x^3+x))*csgn(I*(x^2-7*x+16)/(exp(4+x)+x^3+x))^2-Pi*csgn(I*(x^2-7*x+16))*csgn(I*(x^2-7*x+16)/(exp(4+x)+x^3+x))^2+Pi*csgn(I*(x^2-7*x+16)/(exp(4+x)+x^3+x))^3+2*I*ln(x^2-7*x+16)-2*I*ln(exp(4+x)+x^3+x))","C"
5858,1,24,24,0.317000," ","int((((9*x^2-9)*exp(1/x)*exp(x)^2+(9*x^4-9*x^2-45)*exp(1/x)*exp(x)-45*x^2*exp(1/x))*ln(1/3*x^2+1/3*exp(x))^2+(18*x^2*exp(1/x)*exp(x)^2+(36*x^3+90*x^2)*exp(1/x)*exp(x)+180*x^3*exp(1/x))*ln(1/3*x^2+1/3*exp(x)))/(exp(x)*x^2+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 \left({\mathrm e}^{x}+5\right) {\mathrm e}^{\frac{1}{x}} \ln \left(\frac{x^{2}}{3}+\frac{{\mathrm e}^{x}}{3}\right)^{2}$&$24$\\ \hline \end{longtable}"," ",0,"9*(exp(x)+5)*exp(1/x)*ln(1/3*x^2+1/3*exp(x))^2","A"
5859,1,51,22,0.098000," ","int((((3*exp(x)*x^2+6*x)*ln(x)+3*x)*ln(ln(2))+(-3*exp(x)*x^3-9*x^2)*ln(x)+3*exp(x)*x^3+6*x^2)*exp(exp(x))+(96*x*ln(x)+48*x)*ln(ln(2))-144*x^2*ln(x)+96*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(3 \ln \left(\ln \left(2\right)\right) x^{2} \ln \left(x \right)-3 x^{3} \ln \left(x \right)+3 x^{3}\right) {\mathrm e}^{{\mathrm e}^{x}}+48 \ln \left(\ln \left(2\right)\right) x^{2} \ln \left(x \right)-48 x^{3} \ln \left(x \right)+48 x^{3}$&$51$\\ \hline \end{longtable}"," ",0,"(3*ln(ln(2))*x^2*ln(x)-3*x^3*ln(x)+3*x^3)*exp(exp(x))+48*ln(ln(2))*x^2*ln(x)-48*x^3*ln(x)+48*x^3","B"
5860,1,8,7,0.018000," ","int(1/2*(ln(x)-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(x \right)}{2 x}$&$8$\\ norman&$-\frac{\ln \left(x \right)}{2 x}$&$8$\\ risch&$-\frac{\ln \left(x \right)}{2 x}$&$8$\\ \hline \end{longtable}"," ",0,"-1/2*ln(x)/x","A"
5861,1,22,22,0.180000," ","int(((6-4*x)*exp(1/2)+4*x^2+12*x-18)/(exp(1/2)^2+(-2*x^2+2*x-6)*exp(1/2)+x^4-2*x^3+7*x^2-6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{2 \left(-3-2 x +{\mathrm e}^{\frac{1}{2}}\right)}{-x^{2}+{\mathrm e}^{\frac{1}{2}}+x -3}$&$22$\\ norman&$\frac{4 x -2 \,{\mathrm e}^{\frac{1}{2}}+6}{-x^{2}+{\mathrm e}^{\frac{1}{2}}+x -3}$&$23$\\ risch&$\frac{4 x -2 \,{\mathrm e}^{\frac{1}{2}}+6}{-x^{2}+{\mathrm e}^{\frac{1}{2}}+x -3}$&$23$\\ \hline \end{longtable}"," ",0,"-2*(-3-2*x+exp(1/2))/(-x^2+exp(1/2)+x-3)","A"
5862,1,27,22,0.088000," ","int(1/9*((9*ln(2)^2*ln(x)^5-4*x)*exp(1/9*(-9*ln(2)^2*ln(x)^4+x)/x/ln(x)^4)+9*x^2*ln(x)^5)/x^2/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-\frac{9 \ln \left(2\right)^{2} \ln \left(x \right)^{4}-x}{9 x \ln \left(x \right)^{4}}}$&$27$\\ \hline \end{longtable}"," ",0,"x+exp(-1/9*(9*ln(2)^2*ln(x)^4-x)/x/ln(x)^4)","A"
5863,1,28,23,0.068000," ","int(((12*x^2+108)*exp(2*x)*ln(x^2+9)*exp(exp(2*x))*ln(ln(x^2+9))^2+((2*x^3-24*x^2+18*x-216)*exp(2*x)+x^2+9)*ln(x^2+9)*exp(exp(2*x))*ln(ln(x^2+9))+(((-2*x^3+12*x^2-18*x+108)*exp(2*x)-x^2-9)*ln(x^2+9)-2*x^2)*exp(exp(2*x)))/((3*x^2+27)*ln(x^2+9)*ln(ln(x^2+9))^2+(-6*x^2-54)*ln(x^2+9)*ln(ln(x^2+9))+(3*x^2+27)*ln(x^2+9)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{{\mathrm e}^{2 x}}+\frac{x \,{\mathrm e}^{{\mathrm e}^{2 x}}}{3 \ln \left(\ln \left(x^{2}+9\right)\right)-3}$&$28$\\ \hline \end{longtable}"," ",0,"2*exp(exp(2*x))+1/3*x*exp(exp(2*x))/(ln(ln(x^2+9))-1)","A"
5864,1,35,28,0.709000," ","int((((4*x^3+1)*ln(2)^2+(40*x^3+10)*ln(2)+100*x^3+25)*exp(x)^3+((-12*x^5-60*x^4-156*x^3-3*x^2-15*x-39)*ln(2)^2+(-120*x^5-600*x^4-1560*x^3-30*x^2-150*x-390)*ln(2)-300*x^5-1500*x^4-3900*x^3-75*x^2-375*x-975)*exp(x)^2+((12*x^7+120*x^6+612*x^5+1563*x^4+2058*x^3+153*x^2+390*x+507)*ln(2)^2+(120*x^7+1200*x^6+6120*x^5+15630*x^4+20580*x^3+1530*x^2+3900*x+5070)*ln(2)+300*x^7+3000*x^6+15300*x^5+39075*x^4+51450*x^3+3825*x^2+9752*x+12674)*exp(x)+(-4*x^9-60*x^8-456*x^7-2061*x^6-5943*x^5-10254*x^4-9303*x^3-1482*x^2-2535*x-2197)*ln(2)^2+(-40*x^9-600*x^8-4560*x^7-20610*x^6-59430*x^5-102540*x^4-93030*x^3-14820*x^2-25350*x-21970)*ln(2)-100*x^9-1500*x^8-11400*x^7-51525*x^6-148575*x^5-256350*x^4-232575*x^3-37053*x^2-63380*x-54912)/((ln(2)^2+10*ln(2)+25)*exp(x)^3+((-3*x^2-15*x-39)*ln(2)^2+(-30*x^2-150*x-390)*ln(2)-75*x^2-375*x-975)*exp(x)^2+((3*x^4+30*x^3+153*x^2+390*x+507)*ln(2)^2+(30*x^4+300*x^3+1530*x^2+3900*x+5070)*ln(2)+75*x^4+750*x^3+3825*x^2+9750*x+12675)*exp(x)+(-x^6-15*x^5-114*x^4-515*x^3-1482*x^2-2535*x-2197)*ln(2)^2+(-10*x^6-150*x^5-1140*x^4-5150*x^3-14820*x^2-25350*x-21970)*ln(2)-25*x^6-375*x^5-2850*x^4-12875*x^3-37050*x^2-63375*x-54925),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}+x -\frac{x}{\left(\ln \left(2\right)^{2}+10 \ln \left(2\right)+25\right) \left(x^{2}+5 x -{\mathrm e}^{x}+13\right)^{2}}$&$35$\\ \hline \end{longtable}"," ",0,"x^4+x-x/(ln(2)^2+10*ln(2)+25)/(x^2+5*x-exp(x)+13)^2","A"
5865,1,11,14,0.082000," ","int((-2*exp(1/x^2)+3*x^3+x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x +\ln \left(x \right)+{\mathrm e}^{\frac{1}{x^{2}}}$&$11$\\ derivativedivides&$-\ln \left(\frac{1}{x}\right)+3 x +{\mathrm e}^{\frac{1}{x^{2}}}$&$15$\\ default&$-\ln \left(\frac{1}{x}\right)+3 x +{\mathrm e}^{\frac{1}{x^{2}}}$&$15$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{1}{x^{2}}}+3 x^{3}}{x^{2}}+\ln \left(x \right)$&$22$\\ \hline \end{longtable}"," ",0,"3*x+ln(x)+exp(1/x^2)","A"
5866,1,13,14,0.042000," ","int(4*ln(x)/(x*ln(2)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{2 \ln \left(x \right)^{2}}{\ln \left(2\right)-1}$&$13$\\ norman&$\frac{2 \ln \left(x \right)^{2}}{\ln \left(2\right)-1}$&$13$\\ risch&$\frac{2 \ln \left(x \right)^{2}}{\ln \left(2\right)-1}$&$13$\\ \hline \end{longtable}"," ",0,"2*ln(x)^2/(ln(2)-1)","A"
5867,1,90,27,0.331000," ","int((((-27*x+108)*exp(5)^2*ln(x-4)^2+((-36*x^2+54*x+432)*exp(5)^2+(-18*x+72)*exp(5))*ln(x-4)+(-9*x^3-18*x^2+216*x+432)*exp(5)^2+(-12*x^2+18*x+144)*exp(5)-3*x+12)*ln(x)+(9*x-36)*exp(5)^2*ln(x-4)^2+((18*x^2-36*x-144)*exp(5)^2+(6*x-24)*exp(5))*ln(x-4)+(2*x^5-8*x^4+9*x^3-108*x-144)*exp(5)^2+(6*x^2-12*x-48)*exp(5)+x-4)/(x^5-4*x^4)/exp(5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 \ln \left(x \right) \ln \left(x -4\right)^{2}}{x^{3}}+\frac{6 \,{\mathrm e}^{-5} \left(3 x \,{\mathrm e}^{5}+6 \,{\mathrm e}^{5}+1\right) \ln \left(x \right) \ln \left(x -4\right)}{x^{3}}+\frac{{\mathrm e}^{-10} \left(2 x^{4} {\mathrm e}^{10}+9 x^{2} {\mathrm e}^{10} \ln \left(x \right)+36 \,{\mathrm e}^{10} \ln \left(x \right) x +36 \,{\mathrm e}^{10} \ln \left(x \right)+6 x \,{\mathrm e}^{5} \ln \left(x \right)+12 \,{\mathrm e}^{5} \ln \left(x \right)+\ln \left(x \right)\right)}{x^{3}}$&$90$\\ \hline \end{longtable}"," ",0,"9/x^3*ln(x)*ln(x-4)^2+6*exp(-5)*(3*x*exp(5)+6*exp(5)+1)/x^3*ln(x)*ln(x-4)+exp(-10)*(2*x^4*exp(10)+9*x^2*exp(10)*ln(x)+36*exp(10)*ln(x)*x+36*exp(10)*ln(x)+6*x*exp(5)*ln(x)+12*exp(5)*ln(x)+ln(x))/x^3","B"
5868,1,27,26,0.375000," ","int((((4*x-20)*ln(3)*exp(x)^2+((-4*x+20)*exp(5)+4*x^2-20*x-1)*ln(3)*exp(x)+(exp(5)-x)*ln(3))*exp(exp(x))^4+(x^2-10*x+25)*ln(3)*exp(x)+(x^2-10*x+25)*ln(3))*exp(exp(exp(x))^4/(x-5))/(x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\left({\mathrm e}^{5}-x -{\mathrm e}^{x}\right) \ln \left(3\right) {\mathrm e}^{\frac{{\mathrm e}^{4 \,{\mathrm e}^{x}}}{x -5}}$&$27$\\ \hline \end{longtable}"," ",0,"-(exp(5)-x-exp(x))*ln(3)*exp(exp(4*exp(x))/(x-5))","A"
5869,1,27,26,0.135000," ","int(((4*x*ln(x)^5-24*x^2*ln(x)^4+(48*x^3+8*x^2)*ln(x)^3+(-40*x^4-24*x^3)*ln(x)^2+(12*x^5+24*x^4)*ln(x)-8*x^5)*exp((2*x^2*ln(x)^4-8*x^3*ln(x)^3+12*x^4*ln(x)^2-8*x^5*ln(x)+2*x^6)/ln(x)^4)*exp(exp((2*x^2*ln(x)^4-8*x^3*ln(x)^3+12*x^4*ln(x)^2-8*x^5*ln(x)+2*x^6)/ln(x)^4))+2*ln(x)^6+3*ln(x)^5)/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \ln \left(x \right)+x +{\mathrm e}^{{\mathrm e}^{\frac{2 x^{2} \left(\ln \left(x \right)-x \right)^{4}}{\ln \left(x \right)^{4}}}}$&$27$\\ \hline \end{longtable}"," ",0,"2*x*ln(x)+x+exp(exp(2*x^2*(ln(x)-x)^4/ln(x)^4))","A"
5870,1,24,19,0.102000," ","int(1/10*(32*x*exp(x)*exp(16*x)*exp(exp(16*x))*exp(exp(exp(16*x)))+(2*x+2)*exp(x))*exp(exp(exp(exp(16*x))))+1/10*(-2*x^2-4*x)*exp(x)+5/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{x +{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{16 x}}}}}{5}-\frac{{\mathrm e}^{x} x^{2}}{5}+\frac{5 x}{2}$&$24$\\ \hline \end{longtable}"," ",0,"1/5*x*exp(x+exp(exp(exp(16*x))))-1/5*exp(x)*x^2+5/2*x","A"
5871,1,20,22,0.059000," ","int(1/10*(3*exp((5*exp(exp(1))+4)/exp(exp(1)))-10*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{3 \,{\mathrm e}^{5+4 \,{\mathrm e}^{-{\mathrm e}}}}{10 x}$&$20$\\ default&$-x -\frac{3 \,{\mathrm e}^{\left(5 \,{\mathrm e}^{{\mathrm e}}+4\right) {\mathrm e}^{-{\mathrm e}}}}{10 x}$&$24$\\ gosper&$-\frac{10 x^{2}+3 \,{\mathrm e}^{\left(5 \,{\mathrm e}^{{\mathrm e}}+4\right) {\mathrm e}^{-{\mathrm e}}}}{10 x}$&$28$\\ \hline \end{longtable}"," ",0,"-x-3/10/x*exp(5+4*exp(-exp(1)))","A"
5872,1,7,10,0.019000," ","int((x+1)/(x*ln(x)+x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x +\ln \left(x \right)-4\right)$&$7$\\ risch&$\ln \left(x +\ln \left(x \right)-4\right)$&$7$\\ \hline \end{longtable}"," ",0,"ln(x+ln(x)-4)","A"
5873,1,19,13,0.115000," ","int(-1350*ln(3)*exp((675*ln(3)+13*x^2)/x^2)/(x^3*exp((675*ln(3)+13*x^2)/x^2)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left({\mathrm e}^{\frac{675 \ln \left(3\right)+13 x^{2}}{x^{2}}}+1\right)$&$19$\\ risch&$\frac{675 \ln \left(3\right)}{x^{2}}-\frac{675 \ln \left(3\right)+13 x^{2}}{x^{2}}+\ln \left({\mathrm e}^{\frac{675 \ln \left(3\right)+13 x^{2}}{x^{2}}}+1\right)$&$42$\\ \hline \end{longtable}"," ",0,"ln(exp((675*ln(3)+13*x^2)/x^2)+1)","A"
5874,1,16,21,0.061000," ","int((-2*x-2)*exp(exp(ln(exp(2)+3)-ln(2))+x)+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x \,{\mathrm e}^{\frac{{\mathrm e}^{2}}{2}+\frac{3}{2}+x}+2 x$&$16$\\ norman&$-2 \,{\mathrm e}^{{\mathrm e}^{\ln \left({\mathrm e}^{2}+3\right)-\ln \left(2\right)}+x} x +2 x$&$22$\\ default&$2 x -2 \,{\mathrm e}^{{\mathrm e}^{\ln \left({\mathrm e}^{2}+3\right)-\ln \left(2\right)}+x} \left({\mathrm e}^{\ln \left({\mathrm e}^{2}+3\right)-\ln \left(2\right)}+x \right)+3 \,{\mathrm e}^{{\mathrm e}^{\ln \left({\mathrm e}^{2}+3\right)-\ln \left(2\right)}+x}+{\mathrm e}^{{\mathrm e}^{\ln \left({\mathrm e}^{2}+3\right)-\ln \left(2\right)}+x} {\mathrm e}^{2}$&$67$\\ derivativedivides&$2 \,{\mathrm e}^{\ln \left({\mathrm e}^{2}+3\right)-\ln \left(2\right)}+2 x -2 \,{\mathrm e}^{{\mathrm e}^{\ln \left({\mathrm e}^{2}+3\right)-\ln \left(2\right)}+x} \left({\mathrm e}^{\ln \left({\mathrm e}^{2}+3\right)-\ln \left(2\right)}+x \right)+3 \,{\mathrm e}^{{\mathrm e}^{\ln \left({\mathrm e}^{2}+3\right)-\ln \left(2\right)}+x}+{\mathrm e}^{{\mathrm e}^{\ln \left({\mathrm e}^{2}+3\right)-\ln \left(2\right)}+x} {\mathrm e}^{2}$&$80$\\ \hline \end{longtable}"," ",0,"-2*x*exp(1/2*exp(2)+3/2+x)+2*x","A"
5875,1,17,18,0.122000," ","int(1/3*((4*x-4)*exp(1/x)-6*x^2-13*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-x^{2}-\frac{13 x}{3}+\frac{4 x \,{\mathrm e}^{\frac{1}{x}}}{3}$&$17$\\ default&$-x^{2}-\frac{13 x}{3}+\frac{4 x \,{\mathrm e}^{\frac{1}{x}}}{3}$&$17$\\ norman&$-x^{2}-\frac{13 x}{3}+\frac{4 x \,{\mathrm e}^{\frac{1}{x}}}{3}$&$17$\\ risch&$-x^{2}-\frac{13 x}{3}+\frac{4 x \,{\mathrm e}^{\frac{1}{x}}}{3}$&$17$\\ \hline \end{longtable}"," ",0,"-x^2-13/3*x+4/3*x*exp(1/x)","A"
5876,1,169,29,10.364000," ","int((ln(5/x/exp(4)/exp(x)^8)^3+2*x*ln(5/x/exp(4)/exp(x)^8)+16*x^2+2*x)/(ln(5)-3)/ln(5/x/exp(4)/exp(x)^8)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x \ln \left(x \right)^{2}+\left(1-16 \ln \left(\frac{5 \,{\mathrm e}^{-4} {\mathrm e}^{-8 x}}{x}\right)-16 \ln \left(x \right)-128 x \right) x^{2}+\left(\left(\ln \left(\frac{5 \,{\mathrm e}^{-4} {\mathrm e}^{-8 x}}{x}\right)+\ln \left(x \right)+8 \ln \left({\mathrm e}^{x}\right)\right)^{2}-16 \left(\ln \left({\mathrm e}^{x}\right)-x \right) \left(\ln \left(\frac{5 \,{\mathrm e}^{-4} {\mathrm e}^{-8 x}}{x}\right)+\ln \left(x \right)+8 \ln \left({\mathrm e}^{x}\right)\right)+64 \left(\ln \left({\mathrm e}^{x}\right)-x \right)^{2}\right) x +\left(-2 \ln \left(\frac{5 \,{\mathrm e}^{-4} {\mathrm e}^{-8 x}}{x}\right)-2 \ln \left(x \right)-16 x \right) x \ln \left(x \right)+64 x^{3}+16 x^{2} \ln \left(x \right)}{\left(\ln \left(5\right)-3\right) \ln \left(\frac{5 \,{\mathrm e}^{-4} {\mathrm e}^{-8 x}}{x}\right)^{2}}$&$169$\\ risch&$\frac{x}{\ln \left(5\right)-3}-\frac{4 x^{2}}{\left(\ln \left(5\right)-3\right) \left(2 i \ln \left(x \right)-2 i \ln \left(5\right)+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{6 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{7 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{4 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{5 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-8 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-8 x}}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{7 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{8 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{5 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{6 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)+\pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-\pi  \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-\pi  \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)^{2}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{4 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{5 x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-8 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-8 x}}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-8 x}}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{6 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{7 x}\right)^{2}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{7 x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{7 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{8 x}\right)^{2}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{8 x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-\pi  \mathrm{csgn}\left(i {\mathrm e}^{5 x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{5 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{6 x}\right)^{2}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{6 x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-2 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+8 i+16 i \ln \left({\mathrm e}^{x}\right)+\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{5 x}\right)^{3}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{6 x}\right)^{3}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{7 x}\right)^{3}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{8 x}\right)^{3}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)^{3}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)^{3}-\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-8 x}}{x}\right)^{3}\right)^{2}}$&$637$\\ \hline \end{longtable}"," ",0,"1/(ln(5)-3)*(x*ln(x)^2+(1-16*ln(5/x/exp(4)/exp(x)^8)-16*ln(x)-128*x)*x^2+((ln(5/x/exp(4)/exp(x)^8)+ln(x)+8*ln(exp(x)))^2-16*(ln(exp(x))-x)*(ln(5/x/exp(4)/exp(x)^8)+ln(x)+8*ln(exp(x)))+64*(ln(exp(x))-x)^2)*x+(-2*ln(5/x/exp(4)/exp(x)^8)-2*ln(x)-16*x)*x*ln(x)+64*x^3+16*x^2*ln(x))/ln(5/x/exp(4)/exp(x)^8)^2","B"
5877,1,22,18,0.306000," ","int(((-x^6+9*x^5-20*x^4)*ln(x-4)+x^5-x^4+7*x^3-12*x^2)/(x-4)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{5} {\mathrm e}^{-x} \ln \left(x -4\right)+x^{3} {\mathrm e}^{-x}$&$22$\\ \hline \end{longtable}"," ",0,"x^5*exp(-x)*ln(x-4)+x^3*exp(-x)","A"
5878,1,68,26,0.244000," ","int(((-25*x^4-100*x^2-1200*x-3200)*exp((x^2+8*x+16)/x^4)^2+(2*(-100*x^3-1200*x^2-3200*x)*ln(5)+10*x^6-20*x^4-420*x^3-2800*x^2-5760*x)*exp((x^2+8*x+16)/x^4)+100*x^6*ln(5)^2+2*(20*x^7+90*x^6)*ln(5)+3*x^8+36*x^7+81*x^6)/x^6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$100 x \ln \left(5\right)^{2}+20 x^{2} \ln \left(5\right)+x^{3}+180 x \ln \left(5\right)+18 x^{2}+81 x +\frac{25 \,{\mathrm e}^{\frac{2 \left(4+x \right)^{2}}{x^{4}}}}{x}+\left(90+100 \ln \left(5\right)+10 x \right) {\mathrm e}^{\frac{\left(4+x \right)^{2}}{x^{4}}}$&$68$\\ norman&$\frac{x^{8}+\left(20 \ln \left(5\right)+18\right) x^{7}+\left(100 \ln \left(5\right)^{2}+180 \ln \left(5\right)+81\right) x^{6}+\left(90+100 \ln \left(5\right)\right) x^{5} {\mathrm e}^{\frac{x^{2}+8 x +16}{x^{4}}}+10 \,{\mathrm e}^{\frac{x^{2}+8 x +16}{x^{4}}} x^{6}+25 \,{\mathrm e}^{\frac{2 x^{2}+16 x +32}{x^{4}}} x^{4}}{x^{5}}$&$96$\\ \hline \end{longtable}"," ",0,"100*x*ln(5)^2+20*x^2*ln(5)+x^3+180*x*ln(5)+18*x^2+81*x+25/x*exp(2*(4+x)^2/x^4)+(90+100*ln(5)+10*x)*exp((4+x)^2/x^4)","B"
5879,1,36,22,0.152000," ","int(((-2*x^2+9)*(ln(6)+I*Pi)+2*x^3-10*x+2)/exp(x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\left(i \pi +\ln \left(6\right)+2\right) x -x^{2}-2 i \pi -2 \ln \left(6\right)\right) {\mathrm e}^{-x^{2}-4 x}$&$36$\\ risch&$\left(-2 i \pi -2 \ln \left(2\right)-2 \ln \left(3\right)+i x \pi +x \ln \left(2\right)+x \ln \left(3\right)+2 x -x^{2}\right) {\mathrm e}^{-\left(4+x \right) x}$&$43$\\ default&$\frac{9 i \pi^{\frac{3}{2}} {\mathrm e}^{4} \erf \left(2+x \right)}{2}-2 i \pi  \left(-\frac{x \,{\mathrm e}^{-x^{2}-4 x}}{2}+{\mathrm e}^{-x^{2}-4 x}+\frac{9 \sqrt{\pi}\, {\mathrm e}^{4} \erf \left(2+x \right)}{4}\right)-x^{2} {\mathrm e}^{-x^{2}-4 x}+2 x \,{\mathrm e}^{-x^{2}-4 x}+\ln \left(6\right) x \,{\mathrm e}^{-x^{2}-4 x}-2 \ln \left(6\right) {\mathrm e}^{-x^{2}-4 x}$&$109$\\ \hline \end{longtable}"," ",0,"((I*Pi+ln(6)+2)*x-x^2-2*I*Pi-2*ln(6))/exp(x^2+4*x)","A"
5880,1,49,21,0.082000," ","int((-16*x-8)*exp(x)^2*exp(x^2)^2+((-16*x-16)*exp(1)+32*x+32)*exp(x)^2*exp(x^2)+(-8*exp(1)^2+32*exp(1)-32)*exp(x)^2+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-4 \,{\mathrm e}^{2}+16 \,{\mathrm e}-16\right) {\mathrm e}^{2 x}+\left(-8 \,{\mathrm e}+16\right) {\mathrm e}^{2 x} {\mathrm e}^{x^{2}}+4 x -4 \,{\mathrm e}^{2 x} {\mathrm e}^{2 x^{2}}$&$49$\\ risch&$-4 \,{\mathrm e}^{2 \left(x +1\right) x}-8 \,{\mathrm e}^{x \left(2+x \right)} {\mathrm e}+16 \,{\mathrm e}^{x \left(2+x \right)}-4 \,{\mathrm e}^{2 x} {\mathrm e}^{2}+16 \,{\mathrm e}^{2 x} {\mathrm e}-16 \,{\mathrm e}^{2 x}+4 x$&$54$\\ default&$4 x +\frac{\left(-8 \,{\mathrm e}^{2}+32 \,{\mathrm e}-32\right) {\mathrm e}^{2 x}}{2}-4 \,{\mathrm e}^{2 x^{2}+2 x}+16 \,{\mathrm e}^{x^{2}+2 x}-8 \,{\mathrm e}^{x^{2}+2 x +1}$&$56$\\ \hline \end{longtable}"," ",0,"(-4*exp(1)^2+16*exp(1)-16)*exp(x)^2+(-8*exp(1)+16)*exp(x)^2*exp(x^2)+4*x-4*exp(x)^2*exp(x^2)^2","B"
5881,1,15,22,0.048000," ","int(((3*x^2-1536*x+196608)*exp(1)-128*x)/(x^3-512*x^2+65536*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{128}{x -256}+3 \,{\mathrm e} \ln \left(x \right)$&$15$\\ norman&$\frac{128}{x -256}+3 \,{\mathrm e} \ln \left(x \right)$&$15$\\ risch&$\frac{128}{x -256}+3 \,{\mathrm e} \ln \left(-x \right)$&$17$\\ \hline \end{longtable}"," ",0,"128/(x-256)+3*exp(1)*ln(x)","A"
5882,1,15,18,0.023000," ","int((5*x^3+4*x^2+10)/(x^4+x^3+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x^{3}+x^{2}+5\right)+2 \ln \left(x \right)$&$15$\\ norman&$\ln \left(x^{3}+x^{2}+5\right)+2 \ln \left(x \right)$&$15$\\ risch&$\ln \left(x^{3}+x^{2}+5\right)+2 \ln \left(x \right)$&$15$\\ \hline \end{longtable}"," ",0,"ln(x^3+x^2+5)+2*ln(x)","A"
5883,1,348,26,0.266000," ","int((((-3*x^2+3)*exp(x)+12*x^2-12)*ln(x^2/((x^2-1)*exp(x)-4*x^2+4))^2+((3*x^2-3)*exp(x)-12*x^2+12)*ln(x^2/((x^2-1)*exp(x)-4*x^2+4))+(3*x^3-3*x+6)*exp(x)-24)/((x^2-1)*exp(x)-4*x^2+4)/ln(x^2/((x^2-1)*exp(x)-4*x^2+4))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 x +\frac{6 i x}{\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}-4}\right) \mathrm{csgn}\left(\frac{i}{x^{2}-1}\right) \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{x}-4\right) \left(x^{2}-1\right)}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}-4}\right) \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{x}-4\right) \left(x^{2}-1\right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}-1}\right) \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{x}-4\right) \left(x^{2}-1\right)}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{x}-4\right) \left(x^{2}-1\right)}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{x}-4\right) \left(x^{2}-1\right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\left(x^{2}-1\right) \left({\mathrm e}^{x}-4\right)}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{x}-4\right) \left(x^{2}-1\right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\left(x^{2}-1\right) \left({\mathrm e}^{x}-4\right)}\right) \mathrm{csgn}\left(i x^{2}\right)+\pi  \mathrm{csgn}\left(\frac{i x^{2}}{\left(x^{2}-1\right) \left({\mathrm e}^{x}-4\right)}\right)^{3}-\pi  \mathrm{csgn}\left(\frac{i x^{2}}{\left(x^{2}-1\right) \left({\mathrm e}^{x}-4\right)}\right)^{2} \mathrm{csgn}\left(i x^{2}\right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)-2 i \ln \left(x^{2}-1\right)-2 i \ln \left({\mathrm e}^{x}-4\right)}$&$348$\\ \hline \end{longtable}"," ",0,"-3*x+6*I*x/(Pi*csgn(I/(exp(x)-4))*csgn(I/(x^2-1))*csgn(I/(exp(x)-4)/(x^2-1))-Pi*csgn(I/(exp(x)-4))*csgn(I/(exp(x)-4)/(x^2-1))^2-Pi*csgn(I/(x^2-1))*csgn(I/(exp(x)-4)/(x^2-1))^2+Pi*csgn(I/(exp(x)-4)/(x^2-1))^3-Pi*csgn(I/(exp(x)-4)/(x^2-1))*csgn(I*x^2/(x^2-1)/(exp(x)-4))^2+Pi*csgn(I/(exp(x)-4)/(x^2-1))*csgn(I*x^2/(x^2-1)/(exp(x)-4))*csgn(I*x^2)+Pi*csgn(I*x^2/(x^2-1)/(exp(x)-4))^3-Pi*csgn(I*x^2/(x^2-1)/(exp(x)-4))^2*csgn(I*x^2)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(x)-2*I*ln(x^2-1)-2*I*ln(exp(x)-4))","C"
5884,1,19,17,0.029000," ","int(1/25*(60*x^4+504*x^2+588)*ln(x)+12/25*x^4+168/25*x^2+588/25,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(12 x^{5}+168 x^{3}+588 x \right) \ln \left(x \right)}{25}$&$19$\\ default&$\frac{12 x^{5} \ln \left(x \right)}{25}+\frac{168 x^{3} \ln \left(x \right)}{25}+\frac{588 x \ln \left(x \right)}{25}$&$21$\\ norman&$\frac{12 x^{5} \ln \left(x \right)}{25}+\frac{168 x^{3} \ln \left(x \right)}{25}+\frac{588 x \ln \left(x \right)}{25}$&$21$\\ \hline \end{longtable}"," ",0,"1/25*(12*x^5+168*x^3+588*x)*ln(x)","A"
5885,1,26,26,0.130000," ","int(((-3*ln(x)+x*ln(5)+x)*exp(((x*ln(5)+3+x)*ln(x)+x*ln(5)+3+x)/x)-8*x^5*exp(x^4)^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(\ln \left(x \right)+1\right) \left(x \ln \left(5\right)+3+x \right)}{x}}-{\mathrm e}^{2 x^{4}}$&$26$\\ default&${\mathrm e}^{\frac{\left(x \ln \left(5\right)+3+x \right) \ln \left(x \right)+x \ln \left(5\right)+3+x}{x}}-{\mathrm e}^{2 x^{4}}$&$32$\\ \hline \end{longtable}"," ",0,"exp((ln(x)+1)*(x*ln(5)+3+x)/x)-exp(2*x^4)","A"
5886,1,11,13,0.045000," ","int(4*exp(8)*exp(x)+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x +4 \,{\mathrm e}^{8} {\mathrm e}^{x}$&$11$\\ norman&$3 x +4 \,{\mathrm e}^{8} {\mathrm e}^{x}$&$11$\\ risch&$3 x +4 \,{\mathrm e}^{x +8}$&$11$\\ derivativedivides&$4 \,{\mathrm e}^{8} {\mathrm e}^{x}+3 \ln \left({\mathrm e}^{x}\right)$&$13$\\ \hline \end{longtable}"," ",0,"3*x+4*exp(8)*exp(x)","A"
5887,1,25,19,0.057000," ","int(1/4*((-5*x^12-60*x^11)*exp(x)+65*x^12-60*x^11+10*x)*exp(-x^12*exp(x)+x^13-x^12+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \,{\mathrm e}^{-x^{2} \left({\mathrm e}^{x} x^{10}-x^{11}+x^{10}-1\right)}}{4}$&$25$\\ \hline \end{longtable}"," ",0,"5/4*exp(-x^2*(exp(x)*x^10-x^11+x^10-1))","A"
5888,1,48,22,0.040000," ","int(1/3*((-30*x+255)*exp(3)+10*x-85)*exp(x)^2+1/3*((-150*x+1200)*exp(3)+50*x-400)*exp(x)-125*exp(3)+125/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-15 x \,{\mathrm e}^{3}+135 \,{\mathrm e}^{3}+5 x -45\right) {\mathrm e}^{2 x}}{3}+\frac{\left(-150 x \,{\mathrm e}^{3}+1350 \,{\mathrm e}^{3}+50 x -450\right) {\mathrm e}^{x}}{3}-125 x \,{\mathrm e}^{3}+\frac{125 x}{3}$&$48$\\ norman&$\left(-150+450 \,{\mathrm e}^{3}\right) {\mathrm e}^{x}+\left(-15+45 \,{\mathrm e}^{3}\right) {\mathrm e}^{2 x}+\left(-125 \,{\mathrm e}^{3}+\frac{125}{3}\right) x +\left(-50 \,{\mathrm e}^{3}+\frac{50}{3}\right) x \,{\mathrm e}^{x}+\left(-5 \,{\mathrm e}^{3}+\frac{5}{3}\right) x \,{\mathrm e}^{2 x}$&$52$\\ default&$\frac{125 x}{3}+400 \,{\mathrm e}^{x} {\mathrm e}^{3}+\frac{50 \,{\mathrm e}^{x} x}{3}-150 \,{\mathrm e}^{x}-50 \,{\mathrm e}^{3} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)-15 \,{\mathrm e}^{2 x}+\frac{5 x \,{\mathrm e}^{2 x}}{3}+\frac{85 \,{\mathrm e}^{3} {\mathrm e}^{2 x}}{2}-10 \,{\mathrm e}^{3} \left(\frac{x \,{\mathrm e}^{2 x}}{2}-\frac{{\mathrm e}^{2 x}}{4}\right)-125 x \,{\mathrm e}^{3}$&$77$\\ \hline \end{longtable}"," ",0,"1/3*(-15*x*exp(3)+135*exp(3)+5*x-45)*exp(2*x)+1/3*(-150*x*exp(3)+1350*exp(3)+50*x-450)*exp(x)-125*x*exp(3)+125/3*x","B"
5889,1,13,19,0.293000," ","int(((x-3)*ln(-3*x+9)+3*x-6)/(x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(-3 x +9\right) x +2 x$&$13$\\ risch&$\ln \left(-3 x +9\right) x +2 x$&$13$\\ derivativedivides&$-\frac{\left(-3 x +9\right) \ln \left(-3 x +9\right)}{3}+2 x -6+3 \ln \left(-3 x +9\right)$&$27$\\ default&$-\frac{\left(-3 x +9\right) \ln \left(-3 x +9\right)}{3}+2 x -6+3 \ln \left(-3 x +9\right)$&$27$\\ \hline \end{longtable}"," ",0,"ln(-3*x+9)*x+2*x","A"
5890,1,33,29,0.263000," ","int(((12*x^4-48*x^3+48*x^2-12)*ln(2)+6*x^5-24*x^4+42*x^3-60*x^2+36*x)*exp(x)/((4*x^2-8*x+4)*ln(2)^2+(4*x^3-4*x^2)*ln(2)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{6 \left(x^{3}-5 x^{2}+7 x -3\right) {\mathrm e}^{x}}{2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)}$&$33$\\ risch&$\frac{6 \left(x^{3}-5 x^{2}+7 x -3\right) {\mathrm e}^{x}}{2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)}$&$33$\\ norman&$\frac{42 \,{\mathrm e}^{x} x -30 \,{\mathrm e}^{x} x^{2}+6 \,{\mathrm e}^{x} x^{3}-18 \,{\mathrm e}^{x}}{2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)}$&$41$\\ default&$-24 \,{\mathrm e}^{x}+\frac{48 \,{\mathrm e}^{x} \ln \left(2\right) \left(2 x \ln \left(2\right)^{2}-2 \ln \left(2\right)^{2}+4 x \ln \left(2\right)-3 \ln \left(2\right)+x \right)}{\left(\ln \left(2\right)+2\right) \left(2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)\right)}+12 \,{\mathrm e}^{x} \ln \left(2\right)+\frac{48 \ln \left(2\right)^{4} {\mathrm e}^{x}}{\left(\ln \left(2\right)+2\right) \left(2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)\right)}+\frac{168 \ln \left(2\right)^{3} {\mathrm e}^{x}}{\left(\ln \left(2\right)+2\right) \left(2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)\right)}+\frac{144 \ln \left(2\right)^{2} {\mathrm e}^{x}}{\left(\ln \left(2\right)+2\right) \left(2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)\right)}+\frac{6 \ln \left(2\right) {\mathrm e}^{x}}{\left(\ln \left(2\right)+2\right) \left(2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)\right)}+\frac{6 \,{\mathrm e}^{x} x}{\left(\ln \left(2\right)+2\right) \left(2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)\right)}+\frac{60 \,{\mathrm e}^{x} \left(x \ln \left(2\right)-\ln \left(2\right)+x \right)}{\left(\ln \left(2\right)+2\right) \left(2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)\right)}+\frac{18 \,{\mathrm e}^{x} \left(x -2\right)}{\left(\ln \left(2\right)+2\right) \left(2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)\right)}-\frac{48 \,{\mathrm e}^{x} \ln \left(2\right)^{4} x}{\left(\ln \left(2\right)+2\right) \left(2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)\right)}-6 \,{\mathrm e}^{x} \left(-x +1+4 \ln \left(2\right)\right)+\frac{42 \,{\mathrm e}^{x} \ln \left(2\right) \left(2 x \ln \left(2\right)-2 \ln \left(2\right)+3 x -2\right)}{\left(\ln \left(2\right)+2\right) \left(2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)\right)}-\frac{216 \,{\mathrm e}^{x} \ln \left(2\right)^{2} x}{\left(\ln \left(2\right)+2\right) \left(2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)\right)}+\frac{12 \,{\mathrm e}^{x} \ln \left(2\right)^{2} \left(4 x \ln \left(2\right)^{2}-4 \ln \left(2\right)^{2}+10 x \ln \left(2\right)-8 \ln \left(2\right)+5 x -2\right)}{\left(\ln \left(2\right)+2\right) \left(2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)\right)}-\frac{48 \,{\mathrm e}^{x} \ln \left(2\right) x}{\left(\ln \left(2\right)+2\right) \left(2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)\right)}-\frac{192 \,{\mathrm e}^{x} \ln \left(2\right)^{3} x}{\left(\ln \left(2\right)+2\right) \left(2 x \ln \left(2\right)+x^{2}-2 \ln \left(2\right)\right)}$&$494$\\ \hline \end{longtable}"," ",0,"6*(x^3-5*x^2+7*x-3)*exp(x)/(2*x*ln(2)+x^2-2*ln(2))","A"
5891,1,37,26,0.143000," ","int(((64*x^2+320)*exp(16/exp((x^2-5)/x)^2)^2+(192*x^2+960)*exp(16/exp((x^2-5)/x)^2)+5*x^2*exp((x^2-5)/x)^2)/x^2/exp((x^2-5)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{32 \,{\mathrm e}^{-\frac{2 \left(x^{2}-5\right)}{x}}}+5 x -6 \,{\mathrm e}^{16 \,{\mathrm e}^{-\frac{2 \left(x^{2}-5\right)}{x}}}$&$37$\\ norman&$\frac{\left(5 x^{2} {\mathrm e}^{\frac{2 x^{2}-10}{x}}-x \,{\mathrm e}^{\frac{2 x^{2}-10}{x}} {\mathrm e}^{32 \,{\mathrm e}^{-\frac{2 \left(x^{2}-5\right)}{x}}}-6 \,{\mathrm e}^{\frac{2 x^{2}-10}{x}} {\mathrm e}^{16 \,{\mathrm e}^{-\frac{2 \left(x^{2}-5\right)}{x}}} x \right) {\mathrm e}^{-\frac{2 \left(x^{2}-5\right)}{x}}}{x}$&$97$\\ \hline \end{longtable}"," ",0,"-exp(32*exp(-2*(x^2-5)/x))+5*x-6*exp(16*exp(-2*(x^2-5)/x))","A"
5892,1,19,17,0.023000," ","int((16*x^3*ln(x)+exp(x)+4*x^3+12*x^2+1)*exp(4*x^4*ln(x)+exp(x)+4*x^3+x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{4 x^{4} \ln \left(x \right)+{\mathrm e}^{x}+4 x^{3}+x +2}$&$19$\\ default&${\mathrm e}^{4 x^{4} \ln \left(x \right)+{\mathrm e}^{x}+4 x^{3}+x +2}$&$19$\\ risch&$x^{4 x^{4}} {\mathrm e}^{2+{\mathrm e}^{x}+4 x^{3}+x}$&$20$\\ \hline \end{longtable}"," ",0,"exp(4*x^4*ln(x)+exp(x)+4*x^3+x+2)","A"
5893,1,32,26,0.031000," ","int((4*x^3*ln(x)^3+(-6*x^4+x^3)*ln(x)^2+(-4*x^4+3*x^2+6*x)*ln(x)-4*x^3-7*x^2-3*x)/(ln(x)^2-4*x*ln(x)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-3 x^{2}-x^{3}-x^{4} \ln \left(x \right)^{2}}{2 x -\ln \left(x \right)}$&$32$\\ risch&$2 x^{5}+x^{4} \ln \left(x \right)-\frac{\left(4 x^{4}+x +3\right) x^{2}}{2 x -\ln \left(x \right)}$&$36$\\ \hline \end{longtable}"," ",0,"(-3*x^2-x^3-x^4*ln(x)^2)/(2*x-ln(x))","A"
5894,0,0,22,0.042000," ","int((((16*ln(1/x)+64)*ln(ln(1/x)^2+8*ln(1/x)+16)+8)*ln(ln(ln(1/x)^2+8*ln(1/x)+16)/x^4)+(-2*x*ln(1/x)-8*x)*ln(ln(1/x)^2+8*ln(1/x)+16))/((x*ln(1/x)+4*x)*ln(ln(1/x)^2+8*ln(1/x)+16)*ln(ln(ln(1/x)^2+8*ln(1/x)+16)/x^4)^4+(2*x^2*ln(1/x)+8*x^2)*ln(ln(1/x)^2+8*ln(1/x)+16)*ln(ln(ln(1/x)^2+8*ln(1/x)+16)/x^4)^2+(x^3*ln(1/x)+4*x^3)*ln(ln(1/x)^2+8*ln(1/x)+16)),x)","\[\int \frac{\left(\left(16 \ln \left(\frac{1}{x}\right)+64\right) \ln \left(\ln \left(\frac{1}{x}\right)^{2}+8 \ln \left(\frac{1}{x}\right)+16\right)+8\right) \ln \left(\frac{\ln \left(\ln \left(\frac{1}{x}\right)^{2}+8 \ln \left(\frac{1}{x}\right)+16\right)}{x^{4}}\right)+\left(-2 x \ln \left(\frac{1}{x}\right)-8 x \right) \ln \left(\ln \left(\frac{1}{x}\right)^{2}+8 \ln \left(\frac{1}{x}\right)+16\right)}{\left(x \ln \left(\frac{1}{x}\right)+4 x \right) \ln \left(\ln \left(\frac{1}{x}\right)^{2}+8 \ln \left(\frac{1}{x}\right)+16\right) \ln \left(\frac{\ln \left(\ln \left(\frac{1}{x}\right)^{2}+8 \ln \left(\frac{1}{x}\right)+16\right)}{x^{4}}\right)^{4}+\left(2 x^{2} \ln \left(\frac{1}{x}\right)+8 x^{2}\right) \ln \left(\ln \left(\frac{1}{x}\right)^{2}+8 \ln \left(\frac{1}{x}\right)+16\right) \ln \left(\frac{\ln \left(\ln \left(\frac{1}{x}\right)^{2}+8 \ln \left(\frac{1}{x}\right)+16\right)}{x^{4}}\right)^{2}+\left(x^{3} \ln \left(\frac{1}{x}\right)+4 x^{3}\right) \ln \left(\ln \left(\frac{1}{x}\right)^{2}+8 \ln \left(\frac{1}{x}\right)+16\right)}\, dx\]"," ",0,"int((((16*ln(1/x)+64)*ln(ln(1/x)^2+8*ln(1/x)+16)+8)*ln(ln(ln(1/x)^2+8*ln(1/x)+16)/x^4)+(-2*x*ln(1/x)-8*x)*ln(ln(1/x)^2+8*ln(1/x)+16))/((x*ln(1/x)+4*x)*ln(ln(1/x)^2+8*ln(1/x)+16)*ln(ln(ln(1/x)^2+8*ln(1/x)+16)/x^4)^4+(2*x^2*ln(1/x)+8*x^2)*ln(ln(1/x)^2+8*ln(1/x)+16)*ln(ln(ln(1/x)^2+8*ln(1/x)+16)/x^4)^2+(x^3*ln(1/x)+4*x^3)*ln(ln(1/x)^2+8*ln(1/x)+16)),x)","F"
5895,1,18,23,0.170000," ","int(((x-1)*exp(5)^2*ln(x-1)^2+(-2*x+2)*exp(5)^2*ln(x-1)+(x-1)*exp(5)^2+x-4)/((x^2-5*x+4)*exp(5)^2*ln(x-1)^2+(-2*x^2+10*x-8)*exp(5)^2*ln(x-1)+(x^2-5*x+4)*exp(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{-10}}{\ln \left(x -1\right)-1}+\ln \left(x -4\right)$&$18$\\ norman&$-\frac{{\mathrm e}^{-10}}{\ln \left(x -1\right)-1}+\ln \left(x -4\right)$&$20$\\ \hline \end{longtable}"," ",0,"-exp(-10)/(ln(x-1)-1)+ln(x-4)","A"
5896,1,10,14,0.071000," ","int(4*exp(x)*exp(exp(x))*exp(exp(exp(x)))*exp(4*exp(exp(exp(x))))+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +{\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}}$&$10$\\ norman&$x +{\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}}$&$10$\\ risch&$x +{\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}}$&$10$\\ derivativedivides&$\ln \left({\mathrm e}^{x}\right)+{\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}}$&$12$\\ \hline \end{longtable}"," ",0,"x+exp(4*exp(exp(exp(x))))","A"
5897,1,15,17,0.047000," ","int((exp(-x+4)+3)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \,{\mathrm e}^{-2} x -{\mathrm e}^{2-x}$&$15$\\ default&$\left(3 x -{\mathrm e}^{-x +4}\right) {\mathrm e}^{-2}$&$18$\\ norman&$3 \,{\mathrm e}^{-2} x -{\mathrm e}^{-x +4} {\mathrm e}^{-2}$&$21$\\ derivativedivides&$-{\mathrm e}^{-2} \left({\mathrm e}^{-x +4}+3 \ln \left({\mathrm e}^{-x +4}\right)\right)$&$23$\\ \hline \end{longtable}"," ",0,"3*exp(-2)*x-exp(2-x)","A"
5898,1,29,22,0.301000," ","int(((-48*x^5+16*x^4+225*x-75)*ln((-3*x+1)/x)+16*x^4-64*x^3+25)/(48*x^5-16*x^4)/ln((-3*x+1)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{25}{16}+4 x^{3}-x^{4}}{x^{3} \ln \left(\frac{-3 x +1}{x}\right)}$&$29$\\ risch&$-\frac{16 x^{4}-64 x^{3}+25}{16 x^{3} \ln \left(\frac{-3 x +1}{x}\right)}$&$30$\\ \hline \end{longtable}"," ",0,"(-25/16+4*x^3-x^4)/x^3/ln((-3*x+1)/x)","A"
5899,1,21,21,0.092000," ","int(1/2*(2*ln(2)*exp(exp(x)-x)^2-24*exp(x)*x^2+24*x^2+24*x)/ln(2)/exp(exp(x)-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{6 x^{2} {\mathrm e}^{-2 \,{\mathrm e}^{x}+2 x}}{\ln \left(2\right)}$&$21$\\ norman&$\left({\mathrm e}^{2 \,{\mathrm e}^{x}-2 x} x +\frac{6 x^{2}}{\ln \left(2\right)}\right) {\mathrm e}^{-2 \,{\mathrm e}^{x}+2 x}$&$32$\\ \hline \end{longtable}"," ",0,"x+6*x^2*exp(-2*exp(x)+2*x)/ln(2)","A"
5900,1,90,22,0.441000," ","int((((3*x^2-20*x+25)*exp(4)+12*x^2-80*x+100)*ln(1/3*exp(1))^2+(((4*x-10)*exp(4)+16*x-40)*ln(x)+(2*x-10)*exp(4)+8*x-40)*ln(1/3*exp(1))+(4+exp(4))*ln(x)^2+(2*exp(4)+8)*ln(x))*exp((((x^3-10*x^2+25*x)*exp(4)+4*x^3-40*x^2+100*x)*ln(1/3*exp(1))^2+((2*x^2-10*x)*exp(4)+8*x^2-40*x)*ln(x)*ln(1/3*exp(1))+(x*exp(4)+4*x)*ln(x)^2)/ln(1/3*exp(1))^2)/ln(1/3*exp(1))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{\frac{\left(\left(x^{3}-10 x^{2}+25 x \right) {\mathrm e}^{4}+4 x^{3}-40 x^{2}+100 x \right) \ln \left(\frac{{\mathrm e}}{3}\right)^{2}+\left(\left(2 x^{2}-10 x \right) {\mathrm e}^{4}+8 x^{2}-40 x \right) \ln \left(x \right) \ln \left(\frac{{\mathrm e}}{3}\right)+\left(x \,{\mathrm e}^{4}+4 x \right) \ln \left(x \right)^{2}}{\ln \left(\frac{{\mathrm e}}{3}\right)^{2}}}$&$90$\\ norman&${\mathrm e}^{\frac{\left(\left(x^{3}-10 x^{2}+25 x \right) {\mathrm e}^{4}+4 x^{3}-40 x^{2}+100 x \right) \ln \left(\frac{{\mathrm e}}{3}\right)^{2}+\left(\left(2 x^{2}-10 x \right) {\mathrm e}^{4}+8 x^{2}-40 x \right) \ln \left(x \right) \ln \left(\frac{{\mathrm e}}{3}\right)+\left(x \,{\mathrm e}^{4}+4 x \right) \ln \left(x \right)^{2}}{\ln \left(\frac{{\mathrm e}}{3}\right)^{2}}}$&$90$\\ risch&$\frac{{\mathrm e}^{\frac{x \left(x \ln \left(3\right)-\ln \left(x \right)-5 \ln \left(3\right)-x +5\right)^{2} \left(4+{\mathrm e}^{4}\right)}{\left(\ln \left(3\right)-1\right)^{2}}} \ln \left(3\right)^{2}}{\left(1-\ln \left(3\right)\right)^{2}}-\frac{2 \,{\mathrm e}^{\frac{x \left(x \ln \left(3\right)-\ln \left(x \right)-5 \ln \left(3\right)-x +5\right)^{2} \left(4+{\mathrm e}^{4}\right)}{\left(\ln \left(3\right)-1\right)^{2}}} \ln \left(3\right)}{\left(1-\ln \left(3\right)\right)^{2}}+\frac{{\mathrm e}^{\frac{x \left(x \ln \left(3\right)-\ln \left(x \right)-5 \ln \left(3\right)-x +5\right)^{2} \left(4+{\mathrm e}^{4}\right)}{\left(\ln \left(3\right)-1\right)^{2}}}}{\left(1-\ln \left(3\right)\right)^{2}}$&$132$\\ \hline \end{longtable}"," ",0,"exp((((x^3-10*x^2+25*x)*exp(4)+4*x^3-40*x^2+100*x)*ln(1/3*exp(1))^2+((2*x^2-10*x)*exp(4)+8*x^2-40*x)*ln(x)*ln(1/3*exp(1))+(x*exp(4)+4*x)*ln(x)^2)/ln(1/3*exp(1))^2)","B"
5901,1,24,19,0.188000," ","int(((4*exp(x)*x-2)*exp(exp(x))^2+x^2-2)/(2*x*exp(exp(x))^2+3*x^2*exp(1)+x^3+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)+\ln \left(2 \,{\mathrm e}^{2 \,{\mathrm e}^{x}}+3 x \,{\mathrm e}+x^{2}+2\right)$&$24$\\ risch&$-\ln \left(x \right)+\ln \left(\frac{3 x \,{\mathrm e}}{2}+\frac{x^{2}}{2}+{\mathrm e}^{2 \,{\mathrm e}^{x}}+1\right)$&$24$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(2*exp(exp(x))^2+3*x*exp(1)+x^2+2)","A"
5902,1,15,16,0.056000," ","int((3*x^2*exp(4*x^3+6)-60*x^2)/exp(4*x^3+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+5 \,{\mathrm e}^{-4 x^{3}-6}$&$15$\\ default&$x^{3}+5 \,{\mathrm e}^{-4 x^{3}} {\mathrm e}^{-6}$&$17$\\ norman&$\left(5+x^{3} {\mathrm e}^{4 x^{3}+6}\right) {\mathrm e}^{-4 x^{3}-6}$&$26$\\ meijerg&$-\frac{{\mathrm e}^{-4 x^{3}+4 x^{3} {\mathrm e}^{-6}} \left(1-{\mathrm e}^{4 x^{3} \left(1-{\mathrm e}^{-6}\right)}\right)}{4 \left(1-{\mathrm e}^{-6}\right)}-5 \,{\mathrm e}^{-4 x^{3}+4 x^{3} {\mathrm e}^{-6}} \left(1-{\mathrm e}^{-4 x^{3} {\mathrm e}^{-6}}\right)$&$70$\\ \hline \end{longtable}"," ",0,"x^3+5*exp(-4*x^3-6)","A"
5903,0,0,29,0.025000," ","int(((50*x^4-200*x^3)*ln(x^2-8*x+16)^2+100*x^4*ln(x^2-8*x+16)+2*x-8)/((25*x^5-100*x^4)*ln(x^2-8*x+16)^2-2*x^2+8*x)/ln(1/2*(25*x^3*ln(x^2-8*x+16)^2-2)/x/ln(3)^2),x)","\[\int \frac{\left(50 x^{4}-200 x^{3}\right) \ln \left(x^{2}-8 x +16\right)^{2}+100 x^{4} \ln \left(x^{2}-8 x +16\right)+2 x -8}{\left(\left(25 x^{5}-100 x^{4}\right) \ln \left(x^{2}-8 x +16\right)^{2}-2 x^{2}+8 x \right) \ln \left(\frac{25 x^{3} \ln \left(x^{2}-8 x +16\right)^{2}-2}{2 x \ln \left(3\right)^{2}}\right)}\, dx\]"," ",0,"int(((50*x^4-200*x^3)*ln(x^2-8*x+16)^2+100*x^4*ln(x^2-8*x+16)+2*x-8)/((25*x^5-100*x^4)*ln(x^2-8*x+16)^2-2*x^2+8*x)/ln(1/2*(25*x^3*ln(x^2-8*x+16)^2-2)/x/ln(3)^2),x)","F"
5904,1,16,13,0.039000," ","int((2*ln(625/6561)+32)*exp(x)^2-ln(625/6561)-16,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\left(16+\ln \left(\frac{625}{6561}\right)\right) \left({\mathrm e}^{2 x}-\ln \left({\mathrm e}^{x}\right)\right)$&$16$\\ default&$-16 x +{\mathrm e}^{2 x} \ln \left(\frac{625}{6561}\right)+16 \,{\mathrm e}^{2 x}-\ln \left(\frac{625}{6561}\right) x$&$23$\\ norman&$\left(-4 \ln \left(5\right)+8 \ln \left(3\right)-16\right) x +\left(4 \ln \left(5\right)-8 \ln \left(3\right)+16\right) {\mathrm e}^{2 x}$&$29$\\ risch&$4 \,{\mathrm e}^{2 x} \ln \left(5\right)-8 \,{\mathrm e}^{2 x} \ln \left(3\right)+16 \,{\mathrm e}^{2 x}-4 x \ln \left(5\right)+8 x \ln \left(3\right)-16 x$&$37$\\ \hline \end{longtable}"," ",0,"(16+ln(625/6561))*(exp(x)^2-ln(exp(x)))","A"
5905,1,17,23,0.066000," ","int(((-125*x+385)*ln(-25*x+77)+625*x^3-2425*x^2+1765*x-358)/(625*x^3-2425*x^2+1640*x-308),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(-25 x +77\right)}{5 x -2}+x$&$17$\\ norman&$\frac{-2 x +\ln \left(-25 x +77\right)+5 x^{2}}{5 x -2}$&$24$\\ derivativedivides&$x -\frac{77}{25}+\frac{5 \ln \left(-25 x +77\right)}{67}-\frac{5 \ln \left(-25 x +77\right) \left(-25 x +77\right)}{67 \left(-25 x +10\right)}$&$32$\\ default&$x -\frac{77}{25}+\frac{5 \ln \left(-25 x +77\right)}{67}-\frac{5 \ln \left(-25 x +77\right) \left(-25 x +77\right)}{67 \left(-25 x +10\right)}$&$32$\\ \hline \end{longtable}"," ",0,"1/(5*x-2)*ln(-25*x+77)+x","A"
5906,1,25,23,0.056000," ","int(((-4*exp(4)+4*x+16)*ln(4-exp(4)+x)+((2*x-12)*exp(4)-2*x^2+4*x+48)*exp(x)-36*exp(4)+32*x+164)/((4*exp(4)-16-4*x)*ln(4-exp(4)+x)^2+((4*exp(4)-16-4*x)*exp(x)+(8*x+32)*exp(4)-8*x^2-64*x-128)*ln(4-exp(4)+x)+(exp(4)-x-4)*exp(x)^2+((4*x+16)*exp(4)-4*x^2-32*x-64)*exp(x)+(4*x^2+32*x+64)*exp(4)-4*x^3-48*x^2-192*x-256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(x -5\right)}{{\mathrm e}^{x}+2 \ln \left(4-{\mathrm e}^{4}+x \right)+2 x +8}$&$25$\\ \hline \end{longtable}"," ",0,"-2*(x-5)/(exp(x)+2*ln(4-exp(4)+x)+2*x+8)","A"
5907,1,23,22,0.125000," ","int(((x^2+5*x-5)*exp(x)*exp(exp(x-4))^2+2*x^4*exp(x-4)-2*x^3)/x^2/exp(exp(x-4))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x} \left(5+x \right)}{x}-x^{2} {\mathrm e}^{-2 \,{\mathrm e}^{x -4}}$&$23$\\ norman&$\frac{\left({\mathrm e}^{x} {\mathrm e}^{2 \,{\mathrm e}^{x -4}} x -x^{3}+5 \,{\mathrm e}^{x} {\mathrm e}^{2 \,{\mathrm e}^{x -4}}\right) {\mathrm e}^{-2 \,{\mathrm e}^{x -4}}}{x}$&$43$\\ \hline \end{longtable}"," ",0,"exp(x)/x*(5+x)-x^2*exp(-2*exp(x-4))","A"
5908,1,69,24,0.284000," ","int((6*x*exp(x)^2*ln(5*exp(x))^2+(-6*x*exp(x)*ln(x)+6*x*exp(x)^2-6*exp(x))*ln(5*exp(x))+(-6*exp(x)*x+6)*ln(x)-exp(1))/(3*x*exp(x)^2*ln(5*exp(x))^2-6*x*exp(x)*ln(x)*ln(5*exp(x))+3*x*ln(x)^2-x*exp(1)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\ln \left(\ln \left({\mathrm e}^{x}\right)^{2}-{\mathrm e}^{-x} \left(-2 \,{\mathrm e}^{x} \ln \left(5\right)+2 \ln \left(x \right)\right) \ln \left({\mathrm e}^{x}\right)-\frac{\left(-12 \ln \left(5\right)^{2} {\mathrm e}^{2 x}+24 \ln \left(5\right) {\mathrm e}^{x} \ln \left(x \right)+4 \,{\mathrm e} \ln \left(x \right)-12 \ln \left(x \right)^{2}\right) {\mathrm e}^{-2 x}}{12}\right)$&$69$\\ \hline \end{longtable}"," ",0,"2*x+ln(ln(exp(x))^2-exp(-x)*(-2*exp(x)*ln(5)+2*ln(x))*ln(exp(x))-1/12*(-12*ln(5)^2*exp(2*x)+24*ln(5)*exp(x)*ln(x)+4*exp(1)*ln(x)-12*ln(x)^2)*exp(-2*x))","B"
5909,1,12,13,0.066000," ","int((x-82)/exp(x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{5-x} \left(x -81\right)$&$12$\\ norman&$\left(81-x \right) {\mathrm e}^{5-x}$&$13$\\ risch&$\left(81-x \right) {\mathrm e}^{5-x}$&$13$\\ derivativedivides&$-{\mathrm e}^{5-x} \left(x -5\right)+76 \,{\mathrm e}^{5-x}$&$21$\\ default&$-{\mathrm e}^{5-x} \left(x -5\right)+76 \,{\mathrm e}^{5-x}$&$21$\\ \hline \end{longtable}"," ",0,"-1/exp(x-5)*(x-81)","A"
5910,1,22,22,0.191000," ","int((5*ln(3)^2*exp(x)^2+(-10*ln(2)^2*ln(3)-3*x*ln(2)^2)*exp(x)+5*ln(2)^4)/(5*x*ln(3)^2*exp(x)^2-10*x*ln(2)^2*ln(3)*exp(x)+5*x*ln(2)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 \,{\mathrm e}^{x}}{5 \left(\ln \left(3\right) {\mathrm e}^{x}-\ln \left(2\right)^{2}\right)}+\ln \left(x \right)$&$22$\\ risch&$\ln \left(x \right)+\frac{3 \ln \left(2\right)^{2}}{5 \ln \left(3\right) \left(\ln \left(3\right) {\mathrm e}^{x}-\ln \left(2\right)^{2}\right)}$&$28$\\ \hline \end{longtable}"," ",0,"3/5*exp(x)/(ln(3)*exp(x)-ln(2)^2)+ln(x)","A"
5911,1,19,21,0.100000," ","int(((-12*ln(x)+4*x*exp(5))*ln(-ln(x)+1/3*x*exp(5))+4*x*exp(5)-12)*exp(-x*ln(-ln(x)+1/3*x*exp(5))+3)/(3*ln(x)-x*exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \left(-\ln \left(x \right)+\frac{x \,{\mathrm e}^{5}}{3}\right)^{-x} {\mathrm e}^{3}$&$19$\\ \hline \end{longtable}"," ",0,"4*(-ln(x)+1/3*x*exp(5))^(-x)*exp(3)","A"
5912,1,38,29,0.105000," ","int(1/3*((x^4+6*x^3+4*x^2)*exp(5-x)-3*x^4-14*x^3-8*x^2+48)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{3}}{3}-\frac{7 x^{2}}{3}-\frac{8 x}{3}-\frac{16}{x}+\frac{\left(-x^{2}-8 x -12\right) {\mathrm e}^{5-x}}{3}$&$38$\\ norman&$\frac{-16-\frac{8 x^{2}}{3}-\frac{7 x^{3}}{3}-\frac{x^{4}}{3}-4 x \,{\mathrm e}^{5-x}-\frac{8 \,{\mathrm e}^{5-x} x^{2}}{3}-\frac{{\mathrm e}^{5-x} x^{3}}{3}}{x}$&$53$\\ derivativedivides&$-\frac{{\mathrm e}^{5-x} \left(5-x \right)^{2}}{3}+6 \,{\mathrm e}^{5-x} \left(5-x \right)-\frac{77 \,{\mathrm e}^{5-x}}{3}-\frac{16}{x}+255-51 x -\frac{22 \left(5-x \right)^{2}}{3}+\frac{\left(5-x \right)^{3}}{3}$&$65$\\ default&$-\frac{{\mathrm e}^{5-x} \left(5-x \right)^{2}}{3}+6 \,{\mathrm e}^{5-x} \left(5-x \right)-\frac{77 \,{\mathrm e}^{5-x}}{3}-\frac{16}{x}+255-51 x -\frac{22 \left(5-x \right)^{2}}{3}+\frac{\left(5-x \right)^{3}}{3}$&$65$\\ \hline \end{longtable}"," ",0,"-1/3*x^3-7/3*x^2-8/3*x-16/x+1/3*(-x^2-8*x-12)*exp(5-x)","A"
5913,1,46,25,0.102000," ","int(((4*x^8-30*x^7+54*x^6-10*x^5)*ln(3)^4+(50*x^3-20*x^2)*ln(3)^2-100)/x^5/ln(3)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}-10 x^{3}+27 x^{2}-10 x +\frac{-50 x^{3} \ln \left(3\right)^{2}+10 x^{2} \ln \left(3\right)^{2}+25}{\ln \left(3\right)^{4} x^{4}}$&$46$\\ default&$\frac{x^{4} \ln \left(3\right)^{4}-10 \ln \left(3\right)^{4} x^{3}+27 x^{2} \ln \left(3\right)^{4}-10 x \ln \left(3\right)^{4}+\frac{25}{x^{4}}-\frac{50 \ln \left(3\right)^{2}}{x}+\frac{10 \ln \left(3\right)^{2}}{x^{2}}}{\ln \left(3\right)^{4}}$&$63$\\ gosper&$\frac{x^{8} \ln \left(3\right)^{4}-10 \ln \left(3\right)^{4} x^{7}+27 x^{6} \ln \left(3\right)^{4}-10 x^{5} \ln \left(3\right)^{4}-50 x^{3} \ln \left(3\right)^{2}+10 x^{2} \ln \left(3\right)^{2}+25}{\ln \left(3\right)^{4} x^{4}}$&$64$\\ norman&$\frac{\ln \left(3\right)^{3} x^{8}+\frac{25}{\ln \left(3\right)}+10 x^{2} \ln \left(3\right)-50 x^{3} \ln \left(3\right)-10 \ln \left(3\right)^{3} x^{5}+27 \ln \left(3\right)^{3} x^{6}-10 \ln \left(3\right)^{3} x^{7}}{x^{4} \ln \left(3\right)^{3}}$&$65$\\ \hline \end{longtable}"," ",0,"x^4-10*x^3+27*x^2-10*x+1/ln(3)^4*(-50*x^3*ln(3)^2+10*x^2*ln(3)^2+25)/x^4","A"
5914,1,22,20,0.178000," ","int(((-2*x*ln(x)+6*x)*ln(-x*ln(x)+3*x)^2+(-2*x*ln(x)+4*x)*ln(-x*ln(x)+3*x)+5*ln(x)-15)/(ln(x)-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$5 x -x^{2} \ln \left(-x \ln \left(x \right)+3 x \right)^{2}$&$22$\\ risch&$5 x +\pi^{2} x^{2}-x^{2} \ln \left(x \right)^{2}-\pi^{2} x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{4}-\pi^{2} x^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{4} \mathrm{csgn}\left(i x \right)+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{5} \mathrm{csgn}\left(i x \right)}{2}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{4} \mathrm{csgn}\left(i x \right)^{2}}{4}+\pi^{2} x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{2}+\pi^{2} x^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{2} \mathrm{csgn}\left(i x \right)+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right)\right)^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{4}}{4}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{5}}{2}-2 i \pi  \,x^{2} \ln \left(x \right)+i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right) \mathrm{csgn}\left(i x \right) \ln \left(x \right)-x^{2} \ln \left(\ln \left(x \right)-3\right)^{2}+\left(-i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{2}+i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right) \mathrm{csgn}\left(i x \right)-i \pi  \,x^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{3}+2 i \pi  \,x^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{2} \mathrm{csgn}\left(i x \right)-2 i \pi  \,x^{2}-2 x^{2} \ln \left(x \right)\right) \ln \left(\ln \left(x \right)-3\right)+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{6}}{4}+\pi^{2} x^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{4}-\pi^{2} x^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{5}+\pi^{2} x^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{3}-2 \pi^{2} x^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{3} \ln \left(x \right)-\pi^{2} x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right) \mathrm{csgn}\left(i x \right)+2 i \pi  \,x^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{2} \ln \left(x \right)-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right)\right)^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{3} \mathrm{csgn}\left(i x \right)}{2}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right)\right)^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{2} \mathrm{csgn}\left(i x \right)^{2}}{4}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{3} \mathrm{csgn}\left(i x \right)^{2}}{2}+\pi^{2} x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{3} \mathrm{csgn}\left(i x \right)-i \pi  \,x^{2} \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{2} \mathrm{csgn}\left(i x \right) \ln \left(x \right)-i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-3\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(x \right)-3\right)\right)^{2} \ln \left(x \right)$&$765$\\ \hline \end{longtable}"," ",0,"5*x-x^2*ln(-x*ln(x)+3*x)^2","A"
5915,1,17,20,0.082000," ","int((40*ln(2)-6*x+76)/(100*x^3*ln(2)^2+(-20*x^4+380*x^3)*ln(2)+x^5-38*x^4+361*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{2}{x^{2} \left(19+10 \ln \left(2\right)-x \right)}$&$17$\\ norman&$-\frac{2}{x^{2} \left(19+10 \ln \left(2\right)-x \right)}$&$17$\\ risch&$-\frac{2}{x^{2} \left(19+10 \ln \left(2\right)-x \right)}$&$17$\\ default&$\frac{2}{\left(19+10 \ln \left(2\right)\right)^{2} \left(-19-10 \ln \left(2\right)+x \right)}-\frac{2}{\left(19+10 \ln \left(2\right)\right)^{2} x}-\frac{2}{\left(19+10 \ln \left(2\right)\right) x^{2}}$&$47$\\ \hline \end{longtable}"," ",0,"-2/x^2/(19+10*ln(2)-x)","A"
5916,1,76,29,0.288000," ","int(((-x^4+2*x-3)*exp(x^2)+2*x^6-5*x^4+4*x^2-1)/(((4*x^4-8*x^2+4)*exp(5)-x^5+x^4+4*x^3-3*x^2-3*x+2)*exp(x^2)-x^5+2*x^3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x^{2}-\ln \left(x -1\right)-\ln \left(x +1\right)+\ln \left(4 x^{2} {\mathrm e}^{5} {\mathrm e}^{x^{2}}-x^{3} {\mathrm e}^{x^{2}}-x^{3}+x^{2} {\mathrm e}^{x^{2}}-4 \,{\mathrm e}^{5} {\mathrm e}^{x^{2}}+3 \,{\mathrm e}^{x^{2}} x +x -2 \,{\mathrm e}^{x^{2}}\right)$&$76$\\ risch&$-\ln \left(-x^{2}+1\right)+\ln \left(x^{3}+\left(-4 \,{\mathrm e}^{5}-1\right) x^{2}-3 x +4 \,{\mathrm e}^{5}+2\right)-x^{2}+\ln \left({\mathrm e}^{x^{2}}-\frac{\left(x^{2}-1\right) x}{4 x^{2} {\mathrm e}^{5}-x^{3}+x^{2}-4 \,{\mathrm e}^{5}+3 x -2}\right)$&$80$\\ \hline \end{longtable}"," ",0,"-x^2-ln(x-1)-ln(x+1)+ln(4*x^2*exp(5)*exp(x^2)-x^3*exp(x^2)-x^3+x^2*exp(x^2)-4*exp(5)*exp(x^2)+3*exp(x^2)*x+x-2*exp(x^2))","B"
5917,1,52,28,0.052000," ","int((256*x^3+192*x^2+32*x)*ln(2+2*ln(2))+192*x^5+480*x^4+1312*x^3+816*x^2+128*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(2+2 \ln \left(2\right)\right) \left(64 x^{4}+64 x^{3}+16 x^{2}\right)+32 x^{6}+96 x^{5}+328 x^{4}+272 x^{3}+64 x^{2}+x$&$52$\\ gosper&$x \left(32 x^{5}+64 \ln \left(2+2 \ln \left(2\right)\right) x^{3}+96 x^{4}+64 \ln \left(2+2 \ln \left(2\right)\right) x^{2}+328 x^{3}+16 \ln \left(2+2 \ln \left(2\right)\right) x +272 x^{2}+64 x +1\right)$&$62$\\ norman&$x +\left(16 \ln \left(2\right)+16 \ln \left(1+\ln \left(2\right)\right)+64\right) x^{2}+\left(64 \ln \left(2\right)+64 \ln \left(1+\ln \left(2\right)\right)+272\right) x^{3}+\left(64 \ln \left(2\right)+64 \ln \left(1+\ln \left(2\right)\right)+328\right) x^{4}+96 x^{5}+32 x^{6}$&$64$\\ risch&$32 x^{6}+64 x^{4} \ln \left(2\right)+64 x^{4} \ln \left(1+\ln \left(2\right)\right)+96 x^{5}+64 x^{3} \ln \left(2\right)+64 x^{3} \ln \left(1+\ln \left(2\right)\right)+328 x^{4}+16 x^{2} \ln \left(2\right)+16 x^{2} \ln \left(1+\ln \left(2\right)\right)+272 x^{3}+64 x^{2}+x$&$79$\\ \hline \end{longtable}"," ",0,"ln(2+2*ln(2))*(64*x^4+64*x^3+16*x^2)+32*x^6+96*x^5+328*x^4+272*x^3+64*x^2+x","A"
5918,1,28,22,0.039000," ","int((25*x*exp(x)*ln(x)^2+(-250*x^2-3*x)*exp(x)*ln(x)+(625*x^3+15*x^2-15*x+3)*exp(x))/(2*x*ln(3)*ln(x)^2-20*x^2*ln(3)*ln(x)+50*x^3*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 \,{\mathrm e}^{x}}{2 \ln \left(3\right)}+\frac{3 \,{\mathrm e}^{x}}{2 \ln \left(3\right) \left(-\ln \left(x \right)+5 x \right)}$&$28$\\ \hline \end{longtable}"," ",0,"25/2*exp(x)/ln(3)+3/2*exp(x)/ln(3)/(-ln(x)+5*x)","A"
5919,1,52,24,0.104000," ","int((((20+4*x)*exp(x)^2-2)*exp(exp(x)^2)^2+(((-4*x^2-40*x-100)*ln(3)^4-4*x^3-44*x^2-140*x-100)*exp(x)^2+(2*x+10)*ln(3)^4-8*x-40)*exp(exp(x)^2)+(2*x^3+30*x^2+150*x+250)*ln(3)^4+2*x^4+32*x^3+180*x^2+400*x+250)/(x^3+15*x^2+75*x+125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \ln \left(3\right)^{4}+x^{2}+2 x +\frac{{\mathrm e}^{2 \,{\mathrm e}^{2 x}}}{x^{2}+10 x +25}-\frac{2 \left(\ln \left(3\right)^{4}+x +1\right) {\mathrm e}^{{\mathrm e}^{2 x}}}{5+x}$&$52$\\ \hline \end{longtable}"," ",0,"2*x*ln(3)^4+x^2+2*x+1/(x^2+10*x+25)*exp(2*exp(2*x))-2*(ln(3)^4+x+1)/(5+x)*exp(exp(2*x))","B"
5920,1,19,16,0.090000," ","int(1/4*((4*ln(2)^2-x)*exp(1/100*(-25*x+13)/ln(2)^2)+12*ln(2)^2)/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{25 x -13}{100 \ln \left(2\right)^{2}}} x +3 x$&$19$\\ norman&$\frac{x \ln \left(2\right) {\mathrm e}^{\frac{-25 x +13}{100 \ln \left(2\right)^{2}}}+3 x \ln \left(2\right)}{\ln \left(2\right)}$&$28$\\ default&$\frac{4 \ln \left(2\right)^{2} {\mathrm e}^{-\frac{x}{4 \ln \left(2\right)^{2}}+\frac{13}{100 \ln \left(2\right)^{2}}} x +12 x \ln \left(2\right)^{2}}{4 \ln \left(2\right)^{2}}$&$37$\\ derivativedivides&$-12 \ln \left(2\right)^{2} \left(-\frac{x}{4 \ln \left(2\right)^{2}}+\frac{13}{100 \ln \left(2\right)^{2}}\right)-4 \,{\mathrm e}^{-\frac{x}{4 \ln \left(2\right)^{2}}+\frac{13}{100 \ln \left(2\right)^{2}}} \ln \left(2\right)^{2} \left(-\frac{x}{4 \ln \left(2\right)^{2}}+\frac{13}{100 \ln \left(2\right)^{2}}\right)+\frac{13 \,{\mathrm e}^{-\frac{x}{4 \ln \left(2\right)^{2}}+\frac{13}{100 \ln \left(2\right)^{2}}}}{25}$&$74$\\ \hline \end{longtable}"," ",0,"exp(-1/100*(25*x-13)/ln(2)^2)*x+3*x","A"
5921,1,26,31,0.085000," ","int(((-8*x^2-20)*ln(2)^2+(-32*x^3+2*x^2-80*x)*ln(2)-32*x^4-84*x^2)/(x^2*ln(2)^2+4*x^3*ln(2)+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-8 x -\frac{2 \left(\frac{\ln \left(2\right)}{2}-1\right)}{\ln \left(2\right)+2 x}+\frac{20}{x}$&$26$\\ risch&$-8 x +\frac{\left(-\ln \left(2\right)+42\right) x +20 \ln \left(2\right)}{x \left(\ln \left(2\right)+2 x \right)}$&$30$\\ norman&$\frac{\left(4 \ln \left(2\right)^{2}-\ln \left(2\right)+42\right) x -16 x^{3}+20 \ln \left(2\right)}{x \left(\ln \left(2\right)+2 x \right)}$&$37$\\ gosper&$\frac{4 x \ln \left(2\right)^{2}-16 x^{3}-x \ln \left(2\right)+20 \ln \left(2\right)+42 x}{x \left(\ln \left(2\right)+2 x \right)}$&$38$\\ \hline \end{longtable}"," ",0,"-8*x-2*(1/2*ln(2)-1)/(ln(2)+2*x)+20/x","A"
5922,1,12,11,0.033000," ","int(((2*exp(x)*x-2)*exp(exp(x))-7)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \,{\mathrm e}^{{\mathrm e}^{x}}+7}{x}$&$12$\\ risch&$\frac{7}{x}+\frac{2 \,{\mathrm e}^{{\mathrm e}^{x}}}{x}$&$15$\\ \hline \end{longtable}"," ",0,"(2*exp(exp(x))+7)/x","A"
5923,1,88,30,0.191000," ","int((((3-2*x)*exp(x)^3+(2*x^2-5*x+4)*exp(x)^2)*exp((5*exp(x)^4+20*x*exp(x)^3+(30*x^2+x-1)*exp(x)^2+20*exp(x)*x^3+5*x^4)/(5*exp(x)^4+20*x*exp(x)^3+30*exp(x)^2*x^2+20*exp(x)*x^3+5*x^4))-5*exp(x)^5-25*x*exp(x)^4-50*x^2*exp(x)^3-50*exp(x)^2*x^3-25*exp(x)*x^4-5*x^5)/(5*exp(x)^5+25*x*exp(x)^4+50*x^2*exp(x)^3+50*exp(x)^2*x^3+25*exp(x)*x^4+5*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{\frac{20 \,{\mathrm e}^{x} x^{3}+5 x^{4}+30 \,{\mathrm e}^{2 x} x^{2}+20 x \,{\mathrm e}^{3 x}+x \,{\mathrm e}^{2 x}+5 \,{\mathrm e}^{4 x}-{\mathrm e}^{2 x}}{5 \,{\mathrm e}^{4 x}+20 x \,{\mathrm e}^{3 x}+30 \,{\mathrm e}^{2 x} x^{2}+20 \,{\mathrm e}^{x} x^{3}+5 x^{4}}}$&$88$\\ \hline \end{longtable}"," ",0,"-x+exp(1/5*(20*exp(x)*x^3+5*x^4+30*exp(2*x)*x^2+20*x*exp(3*x)+x*exp(2*x)+5*exp(4*x)-exp(2*x))/(4*exp(x)*x^3+x^4+6*exp(2*x)*x^2+4*x*exp(3*x)+exp(4*x)))","B"
5924,1,27,25,0.371000," ","int((-4*ln(2)^2-23*ln(2))*exp(((x+8)*ln(2)+2*x+46)/(4*ln(2)+x+23))/(16*ln(2)^2+(8*x+184)*ln(2)+x^2+46*x+529),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{\frac{x \ln \left(2\right)+8 \ln \left(2\right)+2 x +46}{4 \ln \left(2\right)+x +23}}$&$27$\\ default&$-\frac{\left(-4 \ln \left(2\right)^{2}-23 \ln \left(2\right)\right)^{2} {\mathrm e}^{\frac{-4 \ln \left(2\right)^{2}-23 \ln \left(2\right)}{4 \ln \left(2\right)+x +23}+\ln \left(2\right)+2}}{\ln \left(2\right)^{2} \left(16 \ln \left(2\right)^{2}+184 \ln \left(2\right)+529\right)}$&$60$\\ norman&$\frac{\left(-23-4 \ln \left(2\right)\right) {\mathrm e}^{\frac{\left(x +8\right) \ln \left(2\right)+2 x +46}{4 \ln \left(2\right)+x +23}}-x \,{\mathrm e}^{\frac{\left(x +8\right) \ln \left(2\right)+2 x +46}{4 \ln \left(2\right)+x +23}}}{4 \ln \left(2\right)+x +23}$&$66$\\ derivativedivides&$\frac{\left(4 \ln \left(2\right)^{2}+23 \ln \left(2\right)\right) \left(-4 \ln \left(2\right)^{2}-23 \ln \left(2\right)\right) {\mathrm e}^{\frac{-4 \ln \left(2\right)^{2}-23 \ln \left(2\right)}{4 \ln \left(2\right)+x +23}+\ln \left(2\right)+2}}{\ln \left(2\right)^{2} \left(16 \ln \left(2\right)^{2}+184 \ln \left(2\right)+529\right)}$&$68$\\ risch&$-\frac{4 \ln \left(2\right) {\mathrm e}^{\frac{x \ln \left(2\right)+8 \ln \left(2\right)+2 x +46}{4 \ln \left(2\right)+x +23}}}{4 \ln \left(2\right)+23}-\frac{23 \,{\mathrm e}^{\frac{x \ln \left(2\right)+8 \ln \left(2\right)+2 x +46}{4 \ln \left(2\right)+x +23}}}{4 \ln \left(2\right)+23}$&$72$\\ \hline \end{longtable}"," ",0,"-exp((x*ln(2)+8*ln(2)+2*x+46)/(4*ln(2)+x+23))","A"
5925,1,20,25,0.050000," ","int(((-40*x+40)*ln(x)^2+(2*x^5-8*x^4+8*x^3)*ln(x)-x^5+4*x^4-4*x^3)/(x^4-4*x^3+4*x^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{20}{\left(x -2\right) x}+\frac{x^{2}}{\ln \left(x \right)}$&$20$\\ default&$\frac{x^{2}}{\ln \left(x \right)}+\frac{10}{x -2}-\frac{10}{x}$&$22$\\ norman&$\frac{x^{4}-2 x^{3}+20 \ln \left(x \right)}{x \left(x -2\right) \ln \left(x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"20/(x-2)/x+x^2/ln(x)","A"
5926,1,25,24,0.299000," ","int(1/3*(((x^2+2)*exp((-x^2+2)/x)*exp(1/3*exp((-x^2+2)/x))*exp(exp(1/3*exp((-x^2+2)/x)))+3*x^2)*exp(exp(exp(1/3*exp((-x^2+2)/x))))+3*exp(x)*x^2)/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -{\mathrm e}^{-x +{\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{-\frac{x^{2}-2}{x}}}{3}}}}$&$25$\\ \hline \end{longtable}"," ",0,"x-exp(-x+exp(exp(1/3*exp(-(x^2-2)/x))))","A"
5927,1,6,7,0.010000," ","int(-4/5/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2}{5 x^{2}}$&$6$\\ default&$\frac{2}{5 x^{2}}$&$6$\\ norman&$\frac{2}{5 x^{2}}$&$6$\\ risch&$\frac{2}{5 x^{2}}$&$6$\\ \hline \end{longtable}"," ",0,"2/5/x^2","A"
5928,1,40,28,0.602000," ","int((((-x^2-3*x)*ln(x^2+3*x)^2+8*x+12)*exp(((-x-4)*ln(x^2+3*x)-4)/ln(x^2+3*x))+((-x^2-3*x)*exp(x-ln(2))+x^2+3*x)*ln(x^2+3*x)^2)/(x^2+3*x)/ln(x^2+3*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +{\mathrm e}^{\frac{\left(-x -4\right) \ln \left(x^{2}+3 x \right)-4}{\ln \left(x^{2}+3 x \right)}}-{\mathrm e}^{x -\ln \left(2\right)}$&$40$\\ \hline \end{longtable}"," ",0,"x+exp(((-x-4)*ln(x^2+3*x)-4)/ln(x^2+3*x))-exp(x-ln(2))","A"
5929,1,50,24,0.076000," ","int(((-2*exp(x^2)*x+4*x^4-2*x^2)*exp((3*exp(x^2)+x)/exp(x^2))^2+(6*x^2*exp(x^2)-4*x^5+2*x^3)*exp((3*exp(x^2)+x)/exp(x^2))-4*x^3*exp(x^2))/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{4}+2 \,{\mathrm e}^{\left(3 \,{\mathrm e}^{x^{2}}+x \right) {\mathrm e}^{-x^{2}}} x^{3}-{\mathrm e}^{2 \left(3 \,{\mathrm e}^{x^{2}}+x \right) {\mathrm e}^{-x^{2}}} x^{2}$&$50$\\ \hline \end{longtable}"," ",0,"-x^4+2*exp((3*exp(x^2)+x)*exp(-x^2))*x^3-exp(2*(3*exp(x^2)+x)*exp(-x^2))*x^2","B"
5930,1,6,10,0.014000," ","int(2*exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x \,{\mathrm e}$&$6$\\ norman&$2 x \,{\mathrm e}$&$6$\\ risch&$2 x \,{\mathrm e}$&$6$\\ \hline \end{longtable}"," ",0,"2*x*exp(1)","A"
5931,1,24,20,0.159000," ","int((3*(-18*x^5+10*x^4-72*x^3+24*x^2-72*x+8)*ln(3)*exp(9*x)+3*(8*x^5+16*x^3)*ln(3))/(exp(9*x)^2+2*x*exp(9*x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 \left(x^{4}+4 x^{2}+4\right) \ln \left(3\right) x}{x +{\mathrm e}^{9 x}}$&$24$\\ norman&$\frac{-24 \ln \left(3\right) {\mathrm e}^{9 x}+24 x^{3} \ln \left(3\right)+6 x^{5} \ln \left(3\right)}{x +{\mathrm e}^{9 x}}$&$33$\\ \hline \end{longtable}"," ",0,"6*(x^4+4*x^2+4)*ln(3)*x/(x+exp(9*x))","A"
5932,1,24,25,0.123000," ","int(((-4*x^2+x)*exp(2*x+4)+(-2*x^3-x^2)*exp(x)+3*x^3)/(2*exp(2*x+4)^5+(10*exp(x)*x-10*x^2)*exp(2*x+4)^4+(20*exp(x)^2*x^2-40*exp(x)*x^3+20*x^4)*exp(2*x+4)^3+(20*x^3*exp(x)^3-60*exp(x)^2*x^4+60*x^5*exp(x)-20*x^6)*exp(2*x+4)^2+(10*x^4*exp(x)^4-40*x^5*exp(x)^3+60*x^6*exp(x)^2-40*x^7*exp(x)+10*x^8)*exp(2*x+4)+2*x^5*exp(x)^5-10*x^6*exp(x)^4+20*x^7*exp(x)^3-20*x^8*exp(x)^2+10*x^9*exp(x)-2*x^10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{4 \left({\mathrm e}^{x} x -x^{2}+{\mathrm e}^{2 x +4}\right)^{4}}$&$24$\\ \hline \end{longtable}"," ",0,"1/4*x^2/(exp(x)*x-x^2+exp(2*x+4))^4","A"
5933,1,17,17,0.073000," ","int(((-50*x+50)*exp(x)-50*x)*exp(exp(x)+x)/((50*x-50)*exp(exp(x)+x)-1)/ln((-50*x+50)*exp(exp(x)+x)+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{\ln \left(\left(-50 x +50\right) {\mathrm e}^{{\mathrm e}^{x}+x}+1\right)}$&$17$\\ \hline \end{longtable}"," ",0,"1/ln((-50*x+50)*exp(exp(x)+x)+1)","A"
5934,1,10,19,0.029000," ","int((-74*x^2+1875)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-74 x -\frac{1875}{x}$&$10$\\ risch&$-74 x -\frac{1875}{x}$&$10$\\ norman&$\frac{-74 x^{2}-1875}{x}$&$12$\\ gosper&$-\frac{74 x^{2}+1875}{x}$&$13$\\ \hline \end{longtable}"," ",0,"-74*x-1875/x","A"
5935,1,46,25,0.123000," ","int(((4*x^18-900*x^16+90000*x^14-5250000*x^12+196875000*x^10-4921875000*x^8+82031250000*x^6-878906250000*x^4+5493164062500*x^2-15258789062500)*ln(x)^2+((-8*x^18+1800*x^16-180000*x^14+10500000*x^12-393750000*x^10+9843750000*x^8-164062500000*x^6+1757812500000*x^4-10986328124904*x^2+30517578125000)*exp(3/(4*x^16-800*x^14+70000*x^12-3500000*x^10+109375000*x^8-2187500000*x^6+27343750000*x^4-195312500000*x^2+610351562500))+8*x^18-1800*x^16+180000*x^14-10500000*x^12+393750000*x^10-9843750000*x^8+164062500000*x^6-1757812500000*x^4+10986328125000*x^2-30517578125000)*ln(x)+(4*x^18-900*x^16+90000*x^14-5250000*x^12+196875000*x^10-4921875000*x^8+82031250000*x^6-878906250000*x^4+5493164062404*x^2-15258789062500)*exp(3/(4*x^16-800*x^14+70000*x^12-3500000*x^10+109375000*x^8-2187500000*x^6+27343750000*x^4-195312500000*x^2+610351562500))^2+(-8*x^18+1800*x^16-180000*x^14+10500000*x^12-393750000*x^10+9843750000*x^8-164062500000*x^6+1757812500000*x^4-10986328125000*x^2+30517578125000)*exp(3/(4*x^16-800*x^14+70000*x^12-3500000*x^10+109375000*x^8-2187500000*x^6+27343750000*x^4-195312500000*x^2+610351562500))+5*x^18-1125*x^16+112500*x^14-6562500*x^12+246093750*x^10-6152343750*x^8+102539062500*x^6-1098632812500*x^4+6866455078125*x^2-19073486328125)/(x^18-225*x^16+22500*x^14-1312500*x^12+49218750*x^10-1230468750*x^8+20507812500*x^6-219726562500*x^4+1373291015625*x^2-3814697265625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \,{\mathrm e}^{\frac{3}{2 \left(x -5\right)^{8} \left(5+x \right)^{8}}}-8 x \,{\mathrm e}^{\frac{3}{4 \left(x -5\right)^{8} \left(5+x \right)^{8}}} \ln \left(x \right)+4 x \ln \left(x \right)^{2}+5 x$&$46$\\ \hline \end{longtable}"," ",0,"4*x*exp(3/2/(x-5)^8/(5+x)^8)-8*x*exp(3/4/(x-5)^8/(5+x)^8)*ln(x)+4*x*ln(x)^2+5*x","A"
5936,1,376,27,0.209000," ","int(((-32*x^8-672*x^7-6048*x^6-30240*x^5-90720*x^4-163296*x^3-163296*x^2-69984*x)*exp(5)^8+(-224*x^7-4032*x^6-30240*x^5-120960*x^4-272160*x^3-326592*x^2-163296*x)*exp(5)^7+(-112*x^7-2688*x^6-25200*x^5-120960*x^4-317520*x^3-435456*x^2-244944*x)*exp(5)^6+(-576*x^6-9760*x^5-65280*x^4-216000*x^3-354240*x^2-230688*x)*exp(5)^5+(-144*x^6-3400*x^5-28864*x^4-115056*x^3-219888*x^2-163080*x)*exp(5)^4+(-480*x^5-7168*x^4-38976*x^3-92160*x^2-80352*x)*exp(5)^3+(-80*x^5-1600*x^4-10800*x^3-30176*x^2-30048*x)*exp(5)^2+(-128*x^4-1536*x^3-5824*x^2-7040*x)*exp(5)-16*x^4-216*x^3-904*x^2-1152*x-4)/(63001*x+x^9+550*x^7+36*x^8+74124*x^4+139670*x^3+144576*x^2+4644*x^6+23639*x^5+x*ln(x)^2+(x^17+48*x^16+1080*x^15+15120*x^14+147420*x^13+1061424*x^12+5837832*x^11+25019280*x^10+84440070*x^9+225173520*x^8+472864392*x^7+773778096*x^6+967222620*x^5+892820880*x^4+573956280*x^3+229582512*x^2+43046721*x)*exp(5)^16+(336*x^14+16064*x^13+346656*x^12+4492224*x^11+39132720*x^10+242580096*x^9+1102901184*x^8+3729027456*x^7+9386848944*x^6+17390324160*x^5+23064696864*x^4+20751235776*x^3+11357248464*x^2+2857026816*x)*exp(5)^11+(56*x^14+4056*x^13+114904*x^12+1822216*x^11+18638400*x^10+132024816*x^9+672897456*x^8+2514459024*x^7+6918985656*x^6+13890511800*x^5+19822775544*x^4+19076921064*x^3+11112864336*x^2+2962842624*x)*exp(5)^10+((2*x^9+48*x^8+504*x^7+3024*x^6+11340*x^5+27216*x^4+40824*x^3+34992*x^2+13122*x)*exp(5)^8+(16*x^8+336*x^7+3024*x^6+15120*x^5+45360*x^4+81648*x^3+81648*x^2+34992*x)*exp(5)^7+(8*x^8+224*x^7+2520*x^6+15120*x^5+52920*x^4+108864*x^3+122472*x^2+58320*x)*exp(5)^6+(48*x^7+976*x^6+8160*x^5+36000*x^4+88560*x^3+115344*x^2+62208*x)*exp(5)^5+(12*x^7+340*x^6+3608*x^5+19176*x^4+54972*x^3+81540*x^2+49248*x)*exp(5)^4+(48*x^6+896*x^5+6496*x^4+23040*x^3+40176*x^2+27648*x)*exp(5)^3+(8*x^6+200*x^5+1800*x^4+7544*x^3+15024*x^2+11520*x)*exp(5)^2+(16*x^5+256*x^4+1456*x^3+3520*x^2+3072*x)*exp(5)+2*x^5+36*x^4+226*x^3+576*x^2+502*x)*ln(x)+(28*x^11+1740*x^10+41596*x^9+537772*x^8+4285848*x^7+22350752*x^6+78004732*x^5+181099452*x^4+268957044*x^3+231559020*x^2+88006176*x)*exp(5)^4+(112*x^10+4384*x^9+73872*x^8+705472*x^7+4219552*x^6+16432544*x^5+41757840*x^4+66894336*x^3+61398864*x^2+24634368*x)*exp(5)^3+(8*x^10+408*x^9+8352*x^8+92880*x^7+628352*x^6+2708144*x^5+7485320*x^4+12856232*x^3+12495504*x^2+5250816*x)*exp(5)^2+(16*x^16+720*x^15+15120*x^14+196560*x^13+1769040*x^12+11675664*x^11+58378320*x^10+225173520*x^9+675520560*x^8+1576214640*x^7+2837186352*x^6+3868890480*x^5+3868890480*x^4+2678462640*x^3+1147912560*x^2+229582512*x)*exp(5)^15+(8*x^16+480*x^15+12600*x^14+196560*x^13+2063880*x^12+15567552*x^11+87567480*x^10+375289200*x^9+1238454360*x^8+3152429280*x^7+6147237096*x^6+9027411120*x^5+9672226200*x^4+7142567040*x^3+3252418920*x^2+688747536*x)*exp(5)^14+(112*x^15+5264*x^14+113568*x^13+1493856*x^12+13405392*x^11+86918832*x^10+420323904*x^9+1541187648*x^8+4308320016*x^7+9142044912*x^6+14501174688*x^5+16679216736*x^4+13154227632*x^3+6368788944*x^2+1428513408*x)*exp(5)^13+(28*x^15+1908*x^14+53288*x^13+854136*x^12+8996724*x^11+66754908*x^10+362715408*x^9+1473828048*x^8+4516653636*x^7+10416007404*x^6+17828546472*x^5+21996618552*x^4+18514695852*x^3+9525548484*x^2+2261812896*x)*exp(5)^12+(16*x^9+544*x^8+7872*x^7+63264*x^6+308704*x^5+936640*x^4+1726352*x^3+1768256*x^2+771072*x)*exp(5)+(560*x^13+26560*x^12+560016*x^11+6988480*x^10+57754080*x^9+334108800*x^8+1390828320*x^7+4205851776*x^6+9183475440*x^5+14137467840*x^4+14579591760*x^3+9051030720*x^2+2559734784*x)*exp(5)^9+(70*x^13+5100*x^12+141486*x^11+2158608*x^10+20901410*x^9+137808408*x^8+641272212*x^7+2136903552*x^6+5085305874*x^5+8457998940*x^4+9357185934*x^3+6195088656*x^2+1859269302*x)*exp(5)^8+(560*x^12+25680*x^11+516864*x^10+6071424*x^9+46486928*x^8+244526352*x^7+904257648*x^6+2356128432*x^5+4246618752*x^4+5049648864*x^3+3569522256*x^2+1137484944*x)*exp(5)^7+(56*x^12+3888*x^11+102144*x^10+1458624*x^9+13024328*x^8+77750400*x^7+320091912*x^6+915313392*x^5+1790543232*x^4+2290471344*x^3+1729205496*x^2+584961264*x)*exp(5)^6+(336*x^11+14480*x^10+271056*x^9+2920080*x^8+20140928*x^7+93268000*x^6+294493200*x^5+627485328*x^4+865077840*x^3+697894704*x^2+250511616*x)*exp(5)^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{251+288 x +7512 x \,{\mathrm e}^{10}+27486 x^{2} {\mathrm e}^{20}+24624 \,{\mathrm e}^{20}+20088 x \,{\mathrm e}^{15}+31104 \,{\mathrm e}^{25}+5760 \,{\mathrm e}^{10}+1760 x \,{\mathrm e}^{5}+\ln \left(x \right)+1536 \,{\mathrm e}^{5}+x^{4}+18 x^{3}+113 x^{2}+4 x^{7} {\mathrm e}^{30}+20412 x^{2} {\mathrm e}^{40}+448 x^{4} {\mathrm e}^{15}+44280 x^{2} {\mathrm e}^{25}+18000 x^{3} {\mathrm e}^{25}+4080 x^{4} {\mathrm e}^{25}+57672 x \,{\mathrm e}^{25}+728 x^{2} {\mathrm e}^{5}+8 x^{4} {\mathrm e}^{5}+128 x^{3} {\mathrm e}^{5}+3772 \,{\mathrm e}^{10} x^{2}+17496 \,{\mathrm e}^{35}+11520 x^{2} {\mathrm e}^{15}+40770 x \,{\mathrm e}^{20}+900 x^{3} {\mathrm e}^{10}+13824 \,{\mathrm e}^{15}+6 \,{\mathrm e}^{20} x^{6}+170 x^{5} {\mathrm e}^{20}+1804 x^{4} {\mathrm e}^{20}+100 x^{4} {\mathrm e}^{10}+6561 \,{\mathrm e}^{40}+13608 \,{\mathrm e}^{40} x^{3}+7560 \,{\mathrm e}^{35} x^{4}+1260 \,{\mathrm e}^{30} x^{5}+24 \,{\mathrm e}^{25} x^{6}+22680 \,{\mathrm e}^{35} x^{3}+7560 \,{\mathrm e}^{30} x^{4}+488 \,{\mathrm e}^{25} x^{5}+17496 \,{\mathrm e}^{40} x +40824 \,{\mathrm e}^{35} x^{2}+26460 \,{\mathrm e}^{30} x^{3}+40824 \,{\mathrm e}^{35} x +54432 \,{\mathrm e}^{30} x^{2}+61236 \,{\mathrm e}^{30} x +29160 \,{\mathrm e}^{30}+{\mathrm e}^{40} x^{8}+24 \,{\mathrm e}^{40} x^{7}+252 \,{\mathrm e}^{40} x^{6}+8 \,{\mathrm e}^{35} x^{7}+1512 \,{\mathrm e}^{40} x^{5}+168 \,{\mathrm e}^{35} x^{6}+5670 \,{\mathrm e}^{40} x^{4}+1512 \,{\mathrm e}^{35} x^{5}+112 \,{\mathrm e}^{30} x^{6}+9588 x^{3} {\mathrm e}^{20}+24 x^{5} {\mathrm e}^{15}+4 x^{5} {\mathrm e}^{10}+3248 x^{3} {\mathrm e}^{15}}$&$376$\\ \hline \end{longtable}"," ",0,"4/(251+288*x+7512*x*exp(10)+27486*x^2*exp(20)+24624*exp(20)+20088*x*exp(15)+31104*exp(25)+5760*exp(10)+1760*x*exp(5)+ln(x)+1536*exp(5)+x^4+18*x^3+113*x^2+4*x^7*exp(30)+20412*x^2*exp(40)+448*x^4*exp(15)+44280*x^2*exp(25)+18000*x^3*exp(25)+4080*x^4*exp(25)+57672*x*exp(25)+728*x^2*exp(5)+8*x^4*exp(5)+128*x^3*exp(5)+3772*exp(10)*x^2+17496*exp(35)+11520*x^2*exp(15)+40770*x*exp(20)+900*x^3*exp(10)+13824*exp(15)+6*exp(20)*x^6+170*x^5*exp(20)+1804*x^4*exp(20)+100*x^4*exp(10)+6561*exp(40)+13608*exp(40)*x^3+7560*exp(35)*x^4+1260*exp(30)*x^5+24*exp(25)*x^6+22680*exp(35)*x^3+7560*exp(30)*x^4+488*exp(25)*x^5+17496*exp(40)*x+40824*exp(35)*x^2+26460*exp(30)*x^3+40824*exp(35)*x+54432*exp(30)*x^2+61236*exp(30)*x+29160*exp(30)+exp(40)*x^8+24*exp(40)*x^7+252*exp(40)*x^6+8*exp(35)*x^7+1512*exp(40)*x^5+168*exp(35)*x^6+5670*exp(40)*x^4+1512*exp(35)*x^5+112*exp(30)*x^6+9588*x^3*exp(20)+24*x^5*exp(15)+4*x^5*exp(10)+3248*x^3*exp(15))","B"
5937,1,9,8,0.038000," ","int(-44/25*exp(-11/5*x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \,{\mathrm e}^{-\frac{11 x}{5}+2}}{5}$&$9$\\ derivativedivides&$\frac{4 \,{\mathrm e}^{-\frac{11 x}{5}+2}}{5}$&$9$\\ default&$\frac{4 \,{\mathrm e}^{-\frac{11 x}{5}+2}}{5}$&$9$\\ norman&$\frac{4 \,{\mathrm e}^{-\frac{11 x}{5}+2}}{5}$&$9$\\ risch&$\frac{4 \,{\mathrm e}^{-\frac{11 x}{5}+2}}{5}$&$9$\\ meijerg&$-\frac{4 \,{\mathrm e}^{2} \left(1-{\mathrm e}^{-\frac{11 x}{5}}\right)}{5}$&$13$\\ \hline \end{longtable}"," ",0,"4/5*exp(-11/5*x+2)","A"
5938,1,22,21,0.157000," ","int((-9*exp(9/ln(4*x*ln(2)+3*x))+3*x*ln(4*x*ln(2)+3*x)^2)/(x*ln(4*x*ln(2)+3*x)^2*exp(9/ln(4*x*ln(2)+3*x))+(3*x^2+10*x)*ln(4*x*ln(2)+3*x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left({\mathrm e}^{\frac{9}{\ln \left(4 x \ln \left(2\right)+3 x \right)}}+10+3 x \right)$&$22$\\ risch&$\ln \left({\mathrm e}^{\frac{9}{\ln \left(4 x \ln \left(2\right)+3 x \right)}}+10+3 x \right)$&$22$\\ \hline \end{longtable}"," ",0,"ln(exp(9/ln(4*x*ln(2)+3*x))+10+3*x)","A"
5939,1,14,16,0.105000," ","int(1/5*((2*x*ln(2)*exp(x)+4*x*ln(2))*ln(x)+5)*exp(2/5*exp(x)*ln(2)+2/5*(2*x-2)*ln(2))*exp(ln(x)*exp(2/5*exp(x)*ln(2)+2/5*(2*x-2)*ln(2)))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2^{\frac{2 \,{\mathrm e}^{x}}{5}+\frac{4 x}{5}-\frac{4}{5}}}$&$14$\\ \hline \end{longtable}"," ",0,"x^(2^(2/5*exp(x)+4/5*x-4/5))","A"
5940,1,502,27,0.322000," ","int(((6*x*exp(4*exp(1171875/x))^2+(12*x^2-2*x)*exp(4*exp(1171875/x))+6*x^3-2*x^2)*ln((-3*x*exp(4*exp(1171875/x))-3*x^2+x)/(3*exp(4*exp(1171875/x))+3*x))+6*x*exp(4*exp(1171875/x))^2+(-9375000*exp(1171875/x)+12*x^2-2*x)*exp(4*exp(1171875/x))+6*x^3)/(3*x*exp(4*exp(1171875/x))^2+(6*x^2-x)*exp(4*exp(1171875/x))+3*x^3-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \ln \left(x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}-\frac{1}{3}\right)-2 x \ln \left({\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}+x \right)+i \pi  x \mathrm{csgn}\left(\frac{i x \left(x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}-\frac{1}{3}\right)}{{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}+x}\right)^{3}+i \pi  x \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}+x}\right) \mathrm{csgn}\left(\frac{i \left(x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}-\frac{1}{3}\right)}{{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}+x}\right)^{2}+i \pi  x \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}-\frac{1}{3}\right)\right) \mathrm{csgn}\left(\frac{i \left(x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}-\frac{1}{3}\right)}{{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}+x}\right)^{2}+i \pi  x \,\mathrm{csgn}\left(\frac{i \left(x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}-\frac{1}{3}\right)}{{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}+x}\right) \mathrm{csgn}\left(\frac{i x \left(x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}-\frac{1}{3}\right)}{{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}+x}\right)^{2}-i \pi  x \,\mathrm{csgn}\left(\frac{i \left(x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}-\frac{1}{3}\right)}{{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}+x}\right) \mathrm{csgn}\left(\frac{i x \left(x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}-\frac{1}{3}\right)}{{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}+x}\right) \mathrm{csgn}\left(i x \right)-i \pi  x \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}+x}\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}-\frac{1}{3}\right)\right) \mathrm{csgn}\left(\frac{i \left(x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}-\frac{1}{3}\right)}{{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}+x}\right)-i \pi  x \mathrm{csgn}\left(\frac{i \left(x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}-\frac{1}{3}\right)}{{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}+x}\right)^{3}+2 i x \pi +i \pi  x \mathrm{csgn}\left(\frac{i x \left(x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}-\frac{1}{3}\right)}{{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}+x}\right)^{2} \mathrm{csgn}\left(i x \right)-2 i \pi  x \mathrm{csgn}\left(\frac{i x \left(x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}-\frac{1}{3}\right)}{{\mathrm e}^{4 \,{\mathrm e}^{\frac{1171875}{x}}}+x}\right)^{2}+2 x \ln \left(x \right)$&$502$\\ \hline \end{longtable}"," ",0,"2*x*ln(x+exp(4*exp(1171875/x))-1/3)-2*x*ln(exp(4*exp(1171875/x))+x)+I*Pi*x*csgn(I*x/(exp(4*exp(1171875/x))+x)*(x+exp(4*exp(1171875/x))-1/3))^3+I*Pi*x*csgn(I/(exp(4*exp(1171875/x))+x))*csgn(I/(exp(4*exp(1171875/x))+x)*(x+exp(4*exp(1171875/x))-1/3))^2+I*Pi*x*csgn(I*(x+exp(4*exp(1171875/x))-1/3))*csgn(I/(exp(4*exp(1171875/x))+x)*(x+exp(4*exp(1171875/x))-1/3))^2+I*Pi*x*csgn(I/(exp(4*exp(1171875/x))+x)*(x+exp(4*exp(1171875/x))-1/3))*csgn(I*x/(exp(4*exp(1171875/x))+x)*(x+exp(4*exp(1171875/x))-1/3))^2-I*Pi*x*csgn(I/(exp(4*exp(1171875/x))+x)*(x+exp(4*exp(1171875/x))-1/3))*csgn(I*x/(exp(4*exp(1171875/x))+x)*(x+exp(4*exp(1171875/x))-1/3))*csgn(I*x)-I*Pi*x*csgn(I/(exp(4*exp(1171875/x))+x))*csgn(I*(x+exp(4*exp(1171875/x))-1/3))*csgn(I/(exp(4*exp(1171875/x))+x)*(x+exp(4*exp(1171875/x))-1/3))-I*Pi*x*csgn(I/(exp(4*exp(1171875/x))+x)*(x+exp(4*exp(1171875/x))-1/3))^3+2*I*Pi*x+I*Pi*x*csgn(I*x/(exp(4*exp(1171875/x))+x)*(x+exp(4*exp(1171875/x))-1/3))^2*csgn(I*x)-2*I*Pi*x*csgn(I*x/(exp(4*exp(1171875/x))+x)*(x+exp(4*exp(1171875/x))-1/3))^2+2*x*ln(x)","C"
5941,1,27,21,0.056000," ","int(((40*x+40)*exp(x^2+2*x)*exp(exp(x))^2+(-4*exp(x)*x^2+4*x^3+4*x^2+4*x)*exp(x^2+2*x))/exp(exp(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$20 \,{\mathrm e}^{x \left(2+x \right)}+2 x^{2} {\mathrm e}^{x^{2}-2 \,{\mathrm e}^{x}+2 x}$&$27$\\ \hline \end{longtable}"," ",0,"20*exp(x*(2+x))+2*x^2*exp(x^2-2*exp(x)+2*x)","A"
5942,1,63,30,0.058000," ","int(((2*exp(-ln(x)+x^2-3)+8)*ln(ln(5)*exp(-ln(x)+x^2-3)+4*ln(5))^2+(((-8*x^2-4*x+4)*ln(x)+4*x)*exp(-ln(x)+x^2-3)-16*x*ln(x)+16*x)*ln(ln(5)*exp(-ln(x)+x^2-3)+4*ln(5))+((-8*x^3-4*x^2+6*x)*ln(x)+2*x^2-2*x)*exp(-ln(x)+x^2-3)+(-16*x^2+8*x)*ln(x)+8*x^2-8*x)/(x*ln(x)^2*exp(-ln(x)+x^2-3)+4*x*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \ln \left(\frac{\ln \left(5\right) {\mathrm e}^{x^{2}-3}}{x}+4 \ln \left(5\right)\right)^{2}}{\ln \left(x \right)}-\frac{4 x \ln \left(\frac{\ln \left(5\right) {\mathrm e}^{x^{2}-3}}{x}+4 \ln \left(5\right)\right)}{\ln \left(x \right)}-\frac{2 x \left(x -1\right)}{\ln \left(x \right)}$&$63$\\ \hline \end{longtable}"," ",0,"-2/ln(x)*ln(ln(5)*exp(x^2-3)/x+4*ln(5))^2-4*x/ln(x)*ln(ln(5)*exp(x^2-3)/x+4*ln(5))-2*x*(x-1)/ln(x)","B"
5943,1,23,20,0.065000," ","int(1/3*((-10*ln(x)^2+10*ln(x))*ln(1/16*x^2)-10*x^2)/x^3/ln(1/16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5 \ln \left(x \right)^{2}}{3 x^{2}}-\frac{5 \ln \left(-4 \ln \left(2\right)+\ln \left(x^{2}\right)\right)}{3}$&$23$\\ risch&$\frac{5 \ln \left(x \right)^{2}}{3 x^{2}}-\frac{5 \ln \left(\ln \left(x \right)-\frac{i \left(\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-8 i \ln \left(2\right)\right)}{4}\right)}{3}$&$70$\\ \hline \end{longtable}"," ",0,"5/3*ln(x)^2/x^2-5/3*ln(-4*ln(2)+ln(x^2))","A"
5944,1,65,24,0.069000," ","int(((-4*x*exp(exp(5)+exp(1))^2+x)*ln(x)+(8*x^2-28*x+24)*exp(exp(5)+exp(1))^2-2*x^2+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$24 \,{\mathrm e}^{2 \,{\mathrm e}^{5}} {\mathrm e}^{2 \,{\mathrm e}} \ln \left(x \right)+\left(4 \,{\mathrm e}^{2 \,{\mathrm e}^{5}} {\mathrm e}^{2 \,{\mathrm e}}-1\right) x^{2}+\left(-4 \,{\mathrm e}^{2 \,{\mathrm e}^{5}} {\mathrm e}^{2 \,{\mathrm e}}+1\right) x \ln \left(x \right)-24 x \,{\mathrm e}^{2 \,{\mathrm e}^{5}} {\mathrm e}^{2 \,{\mathrm e}}$&$65$\\ risch&$-x \left(4 \,{\mathrm e}^{2 \,{\mathrm e}^{5}+2 \,{\mathrm e}}-1\right) \ln \left(x \right)+4 x^{2} {\mathrm e}^{2 \,{\mathrm e}^{5}+2 \,{\mathrm e}}-24 x \,{\mathrm e}^{2 \,{\mathrm e}^{5}+2 \,{\mathrm e}}-x^{2}+24 \ln \left(x \right) {\mathrm e}^{2 \,{\mathrm e}^{5}+2 \,{\mathrm e}}$&$68$\\ default&$-4 \,{\mathrm e}^{2 \,{\mathrm e}^{5}} {\mathrm e}^{2 \,{\mathrm e}} \left(x \ln \left(x \right)-x \right)+4 \,{\mathrm e}^{2 \,{\mathrm e}^{5}} {\mathrm e}^{2 \,{\mathrm e}} x^{2}-28 x \,{\mathrm e}^{2 \,{\mathrm e}^{5}} {\mathrm e}^{2 \,{\mathrm e}}+x \ln \left(x \right)+24 \,{\mathrm e}^{2 \,{\mathrm e}^{5}} {\mathrm e}^{2 \,{\mathrm e}} \ln \left(x \right)-x^{2}$&$73$\\ \hline \end{longtable}"," ",0,"24*ln(x)*exp(exp(5))^2*exp(exp(1))^2+(4*exp(exp(5))^2*exp(exp(1))^2-1)*x^2+(-4*exp(exp(5))^2*exp(exp(1))^2+1)*x*ln(x)-24*x*exp(exp(5))^2*exp(exp(1))^2","B"
5945,1,11,10,0.072000," ","int(24*exp(-8/x^3/ln(3))/x^4/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{8}{x^{3} \ln \left(3\right)}}$&$11$\\ derivativedivides&${\mathrm e}^{-\frac{8}{x^{3} \ln \left(3\right)}}$&$11$\\ default&${\mathrm e}^{-\frac{8}{x^{3} \ln \left(3\right)}}$&$11$\\ norman&${\mathrm e}^{-\frac{8}{x^{3} \ln \left(3\right)}}$&$11$\\ risch&${\mathrm e}^{-\frac{8}{x^{3} \ln \left(3\right)}}$&$11$\\ meijerg&$-1+{\mathrm e}^{-\frac{8}{x^{3} \ln \left(3\right)}}$&$13$\\ \hline \end{longtable}"," ",0,"exp(-8/x^3/ln(3))","A"
5946,1,79,23,0.151000," ","int((-x^2*exp(x)*ln(x^2)+(-2*x-2)*exp(x)-x^3-2*x^2-x)/(5*x*exp(x)^2*ln(x^2)^2+(10*x^3+40*x^2+30*x)*exp(x)*ln(x^2)+5*x^5+40*x^4+110*x^3+120*x^2+45*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\frac{2 x}{5}+\frac{2}{5}}{-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}+2 x^{2}+4 \,{\mathrm e}^{x} \ln \left(x \right)+8 x +6}$&$79$\\ \hline \end{longtable}"," ",0,"2/5*(x+1)/(-I*Pi*csgn(I*x)^2*csgn(I*x^2)*exp(x)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2*exp(x)-I*Pi*csgn(I*x^2)^3*exp(x)+2*x^2+4*exp(x)*ln(x)+8*x+6)","C"
5947,0,0,24,0.212000," ","int(((128*x-48)*exp(-2/3*x+2/3)+(-96*x+48)*exp(4)+168*x^2-168*x)*exp(x)^2/(48*x^2*exp(-2/3*x+2/3)^2+(-96*x^2*exp(4)+168*x^3)*exp(-2/3*x+2/3)+48*x^2*exp(4)^2-168*x^3*exp(4)+147*x^4),x)","\[\int \frac{\left(\left(128 x -48\right) {\mathrm e}^{-\frac{2 x}{3}+\frac{2}{3}}+\left(-96 x +48\right) {\mathrm e}^{4}+168 x^{2}-168 x \right) {\mathrm e}^{2 x}}{48 x^{2} {\mathrm e}^{-\frac{4 x}{3}+\frac{4}{3}}+\left(-96 x^{2} {\mathrm e}^{4}+168 x^{3}\right) {\mathrm e}^{-\frac{2 x}{3}+\frac{2}{3}}+48 x^{2} {\mathrm e}^{8}-168 x^{3} {\mathrm e}^{4}+147 x^{4}}\, dx\]"," ",0,"int(((128*x-48)*exp(-2/3*x+2/3)+(-96*x+48)*exp(4)+168*x^2-168*x)*exp(x)^2/(48*x^2*exp(-2/3*x+2/3)^2+(-96*x^2*exp(4)+168*x^3)*exp(-2/3*x+2/3)+48*x^2*exp(4)^2-168*x^3*exp(4)+147*x^4),x)","F"
5948,1,20,16,0.696000," ","int((20+4*x)*ln(1/25*(36*x^2+288*x+576)*exp(x)^2)/(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{\left(36 x^{2}+288 x +576\right) {\mathrm e}^{2 x}}{25}\right)^{2}$&$20$\\ default&$4 \ln \left(\frac{\left(36 x^{2}+288 x +576\right) {\mathrm e}^{2 x}}{25}\right) \ln \left(4+x \right)+4 \ln \left(\frac{\left(36 x^{2}+288 x +576\right) {\mathrm e}^{2 x}}{25}\right) x -4 x^{2}+32 \ln \left(4+x \right)-8 \left(4+x \right) \ln \left(4+x \right)+32-4 \ln \left(4+x \right)^{2}$&$74$\\ risch&$-4 x^{2}-2 i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i \left(4+x \right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x} \left(4+x \right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-2 i \pi  x \,\mathrm{csgn}\left(i \left(4+x \right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x} \left(4+x \right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-8 x \ln \left(5\right)+8 x \ln \left(3\right)+8 x \ln \left(2\right)-2 i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-2 i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{2 x} \left(4+x \right)^{2}\right)^{3}-2 i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-2 i \pi  x \mathrm{csgn}\left(i \left(4+x \right)^{2}\right)^{3}-2 i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i \left(4+x \right)^{2}\right)^{3}-2 i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i {\mathrm e}^{2 x} \left(4+x \right)^{2}\right)^{3}-8 \ln \left(5\right) \ln \left(4+x \right)+8 \ln \left(2\right) \ln \left(4+x \right)+8 \ln \left(3\right) \ln \left(4+x \right)+\left(8 x +8 \ln \left(4+x \right)\right) \ln \left({\mathrm e}^{x}\right)+4 \ln \left(4+x \right)^{2}-2 i \pi  x \mathrm{csgn}\left(i \left(4+x \right)\right)^{2} \mathrm{csgn}\left(i \left(4+x \right)^{2}\right)+4 i \pi  x \,\mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(i \left(4+x \right)^{2}\right)^{2}+2 i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i \left(4+x \right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x} \left(4+x \right)^{2}\right)^{2}+2 i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i {\mathrm e}^{2 x} \left(4+x \right)^{2}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-2 i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+4 i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+2 i \pi  x \,\mathrm{csgn}\left(i \left(4+x \right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x} \left(4+x \right)^{2}\right)^{2}-2 i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i \left(4+x \right)\right)^{2} \mathrm{csgn}\left(i \left(4+x \right)^{2}\right)+4 i \pi  \ln \left(4+x \right) \mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(i \left(4+x \right)^{2}\right)^{2}+2 i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{2 x} \left(4+x \right)^{2}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-2 i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+4 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}$&$560$\\ \hline \end{longtable}"," ",0,"ln(1/25*(36*x^2+288*x+576)*exp(x)^2)^2","A"
5949,1,141,25,0.182000," ","int(1/4*(((5*exp(3+x)*x+1+5*x)*ln(x)^3+(75*x*exp(3+x)^2+(75*x^2+75*x+15)*exp(3+x)+75*x^2+15*x)*ln(x)^2+(375*x*exp(3+x)^3+(750*x^2+375*x+75)*exp(3+x)^2+(375*x^3+750*x^2+150*x)*exp(3+x)+375*x^3+75*x^2)*ln(x)+625*x*exp(3+x)^4+(1875*x^2+625*x+125)*exp(3+x)^3+(1875*x^3+1875*x^2+375*x)*exp(3+x)^2+(625*x^4+1875*x^3+375*x^2)*exp(3+x)+625*x^4+125*x^3-4*x)*exp(-1/16*ln(x)^4+1/16*(-20*exp(3+x)-20*x)*ln(x)^3+1/16*(-150*exp(3+x)^2-300*exp(3+x)*x-150*x^2)*ln(x)^2+1/16*(-500*exp(3+x)^3-1500*x*exp(3+x)^2-1500*x^2*exp(3+x)-500*x^3)*ln(x)-625/16*exp(3+x)^4-625/4*x*exp(3+x)^3-1875/8*x^2*exp(3+x)^2-625/4*x^3*exp(3+x)-625/16*x^4+x)+4*x+4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x \right)-x^{-\frac{375 x^{2} {\mathrm e}^{3+x}}{4}-\frac{125 x^{3}}{4}-\frac{375 x \,{\mathrm e}^{2 x +6}}{4}-\frac{125 \,{\mathrm e}^{3 x +9}}{4}} {\mathrm e}^{-\frac{\ln \left(x \right)^{4}}{16}-\frac{5 \ln \left(x \right)^{3} {\mathrm e}^{3+x}}{4}-\frac{5 x \ln \left(x \right)^{3}}{4}-\frac{75 \ln \left(x \right)^{2} {\mathrm e}^{3+x} x}{4}-\frac{75 x^{2} \ln \left(x \right)^{2}}{8}-\frac{75 \ln \left(x \right)^{2} {\mathrm e}^{2 x +6}}{8}-\frac{625 \,{\mathrm e}^{4 x +12}}{16}-\frac{625 x \,{\mathrm e}^{3 x +9}}{4}-\frac{1875 x^{2} {\mathrm e}^{2 x +6}}{8}-\frac{625 x^{3} {\mathrm e}^{3+x}}{4}-\frac{625 x^{4}}{16}+x}$&$141$\\ \hline \end{longtable}"," ",0,"x+ln(x)-x^(-375/4*x^2*exp(3+x)-125/4*x^3-375/4*x*exp(2*x+6)-125/4*exp(3*x+9))*exp(-1/16*ln(x)^4-5/4*ln(x)^3*exp(3+x)-5/4*x*ln(x)^3-75/4*ln(x)^2*exp(3+x)*x-75/8*x^2*ln(x)^2-75/8*ln(x)^2*exp(2*x+6)-625/16*exp(4*x+12)-625/4*x*exp(3*x+9)-1875/8*x^2*exp(2*x+6)-625/4*x^3*exp(3+x)-625/16*x^4+x)","B"
5950,1,26,30,0.568000," ","int((-100*ln(x^2)^2-25*ln(x^2)-130*x+50)/(169*x^2-130*x+25)/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{20 x \ln \left(x^{2}\right)+5 x}{\left(13 x -5\right) \ln \left(x^{2}\right)}$&$26$\\ risch&$\frac{100}{13 \left(13 x -5\right)}+\frac{5 x}{\left(13 x -5\right) \ln \left(x^{2}\right)}$&$27$\\ \hline \end{longtable}"," ",0,"(20*x*ln(x^2)+5*x)/(13*x-5)/ln(x^2)","A"
5951,1,33,31,0.057000," ","int((-8*x*exp(4)^2*ln(x)*ln(ln(x))^2+(-16*x^2-48*x+8)*exp(4)^2*exp(x^2+6*x+9)*ln(x)*ln(ln(x))+8*exp(4)^2*exp(x^2+6*x+9)-8*x*exp(4)^2)/x^4/ln(x)/ln(ln(x))^2/exp((exp(x^2+6*x+9)-x)/x/ln(ln(x)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{\frac{8 x \ln \left(\ln \left(x \right)\right)-2 \,{\mathrm e}^{\left(3+x \right)^{2}}+2 x}{x \ln \left(\ln \left(x \right)\right)}}}{x^{2}}$&$33$\\ \hline \end{longtable}"," ",0,"4/x^2*exp(2*(4*x*ln(ln(x))-exp((3+x)^2)+x)/ln(ln(x))/x)","A"
5952,1,28,23,0.564000," ","int((-32*exp(x)^2+(32*x+32)*exp(x)-32*x+8)/(4*exp(x)^4-16*x*exp(x)^3+(4*exp(8)+24*x^2-4*x+40)*exp(x)^2+(-8*x*exp(8)-16*x^3+8*x^2-80*x)*exp(x)+exp(8)^2+(4*x^2-2*x+20)*exp(8)+4*x^4-4*x^3+41*x^2-20*x+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{8}{2 \,{\mathrm e}^{2 x}-4 \,{\mathrm e}^{x} x +2 x^{2}+{\mathrm e}^{8}-x +10}$&$28$\\ risch&$\frac{8}{2 \,{\mathrm e}^{2 x}-4 \,{\mathrm e}^{x} x +2 x^{2}+{\mathrm e}^{8}-x +10}$&$28$\\ \hline \end{longtable}"," ",0,"8/(2*exp(x)^2-4*exp(x)*x+2*x^2+exp(8)-x+10)","A"
5953,1,34,24,0.204000," ","int(((-x^2+9*x+36)*exp(15)^2*exp(4/x)*exp(1/9*x)+9*x*exp(15)^2-9*x*exp(15))/(9*x*exp(15)^2*exp(4/x)^2*exp(1/9*x)^2+((-18*x^2+18*x)*exp(15)^2-18*x*exp(15))*exp(4/x)*exp(1/9*x)+(9*x^3-18*x^2+9*x)*exp(15)^2+(18*x^2-18*x)*exp(15)+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \,{\mathrm e}^{15}}{-{\mathrm e}^{\frac{x^{2}+135 x +36}{9 x}}+x \,{\mathrm e}^{15}-{\mathrm e}^{15}+1}$&$34$\\ \hline \end{longtable}"," ",0,"-x*exp(15)/(-exp(1/9*(x^2+135*x+36)/x)+x*exp(15)-exp(15)+1)","A"
5954,1,24,23,0.079000," ","int((5*exp(2*x)^2+96*exp(2*x)-x^2+2*x+260)/(exp(2*x)^2+32*exp(2*x)-x^2+4*x+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left({\mathrm e}^{4 x}+32 \,{\mathrm e}^{2 x}-x^{2}+4 x +256\right)$&$24$\\ norman&$x +\ln \left(x^{2}-{\mathrm e}^{4 x}-4 x -32 \,{\mathrm e}^{2 x}-256\right)$&$26$\\ \hline \end{longtable}"," ",0,"x+ln(exp(4*x)+32*exp(2*x)-x^2+4*x+256)","A"
5955,1,52,21,0.066000," ","int(1/2*(4*x^4*exp(1/4*(-exp(x)*x^4+20*x^4+60)/x^4)^2+(-x^5*exp(x)-8*x^4-240)*exp(1/4*(-exp(x)*x^4+20*x^4+60)/x^4)+x^5*exp(x)+4*x^4+240)/x^3/exp(1/4*(-exp(x)*x^4+20*x^4+60)/x^4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-2 x^{2} {\mathrm e}^{\frac{{\mathrm e}^{x} x^{4}-20 x^{4}-60}{4 x^{4}}}+x^{2} {\mathrm e}^{\frac{{\mathrm e}^{x} x^{4}-20 x^{4}-60}{2 x^{4}}}$&$52$\\ \hline \end{longtable}"," ",0,"x^2-2*x^2*exp(1/4*(exp(x)*x^4-20*x^4-60)/x^4)+x^2*exp(1/2*(exp(x)*x^4-20*x^4-60)/x^4)","B"
5956,1,45,25,0.469000," ","int((((2*x^2-8*x)*exp(5)^2+(4*x^4-12*x^3-16*x^2-2*x)*exp(5)+2*x^6-4*x^5-14*x^4-10*x^3-2*x^2)*ln(((-x+4)*exp(5)-x^3+3*x^2+4*x+1)/(x*exp(5)+x^3+x^2))^2+(8*x*exp(5)^2+(16*x^3+16*x^2+2*x)*exp(5)+8*x^5+16*x^4+14*x^3+4*x^2)*ln(((-x+4)*exp(5)-x^3+3*x^2+4*x+1)/(x*exp(5)+x^3+x^2)))/((x-4)*exp(5)^2+(2*x^3-6*x^2-8*x-1)*exp(5)+x^5-2*x^4-7*x^3-5*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2} \ln \left(\frac{\left(-x +4\right) {\mathrm e}^{5}-x^{3}+3 x^{2}+4 x +1}{x \,{\mathrm e}^{5}+x^{3}+x^{2}}\right)^{2}$&$45$\\ risch&$x^{2} \ln \left(\frac{\left(-x +4\right) {\mathrm e}^{5}-x^{3}+3 x^{2}+4 x +1}{x \,{\mathrm e}^{5}+x^{3}+x^{2}}\right)^{2}$&$45$\\ \hline \end{longtable}"," ",0,"x^2*ln(((-x+4)*exp(5)-x^3+3*x^2+4*x+1)/(x*exp(5)+x^3+x^2))^2","A"
5957,1,25,21,0.085000," ","int(((-4*x^3*exp(x^2)^2+16*x^3*exp(x^2)-x)*exp(exp(x^2)^2-8*exp(x^2)+16)+2*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 x -{\mathrm e}^{{\mathrm e}^{2 x^{2}}-8 \,{\mathrm e}^{x^{2}}+16} x +\ln \left(x \right)$&$25$\\ risch&$2 x -{\mathrm e}^{{\mathrm e}^{2 x^{2}}-8 \,{\mathrm e}^{x^{2}}+16} x +\ln \left(x \right)$&$25$\\ \hline \end{longtable}"," ",0,"2*x-exp(exp(x^2)^2-8*exp(x^2)+16)*x+ln(x)","A"
5958,1,37,23,0.140000," ","int(((x*ln(18)*exp(x)*exp(5/exp(x)/x)+exp(x)*x^2)*ln((ln(18)*exp(5/exp(x)/x)+x)/ln(18))^2+((-10*x-10)*ln(18)*exp(5/exp(x)/x)+2*exp(x)*x^2)*ln((ln(18)*exp(5/exp(x)/x)+x)/ln(18)))/(2*x*ln(18)*exp(x)*exp(5/exp(x)/x)+2*exp(x)*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(\frac{\left(\ln \left(2\right)+2 \ln \left(3\right)\right) {\mathrm e}^{\frac{5 \,{\mathrm e}^{-x}}{x}}+x}{\ln \left(2\right)+2 \ln \left(3\right)}\right)^{2}}{2}$&$37$\\ \hline \end{longtable}"," ",0,"1/2*x*ln(((ln(2)+2*ln(3))*exp(5*exp(-x)/x)+x)/(ln(2)+2*ln(3)))^2","A"
5959,1,19,16,0.443000," ","int((-2*x^3-14*x^2-20*x+2)*exp(-x^2-10*x+1)/(x^2+4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \,{\mathrm e}^{-x^{2}-10 x +1}}{2+x}$&$19$\\ norman&$\frac{x \,{\mathrm e}^{-x^{2}-10 x +1}}{2+x}$&$19$\\ risch&$\frac{x \,{\mathrm e}^{-x^{2}-10 x +1}}{2+x}$&$19$\\ \hline \end{longtable}"," ",0,"x*exp(-x^2-10*x+1)/(2+x)","A"
5960,1,28,28,0.113000," ","int((6*x^7-4*x^6-4*x^5-4*x^4-4*x^3-3*x^2)*exp(x^2+5)/(9*x^6-12*x^5-8*x^4+2*x^3+8*x^2+4*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{3} {\mathrm e}^{x^{2}+5}}{3 x^{3}-2 x^{2}-2 x -1}$&$28$\\ norman&$\frac{x^{3} {\mathrm e}^{x^{2}+5}}{3 x^{3}-2 x^{2}-2 x -1}$&$28$\\ risch&$\frac{x^{3} {\mathrm e}^{x^{2}+5}}{3 x^{3}-2 x^{2}-2 x -1}$&$28$\\ \hline \end{longtable}"," ",0,"x^3*exp(x^2+5)/(3*x^3-2*x^2-2*x-1)","A"
5961,1,22,22,0.228000," ","int(((x^2-4*x)*ln(1/8*(x-4)*ln(2)/x)-2*x^2+4*x+8)*exp((-ln(1/8*(x-4)*ln(2)/x)+2)/(x-2))/(x^4-8*x^3+20*x^2-16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{\ln \left(\frac{\left(x -4\right) \ln \left(2\right)}{8 x}\right)-2}{x -2}}$&$22$\\ norman&$\frac{x \,{\mathrm e}^{\frac{-\ln \left(\frac{\left(x -4\right) \ln \left(2\right)}{8 x}\right)+2}{x -2}}-2 \,{\mathrm e}^{\frac{-\ln \left(\frac{\left(x -4\right) \ln \left(2\right)}{8 x}\right)+2}{x -2}}}{x -2}$&$56$\\ \hline \end{longtable}"," ",0,"exp(-(ln(1/8*(x-4)*ln(2)/x)-2)/(x-2))","A"
5962,1,19,22,0.238000," ","int((-exp(1)*ln(exp(3/4)/exp(x^2/exp(1)))-2*x^2)*exp(ln(exp(3/4)/exp(x^2/exp(1)))/x)/x^2/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-3+4 \ln \left({\mathrm e}^{x^{2} {\mathrm e}^{-1}}\right)}{4 x}}$&$19$\\ default&${\mathrm e}^{\frac{\ln \left({\mathrm e}^{\frac{3}{4}} {\mathrm e}^{-x^{2} {\mathrm e}^{-1}}\right)}{x}}$&$21$\\ \hline \end{longtable}"," ",0,"exp(-1/4*(-3+4*ln(exp(x^2*exp(-1))))/x)","A"
5963,0,0,20,180.000000," ","int(((8*exp(3)^2+16*exp(3)+8)*exp(x)^2+((8*x+8)*exp(3)^2+(12*x+48)*exp(3)+4*x+40)*exp(x)+8*x*exp(3)^2+(8*x+36)*exp(3)+2*x+18)*exp((4*exp(3)^2+8*exp(3)+4)*exp(x)^2+(8*x*exp(3)^2+(12*x+36)*exp(3)+4*x+36)*exp(x)+4*x^2*exp(3)^2+(4*x^2+36*x)*exp(3)+x^2+18*x+81),x)","\[\int \left(\left(8 \,{\mathrm e}^{6}+16 \,{\mathrm e}^{3}+8\right) {\mathrm e}^{2 x}+\left(\left(8 x +8\right) {\mathrm e}^{6}+\left(12 x +48\right) {\mathrm e}^{3}+4 x +40\right) {\mathrm e}^{x}+8 x \,{\mathrm e}^{6}+\left(8 x +36\right) {\mathrm e}^{3}+2 x +18\right) {\mathrm e}^{\left(8 \,{\mathrm e}^{3}+4 \,{\mathrm e}^{6}+4\right) {\mathrm e}^{2 x}+\left(8 x \,{\mathrm e}^{6}+\left(12 x +36\right) {\mathrm e}^{3}+4 x +36\right) {\mathrm e}^{x}+4 x^{2} {\mathrm e}^{6}+\left(4 x^{2}+36 x \right) {\mathrm e}^{3}+x^{2}+18 x +81}\, dx\]"," ",0,"int(((8*exp(3)^2+16*exp(3)+8)*exp(x)^2+((8*x+8)*exp(3)^2+(12*x+48)*exp(3)+4*x+40)*exp(x)+8*x*exp(3)^2+(8*x+36)*exp(3)+2*x+18)*exp((4*exp(3)^2+8*exp(3)+4)*exp(x)^2+(8*x*exp(3)^2+(12*x+36)*exp(3)+4*x+36)*exp(x)+4*x^2*exp(3)^2+(4*x^2+36*x)*exp(3)+x^2+18*x+81),x)","F"
5964,1,40,27,0.370000," ","int((((5*x^2+30*x)*ln(x)^2+(-5*x-30)*exp(1))*ln(2*x)^2+((-10*x^4-60*x^3-x)*ln(x)^2+(10*x^3+60*x^2)*exp(1))*ln(2*x)+(-2*x^3-12*x^2+x+6)*ln(x)^2*ln(x+6)+(5*x^6+30*x^5+x^3)*ln(x)^2+(-5*x^5-30*x^4)*exp(1))/((5*x^2+30*x)*ln(x)^2*ln(2*x)^2+(-10*x^4-60*x^3)*ln(x)^2*ln(2*x)+(5*x^6+30*x^5)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 i \ln \left(x +6\right)}{5 \left(-2 i x^{2}+2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)}+\frac{x \ln \left(x \right)+{\mathrm e}}{\ln \left(x \right)}$&$40$\\ \hline \end{longtable}"," ",0,"-2/5*I/(-2*I*x^2+2*I*ln(2)+2*I*ln(x))*ln(x+6)+(x*ln(x)+exp(1))/ln(x)","C"
5965,1,21,14,0.034000," ","int((x^2+4*x+16)*exp(((4+x)*ln(x)-x)/(4+x))*exp(exp(((4+x)*ln(x)-x)/(4+x)))/(x^3+8*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{x \ln \left(x \right)+4 \ln \left(x \right)-x}{4+x}}}$&$21$\\ \hline \end{longtable}"," ",0,"exp(exp((x*ln(x)+4*ln(x)-x)/(4+x)))","A"
5966,1,308,24,0.342000," ","int((((-24*x^3+12*x^2+324*x-1680)*exp(4/x)*ln(1/x*(5+x))+(60*x^2-420*x)*exp(4/x))*ln(x)+(-12*x^3+24*x^2+420*x)*exp(4/x)*ln(1/x*(5+x)))/(x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-12 x \left(x -7\right) {\mathrm e}^{\frac{4}{x}} \ln \left(x \right) \ln \left(5+x \right)-6 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2} {\mathrm e}^{\frac{4}{x}} \ln \left(x \right)+6 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) {\mathrm e}^{\frac{4}{x}} \ln \left(x \right)+6 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{3} {\mathrm e}^{\frac{4}{x}} \ln \left(x \right)-6 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right) {\mathrm e}^{\frac{4}{x}} \ln \left(x \right)+42 i \pi  x \,\mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2} {\mathrm e}^{\frac{4}{x}} \ln \left(x \right)-42 i \pi  x \,\mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) {\mathrm e}^{\frac{4}{x}} \ln \left(x \right)-42 i \pi  x \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{3} {\mathrm e}^{\frac{4}{x}} \ln \left(x \right)+42 i \pi  x \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right) {\mathrm e}^{\frac{4}{x}} \ln \left(x \right)+12 x^{2} {\mathrm e}^{\frac{4}{x}} \ln \left(x \right)^{2}-84 x \,{\mathrm e}^{\frac{4}{x}} \ln \left(x \right)^{2}$&$308$\\ \hline \end{longtable}"," ",0,"-12*x*(x-7)*exp(4/x)*ln(x)*ln(5+x)-6*I*Pi*x^2*csgn(I*(5+x))*csgn(I/x*(5+x))^2*exp(4/x)*ln(x)+6*I*Pi*x^2*csgn(I*(5+x))*csgn(I/x*(5+x))*csgn(I/x)*exp(4/x)*ln(x)+6*I*Pi*x^2*csgn(I/x*(5+x))^3*exp(4/x)*ln(x)-6*I*Pi*x^2*csgn(I/x*(5+x))^2*csgn(I/x)*exp(4/x)*ln(x)+42*I*Pi*x*csgn(I*(5+x))*csgn(I/x*(5+x))^2*exp(4/x)*ln(x)-42*I*Pi*x*csgn(I*(5+x))*csgn(I/x*(5+x))*csgn(I/x)*exp(4/x)*ln(x)-42*I*Pi*x*csgn(I/x*(5+x))^3*exp(4/x)*ln(x)+42*I*Pi*x*csgn(I/x*(5+x))^2*csgn(I/x)*exp(4/x)*ln(x)+12*x^2*exp(4/x)*ln(x)^2-84*x*exp(4/x)*ln(x)^2","C"
5967,1,25,18,0.031000," ","int(1/4*(x+1)*exp(x)+1/2*(-8*x-4)*ln(3)+1/2*x+1/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-2 \ln \left(3\right)+\frac{1}{4}\right) x +\left(-2 \ln \left(3\right)+\frac{1}{4}\right) x^{2}+\frac{{\mathrm e}^{x} x}{4}$&$25$\\ default&$\frac{x}{4}+\frac{x^{2}}{4}-2 x^{2} \ln \left(3\right)-2 x \ln \left(3\right)+\frac{{\mathrm e}^{x} x}{4}$&$27$\\ risch&$\frac{x}{4}+\frac{x^{2}}{4}-2 x^{2} \ln \left(3\right)-2 x \ln \left(3\right)+\frac{{\mathrm e}^{x} x}{4}$&$27$\\ \hline \end{longtable}"," ",0,"(-2*ln(3)+1/4)*x+(-2*ln(3)+1/4)*x^2+1/4*exp(x)*x","A"
5968,1,22,22,0.079000," ","int(((x^4+24*x^3+135*x^2)*exp(x)-x^3-27*x^2-165*x+225)*exp(1/5*((x^5+30*x^4+225*x^3)*exp(x)+5*x^3+150*x^2+1125*x)/exp(x))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \left(x +15\right)^{2} \left({\mathrm e}^{x} x^{2}+5\right) {\mathrm e}^{-x}}{5}}$&$22$\\ norman&${\mathrm e}^{\frac{\left(\left(x^{5}+30 x^{4}+225 x^{3}\right) {\mathrm e}^{x}+5 x^{3}+150 x^{2}+1125 x \right) {\mathrm e}^{-x}}{5}}$&$39$\\ \hline \end{longtable}"," ",0,"exp(1/5*x*(x+15)^2*(exp(x)*x^2+5)*exp(-x))","A"
5969,1,92,32,11.499000," ","int((((4*x^2-4*x)*exp(x)*ln(1-x)^2+((-8*x^3+8*x^2)*exp(x)-2*x^2+4*x)*ln(1-x)+(4*x^4-4*x^3)*exp(x)+2*x^3-4*x^2)*exp(5-exp(x))^2+((2*x^2-4*x)*ln(1-x)-2*x^3+4*x^2)*ln(x^2)+(-2*x^2+6*x-4)*ln(1-x)^2+(2*x^3-8*x^2+8*x)*ln(1-x)+2*x^3-4*x^2)/((x^2-x)*exp(5-exp(x))^6+((-3*x^2+3*x)*ln(x^2)+3*x^3-3*x^2)*exp(5-exp(x))^4+((3*x^2-3*x)*ln(x^2)^2+(-6*x^3+6*x^2)*ln(x^2)+3*x^4-3*x^3)*exp(5-exp(x))^2+(-x^2+x)*ln(x^2)^3+(3*x^3-3*x^2)*ln(x^2)^2+(-3*x^4+3*x^3)*ln(x^2)+x^5-x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x^{2}-8 x \ln \left(1-x \right)+4 \ln \left(1-x \right)^{2}}{\left(2 \,{\mathrm e}^{-2 \,{\mathrm e}^{x}+10}-4 \ln \left(x \right)+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 x +i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)^{2}}$&$92$\\ \hline \end{longtable}"," ",0,"4*(x^2-2*x*ln(1-x)+ln(1-x)^2)/(2*exp(-2*exp(x)+10)-4*ln(x)+I*Pi*csgn(I*x^2)^3+2*x+I*Pi*csgn(I*x)^2*csgn(I*x^2)-2*I*Pi*csgn(I*x)*csgn(I*x^2)^2)^2","C"
5970,1,52,23,0.363000," ","int(((5+2*x)*exp(5)*exp(4*x)^2+(4*x^3+10*x^2+8*x+1)*exp(5)*exp(4*x)+(2*x^5+9*x^4+12*x^3+5*x^2)*exp(5))*exp(((x^2+5*x)*exp(5)*exp(4*x)+(x^4+6*x^3+6*x^2+x)*exp(5))/(exp(4*x)+x^2+x))/(exp(4*x)^2+(2*x^2+2*x)*exp(4*x)+x^4+2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \left(x^{3} {\mathrm e}^{5}+6 x^{2} {\mathrm e}^{5}+6 x \,{\mathrm e}^{5}+{\mathrm e}^{4 x +5} x +{\mathrm e}^{5}+5 \,{\mathrm e}^{4 x +5}\right)}{{\mathrm e}^{4 x}+x^{2}+x}}$&$52$\\ \hline \end{longtable}"," ",0,"exp(x*(x^3*exp(5)+6*x^2*exp(5)+6*x*exp(5)+exp(4*x+5)*x+exp(5)+5*exp(4*x+5))/(exp(4*x)+x^2+x))","B"
5971,1,1264,22,0.462000," ","int((((192*x^5+128*x^4-128*x^2)*exp(x)+64*x^6+254*x^5-4*x^4-128*x^3+4*x^2)*ln(4*exp(x)^2*x^2+1/256*(2048*x^3-64*x^2)*exp(x)+4*x^4-1/4*x^3+1/256*x^2)+(192*x^6-64*x^5-128*x^4+64*x^3+256*x^2-128)*exp(x)+64*x^7+190*x^6-258*x^5-60*x^4+386*x^3-8*x^2-128*x+4)/(32*x^5*exp(x)+32*x^6-x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}+\frac{4 \left(x^{3}+2 x^{2} \ln \left(x \right)+1\right) \ln \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)}{x^{2}}+\frac{1+4 x^{2} \ln \left(x \right)+2 x^{3}-2 x^{2}+x^{6}-2 x^{5}+4 x^{5} \ln \left(x \right)+4 x^{4} \ln \left(x \right)^{2}-16 x^{5} \ln \left(2\right)-4 x^{4} \ln \left(x \right)-16 x^{2} \ln \left(2\right)+4 i \pi  \ln \left(x +{\mathrm e}^{x}-\frac{1}{32}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} x^{4}-2 i \pi  \ln \left(x +{\mathrm e}^{x}-\frac{1}{32}\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right) x^{4}+4 i \pi  \ln \left(x +{\mathrm e}^{x}-\frac{1}{32}\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{2} x^{4}-i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right) \mathrm{csgn}\left(i x^{2}\right)-i \pi  \,x^{5} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right) \mathrm{csgn}\left(i x^{2}\right)-4 \ln \left(x +{\mathrm e}^{x}-\frac{1}{32}\right) x^{4}-32 \ln \left(x \right) \ln \left(2\right) x^{4}-32 \ln \left(2\right) \ln \left(x +{\mathrm e}^{x}-\frac{1}{32}\right) x^{4}-i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{3}+4 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{2} x^{4}+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{2} x^{4}+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{2} \mathrm{csgn}\left(i x^{2}\right) x^{4}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) x^{4}+4 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} x^{4}+2 i \pi  \ln \left(x +{\mathrm e}^{x}-\frac{1}{32}\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{2} x^{4}+2 i \pi  \ln \left(x +{\mathrm e}^{x}-\frac{1}{32}\right) \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{2} \mathrm{csgn}\left(i x^{2}\right) x^{4}-2 i \pi  \ln \left(x +{\mathrm e}^{x}-\frac{1}{32}\right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) x^{4}+2 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \,x^{5} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,x^{5} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)+2 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{2}-i \pi  \,x^{5} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)+2 i \pi  \,x^{5} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{2}-2 i \pi  \ln \left(x +{\mathrm e}^{x}-\frac{1}{32}\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{3} x^{4}-2 i \pi  \ln \left(x +{\mathrm e}^{x}-\frac{1}{32}\right) \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{3} x^{4}-2 i \pi  \ln \left(x +{\mathrm e}^{x}-\frac{1}{32}\right) \mathrm{csgn}\left(i x^{2}\right)^{3} x^{4}+i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{2}+i \pi  \,x^{5} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{2}+i \pi  \,x^{5} \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right) \mathrm{csgn}\left(i x^{2}\right) x^{4}-2 i \pi  \ln \left(x +{\mathrm e}^{x}-\frac{1}{32}\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right) \mathrm{csgn}\left(i x^{2}\right) x^{4}-i \pi  \,x^{5} \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{3}-i \pi  \,x^{5} \mathrm{csgn}\left(i x^{2}\right)^{3}-i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{3}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right) x^{4}+i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{3} x^{4}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2} \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{3} x^{4}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} x^{4}-i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}-i \pi  \,x^{5} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{x}-\frac{1}{32}\right)^{2}\right)^{3}}{x^{4}}$&$1264$\\ \hline \end{longtable}"," ",0,"4*ln(x+exp(x)-1/32)^2+4*(x^3+2*x^2*ln(x)+1)/x^2*ln(x+exp(x)-1/32)+(1+4*x^2*ln(x)+2*x^3-2*x^2+x^6-2*x^5+4*x^5*ln(x)+4*x^4*ln(x)^2-16*x^5*ln(2)-4*x^4*ln(x)-16*x^2*ln(2)-I*Pi*x^2*csgn(I*x^2)^3-I*Pi*x^5*csgn(I*(x+exp(x)-1/32)^2)^3-4*ln(x+exp(x)-1/32)*x^4-32*ln(x)*ln(2)*x^4-32*ln(2)*ln(x+exp(x)-1/32)*x^4-2*I*Pi*ln(x)*csgn(I*(x+exp(x)-1/32)^2)*csgn(I*x^2*(x+exp(x)-1/32)^2)*csgn(I*x^2)*x^4-2*I*Pi*ln(x+exp(x)-1/32)*csgn(I*(x+exp(x)-1/32)^2)*csgn(I*x^2*(x+exp(x)-1/32)^2)*csgn(I*x^2)*x^4-I*Pi*x^5*csgn(I*x^2*(x+exp(x)-1/32)^2)^3-I*Pi*x^5*csgn(I*x^2)^3-I*Pi*x^2*csgn(I*(x+exp(x)-1/32)^2)^3-I*Pi*x^2*csgn(I*x^2*(x+exp(x)-1/32)^2)^3+4*I*Pi*ln(x)*csgn(I*(x+exp(x)-1/32))*csgn(I*(x+exp(x)-1/32)^2)^2*x^4+2*I*Pi*ln(x)*csgn(I*(x+exp(x)-1/32)^2)*csgn(I*x^2*(x+exp(x)-1/32)^2)^2*x^4+2*I*Pi*ln(x)*csgn(I*x^2*(x+exp(x)-1/32)^2)^2*csgn(I*x^2)*x^4-2*I*Pi*ln(x)*csgn(I*x)^2*csgn(I*x^2)*x^4+4*I*Pi*ln(x)*csgn(I*x)*csgn(I*x^2)^2*x^4+2*I*Pi*ln(x+exp(x)-1/32)*csgn(I*(x+exp(x)-1/32)^2)*csgn(I*x^2*(x+exp(x)-1/32)^2)^2*x^4+2*I*Pi*ln(x+exp(x)-1/32)*csgn(I*x^2*(x+exp(x)-1/32)^2)^2*csgn(I*x^2)*x^4-2*I*Pi*ln(x+exp(x)-1/32)*csgn(I*x)^2*csgn(I*x^2)*x^4+4*I*Pi*ln(x+exp(x)-1/32)*csgn(I*x)*csgn(I*x^2)^2*x^4-2*I*Pi*ln(x+exp(x)-1/32)*csgn(I*(x+exp(x)-1/32))^2*csgn(I*(x+exp(x)-1/32)^2)*x^4+4*I*Pi*ln(x+exp(x)-1/32)*csgn(I*(x+exp(x)-1/32))*csgn(I*(x+exp(x)-1/32)^2)^2*x^4-I*Pi*x^2*csgn(I*(x+exp(x)-1/32)^2)*csgn(I*x^2*(x+exp(x)-1/32)^2)*csgn(I*x^2)-I*Pi*x^5*csgn(I*(x+exp(x)-1/32)^2)*csgn(I*x^2*(x+exp(x)-1/32)^2)*csgn(I*x^2)+I*Pi*x^2*csgn(I*x^2*(x+exp(x)-1/32)^2)^2*csgn(I*x^2)-2*I*Pi*ln(x)*csgn(I*(x+exp(x)-1/32)^2)^3*x^4-2*I*Pi*ln(x)*csgn(I*x^2*(x+exp(x)-1/32)^2)^3*x^4-2*I*Pi*ln(x)*csgn(I*x^2)^3*x^4-I*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-I*Pi*x^5*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*x^5*csgn(I*x)*csgn(I*x^2)^2-I*Pi*x^2*csgn(I*(x+exp(x)-1/32))^2*csgn(I*(x+exp(x)-1/32)^2)+2*I*Pi*x^2*csgn(I*(x+exp(x)-1/32))*csgn(I*(x+exp(x)-1/32)^2)^2-2*I*Pi*ln(x)*csgn(I*(x+exp(x)-1/32))^2*csgn(I*(x+exp(x)-1/32)^2)*x^4-I*Pi*x^5*csgn(I*(x+exp(x)-1/32))^2*csgn(I*(x+exp(x)-1/32)^2)+2*I*Pi*x^5*csgn(I*(x+exp(x)-1/32))*csgn(I*(x+exp(x)-1/32)^2)^2-2*I*Pi*ln(x+exp(x)-1/32)*csgn(I*(x+exp(x)-1/32)^2)^3*x^4-2*I*Pi*ln(x+exp(x)-1/32)*csgn(I*x^2*(x+exp(x)-1/32)^2)^3*x^4-2*I*Pi*ln(x+exp(x)-1/32)*csgn(I*x^2)^3*x^4+I*Pi*x^2*csgn(I*(x+exp(x)-1/32)^2)*csgn(I*x^2*(x+exp(x)-1/32)^2)^2+I*Pi*x^5*csgn(I*(x+exp(x)-1/32)^2)*csgn(I*x^2*(x+exp(x)-1/32)^2)^2+I*Pi*x^5*csgn(I*x^2*(x+exp(x)-1/32)^2)^2*csgn(I*x^2))/x^4","C"
5972,1,19,24,0.039000," ","int(1/8*((x^2+exp(5))*ln(5)-8*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x \ln \left(5\right)}{8}-x -\frac{{\mathrm e}^{5} \ln \left(5\right)}{8 x}$&$19$\\ risch&$\frac{x \ln \left(5\right)}{8}-x -\frac{{\mathrm e}^{5} \ln \left(5\right)}{8 x}$&$19$\\ norman&$\frac{\left(-1+\frac{\ln \left(5\right)}{8}\right) x^{2}-\frac{{\mathrm e}^{5} \ln \left(5\right)}{8}}{x}$&$22$\\ gosper&$-\frac{-x^{2} \ln \left(5\right)+{\mathrm e}^{5} \ln \left(5\right)+8 x^{2}}{8 x}$&$24$\\ \hline \end{longtable}"," ",0,"1/8*x*ln(5)-x-1/8*exp(5)*ln(5)/x","A"
5973,1,66,26,0.119000," ","int(1/3*((-8*x^2+4*x)*ln(x^2)-12)/x/exp(2/3*x^2-2/3*x+1/3)^2/ln(x^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \,{\mathrm e}^{-\frac{4}{3} x^{2}+\frac{4}{3} x -\frac{2}{3}}}{\left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)^{2}}$&$66$\\ \hline \end{longtable}"," ",0,"-4/(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)^2*exp(-4/3*x^2+4/3*x-2/3)","C"
5974,1,5,14,0.009000," ","int(ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(5\right)$&$5$\\ norman&$x \ln \left(5\right)$&$5$\\ risch&$x \ln \left(5\right)$&$5$\\ \hline \end{longtable}"," ",0,"x*ln(5)","A"
5975,1,9,10,0.020000," ","int(3*exp(4)*exp(exp(5)+6561),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x \,{\mathrm e}^{6565+{\mathrm e}^{5}}$&$9$\\ default&$3 \,{\mathrm e}^{{\mathrm e}^{5}+6561} {\mathrm e}^{4} x$&$11$\\ norman&$3 \,{\mathrm e}^{4} {\mathrm e}^{{\mathrm e}^{5}} {\mathrm e}^{6561} x$&$11$\\ \hline \end{longtable}"," ",0,"3*x*exp(6565+exp(5))","A"
5976,1,43,26,0.143000," ","int((5*x^3*exp(x+9)*ln(x)+(-5*x^3*exp(1)-4*x^4-4*x^3+5*x^2+x-2)*exp(x+9)-2*x^4)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \,{\mathrm e}^{x +9} \ln \left(x \right)-\frac{5 x^{2} {\mathrm e}^{x +10}+x^{4}+4 \,{\mathrm e}^{x +9} x^{3}-{\mathrm e}^{x +9}}{x^{2}}$&$43$\\ norman&$\frac{-x^{4}-4 \,{\mathrm e}^{x +9} x^{3}-5 x^{2} {\mathrm e} \,{\mathrm e}^{x +9}+5 x^{2} {\mathrm e}^{x +9} \ln \left(x \right)+{\mathrm e}^{x +9}}{x^{2}}$&$46$\\ default&$\frac{-4 \,{\mathrm e}^{x +9} x^{3}-5 x^{2} {\mathrm e} \,{\mathrm e}^{x +9}+5 x^{2} {\mathrm e}^{x +9} \ln \left(x \right)+{\mathrm e}^{x +9}}{x^{2}}-x^{2}$&$47$\\ \hline \end{longtable}"," ",0,"5*exp(x+9)*ln(x)-(5*x^2*exp(x+10)+x^4+4*exp(x+9)*x^3-exp(x+9))/x^2","A"
5977,1,11,16,0.291000," ","int((32*x-40)/(2*x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$8 \ln \left(x \left(2 x -5\right)\right)$&$11$\\ risch&$8 \ln \left(2 x^{2}-5 x \right)$&$13$\\ norman&$8 \ln \left(x \right)+8 \ln \left(2 x -5\right)$&$14$\\ meijerg&$8 \ln \left(-\frac{2 x}{5}+1\right)+8 \ln \left(x \right)+8 \ln \left(2\right)-8 \ln \left(5\right)+8 i \pi$&$26$\\ \hline \end{longtable}"," ",0,"8*ln(x*(2*x-5))","A"
5978,1,24,21,0.098000," ","int(1/10*((-2*x^3+2*x^2)*exp(2-x)-10*ln(221/25)+5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{x^{2} {\mathrm e}^{2-x}}{5}+\ln \left(221\right)-2 \ln \left(5\right)-\frac{1}{2}}{x}$&$24$\\ risch&$-\frac{2 \ln \left(5\right)}{x}+\frac{\ln \left(13\right)}{x}+\frac{\ln \left(17\right)}{x}-\frac{1}{2 x}+\frac{x \,{\mathrm e}^{2-x}}{5}$&$35$\\ derivativedivides&$-\frac{1}{2 x}-\frac{2 \ln \left(5\right)}{x}+\frac{\ln \left(221\right)}{x}+\frac{2 \,{\mathrm e}^{2-x}}{5}-\frac{{\mathrm e}^{2-x} \left(2-x \right)}{5}$&$41$\\ default&$-\frac{1}{2 x}-\frac{2 \ln \left(5\right)}{x}+\frac{\ln \left(221\right)}{x}+\frac{2 \,{\mathrm e}^{2-x}}{5}-\frac{{\mathrm e}^{2-x} \left(2-x \right)}{5}$&$41$\\ \hline \end{longtable}"," ",0,"(1/5*x^2*exp(2-x)+ln(221)-2*ln(5)-1/2)/x","A"
5979,1,16,15,0.127000," ","int(1/2*(4*exp(x^2)*x-1)*exp(exp(x^2)-exp(4)-1/2*x+7)*exp(exp(exp(x^2)-exp(4)-1/2*x+7)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}}-{\mathrm e}^{4}-\frac{x}{2}+7}}$&$16$\\ risch&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}}-{\mathrm e}^{4}-\frac{x}{2}+7}}$&$16$\\ \hline \end{longtable}"," ",0,"exp(exp(exp(x^2)-exp(4)-1/2*x+7))","A"
5980,1,34,28,0.251000," ","int(((9*x^2-12*x+4)*exp(3)^2-90*x^3+111*x^2-28*x+44)*exp(4)/((9*x^4-12*x^3+4*x^2)*exp(3)^4+(-90*x^5+102*x^4-160*x^3+88*x^2)*exp(3)^2+225*x^6-210*x^5+709*x^4-308*x^3+484*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{4} \left(\frac{2}{3}-x \right)}{\left(3 x \,{\mathrm e}^{6}-2 \,{\mathrm e}^{6}-15 x^{2}+7 x -22\right) x}$&$34$\\ gosper&$-\frac{\left(3 x -2\right) {\mathrm e}^{4}}{x \left(3 x \,{\mathrm e}^{6}-2 \,{\mathrm e}^{6}-15 x^{2}+7 x -22\right)}$&$38$\\ norman&$\frac{-3 x \,{\mathrm e}^{4}+2 \,{\mathrm e}^{4}}{x \left(3 x \,{\mathrm e}^{6}-2 \,{\mathrm e}^{6}-15 x^{2}+7 x -22\right)}$&$40$\\ default&${\mathrm e}^{4} \left(-\frac{\munderset{\textit{\_R} =\RootOf \left(225 \textit{\_Z}^{4}+\left(-90 \,{\mathrm e}^{6}-210\right) \textit{\_Z}^{3}+\left(102 \,{\mathrm e}^{6}+9 \,{\mathrm e}^{12}+709\right) \textit{\_Z}^{2}+\left(-160 \,{\mathrm e}^{6}-12 \,{\mathrm e}^{12}-308\right) \textit{\_Z} +88 \,{\mathrm e}^{6}+4 \,{\mathrm e}^{12}+484\right)}{\sum}\frac{\left(681472+225 \left(-1331-363 \,{\mathrm e}^{6}-33 \,{\mathrm e}^{12}-{\mathrm e}^{18}\right) \textit{\_R}^{2}+780 \left(-1331-363 \,{\mathrm e}^{6}-33 \,{\mathrm e}^{12}-{\mathrm e}^{18}\right) \textit{\_R} +329604 \,{\mathrm e}^{6}+56100 \,{\mathrm e}^{12}+4076 \,{\mathrm e}^{18}+108 \,{\mathrm e}^{24}\right) \ln \left(x -\textit{\_R} \right)}{154+135 \textit{\_R}^{2} {\mathrm e}^{6}-450 \textit{\_R}^{3}-102 \textit{\_R} \,{\mathrm e}^{6}-9 \textit{\_R} \,{\mathrm e}^{12}+315 \textit{\_R}^{2}+80 \,{\mathrm e}^{6}+6 \,{\mathrm e}^{12}-709 \textit{\_R}}}{2 \left(22 \,{\mathrm e}^{6}+{\mathrm e}^{12}+121\right)^{2}}-\frac{1331+363 \,{\mathrm e}^{6}+33 \,{\mathrm e}^{12}+{\mathrm e}^{18}}{\left(22 \,{\mathrm e}^{6}+{\mathrm e}^{12}+121\right)^{2} x}\right)$&$202$\\ \hline \end{longtable}"," ",0,"3*exp(4)*(2/3-x)/(3*x*exp(6)-2*exp(6)-15*x^2+7*x-22)/x","A"
5981,1,28,27,0.371000," ","int(((-2*exp(x)-2*exp(4)+10)*ln(4*exp(ln(-exp(x)+5-exp(4))-5)^2)+4*exp(x)*x)/(exp(x)*x+x*exp(4)-5*x)/ln(4*exp(ln(-exp(x)+5-exp(4))-5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(x \right)+2 \ln \left(\ln \left(4 \left(-{\mathrm e}^{x}+5-{\mathrm e}^{4}\right)^{2} {\mathrm e}^{-10}\right)\right)$&$28$\\ norman&$-2 \ln \left(x \right)+2 \ln \left(\ln \left(4 \left(-{\mathrm e}^{x}+5-{\mathrm e}^{4}\right)^{2} {\mathrm e}^{-10}\right)\right)$&$28$\\ risch&$-2 \ln \left(x \right)+2 \ln \left(\ln \left({\mathrm e}^{x}+{\mathrm e}^{4}-5\right)-\frac{i \left(\pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}+{\mathrm e}^{4}-5\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+{\mathrm e}^{4}-5\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+{\mathrm e}^{4}-5\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+{\mathrm e}^{4}-5\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}+{\mathrm e}^{4}-5\right)^{2}\right)^{3}+4 i \ln \left(2\right)-20 i\right)}{4}\right)$&$97$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+2*ln(ln(4*exp(ln(-exp(x)+5-exp(4))-5)^2))","A"
5982,1,69,27,0.088000," ","int((4*x*exp(x)^8+32*x^2*exp(x)^7+(112*x^3-16*x^2)*exp(x)^6+(224*x^4-96*x^3+15*x^2-10*x)*exp(x)^5+(280*x^5-240*x^4+72*x^3-20*x^2)*exp(x)^4+(224*x^6-320*x^5+158*x^4-10*x^3+10*x^2)*exp(x)^3+(112*x^7-240*x^6+192*x^5-12*x^4)*exp(x)^2+(32*x^8-96*x^7+123*x^6-44*x^5-20*x^4)*exp(x)+4*x^9-16*x^8+32*x^7-32*x^6+16*x^5)/(2*exp(x)^8+16*x*exp(x)^7+(56*x^2-8*x)*exp(x)^6+(112*x^3-48*x^2)*exp(x)^5+(140*x^4-120*x^3+16*x^2)*exp(x)^4+(112*x^5-160*x^4+64*x^3)*exp(x)^3+(56*x^6-120*x^5+96*x^4-16*x^3)*exp(x)^2+(16*x^7-48*x^6+64*x^5-32*x^4)*exp(x)+2*x^8-8*x^7+16*x^6-16*x^5+8*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{5 x^{2} {\mathrm e}^{x}}{2 \left({\mathrm e}^{4 x}+4 x \,{\mathrm e}^{3 x}+6 \,{\mathrm e}^{2 x} x^{2}+4 \,{\mathrm e}^{x} x^{3}+x^{4}-2 x \,{\mathrm e}^{2 x}-4 \,{\mathrm e}^{x} x^{2}-2 x^{3}+2 x^{2}\right)}$&$69$\\ \hline \end{longtable}"," ",0,"x^2-5/2*x^2*exp(x)/(exp(4*x)+4*x*exp(3*x)+6*exp(2*x)*x^2+4*exp(x)*x^3+x^4-2*x*exp(2*x)-4*exp(x)*x^2-2*x^3+2*x^2)","B"
5983,1,20,19,0.093000," ","int((-2*x^2+x-2)*exp(4)/(x*ln(2*x^2)^2+(2*x^3-2*x^2+10*x)*ln(2*x^2)+x^5-2*x^4+11*x^3-10*x^2+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{4}}{x^{2}-x +5+\ln \left(2 x^{2}\right)}$&$20$\\ risch&$\frac{{\mathrm e}^{4}}{x^{2}-x +5+\ln \left(2 x^{2}\right)}$&$20$\\ \hline \end{longtable}"," ",0,"exp(4)/(x^2-x+5+ln(2*x^2))","A"
5984,1,31,22,0.128000," ","int((-x*exp(2)^2*ln(x/(2*x+4))-2*exp(2)^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{4} \ln \left(\frac{x}{2 x +4}\right)-2 \,{\mathrm e}^{4} \ln \left(x \right)+2 \,{\mathrm e}^{4} \ln \left(2+x \right)$&$31$\\ norman&$-2 \,{\mathrm e}^{4} \ln \left(\frac{x}{2 x +4}\right)-x \,{\mathrm e}^{4} \ln \left(\frac{x}{2 x +4}\right)$&$35$\\ derivativedivides&$-2 \,{\mathrm e}^{4} \ln \left(\frac{1}{2}-\frac{1}{2+x}\right) \left(\frac{1}{2}-\frac{1}{2+x}\right) \left(2+x \right)-2 \,{\mathrm e}^{4} \ln \left(\frac{1}{2}-\frac{1}{2+x}\right)$&$46$\\ default&$-2 \,{\mathrm e}^{4} \ln \left(\frac{1}{2}-\frac{1}{2+x}\right) \left(\frac{1}{2}-\frac{1}{2+x}\right) \left(2+x \right)-2 \,{\mathrm e}^{4} \ln \left(\frac{1}{2}-\frac{1}{2+x}\right)$&$46$\\ \hline \end{longtable}"," ",0,"-x*exp(4)*ln(x/(2*x+4))-2*exp(4)*ln(x)+2*exp(4)*ln(2+x)","A"
5985,1,25,25,0.059000," ","int(1/3*((4*x^3+20*x^2+12*x)*exp(x)+4)*exp((x^2+3*x)*exp(x))+1/3*(-4*x^3-12*x^2)*exp(x)+6*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{3}+\frac{4 x \,{\mathrm e}^{{\mathrm e}^{x} \left(3+x \right) x}}{3}-\frac{4 \,{\mathrm e}^{x} x^{3}}{3}$&$25$\\ default&$2 x^{3}+\frac{4 x \,{\mathrm e}^{\left(x^{2}+3 x \right) {\mathrm e}^{x}}}{3}-\frac{4 \,{\mathrm e}^{x} x^{3}}{3}$&$28$\\ norman&$2 x^{3}+\frac{4 x \,{\mathrm e}^{\left(x^{2}+3 x \right) {\mathrm e}^{x}}}{3}-\frac{4 \,{\mathrm e}^{x} x^{3}}{3}$&$28$\\ \hline \end{longtable}"," ",0,"2*x^3+4/3*x*exp(exp(x)*(3+x)*x)-4/3*exp(x)*x^3","A"
5986,1,19,19,0.038000," ","int(4/5*exp(x^2)*x+2*x*ln(3)^2+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +x^{2} \ln \left(3\right)^{2}+\frac{2 \,{\mathrm e}^{x^{2}}}{5}$&$19$\\ norman&$2 x +x^{2} \ln \left(3\right)^{2}+\frac{2 \,{\mathrm e}^{x^{2}}}{5}$&$19$\\ risch&$2 x +x^{2} \ln \left(3\right)^{2}+\frac{2 \,{\mathrm e}^{x^{2}}}{5}$&$19$\\ \hline \end{longtable}"," ",0,"2*x+x^2*ln(3)^2+2/5*exp(x^2)","A"
5987,1,30,24,0.089000," ","int(1/18*(2*(-50*x+25)*ln(2)-50*x*exp(5)+100*x^2)*exp(1/2*(2*(1-x)*ln(2)-x*exp(5)+x^2)/ln(2))^2/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 x \,{\mathrm e}^{-\frac{x \,{\mathrm e}^{5}+2 x \ln \left(2\right)-x^{2}-2 \ln \left(2\right)}{\ln \left(2\right)}}}{9}$&$30$\\ norman&$\frac{25 x \,{\mathrm e}^{\frac{2 \left(1-x \right) \ln \left(2\right)-x \,{\mathrm e}^{5}+x^{2}}{\ln \left(2\right)}}}{9}$&$31$\\ gosper&$\frac{25 \,{\mathrm e}^{-\frac{x \ln \left(4\right)-2 \ln \left(2\right)+x \,{\mathrm e}^{5}-x^{2}}{\ln \left(2\right)}} x}{9}$&$32$\\ default&$\frac{25 \ln \left(2\right) x \,{\mathrm e}^{2+\frac{x^{2}}{\ln \left(2\right)}+\left(-2-\frac{{\mathrm e}^{5}}{\ln \left(2\right)}\right) x}-\frac{25 i \ln \left(2\right)^{\frac{3}{2}} \sqrt{\pi}\, {\mathrm e}^{2-\frac{\left(-2-\frac{{\mathrm e}^{5}}{\ln \left(2\right)}\right)^{2} \ln \left(2\right)}{4}} \erf \left(\frac{i x}{\sqrt{\ln \left(2\right)}}+\frac{i \left(-2-\frac{{\mathrm e}^{5}}{\ln \left(2\right)}\right) \sqrt{\ln \left(2\right)}}{2}\right) {\mathrm e}^{5}}{2}+\frac{25 \ln \left(2\right) {\mathrm e}^{5} {\mathrm e}^{2+\frac{x^{2}}{\ln \left(2\right)}+\left(-2-\frac{{\mathrm e}^{5}}{\ln \left(2\right)}\right) x}}{2}-\frac{25 i {\mathrm e}^{10} \sqrt{\ln \left(2\right)}\, \sqrt{\pi}\, {\mathrm e}^{2-\frac{\left(-2-\frac{{\mathrm e}^{5}}{\ln \left(2\right)}\right)^{2} \ln \left(2\right)}{4}} \erf \left(\frac{i x}{\sqrt{\ln \left(2\right)}}+\frac{i \left(-2-\frac{{\mathrm e}^{5}}{\ln \left(2\right)}\right) \sqrt{\ln \left(2\right)}}{2}\right)}{4}-\frac{25 \ln \left(2\right) {\mathrm e}^{7+\frac{x^{2}}{\ln \left(2\right)}+\left(-2-\frac{{\mathrm e}^{5}}{\ln \left(2\right)}\right) x}}{2}+\frac{25 i \ln \left(2\right)^{\frac{3}{2}} \sqrt{\pi}\, {\mathrm e}^{7-\frac{\left(-2-\frac{{\mathrm e}^{5}}{\ln \left(2\right)}\right)^{2} \ln \left(2\right)}{4}} \erf \left(\frac{i x}{\sqrt{\ln \left(2\right)}}+\frac{i \left(-2-\frac{{\mathrm e}^{5}}{\ln \left(2\right)}\right) \sqrt{\ln \left(2\right)}}{2}\right)}{2}+\frac{25 i \sqrt{\ln \left(2\right)}\, \sqrt{\pi}\, {\mathrm e}^{7-\frac{\left(-2-\frac{{\mathrm e}^{5}}{\ln \left(2\right)}\right)^{2} \ln \left(2\right)}{4}} \erf \left(\frac{i x}{\sqrt{\ln \left(2\right)}}+\frac{i \left(-2-\frac{{\mathrm e}^{5}}{\ln \left(2\right)}\right) \sqrt{\ln \left(2\right)}}{2}\right) {\mathrm e}^{5}}{4}}{9 \ln \left(2\right)}$&$324$\\ \hline \end{longtable}"," ",0,"25/9*x*exp(-(x*exp(5)+2*x*ln(2)-x^2-2*ln(2))/ln(2))","A"
5988,1,15,13,0.033000," ","int(2/5*x*exp(1)-3/5*x^2-8/25*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{2} \left(-5 x +5 \,{\mathrm e}-4\right)}{25}$&$15$\\ norman&$\left(\frac{{\mathrm e}}{5}-\frac{4}{25}\right) x^{2}-\frac{x^{3}}{5}$&$17$\\ default&$\frac{x^{2} {\mathrm e}}{5}-\frac{x^{3}}{5}-\frac{4 x^{2}}{25}$&$19$\\ risch&$\frac{x^{2} {\mathrm e}}{5}-\frac{x^{3}}{5}-\frac{4 x^{2}}{25}$&$19$\\ \hline \end{longtable}"," ",0,"1/25*x^2*(-5*x+5*exp(1)-4)","A"
5989,1,6,21,0.032000," ","int(exp(x)/(-7+exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(-7+{\mathrm e}^{x}\right)$&$6$\\ default&$\ln \left(-7+{\mathrm e}^{x}\right)$&$6$\\ norman&$\ln \left(-7+{\mathrm e}^{x}\right)$&$6$\\ risch&$\ln \left(-7+{\mathrm e}^{x}\right)$&$6$\\ \hline \end{longtable}"," ",0,"ln(-7+exp(x))","A"
5990,1,172,27,0.855000," ","int(((-4*x^3-22*x^2+36*x+186)*ln((3-x)*exp(x)/(3+x))-4*x^5-62*x^4-292*x^3-48*x^2+2832*x+5022)/(x^2-9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{4}-20 x^{3}-153 x^{2}-594 x +60 \ln \left(3+x \right)-48 \ln \left(x -3\right)-2 \ln \left(\frac{\left(3-x \right) {\mathrm e}^{x}}{3+x}\right) x^{2}-2 \ln \left(x -3\right) \ln \left(\frac{\left(3-x \right) {\mathrm e}^{x}}{3+x}\right)+2 \ln \left(\frac{\left(3-x \right) {\mathrm e}^{x}}{3+x}\right) \ln \left(3+x \right)-22 \ln \left(\frac{\left(3-x \right) {\mathrm e}^{x}}{3+x}\right) x +2 \left(x -3\right) \ln \left(x -3\right)+12-2 \ln \left(x -3\right) \ln \left(\frac{x}{6}+\frac{1}{2}\right)+\ln \left(x -3\right)^{2}-2 \left(3+x \right) \ln \left(3+x \right)-2 \left(\ln \left(3+x \right)-\ln \left(\frac{x}{6}+\frac{1}{2}\right)\right) \ln \left(\frac{1}{2}-\frac{x}{6}\right)+\ln \left(3+x \right)^{2}$&$172$\\ risch&$-594 x -54 \ln \left(x -3\right)+20 x \ln \left(3+x \right)+54 \ln \left(3+x \right)-x^{4}-20 x^{3}-153 x^{2}-20 \ln \left(x -3\right) x -2 i \pi  \,x^{2}-2 i \ln \left(x -3\right) \pi +2 i \ln \left(3+x \right) \pi -i \ln \left(x -3\right) \pi  \,\mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)^{2}-i \ln \left(x -3\right) \pi  \,\mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)^{2}+2 \ln \left(3+x \right) x^{2}-\ln \left(x -3\right)^{2}-\ln \left(3+x \right)^{2}-22 i x \pi +i \ln \left(3+x \right) \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)+i \ln \left(3+x \right) \pi  \,\mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{2}-11 i \pi  x \,\mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{2}-11 i \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-11 i \pi  x \,\mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)^{2}-11 i \pi  x \,\mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)^{2}+2 i \ln \left(x -3\right) \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{2}+22 i \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{2}-2 i \ln \left(3+x \right) \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{2}+2 \ln \left(3+x \right) \ln \left(x -3\right)-2 x^{2} \ln \left(x -3\right)+\left(-2 x^{2}-22 x +2 \ln \left(3+x \right)-2 \ln \left(x -3\right)\right) \ln \left({\mathrm e}^{x}\right)+11 i \pi  x \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)^{3}-i \ln \left(3+x \right) \pi  \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)^{3}+i \ln \left(x -3\right) \pi  \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)^{3}+i \ln \left(x -3\right) \pi  \,\mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)+i \ln \left(x -3\right) \pi  \,\mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)+11 i \pi  x \,\mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)+11 i \pi  x \,\mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{3}-i \ln \left(x -3\right) \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{3}+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)^{3}+i \ln \left(3+x \right) \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{3}-i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{2}-i \ln \left(x -3\right) \pi  \,\mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)^{2}-i \ln \left(x -3\right) \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)+i \ln \left(3+x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)^{2}+i \ln \left(3+x \right) \pi  \,\mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)^{2}-i \ln \left(3+x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)-i \ln \left(3+x \right) \pi  \,\mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{3+x}\right) \mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -3\right)}{3+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-11 i \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{3}+2 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \left(x -3\right)}{3+x}\right)^{2}$&$1195$\\ \hline \end{longtable}"," ",0,"-x^4-20*x^3-153*x^2-594*x+60*ln(3+x)-48*ln(x-3)-2*ln((3-x)*exp(x)/(3+x))*x^2-2*ln(x-3)*ln((3-x)*exp(x)/(3+x))+2*ln((3-x)*exp(x)/(3+x))*ln(3+x)-22*ln((3-x)*exp(x)/(3+x))*x+2*(x-3)*ln(x-3)+12-2*ln(x-3)*ln(1/6*x+1/2)+ln(x-3)^2-2*(3+x)*ln(3+x)-2*(ln(3+x)-ln(1/6*x+1/2))*ln(1/2-1/6*x)+ln(3+x)^2","B"
5991,1,22,19,0.028000," ","int((2*x*ln(x)*ln(ln(x))+(-6*x^5-3*x^2+2*x)*ln(x)+x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{6}-x^{3}+x^{2} \ln \left(\ln \left(x \right)\right)+x^{2}$&$22$\\ \hline \end{longtable}"," ",0,"-x^6-x^3+x^2*ln(ln(x))+x^2","A"
5992,1,49,23,0.210000," ","int(((6*exp(x)*x-6*x^2)*ln((exp(x)^2-2*exp(x)*x+x^2)/x^2)^2+(-5*exp(x)+5*x)*ln((exp(x)^2-2*exp(x)*x+x^2)/x^2)+(10*x-10)*exp(x))/(exp(x)-x)/ln((exp(x)^2-2*exp(x)*x+x^2)/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-5 x +3 x^{2} \ln \left(\frac{{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} x +x^{2}}{x^{2}}\right)}{\ln \left(\frac{{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} x +x^{2}}{x^{2}}\right)}$&$49$\\ risch&$3 x^{2}-\frac{10 i x}{\pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x \right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x \right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-x \right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x \right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}-x \right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}-x \right)^{2}}{x^{2}}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}-x \right)^{2}}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right)+\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}-x \right)^{2}}{x^{2}}\right)^{3}-\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}-x \right)^{2}}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-4 i \ln \left(x \right)+4 i \ln \left(x -{\mathrm e}^{x}\right)}$&$258$\\ \hline \end{longtable}"," ",0,"(-5*x+3*x^2*ln((exp(x)^2-2*exp(x)*x+x^2)/x^2))/ln((exp(x)^2-2*exp(x)*x+x^2)/x^2)","B"
5993,1,29,20,0.038000," ","int(1/3*((9*x^3-6*x^2-5*x)*ln(x)-3*exp(5)+3*x^3-3*x^2-5*x-3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{3} \ln \left(x \right)+\left(-{\mathrm e}^{5}-1\right) \ln \left(x \right)-\frac{5 x \ln \left(x \right)}{3}-x^{2} \ln \left(x \right)$&$29$\\ default&$x^{3} \ln \left(x \right)-x^{2} \ln \left(x \right)-\frac{5 x \ln \left(x \right)}{3}-{\mathrm e}^{5} \ln \left(x \right)-\ln \left(x \right)$&$30$\\ risch&$\frac{\left(3 x^{3}-3 x^{2}-5 x \right) \ln \left(x \right)}{3}-{\mathrm e}^{5} \ln \left(x \right)-\ln \left(x \right)$&$30$\\ \hline \end{longtable}"," ",0,"x^3*ln(x)+(-exp(5)-1)*ln(x)-5/3*x*ln(x)-x^2*ln(x)","A"
5994,1,296,19,0.431000," ","int((((2*x*exp(1)-6*x+8)*ln(x)+8*x*exp(1)-24*x+32)*ln((x*exp(1)+4-3*x)/x)+8*ln(x)+40)/(x^3*exp(1)-3*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(5+\ln \left(x \right)\right) \ln \left(x \,{\mathrm e}+4-3 x \right)}{x}+\frac{-i \pi  \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}+4-3 x \right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}+4-3 x \right)}{x}\right)^{2} \ln \left(x \right)+i \pi  \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}+4-3 x \right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}+4-3 x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \ln \left(x \right)+i \pi  \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}+4-3 x \right)}{x}\right)^{3} \ln \left(x \right)-i \pi  \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}+4-3 x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \ln \left(x \right)-5 i \pi  \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}+4-3 x \right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}+4-3 x \right)}{x}\right)^{2}+5 i \pi  \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}+4-3 x \right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}+4-3 x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)+5 i \pi  \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}+4-3 x \right)}{x}\right)^{3}-5 i \pi  \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}+4-3 x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+2 \ln \left(x \right)^{2}+10 \ln \left(x \right)}{x}$&$296$\\ \hline \end{longtable}"," ",0,"-2*(5+ln(x))/x*ln(x*exp(1)+4-3*x)+(-I*Pi*csgn(I*(x*exp(1)+4-3*x))*csgn(I/x*(x*exp(1)+4-3*x))^2*ln(x)+I*Pi*csgn(I*(x*exp(1)+4-3*x))*csgn(I/x*(x*exp(1)+4-3*x))*csgn(I/x)*ln(x)+I*Pi*csgn(I/x*(x*exp(1)+4-3*x))^3*ln(x)-I*Pi*csgn(I/x*(x*exp(1)+4-3*x))^2*csgn(I/x)*ln(x)-5*I*Pi*csgn(I*(x*exp(1)+4-3*x))*csgn(I/x*(x*exp(1)+4-3*x))^2+5*I*Pi*csgn(I*(x*exp(1)+4-3*x))*csgn(I/x*(x*exp(1)+4-3*x))*csgn(I/x)+5*I*Pi*csgn(I/x*(x*exp(1)+4-3*x))^3-5*I*Pi*csgn(I/x*(x*exp(1)+4-3*x))^2*csgn(I/x)+2*ln(x)^2+10*ln(x))/x","C"
5995,1,19,13,0.337000," ","int(((-128*x-128)*exp(x)-128)/(192*x^3*exp(x)^3+(576*x^2*ln(3)+576*x^3+432*x^2)*exp(x)^2+(576*x*ln(3)^2+(1152*x^2+864*x)*ln(3)+576*x^3+864*x^2+324*x)*exp(x)+192*ln(3)^3+(576*x+432)*ln(3)^2+(576*x^2+864*x+324)*ln(3)+192*x^3+432*x^2+324*x+81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16}{3 \left(4 \,{\mathrm e}^{x} x +4 \ln \left(3\right)+4 x +3\right)^{2}}$&$19$\\ risch&$\frac{16}{3 \left(4 \,{\mathrm e}^{x} x +4 \ln \left(3\right)+4 x +3\right)^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"16/3/(4*exp(x)*x+4*ln(3)+4*x+3)^2","A"
5996,0,0,18,0.037000," ","int((-ln(3/x)-3)*(x*ln(3/x)+4*x)^(1/4)/((4*x*ln(3/x)+16*x)*(x*ln(3/x)+4*x)^(1/2)+(448*x*ln(3/x)+1792*x)*(x*ln(3/x)+4*x)^(1/4)+12544*x*ln(3/x)+50176*x),x)","\[\int \frac{\left(-\ln \left(\frac{3}{x}\right)-3\right) \left(x \ln \left(\frac{3}{x}\right)+4 x \right)^{\frac{1}{4}}}{\left(4 x \ln \left(\frac{3}{x}\right)+16 x \right) \sqrt{x \ln \left(\frac{3}{x}\right)+4 x}+\left(448 x \ln \left(\frac{3}{x}\right)+1792 x \right) \left(x \ln \left(\frac{3}{x}\right)+4 x \right)^{\frac{1}{4}}+12544 x \ln \left(\frac{3}{x}\right)+50176 x}\, dx\]"," ",0,"int((-ln(3/x)-3)*(x*ln(3/x)+4*x)^(1/4)/((4*x*ln(3/x)+16*x)*(x*ln(3/x)+4*x)^(1/2)+(448*x*ln(3/x)+1792*x)*(x*ln(3/x)+4*x)^(1/4)+12544*x*ln(3/x)+50176*x),x)","F"
5997,1,14,23,0.043000," ","int(1/4*(2*(2*x^2-1)*ln(2)+4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +x \ln \left(2\right)+\frac{\ln \left(2\right)}{2 x}$&$14$\\ risch&$x +x \ln \left(2\right)+\frac{\ln \left(2\right)}{2 x}$&$14$\\ norman&$\frac{\left(1+\ln \left(2\right)\right) x^{2}+\frac{\ln \left(2\right)}{2}}{x}$&$18$\\ gosper&$\frac{2 x^{2} \ln \left(2\right)+2 x^{2}+\ln \left(2\right)}{2 x}$&$21$\\ \hline \end{longtable}"," ",0,"x+x*ln(2)+1/2*ln(2)/x","A"
5998,1,157,20,0.297000," ","int((x*ln(-x^2)^2*ln(x)^2+(-2*x^2*ln(-x^2)^2-10)*ln(x)+x^3*ln(-x^2)^2+(5*x-5)*ln(-x^2)+10*x)/(x*ln(-x^2)^2*ln(x)^2-2*x^2*ln(-x^2)^2*ln(x)+x^3*ln(-x^2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{10 i}{-\pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}+2 x \pi  \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{2}-\ln \left(x \right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-4 i \ln \left(x \right)^{2}+4 i x \ln \left(x \right)-2 \pi  x +2 \pi  \ln \left(x \right)}$&$157$\\ \hline \end{longtable}"," ",0,"x-10*I/(-Pi*x*csgn(I*x^2)^3+2*x*Pi*csgn(I*x^2)^2+Pi*x*csgn(I*x)^2*csgn(I*x^2)-2*Pi*x*csgn(I*x)*csgn(I*x^2)^2+ln(x)*Pi*csgn(I*x^2)^3-2*ln(x)*Pi*csgn(I*x^2)^2-ln(x)*Pi*csgn(I*x)^2*csgn(I*x^2)+2*ln(x)*Pi*csgn(I*x)*csgn(I*x^2)^2-4*I*ln(x)^2+4*I*x*ln(x)-2*Pi*x+2*Pi*ln(x))","C"
5999,1,43,37,0.053000," ","int(((-2*exp(3-x)^2+8*x*ln(2))*exp(2*ln(2)/exp(3-x)^2)^2+(x^3+x-10)*ln(2)^2*exp(3-x)^2)/x^3/ln(2)^2/exp(3-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{-x \ln \left(2\right)^{2}+5 \ln \left(2\right)^{2}}{\ln \left(2\right)^{2} x^{2}}+\frac{4^{2 \,{\mathrm e}^{2 x -6}}}{\ln \left(2\right)^{2} x^{2}}$&$43$\\ \hline \end{longtable}"," ",0,"x+1/ln(2)^2*(-x*ln(2)^2+5*ln(2)^2)/x^2+1/ln(2)^2/x^2*(4^exp(2*x-6))^2","A"
6000,1,34,22,0.320000," ","int(((4*x*ln(5/(exp(1)+4))+5)*ln((4*x*ln(5/(exp(1)+4))+5)/x/ln(5/(exp(1)+4)))-5)/(8*x*ln(5/(exp(1)+4))+10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \ln \left(\frac{4 x \ln \left(\frac{5}{{\mathrm e}+4}\right)+5}{x \ln \left(\frac{5}{{\mathrm e}+4}\right)}\right)}{2}$&$34$\\ risch&$\frac{x \ln \left(\frac{4 x \left(\ln \left(5\right)-\ln \left({\mathrm e}+4\right)\right)+5}{x \left(\ln \left(5\right)-\ln \left({\mathrm e}+4\right)\right)}\right)}{2}$&$36$\\ derivativedivides&$-\frac{-\frac{\ln \left(\frac{5}{x \ln \left(\frac{5}{{\mathrm e}+4}\right)}+4\right) \left(\frac{5}{x \ln \left(\frac{5}{{\mathrm e}+4}\right)}+4\right) \ln \left(\frac{5}{{\mathrm e}+4}\right) x}{4}+\frac{5 \ln \left(\frac{5}{x \ln \left(\frac{5}{{\mathrm e}+4}\right)}+4\right)}{4}}{2 \ln \left(\frac{5}{{\mathrm e}+4}\right)}$&$85$\\ default&$-\frac{-\frac{\ln \left(\frac{5}{x \ln \left(\frac{5}{{\mathrm e}+4}\right)}+4\right) \left(\frac{5}{x \ln \left(\frac{5}{{\mathrm e}+4}\right)}+4\right) \ln \left(\frac{5}{{\mathrm e}+4}\right) x}{4}+\frac{5 \ln \left(\frac{5}{x \ln \left(\frac{5}{{\mathrm e}+4}\right)}+4\right)}{4}}{2 \ln \left(\frac{5}{{\mathrm e}+4}\right)}$&$85$\\ \hline \end{longtable}"," ",0,"1/2*x*ln((4*x*ln(5/(exp(1)+4))+5)/x/ln(5/(exp(1)+4)))","A"
6001,1,47,16,0.289000," ","int((((2*x-1250)*exp(1/3*x+5)+6*x-3744)*ln(-x+625)+(2*x-1250)*exp(1/3*x+5)^2+(2*x^2-1244*x-3744)*exp(1/3*x+5)+6*x^2-3744*x)/(3*x-1875),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-x +625\right)^{2}+\left(2 x +2 \,{\mathrm e}^{\frac{x}{3}+5}\right) \ln \left(-x +625\right)+x^{2}+2 \,{\mathrm e}^{\frac{x}{3}+5} x +{\mathrm e}^{\frac{2 x}{3}+10}$&$47$\\ norman&$x^{2}+{\mathrm e}^{\frac{2 x}{3}+10}+\ln \left(-x +625\right)^{2}+2 \,{\mathrm e}^{\frac{x}{3}+5} x +2 \,{\mathrm e}^{\frac{x}{3}+5} \ln \left(-x +625\right)+2 \ln \left(-x +625\right) x$&$53$\\ default&$2 \,{\mathrm e}^{\frac{x}{3}+5} x +2 \,{\mathrm e}^{\frac{x}{3}+5} \ln \left(-x +625\right)+{\mathrm e}^{\frac{2 x}{3}+10}+x^{2}+1250 \ln \left(x -625\right)-2 \left(-x +625\right) \ln \left(-x +625\right)+1250+\ln \left(-x +625\right)^{2}$&$64$\\ \hline \end{longtable}"," ",0,"ln(-x+625)^2+(2*x+2*exp(1/3*x+5))*ln(-x+625)+x^2+2*exp(1/3*x+5)*x+exp(2/3*x+10)","B"
6002,1,12,17,0.045000," ","int(-exp(x)+ln(3)-26/25,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\ln \left(3\right)-\frac{26}{25}\right) x -{\mathrm e}^{x}$&$12$\\ default&$-\frac{26 x}{25}-{\mathrm e}^{x}+x \ln \left(3\right)$&$13$\\ risch&$-\frac{26 x}{25}-{\mathrm e}^{x}+x \ln \left(3\right)$&$13$\\ derivativedivides&$-{\mathrm e}^{x}+\frac{\left(25 \ln \left(3\right)-26\right) \ln \left({\mathrm e}^{x}\right)}{25}$&$17$\\ \hline \end{longtable}"," ",0,"(ln(3)-26/25)*x-exp(x)","A"
6003,1,26,23,0.042000," ","int((-16*x^3-192*x+128)/(4*x^4+21*x^3-48*x^2+16*x)/ln(1/9*(-4*x^3-21*x^2+48*x-16)/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4}{\ln \left(\frac{-4 x^{3}-21 x^{2}+48 x -16}{9 x^{2}}\right)}$&$26$\\ risch&$\frac{4}{\ln \left(\frac{-4 x^{3}-21 x^{2}+48 x -16}{9 x^{2}}\right)}$&$26$\\ \hline \end{longtable}"," ",0,"4/ln(1/9*(-4*x^3-21*x^2+48*x-16)/x^2)","A"
6004,1,126,20,0.325000," ","int(((-x*exp(x)^2-25*x)*ln(1/25*x*exp(x)^2+x)+((2*x^2+5*x+2)*exp(x)^2+25*x+50)*ln(1+1/2*x))*exp(ln(1/25*x*exp(x)^2+x)/ln(1+1/2*x))/((x^2+2*x)*exp(x)^2+25*x^2+50*x)/ln(1+1/2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{2 x}+25\right)\right)^{3}-i \pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{2 x}+25\right)\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{2 x}+25\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{2 x}+25\right)\right)+i \pi  \,\mathrm{csgn}\left(i x \left({\mathrm e}^{2 x}+25\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{2 x}+25\right)\right)-2 \ln \left(x \right)+4 \ln \left(5\right)-2 \ln \left({\mathrm e}^{2 x}+25\right)}{2 \ln \left(1+\frac{x}{2}\right)}}$&$126$\\ \hline \end{longtable}"," ",0,"exp(-1/2*(I*Pi*csgn(I*x*(exp(2*x)+25))^3-I*Pi*csgn(I*x*(exp(2*x)+25))^2*csgn(I*x)-I*Pi*csgn(I*x*(exp(2*x)+25))^2*csgn(I*(exp(2*x)+25))+I*Pi*csgn(I*x*(exp(2*x)+25))*csgn(I*x)*csgn(I*(exp(2*x)+25))-2*ln(x)+4*ln(5)-2*ln(exp(2*x)+25))/ln(1+1/2*x))","C"
6005,1,47,25,0.340000," ","int((-8*exp(-2*ln(2)+4+x)^2+48*exp(-2*ln(2)+4+x))/((exp(1)^2+(-4*x-8)*exp(1)+4*x^2+16*x+16)*exp(-2*ln(2)+4+x)^2+(-24*exp(1)+48*x+96)*exp(-2*ln(2)+4+x)+144),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4 \,{\mathrm e}^{-2 \ln \left(2\right)+4+x}}{{\mathrm e}^{-2 \ln \left(2\right)+4+x} {\mathrm e}-2 \,{\mathrm e}^{-2 \ln \left(2\right)+4+x} x -4 \,{\mathrm e}^{-2 \ln \left(2\right)+4+x}-12}$&$47$\\ risch&$-\frac{4}{{\mathrm e}-2 x -4}-\frac{48}{\left({\mathrm e}-2 x -4\right) \left(\frac{{\mathrm e}^{5+x}}{4}-\frac{x \,{\mathrm e}^{4+x}}{2}-{\mathrm e}^{4+x}-12\right)}$&$47$\\ \hline \end{longtable}"," ",0,"-4*exp(-2*ln(2)+4+x)/(exp(-2*ln(2)+4+x)*exp(1)-2*exp(-2*ln(2)+4+x)*x-4*exp(-2*ln(2)+4+x)-12)","A"
6006,1,16,20,0.052000," ","int((exp(-exp(x)+x^2+2*x-13)+exp(x)^2+(-2*x-1)*exp(x))/exp(-exp(x)+x^2+2*x-13),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-x +{\mathrm e}^{x}-x^{2}+13}$&$16$\\ norman&$\left(x \,{\mathrm e}^{-{\mathrm e}^{x}+x^{2}+2 x -13}+{\mathrm e}^{x}\right) {\mathrm e}^{{\mathrm e}^{x}-x^{2}-2 x +13}$&$35$\\ \hline \end{longtable}"," ",0,"x+exp(-x+exp(x)-x^2+13)","A"
6007,1,298,22,0.227000," ","int((3*x^2*ln(exp((2*x-5)/x)^2*exp(x)^2)-4*x^3-20*x)/ln(exp((2*x-5)/x)^2*exp(x)^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x^{3}}{\left(\pi  \mathrm{csgn}\left(i {\mathrm e}^{\frac{2 x -5}{x}}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{\frac{4 x -10}{x}}\right)-2 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{2 x -5}{x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{4 x -10}{x}}\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{\frac{4 x -10}{x}}\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{4 x -10}{x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{2 x^{2}+4 x -10}{x}}\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{4 x -10}{x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{2 x^{2}+4 x -10}{x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+\pi  \mathrm{csgn}\left(i {\mathrm e}^{\frac{2 x^{2}+4 x -10}{x}}\right)^{3}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{\frac{2 x^{2}+4 x -10}{x}}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+\pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-2 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}+4 i \ln \left({\mathrm e}^{x}\right)+4 i \ln \left({\mathrm e}^{\frac{2 x -5}{x}}\right)\right)^{2}}$&$298$\\ default&$\text{Expression too large to display}$&$9401$\\ \hline \end{longtable}"," ",0,"-4*x^3/(Pi*csgn(I*exp((2*x-5)/x))^2*csgn(I*exp(2*(2*x-5)/x))-2*Pi*csgn(I*exp((2*x-5)/x))*csgn(I*exp(2*(2*x-5)/x))^2+Pi*csgn(I*exp(2*(2*x-5)/x))^3-Pi*csgn(I*exp(2*(2*x-5)/x))*csgn(I*exp(2*(x^2+2*x-5)/x))^2+Pi*csgn(I*exp(2*(2*x-5)/x))*csgn(I*exp(2*(x^2+2*x-5)/x))*csgn(I*exp(2*x))+Pi*csgn(I*exp(2*(x^2+2*x-5)/x))^3-Pi*csgn(I*exp(2*(x^2+2*x-5)/x))^2*csgn(I*exp(2*x))+Pi*csgn(I*exp(x))^2*csgn(I*exp(2*x))-2*Pi*csgn(I*exp(x))*csgn(I*exp(2*x))^2+Pi*csgn(I*exp(2*x))^3+4*I*ln(exp(x))+4*I*ln(exp((2*x-5)/x)))^2","C"
6008,1,9,8,0.299000," ","int(-1/(exp(1)-x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left({\mathrm e}-x -2\right)$&$9$\\ norman&$\ln \left({\mathrm e}-x -2\right)$&$9$\\ risch&$\ln \left(x -{\mathrm e}+2\right)$&$9$\\ meijerg&$-\frac{\left(2-{\mathrm e}\right) \ln \left(1-\frac{x}{{\mathrm e}-2}\right)}{{\mathrm e}-2}$&$27$\\ \hline \end{longtable}"," ",0,"ln(exp(1)-x-2)","A"
6009,1,9,17,0.014000," ","int((-2*x+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x \right)-2 x$&$9$\\ norman&$2 \ln \left(x \right)-2 x$&$9$\\ risch&$2 \ln \left(x \right)-2 x$&$9$\\ \hline \end{longtable}"," ",0,"2*ln(x)-2*x","A"
6010,0,0,26,0.027000," ","int(((-3*x^2-45)*ln(x^2)*ln(ln(x^2))^2+(-12*x^2+24*x+180)*ln(ln(x^2))+(x^2-15)*ln(x^2))/((9*x^4-36*x^3-234*x^2+540*x+2025)*ln(x^2)*ln(ln(x^2))^4+(-6*x^4+60*x^3-96*x^2-540*x+1350)*ln(x^2)*ln(ln(x^2))^2+(x^4-16*x^3+94*x^2-240*x+225)*ln(x^2)),x)","\[\int \frac{\left(-3 x^{2}-45\right) \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)^{2}+\left(-12 x^{2}+24 x +180\right) \ln \left(\ln \left(x^{2}\right)\right)+\left(x^{2}-15\right) \ln \left(x^{2}\right)}{\left(9 x^{4}-36 x^{3}-234 x^{2}+540 x +2025\right) \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)^{4}+\left(-6 x^{4}+60 x^{3}-96 x^{2}-540 x +1350\right) \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)^{2}+\left(x^{4}-16 x^{3}+94 x^{2}-240 x +225\right) \ln \left(x^{2}\right)}\, dx\]"," ",0,"int(((-3*x^2-45)*ln(x^2)*ln(ln(x^2))^2+(-12*x^2+24*x+180)*ln(ln(x^2))+(x^2-15)*ln(x^2))/((9*x^4-36*x^3-234*x^2+540*x+2025)*ln(x^2)*ln(ln(x^2))^4+(-6*x^4+60*x^3-96*x^2-540*x+1350)*ln(x^2)*ln(ln(x^2))^2+(x^4-16*x^3+94*x^2-240*x+225)*ln(x^2)),x)","F"
6011,1,15,18,0.023000," ","int(-16*exp(x)*exp(exp(x))*exp(exp(exp(x)))*exp(exp(exp(exp(x))))+64*exp(4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-16 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}}+16 \,{\mathrm e}^{4 x}$&$15$\\ risch&$-16 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}}+16 \,{\mathrm e}^{4 x}$&$15$\\ \hline \end{longtable}"," ",0,"-16*exp(exp(exp(exp(x))))+16*exp(4*x)","A"
6012,1,21,29,0.091000," ","int((2*ln(2)^2*ln(-1/5*ln(4-2*x)+9/5)+(x-2)*ln(4-2*x)-9*x+18)/((x-2)*ln(4-2*x)-9*x+18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\ln \left(2\right)^{2} \ln \left(-\frac{\ln \left(4-2 x \right)}{5}+\frac{9}{5}\right)^{2}$&$21$\\ risch&$x +\ln \left(2\right)^{2} \ln \left(-\frac{\ln \left(4-2 x \right)}{5}+\frac{9}{5}\right)^{2}$&$21$\\ \hline \end{longtable}"," ",0,"x+ln(2)^2*ln(-1/5*ln(4-2*x)+9/5)^2","A"
6013,1,60,18,1.285000," ","int((-exp(1/x)-x^2)*exp(ln(x^2)+exp(1/x)-x-1)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-1-\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\frac{i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}+{\mathrm e}^{\frac{1}{x}}-x}$&$60$\\ \hline \end{longtable}"," ",0,"exp(-1-1/2*I*Pi*csgn(I*x^2)^3+I*Pi*csgn(I*x)*csgn(I*x^2)^2-1/2*I*Pi*csgn(I*x)^2*csgn(I*x^2)+exp(1/x)-x)","C"
6014,1,122,20,0.175000," ","int(1/2097152*((1099511627776*exp(x+1)^16+(68719476736*x^4-103079215104*x^3)*exp(x+1)^14)*ln(x)^7+(-240518168576*x^3*exp(x+1)^14+(-15032385536*x^7+22548578304*x^6)*exp(x+1)^12)*ln(x)^6+(22548578304*x^6*exp(x+1)^12+(1409286144*x^10-2113929216*x^9)*exp(x+1)^10)*ln(x)^5+(-1174405120*x^9*exp(x+1)^10+(-73400320*x^13+110100480*x^12)*exp(x+1)^8)*ln(x)^4+(36700160*x^12*exp(x+1)^8+(2293760*x^16-3440640*x^15)*exp(x+1)^6)*ln(x)^3+(-688128*x^15*exp(x+1)^6+(-43008*x^19+64512*x^18)*exp(x+1)^4)*ln(x)^2+(7168*x^18*exp(x+1)^4+(448*x^22-672*x^21)*exp(x+1)^2)*ln(x)-32*x^21*exp(x+1)^2-2*x^25+3*x^24)/x/exp(x+1)^16,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$65536 \ln \left(x \right)^{8}-16384 x^{3} {\mathrm e}^{-2 x -2} \ln \left(x \right)^{7}+1792 x^{6} {\mathrm e}^{-4 x -4} \ln \left(x \right)^{6}-112 x^{9} {\mathrm e}^{-6 x -6} \ln \left(x \right)^{5}+\frac{35 x^{12} {\mathrm e}^{-8 x -8} \ln \left(x \right)^{4}}{8}-\frac{7 x^{15} {\mathrm e}^{-10 x -10} \ln \left(x \right)^{3}}{64}+\frac{7 x^{18} {\mathrm e}^{-12 x -12} \ln \left(x \right)^{2}}{4096}-\frac{x^{21} {\mathrm e}^{-14 x -14} \ln \left(x \right)}{65536}+\frac{x^{24} {\mathrm e}^{-16 x -16}}{16777216}$&$122$\\ \hline \end{longtable}"," ",0,"65536*ln(x)^8-16384*x^3*exp(-2*x-2)*ln(x)^7+1792*x^6*exp(-4*x-4)*ln(x)^6-112*x^9*exp(-6*x-6)*ln(x)^5+35/8*x^12*exp(-8*x-8)*ln(x)^4-7/64*x^15*exp(-10*x-10)*ln(x)^3+7/4096*x^18*exp(-12*x-12)*ln(x)^2-1/65536*x^21*exp(-14*x-14)*ln(x)+1/16777216*x^24*exp(-16*x-16)","B"
6015,1,18,17,0.033000," ","int((-2*x^2-3*x+2)*exp(2*ln(x)+exp(2)-x^2-3*x+25)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{2 \ln \left(x \right)+{\mathrm e}^{2}-x^{2}-3 x +25}$&$18$\\ default&$x^{2} {\mathrm e}^{25+{\mathrm e}^{2}-x^{2}-3 x}$&$18$\\ norman&${\mathrm e}^{2 \ln \left(x \right)+{\mathrm e}^{2}-x^{2}-3 x +25}$&$18$\\ risch&$x^{2} {\mathrm e}^{25+{\mathrm e}^{2}-x^{2}-3 x}$&$18$\\ \hline \end{longtable}"," ",0,"exp(2*ln(x)+exp(2)-x^2-3*x+25)","A"
6016,1,15,23,0.023000," ","int(-ln(x)^2-2*ln(x)+2*x+17,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+17 x -x \ln \left(x \right)^{2}$&$15$\\ norman&$x^{2}+17 x -x \ln \left(x \right)^{2}$&$15$\\ risch&$x^{2}+17 x -x \ln \left(x \right)^{2}$&$15$\\ \hline \end{longtable}"," ",0,"x^2+17*x-x*ln(x)^2","A"
6017,1,52,22,1.982000," ","int(((3*ln(x^2)*exp(exp(x))*ln(ln(x^2))+(-3*x*ln(3)+3*x)*ln(x^2))*ln(exp(exp(x))*ln(ln(x^2))-x*ln(3)+x)-6*x*exp(x)*ln(x^2)*exp(exp(x))*ln(ln(x^2))-12*exp(exp(x))+(6*x*ln(3)-6*x)*ln(x^2))/(ln(x^2)*exp(exp(x))*ln(ln(x^2))+(-x*ln(3)+x)*ln(x^2))/ln(exp(exp(x))*ln(ln(x^2))-x*ln(3)+x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x}{\ln \left({\mathrm e}^{{\mathrm e}^{x}} \ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)-x \ln \left(3\right)+x \right)^{2}}$&$52$\\ \hline \end{longtable}"," ",0,"3*x/ln(exp(exp(x))*ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)-x*ln(3)+x)^2","C"
6018,1,35,22,0.041000," ","int(2/3*x*exp(x^2)^2+1/6*((4*x+6)*exp(3*x)+12*x)*exp(x^2)+exp(3*x)^2+3*exp(3*x)+1/6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{6}+\frac{{\mathrm e}^{2 x^{2}}}{6}+\frac{{\mathrm e}^{6 x}}{6}+\frac{{\mathrm e}^{\left(3+x \right) x}}{3}+{\mathrm e}^{x^{2}}+{\mathrm e}^{3 x}$&$35$\\ default&$\frac{x}{6}+\frac{{\mathrm e}^{6 x}}{6}+\frac{{\mathrm e}^{2 x^{2}}}{6}+{\mathrm e}^{x^{2}}+\frac{{\mathrm e}^{x^{2}+3 x}}{3}+{\mathrm e}^{3 x}$&$39$\\ norman&$\frac{x}{6}+\frac{{\mathrm e}^{2 x^{2}}}{6}+\frac{{\mathrm e}^{6 x}}{6}+\frac{{\mathrm e}^{x^{2}} {\mathrm e}^{3 x}}{3}+{\mathrm e}^{x^{2}}+{\mathrm e}^{3 x}$&$39$\\ \hline \end{longtable}"," ",0,"1/6*x+1/6*exp(2*x^2)+1/6*exp(6*x)+1/3*exp((3+x)*x)+exp(x^2)+exp(3*x)","A"
6019,1,23,18,0.072000," ","int((15*x^4-64*x^3+100*x^2-64*x+12)*exp(x^5-16/3*x^4+100/9*x^3-32/3*x^2+4*x)/(3*exp(x^5-16/3*x^4+100/9*x^3-32/3*x^2+4*x)^2-6*exp(x^5-16/3*x^4+100/9*x^3-32/3*x^2+4*x)+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{{\mathrm e}^{\frac{x \left(3 x^{2}-8 x +6\right)^{2}}{9}}-1}$&$23$\\ norman&$-\frac{1}{{\mathrm e}^{x^{5}-\frac{16}{3} x^{4}+\frac{100}{9} x^{3}-\frac{32}{3} x^{2}+4 x}-1}$&$30$\\ \hline \end{longtable}"," ",0,"-1/(exp(1/9*x*(3*x^2-8*x+6)^2)-1)","A"
6020,1,20,19,0.126000," ","int((ln(4*x^5*ln(2)^2)+5*ln(x)+2*x^2)*exp(ln(x)*ln(4*x^5*ln(2)^2)+x^2+9)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{\ln \left(x \right) \ln \left(4 x^{5} \ln \left(2\right)^{2}\right)+x^{2}+9}$&$20$\\ risch&$x^{-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{5}\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right) \mathrm{csgn}\left(i x^{5}\right)}{2}+\frac{5 i \pi  \,\mathrm{csgn}\left(i x \right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)}{2}+5 \ln \left(x \right)+2 \ln \left(2\right)+2 \ln \left(\ln \left(2\right)\right)} {\mathrm e}^{x^{2}+9}$&$124$\\ \hline \end{longtable}"," ",0,"exp(ln(x)*ln(4*x^5*ln(2)^2)+x^2+9)","A"
6021,1,33,15,0.088000," ","int(2*exp(x-1)^2+(-2*x^2-2*x+2)*exp(x-1)+4*x^3-6*x^2+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x -2}+\left(-2 x^{2}+2 x \right) {\mathrm e}^{x -1}+x^{4}-2 x^{3}+x^{2}$&$33$\\ norman&$x^{2}+x^{4}+{\mathrm e}^{2 x -2}-2 x^{3}+2 x \,{\mathrm e}^{x -1}-2 x^{2} {\mathrm e}^{x -1}$&$35$\\ default&$-2 \,{\mathrm e}^{x -1} \left(x -1\right)-2 \,{\mathrm e}^{x -1} \left(x -1\right)^{2}+x^{2}-2 x^{3}+x^{4}+{\mathrm e}^{2 x -2}$&$39$\\ derivativedivides&$2 x -2-2 \,{\mathrm e}^{x -1} \left(x -1\right)-2 \,{\mathrm e}^{x -1} \left(x -1\right)^{2}+\left(x -1\right)^{2}-2 x^{3}+x^{4}+{\mathrm e}^{2 x -2}$&$45$\\ \hline \end{longtable}"," ",0,"exp(2*x-2)+(-2*x^2+2*x)*exp(x-1)+x^4-2*x^3+x^2","B"
6022,1,27,28,0.052000," ","int(((81*x^2-216*x+108)*ln(x)+(-18*x^3+99*x^2-144*x+36)*exp(x)+2*(-81*x^2+216*x-108)*ln(3)-54*x^2+216*x-216)/(27*ln(x)^3+(27*exp(x)-162*ln(3))*ln(x)^2+(9*exp(x)^2-108*ln(3)*exp(x)+324*ln(3)^2)*ln(x)+exp(x)^3-18*ln(3)*exp(x)^2+108*ln(3)^2*exp(x)-216*ln(3)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 x \left(x^{2}-4 x +4\right)}{\left(6 \ln \left(3\right)-{\mathrm e}^{x}-3 \ln \left(x \right)\right)^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"9*x*(x^2-4*x+4)/(6*ln(3)-exp(x)-3*ln(x))^2","A"
6023,1,34,25,0.052000," ","int(((-16*x^4-24*x^3-8*x^2)*ln(3)+exp(3)+4*x^2-x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-4 \ln \left(3\right)+2\right) x^{2}-x -8 x^{3} \ln \left(3\right)-4 x^{4} \ln \left(3\right)+\ln \left(x \right) {\mathrm e}^{3}$&$34$\\ default&$-4 x^{4} \ln \left(3\right)-8 x^{3} \ln \left(3\right)-4 x^{2} \ln \left(3\right)+2 x^{2}-x +\ln \left(x \right) {\mathrm e}^{3}$&$36$\\ risch&$-4 x^{4} \ln \left(3\right)-8 x^{3} \ln \left(3\right)-4 x^{2} \ln \left(3\right)+2 x^{2}-x +\ln \left(x \right) {\mathrm e}^{3}$&$36$\\ \hline \end{longtable}"," ",0,"(-4*ln(3)+2)*x^2-x-8*x^3*ln(3)-4*x^4*ln(3)+ln(x)*exp(3)","A"
6024,1,20,22,0.135000," ","int(((x^3-4*x^2+6*x)*exp((x^2-3*x)/(x-2))*ln(x)+(-26*x^3+104*x^2-156*x)*exp((x^2-3*x)/(x-2))+2*x^2-8*x+8)/((x^3-4*x^2+4*x)*ln(x)-26*x^3+104*x^2-104*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \left(x -3\right)}{x -2}}+2 \ln \left(-26+\ln \left(x \right)\right)$&$20$\\ default&$2 \ln \left(-26+\ln \left(x \right)\right)+\frac{x \,{\mathrm e}^{\frac{x^{2}-3 x}{x -2}}-2 \,{\mathrm e}^{\frac{x^{2}-3 x}{x -2}}}{x -2}$&$48$\\ norman&$2 \ln \left(-26+\ln \left(x \right)\right)+\frac{x \,{\mathrm e}^{\frac{x^{2}-3 x}{x -2}}-2 \,{\mathrm e}^{\frac{x^{2}-3 x}{x -2}}}{x -2}$&$48$\\ \hline \end{longtable}"," ",0,"exp(x*(x-3)/(x-2))+2*ln(-26+ln(x))","A"
6025,1,20,23,0.278000," ","int((((-exp(4*ln(2)-25)-x)*ln(x)*ln(exp(4*ln(2)-25)+x)-x*ln(x))*ln(ln(x))+(x*exp(4*ln(2)-25)+x^2)*ln(x)*ln(exp(4*ln(2)-25)+x)^2+(exp(4*ln(2)-25)+x)*ln(exp(4*ln(2)-25)+x))/(x^2*exp(4*ln(2)-25)+x^3)/ln(x)/ln(exp(4*ln(2)-25)+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(x \right)\right)}{x \ln \left(16 \,{\mathrm e}^{-25}+x \right)}+\ln \left(x \right)$&$20$\\ \hline \end{longtable}"," ",0,"1/x/ln(16*exp(-25)+x)*ln(ln(x))+ln(x)","A"
6026,1,21,16,0.051000," ","int(1/144*((2*exp(x)^2*x^2+144*x^2-4)*ln(x)+x*exp(x)^2+144*x^2+4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{2 x} \ln \left(x \right)}{144}+x \ln \left(x \right)+\frac{\ln \left(x \right)}{36 x}$&$21$\\ risch&$\frac{\left(x \,{\mathrm e}^{2 x}+144 x^{2}+4\right) \ln \left(x \right)}{144 x}$&$21$\\ norman&$\frac{x^{2} \ln \left(x \right)+\frac{x \,{\mathrm e}^{2 x} \ln \left(x \right)}{144}+\frac{\ln \left(x \right)}{36}}{x}$&$25$\\ \hline \end{longtable}"," ",0,"1/144*exp(x)^2*ln(x)+x*ln(x)+1/36*ln(x)/x","A"
6027,1,22,25,0.356000," ","int((-2*x*exp(5)+6*x)*ln(x^2)/(25*ln(7)*ln(x^2)^2+50*ln(7)*ln(x^2)+25*ln(7)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\left({\mathrm e}^{5}-3\right) x^{2}}{25 \ln \left(7\right) \left(\ln \left(x^{2}\right)+1\right)}$&$22$\\ norman&$-\frac{\left({\mathrm e}^{5}-3\right) x^{2}}{25 \ln \left(7\right) \left(\ln \left(x^{2}\right)+1\right)}$&$22$\\ risch&$-\frac{\left({\mathrm e}^{5}-3\right) x^{2}}{25 \ln \left(7\right) \left(\ln \left(x^{2}\right)+1\right)}$&$22$\\ \hline \end{longtable}"," ",0,"-1/25*(exp(5)-3)/ln(7)*x^2/(ln(x^2)+1)","A"
6028,1,30,27,0.039000," ","int((((6*x^2+12*x)*exp(4+x)-24*x^2+8*x-16)*ln(x)^2+(-12*x*exp(4+x)+16*x^2-8*x+32)*ln(x))*exp(-2*ln(x)^2/(3*x^2*exp(4+x)-4*x^3+2*x^2-8*x))/(9*x^4*exp(4+x)^2+(-24*x^5+12*x^4-48*x^3)*exp(4+x)+16*x^6-16*x^5+68*x^4-32*x^3+64*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 \ln \left(x \right)^{2}}{x \left(-3 x \,{\mathrm e}^{4+x}+4 x^{2}-2 x +8\right)}}$&$30$\\ \hline \end{longtable}"," ",0,"exp(2*ln(x)^2/x/(-3*x*exp(4+x)+4*x^2-2*x+8))","A"
6029,1,29,30,0.029000," ","int(((x^3-x^2)*ln(x)*ln(ln(x))+((-x-1)*ln(2)-x^3+8*x^2)*ln(x)-x^2)/x^2/exp(x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{-x} \ln \left(\ln \left(x \right)\right)+\frac{\left(x^{2}+\ln \left(2\right)-7 x \right) {\mathrm e}^{-x}}{x}$&$29$\\ \hline \end{longtable}"," ",0,"-x*exp(-x)*ln(ln(x))+(x^2+ln(2)-7*x)/x*exp(-x)","A"
6030,1,219,20,0.216000," ","int(((2*exp(x)^2+(2*x+2)*exp(x)+2*x+1)*exp(exp(5)^2)+(2*x-1)*exp(x)^2+2*exp(x)*x^2+x^2)/((exp(x)^2+2*exp(x)*x+x^2+x)*exp(exp(5)^2)+x*exp(x)^2+2*exp(x)*x^2+x^3+x^2)/ln((exp(x)^2+2*exp(x)*x+x^2+x)/(exp(exp(5)^2)+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x^{2}+\left(2 \,{\mathrm e}^{x}+1\right) x +{\mathrm e}^{2 x}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{{\mathrm e}^{10}}+x}\right) \mathrm{csgn}\left(i \left(x^{2}+\left(2 \,{\mathrm e}^{x}+1\right) x +{\mathrm e}^{2 x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(2 \,{\mathrm e}^{x}+1\right) x +{\mathrm e}^{2 x}\right)}{{\mathrm e}^{{\mathrm e}^{10}}+x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{{\mathrm e}^{10}}+x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(2 \,{\mathrm e}^{x}+1\right) x +{\mathrm e}^{2 x}\right)}{{\mathrm e}^{{\mathrm e}^{10}}+x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x^{2}+\left(2 \,{\mathrm e}^{x}+1\right) x +{\mathrm e}^{2 x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(2 \,{\mathrm e}^{x}+1\right) x +{\mathrm e}^{2 x}\right)}{{\mathrm e}^{{\mathrm e}^{10}}+x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(2 \,{\mathrm e}^{x}+1\right) x +{\mathrm e}^{2 x}\right)}{{\mathrm e}^{{\mathrm e}^{10}}+x}\right)^{3}-2 i \ln \left({\mathrm e}^{{\mathrm e}^{10}}+x \right)\right)}{2}\right)$&$219$\\ \hline \end{longtable}"," ",0,"ln(ln(x^2+(2*exp(x)+1)*x+exp(2*x))-1/2*I*(Pi*csgn(I/(exp(exp(10))+x))*csgn(I*(x^2+(2*exp(x)+1)*x+exp(2*x)))*csgn(I/(exp(exp(10))+x)*(x^2+(2*exp(x)+1)*x+exp(2*x)))-Pi*csgn(I/(exp(exp(10))+x))*csgn(I/(exp(exp(10))+x)*(x^2+(2*exp(x)+1)*x+exp(2*x)))^2-Pi*csgn(I*(x^2+(2*exp(x)+1)*x+exp(2*x)))*csgn(I/(exp(exp(10))+x)*(x^2+(2*exp(x)+1)*x+exp(2*x)))^2+Pi*csgn(I/(exp(exp(10))+x)*(x^2+(2*exp(x)+1)*x+exp(2*x)))^3-2*I*ln(exp(exp(10))+x)))","C"
6031,1,266,19,1.607000," ","int((((x^2+4*x)*ln(4+x)+x)*ln(1/7*x^2)^2+(-8*x-32)*ln(4+x))*exp((ln(1/7*x^2)*ln(ln(4+x))+(x+1)*ln(1/7*x^2)+4)/ln(1/7*x^2))/(x^2+4*x)/ln(4+x)/ln(1/7*x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+i \ln \left(\ln \left(4+x \right)\right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \ln \left(\ln \left(4+x \right)\right) \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+i x \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(\ln \left(4+x \right)\right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-2 i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i x \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-4 \ln \left(\ln \left(4+x \right)\right) \ln \left(x \right)-4 x \ln \left(x \right)+2 \ln \left(\ln \left(4+x \right)\right) \ln \left(7\right)+2 x \ln \left(7\right)-4 \ln \left(x \right)+2 \ln \left(7\right)-8}{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-4 \ln \left(x \right)+2 \ln \left(7\right)}}$&$266$\\ \hline \end{longtable}"," ",0,"exp((I*Pi*csgn(I*x^2)^3+I*Pi*csgn(I*x)^2*csgn(I*x^2)+I*ln(ln(4+x))*Pi*csgn(I*x^2)^3-2*I*Pi*csgn(I*x)*csgn(I*x^2)^2+I*ln(ln(4+x))*Pi*csgn(I*x^2)*csgn(I*x)^2+I*x*Pi*csgn(I*x^2)^3-2*I*ln(ln(4+x))*Pi*csgn(I*x^2)^2*csgn(I*x)-2*I*x*Pi*csgn(I*x)*csgn(I*x^2)^2+I*x*Pi*csgn(I*x)^2*csgn(I*x^2)-4*ln(ln(4+x))*ln(x)-4*x*ln(x)+2*ln(ln(4+x))*ln(7)+2*x*ln(7)-4*ln(x)+2*ln(7)-8)/(I*Pi*csgn(I*x^2)^3-2*I*Pi*csgn(I*x)*csgn(I*x^2)^2+I*Pi*csgn(I*x)^2*csgn(I*x^2)-4*ln(x)+2*ln(7)))","C"
6032,1,21,24,0.041000," ","int((6*exp(x^2)*x+(-96*x-48)*exp(x)^2-3)/(125*exp(x^2)^2+(-4000*x*exp(x)^2-250*x+1250)*exp(x^2)+32000*x^2*exp(x)^4+(4000*x^2-20000*x)*exp(x)^2+125*x^2-1250*x+3125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{125 \left(16 x \,{\mathrm e}^{2 x}+x -{\mathrm e}^{x^{2}}-5\right)}$&$21$\\ \hline \end{longtable}"," ",0,"3/125/(16*x*exp(2*x)+x-exp(x^2)-5)","A"
6033,1,13,14,0.023000," ","int((12*x^2+56*x+64)*exp(x^3+7*x^2+16*x+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{\left(3+x \right) \left(2+x \right)^{2}}$&$13$\\ gosper&$4 \,{\mathrm e}^{x^{3}+7 x^{2}+16 x +12}$&$17$\\ default&$4 \,{\mathrm e}^{x^{3}+7 x^{2}+16 x +12}$&$17$\\ norman&$4 \,{\mathrm e}^{x^{3}+7 x^{2}+16 x +12}$&$17$\\ \hline \end{longtable}"," ",0,"4*exp((3+x)*(2+x)^2)","A"
6034,1,24,27,0.044000," ","int((9*x^3-63*x^2+72*x+18)*exp(2)^2/(2*x^6-8*x^5+32*x^3-24*x^2-32*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{4} \left(-\frac{9 x}{4}+9\right)}{x^{3}-2 x^{2}-2 x +4}$&$24$\\ gosper&$-\frac{9 \left(x -4\right) {\mathrm e}^{4}}{4 \left(x^{3}-2 x^{2}-2 x +4\right)}$&$25$\\ default&$\frac{9 \,{\mathrm e}^{4} \left(\frac{-3-x}{2 x^{2}-4}+\frac{1}{2 x -4}\right)}{2}$&$29$\\ norman&$\frac{-\frac{9 x \,{\mathrm e}^{4}}{4}+9 \,{\mathrm e}^{4}}{x^{3}-2 x^{2}-2 x +4}$&$31$\\ \hline \end{longtable}"," ",0,"exp(4)*(-9/4*x+9)/(x^3-2*x^2-2*x+4)","A"
6035,1,49,23,0.039000," ","int((((16*x+1)*exp(x)+16*x^2+x)*exp(8*x^2+x+4)*ln(exp(x)+x)^2+((-96*x-4)*exp(x)-96*x^2-6*x+2)*exp(8*x^2+x+4)*ln(exp(x)+x)+((144*x+3)*exp(x)+144*x^2+9*x-6)*exp(8*x^2+x+4)-exp(x)-x)/(exp(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{8 x^{2}+x +4} \ln \left({\mathrm e}^{x}+x \right)^{2}-6 \,{\mathrm e}^{8 x^{2}+x +4} \ln \left({\mathrm e}^{x}+x \right)-x +9 \,{\mathrm e}^{8 x^{2}+x +4}$&$49$\\ \hline \end{longtable}"," ",0,"exp(8*x^2+x+4)*ln(exp(x)+x)^2-6*exp(8*x^2+x+4)*ln(exp(x)+x)-x+9*exp(8*x^2+x+4)","B"
6036,1,27,17,0.500000," ","int((230400*exp(x)-103680*x)*exp((-40*exp(x)+9*x^2-5760)/(40*exp(x)-9*x^2))/(1600*exp(x)^2-720*exp(x)*x^2+81*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-9 x^{2}+40 \,{\mathrm e}^{x}+5760}{40 \,{\mathrm e}^{x}-9 x^{2}}}$&$27$\\ norman&$\frac{9 x^{2} {\mathrm e}^{\frac{-40 \,{\mathrm e}^{x}+9 x^{2}-5760}{40 \,{\mathrm e}^{x}-9 x^{2}}}-40 \,{\mathrm e}^{x} {\mathrm e}^{\frac{-40 \,{\mathrm e}^{x}+9 x^{2}-5760}{40 \,{\mathrm e}^{x}-9 x^{2}}}}{9 x^{2}-40 \,{\mathrm e}^{x}}$&$74$\\ \hline \end{longtable}"," ",0,"exp(-(-9*x^2+40*exp(x)+5760)/(40*exp(x)-9*x^2))","A"
6037,1,26,31,0.050000," ","int(((102*x^4-204*x^3+101*x^2+2*x-1)*exp(1/2*x^2)^2*exp(25*x^2)^2+(10*x^6-10*x^5+5*x^4-10*x^3)*exp(1/2*x^2)^2)/(x^4-2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{51 x^{2}}}{x}+\frac{5 x^{2} {\mathrm e}^{x^{2}}}{x -1}$&$26$\\ \hline \end{longtable}"," ",0,"1/x*exp(51*x^2)+5*x^2/(x-1)*exp(x^2)","A"
6038,1,32,15,0.026000," ","int(1/1024*((-ln(2)^4-112*ln(2)^3-4704*ln(2)^2-87808*ln(2)-614656)*ln(x)-ln(2)^4-112*ln(2)^3-4704*ln(2)^2-87808*ln(2)-614656)/x^5/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(2\right)^{4}+112 \ln \left(2\right)^{3}+4704 \ln \left(2\right)^{2}+87808 \ln \left(2\right)+614656}{4096 x^{4} \ln \left(x \right)^{4}}$&$32$\\ default&$-\frac{\ln \left(2\right)^{4} \left(-\frac{1}{3 x^{4} \ln \left(x \right)^{3}}+\frac{2}{3 x^{4} \ln \left(x \right)^{2}}-\frac{8}{3 x^{4} \ln \left(x \right)}+\frac{32 \expIntegralEi \left(1, 4 \ln \left(x \right)\right)}{3}\right)}{1024}-\frac{7 \ln \left(2\right)^{3} \left(-\frac{1}{3 x^{4} \ln \left(x \right)^{3}}+\frac{2}{3 x^{4} \ln \left(x \right)^{2}}-\frac{8}{3 x^{4} \ln \left(x \right)}+\frac{32 \expIntegralEi \left(1, 4 \ln \left(x \right)\right)}{3}\right)}{64}-\frac{\ln \left(2\right)^{4} \left(-\frac{1}{4 x^{4} \ln \left(x \right)^{4}}+\frac{1}{3 x^{4} \ln \left(x \right)^{3}}-\frac{2}{3 x^{4} \ln \left(x \right)^{2}}+\frac{8}{3 x^{4} \ln \left(x \right)}-\frac{32 \expIntegralEi \left(1, 4 \ln \left(x \right)\right)}{3}\right)}{1024}-\frac{147 \ln \left(2\right)^{2} \left(-\frac{1}{3 x^{4} \ln \left(x \right)^{3}}+\frac{2}{3 x^{4} \ln \left(x \right)^{2}}-\frac{8}{3 x^{4} \ln \left(x \right)}+\frac{32 \expIntegralEi \left(1, 4 \ln \left(x \right)\right)}{3}\right)}{32}-\frac{7 \ln \left(2\right)^{3} \left(-\frac{1}{4 x^{4} \ln \left(x \right)^{4}}+\frac{1}{3 x^{4} \ln \left(x \right)^{3}}-\frac{2}{3 x^{4} \ln \left(x \right)^{2}}+\frac{8}{3 x^{4} \ln \left(x \right)}-\frac{32 \expIntegralEi \left(1, 4 \ln \left(x \right)\right)}{3}\right)}{64}-\frac{343 \ln \left(2\right) \left(-\frac{1}{3 x^{4} \ln \left(x \right)^{3}}+\frac{2}{3 x^{4} \ln \left(x \right)^{2}}-\frac{8}{3 x^{4} \ln \left(x \right)}+\frac{32 \expIntegralEi \left(1, 4 \ln \left(x \right)\right)}{3}\right)}{4}-\frac{147 \ln \left(2\right)^{2} \left(-\frac{1}{4 x^{4} \ln \left(x \right)^{4}}+\frac{1}{3 x^{4} \ln \left(x \right)^{3}}-\frac{2}{3 x^{4} \ln \left(x \right)^{2}}+\frac{8}{3 x^{4} \ln \left(x \right)}-\frac{32 \expIntegralEi \left(1, 4 \ln \left(x \right)\right)}{3}\right)}{32}-\frac{343 \ln \left(2\right) \left(-\frac{1}{4 x^{4} \ln \left(x \right)^{4}}+\frac{1}{3 x^{4} \ln \left(x \right)^{3}}-\frac{2}{3 x^{4} \ln \left(x \right)^{2}}+\frac{8}{3 x^{4} \ln \left(x \right)}-\frac{32 \expIntegralEi \left(1, 4 \ln \left(x \right)\right)}{3}\right)}{4}+\frac{2401}{16 x^{4} \ln \left(x \right)^{4}}$&$379$\\ \hline \end{longtable}"," ",0,"1/4096/x^4*(ln(2)^4+112*ln(2)^3+4704*ln(2)^2+87808*ln(2)+614656)/ln(x)^4","B"
6039,1,228,24,0.159000," ","int((((3-x)*exp(x)-2*x^2+11*x-15)*ln((-x^2+3*x)*exp(x)-2*x^3+11*x^2-15*x)+(-x^2+x+3)*exp(x)-6*x^2+22*x-15)*exp(x*ln((-x^2+3*x)*exp(x)-2*x^3+11*x^2-15*x))/(((x-3)*exp(x)+2*x^2-11*x+15)*exp(x*ln((-x^2+3*x)*exp(x)-2*x^3+11*x^2-15*x))^2+((-8*x+24)*exp(x)-16*x^2+88*x-120)*exp(x*ln((-x^2+3*x)*exp(x)-2*x^3+11*x^2-15*x))+(16*x-48)*exp(x)+32*x^2-176*x+240),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{{\mathrm e}^{\frac{x \left(i \pi  \mathrm{csgn}\left(i x \left(x^{2}+\left(\frac{{\mathrm e}^{x}}{2}-\frac{11}{2}\right) x -\frac{3 \,{\mathrm e}^{x}}{2}+\frac{15}{2}\right)\right)^{3}+i \pi  \mathrm{csgn}\left(i x \left(x^{2}+\left(\frac{{\mathrm e}^{x}}{2}-\frac{11}{2}\right) x -\frac{3 \,{\mathrm e}^{x}}{2}+\frac{15}{2}\right)\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \mathrm{csgn}\left(i x \left(x^{2}+\left(\frac{{\mathrm e}^{x}}{2}-\frac{11}{2}\right) x -\frac{3 \,{\mathrm e}^{x}}{2}+\frac{15}{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+\left(\frac{{\mathrm e}^{x}}{2}-\frac{11}{2}\right) x -\frac{3 \,{\mathrm e}^{x}}{2}+\frac{15}{2}\right)\right)-i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}+\left(\frac{{\mathrm e}^{x}}{2}-\frac{11}{2}\right) x -\frac{3 \,{\mathrm e}^{x}}{2}+\frac{15}{2}\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x^{2}+\left(\frac{{\mathrm e}^{x}}{2}-\frac{11}{2}\right) x -\frac{3 \,{\mathrm e}^{x}}{2}+\frac{15}{2}\right)\right)-2 i \mathrm{csgn}\left(i x \left(x^{2}+\left(\frac{{\mathrm e}^{x}}{2}-\frac{11}{2}\right) x -\frac{3 \,{\mathrm e}^{x}}{2}+\frac{15}{2}\right)\right)^{2} \pi +2 i \pi +2 \ln \left(x \right)+2 \ln \left(x^{2}+\left(\frac{{\mathrm e}^{x}}{2}-\frac{11}{2}\right) x -\frac{3 \,{\mathrm e}^{x}}{2}+\frac{15}{2}\right)\right)}{2}}-4}$&$228$\\ \hline \end{longtable}"," ",0,"1/(exp(1/2*x*(I*Pi*csgn(I*x*(x^2+(1/2*exp(x)-11/2)*x-3/2*exp(x)+15/2))^3+I*Pi*csgn(I*x*(x^2+(1/2*exp(x)-11/2)*x-3/2*exp(x)+15/2))^2*csgn(I*x)+I*Pi*csgn(I*x*(x^2+(1/2*exp(x)-11/2)*x-3/2*exp(x)+15/2))^2*csgn(I*(x^2+(1/2*exp(x)-11/2)*x-3/2*exp(x)+15/2))-I*Pi*csgn(I*x*(x^2+(1/2*exp(x)-11/2)*x-3/2*exp(x)+15/2))*csgn(I*x)*csgn(I*(x^2+(1/2*exp(x)-11/2)*x-3/2*exp(x)+15/2))-2*I*csgn(I*x*(x^2+(1/2*exp(x)-11/2)*x-3/2*exp(x)+15/2))^2*Pi+2*I*Pi+2*ln(x)+2*ln(x^2+(1/2*exp(x)-11/2)*x-3/2*exp(x)+15/2)))-4)","C"
6040,1,53,31,0.043000," ","int(((15*ln(x)^4-46*ln(x)^2-2*ln(x)+3)*exp((2*ln(x)-3)/ln(x))-60*ln(x)^4+4*ln(x)^2+(-2*x+8)*ln(x))/((15*x*ln(x)^4-x*ln(x)^2)*exp((2*ln(x)-3)/ln(x))+(15*x^2-60*x)*ln(x)^4+(-x^2+4*x)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\frac{3}{\ln \left(x \right)}+2 \ln \left(\ln \left(x \right)\right)-\ln \left(\ln \left(x \right)^{2}-\frac{1}{15}\right)+\frac{2 \ln \left(x \right)-3}{\ln \left(x \right)}-\ln \left(x +{\mathrm e}^{\frac{2 \ln \left(x \right)-3}{\ln \left(x \right)}}-4\right)$&$53$\\ \hline \end{longtable}"," ",0,"ln(x)+3/ln(x)+2*ln(ln(x))-ln(ln(x)^2-1/15)+(2*ln(x)-3)/ln(x)-ln(x+exp((2*ln(x)-3)/ln(x))-4)","A"
6041,1,27,23,0.084000," ","int(1/2*((ln(x)-1)*exp(1/2*ln(x)/x)+2*ln(1/5*x^2)-4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{\frac{\ln \left(x \right)}{2 x}}-\frac{\ln \left(x^{2}\right)}{x}+\frac{\ln \left(5\right)}{x}$&$27$\\ risch&$-\frac{2 \ln \left(x \right)}{x}+\frac{i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 \ln \left(5\right)}{2 x}-x^{\frac{1}{2 x}}$&$77$\\ \hline \end{longtable}"," ",0,"-exp(1/2*ln(x)/x)-ln(x^2)/x+ln(5)/x","A"
6042,0,0,26,0.070000," ","int(((4*x*exp(x)*ln(x)^2*exp(exp(x))-8*x*ln(x)^2+256*x*exp(x)^4*ln(x)-64*exp(x)^4)*ln((ln(x)^2*exp(exp(x))^2+(-4*x*ln(x)^2+32*exp(x)^4*ln(x))*exp(exp(x))+4*x^2*ln(x)^2-64*x*exp(x)^4*ln(x)+256*exp(x)^8)/ln(x)^2)+20*x*exp(x)*ln(x)^2*exp(exp(x))-40*x*ln(x)^2+1280*x*exp(x)^4*ln(x)-320*exp(x)^4)/(x*ln(x)^2*exp(exp(x))-2*x^2*ln(x)^2+16*x*exp(x)^4*ln(x)),x)","\[\int \frac{\left(4 x \,{\mathrm e}^{x} \ln \left(x \right)^{2} {\mathrm e}^{{\mathrm e}^{x}}-8 x \ln \left(x \right)^{2}+256 x \,{\mathrm e}^{4 x} \ln \left(x \right)-64 \,{\mathrm e}^{4 x}\right) \ln \left(\frac{\ln \left(x \right)^{2} {\mathrm e}^{2 \,{\mathrm e}^{x}}+\left(-4 x \ln \left(x \right)^{2}+32 \,{\mathrm e}^{4 x} \ln \left(x \right)\right) {\mathrm e}^{{\mathrm e}^{x}}+4 x^{2} \ln \left(x \right)^{2}-64 x \,{\mathrm e}^{4 x} \ln \left(x \right)+256 \,{\mathrm e}^{8 x}}{\ln \left(x \right)^{2}}\right)+20 x \,{\mathrm e}^{x} \ln \left(x \right)^{2} {\mathrm e}^{{\mathrm e}^{x}}-40 x \ln \left(x \right)^{2}+1280 x \,{\mathrm e}^{4 x} \ln \left(x \right)-320 \,{\mathrm e}^{4 x}}{x \ln \left(x \right)^{2} {\mathrm e}^{{\mathrm e}^{x}}-2 x^{2} \ln \left(x \right)^{2}+16 x \,{\mathrm e}^{4 x} \ln \left(x \right)}\, dx\]"," ",0,"int(((4*x*exp(x)*ln(x)^2*exp(exp(x))-8*x*ln(x)^2+256*x*exp(x)^4*ln(x)-64*exp(x)^4)*ln((ln(x)^2*exp(exp(x))^2+(-4*x*ln(x)^2+32*exp(x)^4*ln(x))*exp(exp(x))+4*x^2*ln(x)^2-64*x*exp(x)^4*ln(x)+256*exp(x)^8)/ln(x)^2)+20*x*exp(x)*ln(x)^2*exp(exp(x))-40*x*ln(x)^2+1280*x*exp(x)^4*ln(x)-320*exp(x)^4)/(x*ln(x)^2*exp(exp(x))-2*x^2*ln(x)^2+16*x*exp(x)^4*ln(x)),x)","F"
6043,1,17,20,0.334000," ","int(((4*x^2+2)*exp(4)+2*x^3-12*x^2-6)/(2*x*exp(4)+x^2-6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-\ln \left(2 \,{\mathrm e}^{4}+x -6\right)+\ln \left(x \right)$&$17$\\ norman&$x^{2}-\ln \left(2 \,{\mathrm e}^{4}+x -6\right)+\ln \left(x \right)$&$17$\\ risch&$x^{2}-\ln \left(2 \,{\mathrm e}^{4}+x -6\right)+\ln \left(x \right)$&$17$\\ meijerg&$\left(4 \,{\mathrm e}^{4}-12\right) \left(2 \,{\mathrm e}^{4}-6\right) \left(\frac{x}{2 \,{\mathrm e}^{4}-6}-\ln \left(1+\frac{x}{2 \,{\mathrm e}^{4}-6}\right)\right)+8 \left({\mathrm e}^{4}-3\right)^{2} \left(-\frac{x \left(-\frac{3 x}{2 \left({\mathrm e}^{4}-3\right)}+6\right)}{12 \left({\mathrm e}^{4}-3\right)}+\ln \left(1+\frac{x}{2 \,{\mathrm e}^{4}-6}\right)\right)+\frac{{\mathrm e}^{4} \left(-\ln \left(1+\frac{x}{2 \,{\mathrm e}^{4}-6}\right)+\ln \left(x \right)-\ln \left(2\right)-\ln \left({\mathrm e}^{4}-3\right)\right)}{{\mathrm e}^{4}-3}-\frac{3 \left(-\ln \left(1+\frac{x}{2 \,{\mathrm e}^{4}-6}\right)+\ln \left(x \right)-\ln \left(2\right)-\ln \left({\mathrm e}^{4}-3\right)\right)}{{\mathrm e}^{4}-3}$&$153$\\ \hline \end{longtable}"," ",0,"x^2-ln(2*exp(4)+x-6)+ln(x)","A"
6044,1,20,20,0.383000," ","int((-4*ln(2)^4-x^2+4*x+6)/(x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \ln \left(2\right)^{4}-x^{2}-6}{x -2}$&$20$\\ default&$-x -\frac{10-4 \ln \left(2\right)^{4}}{x -2}$&$20$\\ risch&$-x +\frac{4 \ln \left(2\right)^{4}}{x -2}-\frac{10}{x -2}$&$23$\\ meijerg&$\frac{7 x}{2 \left(1-\frac{x}{2}\right)}-\frac{\ln \left(2\right)^{4} x}{1-\frac{x}{2}}-\frac{x \left(-\frac{3 x}{2}+6\right)}{3 \left(1-\frac{x}{2}\right)}$&$41$\\ \hline \end{longtable}"," ",0,"(4*ln(2)^4-x^2-6)/(x-2)","A"
6045,1,20,22,0.043000," ","int(((-6*exp(x)^2+36*exp(x)-54)*ln(x)^5-x*ln(3)*exp(x)*ln(x)-4*ln(3)*exp(x)+12*ln(3))/(6*x*exp(x)^2-36*exp(x)*x+54*x)/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\frac{\ln \left(3\right)}{6 \left({\mathrm e}^{x}-3\right) \ln \left(x \right)^{4}}$&$20$\\ \hline \end{longtable}"," ",0,"-ln(x)+1/6*ln(3)/(exp(x)-3)/ln(x)^4","A"
6046,1,12,14,0.021000," ","int((-ln(x)-4)/(ln(x)^2+(-2*x+10)*ln(x)+x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{-\ln \left(x \right)+x -5}$&$12$\\ norman&$\frac{5+\ln \left(x \right)}{-\ln \left(x \right)+x -5}$&$15$\\ \hline \end{longtable}"," ",0,"x/(-ln(x)+x-5)","A"
6047,1,18,18,0.120000," ","int(-4*exp(x)*exp(4*exp(x)+3)-1/144*exp(x)+143/144,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{143 x}{144}-{\mathrm e}^{4 \,{\mathrm e}^{x}+3}-\frac{{\mathrm e}^{x}}{144}$&$18$\\ norman&$\frac{143 x}{144}-{\mathrm e}^{4 \,{\mathrm e}^{x}+3}-\frac{{\mathrm e}^{x}}{144}$&$18$\\ risch&$\frac{143 x}{144}-{\mathrm e}^{4 \,{\mathrm e}^{x}+3}-\frac{{\mathrm e}^{x}}{144}$&$18$\\ derivativedivides&$\frac{143 \ln \left(4 \,{\mathrm e}^{x}\right)}{144}-\frac{{\mathrm e}^{x}}{144}-\frac{1}{192}-{\mathrm e}^{4 \,{\mathrm e}^{x}+3}$&$23$\\ \hline \end{longtable}"," ",0,"143/144*x-exp(4*exp(x)+3)-1/144*exp(x)","A"
6048,1,9,16,0.037000," ","int(1/5*(-x-1)*exp(x)*exp(exp(x)*x)*exp(exp(exp(x)*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x} x}}}{5}$&$9$\\ risch&$-\frac{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x} x}}}{5}$&$9$\\ \hline \end{longtable}"," ",0,"-1/5*exp(exp(exp(x)*x))","A"
6049,1,27,20,0.289000," ","int((ln(3)-2)/(x*ln(3)-x^2-2*x)/ln(-3*x/((ln(3)-x-2)*ln(5)+5*ln(3)-5*x-10)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(-\frac{3 x}{\left(\ln \left(3\right)-x -2\right) \ln \left(5\right)+5 \ln \left(3\right)-5 x -10}\right)\right)$&$27$\\ risch&$\ln \left(\ln \left(-\frac{3 x}{\left(\ln \left(3\right)-x -2\right) \ln \left(5\right)+5 \ln \left(3\right)-5 x -10}\right)\right)$&$27$\\ default&$-\frac{3 \left(\ln \left(3\right)-2\right)^{2} \left(-\frac{5 \ln \left(\ln \left(\frac{3}{5+\ln \left(5\right)}+\frac{3 \ln \left(3\right)-6}{\left(2+x -\ln \left(3\right)\right) \left(5+\ln \left(5\right)\right)}\right)\right)}{3 \left(\ln \left(3\right)^{2}-4 \ln \left(3\right)+4\right)}-\frac{\ln \left(5\right) \ln \left(\ln \left(\frac{3}{5+\ln \left(5\right)}+\frac{3 \ln \left(3\right)-6}{\left(2+x -\ln \left(3\right)\right) \left(5+\ln \left(5\right)\right)}\right)\right)}{3 \left(\ln \left(3\right)^{2}-4 \ln \left(3\right)+4\right)}\right)}{5+\ln \left(5\right)}$&$110$\\ derivativedivides&$\frac{3 \left(2-\ln \left(3\right)\right) \left(\ln \left(3\right)-2\right) \left(-\frac{5 \ln \left(\ln \left(\frac{3}{5+\ln \left(5\right)}+\frac{3 \ln \left(3\right)-6}{\left(2+x -\ln \left(3\right)\right) \left(5+\ln \left(5\right)\right)}\right)\right)}{3 \left(\ln \left(3\right)^{2}-4 \ln \left(3\right)+4\right)}-\frac{\ln \left(5\right) \ln \left(\ln \left(\frac{3}{5+\ln \left(5\right)}+\frac{3 \ln \left(3\right)-6}{\left(2+x -\ln \left(3\right)\right) \left(5+\ln \left(5\right)\right)}\right)\right)}{3 \left(\ln \left(3\right)^{2}-4 \ln \left(3\right)+4\right)}\right)}{5+\ln \left(5\right)}$&$114$\\ \hline \end{longtable}"," ",0,"ln(ln(-3*x/((ln(3)-x-2)*ln(5)+5*ln(3)-5*x-10)))","A"
6050,1,31,22,0.167000," ","int((8*x^3*exp(x)^4+(16*x^4+16*x^2-8*x-16)*exp(x)^2+8*x^5+16*x^2-24*x)*exp(((8*x^3-8*x^2)*exp(x)^2+8*x^4-8*x^3-8*x+8)/(exp(x)^2*x^2+x^3))/(x^3*exp(x)^4+2*exp(x)^2*x^4+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{8 \left(x -1\right) \left({\mathrm e}^{2 x} x^{2}+x^{3}-1\right)}{x^{2} \left({\mathrm e}^{2 x}+x \right)}}$&$31$\\ \hline \end{longtable}"," ",0,"exp(8*(x-1)*(exp(2*x)*x^2+x^3-1)/x^2/(exp(2*x)+x))","A"
6051,1,179,29,0.334000," ","int((((x^2-2*x+1)*exp(x*exp(exp(1))/(x-1))^2-3*x^2+6*x-3)*ln(exp(x*exp(exp(1))/(x-1))^4-6*exp(x*exp(exp(1))/(x-1))^2+9)+((-4*x-8)*exp(exp(1))*ln(2/5+1/5*x)+(-8*x-16)*exp(exp(1)))*exp(x*exp(exp(1))/(x-1))^2)/((x^3-3*x+2)*exp(x*exp(exp(1))/(x-1))^2-3*x^3+9*x-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(\frac{2}{5}+\frac{x}{5}\right) \ln \left({\mathrm e}^{\frac{2 x \,{\mathrm e}^{{\mathrm e}}}{x -1}}-3\right)-\frac{i \pi  \ln \left(-x -2\right) \mathrm{csgn}\left(i \left({\mathrm e}^{\frac{2 x \,{\mathrm e}^{{\mathrm e}}}{x -1}}-3\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{\frac{2 x \,{\mathrm e}^{{\mathrm e}}}{x -1}}-3\right)^{2}\right)}{2}+i \pi  \ln \left(-x -2\right) \mathrm{csgn}\left(i \left({\mathrm e}^{\frac{2 x \,{\mathrm e}^{{\mathrm e}}}{x -1}}-3\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{\frac{2 x \,{\mathrm e}^{{\mathrm e}}}{x -1}}-3\right)^{2}\right)^{2}-\frac{i \pi  \ln \left(-x -2\right) \mathrm{csgn}\left(i \left({\mathrm e}^{\frac{2 x \,{\mathrm e}^{{\mathrm e}}}{x -1}}-3\right)^{2}\right)^{3}}{2}+4 \ln \left({\mathrm e}^{\frac{2 x \,{\mathrm e}^{{\mathrm e}}}{x -1}}-3\right)-8 \,{\mathrm e}^{{\mathrm e}}$&$179$\\ \hline \end{longtable}"," ",0,"2*ln(2/5+1/5*x)*ln(exp(2*x*exp(exp(1))/(x-1))-3)-1/2*I*Pi*ln(-x-2)*csgn(I*(exp(2*x*exp(exp(1))/(x-1))-3))^2*csgn(I*(exp(2*x*exp(exp(1))/(x-1))-3)^2)+I*Pi*ln(-x-2)*csgn(I*(exp(2*x*exp(exp(1))/(x-1))-3))*csgn(I*(exp(2*x*exp(exp(1))/(x-1))-3)^2)^2-1/2*I*Pi*ln(-x-2)*csgn(I*(exp(2*x*exp(exp(1))/(x-1))-3)^2)^3+4*ln(exp(2*x*exp(exp(1))/(x-1))-3)-8*exp(exp(1))","C"
6052,1,27,29,0.324000," ","int(((-8*x+2)*exp(x)^2*exp(exp(x)^2)+(-8*x^2+2*x)*exp(2)+12*x^3-3*x^2-4)/(4*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{3}-x^{2} {\mathrm e}^{2}-{\mathrm e}^{{\mathrm e}^{2 x}}-\ln \left(4 x -1\right)$&$27$\\ risch&$x^{3}-x^{2} {\mathrm e}^{2}-{\mathrm e}^{{\mathrm e}^{2 x}}-\ln \left(4 x -1\right)$&$27$\\ \hline \end{longtable}"," ",0,"x^3-x^2*exp(2)-exp(exp(x)^2)-ln(4*x-1)","A"
6053,1,29,22,0.036000," ","int((-625*x^8+1875*x^7-1875*x^6+1875*x^5-x^2-10*x-3)/(625*x^8-625*x^7+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\frac{3}{x}-10 \ln \left(x \right)+2 \ln \left(625 x^{6}-625 x^{5}+1\right)$&$29$\\ risch&$-x +\frac{3}{x}-10 \ln \left(x \right)+2 \ln \left(625 x^{6}-625 x^{5}+1\right)$&$29$\\ norman&$\frac{-x^{2}+3}{x}-10 \ln \left(x \right)+2 \ln \left(625 x^{6}-625 x^{5}+1\right)$&$32$\\ \hline \end{longtable}"," ",0,"-x+3/x-10*ln(x)+2*ln(625*x^6-625*x^5+1)","A"
6054,1,28,27,0.189000," ","int((-8*x*ln(7)^2*ln(4/x)^2+(16*x^2-72*x)*ln(7)*ln(4/x)-4*x*ln(7)-8*x^3+68*x^2-160*x)/(ln(7)^2*ln(4/x)^2+(-2*x+8)*ln(7)*ln(4/x)+x^2-8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x^{2}-\frac{4 x^{2}}{4+\ln \left(7\right) \ln \left(\frac{4}{x}\right)-x}$&$28$\\ norman&$\frac{-20 x^{2}+4 x^{3}-4 \ln \left(7\right) \ln \left(\frac{4}{x}\right) x^{2}}{4+\ln \left(7\right) \ln \left(\frac{4}{x}\right)-x}$&$42$\\ \hline \end{longtable}"," ",0,"-4*x^2-4*x^2/(4+ln(7)*ln(4/x)-x)","A"
6055,1,36,23,0.305000," ","int((((-3*x^3-3*x^2+18*x)*ln(x)+3*x^2+9*x)*ln(ln(x))*ln(ln(ln(x)))+(((-3*x^3-3*x^2+18*x)*ln(x)+3*x^2+9*x)*ln(3+x)+(3*x^4-24*x^2)*ln(x)-3*x^3-9*x^2)*ln(ln(x))+3*x^2+9*x)/(3+x)/exp(x)/ln(ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x^{2} {\mathrm e}^{-x} \ln \left(x \right) \ln \left(\ln \left(\ln \left(x \right)\right)\right)-3 x^{2} \ln \left(x \right) \left(-\ln \left(3+x \right)+x \right) {\mathrm e}^{-x}$&$36$\\ \hline \end{longtable}"," ",0,"3*x^2*exp(-x)*ln(x)*ln(ln(ln(x)))-3*x^2*ln(x)*(-ln(3+x)+x)*exp(-x)","A"
6056,1,22,21,0.039000," ","int((8*x^3+23*x^2+23)/(4*x^4+23*x^3-10*x^2-23*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)+\ln \left(4 x^{3}+23 x^{2}-10 x -23\right)$&$22$\\ norman&$-\ln \left(x \right)+\ln \left(4 x^{3}+23 x^{2}-10 x -23\right)$&$22$\\ risch&$-\ln \left(x \right)+\ln \left(4 x^{3}+23 x^{2}-10 x -23\right)$&$22$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(4*x^3+23*x^2-10*x-23)","A"
6057,1,12,18,0.047000," ","int(((x-1)*exp(x)*exp(exp(x)/x)+2*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +{\mathrm e}^{\frac{{\mathrm e}^{x}}{x}}$&$12$\\ norman&$\frac{x \,{\mathrm e}^{\frac{{\mathrm e}^{x}}{x}}+2 x^{2}}{x}$&$20$\\ \hline \end{longtable}"," ",0,"2*x+exp(exp(x)/x)","A"
6058,1,290,26,0.273000," ","int(((((2*x^2+8*x)*exp(x)-x-4)*ln(4*x+16)-2*exp(x)*x^2+x)*ln(1/2*(10*exp(x)*x-5)/exp(x)/x)+(-x^2-5*x-4)*ln(4*x+16))/((2*x^4+8*x^3)*exp(x)-x^3-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(4 x +16\right) \ln \left({\mathrm e}^{x}\right)}{x}+\frac{\ln \left(4 x +16\right) \left(-i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x} x -\frac{1}{2}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x -\frac{1}{2}\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x} x -\frac{1}{2}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x -\frac{1}{2}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x -\frac{1}{2}\right)\right)^{3}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x -\frac{1}{2}\right)\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x -\frac{1}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x -\frac{1}{2}\right) {\mathrm e}^{-x}}{x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x} x -\frac{1}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x -\frac{1}{2}\right) {\mathrm e}^{-x}}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x -\frac{1}{2}\right) {\mathrm e}^{-x}}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x -\frac{1}{2}\right) {\mathrm e}^{-x}}{x}\right)^{3}-2 \ln \left(5\right)+2 \ln \left(x \right)-2 \ln \left({\mathrm e}^{x} x -\frac{1}{2}\right)\right)}{2 x}$&$290$\\ \hline \end{longtable}"," ",0,"1/x*ln(4*x+16)*ln(exp(x))+1/2*ln(4*x+16)*(-I*Pi*csgn(I*(exp(x)*x-1/2))*csgn(I*exp(-x)*(exp(x)*x-1/2))^2+I*Pi*csgn(I*(exp(x)*x-1/2))*csgn(I*exp(-x)*(exp(x)*x-1/2))*csgn(I*exp(-x))+I*Pi*csgn(I*exp(-x)*(exp(x)*x-1/2))^3-I*Pi*csgn(I*exp(-x)*(exp(x)*x-1/2))^2*csgn(I*exp(-x))-I*Pi*csgn(I*exp(-x)*(exp(x)*x-1/2))*csgn(I/x*(exp(x)*x-1/2)*exp(-x))^2+I*Pi*csgn(I*exp(-x)*(exp(x)*x-1/2))*csgn(I/x*(exp(x)*x-1/2)*exp(-x))*csgn(I/x)-I*Pi*csgn(I/x*(exp(x)*x-1/2)*exp(-x))^2*csgn(I/x)+I*Pi*csgn(I/x*(exp(x)*x-1/2)*exp(-x))^3-2*ln(5)+2*ln(x)-2*ln(exp(x)*x-1/2))/x","C"
6059,1,21,24,0.452000," ","int(((x^2+16*x+55)*ln(3*x^2/(2*x^2+32*x+110))+16*x+110)/(x^2+16*x+55),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\frac{3 x^{2}}{2 x^{2}+32 x +110}\right)$&$21$\\ risch&$x \ln \left(\frac{3 x^{2}}{2 x^{2}+32 x +110}\right)$&$21$\\ default&$x \ln \left(3\right)-x \ln \left(2\right)+x \ln \left(\frac{x^{2}}{x^{2}+16 x +55}\right)$&$28$\\ \hline \end{longtable}"," ",0,"x*ln(3*x^2/(2*x^2+32*x+110))","A"
6060,1,18,25,0.168000," ","int(((2*x^3+4)*exp(2*x-5)-x^3-4*x)/(x^3*exp(2*x-5)-x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{2}{x^{2}}+\ln \left(x -{\mathrm e}^{2 x -5}\right)$&$18$\\ risch&$-\frac{2}{x^{2}}+5+\ln \left({\mathrm e}^{2 x -5}-x \right)$&$19$\\ \hline \end{longtable}"," ",0,"-2/x^2+ln(x-exp(2*x-5))","A"
6061,1,299,19,0.191000," ","int(((exp(x)*x+x)*ln(x)^2-40*ln(2))/((exp(x)*x-8*x*ln(2)+x^2+x)*ln(x)^2+40*x*ln(2)*ln(x))/ln(((exp(x)-8*ln(2)+x+1)*ln(x)+40*ln(2))/ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\left(\ln \left(x \right)-5\right) \ln \left(2\right)-\frac{x \ln \left(x \right)}{8}-\frac{{\mathrm e}^{x} \ln \left(x \right)}{8}-\frac{\ln \left(x \right)}{8}\right)+\frac{i \left(-2 \pi  \mathrm{csgn}\left(\frac{i \left(-\left(\ln \left(x \right)-5\right) \ln \left(2\right)+\frac{x \ln \left(x \right)}{8}+\frac{{\mathrm e}^{x} \ln \left(x \right)}{8}+\frac{\ln \left(x \right)}{8}\right)}{\ln \left(x \right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(-\left(\ln \left(x \right)-5\right) \ln \left(2\right)+\frac{x \ln \left(x \right)}{8}+\frac{{\mathrm e}^{x} \ln \left(x \right)}{8}+\frac{\ln \left(x \right)}{8}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\left(\ln \left(x \right)-5\right) \ln \left(2\right)+\frac{x \ln \left(x \right)}{8}+\frac{{\mathrm e}^{x} \ln \left(x \right)}{8}+\frac{\ln \left(x \right)}{8}\right)}{\ln \left(x \right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(-\left(\ln \left(x \right)-5\right) \ln \left(2\right)+\frac{x \ln \left(x \right)}{8}+\frac{{\mathrm e}^{x} \ln \left(x \right)}{8}+\frac{\ln \left(x \right)}{8}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\left(\ln \left(x \right)-5\right) \ln \left(2\right)+\frac{x \ln \left(x \right)}{8}+\frac{{\mathrm e}^{x} \ln \left(x \right)}{8}+\frac{\ln \left(x \right)}{8}\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-\pi  \mathrm{csgn}\left(\frac{i \left(-\left(\ln \left(x \right)-5\right) \ln \left(2\right)+\frac{x \ln \left(x \right)}{8}+\frac{{\mathrm e}^{x} \ln \left(x \right)}{8}+\frac{\ln \left(x \right)}{8}\right)}{\ln \left(x \right)}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \left(-\left(\ln \left(x \right)-5\right) \ln \left(2\right)+\frac{x \ln \left(x \right)}{8}+\frac{{\mathrm e}^{x} \ln \left(x \right)}{8}+\frac{\ln \left(x \right)}{8}\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-6 i \ln \left(2\right)+2 i \ln \left(\ln \left(x \right)\right)+2 \pi \right)}{2}\right)$&$299$\\ \hline \end{longtable}"," ",0,"ln(ln((ln(x)-5)*ln(2)-1/8*x*ln(x)-1/8*exp(x)*ln(x)-1/8*ln(x))+1/2*I*(-2*Pi*csgn(I*(-(ln(x)-5)*ln(2)+1/8*x*ln(x)+1/8*exp(x)*ln(x)+1/8*ln(x))/ln(x))^2-Pi*csgn(I*(-(ln(x)-5)*ln(2)+1/8*x*ln(x)+1/8*exp(x)*ln(x)+1/8*ln(x)))*csgn(I*(-(ln(x)-5)*ln(2)+1/8*x*ln(x)+1/8*exp(x)*ln(x)+1/8*ln(x))/ln(x))^2-Pi*csgn(I*(-(ln(x)-5)*ln(2)+1/8*x*ln(x)+1/8*exp(x)*ln(x)+1/8*ln(x)))*csgn(I*(-(ln(x)-5)*ln(2)+1/8*x*ln(x)+1/8*exp(x)*ln(x)+1/8*ln(x))/ln(x))*csgn(I/ln(x))-Pi*csgn(I*(-(ln(x)-5)*ln(2)+1/8*x*ln(x)+1/8*exp(x)*ln(x)+1/8*ln(x))/ln(x))^3+Pi*csgn(I*(-(ln(x)-5)*ln(2)+1/8*x*ln(x)+1/8*exp(x)*ln(x)+1/8*ln(x))/ln(x))^2*csgn(I/ln(x))-6*I*ln(2)+2*I*ln(ln(x))+2*Pi))","C"
6062,1,12,11,0.028000," ","int((ln(x)*ln(ln(x))-2*x*ln(x)+1)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+x \ln \left(\ln \left(x \right)\right)$&$12$\\ norman&$-x^{2}+x \ln \left(\ln \left(x \right)\right)$&$12$\\ risch&$-x^{2}+x \ln \left(\ln \left(x \right)\right)$&$12$\\ \hline \end{longtable}"," ",0,"-x^2+x*ln(ln(x))","A"
6063,1,522,25,0.310000," ","int((((8*x*exp(2+x)+2*x^4)*ln((4*exp(2+x)+x^3)/x^2/exp(2+x))+(-8*x^2-16*x-16)*exp(2+x)-2*x^5-6*x^4+2*x^3)*ln(ln((4*exp(2+x)+x^3)/x^2/exp(2+x))-x-1)+(8*x^2*exp(2+x)+2*x^5)*ln((4*exp(2+x)+x^3)/x^2/exp(2+x))+(-8*x^3-16*x^2-16*x)*exp(2+x)-2*x^6-6*x^5+2*x^4)/((4*x*exp(2+x)+x^4)*ln((4*exp(2+x)+x^3)/x^2/exp(2+x))+(-4*x^2-4*x)*exp(2+x)-x^5-x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+2 x \ln \left(-2 \ln \left(x \right)-\ln \left({\mathrm e}^{2+x}\right)+\ln \left(4 \,{\mathrm e}^{2+x}+x^{3}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x -2} \left(4 \,{\mathrm e}^{2+x}+x^{3}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{-x -2} \left(4 \,{\mathrm e}^{2+x}+x^{3}\right)\right)+\mathrm{csgn}\left(i {\mathrm e}^{-x -2}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{-x -2} \left(4 \,{\mathrm e}^{2+x}+x^{3}\right)\right)+\mathrm{csgn}\left(i \left(4 \,{\mathrm e}^{2+x}+x^{3}\right)\right)\right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(4 \,{\mathrm e}^{2+x}+x^{3}\right) {\mathrm e}^{-x -2}}{x^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i \left(4 \,{\mathrm e}^{2+x}+x^{3}\right) {\mathrm e}^{-x -2}}{x^{2}}\right)+\mathrm{csgn}\left(\frac{i}{x^{2}}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(4 \,{\mathrm e}^{2+x}+x^{3}\right) {\mathrm e}^{-x -2}}{x^{2}}\right)+\mathrm{csgn}\left(i {\mathrm e}^{-x -2} \left(4 \,{\mathrm e}^{2+x}+x^{3}\right)\right)\right)}{2}-x -1\right)+\ln \left(-2 \ln \left(x \right)-\ln \left({\mathrm e}^{2+x}\right)+\ln \left(4 \,{\mathrm e}^{2+x}+x^{3}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x -2} \left(4 \,{\mathrm e}^{2+x}+x^{3}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{-x -2} \left(4 \,{\mathrm e}^{2+x}+x^{3}\right)\right)+\mathrm{csgn}\left(i {\mathrm e}^{-x -2}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{-x -2} \left(4 \,{\mathrm e}^{2+x}+x^{3}\right)\right)+\mathrm{csgn}\left(i \left(4 \,{\mathrm e}^{2+x}+x^{3}\right)\right)\right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(4 \,{\mathrm e}^{2+x}+x^{3}\right) {\mathrm e}^{-x -2}}{x^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i \left(4 \,{\mathrm e}^{2+x}+x^{3}\right) {\mathrm e}^{-x -2}}{x^{2}}\right)+\mathrm{csgn}\left(\frac{i}{x^{2}}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(4 \,{\mathrm e}^{2+x}+x^{3}\right) {\mathrm e}^{-x -2}}{x^{2}}\right)+\mathrm{csgn}\left(i {\mathrm e}^{-x -2} \left(4 \,{\mathrm e}^{2+x}+x^{3}\right)\right)\right)}{2}-x -1\right)^{2}$&$522$\\ \hline \end{longtable}"," ",0,"x^2+2*x*ln(-2*ln(x)-ln(exp(2+x))+ln(4*exp(2+x)+x^3)-1/2*I*Pi*csgn(I*exp(-x-2)*(4*exp(2+x)+x^3))*(-csgn(I*exp(-x-2)*(4*exp(2+x)+x^3))+csgn(I*exp(-x-2)))*(-csgn(I*exp(-x-2)*(4*exp(2+x)+x^3))+csgn(I*(4*exp(2+x)+x^3)))+1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I/x^2*(4*exp(2+x)+x^3)*exp(-x-2))*(-csgn(I/x^2*(4*exp(2+x)+x^3)*exp(-x-2))+csgn(I/x^2))*(-csgn(I/x^2*(4*exp(2+x)+x^3)*exp(-x-2))+csgn(I*exp(-x-2)*(4*exp(2+x)+x^3)))-x-1)+ln(-2*ln(x)-ln(exp(2+x))+ln(4*exp(2+x)+x^3)-1/2*I*Pi*csgn(I*exp(-x-2)*(4*exp(2+x)+x^3))*(-csgn(I*exp(-x-2)*(4*exp(2+x)+x^3))+csgn(I*exp(-x-2)))*(-csgn(I*exp(-x-2)*(4*exp(2+x)+x^3))+csgn(I*(4*exp(2+x)+x^3)))+1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I/x^2*(4*exp(2+x)+x^3)*exp(-x-2))*(-csgn(I/x^2*(4*exp(2+x)+x^3)*exp(-x-2))+csgn(I/x^2))*(-csgn(I/x^2*(4*exp(2+x)+x^3)*exp(-x-2))+csgn(I*exp(-x-2)*(4*exp(2+x)+x^3)))-x-1)^2","C"
6064,1,26,26,0.081000," ","int(((-3*exp(x)*x-3)*exp(-exp(x)+x+5-ln(3))-x^2)/(3*x*exp(-exp(x)+x+5-ln(3))+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -\ln \left(x \right)+\ln \left(3 \,{\mathrm e}^{-{\mathrm e}^{x}+x +5-\ln \left(3\right)}+x \right)$&$26$\\ risch&$-\ln \left(x \right)-x -5+\ln \left(3\right)+\ln \left(\frac{x}{3}+\frac{{\mathrm e}^{x -{\mathrm e}^{x}+5}}{3}\right)$&$27$\\ \hline \end{longtable}"," ",0,"-x-ln(x)+ln(3*exp(-exp(x)+x+5-ln(3))+x)","A"
6065,1,70,29,0.087000," ","int(((6*x*exp(x)*ln(x)^2-12*x^2*exp(x)*ln(x)+(8*x^3-2*x^2)*exp(x))*exp(exp(x))*exp(exp(exp(x)))+6*ln(x)^2+(-24*x+12)*ln(x)+24*x^2-16*x)*exp(exp(exp(exp(x))))-12*x*ln(x)^2+(36*x^2-12*x)*ln(x)-32*x^3+18*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \left(4 x^{2}-6 x \ln \left(x \right)+3 \ln \left(x \right)^{2}-x \right) {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}}-6 x^{2} \ln \left(x \right)^{2}+6 x^{2} \ln \left(x \right)+\left(12 x^{3}-6 x^{2}\right) \ln \left(x \right)+2 x^{3}-8 x^{4}$&$70$\\ \hline \end{longtable}"," ",0,"2*x*(4*x^2-6*x*ln(x)+3*ln(x)^2-x)*exp(exp(exp(exp(x))))-6*x^2*ln(x)^2+6*x^2*ln(x)+(12*x^3-6*x^2)*ln(x)+2*x^3-8*x^4","B"
6066,1,54,33,0.068000," ","int(((2*x^2-2*x)*ln(x)^4+(8*x^4-16*x^3+8*x^2)*ln(x)^3+((-4*x^3+20*x^2-16*x)*ln(3)+12*x^6-36*x^5+36*x^4-12*x^3)*ln(x)^2+((-8*x^5+48*x^4-72*x^3+32*x^2)*ln(3)+8*x^8-32*x^7+48*x^6-32*x^5+8*x^4-20*x^2+10*x-10)*ln(x)+(2*x^4-18*x^3+48*x^2-32*x)*ln(3)^2+(-4*x^7+28*x^6-60*x^5+52*x^4-16*x^3+5*x)*ln(3)+2*x^10-10*x^9+20*x^8-20*x^7+10*x^6-2*x^5-20*x^4+30*x^3-20*x^2+10*x)/(x*ln(x)^4+(4*x^3-4*x^2)*ln(x)^3+((-2*x^2+8*x)*ln(3)+6*x^5-12*x^4+6*x^3)*ln(x)^2+((-4*x^4+20*x^3-16*x^2)*ln(3)+4*x^7-12*x^6+12*x^5-4*x^4)*ln(x)+(x^3-8*x^2+16*x)*ln(3)^2+(-2*x^6+12*x^5-18*x^4+8*x^3)*ln(3)+x^9-4*x^8+6*x^7-4*x^6+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-2 x -\frac{5}{-x^{4}+2 x^{3}-2 x^{2} \ln \left(x \right)+x \ln \left(3\right)-x^{2}+2 x \ln \left(x \right)-\ln \left(x \right)^{2}-4 \ln \left(3\right)}$&$54$\\ \hline \end{longtable}"," ",0,"x^2-2*x-5/(-x^4+2*x^3-2*x^2*ln(x)+x*ln(3)-x^2+2*x*ln(x)-ln(x)^2-4*ln(3))","A"
6067,1,21,17,0.119000," ","int(((x^2*ln(x)+4*x^2-36*x)*ln((x*ln(x)+4*x-36)/x)+x^2+31*x-180)/((x^3-5*x^2)*ln(x)+4*x^3-56*x^2+180*x)/ln((x*ln(x)+4*x-36)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x -5\right)+\ln \left(\ln \left(\frac{x \ln \left(x \right)+4 x -36}{x}\right)\right)$&$21$\\ risch&$\ln \left(x -5\right)+\ln \left(\ln \left(-36+\left(\ln \left(x \right)+4\right) x \right)+\frac{i \left(\pi  \,\mathrm{csgn}\left(i \left(-36+\left(\ln \left(x \right)+4\right) x \right)\right) \mathrm{csgn}\left(\frac{i \left(-36+\left(\ln \left(x \right)+4\right) x \right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(-36+\left(\ln \left(x \right)+4\right) x \right)\right) \mathrm{csgn}\left(\frac{i \left(-36+\left(\ln \left(x \right)+4\right) x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)-\pi  \mathrm{csgn}\left(\frac{i \left(-36+\left(\ln \left(x \right)+4\right) x \right)}{x}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \left(-36+\left(\ln \left(x \right)+4\right) x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+2 i \ln \left(x \right)\right)}{2}\right)$&$140$\\ \hline \end{longtable}"," ",0,"ln(x-5)+ln(ln((x*ln(x)+4*x-36)/x))","A"
6068,1,31,26,0.042000," ","int((-8*x+6)*exp(-2*x^2+3*x)^2+(4*(-8*x+6)*ln(2)-88*x+66)*exp(-2*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-4 x^{2}+6 x}+\left(8 \ln \left(2\right)+22\right) {\mathrm e}^{-2 x^{2}+3 x}$&$31$\\ risch&${\mathrm e}^{-2 x \left(2 x -3\right)}+8 \,{\mathrm e}^{-x \left(2 x -3\right)} \ln \left(2\right)+22 \,{\mathrm e}^{-x \left(2 x -3\right)}$&$35$\\ default&${\mathrm e}^{-4 x^{2}+6 x}+22 \,{\mathrm e}^{-2 x^{2}+3 x}+8 \ln \left(2\right) {\mathrm e}^{-2 x^{2}+3 x}$&$40$\\ \hline \end{longtable}"," ",0,"exp(-2*x^2+3*x)^2+(8*ln(2)+22)*exp(-2*x^2+3*x)","A"
6069,1,37,26,0.051000," ","int(1/32*(((184*x+23)*ln(x)+1472*x^2-2024*x-276)*exp(1/16*ln(x)^2+1/16*(16*x-24)*ln(x)+4*x^2-12*x+9)+(-368*x^2-184*x)*exp(x^2+x)+184*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{23 x}{4}-\frac{23 \,{\mathrm e}^{\left(x +1\right) x}}{4}+\frac{23 x^{x -\frac{3}{2}} {\mathrm e}^{\frac{\ln \left(x \right)^{2}}{16}+9+4 x^{2}-12 x}}{4}$&$37$\\ default&$\frac{23 x}{4}-\frac{23 \,{\mathrm e}^{x^{2}+x}}{4}+\frac{23 \,{\mathrm e}^{\frac{\ln \left(x \right)^{2}}{16}+\frac{\left(16 x -24\right) \ln \left(x \right)}{16}+4 x^{2}-12 x +9}}{4}$&$41$\\ \hline \end{longtable}"," ",0,"23/4*x-23/4*exp((x+1)*x)+23/4*x^(x-3/2)*exp(1/16*ln(x)^2+9+4*x^2-12*x)","A"
6070,1,22,16,0.046000," ","int((-exp(x)*x-1)*exp(exp(x))+ln(x^3)-4*x-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-6 x -x \,{\mathrm e}^{{\mathrm e}^{x}}-2 x^{2}+x \ln \left(x^{3}\right)$&$22$\\ norman&$-6 x -x \,{\mathrm e}^{{\mathrm e}^{x}}-2 x^{2}+x \ln \left(x^{3}\right)$&$22$\\ risch&$-6 x -x \,{\mathrm e}^{{\mathrm e}^{x}}-2 x^{2}+x \ln \left(x^{3}\right)$&$22$\\ \hline \end{longtable}"," ",0,"-6*x-x*exp(exp(x))-2*x^2+x*ln(x^3)","A"
6071,1,23,23,0.065000," ","int(((x^3-51*x^2+675*x-625)*exp(x)*ln(x)^2+((2*x^2-100*x+1250)*exp(x)+75*x^2)*ln(x)-3*x^3+75*x^2)/(3*x^4-150*x^3+1875*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{x} \ln \left(x \right)^{2}}{3 x}-\frac{\ln \left(x \right) x}{x -25}$&$23$\\ risch&$\frac{{\mathrm e}^{x} \ln \left(x \right)^{2}}{3 x}-\frac{25 \ln \left(x \right)}{x -25}-\ln \left(x \right)$&$26$\\ \hline \end{longtable}"," ",0,"1/3*exp(x)*ln(x)^2/x-ln(x)*x/(x-25)","A"
6072,1,27,27,0.377000," ","int(((-2*x^2-2*x)*ln(x+1)+(2*x^2+2*x)*ln(2)-3*x^4-3*x^3+12*x^2-2*x-12)/(x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{6+\left(-10-2 \ln \left(2\right)\right) x -3 x^{3}+2 \ln \left(x +1\right) x}{x^{2}}$&$27$\\ risch&$\frac{2 \ln \left(x +1\right)}{x}-\frac{3 x^{3}+2 x \ln \left(2\right)+10 x -6}{x^{2}}$&$31$\\ derivativedivides&$-\frac{2 \ln \left(2\right)}{x}+\frac{2 \ln \left(x +1\right) \left(x +1\right)}{x}-3 x -3-2 \ln \left(x +1\right)+\frac{6}{x^{2}}-\frac{10}{x}$&$41$\\ default&$-\frac{2 \ln \left(2\right)}{x}+\frac{2 \ln \left(x +1\right) \left(x +1\right)}{x}-3 x -3-2 \ln \left(x +1\right)+\frac{6}{x^{2}}-\frac{10}{x}$&$41$\\ \hline \end{longtable}"," ",0,"(6+(-10-2*ln(2))*x-3*x^3+2*ln(x+1)*x)/x^2","A"
6073,1,44,26,0.064000," ","int(1/2*(((16*x^2*exp(4*x^2)-2)*ln(x)+(8*x^3-160*x^2)*exp(4*x^2)+22)*exp(exp(4*x^2))-6*ln(x)^2+72*ln(x)-x^2+x-60)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \ln \left(x \right)^{2}}{x}-\frac{30 \ln \left(x \right)}{x}+\frac{\ln \left(x \right)}{2}-\frac{x}{2}+\frac{\left(x -20+2 \ln \left(x \right)\right) {\mathrm e}^{{\mathrm e}^{4 x^{2}}}}{2 x}$&$44$\\ \hline \end{longtable}"," ",0,"3*ln(x)^2/x-30*ln(x)/x+1/2*ln(x)-1/2*x+1/2/x*(x-20+2*ln(x))*exp(exp(4*x^2))","A"
6074,1,21,21,0.050000," ","int(((2*x^3+x^2)*exp(9)+4*x^5+x^2-5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{4}+x^{2} {\mathrm e}^{9}+x \,{\mathrm e}^{9}+x +\frac{5}{x}$&$21$\\ risch&$x^{4}+x^{2} {\mathrm e}^{9}+x \,{\mathrm e}^{9}+x +\frac{5}{x}$&$21$\\ norman&$\frac{x^{5}+5+x^{3} {\mathrm e}^{9}+\left({\mathrm e}^{9}+1\right) x^{2}}{x}$&$24$\\ gosper&$\frac{x^{5}+x^{3} {\mathrm e}^{9}+x^{2} {\mathrm e}^{9}+x^{2}+5}{x}$&$25$\\ \hline \end{longtable}"," ",0,"x^4+x^2*exp(9)+x*exp(9)+x+5/x","A"
6075,1,243,27,0.182000," ","int((10251562500+655560624846*x+6561*x^17+1653372*x^13+1822500*x^14+32805000*x^12+199763982*x^11+157464*x^15+309318750*x^10+2315325870*x^9+19129907088*x^7+11418525000*x^8+421106423750*x^4+537220650631*x^3+956153602500*x^2+66719025000*x^6+300666345007*x^5+(13608*x^17+326592*x^15+1350000*x^14+3429216*x^13+24300000*x^12+48700296*x^11+191625000*x^10+414657360*x^9+958687500*x^8+1703927664*x^7+3215250000*x^6+3315266496*x^5+6271425000*x^4+2516210568*x^3+5287275000*x^2+89282088*x+379687500)*ln(x)^3+(20412*x^17+489888*x^15+3037500*x^14+5143824*x^13+54675000*x^12+157425444*x^11+452250000*x^10+1634486040*x^9+3671500000*x^8+8088703996*x^7+16890562500*x^6+27268993494*x^5+33720862500*x^4+45764940852*x^3+23856525000*x^2+13317516882*x+3417187500)*ln(x)^2+(17496*x^17+419904*x^15+3645000*x^14+4408992*x^13+65610000*x^12+279578952*x^11+576450000*x^10+3136702320*x^9+9979237500*x^8+19766210568*x^7+54772425000*x^6+109725878352*x^5+101333160000*x^4+249324860016*x^3+50497830000*x^2+105583541256*x+10251562500)*ln(x)+(x^17+24*x^15+252*x^13+1512*x^11+5670*x^9+13608*x^7+20412*x^5+17496*x^3+6561*x)*ln(x)^8+(24*x^17+576*x^15+6048*x^13+36288*x^11+136080*x^9+326592*x^7+489888*x^5+419904*x^3+157464*x)*ln(x)^7+(252*x^17+6048*x^15+2500*x^14+63504*x^13+45000*x^12+381024*x^11+337500*x^10+1428840*x^9+1350000*x^8+3429216*x^7+3037500*x^6+5143824*x^5+3645000*x^4+4408992*x^3+1822500*x^2+1653372*x)*ln(x)^6+(1512*x^17+36288*x^15+45000*x^14+381024*x^13+810000*x^12+2286144*x^11+6075000*x^10+8573040*x^9+24300000*x^8+20575296*x^7+54675000*x^6+30862944*x^5+65610000*x^4+26453952*x^3+32805000*x^2+9920232*x)*ln(x)^5+(5670*x^17+136080*x^15+337500*x^14+1428840*x^13+6075000*x^12+10916790*x^11+46343750*x^10+60273900*x^9+201000000*x^8+203719860*x^7+536625000*x^6+368861040*x^5+829575000*x^4+289046070*x^3+562443750*x^2+37200870*x)*ln(x)^4)/((x^17+24*x^15+252*x^13+1512*x^11+5670*x^9+13608*x^7+20412*x^5+17496*x^3+6561*x)*ln(x)^8+(24*x^17+576*x^15+6048*x^13+36288*x^11+136080*x^9+326592*x^7+489888*x^5+419904*x^3+157464*x)*ln(x)^7+(252*x^17+6048*x^15+2500*x^14+63504*x^13+45000*x^12+381024*x^11+337500*x^10+1428840*x^9+1350000*x^8+3429216*x^7+3037500*x^6+5143824*x^5+3645000*x^4+4408992*x^3+1822500*x^2+1653372*x)*ln(x)^6+(1512*x^17+36288*x^15+45000*x^14+381024*x^13+810000*x^12+2286144*x^11+6075000*x^10+8573040*x^9+24300000*x^8+20575296*x^7+54675000*x^6+30862944*x^5+65610000*x^4+26453952*x^3+32805000*x^2+9920232*x)*ln(x)^5+(5670*x^17+136080*x^15+337500*x^14+1428840*x^13+6075000*x^12+10916790*x^11+46343750*x^10+60273900*x^9+191625000*x^8+203719860*x^7+452250000*x^6+368861040*x^5+576450000*x^4+289046070*x^3+309318750*x^2+37200870*x)*ln(x)^4+(13608*x^17+326592*x^15+1350000*x^14+3429216*x^13+24300000*x^12+48700296*x^11+191625000*x^10+414657360*x^9+841500000*x^8+1703927664*x^7+2146500000*x^6+3315266496*x^5+2980800000*x^4+2516210568*x^3+1743525000*x^2+89282088*x)*ln(x)^3+(20412*x^17+489888*x^15+3037500*x^14+5143824*x^13+54675000*x^12+157425444*x^11+452250000*x^10+1634486040*x^9+3123062500*x^8+8088703996*x^7+11828062500*x^6+19944774744*x^5+17773987500*x^4+19397753352*x^3+5631525000*x^2+133923132*x)*ln(x)^2+(17496*x^17+419904*x^15+3645000*x^14+4408992*x^13+65610000*x^12+279578952*x^11+576450000*x^10+3136702320*x^9+8840175000*x^8+19766210568*x^7+44141175000*x^6+62850878352*x^5+67161285000*x^4+73543610016*x^3+9491580000*x^2+114791256*x)*ln(x)+6561*x^17+157464*x^15+1822500*x^14+1653372*x^13+32805000*x^12+199763982*x^11+309318750*x^10+2315325870*x^9+10532587500*x^8+19129907088*x^7+58365900000*x^6+225959313757*x^5+393768923750*x^4+247181588131*x^3+6454383750*x^2+43046721*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{1171875}{6561+491875 x +12 x^{8} \ln \left(x \right)^{3}+11664 x^{2} \ln \left(x \right)+12 x^{6} \ln \left(x \right)^{4}+5832 x^{2} \ln \left(x \right)^{2}+108 x^{2} \ln \left(x \right)^{4}+81 x^{8}+81 \ln \left(x \right)^{4}+972 \ln \left(x \right)^{3}+8748 \ln \left(x \right)+4374 \ln \left(x \right)^{2}+4374 x^{4}+67500 x^{3}+399373 x^{2}+972 x^{6}+11250 x^{5}+45000 x^{3} \ln \left(x \right)+54 x^{8} \ln \left(x \right)^{2}+648 x^{6} \ln \left(x \right)^{2}+1296 x^{6} \ln \left(x \right)+648 x^{4} \ln \left(x \right)^{3}+144 x^{6} \ln \left(x \right)^{3}+7500 x^{5} \ln \left(x \right)+2916 x^{4} \ln \left(x \right)^{2}+11250 x \ln \left(x \right)^{2}+108 x^{8} \ln \left(x \right)+5832 x^{4} \ln \left(x \right)+67500 x \ln \left(x \right)+x^{8} \ln \left(x \right)^{4}+54 x^{4} \ln \left(x \right)^{4}+1250 x^{5} \ln \left(x \right)^{2}+1296 x^{2} \ln \left(x \right)^{3}+7500 x^{3} \ln \left(x \right)^{2}}$&$243$\\ \hline \end{longtable}"," ",0,"x-1171875/(6561+491875*x+12*x^8*ln(x)^3+11664*x^2*ln(x)+12*x^6*ln(x)^4+5832*x^2*ln(x)^2+108*x^2*ln(x)^4+81*x^8+81*ln(x)^4+972*ln(x)^3+8748*ln(x)+4374*ln(x)^2+4374*x^4+67500*x^3+399373*x^2+972*x^6+11250*x^5+45000*x^3*ln(x)+54*x^8*ln(x)^2+648*x^6*ln(x)^2+1296*x^6*ln(x)+648*x^4*ln(x)^3+144*x^6*ln(x)^3+7500*x^5*ln(x)+2916*x^4*ln(x)^2+11250*x*ln(x)^2+108*x^8*ln(x)+5832*x^4*ln(x)+67500*x*ln(x)+x^8*ln(x)^4+54*x^4*ln(x)^4+1250*x^5*ln(x)^2+1296*x^2*ln(x)^3+7500*x^3*ln(x)^2)","B"
6076,1,12,15,0.034000," ","int(1/8*(-8*x^3-5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{2}}{2}+\frac{5}{8 x}$&$12$\\ norman&$\frac{\frac{5}{8}-\frac{x^{3}}{2}}{x}$&$12$\\ risch&$-\frac{x^{2}}{2}+\frac{5}{8 x}$&$12$\\ gosper&$-\frac{4 x^{3}-5}{8 x}$&$13$\\ \hline \end{longtable}"," ",0,"-1/2*x^2+5/8/x","A"
6077,1,17,20,0.064000," ","int((4*x+2)*exp(x)^2*exp(-x*exp(x)^2+4)-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x -2 \,{\mathrm e}^{-x \,{\mathrm e}^{2 x}+4}$&$17$\\ norman&$-2 x -2 \,{\mathrm e}^{-x \,{\mathrm e}^{2 x}+4}$&$17$\\ risch&$-2 x -2 \,{\mathrm e}^{-x \,{\mathrm e}^{2 x}+4}$&$17$\\ \hline \end{longtable}"," ",0,"-2*x-2*exp(-x*exp(x)^2+4)","A"
6078,1,9,8,0.044000," ","int(4*x^3/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{4}}{\ln \left(2\right)^{2}}$&$9$\\ default&$\frac{x^{4}}{\ln \left(2\right)^{2}}$&$9$\\ norman&$\frac{x^{4}}{\ln \left(2\right)^{2}}$&$9$\\ risch&$\frac{x^{4}}{\ln \left(2\right)^{2}}$&$9$\\ \hline \end{longtable}"," ",0,"x^4/ln(2)^2","A"
6079,1,30,26,0.424000," ","int((((2*x*ln((ln(ln(5))-x)/ln(ln(5)))+(-x*exp(x)*ln(ln(5))+exp(x)*x^2)*exp(3+exp(x)))*exp(ln((ln(ln(5))-x)/ln(ln(5)))^2+exp(3+exp(x)))-ln(ln(5))+x)*exp(exp(ln((ln(ln(5))-x)/ln(ln(5)))^2+exp(3+exp(x))))+ln(ln(5))-x)/(ln(ln(5))-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{{\mathrm e}^{\ln \left(\frac{\ln \left(\ln \left(5\right)\right)-x}{\ln \left(\ln \left(5\right)\right)}\right)^{2}+{\mathrm e}^{3+{\mathrm e}^{x}}}} x +x$&$30$\\ \hline \end{longtable}"," ",0,"-exp(exp(ln((ln(ln(5))-x)/ln(ln(5)))^2+exp(3+exp(x))))*x+x","A"
6080,1,58,25,0.045000," ","int(((x^6+24*x^5+184*x^4+560*x^3+624*x^2-64*x-384)*ln(x)^3+(16*x^4+176*x^3+672*x^2+640*x-256)*ln(x)^2+(-8*x^4-128*x^3-352*x^2+128*x+256)*ln(x)-128*x^2-256*x)/(4*x^3+24*x^2+48*x+32)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-12 x +\frac{x^{4}}{16}+8 x^{2}+\frac{3 x^{3}}{2}+\frac{2 x \left(x^{3} \ln \left(x \right)+14 x^{2} \ln \left(x \right)+16 x \ln \left(x \right)+8 x -16 \ln \left(x \right)\right)}{\left(2+x \right)^{2} \ln \left(x \right)^{2}}$&$58$\\ \hline \end{longtable}"," ",0,"-12*x+1/16*x^4+8*x^2+3/2*x^3+2*x*(x^3*ln(x)+14*x^2*ln(x)+16*x*ln(x)+8*x-16*ln(x))/(2+x)^2/ln(x)^2","B"
6081,1,41,18,0.109000," ","int(1/16*(12*x+3)*exp(2+x)^4+1/16*(-96*x^2-192*x-48)*exp(2+x)^2+36*x^2+48*x+12,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{4 x +8} x}{16}+\frac{\left(-48 x^{2}-48 x \right) {\mathrm e}^{2 x +4}}{16}+12 x^{3}+24 x^{2}+12 x$&$41$\\ norman&$12 x +24 x^{2}+12 x^{3}-3 x \,{\mathrm e}^{2 x +4}-3 \,{\mathrm e}^{2 x +4} x^{2}+\frac{3 \,{\mathrm e}^{4 x +8} x}{16}$&$44$\\ default&$12 x^{3}+24 x^{2}+12 x -\frac{3 \,{\mathrm e}^{4 x +8}}{8}+\frac{3 \,{\mathrm e}^{4 x +8} \left(2+x \right)}{16}-6 \,{\mathrm e}^{2 x +4}+9 \,{\mathrm e}^{2 x +4} \left(2+x \right)-3 \,{\mathrm e}^{2 x +4} \left(2+x \right)^{2}$&$66$\\ derivativedivides&$24 \left(2+x \right)^{2}-168-84 x +12 x^{3}-\frac{3 \,{\mathrm e}^{4 x +8}}{8}+\frac{3 \,{\mathrm e}^{4 x +8} \left(2+x \right)}{16}-6 \,{\mathrm e}^{2 x +4}+9 \,{\mathrm e}^{2 x +4} \left(2+x \right)-3 \,{\mathrm e}^{2 x +4} \left(2+x \right)^{2}$&$69$\\ \hline \end{longtable}"," ",0,"3/16*exp(4*x+8)*x+1/16*(-48*x^2-48*x)*exp(2*x+4)+12*x^3+24*x^2+12*x","B"
6082,1,29,18,0.035000," ","int(1/2*(x^2+7*x+5)*exp(x)+4*x^3+18*x^2+10*x-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2}+5 x \right) {\mathrm e}^{x}}{2}+x^{4}+6 x^{3}+5 x^{2}-2 x$&$29$\\ default&$x^{4}+6 x^{3}+5 x^{2}-2 x +\frac{{\mathrm e}^{x} x^{2}}{2}+\frac{5 \,{\mathrm e}^{x} x}{2}$&$30$\\ norman&$x^{4}+6 x^{3}+5 x^{2}-2 x +\frac{{\mathrm e}^{x} x^{2}}{2}+\frac{5 \,{\mathrm e}^{x} x}{2}$&$30$\\ \hline \end{longtable}"," ",0,"1/2*(x^2+5*x)*exp(x)+x^4+6*x^3+5*x^2-2*x","A"
6083,1,44,37,0.427000," ","int((((2*x+4)*ln(2)*exp(x)+(-2*x-4)*ln(2)+4*x^2+4*x)*ln(4/((2+x)*ln(2)*exp(x)+(-x-2)*ln(2)+2*x^2+2*x))*ln(ln(4/((2+x)*ln(2)*exp(x)+(-x-2)*ln(2)+2*x^2+2*x)))+(-x^3-x^2+6*x)*ln(2)*exp(x)+(x^2-2*x)*ln(2)-4*x^3+6*x^2+4*x)/((x^3-2*x^2-4*x+8)*ln(2)*exp(x)+(-x^3+2*x^2+4*x-8)*ln(2)+2*x^4-6*x^3+8*x)/ln(4/((2+x)*ln(2)*exp(x)+(-x-2)*ln(2)+2*x^2+2*x))/ln(ln(4/((2+x)*ln(2)*exp(x)+(-x-2)*ln(2)+2*x^2+2*x)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{\left(x -2\right) \ln \left(2 \ln \left(2\right)-\ln \left(\left(\left({\mathrm e}^{x}-1\right) x +2 \,{\mathrm e}^{x}-2\right) \ln \left(2\right)+2 x^{2}+2 x \right)\right)}$&$44$\\ \hline \end{longtable}"," ",0,"-x/(x-2)/ln(2*ln(2)-ln(((exp(x)-1)*x+2*exp(x)-2)*ln(2)+2*x^2+2*x))","A"
6084,1,24,23,0.754000," ","int((-6*exp(1)*exp(x)+6*exp(4)-45)/(16*exp(1)^3*exp(x)^3+(-48*x*exp(1)^2*exp(4)-48*exp(1)^3+360*x*exp(1)^2)*exp(x)^2+(48*x^2*exp(1)*exp(4)^2+(96*x*exp(1)^2-720*x^2*exp(1))*exp(4)+48*exp(1)^3-720*x*exp(1)^2+2700*x^2*exp(1))*exp(x)-16*x^3*exp(4)^3+(-48*x^2*exp(1)+360*x^3)*exp(4)^2+(-48*x*exp(1)^2+720*x^2*exp(1)-2700*x^3)*exp(4)-16*exp(1)^3+360*x*exp(1)^2-2700*x^2*exp(1)+6750*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3}{4 \left(2 \,{\mathrm e} \,{\mathrm e}^{x}-2 x \,{\mathrm e}^{4}-2 \,{\mathrm e}+15 x \right)^{2}}$&$24$\\ risch&$\frac{3}{4 \left(2 x \,{\mathrm e}^{4}-2 \,{\mathrm e}^{x +1}+2 \,{\mathrm e}-15 x \right)^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"3/4/(2*exp(1)*exp(x)-2*x*exp(4)-2*exp(1)+15*x)^2","A"
6085,1,20,21,0.391000," ","int((ln(3)+I*Pi+2*x^2-9*x+4)/(x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-x +\left(\ln \left(3\right)+i \pi \right) \ln \left(x -4\right)$&$20$\\ norman&$x^{2}-x +\left(\ln \left(3\right)+i \pi \right) \ln \left(x -4\right)$&$20$\\ risch&$x^{2}-x +\ln \left(3\right) \ln \left(x -4\right)+i \pi  \ln \left(x -4\right)$&$23$\\ meijerg&$\ln \left(3\right) \ln \left(-\frac{x}{4}+1\right)+i \pi  \ln \left(-\frac{x}{4}+1\right)+\frac{4 x \left(\frac{3 x}{4}+6\right)}{3}-9 x$&$32$\\ \hline \end{longtable}"," ",0,"x^2-x+(ln(3)+I*Pi)*ln(x-4)","A"
6086,1,42,32,0.066000," ","int(((-15*x^4-30*x^3+225*x^2)*ln(5+x)+(-15*x^2-30*x+225)*ln(3-x)+(-30*x^5-75*x^4+420*x^3+225*x^2)*exp(2*x)+45*x^6+90*x^5-693*x^4+39*x^3+60*x^2+75*x)/(5*x^4+10*x^3-75*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 x \ln \left(5+x \right)+\frac{3 x^{4}-3 \,{\mathrm e}^{2 x} x^{2}-\frac{3 x^{2}}{5}+3 \ln \left(3-x \right)}{x}$&$42$\\ default&$-3 x \,{\mathrm e}^{2 x}+\ln \left(-x \right)+\frac{\ln \left(3-x \right) \left(3-x \right)}{x}+3 x^{3}-\frac{3 x}{5}+15 \ln \left(5+x \right)+\ln \left(x -3\right)-\ln \left(x \right)-3 \left(5+x \right) \ln \left(5+x \right)+15$&$60$\\ \hline \end{longtable}"," ",0,"-3*x*ln(5+x)+3/5*(5*x^4-5*exp(2*x)*x^2-x^2+5*ln(3-x))/x","A"
6087,1,24,16,0.026000," ","int((-16*ln(5)^2+8*ln(5)-2)/(16*ln(5)^2-8*ln(5)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{2 \left(8 \ln \left(5\right)^{2}-4 \ln \left(5\right)+1\right) x}{\left(4 \ln \left(5\right)-1\right)^{2}}$&$24$\\ default&$\frac{\left(-16 \ln \left(5\right)^{2}+8 \ln \left(5\right)-2\right) x}{16 \ln \left(5\right)^{2}-8 \ln \left(5\right)+1}$&$29$\\ risch&$-\frac{16 x \ln \left(5\right)^{2}}{16 \ln \left(5\right)^{2}-8 \ln \left(5\right)+1}+\frac{8 x \ln \left(5\right)}{16 \ln \left(5\right)^{2}-8 \ln \left(5\right)+1}-\frac{2 x}{16 \ln \left(5\right)^{2}-8 \ln \left(5\right)+1}$&$59$\\ \hline \end{longtable}"," ",0,"-2*(8*ln(5)^2-4*ln(5)+1)/(4*ln(5)-1)^2*x","A"
6088,1,30,25,0.044000," ","int(1/4*((x^2+4)*ln(4*x)-4*x^5-3*x^4+8*x^3+5*x^2-4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2}-4\right) \ln \left(4 x \right)}{4 x}-\frac{x^{4}}{4}-\frac{x^{3}}{4}+x^{2}+x$&$30$\\ derivativedivides&$-\frac{x^{4}}{4}-\frac{x^{3}}{4}+\frac{x \ln \left(4 x \right)}{4}+x +x^{2}-\frac{\ln \left(4 x \right)}{x}$&$32$\\ default&$-\frac{x^{4}}{4}-\frac{x^{3}}{4}+\frac{x \ln \left(4 x \right)}{4}+x +x^{2}-\frac{\ln \left(4 x \right)}{x}$&$32$\\ norman&$\frac{x^{2}+x^{3}-\frac{x^{4}}{4}-\frac{x^{5}}{4}+\frac{x^{2} \ln \left(4 x \right)}{4}-\ln \left(4 x \right)}{x}$&$37$\\ \hline \end{longtable}"," ",0,"1/4*(x^2-4)/x*ln(4*x)-1/4*x^4-1/4*x^3+x^2+x","A"
6089,1,20,20,0.061000," ","int(1/9*((-x^4+x^2)*ln(3)*exp(x*ln(3)/exp(x))+(x^3+4*x^2+2*x)*exp(x))*exp(exp(x*ln(3)/exp(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x +1\right) x^{2} {\mathrm e}^{x +3^{x \,{\mathrm e}^{-x}}}}{9}$&$20$\\ \hline \end{longtable}"," ",0,"1/9*(x+1)*x^2*exp(x+3^(x*exp(-x)))","A"
6090,1,34,29,0.063000," ","int(((x^2-3*x)*exp(4)^2*ln(x)+(-x^2+3*x)*exp(4)^2*ln(x-3)+(-3*x^2+9*x-3)*exp(4)^2*exp(exp(12))+(-3*x^2+12*x-3)*exp(4)^2+(2*x^2-6*x)*exp(4))/((x^2-3*x)*exp(4)^2*ln(x)^2+((-2*x^2+6*x)*exp(4)^2*ln(x-3)+(-6*x^3+18*x^2)*exp(4)^2+(4*x^2-12*x)*exp(4))*ln(x)+(x^2-3*x)*exp(4)^2*ln(x-3)^2+((6*x^3-18*x^2)*exp(4)^2+(-4*x^2+12*x)*exp(4))*ln(x-3)+(9*x^4-27*x^3)*exp(4)^2+(-12*x^3+36*x^2)*exp(4)+4*x^2-12*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left({\mathrm e}^{{\mathrm e}^{12}}-x +1\right) {\mathrm e}^{4}}{3 x \,{\mathrm e}^{4}-{\mathrm e}^{4} \ln \left(x \right)+{\mathrm e}^{4} \ln \left(x -3\right)-2}$&$34$\\ \hline \end{longtable}"," ",0,"(exp(exp(12))-x+1)*exp(4)/(3*x*exp(4)-exp(4)*ln(x)+exp(4)*ln(x-3)-2)","A"
6091,1,270,32,0.237000," ","int((((-2*x^5+8*x^4+18*x^3-64*x^2-40*x+128)*ln((-x^3+4*x^2+5*x-16)/(x^2-4))+3*x^5-8*x^4-25*x^3+64*x^2+60*x-128)*ln(x)+(x^5-4*x^4-9*x^3+32*x^2+20*x-64)*ln((-x^3+4*x^2+5*x-16)/(x^2-4))+x^8-4*x^7-10*x^6+35*x^5+33*x^4-87*x^3-52*x^2+44*x+64)/(x^8-4*x^7-9*x^6+32*x^5+20*x^4-64*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right) \ln \left(x^{3}-4 x^{2}-5 x +16\right)}{x^{2}}+\frac{-i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}-4}\right) \mathrm{csgn}\left(i \left(x^{3}-4 x^{2}-5 x +16\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}-4 x^{2}-5 x +16\right)}{x^{2}-4}\right) \ln \left(x \right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}-4}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}-4 x^{2}-5 x +16\right)}{x^{2}-4}\right)^{2} \ln \left(x \right)+i \pi  \,\mathrm{csgn}\left(i \left(x^{3}-4 x^{2}-5 x +16\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}-4 x^{2}-5 x +16\right)}{x^{2}-4}\right)^{2} \ln \left(x \right)+i \pi  \mathrm{csgn}\left(\frac{i \left(x^{3}-4 x^{2}-5 x +16\right)}{x^{2}-4}\right)^{3} \ln \left(x \right)-2 i \pi  \mathrm{csgn}\left(\frac{i \left(x^{3}-4 x^{2}-5 x +16\right)}{x^{2}-4}\right)^{2} \ln \left(x \right)+2 i \pi  \ln \left(x \right)+2 x^{3}-2 \ln \left(x \right) \ln \left(x^{2}-4\right)+2 x -2 \ln \left(x \right)}{2 x^{2}}$&$270$\\ \hline \end{longtable}"," ",0,"1/x^2*ln(x)*ln(x^3-4*x^2-5*x+16)+1/2*(-I*Pi*csgn(I/(x^2-4))*csgn(I*(x^3-4*x^2-5*x+16))*csgn(I/(x^2-4)*(x^3-4*x^2-5*x+16))*ln(x)+I*Pi*csgn(I/(x^2-4))*csgn(I/(x^2-4)*(x^3-4*x^2-5*x+16))^2*ln(x)+I*Pi*csgn(I*(x^3-4*x^2-5*x+16))*csgn(I/(x^2-4)*(x^3-4*x^2-5*x+16))^2*ln(x)+I*Pi*csgn(I/(x^2-4)*(x^3-4*x^2-5*x+16))^3*ln(x)-2*I*Pi*csgn(I/(x^2-4)*(x^3-4*x^2-5*x+16))^2*ln(x)+2*I*Pi*ln(x)+2*x^3-2*ln(x)*ln(x^2-4)+2*x-2*ln(x))/x^2","C"
6092,1,14,15,0.059000," ","int((((-16*x+81)*exp(x)+16)*exp(exp(x))+81)/(exp(exp(x))^2+2*x*exp(exp(x))+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x -81}{x +{\mathrm e}^{{\mathrm e}^{x}}}$&$14$\\ norman&$\frac{-81-16 \,{\mathrm e}^{{\mathrm e}^{x}}}{x +{\mathrm e}^{{\mathrm e}^{x}}}$&$16$\\ \hline \end{longtable}"," ",0,"(16*x-81)/(x+exp(exp(x)))","A"
6093,1,17,16,0.385000," ","int(((exp(2)-1)*ln(x)+exp(2)-3*x-1)/(exp(2)*x-3*x^2-x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)-\ln \left({\mathrm e}^{2}-1-3 x \right)+\ln \left(\ln \left(x \right)\right)$&$17$\\ risch&$-\ln \left(1+3 x -{\mathrm e}^{2}\right)+\ln \left(x \right)+\ln \left(\ln \left(x \right)\right)$&$19$\\ default&$\ln \left(\ln \left(x \right)\right)-\frac{{\mathrm e}^{2} \ln \left(1+3 x -{\mathrm e}^{2}\right)}{{\mathrm e}^{2}-1}+\frac{{\mathrm e}^{2} \ln \left(x \right)}{{\mathrm e}^{2}-1}+\frac{\ln \left(1+3 x -{\mathrm e}^{2}\right)}{{\mathrm e}^{2}-1}-\frac{\ln \left(x \right)}{{\mathrm e}^{2}-1}$&$63$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(exp(2)-1-3*x)+ln(ln(x))","A"
6094,1,18,24,0.040000," ","int((2*x^9-36*x^5-36*x^4-54*x-36)/(x^8-6*x^4+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(x^{5}+9 x +12\right)}{x^{4}-3}$&$18$\\ norman&$\frac{x^{6}+9 x^{2}+12 x}{x^{4}-3}$&$21$\\ risch&$x^{2}+\frac{12 x^{2}+12 x}{x^{4}-3}$&$22$\\ default&$x^{2}-\frac{12 \left(-x^{2}-x \right)}{x^{4}-3}$&$23$\\ \hline \end{longtable}"," ",0,"x*(x^5+9*x+12)/(x^4-3)","A"
6095,1,29,26,0.261000," ","int(((4*exp(x)+4)*exp(exp(x^2-10*x+25))^2+((-4*x+20)*exp(x)^2*exp(x^2-10*x+25)-4*exp(x))*exp(exp(x^2-10*x+25))+exp(x)^2)/(8*exp(exp(x^2-10*x+25))^2-8*exp(x)*exp(exp(x^2-10*x+25))+2*exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{2}+\frac{{\mathrm e}^{x}}{2}-\frac{{\mathrm e}^{2 x}}{2 \left({\mathrm e}^{x}-2 \,{\mathrm e}^{{\mathrm e}^{\left(x -5\right)^{2}}}\right)}$&$29$\\ \hline \end{longtable}"," ",0,"1/2*x+1/2*exp(x)-1/2*exp(2*x)/(exp(x)-2*exp(exp((x-5)^2)))","A"
6096,1,25,27,0.120000," ","int(((-5*x^2+10)*exp(1/x^2)+15*x^4+10*x^3+2*x)*exp(5/2*x*exp(1/x^2)-5/2*x^3-5/2*x^2)/(2*x*exp(5/2*x*exp(1/x^2)-5/2*x^3-5/2*x^2)^2-4*x^2*exp(5/2*x*exp(1/x^2)-5/2*x^3-5/2*x^2)+2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{x -{\mathrm e}^{-\frac{5 x \left(x^{2}-{\mathrm e}^{\frac{1}{x^{2}}}+x \right)}{2}}}$&$25$\\ norman&$-\frac{{\mathrm e}^{\frac{5 x \,{\mathrm e}^{\frac{1}{x^{2}}}}{2}-\frac{5 x^{3}}{2}-\frac{5 x^{2}}{2}}}{x -{\mathrm e}^{\frac{5 x \,{\mathrm e}^{\frac{1}{x^{2}}}}{2}-\frac{5 x^{3}}{2}-\frac{5 x^{2}}{2}}}$&$47$\\ \hline \end{longtable}"," ",0,"-x/(x-exp(-5/2*x*(x^2-exp(1/x^2)+x)))","A"
6097,1,16,22,0.044000," ","int((x-3)/(8*ln(4*ln(2))+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(x -6\right)}{32+16 \ln \left(4 \ln \left(2\right)\right)}$&$16$\\ default&$\frac{\frac{1}{2} x^{2}-3 x}{8 \ln \left(4 \ln \left(2\right)\right)+16}$&$22$\\ norman&$-\frac{3 x}{8 \left(2+2 \ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)}+\frac{x^{2}}{32 \ln \left(2\right)+16 \ln \left(\ln \left(2\right)\right)+32}$&$32$\\ risch&$\frac{x^{2}}{32 \ln \left(2\right)+16 \ln \left(\ln \left(2\right)\right)+32}-\frac{3 x}{16 \ln \left(2\right)+8 \ln \left(\ln \left(2\right)\right)+16}$&$36$\\ \hline \end{longtable}"," ",0,"1/16*x*(x-6)/(2+ln(4*ln(2)))","A"
6098,1,10,16,0.046000," ","int((-3*ln(240)-3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{3 \ln \left(240\right)+3}{x}$&$10$\\ norman&$\frac{3 \ln \left(240\right)+3}{x}$&$11$\\ default&$-\frac{-3 \ln \left(240\right)-3}{x}$&$12$\\ risch&$\frac{12 \ln \left(2\right)}{x}+\frac{3 \ln \left(3\right)}{x}+\frac{3 \ln \left(5\right)}{x}+\frac{3}{x}$&$28$\\ \hline \end{longtable}"," ",0,"3*(ln(240)+1)/x","A"
6099,1,128,25,0.417000," ","int(((10*x^9*ln(5)+30*x^10-30*x^9)*ln(-1/2*ln(5)-3/2*x+3/2)^8+24*x^10*ln(-1/2*ln(5)-3/2*x+3/2)^7+((36*x^8+96*x^7)*ln(5)+108*x^9+180*x^8-288*x^7)*ln(-1/2*ln(5)-3/2*x+3/2)^6+(72*x^9+216*x^8)*ln(-1/2*ln(5)-3/2*x+3/2)^5+((48*x^7+252*x^6+324*x^5)*ln(5)+144*x^8+612*x^7+216*x^6-972*x^5)*ln(-1/2*ln(5)-3/2*x+3/2)^4+(72*x^8+432*x^7+648*x^6)*ln(-1/2*ln(5)-3/2*x+3/2)^3+((28*x^6+216*x^5+540*x^4+432*x^3)*ln(5)+84*x^7+564*x^6+972*x^5-324*x^4-1296*x^3)*ln(-1/2*ln(5)-3/2*x+3/2)^2+(24*x^7+216*x^6+648*x^5+648*x^4)*ln(-1/2*ln(5)-3/2*x+3/2)+(6*x^5+60*x^4+216*x^3+324*x^2+162*x)*ln(5)+18*x^6+162*x^5+468*x^4+324*x^3-486*x^2-486*x)/(ln(5)+3*x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{10} \ln \left(-\frac{\ln \left(5\right)}{2}-\frac{3 x}{2}+\frac{3}{2}\right)^{8}+\left(4 x^{9}+12 x^{8}\right) \ln \left(-\frac{\ln \left(5\right)}{2}-\frac{3 x}{2}+\frac{3}{2}\right)^{6}+\left(6 x^{8}+36 x^{7}+54 x^{6}\right) \ln \left(-\frac{\ln \left(5\right)}{2}-\frac{3 x}{2}+\frac{3}{2}\right)^{4}+\left(4 x^{7}+36 x^{6}+108 x^{5}+108 x^{4}\right) \ln \left(-\frac{\ln \left(5\right)}{2}-\frac{3 x}{2}+\frac{3}{2}\right)^{2}+x^{6}+12 x^{5}+54 x^{4}+108 x^{3}+81 x^{2}$&$128$\\ derivativedivides&$\text{Expression too large to display}$&$38680$\\ default&$\text{Expression too large to display}$&$38680$\\ \hline \end{longtable}"," ",0,"x^10*ln(-1/2*ln(5)-3/2*x+3/2)^8+(4*x^9+12*x^8)*ln(-1/2*ln(5)-3/2*x+3/2)^6+(6*x^8+36*x^7+54*x^6)*ln(-1/2*ln(5)-3/2*x+3/2)^4+(4*x^7+36*x^6+108*x^5+108*x^4)*ln(-1/2*ln(5)-3/2*x+3/2)^2+x^6+12*x^5+54*x^4+108*x^3+81*x^2","B"
6100,1,18,21,0.036000," ","int((-3*exp(-4*x^2+16*x-13)-8*x+16)/exp(-4*x^2+16*x-13),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x -{\mathrm e}^{4 x^{2}-16 x +13}$&$18$\\ risch&$-3 x -{\mathrm e}^{4 x^{2}-16 x +13}$&$18$\\ norman&$\left(-1-3 x \,{\mathrm e}^{-4 x^{2}+16 x -13}\right) {\mathrm e}^{4 x^{2}-16 x +13}$&$31$\\ \hline \end{longtable}"," ",0,"-3*x-exp(4*x^2-16*x+13)","A"
6101,1,135,31,0.160000," ","int((((2*x*exp(1)-2*x^2)*exp(x)^6+(-6*x^2*exp(1)+6*x^3)*exp(x)^5+((6*x^3-30*x)*exp(1)-6*x^4+30*x^2+4*x)*exp(x)^4+((-2*x^4+60*x^2)*exp(1)+2*x^5-60*x^3-4*x)*exp(x)^3+((-30*x^3+150*x)*exp(1)+30*x^4-150*x^2+20*x)*exp(x)^2+(-150*x^2*exp(1)+150*x^3)*exp(x)-250*x*exp(1)+250*x^2)*ln(x)+(-exp(1)^2+2*x*exp(1)-x^2+x)*exp(x)^6+(3*x*exp(1)^2-6*x^2*exp(1)+3*x^3-3*x^2)*exp(x)^5+((-3*x^2+15)*exp(1)^2+(6*x^3-30*x)*exp(1)-3*x^4+3*x^3+15*x^2-15*x-2)*exp(x)^4+((x^3-30*x)*exp(1)^2+(-2*x^4+60*x^2)*exp(1)+x^5-x^4-30*x^3+30*x^2+2*x)*exp(x)^3+((15*x^2-75)*exp(1)^2+(-30*x^3+150*x)*exp(1)+15*x^4-15*x^3-75*x^2+75*x+10)*exp(x)^2+(75*x*exp(1)^2-150*x^2*exp(1)+75*x^3-75*x^2)*exp(x)+125*exp(1)^2-250*x*exp(1)+125*x^2-125*x)/(x*exp(x)^6-3*x^2*exp(x)^5+(3*x^3-15*x)*exp(x)^4+(-x^4+30*x^2)*exp(x)^3+(-15*x^3+75*x)*exp(x)^2-75*exp(x)*x^2-125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(2 x^{3} {\mathrm e}^{2 x +1}-4 x^{2} {\mathrm e}^{3 x +1}+2 x \,{\mathrm e}^{4 x +1}-{\mathrm e}^{2 x} x^{4}+2 x^{3} {\mathrm e}^{3 x}-x^{2} {\mathrm e}^{4 x}+20 x^{2} {\mathrm e}^{x +1}-20 x \,{\mathrm e}^{2 x +1}-10 \,{\mathrm e}^{x} x^{3}+10 \,{\mathrm e}^{2 x} x^{2}+50 x \,{\mathrm e}-25 x^{2}-2 \,{\mathrm e}^{2 x}\right) \ln \left(x \right)}{\left({\mathrm e}^{x} x -{\mathrm e}^{2 x}+5\right)^{2}}+x -{\mathrm e}^{2} \ln \left(x \right)$&$135$\\ \hline \end{longtable}"," ",0,"(2*x^3*exp(2*x+1)-4*x^2*exp(3*x+1)+2*x*exp(4*x+1)-exp(2*x)*x^4+2*x^3*exp(3*x)-x^2*exp(4*x)+20*x^2*exp(x+1)-20*x*exp(2*x+1)-10*exp(x)*x^3+10*exp(2*x)*x^2+50*x*exp(1)-25*x^2-2*exp(2*x))/(exp(x)*x-exp(2*x)+5)^2*ln(x)+x-exp(2)*ln(x)","B"
6102,1,31,29,0.080000," ","int((((50*exp(5+x)-200)*ln(x)^2+(100*x*exp(5+x)-400*x)*ln(x)-50*x*exp(5+x)+200*x)*ln(-1/4*exp(5+x)+1)+(-2450*x*exp(5+x)+10000*x)*ln(x)^2+(-3700*x^2*exp(5+x)+15000*x^2)*ln(x)+1250*x^2*exp(5+x)-5000*x^2)/(((x^2*exp(5+x)-4*x^2)*ln(x)^2+(2*x^3*exp(5+x)-8*x^3)*ln(x)+x^4*exp(5+x)-4*x^4)*ln(-1/4*exp(5+x)+1)^2+((-50*x^3*exp(5+x)+200*x^3)*ln(x)^2+(-100*x^4*exp(5+x)+400*x^4)*ln(x)-50*x^5*exp(5+x)+200*x^5)*ln(-1/4*exp(5+x)+1)+(625*x^4*exp(5+x)-2500*x^4)*ln(x)^2+(1250*x^5*exp(5+x)-5000*x^5)*ln(x)+625*x^6*exp(5+x)-2500*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{50 \ln \left(x \right)}{\left(x +\ln \left(x \right)\right) x \left(25 x -\ln \left(-\frac{{\mathrm e}^{5+x}}{4}+1\right)\right)}$&$31$\\ \hline \end{longtable}"," ",0,"50*ln(x)/(x+ln(x))/x/(25*x-ln(-1/4*exp(5+x)+1))","A"
6103,1,28,21,0.062000," ","int(1/3*(-4*exp(5)*ln(2*x)+4*exp(5)*ln(5)+(-4*exp(1)^2+4)*exp(5))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{4 \,{\mathrm e}^{5} \ln \left(2 x \right)}{3}+\frac{4 \,{\mathrm e}^{2} {\mathrm e}^{5}}{3}-\frac{4 \,{\mathrm e}^{5} \ln \left(5\right)}{3}}{x}$&$28$\\ risch&$\frac{4 \,{\mathrm e}^{5} \ln \left(2 x \right)}{3 x}+\frac{4 \,{\mathrm e}^{5} {\mathrm e}^{2}}{3 x}-\frac{4 \,{\mathrm e}^{5} \ln \left(5\right)}{3 x}$&$31$\\ derivativedivides&$\frac{4 \,{\mathrm e}^{5} {\mathrm e}^{2}}{3 x}-\frac{4 \,{\mathrm e}^{5} \ln \left(5\right)}{3 x}-\frac{8 \,{\mathrm e}^{5} \left(-\frac{\ln \left(2 x \right)}{2 x}-\frac{1}{2 x}\right)}{3}-\frac{4 \,{\mathrm e}^{5}}{3 x}$&$48$\\ default&$\frac{4 \,{\mathrm e}^{5} {\mathrm e}^{2}}{3 x}-\frac{4 \,{\mathrm e}^{5} \ln \left(5\right)}{3 x}-\frac{8 \,{\mathrm e}^{5} \left(-\frac{\ln \left(2 x \right)}{2 x}-\frac{1}{2 x}\right)}{3}-\frac{4 \,{\mathrm e}^{5}}{3 x}$&$48$\\ \hline \end{longtable}"," ",0,"(4/3*exp(5)*ln(2*x)+4/3*exp(1)^2*exp(5)-4/3*exp(5)*ln(5))/x","A"
6104,1,40,25,0.032000," ","int(((3+4*x)*ln(x)^2+(-20*x^9-320*x^7-1800*x^5-4000*x^3-8*x^2-2506*x)*ln(x)+18*x^10+2*x^9+280*x^8+40*x^7+1500*x^6+300*x^5+3000*x^4+1004*x^3+1253*x^2+1250*x)/(2*ln(x)^2-4*x*ln(x)+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{3 x}{2}+\frac{\left(x^{8}+20 x^{6}+150 x^{4}+500 x^{2}+625\right) x^{2}}{x -\ln \left(x \right)}$&$40$\\ \hline \end{longtable}"," ",0,"x^2+3/2*x+(x^8+20*x^6+150*x^4+500*x^2+625)*x^2/(x-ln(x))","A"
6105,1,32,23,0.045000," ","int((-2*exp(x)*x+(-24*x^2+72*x-24)*exp(3)-16*x^2+48*x-16)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\left(-24 \,{\mathrm e}^{3}-16\right) x +\left(24 \,{\mathrm e}^{3}+16\right) x^{2}-{\mathrm e}^{x} x^{2}\right) {\mathrm e}^{-x}$&$32$\\ risch&$-x^{2}+\left(24 x^{2} {\mathrm e}^{3}-24 x \,{\mathrm e}^{3}+16 x^{2}-16 x \right) {\mathrm e}^{-x}$&$33$\\ default&$-x^{2}-16 x \,{\mathrm e}^{-x}+16 x^{2} {\mathrm e}^{-x}+24 \,{\mathrm e}^{-x} {\mathrm e}^{3}+72 \,{\mathrm e}^{3} \left(-x \,{\mathrm e}^{-x}-{\mathrm e}^{-x}\right)-24 \,{\mathrm e}^{3} \left(-x^{2} {\mathrm e}^{-x}-2 x \,{\mathrm e}^{-x}-2 \,{\mathrm e}^{-x}\right)$&$76$\\ \hline \end{longtable}"," ",0,"((-24*exp(3)-16)*x+(24*exp(3)+16)*x^2-exp(x)*x^2)/exp(x)","A"
6106,1,15,27,0.055000," ","int((32*x^2*exp(2)*ln(x)+16*x^2*exp(2)+4)/exp(2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(x \right) {\mathrm e}^{-2}+16 x^{2} \ln \left(x \right)$&$15$\\ norman&$4 \ln \left(x \right) {\mathrm e}^{-2}+16 x^{2} \ln \left(x \right)$&$17$\\ default&$4 \,{\mathrm e}^{-2} \left(8 \,{\mathrm e}^{2} \left(\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}\right)+2 x^{2} {\mathrm e}^{2}+\ln \left(x \right)\right)$&$34$\\ \hline \end{longtable}"," ",0,"4*ln(x)*exp(-2)+16*x^2*ln(x)","A"
6107,1,51,22,0.059000," ","int(((2*exp(x)*x^4+2*x^4)*ln(x)^4+100*x*ln(x)^2+100*x*ln(x))/((exp(x)^2*x^4+(2*x^5-10*x^4)*exp(x)+x^6-10*x^5+25*x^4)*ln(x)^4+(-50*exp(x)*x^2-50*x^3+250*x^2)*ln(x)^2+625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2}{{\mathrm e}^{x}+x -5}-\frac{50}{\left({\mathrm e}^{x}+x -5\right) \left(x^{2} {\mathrm e}^{x} \ln \left(x \right)^{2}+x^{3} \ln \left(x \right)^{2}-5 x^{2} \ln \left(x \right)^{2}-25\right)}$&$51$\\ \hline \end{longtable}"," ",0,"-2/(exp(x)+x-5)-50/(exp(x)+x-5)/(x^2*exp(x)*ln(x)^2+x^3*ln(x)^2-5*x^2*ln(x)^2-25)","B"
6108,1,20,28,0.043000," ","int((exp(6)^2+(-3*exp(5)+9)*exp(6)+18*x)/exp(6)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -3 \,{\mathrm e}^{-1} x +9 \,{\mathrm e}^{-6} x +9 \,{\mathrm e}^{-12} x^{2}$&$20$\\ norman&$\left(\left(-3 \,{\mathrm e}^{5}+{\mathrm e}^{6}+9\right) x +9 \,{\mathrm e}^{-6} x^{2}\right) {\mathrm e}^{-6}$&$26$\\ gosper&$-x \left(3 \,{\mathrm e}^{6} {\mathrm e}^{5}-{\mathrm e}^{12}-9 \,{\mathrm e}^{6}-9 x \right) {\mathrm e}^{-12}$&$28$\\ default&${\mathrm e}^{-12} \left(x \,{\mathrm e}^{12}+\left(-3 \,{\mathrm e}^{5}+9\right) {\mathrm e}^{6} x +9 x^{2}\right)$&$28$\\ \hline \end{longtable}"," ",0,"x-3*exp(-1)*x+9*exp(-6)*x+9*exp(-12)*x^2","A"
6109,1,39,30,0.485000," ","int((((-18*x^2+18*x)*ln(2/3)+27*x-36)*ln(x)^2+(9*x^3*ln(2/3)-12*x^2)*ln(x)-3*x^3*ln(2/3)+3*x^2)/((9*x^5-36*x^4+36*x^3)*ln(2/3)*ln(x)^2+(-6*x^6+12*x^5)*ln(2/3)*ln(x)+x^7*ln(2/3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-3 x \ln \left(x \right)+\frac{3 \ln \left(x \right)}{\ln \left(2\right)-\ln \left(3\right)}}{x^{2} \left(x^{2}-3 x \ln \left(x \right)+6 \ln \left(x \right)\right)}$&$39$\\ risch&$\frac{x \ln \left(2\right)-x \ln \left(3\right)-1}{x^{2} \left(x \ln \left(2\right)-x \ln \left(3\right)-2 \ln \left(2\right)+2 \ln \left(3\right)\right)}-\frac{x \ln \left(2\right)-x \ln \left(3\right)-1}{\left(x -2\right) \left(\ln \left(2\right)-\ln \left(3\right)\right) \left(x^{2}-3 x \ln \left(x \right)+6 \ln \left(x \right)\right)}$&$79$\\ default&$-\frac{3 \left(\frac{\ln \left(2\right) \ln \left(x \right)}{x \left(x^{2}-3 x \ln \left(x \right)+6 \ln \left(x \right)\right)}-\frac{\ln \left(x \right)}{x^{2} \left(x^{2}-3 x \ln \left(x \right)+6 \ln \left(x \right)\right)}-\frac{\ln \left(3\right) \ln \left(x \right)}{x \left(x^{2}-3 x \ln \left(x \right)+6 \ln \left(x \right)\right)}\right)}{\ln \left(2\right)-\ln \left(3\right)}$&$82$\\ \hline \end{longtable}"," ",0,"(-3*x*ln(x)+3/(ln(2)-ln(3))*ln(x))/x^2/(x^2-3*x*ln(x)+6*ln(x))","A"
6110,1,17,23,0.035000," ","int(((1-2*x)*exp(2*x-ln(x))+2*x^2-3*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-3 x -\frac{{\mathrm e}^{2 x}}{x}$&$17$\\ risch&$x^{2}-3 x -\frac{{\mathrm e}^{2 x}}{x}$&$17$\\ norman&$x^{2}-3 x -{\mathrm e}^{2 x -\ln \left(x \right)}$&$19$\\ \hline \end{longtable}"," ",0,"x^2-3*x-exp(2*x)/x","A"
6111,1,30,23,0.093000," ","int(((-12*x^3-2)*exp(5)^2+(-24*x^4-18*x^2-4*x)*exp(5)-12*x^5-2*x^2)/(x^2*exp(5)^2+2*x^3*exp(5)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-6 x^{2}+\frac{\left(18 \,{\mathrm e}^{5}+2\right) x +2 \,{\mathrm e}^{5}}{\left({\mathrm e}^{5}+x \right) x}$&$30$\\ norman&$\frac{\left(18 \,{\mathrm e}^{5}+2\right) x -6 x^{4}-6 x^{3} {\mathrm e}^{5}+2 \,{\mathrm e}^{5}}{\left({\mathrm e}^{5}+x \right) x}$&$36$\\ gosper&$-\frac{2 \left(3 x^{3} {\mathrm e}^{5}+3 x^{4}-9 x \,{\mathrm e}^{5}-{\mathrm e}^{5}-x \right)}{x \left({\mathrm e}^{5}+x \right)}$&$37$\\ \hline \end{longtable}"," ",0,"-6*x^2+((18*exp(5)+2)*x+2*exp(5))/(exp(5)+x)/x","A"
6112,1,20,18,0.072000," ","int((2*x+1)*exp(ln(2)+2*x)+3*x^2+12*x+8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+2 x \,{\mathrm e}^{2 x}+8 x +6 x^{2}$&$20$\\ norman&$x^{3}+{\mathrm e}^{\ln \left(2\right)+2 x} x +8 x +6 x^{2}$&$22$\\ default&$8 x +\frac{{\mathrm e}^{\ln \left(2\right)+2 x} \left(\ln \left(2\right)+2 x \right)}{2}-\frac{{\mathrm e}^{\ln \left(2\right)+2 x} \ln \left(2\right)}{2}+6 x^{2}+x^{3}$&$39$\\ derivativedivides&$4 \ln \left(2\right)+8 x +\frac{3 \left(\ln \left(2\right)+2 x \right)^{2}}{2}+x^{3}+\frac{{\mathrm e}^{\ln \left(2\right)+2 x} \left(\ln \left(2\right)+2 x \right)}{2}-\frac{{\mathrm e}^{\ln \left(2\right)+2 x} \ln \left(2\right)}{2}-3 \ln \left(2\right) \left(\ln \left(2\right)+2 x \right)$&$58$\\ \hline \end{longtable}"," ",0,"x^3+2*x*exp(2*x)+8*x+6*x^2","A"
6113,1,49,24,0.090000," ","int(ln(ln(2))+(6*x^3+8*x^2-30*x+1)*exp(x^3+2*x^2-15*x)^2+(-6*x^4+16*x^3+62*x^2-124*x+8)*exp(x^3+2*x^2-15*x)+3*x^2-14*x+17,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{2 \left(x -3\right) \left(5+x \right) x} x +\left(-2 x^{2}+8 x \right) {\mathrm e}^{\left(x -3\right) \left(5+x \right) x}+x^{3}-7 x^{2}+17 x$&$49$\\ norman&$x^{3}+\left(\ln \left(\ln \left(2\right)\right)+17\right) x +{\mathrm e}^{2 x^{3}+4 x^{2}-30 x} x -7 x^{2}+8 \,{\mathrm e}^{x^{3}+2 x^{2}-15 x} x -2 \,{\mathrm e}^{x^{3}+2 x^{2}-15 x} x^{2}$&$68$\\ default&$17 x +{\mathrm e}^{2 x^{3}+4 x^{2}-30 x} x +8 \,{\mathrm e}^{x^{3}+2 x^{2}-15 x} x -2 \,{\mathrm e}^{x^{3}+2 x^{2}-15 x} x^{2}-7 x^{2}+x^{3}+x \ln \left(\ln \left(2\right)\right)$&$69$\\ \hline \end{longtable}"," ",0,"x*ln(ln(2))+exp(2*(x-3)*(5+x)*x)*x+(-2*x^2+8*x)*exp((x-3)*(5+x)*x)+x^3-7*x^2+17*x","A"
6114,1,33,28,0.028000," ","int(((x^2+2*x+1)*ln(x)+(2*x^3+3*x^2-x-1)*exp((2*x^2+6*x+5)/(x+1))-6*x^2-12*x-6)*exp((-ln(x)+exp((2*x^2+6*x+5)/(x+1))+5+x)/x)/(x^4+2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{\ln \left(x \right)-{\mathrm e}^{\frac{2 x^{2}+6 x +5}{x +1}}-5-x}{x}}$&$33$\\ \hline \end{longtable}"," ",0,"exp(-(ln(x)-exp((2*x^2+6*x+5)/(x+1))-5-x)/x)","A"
6115,1,24,28,0.143000," ","int(((162*x^5-729*x^4-1458*x^3+8019*x^2-5832*x)*exp(x)^2-1458*x^4+39366*x^2-104976*x)/((x^4-18*x^2+81)*exp(x)^4+(36*x^4-648*x^2+2916)*exp(x)^2+324*x^4-5832*x^2+26244),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{81 \left(x -4\right) x^{2}}{\left(x^{2}-9\right) \left({\mathrm e}^{2 x}+18\right)}$&$24$\\ norman&$\frac{-81 x^{3}+324 x^{2}}{\left({\mathrm e}^{2 x}+18\right) \left(x^{2}-9\right)}$&$28$\\ \hline \end{longtable}"," ",0,"-81*(x-4)*x^2/(x^2-9)/(exp(2*x)+18)","A"
6116,1,22,17,0.074000," ","int((((-2*x^2-2*x)*ln(2)*exp(x)+2*x+4)*ln(x)-2*x*ln(2)*exp(x)+2*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x \ln \left(2\right) {\mathrm e}^{x} \ln \left(x \right)+2 \ln \left(x \right)^{2}+2 x \ln \left(x \right)$&$22$\\ norman&$-2 x \ln \left(2\right) {\mathrm e}^{x} \ln \left(x \right)+2 \ln \left(x \right)^{2}+2 x \ln \left(x \right)$&$22$\\ risch&$2 \ln \left(x \right)^{2}+\left(-2 x \ln \left(2\right) {\mathrm e}^{x}+2 x \right) \ln \left(x \right)$&$22$\\ \hline \end{longtable}"," ",0,"-2*x*ln(2)*exp(x)*ln(x)+2*ln(x)^2+2*x*ln(x)","A"
6117,1,64,29,0.369000," ","int(((-2*exp(4)-2*exp(1)+6)*ln(x-5)+(2*exp(4)+2*exp(1)-6)*ln(3)+5-x)*exp(((-exp(4)+3-exp(1))*ln(x-5)^2+(2*exp(4)+2*exp(1)-6)*ln(3)*ln(x-5)+(-exp(4)+3-exp(1))*ln(3)^2-x)/(exp(4)+exp(1)-3))/((x-5)*exp(4)+(x-5)*exp(1)+15-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{\left(-{\mathrm e}^{4}+3-{\mathrm e}\right) \ln \left(x -5\right)^{2}+\left(2 \,{\mathrm e}^{4}+2 \,{\mathrm e}-6\right) \ln \left(3\right) \ln \left(x -5\right)+\left(-{\mathrm e}^{4}+3-{\mathrm e}\right) \ln \left(3\right)^{2}-x}{{\mathrm e}^{4}+{\mathrm e}-3}}$&$64$\\ risch&${\mathrm e}^{-\frac{{\mathrm e} \ln \left(3\right)^{2}+{\mathrm e}^{4} \ln \left(3\right)^{2}-2 \ln \left(3\right) \ln \left(x -5\right) {\mathrm e}-2 \ln \left(3\right) \ln \left(x -5\right) {\mathrm e}^{4}+\ln \left(x -5\right)^{2} {\mathrm e}+\ln \left(x -5\right)^{2} {\mathrm e}^{4}-3 \ln \left(3\right)^{2}+6 \ln \left(3\right) \ln \left(x -5\right)-3 \ln \left(x -5\right)^{2}+x}{{\mathrm e}^{4}+{\mathrm e}-3}}$&$88$\\ \hline \end{longtable}"," ",0,"exp(((-exp(4)+3-exp(1))*ln(x-5)^2+(2*exp(4)+2*exp(1)-6)*ln(3)*ln(x-5)+(-exp(4)+3-exp(1))*ln(3)^2-x)/(exp(4)+exp(1)-3))","B"
6118,1,62,19,0.050000," ","int(1/125*((3+x)*ln(2)^2*ln(x)^2+(127*x+10)*ln(2)^2*ln(x)+(250*x^2-500*x-1250)*ln(2)^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(2\right)^{2} \ln \left(x \right)^{3}}{125}+\frac{\left(x \ln \left(2\right)^{2}+5 \ln \left(2\right)^{2}\right) \ln \left(x \right)^{2}}{125}+\ln \left(x \right) \ln \left(2\right)^{2} x +x^{2} \ln \left(2\right)^{2}-5 x \ln \left(2\right)^{2}-10 \ln \left(2\right)^{2} \ln \left(x \right)$&$62$\\ norman&$x^{2} \ln \left(2\right)^{2}-10 \ln \left(2\right)^{2} \ln \left(x \right)+\ln \left(x \right) \ln \left(2\right)^{2} x -5 x \ln \left(2\right)^{2}+\frac{\ln \left(2\right)^{2} \ln \left(x \right)^{2}}{25}+\frac{\ln \left(2\right)^{2} \ln \left(x \right)^{3}}{125}+\frac{x \ln \left(2\right)^{2} \ln \left(x \right)^{2}}{125}$&$64$\\ default&$\frac{\ln \left(2\right)^{2} \left(x \ln \left(x \right)^{2}-2 x \ln \left(x \right)+2 x \right)}{125}+\frac{\ln \left(2\right)^{2} \ln \left(x \right)^{3}}{125}+\frac{127 \ln \left(2\right)^{2} \left(x \ln \left(x \right)-x \right)}{125}+x^{2} \ln \left(2\right)^{2}+\frac{\ln \left(2\right)^{2} \ln \left(x \right)^{2}}{25}-4 x \ln \left(2\right)^{2}-10 \ln \left(2\right)^{2} \ln \left(x \right)$&$80$\\ \hline \end{longtable}"," ",0,"1/125*ln(2)^2*ln(x)^3+1/125*(x*ln(2)^2+5*ln(2)^2)*ln(x)^2+ln(x)*ln(2)^2*x+x^2*ln(2)^2-5*x*ln(2)^2-10*ln(2)^2*ln(x)","B"
6119,1,17,18,0.024000," ","int((x^3-12*x-100)/(x^4+4*x^2+20*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-5 \ln \left(x \right)+2 \ln \left(x^{3}+4 x +20\right)$&$17$\\ norman&$-5 \ln \left(x \right)+2 \ln \left(x^{3}+4 x +20\right)$&$17$\\ risch&$-5 \ln \left(x \right)+2 \ln \left(x^{3}+4 x +20\right)$&$17$\\ \hline \end{longtable}"," ",0,"-5*ln(x)+2*ln(x^3+4*x+20)","A"
6120,1,15,14,0.041000," ","int((5*x*ln(x)-8*exp(3)-10*x+8)/x/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 \,{\mathrm e}^{3}+5 x -4}{\ln \left(x \right)^{2}}$&$15$\\ risch&$\frac{4 \,{\mathrm e}^{3}+5 x -4}{\ln \left(x \right)^{2}}$&$15$\\ default&$\frac{4 \,{\mathrm e}^{3}}{\ln \left(x \right)^{2}}+\frac{5 x}{\ln \left(x \right)^{2}}-\frac{4}{\ln \left(x \right)^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"(4*exp(3)+5*x-4)/ln(x)^2","A"
6121,1,20,23,0.043000," ","int(((-exp(1/2*x)^2-3*x)*ln(exp(1/2*x)^2+3*x)+(12*x^2*exp(1/2*x)^2+36*x^3)*exp(x)^2+x*exp(1/2*x)^2+3*x)/(3*x^2*exp(1/2*x)^2+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(3 x +{\mathrm e}^{x}\right)}{3 x}+2 \,{\mathrm e}^{2 x}$&$20$\\ \hline \end{longtable}"," ",0,"1/3*ln(3*x+exp(x))/x+2*exp(2*x)","A"
6122,1,58,23,0.404000," ","int(((6*x*ln(x)-6*x)*exp(2*ln(exp(4)*ln(5/3))-4)^3-6*x*exp(2*ln(exp(4)*ln(5/3))-4)^2)/(ln(x)^3*exp(2*ln(exp(4)*ln(5/3))-4)^3-3*ln(x)^2*exp(2*ln(exp(4)*ln(5/3))-4)^2+3*ln(x)*exp(2*ln(exp(4)*ln(5/3))-4)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 \,{\mathrm e}^{8} \left(\ln \left(5\right)^{4}-4 \ln \left(5\right)^{3} \ln \left(3\right)+6 \ln \left(5\right)^{2} \ln \left(3\right)^{2}-4 \ln \left(5\right) \ln \left(3\right)^{3}+\ln \left(3\right)^{4}\right) x^{2}}{\left(\ln \left(x \right) {\mathrm e}^{4} \ln \left(\frac{5}{3}\right)^{2}-1\right)^{2}}$&$58$\\ risch&$\frac{3 \left(\ln \left(5\right)^{4}-4 \ln \left(5\right)^{3} \ln \left(3\right)+6 \ln \left(5\right)^{2} \ln \left(3\right)^{2}-4 \ln \left(5\right) \ln \left(3\right)^{3}+\ln \left(3\right)^{4}\right) x^{2} {\mathrm e}^{8}}{\left(\ln \left(x \right) \ln \left(5\right)^{2} {\mathrm e}^{4}-2 \ln \left(x \right) {\mathrm e}^{4} \ln \left(3\right) \ln \left(5\right)+\ln \left(x \right) {\mathrm e}^{4} \ln \left(3\right)^{2}-1\right)^{2}}$&$75$\\ \hline \end{longtable}"," ",0,"3*exp(4)^2*(ln(5)^4-4*ln(5)^3*ln(3)+6*ln(5)^2*ln(3)^2-4*ln(5)*ln(3)^3+ln(3)^4)*x^2/(ln(x)*exp(4)*ln(5/3)^2-1)^2","B"
6123,1,37,26,0.070000," ","int(((-12*x^2-6*x)*ln(2*x+1)^2*ln(ln(x))*exp(ln(ln(x))^2)+(-18*x-9)*ln(x)*ln(2*x+1)-18*x*ln(x))*exp(3*x*ln(2*x+1)/(x*ln(2*x+1)*exp(ln(ln(x))^2)-2*x*ln(2*x+1)-3))/((2*x^3+x^2)*ln(x)*ln(2*x+1)^2*exp(ln(ln(x))^2)^2+((-8*x^3-4*x^2)*ln(x)*ln(2*x+1)^2+(-12*x^2-6*x)*ln(x)*ln(2*x+1))*exp(ln(ln(x))^2)+(8*x^3+4*x^2)*ln(x)*ln(2*x+1)^2+(24*x^2+12*x)*ln(x)*ln(2*x+1)+(18*x+9)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(2 x +1\right)^{\frac{3 x}{x \ln \left(2 x +1\right) {\mathrm e}^{\ln \left(\ln \left(x \right)\right)^{2}}-2 x \ln \left(2 x +1\right)-3}}$&$37$\\ \hline \end{longtable}"," ",0,"(2*x+1)^(3*x/(x*ln(2*x+1)*exp(ln(ln(x))^2)-2*x*ln(2*x+1)-3))","A"
6124,1,27,22,0.500000," ","int(((exp(9)-3*x^2-8)*ln(2)^2+(-2*x*exp(9)+6*x^3+14*x)*ln(2)+x^2*exp(9)-3*x^4-7*x^2)/(ln(2)^2-2*x*ln(2)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{3}+x \,{\mathrm e}^{9}-7 x +\frac{\ln \left(2\right)^{2}}{x -\ln \left(2\right)}$&$27$\\ risch&$-x^{3}+x \,{\mathrm e}^{9}-7 x -\frac{\ln \left(2\right)^{2}}{\ln \left(2\right)-x}$&$28$\\ norman&$\frac{x^{4}-x^{3} \ln \left(2\right)+\left(-{\mathrm e}^{9}+7\right) x^{2}+{\mathrm e}^{9} \ln \left(2\right)^{2}-8 \ln \left(2\right)^{2}}{\ln \left(2\right)-x}$&$44$\\ gosper&$\frac{-x^{3} \ln \left(2\right)+x^{4}+{\mathrm e}^{9} \ln \left(2\right)^{2}-x^{2} {\mathrm e}^{9}-8 \ln \left(2\right)^{2}+7 x^{2}}{\ln \left(2\right)-x}$&$46$\\ meijerg&$-\frac{8 x}{1-\frac{x}{\ln \left(2\right)}}+\frac{{\mathrm e}^{9} x}{1-\frac{x}{\ln \left(2\right)}}-\left(2 \,{\mathrm e}^{9}-14\right) \ln \left(2\right) \left(\frac{x}{\ln \left(2\right) \left(1-\frac{x}{\ln \left(2\right)}\right)}+\ln \left(1-\frac{x}{\ln \left(2\right)}\right)\right)+6 \ln \left(2\right)^{3} \left(\frac{x \left(-\frac{2 x^{2}}{\ln \left(2\right)^{2}}-\frac{6 x}{\ln \left(2\right)}+12\right)}{4 \ln \left(2\right) \left(1-\frac{x}{\ln \left(2\right)}\right)}+3 \ln \left(1-\frac{x}{\ln \left(2\right)}\right)\right)-\left(-3 \ln \left(2\right)^{2}+{\mathrm e}^{9}-7\right) \ln \left(2\right) \left(-\frac{x \left(-\frac{3 x}{\ln \left(2\right)}+6\right)}{3 \ln \left(2\right) \left(1-\frac{x}{\ln \left(2\right)}\right)}-2 \ln \left(1-\frac{x}{\ln \left(2\right)}\right)\right)+3 \ln \left(2\right)^{3} \left(-\frac{x \left(-\frac{5 x^{3}}{\ln \left(2\right)^{3}}-\frac{10 x^{2}}{\ln \left(2\right)^{2}}-\frac{30 x}{\ln \left(2\right)}+60\right)}{15 \ln \left(2\right) \left(1-\frac{x}{\ln \left(2\right)}\right)}-4 \ln \left(1-\frac{x}{\ln \left(2\right)}\right)\right)$&$242$\\ \hline \end{longtable}"," ",0,"-x^3+x*exp(9)-7*x+ln(2)^2/(x-ln(2))","A"
6125,1,8,14,0.022000," ","int(115/4*ln(2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{115 \ln \left(2\right)}{4 x}$&$8$\\ default&$-\frac{115 \ln \left(2\right)}{4 x}$&$8$\\ norman&$-\frac{115 \ln \left(2\right)}{4 x}$&$8$\\ risch&$-\frac{115 \ln \left(2\right)}{4 x}$&$8$\\ \hline \end{longtable}"," ",0,"-115/4*ln(2)/x","A"
6126,1,35,36,0.435000," ","int(((-324*x^3-1215*x^2-729*x)*exp(x/(2*x+3))^2+(1944*x^3+6561*x^2+4374*x)*exp(x/(2*x+3))-2912*x^3-8736*x^2-6552*x)*exp(-81/2*x^2*exp(x/(2*x+3))^2+243*x^2*exp(x/(2*x+3))-364*x^2)*exp(exp(-81/2*x^2*exp(x/(2*x+3))^2+243*x^2*exp(x/(2*x+3))-364*x^2))/(4*x^2+12*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{x^{2} \left(-81 \,{\mathrm e}^{\frac{2 x}{2 x +3}}+486 \,{\mathrm e}^{\frac{x}{2 x +3}}-728\right)}{2}}}$&$35$\\ \hline \end{longtable}"," ",0,"exp(exp(1/2*x^2*(-81*exp(2*x/(2*x+3))+486*exp(x/(2*x+3))-728)))","A"
6127,1,23,19,0.115000," ","int((((-x^2-3*x-2)*exp(1/x)+4*x^2+8*x)*ln(2+x)+x^2*exp(1/x)-4*x^2)/(((x^2+2*x)*exp(1/x)^2+(-8*x^2-16*x)*exp(1/x)+16*x^2+32*x)*ln(2+x)^2+((-2*x^3-4*x^2)*exp(1/x)+8*x^3+16*x^2)*ln(2+x)+x^4+2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{-\ln \left(2+x \right) {\mathrm e}^{\frac{1}{x}}+x +4 \ln \left(2+x \right)}$&$23$\\ \hline \end{longtable}"," ",0,"x/(-ln(2+x)*exp(1/x)+x+4*ln(2+x))","A"
6128,1,46,33,0.102000," ","int(1/8*(exp(9)*exp(1/2*ln(3)+2+1/2*x)+8*exp(9)*(ln(3)+I*Pi)-2*exp(9))/(ln(3)+I*Pi),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{2 \,{\mathrm e}^{9} {\mathrm e}^{\frac{\ln \left(3\right)}{2}+2+\frac{x}{2}}+8 i \pi  \,{\mathrm e}^{9} x +8 \ln \left(3\right) {\mathrm e}^{9} x -2 x \,{\mathrm e}^{9}}{8 \ln \left(3\right)+8 i \pi}$&$46$\\ derivativedivides&$\frac{{\mathrm e}^{9} \left({\mathrm e}^{\frac{\ln \left(3\right)}{2}+2+\frac{x}{2}}+\left(8 i \pi +8 \ln \left(3\right)-2\right) \ln \left({\mathrm e}^{\frac{\ln \left(3\right)}{2}+2+\frac{x}{2}}\right)\right)}{4 \ln \left(3\right)+4 i \pi}$&$47$\\ risch&$\frac{i {\mathrm e}^{9} x \pi}{\ln \left(3\right)+i \pi}+\frac{{\mathrm e}^{9} x \ln \left(3\right)}{\ln \left(3\right)+i \pi}-\frac{{\mathrm e}^{9} x}{4 \left(\ln \left(3\right)+i \pi \right)}+\frac{\sqrt{3}\, {\mathrm e}^{11+\frac{x}{2}}}{4 \ln \left(3\right)+4 i \pi}$&$67$\\ norman&$-\frac{{\mathrm e}^{9} \left(i \pi -\ln \left(3\right)\right) {\mathrm e}^{\frac{\ln \left(3\right)}{2}+2+\frac{x}{2}}}{4 \left(\ln \left(3\right)^{2}+\pi^{2}\right)}+\frac{{\mathrm e}^{9} \left(4 \pi^{2}+i \pi +4 \ln \left(3\right)^{2}-\ln \left(3\right)\right) x}{4 \pi^{2}+4 \ln \left(3\right)^{2}}$&$70$\\ \hline \end{longtable}"," ",0,"1/8/(ln(3)+I*Pi)*(2*exp(9)*exp(1/2*ln(3)+2+1/2*x)+8*I*Pi*exp(9)*x+8*ln(3)*exp(9)*x-2*x*exp(9))","A"
6129,1,12,13,0.024000," ","int(-exp(exp(1)^4+5+x)*exp(-exp(exp(1)^4+5+x)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{4}+x +5}+1}$&$12$\\ derivativedivides&${\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{4}+x +5}+1}$&$14$\\ default&${\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{4}+x +5}+1}$&$14$\\ norman&${\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{4}+x +5}+1}$&$14$\\ \hline \end{longtable}"," ",0,"exp(-exp(exp(4)+x+5)+1)","A"
6130,1,98,22,0.132000," ","int(((5*ln(3)*exp(5*ln(3)/x)+x^2+x)*ln(x)+x)/(x^2*ln(x)*ln(x*ln(x))^2+(-2*x^2*exp(5*ln(3)/x)+2*x^3+16*x^2)*ln(x)*ln(x*ln(x))+(x^2*exp(5*ln(3)/x)^2+(-2*x^3-16*x^2)*exp(5*ln(3)/x)+x^4+16*x^3+64*x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 i}{\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}+2 i x -2 i 243^{\frac{1}{x}}+2 i \ln \left(x \right)+2 i \ln \left(\ln \left(x \right)\right)+16 i}$&$98$\\ \hline \end{longtable}"," ",0,"-2*I/(Pi*csgn(I*x)*csgn(I*ln(x))*csgn(I*x*ln(x))-Pi*csgn(I*x)*csgn(I*x*ln(x))^2-Pi*csgn(I*ln(x))*csgn(I*x*ln(x))^2+Pi*csgn(I*x*ln(x))^3+2*I*x-2*I*243^(1/x)+2*I*ln(x)+2*I*ln(ln(x))+16*I)","C"
6131,1,73,32,0.092000," ","int((-4*exp(x)*exp((exp(x)*x-exp(2))/exp(x))+(x^3+x^2)*exp(x)^3+(-x^3*exp(2)-4*x^3-2*x^2)*exp(x)^2+((2*x^4+2*x^3)*exp(2)-x^5+x^4+3*x^3+x^2)*exp(x)+(-x^5-2*x^4-x^3)*exp(2))/((2*x^2+4*x)*exp(x)*exp((exp(x)*x-exp(2))/exp(x))+x^3*exp(x)^3+(-2*x^4-2*x^3)*exp(x)^2+(x^5+2*x^4+x^3)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\ln \left(2+x \right)-\left({\mathrm e}^{x} x -{\mathrm e}^{2}\right) {\mathrm e}^{-x}+\ln \left({\mathrm e}^{-\left(-{\mathrm e}^{x} x +{\mathrm e}^{2}\right) {\mathrm e}^{-x}}+\frac{\left(x^{2}-2 \,{\mathrm e}^{x} x +{\mathrm e}^{2 x}+2 x -2 \,{\mathrm e}^{x}+1\right) x^{2}}{2 x +4}\right)$&$73$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(2+x)-(exp(x)*x-exp(2))*exp(-x)+ln(exp(-(-exp(x)*x+exp(2))*exp(-x))+1/2*x^2*(x^2-2*exp(x)*x+exp(2*x)+2*x-2*exp(x)+1)/(2+x))","B"
6132,1,26,27,0.085000," ","int(((128*x^2-320)*exp(x)^2+(32*x^3-128*x^2)*exp(x))/((x^7-10*x^5+25*x^3)*exp(x)^2+(-2*x^7+10*x^5)*exp(x)+x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{32 \,{\mathrm e}^{x}}{x^{2} \left({\mathrm e}^{x} x^{2}-x^{2}-5 \,{\mathrm e}^{x}\right)}$&$26$\\ risch&$-\frac{32}{\left(x^{2}-5\right) x^{2}}-\frac{32}{\left(x^{2}-5\right) \left({\mathrm e}^{x} x^{2}-x^{2}-5 \,{\mathrm e}^{x}\right)}$&$41$\\ \hline \end{longtable}"," ",0,"-32*exp(x)/x^2/(exp(x)*x^2-x^2-5*exp(x))","A"
6133,1,46,26,0.528000," ","int(((3*x*exp(4)-4*x^2-48*x)*ln(9*x/(9*exp(4)^2+(-24*x-288)*exp(4)+16*x^2+384*x+2304))^2+6*exp(4)+8*x-96)/((3*x^3*exp(4)-4*x^4-48*x^3)*ln(9*x/(9*exp(4)^2+(-24*x-288)*exp(4)+16*x^2+384*x+2304))^2+(-12*x^2*exp(4)+16*x^3+192*x^2)*ln(9*x/(9*exp(4)^2+(-24*x-288)*exp(4)+16*x^2+384*x+2304))+12*x*exp(4)-16*x^2-192*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{x}-\frac{2}{x \left(x \ln \left(\frac{9 x}{9 \,{\mathrm e}^{8}+\left(-24 x -288\right) {\mathrm e}^{4}+16 x^{2}+384 x +2304}\right)-2\right)}$&$46$\\ norman&$-\frac{\ln \left(\frac{9 x}{9 \,{\mathrm e}^{8}+\left(-24 x -288\right) {\mathrm e}^{4}+16 x^{2}+384 x +2304}\right)}{x \ln \left(\frac{9 x}{9 \,{\mathrm e}^{8}+\left(-24 x -288\right) {\mathrm e}^{4}+16 x^{2}+384 x +2304}\right)-2}$&$69$\\ \hline \end{longtable}"," ",0,"-1/x-2/x/(x*ln(9*x/(9*exp(8)+(-24*x-288)*exp(4)+16*x^2+384*x+2304))-2)","A"
6134,1,212,28,0.310000," ","int(((5*x*exp(9)*exp((2-x)/exp(9))-25*exp(9))*ln((x*exp((2-x)/exp(9))-5)/exp((2-x)/exp(9)))+(5*x*exp(9)*exp((2-x)/exp(9))-25*x)*ln(x)+25*x*exp(9)*exp((2-x)/exp(9))-125*exp(9))*exp(ln(ln((x*exp((2-x)/exp(9))-5)/exp((2-x)/exp(9)))+5)+ln(ln(x)))/((x^2*exp(9)*exp((2-x)/exp(9))-5*x*exp(9))*ln(x)*ln((x*exp((2-x)/exp(9))-5)/exp((2-x)/exp(9)))+(5*x^2*exp(9)*exp((2-x)/exp(9))-25*x*exp(9))*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 \ln \left(x \right) \ln \left({\mathrm e}^{-\left(x -2\right) {\mathrm e}^{-9}}\right)+5 \ln \left(x \right) \ln \left(x \,{\mathrm e}^{-\left(x -2\right) {\mathrm e}^{-9}}-5\right)-\frac{5 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{-\left(x -2\right) {\mathrm e}^{-9}}-5\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x -2\right) {\mathrm e}^{-9}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x -2\right) {\mathrm e}^{-9}} \left(x \,{\mathrm e}^{-\left(x -2\right) {\mathrm e}^{-9}}-5\right)\right)}{2}+\frac{5 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{-\left(x -2\right) {\mathrm e}^{-9}}-5\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x -2\right) {\mathrm e}^{-9}} \left(x \,{\mathrm e}^{-\left(x -2\right) {\mathrm e}^{-9}}-5\right)\right)^{2}}{2}+\frac{5 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x -2\right) {\mathrm e}^{-9}}\right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x -2\right) {\mathrm e}^{-9}} \left(x \,{\mathrm e}^{-\left(x -2\right) {\mathrm e}^{-9}}-5\right)\right)^{2}}{2}-\frac{5 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{\left(x -2\right) {\mathrm e}^{-9}} \left(x \,{\mathrm e}^{-\left(x -2\right) {\mathrm e}^{-9}}-5\right)\right)^{3}}{2}+25 \ln \left(x \right)$&$212$\\ \hline \end{longtable}"," ",0,"-5*ln(x)*ln(exp(-(x-2)*exp(-9)))+5*ln(x)*ln(x*exp(-(x-2)*exp(-9))-5)-5/2*I*Pi*ln(x)*csgn(I*(x*exp(-(x-2)*exp(-9))-5))*csgn(I*exp((x-2)*exp(-9)))*csgn(I*exp((x-2)*exp(-9))*(x*exp(-(x-2)*exp(-9))-5))+5/2*I*Pi*ln(x)*csgn(I*(x*exp(-(x-2)*exp(-9))-5))*csgn(I*exp((x-2)*exp(-9))*(x*exp(-(x-2)*exp(-9))-5))^2+5/2*I*Pi*ln(x)*csgn(I*exp((x-2)*exp(-9)))*csgn(I*exp((x-2)*exp(-9))*(x*exp(-(x-2)*exp(-9))-5))^2-5/2*I*Pi*ln(x)*csgn(I*exp((x-2)*exp(-9))*(x*exp(-(x-2)*exp(-9))-5))^3+25*ln(x)","C"
6135,1,12,14,0.039000," ","int((2*x^3+x^2-18)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\frac{9}{x^{2}}+\ln \left(x \right)$&$12$\\ risch&$2 x +\frac{9}{x^{2}}+\ln \left(x \right)$&$12$\\ norman&$\frac{2 x^{3}+9}{x^{2}}+\ln \left(x \right)$&$15$\\ \hline \end{longtable}"," ",0,"2*x+9/x^2+ln(x)","A"
6136,1,29,21,0.030000," ","int(1/2*(-x^2+4*x-3)*exp(x)+3/2*x^2-12*x+43/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-x^{2}+6 x -9\right) {\mathrm e}^{x}}{2}+\frac{x^{3}}{2}-6 x^{2}+\frac{43 x}{2}$&$29$\\ default&$\frac{43 x}{2}-6 x^{2}+\frac{x^{3}}{2}+3 \,{\mathrm e}^{x} x -\frac{9 \,{\mathrm e}^{x}}{2}-\frac{{\mathrm e}^{x} x^{2}}{2}$&$31$\\ norman&$\frac{43 x}{2}-6 x^{2}+\frac{x^{3}}{2}+3 \,{\mathrm e}^{x} x -\frac{9 \,{\mathrm e}^{x}}{2}-\frac{{\mathrm e}^{x} x^{2}}{2}$&$31$\\ \hline \end{longtable}"," ",0,"1/2*(-x^2+6*x-9)*exp(x)+1/2*x^3-6*x^2+43/2*x","A"
6137,1,14,14,0.038000," ","int((4*x-1)*exp(-2*x^2+x+8)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{-2 x^{2}+x +8}$&$14$\\ norman&$x -{\mathrm e}^{-2 x^{2}+x +8}$&$14$\\ risch&$x -{\mathrm e}^{-2 x^{2}+x +8}$&$14$\\ \hline \end{longtable}"," ",0,"x-exp(-2*x^2+x+8)","A"
6138,1,24,21,0.132000," ","int(((5*exp(1)+5*x-1)*exp(exp(4)+3)+(-5*x^2+2*x)*exp(1)-5*x^3+3*x^2)/((5*exp(1)+5*x)*exp(exp(4)+3)-5*x^2*exp(1)-5*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\frac{\ln \left(-x^{2}+{\mathrm e}^{{\mathrm e}^{4}+3}\right)}{5}-\frac{\ln \left(x +{\mathrm e}\right)}{5}$&$24$\\ default&$x -\frac{\ln \left(x^{2} {\mathrm e}+x^{3}-{\mathrm e}^{{\mathrm e}^{4}+3} x -{\mathrm e}^{4+{\mathrm e}^{4}}\right)}{5}$&$31$\\ risch&$x -\frac{\ln \left(x^{2} {\mathrm e}+x^{3}-{\mathrm e}^{{\mathrm e}^{4}+3} x -{\mathrm e}^{4+{\mathrm e}^{4}}\right)}{5}$&$31$\\ \hline \end{longtable}"," ",0,"x-1/5*ln(-x^2+exp(exp(4)+3))-1/5*ln(x+exp(1))","A"
6139,1,33,30,0.179000," ","int(((-5*exp(-12*x^2+24*x)-x)*ln((5*exp(-12*x^2+24*x)+x)/exp(-12*x^2+24*x))+24*x^3-24*x^2+x)/(5*x^2*exp(-12*x^2+24*x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(\left(5 \,{\mathrm e}^{-12 x^{2}+24 x}+x \right) {\mathrm e}^{12 x^{2}-24 x}\right)}{x}$&$33$\\ risch&$-\frac{\ln \left({\mathrm e}^{-12 \left(x -2\right) x}\right)}{x}+\frac{-i \pi  \,\mathrm{csgn}\left(i \left(5 \,{\mathrm e}^{-12 \left(x -2\right) x}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{12 \left(x -2\right) x}\right) \mathrm{csgn}\left(i {\mathrm e}^{12 \left(x -2\right) x} \left(5 \,{\mathrm e}^{-12 \left(x -2\right) x}+x \right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(5 \,{\mathrm e}^{-12 \left(x -2\right) x}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{12 \left(x -2\right) x} \left(5 \,{\mathrm e}^{-12 \left(x -2\right) x}+x \right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{12 \left(x -2\right) x}\right) \mathrm{csgn}\left(i {\mathrm e}^{12 \left(x -2\right) x} \left(5 \,{\mathrm e}^{-12 \left(x -2\right) x}+x \right)\right)^{2}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{12 \left(x -2\right) x} \left(5 \,{\mathrm e}^{-12 \left(x -2\right) x}+x \right)\right)^{3}+2 \ln \left(5 \,{\mathrm e}^{-12 \left(x -2\right) x}+x \right)}{2 x}$&$197$\\ \hline \end{longtable}"," ",0,"ln((5*exp(-12*x^2+24*x)+x)/exp(-12*x^2+24*x))/x","A"
6140,1,17,17,0.076000," ","int(((-x^2*exp(x)*exp(1/12*exp(x))-12*x^2)*exp(exp(1/12*exp(x))+x)-4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{x}-12 \,{\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{x}}{12}}+x}$&$17$\\ norman&$\frac{4-12 x \,{\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{x}}{12}}+x}}{x}$&$18$\\ \hline \end{longtable}"," ",0,"4/x-12*exp(exp(1/12*exp(x))+x)","A"
6141,1,25,25,0.082000," ","int((((x^3+x^2)*exp(x)+x^2)*ln(x)^4+(2*exp(x)^2*x^2+(6*x^2+6*x)*exp(x)+6*x)*ln(x)^2+(-2*x*exp(x)^2+4*x)*ln(x)+(6*x+3)*exp(x)^2+(9*x+9)*exp(x)+3)/(x^2*ln(x)^4+6*x*ln(x)^2+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x} x +x +\frac{x \left({\mathrm e}^{2 x}-2\right)}{x \ln \left(x \right)^{2}+3}$&$25$\\ \hline \end{longtable}"," ",0,"exp(x)*x+x+x*(exp(2*x)-2)/(x*ln(x)^2+3)","A"
6142,1,21,27,0.042000," ","int(((x^3-4*x^2+6*x-2)*exp(x-1)*ln(x)+(-x^2+3*x-2)*exp(x-1))/(x^4-2*x^3+x^2)/exp(3)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x -2\right) {\mathrm e}^{x -4}}{\ln \left(x \right) \left(x -1\right) x}$&$21$\\ \hline \end{longtable}"," ",0,"1/ln(x)/(x-1)*(x-2)/x*exp(x-4)","A"
6143,1,76,28,0.066000," ","int((x*ln(x)^2-20*x*ln(x)-10*ln(9/ln(5))^4-100*ln(9/ln(5))^2+20*x-248)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{10 \ln \left(\ln \left(5\right)\right)^{4}-80 \ln \left(3\right) \ln \left(\ln \left(5\right)\right)^{3}+240 \ln \left(3\right)^{2} \ln \left(\ln \left(5\right)\right)^{2}-320 \ln \left(3\right)^{3} \ln \left(\ln \left(5\right)\right)+160 \ln \left(3\right)^{4}+100 \ln \left(\ln \left(5\right)\right)^{2}-400 \ln \left(3\right) \ln \left(\ln \left(5\right)\right)+400 \ln \left(3\right)^{2}-20 x +248}{\ln \left(x \right)}$&$76$\\ norman&$\frac{x \ln \left(x \right)-20 x +248+10 \ln \left(\ln \left(5\right)\right)^{4}-80 \ln \left(3\right) \ln \left(\ln \left(5\right)\right)^{3}+240 \ln \left(3\right)^{2} \ln \left(\ln \left(5\right)\right)^{2}-320 \ln \left(3\right)^{3} \ln \left(\ln \left(5\right)\right)+160 \ln \left(3\right)^{4}+100 \ln \left(\ln \left(5\right)\right)^{2}-400 \ln \left(3\right) \ln \left(\ln \left(5\right)\right)+400 \ln \left(3\right)^{2}}{\ln \left(x \right)}$&$77$\\ default&$x +\frac{160 \ln \left(3\right)^{4}}{\ln \left(x \right)}-\frac{320 \ln \left(3\right)^{3} \ln \left(\ln \left(5\right)\right)}{\ln \left(x \right)}+\frac{240 \ln \left(3\right)^{2} \ln \left(\ln \left(5\right)\right)^{2}}{\ln \left(x \right)}-\frac{80 \ln \left(3\right) \ln \left(\ln \left(5\right)\right)^{3}}{\ln \left(x \right)}+\frac{10 \ln \left(\ln \left(5\right)\right)^{4}}{\ln \left(x \right)}+\frac{400 \ln \left(3\right)^{2}}{\ln \left(x \right)}-\frac{400 \ln \left(3\right) \ln \left(\ln \left(5\right)\right)}{\ln \left(x \right)}+\frac{100 \ln \left(\ln \left(5\right)\right)^{2}}{\ln \left(x \right)}-\frac{20 x}{\ln \left(x \right)}+\frac{248}{\ln \left(x \right)}$&$110$\\ \hline \end{longtable}"," ",0,"x+2*(5*ln(ln(5))^4-40*ln(3)*ln(ln(5))^3+120*ln(3)^2*ln(ln(5))^2-160*ln(3)^3*ln(ln(5))+80*ln(3)^4+50*ln(ln(5))^2-200*ln(3)*ln(ln(5))+200*ln(3)^2-10*x+124)/ln(x)","B"
6144,1,87,28,0.081000," ","int((-ln(x)^3+((-9000*x^2+1200*x)*exp(225*x^2-60*x+4)^2+(9000*x^2-1200*x)*exp(225*x^2-60*x+4))*ln(x)^2+((1800*x^2-240*x)*exp(225*x^2-60*x+4)^4+(-5400*x^2+720*x)*exp(225*x^2-60*x+4)^3+(5400*x^2-720*x+10)*exp(225*x^2-60*x+4)^2+(-1800*x^2+240*x-20)*exp(225*x^2-60*x+4)+10)*ln(x)-2*exp(225*x^2-60*x+4)^4+8*exp(225*x^2-60*x+4)^3-12*exp(225*x^2-60*x+4)^2+8*exp(225*x^2-60*x+4)-2)/x/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\frac{{\mathrm e}^{4 \left(15 x -2\right)^{2}}-4 \,{\mathrm e}^{3 \left(15 x -2\right)^{2}}-10 \ln \left(x \right) {\mathrm e}^{2 \left(15 x -2\right)^{2}}+6 \,{\mathrm e}^{2 \left(15 x -2\right)^{2}}+20 \ln \left(x \right) {\mathrm e}^{\left(15 x -2\right)^{2}}-4 \,{\mathrm e}^{\left(15 x -2\right)^{2}}-10 \ln \left(x \right)+1}{\ln \left(x \right)^{2}}$&$87$\\ \hline \end{longtable}"," ",0,"-ln(x)+(exp(4*(15*x-2)^2)-4*exp(3*(15*x-2)^2)-10*ln(x)*exp(2*(15*x-2)^2)+6*exp(2*(15*x-2)^2)+20*ln(x)*exp((15*x-2)^2)-4*exp((15*x-2)^2)-10*ln(x)+1)/ln(x)^2","B"
6145,1,703,26,1.083000," ","int(((10*x^4-10*x^3+10*x^2-10*x)*exp(x^2)*ln(x^2-x)^2+(20*x^4-20*x^3+40*x^2-30*x)*exp(x^2)*ln(x^2-x)+(10*x^4-10*x^3+30*x^2-20*x)*exp(x^2))/((x^5-x^4)*exp(x^2)^2*ln(x^2-x)^4+(4*x^5-4*x^4)*exp(x^2)^2*ln(x^2-x)^3+((6*x^5-6*x^4)*exp(x^2)^2+(-4*x^3+4*x^2)*exp(x^2))*ln(x^2-x)^2+((4*x^5-4*x^4)*exp(x^2)^2+(-8*x^3+8*x^2)*exp(x^2))*ln(x^2-x)+(x^5-x^4)*exp(x^2)^2+(-4*x^3+4*x^2)*exp(x^2)+4*x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{20}{8-8 x^{2} {\mathrm e}^{x^{2}} \ln \left(x \right)-4 x^{2} {\mathrm e}^{x^{2}}-4 i {\mathrm e}^{x^{2}} \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \ln \left(x -1\right)-4 i {\mathrm e}^{x^{2}} \pi  \,x^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \ln \left(x \right)-4 i {\mathrm e}^{x^{2}} \pi  \,x^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \ln \left(x -1\right)-4 i {\mathrm e}^{x^{2}} \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} \ln \left(x \right)+4 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right) {\mathrm e}^{x^{2}}+{\mathrm e}^{x^{2}} \pi^{2} x^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{6}-8 \,{\mathrm e}^{x^{2}} x^{2} \ln \left(x \right) \ln \left(x -1\right)-8 x^{2} {\mathrm e}^{x^{2}} \ln \left(x -1\right)-4 \,{\mathrm e}^{x^{2}} x^{2} \ln \left(x \right)^{2}-4 \,{\mathrm e}^{x^{2}} x^{2} \ln \left(x -1\right)^{2}+4 \,{\mathrm e}^{x^{2}} \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4}-2 \,{\mathrm e}^{x^{2}} \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}-2 \,{\mathrm e}^{x^{2}} \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}+{\mathrm e}^{x^{2}} \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}-4 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} {\mathrm e}^{x^{2}}+{\mathrm e}^{x^{2}} \pi^{2} x^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4}-2 \,{\mathrm e}^{x^{2}} \pi^{2} x^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{5}+{\mathrm e}^{x^{2}} \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{4}-2 \,{\mathrm e}^{x^{2}} \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{5}+4 i \pi  \,x^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} {\mathrm e}^{x^{2}}-4 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2} {\mathrm e}^{x^{2}}+4 i {\mathrm e}^{x^{2}} \pi  \,x^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} \ln \left(x -1\right)+4 i {\mathrm e}^{x^{2}} \pi  \,x^{2} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3} \ln \left(x \right)+4 i {\mathrm e}^{x^{2}} \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right) \ln \left(x \right)+4 i {\mathrm e}^{x^{2}} \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right) \ln \left(x -1\right)}$&$703$\\ \hline \end{longtable}"," ",0,"20/(8-8*x^2*exp(x^2)*ln(x)-4*x^2*exp(x^2)+exp(x^2)*Pi^2*x^2*csgn(I*x*(x-1))^6-8*exp(x^2)*x^2*ln(x)*ln(x-1)+4*I*Pi*x^2*csgn(I*x*(x-1))^3*exp(x^2)+exp(x^2)*Pi^2*x^2*csgn(I*(x-1))^2*csgn(I*x*(x-1))^4-2*exp(x^2)*Pi^2*x^2*csgn(I*(x-1))*csgn(I*x*(x-1))^5+exp(x^2)*Pi^2*x^2*csgn(I*x)^2*csgn(I*x*(x-1))^4-2*exp(x^2)*Pi^2*x^2*csgn(I*x)*csgn(I*x*(x-1))^5-8*x^2*exp(x^2)*ln(x-1)-4*exp(x^2)*x^2*ln(x)^2-4*exp(x^2)*x^2*ln(x-1)^2-4*I*exp(x^2)*Pi*x^2*csgn(I*x)*csgn(I*x*(x-1))^2*ln(x-1)-4*I*exp(x^2)*Pi*x^2*csgn(I*(x-1))*csgn(I*x*(x-1))^2*ln(x)-4*I*exp(x^2)*Pi*x^2*csgn(I*(x-1))*csgn(I*x*(x-1))^2*ln(x-1)-4*I*exp(x^2)*Pi*x^2*csgn(I*x)*csgn(I*x*(x-1))^2*ln(x)+4*exp(x^2)*Pi^2*x^2*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))^4-2*exp(x^2)*Pi^2*x^2*csgn(I*x)*csgn(I*(x-1))^2*csgn(I*x*(x-1))^3-2*exp(x^2)*Pi^2*x^2*csgn(I*x)^2*csgn(I*(x-1))*csgn(I*x*(x-1))^3+exp(x^2)*Pi^2*x^2*csgn(I*x)^2*csgn(I*(x-1))^2*csgn(I*x*(x-1))^2-4*I*Pi*x^2*csgn(I*x)*csgn(I*x*(x-1))^2*exp(x^2)-4*I*Pi*x^2*csgn(I*(x-1))*csgn(I*x*(x-1))^2*exp(x^2)+4*I*exp(x^2)*Pi*x^2*csgn(I*x*(x-1))^3*ln(x-1)+4*I*exp(x^2)*Pi*x^2*csgn(I*x*(x-1))^3*ln(x)+4*I*exp(x^2)*Pi*x^2*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))*ln(x)+4*I*exp(x^2)*Pi*x^2*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))*ln(x-1)+4*I*Pi*x^2*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))*exp(x^2))","C"
6146,1,20,23,0.066000," ","int(((2*x^2-3)*ln(ln(3))^2+5)/x^2/ln(ln(3))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{3}{x}-\frac{5}{\ln \left(\ln \left(3\right)\right)^{2} x}$&$20$\\ gosper&$\frac{2 \ln \left(\ln \left(3\right)\right)^{2} x^{2}-5+3 \ln \left(\ln \left(3\right)\right)^{2}}{\ln \left(\ln \left(3\right)\right)^{2} x}$&$29$\\ default&$\frac{2 x \ln \left(\ln \left(3\right)\right)^{2}-\frac{-3 \ln \left(\ln \left(3\right)\right)^{2}+5}{x}}{\ln \left(\ln \left(3\right)\right)^{2}}$&$30$\\ norman&$\frac{\frac{3 \ln \left(\ln \left(3\right)\right)^{2}-5}{\ln \left(\ln \left(3\right)\right)}+2 x^{2} \ln \left(\ln \left(3\right)\right)}{\ln \left(\ln \left(3\right)\right) x}$&$34$\\ \hline \end{longtable}"," ",0,"2*x+3/x-5/ln(ln(3))^2/x","A"
6147,1,22,20,0.021000," ","int(1/5*(6*x*ln(x)-72*x^3-400*x^2+11*x+50)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{6 x \ln \left(x \right)}{5}+x -\frac{24 x^{3}}{5}-40 x^{2}+10 \ln \left(x \right)$&$22$\\ norman&$\frac{6 x \ln \left(x \right)}{5}+x -\frac{24 x^{3}}{5}-40 x^{2}+10 \ln \left(x \right)$&$22$\\ risch&$\frac{6 x \ln \left(x \right)}{5}+x -\frac{24 x^{3}}{5}-40 x^{2}+10 \ln \left(x \right)$&$22$\\ \hline \end{longtable}"," ",0,"6/5*x*ln(x)+x-24/5*x^3-40*x^2+10*ln(x)","A"
6148,1,15,23,0.056000," ","int(1/15*(60*ln(2)+15*x^3-2*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{2}{15 x}-\frac{2 \ln \left(2\right)}{x^{2}}$&$15$\\ norman&$\frac{x^{3}+\frac{2 x}{15}-2 \ln \left(2\right)}{x^{2}}$&$16$\\ risch&$x +\frac{-30 \ln \left(2\right)+2 x}{15 x^{2}}$&$16$\\ gosper&$-\frac{-15 x^{3}+30 \ln \left(2\right)-2 x}{15 x^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"x+2/15/x-2*ln(2)/x^2","A"
6149,1,18,17,0.066000," ","int((-ln(x)+(-18*Pi^2*x^2-1)*exp(-9*Pi^2*x^2)+3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(x \right)+{\mathrm e}^{-9 \pi^{2} x^{2}}-2}{x}$&$18$\\ risch&$\frac{\ln \left(x \right)}{x}+\frac{-2+{\mathrm e}^{-9 \pi^{2} x^{2}}}{x}$&$23$\\ default&$-\frac{2}{x}+\frac{\ln \left(x \right)}{x}+\frac{{\mathrm e}^{-9 \pi^{2} x^{2}}}{x}$&$26$\\ \hline \end{longtable}"," ",0,"(ln(x)+exp(-9*Pi^2*x^2)-2)/x","A"
6150,1,39,21,0.034000," ","int(1/5*((72*x^2-1800)*ln(x)^2+(-144*x^4-480*x^3+144*x^2+1440*x+3600)*ln(x)+40*x^6-48*x^4-240*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{72 \left(x^{2}+10 x +25\right) \ln \left(x \right)^{2}}{5 x}+\frac{\left(-48 x^{3}-240 x^{2}\right) \ln \left(x \right)}{5}+\frac{8 x^{5}}{5}$&$39$\\ default&$\frac{8 x^{5}}{5}-\frac{48 x^{3} \ln \left(x \right)}{5}+\frac{72 x \ln \left(x \right)^{2}}{5}-48 x^{2} \ln \left(x \right)+\frac{360 \ln \left(x \right)^{2}}{x}+144 \ln \left(x \right)^{2}$&$43$\\ norman&$\frac{\frac{8 x^{6}}{5}+360 \ln \left(x \right)^{2}+144 x \ln \left(x \right)^{2}+\frac{72 x^{2} \ln \left(x \right)^{2}}{5}-48 x^{3} \ln \left(x \right)-\frac{48 x^{4} \ln \left(x \right)}{5}}{x}$&$47$\\ \hline \end{longtable}"," ",0,"72/5*(x^2+10*x+25)/x*ln(x)^2+1/5*(-48*x^3-240*x^2)*ln(x)+8/5*x^5","A"
6151,1,24,25,0.043000," ","int((-2*x^6-32*x^3+104*x^2+144*x-192)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x^{6}-32 x^{3}+52 x^{2}+48 x -48}{x^{4}}$&$24$\\ norman&$\frac{-x^{6}+32 x^{3}-52 x^{2}-48 x +48}{x^{4}}$&$25$\\ risch&$-x^{2}+\frac{32 x^{3}-52 x^{2}-48 x +48}{x^{4}}$&$26$\\ default&$-x^{2}+\frac{48}{x^{4}}+\frac{32}{x}-\frac{52}{x^{2}}-\frac{48}{x^{3}}$&$27$\\ \hline \end{longtable}"," ",0,"-(x^6-32*x^3+52*x^2+48*x-48)/x^4","A"
6152,1,26,19,0.145000," ","int((-2*x^6+2*x^5-3*x^4+4*x^3-3*x^2+2*x)*exp(x^2-4)/(x^4+2*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{\left(x^{3}-x^{2}-1\right) {\mathrm e}^{x^{2}-4}}{x^{2}+1}$&$26$\\ risch&$-\frac{\left(x^{3}-x^{2}-1\right) {\mathrm e}^{\left(x -2\right) \left(2+x \right)}}{x^{2}+1}$&$28$\\ norman&$\frac{{\mathrm e}^{x^{2}-4} x^{2}-x^{3} {\mathrm e}^{x^{2}-4}+{\mathrm e}^{x^{2}-4}}{x^{2}+1}$&$37$\\ \hline \end{longtable}"," ",0,"-(x^3-x^2-1)*exp(x^2-4)/(x^2+1)","A"
6153,1,11,18,0.042000," ","int((25*x^2+75)/(18*x^4-108*x^2+162),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{25 x}{18 \left(x^{2}-3\right)}$&$11$\\ default&$-\frac{25 x}{18 \left(x^{2}-3\right)}$&$11$\\ norman&$-\frac{25 x}{18 \left(x^{2}-3\right)}$&$11$\\ risch&$-\frac{25 x}{18 \left(x^{2}-3\right)}$&$11$\\ \hline \end{longtable}"," ",0,"-25/18*x/(x^2-3)","A"
6154,1,5,14,0.020000," ","int(-exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{x}$&$5$\\ derivativedivides&$-{\mathrm e}^{x}$&$5$\\ default&$-{\mathrm e}^{x}$&$5$\\ norman&$-{\mathrm e}^{x}$&$5$\\ risch&$-{\mathrm e}^{x}$&$5$\\ meijerg&$1-{\mathrm e}^{x}$&$7$\\ \hline \end{longtable}"," ",0,"-exp(x)","A"
6155,1,51,18,0.070000," ","int(4*x*exp(1/8*exp(8))^2+(-12*x^2+40*x-36)*exp(1/8*exp(8))+8*x^3-60*x^2+172*x-180,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$2 x \left(x \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{4}}-2 \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{8}} x^{2}+x^{3}+10 \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{8}} x -10 x^{2}-18 \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{8}}+43 x -90\right)$&$51$\\ norman&$\left(-36 \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{8}}-180\right) x +\left(-4 \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{8}}-20\right) x^{3}+\left(2 \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{4}}+20 \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{8}}+86\right) x^{2}+2 x^{4}$&$51$\\ default&$2 \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{4}} x^{2}+{\mathrm e}^{\frac{{\mathrm e}^{8}}{8}} \left(-4 x^{3}+20 x^{2}-36 x \right)+2 x^{4}-20 x^{3}+86 x^{2}-180 x$&$52$\\ risch&$2 \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{4}} x^{2}-4 \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{8}} x^{3}+20 \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{8}} x^{2}-36 \,{\mathrm e}^{\frac{{\mathrm e}^{8}}{8}} x +2 x^{4}-20 x^{3}+86 x^{2}-180 x$&$58$\\ \hline \end{longtable}"," ",0,"2*x*(x*exp(1/8*exp(8))^2-2*exp(1/8*exp(8))*x^2+x^3+10*exp(1/8*exp(8))*x-10*x^2-18*exp(1/8*exp(8))+43*x-90)","B"
6156,1,25,25,0.620000," ","int(((-x^2*exp(5)+x^3+x^2+20*x)*ln(-x*exp(5)+x^2+x+20)^2+(4*exp(5)-8*x-4)*ln(-x*exp(5)+x^2+x+20))/(2*x*exp(5)-2*x^2-2*x-40)/exp(1/4*x^2-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-x \,{\mathrm e}^{5}+x^{2}+x +20\right)^{2} {\mathrm e}^{-\frac{\left(x -2\right) \left(2+x \right)}{4}}$&$25$\\ \hline \end{longtable}"," ",0,"ln(-x*exp(5)+x^2+x+20)^2*exp(-1/4*(x-2)*(2+x))","A"
6157,1,21,21,0.622000," ","int((((-2*x^3-2*x^2+10*x)*exp(x^2)+2*x+1)*exp(-ln(x^2+x-5)+exp(x^2))*exp(exp(-ln(x^2+x-5)+exp(x^2)))*exp(exp(exp(-ln(x^2+x-5)+exp(x^2))))+x^2+x-5)/(x^2+x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -{\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{x^{2}}}}{x^{2}+x -5}}}$&$21$\\ \hline \end{longtable}"," ",0,"x-exp(exp(1/(x^2+x-5)*exp(exp(x^2))))","A"
6158,1,26,23,0.115000," ","int(((-45*x+25)*ln(-9/5*x+1)-9*x^3-40*x^2+45*x)/((225*x^3-575*x^2+475*x-125)*ln(-9/5*x+1)^2+(90*x^4-140*x^3+50*x^2)*ln(-9/5*x+1)+9*x^5-5*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{5 \ln \left(-\frac{9 x}{5}+1\right) x +x^{2}-5 \ln \left(-\frac{9 x}{5}+1\right)}$&$26$\\ risch&$\frac{x}{5 \ln \left(-\frac{9 x}{5}+1\right) x +x^{2}-5 \ln \left(-\frac{9 x}{5}+1\right)}$&$26$\\ \hline \end{longtable}"," ",0,"x/(5*ln(-9/5*x+1)*x+x^2-5*ln(-9/5*x+1))","A"
6159,1,30,27,0.455000," ","int(1/5*(((-8*x^2-32*x+96)*exp(3)^2+(-120*x^3-720*x^2+480*x+2880)*exp(3)-400*x^4-2800*x^3+14400*x)*exp(1/25*(4*x^2+48*x+144)*exp(3)^2+1/25*(40*x^3+480*x^2+1440*x)*exp(3)+4*x^4+48*x^3+144*x^2)-25)*exp(exp(1/25*(4*x^2+48*x+144)*exp(3)^2+1/25*(40*x^3+480*x^2+1440*x)*exp(3)+4*x^4+48*x^3+144*x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-25 x +50\right) {\mathrm e}^{{\mathrm e}^{\frac{4 \left(x +6\right)^{2} \left(10 x \,{\mathrm e}^{3}+25 x^{2}+{\mathrm e}^{6}\right)}{25}}}}{5}$&$30$\\ norman&$-5 x \,{\mathrm e}^{{\mathrm e}^{\frac{\left(4 x^{2}+48 x +144\right) {\mathrm e}^{6}}{25}+\frac{\left(40 x^{3}+480 x^{2}+1440 x \right) {\mathrm e}^{3}}{25}+4 x^{4}+48 x^{3}+144 x^{2}}}+10 \,{\mathrm e}^{{\mathrm e}^{\frac{\left(4 x^{2}+48 x +144\right) {\mathrm e}^{6}}{25}+\frac{\left(40 x^{3}+480 x^{2}+1440 x \right) {\mathrm e}^{3}}{25}+4 x^{4}+48 x^{3}+144 x^{2}}}$&$111$\\ \hline \end{longtable}"," ",0,"1/5*(-25*x+50)*exp(exp(4/25*(x+6)^2*(10*x*exp(3)+25*x^2+exp(6))))","A"
6160,1,6,5,0.017000," ","int(1/5*(-x-1)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{{\mathrm e}^{x} x}{5}$&$6$\\ default&$-\frac{{\mathrm e}^{x} x}{5}$&$6$\\ norman&$-\frac{{\mathrm e}^{x} x}{5}$&$6$\\ risch&$-\frac{{\mathrm e}^{x} x}{5}$&$6$\\ meijerg&$-\frac{{\mathrm e}^{x}}{5}+\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{10}$&$15$\\ \hline \end{longtable}"," ",0,"-1/5*exp(x)*x","A"
6161,1,53,29,5.468000," ","int(((2*(-x^2-5*x)*ln(2)+(-2*x^3-9*x^2+5*x)*exp(4)-x^4-5*x^3-2*x^2-10*x)*ln(1/x*(5+x))^2+(2*(-10*exp(4)-10*x)*ln(2)+(10*x^2-10*x-20)*exp(4)+10*x^3-10*x^2-20*x)*ln(1/x*(5+x)))/((x^2+5*x)*exp(4)^2+(2*x^3+10*x^2)*exp(4)+x^4+5*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \ln \left(\frac{5+x}{x}\right)^{2}+\left(2+2 \ln \left(2\right)\right) \ln \left(\frac{5+x}{x}\right)^{2}-\ln \left(\frac{5+x}{x}\right)^{2} x^{2}}{x +{\mathrm e}^{4}}$&$53$\\ \hline \end{longtable}"," ",0,"(x*ln(1/x*(5+x))^2+(2+2*ln(2))*ln(1/x*(5+x))^2-ln(1/x*(5+x))^2*x^2)/(x+exp(4))","A"
6162,1,19,21,0.034000," ","int((16*x^2-4)/(4*x^3+5*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 \ln \left(x \right)+4 \ln \left(4 x^{2}+5 x +1\right)$&$19$\\ default&$4 \ln \left(4 x +1\right)-4 \ln \left(x \right)+4 \ln \left(x +1\right)$&$20$\\ norman&$4 \ln \left(4 x +1\right)-4 \ln \left(x \right)+4 \ln \left(x +1\right)$&$20$\\ \hline \end{longtable}"," ",0,"-4*ln(x)+4*ln(4*x^2+5*x+1)","A"
6163,1,23,19,0.320000," ","int((-81*exp(4)*exp(x)+675*x^2*exp(4)*exp(5))/(81*exp(x)^2+(-486*ln(2)-450*x^3*exp(5))*exp(x)+729*ln(2)^2+1350*x^3*exp(5)*ln(2)+625*x^6*exp(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{9 \,{\mathrm e}^{4}}{25 x^{3} {\mathrm e}^{5}-9 \,{\mathrm e}^{x}+27 \ln \left(2\right)}$&$23$\\ risch&$-\frac{9 \,{\mathrm e}^{4}}{25 x^{3} {\mathrm e}^{5}-9 \,{\mathrm e}^{x}+27 \ln \left(2\right)}$&$23$\\ \hline \end{longtable}"," ",0,"-9*exp(4)/(25*x^3*exp(5)-9*exp(x)+27*ln(2))","A"
6164,0,0,25,0.039000," ","int(1/6*((x-1)*exp(x)*ln(1/2*x)*ln(x*ln(1/2*x)/(ln(2)-4))*ln(ln(x*ln(1/2*x)/(ln(2)-4)))-18*ln(1/2*x)*ln(x*ln(1/2*x)/(ln(2)-4))+exp(x)*ln(1/2*x)+exp(x))/x^2/ln(1/2*x)/ln(x*ln(1/2*x)/(ln(2)-4)),x)","\[\int \frac{\left(x -1\right) {\mathrm e}^{x} \ln \left(\frac{x}{2}\right) \ln \left(\frac{x \ln \left(\frac{x}{2}\right)}{\ln \left(2\right)-4}\right) \ln \left(\ln \left(\frac{x \ln \left(\frac{x}{2}\right)}{\ln \left(2\right)-4}\right)\right)-18 \ln \left(\frac{x}{2}\right) \ln \left(\frac{x \ln \left(\frac{x}{2}\right)}{\ln \left(2\right)-4}\right)+{\mathrm e}^{x} \ln \left(\frac{x}{2}\right)+{\mathrm e}^{x}}{6 x^{2} \ln \left(\frac{x}{2}\right) \ln \left(\frac{x \ln \left(\frac{x}{2}\right)}{\ln \left(2\right)-4}\right)}\, dx\]"," ",0,"int(1/6*((x-1)*exp(x)*ln(1/2*x)*ln(x*ln(1/2*x)/(ln(2)-4))*ln(ln(x*ln(1/2*x)/(ln(2)-4)))-18*ln(1/2*x)*ln(x*ln(1/2*x)/(ln(2)-4))+exp(x)*ln(1/2*x)+exp(x))/x^2/ln(1/2*x)/ln(x*ln(1/2*x)/(ln(2)-4)),x)","F"
6165,1,77,25,1.200000," ","int((((4*x^4-4*x^3)*exp(1/x)^4+(-72*x^3+72*x^2)*exp(1/x)^3+(8*x^4-4*x^3+424*x^2-424*x)*exp(1/x)^2+(-72*x^3+24*x^2-816*x+816)*exp(1/x)+4*x^4+136*x^2)*ln(1/16*x)^4+(4*x^4*exp(1/x)^4-96*x^3*exp(1/x)^3+(8*x^4+848*x^2)*exp(1/x)^2+(-96*x^3-3264*x)*exp(1/x)+4*x^4+272*x^2+4624)*ln(1/16*x)^3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{4} {\mathrm e}^{\frac{4}{x}}+2 \,{\mathrm e}^{\frac{2}{x}} x^{4}-24 x^{3} {\mathrm e}^{\frac{3}{x}}+x^{4}-24 x^{3} {\mathrm e}^{\frac{1}{x}}+212 x^{2} {\mathrm e}^{\frac{2}{x}}+68 x^{2}-816 x \,{\mathrm e}^{\frac{1}{x}}+1156\right) \ln \left(\frac{x}{16}\right)^{4}$&$77$\\ \hline \end{longtable}"," ",0,"(x^4*exp(4/x)+2*exp(2/x)*x^4-24*x^3*exp(3/x)+x^4-24*x^3*exp(1/x)+212*x^2*exp(2/x)+68*x^2-816*x*exp(1/x)+1156)*ln(1/16*x)^4","B"
6166,1,26,24,0.610000," ","int(((exp(4)*ln(x)^2+(7*exp(4)+1)*ln(x)+6*exp(4)+6)*ln((ln(2)+5)/(ln(x)+6))+exp(4)*ln(x)+1)/(x*exp(4)*ln(x)^2+(6*x*exp(4)+x)*ln(x)+6*x)/ln((ln(2)+5)/(ln(x)+6)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left(\ln \left(x \right)+{\mathrm e}^{-4}\right)-\ln \left(\ln \left(\ln \left(x \right)+6\right)-\ln \left(\ln \left(2\right)+5\right)\right)$&$26$\\ norman&$\ln \left(x \right)-\ln \left(\ln \left(\frac{\ln \left(2\right)+5}{\ln \left(x \right)+6}\right)\right)+\ln \left({\mathrm e}^{4} \ln \left(x \right)+1\right)$&$27$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(ln(x)+exp(-4))-ln(ln(ln(x)+6)-ln(ln(2)+5))","A"
6167,1,31,26,0.238000," ","int(((4*x^3+12*x^2+12*x+4)*ln((9*x+18)/x)+(-x^3-x^2+2*x)*ln(5))/(x^5+5*x^4+9*x^3+7*x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(5\right)}{\left(x +1\right)^{2}}+\frac{\ln \left(5\right)}{x +1}-\ln \left(9+\frac{18}{x}\right)^{2}$&$31$\\ derivativedivides&$-\frac{324 \ln \left(5\right)}{\left(\frac{18}{x}+18\right)^{2}}+\frac{18 \ln \left(5\right)}{\frac{18}{x}+18}-\ln \left(9+\frac{18}{x}\right)^{2}$&$40$\\ default&$-\frac{324 \ln \left(5\right)}{\left(\frac{18}{x}+18\right)^{2}}+\frac{18 \ln \left(5\right)}{\frac{18}{x}+18}-\ln \left(9+\frac{18}{x}\right)^{2}$&$40$\\ norman&$\frac{x \ln \left(5\right)-\ln \left(\frac{9 x +18}{x}\right)^{2}-2 x \ln \left(\frac{9 x +18}{x}\right)^{2}-x^{2} \ln \left(\frac{9 x +18}{x}\right)^{2}}{\left(x +1\right)^{2}}$&$58$\\ \hline \end{longtable}"," ",0,"-ln(5)/(x+1)^2+ln(5)/(x+1)-ln(9+18/x)^2","A"
6168,1,60,22,0.059000," ","int(((-1250*x+625)*ln(x)*ln(ln(x))^2+(-625*x-625)*exp(x)*ln(x)*ln(ln(x))+625*exp(x))/((625*x^4-1250*x^3+575*x^2+50*x+1)*ln(x)*ln(ln(x))^2+(1250*x^3-1250*x^2-50*x)*exp(x)*ln(x)*ln(ln(x))+625*x^2*exp(x)^2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25}{25 x^{2}-25 x -1}-\frac{625 x \,{\mathrm e}^{x}}{\left(25 x^{2}-25 x -1\right) \left(25 x^{2} \ln \left(\ln \left(x \right)\right)-25 x \ln \left(\ln \left(x \right)\right)+25 \,{\mathrm e}^{x} x -\ln \left(\ln \left(x \right)\right)\right)}$&$60$\\ \hline \end{longtable}"," ",0,"25/(25*x^2-25*x-1)-625*x*exp(x)/(25*x^2-25*x-1)/(25*x^2*ln(ln(x))-25*x*ln(ln(x))+25*exp(x)*x-ln(ln(x)))","B"
6169,1,20,19,0.538000," ","int(((2*x^2+28*x+18)*exp(5*x/(2+x))+2*x^2+8*x+8)/(x^2+4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\left(2 x +1\right) {\mathrm e}^{\frac{5 x}{2+x}}$&$20$\\ derivativedivides&$2 \,{\mathrm e}^{5-\frac{10}{2+x}} \left(2+x \right)+4+2 x -3 \,{\mathrm e}^{5-\frac{10}{2+x}}$&$33$\\ default&$2 \,{\mathrm e}^{5-\frac{10}{2+x}} \left(2+x \right)+4+2 x -3 \,{\mathrm e}^{5-\frac{10}{2+x}}$&$33$\\ norman&$\frac{2 x^{2}+5 \,{\mathrm e}^{\frac{5 x}{2+x}} x +2 \,{\mathrm e}^{\frac{5 x}{2+x}} x^{2}+2 \,{\mathrm e}^{\frac{5 x}{2+x}}-8}{2+x}$&$51$\\ \hline \end{longtable}"," ",0,"2*x+(2*x+1)*exp(5*x/(2+x))","A"
6170,1,27,26,0.526000," ","int(((1792*x^6+768*x^5+80*x^4)*ln(3)^2+(-896*x^7-384*x^6-40*x^5+80)*ln(3)+112*x^8+48*x^7+5*x^6)/(16*ln(3)^2-8*x*ln(3)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$16 x^{7}+8 x^{6}+x^{5}-\frac{80 \ln \left(3\right)}{-4 \ln \left(3\right)+x}$&$27$\\ risch&$16 x^{7}+8 x^{6}+x^{5}+\frac{20 \ln \left(3\right)}{\ln \left(3\right)-\frac{x}{4}}$&$27$\\ norman&$\frac{-16 x^{8}+\left(64 \ln \left(3\right)-8\right) x^{7}+\left(32 \ln \left(3\right)-1\right) x^{6}+4 x^{5} \ln \left(3\right)+80 \ln \left(3\right)}{4 \ln \left(3\right)-x}$&$49$\\ gosper&$\frac{64 \ln \left(3\right) x^{7}-16 x^{8}+32 x^{6} \ln \left(3\right)-8 x^{7}+4 x^{5} \ln \left(3\right)-x^{6}+80 \ln \left(3\right)}{4 \ln \left(3\right)-x}$&$53$\\ meijerg&$-1835008 \ln \left(3\right)^{7} \left(-\frac{x \left(-\frac{45 x^{7}}{16384 \ln \left(3\right)^{7}}-\frac{15 x^{6}}{1024 \ln \left(3\right)^{6}}-\frac{21 x^{5}}{256 \ln \left(3\right)^{5}}-\frac{63 x^{4}}{128 \ln \left(3\right)^{4}}-\frac{105 x^{3}}{32 \ln \left(3\right)^{3}}-\frac{105 x^{2}}{4 \ln \left(3\right)^{2}}-\frac{315 x}{\ln \left(3\right)}+2520\right)}{1260 \ln \left(3\right) \left(1-\frac{x}{4 \ln \left(3\right)}\right)}-8 \ln \left(1-\frac{x}{4 \ln \left(3\right)}\right)\right)+65536 \ln \left(3\right)^{6} \left(-56 \ln \left(3\right)+3\right) \left(\frac{x \left(-\frac{5 x^{6}}{1024 \ln \left(3\right)^{6}}-\frac{7 x^{5}}{256 \ln \left(3\right)^{5}}-\frac{21 x^{4}}{128 \ln \left(3\right)^{4}}-\frac{35 x^{3}}{32 \ln \left(3\right)^{3}}-\frac{35 x^{2}}{4 \ln \left(3\right)^{2}}-\frac{105 x}{\ln \left(3\right)}+840\right)}{480 \ln \left(3\right) \left(1-\frac{x}{4 \ln \left(3\right)}\right)}+7 \ln \left(1-\frac{x}{4 \ln \left(3\right)}\right)\right)-16384 \ln \left(3\right)^{5} \left(112 \ln \left(3\right)^{2}-24 \ln \left(3\right)+\frac{5}{16}\right) \left(-\frac{x \left(-\frac{7 x^{5}}{512 \ln \left(3\right)^{5}}-\frac{21 x^{4}}{256 \ln \left(3\right)^{4}}-\frac{35 x^{3}}{64 \ln \left(3\right)^{3}}-\frac{35 x^{2}}{8 \ln \left(3\right)^{2}}-\frac{105 x}{2 \ln \left(3\right)}+420\right)}{280 \ln \left(3\right) \left(1-\frac{x}{4 \ln \left(3\right)}\right)}-6 \ln \left(1-\frac{x}{4 \ln \left(3\right)}\right)\right)+4096 \ln \left(3\right)^{4} \left(48 \ln \left(3\right)^{2}-\frac{5 \ln \left(3\right)}{2}\right) \left(\frac{x \left(-\frac{3 x^{4}}{256 \ln \left(3\right)^{4}}-\frac{5 x^{3}}{64 \ln \left(3\right)^{3}}-\frac{5 x^{2}}{8 \ln \left(3\right)^{2}}-\frac{15 x}{2 \ln \left(3\right)}+60\right)}{48 \ln \left(3\right) \left(1-\frac{x}{4 \ln \left(3\right)}\right)}+5 \ln \left(1-\frac{x}{4 \ln \left(3\right)}\right)\right)-5120 \ln \left(3\right)^{5} \left(-\frac{x \left(-\frac{5 x^{3}}{64 \ln \left(3\right)^{3}}-\frac{5 x^{2}}{8 \ln \left(3\right)^{2}}-\frac{15 x}{2 \ln \left(3\right)}+60\right)}{60 \ln \left(3\right) \left(1-\frac{x}{4 \ln \left(3\right)}\right)}-4 \ln \left(1-\frac{x}{4 \ln \left(3\right)}\right)\right)+\frac{5 x}{\ln \left(3\right) \left(1-\frac{x}{4 \ln \left(3\right)}\right)}$&$459$\\ \hline \end{longtable}"," ",0,"16*x^7+8*x^6+x^5-80*ln(3)/(-4*ln(3)+x)","A"
6171,1,336,21,1.121000," ","int((((x^2+3)*exp((x^2-3)/x)-2*x^2)*ln(1/16*x^4)*ln(ln(1/16*x^4))+4*x*exp((x^2-3)/x)-8*x^2+24*x)/x^2/ln(1/16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-2 x +{\mathrm e}^{\frac{x^{2}-3}{x}}\right) \ln \left(-4 \ln \left(2\right)+4 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x^{3}\right)\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}\right)+6 \ln \left(\ln \left(x \right)-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{4}\right)^{3}+\pi  \mathrm{csgn}\left(i x^{3}\right)^{3}-\pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}-8 i \ln \left(2\right)\right)}{8}\right)$&$336$\\ \hline \end{longtable}"," ",0,"(-2*x+exp((x^2-3)/x))*ln(-4*ln(2)+4*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^3)*(-csgn(I*x^3)+csgn(I*x^2))*(-csgn(I*x^3)+csgn(I*x))-1/2*I*Pi*csgn(I*x^4)*(-csgn(I*x^4)+csgn(I*x^3))*(-csgn(I*x^4)+csgn(I*x)))+6*ln(ln(x)-1/8*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)-Pi*csgn(I*x)*csgn(I*x^4)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2+Pi*csgn(I*x^4)^3+Pi*csgn(I*x^3)^3-Pi*csgn(I*x^3)*csgn(I*x^4)^2-8*I*ln(2)))","C"
6172,1,75,23,0.437000," ","int((((4-2*x)*ln(x)-4*x+12)*ln(1/4*x^2*ln(x)^2+x^2*ln(x)+x^2)+(2*x^2-11*x+16)*ln(x)+4*x^2-26*x+48)/(x*ln(x)+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\ln \left(\frac{x^{2} \ln \left(x \right)^{2}}{4}+x^{2} \ln \left(x \right)+x^{2}\right)^{2}+8 \ln \left(\frac{x^{2} \ln \left(x \right)^{2}}{4}+x^{2} \ln \left(x \right)+x^{2}\right)-7 x -2 \ln \left(\frac{x^{2} \ln \left(x \right)^{2}}{4}+x^{2} \ln \left(x \right)+x^{2}\right) x$&$75$\\ risch&$-7 x +16 \ln \left(x \right)+4 \ln \left(x \right)^{2}+x^{2}-8 \ln \left(2\right) \ln \left(x \right)-4 x \ln \left(x \right)+4 x \ln \left(2\right)+i x \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  x \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)^{2}\right)^{3}+i \pi  x \mathrm{csgn}\left(i x^{2} \left(\ln \left(x \right)+2\right)^{2}\right)^{3}-2 i \pi  \ln \left(\ln \left(x \right)+2\right) \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \ln \left(\ln \left(x \right)+2\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)^{2}\right)^{3}-2 i \pi  \ln \left(\ln \left(x \right)+2\right) \mathrm{csgn}\left(i x^{2} \left(\ln \left(x \right)+2\right)^{2}\right)^{3}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)^{2}\right)^{3}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2} \left(\ln \left(x \right)+2\right)^{2}\right)^{3}+16 \ln \left(\ln \left(x \right)+2\right)-2 i \pi  \ln \left(\ln \left(x \right)+2\right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(\ln \left(x \right)+2\right)^{2}\right)+i \pi  x \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(\ln \left(x \right)+2\right)^{2}\right)-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(\ln \left(x \right)+2\right)^{2}\right)+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \left(\ln \left(x \right)+2\right)^{2}\right)^{2}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)^{2}\right)+4 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)^{2}\right)^{2}+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(\ln \left(x \right)+2\right)^{2}\right)^{2}-i \pi  x \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \left(\ln \left(x \right)+2\right)^{2}\right)^{2}-2 i \pi  \ln \left(\ln \left(x \right)+2\right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+i \pi  x \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)^{2}\right)-2 i \pi  x \,\mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)^{2}\right)^{2}-i \pi  x \,\mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(\ln \left(x \right)+2\right)^{2}\right)^{2}+4 \ln \left(\ln \left(x \right)+2\right)^{2}+\left(-4 x +8 \ln \left(x \right)\right) \ln \left(\ln \left(x \right)+2\right)-8 \ln \left(2\right) \ln \left(\ln \left(x \right)+2\right)+4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \pi  \ln \left(\ln \left(x \right)+2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+2 i \pi  \ln \left(\ln \left(x \right)+2\right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \left(\ln \left(x \right)+2\right)^{2}\right)^{2}-2 i \pi  \ln \left(\ln \left(x \right)+2\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)^{2}\right)+4 i \pi  \ln \left(\ln \left(x \right)+2\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)^{2}\right)^{2}+2 i \pi  \ln \left(\ln \left(x \right)+2\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(\ln \left(x \right)+2\right)^{2}\right)^{2}-2 i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i x \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)$&$816$\\ \hline \end{longtable}"," ",0,"x^2+ln(1/4*x^2*ln(x)^2+x^2*ln(x)+x^2)^2+8*ln(1/4*x^2*ln(x)^2+x^2*ln(x)+x^2)-7*x-2*ln(1/4*x^2*ln(x)^2+x^2*ln(x)+x^2)*x","B"
6173,1,25,19,0.069000," ","int(1/4*(512*x^3*exp(2*x)^2+(32*x^2-16*x)*exp(2*x)-1)*exp(1/16*(256*x^2*exp(2*x)^2+32*x*exp(2*x)+1)/x^2)^2/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{256 x^{2} {\mathrm e}^{4 x}+32 x \,{\mathrm e}^{2 x}+1}{8 x^{2}}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(1/8*(256*x^2*exp(4*x)+32*x*exp(2*x)+1)/x^2)","A"
6174,1,65,32,0.078000," ","int(((-144*exp(x)^2*x^4+(-288*x^5-480*x^2)*exp(x)-144*x^6-480*x^3-400)*ln(x)^2+((3*x^4+18*x^3+12*x^2)*exp(x)+9*x^4+24*x^3-20)*ln(x)+(3*x^3+12*x^2)*exp(x)+3*x^4+12*x^3+5*x+20)/(((36*x^6-288*x^5+576*x^4)*exp(x)^2+(72*x^7-576*x^6+1152*x^5+120*x^4-960*x^3+1920*x^2)*exp(x)+36*x^8-288*x^7+576*x^6+120*x^5-960*x^4+1920*x^3+100*x^2-800*x+1600)*ln(x)^2+((12*x^4-48*x^3)*exp(x)+12*x^5-48*x^4+20*x^2-80*x)*ln(x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{x -4}-\frac{\left(4+x \right) x}{2 \left(x -4\right) \left(6 x^{3} {\mathrm e}^{x} \ln \left(x \right)+6 x^{4} \ln \left(x \right)-24 x^{2} {\mathrm e}^{x} \ln \left(x \right)-24 x^{3} \ln \left(x \right)+10 x \ln \left(x \right)-40 \ln \left(x \right)+x \right)}$&$65$\\ \hline \end{longtable}"," ",0,"4/(x-4)-1/2*(4+x)*x/(x-4)/(6*x^3*exp(x)*ln(x)+6*x^4*ln(x)-24*x^2*exp(x)*ln(x)-24*x^3*ln(x)+10*x*ln(x)-40*ln(x)+x)","A"
6175,1,21,19,0.389000," ","int(((-3*x+12)*ln(-5*x+20)-9*x^3+42*x^2-27*x)/(x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$3 x^{2}-3 x^{3}-3 \ln \left(-5 x +20\right) x$&$21$\\ risch&$3 x^{2}-3 x^{3}-3 \ln \left(-5 x +20\right) x$&$21$\\ derivativedivides&$\frac{3 \left(-5 x +20\right)^{3}}{125}+\frac{3 \left(-5 x +20\right) \ln \left(-5 x +20\right)}{5}-120 x +480-\frac{33 \left(-5 x +20\right)^{2}}{25}-12 \ln \left(-5 x +20\right)$&$45$\\ default&$\frac{3 \left(-5 x +20\right)^{3}}{125}+\frac{3 \left(-5 x +20\right) \ln \left(-5 x +20\right)}{5}-120 x +480-\frac{33 \left(-5 x +20\right)^{2}}{25}-12 \ln \left(-5 x +20\right)$&$45$\\ \hline \end{longtable}"," ",0,"3*x^2-3*x^3-3*ln(-5*x+20)*x","A"
6176,1,36,31,0.057000," ","int(((48*ln(x)*ln(ln(x))^2-96*ln(ln(x))+(-48*x^2+144)*ln(x)+96*x)*exp((3*ln(ln(x))^2-6*x*ln(ln(x))+3*x^2-x+9)/x)^2+8*x^2*ln(x))/(x^2*ln(x)*exp((3*ln(ln(x))^2-6*x*ln(ln(x))+3*x^2-x+9)/x)^6-3*x^3*ln(x)*exp((3*ln(ln(x))^2-6*x*ln(ln(x))+3*x^2-x+9)/x)^4+3*x^4*ln(x)*exp((3*ln(ln(x))^2-6*x*ln(ln(x))+3*x^2-x+9)/x)^2-x^5*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{\left(-\frac{{\mathrm e}^{\frac{6 \ln \left(\ln \left(x \right)\right)^{2}+6 x^{2}-2 x +18}{x}}}{\ln \left(x \right)^{12}}+x \right)^{2}}$&$36$\\ \hline \end{longtable}"," ",0,"4/(-1/ln(x)^12*exp(2*(3*ln(ln(x))^2+3*x^2-x+9)/x)+x)^2","A"
6177,1,15,16,0.348000," ","int((8*x-8)/(2*x^2-x)/ln(1/3*(-100*x+50)/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-4 \ln \left(\ln \left(\frac{-100 x +50}{3 x^{2}}\right)\right)$&$15$\\ risch&$-4 \ln \left(\ln \left(\frac{-100 x +50}{3 x^{2}}\right)\right)$&$15$\\ \hline \end{longtable}"," ",0,"-4*ln(ln(1/3*(-100*x+50)/x^2))","A"
6178,1,29,29,0.112000," ","int((((-x^5-4*x^4-4*x^3)*exp(2)-2*x^6-33*x^5-108*x^4-100*x^3)*exp(x)-6*x^2-30*x-24)/(x^5+4*x^4+4*x^3)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{2} x -x^{2}-25 x +\frac{6 \,{\mathrm e}^{-x}}{x^{2} \left(2+x \right)}$&$29$\\ norman&$\frac{\left(6+\left(-27-{\mathrm e}^{2}\right) x^{4} {\mathrm e}^{x}+\left(100+4 \,{\mathrm e}^{2}\right) x^{2} {\mathrm e}^{x}-x^{5} {\mathrm e}^{x}\right) {\mathrm e}^{-x}}{x^{2} \left(2+x \right)}$&$47$\\ default&$-x^{2}-25 x -\frac{3 \,{\mathrm e}^{-x} \left(4 x^{2}+5 x -2\right)}{x^{2} \left(2+x \right)}-{\mathrm e}^{2} x +\frac{15 \,{\mathrm e}^{-x} \left(x +1\right)}{\left(2+x \right) x}-\frac{3 \,{\mathrm e}^{-x}}{2+x}$&$67$\\ \hline \end{longtable}"," ",0,"-exp(2)*x-x^2-25*x+6/x^2/(2+x)*exp(-x)","A"
6179,1,78,24,0.527000," ","int(((2*exp(20)+5+2*x)*exp(x^2)^3+((-6*exp(4)+26*x)*exp(20)+(-6*x-15)*exp(4)+26*x^2+55*x-10)*exp(x^2)^2+((6*exp(4)^2-32*x*exp(4)+26*x^2+10)*exp(20)+(6*x+15)*exp(4)^2+(-32*x^2-70*x+20)*exp(4)+26*x^3+55*x^2-110*x+20)*exp(x^2)+(-2*exp(4)^3+6*x*exp(4)^2+(-6*x^2-10)*exp(4)+2*x^3+10*x)*exp(20)+(-2*x-5)*exp(4)^3+(6*x^2+15*x-10)*exp(4)^2+(-6*x^3-15*x^2+10*x-20)*exp(4)+2*x^4+5*x^3+20*x-50)/(exp(x^2)^3+(-3*exp(4)+3*x)*exp(x^2)^2+(3*exp(4)^2-6*x*exp(4)+3*x^2)*exp(x^2)-exp(4)^3+3*x*exp(4)^2-3*x^2*exp(4)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \,{\mathrm e}^{20}+x^{2}+5 x +\frac{10 \,{\mathrm e}^{24}-10 x \,{\mathrm e}^{20}-10 \,{\mathrm e}^{x^{2}+20}+10 x \,{\mathrm e}^{4}-10 x^{2}-10 \,{\mathrm e}^{x^{2}} x +20 \,{\mathrm e}^{4}-20 x -20 \,{\mathrm e}^{x^{2}}+25}{\left({\mathrm e}^{4}-{\mathrm e}^{x^{2}}-x \right)^{2}}$&$78$\\ norman&$\frac{x^{4}+x^{2} {\mathrm e}^{2 x^{2}}+\left(5-2 \,{\mathrm e}^{4}+2 \,{\mathrm e}^{20}\right) x^{3}+\left(-{\mathrm e}^{8}+4 \,{\mathrm e}^{20} {\mathrm e}^{4}+10 \,{\mathrm e}^{4}+10\right) {\mathrm e}^{2 x^{2}}+\left(2 \,{\mathrm e}^{12}-6 \,{\mathrm e}^{20} {\mathrm e}^{8}-15 \,{\mathrm e}^{8}-10 \,{\mathrm e}^{4}-10 \,{\mathrm e}^{20}-20\right) x +\left(2 \,{\mathrm e}^{12}-8 \,{\mathrm e}^{20} {\mathrm e}^{8}-20 \,{\mathrm e}^{8}-20 \,{\mathrm e}^{4}-10 \,{\mathrm e}^{20}-20\right) {\mathrm e}^{x^{2}}+\left(2 \,{\mathrm e}^{20}+5\right) x \,{\mathrm e}^{2 x^{2}}+\left(-2 \,{\mathrm e}^{4}+10+4 \,{\mathrm e}^{20}\right) x^{2} {\mathrm e}^{x^{2}}+\left(-2 \,{\mathrm e}^{8}+4 \,{\mathrm e}^{20} {\mathrm e}^{4}+10 \,{\mathrm e}^{4}+10\right) x \,{\mathrm e}^{x^{2}}+2 x^{3} {\mathrm e}^{x^{2}}+25-{\mathrm e}^{16}+4 \,{\mathrm e}^{12} {\mathrm e}^{20}+10 \,{\mathrm e}^{12}+10 \,{\mathrm e}^{8}+10 \,{\mathrm e}^{20} {\mathrm e}^{4}+20 \,{\mathrm e}^{4}}{\left({\mathrm e}^{4}-{\mathrm e}^{x^{2}}-x \right)^{2}}$&$238$\\ \hline \end{longtable}"," ",0,"2*x*exp(20)+x^2+5*x+5*(2*exp(24)-2*x*exp(20)-2*exp(x^2+20)+2*x*exp(4)-2*x^2-2*exp(x^2)*x+4*exp(4)-4*x-4*exp(x^2)+5)/(exp(4)-exp(x^2)-x)^2","B"
6180,1,9,10,0.017000," ","int(-31/16*x+1/16,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(31 x -2\right)}{32}$&$9$\\ default&$-\frac{31}{32} x^{2}+\frac{1}{16} x$&$10$\\ norman&$-\frac{31}{32} x^{2}+\frac{1}{16} x$&$10$\\ risch&$-\frac{31}{32} x^{2}+\frac{1}{16} x$&$10$\\ \hline \end{longtable}"," ",0,"-1/32*x*(31*x-2)","A"
6181,1,13,12,0.364000," ","int(51*exp(4)/((51*x+800)*exp(4)+400),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(51 x \,{\mathrm e}^{4}+800 \,{\mathrm e}^{4}+400\right)$&$13$\\ norman&$\ln \left(51 x \,{\mathrm e}^{4}+800 \,{\mathrm e}^{4}+400\right)$&$13$\\ risch&$\ln \left(51 x \,{\mathrm e}^{4}+800 \,{\mathrm e}^{4}+400\right)$&$13$\\ meijerg&$\frac{400 \left(2 \,{\mathrm e}^{4}+1\right) \ln \left(1+\frac{51 x \,{\mathrm e}^{4}}{400 \left(2 \,{\mathrm e}^{4}+1\right)}\right)}{800 \,{\mathrm e}^{4}+400}$&$33$\\ \hline \end{longtable}"," ",0,"ln(51*x*exp(4)+800*exp(4)+400)","A"
6182,1,91,29,0.150000," ","int(1/16*(40*x^2*ln(x)+40*x^2+40*x)*exp(x*ln(x))^2+1/16*(-20*x^2*ln(x)^2+(40*x^4-40*x^3-20*x^2-40*x)*ln(x)+40*x^4+120*x^3-120*x^2-20*x)*exp(x*ln(x))+5/8*x*ln(x)^2+1/16*(-80*x^3+60*x^2+10*x)*ln(x)+15/2*x^5-25/2*x^4+15/4*x^3+23/16*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x^{2 x} x^{2}}{4}+\frac{\left(40 x^{4}-40 x^{3}-20 x^{2} \ln \left(x \right)\right) x^{x}}{16}+\frac{5 x^{2} \ln \left(x \right)^{2}}{16}-\frac{5 x^{2} \ln \left(x \right)}{16}+\frac{\left(-20 x^{4}+20 x^{3}+5 x^{2}\right) \ln \left(x \right)}{16}+\frac{5 x^{4}}{4}+\frac{x^{3}}{16}+\frac{5 x^{6}}{4}-\frac{5 x^{5}}{2}$&$91$\\ \hline \end{longtable}"," ",0,"5/4*(x^x)^2*x^2+1/16*(40*x^4-40*x^3-20*x^2*ln(x))*x^x+5/16*x^2*ln(x)^2-5/16*x^2*ln(x)+1/16*(-20*x^4+20*x^3+5*x^2)*ln(x)+5/4*x^4+1/16*x^3+5/4*x^6-5/2*x^5","B"
6183,1,27,20,0.039000," ","int((exp(x)+5*x^4-16*x^3+18*x^2-8*x+2)/(exp(x)+x^5-4*x^4+6*x^3-4*x^2+2*x-9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left({\mathrm e}^{x}+x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+2 x -9\right)$&$27$\\ default&$\ln \left({\mathrm e}^{x}+x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+2 x -9\right)$&$27$\\ norman&$\ln \left({\mathrm e}^{x}+x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+2 x -9\right)$&$27$\\ risch&$\ln \left({\mathrm e}^{x}+x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+2 x -9\right)$&$27$\\ \hline \end{longtable}"," ",0,"ln(exp(x)+x^5-4*x^4+6*x^3-4*x^2+2*x-9)","A"
6184,1,30,19,0.435000," ","int((((-3*x^3-3*x^2+6*x)*exp(x)-22*x^2+22*x)*ln((x-1)/x)-3*exp(x)*x-11*x)/(x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-11 \ln \left(\frac{x -1}{x}\right) x^{2}-3 \ln \left(\frac{x -1}{x}\right) {\mathrm e}^{x} x^{2}$&$30$\\ default&$-3 \ln \left(\frac{x -1}{x}\right) {\mathrm e}^{x} x^{2}-11 \ln \left(x -1\right)-11 \ln \left(-\frac{1}{x}\right)+11 \ln \left(1-\frac{1}{x}\right) \left(1-\frac{1}{x}\right) \left(-1-\frac{1}{x}\right) x^{2}$&$58$\\ risch&$\left(-3 \,{\mathrm e}^{x} x^{2}-11 x^{2}\right) \ln \left(x -1\right)+3 x^{2} {\mathrm e}^{x} \ln \left(x \right)+11 x^{2} \ln \left(x \right)+\frac{11 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{3}}{2}-\frac{11 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)}{2}-\frac{11 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)}{2}+\frac{11 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -1\right)\right)}{2}+\frac{3 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{3} {\mathrm e}^{x}}{2}-\frac{3 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right) {\mathrm e}^{x}}{2}-\frac{3 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right) {\mathrm e}^{x}}{2}+\frac{3 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -1\right)\right) {\mathrm e}^{x}}{2}$&$248$\\ \hline \end{longtable}"," ",0,"-11*ln((x-1)/x)*x^2-3*ln((x-1)/x)*exp(x)*x^2","A"
6185,1,15,17,0.378000," ","int(((-2*x-7)*exp(8/3)-2*x^2-7*x+1)/(exp(8/3)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}-7 x +\ln \left({\mathrm e}^{\frac{8}{3}}+x \right)$&$15$\\ norman&$-x^{2}-7 x +\ln \left({\mathrm e}^{\frac{8}{3}}+x \right)$&$15$\\ risch&$-x^{2}-7 x +\ln \left({\mathrm e}^{\frac{8}{3}}+x \right)$&$15$\\ meijerg&$-7 \,{\mathrm e}^{\frac{8}{3}} \ln \left(1+x \,{\mathrm e}^{-\frac{8}{3}}\right)-2 \,{\mathrm e}^{\frac{16}{3}} \left(-\frac{x \,{\mathrm e}^{-\frac{8}{3}} \left(-3 x \,{\mathrm e}^{-\frac{8}{3}}+6\right)}{6}+\ln \left(1+x \,{\mathrm e}^{-\frac{8}{3}}\right)\right)+{\mathrm e}^{\frac{8}{3}} \left(-2 \,{\mathrm e}^{\frac{8}{3}}-7\right) \left(x \,{\mathrm e}^{-\frac{8}{3}}-\ln \left(1+x \,{\mathrm e}^{-\frac{8}{3}}\right)\right)+\ln \left(1+x \,{\mathrm e}^{-\frac{8}{3}}\right)$&$67$\\ \hline \end{longtable}"," ",0,"-x^2-7*x+ln(exp(8/3)+x)","A"
6186,1,33,27,0.042000," ","int((-1440*x^4-6400*x^3-9360*x^2-2520*x+3970)/(72*x^5+316*x^4+298*x^3-315*x^2-463*x-33),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-10 \ln \left(36 x^{4}+104 x^{3}-7 x^{2}-147 x -11\right)+20 \ln \left(2 x +3\right)$&$33$\\ norman&$-10 \ln \left(36 x^{4}+104 x^{3}-7 x^{2}-147 x -11\right)+20 \ln \left(2 x +3\right)$&$33$\\ risch&$-10 \ln \left(36 x^{4}+104 x^{3}-7 x^{2}-147 x -11\right)+20 \ln \left(2 x +3\right)$&$33$\\ \hline \end{longtable}"," ",0,"-10*ln(36*x^4+104*x^3-7*x^2-147*x-11)+20*ln(2*x+3)","A"
6187,1,52,27,0.080000," ","int((-5*x*exp(x^2+5*x-2)*ln(x)+(x^3-6*x^2+14*x-15)*exp(x^2+5*x-2)+10*x^3-5*x^2-70*x)/((5*x^2-15*x)*exp(x^2+5*x-2)*ln(x)+(x^4-6*x^3+9*x^2)*exp(x^2+5*x-2)-5*x^2+15*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x -3\right)+\ln \left(\ln \left(x \right)+\frac{\left(x^{2} {\mathrm e}^{x^{2}+5 x -2}-3 \,{\mathrm e}^{x^{2}+5 x -2} x -5\right) {\mathrm e}^{-x^{2}-5 x +2}}{5}\right)$&$52$\\ norman&$-x^{2}-5 x -\ln \left(x -3\right)+\ln \left(x^{2} {\mathrm e}^{x^{2}+5 x -2}-3 \,{\mathrm e}^{x^{2}+5 x -2} x +5 \,{\mathrm e}^{x^{2}+5 x -2} \ln \left(x \right)-5\right)$&$57$\\ \hline \end{longtable}"," ",0,"-ln(x-3)+ln(ln(x)+1/5*(x^2*exp(x^2+5*x-2)-3*exp(x^2+5*x-2)*x-5)*exp(-x^2-5*x+2))","A"
6188,1,29,27,0.052000," ","int((-2*x*ln(x)-3*x^4+x^3+x)/((x^4+2*x^2+1)*ln(x)^2+(-6*x^5+4*x^4-6*x^3+4*x^2)*ln(x)+9*x^6-12*x^5+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}}{3 x^{3}-x^{2} \ln \left(x \right)-2 x^{2}-\ln \left(x \right)}$&$29$\\ risch&$\frac{x^{2}}{3 x^{3}-x^{2} \ln \left(x \right)-2 x^{2}-\ln \left(x \right)}$&$29$\\ \hline \end{longtable}"," ",0,"x^2/(3*x^3-x^2*ln(x)-2*x^2-ln(x))","A"
6189,1,21,21,0.072000," ","int((((x+1)*exp(x)^2+(x^2+6*x+6)*exp(x)+1)*exp(ln(exp(x)+5+x)+exp(x)*x)+2*x*ln(7)^2*exp(x)+(2*x^2+10*x)*ln(7)^2)/(exp(x)+5+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{x}+5+x \right) {\mathrm e}^{{\mathrm e}^{x} x}+x^{2} \ln \left(7\right)^{2}$&$21$\\ \hline \end{longtable}"," ",0,"(exp(x)+5+x)*exp(exp(x)*x)+x^2*ln(7)^2","A"
6190,1,30,27,0.034000," ","int(1/3*(3*ln(x)^3+((-6*x^2-3)*exp(x^2)+(-3*x-3)*exp(x)+9)*ln(x)^2-2*x*ln(x)+x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -\frac{x^{2}}{3 \ln \left(x \right)}-{\mathrm e}^{x} x -{\mathrm e}^{x^{2}} x +x \ln \left(x \right)$&$30$\\ risch&$2 x -\frac{x^{2}}{3 \ln \left(x \right)}-{\mathrm e}^{x} x -{\mathrm e}^{x^{2}} x +x \ln \left(x \right)$&$30$\\ \hline \end{longtable}"," ",0,"2*x-1/3*x^2/ln(x)-exp(x)*x-exp(x^2)*x+x*ln(x)","A"
6191,1,25,21,0.091000," ","int(((-x^2-3*x+5)*exp(2+x)+(x^3+9*x^2+15*x-25)*exp(x)-10*x-25)/(x^4+10*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5+\left(5-{\mathrm e}^{2}\right) {\mathrm e}^{x}+{\mathrm e}^{x} x}{\left(5+x \right) x}$&$25$\\ risch&$\frac{5}{\left(5+x \right) x}-\frac{\left({\mathrm e}^{2}-x -5\right) {\mathrm e}^{x}}{\left(5+x \right) x}$&$31$\\ default&$-\frac{1}{5+x}+\frac{1}{x}+\frac{{\mathrm e}^{x}}{x}+5 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{x}}{25 \left(5+x \right)}-\frac{7 \,{\mathrm e}^{-5} \expIntegralEi \left(1, -x -5\right)}{125}-\frac{{\mathrm e}^{x}}{25 x}-\frac{3 \expIntegralEi \left(1, -x \right)}{125}\right)-3 \,{\mathrm e}^{2} \left(\frac{{\mathrm e}^{x}}{25+5 x}+\frac{6 \,{\mathrm e}^{-5} \expIntegralEi \left(1, -x -5\right)}{25}-\frac{\expIntegralEi \left(1, -x \right)}{25}\right)-{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{x}}{5+x}-{\mathrm e}^{-5} \expIntegralEi \left(1, -x -5\right)\right)$&$114$\\ \hline \end{longtable}"," ",0,"(5+(5-exp(2))*exp(x)+exp(x)*x)/(5+x)/x","A"
6192,1,27,23,0.140000," ","int((((1-x)*ln(x)+2*x-3)*ln(ln(3))^2+(2*x-1)*exp(x)*ln(x)+(3-5*x)*exp(x))/(exp(x)*ln(x)^2-4*exp(x)*ln(x)+4*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(\ln \left(\ln \left(3\right)\right)^{2}+{\mathrm e}^{x} x -{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{\ln \left(x \right)-2}$&$27$\\ norman&$\frac{\left({\mathrm e}^{x} x^{2}+\ln \left(\ln \left(3\right)\right)^{2} x -{\mathrm e}^{x} x \right) {\mathrm e}^{-x}}{\ln \left(x \right)-2}$&$31$\\ default&$\frac{x^{2}-x}{\ln \left(x \right)-2}+\frac{\ln \left(\ln \left(3\right)\right)^{2} x \,{\mathrm e}^{-x}}{\ln \left(x \right)-2}$&$33$\\ \hline \end{longtable}"," ",0,"x*(ln(ln(3))^2+exp(x)*x-exp(x))*exp(-x)/(ln(x)-2)","A"
6193,1,30,22,0.197000," ","int(((x^2*exp(3/2)+2*x^2)*ln(3)+4*x^2*exp(3/2)^2+(16*x^2+24*x)*exp(3/2)+16*x^2+48*x+36)/(x^4*exp(3/2)^2+(4*x^4+6*x^3)*exp(3/2)+4*x^4+12*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-4 \,{\mathrm e}^{\frac{3}{2}}-\ln \left(3\right)-8\right) x -12}{x \left(3+x \,{\mathrm e}^{\frac{3}{2}}+2 x \right)}$&$30$\\ gosper&$-\frac{x \ln \left(3\right)+4 x \,{\mathrm e}^{\frac{3}{2}}+8 x +12}{x \left(3+x \,{\mathrm e}^{\frac{3}{2}}+2 x \right)}$&$31$\\ norman&$\frac{-12+\left(\frac{\ln \left(3\right) {\mathrm e}^{\frac{3}{2}}}{3}+\frac{4 \,{\mathrm e}^{3}}{3}+\frac{2 \ln \left(3\right)}{3}+\frac{16 \,{\mathrm e}^{\frac{3}{2}}}{3}+\frac{16}{3}\right) x^{2}}{x \left(3+x \,{\mathrm e}^{\frac{3}{2}}+2 x \right)}$&$44$\\ \hline \end{longtable}"," ",0,"((-4*exp(3/2)-ln(3)-8)*x-12)/x/(3+x*exp(3/2)+2*x)","A"
6194,1,28,26,0.129000," ","int(((20*x^2+40*x+10)*exp(-x^2-4*x+2)*exp((-exp(-x^2-4*x+2)-4*x)/x)-10*x)*exp(exp((-exp(-x^2-4*x+2)-4*x)/x)-ln(x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10 \,{\mathrm e}^{{\mathrm e}^{-\frac{{\mathrm e}^{-x^{2}-4 x +2}+4 x}{x}}}}{x}$&$28$\\ \hline \end{longtable}"," ",0,"10/x*exp(exp(-(exp(-x^2-4*x+2)+4*x)/x))","A"
6195,1,29,25,0.077000," ","int(1/2*((-2*x^2*exp(2)+6*x^2)*ln(x)+(-8*x^4-x^2+2)*exp(2)+24*x^4+3*x^2)/exp(2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left({\mathrm e}^{2}-3\right) {\mathrm e}^{-2} x^{2} \ln \left(x \right)}{2}-x^{4}+3 \,{\mathrm e}^{-2} x^{4}+\ln \left(x \right)$&$29$\\ norman&$\ln \left(x \right)-\left({\mathrm e}^{2}-3\right) {\mathrm e}^{-2} x^{4}-\frac{\left({\mathrm e}^{2}-3\right) {\mathrm e}^{-2} x^{2} \ln \left(x \right)}{2}$&$32$\\ default&$\frac{{\mathrm e}^{-2} \left(-2 x^{4} {\mathrm e}^{2}-2 \,{\mathrm e}^{2} \left(\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}\right)+6 x^{4}-\frac{x^{2} {\mathrm e}^{2}}{2}+3 x^{2} \ln \left(x \right)+2 \,{\mathrm e}^{2} \ln \left(x \right)\right)}{2}$&$57$\\ \hline \end{longtable}"," ",0,"-1/2*(exp(2)-3)*exp(-2)*x^2*ln(x)-x^4+3*exp(-2)*x^4+ln(x)","A"
6196,1,138,25,0.129000," ","int(((8*x^8+112*x^7+544*x^6+1112*x^5+928*x^4+256*x^3)*exp(x)^2+(-40*x^6-600*x^5-2760*x^4-4480*x^3-1920*x^2)*exp(x)+400*x^3+2400*x^2+3200*x)*ln(x)^2+((8*x^7+80*x^6+264*x^5+320*x^4+128*x^3)*exp(x)^2+(-80*x^5-720*x^4-1920*x^3-1280*x^2)*exp(x)+200*x^3+1600*x^2+3200*x)*ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(x \right)^{2} {\mathrm e}^{2 x} x^{8}+40 \ln \left(x \right)^{2} {\mathrm e}^{2 x} x^{7}+132 \ln \left(x \right)^{2} {\mathrm e}^{2 x} x^{6}+160 \ln \left(x \right)^{2} {\mathrm e}^{2 x} x^{5}-40 \ln \left(x \right)^{2} {\mathrm e}^{x} x^{6}+64 \ln \left(x \right)^{2} {\mathrm e}^{2 x} x^{4}-360 \ln \left(x \right)^{2} {\mathrm e}^{x} x^{5}-960 x^{4} {\mathrm e}^{x} \ln \left(x \right)^{2}-640 \ln \left(x \right)^{2} {\mathrm e}^{x} x^{3}+100 x^{4} \ln \left(x \right)^{2}+800 x^{3} \ln \left(x \right)^{2}+1600 x^{2} \ln \left(x \right)^{2}$&$138$\\ \hline \end{longtable}"," ",0,"4*ln(x)^2*exp(2*x)*x^8+40*ln(x)^2*exp(2*x)*x^7+132*ln(x)^2*exp(2*x)*x^6+160*ln(x)^2*exp(2*x)*x^5-40*ln(x)^2*exp(x)*x^6+64*ln(x)^2*exp(2*x)*x^4-360*ln(x)^2*exp(x)*x^5-960*x^4*exp(x)*ln(x)^2-640*ln(x)^2*exp(x)*x^3+100*x^4*ln(x)^2+800*x^3*ln(x)^2+1600*x^2*ln(x)^2","B"
6197,1,35,18,0.115000," ","int(1/81*(162*exp(x-1)*exp(x)+(390625*x^8+3125000*x^7+11250*x^5+56250*x^4+81*x^2+162*x)*exp(x-1))*exp(exp(x-1)*exp(x)+1/81*(390625*x^8+11250*x^5+81*x^2)*exp(x-1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{2 x -1}+\frac{390625 \,{\mathrm e}^{x -1} x^{8}}{81}+\frac{1250 \,{\mathrm e}^{x -1} x^{5}}{9}+x^{2} {\mathrm e}^{x -1}}$&$35$\\ \hline \end{longtable}"," ",0,"exp(exp(2*x-1)+390625/81*exp(x-1)*x^8+1250/9*exp(x-1)*x^5+x^2*exp(x-1))","A"
6198,1,16,19,0.131000," ","int(1/9*(-4*x^3+12*x^2-8*x)*exp(1/9*(x^4-4*x^3+4*x^2)/exp(3)^2)/exp(3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{x^{2} \left(x -2\right)^{2} {\mathrm e}^{-6}}{9}}$&$16$\\ gosper&$-{\mathrm e}^{\frac{x^{2} \left(x^{2}-4 x +4\right) {\mathrm e}^{-6}}{9}}$&$21$\\ norman&$-{\mathrm e}^{\frac{\left(x^{4}-4 x^{3}+4 x^{2}\right) {\mathrm e}^{-6}}{9}}$&$24$\\ \hline \end{longtable}"," ",0,"-exp(1/9*x^2*(x-2)^2*exp(-6))","A"
6199,1,26,15,0.220000," ","int(((exp(x)*x^2+x^2-2)*exp(1/3*(3*exp(x)*x+3*x^2+11*x+6)/x)+2*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +{\mathrm e}^{\frac{3 \,{\mathrm e}^{x} x +3 x^{2}+11 x +6}{3 x}}$&$26$\\ norman&$\frac{x \,{\mathrm e}^{\frac{3 \,{\mathrm e}^{x} x +3 x^{2}+11 x +6}{3 x}}+2 x^{2}}{x}$&$34$\\ \hline \end{longtable}"," ",0,"2*x+exp(1/3*(3*exp(x)*x+3*x^2+11*x+6)/x)","A"
6200,1,31,26,0.100000," ","int((((4*x-1)*exp(4)+4*x^3-x^2)*ln(4*x^2-x)^2+((72*x-18)*exp(4)+72*x^3-18*x^2)*ln(4*x^2-x)+(324*x-81)*exp(4)+324*x^3-121*x^2+5*x)/((4*x^3-x^2)*ln(4*x^2-x)^2+(72*x^3-18*x^2)*ln(4*x^2-x)+324*x^3-81*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{4}-x^{2}}{x}+\frac{5}{\ln \left(4 x^{2}-x \right)+9}$&$31$\\ norman&$\frac{5 x +\ln \left(4 x^{2}-x \right) x^{2}+9 x^{2}-{\mathrm e}^{4} \ln \left(4 x^{2}-x \right)-9 \,{\mathrm e}^{4}}{x \left(\ln \left(4 x^{2}-x \right)+9\right)}$&$60$\\ \hline \end{longtable}"," ",0,"-(exp(4)-x^2)/x+5/(ln(4*x^2-x)+9)","A"
6201,1,19,20,0.056000," ","int((-4*x*exp(-ln(12)+2*x-5)*ln(x)-2)*exp(exp(-ln(12)+2*x-5))/(x*ln(x)^2*exp(exp(-ln(12)+2*x-5))^2-10*x*ln(x)*exp(exp(-ln(12)+2*x-5))+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{\ln \left(x \right) {\mathrm e}^{\frac{{\mathrm e}^{2 x -5}}{12}}-5}$&$19$\\ \hline \end{longtable}"," ",0,"2/(ln(x)*exp(1/12*exp(2*x-5))-5)","A"
6202,1,31,28,0.294000," ","int(((50*x^7+170*x^6-390*x^5-1330*x^4+4540*x^3+5360*x^2-1920*x-1280)*exp(16/(x^4+2*x^3-7*x^2-8*x+16))+20*x^9+60*x^8-190*x^7-490*x^6+810*x^5+1190*x^4-1640*x^3-480*x^2+640*x)/(x^9+3*x^8-9*x^7-23*x^6+36*x^5+48*x^4-64*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$20 x +\frac{10}{x}-\frac{10 \left(1+5 x \right) {\mathrm e}^{\frac{16}{\left(x^{2}+x -4\right)^{2}}}}{x^{2}}$&$31$\\ norman&$\frac{-595 x^{4}-270 x^{3}+105 x^{6}+960 x^{2}+160 x +20 x^{7}-720 \,{\mathrm e}^{\frac{16}{x^{4}+2 x^{3}-7 x^{2}-8 x +16}} x +470 \,{\mathrm e}^{\frac{16}{x^{4}+2 x^{3}-7 x^{2}-8 x +16}} x^{2}+330 \,{\mathrm e}^{\frac{16}{x^{4}+2 x^{3}-7 x^{2}-8 x +16}} x^{3}-110 \,{\mathrm e}^{\frac{16}{x^{4}+2 x^{3}-7 x^{2}-8 x +16}} x^{4}-50 \,{\mathrm e}^{\frac{16}{x^{4}+2 x^{3}-7 x^{2}-8 x +16}} x^{5}-160 \,{\mathrm e}^{\frac{16}{x^{4}+2 x^{3}-7 x^{2}-8 x +16}}}{x^{2} \left(x^{2}+x -4\right)^{2}}$&$205$\\ \hline \end{longtable}"," ",0,"20*x+10/x-10*(1+5*x)/x^2*exp(16/(x^2+x-4)^2)","A"
6203,1,26,30,0.050000," ","int((((12*x^2-12*x)*ln(1-x)-24*x^2+30*x)*ln((2*x-2)*ln(1-x)-4*x+5)^2+(12*x^2*ln(1-x)-12*x^2)*ln((2*x-2)*ln(1-x)-4*x+5))/((2*x-2)*ln(1-x)-4*x+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x^{2} \ln \left(\left(2 x -2\right) \ln \left(1-x \right)-4 x +5\right)^{2}$&$26$\\ \hline \end{longtable}"," ",0,"3*x^2*ln((2*x-2)*ln(1-x)-4*x+5)^2","A"
6204,1,28,19,0.034000," ","int(((2*x^2-x)*exp(-3*x)*exp(x)+4*x+2)/(2*x*ln(x)-x^2*exp(-3*x)*exp(x)+4*x^2+10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)+\frac{\left(4 x \,{\mathrm e}^{2 x}+10 \,{\mathrm e}^{2 x}-x \right) {\mathrm e}^{-2 x}}{2}\right)$&$28$\\ \hline \end{longtable}"," ",0,"ln(ln(x)+1/2*(4*x*exp(2*x)+10*exp(2*x)-x)*exp(-2*x))","A"
6205,1,14,20,0.414000," ","int((x*ln(5)+x^2-x-6)/(x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +2 \ln \left(x \right)+\ln \left(5\right) \ln \left(x -3\right)$&$14$\\ norman&$x +2 \ln \left(x \right)+\ln \left(5\right) \ln \left(x -3\right)$&$14$\\ risch&$x +\ln \left(5\right) \ln \left(3-x \right)+2 \ln \left(x \right)$&$16$\\ meijerg&$\ln \left(1-\frac{x}{3}\right)+2 \ln \left(x \right)-2 \ln \left(3\right)+2 i \pi -3 \left(-\frac{\ln \left(5\right)}{3}+\frac{1}{3}\right) \ln \left(1-\frac{x}{3}\right)+x$&$35$\\ \hline \end{longtable}"," ",0,"x+2*ln(x)+ln(5)*ln(x-3)","A"
6206,1,32,23,0.166000," ","int(((-x^2-53*x-616)*ln(5)^4+(-8*x^2-212*x+36)*ln(5)^2-16*x^2)/((x^3+47*x^2+475*x-1875)*ln(5)^4+(8*x^3+176*x^2-600*x)*ln(5)^2+16*x^3-48*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x -3\right)+\frac{3 \ln \left(5\right)^{2}}{x \ln \left(5\right)^{2}+25 \ln \left(5\right)^{2}+4 x}$&$32$\\ risch&$-\ln \left(x -3\right)+\frac{3 \ln \left(5\right)^{2}}{x \ln \left(5\right)^{2}+25 \ln \left(5\right)^{2}+4 x}$&$32$\\ norman&$-\frac{\left(3 \ln \left(5\right)^{4}+12 \ln \left(5\right)^{2}\right) x}{25 \ln \left(5\right)^{2} \left(x \ln \left(5\right)^{2}+25 \ln \left(5\right)^{2}+4 x \right)}-\ln \left(x -3\right)$&$46$\\ \hline \end{longtable}"," ",0,"-ln(x-3)+3*ln(5)^2/(x*ln(5)^2+25*ln(5)^2+4*x)","A"
6207,1,271,23,0.636000," ","int(((x-3)*ln(x-3)*ln(4*ln(x-3)/x/exp(exp(x)))+((x^2-3*x)*exp(x)+2*x^2-5*x-3)*ln(x-3)-x)/(2*x^3-6*x^2)/ln(x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}^{{\mathrm e}^{x}}\right)}{2 x}+\frac{i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-{\mathrm e}^{x}} \ln \left(x -3\right)}{x}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i \ln \left(x -3\right) {\mathrm e}^{-{\mathrm e}^{x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-{\mathrm e}^{x}} \ln \left(x -3\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{x}}\right) \mathrm{csgn}\left(i \ln \left(x -3\right)\right) \mathrm{csgn}\left(i \ln \left(x -3\right) {\mathrm e}^{-{\mathrm e}^{x}}\right)-i \pi  \,\mathrm{csgn}\left(i \ln \left(x -3\right)\right) \mathrm{csgn}\left(i \ln \left(x -3\right) {\mathrm e}^{-{\mathrm e}^{x}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \ln \left(x -3\right) {\mathrm e}^{-{\mathrm e}^{x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-{\mathrm e}^{x}} \ln \left(x -3\right)}{x}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-{\mathrm e}^{x}} \ln \left(x -3\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+i \pi  \mathrm{csgn}\left(i \ln \left(x -3\right) {\mathrm e}^{-{\mathrm e}^{x}}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{x}}\right) \mathrm{csgn}\left(i \ln \left(x -3\right) {\mathrm e}^{-{\mathrm e}^{x}}\right)^{2}+4 x \ln \left(x \right)-4 \ln \left(2\right)+2 \ln \left(x \right)-2 \ln \left(\ln \left(x -3\right)\right)}{4 x}$&$271$\\ \hline \end{longtable}"," ",0,"1/2/x*ln(exp(exp(x)))+1/4*(I*Pi*csgn(I/x*exp(-exp(x))*ln(x-3))^3+I*Pi*csgn(I*ln(x-3)*exp(-exp(x)))*csgn(I/x*exp(-exp(x))*ln(x-3))*csgn(I/x)+I*Pi*csgn(I*exp(-exp(x)))*csgn(I*ln(x-3))*csgn(I*ln(x-3)*exp(-exp(x)))-I*Pi*csgn(I*ln(x-3))*csgn(I*ln(x-3)*exp(-exp(x)))^2-I*Pi*csgn(I*ln(x-3)*exp(-exp(x)))*csgn(I/x*exp(-exp(x))*ln(x-3))^2-I*Pi*csgn(I/x*exp(-exp(x))*ln(x-3))^2*csgn(I/x)+I*Pi*csgn(I*ln(x-3)*exp(-exp(x)))^3-I*Pi*csgn(I*exp(-exp(x)))*csgn(I*ln(x-3)*exp(-exp(x)))^2+4*x*ln(x)-4*ln(2)+2*ln(x)-2*ln(ln(x-3)))/x","C"
6208,1,47,50,0.541000," ","int((100*x^2*exp((2*x+8)/x^2)^3+(25*x^2+50*x+400)*exp((2*x+8)/x^2)^2)/((8*x^2*exp(1)^3-96*x^3*exp(1)^2+384*x^4*exp(1)-512*x^5)*exp((2*x+8)/x^2)^3+(-24*x^3*exp(1)^2+192*x^4*exp(1)-384*x^5)*exp((2*x+8)/x^2)^2+(24*x^4*exp(1)-96*x^5)*exp((2*x+8)/x^2)-8*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{25 \,{\mathrm e}^{\frac{4 x +16}{x^{2}}}}{16 \left({\mathrm e} \,{\mathrm e}^{\frac{2 x +8}{x^{2}}}-4 x \,{\mathrm e}^{\frac{2 x +8}{x^{2}}}-x \right)^{2}}$&$47$\\ risch&$\frac{25}{16 \left({\mathrm e}^{2}-8 x \,{\mathrm e}+16 x^{2}\right)}+\frac{25 \left(2 \,{\mathrm e}^{\frac{x^{2}+2 x +8}{x^{2}}}-8 x \,{\mathrm e}^{\frac{2 x +8}{x^{2}}}-x \right) x}{16 \left({\mathrm e}^{2}-8 x \,{\mathrm e}+16 x^{2}\right) \left({\mathrm e}^{\frac{x^{2}+2 x +8}{x^{2}}}-4 x \,{\mathrm e}^{\frac{2 x +8}{x^{2}}}-x \right)^{2}}$&$99$\\ \hline \end{longtable}"," ",0,"25/16*exp((2*x+8)/x^2)^2/(exp(1)*exp((2*x+8)/x^2)-4*x*exp((2*x+8)/x^2)-x)^2","A"
6209,1,90,22,0.295000," ","int(1/8*(5*x^2+5*x)*exp(x)^2*ln(2*x)^2+1/8*((-30*x^2-25*x)*exp(x)^2+(5*x^3+20*x^2+10*x)*exp(x))*ln(2*x)+1/8*(45*x^2+30*x)*exp(x)^2+1/8*(-15*x^3-55*x^2-25*x)*exp(x)+5/4*x^3+15/8*x^2+5/8*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \,{\mathrm e}^{2 x} \ln \left(2 x \right)^{2} x^{2}}{16}-\frac{15 \,{\mathrm e}^{2 x} \ln \left(2 x \right) x^{2}}{8}+\frac{5 \,{\mathrm e}^{x} \ln \left(2 x \right) x^{3}}{8}+\frac{5 \,{\mathrm e}^{x} \ln \left(2 x \right) x^{2}}{8}-\frac{15 \,{\mathrm e}^{x} x^{2}}{8}+\frac{45 \,{\mathrm e}^{2 x} x^{2}}{16}-\frac{15 \,{\mathrm e}^{x} x^{3}}{8}+\frac{5 x^{4}}{16}+\frac{5 x^{3}}{8}+\frac{5 x^{2}}{16}$&$90$\\ default&$\left(\frac{5 \ln \left(2\right)}{8}-\frac{15}{8}\right) x^{2} {\mathrm e}^{x}+\left(\frac{5 \ln \left(2\right)}{8}-\frac{15}{8}\right) x^{3} {\mathrm e}^{x}+\frac{5 x^{2} {\mathrm e}^{x} \ln \left(x \right)}{8}+\frac{5 x^{3} {\mathrm e}^{x} \ln \left(x \right)}{8}+\left(\frac{5 \ln \left(2\right)^{2}}{16}-\frac{15 \ln \left(2\right)}{8}+\frac{45}{16}\right) x^{2} {\mathrm e}^{2 x}+\left(\frac{5 \ln \left(2\right)}{8}-\frac{15}{8}\right) x^{2} {\mathrm e}^{2 x} \ln \left(x \right)+\frac{5 \ln \left(x \right)^{2} {\mathrm e}^{2 x} x^{2}}{16}+\frac{5 x^{2}}{16}+\frac{5 x^{3}}{8}+\frac{5 x^{4}}{16}$&$108$\\ \hline \end{longtable}"," ",0,"5/16*exp(2*x)*ln(2*x)^2*x^2-15/8*exp(2*x)*ln(2*x)*x^2+5/8*exp(x)*ln(2*x)*x^3+5/8*exp(x)*ln(2*x)*x^2-15/8*exp(x)*x^2+45/16*exp(2*x)*x^2-15/8*exp(x)*x^3+5/16*x^4+5/8*x^3+5/16*x^2","B"
6210,1,19,17,0.030000," ","int((25*x^5-25*x^3-8192)/(25*x^6+25*x^4+2048*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(25 x^{5}+25 x^{3}+2048\right)-4 \ln \left(x \right)$&$19$\\ norman&$\ln \left(25 x^{5}+25 x^{3}+2048\right)-4 \ln \left(x \right)$&$19$\\ risch&$\ln \left(25 x^{5}+25 x^{3}+2048\right)-4 \ln \left(x \right)$&$19$\\ \hline \end{longtable}"," ",0,"ln(25*x^5+25*x^3+2048)-4*ln(x)","A"
6211,1,18,21,0.106000," ","int(1/25*(15*x^2+30*x)*exp(-2*ln(5)+4+x)-27/25*x^2*exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{9 x^{3} {\mathrm e}^{2}}{25}+\frac{3 x^{2} {\mathrm e}^{4+x}}{125}$&$18$\\ norman&$-\frac{9 x^{3} {\mathrm e}^{2}}{25}+\frac{3 \,{\mathrm e}^{-2 \ln \left(5\right)+4+x} x^{2}}{5}$&$24$\\ default&$-\frac{9 x^{3} {\mathrm e}^{2}}{25}+\frac{3 \,{\mathrm e}^{-2 \ln \left(5\right)+4+x} \left(-2 \ln \left(5\right)+4+x \right)^{2}}{5}-\frac{24 \,{\mathrm e}^{-2 \ln \left(5\right)+4+x} \left(-2 \ln \left(5\right)+4+x \right)}{5}+\frac{48 \,{\mathrm e}^{-2 \ln \left(5\right)+4+x}}{5}-\frac{48 \,{\mathrm e}^{-2 \ln \left(5\right)+4+x} \ln \left(5\right)}{5}+\frac{12 \,{\mathrm e}^{-2 \ln \left(5\right)+4+x} \ln \left(5\right)^{2}}{5}+\frac{12 \,{\mathrm e}^{-2 \ln \left(5\right)+4+x} \left(-2 \ln \left(5\right)+4+x \right) \ln \left(5\right)}{5}$&$102$\\ derivativedivides&$-\frac{72 \ln \left(5\right)^{3} {\mathrm e}^{2}}{25}-\frac{108 \ln \left(5\right)^{2} {\mathrm e}^{2} \left(-2 \ln \left(5\right)+4+x \right)}{25}-\frac{54 \ln \left(5\right) {\mathrm e}^{2} \left(-2 \ln \left(5\right)+4+x \right)^{2}}{25}-\frac{9 \,{\mathrm e}^{2} \left(-2 \ln \left(5\right)+4+x \right)^{3}}{25}+\frac{432 \ln \left(5\right)^{2} {\mathrm e}^{2}}{25}+\frac{432 \ln \left(5\right) {\mathrm e}^{2} \left(-2 \ln \left(5\right)+4+x \right)}{25}+\frac{108 \,{\mathrm e}^{2} \left(-2 \ln \left(5\right)+4+x \right)^{2}}{25}-\frac{864 \,{\mathrm e}^{2} \ln \left(5\right)}{25}-\frac{432 \,{\mathrm e}^{2} \left(-2 \ln \left(5\right)+4+x \right)}{25}+\frac{576 \,{\mathrm e}^{2}}{25}+\frac{3 \,{\mathrm e}^{-2 \ln \left(5\right)+4+x} \left(-2 \ln \left(5\right)+4+x \right)^{2}}{5}-\frac{24 \,{\mathrm e}^{-2 \ln \left(5\right)+4+x} \left(-2 \ln \left(5\right)+4+x \right)}{5}+\frac{48 \,{\mathrm e}^{-2 \ln \left(5\right)+4+x}}{5}-\frac{48 \,{\mathrm e}^{-2 \ln \left(5\right)+4+x} \ln \left(5\right)}{5}+\frac{12 \,{\mathrm e}^{-2 \ln \left(5\right)+4+x} \ln \left(5\right)^{2}}{5}+\frac{12 \,{\mathrm e}^{-2 \ln \left(5\right)+4+x} \left(-2 \ln \left(5\right)+4+x \right) \ln \left(5\right)}{5}$&$219$\\ \hline \end{longtable}"," ",0,"-9/25*x^3*exp(2)+3/125*x^2*exp(4+x)","A"
6212,1,29,32,0.294000," ","int(((2*x^3*exp(1)-2*x^4-x^2)*exp(x^2)+(x^2+6)*exp((x^2+x-6)/x)+x^2)/((x^2*exp(1)-x^3)*exp(x^2)+x^2*exp((x^2+x-6)/x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left({\mathrm e} \,{\mathrm e}^{x^{2}}-{\mathrm e}^{x^{2}} x +{\mathrm e}^{\frac{x^{2}+x -6}{x}}+x \right)$&$29$\\ risch&$x -\frac{6}{x}-\frac{x^{2}+x -6}{x}+\ln \left({\mathrm e}^{x^{2}+1}-{\mathrm e}^{x^{2}} x +{\mathrm e}^{\frac{\left(3+x \right) \left(x -2\right)}{x}}+x \right)$&$46$\\ \hline \end{longtable}"," ",0,"ln(exp(1)*exp(x^2)-exp(x^2)*x+exp((x^2+x-6)/x)+x)","A"
6213,1,61,28,1.628000," ","int((((1-x)*ln(2/x)*ln(ln(2/x))+((1-x)*ln(5)+x^3-x^2)*ln(2/x))*ln(ln(ln(2/x))+ln(5)-x^2)^2+(x*ln(2/x)*ln(ln(2/x))+(x*ln(5)-x^3)*ln(2/x))*ln(ln(ln(2/x))+ln(5)-x^2)+2*x^3*ln(2/x)+x)/(((x*ln(2/x)*ln(x)+(-x^2+5*x)*ln(2/x))*ln(ln(2/x))+(x*ln(5)-x^3)*ln(2/x)*ln(x)+((-x^2+5*x)*ln(5)+x^4-5*x^3)*ln(2/x))*ln(ln(ln(2/x))+ln(5)-x^2)^2+(x^2*ln(2/x)*ln(ln(2/x))+(x^2*ln(5)-x^4)*ln(2/x))*ln(ln(ln(2/x))+ln(5)-x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)-x +5\right)-\ln \left(\ln \left(\ln \left(\ln \left(2\right)-\ln \left(x \right)\right)+\ln \left(5\right)-x^{2}\right)\right)+\ln \left(-\frac{x}{-\ln \left(x \right)+x -5}+\ln \left(\ln \left(\ln \left(2\right)-\ln \left(x \right)\right)+\ln \left(5\right)-x^{2}\right)\right)$&$61$\\ \hline \end{longtable}"," ",0,"ln(ln(x)-x+5)-ln(ln(ln(ln(2)-ln(x))+ln(5)-x^2))+ln(-x/(-ln(x)+x-5)+ln(ln(ln(2)-ln(x))+ln(5)-x^2))","B"
6214,1,38,29,0.361000," ","int((((-x^5-5*x^3)*exp(x)+2*x^6-4*x^5+10*x^4-32*x^3-18*x^2-60*x-90)*ln(x^2+5)^2+(-4*exp(x)*x^4+4*x^6-16*x^5-44*x^4+48*x^3+36*x^2)*ln(x^2+5))/(x^5+5*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{4}-4 x^{3}-{\mathrm e}^{x} x^{2}-11 x^{2}+12 x +9\right) \ln \left(x^{2}+5\right)^{2}}{x^{2}}$&$38$\\ \hline \end{longtable}"," ",0,"(x^4-4*x^3-exp(x)*x^2-11*x^2+12*x+9)/x^2*ln(x^2+5)^2","A"
6215,1,22,27,0.051000," ","int(((x^2+5*x)*exp(x)*ln(x)+(-3*x*exp(3)+11*x-6)*exp(x))/((7*x^3+84*x^2+252*x)*ln(x)^2+((-42*x^2-252*x)*exp(3)+168*x^2+1008*x)*ln(x)+63*x*exp(3)^2-504*x*exp(3)+1008*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{x}}{7 \left(-x \ln \left(x \right)+3 \,{\mathrm e}^{3}-6 \ln \left(x \right)-12\right)}$&$22$\\ \hline \end{longtable}"," ",0,"-1/7*exp(x)/(-x*ln(x)+3*exp(3)-6*ln(x)-12)","A"
6216,1,50,29,1.036000," ","int((-90*x^2*exp(1)*exp(5)-90*x^3*exp(1)^2+360*x^2*exp(1)+30*x^3+90*x^2+180)/(9*x^2*exp(5)^4+(36*x^3*exp(1)-144*x^2)*exp(5)^3+(54*x^4*exp(1)^2-432*x^3*exp(1)-6*x^4-36*x^3+864*x^2+72*x)*exp(5)^2+(36*x^5*exp(1)^3-432*x^4*exp(1)^2+(-12*x^5-72*x^4+1728*x^3+144*x^2)*exp(1)+48*x^4+288*x^3-2304*x^2-576*x)*exp(5)+9*x^6*exp(1)^4-144*x^5*exp(1)^3+(-6*x^6-36*x^5+864*x^4+72*x^3)*exp(1)^2+(48*x^5+288*x^4-2304*x^3-576*x^2)*exp(1)+x^6+12*x^5-60*x^4-600*x^3+2160*x^2+1152*x+144),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x}{x \,{\mathrm e}^{10}+2 x^{2} {\mathrm e}^{6}-8 x \,{\mathrm e}^{5}+x^{3} {\mathrm e}^{2}-8 x^{2} {\mathrm e}-\frac{x^{3}}{3}-2 x^{2}+16 x +4}$&$50$\\ gosper&$\frac{15 x}{3 x^{3} {\mathrm e}^{2}+6 x^{2} {\mathrm e} \,{\mathrm e}^{5}+3 x \,{\mathrm e}^{10}-24 x^{2} {\mathrm e}-x^{3}-24 x \,{\mathrm e}^{5}-6 x^{2}+48 x +12}$&$58$\\ norman&$\frac{15 x}{3 x^{3} {\mathrm e}^{2}+6 x^{2} {\mathrm e} \,{\mathrm e}^{5}+3 x \,{\mathrm e}^{10}-24 x^{2} {\mathrm e}-x^{3}-24 x \,{\mathrm e}^{5}-6 x^{2}+48 x +12}$&$58$\\ default&$5 \left(\munderset{\textit{\_R} =\RootOf \left(-144-\left(1-6 \,{\mathrm e}^{2}+9 \,{\mathrm e}^{4}\right) \textit{\_Z}^{6}-\left(-36 \,{\mathrm e}^{2}+36 \,{\mathrm e}^{8}-12 \,{\mathrm e}^{6}+48 \,{\mathrm e}-144 \,{\mathrm e}^{3}+12\right) \textit{\_Z}^{5}-\left(48 \,{\mathrm e}^{5}+864 \,{\mathrm e}^{2}-6 \,{\mathrm e}^{10}-72 \,{\mathrm e}^{6}-432 \,{\mathrm e}^{7}+54 \,{\mathrm e}^{12}+288 \,{\mathrm e}-60\right) \textit{\_Z}^{4}-\left(288 \,{\mathrm e}^{5}+72 \,{\mathrm e}^{2}-36 \,{\mathrm e}^{10}+1728 \,{\mathrm e}^{6}+36 \,{\mathrm e}^{16}-432 \,{\mathrm e}^{11}-2304 \,{\mathrm e}-600\right) \textit{\_Z}^{3}-\left(-2304 \,{\mathrm e}^{5}+864 \,{\mathrm e}^{10}+9 \,{\mathrm e}^{20}+144 \,{\mathrm e}^{6}-144 \,{\mathrm e}^{15}-576 \,{\mathrm e}+2160\right) \textit{\_Z}^{2}-\left(-576 \,{\mathrm e}^{5}+72 \,{\mathrm e}^{10}+1152\right) \textit{\_Z} \right)}{\sum}\frac{\left(6+\left(-3 \,{\mathrm e}^{2}+1\right) \textit{\_R}^{3}+3 \left(1-{\mathrm e}^{6}+4 \,{\mathrm e}\right) \textit{\_R}^{2}\right) \ln \left(x -\textit{\_R} \right)}{192+720 \textit{\_R} +12 \,{\mathrm e}^{10}-96 \,{\mathrm e}^{5}+576 \textit{\_R}^{3} {\mathrm e}^{2}+40 \textit{\_R}^{4} {\mathrm e}-10 \textit{\_R}^{4} {\mathrm e}^{6}-120 \textit{\_R}^{4} {\mathrm e}^{3}-48 \textit{\_R}^{3} {\mathrm e}^{6}+36 \textit{\_R}^{2} {\mathrm e}^{2}-192 \textit{\_R} \,{\mathrm e}+\textit{\_R}^{5}+10 \textit{\_R}^{4}+144 \textit{\_R}^{2} {\mathrm e}^{5}+288 \textit{\_R} \,{\mathrm e}^{10}-768 \textit{\_R} \,{\mathrm e}^{5}-40 \textit{\_R}^{3}-300 \textit{\_R}^{2}+36 \textit{\_R}^{3} {\mathrm e}^{12}-6 \,{\mathrm e}^{2} \textit{\_R}^{5}-48 \textit{\_R} \,{\mathrm e}^{15}+18 \textit{\_R}^{2} {\mathrm e}^{16}+32 \textit{\_R}^{3} {\mathrm e}^{5}-30 \textit{\_R}^{4} {\mathrm e}^{2}-1152 \textit{\_R}^{2} {\mathrm e}+192 \textit{\_R}^{3} {\mathrm e}-18 \,{\mathrm e}^{10} \textit{\_R}^{2}+3 \textit{\_R} \,{\mathrm e}^{20}-4 \textit{\_R}^{3} {\mathrm e}^{10}+9 \textit{\_R}^{5} {\mathrm e}^{4}+30 \textit{\_R}^{4} {\mathrm e}^{8}-288 \textit{\_R}^{3} {\mathrm e}^{7}-216 \textit{\_R}^{2} {\mathrm e}^{11}+864 \textit{\_R}^{2} {\mathrm e}^{6}+48 \textit{\_R} \,{\mathrm e}^{6}}\right)$&$409$\\ \hline \end{longtable}"," ",0,"5*x/(x*exp(10)+2*x^2*exp(6)-8*x*exp(5)+x^3*exp(2)-8*x^2*exp(1)-1/3*x^3-2*x^2+16*x+4)","A"
6217,1,35,30,0.119000," ","int(((-100*x*ln(x)^2+(200*x*exp(3)-50*x^2)*ln(x)-100*x*exp(3)^2+50*x^2*exp(3))*exp(2/exp(x))+50*exp(x)*ln(x)^2+(-100*exp(3)+50*x)*exp(x)*ln(x)+(50*exp(3)^2-50*x*exp(3)-25*x)*exp(x))*exp(exp(2/exp(x))-5)/(exp(x)*ln(x)^2-2*exp(3)*exp(x)*ln(x)+exp(3)^2*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 \left(2 \,{\mathrm e}^{3}-x -2 \ln \left(x \right)\right) x \,{\mathrm e}^{{\mathrm e}^{2 \,{\mathrm e}^{-x}}-5}}{{\mathrm e}^{3}-\ln \left(x \right)}$&$35$\\ \hline \end{longtable}"," ",0,"25*(2*exp(3)-x-2*ln(x))*x/(exp(3)-ln(x))*exp(exp(2*exp(-x))-5)","A"
6218,1,22,24,0.060000," ","int(1/5*((30*x^2*exp(x^2)-15*x-5)*exp(3*exp(x^2)-3*x)+(-5*x+5)*exp(x)-2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{2}{5}-{\mathrm e}^{x}+{\mathrm e}^{3 \,{\mathrm e}^{x^{2}}-3 x}}{x}$&$22$\\ risch&$\frac{2}{5 x}-\frac{{\mathrm e}^{x}}{x}+\frac{{\mathrm e}^{3 \,{\mathrm e}^{x^{2}}-3 x}}{x}$&$29$\\ \hline \end{longtable}"," ",0,"(2/5-exp(x)+exp(3*exp(x^2)-3*x))/x","A"
6219,1,10,15,0.114000," ","int((25*x-25)*exp(x)/x^2/exp(6)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 \,{\mathrm e}^{x -12}}{x}$&$10$\\ gosper&$\frac{25 \,{\mathrm e}^{x} {\mathrm e}^{-12}}{x}$&$12$\\ default&$\frac{25 \,{\mathrm e}^{x} {\mathrm e}^{-12}}{x}$&$12$\\ norman&$\frac{25 \,{\mathrm e}^{x} {\mathrm e}^{-12}}{x}$&$12$\\ meijerg&$25 \,{\mathrm e}^{-12} \left(-\ln \left(-x \right)-\expIntegralEi \left(1, -x \right)+\ln \left(x \right)+i \pi \right)+25 \,{\mathrm e}^{-12} \left(-\frac{2 x +2}{2 x}+\frac{{\mathrm e}^{x}}{x}+\ln \left(-x \right)+\expIntegralEi \left(1, -x \right)+1-\ln \left(x \right)-i \pi +\frac{1}{x}\right)$&$68$\\ \hline \end{longtable}"," ",0,"25/x*exp(x-12)","A"
6220,1,21,24,0.440000," ","int((-3*exp(3/(2*x+2))*exp(exp(4))+(-100*x^3-123*x^2-99*x+5)*exp(3/(2*x+2)))/(2*x^2+4*x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left({\mathrm e}^{{\mathrm e}^{4}}-1-25 x^{2}+x \right) {\mathrm e}^{\frac{3}{2 \left(x +1\right)}}$&$21$\\ risch&$\left({\mathrm e}^{{\mathrm e}^{4}}-1-25 x^{2}+x \right) {\mathrm e}^{\frac{3}{2 \left(x +1\right)}}$&$21$\\ derivativedivides&$-25 \,{\mathrm e}^{\frac{3}{2 \left(x +1\right)}} \left(x +1\right)^{2}+51 \,{\mathrm e}^{\frac{3}{2 \left(x +1\right)}} \left(x +1\right)+{\mathrm e}^{\frac{3}{2 \left(x +1\right)}} {\mathrm e}^{{\mathrm e}^{4}}-27 \,{\mathrm e}^{\frac{3}{2 \left(x +1\right)}}$&$52$\\ default&$-25 \,{\mathrm e}^{\frac{3}{2 \left(x +1\right)}} \left(x +1\right)^{2}+51 \,{\mathrm e}^{\frac{3}{2 \left(x +1\right)}} \left(x +1\right)+{\mathrm e}^{\frac{3}{2 \left(x +1\right)}} {\mathrm e}^{{\mathrm e}^{4}}-27 \,{\mathrm e}^{\frac{3}{2 \left(x +1\right)}}$&$52$\\ norman&$\frac{\left({\mathrm e}^{{\mathrm e}^{4}}-1\right) {\mathrm e}^{\frac{3}{2 x +2}}+x \,{\mathrm e}^{{\mathrm e}^{4}} {\mathrm e}^{\frac{3}{2 x +2}}-24 x^{2} {\mathrm e}^{\frac{3}{2 x +2}}-25 x^{3} {\mathrm e}^{\frac{3}{2 x +2}}}{x +1}$&$69$\\ \hline \end{longtable}"," ",0,"(exp(exp(4))-1-25*x^2+x)*exp(3/2/(x+1))","A"
6221,1,27,27,0.080000," ","int(((2*x*exp(3/4)+x^4-20*x)*ln(x)*ln(ln(x))+((4*x^3-5)*exp(3/4)-x^6-50*x^3+50)*ln(x)+x*exp(3/4)-x^4-10*x)/(x^4*ln(x)*ln(ln(x))^2+(2*x^6-10*x^3)*ln(x)*ln(ln(x))+(x^8-10*x^5+25*x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{-x^{3}+{\mathrm e}^{\frac{3}{4}}-10}{x \left(x^{3}+x \ln \left(\ln \left(x \right)\right)-5\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-(-x^3+exp(3/4)-10)/x/(x^3+x*ln(ln(x))-5)","A"
6222,1,6,18,0.007000," ","int(-18/25*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{9 x^{2}}{25}$&$6$\\ default&$-\frac{9 x^{2}}{25}$&$6$\\ norman&$-\frac{9 x^{2}}{25}$&$6$\\ risch&$-\frac{9 x^{2}}{25}$&$6$\\ \hline \end{longtable}"," ",0,"-9/25*x^2","A"
6223,1,28,25,0.044000," ","int((156*x^4+364*x^3+4110*x^2+4500*x+24375)/(156*x^5+362*x^4+4110*x^3+4525*x^2+24375*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(26 x^{2}+30 x +325\right)+\ln \left(x \right)-\ln \left(6 x^{2}+7 x +75\right)$&$28$\\ norman&$\ln \left(26 x^{2}+30 x +325\right)+\ln \left(x \right)-\ln \left(6 x^{2}+7 x +75\right)$&$28$\\ risch&$-\ln \left(6 x^{2}+7 x +75\right)+\ln \left(26 x^{3}+30 x^{2}+325 x \right)$&$30$\\ \hline \end{longtable}"," ",0,"ln(26*x^2+30*x+325)+ln(x)-ln(6*x^2+7*x+75)","A"
6224,1,33,25,0.552000," ","int((-48*ln(3)^2+2*(36*x^2-6*x-24)*ln(3)-24*x^3+3*x^2+30)/(8*ln(3)^2-8*x*ln(3)+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{3 \left(-4 x^{3}+x^{2}-10+16 \ln \left(3\right)^{2}+16 \ln \left(3\right)\right)}{2 \left(2 \ln \left(3\right)-x \right)}$&$33$\\ norman&$\frac{-\frac{3 x^{2}}{2}+6 x^{3}+15-24 \ln \left(3\right)^{2}-24 \ln \left(3\right)}{2 \ln \left(3\right)-x}$&$34$\\ default&$-6 x^{2}-12 x \ln \left(3\right)+\frac{3 x}{2}-\frac{3 \left(32 \ln \left(3\right)^{3}-20 \ln \left(3\right)^{2}-16 \ln \left(3\right)+10\right)}{2 \left(-2 \ln \left(3\right)+x \right)}$&$43$\\ risch&$-12 x \ln \left(3\right)-6 x^{2}+\frac{3 x}{2}+\frac{24 \ln \left(3\right)^{3}}{\ln \left(3\right)-\frac{x}{2}}-\frac{15 \ln \left(3\right)^{2}}{\ln \left(3\right)-\frac{x}{2}}-\frac{12 \ln \left(3\right)}{\ln \left(3\right)-\frac{x}{2}}+\frac{15}{2 \left(\ln \left(3\right)-\frac{x}{2}\right)}$&$65$\\ meijerg&$-\frac{6 x}{1-\frac{x}{2 \ln \left(3\right)}}+\frac{15 x}{4 \ln \left(3\right)^{2} \left(1-\frac{x}{2 \ln \left(3\right)}\right)}-48 \ln \left(3\right)^{2} \left(\frac{x \left(-\frac{x^{2}}{2 \ln \left(3\right)^{2}}-\frac{3 x}{\ln \left(3\right)}+12\right)}{8 \ln \left(3\right) \left(1-\frac{x}{2 \ln \left(3\right)}\right)}+3 \ln \left(1-\frac{x}{2 \ln \left(3\right)}\right)\right)-2 \left(36 \ln \left(3\right)+\frac{3}{2}\right) \ln \left(3\right) \left(-\frac{x \left(-\frac{3 x}{2 \ln \left(3\right)}+6\right)}{6 \ln \left(3\right) \left(1-\frac{x}{2 \ln \left(3\right)}\right)}-2 \ln \left(1-\frac{x}{2 \ln \left(3\right)}\right)\right)-6 \ln \left(3\right) \left(\frac{x}{2 \ln \left(3\right) \left(1-\frac{x}{2 \ln \left(3\right)}\right)}+\ln \left(1-\frac{x}{2 \ln \left(3\right)}\right)\right)-\frac{6 x}{\ln \left(3\right) \left(1-\frac{x}{2 \ln \left(3\right)}\right)}$&$190$\\ \hline \end{longtable}"," ",0,"-3/2*(-4*x^3+x^2-10+16*ln(3)^2+16*ln(3))/(2*ln(3)-x)","A"
6225,1,21,24,0.053000," ","int(((6*x+9)*exp(exp(x)*x)+(3*x^2+3*x)*exp(x)^3+(-6*x-3)*exp(x)^2)/exp(exp(x)*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x^{2}+9 x -3 x \,{\mathrm e}^{-x \left({\mathrm e}^{x}-2\right)}$&$21$\\ norman&$\left(-3 x \,{\mathrm e}^{2 x}+3 x^{2} {\mathrm e}^{{\mathrm e}^{x} x}+9 \,{\mathrm e}^{{\mathrm e}^{x} x} x \right) {\mathrm e}^{-{\mathrm e}^{x} x}$&$35$\\ \hline \end{longtable}"," ",0,"3*x^2+9*x-3*x*exp(-x*(exp(x)-2))","A"
6226,1,122,15,0.064000," ","int(1/125*(500*x*exp(x)^4+(1500*x^3+2500*x^2+1700*x)*exp(x)^3+(1500*x^5+6000*x^4+8400*x^3+6300*x^2+2160*x)*exp(x)^2+(500*x^7+4500*x^6+10200*x^5+13700*x^4+10860*x^3+5280*x^2+1216*x)*exp(x)+1000*x^8+3500*x^7+6900*x^6+8500*x^5+7220*x^4+4080*x^3+1472*x^2+256*x-25)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{736 x^{2}}{125}+\frac{256 x}{125}-\frac{\ln \left(x \right)}{5}+\frac{272 x^{3}}{25}+\frac{361 x^{4}}{25}+\frac{68 x^{5}}{5}+\frac{46 x^{6}}{5}+4 x^{7}+x^{8}+{\mathrm e}^{4 x}+\frac{\left(500 x^{2}+500 x +400\right) {\mathrm e}^{3 x}}{125}+\frac{\left(750 x^{4}+1500 x^{3}+1950 x^{2}+1200 x +480\right) {\mathrm e}^{2 x}}{125}+\frac{\left(500 x^{6}+1500 x^{5}+2700 x^{4}+2900 x^{3}+2160 x^{2}+960 x +256\right) {\mathrm e}^{x}}{125}$&$122$\\ default&$\frac{256 x}{125}+{\mathrm e}^{4 x}+12 x^{5} {\mathrm e}^{x}+\frac{16 \,{\mathrm e}^{3 x}}{5}+\frac{96 \,{\mathrm e}^{2 x}}{25}+4 x^{7}+x^{8}-\frac{\ln \left(x \right)}{5}+\frac{361 x^{4}}{25}+\frac{272 x^{3}}{25}+\frac{736 x^{2}}{125}+\frac{256 \,{\mathrm e}^{x}}{125}+\frac{46 x^{6}}{5}+\frac{68 x^{5}}{5}+4 x^{2} {\mathrm e}^{3 x}+12 \,{\mathrm e}^{2 x} x^{3}+\frac{78 \,{\mathrm e}^{2 x} x^{2}}{5}+\frac{48 x \,{\mathrm e}^{2 x}}{5}+4 x^{6} {\mathrm e}^{x}+4 x \,{\mathrm e}^{3 x}+\frac{108 \,{\mathrm e}^{x} x^{4}}{5}+\frac{192 \,{\mathrm e}^{x} x}{25}+\frac{432 \,{\mathrm e}^{x} x^{2}}{25}+\frac{116 \,{\mathrm e}^{x} x^{3}}{5}+6 \,{\mathrm e}^{2 x} x^{4}$&$152$\\ \hline \end{longtable}"," ",0,"736/125*x^2+256/125*x-1/5*ln(x)+272/25*x^3+361/25*x^4+68/5*x^5+46/5*x^6+4*x^7+x^8+exp(4*x)+1/125*(500*x^2+500*x+400)*exp(3*x)+1/125*(750*x^4+1500*x^3+1950*x^2+1200*x+480)*exp(2*x)+1/125*(500*x^6+1500*x^5+2700*x^4+2900*x^3+2160*x^2+960*x+256)*exp(x)","B"
6227,1,11,11,0.027000," ","int(10/13*exp(5*x)-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x +\frac{2 \,{\mathrm e}^{5 x}}{13}$&$11$\\ norman&$-3 x +\frac{2 \,{\mathrm e}^{5 x}}{13}$&$11$\\ risch&$-3 x +\frac{2 \,{\mathrm e}^{5 x}}{13}$&$11$\\ derivativedivides&$\frac{2 \,{\mathrm e}^{5 x}}{13}-\frac{3 \ln \left({\mathrm e}^{5 x}\right)}{5}$&$15$\\ \hline \end{longtable}"," ",0,"-3*x+2/13*exp(5*x)","A"
6228,1,69,28,0.119000," ","int(1/5*((40*x^6+5*x^4)*exp(1/25*x^2)^4*exp(x^2)^4+(-592*x^5-100*x^4)*exp(5+x)*exp(1/25*x^2)^3*exp(x^2)^3+(2880*x^4+1500*x^3-750*x^2)*exp(5+x)^2*exp(1/25*x^2)^2*exp(x^2)^2+(-4400*x^3-7500*x^2+5000*x)*exp(5+x)^3*exp(1/25*x^2)*exp(x^2)+(-1000*x^2+12500*x-9375)*exp(5+x)^4)/x^4/exp(1/25*x^2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{4 x^{2}}-20 \,{\mathrm e}^{5+x +\frac{74}{25} x^{2}}+\frac{150 \,{\mathrm e}^{2 x +10+\frac{48}{25} x^{2}}}{x}-\frac{500 \,{\mathrm e}^{15+3 x +\frac{22}{25} x^{2}}}{x^{2}}+\frac{625 \,{\mathrm e}^{20+4 x -\frac{4}{25} x^{2}}}{x^{3}}$&$69$\\ \hline \end{longtable}"," ",0,"x*exp(4*x^2)-20*exp(5+x+74/25*x^2)+150/x*exp(2*x+10+48/25*x^2)-500/x^2*exp(15+3*x+22/25*x^2)+625/x^3*exp(20+4*x-4/25*x^2)","B"
6229,1,17,19,0.034000," ","int(((ln(x^2)-3)*ln(3-ln(x^2))-62*ln(x^2)+188)/(15*ln(x^2)-45),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{62 x}{15}+\frac{x \ln \left(3-\ln \left(x^{2}\right)\right)}{15}$&$17$\\ \hline \end{longtable}"," ",0,"-62/15*x+1/15*x*ln(3-ln(x^2))","A"
6230,0,0,17,0.017000," ","int((((3*x^4-243*x)*ln((x^3-81)/x^2)+9*x^4-729*x)*ln(ln((x^3-81)/x^2)+3)-3*x^4-x^3-486*x-162)/((3*x^4-243*x)*ln((x^3-81)/x^2)+9*x^4-729*x)/ln(ln((x^3-81)/x^2)+3)^2,x)","\[\int \frac{\left(\left(3 x^{4}-243 x \right) \ln \left(\frac{x^{3}-81}{x^{2}}\right)+9 x^{4}-729 x \right) \ln \left(\ln \left(\frac{x^{3}-81}{x^{2}}\right)+3\right)-3 x^{4}-x^{3}-486 x -162}{\left(\left(3 x^{4}-243 x \right) \ln \left(\frac{x^{3}-81}{x^{2}}\right)+9 x^{4}-729 x \right) \ln \left(\ln \left(\frac{x^{3}-81}{x^{2}}\right)+3\right)^{2}}\, dx\]"," ",0,"int((((3*x^4-243*x)*ln((x^3-81)/x^2)+9*x^4-729*x)*ln(ln((x^3-81)/x^2)+3)-3*x^4-x^3-486*x-162)/((3*x^4-243*x)*ln((x^3-81)/x^2)+9*x^4-729*x)/ln(ln((x^3-81)/x^2)+3)^2,x)","F"
6231,1,55,33,0.044000," ","int((50*x^2+50*x)*exp(x)^2+(50*x^6+300*x^5-300*x^4-1200*x^3+500*x^2+1000*x)*exp(x)+250*x^9-2400*x^7+8400*x^5-12000*x^3+5000*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 \,{\mathrm e}^{2 x} x^{2}+\left(50 x^{6}-300 x^{4}+500 x^{2}\right) {\mathrm e}^{x}+25 x^{10}-300 x^{8}+1400 x^{6}-3000 x^{4}+2500 x^{2}$&$55$\\ default&$25 \,{\mathrm e}^{2 x} x^{2}+50 x^{6} {\mathrm e}^{x}+500 \,{\mathrm e}^{x} x^{2}-300 \,{\mathrm e}^{x} x^{4}+2500 x^{2}-3000 x^{4}+1400 x^{6}-300 x^{8}+25 x^{10}$&$57$\\ norman&$25 \,{\mathrm e}^{2 x} x^{2}+50 x^{6} {\mathrm e}^{x}+500 \,{\mathrm e}^{x} x^{2}-300 \,{\mathrm e}^{x} x^{4}+2500 x^{2}-3000 x^{4}+1400 x^{6}-300 x^{8}+25 x^{10}$&$57$\\ \hline \end{longtable}"," ",0,"25*exp(2*x)*x^2+(50*x^6-300*x^4+500*x^2)*exp(x)+25*x^10-300*x^8+1400*x^6-3000*x^4+2500*x^2","A"
6232,1,12,13,0.046000," ","int((-2*exp(1)-3*x^2)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x -{\mathrm e}^{-1} x^{3}$&$12$\\ norman&$-2 x -{\mathrm e}^{-1} x^{3}$&$14$\\ gosper&$-x \left(x^{2}+2 \,{\mathrm e}\right) {\mathrm e}^{-1}$&$16$\\ default&${\mathrm e}^{-1} \left(-2 x \,{\mathrm e}-x^{3}\right)$&$17$\\ \hline \end{longtable}"," ",0,"-2*x-exp(-1)*x^3","A"
6233,1,21,20,0.044000," ","int(1/9*(((-72*x-36)*exp(x)-36*x-36)*exp(x+ln(x))+18*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\frac{\ln \left(x \right)}{9}-4 \,{\mathrm e}^{x} x -4 x \,{\mathrm e}^{2 x}$&$21$\\ norman&$2 x +\frac{\ln \left(x \right)}{9}-4 \,{\mathrm e}^{x} x -4 x \,{\mathrm e}^{2 x}$&$21$\\ risch&$2 x +\frac{\ln \left(x \right)}{9}-4 \,{\mathrm e}^{x} x -4 x \,{\mathrm e}^{2 x}$&$21$\\ \hline \end{longtable}"," ",0,"2*x+1/9*ln(x)-4*exp(x)*x-4*x*exp(2*x)","A"
6234,1,333,17,0.701000," ","int((ln(x)^3-3*x*ln(x)^2+(3*x^2+2*x)*ln(x)-x^3-2*x)/(x*ln(x)^3-3*x^2*ln(x)^2+(3*x^3+x^2)*ln(x)-x^4-x^3)/ln((x*ln(x)^2-2*x^2*ln(x)+x^3+x^2)/(ln(x)^2-2*x*ln(x)+x^2))/ln(ln((x*ln(x)^2-2*x^2*ln(x)+x^3+x^2)/(ln(x)^2-2*x*ln(x)+x^2))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\ln \left(x \right)-2 \ln \left(x -\ln \left(x \right)\right)+\ln \left(x^{2}+\left(-2 \ln \left(x \right)+1\right) x +\ln \left(x \right)^{2}\right)+\frac{i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)^{2}\right) \left(-\mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)^{2}\right)-\mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(x^{2}+\left(-2 \ln \left(x \right)+1\right) x +\ln \left(x \right)^{2}\right)}{\left(\ln \left(x \right)-x \right)^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i \left(x^{2}+\left(-2 \ln \left(x \right)+1\right) x +\ln \left(x \right)^{2}\right)}{\left(\ln \left(x \right)-x \right)^{2}}\right)+\mathrm{csgn}\left(\frac{i}{\left(\ln \left(x \right)-x \right)^{2}}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(x^{2}+\left(-2 \ln \left(x \right)+1\right) x +\ln \left(x \right)^{2}\right)}{\left(\ln \left(x \right)-x \right)^{2}}\right)+\mathrm{csgn}\left(i \left(x^{2}+\left(-2 \ln \left(x \right)+1\right) x +\ln \left(x \right)^{2}\right)\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x \left(x^{2}+\left(-2 \ln \left(x \right)+1\right) x +\ln \left(x \right)^{2}\right)}{\left(\ln \left(x \right)-x \right)^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i x \left(x^{2}+\left(-2 \ln \left(x \right)+1\right) x +\ln \left(x \right)^{2}\right)}{\left(\ln \left(x \right)-x \right)^{2}}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(\frac{i x \left(x^{2}+\left(-2 \ln \left(x \right)+1\right) x +\ln \left(x \right)^{2}\right)}{\left(\ln \left(x \right)-x \right)^{2}}\right)+\mathrm{csgn}\left(\frac{i \left(x^{2}+\left(-2 \ln \left(x \right)+1\right) x +\ln \left(x \right)^{2}\right)}{\left(\ln \left(x \right)-x \right)^{2}}\right)\right)}{2}\right)\right)$&$333$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(x)-2*ln(x-ln(x))+ln(x^2+(-2*ln(x)+1)*x+ln(x)^2)+1/2*I*Pi*csgn(I*(ln(x)-x)^2)*(-csgn(I*(ln(x)-x)^2)-csgn(I*(ln(x)-x)))^2-1/2*I*Pi*csgn(I/(ln(x)-x)^2*(x^2+(-2*ln(x)+1)*x+ln(x)^2))*(-csgn(I/(ln(x)-x)^2*(x^2+(-2*ln(x)+1)*x+ln(x)^2))+csgn(I/(ln(x)-x)^2))*(-csgn(I/(ln(x)-x)^2*(x^2+(-2*ln(x)+1)*x+ln(x)^2))+csgn(I*(x^2+(-2*ln(x)+1)*x+ln(x)^2)))-1/2*I*Pi*csgn(I*x*(x^2+(-2*ln(x)+1)*x+ln(x)^2)/(ln(x)-x)^2)*(-csgn(I*x*(x^2+(-2*ln(x)+1)*x+ln(x)^2)/(ln(x)-x)^2)+csgn(I*x))*(-csgn(I*x*(x^2+(-2*ln(x)+1)*x+ln(x)^2)/(ln(x)-x)^2)+csgn(I/(ln(x)-x)^2*(x^2+(-2*ln(x)+1)*x+ln(x)^2)))))","C"
6235,1,13,20,0.018000," ","int(10/3*ln(2)+5/3*exp(3)+5/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(\frac{10 \ln \left(2\right)}{3}+\frac{5 \,{\mathrm e}^{3}}{3}+\frac{5}{3}\right) x$&$13$\\ norman&$\left(\frac{10 \ln \left(2\right)}{3}+\frac{5 \,{\mathrm e}^{3}}{3}+\frac{5}{3}\right) x$&$13$\\ risch&$\frac{10 x \ln \left(2\right)}{3}+\frac{5 x \,{\mathrm e}^{3}}{3}+\frac{5 x}{3}$&$15$\\ \hline \end{longtable}"," ",0,"(10/3*ln(2)+5/3*exp(3)+5/3)*x","A"
6236,1,23,18,0.029000," ","int(1/2*(-4*x-2)*exp(1)-9/2*x^2-9*x+3/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(2 x \,{\mathrm e}+3 x^{2}+2 \,{\mathrm e}+9 x -3\right)}{2}$&$23$\\ norman&$\left(-{\mathrm e}-\frac{9}{2}\right) x^{2}+\left(-{\mathrm e}+\frac{3}{2}\right) x -\frac{3 x^{3}}{2}$&$25$\\ risch&$-x^{2} {\mathrm e}-x \,{\mathrm e}-\frac{3 x^{3}}{2}-\frac{9 x^{2}}{2}+\frac{3 x}{2}$&$27$\\ default&$\frac{{\mathrm e} \left(-2 x^{2}-2 x \right)}{2}-\frac{3 x^{3}}{2}-\frac{9 x^{2}}{2}+\frac{3 x}{2}$&$28$\\ \hline \end{longtable}"," ",0,"-1/2*x*(2*x*exp(1)+3*x^2+2*exp(1)+9*x-3)","A"
6237,1,25,23,0.361000," ","int(((250*x^2-625*x+375)*ln(2*x-3)+100*exp(x)+250*x)*exp((2*exp(x)+5*x)/exp(x)/ln(2*x-3))/(2*x-3)/exp(x)/ln(2*x-3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-25 \,{\mathrm e}^{\frac{\left(2 \,{\mathrm e}^{x}+5 x \right) {\mathrm e}^{-x}}{\ln \left(2 x -3\right)}}$&$25$\\ \hline \end{longtable}"," ",0,"-25*exp((2*exp(x)+5*x)*exp(-x)/ln(2*x-3))","A"
6238,0,0,22,0.018000," ","int((((-2*x+2)*ln(-2*x^3+2*x^2)+2*x-2)*ln(-ln(-2*x^3+2*x^2)+1)+6*x-4)/((x^3-x^2)*ln(-2*x^3+2*x^2)-x^3+x^2),x)","\[\int \frac{\left(\left(-2 x +2\right) \ln \left(-2 x^{3}+2 x^{2}\right)+2 x -2\right) \ln \left(-\ln \left(-2 x^{3}+2 x^{2}\right)+1\right)+6 x -4}{\left(x^{3}-x^{2}\right) \ln \left(-2 x^{3}+2 x^{2}\right)-x^{3}+x^{2}}\, dx\]"," ",0,"int((((-2*x+2)*ln(-2*x^3+2*x^2)+2*x-2)*ln(-ln(-2*x^3+2*x^2)+1)+6*x-4)/((x^3-x^2)*ln(-2*x^3+2*x^2)-x^3+x^2),x)","F"
6239,1,36,21,0.127000," ","int((4*ln(3/2*x)^2+(-4*exp(x)+20)*ln(3/2*x)+(-8*exp(x)*x+16)*ln(x)+exp(x)^2-10*exp(x)+9)/(4*x*ln(3/2*x)^2+(-4*exp(x)*x+36*x)*ln(3/2*x)+x*exp(x)^2-18*exp(x)*x+81*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\frac{-36+8 \ln \left(2\right)-8 \ln \left(3\right)+4 \,{\mathrm e}^{x}}{-9+2 \ln \left(2\right)-2 \ln \left(3\right)+{\mathrm e}^{x}-2 \ln \left(x \right)}$&$36$\\ \hline \end{longtable}"," ",0,"ln(x)+4*(-9+2*ln(2)-2*ln(3)+exp(x))/(-9+2*ln(2)-2*ln(3)+exp(x)-2*ln(x))","A"
6240,1,50,25,0.148000," ","int(((-4*x*exp(2)*exp(x)^2+(4*x^3+12*x^2+24*x)*exp(2)*exp(x)+(-8*x^4-12*x^3-44*x^2-20*x+2)*exp(2))*exp(exp(x)^2+(-2*x^2-2*x-10)*exp(x)+x^4+2*x^3+11*x^2+10*x+25)+x^2*exp(2))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2} x -\frac{2 \,{\mathrm e}^{27+x^{4}-2 \,{\mathrm e}^{x} x^{2}+2 x^{3}-2 \,{\mathrm e}^{x} x +11 x^{2}-10 \,{\mathrm e}^{x}+{\mathrm e}^{2 x}+10 x}}{x}$&$50$\\ norman&$\frac{x^{2} {\mathrm e}^{2}-2 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{2 x}+\left(-2 x^{2}-2 x -10\right) {\mathrm e}^{x}+x^{4}+2 x^{3}+11 x^{2}+10 x +25}}{x}$&$52$\\ \hline \end{longtable}"," ",0,"exp(2)*x-2/x*exp(27+x^4-2*exp(x)*x^2+2*x^3-2*exp(x)*x+11*x^2-10*exp(x)+exp(2*x)+10*x)","A"
6241,1,18,18,0.050000," ","int((12*x^2+20*x-15)*exp(4/5*x^3+2*x^2-3*x)/(5*exp(4/5*x^3+2*x^2-3*x)-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{\frac{x \left(4 x^{2}+10 x -15\right)}{5}}-5\right)$&$18$\\ norman&$\ln \left(5 \,{\mathrm e}^{\frac{4}{5} x^{3}+2 x^{2}-3 x}-25\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(exp(1/5*x*(4*x^2+10*x-15))-5)","A"
6242,1,19,20,0.041000," ","int(exp(-x)*exp(4*exp(1)^2)+18*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +9 x^{2}-{\mathrm e}^{4 \,{\mathrm e}^{2}-x}$&$19$\\ derivativedivides&$x -{\mathrm e}^{4 \,{\mathrm e}^{2}} {\mathrm e}^{-x}+9 x^{2}$&$21$\\ default&$x -{\mathrm e}^{4 \,{\mathrm e}^{2}} {\mathrm e}^{-x}+9 x^{2}$&$21$\\ norman&$x -{\mathrm e}^{4 \,{\mathrm e}^{2}} {\mathrm e}^{-x}+9 x^{2}$&$21$\\ \hline \end{longtable}"," ",0,"x+9*x^2-exp(4*exp(2)-x)","A"
6243,1,19,18,0.413000," ","int((((-8*x-4)*ln(2)-4*x^2-2*x+2)*exp(x^2+x)+4*ln(2)^2+4*x*ln(2)+x^2)/(4*ln(2)^2+4*x*ln(2)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{2 \,{\mathrm e}^{\left(x +1\right) x}}{x +2 \ln \left(2\right)}$&$19$\\ norman&$\frac{x^{2}-2 \,{\mathrm e}^{x^{2}+x}-4 \ln \left(2\right)^{2}}{x +2 \ln \left(2\right)}$&$28$\\ \hline \end{longtable}"," ",0,"x-2/(x+2*ln(2))*exp((x+1)*x)","A"
6244,1,21,17,0.038000," ","int((-x^2-2*x)*exp(x+1)+(x+1)*exp(x)+1-6*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +{\mathrm e}^{x} x -3 x^{2}-x^{2} {\mathrm e} \,{\mathrm e}^{x}$&$21$\\ risch&$-x^{2} {\mathrm e}^{x +1}+{\mathrm e}^{x} x +x -3 x^{2}$&$21$\\ default&${\mathrm e}^{x} x +x -{\mathrm e}^{x +1} \left(x +1\right)^{2}+2 \,{\mathrm e}^{x +1} \left(x +1\right)-{\mathrm e}^{x +1}-3 x^{2}$&$38$\\ \hline \end{longtable}"," ",0,"x+exp(x)*x-3*x^2-x^2*exp(1)*exp(x)","A"
6245,1,15,21,0.346000," ","int((-19*x^2-3*x-3)/(19*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\ln \left(x \right)+\ln \left(19 x +3\right)$&$15$\\ norman&$-x -\ln \left(x \right)+\ln \left(19 x +3\right)$&$15$\\ risch&$-x -\ln \left(x \right)+\ln \left(19 x +3\right)$&$15$\\ meijerg&$\ln \left(1+\frac{19 x}{3}\right)-\ln \left(x \right)-\ln \left(19\right)+\ln \left(3\right)-x$&$21$\\ \hline \end{longtable}"," ",0,"-x-ln(x)+ln(19*x+3)","A"
6246,1,12,20,0.102000," ","int((exp(x*exp(625))+24*x*exp(625)-24)/exp(x*exp(625)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -24 x \,{\mathrm e}^{-x \,{\mathrm e}^{625}}$&$12$\\ norman&$\left(x \,{\mathrm e}^{x \,{\mathrm e}^{625}}-24 x \right) {\mathrm e}^{-x \,{\mathrm e}^{625}}$&$20$\\ derivativedivides&${\mathrm e}^{-625} \left(x \,{\mathrm e}^{625}-24 \,{\mathrm e}^{-x \,{\mathrm e}^{625}} x \,{\mathrm e}^{625}\right)$&$23$\\ default&${\mathrm e}^{-625} \left(x \,{\mathrm e}^{625}-24 \,{\mathrm e}^{-x \,{\mathrm e}^{625}} x \,{\mathrm e}^{625}\right)$&$23$\\ \hline \end{longtable}"," ",0,"x-24*x*exp(-x*exp(625))","A"
6247,1,36,21,0.424000," ","int(((-75*ln(5)^2+(-360*x-450)*ln(5)-432*x^2-1080*x-783)*exp((5*x*ln(5)+12*x^2+15*x-3)/(5*ln(5)+12*x+15))*exp(exp((5*x*ln(5)+12*x^2+15*x-3)/(5*ln(5)+12*x+15)))+200*x^7*ln(5)^2+(960*x^8+1200*x^7)*ln(5)+1152*x^9+2880*x^8+1800*x^7)/(25*ln(5)^2+(120*x+150)*ln(5)+144*x^2+360*x+225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{8}-3 \,{\mathrm e}^{{\mathrm e}^{\frac{5 x \ln \left(5\right)+12 x^{2}+15 x -3}{5 \ln \left(5\right)+12 x +15}}}$&$36$\\ \hline \end{longtable}"," ",0,"x^8-3*exp(exp((5*x*ln(5)+12*x^2+15*x-3)/(5*ln(5)+12*x+15)))","A"
6248,1,16,14,0.168000," ","int(-4*exp(224/9)/(2*x*exp(224/9)*ln(exp(4)/x^2)+3*x*exp(224/9)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(11 \,{\mathrm e}^{\frac{224}{9}}+2 \,{\mathrm e}^{\frac{224}{9}} \ln \left(\frac{1}{x^{2}}\right)-1\right)$&$16$\\ default&$\ln \left(11 \,{\mathrm e}^{\frac{224}{9}}+2 \,{\mathrm e}^{\frac{224}{9}} \ln \left(\frac{1}{x^{2}}\right)-1\right)$&$16$\\ norman&$\ln \left(2 \,{\mathrm e}^{\frac{224}{9}} \ln \left(\frac{{\mathrm e}^{4}}{x^{2}}\right)+3 \,{\mathrm e}^{\frac{224}{9}}-1\right)$&$19$\\ risch&$\ln \left(\ln \left(\frac{{\mathrm e}^{4}}{x^{2}}\right)+\frac{\left(3 \,{\mathrm e}^{\frac{224}{9}}-1\right) {\mathrm e}^{-\frac{224}{9}}}{2}\right)$&$20$\\ \hline \end{longtable}"," ",0,"ln(11*exp(224/9)+2*exp(224/9)*ln(1/x^2)-1)","A"
6249,1,28,27,0.105000," ","int(((4*x^7+100*x^6-16*x^5-2*x^4-50*x^3+8*x^2)*ln(1/x)^2+((2*x^2+50*x-8)*ln(-x^2-25*x+4)-4*x^2-50*x)*ln(1/x)+(-2*x^2-50*x+8)*ln(-x^2-25*x+4))/(x^4+25*x^3-4*x^2)/ln(1/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(-x^{2}-25 x +4\right)}{x \ln \left(x \right)}+x^{4}-2 x$&$28$\\ \hline \end{longtable}"," ",0,"2/x/ln(x)*ln(-x^2-25*x+4)+x^4-2*x","A"
6250,1,43,33,0.078000," ","int((-4*x^4*exp(x)*ln(x)^2+((-16*x^2-8*x)*exp(x)^2+((32*x^2+16*x)*ln(3)+8*x^3)*exp(x)+(-16*x^2-8*x)*ln(3)^2-8*x^3*ln(3))*ln(x)+(16*x^2+4*x)*exp(x)^2+(-32*x^2-8*x)*ln(3)*exp(x)+(16*x^2+4*x)*ln(3)^2)/(x^4*ln(x)^4+((8*x^3+2*x^2)*exp(x)+(-8*x^3-2*x^2)*ln(3))*ln(x)^3+((16*x^2+8*x+1)*exp(x)^2+(-32*x^2-16*x-2)*ln(3)*exp(x)+(16*x^2+8*x+1)*ln(3)^2)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \left(\ln \left(3\right)-{\mathrm e}^{x}\right) x^{2}}{\left(-x^{2} \ln \left(x \right)+4 x \ln \left(3\right)-4 \,{\mathrm e}^{x} x +\ln \left(3\right)-{\mathrm e}^{x}\right) \ln \left(x \right)}$&$43$\\ \hline \end{longtable}"," ",0,"-4*(ln(3)-exp(x))*x^2/(-x^2*ln(x)+4*x*ln(3)-4*exp(x)*x+ln(3)-exp(x))/ln(x)","A"
6251,1,12,11,0.068000," ","int(1/2*((3*x-3)*exp(x)-26*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-13 x +\frac{3 \,{\mathrm e}^{x}}{2 x}$&$12$\\ risch&$-13 x +\frac{3 \,{\mathrm e}^{x}}{2 x}$&$12$\\ norman&$\frac{-13 x^{2}+\frac{3 \,{\mathrm e}^{x}}{2}}{x}$&$15$\\ \hline \end{longtable}"," ",0,"-13*x+3/2*exp(x)/x","A"
6252,1,16,18,0.051000," ","int(1/2*(-8*exp(16)*ln(2)+4*x^2)/x^2/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{\ln \left(2\right)}+\frac{4 \,{\mathrm e}^{16}}{x}$&$16$\\ default&$\frac{2 x +\frac{4 \,{\mathrm e}^{16} \ln \left(2\right)}{x}}{\ln \left(2\right)}$&$18$\\ norman&$\frac{\frac{2 x^{2}}{\ln \left(2\right)}+4 \,{\mathrm e}^{16}}{x}$&$19$\\ gosper&$\frac{4 \,{\mathrm e}^{16} \ln \left(2\right)+2 x^{2}}{x \ln \left(2\right)}$&$20$\\ \hline \end{longtable}"," ",0,"2*x/ln(2)+4*exp(16)/x","A"
6253,1,40,19,0.085000," ","int(1/3*((3*x^2-4*x)*ln(-ln(3))+9*x^2-12*x)*ln(x^2)+1/3*(2*x^2-4*x)*ln(-ln(3))+2*x^2-4*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-\frac{2 i \pi}{3}-\frac{2 \ln \left(\ln \left(3\right)\right)}{3}-2\right) x^{2} \ln \left(x^{2}\right)+\left(\frac{i \pi}{3}+\frac{\ln \left(\ln \left(3\right)\right)}{3}+1\right) x^{3} \ln \left(x^{2}\right)$&$40$\\ risch&$\frac{i \pi  \,x^{3} \ln \left(x^{2}\right)}{3}-\frac{2 i x^{2} \ln \left(x^{2}\right) \pi}{3}+\frac{\ln \left(\ln \left(3\right)\right) x^{3} \ln \left(x^{2}\right)}{3}-\frac{2 x^{2} \ln \left(x^{2}\right) \ln \left(\ln \left(3\right)\right)}{3}+x^{3} \ln \left(x^{2}\right)-2 x^{2} \ln \left(x^{2}\right)$&$65$\\ default&$-\frac{2 i x^{2} \ln \left(x^{2}\right) \pi}{3}+\frac{2 i \pi  \,x^{2}}{3}+\frac{i \pi  \,x^{3} \ln \left(x^{2}\right)}{3}-\frac{2 i \pi  \,x^{3}}{9}-2 x^{2} \ln \left(x^{2}\right)+x^{3} \ln \left(x^{2}\right)-\frac{2 x^{2} \ln \left(x^{2}\right) \ln \left(\ln \left(3\right)\right)}{3}+\frac{2 x^{2} \ln \left(\ln \left(3\right)\right)}{3}+\frac{\ln \left(\ln \left(3\right)\right) x^{3} \ln \left(x^{2}\right)}{3}-\frac{2 x^{3} \ln \left(\ln \left(3\right)\right)}{9}+\frac{2 \ln \left(-\ln \left(3\right)\right) x^{3}}{9}-\frac{2 \ln \left(-\ln \left(3\right)\right) x^{2}}{3}$&$115$\\ \hline \end{longtable}"," ",0,"(-2/3*I*Pi-2/3*ln(ln(3))-2)*x^2*ln(x^2)+(1/3*I*Pi+1/3*ln(ln(3))+1)*x^3*ln(x^2)","C"
6254,1,12,12,0.051000," ","int(1/6*(27*exp(17)-4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{2 x}{3}-\frac{9 \,{\mathrm e}^{17}}{2 x}$&$12$\\ risch&$-\frac{2 x}{3}-\frac{9 \,{\mathrm e}^{17}}{2 x}$&$12$\\ norman&$\frac{-\frac{2 x^{2}}{3}-\frac{9 \,{\mathrm e}^{17}}{2}}{x}$&$15$\\ gosper&$-\frac{4 x^{2}+27 \,{\mathrm e}^{17}}{6 x}$&$16$\\ \hline \end{longtable}"," ",0,"-2/3*x-9/2/x*exp(17)","A"
6255,1,21,15,0.339000," ","int(((-x^5+5)*ln((x^10-10*x^5+25)/x^8)+2*x^5+40)/(6*x^7-30*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(\frac{x^{10}-10 x^{5}+25}{x^{8}}\right)}{6 x}$&$21$\\ norman&$\frac{\ln \left(\frac{x^{10}-10 x^{5}+25}{x^{8}}\right)}{6 x}$&$21$\\ risch&$\frac{\ln \left(\frac{x^{10}-10 x^{5}+25}{x^{8}}\right)}{6 x}$&$21$\\ \hline \end{longtable}"," ",0,"1/6/x*ln((x^10-10*x^5+25)/x^8)","A"
6256,1,21,20,0.170000," ","int(((-25*x^4+10*x^3-x^2)*exp(5*x/(5*x-1))+75*x^2-45*x+3)/(25*x^4-10*x^3+x^2)/exp(5*x/(5*x-1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{3 \,{\mathrm e}^{-\frac{5 x}{5 x -1}}}{x}$&$21$\\ derivativedivides&$-x +\frac{1}{5}+\frac{15 \,{\mathrm e}^{-1-\frac{1}{5 x -1}}}{1+\frac{1}{5 x -1}}-15 \expIntegralEi \left(1, 1+\frac{1}{5 x -1}\right)$&$44$\\ default&$-x +\frac{1}{5}+\frac{15 \,{\mathrm e}^{-1-\frac{1}{5 x -1}}}{1+\frac{1}{5 x -1}}-15 \expIntegralEi \left(1, 1+\frac{1}{5 x -1}\right)$&$44$\\ norman&$\frac{\left(3+x^{2} {\mathrm e}^{\frac{5 x}{5 x -1}}-15 x -5 \,{\mathrm e}^{\frac{5 x}{5 x -1}} x^{3}\right) {\mathrm e}^{-\frac{5 x}{5 x -1}}}{x \left(5 x -1\right)}$&$61$\\ \hline \end{longtable}"," ",0,"-x-3/x*exp(-5*x/(5*x-1))","A"
6257,1,35,34,0.668000," ","int((((x^2+2*x+5)*ln((x^2+2*x+5)/(x*exp(3)+5*x))-x^2+5)*ln(ln(3))+(x^2+2*x+5)*ln((x^2+2*x+5)/(x*exp(3)+5*x))^2+(-2*x^3-4*x^2-10*x)*ln((x^2+2*x+5)/(x*exp(3)+5*x))+x^4+2*x^3+5*x^2)/((x^2+2*x+5)*ln((x^2+2*x+5)/(x*exp(3)+5*x))^2+(-2*x^3-4*x^2-10*x)*ln((x^2+2*x+5)/(x*exp(3)+5*x))+x^4+2*x^3+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{x \ln \left(\ln \left(3\right)\right)}{x -\ln \left(\frac{x^{2}+2 x +5}{x \,{\mathrm e}^{3}+5 x}\right)}$&$35$\\ default&$x +\frac{-\ln \left(\ln \left(3\right)\right) \ln \left(\frac{x^{2}+2 x +5}{x}\right)+\ln \left(\ln \left(3\right)\right) \ln \left({\mathrm e}^{3}+5\right)}{\ln \left({\mathrm e}^{3}+5\right)+x -\ln \left(\frac{x^{2}+2 x +5}{x}\right)}$&$56$\\ norman&$\frac{x^{2}-\ln \left(\ln \left(3\right)\right) \ln \left(\frac{x^{2}+2 x +5}{x \,{\mathrm e}^{3}+5 x}\right)-x \ln \left(\frac{x^{2}+2 x +5}{x \,{\mathrm e}^{3}+5 x}\right)}{x -\ln \left(\frac{x^{2}+2 x +5}{x \,{\mathrm e}^{3}+5 x}\right)}$&$80$\\ \hline \end{longtable}"," ",0,"x-x*ln(ln(3))/(x-ln((x^2+2*x+5)/(x*exp(3)+5*x)))","A"
6258,1,15,23,0.409000," ","int((exp(1)^2*exp(5)+x^2*exp(1)^2+384*x*exp(1)+36864)/(x^2*exp(1)^2+384*x*exp(1)+36864),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{{\mathrm e}^{6}}{x \,{\mathrm e}+192}$&$15$\\ gosper&$\frac{x \left({\mathrm e}^{2} {\mathrm e}^{5}+192 x \,{\mathrm e}+36864\right)}{192 x \,{\mathrm e}+36864}$&$26$\\ norman&$\frac{x^{2} {\mathrm e}+\left(\frac{{\mathrm e}^{2} {\mathrm e}^{5}}{192}+192\right) x}{x \,{\mathrm e}+192}$&$29$\\ meijerg&$\frac{x}{1+\frac{x \,{\mathrm e}}{192}}+\frac{x \,{\mathrm e}^{7}}{192 x \,{\mathrm e}+36864}+192 \,{\mathrm e}^{-1} \left(\frac{x \,{\mathrm e} \left(\frac{x \,{\mathrm e}}{64}+6\right)}{576+3 x \,{\mathrm e}}-2 \ln \left(1+\frac{x \,{\mathrm e}}{192}\right)\right)+384 \,{\mathrm e}^{-1} \left(-\frac{x \,{\mathrm e}}{192 \left(1+\frac{x \,{\mathrm e}}{192}\right)}+\ln \left(1+\frac{x \,{\mathrm e}}{192}\right)\right)$&$90$\\ \hline \end{longtable}"," ",0,"x-exp(6)/(x*exp(1)+192)","A"
6259,1,103,29,0.139000," ","int(((-81*x^2*exp(2)*exp(x)+1215*exp(2))*ln(x)^8+(108*x^3*exp(2)*exp(x)-1620*exp(2)*x)*ln(x)^6+(-54*x^4*exp(2)*exp(x)+729*x^2*exp(2))*ln(x)^4+324*x^2*exp(2)*ln(x)^3+(12*x^5*exp(2)*exp(x)-180*x^3*exp(2))*ln(x)^2-108*x^3*exp(2)*ln(x)-x^6*exp(2)*exp(x)+24*x^4*exp(2))/((81*exp(x)^2*x^2+(810*x^2+2430*x)*exp(x)+2025*x^2+12150*x+18225)*ln(x)^8+(-108*exp(x)^2*x^3+(-1080*x^3-3240*x^2)*exp(x)-2700*x^3-16200*x^2-24300*x)*ln(x)^6+(54*exp(x)^2*x^4+(540*x^4+1782*x^3)*exp(x)+1350*x^4+8910*x^3+14580*x^2)*ln(x)^4+(-12*x^5*exp(x)^2+(-120*x^5-468*x^4)*exp(x)-300*x^5-2340*x^4-4320*x^3)*ln(x)^2+x^6*exp(x)^2+(10*x^6+48*x^5)*exp(x)+25*x^6+240*x^5+576*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2} x}{{\mathrm e}^{x} x +5 x +15}-\frac{9 x^{3} {\mathrm e}^{2}}{\left({\mathrm e}^{x} x +5 x +15\right) \left(9 x \ln \left(x \right)^{4} {\mathrm e}^{x}+45 x \ln \left(x \right)^{4}-6 x^{2} {\mathrm e}^{x} \ln \left(x \right)^{2}+135 \ln \left(x \right)^{4}-30 x^{2} \ln \left(x \right)^{2}+{\mathrm e}^{x} x^{3}-90 x \ln \left(x \right)^{2}+5 x^{3}+24 x^{2}\right)}$&$103$\\ \hline \end{longtable}"," ",0,"exp(2)*x/(exp(x)*x+5*x+15)-9*x^3*exp(2)/(exp(x)*x+5*x+15)/(9*x*ln(x)^4*exp(x)+45*x*ln(x)^4-6*x^2*exp(x)*ln(x)^2+135*ln(x)^4-30*x^2*ln(x)^2+exp(x)*x^3-90*x*ln(x)^2+5*x^3+24*x^2)","B"
6260,1,21,20,0.047000," ","int(((2*x-2)*ln(ln(x)-x)+((-x^2-x)*exp(x)+1)*ln(x)+(x^3+x^2)*exp(x)-x)*exp(-ln(ln(x)-x)^2+ln(x)-exp(x)*x)/(x*ln(x)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-\ln \left(\ln \left(x \right)-x \right)^{2}-{\mathrm e}^{x} x}$&$21$\\ \hline \end{longtable}"," ",0,"x*exp(-ln(ln(x)-x)^2-exp(x)*x)","A"
6261,1,498,25,106.027000," ","int((((x^2-12)*ln(x)-x^2+7*x-12)*ln(3*x^2)^4+(-9*ln(x)+3*x-9)*ln(3*x^2)^2+(12*x-36)*ln(x)*ln(3*x^2))/((x^4-14*x^3+73*x^2-168*x+144)*ln(3*x^2)^4+(-6*x^3+60*x^2-198*x+216)*ln(3*x^2)^2+9*x^2-54*x+81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \ln \left(x \right)}{x^{2}-7 x +12}-\frac{12 x \ln \left(x \right)}{\left(x^{2}-7 x +12\right) \left(-12+16 x \ln \left(3\right) \ln \left(x \right)-16 \ln \left(3\right)^{2}-64 \ln \left(x \right)^{2}+4 x \ln \left(3\right)^{2}-64 \ln \left(3\right) \ln \left(x \right)+16 x \ln \left(x \right)^{2}+4 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}-32 i \ln \left(3\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-4 i x \ln \left(3\right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-8 i x \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 \pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-16 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-16 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-\pi^{2} x \mathrm{csgn}\left(i x^{2}\right)^{6}-64 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+16 i \ln \left(3\right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi^{2} x \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}+4 \pi^{2} x \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-6 \pi^{2} x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+4 \pi^{2} x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}+24 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}-8 i x \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+16 i x \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-4 i x \ln \left(3\right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+8 i x \ln \left(3\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+16 i \ln \left(3\right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+32 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+32 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)\right)}$&$498$\\ \hline \end{longtable}"," ",0,"-x/(x^2-7*x+12)*ln(x)-12*x/(x^2-7*x+12)*ln(x)/(-12+16*x*ln(3)*ln(x)+4*Pi^2*csgn(I*x)^4*csgn(I*x^2)^2-16*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3+24*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4-16*Pi^2*csgn(I*x)*csgn(I*x^2)^5-16*ln(3)^2-64*ln(x)^2+4*x*ln(3)^2-64*ln(3)*ln(x)+16*x*ln(x)^2+4*Pi^2*csgn(I*x^2)^6-Pi^2*x*csgn(I*x^2)^6-8*I*x*ln(x)*Pi*csgn(I*x)^2*csgn(I*x^2)+16*I*x*ln(x)*Pi*csgn(I*x)*csgn(I*x^2)^2-4*I*x*ln(3)*Pi*csgn(I*x)^2*csgn(I*x^2)+8*I*x*ln(3)*Pi*csgn(I*x)*csgn(I*x^2)^2+16*I*ln(3)*Pi*csgn(I*x)^2*csgn(I*x^2)-32*I*ln(3)*Pi*csgn(I*x)*csgn(I*x^2)^2-4*I*x*ln(3)*Pi*csgn(I*x^2)^3-64*I*ln(x)*Pi*csgn(I*x)*csgn(I*x^2)^2+16*I*ln(3)*Pi*csgn(I*x^2)^3+32*I*ln(x)*Pi*csgn(I*x^2)^3-Pi^2*x*csgn(I*x)^4*csgn(I*x^2)^2+4*Pi^2*x*csgn(I*x)^3*csgn(I*x^2)^3-6*Pi^2*x*csgn(I*x)^2*csgn(I*x^2)^4+4*Pi^2*x*csgn(I*x)*csgn(I*x^2)^5+32*I*ln(x)*Pi*csgn(I*x)^2*csgn(I*x^2)-8*I*x*ln(x)*Pi*csgn(I*x^2)^3)","C"
6262,1,69,30,0.080000," ","int(((2*x*exp(1)^2*exp(x)^2-x)*ln(x)+(-x-1)*exp(1)^4*exp(x)^4+(6*x^2+8*x+7)*exp(1)^2*exp(x)^2-x^3-9*x^2-15*x-12)/(x*exp(1)^4*exp(x)^4+(-2*x^2-8*x)*exp(1)^2*exp(x)^2+x^3+8*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right)}{{\mathrm e}^{2 x +2}-x -4}-\frac{\ln \left(x \right) {\mathrm e}^{2 x +2}+x \,{\mathrm e}^{2 x +2}-x \ln \left(x \right)-x^{2}-4 \ln \left(x \right)-2 x}{{\mathrm e}^{2 x +2}-x -4}$&$69$\\ \hline \end{longtable}"," ",0,"-1/(exp(2*x+2)-x-4)*ln(x)-(ln(x)*exp(2*x+2)+x*exp(2*x+2)-x*ln(x)-x^2-4*ln(x)-2*x)/(exp(2*x+2)-x-4)","B"
6263,1,17,19,0.507000," ","int(((-30*x^2+295*x-750)*exp(-1/(6*x-30))-30*x^2+300*x-750)/((30*x^3-300*x^2+750*x)*exp(-1/(6*x-30))+30*x^3-294*x^2+690*x+150)/ln(5/(5*x*exp(-1/(6*x-30))+1+5*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\frac{1}{5}+x \left({\mathrm e}^{-\frac{1}{6 \left(x -5\right)}}+1\right)\right)\right)$&$17$\\ norman&$\ln \left(\ln \left(\frac{5}{5 x \,{\mathrm e}^{-\frac{1}{6 x -30}}+1+5 x}\right)\right)$&$25$\\ default&$\ln \left(-\ln \left(\frac{5}{5 x \,{\mathrm e}^{-\frac{1}{6 x -30}}+1+5 x}\right)\right)$&$27$\\ \hline \end{longtable}"," ",0,"ln(ln(1/5+x*(exp(-1/6/(x-5))+1)))","A"
6264,1,25,29,0.368000," ","int(((2*x^2-8*x)*ln(1/(x^2-4*x))+(x-4)*ln(2)-2*x^2+3*x+4)*exp(x^2*ln(1/(x^2-4*x))+x*ln(2)-x-1)/(4*x-16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(\frac{1}{x^{2}-4 x}\right)^{x^{2}} 2^{x} {\mathrm e}^{-x -1}}{4}$&$25$\\ default&$\frac{{\mathrm e}^{x^{2} \ln \left(\frac{1}{x^{2}-4 x}\right)+x \ln \left(2\right)-x -1}}{4}$&$27$\\ norman&$\frac{{\mathrm e}^{x^{2} \ln \left(\frac{1}{x^{2}-4 x}\right)+x \ln \left(2\right)-x -1}}{4}$&$27$\\ \hline \end{longtable}"," ",0,"1/4*(1/(x^2-4*x))^(x^2)*2^x*exp(-x-1)","A"
6265,1,22,17,0.130000," ","int(((ln(x)+1)*ln(ln(x)+1)+ln(x*exp(5))+((x^2+x)*exp(x)+x)*ln(x)+(x^2+x)*exp(x)+x)/(x*ln(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)+1\right) \ln \left(x \right)+{\mathrm e}^{x} x +x +5 \ln \left(\ln \left(x \right)+1\right)$&$22$\\ default&$\left(\ln \left(x \right)+1\right) \ln \left(\ln \left(x \right)+1\right)-1+x +4 \ln \left(\ln \left(x \right)+1\right)+{\mathrm e}^{x} x$&$25$\\ \hline \end{longtable}"," ",0,"ln(ln(x)+1)*ln(x)+exp(x)*x+x+5*ln(ln(x)+1)","A"
6266,1,114,31,0.116000," ","int(((((2-x)*exp(x+1)^2+(2*x-2)*exp(x+1))*exp(1/4*x^2)+(-2*x+10)*exp(x+1)^2+(-2*x^2+10*x-8)*exp(x+1))*ln(-exp(1/4*x^2)+x-4)+((x^2-4)*exp(x+1)^2+(-3*x^2+4)*exp(x+1)+2*x^2-2*x)*exp(1/4*x^2)+(2*x^2-6*x-20)*exp(x+1)^2+(2*x^3-8*x^2-2*x+16)*exp(x+1)-2*x^3+10*x^2-8*x)/(exp(x+1)^2*exp(1/4*x^2)+(-x+4)*exp(x+1)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(-{\mathrm e}^{\frac{x^{2}}{4}}+x -4\right)^{2}+2 x \left({\mathrm e}^{x +1}-1\right) {\mathrm e}^{-x -1} \ln \left(-{\mathrm e}^{\frac{x^{2}}{4}}+x -4\right)+\left(-x^{2} {\mathrm e}^{2 x +2}+4 \ln \left({\mathrm e}^{\frac{x^{2}}{4}}-x +4\right) {\mathrm e}^{2 x +2}+2 x^{2} {\mathrm e}^{x +1}-4 x \,{\mathrm e}^{2 x +2}-x^{2}+4 x \,{\mathrm e}^{x +1}\right) {\mathrm e}^{-2 x -2}$&$114$\\ \hline \end{longtable}"," ",0,"-ln(-exp(1/4*x^2)+x-4)^2+2*x*(exp(x+1)-1)*exp(-x-1)*ln(-exp(1/4*x^2)+x-4)+(-x^2*exp(2*x+2)+4*ln(exp(1/4*x^2)-x+4)*exp(2*x+2)+2*x^2*exp(x+1)-4*x*exp(2*x+2)-x^2+4*x*exp(x+1))*exp(-2*x-2)","B"
6267,1,25,18,0.245000," ","int(((exp(exp(x))*exp(((x+1)*exp(exp(x))+x)/exp(exp(x)))+x*exp(exp(x)))*ln(exp(((x+1)*exp(exp(x))+x)/exp(exp(x)))+x)+(-x*exp(exp(x))+exp(x)*x^2-x)*exp(((x+1)*exp(exp(x))+x)/exp(exp(x)))-x*exp(exp(x)))/(exp(exp(x))*exp(((x+1)*exp(exp(x))+x)/exp(exp(x)))+x*exp(exp(x)))/ln(exp(((x+1)*exp(exp(x))+x)/exp(exp(x)))+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{\ln \left({\mathrm e}^{\left(x \,{\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{{\mathrm e}^{x}}+x \right) {\mathrm e}^{-{\mathrm e}^{x}}}+x \right)}$&$25$\\ \hline \end{longtable}"," ",0,"x/ln(exp((x*exp(exp(x))+exp(exp(x))+x)*exp(-exp(x)))+x)","A"
6268,1,22,24,0.103000," ","int((((3*x^3+24*x^2)*exp(5)-2*x^2-16*x)*ln(x+8)+(-12*x^3-96*x^2)*exp(5)+8*x^2+64*x-1)/((x+8)*ln(x+8)-4*x-32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{3} {\mathrm e}^{5}-x^{2}-\ln \left(\ln \left(x +8\right)-4\right)$&$22$\\ risch&$x^{3} {\mathrm e}^{5}-x^{2}-\ln \left(\ln \left(x +8\right)-4\right)$&$22$\\ \hline \end{longtable}"," ",0,"x^3*exp(5)-x^2-ln(ln(x+8)-4)","A"
6269,1,17,16,0.082000," ","int((8*x*ln(2*x)+32*x^2+4*x)/(512*x^3+192*x^2+24*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 x^{2} \ln \left(2 x \right)}{\left(8 x +1\right)^{2}}$&$17$\\ risch&$-\frac{\left(16 x +1\right) \ln \left(2 x \right)}{16 \left(64 x^{2}+16 x +1\right)}+\frac{\ln \left(x \right)}{16}$&$29$\\ derivativedivides&$\frac{\ln \left(2 x \right) x}{8 x +1}-\frac{\ln \left(2 x \right) x \left(4 x +1\right)}{\left(8 x +1\right)^{2}}$&$34$\\ default&$\frac{\ln \left(2 x \right) x}{8 x +1}-\frac{\ln \left(2 x \right) x \left(4 x +1\right)}{\left(8 x +1\right)^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"4*x^2*ln(2*x)/(8*x+1)^2","A"
6270,1,27,25,0.060000," ","int(1/2*(((-2*x^2-x)*exp(5)+2)*exp(x)^2+(-2*x^4+3*x^3)*exp(5))/x/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2} {\mathrm e}^{5}}{2}-\frac{x \,{\mathrm e}^{5}}{2}+\ln \left(x \right)+\frac{x^{3} {\mathrm e}^{-2 x +5}}{2}$&$27$\\ norman&$\left(\frac{x^{3} {\mathrm e}^{5}}{2}-\frac{x \,{\mathrm e}^{5} {\mathrm e}^{2 x}}{2}-\frac{{\mathrm e}^{5} {\mathrm e}^{2 x} x^{2}}{2}\right) {\mathrm e}^{-2 x}+\ln \left(x \right)$&$37$\\ default&$\ln \left(x \right)-\frac{x^{2} {\mathrm e}^{5}}{2}+\frac{3 \,{\mathrm e}^{5} \left(-\frac{x^{2} {\mathrm e}^{-2 x}}{2}-\frac{x \,{\mathrm e}^{-2 x}}{2}-\frac{{\mathrm e}^{-2 x}}{4}\right)}{2}-{\mathrm e}^{5} \left(-\frac{x^{3} {\mathrm e}^{-2 x}}{2}-\frac{3 x^{2} {\mathrm e}^{-2 x}}{4}-\frac{3 x \,{\mathrm e}^{-2 x}}{4}-\frac{3 \,{\mathrm e}^{-2 x}}{8}\right)-\frac{x \,{\mathrm e}^{5}}{2}$&$79$\\ \hline \end{longtable}"," ",0,"-1/2*x^2*exp(5)-1/2*x*exp(5)+ln(x)+1/2*x^3*exp(-2*x+5)","A"
6271,1,12,14,0.036000," ","int((2*ln(x)-2*x^2+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)^{2}-x^{2}+x$&$12$\\ norman&$\ln \left(x \right)^{2}-x^{2}+x$&$12$\\ risch&$\ln \left(x \right)^{2}-x^{2}+x$&$12$\\ \hline \end{longtable}"," ",0,"ln(x)^2-x^2+x","A"
6272,1,18,18,0.139000," ","int(1/2*(8*x^2*exp(3-4*x)-x^2-6)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{2}+\frac{3}{x}-{\mathrm e}^{3-4 x}$&$18$\\ derivativedivides&$\frac{3}{x}+\frac{3}{8}-\frac{x}{2}-{\mathrm e}^{3-4 x}$&$19$\\ default&$\frac{3}{x}+\frac{3}{8}-\frac{x}{2}-{\mathrm e}^{3-4 x}$&$19$\\ norman&$\frac{3-\frac{x^{2}}{2}-x \,{\mathrm e}^{3-4 x}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"-1/2*x+3/x-exp(3-4*x)","A"
6273,1,68,33,0.056000," ","int((200*x^6*ln(x)^4+(-3200*x^7+2400*x^6)*ln(x)^3+(19200*x^8-28800*x^7+10800*x^6-8320*x^5+17280*x^4-8280*x^3)*ln(x)^2+(-51200*x^9+115200*x^8-86400*x^7+113760*x^6-232960*x^5+193920*x^4-53280*x^3)*ln(x)+51200*x^10-153600*x^9+172800*x^8-321920*x^7+748360*x^6-852480*x^5+473408*x^4-183624*x^3+110592*x^2-55296*x+10368)/(25*x^7*ln(x)^4+(-400*x^8+300*x^7)*ln(x)^3+(2400*x^9-3600*x^8+1350*x^7-640*x^6+960*x^5-360*x^4)*ln(x)^2+(-6400*x^10+14400*x^9-10800*x^8+7820*x^7-11520*x^6+8640*x^5-2160*x^4)*ln(x)+6400*x^11-19200*x^10+21600*x^9-21040*x^8+32745*x^7-34560*x^6+21376*x^5-15528*x^4+13824*x^3-6912*x^2+1296*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$8 \ln \left(x \right)+\frac{640 x^{2}-960 x +360}{5 x^{3} \ln \left(x \right)^{2}-40 x^{4} \ln \left(x \right)+80 x^{5}+30 x^{3} \ln \left(x \right)-120 x^{4}+45 x^{3}-64 x^{2}+96 x -36}$&$68$\\ \hline \end{longtable}"," ",0,"8*ln(x)+40*(16*x^2-24*x+9)/(5*x^3*ln(x)^2-40*x^4*ln(x)+80*x^5+30*x^3*ln(x)-120*x^4+45*x^3-64*x^2+96*x-36)","B"
6274,1,163,26,0.141000," ","int((((-100*x+250)*ln(x)+40*x^2-2605*x+6250)*ln(x^3)-1875*ln(x)^4+(3000*x-187500)*ln(x)^3+(-1800*x^2+225150*x-7031625)*ln(x)^2+(480*x^3-90120*x^2+5632800*x-117206250)*ln(x)-48*x^4+12024*x^3-1128063*x^2+46976265*x-732656250)/(625*x*ln(x)^4+(-1000*x^2+62500*x)*ln(x)^3+(600*x^3-75050*x^2+2343750*x)*ln(x)^2+(-160*x^4+30040*x^3-1877500*x^2+39062500*x)*ln(x)+16*x^5-4008*x^4+376001*x^3-15656250*x^2+244140625*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 \ln \left(x \right)-\frac{5 \left(6 \ln \left(x \right)-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}\right)}{2 \left(25 \ln \left(x \right)^{2}-20 x \ln \left(x \right)+4 x^{2}+1250 \ln \left(x \right)-501 x +15625\right)}$&$163$\\ \hline \end{longtable}"," ",0,"-3*ln(x)-5/2*(6*ln(x)-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+I*Pi*csgn(I*x)*csgn(I*x^3)^2-I*Pi*csgn(I*x^2)^3+I*Pi*csgn(I*x^2)*csgn(I*x^3)^2-I*Pi*csgn(I*x^3)^3)/(25*ln(x)^2-20*x*ln(x)+4*x^2+1250*ln(x)-501*x+15625)","C"
6275,1,13,16,0.428000," ","int((-ln(ln(3))-3-ln(x))/(ln(ln(3))^2+(2*ln(x)+8)*ln(ln(3))+ln(x)^2+8*ln(x)+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{\ln \left(x \right)+\ln \left(\ln \left(3\right)\right)+4}$&$13$\\ norman&$-\frac{x}{\ln \left(x \right)+\ln \left(\ln \left(3\right)\right)+4}$&$13$\\ risch&$-\frac{x}{\ln \left(x \right)+\ln \left(\ln \left(3\right)\right)+4}$&$13$\\ \hline \end{longtable}"," ",0,"-x/(ln(x)+ln(ln(3))+4)","A"
6276,1,22,22,0.046000," ","int(((x+1)*ln(x)^2+((2*x+2)*exp(x)^2+2*x^3-2*x)*ln(x)+(x+1)*exp(x)^4+(2*x^3+6*x)*exp(x)^2+x^5-x^4-x^3+9*x^2-4*x+4)/(x*ln(x)^2+(2*x*exp(x)^2+2*x^3-2*x^2)*ln(x)+x*exp(x)^4+(2*x^3-2*x^2)*exp(x)^2+x^5-2*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x \right)-\frac{4}{x^{2}+{\mathrm e}^{2 x}+\ln \left(x \right)-x}$&$22$\\ \hline \end{longtable}"," ",0,"x+ln(x)-4/(x^2+exp(2*x)+ln(x)-x)","A"
6277,1,17,17,0.177000," ","int(-9*exp(16/exp(1)^2)/(x*ln(x)^2+18*x*exp(4)*ln(x)+81*x*exp(4)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 \,{\mathrm e}^{16 \,{\mathrm e}^{-2}}}{\ln \left(x \right)+9 \,{\mathrm e}^{4}}$&$17$\\ norman&$\frac{9 \,{\mathrm e}^{16 \,{\mathrm e}^{-2}}}{\ln \left(x \right)+9 \,{\mathrm e}^{4}}$&$19$\\ \hline \end{longtable}"," ",0,"9*exp(16*exp(-2))/(ln(x)+9*exp(4))","A"
6278,1,25,26,0.095000," ","int((14*x*exp(1)^4+(-756*x^5+3*x^2-4)*exp(1)^2+10206*x^9+27*x^6-324*x^4)/(exp(1)^4-54*x^4*exp(1)^2+729*x^8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$7 x^{2}+\frac{x^{3}-4 x}{-27 x^{4}+{\mathrm e}^{2}}$&$25$\\ gosper&$\frac{x \left(-189 x^{5}+7 \,{\mathrm e}^{2} x +x^{2}-4\right)}{-27 x^{4}+{\mathrm e}^{2}}$&$32$\\ norman&$\frac{-189 x^{6}+x^{3}+7 x^{2} {\mathrm e}^{2}-4 x}{-27 x^{4}+{\mathrm e}^{2}}$&$35$\\ \hline \end{longtable}"," ",0,"7*x^2+(x^3-4*x)/(-27*x^4+exp(2))","A"
6279,1,16,9,0.026000," ","int((x^2+2*x)*exp(x)+3*x^2-58*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x} x^{2}-29 x^{2}+x^{3}$&$16$\\ norman&${\mathrm e}^{x} x^{2}-29 x^{2}+x^{3}$&$16$\\ risch&${\mathrm e}^{x} x^{2}-29 x^{2}+x^{3}$&$16$\\ \hline \end{longtable}"," ",0,"exp(x)*x^2-29*x^2+x^3","A"
6280,1,83,18,0.053000," ","int(-48*x^2*ln(3)^4+8*(-16*x^3+24*x^2)*ln(3)^3+4*(-30*x^4+96*x^3-72*x^2)*ln(3)^2+2*(-24*x^5+120*x^4-192*x^3+96*x^2)*ln(3)-7*x^6+48*x^5-120*x^4+128*x^3-48*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-8 \ln \left(3\right)+8\right) x^{6}+\left(-24 \ln \left(3\right)^{2}+48 \ln \left(3\right)-24\right) x^{5}+\left(-32 \ln \left(3\right)^{3}+96 \ln \left(3\right)^{2}-96 \ln \left(3\right)+32\right) x^{4}+\left(-16 \ln \left(3\right)^{4}+64 \ln \left(3\right)^{3}-96 \ln \left(3\right)^{2}+64 \ln \left(3\right)-16\right) x^{3}-x^{7}$&$83$\\ gosper&$-x^{3} \left(16 \ln \left(3\right)^{4}+32 x \ln \left(3\right)^{3}+24 x^{2} \ln \left(3\right)^{2}+8 x^{3} \ln \left(3\right)+x^{4}-64 \ln \left(3\right)^{3}-96 x \ln \left(3\right)^{2}-48 x^{2} \ln \left(3\right)-8 x^{3}+96 \ln \left(3\right)^{2}+96 x \ln \left(3\right)+24 x^{2}-64 \ln \left(3\right)-32 x +16\right)$&$88$\\ default&$-16 \ln \left(3\right)^{4} x^{3}+8 \ln \left(3\right)^{3} \left(-4 x^{4}+8 x^{3}\right)+4 \ln \left(3\right)^{2} \left(-6 x^{5}+24 x^{4}-24 x^{3}\right)+2 \ln \left(3\right) \left(-4 x^{6}+24 x^{5}-48 x^{4}+32 x^{3}\right)-x^{7}+8 x^{6}-24 x^{5}+32 x^{4}-16 x^{3}$&$100$\\ risch&$-16 \ln \left(3\right)^{4} x^{3}-32 x^{4} \ln \left(3\right)^{3}+64 x^{3} \ln \left(3\right)^{3}-24 x^{5} \ln \left(3\right)^{2}+96 x^{4} \ln \left(3\right)^{2}-96 x^{3} \ln \left(3\right)^{2}-8 x^{6} \ln \left(3\right)+48 x^{5} \ln \left(3\right)-96 x^{4} \ln \left(3\right)+64 x^{3} \ln \left(3\right)-x^{7}+8 x^{6}-24 x^{5}+32 x^{4}-16 x^{3}$&$109$\\ \hline \end{longtable}"," ",0,"(-8*ln(3)+8)*x^6+(-24*ln(3)^2+48*ln(3)-24)*x^5+(-32*ln(3)^3+96*ln(3)^2-96*ln(3)+32)*x^4+(-16*ln(3)^4+64*ln(3)^3-96*ln(3)^2+64*ln(3)-16)*x^3-x^7","B"
6281,1,36,21,0.201000," ","int(((-5*x^2-54*x-145)*ln((5*x+29)/(5+x))^2-8*x*ln((5*x+29)/(5+x))+5*x^4+54*x^3+137*x^2)/(10*x^4+108*x^3+290*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\frac{5 x +29}{5+x}\right)^{2}}{2 x}+\frac{x}{2}+\ln \left(5 x +29\right)-\ln \left(5+x \right)$&$36$\\ norman&$\frac{x \ln \left(\frac{5 x +29}{5+x}\right)+\frac{x^{2}}{2}+\frac{\ln \left(\frac{5 x +29}{5+x}\right)^{2}}{2}}{x}$&$41$\\ \hline \end{longtable}"," ",0,"1/2/x*ln((5*x+29)/(5+x))^2+1/2*x+ln(5*x+29)-ln(5+x)","A"
6282,1,30,26,0.360000," ","int((((10*x^3-30*x^2+5*x-15)*exp(x^2)+(10*x^2-30*x)*ln(3)+25*x-75)*ln(x-3)^3+(-15*x^3+45*x^2)*ln(x-3)+10*x^3)/(x-3)/ln(x-3)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x^{2} \ln \left(3\right)+5 \,{\mathrm e}^{x^{2}} x +25 x -\frac{5 x^{3}}{\ln \left(x -3\right)^{2}}$&$30$\\ default&$25 x +5 \,{\mathrm e}^{x^{2}} x +5 x^{2} \ln \left(3\right)-\frac{5 \left(x -3\right)^{3}}{\ln \left(x -3\right)^{2}}-\frac{45 \left(x -3\right)^{2}}{\ln \left(x -3\right)^{2}}-\frac{135 \left(x -3\right)}{\ln \left(x -3\right)^{2}}-\frac{135}{\ln \left(x -3\right)^{2}}$&$64$\\ \hline \end{longtable}"," ",0,"5*x^2*ln(3)+5*exp(x^2)*x+25*x-5*x^3/ln(x-3)^2","A"
6283,1,25,26,0.406000," ","int((-10*ln(2)-5*x^2+15*x-20)/((2*ln(2)+x^2-x+3)*ln(-2*ln(2)-x^2+x-3)^2+(2*(2*ln(3)-2*x+8)*ln(2)+(2*x^2-2*x+6)*ln(3)-2*x^3+10*x^2-14*x+24)*ln(-2*ln(2)-x^2+x-3)+2*(ln(3)^2+(-2*x+8)*ln(3)+x^2-8*x+16)*ln(2)+(x^2-x+3)*ln(3)^2+(-2*x^3+10*x^2-14*x+24)*ln(3)+x^4-9*x^3+27*x^2-40*x+48),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{5}{\ln \left(-2 \ln \left(2\right)-x^{2}+x -3\right)+\ln \left(3\right)-x +4}$&$25$\\ risch&$-\frac{5}{\ln \left(-2 \ln \left(2\right)-x^{2}+x -3\right)+\ln \left(3\right)-x +4}$&$25$\\ \hline \end{longtable}"," ",0,"-5/(ln(-2*ln(2)-x^2+x-3)+ln(3)-x+4)","A"
6284,1,22,34,0.545000," ","int(((x*ln(2)^2+8*x*ln(2)+16*x)*exp(exp(1))-3*x*ln(2)^2-24*x*ln(2)-48*x-9)*exp(9/((x*ln(2)^2+8*x*ln(2)+16*x)*exp(exp(1))-3*x*ln(2)^2-24*x*ln(2)-48*x))/((x*ln(2)^2+8*x*ln(2)+16*x)*exp(exp(1))-3*x*ln(2)^2-24*x*ln(2)-48*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{\frac{9}{x \left(4+\ln \left(2\right)\right)^{2} \left({\mathrm e}^{{\mathrm e}}-3\right)}}$&$22$\\ gosper&$x \,{\mathrm e}^{\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}}$&$43$\\ norman&$x \,{\mathrm e}^{\frac{9}{\left(x \ln \left(2\right)^{2}+8 x \ln \left(2\right)+16 x \right) {\mathrm e}^{{\mathrm e}}-3 x \ln \left(2\right)^{2}-24 x \ln \left(2\right)-48 x}}$&$43$\\ derivativedivides&$-\frac{9 \left(\expIntegralEi \left(1, -\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}\right)+\frac{16 x \,{\mathrm e}^{\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}}}{3}+\frac{48 \expIntegralEi \left(1, -\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}\right)}{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48}+\frac{8 \ln \left(2\right) {\mathrm e}^{\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}} x}{3}+\frac{24 \ln \left(2\right) \expIntegralEi \left(1, -\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}\right)}{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48}+\frac{\ln \left(2\right)^{2} {\mathrm e}^{\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}} x}{3}+\frac{3 \ln \left(2\right)^{2} \expIntegralEi \left(1, -\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}\right)}{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48}-\frac{16 \,{\mathrm e}^{{\mathrm e}} {\mathrm e}^{\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}} x}{9}-\frac{16 \,{\mathrm e}^{{\mathrm e}} \expIntegralEi \left(1, -\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}\right)}{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48}-\frac{8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right) {\mathrm e}^{\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}} x}{9}-\frac{8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right) \expIntegralEi \left(1, -\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}\right)}{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48}-\frac{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2} {\mathrm e}^{\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}} x}{9}-\frac{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2} \expIntegralEi \left(1, -\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}\right)}{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48}\right)}{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48}$&$841$\\ default&$-\frac{9 \left(\expIntegralEi \left(1, -\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}\right)+\frac{16 x \,{\mathrm e}^{\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}}}{3}+\frac{48 \expIntegralEi \left(1, -\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}\right)}{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48}+\frac{8 \ln \left(2\right) {\mathrm e}^{\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}} x}{3}+\frac{24 \ln \left(2\right) \expIntegralEi \left(1, -\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}\right)}{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48}+\frac{\ln \left(2\right)^{2} {\mathrm e}^{\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}} x}{3}+\frac{3 \ln \left(2\right)^{2} \expIntegralEi \left(1, -\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}\right)}{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48}-\frac{16 \,{\mathrm e}^{{\mathrm e}} {\mathrm e}^{\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}} x}{9}-\frac{16 \,{\mathrm e}^{{\mathrm e}} \expIntegralEi \left(1, -\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}\right)}{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48}-\frac{8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right) {\mathrm e}^{\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}} x}{9}-\frac{8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right) \expIntegralEi \left(1, -\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}\right)}{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48}-\frac{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2} {\mathrm e}^{\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}} x}{9}-\frac{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2} \expIntegralEi \left(1, -\frac{9}{x \left({\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48\right)}\right)}{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48}\right)}{{\mathrm e}^{{\mathrm e}} \ln \left(2\right)^{2}+8 \,{\mathrm e}^{{\mathrm e}} \ln \left(2\right)-3 \ln \left(2\right)^{2}+16 \,{\mathrm e}^{{\mathrm e}}-24 \ln \left(2\right)-48}$&$841$\\ \hline \end{longtable}"," ",0,"x*exp(9/x/(4+ln(2))^2/(exp(exp(1))-3))","A"
6285,1,15,15,0.022000," ","int(-2*x*ln(x)-13*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -6 x^{2}-x^{2} \ln \left(x \right)$&$15$\\ norman&$x -6 x^{2}-x^{2} \ln \left(x \right)$&$15$\\ risch&$x -6 x^{2}-x^{2} \ln \left(x \right)$&$15$\\ \hline \end{longtable}"," ",0,"x-6*x^2-x^2*ln(x)","A"
6286,1,25,19,0.408000," ","int(((24*x^2-153*x+54)*ln(-x+6)-75*x^2+460*x-162)/(x^11-6*x^10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-3+9 x -3 \ln \left(-x +6\right) x +\ln \left(-x +6\right)}{x^{9}}$&$25$\\ risch&$-\frac{\left(3 x -1\right) \ln \left(-x +6\right)}{x^{9}}+\frac{9 x -3}{x^{9}}$&$28$\\ derivativedivides&$-\frac{17 \ln \left(-x +6\right)}{10077696}-\frac{3}{x^{9}}+\frac{9}{x^{8}}+\frac{\ln \left(-x +6\right) \left(-x +6\right) \left(\left(-x +6\right)^{8}-54 \left(-x +6\right)^{7}+1296 \left(-x +6\right)^{6}-18144 \left(-x +6\right)^{5}+163296 \left(-x +6\right)^{4}-979776 \left(-x +6\right)^{3}+3919104 \left(-x +6\right)^{2}+10077696 x -45349632\right)}{10077696 x^{9}}+\frac{\ln \left(-x +6\right) \left(-x +6\right) \left(\left(-x +6\right)^{7}-48 \left(-x +6\right)^{6}+1008 \left(-x +6\right)^{5}-12096 \left(-x +6\right)^{4}+90720 \left(-x +6\right)^{3}-435456 \left(-x +6\right)^{2}-1306368 x +5598720\right)}{559872 x^{8}}$&$175$\\ default&$-\frac{17 \ln \left(-x +6\right)}{10077696}-\frac{3}{x^{9}}+\frac{9}{x^{8}}+\frac{\ln \left(-x +6\right) \left(-x +6\right) \left(\left(-x +6\right)^{8}-54 \left(-x +6\right)^{7}+1296 \left(-x +6\right)^{6}-18144 \left(-x +6\right)^{5}+163296 \left(-x +6\right)^{4}-979776 \left(-x +6\right)^{3}+3919104 \left(-x +6\right)^{2}+10077696 x -45349632\right)}{10077696 x^{9}}+\frac{\ln \left(-x +6\right) \left(-x +6\right) \left(\left(-x +6\right)^{7}-48 \left(-x +6\right)^{6}+1008 \left(-x +6\right)^{5}-12096 \left(-x +6\right)^{4}+90720 \left(-x +6\right)^{3}-435456 \left(-x +6\right)^{2}-1306368 x +5598720\right)}{559872 x^{8}}$&$175$\\ \hline \end{longtable}"," ",0,"(-3+9*x-3*ln(-x+6)*x+ln(-x+6))/x^9","A"
6287,1,20,20,0.091000," ","int(1/3*((-4*exp(x)*x-12*x)*ln(x)+(-4*x*ln(5)-4*x)*exp(x)+12)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(x \right) {\mathrm e}^{-x}-\frac{4 x \ln \left(5\right)}{3}-\frac{4 x \ln \left(x \right)}{3}$&$20$\\ risch&$-\frac{4 \left({\mathrm e}^{x} x -3\right) {\mathrm e}^{-x} \ln \left(x \right)}{3}-\frac{4 x \ln \left(5\right)}{3}$&$21$\\ norman&$\left(-\frac{4 x \,{\mathrm e}^{x} \ln \left(5\right)}{3}-\frac{4 x \,{\mathrm e}^{x} \ln \left(x \right)}{3}+4 \ln \left(x \right)\right) {\mathrm e}^{-x}$&$25$\\ \hline \end{longtable}"," ",0,"4*ln(x)/exp(x)-4/3*x*ln(5)-4/3*x*ln(x)","A"
6288,1,21,23,0.452000," ","int(((-x^2+2*x)*exp(5)+(3*x-3)*exp(1)+x^2+2*x-4)/(x^2*exp(5)-3*x*exp(1)-x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\ln \left(x \,{\mathrm e}^{5}-3 \,{\mathrm e}-x -4\right)+\ln \left(x \right)$&$21$\\ norman&$-x +\ln \left(x \,{\mathrm e}^{5}-3 \,{\mathrm e}-x -4\right)+\ln \left(x \right)$&$21$\\ risch&$-x +\ln \left(\left({\mathrm e}^{5}-1\right) x^{2}+\left(-3 \,{\mathrm e}-4\right) x \right)$&$23$\\ meijerg&$\frac{\left(3 \,{\mathrm e}+4\right)^{2} \left(1-{\mathrm e}^{5}\right) \left(\frac{x \left({\mathrm e}^{5}-1\right)}{-3 \,{\mathrm e}-4}-\ln \left(1+\frac{x \left({\mathrm e}^{5}-1\right)}{-3 \,{\mathrm e}-4}\right)\right)}{\left({\mathrm e}^{5}-1\right)^{2} \left(-3 \,{\mathrm e}-4\right)}-\frac{\left(2 \,{\mathrm e}^{5}+3 \,{\mathrm e}+2\right) \left(3 \,{\mathrm e}+4\right) \ln \left(1+\frac{x \left({\mathrm e}^{5}-1\right)}{-3 \,{\mathrm e}-4}\right)}{\left(-3 \,{\mathrm e}-4\right) \left({\mathrm e}^{5}-1\right)}+\frac{3 \,{\mathrm e} \left(3 \,{\mathrm e}+4\right) \left(-\ln \left(1+\frac{x \left({\mathrm e}^{5}-1\right)}{-3 \,{\mathrm e}-4}\right)+\ln \left(x \right)+\ln \left({\mathrm e}^{5}-1\right)+\ln \left(-\frac{1}{-3 \,{\mathrm e}-4}\right)+i \pi \right)}{\left(-3 \,{\mathrm e}-4\right)^{2}}+\frac{4 \left(3 \,{\mathrm e}+4\right) \left(-\ln \left(1+\frac{x \left({\mathrm e}^{5}-1\right)}{-3 \,{\mathrm e}-4}\right)+\ln \left(x \right)+\ln \left({\mathrm e}^{5}-1\right)+\ln \left(-\frac{1}{-3 \,{\mathrm e}-4}\right)+i \pi \right)}{\left(-3 \,{\mathrm e}-4\right)^{2}}$&$232$\\ \hline \end{longtable}"," ",0,"-x+ln(x*exp(5)-3*exp(1)-x-4)+ln(x)","A"
6289,1,7,14,0.007000," ","int(-2*x-4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\left(4+x \right) x$&$7$\\ default&$-x^{2}-4 x$&$10$\\ norman&$-x^{2}-4 x$&$10$\\ risch&$-x^{2}-4 x$&$10$\\ \hline \end{longtable}"," ",0,"-(4+x)*x","A"
6290,1,20,20,0.105000," ","int(((3*ln(x)^2-4*x*ln(x)+4*x-3)*ln(ln(x)+1-4/3*x)+(-3*x^2+4*x-3)*ln(x)+4*x^3-3*x^2)/(3*x^2*ln(x)-4*x^3+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right) \ln \left(\ln \left(x \right)+1-\frac{4 x}{3}\right)}{x}-x$&$20$\\ norman&$\frac{-x^{2}-\ln \left(x \right) \ln \left(\ln \left(x \right)+1-\frac{4 x}{3}\right)}{x}$&$23$\\ \hline \end{longtable}"," ",0,"-ln(x)*ln(ln(x)+1-4/3*x)/x-x","A"
6291,1,22,23,0.115000," ","int((((100*x^2-300*x)*ln(x*exp(3))*ln(ln(x*exp(3)))+50*x^2-300*x+450)*exp((x^2-6*x+9)*ln(ln(x*exp(3))))^2-x*ln(x*exp(3)))*exp(25*exp((x^2-6*x+9)*ln(ln(x*exp(3))))^2-x)*exp(exp(25*exp((x^2-6*x+9)*ln(ln(x*exp(3))))^2-x))/x/ln(x*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{25 \ln \left(x \,{\mathrm e}^{3}\right)^{2 \left(x -3\right)^{2}}-x}}$&$22$\\ \hline \end{longtable}"," ",0,"exp(exp(25*(ln(x*exp(3))^((x-3)^2))^2-x))","A"
6292,1,17,23,0.374000," ","int(((-3-x)*ln(3)^2*ln(3+x)^2+1)/(3+x)/ln(3)^2/ln(3+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{1}{\ln \left(3\right)^{2} \ln \left(3+x \right)}$&$17$\\ derivativedivides&$\frac{-\ln \left(3\right)^{2} \left(3+x \right)-\frac{1}{\ln \left(3+x \right)}}{\ln \left(3\right)^{2}}$&$24$\\ default&$\frac{-\ln \left(3\right)^{2} \left(3+x \right)-\frac{1}{\ln \left(3+x \right)}}{\ln \left(3\right)^{2}}$&$24$\\ norman&$\frac{-\frac{1}{\ln \left(3\right)}-x \ln \left(3\right) \ln \left(3+x \right)}{\ln \left(3\right) \ln \left(3+x \right)}$&$28$\\ \hline \end{longtable}"," ",0,"-x-1/ln(3)^2/ln(3+x)","A"
6293,1,333,27,0.315000," ","int(((-x*exp(x)*ln(x)^2-3*x*exp(x)*exp(x^2)*ln(x))*ln((x*ln(x)+3*exp(x^2)*x)/exp(1/exp(1))/ln(x))+(5*x-1)*exp(x)*ln(x)^2+(-6*x^2+15*x-3)*exp(x)*exp(x^2)*ln(x)+3*exp(x)*exp(x^2))/(x*ln(x)^2+3*x*exp(x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x} \ln \left({\mathrm e}^{x^{2}}+\frac{\ln \left(x \right)}{3}\right)+\frac{\left(i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x^{2}}+\frac{\ln \left(x \right)}{3}\right)}{\ln \left(x \right)}\right)^{3} {\mathrm e}+i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x^{2}}+\frac{\ln \left(x \right)}{3}\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x^{2}}+\frac{\ln \left(x \right)}{3}\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) {\mathrm e}-i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x^{2}}+\frac{\ln \left(x \right)}{3}\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{x^{2}}+\frac{\ln \left(x \right)}{3}\right)}{\ln \left(x \right)}\right)^{2} {\mathrm e}+i \pi  \mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{x^{2}}+\frac{\ln \left(x \right)}{3}\right)}{\ln \left(x \right)}\right)^{3} {\mathrm e}-i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x^{2}}+\frac{\ln \left(x \right)}{3}\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x^{2}}+\frac{\ln \left(x \right)}{3}\right)}{\ln \left(x \right)}\right)^{2} {\mathrm e}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x^{2}}+\frac{\ln \left(x \right)}{3}\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{x^{2}}+\frac{\ln \left(x \right)}{3}\right)}{\ln \left(x \right)}\right) {\mathrm e}-i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x^{2}}+\frac{\ln \left(x \right)}{3}\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) {\mathrm e}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{x^{2}}+\frac{\ln \left(x \right)}{3}\right)}{\ln \left(x \right)}\right)^{2} {\mathrm e}+2-2 \ln \left(3\right) {\mathrm e}-2 \,{\mathrm e} \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right) {\mathrm e}+10 \,{\mathrm e}\right) {\mathrm e}^{x -1}}{2}$&$333$\\ \hline \end{longtable}"," ",0,"-exp(x)*ln(exp(x^2)+1/3*ln(x))+1/2*(I*Pi*csgn(I/ln(x)*(exp(x^2)+1/3*ln(x)))^3*exp(1)+I*Pi*csgn(I*(exp(x^2)+1/3*ln(x)))*csgn(I/ln(x)*(exp(x^2)+1/3*ln(x)))*csgn(I/ln(x))*exp(1)-I*Pi*csgn(I/ln(x)*(exp(x^2)+1/3*ln(x)))*csgn(I*x/ln(x)*(exp(x^2)+1/3*ln(x)))^2*exp(1)+I*Pi*csgn(I*x/ln(x)*(exp(x^2)+1/3*ln(x)))^3*exp(1)-I*Pi*csgn(I*(exp(x^2)+1/3*ln(x)))*csgn(I/ln(x)*(exp(x^2)+1/3*ln(x)))^2*exp(1)+I*Pi*csgn(I*x)*csgn(I/ln(x)*(exp(x^2)+1/3*ln(x)))*csgn(I*x/ln(x)*(exp(x^2)+1/3*ln(x)))*exp(1)-I*Pi*csgn(I/ln(x)*(exp(x^2)+1/3*ln(x)))^2*csgn(I/ln(x))*exp(1)-I*Pi*csgn(I*x)*csgn(I*x/ln(x)*(exp(x^2)+1/3*ln(x)))^2*exp(1)+2-2*ln(3)*exp(1)-2*exp(1)*ln(x)+2*ln(ln(x))*exp(1)+10*exp(1))*exp(x-1)","C"
6294,1,18,17,0.053000," ","int(((-20*x^4-5)*exp(x^4)+20*x-10)*exp(-5*x*exp(x^4)+10*x^2-10*x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{5 \left(2 x -2-{\mathrm e}^{x^{4}}\right) x}+x$&$18$\\ default&$x +{\mathrm e}^{-5 x \,{\mathrm e}^{x^{4}}+10 x^{2}-10 x}$&$20$\\ norman&$x +{\mathrm e}^{-5 x \,{\mathrm e}^{x^{4}}+10 x^{2}-10 x}$&$20$\\ \hline \end{longtable}"," ",0,"exp(5*(2*x-2-exp(x^4))*x)+x","A"
6295,1,22,12,0.047000," ","int((-exp(2)+3)*exp(((-exp(2)*x+3*x-20)*exp(67)+1)/exp(67)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{\left(\left(-{\mathrm e}^{2} x +3 x -20\right) {\mathrm e}^{67}+1\right) {\mathrm e}^{-67}}$&$22$\\ default&${\mathrm e}^{\left(\left(-{\mathrm e}^{2} x +3 x -20\right) {\mathrm e}^{67}+1\right) {\mathrm e}^{-67}}$&$22$\\ norman&${\mathrm e}^{\left(\left(-{\mathrm e}^{2} x +3 x -20\right) {\mathrm e}^{67}+1\right) {\mathrm e}^{-67}}$&$22$\\ gosper&${\mathrm e}^{-\left({\mathrm e}^{2} {\mathrm e}^{67} x -3 \,{\mathrm e}^{67} x +20 \,{\mathrm e}^{67}-1\right) {\mathrm e}^{-67}}$&$25$\\ risch&$\frac{{\mathrm e}^{\left(-x \,{\mathrm e}^{69}+3 \,{\mathrm e}^{67} x -20 \,{\mathrm e}^{67}+1\right) {\mathrm e}^{-67}} {\mathrm e}^{2}}{{\mathrm e}^{2}-3}-\frac{3 \,{\mathrm e}^{\left(-x \,{\mathrm e}^{69}+3 \,{\mathrm e}^{67} x -20 \,{\mathrm e}^{67}+1\right) {\mathrm e}^{-67}}}{{\mathrm e}^{2}-3}$&$59$\\ meijerg&$-\frac{{\mathrm e}^{2+{\mathrm e}^{-67} \left(-20 \,{\mathrm e}^{67}+1\right)} \left(1-{\mathrm e}^{-x \left({\mathrm e}^{2}-3\right)}\right)}{{\mathrm e}^{2}-3}+\frac{3 \,{\mathrm e}^{{\mathrm e}^{-67} \left(-20 \,{\mathrm e}^{67}+1\right)} \left(1-{\mathrm e}^{-x \left({\mathrm e}^{2}-3\right)}\right)}{{\mathrm e}^{2}-3}$&$64$\\ \hline \end{longtable}"," ",0,"exp(((-exp(2)*x+3*x-20)*exp(67)+1)/exp(67))","A"
6296,1,26,26,0.152000," ","int(1/8*(((8*x^3+6*x^2-20*x)*ln(3)-4*x+5)*exp(x)+(-8*x+10)*ln(3)+8)/exp(1/2*(-2*x^2*ln(3)+1)*exp(x)+x*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(x -\frac{5}{4}\right) {\mathrm e}^{-\frac{\left(-2 x^{2} \ln \left(3\right)+1\right) {\mathrm e}^{x}}{2}+x \ln \left(\frac{1}{3}\right)}$&$26$\\ risch&$\frac{\left(8 x -10\right) 3^{-x} 3^{{\mathrm e}^{x} x^{2}} {\mathrm e}^{-\frac{{\mathrm e}^{x}}{2}}}{8}$&$26$\\ \hline \end{longtable}"," ",0,"(x-5/4)/exp(1/2*(-2*x^2*ln(3)+1)*exp(x)+x*ln(3))","A"
6297,1,55,30,238.703000," ","int(((32*x^3+48*x^2+80*x)*exp(x)^2+(-32*x^5-800*x^4-5312*x^3-10976*x^2-12960*x)*exp(x)+112*x^6+3920*x^5+48160*x^4+252320*x^3+574128*x^2+524880*x)*exp((16*exp(x)^2*x^3+(-32*x^5-640*x^4-2592*x^3)*exp(x)+16*x^7+640*x^6+8992*x^5+51840*x^4+104976*x^3)/exp(5/x))/exp(5/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-16 x^{3} \left(-x^{4}+2 \,{\mathrm e}^{x} x^{2}-40 x^{3}+40 \,{\mathrm e}^{x} x -562 x^{2}+162 \,{\mathrm e}^{x}-{\mathrm e}^{2 x}-3240 x -6561\right) {\mathrm e}^{-\frac{5}{x}}}$&$55$\\ \hline \end{longtable}"," ",0,"exp(-16*x^3*(-x^4+2*exp(x)*x^2-40*x^3+40*exp(x)*x-562*x^2+162*exp(x)-exp(2*x)-3240*x-6561)*exp(-5/x))","A"
6298,1,14,21,0.086000," ","int(((-375*x+3)*ln(-x+1/125)+375*x)/((125*x-1)*ln(-x+1/125)^2+(250*x^2-2*x)*ln(-x+1/125)+125*x^3-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 x}{\ln \left(-x +\frac{1}{125}\right)+x}$&$14$\\ norman&$\frac{3 \ln \left(-x +\frac{1}{125}\right)}{\ln \left(-x +\frac{1}{125}\right)+x}$&$19$\\ \hline \end{longtable}"," ",0,"-3*x/(ln(-x+1/125)+x)","A"
6299,1,58,32,0.118000," ","int(((18*x^6+54*x^5+54*x^4+18*x^3)*exp(x)^2+(-36*x^7-144*x^6-216*x^5-126*x^4-36*x^3-36*x^2-18*x)*exp(x)+72*x^7+216*x^6+216*x^5+108*x^4+36*x^3-36*x-18)/(x^6+3*x^5+3*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{9}{\left(x +1\right)^{2}}-\frac{18}{x +1}+\frac{9}{x^{2}}-\frac{18}{x}+36 x^{2}-\frac{18 \,{\mathrm e}^{x}}{x +1}+9 \,{\mathrm e}^{2 x}-36 \,{\mathrm e}^{x} x +\frac{18 \,{\mathrm e}^{x}}{x}$&$58$\\ risch&$36 x^{2}+\frac{-36 x^{3}-36 x^{2}+9}{x^{2} \left(x^{2}+2 x +1\right)}+9 \,{\mathrm e}^{2 x}-\frac{18 \left(2 x^{3}+2 x^{2}-1\right) {\mathrm e}^{x}}{\left(x +1\right) x}$&$63$\\ norman&$\frac{9-108 x^{3}-72 x^{2}+72 x^{5}+36 x^{6}-36 x^{5} {\mathrm e}^{x}+18 \,{\mathrm e}^{x} x +18 \,{\mathrm e}^{x} x^{2}-36 \,{\mathrm e}^{x} x^{3}-72 \,{\mathrm e}^{x} x^{4}+9 \,{\mathrm e}^{2 x} x^{2}+18 \,{\mathrm e}^{2 x} x^{3}+9 \,{\mathrm e}^{2 x} x^{4}}{x^{2} \left(x +1\right)^{2}}$&$92$\\ \hline \end{longtable}"," ",0,"9/(x+1)^2-18/(x+1)+9/x^2-18/x+36*x^2-18*exp(x)/(x+1)+9*exp(x)^2-36*exp(x)*x+18*exp(x)/x","A"
6300,1,22,23,0.045000," ","int((((4*x-4)*exp(x)^5+(-12*x^2+12*x)*exp(x)^4)*exp(exp(x)^4/x^4)+(-x^5+x^4)*exp(x))/(x^5*exp(x)-3*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-\ln \left({\mathrm e}^{x}-3 x \right)+{\mathrm e}^{\frac{{\mathrm e}^{4 x}}{x^{4}}}$&$22$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(exp(x)-3*x)+exp(exp(4*x)/x^4)","A"
6301,1,28,20,0.061000," ","int(2*exp(x)*exp(5+x)+(-x^4-6*x^3-7*x^2-2*x-1)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{5+2 x}+\left(-x^{4}-2 x^{3}-x^{2}-1\right) {\mathrm e}^{x}$&$28$\\ default&$-{\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x^{3}-{\mathrm e}^{x} x^{4}-{\mathrm e}^{x}+{\mathrm e}^{5} {\mathrm e}^{2 x}$&$34$\\ norman&$-{\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x^{3}-{\mathrm e}^{x} x^{4}-{\mathrm e}^{x}+{\mathrm e}^{5} {\mathrm e}^{2 x}$&$34$\\ meijerg&$-{\mathrm e}^{5} \left(1-{\mathrm e}^{2 x}\right)-\frac{\left(5 x^{4}-20 x^{3}+60 x^{2}-120 x +120\right) {\mathrm e}^{x}}{5}+\frac{3 \left(-4 x^{3}+12 x^{2}-24 x +24\right) {\mathrm e}^{x}}{2}-\frac{7 \left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}}{3}+\left(-2 x +2\right) {\mathrm e}^{x}+1-{\mathrm e}^{x}$&$84$\\ \hline \end{longtable}"," ",0,"exp(5+2*x)+(-x^4-2*x^3-x^2-1)*exp(x)","A"
6302,1,15,16,0.107000," ","int(((-2*exp(x)*x-2*x*ln(3)+4*x)*ln(exp(x)+ln(3)-2)+exp(x)*x^2)/(exp(x)+ln(3)-2)/ln(exp(x)+ln(3)-2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x^{2}}{\ln \left({\mathrm e}^{x}+\ln \left(3\right)-2\right)}$&$15$\\ risch&$-\frac{x^{2}}{\ln \left({\mathrm e}^{x}+\ln \left(3\right)-2\right)}$&$15$\\ \hline \end{longtable}"," ",0,"-x^2/ln(exp(x)+ln(3)-2)","A"
6303,1,129,22,5.781000," ","int((2*(30*x^3-120*x^2)*ln(2)*exp(x^2)*ln(x)*ln((-x+4)*ln(x))-30*x*ln(2)*exp(x^2)*ln(x)+2*(-15*x+60)*ln(2)*exp(x^2))*exp(3*exp(x^2)/ln((-x+4)*ln(x)))/(x^2-4*x)/ln(x)/ln((-x+4)*ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$10 \ln \left(2\right) {\mathrm e}^{\frac{6 \,{\mathrm e}^{x^{2}}}{i \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(x -4\right)\right)^{3}+i \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(x -4\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)+i \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(x -4\right)\right)^{2} \mathrm{csgn}\left(i \left(x -4\right)\right)-i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right) \left(x -4\right)\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \left(x -4\right)\right)-2 i \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(x -4\right)\right)^{2}+2 i \pi +2 \ln \left(\ln \left(x \right)\right)+2 \ln \left(x -4\right)}}$&$129$\\ \hline \end{longtable}"," ",0,"10*ln(2)*exp(6*exp(x^2)/(I*Pi*csgn(I*ln(x)*(x-4))^3+I*Pi*csgn(I*ln(x)*(x-4))^2*csgn(I*ln(x))+I*Pi*csgn(I*ln(x)*(x-4))^2*csgn(I*(x-4))-I*Pi*csgn(I*ln(x)*(x-4))*csgn(I*ln(x))*csgn(I*(x-4))-2*I*Pi*csgn(I*ln(x)*(x-4))^2+2*I*Pi+2*ln(ln(x))+2*ln(x-4)))","C"
6304,1,22,27,1.864000," ","int((-9*exp(1/x/exp(5))-6*x^3*exp(5))/(9*x^2*exp(5)*exp(1/x/exp(5))^2+(-18*x^2*exp(5)*ln(5)-6*x^4*exp(5))*exp(1/x/exp(5))+9*x^2*exp(5)*ln(5)^2+6*x^4*exp(5)*ln(5)+x^6*exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{x^{2}+3 \ln \left(5\right)-3 \,{\mathrm e}^{\frac{{\mathrm e}^{-5}}{x}}}$&$22$\\ norman&$\frac{3}{x^{2}+3 \ln \left(5\right)-3 \,{\mathrm e}^{\frac{{\mathrm e}^{-5}}{x}}}$&$24$\\ \hline \end{longtable}"," ",0,"3/(x^2+3*ln(5)-3*exp(1/x*exp(-5)))","A"
6305,1,18,18,0.044000," ","int((-5*x*ln(2*x)^2+(-10*x+50)*ln(2*x)+1)*exp((-5*x+25)*ln(2*x)^2+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \,{\mathrm e}^{\left(-5 x +25\right) \ln \left(2 x \right)^{2}+2}$&$18$\\ risch&$x \,{\mathrm e}^{-5 x \ln \left(2 x \right)^{2}+25 \ln \left(2 x \right)^{2}+2}$&$23$\\ \hline \end{longtable}"," ",0,"x*exp((-5*x+25)*ln(2*x)^2+2)","A"
6306,1,31,32,0.376000," ","int((192*exp(3)^2*exp(exp(3))^4+(-384*exp(3)^2*exp(x)+48*exp(3)*ln(3))*exp(exp(3))^2+192*exp(3)^2*exp(x)^2+(-4*x^2-48)*exp(3)*ln(3)*exp(x)+3*ln(3)^2)/(64*x^2*exp(3)^2*exp(exp(3))^4+(-128*x^2*exp(3)^2*exp(x)+16*x^2*exp(3)*ln(3))*exp(exp(3))^2+64*x^2*exp(3)^2*exp(x)^2-16*x^2*exp(3)*ln(3)*exp(x)+x^2*ln(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3}{x}-\frac{\ln \left(3\right)}{2 \left(8 \,{\mathrm e}^{3+2 \,{\mathrm e}^{3}}-8 \,{\mathrm e}^{3+x}+\ln \left(3\right)\right)}$&$31$\\ norman&$\frac{-\frac{x \ln \left(3\right)}{2}+24 \,{\mathrm e}^{x} {\mathrm e}^{3}-24 \,{\mathrm e}^{3} {\mathrm e}^{2 \,{\mathrm e}^{3}}-3 \ln \left(3\right)}{x \left(8 \,{\mathrm e}^{3} {\mathrm e}^{2 \,{\mathrm e}^{3}}-8 \,{\mathrm e}^{x} {\mathrm e}^{3}+\ln \left(3\right)\right)}$&$50$\\ \hline \end{longtable}"," ",0,"-3/x-1/2*ln(3)/(8*exp(3+2*exp(3))-8*exp(3+x)+ln(3))","A"
6307,1,25,23,0.110000," ","int((-875000*x^4+2800000*x^3-2100000*x^2)/(390625*x^10-3125000*x^9+9375000*x^8-12500000*x^7+6250000*x^6-15000*x^5+60000*x^4-60000*x^3+144)/exp(-20/(625*x^5-2500*x^4+2500*x^3-12))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$7 \,{\mathrm e}^{\frac{40}{625 x^{5}-2500 x^{4}+2500 x^{3}-12}}$&$25$\\ gosper&$7 \,{\mathrm e}^{\frac{40}{625 x^{5}-2500 x^{4}+2500 x^{3}-12}}$&$27$\\ norman&$\frac{\left(4375 x^{5}-17500 x^{4}+17500 x^{3}-84\right) {\mathrm e}^{\frac{40}{625 x^{5}-2500 x^{4}+2500 x^{3}-12}}}{625 x^{5}-2500 x^{4}+2500 x^{3}-12}$&$62$\\ \hline \end{longtable}"," ",0,"7*exp(40/(625*x^5-2500*x^4+2500*x^3-12))","A"
6308,1,18,22,0.047000," ","int(1/9*(-64*x^2-160*x-96)*exp(4)^2/x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{16 \left(x^{2}+2 x +1\right) {\mathrm e}^{8}}{9 x^{6}}$&$18$\\ risch&$\frac{{\mathrm e}^{8} \left(16 x^{2}+32 x +16\right)}{9 x^{6}}$&$18$\\ default&$\frac{32 \,{\mathrm e}^{8} \left(\frac{1}{x^{5}}+\frac{1}{2 x^{6}}+\frac{1}{2 x^{4}}\right)}{9}$&$21$\\ norman&$\frac{\frac{16 \,{\mathrm e}^{8}}{9}+\frac{32 x \,{\mathrm e}^{8}}{9}+\frac{16 x^{2} {\mathrm e}^{8}}{9}}{x^{6}}$&$28$\\ \hline \end{longtable}"," ",0,"16/9*(x^2+2*x+1)*exp(4)^2/x^6","A"
6309,1,17,16,0.027000," ","int(3*exp(x)+4*x^3+16*x+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{4}+8 x^{2}+3 x +3 \,{\mathrm e}^{x}$&$17$\\ norman&$x^{4}+8 x^{2}+3 x +3 \,{\mathrm e}^{x}$&$17$\\ risch&$x^{4}+8 x^{2}+3 x +3 \,{\mathrm e}^{x}$&$17$\\ \hline \end{longtable}"," ",0,"x^4+8*x^2+3*x+3*exp(x)","A"
6310,1,21,16,0.061000," ","int(((2*x^2+4*x+1)*exp(x)+2*x^3+13*x^2+17*x+5)*exp(x^2+3*x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}+{\mathrm e}^{x} x +5 x \right) {\mathrm e}^{\left(2+x \right) \left(x +1\right)}$&$21$\\ default&$5 x \,{\mathrm e}^{x^{2}+3 x +2}+x^{2} {\mathrm e}^{x^{2}+3 x +2}+x \,{\mathrm e}^{x^{2}+4 x +2}$&$38$\\ norman&$x^{2} {\mathrm e}^{x^{2}+3 x +2}+{\mathrm e}^{x} x \,{\mathrm e}^{x^{2}+3 x +2}+5 x \,{\mathrm e}^{x^{2}+3 x +2}$&$40$\\ \hline \end{longtable}"," ",0,"(x^2+exp(x)*x+5*x)*exp((2+x)*(x+1))","A"
6311,1,22,18,0.145000," ","int((-2*ln(16*exp(x)^2)^2+8*x*ln(16*exp(x)^2)+(2*x-2)*exp(x)-6)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{6+2 \ln \left(16 \,{\mathrm e}^{2 x}\right)^{2}+2 \,{\mathrm e}^{x}}{x}$&$22$\\ default&$\frac{6}{x}+\frac{2 \ln \left(16 \,{\mathrm e}^{2 x}\right)^{2}}{x}+\frac{2 \,{\mathrm e}^{x}}{x}$&$28$\\ risch&$\frac{8 \ln \left({\mathrm e}^{x}\right)^{2}}{x}+\frac{4 \left(-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+2 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}+8 \ln \left(2\right)\right) \ln \left({\mathrm e}^{x}\right)}{x}+\frac{12+64 \ln \left(2\right)^{2}+4 \,{\mathrm e}^{x}-16 i \ln \left(2\right) \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-\pi^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{4} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+4 \pi^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{3} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-6 \pi^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{4}+4 \pi^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{5}-\pi^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{6}-16 i \ln \left(2\right) \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+32 i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}}{2 x}$&$261$\\ \hline \end{longtable}"," ",0,"(6+2*ln(16*exp(x)^2)^2+2*exp(x))/x","A"
6312,1,40,28,0.157000," ","int((((-x^2*exp(x+exp(1))+x^2)*ln(x)^3-exp(2)*ln(x)-2*exp(2))*exp(((-x*exp(x+exp(1))+x^2)*ln(x)^2+exp(2))/x/ln(x)^2)+(2*x^3-8*x^2)*ln(x)^3)/x^2/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-8 x +{\mathrm e}^{\frac{-\ln \left(x \right)^{2} {\mathrm e}^{x +{\mathrm e}} x +x^{2} \ln \left(x \right)^{2}+{\mathrm e}^{2}}{\ln \left(x \right)^{2} x}}$&$40$\\ \hline \end{longtable}"," ",0,"x^2-8*x+exp((-ln(x)^2*exp(x+exp(1))*x+x^2*ln(x)^2+exp(2))/ln(x)^2/x)","A"
6313,1,19,14,0.407000," ","int(((ln(3)+2*x-16)*ln(x*ln(3)+2*x^2-16*x)-ln(3)-4*x+16)/(ln(3)+2*x-16)/ln(x*ln(3)+2*x^2-16*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{\ln \left(x \ln \left(3\right)+2 x^{2}-16 x \right)}$&$19$\\ risch&$\frac{x}{\ln \left(x \ln \left(3\right)+2 x^{2}-16 x \right)}$&$19$\\ \hline \end{longtable}"," ",0,"x/ln(x*ln(3)+2*x^2-16*x)","A"
6314,1,48,33,0.065000," ","int((((8*x^3-36*x^2-10*x)*exp(x)^2-4*x^3-12*x)*ln(x)^2+((4*x^2-8*x)*exp(x)^4+(4*x^4-14*x^3-12*x^2+6*x)*exp(x)^2)*ln(x)+(-2*x^2+8*x+6)*exp(x)^4+(-2*x^3+8*x^2+6*x)*exp(x)^2)/(x*exp(x)^4+2*exp(x)^2*x^2+x^3)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(2 x^{2}-7 x -6\right)}{{\mathrm e}^{2 x}+x}+\frac{2 \left(x^{2}-4 x -3\right) {\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}+x \right) \ln \left(x \right)}$&$48$\\ \hline \end{longtable}"," ",0,"-2*(2*x^2-7*x-6)/(exp(2*x)+x)+2*(x^2-4*x-3)*exp(2*x)/(exp(2*x)+x)/ln(x)","A"
6315,1,20,22,0.028000," ","int((15*x^5+4*x^4-3*x^3-10)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x^{3}+2 x^{2}-3 x +\frac{5}{x^{2}}$&$20$\\ risch&$5 x^{3}+2 x^{2}-3 x +\frac{5}{x^{2}}$&$20$\\ gosper&$\frac{5 x^{5}+2 x^{4}-3 x^{3}+5}{x^{2}}$&$22$\\ norman&$\frac{5 x^{5}+2 x^{4}-3 x^{3}+5}{x^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"5*x^3+2*x^2-3*x+5/x^2","A"
6316,1,25,27,0.409000," ","int((6561*exp(x)^4+(-81*x^2+162*x+52488)*exp(x)^3+(162*exp(3)+648*x+158274)*exp(x)^2+((x^2+2*x+648)*exp(3)+329*x^2+658*x+213192)*exp(x)+exp(3)^2+658*exp(3)+108241)/(6561*exp(x)^4+52488*exp(x)^3+(162*exp(3)+158274)*exp(x)^2+(648*exp(3)+213192)*exp(x)+exp(3)^2+658*exp(3)+108241),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x^{2} {\mathrm e}^{x}}{81 \,{\mathrm e}^{2 x}+{\mathrm e}^{3}+324 \,{\mathrm e}^{x}+329}$&$25$\\ norman&$\frac{\left({\mathrm e}^{3}+329\right) x +{\mathrm e}^{x} x^{2}+81 x \,{\mathrm e}^{2 x}+324 \,{\mathrm e}^{x} x}{81 \,{\mathrm e}^{2 x}+{\mathrm e}^{3}+324 \,{\mathrm e}^{x}+329}$&$43$\\ \hline \end{longtable}"," ",0,"x+x^2*exp(x)/(81*exp(2*x)+exp(3)+324*exp(x)+329)","A"
6317,1,23,21,0.237000," ","int((((-2*x^2-2*x)*exp(25)+2*x+1)*exp(x*exp(25))^2+(x^2-x-1)*exp(x)+4*x+2)/(x^4+2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{x}-{\mathrm e}^{2 x \,{\mathrm e}^{25}}-2}{\left(x +1\right) x}$&$23$\\ risch&$-\frac{2}{x \left(x +1\right)}+\frac{{\mathrm e}^{x}}{x \left(x +1\right)}-\frac{{\mathrm e}^{2 x \,{\mathrm e}^{25}}}{x \left(x +1\right)}$&$39$\\ default&${\mathrm e}^{-25} \left(-\frac{{\mathrm e}^{2 x \,{\mathrm e}^{25}} {\mathrm e}^{25} \left(2 x \,{\mathrm e}^{25}+{\mathrm e}^{25}\right)}{\left(x \,{\mathrm e}^{25}+{\mathrm e}^{25}\right) x}-2 \left(2 \,{\mathrm e}^{50} {\mathrm e}^{25}-{\mathrm e}^{75}+{\mathrm e}^{50}\right) {\mathrm e}^{-25} {\mathrm e}^{-2 \,{\mathrm e}^{25}} \expIntegralEi \left(1, -2 x \,{\mathrm e}^{25}-2 \,{\mathrm e}^{25}\right)-2 \left(-{\mathrm e}^{50}+{\mathrm e}^{75}\right) {\mathrm e}^{-25} \expIntegralEi \left(1, -2 x \,{\mathrm e}^{25}\right)\right)+\frac{2}{x +1}-\frac{2}{x}+\frac{{\mathrm e}^{x}}{x}-\frac{{\mathrm e}^{x}}{x +1}+2 \,{\mathrm e}^{-50} \left(\frac{{\mathrm e}^{2 x \,{\mathrm e}^{25}} {\mathrm e}^{75}}{x \,{\mathrm e}^{25}+{\mathrm e}^{25}}+{\mathrm e}^{75} \left(2 \,{\mathrm e}^{25}+1\right) {\mathrm e}^{-25} {\mathrm e}^{-2 \,{\mathrm e}^{25}} \expIntegralEi \left(1, -2 x \,{\mathrm e}^{25}-2 \,{\mathrm e}^{25}\right)-{\mathrm e}^{75} {\mathrm e}^{-25} \expIntegralEi \left(1, -2 x \,{\mathrm e}^{25}\right)\right)-2 \,{\mathrm e}^{-25} \left(\frac{{\mathrm e}^{2 x \,{\mathrm e}^{25}} {\mathrm e}^{75}}{x \,{\mathrm e}^{25}+{\mathrm e}^{25}}+{\mathrm e}^{75} \left(2 \,{\mathrm e}^{25}+1\right) {\mathrm e}^{-25} {\mathrm e}^{-2 \,{\mathrm e}^{25}} \expIntegralEi \left(1, -2 x \,{\mathrm e}^{25}-2 \,{\mathrm e}^{25}\right)-{\mathrm e}^{75} {\mathrm e}^{-25} \expIntegralEi \left(1, -2 x \,{\mathrm e}^{25}\right)\right)-2 \,{\mathrm e}^{-50} \left(-\frac{{\mathrm e}^{2 x \,{\mathrm e}^{25}} {\mathrm e}^{100}}{x \,{\mathrm e}^{25}+{\mathrm e}^{25}}-2 \,{\mathrm e}^{100} {\mathrm e}^{-2 \,{\mathrm e}^{25}} \expIntegralEi \left(1, -2 x \,{\mathrm e}^{25}-2 \,{\mathrm e}^{25}\right)\right)$&$314$\\ \hline \end{longtable}"," ",0,"(exp(x)-exp(x*exp(25))^2-2)/(x+1)/x","A"
6318,1,21,21,0.069000," ","int((-15*exp(3)+2*x^3+3*x^2)/(15*x*exp(3)+x^4+3*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x^{3}+3 x^{2}+15 \,{\mathrm e}^{3}+x \right)-\ln \left(x \right)$&$21$\\ norman&$\ln \left(x^{3}+3 x^{2}+15 \,{\mathrm e}^{3}+x \right)-\ln \left(x \right)$&$21$\\ risch&$\ln \left(x^{3}+3 x^{2}+15 \,{\mathrm e}^{3}+x \right)-\ln \left(x \right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(x^3+3*x^2+15*exp(3)+x)-ln(x)","A"
6319,1,82,22,0.129000," ","int((((2*x*exp(1)^2-2*x*exp(1))*exp(9)+(2*x^2-2*x)*exp(1)^2+(-4*x^2+2*x)*exp(1)+2*x^2)*ln(x)^3+((12*x*exp(1)^2-12*x*exp(1))*exp(9)+(12*x^2-2*x)*exp(1)^2+(-24*x^2+2*x)*exp(1)+12*x^2)*ln(x)^2+(((24*x-10)*exp(1)^2-24*x*exp(1))*exp(9)+(24*x^2+6*x+10)*exp(1)^2+(-48*x^2-6*x)*exp(1)+24*x^2)*ln(x)+((16*x-20)*exp(1)^2-16*x*exp(1))*exp(9)+(16*x^2+4*x-30)*exp(1)^2+(-32*x^2-4*x)*exp(1)+16*x^2)/(x*exp(1)^2*ln(x)^3+6*x*exp(1)^2*ln(x)^2+12*x*exp(1)^2*ln(x)+8*x*exp(1)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \left(2 \,{\mathrm e}^{11}-2 \,{\mathrm e}^{10}+{\mathrm e}^{2} x -2 \,{\mathrm e}^{2}-2 x \,{\mathrm e}+2 \,{\mathrm e}+x \right) {\mathrm e}^{-2}+\frac{5 \left(2 \,{\mathrm e}^{10} \ln \left(x \right)+4 \,{\mathrm e}^{10}+2 x \,{\mathrm e} \ln \left(x \right)+4 x \,{\mathrm e}-2 \,{\mathrm e} \ln \left(x \right)-2 x \ln \left(x \right)+{\mathrm e}-4 x \right) {\mathrm e}^{-1}}{\left(\ln \left(x \right)+2\right)^{2}}$&$82$\\ norman&$\frac{\left(10 \,{\mathrm e} \left({\mathrm e}^{9}-1\right) \ln \left(x \right)+\left(8 \,{\mathrm e} \,{\mathrm e}^{9}+12 \,{\mathrm e}-8 \,{\mathrm e}^{9}-12\right) x +\left(2 \,{\mathrm e} \,{\mathrm e}^{9}-2 \,{\mathrm e}-2 \,{\mathrm e}^{9}+2\right) x \ln \left(x \right)^{2}+\left(8 \,{\mathrm e} \,{\mathrm e}^{9}+2 \,{\mathrm e}-8 \,{\mathrm e}^{9}-2\right) x \ln \left(x \right)+\left({\mathrm e}^{2}-2 \,{\mathrm e}+1\right) {\mathrm e}^{-1} x^{2} \ln \left(x \right)^{2}+4 \left({\mathrm e}^{2}-2 \,{\mathrm e}+1\right) {\mathrm e}^{-1} x^{2}+4 \left({\mathrm e}^{2}-2 \,{\mathrm e}+1\right) {\mathrm e}^{-1} x^{2} \ln \left(x \right)+5 \,{\mathrm e} \left(4 \,{\mathrm e}^{9}+1\right)\right) {\mathrm e}^{-1}}{\left(\ln \left(x \right)+2\right)^{2}}$&$155$\\ \hline \end{longtable}"," ",0,"x*(2*exp(11)-2*exp(10)+exp(2)*x-2*exp(2)-2*x*exp(1)+2*exp(1)+x)*exp(-2)+5*(2*exp(10)*ln(x)+4*exp(10)+2*x*exp(1)*ln(x)+4*x*exp(1)-2*exp(1)*ln(x)-2*x*ln(x)+exp(1)-4*x)/(ln(x)+2)^2*exp(-1)","B"
6320,1,27,19,0.391000," ","int((((2*x-2)*exp(x+1)^2+(-2*x^2+2)*exp(x+1)+2*x^2-2*x)*ln(x-1)^2+(2*exp(x+1)^2-4*x*exp(x+1)+2*x^2)*ln(x-1)+x-1)/(x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}-2 x \,{\mathrm e}^{x +1}+{\mathrm e}^{2 x +2}\right) \ln \left(x -1\right)^{2}+x$&$27$\\ default&$x +{\mathrm e}^{2 x +2} \ln \left(x -1\right)^{2}-2 \,{\mathrm e}^{x +1} \ln \left(x -1\right)^{2} x +\left(x -1\right)^{2} \ln \left(x -1\right)^{2}+2 \left(x -1\right) \ln \left(x -1\right)^{2}+\ln \left(x -1\right)^{2}$&$58$\\ \hline \end{longtable}"," ",0,"(x^2-2*x*exp(x+1)+exp(2*x+2))*ln(x-1)^2+x","A"
6321,1,15,13,0.395000," ","int((exp(x)^2+(-2*exp(1)+5)*exp(x)+exp(1)^2-6*exp(1)+9)/(exp(x)^2+(-2*exp(1)+6)*exp(x)+exp(1)^2-6*exp(1)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{1}{-{\mathrm e}^{x}+{\mathrm e}-3}$&$15$\\ norman&$\frac{\left({\mathrm e}-3\right) x -{\mathrm e}^{x} x -1}{-{\mathrm e}^{x}+{\mathrm e}-3}$&$25$\\ default&$\frac{\frac{{\mathrm e}^{2} x}{{\mathrm e}-3}+\frac{{\mathrm e}^{2}}{{\mathrm e}-3}-\frac{{\mathrm e}^{2} x \,{\mathrm e}^{x}}{{\mathrm e}^{2}-6 \,{\mathrm e}+9}}{-{\mathrm e}^{x}+{\mathrm e}-3}-\frac{{\mathrm e}^{2} \ln \left(-{\mathrm e}^{x}+{\mathrm e}-3\right)}{{\mathrm e}^{2}-6 \,{\mathrm e}+9}-\frac{{\mathrm e}}{-{\mathrm e}^{x}+{\mathrm e}-3}+\frac{2}{-{\mathrm e}^{x}+{\mathrm e}-3}+\ln \left(-{\mathrm e}^{x}+{\mathrm e}-3\right)+\frac{\frac{9 x}{{\mathrm e}-3}+\frac{9}{{\mathrm e}-3}-\frac{9 x \,{\mathrm e}^{x}}{{\mathrm e}^{2}-6 \,{\mathrm e}+9}}{-{\mathrm e}^{x}+{\mathrm e}-3}-\frac{9 \ln \left(-{\mathrm e}^{x}+{\mathrm e}-3\right)}{{\mathrm e}^{2}-6 \,{\mathrm e}+9}+\frac{-\frac{6 \,{\mathrm e}}{{\mathrm e}-3}-\frac{6 \,{\mathrm e} x}{{\mathrm e}-3}+\frac{6 \,{\mathrm e} x \,{\mathrm e}^{x}}{{\mathrm e}^{2}-6 \,{\mathrm e}+9}}{-{\mathrm e}^{x}+{\mathrm e}-3}+\frac{6 \,{\mathrm e} \ln \left(-{\mathrm e}^{x}+{\mathrm e}-3\right)}{{\mathrm e}^{2}-6 \,{\mathrm e}+9}$&$266$\\ \hline \end{longtable}"," ",0,"x-1/(-exp(x)+exp(1)-3)","A"
6322,1,20,19,0.063000," ","int(((-2*x+2)*ln(x*exp(exp(2)+6)^2)+exp(x)+2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x \,{\mathrm e}^{-x} \ln \left(x \,{\mathrm e}^{2 \,{\mathrm e}^{2}+12}\right)+x$&$20$\\ risch&$2 x \,{\mathrm e}^{-x} \ln \left(x \,{\mathrm e}^{2 \,{\mathrm e}^{2}+12}\right)+x$&$20$\\ norman&$\left({\mathrm e}^{x} x +2 \ln \left(x \,{\mathrm e}^{2 \,{\mathrm e}^{2}+12}\right) x \right) {\mathrm e}^{-x}$&$24$\\ \hline \end{longtable}"," ",0,"x+2*ln(x*exp(exp(2)+6)^2)*x/exp(x)","A"
6323,1,28,24,0.462000," ","int(((3*x^5+20*x^4-5*x)*ln(ln(5))+(x^6+8*x^5+20*x^4-x^3-5*x^2-5*x)*exp(x)+6*x^5+40*x^4+7*x^2+60*x+175)*exp(((x^4-x)*ln(ln(5))+(x^4-x)*exp(x)+2*x^4-2*x)/(7*x+35))/(7*x^2+70*x+175),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{\frac{\left(2+{\mathrm e}^{x}+\ln \left(\ln \left(5\right)\right)\right) \left(x^{2}+x +1\right) x \left(x -1\right)}{7 x +35}}$&$28$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{\left(x^{4}-x \right) \ln \left(\ln \left(5\right)\right)+\left(x^{4}-x \right) {\mathrm e}^{x}+2 x^{4}-2 x}{7 x +35}}+5 x \,{\mathrm e}^{\frac{\left(x^{4}-x \right) \ln \left(\ln \left(5\right)\right)+\left(x^{4}-x \right) {\mathrm e}^{x}+2 x^{4}-2 x}{7 x +35}}}{5+x}$&$93$\\ \hline \end{longtable}"," ",0,"x*exp(1/7*x*(x-1)*(x^2+x+1)*(2+exp(x)+ln(ln(5)))/(5+x))","A"
6324,1,24,23,0.059000," ","int((((5*x^3+5*x^2+5*x)*exp(x)-3*x^2-2*x-1)*ln(x)+(5*x^4+5*x^3+5*x^2)*exp(x)-2*x^3+x+1)*exp(5*exp(x)+1)/(x^6+2*x^5+3*x^4+2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{5 \,{\mathrm e}^{x}+1} \left(x +\ln \left(x \right)\right)}{\left(x^{2}+x +1\right) x}$&$24$\\ \hline \end{longtable}"," ",0,"exp(5*exp(x)+1)/(x^2+x+1)/x*(x+ln(x))","A"
6325,1,42,28,0.426000," ","int(((-90*x^5-150*x^4-60*x^3-45*x^2)*exp(3)-x^10-4*x^9-6*x^8-6*x^7+20*x^6+38*x^5+14*x^4+10*x^3)*exp((-x^6-2*x^5-x^4-x^3)/(15*exp(3)+x^5+2*x^4+x^3+x^2-5*x))/(225*exp(3)^2+(30*x^5+60*x^4+30*x^3+30*x^2-150*x)*exp(3)+x^10+4*x^9+6*x^8+6*x^7-5*x^6-18*x^5-9*x^4-10*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{x^{3} \left(x^{3}+2 x^{2}+x +1\right)}{15 \,{\mathrm e}^{3}+x^{5}+2 x^{4}+x^{3}+x^{2}-5 x}}$&$42$\\ risch&${\mathrm e}^{-\frac{x^{3} \left(x^{3}+2 x^{2}+x +1\right)}{15 \,{\mathrm e}^{3}+x^{5}+2 x^{4}+x^{3}+x^{2}-5 x}}$&$42$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{-x^{6}-2 x^{5}-x^{4}-x^{3}}{15 \,{\mathrm e}^{3}+x^{5}+2 x^{4}+x^{3}+x^{2}-5 x}}+x^{3} {\mathrm e}^{\frac{-x^{6}-2 x^{5}-x^{4}-x^{3}}{15 \,{\mathrm e}^{3}+x^{5}+2 x^{4}+x^{3}+x^{2}-5 x}}+x^{5} {\mathrm e}^{\frac{-x^{6}-2 x^{5}-x^{4}-x^{3}}{15 \,{\mathrm e}^{3}+x^{5}+2 x^{4}+x^{3}+x^{2}-5 x}}-5 x \,{\mathrm e}^{\frac{-x^{6}-2 x^{5}-x^{4}-x^{3}}{15 \,{\mathrm e}^{3}+x^{5}+2 x^{4}+x^{3}+x^{2}-5 x}}+2 x^{4} {\mathrm e}^{\frac{-x^{6}-2 x^{5}-x^{4}-x^{3}}{15 \,{\mathrm e}^{3}+x^{5}+2 x^{4}+x^{3}+x^{2}-5 x}}+15 \,{\mathrm e}^{3} {\mathrm e}^{\frac{-x^{6}-2 x^{5}-x^{4}-x^{3}}{15 \,{\mathrm e}^{3}+x^{5}+2 x^{4}+x^{3}+x^{2}-5 x}}}{15 \,{\mathrm e}^{3}+x^{5}+2 x^{4}+x^{3}+x^{2}-5 x}$&$333$\\ \hline \end{longtable}"," ",0,"exp(-x^3*(x^3+2*x^2+x+1)/(15*exp(3)+x^5+2*x^4+x^3+x^2-5*x))","A"
6326,1,37,29,0.105000," ","int(((-x^3*exp(1)+3*x+32)*ln(x)+x^3*ln(5)+(5*x^3+16*x^2)*exp(1)-x^3-x-16)/(x^5+32*x^4+256*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(1-4 \,{\mathrm e}-\ln \left(5\right)\right) x^{2}+x^{2} {\mathrm e} \ln \left(x \right)-\ln \left(x \right)}{x^{2} \left(x +16\right)}$&$37$\\ risch&$\frac{\left(x^{2} {\mathrm e}-1\right) \ln \left(x \right)}{x^{2} \left(x +16\right)}+\frac{1}{x +16}-\frac{4 \,{\mathrm e}}{x +16}-\frac{\ln \left(5\right)}{x +16}$&$44$\\ default&$-\frac{\ln \left(5\right)}{x +16}-\frac{4 \,{\mathrm e}}{x +16}+\frac{1}{x +16}-\frac{\ln \left(x \right)}{4096}+\frac{{\mathrm e} \ln \left(x \right)}{16}-\frac{\ln \left(x \right)}{16 x^{2}}+\frac{\ln \left(x \right)}{256 x}-\frac{{\mathrm e} \ln \left(x \right) x}{16 \left(x +16\right)}+\frac{x \ln \left(x \right)}{4096 x +65536}$&$71$\\ \hline \end{longtable}"," ",0,"((1-4*exp(1)-ln(5))*x^2+x^2*exp(1)*ln(x)-ln(x))/x^2/(x+16)","A"
6327,1,27,29,0.051000," ","int(1/4*(4*ln(1/3*x)+(x-4)*exp(4*ln(2)+1/4*x-3/4)-4)*exp(1/3*(-ln(1/3*x)+exp(4*ln(2)+1/4*x-3/4)+9*x)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \,{\mathrm e}^{\frac{-\ln \left(\frac{x}{3}\right)+16 \,{\mathrm e}^{\frac{x}{4}-\frac{3}{4}}+9 x}{3 x}}$&$27$\\ \hline \end{longtable}"," ",0,"3*exp(1/3*(-ln(1/3*x)+16*exp(1/4*x-3/4)+9*x)/x)","A"
6328,1,13,16,0.065000," ","int(((1-ln(x))*exp(ln(x)/x)+2*x^2+x)*exp(exp(ln(x)/x)+2*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{\frac{1}{x}}+2 x} x$&$13$\\ \hline \end{longtable}"," ",0,"exp(x^(1/x)+2*x)*x","A"
6329,1,44,26,0.146000," ","int((4*x^4+64*x^3+21*x^2-40*x+20)*ln(3)*exp(((-x-2)*ln(x/(8*x^2-10))+6*x)/(6*x+12))/(24*x^5+96*x^4+66*x^3-120*x^2-120*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(3\right) {\mathrm e}^{-\frac{\ln \left(\frac{x}{8 x^{2}-10}\right) x +2 \ln \left(\frac{x}{8 x^{2}-10}\right)-6 x}{6 \left(2+x \right)}}$&$44$\\ gosper&$\ln \left(3\right) {\mathrm e}^{-\frac{\ln \left(\frac{x}{8 x^{2}-10}\right) x +2 \ln \left(\frac{x}{8 x^{2}-10}\right)-6 x}{6 \left(2+x \right)}}$&$46$\\ norman&$\frac{x \ln \left(3\right) {\mathrm e}^{\frac{\left(-x -2\right) \ln \left(\frac{x}{8 x^{2}-10}\right)+6 x}{6 x +12}}+2 \ln \left(3\right) {\mathrm e}^{\frac{\left(-x -2\right) \ln \left(\frac{x}{8 x^{2}-10}\right)+6 x}{6 x +12}}}{2+x}$&$78$\\ \hline \end{longtable}"," ",0,"ln(3)*exp(-1/6*(ln(x/(8*x^2-10))*x+2*ln(x/(8*x^2-10))-6*x)/(2+x))","A"
6330,1,23,24,0.250000," ","int(((-8*x-32)*ln(x)^2+((16*x+64)*ln(1/x)-4*x^2-32*x-64)*ln(x)+(-8*x-32)*ln(1/x)^2+(4*x^2+32*x+64)*ln(1/x)-24*x-96)/(x^3*ln(x)^4-4*x^3*ln(1/x)*ln(x)^3+(6*x^3*ln(1/x)^2+6*x^3)*ln(x)^2+(-4*x^3*ln(1/x)^3-12*x^3*ln(1/x))*ln(x)+x^3*ln(1/x)^4+6*x^3*ln(1/x)^2+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}+8 x +16}{x^{2} \left(4 \ln \left(x \right)^{2}+3\right)}$&$23$\\ \hline \end{longtable}"," ",0,"(x^2+8*x+16)/x^2/(4*ln(x)^2+3)","A"
6331,1,51,26,0.173000," ","int((((-4*x^3-4*x^2-x)*ln(x)-x)*ln(2*x)+(-4*x^3-4*x^2-x)*ln(x)+4*x^3-2*x^2-4*x-1)/(4*x^3+4*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(2\right)}{4 x +2}-x \ln \left(2\right) \ln \left(x \right)+x \ln \left(2\right)-\ln \left(x \right)-x \ln \left(x \right)^{2}+x \ln \left(x \right)-\frac{\ln \left(x \right) x}{2 x +1}$&$51$\\ risch&$-x \ln \left(x \right)^{2}-\frac{\left(-1+4 x^{2} \ln \left(2\right)+2 x \ln \left(2\right)-4 x^{2}-2 x \right) \ln \left(x \right)}{2 \left(2 x +1\right)}-\frac{-8 x^{2} \ln \left(2\right)+12 x \ln \left(x \right)-4 x \ln \left(2\right)+6 \ln \left(x \right)-2 \ln \left(2\right)}{4 \left(2 x +1\right)}$&$77$\\ \hline \end{longtable}"," ",0,"1/2*ln(2)/(2*x+1)-x*ln(2)*ln(x)+x*ln(2)-ln(x)-x*ln(x)^2+x*ln(x)-ln(x)*x/(2*x+1)","A"
6332,1,19,23,0.366000," ","int((x^2-5*x-7)*exp(1/25*ln(2*x^2-14*x)+1/25*x+5)/(25*x^2-175*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{\ln \left(2 x^{2}-14 x \right)}{25}+\frac{x}{25}+5}$&$19$\\ norman&${\mathrm e}^{\frac{\ln \left(2 x^{2}-14 x \right)}{25}+\frac{x}{25}+5}$&$19$\\ risch&$\left(2 x^{2}-14 x \right)^{\frac{1}{25}} {\mathrm e}^{5+\frac{x}{25}}$&$19$\\ \hline \end{longtable}"," ",0,"exp(1/25*ln(2*x^2-14*x)+1/25*x+5)","A"
6333,1,22,25,0.057000," ","int(1/3*(-16*ln(2)^2+96*ln(2)-5*x^2-153)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{5 x}{3}-\frac{-16 \ln \left(2\right)^{2}+96 \ln \left(2\right)-153}{3 x}$&$22$\\ norman&$\frac{-\frac{5 x^{2}}{3}+\frac{16 \ln \left(2\right)^{2}}{3}-32 \ln \left(2\right)+51}{x}$&$22$\\ gosper&$\frac{16 \ln \left(2\right)^{2}-5 x^{2}-96 \ln \left(2\right)+153}{3 x}$&$23$\\ risch&$-\frac{5 x}{3}+\frac{16 \ln \left(2\right)^{2}}{3 x}-\frac{32 \ln \left(2\right)}{x}+\frac{51}{x}$&$26$\\ \hline \end{longtable}"," ",0,"-5/3*x-1/3*(-16*ln(2)^2+96*ln(2)-153)/x","A"
6334,1,6,11,0.009000," ","int(-50/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{25}{x^{2}}$&$6$\\ default&$\frac{25}{x^{2}}$&$6$\\ norman&$\frac{25}{x^{2}}$&$6$\\ risch&$\frac{25}{x^{2}}$&$6$\\ \hline \end{longtable}"," ",0,"25/x^2","A"
6335,1,25,24,0.064000," ","int(-exp(x-4)/(ln(3)^2*ln(-ln(ln(2))-3)-exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{x -4}}{{\mathrm e}^{3}-\ln \left(3\right)^{2} \ln \left(-\ln \left(\ln \left(2\right)\right)-3\right)}$&$25$\\ norman&$\frac{{\mathrm e}^{x -4}}{{\mathrm e}^{3}-\ln \left(3\right)^{2} \ln \left(-\ln \left(\ln \left(2\right)\right)-3\right)}$&$25$\\ derivativedivides&$-\frac{{\mathrm e}^{x -4}}{\ln \left(3\right)^{2} \ln \left(-\ln \left(\ln \left(2\right)\right)-3\right)-{\mathrm e}^{3}}$&$27$\\ default&$-\frac{{\mathrm e}^{x -4}}{\ln \left(3\right)^{2} \ln \left(-\ln \left(\ln \left(2\right)\right)-3\right)-{\mathrm e}^{3}}$&$27$\\ risch&$-\frac{{\mathrm e}^{x -4}}{\ln \left(3\right)^{2} \ln \left(-\ln \left(\ln \left(2\right)\right)-3\right)-{\mathrm e}^{3}}$&$27$\\ meijerg&$\frac{{\mathrm e}^{-4} \left(1-{\mathrm e}^{x}\right)}{\ln \left(3\right)^{2} \ln \left(-\ln \left(\ln \left(2\right)\right)-3\right)-{\mathrm e}^{3}}$&$30$\\ \hline \end{longtable}"," ",0,"exp(x-4)/(exp(3)-ln(3)^2*ln(-ln(ln(2))-3))","A"
6336,1,18,19,0.025000," ","int((exp(x)*x-6*x^6-16*x^4-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)-4 x^{4}-x^{6}+{\mathrm e}^{x}$&$18$\\ norman&$-\ln \left(x \right)-4 x^{4}-x^{6}+{\mathrm e}^{x}$&$18$\\ risch&$-\ln \left(x \right)-4 x^{4}-x^{6}+{\mathrm e}^{x}$&$18$\\ \hline \end{longtable}"," ",0,"-ln(x)-4*x^4-x^6+exp(x)","A"
6337,1,33,21,0.216000," ","int((((-x^2+17*x+60)*exp(x)+5*x^2-85*x-300)*ln((-x^2+17*x+60)*exp(x)+5*x^2-85*x-300)+(x^3-18*x^2-60*x-60)*exp(x)-10*x^3+175*x^2+600*x+300)/((x^2-17*x-60)*exp(x)-5*x^2+85*x+300),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +x^{2}-x \ln \left(\left(-x^{2}+17 x +60\right) {\mathrm e}^{x}+5 x^{2}-85 x -300\right)$&$33$\\ risch&$-x \ln \left(x^{2}-17 x -60\right)-x \ln \left({\mathrm e}^{x}-5\right)+\frac{i \pi  x \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-5\right)\right) \mathrm{csgn}\left(i \left(x^{2}-17 x -60\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-5\right) \left(x^{2}-17 x -60\right)\right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-5\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-5\right) \left(x^{2}-17 x -60\right)\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x^{2}-17 x -60\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-5\right) \left(x^{2}-17 x -60\right)\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i \left({\mathrm e}^{x}-5\right) \left(x^{2}-17 x -60\right)\right)^{3}}{2}+i \pi  x \mathrm{csgn}\left(i \left({\mathrm e}^{x}-5\right) \left(x^{2}-17 x -60\right)\right)^{2}-i x \pi +x^{2}+x$&$184$\\ \hline \end{longtable}"," ",0,"x+x^2-x*ln((-x^2+17*x+60)*exp(x)+5*x^2-85*x-300)","A"
6338,1,587,33,0.384000," ","int((((x^2-6)*exp(x)*exp(2/exp(x))-3*exp(x))*ln(-x*exp(2/exp(x))/((x^2-6)*exp(2/exp(x))-3))+((-x^2+6)*ln(3)-2*x^2+24)*exp(x)*exp(2/exp(x))+(3*ln(3)+12)*exp(x)-6*x)/((x^4-6*x^2)*exp(x)*exp(2/exp(x))-3*exp(x)*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left({\mathrm e}^{2 \,{\mathrm e}^{-x}}\right)}{x}+\frac{-i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 \,{\mathrm e}^{-x}}}{{\mathrm e}^{2 \,{\mathrm e}^{-x}} x^{2}-6 \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}-3}\right) \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}}{{\mathrm e}^{2 \,{\mathrm e}^{-x}} x^{2}-6 \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}-3}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 \,{\mathrm e}^{-x}} x^{2}-6 \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}-3}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{-x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 \,{\mathrm e}^{-x}}}{{\mathrm e}^{2 \,{\mathrm e}^{-x}} x^{2}-6 \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}-3}\right)-i \pi  \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}}{{\mathrm e}^{2 \,{\mathrm e}^{-x}} x^{2}-6 \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}-3}\right)^{3}+2 i \pi  \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}}{{\mathrm e}^{2 \,{\mathrm e}^{-x}} x^{2}-6 \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}-3}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}}{{\mathrm e}^{2 \,{\mathrm e}^{-x}} x^{2}-6 \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}-3}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 \,{\mathrm e}^{-x}} x^{2}-6 \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}-3}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 \,{\mathrm e}^{-x}}}{{\mathrm e}^{2 \,{\mathrm e}^{-x}} x^{2}-6 \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}-3}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{-x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 \,{\mathrm e}^{-x}}}{{\mathrm e}^{2 \,{\mathrm e}^{-x}} x^{2}-6 \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}-3}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 \,{\mathrm e}^{-x}}}{{\mathrm e}^{2 \,{\mathrm e}^{-x}} x^{2}-6 \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}-3}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 \,{\mathrm e}^{-x}}}{{\mathrm e}^{2 \,{\mathrm e}^{-x}} x^{2}-6 \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}-3}\right) \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}}{{\mathrm e}^{2 \,{\mathrm e}^{-x}} x^{2}-6 \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}-3}\right)-2 i \pi +6+2 \ln \left(3\right)-2 \ln \left(x \right)+2 \ln \left({\mathrm e}^{2 \,{\mathrm e}^{-x}} x^{2}-6 \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}-3\right)}{2 x}$&$587$\\ \hline \end{longtable}"," ",0,"-1/x*ln(exp(2*exp(-x)))+1/2*(-I*Pi*csgn(I*exp(2*exp(-x))/(exp(2*exp(-x))*x^2-6*exp(2*exp(-x))-3))*csgn(I*x/(exp(2*exp(-x))*x^2-6*exp(2*exp(-x))-3)*exp(2*exp(-x)))^2+I*Pi*csgn(I/(exp(2*exp(-x))*x^2-6*exp(2*exp(-x))-3))*csgn(I*exp(2*exp(-x)))*csgn(I*exp(2*exp(-x))/(exp(2*exp(-x))*x^2-6*exp(2*exp(-x))-3))-I*Pi*csgn(I*x/(exp(2*exp(-x))*x^2-6*exp(2*exp(-x))-3)*exp(2*exp(-x)))^3+2*I*Pi*csgn(I*x/(exp(2*exp(-x))*x^2-6*exp(2*exp(-x))-3)*exp(2*exp(-x)))^2-I*Pi*csgn(I*x)*csgn(I*x/(exp(2*exp(-x))*x^2-6*exp(2*exp(-x))-3)*exp(2*exp(-x)))^2-I*Pi*csgn(I/(exp(2*exp(-x))*x^2-6*exp(2*exp(-x))-3))*csgn(I*exp(2*exp(-x))/(exp(2*exp(-x))*x^2-6*exp(2*exp(-x))-3))^2-I*Pi*csgn(I*exp(2*exp(-x)))*csgn(I*exp(2*exp(-x))/(exp(2*exp(-x))*x^2-6*exp(2*exp(-x))-3))^2+I*Pi*csgn(I*exp(2*exp(-x))/(exp(2*exp(-x))*x^2-6*exp(2*exp(-x))-3))^3+I*Pi*csgn(I*x)*csgn(I*exp(2*exp(-x))/(exp(2*exp(-x))*x^2-6*exp(2*exp(-x))-3))*csgn(I*x/(exp(2*exp(-x))*x^2-6*exp(2*exp(-x))-3)*exp(2*exp(-x)))-2*I*Pi+6+2*ln(3)-2*ln(x)+2*ln(exp(2*exp(-x))*x^2-6*exp(2*exp(-x))-3))/x","C"
6339,1,35,23,0.363000," ","int(((18*x^7+45*x^4+36*x^3+90)*ln(x^4+2)^5+(162*x^6+324*x^2)*ln(x^4+2)^3-1296*x^6*ln(x^4+2)^2-11664*x^5)/(x^6+2*x^2)/ln(x^4+2)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 x^{3}-45}{x}+\frac{162 x \ln \left(x^{4}+2\right)^{2}+729}{\ln \left(x^{4}+2\right)^{4}}$&$35$\\ \hline \end{longtable}"," ",0,"9*(x^3-5)/x+81*(2*x*ln(x^4+2)^2+9)/ln(x^4+2)^4","A"
6340,1,22,20,0.069000," ","int(((5*x^3-15*x^2)*exp(1)^4-6*x^3+18*x^2-18*x+6)/(5*x^3-15*x^2+15*x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{18 x}{5}+\left({\mathrm e}^{4}-\frac{6}{5}\right) x^{3}-\frac{12}{5}}{\left(x -1\right)^{2}}$&$22$\\ default&$x \,{\mathrm e}^{4}-\frac{6 x}{5}+\frac{3 \,{\mathrm e}^{4}}{x -1}+\frac{{\mathrm e}^{4}}{\left(x -1\right)^{2}}$&$26$\\ risch&$x \,{\mathrm e}^{4}-\frac{6 x}{5}+\frac{3 x \,{\mathrm e}^{4}-2 \,{\mathrm e}^{4}}{x^{2}-2 x +1}$&$30$\\ gosper&$\frac{5 x^{3} {\mathrm e}^{4}-6 x^{3}+18 x -12}{5 x^{2}-10 x +5}$&$32$\\ \hline \end{longtable}"," ",0,"(18/5*x+(exp(1)^4-6/5)*x^3-12/5)/(x-1)^2","A"
6341,1,28,28,0.071000," ","int(((x^3*ln(2)-x^3*exp(2)-2*x^4+x^3)*ln(x^3)^3+50*ln(x^3)+150)/x^3/ln(x^3)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{2} x +x \ln \left(2\right)-x^{2}+x -\frac{25}{\ln \left(x^{3}\right)^{2} x^{2}}$&$28$\\ norman&$\frac{-25+\left(-{\mathrm e}^{2}+\ln \left(2\right)+1\right) x^{3} \ln \left(x^{3}\right)^{2}-x^{4} \ln \left(x^{3}\right)^{2}}{x^{2} \ln \left(x^{3}\right)^{2}}$&$42$\\ \hline \end{longtable}"," ",0,"-exp(2)*x+x*ln(2)-x^2+x-25/ln(x^3)^2/x^2","A"
6342,1,399,27,0.352000," ","int((-4*ln(x*exp(exp(4*x))^2/exp(x)^2)-32*x*exp(4*x)+8*x-16)/(x^2*ln(x*exp(exp(4*x))^2/exp(x)^2)^2+(6*x^2+4*x)*ln(x*exp(exp(4*x))^2/exp(x)^2)+9*x^2+12*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 i}{\pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{4 x}-2 x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{2 \,{\mathrm e}^{4 x}-2 x}\right)-\pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{2 \,{\mathrm e}^{4 x}-2 x}\right)^{2}+\pi  x \mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{4 x}}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{4 x}}\right)-2 \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{{\mathrm e}^{4 x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{4 x}}\right)^{2}+\pi  x \mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{4 x}}\right)^{3}-\pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{4 x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{4 x}-2 x}\right)^{2}+\pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{4 x}}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{4 x}-2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right)+\pi  x \mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{4 x}-2 x}\right)^{3}-\pi  x \mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{4 x}-2 x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right)-\pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{2 \,{\mathrm e}^{4 x}-2 x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{2 \,{\mathrm e}^{4 x}-2 x}\right)^{2}+\pi  x \mathrm{csgn}\left(i x \,{\mathrm e}^{2 \,{\mathrm e}^{4 x}-2 x}\right)^{3}-\pi  x \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+2 \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}-\pi  x \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}+4 i x \ln \left({\mathrm e}^{{\mathrm e}^{4 x}}\right)+6 i x -4 i x \ln \left({\mathrm e}^{x}\right)+2 i x \ln \left(x \right)+4 i}$&$399$\\ \hline \end{longtable}"," ",0,"8*I/(Pi*x*csgn(I*x)*csgn(I*exp(2*exp(4*x)-2*x))*csgn(I*x*exp(2*exp(4*x)-2*x))-Pi*x*csgn(I*x)*csgn(I*x*exp(2*exp(4*x)-2*x))^2+Pi*x*csgn(I*exp(exp(4*x)))^2*csgn(I*exp(2*exp(4*x)))-2*Pi*x*csgn(I*exp(exp(4*x)))*csgn(I*exp(2*exp(4*x)))^2+Pi*x*csgn(I*exp(2*exp(4*x)))^3-Pi*x*csgn(I*exp(2*exp(4*x)))*csgn(I*exp(2*exp(4*x)-2*x))^2+Pi*x*csgn(I*exp(2*exp(4*x)))*csgn(I*exp(2*exp(4*x)-2*x))*csgn(I*exp(-2*x))+Pi*x*csgn(I*exp(2*exp(4*x)-2*x))^3-Pi*x*csgn(I*exp(2*exp(4*x)-2*x))^2*csgn(I*exp(-2*x))-Pi*x*csgn(I*exp(2*exp(4*x)-2*x))*csgn(I*x*exp(2*exp(4*x)-2*x))^2+Pi*x*csgn(I*x*exp(2*exp(4*x)-2*x))^3-Pi*x*csgn(I*exp(x))^2*csgn(I*exp(2*x))+2*Pi*x*csgn(I*exp(x))*csgn(I*exp(2*x))^2-Pi*x*csgn(I*exp(2*x))^3+4*I*x*ln(exp(exp(4*x)))+6*I*x-4*I*x*ln(exp(x))+2*I*x*ln(x)+4*I)","C"
6343,1,29,26,0.060000," ","int((12*x^2*exp(1)*ln(x)+(16*x^3-48*x^2)*exp(1)*exp(x)-4*x^2*exp(1)+4*x^4+16*x^3)/(exp(1)^2*ln(x)^2+(-8*exp(1)^2*exp(x)+(2*x^2+4*x)*exp(1))*ln(x)+16*exp(1)^2*exp(x)^2+(-8*x^2-16*x)*exp(1)*exp(x)+x^4+4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x^{3}}{4 \,{\mathrm e}^{x +1}-{\mathrm e} \ln \left(x \right)-x^{2}-2 x}$&$29$\\ \hline \end{longtable}"," ",0,"-4*x^3/(4*exp(x+1)-exp(1)*ln(x)-x^2-2*x)","A"
6344,1,1157,28,0.546000," ","int((((-3*x^5-21*x^4-36*x^3-84*x^2-96*x)*exp(x)+12*x^5+36*x^4+48*x^3+144*x^2)*ln((x^4+8*x^2+16)/x^2)+(-6*x^4-24*x^3+24*x^2+96*x)*exp(x)+6*x^5+24*x^4-24*x^3-101*x^2-20)/(5*x^2+20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 x^{3} {\mathrm e}^{x} \ln \left(x \right)}{5}-x +\frac{24 x^{2} {\mathrm e}^{x} \ln \left(x \right)}{5}-\frac{24 x^{3} \ln \left(x \right)}{5}+\frac{12 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}}{5}-\frac{3 i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right) {\mathrm e}^{x}}{10}-\frac{6 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right) {\mathrm e}^{x}}{5}+\frac{3 i \pi  \,x^{3} \mathrm{csgn}\left(i \left(x^{2}+4\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right) {\mathrm e}^{x}}{10}+\frac{6 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2}+4\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right) {\mathrm e}^{x}}{5}-\frac{3 i \pi  \,x^{3} \mathrm{csgn}\left(i \left(x^{2}+4\right)\right) \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right)^{2} {\mathrm e}^{x}}{5}-\frac{6 x^{4} \ln \left(x \right)}{5}-\frac{6 i \pi  \,x^{3} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right)^{3}}{5}+\frac{3 i \pi  \,x^{4} \mathrm{csgn}\left(i x^{2}\right)^{3}}{10}+\frac{6 i \pi  \,x^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}}{5}-\frac{3 i \pi  \,x^{4} \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right)^{3}}{10}-\frac{6 i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right)^{3}}{5}-\frac{3 i \pi  \,x^{4} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right)^{3}}{10}+\frac{3 i \pi  \,x^{4} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{10}+\frac{3 i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right)^{3} {\mathrm e}^{x}}{10}+\frac{6 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right)^{3} {\mathrm e}^{x}}{5}+\frac{3 i \pi  \,x^{3} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right)^{3} {\mathrm e}^{x}}{10}+\frac{6 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right)^{3} {\mathrm e}^{x}}{5}-\frac{3 i \pi  \,x^{4} \mathrm{csgn}\left(i \left(x^{2}+4\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right)}{10}-\frac{6 i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}}{5}-\frac{6 i \pi  \,x^{3} \mathrm{csgn}\left(i \left(x^{2}+4\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right)}{5}+\frac{3 i \pi  \,x^{4} \mathrm{csgn}\left(i \left(x^{2}+4\right)\right) \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right)^{2}}{5}+\frac{12 i \pi  \,x^{3} \mathrm{csgn}\left(i \left(x^{2}+4\right)\right) \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right)^{2}}{5}-\frac{3 i \pi  \,x^{3} \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}}{10}-\frac{12 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2}+4\right)\right) \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right)^{2} {\mathrm e}^{x}}{5}-\frac{3 i \pi  \,x^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}}{10}-\frac{3 i \pi  \,x^{3} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right)^{2} {\mathrm e}^{x}}{10}-\frac{3 i \pi  \,x^{4} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right)}{10}-\frac{6 i \pi  \,x^{3} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right)}{5}-\frac{6 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right)^{2} {\mathrm e}^{x}}{5}-\frac{6 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}}{5}+\frac{3 i \pi  \,x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}}{5}+\left(\frac{6 x^{4}}{5}+\frac{24 x^{3}}{5}-\frac{24 \,{\mathrm e}^{x} x^{2}}{5}-\frac{6 \,{\mathrm e}^{x} x^{3}}{5}\right) \ln \left(x^{2}+4\right)+\frac{3 i \pi  \,x^{3} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right) {\mathrm e}^{x}}{10}+\frac{6 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right) {\mathrm e}^{x}}{5}+\frac{6 i \pi  \,x^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{5}-\frac{3 i \pi  \,x^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{5}-\frac{12 i \pi  \,x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{5}+\frac{3 i \pi  \,x^{4} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right)^{2}}{10}+\frac{6 i \pi  \,x^{3} \mathrm{csgn}\left(i \left(x^{2}+4\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right)^{2}}{5}+\frac{3 i \pi  \,x^{4} \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)}{10}+\frac{6 i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i \left(x^{2}+4\right)^{2}}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)}{5}$&$1157$\\ \hline \end{longtable}"," ",0,"6/5*x^3*exp(x)*ln(x)-x+24/5*x^2*exp(x)*ln(x)-24/5*x^3*ln(x)-6/5*x^4*ln(x)-6/5*I*Pi*x^3*csgn(I*(x^2+4)^2)^3+3/10*I*Pi*x^4*csgn(I*x^2)^3+6/5*I*Pi*x^3*csgn(I*x^2)^3-3/10*I*Pi*x^4*csgn(I/x^2*(x^2+4)^2)^3-6/5*I*Pi*x^3*csgn(I/x^2*(x^2+4)^2)^3-3/10*I*Pi*x^4*csgn(I*(x^2+4)^2)^3-12/5*I*Pi*x^2*csgn(I*(x^2+4))*csgn(I*(x^2+4)^2)^2*exp(x)-3/10*I*Pi*x^3*csgn(I*x)^2*csgn(I*x^2)*exp(x)-3/10*I*Pi*x^3*csgn(I*(x^2+4)^2)*csgn(I/x^2*(x^2+4)^2)^2*exp(x)+(6/5*x^4+24/5*x^3-24/5*exp(x)*x^2-6/5*exp(x)*x^3)*ln(x^2+4)-3/10*I*Pi*x^4*csgn(I*(x^2+4)^2)*csgn(I/x^2*(x^2+4)^2)*csgn(I/x^2)-6/5*I*Pi*x^3*csgn(I*(x^2+4)^2)*csgn(I/x^2*(x^2+4)^2)*csgn(I/x^2)-6/5*I*Pi*x^2*csgn(I*(x^2+4)^2)*csgn(I/x^2*(x^2+4)^2)^2*exp(x)+6/5*I*Pi*x^3*csgn(I*x)^2*csgn(I*x^2)-3/5*I*Pi*x^4*csgn(I*x)*csgn(I*x^2)^2-12/5*I*Pi*x^3*csgn(I*x)*csgn(I*x^2)^2+3/10*I*Pi*x^4*csgn(I*(x^2+4)^2)*csgn(I/x^2*(x^2+4)^2)^2+6/5*I*Pi*x^3*csgn(I*(x^2+4)^2)*csgn(I/x^2*(x^2+4)^2)^2+3/10*I*Pi*x^4*csgn(I/x^2*(x^2+4)^2)^2*csgn(I/x^2)+6/5*I*Pi*x^3*csgn(I/x^2*(x^2+4)^2)^2*csgn(I/x^2)+3/10*I*Pi*x^4*csgn(I*x)^2*csgn(I*x^2)+3/10*I*Pi*x^3*csgn(I/x^2*(x^2+4)^2)^3*exp(x)+6/5*I*Pi*x^2*csgn(I/x^2*(x^2+4)^2)^3*exp(x)+3/10*I*Pi*x^3*csgn(I*(x^2+4)^2)^3*exp(x)+6/5*I*Pi*x^2*csgn(I*(x^2+4)^2)^3*exp(x)-3/10*I*Pi*x^4*csgn(I*(x^2+4))^2*csgn(I*(x^2+4)^2)+3/10*I*Pi*x^3*csgn(I*(x^2+4)^2)*csgn(I/x^2*(x^2+4)^2)*csgn(I/x^2)*exp(x)+6/5*I*Pi*x^2*csgn(I*(x^2+4)^2)*csgn(I/x^2*(x^2+4)^2)*csgn(I/x^2)*exp(x)-6/5*I*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)*exp(x)+3/5*I*Pi*x^3*csgn(I*x)*csgn(I*x^2)^2*exp(x)+12/5*I*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2*exp(x)-3/10*I*Pi*x^3*csgn(I/x^2*(x^2+4)^2)^2*csgn(I/x^2)*exp(x)-6/5*I*Pi*x^2*csgn(I/x^2*(x^2+4)^2)^2*csgn(I/x^2)*exp(x)+3/10*I*Pi*x^3*csgn(I*(x^2+4))^2*csgn(I*(x^2+4)^2)*exp(x)+6/5*I*Pi*x^2*csgn(I*(x^2+4))^2*csgn(I*(x^2+4)^2)*exp(x)-3/5*I*Pi*x^3*csgn(I*(x^2+4))*csgn(I*(x^2+4)^2)^2*exp(x)-6/5*I*Pi*x^2*csgn(I*x^2)^3*exp(x)-6/5*I*Pi*x^3*csgn(I*(x^2+4))^2*csgn(I*(x^2+4)^2)+3/5*I*Pi*x^4*csgn(I*(x^2+4))*csgn(I*(x^2+4)^2)^2+12/5*I*Pi*x^3*csgn(I*(x^2+4))*csgn(I*(x^2+4)^2)^2-3/10*I*Pi*x^3*csgn(I*x^2)^3*exp(x)","C"
6345,1,22,22,0.475000," ","int(((exp(x-1)^3+(-9*x-12)*exp(x-1)^2+(27*x^2+72*x+48)*exp(x-1)-27*x^3-108*x^2-144*x-64)*exp(x)+(8*x^3-12*x^2)*exp(x-1)+12*x^3+48*x^2)/(4*exp(x-1)^3+(-36*x-48)*exp(x-1)^2+(108*x^2+288*x+192)*exp(x-1)-108*x^3-432*x^2-576*x-256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}}{4}-\frac{x^{3}}{\left({\mathrm e}^{x -1}-4-3 x \right)^{2}}$&$22$\\ norman&$\frac{\left(-12 \,{\mathrm e}^{4} {\mathrm e}^{x}+18 x^{2} {\mathrm e}^{5}+48 x \,{\mathrm e}^{5}-6 x \,{\mathrm e}^{4} {\mathrm e}^{x}-x^{3} {\mathrm e}^{4}+\frac{{\mathrm e}^{2} {\mathrm e}^{3 x}}{4}-\frac{3 x \,{\mathrm e}^{3} {\mathrm e}^{2 x}}{2}+\frac{9 x^{2} {\mathrm e}^{4} {\mathrm e}^{x}}{4}+32 \,{\mathrm e}^{5}\right) {\mathrm e}^{-2}}{\left(3 x \,{\mathrm e}+4 \,{\mathrm e}-{\mathrm e}^{x}\right)^{2}}$&$103$\\ \hline \end{longtable}"," ",0,"1/4*exp(x)-x^3/(exp(x-1)-4-3*x)^2","A"
6346,1,31,23,0.358000," ","int(((4*exp(1/4*x)^2+(4+x)*exp(1/4*x))*ln(x^4)^2+(32*exp(1/4*x)^2+32*exp(1/4*x))*ln(x^4)+100*exp(1/4*x)^2+(25*x+100)*exp(1/4*x))/(exp(1/4*x)^2+2*exp(1/4*x)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{100 x \,{\mathrm e}^{\frac{x}{4}}+4 \ln \left(x^{4}\right)^{2} x \,{\mathrm e}^{\frac{x}{4}}}{{\mathrm e}^{\frac{x}{4}}+1}$&$31$\\ default&$\frac{\left(4 \left(\ln \left(x^{4}\right)-4 \ln \left(x \right)\right)^{2}+100\right) x \,{\mathrm e}^{\frac{x}{4}}+64 \,{\mathrm e}^{\frac{x}{4}} \ln \left(x \right)^{2} x +32 \,{\mathrm e}^{\frac{x}{4}} \ln \left(x \right) x \left(\ln \left(x^{4}\right)-4 \ln \left(x \right)\right)}{{\mathrm e}^{\frac{x}{4}}+1}$&$61$\\ risch&$\frac{64 x \,{\mathrm e}^{\frac{x}{4}} \ln \left(x \right)^{2}}{{\mathrm e}^{\frac{x}{4}}+1}-\frac{16 i \pi  x \,{\mathrm e}^{\frac{x}{4}} \left(\mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)-\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\mathrm{csgn}\left(i x^{2}\right)^{3}-\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\mathrm{csgn}\left(i x^{3}\right)^{3}-\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\mathrm{csgn}\left(i x^{4}\right)^{3}\right) \ln \left(x \right)}{{\mathrm e}^{\frac{x}{4}}+1}-\frac{x \left(-100-2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{5}-2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{5}-2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x^{3}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x^{3}\right)^{3}+2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x^{4}\right)^{3}+\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{3}\right)^{4}-2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{5}-2 \pi^{2} \mathrm{csgn}\left(i x^{3}\right)^{4} \mathrm{csgn}\left(i x^{4}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i x^{3}\right)^{3} \mathrm{csgn}\left(i x^{4}\right)^{3}+\pi^{2} \mathrm{csgn}\left(i x^{3}\right)^{2} \mathrm{csgn}\left(i x^{4}\right)^{4}-2 \pi^{2} \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{5}+\pi^{2} \mathrm{csgn}\left(i x^{3}\right)^{6}+\pi^{2} \mathrm{csgn}\left(i x^{4}\right)^{6}+2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{3} \mathrm{csgn}\left(i x^{4}\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2} \mathrm{csgn}\left(i x^{4}\right)^{3}+3 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{3}\right)^{2} \mathrm{csgn}\left(i x^{4}\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{3}+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x^{3}\right)+2 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{3}\right)-2 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}-4 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x^{3}\right)+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x^{3}\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x^{4}\right)^{2}-6 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{3}\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{4}\right)^{3}+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{4} \mathrm{csgn}\left(i x^{4}\right)-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2} \mathrm{csgn}\left(i x^{4}\right)^{3}+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{4}+3 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{3}\right)^{2}+4 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{4}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{4}\right)^{3}-2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{3}\right)^{3} \mathrm{csgn}\left(i x^{4}\right)-2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}+\pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-4 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-4 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{3} \mathrm{csgn}\left(i x^{4}\right)+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{3}+\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{3}\right)^{4}+\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{4}\right)^{4}+6 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)-4 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)+2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2} \mathrm{csgn}\left(i x^{4}\right)\right) {\mathrm e}^{\frac{x}{4}}}{{\mathrm e}^{\frac{x}{4}}+1}$&$1515$\\ \hline \end{longtable}"," ",0,"(100*x*exp(1/4*x)+4*ln(x^4)^2*x*exp(1/4*x))/(exp(1/4*x)+1)","A"
6347,1,12,11,0.032000," ","int((((5+x)*exp(x)^2+(25+5*x)*exp(x))*ln(exp(x)+5)+(4+x)*exp(x)^2)/(exp(x)+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{x}+5\right) \left(4+x \right) {\mathrm e}^{x}$&$12$\\ norman&${\mathrm e}^{x} \ln \left({\mathrm e}^{x}+5\right) x +4 \,{\mathrm e}^{x} \ln \left({\mathrm e}^{x}+5\right)$&$20$\\ \hline \end{longtable}"," ",0,"ln(exp(x)+5)*(4+x)*exp(x)","A"
6348,1,13,17,0.079000," ","int((-5*ln(4*x)+4)/(5*x*ln(4*x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\ln \left(\ln \left(4 x \right)+\frac{1}{5}\right)$&$13$\\ derivativedivides&$-\ln \left(4 x \right)+\ln \left(5 \ln \left(4 x \right)+1\right)$&$17$\\ default&$-\ln \left(4 x \right)+\ln \left(5 \ln \left(4 x \right)+1\right)$&$17$\\ norman&$-\ln \left(4 x \right)+\ln \left(5 \ln \left(4 x \right)+1\right)$&$17$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(ln(4*x)+1/5)","A"
6349,1,23,22,0.016000," ","int(-2*exp(x)^2+2*exp(x)*x-2*x+12,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{2 x}+2 \left(x -1\right) {\mathrm e}^{x}-x^{2}+12 x$&$23$\\ default&$-x^{2}+12 x -{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x -2 \,{\mathrm e}^{x}$&$25$\\ norman&$-x^{2}+12 x -{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x -2 \,{\mathrm e}^{x}$&$25$\\ \hline \end{longtable}"," ",0,"-exp(2*x)+2*(x-1)*exp(x)-x^2+12*x","A"
6350,1,26,18,0.055000," ","int(1/5*(2*x+1)*exp(x)^2+1/5*(-2*x-2)*exp(4)*exp(x)+1/5*exp(4)^2-2/5*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}}{5}+\frac{x \,{\mathrm e}^{8}}{5}+\frac{x \,{\mathrm e}^{2 x}}{5}-\frac{2 x \,{\mathrm e}^{4+x}}{5}$&$26$\\ default&$-\frac{x^{2}}{5}+\frac{x \,{\mathrm e}^{8}}{5}+\frac{x \,{\mathrm e}^{2 x}}{5}-\frac{2 x \,{\mathrm e}^{4} {\mathrm e}^{x}}{5}$&$28$\\ norman&$-\frac{x^{2}}{5}+\frac{x \,{\mathrm e}^{8}}{5}+\frac{x \,{\mathrm e}^{2 x}}{5}-\frac{2 x \,{\mathrm e}^{4} {\mathrm e}^{x}}{5}$&$28$\\ \hline \end{longtable}"," ",0,"-1/5*x^2+1/5*x*exp(8)+1/5*x*exp(2*x)-2/5*x*exp(4+x)","A"
6351,1,9,11,0.022000," ","int((-2*x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x -\ln \left(x \right)$&$9$\\ norman&$-2 x -\ln \left(x \right)$&$9$\\ risch&$-2 x -\ln \left(x \right)$&$9$\\ \hline \end{longtable}"," ",0,"-2*x-ln(x)","A"
6352,1,10,20,0.030000," ","int(12*ln(ln(4+exp(5))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$12 \ln \left(\ln \left(4+{\mathrm e}^{5}\right)\right) x$&$10$\\ norman&$12 \ln \left(\ln \left(4+{\mathrm e}^{5}\right)\right) x$&$10$\\ risch&$12 \ln \left(\ln \left(4+{\mathrm e}^{5}\right)\right) x$&$10$\\ \hline \end{longtable}"," ",0,"12*ln(ln(4+exp(5)))*x","A"
6353,1,19,18,0.107000," ","int(1/4*(-4*exp(x)+4*exp(-x+6)-1)*exp(-exp(x)-exp(-x+6)-1/4*x+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-{\mathrm e}^{x}-{\mathrm e}^{-x} {\mathrm e}^{6}-\frac{x}{4}+6}$&$19$\\ risch&${\mathrm e}^{-{\mathrm e}^{x}-{\mathrm e}^{-x +6}-\frac{x}{4}+6}$&$19$\\ \hline \end{longtable}"," ",0,"exp(-exp(x)-1/exp(x)*exp(6)-1/4*x+6)","A"
6354,1,7,13,0.051000," ","int((x+15)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +15 \ln \left(x \right)$&$7$\\ norman&$x +15 \ln \left(x \right)$&$7$\\ risch&$x +15 \ln \left(x \right)$&$7$\\ \hline \end{longtable}"," ",0,"x+15*ln(x)","A"
6355,1,32,32,0.681000," ","int((((1-2*x)*ln(2)^4+(4*x^2+10*x-6)*ln(2)^2-2*x^3-11*x^2-12*x+9)*exp((-x-5)*exp(x)/(ln(2)^2-3-x))+((3*x^2+24*x+36)*ln(2)^2-3*x^3-30*x^2-87*x-78)*exp(x)+3*ln(2)^4+(-6*x-18)*ln(2)^2+3*x^2+18*x+27)/(ln(2)^4+(-2*x-6)*ln(2)^2+x^2+6*x+9)/exp((-x-5)*exp(x)/(ln(2)^2-3-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+x +\left(6+3 x \right) {\mathrm e}^{\frac{\left(5+x \right) {\mathrm e}^{x}}{\ln \left(2\right)^{2}-3-x}}$&$32$\\ norman&$\frac{\left(x^{3} {\mathrm e}^{\frac{\left(-x -5\right) {\mathrm e}^{x}}{\ln \left(2\right)^{2}-3-x}}+\left(-15+3 \ln \left(2\right)^{2}\right) x +\left(\ln \left(2\right)^{4}-6 \ln \left(2\right)^{2}+9\right) {\mathrm e}^{\frac{\left(-x -5\right) {\mathrm e}^{x}}{\ln \left(2\right)^{2}-3-x}}+\left(2-\ln \left(2\right)^{2}\right) x^{2} {\mathrm e}^{\frac{\left(-x -5\right) {\mathrm e}^{x}}{\ln \left(2\right)^{2}-3-x}}-3 x^{2}+6 \ln \left(2\right)^{2}-18\right) {\mathrm e}^{-\frac{\left(-x -5\right) {\mathrm e}^{x}}{\ln \left(2\right)^{2}-3-x}}}{\ln \left(2\right)^{2}-3-x}$&$147$\\ \hline \end{longtable}"," ",0,"-x^2+x+(6+3*x)*exp((5+x)*exp(x)/(ln(2)^2-3-x))","A"
6356,1,14,19,0.073000," ","int(1/27*(-5*x^4-15*x^2)*exp(1/27*x^5+5/27*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{x^{3} \left(x^{2}+5\right)}{27}}$&$14$\\ gosper&$-{\mathrm e}^{\frac{1}{27} x^{5}+\frac{5}{27} x^{3}}$&$15$\\ norman&$-{\mathrm e}^{\frac{1}{27} x^{5}+\frac{5}{27} x^{3}}$&$15$\\ \hline \end{longtable}"," ",0,"-exp(1/27*x^3*(x^2+5))","A"
6357,1,16,15,0.037000," ","int(((x+10)*ln(x)^3+(-3*x-15)*ln(x)^2+exp(x)*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right)^{3} \left(5+x \right)}{x^{2}}+{\mathrm e}^{x}$&$16$\\ default&$-\frac{\ln \left(x \right)^{3}}{x}-\frac{5 \ln \left(x \right)^{3}}{x^{2}}+{\mathrm e}^{x}$&$22$\\ \hline \end{longtable}"," ",0,"-ln(x)^3/x^2*(5+x)+exp(x)","A"
6358,1,44,32,0.073000," ","int((-9*ln(x)^2+(18*exp(5)-12*x+6)*ln(x)-9*exp(5)^2+(12*x-6)*exp(5)+3*x^4-13*x^2+6*x)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{13 x^{2}+3 x^{4}+3 \,{\mathrm e}^{10}+3 \ln \left(x \right)^{2}-6 x \,{\mathrm e}^{5}+6 x \ln \left(x \right)-6 \,{\mathrm e}^{5} \ln \left(x \right)}{x^{3}}$&$44$\\ risch&$\frac{3 \ln \left(x \right)^{2}}{x^{3}}-\frac{6 \left({\mathrm e}^{5}-x \right) \ln \left(x \right)}{x^{3}}+\frac{3 x^{4}+3 \,{\mathrm e}^{10}-6 x \,{\mathrm e}^{5}+13 x^{2}}{x^{3}}$&$48$\\ default&$3 x +\frac{3 \ln \left(x \right)^{2}}{x^{3}}+18 \,{\mathrm e}^{5} \left(-\frac{\ln \left(x \right)}{3 x^{3}}-\frac{1}{9 x^{3}}\right)+\frac{6 \ln \left(x \right)}{x^{2}}+\frac{3 \,{\mathrm e}^{10}}{x^{3}}-\frac{6 \,{\mathrm e}^{5}}{x^{2}}+\frac{13}{x}+\frac{2 \,{\mathrm e}^{5}}{x^{3}}$&$66$\\ \hline \end{longtable}"," ",0,"(13*x^2+3*x^4+3*exp(5)^2+3*ln(x)^2-6*x*exp(5)+6*x*ln(x)-6*exp(5)*ln(x))/x^3","A"
6359,1,16,16,0.176000," ","int(((2*x^4-12*x^2+18)*exp(2+x)+5*x^4-30*x^2-4*x+45)/(2*x^4-12*x^2+18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x}{2}+\frac{1}{x^{2}-3}+{\mathrm e}^{2+x}$&$16$\\ norman&$\frac{x^{2} {\mathrm e}^{2+x}-\frac{15 x}{2}+\frac{5 x^{3}}{2}-3 \,{\mathrm e}^{2+x}+1}{x^{2}-3}$&$33$\\ derivativedivides&$-\frac{13 x}{12 \left(\left(2+x \right)^{2}-7-4 x \right)}+\frac{\frac{22 x}{3}+11}{\left(2+x \right)^{2}-7-4 x}+\frac{-90-\frac{105 x}{2}}{\left(2+x \right)^{2}-7-4 x}-\frac{20 \left(-\frac{15}{2}-\frac{13 x}{3}\right)}{\left(2+x \right)^{2}-7-4 x}+5+\frac{5 x}{2}+\frac{-70-\frac{485 x}{12}}{\left(2+x \right)^{2}-7-4 x}-\frac{{\mathrm e}^{2+x} x}{6 \left(\left(2+x \right)^{2}-7-4 x \right)}+\frac{4 \,{\mathrm e}^{2+x} \left(2 x +3\right)}{3 \left(\left(2+x \right)^{2}-7-4 x \right)}-\frac{3 \,{\mathrm e}^{2+x} \left(12+7 x \right)}{\left(2+x \right)^{2}-7-4 x}+\frac{4 \,{\mathrm e}^{2+x} \left(45+26 x \right)}{3 \left(\left(2+x \right)^{2}-7-4 x \right)}+{\mathrm e}^{2+x}-\frac{{\mathrm e}^{2+x} \left(168+97 x \right)}{6 \left(\left(2+x \right)^{2}-7-4 x \right)}$&$212$\\ default&$-\frac{13 x}{12 \left(\left(2+x \right)^{2}-7-4 x \right)}+\frac{\frac{22 x}{3}+11}{\left(2+x \right)^{2}-7-4 x}+\frac{-90-\frac{105 x}{2}}{\left(2+x \right)^{2}-7-4 x}-\frac{20 \left(-\frac{15}{2}-\frac{13 x}{3}\right)}{\left(2+x \right)^{2}-7-4 x}+5+\frac{5 x}{2}+\frac{-70-\frac{485 x}{12}}{\left(2+x \right)^{2}-7-4 x}-\frac{{\mathrm e}^{2+x} x}{6 \left(\left(2+x \right)^{2}-7-4 x \right)}+\frac{4 \,{\mathrm e}^{2+x} \left(2 x +3\right)}{3 \left(\left(2+x \right)^{2}-7-4 x \right)}-\frac{3 \,{\mathrm e}^{2+x} \left(12+7 x \right)}{\left(2+x \right)^{2}-7-4 x}+\frac{4 \,{\mathrm e}^{2+x} \left(45+26 x \right)}{3 \left(\left(2+x \right)^{2}-7-4 x \right)}+{\mathrm e}^{2+x}-\frac{{\mathrm e}^{2+x} \left(168+97 x \right)}{6 \left(\left(2+x \right)^{2}-7-4 x \right)}$&$212$\\ \hline \end{longtable}"," ",0,"5/2*x+1/(x^2-3)+exp(2+x)","A"
6360,1,21,20,0.298000," ","int((390625*exp(4)^2*ln(1/x)^2+(4687500*x+1175625)*exp(4)*ln(1/x)+1171875*exp(4)+14062500*x^2+22500*x+5634)/(390625*exp(4)^2*ln(1/x)^2+(4687500*x+3750)*exp(4)*ln(1/x)+14062500*x^2+22500*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{1875 x}{625 \,{\mathrm e}^{4} \ln \left(\frac{1}{x}\right)+3750 x +3}$&$21$\\ norman&$\frac{1878 x +3750 x^{2}+625 \,{\mathrm e}^{4} \ln \left(\frac{1}{x}\right) x}{625 \,{\mathrm e}^{4} \ln \left(\frac{1}{x}\right)+3750 x +3}$&$35$\\ \hline \end{longtable}"," ",0,"x+1875*x/(625*exp(4)*ln(1/x)+3750*x+3)","A"
6361,1,28,15,0.052000," ","int(((-15*x*ln(2)+30*x^2+35*x)*ln(x)+(-15*x-20)*ln(2)+15*x^2+35*x+20)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-20 \ln \left(2\right)+20\right) \ln \left(x \right)+\left(-15 \ln \left(2\right)+35\right) x \ln \left(x \right)+15 x^{2} \ln \left(x \right)$&$28$\\ risch&$\left(-15 x \ln \left(2\right)+15 x^{2}+35 x \right) \ln \left(x \right)-20 \ln \left(2\right) \ln \left(x \right)+20 \ln \left(x \right)$&$29$\\ default&$-15 \ln \left(2\right) \left(x \ln \left(x \right)-x \right)+15 x^{2} \ln \left(x \right)+35 x \ln \left(x \right)-15 x \ln \left(2\right)-20 \ln \left(2\right) \ln \left(x \right)+20 \ln \left(x \right)$&$41$\\ \hline \end{longtable}"," ",0,"(-20*ln(2)+20)*ln(x)+(-15*ln(2)+35)*x*ln(x)+15*x^2*ln(x)","A"
6362,1,1475,28,0.646000," ","int(((2*ln(x)*exp(ln(2*ln(2))-x)^2+(6*x+2)*ln(x)*exp(ln(2*ln(2))-x)+2*x^2*ln(x))*ln((x*exp(ln(2*ln(2))-x)+x^2+x)/(exp(ln(2*ln(2))-x)+x))+(x*ln(x)-1)*exp(ln(2*ln(2))-x)^2+((2*x^2+x)*ln(x)-2*x-1)*exp(ln(2*ln(2))-x)+(x^3+x^2)*ln(x)-x^2-x)/(x*ln(x)*exp(ln(2*ln(2))-x)^2+(2*x^2+x)*ln(x)*exp(ln(2*ln(2))-x)+(x^3+x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -2 \ln \left(\ln \left(2\right)\right)^{2}-2 \ln \left(2\right)^{2}-\ln \left(\ln \left(x \right)\right)+\ln \left(x \right)^{2}-i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{2}-i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x \right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right) \mathrm{csgn}\left(\frac{i x \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{2}+i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{2}-i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x \right) \mathrm{csgn}\left(\frac{i}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{2}-i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x \right) \mathrm{csgn}\left(i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{2}+i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{2}+i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right) \mathrm{csgn}\left(\frac{i}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{2}+i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right) \mathrm{csgn}\left(i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{2}+i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right) \mathrm{csgn}\left(\frac{i x \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{2}-i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{3}-i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i x \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{3}+i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x \right) \mathrm{csgn}\left(\frac{i x \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{3}+i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x \right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{3}-i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{3}-i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right) \mathrm{csgn}\left(\frac{i x \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{3}+\ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x \right)^{2}-4 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)+\ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)^{2}+i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{2}-2 \ln \left(x \right) \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x \right)+\left(2 \ln \left(x \right)-2 \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x \right)\right) \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)+i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{2}+i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right) \mathrm{csgn}\left(\frac{i x \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)^{2}+i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right) \mathrm{csgn}\left(\frac{i x \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)-i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right) \mathrm{csgn}\left(\frac{i x \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)-i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right) \mathrm{csgn}\left(\frac{i}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right) \mathrm{csgn}\left(i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)+i \pi  \ln \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x \right) \mathrm{csgn}\left(\frac{i}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right) \mathrm{csgn}\left(i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)-i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right) \mathrm{csgn}\left(\frac{i x \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)-i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right) \mathrm{csgn}\left(i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(2 \ln \left(2\right) {\mathrm e}^{-x}+x +1\right)}{2 \ln \left(2\right) {\mathrm e}^{-x}+x}\right)$&$1475$\\ \hline \end{longtable}"," ",0,"x-2*ln(ln(2))^2-2*ln(2)^2-ln(ln(x))+ln(x)^2+I*Pi*ln(x)*csgn(I/(2*ln(2)*exp(-x)+x))*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^2+I*Pi*ln(x)*csgn(I*(2*ln(2)*exp(-x)+x+1))*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^2+I*Pi*ln(x)*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))*csgn(I*x/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^2-I*Pi*ln(2*ln(2)*exp(-x)+x+1)*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^3-I*Pi*ln(2*ln(2)*exp(-x)+x+1)*csgn(I*x/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^3-I*Pi*ln(x)*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^3-I*Pi*ln(x)*csgn(I*x/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^3+I*Pi*ln(2*ln(2)*exp(-x)+x)*csgn(I*x/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^3+I*Pi*ln(2*ln(2)*exp(-x)+x)*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^3+ln(2*ln(2)*exp(-x)+x)^2-4*ln(2)*ln(ln(2))+I*Pi*ln(2*ln(2)*exp(-x)+x)*csgn(I*x)*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))*csgn(I*x/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))+ln(2*ln(2)*exp(-x)+x+1)^2-2*ln(x)*ln(2*ln(2)*exp(-x)+x)+(2*ln(x)-2*ln(2*ln(2)*exp(-x)+x))*ln(2*ln(2)*exp(-x)+x+1)-I*Pi*ln(2*ln(2)*exp(-x)+x+1)*csgn(I*x)*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))*csgn(I*x/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))-I*Pi*ln(2*ln(2)*exp(-x)+x+1)*csgn(I/(2*ln(2)*exp(-x)+x))*csgn(I*(2*ln(2)*exp(-x)+x+1))*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))+I*Pi*ln(2*ln(2)*exp(-x)+x)*csgn(I/(2*ln(2)*exp(-x)+x))*csgn(I*(2*ln(2)*exp(-x)+x+1))*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))-I*Pi*ln(x)*csgn(I*x)*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))*csgn(I*x/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))-I*Pi*ln(x)*csgn(I/(2*ln(2)*exp(-x)+x))*csgn(I*(2*ln(2)*exp(-x)+x+1))*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))-I*Pi*ln(2*ln(2)*exp(-x)+x)*csgn(I*x)*csgn(I*x/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^2-I*Pi*ln(2*ln(2)*exp(-x)+x)*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))*csgn(I*x/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^2+I*Pi*ln(x)*csgn(I*x)*csgn(I*x/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^2-I*Pi*ln(2*ln(2)*exp(-x)+x)*csgn(I/(2*ln(2)*exp(-x)+x))*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^2-I*Pi*ln(2*ln(2)*exp(-x)+x)*csgn(I*(2*ln(2)*exp(-x)+x+1))*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^2+I*Pi*ln(2*ln(2)*exp(-x)+x+1)*csgn(I*x)*csgn(I*x/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^2+I*Pi*ln(2*ln(2)*exp(-x)+x+1)*csgn(I/(2*ln(2)*exp(-x)+x))*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^2+I*Pi*ln(2*ln(2)*exp(-x)+x+1)*csgn(I*(2*ln(2)*exp(-x)+x+1))*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^2+I*Pi*ln(2*ln(2)*exp(-x)+x+1)*csgn(I/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))*csgn(I*x/(2*ln(2)*exp(-x)+x)*(2*ln(2)*exp(-x)+x+1))^2","C"
6363,1,28,18,0.697000," ","int(((ln(2)^2+144*x)*ln((x*ln(2)^2+144*x^2)/ln(2)^2)+(ln(2)^2+144*x)*ln(x)+144*x)/(ln(2)^2+144*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x \ln \left(\ln \left(2\right)\right)+x \ln \left(x \right)+x \ln \left(x \left(\ln \left(2\right)^{2}+144 x \right)\right)-2 x$&$28$\\ norman&$x \ln \left(x \right)+x \ln \left(\frac{x \ln \left(2\right)^{2}+144 x^{2}}{\ln \left(2\right)^{2}}\right)-2 x$&$29$\\ risch&$x \ln \left(\ln \left(2\right)^{2}+144 x \right)+2 x \ln \left(x \right)-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\ln \left(2\right)^{2}+144 x \right)\right) \mathrm{csgn}\left(i x \left(\ln \left(2\right)^{2}+144 x \right)\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\ln \left(2\right)^{2}+144 x \right)\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(\ln \left(2\right)^{2}+144 x \right)\right) \mathrm{csgn}\left(i x \left(\ln \left(2\right)^{2}+144 x \right)\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i x \left(\ln \left(2\right)^{2}+144 x \right)\right)^{3}}{2}-2 x \ln \left(\ln \left(2\right)\right)-2 x$&$139$\\ \hline \end{longtable}"," ",0,"-2*x*ln(ln(2))+x*ln(x)+x*ln(x*(ln(2)^2+144*x))-2*x","A"
6364,1,24,16,0.509000," ","int(((5*2^(2/5)+10*x+2)*ln(2^(2/5)+2*x+2/5)+10*x+25)/(5*2^(2/5)+10*x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(2^{\frac{2}{5}}+2 x +\frac{2}{5}\right) x +\frac{5 \ln \left(2^{\frac{2}{5}}+2 x +\frac{2}{5}\right)}{2}$&$24$\\ risch&$\ln \left(2^{\frac{2}{5}}+2 x +\frac{2}{5}\right) x +\frac{5 \ln \left(5 \,2^{\frac{2}{5}}+10 x +2\right)}{2}$&$26$\\ derivativedivides&$\frac{\left(2^{\frac{2}{5}}+2 x +\frac{2}{5}\right) \ln \left(2^{\frac{2}{5}}+2 x +\frac{2}{5}\right)}{2}-\frac{2^{\frac{2}{5}} \ln \left(2^{\frac{2}{5}}+2 x +\frac{2}{5}\right)}{2}+\frac{23 \ln \left(2^{\frac{2}{5}}+2 x +\frac{2}{5}\right)}{10}$&$46$\\ default&$\frac{\left(2^{\frac{2}{5}}+2 x +\frac{2}{5}\right) \ln \left(2^{\frac{2}{5}}+2 x +\frac{2}{5}\right)}{2}-\frac{2^{\frac{2}{5}} \ln \left(2^{\frac{2}{5}}+2 x +\frac{2}{5}\right)}{2}+\frac{23 \ln \left(2^{\frac{2}{5}}+2 x +\frac{2}{5}\right)}{10}$&$46$\\ \hline \end{longtable}"," ",0,"ln(2^(2/5)+2*x+2/5)*x+5/2*ln(2^(2/5)+2*x+2/5)","A"
6365,1,29,28,0.096000," ","int((x*exp(x)^2*exp(x+1)*ln(1/3*x)^3+24*x*exp(x)*exp(4*x)*ln(1/3*x)^2+(-6*x*exp(4*x)^2-8*exp(x)*exp(4*x))*ln(1/3*x)+2*exp(4*x)^2)/x/exp(x)^2/ln(1/3*x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x +1}-\frac{{\mathrm e}^{3 x} \left({\mathrm e}^{3 x}-8 \ln \left(\frac{x}{3}\right)\right)}{\ln \left(\frac{x}{3}\right)^{2}}$&$29$\\ \hline \end{longtable}"," ",0,"exp(x+1)-exp(3*x)*(exp(3*x)-8*ln(1/3*x))/ln(1/3*x)^2","A"
6366,1,21,21,0.146000," ","int((-x^2*exp(x+1)+25*x^6-x^2+1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x^{5}-x -\frac{1}{x}-{\mathrm e}^{x +1}$&$21$\\ norman&$\frac{-1-x^{2}+5 x^{6}-x \,{\mathrm e}^{x +1}}{x}$&$24$\\ derivativedivides&$-\frac{1}{x}+24 x +24-50 \left(x +1\right)^{2}+50 \left(x +1\right)^{3}-25 \left(x +1\right)^{4}+5 \left(x +1\right)^{5}-{\mathrm e}^{x +1}$&$45$\\ default&$-\frac{1}{x}+24 x +24-50 \left(x +1\right)^{2}+50 \left(x +1\right)^{3}-25 \left(x +1\right)^{4}+5 \left(x +1\right)^{5}-{\mathrm e}^{x +1}$&$45$\\ \hline \end{longtable}"," ",0,"5*x^5-x-1/x-exp(x+1)","A"
6367,1,11,11,0.031000," ","int((3+x)*ln(5)*exp(x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x} \left(2+x \right) \ln \left(5\right)+x$&$11$\\ default&$x +x \,{\mathrm e}^{x} \ln \left(5\right)+2 \,{\mathrm e}^{x} \ln \left(5\right)$&$15$\\ norman&$x +x \,{\mathrm e}^{x} \ln \left(5\right)+2 \,{\mathrm e}^{x} \ln \left(5\right)$&$15$\\ \hline \end{longtable}"," ",0,"exp(x)*(2+x)*ln(5)+x","A"
6368,1,38,26,0.086000," ","int((-150*exp(x)^2+(5*exp(2/3*x)+300*x+75)*exp(x)+(10*x-15)*exp(2/3*x)-150*x^2-75)/(400*exp(x)^2*x^2+(80*x*exp(2/3*x)-800*x^3+400*x)*exp(x)+4*exp(2/3*x)^2+(-80*x^2+40)*exp(2/3*x)+400*x^4-400*x^2+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{8 x}+\frac{\frac{3 \,{\mathrm e}^{\frac{2 x}{3}}}{8}+\frac{15}{8}}{x \left(-10 \,{\mathrm e}^{x} x +10 x^{2}-{\mathrm e}^{\frac{2 x}{3}}-5\right)}$&$38$\\ \hline \end{longtable}"," ",0,"3/8/x+3/8*(exp(2/3*x)+5)/x/(-10*exp(x)*x+10*x^2-exp(2/3*x)-5)","A"
6369,1,28,26,0.079000," ","int((-2*x^3*exp(x)*exp(x^2-x)+(x^5+3*x^4+x^2-5*x+5)*exp(x))*exp((-x*exp(x)*exp(x^2-x)+(x^4+x-5)*exp(x))/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-{\mathrm e}^{x^{2}} x +{\mathrm e}^{x} x^{4}+{\mathrm e}^{x} x -5 \,{\mathrm e}^{x}}{x}}$&$28$\\ \hline \end{longtable}"," ",0,"exp((-exp(x^2)*x+exp(x)*x^4+exp(x)*x-5*exp(x))/x)","A"
6370,1,20,18,0.057000," ","int((((-8*x*exp(x)^2+4)*ln(x)-4)*exp(exp(x)^2)+144)/(ln(x)^2*exp(exp(x)^2)^2+(-8*x+72)*ln(x)*exp(exp(x)^2)+16*x^2-288*x+1296),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x}{-\ln \left(x \right) {\mathrm e}^{{\mathrm e}^{2 x}}+4 x -36}$&$20$\\ \hline \end{longtable}"," ",0,"-4*x/(-ln(x)*exp(exp(2*x))+4*x-36)","A"
6371,1,13,14,0.045000," ","int(exp(1)+32*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$16 x^{2}+\left({\mathrm e}-1\right) x$&$13$\\ gosper&$x \,{\mathrm e}+16 x^{2}-x$&$14$\\ default&$x \,{\mathrm e}+16 x^{2}-x$&$14$\\ risch&$x \,{\mathrm e}+16 x^{2}-x$&$14$\\ \hline \end{longtable}"," ",0,"16*x^2+(exp(1)-1)*x","A"
6372,1,24,26,0.215000," ","int((-5*exp(5*x)^2+(10*x^3-15*x^2-32*x+9)*exp(5*x)-5*x^6-4*x^4+18*x^3-5*x^2)/((5*x+15)*exp(5*x)^2+(-10*x^4-30*x^3-10*x^2-30*x)*exp(5*x)+5*x^7+15*x^6+10*x^5+30*x^4+5*x^3+15*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{3 x}{5 \left(x^{3}+x -{\mathrm e}^{5 x}\right)}-\ln \left(3+x \right)$&$24$\\ risch&$-\frac{3 x}{5 \left(x^{3}+x -{\mathrm e}^{5 x}\right)}-\ln \left(3+x \right)$&$24$\\ \hline \end{longtable}"," ",0,"-3/5*x/(x^3+x-exp(5*x))-ln(3+x)","A"
6373,1,1010,24,0.611000," ","int(((-25*x^3+50*x-100)*exp(x)*ln((2+x)/x)^2+(100*x-100)*exp(x)*ln((2+x)/x)+2*x^4+4*x^3)/(2*x^4+4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{25 \left(x -1\right) {\mathrm e}^{x} \ln \left(2+x \right)^{2}}{2 x^{2}}+\frac{25 \,{\mathrm e}^{x} \left(i \pi  x \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{3}-i \pi  x \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)-i \pi  x \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)+i \pi  x \,\mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(2+x \right)\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+i \pi  \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(2+x \right)\right)+2 x \ln \left(x \right)-2 \ln \left(x \right)\right) \ln \left(2+x \right)}{2 x^{2}}+\frac{-100 x \,{\mathrm e}^{x} \ln \left(x \right)^{2}-100 i {\mathrm e}^{x} \pi  x \,\mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(2+x \right)\right) \ln \left(x \right)+8 x^{3}+100 \,{\mathrm e}^{x} \ln \left(x \right)^{2}-25 \,{\mathrm e}^{x} \pi^{2} \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{4} \mathrm{csgn}\left(i \left(2+x \right)\right)^{2}+50 \,{\mathrm e}^{x} \pi^{2} \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{5} \mathrm{csgn}\left(\frac{i}{x}\right)+50 \,{\mathrm e}^{x} \pi^{2} \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{5} \mathrm{csgn}\left(i \left(2+x \right)\right)+25 \,{\mathrm e}^{x} \pi^{2} x \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{6}-25 \,{\mathrm e}^{x} \pi^{2} \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{4} \mathrm{csgn}\left(\frac{i}{x}\right)^{2}-25 \,{\mathrm e}^{x} \pi^{2} \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{6}-100 i {\mathrm e}^{x} \pi  x \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{3} \ln \left(x \right)-100 i {\mathrm e}^{x} \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)-100 i {\mathrm e}^{x} \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)-50 \,{\mathrm e}^{x} \pi^{2} x \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{3} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)+100 \,{\mathrm e}^{x} \pi^{2} x \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{4} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(2+x \right)\right)-50 \,{\mathrm e}^{x} \pi^{2} x \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{3} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(2+x \right)\right)^{2}+25 \,{\mathrm e}^{x} \pi^{2} x \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)^{2}+25 \,{\mathrm e}^{x} \pi^{2} x \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{4} \mathrm{csgn}\left(\frac{i}{x}\right)^{2}+25 \,{\mathrm e}^{x} \pi^{2} x \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{4} \mathrm{csgn}\left(i \left(2+x \right)\right)^{2}-50 \,{\mathrm e}^{x} \pi^{2} x \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{5} \mathrm{csgn}\left(\frac{i}{x}\right)-50 \,{\mathrm e}^{x} \pi^{2} x \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{5} \mathrm{csgn}\left(i \left(2+x \right)\right)-25 \,{\mathrm e}^{x} \pi^{2} \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)^{2}+50 \,{\mathrm e}^{x} \pi^{2} \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{3} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right)+50 \,{\mathrm e}^{x} \pi^{2} \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{3} \mathrm{csgn}\left(i \left(2+x \right)\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)-100 \,{\mathrm e}^{x} \pi^{2} \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{4} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(2+x \right)\right)+100 i {\mathrm e}^{x} \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{3}+100 i {\mathrm e}^{x} \pi  x \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \ln \left(x \right)+100 i {\mathrm e}^{x} \pi  x \mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right)^{2} \mathrm{csgn}\left(i \left(2+x \right)\right) \ln \left(x \right)+100 i {\mathrm e}^{x} \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i \left(2+x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(2+x \right)\right)}{8 x^{2}}$&$1010$\\ \hline \end{longtable}"," ",0,"-25/2/x^2*(x-1)*exp(x)*ln(2+x)^2+25/2*exp(x)*(I*Pi*x*csgn(I/x*(2+x))^3-I*Pi*x*csgn(I/x*(2+x))^2*csgn(I/x)-I*Pi*x*csgn(I/x*(2+x))^2*csgn(I*(2+x))+I*Pi*x*csgn(I/x*(2+x))*csgn(I/x)*csgn(I*(2+x))-I*Pi*csgn(I/x*(2+x))^3+I*Pi*csgn(I/x*(2+x))^2*csgn(I/x)+I*Pi*csgn(I/x*(2+x))^2*csgn(I*(2+x))-I*Pi*csgn(I/x*(2+x))*csgn(I/x)*csgn(I*(2+x))+2*x*ln(x)-2*ln(x))/x^2*ln(2+x)+1/8*(-100*x*exp(x)*ln(x)^2-25*exp(x)*Pi^2*csgn(I/x*(2+x))^6+8*x^3+100*exp(x)*ln(x)^2-25*exp(x)*Pi^2*csgn(I/x*(2+x))^4*csgn(I*(2+x))^2+50*exp(x)*Pi^2*csgn(I/x*(2+x))^5*csgn(I/x)+50*exp(x)*Pi^2*csgn(I/x*(2+x))^5*csgn(I*(2+x))+25*exp(x)*Pi^2*x*csgn(I/x*(2+x))^6-25*exp(x)*Pi^2*csgn(I/x*(2+x))^4*csgn(I/x)^2+25*exp(x)*Pi^2*x*csgn(I/x*(2+x))^4*csgn(I/x)^2+25*exp(x)*Pi^2*x*csgn(I/x*(2+x))^4*csgn(I*(2+x))^2-50*exp(x)*Pi^2*x*csgn(I/x*(2+x))^5*csgn(I/x)-50*exp(x)*Pi^2*x*csgn(I/x*(2+x))^5*csgn(I*(2+x))-25*exp(x)*Pi^2*csgn(I/x*(2+x))^2*csgn(I/x)^2*csgn(I*(2+x))^2+50*exp(x)*Pi^2*csgn(I/x*(2+x))^3*csgn(I/x)^2*csgn(I*(2+x))+50*exp(x)*Pi^2*csgn(I/x*(2+x))^3*csgn(I*(2+x))^2*csgn(I/x)-100*exp(x)*Pi^2*csgn(I/x*(2+x))^4*csgn(I/x)*csgn(I*(2+x))+100*I*exp(x)*ln(x)*Pi*csgn(I/x*(2+x))^3-100*I*exp(x)*Pi*x*csgn(I/x*(2+x))*csgn(I/x)*csgn(I*(2+x))*ln(x)+100*I*exp(x)*Pi*x*csgn(I/x*(2+x))^2*csgn(I/x)*ln(x)-100*I*exp(x)*Pi*x*csgn(I/x*(2+x))^3*ln(x)-100*I*exp(x)*ln(x)*Pi*csgn(I/x*(2+x))^2*csgn(I/x)-100*I*exp(x)*ln(x)*Pi*csgn(I/x*(2+x))^2*csgn(I*(2+x))-50*exp(x)*Pi^2*x*csgn(I/x*(2+x))^3*csgn(I/x)^2*csgn(I*(2+x))+100*exp(x)*Pi^2*x*csgn(I/x*(2+x))^4*csgn(I/x)*csgn(I*(2+x))-50*exp(x)*Pi^2*x*csgn(I/x*(2+x))^3*csgn(I/x)*csgn(I*(2+x))^2+25*exp(x)*Pi^2*x*csgn(I/x*(2+x))^2*csgn(I/x)^2*csgn(I*(2+x))^2+100*I*exp(x)*Pi*x*csgn(I/x*(2+x))^2*csgn(I*(2+x))*ln(x)+100*I*exp(x)*ln(x)*Pi*csgn(I/x*(2+x))*csgn(I/x)*csgn(I*(2+x)))/x^2","C"
6374,1,8,9,0.020000," ","int(-exp(x)*exp(-exp(x)+7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{-{\mathrm e}^{x}+7}$&$8$\\ default&${\mathrm e}^{-{\mathrm e}^{x}+7}$&$8$\\ norman&${\mathrm e}^{-{\mathrm e}^{x}+7}$&$8$\\ risch&${\mathrm e}^{-{\mathrm e}^{x}+7}$&$8$\\ \hline \end{longtable}"," ",0,"exp(-exp(x)+7)","A"
6375,1,29,28,0.247000," ","int(1/45*(-36*exp(1/2/x)^2+(-24*x^2+12*x+528)*exp(1/2/x)+8*x^3+352*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x^{2}}{45}+\frac{4 \,{\mathrm e}^{\frac{1}{x}}}{5}+\frac{352 x}{45}+\frac{\left(-1056-24 x \right) {\mathrm e}^{\frac{1}{2 x}}}{45}$&$29$\\ derivativedivides&$\frac{4 x^{2}}{45}+\frac{352 x}{45}+\frac{4 \,{\mathrm e}^{\frac{1}{x}}}{5}-\frac{8 \,{\mathrm e}^{\frac{1}{2 x}} x}{15}-\frac{352 \,{\mathrm e}^{\frac{1}{2 x}}}{15}$&$37$\\ default&$\frac{4 x^{2}}{45}+\frac{352 x}{45}+\frac{4 \,{\mathrm e}^{\frac{1}{x}}}{5}-\frac{8 \,{\mathrm e}^{\frac{1}{2 x}} x}{15}-\frac{352 \,{\mathrm e}^{\frac{1}{2 x}}}{15}$&$37$\\ norman&$\frac{\frac{352 x^{2}}{45}+\frac{4 x^{3}}{45}-\frac{352 \,{\mathrm e}^{\frac{1}{2 x}} x}{15}-\frac{8 \,{\mathrm e}^{\frac{1}{2 x}} x^{2}}{15}+\frac{4 x \,{\mathrm e}^{\frac{1}{x}}}{5}}{x}$&$47$\\ \hline \end{longtable}"," ",0,"4/45*x^2+4/5*exp(1/x)+352/45*x+1/45*(-1056-24*x)*exp(1/2/x)","A"
6376,1,30,28,0.482000," ","int(((-15*x^4+20*x^3)*exp(x^2/(3*x-2))+900*x^2-1200*x+400)/((9*x^4-12*x^3+4*x^2)*exp(exp(5))^2+((18*x^4-24*x^3+8*x^2)*exp(x^2/(3*x-2))+180*x^4+120*x^3-400*x^2+160*x)*exp(exp(5))+(9*x^4-12*x^3+4*x^2)*exp(x^2/(3*x-2))^2+(180*x^4+120*x^3-400*x^2+160*x)*exp(x^2/(3*x-2))+900*x^4+2400*x^3-800*x^2-3200*x+1600),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x}{x \,{\mathrm e}^{\frac{x^{2}}{3 x -2}}+x \,{\mathrm e}^{{\mathrm e}^{5}}+10 x +20}$&$30$\\ norman&$\frac{15 x^{2}-10 x}{\left(3 x -2\right) \left(x \,{\mathrm e}^{\frac{x^{2}}{3 x -2}}+x \,{\mathrm e}^{{\mathrm e}^{5}}+10 x +20\right)}$&$44$\\ \hline \end{longtable}"," ",0,"5*x/(x*exp(x^2/(3*x-2))+x*exp(exp(5))+10*x+20)","A"
6377,1,11,16,0.381000," ","int(8*ln(1/4*(4+x)/x)/(x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\ln \left(\frac{1}{4}+\frac{1}{x}\right)^{2}$&$11$\\ default&$-\ln \left(\frac{1}{4}+\frac{1}{x}\right)^{2}$&$11$\\ risch&$-\ln \left(\frac{1}{4}+\frac{1}{x}\right)^{2}$&$11$\\ norman&$-\ln \left(\frac{4+x}{4 x}\right)^{2}$&$14$\\ \hline \end{longtable}"," ",0,"-ln(1/4+1/x)^2","A"
6378,1,22,14,0.527000," ","int(((16*ln(ln(50))^2+8*x*ln(ln(50))+x^2-4)*ln(16*ln(ln(50))^2+8*x*ln(ln(50))+x^2-4)+8*x*ln(ln(50))+2*x^2)/(16*ln(ln(50))^2+8*x*ln(ln(50))+x^2-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(16 \ln \left(\ln \left(50\right)\right)^{2}+8 x \ln \left(\ln \left(50\right)\right)+x^{2}-4\right)$&$22$\\ norman&$x \ln \left(16 \ln \left(\ln \left(50\right)\right)^{2}+8 x \ln \left(\ln \left(50\right)\right)+x^{2}-4\right)$&$22$\\ risch&$x \ln \left(16 \ln \left(\ln \left(2\right)+2 \ln \left(5\right)\right)^{2}+8 x \ln \left(\ln \left(2\right)+2 \ln \left(5\right)\right)+x^{2}-4\right)$&$32$\\ \hline \end{longtable}"," ",0,"x*ln(16*ln(ln(50))^2+8*x*ln(ln(50))+x^2-4)","A"
6379,1,26,30,0.068000," ","int(((-3*x^2+43)*ln(3)+2*x^2-48)/x^2/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-3 x \ln \left(3\right)+2 x -\frac{43 \ln \left(3\right)-48}{x}}{\ln \left(3\right)}$&$26$\\ risch&$-3 x +\frac{2 x}{\ln \left(3\right)}-\frac{43}{x}+\frac{48}{x \ln \left(3\right)}$&$26$\\ gosper&$-\frac{3 x^{2} \ln \left(3\right)-2 x^{2}+43 \ln \left(3\right)-48}{\ln \left(3\right) x}$&$28$\\ norman&$\frac{-\frac{43 \ln \left(3\right)-48}{\ln \left(3\right)}-\frac{\left(3 \ln \left(3\right)-2\right) x^{2}}{\ln \left(3\right)}}{x}$&$33$\\ \hline \end{longtable}"," ",0,"1/ln(3)*(-3*x*ln(3)+2*x-(43*ln(3)-48)/x)","A"
6380,1,46,32,0.725000," ","int(((((2*x^3-8*x^2+x)*exp(2)-6*x^4+24*x^3-3*x^2)*exp(x^2)+exp(2)-3*x)*ln(3*exp(4)/(exp(2)-3*x))-3*x)/((2*x^2*exp(2)-6*x^3)*exp((x-4)*exp(x^2))+(-exp(2)*x+3*x^2)*ln(3*exp(4)/(exp(2)-3*x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\left(x -4\right) {\mathrm e}^{x^{2}}+\ln \left({\mathrm e}^{\left(x -4\right) {\mathrm e}^{x^{2}}}+\frac{i \left(2 i \ln \left(3\right)-2 i \ln \left({\mathrm e}^{2}-3 x \right)+8 i\right)}{4 x}\right)$&$46$\\ \hline \end{longtable}"," ",0,"-(x-4)*exp(x^2)+ln(exp((x-4)*exp(x^2))+1/4*I*(2*I*ln(3)-2*I*ln(exp(2)-3*x)+8*I)/x)","C"
6381,1,9,8,0.061000," ","int(-25/51*ln(3)-50/51*x+125/51,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{25 x \left(\ln \left(3\right)-5+x \right)}{51}$&$9$\\ default&$-\frac{25 x \ln \left(3\right)}{51}-\frac{25 x^{2}}{51}+\frac{125 x}{51}$&$15$\\ norman&$\left(-\frac{25 \ln \left(3\right)}{51}+\frac{125}{51}\right) x -\frac{25 x^{2}}{51}$&$15$\\ risch&$-\frac{25 x \ln \left(3\right)}{51}-\frac{25 x^{2}}{51}+\frac{125 x}{51}$&$15$\\ \hline \end{longtable}"," ",0,"-25/51*x*(ln(3)-5+x)","A"
6382,1,23,23,0.063000," ","int((2*x*ln(x)*ln(ln(x))*ln(-5*ln(ln(x))/(4*exp(4)-8)/exp(5))-2*x)/ln(x)/ln(ln(x))/ln(-5*ln(ln(x))/(4*exp(4)-8)/exp(5))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{\ln \left(-\frac{5 \ln \left(\ln \left(x \right)\right) {\mathrm e}^{-5}}{4 \,{\mathrm e}^{4}-8}\right)^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"x^2/ln(-5*ln(ln(x))/(4*exp(4)-8)*exp(-5))^2","A"
6383,1,78,27,0.186000," ","int(((-x-2)*ln(x)+ln(x/(2*x+4))*(2+x)+5)*ln(ln(5))/(((25*x+50)*ln(x)+(-25*x-50)*ln(x/(2*x+4)))*ln(-ln(x)+ln(x/(2*x+4)))^2+((-10*x^2+230*x+500)*ln(x)+(10*x^2-230*x-500)*ln(x/(2*x+4)))*ln(-ln(x)+ln(x/(2*x+4)))+(x^3-48*x^2+525*x+1250)*ln(x)+(-x^3+48*x^2-525*x-1250)*ln(x/(2*x+4))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(5\right)\right)}{x -5 \ln \left(-\ln \left(2\right)-\ln \left(2+x \right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x}{2+x}\right) \left(-\mathrm{csgn}\left(\frac{i x}{2+x}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(\frac{i x}{2+x}\right)+\mathrm{csgn}\left(\frac{i}{2+x}\right)\right)}{2}\right)-25}$&$78$\\ \hline \end{longtable}"," ",0,"ln(ln(5))/(x-5*ln(-ln(2)-ln(2+x)-1/2*I*Pi*csgn(I*x/(2+x))*(-csgn(I*x/(2+x))+csgn(I*x))*(-csgn(I*x/(2+x))+csgn(I/(2+x))))-25)","C"
6384,1,22,22,0.380000," ","int((((-10*x-5)*ln(x)+10*x+5)*ln(10*x+5)*exp(ln(x)/x)+(-10*x^2-5*x)*ln(10*x+5)-10*x^2)/(2*x^3+x^2)/ln(10*x+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x^{\frac{1}{x}}-5 \ln \left(x \right)-5 \ln \left(\ln \left(10 x +5\right)\right)$&$22$\\ default&$5 \,{\mathrm e}^{\frac{\ln \left(x \right)}{x}}-5 \ln \left(x \right)-5 \ln \left(\ln \left(10 x +5\right)\right)$&$24$\\ \hline \end{longtable}"," ",0,"5*x^(1/x)-5*ln(x)-5*ln(ln(10*x+5))","A"
6385,1,30,28,0.079000," ","int(((exp(x)+10*x)*exp(x-exp(x))-10*x^5+19*x^4+6*x^3-16*x^2-x+1)/(exp(x-exp(x))-x^4+2*x^3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$5 x^{2}+x -\ln \left(x^{4}-2 x^{3}+x -{\mathrm e}^{x -{\mathrm e}^{x}}\right)$&$30$\\ risch&$5 x^{2}+x -\ln \left({\mathrm e}^{x -{\mathrm e}^{x}}-x^{4}+2 x^{3}-x \right)$&$32$\\ \hline \end{longtable}"," ",0,"5*x^2+x-ln(x^4-2*x^3+x-exp(x-exp(x)))","A"
6386,1,27,24,0.099000," ","int(((4*ln(3)*ln(x)+ln(3))*exp(ln(x)^2)^2+(-2*x+5)*ln(3)+2*x)/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \,{\mathrm e}^{2 \ln \left(x \right)^{2}}+5 x -\frac{\left(\ln \left(3\right)-1\right) x^{2}}{\ln \left(3\right)}$&$27$\\ risch&$-x^{2}+5 x +x \,{\mathrm e}^{2 \ln \left(x \right)^{2}}+\frac{x^{2}}{\ln \left(3\right)}$&$27$\\ default&$\frac{-x^{2} \ln \left(3\right)+5 x \ln \left(3\right)+x \ln \left(3\right) {\mathrm e}^{2 \ln \left(x \right)^{2}}+x^{2}}{\ln \left(3\right)}$&$33$\\ \hline \end{longtable}"," ",0,"x*exp(ln(x)^2)^2+5*x-(ln(3)-1)/ln(3)*x^2","A"
6387,1,7,11,0.410000," ","int((2*x-2)/(x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\left(x -2\right) x \right)$&$7$\\ norman&$\ln \left(x \right)+\ln \left(x -2\right)$&$8$\\ derivativedivides&$\ln \left(x^{2}-2 x \right)$&$9$\\ risch&$\ln \left(x^{2}-2 x \right)$&$9$\\ meijerg&$\ln \left(1-\frac{x}{2}\right)+\ln \left(x \right)-\ln \left(2\right)+i \pi$&$18$\\ \hline \end{longtable}"," ",0,"ln((x-2)*x)","A"
6388,1,321,29,0.263000," ","int((((exp(exp(2))^2+10*x*exp(exp(2))+25*x^2)*ln(x)-x*exp(exp(2))^2+(exp(x)-10*x^2-5*x)*exp(exp(2))+5*exp(x)*x-25*x^3-25*x^2)*ln(((-exp(exp(2))-5*x)*ln(x)+x*exp(exp(2))-exp(x)+5*x^2+5*x)/(exp(exp(2))+5*x))+(x-1)*exp(exp(2))^2+(-exp(x)*x+10*x^2-5*x)*exp(exp(2))+(-5*x^2+5*x)*exp(x)+25*x^3-25*x^2)/((exp(exp(2))^2+10*x*exp(exp(2))+25*x^2)*ln(x)-x*exp(exp(2))^2+(exp(x)-10*x^2-5*x)*exp(exp(2))+5*exp(x)*x-25*x^3-25*x^2)/ln(((-exp(exp(2))-5*x)*ln(x)+x*exp(exp(2))-exp(x)+5*x^2+5*x)/(exp(exp(2))+5*x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i x}{\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{{\mathrm e}^{2}}+5 x}\right) \mathrm{csgn}\left(i \left(-\left(x -\ln \left(x \right)\right) {\mathrm e}^{{\mathrm e}^{2}}-5 x^{2}-\left(-5 \ln \left(x \right)+5\right) x +{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\left(x -\ln \left(x \right)\right) {\mathrm e}^{{\mathrm e}^{2}}-5 x^{2}-\left(-5 \ln \left(x \right)+5\right) x +{\mathrm e}^{x}\right)}{{\mathrm e}^{{\mathrm e}^{2}}+5 x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{{\mathrm e}^{2}}+5 x}\right) \mathrm{csgn}\left(\frac{i \left(-\left(x -\ln \left(x \right)\right) {\mathrm e}^{{\mathrm e}^{2}}-5 x^{2}-\left(-5 \ln \left(x \right)+5\right) x +{\mathrm e}^{x}\right)}{{\mathrm e}^{{\mathrm e}^{2}}+5 x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(-\left(x -\ln \left(x \right)\right) {\mathrm e}^{{\mathrm e}^{2}}-5 x^{2}-\left(-5 \ln \left(x \right)+5\right) x +{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\left(x -\ln \left(x \right)\right) {\mathrm e}^{{\mathrm e}^{2}}-5 x^{2}-\left(-5 \ln \left(x \right)+5\right) x +{\mathrm e}^{x}\right)}{{\mathrm e}^{{\mathrm e}^{2}}+5 x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(-\left(x -\ln \left(x \right)\right) {\mathrm e}^{{\mathrm e}^{2}}-5 x^{2}-\left(-5 \ln \left(x \right)+5\right) x +{\mathrm e}^{x}\right)}{{\mathrm e}^{{\mathrm e}^{2}}+5 x}\right)^{3}-2 i \ln \left({\mathrm e}^{{\mathrm e}^{2}}+5 x \right)+2 i \ln \left(\left(x -\ln \left(x \right)\right) {\mathrm e}^{{\mathrm e}^{2}}+5 x^{2}+\left(-5 \ln \left(x \right)+5\right) x -{\mathrm e}^{x}\right)}$&$321$\\ \hline \end{longtable}"," ",0,"2*I*x/(Pi*csgn(I/(exp(exp(2))+5*x))*csgn(I*(-(x-ln(x))*exp(exp(2))-5*x^2-(-5*ln(x)+5)*x+exp(x)))*csgn(I/(exp(exp(2))+5*x)*(-(x-ln(x))*exp(exp(2))-5*x^2-(-5*ln(x)+5)*x+exp(x)))-Pi*csgn(I/(exp(exp(2))+5*x))*csgn(I/(exp(exp(2))+5*x)*(-(x-ln(x))*exp(exp(2))-5*x^2-(-5*ln(x)+5)*x+exp(x)))^2+Pi*csgn(I*(-(x-ln(x))*exp(exp(2))-5*x^2-(-5*ln(x)+5)*x+exp(x)))*csgn(I/(exp(exp(2))+5*x)*(-(x-ln(x))*exp(exp(2))-5*x^2-(-5*ln(x)+5)*x+exp(x)))^2-Pi*csgn(I/(exp(exp(2))+5*x)*(-(x-ln(x))*exp(exp(2))-5*x^2-(-5*ln(x)+5)*x+exp(x)))^3-2*I*ln(exp(exp(2))+5*x)+2*I*ln((x-ln(x))*exp(exp(2))+5*x^2+(-5*ln(x)+5)*x-exp(x)))","C"
6389,1,16,17,0.406000," ","int((-90*x^3+181*x^2+6*x-8)/(4*x^2-8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{45 x^{2}}{4}+\frac{x}{4}+\ln \left(x \right)+\ln \left(x -2\right)$&$16$\\ norman&$-\frac{45 x^{2}}{4}+\frac{x}{4}+\ln \left(x \right)+\ln \left(x -2\right)$&$16$\\ risch&$\frac{x}{4}-\frac{45 x^{2}}{4}+\ln \left(x^{2}-2 x \right)$&$18$\\ meijerg&$\ln \left(1-\frac{x}{2}\right)+\ln \left(x \right)-\ln \left(2\right)+i \pi -\frac{15 x \left(\frac{3 x}{2}+6\right)}{2}+\frac{181 x}{4}$&$29$\\ \hline \end{longtable}"," ",0,"-45/4*x^2+1/4*x+ln(x)+ln(x-2)","A"
6390,1,30,30,0.178000," ","int(((x*exp(x^2)^2+(-2*x^3-4*x)*exp(x^2)+x^5+4*x^3+4*x)*ln(x)^2+((2*x^2-x+2)*exp(x)*exp(x^2)+(x^3-4*x^2+2*x-4)*exp(x))*ln(x)+exp(x)*exp(x^2)+(-x^2-2)*exp(x))/(x^3*exp(x^2)^2+(-2*x^5-4*x^3)*exp(x^2)+x^7+4*x^5+4*x^3)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{x}+\frac{{\mathrm e}^{x}}{x^{2} \left(2+x^{2}-{\mathrm e}^{x^{2}}\right) \ln \left(x \right)}$&$30$\\ \hline \end{longtable}"," ",0,"-1/x+1/x^2*exp(x)/(2+x^2-exp(x^2))/ln(x)","A"
6391,1,36,26,0.165000," ","int(((128*x+16)*exp(4)^4+(-512*x^2-8320*x-1024)*exp(4)^3+(768*x^3+24800*x^2+202800*x+24584)*exp(4)^2+(-512*x^4-24704*x^3-400464*x^2-2197024*x-262400)*exp(4)+128*x^5+8208*x^4+198696*x^3+2155787*x^2+8925700*x+1050625)*exp(4*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \left(4 \,{\mathrm e}^{8}-8 x \,{\mathrm e}^{4}+4 x^{2}-128 \,{\mathrm e}^{4}+127 x +1025\right)^{2} {\mathrm e}^{8 x}$&$36$\\ risch&$\left(16 x \,{\mathrm e}^{16}-64 x^{2} {\mathrm e}^{12}+96 x^{3} {\mathrm e}^{8}-64 x^{4} {\mathrm e}^{4}+16 x^{5}-1024 x \,{\mathrm e}^{12}+3064 x^{2} {\mathrm e}^{8}-3056 x^{3} {\mathrm e}^{4}+1016 x^{4}+24584 x \,{\mathrm e}^{8}-48912 x^{2} {\mathrm e}^{4}+24329 x^{3}-262400 x \,{\mathrm e}^{4}+260350 x^{2}+1050625 x \right) {\mathrm e}^{8 x}$&$92$\\ norman&$\left(-64 \,{\mathrm e}^{4}+1016\right) x^{4} {\mathrm e}^{8 x}+\left(96 \,{\mathrm e}^{8}-3056 \,{\mathrm e}^{4}+24329\right) x^{3} {\mathrm e}^{8 x}+\left(-64 \,{\mathrm e}^{12}+3064 \,{\mathrm e}^{8}-48912 \,{\mathrm e}^{4}+260350\right) x^{2} {\mathrm e}^{8 x}+\left(16 \,{\mathrm e}^{16}-1024 \,{\mathrm e}^{12}+24584 \,{\mathrm e}^{8}-262400 \,{\mathrm e}^{4}+1050625\right) x \,{\mathrm e}^{8 x}+16 \,{\mathrm e}^{8 x} x^{5}$&$111$\\ meijerg&$-\frac{33619985}{256}-\frac{\left(-196608 x^{5}+122880 x^{4}-61440 x^{3}+23040 x^{2}-5760 x +720\right) {\mathrm e}^{8 x}}{12288}+\frac{\left(128 \,{\mathrm e}^{16}-8320 \,{\mathrm e}^{12}+202800 \,{\mathrm e}^{8}-2197024 \,{\mathrm e}^{4}+8925700\right) \left(1-\frac{\left(-16 x +2\right) {\mathrm e}^{8 x}}{2}\right)}{64}-\frac{\left(-512 \,{\mathrm e}^{12}+24800 \,{\mathrm e}^{8}-400464 \,{\mathrm e}^{4}+2155787\right) \left(2-\frac{\left(192 x^{2}-48 x +6\right) {\mathrm e}^{8 x}}{3}\right)}{512}-\frac{\left(-512 \,{\mathrm e}^{4}+8208\right) \left(24-\frac{\left(20480 x^{4}-10240 x^{3}+3840 x^{2}-960 x +120\right) {\mathrm e}^{8 x}}{5}\right)}{32768}+\frac{\left(768 \,{\mathrm e}^{8}-24704 \,{\mathrm e}^{4}+198696\right) \left(6-\frac{\left(-2048 x^{3}+768 x^{2}-192 x +24\right) {\mathrm e}^{8 x}}{4}\right)}{4096}-2 \,{\mathrm e}^{16} \left(1-{\mathrm e}^{8 x}\right)+128 \,{\mathrm e}^{12} \left(1-{\mathrm e}^{8 x}\right)-3073 \,{\mathrm e}^{8} \left(1-{\mathrm e}^{8 x}\right)+32800 \,{\mathrm e}^{4} \left(1-{\mathrm e}^{8 x}\right)+\frac{1050625 \,{\mathrm e}^{8 x}}{8}$&$226$\\ derivativedivides&$1050625 x \,{\mathrm e}^{8 x}+260350 x^{2} {\mathrm e}^{8 x}+24329 \,{\mathrm e}^{8 x} x^{3}+1016 \,{\mathrm e}^{8 x} x^{4}+16 \,{\mathrm e}^{8 x} x^{5}-32800 \,{\mathrm e}^{8 x} {\mathrm e}^{4}+3073 \,{\mathrm e}^{8 x} {\mathrm e}^{8}-128 \,{\mathrm e}^{8 x} {\mathrm e}^{12}+2 \,{\mathrm e}^{8 x} {\mathrm e}^{16}-137314 \,{\mathrm e}^{4} \left(2 x \,{\mathrm e}^{8 x}-\frac{{\mathrm e}^{8 x}}{4}\right)-\frac{25029 \,{\mathrm e}^{4} \left(8 x^{2} {\mathrm e}^{8 x}-2 x \,{\mathrm e}^{8 x}+\frac{{\mathrm e}^{8 x}}{4}\right)}{4}-\frac{193 \,{\mathrm e}^{4} \left(32 \,{\mathrm e}^{8 x} x^{3}-12 x^{2} {\mathrm e}^{8 x}+3 x \,{\mathrm e}^{8 x}-\frac{3 \,{\mathrm e}^{8 x}}{8}\right)}{2}-\frac{{\mathrm e}^{4} \left(128 \,{\mathrm e}^{8 x} x^{4}-64 \,{\mathrm e}^{8 x} x^{3}+24 x^{2} {\mathrm e}^{8 x}-6 x \,{\mathrm e}^{8 x}+\frac{3 \,{\mathrm e}^{8 x}}{4}\right)}{2}+12675 \,{\mathrm e}^{8} \left(2 x \,{\mathrm e}^{8 x}-\frac{{\mathrm e}^{8 x}}{4}\right)+\frac{775 \,{\mathrm e}^{8} \left(8 x^{2} {\mathrm e}^{8 x}-2 x \,{\mathrm e}^{8 x}+\frac{{\mathrm e}^{8 x}}{4}\right)}{2}+3 \,{\mathrm e}^{8} \left(32 \,{\mathrm e}^{8 x} x^{3}-12 x^{2} {\mathrm e}^{8 x}+3 x \,{\mathrm e}^{8 x}-\frac{3 \,{\mathrm e}^{8 x}}{8}\right)-520 \,{\mathrm e}^{12} \left(2 x \,{\mathrm e}^{8 x}-\frac{{\mathrm e}^{8 x}}{4}\right)-8 \,{\mathrm e}^{12} \left(8 x^{2} {\mathrm e}^{8 x}-2 x \,{\mathrm e}^{8 x}+\frac{{\mathrm e}^{8 x}}{4}\right)+8 \,{\mathrm e}^{16} \left(2 x \,{\mathrm e}^{8 x}-\frac{{\mathrm e}^{8 x}}{4}\right)$&$443$\\ default&$1050625 x \,{\mathrm e}^{8 x}+260350 x^{2} {\mathrm e}^{8 x}+24329 \,{\mathrm e}^{8 x} x^{3}+1016 \,{\mathrm e}^{8 x} x^{4}+16 \,{\mathrm e}^{8 x} x^{5}-32800 \,{\mathrm e}^{8 x} {\mathrm e}^{4}+3073 \,{\mathrm e}^{8 x} {\mathrm e}^{8}-128 \,{\mathrm e}^{8 x} {\mathrm e}^{12}+2 \,{\mathrm e}^{8 x} {\mathrm e}^{16}-137314 \,{\mathrm e}^{4} \left(2 x \,{\mathrm e}^{8 x}-\frac{{\mathrm e}^{8 x}}{4}\right)-\frac{25029 \,{\mathrm e}^{4} \left(8 x^{2} {\mathrm e}^{8 x}-2 x \,{\mathrm e}^{8 x}+\frac{{\mathrm e}^{8 x}}{4}\right)}{4}-\frac{193 \,{\mathrm e}^{4} \left(32 \,{\mathrm e}^{8 x} x^{3}-12 x^{2} {\mathrm e}^{8 x}+3 x \,{\mathrm e}^{8 x}-\frac{3 \,{\mathrm e}^{8 x}}{8}\right)}{2}-\frac{{\mathrm e}^{4} \left(128 \,{\mathrm e}^{8 x} x^{4}-64 \,{\mathrm e}^{8 x} x^{3}+24 x^{2} {\mathrm e}^{8 x}-6 x \,{\mathrm e}^{8 x}+\frac{3 \,{\mathrm e}^{8 x}}{4}\right)}{2}+12675 \,{\mathrm e}^{8} \left(2 x \,{\mathrm e}^{8 x}-\frac{{\mathrm e}^{8 x}}{4}\right)+\frac{775 \,{\mathrm e}^{8} \left(8 x^{2} {\mathrm e}^{8 x}-2 x \,{\mathrm e}^{8 x}+\frac{{\mathrm e}^{8 x}}{4}\right)}{2}+3 \,{\mathrm e}^{8} \left(32 \,{\mathrm e}^{8 x} x^{3}-12 x^{2} {\mathrm e}^{8 x}+3 x \,{\mathrm e}^{8 x}-\frac{3 \,{\mathrm e}^{8 x}}{8}\right)-520 \,{\mathrm e}^{12} \left(2 x \,{\mathrm e}^{8 x}-\frac{{\mathrm e}^{8 x}}{4}\right)-8 \,{\mathrm e}^{12} \left(8 x^{2} {\mathrm e}^{8 x}-2 x \,{\mathrm e}^{8 x}+\frac{{\mathrm e}^{8 x}}{4}\right)+8 \,{\mathrm e}^{16} \left(2 x \,{\mathrm e}^{8 x}-\frac{{\mathrm e}^{8 x}}{4}\right)$&$443$\\ \hline \end{longtable}"," ",0,"x*(4*exp(4)^2-8*x*exp(4)+4*x^2-128*exp(4)+127*x+1025)^2*exp(4*x)^2","A"
6392,1,23,23,0.521000," ","int((1080*x^3*exp(x^2)^3+(1080*x^2*exp(3)-1080*x^3+3240*x^2)*exp(x^2)^2+(360*x*exp(3)^2+(-720*x^2+2160*x)*exp(3)+360*x^3-2484*x^2+3240*x-162)*exp(x^2)+40*exp(3)^3+(-120*x+360)*exp(3)^2+(120*x^2-720*x+1080)*exp(3)-40*x^3+360*x^2-1080*x+1134)/(27*x^3*exp(x^2)^3+(27*x^2*exp(3)-27*x^3+81*x^2)*exp(x^2)^2+(9*x*exp(3)^2+(-18*x^2+54*x)*exp(3)+9*x^3-54*x^2+81*x)*exp(x^2)+exp(3)^3+(-3*x+9)*exp(3)^2+(3*x^2-18*x+27)*exp(3)-x^3+9*x^2-27*x+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$40 x +\frac{27}{\left(3 \,{\mathrm e}^{x^{2}} x +{\mathrm e}^{3}-x +3\right)^{2}}$&$23$\\ norman&$\frac{\left(-120 \,{\mathrm e}^{6}-720 \,{\mathrm e}^{3}-1080\right) x +\left(-240 \,{\mathrm e}^{3}-720\right) x^{2} {\mathrm e}^{x^{2}}+\left(720 \,{\mathrm e}^{3}+2160\right) x^{2} {\mathrm e}^{2 x^{2}}+\left(480 \,{\mathrm e}^{6}+2880 \,{\mathrm e}^{3}+4320\right) x \,{\mathrm e}^{x^{2}}+40 x^{3}-240 x^{3} {\mathrm e}^{x^{2}}+360 x^{3} {\mathrm e}^{2 x^{2}}+2187+80 \,{\mathrm e}^{9}+720 \,{\mathrm e}^{6}+2160 \,{\mathrm e}^{3}}{\left(3 \,{\mathrm e}^{x^{2}} x +{\mathrm e}^{3}-x +3\right)^{2}}$&$123$\\ \hline \end{longtable}"," ",0,"40*x+27/(3*exp(x^2)*x+exp(3)-x+3)^2","A"
6393,1,22,26,0.059000," ","int(-2*x*ln(3)*ln(2*ln(2)-4)/(x^4+10*x^2+25)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\ln \left(3\right) \ln \left(2 \ln \left(2\right)-4\right) {\mathrm e}^{-2}}{x^{2}+5}$&$22$\\ default&$\frac{\ln \left(3\right) \ln \left(2 \ln \left(2\right)-4\right) {\mathrm e}^{-2}}{x^{2}+5}$&$22$\\ norman&$\frac{\ln \left(3\right) \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)-2\right)\right) {\mathrm e}^{-2}}{x^{2}+5}$&$23$\\ risch&$\frac{\ln \left(3\right) {\mathrm e}^{-2} \ln \left(2\right)}{x^{2}+5}+\frac{\ln \left(3\right) {\mathrm e}^{-2} \ln \left(\ln \left(2\right)-2\right)}{x^{2}+5}$&$33$\\ \hline \end{longtable}"," ",0,"ln(3)*ln(2*ln(2)-4)/(x^2+5)/exp(2)","A"
6394,1,28,26,0.184000," ","int(1/8*(((10*x*exp(5)-10*x^3)*exp((x^2+exp(5))/x)-15*x^2)*exp(exp((x^2+exp(5))/x))^2+10*x)*exp(-1/2*x^3*exp(exp((x^2+exp(5))/x))^2+1/2*x^2)*exp(5/4*exp(-1/2*x^3*exp(exp((x^2+exp(5))/x))^2+1/2*x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{5 \,{\mathrm e}^{-\frac{x^{2} \left(x \,{\mathrm e}^{2 \,{\mathrm e}^{\frac{x^{2}+{\mathrm e}^{5}}{x}}}-1\right)}{2}}}{4}}$&$28$\\ \hline \end{longtable}"," ",0,"exp(5/4*exp(-1/2*x^2*(x*exp(2*exp((x^2+exp(5))/x))-1)))","A"
6395,1,47,24,0.415000," ","int((((4*x^3+51*x^2+56*x-30)*ln(2)-4*x^4-51*x^3-56*x^2+30*x)*ln(x-ln(2))+(20*x^3+255*x^2+280*x-150)*ln(2)-21*x^4-272*x^3-308*x^2+180*x)/(3*ln(2)-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{1}{3} x^{4}+\frac{17}{3} x^{3}+\frac{28}{3} x^{2}-10 x \right) \ln \left(x -\ln \left(2\right)\right)+\frac{5 x^{4}}{3}+\frac{85 x^{3}}{3}+\frac{140 x^{2}}{3}-50 x$&$47$\\ norman&$-50 x +\frac{140 x^{2}}{3}+\frac{85 x^{3}}{3}+\frac{5 x^{4}}{3}-10 \ln \left(x -\ln \left(2\right)\right) x +\frac{28 \ln \left(x -\ln \left(2\right)\right) x^{2}}{3}+\frac{17 \ln \left(x -\ln \left(2\right)\right) x^{3}}{3}+\frac{\ln \left(x -\ln \left(2\right)\right) x^{4}}{3}$&$66$\\ derivativedivides&$-50 x +50 \ln \left(2\right)+11 \ln \left(2\right)^{2} \left(x -\ln \left(2\right)\right)^{2}+\frac{140 \left(x -\ln \left(2\right)\right)^{2}}{3}+\frac{28 \ln \left(2\right)^{2} \ln \left(x -\ln \left(2\right)\right)}{3}-10 \ln \left(2\right) \ln \left(x -\ln \left(2\right)\right)+\frac{\ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)^{4}}{3}+8 \ln \left(2\right)^{3} \left(x -\ln \left(2\right)\right)+\frac{64 \ln \left(2\right) \left(x -\ln \left(2\right)\right)^{3}}{9}+\frac{17 \ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)^{3}}{3}+102 \ln \left(2\right)^{2} \left(x -\ln \left(2\right)\right)+\frac{187 \ln \left(2\right) \left(x -\ln \left(2\right)\right)^{2}}{2}+\frac{28 \ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)^{2}}{3}+112 \ln \left(2\right) \left(x -\ln \left(2\right)\right)-10 \ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)+\frac{4 \ln \left(2\right)^{3} \left(\ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)-x +\ln \left(2\right)\right)}{3}+4 \ln \left(2\right)^{2} \left(\frac{\ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)^{2}}{2}-\frac{\left(x -\ln \left(2\right)\right)^{2}}{4}\right)+4 \ln \left(2\right) \left(\frac{\ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)^{3}}{3}-\frac{\left(x -\ln \left(2\right)\right)^{3}}{9}\right)+\frac{\ln \left(2\right)^{4} \ln \left(x -\ln \left(2\right)\right)}{3}+17 \ln \left(2\right)^{2} \left(\ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)-x +\ln \left(2\right)\right)+34 \ln \left(2\right) \left(\frac{\ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)^{2}}{2}-\frac{\left(x -\ln \left(2\right)\right)^{2}}{4}\right)+\frac{56 \ln \left(2\right) \left(\ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)-x +\ln \left(2\right)\right)}{3}+\frac{17 \ln \left(2\right)^{3} \ln \left(x -\ln \left(2\right)\right)}{3}+\frac{85 \left(x -\ln \left(2\right)\right)^{3}}{3}+\frac{5 \left(x -\ln \left(2\right)\right)^{4}}{3}$&$401$\\ default&$-50 x +50 \ln \left(2\right)+11 \ln \left(2\right)^{2} \left(x -\ln \left(2\right)\right)^{2}+\frac{140 \left(x -\ln \left(2\right)\right)^{2}}{3}+\frac{28 \ln \left(2\right)^{2} \ln \left(x -\ln \left(2\right)\right)}{3}-10 \ln \left(2\right) \ln \left(x -\ln \left(2\right)\right)+\frac{\ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)^{4}}{3}+8 \ln \left(2\right)^{3} \left(x -\ln \left(2\right)\right)+\frac{64 \ln \left(2\right) \left(x -\ln \left(2\right)\right)^{3}}{9}+\frac{17 \ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)^{3}}{3}+102 \ln \left(2\right)^{2} \left(x -\ln \left(2\right)\right)+\frac{187 \ln \left(2\right) \left(x -\ln \left(2\right)\right)^{2}}{2}+\frac{28 \ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)^{2}}{3}+112 \ln \left(2\right) \left(x -\ln \left(2\right)\right)-10 \ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)+\frac{4 \ln \left(2\right)^{3} \left(\ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)-x +\ln \left(2\right)\right)}{3}+4 \ln \left(2\right)^{2} \left(\frac{\ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)^{2}}{2}-\frac{\left(x -\ln \left(2\right)\right)^{2}}{4}\right)+4 \ln \left(2\right) \left(\frac{\ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)^{3}}{3}-\frac{\left(x -\ln \left(2\right)\right)^{3}}{9}\right)+\frac{\ln \left(2\right)^{4} \ln \left(x -\ln \left(2\right)\right)}{3}+17 \ln \left(2\right)^{2} \left(\ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)-x +\ln \left(2\right)\right)+34 \ln \left(2\right) \left(\frac{\ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)^{2}}{2}-\frac{\left(x -\ln \left(2\right)\right)^{2}}{4}\right)+\frac{56 \ln \left(2\right) \left(\ln \left(x -\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)-x +\ln \left(2\right)\right)}{3}+\frac{17 \ln \left(2\right)^{3} \ln \left(x -\ln \left(2\right)\right)}{3}+\frac{85 \left(x -\ln \left(2\right)\right)^{3}}{3}+\frac{5 \left(x -\ln \left(2\right)\right)^{4}}{3}$&$401$\\ \hline \end{longtable}"," ",0,"(1/3*x^4+17/3*x^3+28/3*x^2-10*x)*ln(x-ln(2))+5/3*x^4+85/3*x^3+140/3*x^2-50*x","A"
6396,1,128,28,0.241000," ","int(((-32*x^3+80*x^2+384*x+288)*exp(2/x)^4+(384*x^4+128*x^3-2208*x^2-2880*x-864)*exp(2/x)^3+(-1536*x^5-3072*x^4+1920*x^3+7296*x^2+4608*x+864)*exp(2/x)^2+(2560*x^6+8192*x^5+6912*x^4-1792*x^3-4832*x^2-2112*x-288)*exp(2/x)-1536*x^7-6400*x^6-9984*x^5-7284*x^4-2528*x^3-336*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-256 x^{6}-1280 x^{5}-2496 x^{4}-2428 x^{3}-1264 x^{2}-336 x +\left(-16 x^{2}-48 x -36\right) {\mathrm e}^{\frac{8}{x}}+\left(128 x^{3}+448 x^{2}+480 x +144\right) {\mathrm e}^{\frac{6}{x}}+\left(-384 x^{4}-1536 x^{3}-2112 x^{2}-1152 x -216\right) {\mathrm e}^{\frac{4}{x}}+\left(512 x^{5}+2304 x^{4}+3840 x^{3}+2944 x^{2}+1056 x +144\right) {\mathrm e}^{\frac{2}{x}}$&$128$\\ derivativedivides&$-256 x^{6}-1280 x^{5}-2496 x^{4}-2428 x^{3}-1264 x^{2}-336 x -36 \,{\mathrm e}^{\frac{8}{x}}-16 \,{\mathrm e}^{\frac{8}{x}} x^{2}-48 \,{\mathrm e}^{\frac{8}{x}} x +144 \,{\mathrm e}^{\frac{6}{x}}+128 \,{\mathrm e}^{\frac{6}{x}} x^{3}+448 \,{\mathrm e}^{\frac{6}{x}} x^{2}+480 \,{\mathrm e}^{\frac{6}{x}} x -216 \,{\mathrm e}^{\frac{4}{x}}-384 x^{4} {\mathrm e}^{\frac{4}{x}}-1536 \,{\mathrm e}^{\frac{4}{x}} x^{3}-2112 x^{2} {\mathrm e}^{\frac{4}{x}}-1152 x \,{\mathrm e}^{\frac{4}{x}}+512 \,{\mathrm e}^{\frac{2}{x}} x^{5}+2304 \,{\mathrm e}^{\frac{2}{x}} x^{4}+3840 x^{3} {\mathrm e}^{\frac{2}{x}}+2944 x^{2} {\mathrm e}^{\frac{2}{x}}+1056 x \,{\mathrm e}^{\frac{2}{x}}+144 \,{\mathrm e}^{\frac{2}{x}}$&$232$\\ default&$-256 x^{6}-1280 x^{5}-2496 x^{4}-2428 x^{3}-1264 x^{2}-336 x -36 \,{\mathrm e}^{\frac{8}{x}}-16 \,{\mathrm e}^{\frac{8}{x}} x^{2}-48 \,{\mathrm e}^{\frac{8}{x}} x +144 \,{\mathrm e}^{\frac{6}{x}}+128 \,{\mathrm e}^{\frac{6}{x}} x^{3}+448 \,{\mathrm e}^{\frac{6}{x}} x^{2}+480 \,{\mathrm e}^{\frac{6}{x}} x -216 \,{\mathrm e}^{\frac{4}{x}}-384 x^{4} {\mathrm e}^{\frac{4}{x}}-1536 \,{\mathrm e}^{\frac{4}{x}} x^{3}-2112 x^{2} {\mathrm e}^{\frac{4}{x}}-1152 x \,{\mathrm e}^{\frac{4}{x}}+512 \,{\mathrm e}^{\frac{2}{x}} x^{5}+2304 \,{\mathrm e}^{\frac{2}{x}} x^{4}+3840 x^{3} {\mathrm e}^{\frac{2}{x}}+2944 x^{2} {\mathrm e}^{\frac{2}{x}}+1056 x \,{\mathrm e}^{\frac{2}{x}}+144 \,{\mathrm e}^{\frac{2}{x}}$&$232$\\ \hline \end{longtable}"," ",0,"-256*x^6-1280*x^5-2496*x^4-2428*x^3-1264*x^2-336*x+(-16*x^2-48*x-36)*exp(8/x)+(128*x^3+448*x^2+480*x+144)*exp(6/x)+(-384*x^4-1536*x^3-2112*x^2-1152*x-216)*exp(4/x)+(512*x^5+2304*x^4+3840*x^3+2944*x^2+1056*x+144)*exp(2/x)","B"
6397,1,80,16,0.434000," ","int((25*exp(3)^5+(750*x-1125)*exp(3)^4+(9000*x^2-27000*x+20250)*exp(3)^3+(54000*x^3-243000*x^2+364500*x-182250)*exp(3)^2+(162000*x^4-972000*x^3+2187000*x^2-2186996*x+820125)*exp(3)+194400*x^5-1458000*x^4+4374000*x^3-6561024*x^2+4920714*x-1476225)/(25*exp(3)^5+(750*x-1125)*exp(3)^4+(9000*x^2-27000*x+20250)*exp(3)^3+(54000*x^3-243000*x^2+364500*x-182250)*exp(3)^2+(162000*x^4-972000*x^3+2187000*x^2-2187000*x+820125)*exp(3)+194400*x^5-1458000*x^4+4374000*x^3-6561000*x^2+4920750*x-1476225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{2 x^{2}}{25 \left({\mathrm e}^{12}+24 x \,{\mathrm e}^{9}+216 x^{2} {\mathrm e}^{6}+864 x^{3} {\mathrm e}^{3}+1296 x^{4}-36 \,{\mathrm e}^{9}-648 x \,{\mathrm e}^{6}-3888 x^{2} {\mathrm e}^{3}-7776 x^{3}+486 \,{\mathrm e}^{6}+5832 x \,{\mathrm e}^{3}+17496 x^{2}-2916 \,{\mathrm e}^{3}-17496 x +6561\right)}$&$80$\\ norman&$\frac{\left(-360 \,{\mathrm e}^{6}+6480 \,{\mathrm e}^{3}-29160\right) x^{3}+\left(-120 \,{\mathrm e}^{9}+3240 \,{\mathrm e}^{6}-29160 \,{\mathrm e}^{3}+\frac{2187002}{25}\right) x^{2}+\left(-15 \,{\mathrm e}^{12}+540 \,{\mathrm e}^{9}-7290 \,{\mathrm e}^{6}+43740 \,{\mathrm e}^{3}-98415\right) x +1296 x^{5}-\frac{2 \,{\mathrm e}^{15}}{3}+30 \,{\mathrm e}^{12}-540 \,{\mathrm e}^{9}+4860 \,{\mathrm e}^{6}-21870 \,{\mathrm e}^{3}+39366}{\left({\mathrm e}^{3}+6 x -9\right)^{4}}$&$110$\\ default&$x +\frac{2 \left(\munderset{\textit{\_R} =\RootOf \left(7776 \textit{\_Z}^{5}+\left(6480 \,{\mathrm e}^{3}-58320\right) \textit{\_Z}^{4}+\left(-38880 \,{\mathrm e}^{3}+2160 \,{\mathrm e}^{6}+174960\right) \textit{\_Z}^{3}+\left(87480 \,{\mathrm e}^{3}+360 \,{\mathrm e}^{9}-9720 \,{\mathrm e}^{6}-262440\right) \textit{\_Z}^{2}+\left(-87480 \,{\mathrm e}^{3}+30 \,{\mathrm e}^{12}-1080 \,{\mathrm e}^{9}+14580 \,{\mathrm e}^{6}+196830\right) \textit{\_Z} +32805 \,{\mathrm e}^{3}+{\mathrm e}^{15}-45 \,{\mathrm e}^{12}+810 \,{\mathrm e}^{9}-7290 \,{\mathrm e}^{6}-59049\right)}{\sum}\frac{\left(-6 \textit{\_R}^{2}+\left({\mathrm e}^{3}-9\right) \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{6561+{\mathrm e}^{12}+24 \textit{\_R} \,{\mathrm e}^{9}+216 \textit{\_R}^{2} {\mathrm e}^{6}+864 \textit{\_R}^{3} {\mathrm e}^{3}+1296 \textit{\_R}^{4}-36 \,{\mathrm e}^{9}-648 \textit{\_R} \,{\mathrm e}^{6}-3888 \textit{\_R}^{2} {\mathrm e}^{3}-7776 \textit{\_R}^{3}+486 \,{\mathrm e}^{6}+5832 \textit{\_R} \,{\mathrm e}^{3}+17496 \textit{\_R}^{2}-2916 \,{\mathrm e}^{3}-17496 \textit{\_R}}\right)}{375}$&$187$\\ gosper&$-\frac{50 \,{\mathrm e}^{15}+1125 x \,{\mathrm e}^{12}+9000 x^{2} {\mathrm e}^{9}+27000 x^{3} {\mathrm e}^{6}-97200 x^{5}-2250 \,{\mathrm e}^{12}-40500 x \,{\mathrm e}^{9}-243000 x^{2} {\mathrm e}^{6}-486000 x^{3} {\mathrm e}^{3}+40500 \,{\mathrm e}^{9}+546750 x \,{\mathrm e}^{6}+2187000 x^{2} {\mathrm e}^{3}+2187000 x^{3}-364500 \,{\mathrm e}^{6}-3280500 x \,{\mathrm e}^{3}-6561006 x^{2}+1640250 \,{\mathrm e}^{3}+7381125 x -2952450}{75 \left({\mathrm e}^{12}+24 x \,{\mathrm e}^{9}+216 x^{2} {\mathrm e}^{6}+864 x^{3} {\mathrm e}^{3}+1296 x^{4}-36 \,{\mathrm e}^{9}-648 x \,{\mathrm e}^{6}-3888 x^{2} {\mathrm e}^{3}-7776 x^{3}+486 \,{\mathrm e}^{6}+5832 x \,{\mathrm e}^{3}+17496 x^{2}-2916 \,{\mathrm e}^{3}-17496 x +6561\right)}$&$202$\\ \hline \end{longtable}"," ",0,"x+2/25*x^2/(exp(12)+24*x*exp(9)+216*x^2*exp(6)+864*x^3*exp(3)+1296*x^4-36*exp(9)-648*x*exp(6)-3888*x^2*exp(3)-7776*x^3+486*exp(6)+5832*x*exp(3)+17496*x^2-2916*exp(3)-17496*x+6561)","B"
6398,1,39,22,0.292000," ","int((x^2*exp(2)^6-3*x^3*exp(2)^4+(3*x^4-120)*exp(2)^2-x^5+270*x^2+360*x)/(x^3*exp(2)^6-3*x^4*exp(2)^4+(3*x^5+135*x^2+120*x)*exp(2)^2-x^6-135*x^3-120*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(-x \right)-2 \ln \left(x -{\mathrm e}^{4}\right)+\ln \left(x^{2} {\mathrm e}^{8}-2 x^{3} {\mathrm e}^{4}+x^{4}+135 x +120\right)$&$39$\\ norman&$-\ln \left(x \right)-2 \ln \left({\mathrm e}^{4}-x \right)+\ln \left(x^{2} {\mathrm e}^{8}-2 x^{3} {\mathrm e}^{4}+x^{4}+135 x +120\right)$&$43$\\ default&$-\ln \left(x \right)-\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{5}-3 \textit{\_Z}^{4} {\mathrm e}^{4}+3 \textit{\_Z}^{3} {\mathrm e}^{8}+\left(-{\mathrm e}^{12}+135\right) \textit{\_Z}^{2}+\left(-135 \,{\mathrm e}^{4}+120\right) \textit{\_Z} -120 \,{\mathrm e}^{4}\right)}{\sum}\frac{\left(2 \textit{\_R}^{4}-6 \textit{\_R}^{3} {\mathrm e}^{4}+6 \textit{\_R}^{2} {\mathrm e}^{8}+\left(-2 \,{\mathrm e}^{12}-135\right) \textit{\_R} -135 \,{\mathrm e}^{4}-240\right) \ln \left(x -\textit{\_R} \right)}{2 \textit{\_R} \,{\mathrm e}^{12}-9 \textit{\_R}^{2} {\mathrm e}^{8}+12 \textit{\_R}^{3} {\mathrm e}^{4}-5 \textit{\_R}^{4}+135 \,{\mathrm e}^{4}-270 \textit{\_R} -120}\right)$&$127$\\ \hline \end{longtable}"," ",0,"-ln(-x)-2*ln(x-exp(4))+ln(x^2*exp(8)-2*x^3*exp(4)+x^4+135*x+120)","A"
6399,1,10,18,0.017000," ","int(32*x-47,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$16 x^{2}-47 x$&$10$\\ default&$16 x^{2}-47 x$&$10$\\ norman&$16 x^{2}-47 x$&$10$\\ risch&$16 x^{2}-47 x$&$10$\\ \hline \end{longtable}"," ",0,"16*x^2-47*x","A"
6400,1,29,25,0.448000," ","int(((4*(8*x^4+16*x^3)*ln(2)^2-40*x-80)*ln((-4*x^3*ln(2)^2+5)/x)^2+(4*(16*x^4+64*x^3)*ln(2)^2+40*x+160)*ln((-4*x^3*ln(2)^2+5)/x))/(4*x^3*ln(2)^2-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(4 x^{2}+16 x \right) \ln \left(\frac{-4 x^{3} \ln \left(2\right)^{2}+5}{x}\right)^{2}$&$29$\\ norman&$16 x \ln \left(\frac{-4 x^{3} \ln \left(2\right)^{2}+5}{x}\right)^{2}+4 x^{2} \ln \left(\frac{-4 x^{3} \ln \left(2\right)^{2}+5}{x}\right)^{2}$&$46$\\ \hline \end{longtable}"," ",0,"(4*x^2+16*x)*ln((-4*x^3*ln(2)^2+5)/x)^2","A"
6401,1,24,21,0.415000," ","int((2*ln(2)+x^12-12*x^11-4*x^7+28*x^6+4*x^2-8*x)*exp(x)/(4*ln(2)^2+2*(2*x^12-8*x^7+8*x^2)*ln(2)+x^24-8*x^19+24*x^14-32*x^9+16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{x}}{x^{12}-4 x^{7}+4 x^{2}+2 \ln \left(2\right)}$&$24$\\ risch&$\frac{{\mathrm e}^{x}}{x^{12}-4 x^{7}+4 x^{2}+2 \ln \left(2\right)}$&$24$\\ default&$\text{Expression too large to display}$&$3222$\\ \hline \end{longtable}"," ",0,"exp(x)/(x^12-4*x^7+4*x^2+2*ln(2))","A"
6402,0,0,23,0.046000," ","int(((-8*x^2-16*x+16)*ln(-ln(x/(2+x))+x)^7+((x^2+2*x)*ln(5)+(x^2+2*x)*exp(2))*ln(x/(2+x))+(-x^3-2*x^2)*ln(5)+(-x^3-2*x^2)*exp(2))/((x^2+2*x)*ln(x/(2+x))-x^3-2*x^2),x)","\[\int \frac{\left(-8 x^{2}-16 x +16\right) \ln \left(-\ln \left(\frac{x}{2+x}\right)+x \right)^{7}+\left(\left(x^{2}+2 x \right) \ln \left(5\right)+\left(x^{2}+2 x \right) {\mathrm e}^{2}\right) \ln \left(\frac{x}{2+x}\right)+\left(-x^{3}-2 x^{2}\right) \ln \left(5\right)+\left(-x^{3}-2 x^{2}\right) {\mathrm e}^{2}}{\left(x^{2}+2 x \right) \ln \left(\frac{x}{2+x}\right)-x^{3}-2 x^{2}}\, dx\]"," ",0,"int(((-8*x^2-16*x+16)*ln(-ln(x/(2+x))+x)^7+((x^2+2*x)*ln(5)+(x^2+2*x)*exp(2))*ln(x/(2+x))+(-x^3-2*x^2)*ln(5)+(-x^3-2*x^2)*exp(2))/((x^2+2*x)*ln(x/(2+x))-x^3-2*x^2),x)","F"
6403,1,48,20,0.125000," ","int(((32*x^4-32*x^3-288*x^2+288*x)*ln(x)^2+(32*x^4-128*x^3+192*x^2+256*x-96)*ln(x)+32*x^3-32*x^2-160*x-96)/(x^3+3*x^2+3*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x^{2} \left(x^{2}-6 x +9\right) \ln \left(x \right)^{2}}{x^{2}+2 x +1}+\frac{32 \left(x^{2}+x +4\right) \ln \left(x \right)}{x +1}-128 \ln \left(x \right)$&$48$\\ norman&$\frac{-96 x \ln \left(x \right)-64 x^{2} \ln \left(x \right)+144 x^{2} \ln \left(x \right)^{2}+32 x^{3} \ln \left(x \right)-96 x^{3} \ln \left(x \right)^{2}+16 x^{4} \ln \left(x \right)^{2}}{\left(x +1\right)^{2}}$&$54$\\ \hline \end{longtable}"," ",0,"16*x^2*(x^2-6*x+9)/(x^2+2*x+1)*ln(x)^2+32*(x^2+x+4)/(x+1)*ln(x)-128*ln(x)","B"
6404,1,16,17,0.107000," ","int((32*ln(2)*exp(16/5*ln(2)*ln(x)+2)^2+5*x)/(5*x*exp(16/5*ln(2)*ln(x)+2)^2+5*x^2+10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(2+{\mathrm e}^{\frac{32 \ln \left(2\right) \ln \left(x \right)}{5}+4}+x \right)$&$16$\\ risch&$-4+\ln \left(x^{\frac{32 \ln \left(2\right)}{5}} {\mathrm e}^{4}+x +2\right)$&$18$\\ \hline \end{longtable}"," ",0,"ln(2+exp(16/5*ln(2)*ln(x)+2)^2+x)","A"
6405,1,19,19,0.036000," ","int(50*x*ln(x)^2+50*x*ln(x)+2/3*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{3}-x +25 x^{2} \ln \left(x \right)^{2}$&$19$\\ norman&$\frac{x^{2}}{3}-x +25 x^{2} \ln \left(x \right)^{2}$&$19$\\ risch&$\frac{x^{2}}{3}-x +25 x^{2} \ln \left(x \right)^{2}$&$19$\\ \hline \end{longtable}"," ",0,"1/3*x^2-x+25*x^2*ln(x)^2","A"
6406,1,12,13,0.055000," ","int(((3*ln(x)*ln(ln(x))-3)*exp(3/2*x/ln(ln(x)))^2+ln(x)*ln(ln(x))^2)/ln(x)/ln(ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{3 x}{\ln \left(\ln \left(x \right)\right)}}+x$&$12$\\ \hline \end{longtable}"," ",0,"exp(3*x/ln(ln(x)))+x","A"
6407,1,45,29,0.096000," ","int(((x^4-3*x^2)*ln(x)^2+(3*x^6-4*x^4-3*x^2+2*x-4)*ln(x)+x^6-x^4-x^3+3*x^2+x-3)/(x^4-2*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3} \ln \left(x \right)^{2}}{x^{2}-1}+\frac{\left(x^{5}-x^{3}+4 x -1\right) \ln \left(x \right)}{x^{2}-1}+x -\ln \left(x \right)$&$45$\\ norman&$\frac{x^{3}+x^{3} \ln \left(x \right)^{2}+x^{5} \ln \left(x \right)-x +4 x \ln \left(x \right)-x^{2} \ln \left(x \right)-x^{3} \ln \left(x \right)}{x^{2}-1}$&$49$\\ \hline \end{longtable}"," ",0,"x^3/(x^2-1)*ln(x)^2+(x^5-x^3+4*x-1)/(x^2-1)*ln(x)+x-ln(x)","A"
6408,1,94,19,0.250000," ","int((((-6*x+4)*exp(x)^6+6*x*exp(x)^3)*ln(1/4*x^2)+(18*x^2+30*x-28)*exp(x)^6+(-18*x^2-36*x-4)*exp(x)^3-6*x)/x/exp(x)^6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(2\right) {\mathrm e}^{-3 x}-2 \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right) {\mathrm e}^{-3 x}+14 \,{\mathrm e}^{-3 x}+6 x \,{\mathrm e}^{-3 x}-4 \ln \left(x \right) {\mathrm e}^{-3 x}+{\mathrm e}^{-6 x}+9 x^{2}+42 x -28 \ln \left(x \right)-6 x \ln \left(x^{2}\right)+4 \ln \left(x \right) \ln \left(x^{2}\right)-4 \ln \left(x \right)^{2}-8 \ln \left(2\right) \ln \left(x \right)+12 x \ln \left(2\right)$&$94$\\ risch&$4 \ln \left(x \right)^{2}-4 \left(3 x \,{\mathrm e}^{3 x}+1\right) {\mathrm e}^{-3 x} \ln \left(x \right)+\left(1-8 \ln \left(x \right) \ln \left(2\right) {\mathrm e}^{6 x}+12 \ln \left(2\right) x \,{\mathrm e}^{6 x}+14 \,{\mathrm e}^{3 x}-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{3 x}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{6 x}+4 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{6 x}+3 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{6 x}+42 x \,{\mathrm e}^{6 x}+9 x^{2} {\mathrm e}^{6 x}+6 x \,{\mathrm e}^{3 x}+i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{3 x}+4 \ln \left(2\right) {\mathrm e}^{3 x}-28 \ln \left(x \right) {\mathrm e}^{6 x}-6 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{6 x}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{6 x}+3 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{6 x}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{3 x}\right) {\mathrm e}^{-6 x}$&$288$\\ \hline \end{longtable}"," ",0,"4*ln(2)*exp(-3*x)-2*(ln(x^2)-2*ln(x))*exp(-3*x)+14*exp(-3*x)+6*x*exp(-3*x)-4*ln(x)*exp(-3*x)+1/exp(x)^6+9*x^2+42*x-28*ln(x)-6*x*ln(x^2)+4*ln(x)*ln(x^2)-4*ln(x)^2-8*ln(2)*ln(x)+12*x*ln(2)","B"
6409,1,16,12,0.041000," ","int((2*exp(x)^2*x^2+3)/(exp(x)^2*x^2+5*x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{2 x}+\frac{5 x -3}{x}\right)$&$16$\\ norman&$-\ln \left(x \right)+\ln \left(x \,{\mathrm e}^{2 x}+5 x -3\right)$&$18$\\ \hline \end{longtable}"," ",0,"ln(exp(2*x)+(5*x-3)/x)","A"
6410,1,193,28,0.145000," ","int(((-2*exp(x)^2*x^2+(-4*x^3+x^2-2*x)*exp(x))*ln(1/2*(2*exp(x)*x+4*x^2-x+2)/x)+6*exp(x)^2*x^2+(16*x^3-8*x^2+8*x+2)*exp(x))/(2*exp(x)*x^2+4*x^3-x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x} \ln \left(\frac{1}{2}+x^{2}+\left(\frac{{\mathrm e}^{x}}{2}-\frac{1}{4}\right) x \right)+{\mathrm e}^{x} \ln \left(x \right)+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\frac{1}{2}+x^{2}+\left(\frac{{\mathrm e}^{x}}{2}-\frac{1}{4}\right) x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{1}{2}+x^{2}+\left(\frac{{\mathrm e}^{x}}{2}-\frac{1}{4}\right) x \right)}{x}\right) {\mathrm e}^{x}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{1}{2}+x^{2}+\left(\frac{{\mathrm e}^{x}}{2}-\frac{1}{4}\right) x \right)}{x}\right)^{2} {\mathrm e}^{x}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(\frac{1}{2}+x^{2}+\left(\frac{{\mathrm e}^{x}}{2}-\frac{1}{4}\right) x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{1}{2}+x^{2}+\left(\frac{{\mathrm e}^{x}}{2}-\frac{1}{4}\right) x \right)}{x}\right)^{2} {\mathrm e}^{x}}{2}+\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{1}{2}+x^{2}+\left(\frac{{\mathrm e}^{x}}{2}-\frac{1}{4}\right) x \right)}{x}\right)^{3} {\mathrm e}^{x}}{2}-{\mathrm e}^{x} \ln \left(2\right)+4 \,{\mathrm e}^{x}$&$193$\\ \hline \end{longtable}"," ",0,"-exp(x)*ln(1/2+x^2+(1/2*exp(x)-1/4)*x)+exp(x)*ln(x)+1/2*I*Pi*csgn(I/x)*csgn(I*(1/2+x^2+(1/2*exp(x)-1/4)*x))*csgn(I/x*(1/2+x^2+(1/2*exp(x)-1/4)*x))*exp(x)-1/2*I*Pi*csgn(I/x)*csgn(I/x*(1/2+x^2+(1/2*exp(x)-1/4)*x))^2*exp(x)-1/2*I*Pi*csgn(I*(1/2+x^2+(1/2*exp(x)-1/4)*x))*csgn(I/x*(1/2+x^2+(1/2*exp(x)-1/4)*x))^2*exp(x)+1/2*I*Pi*csgn(I/x*(1/2+x^2+(1/2*exp(x)-1/4)*x))^3*exp(x)-exp(x)*ln(2)+4*exp(x)","C"
6411,1,25,23,0.040000," ","int(1/5*(-ln(x)-4*x^3+1)*exp(1/15*(3*ln(x)+3*x*exp(5)+x*exp(1)-6*x^3+2*x)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\frac{1}{5 x}} {\mathrm e}^{\frac{{\mathrm e}^{5}}{5}-\frac{2 x^{2}}{5}+\frac{{\mathrm e}}{15}+\frac{2}{15}}$&$25$\\ norman&${\mathrm e}^{\frac{3 \ln \left(x \right)+3 x \,{\mathrm e}^{5}+x \,{\mathrm e}-6 x^{3}+2 x}{15 x}}$&$29$\\ \hline \end{longtable}"," ",0,"x^(1/5/x)*exp(1/5*exp(5)-2/5*x^2+1/15*exp(1)+2/15)","A"
6412,1,17,25,0.031000," ","int((2*x^4+13*x^3+23*x^2-27*x-9)/(x^3+6*x^2+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+x -\ln \left(x \right)+\frac{30}{3+x}$&$17$\\ risch&$x^{2}+x -\ln \left(x \right)+\frac{30}{3+x}$&$17$\\ norman&$\frac{x^{3}+4 x^{2}+21}{3+x}-\ln \left(x \right)$&$22$\\ \hline \end{longtable}"," ",0,"x^2+x-ln(x)+30/(3+x)","A"
6413,1,10,14,0.036000," ","int(1/32*(-24*x^6-15)/x^6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{3 x}{4}+\frac{3}{32 x^{5}}$&$10$\\ risch&$-\frac{3 x}{4}+\frac{3}{32 x^{5}}$&$10$\\ norman&$\frac{\frac{3}{32}-\frac{3 x^{6}}{4}}{x^{5}}$&$12$\\ gosper&$-\frac{3 \left(8 x^{6}-1\right)}{32 x^{5}}$&$13$\\ \hline \end{longtable}"," ",0,"-3/4*x+3/32/x^5","A"
6414,1,31,30,0.081000," ","int(((36*x^3-2*x^2)*exp(x)*ln(x)^2+((-144*x^4+8*x^3)*exp(x)+(3*x+3)*exp(3))*ln(x)+(144*x^5-8*x^4)*exp(x)+(-6*x^2-12*x+3)*exp(3))/(2*x^2*exp(x)*ln(x)^2-8*x^3*exp(x)*ln(x)+8*exp(x)*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 x^{2}-x +\frac{3 \,{\mathrm e}^{3-x}}{2 \left(2 x -\ln \left(x \right)\right) x}$&$31$\\ \hline \end{longtable}"," ",0,"9*x^2-x+3/2/(2*x-ln(x))/x*exp(3-x)","A"
6415,1,15,16,0.043000," ","int((((-2*x-24)*ln(x+12)+2*x^2+16*x-96)*ln(-ln(x+12)+x-4)-x^2-11*x)*exp(ln(-ln(x+12)+x-4)/x^2)*exp(exp(ln(-ln(x+12)+x-4)/x^2))/((x^4+12*x^3)*ln(x+12)-x^5-8*x^4+48*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\left(-\ln \left(x +12\right)+x -4\right)^{\frac{1}{x^{2}}}}$&$15$\\ \hline \end{longtable}"," ",0,"exp((-ln(x+12)+x-4)^(1/x^2))","A"
6416,1,37,23,0.062000," ","int((18*x*exp(3*x)^2+(18*x^2-48*x)*exp(3*x)+6*x^2-18*x-3)*exp(1/(ln(x)-exp(3*x)^2+(6-2*x)*exp(3*x)-x^2+6*x-9))/(4*x*ln(x)^2+(-8*x*exp(3*x)^2+(-16*x^2+48*x)*exp(3*x)-8*x^3+48*x^2-72*x)*ln(x)+4*x*exp(3*x)^4+(16*x^2-48*x)*exp(3*x)^3+(24*x^3-144*x^2+216*x)*exp(3*x)^2+(16*x^4-144*x^3+432*x^2-432*x)*exp(3*x)+4*x^5-48*x^4+216*x^3-432*x^2+324*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{\frac{1}{-2 x \,{\mathrm e}^{3 x}-x^{2}+\ln \left(x \right)-{\mathrm e}^{6 x}+6 \,{\mathrm e}^{3 x}+6 x -9}}}{4}$&$37$\\ \hline \end{longtable}"," ",0,"3/4*exp(1/(-2*x*exp(3*x)-x^2+ln(x)-exp(6*x)+6*exp(3*x)+6*x-9))","A"
6417,1,28,21,0.091000," ","int(((x^2+2*x-2)*ln(2)-3*x^2)/((18*x^2+36*x+18)*ln(2)^2+(-36*x^3-72*x^2-36*x)*ln(2)+18*x^4+36*x^3+18*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{\ln \left(2\right)}{18}-\frac{1}{6}\right) x +\frac{\ln \left(2\right)}{18}}{\left(x +1\right) \left(\ln \left(2\right)-x \right)}$&$28$\\ gosper&$\frac{x \ln \left(2\right)+\ln \left(2\right)-3 x}{18 x \ln \left(2\right)-18 x^{2}+18 \ln \left(2\right)-18 x}$&$30$\\ risch&$\frac{\left(\frac{\ln \left(2\right)}{18}-\frac{1}{6}\right) x +\frac{\ln \left(2\right)}{18}}{x \ln \left(2\right)-x^{2}+\ln \left(2\right)-x}$&$32$\\ default&$-\frac{\ln \left(2\right) \left(\ln \left(2\right)-2\right)}{18 \left(1+\ln \left(2\right)\right) \left(x -\ln \left(2\right)\right)}+\frac{1}{6 \left(1+\ln \left(2\right)\right) \left(x +1\right)}$&$37$\\ \hline \end{longtable}"," ",0,"((1/18*ln(2)-1/6)*x+1/18*ln(2))/(x+1)/(ln(2)-x)","A"
6418,1,26,29,0.149000," ","int((exp(-x^2*exp(1)+x^3-x-2)+2*x^2*exp(1)-3*x^3+x-1)/x^2/exp(-x^2*exp(1)+x^3-x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{x}+\frac{{\mathrm e}^{x^{2} {\mathrm e}-x^{3}+x +2}}{x}$&$26$\\ norman&$\frac{\left(1-{\mathrm e}^{-x^{2} {\mathrm e}+x^{3}-x -2}\right) {\mathrm e}^{x^{2} {\mathrm e}-x^{3}+x +2}}{x}$&$43$\\ \hline \end{longtable}"," ",0,"-1/x+exp(x^2*exp(1)-x^3+x+2)/x","A"
6419,1,41,28,0.250000," ","int(((2*exp(x)+2)*exp((14*exp(x)+14*x-3)/(5*exp(x)+5*x-1))+(-25*x-50)*exp(1)^2*exp(x)^2+(-50*x^2-90*x+20)*exp(1)^2*exp(x)+(-25*x^3-40*x^2+19*x-2)*exp(1)^2)*exp(exp((14*exp(x)+14*x-3)/(5*exp(x)+5*x-1))+1/4*(-x^2-4*x-4)*exp(1)^2)/(50*exp(x)^2+(100*x-20)*exp(x)+50*x^2-20*x+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{14 \,{\mathrm e}^{x}+14 x -3}{5 \,{\mathrm e}^{x}+5 x -1}}-\frac{x^{2} {\mathrm e}^{2}}{4}-{\mathrm e}^{2} x -{\mathrm e}^{2}}$&$41$\\ \hline \end{longtable}"," ",0,"exp(exp((14*exp(x)+14*x-3)/(5*exp(x)+5*x-1))-1/4*x^2*exp(2)-exp(2)*x-exp(2))","A"
6420,1,243,29,0.106000," ","int((75*x^2*exp(5)^4+(-400*x^3-300*x^2)*exp(5)^3+(750*x^4+1200*x^3+450*x^2)*exp(5)^2+(-600*x^5-1500*x^4-1200*x^3-300*x^2)*exp(5)+175*x^6+600*x^5+750*x^4+400*x^3+75*x^2)*ln(x)^2+((50*x^2-10)*exp(5)^4+(-200*x^3-200*x^2+80*x+40)*exp(5)^3+(300*x^4+600*x^3+120*x^2-240*x-60)*exp(5)^2+(-200*x^5-600*x^4-440*x^3+160*x^2+240*x+40)*exp(5)+50*x^6+200*x^5+250*x^4+40*x^3-130*x^2-80*x-10)*ln(x)-10*exp(5)^4+(40*x+44)*exp(5)^3+(-60*x^2-132*x-72)*exp(5)^2+(40*x^3+132*x^2+144*x+52)*exp(5)-10*x^4-44*x^3-72*x^2-52*x-14,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(4 \,{\mathrm e}^{5}-4\right) x^{3}+\left(-6 \,{\mathrm e}^{10}+12 \,{\mathrm e}^{5}-6\right) x^{2}+\left(4 \,{\mathrm e}^{15}-12 \,{\mathrm e}^{10}+12 \,{\mathrm e}^{5}-4\right) x +\left(-100 \,{\mathrm e}^{5}+100\right) x^{6} \ln \left(x \right)^{2}+\left(40 \,{\mathrm e}^{5}-40\right) x^{4} \ln \left(x \right)+\left(-60 \,{\mathrm e}^{10}+120 \,{\mathrm e}^{5}-60\right) x^{3} \ln \left(x \right)+\left(150 \,{\mathrm e}^{10}-300 \,{\mathrm e}^{5}+150\right) x^{5} \ln \left(x \right)^{2}+\left(-100 \,{\mathrm e}^{15}+300 \,{\mathrm e}^{10}-300 \,{\mathrm e}^{5}+100\right) x^{4} \ln \left(x \right)^{2}+\left(40 \,{\mathrm e}^{15}-120 \,{\mathrm e}^{10}+120 \,{\mathrm e}^{5}-40\right) x^{2} \ln \left(x \right)+\left(40 \,{\mathrm e}^{15}-60 \,{\mathrm e}^{10}+40 \,{\mathrm e}^{5}-10-10 \,{\mathrm e}^{20}\right) x \ln \left(x \right)+\left(25 \,{\mathrm e}^{20}-100 \,{\mathrm e}^{15}+150 \,{\mathrm e}^{10}-100 \,{\mathrm e}^{5}+25\right) x^{3} \ln \left(x \right)^{2}-x^{4}-10 x^{5} \ln \left(x \right)+25 x^{7} \ln \left(x \right)^{2}$&$243$\\ risch&$-4 x -120 x^{2} {\mathrm e}^{10} \ln \left(x \right)-40 x^{2} \ln \left(x \right)-12 x \,{\mathrm e}^{10}+25 x^{7} \ln \left(x \right)^{2}+40 x \,{\mathrm e}^{5} \ln \left(x \right)+120 x^{3} {\mathrm e}^{5} \ln \left(x \right)+4 x \,{\mathrm e}^{15}+40 \ln \left(x \right) {\mathrm e}^{15} x +12 x \,{\mathrm e}^{5}-x^{4}-4 x^{3}-6 x^{2}-60 x^{3} \ln \left(x \right)+120 x^{2} {\mathrm e}^{5} \ln \left(x \right)+100 x^{6} \ln \left(x \right)^{2}-10 x^{5} \ln \left(x \right)+100 x^{4} \ln \left(x \right)^{2}+12 x^{2} {\mathrm e}^{5}-40 x^{4} \ln \left(x \right)-10 x \ln \left(x \right)+4 x^{3} {\mathrm e}^{5}-6 \,{\mathrm e}^{10} x^{2}+150 x^{5} \ln \left(x \right)^{2}+25 x^{3} \ln \left(x \right)^{2}+25 \,{\mathrm e}^{20} x^{3} \ln \left(x \right)^{2}-10 \,{\mathrm e}^{20} \ln \left(x \right) x +40 \ln \left(x \right) x^{2} {\mathrm e}^{15}-100 \,{\mathrm e}^{5} \ln \left(x \right)^{2} x^{3}-100 \,{\mathrm e}^{15} x^{4} \ln \left(x \right)^{2}+150 \,{\mathrm e}^{10} x^{5} \ln \left(x \right)^{2}-100 x^{3} \ln \left(x \right)^{2} {\mathrm e}^{15}+300 x^{4} \ln \left(x \right)^{2} {\mathrm e}^{10}+150 x^{3} \ln \left(x \right)^{2} {\mathrm e}^{10}-60 \,{\mathrm e}^{10} \ln \left(x \right) x -300 x^{5} \ln \left(x \right)^{2} {\mathrm e}^{5}-100 \,{\mathrm e}^{5} x^{6} \ln \left(x \right)^{2}-300 x^{4} \ln \left(x \right)^{2} {\mathrm e}^{5}+40 \,{\mathrm e}^{5} x^{4} \ln \left(x \right)-60 x^{3} {\mathrm e}^{10} \ln \left(x \right)$&$326$\\ default&$-4 x -120 x^{2} {\mathrm e}^{10} \ln \left(x \right)-40 x^{2} \ln \left(x \right)+60 x \,{\mathrm e}^{10}+25 x^{7} \ln \left(x \right)^{2}+40 x \,{\mathrm e}^{5} \ln \left(x \right)+120 x^{3} {\mathrm e}^{5} \ln \left(x \right)-40 x \,{\mathrm e}^{15}+40 \ln \left(x \right) {\mathrm e}^{15} x -40 x \,{\mathrm e}^{5}-x^{4}-4 x^{3}-6 x^{2}-60 x^{3} \ln \left(x \right)+120 x^{2} {\mathrm e}^{5} \ln \left(x \right)+100 x^{6} \ln \left(x \right)^{2}-10 x^{5} \ln \left(x \right)+100 x^{4} \ln \left(x \right)^{2}-60 x^{2} {\mathrm e}^{5}-40 x^{4} \ln \left(x \right)-10 x^{4} {\mathrm e}^{5}-10 x \ln \left(x \right)-40 x^{3} {\mathrm e}^{5}+60 \,{\mathrm e}^{10} x^{2}-20 x^{2} {\mathrm e}^{15}+20 x^{3} {\mathrm e}^{10}+150 x^{5} \ln \left(x \right)^{2}+25 x^{3} \ln \left(x \right)^{2}+25 \,{\mathrm e}^{20} x^{3} \ln \left(x \right)^{2}-10 \,{\mathrm e}^{20} \ln \left(x \right) x +40 \ln \left(x \right) x^{2} {\mathrm e}^{15}-100 \,{\mathrm e}^{5} \ln \left(x \right)^{2} x^{3}-100 \,{\mathrm e}^{15} x^{4} \ln \left(x \right)^{2}+150 \,{\mathrm e}^{10} x^{5} \ln \left(x \right)^{2}-100 x^{3} \ln \left(x \right)^{2} {\mathrm e}^{15}+300 x^{4} \ln \left(x \right)^{2} {\mathrm e}^{10}+150 x^{3} \ln \left(x \right)^{2} {\mathrm e}^{10}-60 \,{\mathrm e}^{10} \ln \left(x \right) x +{\mathrm e}^{5} \left(10 x^{4}+44 x^{3}+72 x^{2}+52 x \right)-300 x^{5} \ln \left(x \right)^{2} {\mathrm e}^{5}-100 \,{\mathrm e}^{5} x^{6} \ln \left(x \right)^{2}-300 x^{4} \ln \left(x \right)^{2} {\mathrm e}^{5}+40 \,{\mathrm e}^{5} x^{4} \ln \left(x \right)+{\mathrm e}^{15} \left(20 x^{2}+44 x \right)+{\mathrm e}^{10} \left(-20 x^{3}-66 x^{2}-72 x \right)-60 x^{3} {\mathrm e}^{10} \ln \left(x \right)$&$436$\\ \hline \end{longtable}"," ",0,"(4*exp(5)-4)*x^3+(-6*exp(5)^2+12*exp(5)-6)*x^2+(4*exp(5)^3-12*exp(5)^2+12*exp(5)-4)*x+(-100*exp(5)+100)*x^6*ln(x)^2+(40*exp(5)-40)*x^4*ln(x)+(-60*exp(5)^2+120*exp(5)-60)*x^3*ln(x)+(150*exp(5)^2-300*exp(5)+150)*x^5*ln(x)^2+(-100*exp(5)^3+300*exp(5)^2-300*exp(5)+100)*x^4*ln(x)^2+(40*exp(5)^3-120*exp(5)^2+120*exp(5)-40)*x^2*ln(x)+(40*exp(5)^3-60*exp(5)^2+40*exp(5)-10-10*exp(5)^4)*x*ln(x)+(25*exp(5)^4-100*exp(5)^3+150*exp(5)^2-100*exp(5)+25)*x^3*ln(x)^2-x^4-10*x^5*ln(x)+25*x^7*ln(x)^2","B"
6421,1,8,15,0.060000," ","int(25/4*x*exp(x)^2/exp(3+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 x^{2} {\mathrm e}^{-6}}{8}$&$8$\\ default&$\frac{25 x^{2} {\mathrm e}^{-6}}{8}$&$10$\\ norman&$\frac{25 x^{2} {\mathrm e}^{-6}}{8}$&$10$\\ gosper&$\frac{25 \,{\mathrm e}^{-2 x -6} x^{2} {\mathrm e}^{2 x}}{8}$&$16$\\ meijerg&$\frac{25 \,{\mathrm e}^{2 x -6+2 x \,{\mathrm e}^{-6}} {\mathrm e}^{-4 x} \left(1-\frac{\left(2-4 x \left(1-{\mathrm e}^{-6}\right)\right) {\mathrm e}^{2 x \left(1-{\mathrm e}^{-6}\right)}}{2}\right)}{16 \left(1-{\mathrm e}^{-6}\right)^{2}}$&$53$\\ \hline \end{longtable}"," ",0,"25/8*x^2*exp(-6)","A"
6422,1,17,17,0.030000," ","int((3774*x+30000)/(x^3+629*x^2+2500*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$12 \ln \left(x \right)-6 \ln \left(x^{2}+629 x +2500\right)$&$17$\\ default&$-6 \ln \left(x +625\right)-6 \ln \left(4+x \right)+12 \ln \left(x \right)$&$18$\\ norman&$-6 \ln \left(x +625\right)-6 \ln \left(4+x \right)+12 \ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"12*ln(x)-6*ln(x^2+629*x+2500)","A"
6423,1,28,21,0.482000," ","int(((2*x*ln(2)+x^2-4*x)*ln(2*x*exp(5)*ln(2)+(x^2-4*x)*exp(5))+2*(1-x)*ln(2)+5*x-4)/(2*x*ln(2)+x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(2 x \,{\mathrm e}^{5} \ln \left(2\right)+\left(x^{2}-4 x \right) {\mathrm e}^{5}\right)-2 x +\ln \left(x \right)$&$28$\\ risch&$x \ln \left(2 x \,{\mathrm e}^{5} \ln \left(2\right)+\left(x^{2}-4 x \right) {\mathrm e}^{5}\right)-2 x +\ln \left(x \right)$&$28$\\ default&$\ln \left(x \right)+\ln \left(2 x \,{\mathrm e}^{5} \ln \left(2\right)+x^{2} {\mathrm e}^{5}-4 x \,{\mathrm e}^{5}\right) x -2 x$&$29$\\ \hline \end{longtable}"," ",0,"x*ln(2*x*exp(5)*ln(2)+(x^2-4*x)*exp(5))-2*x+ln(x)","A"
6424,1,9,8,0.020000," ","int(((x-1)*exp(x)+6)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{x}-6}{x}$&$9$\\ default&$-\frac{6}{x}+\frac{{\mathrm e}^{x}}{x}$&$13$\\ risch&$-\frac{6}{x}+\frac{{\mathrm e}^{x}}{x}$&$13$\\ \hline \end{longtable}"," ",0,"(exp(x)-6)/x","A"
6425,1,24,26,0.199000," ","int((-50*x-150)*ln(3)/((x^2+6*x+10)*ln(3)^2*ln(x^2+6*x+10)^2+((-2*x^2-12*x-20)*ln(3)^3+(-60*x^2-360*x-600)*ln(3))*ln(x^2+6*x+10)+(x^2+6*x+10)*ln(3)^4+(60*x^2+360*x+600)*ln(3)^2+900*x^2+5400*x+9000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{25}{\ln \left(3\right)^{2}-\ln \left(3\right) \ln \left(x^{2}+6 x +10\right)+30}$&$24$\\ risch&$-\frac{25}{\ln \left(3\right)^{2}-\ln \left(3\right) \ln \left(x^{2}+6 x +10\right)+30}$&$24$\\ \hline \end{longtable}"," ",0,"-25/(ln(3)^2-ln(3)*ln(x^2+6*x+10)+30)","A"
6426,1,24,24,0.091000," ","int(1/2*(((2*x^3+2*x^2)*exp(x-3)+2*x)*exp(3*exp(4)/x)+3*exp(3)*exp(4))/x^2/exp(3*exp(4)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+x \,{\mathrm e}^{x -3}+\frac{{\mathrm e}^{-\frac{3 \left({\mathrm e}^{4}-x \right)}{x}}}{2}$&$24$\\ default&$\ln \left(x \right)+{\mathrm e}^{x} {\mathrm e}^{-3}+{\mathrm e}^{-3} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+\frac{{\mathrm e}^{3} {\mathrm e}^{-\frac{3 \,{\mathrm e}^{4}}{x}}}{2}$&$34$\\ norman&$\frac{\left({\mathrm e}^{x -3} {\mathrm e}^{\frac{3 \,{\mathrm e}^{4}}{x}} x^{2}+\frac{x \,{\mathrm e}^{3}}{2}\right) {\mathrm e}^{-\frac{3 \,{\mathrm e}^{4}}{x}}}{x}+\ln \left(x \right)$&$40$\\ \hline \end{longtable}"," ",0,"ln(x)+x*exp(x-3)+1/2*exp(-3*(exp(4)-x)/x)","A"
6427,1,13,12,0.041000," ","int(((1-2*x)*ln(x)*ln(ln(x))-1)/x/ln(x)/ln(ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-2 x -\ln \left(\ln \left(\ln \left(x \right)\right)\right)$&$13$\\ norman&$\ln \left(x \right)-2 x -\ln \left(\ln \left(\ln \left(x \right)\right)\right)$&$13$\\ risch&$\ln \left(x \right)-2 x -\ln \left(\ln \left(\ln \left(x \right)\right)\right)$&$13$\\ \hline \end{longtable}"," ",0,"ln(x)-2*x-ln(ln(ln(x)))","A"
6428,1,33,25,2.089000," ","int((((8*ln(2)^2-32*x)*ln(-1/4*ln(2)^2+x)*ln(3/ln(x))+16*x*ln(x))*exp(ln(3/ln(x))^2+5)+(x*ln(2)^2-4*x^2)*ln(x))/(x*ln(2)^2-4*x^2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 \ln \left(-\frac{\ln \left(2\right)^{2}}{4}+x \right) \ln \left(x \right)^{-2 \ln \left(3\right)} {\mathrm e}^{\ln \left(\ln \left(x \right)\right)^{2}+5+\ln \left(3\right)^{2}}+x$&$33$\\ \hline \end{longtable}"," ",0,"-4*ln(-1/4*ln(2)^2+x)*ln(x)^(-2*ln(3))*exp(ln(ln(x))^2+5+ln(3)^2)+x","A"
6429,1,37,23,0.035000," ","int(1/4*(((2*x^2-2*x)*ln(x)^3+18*x)*exp(9/ln(x)^2)+(-8*x^2+6*x-5)*ln(x)^3)/exp(x)^2/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(4 x^{2}+x +3\right) {\mathrm e}^{-2 x}}{4}-\frac{x^{2} {\mathrm e}^{-\frac{2 x \ln \left(x \right)^{2}-9}{\ln \left(x \right)^{2}}}}{4}$&$37$\\ \hline \end{longtable}"," ",0,"1/4*(4*x^2+x+3)*exp(-2*x)-1/4*x^2*exp(-(2*x*ln(x)^2-9)/ln(x)^2)","A"
6430,1,28,25,0.077000," ","int(((-x^2-5)*exp(exp(5))^2+10*x^3+x^2+x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x^{2}-{\mathrm e}^{2 \,{\mathrm e}^{5}} x +x +\frac{5 \,{\mathrm e}^{2 \,{\mathrm e}^{5}}}{x}+\ln \left(x \right)$&$28$\\ risch&$5 x^{2}-{\mathrm e}^{2 \,{\mathrm e}^{5}} x +x +\frac{5 \,{\mathrm e}^{2 \,{\mathrm e}^{5}}}{x}+\ln \left(x \right)$&$28$\\ norman&$\frac{\left(-{\mathrm e}^{2 \,{\mathrm e}^{5}}+1\right) x^{2}+5 x^{3}+5 \,{\mathrm e}^{2 \,{\mathrm e}^{5}}}{x}+\ln \left(x \right)$&$34$\\ \hline \end{longtable}"," ",0,"5*x^2-exp(2*exp(5))*x+x+5*exp(2*exp(5))/x+ln(x)","A"
6431,1,37,27,0.653000," ","int((((-20*x^2-80*x)*ln(2)^2+(320*x^2+1280*x)*ln(2)+20*x^6+80*x^5-1280*x^2-5120*x)*ln(4+x)-10*x^2*ln(2)^2+(-20*x^4+160*x^2)*ln(2)-10*x^6+210*x^4-640*x^2)/((4+x)*ln(2)^4+(4*x^3+16*x^2-32*x-128)*ln(2)^3+(6*x^5+24*x^4-106*x^3-424*x^2+384*x+1536)*ln(2)^2+(4*x^7+16*x^6-116*x^5-464*x^4+928*x^3+3712*x^2-2048*x-8192)*ln(2)+x^9+4*x^8-42*x^7-168*x^6+569*x^5+2276*x^4-2688*x^3-10752*x^2+4096*x+16384),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{10 x^{2} \ln \left(4+x \right)}{x^{4}+2 x^{2} \ln \left(2\right)+\ln \left(2\right)^{2}-21 x^{2}-16 \ln \left(2\right)+64}$&$37$\\ risch&$-\frac{10 x^{2} \ln \left(4+x \right)}{x^{4}+2 x^{2} \ln \left(2\right)+\ln \left(2\right)^{2}-21 x^{2}-16 \ln \left(2\right)+64}$&$37$\\ derivativedivides&$-\frac{10 \ln \left(4+x \right) \left(4+x \right) \left(\ln \left(2\right)^{2} \left(4+x \right)-16 \left(4+x \right)^{3}-8 \ln \left(2\right)^{2}-16 \left(4+x \right) \ln \left(2\right)+256 \left(4+x \right)^{2}+128 \ln \left(2\right)-3328-1216 x \right)}{\left(\ln \left(2\right)^{2}+16 \ln \left(2\right)-16\right) \left(\left(4+x \right)^{4}+2 \ln \left(2\right) \left(4+x \right)^{2}-16 \left(4+x \right)^{3}+\ln \left(2\right)^{2}-16 \left(4+x \right) \ln \left(2\right)+75 \left(4+x \right)^{2}+16 \ln \left(2\right)-368-88 x \right)}-\frac{160 \ln \left(4+x \right)}{\ln \left(2\right)^{2}+16 \ln \left(2\right)-16}$&$135$\\ default&$-\frac{10 \ln \left(4+x \right) \left(4+x \right) \left(\ln \left(2\right)^{2} \left(4+x \right)-16 \left(4+x \right)^{3}-8 \ln \left(2\right)^{2}-16 \left(4+x \right) \ln \left(2\right)+256 \left(4+x \right)^{2}+128 \ln \left(2\right)-3328-1216 x \right)}{\left(\ln \left(2\right)^{2}+16 \ln \left(2\right)-16\right) \left(\left(4+x \right)^{4}+2 \ln \left(2\right) \left(4+x \right)^{2}-16 \left(4+x \right)^{3}+\ln \left(2\right)^{2}-16 \left(4+x \right) \ln \left(2\right)+75 \left(4+x \right)^{2}+16 \ln \left(2\right)-368-88 x \right)}-\frac{160 \ln \left(4+x \right)}{\ln \left(2\right)^{2}+16 \ln \left(2\right)-16}$&$135$\\ \hline \end{longtable}"," ",0,"-10*x^2*ln(4+x)/(x^4+2*x^2*ln(2)+ln(2)^2-21*x^2-16*ln(2)+64)","A"
6432,1,76,25,0.313000," ","int((((8*x^6-80*x^3+200)*exp(exp(x/(4*x^3-20)))-216*x^6+2160*x^3-5400)*ln(-1/5*exp(exp(x/(4*x^3-20)))+27/5)+(2*x^4+5*x)*exp(x/(4*x^3-20))*ln(x^2)*exp(exp(x/(4*x^3-20))))/((4*x^7-40*x^4+100*x)*exp(exp(x/(4*x^3-20)))-108*x^7+1080*x^4-2700*x)/ln(-1/5*exp(exp(x/(4*x^3-20)))+27/5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \ln \left(x \right)-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2 \ln \left(-\frac{{\mathrm e}^{{\mathrm e}^{\frac{x}{4 x^{3}-20}}}}{5}+\frac{27}{5}\right)}$&$76$\\ \hline \end{longtable}"," ",0,"1/2*(4*ln(x)-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3)/ln(-1/5*exp(exp(1/4*x/(x^3-5)))+27/5)","C"
6433,1,12,13,0.067000," ","int(-1/(36*x^5-360*x^4+1440*x^3-2880*x^2+2880*x-1152)/exp(3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{-6}}{144 \left(x -2\right)^{4}}$&$12$\\ norman&$\frac{{\mathrm e}^{-6}}{144 \left(x -2\right)^{4}}$&$12$\\ risch&$\frac{{\mathrm e}^{-6}}{144 x^{4}-1152 x^{3}+3456 x^{2}-4608 x +2304}$&$25$\\ gosper&$\frac{{\mathrm e}^{-6}}{144 x^{4}-1152 x^{3}+3456 x^{2}-4608 x +2304}$&$27$\\ \hline \end{longtable}"," ",0,"1/144/exp(3)^2/(x-2)^4","A"
6434,1,20,20,0.035000," ","int((4*x^2+1)*exp(x^2+2)^2+50*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \,{\mathrm e}^{2 x^{2}+4}+2 x +25 x^{2}$&$20$\\ risch&$x \,{\mathrm e}^{2 x^{2}+4}+2 x +25 x^{2}$&$20$\\ default&$2 x +\frac{{\mathrm e}^{4} \sqrt{2}\, \sqrt{\pi}\, \erfi \left(\sqrt{2}\, x \right)}{4}+4 \,{\mathrm e}^{4} \left(\frac{x \,{\mathrm e}^{2 x^{2}}}{4}-\frac{\sqrt{2}\, \sqrt{\pi}\, \erfi \left(\sqrt{2}\, x \right)}{16}\right)+25 x^{2}$&$58$\\ \hline \end{longtable}"," ",0,"x*exp(x^2+2)^2+2*x+25*x^2","A"
6435,1,41,27,0.573000," ","int((4*(5000*x^2-25000*x+37500)*ln(2)^2+2*(9800*x^2-49500*x+74875)*ln(2)+4802*x^2-24500*x+37375)/(4*(2500*x^2-12500*x+15625)*ln(2)^2+2*(4900*x^2-24750*x+31250)*ln(2)+2401*x^2-12250*x+15625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\frac{5 \ln \left(2\right)}{2 \left(x \ln \left(2\right)-\frac{5 \ln \left(2\right)}{2}+\frac{49 x}{100}-\frac{5}{4}\right)}-\frac{5}{4 \left(x \ln \left(2\right)-\frac{5 \ln \left(2\right)}{2}+\frac{49 x}{100}-\frac{5}{4}\right)}$&$41$\\ default&$2 x -\frac{25000 \ln \left(2\right)^{2}+24750 \ln \left(2\right)+6125}{\left(100 \ln \left(2\right)+49\right) \left(100 x \ln \left(2\right)-250 \ln \left(2\right)+49 x -125\right)}$&$43$\\ norman&$\frac{\left(200 \ln \left(2\right)+98\right) x^{2}-\frac{125 \left(1200 \ln \left(2\right)^{2}+1198 \ln \left(2\right)+299\right)}{100 \ln \left(2\right)+49}}{100 x \ln \left(2\right)-250 \ln \left(2\right)+49 x -125}$&$51$\\ gosper&$\frac{20000 x^{2} \ln \left(2\right)^{2}+19600 x^{2} \ln \left(2\right)-150000 \ln \left(2\right)^{2}+4802 x^{2}-149750 \ln \left(2\right)-37375}{\left(100 x \ln \left(2\right)-250 \ln \left(2\right)+49 x -125\right) \left(100 \ln \left(2\right)+49\right)}$&$59$\\ meijerg&$\frac{299 \left(100 \ln \left(2\right)+49\right)^{2} x}{125 \left(10000 \ln \left(2\right)^{2}+9800 \ln \left(2\right)+2401\right) \left(1+2 \ln \left(2\right)\right)^{2} \left(1-\frac{x \left(100 \ln \left(2\right)+49\right)}{125 \left(1+2 \ln \left(2\right)\right)}\right)}-\frac{1953125 \left(\frac{32 \ln \left(2\right)^{2}}{25}+\frac{784 \ln \left(2\right)}{625}+\frac{4802}{15625}\right) \left(1+2 \ln \left(2\right)\right) \left(-\frac{x \left(100 \ln \left(2\right)+49\right) \left(-\frac{3 x \left(100 \ln \left(2\right)+49\right)}{125 \left(1+2 \ln \left(2\right)\right)}+6\right)}{375 \left(1+2 \ln \left(2\right)\right) \left(1-\frac{x \left(100 \ln \left(2\right)+49\right)}{125 \left(1+2 \ln \left(2\right)\right)}\right)}-2 \ln \left(1-\frac{x \left(100 \ln \left(2\right)+49\right)}{125 \left(1+2 \ln \left(2\right)\right)}\right)\right)}{\left(10000 \ln \left(2\right)^{2}+9800 \ln \left(2\right)+2401\right) \left(100 \ln \left(2\right)+49\right)}+\frac{15625 \left(-\frac{32 \ln \left(2\right)^{2}}{5}-\frac{792 \ln \left(2\right)}{125}-\frac{196}{125}\right) \left(\frac{x \left(100 \ln \left(2\right)+49\right)}{125 \left(1+2 \ln \left(2\right)\right) \left(1-\frac{x \left(100 \ln \left(2\right)+49\right)}{125 \left(1+2 \ln \left(2\right)\right)}\right)}+\ln \left(1-\frac{x \left(100 \ln \left(2\right)+49\right)}{125 \left(1+2 \ln \left(2\right)\right)}\right)\right)}{10000 \ln \left(2\right)^{2}+9800 \ln \left(2\right)+2401}+\frac{48 \ln \left(2\right)^{2} \left(100 \ln \left(2\right)+49\right)^{2} x}{5 \left(10000 \ln \left(2\right)^{2}+9800 \ln \left(2\right)+2401\right) \left(1+2 \ln \left(2\right)\right)^{2} \left(1-\frac{x \left(100 \ln \left(2\right)+49\right)}{125 \left(1+2 \ln \left(2\right)\right)}\right)}+\frac{1198 \ln \left(2\right) \left(100 \ln \left(2\right)+49\right)^{2} x}{125 \left(10000 \ln \left(2\right)^{2}+9800 \ln \left(2\right)+2401\right) \left(1+2 \ln \left(2\right)\right)^{2} \left(1-\frac{x \left(100 \ln \left(2\right)+49\right)}{125 \left(1+2 \ln \left(2\right)\right)}\right)}$&$379$\\ \hline \end{longtable}"," ",0,"2*x-5/2/(x*ln(2)-5/2*ln(2)+49/100*x-5/4)*ln(2)-5/4/(x*ln(2)-5/2*ln(2)+49/100*x-5/4)","A"
6436,1,15,15,0.038000," ","int(1/2*(2*x^7*exp(x)*exp(exp(x))-25*x^8-72)/x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{25 x^{2}}{4}+\frac{6}{x^{6}}+{\mathrm e}^{{\mathrm e}^{x}}$&$15$\\ risch&$-\frac{25 x^{2}}{4}+\frac{6}{x^{6}}+{\mathrm e}^{{\mathrm e}^{x}}$&$15$\\ \hline \end{longtable}"," ",0,"-25/4*x^2+6/x^6+exp(exp(x))","A"
6437,1,25,21,0.574000," ","int(1/2*(8*exp(x^2)-3*x^3+3*x)/exp(x^2)/ln(exp(1/4*(16*exp(x^2)*x+3*x^2)/exp(x^2))/exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left({\mathrm e}^{\frac{x \left(16 \,{\mathrm e}^{x^{2}}+3 x \right) {\mathrm e}^{-x^{2}}}{4}}\right)-1\right)$&$25$\\ default&$-x^{2}+\ln \left(16 \,{\mathrm e}^{x^{2}} x +4 \left(\ln \left({\mathrm e}^{\frac{\left(16 \,{\mathrm e}^{x^{2}} x +3 x^{2}\right) {\mathrm e}^{-x^{2}}}{4}} {\mathrm e}^{-1}\right)-\frac{\left(16 \,{\mathrm e}^{x^{2}} x +3 x^{2}\right) {\mathrm e}^{-x^{2}}}{4}\right) {\mathrm e}^{x^{2}}+3 x^{2}\right)$&$77$\\ \hline \end{longtable}"," ",0,"ln(ln(exp(1/4*x*(16*exp(x^2)+3*x)*exp(-x^2)))-1)","A"
6438,1,23,20,0.042000," ","int(((40*x+20)*exp(7)-exp(5)-4)/(4+exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(-20 x \,{\mathrm e}^{7}+{\mathrm e}^{5}-20 \,{\mathrm e}^{7}+4\right)}{4+{\mathrm e}^{5}}$&$23$\\ default&$\frac{{\mathrm e}^{7} \left(20 x^{2}+20 x \right)-x \,{\mathrm e}^{5}-4 x}{4+{\mathrm e}^{5}}$&$29$\\ norman&$-\frac{\left({\mathrm e}^{5}-20 \,{\mathrm e}^{7}+4\right) x}{4+{\mathrm e}^{5}}+\frac{20 \,{\mathrm e}^{7} x^{2}}{4+{\mathrm e}^{5}}$&$32$\\ risch&$\frac{20 \,{\mathrm e}^{7} x^{2}}{4+{\mathrm e}^{5}}+\frac{20 \,{\mathrm e}^{7} x}{4+{\mathrm e}^{5}}-\frac{{\mathrm e}^{5} x}{4+{\mathrm e}^{5}}-\frac{4 x}{4+{\mathrm e}^{5}}$&$46$\\ \hline \end{longtable}"," ",0,"-x*(-20*x*exp(7)+exp(5)-20*exp(7)+4)/(4+exp(5))","A"
6439,1,24,22,0.375000," ","int(((5+x)*ln(5+x)+(4*x^2+22*x+10)*exp(exp(2)^2+2*x+1)+4*x^2+21*x)/(5+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(5+x \right)+2 x^{2}+2 \,{\mathrm e}^{1+2 x +{\mathrm e}^{4}} x$&$24$\\ norman&$x \ln \left(5+x \right)+2 x^{2}+2 \,{\mathrm e}^{1+2 x +{\mathrm e}^{4}} x$&$26$\\ default&${\mathrm e}^{1+2 x +{\mathrm e}^{4}} \left(1+2 x +{\mathrm e}^{4}\right)-{\mathrm e}^{1+2 x +{\mathrm e}^{4}}-{\mathrm e}^{1+2 x +{\mathrm e}^{4}} {\mathrm e}^{4}+2 x^{2}-5 \ln \left(5+x \right)+\left(5+x \right) \ln \left(5+x \right)-5$&$70$\\ \hline \end{longtable}"," ",0,"x*ln(5+x)+2*x^2+2*exp(1+2*x+exp(4))*x","A"
6440,1,22,17,0.030000," ","int(((4*x-2)*exp(x)^2+(-2*x^2-20*x+20)*exp(x)-32)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{32+2 \,{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} x -20 \,{\mathrm e}^{x}}{x}$&$22$\\ risch&$\frac{32}{x}+\frac{2 \,{\mathrm e}^{2 x}}{x}-\frac{2 \left(x +10\right) {\mathrm e}^{x}}{x}$&$26$\\ default&$\frac{32}{x}-\frac{20 \,{\mathrm e}^{x}}{x}+\frac{2 \,{\mathrm e}^{2 x}}{x}-2 \,{\mathrm e}^{x}$&$27$\\ \hline \end{longtable}"," ",0,"(32+2*exp(x)^2-2*exp(x)*x-20*exp(x))/x","A"
6441,1,33,26,0.054000," ","int(((4*x-4)*ln(2*x)+5*exp(x)^2+10*exp(x)-6*x^2+15*x-7)/(4*x*ln(2*x)-5*exp(x)^2-10*exp(x)*x-6*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\ln \left(5 \,{\mathrm e}^{2 x}+10 \,{\mathrm e}^{x} x -4 x \ln \left(2 x \right)+6 x^{2}-3 x \right)$&$33$\\ risch&$x -\ln \left(x \right)-\ln \left(\ln \left(2 x \right)-\frac{6 x^{2}+10 \,{\mathrm e}^{x} x +5 \,{\mathrm e}^{2 x}-3 x}{4 x}\right)$&$40$\\ \hline \end{longtable}"," ",0,"x-ln(5*exp(x)^2+10*exp(x)*x-4*x*ln(2*x)+6*x^2-3*x)","A"
6442,1,25,25,0.051000," ","int(1/3*(4*ln(2)-4*x^5*exp(1)+24*x^5+12*x^4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-\frac{{\mathrm e}}{3}+2\right) x^{5}+\frac{4 x^{4}}{3}-\frac{4 \ln \left(2\right)}{3}}{x}$&$25$\\ default&$-\frac{x^{4} {\mathrm e}}{3}+2 x^{4}+\frac{4 x^{3}}{3}-\frac{4 \ln \left(2\right)}{3 x}$&$26$\\ risch&$-\frac{x^{4} {\mathrm e}}{3}+2 x^{4}+\frac{4 x^{3}}{3}-\frac{4 \ln \left(2\right)}{3 x}$&$26$\\ gosper&$-\frac{x^{5} {\mathrm e}-6 x^{5}-4 x^{4}+4 \ln \left(2\right)}{3 x}$&$27$\\ \hline \end{longtable}"," ",0,"((-1/3*exp(1)+2)*x^5+4/3*x^4-4/3*ln(2))/x","A"
6443,1,18,19,0.264000," ","int((x*ln(5/exp(2))*ln(x)+(x-2)*ln(5/exp(2))-4*x)/((x^2-2*x)*ln(5/exp(2))*ln(x)-4*x^2)/ln(1/4*(2-x)*ln(5/exp(2))*ln(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\frac{\left(2-x \right) \left(\ln \left(5\right)-2\right) \ln \left(x \right)}{4}+x \right)\right)$&$18$\\ norman&$\ln \left(\ln \left(\frac{\left(2-x \right) \ln \left(5 \,{\mathrm e}^{-2}\right) \ln \left(x \right)}{4}+x \right)\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(ln(1/4*(2-x)*(ln(5)-2)*ln(x)+x))","A"
6444,1,15,14,1.600000," ","int((1-ln(x))*exp(ln(-139/12*ln(x)/x)/ln(5))/x/ln(5)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{\ln \left(-\frac{139 \ln \left(x \right)}{12 x}\right)}{\ln \left(5\right)}}$&$15$\\ risch&$x^{-\frac{1}{\ln \left(5\right)}} \ln \left(x \right)^{\frac{1}{\ln \left(5\right)}} \left(\frac{1}{4}\right)^{\frac{1}{\ln \left(5\right)}} \left(\frac{1}{3}\right)^{\frac{1}{\ln \left(5\right)}} 139^{\frac{1}{\ln \left(5\right)}} {\mathrm e}^{-\frac{i \pi  \left(-\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}-\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)-\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)+2 \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}-2\right)}{2 \ln \left(5\right)}}$&$134$\\ \hline \end{longtable}"," ",0,"exp(ln(-139/12*ln(x)/x)/ln(5))","A"
6445,1,24,20,0.126000," ","int(1/4*((x-1)*exp(x)-exp(4)+3072*x^4-4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +256 x^{3}+\frac{{\mathrm e}^{4}}{4 x}+\frac{{\mathrm e}^{x}}{4 x}$&$24$\\ norman&$\frac{-x^{2}+256 x^{4}+\frac{{\mathrm e}^{4}}{4}+\frac{{\mathrm e}^{x}}{4}}{x}$&$24$\\ risch&$-x +256 x^{3}+\frac{{\mathrm e}^{4}}{4 x}+\frac{{\mathrm e}^{x}}{4 x}$&$24$\\ \hline \end{longtable}"," ",0,"-x+256*x^3+1/4*exp(4)/x+1/4*exp(x)/x","A"
6446,1,22,22,0.094000," ","int((3*exp(x)^2+(2*x*ln(5)+2*x^2-6*x-48)*exp(x)+4*x*ln(5)+12*x^2-112*x+192)/(x*exp(x)^2+(4*x^2-16*x)*exp(x)+4*x^3-32*x^2+64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \ln \left(x \right)-\frac{2 \left(x +\ln \left(5\right)-8\right)}{-8+{\mathrm e}^{x}+2 x}$&$22$\\ norman&$\frac{{\mathrm e}^{x}+8-2 \ln \left(5\right)}{-8+{\mathrm e}^{x}+2 x}+3 \ln \left(x \right)$&$24$\\ \hline \end{longtable}"," ",0,"3*ln(x)-2*(x+ln(5)-8)/(-8+exp(x)+2*x)","A"
6447,1,108,27,0.360000," ","int((-1152*exp(36/x^2/exp(2))^4-10368*exp(36/x^2/exp(2))^3+((16*x^4-12*x^3)*exp(2)-1152*x^2+1728*x-31104)*exp(36/x^2/exp(2))^2+((96*x^4-72*x^3)*exp(2)-3456*x^2+5184*x-31104)*exp(36/x^2/exp(2))+(16*x^6-36*x^5+162*x^4-108*x^3)*exp(2))/x^3/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{4}-12 x^{3}+81 x^{2}-108 x +4 \,{\mathrm e}^{\frac{144 \,{\mathrm e}^{-2}}{x^{2}}}+48 \,{\mathrm e}^{\frac{108 \,{\mathrm e}^{-2}}{x^{2}}}+\left(8 x^{2} {\mathrm e}^{2}-12 \,{\mathrm e}^{2} x +216 \,{\mathrm e}^{2}\right) {\mathrm e}^{\frac{-2 x^{2}+72 \,{\mathrm e}^{-2}}{x^{2}}}+\left(48 x^{2} {\mathrm e}^{2}-72 \,{\mathrm e}^{2} x +432 \,{\mathrm e}^{2}\right) {\mathrm e}^{\frac{-2 x^{2}+36 \,{\mathrm e}^{-2}}{x^{2}}}$&$108$\\ default&${\mathrm e}^{-2} \left(72 i \sqrt{\pi}\, \sqrt{2}\, {\mathrm e} \erf \left(\frac{6 i \sqrt{2}\, {\mathrm e}^{-1}}{x}\right)+432 i \sqrt{\pi}\, {\mathrm e} \erf \left(\frac{6 i {\mathrm e}^{-1}}{x}\right)-108 \,{\mathrm e}^{2} x +432 \,{\mathrm e}^{\frac{36 \,{\mathrm e}^{-2}}{x^{2}}} {\mathrm e}^{2}+216 \,{\mathrm e}^{\frac{72 \,{\mathrm e}^{-2}}{x^{2}}} {\mathrm e}^{2}+48 \,{\mathrm e}^{\frac{108 \,{\mathrm e}^{-2}}{x^{2}}} {\mathrm e}^{2}+4 \,{\mathrm e}^{\frac{144 \,{\mathrm e}^{-2}}{x^{2}}} {\mathrm e}^{2}+4 x^{4} {\mathrm e}^{2}-12 x^{3} {\mathrm e}^{2}+81 x^{2} {\mathrm e}^{2}-1728 \expIntegralEi \left(1, -\frac{36 \,{\mathrm e}^{-2}}{x^{2}}\right)-576 \expIntegralEi \left(1, -\frac{72 \,{\mathrm e}^{-2}}{x^{2}}\right)-96 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{\frac{36 \,{\mathrm e}^{-2}}{x^{2}}} x^{2}}{2}-18 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{36 \,{\mathrm e}^{-2}}{x^{2}}\right)\right)+72 \,{\mathrm e}^{2} \left(-{\mathrm e}^{\frac{36 \,{\mathrm e}^{-2}}{x^{2}}} x -6 i {\mathrm e}^{-1} \sqrt{\pi}\, \erf \left(\frac{6 i {\mathrm e}^{-1}}{x}\right)\right)-16 \,{\mathrm e}^{2} \left(-\frac{x^{2} {\mathrm e}^{\frac{72 \,{\mathrm e}^{-2}}{x^{2}}}}{2}-36 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{72 \,{\mathrm e}^{-2}}{x^{2}}\right)\right)+12 \,{\mathrm e}^{2} \left(-{\mathrm e}^{\frac{72 \,{\mathrm e}^{-2}}{x^{2}}} x -6 i {\mathrm e}^{-2} \sqrt{\pi}\, \sqrt{2}\, {\mathrm e} \erf \left(\frac{6 i \sqrt{2}\, {\mathrm e}^{-1}}{x}\right)\right)\right)$&$337$\\ derivativedivides&$-{\mathrm e}^{-2} \left(-72 i \sqrt{\pi}\, \sqrt{2}\, {\mathrm e} \erf \left(\frac{6 i \sqrt{2}\, {\mathrm e}^{-1}}{x}\right)-432 i \sqrt{\pi}\, {\mathrm e} \erf \left(\frac{6 i {\mathrm e}^{-1}}{x}\right)+108 \,{\mathrm e}^{2} x -432 \,{\mathrm e}^{\frac{36 \,{\mathrm e}^{-2}}{x^{2}}} {\mathrm e}^{2}-216 \,{\mathrm e}^{\frac{72 \,{\mathrm e}^{-2}}{x^{2}}} {\mathrm e}^{2}-48 \,{\mathrm e}^{\frac{108 \,{\mathrm e}^{-2}}{x^{2}}} {\mathrm e}^{2}-4 \,{\mathrm e}^{\frac{144 \,{\mathrm e}^{-2}}{x^{2}}} {\mathrm e}^{2}-4 x^{4} {\mathrm e}^{2}+12 x^{3} {\mathrm e}^{2}-81 x^{2} {\mathrm e}^{2}+1728 \expIntegralEi \left(1, -\frac{36 \,{\mathrm e}^{-2}}{x^{2}}\right)+576 \expIntegralEi \left(1, -\frac{72 \,{\mathrm e}^{-2}}{x^{2}}\right)+96 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{\frac{36 \,{\mathrm e}^{-2}}{x^{2}}} x^{2}}{2}-18 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{36 \,{\mathrm e}^{-2}}{x^{2}}\right)\right)-72 \,{\mathrm e}^{2} \left(-{\mathrm e}^{\frac{36 \,{\mathrm e}^{-2}}{x^{2}}} x -6 i {\mathrm e}^{-1} \sqrt{\pi}\, \erf \left(\frac{6 i {\mathrm e}^{-1}}{x}\right)\right)+16 \,{\mathrm e}^{2} \left(-\frac{x^{2} {\mathrm e}^{\frac{72 \,{\mathrm e}^{-2}}{x^{2}}}}{2}-36 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -\frac{72 \,{\mathrm e}^{-2}}{x^{2}}\right)\right)-12 \,{\mathrm e}^{2} \left(-{\mathrm e}^{\frac{72 \,{\mathrm e}^{-2}}{x^{2}}} x -6 i {\mathrm e}^{-2} \sqrt{\pi}\, \sqrt{2}\, {\mathrm e} \erf \left(\frac{6 i \sqrt{2}\, {\mathrm e}^{-1}}{x}\right)\right)\right)$&$338$\\ \hline \end{longtable}"," ",0,"4*x^4-12*x^3+81*x^2-108*x+4*exp(144/x^2*exp(-2))+48*exp(108/x^2*exp(-2))+(8*x^2*exp(2)-12*exp(2)*x+216*exp(2))*exp(2*(-x^2+36*exp(-2))/x^2)+(48*x^2*exp(2)-72*exp(2)*x+432*exp(2))*exp(2*(-x^2+18*exp(-2))/x^2)","B"
6448,1,26,20,0.095000," ","int((12*x^2*ln(2)^2+2*(-6*x^3+2)*ln(2)+3*x^4)/(4*x^3*ln(2)^2+2*(-2*x^4+2*x)*ln(2)+x^5-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(-2 x^{2} \ln \left(2\right)+x^{3}-2\right)-\ln \left(x -2 \ln \left(2\right)\right)+\ln \left(x \right)$&$26$\\ risch&$-\ln \left(x -2 \ln \left(2\right)\right)+\ln \left(-2 x^{3} \ln \left(2\right)+x^{4}-2 x \right)$&$26$\\ norman&$-\ln \left(2 \ln \left(2\right)-x \right)+\ln \left(x \right)+\ln \left(2 x^{2} \ln \left(2\right)-x^{3}+2\right)$&$30$\\ \hline \end{longtable}"," ",0,"ln(-2*x^2*ln(2)+x^3-2)-ln(x-2*ln(2))+ln(x)","A"
6449,1,14,17,0.035000," ","int(1/9*(-6*x^2-8*x)*ln(ln(5))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{2 \ln \left(\ln \left(5\right)\right)^{2} \left(2+x \right) x^{2}}{9}$&$14$\\ default&$\frac{\ln \left(\ln \left(5\right)\right)^{2} \left(-2 x^{3}-4 x^{2}\right)}{9}$&$19$\\ norman&$-\frac{4 x^{2} \ln \left(\ln \left(5\right)\right)^{2}}{9}-\frac{2 x^{3} \ln \left(\ln \left(5\right)\right)^{2}}{9}$&$22$\\ risch&$-\frac{4 x^{2} \ln \left(\ln \left(5\right)\right)^{2}}{9}-\frac{2 x^{3} \ln \left(\ln \left(5\right)\right)^{2}}{9}$&$22$\\ \hline \end{longtable}"," ",0,"-2/9*ln(ln(5))^2*(2+x)*x^2","A"
6450,1,15,19,0.015000," ","int((9*x^2+24*x+12)*exp(x^3+4*x^2+4*x)+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x +3 \,{\mathrm e}^{x \left(2+x \right)^{2}}$&$15$\\ default&$3 x +3 \,{\mathrm e}^{x^{3}+4 x^{2}+4 x}$&$20$\\ norman&$3 x +3 \,{\mathrm e}^{x^{3}+4 x^{2}+4 x}$&$20$\\ \hline \end{longtable}"," ",0,"3*x+3*exp(x*(2+x)^2)","A"
6451,1,256,19,0.194000," ","int((((x+6)*exp(x)+x+6)*ln(3*exp(x)+3)+(5+x)*exp(x))/((5+x)*exp(x)+5+x)/ln(3*exp(x)+3)/ln(exp(ln(5+x)+x)*ln(3*exp(x)+3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left({\mathrm e}^{x}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(i \ln \left(3 \,{\mathrm e}^{x}+3\right)\right) \mathrm{csgn}\left(i \ln \left(3 \,{\mathrm e}^{x}+3\right) \left(5+x \right)\right)-\pi  \,\mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(i \ln \left(3 \,{\mathrm e}^{x}+3\right) \left(5+x \right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \ln \left(3 \,{\mathrm e}^{x}+3\right)\right) \mathrm{csgn}\left(i \ln \left(3 \,{\mathrm e}^{x}+3\right) \left(5+x \right)\right)^{2}+\pi  \mathrm{csgn}\left(i \ln \left(3 \,{\mathrm e}^{x}+3\right) \left(5+x \right)\right)^{3}-\pi  \,\mathrm{csgn}\left(i \ln \left(3 \,{\mathrm e}^{x}+3\right) \left(5+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \ln \left(3 \,{\mathrm e}^{x}+3\right) \left(5+x \right)\right)^{2}+\pi  \,\mathrm{csgn}\left(i \ln \left(3 \,{\mathrm e}^{x}+3\right) \left(5+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \ln \left(3 \,{\mathrm e}^{x}+3\right) \left(5+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)+\pi  \mathrm{csgn}\left(i {\mathrm e}^{x} \ln \left(3 \,{\mathrm e}^{x}+3\right) \left(5+x \right)\right)^{3}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{x} \ln \left(3 \,{\mathrm e}^{x}+3\right) \left(5+x \right)\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)+2 i \ln \left(5+x \right)+2 i \ln \left(\ln \left(3 \,{\mathrm e}^{x}+3\right)\right)\right)}{2}\right)$&$256$\\ \hline \end{longtable}"," ",0,"ln(ln(exp(x))-1/2*I*(Pi*csgn(I*(5+x))*csgn(I*ln(3*exp(x)+3))*csgn(I*ln(3*exp(x)+3)*(5+x))-Pi*csgn(I*(5+x))*csgn(I*ln(3*exp(x)+3)*(5+x))^2-Pi*csgn(I*ln(3*exp(x)+3))*csgn(I*ln(3*exp(x)+3)*(5+x))^2+Pi*csgn(I*ln(3*exp(x)+3)*(5+x))^3-Pi*csgn(I*ln(3*exp(x)+3)*(5+x))*csgn(I*exp(x)*ln(3*exp(x)+3)*(5+x))^2+Pi*csgn(I*ln(3*exp(x)+3)*(5+x))*csgn(I*exp(x)*ln(3*exp(x)+3)*(5+x))*csgn(I*exp(x))+Pi*csgn(I*exp(x)*ln(3*exp(x)+3)*(5+x))^3-Pi*csgn(I*exp(x)*ln(3*exp(x)+3)*(5+x))^2*csgn(I*exp(x))+2*I*ln(5+x)+2*I*ln(ln(3*exp(x)+3))))","C"
6452,1,26,20,0.498000," ","int(((x^3-3*x^2-8*x)*exp(4)+4*x^3+80*x^2-832*x+1792)*exp(x)/(4*x^2-32*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(x^{2} {\mathrm e}^{4}+4 x^{2}+92 x -432\right) {\mathrm e}^{x}}{4 x -16}$&$26$\\ risch&$\frac{\left(x^{2} {\mathrm e}^{4}+4 x^{2}+92 x -432\right) {\mathrm e}^{x}}{4 x -16}$&$26$\\ norman&$\frac{\left(1+\frac{{\mathrm e}^{4}}{4}\right) x^{2} {\mathrm e}^{x}+23 \,{\mathrm e}^{x} x -108 \,{\mathrm e}^{x}}{x -4}$&$29$\\ default&$\frac{{\mathrm e}^{4} \left({\mathrm e}^{x} x +7 \,{\mathrm e}^{x}-\frac{64 \,{\mathrm e}^{x}}{x -4}-112 \,{\mathrm e}^{4} \expIntegralEi \left(1, -x +4\right)\right)}{4}+27 \,{\mathrm e}^{x}+{\mathrm e}^{x} x -2 \,{\mathrm e}^{4} \left(-\frac{4 \,{\mathrm e}^{x}}{x -4}-5 \,{\mathrm e}^{4} \expIntegralEi \left(1, -x +4\right)\right)-\frac{3 \,{\mathrm e}^{4} \left({\mathrm e}^{x}-\frac{16 \,{\mathrm e}^{x}}{x -4}-24 \,{\mathrm e}^{4} \expIntegralEi \left(1, -x +4\right)\right)}{4}$&$95$\\ \hline \end{longtable}"," ",0,"1/4*(x^2*exp(4)+4*x^2+92*x-432)*exp(x)/(x-4)","A"
6453,1,24,23,0.095000," ","int(((x^3+7*x^2+12*x+10)*ln(5+x)-5*x^5-65*x^4-301*x^3-585*x^2-426*x-102)/(5*x^5+65*x^4+300*x^3+580*x^2+420*x+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x +1\right) \ln \left(5+x \right)}{5 \left(x^{2}+4 x +2\right)}-x$&$24$\\ norman&$\frac{-\frac{7 x^{2}}{2}-\frac{\ln \left(5+x \right)}{10}+\frac{\ln \left(5+x \right) x^{2}}{20}-x^{3}+1}{x^{2}+4 x +2}-\frac{\ln \left(5+x \right)}{20}$&$46$\\ derivativedivides&$-\frac{\ln \left(5+x \right) \left(7 \sqrt{2}\, \ln \left(\frac{-2+\sqrt{2}-x}{3+\sqrt{2}}\right) \left(5+x \right)^{2}-7 \sqrt{2}\, \ln \left(\frac{2+\sqrt{2}+x}{-3+\sqrt{2}}\right) \left(5+x \right)^{2}-42 \sqrt{2}\, \ln \left(\frac{-2+\sqrt{2}-x}{3+\sqrt{2}}\right) \left(5+x \right)+42 \sqrt{2}\, \ln \left(\frac{2+\sqrt{2}+x}{-3+\sqrt{2}}\right) \left(5+x \right)+49 \sqrt{2}\, \ln \left(\frac{-2+\sqrt{2}-x}{3+\sqrt{2}}\right)-49 \sqrt{2}\, \ln \left(\frac{2+\sqrt{2}+x}{-3+\sqrt{2}}\right)+16 \left(5+x \right)^{2}-340-68 x \right)}{140 \left(\left(5+x \right)^{2}-23-6 x \right)}+\frac{\sqrt{2}\, \ln \left(5+x \right) \ln \left(\frac{-2+\sqrt{2}-x}{3+\sqrt{2}}\right)}{20}-\frac{\sqrt{2}\, \ln \left(5+x \right) \ln \left(\frac{2+\sqrt{2}+x}{-3+\sqrt{2}}\right)}{20}-5-x +\frac{4 \ln \left(5+x \right)}{35}$&$234$\\ default&$-\frac{\ln \left(5+x \right) \left(7 \sqrt{2}\, \ln \left(\frac{-2+\sqrt{2}-x}{3+\sqrt{2}}\right) \left(5+x \right)^{2}-7 \sqrt{2}\, \ln \left(\frac{2+\sqrt{2}+x}{-3+\sqrt{2}}\right) \left(5+x \right)^{2}-42 \sqrt{2}\, \ln \left(\frac{-2+\sqrt{2}-x}{3+\sqrt{2}}\right) \left(5+x \right)+42 \sqrt{2}\, \ln \left(\frac{2+\sqrt{2}+x}{-3+\sqrt{2}}\right) \left(5+x \right)+49 \sqrt{2}\, \ln \left(\frac{-2+\sqrt{2}-x}{3+\sqrt{2}}\right)-49 \sqrt{2}\, \ln \left(\frac{2+\sqrt{2}+x}{-3+\sqrt{2}}\right)+16 \left(5+x \right)^{2}-340-68 x \right)}{140 \left(\left(5+x \right)^{2}-23-6 x \right)}+\frac{\sqrt{2}\, \ln \left(5+x \right) \ln \left(\frac{-2+\sqrt{2}-x}{3+\sqrt{2}}\right)}{20}-\frac{\sqrt{2}\, \ln \left(5+x \right) \ln \left(\frac{2+\sqrt{2}+x}{-3+\sqrt{2}}\right)}{20}-5-x +\frac{4 \ln \left(5+x \right)}{35}$&$234$\\ \hline \end{longtable}"," ",0,"-1/5*(x+1)/(x^2+4*x+2)*ln(5+x)-x","A"
6454,1,18,23,0.034000," ","int((-900*ln(1/3*x^2)-750*x-300)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{600+750 x +450 \ln \left(\frac{x^{2}}{3}\right)}{x^{2}}$&$18$\\ risch&$\frac{450 \ln \left(\frac{x^{2}}{3}\right)}{x^{2}}+\frac{750 x +600}{x^{2}}$&$23$\\ default&$-\frac{450 \ln \left(3\right)}{x^{2}}+\frac{450 \ln \left(x^{2}\right)}{x^{2}}+\frac{600}{x^{2}}+\frac{750}{x}$&$28$\\ \hline \end{longtable}"," ",0,"(600+750*x+450*ln(1/3*x^2))/x^2","A"
6455,1,42,25,0.074000," ","int((-320000000*x^5+396000000*x^4-201000000*x^3+52250000*x^2-6937500*x+375000)/((3200000*x^6-800000*x^5-2000000*x^4+1500000*x^3-437500*x^2+59375*x-3125)*ln(x+1)^5+(-800000*x^6+500000*x^4-250000*x^3+46875*x^2-3125*x)*ln(x+1)^4+(80000*x^6+20000*x^5-45000*x^4+13750*x^3-1250*x^2)*ln(x+1)^3+(-4000*x^6-2000*x^5+1750*x^4-250*x^3)*ln(x+1)^2+(100*x^6+75*x^5-25*x^4)*ln(x+1)-x^6-x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{15625 \left(64 x^{3}-48 x^{2}+12 x -1\right) \left(4 x -1\right)}{\left(20 \ln \left(x +1\right) x -5 \ln \left(x +1\right)-x \right)^{4}}$&$42$\\ \hline \end{longtable}"," ",0,"15625*(64*x^3-48*x^2+12*x-1)*(4*x-1)/(20*ln(x+1)*x-5*ln(x+1)-x)^4","A"
6456,1,26,24,0.402000," ","int((((2*x+4)*ln(2/3+1/3*x)+2*x)*ln(2*x)+(12*x^2+62*x+76)*ln(2/3+1/3*x)+6*x^2+39*x+6)/(6*x+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{x \ln \left(2 x \right)}{3}+x^{2}+6 x \right) \ln \left(\frac{2}{3}+\frac{x}{3}\right)+\frac{x}{2}$&$26$\\ norman&$\ln \left(\frac{2}{3}+\frac{x}{3}\right) x^{2}+\frac{x}{2}+6 \ln \left(\frac{2}{3}+\frac{x}{3}\right) x +\frac{\ln \left(2 x \right) \ln \left(\frac{2}{3}+\frac{x}{3}\right) x}{3}$&$37$\\ default&$\left(2+x \right)^{2} \ln \left(2+x \right)+\frac{x}{2}-\frac{20}{3}+\frac{7 \left(2+x \right) \ln \left(2+x \right)}{3}-\frac{26 \ln \left(2+x \right)}{3}-\frac{x \ln \left(2+x \right)}{3}+\frac{x \ln \left(x \right) \ln \left(2+x \right)}{3}+\frac{x \ln \left(2\right) \ln \left(2+x \right)}{3}-\frac{x \ln \left(2\right) \ln \left(3\right)}{3}-\frac{2 \ln \left(2\right)}{3}-\frac{x \ln \left(3\right) \ln \left(x \right)}{3}-x^{2} \ln \left(3\right)-6 x \ln \left(3\right)$&$86$\\ \hline \end{longtable}"," ",0,"(1/3*x*ln(2*x)+x^2+6*x)*ln(2/3+1/3*x)+1/2*x","A"
6457,1,9,8,0.042000," ","int(-1/2*exp(5)*exp(-1/2*x*exp(5)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{x \,{\mathrm e}^{5}}{2}+1}$&$9$\\ derivativedivides&${\mathrm e}^{-\frac{x \,{\mathrm e}^{5}}{2}+1}$&$9$\\ default&${\mathrm e}^{-\frac{x \,{\mathrm e}^{5}}{2}+1}$&$9$\\ norman&${\mathrm e}^{-\frac{x \,{\mathrm e}^{5}}{2}+1}$&$9$\\ risch&${\mathrm e}^{-\frac{x \,{\mathrm e}^{5}}{2}+1}$&$9$\\ meijerg&$-{\mathrm e} \left(1-{\mathrm e}^{-\frac{x \,{\mathrm e}^{5}}{2}}\right)$&$15$\\ \hline \end{longtable}"," ",0,"exp(-1/2*x*exp(5)+1)","A"
6458,1,35,24,0.512000," ","int(((-8*x^2-10*x-2)*exp(x)^2*ln(4*x^2+5*x+1)+(12*x^2+15*x+3)*exp(x)^3+((8*x^2+10*x+2)*exp(3)+8*x^3+14*x^2-x-4)*exp(x)^2)/(4*x^2+5*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{3} {\mathrm e}^{2 x}+x \,{\mathrm e}^{2 x}-{\mathrm e}^{2 x} \ln \left(\left(x +1\right) \left(4 x +1\right)\right)+{\mathrm e}^{3 x}$&$35$\\ risch&${\mathrm e}^{2 x +3}+x \,{\mathrm e}^{2 x}+{\mathrm e}^{3 x}-{\mathrm e}^{2 x} \ln \left(4 x^{2}+5 x +1\right)$&$35$\\ \hline \end{longtable}"," ",0,"exp(3)*exp(2*x)+x*exp(2*x)-exp(2*x)*ln((x+1)*(4*x+1))+exp(3*x)","A"
6459,1,59,32,0.577000," ","int((((960*x^3+480*x^2)*exp(4)^4+(-4960*x^2-2080*x)*exp(4)^2+6240*x+3120)*exp(x)^2+((-2880*x^3-2880*x^2)*exp(4)^4+(14880*x^2+12480*x)*exp(4)^2-18720*x-18720)*exp(x)+4320*x^2*exp(4)^4-18720*x*exp(4)^2+28080)/(36*x^2*exp(4)^4-156*x*exp(4)^2+169),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$120 x -\frac{650 \,{\mathrm e}^{-8}}{3 \left(x \,{\mathrm e}^{8}-\frac{13}{6}\right)}+\frac{80 x \left(x \,{\mathrm e}^{8}-3\right) {\mathrm e}^{2 x}}{6 x \,{\mathrm e}^{8}-13}-\frac{480 x \left(x \,{\mathrm e}^{8}-3\right) {\mathrm e}^{x}}{6 x \,{\mathrm e}^{8}-13}$&$59$\\ norman&$\frac{-2160 x -240 x \,{\mathrm e}^{2 x}+720 x^{2} {\mathrm e}^{8}+1440 \,{\mathrm e}^{x} x -480 \,{\mathrm e}^{8} {\mathrm e}^{x} x^{2}+80 \,{\mathrm e}^{8} {\mathrm e}^{2 x} x^{2}}{6 x \,{\mathrm e}^{8}-13}$&$62$\\ default&$\frac{960 x}{6 x \,{\mathrm e}^{8}-13}+\frac{3120 \,{\mathrm e}^{x} {\mathrm e}^{-8}}{6 x \,{\mathrm e}^{8}-13}+520 \left({\mathrm e}^{-8}\right)^{2} {\mathrm e}^{\frac{13 \,{\mathrm e}^{-8}}{6}} \expIntegralEi \left(1, -x +\frac{13 \,{\mathrm e}^{-8}}{6}\right)-\frac{520 \,{\mathrm e}^{2 x} {\mathrm e}^{-8}}{6 x \,{\mathrm e}^{8}-13}-\frac{520 \left({\mathrm e}^{-8}\right)^{2} {\mathrm e}^{\frac{13 \,{\mathrm e}^{-8}}{3}} \expIntegralEi \left(1, -2 x +\frac{13 \,{\mathrm e}^{-8}}{3}\right)}{3}-\frac{6760 \,{\mathrm e}^{2 x} {\mathrm e}^{-16}}{3 \left(6 x \,{\mathrm e}^{8}-13\right)}-\frac{520 \left(3 \,{\mathrm e}^{8}+13\right) {\mathrm e}^{-16} {\mathrm e}^{-8} {\mathrm e}^{\frac{13 \,{\mathrm e}^{-8}}{3}} \expIntegralEi \left(1, -2 x +\frac{13 \,{\mathrm e}^{-8}}{3}\right)}{9}+\frac{-3120 x +720 x^{2} {\mathrm e}^{8}}{6 x \,{\mathrm e}^{8}-13}+\frac{6760 \,{\mathrm e}^{x} {\mathrm e}^{-16}}{6 x \,{\mathrm e}^{8}-13}+\frac{260 \left(6 \,{\mathrm e}^{8}+13\right) {\mathrm e}^{-16} {\mathrm e}^{-8} {\mathrm e}^{\frac{13 \,{\mathrm e}^{-8}}{6}} \expIntegralEi \left(1, -x +\frac{13 \,{\mathrm e}^{-8}}{6}\right)}{3}-2080 \,{\mathrm e}^{8} \left(-\frac{13 \,{\mathrm e}^{2 x} {\mathrm e}^{-16}}{36 \left(6 x \,{\mathrm e}^{8}-13\right)}-\frac{\left(3 \,{\mathrm e}^{8}+13\right) {\mathrm e}^{-16} {\mathrm e}^{-8} {\mathrm e}^{\frac{13 \,{\mathrm e}^{-8}}{3}} \expIntegralEi \left(1, -2 x +\frac{13 \,{\mathrm e}^{-8}}{3}\right)}{108}\right)+12480 \,{\mathrm e}^{8} \left(-\frac{13 \,{\mathrm e}^{x} {\mathrm e}^{-16}}{36 \left(6 x \,{\mathrm e}^{8}-13\right)}-\frac{\left(6 \,{\mathrm e}^{8}+13\right) {\mathrm e}^{-16} {\mathrm e}^{-8} {\mathrm e}^{\frac{13 \,{\mathrm e}^{-8}}{6}} \expIntegralEi \left(1, -x +\frac{13 \,{\mathrm e}^{-8}}{6}\right)}{216}\right)+14880 \,{\mathrm e}^{8} \left(\frac{{\mathrm e}^{x} {\mathrm e}^{-16}}{36}-\frac{169 \,{\mathrm e}^{x} {\mathrm e}^{-24}}{216 \left(6 x \,{\mathrm e}^{8}-13\right)}-\frac{13 \left(12 \,{\mathrm e}^{8}+13\right) \left({\mathrm e}^{-8}\right)^{2} {\mathrm e}^{-16} {\mathrm e}^{\frac{13 \,{\mathrm e}^{-8}}{6}} \expIntegralEi \left(1, -x +\frac{13 \,{\mathrm e}^{-8}}{6}\right)}{1296}\right)-4960 \,{\mathrm e}^{8} \left(\frac{{\mathrm e}^{2 x} {\mathrm e}^{-16}}{72}-\frac{169 \,{\mathrm e}^{2 x} {\mathrm e}^{-24}}{216 \left(6 x \,{\mathrm e}^{8}-13\right)}-\frac{13 \left(6 \,{\mathrm e}^{8}+13\right) \left({\mathrm e}^{-8}\right)^{2} {\mathrm e}^{-16} {\mathrm e}^{\frac{13 \,{\mathrm e}^{-8}}{3}} \expIntegralEi \left(1, -2 x +\frac{13 \,{\mathrm e}^{-8}}{3}\right)}{648}\right)-2880 \,{\mathrm e}^{16} \left(\frac{{\mathrm e}^{x} {\mathrm e}^{-16}}{36}-\frac{169 \,{\mathrm e}^{x} {\mathrm e}^{-24}}{216 \left(6 x \,{\mathrm e}^{8}-13\right)}-\frac{13 \left(12 \,{\mathrm e}^{8}+13\right) \left({\mathrm e}^{-8}\right)^{2} {\mathrm e}^{-16} {\mathrm e}^{\frac{13 \,{\mathrm e}^{-8}}{6}} \expIntegralEi \left(1, -x +\frac{13 \,{\mathrm e}^{-8}}{6}\right)}{1296}\right)-2880 \,{\mathrm e}^{16} \left(\frac{\left(3 x \,{\mathrm e}^{8}+13-3 \,{\mathrm e}^{8}\right) {\mathrm e}^{x} {\mathrm e}^{-24}}{108}-\frac{2197 \,{\mathrm e}^{x} {\mathrm e}^{-32}}{1296 \left(6 x \,{\mathrm e}^{8}-13\right)}-\frac{169 \left(18 \,{\mathrm e}^{8}+13\right) \left({\mathrm e}^{-8}\right)^{2} {\mathrm e}^{-24} {\mathrm e}^{\frac{13 \,{\mathrm e}^{-8}}{6}} \expIntegralEi \left(1, -x +\frac{13 \,{\mathrm e}^{-8}}{6}\right)}{7776}\right)+480 \,{\mathrm e}^{16} \left(\frac{{\mathrm e}^{2 x} {\mathrm e}^{-16}}{72}-\frac{169 \,{\mathrm e}^{2 x} {\mathrm e}^{-24}}{216 \left(6 x \,{\mathrm e}^{8}-13\right)}-\frac{13 \left(6 \,{\mathrm e}^{8}+13\right) \left({\mathrm e}^{-8}\right)^{2} {\mathrm e}^{-16} {\mathrm e}^{\frac{13 \,{\mathrm e}^{-8}}{3}} \expIntegralEi \left(1, -2 x +\frac{13 \,{\mathrm e}^{-8}}{3}\right)}{648}\right)+960 \,{\mathrm e}^{16} \left(\frac{\left(6 x \,{\mathrm e}^{8}-3 \,{\mathrm e}^{8}+26\right) {\mathrm e}^{2 x} {\mathrm e}^{-24}}{432}-\frac{2197 \,{\mathrm e}^{2 x} {\mathrm e}^{-32}}{1296 \left(6 x \,{\mathrm e}^{8}-13\right)}-\frac{169 \left(9 \,{\mathrm e}^{8}+13\right) \left({\mathrm e}^{-8}\right)^{2} {\mathrm e}^{-24} {\mathrm e}^{\frac{13 \,{\mathrm e}^{-8}}{3}} \expIntegralEi \left(1, -2 x +\frac{13 \,{\mathrm e}^{-8}}{3}\right)}{3888}\right)$&$829$\\ \hline \end{longtable}"," ",0,"120*x-650/3*exp(-8)/(x*exp(8)-13/6)+80*x*(x*exp(8)-3)/(6*x*exp(8)-13)*exp(2*x)-480*x*(x*exp(8)-3)/(6*x*exp(8)-13)*exp(x)","A"
6460,1,18,17,0.388000," ","int(((2*ln(2)+4+x)*ln((2*ln(2)+4+x)/ln(2))-x)/(2*ln(2)+4+x)/ln((2*ln(2)+4+x)/ln(2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{\ln \left(\frac{2 \ln \left(2\right)+4+x}{\ln \left(2\right)}\right)}$&$18$\\ risch&$\frac{x}{\ln \left(\frac{2 \ln \left(2\right)+4+x}{\ln \left(2\right)}\right)}$&$18$\\ derivativedivides&$\ln \left(2\right) \left(\frac{\frac{x}{\ln \left(2\right)}+\frac{4+2 \ln \left(2\right)}{\ln \left(2\right)}}{\ln \left(\frac{x}{\ln \left(2\right)}+\frac{4+2 \ln \left(2\right)}{\ln \left(2\right)}\right)}-\frac{2}{\ln \left(\frac{x}{\ln \left(2\right)}+\frac{4+2 \ln \left(2\right)}{\ln \left(2\right)}\right)}-\frac{4}{\ln \left(2\right) \ln \left(\frac{x}{\ln \left(2\right)}+\frac{4+2 \ln \left(2\right)}{\ln \left(2\right)}\right)}\right)$&$91$\\ default&$\ln \left(2\right) \left(\frac{\frac{x}{\ln \left(2\right)}+\frac{4+2 \ln \left(2\right)}{\ln \left(2\right)}}{\ln \left(\frac{x}{\ln \left(2\right)}+\frac{4+2 \ln \left(2\right)}{\ln \left(2\right)}\right)}-\frac{2}{\ln \left(\frac{x}{\ln \left(2\right)}+\frac{4+2 \ln \left(2\right)}{\ln \left(2\right)}\right)}-\frac{4}{\ln \left(2\right) \ln \left(\frac{x}{\ln \left(2\right)}+\frac{4+2 \ln \left(2\right)}{\ln \left(2\right)}\right)}\right)$&$91$\\ \hline \end{longtable}"," ",0,"x/ln((2*ln(2)+4+x)/ln(2))","A"
6461,1,32,14,0.114000," ","int(((7+2*x)*exp(3)^3+(6*x^2+81*x+210)*exp(3)^2+(6*x^3+141*x^2+1020*x+2104)*exp(3)+2*x^4+67*x^3+810*x^2+4096*x+7040)/(exp(3)^3+(3*x+30)*exp(3)^2+(3*x^2+60*x+300)*exp(3)+x^3+30*x^2+300*x+1000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+7 x +\frac{4 x}{{\mathrm e}^{6}+2 x \,{\mathrm e}^{3}+x^{2}+20 \,{\mathrm e}^{3}+20 x +100}$&$32$\\ norman&$\frac{x^{4}+\left(27+2 \,{\mathrm e}^{3}\right) x^{3}-24000+\left(-2 \,{\mathrm e}^{9}-81 \,{\mathrm e}^{6}-1020 \,{\mathrm e}^{3}-4096\right) x -{\mathrm e}^{12}-54 \,{\mathrm e}^{9}-1020 \,{\mathrm e}^{6}-8200 \,{\mathrm e}^{3}}{\left(10+{\mathrm e}^{3}+x \right)^{2}}$&$66$\\ default&$7 x +x^{2}+\frac{4 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+\left(3 \,{\mathrm e}^{3}+30\right) \textit{\_Z}^{2}+\left(60 \,{\mathrm e}^{3}+3 \,{\mathrm e}^{6}+300\right) \textit{\_Z} +300 \,{\mathrm e}^{3}+{\mathrm e}^{9}+30 \,{\mathrm e}^{6}+1000\right)}{\sum}\frac{\left(10-\textit{\_R} +{\mathrm e}^{3}\right) \ln \left(x -\textit{\_R} \right)}{100+{\mathrm e}^{6}+2 \textit{\_R} \,{\mathrm e}^{3}+\textit{\_R}^{2}+20 \,{\mathrm e}^{3}+20 \textit{\_R}}\right)}{3}$&$86$\\ gosper&$-\frac{{\mathrm e}^{12}+2 x \,{\mathrm e}^{9}-2 x^{3} {\mathrm e}^{3}-x^{4}+54 \,{\mathrm e}^{9}+81 x \,{\mathrm e}^{6}-27 x^{3}+1020 \,{\mathrm e}^{6}+1020 x \,{\mathrm e}^{3}+8200 \,{\mathrm e}^{3}+4096 x +24000}{{\mathrm e}^{6}+2 x \,{\mathrm e}^{3}+x^{2}+20 \,{\mathrm e}^{3}+20 x +100}$&$87$\\ \hline \end{longtable}"," ",0,"x^2+7*x+4*x/(exp(6)+2*x*exp(3)+x^2+20*exp(3)+20*x+100)","B"
6462,1,14,15,0.073000," ","int(((4*x+4)*exp(x)+1)*exp(4*exp(x)*x+x)+exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{4 \,{\mathrm e}^{x} x +x}+x \,{\mathrm e}^{3}$&$14$\\ norman&${\mathrm e}^{4 \,{\mathrm e}^{x} x +x}+x \,{\mathrm e}^{3}$&$14$\\ risch&${\mathrm e}^{x \left(4 \,{\mathrm e}^{x}+1\right)}+x \,{\mathrm e}^{3}$&$15$\\ \hline \end{longtable}"," ",0,"exp(4*exp(x)*x+x)+x*exp(3)","A"
6463,1,54,31,0.619000," ","int((((x^2-8*x-16)*exp(7)^2+(-x^4+4*x^3-32*x^2-64*x)*exp(7)-2*x^5+4*x^4-32*x^3-64*x^2)*ln(((x^2-8*x-16)*exp(7)-x^4+2*x^3-16*x^2-32*x)/(x^2*exp(7)+2*x^3))+((x^2-8*x-16)*exp(4)+8*x+32)*exp(7)^2+((-x^4+4*x^3-32*x^2-64*x)*exp(4)-2*x^4+32*x^2+128*x)*exp(7)+(-2*x^5+4*x^4-32*x^3-64*x^2)*exp(4)-2*x^5+32*x^3+128*x^2)/((x^2-8*x-16)*exp(7)^2+(-x^4+4*x^3-32*x^2-64*x)*exp(7)-2*x^5+4*x^4-32*x^3-64*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \,{\mathrm e}^{4}+x \ln \left(\frac{\left(x^{2}-8 x -16\right) {\mathrm e}^{7}-x^{4}+2 x^{3}-16 x^{2}-32 x}{x^{2} {\mathrm e}^{7}+2 x^{3}}\right)$&$54$\\ risch&$x \,{\mathrm e}^{4}+x \ln \left(\frac{\left(x^{2}-8 x -16\right) {\mathrm e}^{7}-x^{4}+2 x^{3}-16 x^{2}-32 x}{x^{2} {\mathrm e}^{7}+2 x^{3}}\right)$&$54$\\ default&$x \,{\mathrm e}^{4}+\frac{\left(\munderset{\textit{\_R} =\RootOf \left(2 \textit{\_Z}^{5}+\left({\mathrm e}^{7}-4\right) \textit{\_Z}^{4}+\left(-4 \,{\mathrm e}^{7}+32\right) \textit{\_Z}^{3}+\left(32 \,{\mathrm e}^{7}-{\mathrm e}^{14}+64\right) \textit{\_Z}^{2}+\left(64 \,{\mathrm e}^{7}+8 \,{\mathrm e}^{14}\right) \textit{\_Z} +16 \,{\mathrm e}^{14}\right)}{\sum}\frac{\left(\left({\mathrm e}^{7}+4\right) \textit{\_R}^{4}+4 \left({\mathrm e}^{7}-16\right) \textit{\_R}^{3}+\left(-64 \,{\mathrm e}^{7}+{\mathrm e}^{14}-192\right) \textit{\_R}^{2}+16 \left(-12 \,{\mathrm e}^{7}-{\mathrm e}^{14}\right) \textit{\_R} -48 \,{\mathrm e}^{14}\right) \ln \left(x -\textit{\_R} \right)}{2 \textit{\_R}^{3} {\mathrm e}^{7}+5 \textit{\_R}^{4}-6 \textit{\_R}^{2} {\mathrm e}^{7}-8 \textit{\_R}^{3}+32 \textit{\_R} \,{\mathrm e}^{7}-{\mathrm e}^{14} \textit{\_R} +48 \textit{\_R}^{2}+32 \,{\mathrm e}^{7}+4 \,{\mathrm e}^{14}+64 \textit{\_R}}\right)}{2}+x \ln \left(\frac{-x^{4}+x^{2} {\mathrm e}^{7}+2 x^{3}-8 x \,{\mathrm e}^{7}-16 x^{2}-16 \,{\mathrm e}^{7}-32 x}{x^{2} \left({\mathrm e}^{7}+2 x \right)}\right)+{\mathrm e}^{-28} \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}-2 \textit{\_Z}^{3}+\left(-{\mathrm e}^{7}+16\right) \textit{\_Z}^{2}+\left(8 \,{\mathrm e}^{7}+32\right) \textit{\_Z} +16 \,{\mathrm e}^{7}\right)}{\sum}\frac{\left(\textit{\_R}^{3} {\mathrm e}^{28}+\left(-16 \,{\mathrm e}^{28}+{\mathrm e}^{35}\right) \textit{\_R}^{2}+12 \left(-4 \,{\mathrm e}^{28}-{\mathrm e}^{35}\right) \textit{\_R} -32 \,{\mathrm e}^{35}\right) \ln \left(x -\textit{\_R} \right)}{-16-2 \textit{\_R}^{3}+\textit{\_R} \,{\mathrm e}^{7}+3 \textit{\_R}^{2}-4 \,{\mathrm e}^{7}-16 \textit{\_R}}\right)-\frac{{\mathrm e}^{7} \ln \left({\mathrm e}^{7}+2 x \right)}{2}+2 \ln \left({\mathrm e}^{7}+2 x \right)+64 \,{\mathrm e}^{-7} \ln \left({\mathrm e}^{7}+2 x \right)-2 \,{\mathrm e}^{-14} \ln \left({\mathrm e}^{7}+2 x \right) {\mathrm e}^{14}-384 \,{\mathrm e}^{-14} \ln \left({\mathrm e}^{7}+2 x \right)-64 \,{\mathrm e}^{-21} \ln \left({\mathrm e}^{7}+2 x \right) {\mathrm e}^{14}+384 \,{\mathrm e}^{-28} \ln \left({\mathrm e}^{7}+2 x \right) {\mathrm e}^{14}$&$415$\\ \hline \end{longtable}"," ",0,"x*exp(4)+x*ln(((x^2-8*x-16)*exp(7)-x^4+2*x^3-16*x^2-32*x)/(x^2*exp(7)+2*x^3))","A"
6464,1,42,29,0.083000," ","int(((-4*exp(2)-4*x)*ln(x+exp(2))^4+(32*exp(2)+32*x)*ln(x+exp(2))^3+(((x^3+x^2)*exp(2)+x^4+x^3)*exp(x)-100*exp(2)-100*x)*ln(x+exp(2))^2+(((-4*x^3-4*x^2)*exp(2)-4*x^4-6*x^3)*exp(x)+144*exp(2)+136*x)*ln(x+exp(2))+((4*x^3+4*x^2)*exp(2)+4*x^4+8*x^3)*exp(x)-80*exp(2)-64*x)/((16*exp(2)+16*x)*ln(x+exp(2))^4+(-128*exp(2)-128*x)*ln(x+exp(2))^3+((8*x^2*exp(2)+8*x^3)*exp(x)+416*exp(2)+416*x)*ln(x+exp(2))^2+((-32*x^2*exp(2)-32*x^3)*exp(x)-640*exp(2)-640*x)*ln(x+exp(2))+(x^4*exp(2)+x^5)*exp(x)^2+(40*x^2*exp(2)+40*x^3)*exp(x)+400*exp(2)+400*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{4}+\frac{x \left({\mathrm e}^{x} x^{2}+4\right)}{4 \,{\mathrm e}^{x} x^{2}+16 \ln \left(x +{\mathrm e}^{2}\right)^{2}-64 \ln \left(x +{\mathrm e}^{2}\right)+80}$&$42$\\ \hline \end{longtable}"," ",0,"-1/4*x+1/4*x*(exp(x)*x^2+4)/(exp(x)*x^2+4*ln(x+exp(2))^2-16*ln(x+exp(2))+20)","A"
6465,1,47,27,2.483000," ","int((((-16*x^4+8*x^2)*exp(4)+48*x^4-24*x^2)*exp(x^2)^2+((-16*x^5-56*x^3+96*x)*exp(4)+48*x^5+168*x^3-288*x)*exp(x^2)+(64*x^2+256)*exp(4)-192*x^2-768)*exp(((-4*x^2*exp(4)+12*x^2)*exp(x^2)^2+((-8*x^3-32*x)*exp(4)+24*x^3+96*x)*exp(x^2)+(-4*x^4-32*x^2-64)*exp(4)+12*x^4+96*x^2+192)/x^4)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{4 \left(2 x^{3} {\mathrm e}^{x^{2}}+x^{4}+{\mathrm e}^{2 x^{2}} x^{2}+8 \,{\mathrm e}^{x^{2}} x +8 x^{2}+16\right) \left({\mathrm e}^{4}-3\right)}{x^{4}}}$&$47$\\ \hline \end{longtable}"," ",0,"exp(-4*(2*x^3*exp(x^2)+x^4+exp(2*x^2)*x^2+8*exp(x^2)*x+8*x^2+16)*(exp(4)-3)/x^4)","A"
6466,1,35,28,0.151000," ","int((2*ln(ln(2)+x)*exp(exp(x^2))^2+(((4*x^3*ln(2)+4*x^4)*exp(x^2)-4*x*ln(2)-4*x^2)*ln(ln(2)+x)^2+4*x*ln(ln(2)+x))*exp(exp(x^2))+(-2*x^2*ln(2)-2*x^3)*ln(ln(2)+x)^2+2*x^2*ln(ln(2)+x))/((ln(2)+x)*exp(exp(x^2))^2+(2*x*ln(2)+2*x^2)*exp(exp(x^2))+x^2*ln(2)+x^3)/exp((-5*exp(exp(x^2))+x^2-5*x)/(exp(exp(x^2))+x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(2\right)+x \right)^{2} {\mathrm e}^{-\frac{2 \left(-5 \,{\mathrm e}^{{\mathrm e}^{x^{2}}}+x^{2}-5 x \right)}{{\mathrm e}^{{\mathrm e}^{x^{2}}}+x}}$&$35$\\ \hline \end{longtable}"," ",0,"ln(ln(2)+x)^2*exp(-2*(-5*exp(exp(x^2))+x^2-5*x)/(exp(exp(x^2))+x))","A"
6467,1,5,10,0.007000," ","int(-1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)$&$5$\\ norman&$-\ln \left(x \right)$&$5$\\ risch&$-\ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"-ln(x)","A"
6468,1,537,18,0.265000," ","int((((2*x^3+8*x^2)*exp(x)^2+(4*x^4+16*x^3+5)*exp(x)+2*x^5+8*x^4+5*x)*ln(((2*x^3+8*x^2)*exp(x)+2*x^4+8*x^3+5)/(2*exp(x)*x^2+2*x^3))+2*exp(x)^2*x^3+(4*x^4-5*x-10)*exp(x)+2*x^5-15*x)/((10*x^3+40*x^2)*exp(x)^2+(20*x^4+80*x^3+25)*exp(x)+10*x^5+40*x^4+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(\frac{5}{2}+x^{4}+\left({\mathrm e}^{x}+4\right) x^{3}+4 \,{\mathrm e}^{x} x^{2}\right)}{5}-\frac{x \ln \left({\mathrm e}^{x}+x \right)}{5}-\frac{2 x \ln \left(x \right)}{5}+\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{10}-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{5}+\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{10}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+x}\right) \mathrm{csgn}\left(i \left(\frac{5}{2}+x^{4}+\left({\mathrm e}^{x}+4\right) x^{3}+4 \,{\mathrm e}^{x} x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{5}{2}+x^{4}+\left({\mathrm e}^{x}+4\right) x^{3}+4 \,{\mathrm e}^{x} x^{2}\right)}{{\mathrm e}^{x}+x}\right)}{10}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{5}{2}+x^{4}+\left({\mathrm e}^{x}+4\right) x^{3}+4 \,{\mathrm e}^{x} x^{2}\right)}{{\mathrm e}^{x}+x}\right)^{2}}{10}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(\frac{5}{2}+x^{4}+\left({\mathrm e}^{x}+4\right) x^{3}+4 \,{\mathrm e}^{x} x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{5}{2}+x^{4}+\left({\mathrm e}^{x}+4\right) x^{3}+4 \,{\mathrm e}^{x} x^{2}\right)}{{\mathrm e}^{x}+x}\right)^{2}}{10}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(\frac{5}{2}+x^{4}+\left({\mathrm e}^{x}+4\right) x^{3}+4 \,{\mathrm e}^{x} x^{2}\right)}{{\mathrm e}^{x}+x}\right)^{3}}{10}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i \left(\frac{5}{2}+x^{4}+\left({\mathrm e}^{x}+4\right) x^{3}+4 \,{\mathrm e}^{x} x^{2}\right)}{{\mathrm e}^{x}+x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{5}{2}+x^{4}+\left({\mathrm e}^{x}+4\right) x^{3}+4 \,{\mathrm e}^{x} x^{2}\right)}{x^{2} \left({\mathrm e}^{x}+x \right)}\right)^{2}}{10}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i \left(\frac{5}{2}+x^{4}+\left({\mathrm e}^{x}+4\right) x^{3}+4 \,{\mathrm e}^{x} x^{2}\right)}{{\mathrm e}^{x}+x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{5}{2}+x^{4}+\left({\mathrm e}^{x}+4\right) x^{3}+4 \,{\mathrm e}^{x} x^{2}\right)}{x^{2} \left({\mathrm e}^{x}+x \right)}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right)}{10}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(\frac{5}{2}+x^{4}+\left({\mathrm e}^{x}+4\right) x^{3}+4 \,{\mathrm e}^{x} x^{2}\right)}{x^{2} \left({\mathrm e}^{x}+x \right)}\right)^{3}}{10}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(\frac{5}{2}+x^{4}+\left({\mathrm e}^{x}+4\right) x^{3}+4 \,{\mathrm e}^{x} x^{2}\right)}{x^{2} \left({\mathrm e}^{x}+x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)}{10}$&$537$\\ \hline \end{longtable}"," ",0,"1/5*x*ln(5/2+x^4+(exp(x)+4)*x^3+4*exp(x)*x^2)-1/5*x*ln(exp(x)+x)-2/5*x*ln(x)+1/10*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)-1/5*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2+1/10*I*Pi*x*csgn(I*x^2)^3-1/10*I*Pi*x*csgn(I/(exp(x)+x))*csgn(I*(5/2+x^4+(exp(x)+4)*x^3+4*exp(x)*x^2))*csgn(I/(exp(x)+x)*(5/2+x^4+(exp(x)+4)*x^3+4*exp(x)*x^2))+1/10*I*Pi*x*csgn(I/(exp(x)+x))*csgn(I/(exp(x)+x)*(5/2+x^4+(exp(x)+4)*x^3+4*exp(x)*x^2))^2+1/10*I*Pi*x*csgn(I*(5/2+x^4+(exp(x)+4)*x^3+4*exp(x)*x^2))*csgn(I/(exp(x)+x)*(5/2+x^4+(exp(x)+4)*x^3+4*exp(x)*x^2))^2-1/10*I*Pi*x*csgn(I/(exp(x)+x)*(5/2+x^4+(exp(x)+4)*x^3+4*exp(x)*x^2))^3+1/10*I*Pi*x*csgn(I/(exp(x)+x)*(5/2+x^4+(exp(x)+4)*x^3+4*exp(x)*x^2))*csgn(I/x^2*(5/2+x^4+(exp(x)+4)*x^3+4*exp(x)*x^2)/(exp(x)+x))^2-1/10*I*Pi*x*csgn(I/(exp(x)+x)*(5/2+x^4+(exp(x)+4)*x^3+4*exp(x)*x^2))*csgn(I/x^2*(5/2+x^4+(exp(x)+4)*x^3+4*exp(x)*x^2)/(exp(x)+x))*csgn(I/x^2)-1/10*I*Pi*x*csgn(I/x^2*(5/2+x^4+(exp(x)+4)*x^3+4*exp(x)*x^2)/(exp(x)+x))^3+1/10*I*Pi*x*csgn(I/x^2*(5/2+x^4+(exp(x)+4)*x^3+4*exp(x)*x^2)/(exp(x)+x))^2*csgn(I/x^2)","C"
6469,1,25,25,0.192000," ","int((-x^2*exp(1/3*exp(exp(3)))+(-x^2+6*x-4)*exp(x))/((x^3-4*x^2)*exp(1/3*exp(exp(3)))+(-x^2+4*x)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x^{2}-4 x \right)+\ln \left({\mathrm e}^{x}-x \,{\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{3}}}{3}}\right)$&$25$\\ norman&$-\ln \left(x \right)-\ln \left(x -4\right)+\ln \left(x \,{\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{3}}}{3}}-{\mathrm e}^{x}\right)$&$26$\\ \hline \end{longtable}"," ",0,"-ln(x^2-4*x)+ln(exp(x)-x*exp(1/3*exp(exp(3))))","A"
6470,1,27,33,0.284000," ","int(((4-exp(1))*ln(x)^2+(exp(4)-x^2-5)*ln(x)+exp(4)+x^2-x-5)/((exp(1)^2-8*exp(1)+16)*ln(x)^2+((-2*exp(1)+8)*exp(4)+(-2*x^2+2*x+10)*exp(1)+8*x^2-8*x-40)*ln(x)+exp(4)^2+(2*x^2-2*x-10)*exp(4)+x^4-2*x^3-9*x^2+10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \ln \left(x \right)}{-{\mathrm e} \ln \left(x \right)+x^{2}+{\mathrm e}^{4}-x +4 \ln \left(x \right)-5}$&$27$\\ risch&$-\frac{x}{{\mathrm e}-4}+\frac{x \left({\mathrm e}^{4}+x^{2}-x -5\right)}{\left({\mathrm e}-4\right) \left(-{\mathrm e} \ln \left(x \right)+x^{2}+{\mathrm e}^{4}-x +4 \ln \left(x \right)-5\right)}$&$51$\\ \hline \end{longtable}"," ",0,"x*ln(x)/(-exp(1)*ln(x)+x^2+exp(4)-x+4*ln(x)-5)","A"
6471,1,18,17,0.085000," ","int((-x*ln(x)+(1-x)*exp(3)+x^2-2*x)/x/exp(3)/exp(x/exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(2+\ln \left(x \right)-x \right) {\mathrm e}^{-{\mathrm e}^{-3} x}$&$18$\\ risch&${\mathrm e}^{-{\mathrm e}^{-3} x} \ln \left(x \right)-\left(x -2\right) {\mathrm e}^{-{\mathrm e}^{-3} x}$&$22$\\ \hline \end{longtable}"," ",0,"(2+ln(x)-x)/exp(x/exp(3))","A"
6472,1,20,20,0.213000," ","int(((-8*x^2-2*x+10)*exp(x-2)^2+8*x+1)*exp(exp(x-2)^2)/(16*x^4+8*x^3-39*x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{{\mathrm e}^{{\mathrm e}^{2 x -4}}}{4 x^{2}+x -5}$&$20$\\ risch&$-\frac{{\mathrm e}^{{\mathrm e}^{2 x -4}}}{4 x^{2}+x -5}$&$20$\\ \hline \end{longtable}"," ",0,"-exp(exp(x-2)^2)/(4*x^2+x-5)","A"
6473,1,31,18,0.109000," ","int(1/2*((-5*ln(x)+5)*ln(5*x)+((-5*x-5)*exp(5-x)+5)*ln(x)+5*exp(5-x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \ln \left(x \right)^{2}}{2 x}+\frac{5 \left(2 \ln \left(5\right)+2 \,{\mathrm e}^{5-x}\right) \ln \left(x \right)}{4 x}$&$31$\\ default&$\frac{5 \ln \left(x \right) \ln \left(5\right)}{2 x}+\frac{5 \ln \left(5\right)}{2 x}+\frac{5 \ln \left(x \right)^{2}}{2 x}+\frac{5 \ln \left(x \right)}{2 x}+\frac{5 \ln \left(x \right) {\mathrm e}^{5-x}}{2 x}-\frac{5 \ln \left(5 x \right)}{2 x}$&$56$\\ \hline \end{longtable}"," ",0,"5/2*ln(x)^2/x+5/4*(2*ln(5)+2*exp(5-x))/x*ln(x)","A"
6474,0,0,26,180.000000," ","int(((-9*x+2)*exp(x)+(x-2)*exp(2)^2)/(3*exp(x)-3*exp(2)^2)/exp(4*ln((exp(x)^2-2*exp(2)^2*exp(x)+exp(2)^4)/exp(2)^4)+x-ln(x)),x)","\[\int \frac{\left(\left(-9 x +2\right) {\mathrm e}^{x}+\left(x -2\right) {\mathrm e}^{4}\right) x \,{\mathrm e}^{-x +32}}{\left(3 \,{\mathrm e}^{x}-3 \,{\mathrm e}^{4}\right) \left({\mathrm e}^{2 x}-2 \,{\mathrm e}^{4+x}+{\mathrm e}^{8}\right)^{4}}\, dx\]"," ",0,"int(((-9*x+2)*exp(x)+(x-2)*exp(2)^2)/(3*exp(x)-3*exp(2)^2)/exp(4*ln((exp(x)^2-2*exp(2)^2*exp(x)+exp(2)^4)/exp(2)^4)+x-ln(x)),x)","F"
6475,1,34,35,0.091000," ","int(((-2*x^4+24*x^3-36*x^2-88*x+31)*exp(x)-14*x^4+40*x^3+36*x^2-40*x+49)/((2*x^4-8*x^3-12*x^2+40*x+49)*exp(x)-2*x^5+8*x^4+12*x^3-40*x^2-49*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x -{\mathrm e}^{x}\right)+2 \ln \left(2 x^{4}-8 x^{3}-12 x^{2}+40 x +49\right)$&$34$\\ risch&$2 \ln \left(2 x^{4}-8 x^{3}-12 x^{2}+40 x +49\right)-\ln \left({\mathrm e}^{x}-x \right)$&$34$\\ \hline \end{longtable}"," ",0,"-ln(x-exp(x))+2*ln(2*x^4-8*x^3-12*x^2+40*x+49)","A"
6476,1,21,17,0.062000," ","int((exp(2)^2-8*exp(2)+16-2*x)*exp(x*exp(2)^2-8*exp(2)*x-x^2+16*x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x \,{\mathrm e}^{4}-8 \,{\mathrm e}^{2} x -x^{2}+16 x +3}$&$21$\\ gosper&${\mathrm e}^{x \,{\mathrm e}^{4}-8 \,{\mathrm e}^{2} x -x^{2}+16 x +3}$&$23$\\ derivativedivides&${\mathrm e}^{x \,{\mathrm e}^{4}-8 \,{\mathrm e}^{2} x -x^{2}+16 x +3}$&$23$\\ default&${\mathrm e}^{x \,{\mathrm e}^{4}-8 \,{\mathrm e}^{2} x -x^{2}+16 x +3}$&$23$\\ norman&${\mathrm e}^{x \,{\mathrm e}^{4}-8 \,{\mathrm e}^{2} x -x^{2}+16 x +3}$&$23$\\ \hline \end{longtable}"," ",0,"exp(x*exp(4)-8*exp(2)*x-x^2+16*x+3)","A"
6477,1,121,23,0.113000," ","int((((6-4*x)*ln(x)+6-2*x)*ln(x^2-6*x+9)+(8*x^6-72*x^5+216*x^4-216*x^3)*ln(x)^3+2*x*ln(x))/(x^6-9*x^5+27*x^4-27*x^3)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(x -3\right)}{\left(x -3\right)^{2} x^{2} \ln \left(x \right)^{2}}+\frac{16 x^{5} \ln \left(x \right)^{2}-96 x^{4} \ln \left(x \right)^{2}-i \pi  \mathrm{csgn}\left(i \left(x -3\right)\right)^{2} \mathrm{csgn}\left(i \left(x -3\right)^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(i \left(x -3\right)^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i \left(x -3\right)^{2}\right)^{3}+144 x^{3} \ln \left(x \right)^{2}}{2 \left(x -3\right)^{2} x^{2} \ln \left(x \right)^{2}}$&$121$\\ \hline \end{longtable}"," ",0,"2/(x-3)^2/x^2/ln(x)^2*ln(x-3)+1/2*(16*x^5*ln(x)^2-96*x^4*ln(x)^2-I*Pi*csgn(I*(x-3))^2*csgn(I*(x-3)^2)+2*I*Pi*csgn(I*(x-3))*csgn(I*(x-3)^2)^2-I*Pi*csgn(I*(x-3)^2)^3+144*x^3*ln(x)^2)/(x-3)^2/x^2/ln(x)^2","C"
6478,1,25,27,0.069000," ","int((-6*exp(x)^2*x^2+(19*x^2-15*x-5)*exp(x)-24*x^2+20*x+10)/((9*x^4+18*x^3+9*x^2)*exp(x)^2+(-36*x^4-72*x^3-36*x^2)*exp(x)+36*x^4+72*x^3+36*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{3 \left(x +1\right)}+\frac{5}{9 x \left(x +1\right) \left({\mathrm e}^{x}-2\right)}$&$25$\\ norman&$\frac{\frac{5}{9}-\frac{4 x}{3}+\frac{2 \,{\mathrm e}^{x} x}{3}}{x \left({\mathrm e}^{x}-2\right) \left(x +1\right)}$&$26$\\ \hline \end{longtable}"," ",0,"2/3/(x+1)+5/9/x/(x+1)/(exp(x)-2)","A"
6479,1,12,16,0.505000," ","int((-25*x^2+110*x)/(25*x^2-110*x+121),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{121}{25 \left(x -\frac{11}{5}\right)}$&$12$\\ gosper&$-\frac{5 x^{2}}{5 x -11}$&$13$\\ default&$-x -\frac{121}{5 \left(5 x -11\right)}$&$14$\\ meijerg&$-\frac{x \left(-\frac{15 x}{11}+6\right)}{3 \left(1-\frac{5 x}{11}\right)}+\frac{2 x}{1-\frac{5 x}{11}}$&$27$\\ \hline \end{longtable}"," ",0,"-x-121/25/(x-11/5)","A"
6480,1,36,26,0.136000," ","int(((x^3+9*x^2+15*x-25)*ln(2)-x^5-14*x^4-70*x^3-140*x^2-60*x+100)/((x^3+10*x^2+25*x)*ln(2)-x^5-13*x^4-60*x^3-120*x^2-100*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\ln \left(x^{3}-x \ln \left(2\right)+8 x^{2}-5 \ln \left(2\right)+20 x +20\right)-\ln \left(5+x \right)-\ln \left(x \right)$&$36$\\ norman&$x -\ln \left(x \right)-\ln \left(5+x \right)+\ln \left(-x^{3}+x \ln \left(2\right)-8 x^{2}+5 \ln \left(2\right)-20 x -20\right)$&$37$\\ risch&$x -\ln \left(-x^{2}-5 x \right)+\ln \left(x^{3}+8 x^{2}+\left(-\ln \left(2\right)+20\right) x -5 \ln \left(2\right)+20\right)$&$38$\\ \hline \end{longtable}"," ",0,"x+ln(x^3-x*ln(2)+8*x^2-5*ln(2)+20*x+20)-ln(5+x)-ln(x)","A"
6481,1,8,10,0.030000," ","int(379/500*ln(2)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{379 x \ln \left(2\right)}{500}+x$&$8$\\ default&$\left(\frac{379 \ln \left(2\right)}{500}+1\right) x$&$9$\\ norman&$\left(\frac{379 \ln \left(2\right)}{500}+1\right) x$&$9$\\ \hline \end{longtable}"," ",0,"379/500*x*ln(2)+x","A"
6482,1,17,32,0.279000," ","int(1/30*(-x*exp(1/4*x)+2*x-40)/exp(ln(2/x)-1/5*exp(1/4*x)+1/10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2} {\mathrm e}^{\frac{{\mathrm e}^{\frac{x}{4}}}{5}-\frac{x}{10}}}{3}$&$17$\\ default&$-\frac{x^{2} {\mathrm e}^{\frac{{\mathrm e}^{\frac{x}{4}}}{5}-\frac{x}{10}}}{3}$&$23$\\ norman&$-\frac{x^{2} {\mathrm e}^{\frac{{\mathrm e}^{\frac{x}{4}}}{5}-\frac{x}{10}}}{3}$&$23$\\ meijerg&$-\frac{4 \left(1-{\mathrm e}^{-x \ln \left(2\right)}\right)}{3 \ln \left(2\right)}-\frac{8 \left(1-\frac{\left(2-\frac{x \left(-4 \ln \left(2\right)+1\right)}{2}\right) {\mathrm e}^{\frac{x \left(-4 \ln \left(2\right)+1\right)}{4}}}{2}\right)}{15 \left(-4 \ln \left(2\right)+1\right)^{2}}+\frac{1-\frac{\left(2+2 x \ln \left(2\right)\right) {\mathrm e}^{-x \ln \left(2\right)}}{2}}{15 \ln \left(2\right)^{2}}$&$76$\\ \hline \end{longtable}"," ",0,"-1/3*x^2*exp(1/5*exp(1/4*x)-1/10*x)","A"
6483,1,38,23,0.174000," ","int(((8*x+20)*exp(-ln(3/4*exp(exp(x)))+x)+16*exp(x)*x-16*x+16)/exp(-ln(3/4*exp(exp(x)))+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(12 x \,{\mathrm e}^{2 \,{\mathrm e}^{x}}+20 x \,{\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{x}}+4 x^{2} {\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{x}}\right) {\mathrm e}^{-x} {\mathrm e}^{-{\mathrm e}^{x}}$&$38$\\ default&$\frac{3 \left(16 x +4 x^{2} {\mathrm e}^{-\ln \left(\frac{3 \,{\mathrm e}^{{\mathrm e}^{x}}}{4}\right)+x}+20 \,{\mathrm e}^{-\ln \left(\frac{3 \,{\mathrm e}^{{\mathrm e}^{x}}}{4}\right)+x} x \right) {\mathrm e}^{{\mathrm e}^{x}-x}}{4}$&$49$\\ \hline \end{longtable}"," ",0,"(12*x*exp(exp(x))^2+20*x*exp(x)*exp(exp(x))+4*x^2*exp(x)*exp(exp(x)))/exp(x)/exp(exp(x))","A"
6484,1,21,18,0.077000," ","int(1/16*(16*x^4*ln(2)^2+32*x^2*ln(2)-48)/x^4/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{-32 x^{2} \ln \left(2\right)+16}{16 \ln \left(2\right)^{2} x^{3}}$&$21$\\ default&$\frac{x \ln \left(2\right)^{2}-\frac{2 \ln \left(2\right)}{x}+\frac{1}{x^{3}}}{\ln \left(2\right)^{2}}$&$23$\\ norman&$\frac{\frac{1}{\ln \left(2\right)}+x^{4} \ln \left(2\right)-2 x^{2}}{x^{3} \ln \left(2\right)}$&$25$\\ gosper&$\frac{x^{4} \ln \left(2\right)^{2}+1-2 x^{2} \ln \left(2\right)}{x^{3} \ln \left(2\right)^{2}}$&$26$\\ \hline \end{longtable}"," ",0,"x+1/16/ln(2)^2*(-32*x^2*ln(2)+16)/x^3","A"
6485,1,118,30,0.497000," ","int(((((-x^2+x)*exp(5)*exp(x*exp(5))+x^2-x)*ln(x)*exp(x-exp(x*exp(5)))+((2*x^3-2*x^2)*ln(5)-x^2+x)*ln(x))*ln((x-1)*ln(x))+(-x*ln(x)-x+1)*exp(x-exp(x*exp(5)))+(-x^3*ln(5)+x^2)*ln(x)+(-x^3+x^2)*ln(5)+x^2-x)/(x^2-x)/ln(x)/ln((x-1)*ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i \left(x^{2} \ln \left(5\right)+{\mathrm e}^{x -{\mathrm e}^{x \,{\mathrm e}^{5}}}-x \right)}{\pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(x -1\right)\right)^{3}-\pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)-\pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)+\pi  \,\mathrm{csgn}\left(i \ln \left(x \right) \left(x -1\right)\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \left(x -1\right)\right)+2 i \ln \left(\ln \left(x \right)\right)+2 i \ln \left(x -1\right)}$&$118$\\ \hline \end{longtable}"," ",0,"2*I*(x^2*ln(5)+exp(x-exp(x*exp(5)))-x)/(Pi*csgn(I*ln(x)*(x-1))^3-Pi*csgn(I*ln(x)*(x-1))^2*csgn(I*ln(x))-Pi*csgn(I*ln(x)*(x-1))^2*csgn(I*(x-1))+Pi*csgn(I*ln(x)*(x-1))*csgn(I*ln(x))*csgn(I*(x-1))+2*I*ln(ln(x))+2*I*ln(x-1))","C"
6486,1,12,21,0.039000," ","int(-exp(2)*ln(2)+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x \,{\mathrm e}^{2} \ln \left(2\right)+x^{2}$&$12$\\ norman&$-x \,{\mathrm e}^{2} \ln \left(2\right)+x^{2}$&$12$\\ risch&$-x \,{\mathrm e}^{2} \ln \left(2\right)+x^{2}$&$12$\\ gosper&$-x \left({\mathrm e}^{2} \ln \left(2\right)-x \right)$&$13$\\ \hline \end{longtable}"," ",0,"-x*exp(2)*ln(2)+x^2","A"
6487,1,16,16,0.032000," ","int(6*exp(3*x)^2-96*exp(3*x)+2*exp(2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{6 x}+{\mathrm e}^{2 x}-32 \,{\mathrm e}^{3 x}$&$16$\\ risch&${\mathrm e}^{6 x}+{\mathrm e}^{2 x}-32 \,{\mathrm e}^{3 x}$&$16$\\ meijerg&$30+{\mathrm e}^{6 x}-32 \,{\mathrm e}^{3 x}+{\mathrm e}^{2 x}$&$17$\\ default&${\mathrm e}^{6 x}+{\mathrm e}^{2 x}-32 \,{\mathrm e}^{3 x}$&$18$\\ \hline \end{longtable}"," ",0,"exp(x)^2+exp(x)^6-32*exp(x)^3","A"
6488,1,16,23,0.439000," ","int((17*x^3+66*x^2-16*x-64)/(x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$17 x +\frac{16}{x}-2 \ln \left(4+x \right)$&$16$\\ risch&$17 x +\frac{16}{x}-2 \ln \left(4+x \right)$&$16$\\ meijerg&$-2 \ln \left(1+\frac{x}{4}\right)+\frac{16}{x}+17 x$&$18$\\ norman&$\frac{17 x^{2}+16}{x}-2 \ln \left(4+x \right)$&$19$\\ \hline \end{longtable}"," ",0,"17*x+16/x-2*ln(4+x)","A"
6489,1,55,27,0.217000," ","int(((((100*x^4+900*x^3+2700*x^2+2700*x)*exp(1)^4+(200*x^2+600*x)*exp(1)^2)*exp((x^4+12*x^3+54*x^2+108*x+81)*exp(1)^4+(4*x^2+24*x+36)*exp(1)^2+4)-75)*exp(exp((x^4+12*x^3+54*x^2+108*x+81)*exp(1)^4+(4*x^2+24*x+36)*exp(1)^2+4))-3*x^2)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 x^{2}+25 \,{\mathrm e}^{{\mathrm e}^{\left(x^{4}+12 x^{3}+54 x^{2}+108 x +81\right) {\mathrm e}^{4}+\left(4 x^{2}+24 x +36\right) {\mathrm e}^{2}+4}}}{x^{3}}$&$55$\\ risch&$\frac{3}{x}+\frac{25 \,{\mathrm e}^{{\mathrm e}^{x^{4} {\mathrm e}^{4}+12 x^{3} {\mathrm e}^{4}+4 x^{2} {\mathrm e}^{2}+54 x^{2} {\mathrm e}^{4}+24 \,{\mathrm e}^{2} x +108 x \,{\mathrm e}^{4}+36 \,{\mathrm e}^{2}+81 \,{\mathrm e}^{4}+4}}}{x^{3}}$&$61$\\ \hline \end{longtable}"," ",0,"(3*x^2+25*exp(exp((x^4+12*x^3+54*x^2+108*x+81)*exp(1)^4+(4*x^2+24*x+36)*exp(1)^2+4)))/x^3","A"
6490,0,0,29,0.117000," ","int(((-ln(x^2)^2+2*x^2*ln(x^2)-x^4-x)*ln((ln(x^2)^2-2*x^2*ln(x^2)+x^4+x)/x)+2*ln(x^2)^2+(-8*x^2+4)*ln(x^2)+6*x^4-4*x^2+3*x)*exp((ln((ln(x^2)^2-2*x^2*ln(x^2)+x^4+x)/x)-4*x-3)/x)/(x^2*ln(x^2)^2-2*x^4*ln(x^2)+x^6+x^3),x)","\[\int \frac{\left(\left(-\ln \left(x^{2}\right)^{2}+2 x^{2} \ln \left(x^{2}\right)-x^{4}-x \right) \ln \left(\frac{\ln \left(x^{2}\right)^{2}-2 x^{2} \ln \left(x^{2}\right)+x^{4}+x}{x}\right)+2 \ln \left(x^{2}\right)^{2}+\left(-8 x^{2}+4\right) \ln \left(x^{2}\right)+6 x^{4}-4 x^{2}+3 x \right) {\mathrm e}^{\frac{\ln \left(\frac{\ln \left(x^{2}\right)^{2}-2 x^{2} \ln \left(x^{2}\right)+x^{4}+x}{x}\right)-4 x -3}{x}}}{x^{2} \ln \left(x^{2}\right)^{2}-2 x^{4} \ln \left(x^{2}\right)+x^{6}+x^{3}}\, dx\]"," ",0,"int(((-ln(x^2)^2+2*x^2*ln(x^2)-x^4-x)*ln((ln(x^2)^2-2*x^2*ln(x^2)+x^4+x)/x)+2*ln(x^2)^2+(-8*x^2+4)*ln(x^2)+6*x^4-4*x^2+3*x)*exp((ln((ln(x^2)^2-2*x^2*ln(x^2)+x^4+x)/x)-4*x-3)/x)/(x^2*ln(x^2)^2-2*x^4*ln(x^2)+x^6+x^3),x)","F"
6491,1,20,25,0.031000," ","int(-2*exp(x+1)^2+4*x-2*exp(x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x^{2}+x -{\mathrm e}^{2 x +2}-2 \,{\mathrm e}^{x}$&$20$\\ risch&$2 x^{2}+x -{\mathrm e}^{2 x +2}-2 \,{\mathrm e}^{x}$&$20$\\ norman&$x +2 x^{2}-{\mathrm e}^{2} {\mathrm e}^{2 x}-2 \,{\mathrm e}^{x}$&$22$\\ \hline \end{longtable}"," ",0,"2*x^2+x-exp(x+1)^2-2*exp(x)","A"
6492,1,6,21,0.021000," ","int(6/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{6}{x}$&$6$\\ default&$-\frac{6}{x}$&$6$\\ norman&$-\frac{6}{x}$&$6$\\ risch&$-\frac{6}{x}$&$6$\\ \hline \end{longtable}"," ",0,"-6/x","A"
6493,1,151,30,0.737000," ","int((-exp(2)*ln(x)*ln(x^2/ln(2)^2/ln(x)^2)*ln(ln(x^2/ln(2)^2/ln(x)^2))-x^2*exp(2)*exp(x)*ln(x)*ln(x^2/ln(2)^2/ln(x)^2)+2*exp(2)*ln(x)-2*exp(2))*exp(-x*exp(2)/(ln(ln(x^2/ln(2)^2/ln(x)^2))-exp(x)*x+3*x))/(ln(x)*ln(x^2/ln(2)^2/ln(x)^2)*ln(ln(x^2/ln(2)^2/ln(x)^2))^2+(-2*exp(x)*x+6*x)*ln(x)*ln(x^2/ln(2)^2/ln(x)^2)*ln(ln(x^2/ln(2)^2/ln(x)^2))+(exp(x)^2*x^2-6*exp(x)*x^2+9*x^2)*ln(x)*ln(x^2/ln(2)^2/ln(x)^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{2} x}{{\mathrm e}^{x} x -\ln \left(-2 \ln \left(\ln \left(2\right)\right)+2 \ln \left(x \right)-2 \ln \left(\ln \left(x \right)\right)+\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \left(-\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)+\mathrm{csgn}\left(i \ln \left(x \right)\right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)^{2}}\right) \left(-\mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)^{2}}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)^{2}}\right)+\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right)\right)}{2}\right)-3 x}}$&$151$\\ \hline \end{longtable}"," ",0,"exp(exp(2)*x/(exp(x)*x-ln(-2*ln(ln(2))+2*ln(x)-2*ln(ln(x))+1/2*I*Pi*csgn(I*ln(x)^2)*(-csgn(I*ln(x)^2)+csgn(I*ln(x)))^2-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^2/ln(x)^2)*(-csgn(I*x^2/ln(x)^2)+csgn(I*x^2))*(-csgn(I*x^2/ln(x)^2)+csgn(I/ln(x)^2)))-3*x))","C"
6494,1,30,29,0.042000," ","int(((20*x^3*ln(x)^2-20*x)*ln(-x^2*ln(x)^2+1)+(-10*x^7-5*x^4-60*x^3)*ln(x)^2-20*x^3*ln(x)+10*x^5+5*x^2+40*x)/((4*x^2*ln(x)^2-4)*ln(-x^2*ln(x)^2+1)^2+((4*x^6-4*x^3-16*x^2)*ln(x)^2-4*x^4+4*x+16)*ln(-x^2*ln(x)^2+1)+(x^10-2*x^7-8*x^6+x^4+8*x^3+16*x^2)*ln(x)^2-x^8+2*x^5+8*x^4-x^2-8*x-16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x^{2}}{x^{4}-x +2 \ln \left(-x^{2} \ln \left(x \right)^{2}+1\right)-4}$&$30$\\ \hline \end{longtable}"," ",0,"5/(x^4-x+2*ln(-x^2*ln(x)^2+1)-4)*x^2","A"
6495,1,26,26,0.506000," ","int((288*exp(1)^2+(-4*x^3-536*x^2-100*x)*exp(1)+4*x^5+248*x^4+100*x^3)/(x^2-10*x+25)/exp((48*x+48)/(x-5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{4}-2 x^{2} {\mathrm e}+{\mathrm e}^{2}\right) {\mathrm e}^{-\frac{48 \left(x +1\right)}{x -5}}$&$26$\\ gosper&$\left(x^{4}-2 x^{2} {\mathrm e}+{\mathrm e}^{2}\right) {\mathrm e}^{-\frac{48 \left(x +1\right)}{x -5}}$&$30$\\ norman&$\frac{\left(x^{5}+{\mathrm e}^{2} x -5 x^{4}-5 \,{\mathrm e}^{2}+10 x^{2} {\mathrm e}-2 x^{3} {\mathrm e}\right) {\mathrm e}^{-\frac{48 x +48}{x -5}}}{x -5}$&$56$\\ derivativedivides&$43700 \,{\mathrm e}^{-48-\frac{288}{x -5}} \left(x -5\right)-\frac{{\mathrm e}^{-48-\frac{288}{x -5}} \left(\left(48+\frac{288}{x -5}\right)^{3}-145 \left(48+\frac{288}{x -5}\right)^{2}+223482+\frac{2018880}{x -5}\right) \left(x -5\right)^{4}}{6}+58 \,{\mathrm e}^{-48-\frac{288}{x -5}} \left(\left(48+\frac{288}{x -5}\right)^{2}-2302-\frac{27936}{x -5}\right) \left(x -5\right)^{3}-3030 \,{\mathrm e}^{-48-\frac{288}{x -5}} \left(-1+\frac{288}{x -5}\right) \left(x -5\right)^{2}+625 \,{\mathrm e}^{-48-\frac{288}{x -5}}+10368 \,{\mathrm e} \left(-\frac{{\mathrm e}^{-48-\frac{288}{x -5}} \left(x -5\right)}{288}+{\mathrm e}^{-48} \expIntegralEi \left(1, \frac{288}{x -5}\right)\right)-2304 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{-48-\frac{288}{x -5}} \left(x -5\right)}{288}+{\mathrm e}^{-48} \expIntegralEi \left(1, \frac{288}{x -5}\right)\right)+331776 \,{\mathrm e} \left(\frac{{\mathrm e}^{-48-\frac{288}{x -5}} \left(-1+\frac{288}{x -5}\right) \left(x -5\right)^{2}}{165888}-\frac{{\mathrm e}^{-48} \expIntegralEi \left(1, \frac{288}{x -5}\right)}{2}\right)+960 \,{\mathrm e} \left(-\frac{{\mathrm e}^{-48-\frac{288}{x -5}} \left(x -5\right)}{6}+47 \,{\mathrm e}^{-48} \expIntegralEi \left(1, \frac{288}{x -5}\right)\right)+50 \,{\mathrm e} \left(-{\mathrm e}^{-48-\frac{288}{x -5}}-8 \,{\mathrm e}^{-48-\frac{288}{x -5}} \left(x -5\right)+2208 \,{\mathrm e}^{-48} \expIntegralEi \left(1, \frac{288}{x -5}\right)\right)+96 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{-48-\frac{288}{x -5}} \left(x -5\right)}{6}+47 \,{\mathrm e}^{-48} \expIntegralEi \left(1, \frac{288}{x -5}\right)\right)-{\mathrm e}^{2} \left(-{\mathrm e}^{-48-\frac{288}{x -5}}-8 \,{\mathrm e}^{-48-\frac{288}{x -5}} \left(x -5\right)+2208 \,{\mathrm e}^{-48} \expIntegralEi \left(1, \frac{288}{x -5}\right)\right)$&$412$\\ default&$43700 \,{\mathrm e}^{-48-\frac{288}{x -5}} \left(x -5\right)-\frac{{\mathrm e}^{-48-\frac{288}{x -5}} \left(\left(48+\frac{288}{x -5}\right)^{3}-145 \left(48+\frac{288}{x -5}\right)^{2}+223482+\frac{2018880}{x -5}\right) \left(x -5\right)^{4}}{6}+58 \,{\mathrm e}^{-48-\frac{288}{x -5}} \left(\left(48+\frac{288}{x -5}\right)^{2}-2302-\frac{27936}{x -5}\right) \left(x -5\right)^{3}-3030 \,{\mathrm e}^{-48-\frac{288}{x -5}} \left(-1+\frac{288}{x -5}\right) \left(x -5\right)^{2}+625 \,{\mathrm e}^{-48-\frac{288}{x -5}}+10368 \,{\mathrm e} \left(-\frac{{\mathrm e}^{-48-\frac{288}{x -5}} \left(x -5\right)}{288}+{\mathrm e}^{-48} \expIntegralEi \left(1, \frac{288}{x -5}\right)\right)-2304 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{-48-\frac{288}{x -5}} \left(x -5\right)}{288}+{\mathrm e}^{-48} \expIntegralEi \left(1, \frac{288}{x -5}\right)\right)+331776 \,{\mathrm e} \left(\frac{{\mathrm e}^{-48-\frac{288}{x -5}} \left(-1+\frac{288}{x -5}\right) \left(x -5\right)^{2}}{165888}-\frac{{\mathrm e}^{-48} \expIntegralEi \left(1, \frac{288}{x -5}\right)}{2}\right)+960 \,{\mathrm e} \left(-\frac{{\mathrm e}^{-48-\frac{288}{x -5}} \left(x -5\right)}{6}+47 \,{\mathrm e}^{-48} \expIntegralEi \left(1, \frac{288}{x -5}\right)\right)+50 \,{\mathrm e} \left(-{\mathrm e}^{-48-\frac{288}{x -5}}-8 \,{\mathrm e}^{-48-\frac{288}{x -5}} \left(x -5\right)+2208 \,{\mathrm e}^{-48} \expIntegralEi \left(1, \frac{288}{x -5}\right)\right)+96 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{-48-\frac{288}{x -5}} \left(x -5\right)}{6}+47 \,{\mathrm e}^{-48} \expIntegralEi \left(1, \frac{288}{x -5}\right)\right)-{\mathrm e}^{2} \left(-{\mathrm e}^{-48-\frac{288}{x -5}}-8 \,{\mathrm e}^{-48-\frac{288}{x -5}} \left(x -5\right)+2208 \,{\mathrm e}^{-48} \expIntegralEi \left(1, \frac{288}{x -5}\right)\right)$&$412$\\ \hline \end{longtable}"," ",0,"(x^4-2*x^2*exp(1)+exp(2))*exp(-48*(x+1)/(x-5))","A"
6496,1,30,21,0.045000," ","int((-2*x-1)*exp(x)^2+(2*x^2+4*x)*exp(x)+exp(3)-3*x^2+2*x-4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\left({\mathrm e}^{3}-4\right) x -x^{3}-x \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x^{2}$&$30$\\ default&$-4 x -x \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x^{2}+x^{2}-x^{3}+x \,{\mathrm e}^{3}$&$31$\\ risch&$-4 x -x \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x^{2}+x^{2}-x^{3}+x \,{\mathrm e}^{3}$&$31$\\ \hline \end{longtable}"," ",0,"x^2+(exp(3)-4)*x-x^3-x*exp(x)^2+2*exp(x)*x^2","A"
6497,1,11,10,0.013000," ","int(3*exp(x^2)*x+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 \,{\mathrm e}^{x^{2}}}{2}+3 x$&$11$\\ norman&$\frac{3 \,{\mathrm e}^{x^{2}}}{2}+3 x$&$11$\\ risch&$\frac{3 \,{\mathrm e}^{x^{2}}}{2}+3 x$&$11$\\ \hline \end{longtable}"," ",0,"3/2*exp(x^2)+3*x","A"
6498,1,28,21,0.141000," ","int(((-6*ln(2)-7*x^2-2*x)*ln(1/3*(-6*ln(2)-7*x^2-2*x)/x)+2*(-6*x^2-3)*ln(2)-14*x^4-4*x^3+7*x^2)/(6*x^2*ln(2)+7*x^4+2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\frac{-6 \ln \left(2\right)-7 x^{2}-2 x}{3 x}\right)}{x}-2 x$&$28$\\ norman&$\frac{-2 x^{2}+\ln \left(\frac{-6 \ln \left(2\right)-7 x^{2}-2 x}{3 x}\right)}{x}$&$30$\\ default&$-\frac{\ln \left(3\right)}{x}+\frac{\ln \left(\frac{-6 \ln \left(2\right)-7 x^{2}-2 x}{x}\right)}{x}-\frac{\sqrt{-1+42 \ln \left(2\right)}\, \arctan \left(\frac{14 x +2}{2 \sqrt{-1+42 \ln \left(2\right)}}\right)}{3 \ln \left(2\right)}-2 x -\frac{\arctan \left(\frac{14 x +2}{2 \sqrt{-1+42 \ln \left(2\right)}}\right)}{3 \ln \left(2\right) \sqrt{-1+42 \ln \left(2\right)}}+\frac{14 \arctan \left(\frac{14 x +2}{2 \sqrt{-1+42 \ln \left(2\right)}}\right)}{\sqrt{-1+42 \ln \left(2\right)}}$&$120$\\ \hline \end{longtable}"," ",0,"1/x*ln(1/3*(-6*ln(2)-7*x^2-2*x)/x)-2*x","A"
6499,1,17,18,0.060000," ","int((((-24*x^2+144*x-120)*exp(x)^4+6*x-6)*ln(x-1)-6*x+30)*exp(exp(x)^4)/(x^3-11*x^2+35*x-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{6 \ln \left(x -1\right) {\mathrm e}^{{\mathrm e}^{4 x}}}{x -5}$&$17$\\ \hline \end{longtable}"," ",0,"-6/(x-5)*ln(x-1)*exp(exp(4*x))","A"
6500,1,11,15,0.026000," ","int(ln(2*x^2)+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +x \ln \left(2 x^{2}\right)$&$11$\\ risch&$x +x \ln \left(2 x^{2}\right)$&$11$\\ default&$x +x \ln \left(2\right)+x \ln \left(x^{2}\right)$&$13$\\ \hline \end{longtable}"," ",0,"x+x*ln(2*x^2)","A"
6501,1,20,23,0.058000," ","int((12*x^2*ln(3*x)-54*x^2+12)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$6 x^{2} \ln \left(3 x \right)-30 x^{2}+12 \ln \left(x \right)$&$20$\\ derivativedivides&$6 x^{2} \ln \left(3 x \right)-30 x^{2}+12 \ln \left(3 x \right)$&$22$\\ default&$6 x^{2} \ln \left(3 x \right)-30 x^{2}+12 \ln \left(3 x \right)$&$22$\\ norman&$6 x^{2} \ln \left(3 x \right)-30 x^{2}+12 \ln \left(3 x \right)$&$22$\\ \hline \end{longtable}"," ",0,"6*x^2*ln(3*x)-30*x^2+12*ln(x)","A"
6502,1,21,23,0.468000," ","int((-25*exp(6/exp(5)^4)-26*x^2-25)/(25*x*exp(6/exp(5)^4)-26*x^3+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)+\ln \left(26 x^{2}-25 \,{\mathrm e}^{6 \,{\mathrm e}^{-20}}-25\right)$&$21$\\ risch&$-\ln \left(x \right)+\ln \left(26 x^{2}-25 \,{\mathrm e}^{6 \,{\mathrm e}^{-20}}-25\right)$&$21$\\ norman&$-\ln \left(x \right)+\ln \left(-26 x^{2}+25 \,{\mathrm e}^{6 \,{\mathrm e}^{-20}}+25\right)$&$23$\\ meijerg&$-\frac{25 \,{\mathrm e}^{6 \,{\mathrm e}^{-20}} \left(-\ln \left(1-\frac{26 x^{2}}{25 \left(1+{\mathrm e}^{6 \,{\mathrm e}^{-20}}\right)}\right)+2 \ln \left(x \right)+\ln \left(2\right)+\ln \left(13\right)-2 \ln \left(5\right)-\ln \left(1+{\mathrm e}^{6 \,{\mathrm e}^{-20}}\right)+i \pi \right)}{2 \left(25+25 \,{\mathrm e}^{6 \,{\mathrm e}^{-20}}\right)}+\frac{25 \left(1+{\mathrm e}^{6 \,{\mathrm e}^{-20}}\right) \ln \left(1-\frac{26 x^{2}}{25 \left(1+{\mathrm e}^{6 \,{\mathrm e}^{-20}}\right)}\right)}{2 \left(25+25 \,{\mathrm e}^{6 \,{\mathrm e}^{-20}}\right)}-\frac{25 \left(-\ln \left(1-\frac{26 x^{2}}{25 \left(1+{\mathrm e}^{6 \,{\mathrm e}^{-20}}\right)}\right)+2 \ln \left(x \right)+\ln \left(2\right)+\ln \left(13\right)-2 \ln \left(5\right)-\ln \left(1+{\mathrm e}^{6 \,{\mathrm e}^{-20}}\right)+i \pi \right)}{2 \left(25+25 \,{\mathrm e}^{6 \,{\mathrm e}^{-20}}\right)}$&$162$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(26*x^2-25*exp(6*exp(-20))-25)","A"
6503,1,9,10,0.043000," ","int((9*exp(x)+27)/(9*exp(x)+27*x+89),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(3 x +\frac{89}{9}+{\mathrm e}^{x}\right)$&$9$\\ derivativedivides&$\ln \left(9 \,{\mathrm e}^{x}+27 x +89\right)$&$11$\\ norman&$\ln \left(9 \,{\mathrm e}^{x}+27 x +89\right)$&$11$\\ \hline \end{longtable}"," ",0,"ln(3*x+89/9+exp(x))","A"
6504,1,25,22,0.123000," ","int((-12500*x^10-750*x^6+20500*x^5+525*x-5600)/(7500*x^10+900*x^6-10500*x^5+27*x^2-630*x+3675)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-\frac{175}{3}+\frac{250 x^{5}}{3}\right) {\mathrm e}^{-x}}{50 x^{5}+3 x -35}$&$25$\\ gosper&$\frac{25 \left(10 x^{5}-7\right) {\mathrm e}^{-x}}{3 \left(50 x^{5}+3 x -35\right)}$&$26$\\ risch&$\frac{25 \left(10 x^{5}-7\right) {\mathrm e}^{-x}}{3 \left(50 x^{5}+3 x -35\right)}$&$26$\\ default&$\frac{5600 \,{\mathrm e}^{-x} \left(216000 x^{4}+3150000 x^{3}+45937500 x^{2}+669921875 x +10368\right)}{351709077687 \left(50 x^{5}+3 x -35\right)}-\frac{5600 \left(\munderset{\textit{\_R1} =\RootOf \left(50 \textit{\_Z}^{5}+3 \textit{\_Z} -35\right)}{\sum}\frac{\left(216000 \textit{\_R1}^{4}+3366000 \textit{\_R1}^{3}+52237500 \textit{\_R1}^{2}+807734375 \textit{\_R1} +2679697868\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, x -\textit{\_R1} \right)}{250 \textit{\_R1}^{4}+3}\right)}{351709077687}-\frac{175 \,{\mathrm e}^{-x} \left(3150000 x^{4}+45937500 x^{3}+669921875 x^{2}-2592 x +151200\right)}{117236359229 \left(50 x^{5}+3 x -35\right)}+\frac{175 \left(\munderset{\textit{\_R1} =\RootOf \left(50 \textit{\_Z}^{5}+3 \textit{\_Z} -35\right)}{\sum}\frac{\left(3150000 \textit{\_R1}^{4}+49087500 \textit{\_R1}^{3}+761796875 \textit{\_R1}^{2}+2009763033 \textit{\_R1} +140832\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, x -\textit{\_R1} \right)}{250 \textit{\_R1}^{4}+3}\right)}{117236359229}+\frac{410 \,{\mathrm e}^{-x} \left(1890000 x^{4}+27562500 x^{3}+401953125 x^{2}-23447273401 x +90720\right)}{351709077687 \left(50 x^{5}+3 x -35\right)}-\frac{410 \left(\munderset{\textit{\_R1} =\RootOf \left(50 \textit{\_Z}^{5}+3 \textit{\_Z} -35\right)}{\sum}\frac{\left(1890000 \textit{\_R1}^{4}+29452500 \textit{\_R1}^{3}+457078125 \textit{\_R1}^{2}-22241414026 \textit{\_R1} +23447356345\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, x -\textit{\_R1} \right)}{250 \textit{\_R1}^{4}+3}\right)}{351709077687}-\frac{5 \,{\mathrm e}^{-x} \left(27562500 x^{4}+401953125 x^{3}-23447273401 x^{2}-22680 x +1323000\right)}{117236359229 \left(50 x^{5}+3 x -35\right)}+\frac{5 \left(\munderset{\textit{\_R1} =\RootOf \left(50 \textit{\_Z}^{5}+3 \textit{\_Z} -35\right)}{\sum}\frac{\left(27562500 \textit{\_R1}^{4}+429515625 \textit{\_R1}^{3}-22643367151 \textit{\_R1}^{2}+46894516346 \textit{\_R1} +1232280\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, x -\textit{\_R1} \right)}{250 \textit{\_R1}^{4}+3}\right)}{117236359229}+\frac{5 \,{\mathrm e}^{-x}}{3}+\frac{5 \,{\mathrm e}^{-x} \left(16537500 x^{4}+241171875 x^{3}-84410179578 x^{2}+820654500995 x +793800\right)}{351709077687 \left(50 x^{5}+3 x -35\right)}-\frac{5 \left(\munderset{\textit{\_R1} =\RootOf \left(50 \textit{\_Z}^{5}+3 \textit{\_Z} -35\right)}{\sum}\frac{\left(16537500 \textit{\_R1}^{4}+257709375 \textit{\_R1}^{3}-83927835828 \textit{\_R1}^{2}+1270842117635 \textit{\_R1} -4923926348250\right) {\mathrm e}^{-\textit{\_R1}} \expIntegralEi \left(1, x -\textit{\_R1} \right)}{250 \textit{\_R1}^{4}+3}\right)}{351709077687}$&$483$\\ \hline \end{longtable}"," ",0,"(-175/3+250/3*x^5)/(50*x^5+3*x-35)/exp(x)","A"
6505,1,30,22,0.409000," ","int(((-3*x^4+15*x^3)*ln(5-x)^2+(6*x^4-30*x^3-2*x+10)*ln(5-x)-6*x^4+30*x^3-x)/(3*x^4-15*x^3)/ln(5-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{6 x^{3}-30 x^{2}+1}{3 x^{2} \ln \left(5-x \right)}$&$30$\\ norman&$\frac{\frac{1}{3}-10 x^{2}+2 x^{3}-x^{3} \ln \left(5-x \right)}{\ln \left(5-x \right) x^{2}}$&$36$\\ \hline \end{longtable}"," ",0,"-x+1/3*(6*x^3-30*x^2+1)/x^2/ln(5-x)","A"
6506,1,9,10,0.023000," ","int(8*exp(4+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$4 \,{\mathrm e}^{2 x +8}$&$9$\\ derivativedivides&$4 \,{\mathrm e}^{2 x +8}$&$9$\\ default&$4 \,{\mathrm e}^{2 x +8}$&$9$\\ norman&$4 \,{\mathrm e}^{2 x +8}$&$9$\\ risch&$4 \,{\mathrm e}^{2 x +8}$&$9$\\ meijerg&$-4 \,{\mathrm e}^{2 x -2 x \,{\mathrm e}^{8}} \left(1-{\mathrm e}^{2 x \,{\mathrm e}^{8}}\right)$&$23$\\ \hline \end{longtable}"," ",0,"4*exp(4+x)^2","A"
6507,1,19,17,0.442000," ","int((4*ln(ln(5))*x^2+exp(5)+2*x^2)/(4*ln(ln(5))*x^2+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{{\mathrm e}^{5}}{2 x \left(2 \ln \left(\ln \left(5\right)\right)+1\right)}$&$19$\\ norman&$\frac{x^{2}-\frac{{\mathrm e}^{5}}{2 \left(2 \ln \left(\ln \left(5\right)\right)+1\right)}}{x}$&$22$\\ default&$\frac{4 x \ln \left(\ln \left(5\right)\right)+2 x -\frac{{\mathrm e}^{5}}{x}}{4 \ln \left(\ln \left(5\right)\right)+2}$&$29$\\ gosper&$-\frac{-4 \ln \left(\ln \left(5\right)\right) x^{2}-2 x^{2}+{\mathrm e}^{5}}{2 x \left(2 \ln \left(\ln \left(5\right)\right)+1\right)}$&$31$\\ \hline \end{longtable}"," ",0,"x-1/2*exp(5)/x/(2*ln(ln(5))+1)","A"
6508,1,17,24,0.234000," ","int(((5+x)*exp((x*exp(1)-5)/x)+2*x^2+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x +{\mathrm e}^{-\frac{5}{x}+{\mathrm e}} x +x^{2}$&$17$\\ default&$x +{\mathrm e}^{-\frac{5}{x}+{\mathrm e}} x +x^{2}$&$17$\\ norman&$x +x^{2}+{\mathrm e}^{\frac{x \,{\mathrm e}-5}{x}} x$&$19$\\ risch&$x +x^{2}+{\mathrm e}^{\frac{x \,{\mathrm e}-5}{x}} x$&$19$\\ \hline \end{longtable}"," ",0,"x+exp(-5/x+exp(1))*x+x^2","A"
6509,1,43,26,0.073000," ","int(((-4*x^3-40*x^2-50*x)*ln(x)+(-4*x^3-40*x^2-50*x)*exp(3)-4*x^5-48*x^4-136*x^3-212*x^2-120*x-50)/(((x^3+10*x^2+25*x)*ln(x)+(x^3+10*x^2+25*x)*exp(3)+x^5+11*x^4+36*x^3+35*x^2+25*x)*ln(ln(x)+exp(3)+x^2+x+1)^2+((4*x^4+30*x^3+50*x^2)*ln(x)+(4*x^4+30*x^3+50*x^2)*exp(3)+4*x^6+34*x^5+84*x^4+80*x^3+50*x^2)*ln(ln(x)+exp(3)+x^2+x+1)+(4*x^5+20*x^4+25*x^3)*ln(x)+(4*x^5+20*x^4+25*x^3)*exp(3)+4*x^7+24*x^6+49*x^5+45*x^4+25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x +10}{x \ln \left(\ln \left(x \right)+{\mathrm e}^{3}+x^{2}+x +1\right)+2 x^{2}+5 \ln \left(\ln \left(x \right)+{\mathrm e}^{3}+x^{2}+x +1\right)+5 x}$&$43$\\ \hline \end{longtable}"," ",0,"2*(5+x)/(x*ln(ln(x)+exp(3)+x^2+x+1)+2*x^2+5*ln(ln(x)+exp(3)+x^2+x+1)+5*x)","A"
6510,1,13,12,0.044000," ","int(4*exp(2)-12*x-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$2 \left(-1-3 x +2 \,{\mathrm e}^{2}\right) x$&$13$\\ default&$4 \,{\mathrm e}^{2} x -6 x^{2}-2 x$&$15$\\ norman&$\left(4 \,{\mathrm e}^{2}-2\right) x -6 x^{2}$&$15$\\ risch&$4 \,{\mathrm e}^{2} x -6 x^{2}-2 x$&$15$\\ \hline \end{longtable}"," ",0,"2*(-1-3*x+2*exp(2))*x","A"
6511,1,189,29,0.495000," ","int((-6*x*ln(x^2)^2+12*x*ln(x^2)-6*x^4*exp(2*x+2)+3*x^4*exp(3+x))/(ln(x^2)^4+(-2*x^2*exp(2*x+2)+2*x^2*exp(3+x)-24*x^2)*ln(x^2)^2+x^4*exp(2*x+2)^2+(-2*x^4*exp(3+x)+24*x^4)*exp(2*x+2)+x^4*exp(3+x)^2-24*x^4*exp(3+x)+144*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{12 x^{2}}{\pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-4 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}+6 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}+\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}+8 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-16 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+8 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 x^{2} {\mathrm e}^{2 x +2}-4 x^{2} {\mathrm e}^{3+x}+48 x^{2}-16 \ln \left(x \right)^{2}}$&$189$\\ \hline \end{longtable}"," ",0,"12*x^2/(Pi^2*csgn(I*x)^4*csgn(I*x^2)^2-4*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3+6*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4-4*Pi^2*csgn(I*x)*csgn(I*x^2)^5+Pi^2*csgn(I*x^2)^6+8*I*ln(x)*Pi*csgn(I*x)^2*csgn(I*x^2)-16*I*ln(x)*Pi*csgn(I*x)*csgn(I*x^2)^2+8*I*ln(x)*Pi*csgn(I*x^2)^3+4*x^2*exp(2*x+2)-4*x^2*exp(3+x)+48*x^2-16*ln(x)^2)","C"
6512,1,24,23,0.412000," ","int(1/2*((6*x*ln(2)+3*x^2)*ln(2/5*x^2)-24*ln(2)^2-24*x*ln(2)-6*x^2)*exp((4*ln(2)^2+4*x*ln(2)+x^2)/ln(2/5*x^2)^2)*exp(1/4*exp((4*ln(2)^2+4*x*ln(2)+x^2)/ln(2/5*x^2)^2))/x/ln(2/5*x^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \,{\mathrm e}^{\frac{{\mathrm e}^{\frac{\left(x +2 \ln \left(2\right)\right)^{2}}{\ln \left(\frac{2 x^{2}}{5}\right)^{2}}}}{4}}$&$24$\\ \hline \end{longtable}"," ",0,"3*exp(1/4*exp((x+2*ln(2))^2/ln(2/5*x^2)^2))","A"
6513,1,33,33,0.501000," ","int((((-4*x^2-16*x)*exp(x)^2-4)*exp(exp(x)^2)^2+2*(4*x^2+32*x)*ln(2)-2*x^3+4*x^2+128*x+4)*exp((-x*exp(exp(x)^2)^2+8*x^2*ln(2)-x^3+16*x^2+x)/(4+x))/(x^2+8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \left(8 x \ln \left(2\right)-x^{2}-{\mathrm e}^{2 \,{\mathrm e}^{2 x}}+16 x +1\right)}{4+x}}$&$33$\\ \hline \end{longtable}"," ",0,"exp(x*(8*x*ln(2)-x^2-exp(2*exp(2*x))+16*x+1)/(4+x))","A"
6514,1,21,20,0.075000," ","int((((-x^4+4*x^3-4*x^2)*exp(x)-3*x^4+12*x^3-12*x^2)*exp(3*x+exp(x))-50*x+50)/(x^4-4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25}{\left(x -2\right) x}-{\mathrm e}^{3 x +{\mathrm e}^{x}}$&$21$\\ norman&$\frac{25+2 x \,{\mathrm e}^{3 x +{\mathrm e}^{x}}-{\mathrm e}^{3 x +{\mathrm e}^{x}} x^{2}}{\left(x -2\right) x}$&$34$\\ \hline \end{longtable}"," ",0,"25/(x-2)/x-exp(3*x+exp(x))","A"
6515,1,16,20,0.174000," ","int(((10*x-5)*exp(16)*exp(2*x)-x^2*exp(2))/x^2/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{5 \,{\mathrm e}^{14+2 x}}{x}$&$16$\\ norman&$\frac{-x^{2}+5 \,{\mathrm e}^{-2} {\mathrm e}^{16} {\mathrm e}^{2 x}}{x}$&$23$\\ default&${\mathrm e}^{-2} \left(-10 \,{\mathrm e}^{16} \left(-\frac{{\mathrm e}^{2 x}}{2 x}-\expIntegralEi \left(1, -2 x \right)\right)-10 \,{\mathrm e}^{16} \expIntegralEi \left(1, -2 x \right)-{\mathrm e}^{2} x \right)$&$42$\\ derivativedivides&$\frac{{\mathrm e}^{-2} \left(-20 \,{\mathrm e}^{16} \left(-\frac{{\mathrm e}^{2 x}}{2 x}-\expIntegralEi \left(1, -2 x \right)\right)-20 \,{\mathrm e}^{16} \expIntegralEi \left(1, -2 x \right)-2 \,{\mathrm e}^{2} x \right)}{2}$&$43$\\ \hline \end{longtable}"," ",0,"-x+5/x*exp(14+2*x)","A"
6516,1,16,16,0.029000," ","int(1/5000*(ln(2*x)-10000*x*exp(x)^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(2 x \right)^{2}}{10000}-{\mathrm e}^{2 x}$&$16$\\ norman&$\frac{\ln \left(2 x \right)^{2}}{10000}-{\mathrm e}^{2 x}$&$16$\\ risch&$\frac{\ln \left(2 x \right)^{2}}{10000}-{\mathrm e}^{2 x}$&$16$\\ \hline \end{longtable}"," ",0,"1/10000*ln(2*x)^2-exp(x)^2","A"
6517,1,18,17,0.039000," ","int((-x^2*exp(x+2/5)-9*exp((-3*x+9)/x)+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{x} {\mathrm e}^{\frac{2}{5}}+{\mathrm e}^{\frac{9}{x}} {\mathrm e}^{-3}$&$18$\\ risch&$x -{\mathrm e}^{x +\frac{2}{5}}+{\mathrm e}^{-\frac{3 \left(x -3\right)}{x}}$&$18$\\ norman&$\frac{x^{2}+x \,{\mathrm e}^{\frac{-3 x +9}{x}}-x \,{\mathrm e}^{x +\frac{2}{5}}}{x}$&$28$\\ \hline \end{longtable}"," ",0,"x-exp(x)*exp(2/5)+exp(1/x)^9*exp(-3)","A"
6518,1,56,30,0.639000," ","int((((-5*x^2-40*x+160)*ln(3)^2-10*x^3-40*x^2+160*x)*exp((2*x^2-8*x+16)/x^2)-15*x^4*ln(3)^2-20*x^5-5*x^2)/((x^4*ln(3)^4+2*x^5*ln(3)^2+x^6)*exp((2*x^2-8*x+16)/x^2)^2+(2*x^6*ln(3)^4+(4*x^7+2*x^4)*ln(3)^2+2*x^8+2*x^5)*exp((2*x^2-8*x+16)/x^2)+x^8*ln(3)^4+(2*x^9+2*x^6)*ln(3)^2+x^10+2*x^7+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{x \left(x^{2} \ln \left(3\right)^{2}+\ln \left(3\right)^{2} {\mathrm e}^{\frac{2 x^{2}-8 x +16}{x^{2}}}+x^{3}+x \,{\mathrm e}^{\frac{2 x^{2}-8 x +16}{x^{2}}}+1\right)}$&$56$\\ norman&$\frac{5}{x \left(x^{2} \ln \left(3\right)^{2}+\ln \left(3\right)^{2} {\mathrm e}^{\frac{2 x^{2}-8 x +16}{x^{2}}}+x^{3}+x \,{\mathrm e}^{\frac{2 x^{2}-8 x +16}{x^{2}}}+1\right)}$&$58$\\ \hline \end{longtable}"," ",0,"5/x/(x^2*ln(3)^2+exp(2*(x^2-4*x+8)/x^2)*ln(3)^2+x^3+exp(2*(x^2-4*x+8)/x^2)*x+1)","A"
6519,1,30,27,0.050000," ","int(((-4*x-4)*exp(4/(x+ln(x)))+(2*x^2-2)*ln(x)^3+(4*x^3+x^2-5*x-2)*ln(x)^2+(2*x^4+2*x^3-4*x^2-4*x)*ln(x)+x^4-x^3-2*x^2)/(x*ln(x)^2+2*x^2*ln(x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)^{2}+x^{2} \ln \left(x \right)-x -2 \ln \left(x \right)+{\mathrm e}^{\frac{4}{x +\ln \left(x \right)}}$&$30$\\ \hline \end{longtable}"," ",0,"-ln(x)^2+x^2*ln(x)-x-2*ln(x)+exp(4/(x+ln(x)))","A"
6520,1,290,23,0.882000," ","int((((-2*x^3+4*x)*ln(x)*ln(x^2-2)+(-2*x^3+4*x)*ln(x))*ln((ln(x^2-2)^2+2*ln(x^2-2)+1)/ln(x)^2)^3+(4*x^2-8)*ln(x^2-2)-8*x^2*ln(x)+4*x^2-8)/((x^3-2*x)*ln(x)*ln(x^2-2)+(x^3-2*x)*ln(x))/ln((ln(x^2-2)^2+2*ln(x^2-2)+1)/ln(x)^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x -\frac{4}{\left(\pi  \mathrm{csgn}\left(i \left(\ln \left(x^{2}-2\right)+1\right)\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x^{2}-2\right)+1\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x^{2}-2\right)+1\right)\right) \mathrm{csgn}\left(i \left(\ln \left(x^{2}-2\right)+1\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(\ln \left(x^{2}-2\right)+1\right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i \left(\ln \left(x^{2}-2\right)+1\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x^{2}-2\right)+1\right)^{2}}{\ln \left(x \right)^{2}}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(\ln \left(x^{2}-2\right)+1\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x^{2}-2\right)+1\right)^{2}}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right)+\pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x^{2}-2\right)+1\right)^{2}}{\ln \left(x \right)^{2}}\right)^{3}-\pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x^{2}-2\right)+1\right)^{2}}{\ln \left(x \right)^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right)-\pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}-4 i \ln \left(\ln \left(x \right)\right)+4 i \ln \left(\ln \left(x^{2}-2\right)+1\right)\right)^{2}}$&$290$\\ \hline \end{longtable}"," ",0,"-2*x-4/(Pi*csgn(I*(ln(x^2-2)+1))^2*csgn(I*(ln(x^2-2)+1)^2)-2*Pi*csgn(I*(ln(x^2-2)+1))*csgn(I*(ln(x^2-2)+1)^2)^2+Pi*csgn(I*(ln(x^2-2)+1)^2)^3-Pi*csgn(I*(ln(x^2-2)+1)^2)*csgn(I/ln(x)^2*(ln(x^2-2)+1)^2)^2+Pi*csgn(I*(ln(x^2-2)+1)^2)*csgn(I/ln(x)^2*(ln(x^2-2)+1)^2)*csgn(I/ln(x)^2)+Pi*csgn(I/ln(x)^2*(ln(x^2-2)+1)^2)^3-Pi*csgn(I/ln(x)^2*(ln(x^2-2)+1)^2)^2*csgn(I/ln(x)^2)-Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+2*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-Pi*csgn(I*ln(x)^2)^3-4*I*ln(ln(x))+4*I*ln(ln(x^2-2)+1))^2","C"
6521,1,22,26,0.236000," ","int(((-4*x-6)*exp(1)+16*x^3+36*x^2+100*x+150)/((x^4+6*x^3+9*x^2)*exp(1)^2+(-4*x^6-24*x^5-86*x^4-300*x^3-450*x^2)*exp(1)+4*x^8+24*x^7+136*x^6+600*x^5+1525*x^4+3750*x^3+5625*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2}{x \left(3+x \right) \left(-2 x^{2}+{\mathrm e}-25\right)}$&$22$\\ gosper&$\frac{2}{x \left(-2 x^{3}+x \,{\mathrm e}-6 x^{2}+3 \,{\mathrm e}-25 x -75\right)}$&$31$\\ risch&$\frac{2}{x \left(-2 x^{3}+x \,{\mathrm e}-6 x^{2}+3 \,{\mathrm e}-25 x -75\right)}$&$31$\\ default&$-\frac{2 \left({\mathrm e}^{3}-129 \,{\mathrm e}^{2}+5547 \,{\mathrm e}-79507\right)}{3 \left(1849-86 \,{\mathrm e}+{\mathrm e}^{2}\right)^{2} \left(3+x \right)}-\frac{2 \left(25-{\mathrm e}\right)}{\left(3 \,{\mathrm e}^{2}-150 \,{\mathrm e}+1875\right) x}+\frac{\frac{2 \left(-\frac{6 \left(8772 \,{\mathrm e} \,{\mathrm e}^{2}-874964 \,{\mathrm e}^{2}+{\mathrm e} \,{\mathrm e}^{4}-154 \,{\mathrm e} \,{\mathrm e}^{3}+{\mathrm e}^{5}+14884450 \,{\mathrm e}-204 \,{\mathrm e}^{4}+16472 \,{\mathrm e}^{3}-99383750\right) x}{{\mathrm e}-25}+2 \,{\mathrm e}^{5}-874964 \,{\mathrm e}^{2}+14884450 \,{\mathrm e}-358 \,{\mathrm e}^{4}+25244 \,{\mathrm e}^{3}-99383750\right)}{-2 x^{2}+{\mathrm e}-25}+\frac{12 \left(-8772 \,{\mathrm e} \,{\mathrm e}^{2}-{\mathrm e} \,{\mathrm e}^{4}+154 \,{\mathrm e} \,{\mathrm e}^{3}+{\mathrm e}^{5}-154 \,{\mathrm e}^{4}+8772 \,{\mathrm e}^{3}\right) \arctan \left(\frac{2 x}{\sqrt{-2 \,{\mathrm e}+50}}\right)}{\left({\mathrm e}-25\right) \sqrt{-2 \,{\mathrm e}+50}}}{\left(1849-86 \,{\mathrm e}+{\mathrm e}^{2}\right)^{2} \left({\mathrm e}^{2}-50 \,{\mathrm e}+625\right)}$&$231$\\ \hline \end{longtable}"," ",0,"2/x/(3+x)/(-2*x^2+exp(1)-25)","A"
6522,1,54,19,0.071000," ","int(1/625*(1250*x*exp(x)^2+((-500*x+500)*exp(1)+150*x^2-1300*x+1000)*exp(x)-200*exp(1)^2+(120*x-860)*exp(1)-18*x^2+258*x-920)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{\left(500 x \,{\mathrm e}-150 x^{2}+1000 x \right) {\mathrm e}^{-x}}{625}+\frac{\left(100 \,{\mathrm e}^{2}-60 x \,{\mathrm e}+9 x^{2}+400 \,{\mathrm e}-120 x +400\right) {\mathrm e}^{-2 x}}{625}$&$54$\\ norman&$\left(\left(-\frac{24}{125}-\frac{12 \,{\mathrm e}}{125}\right) x +{\mathrm e}^{2 x} x^{2}+\left(\frac{4 \,{\mathrm e}}{5}+\frac{8}{5}\right) x \,{\mathrm e}^{x}+\frac{9 x^{2}}{625}-\frac{6 \,{\mathrm e}^{x} x^{2}}{25}+\frac{16}{25}+\frac{16 \,{\mathrm e}}{25}+\frac{4 \,{\mathrm e}^{2}}{25}\right) {\mathrm e}^{-2 x}$&$56$\\ default&$x^{2}+\frac{16 \,{\mathrm e}^{-2 x}}{25}-\frac{24 x \,{\mathrm e}^{-2 x}}{125}+\frac{8 x \,{\mathrm e}^{-x}}{5}+\frac{9 x^{2} {\mathrm e}^{-2 x}}{625}-\frac{6 x^{2} {\mathrm e}^{-x}}{25}-\frac{4 \,{\mathrm e} \,{\mathrm e}^{-x}}{5}+\frac{86 \,{\mathrm e}^{-2 x} {\mathrm e}}{125}+\frac{4 \,{\mathrm e}^{-2 x} {\mathrm e}^{2}}{25}+\frac{24 \,{\mathrm e} \left(-\frac{x \,{\mathrm e}^{-2 x}}{2}-\frac{{\mathrm e}^{-2 x}}{4}\right)}{125}-\frac{4 \,{\mathrm e} \left(-x \,{\mathrm e}^{-x}-{\mathrm e}^{-x}\right)}{5}$&$105$\\ \hline \end{longtable}"," ",0,"x^2+1/625*(500*x*exp(1)-150*x^2+1000*x)*exp(-x)+1/625*(100*exp(2)-60*x*exp(1)+9*x^2+400*exp(1)-120*x+400)*exp(-2*x)","B"
6523,1,3,4,0.018000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
6524,1,27,15,0.412000," ","int(((8*x^4-48*x^3+96*x^2-80*x+24)*ln(x-3)-4*x^4+16*x^3-24*x^2+16*x-4)/(x-3)/ln(x-3)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{4}-8 x^{3}+12 x^{2}-8 x +2}{\ln \left(x -3\right)^{2}}$&$27$\\ norman&$\frac{2 x^{4}-8 x^{3}+12 x^{2}-8 x +2}{\ln \left(x -3\right)^{2}}$&$28$\\ derivativedivides&$\frac{2 \left(x -3\right)^{4}}{\ln \left(x -3\right)^{2}}+\frac{16 \left(x -3\right)^{3}}{\ln \left(x -3\right)^{2}}+\frac{48 \left(x -3\right)^{2}}{\ln \left(x -3\right)^{2}}+\frac{64 x -192}{\ln \left(x -3\right)^{2}}+\frac{32}{\ln \left(x -3\right)^{2}}$&$60$\\ default&$\frac{2 \left(x -3\right)^{4}}{\ln \left(x -3\right)^{2}}+\frac{16 \left(x -3\right)^{3}}{\ln \left(x -3\right)^{2}}+\frac{48 \left(x -3\right)^{2}}{\ln \left(x -3\right)^{2}}+\frac{64 x -192}{\ln \left(x -3\right)^{2}}+\frac{32}{\ln \left(x -3\right)^{2}}$&$60$\\ \hline \end{longtable}"," ",0,"2*(x^4-4*x^3+6*x^2-4*x+1)/ln(x-3)^2","A"
6525,1,21,22,0.083000," ","int(1/135*((27*x+135)*exp(1+1/5*x)*exp(x*exp(1+1/5*x))+20*x^3+1620)*exp(exp(x*exp(1+1/5*x))+1/27*x^4+12*x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{x \,{\mathrm e}^{1+\frac{x}{5}}}+\frac{x^{4}}{27}+12 x -2}$&$21$\\ \hline \end{longtable}"," ",0,"exp(exp(x*exp(1+1/5*x))+1/27*x^4+12*x-2)","A"
6526,1,19,23,0.056000," ","int(((-x^2-17*x-76)*exp(x)+x^2+10*x)/((x^2+19*x+95)*exp(x)+x^3+24*x^2+190*x+475),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left({\mathrm e}^{x}+5+x \right)+\ln \left(x^{2}+19 x +95\right)$&$19$\\ risch&$-\ln \left({\mathrm e}^{x}+5+x \right)+\ln \left(x^{2}+19 x +95\right)$&$19$\\ \hline \end{longtable}"," ",0,"-ln(exp(x)+5+x)+ln(x^2+19*x+95)","A"
6527,1,123,22,0.087000," ","int(((-2*x^2-6*x)*ln(x)*ln(x/ln(x))+(-2*x^3-6*x^2+x+1)*ln(x)-1)/x/exp(1/4*x^2+3/2*x+1/4)^4/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-x^{2}-6 x -1} \ln \left(\ln \left(x \right)\right)+\frac{\left(-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}+2 x +2 \ln \left(x \right)\right) {\mathrm e}^{-x^{2}-6 x -1}}{2}$&$123$\\ \hline \end{longtable}"," ",0,"-exp(-x^2-6*x-1)*ln(ln(x))+1/2*(-I*Pi*csgn(I*x)*csgn(I/ln(x))*csgn(I*x/ln(x))+I*Pi*csgn(I*x)*csgn(I*x/ln(x))^2+I*Pi*csgn(I/ln(x))*csgn(I*x/ln(x))^2-I*Pi*csgn(I*x/ln(x))^3+2*x+2*ln(x))*exp(-x^2-6*x-1)","C"
6528,1,24,28,0.199000," ","int(((-2*x-1)*exp(4)*exp(3-x)+(x^2+2*x+2)*exp(4))*exp(x)/(4*exp(3-x)^2+(-8*x-16)*exp(3-x)+4*x^2+16*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x \,{\mathrm e}^{4} {\mathrm e}^{2 x}}{4 \left(-{\mathrm e}^{x} x +{\mathrm e}^{3}-2 \,{\mathrm e}^{x}\right)}$&$24$\\ risch&$\frac{x \,{\mathrm e}^{7}}{4 x^{2}+16 x +16}+\frac{x \,{\mathrm e}^{4+x}}{4 x +8}-\frac{{\mathrm e}^{10} x}{4 \left(x^{2}+4 x +4\right) \left(-{\mathrm e}^{x} x +{\mathrm e}^{3}-2 \,{\mathrm e}^{x}\right)}$&$58$\\ \hline \end{longtable}"," ",0,"-1/4*x*exp(4)*exp(x)^2/(-exp(x)*x+exp(3)-2*exp(x))","A"
6529,1,17,16,0.054000," ","int(((1-ln(2))*ln(x)^2-ln(2)*ln(x)+ln(2))/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(2\right)+x -\frac{\ln \left(2\right) x}{\ln \left(x \right)}$&$17$\\ norman&$\frac{x \left(1-\ln \left(2\right)\right) \ln \left(x \right)-x \ln \left(2\right)}{\ln \left(x \right)}$&$22$\\ default&$-x \ln \left(2\right)+x +\ln \left(2\right) \expIntegralEi \left(1, -\ln \left(x \right)\right)+\ln \left(2\right) \left(-\frac{x}{\ln \left(x \right)}-\expIntegralEi \left(1, -\ln \left(x \right)\right)\right)$&$36$\\ \hline \end{longtable}"," ",0,"-x*ln(2)+x-ln(2)/ln(x)*x","A"
6530,1,22,25,0.434000," ","int(((9-x)*ln(x-9)^2+(-x^2+9*x)*exp(x)*ln(x-9)+exp(x)*x)*exp(-exp(x)/ln(x-9))/((x^3-9*x^2)*exp(1)+5*x^3-45*x^2)/ln(x-9)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{{\mathrm e}^{x}}{\ln \left(x -9\right)}}}{x \left({\mathrm e}+5\right)}$&$22$\\ \hline \end{longtable}"," ",0,"1/x/(exp(1)+5)*exp(-exp(x)/ln(x-9))","A"
6531,1,941,22,0.444000," ","int((-2*x*ln(25*exp(x)*x)^2+(2*x*exp(2)^2+(2*x^2+6*x+2)*exp(2)-2*x^2-26*x)*ln(25*exp(x)*x)+2*x^2*exp(2)^3+(6*x^3+10*x^2+16*x)*exp(2)^2+(6*x^4+16*x^3+30*x^2+46*x+14)*exp(2)+2*x^5+6*x^4+6*x^3-10*x^2-84*x)/(x*exp(2)^3+3*x^2*exp(2)^2+3*x^3*exp(2)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}^{x}\right)^{2}}{{\mathrm e}^{4}+2 \,{\mathrm e}^{2} x +x^{2}}-\frac{\left(i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}-14-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}+2 \,{\mathrm e}^{4}+2 \,{\mathrm e}^{2} x -4 \ln \left(5\right)-4 x -2 \ln \left(x \right)\right) \ln \left({\mathrm e}^{x}\right)}{{\mathrm e}^{4}+2 \,{\mathrm e}^{2} x +x^{2}}+\frac{196+112 x -88 \,{\mathrm e}^{2} x -16 x \,{\mathrm e}^{2} \ln \left(5\right)+8 x^{2} \ln \left(x \right)+8 x \,{\mathrm e}^{2} \ln \left(x \right)+40 x \,{\mathrm e}^{4}+16 \,{\mathrm e}^{6}+112 \ln \left(5\right)+16 \ln \left(5\right)^{2}-72 \,{\mathrm e}^{4}+56 \ln \left(x \right)+4 \ln \left(x \right)^{2}+4 x^{4}+24 x^{3}+4 i \pi  \,{\mathrm e}^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)-4 i \pi  \,{\mathrm e}^{2} x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}-4 i \pi  \,{\mathrm e}^{2} x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}-8 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)-8 i \ln \left(5\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)-4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)+4 i \pi  \,{\mathrm e}^{2} x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)-16 \,{\mathrm e}^{4} \ln \left(5\right)+4 x^{2} {\mathrm e}^{4}+32 x \ln \left(5\right)+8 x^{3} {\mathrm e}^{2}+48 x^{2} {\mathrm e}^{2}+16 x \ln \left(x \right)+28 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+28 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+4 i \pi  \,{\mathrm e}^{4} \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}-8 i \ln \left(5\right) \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}-4 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}-8 i \pi  x \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}-\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{4}+16 \ln \left(5\right) \ln \left(x \right)-28 i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{5}+2 \pi^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{5}-\pi^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{4}-\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{4}-4 i \pi  \,{\mathrm e}^{4} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}-\pi^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{6}-4 i \pi  \,{\mathrm e}^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+4 i \pi  \,{\mathrm e}^{2} x \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}+8 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+8 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+8 i \ln \left(5\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+8 i \ln \left(5\right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}-28 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)}{4 \,{\mathrm e}^{4}+8 \,{\mathrm e}^{2} x +4 x^{2}}$&$941$\\ \hline \end{longtable}"," ",0,"1/(exp(4)+2*exp(2)*x+x^2)*ln(exp(x))^2-(I*Pi*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))-I*Pi*csgn(I*x)*csgn(I*x*exp(x))^2-14-I*Pi*csgn(I*exp(x))*csgn(I*x*exp(x))^2+I*Pi*csgn(I*x*exp(x))^3+2*exp(4)+2*exp(2)*x-4*ln(5)-4*x-2*ln(x))/(exp(4)+2*exp(2)*x+x^2)*ln(exp(x))+1/4*(196+112*x-88*exp(2)*x-16*x*exp(2)*ln(5)+8*x^2*ln(x)+8*x*exp(2)*ln(x)+40*x*exp(4)+16*exp(6)+112*ln(5)+16*ln(5)^2-72*exp(4)+56*ln(x)+4*ln(x)^2+4*x^4+24*x^3-16*exp(4)*ln(5)+4*x^2*exp(4)+32*x*ln(5)+8*x^3*exp(2)+48*x^2*exp(2)+16*x*ln(x)+4*I*Pi*exp(4)*csgn(I*x*exp(x))^3-8*I*ln(5)*Pi*csgn(I*x*exp(x))^3-4*I*ln(x)*Pi*csgn(I*x*exp(x))^3+28*I*Pi*csgn(I*x)*csgn(I*x*exp(x))^2+28*I*Pi*csgn(I*exp(x))*csgn(I*x*exp(x))^2-8*I*Pi*x*csgn(I*x*exp(x))^3-Pi^2*csgn(I*x)^2*csgn(I*exp(x))^2*csgn(I*x*exp(x))^2+2*Pi^2*csgn(I*x)^2*csgn(I*exp(x))*csgn(I*x*exp(x))^3+2*Pi^2*csgn(I*x)*csgn(I*exp(x))^2*csgn(I*x*exp(x))^3-4*Pi^2*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))^4+2*Pi^2*csgn(I*x)*csgn(I*x*exp(x))^5+2*Pi^2*csgn(I*exp(x))*csgn(I*x*exp(x))^5+16*ln(5)*ln(x)+4*I*Pi*exp(4)*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))-Pi^2*csgn(I*x*exp(x))^6-Pi^2*csgn(I*exp(x))^2*csgn(I*x*exp(x))^4-Pi^2*csgn(I*x)^2*csgn(I*x*exp(x))^4-28*I*Pi*csgn(I*x*exp(x))^3+4*I*Pi*exp(2)*x*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))-4*I*Pi*exp(2)*x*csgn(I*x)*csgn(I*x*exp(x))^2-4*I*Pi*exp(2)*x*csgn(I*exp(x))*csgn(I*x*exp(x))^2-8*I*Pi*x*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))-8*I*ln(5)*Pi*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))-4*I*ln(x)*Pi*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))-4*I*Pi*exp(4)*csgn(I*x)*csgn(I*x*exp(x))^2+4*I*Pi*exp(2)*x*csgn(I*x*exp(x))^3+8*I*Pi*x*csgn(I*x)*csgn(I*x*exp(x))^2+8*I*Pi*x*csgn(I*exp(x))*csgn(I*x*exp(x))^2+8*I*ln(5)*Pi*csgn(I*x)*csgn(I*x*exp(x))^2+8*I*ln(5)*Pi*csgn(I*exp(x))*csgn(I*x*exp(x))^2-28*I*Pi*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))+4*I*ln(x)*Pi*csgn(I*x)*csgn(I*x*exp(x))^2+4*I*ln(x)*Pi*csgn(I*exp(x))*csgn(I*x*exp(x))^2-4*I*Pi*exp(4)*csgn(I*exp(x))*csgn(I*x*exp(x))^2)/(exp(4)+2*exp(2)*x+x^2)","C"
6532,1,36,20,0.079000," ","int(((32*x^4+144*x^3+122*x^2-126*x-93)*exp(x^2)-24*x-27)/(16*x^4+72*x^3+57*x^2-54*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{9 x +4 x^{2}+4 \,{\mathrm e}^{x^{2}} x +9 \,{\mathrm e}^{x^{2}}}{4 x^{2}+9 x -3}$&$36$\\ risch&$\frac{3}{4 \left(x^{2}+\frac{9}{4} x -\frac{3}{4}\right)}+\frac{\left(4 x +9\right) {\mathrm e}^{x^{2}}}{4 x^{2}+9 x -3}$&$36$\\ \hline \end{longtable}"," ",0,"(9*x+4*x^2+4*exp(x^2)*x+9*exp(x^2))/(4*x^2+9*x-3)","A"
6533,1,31,30,0.105000," ","int((((-3*x^5+9*x^4+12*x^3)*exp(x-5)+6*x^5-36*x^4+60*x^3-48*x^2)*exp(1/4*x*exp(x-5)-1/4*x^2+x)+(12*x^3-48*x^2)*ln(x-4)-12*x^3+96*x^2-384*x)/((4*x^3-16*x^2)*exp(1/4*x*exp(x-5)-1/4*x^2+x)^2+((8*x^3-32*x^2)*ln(x-4)+32*x^2-128*x)*exp(1/4*x*exp(x-5)-1/4*x^2+x)+(4*x^3-16*x^2)*ln(x-4)^2+(32*x^2-128*x)*ln(x-4)+64*x-256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x^{2}}{{\mathrm e}^{-\frac{\left(-4-{\mathrm e}^{x -5}+x \right) x}{4}} x +x \ln \left(x -4\right)+4}$&$31$\\ \hline \end{longtable}"," ",0,"3*x^2/(exp(-1/4*(-4-exp(x-5)+x)*x)*x+x*ln(x-4)+4)","A"
6534,1,19,19,0.107000," ","int((exp(2)^2+(8*x^2+8*x)*exp(2)+16*x^4)/(3*exp(2)^2+24*x^2*exp(2)+48*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{3}-\frac{{\mathrm e}^{2}}{3 \left(4 x^{2}+{\mathrm e}^{2}\right)}$&$19$\\ gosper&$\frac{4 x^{3}+{\mathrm e}^{2} x -{\mathrm e}^{2}}{12 x^{2}+3 \,{\mathrm e}^{2}}$&$27$\\ norman&$\frac{\frac{4 x^{3}}{3}+\frac{{\mathrm e}^{2} x}{3}-\frac{{\mathrm e}^{2}}{3}}{4 x^{2}+{\mathrm e}^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"1/3*x-1/3*exp(2)/(4*x^2+exp(2))","A"
6535,1,40,30,0.239000," ","int((((2*x^3-6*x)*ln(2)^2+(-4*x^3+12*x)*exp(4)*ln(2)+(2*x^3-6*x)*exp(4)^2)*ln(x)^2+((12*x^3-60*x^2-18*x)*ln(2)+(-12*x^3+60*x^2+18*x)*exp(4))*ln(x)+(18*x-90)*ln(2)+(-18*x+90)*exp(4)+18*x^3-180*x^2+450*x)/((x^3*ln(2)^2-2*x^3*exp(4)*ln(2)+x^3*exp(4)^2)*ln(x)^2+((6*x^3-30*x^2)*ln(2)+(-6*x^3+30*x^2)*exp(4))*ln(x)+9*x^3-90*x^2+225*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{2}+6}{x}+\frac{18 x -90}{x \left(x \,{\mathrm e}^{4} \ln \left(x \right)-x \ln \left(2\right) \ln \left(x \right)-3 x +15\right)}$&$40$\\ norman&$\frac{\left(6 \,{\mathrm e}^{4}-6 \ln \left(2\right)\right) \ln \left(x \right)+\left(2 \,{\mathrm e}^{4}-2 \ln \left(2\right)\right) x^{2} \ln \left(x \right)+\left(10 \,{\mathrm e}^{4}-10 \ln \left(2\right)\right) x \ln \left(x \right)-6 x^{2}+150}{x \,{\mathrm e}^{4} \ln \left(x \right)-x \ln \left(2\right) \ln \left(x \right)-3 x +15}$&$69$\\ \hline \end{longtable}"," ",0,"2*(x^2+3)/x+18*(x-5)/x/(x*exp(4)*ln(x)-x*ln(2)*ln(x)-3*x+15)","A"
6536,1,19,20,0.388000," ","int(((6*x-12)*exp(x)-60*x)*exp(1/2*(3*exp(x)+x^2+30*x)/x^2)^4*exp(exp(1/2*(3*exp(x)+x^2+30*x)/x^2)^4)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{6 \,{\mathrm e}^{x}+2 x^{2}+60 x}{x^{2}}}}$&$19$\\ \hline \end{longtable}"," ",0,"exp(exp(2*(3*exp(x)+x^2+30*x)/x^2))","A"
6537,1,31,26,0.052000," ","int((-250*exp(5)^2*ln(x^2)+(-250*exp(1)^2+246)*exp(5)^2-x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{125 \,{\mathrm e}^{10} \ln \left(x^{2}\right)}{x^{2}}+\frac{125 \,{\mathrm e}^{12}+2 \,{\mathrm e}^{10}-x^{3}}{x^{2}}$&$31$\\ default&$-x +\frac{250 \,{\mathrm e}^{12}-246 \,{\mathrm e}^{10}}{2 x^{2}}+\frac{125 \,{\mathrm e}^{10} \ln \left(x^{2}\right)}{x^{2}}+\frac{125 \,{\mathrm e}^{10}}{x^{2}}$&$41$\\ \hline \end{longtable}"," ",0,"125*exp(10)/x^2*ln(x^2)+(125*exp(12)+2*exp(10)-x^3)/x^2","A"
6538,1,31,25,0.043000," ","int((81*exp(2)*ln(5)+16*ln(2)^4+405)/(16*exp(2)*ln(2)^4*ln(5)+80*ln(2)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(81 \,{\mathrm e}^{2} \ln \left(5\right)+16 \ln \left(2\right)^{4}+405\right) x}{16 \ln \left(2\right)^{4} \left({\mathrm e}^{2} \ln \left(5\right)+5\right)}$&$31$\\ default&$\frac{\left(81 \,{\mathrm e}^{2} \ln \left(5\right)+16 \ln \left(2\right)^{4}+405\right) x}{16 \,{\mathrm e}^{2} \ln \left(2\right)^{4} \ln \left(5\right)+80 \ln \left(2\right)^{4}}$&$36$\\ risch&$\frac{16 x \ln \left(2\right)^{4}}{16 \,{\mathrm e}^{2} \ln \left(2\right)^{4} \ln \left(5\right)+80 \ln \left(2\right)^{4}}+\frac{81 x \,{\mathrm e}^{2} \ln \left(5\right)}{16 \,{\mathrm e}^{2} \ln \left(2\right)^{4} \ln \left(5\right)+80 \ln \left(2\right)^{4}}+\frac{405 x}{16 \,{\mathrm e}^{2} \ln \left(2\right)^{4} \ln \left(5\right)+80 \ln \left(2\right)^{4}}$&$76$\\ \hline \end{longtable}"," ",0,"1/16*(81*exp(2)*ln(5)+16*ln(2)^4+405)/ln(2)^4/(exp(2)*ln(5)+5)*x","A"
6539,1,617,22,0.390000," ","int((((exp(6)^2+(2*x+6)*exp(6)+x^2+6*x+9)*exp(x)^2+(2*x^2*exp(6)+2*x^3+6*x^2)*exp(x)+x^4+x^3)*ln(((exp(6)^2+(2*x+6)*exp(6)+x^2+6*x+9)*exp(x)^2+(2*x^2*exp(6)+2*x^3+6*x^2)*exp(x)+x^4+x^3)/x^2)+((-2*x+2)*exp(6)^2+(-4*x^2-10*x+12)*exp(6)-2*x^3-12*x^2-12*x+18)*exp(x)^2+(-2*x^3*exp(6)-2*x^4-8*x^3)*exp(x)-2*x^4-x^3)/((exp(6)^2+(2*x+6)*exp(6)+x^2+6*x+9)*exp(x)^2+(2*x^2*exp(6)+2*x^3+6*x^2)*exp(x)+x^4+x^3)/ln(((exp(6)^2+(2*x+6)*exp(6)+x^2+6*x+9)*exp(x)^2+(2*x^2*exp(6)+2*x^3+6*x^2)*exp(x)+x^4+x^3)/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 i x}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{2 x +12}+\left(2 \,{\mathrm e}^{x} x^{2}+2 x \,{\mathrm e}^{2 x}+6 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{6}+x^{4}+\left(2 \,{\mathrm e}^{x}+1\right) x^{3}+\left({\mathrm e}^{2 x}+6 \,{\mathrm e}^{x}\right) x^{2}+6 x \,{\mathrm e}^{2 x}+9 \,{\mathrm e}^{2 x}\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x +12}+\left(2 \,{\mathrm e}^{x} x^{2}+2 x \,{\mathrm e}^{2 x}+6 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{6}+x^{4}+\left(2 \,{\mathrm e}^{x}+1\right) x^{3}+\left({\mathrm e}^{2 x}+6 \,{\mathrm e}^{x}\right) x^{2}+6 x \,{\mathrm e}^{2 x}+9 \,{\mathrm e}^{2 x}\right)}{x^{2}}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{2 x +12}+\left(2 \,{\mathrm e}^{x} x^{2}+2 x \,{\mathrm e}^{2 x}+6 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{6}+x^{4}+\left(2 \,{\mathrm e}^{x}+1\right) x^{3}+\left({\mathrm e}^{2 x}+6 \,{\mathrm e}^{x}\right) x^{2}+6 x \,{\mathrm e}^{2 x}+9 \,{\mathrm e}^{2 x}\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x +12}+\left(2 \,{\mathrm e}^{x} x^{2}+2 x \,{\mathrm e}^{2 x}+6 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{6}+x^{4}+\left(2 \,{\mathrm e}^{x}+1\right) x^{3}+\left({\mathrm e}^{2 x}+6 \,{\mathrm e}^{x}\right) x^{2}+6 x \,{\mathrm e}^{2 x}+9 \,{\mathrm e}^{2 x}\right)}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right)-\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x +12}+\left(2 \,{\mathrm e}^{x} x^{2}+2 x \,{\mathrm e}^{2 x}+6 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{6}+x^{4}+\left(2 \,{\mathrm e}^{x}+1\right) x^{3}+\left({\mathrm e}^{2 x}+6 \,{\mathrm e}^{x}\right) x^{2}+6 x \,{\mathrm e}^{2 x}+9 \,{\mathrm e}^{2 x}\right)}{x^{2}}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x +12}+\left(2 \,{\mathrm e}^{x} x^{2}+2 x \,{\mathrm e}^{2 x}+6 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{6}+x^{4}+\left(2 \,{\mathrm e}^{x}+1\right) x^{3}+\left({\mathrm e}^{2 x}+6 \,{\mathrm e}^{x}\right) x^{2}+6 x \,{\mathrm e}^{2 x}+9 \,{\mathrm e}^{2 x}\right)}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)+4 i \ln \left(x \right)-2 i \ln \left({\mathrm e}^{2 x +12}+\left(2 \,{\mathrm e}^{x} x^{2}+2 x \,{\mathrm e}^{2 x}+6 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{6}+x^{4}+\left(2 \,{\mathrm e}^{x}+1\right) x^{3}+\left({\mathrm e}^{2 x}+6 \,{\mathrm e}^{x}\right) x^{2}+6 x \,{\mathrm e}^{2 x}+9 \,{\mathrm e}^{2 x}\right)}$&$617$\\ \hline \end{longtable}"," ",0,"-2*I*x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*(exp(2*x+12)+(2*exp(x)*x^2+2*x*exp(2*x)+6*exp(2*x))*exp(6)+x^4+(2*exp(x)+1)*x^3+(exp(2*x)+6*exp(x))*x^2+6*x*exp(2*x)+9*exp(2*x)))*csgn(I/x^2*(exp(2*x+12)+(2*exp(x)*x^2+2*x*exp(2*x)+6*exp(2*x))*exp(6)+x^4+(2*exp(x)+1)*x^3+(exp(2*x)+6*exp(x))*x^2+6*x*exp(2*x)+9*exp(2*x)))^2-Pi*csgn(I*(exp(2*x+12)+(2*exp(x)*x^2+2*x*exp(2*x)+6*exp(2*x))*exp(6)+x^4+(2*exp(x)+1)*x^3+(exp(2*x)+6*exp(x))*x^2+6*x*exp(2*x)+9*exp(2*x)))*csgn(I/x^2*(exp(2*x+12)+(2*exp(x)*x^2+2*x*exp(2*x)+6*exp(2*x))*exp(6)+x^4+(2*exp(x)+1)*x^3+(exp(2*x)+6*exp(x))*x^2+6*x*exp(2*x)+9*exp(2*x)))*csgn(I/x^2)-Pi*csgn(I/x^2*(exp(2*x+12)+(2*exp(x)*x^2+2*x*exp(2*x)+6*exp(2*x))*exp(6)+x^4+(2*exp(x)+1)*x^3+(exp(2*x)+6*exp(x))*x^2+6*x*exp(2*x)+9*exp(2*x)))^3+Pi*csgn(I/x^2*(exp(2*x+12)+(2*exp(x)*x^2+2*x*exp(2*x)+6*exp(2*x))*exp(6)+x^4+(2*exp(x)+1)*x^3+(exp(2*x)+6*exp(x))*x^2+6*x*exp(2*x)+9*exp(2*x)))^2*csgn(I/x^2)+4*I*ln(x)-2*I*ln(exp(2*x+12)+(2*exp(x)*x^2+2*x*exp(2*x)+6*exp(2*x))*exp(6)+x^4+(2*exp(x)+1)*x^3+(exp(2*x)+6*exp(x))*x^2+6*x*exp(2*x)+9*exp(2*x)))","C"
6540,1,27,19,0.424000," ","int(1/3*(x^6*exp(exp(1)^8/x^4)^2+(12*x*exp(1)^8+3*x^5)*exp(exp(1)^8/x^4)+36*exp(1)^8)/x^5/exp(exp(1)^8/x^4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{6}+x \,{\mathrm e}^{-\frac{{\mathrm e}^{8}}{x^{4}}}+\frac{3 \,{\mathrm e}^{-\frac{2 \,{\mathrm e}^{8}}{x^{4}}}}{2}$&$27$\\ norman&$\frac{\left({\mathrm e}^{\frac{{\mathrm e}^{8}}{x^{4}}} x^{5}+\frac{3 x^{4}}{2}+\frac{x^{6} {\mathrm e}^{\frac{2 \,{\mathrm e}^{8}}{x^{4}}}}{6}\right) {\mathrm e}^{-\frac{2 \,{\mathrm e}^{8}}{x^{4}}}}{x^{4}}$&$51$\\ \hline \end{longtable}"," ",0,"1/6*x^2+x*exp(-exp(8)/x^4)+3/2*exp(-2*exp(8)/x^4)","A"
6541,1,48,32,0.059000," ","int((-10*x*ln(x)*ln(ln(x))^2+((20*x^5+200*x^4+500*x^3+40*x)*exp(x)-x^2)*ln(x)*ln(ln(x))+((-10*x^9-200*x^8-1500*x^7-5000*x^6-6290*x^5-400*x^4-1000*x^3-40*x)*exp(x)^2+(x^7+15*x^6+65*x^5+75*x^4+2*x^3+2*x^2)*exp(x))*ln(x)-x^2)/(25*ln(x)*ln(ln(x))^2+((-50*x^4-500*x^3-1250*x^2-100)*exp(x)+10*x)*ln(x)*ln(ln(x))+((25*x^8+500*x^7+3750*x^6+12500*x^5+15725*x^4+1000*x^3+2500*x^2+100)*exp(x)^2+(-10*x^5-100*x^4-250*x^3-20*x)*exp(x)+x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}}{5}-\frac{x^{3}}{5 \left(5 \,{\mathrm e}^{x} x^{4}+50 \,{\mathrm e}^{x} x^{3}+125 \,{\mathrm e}^{x} x^{2}-x +10 \,{\mathrm e}^{x}-5 \ln \left(\ln \left(x \right)\right)\right)}$&$48$\\ \hline \end{longtable}"," ",0,"-1/5*x^2-1/5*x^3/(5*exp(x)*x^4+50*exp(x)*x^3+125*exp(x)*x^2-x+10*exp(x)-5*ln(ln(x)))","A"
6542,1,14,26,0.047000," ","int(((-4*x-1)*exp(2)+20*x+5)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left({\mathrm e}^{2}-5\right) \left(-\ln \left(x \right)-4 x \right)$&$14$\\ norman&$\left(-4 \,{\mathrm e}^{2}+20\right) x +\left(5-{\mathrm e}^{2}\right) \ln \left(x \right)$&$19$\\ risch&$-4 \,{\mathrm e}^{2} x +20 x -{\mathrm e}^{2} \ln \left(x \right)+5 \ln \left(x \right)$&$20$\\ \hline \end{longtable}"," ",0,"(exp(2)-5)*(-ln(x)-4*x)","A"
6543,1,17,17,0.052000," ","int((24*x^4+2*x+2)*exp(2*ln(12*x)+6*x^4+2*x-10)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$144 x^{2} {\mathrm e}^{6 x^{4}+2 x -10}$&$17$\\ gosper&${\mathrm e}^{2 \ln \left(12 x \right)+6 x^{4}+2 x -10}$&$18$\\ norman&${\mathrm e}^{2 \ln \left(12 x \right)+6 x^{4}+2 x -10}$&$18$\\ \hline \end{longtable}"," ",0,"144*x^2*exp(6*x^4+2*x-10)","A"
6544,1,53,21,0.034000," ","int((6*x^2*ln(x)^2+(-288*x^3+54*x^2-384*x+24)*ln(x)+3072*x^4-1230*x^3+6246*x^2-1896*x+96)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(3 x^{2}+12\right) \ln \left(x \right)^{2}+\left(-96 x^{3}+24 x^{2}-384 x \right) \ln \left(x \right)+768 x^{4}-378 x^{3}+3111 x^{2}-1512 x +96 \ln \left(x \right)$&$53$\\ default&$3 x^{2} \ln \left(x \right)^{2}+24 x^{2} \ln \left(x \right)+3111 x^{2}-96 x^{3} \ln \left(x \right)-378 x^{3}+768 x^{4}-384 x \ln \left(x \right)-1512 x +12 \ln \left(x \right)^{2}+96 \ln \left(x \right)$&$58$\\ norman&$3 x^{2} \ln \left(x \right)^{2}+24 x^{2} \ln \left(x \right)+3111 x^{2}-96 x^{3} \ln \left(x \right)-378 x^{3}+768 x^{4}-384 x \ln \left(x \right)-1512 x +12 \ln \left(x \right)^{2}+96 \ln \left(x \right)$&$58$\\ \hline \end{longtable}"," ",0,"(3*x^2+12)*ln(x)^2+(-96*x^3+24*x^2-384*x)*ln(x)+768*x^4-378*x^3+3111*x^2-1512*x+96*ln(x)","B"
6545,1,786,31,0.344000," ","int(((-10*x^3+30*x^2+150*x)*exp(x)+6*x^3-20*x^2-160*x+100)/((5*x^3-25*x^2)*exp(x)-x^4+30*x^2-25*x)/ln((25*x^6*exp(x)^2+(-10*x^7-50*x^6+50*x^5)*exp(x)+x^8+10*x^7+15*x^6-50*x^5+25*x^4)/(25*x^2-250*x+625))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i}{8 i \ln \left(x \right)-4 i \ln \left(5\right)+\pi  \,\mathrm{csgn}\left(\frac{i \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)^{2}}{\left(x -5\right)^{2}}\right) \mathrm{csgn}\left(\frac{i x^{4} \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)^{2}}{\left(x -5\right)^{2}}\right) \mathrm{csgn}\left(i x^{4}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{\left(x -5\right)^{2}}\right) \mathrm{csgn}\left(i \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)^{2}}{\left(x -5\right)^{2}}\right)+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x^{4}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i x^{4} \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)^{2}}{\left(x -5\right)^{2}}\right)^{3}+\pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+\pi  \mathrm{csgn}\left(i \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)^{2}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)^{2}}{\left(x -5\right)^{2}}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x -5\right)^{2}\right)^{3}-4 i \ln \left(x -5\right)+4 i \ln \left(-5+x^{2}+\left(-5 \,{\mathrm e}^{x}+5\right) x \right)+\pi  \mathrm{csgn}\left(i \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)\right)^{2} \mathrm{csgn}\left(i \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)^{2}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x -5\right)\right)^{2} \mathrm{csgn}\left(i \left(x -5\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x -5\right)\right) \mathrm{csgn}\left(i \left(x -5\right)^{2}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)^{2}}{\left(x -5\right)^{2}}\right) \mathrm{csgn}\left(\frac{i x^{4} \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)^{2}}{\left(x -5\right)^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i x^{4} \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)^{2}}{\left(x -5\right)^{2}}\right)^{2} \mathrm{csgn}\left(i x^{4}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{\left(x -5\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)^{2}}{\left(x -5\right)^{2}}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)^{2}}{\left(x -5\right)^{2}}\right)^{2}+2 \pi  \,\mathrm{csgn}\left(i \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)\right) \mathrm{csgn}\left(i \left(5-x^{2}-\left(-5 \,{\mathrm e}^{x}+5\right) x \right)^{2}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}$&$786$\\ \hline \end{longtable}"," ",0,"2*I/(Pi*csgn(I/(x-5)^2*(5-x^2-(-5*exp(x)+5)*x)^2)*csgn(I*x^4*(5-x^2-(-5*exp(x)+5)*x)^2/(x-5)^2)*csgn(I*x^4)+Pi*csgn(I/(x-5)^2)*csgn(I*(5-x^2-(-5*exp(x)+5)*x)^2)*csgn(I/(x-5)^2*(5-x^2-(-5*exp(x)+5)*x)^2)+Pi*csgn(I*(5-x^2-(-5*exp(x)+5)*x))^2*csgn(I*(5-x^2-(-5*exp(x)+5)*x)^2)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+Pi*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)-Pi*csgn(I*x)*csgn(I*x^4)^2-Pi*csgn(I*x^3)*csgn(I*x^4)^2+Pi*csgn(I*x^4)^3-Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)+2*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2+Pi*csgn(I*x^4*(5-x^2-(-5*exp(x)+5)*x)^2/(x-5)^2)^3-Pi*csgn(I/(x-5)^2*(5-x^2-(-5*exp(x)+5)*x)^2)*csgn(I*x^4*(5-x^2-(-5*exp(x)+5)*x)^2/(x-5)^2)^2-Pi*csgn(I*x^4*(5-x^2-(-5*exp(x)+5)*x)^2/(x-5)^2)^2*csgn(I*x^4)-Pi*csgn(I/(x-5)^2)*csgn(I/(x-5)^2*(5-x^2-(-5*exp(x)+5)*x)^2)^2-Pi*csgn(I*(5-x^2-(-5*exp(x)+5)*x)^2)*csgn(I/(x-5)^2*(5-x^2-(-5*exp(x)+5)*x)^2)^2+2*Pi*csgn(I*(5-x^2-(-5*exp(x)+5)*x))*csgn(I*(5-x^2-(-5*exp(x)+5)*x)^2)^2+Pi*csgn(I*x^3)^3-Pi*csgn(I*x)*csgn(I*x^3)^2-Pi*csgn(I*x^2)*csgn(I*x^3)^2+8*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*(5-x^2-(-5*exp(x)+5)*x)^2)^3+Pi*csgn(I/(x-5)^2*(5-x^2-(-5*exp(x)+5)*x)^2)^3-Pi*csgn(I*(x-5)^2)^3-4*I*ln(5)-4*I*ln(x-5)+4*I*ln(-5+x^2+(-5*exp(x)+5)*x))","C"
6546,1,10,11,0.047000," ","int(-1/3*exp(2)-4/3*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{\left({\mathrm e}^{2}+2 x \right) x}{3}$&$10$\\ default&$-\frac{{\mathrm e}^{2} x}{3}-\frac{2 x^{2}}{3}$&$12$\\ norman&$-\frac{{\mathrm e}^{2} x}{3}-\frac{2 x^{2}}{3}$&$12$\\ risch&$-\frac{{\mathrm e}^{2} x}{3}-\frac{2 x^{2}}{3}$&$12$\\ \hline \end{longtable}"," ",0,"-1/3*(exp(2)+2*x)*x","A"
6547,1,17,29,0.046000," ","int((-2*x*exp(4*exp(x))+4*exp(x)*x^2-2*x)/exp(4*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-x^{2} {\mathrm e}^{-4 \,{\mathrm e}^{x}}$&$17$\\ norman&$\left(-x^{2}-x^{2} {\mathrm e}^{4 \,{\mathrm e}^{x}}\right) {\mathrm e}^{-4 \,{\mathrm e}^{x}}$&$25$\\ \hline \end{longtable}"," ",0,"-x^2-x^2*exp(-4*exp(x))","A"
6548,1,7,8,0.422000," ","int((2*x-5)/(x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\left(x -5\right) x \right)$&$7$\\ norman&$\ln \left(x \right)+\ln \left(x -5\right)$&$8$\\ derivativedivides&$\ln \left(x^{2}-5 x \right)$&$9$\\ risch&$\ln \left(x^{2}-5 x \right)$&$9$\\ meijerg&$\ln \left(1-\frac{x}{5}\right)+\ln \left(x \right)-\ln \left(5\right)+i \pi$&$18$\\ \hline \end{longtable}"," ",0,"ln((x-5)*x)","A"
6549,1,41,29,0.093000," ","int(((-9*x-18)*exp(-5*x^2+x+4)^2+(30*x^2-3*x+6)*exp(-5*x^2+x+4))/((x^5+6*x^4+9*x^3)*exp(-5*x^2+x+4)^2+(-2*x^4-6*x^3)*exp(-5*x^2+x+4)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 \,{\mathrm e}^{-5 x^{2}+x +4}}{x^{2} \left({\mathrm e}^{-5 x^{2}+x +4} x +3 \,{\mathrm e}^{-5 x^{2}+x +4}-1\right)}$&$41$\\ risch&$\frac{3}{x^{2} \left(3+x \right)}+\frac{3}{x^{2} \left(3+x \right) \left({\mathrm e}^{-\left(4+5 x \right) \left(x -1\right)} x +3 \,{\mathrm e}^{-\left(4+5 x \right) \left(x -1\right)}-1\right)}$&$52$\\ \hline \end{longtable}"," ",0,"3*exp(-5*x^2+x+4)/x^2/(exp(-5*x^2+x+4)*x+3*exp(-5*x^2+x+4)-1)","A"
6550,1,20,15,0.523000," ","int(((9*x^4-24*x^3+9*x^2)*exp(2/(x-1))-9*x^4+18*x^3-9*x^2)/(x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x^{3} {\mathrm e}^{\frac{2}{x -1}}-3 x^{3}$&$20$\\ norman&$\frac{3 x^{3}-3 x^{4}-3 x^{3} {\mathrm e}^{\frac{2}{x -1}}+3 x^{4} {\mathrm e}^{\frac{2}{x -1}}}{x -1}$&$44$\\ derivativedivides&$-3 \left(x -1\right)^{3}-9 \left(x -1\right)^{2}-9 x +9+3 \,{\mathrm e}^{\frac{2}{x -1}} \left(x -1\right)^{3}+9 \,{\mathrm e}^{\frac{2}{x -1}} \left(x -1\right)^{2}+9 \,{\mathrm e}^{\frac{2}{x -1}} \left(x -1\right)+3 \,{\mathrm e}^{\frac{2}{x -1}}$&$73$\\ default&$-3 \left(x -1\right)^{3}-9 \left(x -1\right)^{2}-9 x +9+3 \,{\mathrm e}^{\frac{2}{x -1}} \left(x -1\right)^{3}+9 \,{\mathrm e}^{\frac{2}{x -1}} \left(x -1\right)^{2}+9 \,{\mathrm e}^{\frac{2}{x -1}} \left(x -1\right)+3 \,{\mathrm e}^{\frac{2}{x -1}}$&$73$\\ \hline \end{longtable}"," ",0,"3*x^3*exp(2/(x-1))-3*x^3","A"
6551,0,0,20,0.026000," ","int((((8*x-1)*exp(x)-16*x+2)*ln(exp(x)-2)+((-4*x^2+x)*exp(x)+16*x^2-4*x)*ln(4*x^2-x)+(-16*x^2+2*x)*exp(x)+32*x^2-4*x)/((4*x^2-x)*exp(x)-8*x^2+2*x),x)","\[\int \frac{\left(\left(8 x -1\right) {\mathrm e}^{x}-16 x +2\right) \ln \left({\mathrm e}^{x}-2\right)+\left(\left(-4 x^{2}+x \right) {\mathrm e}^{x}+16 x^{2}-4 x \right) \ln \left(4 x^{2}-x \right)+\left(-16 x^{2}+2 x \right) {\mathrm e}^{x}+32 x^{2}-4 x}{\left(4 x^{2}-x \right) {\mathrm e}^{x}-8 x^{2}+2 x}\, dx\]"," ",0,"int((((8*x-1)*exp(x)-16*x+2)*ln(exp(x)-2)+((-4*x^2+x)*exp(x)+16*x^2-4*x)*ln(4*x^2-x)+(-16*x^2+2*x)*exp(x)+32*x^2-4*x)/((4*x^2-x)*exp(x)-8*x^2+2*x),x)","F"
6552,1,14,14,0.039000," ","int(1/10*(-3*exp(16)+3*exp(5)-771)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{3 \left(-{\mathrm e}^{16}+{\mathrm e}^{5}-257\right)}{10 x}$&$14$\\ norman&$\frac{\frac{3 \,{\mathrm e}^{16}}{10}-\frac{3 \,{\mathrm e}^{5}}{10}+\frac{771}{10}}{x}$&$15$\\ default&$-\frac{-\frac{3 \,{\mathrm e}^{16}}{10}+\frac{3 \,{\mathrm e}^{5}}{10}-\frac{771}{10}}{x}$&$16$\\ risch&$\frac{3 \,{\mathrm e}^{16}}{10 x}-\frac{3 \,{\mathrm e}^{5}}{10 x}+\frac{771}{10 x}$&$21$\\ \hline \end{longtable}"," ",0,"-3/10*(-exp(16)+exp(5)-257)/x","A"
6553,1,39,32,0.169000," ","int((((((16*x-8)*exp(x)+64*x^2-32*x)*exp(2*x)-4*exp(x)*x^2-16*x^2)*ln(x)^2+(32*x-16)*exp(2*x)*ln(x)+8*x)*exp((2*exp(2*x)-10*x)/x)+(8*exp(x)*x^2+32*x^2)*ln(x)^2-16*x)/(x^2*ln(x)^2*exp((2*exp(2*x)-10*x)/x)^2-4*x^2*ln(x)^2*exp((2*exp(2*x)-10*x)/x)+4*x^2*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \left(4 x \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)+2\right)}{\ln \left(x \right) \left({\mathrm e}^{-\frac{2 \left(-{\mathrm e}^{2 x}+5 x \right)}{x}}-2\right)}$&$39$\\ \hline \end{longtable}"," ",0,"-4*(4*x*ln(x)+exp(x)*ln(x)+2)/ln(x)/(exp(-2*(-exp(2*x)+5*x)/x)-2)","A"
6554,1,47,21,0.053000," ","int((2*exp(5)^2+(-4*x-2)*exp(5)+2*x^2+2*x)*exp(x)^2+((4*x+8)*exp(5)-4*x^2-12*x-4)*exp(x)+8*x+8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{10}-2 x \,{\mathrm e}^{5}+x^{2}\right) {\mathrm e}^{2 x}+\left(4 x \,{\mathrm e}^{5}-4 x^{2}+4 \,{\mathrm e}^{5}-4 x \right) {\mathrm e}^{x}+4 x^{2}+8 x$&$47$\\ norman&${\mathrm e}^{10} {\mathrm e}^{2 x}+{\mathrm e}^{2 x} x^{2}+\left(4 \,{\mathrm e}^{5}-4\right) x \,{\mathrm e}^{x}+8 x +4 x^{2}+4 \,{\mathrm e}^{5} {\mathrm e}^{x}-4 \,{\mathrm e}^{x} x^{2}-2 x \,{\mathrm e}^{5} {\mathrm e}^{2 x}$&$59$\\ default&$8 x +{\mathrm e}^{2 x} x^{2}-{\mathrm e}^{5} {\mathrm e}^{2 x}+{\mathrm e}^{10} {\mathrm e}^{2 x}-4 \,{\mathrm e}^{5} \left(\frac{x \,{\mathrm e}^{2 x}}{2}-\frac{{\mathrm e}^{2 x}}{4}\right)-4 \,{\mathrm e}^{x} x -4 \,{\mathrm e}^{x} x^{2}+8 \,{\mathrm e}^{5} {\mathrm e}^{x}+4 \,{\mathrm e}^{5} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+4 x^{2}$&$84$\\ \hline \end{longtable}"," ",0,"(exp(10)-2*x*exp(5)+x^2)*exp(2*x)+(4*x*exp(5)-4*x^2+4*exp(5)-4*x)*exp(x)+4*x^2+8*x","B"
6555,1,34,22,0.580000," ","int(((4*x^2+32*x+64)*ln(1/4*exp((x*exp(3)+144*x+576)/(16*x+64)))-x*exp(3))/(10*x^2+80*x+160)/ln(1/4*exp((x*exp(3)+144*x+576)/(16*x+64)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 i x}{5 \left(4 i \ln \left(2\right)-2 i \ln \left({\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}\right)\right)}$&$34$\\ norman&$\frac{\frac{8}{5} x +\frac{2}{5} x^{2}}{\left(4+x \right) \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)}$&$39$\\ default&$\frac{32 x}{5 \left({\mathrm e}^{3}+16 \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{16 \left(x \,{\mathrm e}^{3}+144 x +576\right)}{16 x +64}+144\right)}+\frac{128 \,{\mathrm e}^{3} \ln \left(x \,{\mathrm e}^{3}+16 \left(\ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}\right) x +144 x +64 \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{64 \left(x \,{\mathrm e}^{3}+144 x +576\right)}{16 x +64}+576\right)}{5 \left({\mathrm e}^{3}+16 \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{16 \left(x \,{\mathrm e}^{3}+144 x +576\right)}{16 x +64}+144\right)^{2}}-\frac{128 \,{\mathrm e}^{3} \ln \left(x \,{\mathrm e}^{3}+16 \left(\ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}\right) x +144 x +64 \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{64 \left(x \,{\mathrm e}^{3}+144 x +576\right)}{16 x +64}+576\right)}{5 \left({\mathrm e}^{3}+16 \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{16 \,{\mathrm e}^{3} x}{16 x +64}-\frac{2304 x}{16 x +64}-\frac{9216}{16 x +64}+144\right)^{2}}-\frac{8192 \,{\mathrm e}^{3} \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)}{5 \left({\mathrm e}^{3}+16 \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{16 \,{\mathrm e}^{3} x}{16 x +64}-\frac{2304 x}{16 x +64}-\frac{9216}{16 x +64}+144\right)^{2} \left(x \,{\mathrm e}^{3}+16 x \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{16 x^{2} {\mathrm e}^{3}}{16 x +64}-\frac{2304 x^{2}}{16 x +64}-\frac{18432 x}{16 x +64}+144 x +64 \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{64 \,{\mathrm e}^{3} x}{16 x +64}-\frac{36864}{16 x +64}+576\right)}+\frac{8192 x \,{\mathrm e}^{6}}{5 \left({\mathrm e}^{3}+16 \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{16 \,{\mathrm e}^{3} x}{16 x +64}-\frac{2304 x}{16 x +64}-\frac{9216}{16 x +64}+144\right)^{2} \left(x \,{\mathrm e}^{3}+16 x \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{16 x^{2} {\mathrm e}^{3}}{16 x +64}-\frac{2304 x^{2}}{16 x +64}-\frac{18432 x}{16 x +64}+144 x +64 \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{64 \,{\mathrm e}^{3} x}{16 x +64}-\frac{36864}{16 x +64}+576\right) \left(16 x +64\right)}+\frac{1179648 x \,{\mathrm e}^{3}}{5 \left({\mathrm e}^{3}+16 \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{16 \,{\mathrm e}^{3} x}{16 x +64}-\frac{2304 x}{16 x +64}-\frac{9216}{16 x +64}+144\right)^{2} \left(x \,{\mathrm e}^{3}+16 x \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{16 x^{2} {\mathrm e}^{3}}{16 x +64}-\frac{2304 x^{2}}{16 x +64}-\frac{18432 x}{16 x +64}+144 x +64 \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{64 \,{\mathrm e}^{3} x}{16 x +64}-\frac{36864}{16 x +64}+576\right) \left(16 x +64\right)}+\frac{4718592 \,{\mathrm e}^{3}}{5 \left({\mathrm e}^{3}+16 \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{16 \,{\mathrm e}^{3} x}{16 x +64}-\frac{2304 x}{16 x +64}-\frac{9216}{16 x +64}+144\right)^{2} \left(x \,{\mathrm e}^{3}+16 x \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{16 x^{2} {\mathrm e}^{3}}{16 x +64}-\frac{2304 x^{2}}{16 x +64}-\frac{18432 x}{16 x +64}+144 x +64 \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{64 \,{\mathrm e}^{3} x}{16 x +64}-\frac{36864}{16 x +64}+576\right) \left(16 x +64\right)}-\frac{73728 \,{\mathrm e}^{3}}{5 \left({\mathrm e}^{3}+16 \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{16 \,{\mathrm e}^{3} x}{16 x +64}-\frac{2304 x}{16 x +64}-\frac{9216}{16 x +64}+144\right)^{2} \left(x \,{\mathrm e}^{3}+16 x \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{16 x^{2} {\mathrm e}^{3}}{16 x +64}-\frac{2304 x^{2}}{16 x +64}-\frac{18432 x}{16 x +64}+144 x +64 \ln \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}+144 x +576}{16 x +64}}}{4}\right)-\frac{64 \,{\mathrm e}^{3} x}{16 x +64}-\frac{36864}{16 x +64}+576\right)}$&$1296$\\ \hline \end{longtable}"," ",0,"-4/5*I*x/(4*I*ln(2)-2*I*ln(exp(1/16*(x*exp(3)+144*x+576)/(4+x))))","C"
6556,1,20,19,0.048000," ","int(((-40*x-8)*exp(x+6)^2*ln(10*x+2)+20)/((1+5*x)*ln(10*x+2)*ln(ln(10*x+2))+(-5*x-1)*exp(x+6)^2*ln(10*x+2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \ln \left(-{\mathrm e}^{2 x +12}+\ln \left(\ln \left(10 x +2\right)\right)\right)$&$20$\\ \hline \end{longtable}"," ",0,"4*ln(-exp(2*x+12)+ln(ln(10*x+2)))","A"
6557,1,14,19,0.056000," ","int((x^3*exp(5)-28*x-112)/x^3/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{{\mathrm e}^{-5} \left(28 x +56\right)}{x^{2}}$&$14$\\ gosper&$\frac{\left(x^{3} {\mathrm e}^{5}+56+28 x \right) {\mathrm e}^{-5}}{x^{2}}$&$20$\\ default&${\mathrm e}^{-5} \left(x \,{\mathrm e}^{5}+\frac{28}{x}+\frac{56}{x^{2}}\right)$&$21$\\ norman&$\frac{x^{3}+56 \,{\mathrm e}^{-5}+28 x \,{\mathrm e}^{-5}}{x^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"x+exp(-5)*(28*x+56)/x^2","A"
6558,1,1811,31,0.854000," ","int((50*exp(5)*exp(x)^2+((100*x^2-300*x)*exp(5)-50*x^3+300*x^2-300*x)*exp(x)+(50*x^4-300*x^3+450*x^2)*exp(5)+50*x^4-300*x^3+450*x^2)*ln((2*x*exp(5)*exp(x)+(2*x^3-6*x^2)*exp(5)+2*x^3-6*x^2)/(exp(x)+x^2-3*x))/(x*exp(5)*exp(x)^2+((2*x^3-6*x^2)*exp(5)+x^3-3*x^2)*exp(x)+(x^5-6*x^4+9*x^3)*exp(5)+x^5-6*x^4+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 \ln \left(x \right)^{2}+50 \ln \left(2\right) \ln \left(x \right)-25 i \pi  \ln \left({\mathrm e}^{x}+x \left(x \,{\mathrm e}^{5}-3 \,{\mathrm e}^{5}+x -3\right) {\mathrm e}^{-5}\right) \mathrm{csgn}\left(\frac{i x \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{3}-25 i \pi  \ln \left({\mathrm e}^{x}+x \left(x \,{\mathrm e}^{5}-3 \,{\mathrm e}^{5}+x -3\right) {\mathrm e}^{-5}\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{3}-25 i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{3}-25 i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i x \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{3}+25 i \pi  \ln \left({\mathrm e}^{x}+x^{2}-3 x \right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{3}+25 i \pi  \ln \left({\mathrm e}^{x}+x^{2}-3 x \right) \mathrm{csgn}\left(\frac{i x \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{3}-50 \ln \left(x \right) \ln \left({\mathrm e}^{x}+x^{2}-3 x \right)+\left(50 \ln \left(x \right)-50 \ln \left({\mathrm e}^{x}+x^{2}-3 x \right)\right) \ln \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)-50 \ln \left(2\right) \ln \left({\mathrm e}^{x}+x^{2}-3 x \right)+25 \ln \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)^{2}+25 \ln \left({\mathrm e}^{x}+x^{2}-3 x \right)^{2}+50 \ln \left(2\right) \ln \left({\mathrm e}^{x}+x \left(x \,{\mathrm e}^{5}-3 \,{\mathrm e}^{5}+x -3\right) {\mathrm e}^{-5}\right)+25 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{2}+25 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{2}-25 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right) \mathrm{csgn}\left(\frac{i x \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)-25 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+x^{2}-3 x}\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)+25 i \pi  \ln \left({\mathrm e}^{x}+x^{2}-3 x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right) \mathrm{csgn}\left(\frac{i x \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)+25 i \pi  \ln \left({\mathrm e}^{x}+x^{2}-3 x \right) \mathrm{csgn}\left(i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+x^{2}-3 x}\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)+25 i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+x^{2}-3 x}\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{2}+25 i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right) \mathrm{csgn}\left(\frac{i x \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{2}+25 i \pi  \ln \left({\mathrm e}^{x}+x \left(x \,{\mathrm e}^{5}-3 \,{\mathrm e}^{5}+x -3\right) {\mathrm e}^{-5}\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right) \mathrm{csgn}\left(\frac{i x \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{2}-25 i \pi  \ln \left({\mathrm e}^{x}+x^{2}-3 x \right) \mathrm{csgn}\left(i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{2}-25 i \pi  \ln \left({\mathrm e}^{x}+x^{2}-3 x \right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+x^{2}-3 x}\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{2}+25 i \pi  \ln \left({\mathrm e}^{x}+x \left(x \,{\mathrm e}^{5}-3 \,{\mathrm e}^{5}+x -3\right) {\mathrm e}^{-5}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{2}+25 i \pi  \ln \left({\mathrm e}^{x}+x \left(x \,{\mathrm e}^{5}-3 \,{\mathrm e}^{5}+x -3\right) {\mathrm e}^{-5}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+x^{2}-3 x}\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{2}-25 i \pi  \ln \left({\mathrm e}^{x}+x^{2}-3 x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{2}+25 i \pi  \ln \left({\mathrm e}^{x}+x \left(x \,{\mathrm e}^{5}-3 \,{\mathrm e}^{5}+x -3\right) {\mathrm e}^{-5}\right) \mathrm{csgn}\left(i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{2}-25 i \pi  \ln \left({\mathrm e}^{x}+x \left(x \,{\mathrm e}^{5}-3 \,{\mathrm e}^{5}+x -3\right) {\mathrm e}^{-5}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right) \mathrm{csgn}\left(\frac{i x \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)-25 i \pi  \ln \left({\mathrm e}^{x}+x \left(x \,{\mathrm e}^{5}-3 \,{\mathrm e}^{5}+x -3\right) {\mathrm e}^{-5}\right) \mathrm{csgn}\left(i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+x^{2}-3 x}\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)-25 i \pi  \ln \left({\mathrm e}^{x}+x^{2}-3 x \right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right) \mathrm{csgn}\left(\frac{i x \left(\left({\mathrm e}^{x}+x^{2}-3 x \right) {\mathrm e}^{5}+x^{2}-3 x \right)}{{\mathrm e}^{x}+x^{2}-3 x}\right)^{2}$&$1811$\\ \hline \end{longtable}"," ",0,"25*ln(x)^2+50*ln(2)*ln(x)-25*I*Pi*ln(exp(x)+x*(x*exp(5)-3*exp(5)+x-3)*exp(-5))*csgn(I*x/(exp(x)+x^2-3*x)*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))^3-25*I*Pi*ln(exp(x)+x*(x*exp(5)-3*exp(5)+x-3)*exp(-5))*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))^3-25*I*Pi*ln(x)*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))^3-25*I*Pi*ln(x)*csgn(I*x/(exp(x)+x^2-3*x)*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))^3+25*I*Pi*ln(exp(x)+x^2-3*x)*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))^3+25*I*Pi*ln(exp(x)+x^2-3*x)*csgn(I*x/(exp(x)+x^2-3*x)*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))^3+25*I*Pi*ln(x)*csgn(I*x)*csgn(I*x/(exp(x)+x^2-3*x)*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))^2+25*I*Pi*ln(x)*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))^2+25*I*Pi*ln(x)*csgn(I/(exp(x)+x^2-3*x))*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))^2+25*I*Pi*ln(x)*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))*csgn(I*x/(exp(x)+x^2-3*x)*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))^2-50*ln(x)*ln(exp(x)+x^2-3*x)+(50*ln(x)-50*ln(exp(x)+x^2-3*x))*ln((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)-50*ln(2)*ln(exp(x)+x^2-3*x)-25*I*Pi*ln(exp(x)+x*(x*exp(5)-3*exp(5)+x-3)*exp(-5))*csgn(I*x)*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))*csgn(I*x/(exp(x)+x^2-3*x)*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))-25*I*Pi*ln(exp(x)+x*(x*exp(5)-3*exp(5)+x-3)*exp(-5))*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))*csgn(I/(exp(x)+x^2-3*x))*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))+25*ln((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)^2+25*ln(exp(x)+x^2-3*x)^2+50*ln(2)*ln(exp(x)+x*(x*exp(5)-3*exp(5)+x-3)*exp(-5))-25*I*Pi*ln(x)*csgn(I*x)*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))*csgn(I*x/(exp(x)+x^2-3*x)*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))-25*I*Pi*ln(x)*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))*csgn(I/(exp(x)+x^2-3*x))*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))+25*I*Pi*ln(exp(x)+x^2-3*x)*csgn(I*x)*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))*csgn(I*x/(exp(x)+x^2-3*x)*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))+25*I*Pi*ln(exp(x)+x^2-3*x)*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))*csgn(I/(exp(x)+x^2-3*x))*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))+25*I*Pi*ln(exp(x)+x*(x*exp(5)-3*exp(5)+x-3)*exp(-5))*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))*csgn(I*x/(exp(x)+x^2-3*x)*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))^2-25*I*Pi*ln(exp(x)+x^2-3*x)*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))^2-25*I*Pi*ln(exp(x)+x^2-3*x)*csgn(I/(exp(x)+x^2-3*x))*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))^2-25*I*Pi*ln(exp(x)+x^2-3*x)*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))*csgn(I*x/(exp(x)+x^2-3*x)*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))^2+25*I*Pi*ln(exp(x)+x*(x*exp(5)-3*exp(5)+x-3)*exp(-5))*csgn(I*x)*csgn(I*x/(exp(x)+x^2-3*x)*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))^2+25*I*Pi*ln(exp(x)+x*(x*exp(5)-3*exp(5)+x-3)*exp(-5))*csgn(I/(exp(x)+x^2-3*x))*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))^2-25*I*Pi*ln(exp(x)+x^2-3*x)*csgn(I*x)*csgn(I*x/(exp(x)+x^2-3*x)*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))^2+25*I*Pi*ln(exp(x)+x*(x*exp(5)-3*exp(5)+x-3)*exp(-5))*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x))*csgn(I*((exp(x)+x^2-3*x)*exp(5)+x^2-3*x)/(exp(x)+x^2-3*x))^2","C"
6559,1,57,36,0.237000," ","int(((-4096*x^7+4096*x^3)*exp(16*x^2)^2+(1024*x^18+224*x^16-4096*x^14-640*x^12+30720*x^10+2880*x^8-53248*x^6-1664*x^4+173056*x^2-5408)*exp(16*x^2)-64*x^27+2*x^25+384*x^23-12*x^21-3264*x^19+102*x^17+10496*x^15-328*x^13-42432*x^11+1326*x^9+64896*x^7-2028*x^5-140608*x^3+4394*x)/(x^24-6*x^20+51*x^16-164*x^12+663*x^8-1014*x^4+2197)/exp(16*x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{256}{x^{16}-4 x^{12}+30 x^{8}-52 x^{4}+169}-\frac{32 x \,{\mathrm e}^{-16 x^{2}}}{x^{8}-2 x^{4}+13}+x^{2} {\mathrm e}^{-32 x^{2}}$&$57$\\ \hline \end{longtable}"," ",0,"256/(x^16-4*x^12+30*x^8-52*x^4+169)-32*x/(x^8-2*x^4+13)*exp(-16*x^2)+x^2*exp(-32*x^2)","A"
6560,1,196,27,0.181000," ","int((((x^3-20*x^2+123*x-216)*exp(x)-x^3+20*x^2-123*x+216)*ln((-x^2+12*x-27)/(-8+x))+(-x^2+16*x-69)*exp(x)+x^3-16*x^2+69*x)/((x^3-20*x^2+123*x-216)*exp(x)^2+(-2*x^4+40*x^3-246*x^2+432*x)*exp(x)+x^5-20*x^4+123*x^3-216*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x^{2}-12 x +27\right)}{x -{\mathrm e}^{x}}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{-8+x}\right) \mathrm{csgn}\left(i \left(x^{2}-12 x +27\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-12 x +27\right)}{-8+x}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{-8+x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-12 x +27\right)}{-8+x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(x^{2}-12 x +27\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-12 x +27\right)}{-8+x}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}-12 x +27\right)}{-8+x}\right)^{3}+2 i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}-12 x +27\right)}{-8+x}\right)^{2}-2 i \pi +2 \ln \left(-8+x \right)}{2 \left(x -{\mathrm e}^{x}\right)}$&$196$\\ \hline \end{longtable}"," ",0,"1/(x-exp(x))*ln(x^2-12*x+27)-1/2*(I*Pi*csgn(I/(-8+x))*csgn(I*(x^2-12*x+27))*csgn(I/(-8+x)*(x^2-12*x+27))-I*Pi*csgn(I/(-8+x))*csgn(I/(-8+x)*(x^2-12*x+27))^2-I*Pi*csgn(I*(x^2-12*x+27))*csgn(I/(-8+x)*(x^2-12*x+27))^2-I*Pi*csgn(I/(-8+x)*(x^2-12*x+27))^3+2*I*Pi*csgn(I/(-8+x)*(x^2-12*x+27))^2-2*I*Pi+2*ln(-8+x))/(x-exp(x))","C"
6561,1,7,18,0.399000," ","int(2*x/(x^2+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(x^{2}+3\right)$&$7$\\ default&$\ln \left(x^{2}+3\right)$&$7$\\ norman&$\ln \left(x^{2}+3\right)$&$7$\\ risch&$\ln \left(x^{2}+3\right)$&$7$\\ meijerg&$\ln \left(1+\frac{x^{2}}{3}\right)$&$9$\\ \hline \end{longtable}"," ",0,"ln(x^2+3)","A"
6562,1,30,18,0.059000," ","int(1/4*((-x^3-6*x^2-6*x)*exp(x)+4*x^3+9*x^2)/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-3 \,{\mathrm e}^{x} x^{2}-{\mathrm e}^{x} x^{3}+3 x^{3}+x^{4}}{4 \ln \left(3\right)}$&$30$\\ risch&$\frac{x^{4}}{4 \ln \left(3\right)}+\frac{3 x^{3}}{4 \ln \left(3\right)}+\frac{\left(-x^{3}-3 x^{2}\right) {\mathrm e}^{x}}{4 \ln \left(3\right)}$&$39$\\ norman&$\frac{3 x^{3}}{4 \ln \left(3\right)}+\frac{x^{4}}{4 \ln \left(3\right)}-\frac{3 x^{2} {\mathrm e}^{x}}{4 \ln \left(3\right)}-\frac{x^{3} {\mathrm e}^{x}}{4 \ln \left(3\right)}$&$42$\\ \hline \end{longtable}"," ",0,"1/4/ln(3)*(-3*exp(x)*x^2-exp(x)*x^3+3*x^3+x^4)","A"
6563,1,820,22,0.705000," ","int(((x^4-2*x^3+3*x^2-6*x)*exp(1/3*x^2)*ln(1/5*(x-2)/x)^2+6*x*exp(1/3*x^2)*ln(1/5*(x-2)/x))/(6*x-12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{x^{2}}{3}} \ln \left(5\right)^{2} x^{2}}{4}+\frac{{\mathrm e}^{\frac{x^{2}}{3}} x^{2} \ln \left(x \right)^{2}}{4}+\frac{{\mathrm e}^{\frac{x^{2}}{3}} x^{2} \ln \left(x -2\right)^{2}}{4}+\frac{i {\mathrm e}^{\frac{x^{2}}{3}} \pi  \,x^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right) \ln \left(x \right)}{4}-\frac{i {\mathrm e}^{\frac{x^{2}}{3}} \pi  \ln \left(5\right) x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{2}}{4}+\frac{{\mathrm e}^{\frac{x^{2}}{3}} \ln \left(5\right) x^{2} \ln \left(x \right)}{2}+\left(-\frac{x^{2} {\mathrm e}^{\frac{x^{2}}{3}} \ln \left(x \right)}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right) {\mathrm e}^{\frac{x^{2}}{3}}}{4}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{2} {\mathrm e}^{\frac{x^{2}}{3}}}{4}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{2} {\mathrm e}^{\frac{x^{2}}{3}}}{4}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{3} {\mathrm e}^{\frac{x^{2}}{3}}}{4}-\frac{\ln \left(5\right) x^{2} {\mathrm e}^{\frac{x^{2}}{3}}}{2}\right) \ln \left(x -2\right)-\frac{{\mathrm e}^{\frac{x^{2}}{3}} \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{6}}{16}-\frac{{\mathrm e}^{\frac{x^{2}}{3}} \pi^{2} x^{2} \mathrm{csgn}\left(i \left(x -2\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{4}}{16}+\frac{{\mathrm e}^{\frac{x^{2}}{3}} \pi^{2} x^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{5}}{8}-\frac{{\mathrm e}^{\frac{x^{2}}{3}} \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{4}}{16}+\frac{{\mathrm e}^{\frac{x^{2}}{3}} \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{5}}{8}-\frac{{\mathrm e}^{\frac{x^{2}}{3}} \pi^{2} x^{2} \mathrm{csgn}\left(i \left(x -2\right)\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{2}}{16}+\frac{{\mathrm e}^{\frac{x^{2}}{3}} \pi^{2} x^{2} \mathrm{csgn}\left(i \left(x -2\right)\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{3}}{8}+\frac{{\mathrm e}^{\frac{x^{2}}{3}} \pi^{2} x^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{3}}{8}-\frac{{\mathrm e}^{\frac{x^{2}}{3}} \pi^{2} x^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{4}}{4}+\frac{i {\mathrm e}^{\frac{x^{2}}{3}} \pi  \ln \left(5\right) x^{2} \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{3}}{4}-\frac{i {\mathrm e}^{\frac{x^{2}}{3}} \pi  \ln \left(5\right) x^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{2}}{4}-\frac{i {\mathrm e}^{\frac{x^{2}}{3}} \pi  \,x^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{2} \ln \left(x \right)}{4}+\frac{i {\mathrm e}^{\frac{x^{2}}{3}} \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{3} \ln \left(x \right)}{4}+\frac{i {\mathrm e}^{\frac{x^{2}}{3}} \pi  \ln \left(5\right) x^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)}{4}-\frac{i {\mathrm e}^{\frac{x^{2}}{3}} \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -2\right)}{x}\right)^{2} \ln \left(x \right)}{4}$&$820$\\ \hline \end{longtable}"," ",0,"1/4*exp(1/3*x^2)*ln(5)^2*x^2+1/4*exp(1/3*x^2)*x^2*ln(x)^2+1/4*exp(1/3*x^2)*x^2*ln(x-2)^2+1/4*I*exp(1/3*x^2)*Pi*x^2*csgn(I*(x-2))*csgn(I/x)*csgn(I/x*(x-2))*ln(x)-1/4*I*exp(1/3*x^2)*Pi*ln(5)*x^2*csgn(I/x)*csgn(I/x*(x-2))^2+1/2*exp(1/3*x^2)*ln(5)*x^2*ln(x)+(-1/2*x^2*exp(1/3*x^2)*ln(x)-1/4*I*Pi*x^2*csgn(I*(x-2))*csgn(I/x)*csgn(I/x*(x-2))*exp(1/3*x^2)+1/4*I*Pi*x^2*csgn(I*(x-2))*csgn(I/x*(x-2))^2*exp(1/3*x^2)+1/4*I*Pi*x^2*csgn(I/x)*csgn(I/x*(x-2))^2*exp(1/3*x^2)-1/4*I*Pi*x^2*csgn(I/x*(x-2))^3*exp(1/3*x^2)-1/2*ln(5)*x^2*exp(1/3*x^2))*ln(x-2)-1/16*exp(1/3*x^2)*Pi^2*x^2*csgn(I/x*(x-2))^6-1/16*exp(1/3*x^2)*Pi^2*x^2*csgn(I*(x-2))^2*csgn(I/x*(x-2))^4+1/8*exp(1/3*x^2)*Pi^2*x^2*csgn(I*(x-2))*csgn(I/x*(x-2))^5-1/16*exp(1/3*x^2)*Pi^2*x^2*csgn(I/x)^2*csgn(I/x*(x-2))^4+1/8*exp(1/3*x^2)*Pi^2*x^2*csgn(I/x)*csgn(I/x*(x-2))^5-1/16*exp(1/3*x^2)*Pi^2*x^2*csgn(I*(x-2))^2*csgn(I/x)^2*csgn(I/x*(x-2))^2+1/8*exp(1/3*x^2)*Pi^2*x^2*csgn(I*(x-2))^2*csgn(I/x)*csgn(I/x*(x-2))^3+1/8*exp(1/3*x^2)*Pi^2*x^2*csgn(I*(x-2))*csgn(I/x)^2*csgn(I/x*(x-2))^3-1/4*exp(1/3*x^2)*Pi^2*x^2*csgn(I*(x-2))*csgn(I/x)*csgn(I/x*(x-2))^4+1/4*I*exp(1/3*x^2)*Pi*ln(5)*x^2*csgn(I/x*(x-2))^3-1/4*I*exp(1/3*x^2)*Pi*ln(5)*x^2*csgn(I*(x-2))*csgn(I/x*(x-2))^2-1/4*I*exp(1/3*x^2)*Pi*x^2*csgn(I*(x-2))*csgn(I/x*(x-2))^2*ln(x)+1/4*I*exp(1/3*x^2)*Pi*x^2*csgn(I/x*(x-2))^3*ln(x)+1/4*I*exp(1/3*x^2)*Pi*ln(5)*x^2*csgn(I*(x-2))*csgn(I/x)*csgn(I/x*(x-2))-1/4*I*exp(1/3*x^2)*Pi*x^2*csgn(I/x)*csgn(I/x*(x-2))^2*ln(x)","C"
6564,1,34,25,0.057000," ","int(1/3*(-5*ln(10)*ln(x)^2+(-6*x+10)*ln(10)*ln(x)+(-9*x+9)*ln(10))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-3 \ln \left(10\right) x \ln \left(x \right)+\frac{5 \ln \left(10\right) \ln \left(x \right)^{2}}{3}-\ln \left(10\right) x \ln \left(x \right)^{2}-3 \ln \left(10\right)}{x}$&$34$\\ risch&$-\frac{\left(3 x \ln \left(5\right)+3 x \ln \left(2\right)-5 \ln \left(5\right)-5 \ln \left(2\right)\right) \ln \left(x \right)^{2}}{3 x}-\frac{3 \left(x \ln \left(5\right) \ln \left(x \right)+x \ln \left(2\right) \ln \left(x \right)+\ln \left(5\right)+\ln \left(2\right)\right)}{x}$&$52$\\ default&$-\frac{5 \ln \left(10\right) \left(-\frac{\ln \left(x \right)^{2}}{x}-\frac{2 \ln \left(x \right)}{x}-\frac{2}{x}\right)}{3}-\ln \left(10\right) \ln \left(x \right)^{2}+\frac{10 \ln \left(10\right) \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)}{3}-3 \ln \left(10\right) \ln \left(x \right)-\frac{3 \ln \left(10\right)}{x}$&$66$\\ \hline \end{longtable}"," ",0,"(-3*ln(10)*x*ln(x)+5/3*ln(10)*ln(x)^2-ln(10)*x*ln(x)^2-3*ln(10))/x","A"
6565,1,17,21,0.018000," ","int(1/375*((-2*x+50)*exp(x)+25*x-25)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{2}}{375}+\frac{2 x}{15}-\frac{x \,{\mathrm e}^{-x}}{15}$&$17$\\ risch&$-\frac{x^{2}}{375}+\frac{2 x}{15}-\frac{x \,{\mathrm e}^{-x}}{15}$&$17$\\ norman&$\left(-\frac{x}{15}+\frac{2 \,{\mathrm e}^{x} x}{15}-\frac{{\mathrm e}^{x} x^{2}}{375}\right) {\mathrm e}^{-x}$&$22$\\ \hline \end{longtable}"," ",0,"-1/375*x^2+2/15*x-1/15*x/exp(x)","A"
6566,1,11,12,0.063000," ","int(1/48*(-x-12)*exp(1/16/x^4/exp(1/3*x))/x^5/exp(1/3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{-\frac{x}{3}}}{16 x^{4}}}$&$11$\\ norman&${\mathrm e}^{\frac{{\mathrm e}^{-\frac{x}{3}}}{16 x^{4}}}$&$13$\\ \hline \end{longtable}"," ",0,"exp(1/16/x^4*exp(-1/3*x))","A"
6567,1,54,22,0.194000," ","int(1/3*((30*exp(x)*x+6)*exp(5*exp(x))*exp(x*exp(5*exp(x)))^2+(((10*exp(x)*x+2)*exp(3*x)+10*x*exp(1)*exp(x)+2*exp(1))*exp(5*exp(x))+6*exp(3*x))*exp(x*exp(5*exp(x)))+2*exp(3*x)^2+2*exp(1)*exp(3*x))*exp(exp(x*exp(5*exp(x)))^2+1/9*(6*exp(3*x)+6*exp(1))*exp(x*exp(5*exp(x)))+1/9*exp(3*x)^2+2/9*exp(1)*exp(3*x)+1/9*exp(1)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{2 x \,{\mathrm e}^{5 \,{\mathrm e}^{x}}}+\frac{2 \,{\mathrm e}^{x \,{\mathrm e}^{5 \,{\mathrm e}^{x}}+1}}{3}+\frac{2 \,{\mathrm e}^{x \left({\mathrm e}^{5 \,{\mathrm e}^{x}}+3\right)}}{3}+\frac{{\mathrm e}^{6 x}}{9}+\frac{2 \,{\mathrm e}^{3 x +1}}{9}+\frac{{\mathrm e}^{2}}{9}}$&$54$\\ \hline \end{longtable}"," ",0,"exp(exp(2*x*exp(5*exp(x)))+2/3*exp(x*exp(5*exp(x))+1)+2/3*exp(x*(exp(5*exp(x))+3))+1/9*exp(6*x)+2/9*exp(3*x+1)+1/9*exp(2))","B"
6568,1,22,17,0.062000," ","int(((9624*x-15968)*exp(2)+1996*x^3)/(160801*x^5-800396*x^4+996004*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{1996 x^{2}}{401}-8 \,{\mathrm e}^{2}}{x^{2} \left(401 x -998\right)}$&$22$\\ gosper&$-\frac{4 \left(499 x^{2}+802 \,{\mathrm e}^{2}\right)}{401 x^{2} \left(401 x -998\right)}$&$23$\\ risch&$\frac{-\frac{1996 x^{2}}{401}-8 \,{\mathrm e}^{2}}{x^{2} \left(401 x -998\right)}$&$23$\\ default&$-\frac{4 \left(\frac{499}{401}+\frac{160801 \,{\mathrm e}^{2}}{498002}\right)}{401 x -998}+\frac{4 \,{\mathrm e}^{2}}{499 x^{2}}+\frac{802 \,{\mathrm e}^{2}}{249001 x}$&$31$\\ \hline \end{longtable}"," ",0,"(-1996/401*x^2-8*exp(2))/x^2/(401*x-998)","A"
6569,1,40,26,0.114000," ","int(((x^4-3*x^3+3*x^2-x)*ln(1/2*x)+(-x^3+3*x^2+33*x+1)*ln(2)^2+x^4-2*x^3-18*x^2-52*x-1)*exp((((-x^2+2*x-1)*ln(2)^2+x^3-x^2-x+1)*ln(1/2*x)-18*ln(2)^2+18*x+18)/(x^2-2*x+1))*exp(exp((((-x^2+2*x-1)*ln(2)^2+x^3-x^2-x+1)*ln(1/2*x)-18*ln(2)^2+18*x+18)/(x^2-2*x+1)))/(x^4-3*x^3+3*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{-\frac{\left(\ln \left(2\right)^{2}-x -1\right) \left(x^{2} \ln \left(\frac{x}{2}\right)-2 x \ln \left(\frac{x}{2}\right)+\ln \left(\frac{x}{2}\right)+18\right)}{\left(x -1\right)^{2}}}}$&$40$\\ \hline \end{longtable}"," ",0,"exp(exp(-(ln(2)^2-x-1)*(x^2*ln(1/2*x)-2*x*ln(1/2*x)+ln(1/2*x)+18)/(x-1)^2))","A"
6570,1,13,12,0.053000," ","int((-7*exp(x)^2+(-14*x-2)*exp(x)-7*x^2-2)/(exp(x)^2+2*exp(x)*x+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-7 x +\frac{2}{{\mathrm e}^{x}+x}$&$13$\\ norman&$\frac{2-7 x^{2}-7 \,{\mathrm e}^{x} x}{{\mathrm e}^{x}+x}$&$20$\\ \hline \end{longtable}"," ",0,"-7*x+2/(exp(x)+x)","A"
6571,1,5,9,0.031000," ","int(-3/exp(ln(3)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-x}$&$5$\\ gosper&${\mathrm e}^{-x}$&$10$\\ derivativedivides&${\mathrm e}^{-x}$&$10$\\ default&${\mathrm e}^{-x}$&$10$\\ norman&${\mathrm e}^{-x}$&$10$\\ \hline \end{longtable}"," ",0,"exp(-x)","A"
6572,1,16,17,0.909000," ","int(((3-8*x)*exp(4/3*x)+3*exp(4)+3*x)/(exp(4/3*x)^3+(3*exp(4)-3*x)*exp(4/3*x)^2+(3*exp(4)^2-6*x*exp(4)+3*x^2)*exp(4/3*x)+exp(4)^3-3*x*exp(4)^2+3*x^2*exp(4)-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 x}{\left({\mathrm e}^{\frac{4 x}{3}}-x +{\mathrm e}^{4}\right)^{2}}$&$16$\\ risch&$\frac{3 x}{\left({\mathrm e}^{\frac{4 x}{3}}-x +{\mathrm e}^{4}\right)^{2}}$&$16$\\ \hline \end{longtable}"," ",0,"3*x/(exp(4/3*x)-x+exp(4))^2","A"
6573,1,17,11,0.034000," ","int((48*x^2+6*x)*exp(x)^16/(3*x^2*exp(x)^16-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right)+\ln \left({\mathrm e}^{16 x}-\frac{2}{3 x^{2}}\right)$&$17$\\ \hline \end{longtable}"," ",0,"2*ln(x)+ln(exp(16*x)-2/3/x^2)","A"
6574,1,36,26,0.084000," ","int((((8*x^8+72*x^6+216*x^4+216*x^2+x)*ln(5)^2+(-16*x^9-144*x^7-432*x^5-432*x^3-2*x^2-x)*ln(5)+8*x^10+72*x^8+216*x^6+216*x^4+x^3)*ln(x)^2-ln(5)^2+2*x*ln(5)-x^2)/(x*ln(5)^2-2*x^2*ln(5)+x^3)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{8}+12 x^{6}+54 x^{4}+108 x^{2}+x +\frac{\ln \left(5\right)}{-\ln \left(5\right)+x}+\frac{1}{\ln \left(x \right)}$&$36$\\ risch&$\frac{x^{8} \ln \left(5\right)-x^{9}+12 x^{6} \ln \left(5\right)-12 x^{7}+54 x^{4} \ln \left(5\right)-54 x^{5}+108 x^{2} \ln \left(5\right)-108 x^{3}+x \ln \left(5\right)-x^{2}-\ln \left(5\right)}{\ln \left(5\right)-x}+\frac{1}{\ln \left(x \right)}$&$76$\\ \hline \end{longtable}"," ",0,"x^8+12*x^6+54*x^4+108*x^2+x+ln(5)/(-ln(5)+x)+1/ln(x)","A"
6575,1,22,24,0.061000," ","int(((-3*x^2+24*x)*exp(x)+(-15*x-45)*exp(4))/exp(x)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x -12}{x^{2}}+\frac{15 \,{\mathrm e}^{-x +4}}{x^{3}}$&$22$\\ norman&$\frac{\left(-12 \,{\mathrm e}^{x} x +3 \,{\mathrm e}^{x} x^{2}+15 \,{\mathrm e}^{4}\right) {\mathrm e}^{-x}}{x^{3}}$&$26$\\ default&$-\frac{12}{x^{2}}+\frac{3}{x}-45 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{-x}}{3 x^{3}}+\frac{{\mathrm e}^{-x}}{6 x^{2}}-\frac{{\mathrm e}^{-x}}{6 x}+\frac{\expIntegralEi \left(1, x\right)}{6}\right)-15 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{-x}}{2 x^{2}}+\frac{{\mathrm e}^{-x}}{2 x}-\frac{\expIntegralEi \left(1, x\right)}{2}\right)$&$77$\\ \hline \end{longtable}"," ",0,"(3*x-12)/x^2+15/x^3*exp(-x+4)","A"
6576,1,13,10,0.164000," ","int((2*exp(x)^2+8*exp(x))*exp(exp(x)^2+8*exp(x)+16)*exp(exp(exp(x)^2+8*exp(x)+16)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{2 x}+8 \,{\mathrm e}^{x}+16}}$&$13$\\ norman&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{2 x}+8 \,{\mathrm e}^{x}+16}}$&$13$\\ risch&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{2 x}+8 \,{\mathrm e}^{x}+16}}$&$13$\\ \hline \end{longtable}"," ",0,"exp(exp(exp(x)^2+8*exp(x)+16))","A"
6577,1,22,20,0.052000," ","int((((5*x^4+10*x^3+16*x^2+32*x)*exp(x)+5*x^3+20*x^2-16*x)*ln(x)-5*x^3-10*x^2-16*x-32)*exp(exp(x))/(4*x^3+16*x^2+16*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(5 x^{2}+16\right) {\mathrm e}^{{\mathrm e}^{x}}}{4 \left(2+x \right) \ln \left(x \right)}$&$22$\\ \hline \end{longtable}"," ",0,"1/4*(5*x^2+16)/(2+x)/ln(x)*exp(exp(x))","A"
6578,1,21,20,0.182000," ","int(((2*x^2*ln(5)-30*x)*ln(-x*ln(5)+15)-9*x^2*ln(5)+120*x)/((x*ln(3)*ln(5)-15*ln(3))*ln(-x*ln(5)+15)^2+(-8*x*ln(3)*ln(5)+120*ln(3))*ln(-x*ln(5)+15)+16*x*ln(3)*ln(5)-240*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}}{\left(\ln \left(-x \ln \left(5\right)+15\right)-4\right) \ln \left(3\right)}$&$21$\\ risch&$\frac{x^{2}}{\left(\ln \left(-x \ln \left(5\right)+15\right)-4\right) \ln \left(3\right)}$&$21$\\ \hline \end{longtable}"," ",0,"x^2/(ln(-x*ln(5)+15)-4)/ln(3)","A"
6579,1,15,11,0.154000," ","int((-5*x^2-9)*exp((-5*x^2+4*x+9)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{\left(x +1\right) \left(5 x -9\right)}{x}}$&$15$\\ norman&${\mathrm e}^{\frac{-5 x^{2}+4 x +9}{x}}$&$16$\\ gosper&${\mathrm e}^{-\frac{5 x^{2}-4 x -9}{x}}$&$17$\\ \hline \end{longtable}"," ",0,"exp(-(x+1)*(5*x-9)/x)","A"
6580,1,34,26,0.089000," ","int(((2*x^2*exp(1)+2*x^3+x)*exp(x)*exp(x^2)+(2*x^2*exp(1)+3*x^3+x-1)*exp(x))*exp((x+exp(1))*exp(x^2)+x^2*exp(1)+x^3)/x^2/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x^{2} {\mathrm e}+x^{3}+{\mathrm e} \,{\mathrm e}^{x^{2}}+{\mathrm e}^{x^{2}} x +x}}{x \ln \left(3\right)}$&$34$\\ \hline \end{longtable}"," ",0,"1/x/ln(3)*exp(x^2*exp(1)+x^3+exp(1)*exp(x^2)+exp(x^2)*x+x)","A"
6581,0,0,28,180.000000," ","int(((x^2-10*x)*ln(x)*ln(x^2*ln(x))^4+((8*x^2-40*x)*ln(x)+4*x^2-20*x)*ln(x^2*ln(x))^3+(-2*x^2+20*x)*ln(x)*ln(x^2*ln(x))^2+((-8*x^2+40*x)*ln(x)-4*x^2+20*x)*ln(x^2*ln(x))+(x^2-10*x+10)*ln(x))/(x^4*ln(x)*ln(x^2*ln(x))^8-4*x^4*ln(x)*ln(x^2*ln(x))^6+(6*x^4-4*x^3)*ln(x)*ln(x^2*ln(x))^4+(-4*x^4+8*x^3)*ln(x)*ln(x^2*ln(x))^2+(x^4-4*x^3+4*x^2)*ln(x)),x)","\[\int \frac{\left(x^{2}-10 x \right) \ln \left(x \right) \ln \left(x^{2} \ln \left(x \right)\right)^{4}+\left(\left(8 x^{2}-40 x \right) \ln \left(x \right)+4 x^{2}-20 x \right) \ln \left(x^{2} \ln \left(x \right)\right)^{3}+\left(-2 x^{2}+20 x \right) \ln \left(x \right) \ln \left(x^{2} \ln \left(x \right)\right)^{2}+\left(\left(-8 x^{2}+40 x \right) \ln \left(x \right)-4 x^{2}+20 x \right) \ln \left(x^{2} \ln \left(x \right)\right)+\left(x^{2}-10 x +10\right) \ln \left(x \right)}{x^{4} \ln \left(x \right) \ln \left(x^{2} \ln \left(x \right)\right)^{8}-4 x^{4} \ln \left(x \right) \ln \left(x^{2} \ln \left(x \right)\right)^{6}+\left(6 x^{4}-4 x^{3}\right) \ln \left(x \right) \ln \left(x^{2} \ln \left(x \right)\right)^{4}+\left(-4 x^{4}+8 x^{3}\right) \ln \left(x \right) \ln \left(x^{2} \ln \left(x \right)\right)^{2}+\left(x^{4}-4 x^{3}+4 x^{2}\right) \ln \left(x \right)}\, dx\]"," ",0,"int(((x^2-10*x)*ln(x)*ln(x^2*ln(x))^4+((8*x^2-40*x)*ln(x)+4*x^2-20*x)*ln(x^2*ln(x))^3+(-2*x^2+20*x)*ln(x)*ln(x^2*ln(x))^2+((-8*x^2+40*x)*ln(x)-4*x^2+20*x)*ln(x^2*ln(x))+(x^2-10*x+10)*ln(x))/(x^4*ln(x)*ln(x^2*ln(x))^8-4*x^4*ln(x)*ln(x^2*ln(x))^6+(6*x^4-4*x^3)*ln(x)*ln(x^2*ln(x))^4+(-4*x^4+8*x^3)*ln(x)*ln(x^2*ln(x))^2+(x^4-4*x^3+4*x^2)*ln(x)),x)","F"
6582,1,69,36,0.433000," ","int(1/4*(3*x^2*exp(1)^2+1)*exp(x^3*exp(1)^2+x)^4+1/4*(9*x^3*exp(1)^2+3*x+1)*exp(x^3*exp(1)^2+x)^3+1/4*(9*x^4*exp(1)^2+3*x^2+3*x)*exp(x^3*exp(1)^2+x)^2+1/4*(3*x^5*exp(1)^2+x^3+3*x^2)*exp(x^3*exp(1)^2+x)+1/4*x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4}}{16}+\frac{{\mathrm e}^{4 x \left(x^{2} {\mathrm e}^{2}+1\right)}}{16}+\frac{x \,{\mathrm e}^{3 x \left(x^{2} {\mathrm e}^{2}+1\right)}}{4}+\frac{3 x^{2} {\mathrm e}^{2 x \left(x^{2} {\mathrm e}^{2}+1\right)}}{8}+\frac{{\mathrm e}^{x \left(x^{2} {\mathrm e}^{2}+1\right)} x^{3}}{4}$&$69$\\ default&$\frac{x^{4}}{16}+\frac{{\mathrm e}^{4 x^{3} {\mathrm e}^{2}+4 x}}{16}+\frac{x \,{\mathrm e}^{3 x^{3} {\mathrm e}^{2}+3 x}}{4}+\frac{3 x^{2} {\mathrm e}^{2 x^{3} {\mathrm e}^{2}+2 x}}{8}+\frac{{\mathrm e}^{x^{3} {\mathrm e}^{2}+x} x^{3}}{4}$&$72$\\ norman&$\frac{x^{4}}{16}+\frac{{\mathrm e}^{4 x^{3} {\mathrm e}^{2}+4 x}}{16}+\frac{x \,{\mathrm e}^{3 x^{3} {\mathrm e}^{2}+3 x}}{4}+\frac{3 x^{2} {\mathrm e}^{2 x^{3} {\mathrm e}^{2}+2 x}}{8}+\frac{{\mathrm e}^{x^{3} {\mathrm e}^{2}+x} x^{3}}{4}$&$72$\\ \hline \end{longtable}"," ",0,"1/16*x^4+1/16*exp(4*x*(x^2*exp(2)+1))+1/4*x*exp(3*x*(x^2*exp(2)+1))+3/8*x^2*exp(2*x*(x^2*exp(2)+1))+1/4*exp(x*(x^2*exp(2)+1))*x^3","A"
6583,1,38,22,0.061000," ","int((9*ln(x)^2+(30*exp(x)^4-600*exp(x)^3+4500*exp(x)^2-15000*exp(x)+30*x+18780)*ln(x)+25*exp(x)^8-1000*exp(x)^7+17500*exp(x)^6-175000*exp(x)^5+(-100*x^2+50*x+1093800)*exp(x)^4+(1500*x^2-1000*x-4376000)*exp(x)^3+(-7500*x^2+7500*x+10945000)*exp(x)^2+(12500*x^2-25000*x-15650000)*exp(x)+31285*x+9796900)/(9*ln(x)^2+(30*exp(x)^4-600*exp(x)^3+4500*exp(x)^2-15000*exp(x)+18780)*ln(x)+25*exp(x)^8-1000*exp(x)^7+17500*exp(x)^6-175000*exp(x)^5+1093800*exp(x)^4-4376000*exp(x)^3+10945000*exp(x)^2-15650000*exp(x)+9796900),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{5 x^{2}}{5 \,{\mathrm e}^{4 x}-100 \,{\mathrm e}^{3 x}+750 \,{\mathrm e}^{2 x}+3 \ln \left(x \right)-2500 \,{\mathrm e}^{x}+3130}$&$38$\\ \hline \end{longtable}"," ",0,"x+5*x^2/(5*exp(4*x)-100*exp(3*x)+750*exp(2*x)+3*ln(x)-2500*exp(x)+3130)","A"
6584,1,64,21,0.253000," ","int((((x^2-1)*exp(5*x)-x^2+1)*ln((-x*exp(5*x)+x)/exp(5*x))^2-x*exp(5*x)-5*x^2+x)/(x^2*exp(5*x)-x^2)/ln((-x*exp(5*x)+x)/exp(5*x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x +x^{2} \ln \left(\left(-x \,{\mathrm e}^{5 x}+x \right) {\mathrm e}^{-5 x}\right)+\ln \left(\left(-x \,{\mathrm e}^{5 x}+x \right) {\mathrm e}^{-5 x}\right)}{x \ln \left(\left(-x \,{\mathrm e}^{5 x}+x \right) {\mathrm e}^{-5 x}\right)}$&$64$\\ risch&$\frac{x^{2}+1}{x}+\frac{2 i}{\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-5 x} \left({\mathrm e}^{5 x}-1\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{5 x}-1\right) {\mathrm e}^{-5 x}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left({\mathrm e}^{5 x}-1\right) {\mathrm e}^{-5 x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{5 x}-1\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-5 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-5 x} \left({\mathrm e}^{5 x}-1\right)\right)-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{5 x}-1\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-5 x} \left({\mathrm e}^{5 x}-1\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-5 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-5 x} \left({\mathrm e}^{5 x}-1\right)\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{-5 x} \left({\mathrm e}^{5 x}-1\right)\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-5 x} \left({\mathrm e}^{5 x}-1\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{5 x}-1\right) {\mathrm e}^{-5 x}\right)^{2}-\pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{5 x}-1\right) {\mathrm e}^{-5 x}\right)^{3}+2 \pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{5 x}-1\right) {\mathrm e}^{-5 x}\right)^{2}-2 \pi -2 i \ln \left({\mathrm e}^{5 x}\right)+2 i \ln \left(x \right)+2 i \ln \left({\mathrm e}^{5 x}-1\right)}$&$286$\\ \hline \end{longtable}"," ",0,"(x+x^2*ln((-x*exp(5*x)+x)/exp(5*x))+ln((-x*exp(5*x)+x)/exp(5*x)))/x/ln((-x*exp(5*x)+x)/exp(5*x))","B"
6585,1,28,28,0.443000," ","int((((x+1)*exp(4)-x^2)*exp(x)^2+((-5*x-5)*exp(4)-5*x^3)*exp(x))/((x^4+2*x^3+x^2)*exp((-2*x*ln(2)+exp(4))/x)*exp(x)^2+(-10*x^4-20*x^3-10*x^2)*exp((-2*x*ln(2)+exp(4))/x)*exp(x)+(25*x^4+50*x^3+25*x^2)*exp((-2*x*ln(2)+exp(4))/x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-\frac{{\mathrm e}^{4}-x^{2}}{x}}}{\left(x +1\right) \left({\mathrm e}^{x}-5\right)}$&$28$\\ norman&$\frac{{\mathrm e}^{x} {\mathrm e}^{-\frac{-2 x \ln \left(2\right)+{\mathrm e}^{4}}{x}}}{\left({\mathrm e}^{x}-5\right) \left(x +1\right)}$&$30$\\ \hline \end{longtable}"," ",0,"4/(x+1)/(exp(x)-5)*exp(-(exp(4)-x^2)/x)","A"
6586,1,103,29,0.161000," ","int(-ln(x)^2+(8*ln(2/x)-2*exp(4)-4*x-10)*ln(x)-16*ln(2/x)^2+(8*exp(4)+16*x+40)*ln(2/x)-exp(4)^2+(-4*x-10)*exp(4)-3*x^2-8*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-9 x \ln \left(x \right)^{2}+2 x \ln \left(x \right)+\left(-2 x \,{\mathrm e}^{4}+8 x \ln \left(2\right)-2 x^{2}+6 x \right) \ln \left(x \right)-8 x \ln \left(2\right)+x^{2}-16 x \ln \left(\frac{2}{x}\right)^{2}-32 x \ln \left(\frac{2}{x}\right)+\left(8 x \,{\mathrm e}^{4}+8 x^{2}+40 x \right) \ln \left(\frac{2}{x}\right)-x \,{\mathrm e}^{8}-2 x^{2} {\mathrm e}^{4}-x^{3}+x$&$103$\\ default&$x +{\mathrm e}^{4} \left(-2 x^{2}-10 x \right)+8 \,{\mathrm e}^{4} x \ln \left(\frac{2}{x}\right)+10 x \,{\mathrm e}^{4}+8 x \ln \left(\frac{2}{x}\right)+8 x^{2} \ln \left(\frac{2}{x}\right)+x^{2}-2 x^{2} \ln \left(x \right)+8 x \ln \left(2\right) \ln \left(x \right)-8 x \ln \left(2\right)-2 x \,{\mathrm e}^{4} \ln \left(x \right)-8 x \ln \left(\frac{1}{x}\right)+8 \ln \left(x \right) \ln \left(\frac{1}{x}\right) x -x^{3}-x \,{\mathrm e}^{8}-x \ln \left(x \right)^{2}-16 x \ln \left(\frac{2}{x}\right)^{2}$&$126$\\ \hline \end{longtable}"," ",0,"-9*x*ln(x)^2+2*x*ln(x)+(-2*x*exp(4)+8*x*ln(2)-2*x^2+6*x)*ln(x)-8*x*ln(2)+x^2-16*x*ln(2/x)^2-32*x*ln(2/x)+(8*x*exp(4)+8*x^2+40*x)*ln(2/x)-x*exp(8)-2*x^2*exp(4)-x^3+x","B"
6587,1,41,35,0.059000," ","int(((-ln(x)^2+8*x*ln(x)-8*x)*exp(4*x/ln(x))^2+((2*x^2+6)*ln(x)^2+(8*x^3-24*x)*ln(x)-8*x^3+24*x)*exp(4*x/ln(x))+(3*x^4-6*x^2-4)*ln(x)^2)/(x*ln(x)^2*exp(4*x/ln(x))^2+(2*x^3-6*x)*ln(x)^2*exp(4*x/ln(x))+(x^5-6*x^3+4*x)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\ln \left({\mathrm e}^{\frac{8 x}{\ln \left(x \right)}}+\left(2 x^{2}-6\right) {\mathrm e}^{\frac{4 x}{\ln \left(x \right)}}+x^{4}-6 x^{2}+4\right)$&$41$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(exp(8*x/ln(x))+(2*x^2-6)*exp(4*x/ln(x))+x^4-6*x^2+4)","A"
6588,1,467,23,0.275000," ","int((((27*x^3+4*x)*ln(x)+(-27*x^2-4)*exp(4)+27*x^4-432*x^3+4*x^2-64*x)*ln((x*ln(x)-exp(4)+x^2-16*x)/x)+(9*x^2+4)*exp(4)+9*x^4+9*x^3+4*x^2+4*x)/(x*ln(x)-exp(4)+x^2-16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(9 x^{3}+4 x \right) \ln \left({\mathrm e}^{4}-x^{2}+\left(-\ln \left(x \right)+16\right) x \right)-9 x^{3} \ln \left(x \right)-4 x \ln \left(x \right)+\frac{9 i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}-x^{2}+\left(-\ln \left(x \right)+16\right) x \right)}{x}\right)^{3}}{2}+\frac{9 i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}-x^{2}+\left(-\ln \left(x \right)+16\right) x \right)}{x}\right)^{2}}{2}-9 i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}-x^{2}+\left(-\ln \left(x \right)+16\right) x \right)}{x}\right)^{2}-2 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{4}-x^{2}+\left(-\ln \left(x \right)+16\right) x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}-x^{2}+\left(-\ln \left(x \right)+16\right) x \right)}{x}\right)-4 i \pi  x \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}-x^{2}+\left(-\ln \left(x \right)+16\right) x \right)}{x}\right)^{2}-\frac{9 i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{4}-x^{2}+\left(-\ln \left(x \right)+16\right) x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}-x^{2}+\left(-\ln \left(x \right)+16\right) x \right)}{x}\right)}{2}+2 i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}-x^{2}+\left(-\ln \left(x \right)+16\right) x \right)}{x}\right)^{2}+4 i x \pi +9 i \pi  \,x^{3}+2 i \pi  x \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}-x^{2}+\left(-\ln \left(x \right)+16\right) x \right)}{x}\right)^{3}+\frac{9 i \pi  \,x^{3} \mathrm{csgn}\left(i \left({\mathrm e}^{4}-x^{2}+\left(-\ln \left(x \right)+16\right) x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}-x^{2}+\left(-\ln \left(x \right)+16\right) x \right)}{x}\right)^{2}}{2}+2 i \pi  x \,\mathrm{csgn}\left(i \left({\mathrm e}^{4}-x^{2}+\left(-\ln \left(x \right)+16\right) x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4}-x^{2}+\left(-\ln \left(x \right)+16\right) x \right)}{x}\right)^{2}$&$467$\\ \hline \end{longtable}"," ",0,"(9*x^3+4*x)*ln(exp(4)-x^2+(-ln(x)+16)*x)-9*x^3*ln(x)-4*x*ln(x)+9/2*I*Pi*x^3*csgn(I/x*(exp(4)-x^2+(-ln(x)+16)*x))^3+9/2*I*Pi*x^3*csgn(I/x)*csgn(I/x*(exp(4)-x^2+(-ln(x)+16)*x))^2-9*I*Pi*x^3*csgn(I/x*(exp(4)-x^2+(-ln(x)+16)*x))^2-2*I*Pi*x*csgn(I/x)*csgn(I*(exp(4)-x^2+(-ln(x)+16)*x))*csgn(I/x*(exp(4)-x^2+(-ln(x)+16)*x))-4*I*Pi*x*csgn(I/x*(exp(4)-x^2+(-ln(x)+16)*x))^2-9/2*I*Pi*x^3*csgn(I/x)*csgn(I*(exp(4)-x^2+(-ln(x)+16)*x))*csgn(I/x*(exp(4)-x^2+(-ln(x)+16)*x))+2*I*Pi*x*csgn(I/x)*csgn(I/x*(exp(4)-x^2+(-ln(x)+16)*x))^2+4*I*Pi*x+9*I*Pi*x^3+2*I*Pi*x*csgn(I/x*(exp(4)-x^2+(-ln(x)+16)*x))^3+9/2*I*Pi*x^3*csgn(I*(exp(4)-x^2+(-ln(x)+16)*x))*csgn(I/x*(exp(4)-x^2+(-ln(x)+16)*x))^2+2*I*Pi*x*csgn(I*(exp(4)-x^2+(-ln(x)+16)*x))*csgn(I/x*(exp(4)-x^2+(-ln(x)+16)*x))^2","C"
6589,0,0,31,180.000000," ","int((((-4*x^3+20*x^2-12*x-36)*exp(4/(x-3))^2*ln(4/x)+(4*x^4-20*x^3+12*x^2+36*x)*exp(4/(x-3))^2)*exp(ln(4/x)^2-2*x*ln(4/x)+x^2)^2*exp(exp(ln(4/x)^2-2*x*ln(4/x)+x^2)^2)+(-x^2-2*x-9)*exp(4/(x-3))^2)*exp(exp(exp(ln(4/x)^2-2*x*ln(4/x)+x^2)^2))/(x^4-6*x^3+9*x^2),x)","\[\int \frac{\left(\left(\left(-4 x^{3}+20 x^{2}-12 x -36\right) {\mathrm e}^{\frac{8}{x -3}} \ln \left(\frac{4}{x}\right)+\left(4 x^{4}-20 x^{3}+12 x^{2}+36 x \right) {\mathrm e}^{\frac{8}{x -3}}\right) {\mathrm e}^{2 \ln \left(\frac{4}{x}\right)^{2}-4 x \ln \left(\frac{4}{x}\right)+2 x^{2}} {\mathrm e}^{{\mathrm e}^{2 \ln \left(\frac{4}{x}\right)^{2}-4 x \ln \left(\frac{4}{x}\right)+2 x^{2}}}+\left(-x^{2}-2 x -9\right) {\mathrm e}^{\frac{8}{x -3}}\right) {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{2 \ln \left(\frac{4}{x}\right)^{2}-4 x \ln \left(\frac{4}{x}\right)+2 x^{2}}}}}{x^{4}-6 x^{3}+9 x^{2}}\, dx\]"," ",0,"int((((-4*x^3+20*x^2-12*x-36)*exp(4/(x-3))^2*ln(4/x)+(4*x^4-20*x^3+12*x^2+36*x)*exp(4/(x-3))^2)*exp(ln(4/x)^2-2*x*ln(4/x)+x^2)^2*exp(exp(ln(4/x)^2-2*x*ln(4/x)+x^2)^2)+(-x^2-2*x-9)*exp(4/(x-3))^2)*exp(exp(exp(ln(4/x)^2-2*x*ln(4/x)+x^2)^2))/(x^4-6*x^3+9*x^2),x)","F"
6590,1,30,27,0.048000," ","int(((-45*x^4-30*x^3-95*x^2-60*x-10)*ln(x^2+2)+(-45*x^5-75*x^4-125*x^3-155*x^2-70*x-10)*exp(x)-360*x^5-330*x^4-820*x^3-465*x^2-80*x+50)/(18*x^4+12*x^3+38*x^2+24*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{5 \,{\mathrm e}^{x} x}{2}-10 x^{2}-\frac{25}{6 \left(3 x +1\right)}-\frac{5 \ln \left(x^{2}+2\right) x}{2}$&$30$\\ risch&$-\frac{5 \ln \left(x^{2}+2\right) x}{2}-\frac{5 \left(36 x^{3}+9 \,{\mathrm e}^{x} x^{2}+12 x^{2}+3 \,{\mathrm e}^{x} x +5\right)}{6 \left(3 x +1\right)}$&$44$\\ \hline \end{longtable}"," ",0,"-5/2*exp(x)*x-10*x^2-25/6/(3*x+1)-5/2*ln(x^2+2)*x","A"
6591,1,278332,29,42.253000," ","int((((8*x^2-8*x)*ln(x)-24*x^2+24*x)*ln(ln(x)-3)*ln(-x^2*ln(3)/(2*x-2)/ln(ln(x)-3))^4+(((16*x^2-32*x)*ln(x)-48*x^2+96*x)*ln(ln(x)-3)-16*x^2+16*x)*ln(-x^2*ln(3)/(2*x-2)/ln(ln(x)-3))^3)/((x-1)*ln(x)-3*x+3)/ln(ln(x)-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$278332$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
6592,1,207,24,0.397000," ","int((((x*exp(x)*ln(x)-6*exp(x)*x^2)*ln(3*x)+exp(x)*ln(x)-6*exp(x)*x)*ln((ln(x)-6*x)/x)+(exp(x)*ln(x)-exp(x))*ln(3*x)+4*ln(x)-4)/((x*exp(x)^2*ln(x)-6*exp(x)^2*x^2)*ln(3*x)^2+(8*x*exp(x)*ln(x)-48*exp(x)*x^2)*ln(3*x)+16*x*ln(x)-96*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i \ln \left(-\frac{\ln \left(x \right)}{6}+x \right)}{-2 i \ln \left(3\right) {\mathrm e}^{x}-2 i {\mathrm e}^{x} \ln \left(x \right)-8 i}-\frac{-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\frac{\ln \left(x \right)}{6}-x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)}{6}-x \right)}{x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)}{6}-x \right)}{x}\right)^{2}-2 i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)}{6}-x \right)}{x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(\frac{\ln \left(x \right)}{6}-x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)}{6}-x \right)}{x}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{\ln \left(x \right)}{6}-x \right)}{x}\right)^{3}+2 i \pi +2 \ln \left(3\right)+2 \ln \left(2\right)-2 \ln \left(x \right)}{8+2 \ln \left(3\right) {\mathrm e}^{x}+2 \,{\mathrm e}^{x} \ln \left(x \right)}$&$207$\\ \hline \end{longtable}"," ",0,"2*I/(-2*I*ln(3)*exp(x)-2*I*exp(x)*ln(x)-8*I)*ln(-1/6*ln(x)+x)-(-I*Pi*csgn(I/x)*csgn(I*(1/6*ln(x)-x))*csgn(I*(1/6*ln(x)-x)/x)+I*Pi*csgn(I/x)*csgn(I*(1/6*ln(x)-x)/x)^2-2*I*Pi*csgn(I*(1/6*ln(x)-x)/x)^2-I*Pi*csgn(I*(1/6*ln(x)-x))*csgn(I*(1/6*ln(x)-x)/x)^2-I*Pi*csgn(I*(1/6*ln(x)-x)/x)^3+2*I*Pi+2*ln(3)+2*ln(2)-2*ln(x))/(8+2*ln(3)*exp(x)+2*exp(x)*ln(x))","C"
6593,1,14,14,0.043000," ","int(1/9*(18*x^2*ln(x)^2+16*x*ln(x)-16*x+32)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{\frac{16 x}{9}-\frac{32}{9}}{\ln \left(x \right)}$&$14$\\ norman&$\frac{-\frac{32}{9}+x^{2} \ln \left(x \right)+\frac{16 x}{9}}{\ln \left(x \right)}$&$17$\\ default&$x^{2}+\frac{16 x}{9 \ln \left(x \right)}-\frac{32}{9 \ln \left(x \right)}$&$18$\\ \hline \end{longtable}"," ",0,"x^2+16/9*(x-2)/ln(x)","A"
6594,1,16,12,0.506000," ","int((3*exp(3)+75)*ln(3)/(exp(3)^2+(2*x+50)*exp(3)+x^2+50*x+625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{3 \ln \left(3\right) \left({\mathrm e}^{3}+25\right)}{x +{\mathrm e}^{3}+25}$&$16$\\ norman&$\frac{-3 \,{\mathrm e}^{3} \ln \left(3\right)-75 \ln \left(3\right)}{x +{\mathrm e}^{3}+25}$&$20$\\ risch&$-\frac{3 \ln \left(3\right) {\mathrm e}^{3}}{x +{\mathrm e}^{3}+25}-\frac{75 \ln \left(3\right)}{x +{\mathrm e}^{3}+25}$&$26$\\ meijerg&$\frac{3 \,{\mathrm e}^{3} \ln \left(3\right) x}{\left({\mathrm e}^{3}+25\right)^{2} \left(1+\frac{x}{{\mathrm e}^{3}+25}\right)}+\frac{75 \ln \left(3\right) x}{\left({\mathrm e}^{3}+25\right)^{2} \left(1+\frac{x}{{\mathrm e}^{3}+25}\right)}$&$50$\\ \hline \end{longtable}"," ",0,"-3*ln(3)*(exp(3)+25)/(x+exp(3)+25)","A"
6595,1,92,24,0.364000," ","int(((2*x^4*exp(2)^2+(6*x^5-4*x^4)*exp(2)+4*x^6-6*x^5+2*x^4)*exp(3*x)^3+((6*x^4-36*x^3)*exp(2)^2+(12*x^5-116*x^4+72*x^3)*exp(2)+6*x^6-78*x^5+110*x^4-36*x^3)*exp(3*x)^2+((6*x^4-72*x^3+216*x^2)*exp(2)^2+(12*x^5-184*x^4+732*x^3-432*x^2)*exp(2)+6*x^6-114*x^5+528*x^4-660*x^3+216*x^2)*exp(3*x)+(2*x^4-36*x^3+216*x^2-432*x)*exp(2)^2+(6*x^5-108*x^4+660*x^3-1512*x^2+864*x)*exp(2)+4*x^6-72*x^5+456*x^4-1224*x^3+1296*x^2-432*x)/(x^3*exp(3*x)^3+(3*x^3-18*x^2)*exp(3*x)^2+(3*x^3-36*x^2+108*x)*exp(3*x)+x^3-18*x^2+108*x-216),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}+2 x^{3} {\mathrm e}^{2}-2 x^{3}-2 x^{2} {\mathrm e}^{2}+x^{2} {\mathrm e}^{4}+x^{2}+\frac{\left(2 x \,{\mathrm e}^{3 x +2}+2 x^{2} {\mathrm e}^{3 x}+2 \,{\mathrm e}^{2} x +2 x^{2}-2 x \,{\mathrm e}^{3 x}-12 \,{\mathrm e}^{2}-13 x +12\right) x^{3}}{\left(x +x \,{\mathrm e}^{3 x}-6\right)^{2}}$&$92$\\ norman&$\frac{x^{6}+\left(-12+2 \,{\mathrm e}^{2}\right) x^{5}+\left(-72+84 \,{\mathrm e}^{2}-12 \,{\mathrm e}^{4}\right) x^{3}+\left(48-24 \,{\mathrm e}^{2}+{\mathrm e}^{4}\right) x^{4}+\left(36-72 \,{\mathrm e}^{2}+36 \,{\mathrm e}^{4}\right) x^{2}+{\mathrm e}^{6 x} x^{6}+\left(2 \,{\mathrm e}^{2}-2\right) x^{5} {\mathrm e}^{6 x}+\left(4 \,{\mathrm e}^{2}-14\right) x^{5} {\mathrm e}^{3 x}+\left(-12+24 \,{\mathrm e}^{2}-12 \,{\mathrm e}^{4}\right) x^{3} {\mathrm e}^{3 x}+\left(24+2 \,{\mathrm e}^{4}-26 \,{\mathrm e}^{2}\right) x^{4} {\mathrm e}^{3 x}+\left({\mathrm e}^{4}-2 \,{\mathrm e}^{2}+1\right) x^{4} {\mathrm e}^{6 x}+2 \,{\mathrm e}^{3 x} x^{6}}{\left(x +x \,{\mathrm e}^{3 x}-6\right)^{2}}$&$182$\\ \hline \end{longtable}"," ",0,"x^4+2*x^3*exp(2)-2*x^3-2*x^2*exp(2)+x^2*exp(4)+x^2+(2*x*exp(3*x+2)+2*x^2*exp(3*x)+2*exp(2)*x+2*x^2-2*x*exp(3*x)-12*exp(2)-13*x+12)*x^3/(x+x*exp(3*x)-6)^2","B"
6596,1,22,25,0.183000," ","int(((4*exp(4)^2*ln(3*x)+(4*exp(4)^2+8*x^2)*ln(x)+4*x^2)*exp(4*exp(4)^2*ln(x)*ln(3*x)+4*x^2*ln(x))+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +x^{4 \,{\mathrm e}^{8} \left(\ln \left(x \right)+\ln \left(3\right)\right)} x^{4 x^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"x+x^(4*exp(8)*(ln(x)+ln(3)))*x^(4*x^2)","A"
6597,1,20,22,0.054000," ","int((-60*x^3-450*x^2-750*x+15)*exp(ln(3)-5*x^4-50*x^3-125*x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 \,{\mathrm e}^{-5 x \left(x^{3}+10 x^{2}+25 x -1\right)}$&$20$\\ gosper&$3 \,{\mathrm e}^{\ln \left(3\right)-5 x^{4}-50 x^{3}-125 x^{2}+5 x}$&$25$\\ norman&$3 \,{\mathrm e}^{\ln \left(3\right)-5 x^{4}-50 x^{3}-125 x^{2}+5 x}$&$25$\\ \hline \end{longtable}"," ",0,"9*exp(-5*x*(x^3+10*x^2+25*x-1))","A"
6598,1,15,22,0.031000," ","int((-2*x^3+10*x^2-4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$10 x -x^{2}+\frac{4}{x}$&$15$\\ risch&$10 x -x^{2}+\frac{4}{x}$&$15$\\ gosper&$-\frac{x^{3}-10 x^{2}-4}{x}$&$16$\\ norman&$\frac{-x^{3}+10 x^{2}+4}{x}$&$17$\\ \hline \end{longtable}"," ",0,"10*x-x^2+4/x","A"
6599,0,0,20,0.053000," ","int((((exp(x)+1)*ln(2*x)+(3*x+2)*exp(x)+3*x+2)*ln(exp(x)*x+x)+((x+1)*exp(x)+1)*ln(2*x)+(x^2+x)*exp(x)+x)/((exp(x)*x+x)*ln(2*x)+exp(x)*x^2+x^2)/ln(exp(x)*x+x)/ln(1/5*(3*x*ln(2*x)^2+6*x^2*ln(2*x)+3*x^3)*ln(exp(x)*x+x)),x)","\[\int \frac{\left(\left({\mathrm e}^{x}+1\right) \ln \left(2 x \right)+\left(3 x +2\right) {\mathrm e}^{x}+3 x +2\right) \ln \left({\mathrm e}^{x} x +x \right)+\left(\left(x +1\right) {\mathrm e}^{x}+1\right) \ln \left(2 x \right)+\left(x^{2}+x \right) {\mathrm e}^{x}+x}{\left(\left({\mathrm e}^{x} x +x \right) \ln \left(2 x \right)+{\mathrm e}^{x} x^{2}+x^{2}\right) \ln \left({\mathrm e}^{x} x +x \right) \ln \left(\frac{\left(3 x \ln \left(2 x \right)^{2}+6 x^{2} \ln \left(2 x \right)+3 x^{3}\right) \ln \left({\mathrm e}^{x} x +x \right)}{5}\right)}\, dx\]"," ",0,"int((((exp(x)+1)*ln(2*x)+(3*x+2)*exp(x)+3*x+2)*ln(exp(x)*x+x)+((x+1)*exp(x)+1)*ln(2*x)+(x^2+x)*exp(x)+x)/((exp(x)*x+x)*ln(2*x)+exp(x)*x^2+x^2)/ln(exp(x)*x+x)/ln(1/5*(3*x*ln(2*x)^2+6*x^2*ln(2*x)+3*x^3)*ln(exp(x)*x+x)),x)","F"
6600,1,58,24,0.048000," ","int(((-300*x^5-7500*x^4-45500*x^3-6000*x^2-200*x)*ln((3*x^2+30*x+2)/(x^2+15*x+1))^2+(300*x^7+7500*x^6+45500*x^5+6750*x^4+300*x^3)*ln((3*x^2+30*x+2)/(x^2+15*x+1))-750*x^6-100*x^5)/(3*x^4+75*x^3+455*x^2+60*x+2)/ln((3*x^2+30*x+2)/(x^2+15*x+1))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 \left(x^{2}-2 \ln \left(\frac{3 x^{2}+30 x +2}{x^{2}+15 x +1}\right)\right) x^{2}}{\ln \left(\frac{3 x^{2}+30 x +2}{x^{2}+15 x +1}\right)^{2}}$&$58$\\ \hline \end{longtable}"," ",0,"25*(x^2-2*ln((3*x^2+30*x+2)/(x^2+15*x+1)))*x^2/ln((3*x^2+30*x+2)/(x^2+15*x+1))^2","B"
6601,1,107,26,0.151000," ","int(((-x^5+5*x^4-10*x^3+10*x^2-6*x+2)*ln((x^5-4*x^4+6*x^3-4*x^2+2*x)/(x^4-4*x^3+6*x^2-4*x+1))^2+(-6*x^6+32*x^5-70*x^4+80*x^3-32*x^2+16*x-4)*ln((x^5-4*x^4+6*x^3-4*x^2+2*x)/(x^4-4*x^3+6*x^2-4*x+1))-3*x^7+15*x^6-25*x^5+5*x^4+32*x^3-44*x^2+30*x-10)/(x^7-5*x^6+10*x^5-10*x^4+6*x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-5+\ln \left(\frac{x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+2 x}{x^{4}-4 x^{3}+6 x^{2}-4 x +1}\right)^{2}-3 x^{2}-3 x \ln \left(\frac{x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+2 x}{x^{4}-4 x^{3}+6 x^{2}-4 x +1}\right)^{2}}{x}$&$107$\\ \hline \end{longtable}"," ",0,"(-5+ln((x^5-4*x^4+6*x^3-4*x^2+2*x)/(x^4-4*x^3+6*x^2-4*x+1))^2-3*x^2-3*x*ln((x^5-4*x^4+6*x^3-4*x^2+2*x)/(x^4-4*x^3+6*x^2-4*x+1))^2)/x","B"
6602,1,97,28,0.075000," ","int(((-x^2*exp(2-x)-x^2)*ln(x)^2+((-2*x^4+4*x^3-3*x^2+4*x+2)*exp(2-x)-6*x^4-5*x^2)*ln(x)+(-6*x^4+14*x^3+9*x+4)*exp(2-x)-20*x^4-3*x^2+2*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{2-x}-x \right) \ln \left(x \right)^{2}-\frac{\left(2 x^{4}-2 x^{3} {\mathrm e}^{2-x}+3 x^{2}-3 x \,{\mathrm e}^{2-x}+2 \,{\mathrm e}^{2-x}\right) \ln \left(x \right)}{x}+\frac{-6 x^{4}+6 x^{3} {\mathrm e}^{2-x}+2 x \ln \left(x \right)-6 \,{\mathrm e}^{2-x}}{x}$&$97$\\ \hline \end{longtable}"," ",0,"(exp(2-x)-x)*ln(x)^2-(2*x^4-2*x^3*exp(2-x)+3*x^2-3*x*exp(2-x)+2*exp(2-x))/x*ln(x)+2*(-3*x^4+3*x^3*exp(2-x)+x*ln(x)-3*exp(2-x))/x","B"
6603,1,48,20,0.441000," ","int(((2*x^5+48*x^4+190*x^3)*ln(1/3*x+19/3)^2+(-90*x-1710)*ln(1/3*x+19/3)-45*x)*exp(((x^4+10*x^3+25*x^2)*ln(1/3*x+19/3)+45)/x^2/ln(1/3*x+19/3))/(x^4+19*x^3)/ln(1/3*x+19/3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\ln \left(\frac{x}{3}+\frac{19}{3}\right) x^{4}+10 \ln \left(\frac{x}{3}+\frac{19}{3}\right) x^{3}+25 x^{2} \ln \left(\frac{x}{3}+\frac{19}{3}\right)+45}{x^{2} \ln \left(\frac{x}{3}+\frac{19}{3}\right)}}$&$48$\\ \hline \end{longtable}"," ",0,"exp((ln(1/3*x+19/3)*x^4+10*ln(1/3*x+19/3)*x^3+25*x^2*ln(1/3*x+19/3)+45)/x^2/ln(1/3*x+19/3))","B"
6604,1,31,28,0.337000," ","int(((8*ln(3)+16)*exp(x)+(-4*x-4)*ln(3)-16*x)/((ln(3)*exp(x)-x*ln(3))*ln(x-exp(x))+((exp(5/3)+x-3)*ln(3)+4*x)*exp(x)+(-x*exp(5/3)-x^2+3*x)*ln(3)-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 \ln \left({\mathrm e}^{\frac{5}{3}} \ln \left(3\right)+\ln \left(x -{\mathrm e}^{x}\right) \ln \left(3\right)+x \ln \left(3\right)-3 \ln \left(3\right)+4 x \right)$&$31$\\ risch&$4 \ln \left(\ln \left(x -{\mathrm e}^{x}\right)+\frac{{\mathrm e}^{\frac{5}{3}} \ln \left(3\right)+x \ln \left(3\right)-3 \ln \left(3\right)+4 x}{\ln \left(3\right)}\right)$&$34$\\ \hline \end{longtable}"," ",0,"4*ln(exp(5/3)*ln(3)+ln(x-exp(x))*ln(3)+x*ln(3)-3*ln(3)+4*x)","A"
6605,1,29,20,0.064000," ","int(((15*x*exp(3)-238*x)*ln(x)+15*x*exp(3)-238*x-2)/(15*x*exp(3)-240*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{2 \ln \left(x \right)}{15 \left({\mathrm e}^{3}-16\right)}+\frac{\left(15 \,{\mathrm e}^{3}-238\right) x \ln \left(x \right)}{15 \,{\mathrm e}^{3}-240}$&$29$\\ risch&$-\frac{2 \ln \left(x \right)}{15 \left({\mathrm e}^{3}-16\right)}+\frac{\left(15 \,{\mathrm e}^{3}-238\right) x \ln \left(x \right)}{15 \,{\mathrm e}^{3}-240}$&$29$\\ default&$\frac{{\mathrm e}^{3} \left(x \ln \left(x \right)-x \right)}{{\mathrm e}^{3}-16}-\frac{238 \left(x \ln \left(x \right)-x \right)}{15 \left({\mathrm e}^{3}-16\right)}+\frac{{\mathrm e}^{3} x}{{\mathrm e}^{3}-16}-\frac{238 x}{15 \left({\mathrm e}^{3}-16\right)}-\frac{2 \ln \left(x \right)}{15 \left({\mathrm e}^{3}-16\right)}$&$64$\\ \hline \end{longtable}"," ",0,"-2/15/(exp(3)-16)*ln(x)+1/15*(15*exp(3)-238)/(exp(3)-16)*x*ln(x)","A"
6606,1,12,13,0.043000," ","int((exp(5)*ln(5)*ln(x)-exp(5)*ln(5))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{{\mathrm e}^{5} \ln \left(5\right) \ln \left(x \right)}{x}$&$12$\\ risch&$-\frac{{\mathrm e}^{5} \ln \left(5\right) \ln \left(x \right)}{x}$&$12$\\ default&${\mathrm e}^{5} \ln \left(5\right) \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)+\frac{{\mathrm e}^{5} \ln \left(5\right)}{x}$&$28$\\ \hline \end{longtable}"," ",0,"-exp(5)*ln(5)*ln(x)/x","A"
6607,1,42,16,0.419000," ","int(((-4*x*exp(1)-16*x^2+32)*ln(exp(1)+4*x)+(x^3-44*x)*exp(1)+4*x^4-184*x^2+352)/(4*exp(1)+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left({\mathrm e}+4 x \right)^{2}+22 \ln \left({\mathrm e}+4 x \right)-\frac{11 x^{2}}{2}+\frac{x^{4}}{16}-\frac{\ln \left({\mathrm e}+4 x \right) x^{2}}{2}$&$42$\\ risch&$\ln \left({\mathrm e}+4 x \right)^{2}+22 \ln \left({\mathrm e}+4 x \right)-\frac{11 x^{2}}{2}+\frac{x^{4}}{16}-\frac{\ln \left({\mathrm e}+4 x \right) x^{2}}{2}$&$42$\\ derivativedivides&$-\frac{\left({\mathrm e}+4 x \right) {\mathrm e}^{3}}{1024}+\frac{3 \,{\mathrm e}^{2} \left({\mathrm e}+4 x \right)^{2}}{2048}-\frac{{\mathrm e} \left({\mathrm e}+4 x \right)^{3}}{1024}+\frac{\left({\mathrm e}+4 x \right)^{4}}{4096}+\frac{{\mathrm e} \left(\left({\mathrm e}+4 x \right) \ln \left({\mathrm e}+4 x \right)-{\mathrm e}-4 x \right)}{16}-\frac{\ln \left({\mathrm e}+4 x \right) \left({\mathrm e}+4 x \right)^{2}}{32}-\frac{11 \left({\mathrm e}+4 x \right)^{2}}{32}-\frac{{\mathrm e}^{2} \ln \left({\mathrm e}+4 x \right)}{32}+\frac{3 \,{\mathrm e} \left({\mathrm e}+4 x \right)}{4}+\ln \left({\mathrm e}+4 x \right)^{2}+22 \ln \left({\mathrm e}+4 x \right)$&$144$\\ default&$-\frac{\left({\mathrm e}+4 x \right) {\mathrm e}^{3}}{1024}+\frac{3 \,{\mathrm e}^{2} \left({\mathrm e}+4 x \right)^{2}}{2048}-\frac{{\mathrm e} \left({\mathrm e}+4 x \right)^{3}}{1024}+\frac{\left({\mathrm e}+4 x \right)^{4}}{4096}+\frac{{\mathrm e} \left(\left({\mathrm e}+4 x \right) \ln \left({\mathrm e}+4 x \right)-{\mathrm e}-4 x \right)}{16}-\frac{\ln \left({\mathrm e}+4 x \right) \left({\mathrm e}+4 x \right)^{2}}{32}-\frac{11 \left({\mathrm e}+4 x \right)^{2}}{32}-\frac{{\mathrm e}^{2} \ln \left({\mathrm e}+4 x \right)}{32}+\frac{3 \,{\mathrm e} \left({\mathrm e}+4 x \right)}{4}+\ln \left({\mathrm e}+4 x \right)^{2}+22 \ln \left({\mathrm e}+4 x \right)$&$144$\\ \hline \end{longtable}"," ",0,"ln(exp(1)+4*x)^2+22*ln(exp(1)+4*x)-11/2*x^2+1/16*x^4-1/2*ln(exp(1)+4*x)*x^2","B"
6608,1,54,27,0.777000," ","int(((-2*x+8)*exp(3)^2*ln(5)^2+((4*x-16)*exp(3)^2+(-8*x+32)*exp(3))*ln(5)+(-2*x^3+4*x^2-2*x+8)*exp(3)^2+(8*x-32)*exp(3)-8*x+32)*exp((-exp(3)^2*ln(5)^2+(2*exp(3)^2-4*exp(3))*ln(5)+(4*x^2-1)*exp(3)^2+4*exp(3)-4)/x^2/exp(3)^2)/x^2/exp(3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{1}{625}\right)^{\frac{{\mathrm e}^{-3}}{x^{2}}} 25^{\frac{1}{x^{2}}} \left(-x^{2} {\mathrm e}^{6}+4 x \,{\mathrm e}^{6}\right) {\mathrm e}^{\frac{-\ln \left(5\right)^{2}-2 x^{2}-4 \,{\mathrm e}^{-6}+4 \,{\mathrm e}^{-3}-1}{x^{2}}}$&$54$\\ gosper&$-{\mathrm e}^{-\frac{\left({\mathrm e}^{6} \ln \left(5\right)^{2}-4 x^{2} {\mathrm e}^{6}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4\right) {\mathrm e}^{-6}}{x^{2}}} \left(x -4\right) x$&$59$\\ norman&$\frac{\left(4 x^{2} {\mathrm e}^{3} {\mathrm e}^{\frac{\left(-{\mathrm e}^{6} \ln \left(5\right)^{2}+\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+\left(4 x^{2}-1\right) {\mathrm e}^{6}+4 \,{\mathrm e}^{3}-4\right) {\mathrm e}^{-6}}{x^{2}}}-x^{3} {\mathrm e}^{3} {\mathrm e}^{\frac{\left(-{\mathrm e}^{6} \ln \left(5\right)^{2}+\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+\left(4 x^{2}-1\right) {\mathrm e}^{6}+4 \,{\mathrm e}^{3}-4\right) {\mathrm e}^{-6}}{x^{2}}}\right) {\mathrm e}^{-3}}{x}$&$126$\\ default&${\mathrm e}^{-6} \left(-\frac{4 \,{\mathrm e}^{9} \ln \left(5\right)^{2} \sqrt{\pi}\, {\mathrm e}^{4} \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}{x}\right)}{\sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}-\frac{\left(-16 \,{\mathrm e}^{6}+32 \,{\mathrm e}^{3}\right) \ln \left(5\right) \sqrt{\pi}\, {\mathrm e}^{4} {\mathrm e}^{3} \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}{x}\right)}{2 \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}-\frac{4 \,{\mathrm e}^{9} \sqrt{\pi}\, {\mathrm e}^{4} \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}{x}\right)}{\sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}+\frac{16 \,{\mathrm e}^{6} \sqrt{\pi}\, {\mathrm e}^{4} \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}{x}\right)}{\sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}-\frac{16 \sqrt{\pi}\, {\mathrm e}^{4} {\mathrm e}^{3} \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}{x}\right)}{\sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}+\frac{\left(-2 \,{\mathrm e}^{6} \ln \left(5\right)^{2}+\left(4 \,{\mathrm e}^{6}-8 \,{\mathrm e}^{3}\right) \ln \left(5\right)-2 \,{\mathrm e}^{6}+8 \,{\mathrm e}^{3}-8\right) {\mathrm e}^{4} \expIntegralEi \left(1, \frac{\left({\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4\right) {\mathrm e}^{-6}}{x^{2}}\right)}{2}+4 \,{\mathrm e}^{6} x \,{\mathrm e}^{4-\frac{\left({\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4\right) {\mathrm e}^{-6}}{x^{2}}}+4 \,{\mathrm e}^{3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}\, \sqrt{\pi}\, {\mathrm e}^{4} \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}{x}\right)-{\mathrm e}^{6} x^{2} {\mathrm e}^{4-\frac{\left({\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4\right) {\mathrm e}^{-6}}{x^{2}}}+\left({\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4\right) {\mathrm e}^{4} \expIntegralEi \left(1, \frac{\left({\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4\right) {\mathrm e}^{-6}}{x^{2}}\right)\right)$&$826$\\ derivativedivides&$-{\mathrm e}^{-6} \left(\frac{4 \,{\mathrm e}^{9} \ln \left(5\right)^{2} \sqrt{\pi}\, {\mathrm e}^{4} \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}{x}\right)}{\sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}+\frac{\left(-16 \,{\mathrm e}^{6}+32 \,{\mathrm e}^{3}\right) \ln \left(5\right) \sqrt{\pi}\, {\mathrm e}^{4} {\mathrm e}^{3} \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}{x}\right)}{2 \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}+\frac{4 \,{\mathrm e}^{9} \sqrt{\pi}\, {\mathrm e}^{4} \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}{x}\right)}{\sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}-\frac{16 \,{\mathrm e}^{6} \sqrt{\pi}\, {\mathrm e}^{4} \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}{x}\right)}{\sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}+\frac{16 \sqrt{\pi}\, {\mathrm e}^{4} {\mathrm e}^{3} \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}{x}\right)}{\sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}-\frac{\left(-2 \,{\mathrm e}^{6} \ln \left(5\right)^{2}+\left(4 \,{\mathrm e}^{6}-8 \,{\mathrm e}^{3}\right) \ln \left(5\right)-2 \,{\mathrm e}^{6}+8 \,{\mathrm e}^{3}-8\right) {\mathrm e}^{4} \expIntegralEi \left(1, \frac{\left({\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4\right) {\mathrm e}^{-6}}{x^{2}}\right)}{2}-4 \,{\mathrm e}^{6} x \,{\mathrm e}^{4-\frac{\left({\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4\right) {\mathrm e}^{-6}}{x^{2}}}-4 \,{\mathrm e}^{3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}\, \sqrt{\pi}\, {\mathrm e}^{4} \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4}}{x}\right)+{\mathrm e}^{6} x^{2} {\mathrm e}^{4-\frac{\left({\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4\right) {\mathrm e}^{-6}}{x^{2}}}-\left({\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4\right) {\mathrm e}^{4} \expIntegralEi \left(1, \frac{\left({\mathrm e}^{6} \ln \left(5\right)^{2}+4 \,{\mathrm e}^{3} \ln \left(5\right)-2 \ln \left(5\right) {\mathrm e}^{6}-4 \,{\mathrm e}^{3}+{\mathrm e}^{6}+4\right) {\mathrm e}^{-6}}{x^{2}}\right)\right)$&$827$\\ meijerg&$-\frac{4 \ln \left(5\right)^{2} {\mathrm e}^{7} \sqrt{\pi}\, \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}}{x}\right)}{\sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}}+\frac{8 \ln \left(5\right) {\mathrm e}^{7} \sqrt{\pi}\, \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}}{x}\right)}{\sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}}-\frac{16 \,{\mathrm e}^{4} \ln \left(5\right) \sqrt{\pi}\, \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}}{x}\right)}{\sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}}-\frac{4 \,{\mathrm e}^{7} \sqrt{\pi}\, \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}}{x}\right)}{\sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}}+\frac{16 \,{\mathrm e}^{4} \sqrt{\pi}\, \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}}{x}\right)}{\sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}}-\frac{16 \,{\mathrm e} \sqrt{\pi}\, \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}}{x}\right)}{\sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}}+{\mathrm e}^{-2} \left({\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4\right) \left(\frac{x^{2} {\mathrm e}^{6} \left(2-\frac{2 \,{\mathrm e}^{-6} \left({\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4\right)}{x^{2}}\right)}{2 \,{\mathrm e}^{6} \ln \left(5\right)^{2}-2 \left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+2 \,{\mathrm e}^{6}-8 \,{\mathrm e}^{3}+8}-\frac{x^{2} {\mathrm e}^{6-\frac{{\mathrm e}^{-6} \left({\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4\right)}{x^{2}}}}{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}+\ln \left(\frac{{\mathrm e}^{-6} \left({\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4\right)}{x^{2}}\right)+\expIntegralEi \left(1, \frac{{\mathrm e}^{-6} \left({\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4\right)}{x^{2}}\right)+7+2 \ln \left(x \right)-\ln \left({\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4\right)-\frac{x^{2} {\mathrm e}^{6}}{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}\right)-2 \,{\mathrm e} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}\, \left(-\frac{2 x \,{\mathrm e}^{3-\frac{{\mathrm e}^{-6} \left({\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4\right)}{x^{2}}}}{\sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}}-2 \sqrt{\pi}\, \erf \left(\frac{{\mathrm e}^{-3} \sqrt{{\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4}}{x}\right)\right)-\frac{{\mathrm e}^{-2} \left(-2 \,{\mathrm e}^{6} \ln \left(5\right)^{2}+4 \ln \left(5\right) {\mathrm e}^{6}-8 \,{\mathrm e}^{3} \ln \left(5\right)-2 \,{\mathrm e}^{6}+8 \,{\mathrm e}^{3}-8\right) \left(-\ln \left(\frac{{\mathrm e}^{-6} \left({\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4\right)}{x^{2}}\right)-\expIntegralEi \left(1, \frac{{\mathrm e}^{-6} \left({\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4\right)}{x^{2}}\right)-2 \ln \left(x \right)-6+\ln \left({\mathrm e}^{6} \ln \left(5\right)^{2}-\left(2 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}\right) \ln \left(5\right)+{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4\right)\right)}{2}$&$1069$\\ \hline \end{longtable}"," ",0,"(1/625)^(1/x^2*exp(-3))*25^(1/x^2)*(-x^2*exp(6)+4*x*exp(6))*exp((-ln(5)^2-2*x^2-4*exp(-6)+4*exp(-3)-1)/x^2)","A"
6609,1,11,15,0.064000," ","int((-2*ln(3)+2*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\frac{\ln \left(3\right)}{x^{2}}$&$11$\\ risch&$2 x +\frac{\ln \left(3\right)}{x^{2}}$&$11$\\ gosper&$\frac{2 x^{3}+\ln \left(3\right)}{x^{2}}$&$13$\\ norman&$\frac{2 x^{3}+\ln \left(3\right)}{x^{2}}$&$13$\\ \hline \end{longtable}"," ",0,"2*x+1/x^2*ln(3)","A"
6610,1,19,18,0.091000," ","int(((-4*x^2+62*x+32)*exp(-x^2-x-2)+1)*exp(2*exp(-x^2-x-2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x -16\right) {\mathrm e}^{2 \,{\mathrm e}^{-x^{2}-x -2}}$&$19$\\ norman&$x \,{\mathrm e}^{2 \,{\mathrm e}^{-x^{2}-x -2}}-16 \,{\mathrm e}^{2 \,{\mathrm e}^{-x^{2}-x -2}}$&$34$\\ \hline \end{longtable}"," ",0,"(x-16)*exp(2*exp(-x^2-x-2))","A"
6611,1,44,32,0.090000," ","int(((-8*x*exp(x)^4+32*x^2*exp(x)^3-48*exp(x)^2*x^3+32*exp(x)*x^4-8*x^5)*ln(x)^2+((4*x^2-4*x)*exp(4)*exp(x)^3+((-4*x^3-18*x)*exp(4)+8*x)*exp(x)^2+((4*x^3+20*x^2+20*x)*exp(4)-16*x^2)*exp(x)+(-2*x^3-20*x^2)*exp(4)+8*x^3)*ln(x)+2*exp(4)*exp(x)^4-4*x*exp(4)*exp(x)^3+(2*x^2-10)*exp(4)*exp(x)^2+(4*x^2+20*x)*exp(4)*exp(x)+(-2*x^3-10*x^2-x)*exp(4)-2*x)/((8*x*exp(x)^4-32*x^2*exp(x)^3+48*exp(x)^2*x^3-32*exp(x)*x^4+8*x^5)*ln(x)^2+(-8*x*exp(x)^2+16*exp(x)*x^2-8*x^3)*ln(x)+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{\left(5+x -{\mathrm e}^{2 x}\right) {\mathrm e}^{4}}{4 \ln \left(x \right) {\mathrm e}^{2 x}-8 x \,{\mathrm e}^{x} \ln \left(x \right)+4 x^{2} \ln \left(x \right)-2}$&$44$\\ \hline \end{longtable}"," ",0,"-x+1/2*(5+x-exp(2*x))*exp(4)/(2*ln(x)*exp(2*x)-4*x*exp(x)*ln(x)+2*x^2*ln(x)-1)","A"
6612,1,19,13,0.063000," ","int(1/2*(-6*exp(11/4)*ln(2*x)+(-3*x+3)*exp(11/4))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{3 \,{\mathrm e}^{\frac{11}{4}} x}{2}+\frac{3 \,{\mathrm e}^{\frac{11}{4}} \ln \left(2 x \right)}{2}}{x^{2}}$&$19$\\ risch&$\frac{3 \,{\mathrm e}^{\frac{11}{4}} \ln \left(2 x \right)}{2 x^{2}}+\frac{3 \,{\mathrm e}^{\frac{11}{4}}}{2 x}$&$20$\\ derivativedivides&$-12 \,{\mathrm e}^{\frac{11}{4}} \left(-\frac{\ln \left(2 x \right)}{8 x^{2}}-\frac{1}{16 x^{2}}\right)+\frac{3 \,{\mathrm e}^{\frac{11}{4}}}{2 x}-\frac{3 \,{\mathrm e}^{\frac{11}{4}}}{4 x^{2}}$&$35$\\ default&$-12 \,{\mathrm e}^{\frac{11}{4}} \left(-\frac{\ln \left(2 x \right)}{8 x^{2}}-\frac{1}{16 x^{2}}\right)+\frac{3 \,{\mathrm e}^{\frac{11}{4}}}{2 x}-\frac{3 \,{\mathrm e}^{\frac{11}{4}}}{4 x^{2}}$&$35$\\ \hline \end{longtable}"," ",0,"(3/2*exp(11/4)*x+3/2*exp(11/4)*ln(2*x))/x^2","A"
6613,1,36,30,0.100000," ","int((2*x*ln(2)^4*exp(x^2)*exp(((x^4-8*x^3+16*x^2)*ln(2)^4+(2*x^7-8*x^6)*ln(2)^2+x^10)/ln(2)^4)+(-12*x^3+72*x^2-96*x)*ln(2)^4+(-42*x^6+144*x^5)*ln(2)^2-30*x^9)/ln(2)^4/exp(((x^4-8*x^3+16*x^2)*ln(2)^4+(2*x^7-8*x^6)*ln(2)^2+x^10)/ln(2)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{2}}+3 \,{\mathrm e}^{-\frac{x^{2} \left(x^{4}+x \ln \left(2\right)^{2}-4 \ln \left(2\right)^{2}\right)^{2}}{\ln \left(2\right)^{4}}}$&$36$\\ \hline \end{longtable}"," ",0,"exp(x^2)+3*exp(-x^2*(x^4+x*ln(2)^2-4*ln(2)^2)^2/ln(2)^4)","A"
6614,1,21,21,0.043000," ","int((((x-1)*exp(x)-2)*ln(x)^3+(-2*x^2*exp(1)+10*x^2)*ln(x)+4*x^2*exp(1)-20*x^2)/x^2/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}+2}{x}-\frac{2 \left({\mathrm e}-5\right) x}{\ln \left(x \right)^{2}}$&$21$\\ default&$-\frac{2 \,{\mathrm e} x}{\ln \left(x \right)^{2}}+\frac{10 x}{\ln \left(x \right)^{2}}+\frac{{\mathrm e}^{x}}{x}+\frac{2}{x}$&$29$\\ \hline \end{longtable}"," ",0,"(exp(x)+2)/x-2*(exp(1)-5)*x/ln(x)^2","A"
6615,1,34,27,0.182000," ","int(((-2*x^3+9*x^2)*ln(-10/9*x+5)^2+((8*x-36)*ln(3)+16*x^2-48*x-108)*ln(-10/9*x+5)+8*x*ln(3)-8*x+144)/((2*x^3-9*x^2)*ln(-10/9*x+5)^2+(-16*x^2+72*x)*ln(-10/9*x+5)+32*x-144),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 x -x^{2} \ln \left(-\frac{10 x}{9}+5\right)-12-4 \ln \left(3\right)}{\ln \left(-\frac{10 x}{9}+5\right) x -4}$&$34$\\ risch&$-x -\frac{12}{\ln \left(-\frac{10 x}{9}+5\right) x -4}-\frac{4 \ln \left(3\right)}{\ln \left(-\frac{10 x}{9}+5\right) x -4}$&$35$\\ derivativedivides&$-\frac{9 \left(225 \ln \left(-\frac{10 x}{9}+5\right)+\frac{400 x}{9}-\frac{1600}{3}-9 \ln \left(-\frac{10 x}{9}+5\right) \left(-\frac{10 x}{9}+5\right)^{2}\right)}{10 \left(9 \ln \left(-\frac{10 x}{9}+5\right) \left(-\frac{10 x}{9}+5\right)-45 \ln \left(-\frac{10 x}{9}+5\right)+40\right)}+\frac{40 \ln \left(3\right)}{9 \ln \left(-\frac{10 x}{9}+5\right) \left(-\frac{10 x}{9}+5\right)-45 \ln \left(-\frac{10 x}{9}+5\right)+40}$&$86$\\ default&$-\frac{9 \left(225 \ln \left(-\frac{10 x}{9}+5\right)+\frac{400 x}{9}-\frac{1600}{3}-9 \ln \left(-\frac{10 x}{9}+5\right) \left(-\frac{10 x}{9}+5\right)^{2}\right)}{10 \left(9 \ln \left(-\frac{10 x}{9}+5\right) \left(-\frac{10 x}{9}+5\right)-45 \ln \left(-\frac{10 x}{9}+5\right)+40\right)}+\frac{40 \ln \left(3\right)}{9 \ln \left(-\frac{10 x}{9}+5\right) \left(-\frac{10 x}{9}+5\right)-45 \ln \left(-\frac{10 x}{9}+5\right)+40}$&$86$\\ \hline \end{longtable}"," ",0,"(4*x-x^2*ln(-10/9*x+5)-12-4*ln(3))/(ln(-10/9*x+5)*x-4)","A"
6616,1,19,20,0.245000," ","int((5*exp(x)*x+10)*exp(-ln(2/x)+1)*exp(exp(x))+10*exp(-ln(2/x)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 x^{2} {\mathrm e}}{2}+\frac{5 x^{2} {\mathrm e} \,{\mathrm e}^{{\mathrm e}^{x}}}{2}$&$19$\\ risch&$\frac{5 x^{2} {\mathrm e}^{{\mathrm e}^{x}+1}}{2}+\frac{5 x^{2} {\mathrm e}}{2}$&$19$\\ default&$\frac{5 x^{2} {\mathrm e} \,{\mathrm e}^{{\mathrm e}^{x}}}{2}+5 x^{2} {\mathrm e}^{1-\ln \left(\frac{2}{x}\right)-\ln \left(x \right)}$&$44$\\ \hline \end{longtable}"," ",0,"5/2*x^2*exp(1)+5/2*x^2*exp(1)*exp(exp(x))","A"
6617,1,15,17,0.171000," ","int((-3*x^2+x-9)/x/exp((3*x^2+6*x-9)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-\frac{3 \left(3+x \right) \left(x -1\right)}{x}}$&$15$\\ gosper&$x \,{\mathrm e}^{-\frac{3 \left(x^{2}+2 x -3\right)}{x}}$&$19$\\ norman&$x \,{\mathrm e}^{-\frac{3 x^{2}+6 x -9}{x}}$&$20$\\ \hline \end{longtable}"," ",0,"x*exp(-3*(3+x)*(x-1)/x)","A"
6618,1,23,22,0.175000," ","int((((x^2+2*x)*ln(5*x+10)-x^2)*exp(-x/(ln(5*x+10)-x))+(2+x)*ln(5*x+10)^2+(-2*x^2-4*x)*ln(5*x+10)+x^3+2*x^2)/((2+x)*ln(5*x+10)^2+(-2*x^2-4*x)*ln(5*x+10)+x^3+2*x^2)/exp(exp(-x/(ln(5*x+10)-x))-7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-{\mathrm e}^{\frac{x}{x -\ln \left(5 x +10\right)}}+7}$&$23$\\ \hline \end{longtable}"," ",0,"x*exp(-exp(x/(x-ln(5*x+10)))+7)","A"
6619,1,19,16,0.231000," ","int((-96*x^2+40)*exp((-96*x^2+8*x-40)/x)*exp(exp((-96*x^2+8*x-40)/x)+5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{{\mathrm e}^{\frac{-96 x^{2}+8 x -40}{x}}+5}$&$19$\\ risch&${\mathrm e}^{{\mathrm e}^{-\frac{8 \left(12 x^{2}-x +5\right)}{x}}+5}$&$20$\\ \hline \end{longtable}"," ",0,"exp(exp((-96*x^2+8*x-40)/x)+5)","A"
6620,0,0,24,0.018000," ","int(1/6*((-48*x+24)*ln(x^2)*ln(ln(x^2))^2+(-15*x^4+12*x^3-15*x^2)*ln(x^2)*ln(ln(x^2))+6*x^4-6*x^3+10*x^2)/ln(x^2)/ln(ln(x^2))^2,x)","\[\int \frac{\left(-48 x +24\right) \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)^{2}+\left(-15 x^{4}+12 x^{3}-15 x^{2}\right) \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)+6 x^{4}-6 x^{3}+10 x^{2}}{6 \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)^{2}}\, dx\]"," ",0,"int(1/6*((-48*x+24)*ln(x^2)*ln(ln(x^2))^2+(-15*x^4+12*x^3-15*x^2)*ln(x^2)*ln(ln(x^2))+6*x^4-6*x^3+10*x^2)/ln(x^2)/ln(ln(x^2))^2,x)","F"
6621,1,20,22,0.063000," ","int(1/5*((2*x^2-x-1)*exp(x^2-x)+x^2-x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{5}-\frac{\ln \left(x \right)}{5}+\frac{{\mathrm e}^{x \left(x -1\right)}}{5 x}$&$20$\\ norman&$\frac{\frac{x^{2}}{5}+\frac{{\mathrm e}^{x^{2}-x}}{5}}{x}-\frac{\ln \left(x \right)}{5}$&$26$\\ \hline \end{longtable}"," ",0,"1/5*x-1/5*ln(x)+1/5*exp(x*(x-1))/x","A"
6622,1,20,20,0.122000," ","int(1/9*(9*x*exp(1)*exp(x)+4*x^4-9*x-36)*exp(exp(1)*exp(x)+1/9*x^4-x+1)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{{\mathrm e}^{x +1}+\frac{x^{4}}{9}-x +1}}{x^{4}}$&$20$\\ norman&$\frac{{\mathrm e}^{{\mathrm e} \,{\mathrm e}^{x}+\frac{x^{4}}{9}-x +1}}{x^{4}}$&$21$\\ \hline \end{longtable}"," ",0,"exp(exp(x+1)+1/9*x^4-x+1)/x^4","A"
6623,0,0,27,180.000000," ","int((((640*x^4+16000*x)*ln((x^3+25)/x)+(-256*x^3+3200)*exp(x))*exp(5/exp(x))+(-64*x^5-1600*x^2)*exp(x))/((64*x^4+1600*x)*exp(x)*ln((x^3+25)/x)^3*exp(5/exp(x))^3+(48*x^6+1200*x^3)*exp(x)*ln((x^3+25)/x)^2*exp(5/exp(x))^2+(12*x^8+300*x^5)*exp(x)*ln((x^3+25)/x)*exp(5/exp(x))+(x^10+25*x^7)*exp(x)),x)","\[\int \frac{\left(\left(640 x^{4}+16000 x \right) \ln \left(\frac{x^{3}+25}{x}\right)+\left(-256 x^{3}+3200\right) {\mathrm e}^{x}\right) {\mathrm e}^{5 \,{\mathrm e}^{-x}}+\left(-64 x^{5}-1600 x^{2}\right) {\mathrm e}^{x}}{\left(64 x^{4}+1600 x \right) {\mathrm e}^{x} \ln \left(\frac{x^{3}+25}{x}\right)^{3} {\mathrm e}^{15 \,{\mathrm e}^{-x}}+\left(48 x^{6}+1200 x^{3}\right) {\mathrm e}^{x} \ln \left(\frac{x^{3}+25}{x}\right)^{2} {\mathrm e}^{10 \,{\mathrm e}^{-x}}+\left(12 x^{8}+300 x^{5}\right) {\mathrm e}^{x} \ln \left(\frac{x^{3}+25}{x}\right) {\mathrm e}^{5 \,{\mathrm e}^{-x}}+\left(x^{10}+25 x^{7}\right) {\mathrm e}^{x}}\, dx\]"," ",0,"int((((640*x^4+16000*x)*ln((x^3+25)/x)+(-256*x^3+3200)*exp(x))*exp(5/exp(x))+(-64*x^5-1600*x^2)*exp(x))/((64*x^4+1600*x)*exp(x)*ln((x^3+25)/x)^3*exp(5/exp(x))^3+(48*x^6+1200*x^3)*exp(x)*ln((x^3+25)/x)^2*exp(5/exp(x))^2+(12*x^8+300*x^5)*exp(x)*ln((x^3+25)/x)*exp(5/exp(x))+(x^10+25*x^7)*exp(x)),x)","F"
6624,1,14,18,0.079000," ","int(((-3*x^3-252*x^2)*ln(x+84)+16*x^3+1260*x^2)/((x+84)*ln(x+84)^2+(-10*x-840)*ln(x+84)+25*x+2100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x^{3}}{\ln \left(x +84\right)-5}$&$14$\\ risch&$-\frac{x^{3}}{\ln \left(x +84\right)-5}$&$14$\\ \hline \end{longtable}"," ",0,"-x^3/(ln(x+84)-5)","A"
6625,1,19,13,4.725000," ","int((256*exp(3)+752)/(256*exp(3)^2+(-2560*x+1504)*exp(3)+6400*x^2-7520*x+2209),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{47}{5}+\frac{16 \,{\mathrm e}^{3}}{5}}{16 \,{\mathrm e}^{3}-80 x +47}$&$19$\\ gosper&$\frac{16 \,{\mathrm e}^{3}+47}{80 \,{\mathrm e}^{3}-400 x +235}$&$20$\\ risch&$\frac{{\mathrm e}^{3}}{\frac{235}{16}-25 x +5 \,{\mathrm e}^{3}}+\frac{47}{80 \left(\frac{47}{16}-5 x +{\mathrm e}^{3}\right)}$&$26$\\ meijerg&$-\frac{47 x}{5 \left(-\frac{{\mathrm e}^{3}}{5}-\frac{47}{80}\right) \left(16 \,{\mathrm e}^{3}+47\right) \left(1-\frac{80 x}{16 \,{\mathrm e}^{3}+47}\right)}-\frac{16 \,{\mathrm e}^{3} x}{5 \left(-\frac{{\mathrm e}^{3}}{5}-\frac{47}{80}\right) \left(16 \,{\mathrm e}^{3}+47\right) \left(1-\frac{80 x}{16 \,{\mathrm e}^{3}+47}\right)}$&$72$\\ \hline \end{longtable}"," ",0,"(47/5+16/5*exp(3))/(16*exp(3)-80*x+47)","A"
6626,1,92,15,0.668000," ","int((-59604644775390625*x^33-381469726562500000*x^31-762939453125000000*x^30-1144409179687500000*x^29-4577636718750000000*x^28-2136230468750000000*x^27-12817382812500000000*x^26-2777099609375000000*x^25-22216796875000000000*x^24-2666015625000000000*x^23-26660156250000000000*x^22-1955078125000000000*x^21-23460937500000000000*x^20-1117187500000000000*x^19-15640625000000000000*x^18-502734375000000000*x^17-8043750000000000000*x^16-178750000000000000*x^15-3217500000000000000*x^14-50050000000000000*x^13-1001000000000000000*x^12-10920000000000000*x^11-240240000000000000*x^10-1820000000000000*x^9-43680000000000000*x^8-224000000000000*x^7-5824000000000000*x^6-19200000000000*x^5-537600000000000*x^4-1024000000000*x^3-30720000000000*x^2-25600000000*x-819200000000)/x^33/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{390625 \left(152587890625 x^{32}+976562500000 x^{30}+2929687500000 x^{28}+5468750000000 x^{26}+7109375000000 x^{24}+6825000000000 x^{22}+5005000000000 x^{20}+2860000000000 x^{18}+1287000000000 x^{16}+457600000000 x^{14}+128128000000 x^{12}+27955200000 x^{10}+4659200000 x^{8}+573440000 x^{6}+49152000 x^{4}+2621440 x^{2}+65536\right) {\mathrm e}^{-x}}{x^{32}}$&$92$\\ risch&$\frac{390625 \left(152587890625 x^{32}+976562500000 x^{30}+2929687500000 x^{28}+5468750000000 x^{26}+7109375000000 x^{24}+6825000000000 x^{22}+5005000000000 x^{20}+2860000000000 x^{18}+1287000000000 x^{16}+457600000000 x^{14}+128128000000 x^{12}+27955200000 x^{10}+4659200000 x^{8}+573440000 x^{6}+49152000 x^{4}+2621440 x^{2}+65536\right) {\mathrm e}^{-x}}{x^{32}}$&$92$\\ default&$59604644775390625 \,{\mathrm e}^{-x}+\frac{1024000000000 \,{\mathrm e}^{-x}}{x^{30}}+\frac{25600000000 \,{\mathrm e}^{-x}}{x^{32}}+\frac{2136230468750000000 \,{\mathrm e}^{-x}}{x^{6}}+\frac{2777099609375000000 \,{\mathrm e}^{-x}}{x^{8}}+\frac{2666015625000000000 \,{\mathrm e}^{-x}}{x^{10}}+\frac{1955078125000000000 \,{\mathrm e}^{-x}}{x^{12}}+\frac{1117187500000000000 \,{\mathrm e}^{-x}}{x^{14}}+\frac{502734375000000000 \,{\mathrm e}^{-x}}{x^{16}}+\frac{178750000000000000 \,{\mathrm e}^{-x}}{x^{18}}+\frac{50050000000000000 \,{\mathrm e}^{-x}}{x^{20}}+\frac{10920000000000000 \,{\mathrm e}^{-x}}{x^{22}}+\frac{1820000000000000 \,{\mathrm e}^{-x}}{x^{24}}+\frac{224000000000000 \,{\mathrm e}^{-x}}{x^{26}}+\frac{19200000000000 \,{\mathrm e}^{-x}}{x^{28}}+\frac{1144409179687500000 \,{\mathrm e}^{-x}}{x^{4}}+\frac{381469726562500000 \,{\mathrm e}^{-x}}{x^{2}}$&$152$\\ meijerg&$\text{Expression too large to display}$&$5737$\\ \hline \end{longtable}"," ",0,"390625*(152587890625*x^32+976562500000*x^30+2929687500000*x^28+5468750000000*x^26+7109375000000*x^24+6825000000000*x^22+5005000000000*x^20+2860000000000*x^18+1287000000000*x^16+457600000000*x^14+128128000000*x^12+27955200000*x^10+4659200000*x^8+573440000*x^6+49152000*x^4+2621440*x^2+65536)/exp(x)/x^32","B"
6627,1,16,12,0.082000," ","int(((2*x^2+4*x-16)*ln(x-2)^2+(2*x^2+16*x+32)*ln(x-2))/(x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}+8 x +16\right) \ln \left(x -2\right)^{2}$&$16$\\ norman&$\ln \left(x -2\right)^{2} x^{2}+16 \ln \left(x -2\right)^{2}+8 \ln \left(x -2\right)^{2} x$&$29$\\ derivativedivides&$\left(x -2\right)^{2} \ln \left(x -2\right)^{2}+12 \left(x -2\right) \ln \left(x -2\right)^{2}+36 \ln \left(x -2\right)^{2}$&$33$\\ default&$\left(x -2\right)^{2} \ln \left(x -2\right)^{2}+12 \left(x -2\right) \ln \left(x -2\right)^{2}+36 \ln \left(x -2\right)^{2}$&$33$\\ \hline \end{longtable}"," ",0,"(x^2+8*x+16)*ln(x-2)^2","A"
6628,1,28,16,0.046000," ","int(1/14*(-14*x*ln(1/x)+(-29*x-14)*ln(2)+58*x^2-98*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(\frac{1}{x}\right)-\frac{29 x \ln \left(2\right)}{14}+\frac{29 x^{2}}{14}-8 x -\ln \left(2\right) \ln \left(x \right)$&$28$\\ derivativedivides&$\ln \left(2\right) \ln \left(\frac{1}{x}\right)-\frac{29 x \ln \left(2\right)}{14}-x \ln \left(\frac{1}{x}\right)-8 x +\frac{29 x^{2}}{14}$&$29$\\ default&$\ln \left(2\right) \ln \left(\frac{1}{x}\right)-\frac{29 x \ln \left(2\right)}{14}-x \ln \left(\frac{1}{x}\right)-8 x +\frac{29 x^{2}}{14}$&$29$\\ norman&$\left(-8-\frac{29 \ln \left(2\right)}{14}\right) x +\ln \left(2\right) \ln \left(\frac{1}{x}\right)+\frac{29 x^{2}}{14}-x \ln \left(\frac{1}{x}\right)$&$29$\\ \hline \end{longtable}"," ",0,"-x*ln(1/x)-29/14*x*ln(2)+29/14*x^2-8*x-ln(2)*ln(x)","A"
6629,1,53,19,0.097000," ","int((-4*ln(5*x)-2*x+8)*exp((((3*x-12)*ln(5)-6*x+24)*ln(5*x)^2+x)/(3*x-12)/ln(5*x)^2)/(3*x^2-24*x+48)/ln(5*x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5^{\frac{x}{x -4}} \left(\frac{1}{625}\right)^{\frac{1}{x -4}} {\mathrm e}^{-\frac{6 x \ln \left(5 x \right)^{2}-24 \ln \left(5 x \right)^{2}-x}{3 \left(x -4\right) \ln \left(5 x \right)^{2}}}$&$53$\\ \hline \end{longtable}"," ",0,"5^(x/(x-4))*(1/625)^(1/(x-4))*exp(-1/3*(6*x*ln(5*x)^2-24*ln(5*x)^2-x)/(x-4)/ln(5*x)^2)","B"
6630,1,13,14,0.074000," ","int(((4+x)*exp(3+x)*ln(4+x)^8+8*ln(4+x)^7)*exp(exp(3+x))/(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(4+x \right)^{8} {\mathrm e}^{{\mathrm e}^{3+x}}$&$13$\\ \hline \end{longtable}"," ",0,"ln(4+x)^8*exp(exp(3+x))","A"
6631,1,29,25,0.137000," ","int(1/5*(((15*x^4*ln(2)+20)*exp((x^4*ln(2)-4)/x/ln(2))-5*x*ln(2))*exp(exp((x^4*ln(2)-4)/x/ln(2)))-x*ln(2))/x^3/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \,{\mathrm e}^{{\mathrm e}^{\frac{x^{4} \ln \left(2\right)-4}{x \ln \left(2\right)}}}+\frac{x}{5}}{x^{2}}$&$29$\\ risch&$\frac{1}{5 x}+\frac{{\mathrm e}^{{\mathrm e}^{\frac{x^{4} \ln \left(2\right)-4}{x \ln \left(2\right)}}}}{x}$&$29$\\ \hline \end{longtable}"," ",0,"(x*exp(exp((x^4*ln(2)-4)/x/ln(2)))+1/5*x)/x^2","A"
6632,1,46,29,0.112000," ","int((20*ln(1/x)^2+(-60*x^3+160*x^2-5)*exp(-4*x^3+16*x^2)*ln(1/x)+5*exp(-4*x^3+16*x^2))/((x^2+8*x+16)*ln(1/x)^2+(-2*x-8)*exp(-4*x^3+16*x^2)*ln(1/x)+exp(-4*x^3+16*x^2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{20}{4+x}-\frac{5 \,{\mathrm e}^{-4 \left(x -4\right) x^{2}} x}{\left(4+x \right) \left(x \ln \left(x \right)+{\mathrm e}^{-4 \left(x -4\right) x^{2}}+4 \ln \left(x \right)\right)}$&$46$\\ \hline \end{longtable}"," ",0,"-20/(4+x)-5*exp(-4*(x-4)*x^2)*x/(4+x)/(x*ln(x)+exp(-4*(x-4)*x^2)+4*ln(x))","A"
6633,0,0,31,0.192000," ","int((((ln(3)-x)*ln(2*x)+(2*exp(3)+6-6*x)*ln(3)-2*x*exp(3)+6*x^2-6*x)*ln(1/4*(ln(2*x)^2+(4*exp(3)-12*x+12)*ln(2*x)+4*exp(3)^2+(-24*x+24)*exp(3)+36*x^2-72*x+36)/x^2)+((ln(3)-x)*ln(-ln(3)+x)+2*ln(3)-x)*ln(2*x)+((2*exp(3)+6-6*x)*ln(3)-2*x*exp(3)+6*x^2-6*x)*ln(-ln(3)+x)+(4*exp(3)+10)*ln(3)-2*x*exp(3)-6*x^2-4*x)/(((ln(3)-x)*ln(2*x)+(2*exp(3)+6-6*x)*ln(3)-2*x*exp(3)+6*x^2-6*x)*ln(1/4*(ln(2*x)^2+(4*exp(3)-12*x+12)*ln(2*x)+4*exp(3)^2+(-24*x+24)*exp(3)+36*x^2-72*x+36)/x^2)^2+((2*ln(3)-2*x)*ln(-ln(3)+x)*ln(2*x)+((4*exp(3)-12*x+12)*ln(3)-4*x*exp(3)+12*x^2-12*x)*ln(-ln(3)+x))*ln(1/4*(ln(2*x)^2+(4*exp(3)-12*x+12)*ln(2*x)+4*exp(3)^2+(-24*x+24)*exp(3)+36*x^2-72*x+36)/x^2)+(ln(3)-x)*ln(-ln(3)+x)^2*ln(2*x)+((2*exp(3)+6-6*x)*ln(3)-2*x*exp(3)+6*x^2-6*x)*ln(-ln(3)+x)^2),x)","\[\int \frac{\left(\left(\ln \left(3\right)-x \right) \ln \left(2 x \right)+\left(2 \,{\mathrm e}^{3}+6-6 x \right) \ln \left(3\right)-2 x \,{\mathrm e}^{3}+6 x^{2}-6 x \right) \ln \left(\frac{\ln \left(2 x \right)^{2}+\left(4 \,{\mathrm e}^{3}-12 x +12\right) \ln \left(2 x \right)+4 \,{\mathrm e}^{6}+\left(-24 x +24\right) {\mathrm e}^{3}+36 x^{2}-72 x +36}{4 x^{2}}\right)+\left(\left(\ln \left(3\right)-x \right) \ln \left(-\ln \left(3\right)+x \right)+2 \ln \left(3\right)-x \right) \ln \left(2 x \right)+\left(\left(2 \,{\mathrm e}^{3}+6-6 x \right) \ln \left(3\right)-2 x \,{\mathrm e}^{3}+6 x^{2}-6 x \right) \ln \left(-\ln \left(3\right)+x \right)+\left(4 \,{\mathrm e}^{3}+10\right) \ln \left(3\right)-2 x \,{\mathrm e}^{3}-6 x^{2}-4 x}{\left(\left(\ln \left(3\right)-x \right) \ln \left(2 x \right)+\left(2 \,{\mathrm e}^{3}+6-6 x \right) \ln \left(3\right)-2 x \,{\mathrm e}^{3}+6 x^{2}-6 x \right) \ln \left(\frac{\ln \left(2 x \right)^{2}+\left(4 \,{\mathrm e}^{3}-12 x +12\right) \ln \left(2 x \right)+4 \,{\mathrm e}^{6}+\left(-24 x +24\right) {\mathrm e}^{3}+36 x^{2}-72 x +36}{4 x^{2}}\right)^{2}+\left(\left(2 \ln \left(3\right)-2 x \right) \ln \left(-\ln \left(3\right)+x \right) \ln \left(2 x \right)+\left(\left(4 \,{\mathrm e}^{3}-12 x +12\right) \ln \left(3\right)-4 x \,{\mathrm e}^{3}+12 x^{2}-12 x \right) \ln \left(-\ln \left(3\right)+x \right)\right) \ln \left(\frac{\ln \left(2 x \right)^{2}+\left(4 \,{\mathrm e}^{3}-12 x +12\right) \ln \left(2 x \right)+4 \,{\mathrm e}^{6}+\left(-24 x +24\right) {\mathrm e}^{3}+36 x^{2}-72 x +36}{4 x^{2}}\right)+\left(\ln \left(3\right)-x \right) \ln \left(-\ln \left(3\right)+x \right)^{2} \ln \left(2 x \right)+\left(\left(2 \,{\mathrm e}^{3}+6-6 x \right) \ln \left(3\right)-2 x \,{\mathrm e}^{3}+6 x^{2}-6 x \right) \ln \left(-\ln \left(3\right)+x \right)^{2}}\, dx\]"," ",0,"int((((ln(3)-x)*ln(2*x)+(2*exp(3)+6-6*x)*ln(3)-2*x*exp(3)+6*x^2-6*x)*ln(1/4*(ln(2*x)^2+(4*exp(3)-12*x+12)*ln(2*x)+4*exp(3)^2+(-24*x+24)*exp(3)+36*x^2-72*x+36)/x^2)+((ln(3)-x)*ln(-ln(3)+x)+2*ln(3)-x)*ln(2*x)+((2*exp(3)+6-6*x)*ln(3)-2*x*exp(3)+6*x^2-6*x)*ln(-ln(3)+x)+(4*exp(3)+10)*ln(3)-2*x*exp(3)-6*x^2-4*x)/(((ln(3)-x)*ln(2*x)+(2*exp(3)+6-6*x)*ln(3)-2*x*exp(3)+6*x^2-6*x)*ln(1/4*(ln(2*x)^2+(4*exp(3)-12*x+12)*ln(2*x)+4*exp(3)^2+(-24*x+24)*exp(3)+36*x^2-72*x+36)/x^2)^2+((2*ln(3)-2*x)*ln(-ln(3)+x)*ln(2*x)+((4*exp(3)-12*x+12)*ln(3)-4*x*exp(3)+12*x^2-12*x)*ln(-ln(3)+x))*ln(1/4*(ln(2*x)^2+(4*exp(3)-12*x+12)*ln(2*x)+4*exp(3)^2+(-24*x+24)*exp(3)+36*x^2-72*x+36)/x^2)+(ln(3)-x)*ln(-ln(3)+x)^2*ln(2*x)+((2*exp(3)+6-6*x)*ln(3)-2*x*exp(3)+6*x^2-6*x)*ln(-ln(3)+x)^2),x)","F"
6634,1,41,31,0.098000," ","int((((ln(5)+2*x-4)*ln(-ln(5)+4-2*x)+2*x)*ln(x)+(3*ln(5)+6*x-12)*ln(-ln(5)+4-2*x)-x^2+8*x)*exp(1/2*(-2*ln(x)+10*x*ln(-ln(5)+4-2*x)-8+x)/x/ln(-ln(5)+4-2*x))/(x^2*ln(5)+2*x^3-4*x^2)/ln(-ln(5)+4-2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-10 x \ln \left(-\ln \left(5\right)+4-2 x \right)+2 \ln \left(x \right)-x +8}{2 x \ln \left(-\ln \left(5\right)+4-2 x \right)}}$&$41$\\ \hline \end{longtable}"," ",0,"exp(-1/2*(-10*x*ln(-ln(5)+4-2*x)+2*ln(x)-x+8)/x/ln(-ln(5)+4-2*x))","A"
6635,1,9,8,0.017000," ","int((2*ln(x)+x)*exp(ln(x)^2+x-35)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\ln \left(x \right)^{2}+x -35}$&$9$\\ risch&${\mathrm e}^{\ln \left(x \right)^{2}+x -35}$&$9$\\ \hline \end{longtable}"," ",0,"exp(ln(x)^2+x-35)","A"
6636,1,18,19,0.065000," ","int((-3*exp(1)*exp(3/x)+x^2*exp(1))*exp(exp(1)/ln(exp(3/x)+x))/(x^2*exp(3/x)+x^3)/ln(exp(3/x)+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{{\mathrm e}}{\ln \left({\mathrm e}^{\frac{3}{x}}+x \right)}}$&$18$\\ \hline \end{longtable}"," ",0,"-exp(exp(1)/ln(exp(3/x)+x))","A"
6637,1,25,24,0.093000," ","int((((x^3+2*x^2)*exp(3)*ln(2+x)+(x^5+x^4+8*x^3+20*x^2)*exp(3))*ln(ln(2+x)+x^2-x+10)+(x^2+x-2)*exp(x)*ln(2+x)+(x^4+7*x^2+12*x-20)*exp(x)+(2*x^5+3*x^4-x^3)*exp(3))/((x^3+2*x^2)*ln(2+x)+x^5+x^4+8*x^3+20*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}}{x}+{\mathrm e}^{3} \ln \left(\ln \left(2+x \right)+x^{2}-x +10\right) x$&$25$\\ \hline \end{longtable}"," ",0,"exp(x)/x+exp(3)*ln(ln(2+x)+x^2-x+10)*x","A"
6638,1,34,27,0.211000," ","int(((50*x*ln(3)^2+x^4-12*x^3+48*x^2-64*x)*exp((25*ln(3)^2-x^3+8*x^2-16*x)/(x^2-8*x+16))+x^4-11*x^3+36*x^2-16*x-64)/(x^4-12*x^3+48*x^2-64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x \right)-{\mathrm e}^{\frac{25 \ln \left(3\right)^{2}-x^{3}+8 x^{2}-16 x}{\left(x -4\right)^{2}}}$&$34$\\ norman&$\frac{x^{3}-48 x +8 x \,{\mathrm e}^{\frac{25 \ln \left(3\right)^{2}-x^{3}+8 x^{2}-16 x}{x^{2}-8 x +16}}-{\mathrm e}^{\frac{25 \ln \left(3\right)^{2}-x^{3}+8 x^{2}-16 x}{x^{2}-8 x +16}} x^{2}-16 \,{\mathrm e}^{\frac{25 \ln \left(3\right)^{2}-x^{3}+8 x^{2}-16 x}{x^{2}-8 x +16}}+128}{\left(x -4\right)^{2}}+\ln \left(x \right)$&$124$\\ \hline \end{longtable}"," ",0,"x+ln(x)-exp((25*ln(3)^2-x^3+8*x^2-16*x)/(x-4)^2)","A"
6639,1,29,34,0.130000," ","int((4*x^6+42*x^5-54*x^4-1462*x^3+3276*x^2+1568*x)*exp((4*x^3+25*x^2-137*x)/(x^2+5*x-28))*exp(x^2*exp((4*x^3+25*x^2-137*x)/(x^2+5*x-28)))/(x^4+10*x^3-31*x^2-280*x+784),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{2} {\mathrm e}^{\frac{x \left(4 x^{2}+25 x -137\right)}{x^{2}+5 x -28}}}$&$29$\\ norman&$\frac{x^{2} {\mathrm e}^{x^{2} {\mathrm e}^{\frac{4 x^{3}+25 x^{2}-137 x}{x^{2}+5 x -28}}}+5 x \,{\mathrm e}^{x^{2} {\mathrm e}^{\frac{4 x^{3}+25 x^{2}-137 x}{x^{2}+5 x -28}}}-28 \,{\mathrm e}^{x^{2} {\mathrm e}^{\frac{4 x^{3}+25 x^{2}-137 x}{x^{2}+5 x -28}}}}{x^{2}+5 x -28}$&$115$\\ \hline \end{longtable}"," ",0,"exp(x^2*exp(x*(4*x^2+25*x-137)/(x^2+5*x-28)))","A"
6640,1,13,15,0.059000," ","int((exp(1/35)*exp(x)^2+(-10*exp(1/35)+1)*exp(x)+25*exp(1/35))/(exp(1/35)*exp(x)^2-10*exp(1/35)*exp(x)+25*exp(1/35)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{{\mathrm e}^{-\frac{1}{35}}}{{\mathrm e}^{x}-5}$&$13$\\ derivativedivides&${\mathrm e}^{-\frac{1}{35}} \left({\mathrm e}^{\frac{1}{35}} \ln \left({\mathrm e}^{x}\right)-\frac{1}{{\mathrm e}^{x}-5}\right)$&$21$\\ default&${\mathrm e}^{-\frac{1}{35}} \left({\mathrm e}^{\frac{1}{35}} \ln \left({\mathrm e}^{x}\right)-\frac{1}{{\mathrm e}^{x}-5}\right)$&$21$\\ norman&$\frac{{\mathrm e}^{x} x -5 x -{\mathrm e}^{-\frac{1}{35}}}{{\mathrm e}^{x}-5}$&$22$\\ \hline \end{longtable}"," ",0,"x-1/(exp(x)-5)*exp(-1/35)","A"
6641,1,26,29,0.092000," ","int(((-10*ln(3)*ln(5)*ln(x)-35*ln(3)*ln(5))*exp(ln(x)^2+8*ln(x)+16)-ln(3))/x^2/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 \ln \left(3\right) x^{7} {\mathrm e}^{\ln \left(x \right)^{2}+16}+\frac{\ln \left(3\right)}{\ln \left(5\right) x}$&$26$\\ norman&$\frac{\frac{\ln \left(3\right)}{\ln \left(5\right)}-5 \ln \left(3\right) {\mathrm e}^{\ln \left(x \right)^{2}+8 \ln \left(x \right)+16}}{x}$&$28$\\ default&$\frac{-\frac{5 \ln \left(3\right) \ln \left(5\right) {\mathrm e}^{\ln \left(x \right)^{2}+8 \ln \left(x \right)+16}}{x}+\frac{\ln \left(3\right)}{x}}{\ln \left(5\right)}$&$33$\\ \hline \end{longtable}"," ",0,"-5*ln(3)*x^7*exp(ln(x)^2+16)+1/ln(5)*ln(3)/x","A"
6642,1,12,17,0.049000," ","int(1/2*((2*x-2)*exp(x)-5*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{5 \ln \left(x \right)}{2}+\frac{{\mathrm e}^{x}}{x}$&$12$\\ norman&$-\frac{5 \ln \left(x \right)}{2}+\frac{{\mathrm e}^{x}}{x}$&$12$\\ risch&$-\frac{5 \ln \left(x \right)}{2}+\frac{{\mathrm e}^{x}}{x}$&$12$\\ \hline \end{longtable}"," ",0,"-5/2*ln(x)+exp(x)/x","A"
6643,1,5,5,0.021000," ","int(exp(ln(x)-7)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-7} x$&$5$\\ derivativedivides&${\mathrm e}^{\ln \left(x \right)-7}$&$6$\\ default&${\mathrm e}^{\ln \left(x \right)-7}$&$6$\\ norman&${\mathrm e}^{-7} x$&$7$\\ \hline \end{longtable}"," ",0,"exp(-7)*x","A"
6644,1,46,25,0.069000," ","int(((((4*x^3-4*x^2+10*x-10)*ln(x)-4*x^4+100*x^3-106*x^2+250*x-240)*ln(2*x^2+5)+4*x^2)*exp(ln(x)^2+(-2*x+48)*ln(x)+x^2-48*x+576)-16*x^2)/(2*x^3+5*x)/ln(2*x^2+5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{\ln \left(2 x^{2}+5\right)}-\frac{x^{-2 x +48} {\mathrm e}^{\ln \left(x \right)^{2}+576+x^{2}-48 x}}{\ln \left(2 x^{2}+5\right)}$&$46$\\ \hline \end{longtable}"," ",0,"4/ln(2*x^2+5)-1/ln(2*x^2+5)*x^(-2*x+48)*exp(ln(x)^2+576+x^2-48*x)","A"
6645,1,20,25,0.018000," ","int(1/3*((-x^2+4*x-4)*exp(x)+24*x^2-8)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$8 x +\frac{8}{3 x}-\frac{\left(x -4\right) {\mathrm e}^{x}}{3 x}$&$20$\\ default&$8 x +\frac{8}{3 x}+\frac{4 \,{\mathrm e}^{x}}{3 x}-\frac{{\mathrm e}^{x}}{3}$&$21$\\ norman&$\frac{\frac{8}{3}+8 x^{2}-\frac{{\mathrm e}^{x} x}{3}+\frac{4 \,{\mathrm e}^{x}}{3}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"8*x+8/3/x-1/3*(x-4)/x*exp(x)","A"
6646,1,19,19,0.093000," ","int((8*x*exp((2*x+10)/(x+1))-5*x^2-10*x-5)/(x^3+2*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 \ln \left(x \right)-{\mathrm e}^{\frac{2 x +10}{x +1}}$&$19$\\ derivativedivides&$-5 \ln \left(-8+\frac{8}{x +1}\right)+5 \ln \left(\frac{8}{x +1}\right)-{\mathrm e}^{2+\frac{8}{x +1}}$&$36$\\ default&$-5 \ln \left(-8+\frac{8}{x +1}\right)+5 \ln \left(\frac{8}{x +1}\right)-{\mathrm e}^{2+\frac{8}{x +1}}$&$36$\\ norman&$\frac{-x \,{\mathrm e}^{\frac{2 x +10}{x +1}}-{\mathrm e}^{\frac{2 x +10}{x +1}}}{x +1}-5 \ln \left(x \right)$&$42$\\ \hline \end{longtable}"," ",0,"-5*ln(x)-exp(2*(5+x)/(x+1))","A"
6647,1,67,39,1.429000," ","int((((-250*x^4+125*x^3-1000*x^2+500*x)*exp(4)^2+(500*x^5-250*x^4+2000*x^3-1000*x^2)*exp(4)+250*x^7-375*x^6+3125*x^5-2500*x^4+12500*x^3-6000*x^2+16000*x-8000)*ln((-x^2*exp(4)^2+2*x^3*exp(4)+x^5-x^4+8*x^3+16*x)/(x^4+8*x^2+16))^2+((150*x^4-75*x^3+600*x^2-300*x)*exp(4)^2+(-300*x^5+150*x^4-1200*x^3+600*x^2)*exp(4)-150*x^7+225*x^6-1875*x^5+1500*x^4-7500*x^3+3600*x^2-9600*x+4800)*ln((-x^2*exp(4)^2+2*x^3*exp(4)+x^5-x^4+8*x^3+16*x)/(x^4+8*x^2+16))+(-150*x^4+150*x^3+600*x^2-600*x)*exp(4)^2+(150*x^5-150*x^4-1800*x^3+1800*x^2)*exp(4)-75*x^7+75*x^6-900*x^5+2100*x^4-4800*x^3+3600*x^2-4800*x+4800)/(((25*x^3+100*x)*exp(4)^2+(-50*x^4-200*x^2)*exp(4)-25*x^6+25*x^5-300*x^4+100*x^3-1200*x^2-1600)*ln((-x^2*exp(4)^2+2*x^3*exp(4)+x^5-x^4+8*x^3+16*x)/(x^4+8*x^2+16))^2+((-30*x^3-120*x)*exp(4)^2+(60*x^4+240*x^2)*exp(4)+30*x^6-30*x^5+360*x^4-120*x^3+1440*x^2+1920)*ln((-x^2*exp(4)^2+2*x^3*exp(4)+x^5-x^4+8*x^3+16*x)/(x^4+8*x^2+16))+(9*x^3+36*x)*exp(4)^2+(-18*x^4-72*x^2)*exp(4)-9*x^6+9*x^5-108*x^4+36*x^3-432*x^2-576),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x^{2}+5 x -\frac{15 x \left(x -1\right)}{5 \ln \left(\frac{-x^{2} {\mathrm e}^{8}+2 x^{3} {\mathrm e}^{4}+x^{5}-x^{4}+8 x^{3}+16 x}{x^{4}+8 x^{2}+16}\right)-3}$&$67$\\ norman&$\frac{25 x \ln \left(\frac{-x^{2} {\mathrm e}^{8}+2 x^{3} {\mathrm e}^{4}+x^{5}-x^{4}+8 x^{3}+16 x}{x^{4}+8 x^{2}+16}\right)-25 x^{2} \ln \left(\frac{-x^{2} {\mathrm e}^{8}+2 x^{3} {\mathrm e}^{4}+x^{5}-x^{4}+8 x^{3}+16 x}{x^{4}+8 x^{2}+16}\right)}{5 \ln \left(\frac{-x^{2} {\mathrm e}^{8}+2 x^{3} {\mathrm e}^{4}+x^{5}-x^{4}+8 x^{3}+16 x}{x^{4}+8 x^{2}+16}\right)-3}$&$158$\\ \hline \end{longtable}"," ",0,"-5*x^2+5*x-15*x*(x-1)/(5*ln((-x^2*exp(8)+2*x^3*exp(4)+x^5-x^4+8*x^3+16*x)/(x^4+8*x^2+16))-3)","A"
6648,1,13,18,0.022000," ","int(1/3*(2*x^2+1)*exp(x^2)+2*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+x +\frac{{\mathrm e}^{x^{2}} x}{3}$&$13$\\ norman&$x^{2}+x +\frac{{\mathrm e}^{x^{2}} x}{3}$&$13$\\ risch&$x^{2}+x +\frac{{\mathrm e}^{x^{2}} x}{3}$&$13$\\ \hline \end{longtable}"," ",0,"x^2+x+1/3*exp(x^2)*x","A"
6649,1,16,19,0.081000," ","int((3*x-2)*exp(3)^2/(4*x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{6} \left(2 \ln \left(x \right)+\ln \left(x -1\right)\right)}{4}$&$16$\\ risch&$\frac{{\mathrm e}^{6} \ln \left(x \right)}{2}+\frac{{\mathrm e}^{6} \ln \left(x -1\right)}{4}$&$16$\\ norman&$\frac{{\mathrm e}^{6} \ln \left(x \right)}{2}+\frac{{\mathrm e}^{6} \ln \left(x -1\right)}{4}$&$20$\\ meijerg&$\frac{{\mathrm e}^{6} \left(\ln \left(x \right)+i \pi -\ln \left(1-x \right)\right)}{2}+\frac{3 \,{\mathrm e}^{6} \ln \left(1-x \right)}{4}$&$31$\\ \hline \end{longtable}"," ",0,"1/4*exp(3)^2*(2*ln(x)+ln(x-1))","A"
6650,1,33,29,0.104000," ","int(((100*x^3+600*x^2+3125*x+3750)*exp((2*x-3)/x)^2-8*x^4)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x^{2}+\frac{25 \left(4 x^{2}+25 x +25\right) {\mathrm e}^{\frac{4 x -6}{x}}}{x}$&$33$\\ derivativedivides&$\frac{3125 \,{\mathrm e}^{-\frac{6}{x}+4}}{3}-4 x^{2}-\frac{625 \,{\mathrm e}^{-\frac{6}{x}+4} \left(-\frac{3}{x}+2\right)}{3}+100 \,{\mathrm e}^{-\frac{6}{x}+4} x$&$51$\\ default&$\frac{3125 \,{\mathrm e}^{-\frac{6}{x}+4}}{3}-4 x^{2}-\frac{625 \,{\mathrm e}^{-\frac{6}{x}+4} \left(-\frac{3}{x}+2\right)}{3}+100 \,{\mathrm e}^{-\frac{6}{x}+4} x$&$51$\\ norman&$\frac{-4 x^{4}+625 \,{\mathrm e}^{\frac{4 x -6}{x}} x +625 \,{\mathrm e}^{\frac{4 x -6}{x}} x^{2}+100 \,{\mathrm e}^{\frac{4 x -6}{x}} x^{3}}{x^{2}}$&$60$\\ \hline \end{longtable}"," ",0,"-4*x^2+25*(4*x^2+25*x+25)/x*exp(2*(2*x-3)/x)","A"
6651,1,18,18,0.105000," ","int((6*x^7-24*x^6-2*x^3+8*x^2+4)/(x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{6}-x^{2}-\ln \left(x \right)+\ln \left(x -4\right)$&$18$\\ norman&$x^{6}-x^{2}-\ln \left(x \right)+\ln \left(x -4\right)$&$18$\\ risch&$x^{6}-x^{2}-\ln \left(x \right)+\ln \left(x -4\right)$&$18$\\ meijerg&$-\ln \left(x \right)+2 \ln \left(2\right)-i \pi +\ln \left(-\frac{x}{4}+1\right)+\frac{512 x \left(\frac{35}{512} x^{5}+\frac{21}{64} x^{4}+\frac{105}{64} x^{3}+\frac{35}{4} x^{2}+\frac{105}{2} x +420\right)}{35}-\frac{512 x \left(\frac{3}{64} x^{4}+\frac{15}{64} x^{3}+\frac{5}{4} x^{2}+\frac{15}{2} x +60\right)}{5}-\frac{4 x \left(\frac{3 x}{4}+6\right)}{3}+8 x$&$82$\\ \hline \end{longtable}"," ",0,"x^6-x^2-ln(x)+ln(x-4)","A"
6652,1,19,19,0.076000," ","int(((30*x^3-35*x^2+10*x)*ln(1/2*(-3*x+2)/x)-20)/(3*x^2-2*x)/ln(1/2*(-3*x+2)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-10 \ln \left(\ln \left(\frac{1}{x}-\frac{3}{2}\right)\right)-5 x +5 x^{2}$&$19$\\ default&$-10 \ln \left(\ln \left(\frac{1}{x}-\frac{3}{2}\right)\right)-5 x +5 x^{2}$&$19$\\ norman&$-5 x +5 x^{2}-10 \ln \left(\ln \left(\frac{-3 x +2}{2 x}\right)\right)$&$24$\\ risch&$-5 x +5 x^{2}-10 \ln \left(\ln \left(\frac{-3 x +2}{2 x}\right)\right)$&$24$\\ \hline \end{longtable}"," ",0,"-10*ln(ln(1/x-3/2))-5*x+5*x^2","A"
6653,1,30,22,0.064000," ","int((x^2*ln(1/5*exp(exp(x)))+exp(x)*x^3+exp(9)+5*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left({\mathrm e}^{{\mathrm e}^{x}}\right)-\frac{2 x^{2} \ln \left(5\right)-10 x^{2}+2 \,{\mathrm e}^{9}}{2 x}$&$30$\\ default&$5 x -\frac{{\mathrm e}^{9}}{x}+{\mathrm e}^{x} x +\ln \left({\mathrm e}^{x}\right) \ln \left(\frac{{\mathrm e}^{{\mathrm e}^{x}}}{5}\right)-{\mathrm e}^{x} \ln \left({\mathrm e}^{x}\right)$&$33$\\ \hline \end{longtable}"," ",0,"x*ln(exp(exp(x)))-1/2*(2*x^2*ln(5)-10*x^2+2*exp(9))/x","A"
6654,1,45,22,0.199000," ","int((((2*x+2)*ln(x)^2-10*x-10)*ln((-exp(25)*ln(x)^2+5*exp(25))/x)+(-x-2)*ln(x)^2+(2*x+4)*ln(x)+5*x+10)/(ln(x)^2-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2} \ln \left(\frac{-{\mathrm e}^{25} \ln \left(x \right)^{2}+5 \,{\mathrm e}^{25}}{x}\right)+2 x \ln \left(\frac{-{\mathrm e}^{25} \ln \left(x \right)^{2}+5 \,{\mathrm e}^{25}}{x}\right)$&$45$\\ risch&$\left(x^{2}+2 x \right) \ln \left(\ln \left(x \right)^{2}-5\right)-x^{2} \ln \left(x \right)-2 x \ln \left(x \right)-i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)^{2}-5\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)^{2}-5\right)}{x}\right)+i \pi  \,x^{2}+2 i \pi  x +i \pi  x \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)^{2}-5\right)}{x}\right)^{3}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)^{2}-5\right)}{x}\right)^{3}}{2}-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)^{2}-5\right)}{x}\right)^{2}+i \pi  x \,\mathrm{csgn}\left(i \left(\ln \left(x \right)^{2}-5\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)^{2}-5\right)}{x}\right)^{2}-2 i \pi  x \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)^{2}-5\right)}{x}\right)^{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)^{2}-5\right)}{x}\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)^{2}-5\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)^{2}-5\right)}{x}\right)^{2}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)^{2}-5\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)^{2}-5\right)}{x}\right)}{2}+i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)^{2}-5\right)}{x}\right)^{2}+25 x^{2}+50 x$&$323$\\ \hline \end{longtable}"," ",0,"x^2*ln((-exp(25)*ln(x)^2+5*exp(25))/x)+2*x*ln((-exp(25)*ln(x)^2+5*exp(25))/x)","A"
6655,1,6,17,0.010000," ","int(-2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x^{2}$&$6$\\ default&$-x^{2}$&$6$\\ norman&$-x^{2}$&$6$\\ risch&$-x^{2}$&$6$\\ \hline \end{longtable}"," ",0,"-x^2","A"
6656,1,1449,34,1.072000," ","int((((((-x^3+5*x)*exp(x)+2*x^4-10*x^2)*ln(x)^2+((-2*x^4+x^3+10*x^2)*exp(x)+4*x^5-2*x^4-20*x^3)*ln(x)+(-x^5+x^4+5*x^3)*exp(x)+2*x^6-2*x^5-10*x^4)*ln(x^2)+((2*x^2-10)*exp(x)-2*x^4+10*x^2)*ln(x)^2+((4*x^3-2*x^2-20*x)*exp(x)-4*x^5+2*x^4+20*x^3)*ln(x)+(2*x^4-2*x^3-10*x^2)*exp(x)-2*x^6+2*x^5+10*x^4)*ln(((-x^2+5)*ln(x)-x^3+x^2+5*x)/(x+ln(x)))+(((-5*x^3+2*x^2+25*x)*exp(x)+8*x^4-50*x^2)*ln(x)^2+((-10*x^4+9*x^3+48*x^2)*exp(x)+16*x^5-8*x^4-100*x^3)*ln(x)+(-5*x^5+7*x^4+24*x^3+x^2)*exp(x)+8*x^6-9*x^5-51*x^4)*ln(x^2)+((10*x^2-50)*exp(x)-10*x^4+50*x^2)*ln(x)^2+((20*x^3-10*x^2-100*x)*exp(x)-20*x^5+10*x^4+100*x^3)*ln(x)+(10*x^4-10*x^3-50*x^2)*exp(x)-10*x^6+10*x^5+50*x^4)/(((x^3-5*x)*exp(x)^2+(-2*x^5+10*x^3)*exp(x)+x^7-5*x^5)*ln(x)^2+((2*x^4-x^3-10*x^2)*exp(x)^2+(-4*x^6+2*x^5+20*x^4)*exp(x)+2*x^8-x^7-10*x^6)*ln(x)+(x^5-x^4-5*x^3)*exp(x)^2+(-2*x^7+2*x^6+10*x^5)*exp(x)+x^9-x^8-5*x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 \ln \left(x \right)\right) \ln \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{2 \left(-{\mathrm e}^{x}+x^{2}\right)}+\frac{-40 \ln \left(x \right)-4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{2}-2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} \ln \left(x +\ln \left(x \right)\right)-4 i \pi  \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{3} \ln \left(x \right)+10 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-20 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+8 i \pi  \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{2} \ln \left(x \right)-\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{3}+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{3}-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(\frac{i}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{2}-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{2}+8 \ln \left(x \right) \ln \left(x +\ln \left(x \right)\right)+10 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-8 i \pi  \ln \left(x \right)-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{3}+2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)-2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(\frac{i}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)+4 i \pi  \,\mathrm{csgn}\left(\frac{i}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right) \ln \left(x \right)+\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(\frac{i}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{2}-\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(\frac{i}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{2}-\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{2}-4 i \pi  \,\mathrm{csgn}\left(\frac{i}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{2} \ln \left(x \right)-4 i \pi  \,\mathrm{csgn}\left(i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+\left(\ln \left(x \right)-1\right) x^{2}-5 x -5 \ln \left(x \right)\right)}{x +\ln \left(x \right)}\right)^{2} \ln \left(x \right)+4 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \ln \left(x +\ln \left(x \right)\right)-2 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \ln \left(x +\ln \left(x \right)\right)-2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}}{-4 \,{\mathrm e}^{x}+4 x^{2}}$&$1449$\\ \hline \end{longtable}"," ",0,"-1/2*(-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3+4*ln(x))/(-exp(x)+x^2)*ln(x^3+(ln(x)-1)*x^2-5*x-5*ln(x))+1/4*(-40*ln(x)+10*I*Pi*csgn(I*x)^2*csgn(I*x^2)-20*I*Pi*csgn(I*x)*csgn(I*x^2)^2+8*I*Pi*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^2*ln(x)-Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^3+2*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^3-Pi^2*csgn(I*x^2)^3*csgn(I/(x+ln(x)))*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^2-Pi^2*csgn(I*x^2)^3*csgn(I*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^2-4*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^2+2*Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^2-2*I*Pi*csgn(I*x^2)^3*ln(x+ln(x))-8*I*Pi*ln(x)+8*ln(x)*ln(x+ln(x))+Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I/(x+ln(x)))*csgn(I*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))-2*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I/(x+ln(x)))*csgn(I*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))+4*I*Pi*csgn(I/(x+ln(x)))*csgn(I*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))*ln(x)-Pi^2*csgn(I*x^2)^3*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^3+Pi^2*csgn(I*x^2)^3*csgn(I/(x+ln(x)))*csgn(I*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))+2*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^2-Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I/(x+ln(x)))*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^2+2*Pi^2*csgn(I*x)*csgn(I*x^2)^2*csgn(I/(x+ln(x)))*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^2-Pi^2*csgn(I*x)^2*csgn(I*x^2)*csgn(I*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^2-4*I*Pi*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^3*ln(x)-4*I*Pi*csgn(I/(x+ln(x)))*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^2*ln(x)-4*I*Pi*csgn(I*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^2*ln(x)+4*I*Pi*csgn(I*x)*csgn(I*x^2)^2*ln(x+ln(x))-2*I*Pi*csgn(I*x)^2*csgn(I*x^2)*ln(x+ln(x))+10*I*Pi*csgn(I*x^2)^3+2*Pi^2*csgn(I*x^2)^3*csgn(I/(x+ln(x))*(x^3+(ln(x)-1)*x^2-5*x-5*ln(x)))^2-2*Pi^2*csgn(I*x)^2*csgn(I*x^2)+4*Pi^2*csgn(I*x)*csgn(I*x^2)^2-2*Pi^2*csgn(I*x^2)^3)/(-exp(x)+x^2)","C"
6657,1,26,25,0.044000," ","int(((3*exp(256)+18*x^3-9*x-27)*ln(1/3*exp(256)+2*x^3-x-3)+(-3*exp(256)-18*x^3+9*x+27)*ln(x)+3*exp(256)-36*x^3-27)/((exp(256)+6*x^3-3*x-9)*ln(1/3*exp(256)+2*x^3-x-3)^2+(-2*exp(256)-12*x^3+6*x+18)*ln(x)*ln(1/3*exp(256)+2*x^3-x-3)+(exp(256)+6*x^3-3*x-9)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 x}{\ln \left(x \right)-\ln \left(\frac{{\mathrm e}^{256}}{3}+2 x^{3}-x -3\right)}$&$26$\\ \hline \end{longtable}"," ",0,"-3*x/(ln(x)-ln(1/3*exp(256)+2*x^3-x-3))","A"
6658,1,109,30,0.389000," ","int(((2*x^4*exp(x)^3-6*exp(x)^2*x^4+6*exp(x)*x^4-2*x^4)*ln(5/4/ln(5))^2+(20*exp(x)^2*x^3-20*exp(x)*x^3)*ln(5/4/ln(5))-200*exp(x)^3+(-200*x+200)*exp(x)^2)/(x^3*exp(x)^3-3*exp(x)^2*x^3+3*exp(x)*x^3-x^3)/ln(5/4/ln(5))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{20 x^{2}+\left(\ln \left(5\right)-2 \ln \left(2\right)-\ln \left(\ln \left(5\right)\right)\right) x^{4}-20 \,{\mathrm e}^{x} x^{2}+\left(4 \ln \left(2\right)-2 \ln \left(5\right)+2 \ln \left(\ln \left(5\right)\right)\right) x^{4} {\mathrm e}^{x}+\left(\ln \left(5\right)-2 \ln \left(2\right)-\ln \left(\ln \left(5\right)\right)\right) x^{4} {\mathrm e}^{2 x}-\frac{100 \,{\mathrm e}^{2 x}}{2 \ln \left(2\right)-\ln \left(5\right)+\ln \left(\ln \left(5\right)\right)}}{x^{2} \left({\mathrm e}^{x}-1\right)^{2} \ln \left(\frac{5}{4 \ln \left(5\right)}\right)}$&$109$\\ risch&$\frac{4 x^{2} \ln \left(2\right)^{2}}{\left(\ln \left(5\right)-2 \ln \left(2\right)-\ln \left(\ln \left(5\right)\right)\right)^{2}}-\frac{4 x^{2} \ln \left(2\right) \ln \left(5\right)}{\left(\ln \left(5\right)-2 \ln \left(2\right)-\ln \left(\ln \left(5\right)\right)\right)^{2}}+\frac{4 x^{2} \ln \left(2\right) \ln \left(\ln \left(5\right)\right)}{\left(\ln \left(5\right)-2 \ln \left(2\right)-\ln \left(\ln \left(5\right)\right)\right)^{2}}+\frac{x^{2} \ln \left(5\right)^{2}}{\left(\ln \left(5\right)-2 \ln \left(2\right)-\ln \left(\ln \left(5\right)\right)\right)^{2}}-\frac{2 x^{2} \ln \left(5\right) \ln \left(\ln \left(5\right)\right)}{\left(\ln \left(5\right)-2 \ln \left(2\right)-\ln \left(\ln \left(5\right)\right)\right)^{2}}+\frac{x^{2} \ln \left(\ln \left(5\right)\right)^{2}}{\left(\ln \left(5\right)-2 \ln \left(2\right)-\ln \left(\ln \left(5\right)\right)\right)^{2}}+\frac{100}{\left(\ln \left(5\right)-2 \ln \left(2\right)-\ln \left(\ln \left(5\right)\right)\right)^{2} x^{2}}+\frac{40 x^{2} \ln \left(2\right) {\mathrm e}^{x}-20 x^{2} \ln \left(5\right) {\mathrm e}^{x}+20 \ln \left(\ln \left(5\right)\right) x^{2} {\mathrm e}^{x}-40 x^{2} \ln \left(2\right)+20 x^{2} \ln \left(5\right)-20 \ln \left(\ln \left(5\right)\right) x^{2}+200 \,{\mathrm e}^{x}-100}{\left(\ln \left(5\right)-2 \ln \left(2\right)-\ln \left(\ln \left(5\right)\right)\right)^{2} x^{2} \left({\mathrm e}^{x}-1\right)^{2}}$&$239$\\ \hline \end{longtable}"," ",0,"(20*x^2+(ln(5)-2*ln(2)-ln(ln(5)))*x^4-20*exp(x)*x^2+(4*ln(2)-2*ln(5)+2*ln(ln(5)))*x^4*exp(x)+(ln(5)-2*ln(2)-ln(ln(5)))*x^4*exp(x)^2-100/(2*ln(2)-ln(5)+ln(ln(5)))*exp(x)^2)/x^2/(exp(x)-1)^2/ln(5/4/ln(5))","B"
6659,1,23,26,0.110000," ","int(((2*x^5-4*x^4+2*x^3)*exp(x^2)-x^4+2*x^3-29*x^2+40*x-20)/(x^4-2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{28 x -20}{x \left(x -1\right)}+{\mathrm e}^{x^{2}}$&$23$\\ norman&$\frac{-20+x^{2} {\mathrm e}^{x^{2}}+29 x -x^{3}-{\mathrm e}^{x^{2}} x}{x \left(x -1\right)}$&$35$\\ \hline \end{longtable}"," ",0,"-x+(28*x-20)/x/(x-1)+exp(x^2)","A"
6660,1,62,28,0.498000," ","int(((5*x^2-4)*ln(2)^4+(-160*x^7+160*x^6+128*x^5-320*x^4)*ln(2)^2+1280*x^12-2560*x^11+256*x^10)*exp(((5*x^2-405*x+4)*ln(2)^2-80*x^7+6560*x^6-6544*x^5)/(5*x*ln(2)^2-80*x^6+80*x^5))/(5*x^2*ln(2)^4+(-160*x^7+160*x^6)*ln(2)^2+1280*x^12-2560*x^11+1280*x^10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{-80 x^{7}+6560 x^{6}-6544 x^{5}+5 x^{2} \ln \left(2\right)^{2}-405 x \ln \left(2\right)^{2}+4 \ln \left(2\right)^{2}}{5 x \left(-16 x^{5}+16 x^{4}+\ln \left(2\right)^{2}\right)}}$&$62$\\ risch&${\mathrm e}^{\frac{-80 x^{7}+6560 x^{6}-6544 x^{5}+5 x^{2} \ln \left(2\right)^{2}-405 x \ln \left(2\right)^{2}+4 \ln \left(2\right)^{2}}{5 x \left(-16 x^{5}+16 x^{4}+\ln \left(2\right)^{2}\right)}}$&$62$\\ norman&$\frac{x \ln \left(2\right)^{2} {\mathrm e}^{\frac{\left(5 x^{2}-405 x +4\right) \ln \left(2\right)^{2}-80 x^{7}+6560 x^{6}-6544 x^{5}}{5 x \ln \left(2\right)^{2}-80 x^{6}+80 x^{5}}}+16 x^{5} {\mathrm e}^{\frac{\left(5 x^{2}-405 x +4\right) \ln \left(2\right)^{2}-80 x^{7}+6560 x^{6}-6544 x^{5}}{5 x \ln \left(2\right)^{2}-80 x^{6}+80 x^{5}}}-16 x^{6} {\mathrm e}^{\frac{\left(5 x^{2}-405 x +4\right) \ln \left(2\right)^{2}-80 x^{7}+6560 x^{6}-6544 x^{5}}{5 x \ln \left(2\right)^{2}-80 x^{6}+80 x^{5}}}}{x \left(-16 x^{5}+16 x^{4}+\ln \left(2\right)^{2}\right)}$&$198$\\ \hline \end{longtable}"," ",0,"exp(1/5*(-80*x^7+6560*x^6-6544*x^5+5*x^2*ln(2)^2-405*x*ln(2)^2+4*ln(2)^2)/x/(-16*x^5+16*x^4+ln(2)^2))","B"
6661,1,20,22,0.027000," ","int((30*x^7*exp(x^6)-5*x^2+10*x+15)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-5 x -\frac{15}{x}+10 \ln \left(x \right)+5 \,{\mathrm e}^{x^{6}}$&$20$\\ risch&$-5 x -\frac{15}{x}+10 \ln \left(x \right)+5 \,{\mathrm e}^{x^{6}}$&$20$\\ norman&$\frac{-15-5 x^{2}+5 x \,{\mathrm e}^{x^{6}}}{x}+10 \ln \left(x \right)$&$24$\\ \hline \end{longtable}"," ",0,"-5*x-15/x+10*ln(x)+5*exp(x^6)","A"
6662,1,25,23,0.031000," ","int(((x^3+x^2)*exp(3+x)+(4*x^2+2)*exp(-x^2+4)-13)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{13+x^{2} {\mathrm e}^{3+x}-2 \,{\mathrm e}^{-x^{2}+4}}{x}$&$25$\\ risch&$\frac{13}{x}+{\mathrm e}^{3+x} x -\frac{2 \,{\mathrm e}^{-\left(x -2\right) \left(2+x \right)}}{x}$&$27$\\ default&${\mathrm e}^{x} {\mathrm e}^{3}+{\mathrm e}^{3} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+\frac{13}{x}+2 \,{\mathrm e}^{4} \sqrt{\pi}\, \erf \left(x \right)+2 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{-x^{2}}}{x}-\sqrt{\pi}\, \erf \left(x \right)\right)$&$56$\\ \hline \end{longtable}"," ",0,"(13+x^2*exp(3+x)-2*exp(-x^2+4))/x","A"
6663,1,17,19,0.037000," ","int(1/8*(-5*x^4+32*x+24)*exp(-1/8*x^5+2*x^2+3*x)+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+{\mathrm e}^{-\frac{x \left(x^{4}-16 x -24\right)}{8}}$&$17$\\ default&$x^{2}+{\mathrm e}^{-\frac{1}{8} x^{5}+2 x^{2}+3 x}$&$20$\\ norman&$x^{2}+{\mathrm e}^{-\frac{1}{8} x^{5}+2 x^{2}+3 x}$&$20$\\ \hline \end{longtable}"," ",0,"x^2+exp(-1/8*x*(x^4-16*x-24))","A"
6664,1,114,25,0.146000," ","int(1/2*((128*x^2*exp(x^2)^2+(-32*x^3-16*x)*exp(x^2)+4*x^2)*ln(x^2)^2+(128*exp(x^2)^2-64*exp(x^2)*x+8*x^2)*ln(x^2)+2+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)+\frac{x}{2}+64 \,{\mathrm e}^{2 x^{2}} \ln \left(x \right)^{2}+64 \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right) {\mathrm e}^{2 x^{2}} \ln \left(x \right)+16 \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right)^{2} {\mathrm e}^{2 x^{2}}-32 x \,{\mathrm e}^{x^{2}} \ln \left(x \right)^{2}-8 \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right)^{2} x \,{\mathrm e}^{x^{2}}-32 \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right) x \,{\mathrm e}^{x^{2}} \ln \left(x \right)+x^{2} \ln \left(x^{2}\right)^{2}$&$114$\\ risch&$\frac{\left(128 \,{\mathrm e}^{2 x^{2}}-64 \,{\mathrm e}^{x^{2}} x +8 x^{2}\right) \ln \left(x \right)^{2}}{2}-2 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(x^{2} \mathrm{csgn}\left(i x \right)^{2}-2 x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)+x^{2} \mathrm{csgn}\left(i x^{2}\right)^{2}-8 x \mathrm{csgn}\left(i x \right)^{2} {\mathrm e}^{x^{2}}+16 x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x^{2}}-8 x \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x^{2}}+16 \mathrm{csgn}\left(i x \right)^{2} {\mathrm e}^{2 x^{2}}-32 \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{2 x^{2}}+16 \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{2 x^{2}}\right) \ln \left(x \right)-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}}{4}+\pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-\frac{3 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}}{2}+\pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}}{4}+\frac{x}{2}+\ln \left(x \right)-4 \pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{2 x^{2}}+16 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{2 x^{2}}-24 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} {\mathrm e}^{2 x^{2}}+16 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5} {\mathrm e}^{2 x^{2}}-4 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6} {\mathrm e}^{2 x^{2}}+2 \pi^{2} x \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x^{2}}-8 \pi^{2} x \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x^{2}}+12 \pi^{2} x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} {\mathrm e}^{x^{2}}-8 \pi^{2} x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5} {\mathrm e}^{x^{2}}+2 \pi^{2} x \mathrm{csgn}\left(i x^{2}\right)^{6} {\mathrm e}^{x^{2}}$&$546$\\ \hline \end{longtable}"," ",0,"ln(x)+1/2*x+64*exp(2*x^2)*ln(x)^2+64*(ln(x^2)-2*ln(x))*exp(2*x^2)*ln(x)+16*(ln(x^2)-2*ln(x))^2*exp(2*x^2)-32*x*exp(x^2)*ln(x)^2-8*(ln(x^2)-2*ln(x))^2*x*exp(x^2)-32*(ln(x^2)-2*ln(x))*x*exp(x^2)*ln(x)+x^2*ln(x^2)^2","B"
6665,1,12,13,0.130000," ","int(5/(128*ln(2)^2+4*(-32*x+32)*ln(2)+32*x^2-64*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{5}{32 \left(-2 \ln \left(2\right)+x -1\right)}$&$12$\\ risch&$\frac{5}{64 \left(\ln \left(2\right)-\frac{x}{2}+\frac{1}{2}\right)}$&$12$\\ gosper&$\frac{5}{32 \left(2 \ln \left(2\right)-x +1\right)}$&$14$\\ norman&$\frac{5}{32 \left(2 \ln \left(2\right)-x +1\right)}$&$14$\\ meijerg&$-\frac{5 x}{32 \left(-1-2 \ln \left(2\right)\right) \left(1-\frac{x}{1+2 \ln \left(2\right)}\right) \left(1+2 \ln \left(2\right)\right)}$&$35$\\ \hline \end{longtable}"," ",0,"-5/32/(-2*ln(2)+x-1)","A"
6666,1,29,20,0.116000," ","int(((x-4)*exp(exp(1/4))+3*x^3-2*x^2-4*x)/((x^2*exp(exp(1/4))+x^4+x^3)*ln(1/2*x*exp(exp(1/4))+1/2*x^3+1/2*x^2)+(4*x^2+4*x)*exp(exp(1/4))+4*x^4+8*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\frac{x \,{\mathrm e}^{{\mathrm e}^{\frac{1}{4}}}}{2}+\frac{x^{3}}{2}+\frac{x^{2}}{2}\right)+\frac{4 x +4}{x}\right)$&$29$\\ norman&$-\ln \left(x \right)+\ln \left(x \ln \left(\frac{x \,{\mathrm e}^{{\mathrm e}^{\frac{1}{4}}}}{2}+\frac{x^{3}}{2}+\frac{x^{2}}{2}\right)+4 x +4\right)$&$32$\\ \hline \end{longtable}"," ",0,"ln(ln(1/2*x*exp(exp(1/4))+1/2*x^3+1/2*x^2)+4*(x+1)/x)","A"
6667,1,40,29,0.025000," ","int(((6*x^2+12*x)*ln(x)^3+(80*x^3+72*x^2)*ln(x)^2+(250*x^4+460*x^3+192*x^2)*ln(x)-100*x^4-240*x^3-144*x^2)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{3}+6 x^{2}+\frac{2 x^{3} \left(25 x^{2}+10 x \ln \left(x \right)+60 x +12 \ln \left(x \right)+36\right)}{\ln \left(x \right)^{2}}$&$40$\\ norman&$\frac{72 x^{3}+120 x^{4}+50 x^{5}+6 x^{2} \ln \left(x \right)^{2}+24 x^{3} \ln \left(x \right)+2 x^{3} \ln \left(x \right)^{2}+20 x^{4} \ln \left(x \right)}{\ln \left(x \right)^{2}}$&$54$\\ default&$2 x^{3}+6 x^{2}+\frac{20 x^{4}}{\ln \left(x \right)}+\frac{50 x^{5}}{\ln \left(x \right)^{2}}+\frac{24 x^{3}}{\ln \left(x \right)}+\frac{120 x^{4}}{\ln \left(x \right)^{2}}+\frac{72 x^{3}}{\ln \left(x \right)^{2}}$&$57$\\ \hline \end{longtable}"," ",0,"2*x^3+6*x^2+2*x^3*(25*x^2+10*x*ln(x)+60*x+12*ln(x)+36)/ln(x)^2","A"
6668,1,9,10,0.019000," ","int(5/4*exp(-5/4*x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{-\frac{5 x}{4}}$&$9$\\ norman&$x -{\mathrm e}^{-\frac{5 x}{4}}$&$9$\\ risch&$x -{\mathrm e}^{-\frac{5 x}{4}}$&$9$\\ derivativedivides&$-{\mathrm e}^{-\frac{5 x}{4}}-\frac{4 \ln \left({\mathrm e}^{-\frac{5 x}{4}}\right)}{5}$&$15$\\ \hline \end{longtable}"," ",0,"x-exp(-5/4*x)","A"
6669,1,15,16,0.024000," ","int((-2*x*exp(x)*ln(x)^5*exp(exp(x))^2+x*exp(x)*ln(x)^5-4)/x/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x}-{\mathrm e}^{2 \,{\mathrm e}^{x}}+\frac{1}{\ln \left(x \right)^{4}}$&$15$\\ risch&${\mathrm e}^{x}-{\mathrm e}^{2 \,{\mathrm e}^{x}}+\frac{1}{\ln \left(x \right)^{4}}$&$15$\\ \hline \end{longtable}"," ",0,"exp(x)-exp(exp(x))^2+1/ln(x)^4","A"
6670,1,16,18,0.021000," ","int((ln(x^2)-1)/(x*ln(x^2)-2*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-\ln \left(\ln \left(x^{2}\right)-2 x +1\right)$&$16$\\ norman&$\ln \left(x \right)-\ln \left(2 x -1-\ln \left(x^{2}\right)\right)$&$18$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(ln(x^2)-2*x+1)","A"
6671,1,61,20,1.681000," ","int(1/2500*((5*x^4*ln(1/5*x)-4*x^4)*ln(x)^4+4*x^4*ln(1/5*x)*ln(x)^3)*exp(1/10000*(x^5*ln(x)^4-30000*ln(1/5*x)^4)/ln(1/5*x)^4)^4/ln(1/5*x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-x^{5} \ln \left(x \right)^{4}+30000 \ln \left(x \right)^{4}-120000 \ln \left(x \right)^{3} \ln \left(5\right)+180000 \ln \left(x \right)^{2} \ln \left(5\right)^{2}-120000 \ln \left(x \right) \ln \left(5\right)^{3}+30000 \ln \left(5\right)^{4}}{2500 \left(\ln \left(5\right)-\ln \left(x \right)\right)^{4}}}$&$61$\\ \hline \end{longtable}"," ",0,"exp(-1/2500*(-x^5*ln(x)^4+30000*ln(x)^4-120000*ln(x)^3*ln(5)+180000*ln(x)^2*ln(5)^2-120000*ln(x)*ln(5)^3+30000*ln(5)^4)/(ln(5)-ln(x))^4)","B"
6672,1,29,17,0.057000," ","int(((2*x*exp(2*x-1)+1)*ln(3/2*x)+2*x*exp(2*x-1)^2+exp(2*x-1))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\frac{3 x}{2}\right) {\mathrm e}^{2 x -1}+\frac{\ln \left(\frac{3 x}{2}\right)^{2}}{2}+\frac{{\mathrm e}^{4 x -2}}{2}$&$29$\\ default&$\ln \left(\frac{3 x}{2}\right) {\mathrm e}^{2 x -1}+\frac{\ln \left(\frac{3 x}{2}\right)^{2}}{2}+\frac{{\mathrm e}^{4 x -2}}{2}$&$31$\\ norman&$\ln \left(\frac{3 x}{2}\right) {\mathrm e}^{2 x -1}+\frac{\ln \left(\frac{3 x}{2}\right)^{2}}{2}+\frac{{\mathrm e}^{4 x -2}}{2}$&$31$\\ \hline \end{longtable}"," ",0,"ln(3/2*x)*exp(2*x-1)+1/2*ln(3/2*x)^2+1/2*exp(4*x-2)","A"
6673,1,79,25,0.121000," ","int((((12*exp(25)-2*x^2)*exp(3*exp(25)/x^2)-4*x^2+2*x)*ln(x)+(-12*x*exp(25)+2*x^3)*exp(3*exp(25)/x^2)^2+(2*(12*exp(25)-2*x^2)*ln(2)-24*x*exp(25)+8*x^3-2*x^2)*exp(3*exp(25)/x^2)+2*(-4*x^2+2*x)*ln(2)+8*x^3-3*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{2}+\left(-2 \,{\mathrm e}^{\frac{3 \,{\mathrm e}^{25}}{x^{2}}} x -4 x \right) \ln \left(x \right)+x^{2} {\mathrm e}^{\frac{6 \,{\mathrm e}^{25}}{x^{2}}}-4 \ln \left(2\right) x \,{\mathrm e}^{\frac{3 \,{\mathrm e}^{25}}{x^{2}}}+4 \,{\mathrm e}^{\frac{3 \,{\mathrm e}^{25}}{x^{2}}} x^{2}+4 \ln \left(2\right) \ln \left(x \right)-8 x \ln \left(2\right)+4 x^{2}+x$&$79$\\ default&$\frac{4 \,{\mathrm e}^{\frac{3 \,{\mathrm e}^{25}}{x^{2}}} x^{3}-2 \ln \left(x \right) {\mathrm e}^{\frac{3 \,{\mathrm e}^{25}}{x^{2}}} x^{2}-4 \ln \left(2\right) {\mathrm e}^{\frac{3 \,{\mathrm e}^{25}}{x^{2}}} x^{2}}{x}+4 x^{2}-8 x \ln \left(2\right)+x +4 \ln \left(2\right) \ln \left(x \right)+x^{2} {\mathrm e}^{\frac{6 \,{\mathrm e}^{25}}{x^{2}}}-4 x \ln \left(x \right)+\ln \left(x \right)^{2}$&$88$\\ \hline \end{longtable}"," ",0,"ln(x)^2+(-2*exp(3*exp(25)/x^2)*x-4*x)*ln(x)+x^2*exp(6*exp(25)/x^2)-4*ln(2)*x*exp(3*exp(25)/x^2)+4*exp(3*exp(25)/x^2)*x^2+4*ln(2)*ln(x)-8*x*ln(2)+4*x^2+x","B"
6674,1,38,27,0.054000," ","int((25*exp(x)*ln(x)^4+(100*exp(x)^2+100*exp(x))*ln(x)^3+(140*exp(x)^3+300*exp(x)^2+(10*x+170)*exp(x)+15)*ln(x)^2+(80*exp(x)^4+280*exp(x)^3+(20*x+340)*exp(x)^2+(-10*x+170)*exp(x))*ln(x)+16*exp(x)^5+80*exp(x)^4+(8*x+156)*exp(x)^3+(-4*x+152)*exp(x)^2+(x^2-16*x+49)*exp(x)-9)/(25*ln(x)^4+(100*exp(x)+100)*ln(x)^3+(140*exp(x)^2+300*exp(x)+10*x+170)*ln(x)^2+(80*exp(x)^3+280*exp(x)^2+(20*x+340)*exp(x)+20*x+140)*ln(x)+16*exp(x)^4+80*exp(x)^3+(8*x+156)*exp(x)^2+(20*x+140)*exp(x)+x^2+14*x+49),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x}+\frac{3 x}{5 \ln \left(x \right)^{2}+10 \,{\mathrm e}^{x} \ln \left(x \right)+4 \,{\mathrm e}^{2 x}+10 \ln \left(x \right)+10 \,{\mathrm e}^{x}+x +7}$&$38$\\ \hline \end{longtable}"," ",0,"exp(x)+3*x/(5*ln(x)^2+10*exp(x)*ln(x)+4*exp(2*x)+10*ln(x)+10*exp(x)+x+7)","A"
6675,1,430,31,0.312000," ","int((((ln(5)*(2+x)-1)*exp(x)+2)*ln(x)*ln(ln(5)*exp(x)*ln(x)/((ln(5)*(2+x)-1)*exp(x)+2))+(x*exp(x)*ln(5)-2*x)*ln(x)+((-x-2)*ln(5)+1)*exp(x)-2)/(((ln(5)*(2+x)-1)*exp(x)+2)*ln(x)*ln(ln(5)*exp(x)*ln(x)/((ln(5)*(2+x)-1)*exp(x)+2))^2+(((2*x^2+4*x)*ln(5)-2*x)*exp(x)+4*x)*ln(x)*ln(ln(5)*exp(x)*ln(x)/((ln(5)*(2+x)-1)*exp(x)+2))+(((x^3+2*x^2)*ln(5)-x^2)*exp(x)+2*x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{-i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \ln \left(x \right)}{\left({\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right) \ln \left(5\right)-{\mathrm e}^{x}+2}\right)^{3}-i \pi  \,\mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right) \ln \left(5\right)-{\mathrm e}^{x}+2}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{\left({\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right) \ln \left(5\right)-{\mathrm e}^{x}+2}\right)-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{\left({\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right) \ln \left(5\right)-{\mathrm e}^{x}+2}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \ln \left(x \right)}{\left({\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right) \ln \left(5\right)-{\mathrm e}^{x}+2}\right)+i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{\left({\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right) \ln \left(5\right)-{\mathrm e}^{x}+2}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right) \ln \left(5\right)-{\mathrm e}^{x}+2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{\left({\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right) \ln \left(5\right)-{\mathrm e}^{x}+2}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{\left({\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right) \ln \left(5\right)-{\mathrm e}^{x}+2}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \ln \left(x \right)}{\left({\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right) \ln \left(5\right)-{\mathrm e}^{x}+2}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x} \ln \left(x \right)}{\left({\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right) \ln \left(5\right)-{\mathrm e}^{x}+2}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{\left({\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right) \ln \left(5\right)-{\mathrm e}^{x}+2}\right)^{3}+2 \ln \left(\ln \left(5\right)\right)+2 x +2 \ln \left(\ln \left(x \right)\right)-2 \ln \left(\left({\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right) \ln \left(5\right)-{\mathrm e}^{x}+2\right)+2 \ln \left({\mathrm e}^{x}\right)}$&$430$\\ \hline \end{longtable}"," ",0,"2*x/(-I*Pi*csgn(I*exp(x)/((exp(x)*x+2*exp(x))*ln(5)-exp(x)+2)*ln(x))^3-I*Pi*csgn(I/((exp(x)*x+2*exp(x))*ln(5)-exp(x)+2))*csgn(I*ln(x))*csgn(I*ln(x)/((exp(x)*x+2*exp(x))*ln(5)-exp(x)+2))-I*Pi*csgn(I*exp(x))*csgn(I*ln(x)/((exp(x)*x+2*exp(x))*ln(5)-exp(x)+2))*csgn(I*exp(x)/((exp(x)*x+2*exp(x))*ln(5)-exp(x)+2)*ln(x))+I*Pi*csgn(I*ln(x))*csgn(I*ln(x)/((exp(x)*x+2*exp(x))*ln(5)-exp(x)+2))^2+I*Pi*csgn(I/((exp(x)*x+2*exp(x))*ln(5)-exp(x)+2))*csgn(I*ln(x)/((exp(x)*x+2*exp(x))*ln(5)-exp(x)+2))^2+I*Pi*csgn(I*ln(x)/((exp(x)*x+2*exp(x))*ln(5)-exp(x)+2))*csgn(I*exp(x)/((exp(x)*x+2*exp(x))*ln(5)-exp(x)+2)*ln(x))^2+I*Pi*csgn(I*exp(x))*csgn(I*exp(x)/((exp(x)*x+2*exp(x))*ln(5)-exp(x)+2)*ln(x))^2-I*Pi*csgn(I*ln(x)/((exp(x)*x+2*exp(x))*ln(5)-exp(x)+2))^3+2*ln(ln(5))+2*x+2*ln(ln(x))-2*ln((exp(x)*x+2*exp(x))*ln(5)-exp(x)+2)+2*ln(exp(x)))","C"
6676,1,18,20,0.013000," ","int(1/16*x^3-27/64*x^2+81/128*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{1}{64} x^{4}-\frac{9}{64} x^{3}+\frac{81}{256} x^{2}+x$&$18$\\ norman&$\frac{1}{64} x^{4}-\frac{9}{64} x^{3}+\frac{81}{256} x^{2}+x$&$18$\\ risch&$\frac{1}{64} x^{4}-\frac{9}{64} x^{3}+\frac{81}{256} x^{2}+x$&$18$\\ gosper&$\frac{x \left(4 x^{3}-36 x^{2}+81 x +256\right)}{256}$&$19$\\ \hline \end{longtable}"," ",0,"1/64*x^4-9/64*x^3+81/256*x^2+x","A"
6677,1,8,18,0.024000," ","int((ln(3)+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\ln \left(3\right) \ln \left(x \right)$&$8$\\ norman&$x +\ln \left(3\right) \ln \left(x \right)$&$8$\\ risch&$x +\ln \left(3\right) \ln \left(x \right)$&$8$\\ \hline \end{longtable}"," ",0,"x+ln(3)*ln(x)","A"
6678,1,14,22,0.064000," ","int((-2*x-40)*exp((20+x)/x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 \,{\mathrm e}^{\frac{20+x}{x}}}{x}$&$14$\\ norman&$\frac{2 \,{\mathrm e}^{\frac{20+x}{x}}}{x}$&$14$\\ risch&$\frac{2 \,{\mathrm e}^{\frac{20+x}{x}}}{x}$&$14$\\ derivativedivides&$\frac{\left(1+\frac{20}{x}\right) {\mathrm e}^{1+\frac{20}{x}}}{10}-\frac{{\mathrm e}^{1+\frac{20}{x}}}{10}$&$29$\\ default&$\frac{\left(1+\frac{20}{x}\right) {\mathrm e}^{1+\frac{20}{x}}}{10}-\frac{{\mathrm e}^{1+\frac{20}{x}}}{10}$&$29$\\ meijerg&$-\frac{{\mathrm e} \left(1-{\mathrm e}^{\frac{20}{x}}\right)}{10}+\frac{{\mathrm e} \left(1-\frac{\left(2-\frac{40}{x}\right) {\mathrm e}^{\frac{20}{x}}}{2}\right)}{10}$&$37$\\ \hline \end{longtable}"," ",0,"2*exp((20+x)/x)/x","A"
6679,1,19,23,0.186000," ","int(((2*x-2)*exp(exp(3))-5)/((x^2-2*x+1)*exp(exp(3))-5*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\left(x^{2}-2 x +1\right) {\mathrm e}^{{\mathrm e}^{3}}-5 x +1\right)$&$19$\\ default&$\ln \left(x^{2} {\mathrm e}^{{\mathrm e}^{3}}-2 x \,{\mathrm e}^{{\mathrm e}^{3}}+{\mathrm e}^{{\mathrm e}^{3}}-5 x +1\right)$&$23$\\ norman&$\ln \left(x^{2} {\mathrm e}^{{\mathrm e}^{3}}-2 x \,{\mathrm e}^{{\mathrm e}^{3}}+{\mathrm e}^{{\mathrm e}^{3}}-5 x +1\right)$&$23$\\ risch&$\ln \left(x^{2} {\mathrm e}^{{\mathrm e}^{3}}+\left(-2 \,{\mathrm e}^{{\mathrm e}^{3}}-5\right) x +{\mathrm e}^{{\mathrm e}^{3}}+1\right)$&$23$\\ \hline \end{longtable}"," ",0,"ln((x^2-2*x+1)*exp(exp(3))-5*x+1)","A"
6680,1,24,26,0.620000," ","int(((-4*x*ln(25*x^2)-8*x)*exp(2*x*ln(25*x^2)/exp(2))^2+(2*x^2+1)*exp(2))*exp(-exp(2*x*ln(25*x^2)/exp(2))^2+x^2-5)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-\left(25 x^{2}\right)^{4 x \,{\mathrm e}^{-2}}+x^{2}-5}$&$24$\\ \hline \end{longtable}"," ",0,"x*exp(-((25*x^2)^(2*x*exp(-2)))^2+x^2-5)","A"
6681,1,20,18,0.035000," ","int((x^4*exp(5)*exp(x)+5*x^2-180*x+480)/x^4/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-5} \left(-5 x^{2}+90 x -160\right)}{x^{3}}+{\mathrm e}^{x}$&$20$\\ default&${\mathrm e}^{-5} \left({\mathrm e}^{5} {\mathrm e}^{x}-\frac{160}{x^{3}}+\frac{90}{x^{2}}-\frac{5}{x}\right)$&$27$\\ norman&$\frac{{\mathrm e}^{x} x^{3}-160 \,{\mathrm e}^{-5}+90 x \,{\mathrm e}^{-5}-5 x^{2} {\mathrm e}^{-5}}{x^{3}}$&$34$\\ \hline \end{longtable}"," ",0,"exp(-5)*(-5*x^2+90*x-160)/x^3+exp(x)","A"
6682,1,19,21,0.044000," ","int(((16*x+18)*exp(x)^2+(-64*x-8)*exp(x)-256)/(512*x^3+3264*x^2+6936*x+4913),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{2 x}+16-8 \,{\mathrm e}^{x}}{\left(8 x +17\right)^{2}}$&$19$\\ default&$\frac{16}{\left(8 x +17\right)^{2}}-\frac{{\mathrm e}^{x}}{8 \left(x +\frac{17}{8}\right)^{2}}+\frac{{\mathrm e}^{2 x}}{64 \left(x +\frac{17}{8}\right)^{2}}$&$31$\\ risch&$\frac{1}{4 x^{2}+17 x +\frac{289}{16}}+\frac{{\mathrm e}^{2 x}}{\left(8 x +17\right)^{2}}-\frac{8 \,{\mathrm e}^{x}}{\left(8 x +17\right)^{2}}$&$37$\\ \hline \end{longtable}"," ",0,"(exp(x)^2+16-8*exp(x))/(8*x+17)^2","A"
6683,1,44,24,0.128000," ","int(((-324*x+1620)*ln(3/(x^6-20*x^5+150*x^4-500*x^3+625*x^2))-1296*x^2+8424*x-3240)/((81*x^3-405*x^2)*ln(3/(x^6-20*x^5+150*x^4-500*x^3+625*x^2))^2+(324*x^4-1620*x^3+450*x^2-2250*x)*ln(3/(x^6-20*x^5+150*x^4-500*x^3+625*x^2))+324*x^5-1620*x^4+900*x^3-4500*x^2+625*x-3125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{36}{18 x^{2}+9 \ln \left(\frac{3}{x^{6}-20 x^{5}+150 x^{4}-500 x^{3}+625 x^{2}}\right) x +25}$&$44$\\ risch&$\frac{36}{18 x^{2}+9 \ln \left(\frac{3}{x^{6}-20 x^{5}+150 x^{4}-500 x^{3}+625 x^{2}}\right) x +25}$&$44$\\ \hline \end{longtable}"," ",0,"36/(18*x^2+9*ln(3/(x^6-20*x^5+150*x^4-500*x^3+625*x^2))*x+25)","A"
6684,1,51,28,0.045000," ","int(((-2*ln(x)-4*exp(x)*x+4*x^2-20*x)*ln(ln(x)+2*exp(x)*x-2*x^2+10*x)*ln(ln(ln(x)+2*exp(x)*x-2*x^2+10*x))^2+((6*ln(x)^2+(12*exp(x)*x-12*x^2+60*x)*ln(x))*ln(ln(x)+2*exp(x)*x-2*x^2+10*x)+((4*x^2+4*x)*exp(x)-8*x^2+20*x+2)*ln(x))*ln(ln(ln(x)+2*exp(x)*x-2*x^2+10*x))+((-12*x^2-12*x)*exp(x)+24*x^2-60*x-6)*ln(x)^2)/(x*ln(x)^4+(2*exp(x)*x^2-2*x^3+10*x^2)*ln(x)^3)/ln(ln(x)+2*exp(x)*x-2*x^2+10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(\ln \left(x \right)+2 \,{\mathrm e}^{x} x -2 x^{2}+10 x \right)\right)^{2}}{\ln \left(x \right)^{2}}-\frac{6 \ln \left(\ln \left(\ln \left(x \right)+2 \,{\mathrm e}^{x} x -2 x^{2}+10 x \right)\right)}{\ln \left(x \right)}$&$51$\\ \hline \end{longtable}"," ",0,"1/ln(x)^2*ln(ln(ln(x)+2*exp(x)*x-2*x^2+10*x))^2-6/ln(x)*ln(ln(ln(x)+2*exp(x)*x-2*x^2+10*x))","A"
6685,1,71,26,0.124000," ","int((((384*x-192)*ln(1-2*x)^2-768*x*ln(1-2*x))*ln(x^2)+(-480*x+240)*ln(1-2*x)^2+2496*x*ln(1-2*x))/((32*x^3-16*x^2)*ln(x^2)^2+(-208*x^3+104*x^2)*ln(x^2)+338*x^3-169*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{48 i \ln \left(1-2 x \right)^{2}}{x \left(2 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-4 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+2 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+8 i \ln \left(x \right)-13 i\right)}$&$71$\\ \hline \end{longtable}"," ",0,"-48*I/x/(2*Pi*csgn(I*x)^2*csgn(I*x^2)-4*Pi*csgn(I*x)*csgn(I*x^2)^2+2*Pi*csgn(I*x^2)^3+8*I*ln(x)-13*I)*ln(1-2*x)^2","C"
6686,1,11,7,0.015000," ","int((16*x*ln(x)+16*x+64)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$16 x \ln \left(x \right)+64 \ln \left(x \right)$&$11$\\ norman&$16 x \ln \left(x \right)+64 \ln \left(x \right)$&$11$\\ risch&$16 x \ln \left(x \right)+64 \ln \left(x \right)$&$11$\\ \hline \end{longtable}"," ",0,"16*x*ln(x)+64*ln(x)","A"
6687,1,26,28,0.131000," ","int(((-8*x^2+6*x-2)*exp(5)+28*x^2-20*x+6)/((4*x^2-x)*exp(5)-14*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 x +2 \ln \left(x \right)-\ln \left(4 x \,{\mathrm e}^{5}-{\mathrm e}^{5}-14 x +3\right)$&$26$\\ risch&$-2 x -\ln \left(x \left(4 \,{\mathrm e}^{5}-14\right)+3-{\mathrm e}^{5}\right)+2 \ln \left(-x \right)$&$28$\\ default&$-2 x +2 \ln \left(x \right)+\frac{2 \left(-2 \,{\mathrm e}^{5}+7\right) \ln \left(4 x \,{\mathrm e}^{5}-{\mathrm e}^{5}-14 x +3\right)}{4 \,{\mathrm e}^{5}-14}$&$40$\\ meijerg&$\frac{\left(-8 \,{\mathrm e}^{5}+28\right) \left({\mathrm e}^{5}-3\right)^{2} \left(\frac{2 x \left(2 \,{\mathrm e}^{5}-7\right)}{3-{\mathrm e}^{5}}-\ln \left(1+\frac{2 x \left(2 \,{\mathrm e}^{5}-7\right)}{3-{\mathrm e}^{5}}\right)\right)}{4 \left(3-{\mathrm e}^{5}\right) \left(2 \,{\mathrm e}^{5}-7\right)^{2}}-\frac{\left(6 \,{\mathrm e}^{5}-20\right) \left({\mathrm e}^{5}-3\right) \ln \left(1+\frac{2 x \left(2 \,{\mathrm e}^{5}-7\right)}{3-{\mathrm e}^{5}}\right)}{2 \left(3-{\mathrm e}^{5}\right) \left(2 \,{\mathrm e}^{5}-7\right)}+\frac{2 \,{\mathrm e}^{5} \left({\mathrm e}^{5}-3\right) \left(\ln \left(x \right)+\ln \left(2\right)+\ln \left(2 \,{\mathrm e}^{5}-7\right)+\ln \left(-\frac{1}{3-{\mathrm e}^{5}}\right)+i \pi -\ln \left(1+\frac{2 x \left(2 \,{\mathrm e}^{5}-7\right)}{3-{\mathrm e}^{5}}\right)\right)}{\left(3-{\mathrm e}^{5}\right)^{2}}-\frac{6 \left({\mathrm e}^{5}-3\right) \left(\ln \left(x \right)+\ln \left(2\right)+\ln \left(2 \,{\mathrm e}^{5}-7\right)+\ln \left(-\frac{1}{3-{\mathrm e}^{5}}\right)+i \pi -\ln \left(1+\frac{2 x \left(2 \,{\mathrm e}^{5}-7\right)}{3-{\mathrm e}^{5}}\right)\right)}{\left(3-{\mathrm e}^{5}\right)^{2}}$&$248$\\ \hline \end{longtable}"," ",0,"-2*x+2*ln(x)-ln(4*x*exp(5)-exp(5)-14*x+3)","A"
6688,1,14,13,0.043000," ","int((3*exp(x)*x+1)*exp(1/3*(9*x-9)*exp(x)+x-20/3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{\left(9 x -9\right) {\mathrm e}^{x}}{3}+x -\frac{20}{3}}$&$14$\\ risch&${\mathrm e}^{3 \,{\mathrm e}^{x} x -3 \,{\mathrm e}^{x}+x -\frac{20}{3}}$&$14$\\ \hline \end{longtable}"," ",0,"exp(1/3*(9*x-9)*exp(x)+x-20/3)","A"
6689,1,14,22,0.028000," ","int((16*ln(x)+16)*exp(x*ln(x))^2-6*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$8 x^{2 x}-2 x^{3}$&$14$\\ default&$8 \,{\mathrm e}^{2 x \ln \left(x \right)}-2 x^{3}$&$16$\\ norman&$8 \,{\mathrm e}^{2 x \ln \left(x \right)}-2 x^{3}$&$16$\\ \hline \end{longtable}"," ",0,"8*(x^x)^2-2*x^3","A"
6690,1,32,24,0.589000," ","int(((-x^6+7*x^5-16*x^4)*exp(1/(x-4))+(x^6-8*x^5+16*x^4)*exp(2)-100*x^6+800*x^5-1576*x^4-192*x^3+384*x^2)/((2*x^6-16*x^5+32*x^4)*exp(1/(x-4))^2+((-4*x^6+32*x^5-64*x^4)*exp(2)+400*x^6-3200*x^5+6368*x^4+256*x^3-512*x^2)*exp(1/(x-4))+(2*x^6-16*x^5+32*x^4)*exp(2)^2+(-400*x^6+3200*x^5-6368*x^4-256*x^3+512*x^2)*exp(2)+20000*x^6-160000*x^5+316800*x^4+25600*x^3-51072*x^2-1024*x+2048),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3}}{2 x^{2} {\mathrm e}^{2}-2 x^{2} {\mathrm e}^{\frac{1}{x -4}}-200 x^{2}+16}$&$32$\\ norman&$\frac{-2 x^{3}+\frac{1}{2} x^{4}}{\left(x -4\right) \left(x^{2} {\mathrm e}^{2}-x^{2} {\mathrm e}^{\frac{1}{x -4}}-100 x^{2}+8\right)}$&$44$\\ \hline \end{longtable}"," ",0,"1/2*x^3/(x^2*exp(2)-x^2*exp(1/(x-4))-100*x^2+8)","A"
6691,1,17,18,0.036000," ","int((-90*x*ln(2)-2*x+2)/(2*x*ln(x)+2*(-45*x^2-12*x)*ln(2)-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(45 x \ln \left(2\right)+12 \ln \left(2\right)+x -\ln \left(x \right)\right)$&$17$\\ risch&$\ln \left(-45 x \ln \left(2\right)+\ln \left(x \right)-12 \ln \left(2\right)-x \right)$&$17$\\ \hline \end{longtable}"," ",0,"ln(45*x*ln(2)+12*ln(2)+x-ln(x))","A"
6692,1,29,18,0.021000," ","int(-32*ln(2)^2+1/3*(1664*x+2304)*ln(2)-5408/3*x^2-6652*x-4608,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{2 x \left(144 \ln \left(2\right)^{2}-1248 x \ln \left(2\right)+2704 x^{2}-3456 \ln \left(2\right)+14967 x +20736\right)}{9}$&$29$\\ norman&$\left(\frac{832 \ln \left(2\right)}{3}-3326\right) x^{2}+\left(-32 \ln \left(2\right)^{2}+768 \ln \left(2\right)-4608\right) x -\frac{5408 x^{3}}{9}$&$31$\\ risch&$-32 x \ln \left(2\right)^{2}+\frac{832 x^{2} \ln \left(2\right)}{3}+768 x \ln \left(2\right)-\frac{5408 x^{3}}{9}-3326 x^{2}-4608 x$&$34$\\ default&$-32 x \ln \left(2\right)^{2}+\frac{\ln \left(2\right) \left(832 x^{2}+2304 x \right)}{3}-\frac{5408 x^{3}}{9}-3326 x^{2}-4608 x$&$35$\\ \hline \end{longtable}"," ",0,"-2/9*x*(144*ln(2)^2-1248*x*ln(2)+2704*x^2-3456*ln(2)+14967*x+20736)","A"
6693,1,25,25,0.093000," ","int(((10*x+20)*ln(3)*exp(1/x*(5+x))+(-x^2-2*x)*ln(3)+x^2)/(x^3+2*x^2)/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 \,{\mathrm e}^{\frac{5+x}{x}}+\frac{\ln \left(2+x \right)}{\ln \left(3\right)}-\ln \left(x \right)$&$25$\\ risch&$\frac{\ln \left(-x -2\right)}{\ln \left(3\right)}-\ln \left(x \right)-2 \,{\mathrm e}^{\frac{5+x}{x}}$&$27$\\ default&$\frac{-\ln \left(\frac{5}{x}\right)+\ln \left(5+\frac{10}{x}\right)+\ln \left(3\right) \ln \left(\frac{5}{x}\right)-2 \ln \left(3\right) {\mathrm e}^{1+\frac{5}{x}}}{\ln \left(3\right)}$&$44$\\ derivativedivides&$-\frac{\ln \left(\frac{5}{x}\right)-\ln \left(5+\frac{10}{x}\right)-\ln \left(3\right) \ln \left(\frac{5}{x}\right)+2 \ln \left(3\right) {\mathrm e}^{1+\frac{5}{x}}}{\ln \left(3\right)}$&$46$\\ \hline \end{longtable}"," ",0,"-2*exp(1/x*(5+x))+ln(2+x)/ln(3)-ln(x)","A"
6694,1,31,30,0.155000," ","int(((exp(x)*x-x)*ln(x)^4+(23*exp(x)*x-23*x)*ln(x)^3+((75*x-13)*exp(x)-62*x)*ln(x)^2+((-75*x+30)*exp(x)+45*x)*ln(x)+75*exp(x)-75*x)/(x*ln(x)^4+10*x*ln(x)^3+25*x*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x}-x -\frac{\left(x -{\mathrm e}^{x}\right) \left(13 \ln \left(x \right)-15\right)}{\ln \left(x \right) \left(5+\ln \left(x \right)\right)}$&$31$\\ norman&$\frac{{\mathrm e}^{x} \ln \left(x \right)^{2}+15 x -18 x \ln \left(x \right)-x \ln \left(x \right)^{2}+18 \,{\mathrm e}^{x} \ln \left(x \right)-15 \,{\mathrm e}^{x}}{\ln \left(x \right) \left(5+\ln \left(x \right)\right)}$&$45$\\ default&$-\frac{x \left(\ln \left(x \right)^{2}+18 \ln \left(x \right)-15\right)}{\left(5+\ln \left(x \right)\right) \ln \left(x \right)}+\frac{{\mathrm e}^{x} \ln \left(x \right)^{2}+18 \,{\mathrm e}^{x} \ln \left(x \right)-15 \,{\mathrm e}^{x}}{\ln \left(x \right) \left(5+\ln \left(x \right)\right)}$&$54$\\ \hline \end{longtable}"," ",0,"exp(x)-x-(x-exp(x))*(13*ln(x)-15)/ln(x)/(5+ln(x))","A"
6695,1,34,21,0.107000," ","int(((20*x-4)*ln(ln(5*x^2-2*x))+(20*x-4)*ln(ln(5))+(-5*x^2+2*x)*ln(5*x^2-2*x))/(5*x^2-2*x)/ln(5*x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\ln \left(\ln \left(5 x^{2}-2 x \right)\right)^{2}+2 \ln \left(\ln \left(5\right)\right) \ln \left(\ln \left(5 x^{2}-2 x \right)\right)$&$34$\\ norman&$-x +\ln \left(\ln \left(5 x^{2}-2 x \right)\right)^{2}+2 \ln \left(\ln \left(5\right)\right) \ln \left(\ln \left(5 x^{2}-2 x \right)\right)$&$34$\\ \hline \end{longtable}"," ",0,"-x+ln(ln(5*x^2-2*x))^2+2*ln(ln(5))*ln(ln(5*x^2-2*x))","A"
6696,1,25,26,0.131000," ","int((((20*exp(5)-20*x)*ln(7)^4+20*x^2*exp(5)-20*x^3)*ln(-exp(5)+x)-20*x*ln(7)^4+20*x^3)*exp(5*x*ln(-exp(5)+x)/(ln(7)^4-x^2))^4/((exp(5)-x)*ln(7)^8+(-2*x^2*exp(5)+2*x^3)*ln(7)^4+x^4*exp(5)-x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-{\mathrm e}^{5}+x \right)^{\frac{20 x}{\ln \left(7\right)^{4}-x^{2}}}$&$25$\\ \hline \end{longtable}"," ",0,"((-exp(5)+x)^(5*x/(ln(7)^4-x^2)))^4","A"
6697,1,12,10,0.059000," ","int(-100*exp((-x^4+48*x^3-864*x^2+6912*x-20711)/(x^4-48*x^3+864*x^2-6912*x+20736))/(x^5-60*x^4+1440*x^3-17280*x^2+103680*x-248832),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{\frac{25}{\left(x -12\right)^{4}}} {\mathrm e}^{-1}$&$12$\\ default&${\mathrm e}^{\frac{25}{\left(x -12\right)^{4}}} {\mathrm e}^{-1}$&$12$\\ risch&${\mathrm e}^{-\frac{\left(x^{2}-24 x +149\right) \left(x^{2}-24 x +139\right)}{\left(x -12\right)^{4}}}$&$25$\\ gosper&${\mathrm e}^{-\frac{x^{4}-48 x^{3}+864 x^{2}-6912 x +20711}{x^{4}-48 x^{3}+864 x^{2}-6912 x +20736}}$&$42$\\ norman&$\frac{x^{4} {\mathrm e}^{\frac{-x^{4}+48 x^{3}-864 x^{2}+6912 x -20711}{x^{4}-48 x^{3}+864 x^{2}-6912 x +20736}}-6912 x \,{\mathrm e}^{\frac{-x^{4}+48 x^{3}-864 x^{2}+6912 x -20711}{x^{4}-48 x^{3}+864 x^{2}-6912 x +20736}}+864 x^{2} {\mathrm e}^{\frac{-x^{4}+48 x^{3}-864 x^{2}+6912 x -20711}{x^{4}-48 x^{3}+864 x^{2}-6912 x +20736}}-48 x^{3} {\mathrm e}^{\frac{-x^{4}+48 x^{3}-864 x^{2}+6912 x -20711}{x^{4}-48 x^{3}+864 x^{2}-6912 x +20736}}+20736 \,{\mathrm e}^{\frac{-x^{4}+48 x^{3}-864 x^{2}+6912 x -20711}{x^{4}-48 x^{3}+864 x^{2}-6912 x +20736}}}{\left(x -12\right)^{4}}$&$237$\\ \hline \end{longtable}"," ",0,"exp(1/(x-12)^4)^25*exp(-1)","A"
6698,1,152,21,0.161000," ","int(((2*x^3*exp(x^2)*exp(exp(3+x))+2*x^2*exp(x^2))*ln((x*exp(exp(3+x))+1)/x)^2+(-20*x^3*exp(x^2)*exp(exp(3+x))-20*x^2*exp(x^2))*ln((x*exp(exp(3+x))+1)/x)+(50*x^3*exp(x^2)-5*x^2*exp(3+x))*exp(exp(3+x))+50*x^2*exp(x^2)+5)/((x^2*exp(exp(3+x))+x)*ln((x*exp(exp(3+x))+1)/x)^2+(-10*x^2*exp(exp(3+x))-10*x)*ln((x*exp(exp(3+x))+1)/x)+25*x^2*exp(exp(3+x))+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{2}}+\frac{10 i}{\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{{\mathrm e}^{3+x}}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{{\mathrm e}^{3+x}}+1\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{{\mathrm e}^{3+x}}+1\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{{\mathrm e}^{3+x}}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{{\mathrm e}^{3+x}}+1\right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{{\mathrm e}^{3+x}}+1\right)}{x}\right)^{3}-2 i \ln \left(x \right)+2 i \ln \left(x \,{\mathrm e}^{{\mathrm e}^{3+x}}+1\right)-10 i}$&$152$\\ \hline \end{longtable}"," ",0,"exp(x^2)+10*I/(Pi*csgn(I/x)*csgn(I*(x*exp(exp(3+x))+1))*csgn(I/x*(x*exp(exp(3+x))+1))-Pi*csgn(I/x)*csgn(I/x*(x*exp(exp(3+x))+1))^2-Pi*csgn(I*(x*exp(exp(3+x))+1))*csgn(I/x*(x*exp(exp(3+x))+1))^2+Pi*csgn(I/x*(x*exp(exp(3+x))+1))^3-2*I*ln(x)+2*I*ln(x*exp(exp(3+x))+1)-10*I)","C"
6699,1,24,18,0.156000," ","int(((-x^2+x+2)*exp((-x^2+11*x-2)/x)-4*x^2+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-\frac{x^{2}-11 x +2}{x}} x -2 x^{2}$&$24$\\ norman&$x +x \,{\mathrm e}^{\frac{-x^{2}+11 x -2}{x}}-2 x^{2}$&$25$\\ \hline \end{longtable}"," ",0,"x+exp(-(x^2-11*x+2)/x)*x-2*x^2","A"
6700,1,26,25,0.040000," ","int(((2*x*exp(exp(-x^2+8)+exp(2)+2)+2*x*exp(x+1))*ln(exp(exp(-x^2+8)+exp(2)+2)+exp(x+1))+2*x^3*exp(-x^2+8)*exp(exp(-x^2+8)+exp(2)+2)-x^2*exp(x+1))/(exp(exp(-x^2+8)+exp(2)+2)+exp(x+1))/ln(exp(exp(-x^2+8)+exp(2)+2)+exp(x+1))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{\ln \left({\mathrm e}^{{\mathrm e}^{-x^{2}+8}+{\mathrm e}^{2}+2}+{\mathrm e}^{x +1}\right)}$&$26$\\ \hline \end{longtable}"," ",0,"x^2/ln(exp(exp(-x^2+8)+exp(2)+2)+exp(x+1))","A"
6701,1,15,12,0.109000," ","int(-51*exp(-3/(2*ln(2)-17*x-4))/(4*ln(2)^2+2*(-34*x-8)*ln(2)+289*x^2+136*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{3}{2 \ln \left(2\right)-17 x -4}}$&$15$\\ derivativedivides&${\mathrm e}^{\frac{3}{-2 \ln \left(2\right)+17 x +4}}$&$15$\\ default&${\mathrm e}^{\frac{3}{-2 \ln \left(2\right)+17 x +4}}$&$15$\\ risch&${\mathrm e}^{-\frac{3}{2 \ln \left(2\right)-17 x -4}}$&$15$\\ norman&$\frac{\left(2 \ln \left(2\right)-4\right) {\mathrm e}^{-\frac{3}{2 \ln \left(2\right)-17 x -4}}-17 x \,{\mathrm e}^{-\frac{3}{2 \ln \left(2\right)-17 x -4}}}{2 \ln \left(2\right)-17 x -4}$&$52$\\ \hline \end{longtable}"," ",0,"exp(-3/(2*ln(2)-17*x-4))","A"
6702,1,16,17,0.079000," ","int(((-349*x-6)*exp(x)*exp(88/3*x)^2+(3*x^2-6*x-12)*exp(x))/(3*x^3*exp(88/3*x)^6+(9*x^4+18*x^3)*exp(88/3*x)^4+(9*x^5+36*x^4+36*x^3)*exp(88/3*x)^2+3*x^6+18*x^5+36*x^4+24*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}}{x^{2} \left({\mathrm e}^{\frac{176 x}{3}}+x +2\right)^{2}}$&$16$\\ \hline \end{longtable}"," ",0,"1/x^2*exp(x)/(exp(176/3*x)+x+2)^2","A"
6703,1,19,20,0.017000," ","int(8*exp(x)^2*exp(-exp(x)^2-1/4*ln(5))+8*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2}-\frac{4 \,5^{\frac{3}{4}} {\mathrm e}^{-{\mathrm e}^{2 x}}}{5}$&$19$\\ default&$4 x^{2}-4 \,{\mathrm e}^{-{\mathrm e}^{2 x}-\frac{\ln \left(5\right)}{4}}$&$21$\\ norman&$4 x^{2}-4 \,{\mathrm e}^{-{\mathrm e}^{2 x}-\frac{\ln \left(5\right)}{4}}$&$21$\\ \hline \end{longtable}"," ",0,"4*x^2-4/5*5^(3/4)*exp(-exp(2*x))","A"
6704,1,34,26,2.542000," ","int((((3*ln(5/exp(exp(exp(x)^2+2*exp(x)*x+x^2)))+3*exp(x))*ln(ln(5/exp(exp(exp(x)^2+2*exp(x)*x+x^2)))+exp(x))-x*ln(5/exp(exp(exp(x)^2+2*exp(x)*x+x^2)))-exp(x)*x)*ln(3*ln(ln(5/exp(exp(exp(x)^2+2*exp(x)*x+x^2)))+exp(x))-x)-x*ln(5/exp(exp(exp(x)^2+2*exp(x)*x+x^2)))+(-6*x*exp(x)^2+(-6*x^2-6*x)*exp(x)-6*x^2)*exp(exp(x)^2+2*exp(x)*x+x^2)+2*exp(x)*x)/((3*ln(5/exp(exp(exp(x)^2+2*exp(x)*x+x^2)))+3*exp(x))*ln(ln(5/exp(exp(exp(x)^2+2*exp(x)*x+x^2)))+exp(x))-x*ln(5/exp(exp(exp(x)^2+2*exp(x)*x+x^2)))-exp(x)*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(3 \ln \left(\ln \left(5\right)-\ln \left({\mathrm e}^{{\mathrm e}^{{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x +x^{2}}}\right)+{\mathrm e}^{x}\right)-x \right) x$&$34$\\ \hline \end{longtable}"," ",0,"ln(3*ln(ln(5)-ln(exp(exp(exp(2*x)+2*exp(x)*x+x^2)))+exp(x))-x)*x","A"
6705,1,13,12,0.064000," ","int(ln(5/2/exp(x)/x)-x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(\frac{5 \,{\mathrm e}^{-x}}{2 x}\right)$&$13$\\ norman&$x \ln \left(\frac{5 \,{\mathrm e}^{-x}}{2 x}\right)$&$13$\\ risch&$-x \ln \left({\mathrm e}^{x}\right)-x \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{x}\right) x}{2}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{x}\right)^{2} x}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{x}\right)^{2} x}{2}-\frac{i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{x}\right)^{3} x}{2}-x \ln \left(2\right)+x \ln \left(5\right)$&$122$\\ \hline \end{longtable}"," ",0,"x*ln(5/2/exp(x)/x)","A"
6706,1,57,27,0.221000," ","int(((((ln(x^2)-75*x*ln(x))*ln(ln(x^2)-75*x*ln(x))^2+(-2*x*ln(x^2)+150*x^2*ln(x))*ln(ln(x^2)-75*x*ln(x))+x^2*ln(x^2)-75*x^3*ln(x))*exp(x/(ln(ln(x^2)-75*x*ln(x))-x))+(ln(x^2)-75*x*ln(x))*ln(ln(x^2)-75*x*ln(x))^2+(-2*x*ln(x^2)+150*x^2*ln(x))*ln(ln(x^2)-75*x*ln(x))+x^2*ln(x^2)-75*x^3*ln(x))*ln(exp(x/(ln(ln(x^2)-75*x*ln(x))-x))+1)+((-x*ln(x^2)+75*x^2*ln(x))*ln(ln(x^2)-75*x*ln(x))-75*x^2*ln(x)-75*x^2+2*x)*exp(x/(ln(ln(x^2)-75*x*ln(x))-x)))/(((ln(x^2)-75*x*ln(x))*ln(ln(x^2)-75*x*ln(x))^2+(-2*x*ln(x^2)+150*x^2*ln(x))*ln(ln(x^2)-75*x*ln(x))+x^2*ln(x^2)-75*x^3*ln(x))*exp(x/(ln(ln(x^2)-75*x*ln(x))-x))+(ln(x^2)-75*x*ln(x))*ln(ln(x^2)-75*x*ln(x))^2+(-2*x*ln(x^2)+150*x^2*ln(x))*ln(ln(x^2)-75*x*ln(x))+x^2*ln(x^2)-75*x^3*ln(x))/ln(exp(x/(ln(ln(x^2)-75*x*ln(x))-x))+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{\ln \left({\mathrm e}^{-\frac{x}{-\ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-75 x \ln \left(x \right)\right)+x}}+1\right)}$&$57$\\ \hline \end{longtable}"," ",0,"x/ln(exp(-x/(-ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-75*x*ln(x))+x))+1)","C"
6707,1,36,26,0.118000," ","int(((-4*ln(x^2)+8*ln(x))*exp(4*ln(x)/ln(x^2))+(-exp(x)*x-2*x^2+4*x)*ln(x^2)^2)/x/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x -{\mathrm e}^{2-\frac{2 \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right)}{\ln \left(x^{2}\right)}}-x^{2}-{\mathrm e}^{x}$&$36$\\ risch&$-x^{2}+4 x -{\mathrm e}^{x}-x^{\frac{4}{i \pi  \,\mathrm{csgn}\left(i x \right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right)+2 \ln \left(x \right)}}$&$47$\\ \hline \end{longtable}"," ",0,"4*x-exp(2-2*(ln(x^2)-2*ln(x))/ln(x^2))-x^2-exp(x)","A"
6708,1,19,24,0.101000," ","int(((-2*exp(5)-x)*exp(exp(2))+(x^3-48)*exp(5)-x^4-24*x)/x^3/exp(5)/exp(x/exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{3}+{\mathrm e}^{{\mathrm e}^{2}}+24\right) {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{x^{2}}$&$19$\\ gosper&$\frac{\left(x^{3}+{\mathrm e}^{{\mathrm e}^{2}}+24\right) {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{x^{2}}$&$22$\\ norman&$\frac{\left(x^{3}+{\mathrm e}^{{\mathrm e}^{2}}+24\right) {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{x^{2}}$&$22$\\ derivativedivides&${\mathrm e}^{-15} \left(-{\mathrm e}^{-x \,{\mathrm e}^{-5}} {\mathrm e}^{20}-48 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{10} {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{2 x^{2}}+\frac{{\mathrm e}^{5} {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{2 x}-\frac{\expIntegralEi \left(1, x \,{\mathrm e}^{-5}\right)}{2}\right)-24 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{5} {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{x}+\expIntegralEi \left(1, x \,{\mathrm e}^{-5}\right)\right)-{\mathrm e}^{20} \left(-x \,{\mathrm e}^{-5} {\mathrm e}^{-x \,{\mathrm e}^{-5}}-{\mathrm e}^{-x \,{\mathrm e}^{-5}}\right)-2 \,{\mathrm e}^{{\mathrm e}^{2}} {\mathrm e}^{5} \left(-\frac{{\mathrm e}^{10} {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{2 x^{2}}+\frac{{\mathrm e}^{5} {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{2 x}-\frac{\expIntegralEi \left(1, x \,{\mathrm e}^{-5}\right)}{2}\right)-{\mathrm e}^{{\mathrm e}^{2}} {\mathrm e}^{5} \left(-\frac{{\mathrm e}^{5} {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{x}+\expIntegralEi \left(1, x \,{\mathrm e}^{-5}\right)\right)\right)$&$218$\\ default&${\mathrm e}^{-15} \left(-{\mathrm e}^{-x \,{\mathrm e}^{-5}} {\mathrm e}^{20}-48 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{10} {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{2 x^{2}}+\frac{{\mathrm e}^{5} {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{2 x}-\frac{\expIntegralEi \left(1, x \,{\mathrm e}^{-5}\right)}{2}\right)-24 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{5} {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{x}+\expIntegralEi \left(1, x \,{\mathrm e}^{-5}\right)\right)-{\mathrm e}^{20} \left(-x \,{\mathrm e}^{-5} {\mathrm e}^{-x \,{\mathrm e}^{-5}}-{\mathrm e}^{-x \,{\mathrm e}^{-5}}\right)-2 \,{\mathrm e}^{{\mathrm e}^{2}} {\mathrm e}^{5} \left(-\frac{{\mathrm e}^{10} {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{2 x^{2}}+\frac{{\mathrm e}^{5} {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{2 x}-\frac{\expIntegralEi \left(1, x \,{\mathrm e}^{-5}\right)}{2}\right)-{\mathrm e}^{{\mathrm e}^{2}} {\mathrm e}^{5} \left(-\frac{{\mathrm e}^{5} {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{x}+\expIntegralEi \left(1, x \,{\mathrm e}^{-5}\right)\right)\right)$&$218$\\ meijerg&$-{\mathrm e}^{5} \left(1-\frac{\left(2 x \,{\mathrm e}^{-5}+2\right) {\mathrm e}^{-x \,{\mathrm e}^{-5}}}{2}\right)+{\mathrm e}^{5} \left(1-{\mathrm e}^{-x \,{\mathrm e}^{-5}}\right)+\left(-24-{\mathrm e}^{{\mathrm e}^{2}}\right) {\mathrm e}^{-10} \left(-\frac{{\mathrm e}^{5}}{x}+6-\ln \left(x \right)+\frac{{\mathrm e}^{5} \left(2-2 x \,{\mathrm e}^{-5}\right)}{2 x}-\frac{{\mathrm e}^{5-x \,{\mathrm e}^{-5}}}{x}+\ln \left(x \,{\mathrm e}^{-5}\right)+\expIntegralEi \left(1, x \,{\mathrm e}^{-5}\right)\right)-2 \,{\mathrm e}^{-10+{\mathrm e}^{2}} \left(-\frac{{\mathrm e}^{10}}{2 x^{2}}+\frac{{\mathrm e}^{5}}{x}-\frac{13}{4}+\frac{\ln \left(x \right)}{2}+\frac{{\mathrm e}^{10} \left(9 x^{2} {\mathrm e}^{-10}-12 x \,{\mathrm e}^{-5}+6\right)}{12 x^{2}}-\frac{{\mathrm e}^{10-x \,{\mathrm e}^{-5}} \left(3-3 x \,{\mathrm e}^{-5}\right)}{6 x^{2}}-\frac{\ln \left(x \,{\mathrm e}^{-5}\right)}{2}-\frac{\expIntegralEi \left(1, x \,{\mathrm e}^{-5}\right)}{2}\right)-48 \,{\mathrm e}^{-10} \left(-\frac{{\mathrm e}^{10}}{2 x^{2}}+\frac{{\mathrm e}^{5}}{x}-\frac{13}{4}+\frac{\ln \left(x \right)}{2}+\frac{{\mathrm e}^{10} \left(9 x^{2} {\mathrm e}^{-10}-12 x \,{\mathrm e}^{-5}+6\right)}{12 x^{2}}-\frac{{\mathrm e}^{10-x \,{\mathrm e}^{-5}} \left(3-3 x \,{\mathrm e}^{-5}\right)}{6 x^{2}}-\frac{\ln \left(x \,{\mathrm e}^{-5}\right)}{2}-\frac{\expIntegralEi \left(1, x \,{\mathrm e}^{-5}\right)}{2}\right)$&$258$\\ \hline \end{longtable}"," ",0,"(x^3+exp(exp(2))+24)/x^2*exp(-x*exp(-5))","A"
6709,1,273,22,0.089000," ","int((-1280*ln(x)^2+(-2560*x-256)*ln(x)-1280*x^2+256)/(5*x*ln(x)^2+(10*x^2+x)*ln(x)+5*x^3+x^2)/ln((5*x*ln(x)+5*x^2+x)/(2*x+2*ln(x)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{512 i}{\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(x +\ln \left(x \right)+\frac{1}{5}\right)}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x \left(x +\ln \left(x \right)+\frac{1}{5}\right)}{x +\ln \left(x \right)}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(x +\ln \left(x \right)+\frac{1}{5}\right)}{x +\ln \left(x \right)}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(x +\ln \left(x \right)+\frac{1}{5}\right)\right) \mathrm{csgn}\left(\frac{i \left(x +\ln \left(x \right)+\frac{1}{5}\right)}{x +\ln \left(x \right)}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x +\ln \left(x \right)+\frac{1}{5}\right)}{x +\ln \left(x \right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x +\ln \left(x \right)+\frac{1}{5}\right)\right) \mathrm{csgn}\left(\frac{i \left(x +\ln \left(x \right)+\frac{1}{5}\right)}{x +\ln \left(x \right)}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x +\ln \left(x \right)+\frac{1}{5}\right)}{x +\ln \left(x \right)}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i \left(x +\ln \left(x \right)+\frac{1}{5}\right)}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x \left(x +\ln \left(x \right)+\frac{1}{5}\right)}{x +\ln \left(x \right)}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i x \left(x +\ln \left(x \right)+\frac{1}{5}\right)}{x +\ln \left(x \right)}\right)^{3}-2 i \ln \left(2\right)+2 i \ln \left(5\right)+2 i \ln \left(x +\ln \left(x \right)+\frac{1}{5}\right)+2 i \ln \left(x \right)-2 i \ln \left(x +\ln \left(x \right)\right)}$&$273$\\ \hline \end{longtable}"," ",0,"512*I/(Pi*csgn(I*x)*csgn(I/(x+ln(x))*(x+ln(x)+1/5))*csgn(I*x/(x+ln(x))*(x+ln(x)+1/5))-Pi*csgn(I*x)*csgn(I*x/(x+ln(x))*(x+ln(x)+1/5))^2+Pi*csgn(I/(x+ln(x)))*csgn(I*(x+ln(x)+1/5))*csgn(I/(x+ln(x))*(x+ln(x)+1/5))-Pi*csgn(I/(x+ln(x)))*csgn(I/(x+ln(x))*(x+ln(x)+1/5))^2-Pi*csgn(I*(x+ln(x)+1/5))*csgn(I/(x+ln(x))*(x+ln(x)+1/5))^2+Pi*csgn(I/(x+ln(x))*(x+ln(x)+1/5))^3-Pi*csgn(I/(x+ln(x))*(x+ln(x)+1/5))*csgn(I*x/(x+ln(x))*(x+ln(x)+1/5))^2+Pi*csgn(I*x/(x+ln(x))*(x+ln(x)+1/5))^3-2*I*ln(2)+2*I*ln(5)+2*I*ln(x+ln(x)+1/5)+2*I*ln(x)-2*I*ln(x+ln(x)))","C"
6710,1,32,33,0.142000," ","int(((9*x^7-51*x^6-74*x^5+6*x^4+17*x^3-3*x^2)*exp(x)+63*x^6+72*x^5-10*x^4-16*x^3+3*x^2)/(36*exp(x)^2-72*exp(x)+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{3} \left(9 x^{4}+12 x^{3}-2 x^{2}-4 x +1\right)}{36 \left({\mathrm e}^{x}-1\right)}$&$32$\\ norman&$\frac{-\frac{1}{36} x^{3}+\frac{1}{9} x^{4}+\frac{1}{18} x^{5}-\frac{1}{3} x^{6}-\frac{1}{4} x^{7}}{{\mathrm e}^{x}-1}$&$34$\\ \hline \end{longtable}"," ",0,"-1/36*x^3*(9*x^4+12*x^3-2*x^2-4*x+1)/(exp(x)-1)","A"
6711,1,70,21,0.048000," ","int((2*exp(3)^2*exp(x)^2+((2*x-8)*exp(2)*exp(3)^2+(4*x^2+8*x)*exp(2)*exp(3))*exp(x)+(2*x-10)*exp(2)^2*exp(3)^2+(12*x^2-40*x)*exp(2)^2*exp(3)+16*x^3*exp(2)^2)/exp(2)^2/exp(3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{-6} x^{3} {\mathrm e}^{3}+4 \,{\mathrm e}^{-6} x^{4}-20 \,{\mathrm e}^{-6} x^{2} {\mathrm e}^{3}+{\mathrm e}^{-6} x^{2} {\mathrm e}^{6}-10 \,{\mathrm e}^{-6} x \,{\mathrm e}^{6}+{\mathrm e}^{2 x -4}+\left(2 x \,{\mathrm e}^{8}-10 \,{\mathrm e}^{8}+4 x^{2} {\mathrm e}^{5}\right) {\mathrm e}^{x -10}$&$70$\\ norman&$\left({\mathrm e}^{-2} {\mathrm e}^{3} {\mathrm e}^{2 x}+{\mathrm e}^{2} \left({\mathrm e}^{3}-20\right) x^{2}+4 x^{3} {\mathrm e}^{2}+4 \,{\mathrm e}^{x} x^{2}-10 \,{\mathrm e}^{x} {\mathrm e}^{3}-10 x \,{\mathrm e}^{2} {\mathrm e}^{3}+2 x \,{\mathrm e}^{3} {\mathrm e}^{x}+4 \,{\mathrm e}^{2} {\mathrm e}^{-3} x^{4}\right) {\mathrm e}^{-2} {\mathrm e}^{-3}$&$77$\\ default&${\mathrm e}^{-4} {\mathrm e}^{-6} \left(-8 \,{\mathrm e}^{2} {\mathrm e}^{6} {\mathrm e}^{x}+8 \,{\mathrm e}^{2} {\mathrm e}^{3} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+4 \,{\mathrm e}^{2} {\mathrm e}^{3} \left({\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right)+2 \,{\mathrm e}^{2} {\mathrm e}^{6} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+{\mathrm e}^{4} {\mathrm e}^{6} \left(x^{2}-10 x \right)+{\mathrm e}^{4} {\mathrm e}^{3} \left(4 x^{3}-20 x^{2}\right)+4 x^{4} {\mathrm e}^{4}+{\mathrm e}^{6} {\mathrm e}^{2 x}\right)$&$127$\\ \hline \end{longtable}"," ",0,"4*exp(-6)*x^3*exp(3)+4*exp(-6)*x^4-20*exp(-6)*x^2*exp(3)+exp(-6)*x^2*exp(6)-10*exp(-6)*x*exp(6)+exp(2*x-4)+(2*x*exp(8)-10*exp(8)+4*x^2*exp(5))*exp(x-10)","B"
6712,1,17,21,0.039000," ","int((-2*exp(exp(2))+x^3-12*x^2+48*x-72)/(x^3-12*x^2+48*x-64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\frac{-8-2 \,{\mathrm e}^{{\mathrm e}^{2}}}{2 \left(x -4\right)^{2}}$&$17$\\ norman&$\frac{x^{3}+{\mathrm e}^{{\mathrm e}^{2}}-48 x +132}{\left(x -4\right)^{2}}$&$18$\\ gosper&$\frac{x^{3}+{\mathrm e}^{{\mathrm e}^{2}}-48 x +132}{x^{2}-8 x +16}$&$23$\\ risch&$x +\frac{{\mathrm e}^{{\mathrm e}^{2}}}{x^{2}-8 x +16}+\frac{4}{x^{2}-8 x +16}$&$29$\\ \hline \end{longtable}"," ",0,"x-1/2*(-8-2*exp(exp(2)))/(x-4)^2","A"
6713,1,17,14,0.057000," ","int(((2*x+11)*exp(1/15*x^2+11/15*x+5)+15)/(15*exp(1/15*x^2+11/15*x+5)+15*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5+\ln \left({\mathrm e}^{\frac{1}{15} x^{2}+\frac{11}{15} x +5}+x \right)$&$17$\\ norman&$\ln \left(15 \,{\mathrm e}^{\frac{1}{15} x^{2}+\frac{11}{15} x +5}+15 x \right)$&$19$\\ \hline \end{longtable}"," ",0,"-5+ln(exp(1/15*x^2+11/15*x+5)+x)","A"
6714,1,3,6,0.010000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
6715,1,36,16,0.029000," ","int(384*x^5*ln(2)^4+4*(-64*x^3-60*x^2)*ln(2)^2+32*x+40,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$8 x \left(8 x^{5} \ln \left(2\right)^{4}-8 x^{3} \ln \left(2\right)^{2}-10 x^{2} \ln \left(2\right)^{2}+2 x +5\right)$&$36$\\ default&$64 x^{6} \ln \left(2\right)^{4}+4 \ln \left(2\right)^{2} \left(-16 x^{4}-20 x^{3}\right)+16 x^{2}+40 x$&$36$\\ norman&$40 x +16 x^{2}-80 x^{3} \ln \left(2\right)^{2}-64 x^{4} \ln \left(2\right)^{2}+64 x^{6} \ln \left(2\right)^{4}$&$37$\\ risch&$40 x +16 x^{2}-80 x^{3} \ln \left(2\right)^{2}-64 x^{4} \ln \left(2\right)^{2}+64 x^{6} \ln \left(2\right)^{4}$&$37$\\ \hline \end{longtable}"," ",0,"8*x*(8*x^5*ln(2)^4-8*x^3*ln(2)^2-10*x^2*ln(2)^2+2*x+5)","B"
6716,1,18,24,0.034000," ","int((32*x^3-2*ln(2)+4-exp(4))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{16 x^{3}+2 \ln \left(2\right)+{\mathrm e}^{4}-4}{x}$&$18$\\ norman&$\frac{16 x^{3}+2 \ln \left(2\right)+{\mathrm e}^{4}-4}{x}$&$18$\\ default&$16 x^{2}-\frac{-2 \ln \left(2\right)-{\mathrm e}^{4}+4}{x}$&$22$\\ risch&$16 x^{2}+\frac{2 \ln \left(2\right)}{x}+\frac{{\mathrm e}^{4}}{x}-\frac{4}{x}$&$25$\\ \hline \end{longtable}"," ",0,"(16*x^3+2*ln(2)+exp(4)-4)/x","A"
6717,1,32,20,0.085000," ","int((4*exp(2)^2+(-8*x-195)*exp(2)+4*x^2+200*x+2375)/((4*x+4)*exp(2)^2+(-8*x^2-203*x-200)*exp(2)+4*x^3+199*x^2+2575*x+2500),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left({\mathrm e}^{2}-x -25\right)+\ln \left(4 \,{\mathrm e}^{2} x -4 x^{2}+4 \,{\mathrm e}^{2}-99 x -100\right)$&$32$\\ risch&$-\ln \left(-{\mathrm e}^{2}+x +25\right)+\ln \left(4 x^{2}+\left(-4 \,{\mathrm e}^{2}+99\right) x -4 \,{\mathrm e}^{2}+100\right)$&$32$\\ default&$-\left(\munderset{\textit{\_R} =\RootOf \left(4 \textit{\_Z}^{3}+\left(-8 \,{\mathrm e}^{2}+199\right) \textit{\_Z}^{2}+\left(-203 \,{\mathrm e}^{2}+4 \,{\mathrm e}^{4}+2575\right) \textit{\_Z} -200 \,{\mathrm e}^{2}+4 \,{\mathrm e}^{4}+2500\right)}{\sum}\frac{\left(8 \,{\mathrm e}^{2} \textit{\_R} -4 \textit{\_R}^{2}+195 \,{\mathrm e}^{2}-4 \,{\mathrm e}^{4}-200 \textit{\_R} -2375\right) \ln \left(x -\textit{\_R} \right)}{4 \,{\mathrm e}^{4}-16 \,{\mathrm e}^{2} \textit{\_R} +12 \textit{\_R}^{2}-203 \,{\mathrm e}^{2}+398 \textit{\_R} +2575}\right)$&$99$\\ \hline \end{longtable}"," ",0,"-ln(exp(2)-x-25)+ln(4*exp(2)*x-4*x^2+4*exp(2)-99*x-100)","A"
6718,1,13,13,0.025000," ","int((x*ln(x)^2-2*x^2*ln(x)+x^3+2*x-2)/(x*ln(x)^2-2*x^2*ln(x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{2}{x -\ln \left(x \right)}$&$13$\\ norman&$\frac{-2+x^{2}-x \ln \left(x \right)}{x -\ln \left(x \right)}$&$20$\\ \hline \end{longtable}"," ",0,"x-2/(x-ln(x))","A"
6719,1,24,20,0.021000," ","int((-15*x*ln(x)*ln(4*ln(x))+(15*x^3-10*x^2-15*x)*ln(x)+5)/x/exp(3*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \,{\mathrm e}^{-3 x} \ln \left(4 \ln \left(x \right)\right)-5 \left(x^{2}-1\right) {\mathrm e}^{-3 x}$&$24$\\ \hline \end{longtable}"," ",0,"5*exp(-3*x)*ln(4*ln(x))-5*(x^2-1)*exp(-3*x)","A"
6720,1,48,23,0.219000," ","int((((-15*exp(5)+45*x)*ln(x)^2+(30*exp(5)-30*x)*ln(x))*ln(2*x)+(15*exp(5)-15*x)*ln(x)^2)/(x^2*exp(5)^3-3*x^3*exp(5)^2+3*x^4*exp(5)-x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{15 \ln \left(x \right)^{3}}{x \left({\mathrm e}^{10}-2 x \,{\mathrm e}^{5}+x^{2}\right)}+\frac{15 \ln \left(2\right) \ln \left(x \right)^{2}}{x \left({\mathrm e}^{10}-2 x \,{\mathrm e}^{5}+x^{2}\right)}$&$48$\\ default&\verb|error in convert/parfrac: numeric exception: division by zero\|& N/A\\ \hline \end{longtable}"," ",0,"15/x/(exp(10)-2*x*exp(5)+x^2)*ln(x)^3+15*ln(2)/x/(exp(10)-2*x*exp(5)+x^2)*ln(x)^2","B"
6721,1,26,21,0.034000," ","int(1/4*(30*exp(x)*x+(-5*x^3+15*x^2)*exp(5)-10*x^4+40*x^3)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{5 x^{4}}{2}+\frac{5 x^{3} {\mathrm e}^{5}}{4}+\frac{15 \,{\mathrm e}^{x} x^{2}}{4}\right) {\mathrm e}^{-x}$&$26$\\ risch&$\frac{15 x^{2}}{4}+\frac{\left(5 x^{3} {\mathrm e}^{5}+10 x^{4}\right) {\mathrm e}^{-x}}{4}$&$26$\\ default&$\frac{15 x^{2}}{4}+\frac{5 x^{4} {\mathrm e}^{-x}}{2}+\frac{15 \,{\mathrm e}^{5} \left(-x^{2} {\mathrm e}^{-x}-2 x \,{\mathrm e}^{-x}-2 \,{\mathrm e}^{-x}\right)}{4}-\frac{5 \,{\mathrm e}^{5} \left(-x^{3} {\mathrm e}^{-x}-3 x^{2} {\mathrm e}^{-x}-6 x \,{\mathrm e}^{-x}-6 \,{\mathrm e}^{-x}\right)}{4}$&$79$\\ \hline \end{longtable}"," ",0,"(5/2*x^4+5/4*x^3*exp(5)+15/4*exp(x)*x^2)/exp(x)","A"
6722,1,26,26,0.232000," ","int((360*x^2*exp(3)+2520*x^2+480*x+960)/(x^6*exp(3)^2+(14*x^6+4*x^5+16*x^4-40*x^3)*exp(3)+49*x^6+28*x^5+116*x^4-248*x^3-16*x^2-320*x+400),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{120}{x^{3} {\mathrm e}^{3}+7 x^{3}+2 x^{2}+8 x -20}$&$26$\\ norman&$-\frac{120}{x^{3} {\mathrm e}^{3}+7 x^{3}+2 x^{2}+8 x -20}$&$26$\\ risch&$-\frac{120}{x^{3} {\mathrm e}^{3}+7 x^{3}+2 x^{2}+8 x -20}$&$26$\\ default&$60 \left(\munderset{\textit{\_R} =\RootOf \left(400+\left({\mathrm e}^{6}+14 \,{\mathrm e}^{3}+49\right) \textit{\_Z}^{6}+\left(4 \,{\mathrm e}^{3}+28\right) \textit{\_Z}^{5}+\left(16 \,{\mathrm e}^{3}+116\right) \textit{\_Z}^{4}+\left(-40 \,{\mathrm e}^{3}-248\right) \textit{\_Z}^{3}-16 \textit{\_Z}^{2}-320 \textit{\_Z} \right)}{\sum}\frac{\left(8+3 \left(7+{\mathrm e}^{3}\right) \textit{\_R}^{2}+4 \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{-160+3 \textit{\_R}^{5} {\mathrm e}^{6}+42 \textit{\_R}^{5} {\mathrm e}^{3}+10 \textit{\_R}^{4} {\mathrm e}^{3}+147 \textit{\_R}^{5}+32 \textit{\_R}^{3} {\mathrm e}^{3}+70 \textit{\_R}^{4}-60 \textit{\_R}^{2} {\mathrm e}^{3}+232 \textit{\_R}^{3}-372 \textit{\_R}^{2}-16 \textit{\_R}}\right)$&$142$\\ \hline \end{longtable}"," ",0,"-120/(x^3*exp(3)+7*x^3+2*x^2+8*x-20)","A"
6723,1,23,31,0.099000," ","int(((-2*x*exp(-exp(5*x)+1)-160*x^2*exp(5*x))*exp(x*ln(x))*exp(16/exp(-exp(5*x)+1))^2+(ln(x)+1)*exp(-exp(5*x)+1)*exp(x*ln(x)))/exp(-exp(5*x)+1)/exp(x^2*exp(16/exp(-exp(5*x)+1))^2+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{x} {\mathrm e}^{-x^{2} {\mathrm e}^{32 \,{\mathrm e}^{{\mathrm e}^{5 x}-1}}-5}$&$23$\\ \hline \end{longtable}"," ",0,"x^x*exp(-x^2*exp(32*exp(exp(5*x)-1))-5)","A"
6724,1,109826,25,10.314000," ","int(((-2*x^7+14*x^6-24*x^5-2*x^3+14*x^2-24*x)*ln((2*x^4+2)/x^4)*ln(x*ln((2*x^4+2)/x^4))^2+((2*x^6-12*x^5+18*x^4+2*x^2-12*x+18)*ln((2*x^4+2)/x^4)-8*x^2+48*x-72)*ln(x*ln((2*x^4+2)/x^4)))/(x^5+x)/exp(x)^2/ln((2*x^4+2)/x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$109826$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
6725,1,23,20,0.108000," ","int((-25*x^2+50*x)*exp(5/2)/((10000*x^2-20000*x+10000)*exp(5/2)^2+(800*x^3-800*x^2)*exp(5/2)+16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{25 \left(x -1\right) {\mathrm e}^{\frac{5}{2}}}{16 \left(25 \,{\mathrm e}^{\frac{5}{2}} x +x^{2}-25 \,{\mathrm e}^{\frac{5}{2}}\right)}$&$23$\\ risch&$\frac{{\mathrm e}^{\frac{5}{2}} \left(\frac{x}{16}-\frac{1}{16}\right)}{{\mathrm e}^{\frac{5}{2}} x +\frac{x^{2}}{25}-{\mathrm e}^{\frac{5}{2}}}$&$25$\\ norman&$\frac{\frac{25 \,{\mathrm e}^{\frac{5}{2}} x}{16}-\frac{25 \,{\mathrm e}^{\frac{5}{2}}}{16}}{25 \,{\mathrm e}^{\frac{5}{2}} x +x^{2}-25 \,{\mathrm e}^{\frac{5}{2}}}$&$27$\\ default&$-\frac{25 \,{\mathrm e}^{\frac{5}{2}} \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+50 \,{\mathrm e}^{\frac{5}{2}} \textit{\_Z}^{3}+\left(625 \,{\mathrm e}^{5}-50 \,{\mathrm e}^{\frac{5}{2}}\right) \textit{\_Z}^{2}-1250 \textit{\_Z} \,{\mathrm e}^{5}+625 \,{\mathrm e}^{5}\right)}{\sum}\frac{\left(\textit{\_R}^{2}-2 \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{625 \textit{\_R} \,{\mathrm e}^{5}+75 \textit{\_R}^{2} {\mathrm e}^{\frac{5}{2}}+2 \textit{\_R}^{3}-625 \,{\mathrm e}^{5}-50 \,{\mathrm e}^{\frac{5}{2}} \textit{\_R}}\right)}{32}$&$85$\\ \hline \end{longtable}"," ",0,"25/16*(x-1)*exp(5/2)/(25*exp(5/2)*x+x^2-25*exp(5/2))","A"
6726,1,11,11,0.016000," ","int(exp(2*x)-3/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{3 x}{2}+\frac{{\mathrm e}^{2 x}}{2}$&$11$\\ norman&$-\frac{3 x}{2}+\frac{{\mathrm e}^{2 x}}{2}$&$11$\\ risch&$-\frac{3 x}{2}+\frac{{\mathrm e}^{2 x}}{2}$&$11$\\ derivativedivides&$\frac{{\mathrm e}^{2 x}}{2}-\frac{3 \ln \left({\mathrm e}^{2 x}\right)}{4}$&$15$\\ \hline \end{longtable}"," ",0,"-3/2*x+1/2*exp(2*x)","A"
6727,1,228,26,0.200000," ","int((((exp(exp(2))-x-1)*ln(x)-exp(2*x)*exp(exp(2))+(x+1)*exp(2*x))*ln((ln(x)-exp(2*x))/(exp(exp(2))-x-1))+(256*exp(exp(2))-255*x-256)*ln(x)+((-2*x-256)*exp(2*x)+1)*exp(exp(2))+(2*x^2+257*x+256)*exp(2*x)-x-1)/(((x*exp(exp(2))-x^2-x)*ln(x)-x*exp(2*x)*exp(exp(2))+(x^2+x)*exp(2*x))*ln((ln(x)-exp(2*x))/(exp(exp(2))-x-1))+(256*x*exp(exp(2))-256*x^2-256*x)*ln(x)-256*x*exp(2*x)*exp(exp(2))+(256*x^2+256*x)*exp(2*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left(\ln \left({\mathrm e}^{{\mathrm e}^{2}}-x -1\right)-\frac{i \left(-2 \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-{\mathrm e}^{2 x}\right)}{1-{\mathrm e}^{{\mathrm e}^{2}}+x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-{\mathrm e}^{2 x}\right)\right) \mathrm{csgn}\left(\frac{i}{1-{\mathrm e}^{{\mathrm e}^{2}}+x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-{\mathrm e}^{2 x}\right)}{1-{\mathrm e}^{{\mathrm e}^{2}}+x}\right)-\pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-{\mathrm e}^{2 x}\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-{\mathrm e}^{2 x}\right)}{1-{\mathrm e}^{{\mathrm e}^{2}}+x}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{1-{\mathrm e}^{{\mathrm e}^{2}}+x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-{\mathrm e}^{2 x}\right)}{1-{\mathrm e}^{{\mathrm e}^{2}}+x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-{\mathrm e}^{2 x}\right)}{1-{\mathrm e}^{{\mathrm e}^{2}}+x}\right)^{3}+2 \pi -2 i \ln \left({\mathrm e}^{2 x}-\ln \left(x \right)\right)-512 i\right)}{2}\right)$&$228$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(ln(exp(exp(2))-x-1)-1/2*I*(-2*Pi*csgn(I*(ln(x)-exp(2*x))/(1-exp(exp(2))+x))^2-Pi*csgn(I*(ln(x)-exp(2*x)))*csgn(I/(1-exp(exp(2))+x))*csgn(I*(ln(x)-exp(2*x))/(1-exp(exp(2))+x))-Pi*csgn(I*(ln(x)-exp(2*x)))*csgn(I*(ln(x)-exp(2*x))/(1-exp(exp(2))+x))^2-Pi*csgn(I/(1-exp(exp(2))+x))*csgn(I*(ln(x)-exp(2*x))/(1-exp(exp(2))+x))^2+Pi*csgn(I*(ln(x)-exp(2*x))/(1-exp(exp(2))+x))^3+2*Pi-2*I*ln(exp(2*x)-ln(x))-512*I))","C"
6728,1,18,23,0.028000," ","int(((-x^2+x)*exp(x)-exp(2)*x-17*x+12)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-6+\left({\mathrm e}^{2}+17\right) x -{\mathrm e}^{x} x}{x^{2}}$&$18$\\ risch&$\frac{\left({\mathrm e}^{2}+17\right) x -6}{x^{2}}-\frac{{\mathrm e}^{x}}{x}$&$21$\\ default&$-\frac{{\mathrm e}^{x}}{x}-\frac{6}{x^{2}}+\frac{17}{x}+\frac{{\mathrm e}^{2}}{x}$&$25$\\ \hline \end{longtable}"," ",0,"(-6+(exp(2)+17)*x-exp(x)*x)/x^2","A"
6729,1,24,26,0.255000," ","int(((-4*x^3-30*x^2-64*x-32)*exp(1)^2*exp(x-3)+(-10*x^2+160)*exp(1)^2)/(25*x^2*exp(x-3)^3-375*x^2*exp(x-3)^2+1875*x^2*exp(x-3)-3125*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{2} \left(x^{2}+8 x +16\right)}{25 x \left({\mathrm e}^{x -3}-5\right)^{2}}$&$24$\\ norman&$\frac{\frac{16 \,{\mathrm e}^{2} x}{25}+\frac{32 \,{\mathrm e}^{2}}{25}+\frac{2 x^{2} {\mathrm e}^{2}}{25}}{x \left({\mathrm e}^{x -3}-5\right)^{2}}$&$36$\\ \hline \end{longtable}"," ",0,"2/25/x*exp(2)*(x^2+8*x+16)/(exp(x-3)-5)^2","A"
6730,1,27,32,0.336000," ","int((60*exp(-4*x+1)+15)/((3*exp(-4*x+1)+3*exp(2)-3*x-4)*ln(3*exp(-4*x+1)+3*exp(2)-3*x-4)^2+((6*ln(5)+30)*exp(-4*x+1)+(6*exp(2)-6*x-8)*ln(5)+30*exp(2)-30*x-40)*ln(3*exp(-4*x+1)+3*exp(2)-3*x-4)+(3*ln(5)^2+30*ln(5)+75)*exp(-4*x+1)+(3*exp(2)-3*x-4)*ln(5)^2+(30*exp(2)-30*x-40)*ln(5)+75*exp(2)-75*x-100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5}{\ln \left(3 \,{\mathrm e}^{-4 x +1}+3 \,{\mathrm e}^{2}-3 x -4\right)+\ln \left(5\right)+5}$&$27$\\ risch&$\frac{5}{\ln \left(3 \,{\mathrm e}^{-4 x +1}+3 \,{\mathrm e}^{2}-3 x -4\right)+\ln \left(5\right)+5}$&$27$\\ \hline \end{longtable}"," ",0,"5/(ln(3*exp(-4*x+1)+3*exp(2)-3*x-4)+ln(5)+5)","A"
6731,1,32,19,45.683000," ","int(((-64*exp(x)*x+2)*exp(exp(x)-3)^2+((-64*exp(x)*x+4)*ln(x)-64)*exp(exp(x)-3)+2*ln(x)^2-64*ln(x)+30*x)/(-17*x*ln(x)^32+136*x^2*ln(x)^30-680*x^3*ln(x)^28+2380*x^4*ln(x)^26-6188*x^5*ln(x)^24+12376*x^6*ln(x)^22-19448*x^7*ln(x)^20+24310*x^8*ln(x)^18-24310*x^9*ln(x)^16+19448*x^10*ln(x)^14-12376*x^11*ln(x)^12+6188*x^12*ln(x)^10-2380*x^13*ln(x)^8+680*x^14*ln(x)^6-136*x^15*ln(x)^4+17*x^16*ln(x)^2+34*ln(x)*exp(exp(x)-3)^33-x^17+(278256*ln(x)^5-84320*x*ln(x)^3+4080*x^2*ln(x))*exp(exp(x)-3)^29+(1344904*ln(x)^6-611320*x*ln(x)^4+59160*x^2*ln(x)^2-680*x^3)*exp(exp(x)-3)^28+(5379616*ln(x)^7-3423392*x*ln(x)^5+552160*x^2*ln(x)^3-19040*x^3*ln(x))*exp(exp(x)-3)^27+(18156204*ln(x)^8-15405264*x*ln(x)^6+3727080*x^2*ln(x)^4-257040*x^3*ln(x)^2+2380*x^4)*exp(exp(x)-3)^26+(52451256*ln(x)^9-57219552*x*ln(x)^7+19380816*x^2*ln(x)^5-2227680*x^3*ln(x)^3+61880*x^4*ln(x))*exp(exp(x)-3)^25+(131128140*ln(x)^10-178811100*x*ln(x)^8+80753400*x^2*ln(x)^6-13923000*x^3*ln(x)^4+773500*x^4*ln(x)^2-6188*x^5)*exp(exp(x)-3)^24+(286097760*ln(x)^11-476829600*x*ln(x)^9+276868800*x^2*ln(x)^7-66830400*x^3*ln(x)^5+6188000*x^4*ln(x)^3-148512*x^5*ln(x))*exp(exp(x)-3)^23+(548354040*ln(x)^12-1096708080*x*ln(x)^10+795997800*x^2*ln(x)^8-256183200*x^3*ln(x)^6+35581000*x^4*ln(x)^4-1707888*x^5*ln(x)^2+12376*x^6)*exp(exp(x)-3)^22+(927983760*ln(x)^13-2193416160*x*ln(x)^11+1945772400*x^2*ln(x)^9-805147200*x^3*ln(x)^7+156556400*x^4*ln(x)^5-12524512*x^5*ln(x)^3+272272*x^6*ln(x))*exp(exp(x)-3)^21+(1391975640*ln(x)^14-3838478280*x*ln(x)^12+4086122040*x^2*ln(x)^10-2113511400*x^3*ln(x)^8+547947400*x^4*ln(x)^6-65753688*x^5*ln(x)^4+2858856*x^6*ln(x)^2-19448*x^7)*exp(exp(x)-3)^20+(1855967520*ln(x)^15-5905351200*x*ln(x)^13+7429312800*x^2*ln(x)^11-4696692000*x^3*ln(x)^9+1565564000*x^4*ln(x)^7-263014752*x^5*ln(x)^5+19059040*x^6*ln(x)^3-388960*x^7*ln(x))*exp(exp(x)-3)^19+(2203961430*ln(x)^16-8014405200*x*ln(x)^14+11763078600*x^2*ln(x)^12-8923714800*x^3*ln(x)^10+3718214500*x^4*ln(x)^8-832880048*x^5*ln(x)^6+90530440*x^6*ln(x)^4-3695120*x^7*ln(x)^2+24310*x^8)*exp(exp(x)-3)^18+(2333606220*ln(x)^17-9617286240*x*ln(x)^15+16287339600*x^2*ln(x)^13-14602442400*x^3*ln(x)^11+7436429000*x^4*ln(x)^9-2141691552*x^5*ln(x)^7+325909584*x^6*ln(x)^5-22170720*x^7*ln(x)^3+437580*x^8*ln(x))*exp(exp(x)-3)^17+(2203961430*ln(x)^18-10218366630*x*ln(x)^16+19777483800*x^2*ln(x)^14-20686793400*x^3*ln(x)^12+12641929300*x^4*ln(x)^10-4551094548*x^5*ln(x)^8+923410488*x^6*ln(x)^6-94225560*x^7*ln(x)^4+3719430*x^8*ln(x)^2-24310*x^9)*exp(exp(x)-3)^16+(1855967520*ln(x)^19-9617286240*x*ln(x)^17+21095982720*x^2*ln(x)^15-25460668800*x^3*ln(x)^13+18388260800*x^4*ln(x)^11-8090834752*x^5*ln(x)^9+2110652544*x^6*ln(x)^7-301521792*x^7*ln(x)^5+19836960*x^8*ln(x)^3-388960*x^9*ln(x))*exp(exp(x)-3)^15+(1391975640*ln(x)^20-8014405200*x*ln(x)^18+19777483800*x^2*ln(x)^16-27279288000*x^3*ln(x)^14+22985326000*x^4*ln(x)^12-12136252128*x^5*ln(x)^10+3957473520*x^6*ln(x)^8-753804480*x^7*ln(x)^6+74388600*x^8*ln(x)^4-2917200*x^9*ln(x)^2+19448*x^10)*exp(exp(x)-3)^14+(927983760*ln(x)^21-5905351200*x*ln(x)^19+16287339600*x^2*ln(x)^17-25460668800*x^3*ln(x)^15+24753428000*x^4*ln(x)^13-15446139072*x^5*ln(x)^11+6156069920*x^6*ln(x)^9-1507608960*x^7*ln(x)^7+208288080*x^8*ln(x)^5-13613600*x^9*ln(x)^3+272272*x^10*ln(x))*exp(exp(x)-3)^13+(548354040*ln(x)^22-3838478280*x*ln(x)^20+11763078600*x^2*ln(x)^18-20686793400*x^3*ln(x)^16+22985326000*x^4*ln(x)^14-16733317328*x^5*ln(x)^12+8002890896*x^6*ln(x)^10-2449864560*x^7*ln(x)^8+451290840*x^8*ln(x)^6-44244200*x^9*ln(x)^4+1769768*x^10*ln(x)^2-12376*x^11)*exp(exp(x)-3)^12+(286097760*ln(x)^23-2193416160*x*ln(x)^21+7429312800*x^2*ln(x)^19-14602442400*x^3*ln(x)^17+18388260800*x^4*ln(x)^15-15446139072*x^5*ln(x)^13+8730426432*x^6*ln(x)^11-3266486080*x^7*ln(x)^9+773641440*x^8*ln(x)^7-106186080*x^9*ln(x)^5+7079072*x^10*ln(x)^3-148512*x^11*ln(x))*exp(exp(x)-3)^11+(131128140*ln(x)^24-1096708080*x*ln(x)^22+4086122040*x^2*ln(x)^20-8923714800*x^3*ln(x)^18+12641929300*x^4*ln(x)^16-12136252128*x^5*ln(x)^14+8002890896*x^6*ln(x)^12-3593134688*x^7*ln(x)^10+1063756980*x^8*ln(x)^8-194674480*x^9*ln(x)^6+19467448*x^10*ln(x)^4-816816*x^11*ln(x)^2+6188*x^12)*exp(exp(x)-3)^10+(52451256*ln(x)^25-476829600*x*ln(x)^23+1945772400*x^2*ln(x)^21-4696692000*x^3*ln(x)^19+7436429000*x^4*ln(x)^17-8090834752*x^5*ln(x)^15+6156069920*x^6*ln(x)^13-3266486080*x^7*ln(x)^11+1181952200*x^8*ln(x)^9-278106400*x^9*ln(x)^7+38934896*x^10*ln(x)^5-2722720*x^11*ln(x)^3+61880*x^12*ln(x))*exp(exp(x)-3)^9+(18156204*ln(x)^26-178811100*x*ln(x)^24+795997800*x^2*ln(x)^22-2113511400*x^3*ln(x)^20+3718214500*x^4*ln(x)^18-4551094548*x^5*ln(x)^16+3957473520*x^6*ln(x)^14-2449864560*x^7*ln(x)^12+1063756980*x^8*ln(x)^10-312869700*x^9*ln(x)^8+58402344*x^10*ln(x)^6-6126120*x^11*ln(x)^4+278460*x^12*ln(x)^2-2380*x^13)*exp(exp(x)-3)^8+(5379616*ln(x)^27-57219552*x*ln(x)^25+276868800*x^2*ln(x)^23-805147200*x^3*ln(x)^21+1565564000*x^4*ln(x)^19-2141691552*x^5*ln(x)^17+2110652544*x^6*ln(x)^15-1507608960*x^7*ln(x)^13+773641440*x^8*ln(x)^11-278106400*x^9*ln(x)^9+66745536*x^10*ln(x)^7-9801792*x^11*ln(x)^5+742560*x^12*ln(x)^3-19040*x^13*ln(x))*exp(exp(x)-3)^7+(1344904*ln(x)^28-15405264*x*ln(x)^26+80753400*x^2*ln(x)^24-256183200*x^3*ln(x)^22+547947400*x^4*ln(x)^20-832880048*x^5*ln(x)^18+923410488*x^6*ln(x)^16-753804480*x^7*ln(x)^14+451290840*x^8*ln(x)^12-194674480*x^9*ln(x)^10+58402344*x^10*ln(x)^8-11435424*x^11*ln(x)^6+1299480*x^12*ln(x)^4-66640*x^13*ln(x)^2+680*x^14)*exp(exp(x)-3)^6+(278256*ln(x)^29-3423392*x*ln(x)^27+19380816*x^2*ln(x)^25-66830400*x^3*ln(x)^23+156556400*x^4*ln(x)^21-263014752*x^5*ln(x)^19+325909584*x^6*ln(x)^17-301521792*x^7*ln(x)^15+208288080*x^8*ln(x)^13-106186080*x^9*ln(x)^11+38934896*x^10*ln(x)^9-9801792*x^11*ln(x)^7+1559376*x^12*ln(x)^5-133280*x^13*ln(x)^3+4080*x^14*ln(x))*exp(exp(x)-3)^5+(46376*ln(x)^30-611320*x*ln(x)^28+3727080*x^2*ln(x)^26-13923000*x^3*ln(x)^24+35581000*x^4*ln(x)^22-65753688*x^5*ln(x)^20+90530440*x^6*ln(x)^18-94225560*x^7*ln(x)^16+74388600*x^8*ln(x)^14-44244200*x^9*ln(x)^12+19467448*x^10*ln(x)^10-6126120*x^11*ln(x)^8+1299480*x^12*ln(x)^6-166600*x^13*ln(x)^4+10200*x^14*ln(x)^2-136*x^15)*exp(exp(x)-3)^4+(5984*ln(x)^31-84320*x*ln(x)^29+552160*x^2*ln(x)^27-2227680*x^3*ln(x)^25+6188000*x^4*ln(x)^23-12524512*x^5*ln(x)^21+19059040*x^6*ln(x)^19-22170720*x^7*ln(x)^17+19836960*x^8*ln(x)^15-13613600*x^9*ln(x)^13+7079072*x^10*ln(x)^11-2722720*x^11*ln(x)^9+742560*x^12*ln(x)^7-133280*x^13*ln(x)^5+13600*x^14*ln(x)^3-544*x^15*ln(x))*exp(exp(x)-3)^3+(561*ln(x)^32-8432*x*ln(x)^30+59160*x^2*ln(x)^28-257040*x^3*ln(x)^26+773500*x^4*ln(x)^24-1707888*x^5*ln(x)^22+2858856*x^6*ln(x)^20-3695120*x^7*ln(x)^18+3719430*x^8*ln(x)^16-2917200*x^9*ln(x)^14+1769768*x^10*ln(x)^12-816816*x^11*ln(x)^10+278460*x^12*ln(x)^8-66640*x^13*ln(x)^6+10200*x^14*ln(x)^4-816*x^15*ln(x)^2+17*x^16)*exp(exp(x)-3)^2+(34*ln(x)^33-544*x*ln(x)^31+4080*x^2*ln(x)^29-19040*x^3*ln(x)^27+61880*x^4*ln(x)^25-148512*x^5*ln(x)^23+272272*x^6*ln(x)^21-388960*x^7*ln(x)^19+437580*x^8*ln(x)^17-388960*x^9*ln(x)^15+272272*x^10*ln(x)^13-148512*x^11*ln(x)^11+61880*x^12*ln(x)^9-19040*x^13*ln(x)^7+4080*x^14*ln(x)^5-544*x^15*ln(x)^3+34*x^16*ln(x))*exp(exp(x)-3)+(561*ln(x)^2-17*x)*exp(exp(x)-3)^32+(5984*ln(x)^3-544*x*ln(x))*exp(exp(x)-3)^31+(46376*ln(x)^4-8432*x*ln(x)^2+136*x^2)*exp(exp(x)-3)^30+ln(x)^34+exp(exp(x)-3)^34),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{\left(-\ln \left(x \right)^{2}-2 \ln \left(x \right) {\mathrm e}^{{\mathrm e}^{x}-3}-{\mathrm e}^{2 \,{\mathrm e}^{x}-6}+x \right)^{16}}$&$32$\\ \hline \end{longtable}"," ",0,"2*x/(-ln(x)^2-2*ln(x)*exp(exp(x)-3)-exp(2*exp(x)-6)+x)^16","A"
6732,1,16,18,0.089000," ","int(-4/(x^2+2*x+1)/ln(ln(5*ln(6))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4}{\ln \left(\ln \left(5 \ln \left(6\right)\right)\right) \left(x +1\right)}$&$16$\\ default&$\frac{4}{\ln \left(\ln \left(5 \ln \left(6\right)\right)\right) \left(x +1\right)}$&$16$\\ norman&$\frac{4}{\ln \left(\ln \left(5\right)+\ln \left(\ln \left(6\right)\right)\right) \left(x +1\right)}$&$17$\\ meijerg&$-\frac{4 x}{\ln \left(\ln \left(5 \ln \left(6\right)\right)\right) \left(x +1\right)}$&$17$\\ risch&$\frac{4}{\ln \left(\ln \left(5 \ln \left(2\right)+5 \ln \left(3\right)\right)\right) \left(x +1\right)}$&$21$\\ \hline \end{longtable}"," ",0,"4/ln(ln(5*ln(6)))/(x+1)","A"
6733,1,16,15,0.095000," ","int(ln(9/4/x^2)+2*x-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+x \ln \left(\frac{9}{4 x^{2}}\right)-x$&$16$\\ risch&$x^{2}+x \ln \left(\frac{9}{4 x^{2}}\right)-x$&$16$\\ derivativedivides&$x \ln \left(\frac{1}{x^{2}}\right)-x -2 x \ln \left(2\right)+2 x \ln \left(3\right)+x^{2}$&$24$\\ default&$x \ln \left(\frac{1}{x^{2}}\right)-x -2 x \ln \left(2\right)+2 x \ln \left(3\right)+x^{2}$&$24$\\ \hline \end{longtable}"," ",0,"x^2+x*ln(9/4/x^2)-x","A"
6734,1,70,28,0.219000," ","int(((2*x^4-4*x^3+x^2+4*x-2)*ln(2*x*ln(2))^3+8*x^2*ln(2*x*ln(2))^2+(4*x^3+12*x^2)*ln(2*x*ln(2))+16*x^3-16*x^2)/(2*x^4-6*x^3+6*x^2-2*x)/ln(2*x*ln(2))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{\ln \left(2 x \ln \left(2\right)\right)^{2}}{2}+\ln \left(2 x \ln \left(2\right)\right)^{2} x^{3}-\frac{7 x^{2} \ln \left(2 x \ln \left(2\right)\right)^{2}}{4}-4 x^{2}-2 x^{2} \ln \left(2 x \ln \left(2\right)\right)}{\left(x -1\right)^{2} \ln \left(2 x \ln \left(2\right)\right)^{2}}+\ln \left(x \right)$&$70$\\ risch&$\frac{4 x^{2} \ln \left(x \right)+4 x^{3}-8 x \ln \left(x \right)-8 x^{2}+4 \ln \left(x \right)+2 x +1}{4 x^{2}-8 x +4}-\frac{2 \left(\ln \left(2 x \ln \left(2\right)\right)+2\right) x^{2}}{\left(x^{2}-2 x +1\right) \ln \left(2 x \ln \left(2\right)\right)^{2}}$&$76$\\ \hline \end{longtable}"," ",0,"(1/2*ln(2*x*ln(2))^2+ln(2*x*ln(2))^2*x^3-7/4*x^2*ln(2*x*ln(2))^2-4*x^2-2*x^2*ln(2*x*ln(2)))/(x-1)^2/ln(2*x*ln(2))^2+ln(x)","B"
6735,1,24,19,0.046000," ","int(1/5*((4*x+25)*exp(x)^2-18*x-75)/exp(1/5*x)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(25+5 x \right) {\mathrm e}^{\frac{4 x}{5}}}{5}+\frac{\left(15 x +75\right) {\mathrm e}^{-\frac{6 x}{5}}}{5}$&$24$\\ default&$15 \,{\mathrm e}^{-\frac{6 x}{5}}+5 \,{\mathrm e}^{\frac{4 x}{5}}+3 x \,{\mathrm e}^{-\frac{6 x}{5}}+x \,{\mathrm e}^{\frac{4 x}{5}}$&$27$\\ norman&$\left(15+x \,{\mathrm e}^{2 x}+3 x +5 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{-\frac{6 x}{5}}$&$29$\\ meijerg&$-15+\frac{25 \,{\mathrm e}^{-\frac{6 x}{5}}}{2}+\frac{5 \,{\mathrm e}^{2 x} {\mathrm e}^{-2 x} \left(1-\frac{\left(2-\frac{8 x}{5}\right) {\mathrm e}^{\frac{4 x}{5}}}{2}\right)}{4}-\frac{25 \,{\mathrm e}^{2 x} {\mathrm e}^{-2 x} \left(1-{\mathrm e}^{\frac{4 x}{5}}\right)}{4}+\frac{5 \left(2+\frac{12 x}{5}\right) {\mathrm e}^{-\frac{6 x}{5}}}{4}$&$61$\\ \hline \end{longtable}"," ",0,"1/5*(25+5*x)*exp(4/5*x)+1/5*(15*x+75)*exp(-6/5*x)","A"
6736,1,130,34,0.131000," ","int((((4*x^3*ln(x)^3-2*x^3*ln(x)^2)*ln(x^2)+4*x^5*ln(x)^3-2*x^5*ln(x)^2)*ln(ln(x^2)+x^2)^2+((-8*x^3*ln(x)^4+2*x^3*ln(x)^3+12*x^5*ln(x)^2-6*x^5*ln(x))*ln(x^2)-8*x^5*ln(x)^4+(6*x^5+4*x^3)*ln(x)^3+12*x^7*ln(x)^2-6*x^7*ln(x))*ln(ln(x^2)+x^2)+(4*x^3*ln(x)^5-12*x^5*ln(x)^3+4*x^5*ln(x)^2+8*x^7*ln(x)-4*x^7)*ln(x^2)+4*x^5*ln(x)^5+(-4*x^5-4*x^3)*ln(x)^4-12*x^7*ln(x)^3+(8*x^7+4*x^5)*ln(x)^2+8*x^9*ln(x)-4*x^9)/(ln(x)^5*ln(x^2)+x^2*ln(x)^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4} \ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}+x^{2}\right)^{2}}{\ln \left(x \right)^{2}}+\frac{2 x^{4} \left(x^{2}-\ln \left(x \right)^{2}\right) \ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}+x^{2}\right)}{\ln \left(x \right)^{3}}+\frac{x^{4} \left(x^{4}-2 x^{2} \ln \left(x \right)^{2}+\ln \left(x \right)^{4}\right)}{\ln \left(x \right)^{4}}$&$130$\\ \hline \end{longtable}"," ",0,"x^4/ln(x)^2*ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2+x^2)^2+2*x^4*(x^2-ln(x)^2)/ln(x)^3*ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2+x^2)+x^4*(x^4-2*x^2*ln(x)^2+ln(x)^4)/ln(x)^4","C"
6737,1,148,23,0.176000," ","int((201326592*exp(3*x-1)*exp(exp(3*x-1))^4+((-18874368*x*exp(3)+18874368*x)*exp(3*x-1)-2097152*exp(3)+2097152)*exp(exp(3*x-1))^3+((589824*x^2*exp(3)^2-1179648*x^2*exp(3)+589824*x^2)*exp(3*x-1)+196608*x*exp(3)^2-393216*x*exp(3)+196608*x)*exp(exp(3*x-1))^2+((-6144*x^3*exp(3)^3+18432*x^3*exp(3)^2-18432*x^3*exp(3)+6144*x^3)*exp(3*x-1)-6144*x^2*exp(3)^3+18432*x^2*exp(3)^2-18432*x^2*exp(3)+6144*x^2)*exp(exp(3*x-1))+64*x^3*exp(3)^4-256*x^3*exp(3)^3+384*x^3*exp(3)^2-256*x^3*exp(3)+64*x^3)/(exp(3)^4-4*exp(3)^3+6*exp(3)^2-4*exp(3)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\left(-2097152 \,{\mathrm e}^{3}+2097152\right) x \,{\mathrm e}^{3 \,{\mathrm e}^{3 x -1}}+\left(98304 \,{\mathrm e}^{6}-196608 \,{\mathrm e}^{3}+98304\right) x^{2} {\mathrm e}^{2 \,{\mathrm e}^{3 x -1}}+\left(-2048 \,{\mathrm e}^{9}+6144 \,{\mathrm e}^{6}-6144 \,{\mathrm e}^{3}+2048\right) x^{3} {\mathrm e}^{{\mathrm e}^{3 x -1}}+16 x^{4}-64 x^{4} {\mathrm e}^{3}+96 x^{4} {\mathrm e}^{6}-64 x^{4} {\mathrm e}^{9}+16 x^{4} {\mathrm e}^{12}+16777216 \,{\mathrm e}^{4 \,{\mathrm e}^{3 x -1}}}{{\mathrm e}^{12}-4 \,{\mathrm e}^{9}+6 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+1}$&$148$\\ risch&$16 x^{4}+\frac{16777216 \,{\mathrm e}^{4 \,{\mathrm e}^{3 x -1}}}{{\mathrm e}^{12}-4 \,{\mathrm e}^{9}+6 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+1}+\frac{\left(-2097152 x \,{\mathrm e}^{3}+2097152 x \right) {\mathrm e}^{3 \,{\mathrm e}^{3 x -1}}}{{\mathrm e}^{12}-4 \,{\mathrm e}^{9}+6 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+1}+\frac{\left(98304 x^{2} {\mathrm e}^{6}-196608 x^{2} {\mathrm e}^{3}+98304 x^{2}\right) {\mathrm e}^{2 \,{\mathrm e}^{3 x -1}}}{{\mathrm e}^{12}-4 \,{\mathrm e}^{9}+6 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+1}+\frac{\left(-2048 x^{3} {\mathrm e}^{9}+6144 x^{3} {\mathrm e}^{6}-6144 x^{3} {\mathrm e}^{3}+2048 x^{3}\right) {\mathrm e}^{{\mathrm e}^{3 x -1}}}{{\mathrm e}^{12}-4 \,{\mathrm e}^{9}+6 \,{\mathrm e}^{6}-4 \,{\mathrm e}^{3}+1}$&$174$\\ \hline \end{longtable}"," ",0,"1/(exp(3)^4-4*exp(3)^3+6*exp(3)^2-4*exp(3)+1)*((-2097152*exp(3)+2097152)*x*exp(exp(3*x-1))^3+(98304*exp(3)^2-196608*exp(3)+98304)*x^2*exp(exp(3*x-1))^2+(-2048*exp(3)^3+6144*exp(3)^2-6144*exp(3)+2048)*x^3*exp(exp(3*x-1))+16*x^4-64*x^4*exp(3)+96*x^4*exp(3)^2-64*x^4*exp(3)^3+16*x^4*exp(3)^4+16777216*exp(exp(3*x-1))^4)","B"
6738,0,0,31,0.016000," ","int((((2*x^3-3*x)*ln(3)+x-1)*ln((-2*x^4+3*x^2)*ln(3)-x^2+x)+(-4*x^4+8*x^3+6*x^2-6*x)*ln(3)-2*x^2+4*x-1)/(((2*x^4-3*x^2)*ln(3)+x^2-x)*ln((-2*x^4+3*x^2)*ln(3)-x^2+x)+(-2*x^5+3*x^3)*ln(3)-x^3+x^2)/ln(-x*ln((-2*x^4+3*x^2)*ln(3)-x^2+x)+x^2),x)","\[\int \frac{\left(\left(2 x^{3}-3 x \right) \ln \left(3\right)+x -1\right) \ln \left(\left(-2 x^{4}+3 x^{2}\right) \ln \left(3\right)-x^{2}+x \right)+\left(-4 x^{4}+8 x^{3}+6 x^{2}-6 x \right) \ln \left(3\right)-2 x^{2}+4 x -1}{\left(\left(\left(2 x^{4}-3 x^{2}\right) \ln \left(3\right)+x^{2}-x \right) \ln \left(\left(-2 x^{4}+3 x^{2}\right) \ln \left(3\right)-x^{2}+x \right)+\left(-2 x^{5}+3 x^{3}\right) \ln \left(3\right)-x^{3}+x^{2}\right) \ln \left(-x \ln \left(\left(-2 x^{4}+3 x^{2}\right) \ln \left(3\right)-x^{2}+x \right)+x^{2}\right)}\, dx\]"," ",0,"int((((2*x^3-3*x)*ln(3)+x-1)*ln((-2*x^4+3*x^2)*ln(3)-x^2+x)+(-4*x^4+8*x^3+6*x^2-6*x)*ln(3)-2*x^2+4*x-1)/(((2*x^4-3*x^2)*ln(3)+x^2-x)*ln((-2*x^4+3*x^2)*ln(3)-x^2+x)+(-2*x^5+3*x^3)*ln(3)-x^3+x^2)/ln(-x*ln((-2*x^4+3*x^2)*ln(3)-x^2+x)+x^2),x)","F"
6739,1,30,32,0.085000," ","int(((2*x^4-12*x^3+30*x^2-36*x+18)*exp(5)*ln(2)+(-4*x^4+24*x^3-60*x^2+72*x-36)*exp(5)+12*x^4-84*x^3+180*x^2-180*x+108)/(3*x^5-18*x^4+45*x^3-54*x^2+27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{2 \left({\mathrm e}^{5} \ln \left(2\right)-2 \,{\mathrm e}^{5}+6\right) \ln \left(x \right)}{3}+\frac{4 x}{x^{2}-3 x +3}$&$30$\\ norman&$\frac{4 x}{x^{2}-3 x +3}+\left(\frac{2 \,{\mathrm e}^{5} \ln \left(2\right)}{3}-\frac{4 \,{\mathrm e}^{5}}{3}+4\right) \ln \left(x \right)$&$30$\\ risch&$\frac{4 x}{x^{2}-3 x +3}+\frac{2 \,{\mathrm e}^{5} \ln \left(2\right) \ln \left(x \right)}{3}-\frac{4 \,{\mathrm e}^{5} \ln \left(x \right)}{3}+4 \ln \left(x \right)$&$33$\\ \hline \end{longtable}"," ",0,"2/3*(exp(5)*ln(2)-2*exp(5)+6)*ln(x)+4*x/(x^2-3*x+3)","A"
6740,1,40,24,0.072000," ","int(((-120*x^2*exp(x^2-39*x+400)*exp(x^3)+(80*x-1560)*exp(x^2-39*x+400))*exp(20*exp(x^2-39*x+400)/exp(exp(x^3)))^2+(-120*x^2*exp(x^2-39*x+400)*exp(x^3)+(80*x-1560)*exp(x^2-39*x+400))*exp(20*exp(x^2-39*x+400)/exp(exp(x^3))))/exp(exp(x^3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{40 \,{\mathrm e}^{x^{2}-39 x +400-{\mathrm e}^{x^{3}}}}+2 \,{\mathrm e}^{20 \,{\mathrm e}^{x^{2}-39 x +400-{\mathrm e}^{x^{3}}}}$&$40$\\ \hline \end{longtable}"," ",0,"exp(40*exp(x^2-39*x+400-exp(x^3)))+2*exp(20*exp(x^2-39*x+400-exp(x^3)))","A"
6741,0,0,27,0.094000," ","int((((20*x^4-20*x^3)*(1/x)^(1/5)-20*x^7+40*x^6-20*x^5)*ln(((1/x)^(1/5)-x^3+x^2)/(x^2-x))^2+((-22*x^4+12*x^3)*(1/x)^(1/5)-10*x^7+20*x^6-10*x^5)*ln(((1/x)^(1/5)-x^3+x^2)/(x^2-x)))*exp(x^4*ln(((1/x)^(1/5)-x^3+x^2)/(x^2-x))^2)/((5*x-5)*(1/x)^(1/5)-5*x^4+10*x^3-5*x^2),x)","\[\int \frac{\left(\left(\left(20 x^{4}-20 x^{3}\right) \left(\frac{1}{x}\right)^{\frac{1}{5}}-20 x^{7}+40 x^{6}-20 x^{5}\right) \ln \left(\frac{\left(\frac{1}{x}\right)^{\frac{1}{5}}-x^{3}+x^{2}}{x^{2}-x}\right)^{2}+\left(\left(-22 x^{4}+12 x^{3}\right) \left(\frac{1}{x}\right)^{\frac{1}{5}}-10 x^{7}+20 x^{6}-10 x^{5}\right) \ln \left(\frac{\left(\frac{1}{x}\right)^{\frac{1}{5}}-x^{3}+x^{2}}{x^{2}-x}\right)\right) {\mathrm e}^{x^{4} \ln \left(\frac{\left(\frac{1}{x}\right)^{\frac{1}{5}}-x^{3}+x^{2}}{x^{2}-x}\right)^{2}}}{\left(5 x -5\right) \left(\frac{1}{x}\right)^{\frac{1}{5}}-5 x^{4}+10 x^{3}-5 x^{2}}\, dx\]"," ",0,"int((((20*x^4-20*x^3)*(1/x)^(1/5)-20*x^7+40*x^6-20*x^5)*ln(((1/x)^(1/5)-x^3+x^2)/(x^2-x))^2+((-22*x^4+12*x^3)*(1/x)^(1/5)-10*x^7+20*x^6-10*x^5)*ln(((1/x)^(1/5)-x^3+x^2)/(x^2-x)))*exp(x^4*ln(((1/x)^(1/5)-x^3+x^2)/(x^2-x))^2)/((5*x-5)*(1/x)^(1/5)-5*x^4+10*x^3-5*x^2),x)","F"
6742,1,12,30,0.025000," ","int((25*exp(x)+20+5*x)/(exp(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$5 x +20 \ln \left({\mathrm e}^{x}+x \right)$&$12$\\ risch&$5 x +20 \ln \left({\mathrm e}^{x}+x \right)$&$12$\\ \hline \end{longtable}"," ",0,"5*x+20*ln(exp(x)+x)","A"
6743,1,14,14,0.028000," ","int((-4*x^2-4*x-2)*exp(x^2+2*x+1)-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x -2 \,{\mathrm e}^{\left(x +1\right)^{2}} x$&$14$\\ default&$-2 x -2 \,{\mathrm e}^{x^{2}+2 x +1} x$&$17$\\ norman&$-2 x -2 \,{\mathrm e}^{x^{2}+2 x +1} x$&$17$\\ \hline \end{longtable}"," ",0,"-2*x-2*exp((x+1)^2)*x","A"
6744,1,145,27,0.202000," ","int((((16*x^2*ln(2)^2+16*x^3*ln(2)+4*x^4)*exp(x^2)+4*ln(2)^2+8*x*ln(2)+3*x^2)*exp(exp(x^2)+9)^2+((-64*x^2*ln(2)^2+2*((4*x^3-20*x^2)*exp(3)-32*x^3)*ln(2)+(4*x^4-20*x^3)*exp(3)-16*x^4)*exp(x^2)-32*ln(2)^2+2*((4*x-10)*exp(3)-32*x)*ln(2)+(6*x^2-20*x)*exp(3)-24*x^2)*exp(exp(x^2)+9)+64*ln(2)^2+2*((-16*x+40)*exp(3)+64*x)*ln(2)+(3*x^2-20*x+25)*exp(3)^2+(-24*x^2+80*x)*exp(3)+48*x^2)/exp(3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}-10 x^{2}-16 \ln \left(2\right) {\mathrm e}^{-3} x^{2}-8 \,{\mathrm e}^{-3} x^{3}+25 x +80 \,{\mathrm e}^{-3} \ln \left(2\right) x +40 x^{2} {\mathrm e}^{-3}+64 \,{\mathrm e}^{-6} x \ln \left(2\right)^{2}+64 \,{\mathrm e}^{-6} x^{2} \ln \left(2\right)+16 \,{\mathrm e}^{-6} x^{3}+\left(4 \ln \left(2\right)^{2}+4 x \ln \left(2\right)+x^{2}\right) x \,{\mathrm e}^{12+2 \,{\mathrm e}^{x^{2}}}+2 \left(2 \,{\mathrm e}^{3} \ln \left(2\right) x +x^{2} {\mathrm e}^{3}-10 \,{\mathrm e}^{3} \ln \left(2\right)-5 x \,{\mathrm e}^{3}-16 \ln \left(2\right)^{2}-16 x \ln \left(2\right)-4 x^{2}\right) x \,{\mathrm e}^{{\mathrm e}^{x^{2}}+3}$&$145$\\ default&${\mathrm e}^{-6} \left(x^{3} {\mathrm e}^{2 \,{\mathrm e}^{x^{2}}+18}+4 x \ln \left(2\right)^{2} {\mathrm e}^{2 \,{\mathrm e}^{x^{2}}+18}+4 x^{2} \ln \left(2\right) {\mathrm e}^{2 \,{\mathrm e}^{x^{2}}+18}+\left(-20 \,{\mathrm e}^{3} \ln \left(2\right)-32 \ln \left(2\right)^{2}\right) x \,{\mathrm e}^{{\mathrm e}^{x^{2}}+9}+\left(2 \,{\mathrm e}^{3}-8\right) x^{3} {\mathrm e}^{{\mathrm e}^{x^{2}}+9}+\left(4 \,{\mathrm e}^{3} \ln \left(2\right)-10 \,{\mathrm e}^{3}-32 \ln \left(2\right)\right) x^{2} {\mathrm e}^{{\mathrm e}^{x^{2}}+9}+{\mathrm e}^{3} \left(-8 x^{3}+40 x^{2}\right)+{\mathrm e}^{6} \left(x^{3}-10 x^{2}+25 x \right)+16 x^{3}+64 x \ln \left(2\right)^{2}-16 \ln \left(2\right) x^{2} {\mathrm e}^{3}+80 \,{\mathrm e}^{3} \ln \left(2\right) x +64 x^{2} \ln \left(2\right)\right)$&$183$\\ norman&$\left(\left({\mathrm e}^{6}-8 \,{\mathrm e}^{3}+16\right) {\mathrm e}^{-3} x^{3}+\left(25 \,{\mathrm e}^{6}+64 \ln \left(2\right)^{2}+80 \,{\mathrm e}^{3} \ln \left(2\right)\right) {\mathrm e}^{-3} x +{\mathrm e}^{-3} x^{3} {\mathrm e}^{2 \,{\mathrm e}^{x^{2}}+18}-2 \left(5 \,{\mathrm e}^{6}+8 \,{\mathrm e}^{3} \ln \left(2\right)-20 \,{\mathrm e}^{3}-32 \ln \left(2\right)\right) {\mathrm e}^{-3} x^{2}+2 \left({\mathrm e}^{3}-4\right) {\mathrm e}^{-3} x^{3} {\mathrm e}^{{\mathrm e}^{x^{2}}+9}+2 \left(2 \,{\mathrm e}^{3} \ln \left(2\right)-5 \,{\mathrm e}^{3}-16 \ln \left(2\right)\right) {\mathrm e}^{-3} x^{2} {\mathrm e}^{{\mathrm e}^{x^{2}}+9}+4 \,{\mathrm e}^{-3} \ln \left(2\right)^{2} x \,{\mathrm e}^{2 \,{\mathrm e}^{x^{2}}+18}+4 \ln \left(2\right) {\mathrm e}^{-3} x^{2} {\mathrm e}^{2 \,{\mathrm e}^{x^{2}}+18}-4 \ln \left(2\right) \left(5 \,{\mathrm e}^{3}+8 \ln \left(2\right)\right) {\mathrm e}^{-3} x \,{\mathrm e}^{{\mathrm e}^{x^{2}}+9}\right) {\mathrm e}^{-3}$&$213$\\ \hline \end{longtable}"," ",0,"x^3-10*x^2-16*ln(2)*exp(-3)*x^2-8*exp(-3)*x^3+25*x+80*exp(-3)*ln(2)*x+40*x^2*exp(-3)+64*exp(-6)*x*ln(2)^2+64*exp(-6)*x^2*ln(2)+16*exp(-6)*x^3+(4*ln(2)^2+4*x*ln(2)+x^2)*x*exp(12+2*exp(x^2))+2*(2*exp(3)*ln(2)*x+x^2*exp(3)-10*exp(3)*ln(2)-5*x*exp(3)-16*ln(2)^2-16*x*ln(2)-4*x^2)*x*exp(exp(x^2)+3)","B"
6745,1,104,22,0.163000," ","int(((-x^3+2*x^2-15*x)*exp(x)-12*x^2-60)*exp(1/3*(x*ln(1/16*exp(x)^2*x^2+1/2*exp(x)*x+1)-3*x^2+15)/x)/(3*exp(x)*x^3+12*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2^{\frac{2}{3}} \left({\mathrm e}^{x} x +4\right)^{\frac{2}{3}} {\mathrm e}^{-\frac{i x \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x} x +4\right)^{2}\right)^{3}-2 i x \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x} x +4\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} x +4\right)\right)+i x \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x} x +4\right)^{2}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x} x +4\right)\right)^{2}+6 x^{2}-30}{6 x}}}{4}$&$104$\\ \hline \end{longtable}"," ",0,"1/4*2^(2/3)*(exp(x)*x+4)^(2/3)*exp(-1/6*(I*x*Pi*csgn(I*(exp(x)*x+4)^2)^3-2*I*x*Pi*csgn(I*(exp(x)*x+4)^2)^2*csgn(I*(exp(x)*x+4))+I*x*Pi*csgn(I*(exp(x)*x+4)^2)*csgn(I*(exp(x)*x+4))^2+6*x^2-30)/x)","C"
6746,1,18,22,0.041000," ","int(((x^2*exp(4)+x^2)*exp(x)+(2*x+1)*exp(3-x))/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +x \,{\mathrm e}^{4}-\frac{{\mathrm e}^{3-2 x}}{x}$&$18$\\ norman&$\frac{\left(\left({\mathrm e}^{4}+1\right) x^{2} {\mathrm e}^{2 x}-{\mathrm e}^{3}\right) {\mathrm e}^{-2 x}}{x}$&$26$\\ default&$x +{\mathrm e}^{3} \left(-\frac{{\mathrm e}^{-2 x}}{x}+2 \expIntegralEi \left(1, 2 x \right)\right)-2 \,{\mathrm e}^{3} \expIntegralEi \left(1, 2 x \right)+x \,{\mathrm e}^{4}$&$36$\\ \hline \end{longtable}"," ",0,"x+x*exp(4)-1/x*exp(3-2*x)","A"
6747,1,17,15,0.090000," ","int(1/12*(11*x^2+12)*exp(1/12*(11*x^2+28*x-12)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{11 x^{2}+28 x -12}{12 x}}$&$17$\\ norman&${\mathrm e}^{\frac{11 x^{2}+28 x -12}{12 x}}$&$17$\\ risch&${\mathrm e}^{\frac{11 x^{2}+28 x -12}{12 x}}$&$17$\\ \hline \end{longtable}"," ",0,"exp(1/12*(11*x^2+28*x-12)/x)","A"
6748,1,52,27,0.069000," ","int((2*x^2*exp(4+x)^2*exp(exp(16)/x)*exp(3/x/exp(exp(16)/x))^2+((4*x^3+4*x^2)*exp(4+x)*exp(exp(16)/x)+(-12*exp(16)+12*x)*exp(4+x))*exp(3/x/exp(exp(16)/x))+8*x^3*exp(exp(16)/x)-24*x*exp(16)+24*x^2)/x^2/exp(exp(16)/x)/exp(3/x/exp(exp(16)/x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x +8}+4 x \,{\mathrm e}^{\frac{x^{2}-3 \,{\mathrm e}^{-\frac{{\mathrm e}^{16}}{x}}+4 x}{x}}+4 x^{2} {\mathrm e}^{-\frac{6 \,{\mathrm e}^{-\frac{{\mathrm e}^{16}}{x}}}{x}}$&$52$\\ \hline \end{longtable}"," ",0,"exp(2*x+8)+4*x*exp((x^2-3*exp(-exp(16)/x)+4*x)/x)+4*x^2*exp(-6/x*exp(-exp(16)/x))","A"
6749,1,14,14,0.083000," ","int((10*x^2+58*x+75)/(20+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+\frac{18 x}{5}+\frac{3 \ln \left(4+x \right)}{5}$&$14$\\ risch&$x^{2}+\frac{18 x}{5}+\frac{3 \ln \left(4+x \right)}{5}$&$14$\\ norman&$x^{2}+\frac{18 x}{5}+\frac{3 \ln \left(20+5 x \right)}{5}$&$16$\\ meijerg&$\frac{3 \ln \left(1+\frac{x}{4}\right)}{5}-\frac{4 x \left(-\frac{3 x}{4}+6\right)}{3}+\frac{58 x}{5}$&$21$\\ \hline \end{longtable}"," ",0,"x^2+18/5*x+3/5*ln(4+x)","A"
6750,1,18,17,0.048000," ","int(((6*x^3-2*x+1)*exp(-2*x^3+2*x-7)-3)/(exp(-2*x^3+2*x-7)^2-6*exp(-2*x^3+2*x-7)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{{\mathrm e}^{-2 x^{3}+2 x -7}-3}$&$18$\\ risch&$\frac{x}{{\mathrm e}^{-2 x^{3}+2 x -7}-3}$&$18$\\ \hline \end{longtable}"," ",0,"x/(exp(-2*x^3+2*x-7)-3)","A"
6751,1,20,22,0.102000," ","int(((x^2+8*x+16)*exp(5)-x^2-8*x-34)/((x^2+8*x+16)*exp(5)-x^2-8*x-16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{18}{x \,{\mathrm e}^{5}+4 \,{\mathrm e}^{5}-x -4}$&$20$\\ default&$\frac{x \,{\mathrm e}^{5}-x +\frac{18}{4+x}}{{\mathrm e}^{5}-1}$&$23$\\ norman&$\frac{x^{2}-\frac{2 \left(8 \,{\mathrm e}^{5}-17\right)}{{\mathrm e}^{5}-1}}{4+x}$&$25$\\ gosper&$\frac{x^{2} {\mathrm e}^{5}-x^{2}-16 \,{\mathrm e}^{5}+34}{x \,{\mathrm e}^{5}+4 \,{\mathrm e}^{5}-x -4}$&$34$\\ meijerg&$-\frac{17 x}{8 \left({\mathrm e}^{5}-1\right) \left(1+\frac{x}{4}\right)}+\frac{x \left(\frac{3 x}{4}+6\right)}{3+\frac{3 x}{4}}-8 \ln \left(1+\frac{x}{4}\right)+\frac{\left(8 \,{\mathrm e}^{5}-8\right) \left(-\frac{x}{4 \left(1+\frac{x}{4}\right)}+\ln \left(1+\frac{x}{4}\right)\right)}{{\mathrm e}^{5}-1}+\frac{{\mathrm e}^{5} x}{\left({\mathrm e}^{5}-1\right) \left(1+\frac{x}{4}\right)}$&$88$\\ \hline \end{longtable}"," ",0,"x+18/(x*exp(5)+4*exp(5)-x-4)","A"
6752,1,33,28,0.086000," ","int(1/5*((40*x^3+40*x^2)*exp(x)^2*exp(4*exp(x)^2*x^2+3)+x*ln(5/x)-2*ln(2)-x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{2 \ln \left(2\right) \ln \left(x \right)}{5}-\frac{\ln \left(x \right)}{5}+{\mathrm e}^{4 \,{\mathrm e}^{2 x} x^{2}+3}+\frac{x \ln \left(\frac{5}{x}\right)}{5}$&$33$\\ risch&$-\frac{x \ln \left(x \right)}{5}+\frac{x \ln \left(5\right)}{5}-\frac{2 \ln \left(2\right) \ln \left(x \right)}{5}-\frac{\ln \left(x \right)}{5}+{\mathrm e}^{4 \,{\mathrm e}^{2 x} x^{2}+3}$&$34$\\ \hline \end{longtable}"," ",0,"-2/5*ln(2)*ln(x)-1/5*ln(x)+exp(4*exp(x)^2*x^2+3)+1/5*x*ln(5/x)","A"
6753,1,11,13,0.073000," ","int((3*x+2)/(x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x -\ln \left(x +1\right)$&$11$\\ norman&$3 x -\ln \left(x +1\right)$&$11$\\ meijerg&$3 x -\ln \left(x +1\right)$&$11$\\ risch&$3 x -\ln \left(x +1\right)$&$11$\\ \hline \end{longtable}"," ",0,"3*x-ln(x+1)","A"
6754,1,17,16,0.047000," ","int((-ln(x)^2-225*ln(x)+225)/(x^2*exp(1)*ln(x)^2+450*x^2*exp(1)*ln(x)+50625*x^2*exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(x \right) {\mathrm e}^{-1}}{x \left(\ln \left(x \right)+225\right)}$&$17$\\ risch&$\frac{{\mathrm e}^{-1}}{x}-\frac{225 \,{\mathrm e}^{-1}}{x \left(\ln \left(x \right)+225\right)}$&$21$\\ \hline \end{longtable}"," ",0,"ln(x)/exp(1)/x/(ln(x)+225)","A"
6755,1,38,24,0.053000," ","int(((2*x+2)*ln(3)*exp(x)^2+(4*x^2+2*x)*ln(3)*exp(x)+(2*x^3+2*x^2-2*x)*ln(3))*exp(((exp(x)+x)*ln(x)+(5+x)*exp(x)+x^2+5*x+1)/(exp(x)+x))/(3*x*exp(x)^2+6*exp(x)*x^2+3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(3\right) {\mathrm e}^{\frac{{\mathrm e}^{x} \ln \left(x \right)+x \ln \left(x \right)+{\mathrm e}^{x} x +x^{2}+5 \,{\mathrm e}^{x}+5 x +1}{{\mathrm e}^{x}+x}}}{3}$&$38$\\ \hline \end{longtable}"," ",0,"2/3*ln(3)*exp((exp(x)*ln(x)+x*ln(x)+exp(x)*x+x^2+5*exp(x)+5*x+1)/(exp(x)+x))","A"
6756,1,26,22,0.055000," ","int(((-4*x^3+3*x^2-32*x+20)*ln(1/4*(4*x^3-3*x^2+32*x-20)/x)+8*x^3-3*x^2+20)/(4*x^5-3*x^4+32*x^3-20*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(\frac{4 x^{3}-3 x^{2}+32 x -20}{4 x}\right)}{x}$&$26$\\ risch&$\frac{\ln \left(\frac{4 x^{3}-3 x^{2}+32 x -20}{4 x}\right)}{x}$&$26$\\ default&$\frac{\ln \left(\frac{4 x^{3}-3 x^{2}+32 x -20}{x}\right)}{x}-\frac{2 \ln \left(2\right)}{x}$&$33$\\ \hline \end{longtable}"," ",0,"ln(1/4*(4*x^3-3*x^2+32*x-20)/x)/x","A"
6757,1,15,14,0.021000," ","int((-24*x*ln(3)-12*exp(2))/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{12 x \left(x \ln \left(3\right)+{\mathrm e}^{2}\right)}{\ln \left(3\right)}$&$15$\\ norman&$-12 x^{2}-\frac{12 \,{\mathrm e}^{2} x}{\ln \left(3\right)}$&$16$\\ risch&$-12 x^{2}-\frac{12 \,{\mathrm e}^{2} x}{\ln \left(3\right)}$&$16$\\ default&$\frac{-12 x^{2} \ln \left(3\right)-12 \,{\mathrm e}^{2} x}{\ln \left(3\right)}$&$19$\\ \hline \end{longtable}"," ",0,"-12*x*(x*ln(3)+exp(2))/ln(3)","A"
6758,0,0,19,0.012000," ","int(((8*x+4)*ln((4*x+2)/x)+x)/((2*x^3+x^2)*ln((4*x+2)/x)*ln(ln((4*x+2)/x))^2+(16*x^2+8*x)*ln((4*x+2)/x)*ln(ln((4*x+2)/x))+(32*x+16)*ln((4*x+2)/x)),x)","\[\int \frac{\left(8 x +4\right) \ln \left(\frac{4 x +2}{x}\right)+x}{\left(2 x^{3}+x^{2}\right) \ln \left(\frac{4 x +2}{x}\right) \ln \left(\ln \left(\frac{4 x +2}{x}\right)\right)^{2}+\left(16 x^{2}+8 x \right) \ln \left(\frac{4 x +2}{x}\right) \ln \left(\ln \left(\frac{4 x +2}{x}\right)\right)+\left(32 x +16\right) \ln \left(\frac{4 x +2}{x}\right)}\, dx\]"," ",0,"int(((8*x+4)*ln((4*x+2)/x)+x)/((2*x^3+x^2)*ln((4*x+2)/x)*ln(ln((4*x+2)/x))^2+(16*x^2+8*x)*ln((4*x+2)/x)*ln(ln((4*x+2)/x))+(32*x+16)*ln((4*x+2)/x)),x)","F"
6759,1,13,12,0.079000," ","int(-4*exp(16)/(5*x+5)/ln(-x-1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{4 \,{\mathrm e}^{16}}{5 \ln \left(-x -1\right)}$&$13$\\ default&$\frac{4 \,{\mathrm e}^{16}}{5 \ln \left(-x -1\right)}$&$13$\\ norman&$\frac{4 \,{\mathrm e}^{16}}{5 \ln \left(-x -1\right)}$&$13$\\ risch&$\frac{4 \,{\mathrm e}^{16}}{5 \ln \left(-x -1\right)}$&$13$\\ \hline \end{longtable}"," ",0,"4/5*exp(16)/ln(-x-1)","A"
6760,1,38,25,0.100000," ","int(((-x^3-14*x^2-9*x+324)*exp(2)-2*x^4-26*x^3+37*x^2+852*x-1461)/(x^2+18*x+81)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\left({\mathrm e}^{2}+12\right) x^{2}+\left(6 \,{\mathrm e}^{2}-79\right) x +2 x^{3}+75-27 \,{\mathrm e}^{2}\right) {\mathrm e}^{-x}}{x +9}$&$38$\\ gosper&$\frac{\left(x^{2} {\mathrm e}^{2}+2 x^{3}+6 \,{\mathrm e}^{2} x +12 x^{2}-27 \,{\mathrm e}^{2}-79 x +75\right) {\mathrm e}^{-x}}{x +9}$&$41$\\ risch&$\frac{\left(x^{2} {\mathrm e}^{2}+2 x^{3}+6 \,{\mathrm e}^{2} x +12 x^{2}-27 \,{\mathrm e}^{2}-79 x +75\right) {\mathrm e}^{-x}}{x +9}$&$41$\\ default&$\frac{300 \,{\mathrm e}^{-x}}{x +9}-37 \,{\mathrm e}^{-x}+26 \left(x -17\right) {\mathrm e}^{-x}+2 \left(x^{2}-16 x +227\right) {\mathrm e}^{-x}+324 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{-x}}{x +9}+{\mathrm e}^{9} \expIntegralEi \left(1, x +9\right)\right)-14 \,{\mathrm e}^{2} \left(-{\mathrm e}^{-x}-\frac{81 \,{\mathrm e}^{-x}}{x +9}+99 \,{\mathrm e}^{9} \expIntegralEi \left(1, x +9\right)\right)-{\mathrm e}^{2} \left(-\left(x -17\right) {\mathrm e}^{-x}+\frac{729 \,{\mathrm e}^{-x}}{x +9}-972 \,{\mathrm e}^{9} \expIntegralEi \left(1, x +9\right)\right)-9 \,{\mathrm e}^{2} \left(\frac{9 \,{\mathrm e}^{-x}}{x +9}-10 \,{\mathrm e}^{9} \expIntegralEi \left(1, x +9\right)\right)$&$156$\\ \hline \end{longtable}"," ",0,"((exp(2)+12)*x^2+(6*exp(2)-79)*x+2*x^3+75-27*exp(2))/(x+9)/exp(x)","A"
6761,1,37,29,0.298000," ","int(((-4*x*exp(5)^2*ln(ln(3))+(-12*x-4)*exp(5)^2)*ln((ln(ln(3))*x+3*x+1)/x)^2+(5*x*exp(5)^2*ln(ln(3))+(15*x+5)*exp(5)^2)*ln((ln(ln(3))*x+3*x+1)/x)-x*exp(5)^2*ln(ln(3))+(-3*x-4)*exp(5)^2)/((16*x^3*ln(ln(3))+48*x^3+16*x^2)*ln((ln(ln(3))*x+3*x+1)/x)^2+(-8*x^3*ln(ln(3))-24*x^3-8*x^2)*ln((ln(ln(3))*x+3*x+1)/x)+x^3*ln(ln(3))+3*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{10}}{4 x}-\frac{3 \,{\mathrm e}^{10}}{4 x \left(-1+4 \ln \left(\frac{\ln \left(\ln \left(3\right)\right) x +3 x +1}{x}\right)\right)}$&$37$\\ norman&$\frac{{\mathrm e}^{10} \ln \left(\frac{\ln \left(\ln \left(3\right)\right) x +3 x +1}{x}\right)-{\mathrm e}^{10}}{x \left(-1+4 \ln \left(\frac{\ln \left(\ln \left(3\right)\right) x +3 x +1}{x}\right)\right)}$&$53$\\ derivativedivides&$\frac{3 \,{\mathrm e}^{10} \ln \left(\ln \left(3\right)\right)}{4 \left(4 \ln \left(3+\frac{1}{x}+\ln \left(\ln \left(3\right)\right)\right)-1\right)}+\frac{9 \,{\mathrm e}^{10}}{4 \left(4 \ln \left(3+\frac{1}{x}+\ln \left(\ln \left(3\right)\right)\right)-1\right)}-\frac{3 \,{\mathrm e}^{10} \left(3+\frac{1}{x}+\ln \left(\ln \left(3\right)\right)\right)}{16 \left(\ln \left(3+\frac{1}{x}+\ln \left(\ln \left(3\right)\right)\right)-\frac{1}{4}\right)}+\frac{{\mathrm e}^{10} \left(3+\frac{1}{x}+\ln \left(\ln \left(3\right)\right)\right)}{4}$&$82$\\ default&$\frac{3 \,{\mathrm e}^{10} \ln \left(\ln \left(3\right)\right)}{4 \left(4 \ln \left(3+\frac{1}{x}+\ln \left(\ln \left(3\right)\right)\right)-1\right)}+\frac{9 \,{\mathrm e}^{10}}{4 \left(4 \ln \left(3+\frac{1}{x}+\ln \left(\ln \left(3\right)\right)\right)-1\right)}-\frac{3 \,{\mathrm e}^{10} \left(3+\frac{1}{x}+\ln \left(\ln \left(3\right)\right)\right)}{16 \left(\ln \left(3+\frac{1}{x}+\ln \left(\ln \left(3\right)\right)\right)-\frac{1}{4}\right)}+\frac{{\mathrm e}^{10} \left(3+\frac{1}{x}+\ln \left(\ln \left(3\right)\right)\right)}{4}$&$82$\\ \hline \end{longtable}"," ",0,"1/4*exp(10)/x-3/4/x*exp(10)/(-1+4*ln((ln(ln(3))*x+3*x+1)/x))","A"
6762,1,37,32,0.093000," ","int(1/875*(40*x^3-120*x^2+80*x)*exp(1/25*x^4-4/25*x^3+4/25*x^2)^2+1/875*(8*x^4-24*x^3+16*x^2+50)*exp(1/25*x^4-4/25*x^3+4/25*x^2)-48/175*x-4/7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x}{7}-\frac{24 x^{2}}{175}+\frac{{\mathrm e}^{\frac{2 x^{2} \left(x -2\right)^{2}}{25}}}{7}+\frac{2 \,{\mathrm e}^{\frac{x^{2} \left(x -2\right)^{2}}{25}} x}{35}$&$37$\\ default&$-\frac{4 x}{7}-\frac{24 x^{2}}{175}+\frac{{\mathrm e}^{\frac{2}{25} x^{4}-\frac{8}{25} x^{3}+\frac{8}{25} x^{2}}}{7}+\frac{2 \,{\mathrm e}^{\frac{1}{25} x^{4}-\frac{4}{25} x^{3}+\frac{4}{25} x^{2}} x}{35}$&$51$\\ norman&$-\frac{4 x}{7}-\frac{24 x^{2}}{175}+\frac{{\mathrm e}^{\frac{2}{25} x^{4}-\frac{8}{25} x^{3}+\frac{8}{25} x^{2}}}{7}+\frac{2 \,{\mathrm e}^{\frac{1}{25} x^{4}-\frac{4}{25} x^{3}+\frac{4}{25} x^{2}} x}{35}$&$51$\\ \hline \end{longtable}"," ",0,"-4/7*x-24/175*x^2+1/7*exp(2/25*x^2*(x-2)^2)+2/35*exp(1/25*x^2*(x-2)^2)*x","A"
6763,1,24,30,0.154000," ","int((-17*x*exp(2)*ln(x)+(8*x^4-375*x^3+4078*x^2-2117*x+1940)*exp(2))*exp(((x-20)*exp(2)*ln(x)+(x^3-21*x^2+20*x)*exp(2))/(4*x-97))/(16*x^3-776*x^2+9409*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{2} \left(x -20\right) \left(x^{2}+\ln \left(x \right)-x \right)}{4 x -97}}$&$24$\\ norman&$\frac{4 x \,{\mathrm e}^{\frac{\left(x -20\right) {\mathrm e}^{2} \ln \left(x \right)+\left(x^{3}-21 x^{2}+20 x \right) {\mathrm e}^{2}}{4 x -97}}-97 \,{\mathrm e}^{\frac{\left(x -20\right) {\mathrm e}^{2} \ln \left(x \right)+\left(x^{3}-21 x^{2}+20 x \right) {\mathrm e}^{2}}{4 x -97}}}{4 x -97}$&$81$\\ \hline \end{longtable}"," ",0,"exp(exp(2)*(x-20)*(x^2+ln(x)-x)/(4*x-97))","A"
6764,1,24,31,0.066000," ","int(((-2*x^3*exp(4)+2*x^3*exp(1)+x^3-x^2)*exp(x)*exp(x*exp(4)-x*exp(1))^2+(3*x+3)*exp(x))/(x^4*exp(x*exp(4)-x*exp(1))^4+6*x^2*exp(x*exp(4)-x*exp(1))^2+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x} x}{x^{2} {\mathrm e}^{-2 x \left(-{\mathrm e}^{4}+{\mathrm e}\right)}+3}$&$24$\\ \hline \end{longtable}"," ",0,"exp(x)*x/(x^2*exp(-2*x*(-exp(4)+exp(1)))+3)","A"
6765,1,13,12,0.022000," ","int(1/15625*(-703125*x^3*ln(x)^5-36)/x/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-15 x^{3}+\frac{9}{15625 \ln \left(x \right)^{4}}$&$13$\\ risch&$-15 x^{3}+\frac{9}{15625 \ln \left(x \right)^{4}}$&$13$\\ norman&$\frac{\frac{9}{15625}-15 x^{3} \ln \left(x \right)^{4}}{\ln \left(x \right)^{4}}$&$17$\\ \hline \end{longtable}"," ",0,"-15*x^3+9/15625/ln(x)^4","A"
6766,1,26,20,0.109000," ","int(((64*x*exp(1)-64*x^2)*ln(x-exp(1))-8*exp(exp(3)^2)-32*x^2)/(exp(1)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$32 \ln \left(x -{\mathrm e}\right) x^{2}+8 \,{\mathrm e}^{{\mathrm e}^{6}} \ln \left(x -{\mathrm e}\right)$&$26$\\ norman&$32 \ln \left(x -{\mathrm e}\right) x^{2}+8 \,{\mathrm e}^{{\mathrm e}^{6}} \ln \left(x -{\mathrm e}\right)$&$28$\\ derivativedivides&$64 \,{\mathrm e} \left(\left(x -{\mathrm e}\right) \ln \left(x -{\mathrm e}\right)-x +{\mathrm e}\right)+32 \ln \left(x -{\mathrm e}\right) \left(x -{\mathrm e}\right)^{2}+32 \ln \left(x -{\mathrm e}\right) {\mathrm e}^{2}+64 \,{\mathrm e} \left(x -{\mathrm e}\right)+8 \,{\mathrm e}^{{\mathrm e}^{6}} \ln \left(x -{\mathrm e}\right)$&$80$\\ default&$64 \,{\mathrm e} \left(\left(x -{\mathrm e}\right) \ln \left(x -{\mathrm e}\right)-x +{\mathrm e}\right)+32 \ln \left(x -{\mathrm e}\right) \left(x -{\mathrm e}\right)^{2}+32 \ln \left(x -{\mathrm e}\right) {\mathrm e}^{2}+64 \,{\mathrm e} \left(x -{\mathrm e}\right)+8 \,{\mathrm e}^{{\mathrm e}^{6}} \ln \left(x -{\mathrm e}\right)$&$80$\\ \hline \end{longtable}"," ",0,"32*ln(x-exp(1))*x^2+8*exp(exp(6))*ln(x-exp(1))","A"
6767,1,162,40,1.404000," ","int(((-x*ln(2)-2*x)*exp(x/(ln(2)+2-x))*exp(25*ln(x^2)^2-150*ln(x^2)+225)^2+((-50*ln(2)^2+(100*x-200)*ln(2)-50*x^2+200*x-200)*ln(x^2)+(2*x*ln(2)+4*x)*exp(x/(ln(2)+2-x))+150*ln(2)^2+(-300*x+600)*ln(2)+150*x^2-600*x+600)*exp(25*ln(x^2)^2-150*ln(x^2)+225)+(-x*ln(2)-2*x)*exp(x/(ln(2)+2-x)))/((x*ln(2)^2+(-2*x^2+4*x)*ln(2)+x^3-4*x^2+4*x)*exp(25*ln(x^2)^2-150*ln(x^2)+225)^2+(-2*x*ln(2)^2+(4*x^2-8*x)*ln(2)-2*x^3+8*x^2-8*x)*exp(25*ln(x^2)^2-150*ln(x^2)+225)+x*ln(2)^2+(-2*x^2+4*x)*ln(2)+x^3-4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{x}{\ln \left(2\right)+2-x}}+\frac{1}{\frac{2 x^{-100 i \pi  \,\mathrm{csgn}\left(i x^{2}\right)} x^{100 i \pi  \,\mathrm{csgn}\left(i x \right)} {\mathrm e}^{100 \ln \left(x \right)^{2}+225} {\mathrm e}^{-\frac{25 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}}{4}} {\mathrm e}^{25 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{5} \mathrm{csgn}\left(i x \right)} {\mathrm e}^{-\frac{75 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}}{2}} {\mathrm e}^{25 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)^{3}} {\mathrm e}^{-\frac{25 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{4}}{4}}}{x^{300}}-2}$&$162$\\ \hline \end{longtable}"," ",0,"-exp(x/(ln(2)+2-x))+1/2/(1/x^300*(x^(-50*I*Pi*csgn(I*x^2)))^2*x^(100*I*Pi*csgn(I*x))*exp(100*ln(x)^2+225)*exp(-25/4*Pi^2*csgn(I*x^2)^6)*exp(25*Pi^2*csgn(I*x^2)^5*csgn(I*x))*exp(-75/2*Pi^2*csgn(I*x^2)^4*csgn(I*x)^2)*exp(25*Pi^2*csgn(I*x^2)^3*csgn(I*x)^3)*exp(-25/4*Pi^2*csgn(I*x^2)^2*csgn(I*x)^4)-1)","C"
6768,1,50,22,0.027000," ","int((24*x^5+120*x^4+144*x^3)*ln(3)^2+(64*x^3-36*x^2-360*x)*ln(3)+32*x-120,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(3\right)^{2} \left(4 x^{6}+24 x^{5}+36 x^{4}\right)+\ln \left(3\right) \left(16 x^{4}-12 x^{3}-180 x^{2}\right)+16 x^{2}-120 x$&$50$\\ gosper&$4 x \left(x^{5} \ln \left(3\right)^{2}+6 x^{4} \ln \left(3\right)^{2}+9 x^{3} \ln \left(3\right)^{2}+4 x^{3} \ln \left(3\right)-3 x^{2} \ln \left(3\right)-45 x \ln \left(3\right)+4 x -30\right)$&$54$\\ norman&$\left(36 \ln \left(3\right)^{2}+16 \ln \left(3\right)\right) x^{4}+\left(-180 \ln \left(3\right)+16\right) x^{2}-120 x -12 x^{3} \ln \left(3\right)+24 x^{5} \ln \left(3\right)^{2}+4 x^{6} \ln \left(3\right)^{2}$&$55$\\ risch&$4 x^{6} \ln \left(3\right)^{2}+24 x^{5} \ln \left(3\right)^{2}+36 x^{4} \ln \left(3\right)^{2}+16 x^{4} \ln \left(3\right)-12 x^{3} \ln \left(3\right)-180 x^{2} \ln \left(3\right)+16 x^{2}-120 x$&$58$\\ \hline \end{longtable}"," ",0,"ln(3)^2*(4*x^6+24*x^5+36*x^4)+ln(3)*(16*x^4-12*x^3-180*x^2)+16*x^2-120*x","B"
6769,1,13,13,0.017000," ","int(-10*exp(2*x+1)+50,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$50 x -5 \,{\mathrm e}^{2 x +1}$&$13$\\ norman&$50 x -5 \,{\mathrm e}^{2 x +1}$&$13$\\ risch&$50 x -5 \,{\mathrm e}^{2 x +1}$&$13$\\ derivativedivides&$-5 \,{\mathrm e}^{2 x +1}+25 \ln \left({\mathrm e}^{2 x +1}\right)$&$19$\\ \hline \end{longtable}"," ",0,"50*x-5*exp(2*x+1)","A"
6770,1,42,27,0.072000," ","int((((2*x^2-8*x+1)*ln(x)^2+(x^3-2*x^2+x)*ln(x)-x^3+2*x^2-x)*exp((5*ln(x)+x^2-x)/(x-1)/ln(x))+(6*x^3-10*x^2+4*x)*ln(x)^2)/(x-1)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{3}-2 x^{2}+\left(x^{2}-x \right) {\mathrm e}^{\frac{5 \ln \left(x \right)+x^{2}-x}{\left(x -1\right) \ln \left(x \right)}}$&$42$\\ \hline \end{longtable}"," ",0,"2*x^3-2*x^2+(x^2-x)*exp((5*ln(x)+x^2-x)/(x-1)/ln(x))","A"
6771,0,0,14,0.019000," ","int((1-x)/((2*x*ln(4/x)+2*x^2)*ln(ln(4/x)+x)^2+(x*ln(4/x)+x^2)*ln(ln(4/x)+x)),x)","\[\int \frac{1-x}{\left(2 x \ln \left(\frac{4}{x}\right)+2 x^{2}\right) \ln \left(\ln \left(\frac{4}{x}\right)+x \right)^{2}+\left(x \ln \left(\frac{4}{x}\right)+x^{2}\right) \ln \left(\ln \left(\frac{4}{x}\right)+x \right)}\, dx\]"," ",0,"int((1-x)/((2*x*ln(4/x)+2*x^2)*ln(ln(4/x)+x)^2+(x*ln(4/x)+x^2)*ln(ln(4/x)+x)),x)","F"
6772,1,22,24,0.189000," ","int((((x^2-3*x)*ln(3-x)-x*exp(3)-x^2)*exp(-ln(ln(3-x))+exp(exp(5)))*exp((exp(3)+x)*exp(-ln(ln(3-x))+exp(exp(5))))+(x-3)*ln(3-x))/(x^2-3*x)/ln(3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)+{\mathrm e}^{\frac{\left({\mathrm e}^{3}+x \right) {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{5}}}}{\ln \left(3-x \right)}}$&$22$\\ norman&$\ln \left(x \right)+{\mathrm e}^{\frac{\left({\mathrm e}^{3}+x \right) {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{5}}}}{\ln \left(3-x \right)}}$&$22$\\ risch&$\ln \left(x \right)+{\mathrm e}^{\frac{\left({\mathrm e}^{3}+x \right) {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{5}}}}{\ln \left(3-x \right)}}$&$22$\\ \hline \end{longtable}"," ",0,"ln(x)+exp((exp(3)+x)/ln(3-x)*exp(exp(exp(5))))","A"
6773,1,261,25,0.227000," ","int(((2*(4*x^2-4*x)*ln(2)*ln(x)*exp(8*ln(2)/exp(x))+x*exp(x)*ln(x))*ln(2*x/ln(x))+((1-x)*exp(x)*ln(x)+(x-1)*exp(x))*exp(8*ln(2)/exp(x))+(x-1)*exp(x)*ln(x-1)*ln(x)+(1-x)*exp(x)*ln(x-1))/(x^2-x)/exp(x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-\ln \left(x -1\right)+256^{{\mathrm e}^{-x}}\right) \ln \left(\ln \left(x \right)\right)+\ln \left(x -1\right) \ln \left(x \right)-\frac{i 256^{{\mathrm e}^{-x}} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}}{2}+\frac{i 256^{{\mathrm e}^{-x}} \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}}{2}+\frac{i 256^{{\mathrm e}^{-x}} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)}{2}-\frac{i 256^{{\mathrm e}^{-x}} \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}}{2}-\frac{i \pi  \ln \left(x -1\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}}{2}+\frac{i \pi  \ln \left(x -1\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}}{2}+\frac{i \pi  \ln \left(x -1\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2}}{2}-\frac{i \pi  \ln \left(x -1\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)}{2}+\ln \left(2\right) \ln \left(x -1\right)-256^{{\mathrm e}^{-x}} \ln \left(2\right)-256^{{\mathrm e}^{-x}} \ln \left(x \right)$&$261$\\ \hline \end{longtable}"," ",0,"(-ln(x-1)+256^exp(-x))*ln(ln(x))+ln(x-1)*ln(x)-1/2*I*256^exp(-x)*Pi*csgn(I*x)*csgn(I*x/ln(x))^2+1/2*I*256^exp(-x)*Pi*csgn(I*x/ln(x))^3+1/2*I*256^exp(-x)*Pi*csgn(I*x)*csgn(I/ln(x))*csgn(I*x/ln(x))-1/2*I*256^exp(-x)*Pi*csgn(I/ln(x))*csgn(I*x/ln(x))^2-1/2*I*Pi*ln(x-1)*csgn(I*x/ln(x))^3+1/2*I*Pi*ln(x-1)*csgn(I*x)*csgn(I*x/ln(x))^2+1/2*I*Pi*ln(x-1)*csgn(I/ln(x))*csgn(I*x/ln(x))^2-1/2*I*Pi*ln(x-1)*csgn(I*x)*csgn(I/ln(x))*csgn(I*x/ln(x))+ln(2)*ln(x-1)-256^exp(-x)*ln(2)-256^exp(-x)*ln(x)","C"
6774,1,15,15,0.042000," ","int((-20*ln(2)-5)*exp(4*x*ln(2)+x)/(exp(4*x*ln(2)+x)^2-2*exp(4*x*ln(2)+x)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5}{{\mathrm e}^{4 x \ln \left(2\right)+x}-1}$&$15$\\ derivativedivides&$-\frac{5 \left(-4 \ln \left(2\right)-1\right)}{\left(1+4 \ln \left(2\right)\right) \left({\mathrm e}^{4 x \ln \left(2\right)+x}-1\right)}$&$29$\\ default&$-\frac{-20 \ln \left(2\right)-5}{\left(1+4 \ln \left(2\right)\right) \left({\mathrm e}^{4 x \ln \left(2\right)+x}-1\right)}$&$29$\\ risch&$\frac{20 \ln \left(2\right)}{\left(1+4 \ln \left(2\right)\right) \left(16^{x} {\mathrm e}^{x}-1\right)}+\frac{5}{\left(1+4 \ln \left(2\right)\right) \left(16^{x} {\mathrm e}^{x}-1\right)}$&$44$\\ \hline \end{longtable}"," ",0,"5/(exp(4*x*ln(2)+x)-1)","A"
6775,1,11,11,0.015000," ","int(1/8*(-1/x^2-8*exp(x)*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{1}{16 x^{2}}-{\mathrm e}^{x}$&$11$\\ risch&$\frac{1}{16 x^{2}}-{\mathrm e}^{x}$&$11$\\ norman&$\frac{\frac{1}{16}-{\mathrm e}^{x} x^{2}}{x^{2}}$&$14$\\ \hline \end{longtable}"," ",0,"1/16/x^2-exp(x)","A"
6776,1,5,8,0.012000," ","int(10/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$10 \ln \left(x \right)$&$5$\\ norman&$10 \ln \left(x \right)$&$5$\\ risch&$10 \ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"10*ln(x)","A"
6777,1,16,18,0.076000," ","int(1/9*(((-2*x^2-144)*exp(x)-4*x)*exp(exp(x))-8*x)/exp(1/9*(x^2+72)*exp(exp(x))+2/9*x^2+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{-\frac{\left(x^{2}+72\right) \left(2+{\mathrm e}^{{\mathrm e}^{x}}\right)}{9}}$&$16$\\ norman&$2 \,{\mathrm e}^{-\frac{\left(x^{2}+72\right) {\mathrm e}^{{\mathrm e}^{x}}}{9}-\frac{2 x^{2}}{9}-16}$&$23$\\ \hline \end{longtable}"," ",0,"2*exp(-1/9*(x^2+72)*(2+exp(exp(x))))","A"
6778,0,0,24,0.046000," ","int(((3*x*ln(2)+x^2)*ln(-36*x*ln(2)-12*x^2)*ln(x/ln(-36*x*ln(2)-12*x^2))^2+((3*(2*x+8)*ln(2)+2*x^2+8*x)*ln(-36*x*ln(2)-12*x^2)+3*(-2*x-8)*ln(2)-4*x^2-16*x)*ln(x/ln(-36*x*ln(2)-12*x^2))+(3*x*exp(5)*ln(2)+x^2*exp(5))*ln(-36*x*ln(2)-12*x^2))/(3*x*ln(2)+x^2)/ln(-36*x*ln(2)-12*x^2),x)","\[\int \frac{\left(3 x \ln \left(2\right)+x^{2}\right) \ln \left(-36 x \ln \left(2\right)-12 x^{2}\right) \ln \left(\frac{x}{\ln \left(-36 x \ln \left(2\right)-12 x^{2}\right)}\right)^{2}+\left(\left(3 \left(2 x +8\right) \ln \left(2\right)+2 x^{2}+8 x \right) \ln \left(-36 x \ln \left(2\right)-12 x^{2}\right)+3 \left(-2 x -8\right) \ln \left(2\right)-4 x^{2}-16 x \right) \ln \left(\frac{x}{\ln \left(-36 x \ln \left(2\right)-12 x^{2}\right)}\right)+\left(3 x \,{\mathrm e}^{5} \ln \left(2\right)+x^{2} {\mathrm e}^{5}\right) \ln \left(-36 x \ln \left(2\right)-12 x^{2}\right)}{\left(3 x \ln \left(2\right)+x^{2}\right) \ln \left(-36 x \ln \left(2\right)-12 x^{2}\right)}\, dx\]"," ",0,"int(((3*x*ln(2)+x^2)*ln(-36*x*ln(2)-12*x^2)*ln(x/ln(-36*x*ln(2)-12*x^2))^2+((3*(2*x+8)*ln(2)+2*x^2+8*x)*ln(-36*x*ln(2)-12*x^2)+3*(-2*x-8)*ln(2)-4*x^2-16*x)*ln(x/ln(-36*x*ln(2)-12*x^2))+(3*x*exp(5)*ln(2)+x^2*exp(5))*ln(-36*x*ln(2)-12*x^2))/(3*x*ln(2)+x^2)/ln(-36*x*ln(2)-12*x^2),x)","F"
6779,1,78,27,0.197000," ","int(((3*x^2+6*x-9)*ln(3+x)*ln(x*ln(3+x))*ln(ln(x*ln(3+x)))+(-2*x^3-6*x^2)*ln(3+x)*ln(x*ln(3+x))+(3*x^2+12*x+9)*ln(3+x)+3*x^2+3*x)/((12*x^3+48*x^2+36*x)*ln(3+x)*ln(x*ln(3+x))*ln(ln(x*ln(3+x)))+(-4*x^4-16*x^3-12*x^2)*ln(3+x)*ln(x*ln(3+x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right)}{4}+\frac{\ln \left(x +1\right)}{2}+\frac{\ln \left(-\frac{x}{3}+\ln \left(\ln \left(x \right)+\ln \left(\ln \left(3+x \right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \ln \left(3+x \right)\right) \left(-\mathrm{csgn}\left(i x \ln \left(3+x \right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \ln \left(3+x \right)\right)+\mathrm{csgn}\left(i \ln \left(3+x \right)\right)\right)}{2}\right)\right)}{4}$&$78$\\ \hline \end{longtable}"," ",0,"-1/4*ln(x)+1/2*ln(x+1)+1/4*ln(-1/3*x+ln(ln(x)+ln(ln(3+x))-1/2*I*Pi*csgn(I*x*ln(3+x))*(-csgn(I*x*ln(3+x))+csgn(I*x))*(-csgn(I*x*ln(3+x))+csgn(I*ln(3+x)))))","C"
6780,1,22,18,0.124000," ","int(((47*x+10)*ln(47/2*x+5)*ln(2/ln(47/2*x+5))+47)/((47*x+10)*ln(47/2*x+5)*ln(2/ln(47/2*x+5))*ln(ln(2/ln(47/2*x+5)))^2+(-94*x^2-20*x)*ln(47/2*x+5)*ln(2/ln(47/2*x+5))*ln(ln(2/ln(47/2*x+5)))+(47*x^3+10*x^2)*ln(47/2*x+5)*ln(2/ln(47/2*x+5))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{-\ln \left(\ln \left(2\right)-\ln \left(\ln \left(\frac{47 x}{2}+5\right)\right)\right)+x}$&$22$\\ \hline \end{longtable}"," ",0,"-1/(-ln(ln(2)-ln(ln(47/2*x+5)))+x)","A"
6781,0,0,22,0.012000," ","int(((-27*x-54)*ln(x^2+4*x+4)*ln(ln(x^2+4*x+4))^2-108*x*ln(ln(x^2+4*x+4))+(-1458*x^2-2916*x)*ln(x^2+4*x+4))/((x^3+2*x^2)*ln(x^2+4*x+4)*ln(ln(x^2+4*x+4))^4+(54*x^4+108*x^3)*ln(x^2+4*x+4)*ln(ln(x^2+4*x+4))^2+(729*x^5+1458*x^4)*ln(x^2+4*x+4)),x)","\[\int \frac{\left(-27 x -54\right) \ln \left(x^{2}+4 x +4\right) \ln \left(\ln \left(x^{2}+4 x +4\right)\right)^{2}-108 x \ln \left(\ln \left(x^{2}+4 x +4\right)\right)+\left(-1458 x^{2}-2916 x \right) \ln \left(x^{2}+4 x +4\right)}{\left(x^{3}+2 x^{2}\right) \ln \left(x^{2}+4 x +4\right) \ln \left(\ln \left(x^{2}+4 x +4\right)\right)^{4}+\left(54 x^{4}+108 x^{3}\right) \ln \left(x^{2}+4 x +4\right) \ln \left(\ln \left(x^{2}+4 x +4\right)\right)^{2}+\left(729 x^{5}+1458 x^{4}\right) \ln \left(x^{2}+4 x +4\right)}\, dx\]"," ",0,"int(((-27*x-54)*ln(x^2+4*x+4)*ln(ln(x^2+4*x+4))^2-108*x*ln(ln(x^2+4*x+4))+(-1458*x^2-2916*x)*ln(x^2+4*x+4))/((x^3+2*x^2)*ln(x^2+4*x+4)*ln(ln(x^2+4*x+4))^4+(54*x^4+108*x^3)*ln(x^2+4*x+4)*ln(ln(x^2+4*x+4))^2+(729*x^5+1458*x^4)*ln(x^2+4*x+4)),x)","F"
6782,1,35,31,0.070000," ","int(((-5*x^3-25*x^2-50*x-60)*exp(3)*ln(3)+(3*x^5+15*x^4+20*x^3+4*x^2-7*x-3)*exp(3)+x^2+2*x+1)/(x^3+5*x^2+7*x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{3} {\mathrm e}^{3}-5 x \,{\mathrm e}^{3} \ln \left(3\right)-x \,{\mathrm e}^{3}+\frac{15 \,{\mathrm e}^{3} \ln \left(3\right)}{x +1}+\ln \left(3+x \right)$&$35$\\ risch&$x^{3} {\mathrm e}^{3}-5 x \,{\mathrm e}^{3} \ln \left(3\right)-x \,{\mathrm e}^{3}+\frac{15 \,{\mathrm e}^{3} \ln \left(3\right)}{x +1}+\ln \left(3+x \right)$&$35$\\ norman&$\frac{x^{3} {\mathrm e}^{3}+x^{4} {\mathrm e}^{3}+\left(-5 \,{\mathrm e}^{3} \ln \left(3\right)-{\mathrm e}^{3}\right) x^{2}+20 \,{\mathrm e}^{3} \ln \left(3\right)+{\mathrm e}^{3}}{x +1}+\ln \left(3+x \right)$&$48$\\ \hline \end{longtable}"," ",0,"x^3*exp(3)-5*x*exp(3)*ln(3)-x*exp(3)+15*exp(3)*ln(3)/(x+1)+ln(3+x)","A"
6783,1,27,19,0.087000," ","int(((18*x^3-9)*exp((x^3+1)/x)+9*exp(x)*x^2-9*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-9 x +9 \,{\mathrm e}^{x}+9 \,{\mathrm e}^{\frac{\left(x +1\right) \left(x^{2}-x +1\right)}{x}}$&$27$\\ norman&$\frac{-9 x^{2}+9 \,{\mathrm e}^{x} x +9 \,{\mathrm e}^{\frac{x^{3}+1}{x}} x}{x}$&$29$\\ \hline \end{longtable}"," ",0,"-9*x+9*exp(x)+9*exp((x+1)*(x^2-x+1)/x)","A"
6784,1,41,23,0.050000," ","int(((-40*exp(x)^2+50*exp(x))*ln(x)^2+(180*exp(x)^2+(90*x+90)*exp(x))*ln(x)+(-72*x-180)*exp(x)^2-90*exp(x))/((16*x^2+80*x+100)*exp(x)^2+(40*x+100)*exp(x)+25)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10 \,{\mathrm e}^{x}}{4 \,{\mathrm e}^{x} x +10 \,{\mathrm e}^{x}+5}+\frac{18 x \,{\mathrm e}^{x}}{\left(4 \,{\mathrm e}^{x} x +10 \,{\mathrm e}^{x}+5\right) \ln \left(x \right)}$&$41$\\ \hline \end{longtable}"," ",0,"10*exp(x)/(4*exp(x)*x+10*exp(x)+5)+18*x*exp(x)/(4*exp(x)*x+10*exp(x)+5)/ln(x)","A"
6785,1,12,17,0.016000," ","int(exp(2+x)*exp(-exp(2+x)+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-{\mathrm e}^{-{\mathrm e}^{2+x}+5}$&$12$\\ default&$-{\mathrm e}^{-{\mathrm e}^{2+x}+5}$&$12$\\ norman&$-{\mathrm e}^{-{\mathrm e}^{2+x}+5}$&$12$\\ risch&$-{\mathrm e}^{-{\mathrm e}^{2+x}+5}$&$12$\\ \hline \end{longtable}"," ",0,"-exp(-exp(2+x)+5)","A"
6786,1,23,24,0.230000," ","int(((-10*ln(2)*ln(x)*exp(ln(x^2)-5)+5*ln(2)*ln(x)-5*ln(2))*exp(exp(ln(x^2)-5))+15*ln(2)*ln(x)-15*ln(2))*exp(5*x*ln(2)/(2*ln(x)*exp(exp(ln(x^2)-5))+6*ln(x)))^2/(ln(x)^2*exp(exp(ln(x^2)-5))^2+6*ln(x)^2*exp(exp(ln(x^2)-5))+9*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2^{\frac{5 x}{\ln \left(x \right) \left({\mathrm e}^{x^{2} {\mathrm e}^{-5}}+3\right)}}$&$23$\\ \hline \end{longtable}"," ",0,"(2^(5/2*x/ln(x)/(exp(x^2*exp(-5))+3)))^2","A"
6787,1,29,22,0.095000," ","int(((-12*ln(5)*ln(x^2)-60*ln(5)-x)*exp(-3*ln(5)*ln(x^2)^2-30*ln(5)*ln(x^2)-75*ln(5)+3-x)-x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{\left(\frac{1}{125}\right)^{\ln \left(x^{2}\right)^{2}} \left(x^{2}\right)^{-30 \ln \left(5\right)} {\mathrm e}^{3-x}}{26469779601696885595885078146238811314105987548828125}$&$29$\\ default&$-x +{\mathrm e}^{-3 \ln \left(5\right) \ln \left(x^{2}\right)^{2}-30 \ln \left(5\right) \ln \left(x^{2}\right)-75 \ln \left(5\right)+3-x}$&$33$\\ norman&$-x +{\mathrm e}^{-3 \ln \left(5\right) \ln \left(x^{2}\right)^{2}-30 \ln \left(5\right) \ln \left(x^{2}\right)-75 \ln \left(5\right)+3-x}$&$33$\\ \hline \end{longtable}"," ",0,"-x+1/26469779601696885595885078146238811314105987548828125*(1/125)^(ln(x^2)^2)*(x^2)^(-30*ln(5))*exp(3-x)","A"
6788,1,7,14,0.070000," ","int((2*x+4)/(x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\left(4+x \right) x \right)$&$7$\\ norman&$\ln \left(x \right)+\ln \left(4+x \right)$&$8$\\ derivativedivides&$\ln \left(x^{2}+4 x \right)$&$9$\\ risch&$\ln \left(x^{2}+4 x \right)$&$9$\\ meijerg&$\ln \left(x \right)-2 \ln \left(2\right)+\ln \left(1+\frac{x}{4}\right)$&$14$\\ \hline \end{longtable}"," ",0,"ln((4+x)*x)","A"
6789,1,18,21,0.066000," ","int(((20*x^5+80*x^4-20*x^3-80*x^2)*ln(4+x)+10*x^5+20*x^3+120*x^2-10*x-40)*exp(x^2*ln(4+x))*exp((10*x^3-10*x)*exp(x^2*ln(4+x)))/(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{10 \left(x -1\right) \left(x +1\right) x \left(4+x \right)^{x^{2}}}$&$18$\\ \hline \end{longtable}"," ",0,"exp(10*(x-1)*(x+1)*x*(4+x)^(x^2))","A"
6790,1,18,17,0.207000," ","int((exp(3)-4*x+8)/((x-5)*exp(3)-2*x^2+8*x+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\left(x -5\right) {\mathrm e}^{3}-2 x^{2}+8 x +12\right)$&$18$\\ default&$\ln \left(x \,{\mathrm e}^{3}-2 x^{2}-5 \,{\mathrm e}^{3}+8 x +12\right)$&$20$\\ norman&$\ln \left(x \,{\mathrm e}^{3}-2 x^{2}-5 \,{\mathrm e}^{3}+8 x +12\right)$&$20$\\ risch&$\ln \left(2 x^{2}+x \left(-8-{\mathrm e}^{3}\right)+5 \,{\mathrm e}^{3}-12\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln((x-5)*exp(3)-2*x^2+8*x+12)","A"
6791,1,14,16,0.024000," ","int(((1-2*x)*ln(2*x)-1)/x/ln(2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-2 x -\ln \left(\ln \left(2 x \right)\right)$&$14$\\ derivativedivides&$-2 x +\ln \left(2 x \right)-\ln \left(\ln \left(2 x \right)\right)$&$16$\\ default&$-2 x +\ln \left(2 x \right)-\ln \left(\ln \left(2 x \right)\right)$&$16$\\ norman&$-2 x +\ln \left(2 x \right)-\ln \left(\ln \left(2 x \right)\right)$&$16$\\ \hline \end{longtable}"," ",0,"ln(x)-2*x-ln(ln(2*x))","A"
6792,1,28,23,0.111000," ","int((((-240*x-120)*exp(x)-240*x-240)*exp(x^2+2*x)-40*exp(x)^2-80*exp(x)-40)/(9*exp(x^2+2*x)^2+((6*x-18)*exp(x)+6*x-18)*exp(x^2+2*x)+(x^2-6*x+9)*exp(x)^2+(2*x^2-12*x+18)*exp(x)+x^2-6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{40 \,{\mathrm e}^{x}+40}{{\mathrm e}^{x} x -3 \,{\mathrm e}^{x}+3 \,{\mathrm e}^{x \left(2+x \right)}+x -3}$&$28$\\ norman&$\frac{40 \,{\mathrm e}^{x}+40}{{\mathrm e}^{x} x -3 \,{\mathrm e}^{x}+3 \,{\mathrm e}^{x^{2}+2 x}+x -3}$&$31$\\ \hline \end{longtable}"," ",0,"40*(exp(x)+1)/(exp(x)*x-3*exp(x)+3*exp(x*(2+x))+x-3)","A"
6793,1,36,27,0.277000," ","int((((ln(3)*exp(-exp(x)+3)^2-40*ln(3)*exp(-exp(x)+3)+400*ln(3))*exp((4*exp(-exp(x)+3)-x-80)/(exp(-exp(x)+3)-20))-x*ln(3)*exp(-exp(x)+3)^2+40*x*ln(3)*exp(-exp(x)+3)-400*x*ln(3))*ln(exp((4*exp(-exp(x)+3)-x-80)/(exp(-exp(x)+3)-20))-x)+((-x^2*ln(3)*exp(x)-x*ln(3))*exp(-exp(x)+3)+20*x*ln(3))*exp((4*exp(-exp(x)+3)-x-80)/(exp(-exp(x)+3)-20))-x*ln(3)*exp(-exp(x)+3)^2+40*x*ln(3)*exp(-exp(x)+3)-400*x*ln(3))/((exp(-exp(x)+3)^2-40*exp(-exp(x)+3)+400)*exp((4*exp(-exp(x)+3)-x-80)/(exp(-exp(x)+3)-20))-x*exp(-exp(x)+3)^2+40*x*exp(-exp(x)+3)-400*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(3\right) \ln \left({\mathrm e}^{-\frac{-4 \,{\mathrm e}^{-{\mathrm e}^{x}+3}+x +80}{{\mathrm e}^{-{\mathrm e}^{x}+3}-20}}-x \right)$&$36$\\ \hline \end{longtable}"," ",0,"x*ln(3)*ln(exp(-(-4*exp(-exp(x)+3)+x+80)/(exp(-exp(x)+3)-20))-x)","A"
6794,1,28,22,0.043000," ","int((-4*x^2-6*x-1)*exp(2*x^2+6*x)+(4*x^2+1)*exp(2*x^2)-6*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{2 x^{2}}-x -3 x^{2}-{\mathrm e}^{2 \left(3+x \right) x} x$&$28$\\ default&$x \,{\mathrm e}^{2 x^{2}}-x -3 x^{2}-{\mathrm e}^{2 x^{2}+6 x} x$&$31$\\ norman&$x \,{\mathrm e}^{2 x^{2}}-x -3 x^{2}-{\mathrm e}^{2 x^{2}+6 x} x$&$31$\\ \hline \end{longtable}"," ",0,"x*exp(2*x^2)-x-3*x^2-exp(2*(3+x)*x)*x","A"
6795,1,19,31,0.034000," ","int(1/9*(-4*x^3+49*x-90)/x^3/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \,{\mathrm e}^{-1} x}{9}+\frac{{\mathrm e}^{-1} \left(-49 x +45\right)}{9 x^{2}}$&$19$\\ gosper&$-\frac{\left(4 x^{3}+49 x -45\right) {\mathrm e}^{-1}}{9 x^{2}}$&$20$\\ default&$\frac{{\mathrm e}^{-1} \left(-4 x +\frac{45}{x^{2}}-\frac{49}{x}\right)}{9}$&$21$\\ norman&$\frac{5 \,{\mathrm e}^{-1}-\frac{49 \,{\mathrm e}^{-1} x}{9}-\frac{4 \,{\mathrm e}^{-1} x^{3}}{9}}{x^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"-4/9*exp(-1)*x+1/9*exp(-1)*(-49*x+45)/x^2","A"
6796,1,26,22,0.038000," ","int((-x^2*ln(5/3+1/3*x)+(x^2+5*x-5)*exp(x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5 \,{\mathrm e}^{x}}{x}+{\mathrm e}^{x}-3 \ln \left(\frac{5}{3}+\frac{x}{3}\right) \left(\frac{5}{3}+\frac{x}{3}\right)+5+x$&$26$\\ norman&$\frac{x^{2}+{\mathrm e}^{x} x -5 x \ln \left(\frac{5}{3}+\frac{x}{3}\right)-x^{2} \ln \left(\frac{5}{3}+\frac{x}{3}\right)+5 \,{\mathrm e}^{x}}{x}$&$37$\\ risch&$-x \ln \left(\frac{5}{3}+\frac{x}{3}\right)-\frac{5 x \ln \left(5+x \right)-x^{2}-{\mathrm e}^{x} x -5 \,{\mathrm e}^{x}}{x}$&$38$\\ \hline \end{longtable}"," ",0,"5*exp(x)/x+exp(x)-3*ln(5/3+1/3*x)*(5/3+1/3*x)+5+x","A"
6797,1,114,19,0.245000," ","int((((exp(5)+2*x+4)*ln(3)+exp(5)+2*x+14)*exp(x*ln(3)+x)*(1/2*exp(5)+x+2)^5+exp(5)+2*x+4)/(exp(5)+2*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\left(32+80 x +40 \,{\mathrm e}^{5}+x^{5}+10 x^{4}+40 x^{3}+80 x^{2}+\frac{5 x^{4} {\mathrm e}^{5}}{2}+\frac{5 x \,{\mathrm e}^{20}}{16}+\frac{5 x^{2} {\mathrm e}^{15}}{4}+\frac{5 x^{3} {\mathrm e}^{10}}{2}+20 \,{\mathrm e}^{10}+30 x \,{\mathrm e}^{10}+5 x \,{\mathrm e}^{15}+15 x^{2} {\mathrm e}^{10}+20 x^{3} {\mathrm e}^{5}+60 x^{2} {\mathrm e}^{5}+80 x \,{\mathrm e}^{5}+5 \,{\mathrm e}^{15}+\frac{5 \,{\mathrm e}^{20}}{8}+\frac{{\mathrm e}^{25}}{32}\right) 3^{x} {\mathrm e}^{x}$&$114$\\ norman&$x +\left(\frac{{\mathrm e}^{25}}{32}+\frac{5 \,{\mathrm e}^{20}}{8}+5 \,{\mathrm e}^{15}+20 \,{\mathrm e}^{10}+40 \,{\mathrm e}^{5}+32\right) {\mathrm e}^{x \ln \left(3\right)+x}+{\mathrm e}^{x \ln \left(3\right)+x} x^{5}+\left(\frac{5 \,{\mathrm e}^{5}}{2}+10\right) x^{4} {\mathrm e}^{x \ln \left(3\right)+x}+\left(\frac{5 \,{\mathrm e}^{10}}{2}+20 \,{\mathrm e}^{5}+40\right) x^{3} {\mathrm e}^{x \ln \left(3\right)+x}+\left(\frac{5 \,{\mathrm e}^{15}}{4}+15 \,{\mathrm e}^{10}+60 \,{\mathrm e}^{5}+80\right) x^{2} {\mathrm e}^{x \ln \left(3\right)+x}+\left(\frac{5 \,{\mathrm e}^{20}}{16}+5 \,{\mathrm e}^{15}+30 \,{\mathrm e}^{10}+80 \,{\mathrm e}^{5}+80\right) x \,{\mathrm e}^{x \ln \left(3\right)+x}$&$154$\\ derivativedivides&$\text{Expression too large to display}$&$26214$\\ default&$\text{Expression too large to display}$&$26214$\\ \hline \end{longtable}"," ",0,"x+(32+80*x+40*exp(5)+x^5+10*x^4+40*x^3+80*x^2+5/2*x^4*exp(5)+5/16*x*exp(20)+5/4*x^2*exp(15)+5/2*x^3*exp(10)+20*exp(10)+30*x*exp(10)+5*x*exp(15)+15*x^2*exp(10)+20*x^3*exp(5)+60*x^2*exp(5)+80*x*exp(5)+5*exp(15)+5/8*exp(20)+1/32*exp(25))*3^x*exp(x)","B"
6798,1,22,18,0.065000," ","int(1/2*((-4*x+2)*exp(x)^2-2*x^2+3*x)/exp(x)^2/exp(1/4*(4*x*exp(x)^2-x+1)/exp(x)^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-\frac{\left(4 x \,{\mathrm e}^{2 x}-x +1\right) {\mathrm e}^{-2 x}}{2}}$&$22$\\ norman&$x \,{\mathrm e}^{-\frac{\left(4 x \,{\mathrm e}^{2 x}-x +1\right) {\mathrm e}^{-2 x}}{2}}$&$24$\\ \hline \end{longtable}"," ",0,"x*exp(-1/2*(4*x*exp(2*x)-x+1)*exp(-2*x))","A"
6799,1,29,21,0.037000," ","int(((8*x^5+8*x^3)*exp(x^2)+4*x^3+x^2-9)/(4*x^4*exp(x^2)+2*x^4+x^3+9*x^2+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)+\ln \left(4 x^{3} {\mathrm e}^{x^{2}}+2 x^{3}+x^{2}+9 x +9\right)$&$29$\\ risch&$2 \ln \left(x \right)+\ln \left({\mathrm e}^{x^{2}}+\frac{2 x^{3}+x^{2}+9 x +9}{4 x^{3}}\right)$&$30$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(4*x^3*exp(x^2)+2*x^3+x^2+9*x+9)","A"
6800,1,20,29,0.040000," ","int(1/5*((2*x^2+2*x+1)*exp(2*x^2+2*x)+10*exp(x^2)-10*x)/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +{\mathrm e}^{-x^{2}}+\frac{x \,{\mathrm e}^{x \left(2+x \right)}}{5}$&$20$\\ default&$2 x +{\mathrm e}^{-x^{2}}+\frac{x \,{\mathrm e}^{x^{2}+2 x}}{5}$&$22$\\ norman&$\left(1+2 \,{\mathrm e}^{x^{2}} x +\frac{{\mathrm e}^{2 x^{2}+2 x} x}{5}\right) {\mathrm e}^{-x^{2}}$&$30$\\ \hline \end{longtable}"," ",0,"2*x+exp(-x^2)+1/5*x*exp(x*(2+x))","A"
6801,1,44,29,0.050000," ","int(((8*x*ln(2)-exp(5)+4*x^2)*exp((exp(exp(1))-2*x^2)/exp(5))-2*exp(5)*ln(2)+(-2*x+5)*exp(5))/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x \ln \left(2\right)-x^{2}+5 x +\left(-2 \,{\mathrm e}^{5} \ln \left(2\right)-x \,{\mathrm e}^{5}\right) {\mathrm e}^{-2 x^{2} {\mathrm e}^{-5}+{\mathrm e}^{{\mathrm e}} {\mathrm e}^{-5}-5}$&$44$\\ norman&$\left(-2 \ln \left(2\right)+5\right) x -x^{2}-x \,{\mathrm e}^{\left({\mathrm e}^{{\mathrm e}}-2 x^{2}\right) {\mathrm e}^{-5}}-2 \ln \left(2\right) {\mathrm e}^{\left({\mathrm e}^{{\mathrm e}}-2 x^{2}\right) {\mathrm e}^{-5}}$&$52$\\ default&${\mathrm e}^{-5} \left({\mathrm e}^{5} \left(-x^{2}+5 x \right)-{\mathrm e}^{{\mathrm e}^{{\mathrm e}} {\mathrm e}^{-5}} {\mathrm e}^{5} x \,{\mathrm e}^{-2 x^{2} {\mathrm e}^{-5}}-2 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}} {\mathrm e}^{-5}} \ln \left(2\right) {\mathrm e}^{-2 x^{2} {\mathrm e}^{-5}} {\mathrm e}^{5}-2 x \,{\mathrm e}^{5} \ln \left(2\right)\right)$&$76$\\ \hline \end{longtable}"," ",0,"-2*x*ln(2)-x^2+5*x+(-2*exp(5)*ln(2)-x*exp(5))*exp(-2*x^2*exp(-5)+exp(exp(1))*exp(-5)-5)","A"
6802,1,216,24,0.333000," ","int(((((2*x+2)*ln(3)^2+(4*x^2+8*x+4)*ln(3)+2*x^3+5*x^2+5*x+2)*exp(x)*ln(-2*ln(3)^2+(-4*x-4)*ln(3)-2*x^2-3*x-2)+((2*x^2+2*x)*ln(3)^2+(4*x^3+8*x^2+4*x)*ln(3)+2*x^4+5*x^3+5*x^2+2*x)*exp(x))*ln(ln(-2*ln(3)^2+(-4*x-4)*ln(3)-2*x^2-3*x-2)+x)*ln(ln(ln(-2*ln(3)^2+(-4*x-4)*ln(3)-2*x^2-3*x-2)+x)^2)+(4*x*ln(3)^2+(8*x^2+16*x)*ln(3)+4*x^3+14*x^2+10*x)*exp(x))/((2*ln(3)^2+(4*x+4)*ln(3)+2*x^2+3*x+2)*ln(-2*ln(3)^2+(-4*x-4)*ln(3)-2*x^2-3*x-2)+2*x*ln(3)^2+(4*x^2+4*x)*ln(3)+2*x^3+3*x^2+2*x)/ln(ln(-2*ln(3)^2+(-4*x-4)*ln(3)-2*x^2-3*x-2)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \,{\mathrm e}^{x} \ln \left(\ln \left(\ln \left(-2 \ln \left(3\right)^{2}+\left(-4 x -4\right) \ln \left(3\right)-2 x^{2}-3 x -2\right)+x \right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(\ln \left(-2 \ln \left(3\right)^{2}+\left(-4 x -4\right) \ln \left(3\right)-2 x^{2}-3 x -2\right)+x \right)^{2}\right) \left(\mathrm{csgn}\left(i \ln \left(\ln \left(-2 \ln \left(3\right)^{2}+\left(-4 x -4\right) \ln \left(3\right)-2 x^{2}-3 x -2\right)+x \right)\right)^{2}-2 \,\mathrm{csgn}\left(i \ln \left(\ln \left(-2 \ln \left(3\right)^{2}+\left(-4 x -4\right) \ln \left(3\right)-2 x^{2}-3 x -2\right)+x \right)^{2}\right) \mathrm{csgn}\left(i \ln \left(\ln \left(-2 \ln \left(3\right)^{2}+\left(-4 x -4\right) \ln \left(3\right)-2 x^{2}-3 x -2\right)+x \right)\right)+\mathrm{csgn}\left(i \ln \left(\ln \left(-2 \ln \left(3\right)^{2}+\left(-4 x -4\right) \ln \left(3\right)-2 x^{2}-3 x -2\right)+x \right)^{2}\right)^{2}\right) x \,{\mathrm e}^{x}}{2}$&$216$\\ \hline \end{longtable}"," ",0,"2*x*exp(x)*ln(ln(ln(-2*ln(3)^2+(-4*x-4)*ln(3)-2*x^2-3*x-2)+x))-1/2*I*Pi*csgn(I*ln(ln(-2*ln(3)^2+(-4*x-4)*ln(3)-2*x^2-3*x-2)+x)^2)*(csgn(I*ln(ln(-2*ln(3)^2+(-4*x-4)*ln(3)-2*x^2-3*x-2)+x))^2-2*csgn(I*ln(ln(-2*ln(3)^2+(-4*x-4)*ln(3)-2*x^2-3*x-2)+x)^2)*csgn(I*ln(ln(-2*ln(3)^2+(-4*x-4)*ln(3)-2*x^2-3*x-2)+x))+csgn(I*ln(ln(-2*ln(3)^2+(-4*x-4)*ln(3)-2*x^2-3*x-2)+x)^2)^2)*x*exp(x)","C"
6803,1,13,19,0.031000," ","int(((2*x^2-2*x)*exp(x^2-2*x+1)+2*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\ln \left(x \right)+{\mathrm e}^{\left(x -1\right)^{2}}$&$13$\\ default&$2 x +\ln \left(x \right)+{\mathrm e}^{x^{2}-2 x +1}$&$16$\\ norman&$2 x +\ln \left(x \right)+{\mathrm e}^{x^{2}-2 x +1}$&$16$\\ \hline \end{longtable}"," ",0,"2*x+ln(x)+exp((x-1)^2)","A"
6804,1,31,29,0.040000," ","int((-20*ln(x)+(-x^4-x^3)*exp(x)+5*x^3+5*x^2-25*x-10)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{x} x +5 x +5 \ln \left(x \right)+\frac{25}{x}+\frac{10}{x^{2}}+\frac{10 \ln \left(x \right)}{x^{2}}$&$31$\\ norman&$\frac{10+25 x +5 x^{3}-{\mathrm e}^{x} x^{3}+10 \ln \left(x \right)}{x^{2}}+5 \ln \left(x \right)$&$31$\\ risch&$\frac{10 \ln \left(x \right)}{x^{2}}+\frac{-{\mathrm e}^{x} x^{3}+5 x^{2} \ln \left(x \right)+5 x^{3}+25 x +10}{x^{2}}$&$37$\\ \hline \end{longtable}"," ",0,"-exp(x)*x+5*x+5*ln(x)+25/x+10/x^2+10*ln(x)/x^2","A"
6805,1,38,22,0.037000," ","int((-8*x*ln(2)^2+2*(6*x^2*exp(3)-24*x)*ln(2)-4*x^3*exp(3)^2+36*x^2*exp(3)-72*x)*ln(x)-4*x*ln(2)^2+2*(2*x^2*exp(3)-12*x)*ln(2)-x^3*exp(3)^2+12*x^2*exp(3)-36*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} \left(x^{2} {\mathrm e}^{6}-4 \,{\mathrm e}^{3} \ln \left(2\right) x -12 x \,{\mathrm e}^{3}+4 \ln \left(2\right)^{2}+24 \ln \left(2\right)+36\right) \ln \left(x \right)$&$38$\\ norman&$\left(4 \,{\mathrm e}^{3} \ln \left(2\right)+12 \,{\mathrm e}^{3}\right) x^{3} \ln \left(x \right)+\left(-4 \ln \left(2\right)^{2}-24 \ln \left(2\right)-36\right) x^{2} \ln \left(x \right)-{\mathrm e}^{6} x^{4} \ln \left(x \right)$&$48$\\ default&$-{\mathrm e}^{6} x^{4} \ln \left(x \right)+4 \,{\mathrm e}^{3} \ln \left(2\right) x^{3} \ln \left(x \right)+12 \,{\mathrm e}^{3} x^{3} \ln \left(x \right)-4 \ln \left(2\right)^{2} \ln \left(x \right) x^{2}-24 x^{2} \ln \left(2\right) \ln \left(x \right)-36 x^{2} \ln \left(x \right)$&$60$\\ \hline \end{longtable}"," ",0,"-x^2*(x^2*exp(6)-4*exp(3)*ln(2)*x-12*x*exp(3)+4*ln(2)^2+24*ln(2)+36)*ln(x)","A"
6806,1,19,20,0.036000," ","int((x^3+x^2+2*x+1)*exp(x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left(x^{3}-2 x^{2}+6 x -5\right) {\mathrm e}^{x +1}$&$19$\\ risch&$\left(x^{3}-2 x^{2}+6 x -5\right) {\mathrm e}^{x +1}$&$19$\\ norman&$x^{3} {\mathrm e}^{x +1}+6 x \,{\mathrm e}^{x +1}-2 x^{2} {\mathrm e}^{x +1}-5 \,{\mathrm e}^{x +1}$&$32$\\ derivativedivides&${\mathrm e}^{x +1} \left(x +1\right)^{3}-5 \,{\mathrm e}^{x +1} \left(x +1\right)^{2}+13 \,{\mathrm e}^{x +1} \left(x +1\right)-14 \,{\mathrm e}^{x +1}$&$38$\\ default&${\mathrm e}^{x +1} \left(x +1\right)^{3}-5 \,{\mathrm e}^{x +1} \left(x +1\right)^{2}+13 \,{\mathrm e}^{x +1} \left(x +1\right)-14 \,{\mathrm e}^{x +1}$&$38$\\ meijerg&${\mathrm e} \left(6-\frac{\left(-4 x^{3}+12 x^{2}-24 x +24\right) {\mathrm e}^{x}}{4}\right)-{\mathrm e} \left(2-\frac{\left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}}{3}\right)+2 \,{\mathrm e} \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)-\left(1-{\mathrm e}^{x}\right) {\mathrm e}$&$71$\\ \hline \end{longtable}"," ",0,"(x^3-2*x^2+6*x-5)*exp(x+1)","A"
6807,1,23,22,0.043000," ","int((((-81000*x^2+20250*x)*exp(x+1)^2+48600*x)*ln(x)*ln(ln(x))^2+(20250*x*exp(x+1)^2+48600*x)*ln(ln(x)))/(3125*exp(x+1)^10+37500*exp(x+1)^8+180000*exp(x+1)^6+432000*exp(x+1)^4+518400*exp(x+1)^2+248832)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2025 x^{2} \ln \left(\ln \left(x \right)\right)^{2}}{\left(5 \,{\mathrm e}^{2 x +2}+12\right)^{4}}$&$23$\\ \hline \end{longtable}"," ",0,"2025*x^2/(5*exp(2*x+2)+12)^4*ln(ln(x))^2","A"
6808,1,21,22,0.041000," ","int(((-x^4-10*x^3+23*x^2+30*x-60)*ln(1/10*x^2+x-2)-2*x^4-10*x^3+2*x^2+10*x)/(x^6+10*x^5-20*x^4)/ln(1/10*x^2+x-2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}-1}{\ln \left(\frac{1}{10} x^{2}+x -2\right) x^{3}}$&$21$\\ risch&$\frac{x^{2}-1}{\ln \left(\frac{1}{10} x^{2}+x -2\right) x^{3}}$&$21$\\ \hline \end{longtable}"," ",0,"(x^2-1)/ln(1/10*x^2+x-2)/x^3","A"
6809,1,18,19,0.043000," ","int(((((4*x-20)*exp(x)^2+(12*x-60)*exp(x))*ln(1/3*x-5/3)-4*exp(x)^2-12*exp(x))*ln(3+exp(x))+(4*x-20)*exp(x)^2*ln(1/3*x-5/3))/((x-5)*exp(x)+3*x-15)/ln(1/3*x-5/3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \ln \left(3+{\mathrm e}^{x}\right) {\mathrm e}^{x}}{\ln \left(\frac{x}{3}-\frac{5}{3}\right)}$&$18$\\ \hline \end{longtable}"," ",0,"4*ln(3+exp(x))/ln(1/3*x-5/3)*exp(x)","A"
6810,1,33,22,0.177000," ","int((((25*x^2+40*x+16)*exp(4)-25*x^3-45*x^2-20*x)*ln(((-5*x-4)*exp(4)+5*x^2+5*x)/(4+5*x))+(25*x^3+190*x^2+256*x+96)*exp(4)-25*x^4-195*x^3-315*x^2-160*x-20)/(((25*x^2+40*x+16)*exp(4)-25*x^3-45*x^2-20*x)*ln(((-5*x-4)*exp(4)+5*x^2+5*x)/(4+5*x))+(25*x^3+165*x^2+216*x+80)*exp(4)-25*x^4-170*x^3-245*x^2-100*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\ln \left(x +\ln \left(\frac{\left(-5 x -4\right) {\mathrm e}^{4}+5 x^{2}+5 x}{4+5 x}\right)+5\right)$&$33$\\ risch&$x +\ln \left(x +\ln \left(\frac{\left(-5 x -4\right) {\mathrm e}^{4}+5 x^{2}+5 x}{4+5 x}\right)+5\right)$&$33$\\ \hline \end{longtable}"," ",0,"x+ln(x+ln(((-5*x-4)*exp(4)+5*x^2+5*x)/(4+5*x))+5)","A"
6811,1,55,27,0.142000," ","int(((18*x^2-81*x+72)*ln(3)^2*exp(x)^2+((9*x^2-45*x+72)*ln(3)^2+(42*x^2-210*x+336)*ln(3))*exp(x)+9*x^3*ln(3)^2-49*x+392)/((9*x^2-36*x)*ln(3)^2*exp(x)^2+((9*x^2-36*x)*ln(3)^2+(42*x^2-168*x)*ln(3))*exp(x)+9*x^4*ln(3)^2+49*x^2-196*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(x \right)+\ln \left(x -4\right)+\ln \left({\mathrm e}^{2 x}+\frac{\left(3 \ln \left(3\right)+14\right) {\mathrm e}^{x}}{3 \ln \left(3\right)}+\frac{9 x^{3} \ln \left(3\right)^{2}+49 x -196}{9 \ln \left(3\right)^{2} \left(x -4\right)}\right)$&$55$\\ norman&$-2 \ln \left(x \right)+\ln \left(9 x \ln \left(3\right)^{2} {\mathrm e}^{2 x}+9 x^{3} \ln \left(3\right)^{2}-36 \ln \left(3\right)^{2} {\mathrm e}^{2 x}+9 x \ln \left(3\right)^{2} {\mathrm e}^{x}-36 \ln \left(3\right)^{2} {\mathrm e}^{x}+42 x \ln \left(3\right) {\mathrm e}^{x}-168 \ln \left(3\right) {\mathrm e}^{x}+49 x -196\right)$&$72$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+ln(x-4)+ln(exp(2*x)+1/3/ln(3)*(3*ln(3)+14)*exp(x)+1/9*(9*x^3*ln(3)^2+49*x-196)/ln(3)^2/(x-4))","A"
6812,1,23,20,0.042000," ","int(1/8*(ln(x)+(2*x^2-1)*exp(x^2)-1)*exp(1/6*(-3*ln(x)+3*exp(x^2)+2*x)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{3 \ln \left(x \right)-3 \,{\mathrm e}^{x^{2}}-2 x}{6 x}}}{4}$&$23$\\ \hline \end{longtable}"," ",0,"1/4*exp(-1/6*(3*ln(x)-3*exp(x^2)-2*x)/x)","A"
6813,1,33,26,0.147000," ","int((-ln(x)^2*ln(3*exp((4*x^2*ln(x)^2+(8*x^3-40*x^2)*ln(x)+4*x^4-40*x^3+100*x^2)/ln(x)))+8*x^2*ln(x)^3+(24*x^3-76*x^2-1)*ln(x)^2+(16*x^4-120*x^3+200*x^2)*ln(x)-4*x^4+40*x^3-100*x^2)/x^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}^{\frac{4 \left(\ln \left(x \right)+x -5\right)^{2} x^{2}}{\ln \left(x \right)}}\right)}{x}+\frac{\ln \left(3\right)}{x}+\frac{1}{x}$&$33$\\ default&$\frac{4 x^{3}}{\ln \left(x \right)}-\frac{40 x^{2}}{\ln \left(x \right)}+\frac{100 x}{\ln \left(x \right)}+8 x^{2}-40 x +\frac{1}{x}+4 x \ln \left(x \right)+\frac{\ln \left(3 \,{\mathrm e}^{\frac{4 x^{2} \ln \left(x \right)^{2}+\left(8 x^{3}-40 x^{2}\right) \ln \left(x \right)+4 x^{4}-40 x^{3}+100 x^{2}}{\ln \left(x \right)}}\right)-\frac{4 x^{2} \ln \left(x \right)^{2}+\left(8 x^{3}-40 x^{2}\right) \ln \left(x \right)+4 x^{4}-40 x^{3}+100 x^{2}}{\ln \left(x \right)}}{x}$&$141$\\ \hline \end{longtable}"," ",0,"1/x*ln(exp(4/ln(x)*(ln(x)+x-5)^2*x^2))+ln(3)/x+1/x","A"
6814,1,12,15,0.036000," ","int((8*exp(8*x)-exp(-x))/(exp(8*x)+exp(-x)-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left({\mathrm e}^{8 x}+{\mathrm e}^{-x}-5\right)$&$12$\\ default&$\ln \left({\mathrm e}^{8 x}+{\mathrm e}^{-x}-5\right)$&$12$\\ risch&$8 x +\ln \left({\mathrm e}^{-9 x}-5 \,{\mathrm e}^{-8 x}+1\right)$&$18$\\ norman&$8 x +\ln \left({\mathrm e}^{-9 x}-5 \,{\mathrm e}^{-8 x}+1\right)$&$22$\\ \hline \end{longtable}"," ",0,"ln(exp(8*x)+exp(-x)-5)","A"
6815,1,26,25,0.122000," ","int(((((-50*x^2-75*x)*ln((2*x+3)/x)+75*x)*exp(5*x*ln((2*x+3)/x))+10*x+15)*exp(exp(5*x*ln((2*x+3)/x)))+20*x+30)/(4*x^3+6*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5}{x}-\frac{5 \,{\mathrm e}^{\left(\frac{2 x +3}{x}\right)^{5 x}}}{2 x}$&$26$\\ \hline \end{longtable}"," ",0,"-5/x-5/2/x*exp(((2*x+3)/x)^(5*x))","A"
6816,1,26,52,0.024000," ","int((-162*ln(25/4*x/exp(2)^2)^2+(54*x+162)*ln(25/4*x/exp(2)^2)-54*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{81 \ln \left(\frac{25 x \,{\mathrm e}^{-4}}{4}\right)^{2}}{x^{2}}-\frac{54 \ln \left(\frac{25 x \,{\mathrm e}^{-4}}{4}\right)}{x}$&$26$\\ norman&$\frac{81 \ln \left(\frac{25 x \,{\mathrm e}^{-4}}{4}\right)^{2}-54 \ln \left(\frac{25 x \,{\mathrm e}^{-4}}{4}\right) x}{x^{2}}$&$29$\\ derivativedivides&$\frac{25 \,{\mathrm e}^{-8} \left(216 \,{\mathrm e}^{4} \left(-\frac{4 \,{\mathrm e}^{4} \ln \left(\frac{25 x \,{\mathrm e}^{-4}}{4}\right)}{25 x}-\frac{4 \,{\mathrm e}^{4}}{25 x}\right)+\frac{864 \,{\mathrm e}^{8}}{25 x}+\frac{1296 \,{\mathrm e}^{8} \ln \left(\frac{25 x \,{\mathrm e}^{-4}}{4}\right)^{2}}{25 x^{2}}\right)}{16}$&$69$\\ default&$\frac{25 \,{\mathrm e}^{-8} \left(216 \,{\mathrm e}^{4} \left(-\frac{4 \,{\mathrm e}^{4} \ln \left(\frac{25 x \,{\mathrm e}^{-4}}{4}\right)}{25 x}-\frac{4 \,{\mathrm e}^{4}}{25 x}\right)+\frac{864 \,{\mathrm e}^{8}}{25 x}+\frac{1296 \,{\mathrm e}^{8} \ln \left(\frac{25 x \,{\mathrm e}^{-4}}{4}\right)^{2}}{25 x^{2}}\right)}{16}$&$69$\\ \hline \end{longtable}"," ",0,"81/x^2*ln(25/4*x*exp(-4))^2-54*ln(25/4*x*exp(-4))/x","A"
6817,1,59,27,0.118000," ","int(((50*x*exp(x-3)-50*x^2)*ln(exp(x-3)-x)*ln(ln(exp(x-3)-x))*ln(ln(ln(exp(x-3)-x)))^2+(((250*x^2*exp(x-3)-250*x^3)*exp(x)*exp(5*exp(x))+100*x*exp(x-3)-100*x^2)*ln(exp(x-3)-x)*exp(exp(5*exp(x))-2)*ln(ln(exp(x-3)-x))+50*x^2*exp(x-3)-50*x^2)*ln(ln(ln(exp(x-3)-x)))+((250*x^2*exp(x-3)-250*x^3)*exp(x)*exp(5*exp(x))+50*x*exp(x-3)-50*x^2)*ln(exp(x-3)-x)*exp(exp(5*exp(x))-2)^2*ln(ln(exp(x-3)-x))+(50*x^2*exp(x-3)-50*x^2)*exp(exp(5*exp(x))-2))/(exp(x-3)-x)/ln(exp(x-3)-x)/ln(ln(exp(x-3)-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x^{2} {\mathrm e}^{2 \,{\mathrm e}^{5 \,{\mathrm e}^{x}}-4}+50 x^{2} {\mathrm e}^{{\mathrm e}^{5 \,{\mathrm e}^{x}}-2} \ln \left(\ln \left(\ln \left({\mathrm e}^{x -3}-x \right)\right)\right)+25 \ln \left(\ln \left(\ln \left({\mathrm e}^{x -3}-x \right)\right)\right)^{2} x^{2}$&$59$\\ \hline \end{longtable}"," ",0,"25*x^2*exp(2*exp(5*exp(x))-4)+50*x^2*exp(exp(5*exp(x))-2)*ln(ln(ln(exp(x-3)-x)))+25*ln(ln(ln(exp(x-3)-x)))^2*x^2","B"
6818,1,28,27,0.064000," ","int(((-6*x-36)*ln(x+6)+18*x^3+112*x^2+26*x+45)/(x+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-3 \ln \left(x +6\right)+8 x +2 x^{2}+6 x^{3}-6 x \ln \left(x +6\right)$&$28$\\ risch&$-3 \ln \left(x +6\right)+8 x +2 x^{2}+6 x^{3}-6 x \ln \left(x +6\right)$&$28$\\ derivativedivides&$6 \left(x +6\right)^{3}-6 \left(x +6\right) \ln \left(x +6\right)+632 x +3792-106 \left(x +6\right)^{2}+33 \ln \left(x +6\right)$&$35$\\ default&$6 \left(x +6\right)^{3}-6 \left(x +6\right) \ln \left(x +6\right)+632 x +3792-106 \left(x +6\right)^{2}+33 \ln \left(x +6\right)$&$35$\\ \hline \end{longtable}"," ",0,"-3*ln(x+6)+8*x+2*x^2+6*x^3-6*x*ln(x+6)","A"
6819,1,10,12,0.096000," ","int((25*x^2-260*x+1326)/(25*x^2-260*x+676),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{26}{x -\frac{26}{5}}$&$10$\\ default&$x -\frac{130}{5 x -26}$&$12$\\ norman&$\frac{5 x^{2}-\frac{1326}{5}}{5 x -26}$&$16$\\ gosper&$\frac{25 x^{2}-1326}{25 x -130}$&$17$\\ meijerg&$-\frac{x}{26 \left(1-\frac{5 x}{26}\right)}+\frac{x \left(-\frac{15 x}{26}+6\right)}{3-\frac{15 x}{26}}$&$27$\\ \hline \end{longtable}"," ",0,"x-26/(x-26/5)","A"
6820,1,31,23,0.145000," ","int(((1-2*x)*exp(1)*ln(x)+4*exp(x+1)^2+(-4*x^2+4*x+1)*exp(1))/exp(1)/exp(x+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-1} \left(4 x +\left(x \,{\mathrm e} \ln \left(x \right)+2 x^{2} {\mathrm e}\right) {\mathrm e}^{-2 x -2}\right)$&$31$\\ norman&$\left(x \ln \left(x \right)+2 x^{2}+4 x \,{\mathrm e}^{-1} {\mathrm e}^{2 x +2}\right) {\mathrm e}^{-2 x -2}$&$31$\\ risch&$x \,{\mathrm e}^{-2 x -2} \ln \left(x \right)+2 \left(x \,{\mathrm e}+2 \,{\mathrm e}^{2 x +2}\right) x \,{\mathrm e}^{-2 x -3}$&$34$\\ \hline \end{longtable}"," ",0,"1/exp(1)*(4*x+(x*exp(1)*ln(x)+2*x^2*exp(1))/exp(x+1)^2)","A"
6821,1,812,26,0.339000," ","int((((x-exp(x)+2)*ln(exp(x)*x-x^2-2*x)^2+((2*x+2)*exp(x)-4*x-4)*ln(exp(x)*x-x^2-2*x)+(x^2+x)*exp(x)-x^3-3*x^2-2*x)*exp((ln(exp(x)*x-x^2-2*x)^2+x^2)/x)+(2*x^2+2*x)*exp(x)-2*x^3-6*x^2-4*x)/(exp(x)*x-x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+x \,x^{\frac{2 i \pi}{x}} \left(x -{\mathrm e}^{x}+2\right)^{\frac{2 i \pi}{x}} x^{\frac{i \pi  \,\mathrm{csgn}\left(i x \right)}{x}} \left(x -{\mathrm e}^{x}+2\right)^{\frac{i \pi  \,\mathrm{csgn}\left(i x \right)}{x}} x^{-\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-2-x \right)\right)}{x}} \left(x -{\mathrm e}^{x}+2\right)^{-\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-2-x \right)\right)}{x}} \left(x -{\mathrm e}^{x}+2\right)^{\frac{2 \ln \left(x \right)}{x}} x^{-\frac{i \pi  \,\mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-2-x \right)\right)}{x}} \left(x -{\mathrm e}^{x}+2\right)^{-\frac{i \pi  \,\mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-2-x \right)\right)}{x}} x^{-\frac{i \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right) \pi}{x}} \left(x -{\mathrm e}^{x}+2\right)^{-\frac{i \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right) \pi}{x}} x^{-\frac{2 i \pi}{x}} \left(x -{\mathrm e}^{x}+2\right)^{-\frac{2 i \pi}{x}} {\mathrm e}^{\frac{-\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{4} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-2-x \right)\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{3} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-2-x \right)\right)^{2} \mathrm{csgn}\left(i x \right)-\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-2-x \right)\right)^{2}-2 \pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{5} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-2-x \right)\right)+2 \pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-2-x \right)\right)-\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{6}+2 \pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{5} \mathrm{csgn}\left(i x \right)-\pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{4} \mathrm{csgn}\left(i x \right)^{2}-4 \pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{4} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-2-x \right)\right)-4 \pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-2-x \right)\right)-4 \pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{5}+4 \pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{4} \mathrm{csgn}\left(i x \right)-4 \pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{4}+4 \pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-2-x \right)\right)+4 \pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-2-x \right)\right)+4 \pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{2} \mathrm{csgn}\left(i x \right)+8 \pi^{2} \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-2-x \right)\right)^{2}-4 \pi^{2}+4 \ln \left(x \right)^{2}+4 \ln \left(x -{\mathrm e}^{x}+2\right)^{2}+4 x^{2}}{4 x}}+2 x$&$812$\\ \hline \end{longtable}"," ",0,"x^2+x*x^(2*I/x*Pi)*(x-exp(x)+2)^(2*I/x*Pi)*x^(I/x*Pi*csgn(I*x))*(x-exp(x)+2)^(I/x*Pi*csgn(I*x))*x^(-I/x*Pi*csgn(I*(exp(x)-2-x)))*(x-exp(x)+2)^(-I/x*Pi*csgn(I*(exp(x)-2-x)))*(x-exp(x)+2)^(2*ln(x)/x)*x^(-I/x*Pi*csgn(I*x*(exp(x)-2-x))*csgn(I*x)*csgn(I*(exp(x)-2-x)))*(x-exp(x)+2)^(-I/x*Pi*csgn(I*x*(exp(x)-2-x))*csgn(I*x)*csgn(I*(exp(x)-2-x)))*x^(-I*csgn(I*x*(exp(x)-2-x))*Pi/x)*(x-exp(x)+2)^(-I*csgn(I*x*(exp(x)-2-x))*Pi/x)*x^(-2*I/x*Pi)*(x-exp(x)+2)^(-2*I/x*Pi)*exp(1/4*(-Pi^2*csgn(I*x*(exp(x)-2-x))^4*csgn(I*(exp(x)-2-x))^2-2*Pi^2*csgn(I*x*(exp(x)-2-x))^3*csgn(I*(exp(x)-2-x))^2*csgn(I*x)-Pi^2*csgn(I*x*(exp(x)-2-x))^2*csgn(I*x)^2*csgn(I*(exp(x)-2-x))^2-2*Pi^2*csgn(I*x*(exp(x)-2-x))^5*csgn(I*(exp(x)-2-x))+2*Pi^2*csgn(I*x*(exp(x)-2-x))^3*csgn(I*x)^2*csgn(I*(exp(x)-2-x))-Pi^2*csgn(I*x*(exp(x)-2-x))^6+2*Pi^2*csgn(I*x*(exp(x)-2-x))^5*csgn(I*x)-Pi^2*csgn(I*x*(exp(x)-2-x))^4*csgn(I*x)^2-4*Pi^2*csgn(I*x*(exp(x)-2-x))^4*csgn(I*(exp(x)-2-x))-4*Pi^2*csgn(I*x*(exp(x)-2-x))^3*csgn(I*x)*csgn(I*(exp(x)-2-x))-4*Pi^2*csgn(I*x*(exp(x)-2-x))^5+4*Pi^2*csgn(I*x*(exp(x)-2-x))^4*csgn(I*x)-4*Pi^2*csgn(I*x*(exp(x)-2-x))^4+4*Pi^2*csgn(I*x*(exp(x)-2-x))^2*csgn(I*(exp(x)-2-x))+4*Pi^2*csgn(I*x*(exp(x)-2-x))*csgn(I*x)*csgn(I*(exp(x)-2-x))+4*Pi^2*csgn(I*x*(exp(x)-2-x))^3-4*Pi^2*csgn(I*x*(exp(x)-2-x))^2*csgn(I*x)+8*Pi^2*csgn(I*x*(exp(x)-2-x))^2-4*Pi^2+4*ln(x)^2+4*ln(x-exp(x)+2)^2+4*x^2)/x)+2*x","C"
6822,1,24,27,0.105000," ","int((-384*exp((16-x)/x)^4+10*x^3*exp(3)-10*x^3)/(x^2*exp(3)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x^{2}+\frac{6 \,{\mathrm e}^{-\frac{4 \left(x -16\right)}{x}}}{{\mathrm e}^{3}-1}$&$24$\\ norman&$\frac{5 x^{3}+\frac{6 x \,{\mathrm e}^{\frac{-4 x +64}{x}}}{{\mathrm e}^{3}-1}}{x}$&$32$\\ derivativedivides&$-\frac{1280 x^{2}}{256 \,{\mathrm e}^{3}-256}+\frac{6 \,{\mathrm e}^{-4+\frac{64}{x}}}{{\mathrm e}^{3}-1}+\frac{1280 \,{\mathrm e}^{3} x^{2}}{256 \,{\mathrm e}^{3}-256}$&$48$\\ default&$-\frac{1280 x^{2}}{256 \,{\mathrm e}^{3}-256}+\frac{6 \,{\mathrm e}^{-4+\frac{64}{x}}}{{\mathrm e}^{3}-1}+\frac{1280 \,{\mathrm e}^{3} x^{2}}{256 \,{\mathrm e}^{3}-256}$&$48$\\ \hline \end{longtable}"," ",0,"5*x^2+6*exp(-4*(x-16)/x)/(exp(3)-1)","A"
6823,1,11,17,0.026000," ","int((-24*x-24)*exp(4*x^2+8*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 \,{\mathrm e}^{4 \left(x +1\right)^{2}}$&$11$\\ gosper&$-3 \,{\mathrm e}^{4 x^{2}+8 x +4}$&$14$\\ default&$-3 \,{\mathrm e}^{4 x^{2}+8 x +4}$&$14$\\ norman&$-3 \,{\mathrm e}^{4 x^{2}+8 x +4}$&$14$\\ \hline \end{longtable}"," ",0,"-3*exp(4*(x+1)^2)","A"
6824,1,17,15,0.070000," ","int((-8*ln(x)+4*x+16)/(x^2+4*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(\ln \left(x \right)\right)-2 \ln \left(x \right)+2 \ln \left(4+x \right)$&$17$\\ norman&$4 \ln \left(\ln \left(x \right)\right)-2 \ln \left(x \right)+2 \ln \left(4+x \right)$&$17$\\ risch&$4 \ln \left(\ln \left(x \right)\right)-2 \ln \left(x \right)+2 \ln \left(4+x \right)$&$17$\\ \hline \end{longtable}"," ",0,"4*ln(ln(x))-2*ln(x)+2*ln(4+x)","A"
6825,1,16,16,0.034000," ","int(((2*x^2+2*x)*ln(x+1)^2+(-16*x^2-17*x-1)*ln(x+1)+32*x^2+37*x+4)/((x+1)*ln(x+1)^2+(-8*x-8)*ln(x+1)+16*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{x}{\ln \left(x +1\right)-4}$&$16$\\ norman&$\frac{x^{2} \ln \left(x +1\right)-x -4 x^{2}}{\ln \left(x +1\right)-4}$&$27$\\ \hline \end{longtable}"," ",0,"x^2-x/(ln(x+1)-4)","A"
6826,1,7,17,0.009000," ","int(exp(1)+5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left({\mathrm e}+5\right) x$&$7$\\ norman&$\left({\mathrm e}+5\right) x$&$7$\\ risch&$x \,{\mathrm e}+5 x$&$9$\\ \hline \end{longtable}"," ",0,"(exp(1)+5)*x","A"
6827,1,27,29,0.046000," ","int(((13*x^3+6*x^2)*ln(9*x)^2+(-52*x^2-33*x)*ln(9*x)+49*x+36)/(x^5*ln(9*x)^2-4*x^4*ln(9*x)+4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{13 x +3}{x^{2}}+\frac{3}{x^{2} \left(x \ln \left(9 x \right)-2\right)}$&$27$\\ norman&$\frac{9-13 x^{2} \ln \left(9 x \right)+26 x -3 x \ln \left(9 x \right)}{x^{2} \left(x \ln \left(9 x \right)-2\right)}$&$36$\\ \hline \end{longtable}"," ",0,"-(13*x+3)/x^2+3/x^2/(x*ln(9*x)-2)","A"
6828,1,135,19,0.145000," ","int(((-ln(x)^2+x*ln(x))*ln((5*ln(x)-5*x)/ln(x))*ln(ln((5*ln(x)-5*x)/ln(x)))+(4*x^5*ln(x)^2-4*x^6*ln(x))*ln((5*ln(x)-5*x)/ln(x))+x-x*ln(x))/(x^2*ln(x)^2-x^3*ln(x))/ln((5*ln(x)-5*x)/ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(5\right)+i \pi -\ln \left(\ln \left(x \right)\right)+\ln \left(x -\ln \left(x \right)\right)+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right) \left(\mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right)+\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)\right) \left(\mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right)-\mathrm{csgn}\left(i \left(\ln \left(x \right)-x \right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right)^{2} \left(-\mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-x \right)}{\ln \left(x \right)}\right)-1\right)\right)}{x}+x^{4}$&$135$\\ \hline \end{longtable}"," ",0,"1/x*ln(ln(5)+I*Pi-ln(ln(x))+ln(x-ln(x))+1/2*I*Pi*csgn(I*(ln(x)-x)/ln(x))*(csgn(I*(ln(x)-x)/ln(x))+csgn(I/ln(x)))*(csgn(I*(ln(x)-x)/ln(x))-csgn(I*(ln(x)-x)))+I*Pi*csgn(I*(ln(x)-x)/ln(x))^2*(-csgn(I*(ln(x)-x)/ln(x))-1))+x^4","C"
6829,1,172,25,0.905000," ","int((9*(2*x+10)*ln(2)^2*ln(x)+9*(6*x^4-30*x^3-2*x+10)*ln(2)^2*ln(x/(x^2-10*x+25))+9*(-2*x^4-10*x^3)*ln(2)^2)/((9*x^2-45*x)*ln(x/(x^2-10*x+25))^3*ln(x)^3+(-27*x^5+135*x^4)*ln(x/(x^2-10*x+25))^3*ln(x)^2+(27*x^8-135*x^7)*ln(x/(x^2-10*x+25))^3*ln(x)+(-9*x^11+45*x^10)*ln(x/(x^2-10*x+25))^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \ln \left(2\right)^{2}}{\left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\left(x -5\right)^{2}}\right) \mathrm{csgn}\left(\frac{i x}{\left(x -5\right)^{2}}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\left(x -5\right)^{2}}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\left(x -5\right)^{2}}\right) \mathrm{csgn}\left(\frac{i x}{\left(x -5\right)^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x -5\right)\right)^{2} \mathrm{csgn}\left(i \left(x -5\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x -5\right)\right) \mathrm{csgn}\left(i \left(x -5\right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x -5\right)^{2}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i x}{\left(x -5\right)^{2}}\right)^{3}+2 i \ln \left(x \right)-4 i \ln \left(x -5\right)\right)^{2} \left(x^{3}-\ln \left(x \right)\right)^{2}}$&$172$\\ \hline \end{longtable}"," ",0,"-4*ln(2)^2/(Pi*csgn(I*x)*csgn(I/(x-5)^2)*csgn(I*x/(x-5)^2)-Pi*csgn(I*x)*csgn(I*x/(x-5)^2)^2-Pi*csgn(I/(x-5)^2)*csgn(I*x/(x-5)^2)^2-Pi*csgn(I*(x-5))^2*csgn(I*(x-5)^2)+2*Pi*csgn(I*(x-5))*csgn(I*(x-5)^2)^2-Pi*csgn(I*(x-5)^2)^3+Pi*csgn(I*x/(x-5)^2)^3+2*I*ln(x)-4*I*ln(x-5))^2/(x^3-ln(x))^2","C"
6830,1,81,28,4.546000," ","int((((-x-1)*exp(16-x)*ln(16/x^2)+((x+1)*ln(5)+2)*exp(16-x))*ln(x)^2+(2*exp(16-x)*ln(16/x^2)-2*ln(5)*exp(16-x))*ln(x))*exp(exp(16-x)*ln(x)^2/(x*ln(16/x^2)-x*ln(5)))/(x^2*ln(16/x^2)^2-2*x^2*ln(5)*ln(16/x^2)+x^2*ln(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 \,{\mathrm e}^{16-x} \ln \left(x \right)^{2}}{x \left(i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}-4 \ln \left(x \right)-2 \ln \left(5\right)+8 \ln \left(2\right)\right)}}$&$81$\\ \hline \end{longtable}"," ",0,"exp(2*exp(16-x)*ln(x)^2/x/(I*Pi*csgn(I*x^2)^3-2*I*Pi*csgn(I*x^2)^2*csgn(I*x)+I*Pi*csgn(I*x^2)*csgn(I*x)^2-4*ln(x)-2*ln(5)+8*ln(2)))","C"
6831,1,26,21,0.023000," ","int(ln(x)^2+(-6*exp(9)+2)*ln(x)-2*ln(2)+9*exp(9)^2-6*exp(9)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +x \ln \left(x \right)^{2}-6 x \,{\mathrm e}^{9} \ln \left(x \right)+9 \,{\mathrm e}^{18} x -2 x \ln \left(2\right)$&$26$\\ default&$x +x \ln \left(x \right)^{2}-6 x \,{\mathrm e}^{9} \ln \left(x \right)+9 \,{\mathrm e}^{18} x -2 x \ln \left(2\right)$&$28$\\ norman&$x \ln \left(x \right)^{2}+\left(1+9 \,{\mathrm e}^{18}-2 \ln \left(2\right)\right) x -6 x \,{\mathrm e}^{9} \ln \left(x \right)$&$29$\\ \hline \end{longtable}"," ",0,"x+x*ln(x)^2-6*x*exp(9)*ln(x)+9*exp(18)*x-2*x*ln(2)","A"
6832,1,13,19,0.017000," ","int((-3*exp(x)*x-x+4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +4 \ln \left(x \right)-3 \,{\mathrm e}^{x}$&$13$\\ norman&$-x +4 \ln \left(x \right)-3 \,{\mathrm e}^{x}$&$13$\\ risch&$-x +4 \ln \left(x \right)-3 \,{\mathrm e}^{x}$&$13$\\ \hline \end{longtable}"," ",0,"-x+4*ln(x)-3*exp(x)","A"
6833,1,20,17,0.184000," ","int((5*exp(x)+1)*exp((5*exp(16)*exp(x)+x*exp(16)-1)/exp(16))*exp(exp((5*exp(16)*exp(x)+x*exp(16)-1)/exp(16)))+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{{\mathrm e}^{\left(5 \,{\mathrm e}^{x +16}+x \,{\mathrm e}^{16}-1\right) {\mathrm e}^{-16}}}$&$20$\\ default&$x +{\mathrm e}^{{\mathrm e}^{\left(5 \,{\mathrm e}^{16} {\mathrm e}^{x}+x \,{\mathrm e}^{16}-1\right) {\mathrm e}^{-16}}}$&$22$\\ norman&$x +{\mathrm e}^{{\mathrm e}^{\left(5 \,{\mathrm e}^{16} {\mathrm e}^{x}+x \,{\mathrm e}^{16}-1\right) {\mathrm e}^{-16}}}$&$22$\\ \hline \end{longtable}"," ",0,"x+exp(exp((5*exp(x+16)+x*exp(16)-1)*exp(-16)))","A"
6834,1,21,23,0.032000," ","int((2*x*ln(3)*ln(ln(3))+(x^2+2*x)*exp(x)-4*x*ln(3))/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\ln \left(\ln \left(3\right)\right)-2\right) x^{2}+\frac{x^{2} {\mathrm e}^{x}}{\ln \left(3\right)}$&$21$\\ risch&$x^{2} \ln \left(\ln \left(3\right)\right)-2 x^{2}+\frac{x^{2} {\mathrm e}^{x}}{\ln \left(3\right)}$&$24$\\ default&$\frac{{\mathrm e}^{x} x^{2}-2 x^{2} \ln \left(3\right)+x^{2} \ln \left(3\right) \ln \left(\ln \left(3\right)\right)}{\ln \left(3\right)}$&$29$\\ \hline \end{longtable}"," ",0,"(ln(ln(3))-2)*x^2+x^2/ln(3)*exp(x)","A"
6835,1,11,10,0.071000," ","int(-2*ln(-1/(5+x))/(5+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(-\frac{1}{5+x}\right)^{2}$&$11$\\ default&$\ln \left(-\frac{1}{5+x}\right)^{2}$&$11$\\ norman&$\ln \left(-\frac{1}{5+x}\right)^{2}$&$11$\\ risch&$\ln \left(-\frac{1}{5+x}\right)^{2}$&$11$\\ \hline \end{longtable}"," ",0,"ln(-1/(5+x))^2","A"
6836,1,30,21,0.122000," ","int((-6*exp(8)*ln(4/x)+2*exp(8)+6)/(x*exp(8)*ln(4/x)-x)/ln(1/5*(x^3*exp(8)*ln(4/x)-x^3)/exp(8))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2}{\ln \left(\frac{\left(x^{3} {\mathrm e}^{8} \ln \left(\frac{4}{x}\right)-x^{3}\right) {\mathrm e}^{-8}}{5}\right)}$&$30$\\ \hline \end{longtable}"," ",0,"2/ln(1/5*(x^3*exp(8)*ln(4/x)-x^3)/exp(8))","A"
6837,1,16,21,0.078000," ","int((16*x^4+2*x^3-96*x^2-112)/(x^4+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$16 x +\ln \left(x^{2}+1\right)+\frac{112}{x}$&$16$\\ meijerg&$16 x +\ln \left(x^{2}+1\right)+\frac{112}{x}$&$16$\\ risch&$16 x +\ln \left(x^{2}+1\right)+\frac{112}{x}$&$16$\\ norman&$\frac{16 x^{2}+112}{x}+\ln \left(x^{2}+1\right)$&$19$\\ \hline \end{longtable}"," ",0,"16*x+ln(x^2+1)+112/x","A"
6838,1,47,22,0.180000," ","int((((-10*ln(5)-100*x+40)*exp(x^2)-x*ln(5)-10*x^2+4*x)*ln((10*exp(x^2)+x)/exp(x^2))+(2*x^3-x)*ln(5)+10*x^4-8*x^3-5*x^2+4*x)/(10*exp(x^2)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-\ln \left(5\right)+4\right) x \ln \left(\left(10 \,{\mathrm e}^{x^{2}}+x \right) {\mathrm e}^{-x^{2}}\right)-5 \ln \left(\left(10 \,{\mathrm e}^{x^{2}}+x \right) {\mathrm e}^{-x^{2}}\right) x^{2}$&$47$\\ risch&$\left(x \ln \left(5\right)+5 x^{2}-4 x \right) \ln \left({\mathrm e}^{x^{2}}\right)-\ln \left(5\right) x \ln \left(10 \,{\mathrm e}^{x^{2}}+x \right)-5 x^{2} \ln \left(10 \,{\mathrm e}^{x^{2}}+x \right)+4 x \ln \left(10 \,{\mathrm e}^{x^{2}}+x \right)+\frac{i \pi  \ln \left(5\right) x \,\mathrm{csgn}\left(i \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right)}{2}+2 i \pi  x \,\mathrm{csgn}\left(i \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right)^{2}-2 i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right)^{3}+\frac{5 i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right)^{3}}{2}+\frac{i \pi  \ln \left(5\right) x \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right)^{3}}{2}-\frac{i \pi  \ln \left(5\right) x \,\mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right)^{2}}{2}+2 i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right)^{2}-2 i \pi  x \,\mathrm{csgn}\left(i \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right)+\frac{5 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right)}{2}-\frac{i \pi  \ln \left(5\right) x \,\mathrm{csgn}\left(i \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right)^{2}}{2}-\frac{5 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right)^{2}}{2}-\frac{5 i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}} \left(10 \,{\mathrm e}^{x^{2}}+x \right)\right)^{2}}{2}$&$503$\\ \hline \end{longtable}"," ",0,"(-ln(5)+4)*x*ln((10*exp(x^2)+x)/exp(x^2))-5*ln((10*exp(x^2)+x)/exp(x^2))*x^2","B"
6839,1,53,27,0.244000," ","int((((-x^3+5*x^2-4)*ln((-x^2+4*x+4)/x)-x^3+6*x^2)*ln(x)*ln(ln(x))+(-x^2+4*x+4)*ln((-x^2+4*x+4)/x)-x^2+4*x+4)/((x^3-4*x^2-4*x)*ln((-x^2+4*x+4)/x)+x^3-4*x^2-4*x)/ln(x)/ln(ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(\ln \left(\ln \left(x \right)\right)\right)-\ln \left(-\frac{x^{2}-4 x -4}{x}\right)-x +\ln \left(x^{2}-4 x -4\right)+\ln \left(\ln \left(-\frac{x^{2}-4 x -4}{x}\right)+1\right)$&$53$\\ risch&$\ln \left(x \right)-x +\ln \left(\ln \left(x^{2}-4 x -4\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x^{2}-4 x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4 x -4\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4 x -4\right)}{x}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}-4 x -4\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x^{2}-4 x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4 x -4\right)}{x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(x^{2}-4 x -4\right)}{x}\right)^{3}-2 \pi -2 i \ln \left(x \right)+2 i\right)}{2}\right)-\ln \left(\ln \left(\ln \left(x \right)\right)\right)$&$173$\\ \hline \end{longtable}"," ",0,"-ln(ln(ln(x)))-ln(-(x^2-4*x-4)/x)-x+ln(x^2-4*x-4)+ln(ln(-(x^2-4*x-4)/x)+1)","A"
6840,0,0,18,0.025000," ","int((6*ln(ln(1/9*(16*x^3-4)/x^3))+18)/(4*x^4-x)/ln(1/9*(16*x^3-4)/x^3),x)","\[\int \frac{6 \ln \left(\ln \left(\frac{16 x^{3}-4}{9 x^{3}}\right)\right)+18}{\left(4 x^{4}-x \right) \ln \left(\frac{16 x^{3}-4}{9 x^{3}}\right)}\, dx\]"," ",0,"int((6*ln(ln(1/9*(16*x^3-4)/x^3))+18)/(4*x^4-x)/ln(1/9*(16*x^3-4)/x^3),x)","F"
6841,1,61,29,1.269000," ","int(((8*exp(5)^2+(-16*x+24)*exp(5)+8*x^2-24*x+56)*exp(4*x+15)^2+(-8*exp(5)^6+(48*x-56)*exp(5)^5+(-120*x^2+280*x-280)*exp(5)^4+(160*x^3-560*x^2+1120*x-800)*exp(5)^3+(-120*x^4+560*x^3-1680*x^2+2400*x-1760)*exp(5)^2+(48*x^5-280*x^4+1120*x^3-2400*x^2+3520*x-2208)*exp(5)-8*x^6+56*x^5-280*x^4+800*x^3-1760*x^2+2208*x-2016)*ln(3)*exp(4*x+15))/(exp(5)^10+(-10*x+10)*exp(5)^9+(45*x^2-90*x+70)*exp(5)^8+(-120*x^3+360*x^2-560*x+320)*exp(5)^7+(210*x^4-840*x^3+1960*x^2-2240*x+1160)*exp(5)^6+(-252*x^5+1260*x^4-3920*x^3+6720*x^2-6960*x+3152)*exp(5)^5+(210*x^6-1260*x^5+4900*x^4-11200*x^3+17400*x^2-15760*x+6960)*exp(5)^4+(-120*x^7+840*x^6-3920*x^5+11200*x^4-23200*x^3+31520*x^2-27840*x+11520)*exp(5)^3+(45*x^8-360*x^7+1960*x^6-6720*x^5+17400*x^4-31520*x^3+41760*x^2-34560*x+15120)*exp(5)^2+(-10*x^9+90*x^8-560*x^7+2240*x^6-6960*x^5+15760*x^4-27840*x^3+34560*x^2-30240*x+12960)*exp(5)+x^10-10*x^9+70*x^8-320*x^7+1160*x^6-3152*x^5+6960*x^4-11520*x^3+15120*x^2-12960*x+7776),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{8 x +30}}{\left({\mathrm e}^{10}-2 x \,{\mathrm e}^{5}+x^{2}+2 \,{\mathrm e}^{5}-2 x +6\right)^{4}}-\frac{2 \ln \left(3\right) {\mathrm e}^{4 x +15}}{\left({\mathrm e}^{10}-2 x \,{\mathrm e}^{5}+x^{2}+2 \,{\mathrm e}^{5}-2 x +6\right)^{2}}$&$61$\\ norman&$\frac{{\mathrm e}^{8 x +30}+\left(-2 \,{\mathrm e}^{20} \ln \left(3\right)-8 \ln \left(3\right) {\mathrm e}^{15}-32 \ln \left(3\right) {\mathrm e}^{10}-48 \,{\mathrm e}^{5} \ln \left(3\right)-72 \ln \left(3\right)\right) {\mathrm e}^{4 x +15}+\left(8 \ln \left(3\right)+8 \,{\mathrm e}^{5} \ln \left(3\right)\right) x^{3} {\mathrm e}^{4 x +15}+\left(-12 \ln \left(3\right) {\mathrm e}^{10}-24 \,{\mathrm e}^{5} \ln \left(3\right)-32 \ln \left(3\right)\right) x^{2} {\mathrm e}^{4 x +15}+\left(8 \ln \left(3\right) {\mathrm e}^{15}+24 \ln \left(3\right) {\mathrm e}^{10}+64 \,{\mathrm e}^{5} \ln \left(3\right)+48 \ln \left(3\right)\right) x \,{\mathrm e}^{4 x +15}-2 x^{4} \ln \left(3\right) {\mathrm e}^{4 x +15}}{\left({\mathrm e}^{10}-2 x \,{\mathrm e}^{5}+x^{2}+2 \,{\mathrm e}^{5}-2 x +6\right)^{4}}$&$174$\\ derivativedivides&$\text{Expression too large to display}$&$21341$\\ default&$\text{Expression too large to display}$&$21341$\\ \hline \end{longtable}"," ",0,"1/(exp(10)-2*x*exp(5)+x^2+2*exp(5)-2*x+6)^4*exp(8*x+30)-2*ln(3)/(exp(10)-2*x*exp(5)+x^2+2*exp(5)-2*x+6)^2*exp(4*x+15)","B"
6842,1,40,26,0.182000," ","int((-2*x*ln(x)^2+(-4*x^2*ln(36/x)-24*x^3-18*x)*ln(x)-2*x^3*ln(36/x)^2+(-24*x^4-19*x^2)*ln(36/x)-72*x^5-120*x^3+x^2-41*x)/(ln(x)^2+(2*x*ln(36/x)+12*x^2+10)*ln(x)+x^2*ln(36/x)^2+(12*x^3+10*x)*ln(36/x)+36*x^4+60*x^2+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+\frac{2 x^{2}}{10+4 x \ln \left(2\right)+4 x \ln \left(3\right)+12 x^{2}-2 x \ln \left(x \right)+2 \ln \left(x \right)}$&$40$\\ \hline \end{longtable}"," ",0,"-x^2+2*x^2/(10+4*x*ln(2)+4*x*ln(3)+12*x^2-2*x*ln(x)+2*ln(x))","A"
6843,1,13,12,0.016000," ","int(ln(2)^2*ln(ln(23/3))-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(\ln \left(2\right)^{2} \ln \left(\ln \left(\frac{23}{3}\right)\right)-1\right) x$&$13$\\ norman&$\left(\ln \left(2\right)^{2} \ln \left(\ln \left(23\right)-\ln \left(3\right)\right)-1\right) x$&$18$\\ risch&$\ln \left(2\right)^{2} \ln \left(\ln \left(23\right)-\ln \left(3\right)\right) x -x$&$19$\\ \hline \end{longtable}"," ",0,"(ln(2)^2*ln(ln(23/3))-1)*x","A"
6844,1,37,27,0.083000," ","int(((-16*x^4+32*x)*exp(5)^2+2*x^9-30*x^7+24*x^6+150*x^5-240*x^4-154*x^3+600*x^2-480*x+128)/(x^9-15*x^7+12*x^6+75*x^5-120*x^4-77*x^3+300*x^2-240*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{4 \,{\mathrm e}^{10} x^{2}}{x^{6}-10 x^{4}+8 x^{3}+25 x^{2}-40 x +16}$&$37$\\ default&$2 x +\frac{{\mathrm e}^{10} \left(-5 x^{3}-16 x^{2}+16 x +64\right)}{\left(x^{2}+x -4\right)^{2}}+\frac{{\mathrm e}^{10}}{\left(x -1\right)^{2}}+\frac{5 \,{\mathrm e}^{10}}{x -1}$&$48$\\ norman&$\frac{16 x^{4}+32 x +50 x^{3}+\left(4 \,{\mathrm e}^{10}-80\right) x^{2}-20 x^{5}+2 x^{7}}{\left(x^{3}-5 x +4\right)^{2}}$&$48$\\ gosper&$\frac{2 x \left(x^{6}-10 x^{4}+2 x \,{\mathrm e}^{10}+8 x^{3}+25 x^{2}-40 x +16\right)}{x^{6}-10 x^{4}+8 x^{3}+25 x^{2}-40 x +16}$&$59$\\ \hline \end{longtable}"," ",0,"2*x+4*exp(10)*x^2/(x^6-10*x^4+8*x^3+25*x^2-40*x+16)","A"
6845,1,21,25,0.053000," ","int((((-3*x-3)*exp(x)+6)*exp(-3*exp(x)*x+6*x-12)-2*exp(x)^2)*exp(ln(-exp(-3*exp(x)*x+6*x-12)+exp(x)^2)+2)/(exp(-3*exp(x)*x+6*x-12)-exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-10-3 \,{\mathrm e}^{x} x +6 x}+{\mathrm e}^{2 x +2}$&$21$\\ \hline \end{longtable}"," ",0,"-exp(-10-3*exp(x)*x+6*x)+exp(2*x+2)","A"
6846,1,18,16,0.032000," ","int((7*x*ln(x)+2*x*exp(-2/7*x)+14*x-7)/((7*x^2-7*x)*ln(x)-7*x*exp(-2/7*x)+7*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \ln \left(x \right)-\ln \left(x \right)-{\mathrm e}^{-\frac{2 x}{7}}+x \right)$&$18$\\ risch&$\ln \left(x -1\right)+\ln \left(\ln \left(x \right)+\frac{x -{\mathrm e}^{-\frac{2 x}{7}}}{x -1}\right)$&$24$\\ \hline \end{longtable}"," ",0,"ln(x*ln(x)-ln(x)-exp(-2/7*x)+x)","A"
6847,1,73,25,1.344000," ","int((-exp(4)^3+(-3*x^4-60*x^3-450*x^2-1500*x-1875)*exp(4)^2+(-3*x^8-120*x^7-2100*x^6-21000*x^5-131250*x^4-525000*x^3-1312500*x^2-1875000*x-1171874)*exp(4)-x^12-60*x^11-1650*x^10-27500*x^9-309375*x^8-2475000*x^7-14437500*x^6-61875000*x^5-193359382*x^4-429687600*x^3-644531700*x^2-585938000*x-244140000)/(2*x*exp(4)^3+(6*x^5+120*x^4+900*x^3+3000*x^2+3750*x)*exp(4)^2+(6*x^9+240*x^8+4200*x^7+42000*x^6+262500*x^5+1050000*x^4+2625000*x^3+3750000*x^2+2343748*x)*exp(4)+2*x^13+120*x^12+3300*x^11+55000*x^10+618750*x^9+4950000*x^8+28875000*x^7+123750000*x^6+386718748*x^5+859374960*x^4+1289062200*x^3+1171874000*x^2+488280000*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(x \right)}{2}-\frac{\ln \left(x^{4}+20 x^{3}+150 x^{2}+{\mathrm e}^{4}+500 x +624\right)}{2}-\frac{\ln \left(x^{4}+20 x^{3}+150 x^{2}+{\mathrm e}^{4}+500 x +626\right)}{2}+\ln \left(x^{4}+20 x^{3}+150 x^{2}+{\mathrm e}^{4}+500 x +625\right)$&$73$\\ risch&$\ln \left(-x^{4}-20 x^{3}-150 x^{2}-{\mathrm e}^{4}-500 x -625\right)-\frac{\ln \left(x^{9}+40 x^{8}+700 x^{7}+7000 x^{6}+\left(2 \,{\mathrm e}^{4}+43750\right) x^{5}+\left(40 \,{\mathrm e}^{4}+175000\right) x^{4}+\left(300 \,{\mathrm e}^{4}+437500\right) x^{3}+\left(1000 \,{\mathrm e}^{4}+625000\right) x^{2}+\left({\mathrm e}^{8}+1250 \,{\mathrm e}^{4}+390624\right) x \right)}{2}$&$99$\\ default&$-\frac{\ln \left(x \right)}{2}+\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{12}+60 \textit{\_Z}^{11}+1650 \textit{\_Z}^{10}+27500 \textit{\_Z}^{9}+\left(3 \,{\mathrm e}^{4}+309375\right) \textit{\_Z}^{8}+\left(120 \,{\mathrm e}^{4}+2475000\right) \textit{\_Z}^{7}+\left(2100 \,{\mathrm e}^{4}+14437500\right) \textit{\_Z}^{6}+\left(21000 \,{\mathrm e}^{4}+61875000\right) \textit{\_Z}^{5}+\left(3 \,{\mathrm e}^{8}+131250 \,{\mathrm e}^{4}+193359374\right) \textit{\_Z}^{4}+\left(60 \,{\mathrm e}^{8}+525000 \,{\mathrm e}^{4}+429687480\right) \textit{\_Z}^{3}+\left(450 \,{\mathrm e}^{8}+1312500 \,{\mathrm e}^{4}+644531100\right) \textit{\_Z}^{2}+\left(1500 \,{\mathrm e}^{8}+1875000 \,{\mathrm e}^{4}+585937000\right) \textit{\_Z} +{\mathrm e}^{12}+1875 \,{\mathrm e}^{8}+1171874 \,{\mathrm e}^{4}+244140000\right)}{\sum}\frac{\left(-\textit{\_R}^{3}-15 \textit{\_R}^{2}-75 \textit{\_R} -125\right) \ln \left(x -\textit{\_R} \right)}{146484250+375 \,{\mathrm e}^{8}+225 \textit{\_R} \,{\mathrm e}^{8}+468750 \,{\mathrm e}^{4}+165 \textit{\_R}^{10}+3 \textit{\_R}^{11}+4331250 \textit{\_R}^{6}+618750 \textit{\_R}^{7}+4125 \textit{\_R}^{9}+61875 \textit{\_R}^{8}+21656250 \textit{\_R}^{5}+77343750 \textit{\_R}^{4}+193359374 \textit{\_R}^{3}+322265610 \textit{\_R}^{2}+322265550 \textit{\_R} +210 \textit{\_R}^{6} {\mathrm e}^{4}+6 \textit{\_R}^{7} {\mathrm e}^{4}+393750 \textit{\_R}^{2} {\mathrm e}^{4}+656250 \textit{\_R} \,{\mathrm e}^{4}+3 \textit{\_R}^{3} {\mathrm e}^{8}+45 \textit{\_R}^{2} {\mathrm e}^{8}+131250 \textit{\_R}^{3} {\mathrm e}^{4}+26250 \textit{\_R}^{4} {\mathrm e}^{4}+3150 \textit{\_R}^{5} {\mathrm e}^{4}}\right)$&$287$\\ \hline \end{longtable}"," ",0,"-1/2*ln(x)-1/2*ln(x^4+20*x^3+150*x^2+exp(4)+500*x+624)-1/2*ln(x^4+20*x^3+150*x^2+exp(4)+500*x+626)+ln(x^4+20*x^3+150*x^2+exp(4)+500*x+625)","B"
6848,1,17,18,0.092000," ","int(((-2*x^2+6*x)*exp(3/2)*ln(x-3)+(x^2-3*x)*exp(3/2)*exp(x)-2*x^2*exp(3/2)+3-x)/(x^2-3*x)/exp(3/2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x}-\ln \left(x \right) {\mathrm e}^{-\frac{3}{2}}-2 \ln \left(x -3\right) x$&$17$\\ norman&${\mathrm e}^{x}-\ln \left(x \right) {\mathrm e}^{-\frac{3}{2}}-2 \ln \left(x -3\right) x$&$19$\\ default&${\mathrm e}^{-\frac{3}{2}} \left({\mathrm e}^{\frac{3}{2}} {\mathrm e}^{x}-2 \,{\mathrm e}^{\frac{3}{2}} \ln \left(x -3\right) x -6 \,{\mathrm e}^{\frac{3}{2}}-\ln \left(x \right)\right)$&$29$\\ \hline \end{longtable}"," ",0,"exp(x)-ln(x)*exp(-3/2)-2*ln(x-3)*x","A"
6849,1,82,30,0.095000," ","int((((8*x^2+4*x)*exp(-x^3+3*x^2)^2+(-3*x^5+6*x^4+79*x^2+40*x)*exp(-x^3+3*x^2)+195*x^2+100*x)*exp((8*x*exp(-x^3+3*x^2)+39*x)/(4*exp(-x^3+3*x^2)+20))^2+((-8*x^2-24*x-8)*exp(-x^3+3*x^2)^2+(3*x^5-12*x^3-79*x^2-238*x-80)*exp(-x^3+3*x^2)-195*x^2-590*x-200)*exp((8*x*exp(-x^3+3*x^2)+39*x)/(4*exp(-x^3+3*x^2)+20))+(4*x+8)*exp(-x^3+3*x^2)^2+(40*x+80)*exp(-x^3+3*x^2)+100*x+200)/(2*exp(-x^3+3*x^2)^2+20*exp(-x^3+3*x^2)+50),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{\frac{\left(8 \,{\mathrm e}^{-x^{2} \left(x -3\right)}+39\right) x}{2 \,{\mathrm e}^{-x^{2} \left(x -3\right)}+10}}+x^{2}+4 x +\left(-2 x^{2}-4 x \right) {\mathrm e}^{\frac{\left(8 \,{\mathrm e}^{-x^{2} \left(x -3\right)}+39\right) x}{4 \,{\mathrm e}^{-x^{2} \left(x -3\right)}+20}}$&$82$\\ \hline \end{longtable}"," ",0,"x^2*exp(1/2*x*(8*exp(-x^2*(x-3))+39)/(exp(-x^2*(x-3))+5))+x^2+4*x+(-2*x^2-4*x)*exp(1/4*x*(8*exp(-x^2*(x-3))+39)/(exp(-x^2*(x-3))+5))","B"
6850,1,15,18,0.048000," ","int(-288*x^2*exp(3)^5/(exp(3)^10+32*x^3*exp(3)^5+256*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 \,{\mathrm e}^{15}}{{\mathrm e}^{15}+16 x^{3}}$&$15$\\ gosper&$\frac{6 \,{\mathrm e}^{15}}{{\mathrm e}^{15}+16 x^{3}}$&$19$\\ norman&$\frac{6 \,{\mathrm e}^{15}}{{\mathrm e}^{15}+16 x^{3}}$&$19$\\ \hline \end{longtable}"," ",0,"6*exp(15)/(exp(15)+16*x^3)","A"
6851,1,24,19,0.037000," ","int((-6*ln(2)^2+(12*x^2+6*x+4)*ln(2))*exp(-6*x*ln(2)^2+(4*x^3+3*x^2+4*x)*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2^{x \left(4 x^{2}+3 x +4\right)} {\mathrm e}^{-6 x \ln \left(2\right)^{2}}$&$24$\\ derivativedivides&${\mathrm e}^{-6 x \ln \left(2\right)^{2}+\left(4 x^{3}+3 x^{2}+4 x \right) \ln \left(2\right)}$&$27$\\ default&${\mathrm e}^{-6 x \ln \left(2\right)^{2}+\left(4 x^{3}+3 x^{2}+4 x \right) \ln \left(2\right)}$&$27$\\ norman&${\mathrm e}^{-6 x \ln \left(2\right)^{2}+\left(4 x^{3}+3 x^{2}+4 x \right) \ln \left(2\right)}$&$27$\\ gosper&${\mathrm e}^{4 x^{3} \ln \left(2\right)-6 x \ln \left(2\right)^{2}+3 x^{2} \ln \left(2\right)+4 x \ln \left(2\right)}$&$29$\\ \hline \end{longtable}"," ",0,"2^(x*(4*x^2+3*x+4))*exp(-6*x*ln(2)^2)","A"
6852,1,31,24,0.049000," ","int((-exp(exp(3)^2+(-2*x+2)*exp(3)+x^2-3*x+9)^2+4*x*exp(3)-4*x^2+6*x+1)/exp(exp(3)^2+(-2*x+2)*exp(3)+x^2-3*x+9)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +x \,{\mathrm e}^{4 x \,{\mathrm e}^{3}-2 x^{2}-4 \,{\mathrm e}^{3}-2 \,{\mathrm e}^{6}+6 x -18}$&$31$\\ default&$-x -\frac{3 \,{\mathrm e}^{-2 x^{2}+\left(4 \,{\mathrm e}^{3}+6\right) x -4 \,{\mathrm e}^{3}-2 \,{\mathrm e}^{6}-18}}{2}+\frac{3 \left(4 \,{\mathrm e}^{3}+6\right) \sqrt{\pi}\, {\mathrm e}^{-4 \,{\mathrm e}^{3}-2 \,{\mathrm e}^{6}-18+\frac{\left(4 \,{\mathrm e}^{3}+6\right)^{2}}{8}} \sqrt{2}\, \erf \left(\sqrt{2}\, x -\frac{\left(4 \,{\mathrm e}^{3}+6\right) \sqrt{2}}{4}\right)}{8}+x \,{\mathrm e}^{-2 x^{2}+\left(4 \,{\mathrm e}^{3}+6\right) x -4 \,{\mathrm e}^{3}-2 \,{\mathrm e}^{6}-18}-\left(4 \,{\mathrm e}^{3}+6\right) \left(-\frac{{\mathrm e}^{-2 x^{2}+\left(4 \,{\mathrm e}^{3}+6\right) x -4 \,{\mathrm e}^{3}-2 \,{\mathrm e}^{6}-18}}{4}+\frac{\left(4 \,{\mathrm e}^{3}+6\right) \sqrt{\pi}\, {\mathrm e}^{-4 \,{\mathrm e}^{3}-2 \,{\mathrm e}^{6}-18+\frac{\left(4 \,{\mathrm e}^{3}+6\right)^{2}}{8}} \sqrt{2}\, \erf \left(\sqrt{2}\, x -\frac{\left(4 \,{\mathrm e}^{3}+6\right) \sqrt{2}}{4}\right)}{16}\right)-{\mathrm e}^{-2 x^{2}+\left(4 \,{\mathrm e}^{3}+6\right) x -4 \,{\mathrm e}^{3}-2 \,{\mathrm e}^{6}-15}+\frac{\left(4 \,{\mathrm e}^{3}+6\right) \sqrt{\pi}\, {\mathrm e}^{-4 \,{\mathrm e}^{3}-2 \,{\mathrm e}^{6}-15+\frac{\left(4 \,{\mathrm e}^{3}+6\right)^{2}}{8}} \sqrt{2}\, \erf \left(\sqrt{2}\, x -\frac{\left(4 \,{\mathrm e}^{3}+6\right) \sqrt{2}}{4}\right)}{4}$&$277$\\ \hline \end{longtable}"," ",0,"-x+x*exp(4*x*exp(3)-2*x^2-4*exp(3)-2*exp(6)+6*x-18)","A"
6853,1,56,25,0.036000," ","int(((-16*x^3+4*x^2-6*x+1)*exp(5)^2+(32*x^3+12*x)*exp(5)-16*x^3-6*x)/(exp(5)^2-2*exp(5)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-4 \,{\mathrm e}^{5}+4\right) x^{4}+\left(-3 \,{\mathrm e}^{5}+3\right) x^{2}+\frac{{\mathrm e}^{10} x}{{\mathrm e}^{5}-1}+\frac{4 \,{\mathrm e}^{10} x^{3}}{3 \left({\mathrm e}^{5}-1\right)}}{{\mathrm e}^{5}-1}$&$56$\\ default&$\frac{{\mathrm e}^{10} \left(-4 x^{4}+\frac{4}{3} x^{3}-3 x^{2}+x \right)+{\mathrm e}^{5} \left(8 x^{4}+6 x^{2}\right)-4 x^{4}-3 x^{2}}{{\mathrm e}^{10}-2 \,{\mathrm e}^{5}+1}$&$61$\\ gosper&$-\frac{x \left(12 x^{3} {\mathrm e}^{10}-4 x^{2} {\mathrm e}^{10}-24 x^{3} {\mathrm e}^{5}+9 x \,{\mathrm e}^{10}+12 x^{3}-3 \,{\mathrm e}^{10}-18 x \,{\mathrm e}^{5}+9 x \right)}{3 \left({\mathrm e}^{10}-2 \,{\mathrm e}^{5}+1\right)}$&$68$\\ risch&$-\frac{4 x^{4} {\mathrm e}^{10}}{{\mathrm e}^{10}-2 \,{\mathrm e}^{5}+1}+\frac{4 x^{3} {\mathrm e}^{10}}{3 \left({\mathrm e}^{10}-2 \,{\mathrm e}^{5}+1\right)}+\frac{8 x^{4} {\mathrm e}^{5}}{{\mathrm e}^{10}-2 \,{\mathrm e}^{5}+1}-\frac{3 x^{2} {\mathrm e}^{10}}{{\mathrm e}^{10}-2 \,{\mathrm e}^{5}+1}-\frac{4 x^{4}}{{\mathrm e}^{10}-2 \,{\mathrm e}^{5}+1}+\frac{x \,{\mathrm e}^{10}}{{\mathrm e}^{10}-2 \,{\mathrm e}^{5}+1}+\frac{6 x^{2} {\mathrm e}^{5}}{{\mathrm e}^{10}-2 \,{\mathrm e}^{5}+1}-\frac{3 x^{2}}{{\mathrm e}^{10}-2 \,{\mathrm e}^{5}+1}$&$131$\\ \hline \end{longtable}"," ",0,"((-4*exp(5)+4)*x^4+(-3*exp(5)+3)*x^2+exp(5)^2/(exp(5)-1)*x+4/3*exp(5)^2/(exp(5)-1)*x^3)/(exp(5)-1)","B"
6854,1,31,17,0.028000," ","int(((2*ln(2)*(x+1)+3*x+3)*ln(x^2)+4*ln(2)+6)/x/ln(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \left(2 \ln \left(2\right)+3\right)+\left(\frac{3}{2}+\ln \left(2\right)\right) \ln \left(x^{2}\right)+\left(2 \ln \left(2\right)+3\right) \ln \left(\ln \left(x^{2}\right)\right)$&$31$\\ default&$2 \ln \left(2\right) \ln \left(x \right)+2 \ln \left(2\right) \ln \left(\ln \left(x^{2}\right)\right)+2 x \ln \left(2\right)+3 \ln \left(\ln \left(x^{2}\right)\right)+3 x +3 \ln \left(x \right)$&$36$\\ risch&$2 \ln \left(2\right) \ln \left(x \right)+2 \ln \left(2\right) \ln \left(\ln \left(x^{2}\right)\right)+2 x \ln \left(2\right)+3 \ln \left(\ln \left(x^{2}\right)\right)+3 x +3 \ln \left(x \right)$&$36$\\ \hline \end{longtable}"," ",0,"x*(2*ln(2)+3)+(3/2+ln(2))*ln(x^2)+(2*ln(2)+3)*ln(ln(x^2))","A"
6855,1,127,25,0.175000," ","int(((2*(2*x^2-6*x)*ln(2)*ln(x-3)+12*x*ln(2)+4*x-12)*ln(9*x^2)+4*(2*x^3-6*x^2)*ln(2)^2*ln(x-3)^2+(4*(-2*x^3+12*x^2)*ln(2)^2+2*(154*x^2-462*x)*ln(2))*ln(x-3)-24*x^2*ln(2)^2+2*(-4*x^2+462*x)*ln(2)+300*x-900)/(625*x^2-1875*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 x^{2} \ln \left(2\right)^{2} \ln \left(x -3\right)^{2}}{625}-\frac{8 \ln \left(x -3\right) \ln \left(2\right)^{2} x^{2}}{625}+\frac{4 x^{2} \ln \left(2\right)^{2}}{625}-\frac{108 \ln \left(2\right)^{2}}{625}+\frac{8 \ln \left(2\right) \ln \left(x -3\right) x \ln \left(3\right)}{625}+\frac{4 \ln \left(2\right) \ln \left(x -3\right) x \ln \left(x^{2}\right)}{625}-\frac{8 x \ln \left(2\right) \ln \left(3\right)}{625}-\frac{4 x \ln \left(2\right) \ln \left(x^{2}\right)}{625}+\frac{12 \ln \left(2\right) \ln \left(x -3\right) x}{25}+\frac{24 \ln \left(2\right) \ln \left(3\right)}{625}-\frac{12 x \ln \left(2\right)}{25}+\frac{924 \ln \left(2\right)}{625}+\frac{12 \ln \left(x \right)}{25}+\frac{8 \ln \left(3\right) \ln \left(x \right)}{625}+\frac{\ln \left(x^{2}\right)^{2}}{625}$&$127$\\ risch&$\frac{4 x^{2} \ln \left(2\right)^{2} \ln \left(x -3\right)^{2}}{625}+\left(\frac{8 x \ln \left(2\right) \ln \left(x \right)}{625}-\frac{2 i \pi  \ln \left(2\right) x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{625}+\frac{4 i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{625}-\frac{2 i \pi  \ln \left(2\right) x \mathrm{csgn}\left(i x^{2}\right)^{3}}{625}-\frac{8 x^{2} \ln \left(2\right)^{2}}{625}+\frac{8 x \ln \left(2\right) \ln \left(3\right)}{625}+\frac{12 x \ln \left(2\right)}{25}\right) \ln \left(x -3\right)+\frac{4 \ln \left(x \right)^{2}}{625}-\frac{8 x \ln \left(2\right) \ln \left(x \right)}{625}-\frac{2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3}}{625}+\frac{2 i \pi  \ln \left(2\right) x \mathrm{csgn}\left(i x^{2}\right)^{3}}{625}-\frac{4 i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{625}+\frac{4 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{625}-\frac{2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{625}+\frac{2 i \pi  \ln \left(2\right) x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{625}+\frac{4 x^{2} \ln \left(2\right)^{2}}{625}-\frac{8 x \ln \left(2\right) \ln \left(3\right)}{625}-\frac{12 x \ln \left(2\right)}{25}+\frac{8 \ln \left(3\right) \ln \left(x \right)}{625}+\frac{12 \ln \left(x \right)}{25}$&$266$\\ \hline \end{longtable}"," ",0,"4/625*x^2*ln(2)^2*ln(x-3)^2-8/625*ln(x-3)*ln(2)^2*x^2+4/625*x^2*ln(2)^2-108/625*ln(2)^2+8/625*ln(2)*ln(x-3)*x*ln(3)+4/625*ln(2)*ln(x-3)*x*ln(x^2)-8/625*x*ln(2)*ln(3)-4/625*x*ln(2)*ln(x^2)+12/25*ln(2)*ln(x-3)*x+24/625*ln(2)*ln(3)-12/25*x*ln(2)+924/625*ln(2)+12/25*ln(x)+8/625*ln(3)*ln(x)+1/625*ln(x^2)^2","B"
6856,1,48,33,0.095000," ","int(((x^4-48*x^2+32*x)*ln(x)^2+(-2*x^5+86*x^3+x^2-40*x)*ln(x)+x^6-33*x^4-63*x^3+85*x^2-20*x)/((2*x^4-64*x^2+512)*ln(x)^2+(-4*x^5+108*x^3+80*x^2-704*x-1280)*ln(x)+2*x^6-44*x^4-80*x^3+242*x^2+880*x+800),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{x^{3}}{2}+\frac{x^{2} \ln \left(x \right)}{2}+\frac{x^{4}}{2}-\frac{x^{3} \ln \left(x \right)}{2}}{x^{3}-x^{2} \ln \left(x \right)-11 x +16 \ln \left(x \right)-20}$&$48$\\ risch&$\frac{x^{3}-16}{2 x^{2}-32}-\frac{5 x^{2} \left(x -1\right)}{2 \left(4+x \right) \left(x -4\right) \left(x^{2}-x \ln \left(x \right)+4 x -4 \ln \left(x \right)+5\right)}$&$53$\\ \hline \end{longtable}"," ",0,"(-1/2*x^3+1/2*x^2*ln(x)+1/2*x^4-1/2*x^3*ln(x))/(x^3-x^2*ln(x)-11*x+16*ln(x)-20)","A"
6857,1,7474,25,0.856000," ","int((((8*x-32)*exp(1)*ln(x)+(-4*x+16)*exp(1))*ln(1/100*(ln(x)^2+60*x^2*ln(x)+900*x^4)/x^4)-x*exp(1)*ln(x)-30*x^3*exp(1))*exp(ln(1/100*(ln(x)^2+60*x^2*ln(x)+900*x^4)/x^4)^2)/(x*ln(x)+30*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$7474$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
6858,1,105,23,0.382000," ","int(((2*x^6+10*x^5+20*x^4+20*x^3+10*x^2+2*x)*exp(1)^5+(-10*x^6-40*x^5-60*x^4-40*x^3-10*x^2)*exp(1)^4+(20*x^6+60*x^5+60*x^4+20*x^3)*exp(1)^3+(-20*x^6-40*x^5-20*x^4)*exp(1)^2+(10*x^6+10*x^5-6*x+14)*exp(1)-2*x^6+6*x-12)/((x^5+5*x^4+10*x^3+10*x^2+5*x+1)*exp(1)^5+(-5*x^5-20*x^4-30*x^3-20*x^2-5*x)*exp(1)^4+(10*x^5+30*x^4+30*x^3+10*x^2)*exp(1)^3+(-10*x^5-20*x^4-10*x^3)*exp(1)^2+(5*x^5+5*x^4)*exp(1)-x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{2 x -3}{x^{4} {\mathrm e}^{4}+4 x^{3} {\mathrm e}^{4}-4 x^{4} {\mathrm e}^{3}+6 x^{2} {\mathrm e}^{4}-12 x^{3} {\mathrm e}^{3}+6 x^{4} {\mathrm e}^{2}+4 x \,{\mathrm e}^{4}-12 x^{2} {\mathrm e}^{3}+12 x^{3} {\mathrm e}^{2}-4 x^{4} {\mathrm e}+{\mathrm e}^{4}-4 x \,{\mathrm e}^{3}+6 x^{2} {\mathrm e}^{2}-4 x^{3} {\mathrm e}+x^{4}}$&$105$\\ norman&$\frac{\left({\mathrm e}^{4}-4 \,{\mathrm e}^{3}+6 \,{\mathrm e}^{2}-4 \,{\mathrm e}+1\right) x^{6}+{\mathrm e}^{-2} \left({\mathrm e}^{6}+18 \,{\mathrm e}^{2}-36 \,{\mathrm e}+18\right) x^{2}+\left(6 \,{\mathrm e}^{8}-12 \,{\mathrm e}^{7}+6 \,{\mathrm e}^{6}+3+3 \,{\mathrm e}^{4}-12 \,{\mathrm e}^{3}+18 \,{\mathrm e}^{2}-12 \,{\mathrm e}\right) {\mathrm e}^{-4} x^{4}+2 \,{\mathrm e}^{-1} \left(7 \,{\mathrm e}-6\right) x +4 \left({\mathrm e}^{7}-{\mathrm e}^{6}+3 \,{\mathrm e}^{3}-9 \,{\mathrm e}^{2}+9 \,{\mathrm e}-3\right) {\mathrm e}^{-3} x^{3}+4 \,{\mathrm e} \left({\mathrm e}^{3}-3 \,{\mathrm e}^{2}+3 \,{\mathrm e}-1\right) x^{5}}{\left(x \,{\mathrm e}+{\mathrm e}-x \right)^{4}}$&$188$\\ default&$x^{2}+\frac{2 \left(\munderset{\textit{\_R} =\RootOf \left(\left({\mathrm e}^{5}-10 \,{\mathrm e}^{2}+5 \,{\mathrm e}-5 \,{\mathrm e}^{4}+10 \,{\mathrm e}^{3}-1\right) \textit{\_Z}^{5}+\left(5 \,{\mathrm e}^{5}-20 \,{\mathrm e}^{2}+5 \,{\mathrm e}-20 \,{\mathrm e}^{4}+30 \,{\mathrm e}^{3}\right) \textit{\_Z}^{4}+\left(10 \,{\mathrm e}^{5}-10 \,{\mathrm e}^{2}-30 \,{\mathrm e}^{4}+30 \,{\mathrm e}^{3}\right) \textit{\_Z}^{3}+\left(10 \,{\mathrm e}^{5}-20 \,{\mathrm e}^{4}+10 \,{\mathrm e}^{3}\right) \textit{\_Z}^{2}+\left(5 \,{\mathrm e}^{5}-5 \,{\mathrm e}^{4}\right) \textit{\_Z} +{\mathrm e}^{5}\right)}{\sum}\frac{\left(-6+3 \left(1-{\mathrm e}\right) \textit{\_R} +7 \,{\mathrm e}\right) \ln \left(x -\textit{\_R} \right)}{\textit{\_R}^{4} {\mathrm e}^{5}+4 \textit{\_R}^{3} {\mathrm e}^{5}-5 \textit{\_R}^{4} {\mathrm e}^{4}+6 \textit{\_R}^{2} {\mathrm e}^{5}-16 \textit{\_R}^{3} {\mathrm e}^{4}+10 \textit{\_R}^{4} {\mathrm e}^{3}+4 \textit{\_R} \,{\mathrm e}^{5}-18 \textit{\_R}^{2} {\mathrm e}^{4}+24 \textit{\_R}^{3} {\mathrm e}^{3}-10 \textit{\_R}^{4} {\mathrm e}^{2}+{\mathrm e}^{5}-8 \textit{\_R} \,{\mathrm e}^{4}+18 \textit{\_R}^{2} {\mathrm e}^{3}-16 \textit{\_R}^{3} {\mathrm e}^{2}+5 \textit{\_R}^{4} {\mathrm e}-{\mathrm e}^{4}+4 \textit{\_R} \,{\mathrm e}^{3}-6 \textit{\_R}^{2} {\mathrm e}^{2}+4 \textit{\_R}^{3} {\mathrm e}-\textit{\_R}^{4}}\right)}{5}$&$260$\\ gosper&$\frac{x \left(18 \,{\mathrm e}^{2} x +x \,{\mathrm e}^{8}+6 x^{3} {\mathrm e}^{6}+4 x^{2} {\mathrm e}^{8}+18 x \,{\mathrm e}^{4}+14 \,{\mathrm e}^{4}-12 \,{\mathrm e}^{3}+3 x^{3}+3 x^{3} {\mathrm e}^{4}+12 x^{2} {\mathrm e}^{4}-4 x^{5} {\mathrm e}^{5}+18 x^{3} {\mathrm e}^{2}+36 x^{2} {\mathrm e}^{2}-4 x^{4} {\mathrm e}^{5}-36 x \,{\mathrm e}^{3}-12 x^{2} {\mathrm e}-12 x^{3} {\mathrm e}-12 x^{3} {\mathrm e}^{3}-36 x^{2} {\mathrm e}^{3}+4 x^{4} {\mathrm e}^{8}+6 x^{3} {\mathrm e}^{8}-4 x^{2} {\mathrm e}^{7}+x^{5} {\mathrm e}^{4}+6 \,{\mathrm e}^{6} x^{5}+12 \,{\mathrm e}^{6} x^{4}+{\mathrm e}^{8} x^{5}-4 \,{\mathrm e}^{7} x^{5}-12 \,{\mathrm e}^{7} x^{4}-12 \,{\mathrm e}^{7} x^{3}\right) {\mathrm e}^{-4}}{x^{4} {\mathrm e}^{4}+4 x^{3} {\mathrm e}^{4}-4 x^{4} {\mathrm e}^{3}+6 x^{2} {\mathrm e}^{4}-12 x^{3} {\mathrm e}^{3}+6 x^{4} {\mathrm e}^{2}+4 x \,{\mathrm e}^{4}-12 x^{2} {\mathrm e}^{3}+12 x^{3} {\mathrm e}^{2}-4 x^{4} {\mathrm e}+{\mathrm e}^{4}-4 x \,{\mathrm e}^{3}+6 x^{2} {\mathrm e}^{2}-4 x^{3} {\mathrm e}+x^{4}}$&$362$\\ \hline \end{longtable}"," ",0,"x^2+(2*x-3)/(x^4*exp(4)+4*x^3*exp(4)-4*x^4*exp(3)+6*x^2*exp(4)-12*x^3*exp(3)+6*x^4*exp(2)+4*x*exp(4)-12*x^2*exp(3)+12*x^3*exp(2)-4*x^4*exp(1)+exp(4)-4*x*exp(3)+6*x^2*exp(2)-4*x^3*exp(1)+x^4)","B"
6859,1,22,27,0.059000," ","int(((17*x^2+2*x-4)*exp(x)+(-4*x^4+32*x^3-64*x^2)*exp(1))/(4*x^4-32*x^3+64*x^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{-\frac{17 x}{4}-\frac{1}{4}}{\left(x -4\right) x}+{\mathrm e}^{1-x}$&$22$\\ norman&$\frac{\left(x^{2} {\mathrm e}-\frac{17 \,{\mathrm e}^{x} x}{4}-4 x \,{\mathrm e}-\frac{{\mathrm e}^{x}}{4}\right) {\mathrm e}^{-x}}{x \left(x -4\right)}$&$35$\\ default&$\frac{1}{16 x}-\frac{69}{16 \left(x -4\right)}-16 \,{\mathrm e} \left(-\frac{{\mathrm e}^{-x}}{x -4}+{\mathrm e}^{-4} \expIntegralEi \left(1, x -4\right)\right)+8 \,{\mathrm e} \left(-\frac{4 \,{\mathrm e}^{-x}}{x -4}+3 \,{\mathrm e}^{-4} \expIntegralEi \left(1, x -4\right)\right)-{\mathrm e} \left(-{\mathrm e}^{-x}-\frac{16 \,{\mathrm e}^{-x}}{x -4}+8 \,{\mathrm e}^{-4} \expIntegralEi \left(1, x -4\right)\right)$&$94$\\ \hline \end{longtable}"," ",0,"(-17/4*x-1/4)/(x-4)/x+exp(1-x)","A"
6860,1,11,15,0.053000," ","int(exp(1/3*x/exp(2))/(3*exp(2)*exp(1/3*x/exp(2))+12*exp(2))/ln(exp(1/3*x/exp(2))+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left({\mathrm e}^{\frac{x \,{\mathrm e}^{-2}}{3}}+4\right)\right)$&$11$\\ derivativedivides&$\ln \left(\ln \left({\mathrm e}^{\frac{x \,{\mathrm e}^{-2}}{3}}+4\right)\right)$&$13$\\ default&$\ln \left(\ln \left({\mathrm e}^{\frac{x \,{\mathrm e}^{-2}}{3}}+4\right)\right)$&$13$\\ norman&$\ln \left(\ln \left({\mathrm e}^{\frac{x \,{\mathrm e}^{-2}}{3}}+4\right)\right)$&$13$\\ \hline \end{longtable}"," ",0,"ln(ln(exp(1/3*x*exp(-2))+4))","A"
6861,1,22,19,0.108000," ","int((40*x*ln(20)^2+2*(20*x^2+4*x)*ln(20)+10*x^3+6*x^2)/(100*ln(20)^2+2*(50*x+20)*ln(20)+25*x^2+20*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{2} \left(x +2 \ln \left(20\right)\right)}{10 \ln \left(20\right)+5 x +2}$&$22$\\ norman&$\frac{x^{3}+2 x^{2} \ln \left(20\right)}{10 \ln \left(20\right)+5 x +2}$&$24$\\ default&$-\frac{2 x}{25}+\frac{x^{2}}{5}-\frac{2 \left(\frac{4 \ln \left(20\right)^{2}}{5}+\frac{8 \ln \left(20\right)}{25}+\frac{4}{125}\right)}{10 \ln \left(20\right)+5 x +2}$&$35$\\ risch&$\frac{x^{2}}{5}-\frac{2 x}{25}-\frac{4 \ln \left(5\right)^{2}}{25 \left(2 \ln \left(2\right)+\ln \left(5\right)+\frac{x}{2}+\frac{1}{5}\right)}-\frac{16 \ln \left(2\right) \ln \left(5\right)}{25 \left(2 \ln \left(2\right)+\ln \left(5\right)+\frac{x}{2}+\frac{1}{5}\right)}-\frac{16 \ln \left(2\right)^{2}}{25 \left(2 \ln \left(2\right)+\ln \left(5\right)+\frac{x}{2}+\frac{1}{5}\right)}-\frac{16 \ln \left(2\right)}{125 \left(2 \ln \left(2\right)+\ln \left(5\right)+\frac{x}{2}+\frac{1}{5}\right)}-\frac{8 \ln \left(5\right)}{125 \left(2 \ln \left(2\right)+\ln \left(5\right)+\frac{x}{2}+\frac{1}{5}\right)}-\frac{4}{625 \left(2 \ln \left(2\right)+\ln \left(5\right)+\frac{x}{2}+\frac{1}{5}\right)}$&$116$\\ meijerg&$\frac{4 \left(40 \ln \left(20\right)+6\right) \left(5 \ln \left(20\right)+1\right)^{2} \left(\frac{5 x \left(\frac{15 x}{2 \left(5 \ln \left(20\right)+1\right)}+6\right)}{6 \left(5 \ln \left(20\right)+1\right) \left(1+\frac{5 x}{2 \left(5 \ln \left(20\right)+1\right)}\right)}-2 \ln \left(1+\frac{5 x}{2 \left(5 \ln \left(20\right)+1\right)}\right)\right)}{625 \left(2 \ln \left(20\right)+\frac{2}{5}\right)}+\frac{\left(40 \ln \left(20\right)^{2}+8 \ln \left(20\right)\right) \left(-\frac{5 x}{2 \left(5 \ln \left(20\right)+1\right) \left(1+\frac{5 x}{2 \left(5 \ln \left(20\right)+1\right)}\right)}+\ln \left(1+\frac{5 x}{2 \left(5 \ln \left(20\right)+1\right)}\right)\right)}{25}+\frac{16 \left(5 \ln \left(20\right)+1\right)^{3} \left(-\frac{5 x \left(-\frac{25 x^{2}}{2 \left(5 \ln \left(20\right)+1\right)^{2}}+\frac{15 x}{5 \ln \left(20\right)+1}+12\right)}{8 \left(5 \ln \left(20\right)+1\right) \left(1+\frac{5 x}{2 \left(5 \ln \left(20\right)+1\right)}\right)}+3 \ln \left(1+\frac{5 x}{2 \left(5 \ln \left(20\right)+1\right)}\right)\right)}{625 \left(2 \ln \left(20\right)+\frac{2}{5}\right)}$&$223$\\ \hline \end{longtable}"," ",0,"x^2*(x+2*ln(20))/(10*ln(20)+5*x+2)","A"
6862,1,46,32,0.069000," ","int((((-4*x*ln(2)^2*exp(x-1)^2+2*(3*x^2+2*x)*ln(2)*exp(x-1)-x^3-3*x)*ln(x)+4*(x^2+3*x)*ln(2)^2*exp(x-1)^2+2*(-3*x^3-11*x^2-6*x)*ln(2)*exp(x-1)+x^4+3*x^3+3*x^2+9*x)*ln(-ln(x)+3+x)+4*(x-1)*ln(2)^2*exp(x-1)^2+2*(-2*x^2+2*x)*ln(2)*exp(x-1)+x^3-x^2)/((4*x*ln(2)^2*exp(x-1)^2-4*x^2*ln(2)*exp(x-1)+x^3)*ln(x)+4*(-x^2-3*x)*ln(2)^2*exp(x-1)^2+2*(2*x^3+6*x^2)*ln(2)*exp(x-1)-x^4-3*x^3)/ln(-ln(x)+3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x \ln \left(2\right) {\mathrm e}^{x -1}-x^{2}+x +3}{2 \ln \left(2\right) {\mathrm e}^{x -1}-x}-\ln \left(\ln \left(-\ln \left(x \right)+3+x \right)\right)$&$46$\\ \hline \end{longtable}"," ",0,"-(2*x*ln(2)*exp(x-1)-x^2+x+3)/(2*ln(2)*exp(x-1)-x)-ln(ln(-ln(x)+3+x))","A"
6863,1,25,22,0.033000," ","int(1/24*(-24*x^2*ln(x)+(6*x^2-3)*exp(x^2)+4*x^3-24*x^2-9)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{3}{8}+\frac{x^{3}}{12}-x^{2} \ln \left(x \right)+\frac{{\mathrm e}^{x^{2}}}{8}}{x}$&$25$\\ risch&$-x \ln \left(x \right)+\frac{2 x^{3}+3 \,{\mathrm e}^{x^{2}}+9}{24 x}$&$25$\\ default&$\frac{x^{2}}{12}+\frac{3}{8 x}+\frac{{\mathrm e}^{x^{2}}}{8 x}-x \ln \left(x \right)$&$26$\\ \hline \end{longtable}"," ",0,"(3/8+1/12*x^3-x^2*ln(x)+1/8*exp(x^2))/x","A"
6864,1,60,19,0.038000," ","int((2*x*exp(2)^2*ln(2*x)^2+(16*x*exp(2)*ln(5)+6*x*exp(2)^2)*ln(2*x)+32*x*ln(5)^2+24*x*exp(2)*ln(5)+4*x*exp(2)^2)/exp(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(2 x \right)^{2}+2 \,{\mathrm e}^{-2} x^{2} \left({\mathrm e}^{2}+4 \ln \left(5\right)\right) \ln \left(2 x \right)+8 \,{\mathrm e}^{2} \ln \left(5\right) {\mathrm e}^{-4} x^{2}+16 \ln \left(5\right)^{2} {\mathrm e}^{-4} x^{2}+{\mathrm e}^{4} {\mathrm e}^{-4} x^{2}$&$60$\\ norman&$\left(x^{2} {\mathrm e}^{2} \ln \left(2 x \right)^{2}+\left(2 \,{\mathrm e}^{2}+8 \ln \left(5\right)\right) x^{2} \ln \left(2 x \right)+\left({\mathrm e}^{4}+8 \,{\mathrm e}^{2} \ln \left(5\right)+16 \ln \left(5\right)^{2}\right) {\mathrm e}^{-2} x^{2}\right) {\mathrm e}^{-2}$&$61$\\ default&${\mathrm e}^{-4} \left(2 \,{\mathrm e}^{4} x^{2} \ln \left(2 x \right)+x^{2} {\mathrm e}^{4}+8 \,{\mathrm e}^{2} \ln \left(5\right) x^{2} \ln \left(2 x \right)+8 \,{\mathrm e}^{2} \ln \left(5\right) x^{2}+16 x^{2} \ln \left(5\right)^{2}+{\mathrm e}^{4} x^{2} \ln \left(2 x \right)^{2}\right)$&$73$\\ derivativedivides&$\frac{{\mathrm e}^{-4} \left(4 \,{\mathrm e}^{4} x^{2} \ln \left(2 x \right)+2 x^{2} {\mathrm e}^{4}+16 \,{\mathrm e}^{2} \ln \left(5\right) x^{2} \ln \left(2 x \right)+16 \,{\mathrm e}^{2} \ln \left(5\right) x^{2}+2 \,{\mathrm e}^{4} x^{2} \ln \left(2 x \right)^{2}+32 x^{2} \ln \left(5\right)^{2}\right)}{2}$&$76$\\ \hline \end{longtable}"," ",0,"x^2*ln(2*x)^2+2*exp(-2)*x^2*(exp(2)+4*ln(5))*ln(2*x)+8*exp(2)*ln(5)*exp(-4)*x^2+16*ln(5)^2*exp(-4)*x^2+exp(4)*exp(-4)*x^2","B"
6865,1,13,12,0.015000," ","int(5*exp(x)*exp(exp(x))+2*x+6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+6 x +5 \,{\mathrm e}^{{\mathrm e}^{x}}$&$13$\\ norman&$x^{2}+6 x +5 \,{\mathrm e}^{{\mathrm e}^{x}}$&$13$\\ risch&$x^{2}+6 x +5 \,{\mathrm e}^{{\mathrm e}^{x}}$&$13$\\ \hline \end{longtable}"," ",0,"x^2+6*x+5*exp(exp(x))","A"
6866,1,19,18,0.166000," ","int((2*(-exp(3)-1)*ln(2)*exp(x)+2*(exp(3)+1)*ln(2))*exp((exp(3)+1)/(exp(x)-x+4))/(2*exp(x)^2+(-4*x+16)*exp(x)+2*x^2-16*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(2\right) {\mathrm e}^{\frac{{\mathrm e}^{3}+1}{{\mathrm e}^{x}-x +4}}$&$19$\\ norman&$\frac{x \ln \left(2\right) {\mathrm e}^{\frac{{\mathrm e}^{3}+1}{{\mathrm e}^{x}-x +4}}-4 \ln \left(2\right) {\mathrm e}^{\frac{{\mathrm e}^{3}+1}{{\mathrm e}^{x}-x +4}}-{\mathrm e}^{x} \ln \left(2\right) {\mathrm e}^{\frac{{\mathrm e}^{3}+1}{{\mathrm e}^{x}-x +4}}}{x -{\mathrm e}^{x}-4}$&$71$\\ \hline \end{longtable}"," ",0,"ln(2)*exp((exp(3)+1)/(exp(x)-x+4))","A"
6867,1,29,14,0.053000," ","int(2*exp(5+x)*exp(exp(5+x))^2+1/8*((4*x+48)*exp(5+x)+4)*exp(exp(5+x))+1/8*x+3/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 \,{\mathrm e}^{5+x}}+\frac{\left(4 x +48\right) {\mathrm e}^{{\mathrm e}^{5+x}}}{8}+\frac{x^{2}}{16}+\frac{3 x}{2}$&$29$\\ default&$\frac{3 x}{2}+\frac{x^{2}}{16}+\frac{x \,{\mathrm e}^{{\mathrm e}^{5+x}}}{2}+6 \,{\mathrm e}^{{\mathrm e}^{5+x}}+{\mathrm e}^{2 \,{\mathrm e}^{5+x}}$&$32$\\ norman&$\frac{3 x}{2}+\frac{x^{2}}{16}+\frac{x \,{\mathrm e}^{{\mathrm e}^{5+x}}}{2}+6 \,{\mathrm e}^{{\mathrm e}^{5+x}}+{\mathrm e}^{2 \,{\mathrm e}^{5+x}}$&$32$\\ \hline \end{longtable}"," ",0,"exp(2*exp(5+x))+1/8*(4*x+48)*exp(exp(5+x))+1/16*x^2+3/2*x","A"
6868,1,13,11,0.027000," ","int((-5*ln(ln(6))+10)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 \ln \left(\ln \left(6\right)\right)-10}{\ln \left(x \right)}$&$13$\\ derivativedivides&$-\frac{-5 \ln \left(\ln \left(6\right)\right)+10}{\ln \left(x \right)}$&$14$\\ default&$-\frac{-5 \ln \left(\ln \left(6\right)\right)+10}{\ln \left(x \right)}$&$14$\\ risch&$\frac{5 \ln \left(\ln \left(2\right)+\ln \left(3\right)\right)}{\ln \left(x \right)}-\frac{10}{\ln \left(x \right)}$&$20$\\ \hline \end{longtable}"," ",0,"(5*ln(ln(6))-10)/ln(x)","A"
6869,1,135,31,2.359000," ","int(((4*x*exp(5)^2*ln(5+x)+(-2*x^2-10*x)*exp(5))*ln(exp(ln(3)+x)/x)+(-2*x^2-8*x+10)*exp(5)^2*ln(5+x)^2+(2*x^3+10*x^2-2*x-10)*exp(5))/((x^2+5*x)*exp(5)^2*ln(5+x)^4+(-2*x^3-12*x^2-10*x)*exp(5)*ln(5+x)^2+x^4+7*x^3+11*x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \,{\mathrm e}^{5} \ln \left(3 \,{\mathrm e}^{x}\right)}{{\mathrm e}^{5} \ln \left(5+x \right)^{2}-x -1}+\frac{{\mathrm e}^{5} \left(i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3}+2 \ln \left(x \right)\right)}{{\mathrm e}^{5} \ln \left(5+x \right)^{2}-x -1}$&$135$\\ \hline \end{longtable}"," ",0,"-2*exp(5)/(exp(5)*ln(5+x)^2-x-1)*ln(3*exp(x))+exp(5)*(I*Pi*csgn(I/x)*csgn(I*exp(x))*csgn(I/x*exp(x))-I*Pi*csgn(I/x)*csgn(I/x*exp(x))^2-I*Pi*csgn(I*exp(x))*csgn(I/x*exp(x))^2+I*Pi*csgn(I/x*exp(x))^3+2*ln(x))/(exp(5)*ln(5+x)^2-x-1)","C"
6870,1,227,25,0.307000," ","int((((exp(2)-2*x^2-6*x)*ln(1/2*(-exp(2)+2*x^2+6*x)/x)-3*exp(2)+2*x^2+12*x)*ln(x)+(exp(2)-2*x^2-6*x)*ln(1/2*(-exp(2)+2*x^2+6*x)/x)+(-2*x-1)*exp(2)+4*x^3+14*x^2+6*x)/(exp(2)-2*x^2-6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right) x \ln \left({\mathrm e}^{2}-2 x^{2}-6 x \right)-x \ln \left(x \right)^{2}-\frac{i \ln \left(x \right) \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{2}-2 x^{2}-6 x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2}-2 x^{2}-6 x \right)}{x}\right)}{2}+\frac{i \ln \left(x \right) \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2}-2 x^{2}-6 x \right)}{x}\right)^{2}}{2}-i \ln \left(x \right) \pi  x \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2}-2 x^{2}-6 x \right)}{x}\right)^{2}+\frac{i \ln \left(x \right) \pi  x \,\mathrm{csgn}\left(i \left({\mathrm e}^{2}-2 x^{2}-6 x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2}-2 x^{2}-6 x \right)}{x}\right)^{2}}{2}+\frac{i \ln \left(x \right) \pi  x \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2}-2 x^{2}-6 x \right)}{x}\right)^{3}}{2}+i \pi  x \ln \left(x \right)-x \ln \left(2\right) \ln \left(x \right)-2 x \ln \left(x \right)-x^{2}+x$&$227$\\ \hline \end{longtable}"," ",0,"ln(x)*x*ln(exp(2)-2*x^2-6*x)-x*ln(x)^2-1/2*I*ln(x)*Pi*x*csgn(I/x)*csgn(I*(exp(2)-2*x^2-6*x))*csgn(I/x*(exp(2)-2*x^2-6*x))+1/2*I*ln(x)*Pi*x*csgn(I/x)*csgn(I/x*(exp(2)-2*x^2-6*x))^2-I*ln(x)*Pi*x*csgn(I/x*(exp(2)-2*x^2-6*x))^2+1/2*I*ln(x)*Pi*x*csgn(I*(exp(2)-2*x^2-6*x))*csgn(I/x*(exp(2)-2*x^2-6*x))^2+1/2*I*ln(x)*Pi*x*csgn(I/x*(exp(2)-2*x^2-6*x))^3+I*Pi*x*ln(x)-x*ln(2)*ln(x)-2*x*ln(x)-x^2+x","C"
6871,1,35,31,0.057000," ","int(((6*x^5+9*x^4-3*x^2)*exp(x)^2+(x^6-x^5-4*x^4-61*x^3-29*x^2+30*x)*exp(x)+20*x^3+140*x-75)/((x^4+2*x^3+x^2)*exp(x)^2+(-10*x^2-10*x)*exp(x)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x^{2}-3 x -\frac{\left(x -1\right) \left(x +1\right) x^{2}}{{\mathrm e}^{x} x^{2}+{\mathrm e}^{x} x -5}$&$35$\\ norman&$\frac{3 \,{\mathrm e}^{x} x +15 x -14 x^{2}-x^{4}+3 \,{\mathrm e}^{x} x^{4}-15}{{\mathrm e}^{x} x^{2}+{\mathrm e}^{x} x -5}$&$43$\\ \hline \end{longtable}"," ",0,"3*x^2-3*x-(x-1)*(x+1)*x^2/(exp(x)*x^2+exp(x)*x-5)","A"
6872,1,21,22,0.031000," ","int(1/10*((2*x^2-4*x)*ln(3)-x^2+4*x-10)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{4}{5}+\left(-\frac{\ln \left(3\right)}{5}+\frac{1}{10}\right) x^{2}-\frac{x}{5}\right) {\mathrm e}^{-x}$&$21$\\ risch&$\frac{\left(-2 x^{2} \ln \left(3\right)+x^{2}-2 x +8\right) {\mathrm e}^{-x}}{10}$&$22$\\ gosper&$-\frac{\left(2 x^{2} \ln \left(3\right)-x^{2}+2 x -8\right) {\mathrm e}^{-x}}{10}$&$24$\\ default&$\frac{4 \,{\mathrm e}^{-x}}{5}-\frac{x \,{\mathrm e}^{-x}}{5}+\frac{x^{2} {\mathrm e}^{-x}}{10}-\frac{{\mathrm e}^{-x} x^{2} \ln \left(3\right)}{5}$&$35$\\ meijerg&$-1+{\mathrm e}^{-x}+\frac{\left(2 \ln \left(3\right)-1\right) \left(2-\frac{\left(3 x^{2}+6 x +6\right) {\mathrm e}^{-x}}{3}\right)}{10}+\frac{\left(-4 \ln \left(3\right)+4\right) \left(1-\frac{\left(2 x +2\right) {\mathrm e}^{-x}}{2}\right)}{10}$&$54$\\ \hline \end{longtable}"," ",0,"(4/5+(-1/5*ln(3)+1/10)*x^2-1/5*x)/exp(x)","A"
6873,1,24,28,0.784000," ","int(((-36*x^2-18)*exp(x^2)-36*x+18)/(x^3*exp(x^2)^3+(-6*x^2*ln(2)+3*x^4-3*x^3-27*x^2)*exp(x^2)^2+(12*x*ln(2)^2+2*(-6*x^3+6*x^2+54*x)*ln(2)+3*x^5-6*x^4-51*x^3+54*x^2+243*x)*exp(x^2)-8*ln(2)^3+4*(3*x^2-3*x-27)*ln(2)^2+2*(-3*x^4+6*x^3+51*x^2-54*x-243)*ln(2)+x^6-3*x^5-24*x^4+53*x^3+216*x^2-243*x-729),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{9}{\left(-{\mathrm e}^{x^{2}} x -x^{2}+2 \ln \left(2\right)+x +9\right)^{2}}$&$24$\\ risch&$\frac{9}{\left(-{\mathrm e}^{x^{2}} x -x^{2}+2 \ln \left(2\right)+x +9\right)^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"9/(-exp(x^2)*x-x^2+2*ln(2)+x+9)^2","A"
6874,1,168,20,0.119000," ","int(((-4*ln(x)+4*exp(x-2)+9*x)*ln(-ln(x)+exp(x-2)+9/4*x)*ln(x*ln(-ln(x)+exp(x-2)+9/4*x))+(4*ln(x)-4*exp(x-2)-9*x)*ln(-ln(x)+exp(x-2)+9/4*x)-4*x*exp(x-2)-9*x+4)/(4*x^2*ln(x)-4*x^2*exp(x-2)-9*x^3)/ln(-ln(x)+exp(x-2)+9/4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(-\ln \left(x \right)+{\mathrm e}^{x -2}+\frac{9 x}{4}\right)\right)}{x}+\frac{-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(-\ln \left(x \right)+{\mathrm e}^{x -2}+\frac{9 x}{4}\right)\right) \mathrm{csgn}\left(i x \ln \left(-\ln \left(x \right)+{\mathrm e}^{x -2}+\frac{9 x}{4}\right)\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(-\ln \left(x \right)+{\mathrm e}^{x -2}+\frac{9 x}{4}\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \ln \left(-\ln \left(x \right)+{\mathrm e}^{x -2}+\frac{9 x}{4}\right)\right) \mathrm{csgn}\left(i x \ln \left(-\ln \left(x \right)+{\mathrm e}^{x -2}+\frac{9 x}{4}\right)\right)^{2}-i \pi  \mathrm{csgn}\left(i x \ln \left(-\ln \left(x \right)+{\mathrm e}^{x -2}+\frac{9 x}{4}\right)\right)^{3}+2 \ln \left(x \right)}{2 x}$&$168$\\ \hline \end{longtable}"," ",0,"1/x*ln(ln(-ln(x)+exp(x-2)+9/4*x))+1/2*(-I*Pi*csgn(I*x)*csgn(I*ln(-ln(x)+exp(x-2)+9/4*x))*csgn(I*x*ln(-ln(x)+exp(x-2)+9/4*x))+I*Pi*csgn(I*x)*csgn(I*x*ln(-ln(x)+exp(x-2)+9/4*x))^2+I*Pi*csgn(I*ln(-ln(x)+exp(x-2)+9/4*x))*csgn(I*x*ln(-ln(x)+exp(x-2)+9/4*x))^2-I*Pi*csgn(I*x*ln(-ln(x)+exp(x-2)+9/4*x))^3+2*ln(x))/x","C"
6875,1,18,19,0.092000," ","int(30*exp(exp(2))*exp(exp(exp(2))*ln(-exp(6)-3/2*x+3))^2/(2*exp(6)+3*x-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \left(-{\mathrm e}^{6}-\frac{3 x}{2}+3\right)^{2 \,{\mathrm e}^{{\mathrm e}^{2}}}$&$18$\\ gosper&$5 \,{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{2}} \ln \left(-{\mathrm e}^{6}-\frac{3 x}{2}+3\right)}$&$20$\\ norman&$5 \,{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{2}} \ln \left(-{\mathrm e}^{6}-\frac{3 x}{2}+3\right)}$&$20$\\ \hline \end{longtable}"," ",0,"5*((-exp(6)-3/2*x+3)^exp(exp(2)))^2","A"
6876,0,0,31,180.000000," ","int((x*ln(x)*ln(3*x)*ln(ln(3*x)/ln(x))^2+((-2*x^3+4)*ln(x)-2)*ln(3*x)*ln(ln(3*x)/ln(x))+((2*x^2*ln(x)+1)*ln(3*x)-ln(x))*ln(x^4/ln(x)^2)+((x^5-4*x^2)*ln(x)+2*x^2)*ln(3*x))*exp((x*ln(ln(3*x)/ln(x))+ln(x^4/ln(x)^2)-x^3)/(ln(ln(3*x)/ln(x))-x^2))/(x*ln(x)*ln(3*x)*ln(ln(3*x)/ln(x))^2-2*x^3*ln(x)*ln(3*x)*ln(ln(3*x)/ln(x))+x^5*ln(x)*ln(3*x)),x)","\[\int \frac{\left(x \ln \left(x \right) \ln \left(3 x \right) \ln \left(\frac{\ln \left(3 x \right)}{\ln \left(x \right)}\right)^{2}+\left(\left(-2 x^{3}+4\right) \ln \left(x \right)-2\right) \ln \left(3 x \right) \ln \left(\frac{\ln \left(3 x \right)}{\ln \left(x \right)}\right)+\left(\left(2 x^{2} \ln \left(x \right)+1\right) \ln \left(3 x \right)-\ln \left(x \right)\right) \ln \left(\frac{x^{4}}{\ln \left(x \right)^{2}}\right)+\left(\left(x^{5}-4 x^{2}\right) \ln \left(x \right)+2 x^{2}\right) \ln \left(3 x \right)\right) {\mathrm e}^{\frac{x \ln \left(\frac{\ln \left(3 x \right)}{\ln \left(x \right)}\right)+\ln \left(\frac{x^{4}}{\ln \left(x \right)^{2}}\right)-x^{3}}{\ln \left(\frac{\ln \left(3 x \right)}{\ln \left(x \right)}\right)-x^{2}}}}{x \ln \left(x \right) \ln \left(3 x \right) \ln \left(\frac{\ln \left(3 x \right)}{\ln \left(x \right)}\right)^{2}-2 x^{3} \ln \left(x \right) \ln \left(3 x \right) \ln \left(\frac{\ln \left(3 x \right)}{\ln \left(x \right)}\right)+x^{5} \ln \left(x \right) \ln \left(3 x \right)}\, dx\]"," ",0,"int((x*ln(x)*ln(3*x)*ln(ln(3*x)/ln(x))^2+((-2*x^3+4)*ln(x)-2)*ln(3*x)*ln(ln(3*x)/ln(x))+((2*x^2*ln(x)+1)*ln(3*x)-ln(x))*ln(x^4/ln(x)^2)+((x^5-4*x^2)*ln(x)+2*x^2)*ln(3*x))*exp((x*ln(ln(3*x)/ln(x))+ln(x^4/ln(x)^2)-x^3)/(ln(ln(3*x)/ln(x))-x^2))/(x*ln(x)*ln(3*x)*ln(ln(3*x)/ln(x))^2-2*x^3*ln(x)*ln(3*x)*ln(ln(3*x)/ln(x))+x^5*ln(x)*ln(3*x)),x)","F"
6877,1,2157,33,0.400000," ","int((((2*x^2-5*x-3)*exp(x)^3+(-10*x^3+25*x^2+15*x)*exp(x)^2)*ln(((x-3)*exp(x)-5*x^2+15*x)/x)^2+((-4*x^3+10*x^2+6*x+6)*exp(x)^3+(20*x^4-40*x^3-70*x^2)*exp(x)^2)*ln(((x-3)*exp(x)-5*x^2+15*x)/x)+(2*x^4-5*x^3-3*x^2-6*x)*exp(x)^3+(-10*x^5+15*x^4+55*x^3)*exp(x)^2+(20*x-60)*exp(x)-100*x^2+300*x)/((20*x-60)*exp(x)-100*x^2+300*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2157$\\ \hline \end{longtable}"," ",0,"x+1/20*exp(2*x)*x^3-1/20*Pi^2*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^5*exp(2*x)+1/10*Pi^2*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)-1/10*I*Pi*x^2*exp(2*x)-1/80*Pi^2*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^6*exp(2*x)-1/10*ln(5)*x*exp(2*x)*ln(x)+1/20*Pi^2*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^3*exp(2*x)-1/20*Pi^2*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^4*exp(2*x)+1/20*I*Pi*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)*ln(x)+1/20*I*Pi*ln(5)*x*csgn(I/x)*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)-1/20*I*Pi*x*csgn(I/x)*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)*ln(x)+1/20*Pi^2*x*csgn(I/x)*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^4*exp(2*x)+1/20*I*Pi*x^2*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^3*exp(2*x)-1/80*Pi^2*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))^2*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^4*exp(2*x)+(-1/10*x*exp(2*x)*ln(x)-1/20*I*Pi*x*csgn(I/x)*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)*exp(2*x)+1/20*I*Pi*x*csgn(I/x)*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)-1/10*I*Pi*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)-1/20*I*Pi*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)-1/20*I*Pi*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^3*exp(2*x)+1/10*I*Pi*x*exp(2*x)+1/10*x*ln(5)*exp(2*x)-1/10*exp(2*x)*x^2)*ln(x^2+(-1/5*exp(x)-3)*x+3/5*exp(x))-1/10*I*Pi*x*exp(2*x)*ln(x)-1/20*Pi^2*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^4*exp(2*x)-1/20*Pi^2*x*csgn(I/x)*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^3*exp(2*x)+1/20*I*Pi*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^3*exp(2*x)*ln(x)-1/20*I*Pi*ln(5)*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^3*exp(2*x)+1/20*Pi^2*x*csgn(I/x)*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)*exp(2*x)-1/80*Pi^2*x*csgn(I/x)^2*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))^2*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)+1/20*x*exp(2*x)*ln(x^2+(-1/5*exp(x)-3)*x+3/5*exp(x))^2-1/20*Pi^2*x*exp(2*x)+1/20*ln(5)^2*x*exp(2*x)+1/20*x*exp(2*x)*ln(x)^2+1/10*x^2*exp(2*x)*ln(x)-1/10*x^2*ln(5)*exp(2*x)+1/10*I*Pi*ln(5)*x*exp(2*x)-1/40*Pi^2*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^5*exp(2*x)+1/20*Pi^2*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)+1/10*I*Pi*x^2*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)-1/20*I*Pi*x^2*csgn(I/x)*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)-1/40*Pi^2*x*csgn(I/x)*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))^2*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^3*exp(2*x)-1/20*Pi^2*x*csgn(I/x)*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)-1/80*Pi^2*x*csgn(I/x)^2*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^4*exp(2*x)+1/20*I*Pi*x*csgn(I/x)*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)*exp(2*x)*ln(x)-1/20*I*Pi*ln(5)*x*csgn(I/x)*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)*exp(2*x)+1/40*Pi^2*x*csgn(I/x)*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^5*exp(2*x)+1/20*I*Pi*x^2*csgn(I/x)*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)*exp(2*x)-1/20*I*Pi*ln(5)*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)+1/40*Pi^2*x*csgn(I/x)^2*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^3*exp(2*x)+1/20*I*Pi*x^2*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x)))*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)+1/10*I*Pi*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)*ln(x)-1/10*I*Pi*ln(5)*x*csgn(I*(-x^2-(-1/5*exp(x)-3)*x-3/5*exp(x))/x)^2*exp(2*x)","C"
6878,1,17,18,0.133000," ","int((32*ln(5)^2-16*x*ln(5)-4*exp(4)+2*x^2)/(16*ln(5)^2-8*x*ln(5)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\frac{4 \,{\mathrm e}^{4}}{x -4 \ln \left(5\right)}$&$17$\\ risch&$2 x -\frac{{\mathrm e}^{4}}{\ln \left(5\right)-\frac{x}{4}}$&$17$\\ norman&$\frac{-2 x^{2}+32 \ln \left(5\right)^{2}-4 \,{\mathrm e}^{4}}{4 \ln \left(5\right)-x}$&$28$\\ gosper&$\frac{-2 x^{2}+32 \ln \left(5\right)^{2}-4 \,{\mathrm e}^{4}}{4 \ln \left(5\right)-x}$&$29$\\ meijerg&$\frac{2 x}{1-\frac{x}{4 \ln \left(5\right)}}-16 \ln \left(5\right) \left(\frac{x}{4 \left(1-\frac{x}{4 \ln \left(5\right)}\right) \ln \left(5\right)}+\ln \left(1-\frac{x}{4 \ln \left(5\right)}\right)\right)-\frac{{\mathrm e}^{4} x}{4 \ln \left(5\right)^{2} \left(1-\frac{x}{4 \ln \left(5\right)}\right)}-8 \ln \left(5\right) \left(-\frac{x \left(-\frac{3 x}{4 \ln \left(5\right)}+6\right)}{12 \ln \left(5\right) \left(1-\frac{x}{4 \ln \left(5\right)}\right)}-2 \ln \left(1-\frac{x}{4 \ln \left(5\right)}\right)\right)$&$113$\\ \hline \end{longtable}"," ",0,"2*x+4*exp(4)/(x-4*ln(5))","A"
6879,1,19,12,0.016000," ","int(512*exp(x)^2+(-192*x-192)*exp(x)+72*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -192 \,{\mathrm e}^{x} x +36 x^{2}+256 \,{\mathrm e}^{2 x}$&$19$\\ norman&$x -192 \,{\mathrm e}^{x} x +36 x^{2}+256 \,{\mathrm e}^{2 x}$&$19$\\ risch&$x -192 \,{\mathrm e}^{x} x +36 x^{2}+256 \,{\mathrm e}^{2 x}$&$19$\\ \hline \end{longtable}"," ",0,"x-192*exp(x)*x+36*x^2+256*exp(x)^2","A"
6880,1,24,20,0.037000," ","int(((2*x*exp(3)-2*x*exp(1)+2*x^2-12*x+1)*exp(5)-4*x)*exp(x^2)/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{8}-{\mathrm e}^{6}+x \,{\mathrm e}^{5}-6 \,{\mathrm e}^{5}-2\right) {\mathrm e}^{x^{2}-5}$&$24$\\ gosper&$-{\mathrm e}^{x^{2}} \left(-x \,{\mathrm e}^{5}+{\mathrm e} \,{\mathrm e}^{5}-{\mathrm e}^{3} {\mathrm e}^{5}+6 \,{\mathrm e}^{5}+2\right) {\mathrm e}^{-5}$&$33$\\ norman&${\mathrm e}^{x^{2}} x -\left({\mathrm e} \,{\mathrm e}^{5}-{\mathrm e}^{3} {\mathrm e}^{5}+6 \,{\mathrm e}^{5}+2\right) {\mathrm e}^{-5} {\mathrm e}^{x^{2}}$&$35$\\ meijerg&$\frac{\sqrt{\pi}\, \erfi \left(x \right)}{2}-\frac{{\mathrm e}^{-5} \left(-2 \,{\mathrm e}^{6}+2 \,{\mathrm e}^{8}-12 \,{\mathrm e}^{5}-4\right) \left(1-{\mathrm e}^{x^{2}}\right)}{2}+i \left(-i x \,{\mathrm e}^{x^{2}}+\frac{i \sqrt{\pi}\, \erfi \left(x \right)}{2}\right)$&$55$\\ default&${\mathrm e}^{-5} \left(\frac{{\mathrm e}^{5} \sqrt{\pi}\, \erfi \left(x \right)}{2}-2 \,{\mathrm e}^{x^{2}}+2 \,{\mathrm e}^{5} \left(\frac{{\mathrm e}^{x^{2}} x}{2}-\frac{\sqrt{\pi}\, \erfi \left(x \right)}{4}\right)-6 \,{\mathrm e}^{5} {\mathrm e}^{x^{2}}-{\mathrm e} \,{\mathrm e}^{5} {\mathrm e}^{x^{2}}+{\mathrm e}^{3} {\mathrm e}^{5} {\mathrm e}^{x^{2}}\right)$&$68$\\ \hline \end{longtable}"," ",0,"(exp(8)-exp(6)+x*exp(5)-6*exp(5)-2)*exp(x^2-5)","A"
6881,1,19,20,0.066000," ","int(((16*x+3)*ln(5)^3+(384*x^2+840*x+144)*ln(5)^2+(3072*x^3+12864*x^2+14592*x+2304)*ln(5)+8192*x^4+50688*x^3+107520*x^2+83968*x+11264)/(8*ln(5)^3+(192*x+384)*ln(5)^2+(1536*x^2+6144*x+6144)*ln(5)+4096*x^3+24576*x^2+49152*x+32768),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+\frac{3 x}{8}+\frac{8}{\left(\ln \left(5\right)+8 x +16\right)^{2}}$&$19$\\ risch&$x^{2}+\frac{3 x}{8}+\frac{8}{\ln \left(5\right)^{2}+16 x \ln \left(5\right)+64 x^{2}+32 \ln \left(5\right)+256 x +256}$&$35$\\ norman&$\frac{\left(16 \ln \left(5\right)+280\right) x^{3}+\left(-\frac{\ln \left(5\right)^{3}}{4}-\frac{105 \ln \left(5\right)^{2}}{8}-1312-228 \ln \left(5\right)\right) x +64 x^{4}-\frac{\ln \left(5\right)^{4}}{64}-\frac{35 \ln \left(5\right)^{3}}{32}-\frac{57 \ln \left(5\right)^{2}}{2}-328 \ln \left(5\right)-1400}{\left(\ln \left(5\right)+8 x +16\right)^{2}}$&$70$\\ gosper&$-\frac{\ln \left(5\right)^{4}+16 \ln \left(5\right)^{3} x -1024 x^{3} \ln \left(5\right)-4096 x^{4}+70 \ln \left(5\right)^{3}+840 x \ln \left(5\right)^{2}-17920 x^{3}+1824 \ln \left(5\right)^{2}+14592 x \ln \left(5\right)+20992 \ln \left(5\right)+83968 x +89600}{64 \left(\ln \left(5\right)^{2}+16 x \ln \left(5\right)+64 x^{2}+32 \ln \left(5\right)+256 x +256\right)}$&$89$\\ \hline \end{longtable}"," ",0,"x^2+3/8*x+8/(ln(5)+8*x+16)^2","A"
6882,1,3066,18,0.271000," ","int(((-48*x^5+4*x^3)*ln(x^3)^4+12*x^3*ln(x^3)^3)/exp(3*x^2)^8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$3066$\\ \hline \end{longtable}"," ",0,"81*x^4*exp(-24*x^2)*ln(x)^4-54*I*Pi*(csgn(I*x^2)*csgn(I*x)^2-2*csgn(I*x)*csgn(I*x^2)^2+csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-csgn(I*x)*csgn(I*x^3)^2+csgn(I*x^2)^3-csgn(I*x^2)*csgn(I*x^3)^2+csgn(I*x^3)^3)*x^4*exp(-24*x^2)*ln(x)^3-27/2*Pi^2*(csgn(I*x)^4*csgn(I*x^2)^2-4*csgn(I*x)^3*csgn(I*x^2)^3+2*csgn(I*x)^3*csgn(I*x^2)^2*csgn(I*x^3)-2*csgn(I*x)^3*csgn(I*x^2)*csgn(I*x^3)^2+6*csgn(I*x)^2*csgn(I*x^2)^4-4*csgn(I*x)^2*csgn(I*x^2)^3*csgn(I*x^3)+3*csgn(I*x)^2*csgn(I*x^2)^2*csgn(I*x^3)^2+csgn(I*x)^2*csgn(I*x^3)^4-4*csgn(I*x)*csgn(I*x^2)^5+2*csgn(I*x^2)^4*csgn(I*x)*csgn(I*x^3)+2*csgn(I*x)*csgn(I*x^2)^3*csgn(I*x^3)^2-6*csgn(I*x)*csgn(I*x^2)^2*csgn(I*x^3)^3+4*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)^4-2*csgn(I*x)*csgn(I*x^3)^5+csgn(I*x^2)^6-2*csgn(I*x^2)^4*csgn(I*x^3)^2+2*csgn(I*x^2)^3*csgn(I*x^3)^3+csgn(I*x^2)^2*csgn(I*x^3)^4-2*csgn(I*x^2)*csgn(I*x^3)^5+csgn(I*x^3)^6)*x^4*exp(-24*x^2)*ln(x)^2+3/2*I*Pi^3*(3*csgn(I*x)^5*csgn(I*x^2)^3*csgn(I*x^3)-3*csgn(I*x)^5*csgn(I*x^2)^2*csgn(I*x^3)^2-12*csgn(I*x)^4*csgn(I*x^2)^4*csgn(I*x^3)+12*csgn(I*x)^4*csgn(I*x^2)^3*csgn(I*x^3)^2-3*csgn(I*x)^4*csgn(I*x^2)^2*csgn(I*x^3)^3+3*csgn(I*x)^4*csgn(I*x^2)*csgn(I*x^3)^4+18*csgn(I*x)^3*csgn(I*x^2)^5*csgn(I*x^3)-12*csgn(I*x)^3*csgn(I*x^2)^4*csgn(I*x^3)^2-5*csgn(I*x)^3*csgn(I*x^2)^3*csgn(I*x^3)^3+3*csgn(I*x)^3*csgn(I*x^2)^2*csgn(I*x^3)^4-3*csgn(I*x)^3*csgn(I*x^2)*csgn(I*x^3)^5-12*csgn(I*x)^2*csgn(I*x^2)^6*csgn(I*x^3)-3*csgn(I*x)^2*csgn(I*x^2)^5*csgn(I*x^3)^2+24*csgn(I*x)^2*csgn(I*x^2)^4*csgn(I*x^3)^3-21*csgn(I*x)^2*csgn(I*x^2)^3*csgn(I*x^3)^4+15*csgn(I*x)^2*csgn(I*x^2)^2*csgn(I*x^3)^5-6*csgn(I*x)^2*csgn(I*x^2)*csgn(I*x^3)^6+3*csgn(I*x)*csgn(I*x^2)^7*csgn(I*x^3)+9*csgn(I*x)*csgn(I*x^2)^6*csgn(I*x^3)^2-18*csgn(I*x)*csgn(I*x^2)^5*csgn(I*x^3)^3+6*csgn(I*x)*csgn(I*x^2)^4*csgn(I*x^3)^4+9*csgn(I*x)*csgn(I*x^2)^3*csgn(I*x^3)^5-15*csgn(I*x)*csgn(I*x^2)^2*csgn(I*x^3)^6+9*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)^7+csgn(I*x)^6*csgn(I*x^2)^3-6*csgn(I*x)^5*csgn(I*x^2)^4+15*csgn(I*x)^4*csgn(I*x^2)^5-20*csgn(I*x)^3*csgn(I*x^2)^6-csgn(I*x)^3*csgn(I*x^3)^6+15*csgn(I*x)^2*csgn(I*x^2)^7+3*csgn(I*x)^2*csgn(I*x^3)^7-6*csgn(I*x)*csgn(I*x^2)^8-3*csgn(I*x)*csgn(I*x^3)^8-3*csgn(I*x^2)^7*csgn(I*x^3)^2+3*csgn(I*x^2)^6*csgn(I*x^3)^3+3*csgn(I*x^2)^5*csgn(I*x^3)^4-6*csgn(I*x^2)^4*csgn(I*x^3)^5+2*csgn(I*x^2)^3*csgn(I*x^3)^6+3*csgn(I*x^2)^2*csgn(I*x^3)^7-3*csgn(I*x^2)*csgn(I*x^3)^8+csgn(I*x^2)^9+csgn(I*x^3)^9)*x^4*exp(-24*x^2)*ln(x)+1/16*Pi^4*(-41*csgn(I*x)^4*csgn(I*x^2)^4*csgn(I*x^3)^4+44*csgn(I*x)^4*csgn(I*x^2)^3*csgn(I*x^3)^5-16*csgn(I*x)^4*csgn(I*x^2)^2*csgn(I*x^3)^6+8*csgn(I*x)^4*csgn(I*x^2)*csgn(I*x^3)^7+60*csgn(I*x)^3*csgn(I*x^2)^8*csgn(I*x^3)-4*csgn(I*x)^3*csgn(I*x^2)^7*csgn(I*x^3)^2-100*csgn(I*x)^3*csgn(I*x^2)^6*csgn(I*x^3)^3+108*csgn(I*x)^3*csgn(I*x^2)^5*csgn(I*x^3)^4-76*csgn(I*x)^3*csgn(I*x^2)^4*csgn(I*x^3)^5+24*csgn(I*x)^3*csgn(I*x^2)^3*csgn(I*x^3)^6-12*csgn(I*x)^3*csgn(I*x^2)^2*csgn(I*x^3)^7+4*csgn(I*x)^3*csgn(I*x^2)*csgn(I*x^3)^8-24*csgn(I*x)^2*csgn(I*x^2)^9*csgn(I*x^3)-30*csgn(I*x)^2*csgn(I*x^2)^8*csgn(I*x^3)^2+96*csgn(I*x)^2*csgn(I*x^2)^7*csgn(I*x^3)^3-66*csgn(I*x)^2*csgn(I*x^2)^6*csgn(I*x^3)^4-12*csgn(I*x)^2*csgn(I*x^2)^5*csgn(I*x^3)^5+74*csgn(I*x)^2*csgn(I*x^2)^4*csgn(I*x^3)^6-72*csgn(I*x)^2*csgn(I*x^2)^3*csgn(I*x^3)^7+48*csgn(I*x)^2*csgn(I*x^2)^2*csgn(I*x^3)^8-20*csgn(I*x)^2*csgn(I*x^2)*csgn(I*x^3)^9+4*csgn(I*x)*csgn(I*x^2)^10*csgn(I*x^3)+20*csgn(I*x)*csgn(I*x^2)^9*csgn(I*x^3)^2-36*csgn(I*x)*csgn(I*x^2)^8*csgn(I*x^3)^3+48*csgn(I*x)*csgn(I*x^2)^6*csgn(I*x^3)^5-52*csgn(I*x)*csgn(I*x^2)^5*csgn(I*x^3)^6+8*csgn(I*x)*csgn(I*x^2)^4*csgn(I*x^3)^7+28*csgn(I*x)*csgn(I*x^2)^3*csgn(I*x^3)^8-32*csgn(I*x)*csgn(I*x^2)^2*csgn(I*x^3)^9+16*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)^10+4*csgn(I*x)^7*csgn(I*x^2)^4*csgn(I*x^3)-4*csgn(I*x)^7*csgn(I*x^2)^3*csgn(I*x^3)^2-24*csgn(I*x)^6*csgn(I*x^2)^5*csgn(I*x^3)+26*csgn(I*x)^6*csgn(I*x^2)^4*csgn(I*x^3)^2-8*csgn(I*x)^6*csgn(I*x^2)^3*csgn(I*x^3)^3+6*csgn(I*x)^6*csgn(I*x^2)^2*csgn(I*x^3)^4+60*csgn(I*x)^5*csgn(I*x^2)^6*csgn(I*x^3)-60*csgn(I*x)^5*csgn(I*x^2)^5*csgn(I*x^3)^2+16*csgn(I*x)^5*csgn(I*x^2)^4*csgn(I*x^3)^3-12*csgn(I*x)^5*csgn(I*x^2)^3*csgn(I*x^3)^4-4*csgn(I*x)^5*csgn(I*x^2)*csgn(I*x^3)^6-80*csgn(I*x)^4*csgn(I*x^2)^7*csgn(I*x^3)+56*csgn(I*x)^4*csgn(I*x^2)^6*csgn(I*x^3)^2+28*csgn(I*x)^4*csgn(I*x^2)^5*csgn(I*x^3)^3+csgn(I*x)^8*csgn(I*x^2)^4-8*csgn(I*x)^7*csgn(I*x^2)^5+28*csgn(I*x)^6*csgn(I*x^2)^6-56*csgn(I*x)^5*csgn(I*x^2)^7+70*csgn(I*x)^4*csgn(I*x^2)^8+csgn(I*x)^4*csgn(I*x^3)^8-56*csgn(I*x)^3*csgn(I*x^2)^9-4*csgn(I*x)^3*csgn(I*x^3)^9+28*csgn(I*x)^2*csgn(I*x^2)^10+6*csgn(I*x)^2*csgn(I*x^3)^10-8*csgn(I*x)*csgn(I*x^2)^11-4*csgn(I*x)*csgn(I*x^3)^11-4*csgn(I*x^2)^10*csgn(I*x^3)^2+4*csgn(I*x^2)^9*csgn(I*x^3)^3+6*csgn(I*x^2)^8*csgn(I*x^3)^4-12*csgn(I*x^2)^7*csgn(I*x^3)^5+2*csgn(I*x^2)^6*csgn(I*x^3)^6+12*csgn(I*x^2)^5*csgn(I*x^3)^7-11*csgn(I*x^2)^4*csgn(I*x^3)^8+6*csgn(I*x^2)^2*csgn(I*x^3)^10-4*csgn(I*x^2)*csgn(I*x^3)^11+csgn(I*x^2)^12+csgn(I*x^3)^12)*x^4*exp(-24*x^2)","C"
6883,1,29,33,0.018000," ","int(((48*x^4-16*x^3-31*x^2-16)*ln(x)-16*x^4+8*x^3+31*x^2-7*x-16)/x^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16 x^{4}-8 x^{3}-31 x^{2}+7 x +16}{x \ln \left(x \right)}$&$29$\\ risch&$\frac{16 x^{4}-8 x^{3}-31 x^{2}+7 x +16}{x \ln \left(x \right)}$&$29$\\ default&$\frac{16 x^{3}}{\ln \left(x \right)}-\frac{8 x^{2}}{\ln \left(x \right)}-\frac{31 x}{\ln \left(x \right)}+\frac{7}{\ln \left(x \right)}+\frac{16}{x \ln \left(x \right)}$&$42$\\ \hline \end{longtable}"," ",0,"(16*x^4-8*x^3-31*x^2+7*x+16)/x/ln(x)","A"
6884,1,84,24,0.031000," ","int(1/3*((-6*x^5+30*x^4+44*x^3-180*x^2-200*x)*ln(x)^3+(-12*x^5+60*x^4+88*x^3-360*x^2-400*x)*ln(x)^2+(-4*x^5+18*x^4+22*x^3-60*x^2)*ln(x)+2*x^5-12*x^4-22*x^3+120*x^2+200*x)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{6}}{3}+2 x^{5}+\frac{11 x^{4}}{3}-20 x^{3}-\frac{100 x^{2}}{3}-\frac{x^{2} \left(2 x^{4} \ln \left(x \right)+x^{4}-12 x^{3} \ln \left(x \right)-6 x^{3}-22 x^{2} \ln \left(x \right)-11 x^{2}+120 x \ln \left(x \right)+60 x +200 \ln \left(x \right)+100\right)}{3 \ln \left(x \right)^{2}}$&$84$\\ norman&$\frac{-\frac{100 x^{2}}{3}-20 x^{3}+\frac{11 x^{4}}{3}+2 x^{5}-\frac{x^{6}}{3}-\frac{200 x^{2} \ln \left(x \right)}{3}-\frac{100 x^{2} \ln \left(x \right)^{2}}{3}-40 x^{3} \ln \left(x \right)-20 x^{3} \ln \left(x \right)^{2}+\frac{22 x^{4} \ln \left(x \right)}{3}+\frac{11 x^{4} \ln \left(x \right)^{2}}{3}+4 x^{5} \ln \left(x \right)+2 x^{5} \ln \left(x \right)^{2}-\frac{2 x^{6} \ln \left(x \right)}{3}-\frac{x^{6} \ln \left(x \right)^{2}}{3}}{\ln \left(x \right)^{2}}$&$112$\\ default&$-\frac{200 x^{2}}{3 \ln \left(x \right)}-\frac{x^{6}}{3}+2 x^{5}+\frac{11 x^{4}}{3}-20 x^{3}-\frac{100 x^{2}}{3}-\frac{100 x^{2}}{3 \ln \left(x \right)^{2}}+\frac{22 x^{4}}{3 \ln \left(x \right)}-\frac{40 x^{3}}{\ln \left(x \right)}+\frac{11 x^{4}}{3 \ln \left(x \right)^{2}}-\frac{20 x^{3}}{\ln \left(x \right)^{2}}+\frac{4 x^{5}}{\ln \left(x \right)}+\frac{2 x^{5}}{\ln \left(x \right)^{2}}-\frac{2 x^{6}}{3 \ln \left(x \right)}-\frac{x^{6}}{3 \ln \left(x \right)^{2}}$&$117$\\ \hline \end{longtable}"," ",0,"-1/3*x^6+2*x^5+11/3*x^4-20*x^3-100/3*x^2-1/3*x^2*(2*x^4*ln(x)+x^4-12*x^3*ln(x)-6*x^3-22*x^2*ln(x)-11*x^2+120*x*ln(x)+60*x+200*ln(x)+100)/ln(x)^2","B"
6885,1,52,42,0.058000," ","int((((100*x^2-50*x+50)*ln(x)-25)*exp(ln(x)+x^2-x-2)^2+((100*x^3+350*x^2-100*x+200)*ln(x)-50*x-200)*exp(ln(x)+x^2-x-2)+(50*x^2+200*x)*ln(x)-25*x^2-200*x+2100)*exp(-25*ln(x)/(exp(ln(x)+x^2-x-2)^2+(2*x+8)*exp(ln(x)+x^2-x-2)+x^2+8*x-84))/(x*exp(ln(x)+x^2-x-2)^4+(4*x^2+16*x)*exp(ln(x)+x^2-x-2)^3+(6*x^3+48*x^2-104*x)*exp(ln(x)+x^2-x-2)^2+(4*x^4+48*x^3-208*x^2-1344*x)*exp(ln(x)+x^2-x-2)+x^5+16*x^4-104*x^3-1344*x^2+7056*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{-\frac{25}{x^{2} {\mathrm e}^{2 \left(x +1\right) \left(x -2\right)}+2 x^{2} {\mathrm e}^{\left(x +1\right) \left(x -2\right)}+8 x \,{\mathrm e}^{\left(x +1\right) \left(x -2\right)}+x^{2}+8 x -84}}$&$52$\\ \hline \end{longtable}"," ",0,"x^(-25/(x^2*exp(2*(x+1)*(x-2))+2*x^2*exp((x+1)*(x-2))+8*x*exp((x+1)*(x-2))+x^2+8*x-84))","A"
6886,1,5,19,0.009000," ","int(ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(2\right)$&$5$\\ norman&$x \ln \left(2\right)$&$5$\\ risch&$x \ln \left(2\right)$&$5$\\ \hline \end{longtable}"," ",0,"x*ln(2)","A"
6887,1,13,14,0.033000," ","int(((2-x)*exp(x)-10)/(exp(x)*x-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(x \right)-\ln \left({\mathrm e}^{x}-5\right)$&$13$\\ risch&$2 \ln \left(x \right)-\ln \left({\mathrm e}^{x}-5\right)$&$13$\\ \hline \end{longtable}"," ",0,"2*ln(x)-ln(exp(x)-5)","A"
6888,1,34,28,0.538000," ","int(((3+x)*ln(2/(3+x)/exp(5/3))^2+((6*x^3+21*x^2+9*x)*exp(x^2+x)+2*x^2+6*x)*ln(2/(3+x)/exp(5/3))+(6*x^4+21*x^3+6*x^2-6*x)*exp(x^2+x)+x^3+3*x^2)/((x^2+3*x)*ln(2/(3+x)/exp(5/3))^2+(2*x^3+6*x^2)*ln(2/(3+x)/exp(5/3))+x^4+3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\frac{18 i {\mathrm e}^{\left(x +1\right) x}}{6 i \ln \left(2\right)+6 i x -6 i \ln \left(3+x \right)-10 i}$&$34$\\ \hline \end{longtable}"," ",0,"ln(x)+18*I*exp((x+1)*x)/(6*I*ln(2)+6*I*x-6*I*ln(3+x)-10*I)","C"
6889,1,19,21,0.096000," ","int((4*exp(5)^2+(7*x-1)*exp(5)+3*x^2)/(4*exp(5)^2+7*x*exp(5)+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\ln \left({\mathrm e}^{5}+x \right)+\ln \left(4 \,{\mathrm e}^{5}+3 x \right)$&$19$\\ risch&$x -\ln \left({\mathrm e}^{5}+x \right)+\ln \left(4 \,{\mathrm e}^{5}+3 x \right)$&$19$\\ default&$x +\frac{2 \,{\mathrm e}^{5} \arctanh \left(\frac{7 \,{\mathrm e}^{5}+6 x}{\sqrt{{\mathrm e}^{10}}}\right)}{\sqrt{{\mathrm e}^{10}}}$&$43$\\ \hline \end{longtable}"," ",0,"x-ln(exp(5)+x)+ln(4*exp(5)+3*x)","A"
6890,0,0,25,0.074000," ","int(((exp(x)^2-3*exp(x)*x+2*x^2)*ln(x)*ln((x*exp(x)^2-2*exp(x)*x^2)/(exp(x)^2-2*exp(x)*x+x^2))*ln(ln(x))*ln(ln((x*exp(x)^2-2*exp(x)*x^2)/(exp(x)^2-2*exp(x)*x+x^2))/ln(ln(x)))+(exp(x)^2-3*exp(x)*x+2*x^3)*ln(x)*ln(ln(x))+(-exp(x)^2+3*exp(x)*x-2*x^2)*ln((x*exp(x)^2-2*exp(x)*x^2)/(exp(x)^2-2*exp(x)*x+x^2)))/(exp(x)^2-3*exp(x)*x+2*x^2)/ln(x)/ln((x*exp(x)^2-2*exp(x)*x^2)/(exp(x)^2-2*exp(x)*x+x^2))/ln(ln(x)),x)","\[\int \frac{\left({\mathrm e}^{2 x}-3 \,{\mathrm e}^{x} x +2 x^{2}\right) \ln \left(x \right) \ln \left(\frac{x \,{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} x^{2}}{{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} x +x^{2}}\right) \ln \left(\ln \left(x \right)\right) \ln \left(\frac{\ln \left(\frac{x \,{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} x^{2}}{{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} x +x^{2}}\right)}{\ln \left(\ln \left(x \right)\right)}\right)+\left({\mathrm e}^{2 x}-3 \,{\mathrm e}^{x} x +2 x^{3}\right) \ln \left(x \right) \ln \left(\ln \left(x \right)\right)+\left(-{\mathrm e}^{2 x}+3 \,{\mathrm e}^{x} x -2 x^{2}\right) \ln \left(\frac{x \,{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} x^{2}}{{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} x +x^{2}}\right)}{\left({\mathrm e}^{2 x}-3 \,{\mathrm e}^{x} x +2 x^{2}\right) \ln \left(x \right) \ln \left(\frac{x \,{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} x^{2}}{{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} x +x^{2}}\right) \ln \left(\ln \left(x \right)\right)}\, dx\]"," ",0,"int(((exp(x)^2-3*exp(x)*x+2*x^2)*ln(x)*ln((x*exp(x)^2-2*exp(x)*x^2)/(exp(x)^2-2*exp(x)*x+x^2))*ln(ln(x))*ln(ln((x*exp(x)^2-2*exp(x)*x^2)/(exp(x)^2-2*exp(x)*x+x^2))/ln(ln(x)))+(exp(x)^2-3*exp(x)*x+2*x^3)*ln(x)*ln(ln(x))+(-exp(x)^2+3*exp(x)*x-2*x^2)*ln((x*exp(x)^2-2*exp(x)*x^2)/(exp(x)^2-2*exp(x)*x+x^2)))/(exp(x)^2-3*exp(x)*x+2*x^2)/ln(x)/ln((x*exp(x)^2-2*exp(x)*x^2)/(exp(x)^2-2*exp(x)*x+x^2))/ln(ln(x)),x)","F"
6891,1,379,19,0.131000," ","int((3*ln(x)+x^2-x-2)/(x*ln(x)-x^3-x^2)/ln(4*x^3/(ln(x)^2+(-2*x^2-2*x)*ln(x)+x^4+2*x^3+x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x^{2}-\ln \left(x \right)+x \right)+\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+\pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(\frac{i}{\left(-x^{2}+\ln \left(x \right)-x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i x^{3}}{\left(-x^{2}+\ln \left(x \right)-x \right)^{2}}\right)-\pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(\frac{i x^{3}}{\left(-x^{2}+\ln \left(x \right)-x \right)^{2}}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\left(-x^{2}+\ln \left(x \right)-x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i x^{3}}{\left(-x^{2}+\ln \left(x \right)-x \right)^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(-x^{2}+\ln \left(x \right)-x \right)\right)^{2} \mathrm{csgn}\left(i \left(-x^{2}+\ln \left(x \right)-x \right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(-x^{2}+\ln \left(x \right)-x \right)\right) \mathrm{csgn}\left(i \left(-x^{2}+\ln \left(x \right)-x \right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(-x^{2}+\ln \left(x \right)-x \right)^{2}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i x^{3}}{\left(-x^{2}+\ln \left(x \right)-x \right)^{2}}\right)^{3}+4 i \ln \left(2\right)+6 i \ln \left(x \right)\right)}{4}\right)$&$379$\\ \hline \end{longtable}"," ",0,"ln(ln(x^2-ln(x)+x)+1/4*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2+Pi*csgn(I*x^3)^3+Pi*csgn(I*x^3)*csgn(I/(-x^2+ln(x)-x)^2)*csgn(I*x^3/(-x^2+ln(x)-x)^2)-Pi*csgn(I*x^3)*csgn(I*x^3/(-x^2+ln(x)-x)^2)^2-Pi*csgn(I/(-x^2+ln(x)-x)^2)*csgn(I*x^3/(-x^2+ln(x)-x)^2)^2-Pi*csgn(I*(-x^2+ln(x)-x))^2*csgn(I*(-x^2+ln(x)-x)^2)-2*Pi*csgn(I*(-x^2+ln(x)-x))*csgn(I*(-x^2+ln(x)-x)^2)^2-Pi*csgn(I*(-x^2+ln(x)-x)^2)^3+Pi*csgn(I*x^3/(-x^2+ln(x)-x)^2)^3+4*I*ln(2)+6*I*ln(x)))","C"
6892,1,27,19,0.030000," ","int(1/5*(((x^2-4*x)*exp(x)+5*x*exp(1/exp(2)))*ln(x)+(-2*x+10)*exp(x)+(-10*x+50)*exp(1/exp(2)))/x/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x \,{\mathrm e}^{{\mathrm e}^{-2}}+{\mathrm e}^{x} x -25 \,{\mathrm e}^{{\mathrm e}^{-2}}-5 \,{\mathrm e}^{x}}{5 \ln \left(x \right)^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"1/5*(5*x*exp(exp(-2))+exp(x)*x-25*exp(exp(-2))-5*exp(x))/ln(x)^2","A"
6893,1,12,16,0.011000," ","int(exp(x)-2*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x}-x^{2}+2 x$&$12$\\ norman&${\mathrm e}^{x}-x^{2}+2 x$&$12$\\ risch&${\mathrm e}^{x}-x^{2}+2 x$&$12$\\ \hline \end{longtable}"," ",0,"exp(x)-x^2+2*x","A"
6894,1,20,18,0.237000," ","int((-60*exp(1/9)*exp(2)*exp(20*exp(2)/x)+x^2)/(3*x^2*exp(1/9)*exp(20*exp(2)/x)+3*x^2*exp(1/9)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(3 \,{\mathrm e}^{\frac{1}{9}} {\mathrm e}^{\frac{20 \,{\mathrm e}^{2}}{x}}+3 \,{\mathrm e}^{\frac{1}{9}}+x \right)$&$20$\\ risch&$\ln \left({\mathrm e}^{\frac{20 \,{\mathrm e}^{2}}{x}}+\frac{\left(3 \,{\mathrm e}^{\frac{1}{9}}+x \right) {\mathrm e}^{-\frac{1}{9}}}{3}\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(3*exp(1/9)*exp(20*exp(2)/x)+3*exp(1/9)+x)","A"
6895,1,22,19,0.033000," ","int((-4*x^2+2*x)*exp(ln(ln(3))^2-4*x+1)-3*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\ln \left(\ln \left(3\right)\right)^{2}-4 x +1} x^{2}-x^{3}$&$22$\\ risch&${\mathrm e}^{\ln \left(\ln \left(3\right)\right)^{2}-4 x +1} x^{2}-x^{3}$&$22$\\ default&$-\frac{{\mathrm e}^{\ln \left(\ln \left(3\right)\right)^{2}-4 x +1} \left(\ln \left(\ln \left(3\right)\right)^{2}-4 x +1\right) \ln \left(\ln \left(3\right)\right)^{2}}{8}+\frac{{\mathrm e}^{\ln \left(\ln \left(3\right)\right)^{2}-4 x +1} \ln \left(\ln \left(3\right)\right)^{2}}{8}+\frac{{\mathrm e}^{\ln \left(\ln \left(3\right)\right)^{2}-4 x +1} \left(\ln \left(\ln \left(3\right)\right)^{2}-4 x +1\right)^{2}}{16}-\frac{{\mathrm e}^{\ln \left(\ln \left(3\right)\right)^{2}-4 x +1} \left(\ln \left(\ln \left(3\right)\right)^{2}-4 x +1\right)}{8}+\frac{{\mathrm e}^{\ln \left(\ln \left(3\right)\right)^{2}-4 x +1}}{16}+\frac{{\mathrm e}^{\ln \left(\ln \left(3\right)\right)^{2}-4 x +1} \ln \left(\ln \left(3\right)\right)^{4}}{16}-x^{3}$&$132$\\ derivativedivides&$\frac{\left(\ln \left(\ln \left(3\right)\right)^{2}-4 x +1\right)^{3}}{64}-\frac{3 \left(\ln \left(\ln \left(3\right)\right)^{2}-4 x +1\right)^{2} \ln \left(\ln \left(3\right)\right)^{2}}{64}-\frac{3 \left(\ln \left(\ln \left(3\right)\right)^{2}-4 x +1\right)^{2}}{64}+\frac{3 \left(\ln \left(\ln \left(3\right)\right)^{2}-4 x +1\right) \ln \left(\ln \left(3\right)\right)^{4}}{64}+\frac{3 \left(\ln \left(\ln \left(3\right)\right)^{2}-4 x +1\right) \ln \left(\ln \left(3\right)\right)^{2}}{32}-\frac{3 x}{16}+\frac{1}{32}-\frac{\ln \left(\ln \left(3\right)\right)^{6}}{64}-\frac{3 \ln \left(\ln \left(3\right)\right)^{4}}{64}-\frac{{\mathrm e}^{\ln \left(\ln \left(3\right)\right)^{2}-4 x +1} \left(\ln \left(\ln \left(3\right)\right)^{2}-4 x +1\right) \ln \left(\ln \left(3\right)\right)^{2}}{8}+\frac{{\mathrm e}^{\ln \left(\ln \left(3\right)\right)^{2}-4 x +1} \ln \left(\ln \left(3\right)\right)^{2}}{8}+\frac{{\mathrm e}^{\ln \left(\ln \left(3\right)\right)^{2}-4 x +1} \left(\ln \left(\ln \left(3\right)\right)^{2}-4 x +1\right)^{2}}{16}-\frac{{\mathrm e}^{\ln \left(\ln \left(3\right)\right)^{2}-4 x +1} \left(\ln \left(\ln \left(3\right)\right)^{2}-4 x +1\right)}{8}+\frac{{\mathrm e}^{\ln \left(\ln \left(3\right)\right)^{2}-4 x +1}}{16}+\frac{{\mathrm e}^{\ln \left(\ln \left(3\right)\right)^{2}-4 x +1} \ln \left(\ln \left(3\right)\right)^{4}}{16}$&$226$\\ \hline \end{longtable}"," ",0,"exp(ln(ln(3))^2-4*x+1)*x^2-x^3","A"
6896,1,25,18,0.114000," ","int(((exp(1)^2+(12*x+6)*exp(1)+36*x^2+36*x+9)*exp(x)+3+exp(1))/((exp(1)^2+(12*x+6)*exp(1)+36*x^2+36*x+9)*exp(x)-3*exp(1)^2+(-35*x-18)*exp(1)-102*x^2-105*x-27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{x}-\frac{3 \,{\mathrm e}+17 x +9}{6 x +3+{\mathrm e}}\right)$&$25$\\ norman&$-\ln \left(6 x +3+{\mathrm e}\right)+\ln \left({\mathrm e} \,{\mathrm e}^{x}+6 \,{\mathrm e}^{x} x -3 \,{\mathrm e}-17 x +3 \,{\mathrm e}^{x}-9\right)$&$36$\\ \hline \end{longtable}"," ",0,"ln(exp(x)-(3*exp(1)+17*x+9)/(6*x+3+exp(1)))","A"
6897,1,19,21,0.044000," ","int(1/3072*(-3*x^2-67837)*exp(1/768*(-3*x^2+6*x+67837)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{-\frac{3 x^{2}-6 x -67837}{768 x}}}{4}$&$19$\\ norman&$\frac{{\mathrm e}^{\frac{-3 x^{2}+6 x +67837}{768 x}}}{4}$&$19$\\ risch&$\frac{{\mathrm e}^{-\frac{3 x^{2}-6 x -67837}{768 x}}}{4}$&$19$\\ \hline \end{longtable}"," ",0,"1/4*exp(-1/768*(3*x^2-6*x-67837)/x)","A"
6898,1,24,19,0.191000," ","int((((4*x+12)*ln(2/3)-4*x^2+36)*exp(x)*ln(ln(2/3)+3-x)+(-4*x-8)*exp(x)+6*ln(2/3)-6*x+18)/(3*ln(2/3)-3*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \left(2+x \right) {\mathrm e}^{x} \ln \left(\ln \left(2\right)-\ln \left(3\right)+3-x \right)}{3}+2 x$&$24$\\ default&$2 x +\frac{8 \,{\mathrm e}^{x} \ln \left(\ln \left(\frac{2}{3}\right)+3-x \right)}{3}+\frac{4 \,{\mathrm e}^{x} x \ln \left(\ln \left(\frac{2}{3}\right)+3-x \right)}{3}$&$30$\\ norman&$2 x +\frac{8 \,{\mathrm e}^{x} \ln \left(\ln \left(\frac{2}{3}\right)+3-x \right)}{3}+\frac{4 \,{\mathrm e}^{x} x \ln \left(\ln \left(\frac{2}{3}\right)+3-x \right)}{3}$&$30$\\ \hline \end{longtable}"," ",0,"4/3*(2+x)*exp(x)*ln(ln(2)-ln(3)+3-x)+2*x","A"
6899,1,15,18,0.026000," ","int(6*x*exp(ln(x)-5)+6*exp(3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x^{3} {\mathrm e}^{-5}+2 \,{\mathrm e}^{3 x}$&$15$\\ risch&$2 x^{3} {\mathrm e}^{-5}+2 \,{\mathrm e}^{3 x}$&$15$\\ norman&$2 x^{3} {\mathrm e}^{-5}+2 \,{\mathrm e}^{3 x}$&$17$\\ \hline \end{longtable}"," ",0,"2*x^3*exp(-5)+2*exp(3*x)","A"
6900,1,23,20,0.030000," ","int((((6*x^3+30*x^2)*ln(x)+4*x^4+18*x^3-10*x^2)*ln(5+x)-2*x^3*ln(x)-2*x^4-18*x^3-90*x^2)/(((5+x)*ln(x)^2+(2*x^2+10*x)*ln(x)+x^3+5*x^2)*ln(5+x)^2+((-6*x-30)*ln(x)-6*x^2-30*x)*ln(5+x)+9*x+45),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{3}}{\ln \left(x \right) \ln \left(5+x \right)+x \ln \left(5+x \right)-3}$&$23$\\ \hline \end{longtable}"," ",0,"2*x^3/(ln(x)*ln(5+x)+x*ln(5+x)-3)","A"
6901,1,13,12,0.015000," ","int(1/96*((-x-4)*ln(x)^2+(2*x+4)*ln(x))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{2} \left(2+x \right)}{96 x^{2}}$&$13$\\ norman&$\frac{\frac{\ln \left(x \right)^{2}}{48}+\frac{x \ln \left(x \right)^{2}}{96}}{x^{2}}$&$19$\\ default&$\frac{\ln \left(x \right)^{2}}{96 x}+\frac{\ln \left(x \right)^{2}}{48 x^{2}}$&$20$\\ \hline \end{longtable}"," ",0,"1/96/x^2*ln(x)^2*(2+x)","A"
6902,0,0,34,0.024000," ","int(((4*x^5-8*x^2)*ln((-x^3+2)/x)*ln(ln((-x^3+2)/x))^2+(16*x^5+16*x^2)*ln(ln((-x^3+2)/x))+(8*x^6+x^5+4*x^3-2*x^2-40)*ln((-x^3+2)/x))/(4*x^5-8*x^2)/ln((-x^3+2)/x),x)","\[\int \frac{\left(4 x^{5}-8 x^{2}\right) \ln \left(\frac{-x^{3}+2}{x}\right) \ln \left(\ln \left(\frac{-x^{3}+2}{x}\right)\right)^{2}+\left(16 x^{5}+16 x^{2}\right) \ln \left(\ln \left(\frac{-x^{3}+2}{x}\right)\right)+\left(8 x^{6}+x^{5}+4 x^{3}-2 x^{2}-40\right) \ln \left(\frac{-x^{3}+2}{x}\right)}{\left(4 x^{5}-8 x^{2}\right) \ln \left(\frac{-x^{3}+2}{x}\right)}\, dx\]"," ",0,"int(((4*x^5-8*x^2)*ln((-x^3+2)/x)*ln(ln((-x^3+2)/x))^2+(16*x^5+16*x^2)*ln(ln((-x^3+2)/x))+(8*x^6+x^5+4*x^3-2*x^2-40)*ln((-x^3+2)/x))/(4*x^5-8*x^2)/ln((-x^3+2)/x),x)","F"
6903,1,30,29,0.151000," ","int(((-4*x^2-10*x)*ln((2*x^2+5*x)*exp(x))+(-2*x-5)*exp(x)-2*x^3-5*x^2+3*x-5)/(5+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2} \ln \left(\left(2 x^{2}+5 x \right) {\mathrm e}^{x}\right)-x +x^{2}-{\mathrm e}^{x}$&$30$\\ norman&$-x^{2} \ln \left(\left(2 x^{2}+5 x \right) {\mathrm e}^{x}\right)-x +x^{2}-{\mathrm e}^{x}$&$30$\\ risch&$-x^{2} \ln \left({\mathrm e}^{x}\right)-x^{2} \ln \left(\frac{5}{2}+x \right)-x^{2} \ln \left(x \right)-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\frac{5}{2}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(\frac{5}{2}+x \right)\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \left(\frac{5}{2}+x \right) {\mathrm e}^{x}\right)^{3}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(\frac{5}{2}+x \right)\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{x} \left(\frac{5}{2}+x \right)\right)^{3}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(\frac{5}{2}+x \right)\right) \mathrm{csgn}\left(i x \left(\frac{5}{2}+x \right) {\mathrm e}^{x}\right)}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{x} \left(\frac{5}{2}+x \right)\right) \mathrm{csgn}\left(i x \left(\frac{5}{2}+x \right) {\mathrm e}^{x}\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i \left(\frac{5}{2}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(\frac{5}{2}+x \right)\right)}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\frac{5}{2}+x \right) {\mathrm e}^{x}\right)^{2}}{2}-x^{2} \ln \left(2\right)+x^{2}-x -{\mathrm e}^{x}$&$241$\\ \hline \end{longtable}"," ",0,"-x^2*ln((2*x^2+5*x)*exp(x))-x+x^2-exp(x)","A"
6904,1,22,17,0.101000," ","int(3*x^2*ln((ln(3)+28)*exp(ln(x)^2))+2*x^2*ln(x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3} \ln \left({\mathrm e}^{\ln \left(x \right)^{2}}\right)+\ln \left(\ln \left(3\right)+28\right) x^{3}+x$&$22$\\ default&$x +x^{3} \ln \left(x \right)^{2}+\left(\ln \left(\left(\ln \left(3\right)+28\right) {\mathrm e}^{\ln \left(x \right)^{2}}\right)-\ln \left(x \right)^{2}\right) x^{3}$&$33$\\ \hline \end{longtable}"," ",0,"x^3*ln(exp(ln(x)^2))+ln(ln(3)+28)*x^3+x","A"
6905,1,62,22,0.123000," ","int((((-4*x^2*exp(3)+16*x^2)*exp(x^2+2)+2*exp(3)^2-16*exp(3)+32)*ln(x)+4*x^2*exp(x^2+2)^2+((-12*x^2-2)*exp(3)+48*x^2+8)*exp(x^2+2)+(x+6)*exp(3)^2+(-8*x-48)*exp(3)+16*x+96)/(x*exp(3)^2-8*x*exp(3)+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +6 \ln \left(x \right)-\frac{6 \,{\mathrm e}^{x^{2}+2}}{{\mathrm e}^{3}-4}-\frac{2 \,{\mathrm e}^{x^{2}+2} \ln \left(x \right)}{{\mathrm e}^{3}-4}+\ln \left(x \right)^{2}+\frac{{\mathrm e}^{2 x^{2}+4}}{{\mathrm e}^{6}-8 \,{\mathrm e}^{3}+16}$&$62$\\ norman&$\frac{\frac{{\mathrm e}^{2 x^{2}+4}}{{\mathrm e}^{3}-4}+\left({\mathrm e}^{3}-4\right) x +\left({\mathrm e}^{3}-4\right) \ln \left(x \right)^{2}+\left(6 \,{\mathrm e}^{3}-24\right) \ln \left(x \right)-2 \,{\mathrm e}^{x^{2}+2} \ln \left(x \right)-6 \,{\mathrm e}^{x^{2}+2}}{{\mathrm e}^{3}-4}$&$66$\\ risch&$\ln \left(x \right)^{2}-\frac{2 \,{\mathrm e}^{x^{2}+2} \ln \left(x \right)}{{\mathrm e}^{3}-4}-\frac{48 \ln \left(x \right) {\mathrm e}^{3}}{\left({\mathrm e}^{3}-4\right)^{2}}+\frac{6 \,{\mathrm e}^{6} \ln \left(x \right)}{\left({\mathrm e}^{3}-4\right)^{2}}-\frac{8 x \,{\mathrm e}^{3}}{\left({\mathrm e}^{3}-4\right)^{2}}+\frac{x \,{\mathrm e}^{6}}{\left({\mathrm e}^{3}-4\right)^{2}}+\frac{96 \ln \left(x \right)}{\left({\mathrm e}^{3}-4\right)^{2}}+\frac{24 \,{\mathrm e}^{x^{2}+2}}{\left({\mathrm e}^{3}-4\right)^{2}}-\frac{6 \,{\mathrm e}^{x^{2}+5}}{\left({\mathrm e}^{3}-4\right)^{2}}+\frac{{\mathrm e}^{2 x^{2}+4}}{\left({\mathrm e}^{3}-4\right)^{2}}+\frac{16 x}{\left({\mathrm e}^{3}-4\right)^{2}}$&$129$\\ \hline \end{longtable}"," ",0,"x+6*ln(x)-6*exp(x^2+2)/(exp(3)-4)-2/(exp(3)-4)*exp(x^2+2)*ln(x)+ln(x)^2+1/(exp(3)^2-8*exp(3)+16)*exp(x^2+2)^2","B"
6906,1,27,27,0.018000," ","int((2*ln(x^2)+128*x^3+96*x^2+16*x+8)/(x^2*ln(x^2)^2+(32*x^5+32*x^4+8*x^3+4*x^2)*ln(x^2)+256*x^8+512*x^7+384*x^6+192*x^5+80*x^4+16*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2}{x \left(16 x^{3}+16 x^{2}+\ln \left(x^{2}\right)+4 x +2\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-2/x/(16*x^3+16*x^2+ln(x^2)+4*x+2)","A"
6907,1,15,14,0.054000," ","int((x^2*exp(exp(3)+x)+2*x)*exp(exp(exp(3)+x))/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}+x}}}{\ln \left(5\right)}$&$15$\\ risch&$\frac{x^{2} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}+x}}}{\ln \left(5\right)}$&$15$\\ \hline \end{longtable}"," ",0,"x^2*exp(exp(exp(3)+x))/ln(5)","A"
6908,1,33,23,0.138000," ","int((((-x-2)*ln(3)^2-4*x-8)*exp(((2-x)*ln(3)^2-4*x)/ln(3)^2)*ln(2*x+4)+ln(3)^2*exp(((2-x)*ln(3)^2-4*x)/ln(3)^2)+(2+x)*ln(3)^2)/(2+x)/ln(3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-\frac{x \ln \left(3\right)^{2}-2 \ln \left(3\right)^{2}+4 x}{\ln \left(3\right)^{2}}} \ln \left(2 x +4\right)$&$33$\\ norman&$\frac{x \ln \left(3\right)+\ln \left(3\right) {\mathrm e}^{\frac{\left(2-x \right) \ln \left(3\right)^{2}-4 x}{\ln \left(3\right)^{2}}} \ln \left(2 x +4\right)}{\ln \left(3\right)}$&$40$\\ default&$\frac{x \ln \left(3\right)^{2}+\ln \left(3\right)^{2} {\mathrm e}^{\frac{\left(2-x \right) \ln \left(3\right)^{2}-4 x}{\ln \left(3\right)^{2}}} \ln \left(2 x +4\right)}{\ln \left(3\right)^{2}}$&$44$\\ \hline \end{longtable}"," ",0,"x+exp(-(x*ln(3)^2-2*ln(3)^2+4*x)/ln(3)^2)*ln(2*x+4)","A"
6909,1,27,21,0.035000," ","int((4*x^5-4*x^4-1719*x^3+1438*x^2+3096*x-864)/(4*x^6-148*x^5+1873*x^4-1764*x^3+432*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{2}{x \left(2 x -1\right)}-\ln \left(x \right)+\ln \left(x^{2}-36 x +432\right)$&$27$\\ risch&$-\frac{2}{x \left(2 x -1\right)}-\ln \left(x \right)+\ln \left(x^{2}-36 x +432\right)$&$27$\\ default&$-\frac{4}{2 x -1}+\frac{2}{x}-\ln \left(x \right)+\ln \left(x^{2}-36 x +432\right)$&$29$\\ \hline \end{longtable}"," ",0,"-2/x/(2*x-1)-ln(x)+ln(x^2-36*x+432)","A"
6910,1,9,8,0.015000," ","int((-exp(16)+1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{-1+{\mathrm e}^{16}}{x}$&$9$\\ norman&$\frac{-1+{\mathrm e}^{16}}{x}$&$9$\\ default&$-\frac{-{\mathrm e}^{16}+1}{x}$&$12$\\ risch&$\frac{{\mathrm e}^{16}}{x}-\frac{1}{x}$&$13$\\ \hline \end{longtable}"," ",0,"(-1+exp(16))/x","A"
6911,1,47,26,0.143000," ","int((2*((6*x^2+20*x)*exp(2)^2+(8*x^3+20*x^2)*exp(2)+2*x^4-4*x^3-10*x^2)*ln(3)+(-30*x^2-100*x)*exp(2)^2+(-40*x^3-100*x^2)*exp(2)-10*x^4+20*x^3+50*x^2)/(exp(2)^4+4*x*exp(2)^3+(6*x^2-2*x)*exp(2)^2+(4*x^3-4*x^2)*exp(2)+x^4-2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{2 \left(-x^{3}+5 \,{\mathrm e}^{4}+10 \,{\mathrm e}^{2} x -5 x \right) \left(2 \ln \left(3\right)-5\right)}{{\mathrm e}^{4}+2 \,{\mathrm e}^{2} x +x^{2}-x}$&$47$\\ norman&$\frac{-10 \left(2 \,{\mathrm e}^{2}-1\right) \left(2 \ln \left(3\right)-5\right) x +\left(4 \ln \left(3\right)-10\right) x^{3}-10 \,{\mathrm e}^{4} \left(2 \ln \left(3\right)-5\right)}{{\mathrm e}^{4}+2 \,{\mathrm e}^{2} x +x^{2}-x}$&$58$\\ risch&$4 x \ln \left(3\right)-10 x +\frac{\left(12 \,{\mathrm e}^{4} \ln \left(3\right)-30 \,{\mathrm e}^{4}-56 \,{\mathrm e}^{2} \ln \left(3\right)+140 \,{\mathrm e}^{2}+24 \ln \left(3\right)-60\right) x +4 \left(2 \,{\mathrm e}^{2} \ln \left(3\right)-5 \,{\mathrm e}^{2}-6 \ln \left(3\right)+15\right) {\mathrm e}^{4}}{{\mathrm e}^{4}+2 \,{\mathrm e}^{2} x +x^{2}-x}$&$76$\\ default&$\left(4 \ln \left(3\right)-10\right) \left(x +\frac{\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+\left(4 \,{\mathrm e}^{2}-2\right) \textit{\_Z}^{3}+\left(-4 \,{\mathrm e}^{2}+6 \,{\mathrm e}^{4}+1\right) \textit{\_Z}^{2}+\left(-2 \,{\mathrm e}^{4}+4 \,{\mathrm e}^{6}\right) \textit{\_Z} +{\mathrm e}^{8}\right)}{\sum}\frac{\left(\left(14 \,{\mathrm e}^{2}-3 \,{\mathrm e}^{4}-6\right) \textit{\_R}^{2}+4 \left(3 \,{\mathrm e}^{4}-{\mathrm e}^{6}\right) \textit{\_R} -{\mathrm e}^{8}\right) \ln \left(x -\textit{\_R} \right)}{2 \,{\mathrm e}^{6}+6 \textit{\_R} \,{\mathrm e}^{4}+6 \textit{\_R}^{2} {\mathrm e}^{2}+2 \textit{\_R}^{3}-{\mathrm e}^{4}-4 \,{\mathrm e}^{2} \textit{\_R} -3 \textit{\_R}^{2}+\textit{\_R}}\right)}{2}\right)$&$134$\\ \hline \end{longtable}"," ",0,"-2*(-x^3+5*exp(2)^2+10*exp(2)*x-5*x)*(2*ln(3)-5)/(exp(2)^2+2*exp(2)*x+x^2-x)","A"
6912,1,9,12,0.017000," ","int((3*x+5)/(5*x*ln(x)+3*x^2+90*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\frac{3 x}{5}+\ln \left(x \right)+18\right)$&$9$\\ norman&$\ln \left(5 \ln \left(x \right)+3 x +90\right)$&$11$\\ \hline \end{longtable}"," ",0,"ln(3/5*x+ln(x)+18)","A"
6913,1,37,20,0.125000," ","int(((4*ln(2)+40)*ln(15*x/(2*ln(2)+20+5*x))+16*ln(2)+160)*exp(ln(15*x/(2*ln(2)+20+5*x))^2+8*ln(15*x/(2*ln(2)+20+5*x))+16)/(10*x*ln(2)+25*x^2+100*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{512578125 x^{8} {\mathrm e}^{\ln \left(\frac{15 x}{2 \ln \left(2\right)+20+5 x}\right)^{2}+16}}{\left(2 \ln \left(2\right)+20+5 x \right)^{8}}$&$37$\\ norman&$\frac{{\mathrm e}^{\ln \left(\frac{15 x}{2 \ln \left(2\right)+20+5 x}\right)^{2}+8 \ln \left(\frac{15 x}{2 \ln \left(2\right)+20+5 x}\right)+16}}{5}$&$40$\\ \hline \end{longtable}"," ",0,"512578125*x^8/(2*ln(2)+20+5*x)^8*exp(ln(15*x/(2*ln(2)+20+5*x))^2+16)","A"
6914,1,24,27,0.036000," ","int((-ln(x)^2+2*ln(x)+(-2*x^3-30*x^2-6*x)*exp(2))/x^2/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-30 x -6 \ln \left(x \right)+\frac{\ln \left(x \right)^{2} {\mathrm e}^{-2}}{x}$&$24$\\ norman&$\frac{\ln \left(x \right)^{2} {\mathrm e}^{-2}-6 x \ln \left(x \right)-30 x^{2}-x^{3}}{x}$&$30$\\ default&${\mathrm e}^{-2} \left(-x^{2} {\mathrm e}^{2}-30 \,{\mathrm e}^{2} x -6 \,{\mathrm e}^{2} \ln \left(x \right)+\frac{\ln \left(x \right)^{2}}{x}\right)$&$33$\\ \hline \end{longtable}"," ",0,"-x^2-30*x-6*ln(x)+ln(x)^2*exp(-2)/x","A"
6915,1,454,20,0.520000," ","int(1/134217728*(-152587890625-3784179687500*x-76947023462400000*x^11-48855252992000000*x^12-22849226014720000*x^13-7421703487488000*x^14-140737488355328*x^16-1495335813775360*x^15-36608000000000000*x^7-63258624000000000*x^8-92366962688000000*x^10-86219161600000000*x^9-16656640000000000*x^6-5896800000000000*x^5-1592500000000000*x^4-317187500000000*x^3-43945312500000*x^2-549755813888*x^16*ln(2)^8+128*(68719476736*x^16+91268055040*x^15+30198988800*x^14)*ln(2)^7+64*(-962072674304*x^16-2555505541120*x^15-2536715059200*x^14-1115684864000*x^13-183500800000*x^12)*ln(2)^6+32*(7696581394432*x^16+30666066493440*x^15+50734301184000*x^14+44627394560000*x^13+22020096000000*x^12+5780275200000*x^11+630784000000*x^10)*ln(2)^5+16*(-38482906972160*x^16-204440443289600*x^15-473520144384000*x^14-624783523840000*x^13-513802240000000*x^12-269746176000000*x^11-88309760000000*x^10-16486400000000*x^9-1344000000000*x^8)*ln(2)^4+8*(123145302310912*x^16+817761773158400*x^15+2435246456832000*x^14+4284229877760000*x^13+4932501504000000*x^12+3884344934400000*x^11+2119434240000000*x^10+791347200000000*x^9+193536000000000*x^8+28000000000000*x^7+1820000000000*x^6)*ln(2)^3+4*(-246290604621824*x^16-1962628255580160*x^15-7143389606707200*x^14-15708842885120000*x^13-23253221376000000*x^12-24415882444800000*x^11-18651021312000000*x^10-10445783040000000*x^9-4257792000000000*x^8-1232000000000000*x^7-240240000000000*x^6-28350000000000*x^5-1531250000000*x^4)*ln(2)^2+2*(281474976710656*x^16+2616837674106880*x^15+11256250289356800*x^14+29703993819136000*x^13+53740778291200000*x^12+70534771507200000*x^11+69275222016000000*x^10+51731496960000000*x^9+29520691200000000*x^8+12812800000000000*x^7+4164160000000000*x^6+982800000000000*x^5+159250000000000*x^4+15859375000000*x^3+732421875000*x^2)*ln(2))/x^33,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{152587890625}{4294967296}+\left(-\frac{8544921875 \ln \left(2\right)}{1048576}+\frac{42724609375}{524288}\right) x^{3}+\left(-\frac{6103515625 \ln \left(2\right)}{16777216}+\frac{91552734375}{8388608}\right) x^{2}+\left(\frac{1025390625 \ln \left(2\right)^{2}}{32768}-\frac{4443359375 \ln \left(2\right)}{8192}+\frac{13330078125}{8192}\right) x^{5}+\left(\frac{1708984375 \ln \left(2\right)^{2}}{1048576}-\frac{22216796875 \ln \left(2\right)}{262144}+\frac{111083984375}{262144}\right) x^{4}+\left(-\frac{68359375 \ln \left(2\right)^{3}}{1024}+\frac{751953125 \ln \left(2\right)^{2}}{512}-\frac{1955078125 \ln \left(2\right)}{256}+\frac{1396484375}{128}\right) x^{7}+\left(-\frac{68359375 \ln \left(2\right)^{3}}{16384}+\frac{2255859375 \ln \left(2\right)^{2}}{8192}-\frac{9775390625 \ln \left(2\right)}{4096}+\frac{9775390625}{2048}\right) x^{6}+\left(\frac{2734375 \ln \left(2\right)^{4}}{32}-\frac{8203125 \ln \left(2\right)^{3}}{4}+\frac{54140625 \ln \left(2\right)^{2}}{4}-33515625 \ln \left(2\right)+\frac{55859375}{2}\right) x^{9}+\left(\frac{13671875 \ln \left(2\right)^{4}}{2048}-\frac{123046875 \ln \left(2\right)^{3}}{256}+\frac{1353515625 \ln \left(2\right)^{2}}{256}-\frac{1173046875 \ln \left(2\right)}{64}+\frac{2513671875}{128}\right) x^{8}+\left(-65625 \ln \left(2\right)^{5}+1531250 \ln \left(2\right)^{4}-11025000 \ln \left(2\right)^{3}+34650000 \ln \left(2\right)^{2}-50050000 \ln \left(2\right)+27300000\right) x^{11}+\left(-\frac{109375 \ln \left(2\right)^{5}}{16}+\frac{3828125 \ln \left(2\right)^{4}}{8}-\frac{11484375 \ln \left(2\right)^{3}}{2}+25265625 \ln \left(2\right)^{2}-46921875 \ln \left(2\right)+31281250\right) x^{10}+\left(4375 \ln \left(2\right)^{6}-262500 \ln \left(2\right)^{5}+3062500 \ln \left(2\right)^{4}-14700000 \ln \left(2\right)^{3}+34650000 \ln \left(2\right)^{2}-40040000 \ln \left(2\right)+18200000\right) x^{12}+\left(28000 \ln \left(2\right)^{6}-560000 \ln \left(2\right)^{5}+3920000 \ln \left(2\right)^{4}-13440000 \ln \left(2\right)^{3}+24640000 \ln \left(2\right)^{2}-23296000 \ln \left(2\right)+8960000\right) x^{13}+\left(-5120 \ln \left(2\right)^{7}+71680 \ln \left(2\right)^{6}-430080 \ln \left(2\right)^{5}+1433600 \ln \left(2\right)^{4}-2867200 \ln \left(2\right)^{3}+3440640 \ln \left(2\right)^{2}-2293760 \ln \left(2\right)+655360\right) x^{15}+\left(-1600 \ln \left(2\right)^{7}+67200 \ln \left(2\right)^{6}-672000 \ln \left(2\right)^{5}+3136000 \ln \left(2\right)^{4}-8064000 \ln \left(2\right)^{3}+11827200 \ln \left(2\right)^{2}-9318400 \ln \left(2\right)+3072000\right) x^{14}+\left(256 \ln \left(2\right)^{8}-4096 \ln \left(2\right)^{7}+28672 \ln \left(2\right)^{6}-114688 \ln \left(2\right)^{5}+286720 \ln \left(2\right)^{4}-458752 \ln \left(2\right)^{3}+458752 \ln \left(2\right)^{2}-262144 \ln \left(2\right)+65536\right) x^{16}+\frac{30517578125 x}{33554432}}{x^{32}}$&$454$\\ risch&$\frac{\left(-687194767360 \ln \left(2\right)^{7}+9620726743040 \ln \left(2\right)^{6}-57724360458240 \ln \left(2\right)^{5}+192414534860800 \ln \left(2\right)^{4}-384829069721600 \ln \left(2\right)^{3}+461794883665920 \ln \left(2\right)^{2}-307863255777280 \ln \left(2\right)+87960930222080\right) x^{15}+\left(34359738368 \ln \left(2\right)^{8}-549755813888 \ln \left(2\right)^{7}+3848290697216 \ln \left(2\right)^{6}-15393162788864 \ln \left(2\right)^{5}+38482906972160 \ln \left(2\right)^{4}-61572651155456 \ln \left(2\right)^{3}+61572651155456 \ln \left(2\right)^{2}-35184372088832 \ln \left(2\right)+8796093022208\right) x^{16}+\frac{152587890625}{32}+122070312500 x +\left(-48828125000 \ln \left(2\right)+1464843750000\right) x^{2}+\left(-1093750000000 \ln \left(2\right)+10937500000000\right) x^{3}+\left(218750000000 \ln \left(2\right)^{2}-11375000000000 \ln \left(2\right)+56875000000000\right) x^{4}+\left(4200000000000 \ln \left(2\right)^{2}-72800000000000 \ln \left(2\right)+218400000000000\right) x^{5}+\left(-560000000000 \ln \left(2\right)^{3}+36960000000000 \ln \left(2\right)^{2}-320320000000000 \ln \left(2\right)+640640000000000\right) x^{6}+\left(-8960000000000 \ln \left(2\right)^{3}+197120000000000 \ln \left(2\right)^{2}-1025024000000000 \ln \left(2\right)+1464320000000000\right) x^{7}+\left(896000000000 \ln \left(2\right)^{4}-64512000000000 \ln \left(2\right)^{3}+709632000000000 \ln \left(2\right)^{2}-2460057600000000 \ln \left(2\right)+2635776000000000\right) x^{8}+\left(11468800000000 \ln \left(2\right)^{4}-275251200000000 \ln \left(2\right)^{3}+1816657920000000 \ln \left(2\right)^{2}-4498391040000000 \ln \left(2\right)+3748659200000000\right) x^{9}+\left(-917504000000 \ln \left(2\right)^{5}+64225280000000 \ln \left(2\right)^{4}-770703360000000 \ln \left(2\right)^{3}+3391094784000000 \ln \left(2\right)^{2}-6297747456000000 \ln \left(2\right)+4198498304000000\right) x^{10}+\left(-8808038400000 \ln \left(2\right)^{5}+205520896000000 \ln \left(2\right)^{4}-1479750451200000 \ln \left(2\right)^{3}+4650644275200000 \ln \left(2\right)^{2}-6717597286400000 \ln \left(2\right)+3664143974400000\right) x^{11}+\left(587202560000 \ln \left(2\right)^{6}-35232153600000 \ln \left(2\right)^{5}+411041792000000 \ln \left(2\right)^{4}-1973000601600000 \ln \left(2\right)^{3}+4650644275200000 \ln \left(2\right)^{2}-5374077829120000 \ln \left(2\right)+2442762649600000\right) x^{12}+\left(3758096384000 \ln \left(2\right)^{6}-75161927680000 \ln \left(2\right)^{5}+526133493760000 \ln \left(2\right)^{4}-1803886264320000 \ln \left(2\right)^{3}+3307124817920000 \ln \left(2\right)^{2}-3126736191488000 \ln \left(2\right)+1202590842880000\right) x^{13}+\left(-214748364800 \ln \left(2\right)^{7}+9019431321600 \ln \left(2\right)^{6}-90194313216000 \ln \left(2\right)^{5}+420906795008000 \ln \left(2\right)^{4}-1082331758592000 \ln \left(2\right)^{3}+1587419912601600 \ln \left(2\right)^{2}-1250694476595200 \ln \left(2\right)+412316860416000\right) x^{14}}{134217728 x^{32}}$&$455$\\ default&$-\frac{3865470566400 \ln \left(2\right)^{7}-162349763788800 \ln \left(2\right)^{6}+1623497637888000 \ln \left(2\right)^{5}-7576322310144000 \ln \left(2\right)^{4}+19481971654656000 \ln \left(2\right)^{3}-28573558426828800 \ln \left(2\right)^{2}+22512500578713600 \ln \left(2\right)-7421703487488000}{2415919104 x^{18}}-\frac{14560000000000 \ln \left(2\right)^{3}-960960000000000 \ln \left(2\right)^{2}+8328320000000000 \ln \left(2\right)-16656640000000000}{3489660928 x^{26}}-\frac{-549755813888 \ln \left(2\right)^{8}+8796093022208 \ln \left(2\right)^{7}-61572651155456 \ln \left(2\right)^{6}+246290604621824 \ln \left(2\right)^{5}-615726511554560 \ln \left(2\right)^{4}+985162418487296 \ln \left(2\right)^{3}-985162418487296 \ln \left(2\right)^{2}+562949953421312 \ln \left(2\right)-140737488355328}{2147483648 x^{16}}-\frac{31718750000000 \ln \left(2\right)-317187500000000}{3892314112 x^{29}}-\frac{224000000000000 \ln \left(2\right)^{3}-4928000000000000 \ln \left(2\right)^{2}+25625600000000000 \ln \left(2\right)-36608000000000000}{3355443200 x^{25}}-\frac{1464843750000 \ln \left(2\right)-43945312500000}{4026531840 x^{30}}-\frac{-21504000000000 \ln \left(2\right)^{4}+1548288000000000 \ln \left(2\right)^{3}-17031168000000000 \ln \left(2\right)^{2}+59041382400000000 \ln \left(2\right)-63258624000000000}{3221225472 x^{24}}-\frac{184968806400000 \ln \left(2\right)^{5}-4315938816000000 \ln \left(2\right)^{4}+31074759475200000 \ln \left(2\right)^{3}-97663529779200000 \ln \left(2\right)^{2}+141069543014400000 \ln \left(2\right)-76947023462400000}{2818572288 x^{21}}-\frac{-11744051200000 \ln \left(2\right)^{6}+704643072000000 \ln \left(2\right)^{5}-8220835840000000 \ln \left(2\right)^{4}+39460012032000000 \ln \left(2\right)^{3}-93012885504000000 \ln \left(2\right)^{2}+107481556582400000 \ln \left(2\right)-48855252992000000}{2684354560 x^{20}}-\frac{-263782400000000 \ln \left(2\right)^{4}+6330777600000000 \ln \left(2\right)^{3}-41783132160000000 \ln \left(2\right)^{2}+103462993920000000 \ln \left(2\right)-86219161600000000}{3087007744 x^{23}}-\frac{20185088000000 \ln \left(2\right)^{5}-1412956160000000 \ln \left(2\right)^{4}+16955473920000000 \ln \left(2\right)^{3}-74604085248000000 \ln \left(2\right)^{2}+138550444032000000 \ln \left(2\right)-92366962688000000}{2952790016 x^{22}}-\frac{11682311045120 \ln \left(2\right)^{7}-163552354631680 \ln \left(2\right)^{6}+981314127790080 \ln \left(2\right)^{5}-3271047092633600 \ln \left(2\right)^{4}+6542094185267200 \ln \left(2\right)^{3}-7850513022320640 \ln \left(2\right)^{2}+5233675348213760 \ln \left(2\right)-1495335813775360}{2281701376 x^{17}}-\frac{-71403831296000 \ln \left(2\right)^{6}+1428076625920000 \ln \left(2\right)^{5}-9996536381440000 \ln \left(2\right)^{4}+34273839022080000 \ln \left(2\right)^{3}-62835371540480000 \ln \left(2\right)^{2}+59407987638272000 \ln \left(2\right)-22849226014720000}{2550136832 x^{19}}-\frac{-113400000000000 \ln \left(2\right)^{2}+1965600000000000 \ln \left(2\right)-5896800000000000}{3623878656 x^{27}}-\frac{-6125000000000 \ln \left(2\right)^{2}+318500000000000 \ln \left(2\right)-1592500000000000}{3758096384 x^{28}}+\frac{152587890625}{4294967296 x^{32}}+\frac{30517578125}{33554432 x^{31}}$&$471$\\ gosper&$\frac{152587890625+3906250000000 x -17592186044416 \ln \left(2\right)^{7} x^{16}-21990232555520 \ln \left(2\right)^{7} x^{15}+123145302310912 \ln \left(2\right)^{6} x^{16}-6871947673600 \ln \left(2\right)^{7} x^{14}+307863255777280 \ln \left(2\right)^{6} x^{15}-492581209243648 \ln \left(2\right)^{5} x^{16}+288621802291200 \ln \left(2\right)^{6} x^{14}-1847179534663680 \ln \left(2\right)^{5} x^{15}+1231453023109120 \ln \left(2\right)^{4} x^{16}+120259084288000 \ln \left(2\right)^{6} x^{13}-2886218022912000 \ln \left(2\right)^{5} x^{14}+6157265115545600 \ln \left(2\right)^{4} x^{15}-1970324836974592 \ln \left(2\right)^{3} x^{16}+18790481920000 \ln \left(2\right)^{6} x^{12}-2405181685760000 \ln \left(2\right)^{5} x^{13}+13469017440256000 \ln \left(2\right)^{4} x^{14}-12314530231091200 \ln \left(2\right)^{3} x^{15}+1970324836974592 \ln \left(2\right)^{2} x^{16}-1127428915200000 \ln \left(2\right)^{5} x^{12}+16836271800320000 \ln \left(2\right)^{4} x^{13}-34634616274944000 \ln \left(2\right)^{3} x^{14}+14777436277309440 \ln \left(2\right)^{2} x^{15}-1125899906842624 \ln \left(2\right) x^{16}-281857228800000 \ln \left(2\right)^{5} x^{11}-57724360458240000 \ln \left(2\right)^{3} x^{13}+50797437203251200 \ln \left(2\right)^{2} x^{14}-9851624184872960 \ln \left(2\right) x^{15}+6576668672000000 \ln \left(2\right)^{4} x^{11}-63136019251200000 \ln \left(2\right)^{3} x^{12}+105827994173440000 \ln \left(2\right)^{2} x^{13}-40022223251046400 \ln \left(2\right) x^{14}+2055208960000000 \ln \left(2\right)^{4} x^{10}-47352014438400000 \ln \left(2\right)^{3} x^{11}+148820616806400000 \ln \left(2\right)^{2} x^{12}-100055558127616000 \ln \left(2\right) x^{13}-24662507520000000 \ln \left(2\right)^{3} x^{10}+148820616806400000 \ln \left(2\right)^{2} x^{11}-171970490531840000 \ln \left(2\right) x^{12}-8808038400000000 \ln \left(2\right)^{3} x^{9}+108515033088000000 \ln \left(2\right)^{2} x^{10}-214963113164800000 \ln \left(2\right) x^{11}+58133053440000000 \ln \left(2\right)^{2} x^{9}-201527918592000000 \ln \left(2\right) x^{10}+22708224000000000 \ln \left(2\right)^{2} x^{8}-143948513280000000 \ln \left(2\right) x^{9}-17920000000000 x^{6} \ln \left(2\right)^{3}+1182720000000000 x^{6} \ln \left(2\right)^{2}-29360128000000 x^{10} \ln \left(2\right)^{5}+367001600000000 x^{9} \ln \left(2\right)^{4}-2064384000000000 x^{8} \ln \left(2\right)^{3}+117252607180800000 x^{11}+78168404787200000 x^{12}+38482906972160000 x^{13}+13194139533312000 x^{14}+281474976710656 x^{16}+2814749767106560 x^{15}+46858240000000000 x^{7}+84344832000000000 x^{8}+134351945728000000 x^{10}+119957094400000000 x^{9}+20500480000000000 x^{6}+6988800000000000 x^{5}+1820000000000000 x^{4}+350000000000000 x^{3}+46875000000000 x^{2}+1099511627776 x^{16} \ln \left(2\right)^{8}-78721843200000000 x^{8} \ln \left(2\right)+13153337344000000 x^{12} \ln \left(2\right)^{4}+134400000000000 x^{5} \ln \left(2\right)^{2}+6307840000000000 x^{7} \ln \left(2\right)^{2}-32800768000000000 x^{7} \ln \left(2\right)-286720000000000 x^{7} \ln \left(2\right)^{3}+7000000000000 x^{4} \ln \left(2\right)^{2}-364000000000000 x^{4} \ln \left(2\right)-2329600000000000 x^{5} \ln \left(2\right)-10250240000000000 x^{6} \ln \left(2\right)-1562500000000 x^{2} \ln \left(2\right)-35000000000000 x^{3} \ln \left(2\right)+28672000000000 x^{8} \ln \left(2\right)^{4}}{4294967296 x^{32}}$&$632$\\ \hline \end{longtable}"," ",0,"(152587890625/4294967296+(-8544921875/1048576*ln(2)+42724609375/524288)*x^3+(-6103515625/16777216*ln(2)+91552734375/8388608)*x^2+(1025390625/32768*ln(2)^2-4443359375/8192*ln(2)+13330078125/8192)*x^5+(1708984375/1048576*ln(2)^2-22216796875/262144*ln(2)+111083984375/262144)*x^4+(-68359375/1024*ln(2)^3+751953125/512*ln(2)^2-1955078125/256*ln(2)+1396484375/128)*x^7+(-68359375/16384*ln(2)^3+2255859375/8192*ln(2)^2-9775390625/4096*ln(2)+9775390625/2048)*x^6+(2734375/32*ln(2)^4-8203125/4*ln(2)^3+54140625/4*ln(2)^2-33515625*ln(2)+55859375/2)*x^9+(13671875/2048*ln(2)^4-123046875/256*ln(2)^3+1353515625/256*ln(2)^2-1173046875/64*ln(2)+2513671875/128)*x^8+(-65625*ln(2)^5+1531250*ln(2)^4-11025000*ln(2)^3+34650000*ln(2)^2-50050000*ln(2)+27300000)*x^11+(-109375/16*ln(2)^5+3828125/8*ln(2)^4-11484375/2*ln(2)^3+25265625*ln(2)^2-46921875*ln(2)+31281250)*x^10+(4375*ln(2)^6-262500*ln(2)^5+3062500*ln(2)^4-14700000*ln(2)^3+34650000*ln(2)^2-40040000*ln(2)+18200000)*x^12+(28000*ln(2)^6-560000*ln(2)^5+3920000*ln(2)^4-13440000*ln(2)^3+24640000*ln(2)^2-23296000*ln(2)+8960000)*x^13+(-5120*ln(2)^7+71680*ln(2)^6-430080*ln(2)^5+1433600*ln(2)^4-2867200*ln(2)^3+3440640*ln(2)^2-2293760*ln(2)+655360)*x^15+(-1600*ln(2)^7+67200*ln(2)^6-672000*ln(2)^5+3136000*ln(2)^4-8064000*ln(2)^3+11827200*ln(2)^2-9318400*ln(2)+3072000)*x^14+(256*ln(2)^8-4096*ln(2)^7+28672*ln(2)^6-114688*ln(2)^5+286720*ln(2)^4-458752*ln(2)^3+458752*ln(2)^2-262144*ln(2)+65536)*x^16+30517578125/33554432*x)/x^32","B"
6916,1,37,28,0.074000," ","int(((-3*x^8+25*x^6)*ln(x)^2+(-2*x^8+10*x^6)*ln(x)+7*x^4-25*x^2+100)/(x^6-10*x^4+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{5} \ln \left(x \right)^{2}}{x^{2}-5}-\frac{7 x^{2}-20}{x \left(x^{2}-5\right)}$&$37$\\ \hline \end{longtable}"," ",0,"-x^5/(x^2-5)*ln(x)^2-(7*x^2-20)/x/(x^2-5)","A"
6917,1,24,22,0.022000," ","int((ln(x)+4*x^3+6*x^2-6*x-4)*exp(x*ln(x)+x^4+2*x^3-3*x^2-5*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{x \ln \left(x \right)+x^{4}+2 x^{3}-3 x^{2}-5 x +9}$&$24$\\ default&${\mathrm e}^{x \ln \left(x \right)+x^{4}+2 x^{3}-3 x^{2}-5 x +9}$&$24$\\ norman&${\mathrm e}^{x \ln \left(x \right)+x^{4}+2 x^{3}-3 x^{2}-5 x +9}$&$24$\\ risch&$x^{x} {\mathrm e}^{x^{4}+2 x^{3}-3 x^{2}-5 x +9}$&$24$\\ \hline \end{longtable}"," ",0,"exp(x*ln(x)+x^4+2*x^3-3*x^2-5*x+9)","A"
6918,1,36,24,0.095000," ","int(((4*x-3)*exp(1/4*(16*x^2-24*x+9)/x^2/exp(1))^2+(3-4*x)*exp(1/4*(16*x^2-24*x+9)/x^2/exp(1)))/x^3/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{\left(4 x -3\right)^{2} {\mathrm e}^{-1}}{2 x^{2}}}}{3}-\frac{2 \,{\mathrm e}^{\frac{\left(4 x -3\right)^{2} {\mathrm e}^{-1}}{4 x^{2}}}}{3}$&$36$\\ norman&$\frac{\frac{x^{2} {\mathrm e}^{\frac{\left(16 x^{2}-24 x +9\right) {\mathrm e}^{-1}}{2 x^{2}}}}{3}-\frac{2 \,{\mathrm e}^{\frac{\left(16 x^{2}-24 x +9\right) {\mathrm e}^{-1}}{4 x^{2}}} x^{2}}{3}}{x^{2}}$&$58$\\ default&${\mathrm e}^{-1} \left(-\frac{2 \,{\mathrm e} \,{\mathrm e}^{4 \,{\mathrm e}^{-1}-\frac{6 \,{\mathrm e}^{-1}}{x}+\frac{9 \,{\mathrm e}^{-1}}{4 x^{2}}}}{3}+\frac{{\mathrm e} \,{\mathrm e}^{\frac{9 \,{\mathrm e}^{-1}}{2 x^{2}}-\frac{12 \,{\mathrm e}^{-1}}{x}+8 \,{\mathrm e}^{-1}}}{3}\right)$&$59$\\ derivativedivides&$-{\mathrm e}^{-1} \left(\frac{2 \,{\mathrm e} \,{\mathrm e}^{4 \,{\mathrm e}^{-1}-\frac{6 \,{\mathrm e}^{-1}}{x}+\frac{9 \,{\mathrm e}^{-1}}{4 x^{2}}}}{3}-\frac{{\mathrm e} \,{\mathrm e}^{\frac{9 \,{\mathrm e}^{-1}}{2 x^{2}}-\frac{12 \,{\mathrm e}^{-1}}{x}+8 \,{\mathrm e}^{-1}}}{3}\right)$&$60$\\ \hline \end{longtable}"," ",0,"1/3*exp(1/2*(4*x-3)^2*exp(-1)/x^2)-2/3*exp(1/4*(4*x-3)^2*exp(-1)/x^2)","A"
6919,1,56,18,0.056000," ","int((exp(exp(5)*exp(x))^5+(-4*x^3*exp(5)*exp(x)+7*x^2)*exp(exp(5)*exp(x))^4)/(exp(exp(5)*exp(x))^5-5*x^2*exp(exp(5)*exp(x))^4+10*x^4*exp(exp(5)*exp(x))^3-10*x^6*exp(exp(5)*exp(x))^2+5*x^8*exp(exp(5)*exp(x))-x^10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{\left(x^{6}-4 x^{4} {\mathrm e}^{{\mathrm e}^{5+x}}+6 x^{2} {\mathrm e}^{2 \,{\mathrm e}^{5+x}}-4 \,{\mathrm e}^{3 \,{\mathrm e}^{5+x}}\right) x^{3}}{\left(x^{2}-{\mathrm e}^{{\mathrm e}^{5+x}}\right)^{4}}$&$56$\\ \hline \end{longtable}"," ",0,"x-(x^6-4*x^4*exp(exp(5+x))+6*x^2*exp(2*exp(5+x))-4*exp(3*exp(5+x)))*x^3/(x^2-exp(exp(5+x)))^4","B"
6920,1,223,22,0.192000," ","int((((16*x^3+144*x^2+444*x+468)*exp(x)*ln((4*x^2+24*x+39)/(x^2+6*x+9))+(16*x^3+144*x^2+444*x+468)*exp(2)*exp(x))*exp(exp(x))-72)/((4*x^3+36*x^2+111*x+117)*ln((4*x^2+24*x+39)/(x^2+6*x+9))+(4*x^3+36*x^2+111*x+117)*exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$12 \ln \left(\ln \left(x^{2}+6 x +\frac{39}{4}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{\left(3+x \right)^{2}}\right) \mathrm{csgn}\left(i \left(x^{2}+6 x +\frac{39}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+6 x +\frac{39}{4}\right)}{\left(3+x \right)^{2}}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{\left(3+x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+6 x +\frac{39}{4}\right)}{\left(3+x \right)^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(3+x \right)\right)^{2} \mathrm{csgn}\left(i \left(3+x \right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(3+x \right)\right) \mathrm{csgn}\left(i \left(3+x \right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(3+x \right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i \left(x^{2}+6 x +\frac{39}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+6 x +\frac{39}{4}\right)}{\left(3+x \right)^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+6 x +\frac{39}{4}\right)}{\left(3+x \right)^{2}}\right)^{3}+2 i {\mathrm e}^{2}+4 i \ln \left(2\right)-4 i \ln \left(3+x \right)\right)}{2}\right)+4 \,{\mathrm e}^{{\mathrm e}^{x}}$&$223$\\ \hline \end{longtable}"," ",0,"12*ln(ln(x^2+6*x+39/4)-1/2*I*(Pi*csgn(I/(3+x)^2)*csgn(I*(x^2+6*x+39/4))*csgn(I/(3+x)^2*(x^2+6*x+39/4))-Pi*csgn(I/(3+x)^2)*csgn(I/(3+x)^2*(x^2+6*x+39/4))^2-Pi*csgn(I*(3+x))^2*csgn(I*(3+x)^2)+2*Pi*csgn(I*(3+x))*csgn(I*(3+x)^2)^2-Pi*csgn(I*(3+x)^2)^3-Pi*csgn(I*(x^2+6*x+39/4))*csgn(I/(3+x)^2*(x^2+6*x+39/4))^2+Pi*csgn(I/(3+x)^2*(x^2+6*x+39/4))^3+2*I*exp(2)+4*I*ln(2)-4*I*ln(3+x)))+4*exp(exp(x))","C"
6921,1,16,16,0.017000," ","int(1/2*(-2*exp(x)*x-4*x^2-x+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}-\frac{x}{2}+\ln \left(x \right)-{\mathrm e}^{x}$&$16$\\ norman&$-x^{2}-\frac{x}{2}+\ln \left(x \right)-{\mathrm e}^{x}$&$16$\\ risch&$-x^{2}-\frac{x}{2}+\ln \left(x \right)-{\mathrm e}^{x}$&$16$\\ \hline \end{longtable}"," ",0,"-x^2-1/2*x+ln(x)-exp(x)","A"
6922,1,127,29,0.090000," ","int(((-x*ln(2)*ln(x)+(-x^2+x)*ln(2))*ln(x*ln(x)+x^2-x)+(2*(-x^2+x)*ln(2)^2+(-3*x^2+3*x+1)*ln(2))*ln(x)+2*(-x^3+2*x^2-x)*ln(2)^2+(-3*x^3+6*x^2-x)*ln(2))/(2*x*exp(x)*ln(x)+(2*x^2-2*x)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(2\right) {\mathrm e}^{-x} \ln \left(-1+\ln \left(x \right)+x \right)}{2}+\frac{\ln \left(2\right) \left(-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(-1+\ln \left(x \right)+x \right)\right) \mathrm{csgn}\left(i x \left(-1+\ln \left(x \right)+x \right)\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(-1+\ln \left(x \right)+x \right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(-1+\ln \left(x \right)+x \right)\right) \mathrm{csgn}\left(i x \left(-1+\ln \left(x \right)+x \right)\right)^{2}-i \pi  \mathrm{csgn}\left(i x \left(-1+\ln \left(x \right)+x \right)\right)^{3}+4 x \ln \left(2\right)+6 x +2 \ln \left(x \right)\right) {\mathrm e}^{-x}}{4}$&$127$\\ \hline \end{longtable}"," ",0,"1/2*ln(2)*exp(-x)*ln(-1+ln(x)+x)+1/4*ln(2)*(-I*Pi*csgn(I*x)*csgn(I*(-1+ln(x)+x))*csgn(I*x*(-1+ln(x)+x))+I*Pi*csgn(I*x)*csgn(I*x*(-1+ln(x)+x))^2+I*Pi*csgn(I*(-1+ln(x)+x))*csgn(I*x*(-1+ln(x)+x))^2-I*Pi*csgn(I*x*(-1+ln(x)+x))^3+4*x*ln(2)+6*x+2*ln(x))*exp(-x)","C"
6923,1,29,26,0.081000," ","int((4*x^2*ln(2)*ln(x)*ln(ln(x))^2+(-8*exp(exp(5))-4*x^2*ln(2))*ln(ln(x))+16*x^2*ln(2)*ln(x))/(x*exp(exp(5))*ln(x)*ln(ln(x))^4+8*x*exp(exp(5))*ln(x)*ln(ln(x))^2+16*x*exp(exp(5))*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \left(x^{2} \ln \left(2\right)+2 \,{\mathrm e}^{{\mathrm e}^{5}}\right) {\mathrm e}^{-{\mathrm e}^{5}}}{4+\ln \left(\ln \left(x \right)\right)^{2}}$&$29$\\ \hline \end{longtable}"," ",0,"2*(x^2*ln(2)+2*exp(exp(5)))*exp(-exp(5))/(4+ln(ln(x))^2)","A"
6924,1,15,15,0.027000," ","int(192/390625*x^11*ln(3)^4+2*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{16 x^{12} \ln \left(3\right)^{4}}{390625}+x^{2}+x$&$15$\\ norman&$\frac{16 x^{12} \ln \left(3\right)^{4}}{390625}+x^{2}+x$&$15$\\ risch&$\frac{16 x^{12} \ln \left(3\right)^{4}}{390625}+x^{2}+x$&$15$\\ gosper&$\frac{x \left(16 x^{11} \ln \left(3\right)^{4}+390625 x +390625\right)}{390625}$&$18$\\ \hline \end{longtable}"," ",0,"16/390625*x^12*ln(3)^4+x^2+x","A"
6925,1,28,27,0.053000," ","int(1/15*(x^4+20*x^3+10*x^2)*exp(1/5*(x^2-10)/x)+5*x^2+6*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x^{2}+\frac{5 x^{3}}{3}+\frac{{\mathrm e}^{\frac{x^{2}-10}{5 x}} x^{4}}{3}$&$28$\\ norman&$3 x^{2}+\frac{5 x^{3}}{3}+\frac{{\mathrm e}^{\frac{x^{2}-10}{5 x}} x^{4}}{3}$&$28$\\ risch&$3 x^{2}+\frac{5 x^{3}}{3}+\frac{{\mathrm e}^{\frac{x^{2}-10}{5 x}} x^{4}}{3}$&$28$\\ \hline \end{longtable}"," ",0,"3*x^2+5/3*x^3+1/3*exp(1/5*(x^2-10)/x)*x^4","A"
6926,1,20,20,0.056000," ","int(((ln(x)*exp(3)-exp(3)-4*x)*exp((exp(3)+4*x)*ln(x)/x)+x^2)*exp(exp((exp(3)+4*x)*ln(x)/x)-x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x^{\frac{{\mathrm e}^{3}+4 x}{x}}-x}$&$20$\\ \hline \end{longtable}"," ",0,"-exp(x^((exp(3)+4*x)/x)-x)","A"
6927,1,16,20,0.036000," ","int((-12*x^2+12)/(16*x^4-1160*x^3+21057*x^2-1160*x+16)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{-1} x}{4 \left(x^{2}-\frac{145}{4} x +1\right)}$&$16$\\ default&$\frac{3 \,{\mathrm e}^{-1} x}{4 \left(x^{2}-\frac{145}{4} x +1\right)}$&$18$\\ gosper&$\frac{3 x \,{\mathrm e}^{-1}}{4 x^{2}-145 x +4}$&$20$\\ norman&$\frac{3 x \,{\mathrm e}^{-1}}{4 x^{2}-145 x +4}$&$20$\\ \hline \end{longtable}"," ",0,"3/4*exp(-1)*x/(x^2-145/4*x+1)","A"
6928,1,40,26,0.135000," ","int((8*exp(x)*x+8*x-8)*exp(((exp(5)+4*x^2*exp(1)+20*x^2)*exp(x)-8*x*exp(1)-40*x)/(exp(1)+5)/exp(x))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{\left(\left({\mathrm e}^{5}+4 x^{2} {\mathrm e}+20 x^{2}\right) {\mathrm e}^{x}-8 x \,{\mathrm e}-40 x \right) {\mathrm e}^{-x}}{{\mathrm e}+5}}$&$40$\\ risch&${\mathrm e}^{-\frac{\left(-20 \,{\mathrm e}^{x} x^{2}-4 x^{2} {\mathrm e}^{x +1}+8 x \,{\mathrm e}-{\mathrm e}^{5+x}+40 x \right) {\mathrm e}^{-x}}{{\mathrm e}+5}}$&$45$\\ \hline \end{longtable}"," ",0,"exp(((exp(5)+4*x^2*exp(1)+20*x^2)*exp(x)-8*x*exp(1)-40*x)/(exp(1)+5)/exp(x))","A"
6929,1,28,21,0.125000," ","int(((5*x^4+x^2)*ln((5*x^2+1)/x^2)^2+(260*x^4+47*x^2-1)*ln((5*x^2+1)/x^2)+3380*x^4+546*x^2-24)/((5*x^4+x^2)*exp(4)*ln((5*x^2+1)/x^2)^2+(260*x^4+52*x^2)*exp(4)*ln((5*x^2+1)/x^2)+(3380*x^4+676*x^2)*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-4}+\frac{{\mathrm e}^{-4}}{x \left(\ln \left(\frac{5 x^{2}+1}{x^{2}}\right)+26\right)}$&$28$\\ norman&$\frac{{\mathrm e}^{-4}+x^{2} {\mathrm e}^{-4} \ln \left(\frac{5 x^{2}+1}{x^{2}}\right)+26 x^{2} {\mathrm e}^{-4}}{x \left(\ln \left(\frac{5 x^{2}+1}{x^{2}}\right)+26\right)}$&$55$\\ \hline \end{longtable}"," ",0,"x*exp(-4)+1/x*exp(-4)/(ln((5*x^2+1)/x^2)+26)","A"
6930,1,22,22,0.092000," ","int(((-160*x^5-160*x^3-40*x)*exp(x^2)^4-80*x)/(x^4+2*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-20 x^{2} {\mathrm e}^{4 x^{2}}+40}{x^{2}+1}$&$22$\\ risch&$\frac{40}{x^{2}+1}-\frac{20 x^{2} {\mathrm e}^{4 x^{2}}}{x^{2}+1}$&$29$\\ \hline \end{longtable}"," ",0,"(-20*x^2*exp(x^2)^4+40)/(x^2+1)","A"
6931,1,35,28,0.025000," ","int(((-50*x^2+125*x)*ln(x)^4+(900*x^2-2500*x-300)*ln(x)^3+(-6200*x^2+18500*x+3600)*ln(x)^2+(19400*x^2-61000*x-15000)*ln(x)-23350*x^2+76375*x+21600)/(3*x*ln(x)^8-96*x*ln(x)^7+1368*x*ln(x)^6-11328*x*ln(x)^5+59586*x*ln(x)^4-203808*x*ln(x)^3+442632*x*ln(x)^2-558144*x*ln(x)+312987*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{25 \left(x^{2}-5 x -3\right)}{3 \left(\ln \left(x \right)^{4}-16 \ln \left(x \right)^{3}+100 \ln \left(x \right)^{2}-288 \ln \left(x \right)+323\right)}$&$35$\\ \hline \end{longtable}"," ",0,"-25/3*(x^2-5*x-3)/(ln(x)^4-16*ln(x)^3+100*ln(x)^2-288*ln(x)+323)","A"
6932,1,11,12,0.028000," ","int(250*x*exp(25*x^2/exp(1))/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \,{\mathrm e}^{25 x^{2} {\mathrm e}^{-1}}$&$11$\\ gosper&$5 \,{\mathrm e}^{25 x^{2} {\mathrm e}^{-1}}$&$13$\\ derivativedivides&$5 \,{\mathrm e}^{25 x^{2} {\mathrm e}^{-1}}$&$13$\\ default&$5 \,{\mathrm e}^{25 x^{2} {\mathrm e}^{-1}}$&$13$\\ norman&$5 \,{\mathrm e}^{25 x^{2} {\mathrm e}^{-1}}$&$13$\\ meijerg&$-5+5 \,{\mathrm e}^{25 x^{2} {\mathrm e}^{-1}}$&$13$\\ \hline \end{longtable}"," ",0,"5*exp(25*x^2*exp(-1))","A"
6933,1,24,19,0.036000," ","int(((64*x^3+2400*x^2+30000*x+125000)*exp(x)^2-7200*x)/(8*x^3+300*x^2+3750*x+15625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{900 x +5625}{x^{2}+25 x +\frac{625}{4}}+4 \,{\mathrm e}^{2 x}$&$24$\\ default&$-\frac{22500}{\left(2 x +25\right)^{2}}+\frac{1800}{2 x +25}+4 \,{\mathrm e}^{2 x}$&$26$\\ norman&$\frac{3600 x +2500 \,{\mathrm e}^{2 x}+400 x \,{\mathrm e}^{2 x}+16 \,{\mathrm e}^{2 x} x^{2}+22500}{\left(2 x +25\right)^{2}}$&$36$\\ \hline \end{longtable}"," ",0,"(900*x+5625)/(x^2+25*x+625/4)+4*exp(2*x)","A"
6934,1,23,22,0.032000," ","int((((-5*exp(exp(6))-5*x)*ln(x)-5*x)*exp(exp(exp(6))/x)-35*x*ln(x)+15*x^2-35*x)/(x*exp(exp(exp(6))/x)^2+(-6*x^2+14*x)*exp(exp(exp(6))/x)+9*x^3-42*x^2+49*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x \ln \left(x \right)}{3 x -7-{\mathrm e}^{\frac{{\mathrm e}^{{\mathrm e}^{6}}}{x}}}$&$23$\\ \hline \end{longtable}"," ",0,"5*x/(3*x-7-exp(exp(exp(6))/x))*ln(x)","A"
6935,1,13,20,0.027000," ","int(1/4294967296*(21474836480*exp(1)-5*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{5 \ln \left(x \right)}{4294967296}-\frac{5 \,{\mathrm e}}{x}$&$13$\\ norman&$-\frac{5 \ln \left(x \right)}{4294967296}-\frac{5 \,{\mathrm e}}{x}$&$13$\\ risch&$-\frac{5 \ln \left(x \right)}{4294967296}-\frac{5 \,{\mathrm e}}{x}$&$13$\\ \hline \end{longtable}"," ",0,"-5/4294967296*ln(x)-5*exp(1)/x","A"
6936,1,15,21,0.020000," ","int((x*ln(x)-x^3-24*x^2+5*x+12)/(x*ln(x)-x^3+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +12 \ln \left(-\ln \left(x \right)+x^{2}-5\right)$&$15$\\ risch&$x +12 \ln \left(\ln \left(x \right)-x^{2}+5\right)$&$15$\\ \hline \end{longtable}"," ",0,"x+12*ln(-ln(x)+x^2-5)","A"
6937,1,12,13,0.028000," ","int(4/5*exp(x)+exp(5)+51,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left({\mathrm e}^{5}+51\right) x +\frac{4 \,{\mathrm e}^{x}}{5}$&$12$\\ default&$51 x +\frac{4 \,{\mathrm e}^{x}}{5}+x \,{\mathrm e}^{5}$&$13$\\ risch&$51 x +\frac{4 \,{\mathrm e}^{x}}{5}+x \,{\mathrm e}^{5}$&$13$\\ derivativedivides&$\frac{4 \,{\mathrm e}^{x}}{5}+\frac{\left(5 \,{\mathrm e}^{5}+255\right) \ln \left({\mathrm e}^{x}\right)}{5}$&$17$\\ \hline \end{longtable}"," ",0,"(exp(5)+51)*x+4/5*exp(x)","A"
6938,1,26,16,0.030000," ","int(((exp(x)^2+exp(x)-2)*ln(exp(x)+2)+6*exp(x)^2+(x+7)*exp(x)-14)/(exp(x)^3+(-2*x+2)*exp(x)^2+(x^2-4*x)*exp(x)+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}^{x}+2\right)}{x -{\mathrm e}^{x}}+\frac{7}{x -{\mathrm e}^{x}}$&$26$\\ \hline \end{longtable}"," ",0,"1/(x-exp(x))*ln(exp(x)+2)+7/(x-exp(x))","A"
6939,1,155,27,1.240000," ","int((((64*x^4-480*x^3+800*x^2)*ln(10)^4+(320*x^2-800*x)*ln(10)^2)*exp(((-12*x^4+120*x^3-300*x^2)*ln(10)^4+(-128*x^2+640*x)*ln(10)^2-336)/((x^4-10*x^3+25*x^2)*ln(10)^4+(8*x^2-40*x)*ln(10)^2+16))+(x^6-15*x^5+75*x^4-125*x^3)*ln(10)^6+(12*x^4-120*x^3+300*x^2)*ln(10)^4+(48*x^2-240*x)*ln(10)^2+64)/((x^7-15*x^6+75*x^5-125*x^4)*ln(10)^6+(12*x^5-120*x^4+300*x^3)*ln(10)^4+(48*x^3-240*x^2)*ln(10)^2+64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+{\mathrm e}^{-\frac{4 \left(3 x^{2} \ln \left(2\right)^{2}+6 x^{2} \ln \left(2\right) \ln \left(5\right)+3 x^{2} \ln \left(5\right)^{2}-15 x \ln \left(2\right)^{2}-30 x \ln \left(2\right) \ln \left(5\right)-15 x \ln \left(5\right)^{2}+14\right) \left(x^{2} \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right) \ln \left(5\right)+x^{2} \ln \left(5\right)^{2}-5 x \ln \left(2\right)^{2}-10 x \ln \left(2\right) \ln \left(5\right)-5 x \ln \left(5\right)^{2}+6\right)}{\left(x^{2} \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right) \ln \left(5\right)+x^{2} \ln \left(5\right)^{2}-5 x \ln \left(2\right)^{2}-10 x \ln \left(2\right) \ln \left(5\right)-5 x \ln \left(5\right)^{2}+4\right)^{2}}}$&$155$\\ norman&$\frac{\left(25 \ln \left(10\right)^{4}+8 \ln \left(10\right)^{2}\right) x^{2} {\mathrm e}^{\frac{\left(-12 x^{4}+120 x^{3}-300 x^{2}\right) \ln \left(10\right)^{4}+\left(-128 x^{2}+640 x \right) \ln \left(10\right)^{2}-336}{\left(x^{4}-10 x^{3}+25 x^{2}\right) \ln \left(10\right)^{4}+\left(8 x^{2}-40 x \right) \ln \left(10\right)^{2}+16}}+\ln \left(10\right)^{4} x^{4} {\mathrm e}^{\frac{\left(-12 x^{4}+120 x^{3}-300 x^{2}\right) \ln \left(10\right)^{4}+\left(-128 x^{2}+640 x \right) \ln \left(10\right)^{2}-336}{\left(x^{4}-10 x^{3}+25 x^{2}\right) \ln \left(10\right)^{4}+\left(8 x^{2}-40 x \right) \ln \left(10\right)^{2}+16}}-40 \ln \left(10\right)^{2} x \,{\mathrm e}^{\frac{\left(-12 x^{4}+120 x^{3}-300 x^{2}\right) \ln \left(10\right)^{4}+\left(-128 x^{2}+640 x \right) \ln \left(10\right)^{2}-336}{\left(x^{4}-10 x^{3}+25 x^{2}\right) \ln \left(10\right)^{4}+\left(8 x^{2}-40 x \right) \ln \left(10\right)^{2}+16}}-10 \ln \left(10\right)^{4} x^{3} {\mathrm e}^{\frac{\left(-12 x^{4}+120 x^{3}-300 x^{2}\right) \ln \left(10\right)^{4}+\left(-128 x^{2}+640 x \right) \ln \left(10\right)^{2}-336}{\left(x^{4}-10 x^{3}+25 x^{2}\right) \ln \left(10\right)^{4}+\left(8 x^{2}-40 x \right) \ln \left(10\right)^{2}+16}}+16 \,{\mathrm e}^{\frac{\left(-12 x^{4}+120 x^{3}-300 x^{2}\right) \ln \left(10\right)^{4}+\left(-128 x^{2}+640 x \right) \ln \left(10\right)^{2}-336}{\left(x^{4}-10 x^{3}+25 x^{2}\right) \ln \left(10\right)^{4}+\left(8 x^{2}-40 x \right) \ln \left(10\right)^{2}+16}}}{\left(x^{2} \ln \left(10\right)^{2}-5 \ln \left(10\right)^{2} x +4\right)^{2}}+\ln \left(x \right)$&$448$\\ \hline \end{longtable}"," ",0,"ln(x)+exp(-4*(3*x^2*ln(2)^2+6*x^2*ln(2)*ln(5)+3*x^2*ln(5)^2-15*x*ln(2)^2-30*x*ln(2)*ln(5)-15*x*ln(5)^2+14)*(x^2*ln(2)^2+2*x^2*ln(2)*ln(5)+x^2*ln(5)^2-5*x*ln(2)^2-10*x*ln(2)*ln(5)-5*x*ln(5)^2+6)/(x^2*ln(2)^2+2*x^2*ln(2)*ln(5)+x^2*ln(5)^2-5*x*ln(2)^2-10*x*ln(2)*ln(5)-5*x*ln(5)^2+4)^2)","B"
6940,1,32,29,0.039000," ","int((4*x^7+97*x^5-165*x^4+541*x^3-1836*x^2+2370*x-900)/(4*x^7+4*x^6+97*x^5-72*x^4+516*x^3-1440*x^2+900*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\ln \left(x \right)+\frac{-x^{2}-\frac{1}{2} x}{x^{3}+\frac{1}{2} x^{2}+12 x -15}$&$32$\\ risch&$x -\ln \left(x \right)+\frac{-x^{2}-\frac{1}{2} x}{x^{3}+\frac{1}{2} x^{2}+12 x -15}$&$32$\\ norman&$\frac{2 x^{4}-43 x^{3}-559 x +660}{2 x^{3}+x^{2}+24 x -30}-\ln \left(x \right)$&$37$\\ \hline \end{longtable}"," ",0,"x-ln(x)+(-x^2-1/2*x)/(x^3+1/2*x^2+12*x-15)","A"
6941,1,27,27,0.041000," ","int(1/3*((-2*exp(x)^2+1)*ln(x)^2*exp(exp(x)^2-x)+2*x*ln(x)^2+50*x*ln(x)-25*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{3}+\frac{25 x^{2}}{3 \ln \left(x \right)}-\frac{{\mathrm e}^{{\mathrm e}^{2 x}} {\mathrm e}^{-x}}{3}$&$27$\\ risch&$\frac{x^{2}}{3}+\frac{25 x^{2}}{3 \ln \left(x \right)}-\frac{{\mathrm e}^{{\mathrm e}^{2 x}-x}}{3}$&$27$\\ \hline \end{longtable}"," ",0,"1/3*x^2+25/3*x^2/ln(x)-1/3*exp(exp(x)^2)/exp(x)","A"
6942,1,32,32,0.050000," ","int((12*x^4*ln(x)^2+(24*x^5+108*x^4+120*x^3-8*x^2)*ln(x)+12*x^6+108*x^5+363*x^4+536*x^3+268*x^2-60*x+5)/(4*x^4*ln(x)^2+(8*x^5+36*x^4+40*x^3-4*x^2)*ln(x)+4*x^6+36*x^5+121*x^4+176*x^3+82*x^2-20*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x -\frac{2 x}{2 x^{2} \ln \left(x \right)+2 x^{3}+9 x^{2}+10 x -1}$&$32$\\ norman&$\frac{-5 x +27 x^{3}+30 x^{2}+6 x^{4}+6 x^{3} \ln \left(x \right)}{2 x^{2} \ln \left(x \right)+2 x^{3}+9 x^{2}+10 x -1}$&$52$\\ \hline \end{longtable}"," ",0,"3*x-2*x/(2*x^2*ln(x)+2*x^3+9*x^2+10*x-1)","A"
6943,1,16,23,0.051000," ","int((8*x-4)*exp(4)*exp(x)^2/x^2/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \,{\mathrm e}^{4} {\mathrm e}^{2 x}}{\ln \left(3\right) x}$&$16$\\ default&$\frac{4 \,{\mathrm e}^{4} {\mathrm e}^{2 x}}{\ln \left(3\right) x}$&$16$\\ norman&$\frac{4 \,{\mathrm e}^{4} {\mathrm e}^{2 x}}{\ln \left(3\right) x}$&$16$\\ risch&$\frac{4 \,{\mathrm e}^{2 x +4}}{x \ln \left(3\right)}$&$16$\\ meijerg&$\frac{8 \,{\mathrm e}^{4} \left(\ln \left(x \right)+\ln \left(2\right)+i \pi -\ln \left(-2 x \right)-\expIntegralEi \left(1, -2 x \right)\right)}{\ln \left(3\right)}+\frac{8 \,{\mathrm e}^{4} \left(\frac{1}{2 x}+1-\ln \left(x \right)-\ln \left(2\right)-i \pi -\frac{4 x +2}{4 x}+\frac{{\mathrm e}^{2 x}}{2 x}+\ln \left(-2 x \right)+\expIntegralEi \left(1, -2 x \right)\right)}{\ln \left(3\right)}$&$87$\\ \hline \end{longtable}"," ",0,"4*exp(4)*exp(x)^2/ln(3)/x","A"
6944,1,28,21,0.024000," ","int(-exp(5)^2+8*x^3*exp(5)+(2*x-3)*exp(4)-7*x^6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(x^{6}-2 x^{3} {\mathrm e}^{5}+{\mathrm e}^{10}-x \,{\mathrm e}^{4}+3 \,{\mathrm e}^{4}\right)$&$28$\\ risch&$-x \,{\mathrm e}^{10}+2 x^{4} {\mathrm e}^{5}+x^{2} {\mathrm e}^{4}-3 x \,{\mathrm e}^{4}-x^{7}$&$30$\\ default&$-x \,{\mathrm e}^{10}+2 x^{4} {\mathrm e}^{5}+{\mathrm e}^{4} \left(x^{2}-3 x \right)-x^{7}$&$31$\\ norman&$x^{2} {\mathrm e}^{4}+\left(-{\mathrm e}^{10}-3 \,{\mathrm e}^{4}\right) x -x^{7}+2 x^{4} {\mathrm e}^{5}$&$33$\\ \hline \end{longtable}"," ",0,"-x*(x^6-2*x^3*exp(5)+exp(5)^2-x*exp(4)+3*exp(4))","A"
6945,1,34,29,0.976000," ","int(((575*x^2-375*x+75)*exp(x/(3*x-1))-9000*x^5-13125*x^4+11750*x^3-2125*x^2)/((144*x^4-312*x^3+241*x^2-78*x+9)*exp(x/(3*x-1))^2+(-1440*x^6-4080*x^5+13190*x^4-11270*x^3+3810*x^2-450*x)*exp(x/(3*x-1))+3600*x^8+28200*x^7+18025*x^6-136700*x^5+131350*x^4-46500*x^3+5625*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 x}{\left(4 x -3\right) \left(5 x^{2}+25 x -{\mathrm e}^{\frac{x}{3 x -1}}\right)}$&$34$\\ norman&$\frac{75 x^{2}-25 x}{60 x^{4}+235 x^{3}-12 \,{\mathrm e}^{\frac{x}{3 x -1}} x^{2}-310 x^{2}+13 x \,{\mathrm e}^{\frac{x}{3 x -1}}+75 x -3 \,{\mathrm e}^{\frac{x}{3 x -1}}}$&$72$\\ \hline \end{longtable}"," ",0,"25*x/(4*x-3)/(5*x^2+25*x-exp(x/(3*x-1)))","A"
6946,1,21,21,0.662000," ","int(((x^3*exp(exp(2))-4*x^4)*exp(2*x/exp(exp(2)))+3*x^2*exp(exp(2)))/(25*x^3*exp(exp(2))*exp(2*x/exp(exp(2)))^3+75*x^2*exp(exp(2))*exp(2*x/exp(exp(2)))^2+75*x*exp(exp(2))*exp(2*x/exp(exp(2)))+25*exp(exp(2))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}}{25 \left(x \,{\mathrm e}^{2 x \,{\mathrm e}^{-{\mathrm e}^{2}}}+1\right)^{2}}$&$21$\\ risch&$\frac{x^{3}}{25 \left(x \,{\mathrm e}^{2 x \,{\mathrm e}^{-{\mathrm e}^{2}}}+1\right)^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"1/25*x^3/(x*exp(2*x/exp(exp(2)))+1)^2","A"
6947,1,48,27,0.048000," ","int(((-3*x^5-15*x^4+36*x^3+108*x^2-108*x-108)*exp(x)-6*x^5-15*x^4+48*x^3+108*x^2-80*x-108)/((9*x^10-216*x^8+1944*x^6-7776*x^4+11664*x^2)*exp(x)^2+(6*x^11+18*x^10-144*x^9-432*x^8+1320*x^7+3888*x^6-5472*x^5-15552*x^4+8640*x^3+23328*x^2)*exp(x)+x^12+6*x^11-15*x^10-144*x^9+8*x^8+1320*x^7+984*x^6-5472*x^5-6176*x^4+8640*x^3+11664*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x \left(3 \,{\mathrm e}^{x} x^{4}+x^{5}+3 x^{4}-36 \,{\mathrm e}^{x} x^{2}-12 x^{3}-36 x^{2}+108 \,{\mathrm e}^{x}+40 x +108\right)}$&$48$\\ \hline \end{longtable}"," ",0,"1/x/(3*exp(x)*x^4+x^5+3*x^4-36*exp(x)*x^2-12*x^3-36*x^2+108*exp(x)+40*x+108)","A"
6948,1,45,23,0.037000," ","int((-48*x^5*exp(x)^2+(-2*x^6+2*x^5-18*x^3+36*x^2)*exp(x)+2*x^6-3*x^5-18*x^3+72*x^2-324)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-3 x +\frac{81}{x^{4}}-\frac{36}{x^{2}}+\frac{18}{x}-24 \,{\mathrm e}^{2 x}-\frac{18 \,{\mathrm e}^{x}}{x^{2}}-2 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{x}$&$45$\\ risch&$x^{2}-3 x +\frac{18 x^{3}-36 x^{2}+81}{x^{4}}-24 \,{\mathrm e}^{2 x}-\frac{2 \left(x^{3}-2 x^{2}+9\right) {\mathrm e}^{x}}{x^{2}}$&$47$\\ norman&$\frac{81+x^{6}-36 x^{2}+18 x^{3}-3 x^{5}-2 x^{5} {\mathrm e}^{x}-18 \,{\mathrm e}^{x} x^{2}+4 \,{\mathrm e}^{x} x^{4}-24 \,{\mathrm e}^{2 x} x^{4}}{x^{4}}$&$55$\\ \hline \end{longtable}"," ",0,"x^2-3*x+81/x^4-36/x^2+18/x-24*exp(x)^2-18*exp(x)/x^2-2*exp(x)*x+4*exp(x)","A"
6949,1,37,23,0.059000," ","int(((12*x^2+6*x+3)*exp(x+1)*exp(x^2+x)^2+(12*x^3+6*x^2+12*x)*exp(x+1)*exp(x^2+x)+9*x^2*exp(x+1)+5*x-5)/exp(x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x^{3}-5 x \,{\mathrm e}^{-x -1}+3 x \,{\mathrm e}^{2 \left(x +1\right) x}+6 x^{2} {\mathrm e}^{\left(x +1\right) x}$&$37$\\ norman&$\left(-5 x +3 x^{3} {\mathrm e}^{x +1}+6 \,{\mathrm e}^{x +1} {\mathrm e}^{x^{2}+x} x^{2}+3 \,{\mathrm e}^{x +1} {\mathrm e}^{2 x^{2}+2 x} x \right) {\mathrm e}^{-x -1}$&$51$\\ default&$3 x^{3}+5 \,{\mathrm e}^{-1} {\mathrm e}^{-x}+5 \,{\mathrm e}^{-1} \left(-x \,{\mathrm e}^{-x}-{\mathrm e}^{-x}\right)+6 x^{2} {\mathrm e}^{x^{2}+x}+3 x \,{\mathrm e}^{2 x^{2}+2 x}$&$61$\\ \hline \end{longtable}"," ",0,"3*x^3-5*x*exp(-x-1)+3*x*exp(2*(x+1)*x)+6*x^2*exp((x+1)*x)","A"
6950,1,50,30,0.106000," ","int((((2*x^3-x^2-4)*exp(1)*ln(5)^2+(8*x^3-4*x^2-16)*exp(1))*exp(x)+((-2*x^4+8*x^3+x^2+4*x-16)*exp(1)-2*x^3+4)*ln(5)^2+(-8*x^4+32*x^3+4*x^2+16*x-64)*exp(1)-8*x^3+16)/(x^2*exp(1)*exp(x)+(-x^3+4*x^2)*exp(1)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(4+\ln \left(5\right)^{2}\right) x^{3}+4 \ln \left(5\right)^{2}+16}{x}+\left(-\ln \left(5\right)^{2}-4\right) \ln \left(x \,{\mathrm e}-{\mathrm e} \,{\mathrm e}^{x}-4 \,{\mathrm e}+1\right)$&$50$\\ risch&$x^{2} \ln \left(5\right)^{2}+4 x^{2}+\frac{4 \ln \left(5\right)^{2}}{x}+\frac{16}{x}-\ln \left(5\right)^{2} \ln \left({\mathrm e}^{x}-\left(x \,{\mathrm e}-4 \,{\mathrm e}+1\right) {\mathrm e}^{-1}\right)-4 \ln \left({\mathrm e}^{x}-\left(x \,{\mathrm e}-4 \,{\mathrm e}+1\right) {\mathrm e}^{-1}\right)$&$73$\\ \hline \end{longtable}"," ",0,"((4+ln(5)^2)*x^3+4*ln(5)^2+16)/x+(-ln(5)^2-4)*ln(x*exp(1)-exp(1)*exp(x)-4*exp(1)+1)","A"
6951,1,11,16,0.015000," ","int(exp(5)+3*x^2+3/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{3}+\left({\mathrm e}^{5}+\frac{3}{2}\right) x$&$11$\\ default&$x \,{\mathrm e}^{5}+x^{3}+\frac{3 x}{2}$&$12$\\ risch&$x \,{\mathrm e}^{5}+x^{3}+\frac{3 x}{2}$&$12$\\ gosper&$\frac{x \left(2 x^{2}+2 \,{\mathrm e}^{5}+3\right)}{2}$&$15$\\ \hline \end{longtable}"," ",0,"x^3+(exp(5)+3/2)*x","A"
6952,1,38,21,0.024000," ","int(1/3*(12*exp(2)+36)*ln(x)^2+1/3*(24*exp(2)+72)*ln(x)+1/3*(-8*exp(2)-24)*exp(4)+8*exp(2)*x+26*x-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(4 \,{\mathrm e}^{2}+13\right) x^{2}+\left(-\frac{8 \,{\mathrm e}^{2} {\mathrm e}^{4}}{3}-8 \,{\mathrm e}^{4}-3\right) x +\left(4 \,{\mathrm e}^{2}+12\right) x \ln \left(x \right)^{2}$&$38$\\ risch&$4 x \,{\mathrm e}^{2} \ln \left(x \right)^{2}+12 x \ln \left(x \right)^{2}-3 x -\frac{8 x \,{\mathrm e}^{6}}{3}-8 x \,{\mathrm e}^{4}+4 x^{2} {\mathrm e}^{2}+13 x^{2}$&$43$\\ default&$13 x^{2}-3 x +\frac{\left(-8 \,{\mathrm e}^{2}-24\right) {\mathrm e}^{4} x}{3}+4 x \,{\mathrm e}^{2} \ln \left(x \right)^{2}+12 x \ln \left(x \right)^{2}+4 x^{2} {\mathrm e}^{2}$&$44$\\ \hline \end{longtable}"," ",0,"(4*exp(2)+13)*x^2+(-8/3*exp(2)*exp(4)-8*exp(4)-3)*x+(4*exp(2)+12)*x*ln(x)^2","A"
6953,1,35,22,0.076000," ","int(((2*exp(2)*x-5*x^2+8*x)*exp(3)+3*x^2*exp(2)+4*x^4-10*x^3+12*x^2)/(exp(2)^2+(8*x^2-10*x+8)*exp(2)+16*x^4-40*x^3+57*x^2-40*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}+\frac{5 x \,{\mathrm e}^{3}}{4}-\frac{{\mathrm e}^{2} {\mathrm e}^{3}}{4}-{\mathrm e}^{3}}{4+4 x^{2}-5 x +{\mathrm e}^{2}}$&$35$\\ gosper&$-\frac{-4 x^{3}+{\mathrm e}^{2} {\mathrm e}^{3}-5 x \,{\mathrm e}^{3}+4 \,{\mathrm e}^{3}}{4 \left(4+4 x^{2}-5 x +{\mathrm e}^{2}\right)}$&$37$\\ risch&$\frac{x}{4}+\frac{\frac{\left(5 \,{\mathrm e}^{3}-{\mathrm e}^{2}+\frac{9}{4}\right) x}{4}-\frac{{\mathrm e}^{5}}{4}-{\mathrm e}^{3}-\frac{5 \,{\mathrm e}^{2}}{16}-\frac{5}{4}}{4+4 x^{2}-5 x +{\mathrm e}^{2}}$&$47$\\ \hline \end{longtable}"," ",0,"(x^3+5/4*x*exp(3)-1/4*exp(2)*exp(3)-exp(3))/(4+4*x^2-5*x+exp(2))","A"
6954,1,34,23,0.033000," ","int(((8*x*ln(2)^2+12*x^2*ln(2)+4*x^3)*ln(x)*ln(ln(x)*ln(2*ln(2)))^2+(8*x*ln(2)^2+8*x^2*ln(2)+2*x^3)*ln(ln(x)*ln(2*ln(2))))/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(4 x^{2} \ln \left(2\right)^{2}+4 x^{3} \ln \left(2\right)+x^{4}\right) \ln \left(\ln \left(x \right) \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)\right)^{2}$&$34$\\ \hline \end{longtable}"," ",0,"(4*x^2*ln(2)^2+4*x^3*ln(2)+x^4)*ln(ln(x)*(ln(2)+ln(ln(2))))^2","A"
6955,1,13,12,0.110000," ","int(-2/(5*exp(16)-exp(4)-x)/ln(-5*exp(16)+x+exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$2 \ln \left(\ln \left(-5 \,{\mathrm e}^{16}+x +{\mathrm e}^{4}\right)\right)$&$13$\\ default&$2 \ln \left(\ln \left(-5 \,{\mathrm e}^{16}+x +{\mathrm e}^{4}\right)\right)$&$13$\\ norman&$2 \ln \left(\ln \left(-5 \,{\mathrm e}^{16}+x +{\mathrm e}^{4}\right)\right)$&$13$\\ risch&$2 \ln \left(\ln \left(-5 \,{\mathrm e}^{16}+x +{\mathrm e}^{4}\right)\right)$&$13$\\ \hline \end{longtable}"," ",0,"2*ln(ln(-5*exp(16)+x+exp(4)))","A"
6956,1,14,15,0.031000," ","int((4*exp(x)*x+4*x+4)*ln(ln(x)+exp(x)+5+x)^3/((x*ln(x)+exp(x)*x+x^2+5*x)*ln(ln(x)+exp(x)+5+x)^4+4*x*ln(x)+4*exp(x)*x+4*x^2+20*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\ln \left(x \right)+{\mathrm e}^{x}+5+x \right)^{4}+4\right)$&$14$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(x)+exp(x)+5+x)^4+4)","A"
6957,1,541,28,0.289000," ","int((((x^4+3*x^3-2*x^2+6*x-8)*ln(4+x)^2+(-x^4-4*x^3-2*x^2-8*x)*ln(4+x))*ln(((-2*x+2)*ln(4+x)+2*x)/ln(4+x))+(x^4-18*x^2-8*x)*ln(4+x)^2+(-x^4+18*x^2+8*x)*ln(4+x)+x^4-4*x^3-2*x^2)/((x^4+3*x^3-4*x^2)*ln(4+x)^2+(-x^4-4*x^3)*ln(4+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2}-2\right) \ln \left(\left(\ln \left(4+x \right)-1\right) x -\ln \left(4+x \right)\right)}{x}+\frac{-4 \ln \left(2\right)-2 i \pi  \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(4+x \right)-1\right) x -\ln \left(4+x \right)\right)}{\ln \left(4+x \right)}\right)^{3}+2 x^{2} \ln \left(2\right)-2 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(4+x \right)-1\right) x -\ln \left(4+x \right)\right)}{\ln \left(4+x \right)}\right)^{2}-2 i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(4+x \right)-1\right) x -\ln \left(4+x \right)\right)}{\ln \left(4+x \right)}\right)^{2}+2 i \pi  \,x^{2}+2 i \pi  \,\mathrm{csgn}\left(i \left(\left(\ln \left(4+x \right)-1\right) x -\ln \left(4+x \right)\right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(4+x \right)-1\right) x -\ln \left(4+x \right)\right)}{\ln \left(4+x \right)}\right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(4+x \right)-1\right) x -\ln \left(4+x \right)\right)}{\ln \left(4+x \right)}\right)^{3}-8 \ln \left(x -1\right) x +4 \ln \left(\ln \left(4+x \right)\right)+8 \ln \left(\ln \left(4+x \right)\right) x -8 \ln \left(\ln \left(4+x \right)-\frac{x}{x -1}\right) x -2 x^{2} \ln \left(\ln \left(4+x \right)\right)-2 i \pi  \,\mathrm{csgn}\left(i \left(\left(\ln \left(4+x \right)-1\right) x -\ln \left(4+x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(4+x \right)-1\right) x -\ln \left(4+x \right)\right)}{\ln \left(4+x \right)}\right)^{2}+4 i \pi  \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(4+x \right)-1\right) x -\ln \left(4+x \right)\right)}{\ln \left(4+x \right)}\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\left(\ln \left(4+x \right)-1\right) x -\ln \left(4+x \right)\right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(4+x \right)-1\right) x -\ln \left(4+x \right)\right)}{\ln \left(4+x \right)}\right)+i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\left(\ln \left(4+x \right)-1\right) x -\ln \left(4+x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(4+x \right)-1\right) x -\ln \left(4+x \right)\right)}{\ln \left(4+x \right)}\right)^{2}+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(4+x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(4+x \right)-1\right) x -\ln \left(4+x \right)\right)}{\ln \left(4+x \right)}\right)^{2}-4 i \pi}{2 x}$&$541$\\ \hline \end{longtable}"," ",0,"(x^2-2)/x*ln((ln(4+x)-1)*x-ln(4+x))+1/2*(-4*ln(2)-2*I*Pi*csgn(I/ln(4+x)*((ln(4+x)-1)*x-ln(4+x)))^3+2*x^2*ln(2)-2*I*Pi*x^2*csgn(I/ln(4+x)*((ln(4+x)-1)*x-ln(4+x)))^2-2*I*Pi*csgn(I/ln(4+x))*csgn(I/ln(4+x)*((ln(4+x)-1)*x-ln(4+x)))^2+2*I*Pi*x^2+2*I*Pi*csgn(I*((ln(4+x)-1)*x-ln(4+x)))*csgn(I/ln(4+x))*csgn(I/ln(4+x)*((ln(4+x)-1)*x-ln(4+x)))+I*Pi*x^2*csgn(I/ln(4+x)*((ln(4+x)-1)*x-ln(4+x)))^3-8*ln(x-1)*x+4*ln(ln(4+x))+8*ln(ln(4+x))*x-8*ln(ln(4+x)-x/(x-1))*x-2*x^2*ln(ln(4+x))-2*I*Pi*csgn(I*((ln(4+x)-1)*x-ln(4+x)))*csgn(I/ln(4+x)*((ln(4+x)-1)*x-ln(4+x)))^2+4*I*Pi*csgn(I/ln(4+x)*((ln(4+x)-1)*x-ln(4+x)))^2-I*Pi*x^2*csgn(I*((ln(4+x)-1)*x-ln(4+x)))*csgn(I/ln(4+x))*csgn(I/ln(4+x)*((ln(4+x)-1)*x-ln(4+x)))+I*Pi*x^2*csgn(I*((ln(4+x)-1)*x-ln(4+x)))*csgn(I/ln(4+x)*((ln(4+x)-1)*x-ln(4+x)))^2+I*Pi*x^2*csgn(I/ln(4+x))*csgn(I/ln(4+x)*((ln(4+x)-1)*x-ln(4+x)))^2-4*I*Pi)/x","C"
6958,1,18,14,0.015000," ","int(1/9*((16*x^2-4*x)*ln(x)+8*x^2-4*x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{8 x^{2} \ln \left(x \right)}{9}-\frac{4 x \ln \left(x \right)}{9}-\frac{\ln \left(x \right)}{9}$&$18$\\ norman&$\frac{8 x^{2} \ln \left(x \right)}{9}-\frac{4 x \ln \left(x \right)}{9}-\frac{\ln \left(x \right)}{9}$&$18$\\ risch&$\frac{\left(8 x^{2}-4 x \right) \ln \left(x \right)}{9}-\frac{\ln \left(x \right)}{9}$&$19$\\ \hline \end{longtable}"," ",0,"8/9*x^2*ln(x)-4/9*x*ln(x)-1/9*ln(x)","A"
6959,0,0,25,0.022000," ","int((-2*x*ln(x)+16*x*exp(-2/5*x+1)-2)*ln(1/4*ln(x)*(x+1)+5*exp(-2/5*x+1)-1/4*x-1/4)/((x^2+x)*ln(x)+20*x*exp(-2/5*x+1)-x^2-x),x)","\[\int \frac{\left(-2 x \ln \left(x \right)+16 x \,{\mathrm e}^{-\frac{2 x}{5}+1}-2\right) \ln \left(\frac{\ln \left(x \right) \left(x +1\right)}{4}+5 \,{\mathrm e}^{-\frac{2 x}{5}+1}-\frac{x}{4}-\frac{1}{4}\right)}{\left(x^{2}+x \right) \ln \left(x \right)+20 x \,{\mathrm e}^{-\frac{2 x}{5}+1}-x^{2}-x}\, dx\]"," ",0,"int((-2*x*ln(x)+16*x*exp(-2/5*x+1)-2)*ln(1/4*ln(x)*(x+1)+5*exp(-2/5*x+1)-1/4*x-1/4)/((x^2+x)*ln(x)+20*x*exp(-2/5*x+1)-x^2-x),x)","F"
6960,1,15,16,0.043000," ","int((36*x+18)*exp(3*x^2+3*x)*exp(6*exp(3*x^2+3*x))-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{6 \,{\mathrm e}^{3 \left(x +1\right) x}}$&$15$\\ default&$-x +{\mathrm e}^{6 \,{\mathrm e}^{3 x^{2}+3 x}}$&$18$\\ norman&$-x +{\mathrm e}^{6 \,{\mathrm e}^{3 x^{2}+3 x}}$&$18$\\ \hline \end{longtable}"," ",0,"-x+exp(6*exp(3*(x+1)*x))","A"
6961,1,73,24,0.095000," ","int(64*x^3*ln(x)^4+64*x^3*ln(x)^3+((480*x^5-1920*x^4+96*x^2-256*x)*exp(5*x^3)+64*x)*ln(x)^2+((64*x^2-256*x)*exp(5*x^3)+64*x)*ln(x)+(480*x^4-3840*x^3+7680*x^2+32*x-128)*exp(5*x^3)^2+(480*x^3-1920*x^2+32)*exp(5*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{4} \ln \left(x \right)^{4}+\left(16 x^{2}-128 x +256\right) {\mathrm e}^{10 x^{3}}+\left(32 x -128\right) {\mathrm e}^{5 x^{3}}+\left(32 \,{\mathrm e}^{5 x^{3}} x^{3}-128 x^{2} {\mathrm e}^{5 x^{3}}+32 x^{2}\right) \ln \left(x \right)^{2}$&$73$\\ \hline \end{longtable}"," ",0,"16*x^4*ln(x)^4+(16*x^2-128*x+256)*exp(10*x^3)+(32*x-128)*exp(5*x^3)+(32*exp(5*x^3)*x^3-128*x^2*exp(5*x^3)+32*x^2)*ln(x)^2","B"
6962,1,16,18,0.056000," ","int((((8*x*ln(x)+8*x)*exp(x*ln(x))-2)*exp(exp(x*ln(x)))^4+2*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{2 \,{\mathrm e}^{4 x^{x}}}{x}$&$16$\\ \hline \end{longtable}"," ",0,"2*x+2*exp(4*x^x)/x","A"
6963,1,247,21,2.051000," ","int((((4*exp(x)-2*exp(2)+4*x+4)*ln(exp(x)^2+1/4*(-4*exp(2)+8*x+8)*exp(x)+1/4*exp(2)^2+1/4*(-4*x-4)*exp(2)+x^2+2*x+1)+4*exp(x)*x-2*exp(2)*x+4*x^2+4*x)*ln(ln(exp(x)^2+1/4*(-4*exp(2)+8*x+8)*exp(x)+1/4*exp(2)^2+1/4*(-4*x-4)*exp(2)+x^2+2*x+1)+x)+(6*exp(x)*x-exp(2)*x+2*x^2+6*x)*ln(x^2))/((4*exp(x)*x-2*exp(2)*x+4*x^2+4*x)*ln(exp(x)^2+1/4*(-4*exp(2)+8*x+8)*exp(x)+1/4*exp(2)^2+1/4*(-4*x-4)*exp(2)+x^2+2*x+1)+4*exp(x)*x^2-2*x^2*exp(2)+4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right) \ln \left(-2 \ln \left(2\right)+2 \ln \left(-2 \,{\mathrm e}^{x}+{\mathrm e}^{2}-2 x -2\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \left(-2 \,{\mathrm e}^{x}+{\mathrm e}^{2}-2 x -2\right)^{2}\right) \left(-\mathrm{csgn}\left(i \left(-2 \,{\mathrm e}^{x}+{\mathrm e}^{2}-2 x -2\right)^{2}\right)+\mathrm{csgn}\left(i \left(-2 \,{\mathrm e}^{x}+{\mathrm e}^{2}-2 x -2\right)\right)\right)^{2}}{2}+x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(\mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{2}\right) \ln \left(\ln \left(-2 \,{\mathrm e}^{x}+{\mathrm e}^{2}-2 x -2\right)-\frac{i \left(\pi  \mathrm{csgn}\left(i \left(-2 \,{\mathrm e}^{x}+{\mathrm e}^{2}-2 x -2\right)\right)^{2} \mathrm{csgn}\left(i \left(-2 \,{\mathrm e}^{x}+{\mathrm e}^{2}-2 x -2\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(-2 \,{\mathrm e}^{x}+{\mathrm e}^{2}-2 x -2\right)\right) \mathrm{csgn}\left(i \left(-2 \,{\mathrm e}^{x}+{\mathrm e}^{2}-2 x -2\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(-2 \,{\mathrm e}^{x}+{\mathrm e}^{2}-2 x -2\right)^{2}\right)^{3}-4 i \ln \left(2\right)+2 i x \right)}{4}\right)}{4}$&$247$\\ \hline \end{longtable}"," ",0,"ln(x)*ln(-2*ln(2)+2*ln(-2*exp(x)+exp(2)-2*x-2)-1/2*I*Pi*csgn(I*(-2*exp(x)+exp(2)-2*x-2)^2)*(-csgn(I*(-2*exp(x)+exp(2)-2*x-2)^2)+csgn(I*(-2*exp(x)+exp(2)-2*x-2)))^2+x)-1/4*I*Pi*csgn(I*x^2)*(csgn(I*x)^2-2*csgn(I*x^2)*csgn(I*x)+csgn(I*x^2)^2)*ln(ln(-2*exp(x)+exp(2)-2*x-2)-1/4*I*(Pi*csgn(I*(-2*exp(x)+exp(2)-2*x-2))^2*csgn(I*(-2*exp(x)+exp(2)-2*x-2)^2)-2*Pi*csgn(I*(-2*exp(x)+exp(2)-2*x-2))*csgn(I*(-2*exp(x)+exp(2)-2*x-2)^2)^2+Pi*csgn(I*(-2*exp(x)+exp(2)-2*x-2)^2)^3-4*I*ln(2)+2*I*x))","C"
6964,1,176,28,0.173000," ","int(((-3*x^3-3*x^2-9*x+9)*exp(16-x)*exp(1/2*x)^4+(-3*x^2*exp(1)-12*x^3-12*x^2-36*x+36)*exp(16-x)*exp(1/2*x)^3+(3*exp(1)^2-12*x^2*exp(1)-18*x^3-18*x^2-54*x+54)*exp(16-x)*exp(1/2*x)^2+((-3*x+6)*exp(1)^2-15*x^2*exp(1)-12*x^3-12*x^2-36*x+36)*exp(16-x)*exp(1/2*x)+((-3*x+3)*exp(1)^2-6*x^2*exp(1)-3*x^3-3*x^2-9*x+9)*exp(16-x))/((x^4+6*x^2+9)*exp(1/2*x)^4+((4*x^3+12*x)*exp(1)+4*x^4+24*x^2+36)*exp(1/2*x)^3+((6*x^2+6)*exp(1)^2+(12*x^3+36*x)*exp(1)+6*x^4+36*x^2+54)*exp(1/2*x)^2+(4*x*exp(1)^3+(12*x^2+12)*exp(1)^2+(12*x^3+36*x)*exp(1)+4*x^4+24*x^2+36)*exp(1/2*x)+exp(1)^4+4*x*exp(1)^3+(6*x^2+6)*exp(1)^2+(4*x^3+12*x)*exp(1)+x^4+6*x^2+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 x \left(x +{\mathrm e}\right) {\mathrm e}^{17-\frac{x}{2}}}{\left({\mathrm e}^{2}+2 x \,{\mathrm e}+x^{2}+3\right)^{2}}+\frac{3 x \,{\mathrm e}^{16-x}}{{\mathrm e}^{2}+2 x \,{\mathrm e}+x^{2}+3}+\frac{3 \,{\mathrm e}^{17} x \left(-2 x^{2} {\mathrm e}^{1+\frac{x}{2}}-2 \,{\mathrm e}^{\frac{x}{2}} x^{3}+{\mathrm e}^{3}-3 x^{2} {\mathrm e}-2 x^{3}-6 \,{\mathrm e}^{1+\frac{x}{2}}-6 x \,{\mathrm e}^{\frac{x}{2}}-9 \,{\mathrm e}-6 x \right)}{\left({\mathrm e}^{2}+2 x \,{\mathrm e}+x^{2}+3\right)^{2} \left({\mathrm e}^{x} x^{2}+2 x \,{\mathrm e}^{1+\frac{x}{2}}+2 x^{2} {\mathrm e}^{\frac{x}{2}}+{\mathrm e}^{2}+2 x \,{\mathrm e}+3 \,{\mathrm e}^{x}+x^{2}+6 \,{\mathrm e}^{\frac{x}{2}}+3\right)}$&$176$\\ \hline \end{longtable}"," ",0,"6/(exp(2)+2*x*exp(1)+x^2+3)^2*x*(x+exp(1))*exp(17-1/2*x)+3/(exp(2)+2*x*exp(1)+x^2+3)*x*exp(16-x)+3*exp(17)*x*(-2*x^2*exp(1+1/2*x)-2*exp(1/2*x)*x^3+exp(3)-3*x^2*exp(1)-2*x^3-6*exp(1+1/2*x)-6*x*exp(1/2*x)-9*exp(1)-6*x)/(exp(2)+2*x*exp(1)+x^2+3)^2/(exp(x)*x^2+2*x*exp(1+1/2*x)+2*x^2*exp(1/2*x)+exp(2)+2*x*exp(1)+3*exp(x)+x^2+6*exp(1/2*x)+3)","B"
6965,1,15,14,0.025000," ","int(1/72*(4*exp(x)^2-480*exp(x)-1)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}}{18}-\frac{20 x}{3}+\frac{{\mathrm e}^{-x}}{72}$&$15$\\ derivativedivides&$\frac{{\mathrm e}^{x}}{18}-\frac{20 \ln \left({\mathrm e}^{x}\right)}{3}+\frac{{\mathrm e}^{-x}}{72}$&$17$\\ default&$\frac{{\mathrm e}^{x}}{18}-\frac{20 \ln \left({\mathrm e}^{x}\right)}{3}+\frac{{\mathrm e}^{-x}}{72}$&$17$\\ norman&$\left(\frac{1}{72}+\frac{{\mathrm e}^{2 x}}{18}-\frac{20 \,{\mathrm e}^{x} x}{3}\right) {\mathrm e}^{-x}$&$19$\\ \hline \end{longtable}"," ",0,"1/18*exp(x)-20/3*x+1/72*exp(-x)","A"
6966,1,53,32,0.128000," ","int((((-8*x^3-82*x^2-244*x-170)*ln(3)+(-8*x^3-82*x^2-244*x-170)*exp(4)-4*x^4-53*x^3-241*x^2-414*x-170)*ln((4*x+17)/(5+x))+(3*x^2+6*x)*ln(3)+(3*x^2+6*x)*exp(4)+3*x^2+6*x)/(4*x^4+45*x^3+159*x^2+170*x)/ln((4*x+17)/(5+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x +\left(-1-\ln \left(3\right)-{\mathrm e}^{4}\right) \ln \left(x \right)+\left(-1-\ln \left(3\right)-{\mathrm e}^{4}\right) \ln \left(2+x \right)+\left(1+{\mathrm e}^{4}+\ln \left(3\right)\right) \ln \left(\ln \left(\frac{4 x +17}{5+x}\right)\right)$&$53$\\ risch&$-\ln \left(x^{2}+2 x \right) \ln \left(3\right)-\ln \left(x^{2}+2 x \right) {\mathrm e}^{4}-\ln \left(x^{2}+2 x \right)-x +\ln \left(\ln \left(\frac{4 x +17}{5+x}\right)\right) \ln \left(3\right)+\ln \left(\ln \left(\frac{4 x +17}{5+x}\right)\right) {\mathrm e}^{4}+\ln \left(\ln \left(\frac{4 x +17}{5+x}\right)\right)$&$84$\\ derivativedivides&$-\ln \left(3\right) \ln \left(3-\frac{15}{5+x}\right)+\ln \left(3\right) \ln \left(\ln \left(4-\frac{3}{5+x}\right)\right)-\ln \left(3\right) \ln \left(1-\frac{3}{5+x}\right)+2 \ln \left(3\right) \ln \left(-\frac{3}{5+x}\right)+\ln \left(\ln \left(4-\frac{3}{5+x}\right)\right) {\mathrm e}^{4}+\ln \left(\ln \left(4-\frac{3}{5+x}\right)\right)-\ln \left(1-\frac{3}{5+x}\right) {\mathrm e}^{4}-\ln \left(1-\frac{3}{5+x}\right)+2 \ln \left(-\frac{3}{5+x}\right) {\mathrm e}^{4}+2 \ln \left(-\frac{3}{5+x}\right)-5-x -\ln \left(3-\frac{15}{5+x}\right) {\mathrm e}^{4}-\ln \left(3-\frac{15}{5+x}\right)$&$159$\\ default&$-\ln \left(3\right) \ln \left(3-\frac{15}{5+x}\right)+\ln \left(3\right) \ln \left(\ln \left(4-\frac{3}{5+x}\right)\right)-\ln \left(3\right) \ln \left(1-\frac{3}{5+x}\right)+2 \ln \left(3\right) \ln \left(-\frac{3}{5+x}\right)+\ln \left(\ln \left(4-\frac{3}{5+x}\right)\right) {\mathrm e}^{4}+\ln \left(\ln \left(4-\frac{3}{5+x}\right)\right)-\ln \left(1-\frac{3}{5+x}\right) {\mathrm e}^{4}-\ln \left(1-\frac{3}{5+x}\right)+2 \ln \left(-\frac{3}{5+x}\right) {\mathrm e}^{4}+2 \ln \left(-\frac{3}{5+x}\right)-5-x -\ln \left(3-\frac{15}{5+x}\right) {\mathrm e}^{4}-\ln \left(3-\frac{15}{5+x}\right)$&$159$\\ \hline \end{longtable}"," ",0,"-x+(-1-ln(3)-exp(4))*ln(x)+(-1-ln(3)-exp(4))*ln(2+x)+(1+exp(4)+ln(3))*ln(ln((4*x+17)/(5+x)))","A"
6967,1,17,26,0.020000," ","int(1/4*((-2*x^2-x)*exp(x)^2-8*x^2+4*x+4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+x +\ln \left(x \right)-\frac{x \,{\mathrm e}^{2 x}}{4}$&$17$\\ norman&$-x^{2}+x +\ln \left(x \right)-\frac{x \,{\mathrm e}^{2 x}}{4}$&$17$\\ risch&$-x^{2}+x +\ln \left(x \right)-\frac{x \,{\mathrm e}^{2 x}}{4}$&$17$\\ \hline \end{longtable}"," ",0,"-x^2+x+ln(x)-1/4*x*exp(x)^2","A"
6968,1,29,27,0.039000," ","int(((8*x+2)*exp(x)^2+(14*x^2+13*x+2)*exp(x)+6*x^3-2*x^2+3*x+2)/(x*exp(x)^2+(2*x^2+x)*exp(x)+x^3-x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$6 x +2 \ln \left(x \right)+\ln \left({\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x +x^{2}+{\mathrm e}^{x}-x +1\right)$&$29$\\ risch&$6 x +2 \ln \left(x \right)+\ln \left({\mathrm e}^{2 x}+\left(2 x +1\right) {\mathrm e}^{x}+x^{2}-x +1\right)$&$30$\\ \hline \end{longtable}"," ",0,"6*x+2*ln(x)+ln(exp(x)^2+2*exp(x)*x+x^2+exp(x)-x+1)","A"
6969,1,17,16,0.048000," ","int(-ln(2)/x^4/(ln(5)+I*Pi),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\ln \left(2\right)}{3 \left(\ln \left(5\right)+i \pi \right) x^{3}}$&$17$\\ default&$\frac{\ln \left(2\right)}{3 \left(\ln \left(5\right)+i \pi \right) x^{3}}$&$17$\\ risch&$\frac{\ln \left(2\right)}{3 \left(\ln \left(5\right)+i \pi \right) x^{3}}$&$17$\\ norman&$-\frac{\ln \left(2\right) \left(i \pi -\ln \left(5\right)\right)}{3 \left(\pi^{2}+\ln \left(5\right)^{2}\right) x^{3}}$&$27$\\ \hline \end{longtable}"," ",0,"1/3*ln(2)/(ln(5)+I*Pi)/x^3","A"
6970,1,19,27,0.025000," ","int(1/2*(-2*ln(x^3)+6*x^3+3*x+6)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(x^{3}\right)}{x}+\frac{3 x^{2}}{2}+\frac{3 \ln \left(x \right)}{2}$&$19$\\ risch&$\frac{\ln \left(x^{3}\right)}{x}+\frac{3 x^{2}}{2}+\frac{3 \ln \left(x \right)}{2}$&$19$\\ norman&$\frac{\frac{3 x^{3}}{2}+\ln \left(x^{3}\right)}{x}+\frac{3 \ln \left(x \right)}{2}$&$20$\\ \hline \end{longtable}"," ",0,"ln(x^3)/x+3/2*x^2+3/2*ln(x)","A"
6971,1,21,23,0.090000," ","int(((x-1)*exp(4)*exp(ln(x)-x)*exp(exp(ln(x)-x))+x*exp(4)+4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{4}+4 \ln \left(x \right)-{\mathrm e}^{4+x \,{\mathrm e}^{-x}}$&$21$\\ default&$x \,{\mathrm e}^{4}+4 \ln \left(x \right)-{\mathrm e}^{4} {\mathrm e}^{{\mathrm e}^{\ln \left(x \right)-x}}$&$22$\\ norman&$x \,{\mathrm e}^{4}+4 \ln \left(x \right)-{\mathrm e}^{4} {\mathrm e}^{{\mathrm e}^{\ln \left(x \right)-x}}$&$22$\\ \hline \end{longtable}"," ",0,"x*exp(4)+4*ln(x)-exp(4+x*exp(-x))","A"
6972,1,32,30,0.077000," ","int((10*x^5*exp(x+ln(x))^2+(20*x^5*exp(x)-x^7+x^6+21*x^5-500*x^3)*exp(x+ln(x))+10*x^5*exp(x)^2+(-x^7+2*x^6+22*x^5-20*x^4-500*x^3)*exp(x)-125*x^4-100*x^3+1500*x^2+6250*x)/(5*x^4*exp(x+ln(x))^2+(10*exp(x)*x^4-250*x^2)*exp(x+ln(x))+5*exp(x)^2*x^4-250*exp(x)*x^2+3125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{\left(x^{2}+x -20\right) x^{3}}{5 \,{\mathrm e}^{x} x^{3}+5 \,{\mathrm e}^{x} x^{2}-125}$&$32$\\ norman&$\frac{x^{5} {\mathrm e}^{x}+{\mathrm e}^{x} x^{4}-25 x^{2}-4 x^{3}+\frac{x^{4}}{5}+\frac{x^{5}}{5}}{{\mathrm e}^{x} x^{3}+{\mathrm e}^{x} x^{2}-25}$&$51$\\ \hline \end{longtable}"," ",0,"x^2+1/5*(x^2+x-20)*x^3/(exp(x)*x^3+exp(x)*x^2-25)","A"
6973,1,11,15,0.021000," ","int((-exp(4)+3*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x +\frac{{\mathrm e}^{4}}{x}$&$11$\\ risch&$3 x +\frac{{\mathrm e}^{4}}{x}$&$11$\\ gosper&$\frac{3 x^{2}+{\mathrm e}^{4}}{x}$&$13$\\ norman&$\frac{3 x^{2}+{\mathrm e}^{4}}{x}$&$13$\\ \hline \end{longtable}"," ",0,"3*x+exp(4)/x","A"
6974,1,271,29,0.075000," ","int(((-400*x*ln(x)-800*x^2-384*x+16)*ln(x^2)+(1600*x^4-48*x^3-800*x^2-784*x+32)*ln(x)+2000*x^5+336*x^4-1216*x^3-1168*x^2+48*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-800 x +32\right) \ln \left(x \right)^{2}+\left(200 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-400 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+200 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}+400 x^{4}-16 x^{3}-1200 x^{2}+48 x \right) \ln \left(x \right)+200 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-400 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+200 i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}-8 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+16 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-8 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}+400 x^{5}-16 x^{4}-400 x^{3}+16 x^{2}-8 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+16 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-8 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3}$&$271$\\ \hline \end{longtable}"," ",0,"(-800*x+32)*ln(x)^2+(200*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)-400*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2+200*I*Pi*x*csgn(I*x^2)^3+400*x^4-16*x^3-1200*x^2+48*x)*ln(x)+200*I*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)-400*I*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2+200*I*Pi*x^2*csgn(I*x^2)^3-8*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)+16*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2-8*I*Pi*x*csgn(I*x^2)^3+400*x^5-16*x^4-400*x^3+16*x^2-8*I*Pi*ln(x)*csgn(I*x)^2*csgn(I*x^2)+16*I*Pi*ln(x)*csgn(I*x)*csgn(I*x^2)^2-8*I*Pi*ln(x)*csgn(I*x^2)^3","C"
6975,1,334,33,0.746000," ","int((((2500*x^2-2500*x)*exp(x)-2500*x+1250)*ln(-exp(exp(x))^2/(x^2-x))-x^2+x)/((4*x^2-4*x)*exp(1)+5*x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{2500 \ln \left(x^{2}-x \right) {\mathrm e}^{x}}{5+4 \,{\mathrm e}}+\frac{5000 \,{\mathrm e}^{x} \left(\ln \left({\mathrm e}^{{\mathrm e}^{x}}\right)-{\mathrm e}^{x}\right)}{5+4 \,{\mathrm e}}+\frac{2500 \left(\ln \left(-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x}}}{x^{2}-x}\right)-2 \ln \left({\mathrm e}^{{\mathrm e}^{x}}\right)+\ln \left(x^{2}-x \right)\right) {\mathrm e}^{x}}{5+4 \,{\mathrm e}}+\frac{2500 \,{\mathrm e}^{2 x}}{5+4 \,{\mathrm e}}-\frac{2500 \ln \left(x \right) \left(\ln \left({\mathrm e}^{{\mathrm e}^{x}}\right)-{\mathrm e}^{x}\right)}{5+4 \,{\mathrm e}}-\frac{1250 \ln \left(x \right) \left(\ln \left(-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x}}}{x^{2}-x}\right)-2 \ln \left({\mathrm e}^{{\mathrm e}^{x}}\right)+\ln \left(x^{2}-x \right)\right)}{5+4 \,{\mathrm e}}-\frac{2500 \ln \left(x -1\right) \left(\ln \left({\mathrm e}^{{\mathrm e}^{x}}\right)-{\mathrm e}^{x}\right)}{5+4 \,{\mathrm e}}-\frac{1250 \ln \left(x -1\right) \left(\ln \left(-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x}}}{x^{2}-x}\right)-2 \ln \left({\mathrm e}^{{\mathrm e}^{x}}\right)+\ln \left(x^{2}-x \right)\right)}{5+4 \,{\mathrm e}}-\frac{x}{5+4 \,{\mathrm e}}+\frac{1250 \ln \left(x \right) \ln \left(x^{2}-x \right)}{5+4 \,{\mathrm e}}-\frac{625 \ln \left(x \right)^{2}}{5+4 \,{\mathrm e}}+\frac{1250 \ln \left(x -1\right) \ln \left(x^{2}-x \right)}{5+4 \,{\mathrm e}}-\frac{625 \ln \left(x -1\right)^{2}}{5+4 \,{\mathrm e}}-\frac{1250 \ln \left(x -1\right) \ln \left(x \right)}{5+4 \,{\mathrm e}}$&$334$\\ \hline \end{longtable}"," ",0,"-2500/(5+4*exp(1))*ln(x^2-x)*exp(x)+5000/(5+4*exp(1))*exp(x)*(ln(exp(exp(x)))-exp(x))+2500*(ln(-exp(exp(x))^2/(x^2-x))-2*ln(exp(exp(x)))+ln(x^2-x))/(5+4*exp(1))*exp(x)+2500/(5+4*exp(1))*exp(x)^2-2500/(5+4*exp(1))*ln(x)*(ln(exp(exp(x)))-exp(x))-1250/(5+4*exp(1))*ln(x)*(ln(-exp(exp(x))^2/(x^2-x))-2*ln(exp(exp(x)))+ln(x^2-x))-2500/(5+4*exp(1))*ln(x-1)*(ln(exp(exp(x)))-exp(x))-1250/(5+4*exp(1))*ln(x-1)*(ln(-exp(exp(x))^2/(x^2-x))-2*ln(exp(exp(x)))+ln(x^2-x))-1/(5+4*exp(1))*x+1250/(5+4*exp(1))*ln(x)*ln(x^2-x)-625/(5+4*exp(1))*ln(x)^2+1250/(5+4*exp(1))*ln(x-1)*ln(x^2-x)-625/(5+4*exp(1))*ln(x-1)^2-1250/(5+4*exp(1))*ln(x-1)*ln(x)","B"
6976,1,12,10,0.014000," ","int(-22*ln(5)+242*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-11 x \left(-11 x +2 \ln \left(5\right)\right)$&$12$\\ default&$-22 x \ln \left(5\right)+121 x^{2}$&$12$\\ norman&$-22 x \ln \left(5\right)+121 x^{2}$&$12$\\ risch&$-22 x \ln \left(5\right)+121 x^{2}$&$12$\\ \hline \end{longtable}"," ",0,"-11*x*(-11*x+2*ln(5))","A"
6977,1,16,15,0.093000," ","int(((-8+x)*ln(8-x)+(-8+x)*exp(x)+(-8+x)*ln(2)+x)/(-8+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(2\right)+\ln \left(8-x \right) x +{\mathrm e}^{x}$&$16$\\ risch&$x \ln \left(2\right)+\ln \left(8-x \right) x +{\mathrm e}^{x}$&$16$\\ default&$x \ln \left(2\right)+8 \ln \left(-8+x \right)+{\mathrm e}^{x}-\ln \left(8-x \right) \left(8-x \right)+8$&$28$\\ \hline \end{longtable}"," ",0,"x*ln(2)+ln(8-x)*x+exp(x)","A"
6978,1,23,24,0.085000," ","int(((7*x^6+28*x^5+384*x^3+1536*x^2+384*x+1536)*ln(4+x)*ln(ln(4+x))-3*x^5)/(6*x^6+24*x^5)/ln(4+x)/ln(ln(4+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{7 x}{6}-\frac{16}{x^{4}}-\frac{32}{x^{2}}-\frac{\ln \left(\ln \left(\ln \left(4+x \right)\right)\right)}{2}$&$23$\\ risch&$\frac{7 x^{5}-192 x^{2}-96}{6 x^{4}}-\frac{\ln \left(\ln \left(\ln \left(4+x \right)\right)\right)}{2}$&$27$\\ \hline \end{longtable}"," ",0,"7/6*x-16/x^4-32/x^2-1/2*ln(ln(ln(4+x)))","A"
6979,1,31,31,0.106000," ","int(((2-x)*ln(5)*ln(x-2)*ln(ln(x-2))+((-2*x^2+2*x+4)*ln(5)+2*x^2-4*x)*ln(x-2)+(1-x)*ln(5))/(x-2)/ln(5)/ln(x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(x -2\right)\right)-2 x -x \ln \left(\ln \left(x -2\right)\right)-\frac{\left(\ln \left(5\right)-1\right) x^{2}}{\ln \left(5\right)}$&$31$\\ risch&$-x \ln \left(\ln \left(x -2\right)\right)-x^{2}+\ln \left(\ln \left(x -2\right)\right)-2 x +\frac{x^{2}}{\ln \left(5\right)}$&$31$\\ default&$\frac{-\ln \left(5\right) \ln \left(\ln \left(x -2\right)\right) x -x^{2} \ln \left(5\right)+\ln \left(5\right) \ln \left(\ln \left(x -2\right)\right)-2 x \ln \left(5\right)+x^{2}}{\ln \left(5\right)}$&$40$\\ \hline \end{longtable}"," ",0,"ln(ln(x-2))-2*x-x*ln(ln(x-2))-(ln(5)-1)/ln(5)*x^2","A"
6980,1,25,27,0.265000," ","int(((ln(2)^2+(-2*x^3+2*x^2-6*x)*ln(2)+x^6-2*x^5+7*x^4-6*x^3+9*x^2)*exp(2+x)-ln(2)-2*x^3+x^2)/(ln(2)^2+(-2*x^3+2*x^2-6*x)*ln(2)+x^6-2*x^5+7*x^4-6*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{-x^{3}+x^{2}+\ln \left(2\right)-3 x}+{\mathrm e}^{2+x}$&$25$\\ norman&$\frac{x^{2} {\mathrm e}^{2+x}-x +\ln \left(2\right) {\mathrm e}^{2+x}-3 x \,{\mathrm e}^{2+x}-{\mathrm e}^{2+x} x^{3}}{-x^{3}+x^{2}+\ln \left(2\right)-3 x}$&$53$\\ derivativedivides&$\text{Expression too large to display}$&$3011$\\ default&$\text{Expression too large to display}$&$3011$\\ \hline \end{longtable}"," ",0,"-x/(-x^3+x^2+ln(2)-3*x)+exp(2+x)","A"
6981,1,20,21,0.027000," ","int(1/5*(-exp(4)*exp(x)-x^4+2*x^3+x^2)/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{4}}{5 x}+\frac{\left(x^{2}-1\right) {\mathrm e}^{-x}}{5}$&$20$\\ default&$-\frac{{\mathrm e}^{-x}}{5}+\frac{x^{2} {\mathrm e}^{-x}}{5}+\frac{{\mathrm e}^{4}}{5 x}$&$24$\\ norman&$\frac{\left(-\frac{x}{5}+\frac{x^{3}}{5}+\frac{{\mathrm e}^{4} {\mathrm e}^{x}}{5}\right) {\mathrm e}^{-x}}{x}$&$24$\\ \hline \end{longtable}"," ",0,"1/5*exp(4)/x+1/5*(x^2-1)*exp(-x)","A"
6982,1,24,24,0.035000," ","int(1/4*(-16*exp(2)^2*ln(x)^2+(4*exp(4)^3+exp(4)^2)*ln(x)+4*exp(4)^3+exp(4)^2)/x^2/exp(2)^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{x}-\frac{{\mathrm e}^{4} \left(4 \,{\mathrm e}^{4}+1\right)}{4 x \ln \left(x \right)}$&$24$\\ norman&$\frac{\left(4 \,{\mathrm e}^{2} \ln \left(x \right)-\frac{{\mathrm e}^{8} \left(4 \,{\mathrm e}^{4}+1\right) {\mathrm e}^{-2}}{4}\right) {\mathrm e}^{-2}}{x \ln \left(x \right)}$&$36$\\ default&$\frac{{\mathrm e}^{-4} \left(\frac{16 \,{\mathrm e}^{4}}{x}-4 \,{\mathrm e}^{12} \expIntegralEi \left(1, \ln \left(x \right)\right)-{\mathrm e}^{8} \expIntegralEi \left(1, \ln \left(x \right)\right)+4 \,{\mathrm e}^{12} \left(-\frac{1}{x \ln \left(x \right)}+\expIntegralEi \left(1, \ln \left(x \right)\right)\right)+{\mathrm e}^{8} \left(-\frac{1}{x \ln \left(x \right)}+\expIntegralEi \left(1, \ln \left(x \right)\right)\right)\right)}{4}$&$76$\\ \hline \end{longtable}"," ",0,"4/x-1/4*exp(4)/x*(4*exp(4)+1)/ln(x)","A"
6983,1,11,16,0.018000," ","int(1/41*(-4*x^2*exp(-4/41*x)-123)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{3}{x}+{\mathrm e}^{-\frac{4 x}{41}}$&$11$\\ default&$\frac{3}{x}+{\mathrm e}^{-\frac{4 x}{41}}$&$11$\\ risch&$\frac{3}{x}+{\mathrm e}^{-\frac{4 x}{41}}$&$11$\\ norman&$\frac{3+x \,{\mathrm e}^{-\frac{4 x}{41}}}{x}$&$13$\\ \hline \end{longtable}"," ",0,"3/x+exp(-4/41*x)","A"
6984,1,31,24,0.102000," ","int(1/10*(((2*x^3-x^2+x)*exp(x)*exp(x^2-1)+10*exp(x)*x)*exp(1/20*(2*x-1)*exp(x^2-1)+2)-30)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 \ln \left(x \right)+{\mathrm e}^{x +\frac{{\mathrm e}^{\left(x -1\right) \left(x +1\right)} x}{10}-\frac{{\mathrm e}^{\left(x -1\right) \left(x +1\right)}}{20}+2}$&$31$\\ \hline \end{longtable}"," ",0,"-3*ln(x)+exp(x+1/10*exp((x-1)*(x+1))*x-1/20*exp((x-1)*(x+1))+2)","A"
6985,1,48,22,0.081000," ","int(((2*x^5+8*x^4-2*x^2-8*x)*ln((x^8+8*x^7+16*x^6-2*x^5-16*x^4-32*x^3+x^2+8*x+16)/x^4)-4*x^5-8*x^4-2*x^2-16*x)/(x^4+4*x^3-x-4)/ln((x^8+8*x^7+16*x^6-2*x^5-16*x^4-32*x^3+x^2+8*x+16)/x^4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}}{\ln \left(\frac{x^{8}+8 x^{7}+16 x^{6}-2 x^{5}-16 x^{4}-32 x^{3}+x^{2}+8 x +16}{x^{4}}\right)}$&$48$\\ risch&$\frac{x^{2}}{\ln \left(\frac{x^{8}+8 x^{7}+16 x^{6}-2 x^{5}-16 x^{4}-32 x^{3}+x^{2}+8 x +16}{x^{4}}\right)}$&$48$\\ \hline \end{longtable}"," ",0,"x^2/ln((x^8+8*x^7+16*x^6-2*x^5-16*x^4-32*x^3+x^2+8*x+16)/x^4)","B"
6986,1,10,19,0.015000," ","int(1/2*(-9*x^2+81)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{9 x}{2}-\frac{81}{2 x}$&$10$\\ risch&$-\frac{9 x}{2}-\frac{81}{2 x}$&$10$\\ gosper&$-\frac{9 \left(x^{2}+9\right)}{2 x}$&$11$\\ norman&$\frac{-\frac{81}{2}-\frac{9 x^{2}}{2}}{x}$&$12$\\ \hline \end{longtable}"," ",0,"-9/2*x-81/2/x","A"
6987,1,24,25,0.081000," ","int((((-3*x-3)*exp(20)^2*exp(x)-30*exp(20)^2)*exp(1/5*x*exp(20)^2*exp(x)+1/5*(10*x+5)*exp(20)^2)-15)/(5*exp(1/5*x*exp(20)^2*exp(x)+1/5*(10*x+5)*exp(20)^2)+5*x)/ln(exp(1/5*x*exp(20)^2*exp(x)+1/5*(10*x+5)*exp(20)^2)+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{\ln \left({\mathrm e}^{\frac{x \,{\mathrm e}^{40+x}}{5}+2 \,{\mathrm e}^{40} x +{\mathrm e}^{40}}+x \right)}$&$24$\\ \hline \end{longtable}"," ",0,"3/ln(exp(1/5*x*exp(40+x)+2*exp(40)*x+exp(40))+x)","A"
6988,1,7,22,0.007000," ","int(ln(2)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \left(\ln \left(2\right)-1\right)$&$7$\\ norman&$x \left(\ln \left(2\right)-1\right)$&$7$\\ risch&$x \ln \left(2\right)-x$&$9$\\ \hline \end{longtable}"," ",0,"x*(ln(2)-1)","A"
6989,1,20,29,0.034000," ","int(((18*x^3-72*x^2-20*x+36)*exp(x^2)+36*x-72)/(exp(x^2)^2-4*exp(x^2)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-9 x^{2}+36 x +1}{{\mathrm e}^{x^{2}}-2}$&$20$\\ risch&$-\frac{9 x^{2}-36 x -1}{{\mathrm e}^{x^{2}}-2}$&$21$\\ \hline \end{longtable}"," ",0,"(-9*x^2+36*x+1)/(exp(x^2)-2)","A"
6990,1,10,9,0.089000," ","int(((4*x-20)*ln(x-5)-4*x)/(x-5)/ln(x-5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 x}{\ln \left(x -5\right)}$&$10$\\ risch&$\frac{4 x}{\ln \left(x -5\right)}$&$10$\\ derivativedivides&$\frac{20}{\ln \left(x -5\right)}+\frac{4 x -20}{\ln \left(x -5\right)}$&$21$\\ default&$\frac{20}{\ln \left(x -5\right)}+\frac{4 x -20}{\ln \left(x -5\right)}$&$21$\\ \hline \end{longtable}"," ",0,"4*x/ln(x-5)","A"
6991,1,29,23,0.251000," ","int(((-300*x^3-300*x)*ln(3)^2*exp(x^2)+90*x^2*ln(3)^2)/(100*x^4*ln(3)^4*exp(x^2)^2+(-40*x^5*ln(3)^4-300*x^2*ln(3)^2)*exp(x^2)+4*x^6*ln(3)^4+60*x^3*ln(3)^2+225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{15}{2 x^{3} \ln \left(3\right)^{2}-10 \ln \left(3\right)^{2} {\mathrm e}^{x^{2}} x^{2}+15}$&$29$\\ norman&$\frac{2 x^{3} \ln \left(3\right)^{2}-10 \ln \left(3\right)^{2} {\mathrm e}^{x^{2}} x^{2}}{2 x^{3} \ln \left(3\right)^{2}-10 \ln \left(3\right)^{2} {\mathrm e}^{x^{2}} x^{2}+15}$&$51$\\ \hline \end{longtable}"," ",0,"-15/(2*x^3*ln(3)^2-10*ln(3)^2*exp(x^2)*x^2+15)","A"
6992,1,40,24,0.446000," ","int(((-4*exp(5)-10)*ln(4*exp(x))^2+(-8*x*exp(5)+4*x^2-20*x)*ln(4*exp(x))-4*x*exp(5)+x^2-10*x)/(8*x^2*ln(4*exp(x))^4+8*x^3*ln(4*exp(x))^2+2*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{5}-x +5}{x \left(16 \ln \left(2\right)^{2}+16 \ln \left(2\right) \ln \left({\mathrm e}^{x}\right)+4 \ln \left({\mathrm e}^{x}\right)^{2}+2 x \right)}$&$40$\\ default&$-\frac{-2 \,{\mathrm e}^{5}-5}{4 \left(\ln \left(4 \,{\mathrm e}^{x}\right)-x \right)^{2} x}+\frac{\left(-2 \,{\mathrm e}^{5}-5\right) x -4 \,{\mathrm e}^{5} \left(\ln \left(4 \,{\mathrm e}^{x}\right)-x \right)-\left(\ln \left(4 \,{\mathrm e}^{x}\right)-x \right)^{2}-{\mathrm e}^{5}-\frac{5}{2}-10 \ln \left(4 \,{\mathrm e}^{x}\right)+10 x}{4 \left(\ln \left(4 \,{\mathrm e}^{x}\right)-x \right)^{2} \left(x^{2}+2 x \left(\ln \left(4 \,{\mathrm e}^{x}\right)-x \right)+\left(\ln \left(4 \,{\mathrm e}^{x}\right)-x \right)^{2}+\frac{x}{2}\right)}$&$119$\\ \hline \end{longtable}"," ",0,"(2*exp(5)-x+5)/x/(16*ln(2)^2+16*ln(2)*ln(exp(x))+4*ln(exp(x))^2+2*x)","A"
6993,1,30,21,0.039000," ","int((2*(-4*x^4+x^2+3)*ln(2)+8*x^4-2*x^2-6)/(4*x^5+4*x^4+x^3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \left(\ln \left(2\right)-1\right) \left(3 \ln \left(x \right)-\ln \left(4 x^{4}+4 x^{3}+x^{2}+1\right)\right)$&$30$\\ norman&$\left(2-2 \ln \left(2\right)\right) \ln \left(4 x^{4}+4 x^{3}+x^{2}+1\right)+\left(6 \ln \left(2\right)-6\right) \ln \left(x \right)$&$34$\\ risch&$-2 \ln \left(4 x^{4}+4 x^{3}+x^{2}+1\right) \ln \left(2\right)+2 \ln \left(4 x^{4}+4 x^{3}+x^{2}+1\right)+6 \ln \left(2\right) \ln \left(x \right)-6 \ln \left(x \right)$&$50$\\ \hline \end{longtable}"," ",0,"2*(ln(2)-1)*(3*ln(x)-ln(4*x^4+4*x^3+x^2+1))","A"
6994,0,0,26,0.031000," ","int(((ln(x^2)-15*x)*ln(ln(x^2)-15*x)+(exp(4)-2*x)*ln(x^2)-15*x*exp(4)+30*x^2-15*x+2)/(((x*ln(x^2)-15*x^2)*ln(ln(x^2)-15*x)+(x*exp(4)-x^2)*ln(x^2)-15*x^2*exp(4)+15*x^3)*ln(x*ln(ln(x^2)-15*x)+x*exp(4)-x^2)+(-x*ln(5)^2*ln(x^2)+15*x^2*ln(5)^2)*ln(ln(x^2)-15*x)+(-x*exp(4)+x^2)*ln(5)^2*ln(x^2)+(15*x^2*exp(4)-15*x^3)*ln(5)^2),x)","\[\int \frac{\left(\ln \left(x^{2}\right)-15 x \right) \ln \left(\ln \left(x^{2}\right)-15 x \right)+\left({\mathrm e}^{4}-2 x \right) \ln \left(x^{2}\right)-15 x \,{\mathrm e}^{4}+30 x^{2}-15 x +2}{\left(\left(x \ln \left(x^{2}\right)-15 x^{2}\right) \ln \left(\ln \left(x^{2}\right)-15 x \right)+\left(x \,{\mathrm e}^{4}-x^{2}\right) \ln \left(x^{2}\right)-15 x^{2} {\mathrm e}^{4}+15 x^{3}\right) \ln \left(x \ln \left(\ln \left(x^{2}\right)-15 x \right)+x \,{\mathrm e}^{4}-x^{2}\right)+\left(-x \ln \left(5\right)^{2} \ln \left(x^{2}\right)+15 x^{2} \ln \left(5\right)^{2}\right) \ln \left(\ln \left(x^{2}\right)-15 x \right)+\left(-x \,{\mathrm e}^{4}+x^{2}\right) \ln \left(5\right)^{2} \ln \left(x^{2}\right)+\left(15 x^{2} {\mathrm e}^{4}-15 x^{3}\right) \ln \left(5\right)^{2}}\, dx\]"," ",0,"int(((ln(x^2)-15*x)*ln(ln(x^2)-15*x)+(exp(4)-2*x)*ln(x^2)-15*x*exp(4)+30*x^2-15*x+2)/(((x*ln(x^2)-15*x^2)*ln(ln(x^2)-15*x)+(x*exp(4)-x^2)*ln(x^2)-15*x^2*exp(4)+15*x^3)*ln(x*ln(ln(x^2)-15*x)+x*exp(4)-x^2)+(-x*ln(5)^2*ln(x^2)+15*x^2*ln(5)^2)*ln(ln(x^2)-15*x)+(-x*exp(4)+x^2)*ln(5)^2*ln(x^2)+(15*x^2*exp(4)-15*x^3)*ln(5)^2),x)","F"
6995,1,23,24,0.053000," ","int(((((2*x^2-1)*exp(x-1)^2+2*x^3+2*x^2-x-1)*ln(x)+exp(x-1)^2+x+1)*ln(exp(x-1)^2+x+1)+((2*x^3+2*x)*exp(x-1)^2+2*x^4+2*x^3+x)*ln(x)+x*exp(x-1)^2+x^2+x)*exp(ln(ln(x))+x^2)/(x^2*exp(x-1)^2+x^3+x^2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(\ln \left({\mathrm e}^{2 x -2}+x +1\right)+x \right) {\mathrm e}^{x^{2}} \ln \left(x \right)}{x}$&$23$\\ \hline \end{longtable}"," ",0,"(ln(exp(2*x-2)+x+1)+x)*exp(x^2)*ln(x)/x","A"
6996,1,30,27,0.055000," ","int((((9*x^2-9*x)*exp(1)*ln(5)+(27*x^2-27*x)*exp(1))*exp(x)*ln(x)+(81*ln(5)^2+486*ln(5)+729)*exp(x)^2+(18*x*ln(5)^2+90*x*ln(5)+108*x)*exp(x)+x^2*ln(5)^2+4*x^2*ln(5)+4*x^2)/((81*x*ln(5)^2+486*x*ln(5)+729*x)*exp(x)^2+(18*x^2*ln(5)^2+90*x^2*ln(5)+108*x^2)*exp(x)+x^3*ln(5)^2+4*x^3*ln(5)+4*x^3)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \,{\mathrm e}}{9 \,{\mathrm e}^{x} \ln \left(5\right)+x \ln \left(5\right)+27 \,{\mathrm e}^{x}+2 x}+\ln \left(\ln \left(x \right)\right)$&$30$\\ \hline \end{longtable}"," ",0,"-x*exp(1)/(9*exp(x)*ln(5)+x*ln(5)+27*exp(x)+2*x)+ln(ln(x))","A"
6997,1,29,26,0.044000," ","int(1/20*(5*exp(x)^2+15*exp(x)*x+15)*exp(exp(x))+1/20*(-4*x-4)*exp(x)-6/5*x+1/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(15 x -5+5 \,{\mathrm e}^{x}\right) {\mathrm e}^{{\mathrm e}^{x}}}{20}-\frac{{\mathrm e}^{x} x}{5}-\frac{3 x^{2}}{5}+\frac{x}{5}$&$29$\\ default&$\frac{x}{5}-\frac{3 x^{2}}{5}-\frac{{\mathrm e}^{x} x}{5}+\frac{{\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{x}}}{4}+\frac{3 x \,{\mathrm e}^{{\mathrm e}^{x}}}{4}-\frac{{\mathrm e}^{{\mathrm e}^{x}}}{4}$&$33$\\ norman&$\frac{x}{5}-\frac{3 x^{2}}{5}-\frac{{\mathrm e}^{x} x}{5}+\frac{{\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{x}}}{4}+\frac{3 x \,{\mathrm e}^{{\mathrm e}^{x}}}{4}-\frac{{\mathrm e}^{{\mathrm e}^{x}}}{4}$&$33$\\ \hline \end{longtable}"," ",0,"1/20*(15*x-5+5*exp(x))*exp(exp(x))-1/5*exp(x)*x-3/5*x^2+1/5*x","A"
6998,1,24,21,0.024000," ","int(1/3*((-8*x^2-4*x)*exp(x)^2+(-16*x^2-16*x)*exp(x)+2*x^2-19*x+3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{3}-\frac{19 x}{3}+\ln \left(x \right)-\frac{4 x \,{\mathrm e}^{2 x}}{3}-\frac{16 \,{\mathrm e}^{x} x}{3}$&$24$\\ norman&$\frac{x^{2}}{3}-\frac{19 x}{3}+\ln \left(x \right)-\frac{4 x \,{\mathrm e}^{2 x}}{3}-\frac{16 \,{\mathrm e}^{x} x}{3}$&$24$\\ risch&$\frac{x^{2}}{3}-\frac{19 x}{3}+\ln \left(x \right)-\frac{4 x \,{\mathrm e}^{2 x}}{3}-\frac{16 \,{\mathrm e}^{x} x}{3}$&$24$\\ \hline \end{longtable}"," ",0,"1/3*x^2-19/3*x+ln(x)-4/3*x*exp(x)^2-16/3*exp(x)*x","A"
6999,1,8,12,0.014000," ","int(-exp(4)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{4}}{2 x^{2}}$&$8$\\ default&$\frac{{\mathrm e}^{4}}{2 x^{2}}$&$8$\\ norman&$\frac{{\mathrm e}^{4}}{2 x^{2}}$&$8$\\ risch&$\frac{{\mathrm e}^{4}}{2 x^{2}}$&$8$\\ \hline \end{longtable}"," ",0,"1/2*exp(4)/x^2","A"
7000,1,16,22,0.028000," ","int(1/2*((2*x^4+2*x^3)*exp(x)-exp(2)+14*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$7 x +\frac{{\mathrm e}^{2}}{4 x^{2}}+{\mathrm e}^{x} x$&$16$\\ risch&$7 x +\frac{{\mathrm e}^{2}}{4 x^{2}}+{\mathrm e}^{x} x$&$16$\\ norman&$\frac{{\mathrm e}^{x} x^{3}+7 x^{3}+\frac{{\mathrm e}^{2}}{4}}{x^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"7*x+1/4*exp(2)/x^2+exp(x)*x","A"
7001,1,42,26,0.023000," ","int(1/3*((3*x^2+10*x)*exp(9)+45*x^2+150*x)*ln(5)-exp(2)-3*x^2-10*x-5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-{\mathrm e}^{2}-5\right) x +\left(\frac{\ln \left(5\right) {\mathrm e}^{9}}{3}+5 \ln \left(5\right)-1\right) x^{3}+\left(\frac{5 \ln \left(5\right) {\mathrm e}^{9}}{3}+25 \ln \left(5\right)-5\right) x^{2}$&$42$\\ gosper&$-\frac{x \left(-\ln \left(5\right) {\mathrm e}^{9} x^{2}-5 \ln \left(5\right) {\mathrm e}^{9} x -15 x^{2} \ln \left(5\right)-75 x \ln \left(5\right)+3 x^{2}+3 \,{\mathrm e}^{2}+15 x +15\right)}{3}$&$46$\\ default&$\frac{\ln \left(5\right) \left({\mathrm e}^{9} \left(x^{3}+5 x^{2}\right)+15 x^{3}+75 x^{2}\right)}{3}-{\mathrm e}^{2} x -x^{3}-5 x^{2}-5 x$&$47$\\ risch&$\frac{\ln \left(5\right) x^{3} {\mathrm e}^{9}}{3}+5 x^{3} \ln \left(5\right)+\frac{5 \ln \left(5\right) {\mathrm e}^{9} x^{2}}{3}+25 x^{2} \ln \left(5\right)-{\mathrm e}^{2} x -x^{3}-5 x^{2}-5 x$&$52$\\ \hline \end{longtable}"," ",0,"(-exp(2)-5)*x+(1/3*ln(5)*exp(9)+5*ln(5)-1)*x^3+(5/3*ln(5)*exp(9)+25*ln(5)-5)*x^2","A"
7002,1,199,33,0.297000," ","int(((((x+1)*exp(3)-x^2+5*x+6)*ln(4*x+4)+(-x^2-x)*exp(3)+x^3-5*x^2-6*x)*ln(-ln(4*x+4)+x)*ln((exp(3)-x+6)*ln(-ln(4*x+4)+x))+(((x^2+x)*exp(3)-x^3+6*x^2+7*x)*ln(4*x+4)+(-x^3-x^2)*exp(3)+x^4-6*x^3-7*x^2)*ln(-ln(4*x+4)+x)+x^2*exp(3)-x^3+6*x^2)/(((x^2+x)*exp(3)-x^3+5*x^2+6*x)*ln(4*x+4)+(-x^3-x^2)*exp(3)+x^4-5*x^3-6*x^2)/ln(-ln(4*x+4)+x)/exp((ln((exp(3)-x+6)*ln(-ln(4*x+4)+x))-x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i \ln \left(-\ln \left(4 x +4\right)+x \right) \left({\mathrm e}^{3}-x +6\right)\right)^{3}-i \pi  \mathrm{csgn}\left(i \ln \left(-\ln \left(4 x +4\right)+x \right) \left({\mathrm e}^{3}-x +6\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(-\ln \left(4 x +4\right)+x \right)\right)-i \pi  \mathrm{csgn}\left(i \ln \left(-\ln \left(4 x +4\right)+x \right) \left({\mathrm e}^{3}-x +6\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{3}-x +6\right)\right)+i \pi  \,\mathrm{csgn}\left(i \ln \left(-\ln \left(4 x +4\right)+x \right) \left({\mathrm e}^{3}-x +6\right)\right) \mathrm{csgn}\left(i \ln \left(-\ln \left(4 x +4\right)+x \right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{3}-x +6\right)\right)-2 \ln \left(\ln \left(-\ln \left(4 x +4\right)+x \right)\right)-2 \ln \left({\mathrm e}^{3}-x +6\right)+2 x}{2 x}}$&$199$\\ \hline \end{longtable}"," ",0,"x*exp(1/2*(I*Pi*csgn(I*ln(-ln(4*x+4)+x)*(exp(3)-x+6))^3-I*Pi*csgn(I*ln(-ln(4*x+4)+x)*(exp(3)-x+6))^2*csgn(I*ln(-ln(4*x+4)+x))-I*Pi*csgn(I*ln(-ln(4*x+4)+x)*(exp(3)-x+6))^2*csgn(I*(exp(3)-x+6))+I*Pi*csgn(I*ln(-ln(4*x+4)+x)*(exp(3)-x+6))*csgn(I*ln(-ln(4*x+4)+x))*csgn(I*(exp(3)-x+6))-2*ln(ln(-ln(4*x+4)+x))-2*ln(exp(3)-x+6)+2*x)/x)","C"
7003,1,15,21,0.050000," ","int(((-3*x^2+2*x)*exp(x+26)-4*exp(x))/exp(x+26),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{3}+x^{2}-4 x \,{\mathrm e}^{-26}$&$15$\\ default&$-x^{3}+x^{2}-4 x \,{\mathrm e}^{-26}$&$17$\\ norman&$\left({\mathrm e}^{x} x^{2}-{\mathrm e}^{x} x^{3}-4 \,{\mathrm e}^{-26} x \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}$&$29$\\ meijerg&$-\frac{3 \,{\mathrm e}^{x \,{\mathrm e}^{-26}-x +78} \left(2-\frac{\left(3 x^{2} {\mathrm e}^{-52} \left(-{\mathrm e}^{26}+1\right)^{2}+6 x \,{\mathrm e}^{-26} \left(-{\mathrm e}^{26}+1\right)+6\right) {\mathrm e}^{-x \,{\mathrm e}^{-26} \left(-{\mathrm e}^{26}+1\right)}}{3}\right)}{\left(-{\mathrm e}^{26}+1\right)^{3}}+\frac{2 \,{\mathrm e}^{x \,{\mathrm e}^{-26}-x +52} \left(1-\frac{\left(2+2 x \,{\mathrm e}^{-26} \left(-{\mathrm e}^{26}+1\right)\right) {\mathrm e}^{-x \,{\mathrm e}^{-26} \left(-{\mathrm e}^{26}+1\right)}}{2}\right)}{\left(-{\mathrm e}^{26}+1\right)^{2}}-\frac{4 \,{\mathrm e}^{x \,{\mathrm e}^{-26}-x} \left(1-{\mathrm e}^{-x \,{\mathrm e}^{-26} \left(-{\mathrm e}^{26}+1\right)}\right)}{-{\mathrm e}^{26}+1}$&$150$\\ \hline \end{longtable}"," ",0,"-x^3+x^2-4*x*exp(-26)","A"
7004,1,30,23,0.036000," ","int(((-27*x^3+270*x^2-912*x+1064)*exp(x)-80*x)/(27*x^3-270*x^2+900*x-1000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{80 x}{3}+60 \,{\mathrm e}^{x} x -9 \,{\mathrm e}^{x} x^{2}-104 \,{\mathrm e}^{x}-\frac{400}{9}}{\left(3 x -10\right)^{2}}$&$30$\\ default&$\frac{400}{9 \left(3 x -10\right)^{2}}+\frac{80}{9 \left(3 x -10\right)}-\frac{4 \,{\mathrm e}^{x}}{9 \left(x -\frac{10}{3}\right)^{2}}-{\mathrm e}^{x}$&$33$\\ risch&$\frac{\frac{80 x}{27}-\frac{400}{81}}{x^{2}-\frac{20}{3} x +\frac{100}{9}}-\frac{\left(9 x^{2}-60 x +104\right) {\mathrm e}^{x}}{\left(3 x -10\right)^{2}}$&$39$\\ \hline \end{longtable}"," ",0,"(80/3*x+60*exp(x)*x-9*exp(x)*x^2-104*exp(x)-400/9)/(3*x-10)^2","A"
7005,1,15,16,0.027000," ","int((3*exp(4)^2+12*x^7+x^4)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x^{4}+x -\frac{{\mathrm e}^{8}}{x^{3}}$&$15$\\ risch&$3 x^{4}+x -\frac{{\mathrm e}^{8}}{x^{3}}$&$15$\\ norman&$\frac{3 x^{7}+x^{4}-{\mathrm e}^{8}}{x^{3}}$&$20$\\ gosper&$-\frac{-3 x^{7}-x^{4}+{\mathrm e}^{8}}{x^{3}}$&$21$\\ \hline \end{longtable}"," ",0,"3*x^4+x-exp(8)/x^3","A"
7006,1,368,22,15.830000," ","int(((40*x^4+40)*ln(exp(5*x)/(x^9+2*x^5+x))+(100*x^5-180*x^4+100*x-20)*ln(x^2))/(x^5+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$40 \ln \left(x \right) \ln \left(\frac{{\mathrm e}^{5 x}}{x^{9}+2 x^{5}+x}\right)+40 \ln \left(x \right)^{2}-200 x \ln \left(x \right)+80 \ln \left(x \right) \ln \left(\frac{\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}-x}{\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}}\right)+80 \dilog \left(\frac{\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}-x}{\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}}\right)+80 \ln \left(x \right) \ln \left(\frac{-\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}-x}{-\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}}\right)+80 \dilog \left(\frac{-\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}-x}{-\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}}\right)+80 \ln \left(x \right) \ln \left(\frac{-\frac{\sqrt{2}}{2}-\frac{i \sqrt{2}}{2}-x}{-\frac{\sqrt{2}}{2}-\frac{i \sqrt{2}}{2}}\right)+80 \dilog \left(\frac{-\frac{\sqrt{2}}{2}-\frac{i \sqrt{2}}{2}-x}{-\frac{\sqrt{2}}{2}-\frac{i \sqrt{2}}{2}}\right)+80 \ln \left(x \right) \ln \left(\frac{\frac{\sqrt{2}}{2}-\frac{i \sqrt{2}}{2}-x}{\frac{\sqrt{2}}{2}-\frac{i \sqrt{2}}{2}}\right)+80 \dilog \left(\frac{\frac{\sqrt{2}}{2}-\frac{i \sqrt{2}}{2}-x}{\frac{\sqrt{2}}{2}-\frac{i \sqrt{2}}{2}}\right)+100 x \ln \left(x^{2}\right)-20 \ln \left(x \right) \ln \left(x^{2}\right)+20 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha  =\RootOf \left(\textit{\_Z}^{4}+1\right)}{\sum}\left(-2 \ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(x^{2}\right)+4 \dilog \left(\frac{x}{\underline{\hspace{1.25 ex}}\alpha}\right)+4 \ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{x}{\underline{\hspace{1.25 ex}}\alpha}\right)\right)\right)$&$368$\\ risch&$\text{Expression too large to display}$&$2623$\\ \hline \end{longtable}"," ",0,"40*ln(x)*ln(exp(5*x)/(x^9+2*x^5+x))+40*ln(x)^2-200*x*ln(x)+80*ln(x)*ln((1/2*2^(1/2)+1/2*I*2^(1/2)-x)/(1/2*2^(1/2)+1/2*I*2^(1/2)))+80*dilog((1/2*2^(1/2)+1/2*I*2^(1/2)-x)/(1/2*2^(1/2)+1/2*I*2^(1/2)))+80*ln(x)*ln((-1/2*2^(1/2)+1/2*I*2^(1/2)-x)/(-1/2*2^(1/2)+1/2*I*2^(1/2)))+80*dilog((-1/2*2^(1/2)+1/2*I*2^(1/2)-x)/(-1/2*2^(1/2)+1/2*I*2^(1/2)))+80*ln(x)*ln((-1/2*2^(1/2)-1/2*I*2^(1/2)-x)/(-1/2*2^(1/2)-1/2*I*2^(1/2)))+80*dilog((-1/2*2^(1/2)-1/2*I*2^(1/2)-x)/(-1/2*2^(1/2)-1/2*I*2^(1/2)))+80*ln(x)*ln((1/2*2^(1/2)-1/2*I*2^(1/2)-x)/(1/2*2^(1/2)-1/2*I*2^(1/2)))+80*dilog((1/2*2^(1/2)-1/2*I*2^(1/2)-x)/(1/2*2^(1/2)-1/2*I*2^(1/2)))+100*x*ln(x^2)-20*ln(x)*ln(x^2)+20*Sum(-2*ln(x-_alpha)*ln(x^2)+4*dilog(x/_alpha)+4*ln(x-_alpha)*ln(x/_alpha),_alpha=RootOf(_Z^4+1))","C"
7007,1,42,21,0.079000," ","int(((-x*ln(x)^2+2*x^6*ln(x)+(-5*x^5+1)*ln(2)-x^11)*exp(((81*x+256)*ln(x)+81*ln(2)-81*x^6-256*x^5)/(81*ln(x)-81*x^5))+x*ln(x)^2-2*x^6*ln(x)+x^11)/(x*ln(x)^2-2*x^6*ln(x)+x^11),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -{\mathrm e}^{\frac{-81 x^{6}-256 x^{5}+81 x \ln \left(x \right)+256 \ln \left(x \right)+81 \ln \left(2\right)}{81 \ln \left(x \right)-81 x^{5}}}$&$42$\\ \hline \end{longtable}"," ",0,"x-exp(1/81*(-81*x^6-256*x^5+81*x*ln(x)+256*ln(x)+81*ln(2))/(ln(x)-x^5))","A"
7008,1,453,30,0.333000," ","int((((exp(25)+3-x)*ln(x)+(-exp(25)^2+(2*x-6)*exp(25)-x^2+6*x-9)*exp(x+1)+x*exp(25)^2+(-2*x^2+6*x)*exp(25)+x^3-6*x^2+9*x)*ln((x*exp(25)-x^2+3*x)/(ln(x)+(-exp(25)+x-3)*exp(x+1)+x*exp(25)-x^2+3*x))*ln(ln((x*exp(25)-x^2+3*x)/(ln(x)+(-exp(25)+x-3)*exp(x+1)+x*exp(25)-x^2+3*x)))+(-exp(25)+2*x-3)*ln(x)+((1-x)*exp(25)^2+(2*x^2-8*x+6)*exp(25)-x^3+7*x^2-15*x+9)*exp(x+1)+exp(25)+3-x)/((exp(25)+3-x)*ln(x)+(-exp(25)^2+(2*x-6)*exp(25)-x^2+6*x-9)*exp(x+1)+x*exp(25)^2+(-2*x^2+6*x)*exp(25)+x^3-6*x^2+9*x)/ln((x*exp(25)-x^2+3*x)/(ln(x)+(-exp(25)+x-3)*exp(x+1)+x*exp(25)-x^2+3*x))/ln(ln((x*exp(25)-x^2+3*x)/(ln(x)+(-exp(25)+x-3)*exp(x+1)+x*exp(25)-x^2+3*x)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{\ln \left(\ln \left(x \right)+\ln \left({\mathrm e}^{25}+3-x \right)-\ln \left(\left(x -{\mathrm e}^{x +1}\right) {\mathrm e}^{25}-x^{2}+\left({\mathrm e}^{x +1}+3\right) x -3 \,{\mathrm e}^{x +1}+\ln \left(x \right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{25}+3-x \right)}{\left(x -{\mathrm e}^{x +1}\right) {\mathrm e}^{25}-x^{2}+\left({\mathrm e}^{x +1}+3\right) x -3 \,{\mathrm e}^{x +1}+\ln \left(x \right)}\right) \left(-\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{25}+3-x \right)}{\left(x -{\mathrm e}^{x +1}\right) {\mathrm e}^{25}-x^{2}+\left({\mathrm e}^{x +1}+3\right) x -3 \,{\mathrm e}^{x +1}+\ln \left(x \right)}\right)+\mathrm{csgn}\left(i \left({\mathrm e}^{25}+3-x \right)\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{25}+3-x \right)}{\left(x -{\mathrm e}^{x +1}\right) {\mathrm e}^{25}-x^{2}+\left({\mathrm e}^{x +1}+3\right) x -3 \,{\mathrm e}^{x +1}+\ln \left(x \right)}\right)+\mathrm{csgn}\left(\frac{i}{\left(x -{\mathrm e}^{x +1}\right) {\mathrm e}^{25}-x^{2}+\left({\mathrm e}^{x +1}+3\right) x -3 \,{\mathrm e}^{x +1}+\ln \left(x \right)}\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{25}+3-x \right)}{\left(x -{\mathrm e}^{x +1}\right) {\mathrm e}^{25}-x^{2}+\left({\mathrm e}^{x +1}+3\right) x -3 \,{\mathrm e}^{x +1}+\ln \left(x \right)}\right) \left(-\mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{25}+3-x \right)}{\left(x -{\mathrm e}^{x +1}\right) {\mathrm e}^{25}-x^{2}+\left({\mathrm e}^{x +1}+3\right) x -3 \,{\mathrm e}^{x +1}+\ln \left(x \right)}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(\frac{i x \left({\mathrm e}^{25}+3-x \right)}{\left(x -{\mathrm e}^{x +1}\right) {\mathrm e}^{25}-x^{2}+\left({\mathrm e}^{x +1}+3\right) x -3 \,{\mathrm e}^{x +1}+\ln \left(x \right)}\right)+\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{25}+3-x \right)}{\left(x -{\mathrm e}^{x +1}\right) {\mathrm e}^{25}-x^{2}+\left({\mathrm e}^{x +1}+3\right) x -3 \,{\mathrm e}^{x +1}+\ln \left(x \right)}\right)\right)}{2}\right)}$&$453$\\ \hline \end{longtable}"," ",0,"x/ln(ln(x)+ln(exp(25)+3-x)-ln((x-exp(x+1))*exp(25)-x^2+(exp(x+1)+3)*x-3*exp(x+1)+ln(x))-1/2*I*Pi*csgn(I*(exp(25)+3-x)/((x-exp(x+1))*exp(25)-x^2+(exp(x+1)+3)*x-3*exp(x+1)+ln(x)))*(-csgn(I*(exp(25)+3-x)/((x-exp(x+1))*exp(25)-x^2+(exp(x+1)+3)*x-3*exp(x+1)+ln(x)))+csgn(I*(exp(25)+3-x)))*(-csgn(I*(exp(25)+3-x)/((x-exp(x+1))*exp(25)-x^2+(exp(x+1)+3)*x-3*exp(x+1)+ln(x)))+csgn(I/((x-exp(x+1))*exp(25)-x^2+(exp(x+1)+3)*x-3*exp(x+1)+ln(x))))-1/2*I*Pi*csgn(I*x/((x-exp(x+1))*exp(25)-x^2+(exp(x+1)+3)*x-3*exp(x+1)+ln(x))*(exp(25)+3-x))*(-csgn(I*x/((x-exp(x+1))*exp(25)-x^2+(exp(x+1)+3)*x-3*exp(x+1)+ln(x))*(exp(25)+3-x))+csgn(I*x))*(-csgn(I*x/((x-exp(x+1))*exp(25)-x^2+(exp(x+1)+3)*x-3*exp(x+1)+ln(x))*(exp(25)+3-x))+csgn(I*(exp(25)+3-x)/((x-exp(x+1))*exp(25)-x^2+(exp(x+1)+3)*x-3*exp(x+1)+ln(x)))))","C"
7009,1,27,25,0.135000," ","int((((x^2+x)*exp(x)+x^2-1)*ln(((-x^2-x)*exp(x)-x^2+1)/x)+(x^3+2*x^2)*exp(x)+x^2+1)/((x^2+x)*exp(x)+x^2-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\frac{\left(-x^{2}-x \right) {\mathrm e}^{x}-x^{2}+1}{x}\right)$&$27$\\ risch&$x \ln \left(-1+\left({\mathrm e}^{x}+1\right) x^{2}+{\mathrm e}^{x} x \right)-x \ln \left(x \right)-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-1+\left({\mathrm e}^{x}+1\right) x^{2}+{\mathrm e}^{x} x \right)\right) \mathrm{csgn}\left(\frac{i \left(-1+\left({\mathrm e}^{x}+1\right) x^{2}+{\mathrm e}^{x} x \right)}{x}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-1+\left({\mathrm e}^{x}+1\right) x^{2}+{\mathrm e}^{x} x \right)}{x}\right)^{2}}{2}-i \pi  x \mathrm{csgn}\left(\frac{i \left(-1+\left({\mathrm e}^{x}+1\right) x^{2}+{\mathrm e}^{x} x \right)}{x}\right)^{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(-1+\left({\mathrm e}^{x}+1\right) x^{2}+{\mathrm e}^{x} x \right)\right) \mathrm{csgn}\left(\frac{i \left(-1+\left({\mathrm e}^{x}+1\right) x^{2}+{\mathrm e}^{x} x \right)}{x}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(-1+\left({\mathrm e}^{x}+1\right) x^{2}+{\mathrm e}^{x} x \right)}{x}\right)^{3}}{2}+i \pi  x$&$217$\\ \hline \end{longtable}"," ",0,"x*ln(((-x^2-x)*exp(x)-x^2+1)/x)","A"
7010,1,20,21,0.026000," ","int((8*ln(x/exp(3))-x)*exp(4*ln(x/exp(3))^2-exp(2)-x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{4 \ln \left(x \,{\mathrm e}^{-3}\right)^{2}-{\mathrm e}^{2}-x +1}$&$20$\\ norman&${\mathrm e}^{4 \ln \left(x \,{\mathrm e}^{-3}\right)^{2}-{\mathrm e}^{2}-x +1}$&$22$\\ \hline \end{longtable}"," ",0,"exp(4*ln(x*exp(-3))^2-exp(2)-x+1)","A"
7011,1,52,24,0.103000," ","int(((x^2*(ln(2)+I*Pi)*exp(x)*ln(x)+x*(ln(2)+I*Pi)*exp(x))*ln(4*exp(2/x))-2*(ln(2)+I*Pi)*exp(x)*ln(x)+x^2*(ln(2)+I*Pi)*exp(x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\ln \left(2\right)+i \pi \right) {\mathrm e}^{x} \ln \left(x \right) \ln \left({\mathrm e}^{\frac{2}{x}}\right)+2 i \pi  \ln \left(2\right) {\mathrm e}^{x} \ln \left(x \right)+2 \ln \left(2\right)^{2} {\mathrm e}^{x} \ln \left(x \right)+i \pi  \,{\mathrm e}^{x}+{\mathrm e}^{x} \ln \left(2\right)$&$52$\\ default&$\frac{x \left(\ln \left(2\right)+i \pi \right) {\mathrm e}^{x}+\left(2 \ln \left(2\right)+2 i \pi \right) {\mathrm e}^{x} \ln \left(x \right)+\left(\ln \left(2\right) \left(\ln \left(4 \,{\mathrm e}^{\frac{2}{x}}\right)-\frac{2}{x}\right)+i \pi  \left(\ln \left(4 \,{\mathrm e}^{\frac{2}{x}}\right)-\frac{2}{x}\right)\right) x \,{\mathrm e}^{x} \ln \left(x \right)}{x}$&$75$\\ \hline \end{longtable}"," ",0,"(ln(2)+I*Pi)*exp(x)*ln(x)*ln(exp(2/x))+2*I*Pi*ln(2)*exp(x)*ln(x)+2*ln(2)^2*exp(x)*ln(x)+I*Pi*exp(x)+exp(x)*ln(2)","B"
7012,1,22,20,0.048000," ","int((-192*exp((-x+4)/x)+8*x)*exp(12*exp((-x+4)/x))+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +4 x^{2} {\mathrm e}^{12 \,{\mathrm e}^{-\frac{x -4}{x}}}$&$22$\\ default&$2 x +4 x^{2} {\mathrm e}^{12 \,{\mathrm e}^{\frac{-x +4}{x}}}$&$23$\\ norman&$2 x +4 x^{2} {\mathrm e}^{12 \,{\mathrm e}^{\frac{-x +4}{x}}}$&$23$\\ \hline \end{longtable}"," ",0,"2*x+4*x^2*exp(12*exp(-(x-4)/x))","A"
7013,1,38,30,0.052000," ","int((2*x*exp(3-ln(x))-2*ln(x)+(-x^3+x)*ln(5)+3*x^5+2*x^3+x^2-x+1)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{{\mathrm e}^{3}}{x^{2}}+x^{3}-x \ln \left(5\right)+2 x +\ln \left(x \right)-\frac{\ln \left(5\right)}{x}+\frac{1}{x}+\frac{\ln \left(x \right)}{x^{2}}$&$38$\\ norman&$\frac{x^{5}+\left(2-\ln \left(5\right)\right) x^{3}+\left(-\ln \left(5\right)+1\right) x +x^{2} \ln \left(x \right)-{\mathrm e}^{3}+\ln \left(x \right)}{x^{2}}$&$39$\\ risch&$\frac{\ln \left(x \right)}{x^{2}}+\frac{x^{5}-x^{3} \ln \left(5\right)+x^{2} \ln \left(x \right)+2 x^{3}-x \ln \left(5\right)-{\mathrm e}^{3}+x}{x^{2}}$&$44$\\ \hline \end{longtable}"," ",0,"-exp(3)/x^2+x^3-x*ln(5)+2*x+ln(x)-ln(5)/x+1/x+ln(x)/x^2","A"
7014,1,51,33,0.051000," ","int(((-4*x^3*ln(5)+20*x^2)*ln(x)^2+((x*ln(5)-5)*ln((-x*ln(5)+5)/ln(5))+(4*x^3+4*x)*ln(5)-20*x^2-25)*ln(x)+(x*ln(5)-5)*ln((-x*ln(5)+5)/ln(5))+(-4*x^3+5*x)*ln(5)+20*x^2-25)/(((4*x^3*exp(3)-4*x^4-12*x^3)*ln(5)-20*x^2*exp(3)+20*x^3+60*x^2)*ln(x)^2+((-x^2*ln(5)+5*x)*ln((-x*ln(5)+5)/ln(5))+(4*x^4-5*x^2)*ln(5)-20*x^3+25*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)-\ln \left(\ln \left(x \right)\right)+\ln \left(-4 x \,{\mathrm e}^{3} \ln \left(x \right)+4 x^{2} \ln \left(x \right)-4 x^{2}+12 x \ln \left(x \right)+\ln \left(\frac{-x \ln \left(5\right)+5}{\ln \left(5\right)}\right)+5\right)$&$51$\\ \hline \end{longtable}"," ",0,"-ln(x)-ln(ln(x))+ln(-4*x*exp(3)*ln(x)+4*x^2*ln(x)-4*x^2+12*x*ln(x)+ln((-x*ln(5)+5)/ln(5))+5)","A"
7015,1,10,22,0.018000," ","int((x^4+2*x^2-2*x+1)/(x^4+2*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{1}{x^{2}+1}$&$10$\\ risch&$x +\frac{1}{x^{2}+1}$&$10$\\ gosper&$\frac{x^{3}+x +1}{x^{2}+1}$&$15$\\ norman&$\frac{x^{3}+x +1}{x^{2}+1}$&$15$\\ \hline \end{longtable}"," ",0,"x+1/(x^2+1)","A"
7016,1,39,26,0.042000," ","int((16*x^10+64*x^8+256*x^6-336*x^4-288*x^2-864)*ln((x^6+2*x^4+6*x^2+9)/(x^5+2*x^3+6*x))/((4*x^11+16*x^9+64*x^7+132*x^5+216*x^3+216*x)*ln((x^6+2*x^4+6*x^2+9)/(x^5+2*x^3+6*x))^2+x^11+4*x^9+16*x^7+33*x^5+54*x^3+54*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(\ln \left(\frac{x^{6}+2 x^{4}+6 x^{2}+9}{x^{5}+2 x^{3}+6 x}\right)^{2}+\frac{1}{4}\right)$&$39$\\ \hline \end{longtable}"," ",0,"2*ln(ln((x^6+2*x^4+6*x^2+9)/(x^5+2*x^3+6*x))^2+1/4)","A"
7017,1,22,23,0.072000," ","int(((-1024*x^4+1024*x^2-48*x-256)*ln(16*x^4-16*x^2+3/4*x+4)+1024*x^4-512*x^2+12*x)*exp(ln(16*x^4-16*x^2+3/4*x+4)/x^4)/(64*x^9-64*x^7+3*x^6+16*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \left(16 x^{4}-16 x^{2}+\frac{3}{4} x +4\right)^{\frac{1}{x^{4}}}$&$22$\\ \hline \end{longtable}"," ",0,"4*(16*x^4-16*x^2+3/4*x+4)^(1/x^4)","A"
7018,1,11,11,0.041000," ","int((exp(x)^2+(11-x)*exp(x)+30)/(exp(x)^2+10*exp(x)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x}{{\mathrm e}^{x}+5}$&$11$\\ norman&$\frac{{\mathrm e}^{x} x +6 x}{{\mathrm e}^{x}+5}$&$16$\\ default&$\frac{6 \ln \left({\mathrm e}^{x}\right)}{5}-\frac{x \,{\mathrm e}^{x}}{5 \left({\mathrm e}^{x}+5\right)}$&$18$\\ \hline \end{longtable}"," ",0,"x+x/(exp(x)+5)","A"
7019,1,37,26,0.093000," ","int(1/2*(-16*x*exp(1/2*(8*ln(2)+x)/ln(2))^2-24*x*exp(1/2*(8*ln(2)+x)/ln(2))+2*(2*x+2)*ln(2))*exp(-4*exp(1/2*(8*ln(2)+x)/ln(2))^2-12*exp(1/2*(8*ln(2)+x)/ln(2))+x-9)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \,{\mathrm e}^{-4 \,{\mathrm e}^{\frac{8 \ln \left(2\right)+x}{\ln \left(2\right)}}-12 \,{\mathrm e}^{\frac{8 \ln \left(2\right)+x}{2 \ln \left(2\right)}}+x -9}$&$37$\\ norman&$2 x \,{\mathrm e}^{-4 \,{\mathrm e}^{\frac{8 \ln \left(2\right)+x}{\ln \left(2\right)}}-12 \,{\mathrm e}^{\frac{8 \ln \left(2\right)+x}{2 \ln \left(2\right)}}+x -9}$&$40$\\ \hline \end{longtable}"," ",0,"2*x*exp(-4*exp((8*ln(2)+x)/ln(2))-12*exp(1/2*(8*ln(2)+x)/ln(2))+x-9)","A"
7020,1,50,19,0.157000," ","int((ln(-3*x^2/exp(exp(x)))+(2-exp(x)*x)*ln(x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{x} \ln \left(x \right)+2 \ln \left(x \right)^{2}-\left(\ln \left({\mathrm e}^{{\mathrm e}^{x}}\right)-{\mathrm e}^{x}\right) \ln \left(x \right)+\left(\ln \left(-3 x^{2} {\mathrm e}^{-{\mathrm e}^{x}}\right)-2 \ln \left(x \right)+\ln \left({\mathrm e}^{{\mathrm e}^{x}}\right)\right) \ln \left(x \right)$&$50$\\ risch&$-\ln \left(x \right) \ln \left({\mathrm e}^{{\mathrm e}^{x}}\right)+2 \ln \left(x \right)^{2}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}+i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{x}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-{\mathrm e}^{x}}\right)}{2}+\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-{\mathrm e}^{x}}\right)^{2}}{2}-i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-{\mathrm e}^{x}}\right)^{2}+\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{x}}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-{\mathrm e}^{x}}\right)^{2}}{2}+\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-{\mathrm e}^{x}}\right)^{3}}{2}+i \pi  \ln \left(x \right)+\ln \left(3\right) \ln \left(x \right)$&$212$\\ \hline \end{longtable}"," ",0,"-exp(x)*ln(x)+2*ln(x)^2-(ln(exp(exp(x)))-exp(x))*ln(x)+(ln(-3*x^2/exp(exp(x)))-2*ln(x)+ln(exp(exp(x))))*ln(x)","B"
7021,1,19,26,0.267000," ","int(((-ln(5)+1+exp(1))*exp((ln(5)-exp(1)-x-1)/x)*exp(exp((ln(5)-exp(1)-x-1)/x))+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{{\mathrm e}^{-\frac{-\ln \left(5\right)+{\mathrm e}+x +1}{x}}}$&$19$\\ norman&$\frac{x^{2}+x \,{\mathrm e}^{{\mathrm e}^{\frac{\ln \left(5\right)-{\mathrm e}-x -1}{x}}}}{x}$&$28$\\ default&$x -\frac{{\mathrm e}^{-1} {\mathrm e} \,{\mathrm e}^{{\mathrm e}^{\frac{\ln \left(5\right)}{x}} {\mathrm e}^{-\frac{{\mathrm e}}{x}} {\mathrm e}^{-1} {\mathrm e}^{-\frac{1}{x}}}}{\ln \left(5\right)-{\mathrm e}-1}-\frac{{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{\frac{\ln \left(5\right)}{x}} {\mathrm e}^{-\frac{{\mathrm e}}{x}} {\mathrm e}^{-1} {\mathrm e}^{-\frac{1}{x}}}}{\ln \left(5\right)-{\mathrm e}-1}+\frac{{\mathrm e}^{-1} {\mathrm e} \ln \left(5\right) {\mathrm e}^{{\mathrm e}^{\frac{\ln \left(5\right)}{x}} {\mathrm e}^{-\frac{{\mathrm e}}{x}} {\mathrm e}^{-1} {\mathrm e}^{-\frac{1}{x}}}}{\ln \left(5\right)-{\mathrm e}-1}$&$138$\\ \hline \end{longtable}"," ",0,"x+exp(exp(-(-ln(5)+exp(1)+x+1)/x))","A"
7022,1,22,24,0.171000," ","int((((2*x^2+132*x)*exp(3)+2*x^3+132*x^2)*ln(x^2/(exp(3)+x))+(2*x^2+264*x+1800)*exp(3)+x^3+132*x^2+900*x)*exp(1/36*(x^2+132*x+900)*ln(x^2/(exp(3)+x)))/(36*x*exp(3)+36*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{x^{2}}{{\mathrm e}^{3}+x}\right)^{\frac{1}{36} x^{2}+\frac{11}{3} x +25}$&$22$\\ norman&${\mathrm e}^{\frac{\left(x^{2}+132 x +900\right) \ln \left(\frac{x^{2}}{{\mathrm e}^{3}+x}\right)}{36}}$&$23$\\ \hline \end{longtable}"," ",0,"(x^2/(exp(3)+x))^(1/36*x^2+11/3*x+25)","A"
7023,1,16,20,0.164000," ","int(((-6*ln(2)+2*x^2)*exp((2*ln(2)-2*x^2)/x^3)+x^3)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4^{\frac{1}{x^{3}}} {\mathrm e}^{-\frac{2}{x}}+\ln \left(x \right)$&$16$\\ norman&${\mathrm e}^{\frac{2 \ln \left(2\right)-2 x^{2}}{x^{3}}}+\ln \left(x \right)$&$19$\\ \hline \end{longtable}"," ",0,"4^(1/x^3)*exp(-2/x)+ln(x)","A"
7024,0,0,23,0.016000," ","int((-2*ln(x^2)*ln(x*ln(x^2))*ln(3*ln(x*ln(x^2)))+2*ln(x^2)*ln(x*ln(x^2))+2*ln(x^2)+4)/(2*x*ln(x^2)*ln(x*ln(x^2))*ln(3*ln(x*ln(x^2)))+(-3*x^2-2*x)*ln(x^2)*ln(x*ln(x^2))),x)","\[\int \frac{-2 \ln \left(x^{2}\right) \ln \left(x \ln \left(x^{2}\right)\right) \ln \left(3 \ln \left(x \ln \left(x^{2}\right)\right)\right)+2 \ln \left(x^{2}\right) \ln \left(x \ln \left(x^{2}\right)\right)+2 \ln \left(x^{2}\right)+4}{2 x \ln \left(x^{2}\right) \ln \left(x \ln \left(x^{2}\right)\right) \ln \left(3 \ln \left(x \ln \left(x^{2}\right)\right)\right)+\left(-3 x^{2}-2 x \right) \ln \left(x^{2}\right) \ln \left(x \ln \left(x^{2}\right)\right)}\, dx\]"," ",0,"int((-2*ln(x^2)*ln(x*ln(x^2))*ln(3*ln(x*ln(x^2)))+2*ln(x^2)*ln(x*ln(x^2))+2*ln(x^2)+4)/(2*x*ln(x^2)*ln(x*ln(x^2))*ln(3*ln(x*ln(x^2)))+(-3*x^2-2*x)*ln(x^2)*ln(x*ln(x^2))),x)","F"
7025,1,35,18,0.089000," ","int(1/4*((4*x^4+60*x^3+300*x^2+500*x)*ln(25/x^3)-3*x^4-48*x^3-450*x^2-1496*x-1875)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{4}+20 x^{3}+150 x^{2}+500 x \right) \ln \left(\frac{25}{x^{3}}\right)}{4}+x^{3}+x -\frac{1875 \ln \left(x \right)}{4}$&$35$\\ norman&$x +x^{3}+125 \ln \left(\frac{25}{x^{3}}\right) x +\frac{75 \ln \left(\frac{25}{x^{3}}\right) x^{2}}{2}+5 \ln \left(\frac{25}{x^{3}}\right) x^{3}+\frac{\ln \left(\frac{25}{x^{3}}\right) x^{4}}{4}-\frac{1875 \ln \left(x \right)}{4}$&$52$\\ derivativedivides&$\frac{1875 \ln \left(\frac{1}{x}\right)}{4}+x^{3}+x +75 x^{2} \ln \left(5\right)+10 x^{3} \ln \left(5\right)+\frac{x^{4} \ln \left(5\right)}{2}+250 x \ln \left(5\right)+\frac{75 x^{2} \ln \left(\frac{1}{x^{3}}\right)}{2}+5 x^{3} \ln \left(\frac{1}{x^{3}}\right)+\frac{x^{4} \ln \left(\frac{1}{x^{3}}\right)}{4}+125 x \ln \left(\frac{1}{x^{3}}\right)$&$72$\\ default&$\frac{1875 \ln \left(\frac{1}{x}\right)}{4}+x^{3}+x +75 x^{2} \ln \left(5\right)+10 x^{3} \ln \left(5\right)+\frac{x^{4} \ln \left(5\right)}{2}+250 x \ln \left(5\right)+\frac{75 x^{2} \ln \left(\frac{1}{x^{3}}\right)}{2}+5 x^{3} \ln \left(\frac{1}{x^{3}}\right)+\frac{x^{4} \ln \left(\frac{1}{x^{3}}\right)}{4}+125 x \ln \left(\frac{1}{x^{3}}\right)$&$72$\\ \hline \end{longtable}"," ",0,"1/4*(x^4+20*x^3+150*x^2+500*x)*ln(25/x^3)+x^3+x-1875/4*ln(x)","A"
7026,1,258,64,3.324000," ","int(((((-8*x^3*exp(4)+16*x^4)*ln(3)^2+((64*x^3-16*x)*exp(4)-128*x^4)*ln(3)+(-128*x^3+64*x)*exp(4)+256*x^4-64)*exp(((x^2*exp(4)^2-4*x^3*exp(4)+4*x^4+4*x^2)*ln(3)^2+(-8*x^2*exp(4)^2+(32*x^3+8*x)*exp(4)-32*x^4-48*x^2)*ln(3)+16*x^2*exp(4)^2+(-64*x^3-32*x)*exp(4)+64*x^4+128*x^2+16)/(x^2*ln(3)^2-8*x^2*ln(3)+16*x^2))+2*x^2*ln(3)^2-16*x^2*ln(3)+32*x^2)*ln(x)+((-8*x^3*exp(4)+16*x^4)*ln(3)^2+((64*x^3-16*x)*exp(4)-128*x^4)*ln(3)+(-128*x^3+64*x)*exp(4)+256*x^4-64)*exp(((x^2*exp(4)^2-4*x^3*exp(4)+4*x^4+4*x^2)*ln(3)^2+(-8*x^2*exp(4)^2+(32*x^3+8*x)*exp(4)-32*x^4-48*x^2)*ln(3)+16*x^2*exp(4)^2+(-64*x^3-32*x)*exp(4)+64*x^4+128*x^2+16)/(x^2*ln(3)^2-8*x^2*ln(3)+16*x^2))^2+(2*x^2*ln(3)^2-16*x^2*ln(3)+32*x^2)*exp(((x^2*exp(4)^2-4*x^3*exp(4)+4*x^4+4*x^2)*ln(3)^2+(-8*x^2*exp(4)^2+(32*x^3+8*x)*exp(4)-32*x^4-48*x^2)*ln(3)+16*x^2*exp(4)^2+(-64*x^3-32*x)*exp(4)+64*x^4+128*x^2+16)/(x^2*ln(3)^2-8*x^2*ln(3)+16*x^2)))/(9*x^3*ln(3)^2-72*x^3*ln(3)+144*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{2}}{9}+\frac{2 \,{\mathrm e}^{-\frac{4 \,{\mathrm e}^{4} \ln \left(3\right)^{2} x^{3}-4 x^{4} \ln \left(3\right)^{2}-{\mathrm e}^{8} \ln \left(3\right)^{2} x^{2}-32 \,{\mathrm e}^{4} \ln \left(3\right) x^{3}+32 x^{4} \ln \left(3\right)+8 \,{\mathrm e}^{8} \ln \left(3\right) x^{2}+64 x^{3} {\mathrm e}^{4}-4 x^{2} \ln \left(3\right)^{2}-64 x^{4}-16 x^{2} {\mathrm e}^{8}-8 \,{\mathrm e}^{4} x \ln \left(3\right)+48 x^{2} \ln \left(3\right)+32 x \,{\mathrm e}^{4}-128 x^{2}-16}{x^{2} \left(-4+\ln \left(3\right)\right)^{2}}} \ln \left(x \right)}{9}+\frac{{\mathrm e}^{-\frac{2 \left(4 \,{\mathrm e}^{4} \ln \left(3\right)^{2} x^{3}-4 x^{4} \ln \left(3\right)^{2}-{\mathrm e}^{8} \ln \left(3\right)^{2} x^{2}-32 \,{\mathrm e}^{4} \ln \left(3\right) x^{3}+32 x^{4} \ln \left(3\right)+8 \,{\mathrm e}^{8} \ln \left(3\right) x^{2}+64 x^{3} {\mathrm e}^{4}-4 x^{2} \ln \left(3\right)^{2}-64 x^{4}-16 x^{2} {\mathrm e}^{8}-8 \,{\mathrm e}^{4} x \ln \left(3\right)+48 x^{2} \ln \left(3\right)+32 x \,{\mathrm e}^{4}-128 x^{2}-16\right)}{x^{2} \left(-4+\ln \left(3\right)\right)^{2}}}}{9}$&$258$\\ default&$\frac{\left(2 \ln \left(3\right)-8\right) {\mathrm e}^{\frac{\left(x^{2} {\mathrm e}^{8}-4 x^{3} {\mathrm e}^{4}+4 x^{4}+4 x^{2}\right) \ln \left(3\right)^{2}+\left(-8 x^{2} {\mathrm e}^{8}+\left(32 x^{3}+8 x \right) {\mathrm e}^{4}-32 x^{4}-48 x^{2}\right) \ln \left(3\right)+16 x^{2} {\mathrm e}^{8}+\left(-64 x^{3}-32 x \right) {\mathrm e}^{4}+64 x^{4}+128 x^{2}+16}{x^{2} \ln \left(3\right)^{2}-8 x^{2} \ln \left(3\right)+16 x^{2}}} \ln \left(x \right)}{-36+9 \ln \left(3\right)}+\frac{\ln \left(x \right)^{2}}{9}+\frac{{\mathrm e}^{\frac{2 \left(x^{2} {\mathrm e}^{8}-4 x^{3} {\mathrm e}^{4}+4 x^{4}+4 x^{2}\right) \ln \left(3\right)^{2}+2 \left(-8 x^{2} {\mathrm e}^{8}+\left(32 x^{3}+8 x \right) {\mathrm e}^{4}-32 x^{4}-48 x^{2}\right) \ln \left(3\right)+32 x^{2} {\mathrm e}^{8}+2 \left(-64 x^{3}-32 x \right) {\mathrm e}^{4}+128 x^{4}+256 x^{2}+32}{x^{2} \ln \left(3\right)^{2}+x^{2} \ln \left(\frac{1}{6561}\right)+16 x^{2}}}}{9}$&$276$\\ \hline \end{longtable}"," ",0,"1/9*ln(x)^2+2/9*exp(-(4*exp(4)*ln(3)^2*x^3-4*x^4*ln(3)^2-exp(8)*ln(3)^2*x^2-32*exp(4)*ln(3)*x^3+32*x^4*ln(3)+8*exp(8)*ln(3)*x^2+64*x^3*exp(4)-4*x^2*ln(3)^2-64*x^4-16*x^2*exp(8)-8*exp(4)*x*ln(3)+48*x^2*ln(3)+32*x*exp(4)-128*x^2-16)/x^2/(-4+ln(3))^2)*ln(x)+1/9*exp(-2*(4*exp(4)*ln(3)^2*x^3-4*x^4*ln(3)^2-exp(8)*ln(3)^2*x^2-32*exp(4)*ln(3)*x^3+32*x^4*ln(3)+8*exp(8)*ln(3)*x^2+64*x^3*exp(4)-4*x^2*ln(3)^2-64*x^4-16*x^2*exp(8)-8*exp(4)*x*ln(3)+48*x^2*ln(3)+32*x*exp(4)-128*x^2-16)/x^2/(-4+ln(3))^2)","B"
7027,1,48,30,0.034000," ","int((2*ln(3/4)*ln(x)^2-2*ln(3/4)*ln(x)+(-2*x^4+2*x^2)*ln(3/4)-4*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-\ln \left(3\right)+2 \ln \left(2\right)\right) \ln \left(x \right)^{2}}{x^{2}}+2 x^{2} \ln \left(2\right)-x^{2} \ln \left(3\right)-4 \ln \left(2\right) \ln \left(x \right)+2 \ln \left(3\right) \ln \left(x \right)-4 x$&$48$\\ norman&$\frac{\left(-\ln \left(3\right)+2 \ln \left(2\right)\right) x^{4}+\left(-\ln \left(3\right)+2 \ln \left(2\right)\right) \ln \left(x \right)^{2}+\left(2 \ln \left(3\right)-4 \ln \left(2\right)\right) x^{2} \ln \left(x \right)-4 x^{3}}{x^{2}}$&$53$\\ default&$-x^{2} \ln \left(3\right)+2 x^{2} \ln \left(2\right)+2 \ln \left(3\right) \left(-\frac{\ln \left(x \right)^{2}}{2 x^{2}}-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)-4 \ln \left(2\right) \left(-\frac{\ln \left(x \right)^{2}}{2 x^{2}}-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)+2 \ln \left(3\right) \ln \left(x \right)-4 \ln \left(2\right) \ln \left(x \right)-4 x -2 \ln \left(3\right) \left(-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)+4 \ln \left(2\right) \left(-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)$&$117$\\ \hline \end{longtable}"," ",0,"(-ln(3)+2*ln(2))/x^2*ln(x)^2+2*x^2*ln(2)-x^2*ln(3)-4*ln(2)*ln(x)+2*ln(3)*ln(x)-4*x","A"
7028,1,12,11,0.024000," ","int(1/9*(4*x^3*ln(x^3)-6*x^3)/ln(x^3)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{4}}{9 \ln \left(x^{3}\right)^{2}}$&$12$\\ risch&$\frac{x^{4}}{9 \ln \left(x^{3}\right)^{2}}$&$12$\\ \hline \end{longtable}"," ",0,"1/9/ln(x^3)^2*x^4","A"
7029,1,25,19,0.040000," ","int(((2*x-1)*exp(2*ln(2)-2*x)-5)/ln(15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{5 x}{\ln \left(15\right)}-\frac{x \,{\mathrm e}^{2 \ln \left(2\right)-2 x}}{\ln \left(15\right)}$&$25$\\ risch&$-\frac{4 \,{\mathrm e}^{-2 x} x}{\ln \left(3\right)+\ln \left(5\right)}-\frac{5 x}{\ln \left(3\right)+\ln \left(5\right)}$&$26$\\ default&$\frac{-5 x +\frac{{\mathrm e}^{2 \ln \left(2\right)-2 x} \left(2 \ln \left(2\right)-2 x \right)}{2}-{\mathrm e}^{2 \ln \left(2\right)-2 x} \ln \left(2\right)}{\ln \left(15\right)}$&$42$\\ derivativedivides&$-\frac{-10 \ln \left(2\right)+10 x -{\mathrm e}^{2 \ln \left(2\right)-2 x} \left(2 \ln \left(2\right)-2 x \right)+2 \,{\mathrm e}^{2 \ln \left(2\right)-2 x} \ln \left(2\right)}{2 \ln \left(15\right)}$&$47$\\ \hline \end{longtable}"," ",0,"-5/ln(15)*x-1/ln(15)*x*exp(2*ln(2)-2*x)","A"
7030,1,544,21,0.320000," ","int((((2*x*exp(1)-2*x^2-2*x)*ln(x)+(6*x+2)*exp(1)-6*x^2-8*x)*ln((x-exp(1))*ln(x)-3*exp(1)+3*x)+((2*x^2*exp(1)-2*x^3)*exp(x^2)+2*x^2*exp(1)-2*x^3-2*x^2)*ln(x)+(6*x^2*exp(1)-6*x^3)*exp(x^2)+(6*x^2+2*x)*exp(1)-6*x^3-8*x^2)/((x*exp(1)-x^2)*ln(x)+3*x*exp(1)-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(3+\ln \left(x \right)\right)^{2}+{\mathrm e}^{x^{2}}+x^{2}-2 i \pi  x \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right) \left({\mathrm e}-x \right)\right)^{2}-2 i \pi  \ln \left(3+\ln \left(x \right)\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right) \left({\mathrm e}-x \right)\right)^{2}-2 i \pi  \ln \left(x -{\mathrm e}\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right) \left({\mathrm e}-x \right)\right)^{2}+2 i \pi  \ln \left(x -{\mathrm e}\right)+2 i \pi  \ln \left(3+\ln \left(x \right)\right)+2 i \pi  x +2 x \ln \left(3+\ln \left(x \right)\right)+\ln \left({\mathrm e}-x \right)^{2}+i \pi  x \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right) \left({\mathrm e}-x \right)\right)^{3}+i \pi  \ln \left(3+\ln \left(x \right)\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right) \left({\mathrm e}-x \right)\right)^{3}+i \pi  x \,\mathrm{csgn}\left(i \left({\mathrm e}-x \right)\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right) \left({\mathrm e}-x \right)\right)^{2}+i \pi  \ln \left(3+\ln \left(x \right)\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right) \left({\mathrm e}-x \right)\right)^{2}+i \pi  \ln \left(3+\ln \left(x \right)\right) \mathrm{csgn}\left(i \left({\mathrm e}-x \right)\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right) \left({\mathrm e}-x \right)\right)^{2}+\left(2 x +2 \ln \left(3+\ln \left(x \right)\right)\right) \ln \left({\mathrm e}-x \right)+i \pi  \ln \left(x -{\mathrm e}\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right) \left({\mathrm e}-x \right)\right)^{2}+i \pi  \ln \left(x -{\mathrm e}\right) \mathrm{csgn}\left(i \left({\mathrm e}-x \right)\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right) \left({\mathrm e}-x \right)\right)^{2}+i \pi  x \,\mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right) \left({\mathrm e}-x \right)\right)^{2}+i \pi  \ln \left(x -{\mathrm e}\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right) \left({\mathrm e}-x \right)\right)^{3}-i \pi  x \,\mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}-x \right)\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right) \left({\mathrm e}-x \right)\right)-i \pi  \ln \left(x -{\mathrm e}\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}-x \right)\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right) \left({\mathrm e}-x \right)\right)-i \pi  \ln \left(3+\ln \left(x \right)\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}-x \right)\right) \mathrm{csgn}\left(i \left(3+\ln \left(x \right)\right) \left({\mathrm e}-x \right)\right)$&$544$\\ \hline \end{longtable}"," ",0,"ln(3+ln(x))^2+exp(x^2)+x^2-2*I*Pi*x*csgn(I*(3+ln(x))*(exp(1)-x))^2-2*I*Pi*ln(3+ln(x))*csgn(I*(3+ln(x))*(exp(1)-x))^2-2*I*Pi*ln(x-exp(1))*csgn(I*(3+ln(x))*(exp(1)-x))^2+2*I*Pi*ln(x-exp(1))+2*I*Pi*ln(3+ln(x))+2*I*Pi*x+2*x*ln(3+ln(x))+ln(exp(1)-x)^2+I*Pi*x*csgn(I*(3+ln(x))*(exp(1)-x))^3+I*Pi*ln(3+ln(x))*csgn(I*(3+ln(x))*(exp(1)-x))^3+I*Pi*x*csgn(I*(exp(1)-x))*csgn(I*(3+ln(x))*(exp(1)-x))^2+I*Pi*ln(3+ln(x))*csgn(I*(3+ln(x)))*csgn(I*(3+ln(x))*(exp(1)-x))^2+I*Pi*ln(3+ln(x))*csgn(I*(exp(1)-x))*csgn(I*(3+ln(x))*(exp(1)-x))^2+(2*x+2*ln(3+ln(x)))*ln(exp(1)-x)+I*Pi*ln(x-exp(1))*csgn(I*(3+ln(x)))*csgn(I*(3+ln(x))*(exp(1)-x))^2+I*Pi*ln(x-exp(1))*csgn(I*(exp(1)-x))*csgn(I*(3+ln(x))*(exp(1)-x))^2+I*Pi*x*csgn(I*(3+ln(x)))*csgn(I*(3+ln(x))*(exp(1)-x))^2+I*Pi*ln(x-exp(1))*csgn(I*(3+ln(x))*(exp(1)-x))^3-I*Pi*x*csgn(I*(3+ln(x)))*csgn(I*(exp(1)-x))*csgn(I*(3+ln(x))*(exp(1)-x))-I*Pi*ln(x-exp(1))*csgn(I*(3+ln(x)))*csgn(I*(exp(1)-x))*csgn(I*(3+ln(x))*(exp(1)-x))-I*Pi*ln(3+ln(x))*csgn(I*(3+ln(x)))*csgn(I*(exp(1)-x))*csgn(I*(3+ln(x))*(exp(1)-x))","C"
7031,1,86,30,0.077000," ","int(((-x^4+4*x^3-5*x^2-2*x+2)*exp(5)-x^4+4*x^3-5*x^2-2*x+2)*exp(((x^2-x)*ln(4*x)-x^3+x^2+2)/(x^2-x))*exp(x*exp(((x^2-x)*ln(4*x)-x^3+x^2+2)/(x^2-x)))*exp(exp(x*exp(((x^2-x)*ln(4*x)-x^3+x^2+2)/(x^2-x))))/(4*x^3-8*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{{\mathrm e}^{x \,{\mathrm e}^{\frac{x^{2} \ln \left(4 x \right)-x^{3}-x \ln \left(4 x \right)+x^{2}+2}{x \left(x -1\right)}}}} {\mathrm e}^{5}}{4}+\frac{{\mathrm e}^{{\mathrm e}^{x \,{\mathrm e}^{\frac{x^{2} \ln \left(4 x \right)-x^{3}-x \ln \left(4 x \right)+x^{2}+2}{x \left(x -1\right)}}}}}{4}$&$86$\\ \hline \end{longtable}"," ",0,"1/4*exp(exp(x*exp((x^2*ln(4*x)-x^3-x*ln(4*x)+x^2+2)/x/(x-1))))*exp(5)+1/4*exp(exp(x*exp((x^2*ln(4*x)-x^3-x*ln(4*x)+x^2+2)/x/(x-1))))","B"
7032,1,7,8,0.028000," ","int((2*x+4)*exp(x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\left(4+x \right) x}$&$7$\\ gosper&${\mathrm e}^{x^{2}+4 x}$&$9$\\ derivativedivides&${\mathrm e}^{x^{2}+4 x}$&$9$\\ default&${\mathrm e}^{x^{2}+4 x}$&$9$\\ norman&${\mathrm e}^{x^{2}+4 x}$&$9$\\ \hline \end{longtable}"," ",0,"exp((4+x)*x)","A"
7033,1,38,31,0.062000," ","int(((-x^4+6*x^3-9*x^2)*exp(x)-x^6+13*x^5-56*x^4+93*x^3-47*x^2+2*x+6)/((x^5-6*x^4+9*x^3)*exp(x)-x^6+11*x^5-39*x^4+45*x^3-2*x^2+6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+x -\ln \left({\mathrm e}^{x}-\frac{x^{4}-8 x^{3}+15 x^{2}+2}{x^{2} \left(x -3\right)}\right)$&$38$\\ norman&$x -\ln \left(x^{4}-{\mathrm e}^{x} x^{3}-8 x^{3}+3 \,{\mathrm e}^{x} x^{2}+15 x^{2}+2\right)+\ln \left(x \right)+\ln \left(x -3\right)$&$41$\\ \hline \end{longtable}"," ",0,"-ln(x)+x-ln(exp(x)-(x^4-8*x^3+15*x^2+2)/x^2/(x-3))","A"
7034,1,22,21,0.086000," ","int((ln(x^2)^2+(2*exp(exp(1))+4*exp(3)+6-2*x)*ln(x^2)+exp(exp(1))^2+(4*exp(3)+6-2*x)*exp(exp(1))+4*exp(3)+x^2-6*x+9)/(ln(x^2)^2+(2*exp(exp(1))+6-2*x)*ln(x^2)+exp(exp(1))^2+(6-2*x)*exp(exp(1))+x^2-6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{3} x}{3-x +\ln \left(x^{2}\right)+{\mathrm e}^{{\mathrm e}}}+x$&$22$\\ norman&$\frac{x \ln \left(x^{2}\right)+\left(3+{\mathrm e}^{{\mathrm e}}+4 \,{\mathrm e}^{3}\right) \ln \left(x^{2}\right)-x^{2}+\left({\mathrm e}^{{\mathrm e}}+3\right) \left(3+{\mathrm e}^{{\mathrm e}}+4 \,{\mathrm e}^{3}\right)}{3-x +\ln \left(x^{2}\right)+{\mathrm e}^{{\mathrm e}}}$&$57$\\ \hline \end{longtable}"," ",0,"4*exp(3)*x/(3-x+ln(x^2)+exp(exp(1)))+x","A"
7035,1,35,24,0.280000," ","int((25*x^2*exp(exp(4))^4-10*x^2*exp(exp(4))^3+x^2*exp(exp(4))^2+20*x*ln(6)*exp(exp(4))-4*x*ln(6))/(25*x^2*exp(exp(4))^6-10*x^2*exp(exp(4))^5+x^2*exp(exp(4))^4+20*x*ln(6)*exp(exp(4))^3-4*x*ln(6)*exp(exp(4))^2+4*ln(6)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{2} \left(5 \,{\mathrm e}^{{\mathrm e}^{4}}-1\right)}{5 x \,{\mathrm e}^{3 \,{\mathrm e}^{4}}-x \,{\mathrm e}^{2 \,{\mathrm e}^{4}}+2 \ln \left(6\right)}$&$35$\\ norman&$\frac{x^{2} \left(5 \,{\mathrm e}^{{\mathrm e}^{4}}-1\right)}{5 x \,{\mathrm e}^{3 \,{\mathrm e}^{4}}-x \,{\mathrm e}^{2 \,{\mathrm e}^{4}}+2 \ln \left(6\right)}$&$35$\\ risch&$x \,{\mathrm e}^{-2 \,{\mathrm e}^{4}}+\frac{2 \,{\mathrm e}^{-4 \,{\mathrm e}^{4}} \ln \left(3\right)^{2}}{\left(5 \,{\mathrm e}^{{\mathrm e}^{4}}-1\right) \left(\frac{5 x \,{\mathrm e}^{3 \,{\mathrm e}^{4}}}{2}-\frac{x \,{\mathrm e}^{2 \,{\mathrm e}^{4}}}{2}+\ln \left(3\right)+\ln \left(2\right)\right)}+\frac{4 \,{\mathrm e}^{-4 \,{\mathrm e}^{4}} \ln \left(2\right) \ln \left(3\right)}{\left(5 \,{\mathrm e}^{{\mathrm e}^{4}}-1\right) \left(\frac{5 x \,{\mathrm e}^{3 \,{\mathrm e}^{4}}}{2}-\frac{x \,{\mathrm e}^{2 \,{\mathrm e}^{4}}}{2}+\ln \left(3\right)+\ln \left(2\right)\right)}+\frac{2 \,{\mathrm e}^{-4 \,{\mathrm e}^{4}} \ln \left(2\right)^{2}}{\left(5 \,{\mathrm e}^{{\mathrm e}^{4}}-1\right) \left(\frac{5 x \,{\mathrm e}^{3 \,{\mathrm e}^{4}}}{2}-\frac{x \,{\mathrm e}^{2 \,{\mathrm e}^{4}}}{2}+\ln \left(3\right)+\ln \left(2\right)\right)}$&$138$\\ meijerg&$\frac{2 \left(25 \,{\mathrm e}^{4 \,{\mathrm e}^{4}}-10 \,{\mathrm e}^{3 \,{\mathrm e}^{4}}+{\mathrm e}^{2 \,{\mathrm e}^{4}}\right) {\mathrm e}^{-2 \,{\mathrm e}^{4}} \ln \left(6\right) \left(\frac{x \,{\mathrm e}^{2 \,{\mathrm e}^{4}} \left(5 \,{\mathrm e}^{{\mathrm e}^{4}}-1\right) \left(\frac{3 x \,{\mathrm e}^{2 \,{\mathrm e}^{4}} \left(5 \,{\mathrm e}^{{\mathrm e}^{4}}-1\right)}{2 \ln \left(6\right)}+6\right)}{6 \ln \left(6\right) \left(1+\frac{x \,{\mathrm e}^{2 \,{\mathrm e}^{4}} \left(5 \,{\mathrm e}^{{\mathrm e}^{4}}-1\right)}{2 \ln \left(6\right)}\right)}-2 \ln \left(1+\frac{x \,{\mathrm e}^{2 \,{\mathrm e}^{4}} \left(5 \,{\mathrm e}^{{\mathrm e}^{4}}-1\right)}{2 \ln \left(6\right)}\right)\right)}{\left(25 \,{\mathrm e}^{6 \,{\mathrm e}^{4}}-10 \,{\mathrm e}^{5 \,{\mathrm e}^{4}}+{\mathrm e}^{4 \,{\mathrm e}^{4}}\right) \left(5 \,{\mathrm e}^{{\mathrm e}^{4}}-1\right)}+\frac{\left(20 \ln \left(6\right) {\mathrm e}^{{\mathrm e}^{4}}-4 \ln \left(6\right)\right) \left(-\frac{x \,{\mathrm e}^{2 \,{\mathrm e}^{4}} \left(5 \,{\mathrm e}^{{\mathrm e}^{4}}-1\right)}{2 \ln \left(6\right) \left(1+\frac{x \,{\mathrm e}^{2 \,{\mathrm e}^{4}} \left(5 \,{\mathrm e}^{{\mathrm e}^{4}}-1\right)}{2 \ln \left(6\right)}\right)}+\ln \left(1+\frac{x \,{\mathrm e}^{2 \,{\mathrm e}^{4}} \left(5 \,{\mathrm e}^{{\mathrm e}^{4}}-1\right)}{2 \ln \left(6\right)}\right)\right)}{25 \,{\mathrm e}^{6 \,{\mathrm e}^{4}}-10 \,{\mathrm e}^{5 \,{\mathrm e}^{4}}+{\mathrm e}^{4 \,{\mathrm e}^{4}}}$&$250$\\ \hline \end{longtable}"," ",0,"x^2*(5*exp(exp(4))-1)/(5*x*exp(exp(4))^3-x*exp(exp(4))^2+2*ln(6))","A"
7036,1,22,17,0.124000," ","int((10*exp(16)+10*x^2-12)/(5*x*exp(16)-5*x^3-6*x)/ln(1/5*(-5*exp(16)+5*x^2+6)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2}{\ln \left(\frac{-5 \,{\mathrm e}^{16}+5 x^{2}+6}{5 x}\right)}$&$22$\\ risch&$\frac{2}{\ln \left(\frac{-5 \,{\mathrm e}^{16}+5 x^{2}+6}{5 x}\right)}$&$22$\\ \hline \end{longtable}"," ",0,"2/ln(1/5*(-5*exp(16)+5*x^2+6)/x)","A"
7037,1,36,28,0.085000," ","int(((x-4)*exp((2-x)/x)^2+(-8*x+16)*exp((2-x)/x)+3*x^3+10*x^2+29*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x \,{\mathrm e}^{\frac{4}{x}-2}+x^{3}+5 x^{2}+29 x -8 x \,{\mathrm e}^{\frac{2}{x}-1}$&$36$\\ default&$x \,{\mathrm e}^{\frac{4}{x}-2}+x^{3}+5 x^{2}+29 x -8 x \,{\mathrm e}^{\frac{2}{x}-1}$&$36$\\ risch&$x^{3}+x \,{\mathrm e}^{-\frac{2 \left(x -2\right)}{x}}+29 x +5 x^{2}-8 \,{\mathrm e}^{-\frac{x -2}{x}} x$&$36$\\ norman&$x^{3}+x \,{\mathrm e}^{\frac{4-2 x}{x}}+29 x +5 x^{2}-8 x \,{\mathrm e}^{\frac{2-x}{x}}$&$40$\\ \hline \end{longtable}"," ",0,"x*exp(2/x-1)^2+x^3+5*x^2+29*x-8*x*exp(2/x-1)","A"
7038,1,24,24,0.144000," ","int(((-ln(3)+7*x)*ln(ln(3)-7*x)+(-2*x^3-12*x^2+1)*ln(3)+14*x^4+84*x^3-14*x)/(x^2*ln(3)-7*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-1-12 x^{2}-x^{3}+\ln \left(\ln \left(3\right)-7 x \right)}{x}$&$24$\\ risch&$\frac{\ln \left(\ln \left(3\right)-7 x \right)}{x}-\frac{x^{3}+12 x^{2}+1}{x}$&$28$\\ derivativedivides&$\frac{7 \ln \left(7 x \right)}{\ln \left(3\right)}+\frac{\ln \left(\ln \left(3\right)-7 x \right) \left(\ln \left(3\right)-7 x \right)}{\ln \left(3\right) x}-\frac{\left(\ln \left(3\right)-7 x \right)^{2}}{49}+\frac{2 \ln \left(3\right) \left(\ln \left(3\right)-7 x \right)}{49}+\frac{12 \ln \left(3\right)}{7}-12 x -\frac{1}{x}-\frac{7 \ln \left(-7 x \right)}{\ln \left(3\right)}+\frac{7 \ln \left(\ln \left(3\right)-7 x \right)}{\ln \left(3\right)}$&$88$\\ default&$\frac{7 \ln \left(7 x \right)}{\ln \left(3\right)}+\frac{\ln \left(\ln \left(3\right)-7 x \right) \left(\ln \left(3\right)-7 x \right)}{\ln \left(3\right) x}-\frac{\left(\ln \left(3\right)-7 x \right)^{2}}{49}+\frac{2 \ln \left(3\right) \left(\ln \left(3\right)-7 x \right)}{49}+\frac{12 \ln \left(3\right)}{7}-12 x -\frac{1}{x}-\frac{7 \ln \left(-7 x \right)}{\ln \left(3\right)}+\frac{7 \ln \left(\ln \left(3\right)-7 x \right)}{\ln \left(3\right)}$&$88$\\ \hline \end{longtable}"," ",0,"(-1-12*x^2-x^3+ln(ln(3)-7*x))/x","A"
7039,1,18,20,0.131000," ","int(((x*ln(x)-2)*exp(-ln(ln(x)^2)+x)-2*ln(x)^2)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-\ln \left(\ln \left(x \right)^{2}\right)+x}-\ln \left(x \right)^{2}$&$18$\\ risch&$-\ln \left(x \right)^{2}-\frac{{\mathrm e}^{x} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}}{2}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2}}{2}}}{\ln \left(x \right)^{2}}$&$52$\\ \hline \end{longtable}"," ",0,"exp(-ln(ln(x)^2)+x)-ln(x)^2","A"
7040,1,43,32,0.184000," ","int(((8*x^8-40*x^7-40*x^6+60*x^5+368*x^4-732*x^3+1512*x^2+1200*x)*ln(x)-4*x^8+16*x^7+24*x^6-52*x^5-48*x^4-588*x^3+364*x^2+720*x+720)/(x^11-2*x^10-9*x^9+4*x^8-9*x^7+190*x^6+89*x^5-480*x^4+40*x^3-2400*x^2+3600*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \left(x^{3}-3 x^{2}-4 x -3\right) \ln \left(x \right)}{x^{5}-x^{4}-5 x^{3}-3 x^{2}-20 x +60}$&$43$\\ norman&$\frac{12 \ln \left(x \right)-4 x^{3} \ln \left(x \right)+12 x^{2} \ln \left(x \right)+16 x \ln \left(x \right)}{x^{5}-x^{4}-5 x^{3}-3 x^{2}-20 x +60}$&$51$\\ default&$\frac{\ln \left(x \right)}{5}+\frac{103 i \left(-1+8 \sqrt{5}\right) \arctan \left(\frac{2 x +1}{\sqrt{-1+8 \sqrt{5}}}\right)}{1240 \left(\frac{i \sqrt{-1+8 \sqrt{5}}}{4}+\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}+\frac{7 i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}} \ln \left(2 \sqrt{5}+x^{2}+x \right)}{620 \left(\frac{i \sqrt{-1+8 \sqrt{5}}}{4}+\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}-\frac{103 i \left(-1+8 \sqrt{5}\right) \arctan \left(\frac{2 x +1}{\sqrt{-1+8 \sqrt{5}}}\right)}{1240 \left(-\frac{i \sqrt{-1+8 \sqrt{5}}}{4}-\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}+\frac{453 i \sqrt{-1+8 \sqrt{5}}\, \ln \left(2 \sqrt{5}+x^{2}+x \right)}{620 \left(-\frac{i \sqrt{-1+8 \sqrt{5}}}{4}-\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}-\frac{7 i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}} \ln \left(2 \sqrt{5}+x^{2}+x \right)}{620 \left(-\frac{i \sqrt{-1+8 \sqrt{5}}}{4}-\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}-\frac{453 i \sqrt{-1+8 \sqrt{5}}\, \ln \left(2 \sqrt{5}+x^{2}+x \right)}{620 \left(\frac{i \sqrt{-1+8 \sqrt{5}}}{4}+\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}-\frac{\ln \left(x \right) x \left(56 x^{3}+187 x^{2}+1051 x +1200\right)}{155 \left(x^{4}+2 x^{3}+x^{2}-20\right)}+\frac{2857 \ln \left(2 \sqrt{5}+x^{2}+x \right)}{2480 \left(\frac{i \sqrt{-1+8 \sqrt{5}}}{4}+\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}+\frac{2857 \ln \left(2 \sqrt{5}+x^{2}+x \right)}{2480 \left(-\frac{i \sqrt{-1+8 \sqrt{5}}}{4}-\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}+\frac{2857 \ln \left(x +\frac{1}{2}+\frac{\sqrt{1+8 \sqrt{5}}}{2}\right)}{1240 \left(\frac{\sqrt{1+8 \sqrt{5}}}{4}-\frac{\left(1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}+\frac{2857 \ln \left(x +\frac{1}{2}-\frac{\sqrt{1+8 \sqrt{5}}}{2}\right)}{1240 \left(-\frac{\sqrt{1+8 \sqrt{5}}}{4}+\frac{\left(1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}+\frac{5 \ln \left(x \right) x}{31 \left(x -3\right)}-\frac{453 \ln \left(x +\frac{1}{2}+\frac{\sqrt{1+8 \sqrt{5}}}{2}\right) \sqrt{1+8 \sqrt{5}}}{310 \left(\frac{\sqrt{1+8 \sqrt{5}}}{4}-\frac{\left(1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}+\frac{103 \ln \left(x +\frac{1}{2}+\frac{\sqrt{1+8 \sqrt{5}}}{2}\right) \left(1+8 \sqrt{5}\right)}{1240 \left(\frac{\sqrt{1+8 \sqrt{5}}}{4}-\frac{\left(1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}-\frac{7 \ln \left(x +\frac{1}{2}+\frac{\sqrt{1+8 \sqrt{5}}}{2}\right) \left(1+8 \sqrt{5}\right)^{\frac{3}{2}}}{310 \left(\frac{\sqrt{1+8 \sqrt{5}}}{4}-\frac{\left(1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}+\frac{453 \ln \left(x +\frac{1}{2}-\frac{\sqrt{1+8 \sqrt{5}}}{2}\right) \sqrt{1+8 \sqrt{5}}}{310 \left(-\frac{\sqrt{1+8 \sqrt{5}}}{4}+\frac{\left(1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}+\frac{103 \ln \left(x +\frac{1}{2}-\frac{\sqrt{1+8 \sqrt{5}}}{2}\right) \left(1+8 \sqrt{5}\right)}{1240 \left(-\frac{\sqrt{1+8 \sqrt{5}}}{4}+\frac{\left(1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}+\frac{7 \ln \left(x +\frac{1}{2}-\frac{\sqrt{1+8 \sqrt{5}}}{2}\right) \left(1+8 \sqrt{5}\right)^{\frac{3}{2}}}{310 \left(-\frac{\sqrt{1+8 \sqrt{5}}}{4}+\frac{\left(1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}-\frac{\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+2 \textit{\_Z}^{3}+\textit{\_Z}^{2}-20\right)}{\sum}\frac{\left(56 \textit{\_R}^{3}+187 \textit{\_R}^{2}+1051 \textit{\_R} +1200\right) \ln \left(x -\textit{\_R} \right)}{2 \textit{\_R}^{3}+3 \textit{\_R}^{2}+\textit{\_R}}\right)}{310}+\frac{7 \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}} \arctan \left(\frac{2 x +1}{\sqrt{-1+8 \sqrt{5}}}\right)}{310 \left(-\frac{i \sqrt{-1+8 \sqrt{5}}}{4}-\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}+\frac{7 \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}} \arctan \left(\frac{2 x +1}{\sqrt{-1+8 \sqrt{5}}}\right)}{310 \left(\frac{i \sqrt{-1+8 \sqrt{5}}}{4}+\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}-\frac{453 \sqrt{-1+8 \sqrt{5}}\, \arctan \left(\frac{2 x +1}{\sqrt{-1+8 \sqrt{5}}}\right)}{310 \left(\frac{i \sqrt{-1+8 \sqrt{5}}}{4}+\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}-\frac{2857 i \arctan \left(\frac{2 x +1}{\sqrt{-1+8 \sqrt{5}}}\right)}{1240 \left(\frac{i \sqrt{-1+8 \sqrt{5}}}{4}+\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}-\frac{453 \sqrt{-1+8 \sqrt{5}}\, \arctan \left(\frac{2 x +1}{\sqrt{-1+8 \sqrt{5}}}\right)}{310 \left(-\frac{i \sqrt{-1+8 \sqrt{5}}}{4}-\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}+\frac{2857 i \arctan \left(\frac{2 x +1}{\sqrt{-1+8 \sqrt{5}}}\right)}{1240 \left(-\frac{i \sqrt{-1+8 \sqrt{5}}}{4}-\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}-\frac{103 \left(-1+8 \sqrt{5}\right) \ln \left(2 \sqrt{5}+x^{2}+x \right)}{2480 \left(\frac{i \sqrt{-1+8 \sqrt{5}}}{4}+\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}-\frac{103 \left(-1+8 \sqrt{5}\right) \ln \left(2 \sqrt{5}+x^{2}+x \right)}{2480 \left(-\frac{i \sqrt{-1+8 \sqrt{5}}}{4}-\frac{i \left(-1+8 \sqrt{5}\right)^{\frac{3}{2}}}{4}\right)}$&$1272$\\ \hline \end{longtable}"," ",0,"-4*(x^3-3*x^2-4*x-3)/(x^5-x^4-5*x^3-3*x^2-20*x+60)*ln(x)","A"
7041,1,13,15,0.020000," ","int((-3*x*ln(x^3)+9*x+3)/x/ln(x^3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-3 x -1}{\ln \left(x^{3}\right)}$&$13$\\ risch&$-\frac{3 x +1}{\ln \left(x^{3}\right)}$&$14$\\ \hline \end{longtable}"," ",0,"(-3*x-1)/ln(x^3)","A"
7042,1,41,20,0.024000," ","int(2/9*x*exp(8)^2+1/5625*(-3300*x^2-72500*x-7500)*exp(8)+1936/5625*x^3+1276/75*x^2+42578/225*x+116/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-\frac{44 \,{\mathrm e}^{8}}{225}+\frac{1276}{225}\right) x^{3}+\left(-\frac{4 \,{\mathrm e}^{8}}{3}+\frac{116}{3}\right) x +\left(\frac{{\mathrm e}^{16}}{9}-\frac{58 \,{\mathrm e}^{8}}{9}+\frac{21289}{225}\right) x^{2}+\frac{484 x^{4}}{5625}$&$41$\\ gosper&$\frac{x \left(625 x \,{\mathrm e}^{16}-1100 x^{2} {\mathrm e}^{8}+484 x^{3}-36250 x \,{\mathrm e}^{8}+31900 x^{2}-7500 \,{\mathrm e}^{8}+532225 x +217500\right)}{5625}$&$42$\\ risch&$\frac{x^{2} {\mathrm e}^{16}}{9}-\frac{44 x^{3} {\mathrm e}^{8}}{225}-\frac{58 x^{2} {\mathrm e}^{8}}{9}-\frac{4 x \,{\mathrm e}^{8}}{3}+\frac{484 x^{4}}{5625}+\frac{1276 x^{3}}{225}+\frac{21289 x^{2}}{225}+\frac{116 x}{3}$&$46$\\ default&$\frac{x^{2} {\mathrm e}^{16}}{9}+\frac{{\mathrm e}^{8} \left(-1100 x^{3}-36250 x^{2}-7500 x \right)}{5625}+\frac{484 x^{4}}{5625}+\frac{1276 x^{3}}{225}+\frac{21289 x^{2}}{225}+\frac{116 x}{3}$&$47$\\ \hline \end{longtable}"," ",0,"(-44/225*exp(8)+1276/225)*x^3+(-4/3*exp(8)+116/3)*x+(1/9*exp(8)^2-58/9*exp(8)+21289/225)*x^2+484/5625*x^4","A"
7043,1,45,27,0.149000," ","int((((x-4)*exp(x/exp(1))*ln(-x+4)+2*(-5*x^2+20*x)*ln(2)*exp(x/exp(1))+2*(-20*x+80)*exp(1)*ln(2)+4*exp(1))*exp(1/4*exp(x/exp(1)))+(4*x-16)*exp(1)*ln(-x+4)+2*(-40*x^2+160*x)*exp(1)*ln(2)+4*x*exp(1))/(4*x-16)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-10 x^{2} \ln \left(2\right)+\ln \left(-x +4\right) x +\left(-10 x \,{\mathrm e} \ln \left(2\right)+{\mathrm e} \ln \left(-x +4\right)\right) {\mathrm e}^{-1+\frac{{\mathrm e}^{{\mathrm e}^{-1} x}}{4}}$&$45$\\ \hline \end{longtable}"," ",0,"-10*x^2*ln(2)+ln(-x+4)*x+(-10*x*exp(1)*ln(2)+exp(1)*ln(-x+4))*exp(-1+1/4*exp(exp(-1)*x))","A"
7044,1,25,26,0.099000," ","int(((4*x^3+8*x^2-4*x-8)*ln((x+1)/x)^2+x)/(x^3+x^2)/ln((x+1)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{1}{\ln \left(\frac{1}{x}+1\right)}+\frac{8}{x}+8-4 \ln \left(\frac{1}{x}\right)+4 x$&$25$\\ default&$\frac{1}{\ln \left(\frac{1}{x}+1\right)}+\frac{8}{x}+8-4 \ln \left(\frac{1}{x}\right)+4 x$&$25$\\ risch&$\frac{4 x \ln \left(x \right)+4 x^{2}+8}{x}+\frac{1}{\ln \left(\frac{x +1}{x}\right)}$&$26$\\ norman&$\frac{x -4 \ln \left(\frac{x +1}{x}\right)^{2} x +4 \ln \left(\frac{x +1}{x}\right) x^{2}+8 \ln \left(\frac{x +1}{x}\right)}{\ln \left(\frac{x +1}{x}\right) x}+4 \ln \left(x +1\right)$&$60$\\ \hline \end{longtable}"," ",0,"1/ln(1/x+1)+8/x+8-4*ln(1/x)+4*x","A"
7045,1,90,25,0.171000," ","int(((40*x*ln(3)-80*x^2+8*x)*ln(25*ln(3)^2+(-100*x+10)*ln(3)+100*x^2-20*x+1)^2+((-60*x^2-80*x-20)*ln(3)+120*x^3-12*x^2+24*x-4)*ln(25*ln(3)^2+(-100*x+10)*ln(3)+100*x^2-20*x+1)+(20*x^3+60*x^2+60*x+20)*ln(3)-40*x^4-36*x^3+52*x^2+52*x+4)/(5*ln(3)-10*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2} \ln \left(25 \ln \left(3\right)^{2}+\left(-100 x +10\right) \ln \left(3\right)+100 x^{2}-20 x +1\right)^{2}+\left(-4 x^{3}-8 x^{2}-4 x \right) \ln \left(25 \ln \left(3\right)^{2}+\left(-100 x +10\right) \ln \left(3\right)+100 x^{2}-20 x +1\right)+x^{4}+4 x^{3}+6 x^{2}+4 x$&$90$\\ norman&$x^{4}+4 x +6 x^{2}+4 x^{3}-4 x \ln \left(25 \ln \left(3\right)^{2}+\left(-100 x +10\right) \ln \left(3\right)+100 x^{2}-20 x +1\right)-8 x^{2} \ln \left(25 \ln \left(3\right)^{2}+\left(-100 x +10\right) \ln \left(3\right)+100 x^{2}-20 x +1\right)+4 x^{2} \ln \left(25 \ln \left(3\right)^{2}+\left(-100 x +10\right) \ln \left(3\right)+100 x^{2}-20 x +1\right)^{2}-4 x^{3} \ln \left(25 \ln \left(3\right)^{2}+\left(-100 x +10\right) \ln \left(3\right)+100 x^{2}-20 x +1\right)$&$138$\\ default&$4 x +x^{4}+4 x^{3}+6 x^{2}+4 \ln \left(3\right)^{2} \ln \left(10 x -5 \ln \left(3\right)-1\right) \ln \left(25 \ln \left(3\right)^{2}-100 x \ln \left(3\right)+100 x^{2}+10 \ln \left(3\right)-20 x +1\right)+\frac{8 \ln \left(3\right) \ln \left(10 x -5 \ln \left(3\right)-1\right) \ln \left(25 \ln \left(3\right)^{2}-100 x \ln \left(3\right)+100 x^{2}+10 \ln \left(3\right)-20 x +1\right)}{5}-\ln \left(3\right)^{2} \ln \left(25 \ln \left(3\right)^{2}-100 x \ln \left(3\right)+100 x^{2}+10 \ln \left(3\right)-20 x +1\right)^{2}+4 \ln \left(25 \ln \left(3\right)^{2}-100 x \ln \left(3\right)+100 x^{2}+10 \ln \left(3\right)-20 x +1\right)^{2} x^{2}-4 \ln \left(25 \ln \left(3\right)^{2}-100 x \ln \left(3\right)+100 x^{2}+10 \ln \left(3\right)-20 x +1\right) x^{3}+6 \ln \left(3\right)^{2} \ln \left(25 \ln \left(3\right)^{2}-100 x \ln \left(3\right)+100 x^{2}+10 \ln \left(3\right)-20 x +1\right)-\frac{2 \ln \left(3\right) \ln \left(25 \ln \left(3\right)^{2}-100 x \ln \left(3\right)+100 x^{2}+10 \ln \left(3\right)-20 x +1\right)^{2}}{5}-8 \ln \left(25 \ln \left(3\right)^{2}-100 x \ln \left(3\right)+100 x^{2}+10 \ln \left(3\right)-20 x +1\right) x^{2}+\frac{12 \ln \left(3\right) \ln \left(25 \ln \left(3\right)^{2}-100 x \ln \left(3\right)+100 x^{2}+10 \ln \left(3\right)-20 x +1\right)}{5}-\frac{12 x \ln \left(25 \ln \left(3\right)^{2}-100 x \ln \left(3\right)+100 x^{2}+10 \ln \left(3\right)-20 x +1\right)}{5}-\frac{4 \ln \left(10 x -5 \ln \left(3\right)-1\right)^{2}}{25}+8 \ln \left(3\right) \ln \left(25 \ln \left(3\right)^{2}-100 x \ln \left(3\right)+100 x^{2}+10 \ln \left(3\right)-20 x +1\right) x -12 \ln \left(10 x -5 \ln \left(3\right)-1\right) \ln \left(3\right)^{2}-\frac{24 \ln \left(10 x -5 \ln \left(3\right)-1\right) \ln \left(3\right)}{5}+\left(-8 \ln \left(3\right)-\frac{8}{5}\right) x \ln \left(25 \ln \left(3\right)^{2}-100 x \ln \left(3\right)+100 x^{2}+10 \ln \left(3\right)-20 x +1\right)-\frac{12 \ln \left(10 x -5 \ln \left(3\right)-1\right)}{25}-\frac{\ln \left(25 \ln \left(3\right)^{2}-100 x \ln \left(3\right)+100 x^{2}+10 \ln \left(3\right)-20 x +1\right)^{2}}{25}+\frac{6 \ln \left(25 \ln \left(3\right)^{2}-100 x \ln \left(3\right)+100 x^{2}+10 \ln \left(3\right)-20 x +1\right)}{25}-4 \ln \left(3\right)^{2} \ln \left(10 x -5 \ln \left(3\right)-1\right)^{2}-\frac{8 \ln \left(3\right) \ln \left(10 x -5 \ln \left(3\right)-1\right)^{2}}{5}+\frac{4 \ln \left(10 x -5 \ln \left(3\right)-1\right) \ln \left(25 \ln \left(3\right)^{2}-100 x \ln \left(3\right)+100 x^{2}+10 \ln \left(3\right)-20 x +1\right)}{25}$&$603$\\ \hline \end{longtable}"," ",0,"4*x^2*ln(25*ln(3)^2+(-100*x+10)*ln(3)+100*x^2-20*x+1)^2+(-4*x^3-8*x^2-4*x)*ln(25*ln(3)^2+(-100*x+10)*ln(3)+100*x^2-20*x+1)+x^4+4*x^3+6*x^2+4*x","B"
7046,1,24,13,0.059000," ","int(1/25*((6*x+3)*exp(5)+6*x+3)*exp(1/50*(6*x^2+6*x)*exp(5)+3/25*x^2+3/25*x+1/2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{3 x^{2} {\mathrm e}^{5}}{25}+\frac{3 x \,{\mathrm e}^{5}}{25}+\frac{3 x^{2}}{25}+\frac{3 x}{25}+\frac{1}{2}}$&$24$\\ risch&${\mathrm e}^{\frac{3 x^{2} {\mathrm e}^{5}}{25}+\frac{3 x \,{\mathrm e}^{5}}{25}+\frac{3 x^{2}}{25}+\frac{3 x}{25}+\frac{1}{2}}$&$24$\\ norman&${\mathrm e}^{\frac{\left(6 x^{2}+6 x \right) {\mathrm e}^{5}}{50}+\frac{3 x^{2}}{25}+\frac{3 x}{25}+\frac{1}{2}}$&$25$\\ default&$\frac{3 \,{\mathrm e}^{\frac{1}{2}+\left(\frac{3 \,{\mathrm e}^{5}}{25}+\frac{3}{25}\right) x^{2}+\left(\frac{3 \,{\mathrm e}^{5}}{25}+\frac{3}{25}\right) x}}{25 \left(\frac{3 \,{\mathrm e}^{5}}{25}+\frac{3}{25}\right)}+\frac{3 \,{\mathrm e}^{\frac{11}{2}+\left(\frac{3 \,{\mathrm e}^{5}}{25}+\frac{3}{25}\right) x^{2}+\left(\frac{3 \,{\mathrm e}^{5}}{25}+\frac{3}{25}\right) x}}{25 \left(\frac{3 \,{\mathrm e}^{5}}{25}+\frac{3}{25}\right)}$&$64$\\ \hline \end{longtable}"," ",0,"exp(3/25*x^2*exp(5)+3/25*x*exp(5)+3/25*x^2+3/25*x+1/2)","A"
7047,1,25,23,0.086000," ","int(1/2*((-3*x^4-x^2)*exp(4)+2*x^3*exp(1)-x^2+1)*exp(1/2*((-x^4-x^2)*exp(4)+(x^3+x)*exp(1)-x^2-1)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(x^{2}+1\right) \left(-x^{2} {\mathrm e}^{4}+x \,{\mathrm e}-1\right)}{2 x}}$&$25$\\ norman&${\mathrm e}^{\frac{\left(-x^{4}-x^{2}\right) {\mathrm e}^{4}+\left(x^{3}+x \right) {\mathrm e}-x^{2}-1}{2 x}}$&$36$\\ gosper&${\mathrm e}^{\frac{-x^{4} {\mathrm e}^{4}+x^{3} {\mathrm e}-x^{2} {\mathrm e}^{4}+x \,{\mathrm e}-x^{2}-1}{2 x}}$&$38$\\ \hline \end{longtable}"," ",0,"exp(1/2*(x^2+1)*(-x^2*exp(4)+x*exp(1)-1)/x)","A"
7048,1,25,23,0.072000," ","int(((54*x^4-108*x^3)*exp(x)+54*x^4-270*x^2)/(9*exp(x)^2*x^2+(-36*x^4-18*x^3+30*x)*exp(x)+36*x^6+36*x^5+9*x^4-60*x^3-30*x^2+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{18 x^{3}}{6 x^{3}+3 x^{2}-3 \,{\mathrm e}^{x} x -5}$&$25$\\ norman&$\frac{-9 x^{2}+9 \,{\mathrm e}^{x} x +15}{6 x^{3}+3 x^{2}-3 \,{\mathrm e}^{x} x -5}$&$33$\\ \hline \end{longtable}"," ",0,"18*x^3/(6*x^3+3*x^2-3*exp(x)*x-5)","A"
7049,1,16,16,0.023000," ","int((-2*ln(x)+x*ln(3)-18)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(3\right)-\ln \left(x \right)^{2}-18 \ln \left(x \right)$&$16$\\ norman&$x \ln \left(3\right)-\ln \left(x \right)^{2}-18 \ln \left(x \right)$&$16$\\ risch&$x \ln \left(3\right)-\ln \left(x \right)^{2}-18 \ln \left(x \right)$&$16$\\ \hline \end{longtable}"," ",0,"x*ln(3)-ln(x)^2-18*ln(x)","A"
7050,1,22,12,0.024000," ","int(((2*x+2)*ln(-1/5*x/exp(5))+2*x^2+2*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\ln \left(-\frac{x \,{\mathrm e}^{-5}}{5}\right)^{2}+2 \ln \left(-\frac{x \,{\mathrm e}^{-5}}{5}\right) x$&$22$\\ norman&$x^{2}+\ln \left(-\frac{x \,{\mathrm e}^{-5}}{5}\right)^{2}+2 \ln \left(-\frac{x \,{\mathrm e}^{-5}}{5}\right) x$&$26$\\ derivativedivides&$x^{2}-10 \,{\mathrm e}^{5} \left(-\frac{x \,{\mathrm e}^{-5} \ln \left(-\frac{x \,{\mathrm e}^{-5}}{5}\right)}{5}+\frac{x \,{\mathrm e}^{-5}}{5}\right)+2 x +\ln \left(-\frac{x \,{\mathrm e}^{-5}}{5}\right)^{2}$&$45$\\ default&$x^{2}-10 \,{\mathrm e}^{5} \left(-\frac{x \,{\mathrm e}^{-5} \ln \left(-\frac{x \,{\mathrm e}^{-5}}{5}\right)}{5}+\frac{x \,{\mathrm e}^{-5}}{5}\right)+2 x +\ln \left(-\frac{x \,{\mathrm e}^{-5}}{5}\right)^{2}$&$45$\\ \hline \end{longtable}"," ",0,"x^2+ln(-1/5*x*exp(-5))^2+2*ln(-1/5*x*exp(-5))*x","A"
7051,1,26,22,0.092000," ","int((-640*ln(x)^2+(440*x-960)*ln(x)-40*x^2+120*x)/(16*x*ln(5)^2*ln(x)^4-8*x^2*ln(5)^2*ln(x)^3+x^3*ln(5)^2*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{40 x -160 \ln \left(x \right)-120}{\ln \left(5\right)^{2} \ln \left(x \right) \left(x -4 \ln \left(x \right)\right)}$&$26$\\ norman&$\frac{-\frac{120}{\ln \left(5\right)}+\frac{40 x}{\ln \left(5\right)}-\frac{160 \ln \left(x \right)}{\ln \left(5\right)}}{\ln \left(5\right) \ln \left(x \right) \left(x -4 \ln \left(x \right)\right)}$&$40$\\ \hline \end{longtable}"," ",0,"40*(x-4*ln(x)-3)/ln(5)^2/ln(x)/(x-4*ln(x))","A"
7052,1,102,27,37.443000," ","int(((-16*x^2-24*x+16)*exp(5)^3+(48*x^4+24*x^3-120*x^2+48*x)*exp(5)^2+(-48*x^6+24*x^5+144*x^4-168*x^3+48*x^2)*exp(5)+16*x^8-24*x^7-40*x^6+104*x^5-72*x^4+16*x^3+2)*exp(exp(5)^4+(-4*x^2+4*x)*exp(5)^3+(6*x^4-12*x^3+6*x^2)*exp(5)^2+(-4*x^6+12*x^5-12*x^4+4*x^3)*exp(5)+x^8-4*x^7+6*x^6-4*x^5+x^4)+2*ln(2)+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(2 x +4\right) {\mathrm e}^{x^{8}-4 x^{6} {\mathrm e}^{5}-4 x^{7}+12 x^{5} {\mathrm e}^{5}+6 x^{6}+6 x^{4} {\mathrm e}^{10}-12 x^{4} {\mathrm e}^{5}-4 x^{5}-12 x^{3} {\mathrm e}^{10}+4 x^{3} {\mathrm e}^{5}+x^{4}-4 x^{2} {\mathrm e}^{15}+6 x^{2} {\mathrm e}^{10}+4 x \,{\mathrm e}^{15}+{\mathrm e}^{20}}+2 x \ln \left(2\right)+x^{2}$&$102$\\ default&$2 x \,{\mathrm e}^{{\mathrm e}^{20}+\left(-4 x^{2}+4 x \right) {\mathrm e}^{15}+\left(6 x^{4}-12 x^{3}+6 x^{2}\right) {\mathrm e}^{10}+\left(-4 x^{6}+12 x^{5}-12 x^{4}+4 x^{3}\right) {\mathrm e}^{5}+x^{8}-4 x^{7}+6 x^{6}-4 x^{5}+x^{4}}+4 \,{\mathrm e}^{{\mathrm e}^{20}+\left(-4 x^{2}+4 x \right) {\mathrm e}^{15}+\left(6 x^{4}-12 x^{3}+6 x^{2}\right) {\mathrm e}^{10}+\left(-4 x^{6}+12 x^{5}-12 x^{4}+4 x^{3}\right) {\mathrm e}^{5}+x^{8}-4 x^{7}+6 x^{6}-4 x^{5}+x^{4}}+x^{2}+2 x \ln \left(2\right)$&$187$\\ norman&$2 x \,{\mathrm e}^{{\mathrm e}^{20}+\left(-4 x^{2}+4 x \right) {\mathrm e}^{15}+\left(6 x^{4}-12 x^{3}+6 x^{2}\right) {\mathrm e}^{10}+\left(-4 x^{6}+12 x^{5}-12 x^{4}+4 x^{3}\right) {\mathrm e}^{5}+x^{8}-4 x^{7}+6 x^{6}-4 x^{5}+x^{4}}+4 \,{\mathrm e}^{{\mathrm e}^{20}+\left(-4 x^{2}+4 x \right) {\mathrm e}^{15}+\left(6 x^{4}-12 x^{3}+6 x^{2}\right) {\mathrm e}^{10}+\left(-4 x^{6}+12 x^{5}-12 x^{4}+4 x^{3}\right) {\mathrm e}^{5}+x^{8}-4 x^{7}+6 x^{6}-4 x^{5}+x^{4}}+x^{2}+2 x \ln \left(2\right)$&$187$\\ \hline \end{longtable}"," ",0,"(2*x+4)*exp(x^8-4*x^6*exp(5)-4*x^7+12*x^5*exp(5)+6*x^6+6*x^4*exp(10)-12*x^4*exp(5)-4*x^5-12*x^3*exp(10)+4*x^3*exp(5)+x^4-4*x^2*exp(15)+6*x^2*exp(10)+4*x*exp(15)+exp(20))+2*x*ln(2)+x^2","B"
7053,1,25,24,0.104000," ","int((((-3*x-1)*ln(x+1/3)+15-3*x)*exp((5-x)*ln(x+1/3))*exp(exp((5-x)*ln(x+1/3)))+108*x^3+540*x^2+492*x+108)/(3*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$108 x +{\mathrm e}^{\left(x +\frac{1}{3}\right)^{5-x}}+84 x^{2}+12 x^{3}$&$25$\\ default&$108 x +{\mathrm e}^{{\mathrm e}^{\left(5-x \right) \ln \left(x +\frac{1}{3}\right)}}+84 x^{2}+12 x^{3}$&$27$\\ \hline \end{longtable}"," ",0,"108*x+exp((x+1/3)^(5-x))+84*x^2+12*x^3","A"
7054,1,30,27,0.296000," ","int(((-16*x^6+8*x^5-x^4+24*x^3-6*x^2-9)*exp(-x^2/(4*x^3-x^2-3))+4*x^5+6*x^2)/(16*x^7-8*x^6+x^5-24*x^4+6*x^3+9*x)/exp(-x^2/(4*x^3-x^2-3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)-{\mathrm e}^{\frac{x^{2}}{\left(x -1\right) \left(4 x^{2}+3 x +3\right)}}$&$30$\\ norman&$\frac{\left(-4 x^{3}+x^{2}+3\right) {\mathrm e}^{\frac{x^{2}}{4 x^{3}-x^{2}-3}}}{4 x^{3}-x^{2}-3}-\ln \left(x \right)$&$53$\\ \hline \end{longtable}"," ",0,"-ln(x)-exp(x^2/(x-1)/(4*x^2+3*x+3))","A"
7055,1,55,19,0.027000," ","int(1/9*((8*x^2+64*x)*ln(2*x)^2+(-24*x^3-248*x^2-384*x+512)*ln(2*x)+16*x^4+184*x^3+384*x^2-512*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(4 x^{2}+64 x +256\right) \ln \left(2 x \right)^{2}}{9}+\frac{\left(-8 x^{3}-128 x^{2}-512 x \right) \ln \left(2 x \right)}{9}+\frac{4 x^{4}}{9}+\frac{64 x^{3}}{9}+\frac{256 x^{2}}{9}$&$55$\\ derivativedivides&$\frac{4 x^{2} \ln \left(2 x \right)^{2}}{9}-\frac{128 x^{2} \ln \left(2 x \right)}{9}+\frac{256 x^{2}}{9}-\frac{8 x^{3} \ln \left(2 x \right)}{9}+\frac{64 x^{3}}{9}+\frac{4 x^{4}}{9}+\frac{64 x \ln \left(2 x \right)^{2}}{9}-\frac{512 x \ln \left(2 x \right)}{9}+\frac{256 \ln \left(2 x \right)^{2}}{9}$&$70$\\ default&$\frac{4 x^{2} \ln \left(2 x \right)^{2}}{9}-\frac{128 x^{2} \ln \left(2 x \right)}{9}+\frac{256 x^{2}}{9}-\frac{8 x^{3} \ln \left(2 x \right)}{9}+\frac{64 x^{3}}{9}+\frac{4 x^{4}}{9}+\frac{64 x \ln \left(2 x \right)^{2}}{9}-\frac{512 x \ln \left(2 x \right)}{9}+\frac{256 \ln \left(2 x \right)^{2}}{9}$&$70$\\ norman&$\frac{4 x^{2} \ln \left(2 x \right)^{2}}{9}-\frac{128 x^{2} \ln \left(2 x \right)}{9}+\frac{256 x^{2}}{9}-\frac{8 x^{3} \ln \left(2 x \right)}{9}+\frac{64 x^{3}}{9}+\frac{4 x^{4}}{9}+\frac{64 x \ln \left(2 x \right)^{2}}{9}-\frac{512 x \ln \left(2 x \right)}{9}+\frac{256 \ln \left(2 x \right)^{2}}{9}$&$70$\\ \hline \end{longtable}"," ",0,"1/9*(4*x^2+64*x+256)*ln(2*x)^2+1/9*(-8*x^3-128*x^2-512*x)*ln(2*x)+4/9*x^4+64/9*x^3+256/9*x^2","B"
7056,1,20,22,0.043000," ","int((-2*exp(1/exp(2*x+ln(3)))*exp(exp(1/exp(2*x+ln(3)))-5)+(-2*x+10)*exp(x^2-10*x+25)*exp(2*x+ln(3)))/exp(2*x+ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\left(x -5\right)^{2}}+{\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{-2 x}}{3}}-5}$&$20$\\ default&$-{\mathrm e}^{x^{2}-10 x +25}+{\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{-2 x}}{3}}} {\mathrm e}^{-5}$&$24$\\ \hline \end{longtable}"," ",0,"-exp((x-5)^2)+exp(exp(1/3*exp(-2*x))-5)","A"
7057,1,7,8,0.015000," ","int((-8+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -8 \ln \left(x \right)$&$7$\\ norman&$x -8 \ln \left(x \right)$&$7$\\ risch&$x -8 \ln \left(x \right)$&$7$\\ \hline \end{longtable}"," ",0,"x-8*ln(x)","A"
7058,1,26,29,0.143000," ","int(((-120*x^2+120*x-30)*exp(4)-24*x^3+58*x^2-40*x+12)/(12*x^2-12*x+3)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-10 x -x^{2} {\mathrm e}^{-4}+\frac{17 x \,{\mathrm e}^{-4}}{6}-\frac{7 \,{\mathrm e}^{-4}}{24 \left(x -\frac{1}{2}\right)}$&$26$\\ default&$\frac{{\mathrm e}^{-4} \left(-3 x^{2}+\frac{17 x}{2}-30 x \,{\mathrm e}^{4}-\frac{7}{4 \left(2 x -1\right)}\right)}{3}$&$30$\\ gosper&$-\frac{\left(60 x^{2} {\mathrm e}^{4}+6 x^{3}-20 x^{2}-15 \,{\mathrm e}^{4}+6\right) {\mathrm e}^{-4}}{3 \left(2 x -1\right)}$&$37$\\ norman&$\frac{-2 \,{\mathrm e}^{-4} x^{3}-\frac{20 \left(-1+3 \,{\mathrm e}^{4}\right) {\mathrm e}^{-4} x^{2}}{3}+\left(5 \,{\mathrm e}^{4}-2\right) {\mathrm e}^{-4}}{2 x -1}$&$45$\\ meijerg&$\frac{4 \,{\mathrm e}^{-4} x}{1-2 x}-\frac{\left(-120 \,{\mathrm e}^{4}+58\right) {\mathrm e}^{-4} \left(-\frac{2 x \left(6-6 x \right)}{3 \left(1-2 x \right)}-2 \ln \left(1-2 x \right)\right)}{24}+\frac{\left(120 \,{\mathrm e}^{4}-40\right) {\mathrm e}^{-4} \left(\frac{2 x}{1-2 x}+\ln \left(1-2 x \right)\right)}{12}-\frac{{\mathrm e}^{-4} \left(\frac{x \left(-8 x^{2}-12 x +12\right)}{-4 x +2}+3 \ln \left(1-2 x \right)\right)}{2}-\frac{10 x}{1-2 x}$&$118$\\ \hline \end{longtable}"," ",0,"-10*x-x^2*exp(-4)+17/6*x*exp(-4)-7/24*exp(-4)/(x-1/2)","A"
7059,1,15,21,0.013000," ","int(((6*x^2+2*x)*ln(x)+2)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x^{2}+2 x +2 \ln \left(\ln \left(x \right)\right)$&$15$\\ norman&$3 x^{2}+2 x +2 \ln \left(\ln \left(x \right)\right)$&$15$\\ risch&$3 x^{2}+2 x +2 \ln \left(\ln \left(x \right)\right)$&$15$\\ \hline \end{longtable}"," ",0,"3*x^2+2*x+2*ln(ln(x))","A"
7060,1,42,22,0.176000," ","int(((4*(x-1)*ln(2)^2+2*(4*x^2-8*x-5)*ln(2)+4*x^3-12*x^2-6*x-4)*exp(x)+8*ln(2)^2+2*(8*x-8)*ln(2)+8*x^2-16*x+44)/(4*x^2*ln(2)^2+2*(4*x^3-4*x^2-18*x)*ln(2)+4*x^4-8*x^3-32*x^2+36*x+81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-4 x +\left(2 \ln \left(2\right)-2\right) {\mathrm e}^{x}+2 \,{\mathrm e}^{x} x +4-4 \ln \left(2\right)}{2 x \ln \left(2\right)+2 x^{2}-2 x -9}$&$42$\\ risch&$\frac{-2 x +2-2 \ln \left(2\right)}{x \ln \left(2\right)+x^{2}-x -\frac{9}{2}}+\frac{2 \left(x +\ln \left(2\right)-1\right) {\mathrm e}^{x}}{2 x \ln \left(2\right)+2 x^{2}-2 x -9}$&$52$\\ default&$\frac{2 \ln \left(2\right)^{3} {\mathrm e}^{x}}{\left(\ln \left(2\right)^{2}-2 \ln \left(2\right)+19\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}+\frac{3 \,{\mathrm e}^{x} \ln \left(2\right)^{2}}{\left(\ln \left(2\right)^{2}-2 \ln \left(2\right)+19\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}+\frac{49 \,{\mathrm e}^{x} \ln \left(2\right)}{\left(\ln \left(2\right)^{2}-2 \ln \left(2\right)+19\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}+\frac{{\mathrm e}^{x} \left(2 x \ln \left(2\right)^{3}-6 x \ln \left(2\right)^{2}-9 \ln \left(2\right)^{2}+33 x \ln \left(2\right)+18 \ln \left(2\right)-29 x -90\right)}{\left(\ln \left(2\right)^{2}-2 \ln \left(2\right)+19\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}+\frac{3 \,{\mathrm e}^{x} \left(2 x \ln \left(2\right)^{2}-4 x \ln \left(2\right)-9 \ln \left(2\right)+20 x +9\right)}{\left(\ln \left(2\right)^{2}-2 \ln \left(2\right)+19\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}-\frac{3 \,{\mathrm e}^{x} \left(x \ln \left(2\right)-x -9\right)}{\left(\ln \left(2\right)^{2}-2 \ln \left(2\right)+19\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}-\frac{32 \ln \left(2\right) x}{\left(-4 \ln \left(2\right)^{2}+8 \ln \left(2\right)-76\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}+\frac{2 \,{\mathrm e}^{x} \left(\ln \left(2\right)+2 x -1\right)}{\left(\ln \left(2\right)^{2}-2 \ln \left(2\right)+19\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}+\frac{-\frac{2 \left(\ln \left(2\right)^{2}-2 \ln \left(2\right)+10\right) x}{\ln \left(2\right)^{2}-2 \ln \left(2\right)+19}+\frac{8 \left(\frac{9 \ln \left(2\right)}{8}-\frac{9}{8}\right)}{\ln \left(2\right)^{2}-2 \ln \left(2\right)+19}}{x \ln \left(2\right)+x^{2}-x -\frac{9}{2}}+\frac{16 \ln \left(2\right)^{3}}{\left(-4 \ln \left(2\right)^{2}+8 \ln \left(2\right)-76\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}+\frac{2 \ln \left(2\right)^{2} {\mathrm e}^{x} x}{\left(\ln \left(2\right)^{2}-2 \ln \left(2\right)+19\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}-\frac{2 \ln \left(2\right)^{3} {\mathrm e}^{x} x}{\left(\ln \left(2\right)^{2}-2 \ln \left(2\right)+19\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}-\frac{22 \ln \left(2\right) {\mathrm e}^{x} x}{\left(\ln \left(2\right)^{2}-2 \ln \left(2\right)+19\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}-\frac{48 \ln \left(2\right)^{2}}{\left(-4 \ln \left(2\right)^{2}+8 \ln \left(2\right)-76\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}+\frac{320 \ln \left(2\right)}{\left(-4 \ln \left(2\right)^{2}+8 \ln \left(2\right)-76\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}+\frac{176 x +88 \ln \left(2\right)-88}{\left(-4 \ln \left(2\right)^{2}+8 \ln \left(2\right)-76\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}-\frac{144 \arctanh \left(\frac{4 x +2 \ln \left(2\right)-2}{2 \sqrt{\ln \left(2\right)^{2}-2 \ln \left(2\right)+19}}\right)}{\left(-4 \ln \left(2\right)^{2}+8 \ln \left(2\right)-76\right) \sqrt{\ln \left(2\right)^{2}-2 \ln \left(2\right)+19}}-\frac{16 \left(\left(2-2 \ln \left(2\right)\right) x +18\right)}{\left(-4 \ln \left(2\right)^{2}+8 \ln \left(2\right)-76\right) \left(2 x \ln \left(2\right)+2 x^{2}-2 x -9\right)}-\frac{72 \arctanh \left(\frac{4 x +2 \ln \left(2\right)-2}{2 \sqrt{\ln \left(2\right)^{2}-2 \ln \left(2\right)+19}}\right)}{\left(2 \ln \left(2\right)^{2}-4 \ln \left(2\right)+38\right) \sqrt{\ln \left(2\right)^{2}-2 \ln \left(2\right)+19}}$&$819$\\ \hline \end{longtable}"," ",0,"(-4*x+(2*ln(2)-2)*exp(x)+2*exp(x)*x+4-4*ln(2))/(2*x*ln(2)+2*x^2-2*x-9)","A"
7061,1,17,16,0.125000," ","int((128*x*exp(16)^2+256*x^2+384*x)/(exp(16)^4+(8*x+6)*exp(16)^2+16*x^2+24*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{64 x^{2}}{{\mathrm e}^{32}+4 x +3}$&$17$\\ norman&$\frac{64 x^{2}}{{\mathrm e}^{32}+4 x +3}$&$17$\\ risch&$16 x +\frac{4 \,{\mathrm e}^{64}}{{\mathrm e}^{32}+4 x +3}+\frac{24 \,{\mathrm e}^{32}}{{\mathrm e}^{32}+4 x +3}+\frac{36}{{\mathrm e}^{32}+4 x +3}$&$42$\\ meijerg&$\frac{\left(128 \,{\mathrm e}^{32}+384\right) \left(-\frac{4 x}{\left({\mathrm e}^{32}+3\right) \left(1+\frac{4 x}{{\mathrm e}^{32}+3}\right)}+\ln \left(1+\frac{4 x}{{\mathrm e}^{32}+3}\right)\right)}{16}+\frac{\left({\mathrm e}^{32}+3\right)^{2} \left(\frac{4 x \left(\frac{12 x}{{\mathrm e}^{32}+3}+6\right)}{3 \left({\mathrm e}^{32}+3\right) \left(1+\frac{4 x}{{\mathrm e}^{32}+3}\right)}-2 \ln \left(1+\frac{4 x}{{\mathrm e}^{32}+3}\right)\right)}{\frac{{\mathrm e}^{32}}{4}+\frac{3}{4}}$&$108$\\ \hline \end{longtable}"," ",0,"64*x^2/(exp(16)^2+4*x+3)","A"
7062,1,25,27,0.063000," ","int(((8*x-32)*ln(2)-10*x^3+3*x^2+182*x-45)/((x^2-8*x+9)*ln(2)-x^4+3*x^3+31*x^2-45*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(x^{2}-8 x +9\right)+\ln \left(x^{2}-\ln \left(2\right)+5 x \right)$&$25$\\ norman&$4 \ln \left(x^{2}-8 x +9\right)+\ln \left(-x^{2}+\ln \left(2\right)-5 x \right)$&$25$\\ risch&$4 \ln \left(x^{2}-8 x +9\right)+\ln \left(x^{2}-\ln \left(2\right)+5 x \right)$&$25$\\ \hline \end{longtable}"," ",0,"4*ln(x^2-8*x+9)+ln(x^2-ln(2)+5*x)","A"
7063,1,29,23,0.114000," ","int(1/24*((-6627*x^4+376*x^3-96*x+432)*exp(1/144*(-19881*x^4+2256*x^3-9496*x^2+576*x-1296)/x^2)+24*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-\frac{19881 x^{4}-2256 x^{3}+9496 x^{2}-576 x +1296}{144 x^{2}}}$&$29$\\ norman&$\frac{x^{3}+x^{2} {\mathrm e}^{\frac{-19881 x^{4}+2256 x^{3}-9496 x^{2}+576 x -1296}{144 x^{2}}}}{x^{2}}$&$39$\\ \hline \end{longtable}"," ",0,"x+exp(-1/144*(19881*x^4-2256*x^3+9496*x^2-576*x+1296)/x^2)","A"
7064,1,17,19,0.033000," ","int(1/4*((2*x^2+x-1)*exp(x^2+x)-4*exp(3)+18)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{{\mathrm e}^{x^{2}+x}}{4}+{\mathrm e}^{3}-\frac{9}{2}}{x}$&$17$\\ risch&$\frac{{\mathrm e}^{3}}{x}-\frac{9}{2 x}+\frac{{\mathrm e}^{\left(x +1\right) x}}{4 x}$&$24$\\ \hline \end{longtable}"," ",0,"(1/4*exp(x^2+x)+exp(3)-9/2)/x","A"
7065,1,30,29,0.057000," ","int((((-2*exp(1)+2*x)*exp(x)^2+2*(-3*exp(1)+3*x)*ln(2)*exp(x)+(-6*x+3)*exp(1)+6*x^2-3*x)*ln(exp(1)-x)-exp(x)^2-6*exp(x)*ln(2)-3*x^2+3*x)/((exp(1)-x)*exp(x)^4+2*(6*exp(1)-6*x)*ln(2)*exp(x)^3+(4*(9*exp(1)-9*x)*ln(2)^2+(6*x^2-6*x)*exp(1)-6*x^3+6*x^2)*exp(x)^2+2*((18*x^2-18*x)*exp(1)-18*x^3+18*x^2)*ln(2)*exp(x)+(9*x^4-18*x^3+9*x^2)*exp(1)-9*x^5+18*x^4-9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}-x \right)}{{\mathrm e}^{2 x}+3 x^{2}+6 \,{\mathrm e}^{x} \ln \left(2\right)-3 x}$&$30$\\ \hline \end{longtable}"," ",0,"ln(exp(1)-x)/(exp(2*x)+3*x^2+6*exp(x)*ln(2)-3*x)","A"
7066,1,36,18,0.026000," ","int((8*x^2*ln(x)^2*exp(1/4*(-8*ln(x)+15)/ln(x))+15)/(4*x^3*ln(x)^2*exp(1/4*(-8*ln(x)+15)/ln(x))+4*x*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right)-\frac{-8 \ln \left(x \right)+15}{4 \ln \left(x \right)}+\ln \left({\mathrm e}^{-\frac{8 \ln \left(x \right)-15}{4 \ln \left(x \right)}}+\frac{1}{x^{2}}\right)$&$36$\\ \hline \end{longtable}"," ",0,"2*ln(x)-1/4*(-8*ln(x)+15)/ln(x)+ln(exp(-1/4*(8*ln(x)-15)/ln(x))+1/x^2)","A"
7067,1,31,21,0.048000," ","int((108*x^4*ln(ln(2))^4-144*x^2*ln(2)*ln(ln(2))^2-144*ln(2)^2)/x^2/ln(ln(2))^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$36 x^{3}-\frac{144 x \ln \left(2\right)}{\ln \left(\ln \left(2\right)\right)^{2}}+\frac{144 \ln \left(2\right)^{2}}{\ln \left(\ln \left(2\right)\right)^{4} x}$&$31$\\ default&$\frac{36 x^{3} \ln \left(\ln \left(2\right)\right)^{4}-144 x \ln \left(2\right) \ln \left(\ln \left(2\right)\right)^{2}+\frac{144 \ln \left(2\right)^{2}}{x}}{\ln \left(\ln \left(2\right)\right)^{4}}$&$37$\\ gosper&$\frac{36 x^{4} \ln \left(\ln \left(2\right)\right)^{4}-144 x^{2} \ln \left(2\right) \ln \left(\ln \left(2\right)\right)^{2}+144 \ln \left(2\right)^{2}}{\ln \left(\ln \left(2\right)\right)^{4} x}$&$39$\\ norman&$\frac{\frac{144 \ln \left(2\right)^{2}}{\ln \left(\ln \left(2\right)\right)}+36 \ln \left(\ln \left(2\right)\right)^{3} x^{4}-144 \ln \left(2\right) \ln \left(\ln \left(2\right)\right) x^{2}}{x \ln \left(\ln \left(2\right)\right)^{3}}$&$42$\\ \hline \end{longtable}"," ",0,"36*x^3-144/ln(ln(2))^2*x*ln(2)+144/ln(ln(2))^4*ln(2)^2/x","A"
7068,1,21,19,0.305000," ","int((2*exp(x)*ln(ln(2)-4)+(-2*x+2)*exp(x)-1)*exp((2*exp(x)-1)/(2*ln(ln(2)-4)-2*x))/(2*ln(ln(2)-4)^2-4*x*ln(ln(2)-4)+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 \,{\mathrm e}^{x}-1}{2 \left(x -\ln \left(\ln \left(2\right)-4\right)\right)}}$&$21$\\ norman&$\frac{\ln \left(\ln \left(2\right)-4\right) {\mathrm e}^{\frac{2 \,{\mathrm e}^{x}-1}{2 \ln \left(\ln \left(2\right)-4\right)-2 x}}-x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{x}-1}{2 \ln \left(\ln \left(2\right)-4\right)-2 x}}}{\ln \left(\ln \left(2\right)-4\right)-x}$&$65$\\ \hline \end{longtable}"," ",0,"exp(-1/2*(2*exp(x)-1)/(x-ln(ln(2)-4)))","A"
7069,1,64,32,0.152000," ","int((((-4*x^4+28*x^3-38*x^2-20*x+20)*exp(x^2)+(-2*x^2+20*x-20)*exp(1)-12*x^2)*ln(x)+(28*x^3-58*x^2-14*x+8)*exp(x^2)+(2*x^2+14*x-8)*exp(1)-4*x^3-40*x)/(x^4-4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{28 x -4 x^{2} \ln \left(x \right)+\left(2 \,{\mathrm e}+20\right) x \ln \left(x \right)-10 \,{\mathrm e} \ln \left(x \right)+10 \,{\mathrm e}^{x^{2}} \ln \left(x \right)-2 x \,{\mathrm e}^{x^{2}} \ln \left(x \right)-14 \,{\mathrm e}+14 \,{\mathrm e}^{x^{2}}}{\left(x -2\right) x}$&$64$\\ risch&$\frac{2 \left(x \,{\mathrm e}-{\mathrm e}^{x^{2}} x -5 \,{\mathrm e}+6 x +5 \,{\mathrm e}^{x^{2}}\right) \ln \left(x \right)}{\left(x -2\right) x}-\frac{2 \left(2 x^{2} \ln \left(x \right)-4 x \ln \left(x \right)+7 \,{\mathrm e}-14 x -7 \,{\mathrm e}^{x^{2}}\right)}{\left(x -2\right) x}$&$75$\\ default&$\frac{10 \,{\mathrm e}^{x^{2}} \ln \left(x \right)-2 x \,{\mathrm e}^{x^{2}} \ln \left(x \right)+14 \,{\mathrm e}^{x^{2}}}{x \left(x -2\right)}+\frac{3 \,{\mathrm e} \ln \left(x \right)}{2}-10 \ln \left(x \right)+\frac{7 \,{\mathrm e}}{x}-\frac{7 \,{\mathrm e}}{x -2}+\frac{28}{x -2}+\frac{5 \,{\mathrm e} \ln \left(x \right)}{x}-\frac{3 \,{\mathrm e} \ln \left(x \right) x}{2 \left(x -2\right)}+\frac{6 \ln \left(x \right) x}{x -2}$&$99$\\ \hline \end{longtable}"," ",0,"(28*x-4*x^2*ln(x)+(2*exp(1)+20)*x*ln(x)-10*exp(1)*ln(x)+10*exp(x^2)*ln(x)-2*x*exp(x^2)*ln(x)-14*exp(1)+14*exp(x^2))/(x-2)/x","A"
7070,1,26,23,0.129000," ","int((((-x^2+4)*exp(x)+x^4-4*x^2)*ln((-x^2+4)/x)-8*exp(x)+x^4-2*x^3+4*x^2+8*x)/((x^2-4)*exp(x)-x^4+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x \ln \left(\frac{-x^{2}+4}{x}\right)+\ln \left(-{\mathrm e}^{x}+x^{2}\right)$&$26$\\ risch&$-x \ln \left(x^{2}-4\right)+x \ln \left(x \right)+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x^{2}-4\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x}\right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x}\right)^{2}}{2}+i \pi  x \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x}\right)^{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x^{2}-4\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x^{2}-4\right)}{x}\right)^{3}}{2}-i \pi  x +\ln \left({\mathrm e}^{x}-x^{2}\right)$&$154$\\ \hline \end{longtable}"," ",0,"-x*ln((-x^2+4)/x)+ln(-exp(x)+x^2)","A"
7071,1,35,25,0.044000," ","int(1/3*(((2*x^6-9*x^5-3*x^4-5*x^3)*exp(x)-2*x^7+10*x^6-3*x^5+10*x^4)*exp(x^2)-18)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{x^{2}}+\frac{\left(-x^{3}+{\mathrm e}^{x} x^{2}+5 x^{2}-5 \,{\mathrm e}^{x} x \right) {\mathrm e}^{x^{2}}}{3}$&$35$\\ default&$\frac{3}{x^{2}}+\frac{5 x^{2} {\mathrm e}^{x^{2}}}{3}-\frac{x^{3} {\mathrm e}^{x^{2}}}{3}-\frac{5 x \,{\mathrm e}^{x^{2}+x}}{3}+\frac{x^{2} {\mathrm e}^{x^{2}+x}}{3}$&$45$\\ norman&$\frac{3+\frac{5 x^{4} {\mathrm e}^{x^{2}}}{3}-\frac{{\mathrm e}^{x^{2}} x^{5}}{3}-\frac{5 \,{\mathrm e}^{x} {\mathrm e}^{x^{2}} x^{3}}{3}+\frac{{\mathrm e}^{x} {\mathrm e}^{x^{2}} x^{4}}{3}}{x^{2}}$&$47$\\ \hline \end{longtable}"," ",0,"3/x^2+1/3*(-x^3+exp(x)*x^2+5*x^2-5*exp(x)*x)*exp(x^2)","A"
7072,1,53,17,0.028000," ","int(1/16*(13*x^12+36*x^11+88*x^10+240*x^9+216*x^8+576*x^7+224*x^6+576*x^5+80*x^4+192*x^3)*ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{4} \left(x^{9}+3 x^{8}+8 x^{7}+24 x^{6}+24 x^{5}+72 x^{4}+32 x^{3}+96 x^{2}+16 x +48\right) \ln \left(2\right)^{2}}{16}$&$53$\\ default&$\frac{\ln \left(2\right)^{2} \left(x^{13}+3 x^{12}+8 x^{11}+24 x^{10}+24 x^{9}+72 x^{8}+32 x^{7}+96 x^{6}+16 x^{5}+48 x^{4}\right)}{16}$&$56$\\ norman&$x^{5} \ln \left(2\right)^{2}+3 x^{4} \ln \left(2\right)^{2}+6 x^{6} \ln \left(2\right)^{2}+2 x^{7} \ln \left(2\right)^{2}+\frac{9 \ln \left(2\right)^{2} x^{8}}{2}+\frac{3 \ln \left(2\right)^{2} x^{9}}{2}+\frac{3 \ln \left(2\right)^{2} x^{10}}{2}+\frac{\ln \left(2\right)^{2} x^{11}}{2}+\frac{3 \ln \left(2\right)^{2} x^{12}}{16}+\frac{\ln \left(2\right)^{2} x^{13}}{16}$&$91$\\ risch&$x^{5} \ln \left(2\right)^{2}+3 x^{4} \ln \left(2\right)^{2}+6 x^{6} \ln \left(2\right)^{2}+2 x^{7} \ln \left(2\right)^{2}+\frac{9 \ln \left(2\right)^{2} x^{8}}{2}+\frac{3 \ln \left(2\right)^{2} x^{9}}{2}+\frac{3 \ln \left(2\right)^{2} x^{10}}{2}+\frac{\ln \left(2\right)^{2} x^{11}}{2}+\frac{3 \ln \left(2\right)^{2} x^{12}}{16}+\frac{\ln \left(2\right)^{2} x^{13}}{16}$&$91$\\ \hline \end{longtable}"," ",0,"1/16*x^4*(x^9+3*x^8+8*x^7+24*x^6+24*x^5+72*x^4+32*x^3+96*x^2+16*x+48)*ln(2)^2","B"
7073,1,17,21,0.021000," ","int((-60*x^2+240*x+3540)/(4*x^4+116*x^3+1081*x^2+3480*x+3600),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{15 x -30}{x^{2}+\frac{29}{2} x +30}$&$17$\\ gosper&$\frac{30 x -60}{2 x^{2}+29 x +60}$&$18$\\ default&$-\frac{270}{19 \left(5+2 x \right)}+\frac{420}{19 \left(x +12\right)}$&$18$\\ norman&$\frac{30 x -60}{2 x^{2}+29 x +60}$&$19$\\ \hline \end{longtable}"," ",0,"(15*x-30)/(x^2+29/2*x+30)","A"
7074,1,90,26,0.072000," ","int(((6*x^5+40*x^4+96*x^3+96*x^2+32*x)*exp(5)^4+(28*x^6+192*x^5+480*x^4+512*x^3+192*x^2)*exp(5)^3+(48*x^7+336*x^6+792*x^5+480*x^4-768*x^3-1152*x^2-384*x)*exp(5)^2+(36*x^8+256*x^7+504*x^6-384*x^5-2560*x^4-3072*x^3-1152*x^2)*exp(5)+10*x^9+72*x^8+96*x^7-448*x^6-1416*x^5-480*x^4+2688*x^3+3456*x^2+1152*x)*exp(25)^2+((-24*x^3-72*x^2-48*x)*exp(5)^2+(-60*x^4-192*x^3-144*x^2)*exp(5)-36*x^5-120*x^4+48*x^3+432*x^2+288*x)*exp(25)+18*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{2} \left({\mathrm e}^{25} x^{2} {\mathrm e}^{10}+2 \,{\mathrm e}^{5} {\mathrm e}^{25} x^{3}+x^{4} {\mathrm e}^{25}+4 \,{\mathrm e}^{10} {\mathrm e}^{25} x +8 \,{\mathrm e}^{5} {\mathrm e}^{25} x^{2}+4 x^{3} {\mathrm e}^{25}+4 \,{\mathrm e}^{10} {\mathrm e}^{25}+8 \,{\mathrm e}^{5} {\mathrm e}^{25} x -2 x^{2} {\mathrm e}^{25}-24 x \,{\mathrm e}^{25}-24 \,{\mathrm e}^{25}-3\right)^{2}$&$90$\\ default&${\mathrm e}^{50} \left({\mathrm e}^{20} \left(x^{6}+8 x^{5}+24 x^{4}+32 x^{3}+16 x^{2}\right)+{\mathrm e}^{15} \left(4 x^{7}+32 x^{6}+96 x^{5}+128 x^{4}+64 x^{3}\right)+{\mathrm e}^{10} \left(6 x^{8}+48 x^{7}+132 x^{6}+96 x^{5}-192 x^{4}-384 x^{3}-192 x^{2}\right)+{\mathrm e}^{5} \left(4 x^{9}+32 x^{8}+72 x^{7}-64 x^{6}-512 x^{5}-768 x^{4}-384 x^{3}\right)+x^{10}+8 x^{9}+12 x^{8}-64 x^{7}-236 x^{6}-96 x^{5}+672 x^{4}+1152 x^{3}+576 x^{2}\right)+{\mathrm e}^{25} \left({\mathrm e}^{10} \left(-6 x^{4}-24 x^{3}-24 x^{2}\right)+{\mathrm e}^{5} \left(-12 x^{5}-48 x^{4}-48 x^{3}\right)-6 x^{6}-24 x^{5}+12 x^{4}+144 x^{3}+144 x^{2}\right)+9 x^{2}$&$265$\\ risch&$9 x^{2}+144 x^{2} {\mathrm e}^{25}+144 x^{3} {\mathrm e}^{25}+12 x^{4} {\mathrm e}^{25}-12 \,{\mathrm e}^{25} x^{5} {\mathrm e}^{5}-48 \,{\mathrm e}^{25} x^{4} {\mathrm e}^{5}-6 \,{\mathrm e}^{25} x^{4} {\mathrm e}^{10}-24 \,{\mathrm e}^{25} x^{3} {\mathrm e}^{10}-24 \,{\mathrm e}^{25} x^{2} {\mathrm e}^{10}-6 \,{\mathrm e}^{25} x^{6}+{\mathrm e}^{50} x^{10}+4 \,{\mathrm e}^{50} x^{9} {\mathrm e}^{5}+32 \,{\mathrm e}^{50} x^{8} {\mathrm e}^{5}+6 \,{\mathrm e}^{50} x^{8} {\mathrm e}^{10}+72 \,{\mathrm e}^{50} x^{7} {\mathrm e}^{5}+48 \,{\mathrm e}^{50} x^{7} {\mathrm e}^{10}+4 \,{\mathrm e}^{50} x^{7} {\mathrm e}^{15}+672 \,{\mathrm e}^{50} x^{4}+1152 \,{\mathrm e}^{50} x^{3}+576 \,{\mathrm e}^{50} x^{2}-24 \,{\mathrm e}^{25} x^{5}+8 \,{\mathrm e}^{50} x^{9}+12 \,{\mathrm e}^{50} x^{8}-64 \,{\mathrm e}^{50} x^{7}-236 \,{\mathrm e}^{50} x^{6}-96 \,{\mathrm e}^{50} x^{5}-64 \,{\mathrm e}^{50} x^{6} {\mathrm e}^{5}+132 \,{\mathrm e}^{50} x^{6} {\mathrm e}^{10}+32 \,{\mathrm e}^{50} x^{6} {\mathrm e}^{15}+{\mathrm e}^{50} x^{6} {\mathrm e}^{20}-512 \,{\mathrm e}^{50} x^{5} {\mathrm e}^{5}+96 \,{\mathrm e}^{50} x^{5} {\mathrm e}^{10}+96 \,{\mathrm e}^{50} x^{5} {\mathrm e}^{15}+8 \,{\mathrm e}^{50} x^{5} {\mathrm e}^{20}-768 \,{\mathrm e}^{50} x^{4} {\mathrm e}^{5}-192 \,{\mathrm e}^{50} x^{4} {\mathrm e}^{10}+128 \,{\mathrm e}^{50} x^{4} {\mathrm e}^{15}+24 \,{\mathrm e}^{50} x^{4} {\mathrm e}^{20}-384 \,{\mathrm e}^{50} x^{3} {\mathrm e}^{5}-384 \,{\mathrm e}^{50} x^{3} {\mathrm e}^{10}+64 \,{\mathrm e}^{50} x^{3} {\mathrm e}^{15}+32 \,{\mathrm e}^{50} x^{3} {\mathrm e}^{20}-192 \,{\mathrm e}^{50} x^{2} {\mathrm e}^{10}+16 \,{\mathrm e}^{50} x^{2} {\mathrm e}^{20}-48 \,{\mathrm e}^{5} {\mathrm e}^{25} x^{3}$&$373$\\ norman&$\left(4 \,{\mathrm e}^{5} {\mathrm e}^{50}+8 \,{\mathrm e}^{50}\right) x^{9}+\left(6 \,{\mathrm e}^{10} {\mathrm e}^{50}+32 \,{\mathrm e}^{5} {\mathrm e}^{50}+12 \,{\mathrm e}^{50}\right) x^{8}+\left(4 \,{\mathrm e}^{15} {\mathrm e}^{50}+48 \,{\mathrm e}^{10} {\mathrm e}^{50}+72 \,{\mathrm e}^{5} {\mathrm e}^{50}-64 \,{\mathrm e}^{50}\right) x^{7}+\left({\mathrm e}^{20} {\mathrm e}^{50}+32 \,{\mathrm e}^{15} {\mathrm e}^{50}+132 \,{\mathrm e}^{10} {\mathrm e}^{50}-64 \,{\mathrm e}^{5} {\mathrm e}^{50}-236 \,{\mathrm e}^{50}-6 \,{\mathrm e}^{25}\right) x^{6}+\left(16 \,{\mathrm e}^{20} {\mathrm e}^{50}-192 \,{\mathrm e}^{10} {\mathrm e}^{50}-24 \,{\mathrm e}^{10} {\mathrm e}^{25}+576 \,{\mathrm e}^{50}+144 \,{\mathrm e}^{25}+9\right) x^{2}+\left(8 \,{\mathrm e}^{20} {\mathrm e}^{50}+96 \,{\mathrm e}^{15} {\mathrm e}^{50}+96 \,{\mathrm e}^{10} {\mathrm e}^{50}-512 \,{\mathrm e}^{5} {\mathrm e}^{50}-12 \,{\mathrm e}^{5} {\mathrm e}^{25}-96 \,{\mathrm e}^{50}-24 \,{\mathrm e}^{25}\right) x^{5}+\left(24 \,{\mathrm e}^{20} {\mathrm e}^{50}+128 \,{\mathrm e}^{15} {\mathrm e}^{50}-192 \,{\mathrm e}^{10} {\mathrm e}^{50}-6 \,{\mathrm e}^{10} {\mathrm e}^{25}-768 \,{\mathrm e}^{5} {\mathrm e}^{50}-48 \,{\mathrm e}^{5} {\mathrm e}^{25}+672 \,{\mathrm e}^{50}+12 \,{\mathrm e}^{25}\right) x^{4}+\left(32 \,{\mathrm e}^{20} {\mathrm e}^{50}+64 \,{\mathrm e}^{15} {\mathrm e}^{50}-384 \,{\mathrm e}^{10} {\mathrm e}^{50}-24 \,{\mathrm e}^{10} {\mathrm e}^{25}-384 \,{\mathrm e}^{5} {\mathrm e}^{50}-48 \,{\mathrm e}^{5} {\mathrm e}^{25}+1152 \,{\mathrm e}^{50}+144 \,{\mathrm e}^{25}\right) x^{3}+{\mathrm e}^{50} x^{10}$&$386$\\ \hline \end{longtable}"," ",0,"x^2*(exp(5)^2*exp(25)*x^2+2*exp(5)*exp(25)*x^3+x^4*exp(25)+4*exp(5)^2*exp(25)*x+8*exp(5)*exp(25)*x^2+4*x^3*exp(25)+4*exp(5)^2*exp(25)+8*exp(5)*exp(25)*x-2*x^2*exp(25)-24*x*exp(25)-24*exp(25)-3)^2","B"
7075,1,16,17,0.037000," ","int(1/3*(((30*x^2+60*x)*exp(x)+4*x-18)*ln(x)-30*exp(x)*x-2*x+18)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x \left(15 \,{\mathrm e}^{x} x +x -9\right)}{3 \ln \left(x \right)}$&$16$\\ norman&$\frac{-6 x +\frac{2 x^{2}}{3}+10 \,{\mathrm e}^{x} x^{2}}{\ln \left(x \right)}$&$22$\\ default&$\frac{2 x^{2}}{3 \ln \left(x \right)}-\frac{6 x}{\ln \left(x \right)}+\frac{10 \,{\mathrm e}^{x} x^{2}}{\ln \left(x \right)}$&$29$\\ \hline \end{longtable}"," ",0,"2/3*x*(15*exp(x)*x+x-9)/ln(x)","A"
7076,1,1224,30,0.771000," ","int(((x-2)*exp(x)^2*ln(x)*ln(-ln(x)/(x-2))^2+((2*x-4)*exp(x)^2*ln(x)^2+(-4*exp(x)^2+((2*x^3-8*x^2+8*x)*ln(5)+2*x^4-10*x^3+12*x^2)*exp(x))*ln(x)+(2*x-4)*exp(x)^2)*ln(-ln(x)/(x-2))+(x-2)*exp(x)^2*ln(x)^3+(-4*exp(x)^2+((2*x^3-8*x^2+8*x)*ln(5)+2*x^4-10*x^3+12*x^2)*exp(x))*ln(x)^2+((2*x-4)*exp(x)^2+(4*x*ln(5)+4*x^2)*exp(x)+(-2*x^4+7*x^3-6*x^2)*ln(5)^2+(-4*x^5+16*x^4-16*x^3)*ln(5)-2*x^6+9*x^5-10*x^4)*ln(x)+((-2*x^2+4*x)*ln(5)-2*x^3+4*x^2)*exp(x))*exp((x*exp(x)^2*ln(-ln(x)/(x-2))^2+(2*x*exp(x)^2*ln(x)+(-2*x^2*ln(5)-2*x^3)*exp(x))*ln(-ln(x)/(x-2))+x*exp(x)^2*ln(x)^2+(-2*x^2*ln(5)-2*x^3)*exp(x)*ln(x)+x^3*ln(5)^2+2*x^4*ln(5)+x^5)/exp(x)^2)/(x-2)/exp(x)^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x -2\right)^{2 i \pi  x} \ln \left(x \right)^{-2 i \pi  x} \left(x -2\right)^{-i x \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \pi} 5^{-2 i x^{2} \pi  \,{\mathrm e}^{-x}} x^{-i x \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right) \pi} 5^{-i x^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right) \pi  \,{\mathrm e}^{-x}} \left(x -2\right)^{-2 i \pi  x} 5^{i x^{2} \mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right) \pi  \,{\mathrm e}^{-x}} \ln \left(x \right)^{i x \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \pi} \left(x -2\right)^{2 x^{2} \ln \left(5\right) {\mathrm e}^{-x}} x^{i x \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \pi} \left(x -2\right)^{2 x^{3} {\mathrm e}^{-x}} \ln \left(x \right)^{i x \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \pi} \ln \left(x \right)^{-2 x^{3} {\mathrm e}^{-x}} x^{2 i \pi  x} \left(x -2\right)^{-2 x \ln \left(x \right)} \left(x -2\right)^{-i x \,\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right) \pi} \ln \left(x \right)^{-i x \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right) \pi} \ln \left(x \right)^{-2 x^{2} \ln \left(5\right) {\mathrm e}^{-x}} 5^{-i x^{2} \mathrm{csgn}\left(\frac{i}{x -2}\right) \pi  \,{\mathrm e}^{-x}} \ln \left(x \right)^{2 i \pi  x} x^{-2 i \pi  x} 25^{{\mathrm e}^{-2 x} x^{4}} \ln \left(x \right)^{i x \,\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right) \pi} \left(x -2\right)^{-i x \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \pi} x^{-2 x^{2} \ln \left(5\right) {\mathrm e}^{-x}} 5^{2 i x^{2} \pi  \,{\mathrm e}^{-x}} x^{i x \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \pi} 5^{-i x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \pi  \,{\mathrm e}^{-x}} x^{i x \,\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right) \pi} \left(x -2\right)^{i x \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right) \pi} \ln \left(x \right)^{-2 x \ln \left(x -2\right)} \ln \left(x \right)^{2 x \ln \left(x \right)} x^{-2 x^{3} {\mathrm e}^{-x}} {\mathrm e}^{-\frac{x \left(4 \pi^{2}-4 \ln \left(x -2\right)^{2}-4 \ln \left(\ln \left(x \right)\right)^{2}-4 \ln \left(x \right)^{2}+4 \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{2} \pi^{2}+4 \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{2} \pi^{2}+2 \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{5} \pi^{2}+\mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{4} \pi^{2}+\mathrm{csgn}\left(\frac{i}{x -2}\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{4} \pi^{2}-4 \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{4} \pi^{2}-4 \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{4} \pi^{2}+2 \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{5} \pi^{2}-4 \,{\mathrm e}^{-2 x} x^{4}+4 i x^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{3} \pi  \,{\mathrm e}^{-x}-8 i x^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{2} \pi  \,{\mathrm e}^{-x}-4 i x^{2} \mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right) \pi  \,{\mathrm e}^{-x}+8 i x^{2} \pi  \,{\mathrm e}^{-x}-4 \ln \left(5\right)^{2} {\mathrm e}^{-2 x} x^{2}+\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{6} \pi^{2}+4 \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{3} \pi^{2}-8 \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{2} \pi^{2}-4 \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{5} \pi^{2}+4 \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{4} \pi^{2}+4 i x^{2} \mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{2} \pi  \,{\mathrm e}^{-x}+4 i x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{2} \pi  \,{\mathrm e}^{-x}-2 \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i}{x -2}\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{3} \pi^{2}+\mathrm{csgn}\left(\frac{i}{x -2}\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{2} \pi^{2}+4 \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{3} \pi^{2}-2 \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right)^{3} \pi^{2}-4 \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x -2}\right) \pi^{2}\right)}{4}}$&$1224$\\ \hline \end{longtable}"," ",0,"(x-2)^(2*I*Pi*x)*ln(x)^(-2*I*Pi*x)*(x-2)^(-I*x*csgn(I/(x-2))*Pi)*5^(-2*I*x^2*Pi*exp(-x))*x^(-I*x*csgn(I/(x-2))*csgn(I*ln(x))*csgn(I*ln(x)/(x-2))*Pi)*5^(-I*x^2*csgn(I*ln(x)/(x-2))*Pi*exp(-x))*(x-2)^(-2*I*Pi*x)*5^(I*x^2*csgn(I/(x-2))*csgn(I*ln(x))*csgn(I*ln(x)/(x-2))*Pi*exp(-x))*ln(x)^(I*x*csgn(I*ln(x))*Pi)*(x-2)^(2*x^2*ln(5)*exp(-x))*x^(I*x*csgn(I*ln(x))*Pi)*(x-2)^(2*x^3*exp(-x))*ln(x)^(I*x*csgn(I/(x-2))*Pi)*ln(x)^(-2*x^3*exp(-x))*x^(2*I*Pi*x)*(x-2)^(-2*x*ln(x))*(x-2)^(-I*x*csgn(I*ln(x)/(x-2))*Pi)*ln(x)^(-I*x*csgn(I/(x-2))*csgn(I*ln(x))*csgn(I*ln(x)/(x-2))*Pi)*ln(x)^(-2*x^2*ln(5)*exp(-x))*5^(-I*x^2*csgn(I/(x-2))*Pi*exp(-x))*ln(x)^(2*I*Pi*x)*x^(-2*I*Pi*x)*25^(exp(-2*x)*x^4)*ln(x)^(I*x*csgn(I*ln(x)/(x-2))*Pi)*(x-2)^(-I*x*csgn(I*ln(x))*Pi)*x^(-2*x^2*ln(5)*exp(-x))*5^(2*I*x^2*Pi*exp(-x))*x^(I*x*csgn(I/(x-2))*Pi)*5^(-I*x^2*csgn(I*ln(x))*Pi*exp(-x))*x^(I*x*csgn(I*ln(x)/(x-2))*Pi)*(x-2)^(I*x*csgn(I/(x-2))*csgn(I*ln(x))*csgn(I*ln(x)/(x-2))*Pi)*ln(x)^(-2*x*ln(x-2))*ln(x)^(2*x*ln(x))*x^(-2*x^3*exp(-x))*exp(-1/4*x*(4*Pi^2-4*ln(x-2)^2-4*ln(ln(x))^2-4*ln(x)^2+4*I*x^2*csgn(I/(x-2))*csgn(I*ln(x)/(x-2))^2*Pi*exp(-x)+4*I*x^2*csgn(I*ln(x))*csgn(I*ln(x)/(x-2))^2*Pi*exp(-x)-2*csgn(I*ln(x))*csgn(I/(x-2))^2*csgn(I*ln(x)/(x-2))^3*Pi^2+csgn(I/(x-2))^2*csgn(I*ln(x))^2*csgn(I*ln(x)/(x-2))^2*Pi^2+4*csgn(I/(x-2))*csgn(I*ln(x))*csgn(I*ln(x)/(x-2))^3*Pi^2-2*csgn(I/(x-2))*csgn(I*ln(x))^2*csgn(I*ln(x)/(x-2))^3*Pi^2-4*csgn(I/(x-2))*csgn(I*ln(x))*csgn(I*ln(x)/(x-2))*Pi^2+4*csgn(I*ln(x))*csgn(I*ln(x)/(x-2))^2*Pi^2+4*csgn(I/(x-2))*csgn(I*ln(x)/(x-2))^2*Pi^2-4*exp(-2*x)*x^4+csgn(I*ln(x)/(x-2))^6*Pi^2+4*csgn(I*ln(x)/(x-2))^3*Pi^2-8*csgn(I*ln(x)/(x-2))^2*Pi^2-4*csgn(I*ln(x)/(x-2))^5*Pi^2+4*csgn(I*ln(x)/(x-2))^4*Pi^2+8*I*x^2*Pi*exp(-x)-4*I*x^2*csgn(I/(x-2))*csgn(I*ln(x))*csgn(I*ln(x)/(x-2))*Pi*exp(-x)+2*csgn(I/(x-2))*csgn(I*ln(x)/(x-2))^5*Pi^2+csgn(I*ln(x))^2*csgn(I*ln(x)/(x-2))^4*Pi^2+csgn(I/(x-2))^2*csgn(I*ln(x)/(x-2))^4*Pi^2-4*csgn(I*ln(x))*csgn(I*ln(x)/(x-2))^4*Pi^2+4*I*x^2*csgn(I*ln(x)/(x-2))^3*Pi*exp(-x)-8*I*x^2*csgn(I*ln(x)/(x-2))^2*Pi*exp(-x)-4*ln(5)^2*exp(-2*x)*x^2-4*csgn(I/(x-2))*csgn(I*ln(x)/(x-2))^4*Pi^2+2*csgn(I*ln(x))*csgn(I*ln(x)/(x-2))^5*Pi^2))","C"
7077,1,30,24,0.059000," ","int(((-4*x^2*ln(5)*exp(x)-2*x^2*ln(5))*ln(x)-4*x*exp(x)*ln(5)+(-2*x^2-20*x+2)*ln(5))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 \ln \left(5\right) {\mathrm e}^{x} \ln \left(x \right)-2 x \ln \left(5\right) \ln \left(x \right)-20 \ln \left(5\right) \ln \left(x \right)-\frac{2 \ln \left(5\right)}{x}$&$30$\\ risch&$\left(-2 x \ln \left(5\right)-4 \,{\mathrm e}^{x} \ln \left(5\right)\right) \ln \left(x \right)-\frac{2 \ln \left(5\right) \left(10 x \ln \left(x \right)+1\right)}{x}$&$31$\\ norman&$\frac{-20 x \ln \left(5\right) \ln \left(x \right)-2 x^{2} \ln \left(5\right) \ln \left(x \right)-4 x \ln \left(5\right) {\mathrm e}^{x} \ln \left(x \right)-2 \ln \left(5\right)}{x}$&$35$\\ \hline \end{longtable}"," ",0,"-4*ln(5)*exp(x)*ln(x)-2*x*ln(5)*ln(x)-20*ln(5)*ln(x)-2*ln(5)/x","A"
7078,1,27,30,0.076000," ","int((((-2*x^3-6*x^2+10*x)*exp(x)+6*x^3+4*x^2-12*x-2)*exp((x^2+x-6)*exp(x)-x^3-x^2+6*x)+(-2*x-2)*exp(x)-4*x-8)/(x^2*exp((x^2+x-6)*exp(x)-x^3-x^2+6*x)^2+(2*exp(x)*x^2+2*x^3+8*x^2)*exp((x^2+x-6)*exp(x)-x^3-x^2+6*x)+exp(x)^2*x^2+(2*x^3+8*x^2)*exp(x)+x^4+8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{x \left(x +{\mathrm e}^{x}+{\mathrm e}^{\left(3+x \right) \left(x -2\right) \left({\mathrm e}^{x}-x \right)}+4\right)}$&$27$\\ \hline \end{longtable}"," ",0,"2/x/(x+exp(x)+exp((3+x)*(x-2)*(exp(x)-x))+4)","A"
7079,1,17,15,0.163000," ","int(-3*ln(2)*exp((3*ln(5)-ln(2)-9*x)/(ln(5)-3*x))/(ln(5)^2-6*x*ln(5)+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{3+\frac{\ln \left(2\right)}{-\ln \left(5\right)+3 x}}$&$17$\\ default&${\mathrm e}^{3+\frac{\ln \left(2\right)}{-\ln \left(5\right)+3 x}}$&$17$\\ risch&${\mathrm e}^{-\frac{-3 \ln \left(5\right)+\ln \left(2\right)+9 x}{\ln \left(5\right)-3 x}}$&$22$\\ gosper&${\mathrm e}^{\frac{3 \ln \left(5\right)-\ln \left(2\right)-9 x}{\ln \left(5\right)-3 x}}$&$23$\\ norman&$\frac{\ln \left(5\right) {\mathrm e}^{\frac{3 \ln \left(5\right)-\ln \left(2\right)-9 x}{\ln \left(5\right)-3 x}}-3 x \,{\mathrm e}^{\frac{3 \ln \left(5\right)-\ln \left(2\right)-9 x}{\ln \left(5\right)-3 x}}}{\ln \left(5\right)-3 x}$&$61$\\ \hline \end{longtable}"," ",0,"exp(3+ln(2)/(-ln(5)+3*x))","A"
7080,1,145,17,0.072000," ","int(((-4*exp((x+1)/x)*exp(x)+16*exp((x+1)/x))*ln(exp(x)*x-4*x)+(4*x^2+4*x)*exp((x+1)/x)*exp(x)-16*x*exp((x+1)/x))/(exp(x)*x^2-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{\frac{x +1}{x}} \ln \left({\mathrm e}^{x}-4\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-4\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-4\right)\right) {\mathrm e}^{\frac{x +1}{x}}+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-4\right)\right)^{2} {\mathrm e}^{\frac{x +1}{x}}+2 i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-4\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-4\right)\right)^{2} {\mathrm e}^{\frac{x +1}{x}}-2 i \pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{x}-4\right)\right)^{3} {\mathrm e}^{\frac{x +1}{x}}+4 \,{\mathrm e}^{\frac{x +1}{x}} \ln \left(x \right)$&$145$\\ \hline \end{longtable}"," ",0,"4*exp((x+1)/x)*ln(exp(x)-4)-2*I*Pi*csgn(I*x)*csgn(I*(exp(x)-4))*csgn(I*x*(exp(x)-4))*exp((x+1)/x)+2*I*Pi*csgn(I*x)*csgn(I*x*(exp(x)-4))^2*exp((x+1)/x)+2*I*Pi*csgn(I*(exp(x)-4))*csgn(I*x*(exp(x)-4))^2*exp((x+1)/x)-2*I*Pi*csgn(I*x*(exp(x)-4))^3*exp((x+1)/x)+4*exp((x+1)/x)*ln(x)","C"
7081,1,30,22,0.033000," ","int((((x^2-1)*ln(x-1)+(x-1)*exp(-x+4)+x)*ln(x)+(x-1)*ln(x-1)+(x-1)*exp(-x+4)-5*x^2+5)/(((x^2-x)*ln(x-1)+(x^2-x)*exp(-x+4))*ln(x)-5*x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x \right)+\ln \left(\ln \left(x \right)\right)+\ln \left(\ln \left(x -1\right)+\frac{\ln \left(x \right) {\mathrm e}^{-x +4}-5}{\ln \left(x \right)}\right)$&$30$\\ \hline \end{longtable}"," ",0,"x+ln(x)+ln(ln(x))+ln(ln(x-1)+(ln(x)*exp(-x+4)-5)/ln(x))","A"
7082,1,22,20,0.047000," ","int(((6*x+6)*ln(x)^3+(18*x^2+54*x+36)*ln(x)^2+(18*x^3+90*x^2+744*x+72)*ln(x)+6*x^4+42*x^3+108*x^2+720*x+48)/(ln(x)^3+(6+3*x)*ln(x)^2+(3*x^2+12*x+12)*ln(x)+x^3+6*x^2+12*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x^{2}+6 x +\frac{300 x^{2}}{\left(x +\ln \left(x \right)+2\right)^{2}}$&$22$\\ norman&$\frac{-48 \ln \left(x \right)-24 x -12 \ln \left(x \right)^{2}+324 x^{2}+18 x^{3}+3 x^{4}+6 x \ln \left(x \right)^{2}+24 x^{2} \ln \left(x \right)+3 x^{2} \ln \left(x \right)^{2}+6 x^{3} \ln \left(x \right)-48}{\left(x +\ln \left(x \right)+2\right)^{2}}$&$69$\\ \hline \end{longtable}"," ",0,"3*x^2+6*x+300*x^2/(x+ln(x)+2)^2","A"
7083,1,15,15,0.040000," ","int(1/48*(20*x*ln(x)+5*ln(5)+68*x+288)*exp(1/48*(5*ln(5)+20*x+288)*ln(x)+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{6+\frac{5 x}{12}+\frac{5 \ln \left(5\right)}{48}} {\mathrm e}^{x}$&$15$\\ norman&${\mathrm e}^{\frac{\left(5 \ln \left(5\right)+20 x +288\right) \ln \left(x \right)}{48}+x}$&$17$\\ \hline \end{longtable}"," ",0,"x^(6+5/12*x+5/48*ln(5))*exp(x)","A"
7084,1,31,37,0.043000," ","int(((-7500*x-45000)*ln(5)^2+180000*ln(5)-x^3+30000*x-180000)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{\left(7500 \ln \left(5\right)^{2}-30000\right) x +22500 \ln \left(5\right)^{2}-90000 \ln \left(5\right)+90000}{x^{2}}$&$31$\\ gosper&$\frac{7500 x \ln \left(5\right)^{2}-x^{3}+22500 \ln \left(5\right)^{2}-90000 \ln \left(5\right)-30000 x +90000}{x^{2}}$&$32$\\ default&$-x -\frac{-45000 \ln \left(5\right)^{2}+180000 \ln \left(5\right)-180000}{2 x^{2}}-\frac{-7500 \ln \left(5\right)^{2}+30000}{x}$&$35$\\ \hline \end{longtable}"," ",0,"-x+((7500*ln(5)^2-30000)*x+22500*ln(5)^2-90000*ln(5)+90000)/x^2","A"
7085,1,29,29,0.064000," ","int(((-96*x^9-608*x^8-320*x^7+2048*x^6-1024*x^5)*exp(5)-x-2)/(16*x^4+128*x^3+256*x^2)/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{6}+2 x^{5}-x^{4}+\frac{{\mathrm e}^{-5}}{32 x \left(4+x \right)}$&$29$\\ norman&$\frac{-4 x^{5}+7 x^{6}-2 x^{7}-x^{8}+\frac{{\mathrm e}^{-5}}{32}}{\left(4+x \right) x}$&$37$\\ default&$\frac{{\mathrm e}^{-5} \left(-16 x^{6} {\mathrm e}^{5}+32 x^{5} {\mathrm e}^{5}-16 x^{4} {\mathrm e}^{5}-\frac{1}{8 \left(4+x \right)}+\frac{1}{8 x}\right)}{16}$&$41$\\ gosper&$-\frac{\left(32 x^{8} {\mathrm e}^{5}+64 x^{7} {\mathrm e}^{5}-224 x^{6} {\mathrm e}^{5}+128 x^{5} {\mathrm e}^{5}-1\right) {\mathrm e}^{-5}}{32 x \left(4+x \right)}$&$45$\\ \hline \end{longtable}"," ",0,"-x^6+2*x^5-x^4+1/32*exp(-5)/x/(4+x)","A"
7086,1,23,24,0.042000," ","int(((10*x-20)*exp(5)+4)*exp((-5*x^2+20*x)*exp(5)-4*x-5)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -{\mathrm e}^{\left(-5 x^{2}+20 x \right) {\mathrm e}^{5}-4 x -5}$&$23$\\ risch&$x -{\mathrm e}^{-5 x^{2} {\mathrm e}^{5}+20 x \,{\mathrm e}^{5}-4 x -5}$&$23$\\ default&$x +\frac{2 \sqrt{\pi}\, {\mathrm e}^{-5+\frac{\left(20 \,{\mathrm e}^{5}-4\right)^{2} {\mathrm e}^{-5}}{20}} \sqrt{5}\, {\mathrm e}^{-\frac{5}{2}} \erf \left(\sqrt{5}\, {\mathrm e}^{\frac{5}{2}} x -\frac{\left(20 \,{\mathrm e}^{5}-4\right) \sqrt{5}\, {\mathrm e}^{-\frac{5}{2}}}{10}\right)}{5}-2 \sqrt{\pi}\, {\mathrm e}^{\frac{\left(20 \,{\mathrm e}^{5}-4\right)^{2} {\mathrm e}^{-5}}{20}} \sqrt{5}\, {\mathrm e}^{-\frac{5}{2}} \erf \left(\sqrt{5}\, {\mathrm e}^{\frac{5}{2}} x -\frac{\left(20 \,{\mathrm e}^{5}-4\right) \sqrt{5}\, {\mathrm e}^{-\frac{5}{2}}}{10}\right)-{\mathrm e}^{-5} {\mathrm e}^{-5 x^{2} {\mathrm e}^{5}+\left(20 \,{\mathrm e}^{5}-4\right) x}+\frac{\left(20 \,{\mathrm e}^{5}-4\right) {\mathrm e}^{-5} \sqrt{\pi}\, {\mathrm e}^{\frac{\left(20 \,{\mathrm e}^{5}-4\right)^{2} {\mathrm e}^{-5}}{20}} \sqrt{5}\, {\mathrm e}^{-\frac{5}{2}} \erf \left(\sqrt{5}\, {\mathrm e}^{\frac{5}{2}} x -\frac{\left(20 \,{\mathrm e}^{5}-4\right) \sqrt{5}\, {\mathrm e}^{-\frac{5}{2}}}{10}\right)}{10}$&$191$\\ \hline \end{longtable}"," ",0,"x-exp((-5*x^2+20*x)*exp(5)-4*x-5)","A"
7087,1,26,23,0.035000," ","int((exp(x-2)-2*x+5)/(exp(x-2)-ln(5)^4+2*ln(5)^2-x^2+5*x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(5\right)^{4}-2 \ln \left(5\right)^{2}+x^{2}-{\mathrm e}^{x -2}-5 x -3\right)$&$26$\\ derivativedivides&$\ln \left({\mathrm e}^{x -2}-\ln \left(5\right)^{4}+2 \ln \left(5\right)^{2}-x^{2}+5 x +3\right)$&$28$\\ default&$\ln \left({\mathrm e}^{x -2}-\ln \left(5\right)^{4}+2 \ln \left(5\right)^{2}-x^{2}+5 x +3\right)$&$28$\\ risch&$2+\ln \left({\mathrm e}^{x -2}-\ln \left(5\right)^{4}+2 \ln \left(5\right)^{2}-x^{2}+5 x +3\right)$&$30$\\ \hline \end{longtable}"," ",0,"ln(ln(5)^4-2*ln(5)^2+x^2-exp(x-2)-5*x-3)","A"
7088,1,28,31,0.039000," ","int(((-2*x^4-4*x^3+28*x^2+6*x)*ln((2*x^2+10*x+2)/x)+x^4-6*x^3+6*x^2+6*x-7)/(x^3+5*x^2+x)/ln((2*x^2+10*x+2)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}-6 x +7}{\ln \left(\frac{2 x^{2}+10 x +2}{x}\right)}$&$28$\\ norman&$\frac{-x^{2}+6 x -7}{\ln \left(\frac{2 x^{2}+10 x +2}{x}\right)}$&$29$\\ \hline \end{longtable}"," ",0,"-(x^2-6*x+7)/ln((2*x^2+10*x+2)/x)","A"
7089,1,10,18,0.020000," ","int(1/3*((4*x+4)*exp(x+ln(x))-7*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{7 x}{3}+\frac{4 \,{\mathrm e}^{x} x}{3}$&$10$\\ risch&$-\frac{7 x}{3}+\frac{4 \,{\mathrm e}^{x} x}{3}$&$10$\\ norman&$-\frac{7 x}{3}+\frac{4 \,{\mathrm e}^{x +\ln \left(x \right)}}{3}$&$12$\\ \hline \end{longtable}"," ",0,"-7/3*x+4/3*exp(x)*x","A"
7090,1,20,30,0.030000," ","int(-12/25*exp(2*x)^2+12/25*exp(2*x)-2*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -x^{2}-\frac{3 \,{\mathrm e}^{4 x}}{25}+\frac{6 \,{\mathrm e}^{2 x}}{25}$&$20$\\ derivativedivides&$x -x^{2}-\frac{3 \,{\mathrm e}^{4 x}}{25}+\frac{6 \,{\mathrm e}^{2 x}}{25}$&$22$\\ default&$x -x^{2}-\frac{3 \,{\mathrm e}^{4 x}}{25}+\frac{6 \,{\mathrm e}^{2 x}}{25}$&$22$\\ norman&$x -x^{2}-\frac{3 \,{\mathrm e}^{4 x}}{25}+\frac{6 \,{\mathrm e}^{2 x}}{25}$&$22$\\ \hline \end{longtable}"," ",0,"x-x^2-3/25*exp(4*x)+6/25*exp(2*x)","A"
7091,1,19,21,0.028000," ","int(((-12*x^2-6*x-1)*exp(5)+30*x)/x/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-6 x^{2}-6 x +30 x \,{\mathrm e}^{-5}-\ln \left(x \right)$&$19$\\ norman&$-6 x^{2}-6 \left({\mathrm e}^{5}-5\right) {\mathrm e}^{-5} x -\ln \left(x \right)$&$22$\\ default&${\mathrm e}^{-5} \left(-6 x^{2} {\mathrm e}^{5}-6 x \,{\mathrm e}^{5}+30 x -{\mathrm e}^{5} \ln \left(x \right)\right)$&$28$\\ \hline \end{longtable}"," ",0,"-6*x^2-6*x+30*x*exp(-5)-ln(x)","A"
7092,1,37,19,0.020000," ","int(1/5*(4*x^2*ln(x)^2+(-8*x^4-6*x^3+4*x^2)*ln(x)-2*x^4-2*x^3+50*x^2+25*x-25)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{2 x^{4} \ln \left(x \right)}{5}+\frac{2 x^{2} \ln \left(x \right)^{2}}{5}+5 x^{2}-\frac{2 x^{3} \ln \left(x \right)}{5}+5 x -5 \ln \left(x \right)$&$37$\\ norman&$-\frac{2 x^{4} \ln \left(x \right)}{5}+\frac{2 x^{2} \ln \left(x \right)^{2}}{5}+5 x^{2}-\frac{2 x^{3} \ln \left(x \right)}{5}+5 x -5 \ln \left(x \right)$&$37$\\ risch&$\frac{2 x^{2} \ln \left(x \right)^{2}}{5}+\frac{\left(-2 x^{4}-2 x^{3}\right) \ln \left(x \right)}{5}+5 x^{2}+5 x -5 \ln \left(x \right)$&$38$\\ \hline \end{longtable}"," ",0,"-2/5*x^4*ln(x)+2/5*x^2*ln(x)^2+5*x^2-2/5*x^3*ln(x)+5*x-5*ln(x)","A"
7093,1,38,20,0.056000," ","int(1/5*((-5*x^3-10*x^2)*exp(x)^2+(10*x^4+19*x^3-2*x^2-5*x-5)*exp(x)+20*x-1)*exp(exp(x)*x^2)+1/5*(-5*x^2-10*x)*exp(x)+6*x^2-2/5*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(10 x -5 \,{\mathrm e}^{x}-1\right) x \,{\mathrm e}^{{\mathrm e}^{x} x^{2}}}{5}-{\mathrm e}^{x} x^{2}+2 x^{3}-\frac{x^{2}}{5}$&$38$\\ default&$-\frac{x^{2}}{5}+2 x^{3}+2 x^{2} {\mathrm e}^{{\mathrm e}^{x} x^{2}}-\frac{{\mathrm e}^{{\mathrm e}^{x} x^{2}} x}{5}-{\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{x} x^{2}} x -{\mathrm e}^{x} x^{2}$&$53$\\ norman&$-\frac{x^{2}}{5}+2 x^{3}+2 x^{2} {\mathrm e}^{{\mathrm e}^{x} x^{2}}-\frac{{\mathrm e}^{{\mathrm e}^{x} x^{2}} x}{5}-{\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{x} x^{2}} x -{\mathrm e}^{x} x^{2}$&$53$\\ \hline \end{longtable}"," ",0,"1/5*(10*x-5*exp(x)-1)*x*exp(exp(x)*x^2)-exp(x)*x^2+2*x^3-1/5*x^2","A"
7094,1,50,23,1.010000," ","int((4*x^2*ln(-exp(x))+(-4*exp(x)*x^3+4*x^2)*exp(exp(x))-4*x^3-4*x^2+40*x)/(x^2*ln(-exp(x))^2+(2*exp(exp(x))*x^2-2*x^2+10*x)*ln(-exp(x))+x^2*exp(exp(x))^2+(-2*x^2+10*x)*exp(exp(x))+x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\left(-4 \ln \left(-{\mathrm e}^{x}\right)+4 x +4\right) x -4 x \,{\mathrm e}^{{\mathrm e}^{x}}-20}{x^{2}+x \,{\mathrm e}^{{\mathrm e}^{x}}+x \left(\ln \left(-{\mathrm e}^{x}\right)-x \right)-x +5}$&$50$\\ risch&$\frac{8 i x^{2}}{2 \pi  x \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2}-2 \pi  x \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{3}-2 \pi  x +2 i x \,{\mathrm e}^{{\mathrm e}^{x}}+2 i x \ln \left({\mathrm e}^{x}\right)-2 i x +10 i}$&$58$\\ \hline \end{longtable}"," ",0,"((-4*ln(-exp(x))+4*x+4)*x-4*x*exp(exp(x))-20)/(x^2+x*exp(exp(x))+x*(ln(-exp(x))-x)-x+5)","B"
7095,1,25,20,0.021000," ","int(1/2*((3-2*x)*ln(3)+3*x^2-6*x)/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(x \ln \left(3\right)-x^{2}-3 \ln \left(3\right)+3 x \right) {\mathrm e}^{-5}}{2}$&$25$\\ default&$\frac{{\mathrm e}^{-5} \left(\ln \left(3\right) \left(-x^{2}+3 x \right)+x^{3}-3 x^{2}\right)}{2}$&$28$\\ risch&$-\frac{{\mathrm e}^{-5} x^{2} \ln \left(3\right)}{2}+\frac{x^{3} {\mathrm e}^{-5}}{2}+\frac{3 \,{\mathrm e}^{-5} \ln \left(3\right) x}{2}-\frac{3 x^{2} {\mathrm e}^{-5}}{2}$&$32$\\ norman&$\frac{x^{3} {\mathrm e}^{-5}}{2}-\frac{\left(3+\ln \left(3\right)\right) {\mathrm e}^{-5} x^{2}}{2}+\frac{3 \,{\mathrm e}^{-5} \ln \left(3\right) x}{2}$&$33$\\ \hline \end{longtable}"," ",0,"-1/2*x*(x*ln(3)-x^2-3*ln(3)+3*x)/exp(5)","A"
7096,1,18,17,0.137000," ","int(((-66*x^2+66*x+132)*ln(x^2-x-2)^2-198*x+99)/(x^2-x-2)/ln(x^2-x-2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-66 x +\frac{99}{\ln \left(x^{2}-x -2\right)}$&$18$\\ risch&$-66 x +\frac{99}{\ln \left(x^{2}-x -2\right)}$&$18$\\ norman&$\frac{99-66 \ln \left(x^{2}-x -2\right) x}{\ln \left(x^{2}-x -2\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-66*x+99/ln(x^2-x-2)","A"
7097,1,30,25,0.049000," ","int((((40*x^9+10*x)*exp(x^8)*ln(x)^2-x^2*exp(x^8)*ln(x)+x^2*exp(x^8))*exp(1/5*x/ln(x))+((40*x^10+5*x^2)*exp(2)+40*x^11-40*x^10-5*x^2)*exp(x^8)*ln(x)^2)/(5*ln(x)^2*exp(1/5*x/ln(x))^2+(10*exp(2)*x+10*x^2-10*x)*ln(x)^2*exp(1/5*x/ln(x))+(5*x^2*exp(2)^2+(10*x^3-10*x^2)*exp(2)+5*x^4-10*x^3+5*x^2)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{x^{8}}}{{\mathrm e}^{2} x +x^{2}+{\mathrm e}^{\frac{x}{5 \ln \left(x \right)}}-x}$&$30$\\ \hline \end{longtable}"," ",0,"x^2*exp(x^8)/(exp(2)*x+x^2+exp(1/5*x/ln(x))-x)","A"
7098,1,39,22,0.087000," ","int((-1000*ln(2*x)^2+(-1000*x-2000)*ln(2*x)+(-40*x-80)*ln(x)^3-250*x^2-1000*x-1000)/(4*x*ln(x)^3*ln(2*x)^2+(4*x^2+8*x)*ln(x)^3*ln(2*x)+(x^3+4*x^2+4*x)*ln(x)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{250+250 \ln \left(2\right)+125 x +250 \ln \left(x \right)+40 \ln \left(x \right)^{2}}{\ln \left(x \right)^{2} \left(2+2 \ln \left(2\right)+x +2 \ln \left(x \right)\right)}$&$39$\\ \hline \end{longtable}"," ",0,"5*(50+50*ln(2)+25*x+50*ln(x)+8*ln(x)^2)/ln(x)^2/(2+2*ln(2)+x+2*ln(x))","A"
7099,1,17,16,0.237000," ","int(((x-1)*ln(3)*exp(-x-2)-2*x*ln(3))/(x^2*exp(-x-2)^2+2*x^3*exp(-x-2)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(3\right)}{x \left(x +{\mathrm e}^{-x -2}\right)}$&$17$\\ risch&$\frac{\ln \left(3\right)}{x \left(x +{\mathrm e}^{-x -2}\right)}$&$17$\\ \hline \end{longtable}"," ",0,"ln(3)/x/(x+exp(-x-2))","A"
7100,1,14,15,0.023000," ","int((-72*x+72)*exp(1)^4/(36*x^4-144*x^3+300*x^2-312*x+169),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{4}}{\frac{13}{6}+x^{2}-2 x}$&$14$\\ gosper&$\frac{6 \,{\mathrm e}^{4}}{6 x^{2}-12 x +13}$&$19$\\ default&$\frac{6 \,{\mathrm e}^{4}}{6 x^{2}-12 x +13}$&$19$\\ norman&$\frac{6 \,{\mathrm e}^{4}}{6 x^{2}-12 x +13}$&$19$\\ \hline \end{longtable}"," ",0,"exp(4)/(13/6+x^2-2*x)","A"
7101,1,19,20,0.030000," ","int((24*ln(3)-6*exp(3)^2+6*x^2+42)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{6 \,{\mathrm e}^{6}+6 x^{2}-24 \ln \left(3\right)-42}{x}$&$19$\\ default&$6 x -\frac{6 \left(4 \ln \left(3\right)-{\mathrm e}^{6}+7\right)}{x}$&$20$\\ norman&$\frac{6 \,{\mathrm e}^{6}+6 x^{2}-24 \ln \left(3\right)-42}{x}$&$22$\\ risch&$6 x +\frac{6 \,{\mathrm e}^{6}}{x}-\frac{24 \ln \left(3\right)}{x}-\frac{42}{x}$&$24$\\ \hline \end{longtable}"," ",0,"6*(exp(3)^2+x^2-4*ln(3)-7)/x","A"
7102,1,51,28,0.062000," ","int((((-6*exp(4)+6*x)*exp(x+21)^2+((-5*x-5)*exp(4)+5*x^2+5*x)*exp(x+21))*ln(x-exp(4))+(3*exp(4)+x^2-9*x)*exp(x+21)^2-5*x*exp(x+21))/((((x^2-12*x+36)*exp(4)-x^3+12*x^2-36*x)*exp(x+21)^2+((-10*x+60)*exp(4)+10*x^2-60*x)*exp(x+21)+25*exp(4)-25*x)*ln(x-exp(4))^2+(((6*x-36)*exp(4)-6*x^2+36*x)*exp(x+21)^2+(-30*exp(4)+30*x)*exp(x+21))*ln(x-exp(4))+(9*exp(4)-9*x)*exp(x+21)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x +21} x}{{\mathrm e}^{x +21} \ln \left(x -{\mathrm e}^{4}\right) x -6 \,{\mathrm e}^{x +21} \ln \left(x -{\mathrm e}^{4}\right)+3 \,{\mathrm e}^{x +21}-5 \ln \left(x -{\mathrm e}^{4}\right)}$&$51$\\ \hline \end{longtable}"," ",0,"exp(x+21)*x/(exp(x+21)*ln(x-exp(4))*x-6*exp(x+21)*ln(x-exp(4))+3*exp(x+21)-5*ln(x-exp(4)))","A"
7103,1,28,26,0.032000," ","int((((-15*x^2+3)*exp(x)+5*x^3-15*x^2-3*x+3)*exp(ln(2*x)-x)-2*exp(x)*x+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-10 x^{3}+7 x -2 \,{\mathrm e}^{x}+\left(-10 x^{3}+6 x \right) {\mathrm e}^{-x}$&$28$\\ default&$7 x -10 x^{3}-2 \,{\mathrm e}^{x}+6 x \,{\mathrm e}^{-x}-10 x^{3} {\mathrm e}^{-x}$&$30$\\ norman&$\left(6 x -10 x^{3}-2 \,{\mathrm e}^{2 x}+7 \,{\mathrm e}^{x} x -10 \,{\mathrm e}^{x} x^{3}\right) {\mathrm e}^{-x}$&$33$\\ \hline \end{longtable}"," ",0,"-10*x^3+7*x-2*exp(x)+(-10*x^3+6*x)*exp(-x)","A"
7104,1,32,25,0.148000," ","int(((-40*x^2+240*x-360)*exp(((x-3)*ln(6/5*x)+5)/(x-3))^2+9*x^2)/(40*x^2-240*x+360)/exp(((x-3)*ln(6/5*x)+5)/(x-3))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{9 x^{2} {\mathrm e}^{-\frac{2 \left(\ln \left(\frac{6 x}{5}\right) x -3 \ln \left(\frac{6 x}{5}\right)+5\right)}{x -3}}}{400}$&$32$\\ default&$-x +\frac{\left(-\frac{27}{10} x^{2}+\frac{9}{10} x^{3}\right) {\mathrm e}^{-\frac{2 \left(\left(x -3\right) \ln \left(\frac{6 x}{5}\right)+5\right)}{x -3}}}{40 x -120}$&$42$\\ \hline \end{longtable}"," ",0,"-x+9/400*x^2*exp(-2*(ln(6/5*x)*x-3*ln(6/5*x)+5)/(x-3))","A"
7105,1,46,22,0.023000," ","int(80*x^4*ln(5)^2+1/5*(200*x^4-640*x^3+600*x^2)*ln(5)+5*x^4-32*x^3+78*x^2-80*x+109/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-32 \ln \left(5\right)-8\right) x^{4}+\left(40 \ln \left(5\right)+26\right) x^{3}+\left(16 \ln \left(5\right)^{2}+8 \ln \left(5\right)+1\right) x^{5}+\frac{109 x}{5}-40 x^{2}$&$46$\\ default&$16 x^{5} \ln \left(5\right)^{2}+\frac{\ln \left(5\right) \left(40 x^{5}-160 x^{4}+200 x^{3}\right)}{5}+x^{5}-8 x^{4}+26 x^{3}-40 x^{2}+\frac{109 x}{5}$&$52$\\ risch&$16 x^{5} \ln \left(5\right)^{2}+8 x^{5} \ln \left(5\right)-32 x^{4} \ln \left(5\right)+40 x^{3} \ln \left(5\right)+x^{5}-8 x^{4}+26 x^{3}-40 x^{2}+\frac{109 x}{5}$&$53$\\ gosper&$\frac{x \left(80 x^{4} \ln \left(5\right)^{2}+40 x^{4} \ln \left(5\right)-160 x^{3} \ln \left(5\right)+5 x^{4}+200 x^{2} \ln \left(5\right)-40 x^{3}+130 x^{2}-200 x +109\right)}{5}$&$54$\\ \hline \end{longtable}"," ",0,"(-32*ln(5)-8)*x^4+(40*ln(5)+26)*x^3+(16*ln(5)^2+8*ln(5)+1)*x^5+109/5*x-40*x^2","B"
7106,1,48,24,0.247000," ","int(((10*x^2-80*x-40)*exp(20)*exp((x^2+4)*exp(20)/(5*x-20))^2+((-4*x^3+22*x^2+96*x+40)*exp(20)-20*x^2+160*x-320)*exp((x^2+4)*exp(20)/(5*x-20))+8*x^3-44*x^2-32*x+320)/(x^2-8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2}+25 \,{\mathrm e}^{\frac{2 \left(x^{2}+4\right) {\mathrm e}^{20}}{5 \left(x -4\right)}}+20 x +\left(-50-20 x \right) {\mathrm e}^{\frac{\left(x^{2}+4\right) {\mathrm e}^{20}}{5 x -20}}$&$48$\\ norman&$\frac{4 x^{2}+4 x^{3}-100 \,{\mathrm e}^{\frac{2 \left(x^{2}+4\right) {\mathrm e}^{20}}{5 x -20}}+30 x \,{\mathrm e}^{\frac{\left(x^{2}+4\right) {\mathrm e}^{20}}{5 x -20}}+25 x \,{\mathrm e}^{\frac{2 \left(x^{2}+4\right) {\mathrm e}^{20}}{5 x -20}}-20 x^{2} {\mathrm e}^{\frac{\left(x^{2}+4\right) {\mathrm e}^{20}}{5 x -20}}+200 \,{\mathrm e}^{\frac{\left(x^{2}+4\right) {\mathrm e}^{20}}{5 x -20}}-320}{x -4}$&$118$\\ \hline \end{longtable}"," ",0,"4*x^2+25*exp(2/5*(x^2+4)/(x-4)*exp(20))+20*x+(-50-20*x)*exp(1/5*(x^2+4)/(x-4)*exp(20))","A"
7107,1,12,14,0.016000," ","int((-exp(3)^2-32*x)/exp(3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -16 x^{2} {\mathrm e}^{-6}$&$12$\\ gosper&$-x \left({\mathrm e}^{6}+16 x \right) {\mathrm e}^{-6}$&$16$\\ default&${\mathrm e}^{-6} \left(-x \,{\mathrm e}^{6}-16 x^{2}\right)$&$19$\\ norman&$\left(-x \,{\mathrm e}^{3}-16 x^{2} {\mathrm e}^{-3}\right) {\mathrm e}^{-3}$&$21$\\ \hline \end{longtable}"," ",0,"-x-16*x^2*exp(-6)","A"
7108,1,50,23,0.050000," ","int(((8*x^2+20*x)*ln(x)^2+(16*x^2+50*x+50)*ln(x)+6*x^2+10*x)/x/exp(2*exp(3*exp(9)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-4 \,{\mathrm e}^{3 \,{\mathrm e}^{9}}} \left(4 x^{2} \ln \left(x \right)^{2}+4 x^{2} \ln \left(x \right)+x^{2}+20 x \ln \left(x \right)^{2}+10 x \ln \left(x \right)+25 \ln \left(x \right)^{2}\right)$&$50$\\ risch&${\mathrm e}^{-4 \,{\mathrm e}^{3 \,{\mathrm e}^{9}}} \left(4 x^{2}+20 x +25\right) \ln \left(x \right)^{2}+{\mathrm e}^{-4 \,{\mathrm e}^{3 \,{\mathrm e}^{9}}} \left(4 x^{2}+10 x \right) \ln \left(x \right)+{\mathrm e}^{-4 \,{\mathrm e}^{3 \,{\mathrm e}^{9}}} x^{2}$&$57$\\ norman&$\left({\mathrm e}^{-2 \,{\mathrm e}^{3 \,{\mathrm e}^{9}}} x^{2}+25 \,{\mathrm e}^{-2 \,{\mathrm e}^{3 \,{\mathrm e}^{9}}} \ln \left(x \right)^{2}+10 \,{\mathrm e}^{-2 \,{\mathrm e}^{3 \,{\mathrm e}^{9}}} x \ln \left(x \right)+20 \,{\mathrm e}^{-2 \,{\mathrm e}^{3 \,{\mathrm e}^{9}}} x \ln \left(x \right)^{2}+4 \,{\mathrm e}^{-2 \,{\mathrm e}^{3 \,{\mathrm e}^{9}}} x^{2} \ln \left(x \right)+4 \,{\mathrm e}^{-2 \,{\mathrm e}^{3 \,{\mathrm e}^{9}}} x^{2} \ln \left(x \right)^{2}\right) {\mathrm e}^{-2 \,{\mathrm e}^{3 \,{\mathrm e}^{9}}}$&$99$\\ \hline \end{longtable}"," ",0,"1/exp(2*exp(3*exp(9)))^2*(4*x^2*ln(x)^2+4*x^2*ln(x)+x^2+20*x*ln(x)^2+10*x*ln(x)+25*ln(x)^2)","B"
7109,1,37,30,0.164000," ","int(((5*x^3-25*x^2+10*x-20)*exp((-x-4)/(x-2))+2*(-x^2+4*x-4)*ln(2)+x^4-6*x^3+17*x^2-28*x+20)/(x^2-4*x+4)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x^{2}+2 \ln \left(2\right)-5\right) {\mathrm e}^{-x}-5 x \,{\mathrm e}^{-\frac{x^{2}-x +4}{x -2}}$&$37$\\ norman&$\frac{\left(\left(2 \ln \left(2\right)-5\right) x +2 x^{2}-x^{3}+10 x \,{\mathrm e}^{\frac{-x -4}{x -2}}-5 x^{2} {\mathrm e}^{\frac{-x -4}{x -2}}+10-4 \ln \left(2\right)\right) {\mathrm e}^{-x}}{x -2}$&$67$\\ \hline \end{longtable}"," ",0,"(-x^2+2*ln(2)-5)*exp(-x)-5*x*exp(-(x^2-x+4)/(x-2))","A"
7110,1,23,24,0.033000," ","int((6*ln(x)-15*x^3*exp(-2*exp(1)+5*x)+3*x^2-3)/x^2/exp(exp(-2*exp(1)+5*x))/exp(ln(x)/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x \,x^{-\frac{1}{x^{2}}} {\mathrm e}^{-{\mathrm e}^{-2 \,{\mathrm e}+5 x}}$&$23$\\ \hline \end{longtable}"," ",0,"3*x/(x^(1/x^2))*exp(-exp(-2*exp(1)+5*x))","A"
7111,1,30,21,0.177000," ","int(((2*x^2-4*x+2)*exp(5)*exp(x)^2+(x^2-2*x+2)*exp(5))/((x^2-2*x+1)*exp(x)^4+(2*x^3+10*x^2-28*x+16)*exp(x)^2+x^4+12*x^3+20*x^2-96*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{5} \left(x -1\right)}{x \,{\mathrm e}^{2 x}-{\mathrm e}^{2 x}+x^{2}+6 x -8}$&$30$\\ norman&$\frac{-x \,{\mathrm e}^{5}+{\mathrm e}^{5}}{x \,{\mathrm e}^{2 x}-{\mathrm e}^{2 x}+x^{2}+6 x -8}$&$32$\\ \hline \end{longtable}"," ",0,"-exp(5)*(x-1)/(x*exp(2*x)-exp(2*x)+x^2+6*x-8)","A"
7112,1,25,20,0.022000," ","int(((4096000000*x^4+2048000000*x^2)*ln(x)-5120000*x^7-10240000*x^5-2048000000*x^4-3840000*x^3-2048000000*x^2-512000000)/(64000000*x*ln(x)^3+480000*x^4*ln(x)^2+1200*x^7*ln(x)+x^10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2560000 x^{4}+2560000 x^{2}+640000}{\left(x^{3}+400 \ln \left(x \right)\right)^{2}}$&$25$\\ \hline \end{longtable}"," ",0,"640000*(4*x^4+4*x^2+1)/(x^3+400*ln(x))^2","A"
7113,1,17,20,0.037000," ","int(1/5*((10*x^3+40*x^2+5*x)*exp(2)-36)/x^2/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+8 x +\ln \left(x \right)+\frac{36 \,{\mathrm e}^{-2}}{5 x}$&$17$\\ norman&$\frac{x^{3}+8 x^{2}+\frac{36 \,{\mathrm e}^{-2}}{5}}{x}+\ln \left(x \right)$&$23$\\ default&$\frac{{\mathrm e}^{-2} \left(5 x^{2} {\mathrm e}^{2}+40 \,{\mathrm e}^{2} x +5 \,{\mathrm e}^{2} \ln \left(x \right)+\frac{36}{x}\right)}{5}$&$31$\\ \hline \end{longtable}"," ",0,"x^2+8*x+ln(x)+36/5/x*exp(-2)","A"
7114,1,259,27,0.116000," ","int(((7*exp(x)^6+(35*x^2-35*x)*exp(x)^5+(70*x^4-140*x^3+70*x^2)*exp(x)^4+(70*x^6-210*x^5+210*x^4-70*x^3)*exp(x)^3+(35*x^8-140*x^7+210*x^6-140*x^5+35*x^4)*exp(x)^2+(7*x^10-35*x^9+70*x^8-70*x^7+35*x^6-7*x^5)*exp(x))*exp(3*x)^2+((-8*x-2)*exp(x)^6+(-40*x^3+30*x^2+10*x)*exp(x)^5+(-80*x^5+140*x^4-40*x^3-20*x^2-8*x-4)*exp(x)^4+(-80*x^7+220*x^6-180*x^5+20*x^4-12*x^3+36*x^2+4*x)*exp(x)^3+(-40*x^9+150*x^8-200*x^7+100*x^6-40*x^5+90*x^4-64*x^3+4*x^2)*exp(x)^2+(-8*x^11+38*x^10-70*x^9+60*x^8-36*x^7+58*x^6-74*x^5+36*x^4-4*x^3)*exp(x))*exp(3*x)+(x^2+2*x)*exp(x)^6+(5*x^4+5*x^3-10*x^2)*exp(x)^5+(10*x^6-30*x^4+20*x^3-4*x^2+8*x)*exp(x)^4+(10*x^8-10*x^7-30*x^6+50*x^5-24*x^4+12*x^3-16*x^2)*exp(x)^3+(5*x^10-10*x^9-10*x^8+40*x^7-31*x^6-6*x^5+4*x^4+8*x^3-12*x^2+8*x)*exp(x)^2+(x^12-3*x^11+10*x^9-11*x^8-11*x^7+26*x^6-12*x^5+4*x^4-28*x^3+8*x^2)*exp(x))/(exp(x)^5+(5*x^2-5*x)*exp(x)^4+(10*x^4-20*x^3+10*x^2)*exp(x)^3+(10*x^6-30*x^5+30*x^4-10*x^3)*exp(x)^2+(5*x^8-20*x^7+30*x^6-20*x^5+5*x^4)*exp(x)+x^10-5*x^9+10*x^8-10*x^7+5*x^6-x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{7 x}-12 x^{5}-2 x \,{\mathrm e}^{4 x}+24 x^{4}-12 x^{3}-4 x \,{\mathrm e}^{2 x}+\left(8 x^{3}-7 x^{2}\right) {\mathrm e}^{x}+\frac{4 \left(-50 x^{8} {\mathrm e}^{x}+12 x^{3} {\mathrm e}^{3 x}+100 x^{7} {\mathrm e}^{x}+10 x^{9} {\mathrm e}^{x}+50 x^{5} {\mathrm e}^{x}+3 x^{11}+{\mathrm e}^{3 x}+45 x^{7}-60 x^{8}-18 x^{10}+45 x^{9}-18 x^{6}+3 x^{5}+{\mathrm e}^{x}-4 x^{2} {\mathrm e}^{3 x}+11 \,{\mathrm e}^{2 x} x^{3}+66 x^{5} {\mathrm e}^{2 x}+2 \,{\mathrm e}^{2 x} x^{2}-2 x \,{\mathrm e}^{2 x}-100 x^{6} {\mathrm e}^{x}-9 \,{\mathrm e}^{x} x^{4}+{\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x^{3}-44 x^{6} {\mathrm e}^{2 x}-44 \,{\mathrm e}^{2 x} x^{4}+11 \,{\mathrm e}^{2 x} x^{7}+4 \,{\mathrm e}^{3 x} x^{5}-12 \,{\mathrm e}^{3 x} x^{4}\right) x^{2}}{\left(x^{2}+{\mathrm e}^{x}-x \right)^{4}}$&$259$\\ \hline \end{longtable}"," ",0,"exp(7*x)-12*x^5-2*x*exp(4*x)+24*x^4-12*x^3-4*x*exp(2*x)+(8*x^3-7*x^2)*exp(x)+4*(-50*x^8*exp(x)+12*x^3*exp(3*x)+100*x^7*exp(x)+10*x^9*exp(x)+50*x^5*exp(x)+3*x^11+exp(3*x)+45*x^7-60*x^8-18*x^10+45*x^9-18*x^6+3*x^5+exp(x)-4*x^2*exp(3*x)+11*exp(2*x)*x^3+66*x^5*exp(2*x)+2*exp(2*x)*x^2-2*x*exp(2*x)-100*x^6*exp(x)-9*exp(x)*x^4+exp(x)*x^2-2*exp(x)*x^3-44*x^6*exp(2*x)-44*exp(2*x)*x^4+11*exp(2*x)*x^7+4*exp(3*x)*x^5-12*exp(3*x)*x^4)*x^2/(x^2+exp(x)-x)^4","B"
7115,1,17,17,0.115000," ","int((20*x^2+4*x-4)/(5*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x -4 \ln \left(x \right)+4 \ln \left(1+5 x \right)$&$17$\\ norman&$4 x -4 \ln \left(x \right)+4 \ln \left(1+5 x \right)$&$17$\\ risch&$4 x -4 \ln \left(x \right)+4 \ln \left(1+5 x \right)$&$17$\\ meijerg&$4 x -4 \ln \left(5\right)-4 \ln \left(x \right)+4 \ln \left(1+5 x \right)$&$21$\\ \hline \end{longtable}"," ",0,"4*x-4*ln(x)+4*ln(1+5*x)","A"
7116,1,219,29,1.291000," ","int(((-x*ln(6)+x^3)*ln(3*ln(6)^2-6*x^2*ln(6)+3*x^4)^2+((x-2)*ln(6)-x^3+2*x^2)*exp(2/x)*ln(3*ln(6)^2-6*x^2*ln(6)+3*x^4)+4*x^3*exp(2/x))*exp((-x*ln(3*ln(6)^2-6*x^2*ln(6)+3*x^4)+x*exp(2/x))/ln(3*ln(6)^2-6*x^2*ln(6)+3*x^4))/(x*ln(6)-x^3)/ln(3*ln(6)^2-6*x^2*ln(6)+3*x^4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x \left(-i \pi  \mathrm{csgn}\left(i \left(-x^{2}+\ln \left(6\right)\right)^{2}\right)^{3}+2 i \pi  \mathrm{csgn}\left(i \left(-x^{2}+\ln \left(6\right)\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(-x^{2}+\ln \left(6\right)\right)\right)-i \pi  \,\mathrm{csgn}\left(i \left(-x^{2}+\ln \left(6\right)\right)^{2}\right) \mathrm{csgn}\left(i \left(-x^{2}+\ln \left(6\right)\right)\right)^{2}+2 \ln \left(3\right)-2 \,{\mathrm e}^{\frac{2}{x}}+4 \ln \left(-x^{2}+\ln \left(2\right)+\ln \left(3\right)\right)\right)}{-i \pi  \mathrm{csgn}\left(i \left(-x^{2}+\ln \left(6\right)\right)^{2}\right)^{3}+2 i \pi  \mathrm{csgn}\left(i \left(-x^{2}+\ln \left(6\right)\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(-x^{2}+\ln \left(6\right)\right)\right)-i \pi  \,\mathrm{csgn}\left(i \left(-x^{2}+\ln \left(6\right)\right)^{2}\right) \mathrm{csgn}\left(i \left(-x^{2}+\ln \left(6\right)\right)\right)^{2}+2 \ln \left(3\right)+4 \ln \left(-x^{2}+\ln \left(2\right)+\ln \left(3\right)\right)}}$&$219$\\ \hline \end{longtable}"," ",0,"exp(-x*(-I*Pi*csgn(I*(-x^2+ln(6))^2)^3+2*I*Pi*csgn(I*(-x^2+ln(6))^2)^2*csgn(I*(-x^2+ln(6)))-I*Pi*csgn(I*(-x^2+ln(6))^2)*csgn(I*(-x^2+ln(6)))^2+2*ln(3)-2*exp(2/x)+4*ln(-x^2+ln(2)+ln(3)))/(-I*Pi*csgn(I*(-x^2+ln(6))^2)^3+2*I*Pi*csgn(I*(-x^2+ln(6))^2)^2*csgn(I*(-x^2+ln(6)))-I*Pi*csgn(I*(-x^2+ln(6))^2)*csgn(I*(-x^2+ln(6)))^2+2*ln(3)+4*ln(-x^2+ln(2)+ln(3))))","C"
7117,1,24,21,0.148000," ","int((((2*exp(2)+x-5)*exp(x)+(8*x^3-12*x^2+4*x)*exp(2)+4*x^4-26*x^3+32*x^2-10*x)*ln(exp(2)+1/2*x-5/2)+exp(x)+x^4-2*x^3+x^2)/(2*exp(2)+x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{4}-2 x^{3}+x^{2}+{\mathrm e}^{x}\right) \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right)$&$24$\\ norman&${\mathrm e}^{x} \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right)+\ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right) x^{2}+\ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right) x^{4}-2 \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right) x^{3}$&$50$\\ default&$\frac{100 \,{\mathrm e}^{8}}{3}-304 \,{\mathrm e}^{6}+1036 \,{\mathrm e}^{4}-\frac{4690 \,{\mathrm e}^{2}}{3}+720 \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right) \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right)+144 \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right)^{3} \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right)+16 \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right)^{4} \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right)+484 \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right) \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right)^{2}+720 \,{\mathrm e}^{2} \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right)+{\mathrm e}^{x} \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right)+160 \,{\mathrm e}^{6} \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right)-488 \,{\mathrm e}^{4} \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right)-64 \,{\mathrm e}^{6} \ln \left(2 \,{\mathrm e}^{2}+x -5\right)-32 \,{\mathrm e}^{8} \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right)+16 \left({\mathrm e}^{4}\right)^{2} \ln \left(2 \,{\mathrm e}^{2}+x -5\right)-32 \,{\mathrm e}^{6} \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right) x -24 \,{\mathrm e}^{4} \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right) x^{2}+24 \,{\mathrm e}^{4} \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right) x -720 \ln \left(2 \,{\mathrm e}^{2}+x -5\right) {\mathrm e}^{2}+484 \,{\mathrm e}^{4} \ln \left(2 \,{\mathrm e}^{2}+x -5\right)-80 \,{\mathrm e}^{2} {\mathrm e}^{4} \ln \left(2 \,{\mathrm e}^{2}+x -5\right)+\frac{3525}{4}-8 \,{\mathrm e}^{2} \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right) x^{3}+12 \,{\mathrm e}^{2} \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right) x^{2}-4 \,{\mathrm e}^{2} \ln \left({\mathrm e}^{2}+\frac{x}{2}-\frac{5}{2}\right) x +400 \ln \left(2 \,{\mathrm e}^{2}+x -5\right)$&$346$\\ \hline \end{longtable}"," ",0,"(x^4-2*x^3+x^2+exp(x))*ln(exp(2)+1/2*x-5/2)","A"
7118,1,25,23,0.164000," ","int((((-ln(3)+x-5)*exp(x)+(-4*x^3-1)*ln(3)+4*x^4-20*x^3+x-6)*exp(exp(x)+x^4+x)+4+ln(3))/(exp(exp(x)+x^4+x)^2+(-2*x+2)*exp(exp(x)+x^4+x)+x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(3\right)-x +5}{x -{\mathrm e}^{{\mathrm e}^{x}+x^{4}+x}-1}$&$25$\\ norman&$\frac{{\mathrm e}^{{\mathrm e}^{x}+x^{4}+x}-4-\ln \left(3\right)}{x -{\mathrm e}^{{\mathrm e}^{x}+x^{4}+x}-1}$&$31$\\ \hline \end{longtable}"," ",0,"-(ln(3)-x+5)/(x-exp(exp(x)+x^4+x)-1)","A"
7119,1,72,33,0.205000," ","int((-52*x^4+390*x^3-1250*x^2+2000*x-1250)*exp(1)/((16*x^6-176*x^5+760*x^4-1600*x^3+1625*x^2-625*x)*ln((x^2-2*x+1)/x^2)^2+(-104*x^6+1104*x^5-4650*x^4+9650*x^3-9750*x^2+3750*x)*ln((x^2-2*x+1)/x^2)+169*x^6-1729*x^5+7110*x^4-14550*x^3+14625*x^2-5625*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e} \left(2 x -5\right)^{2}}{4 \ln \left(\frac{x^{2}-2 x +1}{x^{2}}\right) x^{2}-20 \ln \left(\frac{x^{2}-2 x +1}{x^{2}}\right) x -13 x^{2}+25 \ln \left(\frac{x^{2}-2 x +1}{x^{2}}\right)+60 x -75}$&$72$\\ norman&$\frac{-20 x \,{\mathrm e}+4 x^{2} {\mathrm e}+25 \,{\mathrm e}}{4 \ln \left(\frac{x^{2}-2 x +1}{x^{2}}\right) x^{2}-20 \ln \left(\frac{x^{2}-2 x +1}{x^{2}}\right) x -13 x^{2}+25 \ln \left(\frac{x^{2}-2 x +1}{x^{2}}\right)+60 x -75}$&$80$\\ \hline \end{longtable}"," ",0,"exp(1)*(2*x-5)^2/(4*ln((x^2-2*x+1)/x^2)*x^2-20*ln((x^2-2*x+1)/x^2)*x-13*x^2+25*ln((x^2-2*x+1)/x^2)+60*x-75)","B"
7120,0,0,19,0.013000," ","int(((4*x^4-40*x^3+100*x^2-2*x+10)*ln((2*x^3-10*x^2-1)/(x^3-5*x^2))+6*x-20)*ln(3*x*ln((2*x^3-10*x^2-1)/(x^3-5*x^2)))/(2*x^5-20*x^4+50*x^3-x^2+5*x)/ln((2*x^3-10*x^2-1)/(x^3-5*x^2)),x)","\[\int \frac{\left(\left(4 x^{4}-40 x^{3}+100 x^{2}-2 x +10\right) \ln \left(\frac{2 x^{3}-10 x^{2}-1}{x^{3}-5 x^{2}}\right)+6 x -20\right) \ln \left(3 x \ln \left(\frac{2 x^{3}-10 x^{2}-1}{x^{3}-5 x^{2}}\right)\right)}{\left(2 x^{5}-20 x^{4}+50 x^{3}-x^{2}+5 x \right) \ln \left(\frac{2 x^{3}-10 x^{2}-1}{x^{3}-5 x^{2}}\right)}\, dx\]"," ",0,"int(((4*x^4-40*x^3+100*x^2-2*x+10)*ln((2*x^3-10*x^2-1)/(x^3-5*x^2))+6*x-20)*ln(3*x*ln((2*x^3-10*x^2-1)/(x^3-5*x^2)))/(2*x^5-20*x^4+50*x^3-x^2+5*x)/ln((2*x^3-10*x^2-1)/(x^3-5*x^2)),x)","F"
7121,1,41,20,0.084000," ","int(((-x*ln(x)+x^3+6*x)*ln(3*x)-x*ln(x)-x^3+2*x^2+5*x+1)/(12*x^3*ln(3*x)^2+24*x^2*ln(3*x)+12*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{12 x}+\frac{-2+2 x^{3}-2 x \ln \left(3\right)-10 x}{12 x \left(2+2 x \ln \left(3\right)+2 x \ln \left(x \right)\right)}$&$41$\\ \hline \end{longtable}"," ",0,"1/12/x+1/12*(-2+2*x^3-2*x*ln(3)-10*x)/x/(2+2*x*ln(3)+2*x*ln(x))","A"
7122,1,20,25,0.050000," ","int(((6*x-12)*exp(1/2*x)-24*x)*exp(1/2*(exp(1/2*x)+10*x)/x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{24 \,{\mathrm e}^{\frac{{\mathrm e}^{\frac{x}{2}}+10 x}{2 x}}}{x}$&$20$\\ risch&$\frac{24 \,{\mathrm e}^{\frac{{\mathrm e}^{\frac{x}{2}}+10 x}{2 x}}}{x}$&$20$\\ \hline \end{longtable}"," ",0,"24/x*exp(1/2*(exp(1/2*x)+10*x)/x)","A"
7123,1,22,16,0.030000," ","int((-50*ln(x)+171)*exp(25*ln(x)^2-170*ln(x)+289)/(x*exp(25*ln(x)^2-170*ln(x)+289)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)-\ln \left({\mathrm e}^{25 \ln \left(x \right)^{2}-170 \ln \left(x \right)+289}+x \right)$&$22$\\ risch&$\ln \left(x \right)+289-\ln \left(\frac{{\mathrm e}^{25 \ln \left(x \right)^{2}+289}}{x^{170}}+x \right)$&$23$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(exp(25*ln(x)^2-170*ln(x)+289)+x)","A"
7124,1,20,19,0.186000," ","int(((25*x^2*exp(3)-75*x^2+125*x)*ln(2)+100)*exp(5/4*x*ln(2))/(32*x^2*exp(3)^2+(-192*x^2+320*x)*exp(3)+288*x^2-960*x+800),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x 2^{\frac{5 x}{4}}}{8 \left(x \,{\mathrm e}^{3}-3 x +5\right)}$&$20$\\ gosper&$\frac{5 x \,{\mathrm e}^{\frac{5 x \ln \left(2\right)}{4}}}{8 \left(x \,{\mathrm e}^{3}-3 x +5\right)}$&$21$\\ norman&$\frac{5 x \,{\mathrm e}^{\frac{5 x \ln \left(2\right)}{4}}}{8 \left(x \,{\mathrm e}^{3}-3 x +5\right)}$&$21$\\ derivativedivides&$\frac{-\frac{125 \,{\mathrm e}^{\frac{5 x \ln \left(2\right)}{4}} \ln \left(2\right)^{2}}{8 \left({\mathrm e}^{3}-3\right) \left(5 \,{\mathrm e}^{3} \ln \left(2\right) x +25 \ln \left(2\right)-15 x \ln \left(2\right)\right)}-\frac{125 \ln \left(2\right)^{2} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right)}{32 \left({\mathrm e}^{3}-3\right)^{2}}+\frac{3125 \,{\mathrm e}^{\frac{5 x \ln \left(2\right)}{4}} \ln \left(2\right)^{3}}{32 \left({\mathrm e}^{6}-6 \,{\mathrm e}^{3}+9\right) \left(5 \,{\mathrm e}^{3} \ln \left(2\right) x +25 \ln \left(2\right)-15 x \ln \left(2\right)\right)}+\frac{125 \ln \left(2\right)^{2} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right) {\mathrm e}^{3}}{32 \left(-{\mathrm e}^{6}+6 \,{\mathrm e}^{3}-9\right) \left({\mathrm e}^{3}-3\right)}-\frac{3125 \ln \left(2\right)^{3} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right)}{128 \left(-{\mathrm e}^{6}+6 \,{\mathrm e}^{3}-9\right) \left({\mathrm e}^{3}-3\right)}-\frac{375 \ln \left(2\right)^{2} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right)}{32 \left(-{\mathrm e}^{6}+6 \,{\mathrm e}^{3}-9\right) \left({\mathrm e}^{3}-3\right)}-\frac{30 \ln \left(2\right) {\mathrm e}^{\frac{5 x \ln \left(2\right)}{4}}}{16 \,{\mathrm e}^{6}-96 \,{\mathrm e}^{3}+144}+\frac{9375 \ln \left(2\right)^{3} {\mathrm e}^{\frac{5 x \ln \left(2\right)}{4}}}{32 \left({\mathrm e}^{3}-3\right) \left({\mathrm e}^{6}-6 \,{\mathrm e}^{3}+9\right) \left(5 \,{\mathrm e}^{3} \ln \left(2\right) x +25 \ln \left(2\right)-15 x \ln \left(2\right)\right)}-\frac{750 \ln \left(2\right)^{2} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right) {\mathrm e}^{3}}{\left({\mathrm e}^{3}-3\right)^{2} \left(16 \,{\mathrm e}^{6}-96 \,{\mathrm e}^{3}+144\right)}+\frac{1125 \ln \left(2\right)^{2} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right)}{\left({\mathrm e}^{3}-3\right)^{2} \left(16 \,{\mathrm e}^{6}-96 \,{\mathrm e}^{3}+144\right)}+\frac{9375 \ln \left(2\right)^{3} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right)}{8 \left({\mathrm e}^{3}-3\right)^{2} \left(16 \,{\mathrm e}^{6}-96 \,{\mathrm e}^{3}+144\right)}+\frac{20 \,{\mathrm e}^{3} \ln \left(2\right) {\mathrm e}^{\frac{5 x \ln \left(2\right)}{4}}}{32 \,{\mathrm e}^{6}-192 \,{\mathrm e}^{3}+288}-\frac{3125 \,{\mathrm e}^{3} \ln \left(2\right)^{3} {\mathrm e}^{\frac{5 x \ln \left(2\right)}{4}}}{32 \left({\mathrm e}^{3}-3\right) \left({\mathrm e}^{6}-6 \,{\mathrm e}^{3}+9\right) \left(5 \,{\mathrm e}^{3} \ln \left(2\right) x +25 \ln \left(2\right)-15 x \ln \left(2\right)\right)}+\frac{125 \,{\mathrm e}^{6} \ln \left(2\right)^{2} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right)}{\left({\mathrm e}^{3}-3\right)^{2} \left(16 \,{\mathrm e}^{6}-96 \,{\mathrm e}^{3}+144\right)}-\frac{3125 \ln \left(2\right)^{3} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right) {\mathrm e}^{3}}{8 \left({\mathrm e}^{3}-3\right)^{2} \left(16 \,{\mathrm e}^{6}-96 \,{\mathrm e}^{3}+144\right)}}{\ln \left(2\right)}$&$723$\\ default&$\frac{-\frac{125 \,{\mathrm e}^{\frac{5 x \ln \left(2\right)}{4}} \ln \left(2\right)^{2}}{8 \left({\mathrm e}^{3}-3\right) \left(5 \,{\mathrm e}^{3} \ln \left(2\right) x +25 \ln \left(2\right)-15 x \ln \left(2\right)\right)}-\frac{125 \ln \left(2\right)^{2} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right)}{32 \left({\mathrm e}^{3}-3\right)^{2}}+\frac{3125 \,{\mathrm e}^{\frac{5 x \ln \left(2\right)}{4}} \ln \left(2\right)^{3}}{32 \left({\mathrm e}^{6}-6 \,{\mathrm e}^{3}+9\right) \left(5 \,{\mathrm e}^{3} \ln \left(2\right) x +25 \ln \left(2\right)-15 x \ln \left(2\right)\right)}+\frac{125 \ln \left(2\right)^{2} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right) {\mathrm e}^{3}}{32 \left(-{\mathrm e}^{6}+6 \,{\mathrm e}^{3}-9\right) \left({\mathrm e}^{3}-3\right)}-\frac{3125 \ln \left(2\right)^{3} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right)}{128 \left(-{\mathrm e}^{6}+6 \,{\mathrm e}^{3}-9\right) \left({\mathrm e}^{3}-3\right)}-\frac{375 \ln \left(2\right)^{2} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right)}{32 \left(-{\mathrm e}^{6}+6 \,{\mathrm e}^{3}-9\right) \left({\mathrm e}^{3}-3\right)}-\frac{30 \ln \left(2\right) {\mathrm e}^{\frac{5 x \ln \left(2\right)}{4}}}{16 \,{\mathrm e}^{6}-96 \,{\mathrm e}^{3}+144}+\frac{9375 \ln \left(2\right)^{3} {\mathrm e}^{\frac{5 x \ln \left(2\right)}{4}}}{32 \left({\mathrm e}^{3}-3\right) \left({\mathrm e}^{6}-6 \,{\mathrm e}^{3}+9\right) \left(5 \,{\mathrm e}^{3} \ln \left(2\right) x +25 \ln \left(2\right)-15 x \ln \left(2\right)\right)}-\frac{750 \ln \left(2\right)^{2} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right) {\mathrm e}^{3}}{\left({\mathrm e}^{3}-3\right)^{2} \left(16 \,{\mathrm e}^{6}-96 \,{\mathrm e}^{3}+144\right)}+\frac{1125 \ln \left(2\right)^{2} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right)}{\left({\mathrm e}^{3}-3\right)^{2} \left(16 \,{\mathrm e}^{6}-96 \,{\mathrm e}^{3}+144\right)}+\frac{9375 \ln \left(2\right)^{3} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right)}{8 \left({\mathrm e}^{3}-3\right)^{2} \left(16 \,{\mathrm e}^{6}-96 \,{\mathrm e}^{3}+144\right)}+\frac{20 \,{\mathrm e}^{3} \ln \left(2\right) {\mathrm e}^{\frac{5 x \ln \left(2\right)}{4}}}{32 \,{\mathrm e}^{6}-192 \,{\mathrm e}^{3}+288}-\frac{3125 \,{\mathrm e}^{3} \ln \left(2\right)^{3} {\mathrm e}^{\frac{5 x \ln \left(2\right)}{4}}}{32 \left({\mathrm e}^{3}-3\right) \left({\mathrm e}^{6}-6 \,{\mathrm e}^{3}+9\right) \left(5 \,{\mathrm e}^{3} \ln \left(2\right) x +25 \ln \left(2\right)-15 x \ln \left(2\right)\right)}+\frac{125 \,{\mathrm e}^{6} \ln \left(2\right)^{2} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right)}{\left({\mathrm e}^{3}-3\right)^{2} \left(16 \,{\mathrm e}^{6}-96 \,{\mathrm e}^{3}+144\right)}-\frac{3125 \ln \left(2\right)^{3} {\mathrm e}^{-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}} \expIntegralEi \left(1, -\frac{5 x \ln \left(2\right)}{4}-\frac{25 \ln \left(2\right)}{4 \left({\mathrm e}^{3}-3\right)}\right) {\mathrm e}^{3}}{8 \left({\mathrm e}^{3}-3\right)^{2} \left(16 \,{\mathrm e}^{6}-96 \,{\mathrm e}^{3}+144\right)}}{\ln \left(2\right)}$&$723$\\ \hline \end{longtable}"," ",0,"5/8*x*2^(5/4*x)/(x*exp(3)-3*x+5)","A"
7125,1,15,14,0.018000," ","int(-7/3*exp(-exp(9)+7/3*x+10/3)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{-{\mathrm e}^{9}+\frac{7 x}{3}+\frac{10}{3}}$&$15$\\ norman&$x -{\mathrm e}^{-{\mathrm e}^{9}+\frac{7 x}{3}+\frac{10}{3}}$&$15$\\ risch&$x -{\mathrm e}^{-{\mathrm e}^{9}+\frac{7 x}{3}+\frac{10}{3}}$&$15$\\ derivativedivides&$-{\mathrm e}^{-{\mathrm e}^{9}+\frac{7 x}{3}+\frac{10}{3}}+\frac{3 \ln \left({\mathrm e}^{-{\mathrm e}^{9}+\frac{7 x}{3}+\frac{10}{3}}\right)}{7}$&$27$\\ \hline \end{longtable}"," ",0,"x-exp(-exp(9)+7/3*x+10/3)","A"
7126,1,34,31,0.136000," ","int(((x^7+3*x^6+3*x^5+x^4+3*x^3+x^2)*exp(2+x)-2*x^2-12*x-6)/(x^7+3*x^6+3*x^5+x^4)/exp(2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{1}{x \left(x^{2}+2 x +1\right)}+\frac{2 \,{\mathrm e}^{-x -2}}{\left(x +1\right)^{2} x^{3}}$&$34$\\ norman&$\frac{\left(2+{\mathrm e}^{2+x} x^{6}-3 \,{\mathrm e}^{2+x} x^{4}-2 \,{\mathrm e}^{2+x} x^{3}-x^{2} {\mathrm e}^{2+x}\right) {\mathrm e}^{-x -2}}{x^{3} \left(x +1\right)^{2}}$&$53$\\ derivativedivides&$2+x +\frac{1}{\left(x +1\right)^{2}}+\frac{1}{x +1}-\frac{1}{x}-\frac{5 \,{\mathrm e}^{-x -2} \left(67 \left(2+x \right)^{4}-430 \left(2+x \right)^{3}+1000 \left(2+x \right)^{2}-1630-990 x \right)}{3 \left(\left(2+x \right)^{5}-8 \left(2+x \right)^{4}+25 \left(2+x \right)^{3}-38 \left(2+x \right)^{2}+48+28 x \right)}+\frac{2 \,{\mathrm e}^{-x -2} \left(98 \left(2+x \right)^{4}-629 \left(2+x \right)^{3}+1463 \left(2+x \right)^{2}-2384-1449 x \right)}{3 \left(\left(2+x \right)^{5}-8 \left(2+x \right)^{4}+25 \left(2+x \right)^{3}-38 \left(2+x \right)^{2}+48+28 x \right)}+\frac{{\mathrm e}^{-x -2} \left(139 \left(2+x \right)^{4}-892 \left(2+x \right)^{3}+2074 \left(2+x \right)^{2}-3376-2052 x \right)}{3 \left(2+x \right)^{5}-24 \left(2+x \right)^{4}+75 \left(2+x \right)^{3}-114 \left(2+x \right)^{2}+144+84 x}$&$220$\\ default&$2+x +\frac{1}{\left(x +1\right)^{2}}+\frac{1}{x +1}-\frac{1}{x}-\frac{5 \,{\mathrm e}^{-x -2} \left(67 \left(2+x \right)^{4}-430 \left(2+x \right)^{3}+1000 \left(2+x \right)^{2}-1630-990 x \right)}{3 \left(\left(2+x \right)^{5}-8 \left(2+x \right)^{4}+25 \left(2+x \right)^{3}-38 \left(2+x \right)^{2}+48+28 x \right)}+\frac{2 \,{\mathrm e}^{-x -2} \left(98 \left(2+x \right)^{4}-629 \left(2+x \right)^{3}+1463 \left(2+x \right)^{2}-2384-1449 x \right)}{3 \left(\left(2+x \right)^{5}-8 \left(2+x \right)^{4}+25 \left(2+x \right)^{3}-38 \left(2+x \right)^{2}+48+28 x \right)}+\frac{{\mathrm e}^{-x -2} \left(139 \left(2+x \right)^{4}-892 \left(2+x \right)^{3}+2074 \left(2+x \right)^{2}-3376-2052 x \right)}{3 \left(2+x \right)^{5}-24 \left(2+x \right)^{4}+75 \left(2+x \right)^{3}-114 \left(2+x \right)^{2}+144+84 x}$&$220$\\ \hline \end{longtable}"," ",0,"x-1/x/(x^2+2*x+1)+2/(x+1)^2/x^3*exp(-x-2)","A"
7127,1,90,20,0.056000," ","int((16*exp((5*x*ln(3)-x-2)/x)^8-224*exp((5*x*ln(3)-x-2)/x)^7+1344*exp((5*x*ln(3)-x-2)/x)^6-4480*exp((5*x*ln(3)-x-2)/x)^5+8960*exp((5*x*ln(3)-x-2)/x)^4-10752*exp((5*x*ln(3)-x-2)/x)^3+7168*exp((5*x*ln(3)-x-2)/x)^2-2048*exp((5*x*ln(3)-x-2)/x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$12157665459056928801 \,{\mathrm e}^{-\frac{8 \left(2+x \right)}{x}}-800504721583995312 \,{\mathrm e}^{-\frac{7 \left(2+x \right)}{x}}+23059806794600688 \,{\mathrm e}^{-\frac{6 \left(2+x \right)}{x}}-379585297030464 \,{\mathrm e}^{-\frac{5 \left(2+x \right)}{x}}+3905198529120 \,{\mathrm e}^{-\frac{4 \left(2+x \right)}{x}}-25713241344 \,{\mathrm e}^{-\frac{3 \left(2+x \right)}{x}}+105815808 \,{\mathrm e}^{-\frac{2 \left(2+x \right)}{x}}-248832 \,{\mathrm e}^{-\frac{2+x}{x}}$&$90$\\ derivativedivides&$105815808 \,{\mathrm e}^{-\frac{4}{x}-2}-25713241344 \,{\mathrm e}^{-\frac{6}{x}-3}+3905198529120 \,{\mathrm e}^{-\frac{8}{x}-4}-379585297030464 \,{\mathrm e}^{-\frac{10}{x}-5}+23059806794600688 \,{\mathrm e}^{-\frac{12}{x}-6}-800504721583995312 \,{\mathrm e}^{-\frac{14}{x}-7}+12157665459056928801 \,{\mathrm e}^{-\frac{16}{x}-8}-1024 \,{\mathrm e}^{5 \ln \left(3\right)-1-\frac{2}{x}}$&$126$\\ default&$105815808 \,{\mathrm e}^{-\frac{4}{x}-2}-25713241344 \,{\mathrm e}^{-\frac{6}{x}-3}+3905198529120 \,{\mathrm e}^{-\frac{8}{x}-4}-379585297030464 \,{\mathrm e}^{-\frac{10}{x}-5}+23059806794600688 \,{\mathrm e}^{-\frac{12}{x}-6}-800504721583995312 \,{\mathrm e}^{-\frac{14}{x}-7}+12157665459056928801 \,{\mathrm e}^{-\frac{16}{x}-8}-1024 \,{\mathrm e}^{5 \ln \left(3\right)-1-\frac{2}{x}}$&$126$\\ norman&$\frac{x \,{\mathrm e}^{\frac{40 x \ln \left(3\right)-8 x -16}{x}}+1792 x \,{\mathrm e}^{\frac{10 x \ln \left(3\right)-2 x -4}{x}}-1792 x \,{\mathrm e}^{\frac{15 x \ln \left(3\right)-3 x -6}{x}}+1120 x \,{\mathrm e}^{\frac{20 x \ln \left(3\right)-4 x -8}{x}}-448 x \,{\mathrm e}^{\frac{25 x \ln \left(3\right)-5 x -10}{x}}+112 x \,{\mathrm e}^{\frac{30 x \ln \left(3\right)-6 x -12}{x}}-16 x \,{\mathrm e}^{\frac{35 x \ln \left(3\right)-7 x -14}{x}}-1024 \,{\mathrm e}^{\frac{5 x \ln \left(3\right)-x -2}{x}} x}{x}$&$163$\\ \hline \end{longtable}"," ",0,"12157665459056928801*exp(-8*(2+x)/x)-800504721583995312*exp(-7*(2+x)/x)+23059806794600688*exp(-6*(2+x)/x)-379585297030464*exp(-5*(2+x)/x)+3905198529120*exp(-4*(2+x)/x)-25713241344*exp(-3*(2+x)/x)+105815808*exp(-2*(2+x)/x)-248832*exp(-(2+x)/x)","B"
7128,1,19,18,0.052000," ","int(1/4*(-1587*x^2-12742*x+149161)*exp(-529/4*x^3-6371/4*x^2+149161/4*x-554725/4)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +{\mathrm e}^{-\frac{529}{4} x^{3}-\frac{6371}{4} x^{2}+\frac{149161}{4} x -\frac{554725}{4}}$&$19$\\ norman&$x +{\mathrm e}^{-\frac{529}{4} x^{3}-\frac{6371}{4} x^{2}+\frac{149161}{4} x -\frac{554725}{4}}$&$19$\\ risch&$x +{\mathrm e}^{-\frac{\left(x +25\right) \left(529 x^{2}-6854 x +22189\right)}{4}}$&$19$\\ \hline \end{longtable}"," ",0,"x+exp(-529/4*x^3-6371/4*x^2+149161/4*x-554725/4)","A"
7129,1,18,18,0.017000," ","int(-2*ln(3*x^2/ln(2*exp(3))^2)-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(\frac{3 x^{2}}{\left(3+\ln \left(2\right)\right)^{2}}\right) x +x$&$18$\\ norman&$x -2 x \ln \left(\frac{3 x^{2}}{\ln \left(2 \,{\mathrm e}^{3}\right)^{2}}\right)$&$19$\\ default&$x +4 \ln \left(3+\ln \left(2\right)\right) x -2 x \ln \left(3\right)-2 x \ln \left(x^{2}\right)$&$23$\\ \hline \end{longtable}"," ",0,"-2*ln(3*x^2/(3+ln(2))^2)*x+x","A"
7130,1,863,29,0.677000," ","int((((8*x^2+2*x)*ln(1/(4*x^2+x))^2+((-80*x^3-20*x^2-8*x-2)*exp(5*x^2)-16*x^2-2*x)*ln(1/(4*x^2+x))+(80*x^2+20*x)*exp(5*x^2)^2+(16*x+2)*exp(5*x^2))*exp(x^2*ln(1/(4*x^2+x))^2-2*x*exp(5*x^2)*ln(1/(4*x^2+x))+exp(5*x^2)^2)-4*x-1)/(4*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +x^{4 x^{2} \ln \left(2\right)} \left(x +\frac{1}{4}\right)^{4 x^{2} \ln \left(2\right)} \left(x +\frac{1}{4}\right)^{2 x^{2} \ln \left(x \right)} 2^{-2 i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right)} x^{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{x \left(4 x +1\right)}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{4 x +1}\right)} \left(x +\frac{1}{4}\right)^{-i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{4 x +1}\right)} x^{-i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right)} 2^{2 i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{x \left(4 x +1\right)}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{4 x +1}\right)} x^{-i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{4 x +1}\right)} \left(x +\frac{1}{4}\right)^{-i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right)} \left(x +\frac{1}{4}\right)^{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{x \left(4 x +1\right)}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{4 x +1}\right)} 2^{2 i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{x \left(4 x +1\right)}\right)} x^{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{x \left(4 x +1\right)}\right)} 16^{x \,{\mathrm e}^{5 x^{2}}} x^{2 x \,{\mathrm e}^{5 x^{2}}} \left(x +\frac{1}{4}\right)^{2 x \,{\mathrm e}^{5 x^{2}}} 2^{-2 i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{4 x +1}\right)} \left(x +\frac{1}{4}\right)^{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{x \left(4 x +1\right)}\right)} {\mathrm e}^{x^{2} \ln \left(x \right)^{2}+4 x^{2} \ln \left(2\right)^{2}+x^{2} \ln \left(x +\frac{1}{4}\right)^{2}+{\mathrm e}^{10 x^{2}}} {\mathrm e}^{\frac{x^{2} \pi^{2} \mathrm{csgn}\left(\frac{i}{x \left(x +\frac{1}{4}\right)}\right)^{5} \mathrm{csgn}\left(\frac{i}{x}\right)}{2}} {\mathrm e}^{\frac{x^{2} \pi^{2} \mathrm{csgn}\left(\frac{i}{x \left(x +\frac{1}{4}\right)}\right)^{5} \mathrm{csgn}\left(\frac{i}{x +\frac{1}{4}}\right)}{2}} {\mathrm e}^{-\frac{x^{2} \pi^{2} \mathrm{csgn}\left(\frac{i}{x \left(x +\frac{1}{4}\right)}\right)^{4} \mathrm{csgn}\left(\frac{i}{x}\right)^{2}}{4}} {\mathrm e}^{-\frac{x^{2} \pi^{2} \mathrm{csgn}\left(\frac{i}{x \left(x +\frac{1}{4}\right)}\right)^{4} \mathrm{csgn}\left(\frac{i}{x +\frac{1}{4}}\right)^{2}}{4}} {\mathrm e}^{i x \,{\mathrm e}^{5 x^{2}} \pi  \mathrm{csgn}\left(\frac{i}{x \left(x +\frac{1}{4}\right)}\right)^{3}} {\mathrm e}^{-i x \,{\mathrm e}^{5 x^{2}} \pi  \mathrm{csgn}\left(\frac{i}{x \left(x +\frac{1}{4}\right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)} {\mathrm e}^{-i x \,{\mathrm e}^{5 x^{2}} \pi  \mathrm{csgn}\left(\frac{i}{x \left(x +\frac{1}{4}\right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{x +\frac{1}{4}}\right)} {\mathrm e}^{\frac{x^{2} \pi^{2} \mathrm{csgn}\left(\frac{i}{x \left(x +\frac{1}{4}\right)}\right)^{3} \mathrm{csgn}\left(\frac{i}{x +\frac{1}{4}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)}{2}} {\mathrm e}^{-\frac{x^{2} \pi^{2} \mathrm{csgn}\left(\frac{i}{x \left(x +\frac{1}{4}\right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x +\frac{1}{4}}\right)^{2}}{4}} {\mathrm e}^{-x^{2} \pi^{2} \mathrm{csgn}\left(\frac{i}{x \left(x +\frac{1}{4}\right)}\right)^{4} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x +\frac{1}{4}}\right)} {\mathrm e}^{\frac{x^{2} \pi^{2} \mathrm{csgn}\left(\frac{i}{x \left(x +\frac{1}{4}\right)}\right)^{3} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x +\frac{1}{4}}\right)}{2}} {\mathrm e}^{i x \,{\mathrm e}^{5 x^{2}} \pi  \,\mathrm{csgn}\left(\frac{i}{x \left(x +\frac{1}{4}\right)}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x +\frac{1}{4}}\right)} {\mathrm e}^{-\frac{x^{2} \pi^{2} \mathrm{csgn}\left(\frac{i}{x \left(x +\frac{1}{4}\right)}\right)^{6}}{4}}$&$863$\\ \hline \end{longtable}"," ",0,"-x+x^(4*x^2*ln(2))*(x+1/4)^(4*x^2*ln(2))*(x+1/4)^(2*x^2*ln(x))*2^(-2*I*x^2*Pi*csgn(I/x))*x^(I*x^2*Pi*csgn(I/x/(4*x+1))*csgn(I/x)*csgn(I/(4*x+1)))*(x+1/4)^(-I*x^2*Pi*csgn(I/(4*x+1)))*x^(-I*x^2*Pi*csgn(I/x))*2^(2*I*x^2*Pi*csgn(I/x/(4*x+1))*csgn(I/x)*csgn(I/(4*x+1)))*x^(-I*x^2*Pi*csgn(I/(4*x+1)))*(x+1/4)^(-I*x^2*Pi*csgn(I/x))*(x+1/4)^(I*x^2*Pi*csgn(I/x/(4*x+1))*csgn(I/x)*csgn(I/(4*x+1)))*2^(2*I*x^2*Pi*csgn(I/x/(4*x+1)))*x^(I*x^2*Pi*csgn(I/x/(4*x+1)))*16^(x*exp(5*x^2))*x^(2*x*exp(5*x^2))*(x+1/4)^(2*x*exp(5*x^2))*2^(-2*I*x^2*Pi*csgn(I/(4*x+1)))*(x+1/4)^(I*x^2*Pi*csgn(I/x/(4*x+1)))*exp(x^2*ln(x)^2+4*x^2*ln(2)^2+x^2*ln(x+1/4)^2+exp(10*x^2))*exp(1/2*x^2*Pi^2*csgn(I/x/(x+1/4))^5*csgn(I/x))*exp(1/2*x^2*Pi^2*csgn(I/x/(x+1/4))^5*csgn(I/(x+1/4)))*exp(-1/4*x^2*Pi^2*csgn(I/x/(x+1/4))^4*csgn(I/x)^2)*exp(-1/4*x^2*Pi^2*csgn(I/x/(x+1/4))^4*csgn(I/(x+1/4))^2)*exp(I*x*exp(5*x^2)*Pi*csgn(I/x/(x+1/4))^3)*exp(-I*x*exp(5*x^2)*Pi*csgn(I/x/(x+1/4))^2*csgn(I/x))*exp(-I*x*exp(5*x^2)*Pi*csgn(I/x/(x+1/4))^2*csgn(I/(x+1/4)))*exp(1/2*x^2*Pi^2*csgn(I/x/(x+1/4))^3*csgn(I/(x+1/4))^2*csgn(I/x))*exp(-1/4*x^2*Pi^2*csgn(I/x/(x+1/4))^2*csgn(I/x)^2*csgn(I/(x+1/4))^2)*exp(-x^2*Pi^2*csgn(I/x/(x+1/4))^4*csgn(I/x)*csgn(I/(x+1/4)))*exp(1/2*x^2*Pi^2*csgn(I/x/(x+1/4))^3*csgn(I/x)^2*csgn(I/(x+1/4)))*exp(I*x*exp(5*x^2)*Pi*csgn(I/x/(x+1/4))*csgn(I/x)*csgn(I/(x+1/4)))*exp(-1/4*x^2*Pi^2*csgn(I/x/(x+1/4))^6)","C"
7131,1,604,24,0.399000," ","int(((2*x^4+8*x^3-10*x^2)*ln(x-1)^2+((2*x^3+8*x^2-10*x)*ln((-x-5)/x)+(2*x^3+8*x^2-10*x)*exp(5)+(2*x^3+8*x^2-10*x)*exp(2)-2*x^4-6*x^3+10*x^2+10*x)*ln(x-1)+(2*x^2+10)*ln((-x-5)/x)+(2*x^2+10)*exp(5)+(2*x^2+10)*exp(2)-2*x^3-10*x)/(x^3+4*x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \,{\mathrm e}^{2} x -2 x \,{\mathrm e}^{5}+\ln \left(5+x \right)^{2}+\ln \left(x \right)^{2}+x^{2}+x^{2} \ln \left(x -1\right)^{2}-2 \,{\mathrm e}^{2} \ln \left(x \right)-2 \,{\mathrm e}^{5} \ln \left(x \right)+2 x \ln \left(x \right)+2 i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2}+2 i \pi  x \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2}-2 i \ln \left(5+x \right) \pi  \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2}-i \pi  x \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{3}-i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{3}+i \ln \left(5+x \right) \pi  \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{3}-2 x \ln \left(5+x \right)-2 \ln \left(x \right) \ln \left(5+x \right)+2 \ln \left(5+x \right) {\mathrm e}^{5}+2 \ln \left(5+x \right) {\mathrm e}^{2}+\left(2 x \ln \left(5+x \right)-2 x \ln \left(x \right)-i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)+i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2}-2 i \pi  x \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2}+i \pi  x \,\mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2}+i \pi  x \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{3}+2 x \,{\mathrm e}^{5}+2 i \pi  x +2 \,{\mathrm e}^{2} x -2 x^{2}\right) \ln \left(x -1\right)+2 i \ln \left(5+x \right) \pi -2 i \ln \left(x \right) \pi -2 i \pi  x +i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)+i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)-i \ln \left(5+x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)-i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2}-i \pi  x \,\mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2}-i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2}+i \ln \left(5+x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2}+i \ln \left(5+x \right) \pi  \,\mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2}-i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2}$&$604$\\ \hline \end{longtable}"," ",0,"-2*exp(2)*x-2*x*exp(5)+ln(5+x)^2+ln(x)^2+x^2+x^2*ln(x-1)^2-2*exp(2)*ln(x)-2*exp(5)*ln(x)+2*x*ln(x)+2*I*ln(x)*Pi*csgn(I/x*(5+x))^2+2*I*Pi*x*csgn(I/x*(5+x))^2-2*I*ln(5+x)*Pi*csgn(I/x*(5+x))^2+2*I*ln(5+x)*Pi-2*I*ln(x)*Pi-2*x*ln(5+x)-2*ln(x)*ln(5+x)+2*ln(5+x)*exp(5)+2*ln(5+x)*exp(2)+(2*x*ln(5+x)-2*x*ln(x)-I*Pi*x*csgn(I/x)*csgn(I*(5+x))*csgn(I/x*(5+x))+I*Pi*x*csgn(I/x)*csgn(I/x*(5+x))^2-2*I*Pi*x*csgn(I/x*(5+x))^2+I*Pi*x*csgn(I*(5+x))*csgn(I/x*(5+x))^2+I*Pi*x*csgn(I/x*(5+x))^3+2*x*exp(5)+2*I*Pi*x+2*exp(2)*x-2*x^2)*ln(x-1)-2*I*Pi*x-I*ln(x)*Pi*csgn(I/x*(5+x))^3-I*Pi*x*csgn(I/x)*csgn(I/x*(5+x))^2-I*Pi*x*csgn(I*(5+x))*csgn(I/x*(5+x))^2-I*ln(x)*Pi*csgn(I/x)*csgn(I/x*(5+x))^2+I*ln(5+x)*Pi*csgn(I/x*(5+x))^3+I*ln(5+x)*Pi*csgn(I/x)*csgn(I/x*(5+x))^2+I*ln(x)*Pi*csgn(I/x)*csgn(I*(5+x))*csgn(I/x*(5+x))+I*Pi*x*csgn(I/x)*csgn(I*(5+x))*csgn(I/x*(5+x))-I*ln(5+x)*Pi*csgn(I/x)*csgn(I*(5+x))*csgn(I/x*(5+x))+I*ln(5+x)*Pi*csgn(I*(5+x))*csgn(I/x*(5+x))^2-I*ln(x)*Pi*csgn(I*(5+x))*csgn(I/x*(5+x))^2-I*Pi*x*csgn(I/x*(5+x))^3","C"
7132,1,21,20,0.041000," ","int(1/64*(-3*exp(x^2)+8*x^2-4)*exp(1/4*(3*exp(x^2)*x+4*x)/exp(x^2))/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{\frac{x \left(3 \,{\mathrm e}^{x^{2}}+4\right) {\mathrm e}^{-x^{2}}}{4}}}{16}$&$21$\\ norman&$-\frac{{\mathrm e}^{\frac{\left(3 \,{\mathrm e}^{x^{2}} x +4 x \right) {\mathrm e}^{-x^{2}}}{4}}}{16}$&$23$\\ \hline \end{longtable}"," ",0,"-1/16*exp(1/4*x*(3*exp(x^2)+4)*exp(-x^2))","A"
7133,1,21,24,0.027000," ","int((-2*x^6+8*x^4+24*x^2)/(3*x^8+6*x^7+27*x^6+24*x^5+72*x^4+24*x^3+96*x^2+48),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 x^{3}}{3 \left(x^{4}+x^{3}+4 x^{2}+4\right)}$&$21$\\ default&$\frac{2 x^{3}}{3 \left(x^{4}+x^{3}+4 x^{2}+4\right)}$&$21$\\ norman&$\frac{2 x^{3}}{3 \left(x^{4}+x^{3}+4 x^{2}+4\right)}$&$21$\\ risch&$\frac{2 x^{3}}{3 \left(x^{4}+x^{3}+4 x^{2}+4\right)}$&$21$\\ \hline \end{longtable}"," ",0,"2/3*x^3/(x^4+x^3+4*x^2+4)","A"
7134,1,14,21,0.013000," ","int(5/2*exp(x)-3*x+13,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$13 x -\frac{3 x^{2}}{2}+\frac{5 \,{\mathrm e}^{x}}{2}$&$14$\\ norman&$13 x -\frac{3 x^{2}}{2}+\frac{5 \,{\mathrm e}^{x}}{2}$&$14$\\ risch&$13 x -\frac{3 x^{2}}{2}+\frac{5 \,{\mathrm e}^{x}}{2}$&$14$\\ \hline \end{longtable}"," ",0,"13*x-3/2*x^2+5/2*exp(x)","A"
7135,1,9,10,0.017000," ","int(4*ln(5)*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$2 \ln \left(5\right) {\mathrm e}^{2 x}$&$9$\\ derivativedivides&$2 \ln \left(5\right) {\mathrm e}^{2 x}$&$9$\\ default&$2 \ln \left(5\right) {\mathrm e}^{2 x}$&$9$\\ norman&$2 \ln \left(5\right) {\mathrm e}^{2 x}$&$9$\\ risch&$2 \ln \left(5\right) {\mathrm e}^{2 x}$&$9$\\ meijerg&$-2 \ln \left(5\right) \left(1-{\mathrm e}^{2 x}\right)$&$13$\\ \hline \end{longtable}"," ",0,"2*ln(5)*exp(x)^2","A"
7136,1,17,17,0.031000," ","int(((8*x-4)*exp(4)-x^4+2*x^3-x^2)/(x^4-2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{4 \,{\mathrm e}^{4}}{x \left(x -1\right)}$&$17$\\ default&$-x -\frac{4 \,{\mathrm e}^{4}}{x -1}+\frac{4 \,{\mathrm e}^{4}}{x}$&$21$\\ gosper&$-\frac{x^{3}+4 \,{\mathrm e}^{4}-x}{x \left(x -1\right)}$&$22$\\ \hline \end{longtable}"," ",0,"-x-4*exp(4)/x/(x-1)","A"
7137,1,19,29,0.039000," ","int(((-8*x^2*exp(4*x^2)-x+1)*exp(exp(4*x^2))-x^2)/(x*exp(exp(4*x^2))+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -\ln \left({\mathrm e}^{{\mathrm e}^{4 x^{2}}}+x \right)+\ln \left(x \right)$&$19$\\ risch&$-x -\ln \left({\mathrm e}^{{\mathrm e}^{4 x^{2}}}+x \right)+\ln \left(x \right)$&$19$\\ \hline \end{longtable}"," ",0,"-x-ln(exp(exp(4*x^2))+x)+ln(x)","A"
7138,1,49,22,0.121000," ","int(((36*x^2-162*x-90)*ln(5-x)+(18*x^2-81*x-45)*exp(3)+27*x^3-99*x^2-61*x-37)/(2*x-10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(9 x^{2}+9 x \right) \ln \left(5-x \right)+\frac{9 x^{2} {\mathrm e}^{3}}{2}+\frac{9 x^{3}}{2}+\frac{9 x \,{\mathrm e}^{3}}{2}+\frac{9 x^{2}}{2}+\frac{11 x}{2}+9 \ln \left(x -5\right)$&$49$\\ norman&$9 \ln \left(5-x \right)+\left(\frac{9}{2}+\frac{9 \,{\mathrm e}^{3}}{2}\right) x^{2}+\left(\frac{11}{2}+\frac{9 \,{\mathrm e}^{3}}{2}\right) x +\frac{9 x^{3}}{2}+9 \ln \left(5-x \right) x +9 \ln \left(5-x \right) x^{2}$&$53$\\ derivativedivides&$\frac{9 \,{\mathrm e}^{3} \left(5-x \right)^{2}}{2}+9 \ln \left(5-x \right) \left(5-x \right)^{2}+72 \left(5-x \right)^{2}-\frac{9 \left(5-x \right)^{3}}{2}-\frac{99 \,{\mathrm e}^{3} \left(5-x \right)}{2}-99 \left(5-x \right) \ln \left(5-x \right)-1940+388 x +279 \ln \left(5-x \right)$&$80$\\ default&$\frac{9 \,{\mathrm e}^{3} \left(5-x \right)^{2}}{2}+9 \ln \left(5-x \right) \left(5-x \right)^{2}+72 \left(5-x \right)^{2}-\frac{9 \left(5-x \right)^{3}}{2}-\frac{99 \,{\mathrm e}^{3} \left(5-x \right)}{2}-99 \left(5-x \right) \ln \left(5-x \right)-1940+388 x +279 \ln \left(5-x \right)$&$80$\\ \hline \end{longtable}"," ",0,"(9*x^2+9*x)*ln(5-x)+9/2*x^2*exp(3)+9/2*x^3+9/2*x*exp(3)+9/2*x^2+11/2*x+9*ln(x-5)","B"
7139,1,20,22,0.029000," ","int(((5*x*exp(2*ln(3)-x^2)+5*x^2-10*x)*ln(exp(2*ln(3)-x^2)+x-2)+20*x^3*exp(2*ln(3)-x^2)-10*x^2)/(exp(2*ln(3)-x^2)+x-2)/ln(exp(2*ln(3)-x^2)+x-2)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x^{2}}{2 \ln \left(9 \,{\mathrm e}^{-x^{2}}+x -2\right)^{4}}$&$20$\\ \hline \end{longtable}"," ",0,"5/2/ln(9*exp(-x^2)+x-2)^4*x^2","A"
7140,1,36,24,0.105000," ","int(((-8*x*ln(x)+56*x+4)*exp(-x*ln(x)+8*x)^2+(8*x^2*ln(x)-56*x^2-16*x)*exp(-x*ln(x)+8*x)+12*x^2+3)*exp(4*x*exp(-x*ln(x)+8*x)^2-8*x^2*exp(-x*ln(x)+8*x)+4*x^3+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x \left(4 x^{-2 x} {\mathrm e}^{16 x}-8 x^{-x} {\mathrm e}^{8 x} x +4 x^{2}+3\right)}$&$36$\\ \hline \end{longtable}"," ",0,"exp(x*(4*(x^(-x))^2*exp(16*x)-8*x^(-x)*exp(8*x)*x+4*x^2+3))","A"
7141,1,892,28,2.281000," ","int(((-3*x^2-10)*ln(x)*ln(4*ln(x))*ln(1/2*ln(4*ln(x))/x)*ln(ln(1/2*ln(4*ln(x))/x)^2)+(-6*x^2+20)*ln(x)*ln(4*ln(x))+6*x^2-20)/(3*x^3-10*x)/ln(x)/ln(4*ln(x))/ln(1/2*ln(4*ln(x))/x)/ln(ln(1/2*ln(4*ln(x))/x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-\ln \left(3 x^{2}-10\right)+\ln \left(\ln \left(\pi  \,\mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(4 \ln \left(x \right)\right)\right)-\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)-\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{2} \mathrm{csgn}\left(i \ln \left(4 \ln \left(x \right)\right)\right)+\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{3}-2 i \ln \left(2\right)-2 i \ln \left(x \right)+2 i \ln \left(\ln \left(4 \ln \left(x \right)\right)\right)\right)-\frac{i \left(2 \pi  \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{2} \mathrm{csgn}\left(i \ln \left(4 \ln \left(x \right)\right)\right)-\pi  \,\mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(4 \ln \left(x \right)\right)\right)-\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+2 i \ln \left(x \right)+2 i \ln \left(2\right)-2 i \ln \left(\ln \left(4 \ln \left(x \right)\right)\right)\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{2} \mathrm{csgn}\left(i \ln \left(4 \ln \left(x \right)\right)\right)-\pi  \,\mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(4 \ln \left(x \right)\right)\right)-\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+2 i \ln \left(x \right)+2 i \ln \left(2\right)-2 i \ln \left(\ln \left(4 \ln \left(x \right)\right)\right)\right)\right)^{2} \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{2} \mathrm{csgn}\left(i \ln \left(4 \ln \left(x \right)\right)\right)-\pi  \,\mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(4 \ln \left(x \right)\right)\right)-\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+2 i \ln \left(x \right)+2 i \ln \left(2\right)-2 i \ln \left(\ln \left(4 \ln \left(x \right)\right)\right)\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{2} \mathrm{csgn}\left(i \ln \left(4 \ln \left(x \right)\right)\right)-\pi  \,\mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(4 \ln \left(x \right)\right)\right)-\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+2 i \ln \left(x \right)+2 i \ln \left(2\right)-2 i \ln \left(\ln \left(4 \ln \left(x \right)\right)\right)\right)\right) \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{2} \mathrm{csgn}\left(i \ln \left(4 \ln \left(x \right)\right)\right)-\pi  \,\mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(4 \ln \left(x \right)\right)\right)-\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+2 i \ln \left(x \right)+2 i \ln \left(2\right)-2 i \ln \left(\ln \left(4 \ln \left(x \right)\right)\right)\right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{2} \mathrm{csgn}\left(i \ln \left(4 \ln \left(x \right)\right)\right)-\pi  \,\mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(4 \ln \left(x \right)\right)\right)-\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \ln \left(4 \ln \left(x \right)\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+2 i \ln \left(x \right)+2 i \ln \left(2\right)-2 i \ln \left(\ln \left(4 \ln \left(x \right)\right)\right)\right)^{2}\right)^{3}-2 \pi -4 i \ln \left(2\right)\right)}{4}\right)$&$892$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(3*x^2-10)+ln(ln(Pi*csgn(I/x*ln(4*ln(x)))*csgn(I/x)*csgn(I*ln(4*ln(x)))-Pi*csgn(I/x*ln(4*ln(x)))^2*csgn(I/x)-Pi*csgn(I/x*ln(4*ln(x)))^2*csgn(I*ln(4*ln(x)))+Pi*csgn(I/x*ln(4*ln(x)))^3-2*I*ln(2)-2*I*ln(x)+2*I*ln(ln(4*ln(x))))-1/4*I*(2*Pi*csgn(I*(Pi*csgn(I/x*ln(4*ln(x)))^2*csgn(I*ln(4*ln(x)))-Pi*csgn(I/x*ln(4*ln(x)))*csgn(I/x)*csgn(I*ln(4*ln(x)))-Pi*csgn(I/x*ln(4*ln(x)))^3+Pi*csgn(I/x*ln(4*ln(x)))^2*csgn(I/x)+2*I*ln(x)+2*I*ln(2)-2*I*ln(ln(4*ln(x))))^2)^2+Pi*csgn(I*(Pi*csgn(I/x*ln(4*ln(x)))^2*csgn(I*ln(4*ln(x)))-Pi*csgn(I/x*ln(4*ln(x)))*csgn(I/x)*csgn(I*ln(4*ln(x)))-Pi*csgn(I/x*ln(4*ln(x)))^3+Pi*csgn(I/x*ln(4*ln(x)))^2*csgn(I/x)+2*I*ln(x)+2*I*ln(2)-2*I*ln(ln(4*ln(x)))))^2*csgn(I*(Pi*csgn(I/x*ln(4*ln(x)))^2*csgn(I*ln(4*ln(x)))-Pi*csgn(I/x*ln(4*ln(x)))*csgn(I/x)*csgn(I*ln(4*ln(x)))-Pi*csgn(I/x*ln(4*ln(x)))^3+Pi*csgn(I/x*ln(4*ln(x)))^2*csgn(I/x)+2*I*ln(x)+2*I*ln(2)-2*I*ln(ln(4*ln(x))))^2)+2*Pi*csgn(I*(Pi*csgn(I/x*ln(4*ln(x)))^2*csgn(I*ln(4*ln(x)))-Pi*csgn(I/x*ln(4*ln(x)))*csgn(I/x)*csgn(I*ln(4*ln(x)))-Pi*csgn(I/x*ln(4*ln(x)))^3+Pi*csgn(I/x*ln(4*ln(x)))^2*csgn(I/x)+2*I*ln(x)+2*I*ln(2)-2*I*ln(ln(4*ln(x)))))*csgn(I*(Pi*csgn(I/x*ln(4*ln(x)))^2*csgn(I*ln(4*ln(x)))-Pi*csgn(I/x*ln(4*ln(x)))*csgn(I/x)*csgn(I*ln(4*ln(x)))-Pi*csgn(I/x*ln(4*ln(x)))^3+Pi*csgn(I/x*ln(4*ln(x)))^2*csgn(I/x)+2*I*ln(x)+2*I*ln(2)-2*I*ln(ln(4*ln(x))))^2)^2-Pi*csgn(I*(Pi*csgn(I/x*ln(4*ln(x)))^2*csgn(I*ln(4*ln(x)))-Pi*csgn(I/x*ln(4*ln(x)))*csgn(I/x)*csgn(I*ln(4*ln(x)))-Pi*csgn(I/x*ln(4*ln(x)))^3+Pi*csgn(I/x*ln(4*ln(x)))^2*csgn(I/x)+2*I*ln(x)+2*I*ln(2)-2*I*ln(ln(4*ln(x))))^2)^3-2*Pi-4*I*ln(2)))","C"
7142,1,85,30,0.174000," ","int((((x^2+4*x)*exp(x)^2+(2*x^3+7*x^2-5*x-4)*exp(x))*ln(x^2+8*x+16)+(x^3+4*x^2)*exp(x)^2+(2*x^4+7*x^3-4*x^2+2*x)*exp(x))/(x^3+4*x^2)/exp(-exp(x)-x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-i \pi  \mathrm{csgn}\left(i \left(4+x \right)\right)^{2} \mathrm{csgn}\left(i \left(4+x \right)^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(i \left(4+x \right)^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i \left(4+x \right)^{2}\right)^{3}+2 x +4 \ln \left(4+x \right)\right) {\mathrm e}^{x^{2}+{\mathrm e}^{x}-x}}{2 x}$&$85$\\ \hline \end{longtable}"," ",0,"1/2/x*(-I*Pi*csgn(I*(4+x))^2*csgn(I*(4+x)^2)+2*I*Pi*csgn(I*(4+x))*csgn(I*(4+x)^2)^2-I*Pi*csgn(I*(4+x)^2)^3+2*x+4*ln(4+x))*exp(x^2+exp(x)-x)","C"
7143,1,24,21,0.036000," ","int((54*x^2*exp(5)*ln(x)+18*x^2*exp(5))/((exp(2)+18*exp(1))*exp(5)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{18 x^{3} {\mathrm e}^{5} \ln \left(x \right)}{\left({\mathrm e}^{2}+18 \,{\mathrm e}\right) {\mathrm e}^{5}-1}$&$24$\\ risch&$\frac{18 x^{3} {\mathrm e}^{5} \ln \left(x \right)}{\left({\mathrm e}^{2}+18 \,{\mathrm e}\right) {\mathrm e}^{5}-1}$&$24$\\ norman&$\frac{18 \,{\mathrm e}^{5} x^{3} \ln \left(x \right)}{{\mathrm e}^{2} {\mathrm e}^{5}+18 \,{\mathrm e} \,{\mathrm e}^{5}-1}$&$25$\\ \hline \end{longtable}"," ",0,"18/((exp(2)+18*exp(1))*exp(5)-1)*x^3*exp(5)*ln(x)","A"
7144,1,29,26,0.031000," ","int(1/2*(-x^2*ln(5)+(-4*x^3+3*x^2)*ln(2)+2*x^3-10)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2} \ln \left(2\right)-\frac{x \ln \left(5\right)}{2}+\frac{3 x \ln \left(2\right)}{2}+\frac{x^{2}}{2}+\frac{5}{x}$&$29$\\ risch&$-x^{2} \ln \left(2\right)-\frac{x \ln \left(5\right)}{2}+\frac{3 x \ln \left(2\right)}{2}+\frac{x^{2}}{2}+\frac{5}{x}$&$29$\\ norman&$\frac{5+\left(-\ln \left(2\right)+\frac{1}{2}\right) x^{3}+\left(-\frac{\ln \left(5\right)}{2}+\frac{3 \ln \left(2\right)}{2}\right) x^{2}}{x}$&$30$\\ gosper&$-\frac{2 x^{3} \ln \left(2\right)+x^{2} \ln \left(5\right)-3 x^{2} \ln \left(2\right)-x^{3}-10}{2 x}$&$33$\\ \hline \end{longtable}"," ",0,"-x^2*ln(2)-1/2*x*ln(5)+3/2*x*ln(2)+1/2*x^2+5/x","A"
7145,1,18,18,0.034000," ","int(1/3*(5*x+3)*exp(5/3*x+3)+2*ln(2)+8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(8+2 \ln \left(2\right)\right) x +{\mathrm e}^{\frac{5 x}{3}+3} x$&$18$\\ risch&${\mathrm e}^{\frac{5 x}{3}+3} x +2 x \ln \left(2\right)+8 x$&$18$\\ default&$8 x +\frac{3 \,{\mathrm e}^{\frac{5 x}{3}+3} \left(\frac{5 x}{3}+3\right)}{5}-\frac{9 \,{\mathrm e}^{\frac{5 x}{3}+3}}{5}+2 x \ln \left(2\right)$&$31$\\ derivativedivides&$8 x +\frac{72}{5}+\frac{3 \,{\mathrm e}^{\frac{5 x}{3}+3} \left(\frac{5 x}{3}+3\right)}{5}-\frac{9 \,{\mathrm e}^{\frac{5 x}{3}+3}}{5}+\frac{6 \ln \left(2\right) \left(\frac{5 x}{3}+3\right)}{5}$&$36$\\ \hline \end{longtable}"," ",0,"(8+2*ln(2))*x+exp(5/3*x+3)*x","A"
7146,1,19,16,0.127000," ","int((-x^2*exp(4)+16*x^2+4)*exp(((-x^2-4*x)*exp(4)+16*x^2+63*x-4)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{\left(4+x \right) \left(x \,{\mathrm e}^{4}-16 x +1\right)}{x}}$&$19$\\ gosper&${\mathrm e}^{-\frac{x^{2} {\mathrm e}^{4}+4 x \,{\mathrm e}^{4}-16 x^{2}-63 x +4}{x}}$&$28$\\ norman&${\mathrm e}^{\frac{\left(-x^{2}-4 x \right) {\mathrm e}^{4}+16 x^{2}+63 x -4}{x}}$&$28$\\ \hline \end{longtable}"," ",0,"exp(-(4+x)*(x*exp(4)-16*x+1)/x)","A"
7147,1,26,21,0.034000," ","int((x^2*exp(1)*ln(x^2)+(3*x^2+18*x-9)*exp(1))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e} \ln \left(x^{2}\right)+\frac{{\mathrm e} \left(18 x \ln \left(x \right)+x^{2}+9\right)}{x}$&$26$\\ default&$x \,{\mathrm e} \ln \left(x^{2}\right)+x \,{\mathrm e}+18 \,{\mathrm e} \ln \left(x \right)+\frac{9 \,{\mathrm e}}{x}$&$27$\\ norman&$\frac{x^{2} {\mathrm e}+x^{2} {\mathrm e} \ln \left(x^{2}\right)+9 x \,{\mathrm e} \ln \left(x^{2}\right)+9 \,{\mathrm e}}{x}$&$35$\\ \hline \end{longtable}"," ",0,"x*exp(1)*ln(x^2)+exp(1)*(18*x*ln(x)+x^2+9)/x","A"
7148,1,25,27,0.060000," ","int((-10*ln(2)*ln(x)^2+3*x^2*ln(x)-x^2)/((10*x*ln(2)-5)*ln(x)^2-x^3*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(10 x \ln \left(2\right) \ln \left(x \right)-x^{3}-5 \ln \left(x \right)\right)+\ln \left(\ln \left(x \right)\right)$&$25$\\ risch&$-\ln \left(2 x \ln \left(2\right)-1\right)+\ln \left(\ln \left(x \right)\right)-\ln \left(\ln \left(x \right)-\frac{x^{3}}{5 \left(2 x \ln \left(2\right)-1\right)}\right)$&$35$\\ \hline \end{longtable}"," ",0,"-ln(10*x*ln(2)*ln(x)-x^3-5*ln(x))+ln(ln(x))","A"
7149,1,20,21,0.076000," ","int((-4*exp(2)^2*ln(2)-x*exp(2)^2)/(16*x*ln(2)^3*ln(3*x)^2+8*x^2*ln(2)^2*ln(3*x)+x^3*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{4}}{\ln \left(2\right) \left(x +4 \ln \left(3 x \right) \ln \left(2\right)\right)}$&$20$\\ norman&$\frac{{\mathrm e}^{4}}{\ln \left(2\right) \left(x +4 \ln \left(3 x \right) \ln \left(2\right)\right)}$&$22$\\ \hline \end{longtable}"," ",0,"1/ln(2)/(x+4*ln(3*x)*ln(2))*exp(4)","A"
7150,1,8,13,0.011000," ","int(2*ln(x)+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +2 x \ln \left(x \right)$&$8$\\ norman&$x +2 x \ln \left(x \right)$&$8$\\ risch&$x +2 x \ln \left(x \right)$&$8$\\ \hline \end{longtable}"," ",0,"x+2*x*ln(x)","A"
7151,1,27,26,0.154000," ","int(((x^2+2*x+1)*ln(-x)^2+(10*ln(2)+20*x^5+25*x^4+5*x^2+10*x)*ln(-x)+2*(-5*x-5)*ln(2)-5*x^5-5*x^4-5*x^2-5*x)/(5*x^2+10*x+5)/ln(-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(2 \ln \left(2\right)+x^{4}+x \right)}{\left(x +1\right) \ln \left(-x \right)}+\frac{x}{5}$&$27$\\ norman&$\frac{x^{2}+x^{5}-\frac{\ln \left(-x \right)}{5}+2 x \ln \left(2\right)+\frac{\ln \left(-x \right) x^{2}}{5}}{\left(x +1\right) \ln \left(-x \right)}$&$40$\\ derivativedivides&$\frac{x}{5}-\frac{-10 x \ln \left(2\right)-10 x^{2} \ln \left(2\right)}{5 \left(-x -1\right)^{2} \ln \left(-x \right)}+\frac{x^{4}}{\ln \left(-x \right)}-\frac{x^{3}}{\ln \left(-x \right)}+\frac{x^{2}}{\ln \left(-x \right)}$&$64$\\ default&$\frac{x}{5}-\frac{-10 x \ln \left(2\right)-10 x^{2} \ln \left(2\right)}{5 \left(-x -1\right)^{2} \ln \left(-x \right)}+\frac{x^{4}}{\ln \left(-x \right)}-\frac{x^{3}}{\ln \left(-x \right)}+\frac{x^{2}}{\ln \left(-x \right)}$&$64$\\ \hline \end{longtable}"," ",0,"x/(x+1)/ln(-x)*(2*ln(2)+x^4+x)+1/5*x","A"
7152,0,0,22,0.700000," ","int((20*ln(x^3)-30)*ln(x^2*ln(5)/ln(x^3))/x/ln(x^3)/exp(-ln(x^2*ln(5)/ln(x^3))^2),x)","\[\int \frac{\left(20 \ln \left(x^{3}\right)-30\right) \ln \left(\frac{x^{2} \ln \left(5\right)}{\ln \left(x^{3}\right)}\right) {\mathrm e}^{\ln \left(\frac{x^{2} \ln \left(5\right)}{\ln \left(x^{3}\right)}\right)^{2}}}{x \ln \left(x^{3}\right)}\, dx\]"," ",0,"int((20*ln(x^3)-30)*ln(x^2*ln(5)/ln(x^3))/x/ln(x^3)/exp(-ln(x^2*ln(5)/ln(x^3))^2),x)","F"
7153,1,26,23,0.046000," ","int(((ln(2)*ln(5)+6*x*ln(2)+exp(4))*exp(2*x)+(12*x-6)*ln(2))/ln(2)/exp(2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(5\right)+3 x^{2}-6 x \,{\mathrm e}^{-2 x}+\frac{x \,{\mathrm e}^{4}}{\ln \left(2\right)}$&$26$\\ default&$\frac{x \ln \left(2\right) \ln \left(5\right)+3 x^{2} \ln \left(2\right)-6 \,{\mathrm e}^{-2 x} x \ln \left(2\right)+x \,{\mathrm e}^{4}}{\ln \left(2\right)}$&$35$\\ derivativedivides&$\frac{2 x \ln \left(2\right) \ln \left(5\right)+6 x^{2} \ln \left(2\right)-12 \,{\mathrm e}^{-2 x} x \ln \left(2\right)+2 x \,{\mathrm e}^{4}}{2 \ln \left(2\right)}$&$38$\\ norman&$\left(\frac{\left(\ln \left(2\right) \ln \left(5\right)+{\mathrm e}^{4}\right) x \,{\mathrm e}^{2 x}}{\ln \left(2\right)}-6 x +3 \,{\mathrm e}^{2 x} x^{2}\right) {\mathrm e}^{-2 x}$&$39$\\ \hline \end{longtable}"," ",0,"x*ln(5)+3*x^2-6*x*exp(-2*x)+1/ln(2)*x*exp(4)","A"
7154,1,55,23,0.366000," ","int((x^4*ln(5)^2+(2*x^5-8*x^4-40*x^3-24*x^2)*ln(5)+x^6-8*x^5-25*x^4+136*x^3+476*x^2+456*x+144)*exp(((x^3-3*x^2)*ln(5)+x^4-7*x^3-7*x^2+48*x+36)/(x^2*ln(5)+x^3-4*x^2-20*x-12))/(x^4*ln(5)^2+(2*x^5-8*x^4-40*x^3-24*x^2)*ln(5)+x^6-8*x^5-24*x^4+136*x^3+496*x^2+480*x+144),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{x^{3} \ln \left(5\right)+x^{4}-3 x^{2} \ln \left(5\right)-7 x^{3}-7 x^{2}+48 x +36}{x^{2} \ln \left(5\right)+x^{3}-4 x^{2}-20 x -12}}$&$55$\\ risch&${\mathrm e}^{\frac{x^{3} \ln \left(5\right)+x^{4}-3 x^{2} \ln \left(5\right)-7 x^{3}-7 x^{2}+48 x +36}{x^{2} \ln \left(5\right)+x^{3}-4 x^{2}-20 x -12}}$&$55$\\ norman&$\frac{x^{3} {\mathrm e}^{\frac{\left(x^{3}-3 x^{2}\right) \ln \left(5\right)+x^{4}-7 x^{3}-7 x^{2}+48 x +36}{x^{2} \ln \left(5\right)+x^{3}-4 x^{2}-20 x -12}}+\left(\ln \left(5\right)-4\right) x^{2} {\mathrm e}^{\frac{\left(x^{3}-3 x^{2}\right) \ln \left(5\right)+x^{4}-7 x^{3}-7 x^{2}+48 x +36}{x^{2} \ln \left(5\right)+x^{3}-4 x^{2}-20 x -12}}-20 x \,{\mathrm e}^{\frac{\left(x^{3}-3 x^{2}\right) \ln \left(5\right)+x^{4}-7 x^{3}-7 x^{2}+48 x +36}{x^{2} \ln \left(5\right)+x^{3}-4 x^{2}-20 x -12}}-12 \,{\mathrm e}^{\frac{\left(x^{3}-3 x^{2}\right) \ln \left(5\right)+x^{4}-7 x^{3}-7 x^{2}+48 x +36}{x^{2} \ln \left(5\right)+x^{3}-4 x^{2}-20 x -12}}}{x^{2} \ln \left(5\right)+x^{3}-4 x^{2}-20 x -12}$&$253$\\ \hline \end{longtable}"," ",0,"exp((x^3*ln(5)+x^4-3*x^2*ln(5)-7*x^3-7*x^2+48*x+36)/(x^2*ln(5)+x^3-4*x^2-20*x-12))","B"
7155,1,72,24,0.020000," ","int(((60*x^6-32*x^4+2*x-2)*ln(x)-300*x^12+400*x^10-128*x^8-70*x^7-170*x^6+40*x^5+88*x^4-2*x^2-3*x+6)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)^{2}+\left(10 x^{6}-8 x^{4}+2 x \right) \ln \left(x \right)-25 x^{12}+40 x^{10}-16 x^{8}-10 x^{7}-30 x^{6}+8 x^{5}+24 x^{4}-x^{2}-5 x +6 \ln \left(x \right)$&$72$\\ default&$-25 x^{12}+40 x^{10}-16 x^{8}+10 x^{6} \ln \left(x \right)-30 x^{6}-10 x^{7}-8 x^{4} \ln \left(x \right)+24 x^{4}+8 x^{5}+2 x \ln \left(x \right)-5 x -x^{2}-\ln \left(x \right)^{2}+6 \ln \left(x \right)$&$74$\\ \hline \end{longtable}"," ",0,"-ln(x)^2+(10*x^6-8*x^4+2*x)*ln(x)-25*x^12+40*x^10-16*x^8-10*x^7-30*x^6+8*x^5+24*x^4-x^2-5*x+6*ln(x)","B"
7156,1,25,22,0.024000," ","int(((-81920*x^3-30720*x^2-3840*x-165)*ln(x)-61440*x^4+8320*x^2+1920*x+165)/(ln(x)^2+2*x*ln(x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \left(4096 x^{3}+2048 x^{2}+384 x +33\right) x}{x +\ln \left(x \right)}$&$25$\\ norman&$\frac{165 \ln \left(x \right)-1920 x^{2}-10240 x^{3}-20480 x^{4}}{x +\ln \left(x \right)}$&$28$\\ \hline \end{longtable}"," ",0,"-5*(4096*x^3+2048*x^2+384*x+33)*x/(x+ln(x))","A"
7157,1,27,26,0.065000," ","int(((-x^2-2*x)*exp(x)^2+(-3*x^3-x^2-5*x-9)*exp(x)-10*x^2-20*x-45)/((x^3+x^2)*exp(x)^2+(7*x^3+16*x^2+9*x)*exp(x)+10*x^3+55*x^2+45*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)-\ln \left({\mathrm e}^{x} x +2 x +9\right)+\ln \left(x +1\right)+\ln \left({\mathrm e}^{x}+5\right)$&$27$\\ risch&$-2 \ln \left(x \right)+\ln \left(x +1\right)+\ln \left({\mathrm e}^{x}+5\right)-\ln \left({\mathrm e}^{x}+\frac{2 x +9}{x}\right)$&$30$\\ \hline \end{longtable}"," ",0,"-ln(x)-ln(exp(x)*x+2*x+9)+ln(x+1)+ln(exp(x)+5)","A"
7158,1,39,22,0.038000," ","int((12*x-6)*exp(-x+4)*exp(x^2)*ln(2*ln(2))+(-3*x-12)*exp(-x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 \,{\mathrm e}^{-x +4} \left(-x +4\right)+27 \,{\mathrm e}^{-x +4}+6 \ln \left(2 \ln \left(2\right)\right) {\mathrm e}^{x^{2}-x +4}$&$39$\\ norman&$\left(6 \ln \left(2\right)+6 \ln \left(\ln \left(2\right)\right)\right) {\mathrm e}^{x^{2}} {\mathrm e}^{-x +4}+3 x \,{\mathrm e}^{-x +4}+15 \,{\mathrm e}^{-x +4}$&$40$\\ risch&$6 \,{\mathrm e}^{x^{2}-x +4} \ln \left(2\right)+6 \,{\mathrm e}^{x^{2}-x +4} \ln \left(\ln \left(2\right)\right)+\left(15+3 x \right) {\mathrm e}^{-x +4}$&$41$\\ \hline \end{longtable}"," ",0,"-3*exp(-x+4)*(-x+4)+27*exp(-x+4)+6*ln(2*ln(2))*exp(x^2-x+4)","A"
7159,1,19,22,0.056000," ","int(1/2*((-x-1)*exp(x+16)+1-2*x)*exp(-x*exp(x+16)-x^2+x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{-x \,{\mathrm e}^{x +16}-x^{2}+x +3}}{2}$&$19$\\ risch&$\frac{{\mathrm e}^{-x \,{\mathrm e}^{x +16}-x^{2}+x +3}}{2}$&$19$\\ \hline \end{longtable}"," ",0,"1/2*exp(-x*exp(x+16)-x^2+x+3)","A"
7160,1,21,28,0.062000," ","int(1/5*((8*x^2+65*x-63)*exp(4/5*x^2-7/5*x-7/5)-5)/exp(exp(4/5*x^2-7/5*x-7/5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-x -9\right) {\mathrm e}^{-{\mathrm e}^{\frac{4}{5} x^{2}-\frac{7}{5} x -\frac{7}{5}}}$&$21$\\ risch&$\frac{\left(-5 x -45\right) {\mathrm e}^{-{\mathrm e}^{\frac{4}{5} x^{2}-\frac{7}{5} x -\frac{7}{5}}}}{5}$&$22$\\ \hline \end{longtable}"," ",0,"(-x-9)/exp(exp(4/5*x^2-7/5*x-7/5))","A"
7161,1,19,20,0.039000," ","int(1/2*(-2*exp(ln(x)+4)-6*x*exp(3*x-6)+exp(x)*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{4}-{\mathrm e}^{3 x -6}+\frac{{\mathrm e}^{x}}{2}$&$19$\\ default&$\frac{{\mathrm e}^{x}}{2}-{\mathrm e}^{\ln \left(x \right)+4}-{\mathrm e}^{3 x -6}$&$21$\\ norman&$-x \,{\mathrm e}^{4}-{\mathrm e}^{-6} {\mathrm e}^{3 x}+\frac{{\mathrm e}^{x}}{2}$&$21$\\ \hline \end{longtable}"," ",0,"-x*exp(4)-exp(3*x-6)+1/2*exp(x)","A"
7162,1,8,15,0.015000," ","int(-15/2*ln(5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{15 \ln \left(5\right)}{2 x}$&$8$\\ default&$\frac{15 \ln \left(5\right)}{2 x}$&$8$\\ norman&$\frac{15 \ln \left(5\right)}{2 x}$&$8$\\ risch&$\frac{15 \ln \left(5\right)}{2 x}$&$8$\\ \hline \end{longtable}"," ",0,"15/2*ln(5)/x","A"
7163,1,63,26,0.124000," ","int((((2*x^2-2*x-24)*ln(x^2-8*x+16)+2*x^3+2*x^2-28*x-48)*ln(ln(x^2-8*x+16)+2+x)+((-9*x+18)*exp(2)-x^3-4*x^2+3*x+18)*ln(exp(2)+1/9*x^2+2/3*x+1)+(36*x-72)*exp(2)+4*x^3+16*x^2-12*x-72)/(((9*x-36)*exp(2)+x^3+2*x^2-15*x-36)*ln(x^2-8*x+16)+(9*x^2-18*x-72)*exp(2)+x^4+4*x^3-11*x^2-66*x-72)/ln(ln(x^2-8*x+16)+2+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}^{2}+\frac{x^{2}}{9}+\frac{2 x}{3}+1\right)-4}{\ln \left(2 \ln \left(x -4\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \left(x -4\right)^{2}\right) \left(-\mathrm{csgn}\left(i \left(x -4\right)^{2}\right)+\mathrm{csgn}\left(i \left(x -4\right)\right)\right)^{2}}{2}+2+x \right)}$&$63$\\ \hline \end{longtable}"," ",0,"(ln(exp(2)+1/9*x^2+2/3*x+1)-4)/ln(2*ln(x-4)-1/2*I*Pi*csgn(I*(x-4)^2)*(-csgn(I*(x-4)^2)+csgn(I*(x-4)))^2+2+x)","C"
7164,1,1011,24,0.264000," ","int(((((x^2+4*x+4)*exp(2*x+3)-5*x^2-10*x)*ln(x)+(-2*x^2-8*x-8)*exp(2*x+3)+10*x^2+20*x)*ln(((2+x)*exp(2*x+3)-5*x)/(2+x))^2+((4*x^3+16*x^2+16*x)*exp(2*x+3)-20*x)*ln(x)*ln(((2+x)*exp(2*x+3)-5*x)/(2+x)))/((x^2+4*x+4)*exp(2*x+3)-5*x^2-10*x)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)^{2}}{\ln \left(x \right)^{2}}-\frac{x \left(i \pi  \,\mathrm{csgn}\left(\frac{i}{2+x}\right) \mathrm{csgn}\left(i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{2+x}\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)^{3}+2 \ln \left(2+x \right)\right) \ln \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{\ln \left(x \right)^{2}}+\frac{x \left(-\pi^{2} \mathrm{csgn}\left(\frac{i}{2+x}\right)^{2} \mathrm{csgn}\left(i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(\frac{i}{2+x}\right)^{2} \mathrm{csgn}\left(i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)^{3}-\pi^{2} \mathrm{csgn}\left(\frac{i}{2+x}\right)^{2} \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(\frac{i}{2+x}\right) \mathrm{csgn}\left(i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(\frac{i}{2+x}\right) \mathrm{csgn}\left(i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(\frac{i}{2+x}\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)^{5}-\pi^{2} \mathrm{csgn}\left(i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)^{5}-\pi^{2} \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)^{6}+4 i \ln \left(2+x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{2+x}\right) \mathrm{csgn}\left(i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)-4 i \ln \left(2+x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{2+x}\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)^{2}-4 i \ln \left(2+x \right) \pi  \,\mathrm{csgn}\left(i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)^{2}+4 i \ln \left(2+x \right) \pi  \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{2 x +3}-5\right) x +2 \,{\mathrm e}^{2 x +3}\right)}{2+x}\right)^{3}+4 \ln \left(2+x \right)^{2}\right)}{4 \ln \left(x \right)^{2}}$&$1011$\\ \hline \end{longtable}"," ",0,"x/ln(x)^2*ln((exp(2*x+3)-5)*x+2*exp(2*x+3))^2-x*(I*Pi*csgn(I/(2+x))*csgn(I*((exp(2*x+3)-5)*x+2*exp(2*x+3)))*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))-I*Pi*csgn(I/(2+x))*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^2-I*Pi*csgn(I*((exp(2*x+3)-5)*x+2*exp(2*x+3)))*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^2+I*Pi*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^3+2*ln(2+x))/ln(x)^2*ln((exp(2*x+3)-5)*x+2*exp(2*x+3))+1/4*x*(-Pi^2*csgn(I/(2+x))^2*csgn(I*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^2*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^2+2*Pi^2*csgn(I/(2+x))^2*csgn(I*((exp(2*x+3)-5)*x+2*exp(2*x+3)))*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^3-Pi^2*csgn(I/(2+x))^2*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^4+2*Pi^2*csgn(I/(2+x))*csgn(I*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^2*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^3-4*Pi^2*csgn(I/(2+x))*csgn(I*((exp(2*x+3)-5)*x+2*exp(2*x+3)))*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^4+2*Pi^2*csgn(I/(2+x))*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^5-Pi^2*csgn(I*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^2*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^4+2*Pi^2*csgn(I*((exp(2*x+3)-5)*x+2*exp(2*x+3)))*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^5-Pi^2*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^6+4*I*ln(2+x)*Pi*csgn(I/(2+x))*csgn(I*((exp(2*x+3)-5)*x+2*exp(2*x+3)))*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))-4*I*ln(2+x)*Pi*csgn(I/(2+x))*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^2-4*I*ln(2+x)*Pi*csgn(I*((exp(2*x+3)-5)*x+2*exp(2*x+3)))*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^2+4*I*ln(2+x)*Pi*csgn(I/(2+x)*((exp(2*x+3)-5)*x+2*exp(2*x+3)))^3+4*ln(2+x)^2)/ln(x)^2","C"
7165,1,21,14,0.021000," ","int(((x-2)*ln(x)^2+x*ln(x)-x)*exp(((3+x)*ln(x)+x)/ln(x))/x^3/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{x \ln \left(x \right)+3 \ln \left(x \right)+x}{\ln \left(x \right)}}}{x^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"1/x^2*exp((x*ln(x)+3*ln(x)+x)/ln(x))","A"
7166,1,24,29,0.027000," ","int(((2*exp(x)-8*exp(1/2*x)+2*x-2)*ln(x)+(2*x^2-x)*exp(x)+(-8*x^2+6*x)*exp(1/2*x)+2*x^3-4*x^2+3*x)/(exp(x)*x-4*x*exp(1/2*x)+x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{2}+x^{2}-2 x +\ln \left({\mathrm e}^{x}-4 \,{\mathrm e}^{\frac{x}{2}}+x -1\right)$&$24$\\ \hline \end{longtable}"," ",0,"ln(x)^2+x^2-2*x+ln(exp(x)-4*exp(1/2*x)+x-1)","A"
7167,1,39,34,0.319000," ","int(((((2*x^4-20*x^3+50*x^2)*ln(2)^2+(-4*x^4+40*x^3-100*x^2)*ln(2)+2*x^4-20*x^3+50*x^2)*exp(x^2*ln(2)^2-2*x^2*ln(2)+x^2)-x^2+25)*exp(exp(x^2*ln(2)^2-2*x^2*ln(2)+x^2))-19*x^2+100*x-25)/(x^2*exp(exp(x^2*ln(2)^2-2*x^2*ln(2)+x^2))^2+(4*x^3-2*x^2)*exp(exp(x^2*ln(2)^2-2*x^2*ln(2)+x^2))+4*x^4-4*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}-10 x +25}{x \left(-1+{\mathrm e}^{\left(\frac{1}{4}\right)^{x^{2}} {\mathrm e}^{x^{2} \left(\ln \left(2\right)^{2}+1\right)}}+2 x \right)}$&$39$\\ norman&$\frac{-25+\frac{19 x}{2}+\frac{{\mathrm e}^{{\mathrm e}^{x^{2} \ln \left(2\right)^{2}-2 x^{2} \ln \left(2\right)+x^{2}}} x}{2}}{x \left(-1+{\mathrm e}^{{\mathrm e}^{x^{2} \ln \left(2\right)^{2}-2 x^{2} \ln \left(2\right)+x^{2}}}+2 x \right)}$&$62$\\ \hline \end{longtable}"," ",0,"-(x^2-10*x+25)/x/(-1+exp((1/4)^(x^2)*exp(x^2*(ln(2)^2+1)))+2*x)","A"
7168,1,20,27,0.072000," ","int((28*ln(3)^2+(x^2+14*x-35)*ln(3))/(16*x^2*ln(3)^2+(8*x^3-40*x^2)*ln(3)+x^4-10*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{\left(x +7\right) \ln \left(3\right)}{x \left(-5+4 \ln \left(3\right)+x \right)}$&$20$\\ norman&$\frac{-x \ln \left(3\right)-7 \ln \left(3\right)}{x \left(-5+4 \ln \left(3\right)+x \right)}$&$24$\\ risch&$\frac{-x \ln \left(3\right)-7 \ln \left(3\right)}{x \left(-5+4 \ln \left(3\right)+x \right)}$&$25$\\ default&$\ln \left(3\right) \left(-\frac{7}{\left(-5+4 \ln \left(3\right)\right) x}-\frac{4 \ln \left(3\right)-12}{\left(-5+4 \ln \left(3\right)\right) \left(-5+4 \ln \left(3\right)+x \right)}\right)$&$43$\\ \hline \end{longtable}"," ",0,"-1/x*(x+7)*ln(3)/(-5+4*ln(3)+x)","A"
7169,1,34,20,0.102000," ","int((-2*x*exp(1/6/ln(2))*exp(x)+(x+1)*exp(1/6/ln(2)))/(x*exp(1/6/ln(2))*ln(x)-2*x*exp(1/6/ln(2))*exp(x)+x^2*exp(1/6/ln(2))-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left({\mathrm e}^{\frac{1}{6 \ln \left(2\right)}} \ln \left(x \right)-2 \,{\mathrm e}^{\frac{1}{6 \ln \left(2\right)}} {\mathrm e}^{x}+x \,{\mathrm e}^{\frac{1}{6 \ln \left(2\right)}}-1\right)$&$34$\\ risch&$\ln \left(\ln \left(x \right)-\left({\mathrm e}^{\frac{5}{6 \ln \left(2\right)}}-{\mathrm e}^{\frac{1}{\ln \left(2\right)}} x +2 \,{\mathrm e}^{\frac{x \ln \left(2\right)+1}{\ln \left(2\right)}}\right) {\mathrm e}^{-\frac{1}{\ln \left(2\right)}}\right)$&$44$\\ \hline \end{longtable}"," ",0,"ln(exp(1/6/ln(2))*ln(x)-2*exp(1/6/ln(2))*exp(x)+x*exp(1/6/ln(2))-1)","A"
7170,1,21,24,0.024000," ","int((x^5*ln(x^2)^2+x^5*ln(x^2)-x^2-4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{4} \ln \left(x^{2}\right)^{2}}{4}+\frac{4}{x}-x$&$21$\\ norman&$\frac{\frac{x^{5} \ln \left(x^{2}\right)^{2}}{4}-x^{2}+4}{x}$&$23$\\ risch&$\frac{x^{4} \ln \left(x^{2}\right)^{2}}{4}-\frac{x^{2}-4}{x}$&$23$\\ \hline \end{longtable}"," ",0,"1/4*x^4*ln(x^2)^2+4/x-x","A"
7171,1,13,14,0.021000," ","int(1/15*(-49*x-490)*exp(1)^2/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{49 \,{\mathrm e}^{2} \left(5+x \right)}{15 x^{2}}$&$13$\\ risch&$\frac{{\mathrm e}^{2} \left(245+49 x \right)}{15 x^{2}}$&$13$\\ default&$\frac{49 \,{\mathrm e}^{2} \left(\frac{5}{x^{2}}+\frac{1}{x}\right)}{15}$&$16$\\ norman&$\frac{\frac{49 \,{\mathrm e}^{2}}{3}+\frac{49 \,{\mathrm e}^{2} x}{15}}{x^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"49/15*exp(1)^2*(5+x)/x^2","A"
7172,1,25,23,0.105000," ","int(((250*ln(x)-250)*exp(ln(x)/x)-500*x^3*exp(x^2)+250*x)*exp(exp(ln(x)/x)+exp(x^2))/(125*exp(exp(ln(x)/x)+exp(x^2))^3-1050*x*exp(exp(ln(x)/x)+exp(x^2))^2+2940*x^2*exp(exp(ln(x)/x)+exp(x^2))-2744*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 x^{2}}{\left(14 x -5 \,{\mathrm e}^{x^{\frac{1}{x}}+{\mathrm e}^{x^{2}}}\right)^{2}}$&$25$\\ \hline \end{longtable}"," ",0,"25*x^2/(14*x-5*exp(x^(1/x)+exp(x^2)))^2","A"
7173,1,22,19,0.047000," ","int(1/4*(-15*x^3-21*x^2-1024*x-1024)/x^2/exp(5)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(15 x^{2}+36 x +1024\right) {\mathrm e}^{-x -5}}{4 x}$&$22$\\ gosper&$\frac{\left(15 x^{2}+36 x +1024\right) {\mathrm e}^{-x} {\mathrm e}^{-5}}{4 x}$&$24$\\ default&$\frac{{\mathrm e}^{-5} \left(36 \,{\mathrm e}^{-x}+15 x \,{\mathrm e}^{-x}+\frac{1024 \,{\mathrm e}^{-x}}{x}\right)}{4}$&$30$\\ norman&$\frac{\left(256 \,{\mathrm e}^{-5}+9 x \,{\mathrm e}^{-5}+\frac{15 x^{2} {\mathrm e}^{-5}}{4}\right) {\mathrm e}^{-x}}{x}$&$32$\\ meijerg&$-256 \,{\mathrm e}^{-5} \left(-\frac{1}{x}+1+\frac{-2 x +2}{2 x}-\frac{{\mathrm e}^{-x}}{x}+\expIntegralEi \left(1, x\right)\right)-\frac{15 \,{\mathrm e}^{-5} \left(1-\frac{\left(2 x +2\right) {\mathrm e}^{-x}}{2}\right)}{4}-\frac{21 \,{\mathrm e}^{-5} \left(1-{\mathrm e}^{-x}\right)}{4}+256 \,{\mathrm e}^{-5} \expIntegralEi \left(1, x\right)$&$71$\\ \hline \end{longtable}"," ",0,"1/4*(15*x^2+36*x+1024)/x*exp(-x-5)","A"
7174,1,91,25,0.143000," ","int((160*ln(x)*ln(4*ln(x)^2)+((-160*x-160)*exp(-x+7)^2+(-800*x-1600)*exp(-x+7)-4000)*ln(x)-160)/x^3/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{160 \ln \left(\ln \left(x \right)\right)}{x^{2}}-\frac{40 \left(-i \pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}-50-i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}-2 \,{\mathrm e}^{-2 x +14}+4 \ln \left(2\right)-20 \,{\mathrm e}^{-x +7}\right)}{x^{2}}$&$91$\\ \hline \end{longtable}"," ",0,"-160*ln(ln(x))/x^2-40*(-I*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+2*I*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-50-I*Pi*csgn(I*ln(x)^2)^3-2*exp(-2*x+14)+4*ln(2)-20*exp(-x+7))/x^2","C"
7175,1,17,19,0.048000," ","int(((1-x)*ln(x)-2)/ln(5)/exp(3+x)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \,{\mathrm e}^{-3-x}}{\ln \left(x \right)^{2} \ln \left(5\right)}$&$17$\\ risch&$\frac{x \,{\mathrm e}^{-3-x}}{\ln \left(x \right)^{2} \ln \left(5\right)}$&$17$\\ \hline \end{longtable}"," ",0,"x/ln(x)^2/ln(5)/exp(3+x)","A"
7176,1,59,21,0.084000," ","int((-45000*exp(x)*exp(exp(x))*exp(exp(exp(x)))^2+((15000*ln(3)+12000*x+22500)*exp(x)*exp(exp(x))+12000)*exp(exp(exp(x)))-4000*ln(3)-3200*x-6625)/(810000*exp(exp(exp(x)))^4+(-1080000*ln(3)-864000*x-1620000)*exp(exp(exp(x)))^3+(540000*ln(3)^2+(864000*x+1620000)*ln(3)+345600*x^2+1341000*x+1215000)*exp(exp(exp(x)))^2+(-120000*ln(3)^3+(-288000*x-540000)*ln(3)^2+(-230400*x^2-894000*x-810000)*ln(3)-61440*x^3-369600*x^2-693000*x-405000)*exp(exp(exp(x)))+10000*ln(3)^4+(32000*x+60000)*ln(3)^3+(38400*x^2+149000*x+135000)*ln(3)^2+(20480*x^3+123200*x^2+231000*x+135000)*ln(3)+4096*x^4+33920*x^3+99025*x^2+119250*x+50625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25}{100 \ln \left(3\right)^{2}-600 \ln \left(3\right) {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}+160 x \ln \left(3\right)+900 \,{\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{x}}}-480 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}} x +64 x^{2}+300 \ln \left(3\right)-900 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}+265 x +225}$&$59$\\ \hline \end{longtable}"," ",0,"25/(100*ln(3)^2-600*ln(3)*exp(exp(exp(x)))+160*x*ln(3)+900*exp(2*exp(exp(x)))-480*exp(exp(exp(x)))*x+64*x^2+300*ln(3)-900*exp(exp(exp(x)))+265*x+225)","B"
7177,1,18,19,0.125000," ","int(((-648*x^2-13932)*ln(x^2+43/2)*ln(ln(x^2+43/2))*ln(ln(ln(x^2+43/2)))-1296*x^2)/(2*x^7+43*x^5)/exp(3)/ln(x^2+43/2)/ln(ln(x^2+43/2))/ln(ln(ln(x^2+43/2)))^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{81 \,{\mathrm e}^{-3}}{\ln \left(\ln \left(\ln \left(x^{2}+\frac{43}{2}\right)\right)\right)^{4} x^{4}}$&$18$\\ \hline \end{longtable}"," ",0,"81/ln(ln(ln(x^2+43/2)))^4/x^4*exp(-3)","A"
7178,1,33,17,0.023000," ","int(5*x^4*exp(4)^4+(20*x^4-8*x^3)*exp(4)^2+20*x^4-16*x^3+3*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left({\mathrm e}^{16}+4 \,{\mathrm e}^{8}+4\right) x^{5}+\left(-2 \,{\mathrm e}^{8}-4\right) x^{4}+x^{3}$&$33$\\ risch&$x^{5} {\mathrm e}^{16}+4 \,{\mathrm e}^{8} x^{5}-2 x^{4} {\mathrm e}^{8}+4 x^{5}-4 x^{4}+x^{3}$&$35$\\ gosper&$x^{3} \left(x^{2} {\mathrm e}^{16}+4 x^{2} {\mathrm e}^{8}-2 x \,{\mathrm e}^{8}+4 x^{2}-4 x +1\right)$&$39$\\ default&$x^{5} {\mathrm e}^{16}+{\mathrm e}^{8} \left(4 x^{5}-2 x^{4}\right)+4 x^{5}-4 x^{4}+x^{3}$&$39$\\ \hline \end{longtable}"," ",0,"(exp(4)^4+4*exp(4)^2+4)*x^5+(-2*exp(4)^2-4)*x^4+x^3","A"
7179,1,21,23,0.156000," ","int(((((-x^2+x)*exp(2*ln(2)+5-x)+x*exp(4))*ln(x)+x*exp(2*ln(2)+5-x)+x*exp(4))*exp((x*exp(2*ln(2)+5-x)+x*exp(4))*ln(x))-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\left({\mathrm e}^{4}+4 \,{\mathrm e}^{5-x}\right) x}-\ln \left(x \right)$&$21$\\ default&${\mathrm e}^{\left(x \,{\mathrm e}^{2 \ln \left(2\right)+5-x}+x \,{\mathrm e}^{4}\right) \ln \left(x \right)}-\ln \left(x \right)$&$27$\\ \hline \end{longtable}"," ",0,"x^((exp(4)+4*exp(5-x))*x)-ln(x)","A"
7180,1,19,19,0.070000," ","int(((8*exp(x)+16*ln(2)+8*x)*ln(exp(x)+x+2*ln(2))^2+(4*exp(x)+4*x+8*ln(2))*ln(exp(x)+x+2*ln(2))-4*exp(x)*x-4*x)/(exp(x)+x+2*ln(2))/ln(exp(x)+x+2*ln(2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$8 x +\frac{4 x}{\ln \left({\mathrm e}^{x}+x +2 \ln \left(2\right)\right)}$&$19$\\ norman&$\frac{4 x +8 \ln \left({\mathrm e}^{x}+x +2 \ln \left(2\right)\right) x}{\ln \left({\mathrm e}^{x}+x +2 \ln \left(2\right)\right)}$&$29$\\ \hline \end{longtable}"," ",0,"8*x+4*x/ln(exp(x)+x+2*ln(2))","A"
7181,1,35,19,0.028000," ","int((4*ln(2)+3*x^2+6*x-13)*exp(x)+4*exp(1)*ln(2)+(9*x^2-13)*exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(4 \ln \left(2\right)+3 x^{2}-13\right) {\mathrm e}^{x}+4 x \,{\mathrm e} \ln \left(2\right)+3 x^{3} {\mathrm e}-13 x \,{\mathrm e}$&$35$\\ default&$3 \,{\mathrm e}^{x} x^{2}+4 \,{\mathrm e}^{x} \ln \left(2\right)-13 \,{\mathrm e}^{x}+{\mathrm e} \left(3 x^{3}-13 x \right)+4 x \,{\mathrm e} \ln \left(2\right)$&$38$\\ norman&$\left(4 \,{\mathrm e} \ln \left(2\right)-13 \,{\mathrm e}\right) x +\left(4 \ln \left(2\right)-13\right) {\mathrm e}^{x}+3 x^{3} {\mathrm e}+3 \,{\mathrm e}^{x} x^{2}$&$38$\\ \hline \end{longtable}"," ",0,"(4*ln(2)+3*x^2-13)*exp(x)+4*x*exp(1)*ln(2)+3*x^3*exp(1)-13*x*exp(1)","A"
7182,1,11,18,0.020000," ","int((-2*x*ln(3)+8*x)*exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\left(-4+\ln \left(3\right)\right) {\mathrm e}^{x^{2}}$&$11$\\ norman&$\left(-\ln \left(3\right)+4\right) {\mathrm e}^{x^{2}}$&$12$\\ default&$4 \,{\mathrm e}^{x^{2}}-\ln \left(3\right) {\mathrm e}^{x^{2}}$&$16$\\ risch&$4 \,{\mathrm e}^{x^{2}}-\ln \left(3\right) {\mathrm e}^{x^{2}}$&$16$\\ meijerg&$-\frac{\left(-2 \ln \left(3\right)+8\right) \left(1-{\mathrm e}^{x^{2}}\right)}{2}$&$17$\\ \hline \end{longtable}"," ",0,"-(-4+ln(3))*exp(x^2)","A"
7183,1,19,18,0.069000," ","int((8*exp(x)-4*x^2-8*x-24)/((2*exp(x)-2*x^2-12)*ln(-3*exp(x)+3*x^2+18)+(2*x-13)*exp(x)-2*x^3+13*x^2-12*x+78),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x -\frac{13}{2}+\ln \left(-3 \,{\mathrm e}^{x}+3 x^{2}+18\right)\right)$&$19$\\ norman&$2 \ln \left(2 \ln \left(-3 \,{\mathrm e}^{x}+3 x^{2}+18\right)+2 x -13\right)$&$23$\\ \hline \end{longtable}"," ",0,"2*ln(x-13/2+ln(-3*exp(x)+3*x^2+18))","A"
7184,1,25,15,0.021000," ","int((-ln(x)^2-6*ln(x)+4*x^2+4*x-89)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{97+\ln \left(x \right)^{2}+4 x \ln \left(x \right)+4 x^{2}+8 \ln \left(x \right)}{x}$&$25$\\ default&$\frac{\ln \left(x \right)^{2}}{x}+\frac{8 \ln \left(x \right)}{x}+\frac{97}{x}+4 x +4 \ln \left(x \right)$&$29$\\ risch&$\frac{\ln \left(x \right)^{2}}{x}+\frac{8 \ln \left(x \right)}{x}+\frac{4 x \ln \left(x \right)+4 x^{2}+97}{x}$&$33$\\ \hline \end{longtable}"," ",0,"(97+ln(x)^2+4*x*ln(x)+4*x^2+8*ln(x))/x","A"
7185,1,14,15,0.029000," ","int((-3*x*ln(x)+50*x^3+200*x^2+203*x+6)/(30*x^3+120*x^2+120*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{10 x +20}+\frac{5 x}{3}$&$14$\\ norman&$\frac{\frac{\ln \left(x \right)}{10}+\frac{5 x^{2}}{3}-\frac{20}{3}}{2+x}$&$18$\\ default&$\frac{5 x}{3}+\frac{\ln \left(x \right)}{20}-\frac{\ln \left(x \right) x}{20 \left(2+x \right)}$&$19$\\ \hline \end{longtable}"," ",0,"1/10*ln(x)/(2+x)+5/3*x","A"
7186,1,23,32,0.198000," ","int((((-3*x^5+6*x^4-18*x^3+30*x^2-15*x)*ln(2)-3*x^6+6*x^5+27*x^4-60*x^3-45*x^2+150*x-75)*exp(-x*ln(2)/(x^2-5))+12*x^4-120*x^2+300)/(4*x^6-8*x^5-36*x^4+80*x^3+60*x^2-200*x+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3}{x -1}-\frac{3 \left(\frac{1}{2}\right)^{\frac{x}{x^{2}-5}} x}{4}$&$23$\\ norman&$\frac{-3 x^{2}+15-\frac{15 \,{\mathrm e}^{-\frac{x \ln \left(2\right)}{x^{2}-5}} x}{4}+\frac{15 \,{\mathrm e}^{-\frac{x \ln \left(2\right)}{x^{2}-5}} x^{2}}{4}+\frac{3 \,{\mathrm e}^{-\frac{x \ln \left(2\right)}{x^{2}-5}} x^{3}}{4}-\frac{3 \,{\mathrm e}^{-\frac{x \ln \left(2\right)}{x^{2}-5}} x^{4}}{4}}{x^{3}-x^{2}-5 x +5}$&$94$\\ \hline \end{longtable}"," ",0,"-3/(x-1)-3/4*(1/2)^(x/(x^2-5))*x","A"
7187,1,18,21,0.074000," ","int((-2*ln(5)-x^3+2*x^2)/x^2/exp((-x^2*ln(x)-ln(5)+x^3+5*x^2)/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} 5^{\frac{1}{x^{2}}} {\mathrm e}^{-x -5}$&$18$\\ gosper&$x \,{\mathrm e}^{\frac{x^{2} \ln \left(x \right)-x^{3}-5 x^{2}+\ln \left(5\right)}{x^{2}}}$&$30$\\ norman&$x \,{\mathrm e}^{-\frac{-x^{2} \ln \left(x \right)-\ln \left(5\right)+x^{3}+5 x^{2}}{x^{2}}}$&$30$\\ meijerg&$-2 \,5^{1+\frac{1}{x^{2}}} {\mathrm e}^{4 x -5} x \ln \left(5\right) \left(-\frac{1}{5 x}+1-\ln \left(5\right)-\ln \left(x \right)+\frac{2-10 x}{10 x}-\frac{{\mathrm e}^{-5 x}}{5 x}+\ln \left(5 x \right)+\expIntegralEi \left(1, 5 x \right)\right)-5^{-2+\frac{1}{x^{2}}} {\mathrm e}^{4 x -5} x \left(1-\frac{\left(10 x +2\right) {\mathrm e}^{-5 x}}{2}\right)+2 \,5^{-1+\frac{1}{x^{2}}} {\mathrm e}^{4 x -5} x \left(1-{\mathrm e}^{-5 x}\right)$&$116$\\ \hline \end{longtable}"," ",0,"x^2/((1/5)^(1/x^2))*exp(-x-5)","A"
7188,1,74,18,0.141000," ","int(((48*x*exp(1)-16*x+48)*ln(3*x*exp(1)-x+4)^3+(432*x*exp(1)-144*x+432)*ln(x)*ln(3*x*exp(1)-x+4)^2+(1296*x*exp(1)-432*x+1296)*ln(x)^2*ln(3*x*exp(1)-x+4)+(1296*x*exp(1)-432*x+1296)*ln(x)^3)/(3*x^2*exp(1)-x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$81 \ln \left(x \right)^{4}+108 \ln \left(x \right)^{3} \ln \left(3 x \,{\mathrm e}-x +4\right)+54 \ln \left(x \right)^{2} \ln \left(3 x \,{\mathrm e}-x +4\right)^{2}+12 \ln \left(x \right) \ln \left(3 x \,{\mathrm e}-x +4\right)^{3}+\ln \left(3 x \,{\mathrm e}-x +4\right)^{4}$&$74$\\ \hline \end{longtable}"," ",0,"81*ln(x)^4+108*ln(x)^3*ln(3*x*exp(1)-x+4)+54*ln(x)^2*ln(3*x*exp(1)-x+4)^2+12*ln(x)*ln(3*x*exp(1)-x+4)^3+ln(3*x*exp(1)-x+4)^4","B"
7189,1,32,27,0.157000," ","int((-3*ln(x)^2+(4*x^2-22*x+18)*ln(x)+8*x^3-48*x^2+76*x-48)*exp((x*ln(x)^2+(4*x^2-8*x)*ln(x)+4*x^3-15*x^2+21*x)/(x-3))/(x^2-6*x+9)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \left(\ln \left(x \right)^{2}+4 x \ln \left(x \right)+4 x^{2}-8 \ln \left(x \right)-16 x +24\right)}{x -3}}$&$32$\\ \hline \end{longtable}"," ",0,"exp(x*(ln(x)^2+4*x*ln(x)+4*x^2-8*ln(x)-16*x+24)/(x-3))","A"
7190,1,13,13,0.040000," ","int((20*x*exp(20*x)+1)*exp(exp(20*x)+ln(2)+exp(3)-10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{{\mathrm e}^{20 x}-10+{\mathrm e}^{3}} x$&$13$\\ norman&${\mathrm e}^{{\mathrm e}^{20 x}+\ln \left(2\right)+{\mathrm e}^{3}-10} x$&$14$\\ \hline \end{longtable}"," ",0,"2*exp(exp(20*x)-10+exp(3))*x","A"
7191,1,27,21,0.027000," ","int(((-x^2-x+5)*exp(1)^8*exp(x)+1)/exp(1)^8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-8} x +\left(-x^{2} {\mathrm e}^{8}+x \,{\mathrm e}^{8}+4 \,{\mathrm e}^{8}\right) {\mathrm e}^{-8+x}$&$27$\\ default&${\mathrm e}^{-8} \left(x +{\mathrm e}^{8} \left({\mathrm e}^{x} x +4 \,{\mathrm e}^{x}-{\mathrm e}^{x} x^{2}\right)\right)$&$29$\\ norman&$\left({\mathrm e}^{-1} x +{\mathrm e}^{7} x \,{\mathrm e}^{x}+4 \,{\mathrm e}^{7} {\mathrm e}^{x}-{\mathrm e}^{7} x^{2} {\mathrm e}^{x}\right) {\mathrm e}^{-7}$&$40$\\ \hline \end{longtable}"," ",0,"exp(-8)*x+(-x^2*exp(8)+x*exp(8)+4*exp(8))*exp(-8+x)","A"
7192,1,22,14,0.033000," ","int((x^3-6)*exp(3/5)^2/(x^4-4*x^3+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \,{\mathrm e}^{\frac{6}{5}} \ln \left(x \right)+{\mathrm e}^{\frac{6}{5}} \ln \left(x^{3}-4 x^{2}+3\right)$&$22$\\ default&${\mathrm e}^{\frac{6}{5}} \left(-2 \ln \left(x \right)+\ln \left(x -1\right)+\ln \left(x^{2}-3 x -3\right)\right)$&$24$\\ norman&${\mathrm e}^{\frac{6}{5}} \ln \left(x -1\right)+{\mathrm e}^{\frac{6}{5}} \ln \left(x^{2}-3 x -3\right)-2 \,{\mathrm e}^{\frac{6}{5}} \ln \left(x \right)$&$33$\\ \hline \end{longtable}"," ",0,"-2*exp(6/5)*ln(x)+exp(6/5)*ln(x^3-4*x^2+3)","A"
7193,1,20,20,0.020000," ","int(-8*exp(3/(exp(3)+5))^2+32*x-240,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-8 x \left({\mathrm e}^{\frac{6}{{\mathrm e}^{3}+5}}-2 x +30\right)$&$20$\\ norman&$\left(-8 \,{\mathrm e}^{\frac{6}{{\mathrm e}^{3}+5}}-240\right) x +16 x^{2}$&$22$\\ risch&$-8 \,{\mathrm e}^{\frac{6}{{\mathrm e}^{3}+5}} x +16 x^{2}-240 x$&$22$\\ default&$-8 \,{\mathrm e}^{\frac{6}{{\mathrm e}^{3}+5}} x +16 x^{2}-240 x$&$24$\\ \hline \end{longtable}"," ",0,"-8*x*(exp(3/(exp(3)+5))^2-2*x+30)","A"
7194,1,50,26,0.043000," ","int((((8*exp(x)*x+8*x^2+24)*ln(exp(x)*x+x^2+3)+(32*x+32)*exp(x)+64*x)*ln((2*ln(3)-1)*ln(exp(x)*x+x^2+3))+(x*exp(x)^2+(3*x^2+3)*exp(x)+2*x^3+6*x)*ln(exp(x)*x+x^2+3)+(8*x^2+8*x)*exp(x)+16*x^2)/(exp(x)*x+x^2+3)/ln(exp(x)*x+x^2+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+8 \ln \left(\left(2 \ln \left(3\right)-1\right) \ln \left({\mathrm e}^{x} x +x^{2}+3\right)\right) x +16 \ln \left(\left(2 \ln \left(3\right)-1\right) \ln \left({\mathrm e}^{x} x +x^{2}+3\right)\right)^{2}+{\mathrm e}^{x}$&$50$\\ \hline \end{longtable}"," ",0,"x^2+8*ln((2*ln(3)-1)*ln(exp(x)*x+x^2+3))*x+16*ln((2*ln(3)-1)*ln(exp(x)*x+x^2+3))^2+exp(x)","A"
7195,0,0,27,0.084000," ","int(((2*x^2*exp(5)+2*x^3)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))^3+(-6*x^3*exp(5)-6*x^4)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))^2+(6*x^4*exp(5)+6*x^5)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))+((-2*x^5-6*x)*exp(5)-2*x^6-6*x^2-6*x)*ln(2/x)-6*exp(5)-6*x)/((x*exp(5)+x^2)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))^3+(-3*x^2*exp(5)-3*x^3)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))^2+(3*x^3*exp(5)+3*x^4)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))+(-x^4*exp(5)-x^5)*ln(2/x)),x)","\[\int \frac{\left(2 x^{2} {\mathrm e}^{5}+2 x^{3}\right) \ln \left(\frac{2}{x}\right) \ln \left(\frac{5 \ln \left(\frac{2}{x}\right)}{{\mathrm e}^{5}+x}\right)^{3}+\left(-6 x^{3} {\mathrm e}^{5}-6 x^{4}\right) \ln \left(\frac{2}{x}\right) \ln \left(\frac{5 \ln \left(\frac{2}{x}\right)}{{\mathrm e}^{5}+x}\right)^{2}+\left(6 x^{4} {\mathrm e}^{5}+6 x^{5}\right) \ln \left(\frac{2}{x}\right) \ln \left(\frac{5 \ln \left(\frac{2}{x}\right)}{{\mathrm e}^{5}+x}\right)+\left(\left(-2 x^{5}-6 x \right) {\mathrm e}^{5}-2 x^{6}-6 x^{2}-6 x \right) \ln \left(\frac{2}{x}\right)-6 \,{\mathrm e}^{5}-6 x}{\left(x \,{\mathrm e}^{5}+x^{2}\right) \ln \left(\frac{2}{x}\right) \ln \left(\frac{5 \ln \left(\frac{2}{x}\right)}{{\mathrm e}^{5}+x}\right)^{3}+\left(-3 x^{2} {\mathrm e}^{5}-3 x^{3}\right) \ln \left(\frac{2}{x}\right) \ln \left(\frac{5 \ln \left(\frac{2}{x}\right)}{{\mathrm e}^{5}+x}\right)^{2}+\left(3 x^{3} {\mathrm e}^{5}+3 x^{4}\right) \ln \left(\frac{2}{x}\right) \ln \left(\frac{5 \ln \left(\frac{2}{x}\right)}{{\mathrm e}^{5}+x}\right)+\left(-x^{4} {\mathrm e}^{5}-x^{5}\right) \ln \left(\frac{2}{x}\right)}\, dx\]"," ",0,"int(((2*x^2*exp(5)+2*x^3)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))^3+(-6*x^3*exp(5)-6*x^4)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))^2+(6*x^4*exp(5)+6*x^5)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))+((-2*x^5-6*x)*exp(5)-2*x^6-6*x^2-6*x)*ln(2/x)-6*exp(5)-6*x)/((x*exp(5)+x^2)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))^3+(-3*x^2*exp(5)-3*x^3)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))^2+(3*x^3*exp(5)+3*x^4)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))+(-x^4*exp(5)-x^5)*ln(2/x)),x)","F"
7196,0,0,24,0.125000," ","int(((((x-1)*exp(5)+x^2+2*x-3)*exp(x)*ln(exp(5)+3+x)+((-x^2-x)*exp(5)-x^3-4*x^2-x)*exp(x))*exp(ln(ln(exp(5)+3+x)^2-2*x*ln(exp(5)+3+x)+x^2)-1)+((x-1)*exp(5)+x^2+2*x-3)*exp(x)*ln(exp(5)+3+x)+((-x^2+x)*exp(5)-x^3-2*x^2+3*x)*exp(x))/((x^2*exp(5)+x^3+3*x^2)*ln(exp(5)+3+x)-x^3*exp(5)-x^4-3*x^3),x)","\[\int \frac{\left(\left(\left(x -1\right) {\mathrm e}^{5}+x^{2}+2 x -3\right) {\mathrm e}^{x} \ln \left({\mathrm e}^{5}+3+x \right)+\left(\left(-x^{2}-x \right) {\mathrm e}^{5}-x^{3}-4 x^{2}-x \right) {\mathrm e}^{x}\right) {\mathrm e}^{\ln \left(\ln \left({\mathrm e}^{5}+3+x \right)^{2}-2 x \ln \left({\mathrm e}^{5}+3+x \right)+x^{2}\right)-1}+\left(\left(x -1\right) {\mathrm e}^{5}+x^{2}+2 x -3\right) {\mathrm e}^{x} \ln \left({\mathrm e}^{5}+3+x \right)+\left(\left(-x^{2}+x \right) {\mathrm e}^{5}-x^{3}-2 x^{2}+3 x \right) {\mathrm e}^{x}}{\left(x^{2} {\mathrm e}^{5}+x^{3}+3 x^{2}\right) \ln \left({\mathrm e}^{5}+3+x \right)-x^{3} {\mathrm e}^{5}-x^{4}-3 x^{3}}\, dx\]"," ",0,"int(((((x-1)*exp(5)+x^2+2*x-3)*exp(x)*ln(exp(5)+3+x)+((-x^2-x)*exp(5)-x^3-4*x^2-x)*exp(x))*exp(ln(ln(exp(5)+3+x)^2-2*x*ln(exp(5)+3+x)+x^2)-1)+((x-1)*exp(5)+x^2+2*x-3)*exp(x)*ln(exp(5)+3+x)+((-x^2+x)*exp(5)-x^3-2*x^2+3*x)*exp(x))/((x^2*exp(5)+x^3+3*x^2)*ln(exp(5)+3+x)-x^3*exp(5)-x^4-3*x^3),x)","F"
7197,1,25,18,0.058000," ","int((36*x^3*exp(9*x^2)+2*x)*exp(exp(9*x^2))^2-3*x^2+10*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2} {\mathrm e}^{2 \,{\mathrm e}^{9 x^{2}}}+5 x^{2}-x^{3}$&$25$\\ norman&$x^{2} {\mathrm e}^{2 \,{\mathrm e}^{9 x^{2}}}+5 x^{2}-x^{3}$&$25$\\ risch&$x^{2} {\mathrm e}^{2 \,{\mathrm e}^{9 x^{2}}}+5 x^{2}-x^{3}$&$25$\\ \hline \end{longtable}"," ",0,"x^2*exp(exp(9*x^2))^2+5*x^2-x^3","A"
7198,1,209,29,0.116000," ","int((((2*(-4*x^3-2*x)*ln(2)+16*x^3+8*x)*exp(x^2)+4*(-2*x+2)*ln(2)^2+2*(12*x-16)*ln(2)-16*x+32)*ln(x)+(4*x^4+2*x^2)*exp(x^2)^2+(2*(4*x^4+8*x^3+4*x^2+2*x)*ln(2)-8*x^4-32*x^3-8*x^2-8*x)*exp(x^2)+4*(2*x^2+2*x-4)*ln(2)^2+2*(-8*x^2-12*x+32)*ln(2)+8*x^2+16*x-64)/(4*x*ln(2)^2-16*x*ln(2)+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{2}-\frac{x \left(2 \ln \left(2\right)+{\mathrm e}^{x^{2}}-2\right) \ln \left(x \right)}{\ln \left(2\right)-2}+\frac{\ln \left(2\right)^{2} x^{2}}{\left(\ln \left(2\right)-2\right)^{2}}+\frac{x^{2} {\mathrm e}^{x^{2}} \ln \left(2\right)}{\left(\ln \left(2\right)-2\right)^{2}}-\frac{4 \ln \left(x \right) \ln \left(2\right)^{2}}{\left(\ln \left(2\right)-2\right)^{2}}+\frac{4 x \ln \left(2\right)^{2}}{\left(\ln \left(2\right)-2\right)^{2}}+\frac{2 x \,{\mathrm e}^{x^{2}} \ln \left(2\right)}{\left(\ln \left(2\right)-2\right)^{2}}-\frac{2 x^{2} \ln \left(2\right)}{\left(\ln \left(2\right)-2\right)^{2}}-\frac{x^{2} {\mathrm e}^{x^{2}}}{\left(\ln \left(2\right)-2\right)^{2}}+\frac{x^{2} {\mathrm e}^{2 x^{2}}}{4 \left(\ln \left(2\right)-2\right)^{2}}+\frac{16 \ln \left(x \right) \ln \left(2\right)}{\left(\ln \left(2\right)-2\right)^{2}}-\frac{12 x \ln \left(2\right)}{\left(\ln \left(2\right)-2\right)^{2}}-\frac{4 x \,{\mathrm e}^{x^{2}}}{\left(\ln \left(2\right)-2\right)^{2}}+\frac{x^{2}}{\left(\ln \left(2\right)-2\right)^{2}}-\frac{16 \ln \left(x \right)}{\left(\ln \left(2\right)-2\right)^{2}}+\frac{8 x}{\left(\ln \left(2\right)-2\right)^{2}}$&$209$\\ default&$-\frac{x \,{\mathrm e}^{x^{2}} \ln \left(x \right) \ln \left(2\right)}{\left(\ln \left(2\right)-2\right)^{2}}+\frac{x^{2} {\mathrm e}^{x^{2}} \ln \left(2\right)}{\left(\ln \left(2\right)-2\right)^{2}}+\frac{2 x \,{\mathrm e}^{x^{2}} \ln \left(2\right)}{\left(\ln \left(2\right)-2\right)^{2}}+\frac{2 x \,{\mathrm e}^{x^{2}} \ln \left(x \right)}{\left(\ln \left(2\right)-2\right)^{2}}-\frac{x^{2} {\mathrm e}^{x^{2}}}{\left(\ln \left(2\right)-2\right)^{2}}-\frac{4 x \,{\mathrm e}^{x^{2}}}{\left(\ln \left(2\right)-2\right)^{2}}+\frac{\ln \left(2\right)^{2} x^{2}}{\ln \left(2\right)^{2}-4 \ln \left(2\right)+4}+\frac{2 x \ln \left(2\right)^{2}}{\ln \left(2\right)^{2}-4 \ln \left(2\right)+4}-\frac{2 x^{2} \ln \left(2\right)}{\ln \left(2\right)^{2}-4 \ln \left(2\right)+4}-\frac{6 x \ln \left(2\right)}{\ln \left(2\right)^{2}-4 \ln \left(2\right)+4}+\frac{x^{2}}{\ln \left(2\right)^{2}-4 \ln \left(2\right)+4}+\frac{4 x}{\ln \left(2\right)^{2}-4 \ln \left(2\right)+4}-\frac{4 \ln \left(2\right)^{2} \ln \left(x \right)}{\ln \left(2\right)^{2}-4 \ln \left(2\right)+4}+\frac{16 \ln \left(2\right) \ln \left(x \right)}{\ln \left(2\right)^{2}-4 \ln \left(2\right)+4}-\frac{16 \ln \left(x \right)}{\ln \left(2\right)^{2}-4 \ln \left(2\right)+4}+\frac{x^{2} {\mathrm e}^{2 x^{2}}}{4 \ln \left(2\right)^{2}-16 \ln \left(2\right)+16}-\frac{2 \ln \left(2\right) \ln \left(x \right) x}{\ln \left(2\right)-2}+\frac{2 x \ln \left(2\right)}{\ln \left(2\right)-2}+\frac{\ln \left(x \right)^{2} \ln \left(2\right)}{\ln \left(2\right)-2}+\frac{2 x \ln \left(x \right)}{\ln \left(2\right)-2}-\frac{2 x}{\ln \left(2\right)-2}-\frac{2 \ln \left(x \right)^{2}}{\ln \left(2\right)-2}$&$345$\\ \hline \end{longtable}"," ",0,"ln(x)^2-x*(2*ln(2)+exp(x^2)-2)/(ln(2)-2)*ln(x)+1/(ln(2)-2)^2*ln(2)^2*x^2+1/(ln(2)-2)^2*x^2*exp(x^2)*ln(2)-4/(ln(2)-2)^2*ln(x)*ln(2)^2+4/(ln(2)-2)^2*x*ln(2)^2+2/(ln(2)-2)^2*x*exp(x^2)*ln(2)-2/(ln(2)-2)^2*x^2*ln(2)-1/(ln(2)-2)^2*x^2*exp(x^2)+1/4/(ln(2)-2)^2*x^2*exp(2*x^2)+16/(ln(2)-2)^2*ln(x)*ln(2)-12/(ln(2)-2)^2*x*ln(2)-4/(ln(2)-2)^2*x*exp(x^2)+1/(ln(2)-2)^2*x^2-16/(ln(2)-2)^2*ln(x)+8/(ln(2)-2)^2*x","B"
7199,1,19,23,0.148000," ","int((2*x^5+8*x^4+16*x^3+24*x^2)/(x^2+4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{3} \left(x^{2}+2 x +8\right)}{2 x +4}$&$19$\\ norman&$\frac{x^{4}+4 x^{3}+\frac{1}{2} x^{5}}{2+x}$&$21$\\ default&$\frac{x^{4}}{2}+4 x^{2}-8 x -\frac{32}{2+x}$&$22$\\ risch&$\frac{x^{4}}{2}+4 x^{2}-8 x -\frac{32}{2+x}$&$22$\\ meijerg&$-\frac{4 x \left(-\frac{3}{16} x^{4}+\frac{5}{8} x^{3}-\frac{5}{2} x^{2}+15 x +60\right)}{3 \left(1+\frac{x}{2}\right)}+\frac{32 x \left(\frac{5}{8} x^{3}-\frac{5}{2} x^{2}+15 x +60\right)}{15 \left(1+\frac{x}{2}\right)}-\frac{8 x \left(-\frac{1}{2} x^{2}+3 x +12\right)}{1+\frac{x}{2}}+\frac{8 x \left(\frac{3 x}{2}+6\right)}{1+\frac{x}{2}}$&$92$\\ \hline \end{longtable}"," ",0,"1/2*x^3*(x^2+2*x+8)/(2+x)","A"
7200,1,13,26,0.126000," ","int((2*exp(5)+x)/(x*exp(5)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x \right)-\ln \left({\mathrm e}^{5}+x \right)$&$13$\\ norman&$2 \ln \left(x \right)-\ln \left({\mathrm e}^{5}+x \right)$&$13$\\ risch&$2 \ln \left(x \right)-\ln \left({\mathrm e}^{5}+x \right)$&$13$\\ meijerg&$2 \ln \left(x \right)-10-\ln \left(1+x \,{\mathrm e}^{-5}\right)$&$16$\\ \hline \end{longtable}"," ",0,"2*ln(x)-ln(exp(5)+x)","A"
7201,1,16,20,0.132000," ","int(((5*x^2-4)*exp(ln(5*x/(20*x^2+16))-4)+(5*x^3+4*x)*exp(x))/(5*x^3+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{{\mathrm e}^{-4} x}{4 \left(x^{2}+\frac{4}{5}\right)}+{\mathrm e}^{x}$&$16$\\ norman&$\frac{-\frac{5 \,{\mathrm e}^{-4} x}{4}+5 \,{\mathrm e}^{x} x^{2}+4 \,{\mathrm e}^{x}}{5 x^{2}+4}$&$30$\\ \hline \end{longtable}"," ",0,"-1/4*exp(-4)*x/(x^2+4/5)+exp(x)","A"
7202,1,751,29,0.346000," ","int((((32*x^6-336*x^5+1200*x^4-1000*x^3-3750*x^2+9375*x-6250)*ln(2+x)-32*x^7+336*x^6-1200*x^5+1002*x^4+3749*x^3-9385*x^2+6250*x)*ln(((-16*x^4+160*x^3-600*x^2+1000*x-625)*ln(2+x)+16*x^5-160*x^4+600*x^3-1001*x^2+625*x)/(16*x^4-160*x^3+600*x^2-1000*x+625))+(-32*x^7+304*x^6-864*x^5-200*x^4+4750*x^3-5625*x^2-3125*x+6250)*ln(2+x)+32*x^8-304*x^7+832*x^6+566*x^5-6351*x^4+8632*x^3+1867*x^2-9395*x+3125)/(((32*x^6-336*x^5+1200*x^4-1000*x^3-3750*x^2+9375*x-6250)*ln(2+x)-32*x^7+336*x^6-1200*x^5+1002*x^4+3749*x^3-9385*x^2+6250*x)*ln(((-16*x^4+160*x^3-600*x^2+1000*x-625)*ln(2+x)+16*x^5-160*x^4+600*x^3-1001*x^2+625*x)/(16*x^4-160*x^3+600*x^2-1000*x+625))+(-32*x^7+336*x^6-1200*x^5+1000*x^4+3750*x^3-9375*x^2+6250*x)*ln(2+x)+32*x^8-336*x^7+1200*x^6-1002*x^5-3749*x^4+9385*x^3-6250*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(\ln \left(x^{5}+\left(-\ln \left(2+x \right)-10\right) x^{4}+\left(10 \ln \left(2+x \right)+\frac{75}{2}\right) x^{3}+\left(-\frac{75 \ln \left(2+x \right)}{2}-\frac{1001}{16}\right) x^{2}+\left(\frac{125 \ln \left(2+x \right)}{2}+\frac{625}{16}\right) x -\frac{625 \ln \left(2+x \right)}{16}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{\left(x -\frac{5}{2}\right)^{4}}\right) \mathrm{csgn}\left(i \left(-x^{5}-\left(-\ln \left(2+x \right)-10\right) x^{4}-\left(10 \ln \left(2+x \right)+\frac{75}{2}\right) x^{3}-\left(-\frac{75 \ln \left(2+x \right)}{2}-\frac{1001}{16}\right) x^{2}-\left(\frac{125 \ln \left(2+x \right)}{2}+\frac{625}{16}\right) x +\frac{625 \ln \left(2+x \right)}{16}\right)\right) \mathrm{csgn}\left(\frac{i \left(-x^{5}-\left(-\ln \left(2+x \right)-10\right) x^{4}-\left(10 \ln \left(2+x \right)+\frac{75}{2}\right) x^{3}-\left(-\frac{75 \ln \left(2+x \right)}{2}-\frac{1001}{16}\right) x^{2}-\left(\frac{125 \ln \left(2+x \right)}{2}+\frac{625}{16}\right) x +\frac{625 \ln \left(2+x \right)}{16}\right)}{\left(x -\frac{5}{2}\right)^{4}}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{\left(x -\frac{5}{2}\right)^{4}}\right) \mathrm{csgn}\left(\frac{i \left(-x^{5}-\left(-\ln \left(2+x \right)-10\right) x^{4}-\left(10 \ln \left(2+x \right)+\frac{75}{2}\right) x^{3}-\left(-\frac{75 \ln \left(2+x \right)}{2}-\frac{1001}{16}\right) x^{2}-\left(\frac{125 \ln \left(2+x \right)}{2}+\frac{625}{16}\right) x +\frac{625 \ln \left(2+x \right)}{16}\right)}{\left(x -\frac{5}{2}\right)^{4}}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)\right) \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{2}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)\right) \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{2}\right) \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{3}\right)+\pi  \,\mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)\right) \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{3}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)\right) \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{3}\right) \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{4}\right)+\pi  \,\mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)\right) \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{4}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{2}\right) \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{3}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{3}\right)^{3}+\pi  \,\mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{3}\right) \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{4}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{4}\right)^{3}+\pi  \,\mathrm{csgn}\left(i \left(-x^{5}-\left(-\ln \left(2+x \right)-10\right) x^{4}-\left(10 \ln \left(2+x \right)+\frac{75}{2}\right) x^{3}-\left(-\frac{75 \ln \left(2+x \right)}{2}-\frac{1001}{16}\right) x^{2}-\left(\frac{125 \ln \left(2+x \right)}{2}+\frac{625}{16}\right) x +\frac{625 \ln \left(2+x \right)}{16}\right)\right) \mathrm{csgn}\left(\frac{i \left(-x^{5}-\left(-\ln \left(2+x \right)-10\right) x^{4}-\left(10 \ln \left(2+x \right)+\frac{75}{2}\right) x^{3}-\left(-\frac{75 \ln \left(2+x \right)}{2}-\frac{1001}{16}\right) x^{2}-\left(\frac{125 \ln \left(2+x \right)}{2}+\frac{625}{16}\right) x +\frac{625 \ln \left(2+x \right)}{16}\right)}{\left(x -\frac{5}{2}\right)^{4}}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(-x^{5}-\left(-\ln \left(2+x \right)-10\right) x^{4}-\left(10 \ln \left(2+x \right)+\frac{75}{2}\right) x^{3}-\left(-\frac{75 \ln \left(2+x \right)}{2}-\frac{1001}{16}\right) x^{2}-\left(\frac{125 \ln \left(2+x \right)}{2}+\frac{625}{16}\right) x +\frac{625 \ln \left(2+x \right)}{16}\right)}{\left(x -\frac{5}{2}\right)^{4}}\right)^{3}-8 i \ln \left(x -\frac{5}{2}\right)-2 i x \right)}{2}\right)$&$751$\\ \hline \end{longtable}"," ",0,"x+ln(ln(x^5+(-ln(2+x)-10)*x^4+(10*ln(2+x)+75/2)*x^3+(-75/2*ln(2+x)-1001/16)*x^2+(125/2*ln(2+x)+625/16)*x-625/16*ln(2+x))-1/2*I*(Pi*csgn(I/(x-5/2)^4)*csgn(I*(-x^5-(-ln(2+x)-10)*x^4-(10*ln(2+x)+75/2)*x^3-(-75/2*ln(2+x)-1001/16)*x^2-(125/2*ln(2+x)+625/16)*x+625/16*ln(2+x)))*csgn(I/(x-5/2)^4*(-x^5-(-ln(2+x)-10)*x^4-(10*ln(2+x)+75/2)*x^3-(-75/2*ln(2+x)-1001/16)*x^2-(125/2*ln(2+x)+625/16)*x+625/16*ln(2+x)))-Pi*csgn(I/(x-5/2)^4)*csgn(I/(x-5/2)^4*(-x^5-(-ln(2+x)-10)*x^4-(10*ln(2+x)+75/2)*x^3-(-75/2*ln(2+x)-1001/16)*x^2-(125/2*ln(2+x)+625/16)*x+625/16*ln(2+x)))^2-Pi*csgn(I*(x-5/2))^2*csgn(I*(x-5/2)^2)+2*Pi*csgn(I*(x-5/2))*csgn(I*(x-5/2)^2)^2-Pi*csgn(I*(x-5/2))*csgn(I*(x-5/2)^2)*csgn(I*(x-5/2)^3)+Pi*csgn(I*(x-5/2))*csgn(I*(x-5/2)^3)^2-Pi*csgn(I*(x-5/2))*csgn(I*(x-5/2)^3)*csgn(I*(x-5/2)^4)+Pi*csgn(I*(x-5/2))*csgn(I*(x-5/2)^4)^2-Pi*csgn(I*(x-5/2)^2)^3+Pi*csgn(I*(x-5/2)^2)*csgn(I*(x-5/2)^3)^2-Pi*csgn(I*(x-5/2)^3)^3+Pi*csgn(I*(x-5/2)^3)*csgn(I*(x-5/2)^4)^2-Pi*csgn(I*(x-5/2)^4)^3+Pi*csgn(I*(-x^5-(-ln(2+x)-10)*x^4-(10*ln(2+x)+75/2)*x^3-(-75/2*ln(2+x)-1001/16)*x^2-(125/2*ln(2+x)+625/16)*x+625/16*ln(2+x)))*csgn(I/(x-5/2)^4*(-x^5-(-ln(2+x)-10)*x^4-(10*ln(2+x)+75/2)*x^3-(-75/2*ln(2+x)-1001/16)*x^2-(125/2*ln(2+x)+625/16)*x+625/16*ln(2+x)))^2-Pi*csgn(I/(x-5/2)^4*(-x^5-(-ln(2+x)-10)*x^4-(10*ln(2+x)+75/2)*x^3-(-75/2*ln(2+x)-1001/16)*x^2-(125/2*ln(2+x)+625/16)*x+625/16*ln(2+x)))^3-8*I*ln(x-5/2)-2*I*x))","C"
7203,1,33,24,0.061000," ","int(((180*x^3+180*x^2)*ln(x+1)^2+(-576*x-576)*ln(x+1)-576*x)/((225*x^5-105*x^4-209*x^3+121*x^2)*ln(x+1)^2+(1440*x^3+384*x^2-1056*x)*ln(x+1)+2304*x+2304),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{180 \ln \left(x +1\right) x^{2}}{11}-\frac{576}{11}}{15 \ln \left(x +1\right) x^{2}-11 \ln \left(x +1\right) x +48}$&$33$\\ risch&$-\frac{12}{15 x -11}+\frac{576}{\left(15 x -11\right) \left(15 \ln \left(x +1\right) x^{2}-11 \ln \left(x +1\right) x +48\right)}$&$40$\\ \hline \end{longtable}"," ",0,"(-180/11*ln(x+1)*x^2-576/11)/(15*ln(x+1)*x^2-11*ln(x+1)*x+48)","A"
7204,1,27,22,0.166000," ","int((exp(3)^2*exp(25/4*x^4)+(-25*x^4+1)*exp(3)^2-25*x^5)/(2*exp(3)^4+4*x*exp(3)^2+2*x^2)/exp(25/4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{6}}{2 \left({\mathrm e}^{6}+x \right)}+\frac{x \,{\mathrm e}^{-\frac{25 x^{4}}{4}}}{2 \,{\mathrm e}^{6}+2 x}$&$27$\\ norman&$\frac{\left(-\frac{{\mathrm e}^{6} {\mathrm e}^{\frac{25 x^{4}}{4}}}{2}+\frac{x}{2}\right) {\mathrm e}^{-\frac{25 x^{4}}{4}}}{{\mathrm e}^{6}+x}$&$34$\\ \hline \end{longtable}"," ",0,"-1/2*exp(6)/(exp(6)+x)+1/2*x/(exp(6)+x)*exp(-25/4*x^4)","A"
7205,1,54,20,0.056000," ","int(((3*x^4-8*x^3+6*x^2-1)*exp(exp(2)^4)^2+(-4*x^2+4)*exp(exp(2)^4)-4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{2 \,{\mathrm e}^{8}} x^{3}-4 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} x^{2}+6 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} x -4 \,{\mathrm e}^{{\mathrm e}^{8}} x -\frac{-{\mathrm e}^{2 \,{\mathrm e}^{8}}+4 \,{\mathrm e}^{{\mathrm e}^{8}}-4}{x}$&$54$\\ risch&${\mathrm e}^{2 \,{\mathrm e}^{8}} x^{3}-4 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} x^{2}+6 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} x -4 \,{\mathrm e}^{{\mathrm e}^{8}} x +\frac{{\mathrm e}^{2 \,{\mathrm e}^{8}}}{x}-\frac{4 \,{\mathrm e}^{{\mathrm e}^{8}}}{x}+\frac{4}{x}$&$57$\\ norman&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{8}} x^{4}-4 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} x^{3}+\left(6 \,{\mathrm e}^{2 \,{\mathrm e}^{8}}-4 \,{\mathrm e}^{{\mathrm e}^{8}}\right) x^{2}+4+{\mathrm e}^{2 \,{\mathrm e}^{8}}-4 \,{\mathrm e}^{{\mathrm e}^{8}}}{x}$&$65$\\ gosper&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{8}} x^{4}-4 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} x^{3}+6 \,{\mathrm e}^{2 \,{\mathrm e}^{8}} x^{2}-4 \,{\mathrm e}^{{\mathrm e}^{8}} x^{2}+{\mathrm e}^{2 \,{\mathrm e}^{8}}-4 \,{\mathrm e}^{{\mathrm e}^{8}}+4}{x}$&$66$\\ \hline \end{longtable}"," ",0,"exp(2*exp(8))*x^3-4*exp(2*exp(8))*x^2+6*exp(2*exp(8))*x-4*exp(exp(8))*x-(-exp(2*exp(8))+4*exp(exp(8))-4)/x","B"
7206,1,36,25,0.022000," ","int(1/3*(12*x^3+72*x^2+96*x)*exp(8)+5*x^4+16/3*x^3-112*x^2-640/3*x-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{5}+\left({\mathrm e}^{8}+\frac{4}{3}\right) x^{4}+\left(8 \,{\mathrm e}^{8}-\frac{112}{3}\right) x^{3}+\left(16 \,{\mathrm e}^{8}-\frac{320}{3}\right) x^{2}-2 x$&$36$\\ gosper&$\frac{x \left(3 x^{3} {\mathrm e}^{8}+3 x^{4}+24 x^{2} {\mathrm e}^{8}+4 x^{3}+48 x \,{\mathrm e}^{8}-112 x^{2}-320 x -6\right)}{3}$&$43$\\ default&$\frac{{\mathrm e}^{8} \left(3 x^{4}+24 x^{3}+48 x^{2}\right)}{3}+x^{5}+\frac{4 x^{4}}{3}-\frac{112 x^{3}}{3}-\frac{320 x^{2}}{3}-2 x$&$43$\\ risch&$x^{4} {\mathrm e}^{8}+8 x^{3} {\mathrm e}^{8}+16 x^{2} {\mathrm e}^{8}+x^{5}+\frac{4 x^{4}}{3}-\frac{112 x^{3}}{3}-\frac{320 x^{2}}{3}-2 x$&$43$\\ \hline \end{longtable}"," ",0,"x^5+(exp(8)+4/3)*x^4+(8*exp(8)-112/3)*x^3+(16*exp(8)-320/3)*x^2-2*x","A"
7207,1,26,21,0.109000," ","int(((-25*x^3-4)*exp(1/25*(-25*x^3-50*x^2+2)/x^2)+25*x^3)/(25*x^3*exp(1/25*(-25*x^3-50*x^2+2)/x^2)+225*x^3*ln(2)+25*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(9 \ln \left(2\right)+x +{\mathrm e}^{\frac{-25 x^{3}-50 x^{2}+2}{25 x^{2}}}\right)$&$26$\\ risch&$-x +\frac{2}{25 x^{2}}-\frac{-25 x^{3}-50 x^{2}+2}{25 x^{2}}+\ln \left(9 \ln \left(2\right)+{\mathrm e}^{-\frac{25 x^{3}+50 x^{2}-2}{25 x^{2}}}+x \right)$&$52$\\ \hline \end{longtable}"," ",0,"ln(9*ln(2)+x+exp(1/25*(-25*x^3-50*x^2+2)/x^2))","A"
7208,1,23,15,0.031000," ","int(1/64*((x^2+64*x)*exp(x)*exp(1/128*x^2)*ln(x)^2+128*exp(x)*exp(1/128*x^2)*ln(x)+(-16*x^2-1024*x)*exp(x)*exp(1/128*x^2))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{2} {\mathrm e}^{\frac{x \left(128+x \right)}{128}}-16 \,{\mathrm e}^{\frac{x \left(128+x \right)}{128}}$&$23$\\ \hline \end{longtable}"," ",0,"ln(x)^2*exp(1/128*x*(128+x))-16*exp(1/128*x*(128+x))","A"
7209,1,7,6,0.015000," ","int(8/15*exp(4/3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 \,{\mathrm e}^{\frac{4 x}{3}}}{5}$&$7$\\ derivativedivides&$\frac{2 \,{\mathrm e}^{\frac{4 x}{3}}}{5}$&$7$\\ default&$\frac{2 \,{\mathrm e}^{\frac{4 x}{3}}}{5}$&$7$\\ norman&$\frac{2 \,{\mathrm e}^{\frac{4 x}{3}}}{5}$&$7$\\ risch&$\frac{2 \,{\mathrm e}^{\frac{4 x}{3}}}{5}$&$7$\\ meijerg&$-\frac{2}{5}+\frac{2 \,{\mathrm e}^{\frac{4 x}{3}}}{5}$&$9$\\ \hline \end{longtable}"," ",0,"2/5*exp(4/3*x)","A"
7210,1,22,21,0.176000," ","int((-18*ln(5)^2+(27*x^2-180*x)*ln(5))*exp(9*ln(5)/((4*x-40)*ln(5)-2*x^3+20*x^2))/((8*x^2-160*x+800)*ln(5)^2+(-8*x^4+160*x^3-800*x^2)*ln(5)+2*x^6-40*x^5+200*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5^{\frac{9}{2 \left(x -10\right) \left(-x^{2}+2 \ln \left(5\right)\right)}}$&$22$\\ gosper&${\mathrm e}^{\frac{9 \ln \left(5\right)}{2 \left(-x^{3}+2 x \ln \left(5\right)+10 x^{2}-20 \ln \left(5\right)\right)}}$&$28$\\ norman&$\frac{10 x^{2} {\mathrm e}^{\frac{9 \ln \left(5\right)}{\left(4 x -40\right) \ln \left(5\right)-2 x^{3}+20 x^{2}}}-x^{3} {\mathrm e}^{\frac{9 \ln \left(5\right)}{\left(4 x -40\right) \ln \left(5\right)-2 x^{3}+20 x^{2}}}-20 \ln \left(5\right) {\mathrm e}^{\frac{9 \ln \left(5\right)}{\left(4 x -40\right) \ln \left(5\right)-2 x^{3}+20 x^{2}}}+2 x \ln \left(5\right) {\mathrm e}^{\frac{9 \ln \left(5\right)}{\left(4 x -40\right) \ln \left(5\right)-2 x^{3}+20 x^{2}}}}{\left(x -10\right) \left(-x^{2}+2 \ln \left(5\right)\right)}$&$143$\\ \hline \end{longtable}"," ",0,"5^(9/2/(x-10)/(-x^2+2*ln(5)))","A"
7211,1,22,23,0.039000," ","int(((4*x^3*exp(-x^2+3)+2*x)*ln(x)-104*x^3*exp(-x^2+3)-54*x)/(ln(x)^3-78*ln(x)^2+2028*ln(x)-17576)/exp(exp(-x^2+3))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{-2 \,{\mathrm e}^{-x^{2}+3}}}{\left(-26+\ln \left(x \right)\right)^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"x^2/(-26+ln(x))^2*exp(-2*exp(-x^2+3))","A"
7212,1,23,23,0.051000," ","int(((2592*x+1296)*ln(x^2)+5*x^3+1306*x^2-2587*x-2592)/(5*x^4+10*x^3+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{1296 x}{5}-\frac{1296 \ln \left(x^{2}\right)}{5}}{\left(x +1\right) x}+\ln \left(x \right)$&$23$\\ risch&$-\frac{1296 \ln \left(x^{2}\right)}{5 x \left(x +1\right)}+\frac{5 x \ln \left(x \right)+5 \ln \left(x \right)-1296}{5 x +5}$&$34$\\ default&$\frac{2592}{5 x}+\ln \left(x \right)-\frac{1296}{5 \left(x +1\right)}+\frac{-2592-2592 x -1296 \ln \left(x^{2}\right)}{5 x \left(x +1\right)}$&$37$\\ \hline \end{longtable}"," ",0,"(-1296/5*x-1296/5*ln(x^2))/(x+1)/x+ln(x)","A"
7213,0,0,19,0.019000," ","int((5*x*ln(x^2)*ln(ln(x^2))^2-4*x^4*ln(x^2)*ln(ln(x^2))+2*x^4-8)/(5*x^2*ln(x^2)*ln(ln(x^2))^2+(-x^5+4*x)*ln(x^2)*ln(ln(x^2))),x)","\[\int \frac{5 x \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)^{2}-4 x^{4} \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)+2 x^{4}-8}{5 x^{2} \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)^{2}+\left(-x^{5}+4 x \right) \ln \left(x^{2}\right) \ln \left(\ln \left(x^{2}\right)\right)}\, dx\]"," ",0,"int((5*x*ln(x^2)*ln(ln(x^2))^2-4*x^4*ln(x^2)*ln(ln(x^2))+2*x^4-8)/(5*x^2*ln(x^2)*ln(ln(x^2))^2+(-x^5+4*x)*ln(x^2)*ln(ln(x^2))),x)","F"
7214,1,31,27,0.053000," ","int((216*ln(5)*ln(x)-216*ln(5)-72*x^2)*exp((3*ln(5)*ln(x)+3*x*ln(5)+x^2)/x/ln(5))/((x^2*ln(5)*exp((3*ln(5)*ln(x)+3*x*ln(5)+x^2)/x/ln(5))+x^2*ln(5))*ln(exp((3*ln(5)*ln(x)+3*x*ln(5)+x^2)/x/ln(5))+1)+4*x^2*ln(5)*exp((3*ln(5)*ln(x)+3*x*ln(5)+x^2)/x/ln(5))+4*x^2*ln(5))/ln(ln(exp((3*ln(5)*ln(x)+3*x*ln(5)+x^2)/x/ln(5))+1)+4)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{36}{\ln \left(\ln \left(x^{\frac{3}{x}} {\mathrm e}^{\frac{3 \ln \left(5\right)+x}{\ln \left(5\right)}}+1\right)+4\right)^{2}}$&$31$\\ \hline \end{longtable}"," ",0,"36/ln(ln(x^(3/x)*exp((3*ln(5)+x)/ln(5))+1)+4)^2","A"
7215,1,46,28,0.200000," ","int(((-2*x*ln(2)+(-4*x^2-2*x)*exp(1)+x^3+4*x^2+7*x)*ln(2*x)+2*((2*x+2)*exp(1)-2*x^2-3*x-2)*ln(2)+(-2*x^3+2*x^2-8*x-10)*exp(1)+7*x^2+13*x+10)/(32*x*ln(2)^2+2*(16*x^3+16*x^2-80*x)*ln(2)+8*x^5+16*x^4-72*x^3-80*x^2+200*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{{\mathrm e}}{4}-\frac{1}{8}\right) x +\left(\frac{{\mathrm e}}{4}-\frac{1}{4}\right) \ln \left(2 x \right)-\frac{x \ln \left(2 x \right)}{8}-\frac{5}{8}+\frac{\ln \left(2\right)}{4}}{x^{2}+2 \ln \left(2\right)+x -5}$&$46$\\ risch&$\frac{\left(-x +2 \,{\mathrm e}-2\right) \ln \left(2 x \right)}{8 x^{2}+16 \ln \left(2\right)+8 x -40}+\frac{2 x \,{\mathrm e}+2 \ln \left(2\right)-x -5}{8 x^{2}+16 \ln \left(2\right)+8 x -40}$&$57$\\ derivativedivides&$\frac{\ln \left(2\right) {\mathrm e} x}{4 \left(2 \ln \left(2\right)-5\right) \left(\frac{x^{2}}{2}+\ln \left(2\right)+\frac{x}{2}-\frac{5}{2}\right)}-\frac{x \ln \left(2\right)}{8 \left(2 \ln \left(2\right)-5\right) \left(\frac{x^{2}}{2}+\ln \left(2\right)+\frac{x}{2}-\frac{5}{2}\right)}-\frac{5 \,{\mathrm e} x}{8 \left(2 \ln \left(2\right)-5\right) \left(\frac{x^{2}}{2}+\ln \left(2\right)+\frac{x}{2}-\frac{5}{2}\right)}+\frac{5 x}{16 \left(2 \ln \left(2\right)-5\right) \left(\frac{x^{2}}{2}+\ln \left(2\right)+\frac{x}{2}-\frac{5}{2}\right)}+\frac{\ln \left(2\right)^{2}}{4 \left(2 \ln \left(2\right)-5\right) \left(\frac{x^{2}}{2}+\ln \left(2\right)+\frac{x}{2}-\frac{5}{2}\right)}-\frac{5 \ln \left(2\right)}{4 \left(2 \ln \left(2\right)-5\right) \left(\frac{x^{2}}{2}+\ln \left(2\right)+\frac{x}{2}-\frac{5}{2}\right)}+\frac{25}{16 \left(2 \ln \left(2\right)-5\right) \left(\frac{x^{2}}{2}+\ln \left(2\right)+\frac{x}{2}-\frac{5}{2}\right)}+\frac{\ln \left(2 x \right) {\mathrm e}}{8 \ln \left(2\right)-20}-\frac{\ln \left(2 x \right)}{2 \left(4 \ln \left(2\right)-10\right)}+\frac{\ln \left(2 x \right) \left(\ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right)-\ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right)\right)}{8 \sqrt{-8 \ln \left(2\right)+21}}-\frac{\ln \left(2 x \right) \left(8 \ln \left(2\right) \ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right) x^{2}-8 \ln \left(2\right) \ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right) x^{2}+8 \,{\mathrm e} \sqrt{-8 \ln \left(2\right)+21}\, x^{2}+16 \ln \left(2\right)^{2} \ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right)-16 \ln \left(2\right)^{2} \ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right)+8 \ln \left(2\right) \ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right) x -8 \ln \left(2\right) \ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right) x +8 \ln \left(2\right) \sqrt{-8 \ln \left(2\right)+21}\, x +8 \,{\mathrm e} \sqrt{-8 \ln \left(2\right)+21}\, x -20 \ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right) x^{2}+20 \ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right) x^{2}-8 \sqrt{-8 \ln \left(2\right)+21}\, x^{2}-80 \ln \left(2\right) \ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right)+80 \ln \left(2\right) \ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right)-20 \ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right) x +20 \ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right) x -28 x \sqrt{-8 \ln \left(2\right)+21}+100 \ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right)-100 \ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right)\right)}{8 \left(4 x^{2}+8 \ln \left(2\right)+4 x -20\right) \left(2 \ln \left(2\right)-5\right) \sqrt{-8 \ln \left(2\right)+21}}$&$835$\\ default&$\frac{\ln \left(2\right) {\mathrm e} x}{4 \left(2 \ln \left(2\right)-5\right) \left(\frac{x^{2}}{2}+\ln \left(2\right)+\frac{x}{2}-\frac{5}{2}\right)}-\frac{x \ln \left(2\right)}{8 \left(2 \ln \left(2\right)-5\right) \left(\frac{x^{2}}{2}+\ln \left(2\right)+\frac{x}{2}-\frac{5}{2}\right)}-\frac{5 \,{\mathrm e} x}{8 \left(2 \ln \left(2\right)-5\right) \left(\frac{x^{2}}{2}+\ln \left(2\right)+\frac{x}{2}-\frac{5}{2}\right)}+\frac{5 x}{16 \left(2 \ln \left(2\right)-5\right) \left(\frac{x^{2}}{2}+\ln \left(2\right)+\frac{x}{2}-\frac{5}{2}\right)}+\frac{\ln \left(2\right)^{2}}{4 \left(2 \ln \left(2\right)-5\right) \left(\frac{x^{2}}{2}+\ln \left(2\right)+\frac{x}{2}-\frac{5}{2}\right)}-\frac{5 \ln \left(2\right)}{4 \left(2 \ln \left(2\right)-5\right) \left(\frac{x^{2}}{2}+\ln \left(2\right)+\frac{x}{2}-\frac{5}{2}\right)}+\frac{25}{16 \left(2 \ln \left(2\right)-5\right) \left(\frac{x^{2}}{2}+\ln \left(2\right)+\frac{x}{2}-\frac{5}{2}\right)}+\frac{\ln \left(2 x \right) {\mathrm e}}{8 \ln \left(2\right)-20}-\frac{\ln \left(2 x \right)}{2 \left(4 \ln \left(2\right)-10\right)}+\frac{\ln \left(2 x \right) \left(\ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right)-\ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right)\right)}{8 \sqrt{-8 \ln \left(2\right)+21}}-\frac{\ln \left(2 x \right) \left(8 \ln \left(2\right) \ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right) x^{2}-8 \ln \left(2\right) \ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right) x^{2}+8 \,{\mathrm e} \sqrt{-8 \ln \left(2\right)+21}\, x^{2}+16 \ln \left(2\right)^{2} \ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right)-16 \ln \left(2\right)^{2} \ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right)+8 \ln \left(2\right) \ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right) x -8 \ln \left(2\right) \ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right) x +8 \ln \left(2\right) \sqrt{-8 \ln \left(2\right)+21}\, x +8 \,{\mathrm e} \sqrt{-8 \ln \left(2\right)+21}\, x -20 \ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right) x^{2}+20 \ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right) x^{2}-8 \sqrt{-8 \ln \left(2\right)+21}\, x^{2}-80 \ln \left(2\right) \ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right)+80 \ln \left(2\right) \ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right)-20 \ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right) x +20 \ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right) x -28 x \sqrt{-8 \ln \left(2\right)+21}+100 \ln \left(\frac{-1+\sqrt{-8 \ln \left(2\right)+21}-2 x}{-1+\sqrt{-8 \ln \left(2\right)+21}}\right)-100 \ln \left(\frac{1+\sqrt{-8 \ln \left(2\right)+21}+2 x}{1+\sqrt{-8 \ln \left(2\right)+21}}\right)\right)}{8 \left(4 x^{2}+8 \ln \left(2\right)+4 x -20\right) \left(2 \ln \left(2\right)-5\right) \sqrt{-8 \ln \left(2\right)+21}}$&$835$\\ \hline \end{longtable}"," ",0,"((1/4*exp(1)-1/8)*x+(1/4*exp(1)-1/4)*ln(2*x)-1/8*x*ln(2*x)-5/8+1/4*ln(2))/(x^2+2*ln(2)+x-5)","A"
7216,1,1045,27,0.128000," ","int((((144*x^16-3072*x^15+28224*x^14-145152*x^13+453600*x^12-870912*x^11+979776*x^10-559872*x^9+104977*x^8+x^7)*ln(x)^9+(-3584*x^14+64512*x^13-483840*x^12+1935360*x^11-4354560*x^10+5225472*x^9-2612736*x^8)*ln(x)^8+(512*x^14-10752*x^13+132608*x^12-999936*x^11+4354560*x^10-10354176*x^9+11321856*x^8-1119744*x^7-5225472*x^6)*ln(x)^7+(-14336*x^12+258048*x^11-2107392*x^10+9461760*x^9-22579200*x^8+20901888*x^7+12773376*x^6-27869184*x^5)*ln(x)^6+(172032*x^10-2580480*x^9+15769600*x^8-46448640*x^7+54190080*x^6+20127744*x^5-69672960*x^4)*ln(x)^5+(-1146880*x^8+13762560*x^7-61014016*x^6+107347968*x^5-18579456*x^4-99090432*x^3)*ln(x)^4+(4587520*x^6-41287680*x^5+118358016*x^4-79822848*x^3-82575360*x^2)*ln(x)^3+(-11010048*x^4+66060288*x^3-88604672*x^2-37748736*x)*ln(x)^2+(14680064*x^2-44040192*x-7340032)*ln(x)-8388608)*exp(((16*x^16-384*x^15+4032*x^14-24192*x^13+90720*x^12-217728*x^11+326592*x^10-279936*x^9+104977*x^8)*ln(x)^8+(-512*x^14+10752*x^13-96768*x^12+483840*x^11-1451520*x^10+2612736*x^9-2612736*x^8+1119744*x^7)*ln(x)^7+(7168*x^12-129024*x^11+967680*x^10-3870720*x^9+8709120*x^8-10450944*x^7+5225472*x^6)*ln(x)^6+(-57344*x^10+860160*x^9-5160960*x^8+15482880*x^7-23224320*x^6+13934592*x^5)*ln(x)^5+(286720*x^8-3440640*x^7+15482880*x^6-30965760*x^5+23224320*x^4)*ln(x)^4+(-917504*x^6+8257536*x^5-24772608*x^4+24772608*x^3)*ln(x)^3+(1835008*x^4-11010048*x^3+16515072*x^2)*ln(x)^2+(-2097152*x^2+6291456*x)*ln(x)+1048576)/x^7/ln(x)^8)+x^7*ln(x)^9)/(x^8*ln(x)^9*exp(((16*x^16-384*x^15+4032*x^14-24192*x^13+90720*x^12-217728*x^11+326592*x^10-279936*x^9+104977*x^8)*ln(x)^8+(-512*x^14+10752*x^13-96768*x^12+483840*x^11-1451520*x^10+2612736*x^9-2612736*x^8+1119744*x^7)*ln(x)^7+(7168*x^12-129024*x^11+967680*x^10-3870720*x^9+8709120*x^8-10450944*x^7+5225472*x^6)*ln(x)^6+(-57344*x^10+860160*x^9-5160960*x^8+15482880*x^7-23224320*x^6+13934592*x^5)*ln(x)^5+(286720*x^8-3440640*x^7+15482880*x^6-30965760*x^5+23224320*x^4)*ln(x)^4+(-917504*x^6+8257536*x^5-24772608*x^4+24772608*x^3)*ln(x)^3+(1835008*x^4-11010048*x^3+16515072*x^2)*ln(x)^2+(-2097152*x^2+6291456*x)*ln(x)+1048576)/x^7/ln(x)^8)+x^8*ln(x)^9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{9}-384 x^{8}+4032 x^{7}-24192 x^{6}+90720 x^{5}-217728 x^{4}+326592 x^{3}-279936 x^{2}+104977 x +\ln \left(x \right)-\frac{512 \left(-2048-27216 x^{5} \ln \left(x \right)^{5}+45360 x^{6} \ln \left(x \right)^{5}-10206 x^{6} \ln \left(x \right)^{6}-30240 x^{7} \ln \left(x \right)^{5}+20412 x^{7} \ln \left(x \right)^{6}-2187 x^{7} \ln \left(x \right)^{7}+10080 x^{8} \ln \left(x \right)^{5}-17010 x^{8} \ln \left(x \right)^{6}+5103 x^{8} \ln \left(x \right)^{7}-1680 x^{9} \ln \left(x \right)^{5}+7560 x^{9} \ln \left(x \right)^{6}-5103 x^{9} \ln \left(x \right)^{7}+112 x^{10} \ln \left(x \right)^{5}-1890 x^{10} \ln \left(x \right)^{6}+2835 x^{10} \ln \left(x \right)^{7}+252 x^{11} \ln \left(x \right)^{6}-945 x^{11} \ln \left(x \right)^{7}-14 x^{12} \ln \left(x \right)^{6}+189 x^{12} \ln \left(x \right)^{7}-21 x^{13} \ln \left(x \right)^{7}+4096 x^{2} \ln \left(x \right)-30240 x^{6} \ln \left(x \right)^{4}+6720 x^{7} \ln \left(x \right)^{4}-32256 x^{2} \ln \left(x \right)^{2}+48384 x^{4} \ln \left(x \right)^{3}+1792 x^{6} \ln \left(x \right)^{3}-16128 x^{5} \ln \left(x \right)^{3}-48384 x^{3} \ln \left(x \right)^{3}-3584 x^{4} \ln \left(x \right)^{2}-12288 x \ln \left(x \right)+60480 x^{5} \ln \left(x \right)^{4}-560 x^{8} \ln \left(x \right)^{4}-45360 x^{4} \ln \left(x \right)^{4}+21504 x^{3} \ln \left(x \right)^{2}+\ln \left(x \right)^{7} x^{14}\right)}{x^{7} \ln \left(x \right)^{8}}-\frac{\left(16 x^{16}-384 x^{15}+4032 x^{14}-24192 x^{13}+90720 x^{12}-217728 x^{11}+326592 x^{10}-279936 x^{9}+104977 x^{8}\right) \ln \left(x \right)^{8}+\left(-512 x^{14}+10752 x^{13}-96768 x^{12}+483840 x^{11}-1451520 x^{10}+2612736 x^{9}-2612736 x^{8}+1119744 x^{7}\right) \ln \left(x \right)^{7}+\left(7168 x^{12}-129024 x^{11}+967680 x^{10}-3870720 x^{9}+8709120 x^{8}-10450944 x^{7}+5225472 x^{6}\right) \ln \left(x \right)^{6}+\left(-57344 x^{10}+860160 x^{9}-5160960 x^{8}+15482880 x^{7}-23224320 x^{6}+13934592 x^{5}\right) \ln \left(x \right)^{5}+\left(286720 x^{8}-3440640 x^{7}+15482880 x^{6}-30965760 x^{5}+23224320 x^{4}\right) \ln \left(x \right)^{4}+\left(-917504 x^{6}+8257536 x^{5}-24772608 x^{4}+24772608 x^{3}\right) \ln \left(x \right)^{3}+\left(1835008 x^{4}-11010048 x^{3}+16515072 x^{2}\right) \ln \left(x \right)^{2}+\left(-2097152 x^{2}+6291456 x \right) \ln \left(x \right)+1048576}{x^{7} \ln \left(x \right)^{8}}+\ln \left({\mathrm e}^{\frac{1048576-24192 x^{13} \ln \left(x \right)^{8}+13934592 x^{5} \ln \left(x \right)^{5}-23224320 x^{6} \ln \left(x \right)^{5}+5225472 x^{6} \ln \left(x \right)^{6}+15482880 x^{7} \ln \left(x \right)^{5}-10450944 x^{7} \ln \left(x \right)^{6}+1119744 x^{7} \ln \left(x \right)^{7}-5160960 x^{8} \ln \left(x \right)^{5}+8709120 x^{8} \ln \left(x \right)^{6}-2612736 x^{8} \ln \left(x \right)^{7}+860160 x^{9} \ln \left(x \right)^{5}+104977 x^{8} \ln \left(x \right)^{8}-3870720 x^{9} \ln \left(x \right)^{6}+2612736 x^{9} \ln \left(x \right)^{7}-57344 x^{10} \ln \left(x \right)^{5}-279936 x^{9} \ln \left(x \right)^{8}+967680 x^{10} \ln \left(x \right)^{6}-1451520 x^{10} \ln \left(x \right)^{7}+326592 x^{10} \ln \left(x \right)^{8}-129024 x^{11} \ln \left(x \right)^{6}+483840 x^{11} \ln \left(x \right)^{7}-217728 x^{11} \ln \left(x \right)^{8}+7168 x^{12} \ln \left(x \right)^{6}-96768 x^{12} \ln \left(x \right)^{7}+90720 x^{12} \ln \left(x \right)^{8}+10752 x^{13} \ln \left(x \right)^{7}-2097152 x^{2} \ln \left(x \right)+15482880 x^{6} \ln \left(x \right)^{4}-3440640 x^{7} \ln \left(x \right)^{4}+16515072 x^{2} \ln \left(x \right)^{2}-24772608 x^{4} \ln \left(x \right)^{3}-917504 x^{6} \ln \left(x \right)^{3}+8257536 x^{5} \ln \left(x \right)^{3}+24772608 x^{3} \ln \left(x \right)^{3}+1835008 x^{4} \ln \left(x \right)^{2}+6291456 x \ln \left(x \right)-30965760 x^{5} \ln \left(x \right)^{4}+286720 x^{8} \ln \left(x \right)^{4}+23224320 x^{4} \ln \left(x \right)^{4}-11010048 x^{3} \ln \left(x \right)^{2}+16 \ln \left(x \right)^{8} x^{16}-384 \ln \left(x \right)^{8} x^{15}+4032 \ln \left(x \right)^{8} x^{14}-512 \ln \left(x \right)^{7} x^{14}}{x^{7} \ln \left(x \right)^{8}}}+1\right)$&$1045$\\ \hline \end{longtable}"," ",0,"16*x^9-384*x^8+4032*x^7-24192*x^6+90720*x^5-217728*x^4+326592*x^3-279936*x^2+104977*x+ln(x)-512*(-2048-27216*x^5*ln(x)^5+45360*x^6*ln(x)^5-10206*x^6*ln(x)^6-30240*x^7*ln(x)^5+20412*x^7*ln(x)^6-2187*x^7*ln(x)^7+10080*x^8*ln(x)^5-17010*x^8*ln(x)^6+5103*x^8*ln(x)^7-1680*x^9*ln(x)^5+7560*x^9*ln(x)^6-5103*x^9*ln(x)^7+112*x^10*ln(x)^5-1890*x^10*ln(x)^6+2835*x^10*ln(x)^7+252*x^11*ln(x)^6-945*x^11*ln(x)^7-14*x^12*ln(x)^6+189*x^12*ln(x)^7-21*x^13*ln(x)^7+4096*x^2*ln(x)-30240*x^6*ln(x)^4+6720*x^7*ln(x)^4-32256*x^2*ln(x)^2+48384*x^4*ln(x)^3+1792*x^6*ln(x)^3-16128*x^5*ln(x)^3-48384*x^3*ln(x)^3-3584*x^4*ln(x)^2-12288*x*ln(x)+60480*x^5*ln(x)^4-560*x^8*ln(x)^4-45360*x^4*ln(x)^4+21504*x^3*ln(x)^2+ln(x)^7*x^14)/x^7/ln(x)^8-((16*x^16-384*x^15+4032*x^14-24192*x^13+90720*x^12-217728*x^11+326592*x^10-279936*x^9+104977*x^8)*ln(x)^8+(-512*x^14+10752*x^13-96768*x^12+483840*x^11-1451520*x^10+2612736*x^9-2612736*x^8+1119744*x^7)*ln(x)^7+(7168*x^12-129024*x^11+967680*x^10-3870720*x^9+8709120*x^8-10450944*x^7+5225472*x^6)*ln(x)^6+(-57344*x^10+860160*x^9-5160960*x^8+15482880*x^7-23224320*x^6+13934592*x^5)*ln(x)^5+(286720*x^8-3440640*x^7+15482880*x^6-30965760*x^5+23224320*x^4)*ln(x)^4+(-917504*x^6+8257536*x^5-24772608*x^4+24772608*x^3)*ln(x)^3+(1835008*x^4-11010048*x^3+16515072*x^2)*ln(x)^2+(-2097152*x^2+6291456*x)*ln(x)+1048576)/x^7/ln(x)^8+ln(exp((1048576-24192*x^13*ln(x)^8+13934592*x^5*ln(x)^5-23224320*x^6*ln(x)^5+5225472*x^6*ln(x)^6+15482880*x^7*ln(x)^5-10450944*x^7*ln(x)^6+1119744*x^7*ln(x)^7-5160960*x^8*ln(x)^5+8709120*x^8*ln(x)^6-2612736*x^8*ln(x)^7+860160*x^9*ln(x)^5+104977*x^8*ln(x)^8-3870720*x^9*ln(x)^6+2612736*x^9*ln(x)^7-57344*x^10*ln(x)^5-279936*x^9*ln(x)^8+967680*x^10*ln(x)^6-1451520*x^10*ln(x)^7+326592*x^10*ln(x)^8-129024*x^11*ln(x)^6+483840*x^11*ln(x)^7-217728*x^11*ln(x)^8+7168*x^12*ln(x)^6-96768*x^12*ln(x)^7+90720*x^12*ln(x)^8+10752*x^13*ln(x)^7-2097152*x^2*ln(x)+15482880*x^6*ln(x)^4-3440640*x^7*ln(x)^4+16515072*x^2*ln(x)^2-24772608*x^4*ln(x)^3-917504*x^6*ln(x)^3+8257536*x^5*ln(x)^3+24772608*x^3*ln(x)^3+1835008*x^4*ln(x)^2+6291456*x*ln(x)-30965760*x^5*ln(x)^4+286720*x^8*ln(x)^4+23224320*x^4*ln(x)^4-11010048*x^3*ln(x)^2+16*ln(x)^8*x^16-384*ln(x)^8*x^15+4032*ln(x)^8*x^14-512*ln(x)^7*x^14)/x^7/ln(x)^8)+1)","B"
7217,1,26,22,0.052000," ","int((-exp(x)*x+2*x^2-2*x-1)*exp(exp(x)+exp(2)-x^2+2*x+4)+1-2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{2}-x^{2}+2 x +4} x -x^{2}$&$26$\\ norman&$x -{\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{2}-x^{2}+2 x +4} x -x^{2}$&$26$\\ risch&$x -{\mathrm e}^{{\mathrm e}^{x}+{\mathrm e}^{2}-x^{2}+2 x +4} x -x^{2}$&$26$\\ \hline \end{longtable}"," ",0,"x-exp(exp(x)+exp(2)-x^2+2*x+4)*x-x^2","A"
7218,1,13,11,0.014000," ","int(-6*exp(4)+18*x-6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-3 x \left(-3 x +2 \,{\mathrm e}^{4}+2\right)$&$13$\\ default&$-6 x \,{\mathrm e}^{4}+9 x^{2}-6 x$&$15$\\ norman&$\left(-6 \,{\mathrm e}^{4}-6\right) x +9 x^{2}$&$15$\\ risch&$-6 x \,{\mathrm e}^{4}+9 x^{2}-6 x$&$15$\\ \hline \end{longtable}"," ",0,"-3*x*(-3*x+2*exp(4)+2)","A"
7219,1,18,15,0.045000," ","int((-5*ln(-3/4*x)*ln(ln(-3/4*x))+x^2*ln(-3/4*x)+5+x)/x^2/ln(-3/4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \ln \left(\ln \left(-\frac{3 x}{4}\right)\right)}{x}+x +\ln \left(\ln \left(-\frac{3 x}{4}\right)\right)$&$18$\\ norman&$\frac{x^{2}+5 \ln \left(\ln \left(-\frac{3 x}{4}\right)\right)}{x}+\ln \left(\ln \left(-\frac{3 x}{4}\right)\right)$&$22$\\ \hline \end{longtable}"," ",0,"5*ln(ln(-3/4*x))/x+x+ln(ln(-3/4*x))","A"
7220,1,47,25,0.038000," ","int(((2*x*exp(x)^2+2*x)*ln(x)+(4*exp(4)+4*exp(3)-4*x-6)*exp(x)^2+(8*exp(4)+8*exp(3)-8*x-20)*exp(x)+4*exp(4)+4*exp(3)-4*x-14)/(x*exp(x)^2+2*exp(x)*x+x)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \,{\mathrm e}^{4+x}+2 \,{\mathrm e}^{4}+2 \,{\mathrm e}^{3+x}+2 \,{\mathrm e}^{3}-2 \,{\mathrm e}^{x} x -2 x -3 \,{\mathrm e}^{x}-7}{\left({\mathrm e}^{x}+1\right) \ln \left(x \right)^{2}}$&$47$\\ \hline \end{longtable}"," ",0,"-(2*exp(4+x)+2*exp(4)+2*exp(3+x)+2*exp(3)-2*exp(x)*x-2*x-3*exp(x)-7)/(exp(x)+1)/ln(x)^2","A"
7221,1,21,19,0.033000," ","int(1/2*((11*x^2*exp(11/6*x^3)+3)*exp(exp(4))+2*x)/exp(exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 x}{2}+\frac{{\mathrm e}^{-{\mathrm e}^{4}} x^{2}}{2}+{\mathrm e}^{\frac{11 x^{3}}{6}}$&$21$\\ risch&$\frac{3 x}{2}+\frac{{\mathrm e}^{-{\mathrm e}^{4}} x^{2}}{2}+{\mathrm e}^{\frac{11 x^{3}}{6}}$&$21$\\ default&$\frac{{\mathrm e}^{-{\mathrm e}^{4}} \left({\mathrm e}^{{\mathrm e}^{4}} \left(3 x +2 \,{\mathrm e}^{\frac{11 x^{3}}{6}}\right)+x^{2}\right)}{2}$&$28$\\ \hline \end{longtable}"," ",0,"3/2*x+1/2/exp(exp(4))*x^2+exp(11/6*x^3)","A"
7222,1,25,23,0.106000," ","int((5*x^4+20*x^2+160*x+20)/(x^4+4*x^2+4)/exp(1)/exp((-x^3+6*x^2-2*x+28)/(x^2+2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \,{\mathrm e}^{\frac{x^{3}-7 x^{2}+2 x -30}{x^{2}+2}}$&$25$\\ gosper&$5 \,{\mathrm e}^{-1} {\mathrm e}^{\frac{x^{3}-6 x^{2}+2 x -28}{x^{2}+2}}$&$32$\\ norman&$\frac{\left(10 \,{\mathrm e}^{-1}+5 x^{2} {\mathrm e}^{-1}\right) {\mathrm e}^{-\frac{-x^{3}+6 x^{2}-2 x +28}{x^{2}+2}}}{x^{2}+2}$&$51$\\ \hline \end{longtable}"," ",0,"5*exp((x^3-7*x^2+2*x-30)/(x^2+2))","A"
7223,1,14,13,0.108000," ","int((13*exp(4)*exp(x*exp(4))+26)*exp(1/2*exp(x*exp(4))+x)*exp(exp(1/2*exp(x*exp(4))+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$26 \,{\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{x \,{\mathrm e}^{4}}}{2}+x}}$&$14$\\ risch&$26 \,{\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{x \,{\mathrm e}^{4}}}{2}+x}}$&$14$\\ \hline \end{longtable}"," ",0,"26*exp(exp(1/2*exp(x*exp(4))+x))","A"
7224,1,12,14,0.007000," ","int(2*ln(x)+4*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x \ln \left(x \right)+2 x^{2}$&$12$\\ norman&$2 x \ln \left(x \right)+2 x^{2}$&$12$\\ risch&$2 x \ln \left(x \right)+2 x^{2}$&$12$\\ \hline \end{longtable}"," ",0,"2*x*ln(x)+2*x^2","A"
7225,1,13,13,0.040000," ","int((ln(24)+128*x^8)/x/ln(24),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16 x^{8}}{\ln \left(24\right)}+\ln \left(x \right)$&$13$\\ default&$\frac{16 x^{8}+\ln \left(24\right) \ln \left(x \right)}{\ln \left(24\right)}$&$17$\\ risch&$\frac{16 x^{8}}{3 \ln \left(2\right)+\ln \left(3\right)}+\ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"16*x^8/ln(24)+ln(x)","A"
7226,1,93,26,0.163000," ","int((4*x^5*exp(2)*ln(x)^5+(324*x^3*exp(25)-12*x^4*exp(2))*exp((81*exp(25)-162*x)/exp(2)/x)*ln(x)^4+((-972*x^2*exp(25)+12*x^3*exp(2))*exp((81*exp(25)-162*x)/exp(2)/x)^2+4*x^4*exp(2)*exp((81*exp(25)-162*x)/exp(2)/x))*ln(x)^3+((972*x*exp(25)-4*x^2*exp(2))*exp((81*exp(25)-162*x)/exp(2)/x)^3-12*x^3*exp(2)*exp((81*exp(25)-162*x)/exp(2)/x)^2)*ln(x)^2+(-324*exp(25)*exp((81*exp(25)-162*x)/exp(2)/x)^4+12*x^2*exp(2)*exp((81*exp(25)-162*x)/exp(2)/x)^3)*ln(x)-4*x*exp(2)*exp((81*exp(25)-162*x)/exp(2)/x)^4)/x^2/exp(2)/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}-\frac{{\mathrm e}^{\frac{81 \left({\mathrm e}^{25}-2 x \right) {\mathrm e}^{-2}}{x}} \left(4 x^{3} \ln \left(x \right)^{3}-6 x^{2} {\mathrm e}^{\frac{81 \left({\mathrm e}^{25}-2 x \right) {\mathrm e}^{-2}}{x}} \ln \left(x \right)^{2}+4 x \,{\mathrm e}^{\frac{162 \left({\mathrm e}^{25}-2 x \right) {\mathrm e}^{-2}}{x}} \ln \left(x \right)-{\mathrm e}^{\frac{243 \left({\mathrm e}^{25}-2 x \right) {\mathrm e}^{-2}}{x}}\right)}{\ln \left(x \right)^{4}}$&$93$\\ \hline \end{longtable}"," ",0,"x^4-exp(81*(exp(25)-2*x)*exp(-2)/x)*(4*x^3*ln(x)^3-6*x^2*exp(81*(exp(25)-2*x)*exp(-2)/x)*ln(x)^2+4*x*exp(162*(exp(25)-2*x)*exp(-2)/x)*ln(x)-exp(243*(exp(25)-2*x)*exp(-2)/x))/ln(x)^4","B"
7227,1,397,21,0.298000," ","int((((4-2*x)*ln(3)*ln(x)*ln(1/ln(x))*ln(ln(1/ln(x)))^2+(-4*x+8)*ln(x)*ln(1/ln(x))*ln(ln(1/ln(x))))*ln((ln(3)*ln(ln(1/ln(x)))+2)/ln(ln(1/ln(x))))-2*x+8)/(ln(3)*ln(x)*ln(1/ln(x))*ln(ln(1/ln(x)))^2+2*ln(x)*ln(1/ln(x))*ln(ln(1/ln(x)))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x^{2}+4 x \right) \ln \left(\ln \left(3\right) \ln \left(-\ln \left(\ln \left(x \right)\right)\right)+2\right)+x^{2} \ln \left(\ln \left(-\ln \left(\ln \left(x \right)\right)\right)\right)-4 x \ln \left(\ln \left(-\ln \left(\ln \left(x \right)\right)\right)\right)+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\ln \left(3\right) \ln \left(-\ln \left(\ln \left(x \right)\right)\right)+2\right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(-\ln \left(\ln \left(x \right)\right)\right)}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \ln \left(-\ln \left(\ln \left(x \right)\right)\right)+2\right)}{\ln \left(-\ln \left(\ln \left(x \right)\right)\right)}\right)}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\ln \left(3\right) \ln \left(-\ln \left(\ln \left(x \right)\right)\right)+2\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \ln \left(-\ln \left(\ln \left(x \right)\right)\right)+2\right)}{\ln \left(-\ln \left(\ln \left(x \right)\right)\right)}\right)^{2}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(-\ln \left(\ln \left(x \right)\right)\right)}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \ln \left(-\ln \left(\ln \left(x \right)\right)\right)+2\right)}{\ln \left(-\ln \left(\ln \left(x \right)\right)\right)}\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \ln \left(-\ln \left(\ln \left(x \right)\right)\right)+2\right)}{\ln \left(-\ln \left(\ln \left(x \right)\right)\right)}\right)^{3}}{2}-2 i \pi  x \,\mathrm{csgn}\left(i \left(\ln \left(3\right) \ln \left(-\ln \left(\ln \left(x \right)\right)\right)+2\right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(-\ln \left(\ln \left(x \right)\right)\right)}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \ln \left(-\ln \left(\ln \left(x \right)\right)\right)+2\right)}{\ln \left(-\ln \left(\ln \left(x \right)\right)\right)}\right)+2 i \pi  x \,\mathrm{csgn}\left(i \left(\ln \left(3\right) \ln \left(-\ln \left(\ln \left(x \right)\right)\right)+2\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \ln \left(-\ln \left(\ln \left(x \right)\right)\right)+2\right)}{\ln \left(-\ln \left(\ln \left(x \right)\right)\right)}\right)^{2}+2 i \pi  x \,\mathrm{csgn}\left(\frac{i}{\ln \left(-\ln \left(\ln \left(x \right)\right)\right)}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \ln \left(-\ln \left(\ln \left(x \right)\right)\right)+2\right)}{\ln \left(-\ln \left(\ln \left(x \right)\right)\right)}\right)^{2}-2 i \pi  x \mathrm{csgn}\left(\frac{i \left(\ln \left(3\right) \ln \left(-\ln \left(\ln \left(x \right)\right)\right)+2\right)}{\ln \left(-\ln \left(\ln \left(x \right)\right)\right)}\right)^{3}$&$397$\\ \hline \end{longtable}"," ",0,"(-x^2+4*x)*ln(ln(3)*ln(-ln(ln(x)))+2)+x^2*ln(ln(-ln(ln(x))))-4*x*ln(ln(-ln(ln(x))))+1/2*I*Pi*x^2*csgn(I*(ln(3)*ln(-ln(ln(x)))+2))*csgn(I/ln(-ln(ln(x))))*csgn(I/ln(-ln(ln(x)))*(ln(3)*ln(-ln(ln(x)))+2))-1/2*I*Pi*x^2*csgn(I*(ln(3)*ln(-ln(ln(x)))+2))*csgn(I/ln(-ln(ln(x)))*(ln(3)*ln(-ln(ln(x)))+2))^2-1/2*I*Pi*x^2*csgn(I/ln(-ln(ln(x))))*csgn(I/ln(-ln(ln(x)))*(ln(3)*ln(-ln(ln(x)))+2))^2+1/2*I*Pi*x^2*csgn(I/ln(-ln(ln(x)))*(ln(3)*ln(-ln(ln(x)))+2))^3-2*I*Pi*x*csgn(I*(ln(3)*ln(-ln(ln(x)))+2))*csgn(I/ln(-ln(ln(x))))*csgn(I/ln(-ln(ln(x)))*(ln(3)*ln(-ln(ln(x)))+2))+2*I*Pi*x*csgn(I*(ln(3)*ln(-ln(ln(x)))+2))*csgn(I/ln(-ln(ln(x)))*(ln(3)*ln(-ln(ln(x)))+2))^2+2*I*Pi*x*csgn(I/ln(-ln(ln(x))))*csgn(I/ln(-ln(ln(x)))*(ln(3)*ln(-ln(ln(x)))+2))^2-2*I*Pi*x*csgn(I/ln(-ln(ln(x)))*(ln(3)*ln(-ln(ln(x)))+2))^3","C"
7228,1,26,25,0.040000," ","int(-exp(x)*ln(1+2*ln(2))+2*x*ln(x)^2+2*x*ln(x)-9*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2} \ln \left(x \right)^{2}-{\mathrm e}^{x} \ln \left(1+2 \ln \left(2\right)\right)-3 x^{3}$&$26$\\ norman&$x^{2} \ln \left(x \right)^{2}-{\mathrm e}^{x} \ln \left(1+2 \ln \left(2\right)\right)-3 x^{3}$&$26$\\ risch&$x^{2} \ln \left(x \right)^{2}-{\mathrm e}^{x} \ln \left(1+2 \ln \left(2\right)\right)-3 x^{3}$&$26$\\ \hline \end{longtable}"," ",0,"x^2*ln(x)^2-exp(x)*ln(1+2*ln(2))-3*x^3","A"
7229,1,31,22,0.166000," ","int(((x^2-18*x+32)*ln(9*x^6/(1600*x^4-57600*x^3+620800*x^2-1843200*x+1638400))+2*x^2-72*x+192)/(x^2-18*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\frac{9 x^{6}}{1600 x^{4}-57600 x^{3}+620800 x^{2}-1843200 x +1638400}\right)$&$31$\\ risch&$x \ln \left(\frac{9 x^{6}}{1600 x^{4}-57600 x^{3}+620800 x^{2}-1843200 x +1638400}\right)$&$31$\\ default&$2 x \ln \left(3\right)-2 x \ln \left(40\right)+x \ln \left(\frac{x^{6}}{x^{4}-36 x^{3}+388 x^{2}-1152 x +1024}\right)$&$39$\\ \hline \end{longtable}"," ",0,"x*ln(9*x^6/(1600*x^4-57600*x^3+620800*x^2-1843200*x+1638400))","A"
7230,0,0,29,0.030000," ","int(((7500*x^5-150000*x^4+1125000*x^3-3750000*x^2+4687500*x)*ln(x)^4+(-200*x^4-700*x^3+8000*x^2+2500*x)*ln(x)^2+(-200*x^4+600*x^3+7000*x^2-15000*x-50000)*ln(x))*exp((50*x^3-400*x^2+250*x+2500)*ln(x)^2/((75*x^2-750*x+1875)*ln(x)^2-x-5))/((5625*x^5-112500*x^4+843750*x^3-2812500*x^2+3515625*x)*ln(x)^4+(-150*x^4+750*x^3+3750*x^2-18750*x)*ln(x)^2+x^3+10*x^2+25*x),x)","\[\int \frac{\left(\left(7500 x^{5}-150000 x^{4}+1125000 x^{3}-3750000 x^{2}+4687500 x \right) \ln \left(x \right)^{4}+\left(-200 x^{4}-700 x^{3}+8000 x^{2}+2500 x \right) \ln \left(x \right)^{2}+\left(-200 x^{4}+600 x^{3}+7000 x^{2}-15000 x -50000\right) \ln \left(x \right)\right) {\mathrm e}^{\frac{\left(50 x^{3}-400 x^{2}+250 x +2500\right) \ln \left(x \right)^{2}}{\left(75 x^{2}-750 x +1875\right) \ln \left(x \right)^{2}-x -5}}}{\left(5625 x^{5}-112500 x^{4}+843750 x^{3}-2812500 x^{2}+3515625 x \right) \ln \left(x \right)^{4}+\left(-150 x^{4}+750 x^{3}+3750 x^{2}-18750 x \right) \ln \left(x \right)^{2}+x^{3}+10 x^{2}+25 x}\, dx\]"," ",0,"int(((7500*x^5-150000*x^4+1125000*x^3-3750000*x^2+4687500*x)*ln(x)^4+(-200*x^4-700*x^3+8000*x^2+2500*x)*ln(x)^2+(-200*x^4+600*x^3+7000*x^2-15000*x-50000)*ln(x))*exp((50*x^3-400*x^2+250*x+2500)*ln(x)^2/((75*x^2-750*x+1875)*ln(x)^2-x-5))/((5625*x^5-112500*x^4+843750*x^3-2812500*x^2+3515625*x)*ln(x)^4+(-150*x^4+750*x^3+3750*x^2-18750*x)*ln(x)^2+x^3+10*x^2+25*x),x)","F"
7231,1,23,23,0.171000," ","int(((-2*x^2+4*x-7)*ln(2)^2+20)/(x^2-2*x+1)/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x +\frac{5}{x -1}-\frac{20}{\ln \left(2\right)^{2} \left(x -1\right)}$&$23$\\ gosper&$-\frac{2 x^{2} \ln \left(2\right)^{2}+20-7 \ln \left(2\right)^{2}}{\ln \left(2\right)^{2} \left(x -1\right)}$&$29$\\ default&$\frac{-2 x \ln \left(2\right)^{2}-\frac{-5 \ln \left(2\right)^{2}+20}{x -1}}{\ln \left(2\right)^{2}}$&$29$\\ norman&$\frac{-2 x^{2} \ln \left(2\right)+\frac{7 \ln \left(2\right)^{2}-20}{\ln \left(2\right)}}{\left(x -1\right) \ln \left(2\right)}$&$32$\\ meijerg&$\frac{20 x}{\ln \left(2\right)^{2} \left(1-x \right)}-\frac{2 x \left(-3 x +6\right)}{3 \left(1-x \right)}-\frac{3 x}{1-x}$&$41$\\ \hline \end{longtable}"," ",0,"-2*x+5/(x-1)-20/ln(2)^2/(x-1)","A"
7232,1,222,31,0.209000," ","int((((2*x^2-x)*exp(exp(x^2*ln(x)-5*x^2))+12*x-6)*ln((x*exp(exp(x^2*ln(x)-5*x^2))+6)/x)+(((-2*x^4+2*x^3)*ln(x)+9*x^4-9*x^3)*exp(x^2*ln(x)-5*x^2)-4*x^3)*exp(exp(x^2*ln(x)-5*x^2))-24*x^2+6*x-6)/((x^5-2*x^4+x^3)*exp(exp(x^2*ln(x)-5*x^2))+6*x^4-12*x^3+6*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \,{\mathrm e}^{x^{x^{2}} {\mathrm e}^{-5 x^{2}}}+6\right)}{x \left(x -1\right)}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{x^{x^{2}} {\mathrm e}^{-5 x^{2}}}+6\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{x^{x^{2}} {\mathrm e}^{-5 x^{2}}}+6\right)}{x}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{x^{x^{2}} {\mathrm e}^{-5 x^{2}}}+6\right)}{x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{x^{x^{2}} {\mathrm e}^{-5 x^{2}}}+6\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{x^{x^{2}} {\mathrm e}^{-5 x^{2}}}+6\right)}{x}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{x^{x^{2}} {\mathrm e}^{-5 x^{2}}}+6\right)}{x}\right)^{3}+8 x +2 \ln \left(x \right)}{2 x \left(x -1\right)}$&$222$\\ \hline \end{longtable}"," ",0,"-1/x/(x-1)*ln(x*exp(x^(x^2)*exp(-5*x^2))+6)+1/2*(I*Pi*csgn(I/x)*csgn(I*(x*exp(x^(x^2)*exp(-5*x^2))+6))*csgn(I/x*(x*exp(x^(x^2)*exp(-5*x^2))+6))-I*Pi*csgn(I/x)*csgn(I/x*(x*exp(x^(x^2)*exp(-5*x^2))+6))^2-I*Pi*csgn(I*(x*exp(x^(x^2)*exp(-5*x^2))+6))*csgn(I/x*(x*exp(x^(x^2)*exp(-5*x^2))+6))^2+I*Pi*csgn(I/x*(x*exp(x^(x^2)*exp(-5*x^2))+6))^3+8*x+2*ln(x))/x/(x-1)","C"
7233,1,25,16,0.132000," ","int(((x^3-2*x^2)*ln(x-2)+4*x^4+x^3-16*x^2-x+2)*exp((x^2*ln(x-2)+2*x^3+8*x^2+1)/x)*exp(exp((x^2*ln(x-2)+2*x^3+8*x^2+1)/x))/(x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\left(x -2\right)^{x} {\mathrm e}^{\frac{2 x^{3}+8 x^{2}+1}{x}}}$&$25$\\ \hline \end{longtable}"," ",0,"exp((x-2)^x*exp((2*x^3+8*x^2+1)/x))","A"
7234,1,24,24,0.149000," ","int((3*exp(x)^4+((-164*x^2-6*x)*exp(1)+18+6*x)*exp(x)^2+(-82*x^2-3*x)*exp(1)+3*x^2+18*x+27)/((82*x^2+3*x)*exp(x)^4+(164*x^3+498*x^2+18*x)*exp(x)^2+82*x^4+495*x^3+756*x^2+27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}}{{\mathrm e}^{2 x}+3+x}-\ln \left(82 x +3\right)+\ln \left(x \right)$&$24$\\ risch&$\frac{{\mathrm e}}{{\mathrm e}^{2 x}+3+x}-\ln \left(82 x +3\right)+\ln \left(x \right)$&$24$\\ \hline \end{longtable}"," ",0,"exp(1)/(exp(x)^2+3+x)-ln(82*x+3)+ln(x)","A"
7235,1,22,21,0.079000," ","int(1/16*((-exp(5)-2*x+18)*exp(-1/16*x*exp(5)-1/16*x^2+9/8*x+5)-16)*exp(exp(-1/16*x*exp(5)-1/16*x^2+9/8*x+5)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{{\mathrm e}^{-\frac{x \,{\mathrm e}^{5}}{16}-\frac{x^{2}}{16}+\frac{9 x}{8}+5}-x}$&$22$\\ risch&${\mathrm e}^{{\mathrm e}^{-\frac{x \,{\mathrm e}^{5}}{16}-\frac{x^{2}}{16}+\frac{9 x}{8}+5}-x}$&$22$\\ \hline \end{longtable}"," ",0,"exp(exp(-1/16*x*exp(5)-1/16*x^2+9/8*x+5)-x)","A"
7236,1,22,21,0.020000," ","int((-ln(x)-x^2+2*x+3)*exp((ln(x)-x^2-x-2)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{\ln \left(x \right)-x^{2}-x -2}{x}} x^{2}$&$22$\\ risch&${\mathrm e}^{\frac{\ln \left(x \right)-x^{2}-x -2}{x}} x^{2}$&$22$\\ \hline \end{longtable}"," ",0,"exp((ln(x)-x^2-x-2)/x)*x^2","A"
7237,1,45,23,0.038000," ","int(((4*x^2*ln(x)-4*x^3-8*x+8)*ln(x-ln(x))+(x^4-20*x^2-4*x)*ln(x)-x^5+18*x^3+6*x^2+40*x-40)/(4*x*ln(x)-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x -\ln \left(x \right)\right)^{2}+\frac{\ln \left(x -\ln \left(x \right)\right) x^{2}}{2}+\frac{x^{4}}{16}-\frac{5 x^{2}}{2}-x -10 \ln \left(\ln \left(x \right)-x \right)$&$45$\\ \hline \end{longtable}"," ",0,"ln(x-ln(x))^2+1/2*ln(x-ln(x))*x^2+1/16*x^4-5/2*x^2-x-10*ln(ln(x)-x)","A"
7238,1,65,22,0.131000," ","int(((-4*ln(5)^2+8*x*ln(5)-3*x^2)*ln(x)*ln(ln(x))+(20*ln(5)^2-40*x*ln(5)+15*x^2)*ln(x)-4*ln(5)^2+4*x*ln(5)-x^2)/((4*x*ln(5)^2-4*x^2*ln(5)+x^3)*ln(x)*ln(ln(x))+(-20*x*ln(5)^2+20*x^2*ln(5)-5*x^3-2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(x -2 \ln \left(5\right)\right)-\ln \left(x \right)-\ln \left(\ln \left(\ln \left(x \right)\right)-\frac{20 x \ln \left(5\right)^{2}-20 x^{2} \ln \left(5\right)+5 x^{3}+2}{x \left(4 \ln \left(5\right)^{2}-4 x \ln \left(5\right)+x^{2}\right)}\right)$&$65$\\ \hline \end{longtable}"," ",0,"-2*ln(x-2*ln(5))-ln(x)-ln(ln(ln(x))-(20*x*ln(5)^2-20*x^2*ln(5)+5*x^3+2)/x/(4*ln(5)^2-4*x*ln(5)+x^2))","B"
7239,1,13,24,0.024000," ","int((1-x)/x/exp(exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-{\mathrm e}^{2}} \left(\ln \left(x \right)-x \right)$&$13$\\ norman&$-x \,{\mathrm e}^{-{\mathrm e}^{2}}+{\mathrm e}^{-{\mathrm e}^{2}} \ln \left(x \right)$&$18$\\ risch&$-x \,{\mathrm e}^{-{\mathrm e}^{2}}+{\mathrm e}^{-{\mathrm e}^{2}} \ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"1/exp(exp(2))*(ln(x)-x)","A"
7240,1,22,21,0.025000," ","int((-4*x-2)*ln(ln(2))*exp(2/(ln(2*x)+2*x))/(x*ln(3)*ln(2*x)^2+4*x^2*ln(3)*ln(2*x)+4*x^3*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{2}{\ln \left(2 x \right)+2 x}} \ln \left(\ln \left(2\right)\right)}{\ln \left(3\right)}$&$22$\\ \hline \end{longtable}"," ",0,"exp(2/(ln(2*x)+2*x))/ln(3)*ln(ln(2))","A"
7241,1,34,29,0.024000," ","int((x-1)*exp(3-x)+15*x^4+140*x^3+381*x^2+292*x+50,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$50 x +146 x^{2}+127 x^{3}+35 x^{4}+3 x^{5}-x \,{\mathrm e}^{3-x}$&$34$\\ risch&$50 x +146 x^{2}+127 x^{3}+35 x^{4}+3 x^{5}-x \,{\mathrm e}^{3-x}$&$34$\\ default&$50 x +{\mathrm e}^{3-x} \left(3-x \right)-3 \,{\mathrm e}^{3-x}+146 x^{2}+127 x^{3}+35 x^{4}+3 x^{5}$&$45$\\ derivativedivides&$146 \left(3-x \right)^{2}-2778+926 x +127 x^{3}+35 x^{4}+3 x^{5}+{\mathrm e}^{3-x} \left(3-x \right)-3 \,{\mathrm e}^{3-x}$&$50$\\ \hline \end{longtable}"," ",0,"50*x+146*x^2+127*x^3+35*x^4+3*x^5-x*exp(3-x)","A"
7242,1,12,13,0.023000," ","int((exp(2)-3*x^2)/x^2/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 x \,{\mathrm e}^{-2}-\frac{1}{x}$&$12$\\ norman&$\frac{-1-3 x^{2} {\mathrm e}^{-2}}{x}$&$16$\\ default&${\mathrm e}^{-2} \left(-3 x -\frac{{\mathrm e}^{2}}{x}\right)$&$17$\\ gosper&$-\frac{\left(3 x^{2}+{\mathrm e}^{2}\right) {\mathrm e}^{-2}}{x}$&$18$\\ \hline \end{longtable}"," ",0,"-3*x*exp(-2)-1/x","A"
7243,1,48,37,0.126000," ","int((((32*x^2+64*x+32)*ln(x)-x^3-2*x^2)*ln(4*x)^3+(384*x^2+768*x+384)*ln(4*x)^2+(-384*x^2-768*x-384)*ln(x)*ln(4*x)-4608*x^2-9216*x-4608)/(x^3+2*x^2+x)/ln(4*x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 \ln \left(x \right)^{2}-\frac{x^{2}+x +1}{x +1}-\frac{384 \left(-24+16 \ln \left(2\right)^{2}+8 \ln \left(2\right) \ln \left(x \right)\right)}{\left(2 \ln \left(x \right)+4 \ln \left(2\right)\right)^{2}}$&$48$\\ \hline \end{longtable}"," ",0,"16*ln(x)^2-(x^2+x+1)/(x+1)-384*(-24+16*ln(2)^2+8*ln(2)*ln(x))/(2*ln(x)+4*ln(2))^2","A"
7244,1,82,17,0.107000," ","int((-2*ln(x)*ln(1/3*(4*exp(2)-20)*ln(x)/x)+1-ln(x))*exp(ln(1/3*(4*exp(2)-20)*ln(x)/x)/x^2)/x^3/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{-\frac{1}{x^{2}}} \ln \left(x \right)^{\frac{1}{x^{2}}} \left(\frac{4}{3}\right)^{\frac{1}{x^{2}}} \left({\mathrm e}^{2}-5\right)^{\frac{1}{x^{2}}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right) \left(-\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)+\mathrm{csgn}\left(i \ln \left(x \right)\right)\right) \left(-\mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right)}{2 x^{2}}}$&$82$\\ \hline \end{longtable}"," ",0,"x^(-1/x^2)*ln(x)^(1/x^2)*(4/3)^(1/x^2)*(exp(2)-5)^(1/x^2)*exp(-1/2*I*Pi*csgn(I/x*ln(x))*(-csgn(I/x*ln(x))+csgn(I*ln(x)))*(-csgn(I/x*ln(x))+csgn(I/x))/x^2)","C"
7245,1,13,12,0.014000," ","int(1/5*(3^(1/2)*exp(2*x)^(1/2))^(1/5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left(\sqrt{3}\, \sqrt{{\mathrm e}^{2 x}}\right)^{\frac{1}{5}}$&$13$\\ derivativedivides&$\left(\sqrt{3}\, \sqrt{{\mathrm e}^{2 x}}\right)^{\frac{1}{5}}$&$13$\\ default&$\left(\sqrt{3}\, \sqrt{{\mathrm e}^{2 x}}\right)^{\frac{1}{5}}$&$13$\\ \hline \end{longtable}"," ",0,"(3^(1/2)*exp(2*x)^(1/2))^(1/5)","A"
7246,1,113,21,0.026000," ","int((150*x^5-400*x^4+376*x^3-144*x^2+18*x)*ln(x)^2+(110*x^5-290*x^4+236*x^3-126*x^2+70*x-12)*ln(x)+16*x^5-36*x^4+8*x^3-16*x^2+36*x-8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x +26 x^{2} \ln \left(x \right)+9 x^{2} \ln \left(x \right)^{2}+x^{6}-2 x^{5}-x^{4}-2 x^{3}+5 x^{2}-10 x^{3} \ln \left(x \right)+25 x^{6} \ln \left(x \right)^{2}+10 x^{6} \ln \left(x \right)-26 x^{5} \ln \left(x \right)+94 x^{4} \ln \left(x \right)^{2}+12 x^{4} \ln \left(x \right)-12 x \ln \left(x \right)-80 x^{5} \ln \left(x \right)^{2}-48 x^{3} \ln \left(x \right)^{2}$&$113$\\ norman&$4 x +26 x^{2} \ln \left(x \right)+9 x^{2} \ln \left(x \right)^{2}+x^{6}-2 x^{5}-x^{4}-2 x^{3}+5 x^{2}-10 x^{3} \ln \left(x \right)+25 x^{6} \ln \left(x \right)^{2}+10 x^{6} \ln \left(x \right)-26 x^{5} \ln \left(x \right)+94 x^{4} \ln \left(x \right)^{2}+12 x^{4} \ln \left(x \right)-12 x \ln \left(x \right)-80 x^{5} \ln \left(x \right)^{2}-48 x^{3} \ln \left(x \right)^{2}$&$113$\\ risch&$\left(25 x^{6}-80 x^{5}+94 x^{4}-48 x^{3}+9 x^{2}\right) \ln \left(x \right)^{2}+\left(-\frac{25}{3} x^{6}+32 x^{5}-47 x^{4}+32 x^{3}-9 x^{2}\right) \ln \left(x \right)+x^{6}-2 x^{5}-x^{4}-2 x^{3}+5 x^{2}+\left(\frac{55}{3} x^{6}-58 x^{5}+59 x^{4}-42 x^{3}+35 x^{2}-12 x \right) \ln \left(x \right)+4 x$&$120$\\ \hline \end{longtable}"," ",0,"4*x+26*x^2*ln(x)+9*x^2*ln(x)^2+x^6-2*x^5-x^4-2*x^3+5*x^2-10*x^3*ln(x)+25*x^6*ln(x)^2+10*x^6*ln(x)-26*x^5*ln(x)+94*x^4*ln(x)^2+12*x^4*ln(x)-12*x*ln(x)-80*x^5*ln(x)^2-48*x^3*ln(x)^2","B"
7247,1,32,19,0.162000," ","int((((-3*x^2-6*x)*exp(4)*ln(x)+(6*x^3-6*x^2-36*x)*exp(4))*ln(2+x)-3*x^2*exp(4)*ln(x)+(3*x^3-15*x^2)*exp(4)-x^2-x+2)/(x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(3 x^{2} {\mathrm e}^{4}-3 x \,{\mathrm e}^{4} \ln \left(x \right)-15 x \,{\mathrm e}^{4}\right) \ln \left(2+x \right)+\ln \left(x \right)-x$&$32$\\ default&$-15 x \ln \left(2+x \right) {\mathrm e}^{4}-3 \ln \left(x \right) {\mathrm e}^{4} \ln \left(2+x \right) x -x +\ln \left(x \right)+3 \,{\mathrm e}^{4} \ln \left(2+x \right) x^{2}+54 \,{\mathrm e}^{4}$&$42$\\ \hline \end{longtable}"," ",0,"(3*x^2*exp(4)-3*x*exp(4)*ln(x)-15*x*exp(4))*ln(2+x)+ln(x)-x","A"
7248,1,18,21,0.141000," ","int((x*exp(5)*ln(x)^4+(4*x*exp(5)-4*x^2)*ln(x)^3+exp(5)^2-2*x*exp(5)+x^2)/(x*exp(5)^2-2*x^2*exp(5)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(x \right)^{4}}{{\mathrm e}^{5}-x}+\ln \left(x \right)$&$18$\\ norman&$\frac{x \ln \left(x \right)^{4}+{\mathrm e}^{5} \ln \left(x \right)-x \ln \left(x \right)}{{\mathrm e}^{5}-x}$&$27$\\ \hline \end{longtable}"," ",0,"x/(exp(5)-x)*ln(x)^4+ln(x)","A"
7249,1,12,15,0.124000," ","int(((-8*x-8)*ln(x+1)+8*x+72)/(x+1)/ln(x+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{8 \left(x +9\right)}{\ln \left(x +1\right)}$&$12$\\ norman&$\frac{-8 x -72}{\ln \left(x +1\right)}$&$13$\\ derivativedivides&$-\frac{8 \left(x +1\right)}{\ln \left(x +1\right)}-\frac{64}{\ln \left(x +1\right)}$&$21$\\ default&$-\frac{8 \left(x +1\right)}{\ln \left(x +1\right)}-\frac{64}{\ln \left(x +1\right)}$&$21$\\ \hline \end{longtable}"," ",0,"-8*(x+9)/ln(x+1)","A"
7250,1,20,19,0.051000," ","int(1/9*(9*x^2*exp(-x-4)+32*x^3+18)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x^{2}}{9}-{\mathrm e}^{-x -4}-\frac{2}{x}$&$20$\\ norman&$\frac{-2+\frac{16 x^{3}}{9}-x \,{\mathrm e}^{-x -4}}{x}$&$21$\\ derivativedivides&$-\frac{2}{x}-\frac{128 x}{9}-\frac{512}{9}+\frac{16 \left(-x -4\right)^{2}}{9}-{\mathrm e}^{-x -4}$&$28$\\ default&$-\frac{2}{x}-\frac{128 x}{9}-\frac{512}{9}+\frac{16 \left(-x -4\right)^{2}}{9}-{\mathrm e}^{-x -4}$&$28$\\ \hline \end{longtable}"," ",0,"16/9*x^2-exp(-x-4)-2/x","A"
7251,1,15,16,0.029000," ","int(((ln(x)^2+(-3-x)*ln(x)-x-4)*ln(-ln(x)+4+x)+(x-1)*ln(x))/(ln(x)-x-4)/ln(-ln(x)+4+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(x \right)}{\ln \left(-\ln \left(x \right)+4+x \right)}$&$15$\\ \hline \end{longtable}"," ",0,"x/ln(-ln(x)+4+x)*ln(x)","A"
7252,1,16,19,0.028000," ","int(1/3*((5*x^2+5*x)*exp(x)-3*exp(5)^2-3*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -{\mathrm e}^{10} \ln \left(x \right)+\frac{5 \,{\mathrm e}^{x} x}{3}$&$16$\\ default&$-x -{\mathrm e}^{10} \ln \left(x \right)+\frac{5 \,{\mathrm e}^{x} x}{3}$&$18$\\ norman&$-x -{\mathrm e}^{10} \ln \left(x \right)+\frac{5 \,{\mathrm e}^{x} x}{3}$&$18$\\ \hline \end{longtable}"," ",0,"-x-exp(10)*ln(x)+5/3*exp(x)*x","A"
7253,1,16,17,0.017000," ","int(1/3*(16*x^3+36*x^2-8*x)*ln(x)+4/3*x^3+4*x^2-4/3*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x^{2} \left(x^{2}+3 x -1\right) \ln \left(x \right)}{3}$&$16$\\ default&$\frac{4 x^{4} \ln \left(x \right)}{3}+4 x^{3} \ln \left(x \right)-\frac{4 x^{2} \ln \left(x \right)}{3}$&$23$\\ norman&$\frac{4 x^{4} \ln \left(x \right)}{3}+4 x^{3} \ln \left(x \right)-\frac{4 x^{2} \ln \left(x \right)}{3}$&$23$\\ \hline \end{longtable}"," ",0,"4/3*x^2*(x^2+3*x-1)*ln(x)","A"
7254,1,57,19,0.120000," ","int((((-7*x*exp(x)^2-7*x^2)*ln(-10/x)-7*exp(x)^2-7*x)*ln(exp(x)^2+x)+(14*x*exp(x)^2+7*x)*ln(-10/x))/(3*x*exp(x)^3+3*exp(x)*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{7 \left(-2 i \pi  \mathrm{csgn}\left(\frac{i}{x}\right)^{2}+2 i \pi  \mathrm{csgn}\left(\frac{i}{x}\right)^{3}+2 i \pi +2 \ln \left(2\right)+2 \ln \left(5\right)-2 \ln \left(x \right)\right) {\mathrm e}^{-x} \ln \left({\mathrm e}^{2 x}+x \right)}{6}$&$57$\\ \hline \end{longtable}"," ",0,"7/6*(-2*I*Pi*csgn(I/x)^2+2*I*Pi*csgn(I/x)^3+2*I*Pi+2*ln(2)+2*ln(5)-2*ln(x))*exp(-x)*ln(exp(2*x)+x)","C"
7255,1,14,17,0.165000," ","int(2*exp(5)*exp(ln(x+1)-1)^2/(25*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{5} \left(x +1\right)^{2} {\mathrm e}^{-2}}{25}$&$14$\\ risch&$\frac{x^{2} {\mathrm e}^{3}}{25}+\frac{2 x \,{\mathrm e}^{3}}{25}$&$14$\\ gosper&$\frac{x \left(2+x \right) {\mathrm e}^{5} {\mathrm e}^{-2}}{25}$&$23$\\ norman&$\left(\frac{2 \,{\mathrm e}^{5} {\mathrm e}^{-1} x}{25}+\frac{{\mathrm e}^{5} {\mathrm e}^{-1} x^{2}}{25}\right) {\mathrm e}^{-1}$&$27$\\ meijerg&$\frac{2 \left(x +1\right)^{-2 \,{\mathrm e}^{-2}+2} {\mathrm e}^{5} \hypergeom \left(\left[1, 1-2 \,{\mathrm e}^{-2}\right], \left[2\right], -x \right) x \,{\mathrm e}^{-2}}{25}$&$32$\\ \hline \end{longtable}"," ",0,"1/25*exp(5)*exp(ln(x+1)-1)^2","A"
7256,1,338,26,0.162000," ","int(((ln(x)-exp(x^2)-x)*ln((ln(x)^2+(-2*exp(x^2)-2*x)*ln(x)+exp(x^2)^2+2*exp(x^2)*x+x^2)/x^2)+27*ln(x)+(4*x^2-27)*exp(x^2)-25*x-2)/(x^2*ln(x)-x^2*exp(x^2)-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \ln \left({\mathrm e}^{x^{2}}-\ln \left(x \right)+x \right)}{x}+\frac{-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-{\mathrm e}^{x^{2}}-x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-{\mathrm e}^{x^{2}}-x \right)^{2}}{x^{2}}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-{\mathrm e}^{x^{2}}-x \right)^{2}}{x^{2}}\right)^{2}+i \pi  \mathrm{csgn}\left(i \left(\ln \left(x \right)-{\mathrm e}^{x^{2}}-x \right)\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-{\mathrm e}^{x^{2}}-x \right)^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-{\mathrm e}^{x^{2}}-x \right)\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-{\mathrm e}^{x^{2}}-x \right)^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i \left(\ln \left(x \right)-{\mathrm e}^{x^{2}}-x \right)^{2}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)-{\mathrm e}^{x^{2}}-x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-{\mathrm e}^{x^{2}}-x \right)^{2}}{x^{2}}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-{\mathrm e}^{x^{2}}-x \right)^{2}}{x^{2}}\right)^{3}+4 \ln \left(x \right)-50}{2 x}$&$338$\\ \hline \end{longtable}"," ",0,"-2/x*ln(exp(x^2)-ln(x)+x)+1/2*(-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3+I*Pi*csgn(I/x^2)*csgn(I*(ln(x)-exp(x^2)-x)^2)*csgn(I*(ln(x)-exp(x^2)-x)^2/x^2)-I*Pi*csgn(I/x^2)*csgn(I*(ln(x)-exp(x^2)-x)^2/x^2)^2+I*Pi*csgn(I*(ln(x)-exp(x^2)-x))^2*csgn(I*(ln(x)-exp(x^2)-x)^2)+2*I*Pi*csgn(I*(ln(x)-exp(x^2)-x))*csgn(I*(ln(x)-exp(x^2)-x)^2)^2+I*Pi*csgn(I*(ln(x)-exp(x^2)-x)^2)^3-I*Pi*csgn(I*(ln(x)-exp(x^2)-x)^2)*csgn(I*(ln(x)-exp(x^2)-x)^2/x^2)^2+I*Pi*csgn(I*(ln(x)-exp(x^2)-x)^2/x^2)^3+4*ln(x)-50)/x","C"
7257,1,14,13,0.019000," ","int((24*x^2*ln(3)+24*x^2)/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{8 x^{3} \left(\ln \left(3\right)+1\right)}{\ln \left(3\right)}$&$14$\\ norman&$\frac{8 x^{3} \left(\ln \left(3\right)+1\right)}{\ln \left(3\right)}$&$14$\\ risch&$8 x^{3}+\frac{8 x^{3}}{\ln \left(3\right)}$&$16$\\ default&$\frac{8 x^{3} \ln \left(3\right)+8 x^{3}}{\ln \left(3\right)}$&$19$\\ \hline \end{longtable}"," ",0,"8*x^3*(ln(3)+1)/ln(3)","A"
7258,1,25,24,0.395000," ","int((ln(2*exp(exp(exp(3)*exp(exp(x+6)))))+(2-x)*exp(3)*exp(x+6)*exp(exp(x+6))*exp(exp(3)*exp(exp(x+6))))*exp(ln(2*exp(exp(exp(3)*exp(exp(x+6)))))/(x-2))/(x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2^{\frac{1}{x -2}} \left({\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3+{\mathrm e}^{x +6}}}}\right)^{\frac{1}{x -2}}$&$25$\\ \hline \end{longtable}"," ",0,"-2^(1/(x-2))*exp(exp(exp(3+exp(x+6))))^(1/(x-2))","A"
7259,1,37,29,0.053000," ","int(((4*exp(4)+4*x)*ln(1/2*x)^2+((4*x-4)*exp(4)+4*x^2-4*x)*ln(1/2*x)+(-2*x^3-x^2-4*x)*exp(4)-2*x^4-4*x^2)*exp((-ln(1/2*x)^2-2*x*ln(1/2*x)-x^3+2*x^2)/x^2)^2/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x +{\mathrm e}^{4}\right) {\mathrm e}^{-\frac{2 \left(x^{3}+\ln \left(\frac{x}{2}\right)^{2}+2 x \ln \left(\frac{x}{2}\right)-2 x^{2}\right)}{x^{2}}}}{x}$&$37$\\ \hline \end{longtable}"," ",0,"(x+exp(4))/x*exp(-2*(x^3+ln(1/2*x)^2+2*x*ln(1/2*x)-2*x^2)/x^2)","A"
7260,1,87,21,0.058000," ","int((-x*ln(2*x)^2+(-2*x*exp(2+exp(3))-6*x^3-20*x^2-2*x-10)*ln(2*x)-x*exp(2+exp(3))^2+(-6*x^3-20*x^2-2*x-10)*exp(2+exp(3))-5*x^5-20*x^4-2*x^3-10*x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x -5\right) \ln \left(2 x \right)^{2}+\left(-2 x \,{\mathrm e}^{2+{\mathrm e}^{3}}-2 x^{3}-10 x^{2}\right) \ln \left(2 x \right)-x \,{\mathrm e}^{4+2 \,{\mathrm e}^{3}}-2 \,{\mathrm e}^{2+{\mathrm e}^{3}} x^{3}-10 \,{\mathrm e}^{2+{\mathrm e}^{3}} x^{2}-x^{5}-5 x^{4}-10 \ln \left(x \right) {\mathrm e}^{2+{\mathrm e}^{3}}$&$87$\\ norman&$-10 \ln \left(2 x \right) {\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{3}}-5 x^{4}-x^{5}-5 \ln \left(2 x \right)^{2}-x \ln \left(2 x \right)^{2}-10 x^{2} \ln \left(2 x \right)-2 x^{3} \ln \left(2 x \right)-x \,{\mathrm e}^{4} {\mathrm e}^{2 \,{\mathrm e}^{3}}-10 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{3}} x^{2}-2 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{3}} x^{3}-2 x \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{3}} \ln \left(2 x \right)$&$102$\\ derivativedivides&$-x^{5}-2 x^{3} \ln \left(2 x \right)-2 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{3}} x^{3}-5 x^{4}-x \ln \left(2 x \right)^{2}-{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{3}} \left(2 x \ln \left(2 x \right)-2 x \right)-10 x^{2} \ln \left(2 x \right)-x \,{\mathrm e}^{4} {\mathrm e}^{2 \,{\mathrm e}^{3}}-10 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{3}} x^{2}-2 x \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{3}}-5 \ln \left(2 x \right)^{2}-10 \ln \left(2 x \right) {\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{3}}$&$116$\\ default&$-x^{5}-2 x^{3} \ln \left(2 x \right)-2 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{3}} x^{3}-5 x^{4}-x \ln \left(2 x \right)^{2}-{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{3}} \left(2 x \ln \left(2 x \right)-2 x \right)-10 x^{2} \ln \left(2 x \right)-x \,{\mathrm e}^{4} {\mathrm e}^{2 \,{\mathrm e}^{3}}-10 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{3}} x^{2}-2 x \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{3}}-5 \ln \left(2 x \right)^{2}-10 \ln \left(2 x \right) {\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{3}}$&$116$\\ \hline \end{longtable}"," ",0,"(-x-5)*ln(2*x)^2+(-2*x*exp(2+exp(3))-2*x^3-10*x^2)*ln(2*x)-x*exp(4+2*exp(3))-2*exp(2+exp(3))*x^3-10*exp(2+exp(3))*x^2-x^5-5*x^4-10*ln(x)*exp(2+exp(3))","B"
7261,1,1403,28,3.855000," ","int((-98496*x^20-252432*x^19-523680*x^18-884448*x^17+866544*x^11+356640*x^12-369072*x^13-1002816*x^14-1207680*x^16-1296032*x^15+233984*x^7+497088*x^8+996512*x^10+808320*x^9+82560*x^6+20736*x^5+3328*x^4+256*x^3+(8*x^16+72*x^15+288*x^14+672*x^13+992*x^12+864*x^11+96*x^10-1056*x^9-1944*x^8-2008*x^7-1344*x^6-576*x^5-144*x^4-16*x^3)*ln(5)^9+(-72*x^17-720*x^16-3296*x^15-9096*x^14-16600*x^13-20008*x^12-12792*x^11+5624*x^10+26720*x^9+38088*x^8+34024*x^7+20528*x^6+8160*x^5+1936*x^4+208*x^3)*ln(5)^8+(288*x^18+3168*x^17+16280*x^16+51552*x^15+111048*x^14+166928*x^13+164344*x^12+63744*x^11-109016*x^10-263376*x^9-312624*x^8-247904*x^7-136656*x^6-50688*x^5-11424*x^4-1184*x^3)*ln(5)^7+(-672*x^19-8064*x^18-45864*x^17-163240*x^16-402976*x^15-717024*x^14-906808*x^13-713944*x^12-58512*x^11+796656*x^10+1389264*x^9+1429488*x^8+1024160*x^7+520928*x^6+181152*x^5+38816*x^4+3872*x^3)*ln(5)^6+(1008*x^20+13104*x^19+81592*x^18+321552*x^17+891296*x^16+1818768*x^15+2752008*x^14+2948848*x^13+1765856*x^12-636096*x^11-3134704*x^10-4421536*x^9-4045104*x^8-2651952*x^7-1254016*x^6-410400*x^5-83664*x^4-8016*x^3)*ln(5)^5+(-1008*x^21-14112*x^20-95368*x^19-411432*x^18-1261512*x^17-2889992*x^16-5036528*x^15-6586272*x^14-5968528*x^13-2422544*x^12+2904672*x^11+7401248*x^10+8921456*x^9+7384608*x^8+4472960*x^7+1978064*x^6+611136*x^5+118608*x^4+10896*x^3)*ln(5)^4+(672*x^22+10080*x^21+73416*x^20+343616*x^19+1152200*x^18+2918160*x^17+5718832*x^16+8684032*x^15+9906576*x^14+7517632*x^13+1446496*x^12-5840736*x^11-10817504*x^10-11506656*x^9-8728272*x^8-4921888*x^7-2045488*x^6-598176*x^5-110592*x^4-9728*x^3)*ln(5)^3+(-288*x^23-4608*x^22-35960*x^21-181272*x^20-658768*x^19-1823216*x^18-3951792*x^17-6771984*x^16-9080256*x^15-9084192*x^14-5659552*x^13+375072*x^12+6366336*x^11+9595520*x^10+9198320*x^9+6457392*x^8+3411200*x^7+1337760*x^6+371136*x^5+65408*x^4+5504*x^3)*ln(5)^2+(72*x^24+1224*x^23+10184*x^22+54960*x^21+214896*x^20+644016*x^19+1525072*x^18+2894688*x^17+4403552*x^16+5263520*x^15+4629792*x^14+2287104*x^13-952528*x^12-3653904*x^11-4734416*x^10-4151456*x^9-2718720*x^8-1352576*x^7-502336*x^6-132480*x^5-22272*x^4-1792*x^3)*ln(5)-8*x^25-144*x^24-1272*x^23-7312*x^22-30576*x^21)/(-1-18*x-x^18-18*x^17-31824*x^11-18564*x^12-8568*x^13-3060*x^14-153*x^16-816*x^15-31824*x^7-43758*x^8-43758*x^10-48620*x^9-18564*x^6-8568*x^5-3060*x^4-816*x^3-153*x^2+(-126*x^14-1764*x^13-11466*x^12-45864*x^11-126126*x^10-252252*x^9-378378*x^8-432432*x^7-378378*x^6-252252*x^5-126126*x^4-45864*x^3-11466*x^2-1764*x-126)*ln(5)^4+(84*x^15+1260*x^14+8820*x^13+38220*x^12+114660*x^11+252252*x^10+420420*x^9+540540*x^8+540540*x^7+420420*x^6+252252*x^5+114660*x^4+38220*x^3+8820*x^2+1260*x+84)*ln(5)^3+(-36*x^16-576*x^15-4320*x^14-20160*x^13-65520*x^12-157248*x^11-288288*x^10-411840*x^9-463320*x^8-411840*x^7-288288*x^6-157248*x^5-65520*x^4-20160*x^3-4320*x^2-576*x-36)*ln(5)^2+(x^9+9*x^8+36*x^7+84*x^6+126*x^5+126*x^4+84*x^3+36*x^2+9*x+1)*ln(5)^9+(9*x^17+153*x^16+1224*x^15+6120*x^14+21420*x^13+55692*x^12+111384*x^11+175032*x^10+218790*x^9+218790*x^8+175032*x^7+111384*x^6+55692*x^5+21420*x^4+6120*x^3+1224*x^2+153*x+9)*ln(5)+(-9*x^10-90*x^9-405*x^8-1080*x^7-1890*x^6-2268*x^5-1890*x^4-1080*x^3-405*x^2-90*x-9)*ln(5)^8+(36*x^11+396*x^10+1980*x^9+5940*x^8+11880*x^7+16632*x^6+16632*x^5+11880*x^4+5940*x^3+1980*x^2+396*x+36)*ln(5)^7+(-84*x^12-1008*x^11-5544*x^10-18480*x^9-41580*x^8-66528*x^7-77616*x^6-66528*x^5-41580*x^4-18480*x^3-5544*x^2-1008*x-84)*ln(5)^6+(126*x^13+1638*x^12+9828*x^11+36036*x^10+90090*x^9+162162*x^8+216216*x^7+216216*x^6+162162*x^5+90090*x^4+36036*x^3+9828*x^2+1638*x+126)*ln(5)^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-912 x -32 x^{3} \ln \left(5\right)^{2}-360 x^{2} \ln \left(5\right)+x^{8}+8 x^{6}-16 x^{5}+48 x^{4}-144 x^{3}+360 x^{2}+8 x^{3} \ln \left(5\right)^{3}+8 x^{5} \ln \left(5\right)-48 x \ln \left(5\right)^{4}+1112 x \ln \left(5\right)+164 x^{2} \ln \left(5\right)^{2}+104 x^{3} \ln \left(5\right)-\frac{8 \left(-\ln \left(5\right)^{14}+16 \ln \left(5\right)^{13}+183 \ln \left(5\right)^{12}+344 \ln \left(5\right)^{11}-448 \ln \left(5\right)^{10}-1084 \ln \left(5\right)^{9}+1333 \ln \left(5\right)^{8}+1765 \ln \left(5\right)^{7}-3066 \ln \left(5\right)^{6}-924 \ln \left(5\right)^{5}+3948 \ln \left(5\right)^{4}-1386 \ln \left(5\right)^{3}-1848 \ln \left(5\right)^{2}+1716 \ln \left(5\right)-429\right)}{\ln \left(5\right)^{15} \left(x +1\right)}-\frac{8 \left(-\ln \left(5\right)^{22}+8 \ln \left(5\right)^{21}-49 \ln \left(5\right)^{20}+196 \ln \left(5\right)^{19}-530 \ln \left(5\right)^{18}+972 \ln \left(5\right)^{17}-1123 \ln \left(5\right)^{16}+646 \ln \left(5\right)^{15}+\ln \left(5\right)^{14}-16 \ln \left(5\right)^{13}-183 \ln \left(5\right)^{12}-344 \ln \left(5\right)^{11}+448 \ln \left(5\right)^{10}+1084 \ln \left(5\right)^{9}-1333 \ln \left(5\right)^{8}-1765 \ln \left(5\right)^{7}+3066 \ln \left(5\right)^{6}+924 \ln \left(5\right)^{5}-3948 \ln \left(5\right)^{4}+1386 \ln \left(5\right)^{3}+1848 \ln \left(5\right)^{2}-1716 \ln \left(5\right)+429\right)}{\ln \left(5\right)^{15} \left(1+x -\ln \left(5\right)\right)}+8 x^{4} \ln \left(5\right)^{2}-664 x \ln \left(5\right)^{2}-24 x^{4} \ln \left(5\right)-40 x^{2} \ln \left(5\right)^{3}+232 \ln \left(5\right)^{3} x +8 \ln \left(5\right)^{5} x +8 \ln \left(5\right)^{4} x^{2}-\frac{8 \left(35 \ln \left(5\right)^{6}+140 \ln \left(5\right)^{5}+35 \ln \left(5\right)^{4}-245 \ln \left(5\right)^{3}+180 \ln \left(5\right)-75\right)}{5 \ln \left(5\right)^{11} \left(x +1\right)^{5}}-\frac{4 \left(-\ln \left(5\right)^{12}-96 \ln \left(5\right)^{11}-454 \ln \left(5\right)^{10}-240 \ln \left(5\right)^{9}+1305 \ln \left(5\right)^{8}+560 \ln \left(5\right)^{7}-2653 \ln \left(5\right)^{6}+112 \ln \left(5\right)^{5}+3192 \ln \left(5\right)^{4}-1680 \ln \left(5\right)^{3}-1386 \ln \left(5\right)^{2}+1584 \ln \left(5\right)-429\right)}{\ln \left(5\right)^{14} \left(x +1\right)^{2}}-\frac{4 \left(-21 \ln \left(5\right)^{12}+168 \ln \left(5\right)^{11}-594 \ln \left(5\right)^{10}+1176 \ln \left(5\right)^{9}-1302 \ln \left(5\right)^{8}+510 \ln \left(5\right)^{7}+609 \ln \left(5\right)^{6}-924 \ln \left(5\right)^{5}+294 \ln \left(5\right)^{4}+342 \ln \left(5\right)^{3}-399 \ln \left(5\right)^{2}+168 \ln \left(5\right)-27\right)}{3 \ln \left(5\right)^{10} \left(1+x -\ln \left(5\right)\right)^{6}}-\frac{2 \left(-35 \ln \left(5\right)^{16}+280 \ln \left(5\right)^{15}-1064 \ln \left(5\right)^{14}+2408 \ln \left(5\right)^{13}-3246 \ln \left(5\right)^{12}+1952 \ln \left(5\right)^{11}+992 \ln \left(5\right)^{10}-2080 \ln \left(5\right)^{9}-509 \ln \left(5\right)^{8}+2916 \ln \left(5\right)^{7}-1050 \ln \left(5\right)^{6}-2380 \ln \left(5\right)^{5}+2401 \ln \left(5\right)^{4}+168 \ln \left(5\right)^{3}-1428 \ln \left(5\right)^{2}+840 \ln \left(5\right)-165\right)}{\ln \left(5\right)^{12} \left(1+x -\ln \left(5\right)\right)^{4}}-\frac{8 \left(-21 \ln \left(5\right)^{18}+168 \ln \left(5\right)^{17}-693 \ln \left(5\right)^{16}+1806 \ln \left(5\right)^{15}-2997 \ln \left(5\right)^{14}+2790 \ln \left(5\right)^{13}-552 \ln \left(5\right)^{12}-1320 \ln \left(5\right)^{11}-33 \ln \left(5\right)^{10}+2328 \ln \left(5\right)^{9}-573 \ln \left(5\right)^{8}-3363 \ln \left(5\right)^{7}+2478 \ln \left(5\right)^{6}+2499 \ln \left(5\right)^{5}-3822 \ln \left(5\right)^{4}+378 \ln \left(5\right)^{3}+2016 \ln \left(5\right)^{2}-1386 \ln \left(5\right)+297\right)}{3 \ln \left(5\right)^{13} \left(1+x -\ln \left(5\right)\right)^{3}}-\frac{8 \left(-7 \ln \left(5\right)^{10}+56 \ln \left(5\right)^{9}-196 \ln \left(5\right)^{8}+385 \ln \left(5\right)^{7}-441 \ln \left(5\right)^{6}+245 \ln \left(5\right)^{5}+49 \ln \left(5\right)^{4}-189 \ln \left(5\right)^{3}+140 \ln \left(5\right)^{2}-49 \ln \left(5\right)+7\right)}{7 \ln \left(5\right)^{9} \left(1+x -\ln \left(5\right)\right)^{7}}-\frac{4 \left(-7 \ln \left(5\right)^{20}+56 \ln \left(5\right)^{19}-266 \ln \left(5\right)^{18}+840 \ln \left(5\right)^{17}-1765 \ln \left(5\right)^{16}+2356 \ln \left(5\right)^{15}-1640 \ln \left(5\right)^{14}+32 \ln \left(5\right)^{13}+367 \ln \left(5\right)^{12}+784 \ln \left(5\right)^{11}-442 \ln \left(5\right)^{10}-1928 \ln \left(5\right)^{9}+1361 \ln \left(5\right)^{8}+2970 \ln \left(5\right)^{7}-3479 \ln \left(5\right)^{6}-1960 \ln \left(5\right)^{5}+4704 \ln \left(5\right)^{4}-1092 \ln \left(5\right)^{3}-2310 \ln \left(5\right)^{2}+1848 \ln \left(5\right)-429\right)}{\ln \left(5\right)^{14} \left(1+x -\ln \left(5\right)\right)^{2}}-\frac{2 \left(-33 \ln \left(5\right)^{8}-224 \ln \left(5\right)^{7}-252 \ln \left(5\right)^{6}+448 \ln \left(5\right)^{5}+455 \ln \left(5\right)^{4}-672 \ln \left(5\right)^{3}-168 \ln \left(5\right)^{2}+480 \ln \left(5\right)-165\right)}{\ln \left(5\right)^{12} \left(x +1\right)^{4}}-\frac{8 \left(15 \ln \left(5\right)^{10}+204 \ln \left(5\right)^{9}+489 \ln \left(5\right)^{8}-252 \ln \left(5\right)^{7}-1239 \ln \left(5\right)^{6}+609 \ln \left(5\right)^{5}+1554 \ln \left(5\right)^{4}-1260 \ln \left(5\right)^{3}-630 \ln \left(5\right)^{2}+990 \ln \left(5\right)-297\right)}{3 \ln \left(5\right)^{13} \left(x +1\right)^{3}}-\frac{4 \left(-21 \ln \left(5\right)^{4}-48 \ln \left(5\right)^{3}+21 \ln \left(5\right)^{2}+48 \ln \left(5\right)-27\right)}{3 \ln \left(5\right)^{10} \left(x +1\right)^{6}}-\frac{-\ln \left(5\right)^{8}+8 \ln \left(5\right)^{7}-28 \ln \left(5\right)^{6}+56 \ln \left(5\right)^{5}-70 \ln \left(5\right)^{4}+56 \ln \left(5\right)^{3}-28 \ln \left(5\right)^{2}+8 \ln \left(5\right)-1}{\ln \left(5\right)^{8} \left(1+x -\ln \left(5\right)\right)^{8}}-\frac{8 \left(-35 \ln \left(5\right)^{14}+280 \ln \left(5\right)^{13}-1015 \ln \left(5\right)^{12}+2100 \ln \left(5\right)^{11}-2450 \ln \left(5\right)^{10}+980 \ln \left(5\right)^{9}+1330 \ln \left(5\right)^{8}-1825 \ln \left(5\right)^{7}-105 \ln \left(5\right)^{6}+1750 \ln \left(5\right)^{5}-1120 \ln \left(5\right)^{4}-385 \ln \left(5\right)^{3}+840 \ln \left(5\right)^{2}-420 \ln \left(5\right)+75\right)}{5 \ln \left(5\right)^{11} \left(1+x -\ln \left(5\right)\right)^{5}}+\frac{1}{\ln \left(5\right)^{8} \left(x +1\right)^{8}}-\frac{8 \left(7 \ln \left(5\right)^{2}+7 \ln \left(5\right)-7\right)}{7 \ln \left(5\right)^{9} \left(x +1\right)^{7}}$&$1403$\\ norman&$\text{Expression too large to display}$&$1641$\\ risch&$\text{Expression too large to display}$&$2288$\\ gosper&$\text{Expression too large to display}$&$3198$\\ \hline \end{longtable}"," ",0,"-912*x-32*x^3*ln(5)^2-360*x^2*ln(5)+x^8+8*x^6-16*x^5+48*x^4-144*x^3+360*x^2+8*x^3*ln(5)^3+8*x^5*ln(5)-48*x*ln(5)^4+1112*x*ln(5)+164*x^2*ln(5)^2+104*x^3*ln(5)-8/ln(5)^15*(-ln(5)^14+16*ln(5)^13+183*ln(5)^12+344*ln(5)^11-448*ln(5)^10-1084*ln(5)^9+1333*ln(5)^8+1765*ln(5)^7-3066*ln(5)^6-924*ln(5)^5+3948*ln(5)^4-1386*ln(5)^3-1848*ln(5)^2+1716*ln(5)-429)/(x+1)-8*(-ln(5)^22+8*ln(5)^21-49*ln(5)^20+196*ln(5)^19-530*ln(5)^18+972*ln(5)^17-1123*ln(5)^16+646*ln(5)^15+ln(5)^14-16*ln(5)^13-183*ln(5)^12-344*ln(5)^11+448*ln(5)^10+1084*ln(5)^9-1333*ln(5)^8-1765*ln(5)^7+3066*ln(5)^6+924*ln(5)^5-3948*ln(5)^4+1386*ln(5)^3+1848*ln(5)^2-1716*ln(5)+429)/ln(5)^15/(1+x-ln(5))+8*x^4*ln(5)^2-664*x*ln(5)^2-24*x^4*ln(5)-40*x^2*ln(5)^3+232*ln(5)^3*x+8*ln(5)^5*x+8*ln(5)^4*x^2-8/5*(35*ln(5)^6+140*ln(5)^5+35*ln(5)^4-245*ln(5)^3+180*ln(5)-75)/ln(5)^11/(x+1)^5-4*(-ln(5)^12-96*ln(5)^11-454*ln(5)^10-240*ln(5)^9+1305*ln(5)^8+560*ln(5)^7-2653*ln(5)^6+112*ln(5)^5+3192*ln(5)^4-1680*ln(5)^3-1386*ln(5)^2+1584*ln(5)-429)/ln(5)^14/(x+1)^2-4/3*(-21*ln(5)^12+168*ln(5)^11-594*ln(5)^10+1176*ln(5)^9-1302*ln(5)^8+510*ln(5)^7+609*ln(5)^6-924*ln(5)^5+294*ln(5)^4+342*ln(5)^3-399*ln(5)^2+168*ln(5)-27)/ln(5)^10/(1+x-ln(5))^6-2*(-35*ln(5)^16+280*ln(5)^15-1064*ln(5)^14+2408*ln(5)^13-3246*ln(5)^12+1952*ln(5)^11+992*ln(5)^10-2080*ln(5)^9-509*ln(5)^8+2916*ln(5)^7-1050*ln(5)^6-2380*ln(5)^5+2401*ln(5)^4+168*ln(5)^3-1428*ln(5)^2+840*ln(5)-165)/ln(5)^12/(1+x-ln(5))^4-8/3*(-21*ln(5)^18+168*ln(5)^17-693*ln(5)^16+1806*ln(5)^15-2997*ln(5)^14+2790*ln(5)^13-552*ln(5)^12-1320*ln(5)^11-33*ln(5)^10+2328*ln(5)^9-573*ln(5)^8-3363*ln(5)^7+2478*ln(5)^6+2499*ln(5)^5-3822*ln(5)^4+378*ln(5)^3+2016*ln(5)^2-1386*ln(5)+297)/ln(5)^13/(1+x-ln(5))^3-8/7*(-7*ln(5)^10+56*ln(5)^9-196*ln(5)^8+385*ln(5)^7-441*ln(5)^6+245*ln(5)^5+49*ln(5)^4-189*ln(5)^3+140*ln(5)^2-49*ln(5)+7)/ln(5)^9/(1+x-ln(5))^7-4*(-7*ln(5)^20+56*ln(5)^19-266*ln(5)^18+840*ln(5)^17-1765*ln(5)^16+2356*ln(5)^15-1640*ln(5)^14+32*ln(5)^13+367*ln(5)^12+784*ln(5)^11-442*ln(5)^10-1928*ln(5)^9+1361*ln(5)^8+2970*ln(5)^7-3479*ln(5)^6-1960*ln(5)^5+4704*ln(5)^4-1092*ln(5)^3-2310*ln(5)^2+1848*ln(5)-429)/ln(5)^14/(1+x-ln(5))^2-2*(-33*ln(5)^8-224*ln(5)^7-252*ln(5)^6+448*ln(5)^5+455*ln(5)^4-672*ln(5)^3-168*ln(5)^2+480*ln(5)-165)/ln(5)^12/(x+1)^4-8/3*(15*ln(5)^10+204*ln(5)^9+489*ln(5)^8-252*ln(5)^7-1239*ln(5)^6+609*ln(5)^5+1554*ln(5)^4-1260*ln(5)^3-630*ln(5)^2+990*ln(5)-297)/ln(5)^13/(x+1)^3-4/3*(-21*ln(5)^4-48*ln(5)^3+21*ln(5)^2+48*ln(5)-27)/ln(5)^10/(x+1)^6-(-ln(5)^8+8*ln(5)^7-28*ln(5)^6+56*ln(5)^5-70*ln(5)^4+56*ln(5)^3-28*ln(5)^2+8*ln(5)-1)/ln(5)^8/(1+x-ln(5))^8-8/5*(-35*ln(5)^14+280*ln(5)^13-1015*ln(5)^12+2100*ln(5)^11-2450*ln(5)^10+980*ln(5)^9+1330*ln(5)^8-1825*ln(5)^7-105*ln(5)^6+1750*ln(5)^5-1120*ln(5)^4-385*ln(5)^3+840*ln(5)^2-420*ln(5)+75)/ln(5)^11/(1+x-ln(5))^5+1/ln(5)^8/(x+1)^8-8/7*(7*ln(5)^2+7*ln(5)-7)/ln(5)^9/(x+1)^7","B"
7262,1,47,27,0.102000," ","int(((12*x^5-2334*x^4+169344*x^3-5387844*x^2+60706884*x+103766418)*exp(x)-12*x^4+2352*x^3-172284*x^2+5618340*x-69177612)/((4*x^6-780*x^5+56841*x^4-1824956*x^3+21191226*x^2+22588608*x+5764801)*exp(x)^2+(-8*x^6+1560*x^5-114074*x^4+3697736*x^3-44240826*x^2-23059204*x)*exp(x)+4*x^6-780*x^5+57233*x^4-1872780*x^3+23059204*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{6 \left(x -49\right)^{2}}{2 \,{\mathrm e}^{x} x^{3}-195 \,{\mathrm e}^{x} x^{2}-2 x^{3}+4704 \,{\mathrm e}^{x} x +195 x^{2}+2401 \,{\mathrm e}^{x}-4802 x}$&$47$\\ norman&$\frac{-6 x^{2}+588 x -14406}{2 \,{\mathrm e}^{x} x^{3}-195 \,{\mathrm e}^{x} x^{2}-2 x^{3}+4704 \,{\mathrm e}^{x} x +195 x^{2}+2401 \,{\mathrm e}^{x}-4802 x}$&$51$\\ \hline \end{longtable}"," ",0,"-6*(x-49)^2/(2*exp(x)*x^3-195*exp(x)*x^2-2*x^3+4704*exp(x)*x+195*x^2+2401*exp(x)-4802*x)","A"
7263,1,22245,28,6.428000," ","int((((x^4-3*x^3+2*x^2)*exp(x)*ln(x^2)^2+(x^2-3*x+2)*exp(x)*ln(x-2)*ln(x^2))*ln((x^2*ln(x^2)+ln(x-2))/x/ln(x^2))*ln(x/ln((x^2*ln(x^2)+ln(x-2))/x/ln(x^2)))+((x^3-2*x^2)*exp(x)*ln(x^2)^2+(x-2)*exp(x)*ln(x-2)*ln(x^2))*ln((x^2*ln(x^2)+ln(x-2))/x/ln(x^2))+(-x^3+2*x^2)*exp(x)*ln(x^2)^2+((x-2)*exp(x)*ln(x-2)-exp(x)*x)*ln(x^2)+(2*x-4)*exp(x)*ln(x-2))/((x^5-2*x^4)*ln(x^2)^2+(x^3-2*x^2)*ln(x-2)*ln(x^2))/ln((x^2*ln(x^2)+ln(x-2))/x/ln(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$22245$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
7264,1,13,14,0.162000," ","int(900*exp(450/(2*x-1))/(4*x^2-4*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{\frac{450}{2 x -1}}$&$13$\\ derivativedivides&$-{\mathrm e}^{\frac{450}{2 x -1}}$&$13$\\ default&$-{\mathrm e}^{\frac{450}{2 x -1}}$&$13$\\ risch&$-{\mathrm e}^{\frac{450}{2 x -1}}$&$13$\\ norman&$\frac{-2 x \,{\mathrm e}^{\frac{450}{2 x -1}}+{\mathrm e}^{\frac{450}{2 x -1}}}{2 x -1}$&$33$\\ \hline \end{longtable}"," ",0,"-exp(450/(2*x-1))","A"
7265,1,21,20,0.054000," ","int((((18*x*ln(x)+18*x^3-36*x)*ln(ln(x)+x^2-2)-12*x^2*ln(x)-12*x^4+24*x^2)*ln(3*ln(ln(x)+x^2-2)-2*x)-6*x^2*ln(x)-6*x^4+18*x^3+12*x^2+9*x)/((3*ln(x)+3*x^2-6)*ln(ln(x)+x^2-2)-2*x*ln(x)-2*x^3+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x^{2} \ln \left(3 \ln \left(\ln \left(x \right)+x^{2}-2\right)-2 x \right)$&$21$\\ \hline \end{longtable}"," ",0,"3*x^2*ln(3*ln(ln(x)+x^2-2)-2*x)","A"
7266,1,7,26,0.057000," ","int((((2+x)*ln(x)+2)*ln(9*x*exp(4)^2+x)-2*ln(x))/x/ln(x)/ln(9*x*exp(4)^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right)+x$&$7$\\ default&$2 \ln \left(x \right)+x +2 \ln \left(\ln \left(x \right)\right)-2 \ln \left(\ln \left(\left(9 \,{\mathrm e}^{8}+1\right) x \right)\right)$&$26$\\ norman&$x +2 \ln \left(9 x \,{\mathrm e}^{8}+x \right)+2 \ln \left(\ln \left(x \right)\right)-2 \ln \left(\ln \left(9 x \,{\mathrm e}^{8}+x \right)\right)$&$33$\\ \hline \end{longtable}"," ",0,"2*ln(x)+x","A"
7267,1,39,24,0.206000," ","int(((48*x*ln(x)+24*x)*ln(5*x)+(240*x-12)*ln(x)+108*x-60)/(4*x^4*ln(x)^2*ln(5*x)^2+((36*x^4-4*x^3)*ln(x)^2-16*x^3*ln(x))*ln(5*x)+(81*x^4-18*x^3+x^2)*ln(x)^2+(-72*x^3+8*x^2)*ln(x)+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{12 i}{x \left(2 i \ln \left(5\right) x \ln \left(x \right)+2 i x \ln \left(x \right)^{2}+9 i x \ln \left(x \right)-i \ln \left(x \right)-4 i\right)}$&$39$\\ \hline \end{longtable}"," ",0,"-12*I/x/(2*I*ln(5)*x*ln(x)+2*I*x*ln(x)^2+9*I*x*ln(x)-I*ln(x)-4*I)","C"
7268,1,36,27,0.048000," ","int(1/4*((2*x^3+3*x^2-10*x-5)*exp(5)-2*x^4-2*x^3-19*x^2-32*x+155)*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{2 x} \left(x^{3} {\mathrm e}^{5}-x^{4}+x^{3}-5 x \,{\mathrm e}^{5}-11 x^{2}-5 x +80\right)}{4}$&$36$\\ risch&$\frac{{\mathrm e}^{2 x} \left(x^{3} {\mathrm e}^{5}-x^{4}+x^{3}-5 x \,{\mathrm e}^{5}-11 x^{2}-5 x +80\right)}{4}$&$36$\\ norman&$\left(-\frac{5}{4}-\frac{5 \,{\mathrm e}^{5}}{4}\right) x \,{\mathrm e}^{2 x}+\left(\frac{{\mathrm e}^{5}}{4}+\frac{1}{4}\right) x^{3} {\mathrm e}^{2 x}+20 \,{\mathrm e}^{2 x}-\frac{11 \,{\mathrm e}^{2 x} x^{2}}{4}-\frac{{\mathrm e}^{2 x} x^{4}}{4}$&$52$\\ meijerg&$-19+\frac{155 \,{\mathrm e}^{2 x}}{8}+\frac{\left(2 \,{\mathrm e}^{5}-2\right) \left(6-\frac{\left(-32 x^{3}+48 x^{2}-48 x +24\right) {\mathrm e}^{2 x}}{4}\right)}{64}-\frac{\left(3 \,{\mathrm e}^{5}-19\right) \left(2-\frac{\left(12 x^{2}-12 x +6\right) {\mathrm e}^{2 x}}{3}\right)}{32}+\frac{\left(-10 \,{\mathrm e}^{5}-32\right) \left(1-\frac{\left(-4 x +2\right) {\mathrm e}^{2 x}}{2}\right)}{16}-\frac{\left(80 x^{4}-160 x^{3}+240 x^{2}-240 x +120\right) {\mathrm e}^{2 x}}{320}+\frac{5 \,{\mathrm e}^{5} \left(1-{\mathrm e}^{2 x}\right)}{8}$&$125$\\ default&$20 \,{\mathrm e}^{2 x}-\frac{5 x \,{\mathrm e}^{2 x}}{4}-\frac{5 \,{\mathrm e}^{5} {\mathrm e}^{2 x}}{8}-\frac{11 \,{\mathrm e}^{2 x} x^{2}}{4}+\frac{{\mathrm e}^{2 x} x^{3}}{4}-\frac{{\mathrm e}^{2 x} x^{4}}{4}-\frac{5 \,{\mathrm e}^{5} \left(\frac{x \,{\mathrm e}^{2 x}}{2}-\frac{{\mathrm e}^{2 x}}{4}\right)}{2}+\frac{3 \,{\mathrm e}^{5} \left(\frac{{\mathrm e}^{2 x} x^{2}}{2}-\frac{x \,{\mathrm e}^{2 x}}{2}+\frac{{\mathrm e}^{2 x}}{4}\right)}{4}+\frac{{\mathrm e}^{5} \left(\frac{{\mathrm e}^{2 x} x^{3}}{2}-\frac{3 \,{\mathrm e}^{2 x} x^{2}}{4}+\frac{3 x \,{\mathrm e}^{2 x}}{4}-\frac{3 \,{\mathrm e}^{2 x}}{8}\right)}{2}$&$131$\\ \hline \end{longtable}"," ",0,"1/4*exp(x)^2*(x^3*exp(5)-x^4+x^3-5*x*exp(5)-11*x^2-5*x+80)","A"
7269,1,15,16,0.038000," ","int(((27*x^2-2)*exp(x)-54*x)*exp(exp(x))/(2916*x^4-432*x^2+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{{\mathrm e}^{x}}}{108 x^{2}-8}$&$15$\\ risch&$\frac{{\mathrm e}^{{\mathrm e}^{x}}}{108 x^{2}-8}$&$15$\\ \hline \end{longtable}"," ",0,"1/4*exp(exp(x))/(27*x^2-2)","A"
7270,1,45,23,0.036000," ","int(((2*x^4*exp((x^2-1)/x^2)+2*x^6)*ln(5*exp((x^2-1)/x^2)+5*x^2)+(2*x^2+30)*exp((x^2-1)/x^2)+2*x^6+30*x^4)/(x^3*exp((x^2-1)/x^2)+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(5 \,{\mathrm e}^{\frac{\left(x -1\right) \left(x +1\right)}{x^{2}}}+5 x^{2}\right)+15 \ln \left({\mathrm e}^{\frac{\left(x -1\right) \left(x +1\right)}{x^{2}}}+x^{2}\right)-15$&$45$\\ \hline \end{longtable}"," ",0,"x^2*ln(5*exp((x-1)*(x+1)/x^2)+5*x^2)+15*ln(exp((x-1)*(x+1)/x^2)+x^2)-15","A"
7271,1,16,19,0.018000," ","int(((x^3+2*x^2)*exp(x)+16*x^4+x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\ln \left(x \right)+{\mathrm e}^{x} x^{2}+4 x^{4}$&$16$\\ norman&$x +\ln \left(x \right)+{\mathrm e}^{x} x^{2}+4 x^{4}$&$16$\\ risch&$x +\ln \left(x \right)+{\mathrm e}^{x} x^{2}+4 x^{4}$&$16$\\ \hline \end{longtable}"," ",0,"x+ln(x)+exp(x)*x^2+4*x^4","A"
7272,1,26,25,0.030000," ","int(((-x^2*ln(x)-x^3+x^2)*exp(ln(x)/x)+(4*x-16)*exp(x))/(x^4*exp(ln(x)/x)+4*exp(x)*x+2*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\ln \left(x^{\frac{1}{x}}+\frac{2 x^{4}+4 \,{\mathrm e}^{x}}{x^{3}}\right)$&$26$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(x^(1/x)+2*(x^4+2*exp(x))/x^3)","A"
7273,1,22,21,0.120000," ","int(((((-x-25)*exp(1/x)+2*x^2+50*x)*ln(x+25)+(x+25)*exp(1/x)-2*x^2-50*x)*exp(exp(1/x))*ln(-ln(x+25)+1)-x^2*exp(exp(1/x)))/((2*x+50)*ln(x+25)-2*x-50)/ln(-ln(x+25)+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{{\mathrm e}^{\frac{1}{x}}}}{2 \ln \left(-\ln \left(x +25\right)+1\right)}$&$22$\\ \hline \end{longtable}"," ",0,"1/2*x^2/ln(-ln(x+25)+1)*exp(exp(1/x))","A"
7274,1,27,28,0.181000," ","int(((-exp(x)+3)*ln((-exp(2)-25)/(5*exp(x)-15))-exp(x)*x)/((exp(x)*x-3*x)*ln((-exp(2)-25)/(5*exp(x)-15))-exp(x)*x^2+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)+\ln \left(x -\ln \left(\frac{-{\mathrm e}^{2}-25}{5 \,{\mathrm e}^{x}-15}\right)\right)$&$27$\\ norman&$-\ln \left(x \right)+\ln \left(x -\ln \left(\frac{-{\mathrm e}^{2}-25}{5 \,{\mathrm e}^{x}-15}\right)\right)$&$27$\\ risch&$-\ln \left(x \right)+\ln \left(\ln \left({\mathrm e}^{x}-3\right)+\frac{i \left(2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}-3}\right)^{2}-2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}-3}\right)^{3}-2 i \ln \left(5\right)+2 i \ln \left(-{\mathrm e}^{2}-25\right)-2 i x \right)}{2}\right)$&$66$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(x-ln((-exp(2)-25)/(5*exp(x)-15)))","A"
7275,1,41,28,0.149000," ","int(((9*x^4-4*x^2)*exp(1-x)*ln(-9*x^2+4)^2-36*x^3*exp(1-x)*ln(-9*x^2+4)+((-9*x^5+9*x^4+4*x^3-4*x^2)*ln(3)-36*x^4-9*x^3+7*x^2+4*x+4)*exp(1-x))/(9*x^4-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{1-x} \ln \left(-9 x^{2}+4\right)^{2}+\frac{\left(x^{2} \ln \left(3\right)+4 x +1\right) {\mathrm e}^{1-x}}{x}$&$41$\\ \hline \end{longtable}"," ",0,"-exp(1-x)*ln(-9*x^2+4)^2+(x^2*ln(3)+4*x+1)/x*exp(1-x)","A"
7276,1,31,20,0.041000," ","int((16*x^3-24*x^2+4*x-6)/(16*x^4+16*x^3-40*x^2+24*x-5)/ln((8*x^3+12*x^2-14*x+5)/(4*x^2-4*x+1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(\frac{8 x^{3}+12 x^{2}-14 x +5}{4 x^{2}-4 x +1}\right)\right)$&$31$\\ risch&$\ln \left(\ln \left(\frac{8 x^{3}+12 x^{2}-14 x +5}{4 x^{2}-4 x +1}\right)\right)$&$31$\\ \hline \end{longtable}"," ",0,"ln(ln((8*x^3+12*x^2-14*x+5)/(4*x^2-4*x+1)))","A"
7277,1,21,20,0.116000," ","int(1/2*(2*x^4*exp(4*x-8)+(-24*x^4-20*x-15)*exp(4))/x^4/exp(4*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(6 x^{3}+5\right) {\mathrm e}^{-4 x +12}}{2 x^{3}}$&$21$\\ norman&$\frac{\left(x^{4} {\mathrm e}^{4 x -8}+3 x^{3} {\mathrm e}^{4}+\frac{5 \,{\mathrm e}^{4}}{2}\right) {\mathrm e}^{-4 x +8}}{x^{3}}$&$35$\\ derivativedivides&$x -2-14048 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{-4 x +8} \left(\left(4 x -8\right)^{2}+60 x -62\right)}{384 x^{3}}+\frac{{\mathrm e}^{8} \expIntegralEi \left(1, 4 x \right)}{6}\right)-6304 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{-4 x +8} \left(11 \left(4 x -8\right)^{2}+660 x -688\right)}{384 x^{3}}-\frac{11 \,{\mathrm e}^{8} \expIntegralEi \left(1, 4 x \right)}{6}\right)-1152 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{-4 x +8} \left(59 \left(4 x -8\right)^{2}+3552 x -3712\right)}{192 x^{3}}+\frac{59 \,{\mathrm e}^{8} \expIntegralEi \left(1, 4 x \right)}{3}\right)-96 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{-4 x +8} \left(77 \left(4 x -8\right)^{2}+4656 x -4864\right)}{24 x^{3}}-\frac{619 \,{\mathrm e}^{8} \expIntegralEi \left(1, 4 x \right)}{3}\right)-3 \,{\mathrm e}^{4} \left(-{\mathrm e}^{-4 x +8}-\frac{2 \,{\mathrm e}^{-4 x +8} \left(49 \left(4 x -8\right)^{2}+2976 x -3104\right)}{3 x^{3}}+\frac{6368 \,{\mathrm e}^{8} \expIntegralEi \left(1, 4 x \right)}{3}\right)$&$205$\\ default&$x -2-14048 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{-4 x +8} \left(\left(4 x -8\right)^{2}+60 x -62\right)}{384 x^{3}}+\frac{{\mathrm e}^{8} \expIntegralEi \left(1, 4 x \right)}{6}\right)-6304 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{-4 x +8} \left(11 \left(4 x -8\right)^{2}+660 x -688\right)}{384 x^{3}}-\frac{11 \,{\mathrm e}^{8} \expIntegralEi \left(1, 4 x \right)}{6}\right)-1152 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{-4 x +8} \left(59 \left(4 x -8\right)^{2}+3552 x -3712\right)}{192 x^{3}}+\frac{59 \,{\mathrm e}^{8} \expIntegralEi \left(1, 4 x \right)}{3}\right)-96 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{-4 x +8} \left(77 \left(4 x -8\right)^{2}+4656 x -4864\right)}{24 x^{3}}-\frac{619 \,{\mathrm e}^{8} \expIntegralEi \left(1, 4 x \right)}{3}\right)-3 \,{\mathrm e}^{4} \left(-{\mathrm e}^{-4 x +8}-\frac{2 \,{\mathrm e}^{-4 x +8} \left(49 \left(4 x -8\right)^{2}+2976 x -3104\right)}{3 x^{3}}+\frac{6368 \,{\mathrm e}^{8} \expIntegralEi \left(1, 4 x \right)}{3}\right)$&$205$\\ meijerg&$-\frac{{\mathrm e}^{-4 x +4 x \,{\mathrm e}^{8}} \left(1-{\mathrm e}^{4 x \left(-{\mathrm e}^{8}+1\right)}\right)}{4 \left(-{\mathrm e}^{8}+1\right)}-3 \,{\mathrm e}^{-4 x +4+4 x \,{\mathrm e}^{8}} \left(1-{\mathrm e}^{-4 x \,{\mathrm e}^{8}}\right)-160 \,{\mathrm e}^{-4 x +28+4 x \,{\mathrm e}^{8}} \left(-\frac{{\mathrm e}^{-16}}{32 x^{2}}+\frac{{\mathrm e}^{-8}}{4 x}+\frac{13}{4}+\frac{\ln \left(x \right)}{2}+\ln \left(2\right)+\frac{{\mathrm e}^{-16} \left(144 x^{2} {\mathrm e}^{16}-48 x \,{\mathrm e}^{8}+6\right)}{192 x^{2}}-\frac{{\mathrm e}^{-16-4 x \,{\mathrm e}^{8}} \left(-12 x \,{\mathrm e}^{8}+3\right)}{96 x^{2}}-\frac{\ln \left(4 x \,{\mathrm e}^{8}\right)}{2}-\frac{\expIntegralEi \left(1, 4 x \,{\mathrm e}^{8}\right)}{2}\right)-480 \,{\mathrm e}^{4 x \,{\mathrm e}^{8}+36-4 x} \left(-\frac{{\mathrm e}^{-24}}{192 x^{3}}+\frac{{\mathrm e}^{-16}}{32 x^{2}}-\frac{{\mathrm e}^{-8}}{8 x}-\frac{37}{36}-\frac{\ln \left(x \right)}{6}-\frac{\ln \left(2\right)}{3}+\frac{{\mathrm e}^{-24} \left(-1408 x^{3} {\mathrm e}^{24}+576 x^{2} {\mathrm e}^{16}-144 x \,{\mathrm e}^{8}+24\right)}{4608 x^{3}}-\frac{{\mathrm e}^{-24-4 x \,{\mathrm e}^{8}} \left(64 x^{2} {\mathrm e}^{16}-16 x \,{\mathrm e}^{8}+8\right)}{1536 x^{3}}+\frac{\ln \left(4 x \,{\mathrm e}^{8}\right)}{6}+\frac{\expIntegralEi \left(1, 4 x \,{\mathrm e}^{8}\right)}{6}\right)$&$268$\\ \hline \end{longtable}"," ",0,"x+1/2/x^3*(6*x^3+5)*exp(-4*x+12)","A"
7278,1,23,16,0.114000," ","int((-1250*exp(x)-1250)/(exp(3)*exp(x)^2+(2*x*exp(3)+625)*exp(x)+x^2*exp(3)+625*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 \ln \left({\mathrm e}^{x}+x \right)+2 \ln \left({\mathrm e}^{x} {\mathrm e}^{3}+x \,{\mathrm e}^{3}+625\right)$&$23$\\ risch&$2 \ln \left({\mathrm e}^{x}+\left(x \,{\mathrm e}^{3}+625\right) {\mathrm e}^{-3}\right)-2 \ln \left({\mathrm e}^{x}+x \right)$&$24$\\ \hline \end{longtable}"," ",0,"-2*ln(exp(x)+x)+2*ln(exp(x)*exp(3)+x*exp(3)+625)","A"
7279,1,33,26,0.057000," ","int((((x+1)*exp(3+x)+2*x+2)*ln(x)*ln(ln(x))*ln(ln(ln(x)))+((-2*x-2)*exp(3+x)-4*x-3)*ln(x)*ln(ln(x))+exp(3+x)+2+x)*exp((exp(3+x)*x+x^2+2*x)*ln(ln(ln(x)))-2*exp(3+x)*x-2*x^2-3*x-7)/ln(x)/ln(ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)\right)^{\left({\mathrm e}^{3+x}+x +2\right) x} {\mathrm e}^{-7-2 \,{\mathrm e}^{3+x} x -2 x^{2}-3 x}$&$33$\\ \hline \end{longtable}"," ",0,"ln(ln(x))^((exp(3+x)+x+2)*x)*exp(-7-2*exp(3+x)*x-2*x^2-3*x)","A"
7280,1,120,31,0.070000," ","int(((-3*x^2+15)*exp(exp(2))^2+((2*x^3-6*x^2-6*x+30)*exp(x)+4*x^4-4*x^3-18*x^2+24*x-90)*exp(exp(2))+(2*x^3-3*x^2-6*x+15)*exp(x)^2+(-4*x^5+6*x^4+2*x^3-24*x^2+42*x-90)*exp(x)+4*x^6-x^4-12*x^3+90*x^2-72*x+135)/x^6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x +\frac{\left(-4 \,{\mathrm e}^{{\mathrm e}^{2}}+1\right) x^{4}+\left(6+2 \,{\mathrm e}^{{\mathrm e}^{2}}\right) x^{3}+\left({\mathrm e}^{2 \,{\mathrm e}^{2}}+6 \,{\mathrm e}^{{\mathrm e}^{2}}-30\right) x^{2}+\left(18-6 \,{\mathrm e}^{{\mathrm e}^{2}}\right) x -3 \,{\mathrm e}^{2 \,{\mathrm e}^{2}}+18 \,{\mathrm e}^{{\mathrm e}^{2}}-27}{x^{5}}+\frac{\left(x^{2}-3\right) {\mathrm e}^{2 x}}{x^{5}}+\frac{2 \left(-2 x^{4}+x^{2} {\mathrm e}^{{\mathrm e}^{2}}+x^{3}+3 x^{2}-3 \,{\mathrm e}^{{\mathrm e}^{2}}-3 x +9\right) {\mathrm e}^{x}}{x^{5}}$&$120$\\ norman&$\frac{\left(6+2 \,{\mathrm e}^{{\mathrm e}^{2}}\right) x^{3}+\left(18-6 \,{\mathrm e}^{{\mathrm e}^{2}}\right) x +\left(18-6 \,{\mathrm e}^{{\mathrm e}^{2}}\right) {\mathrm e}^{x}+\left(-4 \,{\mathrm e}^{{\mathrm e}^{2}}+1\right) x^{4}+\left({\mathrm e}^{2 \,{\mathrm e}^{2}}+6 \,{\mathrm e}^{{\mathrm e}^{2}}-30\right) x^{2}+{\mathrm e}^{2 x} x^{2}+\left(6+2 \,{\mathrm e}^{{\mathrm e}^{2}}\right) x^{2} {\mathrm e}^{x}+4 x^{6}-3 \,{\mathrm e}^{2 x}-6 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x} x^{3}-4 \,{\mathrm e}^{x} x^{4}-3 \,{\mathrm e}^{2 \,{\mathrm e}^{2}}+18 \,{\mathrm e}^{{\mathrm e}^{2}}-27}{x^{5}}$&$127$\\ default&$4 x -\frac{27}{x^{5}}+\frac{18}{x^{4}}-\frac{30}{x^{3}}+\frac{6}{x^{2}}+\frac{1}{x}+\frac{18 \,{\mathrm e}^{x}}{x^{5}}-\frac{6 \,{\mathrm e}^{x}}{x^{4}}+\frac{6 \,{\mathrm e}^{x}}{x^{3}}+\frac{2 \,{\mathrm e}^{x}}{x^{2}}-\frac{4 \,{\mathrm e}^{x}}{x}+\frac{18 \,{\mathrm e}^{{\mathrm e}^{2}}}{x^{5}}-\frac{3 \,{\mathrm e}^{2 \,{\mathrm e}^{2}}}{x^{5}}-\frac{6 \,{\mathrm e}^{{\mathrm e}^{2}}}{x^{4}}+\frac{6 \,{\mathrm e}^{{\mathrm e}^{2}}}{x^{3}}+\frac{2 \,{\mathrm e}^{{\mathrm e}^{2}}}{x^{2}}-\frac{3 \,{\mathrm e}^{2 x}}{x^{5}}+\frac{{\mathrm e}^{2 x}}{x^{3}}-\frac{4 \,{\mathrm e}^{{\mathrm e}^{2}}}{x}+\frac{{\mathrm e}^{2 \,{\mathrm e}^{2}}}{x^{3}}+30 \,{\mathrm e}^{{\mathrm e}^{2}} \left(-\frac{{\mathrm e}^{x}}{5 x^{5}}-\frac{{\mathrm e}^{x}}{20 x^{4}}-\frac{{\mathrm e}^{x}}{60 x^{3}}-\frac{{\mathrm e}^{x}}{120 x^{2}}-\frac{{\mathrm e}^{x}}{120 x}-\frac{\expIntegralEi \left(1, -x \right)}{120}\right)-6 \,{\mathrm e}^{{\mathrm e}^{2}} \left(-\frac{{\mathrm e}^{x}}{4 x^{4}}-\frac{{\mathrm e}^{x}}{12 x^{3}}-\frac{{\mathrm e}^{x}}{24 x^{2}}-\frac{{\mathrm e}^{x}}{24 x}-\frac{\expIntegralEi \left(1, -x \right)}{24}\right)-6 \,{\mathrm e}^{{\mathrm e}^{2}} \left(-\frac{{\mathrm e}^{x}}{3 x^{3}}-\frac{{\mathrm e}^{x}}{6 x^{2}}-\frac{{\mathrm e}^{x}}{6 x}-\frac{\expIntegralEi \left(1, -x \right)}{6}\right)+2 \,{\mathrm e}^{{\mathrm e}^{2}} \left(-\frac{{\mathrm e}^{x}}{2 x^{2}}-\frac{{\mathrm e}^{x}}{2 x}-\frac{\expIntegralEi \left(1, -x \right)}{2}\right)$&$289$\\ \hline \end{longtable}"," ",0,"4*x+((-4*exp(exp(2))+1)*x^4+(6+2*exp(exp(2)))*x^3+(exp(2*exp(2))+6*exp(exp(2))-30)*x^2+(18-6*exp(exp(2)))*x-3*exp(2*exp(2))+18*exp(exp(2))-27)/x^5+(x^2-3)/x^5*exp(2*x)+2*(-2*x^4+x^2*exp(exp(2))+x^3+3*x^2-3*exp(exp(2))-3*x+9)/x^5*exp(x)","B"
7281,1,17,24,0.135000," ","int((64*x^3*exp(ln(-16/25*x^2-1)-4)+64*x^4+84*x^2-25)/(32*x^4+50*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\frac{1}{2 x}-\frac{16 \,{\mathrm e}^{-4} x^{2}}{25}$&$17$\\ risch&$2 x +\frac{1}{2 x}-\frac{16 \,{\mathrm e}^{-4} x^{2}}{25}$&$17$\\ norman&$\frac{\frac{1}{2}+2 x^{2}-\frac{16 \,{\mathrm e}^{-4} x^{3}}{25}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"2*x+1/2/x-16/25*exp(-4)*x^2","A"
7282,1,30,19,0.069000," ","int(((4*x^3-18)*exp(2)^2+(-96*x^4+432*x)*exp(2)+576*x^5+144*x^3-2592*x^2)/(3*x^3*exp(2)^2-72*x^4*exp(2)+432*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x}{3}+\frac{4 x^{2}+3 \,{\mathrm e}^{2}-36 x}{x^{2} \left(-12 x +{\mathrm e}^{2}\right)}$&$30$\\ norman&$\frac{\left(\frac{{\mathrm e}^{4}}{9}+4\right) x^{2}-36 x -16 x^{4}+3 \,{\mathrm e}^{2}}{x^{2} \left(-12 x +{\mathrm e}^{2}\right)}$&$38$\\ gosper&$\frac{x^{2} {\mathrm e}^{4}-144 x^{4}+36 x^{2}+27 \,{\mathrm e}^{2}-324 x}{9 x^{2} \left(-12 x +{\mathrm e}^{2}\right)}$&$40$\\ \hline \end{longtable}"," ",0,"4/3*x+(4*x^2+3*exp(2)-36*x)/x^2/(-12*x+exp(2))","A"
7283,1,24,19,0.049000," ","int(((-8000*x^2+4000)*exp(x^2)^2+(-4100*x^3+2050*x)*exp(x^2))/(125*exp(x^2)^3+75*x*exp(x^2)^2+15*x^2*exp(x^2)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x \left(57 x +160 \,{\mathrm e}^{x^{2}}\right)}{\left(5 \,{\mathrm e}^{x^{2}}+x \right)^{2}}$&$24$\\ norman&$\frac{-7125 \,{\mathrm e}^{2 x^{2}}-2050 \,{\mathrm e}^{x^{2}} x}{\left(5 \,{\mathrm e}^{x^{2}}+x \right)^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"5*x*(57*x+160*exp(x^2))/(5*exp(x^2)+x)^2","A"
7284,1,72,17,0.260000," ","int(((1679616*x^8+44789760*x^7+522547200*x^6+3483648000*x^5+14515200000*x^4+38707200000*x^3+64512000000*x^2+61440000000*x+25600000000)*ln(3)-1679616*x^8-44789760*x^7-522547200*x^6-3483642816*x^5-14515148160*x^4-38707027200*x^3-64511808000*x^2-61440000000*x-25600000000)/((1679616*x^8+44789760*x^7+522547200*x^6+3483648000*x^5+14515200000*x^4+38707200000*x^3+64512000000*x^2+61440000000*x+25600000000)*ln(3)^2+(-3359232*x^8-89579520*x^7-1045094400*x^6-6967293408*x^5-29030365440*x^4-77414227200*x^3-129023616000*x^2-122879680000*x-51200000000)*ln(3)+1679616*x^8+44789760*x^7+522547200*x^6+3483645408*x^5+14515165440*x^4+38707027200*x^3+64511616001*x^2+61439680000*x+25600000000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{\ln \left(3\right)-1}-\frac{x^{2}}{1296 \left(\ln \left(3\right)-1\right) \left(x^{4} \ln \left(3\right)+\frac{40 x^{3} \ln \left(3\right)}{3}-x^{4}+\frac{200 x^{2} \ln \left(3\right)}{3}-\frac{40 x^{3}}{3}+\frac{4000 x \ln \left(3\right)}{27}-\frac{200 x^{2}}{3}+\frac{10000 \ln \left(3\right)}{81}-\frac{191999 x}{1296}-\frac{10000}{81}\right)}$&$72$\\ risch&$\frac{x}{\ln \left(3\right)-1}-\frac{x^{2}}{1296 \left(\ln \left(3\right)-1\right) \left(x^{4} \ln \left(3\right)+\frac{40 x^{3} \ln \left(3\right)}{3}-x^{4}+\frac{200 x^{2} \ln \left(3\right)}{3}-\frac{40 x^{3}}{3}+\frac{4000 x \ln \left(3\right)}{27}-\frac{200 x^{2}}{3}+\frac{10000 \ln \left(3\right)}{81}-\frac{191999 x}{1296}-\frac{10000}{81}\right)}$&$72$\\ norman&$\frac{-960000 x^{2}-144000 x^{3}-\frac{40 \left(-179999+180000 \ln \left(3\right)\right) x}{3 \left(\ln \left(3\right)-1\right)}+1296 x^{5}-\frac{6400000}{3}}{1296 x^{4} \ln \left(3\right)+17280 x^{3} \ln \left(3\right)-1296 x^{4}+86400 x^{2} \ln \left(3\right)-17280 x^{3}+192000 x \ln \left(3\right)-86400 x^{2}+160000 \ln \left(3\right)-191999 x -160000}$&$86$\\ gosper&$\frac{1296 x^{5} \ln \left(3\right)-1296 x^{5}-144000 x^{3} \ln \left(3\right)-960000 x^{2} \ln \left(3\right)+144000 x^{3}-2400000 x \ln \left(3\right)+960000 x^{2}-\frac{6400000 \ln \left(3\right)}{3}+\frac{7199960 x}{3}+\frac{6400000}{3}}{\left(1296 x^{4} \ln \left(3\right)+17280 x^{3} \ln \left(3\right)-1296 x^{4}+86400 x^{2} \ln \left(3\right)-17280 x^{3}+192000 x \ln \left(3\right)-86400 x^{2}+160000 \ln \left(3\right)-191999 x -160000\right) \left(\ln \left(3\right)-1\right)}$&$111$\\ \hline \end{longtable}"," ",0,"1/(ln(3)-1)*x-1/1296/(ln(3)-1)*x^2/(x^4*ln(3)+40/3*x^3*ln(3)-x^4+200/3*x^2*ln(3)-40/3*x^3+4000/27*x*ln(3)-200/3*x^2+10000/81*ln(3)-191999/1296*x-10000/81)","B"
7285,1,24,21,0.154000," ","int(((2*x^3*exp(15)*exp(x)+(-x^4+2*x^3)*exp(15))*exp((x^2*exp(15)*exp(x)+x^2*exp(15))/exp(x))-exp(x)*ln(x)+exp(x))/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{x}+{\mathrm e}^{x^{2} \left({\mathrm e}^{x +15}+{\mathrm e}^{15}\right) {\mathrm e}^{-x}}$&$24$\\ default&${\mathrm e}^{x^{2} \left({\mathrm e}^{15} {\mathrm e}^{x}+{\mathrm e}^{15}\right) {\mathrm e}^{-x}}+\frac{\ln \left(x \right)}{x}$&$29$\\ \hline \end{longtable}"," ",0,"ln(x)/x+exp(x^2*(exp(x+15)+exp(15))*exp(-x))","A"
7286,1,24,19,0.164000," ","int(((-12*ln(3)+24*x)*ln(x)+4*ln(3)+12*x^2+4*x)*exp((12*ln(x)+12*x+8)/(3*x*ln(3)-3*x^2))/(3*x^2*ln(3)^2-6*x^3*ln(3)+3*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{4 \ln \left(x \right)+4 x +\frac{8}{3}}{x \left(\ln \left(3\right)-x \right)}}$&$24$\\ norman&$\frac{x \ln \left(3\right) {\mathrm e}^{\frac{12 \ln \left(x \right)+12 x +8}{3 x \ln \left(3\right)-3 x^{2}}}-x^{2} {\mathrm e}^{\frac{12 \ln \left(x \right)+12 x +8}{3 x \ln \left(3\right)-3 x^{2}}}}{x \left(\ln \left(3\right)-x \right)}$&$71$\\ \hline \end{longtable}"," ",0,"exp(4/3*(3*ln(x)+3*x+2)/x/(ln(3)-x))","A"
7287,1,22,18,0.344000," ","int(((400*x-1600)*ln(x-4)*ln(ln(x-4))+((-300*x+1200)*exp(5)+700*x-2800)*ln(x-4)-400*x)/((400*x-1600)*ln(x-4)*ln(ln(x-4))^2+((-600*x+2400)*exp(5)+960*x^2-2440*x-5600)*ln(x-4)*ln(ln(x-4))+((225*x-900)*exp(5)^2+(-720*x^2+1830*x+4200)*exp(5)+576*x^3-624*x^2-5495*x-4900)*ln(x-4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{20 x}{15 \,{\mathrm e}^{5}-20 \ln \left(\ln \left(x -4\right)\right)-24 x -35}$&$22$\\ \hline \end{longtable}"," ",0,"-20*x/(15*exp(5)-20*ln(ln(x-4))-24*x-35)","A"
7288,1,27,16,0.024000," ","int((450*x^2+900*x+75)*exp(3*x^2)+225*x^2+300*x+150,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(150+75 x \right) {\mathrm e}^{3 x^{2}}+75 x^{3}+150 x^{2}+150 x$&$27$\\ default&$150 x +150 x^{2}+75 x^{3}+75 x \,{\mathrm e}^{3 x^{2}}+150 \,{\mathrm e}^{3 x^{2}}$&$32$\\ norman&$150 x +150 x^{2}+75 x^{3}+75 x \,{\mathrm e}^{3 x^{2}}+150 \,{\mathrm e}^{3 x^{2}}$&$32$\\ \hline \end{longtable}"," ",0,"(150+75*x)*exp(3*x^2)+75*x^3+150*x^2+150*x","A"
7289,1,20,29,0.023000," ","int((((-2*x-1)*exp(2*x+1/4)-1)*ln(x)^2+ln(x)-1)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{2 x +\frac{1}{4}}-x +\frac{x}{\ln \left(x \right)}$&$20$\\ norman&$\frac{x -x \ln \left(x \right)-x \,{\mathrm e}^{2 x +\frac{1}{4}} \ln \left(x \right)}{\ln \left(x \right)}$&$24$\\ default&$-x -\frac{{\mathrm e}^{2 x +\frac{1}{4}} \left(2 x +\frac{1}{4}\right)}{2}+\frac{{\mathrm e}^{2 x +\frac{1}{4}}}{8}+\frac{x}{\ln \left(x \right)}$&$32$\\ \hline \end{longtable}"," ",0,"-x*exp(2*x+1/4)-x+x/ln(x)","A"
7290,1,19,28,0.059000," ","int(((3*x+3)*exp(-exp(2)^2+x)-8*x)*exp(3*x*exp(-exp(2)^2+x)-4*x^2+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{3 \,{\mathrm e}^{x -{\mathrm e}^{4}} x -4 x^{2}+5}$&$19$\\ norman&${\mathrm e}^{3 \,{\mathrm e}^{x -{\mathrm e}^{4}} x -4 x^{2}+5}$&$21$\\ \hline \end{longtable}"," ",0,"exp(3*exp(x-exp(4))*x-4*x^2+5)","A"
7291,1,30,29,0.254000," ","int(((x+16)*exp(-exp(2)*x+x)^2+((4*exp(2)*x-4*x)*exp(4)+(-4*x^2+16*x)*exp(2)+2*x^2-52*x)*exp(-exp(2)*x+x)+4*x*exp(4)+x^3+16*x^2+16*x)/(x*exp(-exp(2)*x+x)^2-2*x^2*exp(-exp(2)*x+x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +16 \ln \left(x \right)-\frac{4 \left(4-x +{\mathrm e}^{4}\right)}{x -{\mathrm e}^{-\left({\mathrm e}^{2}-1\right) x}}$&$30$\\ norman&$\frac{x^{2}+4 \,{\mathrm e}^{-{\mathrm e}^{2} x +x}-x \,{\mathrm e}^{-{\mathrm e}^{2} x +x}-16-4 \,{\mathrm e}^{4}}{x -{\mathrm e}^{-{\mathrm e}^{2} x +x}}+16 \ln \left(x \right)$&$51$\\ \hline \end{longtable}"," ",0,"x+16*ln(x)-4*(4-x+exp(4))/(x-exp(-(exp(2)-1)*x))","A"
7292,0,0,16,0.016000," ","int((4*x^2*exp(x^2)*ln(x)-4*x^3*exp(x^2)+2*x-2)*exp(exp(x^2))^2/(x*ln(x)^3-3*x^2*ln(x)^2+3*x^3*ln(x)-x^4),x)","\[\int \frac{\left(4 x^{2} {\mathrm e}^{x^{2}} \ln \left(x \right)-4 x^{3} {\mathrm e}^{x^{2}}+2 x -2\right) {\mathrm e}^{2 \,{\mathrm e}^{x^{2}}}}{x \ln \left(x \right)^{3}-3 x^{2} \ln \left(x \right)^{2}+3 x^{3} \ln \left(x \right)-x^{4}}\, dx\]"," ",0,"int((4*x^2*exp(x^2)*ln(x)-4*x^3*exp(x^2)+2*x-2)*exp(exp(x^2))^2/(x*ln(x)^3-3*x^2*ln(x)^2+3*x^3*ln(x)-x^4),x)","F"
7293,1,58,27,0.079000," ","int(((-16*x^3-16*x^2+48*x+48)*exp(1)^2+(4*x^6-4*x^5-36*x^4+36*x^3)*exp(1)+2*x^9-17*x^8+45*x^7-27*x^6-27*x^5)/(x^8-9*x^7+27*x^6-27*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+x +\frac{-4 x^{5} {\mathrm e}+8 x^{4} {\mathrm e}+4 x^{2} {\mathrm e}^{2}+12 x^{3} {\mathrm e}+8 \,{\mathrm e}^{2} x +4 \,{\mathrm e}^{2}}{x^{4} \left(x^{2}-6 x +9\right)}$&$58$\\ default&$x^{2}+x -\frac{-\frac{160 \,{\mathrm e}^{2}}{243}-\frac{4 \,{\mathrm e}}{3}}{x}+\frac{4 \,{\mathrm e}^{2}}{9 x^{4}}+\frac{32 \,{\mathrm e}^{2}}{27 x^{3}}+\frac{32 \,{\mathrm e}^{2}}{27 x^{2}}-\frac{\frac{160 \,{\mathrm e}^{2}}{243}+\frac{16 \,{\mathrm e}}{3}}{x -3}+\frac{64 \,{\mathrm e}^{2}}{81 \left(x -3\right)^{2}}$&$66$\\ norman&$\frac{x^{8}+\left(8 \,{\mathrm e}-27\right) x^{4}+\left(-4 \,{\mathrm e}+27\right) x^{5}-5 x^{7}+4 \,{\mathrm e}^{2}+8 \,{\mathrm e}^{2} x +4 x^{2} {\mathrm e}^{2}+12 x^{3} {\mathrm e}}{x^{4} \left(x -3\right)^{2}}$&$68$\\ gosper&$\frac{x^{8}-5 x^{7}-4 x^{5} {\mathrm e}+8 x^{4} {\mathrm e}+27 x^{5}+4 x^{2} {\mathrm e}^{2}+12 x^{3} {\mathrm e}-27 x^{4}+8 \,{\mathrm e}^{2} x +4 \,{\mathrm e}^{2}}{x^{4} \left(x^{2}-6 x +9\right)}$&$77$\\ \hline \end{longtable}"," ",0,"x^2+x+(-4*x^5*exp(1)+8*x^4*exp(1)+4*x^2*exp(2)+12*x^3*exp(1)+8*exp(2)*x+4*exp(2))/x^4/(x^2-6*x+9)","B"
7294,1,44,31,0.421000," ","int((-8*3^(1/4)-16*exp(2)+8*x-16)/(4*3^(1/2)+(16*exp(2)-8*x+16)*3^(1/4)+16*exp(2)^2+(-16*x+32)*exp(2)+4*x^2-16*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(4 \sqrt{3}+\left(16 \,{\mathrm e}^{2}-8 x +16\right) 3^{\frac{1}{4}}+16 \,{\mathrm e}^{4}+\left(-16 x +32\right) {\mathrm e}^{2}+4 x^{2}-16 x +25\right)$&$44$\\ risch&$\ln \left(4 x^{2}+\left(-8 \,3^{\frac{1}{4}}-16 \,{\mathrm e}^{2}-16\right) x +16 \,{\mathrm e}^{4}+16 \,3^{\frac{1}{4}} {\mathrm e}^{2}+32 \,{\mathrm e}^{2}+4 \sqrt{3}+16 \,3^{\frac{1}{4}}+25\right)$&$47$\\ default&$\ln \left(16 \,{\mathrm e}^{4}+16 \,3^{\frac{1}{4}} {\mathrm e}^{2}-16 \,{\mathrm e}^{2} x -8 \,3^{\frac{1}{4}} x +4 x^{2}+32 \,{\mathrm e}^{2}+4 \sqrt{3}+16 \,3^{\frac{1}{4}}-16 x +25\right)$&$50$\\ \hline \end{longtable}"," ",0,"ln(4*3^(1/2)+(16*exp(2)-8*x+16)*3^(1/4)+16*exp(2)^2+(-16*x+32)*exp(2)+4*x^2-16*x+25)","A"
7295,1,19,14,0.177000," ","int(3*ln(4/9)*exp((x*ln(4/9)+8*x+6)/(3+4*x))/(16*x^2+24*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{x \ln \left(\frac{4}{9}\right)+8 x +6}{3+4 x}}$&$19$\\ derivativedivides&$\frac{\ln \left(\frac{4}{9}\right)^{2} {\mathrm e}^{\frac{\ln \left(\frac{4}{9}\right)}{4}+2-\frac{3 \ln \left(\frac{4}{9}\right)}{4 \left(3+4 x \right)}}}{4 \ln \left(2\right)^{2}-8 \ln \left(2\right) \ln \left(3\right)+4 \ln \left(3\right)^{2}}$&$42$\\ default&$\frac{\ln \left(\frac{4}{9}\right)^{2} {\mathrm e}^{\frac{\ln \left(\frac{4}{9}\right)}{4}+2-\frac{3 \ln \left(\frac{4}{9}\right)}{4 \left(3+4 x \right)}}}{4 \ln \left(2\right)^{2}-8 \ln \left(2\right) \ln \left(3\right)+4 \ln \left(3\right)^{2}}$&$42$\\ risch&$4^{\frac{x}{3+4 x}} \left(\frac{1}{9}\right)^{\frac{x}{3+4 x}} {\mathrm e}^{2}$&$45$\\ norman&$\frac{4 x \,{\mathrm e}^{\frac{x \ln \left(\frac{4}{9}\right)+8 x +6}{3+4 x}}+3 \,{\mathrm e}^{\frac{x \ln \left(\frac{4}{9}\right)+8 x +6}{3+4 x}}}{3+4 x}$&$51$\\ \hline \end{longtable}"," ",0,"exp((x*ln(4/9)+8*x+6)/(3+4*x))","A"
7296,1,35,31,0.058000," ","int(((4*x^2+1)*exp(x^2)-11)/(8*x^2*exp(x^2)^3-264*x^2*exp(x^2)^2+(2904*x^2-x)*exp(x^2)-10648*x^2+11*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{2 x^{2}}-22 \,{\mathrm e}^{x^{2}}+\frac{968 x -1}{8 x}\right)-2 \ln \left({\mathrm e}^{x^{2}}-11\right)$&$35$\\ norman&$-\ln \left(x \right)-2 \ln \left({\mathrm e}^{x^{2}}-11\right)+\ln \left(8 x \,{\mathrm e}^{2 x^{2}}-176 \,{\mathrm e}^{x^{2}} x +968 x -1\right)$&$37$\\ \hline \end{longtable}"," ",0,"ln(exp(2*x^2)-22*exp(x^2)+1/8*(968*x-1)/x)-2*ln(exp(x^2)-11)","A"
7297,1,24,21,11.850000," ","int(((-40*x+40)*exp(2)+56*x^2-64*x+64)/(25*exp(2)^2+(-140*x+80)*exp(2)+196*x^2-224*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-4 x^{2}+\frac{20 \,{\mathrm e}^{2}}{7}+\frac{32}{7}}{5 \,{\mathrm e}^{2}-14 x +8}$&$24$\\ gosper&$\frac{-4 x^{2}+\frac{20 \,{\mathrm e}^{2}}{7}+\frac{32}{7}}{5 \,{\mathrm e}^{2}-14 x +8}$&$25$\\ risch&$\frac{2 x}{7}-\frac{5 \,{\mathrm e}^{4}}{49 \left({\mathrm e}^{2}-\frac{14 x}{5}+\frac{8}{5}\right)}+\frac{12 \,{\mathrm e}^{2}}{49 \left({\mathrm e}^{2}-\frac{14 x}{5}+\frac{8}{5}\right)}+\frac{32}{49 \left({\mathrm e}^{2}-\frac{14 x}{5}+\frac{8}{5}\right)}$&$42$\\ meijerg&$-\frac{32 x}{7 \left(-\frac{5 \,{\mathrm e}^{2}}{14}-\frac{4}{7}\right) \left(1-\frac{14 x}{5 \,{\mathrm e}^{2}+8}\right) \left(5 \,{\mathrm e}^{2}+8\right)}+\frac{\left(-40 \,{\mathrm e}^{2}-64\right) \left(\frac{14 x}{\left(1-\frac{14 x}{5 \,{\mathrm e}^{2}+8}\right) \left(5 \,{\mathrm e}^{2}+8\right)}+\ln \left(1-\frac{14 x}{5 \,{\mathrm e}^{2}+8}\right)\right)}{196}+\frac{\left(5 \,{\mathrm e}^{2}+8\right)^{2} \left(-\frac{14 x \left(-\frac{42 x}{5 \,{\mathrm e}^{2}+8}+6\right)}{3 \left(5 \,{\mathrm e}^{2}+8\right) \left(1-\frac{14 x}{5 \,{\mathrm e}^{2}+8}\right)}-2 \ln \left(1-\frac{14 x}{5 \,{\mathrm e}^{2}+8}\right)\right)}{-245 \,{\mathrm e}^{2}-392}-\frac{20 \,{\mathrm e}^{2} x}{7 \left(-\frac{5 \,{\mathrm e}^{2}}{14}-\frac{4}{7}\right) \left(1-\frac{14 x}{5 \,{\mathrm e}^{2}+8}\right) \left(5 \,{\mathrm e}^{2}+8\right)}$&$195$\\ \hline \end{longtable}"," ",0,"(-4*x^2+20/7*exp(2)+32/7)/(5*exp(2)-14*x+8)","A"
7298,1,18,21,0.261000," ","int(((2*x-3)*ln(3*exp(2))+1)/((x^2-3*x-4)*ln(3*exp(2))+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\left(x^{2}-3 x -4\right) \ln \left(3 \,{\mathrm e}^{2}\right)+x \right)$&$18$\\ risch&$\ln \left(\left(2+\ln \left(3\right)\right) x^{2}+\left(-5-3 \ln \left(3\right)\right) x -4 \ln \left(3\right)-8\right)$&$24$\\ norman&$\ln \left(x^{2} \ln \left(3\right)-3 x \ln \left(3\right)+2 x^{2}-4 \ln \left(3\right)-5 x -8\right)$&$27$\\ default&$\ln \left(\ln \left(3 \,{\mathrm e}^{2}\right) x^{2}-3 \ln \left(3 \,{\mathrm e}^{2}\right) x -4 \ln \left(3 \,{\mathrm e}^{2}\right)+x \right)$&$28$\\ \hline \end{longtable}"," ",0,"ln((x^2-3*x-4)*ln(3*exp(2))+x)","A"
7299,1,20,27,0.033000," ","int(((-x*exp(9)+2*x)*ln(x)-exp(9)-x^2+x+2)/((x*exp(9)-2*x)*ln(x)+x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -\ln \left(\ln \left(x \right) {\mathrm e}^{9}-2 \ln \left(x \right)+x -2\right)$&$20$\\ risch&$-x -\ln \left(\ln \left(x \right)+\frac{x -2}{{\mathrm e}^{9}-2}\right)$&$21$\\ \hline \end{longtable}"," ",0,"-x-ln(ln(x)*exp(9)-2*ln(x)+x-2)","A"
7300,1,112,16,0.067000," ","int((ln(x)^5+(5*x^2+10)*ln(x)^4+(10*x^4+40*x^2+40)*ln(x)^3+(10*x^6+60*x^4+120*x^2+80)*ln(x)^2+(5*x^8+40*x^6+120*x^4+160*x^2+80)*ln(x)+x^10+10*x^8+40*x^6+80*x^4+88*x^2+36)/(x*ln(x)^6+(5*x^3+7*x)*ln(x)^5+(10*x^5+25*x^3+10*x)*ln(x)^4+(10*x^7+30*x^5-40*x)*ln(x)^3+(5*x^9+10*x^7-60*x^5-200*x^3-160*x)*ln(x)^2+(x^11-5*x^9-80*x^7-280*x^5-400*x^3-209*x)*ln(x)-3*x^11-30*x^9-120*x^7-240*x^5-241*x^3-98*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 \ln \left(2+x^{2}+\ln \left(x \right)\right)+\ln \left(\ln \left(x \right)^{5}+\left(4 x^{2}+5\right) \ln \left(x \right)^{4}+\left(6 x^{4}+12 x^{2}\right) \ln \left(x \right)^{3}+\left(4 x^{6}+6 x^{4}-24 x^{2}-40\right) \ln \left(x \right)^{2}+\left(x^{8}-4 x^{6}-48 x^{4}-112 x^{2}-80\right) \ln \left(x \right)-3 x^{8}-24 x^{6}-72 x^{4}-96 x^{2}-49\right)$&$112$\\ \hline \end{longtable}"," ",0,"-4*ln(2+x^2+ln(x))+ln(ln(x)^5+(4*x^2+5)*ln(x)^4+(6*x^4+12*x^2)*ln(x)^3+(4*x^6+6*x^4-24*x^2-40)*ln(x)^2+(x^8-4*x^6-48*x^4-112*x^2-80)*ln(x)-3*x^8-24*x^6-72*x^4-96*x^2-49)","B"
7301,1,13,17,0.022000," ","int(1/20*(-3*x*ln(4*x)^2+60)/x/ln(4*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\frac{3 x}{20}-\frac{3}{\ln \left(4 x \right)}$&$13$\\ default&$-\frac{3 x}{20}-\frac{3}{\ln \left(4 x \right)}$&$13$\\ risch&$-\frac{3 x}{20}-\frac{3}{\ln \left(4 x \right)}$&$13$\\ norman&$\frac{-3-\frac{3 x \ln \left(4 x \right)}{20}}{\ln \left(4 x \right)}$&$17$\\ \hline \end{longtable}"," ",0,"-3/20*x-3/ln(4*x)","A"
7302,1,18,15,0.042000," ","int(1/16*(4*exp(4)-3*x)*exp(1/4*(8*exp(4)-3*x)/exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{4+2 \,{\mathrm e}^{-4} {\mathrm e}^{4}-\frac{3 x \,{\mathrm e}^{-4}}{4}}}{4}$&$18$\\ gosper&$\frac{{\mathrm e}^{4+\frac{\left(8 \,{\mathrm e}^{4}-3 x \right) {\mathrm e}^{-4}}{4}} x}{4}$&$21$\\ norman&$\frac{{\mathrm e}^{4} x \,{\mathrm e}^{\frac{\left(8 \,{\mathrm e}^{4}-3 x \right) {\mathrm e}^{-4}}{4}}}{4}$&$21$\\ meijerg&$\frac{{\mathrm e}^{10} \left(1-{\mathrm e}^{-\frac{3 x \,{\mathrm e}^{-4}}{4}}\right)}{3}-\frac{{\mathrm e}^{10} \left(1-\frac{\left(2+\frac{3 x \,{\mathrm e}^{-4}}{2}\right) {\mathrm e}^{-\frac{3 x \,{\mathrm e}^{-4}}{4}}}{2}\right)}{3}$&$37$\\ derivativedivides&$-\frac{{\mathrm e}^{4} \left({\mathrm e}^{4} \left({\mathrm e}^{-\frac{3 x \,{\mathrm e}^{-4}}{4}+2} \left(-\frac{3 x \,{\mathrm e}^{-4}}{4}+2\right)-{\mathrm e}^{-\frac{3 x \,{\mathrm e}^{-4}}{4}+2}\right)-{\mathrm e}^{-\frac{3 x \,{\mathrm e}^{-4}}{4}+2} {\mathrm e}^{4}\right)}{3}$&$56$\\ default&$-\frac{{\mathrm e}^{4} \left({\mathrm e}^{4} \left({\mathrm e}^{-\frac{3 x \,{\mathrm e}^{-4}}{4}+2} \left(-\frac{3 x \,{\mathrm e}^{-4}}{4}+2\right)-{\mathrm e}^{-\frac{3 x \,{\mathrm e}^{-4}}{4}+2}\right)-{\mathrm e}^{-\frac{3 x \,{\mathrm e}^{-4}}{4}+2} {\mathrm e}^{4}\right)}{3}$&$56$\\ \hline \end{longtable}"," ",0,"1/4*x*exp(4+2*exp(-4)*exp(4)-3/4*x*exp(-4))","A"
7303,1,21,22,0.061000," ","int(((16*x^6+32*x^5-80*x^4-96*x^3+144*x^2)*ln(x)^2+(-6*x^2-3*x)*ln(x)-3*x^2-3*x+9)/(20*x^5+40*x^4-100*x^3-120*x^2+180*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{2}}{5}+\frac{3}{20 \left(x^{2}+x -3\right) \ln \left(x \right)}$&$21$\\ norman&$\frac{\frac{3}{20}-\frac{18 \ln \left(x \right)}{5}+\frac{6 x \ln \left(x \right)}{5}+\frac{2 x^{3} \ln \left(x \right)}{5}+\frac{2 x^{4} \ln \left(x \right)}{5}}{\left(x^{2}+x -3\right) \ln \left(x \right)}$&$39$\\ \hline \end{longtable}"," ",0,"2/5*x^2+3/20/(x^2+x-3)/ln(x)","A"
7304,1,10,11,0.039000," ","int(1/3*((-5*ln(x)+5)*exp(5/3*ln(x)/x)+3*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +x^{\frac{5}{3 x}}$&$10$\\ default&$x +{\mathrm e}^{\frac{5 \ln \left(x \right)}{3 x}}$&$11$\\ norman&$\frac{x^{2}+x \,{\mathrm e}^{\frac{5 \ln \left(x \right)}{3 x}}}{x}$&$19$\\ \hline \end{longtable}"," ",0,"x+x^(5/3/x)","A"
7305,1,23,20,0.068000," ","int(((10*x^4-4*x^3)*exp(exp(x))-x^5*exp(21)*exp(x)+5*x^4*exp(21))/exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{5}-x^{4}+x^{5} {\mathrm e}^{21-{\mathrm e}^{x}}$&$23$\\ norman&$\left({\mathrm e}^{21} x^{5}-x^{4} {\mathrm e}^{{\mathrm e}^{x}}+2 x^{5} {\mathrm e}^{{\mathrm e}^{x}}\right) {\mathrm e}^{-{\mathrm e}^{x}}$&$30$\\ \hline \end{longtable}"," ",0,"2*x^5-x^4+x^5*exp(21-exp(x))","A"
7306,1,79,26,0.400000," ","int(((-4*x*ln(2/x)-2*x^2-4*x)*ln(x)+(-4*x^3-18*x^2-20*x)*ln(2/x)+(-x^2-4*x-4)*exp(3)-4*x^3-15*x^2-12*x+4)/(4*x^3*ln(x)^2+((4*x^3+8*x^2)*exp(3)+16*x^4+28*x^3-8*x^2)*ln(x)+(x^3+4*x^2+4*x)*exp(3)^2+(8*x^4+30*x^3+24*x^2-8*x)*exp(3)+16*x^5+56*x^4+33*x^3-28*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{x}+\frac{-4+2 x^{2} \ln \left(2\right)+x^{2} {\mathrm e}^{3}+4 x^{3}+4 x \ln \left(2\right)+4 x \,{\mathrm e}^{3}+15 x^{2}+4 \,{\mathrm e}^{3}+12 x}{2 x \left(2 x \ln \left(x \right)+x \,{\mathrm e}^{3}+4 x^{2}+2 \,{\mathrm e}^{3}+7 x -2\right)}$&$79$\\ \hline \end{longtable}"," ",0,"-1/x+1/2*(-4+2*x^2*ln(2)+x^2*exp(3)+4*x^3+4*x*ln(2)+4*x*exp(3)+15*x^2+4*exp(3)+12*x)/x/(2*x*ln(x)+x*exp(3)+4*x^2+2*exp(3)+7*x-2)","B"
7307,1,23,23,0.061000," ","int(((-5*exp(x)*x+25)*exp(x^2)^2+((-2*x^3+11*x^2+x)*exp(x)-50*x)*exp(x^2)-6*exp(x)*x^3+25*x^2)/(25*x*exp(x^2)^2-50*x^2*exp(x^2)+25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-\frac{{\mathrm e}^{x}}{5}-\frac{{\mathrm e}^{x} x}{25 \left(-{\mathrm e}^{x^{2}}+x \right)}$&$23$\\ norman&$\frac{-\frac{6 \,{\mathrm e}^{x} x}{25}+\frac{{\mathrm e}^{x} {\mathrm e}^{x^{2}}}{5}}{-{\mathrm e}^{x^{2}}+x}+\ln \left(x \right)$&$29$\\ \hline \end{longtable}"," ",0,"ln(x)-1/5*exp(x)-1/25*exp(x)*x/(-exp(x^2)+x)","A"
7308,1,40,26,0.041000," ","int(((80*x^2-30*x-130)*exp(x)*ln(x)*ln(ln(x))+((64*x^4+208*x^3+169*x^2)*exp(5)+80*x^3+50*x^2)*exp(x)*ln(x)+(80*x+130)*exp(x))/(64*x^4+208*x^3+169*x^2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10 \,{\mathrm e}^{x} \ln \left(\ln \left(x \right)\right)}{\left(8 x +13\right) x}+\frac{\left(8 x \,{\mathrm e}^{5}+13 \,{\mathrm e}^{5}+10\right) {\mathrm e}^{x}}{8 x +13}$&$40$\\ \hline \end{longtable}"," ",0,"10/(8*x+13)/x*exp(x)*ln(ln(x))+(8*x*exp(5)+13*exp(5)+10)/(8*x+13)*exp(x)","A"
7309,1,12,16,0.012000," ","int(exp(x)+40*x+81,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$20 x^{2}+81 x +{\mathrm e}^{x}$&$12$\\ norman&$20 x^{2}+81 x +{\mathrm e}^{x}$&$12$\\ risch&$20 x^{2}+81 x +{\mathrm e}^{x}$&$12$\\ \hline \end{longtable}"," ",0,"20*x^2+81*x+exp(x)","A"
7310,1,652,20,0.203000," ","int(((x^7*exp(x-1)*ln(x)+(16*x^7-24*x^4+9*x)*exp(x-1))*ln((x^6*ln(x)+16*x^6-24*x^3+9)/x^6)+(x^6+72*x^3-54)*exp(x-1)+2*x^6+144*x^3-108)/(x^7*ln(x)+16*x^7-24*x^4+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x -1}}{2}+\frac{i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3} {\mathrm e}^{x -1}}{2}+\frac{i \pi  \mathrm{csgn}\left(i x^{4}\right)^{3} {\mathrm e}^{x -1}}{2}+\frac{i \pi  \mathrm{csgn}\left(i x^{5}\right)^{3} {\mathrm e}^{x -1}}{2}+\frac{i \pi  \mathrm{csgn}\left(i x^{6}\right)^{3} {\mathrm e}^{x -1}}{2}-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(9+\left(16+\ln \left(x \right)\right) x^{6}-24 x^{3}\right)}{x^{6}}\right)^{3} {\mathrm e}^{x -1}}{2}-6 \,{\mathrm e}^{x -1} \ln \left(x \right)+{\mathrm e}^{x -1} \ln \left(9+\left(16+\ln \left(x \right)\right) x^{6}-24 x^{3}\right)+2 \ln \left(\ln \left(x \right)+\frac{16 x^{6}-24 x^{3}+9}{x^{6}}\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{6}}\right) \mathrm{csgn}\left(i \left(9+\left(16+\ln \left(x \right)\right) x^{6}-24 x^{3}\right)\right) \mathrm{csgn}\left(\frac{i \left(9+\left(16+\ln \left(x \right)\right) x^{6}-24 x^{3}\right)}{x^{6}}\right) {\mathrm e}^{x -1}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right) \mathrm{csgn}\left(i x^{5}\right) {\mathrm e}^{x -1}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right) {\mathrm e}^{x -1}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right) {\mathrm e}^{x -1}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{5}\right) \mathrm{csgn}\left(i x^{6}\right) {\mathrm e}^{x -1}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2} {\mathrm e}^{x -1}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2} {\mathrm e}^{x -1}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{5}\right) \mathrm{csgn}\left(i x^{6}\right)^{2} {\mathrm e}^{x -1}}{2}+\frac{i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x -1}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2} {\mathrm e}^{x -1}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{5}\right)^{2} {\mathrm e}^{x -1}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{6}\right)^{2} {\mathrm e}^{x -1}}{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x -1}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{6}}\right) \mathrm{csgn}\left(\frac{i \left(9+\left(16+\ln \left(x \right)\right) x^{6}-24 x^{3}\right)}{x^{6}}\right)^{2} {\mathrm e}^{x -1}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(9+\left(16+\ln \left(x \right)\right) x^{6}-24 x^{3}\right)\right) \mathrm{csgn}\left(\frac{i \left(9+\left(16+\ln \left(x \right)\right) x^{6}-24 x^{3}\right)}{x^{6}}\right)^{2} {\mathrm e}^{x -1}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2} {\mathrm e}^{x -1}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \mathrm{csgn}\left(i x^{5}\right)^{2} {\mathrm e}^{x -1}}{2}$&$652$\\ \hline \end{longtable}"," ",0,"1/2*I*Pi*csgn(I*x^2)^3*exp(x-1)+1/2*I*Pi*csgn(I*x^3)^3*exp(x-1)+1/2*I*Pi*csgn(I*x^4)^3*exp(x-1)+1/2*I*Pi*csgn(I*x^5)^3*exp(x-1)+1/2*I*Pi*csgn(I*x^6)^3*exp(x-1)-1/2*I*Pi*csgn(I/x^6*(9+(16+ln(x))*x^6-24*x^3))^3*exp(x-1)-6*exp(x-1)*ln(x)+exp(x-1)*ln(9+(16+ln(x))*x^6-24*x^3)-1/2*I*Pi*csgn(I/x^6)*csgn(I*(9+(16+ln(x))*x^6-24*x^3))*csgn(I/x^6*(9+(16+ln(x))*x^6-24*x^3))*exp(x-1)+1/2*I*Pi*csgn(I*x)*csgn(I*x^4)*csgn(I*x^5)*exp(x-1)+1/2*I*Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)*exp(x-1)+1/2*I*Pi*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)*exp(x-1)+1/2*I*Pi*csgn(I*x)*csgn(I*x^5)*csgn(I*x^6)*exp(x-1)-1/2*I*Pi*csgn(I*x)*csgn(I*x^3)^2*exp(x-1)-1/2*I*Pi*csgn(I*x^2)*csgn(I*x^3)^2*exp(x-1)-1/2*I*Pi*csgn(I*x^5)*csgn(I*x^6)^2*exp(x-1)+1/2*I*Pi*csgn(I*x)^2*csgn(I*x^2)*exp(x-1)-1/2*I*Pi*csgn(I*x^3)*csgn(I*x^4)^2*exp(x-1)-1/2*I*Pi*csgn(I*x)*csgn(I*x^5)^2*exp(x-1)-1/2*I*Pi*csgn(I*x)*csgn(I*x^6)^2*exp(x-1)-I*Pi*csgn(I*x)*csgn(I*x^2)^2*exp(x-1)+1/2*I*Pi*csgn(I/x^6)*csgn(I/x^6*(9+(16+ln(x))*x^6-24*x^3))^2*exp(x-1)+1/2*I*Pi*csgn(I*(9+(16+ln(x))*x^6-24*x^3))*csgn(I/x^6*(9+(16+ln(x))*x^6-24*x^3))^2*exp(x-1)+2*ln(ln(x)+(16*x^6-24*x^3+9)/x^6)-1/2*I*Pi*csgn(I*x)*csgn(I*x^4)^2*exp(x-1)-1/2*I*Pi*csgn(I*x^4)*csgn(I*x^5)^2*exp(x-1)","C"
7311,1,21,25,0.024000," ","int(((-4*x^3*exp(4)+5*x^4-4)*exp(x)+1)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x -{\mathrm e}^{-x}+x^{5}-x^{4} {\mathrm e}^{4}$&$21$\\ risch&$-4 x -{\mathrm e}^{-x}+x^{5}-x^{4} {\mathrm e}^{4}$&$21$\\ norman&$\left(-1+x^{5} {\mathrm e}^{x}-4 \,{\mathrm e}^{x} x -x^{4} {\mathrm e}^{4} {\mathrm e}^{x}\right) {\mathrm e}^{-x}$&$28$\\ \hline \end{longtable}"," ",0,"-4*x-1/exp(x)+x^5-x^4*exp(4)","A"
7312,1,38,28,0.226000," ","int((4*(-5*x+20)*ln(2)*ln(2*x^3)+4*(2*x^3-8*x^2)*ln(2)*exp(1/5*x)^2*ln(-x+4)+20*x^2*ln(2)*exp(1/5*x)^2+4*(15*x-60)*ln(2))/(5*x^3-20*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(2\right) {\mathrm e}^{\frac{2 x}{5}} \ln \left(-x +4\right)+\frac{4 \ln \left(2\right) \ln \left(x^{3}\right)}{x}+\frac{4 \ln \left(2\right)^{2}}{x}$&$38$\\ risch&$4 \ln \left(2\right) {\mathrm e}^{\frac{2 x}{5}} \ln \left(-x +4\right)+\frac{2 \ln \left(2\right) \left(-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+2 \ln \left(2\right)+6 \ln \left(x \right)\right)}{x}$&$155$\\ \hline \end{longtable}"," ",0,"4*ln(2)*exp(1/5*x)^2*ln(-x+4)+4*ln(2)/x*ln(x^3)+4*ln(2)^2/x","A"
7313,1,21,23,0.034000," ","int((-8*ln(x)^4+2*x*ln(x)^3+(-18*x-64)*ln(x)^2+8*x*ln(x)-6*x^2-56*x-128)*exp((5*ln(x)^2+x*ln(x)+20+5*x)/(ln(x)^2+4+x))/(x^5*ln(x)^4+(2*x^6+8*x^5)*ln(x)^2+x^7+8*x^6+16*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{\frac{x}{\ln \left(x \right)^{2}+4+x}} {\mathrm e}^{5}}{x^{4}}$&$21$\\ \hline \end{longtable}"," ",0,"2/x^4*x^(1/(ln(x)^2+4+x)*x)*exp(5)","A"
7314,1,17,17,0.038000," ","int(1/4*(-300*x^2-600*x-3)*exp(-25*x^3-75*x^2-3/4*x-11/12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-25 x^{3}-75 x^{2}-\frac{3}{4} x -\frac{11}{12}}$&$17$\\ norman&${\mathrm e}^{-25 x^{3}-75 x^{2}-\frac{3}{4} x -\frac{11}{12}}$&$17$\\ risch&${\mathrm e}^{-25 x^{3}-75 x^{2}-\frac{3}{4} x -\frac{11}{12}}$&$17$\\ \hline \end{longtable}"," ",0,"exp(-25*x^3-75*x^2-3/4*x-11/12)","A"
7315,1,30,29,0.056000," ","int((((-2*x^5-x^4)*exp(x^2+x)*ln(x)+((-2*x^5-x^4)*exp(4)+2*x^5+x^4)*exp(x^2+x))*ln(ln(x)+exp(4)-1)+(2*x^6+x^5-x^4-6*x^3-3*x^2-6*x)*exp(x^2+x)*ln(x)+((2*x^6+x^5-x^4-6*x^3-3*x^2-6*x)*exp(4)-2*x^6-x^5+x^4+7*x^3+3*x^2+6*x)*exp(x^2+x))/((x^4*ln(x)+x^4*exp(4)-x^4)*ln(ln(x)+exp(4)-1)^2+((-2*x^5+6*x^2)*ln(x)+(-2*x^5+6*x^2)*exp(4)+2*x^5-6*x^2)*ln(ln(x)+exp(4)-1)+(x^6-6*x^3+9)*ln(x)+(x^6-6*x^3+9)*exp(4)-x^6+6*x^3-9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{\left(x +1\right) x}}{x^{3}-x^{2} \ln \left(\ln \left(x \right)+{\mathrm e}^{4}-1\right)-3}$&$30$\\ \hline \end{longtable}"," ",0,"x^2*exp((x+1)*x)/(x^3-x^2*ln(ln(x)+exp(4)-1)-3)","A"
7316,1,18,21,0.035000," ","int((84*ln(x)^2-8*x*ln(x)+4*x)/((2205*x^2-210*x+5)*ln(x)^2+(-210*x^3+10*x^2)*ln(x)+5*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 \ln \left(x \right)}{5 \left(x^{2}-21 x \ln \left(x \right)+\ln \left(x \right)\right)}$&$18$\\ risch&$-\frac{4}{5 \left(21 x -1\right)}+\frac{4 x^{2}}{5 \left(21 x -1\right) \left(x^{2}-21 x \ln \left(x \right)+\ln \left(x \right)\right)}$&$36$\\ \hline \end{longtable}"," ",0,"4/5*ln(x)/(x^2-21*x*ln(x)+ln(x))","A"
7317,1,20,16,0.235000," ","int(((-10*ln(x)-2*exp(3)-5)*ln(ln(x)+1/5*exp(3)+1/2)+(20*x-40)*ln(x)+(4*x-8)*exp(3)+10*x-30)/(10*ln(x)+2*exp(3)+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}-4 x -x \ln \left(\ln \left(x \right)+\frac{{\mathrm e}^{3}}{5}+\frac{1}{2}\right)$&$20$\\ risch&$x^{2}-4 x -x \ln \left(\ln \left(x \right)+\frac{{\mathrm e}^{3}}{5}+\frac{1}{2}\right)$&$20$\\ \hline \end{longtable}"," ",0,"x^2-4*x-x*ln(ln(x)+1/5*exp(3)+1/2)","A"
7318,1,12,13,0.171000," ","int((-4*x-14)/(x^2+7*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(x^{2}+7 x +4\right)$&$12$\\ norman&$-2 \ln \left(x^{2}+7 x +4\right)$&$12$\\ risch&$-2 \ln \left(x^{2}+7 x +4\right)$&$12$\\ \hline \end{longtable}"," ",0,"-2*ln(x^2+7*x+4)","A"
7319,1,156,32,0.363000," ","int((((2*x^5-150*x^4+3700*x^3-30000*x^2)*exp(2)+(-2*x^4+152*x^3-3850*x^2+33750*x-31250)*exp(1)+4*x^6-296*x^5+7100*x^4-52500*x^3-62500*x^2)*ln((-exp(2)*x+exp(1)-2*x^2)/x)+(2*x^6-148*x^5+3600*x^4-28800*x^3)*exp(2)+(-2*x^5+150*x^4-3748*x^3+32450*x^2-30000*x)*exp(1)+4*x^7-292*x^6+6904*x^5-50300*x^4-60000*x^3)/((x^5-75*x^4+1875*x^3-15625*x^2)*exp(2)+(-x^4+75*x^3-1875*x^2+15625*x)*exp(1)+2*x^6-150*x^5+3750*x^4-31250*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{4}+x^{2} \ln \left(\frac{-{\mathrm e}^{2} x +{\mathrm e}-2 x^{2}}{x}\right)^{2}+28800 x -98 \ln \left(\frac{-{\mathrm e}^{2} x +{\mathrm e}-2 x^{2}}{x}\right) x^{2}+1200 x \ln \left(\frac{-{\mathrm e}^{2} x +{\mathrm e}-2 x^{2}}{x}\right)-48 x^{3}+625 \ln \left(\frac{-{\mathrm e}^{2} x +{\mathrm e}-2 x^{2}}{x}\right)^{2}-50 x \ln \left(\frac{-{\mathrm e}^{2} x +{\mathrm e}-2 x^{2}}{x}\right)^{2}-360000+2 \ln \left(\frac{-{\mathrm e}^{2} x +{\mathrm e}-2 x^{2}}{x}\right) x^{3}}{\left(x -25\right)^{2}}$&$156$\\ default&\verb|error in gcdex: invalid arguments\|& N/A\\ \hline \end{longtable}"," ",0,"(x^4+x^2*ln((-exp(2)*x+exp(1)-2*x^2)/x)^2+28800*x-98*ln((-exp(2)*x+exp(1)-2*x^2)/x)*x^2+1200*x*ln((-exp(2)*x+exp(1)-2*x^2)/x)-48*x^3+625*ln((-exp(2)*x+exp(1)-2*x^2)/x)^2-50*x*ln((-exp(2)*x+exp(1)-2*x^2)/x)^2-360000+2*ln((-exp(2)*x+exp(1)-2*x^2)/x)*x^3)/(x-25)^2","B"
7320,1,25,20,0.112000," ","int(((2*exp(5)*ln(x)*exp(ln(x)^2)+x*ln(5))*exp((exp(5)*exp(ln(x)^2)+x*ln(5)+17*exp(5))/exp(5))-x*exp(5))/x/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{\left({\mathrm e}^{5+\ln \left(x \right)^{2}}+x \ln \left(5\right)+17 \,{\mathrm e}^{5}\right) {\mathrm e}^{-5}}$&$25$\\ norman&$-x +{\mathrm e}^{\left({\mathrm e}^{5} {\mathrm e}^{\ln \left(x \right)^{2}}+x \ln \left(5\right)+17 \,{\mathrm e}^{5}\right) {\mathrm e}^{-5}}$&$28$\\ default&${\mathrm e}^{-5} \left({\mathrm e}^{\left({\mathrm e}^{5+\ln \left(x \right)^{2}}+x \ln \left(5\right)+17 \,{\mathrm e}^{5}\right) {\mathrm e}^{-5}} {\mathrm e}^{5}-x \,{\mathrm e}^{5}\right)$&$37$\\ \hline \end{longtable}"," ",0,"-x+exp((exp(5+ln(x)^2)+x*ln(5)+17*exp(5))*exp(-5))","A"
7321,1,36,27,0.074000," ","int((-4*exp(2)*ln(3/x)+(10*x^4-400*x^3+3750*x^2-8*x+8)*exp(2))/(4*x^2*ln(3/x)^2+(-4*x^6+200*x^5-2500*x^4+8*x^3-8*x^2)*ln(3/x)+x^10-100*x^9+3750*x^8-62504*x^7+390829*x^6-2700*x^5+2504*x^4-8*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \,{\mathrm e}^{2}}{x \left(x^{4}-50 x^{3}+625 x^{2}-2 x -2 \ln \left(\frac{3}{x}\right)+2\right)}$&$36$\\ \hline \end{longtable}"," ",0,"-2*exp(2)/x/(x^4-50*x^3+625*x^2-2*x-2*ln(3/x)+2)","A"
7322,1,21,19,0.017000," ","int((2*x+1)*exp(x)^2+15*x^2-2*x+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x +x \,{\mathrm e}^{2 x}-x^{2}+5 x^{3}$&$21$\\ norman&$3 x +x \,{\mathrm e}^{2 x}-x^{2}+5 x^{3}$&$21$\\ risch&$3 x +x \,{\mathrm e}^{2 x}-x^{2}+5 x^{3}$&$21$\\ \hline \end{longtable}"," ",0,"3*x+x*exp(x)^2-x^2+5*x^3","A"
7323,1,20,17,0.056000," ","int(((exp(x)*x-x*exp(1))*ln(x)+2*exp(x)*x^2+(-2*x^2-2*x-1)*exp(1))/(x*ln(x)+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x \,{\mathrm e}-{\mathrm e} \ln \left(2 x +\ln \left(x \right)\right)+{\mathrm e}^{x}$&$20$\\ norman&$-x \,{\mathrm e}-{\mathrm e} \ln \left(2 x +\ln \left(x \right)\right)+{\mathrm e}^{x}$&$20$\\ risch&$-x \,{\mathrm e}-{\mathrm e} \ln \left(2 x +\ln \left(x \right)\right)+{\mathrm e}^{x}$&$20$\\ \hline \end{longtable}"," ",0,"-x*exp(1)-exp(1)*ln(2*x+ln(x))+exp(x)","A"
7324,1,262,28,0.804000," ","int((((-4*x^6+48*x^5-92*x^4-944*x^3+4800*x^2-6400*x)*exp(x)-4*x^7+60*x^6-240*x^5-640*x^4+7680*x^3-21504*x^2+20480*x)*ln(x/(5+x))^2+((10*x^4-160*x^3+960*x^2-2560*x+2560)*exp(x)+10*x^6-190*x^5+1400*x^4-4800*x^3+6400*x^2+2560*x-10240)*ln(x/(5+x)))*exp((x^4-16*x^3+96*x^2-256*x+256)*ln(x/(5+x))^2/(exp(x)^4+(4*x^2-12*x-16)*exp(x)^3+(6*x^4-36*x^3+6*x^2+144*x+96)*exp(x)^2+(4*x^6-36*x^5+60*x^4+180*x^3-240*x^2-576*x-256)*exp(x)+x^8-12*x^7+38*x^6+36*x^5-255*x^4-144*x^3+608*x^2+768*x+256))/((x^2+5*x)*exp(x)^5+(5*x^4+10*x^3-95*x^2-100*x)*exp(x)^4+(10*x^6-10*x^5-290*x^4+290*x^3+1360*x^2+800*x)*exp(x)^3+(10*x^8-40*x^7-300*x^6+1200*x^5+1650*x^4-4440*x^3-7840*x^2-3200*x)*exp(x)^2+(5*x^10-35*x^9-110*x^8+1130*x^7-375*x^6-7095*x^5-560*x^4+19040*x^3+20480*x^2+6400*x)*exp(x)+x^12-10*x^11-5*x^10+320*x^9-665*x^8-2098*x^7+4445*x^6+9820*x^5-6880*x^4-26240*x^3-20224*x^2-5120*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(x -4\right)^{4} \left(i \pi  \mathrm{csgn}\left(\frac{i x}{5+x}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i x}{5+x}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \mathrm{csgn}\left(\frac{i x}{5+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{5+x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i x}{5+x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{5+x}\right)-2 \ln \left(x \right)+2 \ln \left(5+x \right)\right)^{2}}{1024+3072 x +4 \,{\mathrm e}^{4 x}-144 x^{5} {\mathrm e}^{x}-64 \,{\mathrm e}^{3 x}+384 \,{\mathrm e}^{2 x}-48 x^{7}+4 x^{8}+152 x^{6}+144 x^{5}-1020 x^{4}-576 x^{3}+2432 x^{2}-1024 \,{\mathrm e}^{x}+16 x^{2} {\mathrm e}^{3 x}-144 \,{\mathrm e}^{2 x} x^{3}-48 x \,{\mathrm e}^{3 x}+24 \,{\mathrm e}^{2 x} x^{2}+576 x \,{\mathrm e}^{2 x}+16 x^{6} {\mathrm e}^{x}+240 \,{\mathrm e}^{x} x^{4}-960 \,{\mathrm e}^{x} x^{2}+720 \,{\mathrm e}^{x} x^{3}-2304 \,{\mathrm e}^{x} x +24 \,{\mathrm e}^{2 x} x^{4}}}$&$262$\\ \hline \end{longtable}"," ",0,"exp(1/4*(x-4)^4*(I*Pi*csgn(I*x/(5+x))^3-I*Pi*csgn(I*x/(5+x))^2*csgn(I*x)-I*Pi*csgn(I*x/(5+x))^2*csgn(I/(5+x))+I*Pi*csgn(I*x/(5+x))*csgn(I*x)*csgn(I/(5+x))-2*ln(x)+2*ln(5+x))^2/(256+768*x+exp(4*x)-36*x^5*exp(x)-16*exp(3*x)+96*exp(2*x)-12*x^7+x^8+38*x^6+36*x^5-255*x^4-144*x^3+608*x^2-256*exp(x)+4*x^2*exp(3*x)-36*exp(2*x)*x^3-12*x*exp(3*x)+6*exp(2*x)*x^2+144*x*exp(2*x)+4*x^6*exp(x)+60*exp(x)*x^4-240*exp(x)*x^2+180*exp(x)*x^3-576*exp(x)*x+6*exp(2*x)*x^4))","C"
7325,1,19,21,0.122000," ","int(((x^2*exp(exp(2))-x)*ln(-x^2*exp(exp(2))+x)+(2*x*exp(5)+2*x^2)*exp(exp(2))-exp(5)-x)/((x^2*exp(5)+x^3)*exp(exp(2))-x*exp(5)-x^2)/ln(-x^2*exp(exp(2))+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left({\mathrm e}^{5}+x \right)+\ln \left(\ln \left(-x^{2} {\mathrm e}^{{\mathrm e}^{2}}+x \right)\right)$&$19$\\ norman&$\ln \left({\mathrm e}^{5}+x \right)+\ln \left(\ln \left(-x^{2} {\mathrm e}^{{\mathrm e}^{2}}+x \right)\right)$&$19$\\ risch&$\ln \left({\mathrm e}^{5}+x \right)+\ln \left(\ln \left(-x^{2} {\mathrm e}^{{\mathrm e}^{2}}+x \right)\right)$&$19$\\ \hline \end{longtable}"," ",0,"ln(exp(5)+x)+ln(ln(-x^2*exp(exp(2))+x))","A"
7326,1,13,17,0.030000," ","int(1/4*(9*x-18)*exp(1/2*x)*exp(9*exp(1/2*x)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{\frac{9 \,{\mathrm e}^{\frac{x}{2}}}{x}}}{2}$&$13$\\ risch&$\frac{{\mathrm e}^{\frac{9 \,{\mathrm e}^{\frac{x}{2}}}{x}}}{2}$&$13$\\ \hline \end{longtable}"," ",0,"1/2*exp(9*exp(1/2*x)/x)","A"
7327,1,71,23,0.267000," ","int(((exp(2)^2-2*exp(2)*x+x^2-5)*ln(1/16*x^2*exp(2)^4-1/4*x^3*exp(2)^3+1/16*(6*x^4-10*x^2)*exp(2)^2+1/16*(-4*x^5+20*x^3)*exp(2)+1/16*x^6-5/8*x^4+25/16*x^2)+(2*x+2)*exp(2)^2+(-4*x^2-8*x)*exp(2)+2*x^3+6*x^2-10*x-10)/(2*exp(2)^2-4*exp(2)*x+2*x^2-10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{2}+\frac{x \ln \left(\frac{x^{2} {\mathrm e}^{8}}{16}-\frac{x^{3} {\mathrm e}^{6}}{4}+\frac{\left(6 x^{4}-10 x^{2}\right) {\mathrm e}^{4}}{16}+\frac{\left(-4 x^{5}+20 x^{3}\right) {\mathrm e}^{2}}{16}+\frac{x^{6}}{16}-\frac{5 x^{4}}{8}+\frac{25 x^{2}}{16}\right)}{2}$&$71$\\ norman&$\frac{x^{2}}{2}+\frac{x \ln \left(\frac{x^{2} {\mathrm e}^{8}}{16}-\frac{x^{3} {\mathrm e}^{6}}{4}+\frac{\left(6 x^{4}-10 x^{2}\right) {\mathrm e}^{4}}{16}+\frac{\left(-4 x^{5}+20 x^{3}\right) {\mathrm e}^{2}}{16}+\frac{x^{6}}{16}-\frac{5 x^{4}}{8}+\frac{25 x^{2}}{16}\right)}{2}$&$77$\\ default&$\frac{x^{2}}{2}-2 x \ln \left(2\right)+\frac{x \ln \left(x^{2} {\mathrm e}^{8}-4 x^{3} {\mathrm e}^{6}+6 x^{4} {\mathrm e}^{4}-10 x^{2} {\mathrm e}^{4}-4 \,{\mathrm e}^{2} x^{5}+20 x^{3} {\mathrm e}^{2}+x^{6}-10 x^{4}+25 x^{2}\right)}{2}$&$79$\\ \hline \end{longtable}"," ",0,"1/2*x^2+1/2*x*ln(1/16*x^2*exp(8)-1/4*x^3*exp(6)+1/16*(6*x^4-10*x^2)*exp(4)+1/16*(-4*x^5+20*x^3)*exp(2)+1/16*x^6-5/8*x^4+25/16*x^2)","B"
7328,1,25,19,0.055000," ","int(((-x^2*exp(x-exp(1)-4)-2*x)*ln(x)-x)*exp(exp(x-exp(1)-4))+4*x*ln(x)+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right) x^{2} {\mathrm e}^{{\mathrm e}^{x -{\mathrm e}-4}}+2 x^{2} \ln \left(x \right)$&$25$\\ \hline \end{longtable}"," ",0,"-ln(x)*x^2*exp(exp(x-exp(1)-4))+2*x^2*ln(x)","A"
7329,1,23,23,0.100000," ","int(((20*x+12)*exp(x-exp(1))*exp(x)-16*x^2+96*x)/(x*exp(x-exp(1))*exp(x)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-4 x +12 \ln \left(x \right)+12 \ln \left({\mathrm e}^{2 x}+4 x \,{\mathrm e}^{{\mathrm e}}\right)$&$23$\\ risch&$-4 x +12 \ln \left(x \right)+12 \ln \left({\mathrm e}^{2 x}+4 x \,{\mathrm e}^{{\mathrm e}}\right)$&$23$\\ \hline \end{longtable}"," ",0,"-4*x+12*ln(x)+12*ln(exp(x)^2+4*x*exp(exp(1)))","A"
7330,1,14,19,0.017000," ","int((3*x*exp(3*x)*ln(2*x)+(3*x^2-x-1)*exp(3*x))/(x*ln(2*x)^2+2*x^2*ln(2*x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{3 x}}{\ln \left(2 x \right)+x}$&$14$\\ \hline \end{longtable}"," ",0,"exp(3*x)/(ln(2*x)+x)","A"
7331,1,164,29,0.752000," ","int(((x^2*ln(4/x)^2+(2*x^2*exp(3)^2-6*x^2)*ln(4/x)+x^2*exp(3)^4-6*x^2*exp(3)^2+8*x^2)*ln(ln(2))+(-2*x*ln(4/x)-2*x*exp(3)^2+4*x)*ln(x)+x*ln(4/x)^2+(2*x*exp(3)^2-4*x)*ln(4/x)+x*exp(3)^4-4*x*exp(3)^2+4*x+2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{3}+\left(x \ln \left(\ln \left(2\right)\right)+4-2 \,{\mathrm e}^{6}-4 \ln \left(2\right)\right) \ln \left(x \right)^{2}-\left(2 \ln \left(\ln \left(2\right)\right) {\mathrm e}^{6}+4 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)-4 \ln \left(\ln \left(2\right)\right)\right) x \ln \left(x \right)+\frac{-8-32 x \ln \left(2\right) \ln \left(x \right)+16 x^{2} \ln \left(\ln \left(2\right)\right)+16 x \ln \left(x \right)+16 \,{\mathrm e}^{6} \ln \left(\ln \left(2\right)\right) x^{2} \ln \left(2\right)+4 \ln \left(x \right) {\mathrm e}^{12} x +16 \ln \left(x \right) \ln \left(2\right)^{2} x +4 \,{\mathrm e}^{12} \ln \left(\ln \left(2\right)\right) x^{2}-16 \,{\mathrm e}^{6} \ln \left(\ln \left(2\right)\right) x^{2}-16 x \,{\mathrm e}^{6} \ln \left(x \right)+16 x^{2} \ln \left(\ln \left(2\right)\right) \ln \left(2\right)^{2}-32 x^{2} \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+16 \ln \left(x \right) {\mathrm e}^{6} \ln \left(2\right) x}{4 x}$&$164$\\ \hline \end{longtable}"," ",0,"ln(x)^3+(x*ln(ln(2))+4-2*exp(6)-4*ln(2))*ln(x)^2-(2*ln(ln(2))*exp(6)+4*ln(ln(2))*ln(2)-4*ln(ln(2)))*x*ln(x)+1/4*(-8-32*x*ln(2)*ln(x)+16*x^2*ln(ln(2))+16*x*ln(x)+16*exp(6)*ln(ln(2))*x^2*ln(2)+4*ln(x)*exp(12)*x+16*ln(x)*ln(2)^2*x+4*exp(12)*ln(ln(2))*x^2-16*exp(6)*ln(ln(2))*x^2-16*x*exp(6)*ln(x)+16*x^2*ln(ln(2))*ln(2)^2-32*x^2*ln(ln(2))*ln(2)+16*ln(x)*exp(6)*ln(2)*x)/x","B"
7332,1,13,14,0.041000," ","int((432*exp(2*x)+exp(2)^2)/(144*exp(2*x)+exp(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(\frac{{\mathrm e}^{4}}{144}+{\mathrm e}^{2 x}\right)$&$13$\\ norman&$x +\ln \left(144 \,{\mathrm e}^{2 x}+{\mathrm e}^{4}\right)$&$15$\\ derivativedivides&$\ln \left(144 \,{\mathrm e}^{2 x}+{\mathrm e}^{4}\right)+\frac{\ln \left({\mathrm e}^{2 x}\right)}{2}$&$19$\\ default&$\ln \left(144 \,{\mathrm e}^{2 x}+{\mathrm e}^{4}\right)+\frac{\ln \left({\mathrm e}^{2 x}\right)}{2}$&$19$\\ \hline \end{longtable}"," ",0,"x+ln(1/144*exp(4)+exp(2*x))","A"
7333,1,22,21,0.152000," ","int((-27*ln(5)^2-135)/(12*x^2*ln(5)^2+52*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\frac{27 \ln \left(5\right)^{2}}{4}+\frac{135}{4}}{x \left(3 \ln \left(5\right)^{2}+13\right)}$&$22$\\ norman&$\frac{\frac{27 \ln \left(5\right)^{2}}{4}+\frac{135}{4}}{x \left(3 \ln \left(5\right)^{2}+13\right)}$&$22$\\ default&$-\frac{-\frac{27 \ln \left(5\right)^{2}}{4}-\frac{135}{4}}{\left(3 \ln \left(5\right)^{2}+13\right) x}$&$24$\\ risch&$\frac{27 \ln \left(5\right)^{2}}{4 x \left(3 \ln \left(5\right)^{2}+13\right)}+\frac{135}{4 \left(3 \ln \left(5\right)^{2}+13\right) x}$&$36$\\ \hline \end{longtable}"," ",0,"27/4/x*(ln(5)^2+5)/(3*ln(5)^2+13)","A"
7334,1,26,23,0.051000," ","int((4*x*exp(2*x^2)-1)*exp(exp(2*x^2)-x+1)/(exp(exp(2*x^2)-x+1)-exp(ln(5)^2+6*ln(5)+9)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(-{\mathrm e}^{{\mathrm e}^{2 x^{2}}-x +1}+15625 \,{\mathrm e}^{\ln \left(5\right)^{2}+9}\right)$&$26$\\ risch&$-1+\ln \left({\mathrm e}^{{\mathrm e}^{2 x^{2}}-x +1}-15625 \,{\mathrm e}^{\ln \left(5\right)^{2}+9}\right)$&$26$\\ derivativedivides&$\ln \left({\mathrm e}^{{\mathrm e}^{2 x^{2}}-x +1}-{\mathrm e}^{\ln \left(5\right)^{2}+6 \ln \left(5\right)+9}\right)$&$28$\\ default&$\ln \left({\mathrm e}^{{\mathrm e}^{2 x^{2}}-x +1}-{\mathrm e}^{\ln \left(5\right)^{2}+6 \ln \left(5\right)+9}\right)$&$28$\\ \hline \end{longtable}"," ",0,"ln(-exp(exp(2*x^2)-x+1)+15625*exp(ln(5)^2+9))","A"
7335,1,18,17,0.021000," ","int((exp(x)+2*x-1)*exp(exp(x)+48*ln(2)^4+x^2-x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{{\mathrm e}^{x}+48 \ln \left(2\right)^{4}+x^{2}-x +3}$&$18$\\ default&${\mathrm e}^{{\mathrm e}^{x}+48 \ln \left(2\right)^{4}+x^{2}-x +3}$&$18$\\ norman&${\mathrm e}^{{\mathrm e}^{x}+48 \ln \left(2\right)^{4}+x^{2}-x +3}$&$18$\\ risch&${\mathrm e}^{{\mathrm e}^{x}+48 \ln \left(2\right)^{4}+x^{2}-x +3}$&$18$\\ \hline \end{longtable}"," ",0,"exp(exp(x)+48*ln(2)^4+x^2-x+3)","A"
7336,1,24,27,0.089000," ","int(((x^3-4*x^2+4*x)*exp(2)^2*ln(x)^3+(3*x^4-12*x^3+12*x^2)*exp(2)^2*ln(x)^2+((128*x^3-512*x^2)*exp(x^2/(x-2)/exp(2)^2)^2+(3*x^5-12*x^4+12*x^3)*exp(2)^2)*ln(x)+((-128*x^3+384*x^2-512)*exp(2)^2+128*x^4-512*x^3)*exp(x^2/(x-2)/exp(2)^2)^2+(x^6-4*x^5+4*x^4)*exp(2)^2)/((x^3-4*x^2+4*x)*exp(2)^2*ln(x)^3+(3*x^4-12*x^3+12*x^2)*exp(2)^2*ln(x)^2+(3*x^5-12*x^4+12*x^3)*exp(2)^2*ln(x)+(x^6-4*x^5+4*x^4)*exp(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{64 \,{\mathrm e}^{\frac{2 x^{2} {\mathrm e}^{-4}}{x -2}}}{\left(x +\ln \left(x \right)\right)^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"x+64*exp(2*x^2/(x-2)*exp(-4))/(x+ln(x))^2","A"
7337,1,11,14,0.059000," ","int(1/2*(-x*exp(x)*ln(x)+2)*exp(ln(x)/exp(1/2*exp(x)-1))*exp(exp(ln(x)/exp(1/2*exp(x)-1)))/x/exp(1/2*exp(x)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{{\mathrm e}^{1-\frac{{\mathrm e}^{x}}{2}}}}$&$11$\\ \hline \end{longtable}"," ",0,"exp(x^exp(1-1/2*exp(x)))","A"
7338,1,289,33,0.227000," ","int(((((exp(x)-x^2-4*x)*ln(x)^2-8*ln(x))*ln(((-exp(x)+x^2+4*x)*ln(x)+8)/x/ln(x))+(-exp(x)*x^2+x^4+4*x^3)*ln(x)^2+8*x^2*ln(x))*ln(-ln(((-exp(x)+x^2+4*x)*ln(x)+8)/x/ln(x))+x^2)+((2*x^2-x+1)*exp(x)-2*x^4-8*x^3+x^2)*ln(x)^2+(-16*x^2-8)*ln(x)-8)/(((exp(x)-x^2-4*x)*ln(x)^2-8*ln(x))*ln(((-exp(x)+x^2+4*x)*ln(x)+8)/x/ln(x))+(-exp(x)*x^2+x^4+4*x^3)*ln(x)^2+8*x^2*ln(x))/ln(-ln(((-exp(x)+x^2+4*x)*ln(x)+8)/x/ln(x))+x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{\ln \left(\ln \left(x \right)+\ln \left(\ln \left(x \right)\right)-\ln \left(x^{2} \ln \left(x \right)-{\mathrm e}^{x} \ln \left(x \right)+4 x \ln \left(x \right)+8\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(-x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)-4 x \ln \left(x \right)-8\right)}{\ln \left(x \right)}\right) \left(\mathrm{csgn}\left(\frac{i \left(-x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)-4 x \ln \left(x \right)-8\right)}{\ln \left(x \right)}\right)+\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)\right) \left(\mathrm{csgn}\left(\frac{i \left(-x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)-4 x \ln \left(x \right)-8\right)}{\ln \left(x \right)}\right)-\mathrm{csgn}\left(i \left(-x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)-4 x \ln \left(x \right)-8\right)\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(-x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)-4 x \ln \left(x \right)-8\right)}{\ln \left(x \right) x}\right) \left(\mathrm{csgn}\left(\frac{i \left(-x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)-4 x \ln \left(x \right)-8\right)}{\ln \left(x \right) x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(\mathrm{csgn}\left(\frac{i \left(-x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)-4 x \ln \left(x \right)-8\right)}{\ln \left(x \right) x}\right)-\mathrm{csgn}\left(\frac{i \left(-x^{2} \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)-4 x \ln \left(x \right)-8\right)}{\ln \left(x \right)}\right)\right)}{2}+x^{2}\right)}$&$289$\\ \hline \end{longtable}"," ",0,"x/ln(ln(x)+ln(ln(x))-ln(x^2*ln(x)-exp(x)*ln(x)+4*x*ln(x)+8)-1/2*I*Pi*csgn(I*(-x^2*ln(x)+exp(x)*ln(x)-4*x*ln(x)-8)/ln(x))*(csgn(I*(-x^2*ln(x)+exp(x)*ln(x)-4*x*ln(x)-8)/ln(x))+csgn(I/ln(x)))*(csgn(I*(-x^2*ln(x)+exp(x)*ln(x)-4*x*ln(x)-8)/ln(x))-csgn(I*(-x^2*ln(x)+exp(x)*ln(x)-4*x*ln(x)-8)))-1/2*I*Pi*csgn(I*(-x^2*ln(x)+exp(x)*ln(x)-4*x*ln(x)-8)/ln(x)/x)*(csgn(I*(-x^2*ln(x)+exp(x)*ln(x)-4*x*ln(x)-8)/ln(x)/x)+csgn(I/x))*(csgn(I*(-x^2*ln(x)+exp(x)*ln(x)-4*x*ln(x)-8)/ln(x)/x)-csgn(I*(-x^2*ln(x)+exp(x)*ln(x)-4*x*ln(x)-8)/ln(x)))+x^2)","C"
7339,1,512,24,0.327000," ","int(((-2*x-2)*exp(2/x)*ln(x)*ln(5*ln(x)^3/(x^2+x))+(x^3-3*x^2-3*x)*exp(2/x)*ln(x)+(3*x^2+3*x)*exp(2/x))/(x^3+x^2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{2}{x}} \ln \left(x +1\right)+3 \,{\mathrm e}^{\frac{2}{x}} \ln \left(\ln \left(x \right)\right)-{\mathrm e}^{\frac{2}{x}} \ln \left(x \right)+i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2} {\mathrm e}^{\frac{2}{x}}-\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(i \ln \left(x \right)^{3}\right) {\mathrm e}^{\frac{2}{x}}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{3}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{3}}{x +1}\right)^{2} {\mathrm e}^{\frac{2}{x}}}{2}-\frac{i \pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{3}}{x \left(x +1\right)}\right)^{3} {\mathrm e}^{\frac{2}{x}}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x +1}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{3}}{x +1}\right)^{2} {\mathrm e}^{\frac{2}{x}}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(i \ln \left(x \right)^{3}\right)^{2} {\mathrm e}^{\frac{2}{x}}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \ln \left(x \right)^{3}}{x +1}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{3}}{x \left(x +1\right)}\right)^{2} {\mathrm e}^{\frac{2}{x}}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x +1}\right) \mathrm{csgn}\left(i \ln \left(x \right)^{3}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{3}}{x +1}\right) {\mathrm e}^{\frac{2}{x}}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{3}\right)^{2} {\mathrm e}^{\frac{2}{x}}}{2}-\frac{i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{3}\right)^{3} {\mathrm e}^{\frac{2}{x}}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{3}}{x \left(x +1\right)}\right)^{2} {\mathrm e}^{\frac{2}{x}}}{2}-\frac{i \pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{3}}{x +1}\right)^{3} {\mathrm e}^{\frac{2}{x}}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{3}}{x +1}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{3}}{x \left(x +1\right)}\right) {\mathrm e}^{\frac{2}{x}}}{2}-\frac{i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3} {\mathrm e}^{\frac{2}{x}}}{2}-\frac{i \pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) {\mathrm e}^{\frac{2}{x}}}{2}+\ln \left(5\right) {\mathrm e}^{\frac{2}{x}}+x \,{\mathrm e}^{\frac{2}{x}}$&$512$\\ \hline \end{longtable}"," ",0,"-exp(2/x)*ln(x+1)+3*exp(2/x)*ln(ln(x))-exp(2/x)*ln(x)+I*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2*exp(2/x)-1/2*I*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)*csgn(I*ln(x)^3)*exp(2/x)+1/2*I*Pi*csgn(I*ln(x)^3)*csgn(I*ln(x)^3/(x+1))^2*exp(2/x)-1/2*I*Pi*csgn(I/x/(x+1)*ln(x)^3)^3*exp(2/x)+1/2*I*Pi*csgn(I/(x+1))*csgn(I*ln(x)^3/(x+1))^2*exp(2/x)+1/2*I*Pi*csgn(I*ln(x)^2)*csgn(I*ln(x)^3)^2*exp(2/x)+1/2*I*Pi*csgn(I*ln(x)^3/(x+1))*csgn(I/x/(x+1)*ln(x)^3)^2*exp(2/x)-1/2*I*Pi*csgn(I/(x+1))*csgn(I*ln(x)^3)*csgn(I*ln(x)^3/(x+1))*exp(2/x)+1/2*I*Pi*csgn(I*ln(x))*csgn(I*ln(x)^3)^2*exp(2/x)-1/2*I*Pi*csgn(I*ln(x)^3)^3*exp(2/x)+1/2*I*Pi*csgn(I/x)*csgn(I/x/(x+1)*ln(x)^3)^2*exp(2/x)-1/2*I*Pi*csgn(I*ln(x)^3/(x+1))^3*exp(2/x)-1/2*I*Pi*csgn(I/x)*csgn(I*ln(x)^3/(x+1))*csgn(I/x/(x+1)*ln(x)^3)*exp(2/x)-1/2*I*Pi*csgn(I*ln(x)^2)^3*exp(2/x)-1/2*I*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)*exp(2/x)+ln(5)*exp(2/x)+x*exp(2/x)","C"
7340,1,12,18,0.022000," ","int(((3+x)*ln(x)+3*x+10)/(x*ln(x)+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +3 \ln \left(x \right)+\ln \left(3+\ln \left(x \right)\right)$&$12$\\ risch&$x +3 \ln \left(x \right)+\ln \left(3+\ln \left(x \right)\right)$&$12$\\ \hline \end{longtable}"," ",0,"x+3*ln(x)+ln(3+ln(x))","A"
7341,1,48,30,0.169000," ","int(((24*x^2+120*x+200)*exp(((5*x^3+25*x^2)*exp(1)-25*x^3-125*x^2-12*x-20)/(5*x^3+25*x^2))+5*x^5+50*x^4+125*x^3)/((5*x^5+50*x^4+125*x^3)*exp(((5*x^3+25*x^2)*exp(1)-25*x^3-125*x^2-12*x-20)/(5*x^3+25*x^2))+5*x^6+50*x^5+125*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x +{\mathrm e}^{\frac{\left(5 x^{3}+25 x^{2}\right) {\mathrm e}-25 x^{3}-125 x^{2}-12 x -20}{5 x^{3}+25 x^{2}}}\right)$&$48$\\ risch&$\frac{-\frac{12 x}{5}-4}{x^{2} \left(5+x \right)}-\frac{\left(5 x^{3}+25 x^{2}\right) {\mathrm e}-25 x^{3}-125 x^{2}-12 x -20}{5 x^{3}+25 x^{2}}+\ln \left({\mathrm e}^{\frac{5 x^{3} {\mathrm e}+25 x^{2} {\mathrm e}-25 x^{3}-125 x^{2}-12 x -20}{5 x^{2} \left(5+x \right)}}+x \right)$&$103$\\ \hline \end{longtable}"," ",0,"ln(x+exp(((5*x^3+25*x^2)*exp(1)-25*x^3-125*x^2-12*x-20)/(5*x^3+25*x^2)))","A"
7342,1,15,21,0.015000," ","int(3*x^2*exp(-x^3+3)+3*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{3}-{\mathrm e}^{-x^{3}+3}$&$15$\\ norman&$x^{3}-{\mathrm e}^{-x^{3}+3}$&$15$\\ risch&$x^{3}-{\mathrm e}^{-x^{3}+3}$&$15$\\ \hline \end{longtable}"," ",0,"x^3-exp(-x^3+3)","A"
7343,1,390,29,0.136000," ","int((((20*x^2-15*x)*ln(x)+4*x^3-43*x^2+30*x)*ln(-5*ln(x)+10-x)^2+((-40*x+60)*ln(x)-8*x^2+92*x-120)*ln(-5*ln(x)+10-x)+(-4*x^2-17*x+15)*ln((16*x^2-24*x+9)/x^4))/((20*x^2-15*x)*ln(x)+4*x^3-43*x^2+30*x)/ln(-5*ln(x)+10-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{8 \ln \left(2\right)-8 \ln \left(x \right)-i \pi  \mathrm{csgn}\left(i \left(x -\frac{3}{4}\right)\right)^{2} \mathrm{csgn}\left(i \left(x -\frac{3}{4}\right)^{2}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(x -\frac{3}{4}\right)^{2}}{x^{4}}\right)^{3}+i \pi  \mathrm{csgn}\left(i x^{4}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-i \pi  \mathrm{csgn}\left(i \left(x -\frac{3}{4}\right)^{2}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{4}}\right) \mathrm{csgn}\left(i \left(x -\frac{3}{4}\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x -\frac{3}{4}\right)^{2}}{x^{4}}\right)+i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+4 \ln \left(x -\frac{3}{4}\right)+i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)+2 i \pi  \,\mathrm{csgn}\left(i \left(x -\frac{3}{4}\right)\right) \mathrm{csgn}\left(i \left(x -\frac{3}{4}\right)^{2}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(x -\frac{3}{4}\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x -\frac{3}{4}\right)^{2}}{x^{4}}\right)^{2}-2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{4}}\right) \mathrm{csgn}\left(\frac{i \left(x -\frac{3}{4}\right)^{2}}{x^{4}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}}{2 \ln \left(-5 \ln \left(x \right)+10-x \right)}$&$390$\\ \hline \end{longtable}"," ",0,"x+1/2*(8*ln(2)-8*ln(x)-I*Pi*csgn(I*(x-3/4))^2*csgn(I*(x-3/4)^2)-I*Pi*csgn(I/x^4*(x-3/4)^2)^3+I*Pi*csgn(I*x^4)^3+I*Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-I*Pi*csgn(I*(x-3/4)^2)^3-I*Pi*csgn(I*x)*csgn(I*x^4)^2-I*Pi*csgn(I/x^4)*csgn(I*(x-3/4)^2)*csgn(I/x^4*(x-3/4)^2)+I*Pi*csgn(I*x^2)*csgn(I*x)^2+I*Pi*csgn(I*x^2)^3-I*Pi*csgn(I*x^2)*csgn(I*x^3)^2+4*ln(x-3/4)+I*Pi*csgn(I*x^3)^3+I*Pi*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)+2*I*Pi*csgn(I*(x-3/4))*csgn(I*(x-3/4)^2)^2+I*Pi*csgn(I*(x-3/4)^2)*csgn(I/x^4*(x-3/4)^2)^2-2*I*Pi*csgn(I*x^2)^2*csgn(I*x)+I*Pi*csgn(I/x^4)*csgn(I/x^4*(x-3/4)^2)^2-I*Pi*csgn(I*x^3)*csgn(I*x^4)^2-I*Pi*csgn(I*x)*csgn(I*x^3)^2)/ln(-5*ln(x)+10-x)","C"
7344,1,20,30,0.023000," ","int(((-2*x^3-24*x)*ln(x)-4*x^4-4*x^3-24*x^2-24*x+216)/(x^4*ln(x)+x^5+x^4-9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{12}{x^{2}}-2 \ln \left(x \ln \left(x \right)+x^{2}+x -9\right)$&$20$\\ risch&$-\frac{2 \left(x^{2} \ln \left(x \right)-6\right)}{x^{2}}-2 \ln \left(\ln \left(x \right)+\frac{x^{2}+x -9}{x}\right)$&$31$\\ \hline \end{longtable}"," ",0,"12/x^2-2*ln(x*ln(x)+x^2+x-9)","A"
7345,1,15,15,0.057000," ","int(-exp(exp(ln(10)^2))+1/2*exp(1/2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{\frac{x}{2}}-x \,{\mathrm e}^{{\mathrm e}^{\ln \left(10\right)^{2}}}$&$15$\\ norman&${\mathrm e}^{\frac{x}{2}}-x \,{\mathrm e}^{{\mathrm e}^{\ln \left(10\right)^{2}}}$&$15$\\ risch&$-{\mathrm e}^{{\mathrm e}^{\left(\ln \left(2\right)+\ln \left(5\right)\right)^{2}}} x +{\mathrm e}^{\frac{x}{2}}$&$18$\\ derivativedivides&${\mathrm e}^{\frac{x}{2}}-2 \,{\mathrm e}^{{\mathrm e}^{\ln \left(10\right)^{2}}} \ln \left({\mathrm e}^{\frac{x}{2}}\right)$&$19$\\ \hline \end{longtable}"," ",0,"exp(1/2*x)-x*exp(exp(ln(10)^2))","A"
7346,1,16,15,0.068000," ","int((32*x^3+32*x^2+32*x)*exp(x)^2*exp(16*x^2*exp(x)^2/(729*x^2+1458*x+729))/(729*x^3+2187*x^2+2187*x+729),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{16 x^{2} {\mathrm e}^{2 x}}{729 \left(x +1\right)^{2}}}$&$16$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{16 x^{2} {\mathrm e}^{2 x}}{729 x^{2}+1458 x +729}}+2 x \,{\mathrm e}^{\frac{16 x^{2} {\mathrm e}^{2 x}}{729 x^{2}+1458 x +729}}+{\mathrm e}^{\frac{16 x^{2} {\mathrm e}^{2 x}}{729 x^{2}+1458 x +729}}}{\left(x +1\right)^{2}}$&$81$\\ \hline \end{longtable}"," ",0,"exp(16/729*x^2*exp(2*x)/(x+1)^2)","A"
7347,1,34,18,0.027000," ","int(((2*x^6+4*x^5-4*x^2-2*x+1)*exp(x)^2+5*x^6+12*x^5-2*x^2+3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{5}+3 x^{4}-2 x -\frac{3}{x}+\frac{\left(x^{5}-2 x -1\right) {\mathrm e}^{2 x}}{x}$&$34$\\ default&$-2 x -\frac{{\mathrm e}^{2 x}}{x}-\frac{3}{x}+3 x^{4}+x^{5}-2 \,{\mathrm e}^{2 x}+{\mathrm e}^{2 x} x^{4}$&$41$\\ norman&$\frac{-3+x^{6}+x^{5} {\mathrm e}^{2 x}-2 x^{2}+3 x^{5}-{\mathrm e}^{2 x}-2 x \,{\mathrm e}^{2 x}}{x}$&$41$\\ \hline \end{longtable}"," ",0,"x^5+3*x^4-2*x-3/x+(x^5-2*x-1)/x*exp(2*x)","A"
7348,1,113,33,0.042000," ","int(((5*x^4-24*x^3+27*x^2)*ln(x)^2+(-2*x^10+24*x^9-100*x^8+168*x^7-60*x^6-240*x^5+628*x^4-528*x^3-18*x^2)*ln(x)-7*x^16+204*x^15-2568*x^14+18236*x^13-79932*x^12+221780*x^11-382272*x^10+381578*x^9-189668*x^8+43992*x^7-21016*x^6-828*x^5+1431*x^4+270*x^3)/(169971*x^20-1157680*x^19+5728480*x^18-20791560*x^17-71563680*x^11+106612717*x^12-141607796*x^13+145039298*x^14+55218437*x^16-106050644*x^15-1479492*x^7+8243811*x^8+39581880*x^10-15734160*x^9+ln(x)^4+874314*x^6-47628*x^5+35721*x^4+(4*x^18-156*x^17+2688*x^16-26848*x^15+171300*x^14-724740*x^13+2041420*x^12-3745020*x^11+4295684*x^10-3083396*x^9+1862828*x^8-1160748*x^7+268800*x^6-195480*x^5+11340*x^4-11340*x^3)*ln(x)+(4*x^6-52*x^5+220*x^4-300*x^3+20*x^2-60*x)*ln(x)^3+(6*x^12-156*x^11+1674*x^10-9480*x^9+29910*x^8-50460*x^7+39390*x^6-14400*x^5+13642*x^4-852*x^3+1278*x^2)*ln(x)^2+x^24-52*x^23+1234*x^22-17668*x^21),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3} \left(x^{2}-6 x +9\right)}{x^{12}-26 x^{11}+279 x^{10}-1580 x^{9}+4985 x^{8}+2 x^{6} \ln \left(x \right)-8410 x^{7}-26 x^{5} \ln \left(x \right)+6565 x^{6}+110 x^{4} \ln \left(x \right)-2400 x^{5}-150 x^{3} \ln \left(x \right)+2271 x^{4}+10 x^{2} \ln \left(x \right)-126 x^{3}+\ln \left(x \right)^{2}-30 x \ln \left(x \right)+189 x^{2}}$&$113$\\ \hline \end{longtable}"," ",0,"x^3*(x^2-6*x+9)/(x^12-26*x^11+279*x^10-1580*x^9+4985*x^8+2*x^6*ln(x)-8410*x^7-26*x^5*ln(x)+6565*x^6+110*x^4*ln(x)-2400*x^5-150*x^3*ln(x)+2271*x^4+10*x^2*ln(x)-126*x^3+ln(x)^2-30*x*ln(x)+189*x^2)","B"
7349,1,39,31,0.093000," ","int(((-18*x^5-72*x^4-72*x^3)*exp(x)^2+(48*x^6+120*x^5+120*x^4+540*x^3+828*x^2)*exp(x)-32*x^7-32*x^6-104*x^5-528*x^4-408*x^3-744*x^2-1800*x+360)/((9*x^4+36*x^3+36*x^2)*exp(x)^2+(-24*x^5-60*x^4-60*x^3-252*x^2-360*x)*exp(x)+16*x^6+16*x^5+52*x^4+264*x^3+156*x^2+360*x+900),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+\frac{12 x}{4 x^{3}-3 \,{\mathrm e}^{x} x^{2}+2 x^{2}-6 \,{\mathrm e}^{x} x +6 x +30}$&$39$\\ norman&$\frac{-30 x^{2}-6 x^{3}+12 x -2 x^{4}-4 x^{5}+6 \,{\mathrm e}^{x} x^{3}+3 \,{\mathrm e}^{x} x^{4}}{4 x^{3}-3 \,{\mathrm e}^{x} x^{2}+2 x^{2}-6 \,{\mathrm e}^{x} x +6 x +30}$&$69$\\ \hline \end{longtable}"," ",0,"-x^2+12*x/(4*x^3-3*exp(x)*x^2+2*x^2-6*exp(x)*x+6*x+30)","A"
7350,1,7928,28,1.001000," ","int(((-16*x^3-4*x)*ln(x^2)*ln((64*x^2+16)/ln(x^2))^2+((64*x^3+1280*x^2)*ln(5+1/4*x)*ln(x^2)+(-64*x^3-1280*x^2-16*x-320)*ln(5+1/4*x))*ln((64*x^2+16)/ln(x^2)))/(4*x^4+80*x^3+x^2+20*x)/ln(5+1/4*x)^2/ln(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$7928$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
7351,1,547,28,0.070000," ","int(((20*x+4)*exp(x)^2+(6*x^2*exp(3)-12*x^3-28*x^2)*exp(x))*exp(5*x)/(16*exp(x)^2+(8*x*exp(3)-16*x^2-40*x)*exp(x)+x^2*exp(3)^2+(-4*x^3-10*x^2)*exp(3)+4*x^4+20*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{11}}{128}+\frac{3125 x^{7}}{2048}+\frac{625 x^{8}}{512}+\frac{25 x^{10}}{256}+\frac{125 x^{9}}{256}+\frac{3125 x^{6}}{4096}-\frac{625 x^{7} {\mathrm e}^{3}}{512}+\frac{625 x^{6} {\mathrm e}^{6}}{2048}+\frac{x \,{\mathrm e}^{5 x}}{4}+\frac{x^{7} \left(15625+37500 x -12 x \,{\mathrm e}^{15}+9000 x^{2} {\mathrm e}^{6}+2400 x^{3} {\mathrm e}^{6}-2500 \,{\mathrm e}^{9}+9375 \,{\mathrm e}^{6}-18750 \,{\mathrm e}^{3}+64 x^{6}+960 x^{5}+6000 x^{4}+20000 x^{3}+37500 x^{2}-3000 x \,{\mathrm e}^{9}+15000 x \,{\mathrm e}^{6}-2400 x^{4} {\mathrm e}^{3}-37500 x \,{\mathrm e}^{3}-12000 x^{3} {\mathrm e}^{3}-192 x^{5} {\mathrm e}^{3}-30000 x^{2} {\mathrm e}^{3}-1200 x^{2} {\mathrm e}^{9}+{\mathrm e}^{18}+375 \,{\mathrm e}^{12}-30 \,{\mathrm e}^{15}-160 x^{3} {\mathrm e}^{9}+300 x \,{\mathrm e}^{12}+60 x^{2} {\mathrm e}^{12}+240 \,{\mathrm e}^{6} x^{4}\right)}{4096 x \,{\mathrm e}^{3}-8192 x^{2}+16384 \,{\mathrm e}^{x}-20480 x}-\frac{3125 x^{6} {\mathrm e}^{3}}{4096}-\frac{375 \,{\mathrm e}^{3} x^{8}}{512}+\left(\frac{5 x^{2}}{16}-\frac{x^{2} {\mathrm e}^{3}}{16}+\frac{x^{3}}{8}\right) {\mathrm e}^{4 x}+\left(\frac{25 x^{3}}{64}+\frac{x^{3} {\mathrm e}^{6}}{64}-\frac{5 x^{3} {\mathrm e}^{3}}{32}+\frac{5 x^{4}}{16}-\frac{x^{4} {\mathrm e}^{3}}{16}+\frac{x^{5}}{16}\right) {\mathrm e}^{3 x}+\left(\frac{125 x^{4}}{256}-\frac{x^{4} {\mathrm e}^{9}}{256}+\frac{15 \,{\mathrm e}^{6} x^{4}}{256}-\frac{75 x^{4} {\mathrm e}^{3}}{256}+\frac{75 x^{5}}{128}+\frac{3 \,{\mathrm e}^{6} x^{5}}{128}-\frac{15 x^{5} {\mathrm e}^{3}}{64}+\frac{15 x^{6}}{64}-\frac{3 x^{6} {\mathrm e}^{3}}{64}+\frac{x^{7}}{32}\right) {\mathrm e}^{2 x}+\left(\frac{625 x^{5}}{1024}+\frac{{\mathrm e}^{12} x^{5}}{1024}-\frac{5 \,{\mathrm e}^{9} x^{5}}{256}+\frac{75 \,{\mathrm e}^{6} x^{5}}{512}-\frac{125 x^{5} {\mathrm e}^{3}}{256}+\frac{125 x^{6}}{128}-\frac{x^{6} {\mathrm e}^{9}}{128}+\frac{15 x^{6} {\mathrm e}^{6}}{128}-\frac{75 x^{6} {\mathrm e}^{3}}{128}+\frac{75 x^{7}}{128}+\frac{3 x^{7} {\mathrm e}^{6}}{128}-\frac{15 x^{7} {\mathrm e}^{3}}{64}+\frac{5 x^{8}}{32}-\frac{{\mathrm e}^{3} x^{8}}{32}+\frac{x^{9}}{64}\right) {\mathrm e}^{x}-\frac{125 x^{6} {\mathrm e}^{9}}{2048}+\frac{375 x^{7} {\mathrm e}^{6}}{1024}-\frac{x^{6} {\mathrm e}^{15}}{4096}+\frac{25 x^{6} {\mathrm e}^{12}}{4096}-\frac{5 x^{8} {\mathrm e}^{9}}{512}+\frac{75 x^{8} {\mathrm e}^{6}}{512}+\frac{5 x^{7} {\mathrm e}^{12}}{2048}-\frac{25 x^{7} {\mathrm e}^{9}}{512}-\frac{5 \,{\mathrm e}^{3} x^{10}}{256}+\frac{5 x^{9} {\mathrm e}^{6}}{256}-\frac{25 \,{\mathrm e}^{3} x^{9}}{128}$&$547$\\ \hline \end{longtable}"," ",0,"1/128*x^11+3125/2048*x^7+625/512*x^8+25/256*x^10+125/256*x^9+3125/4096*x^6-625/512*x^7*exp(3)+625/2048*x^6*exp(6)+1/4*x*exp(5*x)-3125/4096*x^6*exp(3)-375/512*exp(3)*x^8+(5/16*x^2-1/16*x^2*exp(3)+1/8*x^3)*exp(4*x)+(25/64*x^3+1/64*x^3*exp(6)-5/32*x^3*exp(3)+5/16*x^4-1/16*x^4*exp(3)+1/16*x^5)*exp(3*x)+(125/256*x^4-1/256*x^4*exp(9)+15/256*exp(6)*x^4-75/256*x^4*exp(3)+75/128*x^5+3/128*exp(6)*x^5-15/64*x^5*exp(3)+15/64*x^6-3/64*x^6*exp(3)+1/32*x^7)*exp(2*x)+(625/1024*x^5+1/1024*exp(12)*x^5-5/256*exp(9)*x^5+75/512*exp(6)*x^5-125/256*x^5*exp(3)+125/128*x^6-1/128*x^6*exp(9)+15/128*x^6*exp(6)-75/128*x^6*exp(3)+75/128*x^7+3/128*x^7*exp(6)-15/64*x^7*exp(3)+5/32*x^8-1/32*exp(3)*x^8+1/64*x^9)*exp(x)-125/2048*x^6*exp(9)+375/1024*x^7*exp(6)-1/4096*x^6*exp(15)+25/4096*x^6*exp(12)-5/512*x^8*exp(9)+75/512*x^8*exp(6)+5/2048*x^7*exp(12)-25/512*x^7*exp(9)-5/256*exp(3)*x^10+5/256*x^9*exp(6)-25/128*exp(3)*x^9+1/4096*(15625+37500*x-12*x*exp(15)+9000*x^2*exp(6)+2400*x^3*exp(6)-2500*exp(9)+9375*exp(6)-18750*exp(3)+64*x^6+960*x^5+6000*x^4+20000*x^3+37500*x^2-3000*x*exp(9)+15000*x*exp(6)-2400*x^4*exp(3)-37500*x*exp(3)-12000*x^3*exp(3)-192*x^5*exp(3)-30000*x^2*exp(3)-1200*x^2*exp(9)+exp(18)+375*exp(12)-30*exp(15)-160*x^3*exp(9)+300*x*exp(12)+60*x^2*exp(12)+240*exp(6)*x^4)*x^7/(x*exp(3)-2*x^2+4*exp(x)-5*x)","B"
7352,1,6785,36,14.395000," ","int(((((4*x^2+8*x-32)*ln(x)+4*x^4+24*x^3-128*x)*ln((ln(x)+x^2+4*x)/(4+x))+(4*x^2+8*x-32)*exp(2)*ln(x)+(4*x^4+24*x^3-128*x)*exp(2))*ln((ln((ln(x)+x^2+4*x)/(4+x))^2+2*exp(2)*ln((ln(x)+x^2+4*x)/(4+x))+exp(2)^2)/x^2)^3+(((-4*x^2-16*x)*ln(x)-4*x^4-32*x^3-64*x^2)*ln((ln(x)+x^2+4*x)/(4+x))+(-4*x^2-16*x)*exp(2)*ln(x)+(-4*x^4-32*x^3-64*x^2)*exp(2))*ln((ln((ln(x)+x^2+4*x)/(4+x))^2+2*exp(2)*ln((ln(x)+x^2+4*x)/(4+x))+exp(2)^2)/x^2)^2+(((-4*x^3-8*x^2+32*x)*ln(x)-4*x^5-24*x^4+128*x^2)*ln((ln(x)+x^2+4*x)/(4+x))+((-4*x^3-8*x^2+32*x)*exp(2)-4*x^3+8*x^2)*ln(x)+(-4*x^5-24*x^4+128*x^2)*exp(2)+4*x^5+24*x^4+4*x^3-120*x^2-32*x)*ln((ln((ln(x)+x^2+4*x)/(4+x))^2+2*exp(2)*ln((ln(x)+x^2+4*x)/(4+x))+exp(2)^2)/x^2)+((4*x^3+16*x^2)*ln(x)+4*x^5+32*x^4+64*x^3)*ln((ln(x)+x^2+4*x)/(4+x))+((4*x^3+16*x^2)*exp(2)+4*x^3)*ln(x)+(4*x^5+32*x^4+64*x^3)*exp(2)-4*x^5-32*x^4-68*x^3-16*x^2)/(((x^4+4*x^3)*ln(x)+x^6+8*x^5+16*x^4)*ln((ln(x)+x^2+4*x)/(4+x))+(x^4+4*x^3)*exp(2)*ln(x)+(x^6+8*x^5+16*x^4)*exp(2))/ln((ln((ln(x)+x^2+4*x)/(4+x))^2+2*exp(2)*ln((ln(x)+x^2+4*x)/(4+x))+exp(2)^2)/x^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$6785$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
7353,1,16,15,0.058000," ","int(75*exp(1)*exp(3)*exp(x)/(81*exp(x)^2+450*exp(1)*exp(x)+625*exp(1)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{25 \,{\mathrm e}^{4}}{3 \left(25 \,{\mathrm e}+9 \,{\mathrm e}^{x}\right)}$&$16$\\ norman&$-\frac{25 \,{\mathrm e} \,{\mathrm e}^{3}}{3 \left(25 \,{\mathrm e}+9 \,{\mathrm e}^{x}\right)}$&$18$\\ \hline \end{longtable}"," ",0,"-25/3*exp(4)/(25*exp(1)+9*exp(x))","A"
7354,1,332,26,0.702000," ","int((((-2*x+2)*exp(x)-1)*ln(exp(x)^2/((8*x^2-16*x+8)*exp(x)^2+(8*x-8)*exp(x)+2))+(-2*x^3+2*x^2-4*x)*exp(x)-x^2+2*x)/(((2*x-2)*exp(x)+1)*ln(exp(x)^2/((8*x^2-16*x+8)*exp(x)^2+(8*x-8)*exp(x)+2))^2+((-4*x^3+4*x^2)*exp(x)-2*x^2)*ln(exp(x)^2/((8*x^2-16*x+8)*exp(x)^2+(8*x-8)*exp(x)+2))+(2*x^5-2*x^4)*exp(x)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{\left({\mathrm e}^{x} x -{\mathrm e}^{x}+\frac{1}{2}\right)^{2}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{x} x -{\mathrm e}^{x}+\frac{1}{2}\right)^{2}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{\left({\mathrm e}^{x} x -{\mathrm e}^{x}+\frac{1}{2}\right)^{2}}\right)^{2}+2 i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x} x -{\mathrm e}^{x}+\frac{1}{2}\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x} x -{\mathrm e}^{x}+\frac{1}{2}\right)^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{\left({\mathrm e}^{x} x -{\mathrm e}^{x}+\frac{1}{2}\right)^{2}}\right)^{3}-i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x} x -{\mathrm e}^{x}+\frac{1}{2}\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} x -{\mathrm e}^{x}+\frac{1}{2}\right)^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}-i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x} x -{\mathrm e}^{x}+\frac{1}{2}\right)^{2}\right)^{3}+i \pi  \,\mathrm{csgn}\left(\frac{i}{\left({\mathrm e}^{x} x -{\mathrm e}^{x}+\frac{1}{2}\right)^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{\left({\mathrm e}^{x} x -{\mathrm e}^{x}+\frac{1}{2}\right)^{2}}\right)+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}+2 x^{2}+6 \ln \left(2\right)+4 \ln \left({\mathrm e}^{x} x -{\mathrm e}^{x}+\frac{1}{2}\right)-4 \ln \left({\mathrm e}^{x}\right)}$&$332$\\ \hline \end{longtable}"," ",0,"2*x/(I*Pi*csgn(I*exp(x))^2*csgn(I*exp(2*x))-I*Pi*csgn(I*exp(2*x))*csgn(I*exp(2*x)/(exp(x)*x-exp(x)+1/2)^2)^2-I*Pi*csgn(I/(exp(x)*x-exp(x)+1/2)^2)*csgn(I*exp(2*x)/(exp(x)*x-exp(x)+1/2)^2)^2+2*I*Pi*csgn(I*(exp(x)*x-exp(x)+1/2))*csgn(I*(exp(x)*x-exp(x)+1/2)^2)^2+I*Pi*csgn(I*exp(2*x)/(exp(x)*x-exp(x)+1/2)^2)^3-I*Pi*csgn(I*(exp(x)*x-exp(x)+1/2))^2*csgn(I*(exp(x)*x-exp(x)+1/2)^2)-2*I*Pi*csgn(I*exp(x))*csgn(I*exp(2*x))^2-I*Pi*csgn(I*(exp(x)*x-exp(x)+1/2)^2)^3+I*Pi*csgn(I/(exp(x)*x-exp(x)+1/2)^2)*csgn(I*exp(2*x))*csgn(I*exp(2*x)/(exp(x)*x-exp(x)+1/2)^2)+I*Pi*csgn(I*exp(2*x))^3+2*x^2+6*ln(2)+4*ln(exp(x)*x-exp(x)+1/2)-4*ln(exp(x)))","C"
7355,1,12,11,0.012000," ","int(8*exp(16)*ln(2)^2+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +8 \ln \left(2\right)^{2} x \,{\mathrm e}^{16}$&$12$\\ default&$\left(8 \,{\mathrm e}^{16} \ln \left(2\right)^{2}+1\right) x$&$13$\\ norman&$\left(8 \,{\mathrm e}^{16} \ln \left(2\right)^{2}+1\right) x$&$13$\\ \hline \end{longtable}"," ",0,"x+8*ln(2)^2*x*exp(16)","A"
7356,1,17,19,0.017000," ","int(-5*ln(x)-10*x*exp(4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x^{2} {\mathrm e}^{8}-5 x \ln \left(x \right)+5 x$&$17$\\ default&$-5 x^{2} {\mathrm e}^{8}-5 x \ln \left(x \right)+5 x$&$19$\\ norman&$-5 x^{2} {\mathrm e}^{8}-5 x \ln \left(x \right)+5 x$&$19$\\ \hline \end{longtable}"," ",0,"-5*x^2*exp(8)-5*x*ln(x)+5*x","A"
7357,1,11,15,0.014000," ","int(2*x*ln(5)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{2} \ln \left(5\right)-x$&$11$\\ default&$x^{2} \ln \left(5\right)-x$&$11$\\ norman&$x^{2} \ln \left(5\right)-x$&$11$\\ risch&$x^{2} \ln \left(5\right)-x$&$11$\\ \hline \end{longtable}"," ",0,"x^2*ln(5)-x","A"
7358,1,26,23,0.049000," ","int(((3*x^3*exp(4)+3*x^3)*ln(5)-x+1)/(x*ln(x)+(x^4*exp(4)+x^4-3*x)*ln(5)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(5\right) {\mathrm e}^{4} x^{3}+x^{3} \ln \left(5\right)+\ln \left(x \right)-3 \ln \left(5\right)-x \right)$&$26$\\ risch&$\ln \left(\ln \left(5\right) {\mathrm e}^{4} x^{3}+x^{3} \ln \left(5\right)+\ln \left(x \right)-3 \ln \left(5\right)-x \right)$&$26$\\ \hline \end{longtable}"," ",0,"ln(ln(5)*exp(4)*x^3+x^3*ln(5)+ln(x)-3*ln(5)-x)","A"
7359,1,19,13,0.026000," ","int(1/324*(-ln(x)*ln(ln(75)*ln(x))^2+ln(ln(75)*ln(x)))/x^3/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\left(\ln \left(3\right)+2 \ln \left(5\right)\right) \ln \left(x \right)\right)^{2}}{648 x^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"1/648/x^2*ln((ln(3)+2*ln(5))*ln(x))^2","A"
7360,1,24,23,0.181000," ","int(((((-x*exp(4)^2-x^2)*exp(x/exp(4)^2)+x*exp(4)^2)*ln(x)+x*exp(4)^2*exp(x/exp(4)^2)+(-x+4)*exp(4)^2)*exp((-x*exp(x/exp(4)^2)+x-4)/ln(x))+x*exp(4)^2*ln(x)^2)*exp(exp((-x*exp(x/exp(4)^2)+x-4)/ln(x))+2+x)/x/exp(4)^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{-\frac{x \,{\mathrm e}^{x \,{\mathrm e}^{-8}}-x +4}{\ln \left(x \right)}}+2+x}$&$24$\\ \hline \end{longtable}"," ",0,"exp(exp(-(x*exp(x*exp(-8))-x+4)/ln(x))+2+x)","A"
7361,1,21,20,0.118000," ","int(1/27*(-x*exp(1/54*x^2-3)+54*exp(2*x+3)+27)*exp(-exp(1/54*x^2-3)+exp(2*x+3)+x-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-{\mathrm e}^{\frac{x^{2}}{54}-3}+{\mathrm e}^{2 x +3}+x -25}$&$21$\\ risch&${\mathrm e}^{-{\mathrm e}^{\frac{x^{2}}{54}-3}+{\mathrm e}^{2 x +3}+x -25}$&$21$\\ \hline \end{longtable}"," ",0,"exp(-exp(1/54*x^2-3)+exp(2*x+3)+x-25)","A"
7362,1,26,22,0.025000," ","int(-2/5*x*ln(x)+1/5*(-4*x^3-2*x)*exp(2*x^2)+x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{3 x^{2}}{5}-\frac{x^{2} \ln \left(x \right)}{5}-\frac{{\mathrm e}^{2 x^{2}} x^{2}}{5}$&$26$\\ norman&$x +\frac{3 x^{2}}{5}-\frac{x^{2} \ln \left(x \right)}{5}-\frac{{\mathrm e}^{2 x^{2}} x^{2}}{5}$&$26$\\ risch&$x +\frac{3 x^{2}}{5}-\frac{x^{2} \ln \left(x \right)}{5}-\frac{{\mathrm e}^{2 x^{2}} x^{2}}{5}$&$26$\\ \hline \end{longtable}"," ",0,"3/5*x^2+x-1/5*x^2*ln(x)-1/5*x^2*exp(x^2)^2","A"
7363,1,40,15,0.023000," ","int(((12*x^2-2*x+2)*ln(x)+36*x^4-18*x^3-112*x^2+18*x-20)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$9 x^{4}+6 x^{2} \ln \left(x \right)-59 x^{2}-6 x^{3}-2 x \ln \left(x \right)+20 x +\ln \left(x \right)^{2}-20 \ln \left(x \right)$&$40$\\ norman&$9 x^{4}+6 x^{2} \ln \left(x \right)-59 x^{2}-6 x^{3}-2 x \ln \left(x \right)+20 x +\ln \left(x \right)^{2}-20 \ln \left(x \right)$&$40$\\ risch&$\ln \left(x \right)^{2}+\left(6 x^{2}-2 x \right) \ln \left(x \right)+9 x^{4}-6 x^{3}-59 x^{2}+20 x -20 \ln \left(x \right)$&$40$\\ \hline \end{longtable}"," ",0,"9*x^4+6*x^2*ln(x)-59*x^2-6*x^3-2*x*ln(x)+20*x+ln(x)^2-20*ln(x)","B"
7364,1,9,8,0.018000," ","int(1/250*(-3*ln(x^3)*ln(ln(x^3))-9)/ln(x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{3 x \ln \left(\ln \left(x^{3}\right)\right)}{250}$&$9$\\ \hline \end{longtable}"," ",0,"-3/250*x*ln(ln(x^3))","A"
7365,1,40,29,0.077000," ","int(((-2*exp(3)-2*x)*exp(x)^2+(10*exp(3)+10*x)*exp(x)-2*exp(3)-2*x-1)*exp(exp(x)^2-10*exp(x)+2*x+25)-ln(4+exp(4))+2*x+exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-{\mathrm e}^{3}-x \right) {\mathrm e}^{{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x}+2 x +25}-\ln \left(4+{\mathrm e}^{4}\right) x +x^{2}+x \,{\mathrm e}^{3}$&$40$\\ default&$-{\mathrm e}^{{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x}+2 x +25} x -{\mathrm e}^{3} {\mathrm e}^{{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x}+2 x +25}+x^{2}-\ln \left(4+{\mathrm e}^{4}\right) x +x \,{\mathrm e}^{3}$&$52$\\ norman&$x^{2}+\left({\mathrm e}^{3}-\ln \left(4+{\mathrm e}^{4}\right)\right) x -{\mathrm e}^{3} {\mathrm e}^{{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x}+2 x +25}-{\mathrm e}^{{\mathrm e}^{2 x}-10 \,{\mathrm e}^{x}+2 x +25} x$&$52$\\ \hline \end{longtable}"," ",0,"(-exp(3)-x)*exp(exp(2*x)-10*exp(x)+2*x+25)-ln(4+exp(4))*x+x^2+x*exp(3)","A"
7366,1,26,20,0.027000," ","int((120*ln(x^2)+9*x^3-12*x^2-90*x+540)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-330+90 x +9 x^{3}-60 \ln \left(x^{2}\right)}{x^{2}}-12 \ln \left(x \right)$&$26$\\ default&$9 x -12 \ln \left(x \right)+\frac{90}{x}-\frac{330}{x^{2}}-\frac{60 \ln \left(x^{2}\right)}{x^{2}}$&$28$\\ risch&$-\frac{60 \ln \left(x^{2}\right)}{x^{2}}-\frac{3 \left(4 x^{2} \ln \left(x \right)-3 x^{3}-30 x +110\right)}{x^{2}}$&$33$\\ \hline \end{longtable}"," ",0,"(-330+90*x+9*x^3-60*ln(x^2))/x^2-12*ln(x)","A"
7367,1,20,21,0.044000," ","int(1/3*ln(3*ln(3*exp(exp(1/2*exp(3)+4))-6)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x \ln \left(3 \ln \left(3 \,{\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{3}}{2}+4}}-6\right)\right)}{3}$&$20$\\ norman&$\left(\frac{\ln \left(3\right)}{3}+\frac{\ln \left(\ln \left(3\right)+\ln \left({\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{3}}{2}+4}}-2\right)\right)}{3}\right) x$&$25$\\ risch&$\frac{x \ln \left(3\right)}{3}+\frac{x \ln \left(\ln \left(3\right)+\ln \left({\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{3}}{2}+4}}-2\right)\right)}{3}$&$25$\\ \hline \end{longtable}"," ",0,"1/3*x*ln(3*ln(3*exp(exp(1/2*exp(3)+4))-6))","A"
7368,1,5,23,0.009000," ","int(-1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)$&$5$\\ norman&$-\ln \left(x \right)$&$5$\\ risch&$-\ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"-ln(x)","A"
7369,1,41,26,0.033000," ","int((((-2*x^4-63*x^3-535*x^2-636*x-192)*exp(x)+6*x^3+139*x^2+708*x+320)*ln(2*x+1)^2+((4*x^3+136*x^2+1280*x+2048)*exp(x)+4*x^3+136*x^2+1280*x+2048)*ln(2*x+1)+(-4*x^2-6*x-2)*exp(x)+4*x+2)/((2*x+1)*exp(x)^2+(4*x+2)*exp(x)+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{3}+34 x^{2}+320 x +512\right) \ln \left(2 x +1\right)^{2}}{{\mathrm e}^{x}+1}+\frac{2 x +4}{{\mathrm e}^{x}+1}$&$41$\\ \hline \end{longtable}"," ",0,"(x^3+34*x^2+320*x+512)/(exp(x)+1)*ln(2*x+1)^2+2*(2+x)/(exp(x)+1)","A"
7370,1,17,15,0.070000," ","int(1/4*((100*ln(x)+225)*ln(x^2)+200*ln(x)+250)*exp(1/4*(100*x*ln(x)+125*x)*ln(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{\frac{\left(100 x \ln \left(x \right)+125 x \right) \ln \left(x^{2}\right)}{4}}$&$17$\\ norman&${\mathrm e}^{\frac{\left(100 x \ln \left(x \right)+125 x \right) \ln \left(x^{2}\right)}{4}}$&$17$\\ risch&${\mathrm e}^{\frac{25 x \left(4 \ln \left(x \right)+5\right) \left(-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 \ln \left(x \right)\right)}{8}}$&$65$\\ \hline \end{longtable}"," ",0,"exp(1/4*(100*x*ln(x)+125*x)*ln(x^2))","A"
7371,1,31,44,0.047000," ","int((10*x*ln(2)*ln(3)^2*ln(x)*ln(ln(x))+5*x*ln(2)*ln(3)^2)*exp(x^2*ln(ln(x)))^2/(256*ln(3)^3*ln(x)*exp(x^2*ln(ln(x)))^3+384*ln(3)^2*ln(x)*exp(x^2*ln(ln(x)))^2+192*ln(3)*ln(x)*exp(x^2*ln(ln(x)))+32*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \ln \left(2\right) \left(4 \ln \left(3\right) \ln \left(x \right)^{x^{2}}+1\right)}{256 \left(2 \ln \left(3\right) \ln \left(x \right)^{x^{2}}+1\right)^{2}}$&$31$\\ \hline \end{longtable}"," ",0,"-5/256*ln(2)*(4*ln(3)*ln(x)^(x^2)+1)/(2*ln(3)*ln(x)^(x^2)+1)^2","A"
7372,1,16,17,0.159000," ","int(((-144*x-160)*ln(-9*x-10)+27*x^3+30*x^2+144*x)/(135*x^3+150*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 \ln \left(-9 x -10\right)}{15 x}+\frac{x}{5}$&$16$\\ norman&$\frac{\frac{x^{2}}{5}+\frac{16 \ln \left(-9 x -10\right)}{15}}{x}$&$19$\\ derivativedivides&$-\frac{8 \ln \left(-9 x -10\right) \left(-9 x -10\right)}{75 x}+\frac{x}{5}+\frac{2}{9}-\frac{24 \ln \left(-9 x -10\right)}{25}$&$30$\\ default&$-\frac{8 \ln \left(-9 x -10\right) \left(-9 x -10\right)}{75 x}+\frac{x}{5}+\frac{2}{9}-\frac{24 \ln \left(-9 x -10\right)}{25}$&$30$\\ \hline \end{longtable}"," ",0,"16/15/x*ln(-9*x-10)+1/5*x","A"
7373,1,21,21,0.160000," ","int(((5*x^2-25*x)*exp(x)^2*exp(ln(x-4)-x)+(10*x^2-50*x+40)*exp(x)^2)/(3*x^4-12*x^3)/exp(exp(ln(x-4)-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 \,{\mathrm e}^{2 x} {\mathrm e}^{-\left(x -4\right) {\mathrm e}^{-x}}}{3 x^{2}}$&$21$\\ risch&$\frac{5 \,{\mathrm e}^{-x \,{\mathrm e}^{-x}+4 \,{\mathrm e}^{-x}+2 x}}{3 x^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"5/3*exp(x)^2/x^2/exp((x-4)/exp(x))","A"
7374,1,216,29,0.200000," ","int(((5*x^5-5*x^4+45*x^3-45*x^2)*exp(x)*ln((x^2+9)/x^2)^2+((-50*x^5+50*x^4-450*x^3+450*x^2)*exp(x)+5*x^4-10*x^3+45*x^2-90*x)*ln((x^2+9)/x^2)+(125*x^5-125*x^4+1125*x^3-1125*x^2)*exp(x)-25*x^4+50*x^3-315*x^2+540*x)/((3*x^4+27*x^2)*exp(x)^2*ln((x^2+9)/x^2)^2+((-30*x^4-270*x^2)*exp(x)^2+(-6*x^4+6*x^3-54*x^2+54*x)*exp(x))*ln((x^2+9)/x^2)+(75*x^4+675*x^2)*exp(x)^2+(30*x^4-30*x^3+270*x^2-270*x)*exp(x)+3*x^4-6*x^3+30*x^2-54*x+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 x \,{\mathrm e}^{-x}}{3}+\frac{10 i x \left(x -1\right) {\mathrm e}^{-x}}{3 \left(\pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}-2 \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}+\pi  x \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}-\pi  x \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left(x^{2}+9\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+9\right)}{x^{2}}\right) {\mathrm e}^{x}+\pi  x \,\mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+9\right)}{x^{2}}\right)^{2} {\mathrm e}^{x}+\pi  x \,\mathrm{csgn}\left(i \left(x^{2}+9\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+9\right)}{x^{2}}\right)^{2} {\mathrm e}^{x}-\pi  x \mathrm{csgn}\left(\frac{i \left(x^{2}+9\right)}{x^{2}}\right)^{3} {\mathrm e}^{x}+4 i x \,{\mathrm e}^{x} \ln \left(x \right)-2 i x \,{\mathrm e}^{x} \ln \left(x^{2}+9\right)+10 i x \,{\mathrm e}^{x}+2 i x -2 i\right)}$&$216$\\ \hline \end{longtable}"," ",0,"-5/3*x*exp(-x)+10/3*I*x*(x-1)/(Pi*x*csgn(I*x)^2*csgn(I*x^2)*exp(x)-2*Pi*x*csgn(I*x)*csgn(I*x^2)^2*exp(x)+Pi*x*csgn(I*x^2)^3*exp(x)-Pi*x*csgn(I/x^2)*csgn(I*(x^2+9))*csgn(I/x^2*(x^2+9))*exp(x)+Pi*x*csgn(I/x^2)*csgn(I/x^2*(x^2+9))^2*exp(x)+Pi*x*csgn(I*(x^2+9))*csgn(I/x^2*(x^2+9))^2*exp(x)-Pi*x*csgn(I/x^2*(x^2+9))^3*exp(x)+4*I*x*exp(x)*ln(x)-2*I*x*exp(x)*ln(x^2+9)+10*I*x*exp(x)+2*I*x-2*I)*exp(-x)","C"
7375,1,14,13,0.158000," ","int((-2*ln(x)+2)/(x^2*exp(4)-5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \ln \left(x \right)}{\left({\mathrm e}^{4}-5\right) x}$&$14$\\ risch&$\frac{2 \ln \left(x \right)}{\left({\mathrm e}^{4}-5\right) x}$&$14$\\ default&$-\frac{2 \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)}{{\mathrm e}^{4}-5}-\frac{2}{\left({\mathrm e}^{4}-5\right) x}$&$34$\\ \hline \end{longtable}"," ",0,"2/(exp(4)-5)/x*ln(x)","A"
7376,1,87,30,0.163000," ","int(((100*x^2+50*x-150)*exp(x)^2*ln(2*x+3)^2+(-200*x^5-360*x^4+110*x^3+400*x^2+50*x-300)*exp(x)^2*ln(2*x+3)+(100*x^8+310*x^7-16*x^6-740*x^5-574*x^4+310*x^3+400*x^2-150)*exp(x)^2)/(2*x^4+3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 \,{\mathrm e}^{2 x} \ln \left(2 x +3\right)^{2}}{x^{2}}-\frac{10 \left(5 x^{3}-x^{2}-5 x -5\right) {\mathrm e}^{2 x} \ln \left(2 x +3\right)}{x^{2}}+\frac{\left(25 x^{6}-10 x^{5}-49 x^{4}-40 x^{3}+35 x^{2}+50 x +25\right) {\mathrm e}^{2 x}}{x^{2}}$&$87$\\ \hline \end{longtable}"," ",0,"25/x^2*exp(2*x)*ln(2*x+3)^2-10*(5*x^3-x^2-5*x-5)/x^2*exp(2*x)*ln(2*x+3)+(25*x^6-10*x^5-49*x^4-40*x^3+35*x^2+50*x+25)/x^2*exp(2*x)","B"
7377,1,11,12,0.153000," ","int(16*exp(3)/(4*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \,{\mathrm e}^{3} \ln \left(4 x -1\right)$&$11$\\ norman&$4 \,{\mathrm e}^{3} \ln \left(4 x -1\right)$&$11$\\ meijerg&$4 \,{\mathrm e}^{3} \ln \left(-4 x +1\right)$&$11$\\ risch&$4 \,{\mathrm e}^{3} \ln \left(4 x -1\right)$&$11$\\ \hline \end{longtable}"," ",0,"4*exp(3)*ln(4*x-1)","A"
7378,1,30,26,0.886000," ","int((x*exp(5)*exp(exp(4))+(-3*x-1)*exp(5)-1)*exp((-exp(5)-1)/(x*exp(5)*exp(exp(4))-3*x*exp(5)))/((x*exp(5)*exp(exp(4))-3*x*exp(5))*exp((-exp(5)-1)/(x*exp(5)*exp(exp(4))-3*x*exp(5)))^2+(2*x^2*exp(5)*exp(exp(4))-6*x^2*exp(5))*exp((-exp(5)-1)/(x*exp(5)*exp(exp(4))-3*x*exp(5)))+x^3*exp(5)*exp(exp(4))-3*x^3*exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{x +{\mathrm e}^{\frac{{\mathrm e}^{5}+1}{x \left(3 \,{\mathrm e}^{5}-{\mathrm e}^{5+{\mathrm e}^{4}}\right)}}}$&$30$\\ norman&$-\frac{{\mathrm e}^{\frac{-{\mathrm e}^{5}-1}{x \,{\mathrm e}^{5} {\mathrm e}^{{\mathrm e}^{4}}-3 x \,{\mathrm e}^{5}}}}{x +{\mathrm e}^{\frac{-{\mathrm e}^{5}-1}{x \,{\mathrm e}^{5} {\mathrm e}^{{\mathrm e}^{4}}-3 x \,{\mathrm e}^{5}}}}$&$53$\\ \hline \end{longtable}"," ",0,"x/(x+exp((exp(5)+1)/x/(3*exp(5)-exp(5+exp(4)))))","A"
7379,1,25,23,0.100000," ","int((((2*x*exp(4)+6*x)*exp((exp(4)+3)/exp(2*x))+exp(2*x))*exp(exp((exp(4)+3)/exp(2*x))+6)-3*exp(2*x))/exp(2*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{x}-\frac{{\mathrm e}^{{\mathrm e}^{\left({\mathrm e}^{4}+3\right) {\mathrm e}^{-2 x}}+6}}{x}$&$25$\\ norman&$\frac{\left(-{\mathrm e}^{2 x} {\mathrm e}^{{\mathrm e}^{\left({\mathrm e}^{4}+3\right) {\mathrm e}^{-2 x}}+6}+3 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{-2 x}}{x}$&$39$\\ \hline \end{longtable}"," ",0,"3/x-1/x*exp(exp((exp(4)+3)*exp(-2*x))+6)","A"
7380,1,21,23,0.026000," ","int((4*x^4-2*x^3-9*x^2+3*x-1)/(x^3-2*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x^{2}+6 x -\ln \left(x \right)+\frac{5}{x -1}$&$21$\\ risch&$2 x^{2}+6 x -\ln \left(x \right)+\frac{5}{x -1}$&$21$\\ norman&$\frac{2 x^{3}+4 x^{2}-1}{x -1}-\ln \left(x \right)$&$24$\\ \hline \end{longtable}"," ",0,"2*x^2+6*x-ln(x)+5/(x-1)","A"
7381,1,20,23,0.053000," ","int(((-972*x^2*ln(x)+1944*x^2-1944)*exp((-81*x^2+81)/ln(x)^4)^2+3*x*ln(x)^5)/x/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \,{\mathrm e}^{-\frac{162 \left(x -1\right) \left(x +1\right)}{\ln \left(x \right)^{4}}}+3 x$&$20$\\ \hline \end{longtable}"," ",0,"3*exp(-162*(x-1)*(x+1)/ln(x)^4)+3*x","A"
7382,1,20,18,0.058000," ","int(1/20*((3*x^2+33*x-72)*exp(x)-40*x^4-80*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-4 x +\frac{3 \left(x +12\right) {\mathrm e}^{x}}{20 x^{2}}$&$20$\\ default&$-x^{2}-4 x +\frac{9 \,{\mathrm e}^{x}}{5 x^{2}}+\frac{3 \,{\mathrm e}^{x}}{20 x}$&$24$\\ norman&$\frac{-4 x^{3}-x^{4}+\frac{3 \,{\mathrm e}^{x} x}{20}+\frac{9 \,{\mathrm e}^{x}}{5}}{x^{2}}$&$25$\\ \hline \end{longtable}"," ",0,"-x^2-4*x+3/20*(x+12)/x^2*exp(x)","A"
7383,1,25,23,0.039000," ","int(((2*x^3+17*x^2+3*x)*exp(4*x)^2+(-10*x^2-15*x-5)*exp(x))/(x^2*exp(4*x)^2-5*exp(x)*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+3 x +3 \ln \left(x \right)+2 \ln \left({\mathrm e}^{7 x}-\frac{5}{x}\right)$&$25$\\ \hline \end{longtable}"," ",0,"x^2+3*x+3*ln(x)+2*ln(exp(7*x)-5/x)","A"
7384,1,66,33,0.142000," ","int(((16*x^2+16*x-16)*exp(5+2*x)^2+(32*x^3+64*x^2-32*x-96)*exp(5+2*x)-x^6-6*x^5-12*x^4-40*x^3-144*x^2-240*x-144)/(x^6+6*x^5+12*x^4+8*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{16 x^{2}+48 x +36}{x^{2} \left(x^{2}+4 x +4\right)}+\frac{4 \,{\mathrm e}^{4 x +10}}{x^{2} \left(2+x \right)^{2}}+\frac{8 \left(2 x +3\right) {\mathrm e}^{5+2 x}}{x^{2} \left(2+x \right)^{2}}$&$66$\\ derivativedivides&$\frac{4}{\left(2 x +4\right)^{2}}-\frac{6}{2 x +4}+\frac{9}{x^{2}}+\frac{3}{x}-\frac{5}{2}-x +\frac{4 \,{\mathrm e}^{5+2 x}}{2 x +4}-\frac{2 \,{\mathrm e}^{5+2 x}}{x}+\frac{6 \,{\mathrm e}^{5+2 x}}{x^{2}}-\frac{8 \,{\mathrm e}^{5+2 x}}{\left(2 x +4\right)^{2}}+\frac{2 \,{\mathrm e}^{4 x +10}}{2 x +4}-\frac{{\mathrm e}^{4 x +10}}{x}+\frac{{\mathrm e}^{4 x +10}}{x^{2}}+\frac{4 \,{\mathrm e}^{4 x +10}}{\left(2 x +4\right)^{2}}$&$145$\\ default&$\frac{4}{\left(2 x +4\right)^{2}}-\frac{6}{2 x +4}+\frac{9}{x^{2}}+\frac{3}{x}-\frac{5}{2}-x +\frac{4 \,{\mathrm e}^{5+2 x}}{2 x +4}-\frac{2 \,{\mathrm e}^{5+2 x}}{x}+\frac{6 \,{\mathrm e}^{5+2 x}}{x^{2}}-\frac{8 \,{\mathrm e}^{5+2 x}}{\left(2 x +4\right)^{2}}+\frac{2 \,{\mathrm e}^{4 x +10}}{2 x +4}-\frac{{\mathrm e}^{4 x +10}}{x}+\frac{{\mathrm e}^{4 x +10}}{x^{2}}+\frac{4 \,{\mathrm e}^{4 x +10}}{\left(2 x +4\right)^{2}}$&$145$\\ \hline \end{longtable}"," ",0,"-x+(16*x^2+48*x+36)/x^2/(x^2+4*x+4)+4/x^2/(2+x)^2*exp(4*x+10)+8*(2*x+3)/x^2/(2+x)^2*exp(5+2*x)","A"
7385,1,26,22,0.026000," ","int(1/2*(((-12*x-12)*exp(1)+9*x^2+18*x)*exp(x)+6*exp(1)*ln(5)+18*exp(1))/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(3 \ln \left(5\right)+9\right) x -6 \,{\mathrm e}^{x} x +\frac{9 x^{2} {\mathrm e}^{-1} {\mathrm e}^{x}}{2}$&$26$\\ risch&$3 x \ln \left(5\right)+9 x +\frac{\left(-12 x \,{\mathrm e}+9 x^{2}\right) {\mathrm e}^{x -1}}{2}$&$27$\\ default&$\frac{{\mathrm e}^{-1} \left(9 \,{\mathrm e}^{x} x^{2}-12 \,{\mathrm e} \,{\mathrm e}^{x}-12 \,{\mathrm e} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+6 x \,{\mathrm e} \ln \left(5\right)+18 x \,{\mathrm e}\right)}{2}$&$46$\\ \hline \end{longtable}"," ",0,"(3*ln(5)+9)*x-6*exp(x)*x+9/2*x^2/exp(1)*exp(x)","A"
7386,1,28,22,0.058000," ","int(((2*exp(4)+6)*exp(2*x/exp(2))*exp(exp(2*x/exp(2)))+exp(2)*exp(x)+exp(2))/(exp(2)*exp(4)+3*exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{{\mathrm e}^{4}+3}+\frac{{\mathrm e}^{x}}{{\mathrm e}^{4}+3}+{\mathrm e}^{{\mathrm e}^{2 x \,{\mathrm e}^{-2}}}$&$28$\\ default&$\frac{{\mathrm e}^{2} {\mathrm e}^{x}+\frac{\left(2 \,{\mathrm e}^{4}+6\right) {\mathrm e}^{{\mathrm e}^{2 x \,{\mathrm e}^{-2}}} {\mathrm e}^{2}}{2}+{\mathrm e}^{2} x}{{\mathrm e}^{2} {\mathrm e}^{4}+3 \,{\mathrm e}^{2}}$&$43$\\ risch&$\frac{{\mathrm e}^{2} x}{{\mathrm e}^{6}+3 \,{\mathrm e}^{2}}+\frac{{\mathrm e}^{2+x}}{{\mathrm e}^{6}+3 \,{\mathrm e}^{2}}+\frac{{\mathrm e}^{2+{\mathrm e}^{2 x \,{\mathrm e}^{-2}}} {\mathrm e}^{4}}{{\mathrm e}^{6}+3 \,{\mathrm e}^{2}}+\frac{3 \,{\mathrm e}^{2+{\mathrm e}^{2 x \,{\mathrm e}^{-2}}}}{{\mathrm e}^{6}+3 \,{\mathrm e}^{2}}$&$70$\\ \hline \end{longtable}"," ",0,"1/(exp(4)+3)*x+1/(exp(4)+3)*exp(x)+exp(exp(2*x/exp(2)))","A"
7387,1,46,29,0.053000," ","int(((((100*x^4-200*x^3)*ln(3)-300*x^3+700*x^2-200*x)*exp(x)-60*x^4*ln(3)+180*x^3-60*x^2)*ln(x^2*ln(3)-3*x+1)+(200*x^3*ln(3)-600*x^2+200*x)*exp(x)^2+((60*x^5+60*x^4-200*x^3)*ln(3)-180*x^4-120*x^3+360*x^2)*exp(x)-120*x^4*ln(3)+180*x^3)/((25*x^2*ln(3)-75*x+25)*exp(x)^2+(30*x^3*ln(3)-90*x^2+30*x)*exp(x)+9*x^4*ln(3)-27*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{20 x^{2} \ln \left(x^{2} \ln \left(3\right)-3 x +1\right)}{3 x +5 \,{\mathrm e}^{x}}+\frac{20 x^{2} {\mathrm e}^{x}}{3 x +5 \,{\mathrm e}^{x}}$&$46$\\ \hline \end{longtable}"," ",0,"-20*x^2/(3*x+5*exp(x))*ln(x^2*ln(3)-3*x+1)+20*x^2*exp(x)/(3*x+5*exp(x))","A"
7388,1,56,37,0.051000," ","int(2/9*x*ln(x*exp(4)+3*x)^2-4/9*x*ln(x)*ln(x*exp(4)+3*x)+2/9*x*ln(x)^2-3*x^2+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} \ln \left(x \,{\mathrm e}^{4}+3 x \right)^{2}}{9}-\frac{x^{2} \ln \left(x \,{\mathrm e}^{4}+3 x \right)}{9}-\frac{x^{2} \ln \left(x \right)^{2}}{9}+\frac{x^{2} \ln \left(x \right)}{9}-x^{3}+x^{2}$&$56$\\ default&$-x^{3}+\frac{17 x^{2}}{18}+\frac{x^{2} \ln \left(x \right)^{2}}{9}+\frac{{\mathrm e}^{8} \ln \left(\left({\mathrm e}^{4}+3\right) x \right)^{2} x^{2}}{9 \left({\mathrm e}^{4}+3\right)^{2}}+\frac{2 \,{\mathrm e}^{4} \ln \left(\left({\mathrm e}^{4}+3\right) x \right)^{2} x^{2}}{3 \left({\mathrm e}^{4}+3\right)^{2}}+\frac{\ln \left(\left({\mathrm e}^{4}+3\right) x \right)^{2} x^{2}}{\left({\mathrm e}^{4}+3\right)^{2}}-\frac{{\mathrm e}^{8} \ln \left(\left({\mathrm e}^{4}+3\right) x \right) x^{2}}{9 \left({\mathrm e}^{4}+3\right)^{2}}-\frac{2 \,{\mathrm e}^{4} \ln \left(\left({\mathrm e}^{4}+3\right) x \right) x^{2}}{3 \left({\mathrm e}^{4}+3\right)^{2}}-\frac{\ln \left(\left({\mathrm e}^{4}+3\right) x \right) x^{2}}{\left({\mathrm e}^{4}+3\right)^{2}}+\frac{{\mathrm e}^{8} x^{2}}{18 \left({\mathrm e}^{4}+3\right)^{2}}+\frac{{\mathrm e}^{4} x^{2}}{3 \left({\mathrm e}^{4}+3\right)^{2}}+\frac{x^{2}}{2 \left({\mathrm e}^{4}+3\right)^{2}}+\frac{x^{2} \ln \left(x \,{\mathrm e}^{4}+3 x \right)}{9}-\frac{2 x^{2} \ln \left(x \right) \ln \left(x \,{\mathrm e}^{4}+3 x \right)}{9}$&$215$\\ \hline \end{longtable}"," ",0,"1/9*x^2*ln(x*exp(4)+3*x)^2-1/9*x^2*ln(x*exp(4)+3*x)-1/9*x^2*ln(x)^2+1/9*x^2*ln(x)-x^3+x^2","A"
7389,1,49,31,0.198000," ","int(((((-exp(x)+x-5)*ln(x)-exp(x)+x-5)*exp(x*ln(x))-2*exp(x)*x+2*x^2-10*x)*ln(-3/(exp(x)+5-x))+(exp(x)+5-x)*exp(x*ln(x))^2+((6*exp(x)-6*x+30)*ln(x)+(2*x^2+5)*exp(x)-2*x^3+10*x^2-6*x+31)*exp(x*ln(x))+(x^4-x^2+12*x)*exp(x)-x^5+5*x^4-11*x^2+60*x)/((exp(x)+5-x)*exp(x*ln(x))^2+(2*exp(x)*x^2-2*x^3+10*x^2)*exp(x*ln(x))+exp(x)*x^4-x^5+5*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(-{\mathrm e}^{x}+x -5\right)}{x^{2}+x^{x}}+\frac{-12+2 x^{3}+2 x^{x} x +2 \ln \left(3\right)}{2 x^{2}+2 x^{x}}$&$49$\\ \hline \end{longtable}"," ",0,"-1/(x^2+x^x)*ln(-exp(x)+x-5)+1/2*(-12+2*x^3+2*x^x*x+2*ln(3))/(x^2+x^x)","A"
7390,1,16,18,0.044000," ","int((4*x*exp(x)*ln(x)^2+4*x*exp(x)*ln(x)-4)*exp(exp(x)+10*ln(3)-18)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{236196 \left(\ln \left(x \right)+1\right) {\mathrm e}^{{\mathrm e}^{x}-18}}{\ln \left(x \right)}$&$16$\\ \hline \end{longtable}"," ",0,"236196*(ln(x)+1)/ln(x)*exp(exp(x)-18)","A"
7391,1,170,24,0.342000," ","int((((x+1)*exp(exp(x))-5*x-5)*ln((x^2+2*x+1)*exp(exp(x))^2+(-10*x^2-20*x-10)*exp(exp(x))+25*x^2+50*x+25)*ln(64*ln((x^2+2*x+1)*exp(exp(x))^2+(-10*x^2-20*x-10)*exp(exp(x))+25*x^2+50*x+25))+((2*x^2+2*x)*exp(x)+2*x)*exp(exp(x))-10*x)*exp(x*ln(64*ln((x^2+2*x+1)*exp(exp(x))^2+(-10*x^2-20*x-10)*exp(exp(x))+25*x^2+50*x+25)))/((x+1)*exp(exp(x))-5*x-5)/ln((x^2+2*x+1)*exp(exp(x))^2+(-10*x^2-20*x-10)*exp(exp(x))+25*x^2+50*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(128 \ln \left(x +1\right)+128 \ln \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)-32 i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right) \left(-\mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)+\mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)\right)\right)^{2}-32 i \pi  \,\mathrm{csgn}\left(i \left(x +1\right)^{2}\right) \left(-\mathrm{csgn}\left(i \left(x +1\right)^{2}\right)+\mathrm{csgn}\left(i \left(x +1\right)\right)\right)^{2}-32 i \pi  \,\mathrm{csgn}\left(i \left(x +1\right)^{2} \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right) \left(-\mathrm{csgn}\left(i \left(x +1\right)^{2} \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)+\mathrm{csgn}\left(i \left(x +1\right)^{2}\right)\right) \left(-\mathrm{csgn}\left(i \left(x +1\right)^{2} \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)+\mathrm{csgn}\left(i \left({\mathrm e}^{{\mathrm e}^{x}}-5\right)^{2}\right)\right)\right)^{x}$&$170$\\ \hline \end{longtable}"," ",0,"(128*ln(x+1)+128*ln(exp(exp(x))-5)-32*I*Pi*csgn(I*(exp(exp(x))-5)^2)*(-csgn(I*(exp(exp(x))-5)^2)+csgn(I*(exp(exp(x))-5)))^2-32*I*Pi*csgn(I*(x+1)^2)*(-csgn(I*(x+1)^2)+csgn(I*(x+1)))^2-32*I*Pi*csgn(I*(x+1)^2*(exp(exp(x))-5)^2)*(-csgn(I*(x+1)^2*(exp(exp(x))-5)^2)+csgn(I*(x+1)^2))*(-csgn(I*(x+1)^2*(exp(exp(x))-5)^2)+csgn(I*(exp(exp(x))-5)^2)))^x","C"
7392,1,21,20,0.046000," ","int(4*(-x-1)*ln(2)^2*ln(ln(2))^2/x^2/exp(3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)^{2} {\mathrm e}^{-3-x}}{x}$&$21$\\ derivativedivides&$\frac{4 \ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)^{2} {\mathrm e}^{-3-x}}{x}$&$21$\\ default&$\frac{4 \ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)^{2} {\mathrm e}^{-3-x}}{x}$&$21$\\ norman&$\frac{4 \ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)^{2} {\mathrm e}^{-3-x}}{x}$&$21$\\ risch&$\frac{4 \ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)^{2} {\mathrm e}^{-3-x}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"4*ln(ln(2))^2*ln(2)^2/x/exp(3+x)","A"
7393,1,17,18,0.061000," ","int(20*exp(5*x-25)*ln(-2*exp(5*x-25)+7)/((2*exp(5*x-25)-7)*ln(-2*exp(5*x-25)+7)^2-18*exp(5*x-25)+63),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\ln \left(-2 \,{\mathrm e}^{5 x -25}+7\right)^{2}-9\right)$&$17$\\ default&$\ln \left(\ln \left(-2 \,{\mathrm e}^{5 x -25}+7\right)^{2}-9\right)$&$17$\\ risch&$\ln \left(\ln \left(-2 \,{\mathrm e}^{5 x -25}+7\right)^{2}-9\right)$&$17$\\ norman&$\ln \left(\ln \left(-2 \,{\mathrm e}^{5 x -25}+7\right)-3\right)+\ln \left(\ln \left(-2 \,{\mathrm e}^{5 x -25}+7\right)+3\right)$&$30$\\ \hline \end{longtable}"," ",0,"ln(ln(-2*exp(5*x-25)+7)^2-9)","A"
7394,1,7,7,0.011000," ","int((1-x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-x$&$7$\\ norman&$\ln \left(x \right)-x$&$7$\\ risch&$\ln \left(x \right)-x$&$7$\\ \hline \end{longtable}"," ",0,"ln(x)-x","A"
7395,1,300,23,0.493000," ","int(((-9*ln(3*x)^3*exp(-1/3*exp(1/3*x*exp(3)))-9*x*ln(3*x))*ln((ln(3*x)^2*exp(-1/3*exp(1/3*x*exp(3)))+x)/ln(3*x)^2)-x*exp(3)*exp(1/3*x*exp(3))*ln(3*x)^3*exp(-1/3*exp(1/3*x*exp(3)))+9*x*ln(3*x)-18*x)/(9*x^2*ln(3*x)^3*exp(-1/3*exp(1/3*x*exp(3)))+9*x^3*ln(3*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(3 x \right)^{2} {\mathrm e}^{-\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}}{3}}}{3}}+x \right)}{x}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(3 x \right)^{2} {\mathrm e}^{-\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}}{3}}}{3}}+x \right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(3 x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3 x \right)^{2} {\mathrm e}^{-\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}}{3}}}{3}}+x \right)}{\ln \left(3 x \right)^{2}}\right)-i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(3 x \right)^{2} {\mathrm e}^{-\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}}{3}}}{3}}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3 x \right)^{2} {\mathrm e}^{-\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}}{3}}}{3}}+x \right)}{\ln \left(3 x \right)^{2}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(3 x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(3 x \right)^{2} {\mathrm e}^{-\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}}{3}}}{3}}+x \right)}{\ln \left(3 x \right)^{2}}\right)^{2}-i \pi  \mathrm{csgn}\left(i \ln \left(3 x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(3 x \right)^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i \ln \left(3 x \right)\right) \mathrm{csgn}\left(i \ln \left(3 x \right)^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i \ln \left(3 x \right)^{2}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(3 x \right)^{2} {\mathrm e}^{-\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{3}}{3}}}{3}}+x \right)}{\ln \left(3 x \right)^{2}}\right)^{3}+4 \ln \left(\ln \left(3 x \right)\right)}{2 x}$&$300$\\ \hline \end{longtable}"," ",0,"1/x*ln(ln(3*x)^2*exp(-1/3*exp(1/3*x*exp(3)))+x)-1/2*(I*Pi*csgn(I*(ln(3*x)^2*exp(-1/3*exp(1/3*x*exp(3)))+x))*csgn(I/ln(3*x)^2)*csgn(I/ln(3*x)^2*(ln(3*x)^2*exp(-1/3*exp(1/3*x*exp(3)))+x))-I*Pi*csgn(I*(ln(3*x)^2*exp(-1/3*exp(1/3*x*exp(3)))+x))*csgn(I/ln(3*x)^2*(ln(3*x)^2*exp(-1/3*exp(1/3*x*exp(3)))+x))^2-I*Pi*csgn(I/ln(3*x)^2)*csgn(I/ln(3*x)^2*(ln(3*x)^2*exp(-1/3*exp(1/3*x*exp(3)))+x))^2-I*Pi*csgn(I*ln(3*x))^2*csgn(I*ln(3*x)^2)+2*I*Pi*csgn(I*ln(3*x))*csgn(I*ln(3*x)^2)^2-I*Pi*csgn(I*ln(3*x)^2)^3+I*Pi*csgn(I/ln(3*x)^2*(ln(3*x)^2*exp(-1/3*exp(1/3*x*exp(3)))+x))^3+4*ln(ln(3*x)))/x","C"
7396,1,55,30,0.039000," ","int((((2*x^3-34*x^2+144*x)*exp(x)^2-exp(15)^2)*ln(x)^3+(-8*x^2+64*x)*exp(x)*ln(x)^2+(8*x-72)*exp(x)*ln(x)-32)/x/exp(15)^2/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{-30+2 x}-\ln \left(x \right)-18 x \,{\mathrm e}^{-30+2 x}+81 \,{\mathrm e}^{-30+2 x}-\frac{8 \,{\mathrm e}^{-30} \left(x \,{\mathrm e}^{x} \ln \left(x \right)-9 \,{\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)^{2}}$&$55$\\ default&${\mathrm e}^{-30} \left(\frac{-8 \,{\mathrm e}^{x} x +72 \,{\mathrm e}^{x}}{\ln \left(x \right)}+{\mathrm e}^{2 x} x^{2}-18 x \,{\mathrm e}^{2 x}+81 \,{\mathrm e}^{2 x}+\frac{16}{\ln \left(x \right)^{2}}-{\mathrm e}^{30} \ln \left(x \right)\right)$&$57$\\ \hline \end{longtable}"," ",0,"x^2*exp(-30+2*x)-ln(x)-18*x*exp(-30+2*x)+81*exp(-30+2*x)-8*exp(-30)*(x*exp(x)*ln(x)-9*exp(x)*ln(x)-2)/ln(x)^2","A"
7397,1,22,23,0.093000," ","int(((5*x*exp(4)-5*x^3+15)*ln(-x*exp(4)+x^3-3)+(15*x*exp(4)-15*x^3+45)*exp(x-5)+5*x*exp(4)-15*x^3)/(x*exp(4)-x^3+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$15 \,{\mathrm e}^{x -5}+5 x \ln \left(-x \,{\mathrm e}^{4}+x^{3}-3\right)$&$22$\\ norman&$15 \,{\mathrm e}^{x -5}+5 x \ln \left(-x \,{\mathrm e}^{4}+x^{3}-3\right)$&$22$\\ risch&$15 \,{\mathrm e}^{x -5}+5 x \ln \left(-x \,{\mathrm e}^{4}+x^{3}-3\right)$&$22$\\ \hline \end{longtable}"," ",0,"15*exp(x-5)+5*x*ln(-x*exp(4)+x^3-3)","A"
7398,1,12,16,0.013000," ","int(1/2*(-125*ln(x)+125*x^2+125)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{125 \ln \left(x \right)}{2 x}+\frac{125 x}{2}$&$12$\\ risch&$\frac{125 \ln \left(x \right)}{2 x}+\frac{125 x}{2}$&$12$\\ norman&$\frac{\frac{125 x^{2}}{2}+\frac{125 \ln \left(x \right)}{2}}{x}$&$15$\\ \hline \end{longtable}"," ",0,"125/2*ln(x)/x+125/2*x","A"
7399,1,7,15,0.011000," ","int((-3*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-3 x$&$7$\\ norman&$\ln \left(x \right)-3 x$&$7$\\ risch&$\ln \left(x \right)-3 x$&$7$\\ \hline \end{longtable}"," ",0,"ln(x)-3*x","A"
7400,1,15,17,0.200000," ","int((exp(1/5)*ln(-x)-2*exp(1/5)-6)/(4*exp(1/5)^3*ln(-x)^3-72*exp(1/5)^2*ln(-x)^2+432*exp(1/5)*ln(-x)-864),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{4 \left({\mathrm e}^{\frac{1}{5}} \ln \left(-x \right)-6\right)^{2}}$&$15$\\ risch&$\frac{x}{4 \left({\mathrm e}^{\frac{1}{5}} \ln \left(-x \right)-6\right)^{2}}$&$15$\\ derivativedivides&$\frac{x}{4 \,{\mathrm e}^{\frac{2}{5}} \ln \left(-x \right)^{2}-48 \,{\mathrm e}^{\frac{1}{5}} \ln \left(-x \right)+144}$&$27$\\ default&$\frac{x}{4 \,{\mathrm e}^{\frac{2}{5}} \ln \left(-x \right)^{2}-48 \,{\mathrm e}^{\frac{1}{5}} \ln \left(-x \right)+144}$&$27$\\ \hline \end{longtable}"," ",0,"1/4*x/(exp(1/5)*ln(-x)-6)^2","A"
7401,1,19,28,0.029000," ","int((8*x^6+x^5-29*x^3+4*x^2+32)/(8*x^7-32*x^4+32*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{x^{2}}{8}-\frac{1}{8}}{x^{3}-2}+\ln \left(x \right)$&$19$\\ risch&$\frac{-\frac{x^{2}}{8}-\frac{1}{8}}{x^{3}-2}+\ln \left(x \right)$&$19$\\ default&$\ln \left(x \right)+\frac{-x^{2}-1}{8 x^{3}-16}$&$20$\\ \hline \end{longtable}"," ",0,"(-1/8*x^2-1/8)/(x^3-2)+ln(x)","A"
7402,0,0,32,180.000000," ","int((((2*x^7-22*x^6+99*x^5-214*x^4+168*x^3+16*x^2-80*x+32)*exp(3)^4+(12*x^4-88*x^3+64*x^2)*exp(3)^3+(2*x^4-16*x^3-32*x^2+16*x)*exp(3)^2+(-12*x^2-8*x)*exp(3)-4*x)*exp(((x^6-10*x^5+33*x^4-40*x^3+16*x^2)*exp(3)^4+(-4*x^4+20*x^3-16*x^2)*exp(3)^3+(-2*x^3+14*x^2-8*x)*exp(3)^2+4*x*exp(3)+1)/(x^4-8*x^3+24*x^2-32*x+16)/exp(3)^4)+(-x^7+10*x^6-44*x^5+120*x^4-240*x^3+352*x^2-320*x+128)*exp(3)^4)/(x^7-10*x^6+40*x^5-80*x^4+80*x^3-32*x^2)/exp(3)^4,x)","\[\int \frac{\left(\left(\left(2 x^{7}-22 x^{6}+99 x^{5}-214 x^{4}+168 x^{3}+16 x^{2}-80 x +32\right) {\mathrm e}^{12}+\left(12 x^{4}-88 x^{3}+64 x^{2}\right) {\mathrm e}^{9}+\left(2 x^{4}-16 x^{3}-32 x^{2}+16 x \right) {\mathrm e}^{6}+\left(-12 x^{2}-8 x \right) {\mathrm e}^{3}-4 x \right) {\mathrm e}^{\frac{\left(\left(x^{6}-10 x^{5}+33 x^{4}-40 x^{3}+16 x^{2}\right) {\mathrm e}^{12}+\left(-4 x^{4}+20 x^{3}-16 x^{2}\right) {\mathrm e}^{9}+\left(-2 x^{3}+14 x^{2}-8 x \right) {\mathrm e}^{6}+4 x \,{\mathrm e}^{3}+1\right) {\mathrm e}^{-12}}{x^{4}-8 x^{3}+24 x^{2}-32 x +16}}+\left(-x^{7}+10 x^{6}-44 x^{5}+120 x^{4}-240 x^{3}+352 x^{2}-320 x +128\right) {\mathrm e}^{12}\right) {\mathrm e}^{-12}}{x^{7}-10 x^{6}+40 x^{5}-80 x^{4}+80 x^{3}-32 x^{2}}\, dx\]"," ",0,"int((((2*x^7-22*x^6+99*x^5-214*x^4+168*x^3+16*x^2-80*x+32)*exp(3)^4+(12*x^4-88*x^3+64*x^2)*exp(3)^3+(2*x^4-16*x^3-32*x^2+16*x)*exp(3)^2+(-12*x^2-8*x)*exp(3)-4*x)*exp(((x^6-10*x^5+33*x^4-40*x^3+16*x^2)*exp(3)^4+(-4*x^4+20*x^3-16*x^2)*exp(3)^3+(-2*x^3+14*x^2-8*x)*exp(3)^2+4*x*exp(3)+1)/(x^4-8*x^3+24*x^2-32*x+16)/exp(3)^4)+(-x^7+10*x^6-44*x^5+120*x^4-240*x^3+352*x^2-320*x+128)*exp(3)^4)/(x^7-10*x^6+40*x^5-80*x^4+80*x^3-32*x^2)/exp(3)^4,x)","F"
7403,1,57,28,0.027000," ","int(((-80*x^3-5)*ln(x)^2+(48*x^8+24*x^5+100*x^4+240*x^3+3*x^2+10*x+15)*ln(x)-256*x^8+64*x^7-128*x^5+12*x^4-60*x^3-16*x^2-x-15)/((16*x^8+8*x^5+x^2)*ln(x)^2+(-32*x^9-96*x^8-16*x^6-48*x^5-2*x^3-6*x^2)*ln(x)+16*x^10+96*x^9+144*x^8+8*x^7+48*x^6+72*x^5+x^4+6*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{\left(4 x^{3}+1\right) x}-\frac{12 x^{5}-16 x^{4}+3 x^{2}+x +15}{\left(4 x^{3}+1\right) x \left(-\ln \left(x \right)+3+x \right)}$&$57$\\ \hline \end{longtable}"," ",0,"5/(4*x^3+1)/x-(12*x^5-16*x^4+3*x^2+x+15)/(4*x^3+1)/x/(-ln(x)+3+x)","A"
7404,1,16,16,0.016000," ","int(1/5*(-5*exp(x)*x^2-10*x^3-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+\frac{1}{5 x}-{\mathrm e}^{x}$&$16$\\ risch&$-x^{2}+\frac{1}{5 x}-{\mathrm e}^{x}$&$16$\\ norman&$\frac{\frac{1}{5}-x^{3}-{\mathrm e}^{x} x}{x}$&$17$\\ \hline \end{longtable}"," ",0,"-x^2+1/5/x-exp(x)","A"
7405,1,12,11,0.155000," ","int(((4*x-3)*ln(4/3*x-1)-4*x)/(4*x^3-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(\frac{4 x}{3}-1\right)}{x}$&$12$\\ risch&$-\frac{\ln \left(\frac{4 x}{3}-1\right)}{x}$&$12$\\ derivativedivides&$-\frac{4 \ln \left(\frac{4 x}{3}-1\right)}{3}+\frac{\ln \left(\frac{4 x}{3}-1\right) \left(\frac{4 x}{3}-1\right)}{x}$&$25$\\ default&$-\frac{4 \ln \left(\frac{4 x}{3}-1\right)}{3}+\frac{\ln \left(\frac{4 x}{3}-1\right) \left(\frac{4 x}{3}-1\right)}{x}$&$25$\\ \hline \end{longtable}"," ",0,"-ln(4/3*x-1)/x","A"
7406,1,72,25,0.085000," ","int(((-32*ln(x)*ln(x/ln(x))+2*x*ln(x))*ln(16*ln(x/ln(x))-x)+(-2*x+32)*ln(x)-32)/((16*ln(x)*ln(x/ln(x))-x*ln(x))*ln(16*ln(x/ln(x))-x)^2+(32*x*ln(x)*ln(x/ln(x))-2*x^2*ln(x))*ln(16*ln(x/ln(x))-x)+16*x^2*ln(x)*ln(x/ln(x))-x^3*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x}{x +\ln \left(16 \ln \left(x \right)-16 \ln \left(\ln \left(x \right)\right)-8 i \pi  \,\mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right) \left(-\mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)+\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)\right)-x \right)}$&$72$\\ \hline \end{longtable}"," ",0,"-2*x/(x+ln(16*ln(x)-16*ln(ln(x))-8*I*Pi*csgn(I*x/ln(x))*(-csgn(I*x/ln(x))+csgn(I*x))*(-csgn(I*x/ln(x))+csgn(I/ln(x)))-x))","C"
7407,1,22,24,0.041000," ","int(((4*exp(3-x)+12)*ln(exp(3-x)+3)^4+16*x*exp(3-x)*ln(x)*ln(exp(3-x)+3)^3+(8*x*exp(3-x)+24*x)*ln(x)-8*x*exp(3-x)-24*x)*exp(4*ln(x)/(ln(exp(3-x)+3)^4-2*x))/((x*exp(3-x)+3*x)*ln(exp(3-x)+3)^8+(-4*x^2*exp(3-x)-12*x^2)*ln(exp(3-x)+3)^4+4*x^3*exp(3-x)+12*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\frac{4}{\ln \left({\mathrm e}^{3-x}+3\right)^{4}-2 x}}$&$22$\\ \hline \end{longtable}"," ",0,"x^(4/(ln(exp(3-x)+3)^4-2*x))","A"
7408,1,8,16,0.016000," ","int((-x-2)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\left(x +1\right) {\mathrm e}^{x}$&$8$\\ risch&$\left(-x -1\right) {\mathrm e}^{x}$&$9$\\ default&$-{\mathrm e}^{x} x -{\mathrm e}^{x}$&$11$\\ norman&$-{\mathrm e}^{x} x -{\mathrm e}^{x}$&$11$\\ meijerg&$1+\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}-2 \,{\mathrm e}^{x}$&$16$\\ \hline \end{longtable}"," ",0,"-(x+1)*exp(x)","A"
7409,1,11,20,0.030000," ","int(-8*x/(5*ln(3)^2+10*x^2*ln(3)+5*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4}{5 \left(\ln \left(3\right)+x^{2}\right)}$&$11$\\ default&$\frac{4}{5 \left(\ln \left(3\right)+x^{2}\right)}$&$11$\\ norman&$\frac{4}{5 \left(\ln \left(3\right)+x^{2}\right)}$&$11$\\ risch&$\frac{4}{5 \left(\ln \left(3\right)+x^{2}\right)}$&$11$\\ \hline \end{longtable}"," ",0,"4/5/(ln(3)+x^2)","A"
7410,1,19,21,0.079000," ","int(((-32*x+32)*ln(x^2)+4*x-8)*exp(ln(x^2)^2)^2*exp((1-x)*exp(ln(x^2)^2)^2/x^2)^4/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{4 \left(x -1\right) {\mathrm e}^{2 \ln \left(x^{2}\right)^{2}}}{x^{2}}}$&$19$\\ \hline \end{longtable}"," ",0,"exp(-4*(x-1)*exp(2*ln(x^2)^2)/x^2)","A"
7411,1,25,29,0.200000," ","int(((-2*x^3+3*x^2)*ln(x)+(-2*x^5+2*x^4-2*x^3+3*x^2)*exp(x^2)+3*x^4+x^3-8*x^2)*exp((-x^3*ln(x)-x^3*exp(x^2)+x^4+3*x^3)/(3*x-3))/(15*x^2-30*x+15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{x^{3} \left(\ln \left(x \right)+{\mathrm e}^{x^{2}}-x -3\right)}{3 \left(x -1\right)}}}{5}$&$25$\\ \hline \end{longtable}"," ",0,"1/5*exp(-1/3*x^3*(ln(x)+exp(x^2)-x-3)/(x-1))","A"
7412,1,136,25,0.224000," ","int(((((x^4+4*x^3+5*x^2)*ln(x^2+4*x+5)+x^5+4*x^4+5*x^3)*ln(ln(x^2+4*x+5)+x)+(-3*x^3-12*x^2-15*x)*ln(x^2+4*x+5)-3*x^4-12*x^3-15*x^2)*ln((x*ln(ln(x^2+4*x+5)+x)-3)/x)*ln(ln((x*ln(ln(x^2+4*x+5)+x)-3)/x))+(-3*x^3-21*x^2-51*x-45)*ln(x^2+4*x+5)-x^5-12*x^4-48*x^3-78*x^2-45*x)/(((x^4+4*x^3+5*x^2)*ln(x^2+4*x+5)+x^5+4*x^4+5*x^3)*ln(ln(x^2+4*x+5)+x)+(-3*x^3-12*x^2-15*x)*ln(x^2+4*x+5)-3*x^4-12*x^3-15*x^2)/ln((x*ln(ln(x^2+4*x+5)+x)-3)/x)/ln(ln((x*ln(ln(x^2+4*x+5)+x)-3)/x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3+x}{\ln \left(-\ln \left(x \right)+\ln \left(x \ln \left(\ln \left(x^{2}+4 x +5\right)+x \right)-3\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(x \ln \left(\ln \left(x^{2}+4 x +5\right)+x \right)-3\right)}{x}\right) \left(-\mathrm{csgn}\left(\frac{i \left(x \ln \left(\ln \left(x^{2}+4 x +5\right)+x \right)-3\right)}{x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(x \ln \left(\ln \left(x^{2}+4 x +5\right)+x \right)-3\right)}{x}\right)+\mathrm{csgn}\left(i \left(x \ln \left(\ln \left(x^{2}+4 x +5\right)+x \right)-3\right)\right)\right)}{2}\right)}$&$136$\\ \hline \end{longtable}"," ",0,"(3+x)/ln(-ln(x)+ln(x*ln(ln(x^2+4*x+5)+x)-3)-1/2*I*Pi*csgn(I/x*(x*ln(ln(x^2+4*x+5)+x)-3))*(-csgn(I/x*(x*ln(ln(x^2+4*x+5)+x)-3))+csgn(I/x))*(-csgn(I/x*(x*ln(ln(x^2+4*x+5)+x)-3))+csgn(I*(x*ln(ln(x^2+4*x+5)+x)-3))))","C"
7413,1,29,27,0.229000," ","int(((x^3-5*x^2+6*x)*ln((15-5*x)/(3*x-6)/exp((x^2-4)/x))-x^4+5*x^3-9*x^2+20*x-24)/(x^3-5*x^2+6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(\frac{\left(15-5 x \right) {\mathrm e}^{-\frac{x^{2}-4}{x}}}{3 x -6}\right)$&$29$\\ norman&$x \ln \left(\frac{\left(15-5 x \right) {\mathrm e}^{-\frac{x^{2}-4}{x}}}{3 x -6}\right)$&$29$\\ risch&$-x \ln \left({\mathrm e}^{\frac{\left(x -2\right) \left(2+x \right)}{x}}\right)-x \ln \left(x -2\right)+\ln \left(x -3\right) x +\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{x -2}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x -3\right)}{x -2}\right)^{3}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i \left(x -3\right)}{x -2}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-\frac{\left(x -2\right) \left(2+x \right)}{x}} \left(x -3\right)}{x -2}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{x -2}\right)}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{-\frac{\left(x -2\right) \left(2+x \right)}{x}} \left(x -3\right)}{x -2}\right)^{3}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{x -2}\right)^{2}}{2}-i \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{-\frac{\left(x -2\right) \left(2+x \right)}{x}} \left(x -3\right)}{x -2}\right)^{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{-\frac{\left(x -2\right) \left(2+x \right)}{x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-\frac{\left(x -2\right) \left(2+x \right)}{x}} \left(x -3\right)}{x -2}\right)^{2}}{2}+i \pi  x -\frac{i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{-\frac{\left(x -2\right) \left(2+x \right)}{x}}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{x -2}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-\frac{\left(x -2\right) \left(2+x \right)}{x}} \left(x -3\right)}{x -2}\right)}{2}+x \ln \left(5\right)-x \ln \left(3\right)$&$359$\\ \hline \end{longtable}"," ",0,"x*ln((15-5*x)/(3*x-6)/exp((x^2-4)/x))","A"
7414,1,34,27,0.158000," ","int((((-18*x-48)*exp(x)-240*x-640)*ln(15/(3*exp(x)+40))+(-6*x^2-24*x)*exp(x))*exp((ln(15/(3*exp(x)+40))+x^3+4*x^2)/(x^3+4*x^2))^2/((3*x^5+24*x^4+48*x^3)*exp(x)+40*x^5+320*x^4+640*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{x}+\frac{40}{3}\right)^{-\frac{2}{x^{2} \left(4+x \right)}} 5^{\frac{2}{x^{2} \left(4+x \right)}} {\mathrm e}^{2}$&$34$\\ \hline \end{longtable}"," ",0,"((exp(x)+40/3)^(-1/x^2/(4+x)))^2*(5^(1/x^2/(4+x)))^2*exp(2)","A"
7415,1,35,29,0.255000," ","int(((x^7+12*x^5+2*x^4+36*x^3+16*x^2+48)*exp((x^5+6*x^3-x^2-4)/(x^4+6*x^2)/exp(exp(2)))+(x^7+12*x^5+36*x^3)*exp(exp(2)))/(x^7+12*x^5+36*x^3)/exp(exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{\left(x^{5}+6 x^{3}-x^{2}-4\right) {\mathrm e}^{-{\mathrm e}^{2}}}{x^{2} \left(x^{2}+6\right)}}$&$35$\\ norman&$\frac{x^{5}+x^{4} {\mathrm e}^{\frac{\left(x^{5}+6 x^{3}-x^{2}-4\right) {\mathrm e}^{-{\mathrm e}^{2}}}{x^{4}+6 x^{2}}}+6 x^{3}+6 x^{2} {\mathrm e}^{\frac{\left(x^{5}+6 x^{3}-x^{2}-4\right) {\mathrm e}^{-{\mathrm e}^{2}}}{x^{4}+6 x^{2}}}}{x^{2} \left(x^{2}+6\right)}$&$96$\\ \hline \end{longtable}"," ",0,"x+exp((x^5+6*x^3-x^2-4)*exp(-exp(2))/x^2/(x^2+6))","A"
7416,1,28,21,0.523000," ","int((exp(4)*exp((-ln(4*exp(5)*exp(x))+exp(4))/ln(4*exp(5)*exp(x)))-36*ln(4*exp(5)*exp(x))^2)/ln(4*exp(5)*exp(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-36 \ln \left(4 \,{\mathrm e}^{5} {\mathrm e}^{x}\right)-{\mathrm e}^{\frac{{\mathrm e}^{4}}{\ln \left(4 \,{\mathrm e}^{5} {\mathrm e}^{x}\right)}-1}$&$28$\\ default&$-36 \ln \left(4 \,{\mathrm e}^{5} {\mathrm e}^{x}\right)-{\mathrm e}^{\frac{{\mathrm e}^{4}}{\ln \left(4 \,{\mathrm e}^{5} {\mathrm e}^{x}\right)}-1}$&$28$\\ risch&$-36 x -{\mathrm e}^{\frac{-2 \ln \left(2\right)-5-\ln \left({\mathrm e}^{x}\right)+{\mathrm e}^{4}}{2 \ln \left(2\right)+5+\ln \left({\mathrm e}^{x}\right)}}$&$33$\\ norman&$\frac{-36 \ln \left(4 \,{\mathrm e}^{5} {\mathrm e}^{x}\right)^{2}-\ln \left(4 \,{\mathrm e}^{5} {\mathrm e}^{x}\right) {\mathrm e}^{\frac{-\ln \left(4 \,{\mathrm e}^{5} {\mathrm e}^{x}\right)+{\mathrm e}^{4}}{\ln \left(4 \,{\mathrm e}^{5} {\mathrm e}^{x}\right)}}}{\ln \left(4 \,{\mathrm e}^{5} {\mathrm e}^{x}\right)}$&$55$\\ \hline \end{longtable}"," ",0,"-36*ln(4*exp(5)*exp(x))-exp(exp(4)/ln(4*exp(5)*exp(x))-1)","A"
7417,1,24,18,0.113000," ","int(((50*x^4+1250*x^3-1250*x-50)*exp((25*x^4+1250*x^3+15675*x^2+1250*x+25)/x^2)*ln(x)^2-4*x^2)/x^3/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{\ln \left(x \right)}+{\mathrm e}^{\frac{25 \left(x^{2}+25 x +1\right)^{2}}{x^{2}}}$&$24$\\ default&$\frac{4}{\ln \left(x \right)}+{\mathrm e}^{\frac{25 x^{4}+1250 x^{3}+15675 x^{2}+1250 x +25}{x^{2}}}$&$33$\\ \hline \end{longtable}"," ",0,"4/ln(x)+exp(25*(x^2+25*x+1)^2/x^2)","A"
7418,1,22,22,0.077000," ","int(((50*x-1)*exp(2+x)^2+(-100*x^2+3*x-1)*exp(2+x)+50*x^3-x^2)/(exp(2+x)^2-2*x*exp(2+x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x^{2}-x +\frac{x}{x -{\mathrm e}^{2+x}}$&$22$\\ norman&$\frac{x \,{\mathrm e}^{2+x}+{\mathrm e}^{2+x}-x^{2}+25 x^{3}-25 x^{2} {\mathrm e}^{2+x}}{x -{\mathrm e}^{2+x}}$&$42$\\ \hline \end{longtable}"," ",0,"25*x^2-x+x/(x-exp(2+x))","A"
7419,1,83,21,0.095000," ","int(((-48*x+48)*ln(x)+(12*x-12)*ln(2/(x^2-2*x+1))+264*x-240)/((16*x-16)*ln(x)^2+((-8*x+8)*ln(2/(x^2-2*x+1))-128*x+128)*ln(x)+(x-1)*ln(2/(x^2-2*x+1))^2+(32*x-32)*ln(2/(x^2-2*x+1))+256*x-256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{24 i x}{-\pi  \mathrm{csgn}\left(i \left(x -1\right)\right)^{2} \mathrm{csgn}\left(i \left(x -1\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i \left(x -1\right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x -1\right)^{2}\right)^{3}+2 i \ln \left(2\right)-8 i \ln \left(x \right)-4 i \ln \left(x -1\right)+32 i}$&$83$\\ \hline \end{longtable}"," ",0,"24*I*x/(-Pi*csgn(I*(x-1))^2*csgn(I*(x-1)^2)+2*Pi*csgn(I*(x-1))*csgn(I*(x-1)^2)^2-Pi*csgn(I*(x-1)^2)^3+2*I*ln(2)-8*I*ln(x)-4*I*ln(x-1)+32*I)","C"
7420,1,48,20,0.190000," ","int((64*x*ln(x)^2+64*x*ln(x))*ln((-10*ln(2)+25)*exp(16*x^2*ln(x)^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$256 x^{4} \ln \left(x \right)^{4}+32 \left(\ln \left(\left(-10 \ln \left(2\right)+25\right) {\mathrm e}^{16 x^{2} \ln \left(x \right)^{2}}\right)-16 x^{2} \ln \left(x \right)^{2}\right) \ln \left(x \right)^{2} x^{2}$&$48$\\ risch&$32 x^{2} \ln \left(x \right)^{2} \ln \left({\mathrm e}^{16 x^{2} \ln \left(x \right)^{2}}\right)-256 x^{4} \ln \left(x \right)^{4}+32 \ln \left(5\right) x^{2} \ln \left(x \right)^{2}+32 \ln \left(-2 \ln \left(2\right)+5\right) x^{2} \ln \left(x \right)^{2}$&$58$\\ \hline \end{longtable}"," ",0,"256*x^4*ln(x)^4+32*(ln((-10*ln(2)+25)*exp(16*x^2*ln(x)^2))-16*x^2*ln(x)^2)*ln(x)^2*x^2","B"
7421,1,28,32,0.393000," ","int((((2*(-2*x^3-6*x^2-8*x)*ln(2)-4*x^3-12*x^2-16*x)*exp(x)+2*(4*x^3+10*x^2-8*x-8)*ln(2)+8*x^3+20*x^2-16*x-16)*exp(((-2*x^2*ln(2)-2*x^2)*exp(x)+2*(x^3-x^2-2*x)*ln(2)+2*x^3-2*x^2-4*x)/(2+x))^2+x^2+4*x+4)/(x^2+4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{4 x \left(1+\ln \left(2\right)\right) \left({\mathrm e}^{x} x -x^{2}+x +2\right)}{2+x}}+x$&$28$\\ norman&$\frac{x^{2}+x \,{\mathrm e}^{\frac{2 \left(-2 x^{2} \ln \left(2\right)-2 x^{2}\right) {\mathrm e}^{x}+2 \left(2 x^{3}-2 x^{2}-4 x \right) \ln \left(2\right)+4 x^{3}-4 x^{2}-8 x}{2+x}}+2 \,{\mathrm e}^{\frac{2 \left(-2 x^{2} \ln \left(2\right)-2 x^{2}\right) {\mathrm e}^{x}+2 \left(2 x^{3}-2 x^{2}-4 x \right) \ln \left(2\right)+4 x^{3}-4 x^{2}-8 x}{2+x}}-4}{2+x}$&$126$\\ \hline \end{longtable}"," ",0,"exp(-4*x*(1+ln(2))*(exp(x)*x-x^2+x+2)/(2+x))+x","A"
7422,1,22,21,0.024000," ","int((-96*x*ln(x*ln(2)^2)-96*x+72)*exp(12/(20*x-15)/ln(x*ln(2)^2))/(80*x^3-120*x^2+45*x)/ln(x*ln(2)^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{\frac{12}{5 \left(4 x -3\right) \ln \left(x \ln \left(2\right)^{2}\right)}}$&$22$\\ \hline \end{longtable}"," ",0,"2*exp(12/5/(4*x-3)/ln(x*ln(2)^2))","A"
7423,1,29,26,0.031000," ","int(((-2*x^2+1)*ln(2)-6*x^6+50*x^5-100*x^4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{6}+10 x^{5}-25 x^{4}-x^{2} \ln \left(2\right)+\ln \left(2\right) \ln \left(x \right)$&$29$\\ norman&$-x^{6}+10 x^{5}-25 x^{4}-x^{2} \ln \left(2\right)+\ln \left(2\right) \ln \left(x \right)$&$29$\\ risch&$-x^{6}+10 x^{5}-25 x^{4}-x^{2} \ln \left(2\right)+\ln \left(2\right) \ln \left(x \right)$&$29$\\ \hline \end{longtable}"," ",0,"-x^6+10*x^5-25*x^4-x^2*ln(2)+ln(2)*ln(x)","A"
7424,1,17,18,0.089000," ","int(((-30*x^3+25*x-25)*exp(-2/5*x^3+x-7/5)+25)/(6*exp(-2/5*x^3+x-7/5)^2-12*exp(-2/5*x^3+x-7/5)+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{25 x}{6 \left({\mathrm e}^{-\frac{2}{5} x^{3}+x -\frac{7}{5}}-1\right)}$&$17$\\ risch&$-\frac{25 x}{6 \left({\mathrm e}^{-\frac{2}{5} x^{3}+x -\frac{7}{5}}-1\right)}$&$17$\\ \hline \end{longtable}"," ",0,"-25/6*x/(exp(-2/5*x^3+x-7/5)-1)","A"
7425,1,31,27,0.085000," ","int(((-x^8-4*x^7-13*x^6-28*x^5-44*x^4-74*x^3-80*x^2-32*x)*exp(3/(x^2+4))*exp(x)-3*x^4-24*x^2-48)/(x^6+2*x^5+9*x^4+16*x^3+24*x^2+32*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{x +1}-x^{2} {\mathrm e}^{\frac{x^{3}+4 x +3}{x^{2}+4}}$&$31$\\ \hline \end{longtable}"," ",0,"3/(x+1)-x^2*exp((x^3+4*x+3)/(x^2+4))","A"
7426,1,51,23,0.074000," ","int(((2*x+10)*ln(3)-6*x-29)*exp(((ln(3)-3)*ln(12*x)+(x^2+10*x+25)*ln(3)-3*x^2-29*x-75)/(ln(3)-3))/(x*ln(3)-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{\frac{x^{2} \ln \left(3\right)+\ln \left(12 x \right) \ln \left(3\right)+10 x \ln \left(3\right)-3 x^{2}+25 \ln \left(3\right)-3 \ln \left(12 x \right)-29 x -75}{\ln \left(3\right)-3}}}{x}$&$51$\\ risch&$\frac{{\mathrm e}^{\frac{x^{2} \ln \left(3\right)+\ln \left(12 x \right) \ln \left(3\right)+10 x \ln \left(3\right)-3 x^{2}+25 \ln \left(3\right)-3 \ln \left(12 x \right)-29 x -75}{\ln \left(3\right)-3}}}{x}$&$51$\\ \hline \end{longtable}"," ",0,"exp((x^2*ln(3)+ln(12*x)*ln(3)+10*x*ln(3)-3*x^2+25*ln(3)-3*ln(12*x)-29*x-75)/(ln(3)-3))/x","B"
7427,1,31,25,0.028000," ","int((exp(3)*exp(4)*ln(3)*exp(x)+(2*x*exp(3)+6*x^2-6*x)*exp(4))/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e} \,{\mathrm e}^{3}+2 x^{3} {\mathrm e}-3 x^{2} {\mathrm e}+\ln \left(3\right) {\mathrm e}^{4+x}$&$31$\\ norman&${\mathrm e}^{4} \ln \left(3\right) {\mathrm e}^{x}+{\mathrm e}^{4} \left({\mathrm e}^{3}-3\right) {\mathrm e}^{-3} x^{2}+2 \,{\mathrm e}^{-3} {\mathrm e}^{4} x^{3}$&$34$\\ default&${\mathrm e}^{-3} \left({\mathrm e}^{4} \left(x^{2} {\mathrm e}^{3}+2 x^{3}-3 x^{2}\right)+{\mathrm e}^{3} {\mathrm e}^{4} \ln \left(3\right) {\mathrm e}^{x}\right)$&$36$\\ \hline \end{longtable}"," ",0,"x^2*exp(1)*exp(3)+2*x^3*exp(1)-3*x^2*exp(1)+ln(3)*exp(4+x)","A"
7428,1,42,33,0.646000," ","int((((2*x*exp(3)+18*x)*exp(3*x)+2*x^2*exp(3)-4*x*exp(1)+18*x^2-16*x)*ln(((exp(3)+9)*exp(3*x)+x*exp(3)-2*exp(1)+9*x-8)/(2*x*exp(3)+18*x))^2+(((6*x^2-2*x)*exp(3)+54*x^2-18*x)*exp(3*x)+4*x*exp(1)+16*x)*ln(((exp(3)+9)*exp(3*x)+x*exp(3)-2*exp(1)+9*x-8)/(2*x*exp(3)+18*x)))/((exp(3)+9)*exp(3*x)+x*exp(3)-2*exp(1)+9*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2} \ln \left(\frac{\left({\mathrm e}^{3}+9\right) {\mathrm e}^{3 x}+x \,{\mathrm e}^{3}-2 \,{\mathrm e}+9 x -8}{2 x \,{\mathrm e}^{3}+18 x}\right)^{2}$&$42$\\ risch&$\text{Expression too large to display}$&$2142$\\ \hline \end{longtable}"," ",0,"x^2*ln(((exp(3)+9)*exp(3*x)+x*exp(3)-2*exp(1)+9*x-8)/(2*x*exp(3)+18*x))^2","A"
7429,1,38,27,0.086000," ","int(((x^4*exp(1)^2-2)*exp(exp(5)-1)+1)/(2*x^4*exp(1)^2*exp(exp(5)-1)-x^4*exp(1)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{5}} {\mathrm e}^{-1} x^{4}}{2 \,{\mathrm e}^{{\mathrm e}^{5}} {\mathrm e}^{-1}-1}+\frac{{\mathrm e}^{-1}}{3}\right) {\mathrm e}^{-1}}{x^{3}}$&$38$\\ default&$\frac{{\mathrm e}^{-2} \left({\mathrm e}^{{\mathrm e}^{5}+1} x -\frac{-2 \,{\mathrm e}^{{\mathrm e}^{5}-1}+1}{3 x^{3}}\right)}{2 \,{\mathrm e}^{{\mathrm e}^{5}-1}-1}$&$39$\\ gosper&$\frac{\left(3 x^{4} {\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{5}-1}+2 \,{\mathrm e}^{{\mathrm e}^{5}-1}-1\right) {\mathrm e}^{-2}}{3 x^{3} \left(2 \,{\mathrm e}^{{\mathrm e}^{5}-1}-1\right)}$&$44$\\ risch&$\frac{x \,{\mathrm e}^{{\mathrm e}^{5}-1}}{2 \,{\mathrm e}^{{\mathrm e}^{5}-1}-1}+\frac{4 \,{\mathrm e}^{2 \,{\mathrm e}^{5}-4}}{3 \left(2 \,{\mathrm e}^{{\mathrm e}^{5}-1}-1\right)^{2} x^{3}}-\frac{4 \,{\mathrm e}^{{\mathrm e}^{5}-3}}{3 \left(2 \,{\mathrm e}^{{\mathrm e}^{5}-1}-1\right)^{2} x^{3}}+\frac{{\mathrm e}^{-2}}{3 \left(2 \,{\mathrm e}^{{\mathrm e}^{5}-1}-1\right)^{2} x^{3}}$&$82$\\ \hline \end{longtable}"," ",0,"(exp(1)/(2*exp(exp(5))*exp(-1)-1)*exp(exp(5))*exp(-1)*x^4+1/3/exp(1))/x^3/exp(1)","A"
7430,1,18,18,0.064000," ","int(((-30*x^2+50)*ln(x)-20*x^3+5*x^2+20*x-25)/(4*x^9-60*x^7+300*x^5-500*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x +\frac{5 \ln \left(x \right)}{4}}{\left(x^{2}-5\right)^{2} x^{2}}$&$18$\\ risch&$\frac{5 \ln \left(x \right)}{4 x^{2} \left(x^{4}-10 x^{2}+25\right)}+\frac{1}{x \left(x^{4}-10 x^{2}+25\right)}$&$37$\\ default&$\frac{1}{25 x}+\frac{\ln \left(x \right)}{50}-\frac{4 x^{3}+\frac{5}{2} x^{2}-40 x -\frac{25}{2}}{100 \left(x^{2}-5\right)^{2}}+\frac{1}{40 x^{2}-200}-\frac{\ln \left(x \right) x^{2} \left(x^{2}-10\right)}{100 \left(x^{2}-5\right)^{2}}+\frac{\ln \left(x \right)}{20 x^{2}}-\frac{\ln \left(x \right) x^{2}}{100 \left(x^{2}-5\right)}$&$84$\\ \hline \end{longtable}"," ",0,"(x+5/4*ln(x))/(x^2-5)^2/x^2","A"
7431,1,24,23,0.045000," ","int(1/625*((4*x^2-2)*exp(x^2)^2*ln(x)^3+(24*x^2-9)*exp(x^2)^2*ln(x)^2+(-60*x^2+42)*exp(x^2)^2*ln(x)+(-400*x^2+185)*exp(x^2)^2)*exp(1/625*(exp(x^2)^2*ln(x)^3+6*exp(x^2)^2*ln(x)^2-15*exp(x^2)^2*ln(x)-100*exp(x^2)^2)/x^2)*exp(exp(1/625*(exp(x^2)^2*ln(x)^3+6*exp(x^2)^2*ln(x)^2-15*exp(x^2)^2*ln(x)-100*exp(x^2)^2)/x^2))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{2 x^{2}} \left(\ln \left(x \right)-4\right) \left(5+\ln \left(x \right)\right)^{2}}{625 x^{2}}}}$&$24$\\ \hline \end{longtable}"," ",0,"exp(exp(1/625*exp(2*x^2)*(ln(x)-4)*(5+ln(x))^2/x^2))","A"
7432,1,26,25,0.078000," ","int((-400000000*x^3+1500000000*x^2-1250000000*x+1562500)*exp(1/(192*x^4-960*x^3+1200*x^2-3*x))^4/(12288*x^8-122880*x^7+460800*x^6-768384*x^5+481920*x^4-2400*x^3+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$390625 \,{\mathrm e}^{\frac{4}{3 x \left(64 x^{3}-320 x^{2}+400 x -1\right)}}$&$26$\\ gosper&$390625 \,{\mathrm e}^{\frac{4}{3 x \left(64 x^{3}-320 x^{2}+400 x -1\right)}}$&$28$\\ \hline \end{longtable}"," ",0,"390625*exp(4/3/x/(64*x^3-320*x^2+400*x-1))","A"
7433,1,12,19,0.033000," ","int((ln(5)*exp(-ln(2)+4*x)^2-2)/ln(5)/exp(-ln(2)+4*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{{\mathrm e}^{-8 x}}{\ln \left(5\right)}$&$12$\\ derivativedivides&$\frac{4 \,{\mathrm e}^{-8 x}+\ln \left(5\right) \ln \left({\mathrm e}^{-\ln \left(2\right)+4 x}\right)}{4 \ln \left(5\right)}$&$32$\\ norman&$4 \left(\frac{x \,{\mathrm e}^{8 x}}{4}+\frac{1}{4 \ln \left(5\right)}\right) {\mathrm e}^{-8 x}$&$33$\\ default&$\frac{{\mathrm e}^{-8 x}+\frac{\ln \left(5\right) \ln \left({\mathrm e}^{-\ln \left(2\right)+4 x}\right)}{4}}{\ln \left(5\right)}$&$34$\\ \hline \end{longtable}"," ",0,"x+exp(-8*x)/ln(5)","A"
7434,1,9,10,0.029000," ","int((2*exp(5)+1)*exp(x+2*x*exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{x +2 x \,{\mathrm e}^{5}}$&$9$\\ derivativedivides&${\mathrm e}^{x +2 x \,{\mathrm e}^{5}}$&$9$\\ default&${\mathrm e}^{x +2 x \,{\mathrm e}^{5}}$&$9$\\ norman&${\mathrm e}^{x +2 x \,{\mathrm e}^{5}}$&$9$\\ risch&${\mathrm e}^{x \left(2 \,{\mathrm e}^{5}+1\right)}$&$10$\\ meijerg&$\frac{2 \,{\mathrm e}^{5} \left(1-{\mathrm e}^{-x \left(-2 \,{\mathrm e}^{5}-1\right)}\right)}{-2 \,{\mathrm e}^{5}-1}+\frac{1-{\mathrm e}^{-x \left(-2 \,{\mathrm e}^{5}-1\right)}}{-2 \,{\mathrm e}^{5}-1}$&$51$\\ \hline \end{longtable}"," ",0,"exp(x+2*x*exp(5))","A"
7435,1,31,20,0.086000," ","int(((4*x^3+57*x^2+210*x+49)*ln(5)+4*x^3+49*x^2+294*x+980)/((x^3+14*x^2+49*x)*ln(5)+x^3+12*x^2+70*x+245),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x -\ln \left(x +7\right)+\ln \left(x^{2} \ln \left(5\right)+7 x \ln \left(5\right)+x^{2}+5 x +35\right)$&$31$\\ norman&$4 x -\ln \left(x +7\right)+\ln \left(x^{2} \ln \left(5\right)+7 x \ln \left(5\right)+x^{2}+5 x +35\right)$&$31$\\ risch&$4 x -\ln \left(x +7\right)+\ln \left(\left(-\ln \left(5\right)-1\right) x^{2}+\left(-7 \ln \left(5\right)-5\right) x -35\right)$&$32$\\ \hline \end{longtable}"," ",0,"4*x-ln(x+7)+ln(x^2*ln(5)+7*x*ln(5)+x^2+5*x+35)","A"
7436,1,25,27,0.041000," ","int((((2*x^3+x^2+2*x)*exp(4)^2*exp(x)+(-8*x^3-8*x)*exp(4)^2)*exp(x^2)*ln(x)^3-3*x^2*ln(x)+2*x^2)/exp(4)^2/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{x^{2}} \left({\mathrm e}^{x}-4\right)-\frac{x^{3} {\mathrm e}^{-8}}{\ln \left(x \right)^{2}}$&$25$\\ default&${\mathrm e}^{-8} \left({\mathrm e}^{8} x^{2} {\mathrm e}^{x^{2}+x}-\frac{x^{3}}{\ln \left(x \right)^{2}}-4 \,{\mathrm e}^{8} {\mathrm e}^{x^{2}} x^{2}\right)$&$43$\\ \hline \end{longtable}"," ",0,"x^2*exp(x^2)*(exp(x)-4)-x^3*exp(-8)/ln(x)^2","A"
7437,1,15,19,0.059000," ","int((-x*exp(1-x)+1)*exp(exp(1-x)+2*ln(5)+exp(4)^2+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x \,{\mathrm e}^{{\mathrm e}^{1-x}+6+{\mathrm e}^{8}}$&$15$\\ norman&$x \,{\mathrm e}^{{\mathrm e}^{1-x}+2 \ln \left(5\right)+{\mathrm e}^{8}+6}$&$20$\\ \hline \end{longtable}"," ",0,"25*x*exp(exp(1-x)+6+exp(8))","A"
7438,1,31,19,0.184000," ","int(1/3*((-4*exp(256)-40)*ln(x)*ln(ln(x)^2)+(2*x+8)*exp(256)+20*x+80)/x^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{4 \,{\mathrm e}^{256}}{3}+\frac{40}{3}\right) \ln \left(\ln \left(x \right)^{2}\right)+\left(\frac{10}{3}+\frac{{\mathrm e}^{256}}{3}\right) x \ln \left(\ln \left(x \right)^{2}\right)}{x}$&$31$\\ risch&$\frac{8 \left(10+{\mathrm e}^{256}\right) \ln \left(\ln \left(x \right)\right)}{3 x}+\frac{-\frac{2 i \pi  \,{\mathrm e}^{256} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)}{3}+\frac{4 i \pi  \,{\mathrm e}^{256} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}}{3}-\frac{2 i \pi  \,{\mathrm e}^{256} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}}{3}-\frac{20 i \pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)}{3}+\frac{40 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}}{3}-\frac{20 i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}}{3}+\frac{2 \ln \left(\ln \left(x \right)\right) {\mathrm e}^{256} x}{3}+\frac{20 x \ln \left(\ln \left(x \right)\right)}{3}}{x}$&$147$\\ \hline \end{longtable}"," ",0,"((4/3*exp(256)+40/3)*ln(ln(x)^2)+(10/3+1/3*exp(256))*x*ln(ln(x)^2))/x","A"
7439,1,21,20,0.046000," ","int(((5*x*exp(4)+1)*exp(5*x*exp(4))*ln(x)^2-2*ln(3)*ln(x)+2*ln(3))*exp(((x*exp(5*x*exp(4))-5)*ln(x)-2*x*ln(3))/ln(x))/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{1}{9}\right)^{\frac{x}{\ln \left(x \right)}} {\mathrm e}^{x \,{\mathrm e}^{5 x \,{\mathrm e}^{4}}-5}$&$21$\\ \hline \end{longtable}"," ",0,"(1/9)^(x/ln(x))*exp(x*exp(5*x*exp(4))-5)","A"
7440,0,0,25,0.043000," ","int((((1+2*ln(2))*exp(x)+x-5)*ln(2*x*ln(2))*ln(((x+2*x*ln(2))*exp(x)+x^2-5*x)/ln(2*x*ln(2)))+((2*ln(2)*(x+1)+x+1)*exp(x)+2*x-5)*ln(2*x*ln(2))+(-1-2*ln(2))*exp(x)+5-x)*exp(x*ln(((x+2*x*ln(2))*exp(x)+x^2-5*x)/ln(2*x*ln(2))))/((1+2*ln(2))*exp(x)+x-5)/ln(2*x*ln(2)),x)","\[\int \frac{\left(\left(\left(1+2 \ln \left(2\right)\right) {\mathrm e}^{x}+x -5\right) \ln \left(2 x \ln \left(2\right)\right) \ln \left(\frac{\left(x +2 x \ln \left(2\right)\right) {\mathrm e}^{x}+x^{2}-5 x}{\ln \left(2 x \ln \left(2\right)\right)}\right)+\left(\left(2 \ln \left(2\right) \left(x +1\right)+x +1\right) {\mathrm e}^{x}+2 x -5\right) \ln \left(2 x \ln \left(2\right)\right)+\left(-1-2 \ln \left(2\right)\right) {\mathrm e}^{x}+5-x \right) {\mathrm e}^{x \ln \left(\frac{\left(x +2 x \ln \left(2\right)\right) {\mathrm e}^{x}+x^{2}-5 x}{\ln \left(2 x \ln \left(2\right)\right)}\right)}}{\left(\left(1+2 \ln \left(2\right)\right) {\mathrm e}^{x}+x -5\right) \ln \left(2 x \ln \left(2\right)\right)}\, dx\]"," ",0,"int((((1+2*ln(2))*exp(x)+x-5)*ln(2*x*ln(2))*ln(((x+2*x*ln(2))*exp(x)+x^2-5*x)/ln(2*x*ln(2)))+((2*ln(2)*(x+1)+x+1)*exp(x)+2*x-5)*ln(2*x*ln(2))+(-1-2*ln(2))*exp(x)+5-x)*exp(x*ln(((x+2*x*ln(2))*exp(x)+x^2-5*x)/ln(2*x*ln(2))))/((1+2*ln(2))*exp(x)+x-5)/ln(2*x*ln(2)),x)","F"
7441,1,48,16,0.026000," ","int(50*x*ln(3)^2*ln(x)^2+(950*x*ln(3)^2+20*x*ln(3))*ln(x)+4500*x*ln(3)^2+190*x*ln(3)+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(1+2025 \ln \left(3\right)^{2}+90 \ln \left(3\right)\right) x^{2}+\left(450 \ln \left(3\right)^{2}+10 \ln \left(3\right)\right) x^{2} \ln \left(x \right)+25 \ln \left(3\right)^{2} \ln \left(x \right)^{2} x^{2}$&$48$\\ default&$450 x^{2} \ln \left(3\right)^{2} \ln \left(x \right)+2025 x^{2} \ln \left(3\right)^{2}+10 x^{2} \ln \left(3\right) \ln \left(x \right)+90 x^{2} \ln \left(3\right)+x^{2}+25 \ln \left(3\right)^{2} \ln \left(x \right)^{2} x^{2}$&$54$\\ risch&$450 x^{2} \ln \left(3\right)^{2} \ln \left(x \right)+2025 x^{2} \ln \left(3\right)^{2}+10 x^{2} \ln \left(3\right) \ln \left(x \right)+90 x^{2} \ln \left(3\right)+x^{2}+25 \ln \left(3\right)^{2} \ln \left(x \right)^{2} x^{2}$&$54$\\ \hline \end{longtable}"," ",0,"(1+2025*ln(3)^2+90*ln(3))*x^2+(450*ln(3)^2+10*ln(3))*x^2*ln(x)+25*ln(3)^2*ln(x)^2*x^2","B"
7442,1,843,29,0.303000," ","int(((exp(x)^2+8*exp(x)*x^4+x^8*ln(5)+x^10+2*x^9+16*x^8)*ln((-exp(x)^2-8*exp(x)*x^4-x^8*ln(5)-x^10-2*x^9-16*x^8)/x^8)+(2*x-8)*exp(x)^2+(8*x^5-32*x^4)*exp(x)+2*x^10+2*x^9)*exp(x*ln((-exp(x)^2-8*exp(x)*x^4-x^8*ln(5)-x^10-2*x^9-16*x^8)/x^8))/(exp(x)^2+8*exp(x)*x^4+x^8*ln(5)+x^10+2*x^9+16*x^8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x \left(16 \ln \left(x \right)-2 i \pi -i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{8}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{5}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{6}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{7}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x}+8 \,{\mathrm e}^{x} x^{4}+x^{8} \ln \left(5\right)+x^{10}+2 x^{9}+16 x^{8}\right)}{x^{8}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{8}}\right)-i \pi  \mathrm{csgn}\left(i x^{4}\right)^{3}-i \pi  \mathrm{csgn}\left(i x^{5}\right)^{3}-i \pi  \mathrm{csgn}\left(i x^{6}\right)^{3}-i \pi  \mathrm{csgn}\left(i x^{7}\right)^{3}-i \pi  \mathrm{csgn}\left(i x^{8}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x}+8 \,{\mathrm e}^{x} x^{4}+x^{8} \ln \left(5\right)+x^{10}+2 x^{9}+16 x^{8}\right)}{x^{8}}\right)^{3}-i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+2 i \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x}+8 \,{\mathrm e}^{x} x^{4}+x^{8} \ln \left(5\right)+x^{10}+2 x^{9}+16 x^{8}\right)}{x^{8}}\right)^{2} \pi -i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 \ln \left({\mathrm e}^{2 x}+8 \,{\mathrm e}^{x} x^{4}+x^{8} \ln \left(5\right)+x^{10}+2 x^{9}+16 x^{8}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x}+8 \,{\mathrm e}^{x} x^{4}+x^{8} \ln \left(5\right)+x^{10}+2 x^{9}+16 x^{8}\right)}{x^{8}}\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{2 x}+8 \,{\mathrm e}^{x} x^{4}+x^{8} \ln \left(5\right)+x^{10}+2 x^{9}+16 x^{8}\right)\right)+i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \mathrm{csgn}\left(i x^{5}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{5}\right) \mathrm{csgn}\left(i x^{6}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{6}\right) \mathrm{csgn}\left(i x^{7}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{7}\right) \mathrm{csgn}\left(i x^{8}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{5}\right) \mathrm{csgn}\left(i x^{6}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{6}\right) \mathrm{csgn}\left(i x^{7}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{7}\right) \mathrm{csgn}\left(i x^{8}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 x}+8 \,{\mathrm e}^{x} x^{4}+x^{8} \ln \left(5\right)+x^{10}+2 x^{9}+16 x^{8}\right)}{x^{8}}\right) \mathrm{csgn}\left(\frac{i}{x^{8}}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{2 x}+8 \,{\mathrm e}^{x} x^{4}+x^{8} \ln \left(5\right)+x^{10}+2 x^{9}+16 x^{8}\right)\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right) \mathrm{csgn}\left(i x^{5}\right)\right)}{2}}$&$843$\\ \hline \end{longtable}"," ",0,"exp(-1/2*x*(-2*I*Pi+16*ln(x)-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2+I*Pi*csgn(I*x)*csgn(I*x^3)^2+I*Pi*csgn(I*x^2)*csgn(I*x^3)^2-I*Pi*csgn(I/x^8*(exp(2*x)+8*exp(x)*x^4+x^8*ln(5)+x^10+2*x^9+16*x^8))^2*csgn(I*(exp(2*x)+8*exp(x)*x^4+x^8*ln(5)+x^10+2*x^9+16*x^8))+I*Pi*csgn(I*x^4)*csgn(I*x^5)^2+I*Pi*csgn(I*x^5)*csgn(I*x^6)^2+I*Pi*csgn(I*x^6)*csgn(I*x^7)^2+I*Pi*csgn(I*x^7)*csgn(I*x^8)^2-I*Pi*csgn(I/x^8*(exp(2*x)+8*exp(x)*x^4+x^8*ln(5)+x^10+2*x^9+16*x^8))^2*csgn(I/x^8)-I*Pi*csgn(I*x^2)^3-I*Pi*csgn(I*x)*csgn(I*x^5)*csgn(I*x^6)-I*Pi*csgn(I*x)*csgn(I*x^6)*csgn(I*x^7)-I*Pi*csgn(I*x)*csgn(I*x^7)*csgn(I*x^8)+I*Pi*csgn(I/x^8*(exp(2*x)+8*exp(x)*x^4+x^8*ln(5)+x^10+2*x^9+16*x^8))*csgn(I/x^8)*csgn(I*(exp(2*x)+8*exp(x)*x^4+x^8*ln(5)+x^10+2*x^9+16*x^8))-I*Pi*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)-I*Pi*csgn(I*x)*csgn(I*x^4)*csgn(I*x^5)-I*Pi*csgn(I*x^4)^3-I*Pi*csgn(I*x^5)^3-I*Pi*csgn(I*x^6)^3-I*Pi*csgn(I*x^7)^3-I*Pi*csgn(I*x^8)^3-I*Pi*csgn(I/x^8*(exp(2*x)+8*exp(x)*x^4+x^8*ln(5)+x^10+2*x^9+16*x^8))^3-2*ln(exp(2*x)+8*exp(x)*x^4+x^8*ln(5)+x^10+2*x^9+16*x^8)+I*Pi*csgn(I*x)*csgn(I*x^4)^2+I*Pi*csgn(I*x)*csgn(I*x^5)^2+I*Pi*csgn(I*x)*csgn(I*x^6)^2+I*Pi*csgn(I*x)*csgn(I*x^7)^2+I*Pi*csgn(I*x)*csgn(I*x^8)^2+I*Pi*csgn(I*x^3)*csgn(I*x^4)^2-I*Pi*csgn(I*x^3)^3-I*Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+2*I*csgn(I/x^8*(exp(2*x)+8*exp(x)*x^4+x^8*ln(5)+x^10+2*x^9+16*x^8))^2*Pi))","C"
7443,1,224,33,0.169000," ","int(((8*exp(x)^2+4*x-4)*exp(x^2)^2+(16*x*exp(x)^2+4*x^2-8*x+2)*exp(x^2)+8*exp(x)^2*x^2-4*x^2+2*x)*exp(exp(x)^2-x)^4+((-48*exp(x)^2-32*x+24)*exp(x^2)^2+(-96*x*exp(x)^2-32*x^2+48*x-16)*exp(x^2)-48*exp(x)^2*x^2+24*x^2-16*x)*exp(exp(x)^2-x)^3+(((-8*x+96)*exp(x)^2-8*x^2+100*x-50)*exp(x^2)^2+((-16*x^2+192*x)*exp(x)^2-8*x^3+104*x^2-104*x+48)*exp(x^2)+(-8*x^3+96*x^2)*exp(x)^2+4*x^3-54*x^2+48*x)*exp(exp(x)^2-x)^2+(((16*x-64)*exp(x)^2+32*x^2-136*x+40)*exp(x^2)^2+((32*x^2-128*x)*exp(x)^2+32*x^3-144*x^2+96*x-64)*exp(x^2)+(16*x^3-64*x^2)*exp(x)^2-8*x^3+56*x^2-64*x)*exp(exp(x)^2-x)+(4*x^3-32*x^2+66*x-8)*exp(x^2)^2+(4*x^4-32*x^3+70*x^2-32*x+32)*exp(x^2)+4*x^3-24*x^2+32*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}+2 \,{\mathrm e}^{x^{2}} x +{\mathrm e}^{2 x^{2}}\right) {\mathrm e}^{4 \,{\mathrm e}^{2 x}-4 x}+\left(-8 x^{2}-16 \,{\mathrm e}^{x^{2}} x -8 \,{\mathrm e}^{2 x^{2}}\right) {\mathrm e}^{3 \,{\mathrm e}^{2 x}-3 x}+\left(-2 x^{3}-4 x^{2} {\mathrm e}^{x^{2}}-2 x \,{\mathrm e}^{2 x^{2}}+24 x^{2}+48 \,{\mathrm e}^{x^{2}} x +24 \,{\mathrm e}^{2 x^{2}}\right) {\mathrm e}^{2 \,{\mathrm e}^{2 x}-2 x}+\left(8 x^{3}+16 x^{2} {\mathrm e}^{x^{2}}+8 x \,{\mathrm e}^{2 x^{2}}-32 x^{2}-64 \,{\mathrm e}^{x^{2}} x -32 \,{\mathrm e}^{2 x^{2}}\right) {\mathrm e}^{{\mathrm e}^{2 x}-x}+\left(x^{2}-8 x +16\right) {\mathrm e}^{2 x^{2}}+\left(2 x^{3}-16 x^{2}+32 x \right) {\mathrm e}^{x^{2}}+x^{4}-8 x^{3}+16 x^{2}-x$&$224$\\ \hline \end{longtable}"," ",0,"(x^2+2*exp(x^2)*x+exp(2*x^2))*exp(4*exp(2*x)-4*x)+(-8*x^2-16*exp(x^2)*x-8*exp(2*x^2))*exp(3*exp(2*x)-3*x)+(-2*x^3-4*x^2*exp(x^2)-2*x*exp(2*x^2)+24*x^2+48*exp(x^2)*x+24*exp(2*x^2))*exp(2*exp(2*x)-2*x)+(8*x^3+16*x^2*exp(x^2)+8*x*exp(2*x^2)-32*x^2-64*exp(x^2)*x-32*exp(2*x^2))*exp(exp(2*x)-x)+(x^2-8*x+16)*exp(2*x^2)+(2*x^3-16*x^2+32*x)*exp(x^2)+x^4-8*x^3+16*x^2-x","B"
7444,1,19,17,0.033000," ","int((-exp(8)^2+(4*x-2)*exp(8)-3*x^2+2*x+4)*exp((1-x)*exp(8)^2+(2*x^2-2*x)*exp(8)-x^3+x^2+4*x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\left(x -1\right) \left(-2 x \,{\mathrm e}^{8}+x^{2}+{\mathrm e}^{16}-4\right)}$&$19$\\ derivativedivides&${\mathrm e}^{\left(1-x \right) {\mathrm e}^{16}+\left(2 x^{2}-2 x \right) {\mathrm e}^{8}-x^{3}+x^{2}+4 x -4}$&$37$\\ default&${\mathrm e}^{\left(1-x \right) {\mathrm e}^{16}+\left(2 x^{2}-2 x \right) {\mathrm e}^{8}-x^{3}+x^{2}+4 x -4}$&$37$\\ norman&${\mathrm e}^{\left(1-x \right) {\mathrm e}^{16}+\left(2 x^{2}-2 x \right) {\mathrm e}^{8}-x^{3}+x^{2}+4 x -4}$&$37$\\ gosper&${\mathrm e}^{2 x^{2} {\mathrm e}^{8}-x^{3}-2 x \,{\mathrm e}^{8}-x \,{\mathrm e}^{16}+x^{2}+{\mathrm e}^{16}+4 x -4}$&$38$\\ \hline \end{longtable}"," ",0,"exp(-(x-1)*(-2*x*exp(8)+x^2+exp(16)-4))","A"
7445,1,23,22,0.031000," ","int(((-50*x+25)*ln(x)^2+(-20*x^3+10*x^2+4*x)*ln(x)-2*x^5+x^4-2*x)/(25*ln(x)^2+10*x^2*ln(x)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+x +\frac{2 x^{2}}{5 \left(x^{2}+5 \ln \left(x \right)\right)}$&$23$\\ norman&$\frac{x^{3}-2 \ln \left(x \right)-x^{4}+5 x \ln \left(x \right)-5 x^{2} \ln \left(x \right)}{x^{2}+5 \ln \left(x \right)}$&$37$\\ \hline \end{longtable}"," ",0,"-x^2+x+2/5*x^2/(x^2+5*ln(x))","A"
7446,1,41,32,0.131000," ","int((((-16*x^3+32*x^2-32*x)*exp(3)^2+(-8*x^4+20*x^3-24*x^2)*exp(3)-x^5+3*x^4-4*x^3)*exp(3+x)+(-32*x^4+32*x^3)*exp(3)^2+(-12*x^5+8*x^4)*exp(3)-x^6)/((2*x^3-12*x^2+24*x-16)*exp(3)^2*exp(3+x)^3+(6*x^5-36*x^4+72*x^3-48*x^2)*exp(3)^2*exp(3+x)^2+(6*x^7-36*x^6+72*x^5-48*x^4)*exp(3)^2*exp(3+x)+(2*x^9-12*x^8+24*x^7-16*x^6)*exp(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} \left(16 \,{\mathrm e}^{6}+8 x \,{\mathrm e}^{3}+x^{2}\right) {\mathrm e}^{-6}}{4 \left(x^{2}-4 x +4\right) \left(x^{2}+{\mathrm e}^{3+x}\right)^{2}}$&$41$\\ \hline \end{longtable}"," ",0,"1/4*x^2*(16*exp(6)+8*x*exp(3)+x^2)/(x^2-4*x+4)/(x^2+exp(3+x))^2*exp(-6)","A"
7447,1,31,26,0.074000," ","int(1/4*((-40*exp(4*x)*ln(2*ln(2))+40*x*exp(4*x)+5)*exp(exp(4*x))^2-20)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x \,{\mathrm e}^{-2}+\frac{\left(-5 \ln \left(2\right)-5 \ln \left(\ln \left(2\right)\right)+5 x \right) {\mathrm e}^{-2+2 \,{\mathrm e}^{4 x}}}{4}$&$31$\\ norman&$-5 x \,{\mathrm e}^{-2}+\frac{5 x \,{\mathrm e}^{-2} {\mathrm e}^{2 \,{\mathrm e}^{4 x}}}{4}-\frac{5 \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) {\mathrm e}^{-2} {\mathrm e}^{2 \,{\mathrm e}^{4 x}}}{4}$&$42$\\ default&$\frac{{\mathrm e}^{-2} \left(-20 x -5 \,{\mathrm e}^{2 \,{\mathrm e}^{4 x}} \ln \left(2\right)-5 \,{\mathrm e}^{2 \,{\mathrm e}^{4 x}} \ln \left(\ln \left(2\right)\right)+5 x \,{\mathrm e}^{2 \,{\mathrm e}^{4 x}}\right)}{4}$&$44$\\ \hline \end{longtable}"," ",0,"-5*x*exp(-2)+1/4*(-5*ln(2)-5*ln(ln(2))+5*x)*exp(-2+2*exp(4*x))","A"
7448,1,40,23,0.058000," ","int((2*ln(3)*ln(x)^2+((2*x^2-2*x)*exp(1)*ln(3)*exp(x)-2*ln(3))*ln(x)-2*x^3*exp(1)^2*ln(3)*exp(x)^2+2*x*exp(1)*ln(3)*exp(x)+x^3*exp(1)^2*ln(3))/x^3/exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(3\right) \ln \left(x \right) {\mathrm e}^{x -1}}{x}+x \ln \left(3\right)-\ln \left(3\right) {\mathrm e}^{2 x}-\frac{{\mathrm e}^{-2} \ln \left(3\right) \ln \left(x \right)^{2}}{x^{2}}$&$40$\\ default&${\mathrm e}^{-2} \left(\frac{2 \,{\mathrm e} \ln \left(3\right) {\mathrm e}^{x} \ln \left(x \right)}{x}+x \,{\mathrm e}^{2} \ln \left(3\right)-{\mathrm e}^{2} \ln \left(3\right) {\mathrm e}^{2 x}-\frac{\ln \left(3\right) \ln \left(x \right)^{2}}{x^{2}}\right)$&$51$\\ \hline \end{longtable}"," ",0,"2*ln(3)*ln(x)/x*exp(x-1)+x*ln(3)-ln(3)*exp(2*x)-exp(-2)*ln(3)/x^2*ln(x)^2","A"
7449,1,47,22,0.020000," ","int(((2*x^2+x)*ln(x*exp(x-1))+(2*x^2+x)*ln(2*x)+x^3+13*x^2+7*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \,{\mathrm e}^{x -1}\right) x^{2}+\ln \left(x \,{\mathrm e}^{x -1}\right) x +5 x^{2}+5 x +\frac{7}{3}+x^{2} \ln \left(2 x \right)+x \ln \left(2 x \right)+\ln \left(x \right)$&$47$\\ \hline \end{longtable}"," ",0,"ln(x*exp(x-1))*x^2+ln(x*exp(x-1))*x+5*x^2+5*x+7/3+x^2*ln(2*x)+x*ln(2*x)+ln(x)","B"
7450,1,24,27,0.039000," ","int((-6000*x*ln(x)-6*x^5+55*x^4-660*x^3+550*x^2-3150*x+1375)/(75*x^4+750*x^2+1875),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{2}}{25}+\frac{11 x}{15}-\frac{8 \ln \left(x \right) x^{2}}{x^{2}+5}$&$24$\\ risch&$\frac{40 \ln \left(x \right)}{x^{2}+5}-\frac{x^{2}}{25}+\frac{11 x}{15}-8 \ln \left(x \right)$&$25$\\ norman&$\frac{\frac{11 x}{3}+\frac{11 x^{3}}{15}-\frac{x^{4}}{25}-8 x^{2} \ln \left(x \right)+1}{x^{2}+5}$&$31$\\ \hline \end{longtable}"," ",0,"-1/25*x^2+11/15*x-8*ln(x)*x^2/(x^2+5)","A"
7451,1,26,20,0.056000," ","int((-6*exp(x)^3+18*exp(x)^2+(6*x^2-30*x+30)*exp(x)+12*x-30)*exp(exp(x))/exp(5/6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(6 x^{2}-6 \,{\mathrm e}^{2 x}-30 x +30 \,{\mathrm e}^{x}\right) {\mathrm e}^{-\frac{5}{6}+{\mathrm e}^{x}}$&$26$\\ norman&$-30 \,{\mathrm e}^{-\frac{5}{6}} x \,{\mathrm e}^{{\mathrm e}^{x}}+6 \,{\mathrm e}^{-\frac{5}{6}} x^{2} {\mathrm e}^{{\mathrm e}^{x}}+30 \,{\mathrm e}^{-\frac{5}{6}} {\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{x}}-6 \,{\mathrm e}^{-\frac{5}{6}} {\mathrm e}^{2 x} {\mathrm e}^{{\mathrm e}^{x}}$&$48$\\ \hline \end{longtable}"," ",0,"(6*x^2-6*exp(2*x)-30*x+30*exp(x))*exp(-5/6+exp(x))","A"
7452,1,19,19,0.017000," ","int(2/3*x*ln(x^2)-144*x^3+2/3*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -36 x^{4}+\frac{x^{2} \ln \left(x^{2}\right)}{3}$&$19$\\ norman&$2 x -36 x^{4}+\frac{x^{2} \ln \left(x^{2}\right)}{3}$&$19$\\ risch&$2 x -36 x^{4}+\frac{x^{2} \ln \left(x^{2}\right)}{3}$&$19$\\ \hline \end{longtable}"," ",0,"2*x-36*x^4+1/3*x^2*ln(x^2)","A"
7453,1,26,25,0.071000," ","int((3*ln(ln(ln(2)))^2+x*ln(4*x^2)^2+5*x*ln(4*x^2)+10*x+12)/(x*ln(4*x^2)^2+8*x*ln(4*x^2)+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{3 \left(\ln \left(\ln \left(\ln \left(2\right)\right)\right)^{2}+2 x +4\right)}{2 \left(\ln \left(4 x^{2}\right)+4\right)}$&$26$\\ norman&$\frac{x +x \ln \left(4 x^{2}\right)-6-\frac{3 \ln \left(\ln \left(\ln \left(2\right)\right)\right)^{2}}{2}}{\ln \left(4 x^{2}\right)+4}$&$31$\\ default&$\frac{x \ln \left(x^{2}\right)+\left(1+2 \ln \left(2\right)\right) x -6}{2 \ln \left(2\right)+\ln \left(x^{2}\right)+4}-\frac{3 \ln \left(\ln \left(\ln \left(2\right)\right)\right)^{2}}{2 \left(2 \ln \left(2\right)+\ln \left(x^{2}\right)+4\right)}$&$51$\\ \hline \end{longtable}"," ",0,"x-3/2*(ln(ln(ln(2)))^2+2*x+4)/(ln(4*x^2)+4)","A"
7454,1,19,21,0.023000," ","int(((7*x^9+225*x^8+2*x-450)*exp(225/x)*ln(x)+(-x^9+2*x)*exp(225/x))/(x^17-4*x^9+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \,{\mathrm e}^{\frac{225}{x}} \ln \left(x \right)}{x^{8}-2}$&$19$\\ \hline \end{longtable}"," ",0,"-x/(x^8-2)*exp(225/x)*ln(x)","A"
7455,1,279,32,17.017000," ","int((((-15*exp(x)^2-150*exp(x)+30*x-375)*ln(x^2)+30*exp(x)^2+300*exp(x)-60*x+750)*ln((exp(x)^2+10*exp(x)+25-2*x)/x)+((30*x-15)*exp(x)^2+(150*x-150)*exp(x)-375)*ln(x^2)+(-150*x^2+75*x)*exp(x)^2+(-750*x^2+750*x)*exp(x)+1875*x)/((exp(x)^2+10*exp(x)+25-2*x)*ln(x^2)^2+(-10*x*exp(x)^2-100*exp(x)*x+20*x^2-250*x)*ln(x^2)+25*exp(x)^2*x^2+250*exp(x)*x^2-50*x^3+625*x^2)/ln((exp(x)^2+10*exp(x)+25-2*x)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{60 i x}{\left(i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+10 x -4 \ln \left(x \right)\right) \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{2 x}}{2}-x +5 \,{\mathrm e}^{x}+\frac{25}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{2 x}}{2}-x +5 \,{\mathrm e}^{x}+\frac{25}{2}\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{2 x}}{2}-x +5 \,{\mathrm e}^{x}+\frac{25}{2}\right)}{x}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{2 x}}{2}-x +5 \,{\mathrm e}^{x}+\frac{25}{2}\right)}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{2 x}}{2}-x +5 \,{\mathrm e}^{x}+\frac{25}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{2 x}}{2}-x +5 \,{\mathrm e}^{x}+\frac{25}{2}\right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{2 x}}{2}-x +5 \,{\mathrm e}^{x}+\frac{25}{2}\right)}{x}\right)^{3}-2 \pi +2 i \ln \left(2\right)-2 i \ln \left(x \right)+2 i \ln \left(-\frac{{\mathrm e}^{2 x}}{2}+x -5 \,{\mathrm e}^{x}-\frac{25}{2}\right)\right)}$&$279$\\ \hline \end{longtable}"," ",0,"60*I*x/(I*Pi*csgn(I*x^2)*csgn(I*x)^2-2*I*Pi*csgn(I*x^2)^2*csgn(I*x)+I*Pi*csgn(I*x^2)^3+10*x-4*ln(x))/(Pi*csgn(I/x)*csgn(I*(1/2*exp(2*x)-x+5*exp(x)+25/2))*csgn(I*(1/2*exp(2*x)-x+5*exp(x)+25/2)/x)-Pi*csgn(I/x)*csgn(I*(1/2*exp(2*x)-x+5*exp(x)+25/2)/x)^2+2*Pi*csgn(I*(1/2*exp(2*x)-x+5*exp(x)+25/2)/x)^2+Pi*csgn(I*(1/2*exp(2*x)-x+5*exp(x)+25/2))*csgn(I*(1/2*exp(2*x)-x+5*exp(x)+25/2)/x)^2+Pi*csgn(I*(1/2*exp(2*x)-x+5*exp(x)+25/2)/x)^3-2*Pi+2*I*ln(2)-2*I*ln(x)+2*I*ln(-1/2*exp(2*x)+x-5*exp(x)-25/2))","C"
7456,1,124,25,0.279000," ","int((((2*x^2-2*x)*ln(x)*ln(1/3*x*ln(x)^2)*ln(ln(1/3*x*ln(x)^2))+(2*x^3-2*x^2-3)*ln(x)*ln(1/3*x*ln(x)^2))*ln((-2*x^2+2*x)*ln(ln(1/3*x*ln(x)^2))-2*x^3+2*x^2+3)+(4*x^3-2*x)*ln(x)*ln(1/3*x*ln(x)^2)*ln(ln(1/3*x*ln(x)^2))+(4*x^4+2*x^3-4*x^2-6*x)*ln(x)*ln(1/3*x*ln(x)^2)+(2*x^2-2*x)*ln(x)+4*x^2-4*x)/((2*x^2-2*x)*ln(x)*ln(1/3*x*ln(x)^2)*ln(ln(1/3*x*ln(x)^2))+(2*x^3-2*x^2-3)*ln(x)*ln(1/3*x*ln(x)^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+x \ln \left(\left(-2 x^{2}+2 x \right) \ln \left(-\ln \left(3\right)+\ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \left(-\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)+\mathrm{csgn}\left(i \ln \left(x \right)\right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)^{2}\right) \left(-\mathrm{csgn}\left(i x \ln \left(x \right)^{2}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \ln \left(x \right)^{2}\right)+\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)\right)}{2}\right)-2 x^{3}+2 x^{2}+3\right)$&$124$\\ \hline \end{longtable}"," ",0,"x^2+x*ln((-2*x^2+2*x)*ln(-ln(3)+ln(x)+2*ln(ln(x))-1/2*I*Pi*csgn(I*ln(x)^2)*(-csgn(I*ln(x)^2)+csgn(I*ln(x)))^2-1/2*I*Pi*csgn(I*x*ln(x)^2)*(-csgn(I*x*ln(x)^2)+csgn(I*x))*(-csgn(I*x*ln(x)^2)+csgn(I*ln(x)^2)))-2*x^3+2*x^2+3)","C"
7457,1,12,13,0.036000," ","int((768*x^3-4)*exp(64*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \,{\mathrm e}^{64 x^{3}}}{x}$&$12$\\ norman&$\frac{4 \,{\mathrm e}^{64 x^{3}}}{x}$&$12$\\ risch&$\frac{4 \,{\mathrm e}^{64 x^{3}}}{x}$&$12$\\ meijerg&$-16 \left(-1\right)^{\frac{1}{3}} \left(\frac{x^{2} \left(-1\right)^{\frac{2}{3}} \Gamma \left(\frac{2}{3}\right)}{\left(-x^{3}\right)^{\frac{2}{3}}}-\frac{\left(-1\right)^{\frac{2}{3}} x^{2} \Gamma \left(\frac{2}{3}, -64 x^{3}\right)}{\left(-x^{3}\right)^{\frac{2}{3}}}\right)-\frac{16 \left(-1\right)^{\frac{1}{3}} \left(-\frac{3 x^{2} \left(-1\right)^{\frac{2}{3}} \Gamma \left(\frac{2}{3}\right)}{\left(-x^{3}\right)^{\frac{2}{3}}}+\frac{3 \left(-1\right)^{\frac{2}{3}} {\mathrm e}^{64 x^{3}}}{4 x}+\frac{3 \left(-1\right)^{\frac{2}{3}} x^{2} \Gamma \left(\frac{2}{3}, -64 x^{3}\right)}{\left(-x^{3}\right)^{\frac{2}{3}}}\right)}{3}$&$105$\\ \hline \end{longtable}"," ",0,"4*exp(64*x^3)/x","A"
7458,1,400,22,0.198000," ","int(((9*x+9)*exp(x)+8)*ln(x^2)^2+((-18*x^2-36*x+36)*exp(x)-32*x+32)*ln(x^2)+(9*x^3+27*x^2+36)*exp(x)+24*x^2-32*x+32,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(36 \,{\mathrm e}^{x} x +32 x \right) \ln \left(x \right)^{2}+\left(-16 i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-4 i\right) x -18 i \left(\pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-4 i\right) {\mathrm e}^{x}\right) \ln \left(x \right)+18 i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+16 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+16 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-32 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(\mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{2}\right) \left(8 x^{2}-16 x +9 \,{\mathrm e}^{x} x^{2}-18 \,{\mathrm e}^{x}\right)-36 i {\mathrm e}^{x} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\frac{\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \left(\mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{2}\right)^{2} \left(8 x +9 \,{\mathrm e}^{x} x \right)}{4}+\left(-32 x^{2}+64 x +\left(-36 x^{2}+72\right) {\mathrm e}^{x}\right) \ln \left(x \right)+18 i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+36 \,{\mathrm e}^{x} x -36 \,{\mathrm e}^{x}+\left(9 x^{3}+36\right) {\mathrm e}^{x}+8 x^{3}+32 x$&$400$\\ \hline \end{longtable}"," ",0,"(36*exp(x)*x+32*x)*ln(x)^2+(-16*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I)*x-18*I*(Pi*x*csgn(I*x)^2*csgn(I*x^2)-2*Pi*x*csgn(I*x)*csgn(I*x^2)^2+Pi*x*csgn(I*x^2)^3-4*I)*exp(x))*ln(x)+18*I*exp(x)*Pi*csgn(I*x^2)^3+16*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)+16*I*Pi*x*csgn(I*x^2)^3-32*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2+I*Pi*csgn(I*x^2)*(csgn(I*x)^2-2*csgn(I*x^2)*csgn(I*x)+csgn(I*x^2)^2)*(8*x^2-16*x+9*exp(x)*x^2-18*exp(x))-36*I*exp(x)*Pi*csgn(I*x)*csgn(I*x^2)^2-1/4*Pi^2*csgn(I*x^2)^2*(csgn(I*x)^2-2*csgn(I*x^2)*csgn(I*x)+csgn(I*x^2)^2)^2*(8*x+9*exp(x)*x)+(-32*x^2+64*x+(-36*x^2+72)*exp(x))*ln(x)+18*I*exp(x)*Pi*csgn(I*x)^2*csgn(I*x^2)+36*exp(x)*x-36*exp(x)+(9*x^3+36)*exp(x)+8*x^3+32*x","C"
7459,1,25,21,0.071000," ","int(((6*x^2-8*x)*exp(2*x^3-4*x^2)-2*ln(5)+2*x)*exp(exp(2*x^3-4*x^2)+ln(5)^2-2*x*ln(5)+x^2-4)*exp(exp(exp(2*x^3-4*x^2)+ln(5)^2-2*x*ln(5)+x^2-4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\left(\frac{1}{25}\right)^{x} {\mathrm e}^{{\mathrm e}^{2 \left(x -2\right) x^{2}}+\ln \left(5\right)^{2}-4+x^{2}}}$&$25$\\ derivativedivides&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{2 x^{3}-4 x^{2}}+\ln \left(5\right)^{2}-2 x \ln \left(5\right)+x^{2}-4}}$&$29$\\ default&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{2 x^{3}-4 x^{2}}+\ln \left(5\right)^{2}-2 x \ln \left(5\right)+x^{2}-4}}$&$29$\\ norman&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{2 x^{3}-4 x^{2}}+\ln \left(5\right)^{2}-2 x \ln \left(5\right)+x^{2}-4}}$&$29$\\ \hline \end{longtable}"," ",0,"exp((1/25)^x*exp(exp(2*(x-2)*x^2)+ln(5)^2-4+x^2))","A"
7460,1,189,27,0.223000," ","int(1/2*(((-4*x^2-8)*ln(2*x/(x^2+2))-8*x^3+32*x^2-16*x+48)*ln(x)+(-4*x^2-8)*ln(2*x/(x^2+2))-4*x^3+28*x^2-8*x+56)/(x^2+2)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(x \right) x \ln \left(x^{2}+2\right)}{\ln \left(5\right)}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{2}+2}\right) \mathrm{csgn}\left(\frac{i x}{x^{2}+2}\right)^{2} \ln \left(x \right)}{\ln \left(5\right)}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x^{2}+2}\right) \mathrm{csgn}\left(\frac{i x}{x^{2}+2}\right) \mathrm{csgn}\left(i x \right) \ln \left(x \right)}{\ln \left(5\right)}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i x}{x^{2}+2}\right)^{2} \mathrm{csgn}\left(i x \right) \ln \left(x \right)}{\ln \left(5\right)}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i x}{x^{2}+2}\right)^{3} \ln \left(x \right)}{\ln \left(5\right)}-\frac{2 x \ln \left(2\right) \ln \left(x \right)}{\ln \left(5\right)}-\frac{2 x^{2} \ln \left(x \right)}{\ln \left(5\right)}-\frac{2 x \ln \left(x \right)^{2}}{\ln \left(5\right)}+\frac{14 x \ln \left(x \right)}{\ln \left(5\right)}$&$189$\\ \hline \end{longtable}"," ",0,"2/ln(5)*ln(x)*x*ln(x^2+2)-I/ln(5)*Pi*x*csgn(I/(x^2+2))*csgn(I*x/(x^2+2))^2*ln(x)+I/ln(5)*Pi*x*csgn(I/(x^2+2))*csgn(I*x/(x^2+2))*csgn(I*x)*ln(x)-I/ln(5)*Pi*x*csgn(I*x/(x^2+2))^2*csgn(I*x)*ln(x)+I/ln(5)*Pi*x*csgn(I*x/(x^2+2))^3*ln(x)-2/ln(5)*x*ln(2)*ln(x)-2/ln(5)*x^2*ln(x)-2/ln(5)*x*ln(x)^2+14/ln(5)*x*ln(x)","C"
7461,1,27,27,0.079000," ","int(((-x^2-1)*ln(x)+162*x^3-81*x^2+1)/((x^4-2*x^2+1)*ln(x)^2+(-162*x^5+160*x^4+164*x^3-160*x^2-2*x)*ln(x)+6561*x^6-12960*x^5+6238*x^4+160*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{\left(x -1\right) \left(81 x^{2}-\ln \left(x \right)-x \ln \left(x \right)+x \right)}$&$27$\\ norman&$-\frac{x}{81 x^{3}-x^{2} \ln \left(x \right)-80 x^{2}-x +\ln \left(x \right)}$&$29$\\ \hline \end{longtable}"," ",0,"-x/(x-1)/(81*x^2-ln(x)-x*ln(x)+x)","A"
7462,1,50,25,0.082000," ","int((8*x^3*exp(x^2+2)^2+(-8*x^6-12*x^4-24*x^3)*exp(x^2+2)+12*x^7+36*x^4+2*x^2+2*x)*exp(exp(x^2+2)^2+(-2*x^3-6)*exp(x^2+2)+x^6+6*x^3+x+4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{2 x^{6}-4 \,{\mathrm e}^{x^{2}+2} x^{3}+12 x^{3}+2 \,{\mathrm e}^{2 x^{2}+4}-12 \,{\mathrm e}^{x^{2}+2}+2 x +8}$&$50$\\ \hline \end{longtable}"," ",0,"x^2*exp(2*x^6-4*exp(x^2+2)*x^3+12*x^3+2*exp(2*x^2+4)-12*exp(x^2+2)+2*x+8)","A"
7463,1,18,24,0.036000," ","int((((x+1)*exp(x)-3*x^2+2*x+2)*ln(x)+exp(x)-x^2+x+2)/(exp(x)*x-x^3+x^2+2*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left(-x^{2}+{\mathrm e}^{x}+x +2\right)+\ln \left(\ln \left(x \right)\right)$&$18$\\ norman&$\ln \left(x \right)+\ln \left(\ln \left(x \right)\right)+\ln \left(x^{2}-x -{\mathrm e}^{x}-2\right)$&$20$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(-x^2+exp(x)+x+2)+ln(ln(x))","A"
7464,1,25,21,0.375000," ","int((((-24*x-96)*exp(1)*exp(4)+(48*x^2+192*x)*exp(1))*ln(exp(4)-2*x)+(12*x^3+96*x^2+192*x)*exp(1))/(x^3*exp(4)-2*x^4)/ln(exp(4)-2*x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e} \left(x^{2}+8 x +16\right)}{x^{2} \ln \left({\mathrm e}^{4}-2 x \right)^{2}}$&$25$\\ norman&$\frac{24 x \,{\mathrm e}+3 x^{2} {\mathrm e}+48 \,{\mathrm e}}{\ln \left({\mathrm e}^{4}-2 x \right)^{2} x^{2}}$&$31$\\ \hline \end{longtable}"," ",0,"3*exp(1)*(x^2+8*x+16)/x^2/ln(exp(4)-2*x)^2","A"
7465,1,26,20,0.080000," ","int(((x^2+10*x+25)*exp(-8*x)^2+(2*x^3-30*x^2-400*x-1000)*exp(-8*x)+x^4+5*x^2+50*x)/((x^2+10*x+25)*exp(-8*x)^2+(2*x^3+10*x^2)*exp(-8*x)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{5 \left(5+x \right)}{{\mathrm e}^{-8 x} x +x^{2}+5 \,{\mathrm e}^{-8 x}}$&$26$\\ norman&$\frac{-25+x^{3}+{\mathrm e}^{-8 x} x^{2}+5 \,{\mathrm e}^{-8 x} x -5 x}{{\mathrm e}^{-8 x} x +x^{2}+5 \,{\mathrm e}^{-8 x}}$&$43$\\ \hline \end{longtable}"," ",0,"x-5*(5+x)/(exp(-8*x)*x+x^2+5*exp(-8*x))","A"
7466,1,21,24,0.033000," ","int((72*x^2-144)/(24*x^3-71*x^2+48*x)/ln(2*x/(72*x^2-213*x+144))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3}{\ln \left(\frac{2 x}{72 x^{2}-213 x +144}\right)}$&$21$\\ risch&$\frac{3}{\ln \left(\frac{2 x}{72 x^{2}-213 x +144}\right)}$&$21$\\ \hline \end{longtable}"," ",0,"3/ln(2*x/(72*x^2-213*x+144))","A"
7467,1,21,25,0.121000," ","int(1/9*((4*x+12)*exp(8)^2+(-16*x^2-48*x)*exp(8)+12*x^3+36*x^2+9)*exp(4/9*x*exp(8)^2-8/9*x^2*exp(8)+4/9*x^3)*exp((3+x)*exp(4/9*x*exp(8)^2-8/9*x^2*exp(8)+4/9*x^3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\left(3+x \right) {\mathrm e}^{\frac{4 x \left(-2 x \,{\mathrm e}^{8}+x^{2}+{\mathrm e}^{16}\right)}{9}}}$&$21$\\ norman&${\mathrm e}^{\left(3+x \right) {\mathrm e}^{\frac{4 x \,{\mathrm e}^{16}}{9}-\frac{8 x^{2} {\mathrm e}^{8}}{9}+\frac{4 x^{3}}{9}}}$&$27$\\ \hline \end{longtable}"," ",0,"exp((3+x)*exp(4/9*x*(-2*x*exp(8)+x^2+exp(16))))","A"
7468,1,15,22,0.076000," ","int(125*ln(exp(2*x+9)/x/exp(x-1))+125*x-125,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$125 x \ln \left(\frac{{\mathrm e}^{11} {\mathrm e}^{x -1}}{x}\right)$&$15$\\ default&$125 \ln \left(\frac{{\mathrm e}^{2 x +9} {\mathrm e}^{1-x}}{x}\right) x$&$21$\\ risch&$125 x \ln \left({\mathrm e}^{x -1}\right)-125 x \ln \left(x \right)+\frac{125 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x -1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x -1}}{x}\right)^{2} x}{2}-\frac{125 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x -1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x -1}}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) x}{2}+\frac{125 i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x -1}}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right) x}{2}-\frac{125 i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x -1}}{x}\right)^{3} x}{2}+1375 x$&$118$\\ \hline \end{longtable}"," ",0,"125*x*ln(exp(11)*exp(x-1)/x)","A"
7469,1,24,25,0.072000," ","int(((((4*x^2+x)*exp(1)-4*x^3-x^2)*exp(x)*ln(x)+((4*x-3)*exp(1)-4*x^2+3*x)*exp(x)-x)*exp((4*x-3)*exp(x)*ln(x)+5)+5*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x +\left({\mathrm e}-x \right) x^{\left(4 x -3\right) {\mathrm e}^{x}} {\mathrm e}^{5}$&$24$\\ \hline \end{longtable}"," ",0,"5*x+(exp(1)-x)*x^((4*x-3)*exp(x))*exp(5)","A"
7470,1,22,21,0.143000," ","int((exp(exp(3))-4*ln(2)+x+75)*exp((-exp(exp(3))+4*ln(2)+4*x-75)/x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)+4 x -75}{x}} x$&$22$\\ norman&${\mathrm e}^{\frac{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)+4 x -75}{x}} x$&$22$\\ risch&${\mathrm e}^{\frac{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)+4 x -75}{x}} x$&$22$\\ derivativedivides&${\mathrm e}^{{\mathrm e}^{3}} {\mathrm e}^{4} \expIntegralEi \left(1, -\frac{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}{x}\right)-\frac{75 \,{\mathrm e}^{4+\frac{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}{x}} x}{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}+{\mathrm e}^{{\mathrm e}^{3}} \left(-\frac{{\mathrm e}^{4+\frac{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}{x}} x}{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}-{\mathrm e}^{4} \expIntegralEi \left(1, -\frac{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}{x}\right)\right)+\frac{4 \,{\mathrm e}^{4+\frac{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}{x}} x \ln \left(2\right)}{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}$&$157$\\ default&${\mathrm e}^{{\mathrm e}^{3}} {\mathrm e}^{4} \expIntegralEi \left(1, -\frac{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}{x}\right)-\frac{75 \,{\mathrm e}^{4+\frac{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}{x}} x}{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}+{\mathrm e}^{{\mathrm e}^{3}} \left(-\frac{{\mathrm e}^{4+\frac{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}{x}} x}{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}-{\mathrm e}^{4} \expIntegralEi \left(1, -\frac{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}{x}\right)\right)+\frac{4 \,{\mathrm e}^{4+\frac{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}{x}} x \ln \left(2\right)}{-{\mathrm e}^{{\mathrm e}^{3}}+4 \ln \left(2\right)-75}$&$157$\\ meijerg&$-{\mathrm e}^{4+{\mathrm e}^{3}} \left(-\ln \left(x \right)+\ln \left({\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75\right)-\ln \left(\frac{{\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75}{x}\right)-\expIntegralEi \left(1, \frac{{\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75}{x}\right)\right)+4 \,{\mathrm e}^{4} \ln \left(2\right) \left(-\ln \left(x \right)+\ln \left({\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75\right)-\ln \left(\frac{{\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75}{x}\right)-\expIntegralEi \left(1, \frac{{\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75}{x}\right)\right)-{\mathrm e}^{4} \left({\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75\right) \left(-\frac{x}{{\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75}+1+\ln \left(x \right)-\ln \left({\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75\right)+\frac{x \left(2-\frac{2 \left({\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75\right)}{x}\right)}{2 \,{\mathrm e}^{{\mathrm e}^{3}}-8 \ln \left(2\right)+150}-\frac{x \,{\mathrm e}^{-\frac{{\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75}{x}}}{{\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75}+\ln \left(\frac{{\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75}{x}\right)+\expIntegralEi \left(1, \frac{{\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75}{x}\right)\right)-75 \,{\mathrm e}^{4} \left(-\ln \left(x \right)+\ln \left({\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75\right)-\ln \left(\frac{{\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75}{x}\right)-\expIntegralEi \left(1, \frac{{\mathrm e}^{{\mathrm e}^{3}}-4 \ln \left(2\right)+75}{x}\right)\right)$&$294$\\ \hline \end{longtable}"," ",0,"exp((-exp(exp(3))+4*ln(2)+4*x-75)/x)*x","A"
7471,1,26,17,0.094000," ","int(((12*x^2*ln(x)+4*x^3-40*x^2)*ln(5*x)+4*x^2*ln(x)+2*x^3-12*x^2)/(4*ln(x)^2+(4*x-24)*ln(x)+x^2-12*x+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}-\frac{\left(-6-2 \ln \left(5\right)+x \right) x^{3}}{-6+2 \ln \left(x \right)+x}$&$26$\\ default&$\frac{2 x^{3} \ln \left(x \right)}{-6+2 \ln \left(x \right)+x}+\frac{2 x^{3} \ln \left(5\right)}{-6+2 \ln \left(x \right)+x}$&$34$\\ \hline \end{longtable}"," ",0,"x^3-(-6-2*ln(5)+x)*x^3/(-6+2*ln(x)+x)","A"
7472,1,23,17,0.024000," ","int((-8*ln((-5*exp(exp(3)-3)+1)/exp(exp(3)-3))+32)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 \ln \left(-5 \,{\mathrm e}^{{\mathrm e}^{3}-3}+1\right)-4-4 \,{\mathrm e}^{3}}{x^{2}}$&$23$\\ gosper&$\frac{4 \ln \left(\left(-5 \,{\mathrm e}^{{\mathrm e}^{3}-3}+1\right) {\mathrm e}^{3-{\mathrm e}^{3}}\right)-16}{x^{2}}$&$26$\\ default&$-\frac{-8 \ln \left(\left(-5 \,{\mathrm e}^{{\mathrm e}^{3}-3}+1\right) {\mathrm e}^{3-{\mathrm e}^{3}}\right)+32}{2 x^{2}}$&$28$\\ risch&$\frac{4 i \pi}{x^{2}}+\frac{4 \ln \left(5 \,{\mathrm e}^{{\mathrm e}^{3}}-{\mathrm e}^{3}\right)}{x^{2}}-\frac{4 \,{\mathrm e}^{3}}{x^{2}}-\frac{16}{x^{2}}$&$37$\\ \hline \end{longtable}"," ",0,"(4*ln(-5*exp(exp(3)-3)+1)-4-4*exp(3))/x^2","A"
7473,1,75,51,0.260000," ","int(((-4*x-2)*exp((4*x^2+4*x+2)/(x^2+x))^2+(2*x^5+7*x^4+4*x^3-11*x^2-26*x-10)*exp((4*x^2+4*x+2)/(x^2+x))+2*x^7+13*x^6+39*x^5+62*x^4+49*x^3+15*x^2)/(8*x^4+16*x^3+8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{15 x}{8}+\frac{19 x^{2}}{16}+\frac{3 x^{3}}{8}+\frac{x^{4}}{16}+\frac{{\mathrm e}^{\frac{8 x^{2}+8 x +4}{\left(x +1\right) x}}}{16}+\left(\frac{5}{8}+\frac{3}{8} x +\frac{1}{8} x^{2}\right) {\mathrm e}^{\frac{4 x^{2}+4 x +2}{\left(x +1\right) x}}$&$75$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{4 x^{2}+4 x +2}{x^{2}+x}}-\frac{15 x}{8}+\frac{49 x^{3}}{16}+\frac{25 x^{4}}{16}+\frac{7 x^{5}}{16}+\frac{x^{6}}{16}+\frac{5 x \,{\mathrm e}^{\frac{4 x^{2}+4 x +2}{x^{2}+x}}}{8}+\frac{x \,{\mathrm e}^{\frac{8 x^{2}+8 x +4}{x^{2}+x}}}{16}+\frac{x^{2} {\mathrm e}^{\frac{8 x^{2}+8 x +4}{x^{2}+x}}}{16}+\frac{x^{3} {\mathrm e}^{\frac{4 x^{2}+4 x +2}{x^{2}+x}}}{2}+\frac{x^{4} {\mathrm e}^{\frac{4 x^{2}+4 x +2}{x^{2}+x}}}{8}}{\left(x +1\right) x}$&$177$\\ \hline \end{longtable}"," ",0,"15/8*x+19/16*x^2+3/8*x^3+1/16*x^4+1/16*exp(4*(2*x^2+2*x+1)/(x+1)/x)+(5/8+3/8*x+1/8*x^2)*exp(2*(2*x^2+2*x+1)/(x+1)/x)","A"
7474,1,20,17,0.173000," ","int(((4*x^4+22*x^3-10*x^2-100*x)*ln(x-2)-x^4-10*x^3-25*x^2)/(75*x-150)/ln(x-2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} \left(x^{2}+10 x +25\right)}{75 \ln \left(x -2\right)}$&$20$\\ norman&$\frac{\frac{1}{3} x^{2}+\frac{2}{15} x^{3}+\frac{1}{75} x^{4}}{\ln \left(x -2\right)}$&$24$\\ derivativedivides&$\frac{\left(x -2\right)^{4}}{75 \ln \left(x -2\right)}+\frac{6 \left(x -2\right)^{3}}{25 \ln \left(x -2\right)}+\frac{109 \left(x -2\right)^{2}}{75 \ln \left(x -2\right)}+\frac{\frac{84 x}{25}-\frac{168}{25}}{\ln \left(x -2\right)}+\frac{196}{75 \ln \left(x -2\right)}$&$60$\\ default&$\frac{\left(x -2\right)^{4}}{75 \ln \left(x -2\right)}+\frac{6 \left(x -2\right)^{3}}{25 \ln \left(x -2\right)}+\frac{109 \left(x -2\right)^{2}}{75 \ln \left(x -2\right)}+\frac{\frac{84 x}{25}-\frac{168}{25}}{\ln \left(x -2\right)}+\frac{196}{75 \ln \left(x -2\right)}$&$60$\\ \hline \end{longtable}"," ",0,"1/75*x^2*(x^2+10*x+25)/ln(x-2)","A"
7475,1,87,28,0.253000," ","int((((x^3-8*x^2-33*x)*exp(x)+(11*x+33)*ln(2))*ln(x^2+6*x+9)+(x^4-8*x^3-33*x^2)*exp(x)+(-x^3+17*x^2+88*x)*ln(2))/(4*x^3-76*x^2+220*x+1452)/ln(2)/exp(exp(x)/ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \left(-i \pi  \mathrm{csgn}\left(i \left(3+x \right)\right)^{2} \mathrm{csgn}\left(i \left(3+x \right)^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i \left(3+x \right)\right) \mathrm{csgn}\left(i \left(3+x \right)^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i \left(3+x \right)^{2}\right)^{3}+2 x +4 \ln \left(3+x \right)\right) {\mathrm e}^{-\frac{{\mathrm e}^{x}}{\ln \left(2\right)}}}{8 \left(x -11\right)}$&$87$\\ \hline \end{longtable}"," ",0,"-1/8*x*(-I*Pi*csgn(I*(3+x))^2*csgn(I*(3+x)^2)+2*I*Pi*csgn(I*(3+x))*csgn(I*(3+x)^2)^2-I*Pi*csgn(I*(3+x)^2)^3+2*x+4*ln(3+x))/(x-11)*exp(-exp(x)/ln(2))","C"
7476,1,9,10,0.034000," ","int(1/4*(exp(x)*x+1)*exp(9+exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{9+{\mathrm e}^{x}} x}{4}$&$9$\\ risch&$\frac{{\mathrm e}^{9+{\mathrm e}^{x}} x}{4}$&$9$\\ \hline \end{longtable}"," ",0,"1/4*exp(9+exp(x))*x","A"
7477,1,37,20,0.119000," ","int(((-2*exp(1)-2*x)*exp(x+exp(2))-x+1)/((exp(1)^2+2*x*exp(1)+x^2)*exp(x+exp(2))-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(x +{\mathrm e}\right)+{\mathrm e}^{2}+x -\ln \left({\mathrm e}^{x +{\mathrm e}^{2}}-\frac{x}{{\mathrm e}^{2}+2 x \,{\mathrm e}+x^{2}}\right)$&$37$\\ norman&$x -\ln \left({\mathrm e}^{2} {\mathrm e}^{x +{\mathrm e}^{2}}+2 \,{\mathrm e} \,{\mathrm e}^{x +{\mathrm e}^{2}} x +{\mathrm e}^{x +{\mathrm e}^{2}} x^{2}-x \right)$&$39$\\ \hline \end{longtable}"," ",0,"-2*ln(x+exp(1))+exp(2)+x-ln(exp(x+exp(2))-x/(exp(2)+2*x*exp(1)+x^2))","A"
7478,1,11,16,0.015000," ","int(-2/exp(-exp(exp(4)^2)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{8}}-x}$&$11$\\ gosper&$2 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{8}}-x}$&$15$\\ derivativedivides&$2 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{8}}-x}$&$15$\\ default&$2 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{8}}-x}$&$15$\\ norman&$2 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{8}}-x}$&$15$\\ \hline \end{longtable}"," ",0,"2*exp(exp(exp(8))-x)","A"
7479,1,35,22,0.087000," ","int(((50*x^2-200*x)*exp(2)^2-25*x^2*exp(2))/((16*x^2-64*x+64)*exp(2)^2+(8*x^3-32*x^2+32*x)*exp(2)+x^4-4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-50 \,{\mathrm e}^{4}+25 \,{\mathrm e}^{2}\right) x +100 \,{\mathrm e}^{4}}{\left(x -2\right) \left(x +4 \,{\mathrm e}^{2}\right)}$&$35$\\ gosper&$-\frac{25 \left(2 \,{\mathrm e}^{2} x -4 \,{\mathrm e}^{2}-x \right) {\mathrm e}^{2}}{4 \,{\mathrm e}^{2} x +x^{2}-8 \,{\mathrm e}^{2}-2 x}$&$36$\\ risch&$\frac{\left(-\frac{25 \,{\mathrm e}^{4}}{2}+\frac{25 \,{\mathrm e}^{2}}{4}\right) x +25 \,{\mathrm e}^{4}}{{\mathrm e}^{2} x +\frac{x^{2}}{4}-2 \,{\mathrm e}^{2}-\frac{x}{2}}$&$37$\\ \hline \end{longtable}"," ",0,"((-50*exp(2)^2+25*exp(2))*x+100*exp(2)^2)/(x-2)/(x+4*exp(2))","A"
7480,1,22,16,0.031000," ","int(1/2*(4*x*exp(1)^2+x)*exp(x^2)*exp(1/2*exp(x^2))/exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(4 \,{\mathrm e}^{2}+1\right) {\mathrm e}^{-2} {\mathrm e}^{\frac{{\mathrm e}^{x^{2}}}{2}}}{2}$&$22$\\ risch&$2 \,{\mathrm e}^{-2+\frac{{\mathrm e}^{x^{2}}}{2}} {\mathrm e}^{2}+\frac{{\mathrm e}^{-2+\frac{{\mathrm e}^{x^{2}}}{2}}}{2}$&$26$\\ default&$\frac{{\mathrm e}^{-2} \left({\mathrm e}^{\frac{{\mathrm e}^{x^{2}}}{2}}+4 \,{\mathrm e}^{2} {\mathrm e}^{\frac{{\mathrm e}^{x^{2}}}{2}}\right)}{2}$&$28$\\ \hline \end{longtable}"," ",0,"1/2*(4*exp(1)^2+1)/exp(1)^2*exp(1/2*exp(x^2))","A"
7481,1,119,21,0.083000," ","int(((-4*x-20)*ln(x)*ln(ln(x)/x)+(4*x^6*exp(x)-4)*ln(x)+4)/x^6/exp(x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-x} \ln \left(\ln \left(x \right)\right)}{x^{5}}-\frac{2 \left(-2 x^{6} {\mathrm e}^{x}+i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}+2 \ln \left(x \right)\right) {\mathrm e}^{-x}}{x^{5}}$&$119$\\ \hline \end{longtable}"," ",0,"4/x^5*exp(-x)*ln(ln(x))-2*(-2*x^6*exp(x)+I*Pi*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))-I*Pi*csgn(I/x)*csgn(I/x*ln(x))^2-I*Pi*csgn(I*ln(x))*csgn(I/x*ln(x))^2+I*Pi*csgn(I/x*ln(x))^3+2*ln(x))/x^5*exp(-x)","C"
7482,1,22,21,0.074000," ","int(((-x*exp(1-x)+x)*exp(exp(1-x)-ln(2)^4+x+1)-1)*exp(exp(exp(1-x)-ln(2)^4+x+1))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{1-x}-\ln \left(2\right)^{4}+x +1}}}{x}$&$22$\\ risch&$\frac{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{1-x}-\ln \left(2\right)^{4}+x +1}}}{x}$&$22$\\ \hline \end{longtable}"," ",0,"exp(exp(exp(1-x)-ln(2)^4+x+1))/x","A"
7483,1,50,37,0.066000," ","int((100*x^4*exp(exp(x)^2/x^2)^2+((-40*x+40)*exp(x)^3+(40*x^2-40*x)*exp(x)^2+(20*x^3-20*x^2)*exp(x)-200*x^5+400*x^4)*exp(exp(x)^2/x^2)+(-20*x^4+80*x^3-40*x^2)*exp(x)+100*x^6-400*x^5+380*x^4)/(25*x^6*exp(exp(x)^2/x^2)^2+(10*exp(x)*x^4-50*x^7+100*x^6-10*x^5)*exp(exp(x)^2/x^2)+exp(x)^2*x^2+(-10*x^5+20*x^4-2*x^3)*exp(x)+25*x^8-100*x^7+110*x^6-20*x^5+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4}{x}+\frac{4 x -4 \,{\mathrm e}^{x}}{x \left(5 x^{3}-5 x^{2} {\mathrm e}^{\frac{{\mathrm e}^{2 x}}{x^{2}}}-10 x^{2}+x -{\mathrm e}^{x}\right)}$&$50$\\ \hline \end{longtable}"," ",0,"-4/x+4*(x-exp(x))/x/(5*x^3-5*x^2*exp(exp(2*x)/x^2)-10*x^2+x-exp(x))","A"
7484,1,23,22,0.097000," ","int((((16*x+16)*exp(x)-32*x-18)*ln(4*exp(x)*x-4*x^2-9/2*x+4)-8*exp(x)*x+8*x^2+9*x-8)/(8*exp(x)*x-8*x^2-9*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(4 \,{\mathrm e}^{x} x -4 x^{2}-\frac{9 x}{2}+4\right)^{2}-x$&$23$\\ risch&$\ln \left(4 \,{\mathrm e}^{x} x -4 x^{2}-\frac{9 x}{2}+4\right)^{2}-x$&$23$\\ \hline \end{longtable}"," ",0,"ln(4*exp(x)*x-4*x^2-9/2*x+4)^2-x","A"
7485,1,12,24,0.265000," ","int((12*x^2-24*x-73)/(15*x^2-30*x+15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 x}{5}+\frac{17}{3 \left(x -1\right)}$&$12$\\ risch&$\frac{4 x}{5}+\frac{17}{3 \left(x -1\right)}$&$12$\\ norman&$\frac{\frac{4 x^{2}}{5}+\frac{73}{15}}{x -1}$&$14$\\ gosper&$\frac{12 x^{2}+73}{15 x -15}$&$15$\\ meijerg&$-\frac{97 x}{15 \left(1-x \right)}+\frac{4 x \left(-3 x +6\right)}{15 \left(1-x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"4/5*x+17/3/(x-1)","A"
7486,1,21,22,0.279000," ","int(((x^2+2*x+1)*exp(2+x)+(30*x^2+60*x+30)*exp(x)-2*x^2-4*x+2)/(x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x -\frac{4}{x +1}+{\mathrm e}^{2} {\mathrm e}^{x}+30 \,{\mathrm e}^{x}$&$21$\\ norman&$\frac{\left(30+{\mathrm e}^{2}\right) {\mathrm e}^{x}+\left(30+{\mathrm e}^{2}\right) x \,{\mathrm e}^{x}-2 x^{2}-2}{x +1}$&$29$\\ default&${\mathrm e}^{2} \left(-\frac{{\mathrm e}^{x}}{x +1}-{\mathrm e}^{-1} \expIntegralEi \left(1, -x -1\right)\right)+{\mathrm e}^{2} \left({\mathrm e}^{x}-\frac{{\mathrm e}^{x}}{x +1}+{\mathrm e}^{-1} \expIntegralEi \left(1, -x -1\right)\right)-\frac{4}{x +1}-2 x +30 \,{\mathrm e}^{x}+\frac{2 \,{\mathrm e}^{2} {\mathrm e}^{x}}{x +1}$&$76$\\ \hline \end{longtable}"," ",0,"-2*x-4/(x+1)+exp(2)*exp(x)+30*exp(x)","A"
7487,1,11,11,0.016000," ","int((-2*x*exp(x)*ln(x)^2*exp(exp(x))-1)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{1}{\ln \left(x \right)}-2 \,{\mathrm e}^{{\mathrm e}^{x}}$&$11$\\ risch&$\frac{1}{\ln \left(x \right)}-2 \,{\mathrm e}^{{\mathrm e}^{x}}$&$11$\\ \hline \end{longtable}"," ",0,"1/ln(x)-2*exp(exp(x))","A"
7488,1,32,31,0.287000," ","int(1/16*(-80*ln(3)^4*exp(x)*exp(2*x^2)^4-16*x^4-81*x^3-4*x^2+10*x)/(x^2+10*x+25)/ln(3)^4/exp(x)/exp(2*x^2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{5+x}+\frac{x^{2} {\mathrm e}^{-x \left(8 x +1\right)}}{16 \left(5+x \right) \ln \left(3\right)^{4}}$&$32$\\ \hline \end{longtable}"," ",0,"5/(5+x)+1/16/(5+x)*x^2/ln(3)^4*exp(-x*(8*x+1))","A"
7489,1,17,26,0.147000," ","int(1/2*((-6*ln(x)+6)*exp((3*ln(x)-3*x)/x)*exp(exp((3*ln(x)-3*x)/x))+5*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \ln \left(x \right)}{2}+{\mathrm e}^{x^{\frac{3}{x}} {\mathrm e}^{-3}}$&$17$\\ \hline \end{longtable}"," ",0,"5/2*ln(x)+exp(x^(3/x)*exp(-3))","A"
7490,1,239,29,0.371000," ","int(((2*x^2*exp(5)-6*x)*ln(1/6*exp(x)*x)+(2*x^2*exp(5)-6*x)*ln((-x*exp(5)+3)/x)+(-x^3-x^2)*exp(5)+3*x^2)/((x*exp(5)-3)*ln(1/6*exp(x)*x)^2+((2*x*exp(5)-6)*ln((-x*exp(5)+3)/x)-2*x^3*exp(5)+6*x^2)*ln(1/6*exp(x)*x)+(x*exp(5)-3)*ln((-x*exp(5)+3)/x)^2+(-2*x^3*exp(5)+6*x^2)*ln((-x*exp(5)+3)/x)+x^5*exp(5)-3*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x^{2}}{2 i \pi  \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{5}-3\right)}{x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{5}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{5}-3\right)}{x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{5}-3\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{5}-3\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)+i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{5}-3\right)}{x}\right)^{3}-i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)+i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{5}-3\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)-2 i \pi +2 x^{2}+2 \ln \left(2\right)+2 \ln \left(3\right)-2 \ln \left(x \,{\mathrm e}^{5}-3\right)-2 \ln \left({\mathrm e}^{x}\right)}$&$239$\\ \hline \end{longtable}"," ",0,"-2*x^2/(2*I*Pi*csgn(I/x*(x*exp(5)-3))^2-I*Pi*csgn(I*(x*exp(5)-3))*csgn(I/x*(x*exp(5)-3))^2+I*Pi*csgn(I*(x*exp(5)-3))*csgn(I/x*(x*exp(5)-3))*csgn(I/x)+I*Pi*csgn(I*x*exp(x))*csgn(I*x)*csgn(I*exp(x))-I*Pi*csgn(I*x*exp(x))^2*csgn(I*x)-I*Pi*csgn(I/x*(x*exp(5)-3))^3-I*Pi*csgn(I*x*exp(x))^2*csgn(I*exp(x))+I*Pi*csgn(I*x*exp(x))^3-I*Pi*csgn(I/x*(x*exp(5)-3))^2*csgn(I/x)-2*I*Pi+2*x^2+2*ln(2)+2*ln(3)-2*ln(x*exp(5)-3)-2*ln(exp(x)))","C"
7491,1,27,21,0.110000," ","int(((18*exp(x+25)+27*x-9)*exp(3*x)+5*exp(x+25)^2+10*x*exp(x+25)+5*x^2)/(5*exp(x+25)^2+10*x*exp(x+25)+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}+x \,{\mathrm e}^{x} {\mathrm e}^{25}+\frac{9 \,{\mathrm e}^{3 x}}{5}}{{\mathrm e}^{x} {\mathrm e}^{25}+x}$&$27$\\ risch&${\mathrm e}^{75} {\mathrm e}^{-75} x +\frac{9 \,{\mathrm e}^{-75} x^{2}}{5}+\frac{9 \,{\mathrm e}^{-25+2 x}}{5}-\frac{9 x \,{\mathrm e}^{-50+x}}{5}-\frac{9 x^{3} {\mathrm e}^{-75}}{5 \left({\mathrm e}^{x +25}+x \right)}$&$45$\\ \hline \end{longtable}"," ",0,"(x^2+x*exp(x)*exp(25)+9/5*exp(x)^3)/(exp(x)*exp(25)+x)","A"
7492,1,25,22,0.063000," ","int(((16*x^2+96*x)*exp(x)+32*x+96)*exp(exp(x))/(2*ln(5)+I*Pi),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(16 x^{2}+96 x \right) {\mathrm e}^{{\mathrm e}^{x}}}{2 \ln \left(5\right)+i \pi}$&$25$\\ norman&$-\frac{96 \left(i \pi -2 \ln \left(5\right)\right) x \,{\mathrm e}^{{\mathrm e}^{x}}}{\pi^{2}+4 \ln \left(5\right)^{2}}-\frac{16 \left(i \pi -2 \ln \left(5\right)\right) x^{2} {\mathrm e}^{{\mathrm e}^{x}}}{\pi^{2}+4 \ln \left(5\right)^{2}}$&$58$\\ \hline \end{longtable}"," ",0,"1/(2*ln(5)+I*Pi)*(16*x^2+96*x)*exp(exp(x))","A"
7493,1,5,15,0.009000," ","int(-1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)$&$5$\\ norman&$-\ln \left(x \right)$&$5$\\ risch&$-\ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"-ln(x)","A"
7494,1,24,26,0.103000," ","int(((x-ln(x))*ln(-exp(4+exp(4))/(ln(x)-x))+(-12*x^2+19)*ln(x)+12*x^3-20*x+1)/(ln(x)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(x -\ln \left(x \right)\right)-4 x^{3}-x \,{\mathrm e}^{4}+15 x$&$24$\\ \hline \end{longtable}"," ",0,"x*ln(x-ln(x))-4*x^3-x*exp(4)+15*x","A"
7495,1,39,31,0.553000," ","int(((ln(5)*exp(-exp(5)+x)*ln(4*ln(2)^2)+5*ln(5)*exp(-exp(5)+x))*exp((exp(-exp(5)+x)*ln(4*ln(2)^2)+5*exp(-exp(5)+x))/(4*exp(-exp(5)+x)+ln(5)))+80*exp(-exp(5)+x)^2+40*ln(5)*exp(-exp(5)+x)+5*ln(5)^2)/(16*exp(-exp(5)+x)^2+8*ln(5)*exp(-exp(5)+x)+ln(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x +{\mathrm e}^{\frac{{\mathrm e}^{-{\mathrm e}^{5}+x} \left(5+2 \ln \left(2\right)+2 \ln \left(\ln \left(2\right)\right)\right)}{4 \,{\mathrm e}^{-{\mathrm e}^{5}+x}+\ln \left(5\right)}}$&$39$\\ norman&$\frac{\ln \left(5\right) {\mathrm e}^{\frac{{\mathrm e}^{-{\mathrm e}^{5}+x} \ln \left(4 \ln \left(2\right)^{2}\right)+5 \,{\mathrm e}^{-{\mathrm e}^{5}+x}}{4 \,{\mathrm e}^{-{\mathrm e}^{5}+x}+\ln \left(5\right)}}+20 x \,{\mathrm e}^{-{\mathrm e}^{5}+x}+5 x \ln \left(5\right)+4 \,{\mathrm e}^{-{\mathrm e}^{5}+x} {\mathrm e}^{\frac{{\mathrm e}^{-{\mathrm e}^{5}+x} \ln \left(4 \ln \left(2\right)^{2}\right)+5 \,{\mathrm e}^{-{\mathrm e}^{5}+x}}{4 \,{\mathrm e}^{-{\mathrm e}^{5}+x}+\ln \left(5\right)}}}{4 \,{\mathrm e}^{-{\mathrm e}^{5}+x}+\ln \left(5\right)}$&$126$\\ derivativedivides&$\text{Expression too large to display}$&$2274$\\ default&$\text{Expression too large to display}$&$2274$\\ \hline \end{longtable}"," ",0,"5*x+exp(exp(-exp(5)+x)*(5+2*ln(2)+2*ln(ln(2)))/(4*exp(-exp(5)+x)+ln(5)))","A"
7496,1,80,24,0.168000," ","int(((exp(x)*x+x)*ln(x)*ln(ln(x)^2)+((-6*x^2-3*x)*exp(x)-6*x^3+21*x^2+12*x)*ln(x)*ln(exp(x)+x-4)^2+(-2*exp(x)-2*x+8)*ln(exp(x)+x-4))/(3*exp(x)*x+3*x^2-12*x)/ln(x)/ln(exp(x)+x-4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-x -\frac{-i \pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}+4 \ln \left(\ln \left(x \right)\right)}{6 \ln \left({\mathrm e}^{x}+x -4\right)}$&$80$\\ \hline \end{longtable}"," ",0,"-x^2-x-1/6*(-I*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+2*I*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-I*Pi*csgn(I*ln(x)^2)^3+4*ln(ln(x)))/ln(exp(x)+x-4)","C"
7497,1,23,23,0.114000," ","int(((((-x^2-5*x)*exp(x)+x^2+5*x)*ln(1/x*(5+x))+(4*x^2+20*x)*exp(x)-4*x^2-20*x+5)*ln(x)+(5+x)*ln(1/x*(5+x))-4*x-20)/((x^2+5*x)*ln(1/x*(5+x))-4*x^2-20*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\ln \left(\ln \left(\frac{5+x}{x}\right)-4\right)+\ln \left(\ln \left(x \right)\right)-{\mathrm e}^{x}$&$23$\\ risch&$x -{\mathrm e}^{x}+\ln \left(\ln \left(x \right)\right)-\ln \left(\ln \left(5+x \right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(5+x \right)\right) \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(5+x \right)}{x}\right)^{3}-2 i \ln \left(x \right)-8 i\right)}{2}\right)$&$113$\\ \hline \end{longtable}"," ",0,"x-ln(ln(1/x*(5+x))-4)+ln(ln(x))-exp(x)","A"
7498,1,42,29,0.167000," ","int(((-110*x^4+430*x^3-645*x^2+430*x-105)*exp(x)-4840*x^5+20900*x^4-36120*x^3+31080*x^2-13230*x+2205)/((x^4-4*x^3+6*x^2-4*x+1)*exp(x)^2+(44*x^6-216*x^5+426*x^4-422*x^3+210*x^2-42*x)*exp(x)+484*x^8-2816*x^7+6868*x^6-8988*x^5+6657*x^4-2646*x^3+441*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{110 x^{2}-210 x +105}{\left(x -1\right) \left(22 x^{3}-42 x^{2}+{\mathrm e}^{x} x +21 x -{\mathrm e}^{x}\right)}$&$42$\\ norman&$\frac{110 x^{2}-210 x +105}{22 x^{4}+{\mathrm e}^{x} x^{2}-64 x^{3}-2 \,{\mathrm e}^{x} x +63 x^{2}+{\mathrm e}^{x}-21 x}$&$46$\\ \hline \end{longtable}"," ",0,"5*(22*x^2-42*x+21)/(x-1)/(22*x^3-42*x^2+exp(x)*x+21*x-exp(x))","A"
7499,1,98,20,10.514000," ","int((-160*ln(ln(-exp(4)^2))^3+4*(60*x+60)*ln(ln(-exp(4)^2))^2+2*(-60*x^2-120*x-60)*ln(ln(-exp(4)^2))+20*x^3+60*x^2+60*x+20)*exp(16*ln(ln(-exp(4)^2))^4+8*(-4*x-4)*ln(ln(-exp(4)^2))^3+4*(6*x^2+12*x+6)*ln(ln(-exp(4)^2))^2+2*(-4*x^3-12*x^2-12*x-4)*ln(ln(-exp(4)^2))+x^4+4*x^3+6*x^2+4*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$5 \,{\mathrm e}^{16 \ln \left(\ln \left(-{\mathrm e}^{8}\right)\right)^{4}+8 \left(-4 x -4\right) \ln \left(\ln \left(-{\mathrm e}^{8}\right)\right)^{3}+4 \left(6 x^{2}+12 x +6\right) \ln \left(\ln \left(-{\mathrm e}^{8}\right)\right)^{2}+2 \left(-4 x^{3}-12 x^{2}-12 x -4\right) \ln \left(\ln \left(-{\mathrm e}^{8}\right)\right)+x^{4}+4 x^{3}+6 x^{2}+4 x +1}$&$98$\\ risch&$5 \left(i \pi +8\right)^{-8 \left(x +1\right)^{3}} {\mathrm e}^{16 \ln \left(i \pi +8\right)^{4}-32 \ln \left(i \pi +8\right)^{3} x +24 \ln \left(i \pi +8\right)^{2} x^{2}+x^{4}-32 \ln \left(i \pi +8\right)^{3}+48 \ln \left(i \pi +8\right)^{2} x +4 x^{3}+24 \ln \left(i \pi +8\right)^{2}+6 x^{2}+4 x +1}$&$107$\\ gosper&$5 \,{\mathrm e}^{16 \ln \left(\ln \left(-{\mathrm e}^{8}\right)\right)^{4}-32 \ln \left(\ln \left(-{\mathrm e}^{8}\right)\right)^{3} x +24 \ln \left(\ln \left(-{\mathrm e}^{8}\right)\right)^{2} x^{2}-8 \ln \left(\ln \left(-{\mathrm e}^{8}\right)\right) x^{3}+x^{4}-32 \ln \left(\ln \left(-{\mathrm e}^{8}\right)\right)^{3}+48 \ln \left(\ln \left(-{\mathrm e}^{8}\right)\right)^{2} x -24 \ln \left(\ln \left(-{\mathrm e}^{8}\right)\right) x^{2}+4 x^{3}+24 \ln \left(\ln \left(-{\mathrm e}^{8}\right)\right)^{2}-24 \ln \left(\ln \left(-{\mathrm e}^{8}\right)\right) x +6 x^{2}-8 \ln \left(\ln \left(-{\mathrm e}^{8}\right)\right)+4 x +1}$&$146$\\ \hline \end{longtable}"," ",0,"5*exp(16*ln(ln(-exp(4)^2))^4+8*(-4*x-4)*ln(ln(-exp(4)^2))^3+4*(6*x^2+12*x+6)*ln(ln(-exp(4)^2))^2+2*(-4*x^3-12*x^2-12*x-4)*ln(ln(-exp(4)^2))+x^4+4*x^3+6*x^2+4*x+1)","B"
7500,1,45,24,0.179000," ","int(((-12*x^2+36*x+24)*ln(-x^2+4*x)-24*x^3+90*x^2-6*x-36)/(x^2-4*x)/exp(ln(-x^2+4*x)^2+1/4*(16*x-12)*ln(-x^2+4*x)+4*x^2-6*x+9/4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$3 \,{\mathrm e}^{-\ln \left(-x^{2}+4 x \right)^{2}+\left(16 x -12\right) \ln \left(\frac{1}{\left(-x^{2}+4 x \right)^{\frac{1}{4}}}\right)-4 x^{2}+6 x -\frac{9}{4}}$&$45$\\ risch&$3 \left(-x^{2}+4 x \right)^{3-4 x} {\mathrm e}^{-\ln \left(-x^{2}+4 x \right)^{2}-\frac{9}{4}-4 x^{2}+6 x}$&$45$\\ \hline \end{longtable}"," ",0,"3/exp(ln(-x^2+4*x)^2+1/4*(16*x-12)*ln(-x^2+4*x)+4*x^2-6*x+9/4)","A"
7501,1,32,29,0.037000," ","int((((8*x-28)*exp(x)^2+(x^4-7*x^3+7*x^2-80*x+280)*exp(x)-35*x^2+200*x-700)*ln(x)^2+((8*x-56)*exp(x)^2+(2*x^3-14*x^2-80*x+560)*exp(x)-10*x^3+70*x^2+200*x-1400)*ln(x))/(2048*exp(x)^2+(1024*x^2-20480)*exp(x)+128*x^4-5120*x^2+51200),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left({\mathrm e}^{x} x -5 x -7 \,{\mathrm e}^{x}+35\right) \ln \left(x \right)^{2}}{128 x^{2}+512 \,{\mathrm e}^{x}-2560}$&$32$\\ \hline \end{longtable}"," ",0,"1/128*x*(exp(x)*x-5*x-7*exp(x)+35)/(x^2+4*exp(x)-20)*ln(x)^2","A"
7502,1,74,23,0.241000," ","int((((x^2-3*x)*exp(x+21)-x^2+3*x)*exp(ln(x^2)^2)+(4*x-12)*ln(x-3)*ln(x^2)-x)/(x^2-3*x)/exp(ln(x^2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x +21}-x -\ln \left(x -3\right) {\mathrm e}^{-\frac{\left(-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 \ln \left(x \right)\right)^{2}}{4}}$&$74$\\ \hline \end{longtable}"," ",0,"exp(x+21)-x-ln(x-3)*exp(-1/4*(-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3+4*ln(x))^2)","C"
7503,1,19,18,0.031000," ","int(-2*exp(x)+(8*exp(25)-2)*exp(-4*x*exp(25)+x)+6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$6 x -2 \,{\mathrm e}^{x}-2 \,{\mathrm e}^{-4 x \,{\mathrm e}^{25}+x}$&$19$\\ risch&$6 x -2 \,{\mathrm e}^{x}-2 \,{\mathrm e}^{-x \left(4 \,{\mathrm e}^{25}-1\right)}$&$21$\\ default&$6 x +\frac{\left(8 \,{\mathrm e}^{25}-2\right) {\mathrm e}^{-4 x \,{\mathrm e}^{25}+x}}{-4 \,{\mathrm e}^{25}+1}-2 \,{\mathrm e}^{x}$&$32$\\ \hline \end{longtable}"," ",0,"6*x-2*exp(x)-2*exp(-4*x*exp(25)+x)","A"
7504,1,52,24,0.755000," ","int(((-x*exp(2)^2+6*exp(2)*x-27*x^2-9*x)*ln(1/81*(exp(2)^4-12*exp(2)^3+(54*x+54)*exp(2)^2+(-324*x-108)*exp(2)+729*x^2+486*x+81)/x^2)^2+(-4*exp(2)^2+24*exp(2)-36)*ln(1/81*(exp(2)^4-12*exp(2)^3+(54*x+54)*exp(2)^2+(-324*x-108)*exp(2)+729*x^2+486*x+81)/x^2))/(x*exp(2)^2-6*exp(2)*x+27*x^2+9*x)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{{\mathrm e}^{8}-12 \,{\mathrm e}^{6}+\left(54 x +54\right) {\mathrm e}^{4}+\left(-324 x -108\right) {\mathrm e}^{2}+729 x^{2}+486 x +81}{81 x^{2}}\right)^{2} {\mathrm e}^{-x}$&$52$\\ risch&$\text{Expression too large to display}$&$3672$\\ \hline \end{longtable}"," ",0,"ln(1/81*(exp(2)^4-12*exp(2)^3+(54*x+54)*exp(2)^2+(-324*x-108)*exp(2)+729*x^2+486*x+81)/x^2)^2/exp(x)","B"
7505,1,48,20,0.132000," ","int(1/8*(4*(x^2+x)*ln(2)^2*exp(x)^2+2*(4*x^3+8*x^2+4*x+12)*ln(2)*exp(x)+32*x^3-48*x^2+112*x-48)*exp(1/4*x^2*ln(2)^2*exp(x)^2+1/8*(8*x^3-8*x^2+24*x)*ln(2)*exp(x)+x^4-2*x^3+7*x^2-6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2^{x \left(x^{2}-x +3\right) {\mathrm e}^{x}} {\mathrm e}^{\frac{x^{2} \ln \left(2\right)^{2} {\mathrm e}^{2 x}}{4}+9+x^{4}-2 x^{3}+7 x^{2}-6 x}$&$48$\\ norman&${\mathrm e}^{\frac{x^{2} \ln \left(2\right)^{2} {\mathrm e}^{2 x}}{4}+\frac{\left(8 x^{3}-8 x^{2}+24 x \right) \ln \left(2\right) {\mathrm e}^{x}}{8}+x^{4}-2 x^{3}+7 x^{2}-6 x +9}$&$53$\\ \hline \end{longtable}"," ",0,"2^(x*(x^2-x+3)*exp(x))*exp(1/4*x^2*ln(2)^2*exp(2*x)+9+x^4-2*x^3+7*x^2-6*x)","B"
7506,1,27,19,0.184000," ","int(((2*exp(1)+8*x+32)*ln(1/4*exp(1)+x+4)^3+36*x*ln(1/4*exp(1)+x+4)-9*x)/(2*x*exp(1)+8*x^2+32*x)/ln(1/4*exp(1)+x+4)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{9}{16}-\frac{9 \ln \left(\frac{{\mathrm e}}{4}+x +4\right)}{2}}{\ln \left(\frac{{\mathrm e}}{4}+x +4\right)^{2}}+\ln \left(x \right)$&$27$\\ risch&$\ln \left(x \right)-\frac{9 \left(-1+8 \ln \left(\frac{{\mathrm e}}{4}+x +4\right)\right)}{16 \ln \left(\frac{{\mathrm e}}{4}+x +4\right)^{2}}$&$28$\\ derivativedivides&$\ln \left(-4 x \right)+\frac{9}{16 \ln \left(\frac{{\mathrm e}}{4}+x +4\right)^{2}}-\frac{9}{2 \ln \left(\frac{{\mathrm e}}{4}+x +4\right)}$&$30$\\ default&$\ln \left(-4 x \right)+\frac{9}{16 \ln \left(\frac{{\mathrm e}}{4}+x +4\right)^{2}}-\frac{9}{2 \ln \left(\frac{{\mathrm e}}{4}+x +4\right)}$&$30$\\ \hline \end{longtable}"," ",0,"(9/16-9/2*ln(1/4*exp(1)+x+4))/ln(1/4*exp(1)+x+4)^2+ln(x)","A"
7507,1,24,25,0.095000," ","int(((-12*x-2)*exp(6*x)+(2*x+2)*exp(x)+8*x-4)*exp(-x*exp(6*x)+exp(x)*x+2*x^2-2*x)*exp(exp(-x*exp(6*x)+exp(x)*x+2*x^2-2*x))-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{{\mathrm e}^{x \left({\mathrm e}^{x}-{\mathrm e}^{6 x}+2 x -2\right)}}-x$&$24$\\ \hline \end{longtable}"," ",0,"2*exp(exp(x*(exp(x)-exp(6*x)+2*x-2)))-x","A"
7508,1,24,21,0.027000," ","int((((32*x^4+60*x^3+284*x^2+224*x)*ln(x)-16*x^4-44*x^3-148*x^2-216*x+64)*ln(x^2+x+8)+(32*x^4+72*x^3+12*x^2-8*x)*ln(x))/(x^3+x^2+8*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \left(4 x^{2}+7 x -2\right) \ln \left(x^{2}+x +8\right)}{\ln \left(x \right)}$&$24$\\ \hline \end{longtable}"," ",0,"4*(4*x^2+7*x-2)/ln(x)*ln(x^2+x+8)","A"
7509,1,41,39,0.051000," ","int(((15000*exp(x)*x-15000*x-15000)*exp(exp(x)-2-x)^2+(15000*exp(x)*x^2+30000*x^3-15000*x^2-15000*x)*exp(x^2)*exp(exp(x)-2-x)+30000*x^4*exp(x^2)^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$7500 \,{\mathrm e}^{2 x^{2}}+\frac{7500 \,{\mathrm e}^{2 \,{\mathrm e}^{x}-4-2 x}}{x^{2}}+\frac{15000 \,{\mathrm e}^{x^{2}+{\mathrm e}^{x}-2-x}}{x}$&$41$\\ \hline \end{longtable}"," ",0,"7500*exp(2*x^2)+7500/x^2*exp(2*exp(x)-4-2*x)+15000/x*exp(x^2+exp(x)-2-x)","A"
7510,1,9,11,0.006000," ","int(45*ln(2)+225,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(45 \ln \left(2\right)+225\right) x$&$9$\\ norman&$\left(45 \ln \left(2\right)+225\right) x$&$9$\\ risch&$45 x \ln \left(2\right)+225 x$&$10$\\ \hline \end{longtable}"," ",0,"(45*ln(2)+225)*x","A"
7511,1,26,22,0.043000," ","int((-32*ln(5)*exp(x)^2*ln(6*x)-16*ln(5)*exp(x)^2+(12*x^3-48*x^2)*ln(5)*exp(x))/(16*x^3*exp(x)^2*ln(6*x)^2+24*x^5*exp(x)*ln(6*x)+9*x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \ln \left(5\right) {\mathrm e}^{x}}{x^{2} \left(4 \,{\mathrm e}^{x} \ln \left(6 x \right)+3 x^{2}\right)}$&$26$\\ \hline \end{longtable}"," ",0,"4/x^2*ln(5)*exp(x)/(4*exp(x)*ln(6*x)+3*x^2)","A"
7512,1,38,25,0.297000," ","int((((-2*x^3+4*x^2-2*x)*exp(x)*ln(x-1)^2+(4*x^3-8*x^2+4*x)*exp(4/(x-1))*exp(x)*ln(x-1)+(-2*x^3+4*x^2-2*x)*exp(4/(x-1))^2*exp(x))*exp(exp(x))+(x^2-2*x+1)*ln(x-1)^2+((-2*x^2+12*x-2)*exp(4/(x-1))+2*x^2-2*x)*ln(x-1)+(x^2-10*x+1)*exp(4/(x-1))^2+(-2*x^2+2*x)*exp(4/(x-1)))/(x^2-2*x+1)/exp(exp(exp(x)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{\frac{8}{x -1}}-2 \,{\mathrm e}^{\frac{4}{x -1}} \ln \left(x -1\right)+\ln \left(x -1\right)^{2}\right) x \,{\mathrm e}^{-2 \,{\mathrm e}^{{\mathrm e}^{x}}}$&$38$\\ \hline \end{longtable}"," ",0,"(exp(8/(x-1))-2*exp(4/(x-1))*ln(x-1)+ln(x-1)^2)*x*exp(-2*exp(exp(x)))","A"
7513,1,17,16,0.136000," ","int((((2*x+4)*ln(2+x)+x^2+2*x)*ln(-x/(2*ln(2+x)+x))+(2*x+4)*ln(2+x)-2*x)/((2*x+4)*ln(2+x)+x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(-\frac{x}{2 \ln \left(2+x \right)+x}\right) x$&$17$\\ risch&$-x \ln \left(2 \ln \left(2+x \right)+x \right)+x \ln \left(x \right)+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{2 \ln \left(2+x \right)+x}\right) \mathrm{csgn}\left(\frac{i x}{2 \ln \left(2+x \right)+x}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{2 \ln \left(2+x \right)+x}\right) \mathrm{csgn}\left(\frac{i x}{2 \ln \left(2+x \right)+x}\right) \mathrm{csgn}\left(i x \right)}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i x}{2 \ln \left(2+x \right)+x}\right)^{3}}{2}-i \pi  x \mathrm{csgn}\left(\frac{i x}{2 \ln \left(2+x \right)+x}\right)^{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i x}{2 \ln \left(2+x \right)+x}\right)^{2} \mathrm{csgn}\left(i x \right)}{2}+i \pi  x$&$169$\\ \hline \end{longtable}"," ",0,"ln(-x/(2*ln(2+x)+x))*x","A"
7514,1,26,24,0.158000," ","int(1/5*((-3*ln(x^2*ln(14/5)+8*x^2)+6)*exp(1/5*ln(x^2*ln(14/5)+8*x^2)/x)-5*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +3 \,{\mathrm e}^{\frac{\ln \left(x^{2} \ln \left(\frac{14}{5}\right)+8 x^{2}\right)}{5 x}}$&$26$\\ risch&$-x +3 \left(x^{2} \left(\ln \left(2\right)+\ln \left(7\right)-\ln \left(5\right)\right)+8 x^{2}\right)^{\frac{1}{5 x}}$&$32$\\ \hline \end{longtable}"," ",0,"-x+3*exp(1/5*ln(x^2*ln(14/5)+8*x^2)/x)","A"
7515,1,10,16,0.011000," ","int(10*x-9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$5 x^{2}-9 x$&$10$\\ default&$5 x^{2}-9 x$&$10$\\ norman&$5 x^{2}-9 x$&$10$\\ risch&$5 x^{2}-9 x$&$10$\\ \hline \end{longtable}"," ",0,"5*x^2-9*x","A"
7516,1,23,27,0.062000," ","int(((-8*x^3-24*x^2-160)*ln((x^3+3*x^2+20)/x^2)+16*x^3+24*x^2-160)/((x^3+3*x^2+20)*ln((x^3+3*x^2+20)/x^2)^2+(-2*x^3-6*x^2-40)*ln((x^3+3*x^2+20)/x^2)+x^3+3*x^2+20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{8 x}{\ln \left(\frac{x^{3}+3 x^{2}+20}{x^{2}}\right)-1}$&$23$\\ risch&$-\frac{8 x}{\ln \left(\frac{x^{3}+3 x^{2}+20}{x^{2}}\right)-1}$&$23$\\ \hline \end{longtable}"," ",0,"-8*x/(ln((x^3+3*x^2+20)/x^2)-1)","A"
7517,1,19,18,0.063000," ","int((-ln(3/exp(-exp(x+1)-4))+x*exp(x+1))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(3 \,{\mathrm e}^{{\mathrm e}^{x +1}+4}\right)}{x}$&$19$\\ risch&$-\frac{\ln \left({\mathrm e}^{-{\mathrm e}^{x +1}-4}\right)}{x}+\frac{\ln \left(3\right)}{x}$&$23$\\ \hline \end{longtable}"," ",0,"ln(3/exp(-exp(x+1)-4))/x","A"
7518,1,47,19,0.176000," ","int(((3*x*ln(3)+2*x^2)*exp(x/ln(3))+(3*x-5)*ln(3))*(-5*x*exp(x/ln(3))-5*x+25)^2/(x*ln(3)*exp(x/ln(3))+(x-5)*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 \,{\mathrm e}^{\frac{2 x}{\ln \left(3\right)}} x^{3}+25 x^{3}-250 x^{2}+625 x +\left(50 x^{3}-250 x^{2}\right) {\mathrm e}^{\frac{x}{\ln \left(3\right)}}$&$47$\\ norman&$625 x -250 x^{2}+25 x^{3}-250 x^{2} {\mathrm e}^{\frac{x}{\ln \left(3\right)}}+50 \,{\mathrm e}^{\frac{x}{\ln \left(3\right)}} x^{3}+25 \,{\mathrm e}^{\frac{2 x}{\ln \left(3\right)}} x^{3}$&$53$\\ \hline \end{longtable}"," ",0,"25*exp(2*x/ln(3))*x^3+25*x^3-250*x^2+625*x+(50*x^3-250*x^2)*exp(x/ln(3))","B"
7519,1,14,16,0.030000," ","int(4*x*exp(2*x^2)-exp(16)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{2 x^{2}}-{\mathrm e}^{16} {\mathrm e}^{x}$&$14$\\ norman&${\mathrm e}^{2 x^{2}}-{\mathrm e}^{16} {\mathrm e}^{x}$&$14$\\ risch&${\mathrm e}^{2 x^{2}}-{\mathrm e}^{x +16}$&$14$\\ meijerg&$-1+{\mathrm e}^{2 x^{2}}+{\mathrm e}^{16} \left(1-{\mathrm e}^{x}\right)$&$18$\\ \hline \end{longtable}"," ",0,"exp(2*x^2)-exp(16)*exp(x)","A"
7520,1,100,16,0.373000," ","int(((-2*ln(-exp(2+x))+4)*ln(ln(-exp(2+x))^2)+2*x*ln(-exp(2+x))-4*x)/ln(-exp(2+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(\ln \left(-{\mathrm e}^{2+x}\right)^{2}\right) \ln \left(-{\mathrm e}^{2+x}\right)+4 \ln \left(-{\mathrm e}^{2+x}\right)+4 \ln \left(\ln \left(-{\mathrm e}^{2+x}\right)\right) \ln \left(\ln \left(-{\mathrm e}^{2+x}\right)^{2}\right)-4 \ln \left(\ln \left(-{\mathrm e}^{2+x}\right)\right)^{2}+x^{2}-4 x +4 \ln \left(\ln \left(-{\mathrm e}^{2+x}\right)\right) \left(\ln \left(-{\mathrm e}^{2+x}\right)-2-x \right)+8 \ln \left(\ln \left(-{\mathrm e}^{2+x}\right)\right)$&$100$\\ \hline \end{longtable}"," ",0,"-2*ln(ln(-exp(2+x))^2)*ln(-exp(2+x))+4*ln(-exp(2+x))+4*ln(ln(-exp(2+x)))*ln(ln(-exp(2+x))^2)-4*ln(ln(-exp(2+x)))^2+x^2-4*x+4*ln(ln(-exp(2+x)))*(ln(-exp(2+x))-2-x)+8*ln(ln(-exp(2+x)))","B"
7521,1,26,32,0.257000," ","int((((2*x^3-6*x^2)*ln(2)+10*x^3-30*x^2-x+3)*ln(x^2-6*x+9)-2*x)/(x^2-3*x)/ln(x^2-6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\ln \left(2\right)+5\right) x^{2}-\ln \left(x \right)-\ln \left(\ln \left(x^{2}-6 x +9\right)\right)$&$26$\\ default&$5 x^{2}-\ln \left(x \right)+x^{2} \ln \left(2\right)-\ln \left(\ln \left(x^{2}-6 x +9\right)\right)$&$29$\\ risch&$5 x^{2}-\ln \left(x \right)+x^{2} \ln \left(2\right)-\ln \left(\ln \left(x^{2}-6 x +9\right)\right)$&$29$\\ \hline \end{longtable}"," ",0,"(ln(2)+5)*x^2-ln(x)-ln(ln(x^2-6*x+9))","A"
7522,1,22,21,0.039000," ","int((ln(-1/4*x/ln(2))*ln(x*ln(-1/4*x/ln(2)))+ln(-1/4*x/ln(2))+1)/x/ln(-1/4*x/ln(2))/ln(x*ln(-1/4*x/ln(2))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(-\frac{x}{4 \ln \left(2\right)}\right)+\ln \left(\ln \left(x \ln \left(-\frac{x}{4 \ln \left(2\right)}\right)\right)\right)$&$22$\\ \hline \end{longtable}"," ",0,"ln(-1/4*x/ln(2))+ln(ln(x*ln(-1/4*x/ln(2))))","A"
7523,1,18,17,0.326000," ","int(-4*exp(-4/((2*exp(3)-4)*ln(5)-x*exp(3)+2*x))/((4*exp(3)-8)*ln(5)^2+(-4*x*exp(3)+8*x)*ln(5)+x^2*exp(3)-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{\frac{4}{\left(x -2 \ln \left(5\right)\right) \left({\mathrm e}^{3}-2\right)}}$&$18$\\ default&${\mathrm e}^{\frac{4}{\left(x -2 \ln \left(5\right)\right) \left({\mathrm e}^{3}-2\right)}}$&$18$\\ risch&${\mathrm e}^{-\frac{4}{\left(2 \ln \left(5\right)-x \right) \left({\mathrm e}^{3}-2\right)}}$&$20$\\ gosper&${\mathrm e}^{-\frac{4}{2 \,{\mathrm e}^{3} \ln \left(5\right)-x \,{\mathrm e}^{3}-4 \ln \left(5\right)+2 x}}$&$25$\\ norman&$\frac{-x \,{\mathrm e}^{-\frac{4}{\left(2 \,{\mathrm e}^{3}-4\right) \ln \left(5\right)-x \,{\mathrm e}^{3}+2 x}}+2 \ln \left(5\right) {\mathrm e}^{-\frac{4}{\left(2 \,{\mathrm e}^{3}-4\right) \ln \left(5\right)-x \,{\mathrm e}^{3}+2 x}}}{2 \ln \left(5\right)-x}$&$66$\\ \hline \end{longtable}"," ",0,"exp(4/(x-2*ln(5))/(exp(3)-2))","A"
7524,1,13,14,0.031000," ","int(-exp(ln(20)+2)+9*x^8-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{9}+\left(-20 \,{\mathrm e}^{2}-1\right) x$&$13$\\ risch&$-20 \,{\mathrm e}^{2} x +x^{9}-x$&$13$\\ gosper&$-x \left(-x^{8}+{\mathrm e}^{\ln \left(20\right)+2}+1\right)$&$16$\\ default&$-{\mathrm e}^{\ln \left(20\right)+2} x +x^{9}-x$&$16$\\ \hline \end{longtable}"," ",0,"x^9+(-20*exp(2)-1)*x","A"
7525,1,30,30,0.265000," ","int((((-4*x^4+12*x^3+15*x^2+4*x)*exp(x^2+2*x)^2+6*x^2-24*x)*exp(ln(x-4)/x)^2+((x-4)*exp(x)*ln(x-4)+(-8*x^5+24*x^4+30*x^3+8*x^2)*exp(x^2+2*x)^2+(x^3-3*x^2-5*x)*exp(x)+12*x^3-48*x^2)*exp(ln(x-4)/x)+(-4*x^6+12*x^5+15*x^4+4*x^3)*exp(x^2+2*x)^2+(x^4-4*x^3)*exp(x)+6*x^4-24*x^3)/((x^2-4*x)*exp(ln(x-4)/x)^2+(2*x^3-8*x^2)*exp(ln(x-4)/x)+x^4-4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{2 x \left(2+x \right)}+6 x +\frac{{\mathrm e}^{x} x}{\left(x -4\right)^{\frac{1}{x}}+x}$&$30$\\ \hline \end{longtable}"," ",0,"-x*exp(2*x*(2+x))+6*x+exp(x)*x/((x-4)^(1/x)+x)","A"
7526,1,28,24,0.050000," ","int((((-5*x^2+15*x)*exp(x)^2+(5*x^3-15*x^2)*exp(x))*exp(exp(x))+(5*x^2-5*x-15)*exp(x)-15*x^2+30*x)*exp(exp(exp(x)))/((x^4-6*x^3+9*x^2)*exp(x)^2+(-2*x^5+12*x^4-18*x^3)*exp(x)+x^6-6*x^5+9*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}}{x \left(x^{2}-{\mathrm e}^{x} x -3 x +3 \,{\mathrm e}^{x}\right)}$&$28$\\ \hline \end{longtable}"," ",0,"5/x/(x^2-exp(x)*x-3*x+3*exp(x))*exp(exp(exp(x)))","A"
7527,1,476,25,0.168000," ","int(((-2*x^2+8*x+5)*ln(5)+(-2*x^2+8*x+5)*exp(4)^2)/((3*x^2-15*x)*ln((-x^2+5*x)*exp(5+x))^2+(6*x^3-30*x^2)*ln((-x^2+5*x)*exp(5+x))+3*x^4-15*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 i \ln \left(5\right)}{3 \left(\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{5+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{5+x} \left(x -5\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{5+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{5+x} \left(x -5\right)\right) \mathrm{csgn}\left(i \left(x -5\right)\right)-\pi  \mathrm{csgn}\left(i {\mathrm e}^{5+x} \left(x -5\right)\right)^{3}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{5+x} \left(x -5\right)\right)^{2} \mathrm{csgn}\left(i \left(x -5\right)\right)+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{5+x} \left(x -5\right)\right) \mathrm{csgn}\left(i x \left(x -5\right) {\mathrm e}^{5+x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{5+x} \left(x -5\right)\right) \mathrm{csgn}\left(i x \left(x -5\right) {\mathrm e}^{5+x}\right) \mathrm{csgn}\left(i x \right)+\pi  \mathrm{csgn}\left(i x \left(x -5\right) {\mathrm e}^{5+x}\right)^{3}-2 \pi  \mathrm{csgn}\left(i x \left(x -5\right) {\mathrm e}^{5+x}\right)^{2}+\pi  \mathrm{csgn}\left(i x \left(x -5\right) {\mathrm e}^{5+x}\right)^{2} \mathrm{csgn}\left(i x \right)+2 \pi -2 i \ln \left({\mathrm e}^{5+x}\right)-2 i x -2 i \ln \left(x -5\right)-2 i \ln \left(x \right)\right)}-\frac{2 i {\mathrm e}^{8}}{3 \left(\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{5+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{5+x} \left(x -5\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{5+x}\right) \mathrm{csgn}\left(i {\mathrm e}^{5+x} \left(x -5\right)\right) \mathrm{csgn}\left(i \left(x -5\right)\right)-\pi  \mathrm{csgn}\left(i {\mathrm e}^{5+x} \left(x -5\right)\right)^{3}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{5+x} \left(x -5\right)\right)^{2} \mathrm{csgn}\left(i \left(x -5\right)\right)+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{5+x} \left(x -5\right)\right) \mathrm{csgn}\left(i x \left(x -5\right) {\mathrm e}^{5+x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{5+x} \left(x -5\right)\right) \mathrm{csgn}\left(i x \left(x -5\right) {\mathrm e}^{5+x}\right) \mathrm{csgn}\left(i x \right)+\pi  \mathrm{csgn}\left(i x \left(x -5\right) {\mathrm e}^{5+x}\right)^{3}-2 \pi  \mathrm{csgn}\left(i x \left(x -5\right) {\mathrm e}^{5+x}\right)^{2}+\pi  \mathrm{csgn}\left(i x \left(x -5\right) {\mathrm e}^{5+x}\right)^{2} \mathrm{csgn}\left(i x \right)+2 \pi -2 i \ln \left({\mathrm e}^{5+x}\right)-2 i x -2 i \ln \left(x -5\right)-2 i \ln \left(x \right)\right)}$&$476$\\ \hline \end{longtable}"," ",0,"-2/3*I/(Pi*csgn(I*exp(5+x))*csgn(I*exp(5+x)*(x-5))^2-Pi*csgn(I*exp(5+x))*csgn(I*exp(5+x)*(x-5))*csgn(I*(x-5))-Pi*csgn(I*exp(5+x)*(x-5))^3+Pi*csgn(I*exp(5+x)*(x-5))^2*csgn(I*(x-5))+Pi*csgn(I*exp(5+x)*(x-5))*csgn(I*x*(x-5)*exp(5+x))^2-Pi*csgn(I*exp(5+x)*(x-5))*csgn(I*x*(x-5)*exp(5+x))*csgn(I*x)+Pi*csgn(I*x*(x-5)*exp(5+x))^3-2*Pi*csgn(I*x*(x-5)*exp(5+x))^2+Pi*csgn(I*x*(x-5)*exp(5+x))^2*csgn(I*x)+2*Pi-2*I*ln(exp(5+x))-2*I*x-2*I*ln(x-5)-2*I*ln(x))*ln(5)-2/3*I/(Pi*csgn(I*exp(5+x))*csgn(I*exp(5+x)*(x-5))^2-Pi*csgn(I*exp(5+x))*csgn(I*exp(5+x)*(x-5))*csgn(I*(x-5))-Pi*csgn(I*exp(5+x)*(x-5))^3+Pi*csgn(I*exp(5+x)*(x-5))^2*csgn(I*(x-5))+Pi*csgn(I*exp(5+x)*(x-5))*csgn(I*x*(x-5)*exp(5+x))^2-Pi*csgn(I*exp(5+x)*(x-5))*csgn(I*x*(x-5)*exp(5+x))*csgn(I*x)+Pi*csgn(I*x*(x-5)*exp(5+x))^3-2*Pi*csgn(I*x*(x-5)*exp(5+x))^2+Pi*csgn(I*x*(x-5)*exp(5+x))^2*csgn(I*x)+2*Pi-2*I*ln(exp(5+x))-2*I*x-2*I*ln(x-5)-2*I*ln(x))*exp(8)","C"
7528,1,24,21,1.171000," ","int(((32*x^4+2688*x^3+75104*x^2+697984*x)*exp((16*x^2+896*x+12544)/(x^4+56*x^3+794*x^2+280*x+25))+x^6+84*x^5+2367*x^4+22792*x^3+11835*x^2+2100*x+125)/(x^7+84*x^6+2367*x^5+22792*x^4+11835*x^3+2100*x^2+125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-{\mathrm e}^{\frac{16 \left(x +28\right)^{2}}{\left(x^{2}+28 x +5\right)^{2}}}$&$24$\\ norman&$\frac{-280 x \,{\mathrm e}^{\frac{16 x^{2}+896 x +12544}{x^{4}+56 x^{3}+794 x^{2}+280 x +25}}-794 x^{2} {\mathrm e}^{\frac{16 x^{2}+896 x +12544}{x^{4}+56 x^{3}+794 x^{2}+280 x +25}}-56 x^{3} {\mathrm e}^{\frac{16 x^{2}+896 x +12544}{x^{4}+56 x^{3}+794 x^{2}+280 x +25}}-x^{4} {\mathrm e}^{\frac{16 x^{2}+896 x +12544}{x^{4}+56 x^{3}+794 x^{2}+280 x +25}}-25 \,{\mathrm e}^{\frac{16 x^{2}+896 x +12544}{x^{4}+56 x^{3}+794 x^{2}+280 x +25}}}{\left(x^{2}+28 x +5\right)^{2}}+\ln \left(x \right)$&$196$\\ \hline \end{longtable}"," ",0,"ln(x)-exp(16*(x+28)^2/(x^2+28*x+5)^2)","A"
7529,1,24,23,0.029000," ","int((((-2*x-4)*exp(2)+1)*exp(x)+(x-1)*exp(1)*exp(2)^2*exp(4))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} {\mathrm e}^{2}-4 \,{\mathrm e}^{2} x +x -x \,{\mathrm e}^{9-x}$&$24$\\ norman&$\left(\left(-4 \,{\mathrm e}^{2}+1\right) x \,{\mathrm e}^{x}-x^{2} {\mathrm e}^{2} {\mathrm e}^{x}-{\mathrm e} \left({\mathrm e}^{4}\right)^{2} x \right) {\mathrm e}^{-x}$&$37$\\ default&$x +{\mathrm e} \left({\mathrm e}^{4}\right)^{2} \left(-x \,{\mathrm e}^{-x}-{\mathrm e}^{-x}\right)-x^{2} {\mathrm e}^{2}+{\mathrm e}^{-x} {\mathrm e} \left({\mathrm e}^{4}\right)^{2}-4 \,{\mathrm e}^{2} x$&$51$\\ \hline \end{longtable}"," ",0,"-x^2*exp(2)-4*exp(2)*x+x-x*exp(9-x)","A"
7530,1,26,24,0.048000," ","int((-4*x^9+200*x^7-41*x^6-2500*x^5+1075*x^4-120*x^3)*ln(3)/(x^6-50*x^4+10*x^3+625*x^2-250*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x^{4} \left(x^{3}-25 x +6\right) \ln \left(3\right)}{x^{3}-25 x +5}$&$26$\\ default&$\ln \left(3\right) \left(-x^{4}-x +\frac{-25 x^{2}+5 x}{x^{3}-25 x +5}\right)$&$32$\\ norman&$\frac{-6 x^{4} \ln \left(3\right)+25 x^{5} \ln \left(3\right)-\ln \left(3\right) x^{7}}{x^{3}-25 x +5}$&$34$\\ risch&$-x^{4} \ln \left(3\right)-x \ln \left(3\right)+\frac{\ln \left(3\right) \left(-25 x^{2}+5 x \right)}{x^{3}-25 x +5}$&$36$\\ \hline \end{longtable}"," ",0,"-x^4*(x^3-25*x+6)*ln(3)/(x^3-25*x+5)","A"
7531,1,14,16,0.043000," ","int(-4/3*exp(3)/x^2/exp((14*x-3)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-\frac{11 x -3}{x}}}{9}$&$14$\\ derivativedivides&$\frac{4 \,{\mathrm e}^{3} {\mathrm e}^{-14+\frac{3}{x}}}{9}$&$15$\\ default&$\frac{4 \,{\mathrm e}^{3} {\mathrm e}^{-14+\frac{3}{x}}}{9}$&$15$\\ gosper&$\frac{4 \,{\mathrm e}^{3} {\mathrm e}^{-\frac{14 x -3}{x}}}{9}$&$17$\\ norman&$\frac{4 \,{\mathrm e}^{3} {\mathrm e}^{-\frac{14 x -3}{x}}}{9}$&$17$\\ \hline \end{longtable}"," ",0,"4/9*exp(-(11*x-3)/x)","A"
7532,1,13,8,0.082000," ","int((exp(x)*x^2-1)/(exp(x)*x^2+x)/ln((exp(x)*x+1)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(\frac{{\mathrm e}^{x} x +1}{x}\right)\right)$&$13$\\ risch&$\ln \left(\ln \left({\mathrm e}^{x} x +1\right)+\frac{i \left(\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x} x +1\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x +1\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x} x +1\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x +1\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)-\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x +1\right)}{x}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x +1\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+2 i \ln \left(x \right)\right)}{2}\right)$&$121$\\ \hline \end{longtable}"," ",0,"ln(ln((exp(x)*x+1)/x))","A"
7533,1,43,16,0.039000," ","int(1/5*(216*x^16-1440*x^14+4032*x^12-6048*x^10+5040*x^8-2016*x^6+288*x^2-72)*exp(2)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{18 \,{\mathrm e}^{2} \left(x^{16}-8 x^{14}+28 x^{12}-56 x^{10}+70 x^{8}-56 x^{6}-8 x^{2}+1\right)}{5 x^{4}}$&$43$\\ default&$\frac{72 \,{\mathrm e}^{2} \left(\frac{x^{12}}{4}-2 x^{10}+7 x^{8}-14 x^{6}+\frac{35 x^{4}}{2}-14 x^{2}+\frac{1}{4 x^{4}}-\frac{2}{x^{2}}\right)}{5}$&$46$\\ risch&$\frac{18 \,{\mathrm e}^{2} x^{12}}{5}-\frac{144 \,{\mathrm e}^{2} x^{10}}{5}+\frac{504 x^{8} {\mathrm e}^{2}}{5}-\frac{1008 x^{6} {\mathrm e}^{2}}{5}+252 x^{4} {\mathrm e}^{2}-\frac{1008 x^{2} {\mathrm e}^{2}}{5}+\frac{{\mathrm e}^{2} \left(-144 x^{2}+18\right)}{5 x^{4}}$&$58$\\ norman&$\frac{-\frac{144 x^{2} {\mathrm e}^{2}}{5}-\frac{1008 x^{6} {\mathrm e}^{2}}{5}+252 x^{8} {\mathrm e}^{2}-\frac{1008 \,{\mathrm e}^{2} x^{10}}{5}+\frac{504 \,{\mathrm e}^{2} x^{12}}{5}-\frac{144 \,{\mathrm e}^{2} x^{14}}{5}+\frac{18 \,{\mathrm e}^{2} x^{16}}{5}+\frac{18 \,{\mathrm e}^{2}}{5}}{x^{4}}$&$59$\\ \hline \end{longtable}"," ",0,"18/5*exp(2)*(x^16-8*x^14+28*x^12-56*x^10+70*x^8-56*x^6-8*x^2+1)/x^4","B"
7534,1,16,14,0.243000," ","int((-ln(3)^2-2)/(x*ln(3)^2-x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)+\ln \left(\ln \left(3\right)^{2}-x +2\right)$&$16$\\ default&$\left(-\ln \left(3\right)^{2}-2\right) \left(\frac{\ln \left(x \right)}{2+\ln \left(3\right)^{2}}-\frac{\ln \left(-\ln \left(3\right)^{2}+x -2\right)}{2+\ln \left(3\right)^{2}}\right)$&$42$\\ risch&$-\frac{\ln \left(x \right) \ln \left(3\right)^{2}}{2+\ln \left(3\right)^{2}}-\frac{2 \ln \left(x \right)}{2+\ln \left(3\right)^{2}}+\frac{\ln \left(-\ln \left(3\right)^{2}+x -2\right) \ln \left(3\right)^{2}}{2+\ln \left(3\right)^{2}}+\frac{2 \ln \left(-\ln \left(3\right)^{2}+x -2\right)}{2+\ln \left(3\right)^{2}}$&$73$\\ meijerg&$\frac{\ln \left(3\right)^{2} \left(-\ln \left(3\right)^{2}-2\right) \left(\ln \left(x \right)-\ln \left(2+\ln \left(3\right)^{2}\right)+i \pi -\ln \left(1-\frac{x}{2+\ln \left(3\right)^{2}}\right)\right)}{\left(2+\ln \left(3\right)^{2}\right)^{2}}+\frac{2 \left(-\ln \left(3\right)^{2}-2\right) \left(\ln \left(x \right)-\ln \left(2+\ln \left(3\right)^{2}\right)+i \pi -\ln \left(1-\frac{x}{2+\ln \left(3\right)^{2}}\right)\right)}{\left(2+\ln \left(3\right)^{2}\right)^{2}}$&$105$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(ln(3)^2-x+2)","A"
7535,1,43,30,0.066000," ","int(((-2*x^3+16*x^2-32*x)*ln(5*x^2)-76*x^3+864*x^2-3264*x)/((x^6-8*x^5+16*x^4)*ln(5*x^2)^2+(74*x^6-1104*x^5+3236*x^4-32*x^3+64*x^2)*ln(5*x^2)+1369*x^6-29896*x^5+163364*x^4-2208*x^3+6468*x^2-32*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x -4}{x^{3} \ln \left(5 x^{2}\right)-4 \ln \left(5 x^{2}\right) x^{2}+37 x^{3}-404 x^{2}+2 x -8}$&$43$\\ norman&$\frac{202 x^{2}-\frac{37 x^{3}}{2}+2 \ln \left(5 x^{2}\right) x^{2}-\frac{x^{3} \ln \left(5 x^{2}\right)}{2}}{x^{3} \ln \left(5 x^{2}\right)-4 \ln \left(5 x^{2}\right) x^{2}+37 x^{3}-404 x^{2}+2 x -8}$&$73$\\ \hline \end{longtable}"," ",0,"(x-4)/(x^3*ln(5*x^2)-4*ln(5*x^2)*x^2+37*x^3-404*x^2+2*x-8)","A"
7536,1,18,17,0.030000," ","int(1/5*((-4*x*ln(2)+3*x^2)*ln(x)+2*x*ln(2)-x^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2} \left(2 \ln \left(2\right)-x \right)}{5 \ln \left(x \right)}$&$18$\\ norman&$\frac{\frac{x^{3}}{5}-\frac{2 x^{2} \ln \left(2\right)}{5}}{\ln \left(x \right)}$&$19$\\ default&$\frac{4 \ln \left(2\right) \expIntegralEi \left(1, -2 \ln \left(x \right)\right)}{5}+\frac{2 \ln \left(2\right) \left(-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)}{5}+\frac{x^{3}}{5 \ln \left(x \right)}$&$43$\\ \hline \end{longtable}"," ",0,"-1/5*x^2*(2*ln(2)-x)/ln(x)","A"
7537,1,53,28,0.215000," ","int(((24*x^2-6*x-18)*ln(x-1)^2+(104*x^4-136*x^3-102*x^2+36*x)*ln(x-1)-336*x^5+206*x^4+384*x^3+54*x^2)/(x^4-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(16 x^{2}+24 x +9\right) \ln \left(x -1\right)^{2}}{x^{2}}+\frac{2 \left(52 x^{2}+27\right) \ln \left(x -1\right)}{x}-168 x^{2}-234 x +150 \ln \left(x -1\right)$&$53$\\ norman&$\frac{150 \ln \left(x -1\right) x^{2}-234 x^{3}-168 x^{4}-9 \ln \left(x -1\right)^{2}-16 x^{2} \ln \left(x -1\right)^{2}+54 \ln \left(x -1\right) x +104 \ln \left(x -1\right) x^{3}-24 \ln \left(x -1\right)^{2} x}{x^{2}}$&$69$\\ \hline \end{longtable}"," ",0,"-(16*x^2+24*x+9)/x^2*ln(x-1)^2+2*(52*x^2+27)/x*ln(x-1)-168*x^2-234*x+150*ln(x-1)","A"
7538,1,21,24,0.081000," ","int((((-2*x*exp(4*ln(2)-x)+2)*exp(exp(4*ln(2)-x))-5*exp(x))*exp(x*exp(exp(4*ln(2)-x)))-5*exp(x)*x+2)/(exp(x*exp(exp(4*ln(2)-x)))+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-5 \,{\mathrm e}^{x}+2 \ln \left({\mathrm e}^{x \,{\mathrm e}^{16 \,{\mathrm e}^{-x}}}+x \right)$&$21$\\ risch&$-5 \,{\mathrm e}^{x}+2 \ln \left({\mathrm e}^{x \,{\mathrm e}^{16 \,{\mathrm e}^{-x}}}+x \right)$&$21$\\ \hline \end{longtable}"," ",0,"-5*exp(x)+2*ln(exp(x*exp(16/exp(x)))+x)","A"
7539,1,25,23,0.034000," ","int(1/8*((8*exp(4)-24)*exp(x)-5*x^2+10*x)/exp(x)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-24 x +5 x^{2} {\mathrm e}^{-x}+8 x \,{\mathrm e}^{4}}{8 \ln \left(5\right)}$&$25$\\ norman&$\left(\frac{\left({\mathrm e}^{4}-3\right) x \,{\mathrm e}^{x}}{\ln \left(5\right)}+\frac{5 x^{2}}{8 \ln \left(5\right)}\right) {\mathrm e}^{-x}$&$28$\\ risch&$\frac{x \,{\mathrm e}^{4}}{\ln \left(5\right)}-\frac{3 x}{\ln \left(5\right)}+\frac{5 x^{2} {\mathrm e}^{-x}}{8 \ln \left(5\right)}$&$30$\\ \hline \end{longtable}"," ",0,"1/8/ln(5)*(-24*x+5*x^2/exp(x)+8*x*exp(4))","A"
7540,1,28,28,0.550000," ","int((((-2*x^2*exp(4)^2-4*x^3*exp(4)-2*x^4-2*x^3)*exp(2/(x+exp(4)))+(x^3+2*x^2)*exp(4)^2+(2*x^4+4*x^3)*exp(4)+x^5+2*x^4)*exp(x^2/(exp(2/(x+exp(4)))-x-1))+(exp(4)^2+2*x*exp(4)+x^2)*exp(2/(x+exp(4)))^2+((-2*x-2)*exp(4)^2+(-4*x^2-4*x)*exp(4)-2*x^3-2*x^2)*exp(2/(x+exp(4)))+(x^2+2*x+1)*exp(4)^2+(2*x^3+4*x^2+2*x)*exp(4)+x^4+2*x^3+x^2)/((x*exp(4)^2+2*x^2*exp(4)+x^3)*exp(2/(x+exp(4)))^2+((-2*x^2-2*x)*exp(4)^2+(-4*x^3-4*x^2)*exp(4)-2*x^4-2*x^3)*exp(2/(x+exp(4)))+(x^3+2*x^2+x)*exp(4)^2+(2*x^4+4*x^3+2*x^2)*exp(4)+x^5+2*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-{\mathrm e}^{-\frac{x^{2}}{x -{\mathrm e}^{\frac{2}{x +{\mathrm e}^{4}}}+1}}$&$28$\\ \hline \end{longtable}"," ",0,"ln(x)-exp(-x^2/(x-exp(2/(x+exp(4)))+1))","A"
7541,1,30,21,0.043000," ","int((25000*exp(1)^4*ln(x)^7-7500*x*exp(1)^2*ln(x)^4+(-30000*x-25000)*exp(1)^2*ln(x)^3+9000*x^2+7500*x)/(125*x*exp(1)^6*ln(x)^12-450*x^2*exp(1)^4*ln(x)^8+540*x^3*exp(1)^2*ln(x)^4-216*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{125 \left(10 \,{\mathrm e}^{2} \ln \left(x \right)^{4}-12 x -5\right)}{\left(5 \,{\mathrm e}^{2} \ln \left(x \right)^{4}-6 x \right)^{2}}$&$30$\\ \hline \end{longtable}"," ",0,"-125*(10*exp(2)*ln(x)^4-12*x-5)/(5*exp(2)*ln(x)^4-6*x)^2","A"
7542,1,13,22,0.018000," ","int(3247204/625*ln(2)+1623602/625*x+1633602/625,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(811801 x +3247204 \ln \left(2\right)+1633602\right)}{625}$&$13$\\ default&$\frac{3247204 x \ln \left(2\right)}{625}+\frac{811801 x^{2}}{625}+\frac{1633602 x}{625}$&$15$\\ norman&$\left(\frac{3247204 \ln \left(2\right)}{625}+\frac{1633602}{625}\right) x +\frac{811801 x^{2}}{625}$&$15$\\ risch&$\frac{3247204 x \ln \left(2\right)}{625}+\frac{811801 x^{2}}{625}+\frac{1633602 x}{625}$&$15$\\ \hline \end{longtable}"," ",0,"1/625*x*(811801*x+3247204*ln(2)+1633602)","A"
7543,1,28,16,0.031000," ","int(1/5*((-4*x+5)*ln(x)*ln(ln(x))+(6*x^2+18*x-35)*ln(x)-2*x+5)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\ln \left(x \right)\right)-7 x +\frac{9 x^{2}}{5}+\frac{2 x^{3}}{5}-\frac{2 x^{2} \ln \left(\ln \left(x \right)\right)}{5}$&$28$\\ risch&$\frac{\left(-2 x^{2}+5 x \right) \ln \left(\ln \left(x \right)\right)}{5}+\frac{2 x^{3}}{5}+\frac{9 x^{2}}{5}-7 x$&$29$\\ \hline \end{longtable}"," ",0,"x*ln(ln(x))-7*x+9/5*x^2+2/5*x^3-2/5*x^2*ln(ln(x))","A"
7544,1,39,24,0.064000," ","int(((x^2-x-3)*exp(-ln(x)-x-1)+x^2-6*x+9)*exp((-exp(-ln(x)-x-1)+(x-3)*ln(x*exp(3)))/(x-3))/(x^3-6*x^2+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{2} \ln \left(x \right)-3 x \ln \left(x \right)+3 x^{2}-{\mathrm e}^{-x -1}-9 x}{x \left(x -3\right)}}$&$39$\\ \hline \end{longtable}"," ",0,"exp((x^2*ln(x)-3*x*ln(x)+3*x^2-exp(-x-1)-9*x)/x/(x-3))","A"
7545,1,13,12,0.050000," ","int(-4*exp(3)*exp(-4*exp(3)*ln(16*x)+5)*exp(exp(-4*exp(3)*ln(16*x)+5))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{{\mathrm e}^{-4 \,{\mathrm e}^{3} \ln \left(16 x \right)+5}}$&$13$\\ default&${\mathrm e}^{{\mathrm e}^{-4 \,{\mathrm e}^{3} \ln \left(16 x \right)+5}}$&$13$\\ norman&${\mathrm e}^{{\mathrm e}^{-4 \,{\mathrm e}^{3} \ln \left(16 x \right)+5}}$&$13$\\ risch&${\mathrm e}^{\left(16 x \right)^{-4 \,{\mathrm e}^{3}} {\mathrm e}^{5}}$&$13$\\ \hline \end{longtable}"," ",0,"exp(exp(-4*exp(3)*ln(16*x)+5))","A"
7546,1,31,25,0.034000," ","int(((4*x+exp(x))*ln(4*x+exp(x))+(3*x^2-13*x-3)*exp(x)+12*x^3-56*x^2+16*x-24)/(4*x+exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{3}-6 \ln \left(4 x +{\mathrm e}^{x}\right)+\ln \left(4 x +{\mathrm e}^{x}\right) x +3 x -7 x^{2}$&$31$\\ risch&$x^{3}-6 \ln \left(4 x +{\mathrm e}^{x}\right)+\ln \left(4 x +{\mathrm e}^{x}\right) x +3 x -7 x^{2}$&$31$\\ \hline \end{longtable}"," ",0,"x^3-6*ln(4*x+exp(x))+ln(4*x+exp(x))*x+3*x-7*x^2","A"
7547,1,35,29,0.097000," ","int(((225*x^3-1350*x^2+2700*x-1800)*exp(x^2)^2+(-900*x^4+5398*x^3-10796*x^2+7199*x-2)*exp(x^2)+225*x^5-1350*x^4+2925*x^3-3148*x^2+2700*x-1800)/((225*x^3-1350*x^2+2700*x-1800)*exp(x^2)^2+(-450*x^4+2700*x^3-5400*x^2+3600*x)*exp(x^2)+225*x^5-1350*x^4+2700*x^3-1800*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{225 x^{2}-899 x +900}{225 \left(x^{2}-4 x +4\right) \left(-{\mathrm e}^{x^{2}}+x \right)}$&$35$\\ norman&$\frac{-4+x^{4}-16 \,{\mathrm e}^{x^{2}}-13 x^{2}+\frac{4499 x}{225}+12 \,{\mathrm e}^{x^{2}} x -x^{3} {\mathrm e}^{x^{2}}}{\left(-{\mathrm e}^{x^{2}}+x \right) \left(x -2\right)^{2}}$&$52$\\ \hline \end{longtable}"," ",0,"x-1/225*(225*x^2-899*x+900)/(x^2-4*x+4)/(-exp(x^2)+x)","A"
7548,1,19,27,0.029000," ","int((2*x^4+19*x^3-29*x^2-140*x-49)/(x^3+14*x^2+49*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-9 x -\frac{315}{x +7}-\ln \left(x \right)$&$19$\\ risch&$x^{2}-9 x -\frac{315}{x +7}-\ln \left(x \right)$&$19$\\ norman&$\frac{x^{3}-2 x^{2}+126}{x +7}-\ln \left(x \right)$&$22$\\ \hline \end{longtable}"," ",0,"x^2-9*x-315/(x+7)-ln(x)","A"
7549,1,44,32,0.122000," ","int(((-54*x^2-63*x)*ln(2*x)+(-6*x^3-8*x^2+19*x)*exp(x)^2+(-6*x^3-2*x^2+26*x)*exp(x)+33*x^2+70*x-54)/(27*x^5+126*x^4+39*x^3-252*x^2+108*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \ln \left(2 x \right)}{3 x^{2}+7 x -6}-\frac{{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x}+1}{3 \left(3 x^{2}+7 x -6\right)}$&$44$\\ default&$\frac{1}{99+33 x}+\frac{\ln \left(3+x \right)}{11}-\frac{\ln \left(x \right)}{2}-\frac{1}{11 \left(3 x -2\right)}+\frac{9 \ln \left(3 x -2\right)}{22}-\frac{9 \ln \left(6 x -4\right)}{22}+\frac{27 \ln \left(2 x \right) x}{11 \left(6 x -4\right)}-\frac{\ln \left(2 x +6\right)}{11}+\frac{2 \ln \left(2 x \right) x}{11 \left(2 x +6\right)}-\frac{2 \,{\mathrm e}^{x}}{33 \left(x -\frac{2}{3}\right)}+\frac{2 \,{\mathrm e}^{x}}{33 \left(3+x \right)}-\frac{{\mathrm e}^{2 x}}{33 \left(x -\frac{2}{3}\right)}+\frac{{\mathrm e}^{2 x}}{99+33 x}$&$120$\\ \hline \end{longtable}"," ",0,"3/(3*x^2+7*x-6)*ln(2*x)-1/3*(exp(2*x)+2*exp(x)+1)/(3*x^2+7*x-6)","A"
7550,1,25,23,0.097000," ","int((((-25*x^2+5*x+20)*exp(-4/x)-25*x)*exp(5*x)+5*x^3*exp(-4/x)^2+(10*x^2+2*x+8)*exp(-4/x)+5*x)/(5*x^3*exp(-4/x)^2+10*x^2*exp(-4/x)+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{5 \,{\mathrm e}^{5 x}+2}{5 \left(x \,{\mathrm e}^{-\frac{4}{x}}+1\right)}$&$25$\\ norman&$\frac{x +x^{2} {\mathrm e}^{-\frac{4}{x}}+\frac{2 x \,{\mathrm e}^{-\frac{4}{x}}}{5}-{\mathrm e}^{5 x}}{x \,{\mathrm e}^{-\frac{4}{x}}+1}$&$41$\\ \hline \end{longtable}"," ",0,"x-1/5*(5*exp(5*x)+2)/(x*exp(-4/x)+1)","A"
7551,1,44,29,0.355000," ","int((4*ln((7*ln(2)-1)/ln(2))+exp(5))/(32*ln((7*ln(2)-1)/ln(2))^2+(32*exp(5)-16*x)*ln((7*ln(2)-1)/ln(2))+8*exp(5)^2-8*x*exp(5)+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \ln \left(\frac{7 \ln \left(2\right)-1}{\ln \left(2\right)}\right)+{\mathrm e}^{5}}{8 \ln \left(\frac{7 \ln \left(2\right)-1}{\ln \left(2\right)}\right)+4 \,{\mathrm e}^{5}-2 x}$&$44$\\ norman&$\frac{\frac{{\mathrm e}^{5}}{2}+2 \ln \left(7 \ln \left(2\right)-1\right)-2 \ln \left(\ln \left(2\right)\right)}{4 \ln \left(\frac{7 \ln \left(2\right)-1}{\ln \left(2\right)}\right)+2 \,{\mathrm e}^{5}-x}$&$45$\\ risch&$\frac{\ln \left(7 \ln \left(2\right)-1\right)}{{\mathrm e}^{5}+2 \ln \left(7 \ln \left(2\right)-1\right)-2 \ln \left(\ln \left(2\right)\right)-\frac{x}{2}}-\frac{\ln \left(\ln \left(2\right)\right)}{{\mathrm e}^{5}+2 \ln \left(7 \ln \left(2\right)-1\right)-2 \ln \left(\ln \left(2\right)\right)-\frac{x}{2}}+\frac{{\mathrm e}^{5}}{4 \,{\mathrm e}^{5}+8 \ln \left(7 \ln \left(2\right)-1\right)-8 \ln \left(\ln \left(2\right)\right)-2 x}$&$85$\\ meijerg&$-\frac{\ln \left(\frac{7 \ln \left(2\right)-1}{\ln \left(2\right)}\right) x}{\left(-2 \,{\mathrm e}^{5}-4 \ln \left(\frac{7 \ln \left(2\right)-1}{\ln \left(2\right)}\right)\right) \left(1-\frac{x}{2 \left(2 \ln \left(\frac{7 \ln \left(2\right)-1}{\ln \left(2\right)}\right)+{\mathrm e}^{5}\right)}\right) \left(2 \ln \left(\frac{7 \ln \left(2\right)-1}{\ln \left(2\right)}\right)+{\mathrm e}^{5}\right)}-\frac{{\mathrm e}^{5} x}{4 \left(-2 \,{\mathrm e}^{5}-4 \ln \left(\frac{7 \ln \left(2\right)-1}{\ln \left(2\right)}\right)\right) \left(1-\frac{x}{2 \left(2 \ln \left(\frac{7 \ln \left(2\right)-1}{\ln \left(2\right)}\right)+{\mathrm e}^{5}\right)}\right) \left(2 \ln \left(\frac{7 \ln \left(2\right)-1}{\ln \left(2\right)}\right)+{\mathrm e}^{5}\right)}$&$154$\\ \hline \end{longtable}"," ",0,"1/2*(4*ln((7*ln(2)-1)/ln(2))+exp(5))/(4*ln((7*ln(2)-1)/ln(2))+2*exp(5)-x)","A"
7552,1,175,28,0.275000," ","int((((((1+5*x)*exp(5*x)-1)*ln(x)+(-5*x^2-x)*exp(5*x)+x)*ln(ln(x)-x)+((10*x+2)*exp(5*x)-2)*ln(x)+(-10*x^2-2*x)*exp(5*x)+2*x)*ln(-x/(ln(ln(x)-x)+2))+((-exp(5*x)+1)*ln(x)+x*exp(5*x)-x)*ln(ln(x)-x)+(-2*exp(5*x)+2)*ln(x)+(x+1)*exp(5*x)-x-1)/((ln(x)-x)*ln(ln(x)-x)+2*ln(x)-2*x)/ln(-x/(ln(ln(x)-x)+2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 i x \left({\mathrm e}^{5 x}-1\right)}{\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x \right)-x \right)+2}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(\ln \left(x \right)-x \right)+2}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x \right)-x \right)+2}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(\ln \left(x \right)-x \right)+2}\right) \mathrm{csgn}\left(i x \right)+\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(\ln \left(x \right)-x \right)+2}\right)^{3}-2 \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(\ln \left(x \right)-x \right)+2}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(\ln \left(x \right)-x \right)+2}\right)^{2} \mathrm{csgn}\left(i x \right)+2 \pi -2 i \ln \left(x \right)+2 i \ln \left(\ln \left(\ln \left(x \right)-x \right)+2\right)}$&$175$\\ \hline \end{longtable}"," ",0,"-2*I*x*(exp(5*x)-1)/(Pi*csgn(I/(ln(ln(x)-x)+2))*csgn(I*x/(ln(ln(x)-x)+2))^2-Pi*csgn(I/(ln(ln(x)-x)+2))*csgn(I*x/(ln(ln(x)-x)+2))*csgn(I*x)+Pi*csgn(I*x/(ln(ln(x)-x)+2))^3-2*Pi*csgn(I*x/(ln(ln(x)-x)+2))^2+Pi*csgn(I*x/(ln(ln(x)-x)+2))^2*csgn(I*x)+2*Pi-2*I*ln(x)+2*I*ln(ln(ln(x)-x)+2))","C"
7553,1,67,21,0.077000," ","int((((2*ln(x)-2*x)*ln(x-ln(x))^2+(2*ln(x)-2*x)*ln(x-ln(x))+2*x-2)*exp(((x+1)*ln(x-ln(x))+x)/ln(x-ln(x)))^2+(((-2*x-2)*ln(x)+2*x^2+2*x)*ln(x-ln(x))^2+(-2*x*ln(x)+2*x^2)*ln(x-ln(x))-2*x^2+2*x)*exp(((x+1)*ln(x-ln(x))+x)/ln(x-ln(x)))+(2*x*ln(x)-2*x^2)*ln(x-ln(x))^2)/(ln(x)-x)/ln(x-ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-2 x \,{\mathrm e}^{\frac{x \ln \left(x -\ln \left(x \right)\right)+\ln \left(x -\ln \left(x \right)\right)+x}{\ln \left(x -\ln \left(x \right)\right)}}+{\mathrm e}^{\frac{2 x \ln \left(x -\ln \left(x \right)\right)+2 \ln \left(x -\ln \left(x \right)\right)+2 x}{\ln \left(x -\ln \left(x \right)\right)}}$&$67$\\ \hline \end{longtable}"," ",0,"x^2-2*x*exp((x*ln(x-ln(x))+ln(x-ln(x))+x)/ln(x-ln(x)))+exp(2*(x*ln(x-ln(x))+ln(x-ln(x))+x)/ln(x-ln(x)))","B"
7554,1,77,23,0.286000," ","int(1/4*(((2*x-1)*ln(1/x^2)+2*x-2)*ln(x)+(x-1)*ln(1/x^2))*exp(1/4*(ln(x)*(x^2-x)+16*ln(1/x^2))/ln(1/x^2))/ln(1/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{-4 \left(\ln \left(\frac{1}{x^{2}}\right)+2 \ln \left(x \right)\right) {\mathrm e}^{\frac{\ln \left(x \right) \left(x^{2}-x \right)+16 \ln \left(\frac{1}{x^{2}}\right)}{4 \ln \left(\frac{1}{x^{2}}\right)}}+8 \ln \left(x \right) {\mathrm e}^{\frac{\ln \left(x \right) \left(x^{2}-x \right)+16 \ln \left(\frac{1}{x^{2}}\right)}{4 \ln \left(\frac{1}{x^{2}}\right)}}}{4 \ln \left(\frac{1}{x^{2}}\right)}$&$77$\\ risch&${\mathrm e}^{-\frac{8 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-16 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+8 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+x^{2} \ln \left(x \right)-x \ln \left(x \right)-32 \ln \left(x \right)}{2 \left(-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 \ln \left(x \right)\right)}}$&$125$\\ \hline \end{longtable}"," ",0,"-1/4*(-4*(ln(1/x^2)+2*ln(x))*exp(1/4*(ln(x)*(x^2-x)+16*ln(1/x^2))/ln(1/x^2))+8*ln(x)*exp(1/4*(ln(x)*(x^2-x)+16*ln(1/x^2))/ln(1/x^2)))/ln(1/x^2)","B"
7555,1,32,17,0.073000," ","int((-146*ln(3)-146*x+365)/(1200*x^2*ln(3)^2+2*(600*x^3-3000*x^2+73*x)*ln(3)+300*x^4-3000*x^3+7573*x^2-365*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)+\ln \left(600 x \ln \left(3\right)+300 x^{2}-1500 x +73\right)-\ln \left(2 \ln \left(3\right)+x -5\right)$&$32$\\ norman&$-\ln \left(x \right)+\ln \left(600 x \ln \left(3\right)+300 x^{2}-1500 x +73\right)-\ln \left(2 \ln \left(3\right)+x -5\right)$&$32$\\ risch&$-\ln \left(x^{2}+\left(2 \ln \left(3\right)-5\right) x \right)+\ln \left(-300 x^{2}+\left(-600 \ln \left(3\right)+1500\right) x -73\right)$&$33$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(600*x*ln(3)+300*x^2-1500*x+73)-ln(2*ln(3)+x-5)","A"
7556,1,20,17,0.026000," ","int((-x*exp(x)*ln(x)+(-x^3+x^2+7*x-1)*exp(x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x} \ln \left(x \right)-\left(x^{2}-3 x -4\right) {\mathrm e}^{x}$&$20$\\ norman&$3 \,{\mathrm e}^{x} x -{\mathrm e}^{x} x^{2}-{\mathrm e}^{x} \ln \left(x \right)+4 \,{\mathrm e}^{x}$&$24$\\ \hline \end{longtable}"," ",0,"-exp(x)*ln(x)-(x^2-3*x-4)*exp(x)","A"
7557,1,86,27,0.062000," ","int((((-2*x-1)*exp(2*x)^2+(-4*x-2)*exp(x)*exp(2*x)+(-2*x-1)*exp(x)^2-2*x^2-x)*ln(exp(2*x)^2+2*exp(x)*exp(2*x)+exp(x)^2+x)^2+(exp(2*x)^2+2*exp(x)*exp(2*x)+exp(x)^2+x)*ln(exp(2*x)^2+2*exp(x)*exp(2*x)+exp(x)^2+x)-4*x*exp(2*x)^2-6*x*exp(x)*exp(2*x)-2*x*exp(x)^2-x)*exp(((-x^2-x+1)*ln(exp(2*x)^2+2*exp(x)*exp(2*x)+exp(x)^2+x)+x)/ln(exp(2*x)^2+2*exp(x)*exp(2*x)+exp(x)^2+x))/(exp(2*x)^2+2*exp(x)*exp(2*x)+exp(x)^2+x)/ln(exp(2*x)^2+2*exp(x)*exp(2*x)+exp(x)^2+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{\ln \left({\mathrm e}^{4 x}+2 \,{\mathrm e}^{3 x}+{\mathrm e}^{2 x}+x \right) x^{2}+\ln \left({\mathrm e}^{4 x}+2 \,{\mathrm e}^{3 x}+{\mathrm e}^{2 x}+x \right) x -\ln \left({\mathrm e}^{4 x}+2 \,{\mathrm e}^{3 x}+{\mathrm e}^{2 x}+x \right)-x}{\ln \left({\mathrm e}^{4 x}+2 \,{\mathrm e}^{3 x}+{\mathrm e}^{2 x}+x \right)}}$&$86$\\ \hline \end{longtable}"," ",0,"exp(-(ln(exp(4*x)+2*exp(3*x)+exp(2*x)+x)*x^2+ln(exp(4*x)+2*exp(3*x)+exp(2*x)+x)*x-ln(exp(4*x)+2*exp(3*x)+exp(2*x)+x)-x)/ln(exp(4*x)+2*exp(3*x)+exp(2*x)+x))","B"
7558,1,15,18,0.023000," ","int((8*x^2*ln(3*x)+4*x^2-2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2} \ln \left(3 x \right)-2 \ln \left(x \right)$&$15$\\ derivativedivides&$4 x^{2} \ln \left(3 x \right)-2 \ln \left(3 x \right)$&$17$\\ default&$4 x^{2} \ln \left(3 x \right)-2 \ln \left(3 x \right)$&$17$\\ norman&$4 x^{2} \ln \left(3 x \right)-2 \ln \left(3 x \right)$&$17$\\ \hline \end{longtable}"," ",0,"4*x^2*ln(3*x)-2*ln(x)","A"
7559,1,25,29,0.172000," ","int(((x*exp(1)*exp(x*exp(1)-5)-x+1)*ln(x)-2*x^3*exp(1)*exp(x*exp(1)-5)+2*x^3+2*x^2-1)/(x*ln(x)-2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-x +{\mathrm e}^{x \,{\mathrm e}-5}-\ln \left(-2 x^{2}+\ln \left(x \right)\right)$&$25$\\ default&$\ln \left(x \right)-x -\ln \left(2 x^{2}-\ln \left(x \right)\right)+{\mathrm e}^{x \,{\mathrm e}-5}$&$27$\\ norman&$\ln \left(x \right)-x -\ln \left(2 x^{2}-\ln \left(x \right)\right)+{\mathrm e}^{x \,{\mathrm e}-5}$&$27$\\ \hline \end{longtable}"," ",0,"ln(x)-x+exp(x*exp(1)-5)-ln(-2*x^2+ln(x))","A"
7560,1,38,29,0.043000," ","int((-x^3*exp(x)^2*exp(exp(x))+(-2*exp(x)-10*x)*exp(5/exp(x))^2+(4*exp(x)+10*x)*exp(5/exp(x))+(-x^3-6)*exp(x))/exp(x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{3}{x^{2}}-{\mathrm e}^{{\mathrm e}^{x}}+\frac{{\mathrm e}^{10 \,{\mathrm e}^{-x}}}{x^{2}}-\frac{2 \,{\mathrm e}^{5 \,{\mathrm e}^{-x}}}{x^{2}}$&$38$\\ \hline \end{longtable}"," ",0,"-x+3/x^2-exp(exp(x))+1/x^2*exp(10*exp(-x))-2/x^2*exp(5*exp(-x))","A"
7561,1,18,18,0.214000," ","int(7/20*(3*x^2*exp(3)^2-2*x^2*exp(3))^(1/5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2} {\mathrm e}^{3} \left(3 \,{\mathrm e}^{3}-2\right)\right)^{\frac{1}{5}} x}{4}$&$18$\\ gosper&$\frac{x \left(3 x^{2} {\mathrm e}^{6}-2 x^{2} {\mathrm e}^{3}\right)^{\frac{1}{5}}}{4}$&$23$\\ trager&$\frac{x \left(3 x^{2} {\mathrm e}^{6}-2 x^{2} {\mathrm e}^{3}\right)^{\frac{1}{5}}}{4}$&$23$\\ \hline \end{longtable}"," ",0,"1/4*(x^2*exp(3)*(3*exp(3)-2))^(1/5)*x","A"
7562,1,30,25,0.195000," ","int((((x+13)*ln(5)+x^3+13*x^2+x+13)*ln((3*x+39)/x)^2+(x^3+13*x^2)*ln((3*x+39)/x)+13*x^2)/(x^3+13*x^2)/ln((3*x+39)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{-x^{2}+\ln \left(5\right)+1}{x}+\frac{x}{\ln \left(\frac{3 x +39}{x}\right)}$&$30$\\ norman&$\frac{x^{2}+x^{2} \ln \left(\frac{3 x +39}{x}\right)+\left(-\ln \left(5\right)-1\right) \ln \left(\frac{3 x +39}{x}\right)}{x \ln \left(\frac{3 x +39}{x}\right)}$&$52$\\ derivativedivides&$-\frac{\left(\frac{\ln \left(1+\frac{13}{x}\right)}{x^{2}}-1+\frac{\ln \left(3\right)}{x^{2}}-\ln \left(1+\frac{13}{x}\right)-\ln \left(3\right)\right) x}{\ln \left(3\right)+\ln \left(1+\frac{13}{x}\right)}-\frac{\ln \left(5\right)}{x}$&$59$\\ default&$-\frac{\left(\frac{\ln \left(1+\frac{13}{x}\right)}{x^{2}}-1+\frac{\ln \left(3\right)}{x^{2}}-\ln \left(1+\frac{13}{x}\right)-\ln \left(3\right)\right) x}{\ln \left(3\right)+\ln \left(1+\frac{13}{x}\right)}-\frac{\ln \left(5\right)}{x}$&$59$\\ \hline \end{longtable}"," ",0,"-(-x^2+ln(5)+1)/x+x/ln((3*x+39)/x)","A"
7563,1,42,31,0.369000," ","int(((2*(1-x)*ln(2)-x^2)*ln(5)*ln(2*ln(2))+(-4*x^2*ln(2)^2+2*(-x^3-x^2)*ln(2))*ln(5))/((4*ln(2)^2+4*x*ln(2)+x^2)*exp(x)*ln(2*ln(2))^2+(16*x*ln(2)^3+16*x^2*ln(2)^2+4*x^3*ln(2))*exp(x)*ln(2*ln(2))+(16*x^2*ln(2)^4+16*x^3*ln(2)^3+4*x^4*ln(2)^2)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \ln \left(5\right) {\mathrm e}^{-x}}{4 x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+2 \ln \left(2 \ln \left(2\right)\right) \ln \left(2\right)+x \ln \left(2 \ln \left(2\right)\right)}$&$42$\\ norman&$\frac{x \ln \left(5\right) {\mathrm e}^{-x}}{4 x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+2 \ln \left(2 \ln \left(2\right)\right) \ln \left(2\right)+x \ln \left(2 \ln \left(2\right)\right)}$&$42$\\ risch&$\frac{x \ln \left(5\right) {\mathrm e}^{-x}}{4 x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+2 \ln \left(2\right)^{2}+2 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+x \ln \left(2\right)+x \ln \left(\ln \left(2\right)\right)}$&$48$\\ default&$\frac{16 \ln \left(2\right)^{4} \ln \left(5\right) {\mathrm e}^{-x} x}{\left(16 \ln \left(2\right)^{4}-8 \ln \left(2\right)^{3}-8 \ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)+\ln \left(2\right)^{2}+2 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+\ln \left(\ln \left(2\right)\right)^{2}\right) \left(4 x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+2 \ln \left(2\right)^{2}+2 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+x \ln \left(2\right)+x \ln \left(\ln \left(2\right)\right)\right)}+\frac{\ln \left(2\right)^{2} \ln \left(5\right) {\mathrm e}^{-x} x}{\left(16 \ln \left(2\right)^{4}-8 \ln \left(2\right)^{3}-8 \ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)+\ln \left(2\right)^{2}+2 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+\ln \left(\ln \left(2\right)\right)^{2}\right) \left(4 x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+2 \ln \left(2\right)^{2}+2 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+x \ln \left(2\right)+x \ln \left(\ln \left(2\right)\right)\right)}+\frac{\ln \left(5\right) {\mathrm e}^{-x} \ln \left(\ln \left(2\right)\right)^{2} x}{\left(16 \ln \left(2\right)^{4}-8 \ln \left(2\right)^{3}-8 \ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)+\ln \left(2\right)^{2}+2 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+\ln \left(\ln \left(2\right)\right)^{2}\right) \left(4 x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+2 \ln \left(2\right)^{2}+2 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+x \ln \left(2\right)+x \ln \left(\ln \left(2\right)\right)\right)}-\frac{8 \ln \left(2\right)^{3} \ln \left(5\right) {\mathrm e}^{-x} x}{\left(16 \ln \left(2\right)^{4}-8 \ln \left(2\right)^{3}-8 \ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)+\ln \left(2\right)^{2}+2 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+\ln \left(\ln \left(2\right)\right)^{2}\right) \left(4 x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+2 \ln \left(2\right)^{2}+2 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+x \ln \left(2\right)+x \ln \left(\ln \left(2\right)\right)\right)}+\frac{2 \ln \left(2\right) \ln \left(5\right) {\mathrm e}^{-x} \ln \left(\ln \left(2\right)\right) x}{\left(16 \ln \left(2\right)^{4}-8 \ln \left(2\right)^{3}-8 \ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)+\ln \left(2\right)^{2}+2 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+\ln \left(\ln \left(2\right)\right)^{2}\right) \left(4 x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+2 \ln \left(2\right)^{2}+2 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+x \ln \left(2\right)+x \ln \left(\ln \left(2\right)\right)\right)}-\frac{8 \ln \left(2\right)^{2} \ln \left(5\right) {\mathrm e}^{-x} \ln \left(\ln \left(2\right)\right) x}{\left(16 \ln \left(2\right)^{4}-8 \ln \left(2\right)^{3}-8 \ln \left(2\right)^{2} \ln \left(\ln \left(2\right)\right)+\ln \left(2\right)^{2}+2 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+\ln \left(\ln \left(2\right)\right)^{2}\right) \left(4 x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+2 \ln \left(2\right)^{2}+2 \ln \left(\ln \left(2\right)\right) \ln \left(2\right)+x \ln \left(2\right)+x \ln \left(\ln \left(2\right)\right)\right)}$&$557$\\ \hline \end{longtable}"," ",0,"x*ln(5)/(4*x*ln(2)^2+2*x^2*ln(2)+2*ln(2*ln(2))*ln(2)+x*ln(2*ln(2)))/exp(x)","A"
7564,1,23,24,0.033000," ","int((-4*exp(x)*exp(-4*exp(x)+16)+exp(x)-2*x+2)*exp(exp(-4*exp(x)+16)+exp(x)-ln(2)-x^2+2*x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{{\mathrm e}^{-4 \,{\mathrm e}^{x}+16}+{\mathrm e}^{x}-5-x^{2}+2 x}}{2}$&$23$\\ derivativedivides&${\mathrm e}^{{\mathrm e}^{-4 \,{\mathrm e}^{x}+16}+{\mathrm e}^{x}-\ln \left(2\right)-x^{2}+2 x -5}$&$25$\\ default&${\mathrm e}^{{\mathrm e}^{-4 \,{\mathrm e}^{x}+16}+{\mathrm e}^{x}-\ln \left(2\right)-x^{2}+2 x -5}$&$25$\\ norman&${\mathrm e}^{{\mathrm e}^{-4 \,{\mathrm e}^{x}+16}+{\mathrm e}^{x}-\ln \left(2\right)-x^{2}+2 x -5}$&$25$\\ \hline \end{longtable}"," ",0,"1/2*exp(exp(-4*exp(x)+16)+exp(x)-5-x^2+2*x)","A"
7565,1,16,17,0.033000," ","int((-exp(x)*x+12*x^2-3*x-1)*exp(exp(x)-6*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-{\mathrm e}^{{\mathrm e}^{x}-6 x^{2}+3 x} x$&$16$\\ risch&$-{\mathrm e}^{{\mathrm e}^{x}-6 x^{2}+3 x} x$&$16$\\ \hline \end{longtable}"," ",0,"-exp(exp(x)-6*x^2+3*x)*x","A"
7566,1,17,17,0.063000," ","int(2*(2*x^3+21*x^2+49*x)*ln(2)^2*exp((x^4+14*x^3+49*x^2)*ln(2)^2)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\left(x +7\right)^{2} \ln \left(2\right)^{2} x^{2}}$&$17$\\ default&$x +{\mathrm e}^{\left(x^{4}+14 x^{3}+49 x^{2}\right) \ln \left(2\right)^{2}}$&$23$\\ norman&$x +{\mathrm e}^{\left(x^{4}+14 x^{3}+49 x^{2}\right) \ln \left(2\right)^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"x+exp((x+7)^2*ln(2)^2*x^2)","A"
7567,1,38,23,0.038000," ","int(1/5*(-5*x*ln(x)^2+(20*ln(20)-10*x)*ln(x)+(-8*x^2*ln(20)+4*x^3+2*x)*exp(x^2)*exp(exp(2)))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x \ln \left(x \right)^{2}+2 \ln \left(20\right) \ln \left(x \right)^{2}-\frac{4 \,{\mathrm e}^{x^{2}} \ln \left(20\right) {\mathrm e}^{{\mathrm e}^{2}}}{5}+\frac{2 \,{\mathrm e}^{x^{2}} {\mathrm e}^{{\mathrm e}^{2}} x}{5}$&$38$\\ risch&$\frac{\left(-5 x +20 \ln \left(2\right)+10 \ln \left(5\right)\right) \ln \left(x \right)^{2}}{5}-\frac{2 \left(4 \ln \left(2\right)+2 \ln \left(5\right)-x \right) {\mathrm e}^{{\mathrm e}^{2}+x^{2}}}{5}$&$41$\\ \hline \end{longtable}"," ",0,"-x*ln(x)^2+2*ln(20)*ln(x)^2-4/5*exp(x^2)*ln(20)*exp(exp(2))+2/5*exp(x^2)*exp(exp(2))*x","A"
7568,1,20,16,0.051000," ","int((2*exp(x)^2*x^2+x^2+2*x)*exp(exp(x)^2+x)+(-x^2-2*x)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{{\mathrm e}^{2 x}+x} x^{2}-{\mathrm e}^{x} x^{2}$&$20$\\ norman&${\mathrm e}^{{\mathrm e}^{2 x}+x} x^{2}-{\mathrm e}^{x} x^{2}$&$20$\\ risch&${\mathrm e}^{{\mathrm e}^{2 x}+x} x^{2}-{\mathrm e}^{x} x^{2}$&$20$\\ \hline \end{longtable}"," ",0,"exp(exp(x)^2+x)*x^2-exp(x)*x^2","A"
7569,1,24,17,0.047000," ","int((2358774*exp(x)^2+2358774*exp(x)*x^2)/((5+x)*exp(x)^2+(x^2+10*x)*exp(x)+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2358774 \ln \left({\mathrm e}^{x}+x \right)+2358774 \ln \left({\mathrm e}^{x} x +5 x +5 \,{\mathrm e}^{x}\right)$&$24$\\ risch&$2358774 \ln \left(5+x \right)+2358774 \ln \left({\mathrm e}^{x}+\frac{5 x}{5+x}\right)-2358774 \ln \left({\mathrm e}^{x}+x \right)$&$29$\\ \hline \end{longtable}"," ",0,"-2358774*ln(exp(x)+x)+2358774*ln(exp(x)*x+5*x+5*exp(x))","A"
7570,1,21,18,0.244000," ","int((-1210*x^4+2090*x^3-1072*x^2+160*x)/(605*x^2-440*x+80)/exp((55*x^2-24*x)/(55*x-20))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{-\frac{2 x \left(55 x -24\right)}{5 \left(11 x -4\right)}}$&$21$\\ gosper&$x^{2} {\mathrm e}^{-\frac{2 x \left(55 x -24\right)}{5 \left(11 x -4\right)}}$&$23$\\ norman&$\frac{\left(11 x^{3}-4 x^{2}\right) {\mathrm e}^{-\frac{2 \left(55 x^{2}-24 x \right)}{55 x -20}}}{11 x -4}$&$40$\\ \hline \end{longtable}"," ",0,"x^2*exp(-2/5*x*(55*x-24)/(11*x-4))","A"
7571,1,27,30,0.222000," ","int((((4*x^3+16*x^2+8*x-8)*exp(1)^2+8*x^2+8*x)*exp(-1/(x^2+2*x))+3*x^5+12*x^4+12*x^3)/(x^5+4*x^4+4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x -\frac{4 \left({\mathrm e}^{2}-x \right) {\mathrm e}^{-\frac{1}{x \left(2+x \right)}}}{x}$&$27$\\ norman&$\frac{-12 x^{2}+\left(8-4 \,{\mathrm e}^{2}\right) x^{2} {\mathrm e}^{-\frac{1}{x^{2}+2 x}}+3 x^{4}+4 x^{3} {\mathrm e}^{-\frac{1}{x^{2}+2 x}}-8 x \,{\mathrm e}^{2} {\mathrm e}^{-\frac{1}{x^{2}+2 x}}}{x^{2} \left(2+x \right)}$&$81$\\ \hline \end{longtable}"," ",0,"3*x-4*(exp(2)-x)/x*exp(-1/x/(2+x))","A"
7572,1,10,23,0.019000," ","int(-2*x/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x^{2}}{\ln \left(2\right)}$&$10$\\ default&$-\frac{x^{2}}{\ln \left(2\right)}$&$10$\\ norman&$-\frac{x^{2}}{\ln \left(2\right)}$&$10$\\ risch&$-\frac{x^{2}}{\ln \left(2\right)}$&$10$\\ \hline \end{longtable}"," ",0,"-x^2/ln(2)","A"
7573,1,61,29,0.433000," ","int((((50*ln(2)+25)*ln(5)^2+(-20*x*ln(2)-10*x)*ln(5)+2*x^2*ln(2)+x^2)*exp(x)^2+(((180*x+100)*ln(2)+40*x)*ln(5)+(-36*x^2-40*x)*ln(2)-8*x^2)*exp(x)+(32*x^2+160*x)*ln(2)+16*x^2)/(((50*x*ln(2)+25*x)*ln(5)^2+(-20*x^2*ln(2)-10*x^2)*ln(5)+2*x^3*ln(2)+x^3)*exp(x)^2+(((80*x^2+100*x)*ln(2)+40*x^2)*ln(5)+(-16*x^3-20*x^2)*ln(2)-8*x^3)*exp(x)+(32*x^3+80*x^2)*ln(2)+16*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left({\mathrm e}^{x}+\frac{4 x}{5 \ln \left(5\right)-x}\right)-\ln \left({\mathrm e}^{x}+\frac{8 x \ln \left(2\right)+20 \ln \left(2\right)+4 x}{10 \ln \left(2\right) \ln \left(5\right)-2 x \ln \left(2\right)+5 \ln \left(5\right)-x}\right)$&$61$\\ norman&$-\ln \left(10 \ln \left(5\right) \ln \left(2\right) {\mathrm e}^{x}-2 x \ln \left(2\right) {\mathrm e}^{x}+8 x \ln \left(2\right)+5 \,{\mathrm e}^{x} \ln \left(5\right)-{\mathrm e}^{x} x +20 \ln \left(2\right)+4 x \right)+\ln \left(x \right)+\ln \left(5 \,{\mathrm e}^{x} \ln \left(5\right)-{\mathrm e}^{x} x +4 x \right)$&$62$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(exp(x)+4*x/(5*ln(5)-x))-ln(exp(x)+4*(2*x*ln(2)+5*ln(2)+x)/(10*ln(2)*ln(5)-2*x*ln(2)+5*ln(5)-x))","B"
7574,1,34,21,0.219000," ","int(((-5*x^2-32*x-48)*ln(4+x)^2+(6*x^4+40*x^3+66*x^2+4*x)*ln(4+x)-x^6-8*x^5-18*x^4-4*x^3)/(x^8+4*x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(2+x \right) \ln \left(4+x \right)^{2}}{x^{6}}-\frac{2 \left(2+x \right) \ln \left(4+x \right)}{x^{4}}+\frac{2+x}{x^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"(2+x)/x^6*ln(4+x)^2-2*(2+x)/x^4*ln(4+x)+(2+x)/x^2","A"
7575,1,15,15,0.024000," ","int((36*x^2+6*x+3)*exp(4*x^3+x^2+x)*exp(exp(4*x^3+x^2+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 \,{\mathrm e}^{{\mathrm e}^{4 x^{3}+x^{2}+x}}$&$15$\\ norman&$3 \,{\mathrm e}^{{\mathrm e}^{4 x^{3}+x^{2}+x}}$&$15$\\ risch&$3 \,{\mathrm e}^{{\mathrm e}^{x \left(4 x^{2}+x +1\right)}}$&$15$\\ \hline \end{longtable}"," ",0,"3*exp(exp(4*x^3+x^2+x))","A"
7576,1,23,23,0.176000," ","int((((4*x+2)*ln(ln(2))-16*x^2-8*x)*ln(-1/4*ln(ln(2))+x)+(-5*x^2-3*x)*ln(ln(2))+20*x^3+8*x^2-4*x)/(((x^2+x)*ln(ln(2))-4*x^3-4*x^2)*ln(-1/4*ln(ln(2))+x)+(-x^3-x^2)*ln(ln(2))+4*x^4+4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x^{2}+x \right)+\ln \left(-x +\ln \left(-\frac{\ln \left(\ln \left(2\right)\right)}{4}+x \right)\right)$&$23$\\ norman&$2 \ln \left(x \right)+2 \ln \left(x +1\right)+\ln \left(x -\ln \left(-\frac{\ln \left(\ln \left(2\right)\right)}{4}+x \right)\right)$&$25$\\ \hline \end{longtable}"," ",0,"2*ln(x^2+x)+ln(-x+ln(-1/4*ln(ln(2))+x))","A"
7577,1,28,26,0.111000," ","int((2*(-6*x^2+336*x-420)*ln(2)+12*x^3-519*x^2+840*x+612)/(4*(20*x^4-100*x^3+125*x^2)*ln(2)^2+2*(-40*x^5+200*x^4-90*x^3-800*x^2+1000*x)*ln(2)+20*x^6-100*x^5-35*x^4+800*x^3-680*x^2-1600*x+2000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{3 x}{5}-\frac{84}{5}}{\left(2 x -5\right) \left(2 x \ln \left(2\right)-x^{2}+4\right)}$&$28$\\ gosper&$\frac{\frac{3 x}{5}-\frac{84}{5}}{4 x^{2} \ln \left(2\right)-2 x^{3}-10 x \ln \left(2\right)+5 x^{2}+8 x -20}$&$35$\\ risch&$\frac{\frac{3 x}{20}-\frac{21}{5}}{x^{2} \ln \left(2\right)-\frac{x^{3}}{2}-\frac{5 x \ln \left(2\right)}{2}+\frac{5 x^{2}}{4}+2 x -5}$&$35$\\ default&$-\frac{3 \left(\frac{51 x}{2}-56 \ln \left(2\right)+66\right)}{5 \left(20 \ln \left(2\right)-9\right) \left(x \ln \left(2\right)-\frac{x^{2}}{2}+2\right)}-\frac{306}{5 \left(20 \ln \left(2\right)-9\right) \left(2 x -5\right)}$&$51$\\ \hline \end{longtable}"," ",0,"(3/5*x-84/5)/(2*x-5)/(2*x*ln(2)-x^2+4)","A"
7578,1,145,29,0.188000," ","int((((x+ln(x))*ln(x*ln(x)+x^2)-x*ln(x)-x^2)*ln(-ln(x*ln(x)+x^2)+x)^2+((-3*x*ln(x)-3*x^2)*ln(x*ln(x)+x^2)+(3*x^2-x+1)*ln(x)+3*x^3-x^2+2*x+1)*ln(-ln(x*ln(x)+x^2)+x)+((2*x^2-1)*ln(x)+2*x^3-x)*ln(x*ln(x)+x^2)+(-2*x^3+x^2)*ln(x)-2*x^4+x^3-x^2-x)/(((x*ln(x)+x^2)*ln(x*ln(x)+x^2)-x^2*ln(x)-x^3)*ln(-ln(x*ln(x)+x^2)+x)^2+((-2*x^2*ln(x)-2*x^3)*ln(x*ln(x)+x^2)+2*x^3*ln(x)+2*x^4)*ln(-ln(x*ln(x)+x^2)+x)+((x^3-x)*ln(x)+x^4-x^2)*ln(x*ln(x)+x^2)+(-x^4+x^2)*ln(x)-x^5+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\frac{\ln \left(x^{2}-2 \ln \left(-\ln \left(x \right)-\ln \left(x +\ln \left(x \right)\right)+\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x +\ln \left(x \right)\right)\right) \left(-\mathrm{csgn}\left(i x \left(x +\ln \left(x \right)\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x +\ln \left(x \right)\right)\right)+\mathrm{csgn}\left(i \left(x +\ln \left(x \right)\right)\right)\right)}{2}+x \right) x +\ln \left(-\ln \left(x \right)-\ln \left(x +\ln \left(x \right)\right)+\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x +\ln \left(x \right)\right)\right) \left(-\mathrm{csgn}\left(i x \left(x +\ln \left(x \right)\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x +\ln \left(x \right)\right)\right)+\mathrm{csgn}\left(i \left(x +\ln \left(x \right)\right)\right)\right)}{2}+x \right)^{2}-1\right)}{2}$&$145$\\ \hline \end{longtable}"," ",0,"ln(x)+1/2*ln(x^2-2*ln(-ln(x)-ln(x+ln(x))+1/2*I*Pi*csgn(I*x*(x+ln(x)))*(-csgn(I*x*(x+ln(x)))+csgn(I*x))*(-csgn(I*x*(x+ln(x)))+csgn(I*(x+ln(x))))+x)*x+ln(-ln(x)-ln(x+ln(x))+1/2*I*Pi*csgn(I*x*(x+ln(x)))*(-csgn(I*x*(x+ln(x)))+csgn(I*x))*(-csgn(I*x*(x+ln(x)))+csgn(I*(x+ln(x))))+x)^2-1)","C"
7579,1,28,26,0.081000," ","int(1/15*((-x^2+x)*ln(x)+(-45*exp(x)*x+x^2-x)*exp(3*x+3)+15*exp(x))*exp(1/15*x/exp(x))/x/ln(2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-15 \,{\mathrm e}^{3 x +3}+15 \ln \left(x \right)\right) {\mathrm e}^{\frac{x \,{\mathrm e}^{-x}}{15}}}{15 \ln \left(2\right)}$&$28$\\ \hline \end{longtable}"," ",0,"1/15/ln(2)*(-15*exp(3*x+3)+15*ln(x))*exp(1/15*x*exp(-x))","A"
7580,1,17,10,0.044000," ","int((-exp(35)+1)*exp(((-x-5)*exp(35)+x)/exp(35))/exp(35),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{\left(\left(-x -5\right) {\mathrm e}^{35}+x \right) {\mathrm e}^{-35}}$&$17$\\ default&${\mathrm e}^{\left(\left(-x -5\right) {\mathrm e}^{35}+x \right) {\mathrm e}^{-35}}$&$17$\\ norman&${\mathrm e}^{\left(\left(-x -5\right) {\mathrm e}^{35}+x \right) {\mathrm e}^{-35}}$&$17$\\ gosper&${\mathrm e}^{-\left({\mathrm e}^{35} x +5 \,{\mathrm e}^{35}-x \right) {\mathrm e}^{-35}}$&$20$\\ meijerg&$-\frac{{\mathrm e}^{30} \left(1-{\mathrm e}^{-x \left({\mathrm e}^{35}-1\right) {\mathrm e}^{-35}}\right)}{{\mathrm e}^{35}-1}+\frac{{\mathrm e}^{-5} \left(1-{\mathrm e}^{-x \left({\mathrm e}^{35}-1\right) {\mathrm e}^{-35}}\right)}{{\mathrm e}^{35}-1}$&$49$\\ risch&$\frac{{\mathrm e}^{-\left({\mathrm e}^{35} x +5 \,{\mathrm e}^{35}-x \right) {\mathrm e}^{-35}} {\mathrm e}^{35}}{{\mathrm e}^{35}-1}-\frac{{\mathrm e}^{-\left({\mathrm e}^{35} x +5 \,{\mathrm e}^{35}-x \right) {\mathrm e}^{-35}}}{{\mathrm e}^{35}-1}$&$53$\\ \hline \end{longtable}"," ",0,"exp(((-x-5)*exp(35)+x)/exp(35))","A"
7581,1,74,27,0.581000," ","int(((-2*exp(exp(3))-1312200000000*x^10+13116168000000*x^9+52478280000*x^8+77752800*x^7+50398*x^6+12*x^5)*ln(2*exp(exp(3))+1312200000000*x^10+5832000000*x^9+9720000*x^8+7200*x^7+2*x^6)+2*x*exp(exp(3))+1312200000000*x^11-13116168000000*x^10-52478280000*x^9-77752800*x^8-50398*x^7-12*x^6)/(exp(exp(3))+656100000000*x^10+2916000000*x^9+4860000*x^8+3600*x^7+x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\ln \left(2 \,{\mathrm e}^{{\mathrm e}^{3}}+1312200000000 x^{10}+5832000000 x^{9}+9720000 x^{8}+7200 x^{7}+2 x^{6}\right)^{2}-2 x \ln \left(2 \,{\mathrm e}^{{\mathrm e}^{3}}+1312200000000 x^{10}+5832000000 x^{9}+9720000 x^{8}+7200 x^{7}+2 x^{6}\right)$&$74$\\ risch&$x^{2}+\ln \left(2 \,{\mathrm e}^{{\mathrm e}^{3}}+1312200000000 x^{10}+5832000000 x^{9}+9720000 x^{8}+7200 x^{7}+2 x^{6}\right)^{2}-2 x \ln \left(2 \,{\mathrm e}^{{\mathrm e}^{3}}+1312200000000 x^{10}+5832000000 x^{9}+9720000 x^{8}+7200 x^{7}+2 x^{6}\right)$&$74$\\ default&\verb|error in gcdex: invalid arguments\|& N/A\\ \hline \end{longtable}"," ",0,"x^2+ln(2*exp(exp(3))+1312200000000*x^10+5832000000*x^9+9720000*x^8+7200*x^7+2*x^6)^2-2*x*ln(2*exp(exp(3))+1312200000000*x^10+5832000000*x^9+9720000*x^8+7200*x^7+2*x^6)","B"
7582,1,14,12,0.016000," ","int((4*exp(2)*exp(3)-72)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{-3} x \,{\mathrm e}^{5}-72 \,{\mathrm e}^{-3} x$&$14$\\ default&$\left(4 \,{\mathrm e}^{2} {\mathrm e}^{3}-72\right) {\mathrm e}^{-3} x$&$15$\\ norman&$4 \left({\mathrm e}^{2} {\mathrm e}^{3}-18\right) {\mathrm e}^{-3} x$&$15$\\ \hline \end{longtable}"," ",0,"4*exp(-3)*x*exp(5)-72*exp(-3)*x","A"
7583,1,14,16,0.020000," ","int(1024/5*x^3*exp(2)^2-6/5*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{256 x^{4} {\mathrm e}^{4}}{5}-\frac{3 x^{2}}{5}$&$14$\\ default&$\frac{256 x^{4} {\mathrm e}^{4}}{5}-\frac{3 x^{2}}{5}$&$16$\\ norman&$\frac{256 x^{4} {\mathrm e}^{4}}{5}-\frac{3 x^{2}}{5}$&$16$\\ gosper&$\frac{\left(256 x^{2} {\mathrm e}^{4}-3\right) x^{2}}{5}$&$17$\\ \hline \end{longtable}"," ",0,"256/5*x^4*exp(4)-3/5*x^2","A"
7584,1,35,26,0.061000," ","int(((-32*x^2-16*x+64)*ln(x)+2*exp(x)*x+8*x^4+12*x^3-12*x^2-20*x)*exp(16*ln(x)^2+(-8*x^2-8*x)*ln(x)+exp(x)+x^4+2*x^3+x^2-2*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{-8 \left(x +1\right) x} {\mathrm e}^{16 \ln \left(x \right)^{2}+{\mathrm e}^{x}+x^{4}+2 x^{3}+x^{2}-2 x}$&$35$\\ \hline \end{longtable}"," ",0,"2*x^(-8*(x+1)*x)*exp(16*ln(x)^2+exp(x)+x^4+2*x^3+x^2-2*x)","A"
7585,1,28,31,0.576000," ","int((((4*x^2-3*x)*exp(1)-6*x^3-6*x^2+12*x)*ln(x)+(4*x^4-12*x^3-3*x^2+18*x+9)*exp(1)^2+(-8*x^5+78*x^3-18*x^2-126*x-54)*exp(1)+4*x^6+12*x^5-39*x^4-108*x^3+90*x^2+216*x+81)/((4*x^5-12*x^4-3*x^3+18*x^2+9*x)*exp(1)^2+(-8*x^6+78*x^4-18*x^3-126*x^2-54*x)*exp(1)+4*x^7+12*x^6-39*x^5-108*x^4+90*x^3+216*x^2+81*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(x \right)\right)-\frac{1}{\left(2 x^{2}-3 x -3\right) \left({\mathrm e}-3-x \right)}$&$28$\\ norman&$\ln \left(\ln \left(x \right)\right)-\frac{1}{\left(2 x^{2}-3 x -3\right) \left({\mathrm e}-3-x \right)}$&$28$\\ risch&$-\frac{1}{2 x^{2} {\mathrm e}-2 x^{3}-3 x \,{\mathrm e}-3 x^{2}-3 \,{\mathrm e}+12 x +9}+\ln \left(\ln \left(x \right)\right)$&$40$\\ \hline \end{longtable}"," ",0,"ln(ln(x))-1/(2*x^2-3*x-3)/(exp(1)-3-x)","A"
7586,1,22,21,0.039000," ","int((((8*x-8)*exp(x)-8)*ln(x)+(8*x^2+8)*exp(x)+6)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2+8 \,{\mathrm e}^{x} x +8 \,{\mathrm e}^{x} \ln \left(x \right)+8 \ln \left(x \right)}{x}$&$22$\\ risch&$\frac{8 \left({\mathrm e}^{x}+1\right) \ln \left(x \right)}{x}+\frac{8 \,{\mathrm e}^{x} x +2}{x}$&$25$\\ default&$\frac{8 \,{\mathrm e}^{x} x +8 \,{\mathrm e}^{x} \ln \left(x \right)}{x}+\frac{2}{x}+\frac{8 \ln \left(x \right)}{x}$&$30$\\ \hline \end{longtable}"," ",0,"(2+8*exp(x)*x+8*exp(x)*ln(x)+8*ln(x))/x","A"
7587,1,10,11,0.215000," ","int(-12/(x^2-12*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-\ln \left(x -12\right)$&$10$\\ norman&$\ln \left(x \right)-\ln \left(x -12\right)$&$10$\\ risch&$\ln \left(x \right)-\ln \left(x -12\right)$&$10$\\ meijerg&$\ln \left(x \right)-2 \ln \left(2\right)-\ln \left(3\right)+i \pi -\ln \left(1-\frac{x}{12}\right)$&$24$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(x-12)","A"
7588,1,63,30,0.135000," ","int(((-96*x*exp(5)+16*x^2+288)*exp((x^2*exp(5)^2-6*x*exp(5)+9)/x^2)*exp((-8*exp((x^2*exp(5)^2-6*x*exp(5)+9)/x^2)+13*x)/x)^2+(-1536*x*exp(5)+256*x^2+4608)*exp((x^2*exp(5)^2-6*x*exp(5)+9)/x^2)*exp((-8*exp((x^2*exp(5)^2-6*x*exp(5)+9)/x^2)+13*x)/x))/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-16 \,{\mathrm e}^{\frac{x^{2} {\mathrm e}^{10}-6 x \,{\mathrm e}^{5}+9}{x^{2}}}+26 x}{x}}+32 \,{\mathrm e}^{\frac{-8 \,{\mathrm e}^{\frac{x^{2} {\mathrm e}^{10}-6 x \,{\mathrm e}^{5}+9}{x^{2}}}+13 x}{x}}$&$63$\\ norman&$\frac{x^{3} {\mathrm e}^{\frac{-16 \,{\mathrm e}^{\frac{x^{2} {\mathrm e}^{10}-6 x \,{\mathrm e}^{5}+9}{x^{2}}}+26 x}{x}}+32 x^{3} {\mathrm e}^{\frac{-8 \,{\mathrm e}^{\frac{x^{2} {\mathrm e}^{10}-6 x \,{\mathrm e}^{5}+9}{x^{2}}}+13 x}{x}}}{x^{3}}$&$79$\\ \hline \end{longtable}"," ",0,"exp(2*(-8*exp((x^2*exp(10)-6*x*exp(5)+9)/x^2)+13*x)/x)+32*exp((-8*exp((x^2*exp(10)-6*x*exp(5)+9)/x^2)+13*x)/x)","B"
7589,1,19,20,0.236000," ","int((-x^2*exp(2)+3*x^2+x+1)/(x^2*exp(2)-3*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\ln \left(x \right)+\ln \left({\mathrm e}^{2} x -3 x -1\right)$&$19$\\ norman&$-x -\ln \left(x \right)+\ln \left({\mathrm e}^{2} x -3 x -1\right)$&$19$\\ risch&$-x -\ln \left(x \right)+\ln \left(1+x \left(-{\mathrm e}^{2}+3\right)\right)$&$20$\\ meijerg&$\frac{\left({\mathrm e}^{2}-3\right) \left(\ln \left(x \right)+\ln \left(-{\mathrm e}^{2}+3\right)-\ln \left(1+x \left(-{\mathrm e}^{2}+3\right)\right)\right)}{-{\mathrm e}^{2}+3}-\frac{x \left(-{\mathrm e}^{2}+3\right)-\ln \left(1+x \left(-{\mathrm e}^{2}+3\right)\right)}{-{\mathrm e}^{2}+3}-\frac{\ln \left(1+x \left(-{\mathrm e}^{2}+3\right)\right)}{-{\mathrm e}^{2}+3}$&$91$\\ \hline \end{longtable}"," ",0,"-x-ln(x)+ln(exp(2)*x-3*x-1)","A"
7590,0,0,29,0.036000," ","int(((((-8*x^2-12*x-12)*exp(x)+16*x^3+48*x)*ln(x)-12*exp(x)+24*x)*ln(2*x)+(12*exp(x)-24*x)*ln(x))/(3*exp(x)^2*x^2-12*exp(x)*x^3+12*x^4)/exp(1/3*x^2)/ln(x)^2,x)","\[\int \frac{\left(\left(\left(\left(-8 x^{2}-12 x -12\right) {\mathrm e}^{x}+16 x^{3}+48 x \right) \ln \left(x \right)-12 \,{\mathrm e}^{x}+24 x \right) \ln \left(2 x \right)+\left(12 \,{\mathrm e}^{x}-24 x \right) \ln \left(x \right)\right) {\mathrm e}^{-\frac{x^{2}}{3}}}{\left(3 \,{\mathrm e}^{2 x} x^{2}-12 \,{\mathrm e}^{x} x^{3}+12 x^{4}\right) \ln \left(x \right)^{2}}\, dx\]"," ",0,"int(((((-8*x^2-12*x-12)*exp(x)+16*x^3+48*x)*ln(x)-12*exp(x)+24*x)*ln(2*x)+(12*exp(x)-24*x)*ln(x))/(3*exp(x)^2*x^2-12*exp(x)*x^3+12*x^4)/exp(1/3*x^2)/ln(x)^2,x)","F"
7591,1,36,29,0.069000," ","int(((x^5+6*x^4+12*x^3+8*x^2)*exp(x)-4*x^8-36*x^7-112*x^6-128*x^5-x^3-6*x^2-12*x-8)/(x^5+6*x^4+12*x^3+8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x}+\frac{1}{x}-\frac{64}{\left(2+x \right)^{2}}+\frac{64}{2+x}+4 x^{2}-4 x^{3}-x^{4}$&$36$\\ risch&$-x^{4}-4 x^{3}+4 x^{2}+\frac{65 x^{2}+68 x +4}{x \left(x^{2}+4 x +4\right)}+{\mathrm e}^{x}$&$43$\\ norman&$\frac{4+x^{2}+4 x +{\mathrm e}^{x} x^{3}-16 x^{5}-8 x^{6}-x^{7}+4 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{x} x^{2}}{x \left(2+x \right)^{2}}$&$51$\\ \hline \end{longtable}"," ",0,"exp(x)+1/x-64/(2+x)^2+64/(2+x)+4*x^2-4*x^3-x^4","A"
7592,1,37,25,0.057000," ","int(((-9*x^3+9*x^2-4*x+4)*ln(108*x^2+48)^2+(-36*x^2*ln(x)+36*x^3)*ln(108*x^2+48)+(-9*x^3+9*x^2-4*x+4)*exp(4))/((9*x^3+4*x)*ln(108*x^2+48)^4+((9*x^3+4*x)*ln(x)+(18*x^3+8*x)*exp(4)-9*x^4-4*x^2)*ln(108*x^2+48)^2+(9*x^3+4*x)*exp(4)*ln(x)+(9*x^3+4*x)*exp(4)^2+(-9*x^4-4*x^2)*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(108 x^{2}+48\right)^{2}+{\mathrm e}^{4}-x +\ln \left(x \right)\right)-\ln \left(\ln \left(108 x^{2}+48\right)^{2}+{\mathrm e}^{4}\right)$&$37$\\ \hline \end{longtable}"," ",0,"ln(ln(108*x^2+48)^2+exp(4)-x+ln(x))-ln(ln(108*x^2+48)^2+exp(4))","A"
7593,1,46,23,0.230000," ","int(((x*exp(2)*ln(x)+(-4*x^2+x-8)*exp(2))*ln(x*ln(x)-4*x^2+x-8)+(exp(2)*x+x^2)*ln(x)+(-8*x^2+2*x)*exp(2)-8*x^3+2*x^2)/((x*exp(2)^2+2*x^2*exp(2)+x^3)*ln(x)+(-4*x^2+x-8)*exp(2)^2+(-8*x^3+2*x^2-16*x)*exp(2)-4*x^4+x^3-8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{2} \ln \left(x \ln \left(x \right)-4 x^{2}+x -8\right)}{x +{\mathrm e}^{2}}+\ln \left(x \right)+\ln \left(\ln \left(x \right)-\frac{4 x^{2}-x +8}{x}\right)$&$46$\\ \hline \end{longtable}"," ",0,"-exp(2)/(x+exp(2))*ln(x*ln(x)-4*x^2+x-8)+ln(x)+ln(ln(x)-(4*x^2-x+8)/x)","A"
7594,1,64,24,0.044000," ","int(1/5*((32*x^7-40*x^4+8*x)*ln(5)^2+(28*x^6-20*x^4-16*x^3+8*x)*ln(5)+6*x^5-8*x^3+2*x)/ln(5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(5\right)^{2} \left(4 x^{8}-8 x^{5}+4 x^{2}\right)+\ln \left(5\right) \left(4 x^{7}-4 x^{5}-4 x^{4}+4 x^{2}\right)+x^{6}-2 x^{4}+x^{2}}{5 \ln \left(5\right)^{2}}$&$64$\\ norman&$\frac{\left(-\frac{8 \ln \left(5\right)}{5}-\frac{4}{5}\right) x^{5}+\frac{4 x^{7}}{5}+\frac{4 x^{8} \ln \left(5\right)}{5}+\frac{x^{6}}{5 \ln \left(5\right)}-\frac{2 \left(2 \ln \left(5\right)+1\right) x^{4}}{5 \ln \left(5\right)}+\frac{\left(4 \ln \left(5\right)^{2}+4 \ln \left(5\right)+1\right) x^{2}}{5 \ln \left(5\right)}}{\ln \left(5\right)}$&$74$\\ risch&$\frac{4 x^{8}}{5}+\frac{4 x^{7}}{5 \ln \left(5\right)}+\frac{x^{6}}{5 \ln \left(5\right)^{2}}-\frac{8 x^{5}}{5}-\frac{4 x^{5}}{5 \ln \left(5\right)}-\frac{4 x^{4}}{5 \ln \left(5\right)}-\frac{2 x^{4}}{5 \ln \left(5\right)^{2}}+\frac{4 x^{2}}{5}+\frac{4 x^{2}}{5 \ln \left(5\right)}+\frac{x^{2}}{5 \ln \left(5\right)^{2}}$&$80$\\ gosper&$\frac{\left(x -1\right) \left(4 x^{5} \ln \left(5\right)^{2}+4 x^{4} \ln \left(5\right)^{2}+4 x^{3} \ln \left(5\right)^{2}+4 x^{4} \ln \left(5\right)-4 x^{2} \ln \left(5\right)^{2}+4 x^{3} \ln \left(5\right)-4 x \ln \left(5\right)^{2}+x^{3}-4 \ln \left(5\right)^{2}-4 x \ln \left(5\right)+x^{2}-4 \ln \left(5\right)-x -1\right) x^{2}}{5 \ln \left(5\right)^{2}}$&$96$\\ \hline \end{longtable}"," ",0,"1/5/ln(5)^2*(ln(5)^2*(4*x^8-8*x^5+4*x^2)+ln(5)*(4*x^7-4*x^5-4*x^4+4*x^2)+x^6-2*x^4+x^2)","B"
7595,1,11,20,0.067000," ","int(1/2*(-x^2+4*x)*exp(36)^2*exp(-1/4*x+5)^2/exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{80-\frac{x}{2}}$&$11$\\ gosper&${\mathrm e}^{-\frac{x}{2}+10} x^{2} {\mathrm e}^{72} {\mathrm e}^{-2}$&$21$\\ norman&${\mathrm e}^{-\frac{x}{2}+10} x^{2} {\mathrm e}^{72} {\mathrm e}^{-2}$&$21$\\ derivativedivides&$-2 \,{\mathrm e}^{72} {\mathrm e}^{-2} \left(-200 \,{\mathrm e}^{-\frac{x}{2}+10}+80 \,{\mathrm e}^{-\frac{x}{2}+10} \left(-\frac{x}{4}+5\right)-8 \,{\mathrm e}^{-\frac{x}{2}+10} \left(-\frac{x}{4}+5\right)^{2}\right)$&$54$\\ default&$\frac{{\mathrm e}^{72} {\mathrm e}^{-2} \left(800 \,{\mathrm e}^{-\frac{x}{2}+10}-320 \,{\mathrm e}^{-\frac{x}{2}+10} \left(-\frac{x}{4}+5\right)+32 \,{\mathrm e}^{-\frac{x}{2}+10} \left(-\frac{x}{4}+5\right)^{2}\right)}{2}$&$54$\\ meijerg&$-4 \,{\mathrm e}^{50+\frac{x \,{\mathrm e}^{10}}{2}-\frac{x}{2}} \left(2-\frac{\left(\frac{3 x^{2} {\mathrm e}^{20}}{4}+3 x \,{\mathrm e}^{10}+6\right) {\mathrm e}^{-\frac{x \,{\mathrm e}^{10}}{2}}}{3}\right)+8 \,{\mathrm e}^{60+\frac{x \,{\mathrm e}^{10}}{2}-\frac{x}{2}} \left(1-\frac{\left(x \,{\mathrm e}^{10}+2\right) {\mathrm e}^{-\frac{x \,{\mathrm e}^{10}}{2}}}{2}\right)$&$68$\\ \hline \end{longtable}"," ",0,"x^2*exp(80-1/2*x)","A"
7596,1,9,14,0.209000," ","int(14/(4*x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{7 \ln \left(4 x -3\right)}{2}$&$9$\\ norman&$\frac{7 \ln \left(4 x -3\right)}{2}$&$9$\\ meijerg&$\frac{7 \ln \left(1-\frac{4 x}{3}\right)}{2}$&$9$\\ risch&$\frac{7 \ln \left(4 x -3\right)}{2}$&$9$\\ \hline \end{longtable}"," ",0,"7/2*ln(4*x-3)","A"
7597,1,26,27,0.275000," ","int(20*ln(ln(2)+I*Pi)*exp((ln(ln(2)+I*Pi)+3*exp(2)-3*x)/(exp(2)-x))^2/(exp(2)^2-2*exp(2)*x+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$10 \,{\mathrm e}^{6-\frac{2 \ln \left(\ln \left(2\right)+i \pi \right)}{x -{\mathrm e}^{2}}}$&$26$\\ default&$10 \,{\mathrm e}^{6-\frac{2 \ln \left(\ln \left(2\right)+i \pi \right)}{x -{\mathrm e}^{2}}}$&$26$\\ risch&$10 \left(i \left(-i \ln \left(2\right)+\pi \right)\right)^{\frac{2}{{\mathrm e}^{2}-x}} {\mathrm e}^{6}$&$26$\\ norman&$\frac{-10 x \,{\mathrm e}^{\frac{2 \ln \left(\ln \left(2\right)+i \pi \right)+6 \,{\mathrm e}^{2}-6 x}{{\mathrm e}^{2}-x}}+10 \,{\mathrm e}^{2} {\mathrm e}^{\frac{2 \ln \left(\ln \left(2\right)+i \pi \right)+6 \,{\mathrm e}^{2}-6 x}{{\mathrm e}^{2}-x}}}{{\mathrm e}^{2}-x}$&$74$\\ gosper&\verb|error in isolve/isolve: invalid subscript selector\|& N/A\\ \hline \end{longtable}"," ",0,"10*exp(3-ln(ln(2)+I*Pi)/(x-exp(2)))^2","A"
7598,1,9,8,0.019000," ","int((-4*ln(2)-16)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4+\ln \left(2\right)}{x^{4}}$&$9$\\ norman&$\frac{4+\ln \left(2\right)}{x^{4}}$&$9$\\ default&$-\frac{-4 \ln \left(2\right)-16}{4 x^{4}}$&$12$\\ risch&$\frac{\ln \left(2\right)}{x^{4}}+\frac{4}{x^{4}}$&$13$\\ \hline \end{longtable}"," ",0,"1/x^4*(4+ln(2))","A"
7599,1,98,25,0.232000," ","int(((-x^3-4*x^2)*ln(4+x)^2+(8*x^5+32*x^4-48*x^3-204*x^2-16*x)*ln(4+x)+(x^5+4*x^4)*exp(1)^2+(16*x^6+24*x^5-158*x^4-2*x^3-8*x^2)*exp(1)+48*x^7-128*x^6-672*x^5+2360*x^4-535*x^3-2438*x^2-403*x-12)/(x^5+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1+x^{2} \ln \left(4+x \right)^{2}+\left(-160+8 \,{\mathrm e}\right) x^{5}+\left(585+2 \,{\mathrm e}\right) x^{2}+\left(600-40 \,{\mathrm e}+{\mathrm e}^{2}\right) x^{4}+\left(-40+2 \,{\mathrm e}\right) x^{3} \ln \left(4+x \right)+50 x +16 x^{6}+50 x^{2} \ln \left(4+x \right)+2 \ln \left(4+x \right) x +8 \ln \left(4+x \right) x^{4}}{x^{3}}$&$98$\\ risch&$\frac{\ln \left(4+x \right)^{2}}{x}+\frac{2 \left(4 x^{3}+25 x +1\right) \ln \left(4+x \right)}{x^{2}}+\frac{x^{4} {\mathrm e}^{2}+8 x^{5} {\mathrm e}+16 x^{6}+2 \ln \left(-x -4\right) x^{3} {\mathrm e}-40 x^{4} {\mathrm e}-160 x^{5}-40 \ln \left(-x -4\right) x^{3}+600 x^{4}+2 x^{2} {\mathrm e}+585 x^{2}+50 x +1}{x^{3}}$&$111$\\ \hline \end{longtable}"," ",0,"(1+x^2*ln(4+x)^2+(-160+8*exp(1))*x^5+(585+2*exp(1))*x^2+(600-40*exp(1)+exp(1)^2)*x^4+(-40+2*exp(1))*x^3*ln(4+x)+50*x+16*x^6+50*x^2*ln(4+x)+2*ln(4+x)*x+8*ln(4+x)*x^4)/x^3","B"
7600,1,15,14,0.026000," ","int(1/12*(5*exp(4)+30)/exp(2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{5 \left({\mathrm e}^{4}+6\right) {\mathrm e}^{x -2}}{12}$&$15$\\ default&$\left(\frac{5 \,{\mathrm e}^{4}}{12}+\frac{5}{2}\right) {\mathrm e}^{x -2}$&$16$\\ norman&$\left(\frac{5 \,{\mathrm e}^{4}}{12}+\frac{5}{2}\right) {\mathrm e}^{x -2}$&$16$\\ risch&$\frac{5 \,{\mathrm e}^{x -2} {\mathrm e}^{4}}{12}+\frac{5 \,{\mathrm e}^{x -2}}{2}$&$16$\\ derivativedivides&$-\left(-\frac{5 \,{\mathrm e}^{4}}{12}-\frac{5}{2}\right) {\mathrm e}^{x -2}$&$17$\\ meijerg&$-\frac{5 \,{\mathrm e}^{-x \,{\mathrm e}^{-2}+x +4} \left(1-{\mathrm e}^{x \,{\mathrm e}^{-2}}\right)}{12}-\frac{5 \,{\mathrm e}^{-x \,{\mathrm e}^{-2}+x} \left(1-{\mathrm e}^{x \,{\mathrm e}^{-2}}\right)}{2}$&$41$\\ \hline \end{longtable}"," ",0,"5/12*(exp(4)+6)/exp(2-x)","A"
7601,1,18,21,0.127000," ","int(((-3*x-4)*ln(x*ln(2))+2+x)/(6*x^5+24*x^4+24*x^3)/exp(5)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \ln \left(2\right)\right) {\mathrm e}^{-20}}{6 x^{2} \left(2+x \right)}$&$18$\\ norman&$\frac{\ln \left(x \ln \left(2\right)\right) {\mathrm e}^{-20}}{6 x^{2} \left(2+x \right)}$&$20$\\ derivativedivides&$\frac{{\mathrm e}^{-20} \left(\frac{\ln \left(x \ln \left(2\right)\right) \ln \left(2\right)}{8}-\frac{\ln \left(2\right) \ln \left(x \ln \left(2\right)\right)}{4 x}-\frac{\ln \left(2\right)^{2} \ln \left(x \ln \left(2\right)\right) x}{8 \left(2 \ln \left(2\right)+x \ln \left(2\right)\right)}+\frac{\ln \left(2\right) \ln \left(x \ln \left(2\right)\right)}{2 x^{2}}\right)}{6 \ln \left(2\right)}$&$68$\\ default&$\frac{{\mathrm e}^{-20} \left(\frac{\ln \left(x \ln \left(2\right)\right) \ln \left(2\right)}{8}-\frac{\ln \left(2\right) \ln \left(x \ln \left(2\right)\right)}{4 x}-\frac{\ln \left(2\right)^{2} \ln \left(x \ln \left(2\right)\right) x}{8 \left(2 \ln \left(2\right)+x \ln \left(2\right)\right)}+\frac{\ln \left(2\right) \ln \left(x \ln \left(2\right)\right)}{2 x^{2}}\right)}{6 \ln \left(2\right)}$&$68$\\ \hline \end{longtable}"," ",0,"1/6*ln(x*ln(2))/x^2/(2+x)*exp(-20)","A"
7602,1,26,20,0.023000," ","int(1/15*(-x^4-4*x^3+81*x^2+162*x)*exp(x)+1/3*x^4-81/5*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{27 x^{3}}{5}+\frac{x^{5}}{15}+\frac{27 \,{\mathrm e}^{x} x^{2}}{5}-\frac{{\mathrm e}^{x} x^{4}}{15}$&$26$\\ norman&$-\frac{27 x^{3}}{5}+\frac{x^{5}}{15}+\frac{27 \,{\mathrm e}^{x} x^{2}}{5}-\frac{{\mathrm e}^{x} x^{4}}{15}$&$26$\\ risch&$\frac{\left(-x^{4}+81 x^{2}\right) {\mathrm e}^{x}}{15}+\frac{x^{5}}{15}-\frac{27 x^{3}}{5}$&$27$\\ \hline \end{longtable}"," ",0,"-27/5*x^3+1/15*x^5+27/5*exp(x)*x^2-1/15*exp(x)*x^4","A"
7603,1,20,25,0.047000," ","int(184884258895036416*((64*x^2+192)*ln(4*x^2+12)-128*x^2)*x^16/(4*ln(4*x^2+12)-x)^16/((4*x^3+12*x)*ln(4*x^2+12)-x^4-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{184884258895036416 x^{16}}{\left(-4 \ln \left(4 x^{2}+12\right)+x \right)^{16}}$&$20$\\ \hline \end{longtable}"," ",0,"184884258895036416*x^16/(-4*ln(4*x^2+12)+x)^16","A"
7604,1,17,18,0.247000," ","int(8*(71*x^3-354*x^2-10*x)*ln(2)*exp(71*x)/(x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{8 x^{2} \ln \left(2\right) {\mathrm e}^{71 x}}{x -5}$&$17$\\ norman&$\frac{8 x^{2} \ln \left(2\right) {\mathrm e}^{71 x}}{x -5}$&$17$\\ risch&$\frac{8 x^{2} \ln \left(2\right) {\mathrm e}^{71 x}}{x -5}$&$17$\\ default&$8 \ln \left(2\right) \left(x \,{\mathrm e}^{71 x}+5 \,{\mathrm e}^{71 x}+\frac{1775 \,{\mathrm e}^{71 x}}{71 x -355}\right)$&$31$\\ derivativedivides&$\frac{8 \ln \left(2\right) \left(71 x \,{\mathrm e}^{71 x}+355 \,{\mathrm e}^{71 x}+\frac{126025 \,{\mathrm e}^{71 x}}{71 x -355}\right)}{71}$&$32$\\ \hline \end{longtable}"," ",0,"8*x^2*ln(2)/(x-5)*exp(71*x)","A"
7605,1,2347,19,0.332000," ","int((((-4*x^2-2*x+8)*ln(x)+8)*ln(x^4*ln(x)^4)+(4*x^4+6*x^3+14*x^2+2*x-40)*ln(x)-8*x^2-8*x-40)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2347$\\ \hline \end{longtable}"," ",0,"10*x-8*x^2*ln(x)+16*ln(ln(x))^2-40*ln(ln(x))-40*ln(x)+16*ln(x)^2+x^4+2*x^3+11*x^2-8*x*ln(x)+I*Pi*x^2*csgn(I*ln(x)^4)^3+I*Pi*x^2*csgn(I*x^4*ln(x)^4)^3+I*Pi*x^2*csgn(I*x^2)^3+I*Pi*x^2*csgn(I*x^3)^3+I*Pi*x^2*csgn(I*x^4)^3+I*Pi*x^2*csgn(I*ln(x)^2)^3+I*Pi*x^2*csgn(I*ln(x)^3)^3+I*Pi*x*csgn(I*ln(x)^4)^3+I*Pi*x*csgn(I*x^4*ln(x)^4)^3+I*Pi*x*csgn(I*x^3)^3+I*Pi*x*csgn(I*x^4)^3+I*Pi*x*csgn(I*ln(x)^2)^3+I*Pi*x*csgn(I*x^2)^3-4*I*Pi*ln(ln(x))*csgn(I*ln(x)^4)^3-4*I*Pi*ln(ln(x))*csgn(I*x^4*ln(x)^4)^3-4*I*Pi*ln(ln(x))*csgn(I*x^2)^3-4*I*Pi*ln(ln(x))*csgn(I*x^3)^3-4*I*Pi*ln(ln(x))*csgn(I*x^4)^3-4*I*Pi*ln(ln(x))*csgn(I*ln(x)^2)^3-4*I*Pi*ln(ln(x))*csgn(I*ln(x)^3)^3-4*I*Pi*ln(x)*csgn(I*ln(x)^3)^3-4*I*Pi*ln(x)*csgn(I*ln(x)^4)^3-4*I*Pi*ln(x)*csgn(I*x^4*ln(x)^4)^3-4*I*Pi*ln(x)*csgn(I*x^2)^3-4*I*Pi*ln(x)*csgn(I*ln(x)^2)^3+I*Pi*x*csgn(I*ln(x)^3)^3-4*I*Pi*ln(x)*csgn(I*x^3)^3-4*I*Pi*ln(x)*csgn(I*x^4)^3-4*I*Pi*ln(x)*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-4*I*Pi*ln(x)*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)-4*I*Pi*ln(x)*csgn(I*ln(x))*csgn(I*ln(x)^2)*csgn(I*ln(x)^3)-4*I*Pi*ln(ln(x))*csgn(I*ln(x)^4)*csgn(I*x^4*ln(x)^4)*csgn(I*x^4)-4*I*Pi*ln(ln(x))*csgn(I*ln(x)^4)*csgn(I*ln(x))*csgn(I*ln(x)^3)-4*I*Pi*ln(ln(x))*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-4*I*Pi*ln(ln(x))*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)-4*I*Pi*ln(ln(x))*csgn(I*ln(x))*csgn(I*ln(x)^2)*csgn(I*ln(x)^3)+I*Pi*x*csgn(I*ln(x)^4)*csgn(I*ln(x))*csgn(I*ln(x)^3)+I*Pi*x*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+I*Pi*x*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)+(-8*x^2-8*x+32*ln(x))*ln(ln(x))+4*I*Pi*ln(x)*csgn(I*x)*csgn(I*x^4)^2+4*I*Pi*ln(x)*csgn(I*x^2)*csgn(I*x^3)^2-4*I*Pi*ln(x)*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+8*I*Pi*ln(x)*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+4*I*Pi*ln(x)*csgn(I*ln(x))*csgn(I*ln(x)^3)^2+4*I*Pi*ln(x)*csgn(I*ln(x)^2)*csgn(I*ln(x)^3)^2+4*I*Pi*ln(ln(x))*csgn(I*ln(x)^4)*csgn(I*x^4*ln(x)^4)^2+4*I*Pi*ln(ln(x))*csgn(I*x^4*ln(x)^4)^2*csgn(I*x^4)-4*I*Pi*ln(ln(x))*csgn(I*x)^2*csgn(I*x^2)-2*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2+4*I*Pi*ln(x)*csgn(I*x^3)*csgn(I*x^4)^2+I*Pi*x*csgn(I*ln(x))*csgn(I*ln(x)^2)*csgn(I*ln(x)^3)+I*Pi*x^2*csgn(I*ln(x)^4)*csgn(I*x^4*ln(x)^4)*csgn(I*x^4)+I*Pi*x^2*csgn(I*ln(x)^4)*csgn(I*ln(x))*csgn(I*ln(x)^3)+I*Pi*x^2*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+I*Pi*x^2*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)+I*Pi*x^2*csgn(I*ln(x))*csgn(I*ln(x)^2)*csgn(I*ln(x)^3)+I*Pi*x*csgn(I*ln(x)^4)*csgn(I*x^4*ln(x)^4)*csgn(I*x^4)-4*I*Pi*ln(x)*csgn(I*ln(x)^4)*csgn(I*x^4*ln(x)^4)*csgn(I*x^4)-4*I*Pi*ln(x)*csgn(I*ln(x)^4)*csgn(I*ln(x))*csgn(I*ln(x)^3)-I*Pi*x*csgn(I*x)*csgn(I*x^3)^2-I*Pi*x*csgn(I*x)*csgn(I*x^4)^2-I*Pi*x*csgn(I*x^2)*csgn(I*x^3)^2-2*I*Pi*x*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-I*Pi*x*csgn(I*ln(x))*csgn(I*ln(x)^3)^2-I*Pi*x*csgn(I*x^3)*csgn(I*x^4)^2-I*Pi*x*csgn(I*ln(x)^2)*csgn(I*ln(x)^3)^2-I*Pi*x^2*csgn(I*ln(x)^4)^2*csgn(I*ln(x))-I*Pi*x^2*csgn(I*ln(x)^4)^2*csgn(I*ln(x)^3)-I*Pi*x^2*csgn(I*ln(x)^4)*csgn(I*x^4*ln(x)^4)^2-I*Pi*x^2*csgn(I*x^4*ln(x)^4)^2*csgn(I*x^4)+8*I*Pi*ln(ln(x))*csgn(I*x)*csgn(I*x^2)^2+4*I*Pi*ln(ln(x))*csgn(I*x)*csgn(I*x^3)^2+4*I*Pi*ln(ln(x))*csgn(I*x)*csgn(I*x^4)^2+4*I*Pi*ln(ln(x))*csgn(I*x^2)*csgn(I*x^3)^2-4*I*Pi*ln(ln(x))*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+8*I*Pi*ln(ln(x))*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+4*I*Pi*ln(ln(x))*csgn(I*ln(x))*csgn(I*ln(x)^3)^2+4*I*Pi*ln(ln(x))*csgn(I*x^3)*csgn(I*x^4)^2+4*I*Pi*ln(ln(x))*csgn(I*ln(x)^2)*csgn(I*ln(x)^3)^2+4*I*Pi*ln(ln(x))*csgn(I*ln(x)^4)^2*csgn(I*ln(x))+4*I*Pi*ln(ln(x))*csgn(I*ln(x)^4)^2*csgn(I*ln(x)^3)-I*Pi*x*csgn(I*ln(x)^4)^2*csgn(I*ln(x))-I*Pi*x*csgn(I*ln(x)^4)^2*csgn(I*ln(x)^3)-I*Pi*x*csgn(I*ln(x)^4)*csgn(I*x^4*ln(x)^4)^2-I*Pi*x*csgn(I*x^4*ln(x)^4)^2*csgn(I*x^4)+I*Pi*x*csgn(I*x)^2*csgn(I*x^2)+I*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+I*Pi*x^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+I*Pi*x*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-2*I*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-I*Pi*x^2*csgn(I*x)*csgn(I*x^3)^2-I*Pi*x^2*csgn(I*x)*csgn(I*x^4)^2-I*Pi*x^2*csgn(I*x^2)*csgn(I*x^3)^2-2*I*Pi*x^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-I*Pi*x^2*csgn(I*ln(x))*csgn(I*ln(x)^3)^2-I*Pi*x^2*csgn(I*x^3)*csgn(I*x^4)^2-I*Pi*x^2*csgn(I*ln(x)^2)*csgn(I*ln(x)^3)^2+4*I*Pi*ln(x)*csgn(I*ln(x)^4)^2*csgn(I*ln(x))+4*I*Pi*ln(x)*csgn(I*ln(x)^4)^2*csgn(I*ln(x)^3)+4*I*Pi*ln(x)*csgn(I*ln(x)^4)*csgn(I*x^4*ln(x)^4)^2+4*I*Pi*ln(x)*csgn(I*x^4*ln(x)^4)^2*csgn(I*x^4)-4*I*Pi*ln(x)*csgn(I*x)^2*csgn(I*x^2)+8*I*Pi*ln(x)*csgn(I*x)*csgn(I*x^2)^2+4*I*Pi*ln(x)*csgn(I*x)*csgn(I*x^3)^2","C"
7606,1,20,21,0.081000," ","int((4*x*ln(x*exp(1))+2*x+1)/(x*ln(x*ln(2))+4*x^2*ln(x*exp(1))-2*x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(x \ln \left(2\right)\right)+4 x \ln \left(x \,{\mathrm e}\right)-2 x -2\right)$&$20$\\ risch&$\ln \left(4 x +1\right)+\ln \left(\ln \left(x \right)+\frac{i \left(-2 i \ln \left(\ln \left(2\right)\right)-4 i x +4 i\right)}{8 x +2}\right)$&$35$\\ \hline \end{longtable}"," ",0,"ln(ln(x*ln(2))+4*x*ln(x*exp(1))-2*x-2)","A"
7607,1,103,30,0.087000," ","int((((300*x^10-900*x^9-900*x^8+2400*x^7+3600*x^6-900*x^5-5100*x^4-4500*x^3-1800*x^2-300*x)*ln(x)+150*x^10-450*x^9-450*x^8+1200*x^7+1800*x^6-450*x^5-2550*x^4-2250*x^3-900*x^2-150*x)*exp(ln(x)^2)^2+((-300*x^10+600*x^9+900*x^8-600*x^7-1800*x^6-1200*x^5-300*x^4)*ln(x)-300*x^10+750*x^9+1350*x^8-1050*x^7-3600*x^6-2700*x^5-750*x^4)*exp(ln(x)^2)+150*x^10-300*x^9-900*x^8-600*x^7)/(x^9-3*x^8-3*x^7+8*x^6+12*x^5-3*x^4-17*x^3-15*x^2-6*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$75 x^{2}+150 x +\frac{1350 x^{5}+825 x^{4}-2250 x^{3}-3825 x^{2}-2250 x -525}{x^{6}-2 x^{5}-3 x^{4}+2 x^{3}+6 x^{2}+4 x +1}+75 \,{\mathrm e}^{2 \ln \left(x \right)^{2}} x^{2}-\frac{150 x^{5} {\mathrm e}^{\ln \left(x \right)^{2}}}{x^{3}-x^{2}-2 x -1}$&$103$\\ \hline \end{longtable}"," ",0,"75*x^2+150*x+(1350*x^5+825*x^4-2250*x^3-3825*x^2-2250*x-525)/(x^6-2*x^5-3*x^4+2*x^3+6*x^2+4*x+1)+75*exp(2*ln(x)^2)*x^2-150*x^5/(x^3-x^2-2*x-1)*exp(ln(x)^2)","B"
7608,1,12,11,0.049000," ","int(-50/3*x^2*ln(5/4)/exp(x^3*ln(5/4))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{25 \,{\mathrm e}^{-2 x^{3} \ln \left(\frac{5}{4}\right)}}{9}$&$12$\\ derivativedivides&$\frac{25 \,{\mathrm e}^{-2 x^{3} \ln \left(\frac{5}{4}\right)}}{9}$&$12$\\ default&$\frac{25 \,{\mathrm e}^{-2 x^{3} \ln \left(\frac{5}{4}\right)}}{9}$&$12$\\ norman&$\frac{25 \,{\mathrm e}^{-2 x^{3} \ln \left(\frac{5}{4}\right)}}{9}$&$12$\\ risch&$-\frac{\left(-\frac{50 \ln \left(5\right)}{3}+\frac{100 \ln \left(2\right)}{3}\right) 5^{-2 x^{3}} 4^{2 x^{3}}}{6 \left(\ln \left(5\right)-2 \ln \left(2\right)\right)}$&$35$\\ \hline \end{longtable}"," ",0,"25/9/exp(x^3*ln(5/4))^2","A"
7609,1,19,14,0.056000," ","int((x^2*exp(1)*exp(x)+1)/(x^2*exp(1)*exp(x)-5*x^2*exp(1)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{x}-\frac{\left(5 x \,{\mathrm e}+1\right) {\mathrm e}^{-1}}{x}\right)$&$19$\\ norman&$-\ln \left(x \right)+\ln \left(x \,{\mathrm e} \,{\mathrm e}^{x}-5 x \,{\mathrm e}-1\right)$&$20$\\ \hline \end{longtable}"," ",0,"ln(exp(x)-(5*x*exp(1)+1)/x*exp(-1))","A"
7610,1,82,30,1.760000," ","int(((8*x*exp(1)+16*x^3)*exp(x^2/exp(1))^2+(4*(12*x^2*exp(1)+8*x^4)*ln(5)^2+(-12*x^2+48*x)*exp(1)-8*x^4+48*x^3)*exp(x^2/exp(1))+64*x^3*exp(1)*ln(5)^4+4*(-8*x^3+36*x^2)*exp(1)*ln(5)^2+(4*x^3-36*x^2+72*x)*exp(1))*exp(4*x^2*exp(x^2/exp(1))^2+(16*x^3*ln(5)^2-4*x^3+24*x^2)*exp(x^2/exp(1))+16*x^4*ln(5)^4+4*(-2*x^4+12*x^3)*ln(5)^2+x^4-12*x^3+36*x^2)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{2} \left(16 \ln \left(5\right)^{4} x^{2}+16 \ln \left(5\right)^{2} {\mathrm e}^{x^{2} {\mathrm e}^{-1}} x -8 x^{2} \ln \left(5\right)^{2}+48 x \ln \left(5\right)^{2}-4 \,{\mathrm e}^{x^{2} {\mathrm e}^{-1}} x +x^{2}+4 \,{\mathrm e}^{2 x^{2} {\mathrm e}^{-1}}+24 \,{\mathrm e}^{x^{2} {\mathrm e}^{-1}}-12 x +36\right)}$&$82$\\ norman&${\mathrm e}^{4 x^{2} {\mathrm e}^{2 x^{2} {\mathrm e}^{-1}}+\left(16 x^{3} \ln \left(5\right)^{2}-4 x^{3}+24 x^{2}\right) {\mathrm e}^{x^{2} {\mathrm e}^{-1}}+16 x^{4} \ln \left(5\right)^{4}+4 \left(-2 x^{4}+12 x^{3}\right) \ln \left(5\right)^{2}+x^{4}-12 x^{3}+36 x^{2}}$&$88$\\ \hline \end{longtable}"," ",0,"exp(x^2*(16*ln(5)^4*x^2+16*ln(5)^2*exp(x^2*exp(-1))*x-8*x^2*ln(5)^2+48*x*ln(5)^2-4*exp(x^2*exp(-1))*x+x^2+4*exp(2*x^2*exp(-1))+24*exp(x^2*exp(-1))-12*x+36))","B"
7611,1,9,10,0.015000," ","int(-2*ln(3)^2/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\ln \left(3\right)^{2}}{x^{2}}$&$9$\\ default&$\frac{\ln \left(3\right)^{2}}{x^{2}}$&$9$\\ norman&$\frac{\ln \left(3\right)^{2}}{x^{2}}$&$9$\\ risch&$\frac{\ln \left(3\right)^{2}}{x^{2}}$&$9$\\ \hline \end{longtable}"," ",0,"ln(3)^2/x^2","A"
7612,1,30,27,0.174000," ","int((4*x^4-16*x^3+4*x^2+48*x+8)*exp((5*x^3-2*x^2-31*x-26)/(x^3-7*x-6))/(x^6-14*x^4-12*x^3+49*x^2+84*x+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$2 \,{\mathrm e}^{\frac{5 x^{3}-2 x^{2}-31 x -26}{x^{3}-7 x -6}}$&$30$\\ risch&$2 \,{\mathrm e}^{\frac{5 x^{3}-2 x^{2}-31 x -26}{\left(x -3\right) \left(2+x \right) \left(x +1\right)}}$&$35$\\ norman&$\frac{-14 x \,{\mathrm e}^{\frac{5 x^{3}-2 x^{2}-31 x -26}{x^{3}-7 x -6}}+2 x^{3} {\mathrm e}^{\frac{5 x^{3}-2 x^{2}-31 x -26}{x^{3}-7 x -6}}-12 \,{\mathrm e}^{\frac{5 x^{3}-2 x^{2}-31 x -26}{x^{3}-7 x -6}}}{x^{3}-7 x -6}$&$104$\\ \hline \end{longtable}"," ",0,"2*exp((5*x^3-2*x^2-31*x-26)/(x^3-7*x-6))","A"
7613,1,31,30,0.212000," ","int(((2*x^5+16*x^4+32*x^3)*exp(3/x)*exp(x^2)+(x^4+8*x^3+16*x^2)*exp(3/x)*exp(x)+28*x^2*exp(3/x)-50*x^2-15*x+180)/(x^4+8*x^3+16*x^2)/exp(3/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{28}{4+x}+{\mathrm e}^{x}+{\mathrm e}^{x^{2}}-\frac{5 \left(x -3\right) {\mathrm e}^{-\frac{3}{x}}}{4+x}$&$31$\\ \hline \end{longtable}"," ",0,"-28/(4+x)+exp(x)+exp(x^2)-5*(x-3)/(4+x)*exp(-3/x)","A"
7614,1,26,26,0.144000," ","int(1/2*(-8*x^6*exp((x-3)/x)-19*x-30)/x^3/exp((x-3)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{4}+\frac{\left(3 x +10\right) {\mathrm e}^{-\frac{x -3}{x}}}{2 x}$&$26$\\ derivativedivides&$-x^{4}-\frac{5 \,{\mathrm e}^{\frac{3}{x}-1} \left(1-\frac{3}{x}\right)}{3}+\frac{19 \,{\mathrm e}^{\frac{3}{x}-1}}{6}$&$36$\\ default&$-x^{4}-\frac{5 \,{\mathrm e}^{\frac{3}{x}-1} \left(1-\frac{3}{x}\right)}{3}+\frac{19 \,{\mathrm e}^{\frac{3}{x}-1}}{6}$&$36$\\ norman&$\frac{\left(5 x +\frac{3 x^{2}}{2}-x^{6} {\mathrm e}^{\frac{x -3}{x}}\right) {\mathrm e}^{-\frac{x -3}{x}}}{x^{2}}$&$37$\\ meijerg&$\frac{5 \,{\mathrm e}^{-\frac{3 \,{\mathrm e}^{-1}}{x}+1+\frac{3}{x}} \left(1-\frac{\left(2-\frac{6 \,{\mathrm e}^{-1}}{x}\right) {\mathrm e}^{\frac{3 \,{\mathrm e}^{-1}}{x}}}{2}\right)}{3}+324 \,{\mathrm e}^{\frac{3}{x}-\frac{3 \,{\mathrm e}^{-1}}{x}-4} \left(1-{\mathrm e}\right)^{4} \left(-\frac{x^{4} {\mathrm e}^{4}}{324 \left(1-{\mathrm e}\right)^{4}}-\frac{x^{3} {\mathrm e}^{3}}{81 \left(1-{\mathrm e}\right)^{3}}-\frac{x^{2} {\mathrm e}^{2}}{36 \left(1-{\mathrm e}\right)^{2}}-\frac{x \,{\mathrm e}}{18 \left(1-{\mathrm e}\right)}-\frac{37}{288}-\frac{\ln \left(x \right)}{24}+\frac{\ln \left(3\right)}{24}+\frac{i \pi}{24}+\frac{\ln \left(1-{\mathrm e}\right)}{24}+\frac{x^{4} {\mathrm e}^{4} \left(\frac{10125 \,{\mathrm e}^{-4} \left(1-{\mathrm e}\right)^{4}}{x^{4}}+\frac{6480 \,{\mathrm e}^{-3} \left(1-{\mathrm e}\right)^{3}}{x^{3}}+\frac{3240 \,{\mathrm e}^{-2} \left(1-{\mathrm e}\right)^{2}}{x^{2}}+\frac{1440 \,{\mathrm e}^{-1} \left(1-{\mathrm e}\right)}{x}+360\right)}{116640 \left(1-{\mathrm e}\right)^{4}}-\frac{x^{4} {\mathrm e}^{4+\frac{3 \,{\mathrm e}^{-1} \left(1-{\mathrm e}\right)}{x}} \left(\frac{135 \,{\mathrm e}^{-3} \left(1-{\mathrm e}\right)^{3}}{x^{3}}+\frac{45 \,{\mathrm e}^{-2} \left(1-{\mathrm e}\right)^{2}}{x^{2}}+\frac{30 \,{\mathrm e}^{-1} \left(1-{\mathrm e}\right)}{x}+30\right)}{9720 \left(1-{\mathrm e}\right)^{4}}-\frac{\ln \left(-\frac{3 \,{\mathrm e}^{-1} \left(1-{\mathrm e}\right)}{x}\right)}{24}-\frac{\expIntegralEi \left(1, -\frac{3 \,{\mathrm e}^{-1} \left(1-{\mathrm e}\right)}{x}\right)}{24}\right)-\frac{19 \,{\mathrm e}^{\frac{3}{x}-\frac{3 \,{\mathrm e}^{-1}}{x}} \left(1-{\mathrm e}^{\frac{3 \,{\mathrm e}^{-1}}{x}}\right)}{6}$&$356$\\ \hline \end{longtable}"," ",0,"-x^4+1/2*(3*x+10)/x*exp(-(x-3)/x)","A"
7615,1,64,17,0.036000," ","int((64*x*ln(2)+64*x)*ln(x)^4+(-384*x*ln(2)-384*x)*ln(x)^3+(768*x*ln(2)+768*x)*ln(x)^2+(-512*x*ln(2)-512*x)*ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$32 x^{2} \left(1+\ln \left(2\right)\right) \ln \left(x \right)^{4}-256 x^{2} \left(1+\ln \left(2\right)\right) \ln \left(x \right)^{3}+768 x^{2} \left(1+\ln \left(2\right)\right) \ln \left(x \right)^{2}-1024 x^{2} \left(1+\ln \left(2\right)\right) \ln \left(x \right)+512 x^{2} \ln \left(2\right)+512 x^{2}$&$64$\\ norman&$\left(512 \ln \left(2\right)+512\right) x^{2}+\left(-1024-1024 \ln \left(2\right)\right) x^{2} \ln \left(x \right)+\left(-256 \ln \left(2\right)-256\right) x^{2} \ln \left(x \right)^{3}+\left(32 \ln \left(2\right)+32\right) x^{2} \ln \left(x \right)^{4}+\left(768 \ln \left(2\right)+768\right) x^{2} \ln \left(x \right)^{2}$&$66$\\ default&$-1024 x^{2} \ln \left(x \right)+512 x^{2}-1024 x^{2} \ln \left(2\right) \ln \left(x \right)+512 x^{2} \ln \left(2\right)-256 x^{2} \ln \left(x \right)^{3}+768 x^{2} \ln \left(x \right)^{2}-256 \ln \left(2\right) x^{2} \ln \left(x \right)^{3}+768 x^{2} \ln \left(2\right) \ln \left(x \right)^{2}+32 x^{2} \ln \left(x \right)^{4}+32 \ln \left(2\right) x^{2} \ln \left(x \right)^{4}$&$90$\\ \hline \end{longtable}"," ",0,"32*x^2*(1+ln(2))*ln(x)^4-256*x^2*(1+ln(2))*ln(x)^3+768*x^2*(1+ln(2))*ln(x)^2-1024*x^2*(1+ln(2))*ln(x)+512*x^2*ln(2)+512*x^2","B"
7616,1,21,24,0.235000," ","int(((100*exp(exp((ln(5)+4*exp(5))/exp(5)))^2-25*x)*ln(4*exp(exp((ln(5)+4*exp(5))/exp(5)))^2-x)*ln(ln(4*exp(exp((ln(5)+4*exp(5))/exp(5)))^2-x))-25*x)/(4*exp(exp((ln(5)+4*exp(5))/exp(5)))^2-x)/ln(4*exp(exp((ln(5)+4*exp(5))/exp(5)))^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x \ln \left(\ln \left(4 \,{\mathrm e}^{2 \,5^{{\mathrm e}^{-5}} {\mathrm e}^{4}}-x \right)\right)$&$21$\\ default&$25 \ln \left(\ln \left(4 \,{\mathrm e}^{2 \,{\mathrm e}^{\left(\ln \left(5\right)+4 \,{\mathrm e}^{5}\right) {\mathrm e}^{-5}}}-x \right)\right) x$&$28$\\ norman&$25 \ln \left(\ln \left(4 \,{\mathrm e}^{2 \,{\mathrm e}^{\left(\ln \left(5\right)+4 \,{\mathrm e}^{5}\right) {\mathrm e}^{-5}}}-x \right)\right) x$&$28$\\ \hline \end{longtable}"," ",0,"25*x*ln(ln(4*exp(2*5^exp(-5)*exp(4))-x))","A"
7617,1,13,15,0.196000," ","int((2*ln(ln(2))-2*x-1)/(ln(ln(2))-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\ln \left(x -\ln \left(\ln \left(2\right)\right)\right)$&$13$\\ norman&$2 x +\ln \left(\ln \left(\ln \left(2\right)\right)-x \right)$&$13$\\ risch&$2 x +\ln \left(x -\ln \left(\ln \left(2\right)\right)\right)$&$13$\\ meijerg&$-2 \ln \left(\ln \left(2\right)\right) \ln \left(1-\frac{x}{\ln \left(\ln \left(2\right)\right)}\right)-2 \ln \left(\ln \left(2\right)\right) \left(-\frac{x}{\ln \left(\ln \left(2\right)\right)}-\ln \left(1-\frac{x}{\ln \left(\ln \left(2\right)\right)}\right)\right)+\ln \left(1-\frac{x}{\ln \left(\ln \left(2\right)\right)}\right)$&$56$\\ \hline \end{longtable}"," ",0,"2*x+ln(x-ln(ln(2)))","A"
7618,1,37,33,0.111000," ","int(((-48*x+168)*exp(exp(x)^2)^2+((60*x^2-420*x+180)*exp(x)^2-444*x+1554)*exp(exp(x)^2)-1008*x+3528)/((16*x^4-224*x^3+880*x^2-672*x+144)*exp(exp(x)^2)^2+(168*x^4-2352*x^3+9240*x^2-7056*x+1512)*exp(exp(x)^2)+441*x^4-6174*x^3+24255*x^2-18522*x+3969),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{2 \left(x^{2}-7 x +3\right)}-\frac{15}{2 \left(x^{2}-7 x +3\right) \left(4 \,{\mathrm e}^{{\mathrm e}^{2 x}}+21\right)}$&$37$\\ \hline \end{longtable}"," ",0,"3/2/(x^2-7*x+3)-15/2/(x^2-7*x+3)/(4*exp(exp(2*x))+21)","A"
7619,1,12,13,0.057000," ","int(1/10*(-2*ln(2)*ln(4*x)+2*ln(2)*ln(x)-4*x*ln(2))/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x \ln \left(2\right)}{5}-\frac{x^{2}}{5}$&$12$\\ norman&$-\frac{x^{2}}{5}+\frac{x \ln \left(x \right)}{5}-\frac{x \ln \left(4 x \right)}{5}$&$19$\\ default&$\frac{x \ln \left(2\right) \ln \left(x \right)-x^{2} \ln \left(2\right)-\ln \left(2\right) \ln \left(4 x \right) x}{5 \ln \left(2\right)}$&$30$\\ \hline \end{longtable}"," ",0,"-2/5*x*ln(2)-1/5*x^2","A"
7620,1,239,29,0.281000," ","int(((3*x^2+3*x)*ln(x)^2+((-6*x^2-6*x)*exp(2)-6*x^2+6*x)*ln(x)+(3*x^2+3*x)*exp(2)^2+(6*x^2-6*x)*exp(2)+3*x^2-9*x-12)/(((x^2*ln(3)-5*x^2)*ln(x)^2+((-2*x^2*exp(2)-2*x^2+4*x)*ln(3)+10*x^2*exp(2)+10*x^2-20*x)*ln(x)+(x^2*exp(2)^2+(2*x^2-4*x)*exp(2)+x^2-4*x)*ln(3)-5*x^2*exp(2)^2+(-10*x^2+20*x)*exp(2)-5*x^2+20*x)*ln((x*ln(x)-exp(2)*x-x+4)/(ln(x)-1-exp(2)))^2+((2*x^3*ln(3)-10*x^3)*ln(x)^2+((-4*x^3*exp(2)-4*x^3+8*x^2)*ln(3)+20*x^3*exp(2)+20*x^3-40*x^2)*ln(x)+(2*x^3*exp(2)^2+(4*x^3-8*x^2)*exp(2)+2*x^3-8*x^2)*ln(3)-10*x^3*exp(2)^2+(-20*x^3+40*x^2)*exp(2)-10*x^3+40*x^2)*ln((x*ln(x)-exp(2)*x-x+4)/(ln(x)-1-exp(2)))+(x^4*ln(3)-5*x^4)*ln(x)^2+((-2*x^4*exp(2)-2*x^4+4*x^3)*ln(3)+10*x^4*exp(2)+10*x^4-20*x^3)*ln(x)+(x^4*exp(2)^2+(2*x^4-4*x^3)*exp(2)+x^4-4*x^3)*ln(3)-5*x^4*exp(2)^2+(-10*x^4+20*x^3)*exp(2)-5*x^4+20*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{6 i}{\left(\ln \left(3\right)-5\right) \left(\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{2} x -4+x \left(1-\ln \left(x \right)\right)\right)\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2}-\ln \left(x \right)+1}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2} x -4+x \left(1-\ln \left(x \right)\right)\right)}{{\mathrm e}^{2}-\ln \left(x \right)+1}\right)-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{2} x -4+x \left(1-\ln \left(x \right)\right)\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2} x -4+x \left(1-\ln \left(x \right)\right)\right)}{{\mathrm e}^{2}-\ln \left(x \right)+1}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2}-\ln \left(x \right)+1}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2} x -4+x \left(1-\ln \left(x \right)\right)\right)}{{\mathrm e}^{2}-\ln \left(x \right)+1}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2} x -4+x \left(1-\ln \left(x \right)\right)\right)}{{\mathrm e}^{2}-\ln \left(x \right)+1}\right)^{3}+2 i x -2 i \ln \left({\mathrm e}^{2}-\ln \left(x \right)+1\right)+2 i \ln \left({\mathrm e}^{2} x -4+x \left(1-\ln \left(x \right)\right)\right)\right)}$&$239$\\ \hline \end{longtable}"," ",0,"-6*I/(ln(3)-5)/(Pi*csgn(I*(exp(2)*x-4+x*(1-ln(x))))*csgn(I/(exp(2)-ln(x)+1))*csgn(I/(exp(2)-ln(x)+1)*(exp(2)*x-4+x*(1-ln(x))))-Pi*csgn(I*(exp(2)*x-4+x*(1-ln(x))))*csgn(I/(exp(2)-ln(x)+1)*(exp(2)*x-4+x*(1-ln(x))))^2-Pi*csgn(I/(exp(2)-ln(x)+1))*csgn(I/(exp(2)-ln(x)+1)*(exp(2)*x-4+x*(1-ln(x))))^2+Pi*csgn(I/(exp(2)-ln(x)+1)*(exp(2)*x-4+x*(1-ln(x))))^3+2*I*x-2*I*ln(exp(2)-ln(x)+1)+2*I*ln(exp(2)*x-4+x*(1-ln(x))))","C"
7621,1,55,29,0.252000," ","int((-exp(exp(1))+(x^2+2*x-4)*ln(2)^2*exp(1/x)^2+(2*x^2+6*x-4)*ln(2)^2*ln(5)*exp(1/x)+(x^2+4*x)*ln(2)^2*ln(5)^2)/(2*x^2+8*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(2\right)^{2} \ln \left(5\right) {\mathrm e}^{\frac{1}{x}} x^{2}+\frac{x^{2} \ln \left(2\right)^{2} \ln \left(5\right)^{2}}{2}+\frac{\ln \left(2\right)^{2} {\mathrm e}^{\frac{2}{x}} x^{2}}{2}+\frac{{\mathrm e}^{{\mathrm e}}}{2}}{2+x}$&$55$\\ risch&$\frac{x \ln \left(2\right)^{2} \ln \left(5\right)^{2}}{2}+\frac{2 \ln \left(2\right)^{2} \ln \left(5\right)^{2}}{2+x}+\frac{{\mathrm e}^{{\mathrm e}}}{2 x +4}+\frac{\ln \left(2\right)^{2} {\mathrm e}^{\frac{2}{x}} x^{2}}{2 x +4}+\frac{\ln \left(2\right)^{2} \ln \left(5\right) x^{2} {\mathrm e}^{\frac{1}{x}}}{2+x}$&$77$\\ derivativedivides&$\frac{\ln \left(2\right)^{2} {\mathrm e}^{\frac{2}{x}} x}{2}-\frac{\ln \left(2\right)^{2} \ln \left(5\right)^{2}}{\frac{2}{x}+1}+\frac{x \ln \left(2\right)^{2} \ln \left(5\right)^{2}}{2}-\frac{{\mathrm e}^{{\mathrm e}}}{4 \left(\frac{2}{x}+1\right)}-\frac{\ln \left(2\right)^{2} {\mathrm e}^{\frac{2}{x}}}{2 \left(\frac{1}{x}+\frac{1}{2}\right)}+\ln \left(2\right)^{2} \ln \left(5\right) {\mathrm e}^{\frac{1}{x}} x -\frac{\ln \left(2\right)^{2} \ln \left(5\right) {\mathrm e}^{\frac{1}{x}}}{\frac{1}{x}+\frac{1}{2}}$&$109$\\ default&$\frac{\ln \left(2\right)^{2} {\mathrm e}^{\frac{2}{x}} x}{2}-\frac{\ln \left(2\right)^{2} \ln \left(5\right)^{2}}{\frac{2}{x}+1}+\frac{x \ln \left(2\right)^{2} \ln \left(5\right)^{2}}{2}-\frac{{\mathrm e}^{{\mathrm e}}}{4 \left(\frac{2}{x}+1\right)}-\frac{\ln \left(2\right)^{2} {\mathrm e}^{\frac{2}{x}}}{2 \left(\frac{1}{x}+\frac{1}{2}\right)}+\ln \left(2\right)^{2} \ln \left(5\right) {\mathrm e}^{\frac{1}{x}} x -\frac{\ln \left(2\right)^{2} \ln \left(5\right) {\mathrm e}^{\frac{1}{x}}}{\frac{1}{x}+\frac{1}{2}}$&$109$\\ \hline \end{longtable}"," ",0,"(ln(2)^2*ln(5)*exp(1/x)*x^2+1/2*x^2*ln(2)^2*ln(5)^2+1/2*ln(2)^2*exp(1/x)^2*x^2+1/2*exp(exp(1)))/(2+x)","A"
7622,1,25,25,0.109000," ","int(((x^2+1)*exp((-x^2+3*x+1)/x)+2*x^2-x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\ln \left(x \right)-{\mathrm e}^{-\frac{x^{2}-3 x -1}{x}}$&$25$\\ norman&$\frac{2 x^{2}-x \,{\mathrm e}^{\frac{-x^{2}+3 x +1}{x}}}{x}-\ln \left(x \right)$&$34$\\ \hline \end{longtable}"," ",0,"2*x-ln(x)-exp(-(x^2-3*x-1)/x)","A"
7623,1,13,12,0.042000," ","int((-5*ln(x)+x+6)/(125*ln(x)^3+(75*x+300)*ln(x)^2+(15*x^2+120*x+240)*ln(x)+x^3+12*x^2+48*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x}{\left(5 \ln \left(x \right)+4+x \right)^{2}}$&$13$\\ risch&$-\frac{x}{\left(5 \ln \left(x \right)+4+x \right)^{2}}$&$13$\\ \hline \end{longtable}"," ",0,"-x/(5*ln(x)+4+x)^2","A"
7624,1,50,34,0.223000," ","int((((exp(x)*x-1)*exp(exp(x)*x+2)^2+((-2*x*ln(5)+4*x^4+12*x^3+12*x^2+4*x)*exp(x)+2*ln(5)-8*x^2-8*x)*exp(exp(x)*x+2)+x*ln(5)^2*exp(x)-ln(5)^2+(8*x^2+8*x)*ln(5))*exp((-exp(x)*exp(exp(x)*x+2)+exp(x)*ln(5)+4*x^2+8*x+4)/(exp(exp(x)*x+2)-ln(5)))+2*exp(exp(x)*x+2)^2-4*ln(5)*exp(exp(x)*x+2)+2*ln(5)^2)/(exp(exp(x)*x+2)^2-2*ln(5)*exp(exp(x)*x+2)+ln(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{-\frac{-{\mathrm e}^{x +{\mathrm e}^{x} x +2}+{\mathrm e}^{x} \ln \left(5\right)+4 x^{2}+8 x +4}{-{\mathrm e}^{{\mathrm e}^{x} x +2}+\ln \left(5\right)}}+2 x$&$50$\\ \hline \end{longtable}"," ",0,"-x*exp(-(-exp(x+exp(x)*x+2)+exp(x)*ln(5)+4*x^2+8*x+4)/(-exp(exp(x)*x+2)+ln(5)))+2*x","A"
7625,1,16,16,0.212000," ","int((-2*x^2+4*x+25)/(x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+2 x +27 \ln \left(x -1\right)$&$16$\\ norman&$-x^{2}+2 x +27 \ln \left(x -1\right)$&$16$\\ risch&$-x^{2}+2 x +27 \ln \left(x -1\right)$&$16$\\ meijerg&$27 \ln \left(1-x \right)-\frac{x \left(6+3 x \right)}{3}+4 x$&$21$\\ \hline \end{longtable}"," ",0,"-x^2+2*x+27*ln(x-1)","A"
7626,1,26,23,0.040000," ","int(((-2*x^4-3*x^3-10)*exp(x^2+4*x+8)-x^4-125*x^3+10*x+1260)/(x^3*exp(x^2+4*x+8)-x^4-126*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{5}{x^{2}}+8-\ln \left({\mathrm e}^{x^{2}+4 x +8}-x -126\right)$&$26$\\ norman&$\frac{x^{3}+5}{x^{2}}-\ln \left(x -{\mathrm e}^{x^{2}+4 x +8}+126\right)$&$28$\\ \hline \end{longtable}"," ",0,"x+5/x^2+8-ln(exp(x^2+4*x+8)-x-126)","A"
7627,1,44,19,0.136000," ","int(1/5*((16*x+8)*exp(x)^2+(8*x^2+56*x+40)*exp(3)*exp(x)+(6*x^2+40*x+50)*exp(3)^2)*exp(1/5*(4*x*exp(x)^2+(4*x^2+20*x)*exp(3)*exp(x)+(x^3+10*x^2+25*x)*exp(3)^2)/exp(3)^2)/exp(3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{\frac{x \left(x^{2} {\mathrm e}^{6}+4 \,{\mathrm e}^{3+x} x +10 x \,{\mathrm e}^{6}+20 \,{\mathrm e}^{3+x}+25 \,{\mathrm e}^{6}+4 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{-6}}{5}}$&$44$\\ norman&$2 \,{\mathrm e}^{\frac{\left(4 x \,{\mathrm e}^{2 x}+\left(4 x^{2}+20 x \right) {\mathrm e}^{3} {\mathrm e}^{x}+\left(x^{3}+10 x^{2}+25 x \right) {\mathrm e}^{6}\right) {\mathrm e}^{-6}}{5}}$&$49$\\ \hline \end{longtable}"," ",0,"2*exp(1/5*x*(x^2*exp(6)+4*exp(3+x)*x+10*x*exp(6)+20*exp(3+x)+25*exp(6)+4*exp(2*x))*exp(-6))","B"
7628,0,0,21,0.085000," ","int(((192*x^5+1760*x^4+6352*x^3+11304*x^2+9936*x+3456)*ln((-6*x^2-25*x-24)/(x^2+4*x+4))^4+(-32*x^4-80*x^3+72*x^2+324*x+216)*ln((-6*x^2-25*x-24)/(x^2+4*x+4))^3)/(3*x^2+14*x+16),x)","\[\int \frac{\left(192 x^{5}+1760 x^{4}+6352 x^{3}+11304 x^{2}+9936 x +3456\right) \ln \left(\frac{-6 x^{2}-25 x -24}{x^{2}+4 x +4}\right)^{4}+\left(-32 x^{4}-80 x^{3}+72 x^{2}+324 x +216\right) \ln \left(\frac{-6 x^{2}-25 x -24}{x^{2}+4 x +4}\right)^{3}}{3 x^{2}+14 x +16}\, dx\]"," ",0,"int(((192*x^5+1760*x^4+6352*x^3+11304*x^2+9936*x+3456)*ln((-6*x^2-25*x-24)/(x^2+4*x+4))^4+(-32*x^4-80*x^3+72*x^2+324*x+216)*ln((-6*x^2-25*x-24)/(x^2+4*x+4))^3)/(3*x^2+14*x+16),x)","F"
7629,1,24,22,0.116000," ","int(1/25*(((-x-1)*exp(x)-6*x^2*ln(5))*exp((exp(x)*x+2*x^3*ln(5))/ln(5))-25*ln(5))/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{{\mathrm e}^{\frac{x \left(2 x^{2} \ln \left(5\right)+{\mathrm e}^{x}\right)}{\ln \left(5\right)}}}{25}$&$24$\\ norman&$-x -\frac{{\mathrm e}^{\frac{{\mathrm e}^{x} x +2 x^{3} \ln \left(5\right)}{\ln \left(5\right)}}}{25}$&$25$\\ default&$\frac{-\ln \left(5\right) {\mathrm e}^{\frac{{\mathrm e}^{x} x +2 x^{3} \ln \left(5\right)}{\ln \left(5\right)}}-25 x \ln \left(5\right)}{25 \ln \left(5\right)}$&$35$\\ \hline \end{longtable}"," ",0,"-x-1/25*exp(x*(2*x^2*ln(5)+exp(x))/ln(5))","A"
7630,1,24,23,0.222000," ","int(((-6*x-12)*ln(x)+(-x^2-2*x)*exp(x)+16*x^3+28*x^2-4*x)/(4*x^2+8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(2+x \right)-x -\frac{{\mathrm e}^{x}}{4}-\frac{3 \ln \left(x \right)^{2}}{4}+2 x^{2}$&$24$\\ norman&$\ln \left(2+x \right)-x -\frac{{\mathrm e}^{x}}{4}-\frac{3 \ln \left(x \right)^{2}}{4}+2 x^{2}$&$24$\\ risch&$\ln \left(2+x \right)-x -\frac{{\mathrm e}^{x}}{4}-\frac{3 \ln \left(x \right)^{2}}{4}+2 x^{2}$&$24$\\ \hline \end{longtable}"," ",0,"ln(2+x)-x-1/4*exp(x)-3/4*ln(x)^2+2*x^2","A"
7631,1,27,18,0.033000," ","int((4*ln(5)-4*exp(4)-120*x+20)*ln(x)^2+(8*ln(5)-8*exp(4)-120*x+40)*ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(4 \ln \left(5\right)-4 \,{\mathrm e}^{4}+20\right) x \ln \left(x \right)^{2}-60 x^{2} \ln \left(x \right)^{2}$&$27$\\ default&$4 \ln \left(5\right) \ln \left(x \right)^{2} x -4 x \,{\mathrm e}^{4} \ln \left(x \right)^{2}-60 x^{2} \ln \left(x \right)^{2}+20 x \ln \left(x \right)^{2}$&$36$\\ risch&$4 \ln \left(5\right) \ln \left(x \right)^{2} x -4 x \,{\mathrm e}^{4} \ln \left(x \right)^{2}-60 x^{2} \ln \left(x \right)^{2}+20 x \ln \left(x \right)^{2}$&$36$\\ \hline \end{longtable}"," ",0,"(4*ln(5)-4*exp(4)+20)*x*ln(x)^2-60*x^2*ln(x)^2","A"
7632,1,24,25,0.080000," ","int((4*exp(x+ln(x))^2+(-2*x-1)*exp(2)^2-4*x^2*exp(2)-2*x^3+x^2)/exp(x+ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x +\frac{\left({\mathrm e}^{4}+2 \,{\mathrm e}^{2} x +x^{2}\right) {\mathrm e}^{-2 x}}{x}$&$24$\\ norman&$\frac{\left(x^{3}+x \,{\mathrm e}^{4}+4 \,{\mathrm e}^{2 x} x^{3}+2 x^{2} {\mathrm e}^{2}\right) {\mathrm e}^{-2 x}}{x^{2}}$&$36$\\ default&$4 x +{\mathrm e}^{-2 x} x +2 \,{\mathrm e}^{-2 x} {\mathrm e}^{2}+2 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{-2 x}}{2 x}-\expIntegralEi \left(1, 2 x \right)\right)+2 \,{\mathrm e}^{4} \expIntegralEi \left(1, 2 x \right)$&$49$\\ \hline \end{longtable}"," ",0,"4*x+(exp(4)+2*exp(2)*x+x^2)/x*exp(-2*x)","A"
7633,1,24,25,0.046000," ","int(((-x^4-2*x^3+7*x^2+8*x-16)*ln(3)+2*x^4+4*x^3-13*x^2+784*x+436)/(x^4+2*x^3-7*x^2-8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-x -400}{x^{2}+x -4}+2 x -x \ln \left(3\right)$&$24$\\ risch&$\frac{-x -400}{x^{2}+x -4}+2 x -x \ln \left(3\right)$&$24$\\ norman&$\frac{\left(2-\ln \left(3\right)\right) x^{3}+\left(5 \ln \left(3\right)-11\right) x -392-4 \ln \left(3\right)}{x^{2}+x -4}$&$34$\\ gosper&$-\frac{x^{3} \ln \left(3\right)-2 x^{3}-5 x \ln \left(3\right)+4 \ln \left(3\right)+11 x +392}{x^{2}+x -4}$&$36$\\ \hline \end{longtable}"," ",0,"(-x-400)/(x^2+x-4)+2*x-x*ln(3)","A"
7634,1,242,22,0.138000," ","int((((2*x^10*ln(5)^16+24*x^5*ln(5)^8-128)*ln(x)+x^10*ln(5)^16-8*x^5*ln(5)^8+16)*ln(x^2)+(-2*x^10*ln(5)^16+16*x^5*ln(5)^8-32)*ln(x))/x^9/ln(5)^16/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{10} \ln \left(5\right)^{16}-8 x^{5} \ln \left(5\right)^{8}+16}{2 \ln \left(5\right)^{16} x^{8}}-\frac{\pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(\ln \left(5\right)^{16} x^{10} \mathrm{csgn}\left(i x \right)^{2}-2 \ln \left(5\right)^{16} x^{10} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)+\ln \left(5\right)^{16} x^{10} \mathrm{csgn}\left(i x^{2}\right)^{2}-8 \ln \left(5\right)^{8} x^{5} \mathrm{csgn}\left(i x \right)^{2}+16 \ln \left(5\right)^{8} x^{5} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)-8 \ln \left(5\right)^{8} x^{5} \mathrm{csgn}\left(i x^{2}\right)^{2}+16 \mathrm{csgn}\left(i x \right)^{2}-32 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+16 \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{2 \ln \left(5\right)^{16} x^{8} \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}$&$242$\\ \hline \end{longtable}"," ",0,"1/2/ln(5)^16*(x^10*ln(5)^16-8*x^5*ln(5)^8+16)/x^8-1/2/ln(5)^16*Pi*csgn(I*x^2)*(ln(5)^16*x^10*csgn(I*x)^2-2*ln(5)^16*x^10*csgn(I*x)*csgn(I*x^2)+ln(5)^16*x^10*csgn(I*x^2)^2-8*ln(5)^8*x^5*csgn(I*x)^2+16*ln(5)^8*x^5*csgn(I*x)*csgn(I*x^2)-8*ln(5)^8*x^5*csgn(I*x^2)^2+16*csgn(I*x)^2-32*csgn(I*x^2)*csgn(I*x)+16*csgn(I*x^2)^2)/x^8/(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)","C"
7635,1,26,21,0.070000," ","int(1/5*(((2*x^2+x-1)*exp(x^2+x+2)-ln(3)+5*x^2)*ln(x)+exp(x^2+x+2)+ln(3)+5*x^2+5*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(5 x^{2}+\ln \left(3\right)+{\mathrm e}^{x^{2}+x +2}\right) \ln \left(x \right)}{5 x}+\ln \left(x \right)$&$26$\\ default&$\frac{{\mathrm e}^{x^{2}+x +2} \ln \left(x \right)}{5 x}+\ln \left(x \right)+x \ln \left(x \right)+\frac{\ln \left(3\right) \ln \left(x \right)}{5 x}$&$31$\\ norman&$\frac{x^{2} \ln \left(x \right)+x \ln \left(x \right)+\frac{\ln \left(3\right) \ln \left(x \right)}{5}+\frac{\ln \left(x \right) {\mathrm e}^{x^{2}+x +2}}{5}}{x}$&$33$\\ \hline \end{longtable}"," ",0,"1/5*(5*x^2+ln(3)+exp(x^2+x+2))/x*ln(x)+ln(x)","A"
7636,1,76,25,0.091000," ","int(((2*(-9*x^2-63*x)*exp(5)*ln(2)+(-18*x^2-126*x)*exp(5))*ln(x^2)+2*(-18*x-90)*exp(5)*ln(2)+(-36*x-180)*exp(5))/(x^4+15*x^3+75*x^2+125*x)/exp(x)/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{36 i \left(1+\ln \left(2\right)\right) {\mathrm e}^{5-x}}{\left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) \left(x^{2}+10 x +25\right)}$&$76$\\ \hline \end{longtable}"," ",0,"36*I/(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)/(x^2+10*x+25)*(1+ln(2))*exp(5-x)","C"
7637,1,32,31,0.325000," ","int(((-20*x^4+80*x^3-120*x^2+80*x-20)*exp(x*exp(4)/(4*x^2-8*x+4))^2+((x^3+x^2)*exp(4)-4*x^5+220*x^4-836*x^3+1228*x^2-808*x+200)*exp(x*exp(4)/(4*x^2-8*x+4))+20*x^5-600*x^4+2180*x^3-3140*x^2+2040*x-500)/((4*x^3-12*x^2+12*x-4)*exp(x)*exp(x*exp(4)/(4*x^2-8*x+4))^2+(-40*x^3+120*x^2-120*x+40)*exp(x)*exp(x*exp(4)/(4*x^2-8*x+4))+(100*x^3-300*x^2+300*x-100)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x \,{\mathrm e}^{-x}+\frac{x^{2} {\mathrm e}^{-x}}{{\mathrm e}^{\frac{x \,{\mathrm e}^{4}}{4 \left(x -1\right)^{2}}}-5}$&$32$\\ \hline \end{longtable}"," ",0,"5*x*exp(-x)+x^2*exp(-x)/(exp(1/4*x*exp(4)/(x-1)^2)-5)","A"
7638,1,38,22,0.249000," ","int(1/2*((2*(2*x^3+5*x^2+4*x+1)*ln(2)+4*x^2+8*x+4)*exp(x)^2+2*(x^2+2*x-3)*ln(2)+8)/(x^2+2*x+1)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{4}{\ln \left(2\right) \left(x +1\right)}+\frac{4}{x +1}+\frac{\left(2+2 x \ln \left(2\right)\right) {\mathrm e}^{2 x}}{2 \ln \left(2\right)}$&$38$\\ default&$\frac{-\frac{8}{x +1}+\frac{8 \ln \left(2\right)}{x +1}+2 x \ln \left(2\right)+2 \,{\mathrm e}^{2 x}+2 x \ln \left(2\right) {\mathrm e}^{2 x}}{2 \ln \left(2\right)}$&$44$\\ norman&$\frac{x^{2}+{\mathrm e}^{2 x} x^{2}+\frac{{\mathrm e}^{2 x}}{\ln \left(2\right)}+\frac{\left(1+\ln \left(2\right)\right) x \,{\mathrm e}^{2 x}}{\ln \left(2\right)}+\frac{3 \ln \left(2\right)-4}{\ln \left(2\right)}}{x +1}$&$53$\\ \hline \end{longtable}"," ",0,"x-4/ln(2)/(x+1)+4/(x+1)+1/2/ln(2)*(2+2*x*ln(2))*exp(2*x)","A"
7639,1,5,20,0.010000," ","int(-1/3/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(x \right)}{3}$&$5$\\ norman&$-\frac{\ln \left(x \right)}{3}$&$5$\\ risch&$-\frac{\ln \left(x \right)}{3}$&$5$\\ \hline \end{longtable}"," ",0,"-1/3*ln(x)","A"
7640,1,16,15,0.052000," ","int(-3*exp(1)*ln(ln(6)+I*Pi)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{3 \,{\mathrm e} \ln \left(\ln \left(6\right)+i \pi \right)}{x}$&$16$\\ default&$\frac{3 \,{\mathrm e} \ln \left(\ln \left(6\right)+i \pi \right)}{x}$&$16$\\ norman&$\frac{3 \,{\mathrm e} \ln \left(\ln \left(6\right)+i \pi \right)}{x}$&$16$\\ risch&$\frac{3 \,{\mathrm e} \ln \left(\ln \left(2\right)+\ln \left(3\right)+i \pi \right)}{x}$&$18$\\ \hline \end{longtable}"," ",0,"3*exp(1)/x*ln(ln(6)+I*Pi)","A"
7641,1,9,19,0.010000," ","int(1/2*exp(1)+2/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(\frac{{\mathrm e}}{2}+\frac{2}{5}\right) x$&$9$\\ norman&$\left(\frac{{\mathrm e}}{2}+\frac{2}{5}\right) x$&$9$\\ risch&$\frac{x \,{\mathrm e}}{2}+\frac{2 x}{5}$&$10$\\ \hline \end{longtable}"," ",0,"(1/2*exp(1)+2/5)*x","A"
7642,1,17,12,0.018000," ","int(exp(1)^8/(49*exp(1)^8-14*exp(1)^4+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{8} x}{\left(7 \,{\mathrm e}^{4}-1\right)^{2}}$&$17$\\ risch&$\frac{{\mathrm e}^{8} x}{49 \,{\mathrm e}^{8}-14 \,{\mathrm e}^{4}+1}$&$17$\\ default&$\frac{{\mathrm e}^{8} x}{49 \,{\mathrm e}^{8}-14 \,{\mathrm e}^{4}+1}$&$23$\\ \hline \end{longtable}"," ",0,"exp(1)^8/(7*exp(1)^4-1)^2*x","A"
7643,1,25,25,0.041000," ","int((((15*x^2-60*x)*exp((x*ln(x-4)-2*x-4)/x)-15*x^3+30*x^2+120*x)*ln(exp((x*ln(x-4)-2*x-4)/x)-x-2)+(-15*x^2-60*x+240)*exp((x*ln(x-4)-2*x-4)/x)+15*x^3-60*x^2)/((x^2-4*x)*exp((x*ln(x-4)-2*x-4)/x)-x^3+2*x^2+8*x)/ln(exp((x*ln(x-4)-2*x-4)/x)-x-2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{15 x}{\ln \left(\left(x -4\right) {\mathrm e}^{-\frac{2 \left(2+x \right)}{x}}-x -2\right)}$&$25$\\ \hline \end{longtable}"," ",0,"15*x/ln((x-4)*exp(-2*(2+x)/x)-x-2)","A"
7644,1,23,25,0.071000," ","int((-12*x*ln(2)*exp(1/6*x+5)^4*exp(x-1)^2+2*(-2*x-3)*ln(2)*exp(1/6*x+5)^4)*exp(exp(x-1)^2)/(3*x^2*exp(1/6*x+5)^8*exp(exp(x-1)^2)^2+6*x*exp(1/6*x+5)^4*exp(exp(x-1)^2)+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(2\right)}{x \,{\mathrm e}^{\frac{2 x}{3}+20+{\mathrm e}^{2 x -2}}+1}$&$23$\\ \hline \end{longtable}"," ",0,"2*ln(2)/(x*exp(2/3*x+20+exp(2*x-2))+1)","A"
7645,1,18,14,0.027000," ","int(-1/((2*x+10)*ln(3*x^2+30*x+75)^2+(20+4*x)*ln(3*x^2+30*x+75)+2*x+10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1}{4 \ln \left(3 x^{2}+30 x +75\right)+4}$&$18$\\ risch&$\frac{1}{4 \ln \left(3 x^{2}+30 x +75\right)+4}$&$18$\\ \hline \end{longtable}"," ",0,"1/4/(ln(3*x^2+30*x+75)+1)","A"
7646,1,16,18,0.222000," ","int((4*x^3+8*x^2+9*x+6)/(2*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+x +2 \ln \left(x \right)+\ln \left(2 x +3\right)$&$16$\\ norman&$x^{2}+x +2 \ln \left(x \right)+\ln \left(2 x +3\right)$&$16$\\ risch&$x^{2}+x +2 \ln \left(x \right)+\ln \left(2 x +3\right)$&$16$\\ meijerg&$2 \ln \left(x \right)+2 \ln \left(2\right)-2 \ln \left(3\right)+\ln \left(1+\frac{2 x}{3}\right)-\frac{x \left(6-2 x \right)}{2}+4 x$&$31$\\ \hline \end{longtable}"," ",0,"x^2+x+2*ln(x)+ln(2*x+3)","A"
7647,1,21,25,0.026000," ","int(1/3*(-3*exp(-ln(x)+2)-3*x*exp(3)-2*x^2+6*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{3}-\frac{x^{2}}{3}+2 x +\frac{{\mathrm e}^{2}}{x}$&$21$\\ default&$-\frac{x^{2}}{3}+2 x +{\mathrm e}^{-\ln \left(x \right)+2}-x \,{\mathrm e}^{3}$&$22$\\ norman&$\frac{\left(2-{\mathrm e}^{3}\right) x^{2}-\frac{x^{3}}{3}+{\mathrm e}^{2}}{x}$&$23$\\ \hline \end{longtable}"," ",0,"-x*exp(3)-1/3*x^2+2*x+exp(2)/x","A"
7648,1,30,28,0.258000," ","int(((-2*x*exp(20)-x^2+2*x)*ln(5)+3*exp(20)^2+(-6*x^2+8*x-6)*exp(20)-4*x^3+10*x^2-8*x+3)*exp((-x^2*ln(5)+3*x*exp(20)-2*x^3+4*x^2-3*x)/(3*exp(20)+3*x-3))/(3*exp(20)^2+(6*x-6)*exp(20)+3*x^2-6*x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{x \left(x \ln \left(5\right)+2 x^{2}-3 \,{\mathrm e}^{20}-4 x +3\right)}{3 \left({\mathrm e}^{20}+x -1\right)}}$&$30$\\ risch&${\mathrm e}^{\frac{\left(-x \ln \left(5\right)-2 x^{2}+3 \,{\mathrm e}^{20}+4 x -3\right) x}{3 \,{\mathrm e}^{20}+3 x -3}}$&$31$\\ norman&$\frac{x \,{\mathrm e}^{\frac{-x^{2} \ln \left(5\right)+3 x \,{\mathrm e}^{20}-2 x^{3}+4 x^{2}-3 x}{3 \,{\mathrm e}^{20}+3 x -3}}+\left({\mathrm e}^{20}-1\right) {\mathrm e}^{\frac{-x^{2} \ln \left(5\right)+3 x \,{\mathrm e}^{20}-2 x^{3}+4 x^{2}-3 x}{3 \,{\mathrm e}^{20}+3 x -3}}}{{\mathrm e}^{20}+x -1}$&$95$\\ \hline \end{longtable}"," ",0,"exp(-1/3*x*(x*ln(5)+2*x^2-3*exp(20)-4*x+3)/(exp(20)+x-1))","A"
7649,1,25,23,0.037000," ","int(1/2*((-15*x^2-40*x+2)*ln(1/3*x)*ln(ln(1/3*x))^2-15*x^2*ln(1/3*x)*ln(ln(1/3*x))+5*x^2)/ln(1/3*x)/ln(ln(1/3*x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 x^{3}}{2}-10 x^{2}+x -\frac{5 x^{3}}{2 \ln \left(\ln \left(\frac{x}{3}\right)\right)}$&$25$\\ \hline \end{longtable}"," ",0,"-5/2*x^3-10*x^2+x-5/2*x^3/ln(ln(1/3*x))","A"
7650,1,30,30,0.410000," ","int((((x^3-7*x^2-5*x+75)*exp(3)*ln(3*x+9)+(-x^5+7*x^4+5*x^3-75*x^2)*exp(3))*exp(ln(ln(3*x+9)-x^2)-3)+(-5*x-15)*ln(3*x+9)+2*x^4+x^3-16*x^2+5*x)/((x^3-7*x^2-5*x+75)*ln(3*x+9)-x^5+7*x^4+5*x^3-75*x^2)/exp(ln(ln(3*x+9)-x^2)-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{3}-\frac{x \,{\mathrm e}^{3}}{\left(x^{2}-\ln \left(3 x +9\right)\right) \left(x -5\right)}$&$30$\\ default&$\frac{\left(3 x +9\right) {\mathrm e}^{3}}{3}-\frac{x \,{\mathrm e}^{3}}{\left(x^{2}-\ln \left(3 x +9\right)\right) \left(x -5\right)}$&$35$\\ norman&$\frac{x^{4} {\mathrm e}^{3}-25 x^{2} {\mathrm e}^{3}+25 \,{\mathrm e}^{3} \ln \left(3 x +9\right)-{\mathrm e}^{3} x^{2} \ln \left(3 x +9\right)-x \,{\mathrm e}^{3}}{\left(x^{2}-\ln \left(3 x +9\right)\right) \left(x -5\right)}$&$63$\\ \hline \end{longtable}"," ",0,"x*exp(3)-x*exp(3)/(x^2-ln(3*x+9))/(x-5)","A"
7651,0,0,22,0.031000," ","int((-10*ln(2*x)+(8*x^3-32*x^2+10*x+50)*exp(x)+4*x-10)*ln((-x*ln(2*x)+(-2*x^2+5*x)*exp(x))/(2*x-5))/((2*x^2-5*x)*ln(2*x)+(4*x^3-20*x^2+25*x)*exp(x)),x)","\[\int \frac{\left(-10 \ln \left(2 x \right)+\left(8 x^{3}-32 x^{2}+10 x +50\right) {\mathrm e}^{x}+4 x -10\right) \ln \left(\frac{-x \ln \left(2 x \right)+\left(-2 x^{2}+5 x \right) {\mathrm e}^{x}}{2 x -5}\right)}{\left(2 x^{2}-5 x \right) \ln \left(2 x \right)+\left(4 x^{3}-20 x^{2}+25 x \right) {\mathrm e}^{x}}\, dx\]"," ",0,"int((-10*ln(2*x)+(8*x^3-32*x^2+10*x+50)*exp(x)+4*x-10)*ln((-x*ln(2*x)+(-2*x^2+5*x)*exp(x))/(2*x-5))/((2*x^2-5*x)*ln(2*x)+(4*x^3-20*x^2+25*x)*exp(x)),x)","F"
7652,1,18,22,0.223000," ","int((-exp(1)*ln(x)+exp(1))/(x^2*exp(5)*exp(exp(7))^4+3*x^2*exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{x \left({\mathrm e}^{4+4 \,{\mathrm e}^{7}}+3\right)}$&$18$\\ norman&$\frac{{\mathrm e} \ln \left(x \right)}{\left({\mathrm e}^{5} {\mathrm e}^{4 \,{\mathrm e}^{7}}+3 \,{\mathrm e}\right) x}$&$24$\\ default&$-\frac{{\mathrm e} \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)}{{\mathrm e}^{5} {\mathrm e}^{4 \,{\mathrm e}^{7}}+3 \,{\mathrm e}}-\frac{{\mathrm e}}{\left({\mathrm e}^{5} {\mathrm e}^{4 \,{\mathrm e}^{7}}+3 \,{\mathrm e}\right) x}$&$56$\\ \hline \end{longtable}"," ",0,"1/x/(exp(4+4*exp(7))+3)*ln(x)","A"
7653,1,37,27,0.143000," ","int((((x^4+2*x^3+x^2)*exp(x)*exp(exp(x))+(-x^2+x+1)*exp(5)*exp(x))*exp(((-x^2-x)*exp(exp(x))+exp(5)*exp(x))/(x^2+x))+2*x^5+4*x^4+2*x^3)/(x^4+2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-{\mathrm e}^{-\frac{{\mathrm e}^{{\mathrm e}^{x}} x^{2}+x \,{\mathrm e}^{{\mathrm e}^{x}}-{\mathrm e}^{5+x}}{\left(x +1\right) x}}$&$37$\\ \hline \end{longtable}"," ",0,"x^2-exp(-(exp(exp(x))*x^2+x*exp(exp(x))-exp(5+x))/(x+1)/x)","A"
7654,1,60,21,0.379000," ","int((2*x*exp(ln(2)^4)^2+((-10*x^2-20*x)*exp(x)-6*x^2+16*x)*exp(ln(2)^4)+(50*x^2+50*x)*exp(x)^2+(10*x^3-10*x^2-80*x)*exp(x)+4*x^3-24*x^2+32*x)*exp(x^2*exp(ln(2)^4)^2+(-10*exp(x)*x^2-2*x^3+8*x^2)*exp(ln(2)^4)+25*exp(x)^2*x^2+(10*x^3-40*x^2)*exp(x)+x^4-8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{2} \left(-10 \,{\mathrm e}^{x +\ln \left(2\right)^{4}}+10 \,{\mathrm e}^{x} x -2 \,{\mathrm e}^{\ln \left(2\right)^{4}} x +x^{2}-40 \,{\mathrm e}^{x}+{\mathrm e}^{2 \ln \left(2\right)^{4}}+8 \,{\mathrm e}^{\ln \left(2\right)^{4}}+25 \,{\mathrm e}^{2 x}-8 x +16\right)}$&$60$\\ norman&${\mathrm e}^{x^{2} {\mathrm e}^{2 \ln \left(2\right)^{4}}+\left(-10 \,{\mathrm e}^{x} x^{2}-2 x^{3}+8 x^{2}\right) {\mathrm e}^{\ln \left(2\right)^{4}}+25 \,{\mathrm e}^{2 x} x^{2}+\left(10 x^{3}-40 x^{2}\right) {\mathrm e}^{x}+x^{4}-8 x^{3}+16 x^{2}}$&$74$\\ \hline \end{longtable}"," ",0,"exp(x^2*(-10*exp(x+ln(2)^4)+10*exp(x)*x-2*exp(ln(2)^4)*x+x^2-40*exp(x)+exp(2*ln(2)^4)+8*exp(ln(2)^4)+25*exp(2*x)-8*x+16))","B"
7655,1,567,16,0.218000," ","int(((-2*ln(x)-2)*ln((x*ln(3)+9*x)*ln(x))-4*ln(x)-4)/x/ln(x)/exp(ln((x*ln(3)+9*x)*ln(x))^2+4*ln((x*ln(3)+9*x)*ln(x))+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(9+\ln \left(3\right)\right)^{-i \pi  \,\mathrm{csgn}\left(i x \right)} \ln \left(x \right)^{-i \pi  \,\mathrm{csgn}\left(i x \right)} \ln \left(x \right)^{-i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right)} \ln \left(x \right)^{i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right)} \ln \left(x \right)^{i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)} x^{i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right)} \ln \left(x \right)^{-2 \ln \left(9+\ln \left(3\right)\right)} x^{-2 \ln \left(9+\ln \left(3\right)\right)} x^{i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)} x^{-i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right)} x^{-i \pi  \,\mathrm{csgn}\left(i x \right)} \left(9+\ln \left(3\right)\right)^{i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right)} \left(9+\ln \left(3\right)\right)^{i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)} \left(9+\ln \left(3\right)\right)^{-i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right)} \ln \left(x \right)^{-2 \ln \left(x \right)} {\mathrm e}^{-4-\ln \left(\ln \left(x \right)\right)^{2}-\ln \left(x \right)^{2}+\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)-\frac{\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)}{2}-\frac{\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \right)}{2}+\frac{\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2}}{4}-2 i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \right)-2 i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)+\frac{\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{6}}{4}+\frac{\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{4} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2}}{4}-\frac{\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{5} \mathrm{csgn}\left(i x \right)}{2}-\frac{\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{5} \mathrm{csgn}\left(i \ln \left(x \right)\right)}{2}+\frac{\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{4} \mathrm{csgn}\left(i x \right)^{2}}{4}+2 i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}+2 i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)-\ln \left(9+\ln \left(3\right)\right)^{2}}}{\ln \left(x \right)^{4} x^{4} \left(9+\ln \left(3\right)\right)^{4}}$&$567$\\ \hline \end{longtable}"," ",0,"1/((9+ln(3))^(I*Pi*csgn(I*x)))/(ln(x)^(I*Pi*csgn(I*x)))/(ln(x)^(I*Pi*csgn(I*ln(x))))/(ln(x)^(-I*Pi*csgn(I*x*ln(x))))/(ln(x)^(-I*Pi*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x))))/(x^(-I*Pi*csgn(I*x*ln(x))))/(ln(x)^(2*ln(9+ln(3))))/(x^(2*ln(9+ln(3))))/(x^(-I*Pi*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x))))/(x^(I*Pi*csgn(I*ln(x))))/(x^(I*Pi*csgn(I*x)))/((9+ln(3))^(-I*Pi*csgn(I*x*ln(x))))/((9+ln(3))^(-I*Pi*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x))))/((9+ln(3))^(I*Pi*csgn(I*ln(x))))/(ln(x)^(2*ln(x)))/ln(x)^4/x^4/(9+ln(3))^4*exp(-4-ln(ln(x))^2-ln(x)^2+Pi^2*csgn(I*x*ln(x))^4*csgn(I*x)*csgn(I*ln(x))-1/2*Pi^2*csgn(I*x*ln(x))^3*csgn(I*x)^2*csgn(I*ln(x))-1/2*Pi^2*csgn(I*x*ln(x))^3*csgn(I*ln(x))^2*csgn(I*x)+1/4*Pi^2*csgn(I*x*ln(x))^2*csgn(I*x)^2*csgn(I*ln(x))^2-2*I*Pi*csgn(I*x*ln(x))^2*csgn(I*x)-2*I*Pi*csgn(I*x*ln(x))^2*csgn(I*ln(x))+1/4*Pi^2*csgn(I*x*ln(x))^6+1/4*Pi^2*csgn(I*x*ln(x))^4*csgn(I*ln(x))^2-1/2*Pi^2*csgn(I*x*ln(x))^5*csgn(I*x)-1/2*Pi^2*csgn(I*x*ln(x))^5*csgn(I*ln(x))+1/4*Pi^2*csgn(I*x*ln(x))^4*csgn(I*x)^2+2*I*Pi*csgn(I*x*ln(x))^3+2*I*Pi*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x))-ln(9+ln(3))^2)","C"
7656,1,48,22,0.023000," ","int(((684500*x-1711250)*ln(x)^2+(273800*x^2-4107000*x+8556250)*ln(x)-547600*x^2+5476000*x-10267500)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3422500-547600 x^{2} \ln \left(x \right)-2738000 x +855625 \ln \left(x \right)^{2}+2738000 x \ln \left(x \right)-684500 x \ln \left(x \right)^{2}+136900 x^{2} \ln \left(x \right)^{2}-3422500 \ln \left(x \right)}{x^{2}}$&$48$\\ risch&$\frac{34225 \left(4 x^{2}-20 x +25\right) \ln \left(x \right)^{2}}{x^{2}}+\frac{684500 \left(4 x -5\right) \ln \left(x \right)}{x^{2}}-\frac{136900 \left(4 x^{2} \ln \left(x \right)+20 x -25\right)}{x^{2}}$&$50$\\ default&$-\frac{684500 \ln \left(x \right)^{2}}{x}+\frac{2738000 \ln \left(x \right)}{x}-\frac{2738000}{x}+136900 \ln \left(x \right)^{2}+\frac{855625 \ln \left(x \right)^{2}}{x^{2}}-\frac{3422500 \ln \left(x \right)}{x^{2}}+\frac{3422500}{x^{2}}-547600 \ln \left(x \right)$&$54$\\ \hline \end{longtable}"," ",0,"(3422500-547600*x^2*ln(x)-2738000*x+855625*ln(x)^2+2738000*x*ln(x)-684500*x*ln(x)^2+136900*x^2*ln(x)^2-3422500*ln(x))/x^2","B"
7657,1,19,25,0.523000," ","int((-exp(2)-5*x^2+11*x-1)/(2*exp(2)+10*x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{2}+\frac{\ln \left(5 x^{2}-x +{\mathrm e}^{2}\right)}{2}$&$19$\\ risch&$-\frac{x}{2}+\frac{\ln \left(5 x^{2}-x +{\mathrm e}^{2}\right)}{2}$&$19$\\ norman&$-\frac{x}{2}+\frac{\ln \left(2 \,{\mathrm e}^{2}+10 x^{2}-2 x \right)}{2}$&$21$\\ \hline \end{longtable}"," ",0,"-1/2*x+1/2*ln(5*x^2-x+exp(2))","A"
7658,1,53,27,0.080000," ","int((-x^2*exp(x)^3+(2*x^4-102*x^3+1250*x^2)*exp(x)^2+(-x^6+102*x^5-3851*x^4+63750*x^3-390625*x^2-2*x-1)*exp(x)+x^3-48*x^2+523*x+625)/(x^2*exp(x)^3+(-2*x^4+102*x^3-1250*x^2)*exp(x)^2+(x^6-102*x^5+3851*x^4-63750*x^3+390625*x^2)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{{\mathrm e}^{-x}}{x \left(x^{2}-51 x +625\right)}-\frac{1}{x \left(x^{2}-51 x +625\right) \left(x^{2}-51 x -{\mathrm e}^{x}+625\right)}$&$53$\\ \hline \end{longtable}"," ",0,"-x-1/x/(x^2-51*x+625)*exp(-x)-1/x/(x^2-51*x+625)/(x^2-51*x-exp(x)+625)","A"
7659,0,0,26,0.053000," ","int((((-4*x*ln(2)*ln(3)+4*x^2*ln(3))*ln(3/x)*ln(ln(3/x))+(-4*x^2*ln(2)+4*x^3+2*x)*ln(3/x)-2*ln(3))*ln((ln(3)*ln(ln(3/x))+x)/ln(3))+(8*x^2*ln(3)*ln(2)^2-12*x^3*ln(3)*ln(2)+4*x^4*ln(3))*ln(3/x)*ln(ln(3/x))+(8*x^3*ln(2)^2+2*(-6*x^4-2*x^2)*ln(2)+4*x^5+2*x^3)*ln(3/x)+4*x*ln(2)*ln(3)-2*x^2*ln(3))/(x*ln(3)*ln(3/x)*ln(ln(3/x))+x^2*ln(3/x)),x)","\[\int \frac{\left(\left(-4 x \ln \left(2\right) \ln \left(3\right)+4 x^{2} \ln \left(3\right)\right) \ln \left(\frac{3}{x}\right) \ln \left(\ln \left(\frac{3}{x}\right)\right)+\left(-4 x^{2} \ln \left(2\right)+4 x^{3}+2 x \right) \ln \left(\frac{3}{x}\right)-2 \ln \left(3\right)\right) \ln \left(\frac{\ln \left(3\right) \ln \left(\ln \left(\frac{3}{x}\right)\right)+x}{\ln \left(3\right)}\right)+\left(8 x^{2} \ln \left(3\right) \ln \left(2\right)^{2}-12 x^{3} \ln \left(3\right) \ln \left(2\right)+4 x^{4} \ln \left(3\right)\right) \ln \left(\frac{3}{x}\right) \ln \left(\ln \left(\frac{3}{x}\right)\right)+\left(8 x^{3} \ln \left(2\right)^{2}+2 \left(-6 x^{4}-2 x^{2}\right) \ln \left(2\right)+4 x^{5}+2 x^{3}\right) \ln \left(\frac{3}{x}\right)+4 x \ln \left(2\right) \ln \left(3\right)-2 x^{2} \ln \left(3\right)}{x \ln \left(3\right) \ln \left(\frac{3}{x}\right) \ln \left(\ln \left(\frac{3}{x}\right)\right)+x^{2} \ln \left(\frac{3}{x}\right)}\, dx\]"," ",0,"int((((-4*x*ln(2)*ln(3)+4*x^2*ln(3))*ln(3/x)*ln(ln(3/x))+(-4*x^2*ln(2)+4*x^3+2*x)*ln(3/x)-2*ln(3))*ln((ln(3)*ln(ln(3/x))+x)/ln(3))+(8*x^2*ln(3)*ln(2)^2-12*x^3*ln(3)*ln(2)+4*x^4*ln(3))*ln(3/x)*ln(ln(3/x))+(8*x^3*ln(2)^2+2*(-6*x^4-2*x^2)*ln(2)+4*x^5+2*x^3)*ln(3/x)+4*x*ln(2)*ln(3)-2*x^2*ln(3))/(x*ln(3)*ln(3/x)*ln(ln(3/x))+x^2*ln(3/x)),x)","F"
7660,1,14,18,0.021000," ","int((exp(exp(16*exp(1)^2))+5)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left({\mathrm e}^{{\mathrm e}^{16 \,{\mathrm e}^{2}}}+5\right) \ln \left(x \right)$&$14$\\ norman&$\left({\mathrm e}^{{\mathrm e}^{16 \,{\mathrm e}^{2}}}+5\right) \ln \left(x \right)$&$14$\\ risch&$\ln \left(x \right) {\mathrm e}^{{\mathrm e}^{16 \,{\mathrm e}^{2}}}+5 \ln \left(x \right)$&$15$\\ \hline \end{longtable}"," ",0,"(exp(exp(16*exp(1)^2))+5)*ln(x)","A"
7661,1,33,27,0.023000," ","int(1/2*((2*x^3-4*x-3)*ln(x)^2+(6*x^3-8*x-3)*ln(x)-30*x^3-6*x^2)/x^3/ln(x)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}+x^{3} \ln \left(x \right)+5 x^{3}+2 x \ln \left(x \right)+\frac{3 \ln \left(x \right)}{4}}{x^{2} \ln \left(x \right)^{3}}$&$33$\\ default&$\frac{x}{\ln \left(x \right)^{2}}+\frac{5 x}{\ln \left(x \right)^{3}}+\frac{2}{x \ln \left(x \right)^{2}}+\frac{1}{\ln \left(x \right)^{3}}+\frac{3}{4 x^{2} \ln \left(x \right)^{2}}$&$37$\\ risch&$\frac{4 x^{3} \ln \left(x \right)+20 x^{3}+4 x^{2}+8 x \ln \left(x \right)+3 \ln \left(x \right)}{4 x^{2} \ln \left(x \right)^{3}}$&$37$\\ \hline \end{longtable}"," ",0,"(x^2+x^3*ln(x)+5*x^3+2*x*ln(x)+3/4*ln(x))/x^2/ln(x)^3","A"
7662,1,39,25,0.852000," ","int(((20*exp(x)+20)*ln(-exp(exp(3))+exp(x)+x)+20*exp(5)*exp(x)+20*exp(5))/((25*exp(exp(3))-25*exp(x)-25*x)*ln(-exp(exp(3))+exp(x)+x)^4+(100*exp(5)*exp(exp(3))-100*exp(5)*exp(x)-100*x*exp(5))*ln(-exp(exp(3))+exp(x)+x)^3+((150*exp(5)^2-40)*exp(exp(3))+(-150*exp(5)^2+40)*exp(x)-150*x*exp(5)^2+40*x)*ln(-exp(exp(3))+exp(x)+x)^2+((100*exp(5)^3-80*exp(5))*exp(exp(3))+(-100*exp(5)^3+80*exp(5))*exp(x)-100*x*exp(5)^3+80*x*exp(5))*ln(-exp(exp(3))+exp(x)+x)+(25*exp(5)^4-40*exp(5)^2+16)*exp(exp(3))+(-25*exp(5)^4+40*exp(5)^2-16)*exp(x)-25*x*exp(5)^4+40*x*exp(5)^2-16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{5 \,{\mathrm e}^{10}+10 \,{\mathrm e}^{5} \ln \left(-{\mathrm e}^{{\mathrm e}^{3}}+{\mathrm e}^{x}+x \right)+5 \ln \left(-{\mathrm e}^{{\mathrm e}^{3}}+{\mathrm e}^{x}+x \right)^{2}-4}$&$39$\\ norman&$\frac{2}{5 \,{\mathrm e}^{10}+10 \,{\mathrm e}^{5} \ln \left(-{\mathrm e}^{{\mathrm e}^{3}}+{\mathrm e}^{x}+x \right)+5 \ln \left(-{\mathrm e}^{{\mathrm e}^{3}}+{\mathrm e}^{x}+x \right)^{2}-4}$&$41$\\ \hline \end{longtable}"," ",0,"2/(5*exp(10)+10*exp(5)*ln(-exp(exp(3))+exp(x)+x)+5*ln(-exp(exp(3))+exp(x)+x)^2-4)","A"
7663,1,28,19,0.037000," ","int(((-exp(5-x)*exp(x)+x*exp(5-x))*exp(exp(5-x))*ln(exp(x)-x)^2+(2*exp(x)-2)*exp(exp(5-x))*ln(exp(x)-x)+(4*exp(5-x)*exp(x)-4*x*exp(5-x))*exp(exp(5-x)))/(exp(x)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{5-x}} \ln \left({\mathrm e}^{x}-x \right)^{2}-4 \,{\mathrm e}^{{\mathrm e}^{5-x}}$&$28$\\ \hline \end{longtable}"," ",0,"exp(exp(5-x))*ln(exp(x)-x)^2-4*exp(exp(5-x))","A"
7664,1,21,18,0.216000," ","int((4*x^3-2*x^2-2)*ln((x^3-x^2+3*x+1)/x)/(x^4-x^3+3*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{x^{3}-x^{2}+3 x +1}{x}\right)^{2}$&$21$\\ default&$-2 \ln \left(x \right) \ln \left(\frac{x^{3}-x^{2}+3 x +1}{x}\right)-\ln \left(x \right)^{2}+2 \ln \left(x \right) \ln \left(\frac{\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z}^{2}+3 \textit{\_Z} +1, \mathit{index} =1\right)-x}{\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z}^{2}+3 \textit{\_Z} +1, \mathit{index} =1\right)}\right)+2 \dilog \left(\frac{\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z}^{2}+3 \textit{\_Z} +1, \mathit{index} =1\right)-x}{\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z}^{2}+3 \textit{\_Z} +1, \mathit{index} =1\right)}\right)+2 \ln \left(x \right) \ln \left(\frac{\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z}^{2}+3 \textit{\_Z} +1, \mathit{index} =2\right)-x}{\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z}^{2}+3 \textit{\_Z} +1, \mathit{index} =2\right)}\right)+2 \dilog \left(\frac{\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z}^{2}+3 \textit{\_Z} +1, \mathit{index} =2\right)-x}{\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z}^{2}+3 \textit{\_Z} +1, \mathit{index} =2\right)}\right)+2 \ln \left(x \right) \ln \left(\frac{\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z}^{2}+3 \textit{\_Z} +1, \mathit{index} =3\right)-x}{\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z}^{2}+3 \textit{\_Z} +1, \mathit{index} =3\right)}\right)+2 \dilog \left(\frac{\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z}^{2}+3 \textit{\_Z} +1, \mathit{index} =3\right)-x}{\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z}^{2}+3 \textit{\_Z} +1, \mathit{index} =3\right)}\right)+2 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha  =\RootOf \left(\textit{\_Z}^{3}-\textit{\_Z}^{2}+3 \textit{\_Z} +1\right)}{\sum}\left(\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{x^{3}-x^{2}+3 x +1}{x}\right)-\frac{\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right)^{2}}{2}+\dilog \left(\frac{x}{\underline{\hspace{1.25 ex}}\alpha}\right)+\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{x}{\underline{\hspace{1.25 ex}}\alpha}\right)-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{-\underline{\hspace{1.25 ex}}\alpha  +1+\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}+2 \underline{\hspace{1.25 ex}}\alpha  -11}-2 x}{-3 \underline{\hspace{1.25 ex}}\alpha  +1+\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}+2 \underline{\hspace{1.25 ex}}\alpha  -11}}\right)-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -1+\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}+2 \underline{\hspace{1.25 ex}}\alpha  -11}+2 x}{3 \underline{\hspace{1.25 ex}}\alpha  -1+\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}+2 \underline{\hspace{1.25 ex}}\alpha  -11}}\right)-\dilog \left(\frac{-\underline{\hspace{1.25 ex}}\alpha  +1+\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}+2 \underline{\hspace{1.25 ex}}\alpha  -11}-2 x}{-3 \underline{\hspace{1.25 ex}}\alpha  +1+\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}+2 \underline{\hspace{1.25 ex}}\alpha  -11}}\right)-\dilog \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -1+\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}+2 \underline{\hspace{1.25 ex}}\alpha  -11}+2 x}{3 \underline{\hspace{1.25 ex}}\alpha  -1+\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}+2 \underline{\hspace{1.25 ex}}\alpha  -11}}\right)\right)\right)$&$554$\\ risch&$\text{Expression too large to display}$&$5020$\\ \hline \end{longtable}"," ",0,"ln((x^3-x^2+3*x+1)/x)^2","A"
7665,1,38,25,0.273000," ","int(((-4*exp(x)*x+4*x^2-8*x)*ln(4*x^2/(exp(x)+2-x))+(25*x^3+146*x^2-8*x-768)*exp(x)+25*x^3+96*x^2-400*x-1536)/((5*x^3+40*x^2+80*x)*exp(x)-5*x^4-30*x^3+160*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 \ln \left(\frac{4 x^{2}}{{\mathrm e}^{x}+2-x}\right)}{5 \left(4+x \right)}-10 \ln \left(x \right)+5 \ln \left(-{\mathrm e}^{x}+x -2\right)$&$38$\\ risch&$-\frac{4 \ln \left(-{\mathrm e}^{x}+x -2\right)}{5 \left(4+x \right)}+\frac{-2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+2 i \pi  \mathrm{csgn}\left(\frac{i x^{2}}{{\mathrm e}^{x}+2-x}\right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+2-x}\right) \mathrm{csgn}\left(\frac{i x^{2}}{{\mathrm e}^{x}+2-x}\right)^{2}-2 i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+2-x}\right) \mathrm{csgn}\left(\frac{i x^{2}}{{\mathrm e}^{x}+2-x}\right) \mathrm{csgn}\left(i x^{2}\right)-4 i \pi  \mathrm{csgn}\left(\frac{i x^{2}}{{\mathrm e}^{x}+2-x}\right)^{2}+4 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-2 i \pi  \mathrm{csgn}\left(\frac{i x^{2}}{{\mathrm e}^{x}+2-x}\right)^{3}+4 i \pi -50 x \ln \left(x \right)+25 \ln \left({\mathrm e}^{x}+2-x \right) x -192 \ln \left(x \right)+8 \ln \left(2\right)+100 \ln \left({\mathrm e}^{x}+2-x \right)}{20+5 x}$&$260$\\ \hline \end{longtable}"," ",0,"4/5*ln(4*x^2/(exp(x)+2-x))/(4+x)-10*ln(x)+5*ln(-exp(x)+x-2)","A"
7666,1,25,20,0.103000," ","int(((-2*x^3-14*x^2)*exp(1)*exp(x^2)+(2*x^2+14*x)*exp(1)+7+2*x)*exp(-exp(1)*exp(x^2)+(5+2*x)*exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x +7\right) x \,{\mathrm e}^{2 x \,{\mathrm e}+5 \,{\mathrm e}-{\mathrm e}^{x^{2}+1}}$&$25$\\ norman&$x^{2} {\mathrm e}^{-{\mathrm e} \,{\mathrm e}^{x^{2}}+\left(5+2 x \right) {\mathrm e}}+7 x \,{\mathrm e}^{-{\mathrm e} \,{\mathrm e}^{x^{2}}+\left(5+2 x \right) {\mathrm e}}$&$45$\\ \hline \end{longtable}"," ",0,"(x+7)*x*exp(2*x*exp(1)+5*exp(1)-exp(x^2+1))","A"
7667,1,20,19,0.091000," ","int(((exp(-exp(3)-x+39)+x)*ln(x/(exp(-exp(3)-x+39)+x))+(x+1)*exp(-exp(3)-x+39))/(exp(-exp(3)-x+39)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\frac{x}{{\mathrm e}^{-{\mathrm e}^{3}-x +39}+x}\right)$&$20$\\ risch&$-x \ln \left({\mathrm e}^{-{\mathrm e}^{3}-x +39}+x \right)+x \ln \left(x \right)+\frac{i x \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{-{\mathrm e}^{3}-x +39}+x}\right) \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{-{\mathrm e}^{3}-x +39}+x}\right)^{2}}{2}-\frac{i x \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{-{\mathrm e}^{3}-x +39}+x}\right) \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{-{\mathrm e}^{3}-x +39}+x}\right) \mathrm{csgn}\left(i x \right)}{2}-\frac{i x \pi  \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{-{\mathrm e}^{3}-x +39}+x}\right)^{3}}{2}+\frac{i x \pi  \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{-{\mathrm e}^{3}-x +39}+x}\right)^{2} \mathrm{csgn}\left(i x \right)}{2}$&$170$\\ \hline \end{longtable}"," ",0,"x*ln(x/(exp(-exp(3)-x+39)+x))","A"
7668,1,14,18,0.025000," ","int(1/5*((-7*x^2+3*x+5)*ln(x)+5*x+5)*exp((x^2+x)*ln(x)/exp(7/5*x-1))/exp(7/5*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\left(x +1\right) x \,{\mathrm e}^{-\frac{7 x}{5}+1}}$&$14$\\ \hline \end{longtable}"," ",0,"x^((x+1)*x*exp(-7/5*x+1))","A"
7669,1,61,29,0.042000," ","int((-16*exp(x)^3+(8*x^3-162*x^2+124*x+80)*exp(x)^2+(16*x^5-392*x^4+437*x^3+547*x^2-560*x-100)*exp(x)-256*x^6+384*x^5+640*x^4-1000*x^3-375*x^2+625*x)/(8*x^9*exp(x)^3+(96*x^11-120*x^10)*exp(x)^2+(384*x^13-960*x^12+600*x^11)*exp(x)+512*x^15-1920*x^14+2400*x^13-1000*x^12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{4 x^{8}}-\frac{48 x^{4}-152 x^{3}+16 \,{\mathrm e}^{x} x^{2}+139 x^{2}-36 \,{\mathrm e}^{x} x -10 x +20 \,{\mathrm e}^{x}-25}{16 x^{8} \left(4 x^{2}+{\mathrm e}^{x}-5 x \right)^{2}}$&$61$\\ \hline \end{longtable}"," ",0,"1/4/x^8-1/16*(48*x^4-152*x^3+16*exp(x)*x^2+139*x^2-36*exp(x)*x-10*x+20*exp(x)-25)/x^8/(4*x^2+exp(x)-5*x)^2","B"
7670,1,17,16,0.026000," ","int(1/5*(-15*x-15)*exp(x-4)-1/5*exp(-1/15*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \,{\mathrm e}^{-\frac{x}{15}+4}-3 x \,{\mathrm e}^{x -4}$&$17$\\ default&$-3 \,{\mathrm e}^{x -4} \left(x -4\right)-12 \,{\mathrm e}^{x -4}+3 \,{\mathrm e}^{-\frac{x}{15}+4}$&$25$\\ meijerg&$3 \,{\mathrm e}^{-4} \left(1-{\mathrm e}^{x}\right)-3 \,{\mathrm e}^{-4} \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)-3 \,{\mathrm e}^{4} \left(1-{\mathrm e}^{-\frac{x}{15}}\right)$&$39$\\ \hline \end{longtable}"," ",0,"3*exp(-1/15*x+4)-3*x*exp(x-4)","A"
7671,1,26,25,0.110000," ","int((((8*x^3-8)*exp(2)*exp(x)+(-4*x^3-12*x^2)*exp(2))*exp(x^2)+(x^2-2*x)*exp(x)-x^4-3*x^3)/(4*x^2*exp(2)*exp(x)*exp(x^2)+exp(x)*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{x}+\left(4+x \right) {\mathrm e}^{-x}+\ln \left({\mathrm e}^{x^{2}}+\frac{x \,{\mathrm e}^{-2}}{4}\right)$&$26$\\ norman&$\frac{\left(x^{2}+4 x +2 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{x}+\ln \left(x +4 \,{\mathrm e}^{x^{2}} {\mathrm e}^{2}\right)$&$32$\\ \hline \end{longtable}"," ",0,"2/x+(4+x)*exp(-x)+ln(exp(x^2)+1/4*x*exp(-2))","A"
7672,1,17,16,0.112000," ","int((12*x^5*ln(x)+192*x^5*ln(2)^2-4*x^5)/(5*ln(x)^3+240*ln(2)^2*ln(x)^2+3840*ln(2)^4*ln(x)+20480*ln(2)^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x^{6}}{5 \left(\ln \left(x \right)+16 \ln \left(2\right)^{2}\right)^{2}}$&$17$\\ risch&$\frac{2 x^{6}}{5 \left(\ln \left(x \right)+16 \ln \left(2\right)^{2}\right)^{2}}$&$17$\\ \hline \end{longtable}"," ",0,"2/5*x^6/(ln(x)+16*ln(2)^2)^2","A"
7673,1,29,25,0.066000," ","int(((((-30*exp(x)*x^3+6*x^2)*ln(x)*exp(-5*exp(x)+25)-4*ln(x))*ln(ln(x))+x)*exp((6*x^2*exp(-5*exp(x)+25)+4)/x)-x^2*ln(x))/x^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{6 x^{2} {\mathrm e}^{-5 \,{\mathrm e}^{x}+25}+4}{x}} \ln \left(\ln \left(x \right)\right)-x$&$29$\\ \hline \end{longtable}"," ",0,"exp(2*(3*x^2*exp(-5*exp(x)+25)+2)/x)*ln(ln(x))-x","A"
7674,1,7,14,0.021000," ","int((1-2*x)*exp(-3*x)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-2 x} x$&$7$\\ default&${\mathrm e}^{-2 x} x$&$7$\\ norman&${\mathrm e}^{-2 x} x$&$7$\\ risch&${\mathrm e}^{-2 x} x$&$7$\\ meijerg&$-\frac{{\mathrm e}^{-2 x}}{2}+\frac{\left(4 x +2\right) {\mathrm e}^{-2 x}}{4}$&$19$\\ \hline \end{longtable}"," ",0,"exp(-2*x)*x","A"
7675,1,91,26,0.184000," ","int((-4*x^8*exp(ln(x^2)+x)^4+(32*x^8+208*x^7-128*x^6)*exp(ln(x^2)+x)^3+(-768*x^7-3072*x^6+4032*x^5-1152*x^4)*exp(ln(x^2)+x)^2+(6144*x^6+17408*x^5-38400*x^4+22272*x^3-4096*x^2)*exp(ln(x^2)+x)-16384*x^5-32768*x^4+114688*x^3-102400*x^2+37888*x-5120)/x^13/exp(ln(x^2)+x)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x^{4}}-\frac{16 \left(2 x -1\right) {\mathrm e}^{-x}}{x^{8}}+\frac{96 \left(4 x^{2}-4 x +1\right) {\mathrm e}^{-2 x}}{x^{12}}-\frac{256 \left(8 x^{3}-12 x^{2}+6 x -1\right) {\mathrm e}^{-3 x}}{x^{16}}+\frac{256 \left(16 x^{4}-32 x^{3}+24 x^{2}-8 x +1\right) {\mathrm e}^{-4 x}}{x^{20}}$&$91$\\ default&$\text{Expression too large to display}$&$36313$\\ \hline \end{longtable}"," ",0,"1/x^4-16*(2*x-1)/x^8*exp(-x)+96*(4*x^2-4*x+1)/x^12*exp(-2*x)-256*(8*x^3-12*x^2+6*x-1)/x^16*exp(-3*x)+256*(16*x^4-32*x^3+24*x^2-8*x+1)/x^20*exp(-4*x)","B"
7676,1,24,21,0.103000," ","int(((4*x^3*exp(4)+4*x^4+4*x^3)*ln(exp(4)+x+1)+16*x^5*exp(4)+16*x^6+16*x^5-4*x^4)/((exp(4)+x+1)*ln(exp(4)+x+1)^5+((-20*x^2+20*x)*exp(4)-20*x^3+20*x)*ln(exp(4)+x+1)^4+((160*x^4-320*x^3+160*x^2)*exp(4)+160*x^5-160*x^4-160*x^3+160*x^2)*ln(exp(4)+x+1)^3+((-640*x^6+1920*x^5-1920*x^4+640*x^3)*exp(4)-640*x^7+1280*x^6-1280*x^4+640*x^3)*ln(exp(4)+x+1)^2+((1280*x^8-5120*x^7+7680*x^6-5120*x^5+1280*x^4)*exp(4)+1280*x^9-3840*x^8+2560*x^7+2560*x^6-3840*x^5+1280*x^4)*ln(exp(4)+x+1)+(-1024*x^10+5120*x^9-10240*x^8+10240*x^7-5120*x^6+1024*x^5)*exp(4)-1024*x^11+4096*x^10-5120*x^9+5120*x^7-4096*x^6+1024*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4}}{\left(4 x^{2}-4 x -\ln \left({\mathrm e}^{4}+x +1\right)\right)^{4}}$&$24$\\ \hline \end{longtable}"," ",0,"x^4/(4*x^2-4*x-ln(exp(4)+x+1))^4","A"
7677,1,37,23,0.135000," ","int(((-2*x*exp(4)^2+4*x*exp(4)-2*x)*ln(-4*x)*ln(x)+(-x*exp(4)^2+2*x*exp(4)-x)*ln(-4*x)^2+2*x*exp(4)^2-4*x*exp(4)+2*x)*exp(-ln(-4*x)^2*ln(x)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \left({\mathrm e}^{8}-2 \,{\mathrm e}^{4}+1\right) x^{-\left(i \pi  \,\mathrm{csgn}\left(i x \right)+\ln \left(x \right)+2 \ln \left(2\right)\right)^{2}} {\mathrm e}$&$37$\\ \hline \end{longtable}"," ",0,"x^2*(exp(8)-2*exp(4)+1)*x^(-(I*Pi*csgn(I*x)+ln(x)+2*ln(2))^2)*exp(1)","C"
7678,1,24,18,0.020000," ","int(-1/3*ln(1/4*x)+1/3*(x+1)*exp(5+x)+2/3*x+1/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x}{3}+\frac{x^{2}}{3}+\frac{x \,{\mathrm e}^{5+x}}{3}-\frac{x \ln \left(\frac{x}{4}\right)}{3}$&$24$\\ risch&$\frac{2 x}{3}+\frac{x^{2}}{3}+\frac{x \,{\mathrm e}^{5+x}}{3}-\frac{x \ln \left(\frac{x}{4}\right)}{3}$&$24$\\ default&$\frac{x^{2}}{3}+\frac{2 x}{3}+\frac{{\mathrm e}^{5+x} \left(5+x \right)}{3}-\frac{5 \,{\mathrm e}^{5+x}}{3}-\frac{x \ln \left(\frac{x}{4}\right)}{3}$&$32$\\ \hline \end{longtable}"," ",0,"2/3*x+1/3*x^2+1/3*x*exp(5+x)-1/3*x*ln(1/4*x)","A"
7679,1,40,22,0.295000," ","int(((-ln(5)^2-ln(5))*exp(exp(x))^2+(-3*exp(x)*x-6*ln(5)-3)*exp(exp(x))-9)/(((5*x-10)*ln(5)^2+5*x*ln(5))*exp(exp(x))^2+((30*x-60)*ln(5)+15*x)*exp(exp(x))+45*x-90),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left({\mathrm e}^{{\mathrm e}^{x}} \ln \left(5\right)+3\right)}{5}-\frac{\ln \left(\ln \left(5\right) {\mathrm e}^{{\mathrm e}^{x}} x -2 \,{\mathrm e}^{{\mathrm e}^{x}} \ln \left(5\right)+x \,{\mathrm e}^{{\mathrm e}^{x}}+3 x -6\right)}{5}$&$40$\\ risch&$-\frac{\ln \left(\left(\ln \left(5\right)+1\right) x -2 \ln \left(5\right)\right)}{5}+\frac{\ln \left({\mathrm e}^{{\mathrm e}^{x}}+\frac{3}{\ln \left(5\right)}\right)}{5}-\frac{\ln \left({\mathrm e}^{{\mathrm e}^{x}}+\frac{3 x -6}{x \ln \left(5\right)-2 \ln \left(5\right)+x}\right)}{5}$&$53$\\ \hline \end{longtable}"," ",0,"1/5*ln(exp(exp(x))*ln(5)+3)-1/5*ln(ln(5)*exp(exp(x))*x-2*exp(exp(x))*ln(5)+x*exp(exp(x))+3*x-6)","A"
7680,1,12,12,0.014000," ","int((-12*ln(2)+3)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-12 x +\frac{3 x}{\ln \left(2\right)}$&$12$\\ default&$\frac{\left(-12 \ln \left(2\right)+3\right) x}{\ln \left(2\right)}$&$13$\\ norman&$-\frac{3 \left(4 \ln \left(2\right)-1\right) x}{\ln \left(2\right)}$&$14$\\ \hline \end{longtable}"," ",0,"-12*x+3*x/ln(2)","A"
7681,0,0,26,0.199000," ","int((((-3*exp(exp(5))-3*x^2-3*x)*(x^2)^(1/4)+8*exp(exp(5))+8*x^2+8*x)*ln(x/(exp(exp(5))^2+(2*x^2+2*x)*exp(exp(5))+x^4+2*x^3+x^2))+(2*exp(exp(5))-6*x^2-2*x)*(x^2)^(1/4)-8*exp(exp(5))+24*x^2+8*x)/(2*exp(exp(5))+2*x^2+2*x)/ln(x/(exp(exp(5))^2+(2*x^2+2*x)*exp(exp(5))+x^4+2*x^3+x^2))^2,x)","\[\int \frac{\left(\left(-3 \,{\mathrm e}^{{\mathrm e}^{5}}-3 x^{2}-3 x \right) \left(x^{2}\right)^{\frac{1}{4}}+8 \,{\mathrm e}^{{\mathrm e}^{5}}+8 x^{2}+8 x \right) \ln \left(\frac{x}{{\mathrm e}^{2 \,{\mathrm e}^{5}}+\left(2 x^{2}+2 x \right) {\mathrm e}^{{\mathrm e}^{5}}+x^{4}+2 x^{3}+x^{2}}\right)+\left(2 \,{\mathrm e}^{{\mathrm e}^{5}}-6 x^{2}-2 x \right) \left(x^{2}\right)^{\frac{1}{4}}-8 \,{\mathrm e}^{{\mathrm e}^{5}}+24 x^{2}+8 x}{\left(2 \,{\mathrm e}^{{\mathrm e}^{5}}+2 x^{2}+2 x \right) \ln \left(\frac{x}{{\mathrm e}^{2 \,{\mathrm e}^{5}}+\left(2 x^{2}+2 x \right) {\mathrm e}^{{\mathrm e}^{5}}+x^{4}+2 x^{3}+x^{2}}\right)^{2}}\, dx\]"," ",0,"int((((-3*exp(exp(5))-3*x^2-3*x)*(x^2)^(1/4)+8*exp(exp(5))+8*x^2+8*x)*ln(x/(exp(exp(5))^2+(2*x^2+2*x)*exp(exp(5))+x^4+2*x^3+x^2))+(2*exp(exp(5))-6*x^2-2*x)*(x^2)^(1/4)-8*exp(exp(5))+24*x^2+8*x)/(2*exp(exp(5))+2*x^2+2*x)/ln(x/(exp(exp(5))^2+(2*x^2+2*x)*exp(exp(5))+x^4+2*x^3+x^2))^2,x)","F"
7682,1,27,29,0.267000," ","int(((-x^2+4*x-4)*exp(1)^2+(-50*x^2+200*x-200)*exp(1)-1250*x^3+6250*x^2-10000*x+2500)/(1875*x^2-7500*x+7500),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{2}}{3}+\frac{2 x}{3}-\frac{{\mathrm e}^{2} x}{1875}-\frac{2 x \,{\mathrm e}}{75}+\frac{4}{3 \left(x -2\right)}$&$27$\\ risch&$-\frac{x^{2}}{3}+\frac{2 x}{3}-\frac{{\mathrm e}^{2} x}{1875}-\frac{2 x \,{\mathrm e}}{75}+\frac{4}{3 \left(x -2\right)}$&$27$\\ norman&$\frac{\left(-\frac{{\mathrm e}^{2}}{1875}-\frac{2 \,{\mathrm e}}{75}+\frac{4}{3}\right) x^{2}-\frac{x^{3}}{3}-\frac{4}{3}+\frac{4 \,{\mathrm e}^{2}}{1875}+\frac{8 \,{\mathrm e}}{75}}{x -2}$&$40$\\ gosper&$-\frac{x^{2} {\mathrm e}^{2}+50 x^{2} {\mathrm e}+625 x^{3}-4 \,{\mathrm e}^{2}-2500 x^{2}-200 \,{\mathrm e}+2500}{1875 \left(x -2\right)}$&$45$\\ meijerg&$\frac{x}{3-\frac{3 x}{2}}-2 \left(-\frac{{\mathrm e}^{2}}{1875}-\frac{2 \,{\mathrm e}}{75}+\frac{10}{3}\right) \left(-\frac{x \left(-\frac{3 x}{2}+6\right)}{6 \left(1-\frac{x}{2}\right)}-2 \ln \left(1-\frac{x}{2}\right)\right)-2 \left(-\frac{2 \,{\mathrm e}^{2}}{1875}-\frac{4 \,{\mathrm e}}{75}+\frac{8}{3}\right) \left(\frac{x}{2-x}+\ln \left(1-\frac{x}{2}\right)\right)-\frac{x \left(-\frac{1}{2} x^{2}-3 x +12\right)}{3 \left(1-\frac{x}{2}\right)}-8 \ln \left(1-\frac{x}{2}\right)-\frac{{\mathrm e}^{2} x}{1875 \left(1-\frac{x}{2}\right)}-\frac{2 \,{\mathrm e} x}{75 \left(1-\frac{x}{2}\right)}$&$129$\\ \hline \end{longtable}"," ",0,"-1/3*x^2+2/3*x-1/1875*exp(2)*x-2/75*x*exp(1)+4/3/(x-2)","A"
7683,1,18,20,0.028000," ","int((-ln(-1/2*x)^2+(1-x)*ln(-1/2*x)-1)/exp(x)/ln(-1/2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(x +\ln \left(-\frac{x}{2}\right)\right) {\mathrm e}^{-x}}{\ln \left(-\frac{x}{2}\right)}$&$18$\\ risch&${\mathrm e}^{-x}+\frac{x \,{\mathrm e}^{-x}}{\ln \left(-\frac{x}{2}\right)}$&$18$\\ \hline \end{longtable}"," ",0,"(x+ln(-1/2*x))/exp(x)/ln(-1/2*x)","A"
7684,1,17,19,0.103000," ","int((-4*ln(x)+4*exp(2)-4*x^2)/(ln(x)^2+(-2*exp(2)-2*x^2+2)*ln(x)+exp(2)^2+(2*x^2-2)*exp(2)+x^4-2*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 x}{x^{2}+{\mathrm e}^{2}-\ln \left(x \right)-1}$&$17$\\ risch&$\frac{4 x}{x^{2}+{\mathrm e}^{2}-\ln \left(x \right)-1}$&$17$\\ \hline \end{longtable}"," ",0,"4*x/(x^2+exp(2)-ln(x)-1)","A"
7685,1,19,23,0.040000," ","int((((-x-2)*exp(x)+2+x)*ln(exp(x)-1)+(15-5*x)*exp(x))/((x-3)*exp(x)+3-x)/ln(exp(x)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -5 \ln \left(\ln \left({\mathrm e}^{x}-1\right)\right)-5 \ln \left(x -3\right)$&$19$\\ risch&$-x -5 \ln \left(\ln \left({\mathrm e}^{x}-1\right)\right)-5 \ln \left(x -3\right)$&$19$\\ \hline \end{longtable}"," ",0,"-x-5*ln(ln(exp(x)-1))-5*ln(x-3)","A"
7686,1,25,28,0.035000," ","int(1/3*exp(1)*exp(2)*ln(1/4*x)-1/3*exp(1)*exp(x)+1/3*exp(1)*exp(2)-2/3*x*exp(1)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{3} x \ln \left(\frac{x}{4}\right)}{3}-\frac{{\mathrm e}^{x +1}}{3}-\frac{x^{2} {\mathrm e}}{3}+x$&$25$\\ default&$x -\frac{x^{2} {\mathrm e}}{3}-\frac{{\mathrm e} \,{\mathrm e}^{x}}{3}+\frac{{\mathrm e}^{2} {\mathrm e} \ln \left(\frac{x}{4}\right) x}{3}$&$27$\\ norman&$x -\frac{x^{2} {\mathrm e}}{3}-\frac{{\mathrm e} \,{\mathrm e}^{x}}{3}+\frac{{\mathrm e}^{2} {\mathrm e} \ln \left(\frac{x}{4}\right) x}{3}$&$27$\\ \hline \end{longtable}"," ",0,"1/3*exp(3)*x*ln(1/4*x)-1/3*exp(x+1)-1/3*x^2*exp(1)+x","A"
7687,1,13,11,0.020000," ","int((-4*x*ln(2*x)-4*x+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x \ln \left(2 x \right)+2 \ln \left(x \right)$&$13$\\ derivativedivides&$-4 x \ln \left(2 x \right)+2 \ln \left(2 x \right)$&$15$\\ default&$-4 x \ln \left(2 x \right)+2 \ln \left(2 x \right)$&$15$\\ norman&$-4 x \ln \left(2 x \right)+2 \ln \left(2 x \right)$&$15$\\ \hline \end{longtable}"," ",0,"-4*x*ln(2*x)+2*ln(x)","A"
7688,1,111,22,0.076000," ","int(1/9*((((-114*x^3+36*x)*exp(x)^2+18*exp(x)*x^3)*ln(x)+18*exp(x)^2*x^2)*ln(ln(x))+((722*x^4+114*x^3-36*x-72)*exp(x)^2+(-114*x^4+96*x^3-36*x^2-36*x)*exp(x)-18*x^3)*ln(x)+(-114*x^3-18*x^2-36*x)*exp(x)^2-18*exp(x)*x^2)/x^3/exp(x)^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)\right)^{2}-\frac{2 \left(19 \,{\mathrm e}^{x} x^{2}+3 x +6 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x} \ln \left(\ln \left(x \right)\right)}{3 x}-\frac{\left(-361 \,{\mathrm e}^{2 x} x^{4}+18 \ln \left(\ln \left(x \right)\right) {\mathrm e}^{2 x} x^{2}-114 \,{\mathrm e}^{2 x} x^{3}-114 \,{\mathrm e}^{x} x^{3}-18 \,{\mathrm e}^{x} x^{2}-36 x \,{\mathrm e}^{2 x}-9 x^{2}-36 \,{\mathrm e}^{x} x -36 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{-2 x}}{9 x^{2}}$&$111$\\ \hline \end{longtable}"," ",0,"ln(ln(x))^2-2/3*(19*exp(x)*x^2+3*x+6*exp(x))*exp(-x)/x*ln(ln(x))-1/9*(-361*exp(2*x)*x^4+18*ln(ln(x))*exp(2*x)*x^2-114*exp(2*x)*x^3-114*exp(x)*x^3-18*exp(x)*x^2-36*x*exp(2*x)-9*x^2-36*exp(x)*x-36*exp(2*x))*exp(-2*x)/x^2","B"
7689,1,6,15,0.009000," ","int(-2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x^{2}$&$6$\\ default&$-x^{2}$&$6$\\ norman&$-x^{2}$&$6$\\ risch&$-x^{2}$&$6$\\ \hline \end{longtable}"," ",0,"-x^2","A"
7690,1,35,23,0.365000," ","int((85*ln(1/3*ln(5))^2+140*ln(1/3*ln(5))-60)/(289*ln(1/3*ln(5))^2+(680*x-204)*ln(1/3*ln(5))+400*x^2-240*x+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{17 \ln \left(\frac{\ln \left(5\right)}{3}\right)^{2}+28 \ln \left(\frac{\ln \left(5\right)}{3}\right)-12}{4 \left(17 \ln \left(\frac{\ln \left(5\right)}{3}\right)+20 x -6\right)}$&$35$\\ default&$-\frac{85 \ln \left(\frac{\ln \left(5\right)}{3}\right)^{2}+140 \ln \left(\frac{\ln \left(5\right)}{3}\right)-60}{20 \left(17 \ln \left(\frac{\ln \left(5\right)}{3}\right)+20 x -6\right)}$&$35$\\ norman&$\frac{3-\frac{17 \ln \left(3\right)^{2}}{4}+\frac{17 \ln \left(3\right) \ln \left(\ln \left(5\right)\right)}{2}-\frac{17 \ln \left(\ln \left(5\right)\right)^{2}}{4}+7 \ln \left(3\right)-7 \ln \left(\ln \left(5\right)\right)}{17 \ln \left(\frac{\ln \left(5\right)}{3}\right)+20 x -6}$&$47$\\ risch&$\frac{\ln \left(3\right)^{2}}{4 \ln \left(3\right)-4 \ln \left(\ln \left(5\right)\right)-\frac{80 x}{17}+\frac{24}{17}}-\frac{\ln \left(3\right) \ln \left(\ln \left(5\right)\right)}{2 \left(\ln \left(3\right)-\ln \left(\ln \left(5\right)\right)-\frac{20 x}{17}+\frac{6}{17}\right)}+\frac{\ln \left(\ln \left(5\right)\right)^{2}}{4 \ln \left(3\right)-4 \ln \left(\ln \left(5\right)\right)-\frac{80 x}{17}+\frac{24}{17}}-\frac{7 \ln \left(3\right)}{17 \left(\ln \left(3\right)-\ln \left(\ln \left(5\right)\right)-\frac{20 x}{17}+\frac{6}{17}\right)}+\frac{7 \ln \left(\ln \left(5\right)\right)}{17 \left(\ln \left(3\right)-\ln \left(\ln \left(5\right)\right)-\frac{20 x}{17}+\frac{6}{17}\right)}-\frac{3}{17 \left(\ln \left(3\right)-\ln \left(\ln \left(5\right)\right)-\frac{20 x}{17}+\frac{6}{17}\right)}$&$117$\\ meijerg&$\frac{3 x}{\left(\frac{17 \ln \left(\frac{\ln \left(5\right)}{3}\right)}{20}-\frac{3}{10}\right) \left(1-\frac{20 x}{-17 \ln \left(\frac{\ln \left(5\right)}{3}\right)+6}\right) \left(-17 \ln \left(\frac{\ln \left(5\right)}{3}\right)+6\right)}-\frac{17 \ln \left(\frac{\ln \left(5\right)}{3}\right)^{2} x}{4 \left(\frac{17 \ln \left(\frac{\ln \left(5\right)}{3}\right)}{20}-\frac{3}{10}\right) \left(1-\frac{20 x}{-17 \ln \left(\frac{\ln \left(5\right)}{3}\right)+6}\right) \left(-17 \ln \left(\frac{\ln \left(5\right)}{3}\right)+6\right)}-\frac{7 \ln \left(\frac{\ln \left(5\right)}{3}\right) x}{\left(\frac{17 \ln \left(\frac{\ln \left(5\right)}{3}\right)}{20}-\frac{3}{10}\right) \left(1-\frac{20 x}{-17 \ln \left(\frac{\ln \left(5\right)}{3}\right)+6}\right) \left(-17 \ln \left(\frac{\ln \left(5\right)}{3}\right)+6\right)}$&$143$\\ \hline \end{longtable}"," ",0,"-1/4*(17*ln(1/3*ln(5))^2+28*ln(1/3*ln(5))-12)/(17*ln(1/3*ln(5))+20*x-6)","A"
7691,1,35,19,0.322000," ","int(((((x-1)*ln(3)+x^2-2*x)*exp(x)-3*ln(3)-6*x)*ln(x)+(ln(3)+x)*exp(x)+3*ln(3)+3*x)/(((x*ln(3)+x^2)*exp(x)+3*x*ln(3)+3*x^2)*ln(x)-10*x^2*ln(3)^2-20*x^3*ln(3)-10*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)-\ln \left(\ln \left(3\right)+x \right)+\ln \left(10 x \ln \left(3\right)+10 x^{2}-{\mathrm e}^{x} \ln \left(x \right)-3 \ln \left(x \right)\right)$&$35$\\ risch&$-\ln \left(x \ln \left(3\right)+x^{2}\right)+\ln \left(3+{\mathrm e}^{x}\right)+\ln \left(\ln \left(x \right)-\frac{10 x \left(\ln \left(3\right)+x \right)}{3+{\mathrm e}^{x}}\right)$&$35$\\ \hline \end{longtable}"," ",0,"-ln(x)-ln(ln(3)+x)+ln(10*x*ln(3)+10*x^2-exp(x)*ln(x)-3*ln(x))","A"
7692,1,20,15,0.020000," ","int(-ln(x)+(-5*x-1)*exp(5*x)+2*x-902,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-901 x -x \,{\mathrm e}^{5 x}+x^{2}-x \ln \left(x \right)$&$20$\\ norman&$-901 x -x \,{\mathrm e}^{5 x}+x^{2}-x \ln \left(x \right)$&$20$\\ risch&$-901 x -x \,{\mathrm e}^{5 x}+x^{2}-x \ln \left(x \right)$&$20$\\ \hline \end{longtable}"," ",0,"-901*x-x*exp(5*x)+x^2-x*ln(x)","A"
7693,1,43,25,0.045000," ","int(((4+3*x)*ln(4+3*x)^4+(-12*x^2+56*x+96)*ln(4+3*x)^3+(18*x^3-192*x^2+360*x+864)*ln(4+3*x)^2+(-12*x^4+194*x^3-1010*x^2+864*x+3456)*ln(4+3*x)+3*x^5-62*x^4+518*x^3-1740*x^2+432*x+5184)/((4+3*x)*ln(4+3*x)^4+(-12*x^2+56*x+96)*ln(4+3*x)^3+(18*x^3-186*x^2+368*x+864)*ln(4+3*x)^2+(-12*x^4+188*x^3-952*x^2+960*x+3456)*ln(4+3*x)+3*x^5-62*x^4+491*x^3-1604*x^2+720*x+5184),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{x^{2}}{\ln \left(4+3 x \right)^{2}-2 \ln \left(4+3 x \right) x +x^{2}+12 \ln \left(4+3 x \right)-11 x +36}$&$43$\\ \hline \end{longtable}"," ",0,"x-x^2/(ln(4+3*x)^2-2*ln(4+3*x)*x+x^2+12*ln(4+3*x)-11*x+36)","A"
7694,1,37,22,0.039000," ","int((-8*x^7-77*x^6-252*x^5-270*x^4+108*x^3+243*x^2)/exp(4/3)^4/exp(4)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\left(x^{5}+11 x^{4}+42 x^{3}+54 x^{2}-27 x -81\right) x^{3} {\mathrm e}^{-16} {\mathrm e}^{-\frac{16}{3}}$&$37$\\ default&${\mathrm e}^{-\frac{16}{3}} {\mathrm e}^{-16} \left(-x^{8}-11 x^{7}-42 x^{6}-54 x^{5}+27 x^{4}+81 x^{3}\right)$&$41$\\ risch&$-{\mathrm e}^{-\frac{64}{3}} x^{8}-11 \,{\mathrm e}^{-\frac{64}{3}} x^{7}-42 \,{\mathrm e}^{-\frac{64}{3}} x^{6}-54 \,{\mathrm e}^{-\frac{64}{3}} x^{5}+27 \,{\mathrm e}^{-\frac{64}{3}} x^{4}+81 \,{\mathrm e}^{-\frac{64}{3}} x^{3}$&$44$\\ norman&$\left(81 \,{\mathrm e}^{-4} {\mathrm e}^{-\frac{4}{3}} x^{3}+27 \,{\mathrm e}^{-4} {\mathrm e}^{-\frac{4}{3}} x^{4}-54 \,{\mathrm e}^{-4} {\mathrm e}^{-\frac{4}{3}} x^{5}-42 \,{\mathrm e}^{-4} {\mathrm e}^{-\frac{4}{3}} x^{6}-11 \,{\mathrm e}^{-4} {\mathrm e}^{-\frac{4}{3}} x^{7}-{\mathrm e}^{-4} {\mathrm e}^{-\frac{4}{3}} x^{8}\right) {\mathrm e}^{-12} {\mathrm e}^{-4}$&$89$\\ \hline \end{longtable}"," ",0,"-(x^5+11*x^4+42*x^3+54*x^2-27*x-81)*x^3/exp(4)^4/exp(4/3)^4","A"
7695,1,18,23,0.105000," ","int(((-8*x^5-24*x)*ln(x)+4*x^5+4*x^3-12*x)/(x^8+2*x^6-5*x^4-6*x^2+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 \ln \left(x \right) x^{2}}{x^{4}+x^{2}-3}$&$18$\\ norman&$\frac{4 \ln \left(x \right) x^{2}}{x^{4}+x^{2}-3}$&$18$\\ risch&$\frac{4 \ln \left(x \right) x^{2}}{x^{4}+x^{2}-3}$&$18$\\ \hline \end{longtable}"," ",0,"4*ln(x)*x^2/(x^4+x^2-3)","A"
7696,1,16,19,0.026000," ","int(1/3*(3*exp(x)+(-2*x+2)*ln(3)+3*x-3)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(2 \ln \left(3\right)-3\right) x \,{\mathrm e}^{-x}}{3}$&$16$\\ default&$x -x \,{\mathrm e}^{-x}+\frac{2 x \ln \left(3\right) {\mathrm e}^{-x}}{3}$&$19$\\ norman&$\left(\left(\frac{2 \ln \left(3\right)}{3}-1\right) x +{\mathrm e}^{x} x \right) {\mathrm e}^{-x}$&$19$\\ \hline \end{longtable}"," ",0,"x+1/3*(2*ln(3)-3)*x*exp(-x)","A"
7697,1,229,22,0.137000," ","int((((5*x^3+18*x^2+16*x)*exp(x)+5*x^3+21*x^2+28*x+12)*ln(((5*x^2+8*x)*exp(x)+5*x^2+11*x+6)/(2+x))+(5*x^4+23*x^3+36*x^2+16*x)*exp(x)+5*x^3+20*x^2+16*x)*exp(x*ln(((5*x^2+8*x)*exp(x)+5*x^2+11*x+6)/(2+x)))/((5*x^3+18*x^2+16*x)*exp(x)+5*x^3+21*x^2+28*x+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x \left(i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{6}{5}+\left({\mathrm e}^{x}+1\right) x^{2}+\left(\frac{8 \,{\mathrm e}^{x}}{5}+\frac{11}{5}\right) x \right)}{2+x}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{6}{5}+\left({\mathrm e}^{x}+1\right) x^{2}+\left(\frac{8 \,{\mathrm e}^{x}}{5}+\frac{11}{5}\right) x \right)}{2+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{2+x}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{6}{5}+\left({\mathrm e}^{x}+1\right) x^{2}+\left(\frac{8 \,{\mathrm e}^{x}}{5}+\frac{11}{5}\right) x \right)}{2+x}\right)^{2} \mathrm{csgn}\left(i \left(\frac{6}{5}+\left({\mathrm e}^{x}+1\right) x^{2}+\left(\frac{8 \,{\mathrm e}^{x}}{5}+\frac{11}{5}\right) x \right)\right)+i \pi  \,\mathrm{csgn}\left(\frac{i \left(\frac{6}{5}+\left({\mathrm e}^{x}+1\right) x^{2}+\left(\frac{8 \,{\mathrm e}^{x}}{5}+\frac{11}{5}\right) x \right)}{2+x}\right) \mathrm{csgn}\left(\frac{i}{2+x}\right) \mathrm{csgn}\left(i \left(\frac{6}{5}+\left({\mathrm e}^{x}+1\right) x^{2}+\left(\frac{8 \,{\mathrm e}^{x}}{5}+\frac{11}{5}\right) x \right)\right)-2 \ln \left(5\right)-2 \ln \left(\frac{6}{5}+\left({\mathrm e}^{x}+1\right) x^{2}+\left(\frac{8 \,{\mathrm e}^{x}}{5}+\frac{11}{5}\right) x \right)+2 \ln \left(2+x \right)\right)}{2}}$&$229$\\ \hline \end{longtable}"," ",0,"exp(-1/2*x*(I*Pi*csgn(I/(2+x)*(6/5+(exp(x)+1)*x^2+(8/5*exp(x)+11/5)*x))^3-I*Pi*csgn(I/(2+x)*(6/5+(exp(x)+1)*x^2+(8/5*exp(x)+11/5)*x))^2*csgn(I/(2+x))-I*Pi*csgn(I/(2+x)*(6/5+(exp(x)+1)*x^2+(8/5*exp(x)+11/5)*x))^2*csgn(I*(6/5+(exp(x)+1)*x^2+(8/5*exp(x)+11/5)*x))+I*Pi*csgn(I/(2+x)*(6/5+(exp(x)+1)*x^2+(8/5*exp(x)+11/5)*x))*csgn(I/(2+x))*csgn(I*(6/5+(exp(x)+1)*x^2+(8/5*exp(x)+11/5)*x))-2*ln(5)-2*ln(6/5+(exp(x)+1)*x^2+(8/5*exp(x)+11/5)*x)+2*ln(2+x)))","C"
7698,1,437,28,0.227000," ","int((((x+1)*exp(x)*ln(x)^2+(-x^2-2*x+1)*exp(x)*ln(x))*ln(1/5*x^2/ln(x))+((3+x)*exp(x)+1)*ln(x)^2+((-x^2-4*x)*exp(x)+1-2*x)*ln(x)+exp(x)*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(5\right) {\mathrm e}^{x}+2 x \,{\mathrm e}^{x} \ln \left(x \right)^{2}+x \,{\mathrm e}^{x} \ln \left(x \right)-2 x^{2} {\mathrm e}^{x} \ln \left(x \right)-x^{2}-{\mathrm e}^{x} x^{2}+x \ln \left(x \right)-x \ln \left(5\right) {\mathrm e}^{x} \ln \left(x \right)-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) {\mathrm e}^{x} \ln \left(x \right)}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x} \ln \left(x \right)}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) {\mathrm e}^{x}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) {\mathrm e}^{x}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}}{2}+\left({\mathrm e}^{x} x^{2}-x \,{\mathrm e}^{x} \ln \left(x \right)\right) \ln \left(\ln \left(x \right)\right)+\frac{i \pi  x \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) {\mathrm e}^{x} \ln \left(x \right)}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right)^{3} {\mathrm e}^{x} \ln \left(x \right)}{2}+i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x} \ln \left(x \right)+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x} \ln \left(x \right)}{2}-\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x} \ln \left(x \right)}{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(x \right)}\right)^{3} {\mathrm e}^{x}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}}{2}$&$437$\\ \hline \end{longtable}"," ",0,"x^2*ln(5)*exp(x)+2*x*exp(x)*ln(x)^2+x*exp(x)*ln(x)-2*x^2*exp(x)*ln(x)-x^2-exp(x)*x^2+x*ln(x)-x*ln(5)*exp(x)*ln(x)-1/2*I*Pi*x*csgn(I*x^2/ln(x))*csgn(I*x^2)*csgn(I/ln(x))*exp(x)*ln(x)+1/2*I*Pi*x*csgn(I*x^2/ln(x))^2*csgn(I*x^2)*exp(x)*ln(x)-1/2*I*Pi*x^2*csgn(I*x^2/ln(x))^2*csgn(I/ln(x))*exp(x)+1/2*I*Pi*x^2*csgn(I*x^2/ln(x))*csgn(I*x^2)*csgn(I/ln(x))*exp(x)-1/2*I*Pi*x^2*csgn(I*x^2/ln(x))^2*csgn(I*x^2)*exp(x)+(exp(x)*x^2-x*exp(x)*ln(x))*ln(ln(x))+1/2*I*Pi*x*csgn(I*x^2/ln(x))^2*csgn(I/ln(x))*exp(x)*ln(x)-1/2*I*Pi*x*csgn(I*x^2/ln(x))^3*exp(x)*ln(x)+I*Pi*x*csgn(I*x)*csgn(I*x^2)^2*exp(x)*ln(x)+1/2*I*Pi*x^2*csgn(I*x^2)^3*exp(x)-1/2*I*Pi*x*csgn(I*x^2)^3*exp(x)*ln(x)-1/2*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)*exp(x)*ln(x)-I*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2*exp(x)+1/2*I*Pi*x^2*csgn(I*x^2/ln(x))^3*exp(x)+1/2*I*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)*exp(x)","C"
7699,1,32,33,0.034000," ","int(((exp(x^2)-4)*ln(4-exp(x^2))^2+((6*x^5-40*x^4+64*x^3-2)*exp(x^2)-24*x^5+160*x^4-256*x^3+8)*ln(4-exp(x^2))+(-2*x^7+16*x^6-38*x^5+40*x^4-64*x^3+8*x+1)*exp(x^2)+24*x^5-160*x^4+256*x^3-4)/((exp(x^2)-4)*ln(4-exp(x^2))^2+(-2*exp(x^2)+8)*ln(4-exp(x^2))+exp(x^2)-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x^{6}-8 x^{5}+16 x^{4}-4}{\ln \left(4-{\mathrm e}^{x^{2}}\right)-1}$&$32$\\ \hline \end{longtable}"," ",0,"x+(x^6-8*x^5+16*x^4-4)/(ln(4-exp(x^2))-1)","A"
7700,1,12,11,0.021000," ","int(-12/5*x^2*ln(5)+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{4 x^{3} \ln \left(5\right)}{5}+2 x$&$12$\\ norman&$-\frac{4 x^{3} \ln \left(5\right)}{5}+2 x$&$12$\\ risch&$-\frac{4 x^{3} \ln \left(5\right)}{5}+2 x$&$12$\\ gosper&$-\frac{2 x \left(2 x^{2} \ln \left(5\right)-5\right)}{5}$&$13$\\ \hline \end{longtable}"," ",0,"-4/5*x^3*ln(5)+2*x","A"
7701,1,32,29,0.189000," ","int(((-625*x^2-8750*x)*ln(x)^2+(-1500*x^2-12250*x)*ln(x)-exp(9)-275*x^2-2100*x)/(390625*x^4*ln(x)^4+312500*x^4*ln(x)^3+(-1250*x^2*exp(9)+93750*x^4)*ln(x)^2+(-500*x^2*exp(9)+12500*x^4)*ln(x)+exp(9)^2-50*x^2*exp(9)+625*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x +7}{-625 x^{2} \ln \left(x \right)^{2}-250 x^{2} \ln \left(x \right)-25 x^{2}+{\mathrm e}^{9}}$&$32$\\ norman&$\frac{-x -7}{-625 x^{2} \ln \left(x \right)^{2}-250 x^{2} \ln \left(x \right)-25 x^{2}+{\mathrm e}^{9}}$&$33$\\ \hline \end{longtable}"," ",0,"-(x+7)/(-625*x^2*ln(x)^2-250*x^2*ln(x)-25*x^2+exp(9))","A"
7702,1,25,24,0.050000," ","int(1/2*((8*x^5-12*x^4-60*x^3-4*x^2)*exp(x^4-2*x^3-15*x^2-2*x)+exp(3))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{3}}{2 x}+{\mathrm e}^{x \left(x^{3}-2 x^{2}-15 x -2\right)}$&$25$\\ norman&$\frac{{\mathrm e}^{x^{4}-2 x^{3}-15 x^{2}-2 x} x -\frac{{\mathrm e}^{3}}{2}}{x}$&$30$\\ \hline \end{longtable}"," ",0,"-1/2*exp(3)/x+exp(x*(x^3-2*x^2-15*x-2))","A"
7703,1,16,16,0.024000," ","int(1/4*((-5*x+5)*ln(x)^4+5*ln(x)^3)*exp(ln(x)-x-2)^4/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \ln \left(x \right)^{4} x^{4} {\mathrm e}^{-4 x -8}}{16}$&$16$\\ \hline \end{longtable}"," ",0,"5/16*ln(x)^4*x^4*exp(-4*x-8)","A"
7704,1,53,28,0.167000," ","int(((-54*x^11+270*x^8-144*x^7-450*x^5+120*x^4+288*x^3+250*x^2+200*x)*ln(3*x)+(-27*x^9+135*x^6-225*x^3+125)*exp(3)-27*x^11+135*x^8+72*x^7-225*x^5-240*x^4-48*x^3+125*x^2+200*x+80)/(27*x^10-135*x^7+225*x^4-125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(9 x^{8}-30 x^{5}-24 x^{4}+25 x^{2}+40 x +16\right) \ln \left(3 x \right)}{9 x^{6}-30 x^{3}+25}-\ln \left(x \right) {\mathrm e}^{3}$&$53$\\ derivativedivides&$-\ln \left(3 x \right) {\mathrm e}^{3}-\frac{16 \ln \left(3 x \right)}{25}-x^{2} \ln \left(3 x \right)+\frac{72 \ln \left(3 x \right) x}{27 x^{3}-45}+\frac{432 \ln \left(3 x \right) x^{3} \left(27 x^{3}-90\right)}{25 \left(27 x^{3}-45\right)^{2}}$&$66$\\ default&$-\ln \left(3 x \right) {\mathrm e}^{3}-\frac{16 \ln \left(3 x \right)}{25}-x^{2} \ln \left(3 x \right)+\frac{72 \ln \left(3 x \right) x}{27 x^{3}-45}+\frac{432 \ln \left(3 x \right) x^{3} \left(27 x^{3}-90\right)}{25 \left(27 x^{3}-45\right)^{2}}$&$66$\\ norman&$\frac{-16 \ln \left(3 x \right)-40 x \ln \left(3 x \right)-25 x^{2} \ln \left(3 x \right)+24 \ln \left(3 x \right) x^{4}+30 \ln \left(3 x \right) x^{5}-9 \ln \left(3 x \right) x^{8}}{\left(3 x^{3}-5\right)^{2}}-\ln \left(x \right) {\mathrm e}^{3}$&$68$\\ \hline \end{longtable}"," ",0,"-(9*x^8-30*x^5-24*x^4+25*x^2+40*x+16)/(9*x^6-30*x^3+25)*ln(3*x)-ln(x)*exp(3)","A"
7705,1,38,34,0.047000," ","int(((6*x^5-10*x^4+4*x^3)*ln(x)^3+(-36*x^7+60*x^6-24*x^5-10*x^4+8*x^3)*ln(x)^2+(72*x^9-120*x^8+48*x^7+32*x^6-24*x^5+2*x^4+2*x^3)*ln(x)-48*x^11+80*x^10-32*x^9-24*x^8+16*x^7-4*x^6+4*x^5-2*x^3)*exp(((x^6-2*x^5+x^4)*ln(x)^2+(-4*x^8+8*x^7-4*x^6-2*x^5+2*x^4)*ln(x)+4*x^10-8*x^9+4*x^8+4*x^7-4*x^6+x^4)/(ln(x)^2-4*x^2*ln(x)+4*x^4))/(ln(x)^3-6*x^2*ln(x)^2+12*x^4*ln(x)-8*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{4} \left(-2 x^{3}+x \ln \left(x \right)+2 x^{2}-\ln \left(x \right)-1\right)^{2}}{\left(-2 x^{2}+\ln \left(x \right)\right)^{2}}}$&$38$\\ \hline \end{longtable}"," ",0,"exp(x^4*(-2*x^3+x*ln(x)+2*x^2-ln(x)-1)^2/(-2*x^2+ln(x))^2)","A"
7706,1,18,17,0.264000," ","int(1/27*((25*x^2+25*x-25)*exp(x)-50)*exp(((x+1)*exp(x)+2*x+2)/x)*exp(25/27*exp(((x+1)*exp(x)+2*x+2)/x)-200/9)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{25 \,{\mathrm e}^{\frac{\left({\mathrm e}^{x}+2\right) \left(x +1\right)}{x}}}{27}-\frac{200}{9}}$&$18$\\ norman&${\mathrm e}^{\frac{25 \,{\mathrm e}^{\frac{\left(x +1\right) {\mathrm e}^{x}+2 x +2}{x}}}{27}-\frac{200}{9}}$&$22$\\ \hline \end{longtable}"," ",0,"exp(25/27*exp((exp(x)+2)/x*(x+1))-200/9)","A"
7707,1,69,23,0.063000," ","int(((2*x^2*exp(1)^2+(9*x^3-4*x^2)*exp(1)+9*x^4-9*x^3+2*x^2)*ln(x^2)^3+(2*x*exp(1)+6*x^2-2*x)*ln(x^2)^2+(-4*x*exp(1)-6*x^2+4*x)*ln(x^2)-4)/x/ln(x^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 x^{4}}{4}+3 x^{3} {\mathrm e}-3 x^{3}+x^{2} {\mathrm e}^{2}-2 x^{2} {\mathrm e}+x^{2}+\frac{2 x \,{\mathrm e} \ln \left(x^{2}\right)+3 x^{2} \ln \left(x^{2}\right)-2 x \ln \left(x^{2}\right)+1}{\ln \left(x^{2}\right)^{2}}$&$69$\\ norman&$\frac{1+\left(-3+3 \,{\mathrm e}\right) x^{3} \ln \left(x^{2}\right)^{2}+\left(2 \,{\mathrm e}-2\right) x \ln \left(x^{2}\right)+\left({\mathrm e}^{2}-2 \,{\mathrm e}+1\right) x^{2} \ln \left(x^{2}\right)^{2}+3 x^{2} \ln \left(x^{2}\right)+\frac{9 x^{4} \ln \left(x^{2}\right)^{2}}{4}}{\ln \left(x^{2}\right)^{2}}$&$78$\\ \hline \end{longtable}"," ",0,"9/4*x^4+3*x^3*exp(1)-3*x^3+x^2*exp(2)-2*x^2*exp(1)+x^2+(2*x*exp(1)*ln(x^2)+3*x^2*ln(x^2)-2*x*ln(x^2)+1)/ln(x^2)^2","B"
7708,1,17,16,0.065000," ","int(1/5*((6*x+5)*exp(5)*exp(1/5*x+25)+(10*x+10)*exp(5))*exp(x+ln(x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{\frac{6 x}{5}+30}+2 x \,{\mathrm e}^{5+x}$&$17$\\ norman&${\mathrm e}^{-125} {\mathrm e}^{5} x \,{\mathrm e}^{\frac{6 x}{5}+150}+2 \,{\mathrm e}^{-125} {\mathrm e}^{5} x \,{\mathrm e}^{x +125}$&$35$\\ default&$2 \,{\mathrm e}^{5} {\mathrm e}^{x}+2 \,{\mathrm e}^{5} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)-25 \,{\mathrm e}^{\frac{6 x}{5}+30}+\frac{5 \,{\mathrm e}^{\frac{6 x}{5}+30} \left(\frac{6 x}{5}+30\right)}{6}$&$42$\\ \hline \end{longtable}"," ",0,"x*exp(6/5*x+30)+2*x*exp(5+x)","A"
7709,1,26,25,0.048000," ","int(((-192*x^5-696*x^4-441*x^3-54*x^2)*exp(x)^2+96*x^3+198*x^2+108*x)/((64*x^7+48*x^6+9*x^5)*exp(x)^10+(640*x^6+480*x^5+90*x^4)*exp(x)^8+(2560*x^5+1920*x^4+360*x^3)*exp(x)^6+(5120*x^4+3840*x^3+720*x^2)*exp(x)^4+(5120*x^3+3840*x^2+720*x)*exp(x)^2+2048*x^2+1536*x+288),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x^{2} \left(3+x \right)}{\left(8 x +3\right) \left(x \,{\mathrm e}^{2 x}+2\right)^{4}}$&$26$\\ \hline \end{longtable}"," ",0,"3*x^2*(3+x)/(8*x+3)/(x*exp(2*x)+2)^4","A"
7710,1,18,18,0.035000," ","int(1/2*(2*x^7*exp(1/2*(x^8*ln(x)+625)/x^7)-x^8*ln(x)-x^8+2*x^7+4375)/x^7/exp(1/2*(x^8*ln(x)+625)/x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +x \,x^{-\frac{x}{2}} {\mathrm e}^{-\frac{625}{2 x^{7}}}$&$18$\\ \hline \end{longtable}"," ",0,"x+x/(x^(1/2*x))*exp(-625/2/x^7)","A"
7711,1,20,20,0.014000," ","int(exp(x)-2*x*exp(-x^2+2)-2*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}-x +{\mathrm e}^{-x^{2}+2}+{\mathrm e}^{x}$&$20$\\ norman&$-x^{2}-x +{\mathrm e}^{-x^{2}+2}+{\mathrm e}^{x}$&$20$\\ risch&$-x^{2}-x +{\mathrm e}^{-x^{2}+2}+{\mathrm e}^{x}$&$20$\\ \hline \end{longtable}"," ",0,"-x^2-x+exp(-x^2+2)+exp(x)","A"
7712,1,30,21,0.035000," ","int((-x*ln(x)*ln(1/5*ln(x))^2+(6*x*ln(x)-2*x+8)*ln(1/5*ln(x))+(-4*x^2+x)*ln(x)+6*x-24)*exp((-x+4)*ln(1/5*ln(x))^2+(6*x-24)*ln(1/5*ln(x))-2*x^2+x+28)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{\ln \left(x \right)}{5}\right)^{6 x -24} {\mathrm e}^{-\left(x -4\right) \left(\ln \left(\frac{\ln \left(x \right)}{5}\right)^{2}+2 x +7\right)}$&$30$\\ \hline \end{longtable}"," ",0,"(1/5*ln(x))^(6*x-24)*exp(-(x-4)*(ln(1/5*ln(x))^2+2*x+7))","A"
7713,1,20,20,0.054000," ","int((((x^8+4*x^7-2*x^6-8*x^5)*exp(x)+2*x^3)*exp(exp(x)*x^4+2)-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x}+\left(x^{2}-2\right) {\mathrm e}^{{\mathrm e}^{x} x^{4}+2}$&$20$\\ \hline \end{longtable}"," ",0,"1/x+(x^2-2)*exp(exp(x)*x^4+2)","A"
7714,1,22,20,0.014000," ","int(exp(x)-4*x^3+18*x^2-2*x-22,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{4}+6 x^{3}-x^{2}-22 x +{\mathrm e}^{x}$&$22$\\ norman&$-x^{4}+6 x^{3}-x^{2}-22 x +{\mathrm e}^{x}$&$22$\\ risch&$-x^{4}+6 x^{3}-x^{2}-22 x +{\mathrm e}^{x}$&$22$\\ \hline \end{longtable}"," ",0,"-x^4+6*x^3-x^2-22*x+exp(x)","A"
7715,1,4181,25,0.470000," ","int(((-32*x^6-32*x^5-64*x^4)*exp(2*x^4)^4*ln(x/(x^2+x+2))^4+(4*x^2-8)*exp(2*x^4)^4*ln(x/(x^2+x+2))^3+x^3+x^2+2*x)/(x^3+x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$4181$\\ \hline \end{longtable}"," ",0,"x-3/8*Pi^4*csgn(I*x/(x^2+x+2))^10*csgn(I*x)^2*exp(8*x^4)+1/4*Pi^4*csgn(I*x/(x^2+x+2))^9*csgn(I*x)^3*exp(8*x^4)-1/16*Pi^4*csgn(I*x/(x^2+x+2))^8*csgn(I*x)^4*exp(8*x^4)+3/2*Pi^2*csgn(I*x/(x^2+x+2))^6*exp(8*x^4)*ln(x)^2-1/16*Pi^4*csgn(I/(x^2+x+2))^4*csgn(I*x/(x^2+x+2))^8*exp(8*x^4)+1/4*Pi^4*csgn(I/(x^2+x+2))^3*csgn(I*x/(x^2+x+2))^9*exp(8*x^4)-3/8*Pi^4*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^10*exp(8*x^4)+1/4*Pi^4*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^11*exp(8*x^4)+1/4*Pi^4*csgn(I*x/(x^2+x+2))^11*csgn(I*x)*exp(8*x^4)+1/4*Pi^4*csgn(I/(x^2+x+2))^4*csgn(I*x/(x^2+x+2))^7*csgn(I*x)*exp(8*x^4)-3/8*Pi^4*csgn(I/(x^2+x+2))^4*csgn(I*x/(x^2+x+2))^6*csgn(I*x)^2*exp(8*x^4)-3*Pi^2*csgn(I*x/(x^2+x+2))^5*csgn(I*x)*exp(8*x^4)*ln(x)^2-Pi^4*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^8*csgn(I*x)^3*exp(8*x^4)+1/4*Pi^4*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^7*csgn(I*x)^4*exp(8*x^4)-Pi^4*csgn(I/(x^2+x+2))^3*csgn(I*x/(x^2+x+2))^6*csgn(I*x)^3*exp(8*x^4)-exp(8*x^4)*ln(x)^4-exp(8*x^4)*ln(x^2+x+2)^4+3/2*I*Pi^3*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^4*csgn(I*x)^3*exp(8*x^4)*ln(x)-9/2*I*Pi^3*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^7*csgn(I*x)*exp(8*x^4)*ln(x)+(-6*exp(8*x^4)*ln(x)^2-6*I*Pi*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^2*exp(8*x^4)*ln(x)+6*I*Pi*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))*csgn(I*x)*exp(8*x^4)*ln(x)+6*I*Pi*csgn(I*x/(x^2+x+2))^3*exp(8*x^4)*ln(x)-6*I*Pi*csgn(I*x/(x^2+x+2))^2*csgn(I*x)*exp(8*x^4)*ln(x)+3/2*Pi^2*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^4*exp(8*x^4)-3*Pi^2*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^3*csgn(I*x)*exp(8*x^4)+3/2*Pi^2*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^2*csgn(I*x)^2*exp(8*x^4)-3*Pi^2*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^5*exp(8*x^4)+6*Pi^2*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^4*csgn(I*x)*exp(8*x^4)-3*Pi^2*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^3*csgn(I*x)^2*exp(8*x^4)+3/2*Pi^2*csgn(I*x/(x^2+x+2))^6*exp(8*x^4)-3*Pi^2*csgn(I*x/(x^2+x+2))^5*csgn(I*x)*exp(8*x^4)+3/2*Pi^2*csgn(I*x/(x^2+x+2))^4*csgn(I*x)^2*exp(8*x^4))*ln(x^2+x+2)^2+(2*I*Pi*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^2*exp(8*x^4)-2*I*Pi*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))*csgn(I*x)*exp(8*x^4)-2*I*Pi*csgn(I*x/(x^2+x+2))^3*exp(8*x^4)+2*I*Pi*csgn(I*x/(x^2+x+2))^2*csgn(I*x)*exp(8*x^4)+4*exp(8*x^4)*ln(x))*ln(x^2+x+2)^3-Pi^4*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^10*csgn(I*x)*exp(8*x^4)+3/2*Pi^4*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^9*csgn(I*x)^2*exp(8*x^4)+(-3*exp(8*x^4)*Pi^2*csgn(I*x/(x^2+x+2))^6*ln(x)+1/2*I*exp(8*x^4)*Pi^3*csgn(I*x/(x^2+x+2))^9-3/2*I*exp(8*x^4)*Pi^3*csgn(I*x/(x^2+x+2))^8*csgn(I*x)+4*exp(8*x^4)*ln(x)^3+6*exp(8*x^4)*Pi^2*csgn(I*x/(x^2+x+2))^5*csgn(I*x)*ln(x)-3*exp(8*x^4)*Pi^2*csgn(I*x/(x^2+x+2))^4*csgn(I*x)^2*ln(x)-1/2*I*exp(8*x^4)*Pi^3*csgn(I*x/(x^2+x+2))^6*csgn(I*x)^3-6*I*exp(8*x^4)*ln(x)^2*Pi*csgn(I*x/(x^2+x+2))^3-6*I*exp(8*x^4)*ln(x)^2*Pi*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))*csgn(I*x)-3/2*I*exp(8*x^4)*Pi^3*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^8+6*exp(8*x^4)*Pi^2*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^3*csgn(I*x)*ln(x)+1/2*I*exp(8*x^4)*Pi^3*csgn(I/(x^2+x+2))^3*csgn(I*x/(x^2+x+2))^3*csgn(I*x)^3-3/2*I*exp(8*x^4)*Pi^3*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^4*csgn(I*x)^3+6*I*exp(8*x^4)*ln(x)^2*Pi*csgn(I*x/(x^2+x+2))^2*csgn(I*x)+6*I*exp(8*x^4)*ln(x)^2*Pi*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^2+9/2*I*exp(8*x^4)*Pi^3*csgn(I*x/(x^2+x+2))^7*csgn(I*x)*csgn(I/(x^2+x+2))-12*exp(8*x^4)*Pi^2*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^4*csgn(I*x)*ln(x)-3*exp(8*x^4)*Pi^2*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^2*csgn(I*x)^2*ln(x)+6*exp(8*x^4)*Pi^2*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^3*csgn(I*x)^2*ln(x)-9/2*I*exp(8*x^4)*Pi^3*csgn(I*x/(x^2+x+2))^6*csgn(I*x)^2*csgn(I/(x^2+x+2))+3/2*I*exp(8*x^4)*Pi^3*csgn(I*x/(x^2+x+2))^5*csgn(I*x)^3*csgn(I/(x^2+x+2))+3/2*I*exp(8*x^4)*Pi^3*csgn(I/(x^2+x+2))^3*csgn(I*x/(x^2+x+2))^5*csgn(I*x)-9/2*I*exp(8*x^4)*Pi^3*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^6*csgn(I*x)+9/2*I*exp(8*x^4)*Pi^3*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^5*csgn(I*x)^2-3/2*I*exp(8*x^4)*Pi^3*csgn(I/(x^2+x+2))^3*csgn(I*x/(x^2+x+2))^4*csgn(I*x)^2+3/2*I*exp(8*x^4)*Pi^3*csgn(I*x/(x^2+x+2))^7*csgn(I*x)^2-1/2*I*exp(8*x^4)*Pi^3*csgn(I/(x^2+x+2))^3*csgn(I*x/(x^2+x+2))^6+3/2*I*exp(8*x^4)*Pi^3*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^7-3*exp(8*x^4)*Pi^2*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^4*ln(x)+6*exp(8*x^4)*Pi^2*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^5*ln(x))*ln(x^2+x+2)+3/2*Pi^4*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^7*csgn(I*x)^3*exp(8*x^4)-3/8*Pi^4*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^6*csgn(I*x)^4*exp(8*x^4)+1/4*Pi^4*csgn(I/(x^2+x+2))^4*csgn(I*x/(x^2+x+2))^5*csgn(I*x)^3*exp(8*x^4)-1/16*Pi^4*csgn(I/(x^2+x+2))^4*csgn(I*x/(x^2+x+2))^4*csgn(I*x)^4*exp(8*x^4)-Pi^4*csgn(I/(x^2+x+2))^3*csgn(I*x/(x^2+x+2))^8*csgn(I*x)*exp(8*x^4)+1/4*Pi^4*csgn(I/(x^2+x+2))^3*csgn(I*x/(x^2+x+2))^5*csgn(I*x)^4*exp(8*x^4)-1/16*Pi^4*csgn(I*x/(x^2+x+2))^12*exp(8*x^4)-3*Pi^2*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^5*exp(8*x^4)*ln(x)^2+9/2*I*Pi^3*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^6*csgn(I*x)^2*exp(8*x^4)*ln(x)-3/2*I*Pi^3*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^5*csgn(I*x)^3*exp(8*x^4)*ln(x)+3/2*I*Pi^3*csgn(I/(x^2+x+2))^3*csgn(I*x/(x^2+x+2))^4*csgn(I*x)^2*exp(8*x^4)*ln(x)-1/2*I*Pi^3*csgn(I/(x^2+x+2))^3*csgn(I*x/(x^2+x+2))^3*csgn(I*x)^3*exp(8*x^4)*ln(x)+3/2*Pi^4*csgn(I/(x^2+x+2))^3*csgn(I*x/(x^2+x+2))^7*csgn(I*x)^2*exp(8*x^4)-3/2*I*Pi^3*csgn(I/(x^2+x+2))^3*csgn(I*x/(x^2+x+2))^5*csgn(I*x)*exp(8*x^4)*ln(x)-3*Pi^2*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^3*csgn(I*x)*exp(8*x^4)*ln(x)^2+3/2*Pi^2*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^2*csgn(I*x)^2*exp(8*x^4)*ln(x)^2+6*Pi^2*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^4*csgn(I*x)*exp(8*x^4)*ln(x)^2-3*Pi^2*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^3*csgn(I*x)^2*exp(8*x^4)*ln(x)^2-2*I*Pi*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^2*exp(8*x^4)*ln(x)^3-2*I*Pi*csgn(I*x/(x^2+x+2))^2*csgn(I*x)*exp(8*x^4)*ln(x)^3+1/2*I*Pi^3*csgn(I/(x^2+x+2))^3*csgn(I*x/(x^2+x+2))^6*exp(8*x^4)*ln(x)-1/2*I*Pi^3*csgn(I*x/(x^2+x+2))^9*exp(8*x^4)*ln(x)+2*I*Pi*csgn(I*x/(x^2+x+2))^3*exp(8*x^4)*ln(x)^3+3/2*Pi^4*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^9*csgn(I*x)*exp(8*x^4)-9/4*Pi^4*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^8*csgn(I*x)^2*exp(8*x^4)+3/2*Pi^2*csgn(I*x/(x^2+x+2))^4*csgn(I*x)^2*exp(8*x^4)*ln(x)^2+2*I*Pi*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))*csgn(I*x)*exp(8*x^4)*ln(x)^3+9/2*I*Pi^3*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^6*csgn(I*x)*exp(8*x^4)*ln(x)-9/2*I*Pi^3*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^5*csgn(I*x)^2*exp(8*x^4)*ln(x)+3/2*Pi^2*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^4*exp(8*x^4)*ln(x)^2-3/2*I*Pi^3*csgn(I/(x^2+x+2))^2*csgn(I*x/(x^2+x+2))^7*exp(8*x^4)*ln(x)+3/2*I*Pi^3*csgn(I/(x^2+x+2))*csgn(I*x/(x^2+x+2))^8*exp(8*x^4)*ln(x)+3/2*I*Pi^3*csgn(I*x/(x^2+x+2))^8*csgn(I*x)*exp(8*x^4)*ln(x)-3/2*I*Pi^3*csgn(I*x/(x^2+x+2))^7*csgn(I*x)^2*exp(8*x^4)*ln(x)+1/2*I*Pi^3*csgn(I*x/(x^2+x+2))^6*csgn(I*x)^3*exp(8*x^4)*ln(x)","C"
7716,1,23,24,0.047000," ","int(((3*ln(x)-exp(x)+6*x+4)*exp(ln(-3*x*ln(x)+exp(x)-3*x^2-x)-2)*exp(exp(ln(-3*x*ln(x)+exp(x)-3*x^2-x)-2))+3*x*ln(x)-exp(x)+3*x^2+x)/(3*x*ln(x)-exp(x)+3*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\left(-3 x \ln \left(x \right)+{\mathrm e}^{x}-3 x^{2}-x \right) {\mathrm e}^{-2}}$&$23$\\ \hline \end{longtable}"," ",0,"x+exp((-3*x*ln(x)+exp(x)-3*x^2-x)*exp(-2))","A"
7717,1,727,32,0.353000," ","int(((2*exp(x)*x+2*x^3-4)*ln(-exp(x)*x-x^3+2)+((8*x^3-2*x^2-2*x)*exp(x)+8*x^5-6*x^3-16*x^2)*ln(4*x)-4*exp(x)*x^3-4*x^5+8*x^2)*ln(ln(4*x)/(ln(-exp(x)*x-x^3+2)-2*x^2))/((exp(x)*x^2+x^4-2*x)*ln(4*x)*ln(-exp(x)*x-x^3+2)+(-2*exp(x)*x^4-2*x^6+4*x^3)*ln(4*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}\right)^{2}-2 \ln \left(x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}\right) \ln \left(\ln \left(4 x \right)\right)+\ln \left(\ln \left(4 x \right)\right)^{2}+i \pi  \ln \left(\ln \left(4 x \right)\right) \mathrm{csgn}\left(\frac{i}{x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}}\right) \mathrm{csgn}\left(\frac{i \ln \left(4 x \right)}{x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}}\right)^{2}+i \pi  \ln \left(\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)-2 x^{2}\right) \mathrm{csgn}\left(\frac{i}{x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}}\right) \mathrm{csgn}\left(i \ln \left(4 x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(4 x \right)}{x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}}\right)+i \pi  \ln \left(\ln \left(4 x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(4 x \right)}{x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}}\right)^{3}-2 i \pi  \ln \left(\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)-2 x^{2}\right)-2 i \pi  \ln \left(\ln \left(4 x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(4 x \right)}{x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}}\right)^{2}-i \pi  \ln \left(\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)-2 x^{2}\right) \mathrm{csgn}\left(\frac{i \ln \left(4 x \right)}{x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}}\right)^{3}+2 i \pi  \ln \left(\ln \left(4 x \right)\right)+2 i \pi  \ln \left(\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)-2 x^{2}\right) \mathrm{csgn}\left(\frac{i \ln \left(4 x \right)}{x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}}\right)^{2}-i \pi  \ln \left(\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)-2 x^{2}\right) \mathrm{csgn}\left(i \ln \left(4 x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(4 x \right)}{x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}}\right)^{2}-i \pi  \ln \left(\ln \left(4 x \right)\right) \mathrm{csgn}\left(\frac{i}{x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}}\right) \mathrm{csgn}\left(i \ln \left(4 x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(4 x \right)}{x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}}\right)-i \pi  \ln \left(\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)-2 x^{2}\right) \mathrm{csgn}\left(\frac{i}{x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}}\right) \mathrm{csgn}\left(\frac{i \ln \left(4 x \right)}{x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}}\right)^{2}+i \pi  \ln \left(\ln \left(4 x \right)\right) \mathrm{csgn}\left(i \ln \left(4 x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(4 x \right)}{x^{2}-\frac{\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)}{2}}\right)^{2}+2 \ln \left(\ln \left(-{\mathrm e}^{x} x -x^{3}+2\right)-2 x^{2}\right) \ln \left(2\right)-2 \ln \left(2\right) \ln \left(\ln \left(4 x \right)\right)$&$727$\\ \hline \end{longtable}"," ",0,"ln(x^2-1/2*ln(-exp(x)*x-x^3+2))^2-2*ln(x^2-1/2*ln(-exp(x)*x-x^3+2))*ln(ln(4*x))+ln(ln(4*x))^2+I*Pi*ln(ln(4*x))*csgn(I/(x^2-1/2*ln(-exp(x)*x-x^3+2)))*csgn(I*ln(4*x)/(x^2-1/2*ln(-exp(x)*x-x^3+2)))^2+I*Pi*ln(ln(-exp(x)*x-x^3+2)-2*x^2)*csgn(I/(x^2-1/2*ln(-exp(x)*x-x^3+2)))*csgn(I*ln(4*x))*csgn(I*ln(4*x)/(x^2-1/2*ln(-exp(x)*x-x^3+2)))+I*Pi*ln(ln(4*x))*csgn(I*ln(4*x)/(x^2-1/2*ln(-exp(x)*x-x^3+2)))^3-2*I*Pi*ln(ln(-exp(x)*x-x^3+2)-2*x^2)-2*I*Pi*ln(ln(4*x))*csgn(I*ln(4*x)/(x^2-1/2*ln(-exp(x)*x-x^3+2)))^2-I*Pi*ln(ln(-exp(x)*x-x^3+2)-2*x^2)*csgn(I*ln(4*x)/(x^2-1/2*ln(-exp(x)*x-x^3+2)))^3+2*I*Pi*ln(ln(4*x))+2*I*Pi*ln(ln(-exp(x)*x-x^3+2)-2*x^2)*csgn(I*ln(4*x)/(x^2-1/2*ln(-exp(x)*x-x^3+2)))^2-I*Pi*ln(ln(-exp(x)*x-x^3+2)-2*x^2)*csgn(I*ln(4*x))*csgn(I*ln(4*x)/(x^2-1/2*ln(-exp(x)*x-x^3+2)))^2-I*Pi*ln(ln(4*x))*csgn(I/(x^2-1/2*ln(-exp(x)*x-x^3+2)))*csgn(I*ln(4*x))*csgn(I*ln(4*x)/(x^2-1/2*ln(-exp(x)*x-x^3+2)))-I*Pi*ln(ln(-exp(x)*x-x^3+2)-2*x^2)*csgn(I/(x^2-1/2*ln(-exp(x)*x-x^3+2)))*csgn(I*ln(4*x)/(x^2-1/2*ln(-exp(x)*x-x^3+2)))^2+I*Pi*ln(ln(4*x))*csgn(I*ln(4*x))*csgn(I*ln(4*x)/(x^2-1/2*ln(-exp(x)*x-x^3+2)))^2+2*ln(ln(-exp(x)*x-x^3+2)-2*x^2)*ln(2)-2*ln(2)*ln(ln(4*x))","C"
7718,1,12,15,0.027000," ","int(1/25*(ln(x)*ln(ln(x))-4*ln(x)-1)/x^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{4}{25}-\frac{\ln \left(\ln \left(x \right)\right)}{25}}{x}$&$12$\\ risch&$-\frac{\ln \left(\ln \left(x \right)\right)}{25 x}+\frac{4}{25 x}$&$15$\\ \hline \end{longtable}"," ",0,"(4/25-1/25*ln(ln(x)))/x","A"
7719,1,30,17,0.107000," ","int((-800*exp(4/(4*x+1))^2+800*exp(4/(4*x+1)))/((400*x^2+200*x+25)*exp(4/(4*x+1))^2+(-800*x^2-400*x-50)*exp(4/(4*x+1))+464*x^2+232*x+29),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(25 \,{\mathrm e}^{\frac{8}{4 x +1}}-50 \,{\mathrm e}^{\frac{4}{4 x +1}}+29\right)$&$30$\\ default&$\ln \left(25 \,{\mathrm e}^{\frac{8}{4 x +1}}-50 \,{\mathrm e}^{\frac{4}{4 x +1}}+29\right)$&$30$\\ norman&$\ln \left(25 \,{\mathrm e}^{\frac{8}{4 x +1}}-50 \,{\mathrm e}^{\frac{4}{4 x +1}}+29\right)$&$30$\\ risch&$\frac{2}{x +\frac{1}{4}}-\frac{8}{4 x +1}+\ln \left({\mathrm e}^{\frac{8}{4 x +1}}-2 \,{\mathrm e}^{\frac{4}{4 x +1}}+\frac{29}{25}\right)$&$43$\\ \hline \end{longtable}"," ",0,"ln(25*exp(4/(4*x+1))^2-50*exp(4/(4*x+1))+29)","A"
7720,1,17,20,0.021000," ","int(-3*ln(3)^2+6*exp(2)+6*x+6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$3 x \left(-\ln \left(3\right)^{2}+2 \,{\mathrm e}^{2}+x +2\right)$&$17$\\ norman&$\left(-3 \ln \left(3\right)^{2}+6 \,{\mathrm e}^{2}+6\right) x +3 x^{2}$&$21$\\ default&$-3 x \ln \left(3\right)^{2}+6 \,{\mathrm e}^{2} x +3 x^{2}+6 x$&$22$\\ risch&$-3 x \ln \left(3\right)^{2}+6 \,{\mathrm e}^{2} x +3 x^{2}+6 x$&$22$\\ \hline \end{longtable}"," ",0,"3*x*(-ln(3)^2+2*exp(2)+x+2)","A"
7721,1,21,23,0.061000," ","int((-ln(1/3/x/exp(5))-exp(1)+x^2-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}+{\mathrm e}+\ln \left(\frac{{\mathrm e}^{-5}}{3 x}\right)}{x}$&$21$\\ derivativedivides&$x +\frac{{\mathrm e}}{x}+\frac{\ln \left(\frac{{\mathrm e}^{-5}}{3 x}\right)}{x}$&$23$\\ default&$x +\frac{{\mathrm e}}{x}+\frac{\ln \left(\frac{{\mathrm e}^{-5}}{3 x}\right)}{x}$&$23$\\ risch&$\frac{\ln \left(\frac{{\mathrm e}^{-5}}{3 x}\right)}{x}+\frac{{\mathrm e}+x^{2}}{x}$&$24$\\ \hline \end{longtable}"," ",0,"(x^2+exp(1)+ln(1/3/x/exp(5)))/x","A"
7722,1,82,32,0.388000," ","int((((-x^4+4*x^3-2*x^2-8*x)*exp(x-1)+3*x^3-8*x^2+12*x)*exp(exp(2))*ln(5/x)+((x^3-3*x^2-4*x+12)*exp(x-1)-x^4+3*x^3+4*x^2-12*x)*exp(exp(2)))/(x^5-8*x^3+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{{\mathrm e}^{2}} \left(x \,{\mathrm e}^{x -1}+3 x -3 \,{\mathrm e}^{x -1}-4\right) \ln \left(x \right)}{x^{2}-4}-\frac{{\mathrm e}^{{\mathrm e}^{2}} \left(2 x^{2} \ln \left(x \right)+2 \ln \left(5\right) x \,{\mathrm e}^{x -1}+6 x \ln \left(5\right)-6 \ln \left(5\right) {\mathrm e}^{x -1}-8 \ln \left(x \right)-8 \ln \left(5\right)\right)}{2 \left(x^{2}-4\right)}$&$82$\\ \hline \end{longtable}"," ",0,"exp(exp(2))*(x*exp(x-1)+3*x-3*exp(x-1)-4)/(x^2-4)*ln(x)-1/2*exp(exp(2))*(2*x^2*ln(x)+2*ln(5)*x*exp(x-1)+6*x*ln(5)-6*ln(5)*exp(x-1)-8*ln(x)-8*ln(5))/(x^2-4)","B"
7723,1,30,25,0.040000," ","int(((x^4-2*x^3+x^2)*ln(x)+(-x^4+2*x^3-3*x^2+x)*exp(1/(x^2-x))+3*x^4-2*x^3-5*x^2+4*x)/((x^4-2*x^3+x^2)*ln(x)^2+((-2*x^4+4*x^3-2*x^2)*exp(1/(x^2-x))+8*x^4-12*x^3+4*x)*ln(x)+(x^4-2*x^3+x^2)*exp(1/(x^2-x))^2+(-8*x^4+12*x^3-4*x)*exp(1/(x^2-x))+16*x^4-16*x^3-12*x^2+8*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}}{{\mathrm e}^{\frac{1}{x \left(x -1\right)}} x -x \ln \left(x \right)-4 x -2}$&$30$\\ \hline \end{longtable}"," ",0,"-x^2/(exp(1/x/(x-1))*x-x*ln(x)-4*x-2)","A"
7724,1,19,17,0.056000," ","int(1/2*(-2*x^2*exp(exp(1))+4*x^3-x^2+4*x)/exp(x*exp(exp(1))-x^2+1/2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{\frac{x \left(-2 \,{\mathrm e}^{{\mathrm e}}+2 x -1\right)}{2}}$&$19$\\ gosper&$x^{2} {\mathrm e}^{-x \,{\mathrm e}^{{\mathrm e}}+x^{2}-\frac{x}{2}}$&$22$\\ norman&$x^{2} {\mathrm e}^{-x \,{\mathrm e}^{{\mathrm e}}+x^{2}-\frac{x}{2}}$&$22$\\ default&$-\frac{x \,{\mathrm e}^{x^{2}+\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right) x}}{4}+\frac{\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right) \left(\frac{{\mathrm e}^{x^{2}+\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right) x}}{2}+\frac{i \left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right) \sqrt{\pi}\, {\mathrm e}^{-\frac{\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right)^{2}}{4}} \erf \left(i x +\frac{i \left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right)}{2}\right)}{4}\right)}{4}-\frac{i \sqrt{\pi}\, {\mathrm e}^{-\frac{\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right)^{2}}{4}} \erf \left(i x +\frac{i \left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right)}{2}\right)}{8}+x^{2} {\mathrm e}^{x^{2}+\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right) x}-\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right) \left(\frac{x \,{\mathrm e}^{x^{2}+\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right) x}}{2}-\frac{\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right) \left(\frac{{\mathrm e}^{x^{2}+\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right) x}}{2}+\frac{i \left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right) \sqrt{\pi}\, {\mathrm e}^{-\frac{\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right)^{2}}{4}} \erf \left(i x +\frac{i \left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right)}{2}\right)}{4}\right)}{2}+\frac{i \sqrt{\pi}\, {\mathrm e}^{-\frac{\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right)^{2}}{4}} \erf \left(i x +\frac{i \left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right)}{2}\right)}{4}\right)-\frac{x \,{\mathrm e}^{x^{2}+\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right) x +{\mathrm e}}}{2}+\frac{\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right) \left(\frac{{\mathrm e}^{x^{2}+\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right) x +{\mathrm e}}}{2}+\frac{i \left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right) \sqrt{\pi}\, {\mathrm e}^{{\mathrm e}-\frac{\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right)^{2}}{4}} \erf \left(i x +\frac{i \left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right)}{2}\right)}{4}\right)}{2}-\frac{i \sqrt{\pi}\, {\mathrm e}^{{\mathrm e}-\frac{\left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right)^{2}}{4}} \erf \left(i x +\frac{i \left(-{\mathrm e}^{{\mathrm e}}-\frac{1}{2}\right)}{2}\right)}{4}$&$394$\\ \hline \end{longtable}"," ",0,"x^2*exp(1/2*x*(-2*exp(exp(1))+2*x-1))","A"
7725,1,23,29,0.238000," ","int(((x*ln(3)+x^2)*exp(exp(4)-x)+(-3*x+1)*ln(3)-3*x^2)/(x*ln(3)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-3 x -{\mathrm e}^{{\mathrm e}^{4}-x}-\ln \left(\ln \left(3\right)+x \right)+\ln \left(x \right)$&$23$\\ risch&$-3 x -{\mathrm e}^{{\mathrm e}^{4}-x}-\ln \left(\ln \left(3\right)+x \right)+\ln \left(x \right)$&$23$\\ derivativedivides&$\frac{2 \ln \left(3\right) \arctanh \left(\frac{-\ln \left(3\right)-2 x}{\sqrt{\ln \left(3\right)^{2}}}\right)}{\sqrt{\ln \left(3\right)^{2}}}-{\mathrm e}^{{\mathrm e}^{4}-x}+3 \,{\mathrm e}^{4}-3 x$&$466$\\ default&$\frac{2 \ln \left(3\right) \arctanh \left(\frac{-\ln \left(3\right)-2 x}{\sqrt{\ln \left(3\right)^{2}}}\right)}{\sqrt{\ln \left(3\right)^{2}}}-{\mathrm e}^{{\mathrm e}^{4}-x}+3 \,{\mathrm e}^{4}-3 x$&$466$\\ \hline \end{longtable}"," ",0,"-3*x-exp(exp(4)-x)-ln(ln(3)+x)+ln(x)","A"
7726,1,496,40,0.217000," ","int((((x-1)*exp(x)-3*x^4)*ln(1/5*(exp(x)-x^4+80*x)/x)+(5*x-5)*exp(x)-15*x^4)/(2*exp(x)*x-2*x^5+160*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \ln \left(x \right)}{2}+\frac{\ln \left(x \right)^{2}}{4}-\frac{i \ln \left({\mathrm e}^{x}-x^{4}+80 x \right) \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}-x^{4}+80 x \right)}{x}\right)^{2}}{2}+\frac{i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-x^{4}+80 x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}-x^{4}+80 x \right)}{x}\right)^{2}}{4}-\frac{i \ln \left({\mathrm e}^{x}-x^{4}+80 x \right) \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-x^{4}+80 x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}-x^{4}+80 x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)}{4}+\frac{i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-x^{4}+80 x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}-x^{4}+80 x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)}{4}-\frac{i \ln \left({\mathrm e}^{x}-x^{4}+80 x \right) \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-x^{4}+80 x \right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}-x^{4}+80 x \right)}{x}\right)^{2}}{4}+\frac{i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}-x^{4}+80 x \right)}{x}\right)^{3}}{4}+\frac{\ln \left(5\right) \ln \left(x \right)}{2}-\frac{i \ln \left({\mathrm e}^{x}-x^{4}+80 x \right) \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}-x^{4}+80 x \right)}{x}\right)^{3}}{4}-\frac{i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}-x^{4}+80 x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)}{4}+\frac{i \ln \left({\mathrm e}^{x}-x^{4}+80 x \right) \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}-x^{4}+80 x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)}{4}+\frac{i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}-x^{4}+80 x \right)}{x}\right)^{2}}{2}-\frac{\ln \left(x \right) \ln \left(-{\mathrm e}^{x}+x^{4}-80 x \right)}{2}-\frac{\ln \left({\mathrm e}^{x}-x^{4}+80 x \right) \ln \left(5\right)}{2}+\frac{5 \ln \left({\mathrm e}^{x}-x^{4}+80 x \right)}{2}+\frac{\ln \left(-{\mathrm e}^{x}+x^{4}-80 x \right)^{2}}{4}-\frac{i \ln \left(x \right) \pi}{2}+\frac{i \ln \left({\mathrm e}^{x}-x^{4}+80 x \right) \pi}{2}$&$496$\\ \hline \end{longtable}"," ",0,"-5/2*ln(x)+1/4*ln(x)^2-1/2*I*ln(exp(x)-x^4+80*x)*Pi*csgn(I*(exp(x)-x^4+80*x)/x)^2+1/4*I*ln(x)*Pi*csgn(I*(exp(x)-x^4+80*x))*csgn(I*(exp(x)-x^4+80*x)/x)^2-1/4*I*ln(exp(x)-x^4+80*x)*Pi*csgn(I*(exp(x)-x^4+80*x))*csgn(I*(exp(x)-x^4+80*x)/x)*csgn(I/x)+1/4*I*ln(x)*Pi*csgn(I*(exp(x)-x^4+80*x))*csgn(I*(exp(x)-x^4+80*x)/x)*csgn(I/x)-1/4*I*ln(exp(x)-x^4+80*x)*Pi*csgn(I*(exp(x)-x^4+80*x))*csgn(I*(exp(x)-x^4+80*x)/x)^2+1/4*I*ln(x)*Pi*csgn(I*(exp(x)-x^4+80*x)/x)^3+1/2*ln(5)*ln(x)-1/4*I*ln(exp(x)-x^4+80*x)*Pi*csgn(I*(exp(x)-x^4+80*x)/x)^3-1/4*I*ln(x)*Pi*csgn(I*(exp(x)-x^4+80*x)/x)^2*csgn(I/x)+1/4*I*ln(exp(x)-x^4+80*x)*Pi*csgn(I*(exp(x)-x^4+80*x)/x)^2*csgn(I/x)+1/2*I*ln(x)*Pi*csgn(I*(exp(x)-x^4+80*x)/x)^2-1/2*ln(x)*ln(-exp(x)+x^4-80*x)-1/2*ln(exp(x)-x^4+80*x)*ln(5)+5/2*ln(exp(x)-x^4+80*x)+1/4*ln(-exp(x)+x^4-80*x)^2-1/2*I*ln(x)*Pi+1/2*I*ln(exp(x)-x^4+80*x)*Pi","C"
7727,1,39,23,0.246000," ","int(((-20*x^3+1)*exp(x-1)^3+(-60*x^4-70*x^3+30*x^2+3*x+3)*exp(x-1)^2+(-60*x^5-130*x^4-20*x^3+73*x^2-4*x+3)*exp(x-1)-20*x^6-60*x^5-40*x^4+31*x^3+33*x^2-7*x+1)/(exp(x-1)^3+(3*x+3)*exp(x-1)^2+(3*x^2+6*x+3)*exp(x-1)+x^3+3*x^2+3*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x^{4}+x +\frac{5 x^{2} \left(2 x^{2}+2 x \,{\mathrm e}^{x -1}+2 x -1\right)}{\left(1+x +{\mathrm e}^{x -1}\right)^{2}}$&$39$\\ norman&$\frac{x \,{\mathrm e}^{2 x -2}-4 x^{2}-2 \,{\mathrm e}^{x -1}-x -{\mathrm e}^{2 x -2}+11 x^{3}+5 x^{4}-10 x^{5}-5 x^{6}+2 x^{2} {\mathrm e}^{x -1}+10 x^{3} {\mathrm e}^{x -1}-10 x^{4} {\mathrm e}^{x -1}-10 \,{\mathrm e}^{x -1} x^{5}-5 \,{\mathrm e}^{2 x -2} x^{4}-1}{\left(1+x +{\mathrm e}^{x -1}\right)^{2}}$&$110$\\ \hline \end{longtable}"," ",0,"-5*x^4+x+5*x^2*(2*x^2+2*x*exp(x-1)+2*x-1)/(1+x+exp(x-1))^2","A"
7728,1,91,41,0.112000," ","int((((128*x^2+256*x)*ln(2+x)+(128*x^2+256*x)*exp(exp(3))+64)*ln(ln(2+x)+exp(exp(3)))^3+((384*x^4+768*x^3)*ln(2+x)+(384*x^4+768*x^3)*exp(exp(3))+192*x^2)*ln(ln(2+x)+exp(exp(3)))^2+(((-32*x^2-64*x)*ln(5)+384*x^6+768*x^5)*ln(2+x)+((-32*x^2-64*x)*ln(5)+384*x^6+768*x^5)*exp(exp(3))-16*ln(5)+192*x^4)*ln(ln(2+x)+exp(exp(3)))+((-32*x^4-64*x^3)*ln(5)+128*x^8+256*x^7+2*x+4)*ln(2+x)+((-32*x^4-64*x^3)*ln(5)+128*x^8+256*x^7+2*x+4)*exp(exp(3))-16*x^2*ln(5)+64*x^6)/((2+x)*ln(2+x)+(2+x)*exp(exp(3))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 \ln \left(\ln \left(2+x \right)+{\mathrm e}^{{\mathrm e}^{3}}\right)^{4}+64 x^{2} \ln \left(\ln \left(2+x \right)+{\mathrm e}^{{\mathrm e}^{3}}\right)^{3}+\left(96 x^{4}-8 \ln \left(5\right)\right) \ln \left(\ln \left(2+x \right)+{\mathrm e}^{{\mathrm e}^{3}}\right)^{2}+\left(64 x^{6}-16 x^{2} \ln \left(5\right)\right) \ln \left(\ln \left(2+x \right)+{\mathrm e}^{{\mathrm e}^{3}}\right)+16 x^{8}-8 x^{4} \ln \left(5\right)+2 x$&$91$\\ \hline \end{longtable}"," ",0,"16*ln(ln(2+x)+exp(exp(3)))^4+64*x^2*ln(ln(2+x)+exp(exp(3)))^3+(96*x^4-8*ln(5))*ln(ln(2+x)+exp(exp(3)))^2+(64*x^6-16*x^2*ln(5))*ln(ln(2+x)+exp(exp(3)))+16*x^8-8*x^4*ln(5)+2*x","B"
7729,1,20,19,0.392000," ","int((10*ln(1/4/x)-10)*exp(5*x*ln(1/4/x)/ln(-4*ln(5))^2)^2/ln(-4*ln(5))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{\frac{10 x \ln \left(\frac{1}{4 x}\right)}{\ln \left(-4 \ln \left(5\right)\right)^{2}}}$&$20$\\ norman&$-\frac{\left(-4 i \ln \left(2\right) \pi -2 i \ln \left(\ln \left(5\right)\right) \pi +\pi^{2}-4 \ln \left(2\right)^{2}-4 \ln \left(2\right) \ln \left(\ln \left(5\right)\right)-\ln \left(\ln \left(5\right)\right)^{2}\right) {\mathrm e}^{\frac{10 x \ln \left(\frac{1}{4 x}\right)}{\ln \left(-4 \ln \left(5\right)\right)^{2}}}}{\left(2 \ln \left(2\right)+\ln \left(\ln \left(5\right)\right)+i \pi \right) \ln \left(-4 \ln \left(5\right)\right)}$&$80$\\ risch&$\frac{4 \left(\frac{1}{4 x}\right)^{\frac{10 x}{\left(i \pi +2 \ln \left(2 \sqrt{\ln \left(5\right)}\right)\right)^{2}}} \ln \left(2\right)^{2}}{\left(2 \ln \left(2\right)+\ln \left(\ln \left(5\right)\right)+i \pi \right)^{2}}+\frac{4 \left(\frac{1}{4 x}\right)^{\frac{10 x}{\left(i \pi +2 \ln \left(2 \sqrt{\ln \left(5\right)}\right)\right)^{2}}} \ln \left(2\right) \ln \left(\ln \left(5\right)\right)}{\left(2 \ln \left(2\right)+\ln \left(\ln \left(5\right)\right)+i \pi \right)^{2}}+\frac{\left(\frac{1}{4 x}\right)^{\frac{10 x}{\left(i \pi +2 \ln \left(2 \sqrt{\ln \left(5\right)}\right)\right)^{2}}} \ln \left(\ln \left(5\right)\right)^{2}}{\left(2 \ln \left(2\right)+\ln \left(\ln \left(5\right)\right)+i \pi \right)^{2}}+\frac{4 i \left(\frac{1}{4 x}\right)^{\frac{10 x}{\left(i \pi +2 \ln \left(2 \sqrt{\ln \left(5\right)}\right)\right)^{2}}} \ln \left(2\right) \pi}{\left(2 \ln \left(2\right)+\ln \left(\ln \left(5\right)\right)+i \pi \right)^{2}}+\frac{2 i \left(\frac{1}{4 x}\right)^{\frac{10 x}{\left(i \pi +2 \ln \left(2 \sqrt{\ln \left(5\right)}\right)\right)^{2}}} \ln \left(\ln \left(5\right)\right) \pi}{\left(2 \ln \left(2\right)+\ln \left(\ln \left(5\right)\right)+i \pi \right)^{2}}-\frac{\left(\frac{1}{4 x}\right)^{\frac{10 x}{\left(i \pi +2 \ln \left(2 \sqrt{\ln \left(5\right)}\right)\right)^{2}}} \pi^{2}}{\left(2 \ln \left(2\right)+\ln \left(\ln \left(5\right)\right)+i \pi \right)^{2}}$&$273$\\ \hline \end{longtable}"," ",0,"exp(5*x*ln(1/4/x)/ln(-4*ln(5))^2)^2","A"
7730,1,20,17,0.034000," ","int((20*exp(4/x)-4*x^5-30*x^4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-x^{4}-10 x^{3}-5 \,{\mathrm e}^{\frac{4}{x}}$&$20$\\ default&$-x^{4}-10 x^{3}-5 \,{\mathrm e}^{\frac{4}{x}}$&$20$\\ risch&$-x^{4}-10 x^{3}-5 \,{\mathrm e}^{\frac{4}{x}}$&$20$\\ norman&$\frac{-10 x^{4}-x^{5}-5 x \,{\mathrm e}^{\frac{4}{x}}}{x}$&$25$\\ \hline \end{longtable}"," ",0,"-x^4-10*x^3-5*exp(4/x)","A"
7731,1,15,14,0.202000," ","int((-5*x^3+20*x^2+10*x+40)/(x^5+12*x^4+48*x^3+64*x^2)/exp(1/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 x \,{\mathrm e}^{-\frac{1}{x^{2}}}}{\left(4+x \right)^{2}}$&$15$\\ risch&$\frac{5 x \,{\mathrm e}^{-\frac{1}{x^{2}}}}{\left(4+x \right)^{2}}$&$15$\\ gosper&$\frac{5 x \,{\mathrm e}^{-\frac{1}{x^{2}}}}{x^{2}+8 x +16}$&$20$\\ \hline \end{longtable}"," ",0,"5*x/exp(1/x^2)/(4+x)^2","A"
7732,1,8,7,0.026000," ","int(1/15*(2*x-2)*exp(1/15*x^2-2/15*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(x -2\right) x}{15}}$&$8$\\ gosper&${\mathrm e}^{\frac{1}{15} x^{2}-\frac{2}{15} x}$&$11$\\ default&${\mathrm e}^{\frac{1}{15} x^{2}-\frac{2}{15} x}$&$11$\\ norman&${\mathrm e}^{\frac{1}{15} x^{2}-\frac{2}{15} x}$&$11$\\ \hline \end{longtable}"," ",0,"exp(1/15*(x-2)*x)","A"
7733,1,8,13,0.021000," ","int(2*x^7*exp(3)^4/exp(2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{8} {\mathrm e}^{4}}{4}$&$8$\\ gosper&$\frac{x^{8} {\mathrm e}^{-8} {\mathrm e}^{12}}{4}$&$14$\\ default&$\frac{x^{8} {\mathrm e}^{-8} {\mathrm e}^{12}}{4}$&$14$\\ norman&$\frac{x^{8} {\mathrm e}^{-8} {\mathrm e}^{12}}{4}$&$14$\\ \hline \end{longtable}"," ",0,"1/4*x^8*exp(4)","A"
7734,1,16,17,0.236000," ","int((-4836*ln(2)^2+1208*x+6045)/(4*x*ln(2)^2-x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-1209 \ln \left(x \right)+\ln \left(-4 \ln \left(2\right)^{2}+5+x \right)$&$16$\\ risch&$-1209 \ln \left(x \right)+\ln \left(-4 \ln \left(2\right)^{2}+5+x \right)$&$16$\\ norman&$\ln \left(4 \ln \left(2\right)^{2}-5-x \right)-1209 \ln \left(x \right)$&$18$\\ meijerg&$\frac{4836 \ln \left(2\right)^{2} \left(-4 \ln \left(2\right)^{2}+5\right) \left(\ln \left(x \right)+\ln \left(-\frac{1}{4 \ln \left(2\right)^{2}-5}\right)-\ln \left(1-\frac{x}{4 \ln \left(2\right)^{2}-5}\right)\right)}{\left(4 \ln \left(2\right)^{2}-5\right)^{2}}+\frac{1208 \left(-4 \ln \left(2\right)^{2}+5\right) \ln \left(1-\frac{x}{4 \ln \left(2\right)^{2}-5}\right)}{4 \ln \left(2\right)^{2}-5}-\frac{6045 \left(-4 \ln \left(2\right)^{2}+5\right) \left(\ln \left(x \right)+\ln \left(-\frac{1}{4 \ln \left(2\right)^{2}-5}\right)-\ln \left(1-\frac{x}{4 \ln \left(2\right)^{2}-5}\right)\right)}{\left(4 \ln \left(2\right)^{2}-5\right)^{2}}$&$150$\\ \hline \end{longtable}"," ",0,"-1209*ln(x)+ln(-4*ln(2)^2+5+x)","A"
7735,1,21,20,0.020000," ","int((2*x^3-119*x^2-525*x-375)/((25*x^2+75*x)*ln(3+x)+(125*x^2+375*x)*ln(x)-x^4+122*x^3+375*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\ln \left(3+x \right)+5 x +5 \ln \left(x \right)-\frac{x^{2}}{25}\right)$&$21$\\ \hline \end{longtable}"," ",0,"-ln(ln(3+x)+5*x+5*ln(x)-1/25*x^2)","A"
7736,1,16,18,0.506000," ","int((-8*x^2+11*x-120)/(8*x^2+5*x+125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\ln \left(8 x^{2}+5 x +125\right)$&$16$\\ norman&$-x +\ln \left(8 x^{2}+5 x +125\right)$&$16$\\ risch&$-x +\ln \left(8 x^{2}+5 x +125\right)$&$16$\\ \hline \end{longtable}"," ",0,"-x+ln(8*x^2+5*x+125)","A"
7737,1,62,24,0.284000," ","int((2*ln(1-exp(2))^2+4*ln(1-exp(2))+2)*exp(x*ln(1-exp(2))^2+2*x*ln(1-exp(2))+x)*exp(exp(x*ln(1-exp(2))^2+2*x*ln(1-exp(2))+x)+2)^2/(exp(exp(x*ln(1-exp(2))^2+2*x*ln(1-exp(2))+x)+2)^2-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left({\mathrm e}^{{\mathrm e}^{x \ln \left(1-{\mathrm e}^{2}\right)^{2}+2 x \ln \left(1-{\mathrm e}^{2}\right)+x}+2}-1\right)+\ln \left({\mathrm e}^{{\mathrm e}^{x \ln \left(1-{\mathrm e}^{2}\right)^{2}+2 x \ln \left(1-{\mathrm e}^{2}\right)+x}+2}+1\right)$&$62$\\ norman&$\ln \left({\mathrm e}^{{\mathrm e}^{x \ln \left(1-{\mathrm e}^{2}\right)^{2}+2 x \ln \left(1-{\mathrm e}^{2}\right)+x}+2}-1\right)+\ln \left({\mathrm e}^{{\mathrm e}^{x \ln \left(1-{\mathrm e}^{2}\right)^{2}+2 x \ln \left(1-{\mathrm e}^{2}\right)+x}+2}+1\right)$&$62$\\ default&$\frac{\left(2 \ln \left(1-{\mathrm e}^{2}\right)^{2}+4 \ln \left(1-{\mathrm e}^{2}\right)+2\right) \left(\frac{\ln \left({\mathrm e}^{{\mathrm e}^{x \ln \left(1-{\mathrm e}^{2}\right)^{2}+2 x \ln \left(1-{\mathrm e}^{2}\right)+x}+2}-1\right)}{2}+\frac{\ln \left({\mathrm e}^{{\mathrm e}^{x \ln \left(1-{\mathrm e}^{2}\right)^{2}+2 x \ln \left(1-{\mathrm e}^{2}\right)+x}+2}+1\right)}{2}\right)}{\ln \left(1-{\mathrm e}^{2}\right)^{2}+2 \ln \left(1-{\mathrm e}^{2}\right)+1}$&$111$\\ risch&$\frac{\left(2 \ln \left(1-{\mathrm e}^{2}\right)^{2}+4 \ln \left(1-{\mathrm e}^{2}\right)+2\right) \left(1-{\mathrm e}^{2}\right)^{2 x} {\mathrm e}^{x \left(\ln \left(1-{\mathrm e}^{2}\right)^{2}+1\right)}}{\ln \left(1-{\mathrm e}^{2}\right)^{2}+2 \ln \left(1-{\mathrm e}^{2}\right)+1}-\frac{2 \ln \left(1-{\mathrm e}^{2}\right)^{2} \left(1-{\mathrm e}^{2}\right)^{2 x} {\mathrm e}^{x \left(\ln \left(1-{\mathrm e}^{2}\right)^{2}+1\right)}}{\ln \left(1-{\mathrm e}^{2}\right)^{2}+2 \ln \left(1-{\mathrm e}^{2}\right)+1}-\frac{4 \ln \left(1-{\mathrm e}^{2}\right) \left(1-{\mathrm e}^{2}\right)^{2 x} {\mathrm e}^{x \left(\ln \left(1-{\mathrm e}^{2}\right)^{2}+1\right)}}{\ln \left(1-{\mathrm e}^{2}\right)^{2}+2 \ln \left(1-{\mathrm e}^{2}\right)+1}-\frac{4 \ln \left(1-{\mathrm e}^{2}\right)^{2}}{\ln \left(1-{\mathrm e}^{2}\right)^{2}+2 \ln \left(1-{\mathrm e}^{2}\right)+1}-\frac{2 \left(1-{\mathrm e}^{2}\right)^{2 x} {\mathrm e}^{x \left(\ln \left(1-{\mathrm e}^{2}\right)^{2}+1\right)}}{\ln \left(1-{\mathrm e}^{2}\right)^{2}+2 \ln \left(1-{\mathrm e}^{2}\right)+1}-\frac{8 \ln \left(1-{\mathrm e}^{2}\right)}{\ln \left(1-{\mathrm e}^{2}\right)^{2}+2 \ln \left(1-{\mathrm e}^{2}\right)+1}-\frac{4}{\ln \left(1-{\mathrm e}^{2}\right)^{2}+2 \ln \left(1-{\mathrm e}^{2}\right)+1}+\frac{\ln \left({\mathrm e}^{2 \left(1-{\mathrm e}^{2}\right)^{2 x} {\mathrm e}^{x \left(\ln \left(1-{\mathrm e}^{2}\right)^{2}+1\right)}+4}-1\right) \ln \left(1-{\mathrm e}^{2}\right)^{2}}{\ln \left(1-{\mathrm e}^{2}\right)^{2}+2 \ln \left(1-{\mathrm e}^{2}\right)+1}+\frac{2 \ln \left({\mathrm e}^{2 \left(1-{\mathrm e}^{2}\right)^{2 x} {\mathrm e}^{x \left(\ln \left(1-{\mathrm e}^{2}\right)^{2}+1\right)}+4}-1\right) \ln \left(1-{\mathrm e}^{2}\right)}{\ln \left(1-{\mathrm e}^{2}\right)^{2}+2 \ln \left(1-{\mathrm e}^{2}\right)+1}+\frac{\ln \left({\mathrm e}^{2 \left(1-{\mathrm e}^{2}\right)^{2 x} {\mathrm e}^{x \left(\ln \left(1-{\mathrm e}^{2}\right)^{2}+1\right)}+4}-1\right)}{\ln \left(1-{\mathrm e}^{2}\right)^{2}+2 \ln \left(1-{\mathrm e}^{2}\right)+1}$&$501$\\ \hline \end{longtable}"," ",0,"ln(exp(exp(x*ln(1-exp(2))^2+2*x*ln(1-exp(2))+x)+2)-1)+ln(exp(exp(x*ln(1-exp(2))^2+2*x*ln(1-exp(2))+x)+2)+1)","B"
7738,1,85,20,0.203000," ","int(((-416*x^4+1152*x^2-224*x-640)*ln(x)^8+(128*x^4-512*x^2+128*x+512)*ln(x)^7)/(625*x^31-12500*x^29+3125*x^28+112500*x^27-50000*x^26-593750*x^25+350000*x^24+2025000*x^23-1393750*x^22-4665000*x^21+3450000*x^20+7403125*x^19-5450000*x^18-8112500*x^17+5400625*x^16+6012500*x^15-3100000*x^14-2800000*x^13+800000*x^12+640000*x^11),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 \ln \left(x \right)^{8}}{625 x^{10} \left(x^{16}-16 x^{14}+4 x^{13}+112 x^{12}-48 x^{11}-442 x^{10}+240 x^{9}+1072 x^{8}-636 x^{7}-1648 x^{6}+944 x^{5}+1601 x^{4}-752 x^{3}-928 x^{2}+256 x +256\right)}$&$85$\\ \hline \end{longtable}"," ",0,"16/625/x^10/(x^16-16*x^14+4*x^13+112*x^12-48*x^11-442*x^10+240*x^9+1072*x^8-636*x^7-1648*x^6+944*x^5+1601*x^4-752*x^3-928*x^2+256*x+256)*ln(x)^8","B"
7739,1,20,22,0.023000," ","int(((-3*x^2+2*x+6)*ln(5)-1)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{3}+x^{2}+6 x -\frac{x}{\ln \left(5\right)}$&$20$\\ norman&$x^{2}+\frac{\left(6 \ln \left(5\right)-1\right) x}{\ln \left(5\right)}-x^{3}$&$22$\\ gosper&$-\frac{x \left(x^{2} \ln \left(5\right)-x \ln \left(5\right)-6 \ln \left(5\right)+1\right)}{\ln \left(5\right)}$&$25$\\ default&$\frac{\ln \left(5\right) \left(-x^{3}+x^{2}+6 x \right)-x}{\ln \left(5\right)}$&$25$\\ \hline \end{longtable}"," ",0,"-x^3+x^2+6*x-x/ln(5)","A"
7740,1,32,28,0.169000," ","int((-x^3*exp(2)^2*exp(3)^2*ln(x)^4+((2*x^2*exp(2)^2-8*x^3*exp(2))*exp(3)^2+2*x^2*exp(2)^2*exp(3))*ln(x)^3+((4*x*exp(2)^2+8*x^2*exp(2)-16*x^3)*exp(3)^2+(-2*x*exp(2)^2+8*x^2*exp(2))*exp(3)-x*exp(2)^2)*ln(x)^2+(10*x*exp(2)^2+20*exp(2)*x)*exp(3)^2*ln(x)+(-5*exp(2)^2+20*exp(2)*x)*exp(3)^2-5*exp(2)^2*exp(3))/(x^3*exp(2)^2*exp(3)^2*ln(x)^4+((-2*x^2*exp(2)^2+8*x^3*exp(2))*exp(3)^2-2*x^2*exp(2)^2*exp(3))*ln(x)^3+((x*exp(2)^2-8*x^2*exp(2)+16*x^3)*exp(3)^2+(2*x*exp(2)^2-8*x^2*exp(2))*exp(3)+x*exp(2)^2)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{5 \,{\mathrm e}^{3}}{\left(x \,{\mathrm e}^{3} \ln \left(x \right)-{\mathrm e}^{3}+4 x \,{\mathrm e}-1\right) \ln \left(x \right)}$&$32$\\ norman&$\frac{\frac{{\mathrm e}^{4} {\mathrm e}^{-3} \left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right) \ln \left(x \right)}{4}+\left(-\frac{{\mathrm e}^{3} {\mathrm e}^{4}}{4}-\frac{{\mathrm e}^{4}}{4}\right) x \ln \left(x \right)^{2}-5 \,{\mathrm e}^{2} {\mathrm e}^{3}-4 x^{2} {\mathrm e}^{3} \ln \left(x \right)-{\mathrm e}^{2} \ln \left(x \right)^{2} {\mathrm e}^{3} x^{2}}{\ln \left(x \right) \left({\mathrm e}^{3} {\mathrm e}^{2} x \ln \left(x \right)-{\mathrm e}^{2} {\mathrm e}^{3}+4 x \,{\mathrm e}^{3}-{\mathrm e}^{2}\right)}$&$104$\\ \hline \end{longtable}"," ",0,"-x-5*exp(3)/(x*exp(3)*ln(x)-exp(3)+4*x*exp(1)-1)/ln(x)","A"
7741,1,27,19,0.071000," ","int(1/5*(-5*x*ln(x)-5*x*exp(exp(3))+50*x^2-10*x-3)*exp(1/5*(-5*x-3)*ln(x)+1/5*(-5*x-3)*exp(exp(3))+5*x^2-x-12/5)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{-\frac{3}{5}-x} {\mathrm e}^{\frac{\left(5 x +3\right) \left(5 x -{\mathrm e}^{{\mathrm e}^{3}}-4\right)}{5}}$&$27$\\ norman&${\mathrm e}^{\frac{\left(-5 x -3\right) \ln \left(x \right)}{5}+\frac{\left(-5 x -3\right) {\mathrm e}^{{\mathrm e}^{3}}}{5}+5 x^{2}-x -\frac{12}{5}}$&$31$\\ \hline \end{longtable}"," ",0,"x^(-3/5-x)*exp(1/5*(5*x+3)*(5*x-exp(exp(3))-4))","A"
7742,1,19,29,0.019000," ","int((3*x^2*ln(x)^2+(-x^2-1)*ln(x)+2)*exp((-x^3*ln(x)+x)/ln(x)^2)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-\frac{x \left(x^{2} \ln \left(x \right)-1\right)}{\ln \left(x \right)^{2}}}$&$19$\\ \hline \end{longtable}"," ",0,"-exp(-x*(x^2*ln(x)-1)/ln(x)^2)","A"
7743,1,25,14,0.016000," ","int(1/3*(-200*ln(x)^2+(200*x-2200)*ln(x)+1000*x-6000)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1200-400 x +\frac{100 \ln \left(x \right)^{2}}{3}-\frac{200 x \ln \left(x \right)}{3}+400 \ln \left(x \right)}{x^{2}}$&$25$\\ risch&$\frac{100 \ln \left(x \right)^{2}}{3 x^{2}}-\frac{200 \left(x -6\right) \ln \left(x \right)}{3 x^{2}}-\frac{400 \left(x -3\right)}{x^{2}}$&$29$\\ default&$\frac{100 \ln \left(x \right)^{2}}{3 x^{2}}+\frac{400 \ln \left(x \right)}{x^{2}}+\frac{1200}{x^{2}}-\frac{200 \ln \left(x \right)}{3 x}-\frac{400}{x}$&$35$\\ \hline \end{longtable}"," ",0,"(1200-400*x+100/3*ln(x)^2-200/3*x*ln(x)+400*ln(x))/x^2","A"
7744,1,234,21,0.470000," ","int((ln(2*exp(2*x)*x^2)-exp(x)+2*x+3)*exp(x*ln(2*exp(2*x)*x^2)+1-exp(x)+x)*exp(exp(x*ln(2*exp(2*x)*x^2)+1-exp(x)+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2^{x} x^{2 x} \left({\mathrm e}^{x}\right)^{2 x} {\mathrm e}^{1-\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}-\frac{i x \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+i x \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-\frac{i x \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)}{2}+i x \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-\frac{i x \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}}{2}+\frac{i x \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)^{2}}{2}-\frac{i x \pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)^{3}}{2}+\frac{i x \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)^{2}}{2}-{\mathrm e}^{x}+x}}$&$234$\\ \hline \end{longtable}"," ",0,"exp(2^x*x^(2*x)*exp(x)^(2*x)*exp(1-1/2*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)-1/2*I*x*Pi*csgn(I*exp(2*x))*csgn(I*exp(x))^2-1/2*I*Pi*x*csgn(I*x^2)^3+I*x*Pi*csgn(I*x^2)^2*csgn(I*x)-1/2*I*x*Pi*csgn(I*exp(2*x))*csgn(I*x^2)*csgn(I*x^2*exp(2*x))+I*x*Pi*csgn(I*exp(2*x))^2*csgn(I*exp(x))-1/2*I*x*Pi*csgn(I*exp(2*x))^3+1/2*I*x*Pi*csgn(I*x^2)*csgn(I*x^2*exp(2*x))^2-1/2*I*x*Pi*csgn(I*x^2*exp(2*x))^3+1/2*I*x*Pi*csgn(I*exp(2*x))*csgn(I*x^2*exp(2*x))^2-exp(x)+x))","C"
7745,0,0,26,0.130000," ","int(((5*x*exp(1-ln(x))-25*x)*(2*x+2)^5*ln(-exp(1-ln(x))+5)*ln(ln(-exp(1-ln(x))+5))+(-x-1)*exp(1-ln(x))*(2*x+2)^5+(x+1)*exp(16)*exp(1-ln(x)))/((x^2+x)*exp(1-ln(x))-5*x^2-5*x)/ln(-exp(1-ln(x))+5),x)","\[\int \frac{\left(5 x \,{\mathrm e}^{1-\ln \left(x \right)}-25 x \right) \left(2 x +2\right)^{5} \ln \left(-{\mathrm e}^{1-\ln \left(x \right)}+5\right) \ln \left(\ln \left(-{\mathrm e}^{1-\ln \left(x \right)}+5\right)\right)+\left(-x -1\right) {\mathrm e}^{1-\ln \left(x \right)} \left(2 x +2\right)^{5}+\left(x +1\right) {\mathrm e}^{16} {\mathrm e}^{1-\ln \left(x \right)}}{\left(\left(x^{2}+x \right) {\mathrm e}^{1-\ln \left(x \right)}-5 x^{2}-5 x \right) \ln \left(-{\mathrm e}^{1-\ln \left(x \right)}+5\right)}\, dx\]"," ",0,"int(((5*x*exp(1-ln(x))-25*x)*(2*x+2)^5*ln(-exp(1-ln(x))+5)*ln(ln(-exp(1-ln(x))+5))+(-x-1)*exp(1-ln(x))*(2*x+2)^5+(x+1)*exp(16)*exp(1-ln(x)))/((x^2+x)*exp(1-ln(x))-5*x^2-5*x)/ln(-exp(1-ln(x))+5),x)","F"
7746,1,21,20,0.040000," ","int(((26*exp(x^2)+26*exp(1/2*x)-78)*ln(exp(x^2)+exp(1/2*x)-3)-52*exp(x^2)*x-13*exp(1/2*x))/((12*exp(x^2)+12*exp(1/2*x)-36)*ln(exp(x^2)+exp(1/2*x)-3)*ln(ln(exp(x^2)+exp(1/2*x)-3))^2+(-24*exp(x^2)*x-24*x*exp(1/2*x)+72*x)*ln(exp(x^2)+exp(1/2*x)-3)*ln(ln(exp(x^2)+exp(1/2*x)-3))+(12*x^2*exp(x^2)+12*x^2*exp(1/2*x)-36*x^2)*ln(exp(x^2)+exp(1/2*x)-3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{13}{6 \left(x -\ln \left(\ln \left({\mathrm e}^{x^{2}}+{\mathrm e}^{\frac{x}{2}}-3\right)\right)\right)}$&$21$\\ \hline \end{longtable}"," ",0,"-13/6/(x-ln(ln(exp(x^2)+exp(1/2*x)-3)))","A"
7747,1,72,21,0.071000," ","int(1/2401*(4*x^8-88*x^7+136*x^6+7080*x^5-17616*x^4-257736*x^3+198520*x^2+4302200*x+7031500)*exp(x)^4+1/2401*(588*x^4-5880*x^3-30576*x^2+226968*x+843780)*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{8}-24 x^{7}+76 x^{6}+1656 x^{5}-6474 x^{4}-57960 x^{3}+93100 x^{2}+1029000 x +1500625\right) {\mathrm e}^{4 x}}{2401}+\frac{\left(294 x^{4}-3528 x^{3}-9996 x^{2}+123480 x +360150\right) {\mathrm e}^{2 x}}{2401}$&$72$\\ default&$\frac{6 \,{\mathrm e}^{2 x} x^{4}}{49}-\frac{72 \,{\mathrm e}^{2 x} x^{3}}{49}-\frac{204 \,{\mathrm e}^{2 x} x^{2}}{49}+\frac{360 x \,{\mathrm e}^{2 x}}{7}+150 \,{\mathrm e}^{2 x}+\frac{x^{8} {\mathrm e}^{4 x}}{2401}-\frac{24 \,{\mathrm e}^{4 x} x^{7}}{2401}+\frac{76 x^{6} {\mathrm e}^{4 x}}{2401}+\frac{1656 x^{5} {\mathrm e}^{4 x}}{2401}-\frac{6474 x^{4} {\mathrm e}^{4 x}}{2401}-\frac{8280 x^{3} {\mathrm e}^{4 x}}{343}+\frac{1900 x^{2} {\mathrm e}^{4 x}}{49}+\frac{3000 x \,{\mathrm e}^{4 x}}{7}+625 \,{\mathrm e}^{4 x}$&$118$\\ meijerg&$-775+\frac{5125 \,{\mathrm e}^{4 x}}{7}+\frac{\left(589824 x^{8}-1179648 x^{7}+2064384 x^{6}-3096576 x^{5}+3870720 x^{4}-3870720 x^{3}+2903040 x^{2}-1451520 x +362880\right) {\mathrm e}^{4 x}}{1416167424}+\frac{11 \left(-131072 x^{7}+229376 x^{6}-344064 x^{5}+430080 x^{4}-430080 x^{3}+322560 x^{2}-161280 x +40320\right) {\mathrm e}^{4 x}}{157351936}+\frac{17 \left(28672 x^{6}-43008 x^{5}+53760 x^{4}-53760 x^{3}+40320 x^{2}-20160 x +5040\right) {\mathrm e}^{4 x}}{34420736}-\frac{295 \left(-6144 x^{5}+7680 x^{4}-7680 x^{3}+5760 x^{2}-2880 x +720\right) {\mathrm e}^{4 x}}{2458624}-\frac{1101 \left(1280 x^{4}-1280 x^{3}+960 x^{2}-480 x +120\right) {\mathrm e}^{4 x}}{768320}+\frac{32217 \left(-256 x^{3}+192 x^{2}-96 x +24\right) {\mathrm e}^{4 x}}{307328}+\frac{3545 \left(48 x^{2}-24 x +6\right) {\mathrm e}^{4 x}}{8232}-\frac{10975 \left(-8 x +2\right) {\mathrm e}^{4 x}}{196}+\frac{1230 \,{\mathrm e}^{2 x}}{7}+\frac{3 \left(80 x^{4}-160 x^{3}+240 x^{2}-240 x +120\right) {\mathrm e}^{2 x}}{1960}+\frac{15 \left(-32 x^{3}+48 x^{2}-48 x +24\right) {\mathrm e}^{2 x}}{392}-\frac{26 \left(12 x^{2}-12 x +6\right) {\mathrm e}^{2 x}}{49}-\frac{579 \left(-4 x +2\right) {\mathrm e}^{2 x}}{49}$&$317$\\ \hline \end{longtable}"," ",0,"1/2401*(x^8-24*x^7+76*x^6+1656*x^5-6474*x^4-57960*x^3+93100*x^2+1029000*x+1500625)*exp(4*x)+1/2401*(294*x^4-3528*x^3-9996*x^2+123480*x+360150)*exp(2*x)","B"
7748,1,43,31,0.131000," ","int(((6*x^2-32*x+32)*ln(-x+4)+2*(-x^4+4*x^3)*exp(2)*ln(2)-4*x^3-78*x^2+500*x-512)/(x^6-8*x^5+20*x^4-16*x^3)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x^{2} \ln \left(2\right)+32 \,{\mathrm e}^{-2}+2 x \,{\mathrm e}^{-2}-2 \,{\mathrm e}^{-2} \ln \left(-x +4\right)}{\left(x -2\right) x^{2}}$&$43$\\ risch&$-\frac{2 \,{\mathrm e}^{-2} \ln \left(-x +4\right)}{x^{2} \left(x -2\right)}+\frac{2 \,{\mathrm e}^{-2} \left(x^{2} {\mathrm e}^{2} \ln \left(2\right)+x +16\right)}{\left(x -2\right) x^{2}}$&$43$\\ default&${\mathrm e}^{-2} \left(-\frac{2 \,{\mathrm e}^{2} \ln \left(2\right)}{2-x}-\frac{9}{x}-\frac{\ln \left(-x +4\right) \left(-x +4\right) \left(-x -4\right)}{16 x^{2}}+\frac{\ln \left(-x +4\right) \left(-x +4\right)}{8 x}+\frac{\left(-x +4\right) \ln \left(-x +4\right)}{-4 x +8}-\frac{9}{2-x}-\frac{\ln \left(-x +4\right)}{16}-\frac{16}{x^{2}}\right)$&$104$\\ derivativedivides&$-{\mathrm e}^{-2} \left(\frac{2 \,{\mathrm e}^{2} \ln \left(2\right)}{2-x}+\frac{9}{x}+\frac{\ln \left(-x +4\right) \left(-x +4\right) \left(-x -4\right)}{16 x^{2}}-\frac{\ln \left(-x +4\right) \left(-x +4\right)}{8 x}-\frac{\ln \left(-x +4\right) \left(-x +4\right)}{4 \left(2-x \right)}+\frac{9}{2-x}+\frac{\ln \left(-x +4\right)}{16}+\frac{16}{x^{2}}\right)$&$105$\\ \hline \end{longtable}"," ",0,"(2*x^2*ln(2)+32/exp(2)+2*x/exp(2)-2/exp(2)*ln(-x+4))/(x-2)/x^2","A"
7749,1,25,22,0.286000," ","int(((-3*x*exp(exp(1/x)*exp(x))-3*x^2)*ln(2*exp(exp(1/x)*exp(x))+2*x)+(x^2-1)*exp(1/x)*exp(x)*exp(exp(1/x)*exp(x))+x^2)/(x^2*exp(exp(1/x)*exp(x))+x^3)/ln(2*exp(exp(1/x)*exp(x))+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 \ln \left(x \right)+\ln \left(\ln \left(2 \,{\mathrm e}^{{\mathrm e}^{\frac{x^{2}+1}{x}}}+2 x \right)\right)$&$25$\\ \hline \end{longtable}"," ",0,"-3*ln(x)+ln(ln(2*exp(exp((x^2+1)/x))+2*x))","A"
7750,1,17,11,0.022000," ","int((192*x^2+512*x+256)/(64*x^3+256*x^2+256*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(64 x^{3}+256 x^{2}+256 x +1\right)$&$17$\\ default&$\ln \left(64 x^{3}+256 x^{2}+256 x +1\right)$&$17$\\ norman&$\ln \left(64 x^{3}+256 x^{2}+256 x +1\right)$&$17$\\ risch&$\ln \left(64 x^{3}+256 x^{2}+256 x +1\right)$&$17$\\ \hline \end{longtable}"," ",0,"ln(64*x^3+256*x^2+256*x+1)","A"
7751,1,70,18,0.040000," ","int((-4*x*exp(exp(4))^4*ln(x)^4+(-64*x+4)*exp(exp(4))^4*ln(x)^3+(-384*x+48)*exp(exp(4))^4*ln(x)^2+(-1024*x+192)*exp(exp(4))^4*ln(x)+(-1024*x+256)*exp(exp(4))^4)/x/exp(2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{4} {\mathrm e}^{4 \,{\mathrm e}^{4}-4 x}+16 \ln \left(x \right)^{3} {\mathrm e}^{4 \,{\mathrm e}^{4}-4 x}+96 \ln \left(x \right)^{2} {\mathrm e}^{4 \,{\mathrm e}^{4}-4 x}+256 \ln \left(x \right) {\mathrm e}^{4 \,{\mathrm e}^{4}-4 x}+256 \,{\mathrm e}^{4 \,{\mathrm e}^{4}-4 x}$&$70$\\ \hline \end{longtable}"," ",0,"ln(x)^4*exp(4*exp(4)-4*x)+16*ln(x)^3*exp(4*exp(4)-4*x)+96*ln(x)^2*exp(4*exp(4)-4*x)+256*ln(x)*exp(4*exp(4)-4*x)+256*exp(4*exp(4)-4*x)","B"
7752,1,19,24,0.026000," ","int((8*x^6-208*x^5+1352*x^4-8*x^3+122*x^2-156*x+2)/(4*x^6-104*x^5+676*x^4-4*x^3+52*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -\frac{3}{2 \left(x^{3}-13 x^{2}-\frac{1}{2}\right)}$&$19$\\ risch&$2 x -\frac{3}{2 \left(x^{3}-13 x^{2}-\frac{1}{2}\right)}$&$19$\\ gosper&$\frac{2 x \left(2 x^{3}-29 x^{2}+39 x -1\right)}{2 x^{3}-26 x^{2}-1}$&$33$\\ norman&$\frac{4 x^{4}-58 x^{3}+78 x^{2}-2 x}{2 x^{3}-26 x^{2}-1}$&$35$\\ \hline \end{longtable}"," ",0,"2*x-3/2/(x^3-13*x^2-1/2)","A"
7753,1,18,17,0.025000," ","int(((2*x-1)*ln(x)+4*x^6+8*x^5+1)/(x*ln(x)+2*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)+2 x +\ln \left(2 x^{5}+\ln \left(x \right)\right)$&$18$\\ risch&$-\ln \left(x \right)+2 x +\ln \left(2 x^{5}+\ln \left(x \right)\right)$&$18$\\ \hline \end{longtable}"," ",0,"-ln(x)+2*x+ln(2*x^5+ln(x))","A"
7754,1,26,26,0.035000," ","int((((64*x^3+160*x^2)*ln(x)+32*x^2)*exp(5-ln(x)-x)+(-128*x^3+1536*x^2)*ln(x)-128*x^3+512*x^2)/(exp(5-ln(x)-x)^3+(-12*x+48)*exp(5-ln(x)-x)^2+(48*x^2-384*x+768)*exp(5-ln(x)-x)-64*x^3+768*x^2-3072*x+4096),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{32 x^{3} \ln \left(x \right)}{\left(4 x -\frac{{\mathrm e}^{5-x}}{x}-16\right)^{2}}$&$26$\\ \hline \end{longtable}"," ",0,"32*x^3*ln(x)/(4*x-1/x*exp(5-x)-16)^2","A"
7755,1,105,25,0.073000," ","int(((2*x^3*exp(1-x)^2+(4*x^3*exp(5)+4*x^3)*exp(1-x)+2*x^3*exp(5)^2+4*x^3*exp(5)+2*x^3+2*x)*ln(x^2*exp(1-x)^2+(2*x^2*exp(5)+2*x^2)*exp(1-x)+x^2*exp(5)^2+2*x^2*exp(5)+x^2+1)+(-2*x^4+2*x^3+6*x^2-6*x)*exp(1-x)^2+((-2*x^4+4*x^3+6*x^2-12*x)*exp(5)-2*x^4+4*x^3+6*x^2-12*x)*exp(1-x)+(2*x^3-6*x)*exp(5)^2+(4*x^3-12*x)*exp(5)+2*x^3-6*x)/(x^2*exp(1-x)^2+(2*x^2*exp(5)+2*x^2)*exp(1-x)+x^2*exp(5)^2+2*x^2*exp(5)+x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(x^{2} {\mathrm e}^{-2 x +2}+\left(2 x^{2} {\mathrm e}^{5}+2 x^{2}\right) {\mathrm e}^{1-x}+x^{2} {\mathrm e}^{10}+2 x^{2} {\mathrm e}^{5}+x^{2}+1\right)-6 \ln \left(x \right)+6-3 \ln \left({\mathrm e}^{-2 x +2}+\left(2 \,{\mathrm e}^{5}+2\right) {\mathrm e}^{1-x}+\frac{2 x^{2} {\mathrm e}^{5}+x^{2} {\mathrm e}^{10}+x^{2}+1}{x^{2}}\right)$&$105$\\ \hline \end{longtable}"," ",0,"x^2*ln(x^2*exp(-2*x+2)+(2*x^2*exp(5)+2*x^2)*exp(1-x)+x^2*exp(10)+2*x^2*exp(5)+x^2+1)-6*ln(x)+6-3*ln(exp(-2*x+2)+(2*exp(5)+2)*exp(1-x)+(2*x^2*exp(5)+x^2*exp(10)+x^2+1)/x^2)","B"
7756,1,5,15,0.030000," ","int(-exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{x}$&$5$\\ derivativedivides&$-{\mathrm e}^{x}$&$5$\\ default&$-{\mathrm e}^{x}$&$5$\\ norman&$-{\mathrm e}^{x}$&$5$\\ risch&$-{\mathrm e}^{x}$&$5$\\ meijerg&$1-{\mathrm e}^{x}$&$7$\\ \hline \end{longtable}"," ",0,"-exp(x)","A"
7757,1,19,24,0.028000," ","int((-8*x^5*ln(x)^2+(16*x^5+24*x-64)*ln(x)-8*x^5-16*x+48)/(x^5*ln(x)^2-2*x^5*ln(x)+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-8 x -\frac{8 \left(x -2\right)}{x^{4} \left(\ln \left(x \right)-1\right)}$&$19$\\ norman&$\frac{16-8 x +8 x^{5}-8 x^{5} \ln \left(x \right)}{x^{4} \left(\ln \left(x \right)-1\right)}$&$28$\\ \hline \end{longtable}"," ",0,"-8*x-8/x^4*(x-2)/(ln(x)-1)","A"
7758,1,22,19,0.188000," ","int((-ln(3)+exp(1))*ln(x)*exp((ln(3)-exp(1))/(x*ln(x)-x-20))/(x^2*ln(x)^2+(-2*x^2-40*x)*ln(x)+x^2+40*x+400),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-\ln \left(3\right)+{\mathrm e}}{x \ln \left(x \right)-x -20}}$&$22$\\ norman&$\frac{x \ln \left(x \right) {\mathrm e}^{\frac{\ln \left(3\right)-{\mathrm e}}{x \ln \left(x \right)-x -20}}-x \,{\mathrm e}^{\frac{\ln \left(3\right)-{\mathrm e}}{x \ln \left(x \right)-x -20}}-20 \,{\mathrm e}^{\frac{\ln \left(3\right)-{\mathrm e}}{x \ln \left(x \right)-x -20}}}{x \ln \left(x \right)-x -20}$&$83$\\ \hline \end{longtable}"," ",0,"exp(-(-ln(3)+exp(1))/(x*ln(x)-x-20))","A"
7759,1,30,24,0.022000," ","int((-25*exp(x)*x^3+8*ln(2)^2+2*(8*x-20)*ln(2)-40*x+50)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-16 \ln \left(2\right)+40\right) x -4 \ln \left(2\right)^{2}+20 \ln \left(2\right)-25}{x^{2}}-25 \,{\mathrm e}^{x}$&$30$\\ norman&$\frac{\left(-16 \ln \left(2\right)+40\right) x -25 \,{\mathrm e}^{x} x^{2}-4 \ln \left(2\right)^{2}+20 \ln \left(2\right)-25}{x^{2}}$&$32$\\ default&$-\frac{25}{x^{2}}+\frac{40}{x}+\frac{20 \ln \left(2\right)}{x^{2}}-\frac{4 \ln \left(2\right)^{2}}{x^{2}}-\frac{16 \ln \left(2\right)}{x}-25 \,{\mathrm e}^{x}$&$39$\\ \hline \end{longtable}"," ",0,"((-16*ln(2)+40)*x-4*ln(2)^2+20*ln(2)-25)/x^2-25*exp(x)","A"
7760,1,49,27,0.443000," ","int((((x^4-18*x^3+81*x^2)*exp(3-x)+(-x^2+11*x-9)*exp(1))*exp(-exp(1)/(x^2-9*x)/exp(3-x))+(x^5-17*x^4+63*x^3+81*x^2)*exp(3-x))/((x^4-18*x^3+81*x^2)*exp(3-x)*exp(-exp(1)/(x^2-9*x)/exp(3-x))+(x^5-18*x^4+81*x^3)*exp(3-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{{\mathrm e}^{x -2}}{\left(x -9\right) x}+\frac{{\mathrm e}^{x -2}}{x^{2}-9 x}+\ln \left({\mathrm e}^{-\frac{{\mathrm e}^{x -2}}{\left(x -9\right) x}}+x \right)$&$49$\\ norman&$\frac{\left(x^{3} {\mathrm e}^{3-x}-81 x \,{\mathrm e}^{3-x}\right) {\mathrm e}^{x -3}}{x \left(x -9\right)}+\ln \left({\mathrm e}^{-\frac{{\mathrm e} \,{\mathrm e}^{x -3}}{x^{2}-9 x}}+x \right)$&$64$\\ \hline \end{longtable}"," ",0,"x-1/(x-9)/x*exp(x-2)+1/(x^2-9*x)*exp(x-2)+ln(exp(-1/(x-9)/x*exp(x-2))+x)","A"
7761,1,18,20,0.043000," ","int((-2*x*ln(x)^2+20*x*ln(x)+(-2*x-2)*exp(16)^2-50*x)*exp(-exp(16)^2/(ln(x)-5))*exp((-2*x-2)*exp(-exp(16)^2/(ln(x)-5)))/(x*ln(x)^2-10*x*ln(x)+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-2 \left(x +1\right) {\mathrm e}^{-\frac{{\mathrm e}^{32}}{\ln \left(x \right)-5}}}$&$18$\\ \hline \end{longtable}"," ",0,"exp(-2*(x+1)*exp(-exp(32)/(ln(x)-5)))","A"
7762,1,33,25,0.111000," ","int((-8*x^6*ln(1/3*x)^2+(-8*x^3+6*x^2)*ln(1/3*x)-2*x^3+2*x^2)*exp((-x^4+x^3)*ln(1/3*x)/(4*x^3*ln(1/3*x)+1))^2/(16*x^6*ln(1/3*x)^2+8*x^3*ln(1/3*x)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{x}{3}\right)^{-\frac{2 x^{3} \left(x -1\right)}{4 x^{3} \ln \left(\frac{x}{3}\right)+1}}$&$33$\\ \hline \end{longtable}"," ",0,"((1/3*x)^(-x^3*(x-1)/(4*x^3*ln(x)-4*x^3*ln(3)+1)))^2","A"
7763,1,26,26,0.036000," ","int(72*x*ln(2)^2+2*((54*x^2+36*x)*ln(2)-72*x^3-540*x^2-300*x)*ln(2)+(36*x^3+54*x^2+18*x)*ln(2)^2+(-90*x^4-792*x^3-990*x^2-300*x)*ln(2)+54*x^5+900*x^4+4200*x^3+4500*x^2+1250*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{2} \left(3 x \ln \left(2\right)-3 x^{2}+9 \ln \left(2\right)-30 x -25\right)^{2}$&$26$\\ norman&$\left(-18 \ln \left(2\right)+180\right) x^{5}+\left(9 \ln \left(2\right)^{2}-234 \ln \left(2\right)+1050\right) x^{4}+\left(54 \ln \left(2\right)^{2}-690 \ln \left(2\right)+1500\right) x^{3}+\left(81 \ln \left(2\right)^{2}-450 \ln \left(2\right)+625\right) x^{2}+9 x^{6}$&$65$\\ risch&$9 x^{4} \ln \left(2\right)^{2}-18 x^{5} \ln \left(2\right)+9 x^{6}+54 x^{3} \ln \left(2\right)^{2}-234 x^{4} \ln \left(2\right)+180 x^{5}+81 x^{2} \ln \left(2\right)^{2}-690 x^{3} \ln \left(2\right)+1050 x^{4}-450 x^{2} \ln \left(2\right)+1500 x^{3}+625 x^{2}$&$82$\\ default&$36 x^{2} \ln \left(2\right)^{2}+2 \ln \left(2\right) \left(\ln \left(2\right) \left(18 x^{3}+18 x^{2}\right)-18 x^{4}-180 x^{3}-150 x^{2}\right)+\ln \left(2\right)^{2} \left(9 x^{4}+18 x^{3}+9 x^{2}\right)+\ln \left(2\right) \left(-18 x^{5}-198 x^{4}-330 x^{3}-150 x^{2}\right)+9 x^{6}+180 x^{5}+1050 x^{4}+1500 x^{3}+625 x^{2}$&$115$\\ \hline \end{longtable}"," ",0,"x^2*(3*x*ln(2)-3*x^2+9*ln(2)-30*x-25)^2","A"
7764,1,29,24,0.038000," ","int(((16*x^3-24*x^2)*ln(2)+100*x^4-160*x^3)*exp(-4*ln(2)^2+(4*x^4-8*x^3)*ln(2)+20*x^5-40*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16^{\left(x -2\right) x^{3}} {\mathrm e}^{-4 \ln \left(2\right)^{2}+20 x^{5}-40 x^{4}}$&$29$\\ gosper&${\mathrm e}^{4 x^{4} \ln \left(2\right)+20 x^{5}-8 x^{3} \ln \left(2\right)-40 x^{4}-4 \ln \left(2\right)^{2}}$&$33$\\ derivativedivides&${\mathrm e}^{-4 \ln \left(2\right)^{2}+\left(4 x^{4}-8 x^{3}\right) \ln \left(2\right)+20 x^{5}-40 x^{4}}$&$33$\\ default&${\mathrm e}^{-4 \ln \left(2\right)^{2}+\left(4 x^{4}-8 x^{3}\right) \ln \left(2\right)+20 x^{5}-40 x^{4}}$&$33$\\ norman&${\mathrm e}^{-4 \ln \left(2\right)^{2}+\left(4 x^{4}-8 x^{3}\right) \ln \left(2\right)+20 x^{5}-40 x^{4}}$&$33$\\ \hline \end{longtable}"," ",0,"16^((x-2)*x^3)*exp(-4*ln(2)^2+20*x^5-40*x^4)","A"
7765,1,25,22,0.135000," ","int(((5*x^3-20*x-40)*exp((5*x^3+125*x^2+20*x+20)/x^2)*exp(exp((5*x^3+125*x^2+20*x+20)/x^2))-x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{{\mathrm e}^{\frac{5 x^{3}+125 x^{2}+20 x +20}{x^{2}}}}$&$25$\\ norman&$\frac{x^{2} {\mathrm e}^{{\mathrm e}^{\frac{5 x^{3}+125 x^{2}+20 x +20}{x^{2}}}}-x^{3}}{x^{2}}$&$36$\\ \hline \end{longtable}"," ",0,"-x+exp(exp(5*(x^3+25*x^2+4*x+4)/x^2))","A"
7766,1,20,23,0.017000," ","int((-4*x^3+20*x)*exp(1)+2*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(x^{3} {\mathrm e}-10 x \,{\mathrm e}-x -2\right)$&$20$\\ default&${\mathrm e} \left(-x^{4}+10 x^{2}\right)+x^{2}+2 x$&$22$\\ norman&$\left(10 \,{\mathrm e}+1\right) x^{2}+2 x -x^{4} {\mathrm e}$&$22$\\ risch&$-x^{4} {\mathrm e}+10 x^{2} {\mathrm e}+x^{2}+2 x$&$22$\\ \hline \end{longtable}"," ",0,"-x*(x^3*exp(1)-10*x*exp(1)-x-2)","A"
7767,1,17,18,0.231000," ","int((4*(28*x-16)*ln(2)+28*x^2-32*x)/(4*x*ln(2)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$28 x -16 \ln \left(4 x \ln \left(2\right)+x^{2}\right)$&$17$\\ default&$28 x -16 \ln \left(x \right)-16 \ln \left(x +4 \ln \left(2\right)\right)$&$18$\\ norman&$28 x -16 \ln \left(x \right)-16 \ln \left(x +4 \ln \left(2\right)\right)$&$18$\\ meijerg&$-16 \ln \left(x \right)+32 \ln \left(2\right)+16 \ln \left(\ln \left(2\right)\right)+16 \ln \left(1+\frac{x}{4 \ln \left(2\right)}\right)+\left(112 \ln \left(2\right)-32\right) \ln \left(1+\frac{x}{4 \ln \left(2\right)}\right)+112 \ln \left(2\right) \left(\frac{x}{4 \ln \left(2\right)}-\ln \left(1+\frac{x}{4 \ln \left(2\right)}\right)\right)$&$68$\\ \hline \end{longtable}"," ",0,"28*x-16*ln(4*x*ln(2)+x^2)","A"
7768,1,18,17,0.024000," ","int(((64*exp(x)*x^2+128*x^3+64*x^2)*ln(exp(x)+x^2+x-2)^3-exp(x)-x^2-x+2)/(exp(x)*x^2+x^4+x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 \ln \left({\mathrm e}^{x}+x^{2}+x -2\right)^{4}+\frac{1}{x}$&$18$\\ \hline \end{longtable}"," ",0,"16*ln(exp(x)+x^2+x-2)^4+1/x","A"
7769,1,27,18,0.067000," ","int((16*x*ln(3)*ln(6*x)^2+(-8*x*ln(3)+4*x^3)*ln(6*x)-2*x^3)/ln(3)^2/ln(6*x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} \left(8 \ln \left(3\right) \ln \left(6 x \right)+x^{2}\right)}{\ln \left(3\right)^{2} \ln \left(6 x \right)^{2}}$&$27$\\ norman&$\frac{\frac{x^{4}}{\ln \left(3\right)}+8 \ln \left(6 x \right) x^{2}}{\ln \left(3\right) \ln \left(6 x \right)^{2}}$&$30$\\ default&$\frac{-\frac{4 \ln \left(3\right) \expIntegralEi \left(1, -2 \ln \left(6 x \right)\right)}{9}-\frac{2 \ln \left(3\right) \left(-\frac{36 x^{2}}{\ln \left(6 x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(6 x \right)\right)\right)}{9}+\frac{x^{4}}{\ln \left(6 x \right)^{2}}}{\ln \left(3\right)^{2}}$&$55$\\ derivativedivides&$\frac{-288 \ln \left(3\right) \expIntegralEi \left(1, -2 \ln \left(6 x \right)\right)-144 \ln \left(3\right) \left(-\frac{36 x^{2}}{\ln \left(6 x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(6 x \right)\right)\right)+\frac{648 x^{4}}{\ln \left(6 x \right)^{2}}}{648 \ln \left(3\right)^{2}}$&$57$\\ \hline \end{longtable}"," ",0,"1/ln(3)^2*x^2*(8*ln(3)*ln(6*x)+x^2)/ln(6*x)^2","A"
7770,1,18,17,0.033000," ","int((((40*x^2-20)*ln(3)+240*x^2-120)*exp(x^2+5)+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{20 \left(6+\ln \left(3\right)\right) {\mathrm e}^{x^{2}+5}}{x}$&$18$\\ norman&$\frac{x^{2}+\left(20 \ln \left(3\right)+120\right) {\mathrm e}^{x^{2}+5}}{x}$&$22$\\ default&$x +120 \,{\mathrm e}^{5} \sqrt{\pi}\, \erfi \left(x \right)-120 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{x^{2}}}{x}+\sqrt{\pi}\, \erfi \left(x \right)\right)+\frac{20 \,{\mathrm e}^{5} \ln \left(3\right) {\mathrm e}^{x^{2}}}{x}$&$45$\\ \hline \end{longtable}"," ",0,"x+20*(6+ln(3))*exp(x^2+5)/x","A"
7771,1,29,27,0.161000," ","int(1/25*(((2*x^3-10)*exp(5)-6*x^5-30*x^3+30*x^2)*exp(1/5*(x^3+10)/x)+5*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{5}+\frac{\left(-15 x^{2}+5 \,{\mathrm e}^{5}\right) {\mathrm e}^{\frac{x^{3}+10}{5 x}}}{25}$&$29$\\ norman&$\frac{-\frac{3 x^{3} {\mathrm e}^{\frac{x^{3}+10}{5 x}}}{5}+\frac{{\mathrm e}^{5} {\mathrm e}^{\frac{x^{3}+10}{5 x}} x}{5}}{x}+\frac{\ln \left(x \right)}{5}$&$43$\\ \hline \end{longtable}"," ",0,"1/5*ln(x)+1/25*(-15*x^2+5*exp(5))*exp(1/5*(x^3+10)/x)","A"
7772,1,20,21,0.044000," ","int((((4*x^2+40*x+100)*exp(x)-40*x-200)*ln(5+x)+(16*x^2+164*x+400)*exp(x)-168*x-800)/(((125*x^7+625*x^6)*exp(x)^2+(-500*x^7-2500*x^6)*exp(x)+500*x^7+2500*x^6)*ln(5+x)^2+((1000*x^7+5000*x^6)*exp(x)^2+(-4000*x^7-20000*x^6)*exp(x)+4000*x^7+20000*x^6)*ln(5+x)+(2000*x^7+10000*x^6)*exp(x)^2+(-8000*x^7-40000*x^6)*exp(x)+8000*x^7+40000*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4}{125 \left({\mathrm e}^{x}-2\right) x^{5} \left(\ln \left(5+x \right)+4\right)}$&$20$\\ \hline \end{longtable}"," ",0,"-4/125/(exp(x)-2)/x^5/(ln(5+x)+4)","A"
7773,1,38,21,0.038000," ","int((8*x*ln(x)-8)*exp(((-2*ln(2)-3)*ln(ln(x))+2*(x-10)*ln(2)+3*x-34)/(2*ln(2)+3))^8/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-16 \ln \left(2\right) \ln \left(\ln \left(x \right)\right)+16 x \ln \left(2\right)-24 \ln \left(\ln \left(x \right)\right)-160 \ln \left(2\right)+24 x -272}{2 \ln \left(2\right)+3}}$&$38$\\ \hline \end{longtable}"," ",0,"exp(8*(-2*ln(2)*ln(ln(x))+2*x*ln(2)-3*ln(ln(x))-20*ln(2)+3*x-34)/(2*ln(2)+3))","A"
7774,1,17,22,0.033000," ","int((400*exp(exp(5))-2*x^2-3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x -\frac{400 \,{\mathrm e}^{{\mathrm e}^{5}}-3}{x}$&$17$\\ norman&$\frac{-2 x^{2}+3-400 \,{\mathrm e}^{{\mathrm e}^{5}}}{x}$&$17$\\ gosper&$-\frac{2 x^{2}+400 \,{\mathrm e}^{{\mathrm e}^{5}}-3}{x}$&$18$\\ risch&$-2 x -\frac{400 \,{\mathrm e}^{{\mathrm e}^{5}}}{x}+\frac{3}{x}$&$18$\\ \hline \end{longtable}"," ",0,"-2*x-(400*exp(exp(5))-3)/x","A"
7775,1,189,22,0.230000," ","int(((5*exp(x)^2*x^2-50*x^3+15*x)*ln((-x*exp(x)^2+10*x^2-3)/x)+10*exp(x)^2*x^2-50*x^2-15)*exp(ln(ln((-x*exp(x)^2+10*x^2-3)/x))+x)/(exp(x)^2*x^2-10*x^3+3*x)/ln((-x*exp(x)^2+10*x^2-3)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \,{\mathrm e}^{x} \ln \left(-\frac{x \,{\mathrm e}^{2 x}}{10}+x^{2}-\frac{3}{10}\right)-5 \,{\mathrm e}^{x} \ln \left(x \right)+\frac{5 i \pi  \,\mathrm{csgn}\left(i \left(-\frac{x \,{\mathrm e}^{2 x}}{10}+x^{2}-\frac{3}{10}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\frac{x \,{\mathrm e}^{2 x}}{10}+x^{2}-\frac{3}{10}\right)}{x}\right)^{2} {\mathrm e}^{x}}{2}-\frac{5 i \pi  \,\mathrm{csgn}\left(i \left(-\frac{x \,{\mathrm e}^{2 x}}{10}+x^{2}-\frac{3}{10}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\frac{x \,{\mathrm e}^{2 x}}{10}+x^{2}-\frac{3}{10}\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) {\mathrm e}^{x}}{2}+\frac{5 i \pi  \mathrm{csgn}\left(\frac{i \left(-\frac{x \,{\mathrm e}^{2 x}}{10}+x^{2}-\frac{3}{10}\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right) {\mathrm e}^{x}}{2}-\frac{5 i \pi  \mathrm{csgn}\left(\frac{i \left(-\frac{x \,{\mathrm e}^{2 x}}{10}+x^{2}-\frac{3}{10}\right)}{x}\right)^{3} {\mathrm e}^{x}}{2}+5 \,{\mathrm e}^{x} \ln \left(2\right)+5 \,{\mathrm e}^{x} \ln \left(5\right)$&$189$\\ \hline \end{longtable}"," ",0,"5*exp(x)*ln(-1/10*x*exp(2*x)+x^2-3/10)-5*exp(x)*ln(x)+5/2*I*Pi*csgn(I*(-1/10*x*exp(2*x)+x^2-3/10))*csgn(I/x*(-1/10*x*exp(2*x)+x^2-3/10))^2*exp(x)-5/2*I*Pi*csgn(I*(-1/10*x*exp(2*x)+x^2-3/10))*csgn(I/x*(-1/10*x*exp(2*x)+x^2-3/10))*csgn(I/x)*exp(x)+5/2*I*Pi*csgn(I/x*(-1/10*x*exp(2*x)+x^2-3/10))^2*csgn(I/x)*exp(x)-5/2*I*Pi*csgn(I/x*(-1/10*x*exp(2*x)+x^2-3/10))^3*exp(x)+5*exp(x)*ln(2)+5*exp(x)*ln(5)","C"
7776,1,41,24,0.265000," ","int((((-20*x^5+350*x^4+3320*x^3+10300*x^2+11250*x)*ln(x-25)-5*x^5-50*x^4-215*x^3-450*x^2-405*x)*ln(x)+(-5*x^5+75*x^4+1035*x^3+4925*x^2+10845*x+10125)*ln(x-25)+15*x^2-375*x)/(x^2-25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-5 x^{4} \ln \left(x \right)-50 x^{3} \ln \left(x \right)-215 x^{2} \ln \left(x \right)-450 x \ln \left(x \right)-405 \ln \left(x \right)\right) \ln \left(x -25\right)+15 x$&$41$\\ \hline \end{longtable}"," ",0,"(-5*x^4*ln(x)-50*x^3*ln(x)-215*x^2*ln(x)-450*x*ln(x)-405*ln(x))*ln(x-25)+15*x","A"
7777,1,27,27,0.020000," ","int(-2/3*x*ln(x)+exp(x)+4*x^3-29*x^2+137/3*x+5/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5 x}{4}+23 x^{2}-\frac{29 x^{3}}{3}+x^{4}-\frac{x^{2} \ln \left(x \right)}{3}+{\mathrm e}^{x}$&$27$\\ norman&$\frac{5 x}{4}+23 x^{2}-\frac{29 x^{3}}{3}+x^{4}-\frac{x^{2} \ln \left(x \right)}{3}+{\mathrm e}^{x}$&$27$\\ risch&$\frac{5 x}{4}+23 x^{2}-\frac{29 x^{3}}{3}+x^{4}-\frac{x^{2} \ln \left(x \right)}{3}+{\mathrm e}^{x}$&$27$\\ \hline \end{longtable}"," ",0,"5/4*x+23*x^2-29/3*x^3+x^4-1/3*x^2*ln(x)+exp(x)","A"
7778,1,74,29,0.099000," ","int((((-12*x^2-1)*ln(x)^3+(36*x^3+3*x)*ln(x)^2+(-36*x^4-15*x^2)*ln(x)+12*x^5+x^3+12*x^2)*exp((3*x^2*ln(x)^2-6*x^3*ln(x)+3*x^4+3*x^2)/(ln(x)^2-2*x*ln(x)+x^2))^2+((-12*x^3-4*x)*ln(x)^3+(36*x^4+12*x^2)*ln(x)^2+(-36*x^5-24*x^3)*ln(x)+12*x^6+4*x^4+12*x^3)*exp((3*x^2*ln(x)^2-6*x^3*ln(x)+3*x^4+3*x^2)/(ln(x)^2-2*x*ln(x)+x^2))+(-3*x^2-48)*ln(x)^3+(9*x^3+144*x)*ln(x)^2+(-9*x^4-144*x^2)*ln(x)+3*x^5+48*x^3)/(16*ln(x)^3-48*x*ln(x)^2+48*x^2*ln(x)-16*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{3}}{16}-3 x -\frac{x \,{\mathrm e}^{\frac{6 x^{2} \left(\ln \left(x \right)^{2}-2 x \ln \left(x \right)+x^{2}+1\right)}{\left(\ln \left(x \right)-x \right)^{2}}}}{16}-\frac{x^{2} {\mathrm e}^{\frac{3 x^{2} \left(\ln \left(x \right)^{2}-2 x \ln \left(x \right)+x^{2}+1\right)}{\left(\ln \left(x \right)-x \right)^{2}}}}{8}$&$74$\\ \hline \end{longtable}"," ",0,"-1/16*x^3-3*x-1/16*x*exp(6*x^2*(ln(x)^2-2*x*ln(x)+x^2+1)/(ln(x)-x)^2)-1/8*x^2*exp(3*x^2*(ln(x)^2-2*x*ln(x)+x^2+1)/(ln(x)-x)^2)","B"
7779,1,55,29,0.080000," ","int((-8*x^2*ln(x^2)^2-16*x^2*ln(x^2)+((2*x^2+2*x)*exp(x)+2*x-2)*ln(x)+(-2*x^3-2*x^2)*exp(x)^2+(-2*x^3-4*x^2+2*x)*exp(x)-2*x^2+4*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -2 \,{\mathrm e}^{x} x^{2}+2 x \,{\mathrm e}^{x} \ln \left(x \right)-x^{2}-4 x^{2} \ln \left(x^{2}\right)^{2}+2 x \ln \left(x \right)-\ln \left(x \right)^{2}-{\mathrm e}^{2 x} x^{2}$&$55$\\ risch&$\left(-16 x^{2}-1\right) \ln \left(x \right)^{2}+\left(8 i x^{2} \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-16 i x^{2} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+8 i x^{2} \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 x +2 \,{\mathrm e}^{x} x \right) \ln \left(x \right)+\pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-4 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}+6 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}-4 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}+\pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}-{\mathrm e}^{2 x} x^{2}-2 \,{\mathrm e}^{x} x^{2}-x^{2}+2 x$&$217$\\ \hline \end{longtable}"," ",0,"2*x-2*exp(x)*x^2+2*x*exp(x)*ln(x)-x^2-4*x^2*ln(x^2)^2+2*x*ln(x)-ln(x)^2-exp(x)^2*x^2","A"
7780,1,89,32,0.436000," ","int((((2*x^4-4*x^2+2)*exp(3)^2+(-4*x^5-8*x^4+8*x^3+8*x^2-4*x)*exp(3)+2*x^6+8*x^5+4*x^4-8*x^3+2*x^2)*exp(x)+2*((x^3+x^2-x+1)*exp(3)^2+(-2*x^4-4*x^3-2*x)*exp(3)+x^5+3*x^4-x^3+x^2)*ln(2))/((x^4-2*x^2+1)*exp(3)^2+(-2*x^5-4*x^4+4*x^3+4*x^2-2*x)*exp(3)+x^6+4*x^5+2*x^4-4*x^3+x^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\left(4 \,{\mathrm e}^{3}-2 \,{\mathrm e}^{6}\right) {\mathrm e}^{x}-4 \,{\mathrm e}^{x} x +\left(2 \,{\mathrm e}^{6}-8 \,{\mathrm e}^{3}+10\right) x^{2} {\mathrm e}^{x}+2 x^{2} \ln \left(2\right)-2 \,{\mathrm e}^{x} x^{4}-2 \,{\mathrm e}^{3} \ln \left(2\right) x \right) {\mathrm e}^{-x}}{x^{2} {\mathrm e}^{3}-x^{3}-2 x^{2}-{\mathrm e}^{3}+x}$&$89$\\ default&$\text{Expression too large to display}$&$3946$\\ \hline \end{longtable}"," ",0,"((-2*exp(3)^2+4*exp(3))*exp(x)-4*exp(x)*x+(2*exp(3)^2-8*exp(3)+10)*x^2*exp(x)+2*x^2*ln(2)-2*exp(x)*x^4-2*exp(3)*ln(2)*x)/(x^2*exp(3)-x^3-2*x^2-exp(3)+x)/exp(x)","B"
7781,1,25,29,0.447000," ","int(((2*x^2-2*x-1)*exp(-x^2+2*x)*exp(1/10*x*exp(-x^2+2*x)-3)+10*exp(x))/(20*exp(1/10*x*exp(-x^2+2*x)-3)^2+(-40*exp(x)+40*ln(2))*exp(1/10*x*exp(-x^2+2*x)-3)+20*exp(x)^2-40*exp(x)*ln(2)+20*ln(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{2 \ln \left(2\right)-2 \,{\mathrm e}^{x}+2 \,{\mathrm e}^{\frac{x \,{\mathrm e}^{-\left(x -2\right) x}}{10}-3}}$&$25$\\ \hline \end{longtable}"," ",0,"1/2/(ln(2)-exp(x)+exp(1/10*x*exp(-(x-2)*x)-3))","A"
7782,1,14,18,0.044000," ","int(1/9*((-x^2+x)*exp(x+27)-2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{1}{9}-\frac{{\mathrm e}^{x +27} x}{9}}{x^{2}}$&$14$\\ derivativedivides&$\frac{1}{9 x^{2}}-\frac{{\mathrm e}^{x +27}}{9 x}$&$16$\\ default&$\frac{1}{9 x^{2}}-\frac{{\mathrm e}^{x +27}}{9 x}$&$16$\\ risch&$\frac{1}{9 x^{2}}-\frac{{\mathrm e}^{x +27}}{9 x}$&$16$\\ \hline \end{longtable}"," ",0,"(1/9-1/9*exp(x+27)*x)/x^2","A"
7783,1,7,25,0.226000," ","int(2/(3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(3+x \right)$&$7$\\ norman&$2 \ln \left(3+x \right)$&$7$\\ risch&$2 \ln \left(3+x \right)$&$7$\\ meijerg&$2 \ln \left(1+\frac{x}{3}\right)$&$9$\\ \hline \end{longtable}"," ",0,"2*ln(3+x)","A"
7784,1,61,20,2.660000," ","int((x*ln(x)^2*ln(x*ln(3))^2+(x*ln(x)^2+390625)*ln(x*ln(3))-x*ln(x)^2+390625*ln(x))/((x^2+x)*ln(x)^2*ln(x*ln(3))^2+(x^2*ln(x)^2-390625*x*ln(x))*ln(x*ln(3))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x +1\right)-\ln \left(\ln \left(\ln \left(3\right)\right) \ln \left(x \right)+\ln \left(x \right)^{2}\right)+\ln \left(\ln \left(x \right)^{2}+\frac{i \left(-2 i x \ln \left(\ln \left(3\right)\right)-2 i \ln \left(\ln \left(3\right)\right)-2 i x \right) \ln \left(x \right)}{2 x +2}-\frac{390625}{x +1}\right)$&$61$\\ \hline \end{longtable}"," ",0,"ln(x+1)-ln(ln(ln(3))*ln(x)+ln(x)^2)+ln(ln(x)^2+1/2*I*(-2*I*x*ln(ln(3))-2*I*ln(ln(3))-2*I*x)/(x+1)*ln(x)-390625/(x+1))","C"
7785,1,22,23,0.040000," ","int(((-5*exp(4*x^2)*ln(x)^2+(40*x^3+248*x^2-5*x-31)*ln(x)+5*x+31)*exp(x/exp(4*x^2)/ln(x))+exp(4*x^2)*ln(x)^2)/exp(4*x^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{x \,{\mathrm e}^{-4 x^{2}}}{\ln \left(x \right)}} \left(-31-5 x \right)$&$22$\\ \hline \end{longtable}"," ",0,"x+exp(x*exp(-4*x^2)/ln(x))*(-31-5*x)","A"
7786,1,934,28,0.266000," ","int(((4*exp(2*x)-x)*ln(-x/(4*exp(2*x)-x))^2+(48*x^2-8*x-8)*exp(2*x)*ln(-x/(4*exp(2*x)-x))+(-4*ln(2)+4*x^2)*exp(2*x)+x*ln(2)-x^3)/(4*exp(2*x)*x^2-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(3 x +1\right) \ln \left(x -4 \,{\mathrm e}^{2 x}\right)^{2}}{x}+\frac{\left(i \pi  \,\mathrm{csgn}\left(\frac{i}{x -4 \,{\mathrm e}^{2 x}}\right) \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i}{x -4 \,{\mathrm e}^{2 x}}\right) \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right) \mathrm{csgn}\left(i x \right)-i \pi  \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{2} \mathrm{csgn}\left(i x \right)+6 x \ln \left(x \right)+2 \ln \left(x \right)\right) \ln \left(x -4 \,{\mathrm e}^{2 x}\right)}{x}+\frac{4 \ln \left(2\right)-4 \ln \left(x \right)^{2}+4 x^{2}-12 x \ln \left(x \right)^{2}-2 \pi^{2} \mathrm{csgn}\left(\frac{i}{x -4 \,{\mathrm e}^{2 x}}\right)^{2} \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{3} \mathrm{csgn}\left(i x \right)+4 \pi^{2} \mathrm{csgn}\left(\frac{i}{x -4 \,{\mathrm e}^{2 x}}\right) \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{4} \mathrm{csgn}\left(i x \right)+\pi^{2} \mathrm{csgn}\left(\frac{i}{x -4 \,{\mathrm e}^{2 x}}\right)^{2} \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{2} \mathrm{csgn}\left(i x \right)^{2}-2 \pi^{2} \mathrm{csgn}\left(\frac{i}{x -4 \,{\mathrm e}^{2 x}}\right) \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{3} \mathrm{csgn}\left(i x \right)^{2}+4 i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{3}-12 i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{x -4 \,{\mathrm e}^{2 x}}\right) \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{2} x -12 i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{2} \mathrm{csgn}\left(i x \right) x +4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{x -4 \,{\mathrm e}^{2 x}}\right) \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right) \mathrm{csgn}\left(i x \right)+12 i \pi  \ln \left(-\frac{x}{4}+{\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i}{x -4 \,{\mathrm e}^{2 x}}\right) \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{2} x +12 i \pi  \ln \left(-\frac{x}{4}+{\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{2} \mathrm{csgn}\left(i x \right) x +\pi^{2} \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{6}-4 i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{2} \mathrm{csgn}\left(i x \right)-12 i \pi  \ln \left(-\frac{x}{4}+{\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{3} x +12 i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{3} x -4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(\frac{i}{x -4 \,{\mathrm e}^{2 x}}\right) \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{2}+12 i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{x -4 \,{\mathrm e}^{2 x}}\right) \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right) \mathrm{csgn}\left(i x \right) x -12 i \pi  \ln \left(-\frac{x}{4}+{\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i}{x -4 \,{\mathrm e}^{2 x}}\right) \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right) \mathrm{csgn}\left(i x \right) x +\pi^{2} \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}+\pi^{2} \mathrm{csgn}\left(\frac{i}{x -4 \,{\mathrm e}^{2 x}}\right)^{2} \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{4}-2 \pi^{2} \mathrm{csgn}\left(\frac{i}{x -4 \,{\mathrm e}^{2 x}}\right) \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{5}-2 \pi^{2} \mathrm{csgn}\left(\frac{i x}{x -4 \,{\mathrm e}^{2 x}}\right)^{5} \mathrm{csgn}\left(i x \right)}{4 x}$&$934$\\ \hline \end{longtable}"," ",0,"-(3*x+1)/x*ln(x-4*exp(2*x))^2+(I*Pi*csgn(I/(x-4*exp(2*x)))*csgn(I*x/(x-4*exp(2*x)))^2-I*Pi*csgn(I/(x-4*exp(2*x)))*csgn(I*x/(x-4*exp(2*x)))*csgn(I*x)-I*Pi*csgn(I*x/(x-4*exp(2*x)))^3+I*Pi*csgn(I*x/(x-4*exp(2*x)))^2*csgn(I*x)+6*x*ln(x)+2*ln(x))/x*ln(x-4*exp(2*x))+1/4*(4*ln(2)-4*ln(x)^2+4*x^2-12*x*ln(x)^2-2*Pi^2*csgn(I/(x-4*exp(2*x)))^2*csgn(I*x/(x-4*exp(2*x)))^3*csgn(I*x)+4*Pi^2*csgn(I/(x-4*exp(2*x)))*csgn(I*x/(x-4*exp(2*x)))^4*csgn(I*x)+Pi^2*csgn(I/(x-4*exp(2*x)))^2*csgn(I*x/(x-4*exp(2*x)))^2*csgn(I*x)^2-2*Pi^2*csgn(I/(x-4*exp(2*x)))*csgn(I*x/(x-4*exp(2*x)))^3*csgn(I*x)^2+4*I*ln(x)*Pi*csgn(I*x/(x-4*exp(2*x)))^3-4*I*ln(x)*Pi*csgn(I*x/(x-4*exp(2*x)))^2*csgn(I*x)-12*I*Pi*ln(-1/4*x+exp(2*x))*csgn(I*x/(x-4*exp(2*x)))^3*x+Pi^2*csgn(I*x/(x-4*exp(2*x)))^6+12*I*Pi*ln(x)*csgn(I*x/(x-4*exp(2*x)))^3*x-4*I*ln(x)*Pi*csgn(I/(x-4*exp(2*x)))*csgn(I*x/(x-4*exp(2*x)))^2+Pi^2*csgn(I*x/(x-4*exp(2*x)))^4*csgn(I*x)^2+Pi^2*csgn(I/(x-4*exp(2*x)))^2*csgn(I*x/(x-4*exp(2*x)))^4-2*Pi^2*csgn(I/(x-4*exp(2*x)))*csgn(I*x/(x-4*exp(2*x)))^5-2*Pi^2*csgn(I*x/(x-4*exp(2*x)))^5*csgn(I*x)+12*I*Pi*ln(x)*csgn(I/(x-4*exp(2*x)))*csgn(I*x/(x-4*exp(2*x)))*csgn(I*x)*x-12*I*Pi*ln(-1/4*x+exp(2*x))*csgn(I/(x-4*exp(2*x)))*csgn(I*x/(x-4*exp(2*x)))*csgn(I*x)*x-12*I*Pi*ln(x)*csgn(I/(x-4*exp(2*x)))*csgn(I*x/(x-4*exp(2*x)))^2*x-12*I*Pi*ln(x)*csgn(I*x/(x-4*exp(2*x)))^2*csgn(I*x)*x+4*I*ln(x)*Pi*csgn(I/(x-4*exp(2*x)))*csgn(I*x/(x-4*exp(2*x)))*csgn(I*x)+12*I*Pi*ln(-1/4*x+exp(2*x))*csgn(I/(x-4*exp(2*x)))*csgn(I*x/(x-4*exp(2*x)))^2*x+12*I*Pi*ln(-1/4*x+exp(2*x))*csgn(I*x/(x-4*exp(2*x)))^2*csgn(I*x)*x)/x","C"
7787,1,34,22,0.027000," ","int(((-ln(2)^2+22*ln(2)+x^2-121)*ln(x)+ln(2)^2+(-2*x-22)*ln(2)+4*x^2+22*x+121)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(\ln \left(2\right)^{2}+x^{2}-22 \ln \left(2\right)+121\right) \ln \left(x \right)}{x}-2 \ln \left(2\right) \ln \left(x \right)+22 \ln \left(x \right)+3 x$&$34$\\ norman&$\frac{x^{2} \ln \left(x \right)+\left(\ln \left(2\right)^{2}-22 \ln \left(2\right)+121\right) \ln \left(x \right)+\left(-2 \ln \left(2\right)+22\right) x \ln \left(x \right)+3 x^{2}}{x}$&$40$\\ default&$-\ln \left(2\right)^{2} \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)+x \ln \left(x \right)+3 x +22 \ln \left(2\right) \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)-\frac{\ln \left(2\right)^{2}}{x}-2 \ln \left(2\right) \ln \left(x \right)+\frac{121 \ln \left(x \right)}{x}+\frac{22 \ln \left(2\right)}{x}+22 \ln \left(x \right)$&$78$\\ \hline \end{longtable}"," ",0,"(ln(2)^2+x^2-22*ln(2)+121)/x*ln(x)-2*ln(2)*ln(x)+22*ln(x)+3*x","A"
7788,1,22,25,0.120000," ","int(((-x*ln(x)^2+(-2*x+14)*ln(x)-1)*exp((-x+7)*ln(x)^2)+5)*ln(ln(ln(5)))/(exp((-x+7)*ln(x)^2)^2-10*exp((-x+7)*ln(x)^2)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(\ln \left(\ln \left(5\right)\right)\right) x}{{\mathrm e}^{-\left(x -7\right) \ln \left(x \right)^{2}}-5}$&$22$\\ norman&$-\frac{\ln \left(\ln \left(\ln \left(5\right)\right)\right) x}{{\mathrm e}^{\left(-x +7\right) \ln \left(x \right)^{2}}-5}$&$23$\\ \hline \end{longtable}"," ",0,"-ln(ln(ln(5)))*x/(exp(-(x-7)*ln(x)^2)-5)","A"
7789,1,21,19,0.102000," ","int(((2*exp(2)*x+3750*x^3+10600*x^2+1218*x)*ln(x)+(2*x+8)*exp(2)+1250*x^3+5300*x^2+1218*x+72)*exp(((4+x)*exp(2)+625*x^3+2650*x^2+609*x+36)*ln(x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{\left(625 x^{2}+{\mathrm e}^{2}+150 x +9\right) \left(4+x \right)}$&$21$\\ norman&$2 \,{\mathrm e}^{\left(\left(4+x \right) {\mathrm e}^{2}+625 x^{3}+2650 x^{2}+609 x +36\right) \ln \left(x \right)}$&$28$\\ \hline \end{longtable}"," ",0,"2*x^((625*x^2+exp(2)+150*x+9)*(4+x))","A"
7790,1,30,28,0.187000," ","int((((x^3+x^2+9*x)*exp(x)-x^3-4*x^2-11*x-9)*exp(ln(-1/5*x^3-1/5*x^2-9/5*x)+4)+(-2*x^4-2*x^3-18*x^2)*exp(x)+2*x^4+4*x^3+20*x^2+18*x)/((x^3+x^2+9*x)*exp(ln(-1/5*x^3-1/5*x^2-9/5*x)+4)-2*x^4-2*x^3-18*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\ln \left(x \right)-\ln \left(x^{2} {\mathrm e}^{4}+x \,{\mathrm e}^{4}+9 \,{\mathrm e}^{4}+10\right)+{\mathrm e}^{x}$&$30$\\ norman&$\frac{{\mathrm e}^{x} x -x^{2}}{x}-\ln \left(x \right)-\ln \left(x^{2} {\mathrm e}^{4}+x \,{\mathrm e}^{4}+9 \,{\mathrm e}^{4}+10\right)$&$39$\\ risch&$-x -\ln \left(x^{3}+x^{2}+9 x \right)+{\mathrm e}^{x}-\ln \left(5\right)+4+\ln \left(x \right)+\ln \left(x^{2}+x +9\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}+x +9\right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+x +9\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x^{2}+x +9\right)\right)+\mathrm{csgn}\left(i \left(x^{2}+x +9\right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(i x \left(x^{2}+x +9\right)\right)^{2} \left(\mathrm{csgn}\left(i x \left(x^{2}+x +9\right)\right)-1\right)-\ln \left(2 x -\frac{x \left(x^{2}+x +9\right) {\mathrm e}^{4} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i x \left(x^{2}+x +9\right)\right)^{3}}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i x \left(x^{2}+x +9\right)\right)^{2} \mathrm{csgn}\left(i x \right)}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i x \left(x^{2}+x +9\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{2}+x +9\right)\right)}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x^{2}+x +9\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x^{2}+x +9\right)\right)}{2}}}{5}\right)$&$240$\\ \hline \end{longtable}"," ",0,"-x-ln(x)-ln(x^2*exp(4)+x*exp(4)+9*exp(4)+10)+exp(x)","A"
7791,1,28,24,0.081000," ","int(1/5*(((-5*exp(4)+2*x)*exp(-x*exp(4)+1/5*x^2)+5)*exp((x*exp(23)-1)/exp(23))+20)/exp((x*exp(23)-1)/exp(23)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-\frac{x \left(5 \,{\mathrm e}^{4}-x \right)}{5}}-4 \,{\mathrm e}^{-\left(x \,{\mathrm e}^{23}-1\right) {\mathrm e}^{-23}}$&$28$\\ norman&$\left(-4+x \,{\mathrm e}^{\left(x \,{\mathrm e}^{23}-1\right) {\mathrm e}^{-23}}+{\mathrm e}^{-x \,{\mathrm e}^{4}+\frac{x^{2}}{5}} {\mathrm e}^{\left(x \,{\mathrm e}^{23}-1\right) {\mathrm e}^{-23}}\right) {\mathrm e}^{-\left(x \,{\mathrm e}^{23}-1\right) {\mathrm e}^{-23}}$&$57$\\ default&$x -4 \,{\mathrm e}^{-x} {\mathrm e}^{{\mathrm e}^{-23}}+{\mathrm e}^{-x \,{\mathrm e}^{4}+\frac{x^{2}}{5}}-\frac{i {\mathrm e}^{4} \sqrt{\pi}\, {\mathrm e}^{-\frac{5 \,{\mathrm e}^{8}}{4}} \sqrt{5}\, \erf \left(\frac{i \sqrt{5}\, x}{5}-\frac{i {\mathrm e}^{4} \sqrt{5}}{2}\right)}{2}+\frac{i \sqrt{\pi}\, {\mathrm e}^{4-\frac{5 \,{\mathrm e}^{8}}{4}} \sqrt{5}\, \erf \left(\frac{i \sqrt{5}\, x}{5}-\frac{i {\mathrm e}^{4} \sqrt{5}}{2}\right)}{2}$&$96$\\ \hline \end{longtable}"," ",0,"x+exp(-1/5*x*(5*exp(4)-x))-4*exp(-(x*exp(23)-1)*exp(-23))","A"
7792,1,18,17,0.270000," ","int(((-11+3*x)*exp(x)*ln(9*x^2-66*x+121)-6*exp(x))/(-11+3*x)/exp(25)/ln(9*x^2-66*x+121)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{-25} {\mathrm e}^{x}}{\ln \left(\left(-11+3 x \right)^{2}\right)}$&$18$\\ norman&$\frac{{\mathrm e}^{-25} {\mathrm e}^{x}}{\ln \left(9 x^{2}-66 x +121\right)}$&$21$\\ risch&$\frac{2 i {\mathrm e}^{x -25}}{\pi  \mathrm{csgn}\left(i \left(x -\frac{11}{3}\right)\right)^{2} \mathrm{csgn}\left(i \left(x -\frac{11}{3}\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(x -\frac{11}{3}\right)\right) \mathrm{csgn}\left(i \left(x -\frac{11}{3}\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(x -\frac{11}{3}\right)^{2}\right)^{3}+4 i \ln \left(x -\frac{11}{3}\right)}$&$72$\\ \hline \end{longtable}"," ",0,"1/exp(25)*exp(x)/ln((-11+3*x)^2)","A"
7793,1,42,24,0.159000," ","int(((3*x^3*ln(x)-x^3)*ln(-1/4*exp(x)/x)+(5*x-5)*ln(x)^2+(-x^4+10*x^3)*ln(x)-3*x^3)/(25*x*ln(x)^2-10*x^4*ln(x)+x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(x \right)^{2}+\left(-\ln \left(-\frac{{\mathrm e}^{x}}{4 x}\right)+x -\ln \left(x \right)-3\right) \ln \left(x \right)-x \ln \left(x \right)}{x^{3}-5 \ln \left(x \right)}$&$42$\\ risch&$-\frac{x^{3} \ln \left({\mathrm e}^{x}\right)}{5 \left(x^{3}-5 \ln \left(x \right)\right)}+\frac{-i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)-i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)+2 i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{2}+i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x}\right)^{3}-2 i \pi  \,x^{3}+4 x^{3} \ln \left(2\right)+2 x^{4}-6 x^{3}+10 \ln \left(x \right)^{2}-10 x \ln \left(x \right)}{10 x^{3}-50 \ln \left(x \right)}$&$182$\\ \hline \end{longtable}"," ",0,"(ln(x)^2+(-ln(-1/4*exp(x)/x)+x-ln(x)-3)*ln(x)-x*ln(x))/(x^3-5*ln(x))","A"
7794,1,32,23,0.026000," ","int((2*ln(x)^2-8*x*ln(x)+4*x^2+2*x)*exp(((3*x-2)*ln(x)-6*x^2+2*x)/(x*ln(x)-2*x^2))/(x^2*ln(x)^2-4*x^3*ln(x)+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{3 x \ln \left(x \right)-6 x^{2}-2 \ln \left(x \right)+2 x}{x \left(\ln \left(x \right)-2 x \right)}}$&$32$\\ \hline \end{longtable}"," ",0,"exp((3*x*ln(x)-6*x^2-2*ln(x)+2*x)/x/(ln(x)-2*x))","A"
7795,1,24,20,0.037000," ","int(1/9*(9*x^2*ln(x)+(6*x^5+4*x^4+x^2)*exp(2*x^3+2*x^2)+9*x^2-9)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x \,{\mathrm e}^{2 x^{3}+2 x^{2}}}{9}+\frac{1}{x}+x \ln \left(x \right)$&$24$\\ risch&$x \ln \left(x \right)+\frac{{\mathrm e}^{2 \left(x +1\right) x^{2}} x^{2}+9}{9 x}$&$26$\\ \hline \end{longtable}"," ",0,"1/9*x*exp(2*x^3+2*x^2)+1/x+x*ln(x)","A"
7796,1,33,26,0.138000," ","int((((2*x^2+6*x)*exp(3*exp(5)^2-5)-2*x^3-6*x^2+2*x+3)*exp(exp(3*exp(5)^2-5)^2-2*x*exp(3*exp(5)^2-5)+x^2)+x^2-10*x-15)/(exp(exp(3*exp(5)^2-5)^2-2*x*exp(3*exp(5)^2-5)+x^2)^2+(2*x-10)*exp(exp(3*exp(5)^2-5)^2-2*x*exp(3*exp(5)^2-5)+x^2)+x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(3+x \right) x}{x +{\mathrm e}^{{\mathrm e}^{6 \,{\mathrm e}^{10}-10}-2 x \,{\mathrm e}^{3 \,{\mathrm e}^{10}-5}+x^{2}}-5}$&$33$\\ norman&$\frac{x^{2}-3 \,{\mathrm e}^{{\mathrm e}^{6 \,{\mathrm e}^{10}-10}-2 x \,{\mathrm e}^{3 \,{\mathrm e}^{10}-5}+x^{2}}+15}{x +{\mathrm e}^{{\mathrm e}^{6 \,{\mathrm e}^{10}-10}-2 x \,{\mathrm e}^{3 \,{\mathrm e}^{10}-5}+x^{2}}-5}$&$70$\\ \hline \end{longtable}"," ",0,"(3+x)*x/(x+exp(exp(6*exp(10)-10)-2*x*exp(3*exp(10)-5)+x^2)-5)","A"
7797,1,35,22,0.618000," ","int((-2*x*ln(1/2*((2*x*exp(5)+2*x)*ln(2)-5*x*exp(5)-5*x)/ln(2))+4+x)/(x^4+12*x^3+48*x^2+64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(\frac{\left(2 x \,{\mathrm e}^{5}+2 x \right) \ln \left(2\right)-5 x \,{\mathrm e}^{5}-5 x}{2 \ln \left(2\right)}\right)}{\left(4+x \right)^{2}}$&$35$\\ risch&$\frac{\ln \left(\frac{\left(2 x \,{\mathrm e}^{5}+2 x \right) \ln \left(2\right)-5 x \,{\mathrm e}^{5}-5 x}{2 \ln \left(2\right)}\right)}{x^{2}+8 x +16}$&$40$\\ derivativedivides&$\text{Expression too large to display}$&$150067$\\ default&$\text{Expression too large to display}$&$150067$\\ \hline \end{longtable}"," ",0,"ln(1/2*((2*x*exp(5)+2*x)*ln(2)-5*x*exp(5)-5*x)/ln(2))/(4+x)^2","A"
7798,1,24,25,0.041000," ","int(((x^2*exp((-x^2+x-4)/x)-x^3)*ln(exp((-x^2+x-4)/x)-x)+(4*x^2-16)*exp((-x^2+x-4)/x)+4*x^2)/(x^2*exp((-x^2+x-4)/x)-x^3)/ln(exp((-x^2+x-4)/x)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -4 \ln \left(\ln \left({\mathrm e}^{\frac{-x^{2}+x -4}{x}}-x \right)\right)$&$24$\\ risch&$x -4 \ln \left(\ln \left({\mathrm e}^{-\frac{x^{2}-x +4}{x}}-x \right)\right)$&$25$\\ \hline \end{longtable}"," ",0,"x-4*ln(ln(exp((-x^2+x-4)/x)-x))","A"
7799,1,10,14,0.013000," ","int(1/2*(-3*x-3)*exp(x)-1/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{2}-\frac{3 \,{\mathrm e}^{x} x}{2}$&$10$\\ norman&$-\frac{x}{2}-\frac{3 \,{\mathrm e}^{x} x}{2}$&$10$\\ risch&$-\frac{x}{2}-\frac{3 \,{\mathrm e}^{x} x}{2}$&$10$\\ \hline \end{longtable}"," ",0,"-1/2*x-3/2*exp(x)*x","A"
7800,1,25,19,0.291000," ","int((((-x^2+x)*exp(4)+34*x)*ln(x*exp(5))^2+((2*x^2+2*x)*exp(4)-34*x-34)*ln(x*exp(5)))/(x^4+3*x^3+3*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x \,{\mathrm e}^{4}-17\right) \ln \left(x \,{\mathrm e}^{5}\right)^{2}}{x^{2}+2 x +1}$&$25$\\ norman&$\frac{x \,{\mathrm e}^{4} \ln \left(x \,{\mathrm e}^{5}\right)^{2}-17 \ln \left(x \,{\mathrm e}^{5}\right)^{2}}{\left(x +1\right)^{2}}$&$28$\\ derivativedivides&\verb|error in convert/parfrac: numeric exception: division by zero\|& N/A\\ \hline \end{longtable}"," ",0,"(x*exp(4)-17)/(x^2+2*x+1)*ln(x*exp(5))^2","A"
7801,1,27,23,0.207000," ","int(1/5*((-20*ln(2)*exp(x-4)*exp(exp(x-4))+20*ln(2)*exp(x+1))*exp(exp(x+1))+12*ln(2)*exp(x-4)*exp(exp(x-4)))/exp(exp(exp(x-4))+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(20 \ln \left(2\right) {\mathrm e}^{{\mathrm e}^{x +1}}-12 \ln \left(2\right)\right) {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x -4}}-3}}{5}$&$27$\\ norman&$\left(4 \ln \left(2\right) {\mathrm e}^{{\mathrm e}^{5} {\mathrm e}^{x -4}}-\frac{12 \ln \left(2\right)}{5}\right) {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x -4}}-3}$&$29$\\ \hline \end{longtable}"," ",0,"1/5*(20*ln(2)*exp(exp(x+1))-12*ln(2))*exp(-exp(exp(x-4))-3)","A"
7802,1,30,24,0.263000," ","int((((-256*x^2+32*x+64)*ln(x)^2+(-512*x^3+48*x^2)*ln(x)+256*x^3-16*x^2)*exp(((-16*x^2-64*x)*ln(x)-16*x^3)/(16*x-1)/ln(x))+(256*x^2-32*x+1)*ln(x)^2)/(256*x^2-32*x+1)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-\frac{16 x \left(x \ln \left(x \right)+x^{2}+4 \ln \left(x \right)\right)}{\left(16 x -1\right) \ln \left(x \right)}}$&$30$\\ \hline \end{longtable}"," ",0,"x+exp(-16*x*(x*ln(x)+x^2+4*ln(x))/(16*x-1)/ln(x))","A"
7803,0,0,30,0.061000," ","int(1/2*((-4*x^2*exp(5)*ln(x/exp(1/4*x))+(-x^3+4*x^2)*exp(5))*ln(3*x/ln(x/exp(1/4*x)))-4*ln(x/exp(1/4*x)))/x^3/exp(5)/ln(x/exp(1/4*x)),x)","\[\int \frac{\left(\left(-4 x^{2} {\mathrm e}^{5} \ln \left(x \,{\mathrm e}^{-\frac{x}{4}}\right)+\left(-x^{3}+4 x^{2}\right) {\mathrm e}^{5}\right) \ln \left(\frac{3 x}{\ln \left(x \,{\mathrm e}^{-\frac{x}{4}}\right)}\right)-4 \ln \left(x \,{\mathrm e}^{-\frac{x}{4}}\right)\right) {\mathrm e}^{-5}}{2 x^{3} \ln \left(x \,{\mathrm e}^{-\frac{x}{4}}\right)}\, dx\]"," ",0,"int(1/2*((-4*x^2*exp(5)*ln(x/exp(1/4*x))+(-x^3+4*x^2)*exp(5))*ln(3*x/ln(x/exp(1/4*x)))-4*ln(x/exp(1/4*x)))/x^3/exp(5)/ln(x/exp(1/4*x)),x)","F"
7804,1,16,23,0.020000," ","int(-216*ln(ln(1-x))/((x-1)*ln(1-x)*ln(ln(1-x))^4+(18*x-18)*ln(1-x)*ln(ln(1-x))^2+(81*x-81)*ln(1-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{108}{\ln \left(\ln \left(1-x \right)\right)^{2}+9}$&$16$\\ \hline \end{longtable}"," ",0,"108/(ln(ln(1-x))^2+9)","A"
7805,1,95,30,0.240000," ","int((-exp(4)^3+(-3*x^4+6*x^3-3*x^2-9)*exp(4)^2+(-3*x^8+12*x^7-18*x^6+12*x^5+3*x^4-6*x^2-15)*exp(4)-x^12+6*x^11-15*x^10+20*x^9-42*x^7+53*x^6-24*x^5+12*x^4+66*x^3-111*x^2+36*x-7)/(exp(4)^3+(3*x^4-6*x^3+3*x^2+3)*exp(4)^2+(3*x^8-12*x^7+18*x^6-12*x^5+9*x^4-12*x^3+6*x^2+3)*exp(4)+x^12-6*x^11+15*x^10-20*x^9+18*x^8-18*x^7+19*x^6-12*x^5+6*x^4-6*x^3+3*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{-9-6 x^{5}+12 x^{4}-6 x^{3}+\left(-6 \,{\mathrm e}^{4}-6\right) x}{x^{8}-4 x^{7}+6 x^{6}+2 x^{4} {\mathrm e}^{4}-4 x^{5}-4 x^{3} {\mathrm e}^{4}+3 x^{4}+2 x^{2} {\mathrm e}^{4}-4 x^{3}+{\mathrm e}^{8}+2 x^{2}+2 \,{\mathrm e}^{4}+1}$&$95$\\ norman&$\frac{-20 x^{6}+10 x^{7}+\left(7-2 \,{\mathrm e}^{4}\right) x^{5}+\left(-{\mathrm e}^{8}-8 \,{\mathrm e}^{4}-7\right) x +\left(-8 \,{\mathrm e}^{4}-8\right) x^{2}+\left(-4 \,{\mathrm e}^{4}+4\right) x^{4}+\left(14 \,{\mathrm e}^{4}+8\right) x^{3}-x^{9}-4 \,{\mathrm e}^{8}-8 \,{\mathrm e}^{4}-13}{\left(x^{4}-2 x^{3}+x^{2}+{\mathrm e}^{4}+1\right)^{2}}$&$100$\\ gosper&$-\frac{x^{9}-10 x^{7}+2 x^{5} {\mathrm e}^{4}+20 x^{6}+4 x^{4} {\mathrm e}^{4}-7 x^{5}-14 x^{3} {\mathrm e}^{4}-4 x^{4}+x \,{\mathrm e}^{8}+8 x^{2} {\mathrm e}^{4}-8 x^{3}+4 \,{\mathrm e}^{8}+8 x \,{\mathrm e}^{4}+8 x^{2}+8 \,{\mathrm e}^{4}+7 x +13}{x^{8}-4 x^{7}+6 x^{6}+2 x^{4} {\mathrm e}^{4}-4 x^{5}-4 x^{3} {\mathrm e}^{4}+3 x^{4}+2 x^{2} {\mathrm e}^{4}-4 x^{3}+{\mathrm e}^{8}+2 x^{2}+2 \,{\mathrm e}^{4}+1}$&$156$\\ \hline \end{longtable}"," ",0,"-x+(-9-6*x^5+12*x^4-6*x^3+(-6*exp(4)-6)*x)/(x^8-4*x^7+6*x^6+2*x^4*exp(4)-4*x^5-4*x^3*exp(4)+3*x^4+2*x^2*exp(4)-4*x^3+exp(8)+2*x^2+2*exp(4)+1)","B"
7806,1,31,27,0.031000," ","int(1/5*x*ln(1/4*x/ln(2)^2)-2/5*x^3+9/10*x^2-39/10*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -2 x^{2}+\frac{3 x^{3}}{10}-\frac{x^{4}}{10}+\frac{x^{2} \ln \left(\frac{x}{4 \ln \left(2\right)^{2}}\right)}{10}$&$31$\\ norman&$x -2 x^{2}+\frac{3 x^{3}}{10}-\frac{x^{4}}{10}+\frac{x^{2} \ln \left(\frac{x}{4 \ln \left(2\right)^{2}}\right)}{10}$&$31$\\ risch&$x -2 x^{2}+\frac{3 x^{3}}{10}-\frac{x^{4}}{10}+\frac{x^{2} \ln \left(\frac{x}{4 \ln \left(2\right)^{2}}\right)}{10}$&$31$\\ derivativedivides&$\frac{4 \ln \left(2\right)^{2} \left(\frac{5 x}{4 \ln \left(2\right)^{2}}-\frac{5 x^{2}}{2 \ln \left(2\right)^{2}}+\frac{3 x^{3}}{8 \ln \left(2\right)^{2}}-\frac{x^{4}}{8 \ln \left(2\right)^{2}}+\frac{x^{2} \ln \left(\frac{x}{4 \ln \left(2\right)^{2}}\right)}{8 \ln \left(2\right)^{2}}\right)}{5}$&$59$\\ \hline \end{longtable}"," ",0,"x-2*x^2+3/10*x^3-1/10*x^4+1/10*x^2*ln(1/4*x/ln(2)^2)","A"
7807,1,9,9,0.015000," ","int(1/8*(4+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(x \right)}{2}+\frac{x}{8}$&$9$\\ norman&$\frac{\ln \left(x \right)}{2}+\frac{x}{8}$&$9$\\ risch&$\frac{\ln \left(x \right)}{2}+\frac{x}{8}$&$9$\\ \hline \end{longtable}"," ",0,"1/2*ln(x)+1/8*x","A"
7808,1,32,16,0.028000," ","int((2*x^2+2*x)*exp(x)^2+(-4*x^3-12*x^2)*exp(x)+16*x^3+12*x^2-32*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{2 x} x^{2}-4 \,{\mathrm e}^{x} x^{3}-16 x^{2}+4 x^{3}+4 x^{4}$&$32$\\ norman&${\mathrm e}^{2 x} x^{2}-4 \,{\mathrm e}^{x} x^{3}-16 x^{2}+4 x^{3}+4 x^{4}$&$32$\\ risch&${\mathrm e}^{2 x} x^{2}-4 \,{\mathrm e}^{x} x^{3}-16 x^{2}+4 x^{3}+4 x^{4}$&$32$\\ \hline \end{longtable}"," ",0,"exp(x)^2*x^2-4*exp(x)*x^3-16*x^2+4*x^3+4*x^4","A"
7809,1,29,28,0.312000," ","int(((25*x*exp(3)^2+(-50*x^2+25*x)*exp(3)+25*x^3-25*x^2)*ln((-x+exp(3))/(exp(3)-x+1))^2-25*x^2*ln((-x+exp(3))/(exp(3)-x+1)))*exp(25*x^2*ln((-x+exp(3))/(exp(3)-x+1))^2)*exp(exp(25*x^2*ln((-x+exp(3))/(exp(3)-x+1))^2))/(8*exp(3)^2+(-16*x+8)*exp(3)+8*x^2-8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{{\mathrm e}^{25 x^{2} \ln \left(\frac{-x +{\mathrm e}^{3}}{{\mathrm e}^{3}-x +1}\right)^{2}}}}{16}$&$29$\\ \hline \end{longtable}"," ",0,"1/16*exp(exp(25*x^2*ln((-x+exp(3))/(exp(3)-x+1))^2))","A"
7810,1,3055,33,0.862000," ","int(((1-x)*ln(exp(1)^2/(x^4-x^3))*ln(ln(exp(1)^2/(x^4-x^3))/exp(2*x))+(-2*x^2+2*x)*ln(exp(1)^2/(x^4-x^3))+3-4*x)/(x-1)/ln(exp(1)^2/(x^4-x^3))/ln(ln(exp(1)^2/(x^4-x^3))/exp(2*x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$3055$\\ \hline \end{longtable}"," ",0,"-2*I*x/(Pi*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2-Pi*csgn(I/x^3)*csgn(I/(x-1))*csgn(I/x^3/(x-1))+Pi*csgn(I/x^3)*csgn(I/x^3/(x-1))^2+Pi*csgn(I/(x-1))*csgn(I/x^3/(x-1))^2-Pi*csgn(I/x^3/(x-1))^3+Pi*csgn(I*x^3)^3+6*I*ln(x)+2*I*ln(x-1)-4*I))*csgn(I*exp(-2*x))*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2-Pi*csgn(I/x^3)*csgn(I/(x-1))*csgn(I/x^3/(x-1))+Pi*csgn(I/x^3)*csgn(I/x^3/(x-1))^2+Pi*csgn(I/(x-1))*csgn(I/x^3/(x-1))^2-Pi*csgn(I/x^3/(x-1))^3+Pi*csgn(I*x^3)^3+6*I*ln(x)+2*I*ln(x-1)-4*I)*exp(-2*x))+Pi*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2-Pi*csgn(I/x^3)*csgn(I/(x-1))*csgn(I/x^3/(x-1))+Pi*csgn(I/x^3)*csgn(I/x^3/(x-1))^2+Pi*csgn(I/(x-1))*csgn(I/x^3/(x-1))^2-Pi*csgn(I/x^3/(x-1))^3+Pi*csgn(I*x^3)^3+6*I*ln(x)+2*I*ln(x-1)-4*I))*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2-Pi*csgn(I/x^3)*csgn(I/(x-1))*csgn(I/x^3/(x-1))+Pi*csgn(I/x^3)*csgn(I/x^3/(x-1))^2+Pi*csgn(I/(x-1))*csgn(I/x^3/(x-1))^2-Pi*csgn(I/x^3/(x-1))^3+Pi*csgn(I*x^3)^3+6*I*ln(x)+2*I*ln(x-1)-4*I)*exp(-2*x))^2-Pi*csgn(I*exp(-2*x))*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2-Pi*csgn(I/x^3)*csgn(I/(x-1))*csgn(I/x^3/(x-1))+Pi*csgn(I/x^3)*csgn(I/x^3/(x-1))^2+Pi*csgn(I/(x-1))*csgn(I/x^3/(x-1))^2-Pi*csgn(I/x^3/(x-1))^3+Pi*csgn(I*x^3)^3+6*I*ln(x)+2*I*ln(x-1)-4*I)*exp(-2*x))^2-Pi*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2-Pi*csgn(I/x^3)*csgn(I/(x-1))*csgn(I/x^3/(x-1))+Pi*csgn(I/x^3)*csgn(I/x^3/(x-1))^2+Pi*csgn(I/(x-1))*csgn(I/x^3/(x-1))^2-Pi*csgn(I/x^3/(x-1))^3+Pi*csgn(I*x^3)^3+6*I*ln(x)+2*I*ln(x-1)-4*I)*exp(-2*x))^3+Pi*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2-Pi*csgn(I/x^3)*csgn(I/(x-1))*csgn(I/x^3/(x-1))+Pi*csgn(I/x^3)*csgn(I/x^3/(x-1))^2+Pi*csgn(I/(x-1))*csgn(I/x^3/(x-1))^2-Pi*csgn(I/x^3/(x-1))^3+Pi*csgn(I*x^3)^3+6*I*ln(x)+2*I*ln(x-1)-4*I)*exp(-2*x))*csgn(exp(-2*x)*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2-Pi*csgn(I/x^3)*csgn(I/(x-1))*csgn(I/x^3/(x-1))+Pi*csgn(I/x^3)*csgn(I/x^3/(x-1))^2+Pi*csgn(I/(x-1))*csgn(I/x^3/(x-1))^2-Pi*csgn(I/x^3/(x-1))^3+Pi*csgn(I*x^3)^3+6*I*ln(x)+2*I*ln(x-1)-4*I))^2+Pi*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2-Pi*csgn(I/x^3)*csgn(I/(x-1))*csgn(I/x^3/(x-1))+Pi*csgn(I/x^3)*csgn(I/x^3/(x-1))^2+Pi*csgn(I/(x-1))*csgn(I/x^3/(x-1))^2-Pi*csgn(I/x^3/(x-1))^3+Pi*csgn(I*x^3)^3+6*I*ln(x)+2*I*ln(x-1)-4*I)*exp(-2*x))*csgn(exp(-2*x)*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2-Pi*csgn(I/x^3)*csgn(I/(x-1))*csgn(I/x^3/(x-1))+Pi*csgn(I/x^3)*csgn(I/x^3/(x-1))^2+Pi*csgn(I/(x-1))*csgn(I/x^3/(x-1))^2-Pi*csgn(I/x^3/(x-1))^3+Pi*csgn(I*x^3)^3+6*I*ln(x)+2*I*ln(x-1)-4*I))-Pi*csgn(exp(-2*x)*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2-Pi*csgn(I/x^3)*csgn(I/(x-1))*csgn(I/x^3/(x-1))+Pi*csgn(I/x^3)*csgn(I/x^3/(x-1))^2+Pi*csgn(I/(x-1))*csgn(I/x^3/(x-1))^2-Pi*csgn(I/x^3/(x-1))^3+Pi*csgn(I*x^3)^3+6*I*ln(x)+2*I*ln(x-1)-4*I))^3-Pi*csgn(exp(-2*x)*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2-Pi*csgn(I/x^3)*csgn(I/(x-1))*csgn(I/x^3/(x-1))+Pi*csgn(I/x^3)*csgn(I/x^3/(x-1))^2+Pi*csgn(I/(x-1))*csgn(I/x^3/(x-1))^2-Pi*csgn(I/x^3/(x-1))^3+Pi*csgn(I*x^3)^3+6*I*ln(x)+2*I*ln(x-1)-4*I))^2+Pi-2*I*ln(2)+2*I*ln(4*I-Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+Pi*csgn(I/x^3)*csgn(I/(x-1))*csgn(I/x^3/(x-1))-Pi*csgn(I*x^2)^3-Pi*csgn(I*x^3)^3+Pi*csgn(I/x^3/(x-1))^3-2*I*ln(x-1)-6*I*ln(x)-Pi*csgn(I/x^3)*csgn(I/x^3/(x-1))^2-Pi*csgn(I/(x-1))*csgn(I/x^3/(x-1))^2-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)*csgn(I*x^3)^2)-2*I*ln(exp(2*x)))","C"
7811,1,21,18,0.102000," ","int(((32*x^2*ln(2)+144*x)*ln(2*x*ln(2)+9)+2*(72*x^2+x)*ln(2)+576*x+9)/((16*x^3*ln(2)+72*x^2)*ln(2*x*ln(2)+9)+2*(32*x^3+x^2)*ln(2)+288*x^2+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)+\ln \left(8 x \ln \left(2 x \ln \left(2\right)+9\right)+32 x +1\right)$&$21$\\ risch&$2 \ln \left(x \right)+\ln \left(\ln \left(2 x \ln \left(2\right)+9\right)+\frac{32 x +1}{8 x}\right)$&$26$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(8*x*ln(2*x*ln(2)+9)+32*x+1)","A"
7812,1,14,20,0.024000," ","int(((-2*x^2-3*x)*ln(x)*ln(ln(x))+1)/x/ln(x)/ln(ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x +\ln \left(\ln \left(\ln \left(x \right)\right)\right)-x^{2}$&$14$\\ norman&$-3 x +\ln \left(\ln \left(\ln \left(x \right)\right)\right)-x^{2}$&$14$\\ risch&$-3 x +\ln \left(\ln \left(\ln \left(x \right)\right)\right)-x^{2}$&$14$\\ \hline \end{longtable}"," ",0,"-3*x+ln(ln(ln(x)))-x^2","A"
7813,1,5,20,0.013000," ","int(5*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$5 \,{\mathrm e}^{x}$&$5$\\ derivativedivides&$5 \,{\mathrm e}^{x}$&$5$\\ default&$5 \,{\mathrm e}^{x}$&$5$\\ norman&$5 \,{\mathrm e}^{x}$&$5$\\ risch&$5 \,{\mathrm e}^{x}$&$5$\\ meijerg&$-5+5 \,{\mathrm e}^{x}$&$7$\\ \hline \end{longtable}"," ",0,"5*exp(x)","A"
7814,1,21,20,0.038000," ","int((((3*x^3+12*x^2)*ln(4+x)-3*x^4-9*x^3+12*x^2)*ln(ln(4+x)-x+1)^2+(-2*x^4-6*x^3)*ln(ln(4+x)-x+1)+(-x-4)*ln(4+x)+x^2+3*x-4)/((4+x)*ln(4+x)-x^2-3*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3} \ln \left(\ln \left(4+x \right)-x +1\right)^{2}-x$&$21$\\ \hline \end{longtable}"," ",0,"x^3*ln(ln(4+x)-x+1)^2-x","A"
7815,1,23,29,0.021000," ","int(1/10*(48*x-18)*exp(1)-54/5*x^2+27/5*x-9/10,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{3 x \left(8 x \,{\mathrm e}-12 x^{2}-6 \,{\mathrm e}+9 x -3\right)}{10}$&$23$\\ norman&$\left(-\frac{9 \,{\mathrm e}}{5}-\frac{9}{10}\right) x +\left(\frac{12 \,{\mathrm e}}{5}+\frac{27}{10}\right) x^{2}-\frac{18 x^{3}}{5}$&$25$\\ risch&$\frac{12 x^{2} {\mathrm e}}{5}-\frac{9 x \,{\mathrm e}}{5}-\frac{18 x^{3}}{5}+\frac{27 x^{2}}{10}-\frac{9 x}{10}$&$27$\\ default&$\frac{{\mathrm e} \left(24 x^{2}-18 x \right)}{10}-\frac{18 x^{3}}{5}+\frac{27 x^{2}}{10}-\frac{9 x}{10}$&$28$\\ \hline \end{longtable}"," ",0,"3/10*x*(8*x*exp(1)-12*x^2-6*exp(1)+9*x-3)","A"
7816,1,15,18,0.037000," ","int((x*exp(2)*exp(x)*ln(ln(x))^2-exp(2)*exp(x)*ln(ln(x))+exp(2)*exp(x))/x/ln(ln(x))^2/exp(ln(x)/ln(ln(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{-\frac{1}{\ln \left(\ln \left(x \right)\right)}} {\mathrm e}^{2+x}$&$15$\\ \hline \end{longtable}"," ",0,"1/(x^(1/ln(ln(x))))*exp(2+x)","A"
7817,1,29,26,0.087000," ","int((((exp(x)*exp(4*x)-2*exp(x))*exp(exp(x))+exp(4*x)-2)*ln(-exp(4*x)+2)^2+(((2*exp(x)^2*exp(4*x)-4*exp(x)^2)*ln(x)+4*exp(x)^2*exp(4*x)-8*exp(x)^2)*exp(exp(x))+(2*exp(x)*exp(4*x)-4*exp(x))*ln(x)+(4*exp(x)+1)*exp(4*x)-8*exp(x)-2)*ln(-exp(4*x)+2)+((exp(x)^3*exp(4*x)-2*exp(x)^3)*ln(x)^2+(4*exp(x)^3*exp(4*x)-8*exp(x)^3)*ln(x)+4*exp(x)^3*exp(4*x)-8*exp(x)^3)*exp(exp(x))+(exp(x)^2*exp(4*x)-2*exp(x)^2)*ln(x)^2+((4*exp(x)^2+(1-x)*exp(x))*exp(4*x)-8*exp(x)^2+(2*x-2)*exp(x))*ln(x)+(4*exp(x)^2+(1-2*x)*exp(x)-4*x)*exp(4*x)-8*exp(x)^2+(4*x-2)*exp(x))/((exp(4*x)-2)*ln(-exp(4*x)+2)^2+((2*exp(x)*exp(4*x)-4*exp(x))*ln(x)+4*exp(x)*exp(4*x)-8*exp(x))*ln(-exp(4*x)+2)+(exp(x)^2*exp(4*x)-2*exp(x)^2)*ln(x)^2+(4*exp(x)^2*exp(4*x)-8*exp(x)^2)*ln(x)+4*exp(x)^2*exp(4*x)-8*exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{{\mathrm e}^{x}}+\frac{x}{{\mathrm e}^{x} \ln \left(x \right)+2 \,{\mathrm e}^{x}+\ln \left(-{\mathrm e}^{4 x}+2\right)}$&$29$\\ \hline \end{longtable}"," ",0,"x+exp(exp(x))+x/(exp(x)*ln(x)+2*exp(x)+ln(-exp(4*x)+2))","A"
7818,1,30,23,0.160000," ","int(((2*x^2*exp(1)^2+28*x^2*exp(1)-x^4+86*x^2-36)*exp((exp(1)^2+14*exp(1)+49)/(x^2+6))+4*x^5+4*x^4+48*x^3+48*x^2+144*x+144)/(x^4+12*x^2+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2}-x \,{\mathrm e}^{\frac{{\mathrm e}^{2}+14 \,{\mathrm e}+49}{x^{2}+6}}+4 x$&$30$\\ norman&$\frac{24 x +4 x^{3}+2 x^{4}-6 x \,{\mathrm e}^{\frac{{\mathrm e}^{2}+14 \,{\mathrm e}+49}{x^{2}+6}}-{\mathrm e}^{\frac{{\mathrm e}^{2}+14 \,{\mathrm e}+49}{x^{2}+6}} x^{3}-72}{x^{2}+6}$&$70$\\ \hline \end{longtable}"," ",0,"2*x^2-x*exp((exp(2)+14*exp(1)+49)/(x^2+6))+4*x","A"
7819,1,25,27,0.101000," ","int(((-x^3-2*x^2+2*x)*exp((-x^2+2*x)/(2*x+2))*ln(x)^2+((-2*x^4-4*x^3+4*x^2)*exp((-x^2+2*x)/(2*x+2))-2*x^3-4*x^2-2*x)*ln(x)+(-x^5-2*x^4+2*x^3)*exp((-x^2+2*x)/(2*x+2))+1244*x^3+3730*x^2+3728*x+1242)/((2*x^3+4*x^2+2*x)*ln(x)^2+(4*x^4+8*x^3+4*x^2)*ln(x)+2*x^5+4*x^4+2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{\left(x -2\right) x}{2 \left(x +1\right)}}-\frac{621+x}{x +\ln \left(x \right)}$&$25$\\ \hline \end{longtable}"," ",0,"exp(-1/2*(x-2)*x/(x+1))-(621+x)/(x+ln(x))","A"
7820,1,42,22,0.511000," ","int((4*ln(-130/exp(4+x))^2-ln(-130/exp(4+x))+x)/((4*x^2+16*x+16)*ln(-130/exp(4+x))^2+(-4*x-8)*ln(-130/exp(4+x))+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{1}{2}-2 \ln \left(-130 \,{\mathrm e}^{-x -4}\right)}{2 \ln \left(-130 \,{\mathrm e}^{-x -4}\right) x +4 \ln \left(-130 \,{\mathrm e}^{-x -4}\right)-1}$&$42$\\ default&$\frac{-\frac{1}{4}+\ln \left(-130 \,{\mathrm e}^{-x -4}\right)}{x^{2}+x \left(\ln \left({\mathrm e}^{4+x}\right)-4-x \right)-x \left(\ln \left(-130 \,{\mathrm e}^{-x -4}\right)+\ln \left({\mathrm e}^{4+x}\right)\right)+4 x +\frac{1}{2}-2 \ln \left(-130 \,{\mathrm e}^{-x -4}\right)}$&$64$\\ risch&$-\frac{1}{2+x}-\frac{i x}{2 \left(2+x \right) \left(-2 x \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x -4}\right)^{2}+2 x \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x -4}\right)^{3}-4 \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x -4}\right)^{2}+4 \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x -4}\right)^{3}+2 \pi  x +4 \pi +4 i \ln \left({\mathrm e}^{4+x}\right)-4 i \ln \left(13\right)-4 i \ln \left(2\right)-4 i \ln \left(5\right)-2 i x \ln \left(13\right)-2 i \ln \left(5\right) x -2 i x \ln \left(2\right)+2 i x \ln \left({\mathrm e}^{4+x}\right)+i\right)}$&$142$\\ \hline \end{longtable}"," ",0,"(1/2-2*ln(-130/exp(4+x)))/(2*ln(-130/exp(4+x))*x+4*ln(-130/exp(4+x))-1)","A"
7821,1,27,24,0.060000," ","int(((2*x^2*exp(1/2)+8*x^5+2*x^4)*exp(3)-5*exp(1/2)+40*x^3+5*x^2)/(x*exp(1/2)+4*x^4+x^3)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-5 \,{\mathrm e}^{-3} \ln \left(x \right)+5 \,{\mathrm e}^{-3} \ln \left(4 x^{3}+x^{2}+{\mathrm e}^{\frac{1}{2}}\right)$&$27$\\ default&${\mathrm e}^{-3} \left(x^{2} {\mathrm e}^{3}-5 \ln \left(x \right)+5 \ln \left(4 x^{3}+x^{2}+{\mathrm e}^{\frac{1}{2}}\right)\right)$&$31$\\ norman&$x^{2}-5 \,{\mathrm e}^{-3} \ln \left(x \right)+5 \,{\mathrm e}^{-3} \ln \left(4 x^{3}+x^{2}+{\mathrm e}^{\frac{1}{2}}\right)$&$31$\\ \hline \end{longtable}"," ",0,"x^2-5*exp(-3)*ln(x)+5*exp(-3)*ln(4*x^3+x^2+exp(1/2))","A"
7822,1,24,24,0.068000," ","int((-8*x*exp(1/3/ln(4+x))+(-24*x^2-72*x+96)*ln(4+x)^2)*exp(-exp(1/3/ln(4+x))+x)/((3*x+12)*ln(4+x)^2*exp(-exp(1/3/ln(4+x))+x)^2+(-6*x^2-24*x)*ln(4+x)^2*exp(-exp(1/3/ln(4+x))+x)+(3*x^3+12*x^2)*ln(4+x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{8 x}{x -{\mathrm e}^{-{\mathrm e}^{\frac{1}{3 \ln \left(4+x \right)}}+x}}$&$24$\\ \hline \end{longtable}"," ",0,"-8*x/(x-exp(-exp(1/3/ln(4+x))+x))","A"
7823,1,21,24,0.029000," ","int(16/3*(-6*x^2-50*x+4)*ln(2)^4*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{16 \,{\mathrm e}^{2 x} \ln \left(2\right)^{4} \left(3 x^{2}+22 x -13\right)}{3}$&$21$\\ risch&$\frac{16 \ln \left(2\right)^{4} \left(-3 x^{2}-22 x +13\right) {\mathrm e}^{2 x}}{3}$&$21$\\ default&$\frac{32 \ln \left(2\right)^{4} \left(\frac{13 \,{\mathrm e}^{2 x}}{2}-11 x \,{\mathrm e}^{2 x}-\frac{3 \,{\mathrm e}^{2 x} x^{2}}{2}\right)}{3}$&$30$\\ norman&$\frac{208 \ln \left(2\right)^{4} {\mathrm e}^{2 x}}{3}-\frac{352 x \ln \left(2\right)^{4} {\mathrm e}^{2 x}}{3}-16 x^{2} \ln \left(2\right)^{4} {\mathrm e}^{2 x}$&$36$\\ meijerg&$-\frac{32 \ln \left(2\right)^{4} \left(1-{\mathrm e}^{2 x}\right)}{3}+4 \ln \left(2\right)^{4} \left(2-\frac{\left(12 x^{2}-12 x +6\right) {\mathrm e}^{2 x}}{3}\right)-\frac{200 \ln \left(2\right)^{4} \left(1-\frac{\left(-4 x +2\right) {\mathrm e}^{2 x}}{2}\right)}{3}$&$59$\\ \hline \end{longtable}"," ",0,"-16/3*exp(x)^2*ln(2)^4*(3*x^2+22*x-13)","A"
7824,1,15,18,0.045000," ","int((-4*ln(2)-1)*exp(x)*exp((4*x-5)*ln(2))+(10-x)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\left(2^{4 x -5}+x -11\right) {\mathrm e}^{x}$&$15$\\ norman&$-{\mathrm e}^{x} x -{\mathrm e}^{x} {\mathrm e}^{\left(4 x -5\right) \ln \left(2\right)}+11 \,{\mathrm e}^{x}$&$24$\\ default&$-{\mathrm e}^{x} x +11 \,{\mathrm e}^{x}-\frac{4 \,{\mathrm e}^{x +\left(4 x -5\right) \ln \left(2\right)} \ln \left(2\right)}{1+4 \ln \left(2\right)}-\frac{{\mathrm e}^{x +\left(4 x -5\right) \ln \left(2\right)}}{1+4 \ln \left(2\right)}$&$55$\\ meijerg&$-11+\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}+\frac{1-{\mathrm e}^{x \ln \left(2\right) \left(4+\frac{1}{\ln \left(2\right)}\right)}}{32+\frac{8}{\ln \left(2\right)}}+\frac{1-{\mathrm e}^{x \ln \left(2\right) \left(4+\frac{1}{\ln \left(2\right)}\right)}}{32 \ln \left(2\right) \left(4+\frac{1}{\ln \left(2\right)}\right)}+10 \,{\mathrm e}^{x}$&$70$\\ \hline \end{longtable}"," ",0,"-(2^(4*x-5)+x-11)*exp(x)","A"
7825,1,13,15,0.020000," ","int((10*x+2)*exp(5*x^2+2*x)+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x \left(5 x +2\right)}+x^{2}$&$13$\\ default&${\mathrm e}^{5 x^{2}+2 x}+x^{2}$&$15$\\ norman&${\mathrm e}^{5 x^{2}+2 x}+x^{2}$&$15$\\ \hline \end{longtable}"," ",0,"exp(x*(5*x+2))+x^2","A"
7826,1,31,26,0.043000," ","int(((((-exp(x)*x+x^3+x^2)*ln(-exp(x)+x^2+x)-exp(x)*x^2+2*x^3+x^2)*exp(x*ln(-exp(x)+x^2+x))+exp(x)-x^2-x)*exp(exp(x*ln(-exp(x)+x^2+x)))+(exp(3)-5)*exp(x)+(-x^2-x)*exp(3)+5*x^2+5*x)/(exp(x)*x^2-x^4-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{3}}{x}+\frac{5}{x}-\frac{{\mathrm e}^{\left(-{\mathrm e}^{x}+x^{2}+x \right)^{x}}}{x}$&$31$\\ \hline \end{longtable}"," ",0,"-exp(3)/x+5/x-1/x*exp((-exp(x)+x^2+x)^x)","A"
7827,1,17,22,0.231000," ","int((((x+exp(1))*exp(2)+x)*exp((exp(2)*ln(10*x*ln(2))+ln(x+exp(1)))/exp(2))+(-x*exp(1)-x^2)*exp(2))/(x*exp(1)+x^2)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +10 x \ln \left(2\right) \left(x +{\mathrm e}\right)^{{\mathrm e}^{-2}}$&$17$\\ norman&$-x +{\mathrm e}^{\left({\mathrm e}^{2} \ln \left(10 x \ln \left(2\right)\right)+\ln \left(x +{\mathrm e}\right)\right) {\mathrm e}^{-2}}$&$26$\\ default&${\mathrm e}^{-2} \left({\mathrm e}^{2} {\mathrm e}^{\left({\mathrm e}^{2} \ln \left(10 x \ln \left(2\right)\right)+\ln \left(x +{\mathrm e}\right)\right) {\mathrm e}^{-2}}-{\mathrm e}^{2} x \right)$&$36$\\ \hline \end{longtable}"," ",0,"-x+10*x*ln(2)*(x+exp(1))^exp(-2)","A"
7828,1,14,14,0.015000," ","int((-2*ln(x)-x*exp(5+x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)^{2}-{\mathrm e}^{5+x}$&$14$\\ norman&$-\ln \left(x \right)^{2}-{\mathrm e}^{5+x}$&$14$\\ risch&$-\ln \left(x \right)^{2}-{\mathrm e}^{5+x}$&$14$\\ \hline \end{longtable}"," ",0,"-ln(x)^2-exp(5+x)","A"
7829,1,17,20,0.260000," ","int((2*x^3-14*x^2+30*x-45)/(25*x^2-150*x+225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{25}-\frac{2 x}{25}+\frac{27}{25 \left(x -3\right)}$&$17$\\ risch&$\frac{x^{2}}{25}-\frac{2 x}{25}+\frac{27}{25 \left(x -3\right)}$&$17$\\ gosper&$\frac{x^{3}-5 x^{2}+45}{25 x -75}$&$18$\\ norman&$\frac{-\frac{1}{5} x^{2}+\frac{1}{25} x^{3}+\frac{9}{5}}{x -3}$&$19$\\ meijerg&$\frac{x}{5-\frac{5 x}{3}}+\frac{3 x \left(-\frac{2}{9} x^{2}-2 x +12\right)}{50 \left(1-\frac{x}{3}\right)}-\frac{14 x \left(-x +6\right)}{75 \left(1-\frac{x}{3}\right)}$&$47$\\ \hline \end{longtable}"," ",0,"1/25*x^2-2/25*x+27/25/(x-3)","A"
7830,1,304,24,0.382000," ","int(((3*x^3+x^2-94*x-120)*ln(4+3*x)*ln((-x+6)/(2*x+10)/ln(4+3*x))+(-33*x^2-44*x)*ln(4+3*x)+3*x^3-3*x^2-90*x)/(3*x^3+x^2-94*x-120)/ln(4+3*x)/ln((-x+6)/(2*x+10)/ln(4+3*x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 i x}{\pi  \,\mathrm{csgn}\left(i \left(x -6\right)\right) \mathrm{csgn}\left(\frac{i \left(x -6\right)}{5+x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x -6\right)\right) \mathrm{csgn}\left(\frac{i \left(x -6\right)}{5+x}\right) \mathrm{csgn}\left(\frac{i}{5+x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(4+3 x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x -6\right)}{5+x}\right) \mathrm{csgn}\left(\frac{i \left(x -6\right)}{\ln \left(4+3 x \right) \left(5+x \right)}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(4+3 x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x -6\right)}{\ln \left(4+3 x \right) \left(5+x \right)}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(x -6\right)}{5+x}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \left(x -6\right)}{5+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{5+x}\right)+\pi  \,\mathrm{csgn}\left(\frac{i \left(x -6\right)}{5+x}\right) \mathrm{csgn}\left(\frac{i \left(x -6\right)}{\ln \left(4+3 x \right) \left(5+x \right)}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x -6\right)}{\ln \left(4+3 x \right) \left(5+x \right)}\right)^{3}-2 \pi  \mathrm{csgn}\left(\frac{i \left(x -6\right)}{\ln \left(4+3 x \right) \left(5+x \right)}\right)^{2}+2 \pi +2 i \ln \left(2\right)-2 i \ln \left(x -6\right)+2 i \ln \left(\ln \left(4+3 x \right)\right)+2 i \ln \left(5+x \right)}$&$304$\\ \hline \end{longtable}"," ",0,"-2*I*x/(Pi*csgn(I*(x-6))*csgn(I/(5+x)*(x-6))^2-Pi*csgn(I*(x-6))*csgn(I/(5+x)*(x-6))*csgn(I/(5+x))-Pi*csgn(I/ln(4+3*x))*csgn(I/(5+x)*(x-6))*csgn(I/ln(4+3*x)*(x-6)/(5+x))+Pi*csgn(I/ln(4+3*x))*csgn(I/ln(4+3*x)*(x-6)/(5+x))^2-Pi*csgn(I/(5+x)*(x-6))^3+Pi*csgn(I/(5+x)*(x-6))^2*csgn(I/(5+x))+Pi*csgn(I/(5+x)*(x-6))*csgn(I/ln(4+3*x)*(x-6)/(5+x))^2+Pi*csgn(I/ln(4+3*x)*(x-6)/(5+x))^3-2*Pi*csgn(I/ln(4+3*x)*(x-6)/(5+x))^2+2*Pi+2*I*ln(2)-2*I*ln(x-6)+2*I*ln(ln(4+3*x))+2*I*ln(5+x))","C"
7831,1,17,19,0.019000," ","int((-9216*x^4+18*x^2-18*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2304 x^{4}+9 x^{2}-18 x +\ln \left(x \right)$&$17$\\ norman&$-2304 x^{4}+9 x^{2}-18 x +\ln \left(x \right)$&$17$\\ risch&$-2304 x^{4}+9 x^{2}-18 x +\ln \left(x \right)$&$17$\\ \hline \end{longtable}"," ",0,"-2304*x^4+9*x^2-18*x+ln(x)","A"
7832,1,34,29,0.065000," ","int(((((-4*x^4+12*x^3-2*x+6)*exp(x)^2+(-3*x^4+18*x^3-27*x^2)*exp(x))*ln(3-x)+(-12*x^4+36*x^3-6*x+18)*exp(x)^2+(-9*x^4+54*x^3-81*x^2)*exp(x))*ln(ln(3-x)+3)+(x^4+2*x)*exp(x)^2-3*exp(x)*x^3)/(((x^9-3*x^8+4*x^6-12*x^5+4*x^3-12*x^2)*exp(x)^2+(-6*x^8+18*x^7-12*x^5+36*x^4)*exp(x)+9*x^7-27*x^6)*ln(3-x)+(3*x^9-9*x^8+12*x^6-36*x^5+12*x^3-36*x^2)*exp(x)^2+(-18*x^8+54*x^7-36*x^5+108*x^4)*exp(x)+27*x^7-81*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x} \ln \left(\ln \left(3-x \right)+3\right)}{x \left({\mathrm e}^{x} x^{3}-3 x^{2}+2 \,{\mathrm e}^{x}\right)}$&$34$\\ \hline \end{longtable}"," ",0,"exp(x)/x/(exp(x)*x^3-3*x^2+2*exp(x))*ln(ln(3-x)+3)","A"
7833,1,32,21,0.057000," ","int(((12*exp(x)-4*x)*exp(exp(2*x))*ln(exp(x)-1/6*x^2+4)+((12*exp(x)-2*x^2+48)*exp(2*x)-12*exp(x)+4*x)*exp(exp(2*x)))*exp(ln(exp(x)-1/6*x^2+4)^2-2*ln(exp(x)-1/6*x^2+4)+1)/(6*exp(x)-x^2+24),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{{\mathrm e}^{2 x}+\ln \left({\mathrm e}^{x}-\frac{x^{2}}{6}+4\right)^{2}+1}}{\left({\mathrm e}^{x}-\frac{x^{2}}{6}+4\right)^{2}}$&$32$\\ \hline \end{longtable}"," ",0,"1/(exp(x)-1/6*x^2+4)^2*exp(exp(2*x)+ln(exp(x)-1/6*x^2+4)^2+1)","A"
7834,1,31,27,0.050000," ","int(((-24*x^3+72*x^2-60*x)*ln(1/5*x)^2+(8*x^3-24*x^2+18*x)*ln(1/5*x)-8*x^3+32*x^2-42*x+18)/(4*x^3-12*x^2+9*x)/ln(1/5*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-6 x +\frac{3}{2 x -3}+\frac{2 x}{\ln \left(\frac{x}{5}\right)}-\frac{2}{\ln \left(\frac{x}{5}\right)}$&$31$\\ default&$-6 x +\frac{3}{2 x -3}+\frac{2 x}{\ln \left(\frac{x}{5}\right)}-\frac{2}{\ln \left(\frac{x}{5}\right)}$&$31$\\ risch&$-\frac{3 \left(4 x^{2}-6 x -1\right)}{2 x -3}+\frac{2 x -2}{\ln \left(\frac{x}{5}\right)}$&$32$\\ norman&$\frac{6+30 \ln \left(\frac{x}{5}\right)-10 x +4 x^{2}-12 \ln \left(\frac{x}{5}\right) x^{2}}{\left(2 x -3\right) \ln \left(\frac{x}{5}\right)}$&$40$\\ \hline \end{longtable}"," ",0,"-6*x+3/(2*x-3)+2/ln(1/5*x)*x-2/ln(1/5*x)","A"
7835,1,41,28,0.383000," ","int((((5*x^2-10*x)*exp(4)^2+5*exp(4))*exp(2+x)+(-x^4+5*x^2+10*x)*exp(4)^2+(-2*x^2-5)*exp(4)-1)/(5*x^4*exp(4)^3+10*x^2*exp(4)^2+5*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2} {\mathrm e}^{4}-\frac{x^{3}}{5}-\frac{{\mathrm e}^{-4} \left(5 \,{\mathrm e}^{4}+1\right) x}{5}+{\mathrm e}^{2+x}}{1+x^{2} {\mathrm e}^{4}}$&$41$\\ risch&$-\frac{x \,{\mathrm e}^{-4}}{5}+\frac{\left(-5 x \,{\mathrm e}^{8}-5 \,{\mathrm e}^{8}\right) {\mathrm e}^{-8}}{5+5 x^{2} {\mathrm e}^{4}}+\frac{{\mathrm e}^{2+x}}{1+x^{2} {\mathrm e}^{4}}$&$46$\\ default&$-\frac{{\mathrm e}^{8} x \,{\mathrm e}^{-4}}{2 \left(x^{2} {\mathrm e}^{8}+{\mathrm e}^{4}\right)}-\frac{{\mathrm e}^{8} {\mathrm e}^{-4} \arctan \left(\frac{x \,{\mathrm e}^{8}}{\sqrt{{\mathrm e}^{8} {\mathrm e}^{4}}}\right)}{2 \sqrt{{\mathrm e}^{8} {\mathrm e}^{4}}}+\frac{{\mathrm e}^{4} x^{2}}{1+x^{2} {\mathrm e}^{4}}+\frac{x}{5 x^{2} {\mathrm e}^{8}+5 \,{\mathrm e}^{4}}-\frac{\arctan \left(\frac{x \,{\mathrm e}^{8}}{\sqrt{{\mathrm e}^{8} {\mathrm e}^{4}}}\right)}{5 \sqrt{{\mathrm e}^{8} {\mathrm e}^{4}}}-\frac{{\mathrm e}^{4} x}{2 \left(x^{2} {\mathrm e}^{8}+{\mathrm e}^{4}\right)}+\frac{{\mathrm e}^{4} \arctan \left(\frac{x \,{\mathrm e}^{8}}{\sqrt{{\mathrm e}^{8} {\mathrm e}^{4}}}\right)}{2 \sqrt{{\mathrm e}^{8} {\mathrm e}^{4}}}-\frac{{\mathrm e}^{4} {\mathrm e}^{-8} x}{5}-\frac{{\mathrm e}^{4} x \,{\mathrm e}^{-4}}{5 \left(x^{2} {\mathrm e}^{8}+{\mathrm e}^{4}\right)}+\frac{{\mathrm e}^{4} \arctan \left(\frac{x \,{\mathrm e}^{8}}{\sqrt{{\mathrm e}^{8} {\mathrm e}^{4}}}\right) {\mathrm e}^{-4}}{5 \sqrt{{\mathrm e}^{8} {\mathrm e}^{4}}}+{\mathrm e}^{2} {\mathrm e}^{4} \left(\frac{{\mathrm e}^{x} x \,{\mathrm e}^{-4}}{2+2 x^{2} {\mathrm e}^{4}}+\frac{i \left({\mathrm e}^{-4}\right)^{2} \left({\mathrm e}^{i {\mathrm e}^{-2}} \expIntegralEi \left(1, -\left({\mathrm e}^{2} x -i\right) {\mathrm e}^{-2}\right) {\mathrm e}^{2}-{\mathrm e}^{-i {\mathrm e}^{-2}} \expIntegralEi \left(1, -\left({\mathrm e}^{2} x +i\right) {\mathrm e}^{-2}\right) {\mathrm e}^{2}-i {\mathrm e}^{i {\mathrm e}^{-2}} \expIntegralEi \left(1, -\left({\mathrm e}^{2} x -i\right) {\mathrm e}^{-2}\right)-i {\mathrm e}^{-i {\mathrm e}^{-2}} \expIntegralEi \left(1, -\left({\mathrm e}^{2} x +i\right) {\mathrm e}^{-2}\right)\right)}{4}\right)-2 \,{\mathrm e}^{2} {\mathrm e}^{8} \left(-\frac{{\mathrm e}^{x} {\mathrm e}^{-8}}{2 \left(1+x^{2} {\mathrm e}^{4}\right)}+\frac{i {\mathrm e}^{-8} \left({\mathrm e}^{i {\mathrm e}^{-2}} \expIntegralEi \left(1, -\left({\mathrm e}^{2} x -i\right) {\mathrm e}^{-2}\right)-{\mathrm e}^{-i {\mathrm e}^{-2}} \expIntegralEi \left(1, -\left({\mathrm e}^{2} x +i\right) {\mathrm e}^{-2}\right)\right) {\mathrm e}^{-2}}{4}\right)+{\mathrm e}^{2} {\mathrm e}^{8} \left(-\frac{{\mathrm e}^{x} {\mathrm e}^{-8} x}{2 \left(1+x^{2} {\mathrm e}^{4}\right)}+\frac{i {\mathrm e}^{-8} \left({\mathrm e}^{i {\mathrm e}^{-2}} \expIntegralEi \left(1, -\left({\mathrm e}^{2} x -i\right) {\mathrm e}^{-2}\right) {\mathrm e}^{2}-{\mathrm e}^{-i {\mathrm e}^{-2}} \expIntegralEi \left(1, -\left({\mathrm e}^{2} x +i\right) {\mathrm e}^{-2}\right) {\mathrm e}^{2}+i {\mathrm e}^{i {\mathrm e}^{-2}} \expIntegralEi \left(1, -\left({\mathrm e}^{2} x -i\right) {\mathrm e}^{-2}\right)+i {\mathrm e}^{-i {\mathrm e}^{-2}} \expIntegralEi \left(1, -\left({\mathrm e}^{2} x +i\right) {\mathrm e}^{-2}\right)\right) {\mathrm e}^{-4}}{4}\right)$&$677$\\ \hline \end{longtable}"," ",0,"(x^2*exp(4)-1/5*x^3-1/5/exp(4)*(5*exp(4)+1)*x+exp(2+x))/(1+x^2*exp(4))","A"
7836,1,9,16,0.010000," ","int(-12*x-11/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(12 x +11\right)}{2}$&$9$\\ default&$-6 x^{2}-\frac{11}{2} x$&$10$\\ norman&$-6 x^{2}-\frac{11}{2} x$&$10$\\ risch&$-6 x^{2}-\frac{11}{2} x$&$10$\\ \hline \end{longtable}"," ",0,"-1/2*x*(12*x+11)","A"
7837,1,35,24,0.195000," ","int(((-2*x^3+3*x^2)*exp(x)^6+(240*x^3-360*x^2)*exp(x)^4+(-150*x^5+125*x^4-9600*x^3+14400*x^2)*exp(x)^2+2000*x^5-5000*x^4+128000*x^3-192000*x^2)/(exp(x)^8-120*exp(x)^6+4800*exp(x)^4-64000*exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{3}+\frac{1}{64} x^{5}\right) {\mathrm e}^{-2 x}-\frac{x^{5} \left({\mathrm e}^{2 x}-80\right)}{64 \left({\mathrm e}^{2 x}-40\right)^{2}}$&$35$\\ \hline \end{longtable}"," ",0,"(x^3+1/64*x^5)*exp(-2*x)-1/64*x^5*(exp(2*x)-80)/(exp(2*x)-40)^2","A"
7838,1,18,16,0.217000," ","int(((-9*x-24)*ln(-3*exp(4)/(3*x+8))-3*x)*exp(1/2*ln(-3*exp(4)/(3*x+8))/x^3)/(6*x^5+16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-\frac{3 \,{\mathrm e}^{4}}{3 x +8}\right)^{\frac{1}{2 x^{3}}}$&$18$\\ \hline \end{longtable}"," ",0,"(-3*exp(4)/(3*x+8))^(1/2/x^3)","A"
7839,1,11,17,0.040000," ","int((-144*x+144)*exp(9/exp(4*x^2-8*x))^2/exp(4*x^2-8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{18 \,{\mathrm e}^{-4 \left(x -2\right) x}}$&$11$\\ norman&${\mathrm e}^{18 \,{\mathrm e}^{-4 x^{2}+8 x}}$&$18$\\ \hline \end{longtable}"," ",0,"exp(18*exp(-4*(x-2)*x))","A"
7840,1,26,18,0.044000," ","int(64*x/(1600*ln(5)^2+(400*x^2+2944)*ln(5)+25*x^4+368*x^2+1344),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(25 x^{2}+200 \ln \left(5\right)+168\right)-\ln \left(x^{2}+8 \ln \left(5\right)+8\right)$&$26$\\ norman&$\ln \left(25 x^{2}+200 \ln \left(5\right)+168\right)-\ln \left(x^{2}+8 \ln \left(5\right)+8\right)$&$26$\\ risch&$\ln \left(25 x^{2}+200 \ln \left(5\right)+168\right)-\ln \left(-x^{2}-8 \ln \left(5\right)-8\right)$&$28$\\ \hline \end{longtable}"," ",0,"ln(25*x^2+200*ln(5)+168)-ln(x^2+8*ln(5)+8)","A"
7841,1,3,8,0.009000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
7842,1,31,26,0.040000," ","int((6*x^4+2*x^3-6*x^2)*exp(3*x)+2*exp(2)*x-2*x+5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left({\mathrm e}^{2}-1\right) x^{2}+5 x -2 x^{3} {\mathrm e}^{3 x}+2 \,{\mathrm e}^{3 x} x^{4}$&$31$\\ risch&$\left(2 x^{4}-2 x^{3}\right) {\mathrm e}^{3 x}+x^{2} {\mathrm e}^{2}-x^{2}+5 x$&$32$\\ derivativedivides&$5 x -x^{2}-2 x^{3} {\mathrm e}^{3 x}+2 \,{\mathrm e}^{3 x} x^{4}+x^{2} {\mathrm e}^{2}$&$34$\\ default&$5 x -x^{2}-2 x^{3} {\mathrm e}^{3 x}+2 \,{\mathrm e}^{3 x} x^{4}+x^{2} {\mathrm e}^{2}$&$34$\\ \hline \end{longtable}"," ",0,"(exp(2)-1)*x^2+5*x-2*x^3*exp(3*x)+2*exp(3*x)*x^4","A"
7843,1,56,34,0.107000," ","int((-128*x^4+256*x^2*ln(2))*exp(-16*x^4+64*x^2*ln(2)-64*ln(2)^2+2)*exp(1/(exp(-16*x^4+64*x^2*ln(2)-64*ln(2)^2+2)^2-4*exp(-16*x^4+64*x^2*ln(2)-64*ln(2)^2+2)+4))/(x*exp(-16*x^4+64*x^2*ln(2)-64*ln(2)^2+2)^3-6*x*exp(-16*x^4+64*x^2*ln(2)-64*ln(2)^2+2)^2+12*x*exp(-16*x^4+64*x^2*ln(2)-64*ln(2)^2+2)-8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-\frac{1}{-{\mathrm e}^{-32 x^{4}+128 x^{2} \ln \left(2\right)-128 \ln \left(2\right)^{2}+4}+4 \,{\mathrm e}^{-16 x^{4}+64 x^{2} \ln \left(2\right)-64 \ln \left(2\right)^{2}+2}-4}}$&$56$\\ \hline \end{longtable}"," ",0,"-exp(-1/(-exp(-32*x^4+128*x^2*ln(2)-128*ln(2)^2+4)+4*exp(-16*x^4+64*x^2*ln(2)-64*ln(2)^2+2)-4))","A"
7844,1,22,30,0.046000," ","int(1/3*((-3*x*ln(x)+3*x)*exp(1/3*exp(2*ln(3)+2*x+8))^2-100*x*exp(2*ln(3)+2*x+8)*ln(x)^3+75*ln(x)^2)/x/ln(x)^2/exp(1/3*exp(2*ln(3)+2*x+8))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{\ln \left(x \right)}+25 \ln \left(x \right) {\mathrm e}^{-6 \,{\mathrm e}^{2 x +8}}$&$22$\\ \hline \end{longtable}"," ",0,"-x/ln(x)+25*ln(x)*exp(-6*exp(2*x+8))","A"
7845,1,15,14,0.063000," ","int((4+x)/((2*x+4)*ln(2+x)+(-2*x-4)*exp(3)+x^2+8*x+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(2+x \right)+\frac{x}{2}-{\mathrm e}^{3}+3\right)$&$15$\\ norman&$\ln \left(-x +2 \,{\mathrm e}^{3}-2 \ln \left(2+x \right)-6\right)$&$17$\\ \hline \end{longtable}"," ",0,"ln(ln(2+x)+1/2*x-exp(3)+3)","A"
7846,1,26,29,0.092000," ","int(((2*exp(x)*x-4*x^2+4*x)*ln(x)+(-2*x^3+22*x^2-62*x+60)*exp(x)-12*x^2-44*x+120)/(x^4-10*x^3+25*x^2)/exp((-5-ln(x))/(x-5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \left(2 x -2-{\mathrm e}^{x}\right) {\mathrm e}^{\frac{5+\ln \left(x \right)}{x -5}}}{x}$&$26$\\ \hline \end{longtable}"," ",0,"2/x*(2*x-2-exp(x))*exp((5+ln(x))/(x-5))","A"
7847,1,26,23,0.058000," ","int((((2*exp(x)-5)*ln(x)-2*exp(x)*x+5*x)*ln(ln(x)-x)^2+(3*exp(x)*ln(x)-3*exp(x)*x)*ln(ln(x)-x)+(3*x-3)*exp(x))/(exp(x)*ln(x)-exp(x)*x)/ln(ln(x)-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(2 \,{\mathrm e}^{x} x +5\right) {\mathrm e}^{-x}+\frac{3 x}{\ln \left(\ln \left(x \right)-x \right)}$&$26$\\ default&$5 \,{\mathrm e}^{-x}+\frac{3 x +2 \ln \left(\ln \left(x \right)-x \right) x}{\ln \left(\ln \left(x \right)-x \right)}$&$32$\\ \hline \end{longtable}"," ",0,"(2*exp(x)*x+5)*exp(-x)+3*x/ln(ln(x)-x)","A"
7848,1,94,30,0.138000," ","int((x*exp(2)*ln(4*exp(((-x^2-x)*exp(2)-1)/exp(2)/x))^2+((-6*x^2-6*x)*exp(2)+2)*ln(4*exp(((-x^2-x)*exp(2)-1)/exp(2)/x))+(5*x^3+20*x^2+9*x)*exp(2)-2*x-6)/exp(2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 x +x^{3}+7 x^{2}+4 x \ln \left(2\right)^{2}-12 x \ln \left(2\right)-4 x^{2} \ln \left(2\right)+x \ln \left({\mathrm e}^{-\frac{\left(x^{2} {\mathrm e}^{2}+{\mathrm e}^{2} x +1\right) {\mathrm e}^{-2}}{x}}\right)^{2}-\left(-4 x \ln \left(2\right)+2 x^{2}+6 x \right) \ln \left({\mathrm e}^{-\frac{\left(x^{2} {\mathrm e}^{2}+{\mathrm e}^{2} x +1\right) {\mathrm e}^{-2}}{x}}\right)$&$94$\\ default&${\mathrm e}^{-2} \left(x^{3} {\mathrm e}^{2}+7 x^{2} {\mathrm e}^{2}+9 \,{\mathrm e}^{2} x +2 x -2 \,{\mathrm e}^{2} x^{2} \ln \left(4 \,{\mathrm e}^{\frac{\left(\left(-x^{2}-x \right) {\mathrm e}^{2}-1\right) {\mathrm e}^{-2}}{x}}\right)+x \,{\mathrm e}^{2} \ln \left(4 \,{\mathrm e}^{\frac{\left(\left(-x^{2}-x \right) {\mathrm e}^{2}-1\right) {\mathrm e}^{-2}}{x}}\right)^{2}+2 \ln \left(4 \,{\mathrm e}^{\frac{\left(\left(-x^{2}-x \right) {\mathrm e}^{2}-1\right) {\mathrm e}^{-2}}{x}}\right)-6 \ln \left(4 \,{\mathrm e}^{\frac{\left(\left(-x^{2}-x \right) {\mathrm e}^{2}-1\right) {\mathrm e}^{-2}}{x}}\right) {\mathrm e}^{2} x +\frac{2 \,{\mathrm e}^{-2}}{x}\right)$&$161$\\ \hline \end{longtable}"," ",0,"9*x+x^3+7*x^2+4*x*ln(2)^2-12*x*ln(2)-4*x^2*ln(2)+x*ln(exp(-(x^2*exp(2)+exp(2)*x+1)*exp(-2)/x))^2-(-4*x*ln(2)+2*x^2+6*x)*ln(exp(-(x^2*exp(2)+exp(2)*x+1)*exp(-2)/x))","B"
7849,1,641,27,0.368000," ","int(1/4*((-4*x+4)*exp(x)^2*ln(4/x^2)^2+((12*x-12)*exp(x)^2-16*exp(x)*x-16*x^2)*ln(4/x^2)+(-9*x+9)*exp(x)^2+24*exp(x)*x+24*x^2)/x^3/exp(exp(x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(9 x -32 x \ln \left(2\right) \ln \left(x \right)+9 \,{\mathrm e}^{x}+16 \ln \left(2\right)^{2} {\mathrm e}^{x}-24 \,{\mathrm e}^{x} \ln \left(2\right)+16 \,{\mathrm e}^{x} \ln \left(x \right)^{2}+16 x \ln \left(2\right)^{2}+24 \,{\mathrm e}^{x} \ln \left(x \right)+16 x \ln \left(x \right)^{2}-24 x \ln \left(2\right)+24 x \ln \left(x \right)-6 x \,\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+4 x \,\pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-\pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}+4 \pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}-6 \pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} {\mathrm e}^{x}+4 \pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5} {\mathrm e}^{x}-6 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-6 i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-x \,\pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}+4 x \,\pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-32 \ln \left(2\right) {\mathrm e}^{x} \ln \left(x \right)-x \,\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6} {\mathrm e}^{x}-16 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x}-8 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) \ln \left(x \right)+8 i \pi  \ln \left(2\right) x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-16 i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+16 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} \ln \left(x \right)+12 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-6 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+12 i {\mathrm e}^{x} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-6 i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+8 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x}+8 i \pi  \ln \left(2\right) x \mathrm{csgn}\left(i x^{2}\right)^{3}-8 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3} \ln \left(x \right)-8 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x} \ln \left(x \right)-8 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x} \ln \left(x \right)+16 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x} \ln \left(x \right)+8 i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x}\right) {\mathrm e}^{-\frac{{\mathrm e}^{x}}{x}}}{4 x}$&$641$\\ \hline \end{longtable}"," ",0,"1/4*(9*x-32*x*ln(2)*ln(x)+9*exp(x)+16*ln(2)^2*exp(x)-24*exp(x)*ln(2)+16*exp(x)*ln(x)^2+16*x*ln(2)^2+24*exp(x)*ln(x)+16*x*ln(x)^2-24*x*ln(2)+24*x*ln(x)+4*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3*exp(x)-6*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4*exp(x)+4*Pi^2*csgn(I*x)*csgn(I*x^2)^5*exp(x)-6*I*Pi*x*csgn(I*x^2)^3-6*I*exp(x)*Pi*csgn(I*x^2)^3-x*Pi^2*csgn(I*x)^4*csgn(I*x^2)^2+4*x*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3-6*x*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4+4*x*Pi^2*csgn(I*x)*csgn(I*x^2)^5-Pi^2*csgn(I*x)^4*csgn(I*x^2)^2*exp(x)+12*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2-6*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)+12*I*exp(x)*Pi*csgn(I*x)*csgn(I*x^2)^2-6*I*exp(x)*Pi*csgn(I*x)^2*csgn(I*x^2)+8*I*Pi*ln(2)*csgn(I*x^2)^3*exp(x)+8*I*Pi*ln(2)*x*csgn(I*x^2)^3-8*I*Pi*x*csgn(I*x^2)^3*ln(x)-8*I*Pi*csgn(I*x^2)^3*exp(x)*ln(x)-32*ln(2)*exp(x)*ln(x)+16*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2*ln(x)-8*I*Pi*csgn(I*x)^2*csgn(I*x^2)*exp(x)*ln(x)+16*I*Pi*csgn(I*x)*csgn(I*x^2)^2*exp(x)*ln(x)+8*I*Pi*ln(2)*csgn(I*x)^2*csgn(I*x^2)*exp(x)-16*I*Pi*ln(2)*csgn(I*x)*csgn(I*x^2)^2*exp(x)-8*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)*ln(x)+8*I*Pi*ln(2)*x*csgn(I*x)^2*csgn(I*x^2)-16*I*Pi*ln(2)*x*csgn(I*x)*csgn(I*x^2)^2-x*Pi^2*csgn(I*x^2)^6-Pi^2*csgn(I*x^2)^6*exp(x))/x*exp(-exp(x)/x)","C"
7850,1,20,17,0.029000," ","int(1/15*(10*x^2*ln(2)+20*x^3+27*x^2-40)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{2 x^{2}}{3}+\frac{2 x \ln \left(2\right)}{3}+\frac{9 x}{5}+\frac{8}{3 x}$&$20$\\ risch&$\frac{2 x^{2}}{3}+\frac{2 x \ln \left(2\right)}{3}+\frac{9 x}{5}+\frac{8}{3 x}$&$20$\\ norman&$\frac{\frac{8}{3}+\left(\frac{2 \ln \left(2\right)}{3}+\frac{9}{5}\right) x^{2}+\frac{2 x^{3}}{3}}{x}$&$22$\\ gosper&$\frac{10 x^{2} \ln \left(2\right)+10 x^{3}+27 x^{2}+40}{15 x}$&$25$\\ \hline \end{longtable}"," ",0,"2/3*x^2+2/3*x*ln(2)+9/5*x+8/3/x","A"
7851,1,84,29,0.065000," ","int(((x^2*exp(x)^5+x^2*exp(x)^4)*ln(x)^3+(-2*x^2*exp(x)^6+(-x^3+x^2+x)*exp(x)^5+3*x^2*exp(x)^4+(15*x+5)*exp(x)^3+10*x*exp(x)^2)*ln(x)^2+((-20*x-5)*exp(x)^4+(-10*x^2+20*x+20)*exp(x)^3+30*x*exp(x)^2+25)*ln(x)-5*exp(x)^4+10*exp(x)^3+(-25*x-25)*exp(x)+75)/(x^2*exp(x)^4*ln(x)^2+10*x*exp(x)^2*ln(x)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{x}+x \right) \ln \left(x \right)-\frac{\left({\mathrm e}^{2 x} x^{2}+x \,{\mathrm e}^{3 x}-2 \,{\mathrm e}^{x} x^{2}-2 x \,{\mathrm e}^{2 x}+5\right) {\mathrm e}^{-x}}{x}+\frac{5 \left(x \,{\mathrm e}^{3 x}-2 x \,{\mathrm e}^{2 x}+5\right) {\mathrm e}^{-x}}{x \left(x \,{\mathrm e}^{2 x} \ln \left(x \right)+5\right)}$&$84$\\ \hline \end{longtable}"," ",0,"(exp(x)+x)*ln(x)-(exp(2*x)*x^2+x*exp(3*x)-2*exp(x)*x^2-2*x*exp(2*x)+5)*exp(-x)/x+5*(x*exp(3*x)-2*x*exp(2*x)+5)*exp(-x)/x/(x*exp(2*x)*ln(x)+5)","B"
7852,1,39,18,0.227000," ","int((((2*x+4)*exp(x)*ln(2*x+4)^2+2*ln(2*x+4))*exp(exp(x))^2+((-6*x-12)*exp(x)*ln(2*x+4)^2-12*ln(2*x+4))*exp(exp(x))+18*ln(2*x+4))/(2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(2 x +4\right)^{2} {\mathrm e}^{2 \,{\mathrm e}^{x}}-6 \ln \left(2 x +4\right)^{2} {\mathrm e}^{{\mathrm e}^{x}}+9 \ln \left(2 x +4\right)^{2}$&$39$\\ \hline \end{longtable}"," ",0,"ln(2*x+4)^2*exp(2*exp(x))-6*ln(2*x+4)^2*exp(exp(x))+9*ln(2*x+4)^2","B"
7853,1,40,21,0.032000," ","int(1/200*(x^4*ln(1/4*x)^4+2*x^4*ln(1/4*x)^3+6*x^4*ln(1/4*x)^2+(6*x^4+40*x^2)*ln(1/4*x)+9*x^4-400)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{x^{2} \ln \left(\frac{x}{4}\right)^{4}}{400}+\frac{3 x^{2} \ln \left(\frac{x}{4}\right)^{2}}{200}+\frac{9 x^{2}}{400}+\frac{\ln \left(\frac{x}{4}\right)^{2}}{10}+\frac{1}{x^{2}}$&$40$\\ default&$\frac{x^{2} \ln \left(\frac{x}{4}\right)^{4}}{400}+\frac{3 x^{2} \ln \left(\frac{x}{4}\right)^{2}}{200}+\frac{9 x^{2}}{400}+\frac{\ln \left(\frac{x}{4}\right)^{2}}{10}+\frac{1}{x^{2}}$&$40$\\ risch&$\frac{x^{2} \ln \left(\frac{x}{4}\right)^{4}}{400}+\frac{\left(3 x^{2}+20\right) \ln \left(\frac{x}{4}\right)^{2}}{200}+\frac{9 x^{4}+400}{400 x^{2}}$&$40$\\ norman&$\frac{1+\frac{9 x^{4}}{400}+\frac{x^{2} \ln \left(\frac{x}{4}\right)^{2}}{10}+\frac{3 x^{4} \ln \left(\frac{x}{4}\right)^{2}}{200}+\frac{x^{4} \ln \left(\frac{x}{4}\right)^{4}}{400}}{x^{2}}$&$45$\\ \hline \end{longtable}"," ",0,"1/400*x^2*ln(1/4*x)^4+3/200*x^2*ln(1/4*x)^2+9/400*x^2+1/10*ln(1/4*x)^2+1/x^2","A"
7854,1,33,22,0.033000," ","int(((80*x^2-10)*ln(1/4*x^2-1/16*ln(x))-240*x^2+30)/(x*ln(x)-4*x^3)/exp(ln(1/4*x^2-1/16*ln(x))^2-6*ln(1/4*x^2-1/16*ln(x))+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \left(\frac{x^{2}}{4}-\frac{\ln \left(x \right)}{16}\right)^{6} {\mathrm e}^{-\ln \left(\frac{x^{2}}{4}-\frac{\ln \left(x \right)}{16}\right)^{2}-9}$&$33$\\ \hline \end{longtable}"," ",0,"5*(1/4*x^2-1/16*ln(x))^6*exp(-ln(1/4*x^2-1/16*ln(x))^2-9)","A"
7855,1,27,20,0.107000," ","int((-2*ln(x)-3)*exp((5*ln(exp(4)-3)-ln(x)^2-3*ln(x))/ln(exp(4)-3))/x/ln(exp(4)-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{\ln \left(x \right)^{2}+3 \ln \left(x \right)-5 \ln \left({\mathrm e}^{4}-3\right)}{\ln \left({\mathrm e}^{4}-3\right)}}$&$27$\\ derivativedivides&${\mathrm e}^{\frac{5 \ln \left({\mathrm e}^{4}-3\right)-\ln \left(x \right)^{2}-3 \ln \left(x \right)}{\ln \left({\mathrm e}^{4}-3\right)}}$&$28$\\ default&${\mathrm e}^{\frac{5 \ln \left({\mathrm e}^{4}-3\right)-\ln \left(x \right)^{2}-3 \ln \left(x \right)}{\ln \left({\mathrm e}^{4}-3\right)}}$&$28$\\ norman&${\mathrm e}^{\frac{5 \ln \left({\mathrm e}^{4}-3\right)-\ln \left(x \right)^{2}-3 \ln \left(x \right)}{\ln \left({\mathrm e}^{4}-3\right)}}$&$28$\\ \hline \end{longtable}"," ",0,"exp(-(ln(x)^2+3*ln(x)-5*ln(exp(4)-3))/ln(exp(4)-3))","A"
7856,1,26,21,0.042000," ","int(1/9*(2*exp(2)^2*exp(3)^2+16*exp(2)^2*exp(3)+32*exp(2)^2)*exp(4)/x^2/exp(exp(4)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{4} \left({\mathrm e}^{6}+8 \,{\mathrm e}^{3}+16\right) {\mathrm e}^{-\frac{2 \,{\mathrm e}^{4}}{x}}}{9}$&$26$\\ norman&$\frac{{\mathrm e}^{4} \left({\mathrm e}^{6}+8 \,{\mathrm e}^{3}+16\right) {\mathrm e}^{-\frac{2 \,{\mathrm e}^{4}}{x}}}{9}$&$26$\\ default&$\frac{\left({\mathrm e}^{4} {\mathrm e}^{6}+8 \,{\mathrm e}^{3} {\mathrm e}^{4}+16 \,{\mathrm e}^{4}\right) {\mathrm e}^{-\frac{2 \,{\mathrm e}^{4}}{x}}}{9}$&$36$\\ derivativedivides&$-\frac{\left(-\frac{2 \,{\mathrm e}^{4} {\mathrm e}^{6}}{9}-\frac{16 \,{\mathrm e}^{3} {\mathrm e}^{4}}{9}-\frac{32 \,{\mathrm e}^{4}}{9}\right) {\mathrm e}^{-\frac{2 \,{\mathrm e}^{4}}{x}}}{2}$&$37$\\ risch&$\frac{{\mathrm e}^{-\frac{2 \,{\mathrm e}^{4}}{x}} {\mathrm e}^{10}}{9}+\frac{8 \,{\mathrm e}^{-\frac{2 \,{\mathrm e}^{4}}{x}} {\mathrm e}^{7}}{9}+\frac{16 \,{\mathrm e}^{-\frac{2 \,{\mathrm e}^{4}}{x}} {\mathrm e}^{4}}{9}$&$38$\\ meijerg&$-\frac{{\mathrm e}^{10} \left(1-{\mathrm e}^{-\frac{2 \,{\mathrm e}^{4}}{x}}\right)}{9}-\frac{8 \,{\mathrm e}^{7} \left(1-{\mathrm e}^{-\frac{2 \,{\mathrm e}^{4}}{x}}\right)}{9}-\frac{16 \,{\mathrm e}^{4} \left(1-{\mathrm e}^{-\frac{2 \,{\mathrm e}^{4}}{x}}\right)}{9}$&$50$\\ \hline \end{longtable}"," ",0,"1/9*exp(2)^2*(exp(3)^2+8*exp(3)+16)/exp(exp(4)/x)^2","A"
7857,1,53,28,0.064000," ","int(((-5*x^6-30*x^5+600*x^3+1200*x^2+720*x+720)*exp(3)-10*x^7-60*x^6+600*x^4-1200*x^3-4260*x^2-1560*x-2800)/(x^6+6*x^5-40*x^3+96*x-64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-5 x^{2}-5 x \,{\mathrm e}^{3}+\frac{-200 x^{3}+100 \left(-2 \,{\mathrm e}^{3}+4\right) x^{2}+100 \left(19-4 \,{\mathrm e}^{3}\right) x +300 \,{\mathrm e}^{3}-1200}{\left(x^{2}+2 x -4\right)^{2}}$&$53$\\ norman&$\frac{\left(-20-5 \,{\mathrm e}^{3}\right) x^{5}+\left(-200+100 \,{\mathrm e}^{3}\right) x^{3}+\left(400-200 \,{\mathrm e}^{3}\right) x^{2}+\left(2220-800 \,{\mathrm e}^{3}\right) x -5 x^{6}-1520+620 \,{\mathrm e}^{3}}{\left(x^{2}+2 x -4\right)^{2}}$&$61$\\ risch&$-5 x \,{\mathrm e}^{3}-5 x^{2}+\frac{-200 x^{3}+\left(400-200 \,{\mathrm e}^{3}\right) x^{2}+\left(1900-400 \,{\mathrm e}^{3}\right) x -1200+300 \,{\mathrm e}^{3}}{x^{4}+4 x^{3}-4 x^{2}-16 x +16}$&$62$\\ gosper&$-\frac{5 \left(x^{5} {\mathrm e}^{3}+x^{6}+4 x^{5}-20 x^{3} {\mathrm e}^{3}+40 x^{2} {\mathrm e}^{3}+40 x^{3}+160 x \,{\mathrm e}^{3}-80 x^{2}-124 \,{\mathrm e}^{3}-444 x +304\right)}{x^{4}+4 x^{3}-4 x^{2}-16 x +16}$&$75$\\ \hline \end{longtable}"," ",0,"-5*x^2-5*x*exp(3)+100*(-2*x^3+(-2*exp(3)+4)*x^2+(19-4*exp(3))*x+3*exp(3)-12)/(x^2+2*x-4)^2","A"
7858,1,23,24,0.065000," ","int(((3*x^3+24*x^2+3*x+24)*ln(x+8)^2+(6*x^4+19*x^3-226*x^2+18*x-240)*ln(x+8)+3*x^5-6*x^4-168*x^3+554*x^2-165*x+600)/((3*x^3+24*x^2)*ln(x+8)^2+(6*x^4+18*x^3-240*x^2)*ln(x+8)+3*x^5-6*x^4-165*x^3+600*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}-1}{x}+\frac{x}{3 \ln \left(x +8\right)+3 x -15}$&$23$\\ norman&$\frac{5+x^{3}-\frac{73 x}{3}-\ln \left(x +8\right)^{2} x +\frac{29 x \ln \left(x +8\right)}{3}-\ln \left(x +8\right)}{x \left(\ln \left(x +8\right)+x -5\right)}+\ln \left(x +8\right)$&$49$\\ \hline \end{longtable}"," ",0,"(x^2-1)/x+1/3*x/(ln(x+8)+x-5)","A"
7859,1,26,19,0.291000," ","int(((-200*x^2+320*x)*ln(x)+(-40*x^3-168*x^2+320*x)*exp(1/5*x)-200*x^2+160*x)/(25*x^2-40*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-40 x^{2} \ln \left(x \right)-40 \,{\mathrm e}^{\frac{x}{5}} x^{2}}{5 x -4}$&$26$\\ default&$-8 x \ln \left(x \right)-\frac{32 \ln \left(x \right) x}{5 x -4}-\frac{128 \,{\mathrm e}^{\frac{x}{5}}}{125 \left(\frac{x}{5}-\frac{4}{25}\right)}-\frac{32 \,{\mathrm e}^{\frac{x}{5}}}{5}-8 x \,{\mathrm e}^{\frac{x}{5}}$&$45$\\ risch&$-\frac{8 \left(25 x^{2}-20 x +16\right) \ln \left(x \right)}{5 \left(5 x -4\right)}-\frac{8 \left(25 \,{\mathrm e}^{\frac{x}{5}} x^{2}+20 x \ln \left(x \right)-16 \ln \left(x \right)\right)}{5 \left(5 x -4\right)}$&$51$\\ \hline \end{longtable}"," ",0,"(-40*x^2*ln(x)-40*exp(1/5*x)*x^2)/(5*x-4)","A"
7860,1,14,19,0.075000," ","int(((-5*exp(6*x)+4)*ln(5*exp(3)^2/(5*exp(6*x)-4))+(30*x+5)*exp(6*x)-4)/(5*exp(6*x)-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left({\mathrm e}^{6 x}-\frac{4}{5}\right)-5 x$&$14$\\ norman&$x -x \ln \left(\frac{5 \,{\mathrm e}^{6}}{5 \,{\mathrm e}^{6 x}-4}\right)$&$23$\\ default&$\frac{\ln \left({\mathrm e}^{6 x}\right)}{6}+\frac{\left(6 x -\ln \left(\frac{5 \,{\mathrm e}^{6 x}}{4}\right)\right) \ln \left(1-\frac{5 \,{\mathrm e}^{6 x}}{4}\right)}{6}-\frac{\left(\ln \left(\frac{5 \,{\mathrm e}^{6}}{5 \,{\mathrm e}^{6 x}-4}\right)+\ln \left(5 \,{\mathrm e}^{6 x}-4\right)\right) \ln \left({\mathrm e}^{6 x}\right)}{6}+\frac{\ln \left(5 \,{\mathrm e}^{6 x}-4\right) \ln \left(\frac{5 \,{\mathrm e}^{6 x}}{4}\right)}{6}$&$85$\\ \hline \end{longtable}"," ",0,"x*ln(exp(6*x)-4/5)-5*x","A"
7861,1,12,11,0.025000," ","int((-8*ln(x)*ln(ln(x))^2+ln(x)*ln(ln(x))-1)/ln(x)/ln(ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{\ln \left(\ln \left(x \right)\right)}-8 x$&$12$\\ norman&$\frac{x -8 x \ln \left(\ln \left(x \right)\right)}{\ln \left(\ln \left(x \right)\right)}$&$15$\\ \hline \end{longtable}"," ",0,"x/ln(ln(x))-8*x","A"
7862,1,51,25,0.095000," ","int((4*(-352*x^2+192*x)*ln(3)^2+2*(352*x^3-576*x^2)*ln(3)+384*x^3)/(161051*x^5+439230*x^4+479160*x^3+261360*x^2+71280*x+7776)/exp(16)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-32} \left(\left(-\frac{384}{161051}-\frac{64 \ln \left(3\right)}{14641}\right) x^{3}+\left(\frac{64 \ln \left(3\right)^{2}}{14641}-\frac{3456}{1771561}\right) x^{2}-\frac{13824 x}{19487171}-\frac{20736}{214358881}\right)}{x^{4}+\frac{24}{11} x^{3}+\frac{216}{121} x^{2}+\frac{864}{1331} x +\frac{1296}{14641}}$&$51$\\ norman&$\frac{\left(-\frac{64 \left(11 \ln \left(3\right)+6\right) {\mathrm e}^{-16} x^{3}}{11}+\frac{64 \left(121 \ln \left(3\right)^{2}-54\right) {\mathrm e}^{-16} x^{2}}{121}-\frac{13824 x \,{\mathrm e}^{-16}}{1331}-\frac{20736 \,{\mathrm e}^{-16}}{14641}\right) {\mathrm e}^{-16}}{\left(11 x +6\right)^{4}}$&$59$\\ gosper&$\frac{64 \left(14641 x^{2} \ln \left(3\right)^{2}-14641 x^{3} \ln \left(3\right)-7986 x^{3}-6534 x^{2}-2376 x -324\right) {\mathrm e}^{-32}}{14641 \left(14641 x^{4}+31944 x^{3}+26136 x^{2}+9504 x +1296\right)}$&$60$\\ default&$2 \,{\mathrm e}^{-32} \left(-\frac{8 \left(-\frac{144 \ln \left(3\right)^{2}}{121}-\frac{864 \ln \left(3\right)}{1331}-\frac{1296}{14641}\right)}{\left(11 x +6\right)^{4}}-\frac{32 \left(\frac{36 \ln \left(3\right)^{2}}{121}+\frac{324 \ln \left(3\right)}{1331}+\frac{648}{14641}\right)}{3 \left(11 x +6\right)^{3}}-\frac{16 \left(-\frac{2 \ln \left(3\right)^{2}}{121}-\frac{36 \ln \left(3\right)}{1331}-\frac{108}{14641}\right)}{\left(11 x +6\right)^{2}}-\frac{32 \left(\frac{\ln \left(3\right)}{1331}+\frac{6}{14641}\right)}{11 x +6}\right)$&$86$\\ \hline \end{longtable}"," ",0,"exp(-32)*((-384/161051-64/14641*ln(3))*x^3+(64/14641*ln(3)^2-3456/1771561)*x^2-13824/19487171*x-20736/214358881)/(x^4+24/11*x^3+216/121*x^2+864/1331*x+1296/14641)","A"
7863,1,14,14,0.482000," ","int((-256*x+256)*ln(x^2-2*x+8)/(x^2-2*x+8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-64 \ln \left(x^{2}-2 x +8\right)^{2}$&$14$\\ risch&$-64 \ln \left(x^{2}-2 x +8\right)^{2}$&$14$\\ default&$-128 \ln \left(x -1-i \sqrt{7}\right) \ln \left(x^{2}-2 x +8\right)+64 \ln \left(x -1-i \sqrt{7}\right)^{2}+128 \dilog \left(-\frac{i \left(-1+i \sqrt{7}+x \right) \sqrt{7}}{14}\right)+128 \ln \left(x -1-i \sqrt{7}\right) \ln \left(-\frac{i \left(-1+i \sqrt{7}+x \right) \sqrt{7}}{14}\right)-128 \ln \left(-1+i \sqrt{7}+x \right) \ln \left(x^{2}-2 x +8\right)+64 \ln \left(-1+i \sqrt{7}+x \right)^{2}+128 \dilog \left(\frac{i \left(x -1-i \sqrt{7}\right) \sqrt{7}}{14}\right)+128 \ln \left(-1+i \sqrt{7}+x \right) \ln \left(\frac{i \left(x -1-i \sqrt{7}\right) \sqrt{7}}{14}\right)$&$164$\\ \hline \end{longtable}"," ",0,"-64*ln(x^2-2*x+8)^2","A"
7864,0,0,22,0.039000," ","int((((x^2*ln(3)+x^3)*exp(x)*ln(2*x)+45*exp(x)*x)*exp(exp(x))*ln(1/9*(x^2*ln(3)+x^3)*ln(2*x)+5*x)+((2*x*ln(3)+3*x^2)*ln(2*x)+x*ln(3)+x^2+45)*exp(exp(x)))/((x^2*ln(3)+x^3)*ln(2*x)+45*x),x)","\[\int \frac{\left(\left(x^{2} \ln \left(3\right)+x^{3}\right) {\mathrm e}^{x} \ln \left(2 x \right)+45 \,{\mathrm e}^{x} x \right) {\mathrm e}^{{\mathrm e}^{x}} \ln \left(\frac{\left(x^{2} \ln \left(3\right)+x^{3}\right) \ln \left(2 x \right)}{9}+5 x \right)+\left(\left(2 x \ln \left(3\right)+3 x^{2}\right) \ln \left(2 x \right)+x \ln \left(3\right)+x^{2}+45\right) {\mathrm e}^{{\mathrm e}^{x}}}{\left(x^{2} \ln \left(3\right)+x^{3}\right) \ln \left(2 x \right)+45 x}\, dx\]"," ",0,"int((((x^2*ln(3)+x^3)*exp(x)*ln(2*x)+45*exp(x)*x)*exp(exp(x))*ln(1/9*(x^2*ln(3)+x^3)*ln(2*x)+5*x)+((2*x*ln(3)+3*x^2)*ln(2*x)+x*ln(3)+x^2+45)*exp(exp(x)))/((x^2*ln(3)+x^3)*ln(2*x)+45*x),x)","F"
7865,1,26,24,0.104000," ","int(((-x^3-x^2)*ln(x/(x+1))+4*x^3+13*x^2+8*x)/((x^3+x^2)*ln(x/(x+1))^2+(-2*x^4-10*x^3-16*x^2-8*x)*ln(x/(x+1))+x^5+9*x^4+32*x^3+56*x^2+48*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}}{x^{2}-x \ln \left(\frac{x}{x +1}\right)+4 x +4}$&$26$\\ risch&$\frac{x^{2}}{x^{2}-x \ln \left(\frac{x}{x +1}\right)+4 x +4}$&$26$\\ \hline \end{longtable}"," ",0,"x^2/(x^2-x*ln(x/(x+1))+4*x+4)","A"
7866,1,26,32,0.054000," ","int((-x*ln(1/3*x)+(x^2-x)*exp(x)+(5+x)*exp(5/x)-3*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\frac{x}{3}\right)}{x}+\frac{4+{\mathrm e}^{x}-{\mathrm e}^{\frac{5}{x}}}{x}$&$26$\\ default&$-\frac{{\mathrm e}^{\frac{5}{x}}}{x}+\frac{{\mathrm e}^{x}}{x}+\frac{4}{x}+\frac{\ln \left(\frac{x}{3}\right)}{x}$&$32$\\ \hline \end{longtable}"," ",0,"ln(1/3*x)/x+(4+exp(x)-exp(5/x))/x","A"
7867,1,14,18,0.220000," ","int(((-10*x+4)*ln(10*x-4)-25*x+6)/(5*x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-3 x -2 x \ln \left(10 x -4\right)$&$14$\\ risch&$-3 x -2 x \ln \left(10 x -4\right)$&$14$\\ derivativedivides&$-\frac{\left(10 x -4\right) \ln \left(10 x -4\right)}{5}-3 x +\frac{6}{5}-\frac{4 \ln \left(10 x -4\right)}{5}$&$27$\\ default&$-\frac{\left(10 x -4\right) \ln \left(10 x -4\right)}{5}-3 x +\frac{6}{5}-\frac{4 \ln \left(10 x -4\right)}{5}$&$27$\\ \hline \end{longtable}"," ",0,"-3*x-2*x*ln(10*x-4)","A"
7868,1,22,19,0.072000," ","int(1/7*((-16*x-32)*exp(4)^2*ln(2)^2+(-96*x-192)*exp(4)^2*ln(2)+(-144*x-288)*exp(4)^2)/exp(x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 \left(\ln \left(2\right)^{2}+6 \ln \left(2\right)+9\right) {\mathrm e}^{8-x}}{7 x^{2}}$&$22$\\ gosper&$\frac{16 \,{\mathrm e}^{8} \left(\ln \left(2\right)^{2}+6 \ln \left(2\right)+9\right) {\mathrm e}^{-x}}{7 x^{2}}$&$24$\\ norman&$\frac{\left(\frac{16 \,{\mathrm e}^{8} \ln \left(2\right)^{2}}{7}+\frac{96 \,{\mathrm e}^{8} \ln \left(2\right)}{7}+\frac{144 \,{\mathrm e}^{8}}{7}\right) {\mathrm e}^{-x}}{x^{2}}$&$34$\\ default&$-\frac{288 \,{\mathrm e}^{8} \left(-\frac{{\mathrm e}^{-x}}{2 x^{2}}+\frac{{\mathrm e}^{-x}}{2 x}-\frac{\expIntegralEi \left(1, x\right)}{2}\right)}{7}-\frac{144 \,{\mathrm e}^{8} \left(-\frac{{\mathrm e}^{-x}}{x}+\expIntegralEi \left(1, x\right)\right)}{7}+\frac{96 \,{\mathrm e}^{-x} {\mathrm e}^{8} \ln \left(2\right)}{7 x^{2}}+\frac{16 \,{\mathrm e}^{-x} {\mathrm e}^{8} \ln \left(2\right)^{2}}{7 x^{2}}$&$83$\\ meijerg&$\frac{\left(-16 \,{\mathrm e}^{8} \ln \left(2\right)^{2}-96 \,{\mathrm e}^{8} \ln \left(2\right)-144 \,{\mathrm e}^{8}\right) \left(-\frac{1}{x}+1+\frac{-2 x +2}{2 x}-\frac{{\mathrm e}^{-x}}{x}+\expIntegralEi \left(1, x\right)\right)}{7}-\frac{32 \,{\mathrm e}^{8} \ln \left(2\right)^{2} \left(-\frac{1}{2 x^{2}}+\frac{1}{x}-\frac{3}{4}+\frac{9 x^{2}-12 x +6}{12 x^{2}}-\frac{\left(-3 x +3\right) {\mathrm e}^{-x}}{6 x^{2}}-\frac{\expIntegralEi \left(1, x\right)}{2}\right)}{7}-\frac{192 \,{\mathrm e}^{8} \ln \left(2\right) \left(-\frac{1}{2 x^{2}}+\frac{1}{x}-\frac{3}{4}+\frac{9 x^{2}-12 x +6}{12 x^{2}}-\frac{\left(-3 x +3\right) {\mathrm e}^{-x}}{6 x^{2}}-\frac{\expIntegralEi \left(1, x\right)}{2}\right)}{7}-\frac{288 \,{\mathrm e}^{8} \left(-\frac{1}{2 x^{2}}+\frac{1}{x}-\frac{3}{4}+\frac{9 x^{2}-12 x +6}{12 x^{2}}-\frac{\left(-3 x +3\right) {\mathrm e}^{-x}}{6 x^{2}}-\frac{\expIntegralEi \left(1, x\right)}{2}\right)}{7}$&$202$\\ \hline \end{longtable}"," ",0,"16/7/x^2*(ln(2)^2+6*ln(2)+9)*exp(8-x)","A"
7869,1,16,17,0.026000," ","int((-exp(x^2+2*x-80)+8*x+8)/exp(x^2+2*x-80),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -4 \,{\mathrm e}^{-\left(x +10\right) \left(-8+x \right)}$&$16$\\ default&$-x -4 \,{\mathrm e}^{-x^{2}-2 x +80}$&$18$\\ norman&$\left(-4-x \,{\mathrm e}^{x^{2}+2 x -80}\right) {\mathrm e}^{-x^{2}-2 x +80}$&$27$\\ \hline \end{longtable}"," ",0,"-x-4*exp(-(x+10)*(-8+x))","A"
7870,1,909,23,0.315000," ","int(((2*x^2+2*x)*ln(x/(x+1))^2+((2*x^3+6*x^2+4*x)*exp(x)-6*x^3-2*x^2+6*x)*ln(x/(x+1))+(2*x^3+4*x^2+2*x)*exp(x)^2+(-2*x^4-6*x^3+6*x)*exp(x)+4*x^4-2*x^3-6*x^2+5*x+1)/(x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +2 x^{2} \ln \left(x \right)+2 x^{2} {\mathrm e}^{x} \ln \left(x \right)+x^{2} \ln \left(x \right)^{2}+x^{4}-2 x^{3}+x^{2}-2 x^{3} \ln \left(x \right)+{\mathrm e}^{2 x} x^{2}+2 \,{\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x^{3}+i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{3}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{4} \mathrm{csgn}\left(\frac{i}{x +1}\right)^{2}}{4}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{5} \mathrm{csgn}\left(i x \right)}{2}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{5} \mathrm{csgn}\left(\frac{i}{x +1}\right)}{2}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}}{4}-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{3}+\left(-2 x^{2} \ln \left(x \right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{3}-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{2} \mathrm{csgn}\left(\frac{i}{x +1}\right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x +1}\right)+2 x^{3}-2 \,{\mathrm e}^{x} x^{2}-2 x^{2}\right) \ln \left(x +1\right)+\ln \left(x +1\right)^{2} x^{2}+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{2} \mathrm{csgn}\left(\frac{i}{x +1}\right)-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x +1}\right) {\mathrm e}^{x}-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x +1}\right) \ln \left(x \right)+i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i x}{x +1}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x +1}\right)-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x +1}\right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{2} \mathrm{csgn}\left(i x \right) \ln \left(x \right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{2} \mathrm{csgn}\left(\frac{i}{x +1}\right) {\mathrm e}^{x}+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{2} \mathrm{csgn}\left(\frac{i}{x +1}\right) \ln \left(x \right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{2} \mathrm{csgn}\left(i x \right) {\mathrm e}^{x}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{6}}{4}-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{3} \ln \left(x \right)-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{3} {\mathrm e}^{x}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(\frac{i}{x +1}\right)}{2}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x +1}\right)^{2}}{2}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(\frac{i}{x +1}\right)^{2}}{4}-i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{2} \mathrm{csgn}\left(\frac{i}{x +1}\right)-\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i x}{x +1}\right)^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{x +1}\right)$&$909$\\ \hline \end{longtable}"," ",0,"x+2*x^2*ln(x)+I*Pi*x^3*csgn(I*x/(x+1))*csgn(I*x)*csgn(I/(x+1))-I*Pi*x^2*csgn(I*x/(x+1))*csgn(I*x)*csgn(I/(x+1))+2*x^2*exp(x)*ln(x)+x^2*ln(x)^2+x^4-2*x^3+x^2-2*x^3*ln(x)+exp(2*x)*x^2+2*exp(x)*x^2-2*exp(x)*x^3+I*Pi*x^3*csgn(I*x/(x+1))^3-1/4*Pi^2*x^2*csgn(I*x/(x+1))^4*csgn(I/(x+1))^2+1/2*Pi^2*x^2*csgn(I*x/(x+1))^5*csgn(I*x)+1/2*Pi^2*x^2*csgn(I*x/(x+1))^5*csgn(I/(x+1))-1/4*Pi^2*x^2*csgn(I*x/(x+1))^4*csgn(I*x)^2-I*Pi*x^2*csgn(I*x/(x+1))^3-1/4*Pi^2*x^2*csgn(I*x/(x+1))^6+(-2*x^2*ln(x)+I*Pi*x^2*csgn(I*x/(x+1))^3-I*Pi*x^2*csgn(I*x/(x+1))^2*csgn(I*x)-I*Pi*x^2*csgn(I*x/(x+1))^2*csgn(I/(x+1))+I*Pi*x^2*csgn(I*x/(x+1))*csgn(I*x)*csgn(I/(x+1))+2*x^3-2*exp(x)*x^2-2*x^2)*ln(x+1)+I*Pi*x^2*csgn(I*x/(x+1))^2*csgn(I/(x+1))+ln(x+1)^2*x^2+I*Pi*x^2*csgn(I*x/(x+1))^2*csgn(I*x)*ln(x)+I*Pi*x^2*csgn(I*x/(x+1))^2*csgn(I/(x+1))*exp(x)+I*Pi*x^2*csgn(I*x/(x+1))^2*csgn(I/(x+1))*ln(x)+I*Pi*x^2*csgn(I*x/(x+1))^2*csgn(I*x)*exp(x)-I*Pi*x^2*csgn(I*x/(x+1))^3*ln(x)-I*Pi*x^2*csgn(I*x/(x+1))^3*exp(x)+1/2*Pi^2*x^2*csgn(I*x/(x+1))^3*csgn(I*x)^2*csgn(I/(x+1))+1/2*Pi^2*x^2*csgn(I*x/(x+1))^3*csgn(I*x)*csgn(I/(x+1))^2-1/4*Pi^2*x^2*csgn(I*x/(x+1))^2*csgn(I*x)^2*csgn(I/(x+1))^2-I*Pi*x^3*csgn(I*x/(x+1))^2*csgn(I*x)-I*Pi*x^3*csgn(I*x/(x+1))^2*csgn(I/(x+1))-Pi^2*x^2*csgn(I*x/(x+1))^4*csgn(I*x)*csgn(I/(x+1))+I*Pi*x^2*csgn(I*x/(x+1))^2*csgn(I*x)-I*Pi*x^2*csgn(I*x/(x+1))*csgn(I*x)*csgn(I/(x+1))*exp(x)-I*Pi*x^2*csgn(I*x/(x+1))*csgn(I*x)*csgn(I/(x+1))*ln(x)","C"
7871,1,247,31,1.346000," ","int((((x^4-4*x^3-8*x^2+15*x+17)*exp(x)^2+(-4*x^9+12*x^8+64*x^7-120*x^6-396*x^5+320*x^4+1052*x^3+128*x^2-960*x-1024)*exp(x)+16*x^13-384*x^11-48*x^10+3840*x^9+768*x^8-20432*x^7-4608*x^6+61056*x^5+12272*x^4-97536*x^3-12288*x^2+65536*x)*exp((exp(x)^2+(-8*x^5+64*x^3+8*x^2-128*x)*exp(x)+16*x^10-256*x^8-32*x^7+1536*x^6+256*x^5-4080*x^4-512*x^3+4096*x^2)/(16*x^8-256*x^6-32*x^5+1536*x^4+256*x^3-4080*x^2-512*x+4096))+8*x^12-192*x^10-24*x^9+1920*x^8+384*x^7-10216*x^6-2304*x^5+30528*x^4+6136*x^3-48768*x^2-6144*x+32768)/((8*x^12-192*x^10-24*x^9+1920*x^8+384*x^7-10216*x^6-2304*x^5+30528*x^4+6136*x^3-48768*x^2-6144*x+32768)*exp((exp(x)^2+(-8*x^5+64*x^3+8*x^2-128*x)*exp(x)+16*x^10-256*x^8-32*x^7+1536*x^6+256*x^5-4080*x^4-512*x^3+4096*x^2)/(16*x^8-256*x^6-32*x^5+1536*x^4+256*x^3-4080*x^2-512*x+4096))+8*x^13+16*x^12-192*x^11-408*x^10+1872*x^9+4224*x^8-9448*x^7-22736*x^6+25920*x^5+67192*x^4-36496*x^3-103680*x^2+20480*x+65536),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{{\mathrm e}^{2 x}}{16 \left(x^{4}-8 x^{2}-x +16\right)^{2}}-\frac{x \,{\mathrm e}^{x}}{2 \left(x^{4}-8 x^{2}-x +16\right)}-\frac{{\mathrm e}^{2 x}+\left(-8 x^{5}+64 x^{3}+8 x^{2}-128 x \right) {\mathrm e}^{x}+16 x^{10}-256 x^{8}-32 x^{7}+1536 x^{6}+256 x^{5}-4080 x^{4}-512 x^{3}+4096 x^{2}}{16 x^{8}-256 x^{6}-32 x^{5}+1536 x^{4}+256 x^{3}-4080 x^{2}-512 x +4096}+\ln \left(2+x +{\mathrm e}^{-\frac{-16 x^{10}+256 x^{8}+32 x^{7}+8 x^{5} {\mathrm e}^{x}-1536 x^{6}-256 x^{5}-64 \,{\mathrm e}^{x} x^{3}+4080 x^{4}-8 \,{\mathrm e}^{x} x^{2}+512 x^{3}+128 \,{\mathrm e}^{x} x -4096 x^{2}-{\mathrm e}^{2 x}}{16 \left(x^{4}-8 x^{2}-x +16\right)^{2}}}\right)$&$247$\\ \hline \end{longtable}"," ",0,"x^2+1/16/(x^4-8*x^2-x+16)^2*exp(2*x)-1/2*x/(x^4-8*x^2-x+16)*exp(x)-(exp(2*x)+(-8*x^5+64*x^3+8*x^2-128*x)*exp(x)+16*x^10-256*x^8-32*x^7+1536*x^6+256*x^5-4080*x^4-512*x^3+4096*x^2)/(16*x^8-256*x^6-32*x^5+1536*x^4+256*x^3-4080*x^2-512*x+4096)+ln(2+x+exp(-1/16*(-16*x^10+256*x^8+32*x^7+8*x^5*exp(x)-1536*x^6-256*x^5-64*exp(x)*x^3+4080*x^4-8*exp(x)*x^2+512*x^3+128*exp(x)*x-4096*x^2-exp(2*x))/(x^4-8*x^2-x+16)^2))","B"
7872,1,474,26,0.180000," ","int((((-3*x^6-60*x^5-450*x^4-1560*x^3-2475*x^2-1500*x-300)*exp(3+x)+6*x^4+60*x^3+150*x^2+60*x)*ln(((-x^3-10*x^2-25*x-10)*exp(3+x)+2*x)/(x^3+10*x^2+25*x+10))+(x^7+20*x^6+150*x^5+520*x^4+825*x^3+500*x^2+100*x)*exp(3+x)+4*x^4+20*x^3-20*x)/((x^10+20*x^9+150*x^8+520*x^7+825*x^6+500*x^5+100*x^4)*exp(3+x)-2*x^8-20*x^7-50*x^6-20*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x^{3} {\mathrm e}^{3+x}+10 x^{2} {\mathrm e}^{3+x}+\left(25 \,{\mathrm e}^{3+x}-2\right) x +10 \,{\mathrm e}^{3+x}\right)}{x^{3}}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(x^{3} {\mathrm e}^{3+x}+10 x^{2} {\mathrm e}^{3+x}+\left(25 \,{\mathrm e}^{3+x}-2\right) x +10 \,{\mathrm e}^{3+x}\right)\right) \mathrm{csgn}\left(\frac{i}{x^{3}+10 x^{2}+25 x +10}\right) \mathrm{csgn}\left(\frac{i \left(x^{3} {\mathrm e}^{3+x}+10 x^{2} {\mathrm e}^{3+x}+\left(25 \,{\mathrm e}^{3+x}-2\right) x +10 \,{\mathrm e}^{3+x}\right)}{x^{3}+10 x^{2}+25 x +10}\right)-i \pi  \,\mathrm{csgn}\left(i \left(x^{3} {\mathrm e}^{3+x}+10 x^{2} {\mathrm e}^{3+x}+\left(25 \,{\mathrm e}^{3+x}-2\right) x +10 \,{\mathrm e}^{3+x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3} {\mathrm e}^{3+x}+10 x^{2} {\mathrm e}^{3+x}+\left(25 \,{\mathrm e}^{3+x}-2\right) x +10 \,{\mathrm e}^{3+x}\right)}{x^{3}+10 x^{2}+25 x +10}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{3}+10 x^{2}+25 x +10}\right) \mathrm{csgn}\left(\frac{i \left(x^{3} {\mathrm e}^{3+x}+10 x^{2} {\mathrm e}^{3+x}+\left(25 \,{\mathrm e}^{3+x}-2\right) x +10 \,{\mathrm e}^{3+x}\right)}{x^{3}+10 x^{2}+25 x +10}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \left(x^{3} {\mathrm e}^{3+x}+10 x^{2} {\mathrm e}^{3+x}+\left(25 \,{\mathrm e}^{3+x}-2\right) x +10 \,{\mathrm e}^{3+x}\right)}{x^{3}+10 x^{2}+25 x +10}\right)^{3}+2 i \pi  \mathrm{csgn}\left(\frac{i \left(x^{3} {\mathrm e}^{3+x}+10 x^{2} {\mathrm e}^{3+x}+\left(25 \,{\mathrm e}^{3+x}-2\right) x +10 \,{\mathrm e}^{3+x}\right)}{x^{3}+10 x^{2}+25 x +10}\right)^{2}-2 i \pi +2 \ln \left(x^{3}+10 x^{2}+25 x +10\right)}{2 x^{3}}$&$474$\\ \hline \end{longtable}"," ",0,"1/x^3*ln(x^3*exp(3+x)+10*x^2*exp(3+x)+(25*exp(3+x)-2)*x+10*exp(3+x))-1/2*(I*Pi*csgn(I*(x^3*exp(3+x)+10*x^2*exp(3+x)+(25*exp(3+x)-2)*x+10*exp(3+x)))*csgn(I/(x^3+10*x^2+25*x+10))*csgn(I*(x^3*exp(3+x)+10*x^2*exp(3+x)+(25*exp(3+x)-2)*x+10*exp(3+x))/(x^3+10*x^2+25*x+10))-I*Pi*csgn(I*(x^3*exp(3+x)+10*x^2*exp(3+x)+(25*exp(3+x)-2)*x+10*exp(3+x)))*csgn(I*(x^3*exp(3+x)+10*x^2*exp(3+x)+(25*exp(3+x)-2)*x+10*exp(3+x))/(x^3+10*x^2+25*x+10))^2-I*Pi*csgn(I/(x^3+10*x^2+25*x+10))*csgn(I*(x^3*exp(3+x)+10*x^2*exp(3+x)+(25*exp(3+x)-2)*x+10*exp(3+x))/(x^3+10*x^2+25*x+10))^2-I*Pi*csgn(I*(x^3*exp(3+x)+10*x^2*exp(3+x)+(25*exp(3+x)-2)*x+10*exp(3+x))/(x^3+10*x^2+25*x+10))^3+2*I*Pi*csgn(I*(x^3*exp(3+x)+10*x^2*exp(3+x)+(25*exp(3+x)-2)*x+10*exp(3+x))/(x^3+10*x^2+25*x+10))^2-2*I*Pi+2*ln(x^3+10*x^2+25*x+10))/x^3","C"
7873,1,23,20,0.053000," ","int(1/3*(((-2*exp(x)*x+1)*ln(4*x)+1)*exp(2*exp(x))-4*ln(4*x)^2)/x^2/ln(4*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{3 x}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x}}}{3 \ln \left(4 x \right) x}$&$23$\\ \hline \end{longtable}"," ",0,"4/3/x-1/3/ln(4*x)/x*exp(2*exp(x))","A"
7874,1,23,25,0.140000," ","int(((-18*x^4+72*x^3-108*x^2+72*x)*exp((9*x^4-36*x^3+36*x^2)/(x^2-2*x+1))-2*x^3+6*x^2-6*x+2)/(x^3-3*x^2+3*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x -{\mathrm e}^{\frac{9 x^{2} \left(x -2\right)^{2}}{\left(x -1\right)^{2}}}$&$23$\\ norman&$\frac{6 x -2 x^{3}+2 x \,{\mathrm e}^{\frac{9 x^{4}-36 x^{3}+36 x^{2}}{x^{2}-2 x +1}}-x^{2} {\mathrm e}^{\frac{9 x^{4}-36 x^{3}+36 x^{2}}{x^{2}-2 x +1}}-{\mathrm e}^{\frac{9 x^{4}-36 x^{3}+36 x^{2}}{x^{2}-2 x +1}}-4}{\left(x -1\right)^{2}}$&$111$\\ \hline \end{longtable}"," ",0,"-2*x-exp(9*x^2*(x-2)^2/(x-1)^2)","A"
7875,1,24,26,0.232000," ","int(((-2*x^3+30*x)*exp(4*ln(1/3*x^2-5)^2)+16*x^2*ln(5/2*x)*ln(1/3*x^2-5)-x^2+15)/(x^3-15*x)/exp(4*ln(1/3*x^2-5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x -\ln \left(\frac{5 x}{2}\right) {\mathrm e}^{-4 \ln \left(\frac{x^{2}}{3}-5\right)^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"-2*x-ln(5/2*x)*exp(-4*ln(1/3*x^2-5)^2)","A"
7876,1,47,34,0.192000," ","int(((4*ln(2)^2+x^2-x)*exp((4*ln(2)^2-x*exp(4)-x)/x)*exp(ln(x)-x)+(-4*x*ln(2)^2+x^2)*exp((4*ln(2)^2-x*exp(4)-x)/x)+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-\frac{-4 \ln \left(2\right)^{2}+x \,{\mathrm e}^{4}+x}{x}}-x \,{\mathrm e}^{-\frac{-4 \ln \left(2\right)^{2}+x \,{\mathrm e}^{4}+x^{2}+x}{x}}+x$&$47$\\ default&$x +\frac{{\mathrm e}^{\frac{4 \ln \left(2\right)^{2}-x \,{\mathrm e}^{4}-x}{x}} x^{2}-{\mathrm e}^{\frac{4 \ln \left(2\right)^{2}-x \,{\mathrm e}^{4}-x}{x}} {\mathrm e}^{\ln \left(x \right)-x} x}{x}$&$62$\\ norman&$\frac{x^{2}+{\mathrm e}^{\frac{4 \ln \left(2\right)^{2}-x \,{\mathrm e}^{4}-x}{x}} x^{2}-{\mathrm e}^{\frac{4 \ln \left(2\right)^{2}-x \,{\mathrm e}^{4}-x}{x}} {\mathrm e}^{\ln \left(x \right)-x} x}{x}$&$63$\\ \hline \end{longtable}"," ",0,"x*exp(-(-4*ln(2)^2+x*exp(4)+x)/x)-x*exp(-(-4*ln(2)^2+x*exp(4)+x^2+x)/x)+x","A"
7877,0,0,17,0.023000," ","int(((-4*x^2+2)*exp(1)-4*x^3+4*x)*ln(ln(x*exp(1)+x^2)-x^2+6)/((x*exp(1)+x^2)*ln(x*exp(1)+x^2)+(-x^3+6*x)*exp(1)-x^4+6*x^2),x)","\[\int \frac{\left(\left(-4 x^{2}+2\right) {\mathrm e}-4 x^{3}+4 x \right) \ln \left(\ln \left(x \,{\mathrm e}+x^{2}\right)-x^{2}+6\right)}{\left(x \,{\mathrm e}+x^{2}\right) \ln \left(x \,{\mathrm e}+x^{2}\right)+\left(-x^{3}+6 x \right) {\mathrm e}-x^{4}+6 x^{2}}\, dx\]"," ",0,"int(((-4*x^2+2)*exp(1)-4*x^3+4*x)*ln(ln(x*exp(1)+x^2)-x^2+6)/((x*exp(1)+x^2)*ln(x*exp(1)+x^2)+(-x^3+6*x)*exp(1)-x^4+6*x^2),x)","F"
7878,1,14,15,0.256000," ","int(-1/(4*ln(2*ln(2))-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(\ln \left(2 \ln \left(2\right)\right)-x +1\right)}{4}$&$14$\\ norman&$\frac{\ln \left(4 \ln \left(2 \ln \left(2\right)\right)-4 x +4\right)}{4}$&$16$\\ risch&$\frac{\ln \left(-\ln \left(2\right)-\ln \left(\ln \left(2\right)\right)+x -1\right)}{4}$&$16$\\ meijerg&$-\frac{\left(-\ln \left(2 \ln \left(2\right)\right)-1\right) \ln \left(1-\frac{x}{\ln \left(2 \ln \left(2\right)\right)+1}\right)}{4 \ln \left(2 \ln \left(2\right)\right)+4}$&$38$\\ \hline \end{longtable}"," ",0,"1/4*ln(ln(2*ln(2))-x+1)","A"
7879,1,31,19,0.222000," ","int((((-2*x-6)*exp(1)*exp(x)+2*x+6)*ln(3+x)-2*exp(1)*exp(x)-32*exp(1)+3*x-5)/(3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\left(-8-32 \,{\mathrm e}\right) \ln \left(3+x \right)+2 x \ln \left(3+x \right)-2 \,{\mathrm e} \,{\mathrm e}^{x} \ln \left(3+x \right)$&$31$\\ risch&$\left(-2 \,{\mathrm e}^{x +1}+2 x \right) \ln \left(3+x \right)-32 \,{\mathrm e} \ln \left(3+x \right)-8 \ln \left(3+x \right)+x$&$32$\\ default&$-2 \,{\mathrm e} \,{\mathrm e}^{x} \ln \left(3+x \right)+x -32 \,{\mathrm e} \ln \left(3+x \right)-14 \ln \left(3+x \right)+2 \left(3+x \right) \ln \left(3+x \right)-6$&$37$\\ \hline \end{longtable}"," ",0,"x+(-8-32*exp(1))*ln(3+x)+2*x*ln(3+x)-2*exp(1)*exp(x)*ln(3+x)","A"
7880,1,22,20,0.053000," ","int(((-25*x+100)*ln(-x+4)-x^3+55*x^2-150*x-300)/((x^3-29*x^2+100*x)*ln(-x+4)-x^4+26*x^3-13*x^2-300*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x -25\right)+\ln \left(x \right)+\ln \left(x -\ln \left(-x +4\right)+3\right)$&$22$\\ risch&$-\ln \left(x -25\right)+\ln \left(x \right)+\ln \left(\ln \left(-x +4\right)-3-x \right)$&$22$\\ \hline \end{longtable}"," ",0,"-ln(x-25)+ln(x)+ln(x-ln(-x+4)+3)","A"
7881,1,177,26,0.158000," ","int((((-6*exp(x)*x^2-6*x^3-4*x^2+5*x)*ln((6*exp(x)*x+6*x^2+4*x-5)/x)+(-6*x^3+6*x)*exp(x)-6*x^3+6*x^2-x-5)*exp(x*ln((6*exp(x)*x+6*x^2+4*x-5)/x))+12*exp(x)*x+12*x^2+8*x-10)/((18*exp(x)*x+18*x^2+12*x-15)*exp(x*ln((6*exp(x)*x+6*x^2+4*x-5)/x))^2+(72*exp(x)*x+72*x^2+48*x-60)*exp(x*ln((6*exp(x)*x+6*x^2+4*x-5)/x))+72*exp(x)*x+72*x^2+48*x-60),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{3 \,{\mathrm e}^{\frac{x \left(-i \pi  \mathrm{csgn}\left(\frac{i \left(-\frac{5}{6}+x^{2}+\left(\frac{2}{3}+{\mathrm e}^{x}\right) x \right)}{x}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \left(-\frac{5}{6}+x^{2}+\left(\frac{2}{3}+{\mathrm e}^{x}\right) x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)+i \pi  \mathrm{csgn}\left(\frac{i \left(-\frac{5}{6}+x^{2}+\left(\frac{2}{3}+{\mathrm e}^{x}\right) x \right)}{x}\right)^{2} \mathrm{csgn}\left(i \left(-\frac{5}{6}+x^{2}+\left(\frac{2}{3}+{\mathrm e}^{x}\right) x \right)\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left(-\frac{5}{6}+x^{2}+\left(\frac{2}{3}+{\mathrm e}^{x}\right) x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-\frac{5}{6}+x^{2}+\left(\frac{2}{3}+{\mathrm e}^{x}\right) x \right)\right)-2 \ln \left(x \right)+2 \ln \left(2\right)+2 \ln \left(-\frac{5}{6}+x^{2}+\left(\frac{2}{3}+{\mathrm e}^{x}\right) x \right)+2 \ln \left(3\right)\right)}{2}}+6}$&$177$\\ \hline \end{longtable}"," ",0,"1/3*x/(exp(1/2*x*(-I*Pi*csgn(I/x*(-5/6+x^2+(2/3+exp(x))*x))^3+I*Pi*csgn(I/x*(-5/6+x^2+(2/3+exp(x))*x))^2*csgn(I/x)+I*Pi*csgn(I/x*(-5/6+x^2+(2/3+exp(x))*x))^2*csgn(I*(-5/6+x^2+(2/3+exp(x))*x))-I*Pi*csgn(I/x*(-5/6+x^2+(2/3+exp(x))*x))*csgn(I/x)*csgn(I*(-5/6+x^2+(2/3+exp(x))*x))-2*ln(x)+2*ln(2)+2*ln(-5/6+x^2+(2/3+exp(x))*x)+2*ln(3)))+2)","C"
7882,1,23,20,0.051000," ","int((120*x*ln(1/4*x)^2-120*x*ln(1/4*x)+120*x^2)/(ln(1/4*x)^4+(-2*x^2+4*x)*ln(1/4*x)^2+x^4-4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{60 x^{2}}{x^{2}-\ln \left(\frac{x}{4}\right)^{2}-2 x}$&$23$\\ risch&$-\frac{60 x^{2}}{x^{2}-\ln \left(\frac{x}{4}\right)^{2}-2 x}$&$23$\\ \hline \end{longtable}"," ",0,"-60*x^2/(x^2-ln(1/4*x)^2-2*x)","A"
7883,1,56,27,0.053000," ","int((-8*x^3*exp(x)^2*exp(exp(x)^2)^4+((-8*x^4-16*x^3)*exp(x)^2-2*x^3)*exp(exp(x)^2)^2+(-x^3-32)*ln(2)^2-2*x^4-4*x^3)/x^3/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{x^{2}}{\ln \left(2\right)^{2}}-\frac{4 x}{\ln \left(2\right)^{2}}+\frac{16}{x^{2}}-\frac{{\mathrm e}^{4 \,{\mathrm e}^{2 x}}}{\ln \left(2\right)^{2}}+\frac{\left(-2 x -4\right) {\mathrm e}^{2 \,{\mathrm e}^{2 x}}}{\ln \left(2\right)^{2}}$&$56$\\ \hline \end{longtable}"," ",0,"-x-x^2/ln(2)^2-4*x/ln(2)^2+16/x^2-1/ln(2)^2*exp(4*exp(2*x))+1/ln(2)^2*(-2*x-4)*exp(2*exp(2*x))","B"
7884,1,21,22,0.058000," ","int((-3*x*ln(6*x)^2+42*x*ln(6*x)+96*ln(2)^2-147*x)/(2*x*ln(2)*ln(6*x)^2-28*x*ln(2)*ln(6*x)+98*x*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\frac{3 x}{2 \ln \left(2\right)}-\frac{48 \ln \left(2\right)}{\ln \left(6 x \right)-7}$&$21$\\ default&$-\frac{3 x}{2 \ln \left(2\right)}-\frac{48 \ln \left(2\right)}{\ln \left(6 x \right)-7}$&$21$\\ risch&$-\frac{3 x}{2 \ln \left(2\right)}-\frac{48 \ln \left(2\right)}{\ln \left(6 x \right)-7}$&$21$\\ norman&$\frac{\frac{21 x}{2 \ln \left(2\right)}-\frac{3 x \ln \left(6 x \right)}{2 \ln \left(2\right)}-48 \ln \left(2\right)}{\ln \left(6 x \right)-7}$&$33$\\ \hline \end{longtable}"," ",0,"-3/2*x/ln(2)-48*ln(2)/(ln(6*x)-7)","A"
7885,1,17,18,0.253000," ","int(-2*x/(4*ln(2)-exp(5)+x^2-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\ln \left(4 \ln \left(2\right)-{\mathrm e}^{5}+x^{2}-6\right)$&$17$\\ default&$-\ln \left(6-x^{2}-4 \ln \left(2\right)+{\mathrm e}^{5}\right)$&$17$\\ norman&$-\ln \left(6-x^{2}-4 \ln \left(2\right)+{\mathrm e}^{5}\right)$&$17$\\ risch&$-\ln \left(4 \ln \left(2\right)-{\mathrm e}^{5}+x^{2}-6\right)$&$17$\\ meijerg&$\frac{\left({\mathrm e}^{5}-4 \ln \left(2\right)+6\right) \ln \left(1-\frac{x^{2}}{{\mathrm e}^{5}-4 \ln \left(2\right)+6}\right)}{-{\mathrm e}^{5}+4 \ln \left(2\right)-6}$&$40$\\ \hline \end{longtable}"," ",0,"-ln(4*ln(2)-exp(5)+x^2-6)","A"
7886,1,20,21,0.031000," ","int(-256*exp(exp(1)*ln(5)+exp(1)*exp(2)+2*x)/(32*exp(exp(1)*ln(5)+exp(1)*exp(2)+2*x)^5-240*exp(exp(1)*ln(5)+exp(1)*exp(2)+2*x)^4+720*exp(exp(1)*ln(5)+exp(1)*exp(2)+2*x)^3-1080*exp(exp(1)*ln(5)+exp(1)*exp(2)+2*x)^2+810*exp(exp(1)*ln(5)+exp(1)*exp(2)+2*x)-243),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16}{\left(2 \,5^{{\mathrm e}} {\mathrm e}^{2 x +{\mathrm e}^{3}}-3\right)^{4}}$&$20$\\ derivativedivides&$\frac{16}{\left(2 \,{\mathrm e}^{{\mathrm e} \ln \left(5\right)+{\mathrm e} \,{\mathrm e}^{2}+2 x}-3\right)^{4}}$&$24$\\ default&$\frac{16}{\left(2 \,{\mathrm e}^{{\mathrm e} \ln \left(5\right)+{\mathrm e} \,{\mathrm e}^{2}+2 x}-3\right)^{4}}$&$24$\\ norman&$\frac{16}{\left(2 \,{\mathrm e}^{{\mathrm e} \ln \left(5\right)+{\mathrm e} \,{\mathrm e}^{2}+2 x}-3\right)^{4}}$&$24$\\ \hline \end{longtable}"," ",0,"16/(2*5^exp(1)*exp(2*x+exp(3))-3)^4","A"
7887,1,27,32,0.243000," ","int((6*x^4*ln(2-x)+x^5-2*x^4-x^3+4*x^2-112*x+216)/(x^5-2*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-2+x -\frac{1}{x^{2}}+\frac{1}{x}+\frac{36}{x^{3}}+3 \ln \left(2-x \right)^{2}$&$27$\\ default&$-2+x -\frac{1}{x^{2}}+\frac{1}{x}+\frac{36}{x^{3}}+3 \ln \left(2-x \right)^{2}$&$27$\\ risch&$3 \ln \left(2-x \right)^{2}+\frac{x^{4}+x^{2}-x +36}{x^{3}}$&$27$\\ norman&$\frac{36+x^{2}+x^{4}-x +3 x^{3} \ln \left(2-x \right)^{2}}{x^{3}}$&$29$\\ \hline \end{longtable}"," ",0,"-2+x-1/x^2+1/x+36/x^3+3*ln(2-x)^2","A"
7888,1,27,25,0.090000," ","int((2*x^3*exp(4)^2*(ln(59/16)+I*Pi)+4)/x^2/exp(4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \,{\mathrm e}^{-8} \left(\frac{{\mathrm e}^{8} \left(\ln \left(\frac{59}{16}\right)+i \pi \right) x^{2}}{2}-\frac{2}{x}\right)$&$27$\\ risch&$i \pi  \,x^{2}-4 x^{2} \ln \left(2\right)+\ln \left(59\right) x^{2}-\frac{4 \,{\mathrm e}^{-8}}{x}$&$29$\\ norman&$\frac{\left({\mathrm e}^{4} \left(\ln \left(59\right)-4 \ln \left(2\right)+i \pi \right) x^{3}-4 \,{\mathrm e}^{-4}\right) {\mathrm e}^{-4}}{x}$&$33$\\ gosper&$\frac{\left(-i \ln \left(\frac{59}{16}\right) x^{3} {\mathrm e}^{8}+\pi  \,x^{3} {\mathrm e}^{8}+4 i\right) \left(i \pi  \,x^{3} {\mathrm e}^{8}+\ln \left(\frac{59}{16}\right) x^{3} {\mathrm e}^{8}+2\right) {\mathrm e}^{-8}}{x \left(-i \ln \left(\frac{59}{16}\right) x^{3} {\mathrm e}^{8}+\pi  \,x^{3} {\mathrm e}^{8}-2 i\right)}$&$82$\\ \hline \end{longtable}"," ",0,"2/exp(4)^2*(1/2*exp(8)*(ln(59/16)+I*Pi)*x^2-2/x)","A"
7889,1,40,29,0.036000," ","int((((-9*x^2+18*x)*exp(x)-18*x)*ln(x)^2+((-6*x^3+18*x^2+18*x)*exp(x)-18*x^2-18*x)*ln(x)+(-x^4+4*x^3+6*x^2)*exp(x)-4*x^3-6*x^2)/(9*exp(x)^2-18*exp(x)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} \ln \left(x \right)^{2}}{{\mathrm e}^{x}-1}+\frac{2 x^{3} \ln \left(x \right)}{3 \left({\mathrm e}^{x}-1\right)}+\frac{x^{4}}{9 \,{\mathrm e}^{x}-9}$&$40$\\ \hline \end{longtable}"," ",0,"x^2/(exp(x)-1)*ln(x)^2+2/3*x^3/(exp(x)-1)*ln(x)+1/9*x^4/(exp(x)-1)","A"
7890,1,16,16,0.036000," ","int((-exp(1/(4*ln(x)-4))+(4*exp(x)*x+8*x)*ln(x)^2+(-8*exp(x)*x-16*x)*ln(x)+4*exp(x)*x+8*x)/(4*x*ln(x)^2-8*x*ln(x)+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +{\mathrm e}^{x}+{\mathrm e}^{\frac{1}{4 \ln \left(x \right)-4}}$&$16$\\ default&$2 x +{\mathrm e}^{x}+\frac{4 \ln \left(x \right) {\mathrm e}^{\frac{1}{4 \ln \left(x \right)-4}}-4 \,{\mathrm e}^{\frac{1}{4 \ln \left(x \right)-4}}}{4 \ln \left(x \right)-4}$&$40$\\ \hline \end{longtable}"," ",0,"2*x+exp(x)+exp(1/4/(ln(x)-1))","A"
7891,1,85,28,0.233000," ","int((((3*x-3)*ln(x-1)+9*x^3-9*x^2+3)*ln(ln(5))^4+((-12*x^2+12*x)*ln(x-1)-24*x^4+24*x^3+6*x^2-12*x)*ln(ln(5))^2+(9*x^3-9*x^2+6*x-6)*ln(x-1)+15*x^5-15*x^4+12*x^3-9*x^2+6)/(x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(3 \ln \left(\ln \left(5\right)\right)^{4} x -6 x^{2} \ln \left(\ln \left(5\right)\right)^{2}+3 x^{3}+6 x \right) \ln \left(x -1\right)+3 \ln \left(\ln \left(5\right)\right)^{4} x^{3}-6 \ln \left(\ln \left(5\right)\right)^{2} x^{4}-3 \ln \left(\ln \left(5\right)\right)^{4} x +3 x^{5}+6 x^{2} \ln \left(\ln \left(5\right)\right)^{2}+3 x^{3}-6 x$&$85$\\ norman&$\left(-6-3 \ln \left(\ln \left(5\right)\right)^{4}\right) x +\left(3+3 \ln \left(\ln \left(5\right)\right)^{4}\right) x^{3}+\left(3 \ln \left(\ln \left(5\right)\right)^{4}+6\right) x \ln \left(x -1\right)+3 x^{5}+6 x^{2} \ln \left(\ln \left(5\right)\right)^{2}+3 \ln \left(x -1\right) x^{3}-6 \ln \left(\ln \left(5\right)\right)^{2} x^{4}-6 \ln \left(x -1\right) \ln \left(\ln \left(5\right)\right)^{2} x^{2}$&$89$\\ derivativedivides&$3 \ln \left(\ln \left(5\right)\right)^{4} \left(x -1\right)^{3}+3 \ln \left(\ln \left(5\right)\right)^{4} \left(\left(x -1\right) \ln \left(x -1\right)-x +1\right)+9 \ln \left(\ln \left(5\right)\right)^{4} \left(x -1\right)^{2}-6 \ln \left(\ln \left(5\right)\right)^{2} \left(x -1\right)^{4}-12 \ln \left(\ln \left(5\right)\right)^{2} \left(\frac{\ln \left(x -1\right) \left(x -1\right)^{2}}{2}-\frac{\left(x -1\right)^{2}}{4}\right)+9 \ln \left(\ln \left(5\right)\right)^{4} \left(x -1\right)-24 \ln \left(\ln \left(5\right)\right)^{2} \left(x -1\right)^{3}+3 \left(x -1\right)^{5}-12 \ln \left(\ln \left(5\right)\right)^{2} \left(\left(x -1\right) \ln \left(x -1\right)-x +1\right)+3 \ln \left(x -1\right) \left(x -1\right)^{3}+33 \left(x -1\right)^{3}+3 \ln \left(x -1\right) \ln \left(\ln \left(5\right)\right)^{4}-33 \ln \left(\ln \left(5\right)\right)^{2} \left(x -1\right)^{2}+15 \left(x -1\right)^{4}+9 \ln \left(x -1\right) \left(x -1\right)^{2}+39 \left(x -1\right)^{2}-24 \ln \left(\ln \left(5\right)\right)^{2} \left(x -1\right)+15 \left(x -1\right) \ln \left(x -1\right)+18 x -18-6 \ln \left(x -1\right) \ln \left(\ln \left(5\right)\right)^{2}+9 \ln \left(x -1\right)$&$239$\\ default&$3 \ln \left(\ln \left(5\right)\right)^{4} \left(x -1\right)^{3}+3 \ln \left(\ln \left(5\right)\right)^{4} \left(\left(x -1\right) \ln \left(x -1\right)-x +1\right)+9 \ln \left(\ln \left(5\right)\right)^{4} \left(x -1\right)^{2}-6 \ln \left(\ln \left(5\right)\right)^{2} \left(x -1\right)^{4}-12 \ln \left(\ln \left(5\right)\right)^{2} \left(\frac{\ln \left(x -1\right) \left(x -1\right)^{2}}{2}-\frac{\left(x -1\right)^{2}}{4}\right)+9 \ln \left(\ln \left(5\right)\right)^{4} \left(x -1\right)-24 \ln \left(\ln \left(5\right)\right)^{2} \left(x -1\right)^{3}+3 \left(x -1\right)^{5}-12 \ln \left(\ln \left(5\right)\right)^{2} \left(\left(x -1\right) \ln \left(x -1\right)-x +1\right)+3 \ln \left(x -1\right) \left(x -1\right)^{3}+33 \left(x -1\right)^{3}+3 \ln \left(x -1\right) \ln \left(\ln \left(5\right)\right)^{4}-33 \ln \left(\ln \left(5\right)\right)^{2} \left(x -1\right)^{2}+15 \left(x -1\right)^{4}+9 \ln \left(x -1\right) \left(x -1\right)^{2}+39 \left(x -1\right)^{2}-24 \ln \left(\ln \left(5\right)\right)^{2} \left(x -1\right)+15 \left(x -1\right) \ln \left(x -1\right)+18 x -18-6 \ln \left(x -1\right) \ln \left(\ln \left(5\right)\right)^{2}+9 \ln \left(x -1\right)$&$239$\\ \hline \end{longtable}"," ",0,"(3*ln(ln(5))^4*x-6*x^2*ln(ln(5))^2+3*x^3+6*x)*ln(x-1)+3*ln(ln(5))^4*x^3-6*ln(ln(5))^2*x^4-3*ln(ln(5))^4*x+3*x^5+6*x^2*ln(ln(5))^2+3*x^3-6*x","B"
7892,1,27,40,0.021000," ","int(-32*ln((-2*ln(2)-2)/(2*ln(2)-1))+32*x-128,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-16 x \left(-x +2 \ln \left(\frac{-2 \ln \left(2\right)-2}{2 \ln \left(2\right)-1}\right)+8\right)$&$27$\\ default&$-32 \ln \left(\frac{-2 \ln \left(2\right)-2}{2 \ln \left(2\right)-1}\right) x +16 x^{2}-128 x$&$29$\\ norman&$\left(-32 \ln \left(2\right)-32 \ln \left(1+\ln \left(2\right)\right)+32 \ln \left(2 \ln \left(2\right)-1\right)-32 i \pi -128\right) x +16 x^{2}$&$35$\\ risch&$-32 i \pi  x -32 x \ln \left(2\right)-32 \ln \left(1+\ln \left(2\right)\right) x +32 \ln \left(2 \ln \left(2\right)-1\right) x +16 x^{2}-128 x$&$38$\\ \hline \end{longtable}"," ",0,"-16*x*(-x+2*ln((-2*ln(2)-2)/(2*ln(2)-1))+8)","A"
7893,1,42,30,0.247000," ","int((((-2*x^3+x^2)*exp(2)-2*x^3+5*x^2-2*x)*ln(5)*ln((x^2*exp(2)^2+(2*x^2-4*x)*exp(2)+x^2-4*x+4)/x^2)^2+4*ln(5))/(x^2*exp(2)+x^2-2*x)/ln((x^2*exp(2)^2+(2*x^2-4*x)*exp(2)+x^2-4*x+4)/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\ln \left(5\right) \left(x^{2}-x +\frac{1}{\ln \left({\mathrm e}^{4}-\frac{4 \,{\mathrm e}^{2}}{x}+\frac{4}{x^{2}}+2 \,{\mathrm e}^{2}-\frac{4}{x}+1\right)}\right)$&$42$\\ default&$-\ln \left(5\right) \left(x^{2}-x +\frac{1}{\ln \left({\mathrm e}^{4}-\frac{4 \,{\mathrm e}^{2}}{x}+\frac{4}{x^{2}}+2 \,{\mathrm e}^{2}-\frac{4}{x}+1\right)}\right)$&$42$\\ risch&$-\ln \left(5\right) x \left(x -1\right)-\frac{\ln \left(5\right)}{\ln \left(\frac{x^{2} {\mathrm e}^{4}+\left(2 x^{2}-4 x \right) {\mathrm e}^{2}+x^{2}-4 x +4}{x^{2}}\right)}$&$47$\\ norman&$\frac{x \ln \left(5\right) \ln \left(\frac{x^{2} {\mathrm e}^{4}+\left(2 x^{2}-4 x \right) {\mathrm e}^{2}+x^{2}-4 x +4}{x^{2}}\right)-x^{2} \ln \left(5\right) \ln \left(\frac{x^{2} {\mathrm e}^{4}+\left(2 x^{2}-4 x \right) {\mathrm e}^{2}+x^{2}-4 x +4}{x^{2}}\right)-\ln \left(5\right)}{\ln \left(\frac{x^{2} {\mathrm e}^{4}+\left(2 x^{2}-4 x \right) {\mathrm e}^{2}+x^{2}-4 x +4}{x^{2}}\right)}$&$119$\\ \hline \end{longtable}"," ",0,"-ln(5)*(x^2-x+1/ln(exp(2)^2-4*exp(2)/x+4/x^2+2*exp(2)-4/x+1))","A"
7894,1,15,21,0.090000," ","int(1/5*(-6*x^2*exp(5)^2*exp(x^2)-3)*exp(exp(5)^2*exp(x^2))+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\frac{3 \,{\mathrm e}^{{\mathrm e}^{x^{2}+10}} x}{5}$&$15$\\ default&$2 x -\frac{3 \,{\mathrm e}^{{\mathrm e}^{10} {\mathrm e}^{x^{2}}} x}{5}$&$18$\\ norman&$2 x -\frac{3 \,{\mathrm e}^{{\mathrm e}^{10} {\mathrm e}^{x^{2}}} x}{5}$&$18$\\ \hline \end{longtable}"," ",0,"2*x-3/5*exp(exp(x^2+10))*x","A"
7895,1,18,19,0.037000," ","int(((-x-1)*ln(x+1)^2+(-2*x^2+6*x+8)*ln(x+1)+9*x^2-8*x-16)/((x+1)*ln(x+1)^2+(-8*x-8)*ln(x+1)+16*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{x^{2}}{\ln \left(x +1\right)-4}$&$18$\\ norman&$\frac{4 x -x^{2}-\ln \left(x +1\right) x}{\ln \left(x +1\right)-4}$&$26$\\ \hline \end{longtable}"," ",0,"-x-x^2/(ln(x+1)-4)","A"
7896,1,11,17,0.079000," ","int(1/6*(23*x-6)*exp(3)*exp(23/12*x+5)^2/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{13+\frac{23 x}{6}}}{x}$&$11$\\ gosper&$\frac{{\mathrm e}^{3} {\mathrm e}^{\frac{23 x}{6}+10}}{x}$&$15$\\ derivativedivides&$\frac{{\mathrm e}^{3} {\mathrm e}^{\frac{23 x}{6}+10}}{x}$&$15$\\ default&$\frac{{\mathrm e}^{3} {\mathrm e}^{\frac{23 x}{6}+10}}{x}$&$15$\\ norman&$\frac{{\mathrm e}^{3} {\mathrm e}^{\frac{23 x}{6}+10}}{x}$&$15$\\ meijerg&$\frac{23 \,{\mathrm e}^{23-\frac{23 x \,{\mathrm e}^{10}}{6}+\frac{23 x}{6}} \left(\frac{6 \,{\mathrm e}^{-10}}{23 x}-9-\ln \left(x \right)-\ln \left(23\right)+\ln \left(2\right)+\ln \left(3\right)-i \pi -\frac{3 \,{\mathrm e}^{-10} \left(2+\frac{23 x \,{\mathrm e}^{10}}{3}\right)}{23 x}+\frac{6 \,{\mathrm e}^{-10+\frac{23 x \,{\mathrm e}^{10}}{6}}}{23 x}+\ln \left(-\frac{23 x \,{\mathrm e}^{10}}{6}\right)+\expIntegralEi \left(1, -\frac{23 x \,{\mathrm e}^{10}}{6}\right)\right)}{6}+\frac{23 \,{\mathrm e}^{13-\frac{23 x \,{\mathrm e}^{10}}{6}+\frac{23 x}{6}} \left(\ln \left(x \right)+\ln \left(23\right)-\ln \left(2\right)-\ln \left(3\right)+10+i \pi -\ln \left(-\frac{23 x \,{\mathrm e}^{10}}{6}\right)-\expIntegralEi \left(1, -\frac{23 x \,{\mathrm e}^{10}}{6}\right)\right)}{6}$&$128$\\ \hline \end{longtable}"," ",0,"1/x*exp(13+23/6*x)","A"
7897,1,58,19,0.269000," ","int(((5*exp(x)*x^2-5*x^2*exp(4)+5*x^3-5*x^2+2*x)*ln(1/5*(5*exp(x)*x-5*x*exp(4)+5*x^2-5*x+2)/x)+(5*x^3+10*x^2)*exp(x)+5*x^3+10*x^2-2*x-4)/(5*exp(x)*x^2-5*x^2*exp(4)+5*x^3-5*x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\frac{5 \,{\mathrm e}^{x} x -5 x \,{\mathrm e}^{4}+5 x^{2}-5 x +2}{5 x}\right)+2 \ln \left(\frac{5 \,{\mathrm e}^{x} x -5 x \,{\mathrm e}^{4}+5 x^{2}-5 x +2}{5 x}\right)$&$58$\\ risch&$x \ln \left(x \,{\mathrm e}^{4}-\frac{2}{5}-x^{2}+\left(1-{\mathrm e}^{x}\right) x \right)-x \ln \left(x \right)+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4}-\frac{2}{5}-x^{2}+\left(1-{\mathrm e}^{x}\right) x \right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-\frac{2}{5}-x^{2}+\left(1-{\mathrm e}^{x}\right) x \right)}{x}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4}-\frac{2}{5}-x^{2}+\left(1-{\mathrm e}^{x}\right) x \right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-\frac{2}{5}-x^{2}+\left(1-{\mathrm e}^{x}\right) x \right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-\frac{2}{5}-x^{2}+\left(1-{\mathrm e}^{x}\right) x \right)}{x}\right)^{3}}{2}-i \pi  x \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-\frac{2}{5}-x^{2}+\left(1-{\mathrm e}^{x}\right) x \right)}{x}\right)^{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-\frac{2}{5}-x^{2}+\left(1-{\mathrm e}^{x}\right) x \right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)}{2}+i \pi  x +2 \ln \left({\mathrm e}^{x}-\frac{5 x \,{\mathrm e}^{4}-5 x^{2}+5 x -2}{5 x}\right)$&$283$\\ \hline \end{longtable}"," ",0,"x*ln(1/5*(5*exp(x)*x-5*x*exp(4)+5*x^2-5*x+2)/x)+2*ln(1/5*(5*exp(x)*x-5*x*exp(4)+5*x^2-5*x+2)/x)","B"
7898,1,31,22,0.051000," ","int(((x^2-2*x)*exp(2)-x^3+x^2+4*x)/((x^2-4*x+4)*exp(2)-x^3+4*x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x^{3}+\left(-{\mathrm e}^{2}-4\right) x^{2}+\left(4 \,{\mathrm e}^{2}+4\right) x -4 \,{\mathrm e}^{2}-4\right)$&$31$\\ default&$x +\ln \left(-4+x^{3}-4 x^{2}+4 x -x^{2} {\mathrm e}^{2}+4 \,{\mathrm e}^{2} x -4 \,{\mathrm e}^{2}\right)$&$33$\\ norman&$x +\ln \left(x^{2} {\mathrm e}^{2}-x^{3}-4 \,{\mathrm e}^{2} x +4 x^{2}+4 \,{\mathrm e}^{2}-4 x +4\right)$&$34$\\ \hline \end{longtable}"," ",0,"x+ln(x^3+(-exp(2)-4)*x^2+(4*exp(2)+4)*x-4*exp(2)-4)","A"
7899,1,31,29,0.053000," ","int(1/2*(((-4*x^3-16*x^2)*ln(x)-2*x^3-24*x^2-42*x+168)*exp(((x^3+8*x^2+21*x)*ln(x)+4*x^2+32*x+84)/x)+4*x^2+1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{\left(x^{2}+8 x +21\right) \left(x \ln \left(x \right)+4\right)}{x}}+2 x -\frac{1}{2 x}$&$31$\\ default&$-{\mathrm e}^{\frac{\left(x^{3}+8 x^{2}+21 x \right) \ln \left(x \right)+4 x^{2}+32 x +84}{x}}+2 x -\frac{1}{2 x}$&$42$\\ norman&$\frac{-\frac{1}{2}+2 x^{2}-x \,{\mathrm e}^{\frac{\left(x^{3}+8 x^{2}+21 x \right) \ln \left(x \right)+4 x^{2}+32 x +84}{x}}}{x}$&$45$\\ \hline \end{longtable}"," ",0,"-exp((x^2+8*x+21)*(x*ln(x)+4)/x)+2*x-1/2/x","A"
7900,1,21,19,0.021000," ","int((2*x^2*ln(x)^4+(4*x^2+4)*ln(x)^3+exp(x)*x+3*x^3+2*x^2+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}+1\right) \ln \left(x \right)^{4}+x^{3}+x^{2}+x +{\mathrm e}^{x}$&$21$\\ default&$x^{3}+x^{2}+x +x^{2} \ln \left(x \right)^{4}+\ln \left(x \right)^{4}+{\mathrm e}^{x}$&$23$\\ \hline \end{longtable}"," ",0,"(x^2+1)*ln(x)^4+x^3+x^2+x+exp(x)","A"
7901,0,0,27,0.023000," ","int((((2*(-2*x^2+6*x-4)*ln(2)*ln(2-x)+4*x*ln(2))*ln(x)+2*(2*x^3-8*x^2+10*x-4)*ln(2)*ln(2-x)-4*x^2*ln(2)+20-10*x)*ln(-2*x*ln(2)*ln(2-x)*ln(x)+2*x^2*ln(2)*ln(2-x)-5)+(2*(2*x^3-4*x^2-2*x+4)*ln(2)*ln(2-x)+2*(-2*x^2-2*x)*ln(2))*ln(x)+2*(-2*x^4+6*x^3-2*x^2-6*x+4)*ln(2)*ln(2-x)+2*(2*x^3+2*x^2)*ln(2)+10*x^2-10*x-20)/(2*(x^2-2*x)*ln(2)*ln(2-x)*ln(x)+2*(-x^3+2*x^2)*ln(2)*ln(2-x)+5*x-10),x)","\[\int \frac{\left(\left(2 \left(-2 x^{2}+6 x -4\right) \ln \left(2\right) \ln \left(2-x \right)+4 x \ln \left(2\right)\right) \ln \left(x \right)+2 \left(2 x^{3}-8 x^{2}+10 x -4\right) \ln \left(2\right) \ln \left(2-x \right)-4 x^{2} \ln \left(2\right)+20-10 x \right) \ln \left(-2 x \ln \left(2\right) \ln \left(2-x \right) \ln \left(x \right)+2 x^{2} \ln \left(2\right) \ln \left(2-x \right)-5\right)+\left(2 \left(2 x^{3}-4 x^{2}-2 x +4\right) \ln \left(2\right) \ln \left(2-x \right)+2 \left(-2 x^{2}-2 x \right) \ln \left(2\right)\right) \ln \left(x \right)+2 \left(-2 x^{4}+6 x^{3}-2 x^{2}-6 x +4\right) \ln \left(2\right) \ln \left(2-x \right)+2 \left(2 x^{3}+2 x^{2}\right) \ln \left(2\right)+10 x^{2}-10 x -20}{2 \left(x^{2}-2 x \right) \ln \left(2\right) \ln \left(2-x \right) \ln \left(x \right)+2 \left(-x^{3}+2 x^{2}\right) \ln \left(2\right) \ln \left(2-x \right)+5 x -10}\, dx\]"," ",0,"int((((2*(-2*x^2+6*x-4)*ln(2)*ln(2-x)+4*x*ln(2))*ln(x)+2*(2*x^3-8*x^2+10*x-4)*ln(2)*ln(2-x)-4*x^2*ln(2)+20-10*x)*ln(-2*x*ln(2)*ln(2-x)*ln(x)+2*x^2*ln(2)*ln(2-x)-5)+(2*(2*x^3-4*x^2-2*x+4)*ln(2)*ln(2-x)+2*(-2*x^2-2*x)*ln(2))*ln(x)+2*(-2*x^4+6*x^3-2*x^2-6*x+4)*ln(2)*ln(2-x)+2*(2*x^3+2*x^2)*ln(2)+10*x^2-10*x-20)/(2*(x^2-2*x)*ln(2)*ln(2-x)*ln(x)+2*(-x^3+2*x^2)*ln(2)*ln(2-x)+5*x-10),x)","F"
7902,1,29,30,0.171000," ","int(((8*x^5+8)*exp((exp(ln(x)+ln(3))-x^5+4)/x)-2*x)*exp(exp((exp(ln(x)+ln(3))-x^5+4)/x))^2+10*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2} {\mathrm e}^{2 \,{\mathrm e}^{-\frac{x^{5}-3 x -4}{x}}}+5 x^{2}$&$29$\\ risch&$-x^{2} {\mathrm e}^{2 \,{\mathrm e}^{-\frac{x^{5}-3 x -4}{x}}}+5 x^{2}$&$29$\\ \hline \end{longtable}"," ",0,"-x^2*exp(2*exp(-(x^5-3*x-4)/x))+5*x^2","A"
7903,1,470,23,0.225000," ","int(((-exp(exp(exp(x^2+7)))+ln(x))*ln((x*exp(exp(exp(x^2+7)))-x*ln(x))/exp(exp(exp(x^2+7))))+exp(exp(exp(x^2+7)))+2*x^2*exp(x^2+7)*ln(x)*exp(exp(x^2+7))-ln(x)-1)/(x^2*exp(exp(exp(x^2+7)))-x^2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left({\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}\right)}{x}+\frac{-i \pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x^{2}+7}}} \left(-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}+\ln \left(x \right)\right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x^{2}+7}}} \left(-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}+\ln \left(x \right)\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x^{2}+7}}} \left(-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}+\ln \left(x \right)\right)\right)^{2}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x^{2}+7}}} \left(-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}+\ln \left(x \right)\right)\right)^{3}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x^{2}+7}}} \left(-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i x \left(-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}+\ln \left(x \right)\right) {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x^{2}+7}}} \left(-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i x \left(-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}+\ln \left(x \right)\right) {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}\right) \mathrm{csgn}\left(i x \right)+i \pi  \mathrm{csgn}\left(i x \left(-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}+\ln \left(x \right)\right) {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}\right)^{3}-2 i \pi  \mathrm{csgn}\left(i x \left(-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}+\ln \left(x \right)\right) {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}\right)^{2}+i \pi  \mathrm{csgn}\left(i x \left(-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}+\ln \left(x \right)\right) {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}\right)^{2} \mathrm{csgn}\left(i x \right)+2 i \pi +2 \ln \left(x \right)+2 \ln \left(-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x^{2}+7}}}+\ln \left(x \right)\right)}{2 x}$&$470$\\ \hline \end{longtable}"," ",0,"-1/x*ln(exp(exp(exp(x^2+7))))+1/2*(-I*Pi*csgn(I*(-exp(exp(exp(x^2+7)))+ln(x)))*csgn(I*exp(-exp(exp(x^2+7))))*csgn(I*exp(-exp(exp(x^2+7)))*(-exp(exp(exp(x^2+7)))+ln(x)))+I*Pi*csgn(I*(-exp(exp(exp(x^2+7)))+ln(x)))*csgn(I*exp(-exp(exp(x^2+7)))*(-exp(exp(exp(x^2+7)))+ln(x)))^2+I*Pi*csgn(I*exp(-exp(exp(x^2+7))))*csgn(I*exp(-exp(exp(x^2+7)))*(-exp(exp(exp(x^2+7)))+ln(x)))^2-I*Pi*csgn(I*exp(-exp(exp(x^2+7)))*(-exp(exp(exp(x^2+7)))+ln(x)))^3+I*Pi*csgn(I*exp(-exp(exp(x^2+7)))*(-exp(exp(exp(x^2+7)))+ln(x)))*csgn(I*x*(-exp(exp(exp(x^2+7)))+ln(x))*exp(-exp(exp(x^2+7))))^2-I*Pi*csgn(I*exp(-exp(exp(x^2+7)))*(-exp(exp(exp(x^2+7)))+ln(x)))*csgn(I*x*(-exp(exp(exp(x^2+7)))+ln(x))*exp(-exp(exp(x^2+7))))*csgn(I*x)+I*Pi*csgn(I*x*(-exp(exp(exp(x^2+7)))+ln(x))*exp(-exp(exp(x^2+7))))^3-2*I*Pi*csgn(I*x*(-exp(exp(exp(x^2+7)))+ln(x))*exp(-exp(exp(x^2+7))))^2+I*Pi*csgn(I*x*(-exp(exp(exp(x^2+7)))+ln(x))*exp(-exp(exp(x^2+7))))^2*csgn(I*x)+2*I*Pi+2*ln(x)+2*ln(-exp(exp(exp(x^2+7)))+ln(x)))/x","C"
7904,1,37,27,0.149000," ","int(((-4*exp(x)-7)*ln(-20*exp(x)*x^2-35*x^2)^2+(-36*exp(x)-63)*ln(-20*exp(x)*x^2-35*x^2)+(-36*x-72)*exp(x)-126)/(4*exp(x)*x^2+7*x^2)/ln(-20*exp(x)*x^2-35*x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{9+\ln \left(-20 \,{\mathrm e}^{x} x^{2}-35 x^{2}\right)}{x \ln \left(-20 \,{\mathrm e}^{x} x^{2}-35 x^{2}\right)}$&$37$\\ risch&$\frac{1}{x}-\frac{18 i}{x \left(\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+\frac{7}{4}\right)\right) \mathrm{csgn}\left(i x^{2} \left({\mathrm e}^{x}+\frac{7}{4}\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+\frac{7}{4}\right)\right) \mathrm{csgn}\left(i x^{2} \left({\mathrm e}^{x}+\frac{7}{4}\right)\right) \mathrm{csgn}\left(i x^{2}\right)+\pi  \mathrm{csgn}\left(i x^{2} \left({\mathrm e}^{x}+\frac{7}{4}\right)\right)^{3}-2 \pi  \mathrm{csgn}\left(i x^{2} \left({\mathrm e}^{x}+\frac{7}{4}\right)\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2} \left({\mathrm e}^{x}+\frac{7}{4}\right)\right)^{2} \mathrm{csgn}\left(i x^{2}\right)-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 \pi -2 i \ln \left(5\right)-4 i \ln \left(x \right)-2 i \ln \left({\mathrm e}^{x}+\frac{7}{4}\right)\right)}$&$186$\\ \hline \end{longtable}"," ",0,"(9+ln(-20*exp(x)*x^2-35*x^2))/x/ln(-20*exp(x)*x^2-35*x^2)","A"
7905,1,58,26,3.590000," ","int(((-24*x^2-4)*exp(exp(5))+4*ln(5)+4*I*Pi+32*x^3+8*x)/(((ln(5)+I*Pi)^2+(4*x^3+2*x)*(ln(5)+I*Pi)+4*x^6+4*x^4+x^2)*exp(exp(5))^2+(-2*x*(ln(5)+I*Pi)^2+(-8*x^4-4*x^2)*(ln(5)+I*Pi)-8*x^7-8*x^5-2*x^3)*exp(exp(5))+x^2*(ln(5)+I*Pi)^2+(4*x^5+2*x^3)*(ln(5)+I*Pi)+4*x^8+4*x^6+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 i}{-2 i {\mathrm e}^{{\mathrm e}^{5}} x^{3}+2 i x^{4}-i \ln \left(5\right) {\mathrm e}^{{\mathrm e}^{5}}+i x \ln \left(5\right)-i {\mathrm e}^{{\mathrm e}^{5}} x +i x^{2}+\pi  \,{\mathrm e}^{{\mathrm e}^{5}}-\pi  x}$&$58$\\ norman&$\frac{8 x^{3}+4 x -4 i \pi +4 \ln \left(5\right)}{\left({\mathrm e}^{{\mathrm e}^{5}}-x \right) \left(4 x^{6}+4 x^{3} \ln \left(5\right)+4 x^{4}+\pi^{2}+\ln \left(5\right)^{2}+2 x \ln \left(5\right)+x^{2}\right)}$&$63$\\ \hline \end{longtable}"," ",0,"-4*I/(-2*I*exp(exp(5))*x^3+2*I*x^4-I*ln(5)*exp(exp(5))+I*x*ln(5)-I*exp(exp(5))*x+I*x^2+Pi*exp(exp(5))-Pi*x)","B"
7906,1,19,22,0.035000," ","int((12*x^3*ln(x^2)-3*x^7-12*x^3)/(16*x^8+128*x^4+256)/ln(x^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x^{4}}{64 \left(x^{4}+4\right) \ln \left(x^{2}\right)^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"3/64*x^4/(x^4+4)/ln(x^2)^2","A"
7907,1,33,26,0.288000," ","int(((3*x^2+18*x+27)*ln(x^2)+(2*x^3+9*x^2)*ln(x)+7*x^3+45*x^2+90*x+54)/(3*x^2+18*x+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+\frac{x^{2} \ln \left(x \right)}{3}-x \ln \left(x \right)+\frac{3 \ln \left(x \right) x}{3+x}+x \ln \left(x^{2}\right)$&$33$\\ risch&$\frac{\left(x^{3}+6 x^{2}+9 x -27\right) \ln \left(x \right)}{3 x +9}-\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}+i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+x^{2}+3 \ln \left(x \right)$&$83$\\ \hline \end{longtable}"," ",0,"x^2+1/3*x^2*ln(x)-x*ln(x)+3*ln(x)*x/(3+x)+x*ln(x^2)","A"
7908,1,98,31,0.201000," ","int((((ln(3)+I*Pi)*ln(x)-x*(ln(3)+I*Pi)*ln(2)-x)*ln(-(ln(3)+I*Pi)*ln(x)+x*(ln(3)+I*Pi)*ln(2)+x)+(-x*(ln(3)+I*Pi)*ln(2)+ln(3)+I*Pi-x)*ln(3*x)-x*(ln(3)+I*Pi)*ln(x)+(x^2+4*x)*(ln(3)+I*Pi)*ln(2)-4*ln(3)-4*I*Pi+x^2+4*x)/(x*(ln(3)+I*Pi)*ln(x)-x^2*(ln(3)+I*Pi)*ln(2)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right) \ln \left(-\left(\ln \left(3\right)+i \pi \right) \ln \left(x \right)+x \left(\ln \left(3\right)+i \pi \right) \ln \left(2\right)+x \right)-x +\ln \left(3\right) \ln \left(\ln \left(x \right)-\frac{x \left(-i \ln \left(2\right) \ln \left(3\right)-i+\pi  \ln \left(2\right)\right)}{\pi -i \ln \left(3\right)}\right)-4 \ln \left(\ln \left(x \right)-\frac{x \left(-i \ln \left(2\right) \ln \left(3\right)-i+\pi  \ln \left(2\right)\right)}{\pi -i \ln \left(3\right)}\right)$&$98$\\ \hline \end{longtable}"," ",0,"ln(x)*ln(-(ln(3)+I*Pi)*ln(x)+x*(ln(3)+I*Pi)*ln(2)+x)-x+ln(3)*ln(ln(x)-x*(-I*ln(2)*ln(3)-I+Pi*ln(2))/(Pi-I*ln(3)))-4*ln(ln(x)-x*(-I*ln(2)*ln(3)-I+Pi*ln(2))/(Pi-I*ln(3)))","B"
7909,1,36,27,0.115000," ","int((-4*x^2*ln(2)-4*x^2-1)/(2*x^2*ln(6/exp(x))-4*x^3*ln(2)-2*x^2*exp(7)-2*x^3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)+\ln \left(4 x^{2} \ln \left(2\right)+2 x \,{\mathrm e}^{7}+2 x^{2}-2 x \ln \left(6 \,{\mathrm e}^{-x}\right)-1\right)$&$36$\\ risch&$\ln \left(\ln \left({\mathrm e}^{x}\right)-\frac{i \left(4 i x^{2} \ln \left(2\right)-2 i x \ln \left(3\right)+2 i x \,{\mathrm e}^{7}-2 i x \ln \left(2\right)+2 i x^{2}-i\right)}{2 x}\right)$&$47$\\ default&$-\ln \left(x \right)+\ln \left(4 x^{2} \ln \left(2\right)+2 x \,{\mathrm e}^{7}+4 x^{2}-2 x \left(\ln \left(6 \,{\mathrm e}^{-x}\right)+\ln \left({\mathrm e}^{x}\right)\right)+2 x \left(\ln \left({\mathrm e}^{x}\right)-x \right)-1\right)$&$50$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(4*x^2*ln(2)+2*x*exp(7)+2*x^2-2*x*ln(6/exp(x))-1)","A"
7910,1,73,29,0.067000," ","int(1/5*(((20*exp(x)*x-20*ln(6))*ln(x)-20*ln(6))*exp(exp(x)/ln(6))+(2*x^3-x^2+20)*ln(6)*ln(x)+(-x^3+x^2+20)*ln(6))/x^2/ln(6)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3} \ln \left(2\right)+x^{3} \ln \left(3\right)-x^{2} \ln \left(2\right)-x^{2} \ln \left(3\right)-20 \ln \left(2\right)-20 \ln \left(3\right)}{5 \left(\ln \left(2\right)+\ln \left(3\right)\right) x \ln \left(x \right)}+\frac{4 \,{\mathrm e}^{\frac{{\mathrm e}^{x}}{\ln \left(2\right)+\ln \left(3\right)}}}{\ln \left(x \right) x}$&$73$\\ \hline \end{longtable}"," ",0,"1/5/(ln(2)+ln(3))/x*(x^3*ln(2)+x^3*ln(3)-x^2*ln(2)-x^2*ln(3)-20*ln(2)-20*ln(3))/ln(x)+4/ln(x)/x*exp(exp(x)/(ln(2)+ln(3)))","B"
7911,1,844,25,0.252000," ","int((((x^4+6*x^3+9*x^2-1)*ln(x)+x^5+6*x^4+9*x^3-x)*ln((x^4*ln(x)^2+2*x^5*ln(x)+x^6)/(x^8+12*x^7+54*x^6+108*x^5+79*x^4-12*x^3-18*x^2+1))+(x^4+18*x^3+45*x^2-9)*ln(x)+3*x^5+32*x^4+75*x^3+18*x^2-11*x-2)/((x^4+6*x^3+9*x^2-1)*ln(x)+x^5+6*x^4+9*x^3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x +4 x \ln \left(x \right)-\frac{i \pi  x \mathrm{csgn}\left(i \left(x +\ln \left(x \right)\right)^{2}\right)^{3}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x +\ln \left(x \right)\right)^{2}}{\left(x^{4}+6 x^{3}+9 x^{2}-1\right)^{2}}\right)^{3}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i x^{4} \left(x +\ln \left(x \right)\right)^{2}}{\left(x^{4}+6 x^{3}+9 x^{2}-1\right)^{2}}\right)^{3}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i x^{3}\right)^{3}}{2}+\frac{i \pi  x \mathrm{csgn}\left(i \left(x^{4}+6 x^{3}+9 x^{2}-1\right)^{2}\right)^{3}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i x^{4}\right)^{3}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-2 x \ln \left(x^{4}+6 x^{3}+9 x^{2}-1\right)+2 x \ln \left(x +\ln \left(x \right)\right)-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i \left(x +\ln \left(x \right)\right)^{2}}{\left(x^{4}+6 x^{3}+9 x^{2}-1\right)^{2}}\right) \mathrm{csgn}\left(\frac{i x^{4} \left(x +\ln \left(x \right)\right)^{2}}{\left(x^{4}+6 x^{3}+9 x^{2}-1\right)^{2}}\right) \mathrm{csgn}\left(i x^{4}\right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x +\ln \left(x \right)\right)^{2}\right) \mathrm{csgn}\left(\frac{i}{\left(x^{4}+6 x^{3}+9 x^{2}-1\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x +\ln \left(x \right)\right)^{2}}{\left(x^{4}+6 x^{3}+9 x^{2}-1\right)^{2}}\right)}{2}-\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}+i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)}{2}+i \pi  x \,\mathrm{csgn}\left(i \left(x +\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left(x +\ln \left(x \right)\right)^{2}\right)^{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i \left(x +\ln \left(x \right)\right)^{2}}{\left(x^{4}+6 x^{3}+9 x^{2}-1\right)^{2}}\right) \mathrm{csgn}\left(\frac{i x^{4} \left(x +\ln \left(x \right)\right)^{2}}{\left(x^{4}+6 x^{3}+9 x^{2}-1\right)^{2}}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i x^{4} \left(x +\ln \left(x \right)\right)^{2}}{\left(x^{4}+6 x^{3}+9 x^{2}-1\right)^{2}}\right)^{2} \mathrm{csgn}\left(i x^{4}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(i \left(x^{4}+6 x^{3}+9 x^{2}-1\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{4}+6 x^{3}+9 x^{2}-1\right)^{2}\right)}{2}-i \pi  x \,\mathrm{csgn}\left(i \left(x^{4}+6 x^{3}+9 x^{2}-1\right)\right) \mathrm{csgn}\left(i \left(x^{4}+6 x^{3}+9 x^{2}-1\right)^{2}\right)^{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x +\ln \left(x \right)\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x +\ln \left(x \right)\right)^{2}}{\left(x^{4}+6 x^{3}+9 x^{2}-1\right)^{2}}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{\left(x^{4}+6 x^{3}+9 x^{2}-1\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(x +\ln \left(x \right)\right)^{2}}{\left(x^{4}+6 x^{3}+9 x^{2}-1\right)^{2}}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i \left(x +\ln \left(x \right)\right)\right)^{2} \mathrm{csgn}\left(i \left(x +\ln \left(x \right)\right)^{2}\right)}{2}$&$844$\\ \hline \end{longtable}"," ",0,"5*x+4*x*ln(x)-1/2*I*Pi*x*csgn(I*(x+ln(x))^2)^3-1/2*I*Pi*x*csgn(I*(x+ln(x))^2/(x^4+6*x^3+9*x^2-1)^2)^3-1/2*I*Pi*x*csgn(I*x^4/(x^4+6*x^3+9*x^2-1)^2*(x+ln(x))^2)^3-1/2*I*Pi*x*csgn(I*x^3)^3+1/2*I*Pi*x*csgn(I*(x^4+6*x^3+9*x^2-1)^2)^3-1/2*I*Pi*x*csgn(I*x^4)^3-1/2*I*Pi*x*csgn(I*x^2)^3-2*x*ln(x^4+6*x^3+9*x^2-1)+2*x*ln(x+ln(x))+I*Pi*x*csgn(I*(x+ln(x)))*csgn(I*(x+ln(x))^2)^2+1/2*I*Pi*x*csgn(I*(x+ln(x))^2/(x^4+6*x^3+9*x^2-1)^2)*csgn(I*x^4/(x^4+6*x^3+9*x^2-1)^2*(x+ln(x))^2)^2+1/2*I*Pi*x*csgn(I*x^4/(x^4+6*x^3+9*x^2-1)^2*(x+ln(x))^2)^2*csgn(I*x^4)+1/2*I*Pi*x*csgn(I*x)*csgn(I*x^4)^2+1/2*I*Pi*x*csgn(I*x^3)*csgn(I*x^4)^2+1/2*I*Pi*x*csgn(I*x^2)*csgn(I*x^3)^2+1/2*I*Pi*x*csgn(I*x)*csgn(I*x^3)^2+1/2*I*Pi*x*csgn(I*(x^4+6*x^3+9*x^2-1))^2*csgn(I*(x^4+6*x^3+9*x^2-1)^2)-I*Pi*x*csgn(I*(x^4+6*x^3+9*x^2-1))*csgn(I*(x^4+6*x^3+9*x^2-1)^2)^2+1/2*I*Pi*x*csgn(I*(x+ln(x))^2)*csgn(I*(x+ln(x))^2/(x^4+6*x^3+9*x^2-1)^2)^2+1/2*I*Pi*x*csgn(I/(x^4+6*x^3+9*x^2-1)^2)*csgn(I*(x+ln(x))^2/(x^4+6*x^3+9*x^2-1)^2)^2-1/2*I*Pi*x*csgn(I*(x+ln(x)))^2*csgn(I*(x+ln(x))^2)-1/2*I*Pi*x*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)-1/2*I*Pi*x*csgn(I*(x+ln(x))^2/(x^4+6*x^3+9*x^2-1)^2)*csgn(I*x^4/(x^4+6*x^3+9*x^2-1)^2*(x+ln(x))^2)*csgn(I*x^4)-1/2*I*Pi*x*csgn(I*(x+ln(x))^2)*csgn(I/(x^4+6*x^3+9*x^2-1)^2)*csgn(I*(x+ln(x))^2/(x^4+6*x^3+9*x^2-1)^2)-1/2*I*Pi*x*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-1/2*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)+I*Pi*x*csgn(I*x)*csgn(I*x^2)^2","C"
7912,1,16,22,0.039000," ","int((19*x*exp(1)+x^3-12*x^2+45*x-50)/(x^3-10*x^2+25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -2 \ln \left(x \right)-\frac{19 \,{\mathrm e}}{x -5}$&$16$\\ risch&$x -2 \ln \left(x \right)-\frac{19 \,{\mathrm e}}{x -5}$&$16$\\ norman&$\frac{x^{2}-25-19 \,{\mathrm e}}{x -5}-2 \ln \left(x \right)$&$21$\\ \hline \end{longtable}"," ",0,"x-2*ln(x)-19*exp(1)/(x-5)","A"
7913,1,1024,28,3.849000," ","int(((-2*ln(x)^4+4*ln(x)^3)*ln(12*x)^8+8*ln(x)^4*ln(12*x)^7+(-20*x*ln(x)^3+60*x*ln(x)^2)*ln(12*x)^6+120*x*ln(x)^3*ln(12*x)^5+(-4*x^4*ln(x)^2+(-4*x^4+300*x^2)*ln(x))*ln(12*x)^4+(-8*x^4+600*x^2)*ln(x)^2*ln(12*x)^3+((-60*x^5+500*x^3)*ln(x)-20*x^5+500*x^3)*ln(12*x)^2+(-40*x^5+1000*x^3)*ln(x)*ln(12*x)+6*x^8-200*x^6+1250*x^4)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{12}}{x^{2}}+\frac{4 \left(4 \ln \left(2\right)+2 \ln \left(3\right)\right) \ln \left(x \right)^{11}}{x^{2}}+\frac{7 \left(16 \ln \left(2\right)^{2}+16 \ln \left(2\right) \ln \left(3\right)+4 \ln \left(3\right)^{2}\right) \ln \left(x \right)^{10}}{x^{2}}+\frac{\left(20 x +56 \ln \left(3\right)^{3}+448 \ln \left(2\right)^{3}+672 \ln \left(2\right)^{2} \ln \left(3\right)+336 \ln \left(2\right) \ln \left(3\right)^{2}\right) \ln \left(x \right)^{9}}{x^{2}}+\frac{5 \left(112 \ln \left(3\right)^{4}+1792 \ln \left(2\right)^{4}+2688 \ln \left(3\right)^{2} \ln \left(2\right)^{2}+192 x \ln \left(3\right)+384 x \ln \left(2\right)+3584 \ln \left(2\right)^{3} \ln \left(3\right)+896 \ln \left(2\right) \ln \left(3\right)^{3}\right) \ln \left(x \right)^{8}}{8 x^{2}}+\frac{\left(4800 x \ln \left(2\right)^{2}+1200 x \ln \left(3\right)^{2}+7168 \ln \left(2\right)^{5}+4800 x \ln \left(2\right) \ln \left(3\right)+224 \ln \left(3\right)^{5}+17920 \ln \left(2\right)^{4} \ln \left(3\right)+17920 \ln \left(2\right)^{3} \ln \left(3\right)^{2}+8960 \ln \left(2\right)^{2} \ln \left(3\right)^{3}+2240 \ln \left(2\right) \ln \left(3\right)^{4}\right) \ln \left(x \right)^{7}}{4 x^{2}}+\frac{\left(-32 x^{4}+2400 x^{2}+38400 x \ln \left(2\right) \ln \left(3\right)^{2}+107520 \ln \left(3\right)^{2} \ln \left(2\right)^{4}+6400 x \ln \left(3\right)^{3}+51200 x \ln \left(2\right)^{3}+28672 \ln \left(2\right)^{6}+448 \ln \left(3\right)^{6}+76800 \ln \left(2\right)^{2} \ln \left(3\right) x +86016 \ln \left(2\right)^{5} \ln \left(3\right)+71680 \ln \left(2\right)^{3} \ln \left(3\right)^{3}+26880 \ln \left(2\right)^{2} \ln \left(3\right)^{4}+5376 \ln \left(2\right) \ln \left(3\right)^{5}\right) \ln \left(x \right)^{6}}{16 x^{2}}+\frac{\left(153600 x \ln \left(3\right) \ln \left(2\right)^{3}+9600 x^{2} \ln \left(3\right)+76800 x \ln \left(2\right)^{4}-256 x^{4} \ln \left(2\right)+4800 x \ln \left(3\right)^{4}+19200 x^{2} \ln \left(2\right)-128 x^{4} \ln \left(3\right)+35840 \ln \left(2\right)^{3} \ln \left(3\right)^{4}+10752 \ln \left(2\right)^{2} \ln \left(3\right)^{5}+1792 \ln \left(2\right) \ln \left(3\right)^{6}+128 \ln \left(3\right)^{7}+16384 \ln \left(2\right)^{7}+115200 \ln \left(2\right)^{2} \ln \left(3\right)^{2} x +38400 \ln \left(2\right) \ln \left(3\right)^{3} x +57344 \ln \left(2\right)^{6} \ln \left(3\right)+86016 \ln \left(2\right)^{5} \ln \left(3\right)^{2}+71680 \ln \left(2\right)^{4} \ln \left(3\right)^{3}\right) \ln \left(x \right)^{5}}{16 x^{2}}+\frac{\left(65536 \ln \left(2\right)^{8}+286720 \ln \left(3\right)^{4} \ln \left(2\right)^{4}-12288 x^{4} \ln \left(2\right)^{2}+921600 x^{2} \ln \left(2\right)^{2}+230400 x^{2} \ln \left(3\right)^{2}-3072 x^{4} \ln \left(3\right)^{2}+30720 x \ln \left(3\right)^{5}+983040 x \ln \left(2\right)^{5}+262144 \ln \left(2\right)^{7} \ln \left(3\right)+458752 \ln \left(2\right)^{6} \ln \left(3\right)^{2}+458752 \ln \left(2\right)^{5} \ln \left(3\right)^{3}+114688 \ln \left(2\right)^{3} \ln \left(3\right)^{5}+28672 \ln \left(2\right)^{2} \ln \left(3\right)^{6}+4096 \ln \left(2\right) \ln \left(3\right)^{7}+256 \ln \left(3\right)^{8}+2457600 \ln \left(2\right)^{4} \ln \left(3\right) x +2457600 \ln \left(2\right)^{3} \ln \left(3\right)^{2} x +1228800 \ln \left(2\right)^{2} \ln \left(3\right)^{3} x +307200 \ln \left(2\right) \ln \left(3\right)^{4} x -12288 \ln \left(2\right) \ln \left(3\right) x^{4}+921600 \ln \left(2\right) \ln \left(3\right) x^{2}\right) \ln \left(x \right)^{4}}{256 x^{2}}+\frac{\left(-128 x^{3} \ln \left(3\right)^{3}-1024 x^{3} \ln \left(2\right)^{3}-320 x^{4}+8000 x^{2}+57600 x \ln \left(2\right) \ln \left(3\right)^{2}+76800 \ln \left(3\right)^{2} \ln \left(2\right)^{4}+9600 x \ln \left(3\right)^{3}+76800 x \ln \left(2\right)^{3}+20480 \ln \left(2\right)^{6}+320 \ln \left(3\right)^{6}+115200 \ln \left(2\right)^{2} \ln \left(3\right) x -1536 \ln \left(2\right)^{2} \ln \left(3\right) x^{3}-768 \ln \left(2\right) \ln \left(3\right)^{2} x^{3}+61440 \ln \left(2\right)^{5} \ln \left(3\right)+51200 \ln \left(2\right)^{3} \ln \left(3\right)^{3}+19200 \ln \left(2\right)^{2} \ln \left(3\right)^{4}+3840 \ln \left(2\right) \ln \left(3\right)^{5}\right) \ln \left(x \right)^{3}}{16 x}+\left(-48 x^{2} \ln \left(3\right)^{2} \ln \left(2\right)^{2}-32 x^{2} \ln \left(2\right)^{4}+150 \ln \left(3\right)^{4}+2400 \ln \left(2\right)^{4}+3600 \ln \left(3\right)^{2} \ln \left(2\right)^{2}-40 x^{3} \ln \left(3\right)+1000 x \ln \left(3\right)+2000 x \ln \left(2\right)-80 x^{3} \ln \left(2\right)-2 x^{2} \ln \left(3\right)^{4}-64 \ln \left(2\right)^{3} \ln \left(3\right) x^{2}-16 \ln \left(2\right) \ln \left(3\right)^{3} x^{2}+4800 \ln \left(2\right)^{3} \ln \left(3\right)+1200 \ln \left(2\right) \ln \left(3\right)^{3}\right) \ln \left(x \right)^{2}+\left(-80 x^{3} \ln \left(3\right) \ln \left(2\right)-20 x^{3} \ln \left(3\right)^{2}-80 x^{3} \ln \left(2\right)^{2}+2000 x \ln \left(2\right)^{2}+500 x \ln \left(3\right)^{2}+2000 x \ln \left(2\right) \ln \left(3\right)\right) \ln \left(x \right)+x^{6}-50 x^{4}+625 x^{2}$&$1024$\\ default&$\text{Expression too large to display}$&$2336$\\ \hline \end{longtable}"," ",0,"1/x^2*ln(x)^12+4*(4*ln(2)+2*ln(3))/x^2*ln(x)^11+7*(16*ln(2)^2+16*ln(2)*ln(3)+4*ln(3)^2)/x^2*ln(x)^10+(20*x+56*ln(3)^3+448*ln(2)^3+672*ln(2)^2*ln(3)+336*ln(2)*ln(3)^2)/x^2*ln(x)^9+5/8*(112*ln(3)^4+1792*ln(2)^4+2688*ln(3)^2*ln(2)^2+192*x*ln(3)+384*x*ln(2)+3584*ln(2)^3*ln(3)+896*ln(2)*ln(3)^3)/x^2*ln(x)^8+1/4*(4800*x*ln(2)^2+1200*x*ln(3)^2+7168*ln(2)^5+4800*x*ln(2)*ln(3)+224*ln(3)^5+17920*ln(2)^4*ln(3)+17920*ln(2)^3*ln(3)^2+8960*ln(2)^2*ln(3)^3+2240*ln(2)*ln(3)^4)/x^2*ln(x)^7+1/16*(-32*x^4+2400*x^2+38400*x*ln(2)*ln(3)^2+107520*ln(3)^2*ln(2)^4+6400*x*ln(3)^3+51200*x*ln(2)^3+28672*ln(2)^6+448*ln(3)^6+76800*ln(2)^2*ln(3)*x+86016*ln(2)^5*ln(3)+71680*ln(2)^3*ln(3)^3+26880*ln(2)^2*ln(3)^4+5376*ln(2)*ln(3)^5)/x^2*ln(x)^6+1/16*(153600*x*ln(3)*ln(2)^3+9600*x^2*ln(3)+76800*x*ln(2)^4-256*x^4*ln(2)+4800*x*ln(3)^4+19200*x^2*ln(2)-128*x^4*ln(3)+35840*ln(2)^3*ln(3)^4+10752*ln(2)^2*ln(3)^5+1792*ln(2)*ln(3)^6+128*ln(3)^7+16384*ln(2)^7+115200*ln(2)^2*ln(3)^2*x+38400*ln(2)*ln(3)^3*x+57344*ln(2)^6*ln(3)+86016*ln(2)^5*ln(3)^2+71680*ln(2)^4*ln(3)^3)/x^2*ln(x)^5+1/256*(65536*ln(2)^8+286720*ln(3)^4*ln(2)^4-12288*x^4*ln(2)^2+921600*x^2*ln(2)^2+230400*x^2*ln(3)^2-3072*x^4*ln(3)^2+30720*x*ln(3)^5+983040*x*ln(2)^5+262144*ln(2)^7*ln(3)+458752*ln(2)^6*ln(3)^2+458752*ln(2)^5*ln(3)^3+114688*ln(2)^3*ln(3)^5+28672*ln(2)^2*ln(3)^6+4096*ln(2)*ln(3)^7+256*ln(3)^8+2457600*ln(2)^4*ln(3)*x+2457600*ln(2)^3*ln(3)^2*x+1228800*ln(2)^2*ln(3)^3*x+307200*ln(2)*ln(3)^4*x-12288*ln(2)*ln(3)*x^4+921600*ln(2)*ln(3)*x^2)/x^2*ln(x)^4+1/16*(-128*x^3*ln(3)^3-1024*x^3*ln(2)^3-320*x^4+8000*x^2+57600*x*ln(2)*ln(3)^2+76800*ln(3)^2*ln(2)^4+9600*x*ln(3)^3+76800*x*ln(2)^3+20480*ln(2)^6+320*ln(3)^6+115200*ln(2)^2*ln(3)*x-1536*ln(2)^2*ln(3)*x^3-768*ln(2)*ln(3)^2*x^3+61440*ln(2)^5*ln(3)+51200*ln(2)^3*ln(3)^3+19200*ln(2)^2*ln(3)^4+3840*ln(2)*ln(3)^5)/x*ln(x)^3+(-48*x^2*ln(3)^2*ln(2)^2-32*x^2*ln(2)^4+150*ln(3)^4+2400*ln(2)^4+3600*ln(3)^2*ln(2)^2-40*x^3*ln(3)+1000*x*ln(3)+2000*x*ln(2)-80*x^3*ln(2)-2*x^2*ln(3)^4-64*ln(2)^3*ln(3)*x^2-16*ln(2)*ln(3)^3*x^2+4800*ln(2)^3*ln(3)+1200*ln(2)*ln(3)^3)*ln(x)^2+(-80*x^3*ln(3)*ln(2)-20*x^3*ln(3)^2-80*x^3*ln(2)^2+2000*x*ln(2)^2+500*x*ln(3)^2+2000*x*ln(2)*ln(3))*ln(x)+x^6-50*x^4+625*x^2","B"
7914,1,29,25,0.071000," ","int(((4*ln(24)-3*x)*exp(-4*ln(3/x)+20)+2*x*ln(24)^2-4*x^2*ln(24)+2*x^3)/(x*ln(24)^2-2*x^2*ln(24)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-2 x^{2}+\frac{{\mathrm e}^{20} x^{4}}{81}+2 \ln \left(24\right)^{2}}{\ln \left(24\right)-x}$&$29$\\ risch&$-\frac{\ln \left(2\right)^{2} {\mathrm e}^{20} x}{9}-\frac{2 \ln \left(2\right) \ln \left(3\right) {\mathrm e}^{20} x}{27}-\frac{\ln \left(2\right) {\mathrm e}^{20} x^{2}}{27}-\frac{\ln \left(3\right)^{2} {\mathrm e}^{20} x}{81}-\frac{\ln \left(3\right) {\mathrm e}^{20} x^{2}}{81}-\frac{{\mathrm e}^{20} x^{3}}{81}+2 x +\frac{\ln \left(2\right)^{4} {\mathrm e}^{20}}{3 \ln \left(2\right)+\ln \left(3\right)-x}+\frac{4 \ln \left(2\right)^{3} \ln \left(3\right) {\mathrm e}^{20}}{9 \left(\ln \left(2\right)+\frac{\ln \left(3\right)}{3}-\frac{x}{3}\right)}+\frac{2 \ln \left(2\right)^{2} \ln \left(3\right)^{2} {\mathrm e}^{20}}{9 \left(\ln \left(2\right)+\frac{\ln \left(3\right)}{3}-\frac{x}{3}\right)}+\frac{4 \ln \left(2\right) \ln \left(3\right)^{3} {\mathrm e}^{20}}{81 \left(\ln \left(2\right)+\frac{\ln \left(3\right)}{3}-\frac{x}{3}\right)}+\frac{\ln \left(3\right)^{4} {\mathrm e}^{20}}{243 \ln \left(2\right)+81 \ln \left(3\right)-81 x}$&$165$\\ default&$2 x -9 \,{\mathrm e}^{20-4 \ln \left(\frac{3}{x}\right)-4 \ln \left(x \right)} x \ln \left(2\right)^{2}-6 \,{\mathrm e}^{20-4 \ln \left(\frac{3}{x}\right)-4 \ln \left(x \right)} \ln \left(2\right) \ln \left(3\right) x -3 \,{\mathrm e}^{20-4 \ln \left(\frac{3}{x}\right)-4 \ln \left(x \right)} x^{2} \ln \left(2\right)-{\mathrm e}^{20-4 \ln \left(\frac{3}{x}\right)-4 \ln \left(x \right)} \ln \left(3\right)^{2} x -{\mathrm e}^{20-4 \ln \left(\frac{3}{x}\right)-4 \ln \left(x \right)} x^{2} \ln \left(3\right)-{\mathrm e}^{20-4 \ln \left(\frac{3}{x}\right)-4 \ln \left(x \right)} x^{3}-\frac{81 \,{\mathrm e}^{20-4 \ln \left(\frac{3}{x}\right)-4 \ln \left(x \right)} \ln \left(2\right)^{4}}{-3 \ln \left(2\right)-\ln \left(3\right)+x}-\frac{108 \,{\mathrm e}^{20-4 \ln \left(\frac{3}{x}\right)-4 \ln \left(x \right)} \ln \left(2\right)^{3} \ln \left(3\right)}{-3 \ln \left(2\right)-\ln \left(3\right)+x}-\frac{54 \,{\mathrm e}^{20-4 \ln \left(\frac{3}{x}\right)-4 \ln \left(x \right)} \ln \left(2\right)^{2} \ln \left(3\right)^{2}}{-3 \ln \left(2\right)-\ln \left(3\right)+x}-\frac{12 \,{\mathrm e}^{20-4 \ln \left(\frac{3}{x}\right)-4 \ln \left(x \right)} \ln \left(2\right) \ln \left(3\right)^{3}}{-3 \ln \left(2\right)-\ln \left(3\right)+x}-\frac{{\mathrm e}^{20-4 \ln \left(\frac{3}{x}\right)-4 \ln \left(x \right)} \ln \left(3\right)^{4}}{-3 \ln \left(2\right)-\ln \left(3\right)+x}$&$308$\\ \hline \end{longtable}"," ",0,"(-2*x^2+1/81*exp(20)*x^4+2*ln(24)^2)/(ln(24)-x)","A"
7915,1,25,25,0.177000," ","int(((-2*exp(1)^2+192*x^5-4*x+2)*ln(-x*exp(1)^2+16*x^6-x^2+x)+x*exp(1)^2-16*x^6+x^2-x)/(x*exp(1)^2-16*x^6+x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\ln \left(-{\mathrm e}^{2} x +16 x^{6}-x^{2}+x \right)^{2}$&$25$\\ norman&$x -\ln \left(-{\mathrm e}^{2} x +16 x^{6}-x^{2}+x \right)^{2}$&$27$\\ default&\verb|error in gcdex: invalid arguments\|& N/A\\ \hline \end{longtable}"," ",0,"x-ln(-exp(2)*x+16*x^6-x^2+x)^2","A"
7916,1,15,15,0.020000," ","int((5*x*ln(x)-5*x^3-4*x^2-80*x+2)/(5*x*ln(x)-5*x^3-80*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\frac{2 \ln \left(x^{2}-\ln \left(x \right)+16\right)}{5}$&$15$\\ risch&$x +\frac{2 \ln \left(\ln \left(x \right)-16-x^{2}\right)}{5}$&$15$\\ \hline \end{longtable}"," ",0,"x+2/5*ln(x^2-ln(x)+16)","A"
7917,1,21,20,0.147000," ","int((90*exp(13/4)^2-90*x^2+270)/(exp(13/4)^4-4*x*exp(13/4)^3+(6*x^2+4*x+6)*exp(13/4)^2+(-4*x^3-8*x^2-12*x)*exp(13/4)+x^4+4*x^3+10*x^2+12*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{90 x}{{\mathrm e}^{\frac{13}{2}}-2 \,{\mathrm e}^{\frac{13}{4}} x +x^{2}+2 x +3}$&$21$\\ gosper&$\frac{90 x}{{\mathrm e}^{\frac{13}{2}}-2 \,{\mathrm e}^{\frac{13}{4}} x +x^{2}+2 x +3}$&$23$\\ norman&$\frac{90 x}{{\mathrm e}^{\frac{13}{2}}-2 \,{\mathrm e}^{\frac{13}{4}} x +x^{2}+2 x +3}$&$23$\\ default&$-\frac{45 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+\left(-4 \,{\mathrm e}^{\frac{13}{4}}+4\right) \textit{\_Z}^{3}+\left(-8 \,{\mathrm e}^{\frac{13}{4}}+6 \,{\mathrm e}^{\frac{13}{2}}+10\right) \textit{\_Z}^{2}+\left(-12 \,{\mathrm e}^{\frac{13}{4}}+4 \,{\mathrm e}^{\frac{13}{2}}-4 \,{\mathrm e}^{\frac{39}{4}}+12\right) \textit{\_Z} +6 \,{\mathrm e}^{\frac{13}{2}}+{\mathrm e}^{13}+9\right)}{\sum}\frac{\left({\mathrm e}^{\frac{13}{2}}-\textit{\_R}^{2}+3\right) \ln \left(x -\textit{\_R} \right)}{-3+3 \,{\mathrm e}^{\frac{13}{4}} \textit{\_R}^{2}-\textit{\_R}^{3}+4 \,{\mathrm e}^{\frac{13}{4}} \textit{\_R} -3 \,{\mathrm e}^{\frac{13}{2}} \textit{\_R} -3 \textit{\_R}^{2}+3 \,{\mathrm e}^{\frac{13}{4}}-{\mathrm e}^{\frac{13}{2}}+{\mathrm e}^{\frac{39}{4}}-5 \textit{\_R}}\right)}{2}$&$118$\\ \hline \end{longtable}"," ",0,"90*x/(exp(13/2)-2*exp(13/4)*x+x^2+2*x+3)","A"
7918,1,69,33,0.166000," ","int(((-36*x^6-48*x^5-88*x^4-96*x^3-32*x^2)*exp(x)^2+(72*x^7+168*x^6+272*x^5+368*x^4+208*x^3+80*x^2+128*x+32)*exp(x)-36*x^8-120*x^7-220*x^6-320*x^5-264*x^4-80*x^3-144*x^2-160*x-48)/((9*x^8+12*x^7-32*x^6-48*x^5+20*x^4+48*x^3+16*x^2)*exp(x)^2+(-18*x^9-42*x^8+40*x^7+160*x^6+68*x^5-128*x^4-152*x^3-48*x^2)*exp(x)+9*x^10+30*x^9+x^8-100*x^7-120*x^6+20*x^5+148*x^4+120*x^3+36*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x}{x^{2}-2}+\frac{16}{\left(x^{2}-2\right) x \left(3 x^{4}-3 \,{\mathrm e}^{x} x^{3}+5 x^{3}-2 \,{\mathrm e}^{x} x^{2}-4 x^{2}+6 \,{\mathrm e}^{x} x -10 x +4 \,{\mathrm e}^{x}-6\right)}$&$69$\\ norman&$\frac{-8+8 x^{2}+12 x^{4}+20 x^{3}-12 \,{\mathrm e}^{x} x^{3}-8 \,{\mathrm e}^{x} x^{2}}{x \left(3 x^{4}-3 \,{\mathrm e}^{x} x^{3}+5 x^{3}-2 \,{\mathrm e}^{x} x^{2}-4 x^{2}+6 \,{\mathrm e}^{x} x -10 x +4 \,{\mathrm e}^{x}-6\right)}$&$81$\\ \hline \end{longtable}"," ",0,"4*x/(x^2-2)+16/(x^2-2)/x/(3*x^4-3*exp(x)*x^3+5*x^3-2*exp(x)*x^2-4*x^2+6*exp(x)*x-10*x+4*exp(x)-6)","B"
7919,1,30,27,0.125000," ","int(((-2*x^3+12*x^2-18*x)*exp(2+x)^2+(-2*x^4+2*x^3+6*x^2)*exp(2+x))/((x^2-6*x+9)*exp(2+x)^2+(4*x^2-12*x)*exp(2+x)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+\frac{2 x^{3}}{x \,{\mathrm e}^{2+x}-3 \,{\mathrm e}^{2+x}+2 x}$&$30$\\ norman&$\frac{3 x^{2} {\mathrm e}^{2+x}-{\mathrm e}^{2+x} x^{3}}{x \,{\mathrm e}^{2+x}-3 \,{\mathrm e}^{2+x}+2 x}$&$39$\\ \hline \end{longtable}"," ",0,"-x^2+2*x^3/(x*exp(2+x)-3*exp(2+x)+2*x)","A"
7920,1,26,21,0.056000," ","int(((-10*x^3*ln(2)+20*x^4)*ln(2*x-ln(2))^3+(-30*x^2*ln(2)+60*x^3)*ln(2*x-ln(2))^2+(-30*x*ln(2)+60*x^2)*ln(2*x-ln(2))+(2*x^3-10)*ln(2)+4*x^5-4*x^4+20*x)/((x^5*ln(2)-2*x^6)*ln(2*x-ln(2))^3+(3*x^4*ln(2)-6*x^5)*ln(2*x-ln(2))^2+(3*x^3*ln(2)-6*x^4)*ln(2*x-ln(2))+x^2*ln(2)-2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10}{x}+\frac{x^{2}}{\left(x \ln \left(2 x -\ln \left(2\right)\right)+1\right)^{2}}$&$26$\\ \hline \end{longtable}"," ",0,"10/x+x^2/(x*ln(2*x-ln(2))+1)^2","A"
7921,1,35,25,0.253000," ","int(((x^2+2*x)*ln(2*x+4)+(-x^2-2*x)*ln(x)+(x^3-6*x+4)*ln((x-2)/exp(2))+(x^2+2*x)*exp(4)+x^3+7*x^2+10*x)/(x^3-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x -\ln \left(x \right)+\ln \left(2 x +4\right)\right) \ln \left(\left(x -2\right) {\mathrm e}^{-2}\right)+\ln \left(x -2\right) {\mathrm e}^{4}+5 \ln \left(x -2\right)$&$35$\\ default&$\ln \left(2\right) \ln \left(x -2\right)+\left(\ln \left(2+x \right)-\ln \left(\frac{1}{2}+\frac{x}{4}\right)\right) \ln \left(\frac{1}{2}-\frac{x}{4}\right)-2 x +2 \ln \left(x \right)-2 \ln \left(2+x \right)+\ln \left(x -2\right) {\mathrm e}^{4}+7 \ln \left(x -2\right)+\left(x -2\right) \ln \left(x -2\right)+2-\ln \left(x -2\right) \ln \left(\frac{x}{2}\right)+\ln \left(x -2\right) \ln \left(\frac{1}{2}+\frac{x}{4}\right)-\left(\ln \left(x \right)-\ln \left(\frac{x}{2}\right)\right) \ln \left(1-\frac{x}{2}\right)$&$102$\\ \hline \end{longtable}"," ",0,"(x-ln(x)+ln(2*x+4))*ln((x-2)*exp(-2))+ln(x-2)*exp(4)+5*ln(x-2)","A"
7922,1,35,25,0.080000," ","int(((-x^2+6*x)*exp(1)+2*x^3-8*x^2-6*x+9)/((5*x^2-30*x+45)*ln(2)+(-x^3+3*x^2)*exp(1)+x^4-2*x^3-6*x^2+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x -3\right)+\ln \left(-x^{2} {\mathrm e}+x^{3}+5 x \ln \left(2\right)+x^{2}-15 \ln \left(2\right)-3 x \right)$&$35$\\ norman&$-\ln \left(x -3\right)+\ln \left(-x^{2} {\mathrm e}+x^{3}+5 x \ln \left(2\right)+x^{2}-15 \ln \left(2\right)-3 x \right)$&$35$\\ risch&$-\ln \left(x -3\right)+\ln \left(x^{3}+\left(1-{\mathrm e}\right) x^{2}+\left(5 \ln \left(2\right)-3\right) x -15 \ln \left(2\right)\right)$&$35$\\ \hline \end{longtable}"," ",0,"-ln(x-3)+ln(-x^2*exp(1)+x^3+5*x*ln(2)+x^2-15*ln(2)-3*x)","A"
7923,1,31,31,0.056000," ","int((((-x^4-2*x^3)*exp(2)+30*x-30)*exp(x)+(3*x^4-x^2)*exp(2)-3*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3} {\mathrm e}^{2}-{\mathrm e}^{2} x -3 x -\frac{\left(x^{3} {\mathrm e}^{2}-30\right) {\mathrm e}^{x}}{x}$&$31$\\ norman&$\frac{x^{4} {\mathrm e}^{2}+\left(-{\mathrm e}^{2}-3\right) x^{2}-x^{3} {\mathrm e}^{2} {\mathrm e}^{x}+30 \,{\mathrm e}^{x}}{x}$&$35$\\ default&$-3 x +x^{3} {\mathrm e}^{2}+\frac{30 \,{\mathrm e}^{x}}{x}-2 \,{\mathrm e}^{2} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)-{\mathrm e}^{2} \left({\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right)-{\mathrm e}^{2} x$&$56$\\ \hline \end{longtable}"," ",0,"x^3*exp(2)-exp(2)*x-3*x-(x^3*exp(2)-30)/x*exp(x)","A"
7924,1,23,21,0.222000," ","int(((-5*x^2-x)*ln(1/4+5/4*x)*ln(ln(1/4+5/4*x))+(-100*x^2-270*x-50)*ln(1/4+5/4*x)+5*x^2)/(5*x^4+x^3)/ln(1/4+5/4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(\frac{1}{4}+\frac{5 x}{4}\right)\right)}{x}+\frac{20 x +25}{x^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"ln(ln(1/4+5/4*x))/x+5*(4*x+5)/x^2","A"
7925,1,72,23,0.080000," ","int((-ln(x^2)+ln(x)+(x+1)*exp(16-x)+2)/(ln(x^2)^2+(-2*ln(x)-2*exp(16-x)+2*x-2)*ln(x^2)+ln(x)^2+(2*exp(16-x)-2*x+2)*ln(x)+exp(16-x)^2+(-2*x+2)*exp(16-x)+x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x}{-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 x -2 \,{\mathrm e}^{16-x}+2 \ln \left(x \right)-2}$&$72$\\ \hline \end{longtable}"," ",0,"-2*x/(-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3+2*x-2*exp(16-x)+2*ln(x)-2)","C"
7926,1,12,26,0.061000," ","int((-20*x^4-4*x^3)/exp(1/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-4 x^{5} {\mathrm e}^{-\frac{1}{x}}$&$12$\\ derivativedivides&$-4 x^{5} {\mathrm e}^{-\frac{1}{x}}$&$12$\\ default&$-4 x^{5} {\mathrm e}^{-\frac{1}{x}}$&$12$\\ norman&$-4 x^{5} {\mathrm e}^{-\frac{1}{x}}$&$12$\\ risch&$-4 x^{5} {\mathrm e}^{-\frac{1}{x}}$&$12$\\ meijerg&$-4 x^{5}+4 x^{4}-2 x^{3}+\frac{2 x^{2}}{3}-\frac{x}{6}+\frac{1}{30}+\frac{x^{5} \left(-\frac{137}{x^{5}}+\frac{300}{x^{4}}-\frac{600}{x^{3}}+\frac{1200}{x^{2}}-\frac{1800}{x}+1440\right)}{360}-\frac{x^{5} \left(\frac{6}{x^{4}}-\frac{6}{x^{3}}+\frac{12}{x^{2}}-\frac{36}{x}+144\right) {\mathrm e}^{-\frac{1}{x}}}{36}+\frac{x^{4} \left(\frac{125}{x^{4}}-\frac{240}{x^{3}}+\frac{360}{x^{2}}-\frac{480}{x}+360\right)}{360}-\frac{x^{4} \left(-\frac{5}{x^{3}}+\frac{5}{x^{2}}-\frac{10}{x}+30\right) {\mathrm e}^{-\frac{1}{x}}}{30}$&$146$\\ \hline \end{longtable}"," ",0,"-4*x^5/exp(1/x)","A"
7927,1,19,16,0.022000," ","int(((10*x^4+8*x^3)*exp(exp(x))+5*exp(x))/exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x^{5}+2 x^{4}-5 \,{\mathrm e}^{-{\mathrm e}^{x}}$&$19$\\ risch&$2 x^{5}+2 x^{4}-5 \,{\mathrm e}^{-{\mathrm e}^{x}}$&$19$\\ norman&$\left(-5+2 x^{4} {\mathrm e}^{{\mathrm e}^{x}}+2 x^{5} {\mathrm e}^{{\mathrm e}^{x}}\right) {\mathrm e}^{-{\mathrm e}^{x}}$&$25$\\ \hline \end{longtable}"," ",0,"2*x^5+2*x^4-5/exp(exp(x))","A"
7928,1,14,15,0.277000," ","int((36*x^2-1944*x+26896)/(9*x^2-492*x+6724)/exp(2/(3*x-82)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \,{\mathrm e}^{-\frac{2}{3 x -82}}$&$14$\\ gosper&$4 x \,{\mathrm e}^{-\frac{2}{3 x -82}}$&$16$\\ norman&$\frac{\left(12 x^{2}-328 x \right) {\mathrm e}^{-\frac{2}{3 x -82}}}{3 x -82}$&$30$\\ derivativedivides&$\frac{4 \,{\mathrm e}^{-\frac{2}{3 x -82}} \left(3 x -82\right)}{3}+\frac{328 \,{\mathrm e}^{-\frac{2}{3 x -82}}}{3}$&$35$\\ default&$\frac{4 \,{\mathrm e}^{-\frac{2}{3 x -82}} \left(3 x -82\right)}{3}+\frac{328 \,{\mathrm e}^{-\frac{2}{3 x -82}}}{3}$&$35$\\ \hline \end{longtable}"," ",0,"4*x*exp(-2/(3*x-82))","A"
7929,1,51,25,0.073000," ","int(((2*exp(x)^2*x^2+1024*x^6*exp(x)+131072*x^10)*exp(ln(2)+2*x)-exp(x)^2+(-512*x^4-4*x^2)*exp(x)-65536*x^8-4096*x^5)/((exp(x)^2*x^2+512*x^6*exp(x)+65536*x^10)*exp(ln(2)+2*x)+(4*x^2+x)*exp(x)^2+(2048*x^6+512*x^5+4*x^2)*exp(x)+262144*x^10+65536*x^9+1024*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left({\mathrm e}^{x}+256 x^{4}\right)+\ln \left({\mathrm e}^{3 x}+256 \,{\mathrm e}^{2 x} x^{4}+\frac{\left(4 x +1\right) {\mathrm e}^{x}}{2 x}+512 x^{4}+128 x^{3}+2\right)$&$51$\\ \hline \end{longtable}"," ",0,"-ln(exp(x)+256*x^4)+ln(exp(3*x)+256*exp(2*x)*x^4+1/2*(4*x+1)/x*exp(x)+512*x^4+128*x^3+2)","A"
7930,1,24,20,0.035000," ","int(((-6*x^3-3*x^2-6)*exp(x)*ln(2*x^3+x^2+2)+(6*x^4-45*x^3-42*x^2-48)*exp(x))/(2*x^3+x^2+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 \,{\mathrm e}^{x} \ln \left(2 x^{3}+x^{2}+2\right)+3 \left(x -9\right) {\mathrm e}^{x}$&$24$\\ norman&$3 \,{\mathrm e}^{x} x -3 \,{\mathrm e}^{x} \ln \left(2 x^{3}+x^{2}+2\right)-27 \,{\mathrm e}^{x}$&$26$\\ \hline \end{longtable}"," ",0,"-3*exp(x)*ln(2*x^3+x^2+2)+3*(x-9)*exp(x)","A"
7931,1,17,18,0.042000," ","int(((-2*x+2)*exp(x/exp(x))^2-3*exp(x)*ln(x)^2-6*exp(x)*ln(x))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x \,{\mathrm e}^{-x}}-3 x \ln \left(x \right)^{2}$&$17$\\ default&${\mathrm e}^{2 x \,{\mathrm e}^{-x}}-3 x \ln \left(x \right)^{2}$&$18$\\ \hline \end{longtable}"," ",0,"exp(2*x*exp(-x))-3*x*ln(x)^2","A"
7932,1,24,12,0.029000," ","int(1/2*(15*x+5)*exp(x)^3+1/2*(10*x^2-40*x-25)*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x \,{\mathrm e}^{3 x}}{2}+\frac{\left(5 x^{2}-25 x \right) {\mathrm e}^{2 x}}{2}$&$24$\\ default&$\frac{5 x \,{\mathrm e}^{3 x}}{2}-\frac{25 x \,{\mathrm e}^{2 x}}{2}+\frac{5 \,{\mathrm e}^{2 x} x^{2}}{2}$&$25$\\ norman&$\frac{5 x \,{\mathrm e}^{3 x}}{2}-\frac{25 x \,{\mathrm e}^{2 x}}{2}+\frac{5 \,{\mathrm e}^{2 x} x^{2}}{2}$&$25$\\ meijerg&$\frac{5 \,{\mathrm e}^{3 x}}{6}-\frac{5 \left(-6 x +2\right) {\mathrm e}^{3 x}}{12}-\frac{25 \,{\mathrm e}^{2 x}}{4}+\frac{5 \left(12 x^{2}-12 x +6\right) {\mathrm e}^{2 x}}{24}+\frac{5 \left(-4 x +2\right) {\mathrm e}^{2 x}}{2}$&$52$\\ \hline \end{longtable}"," ",0,"5/2*x*exp(3*x)+1/2*(5*x^2-25*x)*exp(2*x)","A"
7933,1,15,15,0.026000," ","int((x*ln(x)*ln(ln(x))-2*x*ln(x)+x-3)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x -3 \ln \left(\ln \left(x \right)\right)+x \ln \left(\ln \left(x \right)\right)$&$15$\\ norman&$-2 x -3 \ln \left(\ln \left(x \right)\right)+x \ln \left(\ln \left(x \right)\right)$&$15$\\ risch&$-2 x -3 \ln \left(\ln \left(x \right)\right)+x \ln \left(\ln \left(x \right)\right)$&$15$\\ \hline \end{longtable}"," ",0,"-2*x-3*ln(ln(x))+x*ln(ln(x))","A"
7934,1,114,28,0.261000," ","int(((256*x^6+768*x^5+1024*x^4+1024*x^3+768*x^2+256*x)*exp(5)^2*exp(x^4+2*x^2+1)^2+((-256*x^5-512*x^4-512*x^3-512*x^2-192*x+64)*exp(5)^2*ln(3)+(-1024*x^6-3072*x^5-4096*x^4-4096*x^3-3072*x^2-1024*x)*exp(5)^2+(32*x^7+96*x^6+128*x^5+128*x^4+104*x^3+56*x^2+24*x+8)*exp(5))*exp(x^4+2*x^2+1)-64*exp(5)^2*ln(3)^2+((-256*x-256)*exp(5)^2+(-8*x-8)*exp(5))*ln(3)+(-32*x^3-96*x^2-96*x-32)*exp(5)+x^4+3*x^3+3*x^2+x)/(32*x^3+96*x^2+96*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{64}-x \,{\mathrm e}^{5}+\frac{\frac{\left(256 \,{\mathrm e}^{10} \ln \left(3\right)+8 \,{\mathrm e}^{5} \ln \left(3\right)\right) x}{32}+{\mathrm e}^{10} \ln \left(3\right)^{2}+8 \,{\mathrm e}^{10} \ln \left(3\right)+\frac{{\mathrm e}^{5} \ln \left(3\right)}{4}}{x^{2}+2 x +1}+{\mathrm e}^{2 x^{4}+4 x^{2}+12}-\frac{\left(8 \,{\mathrm e}^{5} \ln \left(3\right)+32 x \,{\mathrm e}^{5}-x^{2}+32 \,{\mathrm e}^{5}-x \right) {\mathrm e}^{x^{4}+2 x^{2}+6}}{4 \left(x +1\right)}$&$114$\\ norman&$\frac{\left(\frac{1}{32}-{\mathrm e}^{5}\right) x^{3}+\left(-2 \,{\mathrm e}^{10} \ln \left(3\right)-8 \,{\mathrm e}^{10}\right) {\mathrm e}^{x^{4}+2 x^{2}+1}+\left(-\frac{1}{32}+3 \,{\mathrm e}^{5}+8 \,{\mathrm e}^{10} \ln \left(3\right)+\frac{{\mathrm e}^{5} \ln \left(3\right)}{4}\right) x +{\mathrm e}^{10} {\mathrm e}^{2 x^{4}+4 x^{2}+2}+\left(\frac{{\mathrm e}^{5}}{2}-8 \,{\mathrm e}^{10}\right) x^{2} {\mathrm e}^{x^{4}+2 x^{2}+1}+\left(-2 \,{\mathrm e}^{10} \ln \left(3\right)-16 \,{\mathrm e}^{10}+\frac{{\mathrm e}^{5}}{4}\right) x \,{\mathrm e}^{x^{4}+2 x^{2}+1}+{\mathrm e}^{10} {\mathrm e}^{2 x^{4}+4 x^{2}+2} x^{2}+\frac{x^{4}}{64}+\frac{{\mathrm e}^{5} {\mathrm e}^{x^{4}+2 x^{2}+1} x^{3}}{4}+2 \,{\mathrm e}^{10} {\mathrm e}^{2 x^{4}+4 x^{2}+2} x -\frac{1}{64}+2 \,{\mathrm e}^{5}+8 \,{\mathrm e}^{10} \ln \left(3\right)+\frac{{\mathrm e}^{5} \ln \left(3\right)}{4}+{\mathrm e}^{10} \ln \left(3\right)^{2}}{\left(x +1\right)^{2}}$&$235$\\ \hline \end{longtable}"," ",0,"1/64*x^2-x*exp(5)+(1/32*(256*exp(10)*ln(3)+8*exp(5)*ln(3))*x+exp(10)*ln(3)^2+8*exp(10)*ln(3)+1/4*exp(5)*ln(3))/(x^2+2*x+1)+exp(2*x^4+4*x^2+12)-1/4/(x+1)*(8*exp(5)*ln(3)+32*x*exp(5)-x^2+32*exp(5)-x)*exp(x^4+2*x^2+6)","B"
7935,1,34,23,0.358000," ","int((((x^2+2*x)*ln(x)^2+(2*x^2+4*x)*exp(1)*ln(x)+(x^2+2*x)*exp(1)^2+(48*x+96)*exp(1))*ln(2+x)+(2*x^2+50*x)*ln(x)^2+(4*x^2+52*x)*exp(1)*ln(x)+(2*x^2+2*x)*exp(1)^2)/((x^2+2*x)*ln(x)^2+(2*x^2+4*x)*exp(1)*ln(x)+(x^2+2*x)*exp(1)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x \,{\mathrm e}+x \ln \left(x \right)-48 \,{\mathrm e}\right) \ln \left(2+x \right)}{{\mathrm e}+\ln \left(x \right)}+x +48 \ln \left(2+x \right)$&$34$\\ \hline \end{longtable}"," ",0,"(x*exp(1)+x*ln(x)-48*exp(1))/(exp(1)+ln(x))*ln(2+x)+x+48*ln(2+x)","A"
7936,1,40,26,0.058000," ","int(1/2*(2*(x-1)*ln(2)*exp(x)+2*(10*x^2*exp(4)^2-40*x^3*exp(4)+30*x^4-10)*ln(2))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$10 x^{3} \ln \left(2\right)+10 \,{\mathrm e}^{8} \ln \left(2\right) x +\frac{10 \ln \left(2\right)}{x}+\frac{\ln \left(2\right) {\mathrm e}^{x}}{x}-20 x^{2} {\mathrm e}^{4} \ln \left(2\right)$&$40$\\ default&$10 x^{3} \ln \left(2\right)+10 \,{\mathrm e}^{8} \ln \left(2\right) x +\frac{10 \ln \left(2\right)}{x}+\frac{\ln \left(2\right) {\mathrm e}^{x}}{x}-20 x^{2} {\mathrm e}^{4} \ln \left(2\right)$&$42$\\ norman&$\frac{{\mathrm e}^{x} \ln \left(2\right)+10 x^{4} \ln \left(2\right)+10 x^{2} {\mathrm e}^{8} \ln \left(2\right)-20 x^{3} {\mathrm e}^{4} \ln \left(2\right)+10 \ln \left(2\right)}{x}$&$42$\\ \hline \end{longtable}"," ",0,"10*x^3*ln(2)+10*exp(8)*ln(2)*x+10*ln(2)/x+ln(2)*exp(x)/x-20*x^2*exp(4)*ln(2)","A"
7937,1,17,14,0.226000," ","int(((-3*x-15)*ln(x^3+5*x^2)^2+(6*x+20)*ln(x^3+5*x^2))/(x^5+5*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(x^{3}+5 x^{2}\right)^{2}}{x^{3}}$&$17$\\ risch&$\frac{\ln \left(x^{3}+5 x^{2}\right)^{2}}{x^{3}}$&$17$\\ \hline \end{longtable}"," ",0,"ln(x^3+5*x^2)^2/x^3","A"
7938,1,50,24,0.051000," ","int(((9*x^2*exp(1)^2-450*x*exp(1)+5625)*exp(x)^5+450*exp(x)^4+(6*x^4*exp(1)-150*x^3)*exp(x)^3+(-12*x^4+12*x^3)*exp(x)^2+x^6*exp(x))/((9*x^2*exp(1)^2-450*x*exp(1)+5625)*exp(x)^4+(6*x^4*exp(1)-150*x^3)*exp(x)^2+x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{50 \,{\mathrm e}^{-1}}{x \,{\mathrm e}-25}+{\mathrm e}^{x}+\frac{2 x^{4}}{\left(x \,{\mathrm e}-25\right) \left(3 x \,{\mathrm e}^{2 x +1}+x^{3}-75 \,{\mathrm e}^{2 x}\right)}$&$50$\\ \hline \end{longtable}"," ",0,"-50*exp(-1)/(x*exp(1)-25)+exp(x)+2*x^4/(x*exp(1)-25)/(3*x*exp(2*x+1)+x^3-75*exp(2*x))","B"
7939,1,15,17,0.248000," ","int(((-5*x+10)*exp(4)+x^2)*exp((x*ln(-3*x+6)+5*exp(4))/x)/(x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-3 x +6\right) {\mathrm e}^{\frac{5 \,{\mathrm e}^{4}}{x}}$&$15$\\ gosper&${\mathrm e}^{\frac{x \ln \left(-3 x +6\right)+5 \,{\mathrm e}^{4}}{x}}$&$19$\\ norman&${\mathrm e}^{\frac{x \ln \left(-3 x +6\right)+5 \,{\mathrm e}^{4}}{x}}$&$19$\\ default&$-\frac{3 \,{\mathrm e}^{4} \left(-125 \,{\mathrm e}^{12} \left(\frac{2 \left({\mathrm e}^{-8}\right)^{2} {\mathrm e}^{\frac{5 \,{\mathrm e}^{4}}{2}} \expIntegralEi \left(1, -\frac{5 \,{\mathrm e}^{4}}{x}+\frac{5 \,{\mathrm e}^{4}}{2}\right)}{25}-\frac{2 \left({\mathrm e}^{-8}\right)^{2} \expIntegralEi \left(1, -\frac{5 \,{\mathrm e}^{4}}{x}\right)}{25}+\frac{{\mathrm e}^{-8} {\mathrm e}^{-4} \left(-\frac{x \,{\mathrm e}^{-4} {\mathrm e}^{\frac{5 \,{\mathrm e}^{4}}{x}}}{5}-\expIntegralEi \left(1, -\frac{5 \,{\mathrm e}^{4}}{x}\right)\right)}{5}\right)+50 \,{\mathrm e}^{8} \left(\frac{{\mathrm e}^{-8} {\mathrm e}^{-4} {\mathrm e}^{\frac{5 \,{\mathrm e}^{4}}{2}} \expIntegralEi \left(1, -\frac{5 \,{\mathrm e}^{4}}{x}+\frac{5 \,{\mathrm e}^{4}}{2}\right)}{5}-\frac{{\mathrm e}^{-8} {\mathrm e}^{-4} \expIntegralEi \left(1, -\frac{5 \,{\mathrm e}^{4}}{x}\right)}{5}\right)+125 \,{\mathrm e}^{12} \left(\frac{{\mathrm e}^{-8} {\mathrm e}^{-4} {\mathrm e}^{\frac{5 \,{\mathrm e}^{4}}{2}} \expIntegralEi \left(1, -\frac{5 \,{\mathrm e}^{4}}{x}+\frac{5 \,{\mathrm e}^{4}}{2}\right)}{5}-\frac{{\mathrm e}^{-8} {\mathrm e}^{-4} \expIntegralEi \left(1, -\frac{5 \,{\mathrm e}^{4}}{x}\right)}{5}\right)-50 \,{\mathrm e}^{8} {\mathrm e}^{-8} {\mathrm e}^{\frac{5 \,{\mathrm e}^{4}}{2}} \expIntegralEi \left(1, -\frac{5 \,{\mathrm e}^{4}}{x}+\frac{5 \,{\mathrm e}^{4}}{2}\right)+20 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{-8} {\mathrm e}^{\frac{5 \,{\mathrm e}^{4}}{x}}}{2}+\frac{5 \,{\mathrm e}^{-4} {\mathrm e}^{\frac{5 \,{\mathrm e}^{4}}{2}} \expIntegralEi \left(1, -\frac{5 \,{\mathrm e}^{4}}{x}+\frac{5 \,{\mathrm e}^{4}}{2}\right)}{4}\right)\right)}{5}$&$261$\\ \hline \end{longtable}"," ",0,"(-3*x+6)*exp(5*exp(4)/x)","A"
7940,1,26,24,0.253000," ","int(((6*x^2+150*x+396)*ln(x)+2*x^3+50*x^2+132*x+4950)*exp(1/25*ln(x)^2+2/75*x*ln(x)+1/225*x^2)/(225*x^2+9900*x+108900),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \,{\mathrm e}^{\frac{\ln \left(x \right)^{2}}{25}+\frac{2 x \ln \left(x \right)}{75}+\frac{x^{2}}{225}}}{22+x}$&$26$\\ risch&$\frac{x \,x^{\frac{2 x}{75}} {\mathrm e}^{\frac{\ln \left(x \right)^{2}}{25}+\frac{x^{2}}{225}}}{22+x}$&$26$\\ \hline \end{longtable}"," ",0,"x*exp(1/25*ln(x)^2+2/75*x*ln(x)+1/225*x^2)/(22+x)","A"
7941,1,24,18,0.019000," ","int((-128*ln(x)^2+7040*ln(x)+5*x^2-96768)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{46656+5 x^{2} \ln \left(x \right)+64 \ln \left(x \right)^{2}-3456 \ln \left(x \right)}{x^{2}}$&$24$\\ default&$\frac{64 \ln \left(x \right)^{2}}{x^{2}}-\frac{3456 \ln \left(x \right)}{x^{2}}+\frac{46656}{x^{2}}+5 \ln \left(x \right)$&$27$\\ risch&$\frac{64 \ln \left(x \right)^{2}}{x^{2}}-\frac{3456 \ln \left(x \right)}{x^{2}}+\frac{5 x^{2} \ln \left(x \right)+46656}{x^{2}}$&$31$\\ \hline \end{longtable}"," ",0,"(46656+5*x^2*ln(x)+64*ln(x)^2-3456*ln(x))/x^2","A"
7942,1,22,16,0.044000," ","int((-1024*exp(x)^2*x^2+(192*x+192)*exp(x))/((256*x^4+1024*x^3+1024*x^2)*exp(x)^2+(96*x^2+192*x)*exp(x)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{64 \,{\mathrm e}^{x} x}{16 \,{\mathrm e}^{x} x^{2}+32 \,{\mathrm e}^{x} x +3}$&$22$\\ risch&$\frac{4}{2+x}-\frac{12}{\left(2+x \right) \left(16 \,{\mathrm e}^{x} x^{2}+32 \,{\mathrm e}^{x} x +3\right)}$&$32$\\ \hline \end{longtable}"," ",0,"64*exp(x)*x/(16*exp(x)*x^2+32*exp(x)*x+3)","A"
7943,1,53,32,0.287000," ","int((((16*x^2-160*x+400)*exp(1)+4*x^2-20*x)*ln(((16*x^2-160*x+400)*exp(1)^2+(8*x^2-40*x)*exp(1)+x^2)/(16*x^2-160*x+400))+(4*x^4-40*x^3+100*x^2)*exp(1)+x^4-5*x^3+40*x)/((48*x^4-480*x^3+1200*x^2)*exp(1)+12*x^4-60*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(\frac{\left(16 x^{2}-160 x +400\right) {\mathrm e}^{2}+\left(8 x^{2}-40 x \right) {\mathrm e}+x^{2}}{16 x^{2}-160 x +400}\right)}{3 x}+\frac{x}{12}$&$53$\\ norman&$\frac{\frac{x^{2}}{12}-\frac{\ln \left(\frac{\left(16 x^{2}-160 x +400\right) {\mathrm e}^{2}+\left(8 x^{2}-40 x \right) {\mathrm e}+x^{2}}{16 x^{2}-160 x +400}\right)}{3}}{x}$&$58$\\ derivativedivides&$-\frac{4 \ln \left(2\right)}{15 \left(\frac{5}{x -5}+1\right)}-\frac{-\frac{\left(4 \,{\mathrm e}+1\right) {\mathrm e}^{-1} \ln \left(16 \,{\mathrm e}^{2}+\frac{40 \,{\mathrm e}}{x -5}+\frac{25}{\left(x -5\right)^{2}}+8 \,{\mathrm e}+\frac{10}{x -5}+1\right)}{60}-\frac{{\mathrm e}^{-1} \ln \left(16 \,{\mathrm e}^{2}+\frac{40 \,{\mathrm e}}{x -5}+\frac{25}{\left(x -5\right)^{2}}+8 \,{\mathrm e}+\frac{10}{x -5}+1\right)}{12 \left(x -5\right)}}{\frac{5}{x -5}+1}+\frac{x}{12}-\frac{5}{12}-\frac{2 \ln \left(4 \,{\mathrm e}+\frac{5}{x -5}+1\right)}{15}-\frac{{\mathrm e}^{-1} \ln \left(4 \,{\mathrm e}+\frac{5}{x -5}+1\right)}{30}$&$166$\\ default&$-\frac{4 \ln \left(2\right)}{15 \left(\frac{5}{x -5}+1\right)}-\frac{-\frac{\left(4 \,{\mathrm e}+1\right) {\mathrm e}^{-1} \ln \left(16 \,{\mathrm e}^{2}+\frac{40 \,{\mathrm e}}{x -5}+\frac{25}{\left(x -5\right)^{2}}+8 \,{\mathrm e}+\frac{10}{x -5}+1\right)}{60}-\frac{{\mathrm e}^{-1} \ln \left(16 \,{\mathrm e}^{2}+\frac{40 \,{\mathrm e}}{x -5}+\frac{25}{\left(x -5\right)^{2}}+8 \,{\mathrm e}+\frac{10}{x -5}+1\right)}{12 \left(x -5\right)}}{\frac{5}{x -5}+1}+\frac{x}{12}-\frac{5}{12}-\frac{2 \ln \left(4 \,{\mathrm e}+\frac{5}{x -5}+1\right)}{15}-\frac{{\mathrm e}^{-1} \ln \left(4 \,{\mathrm e}+\frac{5}{x -5}+1\right)}{30}$&$166$\\ \hline \end{longtable}"," ",0,"-1/3/x*ln(((16*x^2-160*x+400)*exp(2)+(8*x^2-40*x)*exp(1)+x^2)/(16*x^2-160*x+400))+1/12*x","A"
7944,1,47,21,0.227000," ","int((4*(2*x-10)*ln(2)*exp(x)^2+4*(-4*x^3+48*x^2-192*x+256)*ln(2)+4*x^3-48*x^2+192*x-256)/(4*(x-4)*ln(2)*exp(x)^2+4*(-4*x^4+48*x^3-192*x^2+256*x)*ln(2)+4*x^4-48*x^3+192*x^2-256*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(x -4\right)+\ln \left({\mathrm e}^{2 x}-\frac{x \left(4 x^{2} \ln \left(2\right)-32 x \ln \left(2\right)-x^{2}+64 \ln \left(2\right)+8 x -16\right)}{\ln \left(2\right)}\right)$&$47$\\ norman&$-2 \ln \left(x -4\right)+\ln \left(4 x^{3} \ln \left(2\right)-32 x^{2} \ln \left(2\right)-\ln \left(2\right) {\mathrm e}^{2 x}-x^{3}+64 x \ln \left(2\right)+8 x^{2}-16 x \right)$&$50$\\ \hline \end{longtable}"," ",0,"-2*ln(x-4)+ln(exp(2*x)-x*(4*x^2*ln(2)-32*x*ln(2)-x^2+64*ln(2)+8*x-16)/ln(2))","B"
7945,1,20,21,0.067000," ","int((9*x^5-23*x^4+192*x^2)*exp(x)/(324*x^4-2304*x^3+8704*x^2-16384*x+16384),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{x} x^{3}}{36 x^{2}-128 x +256}$&$20$\\ norman&$\frac{{\mathrm e}^{x} x^{3}}{36 x^{2}-128 x +256}$&$20$\\ risch&$\frac{{\mathrm e}^{x} x^{3}}{36 x^{2}-128 x +256}$&$20$\\ default&$-\frac{8 \,{\mathrm e}^{x} \left(x +16\right)}{15 \left(9 x^{2}-32 x +64\right)}-\frac{23 \,{\mathrm e}^{x}}{324}+\frac{184 \,{\mathrm e}^{x} \left(79 x -176\right)}{3645 \left(9 x^{2}-32 x +64\right)}+\frac{\left(9 x +55\right) {\mathrm e}^{x}}{324}-\frac{128 \,{\mathrm e}^{x} \left(59 x -316\right)}{3645 \left(9 x^{2}-32 x +64\right)}$&$76$\\ \hline \end{longtable}"," ",0,"1/4*x^3*exp(x)/(9*x^2-32*x+64)","A"
7946,1,25,21,0.029000," ","int((-3*x^2*exp(25)*exp(x)+(-33*x^2-12)*exp(25)+12)/x^2/exp(25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-33 x +\frac{12 \,{\mathrm e}^{-25} {\mathrm e}^{25}}{x}-\frac{12 \,{\mathrm e}^{-25}}{x}-3 \,{\mathrm e}^{x}$&$25$\\ norman&$\frac{-33 x^{2}+12 \left({\mathrm e}^{25}-1\right) {\mathrm e}^{-25}-3 \,{\mathrm e}^{x} x}{x}$&$26$\\ default&${\mathrm e}^{-25} \left(-\frac{12}{x}+\frac{12 \,{\mathrm e}^{25}}{x}-3 \,{\mathrm e}^{x} {\mathrm e}^{25}-33 x \,{\mathrm e}^{25}\right)$&$30$\\ \hline \end{longtable}"," ",0,"-33*x+12*exp(-25)/x*exp(25)-12*exp(-25)/x-3*exp(x)","A"
7947,1,18,12,0.018000," ","int(((6*x^3-4)*ln(x)+6*x^3+56*x^2+2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$6 x \ln \left(x \right)+56 \ln \left(x \right)+\frac{2 \ln \left(x \right)}{x^{2}}$&$18$\\ risch&$\frac{2 \left(3 x^{3}+1\right) \ln \left(x \right)}{x^{2}}+56 \ln \left(x \right)$&$20$\\ norman&$\frac{56 x^{2} \ln \left(x \right)+6 x^{3} \ln \left(x \right)+2 \ln \left(x \right)}{x^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"6*x*ln(x)+56*ln(x)+2*ln(x)/x^2","A"
7948,1,52,16,0.056000," ","int((4*x^3*ln(2)^2+(12*x^5-24*x^3+6*x^2)*ln(2)+8*x^7-36*x^5+10*x^4+36*x^3-18*x^2+2*x)*exp(x^4*ln(2)^2+(2*x^6-6*x^4+2*x^3)*ln(2)+x^8-6*x^6+2*x^5+9*x^4-6*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4^{x^{3} \left(x^{3}-3 x +1\right)} {\mathrm e}^{x^{2} \left(x^{6}+x^{2} \ln \left(2\right)^{2}-6 x^{4}+2 x^{3}+9 x^{2}-6 x +1\right)}$&$52$\\ derivativedivides&${\mathrm e}^{x^{4} \ln \left(2\right)^{2}+\left(2 x^{6}-6 x^{4}+2 x^{3}\right) \ln \left(2\right)+x^{8}-6 x^{6}+2 x^{5}+9 x^{4}-6 x^{3}+x^{2}}$&$56$\\ default&${\mathrm e}^{x^{4} \ln \left(2\right)^{2}+\left(2 x^{6}-6 x^{4}+2 x^{3}\right) \ln \left(2\right)+x^{8}-6 x^{6}+2 x^{5}+9 x^{4}-6 x^{3}+x^{2}}$&$56$\\ norman&${\mathrm e}^{x^{4} \ln \left(2\right)^{2}+\left(2 x^{6}-6 x^{4}+2 x^{3}\right) \ln \left(2\right)+x^{8}-6 x^{6}+2 x^{5}+9 x^{4}-6 x^{3}+x^{2}}$&$56$\\ gosper&${\mathrm e}^{x^{8}+2 x^{6} \ln \left(2\right)+x^{4} \ln \left(2\right)^{2}-6 x^{6}-6 x^{4} \ln \left(2\right)+2 x^{5}+2 x^{3} \ln \left(2\right)+9 x^{4}-6 x^{3}+x^{2}}$&$58$\\ \hline \end{longtable}"," ",0,"4^(x^3*(x^3-3*x+1))*exp(x^2*(x^6+x^2*ln(2)^2-6*x^4+2*x^3+9*x^2-6*x+1))","B"
7949,1,84,27,0.043000," ","int(((32*x^2+4544*x)*ln(x^2)^2+(-24*x^3-4512*x^2-147680*x+1290496)*ln(x^2)+4*x^4+848*x^3+38032*x^2-249920*x-645248)/((256*x^5+145408*x^4+30971904*x^3+2932006912*x^2+104086245376*x)*ln(x^2)^4+(-256*x^6-145920*x^5-31262720*x^4-2993950720*x^3-109950259200*x^2-208172490752*x)*ln(x^2)^3+((-32*x^3-9088*x^2-645248*x)*ln(5)+96*x^7+54912*x^6+11832960*x^5+1146178560*x^4+43476810240*x^3+160527378432*x^2+156129368064*x)*ln(x^2)^2+((16*x^4+4576*x^3+331712*x^2+645248*x)*ln(5)-16*x^8-9184*x^7-1990464*x^6-194974080*x^5-7628194560*x^4-41246833152*x^3-79530687488*x^2-52043122688*x)*ln(x^2)+x*ln(5)^2+(-2*x^5-576*x^4-42608*x^3-163584*x^2-161312*x)*ln(5)+x^9+576*x^8+125552*x^7+12434688*x^6+501133920*x^5+3531451392*x^4+10126522112*x^3+13194031104*x^2+6505390336*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{-x^{4}+8 x^{3} \ln \left(x^{2}\right)-16 x^{2} \ln \left(x^{2}\right)^{2}-288 x^{3}+2288 x^{2} \ln \left(x^{2}\right)-4544 x \ln \left(x^{2}\right)^{2}-21304 x^{2}+165856 x \ln \left(x^{2}\right)-322624 \ln \left(x^{2}\right)^{2}+\ln \left(5\right)-81792 x +322624 \ln \left(x^{2}\right)-80656}$&$84$\\ \hline \end{longtable}"," ",0,"1/(-x^4+8*x^3*ln(x^2)-16*x^2*ln(x^2)^2-288*x^3+2288*x^2*ln(x^2)-4544*x*ln(x^2)^2-21304*x^2+165856*x*ln(x^2)-322624*ln(x^2)^2+ln(5)-81792*x+322624*ln(x^2)-80656)","B"
7950,1,58,31,0.134000," ","int((-30*exp(5*x)*exp(exp(5*x))+12*x*ln(x)^2+(24*x*ln(5)+36*x^2+12*x)*ln(x)+12*x*ln(5)^2+(36*x^2+12*x)*ln(5)+24*x^3+12*x^2)*exp(-3/(exp(exp(5*x))-x^2*ln(x)^2+(-2*x^2*ln(5)-2*x^3)*ln(x)-x^2*ln(5)^2-2*x^3*ln(5)-x^4))^2/(exp(exp(5*x))^2+(-2*x^2*ln(x)^2+(-4*x^2*ln(5)-4*x^3)*ln(x)-2*x^2*ln(5)^2-4*x^3*ln(5)-2*x^4)*exp(exp(5*x))+x^4*ln(x)^4+(4*x^4*ln(5)+4*x^5)*ln(x)^3+(6*x^4*ln(5)^2+12*x^5*ln(5)+6*x^6)*ln(x)^2+(4*x^4*ln(5)^3+12*x^5*ln(5)^2+12*x^6*ln(5)+4*x^7)*ln(x)+x^4*ln(5)^4+4*x^5*ln(5)^3+6*x^6*ln(5)^2+4*x^7*ln(5)+x^8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{6}{x^{2} \ln \left(x \right)^{2}+2 x^{2} \ln \left(5\right) \ln \left(x \right)+2 x^{3} \ln \left(x \right)+x^{2} \ln \left(5\right)^{2}+2 x^{3} \ln \left(5\right)+x^{4}-{\mathrm e}^{{\mathrm e}^{5 x}}}}$&$58$\\ \hline \end{longtable}"," ",0,"-exp(6/(x^2*ln(x)^2+2*x^2*ln(5)*ln(x)+2*x^3*ln(x)+x^2*ln(5)^2+2*x^3*ln(5)+x^4-exp(exp(5*x))))","A"
7951,1,29,21,0.038000," ","int(((2*x^5-4*x^2)*exp(5)-4*x^6+2*x^3+4)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x \,{\mathrm e}^{5}-2 x^{2}-\frac{1}{x^{4}}+\frac{2 \,{\mathrm e}^{5}}{x^{2}}-\frac{2}{x}$&$29$\\ risch&$2 x \,{\mathrm e}^{5}-2 x^{2}+\frac{2 x^{2} {\mathrm e}^{5}-2 x^{3}-1}{x^{4}}$&$30$\\ gosper&$\frac{2 x^{5} {\mathrm e}^{5}-2 x^{6}+2 x^{2} {\mathrm e}^{5}-2 x^{3}-1}{x^{4}}$&$31$\\ norman&$\frac{2 x^{5} {\mathrm e}^{5}-2 x^{6}+2 x^{2} {\mathrm e}^{5}-2 x^{3}-1}{x^{4}}$&$31$\\ \hline \end{longtable}"," ",0,"2*x*exp(5)-2*x^2-1/x^4+2*exp(5)/x^2-2/x","A"
7952,1,29,26,0.048000," ","int((2*x*exp(1)^2+4*x*exp(1)-12*x^6-25*x^4-15*x^2+2*x)/(x^4+2*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x^{3}-x +\frac{x -{\mathrm e}^{2}-2 \,{\mathrm e}-1}{x^{2}+1}$&$29$\\ risch&$-4 x^{3}-x +\frac{x -{\mathrm e}^{2}-2 \,{\mathrm e}-1}{x^{2}+1}$&$29$\\ gosper&$-\frac{4 x^{5}+5 x^{3}+{\mathrm e}^{2}+2 \,{\mathrm e}+1}{x^{2}+1}$&$30$\\ norman&$\frac{-4 x^{5}-1-5 x^{3}-{\mathrm e}^{2}-2 \,{\mathrm e}}{x^{2}+1}$&$31$\\ \hline \end{longtable}"," ",0,"-4*x^3-x+(x-exp(2)-2*exp(1)-1)/(x^2+1)","A"
7953,1,38,20,0.271000," ","int((-8*exp(1)-4)*exp((3*ln(ln(2*x*exp(1)+3+x))+4)/ln(ln(2*x*exp(1)+3+x)))*exp(exp((3*ln(ln(2*x*exp(1)+3+x))+4)/ln(ln(2*x*exp(1)+3+x)))-1)/(2*x*exp(1)+3+x)/ln(2*x*exp(1)+3+x)/ln(ln(2*x*exp(1)+3+x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\frac{\left(-2 \,{\mathrm e}-1\right) {\mathrm e}^{{\mathrm e}^{\frac{4}{\ln \left(\ln \left(2 x \,{\mathrm e}+3+x \right)\right)}} {\mathrm e}^{3}} {\mathrm e}^{-1}}{2 \,{\mathrm e}+1}$&$38$\\ default&$-\frac{\left(-8 \,{\mathrm e}-4\right) {\mathrm e}^{{\mathrm e}^{\frac{4}{\ln \left(\ln \left(2 x \,{\mathrm e}+3+x \right)\right)}} {\mathrm e}^{3}} {\mathrm e}^{-1}}{4 \left(2 \,{\mathrm e}+1\right)}$&$38$\\ risch&$\frac{2 \,{\mathrm e}^{{\mathrm e}^{\frac{3 \ln \left(\ln \left(2 x \,{\mathrm e}+3+x \right)\right)+4}{\ln \left(\ln \left(2 x \,{\mathrm e}+3+x \right)\right)}}-1} {\mathrm e}}{2 \,{\mathrm e}+1}+\frac{{\mathrm e}^{{\mathrm e}^{\frac{3 \ln \left(\ln \left(2 x \,{\mathrm e}+3+x \right)\right)+4}{\ln \left(\ln \left(2 x \,{\mathrm e}+3+x \right)\right)}}-1}}{2 \,{\mathrm e}+1}$&$85$\\ \hline \end{longtable}"," ",0,"-(-2*exp(1)-1)/(2*exp(1)+1)*exp(exp(1/ln(ln(2*x*exp(1)+3+x)))^4*exp(3))*exp(-1)","A"
7954,1,9,14,0.013000," ","int(-4*x+231,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(2 x -231\right)$&$9$\\ default&$-2 x^{2}+231 x$&$10$\\ norman&$-2 x^{2}+231 x$&$10$\\ risch&$-2 x^{2}+231 x$&$10$\\ \hline \end{longtable}"," ",0,"-x*(2*x-231)","A"
7955,0,0,23,0.193000," ","int(((2*x-5)*ln(1/100*x^3/exp(x))+x^2-16*x+35)/((x^2-5*x)*ln(1/100*x^3/exp(x))-4*x^2+20*x)/ln((-x^2+5*x)/(ln(1/100*x^3/exp(x))-4)),x)","\[\int \frac{\left(2 x -5\right) \ln \left(\frac{x^{3} {\mathrm e}^{-x}}{100}\right)+x^{2}-16 x +35}{\left(\left(x^{2}-5 x \right) \ln \left(\frac{x^{3} {\mathrm e}^{-x}}{100}\right)-4 x^{2}+20 x \right) \ln \left(\frac{-x^{2}+5 x}{\ln \left(\frac{x^{3} {\mathrm e}^{-x}}{100}\right)-4}\right)}\, dx\]"," ",0,"int(((2*x-5)*ln(1/100*x^3/exp(x))+x^2-16*x+35)/((x^2-5*x)*ln(1/100*x^3/exp(x))-4*x^2+20*x)/ln((-x^2+5*x)/(ln(1/100*x^3/exp(x))-4)),x)","F"
7956,1,52,27,0.310000," ","int((-250*exp(3)^3-750*exp(1)*exp(3)^2-750*exp(1)^2*exp(3)-250*exp(1)^3)*exp(9)^3/(((125*x^3-750*x^2+1500*x-1000)*exp(3)^3+(375*x^3-2250*x^2+4500*x-3000)*exp(1)*exp(3)^2+(375*x^3-2250*x^2+4500*x-3000)*exp(1)^2*exp(3)+(125*x^3-750*x^2+1500*x-1000)*exp(1)^3)*exp(9)^3+((-450*x^2+1800*x-1800)*exp(3)^2+(-900*x^2+3600*x-3600)*exp(1)*exp(3)+(-450*x^2+1800*x-1800)*exp(1)^2)*exp(9)^2+((540*x-1080)*exp(3)+(540*x-1080)*exp(1))*exp(9)-216),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{25 \,{\mathrm e}^{18} \left({\mathrm e}^{2}+2 \,{\mathrm e} \,{\mathrm e}^{3}+{\mathrm e}^{6}\right)}{\left(5 \,{\mathrm e} \,{\mathrm e}^{9} x +5 \,{\mathrm e}^{3} {\mathrm e}^{9} x -10 \,{\mathrm e} \,{\mathrm e}^{9}-10 \,{\mathrm e}^{3} {\mathrm e}^{9}-6\right)^{2}}$&$52$\\ gosper&$\frac{25 \,{\mathrm e}^{18} \left({\mathrm e}^{2}+2 \,{\mathrm e} \,{\mathrm e}^{3}+{\mathrm e}^{6}\right)}{25 \,{\mathrm e}^{2} {\mathrm e}^{18} x^{2}+50 \,{\mathrm e} \,{\mathrm e}^{3} {\mathrm e}^{18} x^{2}+25 \,{\mathrm e}^{6} {\mathrm e}^{18} x^{2}-100 \,{\mathrm e}^{2} {\mathrm e}^{18} x -200 \,{\mathrm e} \,{\mathrm e}^{3} {\mathrm e}^{18} x -100 \,{\mathrm e}^{6} {\mathrm e}^{18} x +100 \,{\mathrm e}^{2} {\mathrm e}^{18}+200 \,{\mathrm e} \,{\mathrm e}^{3} {\mathrm e}^{18}+100 \,{\mathrm e}^{6} {\mathrm e}^{18}-60 \,{\mathrm e} \,{\mathrm e}^{9} x -60 \,{\mathrm e}^{3} {\mathrm e}^{9} x +120 \,{\mathrm e} \,{\mathrm e}^{9}+120 \,{\mathrm e}^{3} {\mathrm e}^{9}+36}$&$154$\\ default&$\frac{50 \left(-{\mathrm e}^{9}-3 \,{\mathrm e} \,{\mathrm e}^{6}-3 \,{\mathrm e}^{2} {\mathrm e}^{3}-{\mathrm e}^{3}\right) {\mathrm e}^{27} \left(\munderset{\textit{\_R} =\RootOf \left(\left(125 \,{\mathrm e}^{36}+125 \,{\mathrm e}^{30}+375 \,{\mathrm e}^{32}+375 \,{\mathrm e}^{34}\right) \textit{\_Z}^{3}+\left(-450 \,{\mathrm e}^{20}-750 \,{\mathrm e}^{30}-750 \,{\mathrm e}^{36}-450 \,{\mathrm e}^{24}-900 \,{\mathrm e}^{22}-2250 \,{\mathrm e}^{32}-2250 \,{\mathrm e}^{34}\right) \textit{\_Z}^{2}+\left(540 \,{\mathrm e}^{10}+1800 \,{\mathrm e}^{20}+4500 \,{\mathrm e}^{32}+1500 \,{\mathrm e}^{36}+1500 \,{\mathrm e}^{30}+1800 \,{\mathrm e}^{24}+540 \,{\mathrm e}^{12}+3600 \,{\mathrm e}^{22}+4500 \,{\mathrm e}^{34}\right) \textit{\_Z} -216-1800 \,{\mathrm e}^{20}-1080 \,{\mathrm e}^{10}-1000 \,{\mathrm e}^{36}-3000 \,{\mathrm e}^{32}-3600 \,{\mathrm e}^{22}-1080 \,{\mathrm e}^{12}-1800 \,{\mathrm e}^{24}-1000 \,{\mathrm e}^{30}-3000 \,{\mathrm e}^{34}\right)}{\sum}\frac{\ln \left(x -\textit{\_R} \right)}{36 \,{\mathrm e}^{10}-60 \textit{\_R} \,{\mathrm e}^{20}+120 \,{\mathrm e}^{20}+300 \,{\mathrm e}^{32}+25 \textit{\_R}^{2} {\mathrm e}^{36}+100 \,{\mathrm e}^{36}+25 \textit{\_R}^{2} {\mathrm e}^{30}-100 \textit{\_R} \,{\mathrm e}^{30}-100 \textit{\_R} \,{\mathrm e}^{36}+100 \,{\mathrm e}^{30}+120 \,{\mathrm e}^{24}+36 \,{\mathrm e}^{12}-60 \textit{\_R} \,{\mathrm e}^{24}+240 \,{\mathrm e}^{22}-120 \textit{\_R} \,{\mathrm e}^{22}+75 \textit{\_R}^{2} {\mathrm e}^{32}+75 \textit{\_R}^{2} {\mathrm e}^{34}+300 \,{\mathrm e}^{34}-300 \textit{\_R} \,{\mathrm e}^{32}-300 \textit{\_R} \,{\mathrm e}^{34}}\right)}{3}$&$280$\\ risch&$\frac{{\mathrm e}^{17} {\mathrm e}^{9}}{\left({\mathrm e}^{2}+1\right) \left(x^{2} {\mathrm e}^{24}-4 x \,{\mathrm e}^{24}+4 \,{\mathrm e}^{24}+2 x^{2} {\mathrm e}^{22}-8 x \,{\mathrm e}^{22}+8 \,{\mathrm e}^{22}+x^{2} {\mathrm e}^{20}-4 x \,{\mathrm e}^{20}+4 \,{\mathrm e}^{20}-\frac{12 x \,{\mathrm e}^{12}}{5}+\frac{24 \,{\mathrm e}^{12}}{5}-\frac{12 x \,{\mathrm e}^{10}}{5}+\frac{24 \,{\mathrm e}^{10}}{5}+\frac{36}{25}\right)}+\frac{3 \,{\mathrm e}^{17} {\mathrm e}^{7}}{\left({\mathrm e}^{2}+1\right) \left(x^{2} {\mathrm e}^{24}-4 x \,{\mathrm e}^{24}+4 \,{\mathrm e}^{24}+2 x^{2} {\mathrm e}^{22}-8 x \,{\mathrm e}^{22}+8 \,{\mathrm e}^{22}+x^{2} {\mathrm e}^{20}-4 x \,{\mathrm e}^{20}+4 \,{\mathrm e}^{20}-\frac{12 x \,{\mathrm e}^{12}}{5}+\frac{24 \,{\mathrm e}^{12}}{5}-\frac{12 x \,{\mathrm e}^{10}}{5}+\frac{24 \,{\mathrm e}^{10}}{5}+\frac{36}{25}\right)}+\frac{3 \,{\mathrm e}^{17} {\mathrm e}^{5}}{\left({\mathrm e}^{2}+1\right) \left(x^{2} {\mathrm e}^{24}-4 x \,{\mathrm e}^{24}+4 \,{\mathrm e}^{24}+2 x^{2} {\mathrm e}^{22}-8 x \,{\mathrm e}^{22}+8 \,{\mathrm e}^{22}+x^{2} {\mathrm e}^{20}-4 x \,{\mathrm e}^{20}+4 \,{\mathrm e}^{20}-\frac{12 x \,{\mathrm e}^{12}}{5}+\frac{24 \,{\mathrm e}^{12}}{5}-\frac{12 x \,{\mathrm e}^{10}}{5}+\frac{24 \,{\mathrm e}^{10}}{5}+\frac{36}{25}\right)}+\frac{{\mathrm e}^{17} {\mathrm e}^{3}}{\left({\mathrm e}^{2}+1\right) \left(x^{2} {\mathrm e}^{24}-4 x \,{\mathrm e}^{24}+4 \,{\mathrm e}^{24}+2 x^{2} {\mathrm e}^{22}-8 x \,{\mathrm e}^{22}+8 \,{\mathrm e}^{22}+x^{2} {\mathrm e}^{20}-4 x \,{\mathrm e}^{20}+4 \,{\mathrm e}^{20}-\frac{12 x \,{\mathrm e}^{12}}{5}+\frac{24 \,{\mathrm e}^{12}}{5}-\frac{12 x \,{\mathrm e}^{10}}{5}+\frac{24 \,{\mathrm e}^{10}}{5}+\frac{36}{25}\right)}$&$320$\\ \hline \end{longtable}"," ",0,"25*exp(9)^2*(exp(1)^2+2*exp(1)*exp(3)+exp(3)^2)/(5*exp(1)*exp(9)*x+5*exp(3)*exp(9)*x-10*exp(1)*exp(9)-10*exp(3)*exp(9)-6)^2","A"
7957,1,19,26,0.027000," ","int((ln(2)-2*exp(3)-2*x-3)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(x +2 \,{\mathrm e}^{3}-\ln \left(2\right)+3\right) {\mathrm e}^{-3}$&$19$\\ risch&${\mathrm e}^{-3} \ln \left(2\right) x -2 x -x^{2} {\mathrm e}^{-3}-3 x \,{\mathrm e}^{-3}$&$23$\\ default&${\mathrm e}^{-3} \left(x \ln \left(2\right)-2 x \,{\mathrm e}^{3}-x^{2}-3 x \right)$&$24$\\ norman&$-x^{2} {\mathrm e}^{-3}-{\mathrm e}^{-3} \left(2 \,{\mathrm e}^{3}-\ln \left(2\right)+3\right) x$&$28$\\ \hline \end{longtable}"," ",0,"-x*(x+2*exp(3)-ln(2)+3)/exp(3)","A"
7958,1,2102,21,0.610000," ","int(((-x-ln(x))*ln(x^2*ln(x)+x^3)*ln(1/4/x/ln(x^2*ln(x)+x^3))+(-x-ln(x))*ln(x^2*ln(x)+x^3)-2*ln(x)-3*x-1)/(x^2*ln(x)+x^3)/ln(x^2*ln(x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2102$\\ \hline \end{longtable}"," ",0,"-1/x*ln(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))-Pi*csgn(I*x^2)*csgn(I*x^2*(x+ln(x)))^2-Pi*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))^2+Pi*csgn(I*x^2*(x+ln(x)))^3+4*I*ln(x)+2*I*ln(x+ln(x)))-1/2*(I*Pi*csgn(I/x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))-Pi*csgn(I*x^2)*csgn(I*x^2*(x+ln(x)))^2-Pi*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))^2+Pi*csgn(I*x^2*(x+ln(x)))^3+4*I*ln(x)+2*I*ln(x+ln(x))))*csgn(1/x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))-Pi*csgn(I*x^2)*csgn(I*x^2*(x+ln(x)))^2-Pi*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))^2+Pi*csgn(I*x^2*(x+ln(x)))^3+4*I*ln(x)+2*I*ln(x+ln(x))))+I*Pi*csgn(1/x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))-Pi*csgn(I*x^2)*csgn(I*x^2*(x+ln(x)))^2-Pi*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))^2+Pi*csgn(I*x^2*(x+ln(x)))^3+4*I*ln(x)+2*I*ln(x+ln(x))))^2-I*Pi*csgn(I/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))-Pi*csgn(I*x^2)*csgn(I*x^2*(x+ln(x)))^2-Pi*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))^2+Pi*csgn(I*x^2*(x+ln(x)))^3+4*I*ln(x)+2*I*ln(x+ln(x))))*csgn(I/x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))-Pi*csgn(I*x^2)*csgn(I*x^2*(x+ln(x)))^2-Pi*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))^2+Pi*csgn(I*x^2*(x+ln(x)))^3+4*I*ln(x)+2*I*ln(x+ln(x))))^2+I*Pi*csgn(I/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))-Pi*csgn(I*x^2)*csgn(I*x^2*(x+ln(x)))^2-Pi*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))^2+Pi*csgn(I*x^2*(x+ln(x)))^3+4*I*ln(x)+2*I*ln(x+ln(x))))*csgn(I/x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))-Pi*csgn(I*x^2)*csgn(I*x^2*(x+ln(x)))^2-Pi*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))^2+Pi*csgn(I*x^2*(x+ln(x)))^3+4*I*ln(x)+2*I*ln(x+ln(x))))*csgn(I/x)+I*Pi*csgn(I/x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))-Pi*csgn(I*x^2)*csgn(I*x^2*(x+ln(x)))^2-Pi*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))^2+Pi*csgn(I*x^2*(x+ln(x)))^3+4*I*ln(x)+2*I*ln(x+ln(x))))^3-I*Pi*csgn(I/x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))-Pi*csgn(I*x^2)*csgn(I*x^2*(x+ln(x)))^2-Pi*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))^2+Pi*csgn(I*x^2*(x+ln(x)))^3+4*I*ln(x)+2*I*ln(x+ln(x))))^2*csgn(I/x)-I*Pi*csgn(I/x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))-Pi*csgn(I*x^2)*csgn(I*x^2*(x+ln(x)))^2-Pi*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))^2+Pi*csgn(I*x^2*(x+ln(x)))^3+4*I*ln(x)+2*I*ln(x+ln(x))))*csgn(1/x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))-Pi*csgn(I*x^2)*csgn(I*x^2*(x+ln(x)))^2-Pi*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))^2+Pi*csgn(I*x^2*(x+ln(x)))^3+4*I*ln(x)+2*I*ln(x+ln(x))))^2-I*Pi*csgn(1/x/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))-Pi*csgn(I*x^2)*csgn(I*x^2*(x+ln(x)))^2-Pi*csgn(I*(x+ln(x)))*csgn(I*x^2*(x+ln(x)))^2+Pi*csgn(I*x^2*(x+ln(x)))^3+4*I*ln(x)+2*I*ln(x+ln(x))))^3-I*Pi+2*ln(2)+2*ln(x))/x","C"
7959,1,30,29,0.040000," ","int((6*ln(x)^2+(-2*x^3+x^2-24)*exp(x^2-x)*ln(x)+24*exp(x^2-x)^2+x*exp(x^2-x))/(9*x^2*ln(x)^2-36*x^2*exp(x^2-x)*ln(x)+36*x^2*exp(x^2-x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2}{3 x}+\frac{{\mathrm e}^{x \left(x -1\right)}}{18 \,{\mathrm e}^{x \left(x -1\right)}-9 \ln \left(x \right)}$&$30$\\ \hline \end{longtable}"," ",0,"-2/3/x+1/9*exp(x*(x-1))/(2*exp(x*(x-1))-ln(x))","A"
7960,1,7,6,0.316000," ","int(-1/(exp(5)^2+2*x*exp(5)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{1}{{\mathrm e}^{5}+x}$&$7$\\ norman&$\frac{1}{{\mathrm e}^{5}+x}$&$7$\\ risch&$\frac{1}{{\mathrm e}^{5}+x}$&$7$\\ meijerg&$-\frac{{\mathrm e}^{-10} x}{1+x \,{\mathrm e}^{-5}}$&$14$\\ \hline \end{longtable}"," ",0,"1/(exp(5)+x)","A"
7961,1,34,27,0.069000," ","int(((25*x^6+80*x^5+114*x^4+80*x^3+25*x^2)*ln(x)-125*x^5-375*x^4-40*x^3+359*x^2+355*x+150)/((25*x^6+80*x^5+114*x^4+80*x^3+25*x^2)*ln(x)-150*x^5-605*x^4-884*x^3-605*x^2-150*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(\ln \left(x \right)-\frac{30 x^{2}+73 x +30}{x \left(5 x^{2}+8 x +5\right)}\right)$&$34$\\ norman&$x -\ln \left(x \right)-\ln \left(5 x^{2}+8 x +5\right)+\ln \left(5 x^{3} \ln \left(x \right)+8 x^{2} \ln \left(x \right)-30 x^{2}+5 x \ln \left(x \right)-73 x -30\right)$&$50$\\ \hline \end{longtable}"," ",0,"x+ln(ln(x)-(30*x^2+73*x+30)/x/(5*x^2+8*x+5))","A"
7962,1,34,32,0.217000," ","int(((x^2+1)*exp(-x+4)^2+2*(-x-2)*ln(2)*exp(-x+4)+4*ln(2)^2)/(x^2*exp(-x+4)^2-4*x*ln(2)*exp(-x+4)+4*ln(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{1}{x}-\frac{2 \left(x -1\right) \ln \left(2\right)}{x \left(-x \,{\mathrm e}^{-x +4}+2 \ln \left(2\right)\right)}$&$34$\\ norman&$\frac{2 x \ln \left(2\right)-x^{2} {\mathrm e}^{-x +4}-2 \ln \left(2\right)+{\mathrm e}^{-x +4}}{-x \,{\mathrm e}^{-x +4}+2 \ln \left(2\right)}$&$45$\\ \hline \end{longtable}"," ",0,"x-1/x-2*(x-1)*ln(2)/x/(-x*exp(-x+4)+2*ln(2))","A"
7963,1,16,20,0.034000," ","int(((x-1)*exp(5)-2)*exp(x)/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x \,{\mathrm e}^{5}-2 \,{\mathrm e}^{5}-2\right) {\mathrm e}^{x -5}$&$16$\\ gosper&${\mathrm e}^{x} \left(x \,{\mathrm e}^{5}-2 \,{\mathrm e}^{5}-2\right) {\mathrm e}^{-5}$&$18$\\ norman&${\mathrm e}^{x} x -2 \left({\mathrm e}^{5}+1\right) {\mathrm e}^{-5} {\mathrm e}^{x}$&$18$\\ meijerg&$2 \,{\mathrm e}^{-5} \left(1-{\mathrm e}^{x}\right)+2-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}-{\mathrm e}^{x}$&$26$\\ default&${\mathrm e}^{-5} \left({\mathrm e}^{5} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)-{\mathrm e}^{5} {\mathrm e}^{x}-2 \,{\mathrm e}^{x}\right)$&$29$\\ \hline \end{longtable}"," ",0,"(x*exp(5)-2*exp(5)-2)*exp(x-5)","A"
7964,1,9,9,0.009000," ","int(4/5*exp(3/16)+84/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(\frac{4 \,{\mathrm e}^{\frac{3}{16}}}{5}+\frac{84}{5}\right) x$&$9$\\ norman&$\left(\frac{4 \,{\mathrm e}^{\frac{3}{16}}}{5}+\frac{84}{5}\right) x$&$9$\\ risch&$\frac{4 \,{\mathrm e}^{\frac{3}{16}} x}{5}+\frac{84 x}{5}$&$10$\\ \hline \end{longtable}"," ",0,"(4/5*exp(3/16)+84/5)*x","A"
7965,1,36,20,0.349000," ","int(((2*exp(2)*x-x^2)*ln(x)*ln(ln(x))+((2*x+1)*exp(2)^2+(-4*x^2-2*x)*exp(2)+2*x^3+x^2)*ln(x)+exp(2)*x-x^2)/(exp(2)^2-2*exp(2)*x+x^2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left({\mathrm e}^{4}-{\mathrm e}^{2} x +x^{2}\right) \ln \left(\ln \left(x \right)\right)}{{\mathrm e}^{2}-x}+x^{2}+x -{\mathrm e}^{2} \ln \left(\ln \left(x \right)\right)$&$36$\\ \hline \end{longtable}"," ",0,"(exp(4)-exp(2)*x+x^2)/(exp(2)-x)*ln(ln(x))+x^2+x-exp(2)*ln(ln(x))","A"
7966,1,51,23,0.135000," ","int(((x^4+2*x^3+x^2)*ln(1/x)^2+(4*x^3+4*x^2+4*x)*ln(1/x)+8*x^2+12*x+12)*exp(((x^3+2*x^2+x)*ln(1/x)+2*x^2+8*x+2)/((x^2+x)*ln(1/x)+2*x+2))/((x^4+2*x^3+x^2)*ln(1/x)^2+(4*x^3+8*x^2+4*x)*ln(1/x)+4*x^2+8*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{3} \ln \left(\frac{1}{x}\right)+2 x^{2} \ln \left(\frac{1}{x}\right)+x \ln \left(\frac{1}{x}\right)+2 x^{2}+8 x +2}{\left(x +1\right) \left(x \ln \left(\frac{1}{x}\right)+2\right)}}$&$51$\\ \hline \end{longtable}"," ",0,"exp((x^3*ln(1/x)+2*x^2*ln(1/x)+x*ln(1/x)+2*x^2+8*x+2)/(x+1)/(x*ln(1/x)+2))","B"
7967,1,35,17,0.267000," ","int(((-x^4+x^3+3*x^2)*exp((2*x^4+5*x^3+6*x^2+4*x+2)/(x^4+2*x^3+3*x^2+2*x+1))-x^6-3*x^5-6*x^4-7*x^3-6*x^2-3*x-1)/(x^6+3*x^5+6*x^4+7*x^3+6*x^2+3*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{\frac{2 x^{4}+5 x^{3}+6 x^{2}+4 x +2}{\left(x^{2}+x +1\right)^{2}}}$&$35$\\ norman&$\frac{x^{4} {\mathrm e}^{\frac{2 x^{4}+5 x^{3}+6 x^{2}+4 x +2}{x^{4}+2 x^{3}+3 x^{2}+2 x +1}}-\frac{5 x^{3}}{3}-\frac{4 x^{4}}{3}+\frac{x}{3}-x^{5}+2 x \,{\mathrm e}^{\frac{2 x^{4}+5 x^{3}+6 x^{2}+4 x +2}{x^{4}+2 x^{3}+3 x^{2}+2 x +1}}+3 \,{\mathrm e}^{\frac{2 x^{4}+5 x^{3}+6 x^{2}+4 x +2}{x^{4}+2 x^{3}+3 x^{2}+2 x +1}} x^{2}+2 \,{\mathrm e}^{\frac{2 x^{4}+5 x^{3}+6 x^{2}+4 x +2}{x^{4}+2 x^{3}+3 x^{2}+2 x +1}} x^{3}+\frac{2}{3}+{\mathrm e}^{\frac{2 x^{4}+5 x^{3}+6 x^{2}+4 x +2}{x^{4}+2 x^{3}+3 x^{2}+2 x +1}}}{\left(x^{2}+x +1\right)^{2}}$&$257$\\ \hline \end{longtable}"," ",0,"-x+exp((2*x^4+5*x^3+6*x^2+4*x+2)/(x^2+x+1)^2)","A"
7968,1,19,13,0.044000," ","int((3*x^2+6*x+6)*exp(x)/((3*x^2+6*x)*exp(x)+8*x^2+32*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(2+x \right)+\ln \left(3 \,{\mathrm e}^{x} x +8 x +16\right)$&$19$\\ risch&$\ln \left(x \right)-\ln \left(2+x \right)+\ln \left({\mathrm e}^{x}+\frac{\frac{8 x}{3}+\frac{16}{3}}{x}\right)$&$22$\\ \hline \end{longtable}"," ",0,"-ln(2+x)+ln(3*exp(x)*x+8*x+16)","A"
7969,1,230,24,0.125000," ","int(1/5*((12*x^2*exp(3/5*x+8)^4+(-36*x^3-92*x^2)*exp(3/5*x+8)^3+(36*x^4+204*x^3+264*x^2)*exp(3/5*x+8)^2+(-12*x^5-132*x^4-384*x^3-336*x^2)*exp(3/5*x+8)+20*x^5+120*x^4+240*x^3+160*x^2)*ln(x)^2+(10*x*exp(3/5*x+8)^4+(-40*x^2-80*x)*exp(3/5*x+8)^3+(60*x^3+240*x^2+240*x)*exp(3/5*x+8)^2+(-40*x^4-240*x^3-480*x^2-320*x)*exp(3/5*x+8)+10*x^5+80*x^4+240*x^3+320*x^2+160*x)*ln(x)+(48*x-20)*exp(3/5*x+8)^4+(-144*x^2-288*x+160)*exp(3/5*x+8)^3+(144*x^3+696*x^2+576*x-480)*exp(3/5*x+8)^2+(-48*x^4-448*x^3-1056*x^2-384*x+640)*exp(3/5*x+8)+60*x^4+320*x^3+480*x^2-320)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(5 x^{4}-20 \,{\mathrm e}^{\frac{3 x}{5}+8} x^{3}+30 \,{\mathrm e}^{\frac{6 x}{5}+16} x^{2}-20 \,{\mathrm e}^{\frac{9 x}{5}+24} x +5 \,{\mathrm e}^{\frac{12 x}{5}+32}+40 x^{3}-120 \,{\mathrm e}^{\frac{3 x}{5}+8} x^{2}+120 \,{\mathrm e}^{\frac{6 x}{5}+16} x -40 \,{\mathrm e}^{\frac{9 x}{5}+24}+120 x^{2}-240 \,{\mathrm e}^{\frac{3 x}{5}+8} x +120 \,{\mathrm e}^{\frac{6 x}{5}+16}+160 x -160 \,{\mathrm e}^{\frac{3 x}{5}+8}+80\right) \ln \left(x \right)^{2}}{5}+\frac{4 x^{4}-16 \,{\mathrm e}^{\frac{3 x}{5}+8} x^{3}+24 \,{\mathrm e}^{\frac{6 x}{5}+16} x^{2}-16 \,{\mathrm e}^{\frac{9 x}{5}+24} x +4 \,{\mathrm e}^{\frac{12 x}{5}+32}+32 x^{3}-96 \,{\mathrm e}^{\frac{3 x}{5}+8} x^{2}+96 \,{\mathrm e}^{\frac{6 x}{5}+16} x -32 \,{\mathrm e}^{\frac{9 x}{5}+24}+96 x^{2}-192 \,{\mathrm e}^{\frac{3 x}{5}+8} x +96 \,{\mathrm e}^{\frac{6 x}{5}+16}-128 \,{\mathrm e}^{\frac{3 x}{5}+8}+64}{x}$&$230$\\ \hline \end{longtable}"," ",0,"1/5*(5*x^4-20*exp(3/5*x+8)*x^3+30*exp(6/5*x+16)*x^2-20*exp(9/5*x+24)*x+5*exp(12/5*x+32)+40*x^3-120*exp(3/5*x+8)*x^2+120*exp(6/5*x+16)*x-40*exp(9/5*x+24)+120*x^2-240*exp(3/5*x+8)*x+120*exp(6/5*x+16)+160*x-160*exp(3/5*x+8)+80)*ln(x)^2+4*(x^4-4*exp(3/5*x+8)*x^3+6*exp(6/5*x+16)*x^2-4*exp(9/5*x+24)*x+exp(12/5*x+32)+8*x^3-24*exp(3/5*x+8)*x^2+24*exp(6/5*x+16)*x-8*exp(9/5*x+24)+24*x^2-48*exp(3/5*x+8)*x+24*exp(6/5*x+16)-32*exp(3/5*x+8)+16)/x","B"
7970,1,35,27,0.378000," ","int((-5*exp(x)*x^2-3*exp(x-3)^2+30*exp(x-3)-75)*exp((exp(x)*x+(3+x)*exp(x-3)-5*x-15)/(x*exp(x-3)-5*x))/(x^2*exp(x-3)^2-10*x^2*exp(x-3)+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{x} x +x \,{\mathrm e}^{x -3}+3 \,{\mathrm e}^{x -3}-5 x -15}{x \left({\mathrm e}^{x -3}-5\right)}}$&$35$\\ norman&$\frac{\left(5 x \,{\mathrm e}^{6} {\mathrm e}^{\frac{{\mathrm e}^{x} x +\left(3+x \right) {\mathrm e}^{-3} {\mathrm e}^{x}-5 x -15}{{\mathrm e}^{-3} {\mathrm e}^{x} x -5 x}}-x \,{\mathrm e}^{3} {\mathrm e}^{x} {\mathrm e}^{\frac{{\mathrm e}^{x} x +\left(3+x \right) {\mathrm e}^{-3} {\mathrm e}^{x}-5 x -15}{{\mathrm e}^{-3} {\mathrm e}^{x} x -5 x}}\right) {\mathrm e}^{-3}}{x \left(5 \,{\mathrm e}^{3}-{\mathrm e}^{x}\right)}$&$97$\\ \hline \end{longtable}"," ",0,"exp((exp(x)*x+x*exp(x-3)+3*exp(x-3)-5*x-15)/x/(exp(x-3)-5))","A"
7971,1,56,22,0.098000," ","int(1/25*(-x^4*ln(x)^4+(4*exp(x)*x^4-4*x^4)*ln(x)^3+((-12*x^3+6*x^2)*exp(x)^2+12*exp(x)*x^3)*ln(x)^2+((12*x^2-8*x)*exp(x)^3-12*exp(x)^2*x^2)*ln(x)+(3-4*x)*exp(x)^4+4*x*exp(x)^3+25*x^4+25*x^2)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 \,{\mathrm e}^{x} \ln \left(x \right)^{3}}{25}+\frac{4 \ln \left(x \right) {\mathrm e}^{3 x}}{25 x^{2}}-\frac{6 \ln \left(x \right)^{2} {\mathrm e}^{2 x}}{25 x}-\frac{x \ln \left(x \right)^{4}}{25}+x -\frac{1}{x}-\frac{{\mathrm e}^{4 x}}{25 x^{3}}$&$56$\\ risch&$-\frac{x \ln \left(x \right)^{4}}{25}+\frac{4 \,{\mathrm e}^{x} \ln \left(x \right)^{3}}{25}-\frac{6 \ln \left(x \right)^{2} {\mathrm e}^{2 x}}{25 x}+\frac{4 \ln \left(x \right) {\mathrm e}^{3 x}}{25 x^{2}}+\frac{25 x^{4}-{\mathrm e}^{4 x}-25 x^{2}}{25 x^{3}}$&$63$\\ \hline \end{longtable}"," ",0,"4/25*exp(x)*ln(x)^3+4/25/x^2*ln(x)*exp(3*x)-6/25*ln(x)^2*exp(2*x)/x-1/25*x*ln(x)^4+x-1/x-1/25*exp(4*x)/x^3","B"
7972,1,28,21,0.128000," ","int(((100*x^4+800*x^3+1050*x^2-2000*x-200)*exp(x^2+10*x+25)-200*x^2-800)/(x^4+6*x^3+x^2-24*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{200 x +50 \,{\mathrm e}^{x^{2}+10 x +25} x}{x^{2}+3 x -4}$&$28$\\ risch&$\frac{200 x}{x^{2}+3 x -4}+\frac{50 x \,{\mathrm e}^{\left(5+x \right)^{2}}}{x^{2}+3 x -4}$&$34$\\ \hline \end{longtable}"," ",0,"(200*x+50*exp(x^2+10*x+25)*x)/(x^2+3*x-4)","A"
7973,1,18,24,0.265000," ","int(1/20*((-8*x^4*exp(x^2+5)-8*x^2)*exp(exp(x^2+5))+15)/exp(1/5*x^2*exp(exp(x^2+5))+1/4*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\frac{3}{4}} {\mathrm e}^{-\frac{x^{2} {\mathrm e}^{{\mathrm e}^{x^{2}+5}}}{5}}$&$18$\\ \hline \end{longtable}"," ",0,"x^(3/4)*exp(-1/5*x^2*exp(exp(x^2+5)))","A"
7974,1,25,25,0.368000," ","int(((450*x^2-1255*x+875)*ln((-126*x+175)/(75*x-105))^2+(90*x^2-251*x+175)*exp(4)*ln((-126*x+175)/(75*x-105))+x*exp(4))/(90*x^2-251*x+175)/ln((-126*x+175)/(75*x-105))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x +\frac{x \,{\mathrm e}^{4}}{\ln \left(\frac{-126 x +175}{75 x -105}\right)}$&$25$\\ norman&$\frac{x \,{\mathrm e}^{4}+5 x \ln \left(\frac{-126 x +175}{75 x -105}\right)}{\ln \left(\frac{-126 x +175}{75 x -105}\right)}$&$40$\\ \hline \end{longtable}"," ",0,"5*x+x*exp(4)/ln((-126*x+175)/(75*x-105))","A"
7975,1,109,20,0.068000," ","int((-ln(3)^4+(4*x^2+8*x)*ln(3)^3+(-6*x^4-24*x^3)*ln(3)^2+(4*x^6+24*x^5)*ln(3)-x^8-8*x^7)*exp(x)-ln(3)^4+(12*x^2-4*x)*ln(3)^3+(-30*x^4+12*x^3)*ln(3)^2+(28*x^6-12*x^5)*ln(3)-9*x^8+4*x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x^{8}+4 x^{6} \ln \left(3\right)-6 x^{4} \ln \left(3\right)^{2}+4 \ln \left(3\right)^{3} x^{2}-\ln \left(3\right)^{4}\right) {\mathrm e}^{x}-x \ln \left(3\right)^{4}+4 x^{3} \ln \left(3\right)^{3}-2 \ln \left(3\right)^{3} x^{2}-6 x^{5} \ln \left(3\right)^{2}+3 x^{4} \ln \left(3\right)^{2}+4 \ln \left(3\right) x^{7}-2 x^{6} \ln \left(3\right)-x^{9}+\frac{x^{8}}{2}$&$109$\\ default&$-x^{8} {\mathrm e}^{x}-{\mathrm e}^{x} \ln \left(3\right)^{4}-6 \,{\mathrm e}^{x} x^{4} \ln \left(3\right)^{2}+4 \,{\mathrm e}^{x} \ln \left(3\right) x^{6}+4 \,{\mathrm e}^{x} \ln \left(3\right)^{3} x^{2}+4 x^{3} \ln \left(3\right)^{3}-2 \ln \left(3\right)^{3} x^{2}-6 x^{5} \ln \left(3\right)^{2}+3 x^{4} \ln \left(3\right)^{2}+4 \ln \left(3\right) x^{7}-2 x^{6} \ln \left(3\right)+\frac{x^{8}}{2}-x^{9}-x \ln \left(3\right)^{4}$&$115$\\ norman&$-x^{8} {\mathrm e}^{x}-{\mathrm e}^{x} \ln \left(3\right)^{4}-6 \,{\mathrm e}^{x} x^{4} \ln \left(3\right)^{2}+4 \,{\mathrm e}^{x} \ln \left(3\right) x^{6}+4 \,{\mathrm e}^{x} \ln \left(3\right)^{3} x^{2}+4 x^{3} \ln \left(3\right)^{3}-2 \ln \left(3\right)^{3} x^{2}-6 x^{5} \ln \left(3\right)^{2}+3 x^{4} \ln \left(3\right)^{2}+4 \ln \left(3\right) x^{7}-2 x^{6} \ln \left(3\right)+\frac{x^{8}}{2}-x^{9}-x \ln \left(3\right)^{4}$&$115$\\ \hline \end{longtable}"," ",0,"(-x^8+4*x^6*ln(3)-6*x^4*ln(3)^2+4*ln(3)^3*x^2-ln(3)^4)*exp(x)-x*ln(3)^4+4*x^3*ln(3)^3-2*ln(3)^3*x^2-6*x^5*ln(3)^2+3*x^4*ln(3)^2+4*ln(3)*x^7-2*x^6*ln(3)-x^9+1/2*x^8","B"
7976,1,31,23,0.056000," ","int(1/10*((4*x^3+40*x^2-75)*ln(5)-8*x^2-60)/x^2/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{5}+4 x -\frac{4 x}{5 \ln \left(5\right)}+\frac{15}{2 x}+\frac{6}{x \ln \left(5\right)}$&$31$\\ default&$\frac{2 x^{2} \ln \left(5\right)+40 x \ln \left(5\right)-8 x -\frac{-75 \ln \left(5\right)-60}{x}}{10 \ln \left(5\right)}$&$34$\\ gosper&$\frac{2 x^{3} \ln \left(5\right)+40 x^{2} \ln \left(5\right)-8 x^{2}+75 \ln \left(5\right)+60}{10 x \ln \left(5\right)}$&$35$\\ norman&$\frac{\frac{x^{3}}{5}+\frac{\frac{15 \ln \left(5\right)}{2}+6}{\ln \left(5\right)}+\frac{4 \left(5 \ln \left(5\right)-1\right) x^{2}}{5 \ln \left(5\right)}}{x}$&$38$\\ \hline \end{longtable}"," ",0,"1/5*x^2+4*x-4/5*x/ln(5)+15/2/x+6/x/ln(5)","A"
7977,1,45,22,0.071000," ","int((((2*x^2-630*x)*ln(4*x)-2*x^2+630*x)*ln(x/(ln(4*x)-1))+(x^2-630*x+4)*ln(4*x)-2*x^2+1260*x-8)/(2*x*ln(4*x)-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-315 x \ln \left(\frac{x}{\ln \left(4 x \right)-1}\right)+\frac{\ln \left(\frac{x}{\ln \left(4 x \right)-1}\right) x^{2}}{2}-2 \ln \left(\ln \left(4 x \right)-1\right)+2 \ln \left(x \right)$&$45$\\ \hline \end{longtable}"," ",0,"-315*x*ln(x/(ln(4*x)-1))+1/2*ln(x/(ln(4*x)-1))*x^2-2*ln(ln(4*x)-1)+2*ln(x)","A"
7978,1,24,22,0.064000," ","int(1/5*(-2*x*ln(x)^2+4*ln(x)+2*x*exp(exp(1)-3))/x/exp(3)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(x \right)^{2} {\mathrm e}^{-3-x}}{5}-\frac{2 \,{\mathrm e}^{{\mathrm e}-6-x}}{5}$&$24$\\ norman&$\left(\frac{2 \,{\mathrm e}^{-3} \ln \left(x \right)^{2}}{5}-\frac{2 \left({\mathrm e}^{-3}\right)^{2} {\mathrm e}^{{\mathrm e}}}{5}\right) {\mathrm e}^{-x}$&$28$\\ \hline \end{longtable}"," ",0,"2/5*ln(x)^2*exp(-3-x)-2/5*exp(exp(1)-6-x)","A"
7979,1,34,19,0.081000," ","int(1/5*(4*exp(x^2-10*x+25)-160*x^3+800*x^2+160*x)*exp(1/5*((4*x+8)*exp(x^2-10*x+25)+80*x^2)/exp(x^2-10*x+25))/exp(x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{4 \left({\mathrm e}^{\left(x -5\right)^{2}} x +20 x^{2}+2 \,{\mathrm e}^{\left(x -5\right)^{2}}\right) {\mathrm e}^{-\left(x -5\right)^{2}}}{5}}$&$34$\\ norman&${\mathrm e}^{\frac{\left(\left(4 x +8\right) {\mathrm e}^{x^{2}-10 x +25}+80 x^{2}\right) {\mathrm e}^{-x^{2}+10 x -25}}{5}}$&$36$\\ \hline \end{longtable}"," ",0,"exp(4/5*(exp((x-5)^2)*x+20*x^2+2*exp((x-5)^2))*exp(-(x-5)^2))","A"
7980,1,28,21,0.800000," ","int((-2*ln(x)-2*exp(3)+2)*ln((2*exp(4)*ln(x)+2*exp(3)*exp(4)+x)/(ln(x)+exp(3)))/(2*exp(4)*ln(x)^2+(4*exp(3)*exp(4)+x)*ln(x)+2*exp(3)^2*exp(4)+x*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\frac{2 \,{\mathrm e}^{4} \ln \left(x \right)+2 \,{\mathrm e}^{3} {\mathrm e}^{4}+x}{\ln \left(x \right)+{\mathrm e}^{3}}\right)^{2}$&$28$\\ risch&$-\ln \left({\mathrm e}^{4} \left(\ln \left(x \right)+{\mathrm e}^{3}\right)+\frac{x}{2}\right)^{2}+2 \ln \left(\ln \left(x \right)+{\mathrm e}^{3}\right) \ln \left({\mathrm e}^{4} \left(\ln \left(x \right)+{\mathrm e}^{3}\right)+\frac{x}{2}\right)-\ln \left(\ln \left(x \right)+{\mathrm e}^{3}\right)^{2}-i \pi  \ln \left(\ln \left(x \right)+\frac{\left(2 \,{\mathrm e}^{7}+x \right) {\mathrm e}^{-4}}{2}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+{\mathrm e}^{3}}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4} \left(\ln \left(x \right)+{\mathrm e}^{3}\right)+\frac{x}{2}\right)}{\ln \left(x \right)+{\mathrm e}^{3}}\right)^{2}-i \pi  \ln \left(\ln \left(x \right)+{\mathrm e}^{3}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{4} \left(\ln \left(x \right)+{\mathrm e}^{3}\right)+\frac{x}{2}\right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+{\mathrm e}^{3}}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4} \left(\ln \left(x \right)+{\mathrm e}^{3}\right)+\frac{x}{2}\right)}{\ln \left(x \right)+{\mathrm e}^{3}}\right)-i \pi  \ln \left(\ln \left(x \right)+{\mathrm e}^{3}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4} \left(\ln \left(x \right)+{\mathrm e}^{3}\right)+\frac{x}{2}\right)}{\ln \left(x \right)+{\mathrm e}^{3}}\right)^{3}-i \pi  \ln \left(\ln \left(x \right)+\frac{\left(2 \,{\mathrm e}^{7}+x \right) {\mathrm e}^{-4}}{2}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{4} \left(\ln \left(x \right)+{\mathrm e}^{3}\right)+\frac{x}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4} \left(\ln \left(x \right)+{\mathrm e}^{3}\right)+\frac{x}{2}\right)}{\ln \left(x \right)+{\mathrm e}^{3}}\right)^{2}+i \pi  \ln \left(\ln \left(x \right)+{\mathrm e}^{3}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{4} \left(\ln \left(x \right)+{\mathrm e}^{3}\right)+\frac{x}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4} \left(\ln \left(x \right)+{\mathrm e}^{3}\right)+\frac{x}{2}\right)}{\ln \left(x \right)+{\mathrm e}^{3}}\right)^{2}+i \pi  \ln \left(\ln \left(x \right)+{\mathrm e}^{3}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+{\mathrm e}^{3}}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4} \left(\ln \left(x \right)+{\mathrm e}^{3}\right)+\frac{x}{2}\right)}{\ln \left(x \right)+{\mathrm e}^{3}}\right)^{2}+i \pi  \ln \left(\ln \left(x \right)+\frac{\left(2 \,{\mathrm e}^{7}+x \right) {\mathrm e}^{-4}}{2}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4} \left(\ln \left(x \right)+{\mathrm e}^{3}\right)+\frac{x}{2}\right)}{\ln \left(x \right)+{\mathrm e}^{3}}\right)^{3}+i \pi  \ln \left(\ln \left(x \right)+\frac{\left(2 \,{\mathrm e}^{7}+x \right) {\mathrm e}^{-4}}{2}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{4} \left(\ln \left(x \right)+{\mathrm e}^{3}\right)+\frac{x}{2}\right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+{\mathrm e}^{3}}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{4} \left(\ln \left(x \right)+{\mathrm e}^{3}\right)+\frac{x}{2}\right)}{\ln \left(x \right)+{\mathrm e}^{3}}\right)+2 \ln \left(2\right) \ln \left(\ln \left(x \right)+{\mathrm e}^{3}\right)-2 \ln \left(2\right) \ln \left(\ln \left(x \right)+\frac{\left(2 \,{\mathrm e}^{7}+x \right) {\mathrm e}^{-4}}{2}\right)$&$494$\\ \hline \end{longtable}"," ",0,"-ln((2*exp(4)*ln(x)+2*exp(3)*exp(4)+x)/(ln(x)+exp(3)))^2","A"
7981,1,48,29,0.440000," ","int((-131072*x^4*exp(5)^4+1310720*x^3*exp(5)^3+(-4917504*x^2-7680*x)*exp(5)^2+(8199680*x+19200)*exp(5)-5124800)/((65536*x^6+393216*x^5+589824*x^4)*exp(5)^4+(-655360*x^5-3932160*x^4-5898240*x^3)*exp(5)^3+(2457600*x^4+14744064*x^3+22113792*x^2)*exp(5)^2+(-4096000*x^3-24568320*x^2-36840960*x)*exp(5)+2560000*x^2+15350400*x+23011209),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{2} {\mathrm e}^{10}-10 x \,{\mathrm e}^{5}+\frac{3203}{256}}{x^{3} {\mathrm e}^{10}+3 x^{2} {\mathrm e}^{10}-5 x^{2} {\mathrm e}^{5}-15 x \,{\mathrm e}^{5}+\frac{25 x}{4}+\frac{4797}{256}}$&$48$\\ gosper&$\frac{512 x^{2} {\mathrm e}^{10}-2560 x \,{\mathrm e}^{5}+3203}{256 x^{3} {\mathrm e}^{10}+768 x^{2} {\mathrm e}^{10}-1280 x^{2} {\mathrm e}^{5}-3840 x \,{\mathrm e}^{5}+1600 x +4797}$&$55$\\ norman&$\frac{-\frac{819968 x^{3} {\mathrm e}^{10}}{4797}+\left(-\frac{5124800}{4797}+\frac{6400 \,{\mathrm e}^{5}}{1599}\right) x +\left(-\frac{1280 \,{\mathrm e}^{10}}{1599}+\frac{4099840 \,{\mathrm e}^{5}}{4797}\right) x^{2}}{256 x^{3} {\mathrm e}^{10}+768 x^{2} {\mathrm e}^{10}-1280 x^{2} {\mathrm e}^{5}-3840 x \,{\mathrm e}^{5}+1600 x +4797}$&$72$\\ default&$-\frac{\left(\munderset{\textit{\_R} =\RootOf \left(23011209+65536 \,{\mathrm e}^{20} \textit{\_Z}^{6}-\left(-393216 \,{\mathrm e}^{20}+655360 \,{\mathrm e}^{15}\right) \textit{\_Z}^{5}-\left(-589824 \,{\mathrm e}^{20}+3932160 \,{\mathrm e}^{15}-2457600 \,{\mathrm e}^{10}\right) \textit{\_Z}^{4}-\left(4096000 \,{\mathrm e}^{5}+5898240 \,{\mathrm e}^{15}-14744064 \,{\mathrm e}^{10}\right) \textit{\_Z}^{3}-\left(24568320 \,{\mathrm e}^{5}-22113792 \,{\mathrm e}^{10}-2560000\right) \textit{\_Z}^{2}-\left(36840960 \,{\mathrm e}^{5}-15350400\right) \textit{\_Z} \right)}{\sum}\frac{\left(-80075-2048 \,{\mathrm e}^{20} \textit{\_R}^{4}+20480 \textit{\_R}^{3} {\mathrm e}^{15}-76836 \textit{\_R}^{2} {\mathrm e}^{10}+40 \left(3203 \,{\mathrm e}^{5}-3 \,{\mathrm e}^{10}\right) \textit{\_R} +300 \,{\mathrm e}^{5}\right) \ln \left(x -\textit{\_R} \right)}{-119925-3072 \textit{\_R}^{5} {\mathrm e}^{20}-15360 \,{\mathrm e}^{20} \textit{\_R}^{4}+25600 \textit{\_R}^{4} {\mathrm e}^{15}-18432 \,{\mathrm e}^{20} \textit{\_R}^{3}+122880 \textit{\_R}^{3} {\mathrm e}^{15}-76800 \textit{\_R}^{3} {\mathrm e}^{10}+96000 \textit{\_R}^{2} {\mathrm e}^{5}+138240 \textit{\_R}^{2} {\mathrm e}^{15}-345564 \textit{\_R}^{2} {\mathrm e}^{10}+383880 \textit{\_R} \,{\mathrm e}^{5}-345528 \textit{\_R} \,{\mathrm e}^{10}+287820 \,{\mathrm e}^{5}-40000 \textit{\_R}}\right)}{2}$&$220$\\ \hline \end{longtable}"," ",0,"(2*x^2*exp(10)-10*x*exp(5)+3203/256)/(x^3*exp(10)+3*x^2*exp(10)-5*x^2*exp(5)-15*x*exp(5)+25/4*x+4797/256)","A"
7982,1,15,16,0.119000," ","int(((65536*x^4+8192*x^2)*exp(4*x^2)^2+1)*exp(4096*x^2*exp(4*x^2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{4096 x^{2} {\mathrm e}^{8 x^{2}}} x$&$15$\\ norman&${\mathrm e}^{4096 x^{2} {\mathrm e}^{8 x^{2}}} x$&$17$\\ \hline \end{longtable}"," ",0,"exp(4096*x^2*exp(8*x^2))*x","A"
7983,1,11,10,0.024000," ","int((x*ln(x)+7)/(x*ln(x)^2+2*x*ln(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x -7}{\ln \left(x \right)+1}$&$11$\\ risch&$\frac{x -7}{\ln \left(x \right)+1}$&$11$\\ \hline \end{longtable}"," ",0,"(x-7)/(ln(x)+1)","A"
7984,1,60,25,0.388000," ","int(((ln(3)-3)*ln(x)+(ln(3)^2+(-2*x-6)*ln(3)+x^2+6*x+9)*exp(x)+(2*x-1)*ln(3)^2+(-4*x^2-10*x+7)*ln(3)+2*x^3+11*x^2+11*x-12)*exp((x*ln(x)+(ln(3)-3-x)*exp(x)+(x^2-x+29)*ln(3)-x^3-2*x^2-26*x-87)/(ln(3)-3-x))/(ln(3)^2+(-2*x-6)*ln(3)+x^2+6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{2} \ln \left(3\right)-x^{3}+x \ln \left(x \right)+\ln \left(3\right) {\mathrm e}^{x}-{\mathrm e}^{x} x -x \ln \left(3\right)-2 x^{2}-3 \,{\mathrm e}^{x}+29 \ln \left(3\right)-26 x -87}{\ln \left(3\right)-3-x}}$&$60$\\ \hline \end{longtable}"," ",0,"exp((x^2*ln(3)-x^3+x*ln(x)+ln(3)*exp(x)-exp(x)*x-x*ln(3)-2*x^2-3*exp(x)+29*ln(3)-26*x-87)/(ln(3)-3-x))","B"
7985,1,9,20,0.015000," ","int((2*x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -\ln \left(x \right)$&$9$\\ norman&$2 x -\ln \left(x \right)$&$9$\\ risch&$2 x -\ln \left(x \right)$&$9$\\ \hline \end{longtable}"," ",0,"2*x-ln(x)","A"
7986,1,51,23,0.046000," ","int(1/80*((5*x^4+8*x^3)*ln(2)^2+(-16*x^3-24*x^2)*ln(2)+12*x^2+16*x)*ln(x)+1/80*(x^4+2*x^3)*ln(2)^2+1/80*(-4*x^3-8*x^2)*ln(2)+1/20*x^2+1/10*x+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{5} \ln \left(2\right)^{2}+2 x^{4} \ln \left(2\right)^{2}-4 x^{4} \ln \left(2\right)-8 x^{3} \ln \left(2\right)+4 x^{3}+8 x^{2}\right) \ln \left(x \right)}{80}+3 x$&$51$\\ norman&$\left(\frac{\ln \left(2\right)^{2}}{40}-\frac{\ln \left(2\right)}{20}\right) x^{4} \ln \left(x \right)+\left(-\frac{\ln \left(2\right)}{10}+\frac{1}{20}\right) x^{3} \ln \left(x \right)+3 x +\frac{x^{2} \ln \left(x \right)}{10}+\frac{\ln \left(2\right)^{2} x^{5} \ln \left(x \right)}{80}$&$52$\\ default&$3 x +\frac{\ln \left(2\right)^{2} x^{5} \ln \left(x \right)}{80}+\frac{x^{4} \ln \left(2\right)^{2} \ln \left(x \right)}{40}-\frac{\ln \left(2\right) \ln \left(x \right) x^{4}}{20}-\frac{\ln \left(x \right) \ln \left(2\right) x^{3}}{10}+\frac{x^{3} \ln \left(x \right)}{20}+\frac{x^{2} \ln \left(x \right)}{10}$&$59$\\ \hline \end{longtable}"," ",0,"1/80*(x^5*ln(2)^2+2*x^4*ln(2)^2-4*x^4*ln(2)-8*x^3*ln(2)+4*x^3+8*x^2)*ln(x)+3*x","B"
7987,1,16,17,0.291000," ","int(((2*x^3-x)*exp(x)-2*x^2-1)/(2*x^3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-\ln \left(2 x^{2}-1\right)+{\mathrm e}^{x}$&$16$\\ norman&$\ln \left(x \right)-\ln \left(2 x^{2}-1\right)+{\mathrm e}^{x}$&$16$\\ risch&$\ln \left(x \right)-\ln \left(2 x^{2}-1\right)+{\mathrm e}^{x}$&$16$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(2*x^2-1)+exp(x)","A"
7988,1,260,25,0.189000," ","int((((x^2+x)*ln(x)+(x^2+x)*exp(x))*ln((x^2+x)/(ln(x)+exp(x)))+((-3*x^2-3*x)*exp(x)^2+x^3+2*x^2+3*x+1)*ln(x)+(-3*x^2-3*x)*exp(x)^3+(x^3+x^2+2*x+1)*exp(x)-x-1)/(((x^2+x)*ln(x)+(x^2+x)*exp(x))*ln((x^2+x)/(ln(x)+exp(x)))+((-x^2-x)*exp(x)^2+x^3+x^2)*ln(x)+(-x^2-x)*exp(x)^3+(x^3+x^2)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(\ln \left(\ln \left(x \right)+{\mathrm e}^{x}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+{\mathrm e}^{x}}\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)}{\ln \left(x \right)+{\mathrm e}^{x}}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)+{\mathrm e}^{x}}\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)}{\ln \left(x \right)+{\mathrm e}^{x}}\right) \mathrm{csgn}\left(i \left(x +1\right)\right)-\pi  \mathrm{csgn}\left(\frac{i \left(x +1\right)}{\ln \left(x \right)+{\mathrm e}^{x}}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \left(x +1\right)}{\ln \left(x \right)+{\mathrm e}^{x}}\right)^{2} \mathrm{csgn}\left(i \left(x +1\right)\right)+\pi  \,\mathrm{csgn}\left(\frac{i \left(x +1\right)}{\ln \left(x \right)+{\mathrm e}^{x}}\right) \mathrm{csgn}\left(\frac{i x \left(x +1\right)}{\ln \left(x \right)+{\mathrm e}^{x}}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i \left(x +1\right)}{\ln \left(x \right)+{\mathrm e}^{x}}\right) \mathrm{csgn}\left(\frac{i x \left(x +1\right)}{\ln \left(x \right)+{\mathrm e}^{x}}\right) \mathrm{csgn}\left(i x \right)-\pi  \mathrm{csgn}\left(\frac{i x \left(x +1\right)}{\ln \left(x \right)+{\mathrm e}^{x}}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i x \left(x +1\right)}{\ln \left(x \right)+{\mathrm e}^{x}}\right)^{2} \mathrm{csgn}\left(i x \right)+2 i {\mathrm e}^{2 x}-2 i x -2 i \ln \left(x \right)-2 i \ln \left(x +1\right)\right)}{2}\right)$&$260$\\ \hline \end{longtable}"," ",0,"x+ln(ln(ln(x)+exp(x))-1/2*I*(Pi*csgn(I/(ln(x)+exp(x)))*csgn(I*(x+1)/(ln(x)+exp(x)))^2-Pi*csgn(I/(ln(x)+exp(x)))*csgn(I*(x+1)/(ln(x)+exp(x)))*csgn(I*(x+1))-Pi*csgn(I*(x+1)/(ln(x)+exp(x)))^3+Pi*csgn(I*(x+1)/(ln(x)+exp(x)))^2*csgn(I*(x+1))+Pi*csgn(I*(x+1)/(ln(x)+exp(x)))*csgn(I*x/(ln(x)+exp(x))*(x+1))^2-Pi*csgn(I*(x+1)/(ln(x)+exp(x)))*csgn(I*x/(ln(x)+exp(x))*(x+1))*csgn(I*x)-Pi*csgn(I*x/(ln(x)+exp(x))*(x+1))^3+Pi*csgn(I*x/(ln(x)+exp(x))*(x+1))^2*csgn(I*x)+2*I*exp(2*x)-2*I*x-2*I*ln(x)-2*I*ln(x+1)))","C"
7989,1,24,24,0.062000," ","int(((3*exp(x)^2*x^4+18*exp(x)*x^4+27*x^4)*ln(x)*ln(ln(x))^2+((6*x^5+384*x^4)*exp(x)^2+(36*x^5+2304*x^4-5*x-5)*exp(x)+54*x^5+3456*x^4-15)*ln(x)*ln(ln(x))+((3*x^6+384*x^5+12288*x^4)*exp(x)^2+(18*x^6+2304*x^5+73728*x^4-5*x^2-330*x-320)*exp(x)+27*x^6+3456*x^5+110592*x^4-30*x-960)*ln(x)-5*exp(x)-15)/((exp(x)^2*x^2+6*exp(x)*x^2+9*x^2)*ln(x)*ln(ln(x))^2+((2*x^3+128*x^2)*exp(x)^2+(12*x^3+768*x^2)*exp(x)+18*x^3+1152*x^2)*ln(x)*ln(ln(x))+((x^4+128*x^3+4096*x^2)*exp(x)^2+(6*x^4+768*x^3+24576*x^2)*exp(x)+9*x^4+1152*x^3+36864*x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+\frac{5}{x \left(\ln \left(\ln \left(x \right)\right)+64+x \right) \left(3+{\mathrm e}^{x}\right)}$&$24$\\ \hline \end{longtable}"," ",0,"x^3+5/x/(ln(ln(x))+64+x)/(3+exp(x))","A"
7990,1,16,18,0.029000," ","int(((-2*x-1)*ln(3)-2*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x \ln \left(3\right)-2 x -\ln \left(3\right) \ln \left(x \right)$&$16$\\ norman&$\left(-2 \ln \left(3\right)-2\right) x -\ln \left(3\right) \ln \left(x \right)$&$16$\\ risch&$-2 x \ln \left(3\right)-2 x -\ln \left(3\right) \ln \left(x \right)$&$16$\\ \hline \end{longtable}"," ",0,"-2*x*ln(3)-2*x-ln(3)*ln(x)","A"
7991,1,27,23,0.037000," ","int(((840*x^2-27)*ln(x)^2+(1680*x^3+420*x^2-54*x)*ln(x)+840*x^4-456*x^2-9*x)/(x^2*ln(x)^2+2*x^3*ln(x)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{840 x^{2}+27}{x}+\frac{420 x +9}{x +\ln \left(x \right)}$&$27$\\ norman&$\frac{-420 x \ln \left(x \right)+840 x^{2} \ln \left(x \right)+36 x +840 x^{3}+27 \ln \left(x \right)}{\left(x +\ln \left(x \right)\right) x}$&$36$\\ \hline \end{longtable}"," ",0,"3*(280*x^2+9)/x+3*(140*x+3)/(x+ln(x))","A"
7992,1,25,29,0.231000," ","int((4*(48*x^4+288*x^3+432*x^2-64*x-96)*ln(2)^2+2*(24*x^3+72*x^2-8)*ln(2)+3*x^2)*exp(16*ln(2)/(2*(4*x^2+12*x)*ln(2)+x))*exp(3*x)/(4*(16*x^4+96*x^3+144*x^2)*ln(2)^2+2*(8*x^3+24*x^2)*ln(2)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{3 x} 65536^{\frac{1}{x \left(8 x \ln \left(2\right)+24 \ln \left(2\right)+1\right)}}$&$25$\\ gosper&${\mathrm e}^{\frac{16 \ln \left(2\right)}{x \left(8 x \ln \left(2\right)+24 \ln \left(2\right)+1\right)}+3 x}$&$26$\\ norman&$\frac{\left(24 \ln \left(2\right)+1\right) x \,{\mathrm e}^{3 x} {\mathrm e}^{\frac{16 \ln \left(2\right)}{2 \left(4 x^{2}+12 x \right) \ln \left(2\right)+x}}+8 x^{2} \ln \left(2\right) {\mathrm e}^{3 x} {\mathrm e}^{\frac{16 \ln \left(2\right)}{2 \left(4 x^{2}+12 x \right) \ln \left(2\right)+x}}}{x \left(8 x \ln \left(2\right)+24 \ln \left(2\right)+1\right)}$&$86$\\ \hline \end{longtable}"," ",0,"exp(3*x)*65536^(1/x/(8*x*ln(2)+24*ln(2)+1))","A"
7993,1,23,20,0.096000," ","int(((-3*x^3+x^2-3*x-1)*exp(15-3*x)+2*x^3+x^2+x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+x^{2}+x +\frac{\left(x^{2}+1\right) {\mathrm e}^{15-3 x}}{x}$&$23$\\ norman&$\frac{x^{2}+x^{3}+{\mathrm e}^{15-3 x} x^{2}+{\mathrm e}^{15-3 x}}{x}+\ln \left(x \right)$&$31$\\ derivativedivides&$\ln \left(-3 x \right)-55+11 x +\frac{\left(15-3 x \right)^{2}}{9}+\frac{{\mathrm e}^{15-3 x}}{x}+5 \,{\mathrm e}^{15-3 x}-\frac{{\mathrm e}^{15-3 x} \left(15-3 x \right)}{3}$&$50$\\ default&$\ln \left(-3 x \right)-55+11 x +\frac{\left(15-3 x \right)^{2}}{9}+\frac{{\mathrm e}^{15-3 x}}{x}+5 \,{\mathrm e}^{15-3 x}-\frac{{\mathrm e}^{15-3 x} \left(15-3 x \right)}{3}$&$50$\\ \hline \end{longtable}"," ",0,"ln(x)+x^2+x+(x^2+1)/x*exp(15-3*x)","A"
7994,1,16,17,0.066000," ","int(1/2*(4*exp(x)*x+27*x^4-729*x^3+675*x^2)/exp(x)/exp(1/2*(27*x^2-675*x)/exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{-\frac{27 x \left(x -25\right) {\mathrm e}^{-x}}{2}}$&$16$\\ norman&$x^{2} {\mathrm e}^{-\frac{\left(27 x^{2}-675 x \right) {\mathrm e}^{-x}}{2}}$&$23$\\ \hline \end{longtable}"," ",0,"x^2*exp(-27/2*x*(x-25)*exp(-x))","A"
7995,1,21,14,0.030000," ","int(1/4*(-exp(25)^2*ln(48)-2*x*exp(25)^2+4)/exp(25)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(2\right)-\frac{x \ln \left(3\right)}{4}-\frac{x^{2}}{4}+x \,{\mathrm e}^{-50}$&$21$\\ gosper&$-\frac{x \left({\mathrm e}^{50} \ln \left(48\right)+x \,{\mathrm e}^{50}-4\right) {\mathrm e}^{-50}}{4}$&$23$\\ default&$\frac{{\mathrm e}^{-50} \left(-{\mathrm e}^{50} \ln \left(48\right) x -x^{2} {\mathrm e}^{50}+4 x \right)}{4}$&$29$\\ norman&$\left(-\frac{x^{2} {\mathrm e}^{25}}{4}-\frac{{\mathrm e}^{-25} \left({\mathrm e}^{50} \ln \left(48\right)-4\right) x}{4}\right) {\mathrm e}^{-25}$&$30$\\ \hline \end{longtable}"," ",0,"-x*ln(2)-1/4*x*ln(3)-1/4*x^2+x*exp(-50)","A"
7996,1,5,6,0.019000," ","int((x+1)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{x} x$&$5$\\ default&${\mathrm e}^{x} x$&$5$\\ norman&${\mathrm e}^{x} x$&$5$\\ risch&${\mathrm e}^{x} x$&$5$\\ meijerg&$-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}+{\mathrm e}^{x}$&$13$\\ \hline \end{longtable}"," ",0,"exp(x)*x","A"
7997,1,40,30,0.114000," ","int(((-4*x^3+10)*exp((x^3+x+5)/x)^2+(-20*x^4-10*x^2+50*x)*exp((x^3+x+5)/x)-48*x^3+x^2)/(x^2*exp((x^3+x+5)/x)^2+10*x^3*exp((x^3+x+5)/x)+24*x^4-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left({\mathrm e}^{\frac{2 x^{3}+2 x +10}{x}}+10 x \,{\mathrm e}^{\frac{x^{3}+x +5}{x}}+24 x^{2}-x \right)$&$40$\\ risch&$-2 x^{2}-\frac{10}{x}+\frac{2 x^{3}+2 x +10}{x}-\ln \left({\mathrm e}^{\frac{2 x^{3}+2 x +10}{x}}+10 x \,{\mathrm e}^{\frac{x^{3}+x +5}{x}}+24 x^{2}-x \right)$&$61$\\ \hline \end{longtable}"," ",0,"-ln(exp((x^3+x+5)/x)^2+10*x*exp((x^3+x+5)/x)+24*x^2-x)","A"
7998,1,260,25,1.938000," ","int((((4*x^5+12*x^4+12*x^3+3*x^2+x)*exp(x)^5+(20*x^6+64*x^5+60*x^4+3*x^3-3*x^2)*exp(x)^4+(40*x^7+132*x^6+112*x^5-30*x^4-26*x^3+4*x^2)*exp(x)^3+(40*x^8+132*x^7+96*x^6-66*x^5-38*x^4+12*x^3-4*x^2)*exp(x)^2+(20*x^9+64*x^8+36*x^7-45*x^6-15*x^5-8*x^3+8*x^2)*exp(x)+4*x^10+12*x^9+4*x^8-9*x^7+x^6-8*x^5-4*x^4+12*x^3-4*x^2)*exp(((x^4+4*x^3+6*x^2+3*x+1)*exp(x)^4+(4*x^5+16*x^4+20*x^3-8*x-4)*exp(x)^3+(6*x^6+24*x^5+24*x^4-18*x^3-24*x^2+6)*exp(x)^2+(4*x^7+16*x^6+12*x^5-24*x^4-20*x^3+12*x^2+8*x-4)*exp(x)+x^8+4*x^7+2*x^6-9*x^5-5*x^4+8*x^3+2*x^2-4*x+1)/(exp(x)^4+4*x*exp(x)^3+6*exp(x)^2*x^2+4*exp(x)*x^3+x^4))-exp(x)^5-5*x*exp(x)^4-10*x^2*exp(x)^3-10*exp(x)^2*x^3-5*exp(x)*x^4-x^5)/(x*exp(x)^5+5*x^2*exp(x)^4+10*x^3*exp(x)^3+10*exp(x)^2*x^4+5*x^5*exp(x)+x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+x \,{\mathrm e}^{\frac{1-4 x +20 x^{3} {\mathrm e}^{3 x}+{\mathrm e}^{4 x}+4 x^{7} {\mathrm e}^{x}+12 x^{5} {\mathrm e}^{x}-4 \,{\mathrm e}^{3 x}+6 \,{\mathrm e}^{2 x}+4 x^{7}+x^{8}+2 x^{6}-9 x^{5}-5 x^{4}+8 x^{3}+2 x^{2}-4 \,{\mathrm e}^{x}-18 \,{\mathrm e}^{2 x} x^{3}+4 x^{3} {\mathrm e}^{4 x}+24 x^{5} {\mathrm e}^{2 x}-8 x \,{\mathrm e}^{3 x}-24 \,{\mathrm e}^{2 x} x^{2}+16 x^{6} {\mathrm e}^{x}-24 \,{\mathrm e}^{x} x^{4}+12 \,{\mathrm e}^{x} x^{2}-20 \,{\mathrm e}^{x} x^{3}+8 \,{\mathrm e}^{x} x +3 x \,{\mathrm e}^{4 x}+6 x^{2} {\mathrm e}^{4 x}+24 \,{\mathrm e}^{2 x} x^{4}+16 \,{\mathrm e}^{3 x} x^{4}+6 \,{\mathrm e}^{2 x} x^{6}+4 \,{\mathrm e}^{3 x} x^{5}+{\mathrm e}^{4 x} x^{4}}{{\mathrm e}^{4 x}+4 x \,{\mathrm e}^{3 x}+6 \,{\mathrm e}^{2 x} x^{2}+4 \,{\mathrm e}^{x} x^{3}+x^{4}}}$&$260$\\ \hline \end{longtable}"," ",0,"-ln(x)+x*exp((1-4*x+20*x^3*exp(3*x)+exp(4*x)+4*x^7*exp(x)+12*x^5*exp(x)-4*exp(3*x)+6*exp(2*x)+4*x^7+x^8+2*x^6-9*x^5-5*x^4+8*x^3+2*x^2-4*exp(x)-18*exp(2*x)*x^3+4*x^3*exp(4*x)+24*x^5*exp(2*x)-8*x*exp(3*x)-24*exp(2*x)*x^2+16*x^6*exp(x)-24*exp(x)*x^4+12*exp(x)*x^2-20*exp(x)*x^3+8*exp(x)*x+3*x*exp(4*x)+6*x^2*exp(4*x)+24*exp(2*x)*x^4+16*exp(3*x)*x^4+6*exp(2*x)*x^6+4*exp(3*x)*x^5+exp(4*x)*x^4)/(exp(4*x)+4*x*exp(3*x)+6*exp(2*x)*x^2+4*exp(x)*x^3+x^4))","B"
7999,1,187,28,0.468000," ","int((((3*x-1)*ln(x^2*exp(x)/(6*x-2))-9*x+3)*ln(ln(x^2*exp(x)/(6*x-2))-3)+(-3*x+1)*ln(x^2*exp(x)/(6*x-2))+3*x^2+11*x-5)/((3*x-1)*ln(x^2*exp(x)/(6*x-2))-9*x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-\ln \left(2\right)-\ln \left(3\right)+2 \ln \left(x \right)+\ln \left({\mathrm e}^{x}\right)-\ln \left(x -\frac{1}{3}\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x -\frac{1}{3}}\right) \left(-\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x -\frac{1}{3}}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x -\frac{1}{3}}\right)+\mathrm{csgn}\left(\frac{i}{x -\frac{1}{3}}\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i x^{2} {\mathrm e}^{x}}{x -\frac{1}{3}}\right) \left(-\mathrm{csgn}\left(\frac{i x^{2} {\mathrm e}^{x}}{x -\frac{1}{3}}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(\frac{i x^{2} {\mathrm e}^{x}}{x -\frac{1}{3}}\right)+\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x -\frac{1}{3}}\right)\right)}{2}-3\right) x -x$&$187$\\ \hline \end{longtable}"," ",0,"ln(-ln(2)-ln(3)+2*ln(x)+ln(exp(x))-ln(x-1/3)-1/2*I*Pi*csgn(I*exp(x)/(x-1/3))*(-csgn(I*exp(x)/(x-1/3))+csgn(I*exp(x)))*(-csgn(I*exp(x)/(x-1/3))+csgn(I/(x-1/3)))-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^2/(x-1/3)*exp(x))*(-csgn(I*x^2/(x-1/3)*exp(x))+csgn(I*x^2))*(-csgn(I*x^2/(x-1/3)*exp(x))+csgn(I*exp(x)/(x-1/3)))-3)*x-x","C"
8000,0,0,20,0.023000," ","int(((-3*x+3)*ln(3/x)-3)/(x*ln(3/x)*ln(9*x*ln(3/x))^2-2*x^2*ln(3/x)*ln(9*x*ln(3/x))+x^3*ln(3/x)),x)","\[\int \frac{\left(-3 x +3\right) \ln \left(\frac{3}{x}\right)-3}{x \ln \left(\frac{3}{x}\right) \ln \left(9 x \ln \left(\frac{3}{x}\right)\right)^{2}-2 x^{2} \ln \left(\frac{3}{x}\right) \ln \left(9 x \ln \left(\frac{3}{x}\right)\right)+x^{3} \ln \left(\frac{3}{x}\right)}\, dx\]"," ",0,"int(((-3*x+3)*ln(3/x)-3)/(x*ln(3/x)*ln(9*x*ln(3/x))^2-2*x^2*ln(3/x)*ln(9*x*ln(3/x))+x^3*ln(3/x)),x)","F"
8001,1,24,17,0.015000," ","int(-exp(x)+64*x^3-72*x^2+178*x-60,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$16 x^{4}-24 x^{3}+89 x^{2}-60 x -{\mathrm e}^{x}$&$24$\\ norman&$16 x^{4}-24 x^{3}+89 x^{2}-60 x -{\mathrm e}^{x}$&$24$\\ risch&$16 x^{4}-24 x^{3}+89 x^{2}-60 x -{\mathrm e}^{x}$&$24$\\ \hline \end{longtable}"," ",0,"16*x^4-24*x^3+89*x^2-60*x-exp(x)","A"
8002,0,0,31,0.403000," ","int((((6*x^6-16*x^5-42*x^4+56*x^3+36*x^2-40*x)*exp(x)+18*x^4-20*x^3-156*x^2+192*x-40)*ln((-3*x^4+17*x^3-24*x^2+10*x)/(2+x))+(6*x^7-16*x^6-42*x^5+56*x^4+36*x^3-40*x^2)*exp(x)^2+(18*x^5-20*x^4-156*x^3+192*x^2-40*x)*exp(x))/(3*x^5-11*x^4-10*x^3+38*x^2-20*x),x)","\[\int \frac{\left(\left(6 x^{6}-16 x^{5}-42 x^{4}+56 x^{3}+36 x^{2}-40 x \right) {\mathrm e}^{x}+18 x^{4}-20 x^{3}-156 x^{2}+192 x -40\right) \ln \left(\frac{-3 x^{4}+17 x^{3}-24 x^{2}+10 x}{2+x}\right)+\left(6 x^{7}-16 x^{6}-42 x^{5}+56 x^{4}+36 x^{3}-40 x^{2}\right) {\mathrm e}^{2 x}+\left(18 x^{5}-20 x^{4}-156 x^{3}+192 x^{2}-40 x \right) {\mathrm e}^{x}}{3 x^{5}-11 x^{4}-10 x^{3}+38 x^{2}-20 x}\, dx\]"," ",0,"int((((6*x^6-16*x^5-42*x^4+56*x^3+36*x^2-40*x)*exp(x)+18*x^4-20*x^3-156*x^2+192*x-40)*ln((-3*x^4+17*x^3-24*x^2+10*x)/(2+x))+(6*x^7-16*x^6-42*x^5+56*x^4+36*x^3-40*x^2)*exp(x)^2+(18*x^5-20*x^4-156*x^3+192*x^2-40*x)*exp(x))/(3*x^5-11*x^4-10*x^3+38*x^2-20*x),x)","F"
8003,1,26,24,0.067000," ","int((2*x*exp(3)*exp(-x^2+2)+exp(3))/(exp(3)*exp(-x^2+2)+(-x-2)*exp(3)-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \,{\mathrm e}^{3}-{\mathrm e}^{3} {\mathrm e}^{-x^{2}+2}+2 \,{\mathrm e}^{3}+3\right)$&$26$\\ risch&$2-\ln \left({\mathrm e}^{-x^{2}+2}-\left(x \,{\mathrm e}^{3}+2 \,{\mathrm e}^{3}+3\right) {\mathrm e}^{-3}\right)$&$29$\\ \hline \end{longtable}"," ",0,"-ln(x*exp(3)-exp(3)*exp(-x^2+2)+2*exp(3)+3)","A"
8004,1,16,17,0.026000," ","int(((-15*x*exp(2+x)+3*x)*ln(x)+15*exp(2+x)-3*x+51)/(400*x*exp(2+x)^2+(-160*x^2+2720*x)*exp(2+x)+16*x^3-544*x^2+4624*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 \ln \left(x \right)}{16 \left(x -5 \,{\mathrm e}^{2+x}-17\right)}$&$16$\\ \hline \end{longtable}"," ",0,"-3/16/(x-5*exp(2+x)-17)*ln(x)","A"
8005,1,15,16,0.286000," ","int((-25*exp(2)+x^2)/(25*exp(2)*x+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)+\ln \left(x^{2}+25 \,{\mathrm e}^{2}\right)$&$15$\\ norman&$-\ln \left(x \right)+\ln \left(x^{2}+25 \,{\mathrm e}^{2}\right)$&$15$\\ risch&$-\ln \left(x \right)+\ln \left(x^{2}+25 \,{\mathrm e}^{2}\right)$&$15$\\ meijerg&$-\ln \left(x \right)+\ln \left(5\right)+1+\ln \left(1+\frac{{\mathrm e}^{-2} x^{2}}{25}\right)$&$19$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(x^2+25*exp(2))","A"
8006,1,25,25,0.144000," ","int((((-2*x*ln(5)+4*x)*ln(ln(2))-2*x^3*ln(5)+4*x^3)*ln(ln(ln(2))+x^2)+(2*x^2*ln(5)-4*x^2-1)*ln(ln(2))+2*x^4*ln(5)-4*x^4-x^2+2*x)/((ln(ln(2))+x^2)*ln(ln(ln(2))+x^2)-x*ln(ln(2))-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(2-\ln \left(5\right)\right) x^{2}+\ln \left(-\ln \left(\ln \left(\ln \left(2\right)\right)+x^{2}\right)+x \right)$&$25$\\ default&$2 x^{2}+\ln \left(-\ln \left(\ln \left(\ln \left(2\right)\right)+x^{2}\right)+x \right)-x^{2} \ln \left(5\right)$&$27$\\ risch&$-x^{2} \ln \left(5\right)+2 x^{2}+\ln \left(-x +\ln \left(\ln \left(\ln \left(2\right)\right)+x^{2}\right)\right)$&$27$\\ \hline \end{longtable}"," ",0,"(2-ln(5))*x^2+ln(-ln(ln(ln(2))+x^2)+x)","A"
8007,1,21,29,0.034000," ","int(4/9*x*exp(ln(x)+1)^2+400/9*x^6*exp(ln(x)+1)+2500/3*x^11,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{625 x^{12}}{9}+\frac{x^{4} {\mathrm e}^{2}}{9}+\frac{50 x^{8} {\mathrm e}}{9}$&$21$\\ risch&$\frac{625 x^{12}}{9}+\frac{x^{4} {\mathrm e}^{2}}{9}+\frac{50 x^{8} {\mathrm e}}{9}$&$21$\\ norman&$\frac{625 x^{12}}{9}+\frac{x^{4} {\mathrm e}^{2}}{9}+\frac{50 x^{8} {\mathrm e}}{9}$&$23$\\ \hline \end{longtable}"," ",0,"625/9*x^12+1/9*x^4*exp(2)+50/9*x^8*exp(1)","A"
8008,1,21,20,0.121000," ","int(1/3*(-3*x*ln(32*x^2)-x*exp(1)-2*x^2+8*x+6)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{{\mathrm e}}{3}+\frac{2 x}{3}-2+\ln \left(32 x^{2}\right)\right) {\mathrm e}^{-x}$&$21$\\ default&$\frac{\left(2 x -6+{\mathrm e}+3 \ln \left(32 x^{2}\right)\right) {\mathrm e}^{-x}}{3}$&$22$\\ risch&$2 \ln \left(x \right) {\mathrm e}^{-x}+\frac{\left(-12-3 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+6 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-3 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 \,{\mathrm e}+30 \ln \left(2\right)+4 x \right) {\mathrm e}^{-x}}{6}$&$78$\\ \hline \end{longtable}"," ",0,"(1/3*exp(1)+2/3*x-2+ln(32*x^2))/exp(x)","A"
8009,1,34,22,0.035000," ","int(((4*x^2+2*x)*exp(2*x)^2*ln(3*x)^3+(12*x^3+118*x^2+56*x)*exp(2*x)^2*ln(3*x)^2+(12*x^4+230*x^3+868*x^2+364*x)*exp(2*x)^2*ln(3*x)+(4*x^5+114*x^4+812*x^3-28*x^2-392*x)*exp(2*x)^2)/(ln(3*x)^3+3*x*ln(3*x)^2+3*x^2*ln(3*x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{4 x}+\frac{28 \left(x +\ln \left(3 x \right)+7\right) x^{2} {\mathrm e}^{4 x}}{\left(x +\ln \left(3 x \right)\right)^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"x^2*exp(4*x)+28*(x+ln(3*x)+7)*x^2*exp(4*x)/(x+ln(3*x))^2","A"
8010,0,0,24,0.018000," ","int((-2*ln(ln(2/(2+x)))+(-64*x^4-320*x^3-576*x^2-447*x-126)*ln(2/(2+x)))/((2+x)*ln(2/(2+x))*ln(ln(2/(2+x)))^2+(-16*x^5-96*x^4-224*x^3-255*x^2-140*x-28)*ln(2/(2+x))),x)","\[\int \frac{-2 \ln \left(\ln \left(\frac{2}{2+x}\right)\right)+\left(-64 x^{4}-320 x^{3}-576 x^{2}-447 x -126\right) \ln \left(\frac{2}{2+x}\right)}{\left(2+x \right) \ln \left(\frac{2}{2+x}\right) \ln \left(\ln \left(\frac{2}{2+x}\right)\right)^{2}+\left(-16 x^{5}-96 x^{4}-224 x^{3}-255 x^{2}-140 x -28\right) \ln \left(\frac{2}{2+x}\right)}\, dx\]"," ",0,"int((-2*ln(ln(2/(2+x)))+(-64*x^4-320*x^3-576*x^2-447*x-126)*ln(2/(2+x)))/((2+x)*ln(2/(2+x))*ln(ln(2/(2+x)))^2+(-16*x^5-96*x^4-224*x^3-255*x^2-140*x-28)*ln(2/(2+x))),x)","F"
8011,1,11,12,0.030000," ","int(1/3*(24*ln(3)+4*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 x}{3}+8 \ln \left(3\right) \ln \left(x \right)$&$11$\\ norman&$\frac{4 x}{3}+8 \ln \left(3\right) \ln \left(x \right)$&$11$\\ risch&$\frac{4 x}{3}+8 \ln \left(3\right) \ln \left(x \right)$&$11$\\ \hline \end{longtable}"," ",0,"4/3*x+8*ln(3)*ln(x)","A"
8012,1,37,29,0.123000," ","int((((x^2-2*x+1)*exp(3)^2+(2*x^3-8*x^2+10*x-4)*exp(3)+x^4-6*x^3+13*x^2-12*x+4)*exp(5)+(-x^2+2*x)*exp(3)+3*x^2-4*x)/((x^2-2*x+1)*exp(3)^2+(2*x^3-8*x^2+10*x-4)*exp(3)+x^4-6*x^3+13*x^2-12*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{5}+\frac{\left({\mathrm e}^{3}-3\right) x -{\mathrm e}^{3}+2}{x \,{\mathrm e}^{3}+x^{2}-{\mathrm e}^{3}-3 x +2}$&$37$\\ norman&$\frac{x^{3} {\mathrm e}^{5}+2+\left(-{\mathrm e}^{5} {\mathrm e}^{6}+5 \,{\mathrm e}^{3} {\mathrm e}^{5}-7 \,{\mathrm e}^{5}+{\mathrm e}^{3}-3\right) x +{\mathrm e}^{5} {\mathrm e}^{6}-5 \,{\mathrm e}^{3} {\mathrm e}^{5}+6 \,{\mathrm e}^{5}-{\mathrm e}^{3}}{\left(x -1\right) \left(x +{\mathrm e}^{3}-2\right)}$&$67$\\ gosper&$-\frac{{\mathrm e}^{5} {\mathrm e}^{6} x -x^{3} {\mathrm e}^{5}-{\mathrm e}^{5} {\mathrm e}^{6}-5 x \,{\mathrm e}^{3} {\mathrm e}^{5}+5 \,{\mathrm e}^{3} {\mathrm e}^{5}+7 x \,{\mathrm e}^{5}-x \,{\mathrm e}^{3}-6 \,{\mathrm e}^{5}+{\mathrm e}^{3}+3 x -2}{x \,{\mathrm e}^{3}+x^{2}-{\mathrm e}^{3}-3 x +2}$&$78$\\ \hline \end{longtable}"," ",0,"x*exp(5)+((exp(3)-3)*x-exp(3)+2)/(x*exp(3)+x^2-exp(3)-3*x+2)","A"
8013,1,24,19,0.046000," ","int(((2*x^2-6)*ln(x)+19*x^2+2*x-57)/(x^5-6*x^4+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-10-10 x -x \ln \left(x \right)-\ln \left(x \right)}{x^{2} \left(x -3\right)}$&$24$\\ risch&$-\frac{\left(x +1\right) \ln \left(x \right)}{x^{2} \left(x -3\right)}-\frac{10 \left(x +1\right)}{x^{2} \left(x -3\right)}$&$30$\\ default&$\frac{10}{3 x^{2}}+\frac{40}{9 x}+\frac{4 \ln \left(x \right)}{27}-\frac{40}{9 \left(x -3\right)}+\frac{4 \ln \left(x \right)}{9 x}+\frac{\ln \left(x \right)}{3 x^{2}}-\frac{4 \ln \left(x \right) x}{27 \left(x -3\right)}$&$47$\\ \hline \end{longtable}"," ",0,"(-10-10*x-x*ln(x)-ln(x))/x^2/(x-3)","A"
8014,1,14,16,0.027000," ","int(1/5*(-5*exp(x)*x^2+9*x^2-25)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{9 x}{5}+\frac{5}{x}-{\mathrm e}^{x}$&$14$\\ risch&$\frac{9 x}{5}+\frac{5}{x}-{\mathrm e}^{x}$&$14$\\ norman&$\frac{5+\frac{9 x^{2}}{5}-{\mathrm e}^{x} x}{x}$&$17$\\ \hline \end{longtable}"," ",0,"9/5*x+5/x-exp(x)","A"
8015,1,12,11,0.116000," ","int(1/4*(-9*x-24)*exp(-9/8*x+2)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 \,{\mathrm e}^{-\frac{9 x}{8}+2}}{x^{3}}$&$12$\\ derivativedivides&$\frac{2 \,{\mathrm e}^{-\frac{9 x}{8}+2}}{x^{3}}$&$12$\\ default&$\frac{2 \,{\mathrm e}^{-\frac{9 x}{8}+2}}{x^{3}}$&$12$\\ norman&$\frac{2 \,{\mathrm e}^{-\frac{9 x}{8}+2}}{x^{3}}$&$12$\\ risch&$\frac{2 \,{\mathrm e}^{-\frac{9 x}{8}+2}}{x^{3}}$&$12$\\ meijerg&$-\frac{2187 \,{\mathrm e}^{2} \left(-\frac{512}{2187 x^{3}}+\frac{32}{81 x^{2}}-\frac{4}{9 x}+\frac{11}{36}-\frac{\ln \left(x \right)}{6}-\frac{\ln \left(3\right)}{3}+\frac{\ln \left(2\right)}{2}+\frac{-\frac{11}{36} x^{3}+\frac{4}{9} x^{2}-\frac{32}{81} x +\frac{512}{2187}}{x^{3}}-\frac{64 \left(\frac{81}{16} x^{2}-\frac{9}{2} x +8\right) {\mathrm e}^{-\frac{9 x}{8}}}{2187 x^{3}}+\frac{\ln \left(\frac{9 x}{8}\right)}{6}+\frac{\expIntegralEi \left(1, \frac{9 x}{8}\right)}{6}\right)}{256}-\frac{729 \,{\mathrm e}^{2} \left(-\frac{32}{81 x^{2}}+\frac{8}{9 x}-\frac{3}{4}+\frac{\ln \left(x \right)}{2}+\ln \left(3\right)-\frac{3 \ln \left(2\right)}{2}+\frac{\frac{3}{4} x^{2}-\frac{8}{9} x +\frac{32}{81}}{x^{2}}-\frac{32 \left(3-\frac{27 x}{8}\right) {\mathrm e}^{-\frac{9 x}{8}}}{243 x^{2}}-\frac{\ln \left(\frac{9 x}{8}\right)}{2}-\frac{\expIntegralEi \left(1, \frac{9 x}{8}\right)}{2}\right)}{256}$&$155$\\ \hline \end{longtable}"," ",0,"2/x^3*exp(-9/8*x+2)","A"
8016,1,26,33,0.086000," ","int(((-3*x^3+3*x^2+15*x+9)*exp(12)*exp(x)-6*x^7-12*x^6-6*x^5-18*x^3-9*x^2)/(x^6+2*x^5+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 x^{2}+\frac{9}{x \left(x +1\right)}-\frac{3 \,{\mathrm e}^{x +12}}{x^{3}}$&$26$\\ norman&$\frac{9 x^{2}-3 x^{5}-3 x^{6}-3 \,{\mathrm e}^{12} {\mathrm e}^{x}-3 x \,{\mathrm e}^{12} {\mathrm e}^{x}}{x^{3} \left(x +1\right)}$&$39$\\ default&$\frac{9}{x}-\frac{9}{x +1}-3 x^{2}+9 \,{\mathrm e}^{12} \left(\frac{11 \expIntegralEi \left(1, -x \right)}{6}-\frac{{\mathrm e}^{x}}{3 x^{3}}+\frac{5 \,{\mathrm e}^{x}}{6 x^{2}}-\frac{13 \,{\mathrm e}^{x}}{6 x}-\frac{{\mathrm e}^{x}}{x +1}-5 \,{\mathrm e}^{-1} \expIntegralEi \left(1, -x -1\right)\right)+15 \,{\mathrm e}^{12} \left(-\frac{3 \expIntegralEi \left(1, -x \right)}{2}+\frac{3 \,{\mathrm e}^{x}}{2 x}+\frac{{\mathrm e}^{x}}{x +1}+4 \,{\mathrm e}^{-1} \expIntegralEi \left(1, -x -1\right)-\frac{{\mathrm e}^{x}}{2 x^{2}}\right)+3 \,{\mathrm e}^{12} \left(\expIntegralEi \left(1, -x \right)-\frac{{\mathrm e}^{x}}{x}-\frac{{\mathrm e}^{x}}{x +1}-3 \,{\mathrm e}^{-1} \expIntegralEi \left(1, -x -1\right)\right)-3 \,{\mathrm e}^{12} \left(-\expIntegralEi \left(1, -x \right)+\frac{{\mathrm e}^{x}}{x +1}+2 \,{\mathrm e}^{-1} \expIntegralEi \left(1, -x -1\right)\right)$&$185$\\ \hline \end{longtable}"," ",0,"-3*x^2+9/x/(x+1)-3/x^3*exp(x+12)","A"
8017,1,23,18,0.022000," ","int((16*x^3+30*x^2-4*x-2)*ln(x)+4*x^3+10*x^2-2*x-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(4 x^{4}+10 x^{3}-2 x^{2}-2 x \right) \ln \left(x \right)$&$23$\\ default&$4 x^{4} \ln \left(x \right)+10 x^{3} \ln \left(x \right)-2 x^{2} \ln \left(x \right)-2 x \ln \left(x \right)$&$28$\\ norman&$4 x^{4} \ln \left(x \right)+10 x^{3} \ln \left(x \right)-2 x^{2} \ln \left(x \right)-2 x \ln \left(x \right)$&$28$\\ \hline \end{longtable}"," ",0,"(4*x^4+10*x^3-2*x^2-2*x)*ln(x)","A"
8018,1,129,56,1.061000," ","int((x^48-72*x^46+2472*x^44-53850*x^42+835464*x^40-9823272*x^38+90941519*x^36-679887504*x^34+4177029780*x^32-21348937708*x^30+91550677392*x^28-331262302464*x^26+1014667266639*x^24-2633985825000*x^22+5789669721888*x^20-10743242067610*x^18-1920*x^17+16738275785880*x^16+39936*x^15-21715716703800*x^14-349184*x^13+23178449018625*x^12+1656576*x^11-20004182838240*x^10-4580352*x^9+13612565902404*x^8+7306240*x^7-7030327854208*x^6-6021504*x^5+2589662421168*x^4+1556480*x^3-606070548480*x^2+521728*x+67717750976)*exp((x^33-48*x^31+1072*x^29-14780*x^27+140752*x^25-981456*x^23+5182726*x^21-21141456*x^19+67334568*x^17-168042748*x^15+327641456*x^13-494075008*x^11+565203905*x^9-474425152*x^7+275697112*x^5-99128320*x^3+64*x^2+16613776*x)/(x^32-48*x^30+1072*x^28-14780*x^26+140752*x^24-981456*x^22+5182726*x^20-21141456*x^18+67334568*x^16-168042748*x^14+327641456*x^12-494075008*x^10+565203905*x^8-474425152*x^6+275697112*x^4-99128320*x^2+16613776))/(x^48-72*x^46+2472*x^44-53850*x^42+835464*x^40-9823272*x^38+90941519*x^36-679887504*x^34+4177029780*x^32-21348937708*x^30+91550677392*x^28-331262302464*x^26+1014667266639*x^24-2633985825000*x^22+5789669721888*x^20-10743242067610*x^18+16738275785880*x^16-21715716703800*x^14+23178449018625*x^12-20004182838240*x^10+13612565902404*x^8-7030327854208*x^6+2589662421168*x^4-606070548480*x^2+67717750976),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \left(x^{32}-48 x^{30}+1072 x^{28}-14780 x^{26}+140752 x^{24}-981456 x^{22}+5182726 x^{20}-21141456 x^{18}+67334568 x^{16}-168042748 x^{14}+327641456 x^{12}-494075008 x^{10}+565203905 x^{8}-474425152 x^{6}+275697112 x^{4}-99128320 x^{2}+64 x +16613776\right)}{\left(x^{16}-24 x^{14}+248 x^{12}-1438 x^{10}+5112 x^{8}-11416 x^{6}+15681 x^{4}-12160 x^{2}+4076\right)^{2}}}$&$129$\\ gosper&${\mathrm e}^{\frac{x \left(x^{32}-48 x^{30}+1072 x^{28}-14780 x^{26}+140752 x^{24}-981456 x^{22}+5182726 x^{20}-21141456 x^{18}+67334568 x^{16}-168042748 x^{14}+327641456 x^{12}-494075008 x^{10}+565203905 x^{8}-474425152 x^{6}+275697112 x^{4}-99128320 x^{2}+64 x +16613776\right)}{x^{32}-48 x^{30}+1072 x^{28}-14780 x^{26}+140752 x^{24}-981456 x^{22}+5182726 x^{20}-21141456 x^{18}+67334568 x^{16}-168042748 x^{14}+327641456 x^{12}-494075008 x^{10}+565203905 x^{8}-474425152 x^{6}+275697112 x^{4}-99128320 x^{2}+16613776}}$&$169$\\ \hline \end{longtable}"," ",0,"exp(x*(x^32-48*x^30+1072*x^28-14780*x^26+140752*x^24-981456*x^22+5182726*x^20-21141456*x^18+67334568*x^16-168042748*x^14+327641456*x^12-494075008*x^10+565203905*x^8-474425152*x^6+275697112*x^4-99128320*x^2+64*x+16613776)/(x^16-24*x^14+248*x^12-1438*x^10+5112*x^8-11416*x^6+15681*x^4-12160*x^2+4076)^2)","B"
8019,1,28,24,0.039000," ","int((((x^2-2)*ln(x)*ln(ln(x))^2-x^2*ln(x)*ln(ln(x))+x^2)*exp(x/ln(ln(x)))+((5*x^2-10)*ln(x)^2+(-20*x^2-5*x+40)*ln(x))*ln(ln(x))^2)/(x^2*ln(x)*ln(ln(x))^2*exp(x/ln(ln(x)))+(5*x^2*ln(x)^2-20*x^2*ln(x))*ln(ln(x))^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}+2}{x}-\ln \left(5 \ln \left(x \right)+{\mathrm e}^{\frac{x}{\ln \left(\ln \left(x \right)\right)}}-20\right)$&$28$\\ \hline \end{longtable}"," ",0,"(x^2+2)/x-ln(5*ln(x)+exp(x/ln(ln(x)))-20)","A"
8020,1,182,27,0.128000," ","int(((-2*x^3-5*x^2-4*x)*ln(2*x^2+5*x+4)^2+((-4*x^3-10*x^2-8*x)*ln(x^2)^2+2*x^2+5*x+4)*ln(2*x^2+5*x+4)+(-2*x^3-5*x^2-4*x)*ln(x^2)^4+(2*x^2+5*x+4)*ln(x^2)^2+(-8*x^2-20*x-16)*ln(x)*ln(x^2)+(-4*x^2-5*x)*ln(x))/((2*x^3+5*x^2+4*x)*ln(2*x^2+5*x+4)^2+(4*x^3+10*x^2+8*x)*ln(x^2)^2*ln(2*x^2+5*x+4)+(2*x^3+5*x^2+4*x)*ln(x^2)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{4 \ln \left(x \right)}{-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{4}+4 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)^{3}-6 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}+4 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{5} \mathrm{csgn}\left(i x \right)-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}-8 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+16 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-8 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x^{2}\right)^{3}+16 \ln \left(x \right)^{2}+4 \ln \left(2 x^{2}+5 x +4\right)}$&$182$\\ \hline \end{longtable}"," ",0,"-x+4*ln(x)/(-Pi^2*csgn(I*x^2)^2*csgn(I*x)^4+4*Pi^2*csgn(I*x^2)^3*csgn(I*x)^3-6*Pi^2*csgn(I*x^2)^4*csgn(I*x)^2+4*Pi^2*csgn(I*x^2)^5*csgn(I*x)-Pi^2*csgn(I*x^2)^6-8*I*Pi*ln(x)*csgn(I*x)^2*csgn(I*x^2)+16*I*Pi*ln(x)*csgn(I*x)*csgn(I*x^2)^2-8*I*Pi*ln(x)*csgn(I*x^2)^3+16*ln(x)^2+4*ln(2*x^2+5*x+4))","C"
8021,1,23,27,0.052000," ","int(((-2*x+33)*ln(2)-10*x^4+660*x^3-10891*x^2+6*x-99)/(5*x^4-330*x^3+5445*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{-10 x^{3}+\ln \left(2\right)+10891 x -3}{5 x \left(x -33\right)}$&$23$\\ risch&$-2 x +\frac{\frac{x}{5}+\frac{\ln \left(2\right)}{5}-\frac{3}{5}}{x \left(x -33\right)}$&$23$\\ norman&$\frac{\frac{10891 x}{5}-2 x^{3}+\frac{\ln \left(2\right)}{5}-\frac{3}{5}}{x \left(x -33\right)}$&$24$\\ default&$-2 x -\frac{-\frac{\ln \left(2\right)}{33}-\frac{10}{11}}{5 \left(x -33\right)}-\frac{\frac{\ln \left(2\right)}{33}-\frac{1}{11}}{5 x}$&$29$\\ \hline \end{longtable}"," ",0,"1/5/x*(-10*x^3+ln(2)+10891*x-3)/(x-33)","A"
8022,1,10,10,0.023000," ","int((4*x*ln(x)-1)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x -\ln \left(\ln \left(x \right)\right)$&$10$\\ norman&$4 x -\ln \left(\ln \left(x \right)\right)$&$10$\\ risch&$4 x -\ln \left(\ln \left(x \right)\right)$&$10$\\ \hline \end{longtable}"," ",0,"4*x-ln(ln(x))","A"
8023,1,21,20,0.023000," ","int(-ln(1/5*ln(2)/x)+3-ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x \ln \left(x \right)+3 x -\ln \left(\frac{\ln \left(2\right)}{5 x}\right) x$&$21$\\ norman&$-x \ln \left(x \right)+3 x -\ln \left(\frac{\ln \left(2\right)}{5 x}\right) x$&$21$\\ risch&$-x \ln \left(x \right)+3 x -\ln \left(\frac{\ln \left(2\right)}{5 x}\right) x$&$21$\\ \hline \end{longtable}"," ",0,"-x*ln(x)+3*x-ln(1/5*ln(2)/x)*x","A"
8024,1,50,25,0.072000," ","int(1/8*(-8*x^3-28*x^2+40*x)*exp(1-x)^2+1/8*(-12*x^2-40*x)*ln(5)+1/2*x^3+75/8*x^2+25*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(4 x^{3}+20 x^{2}\right) {\mathrm e}^{-2 x +2}}{8}-\frac{x^{3} \ln \left(5\right)}{2}-\frac{5 x^{2} \ln \left(5\right)}{2}+\frac{x^{4}}{8}+\frac{25 x^{3}}{8}+\frac{25 x^{2}}{2}$&$50$\\ norman&$\left(-\frac{5 \ln \left(5\right)}{2}+\frac{25}{2}\right) x^{2}+\left(-\frac{\ln \left(5\right)}{2}+\frac{25}{8}\right) x^{3}+\frac{x^{4}}{8}+\frac{5 x^{2} {\mathrm e}^{-2 x +2}}{2}+\frac{x^{3} {\mathrm e}^{-2 x +2}}{2}$&$53$\\ default&$\frac{25 x^{2}}{2}+\frac{25 x^{3}}{8}+\frac{x^{4}}{8}-\frac{x^{3} \ln \left(5\right)}{2}-\frac{5 x^{2} \ln \left(5\right)}{2}+3 \,{\mathrm e}^{-2 x +2}-\frac{13 \,{\mathrm e}^{-2 x +2} \left(1-x \right)}{2}+4 \,{\mathrm e}^{-2 x +2} \left(1-x \right)^{2}-\frac{{\mathrm e}^{-2 x +2} \left(1-x \right)^{3}}{2}$&$90$\\ derivativedivides&$-25+25 x +\frac{25 \left(1-x \right)^{2}}{2}+\frac{25 x^{3}}{8}+\frac{x^{4}}{8}+\frac{\ln \left(5\right) \left(1-x \right)^{3}}{2}-4 \ln \left(5\right) \left(1-x \right)^{2}+\frac{13 \left(1-x \right) \ln \left(5\right)}{2}-\frac{\ln \left(5\right)}{2}+3 \,{\mathrm e}^{-2 x +2}-\frac{13 \,{\mathrm e}^{-2 x +2} \left(1-x \right)}{2}+4 \,{\mathrm e}^{-2 x +2} \left(1-x \right)^{2}-\frac{{\mathrm e}^{-2 x +2} \left(1-x \right)^{3}}{2}$&$119$\\ \hline \end{longtable}"," ",0,"1/8*(4*x^3+20*x^2)*exp(-2*x+2)-1/2*x^3*ln(5)-5/2*x^2*ln(5)+1/8*x^4+25/8*x^3+25/2*x^2","A"
8025,1,9,8,0.014000," ","int(32/3*exp(exp(1/4)+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{32 \,{\mathrm e}^{{\mathrm e}^{\frac{1}{4}}+3} x}{3}$&$9$\\ norman&$\frac{32 \,{\mathrm e}^{{\mathrm e}^{\frac{1}{4}}} {\mathrm e}^{3} x}{3}$&$9$\\ risch&$\frac{32 \,{\mathrm e}^{{\mathrm e}^{\frac{1}{4}}+3} x}{3}$&$9$\\ \hline \end{longtable}"," ",0,"32/3*exp(exp(1/4)+3)*x","A"
8026,1,51,25,0.443000," ","int((-256*ln(2)+(16*x^2-32*x)*exp(10)^2+(-32*x^3+192*x)*exp(10)+16*x^4+32*x^3-144*x^2-288*x+1280)*exp(x)/(256*ln(2)^2+(-32*x^2*exp(10)^2+(64*x^3+192*x^2)*exp(10)-32*x^4-192*x^3-288*x^2-2560)*ln(2)+x^4*exp(10)^4+(-4*x^5-12*x^4)*exp(10)^3+(6*x^6+36*x^5+54*x^4+160*x^2)*exp(10)^2+(-4*x^7-36*x^6-108*x^5-108*x^4-320*x^3-960*x^2)*exp(10)+x^8+12*x^7+54*x^6+108*x^5+241*x^4+960*x^3+1440*x^2+6400),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{16 \,{\mathrm e}^{x}}{-x^{2} {\mathrm e}^{20}+2 x^{3} {\mathrm e}^{10}-x^{4}+6 x^{2} {\mathrm e}^{10}-6 x^{3}-9 x^{2}+16 \ln \left(2\right)-80}$&$51$\\ norman&$-\frac{16 \,{\mathrm e}^{x}}{-x^{2} {\mathrm e}^{20}+2 x^{3} {\mathrm e}^{10}-x^{4}+6 x^{2} {\mathrm e}^{10}-6 x^{3}-9 x^{2}+16 \ln \left(2\right)-80}$&$51$\\ default&$\text{Expression too large to display}$&$10159$\\ \hline \end{longtable}"," ",0,"-16*exp(x)/(-x^2*exp(10)^2+2*x^3*exp(10)-x^4+6*x^2*exp(10)-6*x^3-9*x^2+16*ln(2)-80)","A"
8027,1,17,18,0.391000," ","int((4*x+4)/(ln(5)+exp(9)-x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(\ln \left(5\right)+{\mathrm e}^{9}-x^{2}-2 x \right)$&$17$\\ norman&$-2 \ln \left(\ln \left(5\right)+{\mathrm e}^{9}-x^{2}-2 x \right)$&$17$\\ risch&$-2 \ln \left(-\ln \left(5\right)-{\mathrm e}^{9}+x^{2}+2 x \right)$&$19$\\ \hline \end{longtable}"," ",0,"-2*ln(ln(5)+exp(9)-x^2-2*x)","A"
8028,1,319,17,0.185000," ","int(((-3*exp(x)-3*x-12)*ln(3*exp(x)^2+(24+6*x)*exp(x)+3*x^2+24*x+48)^2+(12*exp(x)*x+12*x)*ln(3*exp(x)^2+(24+6*x)*exp(x)+3*x^2+24*x+48))/(4*exp(x)*x^2+4*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \ln \left(4+x +{\mathrm e}^{x}\right)^{2}}{x}+\frac{3 \left(-i \pi  \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)\right)^{2} \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)^{2}\right)^{3}+2 \ln \left(3\right)\right) \ln \left(4+x +{\mathrm e}^{x}\right)}{2 x}+\frac{\frac{3 \ln \left(3\right)^{2}}{4}-\frac{9 \pi^{2} \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)\right)^{2} \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)^{2}\right)^{4}}{8}+\frac{3 \pi^{2} \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)^{2}\right)^{5}}{4}-\frac{3 i \ln \left(3\right) \pi  \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)^{2}\right)^{3}}{4}-\frac{3 i \ln \left(3\right) \pi  \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)\right)^{2} \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)^{2}\right)}{4}+\frac{3 i \ln \left(3\right) \pi  \,\mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)^{2}\right)^{2}}{2}-\frac{3 \pi^{2} \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)^{2}\right)^{6}}{16}-\frac{3 \pi^{2} \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)\right)^{4} \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)^{2}\right)^{2}}{16}+\frac{3 \pi^{2} \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)\right)^{3} \mathrm{csgn}\left(i \left(4+x +{\mathrm e}^{x}\right)^{2}\right)^{3}}{4}}{x}$&$319$\\ \hline \end{longtable}"," ",0,"3/x*ln(4+x+exp(x))^2+3/2*(-I*Pi*csgn(I*(4+x+exp(x)))^2*csgn(I*(4+x+exp(x))^2)+2*I*Pi*csgn(I*(4+x+exp(x)))*csgn(I*(4+x+exp(x))^2)^2-I*Pi*csgn(I*(4+x+exp(x))^2)^3+2*ln(3))/x*ln(4+x+exp(x))+3/16*(4*ln(3)^2-6*Pi^2*csgn(I*(4+x+exp(x)))^2*csgn(I*(4+x+exp(x))^2)^4+4*Pi^2*csgn(I*(4+x+exp(x)))*csgn(I*(4+x+exp(x))^2)^5-4*I*ln(3)*Pi*csgn(I*(4+x+exp(x))^2)^3-4*I*ln(3)*Pi*csgn(I*(4+x+exp(x)))^2*csgn(I*(4+x+exp(x))^2)+8*I*ln(3)*Pi*csgn(I*(4+x+exp(x)))*csgn(I*(4+x+exp(x))^2)^2-Pi^2*csgn(I*(4+x+exp(x))^2)^6-Pi^2*csgn(I*(4+x+exp(x)))^4*csgn(I*(4+x+exp(x))^2)^2+4*Pi^2*csgn(I*(4+x+exp(x)))^3*csgn(I*(4+x+exp(x))^2)^3)/x","C"
8029,1,7,11,0.015000," ","int((x-2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -2 \ln \left(x \right)$&$7$\\ norman&$x -2 \ln \left(x \right)$&$7$\\ risch&$x -2 \ln \left(x \right)$&$7$\\ \hline \end{longtable}"," ",0,"x-2*ln(x)","A"
8030,1,16,22,0.062000," ","int((2*x*ln(3*x^2)^2+4*x*ln(3*x^2))/(x^2*ln(3*x^2)^2-9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(x^{2} \ln \left(3 x^{2}\right)^{2}-9\right)$&$16$\\ risch&$2 \ln \left(x \right)+\ln \left(\ln \left(3 x^{2}\right)^{2}-\frac{9}{x^{2}}\right)$&$21$\\ norman&$\ln \left(x \ln \left(3 x^{2}\right)-3\right)+\ln \left(x \ln \left(3 x^{2}\right)+3\right)$&$24$\\ default&$\ln \left(x^{2} \ln \left(3\right)^{2}+2 x^{2} \ln \left(3\right) \ln \left(x^{2}\right)+x^{2} \ln \left(x^{2}\right)^{2}-9\right)$&$33$\\ \hline \end{longtable}"," ",0,"ln(x^2*ln(3*x^2)^2-9)","A"
8031,1,16,23,0.045000," ","int((-16*x*exp(4*x^2)+2*exp(x))/(exp(4*x^2)^2-2*exp(x)*exp(4*x^2)+exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{2}{{\mathrm e}^{x}-{\mathrm e}^{4 x^{2}}}$&$16$\\ risch&$-\frac{2}{{\mathrm e}^{x}-{\mathrm e}^{4 x^{2}}}$&$16$\\ \hline \end{longtable}"," ",0,"-2/(exp(x)-exp(4*x^2))","A"
8032,1,22,20,0.076000," ","int(((exp(x)*(x-2)+2*x^2-3*x-1)*exp(exp(x))-4*x^2+4*x+1)/(((x-2)*exp(exp(x))+3-2*x)*ln((2-x)*exp(exp(x))+2*x-3)+(x^3-x^2-2*x)*exp(exp(x))-2*x^3+x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x^{2}+x +\ln \left(\left(2-x \right) {\mathrm e}^{{\mathrm e}^{x}}+2 x -3\right)\right)$&$22$\\ \hline \end{longtable}"," ",0,"ln(x^2+x+ln((2-x)*exp(exp(x))+2*x-3))","A"
8033,1,30,23,0.068000," ","int(((x^4-2*x^3-8*x^2+15*x-6)*ln((-x^3+x^2+9*x-6)/(x^2-x))+6*x^4-12*x^3-30*x^2+63*x-24)/(x^4-2*x^3-8*x^2+15*x-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x +\ln \left(\frac{-x^{3}+x^{2}+9 x -6}{x \left(x -1\right)}\right) x$&$30$\\ norman&$x \ln \left(\frac{-x^{3}+x^{2}+9 x -6}{x^{2}-x}\right)+5 x$&$31$\\ risch&$x \ln \left(\frac{-x^{3}+x^{2}+9 x -6}{x^{2}-x}\right)+5 x$&$31$\\ \hline \end{longtable}"," ",0,"5*x+ln((-x^3+x^2+9*x-6)/x/(x-1))*x","A"
8034,1,17,17,0.092000," ","int(1/2*((-45*x^3*exp(3/2*x^3)+2*x)*ln(x)-10*exp(3/2*x^3)+2*x+6)*exp((-5*exp(3/2*x^3)+3+x)*ln(x)+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{-5 \,{\mathrm e}^{\frac{3 x^{3}}{2}}+3+x} {\mathrm e}$&$17$\\ \hline \end{longtable}"," ",0,"x^(-5*exp(3/2*x^3)+3+x)*exp(1)","A"
8035,1,18,25,0.069000," ","int((x*ln(exp(5)/x)+5*x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(\frac{{\mathrm e}^{5}}{x}\right)+6 x -\ln \left(x \right)$&$18$\\ norman&$x \ln \left(\frac{{\mathrm e}^{5}}{x}\right)+\ln \left(\frac{{\mathrm e}^{5}}{x}\right)+6 x$&$21$\\ derivativedivides&$-{\mathrm e}^{5} \left(-x \,{\mathrm e}^{-5} \ln \left(\frac{{\mathrm e}^{5}}{x}\right)-x \,{\mathrm e}^{-5}\right)+5 x +\ln \left(\frac{{\mathrm e}^{5}}{x}\right)$&$38$\\ default&$-{\mathrm e}^{5} \left(-x \,{\mathrm e}^{-5} \ln \left(\frac{{\mathrm e}^{5}}{x}\right)-x \,{\mathrm e}^{-5}\right)+5 x +\ln \left(\frac{{\mathrm e}^{5}}{x}\right)$&$38$\\ \hline \end{longtable}"," ",0,"x*ln(exp(5)/x)+6*x-ln(x)","A"
8036,1,15,10,0.024000," ","int((-2*x-2)*exp(x)-4*x+162,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$162 x -2 \,{\mathrm e}^{x} x -2 x^{2}$&$15$\\ norman&$162 x -2 \,{\mathrm e}^{x} x -2 x^{2}$&$15$\\ risch&$162 x -2 \,{\mathrm e}^{x} x -2 x^{2}$&$15$\\ \hline \end{longtable}"," ",0,"162*x-2*exp(x)*x-2*x^2","A"
8037,1,43,31,0.097000," ","int(((-4*x^3*ln(x)^2-12*x^2*ln(x)-9*x)*ln(2*x)-2*x*ln(x)^3+(-4*x^3+6*x)*ln(x)^2+(2*x^3-12*x^2-2*x+6)*ln(x)-2*x^3+6*x^2-11*x-6)/(4*x^3*ln(x)^2+12*x^2*ln(x)+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}+\ln \left(x \right)^{2}-2 \ln \left(x \right)-\frac{11 x \ln \left(x \right)}{3}-2 x^{2} \ln \left(x \right)^{2}}{3+2 x \ln \left(x \right)}-x \ln \left(2\right)$&$43$\\ risch&$-\frac{\left(2 x^{2}-1\right) \ln \left(x \right)}{2 x}-\frac{3+4 x^{3} \ln \left(2\right)+4 x}{4 x^{2}}+\frac{4 x^{4}+4 x^{2}+12 x +9}{4 x^{2} \left(3+2 x \ln \left(x \right)\right)}$&$62$\\ \hline \end{longtable}"," ",0,"(x^2+ln(x)^2-2*ln(x)-11/3*x*ln(x)-2*x^2*ln(x)^2)/(3+2*x*ln(x))-x*ln(2)","A"
8038,1,28,23,0.091000," ","int((4*x^2*exp(x^2)*ln(x)-2*x^2*exp(x^2)*exp(exp(2)^2+10*exp(2)+25)+(-2*x^3+8*x^2-x+2)*exp(x^2))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{x^{2}} \ln \left(x \right)-\left({\mathrm e}^{{\mathrm e}^{4}+10 \,{\mathrm e}^{2}+25}+x -4\right) {\mathrm e}^{x^{2}}$&$28$\\ default&$-{\mathrm e}^{x^{2}} x +2 \,{\mathrm e}^{x^{2}} \ln \left(x \right)+4 \,{\mathrm e}^{x^{2}}-{\mathrm e}^{x^{2}+{\mathrm e}^{4}+10 \,{\mathrm e}^{2}+25}$&$37$\\ norman&$\left(-{\mathrm e}^{25} {\mathrm e}^{{\mathrm e}^{4}} {\mathrm e}^{10 \,{\mathrm e}^{2}}+4\right) {\mathrm e}^{x^{2}}-{\mathrm e}^{x^{2}} x +2 \,{\mathrm e}^{x^{2}} \ln \left(x \right)$&$38$\\ \hline \end{longtable}"," ",0,"2*exp(x^2)*ln(x)-(exp(exp(4)+10*exp(2)+25)+x-4)*exp(x^2)","A"
8039,1,21,20,0.028000," ","int(((4*x^2+24*x+32)*exp(x+1)^2*ln(4+x)^2+(4*x+10)*exp(x+1)^2*ln(4+x))/(4*x^3+36*x^2+105*x+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2 x +2} \ln \left(4+x \right)^{2}}{5+2 x}$&$21$\\ \hline \end{longtable}"," ",0,"exp(2*x+2)*ln(4+x)^2/(5+2*x)","A"
8040,1,492,37,67.539000," ","int(((-15*ln(1/3*x)-x^2+11*x-15)*ln(3*x^2)^2+((-20*x+60)*ln(1/3*x)+4*x^2-12*x)*ln(3*x^2)+(-5*exp(x)*x^2+5*x^2)*ln(1/3*x)+(x^3-x^2+5*x)*exp(x)-5*x^2)/((x^2-6*x+9)*ln(3*x^2)^4+((2*x^2-6*x)*exp(x)-2*x^3+6*x^2)*ln(3*x^2)^2+exp(x)^2*x^2-2*exp(x)*x^3+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{-20 x \ln \left(x \right)+20 x \ln \left(3\right)+4 x^{2}}{-16 x \ln \left(3\right) \ln \left(x \right)+12 \ln \left(3\right)^{2}+48 \ln \left(x \right)^{2}+4 x^{2}-4 x \ln \left(3\right)^{2}+48 \ln \left(3\right) \ln \left(x \right)-16 x \ln \left(x \right)^{2}-4 \,{\mathrm e}^{x} x -3 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}-12 i \ln \left(3\right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-24 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+x \,\pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-4 x \,\pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}+6 x \,\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}-4 x \,\pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}+8 i x \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+48 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i x \ln \left(3\right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-12 i \ln \left(3\right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+24 i \ln \left(3\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i x \ln \left(3\right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-8 i x \ln \left(3\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+8 i x \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-16 i x \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+12 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{5} \mathrm{csgn}\left(i x \right)-18 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}+12 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)^{3}-3 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{4}+x \,\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}-24 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}$&$492$\\ \hline \end{longtable}"," ",0,"2*(-10*x*ln(x)+10*x*ln(3)+2*x^2)/(-16*x*ln(3)*ln(x)-12*I*ln(3)*Pi*csgn(I*x^2)^3-24*I*ln(x)*Pi*csgn(I*x^2)^3+12*ln(3)^2+48*ln(x)^2+4*x^2-4*x*ln(3)^2+48*ln(3)*ln(x)-16*x*ln(x)^2-4*exp(x)*x+x*Pi^2*csgn(I*x)^4*csgn(I*x^2)^2-4*x*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3+6*x*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4-4*x*Pi^2*csgn(I*x)*csgn(I*x^2)^5+8*I*x*ln(x)*Pi*csgn(I*x^2)^3-24*I*ln(x)*Pi*csgn(I*x)^2*csgn(I*x^2)+48*I*ln(x)*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*x*ln(3)*Pi*csgn(I*x^2)^3-12*I*ln(3)*Pi*csgn(I*x)^2*csgn(I*x^2)+24*I*ln(3)*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*x*ln(3)*Pi*csgn(I*x)^2*csgn(I*x^2)-8*I*x*ln(3)*Pi*csgn(I*x)*csgn(I*x^2)^2+8*I*x*ln(x)*Pi*csgn(I*x)^2*csgn(I*x^2)-16*I*x*ln(x)*Pi*csgn(I*x)*csgn(I*x^2)^2+12*Pi^2*csgn(I*x^2)^5*csgn(I*x)-18*Pi^2*csgn(I*x^2)^4*csgn(I*x)^2+12*Pi^2*csgn(I*x^2)^3*csgn(I*x)^3-3*Pi^2*csgn(I*x^2)^2*csgn(I*x)^4-3*Pi^2*csgn(I*x^2)^6+x*Pi^2*csgn(I*x^2)^6)","C"
8041,1,64,32,0.115000," ","int((((-10*x^4-80*x^2+10*x-160)*exp((x-5)/x)*ln(-x^4-8*x^2+x-16)*ln(1/4*ln(-x^4-8*x^2+x-16))-8*x^5-32*x^3+2*x^2)*ln(ln(1/4*ln(-x^4-8*x^2+x-16)))+((-10*x^4-80*x^2+10*x-160)*exp((x-5)/x)^2+x^6+8*x^4-x^3+16*x^2)*ln(-x^4-8*x^2+x-16)*ln(1/4*ln(-x^4-8*x^2+x-16))+(-8*x^5-32*x^3+2*x^2)*exp((x-5)/x))/(x^6+8*x^4-x^3+16*x^2)/ln(-x^4-8*x^2+x-16)/ln(1/4*ln(-x^4-8*x^2+x-16)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{2 x -10}{x}}-2 \,{\mathrm e}^{\frac{x -5}{x}} \ln \left(\ln \left(\frac{\ln \left(-x^{4}-8 x^{2}+x -16\right)}{4}\right)\right)-\ln \left(\ln \left(\frac{\ln \left(-x^{4}-8 x^{2}+x -16\right)}{4}\right)\right)^{2}+x$&$64$\\ \hline \end{longtable}"," ",0,"-exp(2*(x-5)/x)-2*exp((x-5)/x)*ln(ln(1/4*ln(-x^4-8*x^2+x-16)))-ln(ln(1/4*ln(-x^4-8*x^2+x-16)))^2+x","A"
8042,1,39,29,0.138000," ","int((4*(-x^4-8*x^3-8*x^2+32*x-16)*ln(2)*exp(x)+4*(-2*x^5-15*x^4-8*x^3+72*x^2-64*x+16)*ln(2)+2*x^4+16*x^3+13*x^2-88*x-28)/(x^4+8*x^3+8*x^2-32*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x^{2} \ln \left(2\right)+4 x \ln \left(2\right)+2 x +\frac{3 x +12}{x^{2}+4 x -4}-4 \,{\mathrm e}^{x} \ln \left(2\right)$&$39$\\ norman&$\frac{\left(2-12 \ln \left(2\right)\right) x^{3}+\left(-37-144 \ln \left(2\right)\right) x -4 x^{4} \ln \left(2\right)+16 \,{\mathrm e}^{x} \ln \left(2\right)-16 x \ln \left(2\right) {\mathrm e}^{x}-4 x^{2} \ln \left(2\right) {\mathrm e}^{x}+44+128 \ln \left(2\right)}{x^{2}+4 x -4}$&$65$\\ default&$\frac{\frac{7 x}{4}+\frac{7}{2}}{x^{2}+4 x -4}+\frac{-11 x +22}{x^{2}+4 x -4}+\frac{-\frac{39 x}{4}+\frac{13}{2}}{x^{2}+4 x -4}+\frac{56 x -48}{x^{2}+4 x -4}+2 x -\frac{16 \left(\frac{17 x}{8}-\frac{7}{4}\right)}{x^{2}+4 x -4}+4 x \ln \left(2\right)-4 x^{2} \ln \left(2\right)-4 \,{\mathrm e}^{x} \ln \left(2\right)$&$108$\\ \hline \end{longtable}"," ",0,"-4*x^2*ln(2)+4*x*ln(2)+2*x+(3*x+12)/(x^2+4*x-4)-4*exp(x)*ln(2)","A"
8043,0,0,29,0.131000," ","int(((x*exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2+1)*ln((-x*exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2-1)/exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2)+x*exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2-4*x^2*ln(3)*exp(-x^2+2)-2*x*ln(3))/(x^2*exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2+x)/ln((-x*exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2-1)/exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2)/ln(x*ln((-x*exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2-1)/exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2)),x)","\[\int \frac{\left(x \,{\mathrm e}^{{\mathrm e}^{-x^{2}+2} \ln \left(\frac{1}{9}\right)+x \ln \left(9\right)}+1\right) \ln \left(\left(-x \,{\mathrm e}^{{\mathrm e}^{-x^{2}+2} \ln \left(\frac{1}{9}\right)+x \ln \left(9\right)}-1\right) {\mathrm e}^{{\mathrm e}^{-x^{2}+2} \ln \left(9\right)+x \ln \left(\frac{1}{9}\right)}\right)+x \,{\mathrm e}^{{\mathrm e}^{-x^{2}+2} \ln \left(\frac{1}{9}\right)+x \ln \left(9\right)}-4 x^{2} \ln \left(3\right) {\mathrm e}^{-x^{2}+2}-2 x \ln \left(3\right)}{\left(x^{2} {\mathrm e}^{{\mathrm e}^{-x^{2}+2} \ln \left(\frac{1}{9}\right)+x \ln \left(9\right)}+x \right) \ln \left(\left(-x \,{\mathrm e}^{{\mathrm e}^{-x^{2}+2} \ln \left(\frac{1}{9}\right)+x \ln \left(9\right)}-1\right) {\mathrm e}^{{\mathrm e}^{-x^{2}+2} \ln \left(9\right)+x \ln \left(\frac{1}{9}\right)}\right) \ln \left(x \ln \left(\left(-x \,{\mathrm e}^{{\mathrm e}^{-x^{2}+2} \ln \left(\frac{1}{9}\right)+x \ln \left(9\right)}-1\right) {\mathrm e}^{{\mathrm e}^{-x^{2}+2} \ln \left(9\right)+x \ln \left(\frac{1}{9}\right)}\right)\right)}\, dx\]"," ",0,"int(((x*exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2+1)*ln((-x*exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2-1)/exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2)+x*exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2-4*x^2*ln(3)*exp(-x^2+2)-2*x*ln(3))/(x^2*exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2+x)/ln((-x*exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2-1)/exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2)/ln(x*ln((-x*exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2-1)/exp(-ln(3)*exp(-x^2+2)+x*ln(3))^2)),x)","F"
8044,1,49,30,0.198000," ","int((((-x^6+2*x^5+x^3-2*x^2)*exp(x)-3*x^5+12*x^4-8*x^3-6*x+8)*exp((exp(x)*x+4-2*x)/x)-3*x^5+8*x^4-2*x)/(3*x^3-12*x^2+12*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{3}}{3}-\frac{2 x^{2}}{3}-\frac{4 x}{3}-\frac{14}{3 \left(x -2\right)}-\frac{\left(x^{3}-1\right) x \,{\mathrm e}^{\frac{{\mathrm e}^{x} x +4-2 x}{x}}}{3 \left(x -2\right)}$&$49$\\ norman&$\frac{-\frac{x^{4}}{3}+\frac{{\mathrm e}^{\frac{{\mathrm e}^{x} x +4-2 x}{x}} x}{3}-\frac{{\mathrm e}^{\frac{{\mathrm e}^{x} x +4-2 x}{x}} x^{4}}{3}+\frac{2}{3}}{x -2}$&$50$\\ \hline \end{longtable}"," ",0,"-1/3*x^3-2/3*x^2-4/3*x-14/3/(x-2)-1/3*(x^3-1)*x/(x-2)*exp((exp(x)*x+4-2*x)/x)","A"
8045,1,15,18,0.052000," ","int((22*exp(1)*exp(x)^2+(-132*exp(1)-3)*exp(x)+198*exp(1))/(exp(1)*exp(x)^2-6*exp(1)*exp(x)+9*exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$22 x +\frac{3 \,{\mathrm e}^{-1}}{{\mathrm e}^{x}-3}$&$15$\\ derivativedivides&${\mathrm e}^{-1} \left(\frac{3}{{\mathrm e}^{x}-3}+22 \,{\mathrm e} \ln \left({\mathrm e}^{x}\right)\right)$&$22$\\ default&${\mathrm e}^{-1} \left(\frac{3}{{\mathrm e}^{x}-3}+22 \,{\mathrm e} \ln \left({\mathrm e}^{x}\right)\right)$&$22$\\ norman&$\frac{-66 x +22 \,{\mathrm e}^{x} x +3 \,{\mathrm e}^{-1}}{{\mathrm e}^{x}-3}$&$23$\\ \hline \end{longtable}"," ",0,"22*x+3/(exp(x)-3)*exp(-1)","A"
8046,1,15,18,0.049000," ","int((4*x+1)*exp(ln(ln(ln(6*x)+4*x-4))-2*ln(2)+25)/(x*ln(6*x)+4*x^2-4*x)/ln(ln(6*x)+4*x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(\ln \left(6 x \right)+4 x -4\right) {\mathrm e}^{25}}{4}$&$15$\\ risch&$\frac{\ln \left(\ln \left(6 x \right)+4 x -4\right) {\mathrm e}^{25}}{4}$&$15$\\ \hline \end{longtable}"," ",0,"1/4*ln(ln(6*x)+4*x-4)*exp(25)","A"
8047,1,270,30,0.345000," ","int(((2*x^3*exp(1)*ln(x)^2+8*x^3*exp(1)*ln(x)+(10*x^3-4*x)*exp(1))*ln((-x^2*ln(x)^2-4*x^2*ln(x)-5*x^2+2)/x)+(x^3-x^2)*exp(1)*ln(x)^2+(6*x^3-4*x^2)*exp(1)*ln(x)+(9*x^3-5*x^2+2*x+2)*exp(1))/(x^2*ln(x)^2+4*x^2*ln(x)+5*x^2-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e} \ln \left(-2+\left(\ln \left(x \right)^{2}+4 \ln \left(x \right)+5\right) x^{2}\right)-x^{2} {\mathrm e} \ln \left(x \right)+\frac{i \pi  \,{\mathrm e} x^{2} \mathrm{csgn}\left(i \left(-2+\left(\ln \left(x \right)^{2}+4 \ln \left(x \right)+5\right) x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-2+\left(\ln \left(x \right)^{2}+4 \ln \left(x \right)+5\right) x^{2}\right)}{x}\right)^{2}}{2}-\frac{i \pi  \,{\mathrm e} x^{2} \mathrm{csgn}\left(i \left(-2+\left(\ln \left(x \right)^{2}+4 \ln \left(x \right)+5\right) x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-2+\left(\ln \left(x \right)^{2}+4 \ln \left(x \right)+5\right) x^{2}\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)}{2}+\frac{i \pi  \,{\mathrm e} x^{2} \mathrm{csgn}\left(\frac{i \left(-2+\left(\ln \left(x \right)^{2}+4 \ln \left(x \right)+5\right) x^{2}\right)}{x}\right)^{3}}{2}-i \pi  \,{\mathrm e} x^{2} \mathrm{csgn}\left(\frac{i \left(-2+\left(\ln \left(x \right)^{2}+4 \ln \left(x \right)+5\right) x^{2}\right)}{x}\right)^{2}+\frac{i \pi  \,{\mathrm e} x^{2} \mathrm{csgn}\left(\frac{i \left(-2+\left(\ln \left(x \right)^{2}+4 \ln \left(x \right)+5\right) x^{2}\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)}{2}+i {\mathrm e} \pi  \,x^{2}-x \,{\mathrm e}$&$270$\\ \hline \end{longtable}"," ",0,"x^2*exp(1)*ln(-2+(ln(x)^2+4*ln(x)+5)*x^2)-x^2*exp(1)*ln(x)+1/2*I*Pi*exp(1)*x^2*csgn(I*(-2+(ln(x)^2+4*ln(x)+5)*x^2))*csgn(I/x*(-2+(ln(x)^2+4*ln(x)+5)*x^2))^2-1/2*I*Pi*exp(1)*x^2*csgn(I*(-2+(ln(x)^2+4*ln(x)+5)*x^2))*csgn(I/x*(-2+(ln(x)^2+4*ln(x)+5)*x^2))*csgn(I/x)+1/2*I*Pi*exp(1)*x^2*csgn(I/x*(-2+(ln(x)^2+4*ln(x)+5)*x^2))^3-I*Pi*exp(1)*x^2*csgn(I/x*(-2+(ln(x)^2+4*ln(x)+5)*x^2))^2+1/2*I*Pi*exp(1)*x^2*csgn(I/x*(-2+(ln(x)^2+4*ln(x)+5)*x^2))^2*csgn(I/x)+I*exp(1)*Pi*x^2-x*exp(1)","C"
8048,1,22,24,0.023000," ","int((10*exp(x)^2-16*x^2+12*x+66)*exp(8*x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{10 x}+\left(-2 x^{2}+2 x +8\right) {\mathrm e}^{8 x}+x$&$22$\\ default&$x +8 \,{\mathrm e}^{8 x}+{\mathrm e}^{10 x}+2 x \,{\mathrm e}^{8 x}-2 \,{\mathrm e}^{8 x} x^{2}$&$29$\\ \hline \end{longtable}"," ",0,"exp(10*x)+(-2*x^2+2*x+8)*exp(8*x)+x","A"
8049,1,381,24,1.112000," ","int(((18*x^3-54*x^2+36*x)*ln(x)*ln((-2*x^2+2*x)*ln(x)/(x-2))+(-18*x^3+72*x^2-36*x)*ln(x)-18*x^3+54*x^2-36*x)/(x^2-3*x+2)/ln(x)/ln((-2*x^2+2*x)*ln(x)/(x-2))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{36 x^{2}}{\left(\pi  \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x -2}\right)^{3}-\pi  \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x -2}\right)^{2} \mathrm{csgn}\left(\frac{i}{x -2}\right)-\pi  \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x -2}\right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)-\pi  \,\mathrm{csgn}\left(\frac{i \left(x -1\right)}{x -2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right) \left(x -1\right)}{x -2}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i \left(x -1\right)}{x -2}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right) \left(x -1\right)}{x -2}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)+\pi  \,\mathrm{csgn}\left(\frac{i \left(x -1\right)}{x -2}\right) \mathrm{csgn}\left(\frac{i}{x -2}\right) \mathrm{csgn}\left(i \left(x -1\right)\right)+\pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right) \left(x -1\right)}{x -2}\right)^{3}-\pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right) \left(x -1\right)}{x -2}\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)-\pi  \,\mathrm{csgn}\left(\frac{i \ln \left(x \right) \left(x -1\right)}{x -2}\right) \mathrm{csgn}\left(\frac{i x \ln \left(x \right) \left(x -1\right)}{x -2}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i \ln \left(x \right) \left(x -1\right)}{x -2}\right) \mathrm{csgn}\left(\frac{i x \ln \left(x \right) \left(x -1\right)}{x -2}\right) \mathrm{csgn}\left(i x \right)-\pi  \mathrm{csgn}\left(\frac{i x \ln \left(x \right) \left(x -1\right)}{x -2}\right)^{3}+2 \pi  \mathrm{csgn}\left(\frac{i x \ln \left(x \right) \left(x -1\right)}{x -2}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i x \ln \left(x \right) \left(x -1\right)}{x -2}\right)^{2} \mathrm{csgn}\left(i x \right)-2 \pi -2 i \ln \left(x -2\right)+2 i \ln \left(2\right)+2 i \ln \left(x -1\right)+2 i \ln \left(\ln \left(x \right)\right)+2 i \ln \left(x \right)\right)^{2}}$&$381$\\ \hline \end{longtable}"," ",0,"-36*x^2/(Pi*csgn(I/(x-2)*(x-1))^3-Pi*csgn(I/(x-2)*(x-1))^2*csgn(I/(x-2))-Pi*csgn(I/(x-2)*(x-1))^2*csgn(I*(x-1))-Pi*csgn(I/(x-2)*(x-1))*csgn(I*ln(x)*(x-1)/(x-2))^2+Pi*csgn(I/(x-2)*(x-1))*csgn(I*ln(x)*(x-1)/(x-2))*csgn(I*ln(x))+Pi*csgn(I/(x-2)*(x-1))*csgn(I/(x-2))*csgn(I*(x-1))+Pi*csgn(I*ln(x)*(x-1)/(x-2))^3-Pi*csgn(I*ln(x)*(x-1)/(x-2))^2*csgn(I*ln(x))-Pi*csgn(I*ln(x)*(x-1)/(x-2))*csgn(I*x/(x-2)*ln(x)*(x-1))^2+Pi*csgn(I*ln(x)*(x-1)/(x-2))*csgn(I*x/(x-2)*ln(x)*(x-1))*csgn(I*x)-Pi*csgn(I*x/(x-2)*ln(x)*(x-1))^3+2*Pi*csgn(I*x/(x-2)*ln(x)*(x-1))^2-Pi*csgn(I*x/(x-2)*ln(x)*(x-1))^2*csgn(I*x)-2*Pi-2*I*ln(x-2)+2*I*ln(2)+2*I*ln(x-1)+2*I*ln(ln(x))+2*I*ln(x))^2","C"
8050,1,22,19,0.050000," ","int((-19*x^2*ln(81*x^4)-95*x^2+102*x)*exp((-19*x+25)*ln(81*x^4)-19*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \left(81 x^{4}\right)^{-19 x +25} {\mathrm e}^{-19 x +25}$&$22$\\ default&$x^{2} {\mathrm e}^{\left(-19 x +25\right) \ln \left(81 x^{4}\right)-19 x +25}$&$23$\\ norman&$x^{2} {\mathrm e}^{\left(-19 x +25\right) \ln \left(81 x^{4}\right)-19 x +25}$&$23$\\ \hline \end{longtable}"," ",0,"x^2*(81*x^4)^(-19*x+25)*exp(-19*x+25)","A"
8051,1,344,27,0.254000," ","int(((8*x^7+28*x^6+36*x^5+20*x^4+4*x^3)*ln(x)^4+(36*x^8+132*x^7+184*x^6+120*x^5+36*x^4+4*x^3)*ln(x)^3+((-8*x^5-16*x^4-16*x^3-12*x^2-4*x)*exp(x^2)^2+(-8*x^3-12*x^2-4*x)*exp(16)+60*x^9+228*x^8+336*x^7+240*x^6+84*x^5+12*x^4)*ln(x)^2+((-16*x^6-32*x^5-36*x^4-36*x^3-20*x^2-4*x)*exp(x^2)^2+(-20*x^4-36*x^3-20*x^2-4*x)*exp(16)+44*x^10+172*x^9+264*x^8+200*x^7+76*x^6+12*x^5)*ln(x)+8*x*exp(x^2)^4+(8*x*exp(16)-8*x^7-16*x^6-20*x^5-24*x^4-16*x^3-4*x^2)*exp(x^2)^2+(-12*x^5-24*x^4-16*x^3-4*x^2)*exp(16)+12*x^11+48*x^10+76*x^9+60*x^8+24*x^7+4*x^6)*exp((x^8+4*x^7+6*x^6+4*x^5+x^4)*ln(x)^4+(4*x^9+16*x^8+24*x^7+16*x^6+4*x^5)*ln(x)^3+((-2*x^4-4*x^3-2*x^2)*exp(x^2)^2+(-2*x^4-4*x^3-2*x^2)*exp(16)+6*x^10+24*x^9+36*x^8+24*x^7+6*x^6)*ln(x)^2+((-4*x^5-8*x^4-4*x^3)*exp(x^2)^2+(-4*x^5-8*x^4-4*x^3)*exp(16)+4*x^11+16*x^10+24*x^9+16*x^8+4*x^7)*ln(x)+exp(x^2)^4+(2*exp(16)-2*x^6-4*x^5-2*x^4)*exp(x^2)^2+exp(16)^2+(-2*x^6-4*x^5-2*x^4)*exp(16)+x^12+4*x^11+6*x^10+4*x^9+x^8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{-4 \left(-x^{6}-2 x^{5}-x^{4}+{\mathrm e}^{2 x^{2}}+{\mathrm e}^{16}\right) \left(x +1\right)^{2} x^{3}} {\mathrm e}^{16 x^{8} \ln \left(x \right)^{3}+24 x^{9} \ln \left(x \right)^{2}+24 x^{7} \ln \left(x \right)^{2}+24 x^{7} \ln \left(x \right)^{3}+4 x^{9} \ln \left(x \right)^{3}+6 x^{10} \ln \left(x \right)^{2}+6 x^{6} \ln \left(x \right)^{4}+4 x^{7} \ln \left(x \right)^{4}+4 x^{11}+x^{12}+x^{8}+6 x^{10}+4 x^{9}+36 x^{8} \ln \left(x \right)^{2}+6 x^{6} \ln \left(x \right)^{2}+16 x^{6} \ln \left(x \right)^{3}+4 x^{5} \ln \left(x \right)^{3}+4 x^{5} \ln \left(x \right)^{4}+{\mathrm e}^{32}+x^{8} \ln \left(x \right)^{4}+x^{4} \ln \left(x \right)^{4}+{\mathrm e}^{4 x^{2}}-2 \,{\mathrm e}^{2 x^{2}} x^{6}-4 \,{\mathrm e}^{2 x^{2}} x^{5}-2 \,{\mathrm e}^{2 x^{2}} x^{4}-2 \,{\mathrm e}^{16} x^{4}-4 \,{\mathrm e}^{16} x^{5}-2 \,{\mathrm e}^{16} x^{6}-2 \ln \left(x \right)^{2} {\mathrm e}^{16} x^{4}-4 \ln \left(x \right)^{2} {\mathrm e}^{16} x^{3}-2 \ln \left(x \right)^{2} {\mathrm e}^{16} x^{2}-2 \ln \left(x \right)^{2} {\mathrm e}^{2 x^{2}} x^{4}-4 \ln \left(x \right)^{2} {\mathrm e}^{2 x^{2}} x^{3}-2 \ln \left(x \right)^{2} {\mathrm e}^{2 x^{2}} x^{2}+2 \,{\mathrm e}^{2 x^{2}+16}}$&$344$\\ \hline \end{longtable}"," ",0,"x^(-4*(-x^6-2*x^5-x^4+exp(2*x^2)+exp(16))*(x+1)^2*x^3)*exp(16*x^8*ln(x)^3+24*x^9*ln(x)^2+24*x^7*ln(x)^2+24*x^7*ln(x)^3+4*x^9*ln(x)^3+6*x^10*ln(x)^2+6*x^6*ln(x)^4+4*x^7*ln(x)^4+4*x^11+x^12+x^8+6*x^10+4*x^9+36*x^8*ln(x)^2+6*x^6*ln(x)^2+16*x^6*ln(x)^3+4*x^5*ln(x)^3+4*x^5*ln(x)^4+exp(32)+x^8*ln(x)^4+x^4*ln(x)^4+exp(4*x^2)-2*exp(2*x^2)*x^6-4*exp(2*x^2)*x^5-2*exp(2*x^2)*x^4-2*exp(16)*x^4-4*exp(16)*x^5-2*exp(16)*x^6-2*ln(x)^2*exp(16)*x^4-4*ln(x)^2*exp(16)*x^3-2*ln(x)^2*exp(16)*x^2-2*ln(x)^2*exp(2*x^2)*x^4-4*ln(x)^2*exp(2*x^2)*x^3-2*ln(x)^2*exp(2*x^2)*x^2+2*exp(2*x^2+16))","B"
8052,1,27,27,0.315000," ","int((((-x^3-x^2+6*x-6)*exp(4)+x^4+x^3-6*x^2+6*x)*exp(x)-2*x*exp(4))/(x^2*exp(4)-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x -{\mathrm e}^{4}\right)-2 \ln \left(x \right)-\frac{\left(x^{2}-6\right) {\mathrm e}^{x}}{x}$&$27$\\ norman&$\frac{-{\mathrm e}^{x} x^{2}+6 \,{\mathrm e}^{x}}{x}-2 \ln \left(x \right)+2 \ln \left({\mathrm e}^{4}-x \right)$&$31$\\ default&$-{\mathrm e}^{x} x -{\mathrm e}^{4} {\mathrm e}^{x}+{\mathrm e}^{8} {\mathrm e}^{{\mathrm e}^{4}} \expIntegralEi \left(1, {\mathrm e}^{4}-x \right)-2 \ln \left(x \right)+2 \ln \left(x -{\mathrm e}^{4}\right)-6 \,{\mathrm e}^{4} \left(-{\mathrm e}^{-8} \expIntegralEi \left(1, -x \right)+{\mathrm e}^{-4} \left(-\frac{{\mathrm e}^{x}}{x}-\expIntegralEi \left(1, -x \right)\right)+{\mathrm e}^{-8} {\mathrm e}^{{\mathrm e}^{4}} \expIntegralEi \left(1, {\mathrm e}^{4}-x \right)\right)-6 \,{\mathrm e}^{-4} \expIntegralEi \left(1, -x \right)+6 \,{\mathrm e}^{-4} {\mathrm e}^{{\mathrm e}^{4}} \expIntegralEi \left(1, {\mathrm e}^{4}-x \right)-6 \,{\mathrm e}^{{\mathrm e}^{4}} \expIntegralEi \left(1, {\mathrm e}^{4}-x \right)+6 \,{\mathrm e}^{4} \left(-{\mathrm e}^{-4} \expIntegralEi \left(1, -x \right)+{\mathrm e}^{-4} {\mathrm e}^{{\mathrm e}^{4}} \expIntegralEi \left(1, {\mathrm e}^{4}-x \right)\right)-{\mathrm e}^{4} \left(-{\mathrm e}^{x}+{\mathrm e}^{4} {\mathrm e}^{{\mathrm e}^{4}} \expIntegralEi \left(1, {\mathrm e}^{4}-x \right)\right)$&$188$\\ \hline \end{longtable}"," ",0,"2*ln(x-exp(4))-2*ln(x)-(x^2-6)/x*exp(x)","A"
8053,1,16,21,0.039000," ","int((-256*x^2*exp(1)^2*exp(64*x^2*exp(1)^2)-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \,{\mathrm e}^{64 x^{2} {\mathrm e}^{2}}-\ln \left(x \right)$&$16$\\ norman&$-2 \,{\mathrm e}^{64 x^{2} {\mathrm e}^{2}}-\ln \left(x \right)$&$18$\\ default&$-2 \,{\mathrm e}^{64 x^{2} {\mathrm e}^{2}}-\ln \left(x \right)$&$19$\\ \hline \end{longtable}"," ",0,"-2*exp(64*x^2*exp(2))-ln(x)","A"
8054,1,30,28,0.412000," ","int(((100*x^6+1725*x^5+7380*x^4-745*x^3-8380*x^2-29600*x)*ln((4*x+37)/(x+8))-125*x^5-25*x^3-250*x^2)/(100*x^8+1725*x^7+7440*x^6+1090*x^5+9864*x^4+29749*x^3+2076*x^2+12820*x+29600)/ln((4*x+37)/(x+8))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 x^{2}}{\left(5 x^{3}+x +10\right) \ln \left(\frac{4 x +37}{x +8}\right)}$&$30$\\ \hline \end{longtable}"," ",0,"-5*x^2/(5*x^3+x+10)/ln((4*x+37)/(x+8))","A"
8055,1,72,22,0.125000," ","int((((-16*x-32)*ln(1/x^2)+16*x^2+32*x-8)*ln(x)-4)*exp(ln(1/x^2)^2-2*x*ln(1/x^2)+x^2)^2/x^3/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{\frac{\left(-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+4 \ln \left(x \right)+2 x \right)^{2}}{2}}}{x^{2} \ln \left(x \right)}$&$72$\\ \hline \end{longtable}"," ",0,"4/x^2/ln(x)*exp(1/2*(-I*Pi*csgn(I*x^2)^3+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x)^2*csgn(I*x^2)+4*ln(x)+2*x)^2)","C"
8056,1,7,18,0.014000," ","int(14*exp(14*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{14 x +9}$&$7$\\ derivativedivides&${\mathrm e}^{14 x +9}$&$7$\\ default&${\mathrm e}^{14 x +9}$&$7$\\ norman&${\mathrm e}^{14 x +9}$&$7$\\ risch&${\mathrm e}^{14 x +9}$&$7$\\ meijerg&$-{\mathrm e}^{9} \left(1-{\mathrm e}^{14 x}\right)$&$13$\\ \hline \end{longtable}"," ",0,"exp(14*x+9)","A"
8057,0,0,23,180.000000," ","int((((2*x^3-18*x^2+40*x)*exp(x)^2+(4*x^2-16*x)*exp(x))*ln(3/2*x)^2+((2*x^2-20*x+50)*exp(x)^2+(2*x^2-40)*exp(x)+8)*ln(3/2*x)+(2*x-10)*exp(x)+4)*exp(((x^2-10*x+25)*exp(x)^2+(4*x-20)*exp(x)+4)*ln(3/2*x)^2+((2*x-10)*exp(x)+4)*ln(3/2*x)+1)/x,x)","\[\int \frac{\left(\left(\left(2 x^{3}-18 x^{2}+40 x \right) {\mathrm e}^{2 x}+\left(4 x^{2}-16 x \right) {\mathrm e}^{x}\right) \ln \left(\frac{3 x}{2}\right)^{2}+\left(\left(2 x^{2}-20 x +50\right) {\mathrm e}^{2 x}+\left(2 x^{2}-40\right) {\mathrm e}^{x}+8\right) \ln \left(\frac{3 x}{2}\right)+\left(2 x -10\right) {\mathrm e}^{x}+4\right) {\mathrm e}^{\left(\left(x^{2}-10 x +25\right) {\mathrm e}^{2 x}+\left(4 x -20\right) {\mathrm e}^{x}+4\right) \ln \left(\frac{3 x}{2}\right)^{2}+\left(\left(2 x -10\right) {\mathrm e}^{x}+4\right) \ln \left(\frac{3 x}{2}\right)+1}}{x}\, dx\]"," ",0,"int((((2*x^3-18*x^2+40*x)*exp(x)^2+(4*x^2-16*x)*exp(x))*ln(3/2*x)^2+((2*x^2-20*x+50)*exp(x)^2+(2*x^2-40)*exp(x)+8)*ln(3/2*x)+(2*x-10)*exp(x)+4)*exp(((x^2-10*x+25)*exp(x)^2+(4*x-20)*exp(x)+4)*ln(3/2*x)^2+((2*x-10)*exp(x)+4)*ln(3/2*x)+1)/x,x)","F"
8058,1,622,40,0.702000," ","int((-16*x*ln(x)+2*x^2-80*x-32)/((4*x^3+32*x^2+64*x)*ln(x)^2+(39*x^3+320*x^2+656*x)*ln(x)+95*x^3+800*x^2+1680*x)/ln(((64*x^2+512*x+1024)*ln(x)^2+(608*x^2+5120*x+10752)*ln(x)+1444*x^2+12768*x+28224)/((x^2+8*x+16)*ln(x)^2+(10*x^2+80*x+160)*ln(x)+25*x^2+200*x+400)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{\left(4+x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)^{2}}{\left(5+\ln \left(x \right)\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)^{2}}{\left(4+x \right)^{2} \left(5+\ln \left(x \right)\right)^{2}}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{\left(4+x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)^{2}}{\left(4+x \right)^{2} \left(5+\ln \left(x \right)\right)^{2}}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{\left(5+\ln \left(x \right)\right)^{2}}\right) \mathrm{csgn}\left(i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)^{2}}{\left(5+\ln \left(x \right)\right)^{2}}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{\left(5+\ln \left(x \right)\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)^{2}}{\left(5+\ln \left(x \right)\right)^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(5+\ln \left(x \right)\right)\right)^{2} \mathrm{csgn}\left(i \left(5+\ln \left(x \right)\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(5+\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left(5+\ln \left(x \right)\right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(5+\ln \left(x \right)\right)^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)\right)^{2} \mathrm{csgn}\left(i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)\right) \mathrm{csgn}\left(i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)^{2}}{\left(5+\ln \left(x \right)\right)^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)^{2}}{\left(5+\ln \left(x \right)\right)^{2}}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)^{2}}{\left(5+\ln \left(x \right)\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)^{2}}{\left(4+x \right)^{2} \left(5+\ln \left(x \right)\right)^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)+\frac{19}{4}\right) x +4 \ln \left(x \right)+21\right)^{2}}{\left(4+x \right)^{2} \left(5+\ln \left(x \right)\right)^{2}}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(4+x \right)\right)^{2} \mathrm{csgn}\left(i \left(4+x \right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(i \left(4+x \right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(4+x \right)^{2}\right)^{3}+12 i \ln \left(2\right)-4 i \ln \left(5+\ln \left(x \right)\right)-4 i \ln \left(4+x \right)\right)}{4}\right)$&$622$\\ \hline \end{longtable}"," ",0,"ln(ln((ln(x)+19/4)*x+4*ln(x)+21)-1/4*I*(Pi*csgn(I/(4+x)^2)*csgn(I/(5+ln(x))^2*((ln(x)+19/4)*x+4*ln(x)+21)^2)*csgn(I/(4+x)^2*((ln(x)+19/4)*x+4*ln(x)+21)^2/(5+ln(x))^2)-Pi*csgn(I/(4+x)^2)*csgn(I/(4+x)^2*((ln(x)+19/4)*x+4*ln(x)+21)^2/(5+ln(x))^2)^2+Pi*csgn(I/(5+ln(x))^2)*csgn(I*((ln(x)+19/4)*x+4*ln(x)+21)^2)*csgn(I/(5+ln(x))^2*((ln(x)+19/4)*x+4*ln(x)+21)^2)-Pi*csgn(I/(5+ln(x))^2)*csgn(I/(5+ln(x))^2*((ln(x)+19/4)*x+4*ln(x)+21)^2)^2-Pi*csgn(I*(5+ln(x)))^2*csgn(I*(5+ln(x))^2)+2*Pi*csgn(I*(5+ln(x)))*csgn(I*(5+ln(x))^2)^2-Pi*csgn(I*(5+ln(x))^2)^3+Pi*csgn(I*((ln(x)+19/4)*x+4*ln(x)+21))^2*csgn(I*((ln(x)+19/4)*x+4*ln(x)+21)^2)-2*Pi*csgn(I*((ln(x)+19/4)*x+4*ln(x)+21))*csgn(I*((ln(x)+19/4)*x+4*ln(x)+21)^2)^2+Pi*csgn(I*((ln(x)+19/4)*x+4*ln(x)+21)^2)^3-Pi*csgn(I*((ln(x)+19/4)*x+4*ln(x)+21)^2)*csgn(I/(5+ln(x))^2*((ln(x)+19/4)*x+4*ln(x)+21)^2)^2+Pi*csgn(I/(5+ln(x))^2*((ln(x)+19/4)*x+4*ln(x)+21)^2)^3-Pi*csgn(I/(5+ln(x))^2*((ln(x)+19/4)*x+4*ln(x)+21)^2)*csgn(I/(4+x)^2*((ln(x)+19/4)*x+4*ln(x)+21)^2/(5+ln(x))^2)^2+Pi*csgn(I/(4+x)^2*((ln(x)+19/4)*x+4*ln(x)+21)^2/(5+ln(x))^2)^3-Pi*csgn(I*(4+x))^2*csgn(I*(4+x)^2)+2*Pi*csgn(I*(4+x))*csgn(I*(4+x)^2)^2-Pi*csgn(I*(4+x)^2)^3+12*I*ln(2)-4*I*ln(5+ln(x))-4*I*ln(4+x)))","C"
8059,1,21,21,0.145000," ","int((-77*ln(x)^2+(-154*x*exp(1)-154*x^2)*ln(x)-77*x^2*exp(1)^2+(-154*x^3+1925*x^2)*exp(1)-77*x^4+3850*x^3+1925*x)/(4*x^2*ln(x)^2+(8*x^3*exp(1)+8*x^4)*ln(x)+4*x^4*exp(1)^2+8*x^5*exp(1)+4*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{77}{4 x}-\frac{1925}{4 \left(x \,{\mathrm e}+x^{2}+\ln \left(x \right)\right)}$&$21$\\ norman&$\frac{\left(-\frac{1925}{4}+\frac{77 \,{\mathrm e}}{4}\right) x +\frac{77 x^{2}}{4}+\frac{77 \ln \left(x \right)}{4}}{x \left(x \,{\mathrm e}+x^{2}+\ln \left(x \right)\right)}$&$35$\\ \hline \end{longtable}"," ",0,"77/4/x-1925/4/(x*exp(1)+x^2+ln(x))","A"
8060,1,28,29,0.072000," ","int(1/3*((-2*x^2+1)*exp(2*x^2)+3*x*exp(5)+2*x^4-4*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{3}-\frac{4 x}{3}-\frac{{\mathrm e}^{5}}{x}-\frac{{\mathrm e}^{2 x^{2}}}{6 x^{2}}$&$28$\\ risch&$\frac{x^{2}}{3}-\frac{4 x}{3}-\frac{{\mathrm e}^{5}}{x}-\frac{{\mathrm e}^{2 x^{2}}}{6 x^{2}}$&$28$\\ norman&$\frac{-\frac{4 x^{3}}{3}+\frac{x^{4}}{3}-x \,{\mathrm e}^{5}-\frac{{\mathrm e}^{2 x^{2}}}{6}}{x^{2}}$&$29$\\ \hline \end{longtable}"," ",0,"-4/3*x-1/6*exp(x^2)^2/x^2+1/3*x^2-exp(5)/x","A"
8061,1,14,16,0.314000," ","int((-12*x+8)/(2*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(2 x -1\right)-8 \ln \left(x \right)$&$14$\\ norman&$2 \ln \left(2 x -1\right)-8 \ln \left(x \right)$&$14$\\ risch&$2 \ln \left(2 x -1\right)-8 \ln \left(x \right)$&$14$\\ meijerg&$-8 \ln \left(x \right)-8 \ln \left(2\right)-8 i \pi +2 \ln \left(1-2 x \right)$&$22$\\ \hline \end{longtable}"," ",0,"2*ln(2*x-1)-8*ln(x)","A"
8062,1,81,27,0.126000," ","int((-4*x^10-80*x^9-516*x^8-1008*x^7+912*x^6+1248*x^5-6720*x^4+4032*x^3+1536*x^2-1664*x+320)*exp(1)^4/(x^15-5*x^14+5*x^13+25*x^11-31*x^10-25*x^9-60*x^8+75*x^7+95*x^6+119*x^5-50*x^4-120*x^3-160*x^2-80*x-32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \,{\mathrm e}^{4} \left(\frac{2500}{2401 \left(x -2\right)^{4}}+\frac{6000}{16807 \left(x -2\right)^{3}}-\frac{45600}{117649 \left(x -2\right)^{2}}+\frac{123360}{823543 \left(x -2\right)}+\frac{-\frac{123360}{823543} x^{7}-\frac{420960}{823543} x^{6}-\frac{454320}{823543} x^{5}+\frac{4545543}{3294172} x^{4}+\frac{3863418}{823543} x^{3}+\frac{461016}{117649} x^{2}-\frac{678192}{823543} x +\frac{330522}{823543}}{\left(x^{2}+x +1\right)^{4}}\right)$&$81$\\ norman&$\frac{160 x^{5} {\mathrm e}^{4}+88 x^{6} {\mathrm e}^{4}+16 x^{7} {\mathrm e}^{4}-104 x^{4} {\mathrm e}^{4}+x^{8} {\mathrm e}^{4}-320 x^{3} {\mathrm e}^{4}-128 x \,{\mathrm e}^{4}+352 x^{2} {\mathrm e}^{4}+16 \,{\mathrm e}^{4}}{\left(x^{3}-x^{2}-x -2\right)^{4}}$&$93$\\ risch&$\frac{\left(x^{8}+16 x^{7}+88 x^{6}+160 x^{5}-104 x^{4}-320 x^{3}+352 x^{2}-128 x +16\right) {\mathrm e}^{4}}{x^{12}-4 x^{11}+2 x^{10}+19 x^{8}-8 x^{7}-14 x^{6}-44 x^{5}+x^{4}+24 x^{3}+56 x^{2}+32 x +16}$&$95$\\ gosper&$\frac{\left(x^{8}+16 x^{7}+88 x^{6}+160 x^{5}-104 x^{4}-320 x^{3}+352 x^{2}-128 x +16\right) {\mathrm e}^{4}}{x^{12}-4 x^{11}+2 x^{10}+19 x^{8}-8 x^{7}-14 x^{6}-44 x^{5}+x^{4}+24 x^{3}+56 x^{2}+32 x +16}$&$97$\\ \hline \end{longtable}"," ",0,"4*exp(1)^4*(2500/2401/(x-2)^4+6000/16807/(x-2)^3-45600/117649/(x-2)^2+123360/823543/(x-2)+3/823543*(-41120*x^7-140320*x^6-151440*x^5+1515181/4*x^4+1287806*x^3+1075704*x^2-226064*x+110174)/(x^2+x+1)^4)","B"
8063,1,21,25,0.032000," ","int(1/5*(5*exp(2*ln(2)+x^2-4)+20*x*ln(2)-2*x^2+50*x+1)/exp(2*ln(2)+x^2-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(-10 \ln \left(2\right)-25+x \right) {\mathrm e}^{-\left(x -2\right) \left(2+x \right)}}{20}$&$21$\\ norman&$\frac{\left(x \,{\mathrm e}^{2 \ln \left(2\right)+x^{2}-4}+\frac{x}{5}-2 \ln \left(2\right)-5\right) {\mathrm e}^{-x^{2}+4}}{4}$&$35$\\ default&$x +\frac{{\mathrm e}^{4} \sqrt{\pi}\, \erf \left(x \right)}{40}-\frac{5 \,{\mathrm e}^{-x^{2}} {\mathrm e}^{4}}{4}-\frac{{\mathrm e}^{4} \left(-\frac{x \,{\mathrm e}^{-x^{2}}}{2}+\frac{\sqrt{\pi}\, \erf \left(x \right)}{4}\right)}{10}-\frac{{\mathrm e}^{4} \ln \left(2\right) {\mathrm e}^{-x^{2}}}{2}$&$63$\\ \hline \end{longtable}"," ",0,"x+1/20*(-10*ln(2)-25+x)*exp(-(x-2)*(2+x))","A"
8064,1,15,14,0.059000," ","int(1/2*(10*ln(x^2)+x*ln(x)^2-20*ln(x))/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{2}-\frac{5 \ln \left(x^{2}\right)}{\ln \left(x \right)}$&$15$\\ norman&$\frac{\frac{x \ln \left(x \right)}{2}-5 \ln \left(x^{2}\right)}{\ln \left(x \right)}$&$18$\\ risch&$\frac{x}{2}+\frac{5 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(\mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{2 \ln \left(x \right)}$&$51$\\ \hline \end{longtable}"," ",0,"1/2*x-5/ln(x)*ln(x^2)","A"
8065,1,17,18,0.046000," ","int(((-8*x^2+10*x-2)*ln(x-1)+36*x^2-42*x+8)/((x-1)*ln(x-1)^2+(-8*x+8)*ln(x-1)+16*x-16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x \left(2 x -1\right)}{\ln \left(x -1\right)-4}$&$17$\\ norman&$\frac{-4 x^{2}+2 x}{\ln \left(x -1\right)-4}$&$19$\\ \hline \end{longtable}"," ",0,"-2*x*(2*x-1)/(ln(x-1)-4)","A"
8066,1,45,18,0.056000," ","int((((4*x*exp(x)*ln(x)+4*exp(x)*x^2)*exp(exp(x))*exp(exp(exp(x))-1)-16*x-16)*exp(exp(exp(exp(x))-1))+x*ln(x)^5+5*x^2*ln(x)^4+10*x^3*ln(x)^3+10*x^4*ln(x)^2+5*x^5*ln(x)+x^6)/(x*ln(x)^5+5*x^2*ln(x)^4+10*x^3*ln(x)^3+10*x^4*ln(x)^2+5*x^5*ln(x)+x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{4 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}-1}}}{x^{4}+4 x^{3} \ln \left(x \right)+6 x^{2} \ln \left(x \right)^{2}+4 x \ln \left(x \right)^{3}+\ln \left(x \right)^{4}}$&$45$\\ \hline \end{longtable}"," ",0,"x+4/(x^4+4*x^3*ln(x)+6*x^2*ln(x)^2+4*x*ln(x)^3+ln(x)^4)*exp(exp(exp(exp(x))-1))","B"
8067,1,30,28,0.308000," ","int(((-12*x+4)*exp(exp(1)^2-x)^2+(-9*x^4-12*x^2)*exp(exp(1)^2-x)+9*x^4)/(4*exp(exp(1)^2-x)^2-12*x^2*exp(exp(1)^2-x)+9*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 x^{2}}{2}+x +\frac{9 x^{4}}{2 \left(3 x^{2}-2 \,{\mathrm e}^{{\mathrm e}^{2}-x}\right)}$&$30$\\ norman&$\frac{3 x^{3}-2 x \,{\mathrm e}^{{\mathrm e}^{2}-x}+3 x^{2} {\mathrm e}^{{\mathrm e}^{2}-x}}{3 x^{2}-2 \,{\mathrm e}^{{\mathrm e}^{2}-x}}$&$53$\\ \hline \end{longtable}"," ",0,"-3/2*x^2+x+9/2*x^4/(3*x^2-2*exp(exp(2)-x))","A"
8068,1,41,30,0.083000," ","int(((((-10*exp(3)+10*x)*exp(x)+18*exp(3)-18*x)*ln(-x+exp(3))^2+((-40*x*exp(3)+40*x^2+20*x)*exp(x)+72*x*exp(3)-72*x^2-36*x)*ln(-x+exp(3))+((-30*x^2+20*x)*exp(3)+30*x^3)*exp(x)+(54*x^2-36*x)*exp(3)-54*x^3)*ln(5*exp(x)-9)+(10*x*exp(3)-10*x^2)*exp(x)*ln(-x+exp(3))^2+(20*x^2*exp(3)-20*x^3)*exp(x)*ln(-x+exp(3))+((10*x^3-10*x^2)*exp(3)-10*x^4+10*x^3)*exp(x))/(((5*x^2*exp(3)-5*x^3)*exp(x)-9*x^2*exp(3)+9*x^3)*ln(-x+exp(3))^4+((20*x^3*exp(3)-20*x^4)*exp(x)-36*x^3*exp(3)+36*x^4)*ln(-x+exp(3))^3+(((30*x^4-10*x^3)*exp(3)-30*x^5+10*x^4)*exp(x)+(-54*x^4+18*x^3)*exp(3)+54*x^5-18*x^4)*ln(-x+exp(3))^2+(((20*x^5-20*x^4)*exp(3)-20*x^6+20*x^5)*exp(x)+(-36*x^5+36*x^4)*exp(3)+36*x^6-36*x^5)*ln(-x+exp(3))+((5*x^6-10*x^5+5*x^4)*exp(3)-5*x^7+10*x^6-5*x^5)*exp(x)+(-9*x^6+18*x^5-9*x^4)*exp(3)+9*x^7-18*x^6+9*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(5 \,{\mathrm e}^{x}-9\right)}{x \left(x^{2}+2 x \ln \left(-x +{\mathrm e}^{3}\right)+\ln \left(-x +{\mathrm e}^{3}\right)^{2}-x \right)}$&$41$\\ \hline \end{longtable}"," ",0,"2/x/(x^2+2*x*ln(-x+exp(3))+ln(-x+exp(3))^2-x)*ln(5*exp(x)-9)","A"
8069,1,76,25,0.054000," ","int(((-2*x^3+4*x^2-16*x)*ln(2*x^2)+(2*x^3-4*x^2+16*x)*ln(3)+2*x^4+10*x^3-28*x^2+144*x-128)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{64+x^{4}+x^{2} \ln \left(2 x^{2}\right)^{2}+\left(-112-16 \ln \left(3\right)\right) x +\left(14+2 \ln \left(3\right)\right) x^{3}+\left(-14-2 \ln \left(3\right)\right) x^{2} \ln \left(2 x^{2}\right)+16 x \ln \left(2 x^{2}\right)-2 x^{3} \ln \left(2 x^{2}\right)}{x^{2}}$&$76$\\ default&$14 x +x^{2}-28 \ln \left(x \right)-\frac{112}{x}+\frac{64}{x^{2}}-2 x \ln \left(2\right)+4 \ln \left(2\right) \ln \left(x \right)+\frac{16 \ln \left(2\right)}{x}+2 x \ln \left(3\right)-4 \ln \left(3\right) \ln \left(x \right)-\frac{16 \ln \left(3\right)}{x}-2 x \ln \left(x^{2}\right)+4 \ln \left(x \right) \ln \left(x^{2}\right)-4 \ln \left(x \right)^{2}+\frac{16 \ln \left(x^{2}\right)}{x}$&$88$\\ risch&$14 x +x^{2}-28 \ln \left(x \right)-\frac{112}{x}+\frac{64}{x^{2}}-2 x \ln \left(2\right)+4 \ln \left(2\right) \ln \left(x \right)+\frac{16 \ln \left(2\right)}{x}+2 x \ln \left(3\right)-4 \ln \left(3\right) \ln \left(x \right)-\frac{16 \ln \left(3\right)}{x}-2 x \ln \left(x^{2}\right)+4 \ln \left(x \right) \ln \left(x^{2}\right)-4 \ln \left(x \right)^{2}+\frac{16 \ln \left(x^{2}\right)}{x}$&$88$\\ \hline \end{longtable}"," ",0,"(64+x^4+x^2*ln(2*x^2)^2+(-112-16*ln(3))*x+(14+2*ln(3))*x^3+(-14-2*ln(3))*x^2*ln(2*x^2)+16*x*ln(2*x^2)-2*x^3*ln(2*x^2))/x^2","B"
8070,1,41,29,0.344000," ","int((2*(45*x^4+1434*x^3+11328*x^2-1536*x)*ln(2)-60*x^5-1911*x^4-15042*x^3+3021*x^2-96*x)/(x^2+32*x+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$30 x^{3} \ln \left(2\right)-15 x^{4}-6 x^{2} \ln \left(2\right)+3 x^{3}+15 x^{2}-243 x -\frac{62208}{x +16}$&$41$\\ risch&$30 x^{3} \ln \left(2\right)-15 x^{4}-6 x^{2} \ln \left(2\right)+3 x^{3}+15 x^{2}-243 x -\frac{62208}{x +16}$&$41$\\ gosper&$\frac{3 x^{2} \left(10 x^{2} \ln \left(2\right)-5 x^{3}+158 x \ln \left(2\right)-79 x^{2}-32 \ln \left(2\right)+21 x -1\right)}{x +16}$&$42$\\ norman&$\frac{\left(-3-96 \ln \left(2\right)\right) x^{2}+\left(63+474 \ln \left(2\right)\right) x^{3}+\left(30 \ln \left(2\right)-237\right) x^{4}-15 x^{5}}{x +16}$&$43$\\ meijerg&$16 \left(23040 \ln \left(2\right)-489216\right) \left(\frac{x \left(\frac{5}{4096} x^{3}-\frac{5}{128} x^{2}+\frac{15}{8} x +60\right)}{240+15 x}-4 \ln \left(1+\frac{x}{16}\right)\right)+16 \left(45888 \ln \left(2\right)-240672\right) \left(-\frac{x \left(-\frac{1}{128} x^{2}+\frac{3}{8} x +12\right)}{64 \left(1+\frac{x}{16}\right)}+3 \ln \left(1+\frac{x}{16}\right)\right)+16 \left(22656 \ln \left(2\right)+3021\right) \left(\frac{x \left(\frac{3 x}{16}+6\right)}{48+3 x}-2 \ln \left(1+\frac{x}{16}\right)\right)+16 \left(-192 \ln \left(2\right)-6\right) \left(-\frac{x}{16 \left(1+\frac{x}{16}\right)}+\ln \left(1+\frac{x}{16}\right)\right)+\frac{20480 x \left(-\frac{3}{65536} x^{4}+\frac{5}{4096} x^{3}-\frac{5}{128} x^{2}+\frac{15}{8} x +60\right)}{1+\frac{x}{16}}-19660800 \ln \left(1+\frac{x}{16}\right)$&$176$\\ \hline \end{longtable}"," ",0,"30*x^3*ln(2)-15*x^4-6*x^2*ln(2)+3*x^3+15*x^2-243*x-62208/(x+16)","A"
8071,1,106,33,0.163000," ","int((((2*x-2)*ln(2)^2-2*x^7-4*x^6-2*x^3)*exp(x)^2+((-2*x^2-4*x+12)*ln(2)^2+2*x^8+16*x^7+24*x^6+2*x^4+8*x^3)*exp(x)+(-6*x-18)*ln(2)^2-6*x^8-30*x^7-36*x^6-2*x^4-6*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{6}-6 x^{5}-9 x^{4}-x^{2}-6 x +\frac{6 x \ln \left(2\right)^{2}+9 \ln \left(2\right)^{2}}{x^{2}}+\frac{\left(\ln \left(2\right)^{2}-x^{2}-x^{6}\right) {\mathrm e}^{2 x}}{x^{2}}-\frac{2 \left(-x^{7}-3 x^{6}+x \ln \left(2\right)^{2}-x^{3}+3 \ln \left(2\right)^{2}-3 x^{2}\right) {\mathrm e}^{x}}{x^{2}}$&$106$\\ default&$-x^{6}-6 x^{5}-9 x^{4}-x^{2}-6 x -{\mathrm e}^{2 x}+\frac{9 \ln \left(2\right)^{2}}{x^{2}}+2 x^{5} {\mathrm e}^{x}+6 \,{\mathrm e}^{x} x^{4}+2 \,{\mathrm e}^{x} x +6 \,{\mathrm e}^{x}-{\mathrm e}^{2 x} x^{4}+\frac{6 \ln \left(2\right)^{2}}{x}-\frac{6 \ln \left(2\right)^{2} {\mathrm e}^{x}}{x^{2}}-\frac{2 \ln \left(2\right)^{2} {\mathrm e}^{x}}{x}+\frac{\ln \left(2\right)^{2} {\mathrm e}^{2 x}}{x^{2}}$&$115$\\ norman&$\frac{\ln \left(2\right)^{2} {\mathrm e}^{2 x}-6 x^{3}-x^{4}-9 x^{6}-6 x^{7}-x^{8}+9 \ln \left(2\right)^{2}+6 x \ln \left(2\right)^{2}+6 x^{6} {\mathrm e}^{x}-{\mathrm e}^{2 x} x^{6}+2 x^{7} {\mathrm e}^{x}+6 \,{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{x} x^{3}-{\mathrm e}^{2 x} x^{2}-6 \ln \left(2\right)^{2} {\mathrm e}^{x}-2 x \ln \left(2\right)^{2} {\mathrm e}^{x}}{x^{2}}$&$116$\\ \hline \end{longtable}"," ",0,"-x^6-6*x^5-9*x^4-x^2-6*x+(6*x*ln(2)^2+9*ln(2)^2)/x^2+(ln(2)^2-x^2-x^6)/x^2*exp(2*x)-2*(-x^7-3*x^6+x*ln(2)^2-x^3+3*ln(2)^2-3*x^2)/x^2*exp(x)","B"
8072,1,12,10,0.662000," ","int((20*x+2)/(10*x^2+2*x+45),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(10 x^{2}+2 x +45\right)$&$12$\\ default&$\ln \left(10 x^{2}+2 x +45\right)$&$12$\\ norman&$\ln \left(10 x^{2}+2 x +45\right)$&$12$\\ risch&$\ln \left(10 x^{2}+2 x +45\right)$&$12$\\ \hline \end{longtable}"," ",0,"ln(10*x^2+2*x+45)","A"
8073,1,41,29,0.056000," ","int(1/3*((-3*x^2-x+9)*exp(x)-18*x^2-24*x+51)*exp(1/3*exp(x)+2*x)+12*x^3+30*x^2+6*x-24,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-9 x^{2}-3 x +27\right) {\mathrm e}^{\frac{{\mathrm e}^{x}}{3}+2 x}}{3}+3 x^{4}+10 x^{3}+3 x^{2}-24 x$&$41$\\ default&$3 x^{4}+10 x^{3}+3 x^{2}-24 x -{\mathrm e}^{\frac{{\mathrm e}^{x}}{3}+2 x} x -3 \,{\mathrm e}^{\frac{{\mathrm e}^{x}}{3}+2 x} x^{2}+9 \,{\mathrm e}^{\frac{{\mathrm e}^{x}}{3}+2 x}$&$57$\\ norman&$3 x^{4}+10 x^{3}+3 x^{2}-24 x -{\mathrm e}^{\frac{{\mathrm e}^{x}}{3}+2 x} x -3 \,{\mathrm e}^{\frac{{\mathrm e}^{x}}{3}+2 x} x^{2}+9 \,{\mathrm e}^{\frac{{\mathrm e}^{x}}{3}+2 x}$&$57$\\ \hline \end{longtable}"," ",0,"1/3*(-9*x^2-3*x+27)*exp(1/3*exp(x)+2*x)+3*x^4+10*x^3+3*x^2-24*x","A"
8074,1,22,21,0.066000," ","int(((2*x^3-2*x)*exp(x)+2*x^2+2)*exp(exp(x))*exp((-2*x^2+2)*exp(exp(x))/x/ln(2))/x^2/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-\frac{2 \left(x -1\right) \left(x +1\right) {\mathrm e}^{{\mathrm e}^{x}}}{x \ln \left(2\right)}}$&$22$\\ \hline \end{longtable}"," ",0,"-exp(-2*(x-1)*(x+1)*exp(exp(x))/x/ln(2))","A"
8075,1,19,23,0.085000," ","int(((2*exp(x)*x^3-2*exp(5)+2)*exp(exp(x))^2+(-2*x+8)*exp(5)+x^3+2*x-8)/(x^3*exp(exp(x))^2+x^4-4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{5}-1}{x^{2}}+\ln \left({\mathrm e}^{2 \,{\mathrm e}^{x}}+x -4\right)$&$19$\\ risch&$\frac{{\mathrm e}^{5}}{x^{2}}-\frac{1}{x^{2}}+\ln \left({\mathrm e}^{2 \,{\mathrm e}^{x}}+x -4\right)$&$22$\\ \hline \end{longtable}"," ",0,"(exp(5)-1)/x^2+ln(exp(exp(x))^2+x-4)","A"
8076,1,29,27,0.186000," ","int(((-200*x*ln(x)^2-100*x*ln(x)-25*x)*exp(1/12*(4*ln(x)+3)/ln(x))+(40*x*ln(2)-200*x)*ln(x)^2+(20*x*ln(2)-100*x)*ln(x))/(100*ln(x)*exp(1/12*(4*ln(x)+3)/ln(x))^2+(-40*ln(2)+200)*ln(x)*exp(1/12*(4*ln(x)+3)/ln(x))+(4*ln(2)^2-40*ln(2)+100)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 x^{2} \ln \left(x \right)}{-5+\ln \left(2\right)-5 \,{\mathrm e}^{\frac{4 \ln \left(x \right)+3}{12 \ln \left(x \right)}}}$&$29$\\ risch&$\frac{5 x^{2} \ln \left(x \right)}{-5+\ln \left(2\right)-5 \,{\mathrm e}^{\frac{4 \ln \left(x \right)+3}{12 \ln \left(x \right)}}}$&$29$\\ \hline \end{longtable}"," ",0,"5*x^2*ln(x)/(-5+ln(2)-5*exp(1/12*(4*ln(x)+3)/ln(x)))","A"
8077,1,13,13,0.020000," ","int((exp(x)*x^3+2*x^4+x^3-5)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+x +\frac{5}{2 x^{2}}+{\mathrm e}^{x}$&$13$\\ risch&$x^{2}+x +\frac{5}{2 x^{2}}+{\mathrm e}^{x}$&$13$\\ norman&$\frac{\frac{5}{2}+{\mathrm e}^{x} x^{2}+x^{4}+x^{3}}{x^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"x^2+x+5/2/x^2+exp(x)","A"
8078,1,187,22,0.390000," ","int((-5*x*ln(x)*ln(ln(x))^2+30*x*ln(x)*ln(ln(x))-40*x*ln(x)+5*ln(2)+15-10*x)/(x^2*ln(x)*ln(ln(x))^2+(x*ln(2)-6*x^2+3*x)*ln(x)*ln(ln(x))+(-2*x*ln(2)+8*x^2-6*x)*ln(x))/ln((x*ln(ln(x))+ln(2)+3-4*x)/(ln(ln(x))-2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10 i}{\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x \right)\right)-2}\right) \mathrm{csgn}\left(i \left(\left(\ln \left(\ln \left(x \right)\right)-4\right) x +3+\ln \left(2\right)\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(\ln \left(x \right)\right)-4\right) x +3+\ln \left(2\right)\right)}{\ln \left(\ln \left(x \right)\right)-2}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left(x \right)\right)-2}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(\ln \left(x \right)\right)-4\right) x +3+\ln \left(2\right)\right)}{\ln \left(\ln \left(x \right)\right)-2}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\left(\ln \left(\ln \left(x \right)\right)-4\right) x +3+\ln \left(2\right)\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(\ln \left(x \right)\right)-4\right) x +3+\ln \left(2\right)\right)}{\ln \left(\ln \left(x \right)\right)-2}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(\ln \left(x \right)\right)-4\right) x +3+\ln \left(2\right)\right)}{\ln \left(\ln \left(x \right)\right)-2}\right)^{3}-2 i \ln \left(\ln \left(\ln \left(x \right)\right)-2\right)+2 i \ln \left(\left(\ln \left(\ln \left(x \right)\right)-4\right) x +3+\ln \left(2\right)\right)}$&$187$\\ \hline \end{longtable}"," ",0,"10*I/(Pi*csgn(I/(ln(ln(x))-2))*csgn(I*((ln(ln(x))-4)*x+3+ln(2)))*csgn(I/(ln(ln(x))-2)*((ln(ln(x))-4)*x+3+ln(2)))-Pi*csgn(I/(ln(ln(x))-2))*csgn(I/(ln(ln(x))-2)*((ln(ln(x))-4)*x+3+ln(2)))^2-Pi*csgn(I*((ln(ln(x))-4)*x+3+ln(2)))*csgn(I/(ln(ln(x))-2)*((ln(ln(x))-4)*x+3+ln(2)))^2+Pi*csgn(I/(ln(ln(x))-2)*((ln(ln(x))-4)*x+3+ln(2)))^3-2*I*ln(ln(ln(x))-2)+2*I*ln((ln(ln(x))-4)*x+3+ln(2)))","C"
8079,1,27,23,0.036000," ","int(1/80*(-32*x^3+48*x^2-16*x)*exp(5)+7/80*x^6-3/20*x^5+1/16*x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x^{2} \left(-x^{4}+x^{3}+8 x \,{\mathrm e}^{5}-8 \,{\mathrm e}^{5}\right) \left(x -1\right)}{80}$&$27$\\ default&$\frac{{\mathrm e}^{5} \left(-8 x^{4}+16 x^{3}-8 x^{2}\right)}{80}+\frac{x^{7}}{80}-\frac{x^{6}}{40}+\frac{x^{5}}{80}$&$37$\\ norman&$\frac{x^{5}}{80}-\frac{x^{6}}{40}+\frac{x^{7}}{80}-\frac{x^{2} {\mathrm e}^{5}}{10}+\frac{x^{3} {\mathrm e}^{5}}{5}-\frac{x^{4} {\mathrm e}^{5}}{10}$&$38$\\ risch&$\frac{x^{5}}{80}-\frac{x^{6}}{40}+\frac{x^{7}}{80}-\frac{x^{2} {\mathrm e}^{5}}{10}+\frac{x^{3} {\mathrm e}^{5}}{5}-\frac{x^{4} {\mathrm e}^{5}}{10}$&$38$\\ \hline \end{longtable}"," ",0,"-1/80*x^2*(-x^4+x^3+8*x*exp(5)-8*exp(5))*(x-1)","A"
8080,1,17,18,0.078000," ","int((exp(x)^2+(4*x^2-6*x)*exp(x)+x^4-6*x^3)*exp(-6*x/(exp(x)-x^2))/(exp(x)^2-2*exp(x)*x^2+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{6 x}{{\mathrm e}^{x}-x^{2}}} x$&$17$\\ norman&$\frac{x^{3} {\mathrm e}^{-\frac{6 x}{{\mathrm e}^{x}-x^{2}}}-{\mathrm e}^{x} x \,{\mathrm e}^{-\frac{6 x}{{\mathrm e}^{x}-x^{2}}}}{-{\mathrm e}^{x}+x^{2}}$&$50$\\ \hline \end{longtable}"," ",0,"exp(-6*x/(exp(x)-x^2))*x","A"
8081,1,17,20,0.036000," ","int((24*ln(2)*ln(x)*ln(ln(x))^3-675*x^2*ln(x)*ln(ln(x))+450*x^2)/ln(x)/ln(ln(x))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$24 x \ln \left(2\right)-\frac{225 x^{3}}{\ln \left(\ln \left(x \right)\right)^{2}}$&$17$\\ \hline \end{longtable}"," ",0,"24*x*ln(2)-225*x^3/ln(ln(x))^2","A"
8082,1,19,22,0.059000," ","int((-2*exp(x)*x^3-2*x^2+4*x)/exp(4)/exp((x-1)*exp(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2} {\mathrm e}^{-4-{\mathrm e}^{x} x +{\mathrm e}^{x}-x}$&$19$\\ norman&$2 x^{2} {\mathrm e}^{-4} {\mathrm e}^{-\left(x -1\right) {\mathrm e}^{x}-x}$&$21$\\ \hline \end{longtable}"," ",0,"2*x^2*exp(-4-exp(x)*x+exp(x)-x)","A"
8083,1,20,19,0.159000," ","int((96*exp(x)+96)/(16*exp(x)^2+(-64*ln(2)-8*exp(4)^2+32*x-32)*exp(x)+64*ln(2)^2+2*(8*exp(4)^2-32*x+32)*ln(2)+exp(4)^4+(-8*x+8)*exp(4)^2+16*x^2-32*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{24}{{\mathrm e}^{8}-4 \,{\mathrm e}^{x}+8 \ln \left(2\right)-4 x +4}$&$20$\\ norman&$\frac{24}{{\mathrm e}^{8}-4 \,{\mathrm e}^{x}+8 \ln \left(2\right)-4 x +4}$&$22$\\ \hline \end{longtable}"," ",0,"24/(exp(8)-4*exp(x)+8*ln(2)-4*x+4)","A"
8084,1,22,18,0.042000," ","int((-11*x*ln(x)^2+2*x*ln(x)+2)/((exp(x)*x+11*x)*ln(x)^2-2*x*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -\ln \left(\ln \left(x \right)\right)+\ln \left({\mathrm e}^{x} \ln \left(x \right)+11 \ln \left(x \right)-2\right)$&$22$\\ risch&$-x +\ln \left({\mathrm e}^{x}+11\right)-\ln \left(\ln \left(x \right)\right)+\ln \left(\ln \left(x \right)-\frac{2}{{\mathrm e}^{x}+11}\right)$&$27$\\ \hline \end{longtable}"," ",0,"-x-ln(ln(x))+ln(exp(x)*ln(x)+11*ln(x)-2)","A"
8085,1,339,24,0.149000," ","int(((x^2*ln(x)-x^4+11*x^3-27*x^2-2)*ln((x^2*ln(x)-x^4+11*x^3-27*x^2-2)/x^2)+x^2*ln(x)-3*x^4+22*x^3-26*x^2+2)/(x^2*ln(x)-x^4+11*x^3-27*x^2-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(2+x^{4}-11 x^{3}+\left(-\ln \left(x \right)+27\right) x^{2}\right) x -2 x \ln \left(x \right)-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(-2-x^{4}+11 x^{3}-\left(-\ln \left(x \right)+27\right) x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-2-x^{4}+11 x^{3}-\left(-\ln \left(x \right)+27\right) x^{2}\right)}{x^{2}}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(-2-x^{4}+11 x^{3}-\left(-\ln \left(x \right)+27\right) x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-2-x^{4}+11 x^{3}-\left(-\ln \left(x \right)+27\right) x^{2}\right)}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right)}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(-2-x^{4}+11 x^{3}-\left(-\ln \left(x \right)+27\right) x^{2}\right)}{x^{2}}\right)^{3}}{2}-i \pi  x \mathrm{csgn}\left(\frac{i \left(-2-x^{4}+11 x^{3}-\left(-\ln \left(x \right)+27\right) x^{2}\right)}{x^{2}}\right)^{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(-2-x^{4}+11 x^{3}-\left(-\ln \left(x \right)+27\right) x^{2}\right)}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)}{2}+\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}-i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\frac{i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+i \pi  x +x$&$339$\\ \hline \end{longtable}"," ",0,"ln(2+x^4-11*x^3+(-ln(x)+27)*x^2)*x-2*x*ln(x)-1/2*I*Pi*x*csgn(I*(-2-x^4+11*x^3-(-ln(x)+27)*x^2))*csgn(I*(-2-x^4+11*x^3-(-ln(x)+27)*x^2)/x^2)^2-1/2*I*Pi*x*csgn(I*(-2-x^4+11*x^3-(-ln(x)+27)*x^2))*csgn(I*(-2-x^4+11*x^3-(-ln(x)+27)*x^2)/x^2)*csgn(I/x^2)-1/2*I*Pi*x*csgn(I*(-2-x^4+11*x^3-(-ln(x)+27)*x^2)/x^2)^3-I*Pi*x*csgn(I*(-2-x^4+11*x^3-(-ln(x)+27)*x^2)/x^2)^2+1/2*I*Pi*x*csgn(I*(-2-x^4+11*x^3-(-ln(x)+27)*x^2)/x^2)^2*csgn(I/x^2)+1/2*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)-I*Pi*x*csgn(I*x)*csgn(I*x^2)^2+1/2*I*Pi*x*csgn(I*x^2)^3+I*Pi*x+x","C"
8086,1,27,18,0.044000," ","int(1/2*((2*x*exp(3)-1)*ln(x)^2+(-2*x*exp(3)+1)*ln(x)+x*exp(3)-1)/exp(3)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{2}-\frac{x \,{\mathrm e}^{-3}}{2}-\frac{{\mathrm e}^{-3} x \left(x \,{\mathrm e}^{3}-1\right)}{2 \ln \left(x \right)}$&$27$\\ norman&$\frac{-\frac{x^{2}}{2}+\frac{x \,{\mathrm e}^{-3}}{2}+\frac{x^{2} \ln \left(x \right)}{2}-\frac{x \,{\mathrm e}^{-3} \ln \left(x \right)}{2}}{\ln \left(x \right)}$&$35$\\ default&$\frac{{\mathrm e}^{-3} \left(x^{2} {\mathrm e}^{3}+2 \,{\mathrm e}^{3} \expIntegralEi \left(1, -2 \ln \left(x \right)\right)-x +{\mathrm e}^{3} \left(-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)+\frac{x}{\ln \left(x \right)}\right)}{2}$&$54$\\ \hline \end{longtable}"," ",0,"1/2*x^2-1/2*x*exp(-3)-1/2*exp(-3)*x*(x*exp(3)-1)/ln(x)","A"
8087,1,15,13,0.032000," ","int(((-exp(x)*x+1)*exp(exp(x))+x^2-2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2+x^{2}-{\mathrm e}^{{\mathrm e}^{x}}}{x}$&$15$\\ risch&$x +\frac{2}{x}-\frac{{\mathrm e}^{{\mathrm e}^{x}}}{x}$&$16$\\ \hline \end{longtable}"," ",0,"(2+x^2-exp(exp(x)))/x","A"
8088,1,101,18,0.132000," ","int((1-6*x)/x/ln(x*exp((-6*x*exp(15/2)+3)/exp(15/2)))/ln(ln(x*exp((-6*x*exp(15/2)+3)/exp(15/2)))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\ln \left(x \right)+\ln \left({\mathrm e}^{-3 \left(2 x \,{\mathrm e}^{\frac{15}{2}}-1\right) {\mathrm e}^{-\frac{15}{2}}}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-3 \left(2 x \,{\mathrm e}^{\frac{15}{2}}-1\right) {\mathrm e}^{-\frac{15}{2}}}\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{-3 \left(2 x \,{\mathrm e}^{\frac{15}{2}}-1\right) {\mathrm e}^{-\frac{15}{2}}}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{-3 \left(2 x \,{\mathrm e}^{\frac{15}{2}}-1\right) {\mathrm e}^{-\frac{15}{2}}}\right)+\mathrm{csgn}\left(i {\mathrm e}^{-3 \left(2 x \,{\mathrm e}^{\frac{15}{2}}-1\right) {\mathrm e}^{-\frac{15}{2}}}\right)\right)}{2}\right)\right)$&$101$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(x)+ln(exp(-3*(2*x*exp(15/2)-1)*exp(-15/2)))-1/2*I*Pi*csgn(I*x*exp(-3*(2*x*exp(15/2)-1)*exp(-15/2)))*(-csgn(I*x*exp(-3*(2*x*exp(15/2)-1)*exp(-15/2)))+csgn(I*x))*(-csgn(I*x*exp(-3*(2*x*exp(15/2)-1)*exp(-15/2)))+csgn(I*exp(-3*(2*x*exp(15/2)-1)*exp(-15/2))))))","C"
8089,1,2968,28,2.240000," ","int((2*exp(x)*x^2-4*x-4)*ln(x*exp(x)/((x^2+x)*exp(x)+2))/(((5*x^3+5*x^2)*exp(4)*exp(x)+10*x*exp(4))*ln(x*exp(x)/((x^2+x)*exp(x)+2))^4+((30*x^3+30*x^2)*exp(4)*exp(x)+60*x*exp(4))*ln(x*exp(x)/((x^2+x)*exp(x)+2))^2+(45*x^3+45*x^2)*exp(4)*exp(x)+90*x*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2968$\\ \hline \end{longtable}"," ",0,"-4/5*exp(-4)/(-12-4*ln(x)^2-2*Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^5-2*Pi^2*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^5*csgn(I*x)+Pi^2*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^4*csgn(I*x)^2+Pi^2*csgn(I/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^4-2*Pi^2*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^5-2*Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^5*csgn(I*exp(x))-2*Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^4*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^2+2*Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^3*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^3+Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^4*csgn(I*exp(x))^2+Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^4+4*Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^4*csgn(I*x)+Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^2*csgn(I*x)^2-2*Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^3*csgn(I*x)^2-2*Pi^2*csgn(I/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^3*csgn(I*exp(x))+4*Pi^2*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^4*csgn(I*exp(x))+2*Pi^2*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^3*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^2-2*Pi^2*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^3+Pi^2*csgn(I/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*exp(x))^2-2*Pi^2*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^3*csgn(I*exp(x))^2+2*Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^4*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))*csgn(I*x)-2*Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^3*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^2*csgn(I*x)+2*Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^3*csgn(I*exp(x))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^2-2*Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*exp(x))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^3+4*I*ln(exp(x))*Pi*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^3-4*I*ln(exp(x)*x^2+exp(x)*x+2)*Pi*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^3-4*I*ln(exp(x)*x^2+exp(x)*x+2)*Pi*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^3+4*I*ln(x)*Pi*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^3+4*I*ln(x)*Pi*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^3+4*I*ln(exp(x))*Pi*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^3-4*ln(exp(x))^2+Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^6+Pi^2*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^6-4*ln(exp(x)*x^2+exp(x)*x+2)^2+8*ln(x)*ln(exp(x)*x^2+exp(x)*x+2)-8*ln(x)*ln(exp(x))+8*ln(exp(x))*ln(exp(x)*x^2+exp(x)*x+2)-2*Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^3*csgn(I*x)+2*Pi^2*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*exp(x))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))*csgn(I*x)-2*Pi^2*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^2*csgn(I*x)+4*I*ln(x)*Pi*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x))+4*I*ln(x)*Pi*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))*csgn(I*x)+4*I*ln(exp(x))*Pi*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x))+4*I*ln(exp(x))*Pi*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))*csgn(I*x)-4*I*ln(exp(x)*x^2+exp(x)*x+2)*Pi*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x))-4*I*ln(exp(x)*x^2+exp(x)*x+2)*Pi*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))*csgn(I*x)+4*I*ln(exp(x)*x^2+exp(x)*x+2)*Pi*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*exp(x))+4*I*ln(exp(x)*x^2+exp(x)*x+2)*Pi*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^2+4*I*ln(exp(x)*x^2+exp(x)*x+2)*Pi*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^2*csgn(I*x)-4*I*ln(x)*Pi*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2-4*I*ln(x)*Pi*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*exp(x))-4*I*ln(x)*Pi*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^2-4*I*ln(x)*Pi*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^2*csgn(I*x)-4*I*ln(exp(x))*Pi*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2-4*I*ln(exp(x))*Pi*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*exp(x))-4*I*ln(exp(x))*Pi*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^2-4*I*ln(exp(x))*Pi*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^2*csgn(I*x)+4*I*ln(exp(x)*x^2+exp(x)*x+2)*Pi*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2-2*Pi^2*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^3*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))*csgn(I*x)+2*Pi^2*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^2*csgn(I*x)-2*Pi^2*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*exp(x))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^2+2*Pi^2*csgn(I/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))*csgn(I*exp(x))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^3-2*Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^3*csgn(I*exp(x))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))*csgn(I*x)+2*Pi^2*csgn(I*exp(x)/(exp(x)*x^2+exp(x)*x+2))^2*csgn(I*exp(x))*csgn(I*x/(exp(x)*x^2+exp(x)*x+2)*exp(x))^2*csgn(I*x))","C"
8090,1,80,28,0.132000," ","int(((x*ln(x)-x^2+5)*ln(1/9*x^2)^2+2*exp(exp(1))*ln(x)+(-2*x+10)*exp(exp(1)))/(3*x*ln(x)-3*x^2+15*x)/ln(1/9*x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{3}+\frac{2 i {\mathrm e}^{{\mathrm e}}}{3 \left(-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(3\right)-4 i \ln \left(x \right)\right)}+\frac{5 \ln \left(\ln \left(x \right)-x +5\right)}{3}$&$80$\\ \hline \end{longtable}"," ",0,"1/3*x+2/3*I*exp(exp(1))/(-Pi*csgn(I*x^2)^3-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(3)-4*I*ln(x))+5/3*ln(ln(x)-x+5)","C"
8091,1,12,12,0.134000," ","int(-5*exp(3)*exp(x)*exp(exp(x))/(exp(3)^2*exp(exp(x))^2+10*exp(3)*exp(exp(x))+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{5+{\mathrm e}^{3+{\mathrm e}^{x}}}$&$12$\\ norman&$-\frac{{\mathrm e}^{3} {\mathrm e}^{{\mathrm e}^{x}}}{5+{\mathrm e}^{3} {\mathrm e}^{{\mathrm e}^{x}}}$&$18$\\ \hline \end{longtable}"," ",0,"5/(5+exp(3+exp(x)))","A"
8092,1,52,23,0.033000," ","int((-1250*ln(x)^3+(-3750*x^2-187600*x-2343700)*ln(x)^2+(-3750*x^4-375100*x^3-14070000*x^2-234497450*x-1464781300)*ln(x)-1250*x^6-187500*x^5-11721300*x^4-390814950*x^3-7328903800*x^2-73279658750*x-305156281250)/(15625*x^3*ln(x)^3+(46875*x^5+2345625*x^4+29295000*x^3)*ln(x)^2+(46875*x^7+4691250*x^6+175965075*x^5+2931843600*x^4+18308203200*x^3)*ln(x)+15625*x^9+2345625*x^8+146670075*x^7+4889659851*x^6+91662930072*x^5+916142488128*x^4+3813964890624*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{25 x^{2}}-\frac{50 x^{3}+2451 x^{2}+50 x \ln \left(x \right)+28748 x -50 \ln \left(x \right)-31249}{25 x^{2} \left(25 x^{2}+25 \ln \left(x \right)+1251 x +15624\right)^{2}}$&$52$\\ \hline \end{longtable}"," ",0,"1/25/x^2-1/25*(50*x^3+2451*x^2+50*x*ln(x)+28748*x-50*ln(x)-31249)/x^2/(25*x^2+25*ln(x)+1251*x+15624)^2","B"
8093,1,17,18,0.045000," ","int((-32*exp(x)*x-16)*exp(2*exp(x))-exp(x)+8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$8 x -16 \,{\mathrm e}^{2 \,{\mathrm e}^{x}} x -{\mathrm e}^{x}$&$17$\\ norman&$8 x -16 \,{\mathrm e}^{2 \,{\mathrm e}^{x}} x -{\mathrm e}^{x}$&$17$\\ risch&$8 x -16 \,{\mathrm e}^{2 \,{\mathrm e}^{x}} x -{\mathrm e}^{x}$&$17$\\ \hline \end{longtable}"," ",0,"8*x-16*exp(2*exp(x))*x-exp(x)","A"
8094,1,40,25,0.094000," ","int(((6*ln(2)*ln(x)+2*(-6*x+3)*ln(2))*ln(2*x)+6*ln(2)*ln(x)+2*(-12*exp(5)-3*x)*ln(2)+exp(5))/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-24 \ln \left(2\right)+1\right) x -6 x^{2} \ln \left(2\right) {\mathrm e}^{-5} \ln \left(2 x \right)+6 \,{\mathrm e}^{-5} \ln \left(2\right) x \ln \left(x \right) \ln \left(2 x \right)$&$40$\\ risch&$6 \,{\mathrm e}^{-5} \ln \left(2\right) \ln \left(x \right)^{2} x +3 \,{\mathrm e}^{-5} \ln \left(2\right) \left(2 x \ln \left(2\right)-2 x^{2}\right) \ln \left(x \right)-6 \,{\mathrm e}^{-5} x^{2} \ln \left(2\right)^{2}-24 x \ln \left(2\right)+x$&$49$\\ default&${\mathrm e}^{-5} \left(6 \ln \left(x \right) \ln \left(2\right)^{2} x +6 \ln \left(2\right) \ln \left(x \right)^{2} x -6 x^{2} \ln \left(2\right)^{2}-6 x^{2} \ln \left(2\right) \ln \left(x \right)-24 x \,{\mathrm e}^{5} \ln \left(2\right)+x \,{\mathrm e}^{5}\right)$&$54$\\ \hline \end{longtable}"," ",0,"(-24*ln(2)+1)*x-6*x^2*ln(2)/exp(5)*ln(2*x)+6/exp(5)*ln(2)*x*ln(x)*ln(2*x)","A"
8095,1,28,25,0.292000," ","int((3*x^2*ln(5)^2-32*x^4*ln(5)-1280*x^6+8*x^3+3*x^2)/(ln(5)^6+96*x^2*ln(5)^5+(3840*x^4+24*x+3)*ln(5)^4+(81920*x^6+1536*x^3+192*x^2)*ln(5)^3+(983040*x^8+36864*x^5+4608*x^4+192*x^2+48*x+3)*ln(5)^2+(6291456*x^10+393216*x^7+49152*x^6+6144*x^4+1536*x^3+96*x^2)*ln(5)+16777216*x^12+1572864*x^9+196608*x^8+49152*x^6+12288*x^5+768*x^4+512*x^3+192*x^2+24*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{3}}{\left(256 x^{4}+32 x^{2} \ln \left(5\right)+\ln \left(5\right)^{2}+8 x +1\right)^{2}}$&$28$\\ norman&$\frac{x^{3}}{\left(256 x^{4}+32 x^{2} \ln \left(5\right)+\ln \left(5\right)^{2}+8 x +1\right)^{2}}$&$28$\\ gosper&$\frac{x^{3}}{65536 x^{8}+16384 x^{6} \ln \left(5\right)+1536 x^{4} \ln \left(5\right)^{2}+64 x^{2} \ln \left(5\right)^{3}+4096 x^{5}+\ln \left(5\right)^{4}+512 x^{3} \ln \left(5\right)+512 x^{4}+16 x \ln \left(5\right)^{2}+64 x^{2} \ln \left(5\right)+2 \ln \left(5\right)^{2}+64 x^{2}+16 x +1}$&$88$\\ risch&$\frac{x^{3}}{65536 x^{8}+16384 x^{6} \ln \left(5\right)+1536 x^{4} \ln \left(5\right)^{2}+64 x^{2} \ln \left(5\right)^{3}+4096 x^{5}+\ln \left(5\right)^{4}+512 x^{3} \ln \left(5\right)+512 x^{4}+16 x \ln \left(5\right)^{2}+64 x^{2} \ln \left(5\right)+2 \ln \left(5\right)^{2}+64 x^{2}+16 x +1}$&$88$\\ \hline \end{longtable}"," ",0,"x^3/(256*x^4+32*x^2*ln(5)+ln(5)^2+8*x+1)^2","A"
8096,1,459,18,0.805000," ","int(((2*ln(x)-2)*ln(4*x^2)*ln(ln(4*x^2)^2)+16*ln(x))/x^2/ln(4*x^2)/ln(ln(4*x^2)^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 \ln \left(x \right)}{x \left(\pi  \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(2\right)+4 i \ln \left(x \right)\right)\right)^{2} \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(2\right)+4 i \ln \left(x \right)\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(2\right)+4 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(2\right)+4 i \ln \left(x \right)\right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(2\right)+4 i \ln \left(x \right)\right)^{2}\right)^{3}+2 \pi  \mathrm{csgn}\left(i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(2\right)+4 i \ln \left(x \right)\right)^{2}\right)^{2}-2 \pi -4 i \ln \left(2\right)+4 i \ln \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(2\right)+4 i \ln \left(x \right)\right)\right)^{2}}$&$459$\\ \hline \end{longtable}"," ",0,"8*ln(x)/x/(Pi*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(2)+4*I*ln(x)))^2*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(2)+4*I*ln(x))^2)-2*Pi*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(2)+4*I*ln(x)))*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(2)+4*I*ln(x))^2)^2-Pi*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(2)+4*I*ln(x))^2)^3+2*Pi*csgn(I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(2)+4*I*ln(x))^2)^2-2*Pi-4*I*ln(2)+4*I*ln(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+4*I*ln(2)+4*I*ln(x)))^2","C"
8097,1,67,29,10.354000," ","int((((15*x^3+30*x^2)*exp(4)^2+(-24*x^3+72*x^2+240*x)*exp(4)-96*x^2+144*x+576)*exp(x)-60*x^2*exp(4)^2+(96*x^2-480*x)*exp(4)-1344)/(25*x^2*exp(3)*exp(4)^2+(-80*x^2+200*x)*exp(3)*exp(4)+(64*x^2-320*x+400)*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{12 \,{\mathrm e}^{-3} {\mathrm e}^{x}-\frac{336 x \,{\mathrm e}^{-3}}{5}-12 \,{\mathrm e}^{-3} {\mathrm e}^{4} x^{2}+3 \left(4+{\mathrm e}^{4}\right) {\mathrm e}^{-3} x \,{\mathrm e}^{x}+3 \,{\mathrm e}^{-3} {\mathrm e}^{4} x^{2} {\mathrm e}^{x}}{5 x \,{\mathrm e}^{4}-8 x +20}$&$67$\\ risch&$-\frac{12 \,{\mathrm e} x}{5 \,{\mathrm e}^{4}-8}+\frac{1920 \,{\mathrm e}^{-3} {\mathrm e}^{4}}{\left(5 \,{\mathrm e}^{4}-8\right)^{2} \left(5 x \,{\mathrm e}^{4}-8 x +20\right)}-\frac{10752 \,{\mathrm e}^{-3}}{\left(5 \,{\mathrm e}^{4}-8\right)^{2} \left(5 x \,{\mathrm e}^{4}-8 x +20\right)}+\frac{3 \left(x^{2} {\mathrm e}^{4}+x \,{\mathrm e}^{4}+4 x +4\right) {\mathrm e}^{x -3}}{5 x \,{\mathrm e}^{4}-8 x +20}$&$98$\\ default&$-\frac{336 \,{\mathrm e}^{-3} x}{5 \left(5 x \,{\mathrm e}^{4}-8 x +20\right)}-\frac{576 \,{\mathrm e}^{x} {\mathrm e}^{-3}}{\left(5 \,{\mathrm e}^{4}-8\right) \left(5 x \,{\mathrm e}^{4}-8 x +20\right)}-\frac{576 \,{\mathrm e}^{-3} {\mathrm e}^{-\frac{20}{5 \,{\mathrm e}^{4}-8}} \expIntegralEi \left(1, -x -\frac{20}{5 \,{\mathrm e}^{4}-8}\right)}{\left(5 \,{\mathrm e}^{4}-8\right)^{2}}+\frac{480 \,{\mathrm e}^{4} {\mathrm e}^{-3} x}{\left(5 \,{\mathrm e}^{4}-8\right) \left(5 x \,{\mathrm e}^{4}-8 x +20\right)}-\frac{480 \,{\mathrm e}^{-3} {\mathrm e}^{4} \ln \left(5 x \,{\mathrm e}^{4}-8 x +20\right)}{25 \,{\mathrm e}^{8}-80 \,{\mathrm e}^{4}+64}+\frac{\frac{3840 \,{\mathrm e}^{4} {\mathrm e}^{-3} x}{25 \,{\mathrm e}^{8}-80 \,{\mathrm e}^{4}+64}+\frac{96 \,{\mathrm e}^{4} {\mathrm e}^{-3} x^{2}}{5 \,{\mathrm e}^{4}-8}}{5 x \,{\mathrm e}^{4}-8 x +20}-\frac{3840 \,{\mathrm e}^{-3} {\mathrm e}^{4} \ln \left(5 x \,{\mathrm e}^{4}-8 x +20\right)}{125 \,{\mathrm e}^{12}-600 \,{\mathrm e}^{8}+960 \,{\mathrm e}^{4}-512}+\frac{-\frac{2400 \,{\mathrm e}^{8} {\mathrm e}^{-3} x}{25 \,{\mathrm e}^{8}-80 \,{\mathrm e}^{4}+64}-\frac{60 \,{\mathrm e}^{8} {\mathrm e}^{-3} x^{2}}{5 \,{\mathrm e}^{4}-8}}{5 x \,{\mathrm e}^{4}-8 x +20}+\frac{2400 \,{\mathrm e}^{-3} {\mathrm e}^{8} \ln \left(5 x \,{\mathrm e}^{4}-8 x +20\right)}{125 \,{\mathrm e}^{12}-600 \,{\mathrm e}^{8}+960 \,{\mathrm e}^{4}-512}+\frac{2880 \,{\mathrm e}^{x} {\mathrm e}^{-3}}{\left(25 \,{\mathrm e}^{8}-80 \,{\mathrm e}^{4}+64\right) \left(5 x \,{\mathrm e}^{4}-8 x +20\right)}-\frac{144 \left(5 \,{\mathrm e}^{4}-28\right) {\mathrm e}^{-3} {\mathrm e}^{-\frac{20}{5 \,{\mathrm e}^{4}-8}} \expIntegralEi \left(1, -x -\frac{20}{5 \,{\mathrm e}^{4}-8}\right)}{\left(25 \,{\mathrm e}^{8}-80 \,{\mathrm e}^{4}+64\right) \left(5 \,{\mathrm e}^{4}-8\right)}-\frac{96 \,{\mathrm e}^{x}}{25 \,{\mathrm e}^{3} {\mathrm e}^{8}-80 \,{\mathrm e}^{3} {\mathrm e}^{4}+64 \,{\mathrm e}^{3}}+\frac{38400 \,{\mathrm e}^{x} {\mathrm e}^{-3}}{\left(5 \,{\mathrm e}^{4}-8\right) \left(25 \,{\mathrm e}^{8}-80 \,{\mathrm e}^{4}+64\right) \left(5 x \,{\mathrm e}^{4}-8 x +20\right)}-\frac{3840 \left(5 \,{\mathrm e}^{4}-18\right) {\mathrm e}^{-\frac{20}{5 \,{\mathrm e}^{4}-8}} \expIntegralEi \left(1, -x -\frac{20}{5 \,{\mathrm e}^{4}-8}\right)}{\left(5 \,{\mathrm e}^{4}-8\right)^{2} \left(25 \,{\mathrm e}^{3} {\mathrm e}^{8}-80 \,{\mathrm e}^{3} {\mathrm e}^{4}+64 \,{\mathrm e}^{3}\right)}+240 \,{\mathrm e}^{4} \left(\frac{20 \,{\mathrm e}^{x} {\mathrm e}^{-3}}{\left(25 \,{\mathrm e}^{8}-80 \,{\mathrm e}^{4}+64\right) \left(5 x \,{\mathrm e}^{4}-8 x +20\right)}-\frac{\left(5 \,{\mathrm e}^{4}-28\right) {\mathrm e}^{-3} {\mathrm e}^{-\frac{20}{5 \,{\mathrm e}^{4}-8}} \expIntegralEi \left(1, -x -\frac{20}{5 \,{\mathrm e}^{4}-8}\right)}{\left(25 \,{\mathrm e}^{8}-80 \,{\mathrm e}^{4}+64\right) \left(5 \,{\mathrm e}^{4}-8\right)}\right)+72 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{x}}{25 \,{\mathrm e}^{3} {\mathrm e}^{8}-80 \,{\mathrm e}^{3} {\mathrm e}^{4}+64 \,{\mathrm e}^{3}}-\frac{400 \,{\mathrm e}^{x} {\mathrm e}^{-3}}{\left(5 \,{\mathrm e}^{4}-8\right) \left(25 \,{\mathrm e}^{8}-80 \,{\mathrm e}^{4}+64\right) \left(5 x \,{\mathrm e}^{4}-8 x +20\right)}+\frac{40 \left(5 \,{\mathrm e}^{4}-18\right) {\mathrm e}^{-\frac{20}{5 \,{\mathrm e}^{4}-8}} \expIntegralEi \left(1, -x -\frac{20}{5 \,{\mathrm e}^{4}-8}\right)}{\left(5 \,{\mathrm e}^{4}-8\right)^{2} \left(25 \,{\mathrm e}^{3} {\mathrm e}^{8}-80 \,{\mathrm e}^{3} {\mathrm e}^{4}+64 \,{\mathrm e}^{3}\right)}\right)-24 \,{\mathrm e}^{4} \left(\frac{\left(5 x \,{\mathrm e}^{4}-5 \,{\mathrm e}^{4}-8 x -32\right) {\mathrm e}^{x}}{\left(25 \,{\mathrm e}^{3} {\mathrm e}^{8}-80 \,{\mathrm e}^{3} {\mathrm e}^{4}+64 \,{\mathrm e}^{3}\right) \left(5 \,{\mathrm e}^{4}-8\right)}+\frac{8000 \,{\mathrm e}^{x} {\mathrm e}^{-3}}{\left(5 \,{\mathrm e}^{4}-8\right)^{2} \left(25 \,{\mathrm e}^{8}-80 \,{\mathrm e}^{4}+64\right) \left(5 x \,{\mathrm e}^{4}-8 x +20\right)}-\frac{400 \left(15 \,{\mathrm e}^{4}-44\right) {\mathrm e}^{-\frac{20}{5 \,{\mathrm e}^{4}-8}} \expIntegralEi \left(1, -x -\frac{20}{5 \,{\mathrm e}^{4}-8}\right)}{\left(5 \,{\mathrm e}^{4}-8\right)^{3} \left(25 \,{\mathrm e}^{3} {\mathrm e}^{8}-80 \,{\mathrm e}^{3} {\mathrm e}^{4}+64 \,{\mathrm e}^{3}\right)}\right)+30 \,{\mathrm e}^{8} \left(\frac{{\mathrm e}^{x}}{25 \,{\mathrm e}^{3} {\mathrm e}^{8}-80 \,{\mathrm e}^{3} {\mathrm e}^{4}+64 \,{\mathrm e}^{3}}-\frac{400 \,{\mathrm e}^{x} {\mathrm e}^{-3}}{\left(5 \,{\mathrm e}^{4}-8\right) \left(25 \,{\mathrm e}^{8}-80 \,{\mathrm e}^{4}+64\right) \left(5 x \,{\mathrm e}^{4}-8 x +20\right)}+\frac{40 \left(5 \,{\mathrm e}^{4}-18\right) {\mathrm e}^{-\frac{20}{5 \,{\mathrm e}^{4}-8}} \expIntegralEi \left(1, -x -\frac{20}{5 \,{\mathrm e}^{4}-8}\right)}{\left(5 \,{\mathrm e}^{4}-8\right)^{2} \left(25 \,{\mathrm e}^{3} {\mathrm e}^{8}-80 \,{\mathrm e}^{3} {\mathrm e}^{4}+64 \,{\mathrm e}^{3}\right)}\right)+15 \,{\mathrm e}^{8} \left(\frac{\left(5 x \,{\mathrm e}^{4}-5 \,{\mathrm e}^{4}-8 x -32\right) {\mathrm e}^{x}}{\left(25 \,{\mathrm e}^{3} {\mathrm e}^{8}-80 \,{\mathrm e}^{3} {\mathrm e}^{4}+64 \,{\mathrm e}^{3}\right) \left(5 \,{\mathrm e}^{4}-8\right)}+\frac{8000 \,{\mathrm e}^{x} {\mathrm e}^{-3}}{\left(5 \,{\mathrm e}^{4}-8\right)^{2} \left(25 \,{\mathrm e}^{8}-80 \,{\mathrm e}^{4}+64\right) \left(5 x \,{\mathrm e}^{4}-8 x +20\right)}-\frac{400 \left(15 \,{\mathrm e}^{4}-44\right) {\mathrm e}^{-\frac{20}{5 \,{\mathrm e}^{4}-8}} \expIntegralEi \left(1, -x -\frac{20}{5 \,{\mathrm e}^{4}-8}\right)}{\left(5 \,{\mathrm e}^{4}-8\right)^{3} \left(25 \,{\mathrm e}^{3} {\mathrm e}^{8}-80 \,{\mathrm e}^{3} {\mathrm e}^{4}+64 \,{\mathrm e}^{3}\right)}\right)$&$1252$\\ \hline \end{longtable}"," ",0,"(12*exp(x)/exp(3)-336/5*x/exp(3)-12/exp(3)*exp(4)*x^2+3*(4+exp(4))/exp(3)*x*exp(x)+3/exp(3)*exp(4)*x^2*exp(x))/(5*x*exp(4)-8*x+20)","B"
8098,1,28,27,0.109000," ","int((5*exp(x^2*exp(3)^2-2*x^2*exp(3)+x^2+6)^2+(8*x*exp(3)^2-16*x*exp(3)+18*x)*exp(x^2*exp(3)^2-2*x^2*exp(3)+x^2+6)+5*x^2+4)/(5*exp(x^2*exp(3)^2-2*x^2*exp(3)+x^2+6)^2+10*x*exp(x^2*exp(3)^2-2*x^2*exp(3)+x^2+6)+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{4}{5 \left({\mathrm e}^{x^{2} {\mathrm e}^{6}-2 x^{2} {\mathrm e}^{3}+x^{2}+6}+x \right)}$&$28$\\ norman&$\frac{-\frac{4}{5}+x^{2}+x \,{\mathrm e}^{x^{2} {\mathrm e}^{6}-2 x^{2} {\mathrm e}^{3}+x^{2}+6}}{{\mathrm e}^{x^{2} {\mathrm e}^{6}-2 x^{2} {\mathrm e}^{3}+x^{2}+6}+x}$&$55$\\ \hline \end{longtable}"," ",0,"x-4/5/(exp(x^2*exp(6)-2*x^2*exp(3)+x^2+6)+x)","A"
8099,1,26,27,0.095000," ","int(((-3*exp(x)*x+(-6*x^2+3*x)*exp(-x^2+x)-15*x-3)*exp(-ln(x)-exp(x)+exp(-x^2+x)-5*x)+3*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x +\frac{3 \,{\mathrm e}^{-{\mathrm e}^{x}+{\mathrm e}^{-x \left(x -1\right)}-5 x}}{x}$&$26$\\ \hline \end{longtable}"," ",0,"3*x+3/x*exp(-exp(x)+exp(-x*(x-1))-5*x)","A"
8100,1,23,24,0.075000," ","int(((((4*x+1)*exp(x+1)^4-2*x)*ln(x)+(4*x^2+x)*exp(x+1)^4-2*x^2)*ln(x+ln(x))*ln(ln(x+ln(x)))+(4*x+4*ln(x))*ln(x+ln(x))+(x+1)*exp(x+1)^4-x^2-x)*exp(1/4*(x*exp(x+1)^4-x^2)*ln(ln(x+ln(x)))+x)/(4*x+4*ln(x))/ln(x+ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x +\ln \left(x \right)\right)^{\frac{\left({\mathrm e}^{4 x +4}-x \right) x}{4}} {\mathrm e}^{x}$&$23$\\ \hline \end{longtable}"," ",0,"ln(x+ln(x))^(1/4*(exp(4*x+4)-x)*x)*exp(x)","A"
8101,1,21,21,0.040000," ","int(1/2*(8*x^3*exp(2/ln(5)/exp(x^4))*exp(exp(2/ln(5)/exp(x^4)))-ln(5)*exp(x^4))/ln(5)/exp(x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{2}-\frac{{\mathrm e}^{{\mathrm e}^{\frac{2 \,{\mathrm e}^{-x^{4}}}{\ln \left(5\right)}}}}{2}$&$21$\\ default&$\frac{-{\mathrm e}^{{\mathrm e}^{\frac{2 \,{\mathrm e}^{-x^{4}}}{\ln \left(5\right)}}} \ln \left(5\right)-x \ln \left(5\right)}{2 \ln \left(5\right)}$&$32$\\ \hline \end{longtable}"," ",0,"-1/2*x-1/2*exp(exp(2/ln(5)*exp(-x^4)))","A"
8102,1,28,27,0.209000," ","int((((-16*x+8)*ln(5)^2+4*x^2-2*x+1)*exp(2*x)*exp(2*x^2)+(40*ln(5)^2-10*x+5)*exp(2*x))/((16*ln(5)^4-8*x*ln(5)^2+x^2)*exp(2*x^2)^2+(160*ln(5)^4-80*x*ln(5)^2+10*x^2)*exp(2*x^2)+400*ln(5)^4-200*x*ln(5)^2+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{2 x}}{\left(4 \ln \left(5\right)^{2}-x \right) \left(5+{\mathrm e}^{2 x^{2}}\right)}$&$28$\\ risch&$\frac{{\mathrm e}^{2 x}}{\left(4 \ln \left(5\right)^{2}-x \right) \left(5+{\mathrm e}^{2 x^{2}}\right)}$&$28$\\ \hline \end{longtable}"," ",0,"exp(2*x)/(4*ln(5)^2-x)/(5+exp(2*x^2))","A"
8103,1,39,26,0.630000," ","int((2*exp(1)^2+8)/((x+1)*exp(1)^2+x^2+6*x+5)/ln((exp(1)^4+(2*x+10)*exp(1)^2+x^2+10*x+25)/(x^2+2*x+1))/ln(ln((exp(1)^4+(2*x+10)*exp(1)^2+x^2+10*x+25)/(x^2+2*x+1))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left(\ln \left(\frac{{\mathrm e}^{4}+\left(2 x +10\right) {\mathrm e}^{2}+x^{2}+10 x +25}{x^{2}+2 x +1}\right)\right)\right)$&$39$\\ \hline \end{longtable}"," ",0,"-ln(ln(ln((exp(1)^4+(2*x+10)*exp(1)^2+x^2+10*x+25)/(x^2+2*x+1))))","A"
8104,1,43,26,0.148000," ","int(((8*ln(2)+8*x+20)*ln(x)+4*(4*x^2+44)*ln(2)^2+2*(8*x^3+40*x^2+88*x+436)*ln(2)+4*x^4+40*x^3+140*x^2+436*x+1080)/(12*x^2*ln(2)^2+2*(6*x^3+30*x^2)*ln(2)+3*x^4+30*x^3+75*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-\frac{16 \ln \left(2\right)^{2}}{3}-\frac{80 \ln \left(2\right)}{3}-\frac{140}{3}\right) x +\frac{4 x^{3}}{3}-\frac{220}{3}-\frac{4 \ln \left(x \right)}{3}-\frac{88 \ln \left(2\right)}{3}}{x \left(2 \ln \left(2\right)+5+x \right)}$&$43$\\ risch&$-\frac{4 \ln \left(x \right)}{3 \left(2 \ln \left(2\right)+5+x \right) x}+\frac{\frac{8 x^{2} \ln \left(2\right)}{3}+\frac{4 x^{3}}{3}+\frac{20 x^{2}}{3}-\frac{88 \ln \left(2\right)}{3}-\frac{40 x}{3}-\frac{220}{3}}{x \left(2 \ln \left(2\right)+5+x \right)}$&$56$\\ default&$\frac{4 x}{3}+\frac{4}{3 \left(2 \ln \left(2\right)+5+x \right)}+\frac{4 \ln \left(x \right)}{3 \left(2 \ln \left(2\right)+5\right)^{2}}-\frac{88 \ln \left(2\right)}{3 \left(2 \ln \left(2\right)+5\right) x}-\frac{220}{3 \left(2 \ln \left(2\right)+5\right) x}-\frac{4 \ln \left(x \right)}{3 \left(2 \ln \left(2\right)+5\right) x}-\frac{4 \ln \left(x \right) x}{3 \left(2 \ln \left(2\right)+5\right)^{2} \left(2 \ln \left(2\right)+5+x \right)}$&$93$\\ \hline \end{longtable}"," ",0,"((-16/3*ln(2)^2-80/3*ln(2)-140/3)*x+4/3*x^3-220/3-4/3*ln(x)-88/3*ln(2))/x/(2*ln(2)+5+x)","A"
8105,1,28,28,0.078000," ","int((4*(-90*x^3-x^2+3)*ln(2)^2+2*(-180*x^5-2*x^4+5*x^2)*ln(2)-90*x^7-x^6+4*x^4)/(4*x^2*ln(2)^2+4*x^4*ln(2)+x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -45 x^{2}-\frac{3}{x}-\frac{x}{2 \left(\frac{x^{2}}{2}+\ln \left(2\right)\right)}$&$28$\\ risch&$-45 x^{2}-x +\frac{-4 x^{2}-6 \ln \left(2\right)}{x \left(x^{2}+2 \ln \left(2\right)\right)}$&$35$\\ norman&$\frac{180 x \ln \left(2\right)^{2}+\left(-2 \ln \left(2\right)-4\right) x^{2}-x^{4}-45 x^{5}-6 \ln \left(2\right)}{x \left(x^{2}+2 \ln \left(2\right)\right)}$&$47$\\ gosper&$\frac{-45 x^{5}-x^{4}+180 x \ln \left(2\right)^{2}-2 x^{2} \ln \left(2\right)-4 x^{2}-6 \ln \left(2\right)}{x \left(x^{2}+2 \ln \left(2\right)\right)}$&$49$\\ \hline \end{longtable}"," ",0,"-x-45*x^2-3/x-1/2*x/(1/2*x^2+ln(2))","A"
8106,1,45,29,0.043000," ","int(1/64*((-24*x+3)*ln(x)*ln(ln(x))^2+((72*x^2-12*x)*exp(2)*ln(x)-24*x+6)*ln(ln(x))+(-48*x^3+9*x^2)*exp(2)^2*ln(x)+(24*x^2-6*x)*exp(2))/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-12 x^{2}+3 x \right) \ln \left(\ln \left(x \right)\right)^{2}}{64}+\frac{3 \,{\mathrm e}^{2} x^{2} \left(4 x -1\right) \ln \left(\ln \left(x \right)\right)}{32}-\frac{3 \,{\mathrm e}^{4} x^{3} \left(4 x -1\right)}{64}$&$45$\\ \hline \end{longtable}"," ",0,"1/64*(-12*x^2+3*x)*ln(ln(x))^2+3/32*exp(2)*x^2*(4*x-1)*ln(ln(x))-3/64*exp(4)*x^3*(4*x-1)","A"
8107,1,41,22,0.125000," ","int((8*exp(2*x)^2+(16*exp(x)^2+(24*x^2+16*x)*exp(x)+8*x^4+16*x^3)*exp(2*x)+8*exp(x)^4+(24*x^2+16*x)*exp(x)^3+(24*x^4+48*x^3)*exp(x)^2+(8*x^6+48*x^5)*exp(x)+16*x^7)*exp((2*exp(2*x)^2+(4*exp(x)^2+8*exp(x)*x^2+4*x^4)*exp(2*x)+2*exp(x)^4+8*x^2*exp(x)^3+12*exp(x)^2*x^4+8*x^6*exp(x)+2*x^8)/exp(1/4)^2)/exp(1/4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 \left(x^{8}+4 x^{6} {\mathrm e}^{x}+8 \,{\mathrm e}^{2 x} x^{4}+8 x^{2} {\mathrm e}^{3 x}+4 \,{\mathrm e}^{4 x}\right) {\mathrm e}^{-\frac{1}{2}}}$&$41$\\ \hline \end{longtable}"," ",0,"exp(2*(x^8+4*x^6*exp(x)+8*exp(2*x)*x^4+8*x^2*exp(3*x)+4*exp(4*x))*exp(-1/2))","A"
8108,1,17,18,0.069000," ","int((-9*x^3+45*x^2-45*x)*ln(3)/(8*x^3-120*x^2+600*x-1000)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{9 x^{2} {\mathrm e}^{-2 x} \ln \left(3\right)}{16 \left(x -5\right)^{2}}$&$17$\\ risch&$\frac{9 x^{2} {\mathrm e}^{-2 x} \ln \left(3\right)}{16 \left(x -5\right)^{2}}$&$17$\\ gosper&$\frac{9 x^{2} \ln \left(3\right) {\mathrm e}^{-2 x}}{16 \left(x^{2}-10 x +25\right)}$&$22$\\ default&$\frac{9 \ln \left(3\right) \left(-\frac{5 \,{\mathrm e}^{-2 x} \left(8 x -45\right)}{2 \left(x^{2}-10 x +25\right)}+\frac{25 \,{\mathrm e}^{-2 x} \left(6 x -35\right)}{2 \left(x^{2}-10 x +25\right)}+\frac{{\mathrm e}^{-2 x}}{2}-\frac{25 \,{\mathrm e}^{-2 x} \left(4 x -25\right)}{2 \left(x^{2}-10 x +25\right)}\right)}{8}$&$75$\\ \hline \end{longtable}"," ",0,"9/16*x^2/exp(x)^2/(x-5)^2*ln(3)","A"
8109,1,28,25,0.227000," ","int(((30*exp(2)*ln(5)-60*exp(2)-20*x)*exp(1/3*(-3*x*exp(2)*ln(5)+6*exp(2)*x+x^2)/exp(2))^2-15*exp(2))/(3*exp(2)*exp(1/3*(-3*x*exp(2)*ln(5)+6*exp(2)*x+x^2)/exp(2))^4+(6*x-6)*exp(2)*exp(1/3*(-3*x*exp(2)*ln(5)+6*exp(2)*x+x^2)/exp(2))^2+(3*x^2-6*x+3)*exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{{\mathrm e}^{-\frac{2 x \left(3 \,{\mathrm e}^{2} \ln \left(5\right)-6 \,{\mathrm e}^{2}-x \right) {\mathrm e}^{-2}}{3}}+x -1}$&$28$\\ norman&$\frac{5}{{\mathrm e}^{\frac{2 \left(-3 x \,{\mathrm e}^{2} \ln \left(5\right)+6 \,{\mathrm e}^{2} x +x^{2}\right) {\mathrm e}^{-2}}{3}}+x -1}$&$33$\\ \hline \end{longtable}"," ",0,"5/(exp(-2/3*x*(3*exp(2)*ln(5)-6*exp(2)-x)*exp(-2))+x-1)","A"
8110,1,32,27,0.102000," ","int((4*exp(x)*ln(2)+2*exp(-x*ln(2)+x)-4*x*ln(2)+4*x-4)/(10*exp(x)+5*x*exp(-x*ln(2)+x)-10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{2 \ln \left(2\right)}{5}-\frac{2}{5}\right) x +\frac{2 \ln \left(10 \,{\mathrm e}^{x}+5 x \,{\mathrm e}^{-x \ln \left(2\right)+x}-10 x \right)}{5}$&$32$\\ risch&$\frac{2 \ln \left(x \right)}{5}+\frac{2 x \ln \left(2\right)}{5}-\frac{2 x}{5}+\frac{2 \ln \left(\left(\frac{1}{2}\right)^{x} {\mathrm e}^{x}-\frac{2 \left(x -{\mathrm e}^{x}\right)}{x}\right)}{5}$&$35$\\ \hline \end{longtable}"," ",0,"(2/5*ln(2)-2/5)*x+2/5*ln(10*exp(x)+5*x*exp(-x*ln(2)+x)-10*x)","A"
8111,1,7,6,0.016000," ","int(-15*exp(-15*x+198/5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-15 x +\frac{198}{5}}$&$7$\\ derivativedivides&${\mathrm e}^{-15 x +\frac{198}{5}}$&$7$\\ default&${\mathrm e}^{-15 x +\frac{198}{5}}$&$7$\\ norman&${\mathrm e}^{-15 x +\frac{198}{5}}$&$7$\\ risch&${\mathrm e}^{-15 x +\frac{198}{5}}$&$7$\\ meijerg&$-{\mathrm e}^{\frac{198}{5}} \left(1-{\mathrm e}^{-15 x}\right)$&$13$\\ \hline \end{longtable}"," ",0,"exp(-15*x+198/5)","A"
8112,1,27,27,0.276000," ","int((-exp(x+1)^4+(-16*x^2-6*x+12)*exp(x+1)^2-x^4+12*x^2)/(exp(x+1)^4-2*x^2*exp(x+1)^2+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{3 \left(4+3 x \right) x}{x^{2}-{\mathrm e}^{2 x +2}}$&$27$\\ norman&$\frac{x \,{\mathrm e}^{2 x +2}-9 \,{\mathrm e}^{2 x +2}-12 x -x^{3}}{x^{2}-{\mathrm e}^{2 x +2}}$&$41$\\ \hline \end{longtable}"," ",0,"-x-3*(4+3*x)*x/(x^2-exp(2*x+2))","A"
8113,1,43,21,0.064000," ","int(((2*x^3+6*x^2+6*x+2)*ln(x)^2+(2*(-4*x+4)*ln(2)+4*x^4+12*x^3+12*x^2+4*x)*ln(x)+2*(-8*x^2-4*x-4)*ln(2)+2*x^5+6*x^4+6*x^3+2*x^2)*exp(((2*x^3+4*x^2+2*x)*ln(x)+8*x*ln(2)+2*x^4+4*x^3+2*x^2)/((x^2+2*x+1)*ln(x)+x^3+2*x^2+x))/((x^3+3*x^2+3*x+1)*ln(x)^2+(2*x^4+6*x^3+6*x^2+2*x)*ln(x)+x^5+3*x^4+3*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 x \left(x^{2} \ln \left(x \right)+x^{3}+2 x \ln \left(x \right)+2 x^{2}+4 \ln \left(2\right)+\ln \left(x \right)+x \right)}{\left(x +1\right)^{2} \left(x +\ln \left(x \right)\right)}}$&$43$\\ \hline \end{longtable}"," ",0,"exp(2*x*(x^2*ln(x)+x^3+2*x*ln(x)+2*x^2+4*ln(2)+ln(x)+x)/(x+1)^2/(x+ln(x)))","A"
8114,1,13,14,0.047000," ","int((x*exp(x)*ln(3*x)-1)*exp(exp(x))/x/exp(29)/ln(3*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{{\mathrm e}^{x}-29}}{\ln \left(3 x \right)}$&$13$\\ \hline \end{longtable}"," ",0,"1/ln(3*x)*exp(exp(x)-29)","A"
8115,1,11,11,0.013000," ","int(-exp(2-x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{2-x}-x$&$11$\\ norman&${\mathrm e}^{2-x}-x$&$11$\\ risch&${\mathrm e}^{2-x}-x$&$11$\\ derivativedivides&${\mathrm e}^{2-x}+\ln \left({\mathrm e}^{2-x}\right)$&$15$\\ \hline \end{longtable}"," ",0,"exp(2-x)-x","A"
8116,1,21,20,0.030000," ","int(((-20*x^2+2*x)*exp(x)*ln(25*x)+(10*x^3+29*x^2-2*x)*exp(x))/exp(ln(25*x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(10 x -1\right) x^{2} {\mathrm e}^{-\ln \left(25 x \right)^{2}+x}$&$21$\\ \hline \end{longtable}"," ",0,"(10*x-1)*x^2*exp(-ln(25*x)^2+x)","A"
8117,1,35,29,0.069000," ","int(((4*x^3+4*x^2+x)*ln(x)*ln(ln(x))^2+(16*x^4+20*x^3+6*x^2)*ln(x)*ln(ln(x))+((-8*x^3-8*x^2-3*x)*ln(x)-4*x^2-4*x-1)*ln(2*ln(2))+(16*x^5+24*x^4+9*x^3)*ln(x))/((4*x^3+4*x^2+x)*ln(x)*ln(ln(x))^2+(16*x^4+20*x^3+6*x^2)*ln(x)*ln(ln(x))+(16*x^5+24*x^4+9*x^3)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) \left(2 x +1\right)}{2 x \ln \left(\ln \left(x \right)\right)+4 x^{2}+\ln \left(\ln \left(x \right)\right)+3 x}$&$35$\\ \hline \end{longtable}"," ",0,"x+(ln(2)+ln(ln(2)))*(2*x+1)/(2*x*ln(ln(x))+4*x^2+ln(ln(x))+3*x)","A"
8118,1,131,30,0.111000," ","int(((2*x^4-30*x^3+150*x^2-250*x)*ln(x^2)^2+((-256*x-1280)*ln(x)+256*x-1280)*ln(x^2)+(-512*x+2560)*ln(x))/(x^3-15*x^2+75*x-125)/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(x^{3}-10 x^{2}+25 x +128\right)}{x^{2}-10 x +25}-\frac{128 x \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(\mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{\left(x^{2}-10 x +25\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}$&$131$\\ \hline \end{longtable}"," ",0,"x*(x^3-10*x^2+25*x+128)/(x^2-10*x+25)-128*x*Pi*csgn(I*x^2)*(csgn(I*x)^2-2*csgn(I*x^2)*csgn(I*x)+csgn(I*x^2)^2)/(x^2-10*x+25)/(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)","C"
8119,1,21,17,0.096000," ","int(((2*x*exp(1)*exp(x)^2*ln(x)+(2*x*ln(5)+(2*x^2+22*x)*exp(1))*exp(x)^2)*ln(exp(1)*ln(x)+ln(5)+(11+x)*exp(1))+(x+1)*exp(1)*exp(x)^2)/(x*exp(1)*ln(x)+x*ln(5)+(x^2+11*x)*exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x} \ln \left({\mathrm e} \ln \left(x \right)+\ln \left(5\right)+\left(11+x \right) {\mathrm e}\right)$&$21$\\ \hline \end{longtable}"," ",0,"exp(2*x)*ln(exp(1)*ln(x)+ln(5)+(11+x)*exp(1))","A"
8120,1,11,10,0.017000," ","int(-12/625*x^5*exp(2/625*x^6)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{\frac{2 x^{6}}{625}}$&$11$\\ norman&$x -{\mathrm e}^{\frac{2 x^{6}}{625}}$&$11$\\ risch&$x -{\mathrm e}^{\frac{2 x^{6}}{625}}$&$11$\\ \hline \end{longtable}"," ",0,"x-exp(2/625*x^6)","A"
8121,1,13,13,0.023000," ","int(1/18*(10*x^3-45)*exp(4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{5 \,{\mathrm e}^{4} \left(x^{3}+9\right)}{18 x}$&$13$\\ default&$\frac{5 \,{\mathrm e}^{4} \left(x^{2}+\frac{9}{x}\right)}{18}$&$14$\\ risch&$\frac{5 x^{2} {\mathrm e}^{4}}{18}+\frac{5 \,{\mathrm e}^{4}}{2 x}$&$16$\\ norman&$\frac{\frac{5 x^{3} {\mathrm e}^{4}}{18}+\frac{5 \,{\mathrm e}^{4}}{2}}{x}$&$17$\\ \hline \end{longtable}"," ",0,"5/18*exp(4)*(x^3+9)/x","A"
8122,1,56,21,0.099000," ","int(((64*x^5*exp(x)+64*x^5-48*x^4)*exp(exp(x)+x)^4+(768*x^5*exp(x)+768*x^5-768*x^4)*exp(exp(x)+x)^3+(3072*x^5*exp(x)+3072*x^5-4608*x^4)*exp(exp(x)+x)^2+(4096*x^5*exp(x)+4096*x^5-12288*x^4)*exp(exp(x)+x)-12288*x^4+256*x^3)/(x^2*exp(exp(x)+x)^8+32*x^2*exp(exp(x)+x)^7+448*x^2*exp(exp(x)+x)^6+3584*x^2*exp(exp(x)+x)^5+(17920*x^2-8*x)*exp(exp(x)+x)^4+(57344*x^2-128*x)*exp(exp(x)+x)^3+(114688*x^2-768*x)*exp(exp(x)+x)^2+(131072*x^2-2048*x)*exp(exp(x)+x)+65536*x^2-2048*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{16 x^{4}}{{\mathrm e}^{4 \,{\mathrm e}^{x}+4 x} x +16 \,{\mathrm e}^{3 \,{\mathrm e}^{x}+3 x} x +96 \,{\mathrm e}^{2 \,{\mathrm e}^{x}+2 x} x +256 \,{\mathrm e}^{{\mathrm e}^{x}+x} x +256 x -4}$&$56$\\ \hline \end{longtable}"," ",0,"-16*x^4/(exp(4*exp(x)+4*x)*x+16*exp(3*exp(x)+3*x)*x+96*exp(2*exp(x)+2*x)*x+256*exp(exp(x)+x)*x+256*x-4)","B"
8123,1,15,17,0.086000," ","int(1/5*((-16*x+4)*exp(4*x)-10*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4 \,{\mathrm e}^{4 x}}{5 x}-2 \ln \left(x \right)$&$15$\\ risch&$-\frac{4 \,{\mathrm e}^{4 x}}{5 x}-2 \ln \left(x \right)$&$15$\\ derivativedivides&$-2 \ln \left(4 x \right)-\frac{4 \,{\mathrm e}^{4 x}}{5 x}$&$17$\\ default&$-2 \ln \left(4 x \right)-\frac{4 \,{\mathrm e}^{4 x}}{5 x}$&$17$\\ \hline \end{longtable}"," ",0,"-4/5*exp(4*x)/x-2*ln(x)","A"
8124,1,29,28,0.171000," ","int(((-100*x^4+1000*x^3-2500*x^2)*exp(x)^2+((10*x^3-10*x^2-90*x-150)*exp(5)-140*x^4+980*x^3+700*x^2-10500*x)*exp(x)+(7*x^2+42*x+63)*exp(5)-49*x^4+196*x^3+1274*x^2-2940*x-11025)/((100*x^4-1000*x^3+2500*x^2)*exp(x)^2+(140*x^4-980*x^3-700*x^2+10500*x)*exp(x)+49*x^4-196*x^3-1274*x^2+2940*x+11025),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{{\mathrm e}^{5} \left(3+x \right)}{\left(x -5\right) \left(10 \,{\mathrm e}^{x} x +7 x +21\right)}$&$29$\\ norman&$\frac{-21 x^{2}+\left(175-{\mathrm e}^{5}\right) x +250 \,{\mathrm e}^{x} x -7 x^{3}-10 \,{\mathrm e}^{x} x^{3}+525-3 \,{\mathrm e}^{5}}{10 \,{\mathrm e}^{x} x^{2}-50 \,{\mathrm e}^{x} x +7 x^{2}-14 x -105}$&$62$\\ \hline \end{longtable}"," ",0,"-x-exp(5)*(3+x)/(x-5)/(10*exp(x)*x+7*x+21)","A"
8125,1,28,18,0.028000," ","int(1/5*(-40*x+120)*exp(4)+16*x^3-144*x^2+3872/5*x-7296/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{4 x \left(-5 x^{3}+5 x \,{\mathrm e}^{4}+60 x^{2}-30 \,{\mathrm e}^{4}-484 x +1824\right)}{5}$&$28$\\ norman&$\left(-4 \,{\mathrm e}^{4}+\frac{1936}{5}\right) x^{2}+\left(24 \,{\mathrm e}^{4}-\frac{7296}{5}\right) x -48 x^{3}+4 x^{4}$&$30$\\ risch&$-4 x^{2} {\mathrm e}^{4}+24 x \,{\mathrm e}^{4}+4 x^{4}-48 x^{3}+\frac{1936 x^{2}}{5}-\frac{7296 x}{5}$&$32$\\ default&$\frac{{\mathrm e}^{4} \left(-20 x^{2}+120 x \right)}{5}+4 x^{4}-48 x^{3}+\frac{1936 x^{2}}{5}-\frac{7296 x}{5}$&$33$\\ \hline \end{longtable}"," ",0,"-4/5*x*(-5*x^3+5*x*exp(4)+60*x^2-30*exp(4)-484*x+1824)","A"
8126,1,38,23,0.258000," ","int(((256*x^3*exp(2)-1792*x^3)*ln(1/3*x*ln(3))^3-32*x^4*ln(1/3*x*ln(3))^2-32*x^4*ln(1/3*x*ln(3)))/((64*exp(2)^3-1344*exp(2)^2+9408*exp(2)-21952)*ln(1/3*x*ln(3))^3+(-48*x*exp(2)^2+672*exp(2)*x-2352*x)*ln(1/3*x*ln(3))^2+(12*x^2*exp(2)-84*x^2)*ln(1/3*x*ln(3))-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16 x^{4} \ln \left(\frac{x \ln \left(3\right)}{3}\right)^{2}}{\left(4 \ln \left(\frac{x \ln \left(3\right)}{3}\right) {\mathrm e}^{2}-28 \ln \left(\frac{x \ln \left(3\right)}{3}\right)-x \right)^{2}}$&$38$\\ risch&$\frac{x^{4}}{{\mathrm e}^{4}-14 \,{\mathrm e}^{2}+49}+\frac{x^{5} \left(8 \ln \left(\frac{x \ln \left(3\right)}{3}\right) {\mathrm e}^{2}-x -56 \ln \left(\frac{x \ln \left(3\right)}{3}\right)\right)}{\left({\mathrm e}^{4}-14 \,{\mathrm e}^{2}+49\right) \left(4 \ln \left(\frac{x \ln \left(3\right)}{3}\right) {\mathrm e}^{2}-28 \ln \left(\frac{x \ln \left(3\right)}{3}\right)-x \right)^{2}}$&$76$\\ \hline \end{longtable}"," ",0,"16*x^4*ln(1/3*x*ln(3))^2/(4*ln(1/3*x*ln(3))*exp(2)-28*ln(1/3*x*ln(3))-x)^2","A"
8127,1,47,27,0.050000," ","int((-2*x-28)*exp(x^2+28*x+196)+(2*x^4+4*x^3)*exp(2+x)^2+(-2*x^4-8*x^3-8*x^2-16*x)*exp(2+x)+4*x^3+16*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\left(x +14\right)^{2}}+{\mathrm e}^{2 x +4} x^{4}+\left(-2 x^{4}-8 x^{2}\right) {\mathrm e}^{2+x}+x^{4}+8 x^{2}-x$&$47$\\ norman&$x^{4}+{\mathrm e}^{2 x +4} x^{4}-x +8 x^{2}-8 x^{2} {\mathrm e}^{2+x}-2 \,{\mathrm e}^{2+x} x^{4}-{\mathrm e}^{x^{2}+28 x +196}$&$52$\\ default&$-x -{\mathrm e}^{x^{2}+28 x +196}+{\mathrm e}^{2 x +4} \left(2+x \right)^{4}-8 \,{\mathrm e}^{2 x +4} \left(2+x \right)^{3}+24 \,{\mathrm e}^{2 x +4} \left(2+x \right)^{2}-32 \left(2+x \right) {\mathrm e}^{2 x +4}+16 \,{\mathrm e}^{2 x +4}-56 \,{\mathrm e}^{2+x} \left(2+x \right)^{2}+16 \,{\mathrm e}^{2+x} \left(2+x \right)^{3}+96 \,{\mathrm e}^{2+x} \left(2+x \right)-64 \,{\mathrm e}^{2+x}-2 \,{\mathrm e}^{2+x} \left(2+x \right)^{4}+8 x^{2}+x^{4}$&$129$\\ \hline \end{longtable}"," ",0,"-exp((x+14)^2)+exp(2*x+4)*x^4+(-2*x^4-8*x^2)*exp(2+x)+x^4+8*x^2-x","A"
8128,1,14,14,0.059000," ","int((ln(x)^9+18*ln(x)^8+144*ln(x)^7+672*ln(x)^6+2016*ln(x)^5+4032*ln(x)^4+5376*ln(x)^3+4608*ln(x)^2+(50*x+2304)*ln(x)-100*x+512)/(ln(x)^9+18*ln(x)^8+144*ln(x)^7+672*ln(x)^6+2016*ln(x)^5+4032*ln(x)^4+5376*ln(x)^3+4608*ln(x)^2+2304*ln(x)+512),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{25 x^{2}}{\left(\ln \left(x \right)+2\right)^{8}}$&$14$\\ norman&$\frac{x \ln \left(x \right)^{8}+256 x +25 x^{2}+1024 x \ln \left(x \right)+1792 x \ln \left(x \right)^{2}+1792 x \ln \left(x \right)^{3}+1120 x \ln \left(x \right)^{4}+448 x \ln \left(x \right)^{5}+112 x \ln \left(x \right)^{6}+16 x \ln \left(x \right)^{7}}{\left(\ln \left(x \right)+2\right)^{8}}$&$70$\\ \hline \end{longtable}"," ",0,"x+25/(ln(x)+2)^8*x^2","A"
8129,1,26,18,0.040000," ","int(((32*x^2-128*x)*ln(2*x)+16*x^2-127*x+256)/((16*x^3-128*x^2+256*x)*ln(2*x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(16 x^{2} \ln \left(2 x \right)-128 x \ln \left(2 x \right)+256 \ln \left(2 x \right)+x \right)$&$26$\\ risch&$2 \ln \left(x -4\right)+\ln \left(\ln \left(2 x \right)+\frac{x}{16 x^{2}-128 x +256}\right)$&$27$\\ \hline \end{longtable}"," ",0,"ln(16*x^2*ln(2*x)-128*x*ln(2*x)+256*ln(2*x)+x)","A"
8130,1,740,32,0.537000," ","int(((x*ln(x^2)^3+4*x*ln(x^2)^2-ln(x^2))*ln(ln(x^2))-3*x*ln(x^2)^3+(-4*x^2-14*x)*ln(x^2)^2+(-x*ln(x)+3+x)*ln(x^2)+2*ln(x))/((x^2*ln(x^2)^3-x*ln(x)*ln(x^2))*ln(ln(x^2))+5*x^3*ln(x^2)^5+(-10*x^2*ln(x)-x^3-3*x^2)*ln(x^2)^3+(5*x*ln(x)^2+(x^2+3*x)*ln(x))*ln(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left(\ln \left(x \right)^{2}-\frac{\left(2 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-4 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+2 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}+1\right) \ln \left(x \right)}{4 x}-\frac{\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \left(\mathrm{csgn}\left(i x \right)^{4}-4 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{3}+6 \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{2}-4 \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{4}\right)}{16}\right)-\ln \left(\ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)-\frac{75 x \,\pi^{3} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{5}+4 \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-8 \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+20 \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-30 x \,\pi^{3} \mathrm{csgn}\left(i x \right)^{5} \mathrm{csgn}\left(i x^{2}\right)^{4}+5 x \,\pi^{3} \mathrm{csgn}\left(i x \right)^{6} \mathrm{csgn}\left(i x^{2}\right)^{3}-100 x \,\pi^{3} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{6}+75 x \,\pi^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{7}-30 x \,\pi^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{8}-240 x \ln \left(x \right)^{2} \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-40 \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+48 i \ln \left(x \right)+12 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+80 i \ln \left(x \right)^{2}-320 i x \ln \left(x \right)^{3}+16 i x \ln \left(x \right)+5 x \,\pi^{3} \mathrm{csgn}\left(i x^{2}\right)^{9}+20 \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}+12 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-24 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+60 i \pi^{2} x \mathrm{csgn}\left(i x^{2}\right)^{6} \ln \left(x \right)-240 x \ln \left(x \right)^{2} \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+480 x \ln \left(x \right)^{2} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-240 i \pi^{2} x \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3} \ln \left(x \right)+60 i \pi^{2} x \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2} \ln \left(x \right)-240 i \pi^{2} x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5} \ln \left(x \right)+360 i \pi^{2} x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \ln \left(x \right)}{4 \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}\right)$&$740$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(ln(x)^2-1/4*(2*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)-4*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2+2*I*Pi*x*csgn(I*x^2)^3+1)/x*ln(x)-1/16*Pi^2*csgn(I*x^2)^2*(csgn(I*x)^4-4*csgn(I*x^2)*csgn(I*x)^3+6*csgn(I*x^2)^2*csgn(I*x)^2-4*csgn(I*x^2)^3*csgn(I*x)+csgn(I*x^2)^4))-ln(ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)-1/4*(-40*ln(x)*Pi*csgn(I*x)*csgn(I*x^2)^2-240*x*ln(x)^2*Pi*csgn(I*x^2)^3+20*ln(x)*Pi*csgn(I*x)^2*csgn(I*x^2)-30*x*Pi^3*csgn(I*x)^5*csgn(I*x^2)^4+5*x*Pi^3*csgn(I*x)^6*csgn(I*x^2)^3-100*x*Pi^3*csgn(I*x)^3*csgn(I*x^2)^6+75*x*Pi^3*csgn(I*x)^2*csgn(I*x^2)^7-30*x*Pi^3*csgn(I*x)*csgn(I*x^2)^8+75*x*Pi^3*csgn(I*x)^4*csgn(I*x^2)^5-320*I*x*ln(x)^3+16*I*x*ln(x)+12*Pi*csgn(I*x^2)^3+4*Pi*x*csgn(I*x)^2*csgn(I*x^2)-8*Pi*x*csgn(I*x)*csgn(I*x^2)^2+5*x*Pi^3*csgn(I*x^2)^9+20*ln(x)*Pi*csgn(I*x^2)^3-240*I*Pi^2*x*csgn(I*x)^3*csgn(I*x^2)^3*ln(x)+360*I*Pi^2*x*csgn(I*x)^2*csgn(I*x^2)^4*ln(x)+60*I*Pi^2*x*csgn(I*x)^4*csgn(I*x^2)^2*ln(x)+12*Pi*csgn(I*x)^2*csgn(I*x^2)-24*Pi*csgn(I*x)*csgn(I*x^2)^2+4*Pi*x*csgn(I*x^2)^3+60*I*Pi^2*x*csgn(I*x^2)^6*ln(x)-240*x*ln(x)^2*Pi*csgn(I*x)^2*csgn(I*x^2)+480*x*ln(x)^2*Pi*csgn(I*x)*csgn(I*x^2)^2+80*I*ln(x)^2+48*I*ln(x)-240*I*Pi^2*x*csgn(I*x)*csgn(I*x^2)^5*ln(x))/(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))","C"
8131,1,30,27,0.374000," ","int((((-2*x^4-4*x^2)*exp(x^2)+x^3+2*x)*ln((x^2+2)/x)+(-x^2+2)*exp(x^2)+x^3-2*x)/(x^3+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(\frac{x^{2}+2}{x}\right) {\mathrm e}^{x^{2}}+\ln \left(\frac{x^{2}+2}{x}\right) x$&$30$\\ norman&$-\ln \left(\frac{x^{2}+2}{x}\right) {\mathrm e}^{x^{2}}+\ln \left(\frac{x^{2}+2}{x}\right) x$&$30$\\ risch&$\left(-{\mathrm e}^{x^{2}}+x \right) \ln \left(x^{2}+2\right)-x \ln \left(x \right)+{\mathrm e}^{x^{2}} \ln \left(x \right)+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x^{2}+2\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+2\right)}{x}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x^{2}+2\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+2\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right)}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x^{2}+2\right)}{x}\right)^{3}}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x^{2}+2\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+2\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+2\right)}{x}\right)^{2} {\mathrm e}^{x^{2}}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+2\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+2\right)}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) {\mathrm e}^{x^{2}}}{2}+\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+2\right)}{x}\right)^{3} {\mathrm e}^{x^{2}}}{2}-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+2\right)}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right) {\mathrm e}^{x^{2}}}{2}$&$253$\\ \hline \end{longtable}"," ",0,"-ln((x^2+2)/x)*exp(x^2)+ln((x^2+2)/x)*x","A"
8132,1,21,25,0.032000," ","int((6*x^4+7*x^3-5*x^2-6*x-1)/(x^3+2*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x^{2}-5 x -\ln \left(x \right)-\frac{1}{x +1}$&$21$\\ risch&$3 x^{2}-5 x -\ln \left(x \right)-\frac{1}{x +1}$&$21$\\ norman&$\frac{3 x^{3}-2 x^{2}+4}{x +1}-\ln \left(x \right)$&$24$\\ \hline \end{longtable}"," ",0,"3*x^2-5*x-ln(x)-1/(x+1)","A"
8133,1,34,32,0.471000," ","int((((625*x-625)*exp(1/5)^4+(-500*x^2+500*x)*exp(1/5)^3+(150*x^3-150*x^2-50*x+50)*exp(1/5)^2+(-20*x^4+20*x^3+20*x^2-20*x)*exp(1/5)+x^5-x^4-2*x^3+2*x^2+x-1)*exp(x)+100*exp(1/5)^2+(10*x^2-80*x)*exp(1/5)-2*x^3+12*x^2-4)/(625*x^2*exp(1/5)^4-500*x^3*exp(1/5)^3+(150*x^4-50*x^2)*exp(1/5)^2+(-20*x^5+20*x^3)*exp(1/5)+x^6-2*x^4+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x -4}{\left(25 \,{\mathrm e}^{\frac{2}{5}}-10 x \,{\mathrm e}^{\frac{1}{5}}+x^{2}-1\right) x}+\frac{{\mathrm e}^{x}}{x}$&$34$\\ norman&$\frac{-4+\left(25 \,{\mathrm e}^{\frac{2}{5}}-1\right) {\mathrm e}^{x}+x +{\mathrm e}^{x} x^{2}-10 \,{\mathrm e}^{x} {\mathrm e}^{\frac{1}{5}} x}{x \left(25 \,{\mathrm e}^{\frac{2}{5}}-10 x \,{\mathrm e}^{\frac{1}{5}}+x^{2}-1\right)}$&$50$\\ default&$\text{Expression too large to display}$&$15588$\\ \hline \end{longtable}"," ",0,"25*(1/25*x-4/25)/(25*exp(2/5)-10*x*exp(1/5)+x^2-1)/x+exp(x)/x","A"
8134,1,46,28,0.108000," ","int((((8*x^2-32*x)*ln(3)^2*exp(x)^2+(-8*x^6+8*x^5+96*x^4-16*x^3+64*x^2+48*x)*ln(3)^2*exp(x)+(24*x^9-96*x^8+48*x^6-240*x^5-96*x^2)*ln(3)^2)*ln(x)^2+((8*x-24)*ln(3)^2*exp(x)^2+(-16*x^5+48*x^4-32*x^2+96*x)*ln(3)^2*exp(x)+(8*x^9-24*x^8+32*x^6-96*x^5+32*x^3-96*x^2)*ln(3)^2)*ln(x))/(x^4-9*x^3+27*x^2-27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \left(x^{8}+4 x^{5}-2 \,{\mathrm e}^{x} x^{4}+4 x^{2}-4 \,{\mathrm e}^{x} x +{\mathrm e}^{2 x}\right) \ln \left(3\right)^{2} \ln \left(x \right)^{2}}{\left(x -3\right)^{2}}$&$46$\\ \hline \end{longtable}"," ",0,"4*(x^8+4*x^5-2*exp(x)*x^4+4*x^2-4*exp(x)*x+exp(2*x))*ln(3)^2/(x-3)^2*ln(x)^2","A"
8135,1,12,13,0.029000," ","int(20/9*x^9*ln(5)^8/exp(3)^8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{10} \ln \left(5\right)^{8} {\mathrm e}^{-24}}{9}$&$12$\\ gosper&$\frac{2 x^{10} \ln \left(5\right)^{8} {\mathrm e}^{-24}}{9}$&$14$\\ default&$\frac{2 x^{10} \ln \left(5\right)^{8} {\mathrm e}^{-24}}{9}$&$14$\\ norman&$\frac{2 x^{10} \ln \left(5\right)^{8} {\mathrm e}^{-24}}{9}$&$14$\\ \hline \end{longtable}"," ",0,"2/9*x^10*ln(5)^8*exp(-24)","A"
8136,1,17,30,0.214000," ","int((128*x^4-384*x^3-768*x-512)*exp((64*x^4-384*x^3+320*x^2+768*x+256)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{64 \left(x^{2}-3 x -2\right)^{2}}{x^{2}}}$&$17$\\ gosper&${\mathrm e}^{\frac{64 x^{4}-384 x^{3}+320 x^{2}+768 x +256}{x^{2}}}$&$25$\\ norman&${\mathrm e}^{\frac{64 x^{4}-384 x^{3}+320 x^{2}+768 x +256}{x^{2}}}$&$26$\\ \hline \end{longtable}"," ",0,"exp(64*(x^2-3*x-2)^2/x^2)","A"
8137,1,33,22,0.092000," ","int(((2*x+3)*(ln(2)+I*Pi)+2*x-5)/(ln(2)+I*Pi),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\left(\ln \left(2\right)+i \pi \right) \left(x^{2}+3 x \right)+x^{2}-5 x}{\ln \left(2\right)+i \pi}$&$33$\\ norman&$\frac{\left(\pi^{2}-i \pi +\ln \left(2\right)^{2}+\ln \left(2\right)\right) x^{2}}{\ln \left(2\right)^{2}+\pi^{2}}+\frac{\left(3 \pi^{2}+5 i \pi +3 \ln \left(2\right)^{2}-5 \ln \left(2\right)\right) x}{\ln \left(2\right)^{2}+\pi^{2}}$&$62$\\ gosper&$\frac{x \left(-i x \ln \left(2\right)+\pi  x -3 i \ln \left(2\right)-i x +3 \pi +5 i\right) \left(2 i \pi  x +3 i \pi +2 x \ln \left(2\right)+3 \ln \left(2\right)+2 x -5\right)}{\left(-2 i x \ln \left(2\right)+2 \pi  x -3 i \ln \left(2\right)-2 i x +3 \pi +5 i\right) \left(\ln \left(2\right)+i \pi \right)}$&$86$\\ risch&$\frac{i \pi  \,x^{2}}{\ln \left(2\right)+i \pi}+\frac{3 i \pi  x}{\ln \left(2\right)+i \pi}+\frac{x^{2} \ln \left(2\right)}{\ln \left(2\right)+i \pi}+\frac{3 x \ln \left(2\right)}{\ln \left(2\right)+i \pi}+\frac{x^{2}}{\ln \left(2\right)+i \pi}-\frac{5 x}{\ln \left(2\right)+i \pi}$&$86$\\ \hline \end{longtable}"," ",0,"1/(ln(2)+I*Pi)*((ln(2)+I*Pi)*(x^2+3*x)+x^2-5*x)","A"
8138,1,12,14,0.324000," ","int((-28*x*(x^2+3)^2+7*x^2+21)/(3*x^2+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{7 x \left(x^{3}+6 x -1\right)}{3}$&$12$\\ default&$-\frac{7}{3} x^{4}-14 x^{2}+\frac{7}{3} x$&$15$\\ norman&$-\frac{7}{3} x^{4}-14 x^{2}+\frac{7}{3} x$&$15$\\ risch&$-\frac{7}{3} x^{4}-14 x^{2}+\frac{7}{3} x$&$15$\\ meijerg&$\frac{7 \sqrt{3}\, \arctan \left(\frac{x \sqrt{3}}{3}\right)}{3}+\frac{7 x^{2} \left(-x^{2}+6\right)}{3}-28 x^{2}+\frac{7 \sqrt{3}\, \left(\frac{2 x \sqrt{3}}{3}-2 \arctan \left(\frac{x \sqrt{3}}{3}\right)\right)}{6}$&$52$\\ \hline \end{longtable}"," ",0,"-7/3*x*(x^3+6*x-1)","A"
8139,1,27,24,0.057000," ","int(1/4*(12*x*ln(x)-6*x*exp(5)*ln(2)-3*x*exp(5)*ln(3)-12*x^2-36*x-12)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(3 x +12-3 \ln \left(x \right)+\frac{3 \,{\mathrm e}^{5} \ln \left(2\right)}{2}+\frac{3 \,{\mathrm e}^{5} \ln \left(3\right)}{4}\right) {\mathrm e}^{-x}$&$27$\\ risch&$-3 \ln \left(x \right) {\mathrm e}^{-x}+\frac{3 \left(2 \,{\mathrm e}^{5} \ln \left(2\right)+{\mathrm e}^{5} \ln \left(3\right)+4 x +16\right) {\mathrm e}^{-x}}{4}$&$32$\\ \hline \end{longtable}"," ",0,"(3*x+12-3*ln(x)+3/2*exp(5)*ln(2)+3/4*exp(5)*ln(3))/exp(x)","A"
8140,0,0,28,0.151000," ","int((((4*x^5-5*x^4-40*x^3+54*x^2+100*x-145)*exp(5)*ln((-4*x^3+5*x^2+20*x-29)/(x^2-5))+(4*x^6-5*x^5-40*x^4+54*x^3+100*x^2-145*x)*exp(5))*ln(ln((-4*x^3+5*x^2+20*x-29)/(x^2-5))+x)+(-4*x^6+x^5+40*x^4-14*x^3-92*x^2+45*x)*exp(5))/((4*x^7-5*x^6-40*x^5+54*x^4+100*x^3-145*x^2)*ln((-4*x^3+5*x^2+20*x-29)/(x^2-5))+4*x^8-5*x^7-40*x^6+54*x^5+100*x^4-145*x^3),x)","\[\int \frac{\left(\left(4 x^{5}-5 x^{4}-40 x^{3}+54 x^{2}+100 x -145\right) {\mathrm e}^{5} \ln \left(\frac{-4 x^{3}+5 x^{2}+20 x -29}{x^{2}-5}\right)+\left(4 x^{6}-5 x^{5}-40 x^{4}+54 x^{3}+100 x^{2}-145 x \right) {\mathrm e}^{5}\right) \ln \left(\ln \left(\frac{-4 x^{3}+5 x^{2}+20 x -29}{x^{2}-5}\right)+x \right)+\left(-4 x^{6}+x^{5}+40 x^{4}-14 x^{3}-92 x^{2}+45 x \right) {\mathrm e}^{5}}{\left(4 x^{7}-5 x^{6}-40 x^{5}+54 x^{4}+100 x^{3}-145 x^{2}\right) \ln \left(\frac{-4 x^{3}+5 x^{2}+20 x -29}{x^{2}-5}\right)+4 x^{8}-5 x^{7}-40 x^{6}+54 x^{5}+100 x^{4}-145 x^{3}}\, dx\]"," ",0,"int((((4*x^5-5*x^4-40*x^3+54*x^2+100*x-145)*exp(5)*ln((-4*x^3+5*x^2+20*x-29)/(x^2-5))+(4*x^6-5*x^5-40*x^4+54*x^3+100*x^2-145*x)*exp(5))*ln(ln((-4*x^3+5*x^2+20*x-29)/(x^2-5))+x)+(-4*x^6+x^5+40*x^4-14*x^3-92*x^2+45*x)*exp(5))/((4*x^7-5*x^6-40*x^5+54*x^4+100*x^3-145*x^2)*ln((-4*x^3+5*x^2+20*x-29)/(x^2-5))+4*x^8-5*x^7-40*x^6+54*x^5+100*x^4-145*x^3),x)","F"
8141,1,48,27,0.081000," ","int(((-4*x^3-32*x^2)*ln(x+8)^2+((8*x^3+64*x^2)*exp(x)^2+(80*x^3+640*x^2)*exp(x)+(-4*x-32)*exp(1)+200*x^3+1600*x^2)*ln(x+8)+(-4*x^3-32*x^2)*exp(x)^4+(-80*x^3-640*x^2)*exp(x)^3+((8*x^2+68*x+32)*exp(1)-600*x^3-4800*x^2)*exp(x)^2+((40*x^2+360*x+320)*exp(1)-2000*x^3-16000*x^2)*exp(x)+(96*x+800)*exp(1)-2500*x^3-20000*x^2)/((x^5+8*x^4)*ln(x+8)^2+((-2*x^5-16*x^4)*exp(x)^2+(-20*x^5-160*x^4)*exp(x)+(-2*x^3-16*x^2)*exp(1)-50*x^5-400*x^4)*ln(x+8)+(x^5+8*x^4)*exp(x)^4+(20*x^5+160*x^4)*exp(x)^3+((2*x^3+16*x^2)*exp(1)+150*x^5+1200*x^4)*exp(x)^2+((20*x^3+160*x^2)*exp(1)+500*x^5+4000*x^4)*exp(x)+(x+8)*exp(1)^2+(50*x^3+400*x^2)*exp(1)+625*x^5+5000*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{x}-\frac{4 \,{\mathrm e}}{x \left({\mathrm e}^{2 x} x^{2}+10 \,{\mathrm e}^{x} x^{2}-x^{2} \ln \left(x +8\right)+25 x^{2}+{\mathrm e}\right)}$&$48$\\ \hline \end{longtable}"," ",0,"4/x-4/x*exp(1)/(exp(2*x)*x^2+10*exp(x)*x^2-x^2*ln(x+8)+25*x^2+exp(1))","A"
8142,1,14,13,0.033000," ","int(125/324*x^4*ln(4*x^2)^2+25/81*x^4*ln(4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{25 x^{5} \ln \left(4 x^{2}\right)^{2}}{324}$&$14$\\ risch&$\frac{25 x^{5} \ln \left(4 x^{2}\right)^{2}}{324}$&$14$\\ default&$\frac{25 x^{5} \ln \left(x^{2}\right)^{2}}{324}+\frac{25 x^{5} \ln \left(2\right)^{2}}{81}+\frac{25 \ln \left(2\right) x^{5} \ln \left(x^{2}\right)}{81}$&$33$\\ \hline \end{longtable}"," ",0,"25/324*x^5*ln(4*x^2)^2","A"
8143,1,90,26,0.909000," ","int(((((x^6+x^4+16*x^3)*exp(5)+4*x^6)*ln(3)^2+((2*x^7+12*x^6+2*x^5+44*x^4+64*x^3)*exp(5)+8*x^7+48*x^6)*ln(3)+(x^8+12*x^7+21*x^6+28*x^5+84*x^4+64*x^3)*exp(5)+4*x^8+48*x^7+80*x^6)*exp(1/4*x)-48*x^3*exp(5)*ln(3)^2+((-24*x^6-120*x^4-192*x^3)*exp(5)-96*x^6)*ln(3)+(-24*x^7-48*x^6-72*x^5-240*x^4-192*x^3)*exp(5)-96*x^7-192*x^6)/((4*x^6+12*x^4+12*x^2+4)*exp(5)^3+(48*x^6+96*x^4+48*x^2)*exp(5)^2+(192*x^6+192*x^4)*exp(5)+256*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-6 \ln \left(3\right)-12\right) x^{5}+\left(-3 \ln \left(3\right)^{2}-12 \ln \left(3\right)-12\right) x^{4}+{\mathrm e}^{\frac{x}{4}} x^{6}+\left(2 \ln \left(3\right)+4\right) x^{5} {\mathrm e}^{\frac{x}{4}}+\left(\ln \left(3\right)^{2}+4 \ln \left(3\right)+4\right) x^{4} {\mathrm e}^{\frac{x}{4}}-3 x^{6}}{\left(x^{2} {\mathrm e}^{5}+4 x^{2}+{\mathrm e}^{5}\right)^{2}}$&$90$\\ risch&$-\frac{6 \ln \left(3\right) x}{{\mathrm e}^{10}+8 \,{\mathrm e}^{5}+16}-\frac{3 x^{2}}{{\mathrm e}^{10}+8 \,{\mathrm e}^{5}+16}-\frac{12 x}{{\mathrm e}^{10}+8 \,{\mathrm e}^{5}+16}+\frac{12 \,{\mathrm e}^{5} \left({\mathrm e}^{5} \ln \left(3\right)+2 \,{\mathrm e}^{5}+4 \ln \left(3\right)+8\right) x^{3}+3 \left(2 \,{\mathrm e}^{5} \ln \left(3\right)^{2}+8 \,{\mathrm e}^{5} \ln \left(3\right)+8 \ln \left(3\right)^{2}+5 \,{\mathrm e}^{5}+32 \ln \left(3\right)+32\right) {\mathrm e}^{5} x^{2}+\left(6 \,{\mathrm e}^{10} \ln \left(3\right)+12 \,{\mathrm e}^{10}\right) x +\frac{3 \,{\mathrm e}^{10} \left({\mathrm e}^{5} \ln \left(3\right)^{2}+4 \,{\mathrm e}^{5} \ln \left(3\right)+4 \ln \left(3\right)^{2}+2 \,{\mathrm e}^{5}+16 \ln \left(3\right)+16\right)}{4+{\mathrm e}^{5}}}{\left({\mathrm e}^{10}+8 \,{\mathrm e}^{5}+16\right) \left(x^{4} {\mathrm e}^{10}+8 x^{4} {\mathrm e}^{5}+2 x^{2} {\mathrm e}^{10}+16 x^{4}+8 x^{2} {\mathrm e}^{5}+{\mathrm e}^{10}\right)}+\frac{\left(\ln \left(3\right)^{2}+2 x \ln \left(3\right)+x^{2}+4 \ln \left(3\right)+4 x +4\right) x^{4} {\mathrm e}^{\frac{x}{4}}}{\left(x^{2} {\mathrm e}^{5}+4 x^{2}+{\mathrm e}^{5}\right)^{2}}$&$250$\\ derivativedivides&$\text{Expression too large to display}$&$16028$\\ default&$\text{Expression too large to display}$&$16028$\\ \hline \end{longtable}"," ",0,"((-6*ln(3)-12)*x^5+(-3*ln(3)^2-12*ln(3)-12)*x^4+exp(1/4*x)*x^6+(2*ln(3)+4)*x^5*exp(1/4*x)+(ln(3)^2+4*ln(3)+4)*x^4*exp(1/4*x)-3*x^6)/(x^2*exp(5)+4*x^2+exp(5))^2","B"
8144,1,22,25,0.062000," ","int((4*x^2*ln(x)^2+(-4*x^2*ln(2)+90*exp(5)-4*x^2)*ln(x)+x^2*ln(2)^2+(-45*exp(5)+2*x^2)*ln(2)+45*exp(5)+x^2)/(36*x^2*ln(x)^2+(-36*x^2*ln(2)-36*x^2)*ln(x)+9*x^2*ln(2)^2+18*x^2*ln(2)+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{9}+\frac{5 \,{\mathrm e}^{5}}{\left(1+\ln \left(2\right)-2 \ln \left(x \right)\right) x}$&$22$\\ norman&$\frac{\left(\frac{\ln \left(2\right)}{9}+\frac{1}{9}\right) x^{2}-\frac{2 x^{2} \ln \left(x \right)}{9}+5 \,{\mathrm e}^{5}}{x \left(1+\ln \left(2\right)-2 \ln \left(x \right)\right)}$&$37$\\ \hline \end{longtable}"," ",0,"1/9*x+5*exp(5)/(1+ln(2)-2*ln(x))/x","A"
8145,1,21,21,0.021000," ","int(((27*x^3-38*x^2-8*x)*ln(x)-9*x^3+19*x^2+8*x-20)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{9 x^{3}-19 x^{2}-8 x +20}{\ln \left(x \right)}$&$21$\\ risch&$\frac{9 x^{3}-19 x^{2}-8 x +20}{\ln \left(x \right)}$&$21$\\ default&$\frac{9 x^{3}}{\ln \left(x \right)}-\frac{19 x^{2}}{\ln \left(x \right)}-\frac{8 x}{\ln \left(x \right)}+\frac{20}{\ln \left(x \right)}$&$33$\\ \hline \end{longtable}"," ",0,"(9*x^3-19*x^2-8*x+20)/ln(x)","A"
8146,1,27,27,0.069000," ","int(((-3*x^3+2*x^2)*ln(3*x*ln(3))^2+3*x*ln(3*x*ln(3))-2*ln(2)-3*x)/x/ln(3*x*ln(3))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{3}+x^{2}+\frac{3 x +2 \ln \left(2\right)}{\ln \left(3 x \ln \left(3\right)\right)}$&$27$\\ norman&$\frac{x^{2} \ln \left(3 x \ln \left(3\right)\right)+3 x -x^{3} \ln \left(3 x \ln \left(3\right)\right)+2 \ln \left(2\right)}{\ln \left(3 x \ln \left(3\right)\right)}$&$39$\\ derivativedivides&$x^{2}-x^{3}+\frac{2 \ln \left(2\right)}{\ln \left(3 x \ln \left(3\right)\right)}-\frac{\expIntegralEi \left(1, -\ln \left(3 x \ln \left(3\right)\right)\right)}{\ln \left(3\right)}-\frac{-\frac{3 x \ln \left(3\right)}{\ln \left(3 x \ln \left(3\right)\right)}-\expIntegralEi \left(1, -\ln \left(3 x \ln \left(3\right)\right)\right)}{\ln \left(3\right)}$&$70$\\ default&$x^{2}-x^{3}+\frac{2 \ln \left(2\right)}{\ln \left(3 x \ln \left(3\right)\right)}-\frac{\expIntegralEi \left(1, -\ln \left(3 x \ln \left(3\right)\right)\right)}{\ln \left(3\right)}-\frac{-\frac{3 x \ln \left(3\right)}{\ln \left(3 x \ln \left(3\right)\right)}-\expIntegralEi \left(1, -\ln \left(3 x \ln \left(3\right)\right)\right)}{\ln \left(3\right)}$&$70$\\ \hline \end{longtable}"," ",0,"-x^3+x^2+(3*x+2*ln(2))/ln(3*x*ln(3))","A"
8147,1,84,25,0.063000," ","int((2*x*exp(x^6)^5-10*x^2*exp(x^6)^4+((120*x^9-40*x^3)*exp(2)-240*x^9+100*x^3)*exp(x^6)^3+((-240*x^10+100*x^4)*exp(2)+480*x^10-220*x^4)*exp(x^6)^2+((-600*x^11+150*x^5)*exp(2)^2+(2520*x^11-680*x^5)*exp(2)-2640*x^11+770*x^5)*exp(x^6)-50*x^6*exp(2)^2+220*x^6*exp(2)-242*x^6)/(exp(x^6)^5-5*x*exp(x^6)^4+10*x^2*exp(x^6)^3-10*x^3*exp(x^6)^2+5*x^4*exp(x^6)-x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{5 x^{4} \left(5 x^{2} {\mathrm e}^{4}-22 x^{2} {\mathrm e}^{2}+4 x \,{\mathrm e}^{x^{6}+2}-2 \,{\mathrm e}^{2 \left(x^{2}+1\right) \left(x^{4}-x^{2}+1\right)}+24 x^{2}-8 x \,{\mathrm e}^{x^{6}}+4 \,{\mathrm e}^{2 x^{6}}\right)}{\left(x -{\mathrm e}^{x^{6}}\right)^{4}}$&$84$\\ \hline \end{longtable}"," ",0,"x^2+5*x^4*(5*x^2*exp(4)-22*x^2*exp(2)+4*x*exp(x^6+2)-2*exp(2*(x^2+1)*(x^4-x^2+1))+24*x^2-8*x*exp(x^6)+4*exp(2*x^6))/(x-exp(x^6))^4","B"
8148,1,27,33,0.102000," ","int(((-2*x^2-5*x-3)*ln(x^2+x)+(-2*x^2-5*x-3)*exp(4)^2+x^5+7*x^4+15*x^3+11*x^2+7*x+3)/(x^5+7*x^4+15*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}+{\mathrm e}^{8}-9 x +\ln \left(x^{2}+x \right)}{\left(3+x \right) x}$&$27$\\ risch&$\frac{\ln \left(x^{2}+x \right)}{\left(3+x \right) x}+\frac{x^{3}+{\mathrm e}^{8}+3 x^{2}}{\left(3+x \right) x}$&$37$\\ default&$x -\frac{{\mathrm e}^{8}}{3 \left(3+x \right)}-\frac{\ln \left(x \right)}{2}+\frac{{\mathrm e}^{8}}{3 x}-\frac{1}{3 x}-\frac{\ln \left(x +1\right)}{2}+\frac{1+\frac{x}{3}+\frac{3 \ln \left(x^{2}+x \right) x}{2}+\frac{x^{2} \ln \left(x^{2}+x \right)}{2}+\ln \left(x^{2}+x \right)}{\left(3+x \right) x}$&$74$\\ \hline \end{longtable}"," ",0,"(x^3+exp(4)^2-9*x+ln(x^2+x))/(3+x)/x","A"
8149,1,25,27,0.066000," ","int(1/45*((-3*x^2-4*x)*ln(x)^2-2*x^2*ln(x)+(2*x+1)*exp(4/x))/exp(4/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{45}-\frac{x^{3} \ln \left(x \right)^{2} {\mathrm e}^{-\frac{4}{x}}}{45}+\frac{x^{2}}{45}$&$25$\\ default&$\frac{x}{45}-\frac{x^{3} \ln \left(x \right)^{2} {\mathrm e}^{-\frac{4}{x}}}{45}+\frac{x^{2}}{45}$&$27$\\ norman&$\left(\frac{x \,{\mathrm e}^{\frac{4}{x}}}{45}+\frac{x^{2} {\mathrm e}^{\frac{4}{x}}}{45}-\frac{x^{3} \ln \left(x \right)^{2}}{45}\right) {\mathrm e}^{-\frac{4}{x}}$&$40$\\ \hline \end{longtable}"," ",0,"1/45*x-1/45*x^3*ln(x)^2*exp(-4/x)+1/45*x^2","A"
8150,1,13,14,0.044000," ","int(-5*exp(390622)*exp(1/4*x)/(20*exp(390622)*exp(1/4*x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left({\mathrm e}^{\frac{x}{4}}+\frac{{\mathrm e}^{-390622}}{5}\right)$&$13$\\ derivativedivides&$-\ln \left(20 \,{\mathrm e}^{390622} {\mathrm e}^{\frac{x}{4}}+4\right)$&$14$\\ default&$-\ln \left(5 \,{\mathrm e}^{390622} {\mathrm e}^{\frac{x}{4}}+1\right)$&$14$\\ norman&$-\ln \left(20 \,{\mathrm e}^{390622} {\mathrm e}^{\frac{x}{4}}+4\right)$&$14$\\ \hline \end{longtable}"," ",0,"-ln(exp(1/4*x)+1/5*exp(-390622))","A"
8151,1,25,22,0.316000," ","int(((3*x^4-9*x^3-9*x)*ln(x)*ln(1/ln(x))+(3*x^3-9)*ln(-x^3+3)+4*(-x^3+3)*ln(2)-3*x^4+9*x)/(3*x^4-9*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-x +\ln \left(-x^{3}+3\right)\right) \ln \left(\ln \left(x \right)\right)-\frac{4 \ln \left(2\right) \ln \left(\ln \left(x \right)\right)}{3}$&$25$\\ \hline \end{longtable}"," ",0,"(-x+ln(-x^3+3))*ln(ln(x))-4/3*ln(2)*ln(ln(x))","A"
8152,1,38,31,0.115000," ","int((-8*x^5+4*x^4+99*x^3-51*x^2-270*x+126)*exp((2*(4*x^2-24)*ln(2)-8*x^3+45*x)/(4*x^2-24))/(8*x^6-16*x^5-88*x^4+192*x^3+192*x^2-576*x+288),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{\frac{8 x^{2} \ln \left(2\right)-8 x^{3}-48 \ln \left(2\right)+45 x}{4 x^{2}-24}}}{2 x -2}$&$38$\\ risch&$\frac{{\mathrm e}^{\frac{8 x^{2} \ln \left(2\right)-8 x^{3}-48 \ln \left(2\right)+45 x}{4 x^{2}-24}}}{2 x -2}$&$38$\\ norman&$\frac{\frac{x^{2} {\mathrm e}^{\frac{2 \left(4 x^{2}-24\right) \ln \left(2\right)-8 x^{3}+45 x}{4 x^{2}-24}}}{2}-3 \,{\mathrm e}^{\frac{2 \left(4 x^{2}-24\right) \ln \left(2\right)-8 x^{3}+45 x}{4 x^{2}-24}}}{x^{3}-x^{2}-6 x +6}$&$87$\\ \hline \end{longtable}"," ",0,"1/2*exp(1/4*(8*x^2*ln(2)-8*x^3-48*ln(2)+45*x)/(x^2-6))/(x-1)","A"
8153,1,10,22,0.039000," ","int(1/x/exp(2/exp(4))/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-2 \,{\mathrm e}^{-4}} \ln \left(\ln \left(x \right)\right)$&$10$\\ norman&${\mathrm e}^{-2 \,{\mathrm e}^{-4}} \ln \left(\ln \left(x \right)\right)$&$12$\\ derivativedivides&${\mathrm e}^{-2 \,{\mathrm e}^{-4}} \ln \left(\ln \left(x \right)\right)$&$14$\\ default&${\mathrm e}^{-2 \,{\mathrm e}^{-4}} \ln \left(\ln \left(x \right)\right)$&$14$\\ \hline \end{longtable}"," ",0,"exp(-2*exp(-4))*ln(ln(x))","A"
8154,1,38,30,0.178000," ","int(((3*x^2+2*x+1)*exp((-x^2+1)/x)*exp(1-x)^2+((-3*x^4-3*x^2)*exp(2)-12*x^4-12*x^2)*exp((-x^2+1)/x))/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(3 x^{2} {\mathrm e}^{2}+12 x^{2}-{\mathrm e}^{-2 x +2}\right) {\mathrm e}^{-\frac{\left(x -1\right) \left(x +1\right)}{x}}}{x^{2}}$&$38$\\ norman&$\frac{\left(3 \,{\mathrm e}^{2}+12\right) x^{3} {\mathrm e}^{\frac{-x^{2}+1}{x}}-x \,{\mathrm e}^{-2 x +2} {\mathrm e}^{\frac{-x^{2}+1}{x}}}{x^{3}}$&$51$\\ \hline \end{longtable}"," ",0,"(3*x^2*exp(2)+12*x^2-exp(-2*x+2))/x^2*exp(-(x-1)*(x+1)/x)","A"
8155,1,18,19,0.026000," ","int(1/5*(-ln(20*ln(2))+exp(5))/ln(6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x \left(-\ln \left(20 \ln \left(2\right)\right)+{\mathrm e}^{5}\right)}{5 \ln \left(6\right)}$&$18$\\ norman&$\frac{\left(-\ln \left(20\right)-\ln \left(\ln \left(2\right)\right)+{\mathrm e}^{5}\right) x}{5 \ln \left(6\right)}$&$20$\\ risch&$-\frac{2 x \ln \left(2\right)}{5 \left(\ln \left(2\right)+\ln \left(3\right)\right)}-\frac{x \ln \left(5\right)}{5 \left(\ln \left(2\right)+\ln \left(3\right)\right)}-\frac{x \ln \left(\ln \left(2\right)\right)}{5 \left(\ln \left(2\right)+\ln \left(3\right)\right)}+\frac{x \,{\mathrm e}^{5}}{5 \ln \left(2\right)+5 \ln \left(3\right)}$&$51$\\ \hline \end{longtable}"," ",0,"1/5*x*(-ln(20*ln(2))+exp(5))/ln(6)","A"
8156,1,59,23,0.295000," ","int((((-8*x*exp(2)^3+24*x^2*exp(2)^2-24*x^3*exp(2)+8*x^4)*exp(x)-4*exp(2)^3+12*x*exp(2)^2-12*x^2*exp(2)+4*x^3)*exp(exp(x))^2+((-32*x*exp(2)^3+100*x^2*exp(2)^2-104*x^3*exp(2)+36*x^4)*exp(x)-32*exp(2)^3+104*x*exp(2)^2-108*x^2*exp(2)+36*x^3)*exp(exp(x))-64*exp(2)^3+224*x*exp(2)^2-243*x^2*exp(2)+81*x^3)/(4*exp(2)^3-12*x*exp(2)^2+12*x^2*exp(2)-4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{81 x}{4}+\frac{\frac{9 \,{\mathrm e}^{6}}{2}-\frac{19 x \,{\mathrm e}^{4}}{4}}{{\mathrm e}^{4}-2 \,{\mathrm e}^{2} x +x^{2}}-{\mathrm e}^{2 \,{\mathrm e}^{x}} x -\frac{\left(8 \,{\mathrm e}^{2}-9 x \right) x \,{\mathrm e}^{{\mathrm e}^{x}}}{{\mathrm e}^{2}-x}$&$59$\\ norman&$\frac{56 x \,{\mathrm e}^{4}-\frac{81 x^{3}}{4}-9 x^{3} {\mathrm e}^{{\mathrm e}^{x}}-x^{3} {\mathrm e}^{2 \,{\mathrm e}^{x}}+17 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{x}} x^{2}+2 \,{\mathrm e}^{2} {\mathrm e}^{2 \,{\mathrm e}^{x}} x^{2}-8 \,{\mathrm e}^{4} {\mathrm e}^{{\mathrm e}^{x}} x -{\mathrm e}^{4} {\mathrm e}^{2 \,{\mathrm e}^{x}} x -36 \,{\mathrm e}^{6}}{\left({\mathrm e}^{2}-x \right)^{2}}$&$91$\\ \hline \end{longtable}"," ",0,"-81/4*x+(9/2*exp(6)-19/4*x*exp(4))/(exp(4)-2*exp(2)*x+x^2)-exp(2*exp(x))*x-(8*exp(2)-9*x)*x/(exp(2)-x)*exp(exp(x))","B"
8157,1,17,18,0.042000," ","int(1/45*(9*exp(x)*x^2-2*x^2+4*x+4)/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{5}+\frac{2 \left(x -2\right) {\mathrm e}^{-x}}{45 x}$&$17$\\ default&$\frac{x}{5}+\frac{2 \,{\mathrm e}^{-x}}{45}-\frac{4 \,{\mathrm e}^{-x}}{45 x}$&$20$\\ norman&$\frac{\left(-\frac{4}{45}+\frac{2 x}{45}+\frac{{\mathrm e}^{x} x^{2}}{5}\right) {\mathrm e}^{-x}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"1/5*x+2/45*(x-2)/x*exp(-x)","A"
8158,1,25,32,0.055000," ","int((-4*x*ln(2)*ln(x)+(5*x^2-20*x)*exp(x+2*ln(2))+(-4*x^2+16*x)*ln(2)*exp(x)+(4*x-12)*ln(2)+3*x)/(16*x*ln(2)^2*ln(x)^2+(40*x*ln(2)*exp(x+2*ln(2))-32*x*ln(2)^2*exp(x)-8*x^2*ln(2))*ln(x)+25*x*exp(x+2*ln(2))^2+(-40*x*ln(2)*exp(x)-10*x^2)*exp(x+2*ln(2))+16*x*ln(2)^2*exp(x)^2+8*x^2*ln(2)*exp(x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x -3}{4 \,{\mathrm e}^{x} \ln \left(2\right)-4 \ln \left(2\right) \ln \left(x \right)+x -20 \,{\mathrm e}^{x}}$&$25$\\ \hline \end{longtable}"," ",0,"(x-3)/(4*exp(x)*ln(2)-4*ln(2)*ln(x)+x-20*exp(x))","A"
8159,1,58,19,0.024000," ","int(1/2*((-4*x^2-6*x)*ln(x)^2+(-12*x^3+12*x^2+39*x-9)*ln(x)-8*x^4+38*x^3+19*x^2-52*x+45)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-2 x^{2}-6 x -\frac{9}{2}\right) \ln \left(x \right)^{2}}{2}+\frac{\left(-4 x^{3}+8 x^{2}+51 x \right) \ln \left(x \right)}{2}-x^{4}+7 x^{3}+\frac{11 x^{2}}{4}-\frac{103 x}{2}+\frac{45 \ln \left(x \right)}{2}$&$58$\\ default&$-x^{2} \ln \left(x \right)^{2}+4 x^{2} \ln \left(x \right)+\frac{11 x^{2}}{4}-2 x^{3} \ln \left(x \right)+7 x^{3}-x^{4}-3 x \ln \left(x \right)^{2}+\frac{51 x \ln \left(x \right)}{2}-\frac{103 x}{2}-\frac{9 \ln \left(x \right)^{2}}{4}+\frac{45 \ln \left(x \right)}{2}$&$65$\\ norman&$-x^{2} \ln \left(x \right)^{2}+4 x^{2} \ln \left(x \right)+\frac{11 x^{2}}{4}-2 x^{3} \ln \left(x \right)+7 x^{3}-x^{4}-3 x \ln \left(x \right)^{2}+\frac{51 x \ln \left(x \right)}{2}-\frac{103 x}{2}-\frac{9 \ln \left(x \right)^{2}}{4}+\frac{45 \ln \left(x \right)}{2}$&$65$\\ \hline \end{longtable}"," ",0,"1/2*(-2*x^2-6*x-9/2)*ln(x)^2+1/2*(-4*x^3+8*x^2+51*x)*ln(x)-x^4+7*x^3+11/4*x^2-103/2*x+45/2*ln(x)","B"
8160,1,32,32,0.368000," ","int(((2*(-24*x+72)*ln(2)+48*x^2-96*x-144)*ln((-2*ln(2)+2*x+2)/x)+2*(36*x^2-12*x+72)*ln(2)-72*x^3-72*x^2+24*x-144)/((2*ln(2)-2*x-2)*ln((-2*ln(2)+2*x+2)/x)^2+(2*(-2*x^2+6*x)*ln(2)+4*x^3-8*x^2-12*x)*ln((-2*ln(2)+2*x+2)/x)+2*(x^4-6*x^3+9*x^2)*ln(2)-2*x^5+10*x^4-6*x^3-18*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{12 x \left(x -6\right)}{x^{2}-3 x -\ln \left(\frac{-2 \ln \left(2\right)+2 x +2}{x}\right)}$&$32$\\ norman&$\frac{12 \ln \left(\frac{-2 \ln \left(2\right)+2 x +2}{x}\right)-36 x}{x^{2}-3 x -\ln \left(\frac{-2 \ln \left(2\right)+2 x +2}{x}\right)}$&$47$\\ \hline \end{longtable}"," ",0,"12*x*(x-6)/(x^2-3*x-ln((-2*ln(2)+2*x+2)/x))","A"
8161,1,37,24,0.082000," ","int(((-2*x^3+14*x^2-30*x+18)*exp(1)*exp(x)+(4*x^2-24*x+36)*exp(1)-3*x^4+18*x^3-57*x^2)/(2*x^4-12*x^3+18*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 x}{2}+\frac{\frac{\left(30-4 \,{\mathrm e}\right) x}{2}+6 \,{\mathrm e}}{x \left(x -3\right)}-\frac{{\mathrm e}^{x +1}}{x}$&$37$\\ norman&$\frac{\left(\frac{57}{2}-2 \,{\mathrm e}\right) x -\frac{3 x^{3}}{2}+3 \,{\mathrm e} \,{\mathrm e}^{x}-x \,{\mathrm e} \,{\mathrm e}^{x}+6 \,{\mathrm e}}{x \left(x -3\right)}$&$41$\\ default&$\frac{15}{x -3}-\frac{3 x}{2}-\frac{2 \,{\mathrm e}}{x}+9 \,{\mathrm e} \left(-\frac{5 \expIntegralEi \left(1, -x \right)}{27}-\frac{{\mathrm e}^{x}}{9 x}-\frac{{\mathrm e}^{3} \expIntegralEi \left(1, 3-x \right)}{27}-\frac{{\mathrm e}^{x}}{9 \left(x -3\right)}\right)-15 \,{\mathrm e} \left(-\frac{\expIntegralEi \left(1, -x \right)}{9}-\frac{2 \,{\mathrm e}^{3} \expIntegralEi \left(1, 3-x \right)}{9}-\frac{{\mathrm e}^{x}}{3 \left(x -3\right)}\right)+7 \,{\mathrm e} \left(-\frac{{\mathrm e}^{x}}{x -3}-{\mathrm e}^{3} \expIntegralEi \left(1, 3-x \right)\right)-{\mathrm e} \left(-4 \,{\mathrm e}^{3} \expIntegralEi \left(1, 3-x \right)-\frac{3 \,{\mathrm e}^{x}}{x -3}\right)$&$140$\\ \hline \end{longtable}"," ",0,"-3/2*x+(1/2*(30-4*exp(1))*x+6*exp(1))/x/(x-3)-1/x*exp(x+1)","A"
8162,1,21,17,0.088000," ","int(((-4*x^2*exp(2)-12*x^2)*ln(x)+4*x^2*exp(2)+12*x^2+144*x)/((x^2*exp(2)^2+6*x^2*exp(2)+9*x^2)*ln(x)^2+(-36*exp(2)*x-108*x)*ln(x)+324),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4 x^{2}}{x \,{\mathrm e}^{2} \ln \left(x \right)+3 x \ln \left(x \right)-18}$&$21$\\ risch&$-\frac{4 x^{2}}{x \,{\mathrm e}^{2} \ln \left(x \right)+3 x \ln \left(x \right)-18}$&$21$\\ \hline \end{longtable}"," ",0,"-4*x^2/(x*exp(2)*ln(x)+3*x*ln(x)-18)","A"
8163,1,45,22,0.029000," ","int(((6*x^8+320*x^7+7176*x^6+86232*x^5+575490*x^4+1842184*x^3-16809984*x-33554432)*ln(x)+x^8+64*x^7+1794*x^6+28744*x^5+287745*x^4+1842184*x^3+7364624*x^2+16809984*x+16777216)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{8}+64 x^{7}+1794 x^{6}+28744 x^{5}+287745 x^{4}+1842184 x^{3}+16809984 x +16777216\right) \ln \left(x \right)}{x^{2}}+7364624 \ln \left(x \right)$&$45$\\ default&$287745 x^{2} \ln \left(x \right)+\frac{16809984 \ln \left(x \right)}{x}+7364624 \ln \left(x \right)+28744 x^{3} \ln \left(x \right)+x^{6} \ln \left(x \right)+\frac{16777216 \ln \left(x \right)}{x^{2}}+64 x^{5} \ln \left(x \right)+1794 x^{4} \ln \left(x \right)+1842184 x \ln \left(x \right)$&$59$\\ norman&$\frac{x^{8} \ln \left(x \right)+7364624 x^{2} \ln \left(x \right)+16809984 x \ln \left(x \right)+1842184 x^{3} \ln \left(x \right)+287745 x^{4} \ln \left(x \right)+28744 x^{5} \ln \left(x \right)+1794 x^{6} \ln \left(x \right)+64 x^{7} \ln \left(x \right)+16777216 \ln \left(x \right)}{x^{2}}$&$63$\\ \hline \end{longtable}"," ",0,"(x^8+64*x^7+1794*x^6+28744*x^5+287745*x^4+1842184*x^3+16809984*x+16777216)/x^2*ln(x)+7364624*ln(x)","A"
8164,1,25,21,0.052000," ","int(((-x^4-x^3+4*x^2+3*x)*ln((x^3+x^2-4*x-3)/x)^2-10*x^3-5*x^2-15)/(x^4+x^3-4*x^2-3*x)/ln((x^3+x^2-4*x-3)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\frac{5}{\ln \left(\frac{x^{3}+x^{2}-4 x -3}{x}\right)}$&$25$\\ risch&$-x +\frac{5}{\ln \left(\frac{x^{3}+x^{2}-4 x -3}{x}\right)}$&$25$\\ norman&$\frac{5-x \ln \left(\frac{x^{3}+x^{2}-4 x -3}{x}\right)}{\ln \left(\frac{x^{3}+x^{2}-4 x -3}{x}\right)}$&$41$\\ \hline \end{longtable}"," ",0,"-x+5/ln((x^3+x^2-4*x-3)/x)","A"
8165,1,10,9,0.023000," ","int(x*exp(4/3)+3/2*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(x +{\mathrm e}^{\frac{4}{3}}\right) x^{2}}{2}$&$10$\\ default&$\frac{{\mathrm e}^{\frac{4}{3}} x^{2}}{2}+\frac{x^{3}}{2}$&$14$\\ norman&$\frac{{\mathrm e}^{\frac{4}{3}} x^{2}}{2}+\frac{x^{3}}{2}$&$14$\\ risch&$\frac{{\mathrm e}^{\frac{4}{3}} x^{2}}{2}+\frac{x^{3}}{2}$&$14$\\ \hline \end{longtable}"," ",0,"1/2*(x+exp(4/3))*x^2","A"
8166,1,245,29,0.363000," ","int((((-x^3-3*x^2+4*x)*ln(x)+x^4+3*x^3-4*x^2)*ln(x-ln(x))^2+((x^3+3*x^2-4*x)*ln(x)-x^4-3*x^3+4*x^2)*ln(x-ln(x))+x^3-6*x+5)*exp(ln((-4*ln(x-ln(x))+4)/ln(x-ln(x)))+5+x)/((x*ln(x)-x^2)*ln(x-ln(x))^2+(-x*ln(x)+x^2)*ln(x-ln(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \left(\ln \left(x -\ln \left(x \right)\right) x^{2}-x^{2}+x \ln \left(x -\ln \left(x \right)\right)-x -5 \ln \left(x -\ln \left(x \right)\right)+5\right) {\mathrm e}^{5+\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x -\ln \left(x \right)\right)-1\right)}{\ln \left(x -\ln \left(x \right)\right)}\right)^{3}}{2}+\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x -\ln \left(x \right)\right)-1\right)}{\ln \left(x -\ln \left(x \right)\right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x -\ln \left(x \right)\right)}\right)}{2}+\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x -\ln \left(x \right)\right)-1\right)}{\ln \left(x -\ln \left(x \right)\right)}\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x -\ln \left(x \right)\right)-1\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(\ln \left(x -\ln \left(x \right)\right)-1\right)}{\ln \left(x -\ln \left(x \right)\right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x -\ln \left(x \right)\right)}\right) \mathrm{csgn}\left(i \left(\ln \left(x -\ln \left(x \right)\right)-1\right)\right)}{2}-i \pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x -\ln \left(x \right)\right)-1\right)}{\ln \left(x -\ln \left(x \right)\right)}\right)^{2}+x}}{\ln \left(x -\ln \left(x \right)\right)}$&$245$\\ \hline \end{longtable}"," ",0,"4*(ln(x-ln(x))*x^2-x^2+x*ln(x-ln(x))-x-5*ln(x-ln(x))+5)/ln(x-ln(x))*exp(5+1/2*I*Pi*csgn(I/ln(x-ln(x))*(ln(x-ln(x))-1))^3+1/2*I*Pi*csgn(I/ln(x-ln(x))*(ln(x-ln(x))-1))^2*csgn(I/ln(x-ln(x)))+1/2*I*Pi*csgn(I/ln(x-ln(x))*(ln(x-ln(x))-1))^2*csgn(I*(ln(x-ln(x))-1))-1/2*I*Pi*csgn(I/ln(x-ln(x))*(ln(x-ln(x))-1))*csgn(I/ln(x-ln(x)))*csgn(I*(ln(x-ln(x))-1))-I*Pi*csgn(I/ln(x-ln(x))*(ln(x-ln(x))-1))^2+x)","C"
8167,1,21,27,0.352000," ","int((-16*x*exp(2*ln(2)+2*x)*exp(exp(2*ln(2)+2*x)/(4*x+2))^2-4*x^2-4*x-1)/(4*x^2+4*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 \,{\mathrm e}^{\frac{4 \,{\mathrm e}^{2 x}}{2 x +1}}-x$&$21$\\ norman&$\frac{-x -2 x^{2}-4 \,{\mathrm e}^{\frac{8 \,{\mathrm e}^{2 x}}{4 x +2}}-8 x \,{\mathrm e}^{\frac{8 \,{\mathrm e}^{2 x}}{4 x +2}}}{2 x +1}$&$63$\\ \hline \end{longtable}"," ",0,"-4*exp(4*exp(2*x)/(2*x+1))-x","A"
8168,1,382,22,0.579000," ","int((((2*x*ln(2)-x^2)*ln(1/2*x)^2-6*ln(2)+3*x)*ln(2*x*ln(2)-x^2)+(2*x*ln(2)-2*x^2)*ln(1/2*x)^2+(6*ln(2)-6*x)*ln(1/2*x))/(2*x*ln(2)-x^2)/ln(1/2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-2 i x \ln \left(2\right)+2 i x \ln \left(x \right)+6 i\right) \ln \left(\ln \left(2\right)-\frac{x}{2}\right)}{-2 i \ln \left(2\right)+2 i \ln \left(x \right)}+\frac{-4 x \ln \left(2\right) \ln \left(x \right)+12 \ln \left(2\right)+2 i \pi  x \,\mathrm{csgn}\left(i \left(\ln \left(2\right)-\frac{x}{2}\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(2\right)-\frac{x}{2}\right)\right)^{2} \ln \left(x \right)-2 i \pi  \ln \left(2\right) x \mathrm{csgn}\left(i x \left(\ln \left(2\right)-\frac{x}{2}\right)\right)^{2} \mathrm{csgn}\left(i x \right)+2 i \pi  x \mathrm{csgn}\left(i x \left(\ln \left(2\right)-\frac{x}{2}\right)\right)^{2} \mathrm{csgn}\left(i x \right) \ln \left(x \right)-2 i \pi  x \mathrm{csgn}\left(i x \left(\ln \left(2\right)-\frac{x}{2}\right)\right)^{3} \ln \left(x \right)+4 x \ln \left(x \right)^{2}-6 i \pi  \mathrm{csgn}\left(i x \left(\ln \left(2\right)-\frac{x}{2}\right)\right)^{3}+2 i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(i \left(\ln \left(2\right)-\frac{x}{2}\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(2\right)-\frac{x}{2}\right)\right) \mathrm{csgn}\left(i x \right)-2 i \pi  x \,\mathrm{csgn}\left(i \left(\ln \left(2\right)-\frac{x}{2}\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(2\right)-\frac{x}{2}\right)\right) \mathrm{csgn}\left(i x \right) \ln \left(x \right)+2 i \pi  \ln \left(2\right) x \mathrm{csgn}\left(i x \left(\ln \left(2\right)-\frac{x}{2}\right)\right)^{3}-6 i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(2\right)-\frac{x}{2}\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(2\right)-\frac{x}{2}\right)\right) \mathrm{csgn}\left(i x \right)+6 i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(2\right)-\frac{x}{2}\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(2\right)-\frac{x}{2}\right)\right)^{2}-2 i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(i \left(\ln \left(2\right)-\frac{x}{2}\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(2\right)-\frac{x}{2}\right)\right)^{2}+6 i \pi  \mathrm{csgn}\left(i x \left(\ln \left(2\right)-\frac{x}{2}\right)\right)^{2} \mathrm{csgn}\left(i x \right)}{4 \ln \left(x \right)-4 \ln \left(2\right)}$&$382$\\ \hline \end{longtable}"," ",0,"(-2*I*x*ln(2)+2*I*x*ln(x)+6*I)/(-2*I*ln(2)+2*I*ln(x))*ln(ln(2)-1/2*x)+1/2*(-4*x*ln(2)*ln(x)+12*ln(2)+2*I*Pi*x*csgn(I*(ln(2)-1/2*x))*csgn(I*x*(ln(2)-1/2*x))^2*ln(x)-2*I*Pi*ln(2)*x*csgn(I*x*(ln(2)-1/2*x))^2*csgn(I*x)+2*I*Pi*x*csgn(I*x*(ln(2)-1/2*x))^2*csgn(I*x)*ln(x)-2*I*Pi*x*csgn(I*x*(ln(2)-1/2*x))^3*ln(x)+4*x*ln(x)^2-6*I*Pi*csgn(I*x*(ln(2)-1/2*x))^3+2*I*Pi*ln(2)*x*csgn(I*(ln(2)-1/2*x))*csgn(I*x*(ln(2)-1/2*x))*csgn(I*x)-2*I*Pi*x*csgn(I*(ln(2)-1/2*x))*csgn(I*x*(ln(2)-1/2*x))*csgn(I*x)*ln(x)+2*I*Pi*ln(2)*x*csgn(I*x*(ln(2)-1/2*x))^3-6*I*Pi*csgn(I*(ln(2)-1/2*x))*csgn(I*x*(ln(2)-1/2*x))*csgn(I*x)+6*I*Pi*csgn(I*(ln(2)-1/2*x))*csgn(I*x*(ln(2)-1/2*x))^2-2*I*Pi*ln(2)*x*csgn(I*(ln(2)-1/2*x))*csgn(I*x*(ln(2)-1/2*x))^2+6*I*Pi*csgn(I*x*(ln(2)-1/2*x))^2*csgn(I*x))/(2*ln(x)-2*ln(2))","C"
8169,1,28,30,0.219000," ","int((x*exp(exp((-5*x^3+6*x^2-x-4)/x))+(-10*x^3+6*x^2+4)*exp((-5*x^3+6*x^2-x-4)/x)-x)/x/exp(exp((-5*x^3+6*x^2-x-4)/x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -x \,{\mathrm e}^{-{\mathrm e}^{-\frac{5 x^{3}-6 x^{2}+x +4}{x}}}$&$28$\\ norman&$\left(x \,{\mathrm e}^{{\mathrm e}^{\frac{-5 x^{3}+6 x^{2}-x -4}{x}}}-x \right) {\mathrm e}^{-{\mathrm e}^{\frac{-5 x^{3}+6 x^{2}-x -4}{x}}}$&$52$\\ \hline \end{longtable}"," ",0,"x-x*exp(-exp(-(5*x^3-6*x^2+x+4)/x))","A"
8170,1,21,13,0.100000," ","int(1/18*((6*x+6)*exp(1/x)+x^2+x)/x/exp(1/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{x^{2}}{36}+\frac{x \,{\mathrm e}^{\frac{1}{x}}}{3}\right) {\mathrm e}^{-\frac{2}{x}}$&$21$\\ derivativedivides&$\frac{x^{2} {\mathrm e}^{-\frac{2}{x}}}{36}+\frac{x \,{\mathrm e}^{-\frac{1}{x}}}{3}$&$22$\\ default&$\frac{x^{2} {\mathrm e}^{-\frac{2}{x}}}{36}+\frac{x \,{\mathrm e}^{-\frac{1}{x}}}{3}$&$22$\\ risch&$\frac{x^{2} {\mathrm e}^{-\frac{2}{x}}}{36}+\frac{x \,{\mathrm e}^{-\frac{1}{x}}}{3}$&$22$\\ meijerg&$\frac{5 x}{18}-\frac{5}{18}+\frac{x^{2}}{36}+\frac{x \,{\mathrm e}^{-\frac{2}{x}}}{18}-\frac{x \left(2-\frac{4}{x}\right)}{36}-\frac{x^{2} \left(\frac{36}{x^{2}}-\frac{24}{x}+6\right)}{216}+\frac{x \,{\mathrm e}^{-\frac{1}{x}}}{3}-\frac{x \left(2-\frac{2}{x}\right)}{6}+\frac{x^{2} \left(3-\frac{6}{x}\right) {\mathrm e}^{-\frac{2}{x}}}{108}$&$84$\\ \hline \end{longtable}"," ",0,"(1/36*x^2+1/3*x*exp(1/x))/exp(1/x)^2","A"
8171,1,47,21,0.030000," ","int((32*x*ln(5)^2+(-96*x^2+576*x)*exp(2)*ln(5)+(64*x^3-864*x^2+2592*x+1)*exp(2)^2)/exp(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{4}-288 x^{3}-32 \,{\mathrm e}^{-2} \ln \left(5\right) x^{3}+1296 x^{2}+288 \,{\mathrm e}^{-2} \ln \left(5\right) x^{2}+16 \,{\mathrm e}^{-4} x^{2} \ln \left(5\right)^{2}+x$&$47$\\ default&${\mathrm e}^{-4} \left(16 x^{2} \ln \left(5\right)^{2}+{\mathrm e}^{2} \ln \left(5\right) \left(-32 x^{3}+288 x^{2}\right)+{\mathrm e}^{4} \left(16 x^{4}-288 x^{3}+1296 x^{2}+x \right)\right)$&$54$\\ norman&$\left(\left(-288 \,{\mathrm e}^{2}-32 \ln \left(5\right)\right) x^{3}+{\mathrm e}^{2} x +16 x^{4} {\mathrm e}^{2}+16 \left(81 \,{\mathrm e}^{4}+18 \,{\mathrm e}^{2} \ln \left(5\right)+\ln \left(5\right)^{2}\right) {\mathrm e}^{-2} x^{2}\right) {\mathrm e}^{-2}$&$57$\\ gosper&$x \left(16 x^{3} {\mathrm e}^{4}-288 x^{2} {\mathrm e}^{4}-32 \,{\mathrm e}^{2} \ln \left(5\right) x^{2}+1296 x \,{\mathrm e}^{4}+288 x \,{\mathrm e}^{2} \ln \left(5\right)+16 x \ln \left(5\right)^{2}+{\mathrm e}^{4}\right) {\mathrm e}^{-4}$&$60$\\ \hline \end{longtable}"," ",0,"16*x^4-288*x^3-32*exp(-2)*ln(5)*x^3+1296*x^2+288*exp(-2)*ln(5)*x^2+16*exp(-4)*x^2*ln(5)^2+x","B"
8172,1,17,18,0.064000," ","int((12*x^2+52*x+80)*exp(5)/exp(x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{4 \,{\mathrm e}^{5} \left(3 x +10\right) {\mathrm e}^{-x}}{x^{2}}$&$17$\\ risch&$-\frac{4 \left(3 x +10\right) {\mathrm e}^{5-x}}{x^{2}}$&$17$\\ norman&$\frac{\left(-12 x \,{\mathrm e}^{5}-40 \,{\mathrm e}^{5}\right) {\mathrm e}^{-x}}{x^{2}}$&$19$\\ default&$4 \,{\mathrm e}^{5} \left(-\frac{10 \,{\mathrm e}^{-x}}{x^{2}}-\frac{3 \,{\mathrm e}^{-x}}{x}\right)$&$24$\\ meijerg&$-12 \,{\mathrm e}^{5} \expIntegralEi \left(1, x\right)+52 \,{\mathrm e}^{5} \left(-\frac{1}{x}+1+\frac{-2 x +2}{2 x}-\frac{{\mathrm e}^{-x}}{x}+\expIntegralEi \left(1, x\right)\right)+80 \,{\mathrm e}^{5} \left(-\frac{1}{2 x^{2}}+\frac{1}{x}-\frac{3}{4}+\frac{9 x^{2}-12 x +6}{12 x^{2}}-\frac{\left(-3 x +3\right) {\mathrm e}^{-x}}{6 x^{2}}-\frac{\expIntegralEi \left(1, x\right)}{2}\right)$&$90$\\ \hline \end{longtable}"," ",0,"-4*exp(5)*(3*x+10)/exp(x)/x^2","A"
8173,1,37,28,0.092000," ","int((((exp(1)^2+8*x^2*exp(1)+16*x^4+x)*ln(x)^2+(-exp(1)^2-8*x^2*exp(1)-16*x^4-x)*ln(x)+exp(1)^2+8*x^2*exp(1)+16*x^4+x)*ln(exp(1)^2+8*x^2*exp(1)+16*x^4+x)^2+((exp(1)^2+8*x^2*exp(1)+16*x^4+x)*ln(x)-exp(1)^2-8*x^2*exp(1)-16*x^4-x)*ln(exp(1)^2+8*x^2*exp(1)+16*x^4+x)+(-16*x^2*exp(1)-64*x^4-x)*ln(x))/(exp(1)^2+8*x^2*exp(1)+16*x^4+x)/ln(x)^2/ln(exp(1)^2+8*x^2*exp(1)+16*x^4+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(\ln \left(x \right)-1\right)}{\ln \left(x \right)}+\frac{x}{\ln \left(x \right) \ln \left({\mathrm e}^{2}+8 x^{2} {\mathrm e}+16 x^{4}+x \right)}$&$37$\\ \hline \end{longtable}"," ",0,"x*(ln(x)-1)/ln(x)+x/ln(x)/ln(exp(2)+8*x^2*exp(1)+16*x^4+x)","A"
8174,1,20,17,0.045000," ","int(1/4*(((2*x^4-3*x^3)*exp(x)-2*x^4+11*x^3-9*x^2)*ln(x)+2*x^3-3*x^2)*exp(exp(x))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right) x^{3} \left(2 x -3\right) {\mathrm e}^{{\mathrm e}^{x}-x}}{4}$&$20$\\ \hline \end{longtable}"," ",0,"1/4*ln(x)*x^3*(2*x-3)*exp(exp(x)-x)","A"
8175,1,34,26,0.575000," ","int((((3*x^5+150*x^4+1875*x^3)*ln(3)-x^4-50*x^3-625*x^2)*exp(3*x*ln(3))-5*x^4-248*x^3-3115*x^2-250*x)/((x^4+50*x^3+625*x^2)*exp(3*x*ln(3))^2+(10*x^4+498*x^3+6210*x^2+250*x)*exp(3*x*ln(3))+25*x^4+1240*x^3+15426*x^2+1240*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2} \left(x +25\right)}{27^{x} x^{2}+25 \,27^{x} x +5 x^{2}+124 x +5}$&$34$\\ norman&$\frac{-x^{3}-25 x^{2}}{{\mathrm e}^{3 x \ln \left(3\right)} x^{2}+25 \,{\mathrm e}^{3 x \ln \left(3\right)} x +5 x^{2}+124 x +5}$&$44$\\ \hline \end{longtable}"," ",0,"-x^2*(x+25)/(27^x*x^2+25*27^x*x+5*x^2+124*x+5)","A"
8176,1,51,24,0.149000," ","int(((x^2*exp(x)*exp(3+exp(x))+4*x)*exp(1/4*exp(3+exp(x))+5/4)^2+((x^3-x^2)*exp(x)*exp(3+exp(x))+12*x^2-8*x)*exp(1/4*exp(3+exp(x))+5/4)+8*x^3-12*x^2+4*x)*exp(x^2*exp(1/4*exp(3+exp(x))+5/4)^2+(2*x^3-2*x^2)*exp(1/4*exp(3+exp(x))+5/4)+x^4-2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{x^{2} \left(2 x \,{\mathrm e}^{\frac{{\mathrm e}^{3+{\mathrm e}^{x}}}{4}+\frac{5}{4}}+x^{2}-2 \,{\mathrm e}^{\frac{{\mathrm e}^{3+{\mathrm e}^{x}}}{4}+\frac{5}{4}}+{\mathrm e}^{\frac{{\mathrm e}^{3+{\mathrm e}^{x}}}{2}+\frac{5}{2}}-2 x +1\right)}$&$51$\\ \hline \end{longtable}"," ",0,"2*exp(x^2*(2*x*exp(1/4*exp(3+exp(x))+5/4)+x^2-2*exp(1/4*exp(3+exp(x))+5/4)+exp(1/2*exp(3+exp(x))+5/2)-2*x+1))","B"
8177,1,18,20,0.329000," ","int(((2*x^2-12*x+10)*ln(x)+x^2-7*x+6)/(x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}-2 x \right) \ln \left(x \right)-4 \ln \left(x -5\right)$&$18$\\ default&$x^{2} \ln \left(x \right)-2 x \ln \left(x \right)-4 \ln \left(x -5\right)$&$19$\\ norman&$x^{2} \ln \left(x \right)-2 x \ln \left(x \right)-4 \ln \left(x -5\right)$&$19$\\ \hline \end{longtable}"," ",0,"(x^2-2*x)*ln(x)-4*ln(x-5)","A"
8178,1,38,20,0.077000," ","int((((32*x^3+32*x^2)*exp(x)^2+(8*x^3+56*x^2+40*x)*exp(x)+2*x^2+10*x-1)*exp(16*exp(x)^2*x^2+(8*x^2+40*x)*exp(x)+x^2+10*x+25)-3)/(exp(16*exp(x)^2*x^2+(8*x^2+40*x)*exp(x)+x^2+10*x+25)^2+6*exp(16*exp(x)^2*x^2+(8*x^2+40*x)*exp(x)+x^2+10*x+25)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{{\mathrm e}^{16 \,{\mathrm e}^{2 x} x^{2}+8 \,{\mathrm e}^{x} x^{2}+40 \,{\mathrm e}^{x} x +x^{2}+10 x +25}+3}$&$38$\\ \hline \end{longtable}"," ",0,"-x/(exp(16*exp(2*x)*x^2+8*exp(x)*x^2+40*exp(x)*x+x^2+10*x+25)+3)","A"
8179,1,37,22,0.155000," ","int(((2*x^3-x^2-3*x)*exp(x)-4*x^4+8*x^3-x^2-3*x+1)*exp(((2*x-1)*ln(x+1)+exp(x)-2*x^2-x+1)/(2*x-1))/(4*x^3-3*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{\frac{2 \ln \left(x +1\right) x -2 x^{2}+{\mathrm e}^{x}-\ln \left(x +1\right)-x +1}{2 x -1}}$&$37$\\ \hline \end{longtable}"," ",0,"x*exp((2*ln(x+1)*x-2*x^2+exp(x)-ln(x+1)-x+1)/(2*x-1))","A"
8180,1,14,19,0.306000," ","int(-4/(ln(2)^2+2*x)/ln(ln(2)^2+2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{2}{\ln \left(\ln \left(2\right)^{2}+2 x \right)}$&$14$\\ default&$\frac{2}{\ln \left(\ln \left(2\right)^{2}+2 x \right)}$&$14$\\ norman&$\frac{2}{\ln \left(\ln \left(2\right)^{2}+2 x \right)}$&$14$\\ risch&$\frac{2}{\ln \left(\ln \left(2\right)^{2}+2 x \right)}$&$14$\\ \hline \end{longtable}"," ",0,"2/ln(ln(2)^2+2*x)","A"
8181,1,154,25,44.925000," ","int((((8*x^2+12*x)*exp(4*x^2+12*x+9)*ln(4/x^3)+(8*x^3-12*x^2-37*x+3)*exp(4*x^2+12*x+9))*exp(exp(4*x^2+12*x+9)/(ln(4/x^3)+x-3))-x*ln(4/x^3)^2+(-2*x^2+6*x)*ln(4/x^3)-x^3+6*x^2-9*x)/(x*ln(4/x^3)^2+(2*x^2-6*x)*ln(4/x^3)+x^3-6*x^2+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{\frac{2 \,{\mathrm e}^{\left(2 x +3\right)^{2}}}{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+4 \ln \left(2\right)-6 \ln \left(x \right)+2 x -6}}$&$154$\\ \hline \end{longtable}"," ",0,"-x+exp(2*exp((2*x+3)^2)/(I*Pi*csgn(I*x^2)^3-2*I*Pi*csgn(I*x^2)^2*csgn(I*x)+I*Pi*csgn(I*x^2)*csgn(I*x)^2+I*Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-I*Pi*csgn(I*x^2)*csgn(I*x^3)^2-I*Pi*csgn(I*x)*csgn(I*x^3)^2+I*Pi*csgn(I*x^3)^3+4*ln(2)-6*ln(x)+2*x-6))","C"
8182,1,13,16,0.030000," ","int(((10*x^2+85*x)*exp(5*x^2+85*x+260)+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+{\mathrm e}^{5 \left(x +13\right) \left(4+x \right)}$&$13$\\ default&$\ln \left(x \right)+{\mathrm e}^{5 x^{2}+85 x +260}$&$15$\\ norman&$\ln \left(x \right)+{\mathrm e}^{5 x^{2}+85 x +260}$&$15$\\ \hline \end{longtable}"," ",0,"ln(x)+exp(5*(x+13)*(4+x))","A"
8183,1,61,29,1.583000," ","int((18*exp(x)*exp(exp(x-2))^2+((12*x*exp(4)-12*x^2-60*x)*exp(x)-24*x*exp(x-2)+24)*exp(exp(x-2))+(2*x^2*exp(4)^2+(-4*x^3-20*x^2)*exp(4)+2*x^4+20*x^3+50*x^2)*exp(x)+8*x^2)/(9*exp(x)*exp(exp(x-2))^2+((6*x*exp(4)-6*x^2-30*x)*exp(x)+12*x)*exp(exp(x-2))+(x^2*exp(4)^2+(-2*x^3-10*x^2)*exp(4)+x^4+10*x^3+25*x^2)*exp(x)+4*x^2*exp(4)-4*x^3-20*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 \ln \left(x \,{\mathrm e}^{4}-x^{2}-5 x +3 \,{\mathrm e}^{{\mathrm e}^{x} {\mathrm e}^{-2}}\right)+2 \ln \left(x \,{\mathrm e}^{4} {\mathrm e}^{x}-{\mathrm e}^{x} x^{2}-5 \,{\mathrm e}^{x} x +3 \,{\mathrm e}^{{\mathrm e}^{x} {\mathrm e}^{-2}} {\mathrm e}^{x}+4 x \right)$&$61$\\ risch&$2 x +2 \ln \left({\mathrm e}^{{\mathrm e}^{x -2}}-\frac{\left(x \,{\mathrm e}^{x -4}+5 \,{\mathrm e}^{x -4}-4 \,{\mathrm e}^{-4}-{\mathrm e}^{x}\right) x \,{\mathrm e}^{-x +4}}{3}\right)-2 \ln \left({\mathrm e}^{{\mathrm e}^{x -2}}-\frac{x \left(x \,{\mathrm e}^{-4}+5 \,{\mathrm e}^{-4}-1\right) {\mathrm e}^{4}}{3}\right)$&$68$\\ \hline \end{longtable}"," ",0,"-2*ln(x*exp(4)-x^2-5*x+3*exp(exp(x)*exp(-2)))+2*ln(x*exp(4)*exp(x)-exp(x)*x^2-5*exp(x)*x+3*exp(exp(x)*exp(-2))*exp(x)+4*x)","B"
8184,1,29,24,0.112000," ","int((-2*exp(4)^2+2*x^4)/(exp(4)^3+(-3*x^2+3*x)*exp(4)^2+(3*x^4-6*x^3+3*x^2)*exp(4)-x^6+3*x^5-3*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-x^{2}+2 x^{3}-2 x \,{\mathrm e}^{4}}{\left(-x^{2}+{\mathrm e}^{4}+x \right)^{2}}$&$29$\\ gosper&$-\frac{x \left(-2 x^{2}+2 \,{\mathrm e}^{4}+x \right)}{x^{4}-2 x^{2} {\mathrm e}^{4}-2 x^{3}+{\mathrm e}^{8}+2 x \,{\mathrm e}^{4}+x^{2}}$&$45$\\ risch&$\frac{-x^{2}+2 x^{3}-2 x \,{\mathrm e}^{4}}{x^{4}-2 x^{2} {\mathrm e}^{4}-2 x^{3}+{\mathrm e}^{8}+2 x \,{\mathrm e}^{4}+x^{2}}$&$46$\\ \hline \end{longtable}"," ",0,"(-x^2+2*x^3-2*x*exp(4))/(-x^2+exp(4)+x)^2","A"
8185,1,17,17,0.348000," ","int(((x-exp(1)+2)*ln(exp(1)-x-2)+2*x^2*exp(1)-2*x^3-4*x^2-x)/(x^2*exp(1)-x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left({\mathrm e}-x -2\right)}{x}+2 x$&$17$\\ norman&$\frac{2 x^{2}+\ln \left({\mathrm e}-x -2\right)}{x}$&$19$\\ derivativedivides&$-2 \,{\mathrm e}+2 x +4-\frac{\ln \left(-x \right)}{{\mathrm e}-2}+\frac{\ln \left({\mathrm e}-x -2\right)}{{\mathrm e}-2}+\frac{\ln \left(x \right)}{{\mathrm e}-2}+\frac{\ln \left({\mathrm e}-x -2\right) \left({\mathrm e}-x -2\right)}{\left({\mathrm e}-2\right) x}$&$71$\\ default&$-2 \,{\mathrm e}+2 x +4-\frac{\ln \left(-x \right)}{{\mathrm e}-2}+\frac{\ln \left({\mathrm e}-x -2\right)}{{\mathrm e}-2}+\frac{\ln \left(x \right)}{{\mathrm e}-2}+\frac{\ln \left({\mathrm e}-x -2\right) \left({\mathrm e}-x -2\right)}{\left({\mathrm e}-2\right) x}$&$71$\\ \hline \end{longtable}"," ",0,"ln(exp(1)-x-2)/x+2*x","A"
8186,1,28,29,0.029000," ","int(((-6*x^2*ln(x)+8*x^3-2*x^2+8*x+2)*exp(-x^3*ln(x)+x^4+2*x^2+x+3)-2)/(exp(-x^3*ln(x)+x^4+2*x^2+x+3)^2-2*x*exp(-x^3*ln(x)+x^4+2*x^2+x+3)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{x -x^{-x^{3}} {\mathrm e}^{x^{4}+2 x^{2}+x +3}}$&$28$\\ \hline \end{longtable}"," ",0,"2/(x-x^(-x^3)*exp(x^4+2*x^2+x+3))","A"
8187,1,26,20,0.347000," ","int((((-4*x*ln(3)+4*x^2)*ln(ln(3)-x)-8*x^2*ln(3)+8*x^3+4*x^2)*exp(4*x*ln(ln(3)-x)+4*x^2)+(1-x)*ln(3)+x^2-x)/(ln(3)-x)/exp(exp(4*x*ln(ln(3)-x)+4*x^2)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-\left(\ln \left(3\right)-x \right)^{4 x} {\mathrm e}^{4 x^{2}}-x}$&$26$\\ \hline \end{longtable}"," ",0,"x*exp(-(ln(3)-x)^(4*x)*exp(4*x^2)-x)","A"
8188,1,41,23,0.145000," ","int(((2*x^2-8)*ln((x^2-5*x+4)/x)+(2*x^2-8)*exp(1/676)-x^3+5*x^2-4*x)*exp(ln((x^2-5*x+4)/x)^2+2*exp(1/676)*ln((x^2-5*x+4)/x)+exp(1/676)^2-x)/(x^3-5*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{x^{2}-5 x +4}{x}\right)^{2 \,{\mathrm e}^{\frac{1}{676}}} {\mathrm e}^{\ln \left(\frac{x^{2}-5 x +4}{x}\right)^{2}+{\mathrm e}^{\frac{1}{338}}-x}$&$41$\\ norman&${\mathrm e}^{\ln \left(\frac{x^{2}-5 x +4}{x}\right)^{2}+2 \,{\mathrm e}^{\frac{1}{676}} \ln \left(\frac{x^{2}-5 x +4}{x}\right)+{\mathrm e}^{\frac{1}{338}}-x}$&$42$\\ \hline \end{longtable}"," ",0,"((x^2-5*x+4)/x)^(2*exp(1/676))*exp(ln((x^2-5*x+4)/x)^2+exp(1/338)-x)","A"
8189,1,215,28,2.117000," ","int((2*x*ln(exp(x)^2*x^2)^3+18*x*ln(exp(x)^2*x^2)^2+(2*exp(x)*x+52*x)*ln(exp(x)^2*x^2)+(-2*x-8)*exp(x)+(8*x+8)*ln(2)+8*x^2-144*x-200)/(x*ln(exp(x)^2*x^2)^3+9*x*ln(exp(x)^2*x^2)^2+27*x*ln(exp(x)^2*x^2)+27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{8 \ln \left(2\right)-8 \,{\mathrm e}^{x}-200+8 x}{\left(\pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)^{3}-\pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)^{2} \mathrm{csgn}\left(i x^{2}\right)-\pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+\pi  \,\mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-2 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}+4 i \ln \left(x \right)+4 i \ln \left({\mathrm e}^{x}\right)+6 i\right)^{2}}$&$215$\\ default&$\frac{2 \left(-4 \ln \left({\mathrm e}^{2 x} x^{2}\right)+8 \ln \left(x \right)+8 x -12\right) \ln \left(x \right)^{2}+2 \left(-3 \left(\ln \left({\mathrm e}^{2 x} x^{2}\right)-2 \ln \left({\mathrm e}^{x}\right)-2 \ln \left(x \right)\right)^{2}-12 \left(\ln \left({\mathrm e}^{x}\right)-x \right) \left(\ln \left({\mathrm e}^{2 x} x^{2}\right)-2 \ln \left({\mathrm e}^{x}\right)-2 \ln \left(x \right)\right)-12 \left(\ln \left({\mathrm e}^{x}\right)-x \right)^{2}-18 \ln \left({\mathrm e}^{2 x} x^{2}\right)+36 \ln \left(x \right)+36 x -28\right) x +2 \left(-4 \left(\ln \left({\mathrm e}^{2 x} x^{2}\right)-2 \ln \left({\mathrm e}^{x}\right)-2 \ln \left(x \right)\right)^{2}-16 \left(\ln \left({\mathrm e}^{x}\right)-x \right) \left(\ln \left({\mathrm e}^{2 x} x^{2}\right)-2 \ln \left({\mathrm e}^{x}\right)-2 \ln \left(x \right)\right)-16 \left(\ln \left({\mathrm e}^{x}\right)-x \right)^{2}-24 \ln \left({\mathrm e}^{2 x} x^{2}\right)+48 \ln \left(x \right)+48 x -36\right) \ln \left(x \right)+8 x \ln \left(x \right)^{2}+16 x^{2} \ln \left(x \right)+2 \left(-4 \ln \left({\mathrm e}^{2 x} x^{2}\right)+8 \ln \left(x \right)+8 x -12\right) x \ln \left(x \right)+8 x^{3}-4-2 \left(\ln \left({\mathrm e}^{2 x} x^{2}\right)-2 \ln \left({\mathrm e}^{x}\right)-2 \ln \left(x \right)\right)^{3}-12 \left(\ln \left({\mathrm e}^{2 x} x^{2}\right)-2 \ln \left({\mathrm e}^{x}\right)-2 \ln \left(x \right)\right)^{2} \left(\ln \left({\mathrm e}^{x}\right)-x \right)-24 \left(\ln \left({\mathrm e}^{2 x} x^{2}\right)-2 \ln \left({\mathrm e}^{x}\right)-2 \ln \left(x \right)\right) \left(\ln \left({\mathrm e}^{x}\right)-x \right)^{2}-16 \left(\ln \left({\mathrm e}^{x}\right)-x \right)^{3}-18 \left(\ln \left({\mathrm e}^{2 x} x^{2}\right)-2 \ln \left({\mathrm e}^{x}\right)-2 \ln \left(x \right)\right)^{2}-72 \left(\ln \left({\mathrm e}^{x}\right)-x \right) \left(\ln \left({\mathrm e}^{2 x} x^{2}\right)-2 \ln \left({\mathrm e}^{x}\right)-2 \ln \left(x \right)\right)-72 \left(\ln \left({\mathrm e}^{x}\right)-x \right)^{2}-54 \ln \left({\mathrm e}^{2 x} x^{2}\right)+108 \ln \left(x \right)+108 x}{\left(3+\ln \left({\mathrm e}^{2 x} x^{2}\right)\right)^{2}}-\frac{2 \ln \left(2\right)}{\left(3+\ln \left({\mathrm e}^{2 x} x^{2}\right)\right)^{2}}+\frac{2 \,{\mathrm e}^{x}}{\left(3+\ln \left({\mathrm e}^{2 x} x^{2}\right)\right)^{2}}$&$464$\\ \hline \end{longtable}"," ",0,"2*x+8*(ln(2)-exp(x)-25+x)/(Pi*csgn(I*x^2*exp(2*x))^3-Pi*csgn(I*x^2*exp(2*x))^2*csgn(I*x^2)-Pi*csgn(I*x^2*exp(2*x))^2*csgn(I*exp(2*x))+Pi*csgn(I*x^2*exp(2*x))*csgn(I*x^2)*csgn(I*exp(2*x))+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*exp(x))^2*csgn(I*exp(2*x))-2*Pi*csgn(I*exp(x))*csgn(I*exp(2*x))^2+Pi*csgn(I*exp(2*x))^3+4*I*ln(x)+4*I*ln(exp(x))+6*I)^2","C"
8190,1,13,12,0.379000," ","int((2*x^5+4*x^4-8*x^3)*exp(x)/(27*x^2-54*x+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 x^{4} {\mathrm e}^{x}}{27 \left(x -1\right)}$&$13$\\ norman&$\frac{2 x^{4} {\mathrm e}^{x}}{27 \left(x -1\right)}$&$13$\\ risch&$\frac{2 x^{4} {\mathrm e}^{x}}{27 \left(x -1\right)}$&$13$\\ default&$\frac{2 \,{\mathrm e}^{x} x^{3}}{27}+\frac{2 \,{\mathrm e}^{x} x^{2}}{27}+\frac{2 \,{\mathrm e}^{x} x}{27}+\frac{2 \,{\mathrm e}^{x}}{27}+\frac{2 \,{\mathrm e}^{x}}{27 \left(x -1\right)}$&$34$\\ \hline \end{longtable}"," ",0,"2/27*x^4/(x-1)*exp(x)","A"
8191,1,46,31,0.121000," ","int((((10*x-10)*exp(x)+(-10*x^3+15*x^2-10*x)*ln(5))*exp(x^2-3*x+5)+(-5*x-5)*exp(x)+15*x^2*ln(5))/exp(10)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 \,{\mathrm e}^{-10} x^{3}-\frac{5 x \,{\mathrm e}^{x -10}}{\ln \left(5\right)}+\frac{\left(-5 x^{2} \ln \left(5\right)+5 \,{\mathrm e}^{x}\right) {\mathrm e}^{x^{2}-3 x -5}}{\ln \left(5\right)}$&$46$\\ default&$\frac{{\mathrm e}^{-10} \left(-5 \,{\mathrm e}^{x} x +5 \,{\mathrm e}^{x^{2}-2 x +5}-5 \ln \left(5\right) {\mathrm e}^{x^{2}-3 x +5} x^{2}+5 x^{3} \ln \left(5\right)\right)}{\ln \left(5\right)}$&$50$\\ norman&$5 \,{\mathrm e}^{-10} x^{3}-5 \,{\mathrm e}^{-10} x^{2} {\mathrm e}^{x^{2}-3 x +5}-\frac{5 \,{\mathrm e}^{-10} x \,{\mathrm e}^{x}}{\ln \left(5\right)}+\frac{5 \,{\mathrm e}^{-10} {\mathrm e}^{x} {\mathrm e}^{x^{2}-3 x +5}}{\ln \left(5\right)}$&$63$\\ \hline \end{longtable}"," ",0,"5*exp(-10)*x^3-5*x/ln(5)*exp(x-10)+(-5*x^2*ln(5)+5*exp(x))/ln(5)*exp(x^2-3*x-5)","A"
8192,1,18,17,0.118000," ","int(1/4*(-ln(1/5*x^4*exp(50*x^2))+100*x^2+4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(\frac{x^{4} {\mathrm e}^{50 x^{2}}}{5}\right)}{4 x}$&$18$\\ norman&$\frac{\ln \left(\frac{x^{4} {\mathrm e}^{50 x^{2}}}{5}\right)}{4 x}$&$18$\\ risch&$\frac{\ln \left({\mathrm e}^{50 x^{2}}\right)}{4 x}-\frac{-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{50 x^{2}}\right) \mathrm{csgn}\left(i x^{4} {\mathrm e}^{50 x^{2}}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{4}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)+i \pi  \mathrm{csgn}\left(i x^{4} {\mathrm e}^{50 x^{2}}\right)^{3}-2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \mathrm{csgn}\left(i x^{4} {\mathrm e}^{50 x^{2}}\right)^{2} \mathrm{csgn}\left(i x^{4}\right)+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{50 x^{2}}\right) \mathrm{csgn}\left(i x^{4} {\mathrm e}^{50 x^{2}}\right) \mathrm{csgn}\left(i x^{4}\right)-i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+2 \ln \left(5\right)-8 \ln \left(x \right)}{8 x}$&$333$\\ \hline \end{longtable}"," ",0,"1/4/x*ln(1/5*x^4*exp(50*x^2))","A"
8193,1,22,22,0.195000," ","int(((-2*exp(x)*x-8*x^2-2*x+2)*exp(exp(x)-4)+24*x^2+6*x-6)/(exp(2*x^2+x)*exp(exp(x)-4)^2-6*exp(2*x^2+x)*exp(exp(x)-4)+9*exp(2*x^2+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x \,{\mathrm e}^{-\left(2 x +1\right) x}}{{\mathrm e}^{{\mathrm e}^{x}-4}-3}$&$22$\\ \hline \end{longtable}"," ",0,"2*x/(exp(exp(x)-4)-3)*exp(-(2*x+1)*x)","A"
8194,1,29,25,0.103000," ","int((((25*exp(1)+x^2+125)*ln(exp(1)+1/25*x^2+5)+((25*x^2-50*x+25)*exp(1)+x^4-2*x^3+126*x^2-250*x+125)*exp(2))*ln(ln(exp(1)+1/25*x^2+5)+(x^2-2*x+1)*exp(2))+(((-50*x^2+50*x)*exp(1)-2*x^4+2*x^3-250*x^2+250*x)*exp(2)-2*x^2)*ln(x))/((25*x*exp(1)+x^3+125*x)*ln(exp(1)+1/25*x^2+5)+((25*x^3-50*x^2+25*x)*exp(1)+x^5-2*x^4+126*x^3-250*x^2+125*x)*exp(2))/ln(ln(exp(1)+1/25*x^2+5)+(x^2-2*x+1)*exp(2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{\ln \left(\ln \left({\mathrm e}+\frac{x^{2}}{25}+5\right)+\left(x^{2}-2 x +1\right) {\mathrm e}^{2}\right)}$&$29$\\ \hline \end{longtable}"," ",0,"ln(x)/ln(ln(exp(1)+1/25*x^2+5)+(x^2-2*x+1)*exp(2))","A"
8195,1,143,28,0.154000," ","int((((2*x^2+6*x)*exp(x)^3+(8*x^2+24*x)*exp(x)^2)*ln((4*exp(x)+16)/(3+x))+((2*x^2+6*x)*exp(x)^3+(8*x^2+24*x)*exp(x)^2)*ln(x/ln(3))+(-x^2-3*x-3)*exp(x)-12)/(((x^2+3*x)*exp(x)+4*x^2+12*x)*ln((4*exp(x)+16)/(3+x))+((x^2+3*x)*exp(x)+4*x^2+12*x)*ln(x/ln(3))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x}-\ln \left(\ln \left({\mathrm e}^{x}+4\right)+\frac{i \left(\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+4\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+4\right)}{3+x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+4\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+4\right)}{3+x}\right) \mathrm{csgn}\left(\frac{i}{3+x}\right)-\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+4\right)}{3+x}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x}+4\right)}{3+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{3+x}\right)-4 i \ln \left(2\right)-2 i \ln \left(\frac{x}{\ln \left(3\right)}\right)+2 i \ln \left(3+x \right)\right)}{2}\right)$&$143$\\ \hline \end{longtable}"," ",0,"exp(2*x)-ln(ln(exp(x)+4)+1/2*I*(Pi*csgn(I*(exp(x)+4))*csgn(I/(3+x)*(exp(x)+4))^2-Pi*csgn(I*(exp(x)+4))*csgn(I/(3+x)*(exp(x)+4))*csgn(I/(3+x))-Pi*csgn(I/(3+x)*(exp(x)+4))^3+Pi*csgn(I/(3+x)*(exp(x)+4))^2*csgn(I/(3+x))-4*I*ln(2)-2*I*ln(x/ln(3))+2*I*ln(3+x)))","C"
8196,1,23,23,0.114000," ","int(((x^2-8*x+16)*ln(-x+4)+(-x^2+8*x-16)*ln(2)-x^3+8*x^2-28*x+64)/((4*x^2-16*x)*ln(-x+4)+(-4*x^2+16*x)*ln(2)-4*x^3+32*x^2-64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{4}-\ln \left(x \right)+\ln \left(x -\ln \left(-x +4\right)-4+\ln \left(2\right)\right)$&$23$\\ risch&$\frac{x}{4}-\ln \left(x \right)+\ln \left(-x -\ln \left(2\right)+\ln \left(-x +4\right)+4\right)$&$25$\\ \hline \end{longtable}"," ",0,"1/4*x-ln(x)+ln(x-ln(-x+4)-4+ln(2))","A"
8197,1,17,19,0.043000," ","int(((-3*ln(x)*ln(ln(2))+((x^2-2*x)*exp(x)-6)*ln(x))*ln(ln(x))+ln(ln(2))+exp(x)*x+2)/x^4/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left({\mathrm e}^{x} x +\ln \left(\ln \left(2\right)\right)+2\right) \ln \left(\ln \left(x \right)\right)}{x^{3}}$&$17$\\ \hline \end{longtable}"," ",0,"(exp(x)*x+ln(ln(2))+2)/x^3*ln(ln(x))","A"
8198,1,26,27,0.105000," ","int(((-12*exp(x)*x^2+12*x^2-12*x)*ln(2/x)*exp(exp(x)-x)+120*ln(2/x)-120)/x/ln(2/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$120 \ln \left(x \right)+120 \ln \left(\ln \left(x \right)-\ln \left(2\right)\right)-12 \,{\mathrm e}^{{\mathrm e}^{x}-x} x$&$26$\\ \hline \end{longtable}"," ",0,"120*ln(x)+120*ln(ln(x)-ln(2))-12*exp(exp(x)-x)*x","A"
8199,1,25,19,0.079000," ","int(((7*x^4+5*x^3-3*x^2-x)*ln((-x^2-x)/(7*x^2-2*x-1))^2+9*x^2+2*x+1)/(7*x^4+5*x^3-3*x^2-x)/ln((-x^2-x)/(7*x^2-2*x-1))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{1}{\ln \left(\frac{\left(-x -1\right) x}{7 x^{2}-2 x -1}\right)}$&$25$\\ risch&$x +\frac{1}{\ln \left(\frac{-x^{2}-x}{7 x^{2}-2 x -1}\right)}$&$28$\\ norman&$\frac{1+x \ln \left(\frac{-x^{2}-x}{7 x^{2}-2 x -1}\right)}{\ln \left(\frac{-x^{2}-x}{7 x^{2}-2 x -1}\right)}$&$54$\\ \hline \end{longtable}"," ",0,"x+1/ln((-x-1)*x/(7*x^2-2*x-1))","A"
8200,1,18,18,0.050000," ","int(2/3*(-15*x^4+4*x^3+54*x^2-12*x)*ln(2)*exp(2/3*(-3*x^5+x^4+18*x^3-6*x^2)*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2^{-\frac{2 x^{2} \left(3 x -1\right) \left(x^{2}-6\right)}{3}}$&$18$\\ gosper&${\mathrm e}^{-\frac{2 x^{2} \left(3 x^{3}-x^{2}-18 x +6\right) \ln \left(2\right)}{3}}$&$24$\\ derivativedivides&${\mathrm e}^{\frac{2 \left(-3 x^{5}+x^{4}+18 x^{3}-6 x^{2}\right) \ln \left(2\right)}{3}}$&$25$\\ default&${\mathrm e}^{\frac{2 \left(-3 x^{5}+x^{4}+18 x^{3}-6 x^{2}\right) \ln \left(2\right)}{3}}$&$25$\\ norman&${\mathrm e}^{\frac{2 \left(-3 x^{5}+x^{4}+18 x^{3}-6 x^{2}\right) \ln \left(2\right)}{3}}$&$25$\\ \hline \end{longtable}"," ",0,"2^(-2/3*x^2*(3*x-1)*(x^2-6))","A"
8201,1,18,17,0.065000," ","int(1/2*((66*x-6)*ln(5)*exp(-11*x)*ln(x)-6*ln(5)*exp(-11*x)+3)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 x}{2 \ln \left(5\right)}-3 x \,{\mathrm e}^{-11 x} \ln \left(x \right)$&$18$\\ risch&$\frac{3 x}{2 \ln \left(5\right)}-3 x \,{\mathrm e}^{-11 x} \ln \left(x \right)$&$18$\\ default&$\frac{3 x -6 \ln \left(5\right) {\mathrm e}^{-11 x} \ln \left(x \right) x}{2 \ln \left(5\right)}$&$22$\\ \hline \end{longtable}"," ",0,"3/2*x/ln(5)-3*x*exp(-11*x)*ln(x)","A"
8202,1,27,24,0.124000," ","int(((9*ln(1/x)+9)*ln(2*ln(2))+3*ln(1/x)^2-9*x)/(ln(1/x)^2+6*x*ln(1/x)+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x +\frac{9 \left(-x +\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) x}{\ln \left(\frac{1}{x}\right)+3 x}$&$27$\\ norman&$\frac{\left(-3 \ln \left(2\right)-3 \ln \left(\ln \left(2\right)\right)\right) \ln \left(\frac{1}{x}\right)+3 x \ln \left(\frac{1}{x}\right)}{\ln \left(\frac{1}{x}\right)+3 x}$&$35$\\ derivativedivides&$\frac{3 \ln \left(\frac{1}{x}\right)}{\frac{\ln \left(\frac{1}{x}\right)}{x}+3}+\frac{9 \ln \left(2\right)}{\frac{\ln \left(\frac{1}{x}\right)}{x}+3}+\frac{9 \ln \left(\ln \left(2\right)\right)}{\frac{\ln \left(\frac{1}{x}\right)}{x}+3}$&$53$\\ default&$\frac{3 \ln \left(\frac{1}{x}\right)}{\frac{\ln \left(\frac{1}{x}\right)}{x}+3}+\frac{9 \ln \left(2\right)}{\frac{\ln \left(\frac{1}{x}\right)}{x}+3}+\frac{9 \ln \left(\ln \left(2\right)\right)}{\frac{\ln \left(\frac{1}{x}\right)}{x}+3}$&$53$\\ \hline \end{longtable}"," ",0,"3*x+9*(-x+ln(2)+ln(ln(2)))*x/(ln(1/x)+3*x)","A"
8203,1,11,25,0.021000," ","int((2*x^4+x^3+20)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+x -\frac{10}{x^{2}}$&$11$\\ risch&$x^{2}+x -\frac{10}{x^{2}}$&$11$\\ gosper&$\frac{x^{4}+x^{3}-10}{x^{2}}$&$13$\\ norman&$\frac{x^{4}+x^{3}-10}{x^{2}}$&$13$\\ \hline \end{longtable}"," ",0,"x^2+x-10/x^2","A"
8204,1,23,23,0.120000," ","int(((400*x^3-775*x^2+625*x+625)*exp(5+x)-800*x^2+1250)*exp((25*x*exp(5+x)+50*x)/(16*x^2-15*x+25))/(256*x^4-480*x^3+1025*x^2-750*x+625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{25 x \left({\mathrm e}^{5+x}+2\right)}{16 x^{2}-15 x +25}}$&$23$\\ norman&$\frac{-15 x \,{\mathrm e}^{\frac{25 x \,{\mathrm e}^{5+x}+50 x}{16 x^{2}-15 x +25}}+16 x^{2} {\mathrm e}^{\frac{25 x \,{\mathrm e}^{5+x}+50 x}{16 x^{2}-15 x +25}}+25 \,{\mathrm e}^{\frac{25 x \,{\mathrm e}^{5+x}+50 x}{16 x^{2}-15 x +25}}}{16 x^{2}-15 x +25}$&$100$\\ \hline \end{longtable}"," ",0,"exp(25*x*(exp(5+x)+2)/(16*x^2-15*x+25))","A"
8205,1,20,23,0.046000," ","int((((50*x^3+100*x^2+150*x)*exp(4)*exp(x)-200*x^2*exp(4))*ln(x)+(-50*x^2-150)*exp(4)*exp(x)+(100*x^2+300)*exp(4))/((x^5+6*x^3+9*x)*exp(x)^2+(-4*x^5-24*x^3-36*x)*exp(x)+4*x^5+24*x^3+36*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{50 \,{\mathrm e}^{4} \ln \left(x \right)}{\left(x^{2}+3\right) \left({\mathrm e}^{x}-2\right)}$&$20$\\ \hline \end{longtable}"," ",0,"-50*exp(4)/(x^2+3)/(exp(x)-2)*ln(x)","A"
8206,1,17,17,0.032000," ","int(1/6*(-18*x^2+12)*exp(x^3-2*x)+1/6*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{12}-{\mathrm e}^{x^{3}-2 x}$&$17$\\ norman&$\frac{x^{2}}{12}-{\mathrm e}^{x^{3}-2 x}$&$17$\\ risch&$\frac{x^{2}}{12}-{\mathrm e}^{\left(x^{2}-2\right) x}$&$17$\\ \hline \end{longtable}"," ",0,"1/12*x^2-exp(x^3-2*x)","A"
8207,1,54,22,0.382000," ","int((5*ln(x)*ln(ln(x))+(12*x^4-52*x^3+53*x^2-40*x+125)*ln(x)-2*x+5)/(20*x^2-100*x+125)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(\ln \left(x \right)\right)}{2 \left(2 x -5\right)}-\frac{-8 x^{4}+12 x^{3}+4 x \ln \left(\ln \left(x \right)\right)-16 x^{2}-10 \ln \left(\ln \left(x \right)\right)+90 x +25}{20 \left(2 x -5\right)}$&$54$\\ \hline \end{longtable}"," ",0,"-1/2/(2*x-5)*ln(ln(x))-1/20*(-8*x^4+12*x^3+4*x*ln(ln(x))-16*x^2-10*ln(ln(x))+90*x+25)/(2*x-5)","B"
8208,1,189,25,0.208000," ","int(((x^2*exp(ln(x)/x)^2-8*x^2*exp(ln(x)/x)-x^3+13*x^2)*ln(exp(ln(x)/x)^4-16*exp(ln(x)/x)^3+(-2*x+90)*exp(ln(x)/x)^2+(16*x-208)*exp(ln(x)/x)+x^2-26*x+169)+((-4*x-4)*ln(x)+4*x+4)*exp(ln(x)/x)^2+((16*x+16)*ln(x)-16*x-16)*exp(ln(x)/x)-2*x^3-2*x^2)/(x^2*exp(ln(x)/x)^2-8*x^2*exp(ln(x)/x)-x^3+13*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \ln \left(-x^{\frac{2}{x}}+8 x^{\frac{1}{x}}+x -13\right)-\frac{i \pi  x \mathrm{csgn}\left(i \left(-x^{\frac{2}{x}}+8 x^{\frac{1}{x}}+x -13\right)\right)^{2} \mathrm{csgn}\left(i \left(-x^{\frac{2}{x}}+8 x^{\frac{1}{x}}+x -13\right)^{2}\right)}{2}+i \pi  x \,\mathrm{csgn}\left(i \left(-x^{\frac{2}{x}}+8 x^{\frac{1}{x}}+x -13\right)\right) \mathrm{csgn}\left(i \left(-x^{\frac{2}{x}}+8 x^{\frac{1}{x}}+x -13\right)^{2}\right)^{2}-\frac{i \pi  x \mathrm{csgn}\left(i \left(-x^{\frac{2}{x}}+8 x^{\frac{1}{x}}+x -13\right)^{2}\right)^{3}}{2}+2 \ln \left(x^{\frac{2}{x}}-8 x^{\frac{1}{x}}-x +13\right)$&$189$\\ \hline \end{longtable}"," ",0,"2*x*ln(-(x^(1/x))^2+8*x^(1/x)+x-13)-1/2*I*Pi*x*csgn(I*(-(x^(1/x))^2+8*x^(1/x)+x-13))^2*csgn(I*(-(x^(1/x))^2+8*x^(1/x)+x-13)^2)+I*Pi*x*csgn(I*(-(x^(1/x))^2+8*x^(1/x)+x-13))*csgn(I*(-(x^(1/x))^2+8*x^(1/x)+x-13)^2)^2-1/2*I*Pi*x*csgn(I*(-(x^(1/x))^2+8*x^(1/x)+x-13)^2)^3+2*ln((x^(1/x))^2-8*x^(1/x)-x+13)","C"
8209,1,20,19,0.050000," ","int((-4*x^2*exp(5)*ln(x)+(-2*x^4-4*x^2-2)*exp(5))/(x^5+2*x^3+x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \,{\mathrm e}^{5} \ln \left(\ln \left(x \right)\right)+\frac{2 \,{\mathrm e}^{5}}{x^{2}+1}$&$20$\\ norman&$-2 \,{\mathrm e}^{5} \ln \left(\ln \left(x \right)\right)+\frac{2 \,{\mathrm e}^{5}}{x^{2}+1}$&$20$\\ risch&$-2 \,{\mathrm e}^{5} \ln \left(\ln \left(x \right)\right)+\frac{2 \,{\mathrm e}^{5}}{x^{2}+1}$&$20$\\ \hline \end{longtable}"," ",0,"-2*exp(5)*ln(ln(x))+2*exp(5)/(x^2+1)","A"
8210,1,22,22,0.058000," ","int(((-6*x^4+16*x^3)*exp(3/2-1/2*x)*exp(x)^2+(8*x^7-32*x^6)*exp(3/2-1/2*x)*exp(x))/(exp(x)^3+12*exp(x)^2*x^3+48*x^6*exp(x)+64*x^9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x^{4} {\mathrm e}^{\frac{3}{2}+\frac{x}{2}}}{\left(4 x^{3}+{\mathrm e}^{x}\right)^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"4/(4*x^3+exp(x))^2*x^4*exp(3/2+1/2*x)","A"
8211,1,45,28,0.542000," ","int((-x^2*exp(1)^2*exp(2)^2*ln(3*exp(2))+2*x^2*exp(1)^2*exp(2)^2*ln(2)+(5*x^2*exp(1)^2+8*x*exp(1))*exp(2)^2+x^2*exp(1)^2*exp(2))/(x^2*exp(1)^2*exp(2)^2*ln(3*exp(2))^2+(-4*x^2*exp(1)^2*exp(2)^2*ln(2)+(-10*x^2*exp(1)^2-8*x*exp(1))*exp(2)^2-2*x^2*exp(1)^2*exp(2))*ln(3*exp(2))+4*x^2*exp(1)^2*exp(2)^2*ln(2)^2+2*((10*x^2*exp(1)^2+8*x*exp(1))*exp(2)^2+2*x^2*exp(1)^2*exp(2))*ln(2)+(25*x^2*exp(1)^2+40*x*exp(1)+16)*exp(2)^2+(10*x^2*exp(1)^2+8*x*exp(1))*exp(2)+x^2*exp(1)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2} {\mathrm e} \,{\mathrm e}^{2}}{2 \,{\mathrm e}^{2} {\mathrm e} \ln \left(2\right) x -{\mathrm e}^{2} {\mathrm e} \ln \left(3\right) x +3 x \,{\mathrm e} \,{\mathrm e}^{2}+x \,{\mathrm e}+4 \,{\mathrm e}^{2}}$&$45$\\ gosper&$\frac{x^{2} {\mathrm e}^{3}}{2 \,{\mathrm e}^{2} {\mathrm e} \ln \left(2\right) x -{\mathrm e}^{2} {\mathrm e} \ln \left(3 \,{\mathrm e}^{2}\right) x +5 x \,{\mathrm e} \,{\mathrm e}^{2}+x \,{\mathrm e}+4 \,{\mathrm e}^{2}}$&$46$\\ risch&$\frac{x \,{\mathrm e}^{2}}{2 \,{\mathrm e}^{2} \ln \left(2\right)-{\mathrm e}^{2} \ln \left(3\right)+3 \,{\mathrm e}^{2}+1}+\frac{8 \,{\mathrm e}^{4}}{\left(2 \,{\mathrm e}^{2} \ln \left(2\right)-{\mathrm e}^{2} \ln \left(3\right)+3 \,{\mathrm e}^{2}+1\right)^{2} \left(x \,{\mathrm e}^{2} \ln \left(2\right)-\frac{x \,{\mathrm e}^{2} \ln \left(3\right)}{2}+\frac{3 \,{\mathrm e}^{2} x}{2}+2 \,{\mathrm e}+\frac{x}{2}\right)}$&$78$\\ meijerg&$\frac{4 \left(2 \ln \left(2\right) {\mathrm e}^{6}-\ln \left(3 \,{\mathrm e}^{2}\right) {\mathrm e}^{6}+5 \,{\mathrm e}^{6}+{\mathrm e}^{4}\right) {\mathrm e} \left(\frac{x \,{\mathrm e}^{-1} \left(2 \,{\mathrm e}^{2} \ln \left(2\right)-{\mathrm e}^{2} \ln \left(3 \,{\mathrm e}^{2}\right)+5 \,{\mathrm e}^{2}+1\right) \left(\frac{3 x \,{\mathrm e}^{-1} \left(2 \,{\mathrm e}^{2} \ln \left(2\right)-{\mathrm e}^{2} \ln \left(3 \,{\mathrm e}^{2}\right)+5 \,{\mathrm e}^{2}+1\right)}{4}+6\right)}{12+3 x \,{\mathrm e}^{-1} \left(2 \,{\mathrm e}^{2} \ln \left(2\right)-{\mathrm e}^{2} \ln \left(3 \,{\mathrm e}^{2}\right)+5 \,{\mathrm e}^{2}+1\right)}-2 \ln \left(1+\frac{x \,{\mathrm e}^{-1} \left(2 \,{\mathrm e}^{2} \ln \left(2\right)-{\mathrm e}^{2} \ln \left(3 \,{\mathrm e}^{2}\right)+5 \,{\mathrm e}^{2}+1\right)}{4}\right)\right)}{\left(4 \ln \left(2\right)^{2} {\mathrm e}^{6}-4 \ln \left(2\right) \ln \left(3 \,{\mathrm e}^{2}\right) {\mathrm e}^{6}+\ln \left(3 \,{\mathrm e}^{2}\right)^{2} {\mathrm e}^{6}+4 \,{\mathrm e}^{4} \ln \left(2\right)-2 \,{\mathrm e}^{4} \ln \left(3 \,{\mathrm e}^{2}\right)+20 \ln \left(2\right) {\mathrm e}^{6}-10 \ln \left(3 \,{\mathrm e}^{2}\right) {\mathrm e}^{6}+{\mathrm e}^{2}+10 \,{\mathrm e}^{4}+25 \,{\mathrm e}^{6}\right) \left(2 \,{\mathrm e}^{2} \ln \left(2\right)-{\mathrm e}^{2} \ln \left(3 \,{\mathrm e}^{2}\right)+5 \,{\mathrm e}^{2}+1\right)}+\frac{8 \,{\mathrm e}^{5} \left(-\frac{x \,{\mathrm e}^{-1} \left(2 \,{\mathrm e}^{2} \ln \left(2\right)-{\mathrm e}^{2} \ln \left(3 \,{\mathrm e}^{2}\right)+5 \,{\mathrm e}^{2}+1\right)}{4 \left(1+\frac{x \,{\mathrm e}^{-1} \left(2 \,{\mathrm e}^{2} \ln \left(2\right)-{\mathrm e}^{2} \ln \left(3 \,{\mathrm e}^{2}\right)+5 \,{\mathrm e}^{2}+1\right)}{4}\right)}+\ln \left(1+\frac{x \,{\mathrm e}^{-1} \left(2 \,{\mathrm e}^{2} \ln \left(2\right)-{\mathrm e}^{2} \ln \left(3 \,{\mathrm e}^{2}\right)+5 \,{\mathrm e}^{2}+1\right)}{4}\right)\right)}{4 \ln \left(2\right)^{2} {\mathrm e}^{6}-4 \ln \left(2\right) \ln \left(3 \,{\mathrm e}^{2}\right) {\mathrm e}^{6}+\ln \left(3 \,{\mathrm e}^{2}\right)^{2} {\mathrm e}^{6}+4 \,{\mathrm e}^{4} \ln \left(2\right)-2 \,{\mathrm e}^{4} \ln \left(3 \,{\mathrm e}^{2}\right)+20 \ln \left(2\right) {\mathrm e}^{6}-10 \ln \left(3 \,{\mathrm e}^{2}\right) {\mathrm e}^{6}+{\mathrm e}^{2}+10 \,{\mathrm e}^{4}+25 \,{\mathrm e}^{6}}$&$401$\\ \hline \end{longtable}"," ",0,"x^2*exp(1)*exp(2)/(2*exp(2)*exp(1)*ln(2)*x-exp(2)*exp(1)*ln(3)*x+3*x*exp(1)*exp(2)+x*exp(1)+4*exp(2))","A"
8212,1,18,20,0.031000," ","int((exp(2+x)*exp(225*x^2)+450*x^2-1800*x-1)/exp(225*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2+x}+\left(-x +4\right) {\mathrm e}^{-225 x^{2}}$&$18$\\ default&${\mathrm e}^{2} {\mathrm e}^{x}+4 \,{\mathrm e}^{-225 x^{2}}-x \,{\mathrm e}^{-225 x^{2}}$&$24$\\ norman&$\left(4+{\mathrm e}^{2+x} {\mathrm e}^{225 x^{2}}-x \right) {\mathrm e}^{-225 x^{2}}$&$26$\\ meijerg&$-{\mathrm e}^{2} \left(1-{\mathrm e}^{x}\right)-x \,{\mathrm e}^{-225 x^{2}}-4+4 \,{\mathrm e}^{-225 x^{2}}$&$30$\\ \hline \end{longtable}"," ",0,"exp(2+x)+(-x+4)*exp(-225*x^2)","A"
8213,1,21,18,0.054000," ","int((-8*x*ln(x)-8*ln(3)+8*x)/(x*exp(4096)*ln(x)^2+(8*x*ln(3)-8*x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left(x \right)\right)+\ln \left({\mathrm e}^{4096} \ln \left(x \right)+8 \ln \left(3\right)-8 x \right)$&$21$\\ risch&$-\ln \left(\ln \left(x \right)\right)+\ln \left(\ln \left(x \right)+8 \left(\ln \left(3\right)-x \right) {\mathrm e}^{-4096}\right)$&$21$\\ \hline \end{longtable}"," ",0,"-ln(ln(x))+ln(exp(4096)*ln(x)+8*ln(3)-8*x)","A"
8214,1,22,17,0.039000," ","int((-18*x*ln(x)+36*x^3-24*x^2+22*x-6)/(9*x*ln(x)^2+(36*x^3-12*x^2)*ln(x)+36*x^5-24*x^4+4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-6 x +2}{6 x^{2}+3 \ln \left(x \right)-2 x}$&$22$\\ risch&$-\frac{2 \left(3 x -1\right)}{6 x^{2}+3 \ln \left(x \right)-2 x}$&$23$\\ \hline \end{longtable}"," ",0,"(-6*x+2)/(6*x^2+3*ln(x)-2*x)","A"
8215,1,16,24,0.084000," ","int((x*ln(x*exp(4))^2+x*exp(3)*exp(x)*ln(x*exp(4))-exp(x)*exp(3))/x/exp(3)/ln(x*exp(4))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-3}+\frac{{\mathrm e}^{x}}{\ln \left(x \,{\mathrm e}^{4}\right)}$&$16$\\ default&${\mathrm e}^{-3} \left(x +\frac{{\mathrm e}^{3} {\mathrm e}^{x}}{\ln \left(x \,{\mathrm e}^{4}\right)}\right)$&$20$\\ norman&$\frac{x \,{\mathrm e}^{-3} \ln \left(x \,{\mathrm e}^{4}\right)+{\mathrm e}^{x}}{\ln \left(x \,{\mathrm e}^{4}\right)}$&$23$\\ \hline \end{longtable}"," ",0,"x*exp(-3)+exp(x)/ln(x*exp(4))","A"
8216,1,20,18,0.029000," ","int(((-125*x^4+4*x-5)*exp(3)-4)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-25 x^{5}+2 x^{2}-5 x -4 x \,{\mathrm e}^{-3}$&$20$\\ norman&$2 x^{2}-25 x^{5}-{\mathrm e}^{-3} \left(5 \,{\mathrm e}^{3}+4\right) x$&$25$\\ gosper&$-x \left(25 x^{4} {\mathrm e}^{3}-2 x \,{\mathrm e}^{3}+5 \,{\mathrm e}^{3}+4\right) {\mathrm e}^{-3}$&$26$\\ default&${\mathrm e}^{-3} \left({\mathrm e}^{3} \left(-25 x^{5}+2 x^{2}-5 x \right)-4 x \right)$&$27$\\ \hline \end{longtable}"," ",0,"-25*x^5+2*x^2-5*x-4*x*exp(-3)","A"
8217,1,35,21,0.095000," ","int(((2*x+2)*ln(5)^3+(-6*x^3-6*x^2+24*x+24)*ln(5)^2+(6*x^5+6*x^4-48*x^3-48*x^2+96*x+96)*ln(5)-2*x^7-2*x^6+24*x^5+24*x^4-96*x^3-96*x^2+148*x+128)/(ln(5)^3+(-3*x^2+12)*ln(5)^2+(3*x^4-24*x^2+48)*ln(5)-x^6+12*x^4-48*x^2+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+2 x +\frac{-20 \ln \left(5\right)-80}{\left(-4 \ln \left(5\right)-16\right) \left(-\ln \left(5\right)-4+x^{2}\right)^{2}}$&$35$\\ risch&$x^{2}+2 x +\frac{5}{x^{4}-2 x^{2} \ln \left(5\right)+\ln \left(5\right)^{2}-8 x^{2}+8 \ln \left(5\right)+16}$&$37$\\ norman&$\frac{x^{6}+\left(-4 \ln \left(5\right)-16\right) x^{3}+\left(2 \ln \left(5\right)^{2}+16 \ln \left(5\right)+32\right) x +\left(-3 \ln \left(5\right)^{2}-24 \ln \left(5\right)-48\right) x^{2}+2 x^{5}+2 \ln \left(5\right)^{3}+24 \ln \left(5\right)^{2}+96 \ln \left(5\right)+133}{\left(\ln \left(5\right)+4-x^{2}\right)^{2}}$&$79$\\ gosper&$\frac{x^{6}+2 x^{5}-3 x^{2} \ln \left(5\right)^{2}-4 x^{3} \ln \left(5\right)+2 \ln \left(5\right)^{3}+2 x \ln \left(5\right)^{2}-24 x^{2} \ln \left(5\right)-16 x^{3}+24 \ln \left(5\right)^{2}+16 x \ln \left(5\right)-48 x^{2}+96 \ln \left(5\right)+32 x +133}{x^{4}-2 x^{2} \ln \left(5\right)+\ln \left(5\right)^{2}-8 x^{2}+8 \ln \left(5\right)+16}$&$103$\\ \hline \end{longtable}"," ",0,"x^2+2*x+10*(-2*ln(5)-8)/(-4*ln(5)-16)/(-ln(5)-4+x^2)^2","A"
8218,1,10,10,0.017000," ","int((ln(x)*ln(ln(x))-4*ln(x)+1)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x +x \ln \left(\ln \left(x \right)\right)$&$10$\\ norman&$-4 x +x \ln \left(\ln \left(x \right)\right)$&$10$\\ risch&$-4 x +x \ln \left(\ln \left(x \right)\right)$&$10$\\ \hline \end{longtable}"," ",0,"-4*x+x*ln(ln(x))","A"
8219,1,36,23,0.118000," ","int((((6*x*ln(2)^2+3)*exp(x)-6*x^2*ln(2)^2-3)*exp(x^2*ln(2)^2)-12*exp(x)+9)/((exp(x)-x)*exp(x^2*ln(2)^2)-4*exp(x)+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$3 \ln \left({\mathrm e}^{x^{2} \ln \left(2\right)^{2}} x -{\mathrm e}^{x^{2} \ln \left(2\right)^{2}} {\mathrm e}^{x}-3 x +4 \,{\mathrm e}^{x}\right)$&$36$\\ risch&$3 \ln \left({\mathrm e}^{x}-x \right)+3 \ln \left({\mathrm e}^{x^{2} \ln \left(2\right)^{2}}-\frac{3 x -4 \,{\mathrm e}^{x}}{x -{\mathrm e}^{x}}\right)$&$42$\\ \hline \end{longtable}"," ",0,"3*ln(exp(x^2*ln(2)^2)*x-exp(x^2*ln(2)^2)*exp(x)-3*x+4*exp(x))","A"
8220,1,28,18,0.353000," ","int((2*exp(2)*x+x^2+8*x+16)*exp(((2+x)*exp(2)+(4+x)*exp(1))/(4+x))/(5*x^2+40*x+80),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{\frac{{\mathrm e}^{2} x +x \,{\mathrm e}+2 \,{\mathrm e}^{2}+4 \,{\mathrm e}}{4+x}} x}{5}$&$28$\\ risch&$\frac{{\mathrm e}^{\frac{{\mathrm e}^{2} x +x \,{\mathrm e}+2 \,{\mathrm e}^{2}+4 \,{\mathrm e}}{4+x}} x}{5}$&$28$\\ derivativedivides&$\frac{2 \,{\mathrm e}^{2} \left(\frac{{\mathrm e}^{{\mathrm e}^{2}+{\mathrm e}-\frac{2 \,{\mathrm e}^{2}}{4+x}} {\mathrm e}^{-2} \left(4+x \right)}{2}-2 \,{\mathrm e}^{{\mathrm e}^{2}+{\mathrm e}-\frac{2 \,{\mathrm e}^{2}}{4+x}} {\mathrm e}^{-2}\right)}{5}$&$51$\\ default&$\frac{2 \,{\mathrm e}^{2} \left(\frac{{\mathrm e}^{{\mathrm e}^{2}+{\mathrm e}-\frac{2 \,{\mathrm e}^{2}}{4+x}} {\mathrm e}^{-2} \left(4+x \right)}{2}-2 \,{\mathrm e}^{{\mathrm e}^{2}+{\mathrm e}-\frac{2 \,{\mathrm e}^{2}}{4+x}} {\mathrm e}^{-2}\right)}{5}$&$51$\\ norman&$\frac{\frac{4 x \,{\mathrm e}^{\frac{\left(2+x \right) {\mathrm e}^{2}+\left(4+x \right) {\mathrm e}}{4+x}}}{5}+\frac{x^{2} {\mathrm e}^{\frac{\left(2+x \right) {\mathrm e}^{2}+\left(4+x \right) {\mathrm e}}{4+x}}}{5}}{4+x}$&$56$\\ \hline \end{longtable}"," ",0,"1/5*exp((exp(2)*x+x*exp(1)+2*exp(2)+4*exp(1))/(4+x))*x","A"
8221,1,25,22,0.036000," ","int(((10*x*ln(x)-5*x)*exp(5/4*x^2/ln(x))+(4*exp(-x+4)-4)*ln(x)^2)/(4*ln(x)^2*exp(5/4*x^2/ln(x))+(-4*exp(-x+4)-4*x-28)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{\frac{5 x^{2}}{4 \ln \left(x \right)}}-{\mathrm e}^{-x +4}-x -7\right)$&$25$\\ \hline \end{longtable}"," ",0,"ln(exp(5/4*x^2/ln(x))-exp(-x+4)-x-7)","A"
8222,1,35,28,0.255000," ","int((((50*x^4-175*x^3)*exp(2*x)-25*x^3-175*x-200)*exp(((x^3-4*x^2)*exp(2*x)-x^3+2*x^2+7*x+4)/x^2)-5*x^3)/(25*x^3*exp(((x^3-4*x^2)*exp(2*x)-x^3+2*x^2+7*x+4)/x^2)^2-10*x^4*exp(((x^3-4*x^2)*exp(2*x)-x^3+2*x^2+7*x+4)/x^2)+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{x -5 \,{\mathrm e}^{\frac{\left(x -4\right) \left({\mathrm e}^{2 x} x^{2}-x^{2}-2 x -1\right)}{x^{2}}}}$&$35$\\ \hline \end{longtable}"," ",0,"5/(x-5*exp((x-4)*(exp(2*x)*x^2-x^2-2*x-1)/x^2))","A"
8223,1,9,10,0.026000," ","int((x^2+2*x)*exp(2)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{2} {\mathrm e}^{2+x}$&$9$\\ default&$x^{2} {\mathrm e}^{2} {\mathrm e}^{x}$&$9$\\ norman&$x^{2} {\mathrm e}^{2} {\mathrm e}^{x}$&$9$\\ risch&$x^{2} {\mathrm e}^{2+x}$&$9$\\ meijerg&$-{\mathrm e}^{2} \left(2-\frac{\left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}}{3}\right)+2 \,{\mathrm e}^{2} \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)$&$37$\\ \hline \end{longtable}"," ",0,"x^2*exp(2+x)","A"
8224,1,28,21,0.055000," ","int(1/5*((5*exp(3)-75)*exp(5/x)-2*x^3*exp(3)+30*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$3 x^{2}-\frac{x^{2} {\mathrm e}^{3}}{5}+\frac{\left(15-{\mathrm e}^{3}\right) {\mathrm e}^{\frac{5}{x}}}{5}$&$28$\\ default&$3 x^{2}-\frac{x^{2} {\mathrm e}^{3}}{5}+\frac{\left(75-5 \,{\mathrm e}^{3}\right) {\mathrm e}^{\frac{5}{x}}}{25}$&$28$\\ norman&$\frac{\left(3-\frac{{\mathrm e}^{3}}{5}\right) x^{3}+\left(3-\frac{{\mathrm e}^{3}}{5}\right) x \,{\mathrm e}^{\frac{5}{x}}}{x}$&$30$\\ risch&$3 x^{2}-\frac{x^{2} {\mathrm e}^{3}}{5}+3 \,{\mathrm e}^{\frac{5}{x}}-\frac{{\mathrm e}^{\frac{5}{x}} {\mathrm e}^{3}}{5}$&$32$\\ \hline \end{longtable}"," ",0,"3*x^2-1/5*x^2*exp(3)+1/5*(15-exp(3))*exp(5/x)","A"
8225,1,27,14,0.415000," ","int((30*exp(1)^2+36*exp(1))*exp(((4*x-25)*exp(1)-30)/((2*x-5)*exp(1)-6))/((4*x^2-20*x+25)*exp(1)^2+(-24*x+60)*exp(1)+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{4 x \,{\mathrm e}-25 \,{\mathrm e}-30}{2 x \,{\mathrm e}-5 \,{\mathrm e}-6}}$&$27$\\ derivativedivides&$-\frac{\left(5 \,{\mathrm e}^{2}+6 \,{\mathrm e}\right) {\mathrm e}^{-1} \left(-15 \,{\mathrm e}-18\right) {\mathrm e}^{2+\frac{-15 \,{\mathrm e}-18}{2 x \,{\mathrm e}-5 \,{\mathrm e}-6}}}{3 \left(25 \,{\mathrm e}^{2}+60 \,{\mathrm e}+36\right)}$&$61$\\ default&$-\frac{\left(30 \,{\mathrm e}^{2}+36 \,{\mathrm e}\right) {\mathrm e}^{-1} \left(-15 \,{\mathrm e}-18\right) {\mathrm e}^{2+\frac{-15 \,{\mathrm e}-18}{2 x \,{\mathrm e}-5 \,{\mathrm e}-6}}}{18 \left(25 \,{\mathrm e}^{2}+60 \,{\mathrm e}+36\right)}$&$61$\\ norman&$\frac{\left(-5 \,{\mathrm e}-6\right) {\mathrm e}^{\frac{\left(4 x -25\right) {\mathrm e}-30}{\left(2 x -5\right) {\mathrm e}-6}}+2 x \,{\mathrm e} \,{\mathrm e}^{\frac{\left(4 x -25\right) {\mathrm e}-30}{\left(2 x -5\right) {\mathrm e}-6}}}{2 x \,{\mathrm e}-5 \,{\mathrm e}-6}$&$76$\\ risch&$\frac{5 \,{\mathrm e}^{\frac{2 x \,{\mathrm e}-20 \,{\mathrm e}-24}{2 x \,{\mathrm e}-5 \,{\mathrm e}-6}} {\mathrm e}^{2}}{5 \,{\mathrm e}+6}+\frac{6 \,{\mathrm e}^{\frac{2 x \,{\mathrm e}-20 \,{\mathrm e}-24}{2 x \,{\mathrm e}-5 \,{\mathrm e}-6}} {\mathrm e}}{5 \,{\mathrm e}+6}$&$78$\\ \hline \end{longtable}"," ",0,"exp((4*x*exp(1)-25*exp(1)-30)/(2*x*exp(1)-5*exp(1)-6))","A"
8226,1,16,15,0.265000," ","int((-x^2*exp(16)*exp(exp(16)/(x+26))-5*x^2-260*x-3380)/(x^4+52*x^3+676*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{16}}{x +26}}+\frac{5}{x}$&$16$\\ norman&$\frac{130+x^{2} {\mathrm e}^{\frac{{\mathrm e}^{16}}{x +26}}+5 x +26 x \,{\mathrm e}^{\frac{{\mathrm e}^{16}}{x +26}}}{x \left(x +26\right)}$&$40$\\ derivativedivides&$-{\mathrm e}^{16} \left(-\frac{5}{\left(x +26\right) \left({\mathrm e}^{16}-\frac{26 \,{\mathrm e}^{16}}{x +26}\right)}-{\mathrm e}^{48} \left(\frac{{\mathrm e}^{\frac{{\mathrm e}^{16}}{x +26}} {\mathrm e}^{-32}}{26 \,{\mathrm e}^{16}-\frac{676 \,{\mathrm e}^{16}}{x +26}}-\frac{{\mathrm e}^{-32} {\mathrm e}^{\frac{{\mathrm e}^{16}}{26}} \expIntegralEi \left(1, \frac{{\mathrm e}^{16}}{26}-\frac{{\mathrm e}^{16}}{x +26}\right)}{676}\right)+52 \,{\mathrm e}^{32} \left(\frac{{\mathrm e}^{\frac{{\mathrm e}^{16}}{x +26}} {\mathrm e}^{-16}}{676 \,{\mathrm e}^{16}-\frac{17576 \,{\mathrm e}^{16}}{x +26}}-\frac{\left({\mathrm e}^{16}+26\right) {\mathrm e}^{-32} {\mathrm e}^{\frac{{\mathrm e}^{16}}{26}} \expIntegralEi \left(1, \frac{{\mathrm e}^{16}}{26}-\frac{{\mathrm e}^{16}}{x +26}\right)}{17576}\right)-676 \,{\mathrm e}^{16} \left(\frac{{\mathrm e}^{\frac{{\mathrm e}^{16}}{x +26}} {\mathrm e}^{-32}}{676}+\frac{{\mathrm e}^{\frac{{\mathrm e}^{16}}{x +26}}}{17576 \,{\mathrm e}^{16}-\frac{456976 \,{\mathrm e}^{16}}{x +26}}-\frac{{\mathrm e}^{-16} \left({\mathrm e}^{16}+52\right) {\mathrm e}^{\frac{{\mathrm e}^{16}}{26}} \expIntegralEi \left(1, \frac{{\mathrm e}^{16}}{26}-\frac{{\mathrm e}^{16}}{x +26}\right)}{456976}\right)\right)$&$229$\\ default&$-{\mathrm e}^{16} \left(-\frac{5}{\left(x +26\right) \left({\mathrm e}^{16}-\frac{26 \,{\mathrm e}^{16}}{x +26}\right)}-{\mathrm e}^{48} \left(\frac{{\mathrm e}^{\frac{{\mathrm e}^{16}}{x +26}} {\mathrm e}^{-32}}{26 \,{\mathrm e}^{16}-\frac{676 \,{\mathrm e}^{16}}{x +26}}-\frac{{\mathrm e}^{-32} {\mathrm e}^{\frac{{\mathrm e}^{16}}{26}} \expIntegralEi \left(1, \frac{{\mathrm e}^{16}}{26}-\frac{{\mathrm e}^{16}}{x +26}\right)}{676}\right)+52 \,{\mathrm e}^{32} \left(\frac{{\mathrm e}^{\frac{{\mathrm e}^{16}}{x +26}} {\mathrm e}^{-16}}{676 \,{\mathrm e}^{16}-\frac{17576 \,{\mathrm e}^{16}}{x +26}}-\frac{\left({\mathrm e}^{16}+26\right) {\mathrm e}^{-32} {\mathrm e}^{\frac{{\mathrm e}^{16}}{26}} \expIntegralEi \left(1, \frac{{\mathrm e}^{16}}{26}-\frac{{\mathrm e}^{16}}{x +26}\right)}{17576}\right)-676 \,{\mathrm e}^{16} \left(\frac{{\mathrm e}^{\frac{{\mathrm e}^{16}}{x +26}} {\mathrm e}^{-32}}{676}+\frac{{\mathrm e}^{\frac{{\mathrm e}^{16}}{x +26}}}{17576 \,{\mathrm e}^{16}-\frac{456976 \,{\mathrm e}^{16}}{x +26}}-\frac{{\mathrm e}^{-16} \left({\mathrm e}^{16}+52\right) {\mathrm e}^{\frac{{\mathrm e}^{16}}{26}} \expIntegralEi \left(1, \frac{{\mathrm e}^{16}}{26}-\frac{{\mathrm e}^{16}}{x +26}\right)}{456976}\right)\right)$&$229$\\ \hline \end{longtable}"," ",0,"exp(exp(16)/(x+26))+5/x","A"
8227,1,33,27,0.112000," ","int(1/81*(((16*x^7+324*x^3)*exp(1/81*x^4)^2+(48*x^6+972*x^2)*exp(1/81*x^4)+162*x)*exp(x^2*exp(1/81*x^4)^2+6*x*exp(1/81*x^4)+9)-324*x^2+81)/exp(-2*x*exp(x^2*exp(1/81*x^4)^2+6*x*exp(1/81*x^4)+9)+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-2 x \left(-{\mathrm e}^{x^{2} {\mathrm e}^{\frac{2 x^{4}}{81}}+6 x \,{\mathrm e}^{\frac{x^{4}}{81}}+9}+x \right)}$&$33$\\ \hline \end{longtable}"," ",0,"x*exp(-2*x*(-exp(x^2*exp(2/81*x^4)+6*x*exp(1/81*x^4)+9)+x))","A"
8228,1,48,28,0.122000," ","int((((-x^4+4*x^3-6*x^2)*exp(5-x)-5*x^3+30*x^2)*ln(x)+(-4*x^4+17*x^3-27*x^2)*exp(5-x)-28*x^3+156*x^2-45*x+27)/(3*x^3-18*x^2+27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{23 x^{2}}{3}+\frac{4 x^{2} {\mathrm e}^{5-x}}{3}-\frac{5 x^{2} \ln \left(x \right)}{3}+9+\frac{\ln \left(x \right) {\mathrm e}^{5-x} x^{2}}{3}}{x -3}+\ln \left(x \right)$&$48$\\ default&$\frac{\ln \left(x \right) {\mathrm e}^{5-x} x^{2}+4 x^{2} {\mathrm e}^{5-x}}{3 x -9}-\frac{23 x}{3}+\ln \left(x \right)-\frac{60}{x -3}-\frac{5 x \ln \left(x \right)}{3}-\frac{5 \ln \left(x \right) x}{x -3}$&$60$\\ risch&$\frac{\left(x^{2} {\mathrm e}^{5-x}-5 x^{2}+15 x -45\right) \ln \left(x \right)}{3 x -9}-\frac{-4 x^{2} {\mathrm e}^{5-x}+12 x \ln \left(x \right)+23 x^{2}-36 \ln \left(x \right)-69 x +180}{3 \left(x -3\right)}$&$68$\\ \hline \end{longtable}"," ",0,"(-23/3*x^2+4/3*x^2*exp(5-x)-5/3*x^2*ln(x)+9+1/3*ln(x)*exp(5-x)*x^2)/(x-3)+ln(x)","A"
8229,1,17,16,0.034000," ","int((-5*x^5*ln(ln(5))-2)/(2*x^11*ln(ln(5))^2+4*x^6*ln(x^2)*ln(ln(5))+2*x*ln(x^2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{2 x^{5} \ln \left(\ln \left(5\right)\right)+2 \ln \left(x^{2}\right)}$&$17$\\ \hline \end{longtable}"," ",0,"1/2/(x^5*ln(ln(5))+ln(x^2))","A"
8230,1,24,21,0.141000," ","int((7*ln(1/x)*ln(ln(1/x)/x)+(35*exp(3)-7*exp(2)-7)*ln(1/x)-7)/ln(1/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-7 \,{\mathrm e}^{2} x +35 x \,{\mathrm e}^{3}+7 \ln \left(\frac{\ln \left(\frac{1}{x}\right)}{x}\right) x$&$24$\\ norman&$\left(35 \,{\mathrm e}^{3}-7 \,{\mathrm e}^{2}\right) x +7 \ln \left(\frac{\ln \left(\frac{1}{x}\right)}{x}\right) x$&$25$\\ \hline \end{longtable}"," ",0,"-7*exp(2)*x+35*x*exp(3)+7*ln(ln(1/x)/x)*x","A"
8231,1,36,27,0.527000," ","int(((4*ln(3)+4*exp(4)-4*exp(2)+4)*exp(4*x)-ln(3)-exp(4)+exp(2)-1)*exp((-2*exp(4*x)-ln(3)-exp(4)+exp(2)+2*x-11)/(exp(4*x)+5-x))/(exp(4*x)^2+(-2*x+10)*exp(4*x)+x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-2 \,{\mathrm e}^{4 x}-\ln \left(3\right)-{\mathrm e}^{4}+{\mathrm e}^{2}+2 x -11}{x -{\mathrm e}^{4 x}-5}}$&$36$\\ norman&$\frac{x \,{\mathrm e}^{\frac{-2 \,{\mathrm e}^{4 x}-\ln \left(3\right)-{\mathrm e}^{4}+{\mathrm e}^{2}+2 x -11}{{\mathrm e}^{4 x}+5-x}}-{\mathrm e}^{4 x} {\mathrm e}^{\frac{-2 \,{\mathrm e}^{4 x}-\ln \left(3\right)-{\mathrm e}^{4}+{\mathrm e}^{2}+2 x -11}{{\mathrm e}^{4 x}+5-x}}-5 \,{\mathrm e}^{\frac{-2 \,{\mathrm e}^{4 x}-\ln \left(3\right)-{\mathrm e}^{4}+{\mathrm e}^{2}+2 x -11}{{\mathrm e}^{4 x}+5-x}}}{x -{\mathrm e}^{4 x}-5}$&$126$\\ \hline \end{longtable}"," ",0,"exp(-(-2*exp(4*x)-ln(3)-exp(4)+exp(2)+2*x-11)/(x-exp(4*x)-5))","A"
8232,1,33,27,0.247000," ","int(((4*x^3-8*x^2+16*x+36)*exp(25)*ln((x^3-2*x^2+4*x+9)/x^2)^2+((8*x^4-16*x^3+32*x^2+72*x)*exp(25)+2*x^4-4*x^3+8*x^2+18*x)*ln((x^3-2*x^2+4*x+9)/x^2)+(4*x^5-8*x^4+16*x^3+36*x^2)*exp(25)+x^5-3*x^4+4*x^3+13*x^2+18*x)/((x^3-2*x^2+4*x+9)*exp(25)*ln((x^3-2*x^2+4*x+9)/x^2)^2+(2*x^4-4*x^3+8*x^2+18*x)*exp(25)*ln((x^3-2*x^2+4*x+9)/x^2)+(x^5-2*x^4+4*x^3+9*x^2)*exp(25)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x +\frac{x^{2} {\mathrm e}^{-25}}{\ln \left(\frac{x^{3}-2 x^{2}+4 x +9}{x^{2}}\right)+x}$&$33$\\ norman&$\frac{\left(4 \,{\mathrm e}^{25}+1\right) {\mathrm e}^{-25} x^{2}+4 \ln \left(\frac{x^{3}-2 x^{2}+4 x +9}{x^{2}}\right) x}{\ln \left(\frac{x^{3}-2 x^{2}+4 x +9}{x^{2}}\right)+x}$&$60$\\ \hline \end{longtable}"," ",0,"4*x+x^2*exp(-25)/(ln((x^3-2*x^2+4*x+9)/x^2)+x)","A"
8233,1,417,27,4.113000," ","int((((-3*x^2+12*x)*exp(x)-3*x+12)*ln((3*x^2-24*x+48)*exp(ln(x)^2))+(-6*x+24)*ln(x)^2+((-6*x+24)*exp(x)-6*x)*ln(x)-6*exp(x)*x+3*x^2-12*x)/(((x^2-4*x)*ln(x)^2+(2*x^2-8*x)*exp(x)*ln(x)+(x^2-4*x)*exp(x)^2)*ln((3*x^2-24*x+48)*exp(ln(x)^2))^2+((-2*x^3+8*x^2)*ln(x)+(-2*x^3+8*x^2)*exp(x))*ln((3*x^2-24*x+48)*exp(ln(x)^2))+x^4-4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 i}{\pi  \mathrm{csgn}\left(i {\mathrm e}^{\ln \left(x \right)^{2}} \left(x -4\right)^{2}\right)^{3} \ln \left(x \right)+\pi  \mathrm{csgn}\left(i \left(x -4\right)\right)^{2} \mathrm{csgn}\left(i \left(x -4\right)^{2}\right) {\mathrm e}^{x}+\pi  \mathrm{csgn}\left(i \left(x -4\right)\right)^{2} \mathrm{csgn}\left(i \left(x -4\right)^{2}\right) \ln \left(x \right)-2 \pi  \,\mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(i \left(x -4\right)^{2}\right)^{2} {\mathrm e}^{x}-2 \pi  \,\mathrm{csgn}\left(i \left(x -4\right)\right) \mathrm{csgn}\left(i \left(x -4\right)^{2}\right)^{2} \ln \left(x \right)-\pi  \mathrm{csgn}\left(i {\mathrm e}^{\ln \left(x \right)^{2}} \left(x -4\right)^{2}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{\ln \left(x \right)^{2}}\right) {\mathrm e}^{x}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{\ln \left(x \right)^{2}} \left(x -4\right)^{2}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{\ln \left(x \right)^{2}}\right) \ln \left(x \right)-\pi  \mathrm{csgn}\left(i {\mathrm e}^{\ln \left(x \right)^{2}} \left(x -4\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(x -4\right)^{2}\right) {\mathrm e}^{x}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{\ln \left(x \right)^{2}} \left(x -4\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(x -4\right)^{2}\right) \ln \left(x \right)+\pi  \mathrm{csgn}\left(i {\mathrm e}^{\ln \left(x \right)^{2}} \left(x -4\right)^{2}\right)^{3} {\mathrm e}^{x}+2 i {\mathrm e}^{x} \ln \left({\mathrm e}^{\ln \left(x \right)^{2}}\right)+2 i \ln \left(x \right) \ln \left({\mathrm e}^{\ln \left(x \right)^{2}}\right)+2 i \ln \left(3\right) \ln \left(x \right)+4 i \ln \left(x \right) \ln \left(x -4\right)+4 i {\mathrm e}^{x} \ln \left(x -4\right)+2 i \ln \left(3\right) {\mathrm e}^{x}-2 i x +\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\ln \left(x \right)^{2}} \left(x -4\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(i \left(x -4\right)^{2}\right) {\mathrm e}^{x}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\ln \left(x \right)^{2}} \left(x -4\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(i \left(x -4\right)^{2}\right) \ln \left(x \right)+\pi  \mathrm{csgn}\left(i \left(x -4\right)^{2}\right)^{3} \ln \left(x \right)+\pi  \mathrm{csgn}\left(i \left(x -4\right)^{2}\right)^{3} {\mathrm e}^{x}}$&$417$\\ \hline \end{longtable}"," ",0,"6*I/(Pi*csgn(I*exp(ln(x)^2)*(x-4)^2)^3*ln(x)+Pi*csgn(I*(x-4))^2*csgn(I*(x-4)^2)*exp(x)+Pi*csgn(I*(x-4))^2*csgn(I*(x-4)^2)*ln(x)-2*Pi*csgn(I*(x-4))*csgn(I*(x-4)^2)^2*exp(x)-2*Pi*csgn(I*(x-4))*csgn(I*(x-4)^2)^2*ln(x)-Pi*csgn(I*exp(ln(x)^2)*(x-4)^2)^2*csgn(I*exp(ln(x)^2))*exp(x)-Pi*csgn(I*exp(ln(x)^2)*(x-4)^2)^2*csgn(I*exp(ln(x)^2))*ln(x)-Pi*csgn(I*exp(ln(x)^2)*(x-4)^2)^2*csgn(I*(x-4)^2)*exp(x)-Pi*csgn(I*exp(ln(x)^2)*(x-4)^2)^2*csgn(I*(x-4)^2)*ln(x)+Pi*csgn(I*exp(ln(x)^2)*(x-4)^2)^3*exp(x)+2*I*exp(x)*ln(exp(ln(x)^2))+2*I*ln(x)*ln(exp(ln(x)^2))+2*I*ln(3)*ln(x)+4*I*ln(x)*ln(x-4)+4*I*exp(x)*ln(x-4)+2*I*ln(3)*exp(x)-2*I*x+Pi*csgn(I*exp(ln(x)^2)*(x-4)^2)*csgn(I*exp(ln(x)^2))*csgn(I*(x-4)^2)*exp(x)+Pi*csgn(I*exp(ln(x)^2)*(x-4)^2)*csgn(I*exp(ln(x)^2))*csgn(I*(x-4)^2)*ln(x)+Pi*csgn(I*(x-4)^2)^3*ln(x)+Pi*csgn(I*(x-4)^2)^3*exp(x))","C"
8234,1,18,18,0.314000," ","int((((-4*x-8)*exp(x)-5*x-10)*ln(2*x+4)-5)/(5*x+10)/ln(2*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\ln \left(\ln \left(2 x +4\right)\right)-\frac{4 \,{\mathrm e}^{x}}{5}$&$18$\\ norman&$-x -\ln \left(\ln \left(2 x +4\right)\right)-\frac{4 \,{\mathrm e}^{x}}{5}$&$18$\\ risch&$-x -\ln \left(\ln \left(2 x +4\right)\right)-\frac{4 \,{\mathrm e}^{x}}{5}$&$18$\\ \hline \end{longtable}"," ",0,"-x-ln(ln(2*x+4))-4/5*exp(x)","A"
8235,1,35,29,0.345000," ","int(((exp(3)+6*x^2+1)*ln(2)+3*exp(3)+8*x^2+3)/(x^2*ln(2)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{6 x \ln \left(2\right)+8 x -\frac{{\mathrm e}^{3} \ln \left(2\right)+\ln \left(2\right)+3 \,{\mathrm e}^{3}+3}{x}}{1+\ln \left(2\right)}$&$35$\\ gosper&$-\frac{-6 x^{2} \ln \left(2\right)+{\mathrm e}^{3} \ln \left(2\right)-8 x^{2}+\ln \left(2\right)+3 \,{\mathrm e}^{3}+3}{x \left(1+\ln \left(2\right)\right)}$&$37$\\ norman&$\frac{-\frac{{\mathrm e}^{3} \ln \left(2\right)+\ln \left(2\right)+3 \,{\mathrm e}^{3}+3}{1+\ln \left(2\right)}+\frac{2 \left(3 \ln \left(2\right)+4\right) x^{2}}{1+\ln \left(2\right)}}{x}$&$44$\\ risch&$\frac{6 x \ln \left(2\right)}{1+\ln \left(2\right)}+\frac{8 x}{1+\ln \left(2\right)}-\frac{\ln \left(2\right)^{2} {\mathrm e}^{3}}{\left(1+\ln \left(2\right)\right)^{2} x}-\frac{\ln \left(2\right)^{2}}{\left(1+\ln \left(2\right)\right)^{2} x}-\frac{4 \ln \left(2\right) {\mathrm e}^{3}}{\left(1+\ln \left(2\right)\right)^{2} x}-\frac{4 \ln \left(2\right)}{\left(1+\ln \left(2\right)\right)^{2} x}-\frac{3 \,{\mathrm e}^{3}}{\left(1+\ln \left(2\right)\right)^{2} x}-\frac{3}{\left(1+\ln \left(2\right)\right)^{2} x}$&$106$\\ \hline \end{longtable}"," ",0,"1/(1+ln(2))*(6*x*ln(2)+8*x-(exp(3)*ln(2)+ln(2)+3*exp(3)+3)/x)","A"
8236,1,22,21,0.083000," ","int((-x^3*exp(x)*ln(4/x)^2*exp(exp(x))-30*exp(5)*ln(4/x)+15*exp(5))/x^3/ln(4/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{15 \,{\mathrm e}^{5}}{x^{2} \ln \left(\frac{4}{x}\right)}-{\mathrm e}^{{\mathrm e}^{x}}$&$22$\\ risch&$\frac{30 i {\mathrm e}^{5}}{x^{2} \left(4 i \ln \left(2\right)-2 i \ln \left(x \right)\right)}-{\mathrm e}^{{\mathrm e}^{x}}$&$28$\\ \hline \end{longtable}"," ",0,"15*exp(5)/x^2/ln(4/x)-exp(exp(x))","A"
8237,1,52,21,0.081000," ","int(((128*x^4-32*x^3+56*x^2-686*x)*ln((256*x^6+768*x^5+2144*x^4+2352*x^3+2401*x^2)/(256*x^4-1792*x^3+4704*x^2-5488*x+2401))+128*x^4-672*x^3-1064*x^2-686*x)/(64*x^3-16*x^2+28*x-343),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\frac{x^{2} \left(256 x^{4}+768 x^{3}+2144 x^{2}+2352 x +2401\right)}{256 x^{4}-1792 x^{3}+4704 x^{2}-5488 x +2401}\right) x^{2}$&$52$\\ norman&$x^{2} \ln \left(\frac{256 x^{6}+768 x^{5}+2144 x^{4}+2352 x^{3}+2401 x^{2}}{256 x^{4}-1792 x^{3}+4704 x^{2}-5488 x +2401}\right)$&$55$\\ risch&$x^{2} \ln \left(\frac{256 x^{6}+768 x^{5}+2144 x^{4}+2352 x^{3}+2401 x^{2}}{256 x^{4}-1792 x^{3}+4704 x^{2}-5488 x +2401}\right)$&$55$\\ \hline \end{longtable}"," ",0,"ln(x^2*(256*x^4+768*x^3+2144*x^2+2352*x+2401)/(256*x^4-1792*x^3+4704*x^2-5488*x+2401))*x^2","B"
8238,1,25,26,0.082000," ","int((4*x^3*exp(2)*ln(x)+(-4*x^4-18*x^3+48*x^2)*exp(2))/(x^2*ln(x)^2+(-4*x^3-8*x^2+16*x)*ln(x)+4*x^4+16*x^3-16*x^2-64*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{2 x^{3} {\mathrm e}^{2}}{2 x^{2}-x \ln \left(x \right)+4 x -8}$&$25$\\ risch&$-\frac{2 x^{3} {\mathrm e}^{2}}{2 x^{2}-x \ln \left(x \right)+4 x -8}$&$25$\\ \hline \end{longtable}"," ",0,"-2*x^3*exp(2)/(2*x^2-x*ln(x)+4*x-8)","A"
8239,1,41,23,0.321000," ","int((((2*x^2-x)*ln(2)+26*x-13)*ln(5/13*x*ln(2)+5)^2+(2*x*ln(2)+26)*exp(2*x)*ln(5/13*x*ln(2)+5)-ln(2)*exp(2*x))*exp(((x^2-x)*ln(5/13*x*ln(2)+5)+exp(2*x))/ln(5/13*x*ln(2)+5))/(x*ln(2)+13)/ln(5/13*x*ln(2)+5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\ln \left(\frac{5 x \ln \left(2\right)}{13}+5\right) x^{2}-\ln \left(\frac{5 x \ln \left(2\right)}{13}+5\right) x +{\mathrm e}^{2 x}}{\ln \left(\frac{5 x \ln \left(2\right)}{13}+5\right)}}$&$41$\\ \hline \end{longtable}"," ",0,"exp((ln(5/13*x*ln(2)+5)*x^2-ln(5/13*x*ln(2)+5)*x+exp(2*x))/ln(5/13*x*ln(2)+5))","A"
8240,1,30,23,0.105000," ","int((-5*x*exp((3*x-5)/x)-3*x^2)*exp(exp((3*x-5)/x))+(x^2+2*x)*exp(x)-4*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -x^{3} {\mathrm e}^{{\mathrm e}^{\frac{3 x -5}{x}}}+{\mathrm e}^{x} x^{2}-2 x^{2}$&$30$\\ norman&$x -x^{3} {\mathrm e}^{{\mathrm e}^{\frac{3 x -5}{x}}}+{\mathrm e}^{x} x^{2}-2 x^{2}$&$30$\\ risch&$x -x^{3} {\mathrm e}^{{\mathrm e}^{\frac{3 x -5}{x}}}+{\mathrm e}^{x} x^{2}-2 x^{2}$&$30$\\ \hline \end{longtable}"," ",0,"x-x^3*exp(exp((3*x-5)/x))+exp(x)*x^2-2*x^2","A"
8241,1,6,7,0.017000," ","int(1/x/ln(2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\ln \left(2 x \right)\right)$&$6$\\ default&$\ln \left(\ln \left(2 x \right)\right)$&$6$\\ norman&$\ln \left(\ln \left(2 x \right)\right)$&$6$\\ risch&$\ln \left(\ln \left(2 x \right)\right)$&$6$\\ \hline \end{longtable}"," ",0,"ln(ln(2*x))","A"
8242,1,18,19,0.053000," ","int((6*x^2*ln(x)+2*(-x-5)*ln(2)-30*x)/(x^2*ln(x)-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$6 x -2 \ln \left(2\right) \ln \left(\ln \left(x \right)-\frac{5}{x}\right)$&$18$\\ default&$6 x +2 \ln \left(2\right) \ln \left(x \right)-2 \ln \left(2\right) \ln \left(x \ln \left(x \right)-5\right)$&$22$\\ norman&$6 x +2 \ln \left(2\right) \ln \left(x \right)-2 \ln \left(2\right) \ln \left(x \ln \left(x \right)-5\right)$&$22$\\ \hline \end{longtable}"," ",0,"6*x-2*ln(2)*ln(ln(x)-5/x)","A"
8243,1,27,25,0.408000," ","int(((2-x)*exp(2*x)+x^3-x^2+11*x+1)/(x^2-2*x+1)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-10-x -x^{2}-{\mathrm e}^{2 x}\right) {\mathrm e}^{-x}}{x -1}$&$27$\\ risch&$-\frac{{\mathrm e}^{x}}{x -1}-\frac{\left(x^{2}+x +10\right) {\mathrm e}^{-x}}{x -1}$&$28$\\ default&$-\frac{12 \,{\mathrm e}^{-x}}{x -1}-\left(3+x \right) {\mathrm e}^{-x}-\frac{{\mathrm e}^{x}}{x -1}+{\mathrm e}^{-x}$&$35$\\ \hline \end{longtable}"," ",0,"(-10-x-x^2-exp(x)^2)/(x-1)/exp(x)","A"
8244,1,11,20,0.321000," ","int((-x-9)/(x+7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -2 \ln \left(x +7\right)$&$11$\\ norman&$-x -2 \ln \left(x +7\right)$&$11$\\ risch&$-x -2 \ln \left(x +7\right)$&$11$\\ meijerg&$-2 \ln \left(1+\frac{x}{7}\right)-x$&$13$\\ \hline \end{longtable}"," ",0,"-x-2*ln(x+7)","A"
8245,1,7795,22,0.705000," ","int(((-2*ln(x)+10*x)*ln((4*ln(x)^2-40*x*ln(x)+100*x^2)/x^4)^2+(-8*ln(x)+20*x+4)*ln((4*ln(x)^2-40*x*ln(x)+100*x^2)/x^4))/(x^3*ln(x)-5*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$7795$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
8246,1,51,31,0.100000," ","int((((-2*x^5+28*x^4-144*x^3+324*x^2-270*x)*ln(x)^2+(-4*x^6+56*x^5-288*x^4+648*x^3-540*x^2)*ln(x)+(2*x^5-28*x^4+144*x^3-324*x^2+270*x)*exp(x)+(2*x^5-28*x^4+144*x^3-324*x^2+270*x)*ln(5)-2*x^7+26*x^6-116*x^5+180*x^4+54*x^3-270*x^2)*ln(-ln(x)^2-2*x*ln(x)+exp(x)+ln(5)-x^2-x)^2+((4*x^5-44*x^4+168*x^3-216*x^2-108*x+324)*ln(x)+(-2*x^5+24*x^4-108*x^3+216*x^2-162*x)*exp(x)+4*x^6-42*x^5+144*x^4-108*x^3-324*x^2+486*x)*ln(-ln(x)^2-2*x*ln(x)+exp(x)+ln(5)-x^2-x))/(x*exp(x)^2*ln(x)^2+2*x^2*exp(x)^2*ln(x)-x*exp(x)^3+(-x*ln(5)+x^3+x^2)*exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{4}-12 x^{3}+54 x^{2}-108 x +81\right) {\mathrm e}^{-2 x} \ln \left(-\ln \left(x \right)^{2}-2 x \ln \left(x \right)+{\mathrm e}^{x}+\ln \left(5\right)-x^{2}-x \right)^{2}$&$51$\\ \hline \end{longtable}"," ",0,"(x^4-12*x^3+54*x^2-108*x+81)*exp(-2*x)*ln(-ln(x)^2-2*x*ln(x)+exp(x)+ln(5)-x^2-x)^2","A"
8247,1,16,17,0.031000," ","int(((-ln(x)-9*x-22)*ln(1/2*ln(x)+9/2*x+11)+(9*x+1)*ln(x))/(x*ln(x)^3+(9*x^2+22*x)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\frac{\ln \left(x \right)}{2}+\frac{9 x}{2}+11\right)}{\ln \left(x \right)}$&$16$\\ \hline \end{longtable}"," ",0,"ln(1/2*ln(x)+9/2*x+11)/ln(x)","A"
8248,1,69,18,0.370000," ","int(((-x*ln(exp(x)*x)+(-x^2-3*x-2)*ln(2+x))*exp(ln(2+x)*ln(exp(x)*x))+2*x^2+4*x)/(x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\left(2+x \right)^{-\frac{i \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right) \pi}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x \right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)}{2}+\ln \left(x \right)+\ln \left({\mathrm e}^{x}\right)}$&$69$\\ \hline \end{longtable}"," ",0,"2*x-(2+x)^(-1/2*I*csgn(I*x*exp(x))*Pi+1/2*I*Pi*csgn(I*x)+1/2*I*Pi*csgn(I*exp(x))-1/2*I*Pi*csgn(I*x*exp(x))*csgn(I*x)*csgn(I*exp(x))+ln(x)+ln(exp(x)))","C"
8249,1,37,25,0.118000," ","int(((-exp(4)*exp(x)+1)*ln((exp(4)*exp(x)-1)/exp(4))^5+4*exp(2)^3*exp(4)*exp(x)*ln((exp(4)*exp(x)-1)/exp(4))^2-4*exp(2)^4*exp(4)*exp(x))/(exp(4)*exp(x)-1)/ln((exp(4)*exp(x)-1)/exp(4))^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{{\mathrm e}^{6} \left(-2 \ln \left(\left({\mathrm e}^{4+x}-1\right) {\mathrm e}^{-4}\right)^{2}+{\mathrm e}^{2}\right)}{\ln \left(\left({\mathrm e}^{4+x}-1\right) {\mathrm e}^{-4}\right)^{4}}$&$37$\\ derivativedivides&$-\ln \left(\left({\mathrm e}^{x}-{\mathrm e}^{-4}\right) {\mathrm e}^{4}+1\right)-\frac{2 \,{\mathrm e}^{6}}{\ln \left({\mathrm e}^{x}-{\mathrm e}^{-4}\right)^{2}}+\frac{{\mathrm e}^{8}}{\ln \left({\mathrm e}^{x}-{\mathrm e}^{-4}\right)^{4}}$&$54$\\ default&$-\ln \left(\left({\mathrm e}^{x}-{\mathrm e}^{-4}\right) {\mathrm e}^{4}+1\right)-\frac{2 \,{\mathrm e}^{6}}{\ln \left({\mathrm e}^{x}-{\mathrm e}^{-4}\right)^{2}}+\frac{{\mathrm e}^{8}}{\ln \left({\mathrm e}^{x}-{\mathrm e}^{-4}\right)^{4}}$&$54$\\ \hline \end{longtable}"," ",0,"-x+exp(6)*(-2*ln((exp(4+x)-1)*exp(-4))^2+exp(2))/ln((exp(4+x)-1)*exp(-4))^4","A"
8250,1,16,22,0.029000," ","int((-48*ln(2)-6*x^2)*ln(3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$6 \ln \left(3\right) \left(-x +\frac{8 \ln \left(2\right)}{x}\right)$&$16$\\ risch&$-6 x \ln \left(3\right)+\frac{48 \ln \left(3\right) \ln \left(2\right)}{x}$&$16$\\ gosper&$\frac{6 \ln \left(3\right) \left(-x^{2}+8 \ln \left(2\right)\right)}{x}$&$18$\\ norman&$\frac{-6 x^{2} \ln \left(3\right)+48 \ln \left(2\right) \ln \left(3\right)}{x}$&$19$\\ \hline \end{longtable}"," ",0,"6*ln(3)*(-x+8*ln(2)/x)","A"
8251,1,24,17,0.033000," ","int((-102*x^3-153*x^2)*exp(x)^2+(102*x^4+408*x^3)*exp(x)-255*x^4+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -51 \,{\mathrm e}^{2 x} x^{3}+102 \,{\mathrm e}^{x} x^{4}-51 x^{5}$&$24$\\ norman&$x -51 \,{\mathrm e}^{2 x} x^{3}+102 \,{\mathrm e}^{x} x^{4}-51 x^{5}$&$24$\\ risch&$x -51 \,{\mathrm e}^{2 x} x^{3}+102 \,{\mathrm e}^{x} x^{4}-51 x^{5}$&$24$\\ \hline \end{longtable}"," ",0,"x-51*exp(x)^2*x^3+102*exp(x)*x^4-51*x^5","A"
8252,1,22,24,0.078000," ","int(((2*x*ln(x)*ln(ln(x))+x)*exp(x^2*ln(ln(x)))+(-4*x^3-2*x)*exp(x^2)^2*ln(x)*exp(-x^2*exp(x^2)^2+8))/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{x^{2}}+{\mathrm e}^{-{\mathrm e}^{2 x^{2}} x^{2}+8}$&$22$\\ default&${\mathrm e}^{x^{2} \ln \left(\ln \left(x \right)\right)}+{\mathrm e}^{-{\mathrm e}^{2 x^{2}} x^{2}+8}$&$24$\\ \hline \end{longtable}"," ",0,"ln(x)^(x^2)+exp(-exp(2*x^2)*x^2+8)","A"
8253,1,37,22,0.062000," ","int(2*(-4*x^2-40*x+16)/(x^3+4*x^2-6*x-5)/ln((x^4-2*x^3-x^2+2*x+1)/(2*x^2+20*x+50))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2}{\ln \left(\frac{x^{4}-2 x^{3}-x^{2}+2 x +1}{2 x^{2}+20 x +50}\right)^{2}}$&$37$\\ risch&$\frac{2}{\ln \left(\frac{x^{4}-2 x^{3}-x^{2}+2 x +1}{2 x^{2}+20 x +50}\right)^{2}}$&$37$\\ \hline \end{longtable}"," ",0,"2/ln((x^4-2*x^3-x^2+2*x+1)/(2*x^2+20*x+50))^2","A"
8254,1,22,28,0.437000," ","int((4*x*ln(x)*ln(ln(x))+(-4*x*ln(2)-2*x^3+12*x^2-16*x)*ln(x)-2*x^2+8*x-8)/((2*x^3-8*x^2+8*x)*ln(x)*ln(ln(x))+(2*(-x^3+4*x^2-4*x)*ln(2)+2*x^4-12*x^3+24*x^2-16*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2}{x -2}-\ln \left(-\ln \left(2\right)+x +\ln \left(\ln \left(x \right)\right)-2\right)$&$22$\\ \hline \end{longtable}"," ",0,"-2/(x-2)-ln(-ln(2)+x+ln(ln(x))-2)","A"
8255,1,13,18,0.400000," ","int((-x^2-2*x+5)/(x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\ln \left(x \right)+2 \ln \left(5+x \right)$&$13$\\ norman&$-x +\ln \left(x \right)+2 \ln \left(5+x \right)$&$13$\\ risch&$-x +\ln \left(x \right)+2 \ln \left(5+x \right)$&$13$\\ meijerg&$-\ln \left(5\right)+\ln \left(x \right)+2 \ln \left(1+\frac{x}{5}\right)-x$&$19$\\ \hline \end{longtable}"," ",0,"-x+ln(x)+2*ln(5+x)","A"
8256,1,22,21,0.060000," ","int((16*exp(4*x^2)^5+(240*x^2+6000)*exp(4*x^2)^4+(1440*x^4+72000*x^2+900000)*exp(4*x^2)^3+(4320*x^6+324000*x^4+8100000*x^2+67500000)*exp(4*x^2)^2+(6480*x^8+648000*x^6+24300000*x^4+405000000*x^2-41472*x+2531250000)*exp(4*x^2)+3888*x^10+486000*x^8+24300000*x^6+607500000*x^4+7593750000*x^2-31104*x+37968750000)/(exp(4*x^2)^5+(15*x^2+375)*exp(4*x^2)^4+(90*x^4+4500*x^2+56250)*exp(4*x^2)^3+(270*x^6+20250*x^4+506250*x^2+4218750)*exp(4*x^2)^2+(405*x^8+40500*x^6+1518750*x^4+25312500*x^2+158203125)*exp(4*x^2)+243*x^10+30375*x^8+1518750*x^6+37968750*x^4+474609375*x^2+2373046875),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x +\frac{1296}{\left(3 x^{2}+{\mathrm e}^{4 x^{2}}+75\right)^{4}}$&$22$\\ \hline \end{longtable}"," ",0,"16*x+1296/(3*x^2+exp(4*x^2)+75)^4","A"
8257,1,66,23,0.904000," ","int((-1000*x^3*exp(4)^6+(600*x^2*exp(3)+2400*x^2)*exp(4)^4+(-120*x*exp(3)^2-920*x*exp(3)-1760*x)*exp(4)^2+8*exp(3)^3+88*exp(3)^2+320*exp(3)+384)/((125*x^6+375*x^5+375*x^4+125*x^3)*exp(4)^6+((-75*x^5-225*x^4-225*x^3-75*x^2)*exp(3)-225*x^5-750*x^4-825*x^3-300*x^2)*exp(4)^4+((15*x^4+45*x^3+45*x^2+15*x)*exp(3)^2+(90*x^4+300*x^3+330*x^2+120*x)*exp(3)+135*x^4+495*x^3+600*x^2+240*x)*exp(4)^2+(-x^3-3*x^2-3*x-1)*exp(3)^3+(-9*x^3-30*x^2-33*x-12)*exp(3)^2+(-27*x^3-99*x^2-120*x-48)*exp(3)-27*x^3-108*x^2-144*x-64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-40 \,{\mathrm e}^{8} \left(4+{\mathrm e}^{3}\right) x +100 x^{2} {\mathrm e}^{16}+64+4 \,{\mathrm e}^{6}+32 \,{\mathrm e}^{3}}{\left(5 x^{2} {\mathrm e}^{8}+5 x \,{\mathrm e}^{8}-x \,{\mathrm e}^{3}-{\mathrm e}^{3}-3 x -4\right)^{2}}$&$66$\\ risch&$\frac{\frac{64}{25}+4 x^{2} {\mathrm e}^{16}-\frac{8 \,{\mathrm e}^{8} \left(4+{\mathrm e}^{3}\right) x}{5}+\frac{4 \,{\mathrm e}^{6}}{25}+\frac{32 \,{\mathrm e}^{3}}{25}}{x^{4} {\mathrm e}^{16}+2 x^{3} {\mathrm e}^{16}+x^{2} {\mathrm e}^{16}-\frac{2 x^{3} {\mathrm e}^{11}}{5}-\frac{4 x^{2} {\mathrm e}^{11}}{5}-\frac{2 x \,{\mathrm e}^{11}}{5}-\frac{6 x^{3} {\mathrm e}^{8}}{5}-\frac{14 x^{2} {\mathrm e}^{8}}{5}-\frac{8 x \,{\mathrm e}^{8}}{5}+\frac{x^{2} {\mathrm e}^{6}}{25}+\frac{2 x \,{\mathrm e}^{6}}{25}+\frac{{\mathrm e}^{6}}{25}+\frac{6 x^{2} {\mathrm e}^{3}}{25}+\frac{14 x \,{\mathrm e}^{3}}{25}+\frac{8 \,{\mathrm e}^{3}}{25}+\frac{9 x^{2}}{25}+\frac{24 x}{25}+\frac{16}{25}}$&$129$\\ gosper&$\frac{100 x^{2} {\mathrm e}^{16}-40 x \,{\mathrm e}^{3} {\mathrm e}^{8}-160 x \,{\mathrm e}^{8}+4 \,{\mathrm e}^{6}+32 \,{\mathrm e}^{3}+64}{25 x^{4} {\mathrm e}^{16}+50 x^{3} {\mathrm e}^{16}+25 x^{2} {\mathrm e}^{16}-10 x^{3} {\mathrm e}^{3} {\mathrm e}^{8}-20 x^{2} {\mathrm e}^{3} {\mathrm e}^{8}-30 x^{3} {\mathrm e}^{8}-10 x \,{\mathrm e}^{3} {\mathrm e}^{8}-70 x^{2} {\mathrm e}^{8}+x^{2} {\mathrm e}^{6}-40 x \,{\mathrm e}^{8}+2 x \,{\mathrm e}^{6}+6 x^{2} {\mathrm e}^{3}+{\mathrm e}^{6}+14 x \,{\mathrm e}^{3}+9 x^{2}+8 \,{\mathrm e}^{3}+24 x +16}$&$168$\\ default&$-\frac{8 \left(\munderset{\textit{\_R} =\RootOf \left(125 \textit{\_Z}^{6} {\mathrm e}^{24}-\left(225 \,{\mathrm e}^{16}-375 \,{\mathrm e}^{24}+75 \,{\mathrm e}^{19}\right) \textit{\_Z}^{5}-\left(750 \,{\mathrm e}^{16}-375 \,{\mathrm e}^{24}-15 \,{\mathrm e}^{14}-90 \,{\mathrm e}^{11}+225 \,{\mathrm e}^{19}-135 \,{\mathrm e}^{8}\right) \textit{\_Z}^{4}-\left(9 \,{\mathrm e}^{6}+{\mathrm e}^{9}+825 \,{\mathrm e}^{16}-125 \,{\mathrm e}^{24}-45 \,{\mathrm e}^{14}-300 \,{\mathrm e}^{11}+225 \,{\mathrm e}^{19}+27 \,{\mathrm e}^{3}-495 \,{\mathrm e}^{8}+27\right) \textit{\_Z}^{3}-\left(30 \,{\mathrm e}^{6}+3 \,{\mathrm e}^{9}+300 \,{\mathrm e}^{16}-45 \,{\mathrm e}^{14}-330 \,{\mathrm e}^{11}+75 \,{\mathrm e}^{19}+99 \,{\mathrm e}^{3}-600 \,{\mathrm e}^{8}+108\right) \textit{\_Z}^{2}-\left(33 \,{\mathrm e}^{6}+3 \,{\mathrm e}^{9}-15 \,{\mathrm e}^{14}-120 \,{\mathrm e}^{11}+120 \,{\mathrm e}^{3}-240 \,{\mathrm e}^{8}+144\right) \textit{\_Z} -64-{\mathrm e}^{9}-12 \,{\mathrm e}^{6}-48 \,{\mathrm e}^{3}\right)}{\sum}\frac{\left(48-125 \textit{\_R}^{3} {\mathrm e}^{24}+75 \left(4 \,{\mathrm e}^{16}+{\mathrm e}^{19}\right) \textit{\_R}^{2}+5 \left(-3 \,{\mathrm e}^{14}-23 \,{\mathrm e}^{11}-44 \,{\mathrm e}^{8}\right) \textit{\_R} +{\mathrm e}^{9}+11 \,{\mathrm e}^{6}+40 \,{\mathrm e}^{3}\right) \ln \left(x -\textit{\_R} \right)}{48+72 \textit{\_R} -80 \,{\mathrm e}^{8}+{\mathrm e}^{9}+11 \,{\mathrm e}^{6}+40 \,{\mathrm e}^{3}-5 \,{\mathrm e}^{14}+27 \textit{\_R}^{2} {\mathrm e}^{3}-40 \,{\mathrm e}^{11}-400 \textit{\_R} \,{\mathrm e}^{8}-180 \textit{\_R}^{3} {\mathrm e}^{8}-495 \textit{\_R}^{2} {\mathrm e}^{8}+20 \textit{\_R} \,{\mathrm e}^{6}+27 \textit{\_R}^{2}+66 \textit{\_R} \,{\mathrm e}^{3}-500 \textit{\_R}^{3} {\mathrm e}^{24}+9 \textit{\_R}^{2} {\mathrm e}^{6}+825 \textit{\_R}^{2} {\mathrm e}^{16}+2 \textit{\_R} \,{\mathrm e}^{9}+200 \textit{\_R} \,{\mathrm e}^{16}+\textit{\_R}^{2} {\mathrm e}^{9}+1000 \textit{\_R}^{3} {\mathrm e}^{16}-625 \,{\mathrm e}^{24} \textit{\_R}^{4}-250 \,{\mathrm e}^{24} \textit{\_R}^{5}-45 \textit{\_R}^{2} {\mathrm e}^{14}+125 \textit{\_R}^{4} {\mathrm e}^{19}+300 \textit{\_R}^{3} {\mathrm e}^{19}-20 \textit{\_R}^{3} {\mathrm e}^{14}-220 \textit{\_R} \,{\mathrm e}^{11}+225 \textit{\_R}^{2} {\mathrm e}^{19}-30 \textit{\_R} \,{\mathrm e}^{14}-120 \textit{\_R}^{3} {\mathrm e}^{11}+50 \textit{\_R} \,{\mathrm e}^{19}+375 \textit{\_R}^{4} {\mathrm e}^{16}-125 \textit{\_R}^{2} {\mathrm e}^{24}-300 \textit{\_R}^{2} {\mathrm e}^{11}}\right)}{3}$&$445$\\ \hline \end{longtable}"," ",0,"(-40*exp(4)^2*(4+exp(3))*x+100*x^2*exp(4)^4+64+4*exp(3)^2+32*exp(3))/(5*x^2*exp(4)^2+5*x*exp(4)^2-x*exp(3)-exp(3)-3*x-4)^2","B"
8258,1,23,25,0.370000," ","int((6*x-3)*exp(1)^4*exp(5+x)^2/(5*x^2*ln(3)+2*x^2*exp(1)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{14+2 x}}{\left(2 \,{\mathrm e}^{4}+5 \ln \left(3\right)\right) x}$&$23$\\ derivativedivides&$\frac{3 \,{\mathrm e}^{2 x +10} {\mathrm e}^{4}}{x \left(2 \,{\mathrm e}^{4}+5 \ln \left(3\right)\right)}$&$27$\\ default&$\frac{3 \,{\mathrm e}^{2 x +10} {\mathrm e}^{4}}{x \left(2 \,{\mathrm e}^{4}+5 \ln \left(3\right)\right)}$&$27$\\ gosper&$\frac{3 \,{\mathrm e}^{2 x +10} {\mathrm e}^{4}}{x \left(2 \,{\mathrm e}^{4}+5 \ln \left(3\right)\right)}$&$29$\\ norman&$\frac{3 \,{\mathrm e}^{2 x +10} {\mathrm e}^{4}}{x \left(2 \,{\mathrm e}^{4}+5 \ln \left(3\right)\right)}$&$29$\\ meijerg&$\frac{6 \,{\mathrm e}^{-2 x \,{\mathrm e}^{10}+14+2 x} \left(\ln \left(x \right)+\ln \left(2\right)+10+i \pi -\ln \left(-2 x \,{\mathrm e}^{10}\right)-\expIntegralEi \left(1, -2 x \,{\mathrm e}^{10}\right)\right)}{2 \,{\mathrm e}^{4}+5 \ln \left(3\right)}+\frac{6 \,{\mathrm e}^{24-2 x \,{\mathrm e}^{10}+2 x} \left(\frac{{\mathrm e}^{-10}}{2 x}-9-\ln \left(x \right)-\ln \left(2\right)-i \pi -\frac{{\mathrm e}^{-10} \left(4 x \,{\mathrm e}^{10}+2\right)}{4 x}+\frac{{\mathrm e}^{-10+2 x \,{\mathrm e}^{10}}}{2 x}+\ln \left(-2 x \,{\mathrm e}^{10}\right)+\expIntegralEi \left(1, -2 x \,{\mathrm e}^{10}\right)\right)}{2 \,{\mathrm e}^{4}+5 \ln \left(3\right)}$&$138$\\ \hline \end{longtable}"," ",0,"3/(2*exp(4)+5*ln(3))/x*exp(14+2*x)","A"
8259,1,24,29,0.023000," ","int((-exp(x)*x^2-81*x^4+954*x^3-3258*x^2+10800)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$477 x^{2}-3258 x -\frac{10800}{x}-27 x^{3}-{\mathrm e}^{x}$&$24$\\ risch&$477 x^{2}-3258 x -\frac{10800}{x}-27 x^{3}-{\mathrm e}^{x}$&$24$\\ norman&$\frac{-10800-3258 x^{2}+477 x^{3}-27 x^{4}-{\mathrm e}^{x} x}{x}$&$27$\\ \hline \end{longtable}"," ",0,"477*x^2-3258*x-10800/x-27*x^3-exp(x)","A"
8260,1,11,10,0.121000," ","int((x^2-15*x+60)*exp(15/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left(x -4\right) {\mathrm e}^{\frac{15}{x}}$&$11$\\ risch&$\left(x -4\right) {\mathrm e}^{\frac{15}{x}}$&$11$\\ derivativedivides&${\mathrm e}^{\frac{15}{x}} x -4 \,{\mathrm e}^{\frac{15}{x}}$&$18$\\ default&${\mathrm e}^{\frac{15}{x}} x -4 \,{\mathrm e}^{\frac{15}{x}}$&$18$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{15}{x}}-4 \,{\mathrm e}^{\frac{15}{x}} x}{x}$&$25$\\ meijerg&$x +19-\frac{x \left(2+\frac{30}{x}\right)}{2}+{\mathrm e}^{\frac{15}{x}} x -4 \,{\mathrm e}^{\frac{15}{x}}$&$30$\\ \hline \end{longtable}"," ",0,"(x-4)*exp(15/x)","A"
8261,1,33,24,0.046000," ","int(((2*x*exp(2*x)+2*x*ln(3)-10*x)*ln(x)*ln(ln(x))+(2*x^2*ln(3)-10*x^2)*ln(x)+exp(2*x)+(5+2*x)*ln(3)-10*x-25)/(x*ln(3)-5*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(2 x \ln \left(3\right)-10 x +{\mathrm e}^{2 x}\right) \ln \left(\ln \left(x \right)\right)}{\ln \left(3\right)-5}+x^{2}+5 \ln \left(\ln \left(x \right)\right)$&$33$\\ \hline \end{longtable}"," ",0,"(2*x*ln(3)-10*x+exp(2*x))/(ln(3)-5)*ln(ln(x))+x^2+5*ln(ln(x))","A"
8262,1,16,15,0.113000," ","int((4*x-2)*exp(2*x+6)/(5*exp(2*x+6)^2-10*x*exp(2*x+6)+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{5 \left(x -{\mathrm e}^{2 x +6}\right)}$&$16$\\ norman&$\frac{2 \,{\mathrm e}^{2 x +6}}{5 \left(x -{\mathrm e}^{2 x +6}\right)}$&$21$\\ \hline \end{longtable}"," ",0,"2/5*x/(x-exp(2*x+6))","A"
8263,1,579,30,0.987000," ","int((((-x^4-2*x^3+4*x^2)*ln(x^2+2*x-4)^2+((x^2+2*x-4)*ln(5)-10*x^4-20*x^3+40*x^2)*ln(x^2+2*x-4)+(5*x^2+10*x-20)*ln(5)-25*x^4-50*x^3+100*x^2)*ln((-x^2*ln(x^2+2*x-4)+ln(5)-5*x^2)/(x*ln(x^2+2*x-4)+5*x))+(-x^4-2*x^3+4*x^2)*ln(x^2+2*x-4)^2+((-x^2-2*x+4)*ln(5)-10*x^4-20*x^3+40*x^2)*ln(x^2+2*x-4)+(-7*x^2-12*x+20)*ln(5)-25*x^4-50*x^3+100*x^2)*exp(-1/3*x*ln((-x^2*ln(x^2+2*x-4)+ln(5)-5*x^2)/(x*ln(x^2+2*x-4)+5*x))+3)/((3*x^4+6*x^3-12*x^2)*ln(x^2+2*x-4)^2+((-3*x^2-6*x+12)*ln(5)+30*x^4+60*x^3-120*x^2)*ln(x^2+2*x-4)+(-15*x^2-30*x+60)*ln(5)+75*x^4+150*x^3-300*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\frac{x}{3}} \left(\ln \left(x^{2}+2 x -4\right)+5\right)^{\frac{x}{3}} \left(\left(-\ln \left(x^{2}+2 x -4\right)-5\right) x^{2}+\ln \left(5\right)\right)^{-\frac{x}{3}} {\mathrm e}^{3+\frac{i x \pi  \mathrm{csgn}\left(\frac{i \left(\left(-\ln \left(x^{2}+2 x -4\right)-5\right) x^{2}+\ln \left(5\right)\right)}{\ln \left(x^{2}+2 x -4\right)+5}\right)^{3}}{6}-\frac{i x \pi  \mathrm{csgn}\left(\frac{i \left(\left(-\ln \left(x^{2}+2 x -4\right)-5\right) x^{2}+\ln \left(5\right)\right)}{\ln \left(x^{2}+2 x -4\right)+5}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x^{2}+2 x -4\right)+5}\right)}{6}-\frac{i x \pi  \mathrm{csgn}\left(\frac{i \left(\left(-\ln \left(x^{2}+2 x -4\right)-5\right) x^{2}+\ln \left(5\right)\right)}{\ln \left(x^{2}+2 x -4\right)+5}\right)^{2} \mathrm{csgn}\left(i \left(\left(-\ln \left(x^{2}+2 x -4\right)-5\right) x^{2}+\ln \left(5\right)\right)\right)}{6}+\frac{i x \pi  \,\mathrm{csgn}\left(\frac{i \left(\left(-\ln \left(x^{2}+2 x -4\right)-5\right) x^{2}+\ln \left(5\right)\right)}{\ln \left(x^{2}+2 x -4\right)+5}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x^{2}+2 x -4\right)+5}\right) \mathrm{csgn}\left(i \left(\left(-\ln \left(x^{2}+2 x -4\right)-5\right) x^{2}+\ln \left(5\right)\right)\right)}{6}-\frac{i x \pi  \,\mathrm{csgn}\left(\frac{i \left(\left(-\ln \left(x^{2}+2 x -4\right)-5\right) x^{2}+\ln \left(5\right)\right)}{\ln \left(x^{2}+2 x -4\right)+5}\right) \mathrm{csgn}\left(\frac{i \left(\left(-\ln \left(x^{2}+2 x -4\right)-5\right) x^{2}+\ln \left(5\right)\right)}{x \left(\ln \left(x^{2}+2 x -4\right)+5\right)}\right)^{2}}{6}+\frac{i x \pi  \,\mathrm{csgn}\left(\frac{i \left(\left(-\ln \left(x^{2}+2 x -4\right)-5\right) x^{2}+\ln \left(5\right)\right)}{\ln \left(x^{2}+2 x -4\right)+5}\right) \mathrm{csgn}\left(\frac{i \left(\left(-\ln \left(x^{2}+2 x -4\right)-5\right) x^{2}+\ln \left(5\right)\right)}{x \left(\ln \left(x^{2}+2 x -4\right)+5\right)}\right) \mathrm{csgn}\left(\frac{i}{x}\right)}{6}+\frac{i x \pi  \mathrm{csgn}\left(\frac{i \left(\left(-\ln \left(x^{2}+2 x -4\right)-5\right) x^{2}+\ln \left(5\right)\right)}{x \left(\ln \left(x^{2}+2 x -4\right)+5\right)}\right)^{3}}{6}-\frac{i x \pi  \mathrm{csgn}\left(\frac{i \left(\left(-\ln \left(x^{2}+2 x -4\right)-5\right) x^{2}+\ln \left(5\right)\right)}{x \left(\ln \left(x^{2}+2 x -4\right)+5\right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)}{6}}$&$579$\\ \hline \end{longtable}"," ",0,"x^(1/3*x)*(ln(x^2+2*x-4)+5)^(1/3*x)*((-ln(x^2+2*x-4)-5)*x^2+ln(5))^(-1/3*x)*exp(3+1/6*I*x*Pi*csgn(I/(ln(x^2+2*x-4)+5)*((-ln(x^2+2*x-4)-5)*x^2+ln(5)))^3-1/6*I*x*Pi*csgn(I/(ln(x^2+2*x-4)+5)*((-ln(x^2+2*x-4)-5)*x^2+ln(5)))^2*csgn(I/(ln(x^2+2*x-4)+5))-1/6*I*x*Pi*csgn(I/(ln(x^2+2*x-4)+5)*((-ln(x^2+2*x-4)-5)*x^2+ln(5)))^2*csgn(I*((-ln(x^2+2*x-4)-5)*x^2+ln(5)))+1/6*I*x*Pi*csgn(I/(ln(x^2+2*x-4)+5)*((-ln(x^2+2*x-4)-5)*x^2+ln(5)))*csgn(I/(ln(x^2+2*x-4)+5))*csgn(I*((-ln(x^2+2*x-4)-5)*x^2+ln(5)))-1/6*I*x*Pi*csgn(I/(ln(x^2+2*x-4)+5)*((-ln(x^2+2*x-4)-5)*x^2+ln(5)))*csgn(I*((-ln(x^2+2*x-4)-5)*x^2+ln(5))/x/(ln(x^2+2*x-4)+5))^2+1/6*I*x*Pi*csgn(I/(ln(x^2+2*x-4)+5)*((-ln(x^2+2*x-4)-5)*x^2+ln(5)))*csgn(I*((-ln(x^2+2*x-4)-5)*x^2+ln(5))/x/(ln(x^2+2*x-4)+5))*csgn(I/x)+1/6*I*x*Pi*csgn(I*((-ln(x^2+2*x-4)-5)*x^2+ln(5))/x/(ln(x^2+2*x-4)+5))^3-1/6*I*x*Pi*csgn(I*((-ln(x^2+2*x-4)-5)*x^2+ln(5))/x/(ln(x^2+2*x-4)+5))^2*csgn(I/x))","C"
8264,1,59,22,0.037000," ","int(1/9*(22500*x^3-4500*x^2+200*x)*ln(2*x)^2+1/9*(9450*x^3-2820*x^2+200*x)*ln(2*x)-46*x^3+20/3*x^2-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-x +x^{4}-50 x^{4} \ln \left(2 x \right)+\frac{20 x^{3} \ln \left(2 x \right)}{3}+625 x^{4} \ln \left(2 x \right)^{2}-\frac{500 x^{3} \ln \left(2 x \right)^{2}}{3}+\frac{100 x^{2} \ln \left(2 x \right)^{2}}{9}$&$59$\\ default&$-x +x^{4}-50 x^{4} \ln \left(2 x \right)+\frac{20 x^{3} \ln \left(2 x \right)}{3}+625 x^{4} \ln \left(2 x \right)^{2}-\frac{500 x^{3} \ln \left(2 x \right)^{2}}{3}+\frac{100 x^{2} \ln \left(2 x \right)^{2}}{9}$&$59$\\ norman&$-x +x^{4}-50 x^{4} \ln \left(2 x \right)+\frac{20 x^{3} \ln \left(2 x \right)}{3}+625 x^{4} \ln \left(2 x \right)^{2}-\frac{500 x^{3} \ln \left(2 x \right)^{2}}{3}+\frac{100 x^{2} \ln \left(2 x \right)^{2}}{9}$&$59$\\ risch&$-x +x^{4}-50 x^{4} \ln \left(2 x \right)+\frac{20 x^{3} \ln \left(2 x \right)}{3}+625 x^{4} \ln \left(2 x \right)^{2}-\frac{500 x^{3} \ln \left(2 x \right)^{2}}{3}+\frac{100 x^{2} \ln \left(2 x \right)^{2}}{9}$&$59$\\ \hline \end{longtable}"," ",0,"-x+x^4-50*x^4*ln(2*x)+20/3*x^3*ln(2*x)+625*x^4*ln(2*x)^2-500/3*x^3*ln(2*x)^2+100/9*x^2*ln(2*x)^2","B"
8265,1,29,24,0.288000," ","int((8*x^2-4*x-16)/x^3/exp((x*ln(exp(1/4)-2)+x*exp(5)-2*x^2-4)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-\frac{x \,{\mathrm e}^{5}-2 x^{2}-4}{x}}}{x \left({\mathrm e}^{\frac{1}{4}}-2\right)}$&$29$\\ gosper&$\frac{4 \,{\mathrm e}^{-\frac{x \ln \left({\mathrm e}^{\frac{1}{4}}-2\right)+x \,{\mathrm e}^{5}-2 x^{2}-4}{x}}}{x}$&$31$\\ norman&$\frac{4 \,{\mathrm e}^{-\frac{x \ln \left({\mathrm e}^{\frac{1}{4}}-2\right)+x \,{\mathrm e}^{5}-2 x^{2}-4}{x}}}{x}$&$31$\\ \hline \end{longtable}"," ",0,"4/x/(exp(1/4)-2)*exp(-(x*exp(5)-2*x^2-4)/x)","A"
8266,1,25,24,1.316000," ","int(((-2*x*ln(20*x^2)+2*x*exp(5)+2*x)*exp(-x^2/(ln(20*x^2)-exp(5)))-ln(20*x^2)^2+2*exp(5)*ln(20*x^2)-exp(5)^2)/((ln(20*x^2)^2-2*exp(5)*ln(20*x^2)+exp(5)^2)*exp(-x^2/(ln(20*x^2)-exp(5)))-x*ln(20*x^2)^2+2*x*exp(5)*ln(20*x^2)-x*exp(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x -{\mathrm e}^{-\frac{x^{2}}{\ln \left(20 x^{2}\right)-{\mathrm e}^{5}}}\right)$&$25$\\ norman&$\ln \left(x -{\mathrm e}^{-\frac{x^{2}}{\ln \left(20 x^{2}\right)-{\mathrm e}^{5}}}\right)$&$25$\\ risch&$\frac{x^{2}}{-\ln \left(20 x^{2}\right)+{\mathrm e}^{5}}+\frac{x^{2}}{\ln \left(20 x^{2}\right)-{\mathrm e}^{5}}+\ln \left({\mathrm e}^{\frac{x^{2}}{-\ln \left(20 x^{2}\right)+{\mathrm e}^{5}}}-x \right)$&$59$\\ \hline \end{longtable}"," ",0,"ln(x-exp(-x^2/(ln(20*x^2)-exp(5))))","A"
8267,1,19,20,0.056000," ","int(((-x^2-2*x)*exp(x-ln(2))+10*x+5)*exp(-x^2*exp(x-ln(2))+5*x^2+5*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{{\mathrm e}^{x} x^{2}}{2}+5 x^{2}+5 x +25}$&$19$\\ norman&${\mathrm e}^{-x^{2} {\mathrm e}^{x -\ln \left(2\right)}+5 x^{2}+5 x +25}$&$24$\\ \hline \end{longtable}"," ",0,"exp(-1/2*exp(x)*x^2+5*x^2+5*x+25)","A"
8268,1,18,17,0.046000," ","int((-8*exp(x)^2+20*exp(x))/((4*x^2+12*x+9)*exp(x)^2+(20*x+30)*exp(x)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 \,{\mathrm e}^{x}}{2 \,{\mathrm e}^{x} x +3 \,{\mathrm e}^{x}+5}$&$18$\\ risch&$\frac{2}{x +\frac{3}{2}}-\frac{20}{\left(2 x +3\right) \left(2 \,{\mathrm e}^{x} x +3 \,{\mathrm e}^{x}+5\right)}$&$31$\\ \hline \end{longtable}"," ",0,"4*exp(x)/(2*exp(x)*x+3*exp(x)+5)","A"
8269,1,12,13,0.095000," ","int(-9/(x*ln(x)+x*exp(5)-3*x)/ln(ln(x)+exp(5)-3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{9}{\ln \left(\ln \left(x \right)+{\mathrm e}^{5}-3\right)}$&$12$\\ norman&$\frac{9}{\ln \left(\ln \left(x \right)+{\mathrm e}^{5}-3\right)}$&$12$\\ risch&$\frac{9}{\ln \left(\ln \left(x \right)+{\mathrm e}^{5}-3\right)}$&$12$\\ \hline \end{longtable}"," ",0,"9/ln(ln(x)+exp(5)-3)","A"
8270,1,22,26,0.333000," ","int((((4*x^2-8*x)*exp(-ln(5)+2*x^2+15)+2-x)*exp(exp(-ln(5)+2*x^2+15)-x+1)+1)/(x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{2 x^{2}+15}}{5}-x +1}+\ln \left(x -2\right)$&$22$\\ norman&${\mathrm e}^{{\mathrm e}^{-\ln \left(5\right)+2 x^{2}+15}-x +1}+\ln \left(x -2\right)$&$24$\\ \hline \end{longtable}"," ",0,"exp(1/5*exp(2*x^2+15)-x+1)+ln(x-2)","A"
8271,1,48,30,0.051000," ","int((((4*x^2-2)*exp(4)^8*exp(x)^4+(16*x^2-8)*exp(4)^4*exp(x)^2+16*x^2-8)*ln(5*x)+(-4*x^4+2*x^2)*exp(4)^8*exp(x)^4+(-16*x^4+8*x^2-8*x)*exp(4)^4*exp(x)^2-16*x^4+8*x^2)/(x*exp(4)^8*exp(x)^4+4*x*exp(4)^4*exp(x)^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(5 x \right)^{2}+2 x^{2} \ln \left(5 x \right)-\frac{{\mathrm e}^{2 x +16} x^{4}+2 x^{4}-4}{{\mathrm e}^{2 x +16}+2}$&$48$\\ \hline \end{longtable}"," ",0,"-ln(5*x)^2+2*x^2*ln(5*x)-(exp(2*x+16)*x^4+2*x^4-4)/(exp(2*x+16)+2)","A"
8272,1,7,8,0.015000," ","int(-2*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{2 x}$&$7$\\ derivativedivides&$-{\mathrm e}^{2 x}$&$7$\\ default&$-{\mathrm e}^{2 x}$&$7$\\ norman&$-{\mathrm e}^{2 x}$&$7$\\ risch&$-{\mathrm e}^{2 x}$&$7$\\ meijerg&$1-{\mathrm e}^{2 x}$&$9$\\ \hline \end{longtable}"," ",0,"-exp(x)^2","A"
8273,1,19,20,0.389000," ","int(2*((24*x^4-12*x^3)*ln(3)+24*x^4-12*x^3)*ln(2)/(64*x^2-48*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 x^{4} \left(\ln \left(3\right)+1\right) \ln \left(2\right)}{8 x -3}$&$19$\\ norman&$\frac{\left(2 \ln \left(2\right) \ln \left(3\right)+2 \ln \left(2\right)\right) x^{4}}{8 x -3}$&$23$\\ default&$2 \ln \left(2\right) \left(12 \ln \left(3\right)+12\right) \left(\frac{x^{3}}{96}+\frac{x^{2}}{256}+\frac{3 x}{2048}+\frac{27}{16384 \left(8 x -3\right)}\right)$&$34$\\ risch&$\frac{x^{3} \ln \left(3\right) \ln \left(2\right)}{4}+\frac{3 \ln \left(2\right) \ln \left(3\right) x^{2}}{32}+\frac{x^{3} \ln \left(2\right)}{4}+\frac{9 x \ln \left(2\right) \ln \left(3\right)}{256}+\frac{3 x^{2} \ln \left(2\right)}{32}+\frac{9 x \ln \left(2\right)}{256}+\frac{81 \ln \left(2\right)}{16384 \left(x -\frac{3}{8}\right)}+\frac{81 \ln \left(2\right) \ln \left(3\right)}{16384 \left(x -\frac{3}{8}\right)}$&$66$\\ meijerg&$-\frac{27 \left(24 \ln \left(3\right)+24\right) \ln \left(2\right) \left(-\frac{8 x \left(-\frac{2560}{27} x^{3}-\frac{640}{9} x^{2}-80 x +60\right)}{45 \left(1-\frac{8 x}{3}\right)}-4 \ln \left(1-\frac{8 x}{3}\right)\right)}{16384}+\frac{9 \left(-12 \ln \left(3\right)-12\right) \ln \left(2\right) \left(\frac{2 x \left(-\frac{128}{9} x^{2}-16 x +12\right)}{3 \left(1-\frac{8 x}{3}\right)}+3 \ln \left(1-\frac{8 x}{3}\right)\right)}{2048}$&$85$\\ \hline \end{longtable}"," ",0,"2*x^4*(ln(3)+1)*ln(2)/(8*x-3)","A"
8274,1,20,13,0.033000," ","int(1/6*((6*x+6)*exp(x)+x-30)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{x -4}-5 x \,{\mathrm e}^{-4}+\frac{{\mathrm e}^{-4} x^{2}}{12}$&$20$\\ default&$\frac{{\mathrm e}^{-4} \left(-30 x +\frac{x^{2}}{2}+6 \,{\mathrm e}^{x} x \right)}{6}$&$21$\\ norman&$x \,{\mathrm e}^{-4} {\mathrm e}^{x}-5 x \,{\mathrm e}^{-4}+\frac{{\mathrm e}^{-4} x^{2}}{12}$&$26$\\ \hline \end{longtable}"," ",0,"x*exp(x-4)-5*x*exp(-4)+1/12*exp(-4)*x^2","A"
8275,1,19,18,0.040000," ","int((x*ln(x^3)+101250*x^2*ln(2)^2+3*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(x^{3}\right)+\ln \left(x \right)+50625 x^{2} \ln \left(2\right)^{2}$&$19$\\ risch&$x \ln \left(x^{3}\right)+\ln \left(x \right)+50625 x^{2} \ln \left(2\right)^{2}$&$19$\\ norman&$x \ln \left(x^{3}\right)+\frac{\ln \left(x^{3}\right)}{3}+50625 x^{2} \ln \left(2\right)^{2}$&$23$\\ \hline \end{longtable}"," ",0,"x*ln(x^3)+ln(x)+50625*x^2*ln(2)^2","A"
8276,1,11,11,0.052000," ","int((-2*x*exp(3)-16*x)*exp(-x^2*exp(3)-8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-x^{2} \left({\mathrm e}^{3}+8\right)}$&$11$\\ gosper&${\mathrm e}^{-x^{2} {\mathrm e}^{3}-8 x^{2}}$&$15$\\ derivativedivides&${\mathrm e}^{-x^{2} {\mathrm e}^{3}-8 x^{2}}$&$15$\\ norman&${\mathrm e}^{-x^{2} {\mathrm e}^{3}-8 x^{2}}$&$15$\\ meijerg&$\frac{\left(-2 \,{\mathrm e}^{3}-16\right) \left(1-{\mathrm e}^{-x^{2} \left({\mathrm e}^{3}+8\right)}\right)}{2 \,{\mathrm e}^{3}+16}$&$29$\\ default&$-\frac{8 \,{\mathrm e}^{x^{2} \left(-8-{\mathrm e}^{3}\right)}}{-8-{\mathrm e}^{3}}-\frac{{\mathrm e}^{3+x^{2} \left(-8-{\mathrm e}^{3}\right)}}{-8-{\mathrm e}^{3}}$&$46$\\ \hline \end{longtable}"," ",0,"exp(-x^2*(exp(3)+8))","A"
8277,1,36,26,2.806000," ","int((16*x*ln(2)^3+4*(-64*x^3-6*x^2+24*x)*ln(2)^2+2*(64*x^5+96*x^4-506*x^3-48*x^2+96*x)*ln(2)-32*x^6+224*x^5+382*x^4-1000*x^3-96*x^2+128*x)*exp((64*ln(2)^2+2*(-32*x^2-32*x+128)*ln(2)+16*x^4+32*x^3-112*x^2-128*x+256)/(4*ln(2)^2+2*(-2*x+8)*ln(2)+x^2-8*x+16))*exp(x^2*exp((64*ln(2)^2+2*(-32*x^2-32*x+128)*ln(2)+16*x^4+32*x^3-112*x^2-128*x+256)/(4*ln(2)^2+2*(-2*x+8)*ln(2)+x^2-8*x+16)))/(8*ln(2)^3+4*(-3*x+12)*ln(2)^2+2*(3*x^2-24*x+48)*ln(2)-x^3+12*x^2-48*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{2} {\mathrm e}^{\frac{16 \left(-x^{2}+2 \ln \left(2\right)-x +4\right)^{2}}{\left(4+2 \ln \left(2\right)-x \right)^{2}}}}$&$36$\\ norman&$\frac{x^{2} {\mathrm e}^{x^{2} {\mathrm e}^{\frac{64 \ln \left(2\right)^{2}+2 \left(-32 x^{2}-32 x +128\right) \ln \left(2\right)+16 x^{4}+32 x^{3}-112 x^{2}-128 x +256}{4 \ln \left(2\right)^{2}+2 \left(-2 x +8\right) \ln \left(2\right)+x^{2}-8 x +16}}}+\left(4 \ln \left(2\right)^{2}+16 \ln \left(2\right)+16\right) {\mathrm e}^{x^{2} {\mathrm e}^{\frac{64 \ln \left(2\right)^{2}+2 \left(-32 x^{2}-32 x +128\right) \ln \left(2\right)+16 x^{4}+32 x^{3}-112 x^{2}-128 x +256}{4 \ln \left(2\right)^{2}+2 \left(-2 x +8\right) \ln \left(2\right)+x^{2}-8 x +16}}}+\left(-4 \ln \left(2\right)-8\right) x \,{\mathrm e}^{x^{2} {\mathrm e}^{\frac{64 \ln \left(2\right)^{2}+2 \left(-32 x^{2}-32 x +128\right) \ln \left(2\right)+16 x^{4}+32 x^{3}-112 x^{2}-128 x +256}{4 \ln \left(2\right)^{2}+2 \left(-2 x +8\right) \ln \left(2\right)+x^{2}-8 x +16}}}}{\left(4+2 \ln \left(2\right)-x \right)^{2}}$&$255$\\ \hline \end{longtable}"," ",0,"exp(x^2*exp(16*(-x^2+2*ln(2)-x+4)^2/(4+2*ln(2)-x)^2))","A"
8278,1,17,12,0.063000," ","int(((-5*x^2-5*x)*exp(2)*exp(x)*ln(x)-5*x*exp(2)*exp(x)-3*exp(2))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-5 x \,{\mathrm e}^{2} {\mathrm e}^{x} \ln \left(x \right)-3 \,{\mathrm e}^{2} \ln \left(x \right)$&$17$\\ norman&$-5 x \,{\mathrm e}^{2} {\mathrm e}^{x} \ln \left(x \right)-3 \,{\mathrm e}^{2} \ln \left(x \right)$&$17$\\ risch&$-5 x \ln \left(x \right) {\mathrm e}^{2+x}-3 \,{\mathrm e}^{2} \ln \left(x \right)$&$17$\\ \hline \end{longtable}"," ",0,"-5*x*exp(2)*exp(x)*ln(x)-3*exp(2)*ln(x)","A"
8279,1,22,25,0.102000," ","int(((-3*x^3-3*x^2-x)*exp(4*x+ln(x))-x^2-3*x-1)/((x^3+x^2)*exp(4*x+ln(x))-x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x +1\right)-\ln \left(x \,{\mathrm e}^{4 x}-\frac{1}{x}\right)$&$22$\\ norman&$x +\ln \left(x \right)-\ln \left(x \,{\mathrm e}^{4 x +\ln \left(x \right)}-1\right)+\ln \left(x +1\right)$&$23$\\ \hline \end{longtable}"," ",0,"x+ln(x+1)-ln(x*exp(4*x)-1/x)","A"
8280,1,17,16,0.030000," ","int(((64*x^3*ln(x)*ln(ln(x))+(-64*x^4+256*x^3)*ln(x))*ln(-ln(ln(x))+x-4)^2+(-32*x^4*ln(x)+32*x^3)*ln(-ln(ln(x))+x-4))/(ln(x)*ln(ln(x))+(-x+4)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{4} \ln \left(-\ln \left(\ln \left(x \right)\right)+x -4\right)^{2}$&$17$\\ \hline \end{longtable}"," ",0,"16*x^4*ln(-ln(ln(x))+x-4)^2","A"
8281,1,59,24,0.039000," ","int(((-180*x^5-6075*x^4)*ln(x)^4+375*ln(x)^2+750*ln(x))/((9*x^10+810*x^9+18225*x^8+90*x^6+4050*x^5+225*x^2)*ln(x)^4+(150*x^5+6750*x^4+750*x)*ln(x)^2+625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{x^{4}+45 x^{3}+5}-\frac{125}{\left(x^{4}+45 x^{3}+5\right) \left(3 x^{5} \ln \left(x \right)^{2}+135 x^{4} \ln \left(x \right)^{2}+15 x \ln \left(x \right)^{2}+25\right)}$&$59$\\ \hline \end{longtable}"," ",0,"5/(x^4+45*x^3+5)-125/(x^4+45*x^3+5)/(3*x^5*ln(x)^2+135*x^4*ln(x)^2+15*x*ln(x)^2+25)","B"
8282,1,54,30,0.056000," ","int(((3*x*exp((3-x)/x)+x^3)*ln(x)+(-x^3*exp((3-x)/x)^2+2*x^4*exp((3-x)/x)-x^5)*exp(x-2)+(x^2+8*x-15)*exp((3-x)/x)-10*x^2)/((x^3*exp((3-x)/x)-x^4)*ln(x)+(-x^3*exp((3-x)/x)^2+2*x^4*exp((3-x)/x)-x^5)*exp(x-2)+(x^3-5*x^2)*exp((3-x)/x)-x^4+5*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left({\mathrm e}^{-\frac{x -3}{x}}-x \right)-1+\ln \left(\ln \left(x \right)+\frac{x^{2} {\mathrm e}^{x -2}-x \,{\mathrm e}^{\frac{x^{2}-3 x +3}{x}}+x -5}{x}\right)$&$54$\\ \hline \end{longtable}"," ",0,"-ln(exp(-(x-3)/x)-x)-1+ln(ln(x)+(x^2*exp(x-2)-x*exp((x^2-3*x+3)/x)+x-5)/x)","A"
8283,1,23,19,0.365000," ","int(((-x^3-10*x^2-33*x)*exp(1)*exp((-x^2-34*x-137)/(5+x))+(x^2+10*x+25)*exp(1))*exp(exp((-x^2-34*x-137)/(5+x)))/(12*x^2+120*x+300),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{1+{\mathrm e}^{-\frac{x^{2}+34 x +137}{5+x}}}}{12}$&$23$\\ norman&$\frac{\frac{5 x \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{\frac{-x^{2}-34 x -137}{5+x}}}}{12}+\frac{x^{2} {\mathrm e} \,{\mathrm e}^{{\mathrm e}^{\frac{-x^{2}-34 x -137}{5+x}}}}{12}}{5+x}$&$56$\\ \hline \end{longtable}"," ",0,"1/12*x*exp(1+exp(-(x^2+34*x+137)/(5+x)))","A"
8284,1,15,14,0.040000," ","int((4000*x^4+2400*x^3-480*x^2)*exp(5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$160 \,{\mathrm e}^{5 x} \left(5 x -1\right) x^{3}$&$15$\\ risch&$\left(800 x^{4}-160 x^{3}\right) {\mathrm e}^{5 x}$&$17$\\ derivativedivides&$800 x^{4} {\mathrm e}^{5 x}-160 \,{\mathrm e}^{5 x} x^{3}$&$20$\\ default&$800 x^{4} {\mathrm e}^{5 x}-160 \,{\mathrm e}^{5 x} x^{3}$&$20$\\ norman&$800 x^{4} {\mathrm e}^{5 x}-160 \,{\mathrm e}^{5 x} x^{3}$&$20$\\ meijerg&$\frac{32 \left(3125 x^{4}-2500 x^{3}+1500 x^{2}-600 x +120\right) {\mathrm e}^{5 x}}{125}-\frac{24 \left(-500 x^{3}+300 x^{2}-120 x +24\right) {\mathrm e}^{5 x}}{25}-\frac{32 \left(75 x^{2}-30 x +6\right) {\mathrm e}^{5 x}}{25}$&$65$\\ \hline \end{longtable}"," ",0,"160*exp(5*x)*(5*x-1)*x^3","A"
8285,1,51,19,0.085000," ","int((2*ln(3)^2+(4*x+2)*ln(3)+2*x^2+2*x)*ln(5)^16*exp(3+x)^2+((-4*x-4)*ln(3)-4*x^2-8*x)*ln(5)^8*exp(3+x)+8*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(5\right)^{16} \left(\ln \left(3\right)^{2}+2 x \ln \left(3\right)+x^{2}\right) {\mathrm e}^{2 x +6}+\ln \left(5\right)^{8} \left(-4 x \ln \left(3\right)-4 x^{2}\right) {\mathrm e}^{3+x}+4 x^{2}$&$51$\\ default&$-4 \ln \left(5\right)^{8} \ln \left(3\right) {\mathrm e}^{3+x} x -4 \ln \left(5\right)^{8} {\mathrm e}^{3+x} x^{2}+\ln \left(5\right)^{16} \ln \left(3\right)^{2} {\mathrm e}^{2 x +6}+2 \ln \left(5\right)^{16} \ln \left(3\right) {\mathrm e}^{2 x +6} x +\ln \left(5\right)^{16} {\mathrm e}^{2 x +6} x^{2}+4 x^{2}$&$77$\\ norman&$-4 \ln \left(5\right)^{8} \ln \left(3\right) {\mathrm e}^{3+x} x -4 \ln \left(5\right)^{8} {\mathrm e}^{3+x} x^{2}+\ln \left(5\right)^{16} \ln \left(3\right)^{2} {\mathrm e}^{2 x +6}+2 \ln \left(5\right)^{16} \ln \left(3\right) {\mathrm e}^{2 x +6} x +\ln \left(5\right)^{16} {\mathrm e}^{2 x +6} x^{2}+4 x^{2}$&$77$\\ derivativedivides&$-72-24 x -4 \ln \left(5\right)^{8} \ln \left(3\right) {\mathrm e}^{3+x} \left(3+x \right)-4 \ln \left(5\right)^{8} {\mathrm e}^{3+x} \left(3+x \right)^{2}+12 \ln \left(5\right)^{8} {\mathrm e}^{3+x} \ln \left(3\right)+24 \ln \left(5\right)^{8} {\mathrm e}^{3+x} \left(3+x \right)-36 \ln \left(5\right)^{8} {\mathrm e}^{3+x}+\ln \left(5\right)^{16} \ln \left(3\right)^{2} {\mathrm e}^{2 x +6}+2 \ln \left(5\right)^{16} \ln \left(3\right) {\mathrm e}^{2 x +6} \left(3+x \right)+\ln \left(5\right)^{16} {\mathrm e}^{2 x +6} \left(3+x \right)^{2}-6 \ln \left(5\right)^{16} {\mathrm e}^{2 x +6} \ln \left(3\right)-6 \ln \left(5\right)^{16} {\mathrm e}^{2 x +6} \left(3+x \right)+9 \ln \left(5\right)^{16} {\mathrm e}^{2 x +6}+4 \left(3+x \right)^{2}$&$167$\\ \hline \end{longtable}"," ",0,"ln(5)^16*(ln(3)^2+2*x*ln(3)+x^2)*exp(2*x+6)+ln(5)^8*(-4*x*ln(3)-4*x^2)*exp(3+x)+4*x^2","B"
8286,1,34,34,0.094000," ","int((2*x*exp(2)^3*exp(-exp(x)+exp(-x^2+2*x))^3-6*x^2*exp(2)^2*exp(-exp(x)+exp(-x^2+2*x))^2+(2*x^3*exp(2)^3*exp(x)+(4*x^4-4*x^3)*exp(2)^3*exp(-x^2+2*x)+3*x^2*exp(2)^3+6*x^3*exp(2))*exp(-exp(x)+exp(-x^2+2*x))-x^3*exp(2)^2-2*x^4)/(4*exp(2)^3*exp(-exp(x)+exp(-x^2+2*x))^3-12*x*exp(2)^2*exp(-exp(x)+exp(-x^2+2*x))^2+12*x^2*exp(2)*exp(-exp(x)+exp(-x^2+2*x))-4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{4}+\frac{x^{3} {\mathrm e}^{4}}{4 \left({\mathrm e}^{-{\mathrm e}^{x}+{\mathrm e}^{-\left(x -2\right) x}+2}-x \right)^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"1/4*x^2+1/4*x^3*exp(4)/(exp(-exp(x)+exp(-(x-2)*x)+2)-x)^2","A"
8287,1,24,20,0.177000," ","int(((50+x)*exp((x+25)/x^2)-x^3)/(x^3*exp((x+25)/x^2)^2+2*x^4*exp((x+25)/x^2)+x^5)/ln(4*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1}{\left(2 \ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) \left(x +{\mathrm e}^{\frac{x +25}{x^{2}}}\right)}$&$24$\\ risch&$\frac{1}{\left(2 \ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) \left(x +{\mathrm e}^{\frac{x +25}{x^{2}}}\right)}$&$24$\\ \hline \end{longtable}"," ",0,"1/(2*ln(2)+ln(ln(2)))/(x+exp((x+25)/x^2))","A"
8288,1,25,24,49.167000," ","int(((3750*x^4+7031250*x^3)*exp((625*x^3+3*x+3750)/(x+1250))-3*x^2-7500*x-4687500)/(x^3+2500*x^2+1562500*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 \ln \left(x \right)+3 \,{\mathrm e}^{\frac{625 x^{3}+3 x +3750}{x +1250}}$&$25$\\ norman&$\frac{3 x \,{\mathrm e}^{\frac{625 x^{3}+3 x +3750}{x +1250}}+3750 \,{\mathrm e}^{\frac{625 x^{3}+3 x +3750}{x +1250}}}{x +1250}-3 \ln \left(x \right)$&$52$\\ \hline \end{longtable}"," ",0,"-3*ln(x)+3*exp((625*x^3+3*x+3750)/(x+1250))","A"
8289,1,40,24,0.164000," ","int((-9*x^3*ln(x)+(x^6-2*x^3+1)*ln(6)-15*x^6+33*x^3-18)/(x^7-2*x^4+x)/ln(6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{\left(18-\ln \left(6\right)\right) \ln \left(x \right)}{\ln \left(6\right)}-\frac{\left(-\ln \left(6\right)+15\right) x^{3} \ln \left(x \right)}{\ln \left(6\right)}}{x^{3}-1}$&$40$\\ risch&$\frac{3 \ln \left(x \right)}{\left(\ln \left(2\right)+\ln \left(3\right)\right) \left(x^{3}-1\right)}+\frac{\ln \left(x \right) \ln \left(3\right)}{\ln \left(2\right)+\ln \left(3\right)}+\frac{\ln \left(x \right) \ln \left(2\right)}{\ln \left(2\right)+\ln \left(3\right)}-\frac{15 \ln \left(x \right)}{\ln \left(2\right)+\ln \left(3\right)}$&$55$\\ default&$\frac{\ln \left(6\right) \ln \left(x \right)-\frac{i \sqrt{3}\, \ln \left(x \right) \ln \left(\frac{i \sqrt{3}-2 x -1}{-1+i \sqrt{3}}\right)}{3}+\frac{i \sqrt{3}\, \ln \left(x \right) \ln \left(\frac{i \sqrt{3}+2 x +1}{1+i \sqrt{3}}\right)}{3}+\frac{\ln \left(x \right) x}{x -1}+\frac{\ln \left(x \right) \left(i \ln \left(\frac{i \sqrt{3}-2 x -1}{-1+i \sqrt{3}}\right) \sqrt{3}\, x^{2}-i \ln \left(\frac{i \sqrt{3}+2 x +1}{1+i \sqrt{3}}\right) \sqrt{3}\, x^{2}+i \ln \left(\frac{i \sqrt{3}-2 x -1}{-1+i \sqrt{3}}\right) \sqrt{3}\, x -i \ln \left(\frac{i \sqrt{3}+2 x +1}{1+i \sqrt{3}}\right) \sqrt{3}\, x +i \sqrt{3}\, \ln \left(\frac{i \sqrt{3}-2 x -1}{-1+i \sqrt{3}}\right)-i \sqrt{3}\, \ln \left(\frac{i \sqrt{3}+2 x +1}{1+i \sqrt{3}}\right)+6 x^{2}+3 x \right)}{3 x^{2}+3 x +3}-18 \ln \left(x \right)}{\ln \left(6\right)}$&$290$\\ \hline \end{longtable}"," ",0,"((18-ln(6))/ln(6)*ln(x)-(-ln(6)+15)/ln(6)*x^3*ln(x))/(x^3-1)","A"
8290,1,15,17,0.060000," ","int(1/5*(-3*exp(1)*exp(1/5*(3*exp(1)+75*x)/x)-5*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-x +{\mathrm e}^{15+\frac{3 \,{\mathrm e}}{5 x}}$&$15$\\ default&$-x +{\mathrm e}^{15+\frac{3 \,{\mathrm e}}{5 x}}$&$15$\\ risch&$-x +{\mathrm e}^{\frac{\frac{3 \,{\mathrm e}}{5}+15 x}{x}}$&$17$\\ \hline \end{longtable}"," ",0,"-x+exp(15+3/5*exp(1)/x)","A"
8291,1,15,18,0.041000," ","int((-4*x^2-52*x)*exp(5)^4/(3*x^5-195*x^4+5070*x^3-65910*x^2+428415*x-1113879),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x^{2} {\mathrm e}^{20}}{3 \left(x -13\right)^{4}}$&$15$\\ risch&$\frac{2 x^{2} {\mathrm e}^{20}}{3 \left(x^{4}-52 x^{3}+1014 x^{2}-8788 x +28561\right)}$&$28$\\ default&$\frac{4 \,{\mathrm e}^{20} \left(\frac{13}{\left(x -13\right)^{3}}+\frac{169}{2 \left(x -13\right)^{4}}+\frac{1}{2 \left(x -13\right)^{2}}\right)}{3}$&$29$\\ gosper&$\frac{2 x^{2} {\mathrm e}^{20}}{3 \left(x^{4}-52 x^{3}+1014 x^{2}-8788 x +28561\right)}$&$30$\\ \hline \end{longtable}"," ",0,"2/3*x^2*exp(5)^4/(x-13)^4","A"
8292,1,14,27,0.058000," ","int((exp(5)*exp(x*exp(5))-exp(x)-1)/(exp(x*exp(5))-exp(x)-x+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(-{\mathrm e}^{x \,{\mathrm e}^{5}}+{\mathrm e}^{x}+x -6\right)$&$14$\\ derivativedivides&$\ln \left({\mathrm e}^{x \,{\mathrm e}^{5}}-{\mathrm e}^{x}-x +6\right)$&$16$\\ default&$\ln \left({\mathrm e}^{x \,{\mathrm e}^{5}}-{\mathrm e}^{x}-x +6\right)$&$16$\\ risch&$\ln \left({\mathrm e}^{x \,{\mathrm e}^{5}}-{\mathrm e}^{x}-x +6\right)$&$16$\\ \hline \end{longtable}"," ",0,"ln(-exp(x*exp(5))+exp(x)+x-6)","A"
8293,1,12,17,0.045000," ","int(((exp(x)*x+4)*exp(exp(x))+12)/(x*exp(exp(x))+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 \ln \left(x \right)+\ln \left({\mathrm e}^{{\mathrm e}^{x}}+3\right)$&$12$\\ risch&$4 \ln \left(x \right)+\ln \left({\mathrm e}^{{\mathrm e}^{x}}+3\right)$&$12$\\ \hline \end{longtable}"," ",0,"4*ln(x)+ln(exp(exp(x))+3)","A"
8294,1,14,18,0.030000," ","int(1/2*(-2*exp(2)+6*x^2+5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 x^{2}+{\mathrm e}^{2}-\frac{5}{2}}{x}$&$14$\\ default&$3 x -\frac{-2 \,{\mathrm e}^{2}+5}{2 x}$&$16$\\ risch&$3 x +\frac{{\mathrm e}^{2}}{x}-\frac{5}{2 x}$&$16$\\ gosper&$\frac{6 x^{2}+2 \,{\mathrm e}^{2}-5}{2 x}$&$17$\\ \hline \end{longtable}"," ",0,"(3*x^2+exp(2)-5/2)/x","A"
8295,1,31,22,0.390000," ","int((((2*x^2-4*x+2)*exp(x)^2+(-2*x^3-64*x^2+134*x-68)*exp(x)+2*x^3+62*x^2-130*x+66)*exp(exp(x)^2+(-2*x-66)*exp(x)+x^2+66*x+1089)-2)/(x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{x -1}+{\mathrm e}^{-2 \,{\mathrm e}^{x} x +x^{2}-66 \,{\mathrm e}^{x}+{\mathrm e}^{2 x}+66 x +1089}$&$31$\\ norman&$\frac{x \,{\mathrm e}^{{\mathrm e}^{2 x}+\left(-2 x -66\right) {\mathrm e}^{x}+x^{2}+66 x +1089}-{\mathrm e}^{{\mathrm e}^{2 x}+\left(-2 x -66\right) {\mathrm e}^{x}+x^{2}+66 x +1089}+2}{x -1}$&$55$\\ \hline \end{longtable}"," ",0,"2/(x-1)+exp(-2*exp(x)*x+x^2-66*exp(x)+exp(2*x)+66*x+1089)","A"
8296,1,22,21,0.119000," ","int((-12800*x*exp(x^2)*exp(exp(x^2))+1920*x-12800)/(6400*exp(exp(x^2))^2+(-1920*x^2+25600*x+4000)*exp(exp(x^2))+144*x^4-3840*x^3+25000*x^2+8000*x+625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{80}{12 x^{2}-160 x -80 \,{\mathrm e}^{{\mathrm e}^{x^{2}}}-25}$&$22$\\ risch&$-\frac{80}{12 x^{2}-160 x -80 \,{\mathrm e}^{{\mathrm e}^{x^{2}}}-25}$&$22$\\ \hline \end{longtable}"," ",0,"-80/(12*x^2-160*x-80*exp(exp(x^2))-25)","A"
8297,1,66,27,0.160000," ","int(((x*exp(4)*exp(5)+5*x*exp(4))*ln(5*exp(3/(x*exp(4)*exp(5)+5*x*exp(4))))^2+(-4*x^2*exp(4)*exp(5)-20*x^2*exp(4)-6)*ln(5*exp(3/(x*exp(4)*exp(5)+5*x*exp(4))))+3*x^3*exp(4)*exp(5)+15*x^3*exp(4)+6*x)/(x*exp(4)*exp(5)+5*x*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left({\mathrm e}^{\frac{3}{x \left(5 \,{\mathrm e}^{4}+{\mathrm e}^{9}\right)}}\right)^{2}+\left(2 x \ln \left(5\right)-2 x^{2}\right) \ln \left({\mathrm e}^{\frac{3}{x \left(5 \,{\mathrm e}^{4}+{\mathrm e}^{9}\right)}}\right)+x \ln \left(5\right)^{2}-2 x^{2} \ln \left(5\right)+x^{3}$&$66$\\ default&$\frac{25 x \left(\ln \left(5 \,{\mathrm e}^{\frac{3}{x \,{\mathrm e}^{4} {\mathrm e}^{5}+5 x \,{\mathrm e}^{4}}}\right)-\frac{3}{x \,{\mathrm e}^{4} {\mathrm e}^{5}+5 x \,{\mathrm e}^{4}}\right)^{2}}{\left({\mathrm e}^{5}+5\right)^{2}}+\frac{10 \,{\mathrm e}^{-4} {\mathrm e}^{9} x \left(\ln \left(5 \,{\mathrm e}^{\frac{3}{x \,{\mathrm e}^{4} {\mathrm e}^{5}+5 x \,{\mathrm e}^{4}}}\right)-\frac{3}{x \,{\mathrm e}^{4} {\mathrm e}^{5}+5 x \,{\mathrm e}^{4}}\right)^{2}}{\left({\mathrm e}^{5}+5\right)^{2}}+\frac{{\mathrm e}^{-8} {\mathrm e}^{18} x \left(\ln \left(5 \,{\mathrm e}^{\frac{3}{x \,{\mathrm e}^{4} {\mathrm e}^{5}+5 x \,{\mathrm e}^{4}}}\right)-\frac{3}{x \,{\mathrm e}^{4} {\mathrm e}^{5}+5 x \,{\mathrm e}^{4}}\right)^{2}}{\left({\mathrm e}^{5}+5\right)^{2}}+\frac{30 \,{\mathrm e}^{-4} \left(\ln \left(5 \,{\mathrm e}^{\frac{3}{x \,{\mathrm e}^{4} {\mathrm e}^{5}+5 x \,{\mathrm e}^{4}}}\right)-\frac{3}{x \,{\mathrm e}^{4} {\mathrm e}^{5}+5 x \,{\mathrm e}^{4}}\right) \ln \left(x \right)}{\left({\mathrm e}^{5}+5\right)^{2}}+\frac{6 \,{\mathrm e}^{-8} \left(\ln \left(5 \,{\mathrm e}^{\frac{3}{x \,{\mathrm e}^{4} {\mathrm e}^{5}+5 x \,{\mathrm e}^{4}}}\right)-\frac{3}{x \,{\mathrm e}^{4} {\mathrm e}^{5}+5 x \,{\mathrm e}^{4}}\right) \ln \left(x \right) {\mathrm e}^{9}}{\left({\mathrm e}^{5}+5\right)^{2}}-\frac{9 \,{\mathrm e}^{-8}}{\left({\mathrm e}^{5}+5\right)^{2} x}+\frac{3 \,{\mathrm e}^{-4} \left(\frac{x^{3} {\mathrm e}^{4} {\mathrm e}^{5}}{3}+\frac{5 x^{3} {\mathrm e}^{4}}{3}+2 x \right)}{{\mathrm e}^{5}+5}-\frac{10 \ln \left(5 \,{\mathrm e}^{\frac{3}{x \,{\mathrm e}^{4} {\mathrm e}^{5}+5 x \,{\mathrm e}^{4}}}\right) x^{2}}{{\mathrm e}^{5}+5}-\frac{2 \,{\mathrm e}^{-4} {\mathrm e}^{9} \ln \left(5 \,{\mathrm e}^{\frac{3}{x \,{\mathrm e}^{4} {\mathrm e}^{5}+5 x \,{\mathrm e}^{4}}}\right) x^{2}}{{\mathrm e}^{5}+5}-\frac{6 \,{\mathrm e}^{-4} \ln \left(x \right) \ln \left(5 \,{\mathrm e}^{\frac{3}{x \,{\mathrm e}^{4} {\mathrm e}^{5}+5 x \,{\mathrm e}^{4}}}\right)}{{\mathrm e}^{5}+5}-\frac{30 \,{\mathrm e}^{-4} {\mathrm e}^{5} x}{\left({\mathrm e}^{5}+5\right)^{3}}-\frac{6 \,{\mathrm e}^{-8} {\mathrm e}^{5} {\mathrm e}^{9} x}{\left({\mathrm e}^{5}+5\right)^{3}}+\frac{18 \,{\mathrm e}^{-8} {\mathrm e}^{5} \ln \left(x \right)}{\left({\mathrm e}^{5}+5\right)^{3} x}+\frac{18 \,{\mathrm e}^{-8} {\mathrm e}^{5}}{\left({\mathrm e}^{5}+5\right)^{3} x}-\frac{150 \,{\mathrm e}^{-4} x}{\left({\mathrm e}^{5}+5\right)^{3}}-\frac{30 \,{\mathrm e}^{-8} {\mathrm e}^{9} x}{\left({\mathrm e}^{5}+5\right)^{3}}+\frac{90 \,{\mathrm e}^{-8} \ln \left(x \right)}{\left({\mathrm e}^{5}+5\right)^{3} x}+\frac{90 \,{\mathrm e}^{-8}}{\left({\mathrm e}^{5}+5\right)^{3} x}$&$540$\\ \hline \end{longtable}"," ",0,"x*ln(exp(3/x/(5*exp(4)+exp(9))))^2+(2*x*ln(5)-2*x^2)*ln(exp(3/x/(5*exp(4)+exp(9))))+x*ln(5)^2-2*x^2*ln(5)+x^3","B"
8298,1,34,17,0.034000," ","int(((64*x^3-512*x+1)*exp(2)^2+(-64*x^3+256*x)*exp(2)+16*x^3)/exp(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{4}-16 \,{\mathrm e}^{-2} x^{4}-256 x^{2}+4 \,{\mathrm e}^{-4} x^{4}+x +128 x^{2} {\mathrm e}^{-2}$&$34$\\ norman&$\left(\left(-256 \,{\mathrm e}^{2}+128\right) x^{2}+{\mathrm e}^{2} x +4 \left(4 \,{\mathrm e}^{4}-4 \,{\mathrm e}^{2}+1\right) {\mathrm e}^{-2} x^{4}\right) {\mathrm e}^{-2}$&$42$\\ default&${\mathrm e}^{-4} \left({\mathrm e}^{4} \left(16 x^{4}-256 x^{2}+x \right)+{\mathrm e}^{2} \left(-16 x^{4}+128 x^{2}\right)+4 x^{4}\right)$&$43$\\ gosper&$x \left(16 x^{3} {\mathrm e}^{4}-16 x^{3} {\mathrm e}^{2}-256 x \,{\mathrm e}^{4}+4 x^{3}+{\mathrm e}^{4}+128 \,{\mathrm e}^{2} x \right) {\mathrm e}^{-4}$&$45$\\ \hline \end{longtable}"," ",0,"16*x^4-16*exp(-2)*x^4-256*x^2+4*exp(-4)*x^4+x+128*x^2*exp(-2)","A"
8299,1,158,28,0.042000," ","int(((-32*x^10+448*x^9-2304*x^8+5120*x^7-4104*x^6+48*x^5-64*x^4)*ln(x)^3+(72*x^5-384*x^4+384*x^3-6*x)*ln(x)^2+(-24*x^5+192*x^4-384*x^3-6*x+72)*ln(x)+72)/((x^15-24*x^14+240*x^13-1280*x^12+3840*x^11-6144*x^10+4096*x^9)*ln(x)^3+(-9*x^10+144*x^9-864*x^8+2304*x^7-2304*x^6)*ln(x)^2+(27*x^5-216*x^4+432*x^3)*ln(x)-27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 x^{4}-64 x^{3}+128 x^{2}+1}{\left(x^{4}-16 x^{3}+96 x^{2}-256 x +256\right) x^{4}}+\frac{24 x^{9} \ln \left(x \right)-384 x^{8} \ln \left(x \right)+2304 x^{7} \ln \left(x \right)-6144 x^{6} \ln \left(x \right)+6150 x^{5} \ln \left(x \right)-48 x^{4} \ln \left(x \right)-72 x^{4}+96 x^{3} \ln \left(x \right)+576 x^{3}-1152 x^{2}-9}{\left(x -4\right) \left(x^{3}-12 x^{2}+48 x -64\right) \left(x^{5} \ln \left(x \right)-8 x^{4} \ln \left(x \right)+16 x^{3} \ln \left(x \right)-3\right)^{2} x^{4}}$&$158$\\ \hline \end{longtable}"," ",0,"(8*x^4-64*x^3+128*x^2+1)/(x^4-16*x^3+96*x^2-256*x+256)/x^4+3*(8*x^9*ln(x)-128*x^8*ln(x)+768*x^7*ln(x)-2048*x^6*ln(x)+2050*x^5*ln(x)-16*x^4*ln(x)-24*x^4+32*x^3*ln(x)+192*x^3-384*x^2-3)/(x-4)/(x^3-12*x^2+48*x-64)/(x^5*ln(x)-8*x^4*ln(x)+16*x^3*ln(x)-3)^2/x^4","B"
8300,1,25,27,0.110000," ","int(((14*x^2-28*x)*ln(2-x)^2+((7*x-14)*exp(2)^2-28*x^3+28*x^2+56*x)*ln(2-x)+(-14*x+14)*exp(2)^2+14*x^4-42*x^2-28*x)/((x-2)*ln(2-x)^2+(-2*x^2+2*x+4)*ln(2-x)+x^3-3*x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$7 x^{2}-\frac{7 \,{\mathrm e}^{4} x}{1+x -\ln \left(2-x \right)}$&$25$\\ norman&$\frac{-7 \,{\mathrm e}^{4} \ln \left(2-x \right)+7 x^{2}+7 x^{3}-7 x^{2} \ln \left(2-x \right)+7 \,{\mathrm e}^{4}}{1+x -\ln \left(2-x \right)}$&$55$\\ \hline \end{longtable}"," ",0,"7*x^2-7*exp(4)*x/(1+x-ln(2-x))","A"
8301,1,15,9,0.113000," ","int((-x^2-1)*exp((-x^2+11*x+1)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{x^{2}-11 x -1}{x}}$&$15$\\ risch&${\mathrm e}^{-\frac{x^{2}-11 x -1}{x}}$&$15$\\ norman&${\mathrm e}^{\frac{-x^{2}+11 x +1}{x}}$&$16$\\ \hline \end{longtable}"," ",0,"exp(-(x^2-11*x-1)/x)","A"
8302,1,32,28,0.354000," ","int(((9*x^3-3*x^2)*exp(1)*ln(3*x^2-x)^2+((12*x^4-4*x^3)*ln(2)+(-18*x^3+6*x^2)*exp(1)*exp(3))*ln(3*x^2-x)+((-12*x^4+4*x^3)*exp(3)-6*x^4+x^3)*ln(2)+(9*x^3-3*x^2)*exp(1)*exp(3)^2)/((3*x-1)*ln(3*x^2-x)^2+(-6*x+2)*exp(3)*ln(3*x^2-x)+(3*x-1)*exp(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{3} {\mathrm e}-\frac{x^{4} \ln \left(2\right)}{{\mathrm e}^{3}-\ln \left(3 x^{2}-x \right)}$&$32$\\ risch&$x^{3} {\mathrm e}-\frac{x^{4} \ln \left(2\right)}{{\mathrm e}^{3}-\ln \left(3 x^{2}-x \right)}$&$32$\\ norman&$\frac{{\mathrm e} \,{\mathrm e}^{3} x^{3}-x^{4} \ln \left(2\right)-x^{3} {\mathrm e} \ln \left(3 x^{2}-x \right)}{{\mathrm e}^{3}-\ln \left(3 x^{2}-x \right)}$&$52$\\ \hline \end{longtable}"," ",0,"x^3*exp(1)-x^4*ln(2)/(exp(3)-ln(3*x^2-x))","A"
8303,1,16,15,0.112000," ","int((((x^3-2*x)*exp(x)+2*x^2)*exp(exp(x))*exp((x^2-2)*exp(exp(x)))+x+1)*exp(exp((x^2-2)*exp(exp(x)))+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{{\mathrm e}^{\left(x^{2}-2\right) {\mathrm e}^{{\mathrm e}^{x}}}+x}$&$16$\\ \hline \end{longtable}"," ",0,"x*exp(exp((x^2-2)*exp(exp(x)))+x)","A"
8304,1,36,49,0.354000," ","int(((24*x-16)*exp(ln(-x^3+x^2)+1+2*ln(2))^2+(-120*x+80)*exp(ln(-x^3+x^2)+1+2*ln(2))+x^2-x)/(x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +128 \,{\mathrm e}^{2} \left(\frac{1}{2} x^{6}-x^{5}+\frac{1}{2} x^{4}\right)-160 \,{\mathrm e} \left(-x^{3}+x^{2}\right)$&$36$\\ risch&$x -160 x^{2} {\mathrm e}+160 x^{3} {\mathrm e}+64 x^{4} {\mathrm e}^{2}-128 \,{\mathrm e}^{2} x^{5}+64 x^{6} {\mathrm e}^{2}$&$38$\\ norman&$x -160 x^{2} {\mathrm e}+160 x^{3} {\mathrm e}+64 x^{4} {\mathrm e}^{2}-128 \,{\mathrm e}^{2} x^{5}+64 x^{6} {\mathrm e}^{2}$&$44$\\ \hline \end{longtable}"," ",0,"x+128*exp(2)*(1/2*x^6-x^5+1/2*x^4)-160*exp(1)*(-x^3+x^2)","A"
8305,1,22,19,0.782000," ","int((27*ln(x)-9*ln(3/5)+9*exp(3)+27)*exp(9*x/(3*ln(x)-ln(3/5)+exp(3)+6))*exp(exp(9*x/(3*ln(x)-ln(3/5)+exp(3)+6)))/(9*ln(x)^2+(-6*ln(3/5)+6*exp(3)+36)*ln(x)+ln(3/5)^2+(-2*exp(3)-12)*ln(3/5)+exp(3)^2+12*exp(3)+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{\frac{9 x}{3 \ln \left(x \right)-\ln \left(3\right)+\ln \left(5\right)+{\mathrm e}^{3}+6}}}$&$22$\\ norman&$\frac{\left({\mathrm e}^{3}-\ln \left(3\right)+\ln \left(5\right)+6\right) {\mathrm e}^{{\mathrm e}^{\frac{9 x}{3 \ln \left(x \right)-\ln \left(\frac{3}{5}\right)+{\mathrm e}^{3}+6}}}+3 \ln \left(x \right) {\mathrm e}^{{\mathrm e}^{\frac{9 x}{3 \ln \left(x \right)-\ln \left(\frac{3}{5}\right)+{\mathrm e}^{3}+6}}}}{3 \ln \left(x \right)-\ln \left(\frac{3}{5}\right)+{\mathrm e}^{3}+6}$&$70$\\ \hline \end{longtable}"," ",0,"exp(exp(9*x/(3*ln(x)-ln(3)+ln(5)+exp(3)+6)))","A"
8306,1,21,20,0.156000," ","int((16*ln(5)+5*ln(3)-4*x^2+8*x-140)*exp(x)/(256*ln(5)^2+(160*ln(3)-128*x^2-4480)*ln(5)+25*ln(3)^2+(-40*x^2-1400)*ln(3)+16*x^4+1120*x^2+19600),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{x}}{-140-4 x^{2}+16 \ln \left(5\right)+5 \ln \left(3\right)}$&$21$\\ norman&$\frac{{\mathrm e}^{x}}{-140-4 x^{2}+16 \ln \left(5\right)+5 \ln \left(3\right)}$&$21$\\ default&$-\frac{70 \,{\mathrm e}^{x} x}{\left(16 \ln \left(5\right)+5 \ln \left(3\right)-140\right) \left(-140-4 x^{2}+16 \ln \left(5\right)+5 \ln \left(3\right)\right)}+\frac{35 \,{\mathrm e}^{\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x +\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{4 \left(16 \ln \left(5\right)+5 \ln \left(3\right)-140\right)}+\frac{35 \,{\mathrm e}^{-\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x -\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{4 \left(16 \ln \left(5\right)+5 \ln \left(3\right)-140\right)}+\frac{5 i \ln \left(3\right) {\mathrm e}^{-\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x -\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{8 \left(16 \ln \left(5\right)+5 \ln \left(3\right)-140\right) \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}-\frac{2 i \ln \left(5\right) {\mathrm e}^{\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x +\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{\left(16 \ln \left(5\right)+5 \ln \left(3\right)-140\right) \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}+\frac{{\mathrm e}^{x}}{-140-4 x^{2}+16 \ln \left(5\right)+5 \ln \left(3\right)}-\frac{5 i \ln \left(3\right) {\mathrm e}^{\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x +\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{8 \left(16 \ln \left(5\right)+5 \ln \left(3\right)-140\right) \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}-\frac{i {\mathrm e}^{-\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x -\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{8 \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}-\frac{{\mathrm e}^{x} x}{2 \left(-140-4 x^{2}+16 \ln \left(5\right)+5 \ln \left(3\right)\right)}+\frac{{\mathrm e}^{\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x +\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{16}+\frac{{\mathrm e}^{-\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x -\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{16}+\frac{5 \ln \left(3\right) {\mathrm e}^{x} x}{2 \left(16 \ln \left(5\right)+5 \ln \left(3\right)-140\right) \left(-140-4 x^{2}+16 \ln \left(5\right)+5 \ln \left(3\right)\right)}-\frac{5 \ln \left(3\right) {\mathrm e}^{\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x +\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{16 \left(16 \ln \left(5\right)+5 \ln \left(3\right)-140\right)}-\frac{5 \ln \left(3\right) {\mathrm e}^{-\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x -\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{16 \left(16 \ln \left(5\right)+5 \ln \left(3\right)-140\right)}+\frac{2 i \ln \left(5\right) {\mathrm e}^{-\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x -\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{\left(16 \ln \left(5\right)+5 \ln \left(3\right)-140\right) \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}-\frac{35 i {\mathrm e}^{-\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x -\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{2 \left(16 \ln \left(5\right)+5 \ln \left(3\right)-140\right) \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}+\frac{8 \ln \left(5\right) {\mathrm e}^{x} x}{\left(16 \ln \left(5\right)+5 \ln \left(3\right)-140\right) \left(-140-4 x^{2}+16 \ln \left(5\right)+5 \ln \left(3\right)\right)}-\frac{\ln \left(5\right) {\mathrm e}^{\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x +\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{16 \ln \left(5\right)+5 \ln \left(3\right)-140}-\frac{\ln \left(5\right) {\mathrm e}^{-\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x -\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{16 \ln \left(5\right)+5 \ln \left(3\right)-140}+\frac{35 i {\mathrm e}^{\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x +\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{2 \left(16 \ln \left(5\right)+5 \ln \left(3\right)-140\right) \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}+\frac{i {\mathrm e}^{\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}} \expIntegralEi \left(1, -x +\frac{i \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}{2}\right)}{8 \sqrt{-16 \ln \left(5\right)-5 \ln \left(3\right)+140}}$&$1038$\\ \hline \end{longtable}"," ",0,"exp(x)/(-140-4*x^2+16*ln(5)+5*ln(3))","A"
8307,1,37,22,0.085000," ","int(((-4*ln(3)+16*x+48)*ln(1/4*ln(3)-x-2)+(-4*x+2)*ln(3)+16*x^2+40*x-16)*exp(1/(ln(1/4*ln(3)-x-2)^4+4*x*ln(1/4*ln(3)-x-2)^3+(6*x^2-2*x-4)*ln(1/4*ln(3)-x-2)^2+(4*x^3-4*x^2-8*x)*ln(1/4*ln(3)-x-2)+x^4-2*x^3-3*x^2+4*x+4))/((ln(3)-4*x-8)*ln(1/4*ln(3)-x-2)^6+(6*x*ln(3)-24*x^2-48*x)*ln(1/4*ln(3)-x-2)^5+((15*x^2-3*x-6)*ln(3)-60*x^3-108*x^2+48*x+48)*ln(1/4*ln(3)-x-2)^4+((20*x^3-12*x^2-24*x)*ln(3)-80*x^4-112*x^3+192*x^2+192*x)*ln(1/4*ln(3)-x-2)^3+((15*x^4-18*x^3-33*x^2+12*x+12)*ln(3)-60*x^5-48*x^4+276*x^3+216*x^2-144*x-96)*ln(1/4*ln(3)-x-2)^2+((6*x^5-12*x^4-18*x^3+24*x^2+24*x)*ln(3)-24*x^6+168*x^4+48*x^3-288*x^2-192*x)*ln(1/4*ln(3)-x-2)+(x^6-3*x^5-3*x^4+11*x^3+6*x^2-12*x-8)*ln(3)-4*x^7+4*x^6+36*x^5-20*x^4-112*x^3+128*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{1}{\left(\ln \left(\frac{\ln \left(3\right)}{4}-x -2\right)^{2}+2 \ln \left(\frac{\ln \left(3\right)}{4}-x -2\right) x +x^{2}-x -2\right)^{2}}}$&$37$\\ \hline \end{longtable}"," ",0,"exp(1/(ln(1/4*ln(3)-x-2)^2+2*ln(1/4*ln(3)-x-2)*x+x^2-x-2)^2)","A"
8308,1,145,27,0.127000," ","int(1/9*((64*x^9+32*x^8)*exp(x)^4+(96*x^10+96*x^9-96*x^7)*exp(x)^3+(48*x^11+80*x^10+296*x^9+224*x^8-48*x^7+48*x^5-48*x^4)*exp(x)^2+(8*x^12+32*x^11+128*x^10+456*x^9-40*x^8-152*x^7+24*x^6-24*x^5-8*x^3+32*x^2)*exp(x)+6*x^12-10*x^11+164*x^10-132*x^9+808*x^8-71*x^7+2*x^5-80*x^4+12*x^3-6)/x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{6}}{9}-\frac{2 x^{5}}{9}+\frac{41 x^{4}}{9}-\frac{44 x^{3}}{9}+\frac{404 x^{2}}{9}-\frac{71 x}{9}+\frac{-2 x^{5}+40 x^{4}-4 x^{3}+1}{9 x^{6}}+\frac{16 x^{2} {\mathrm e}^{4 x}}{9}+\frac{\left(32 x^{3}-32\right) {\mathrm e}^{3 x}}{9}+\frac{8 \left(3 x^{6}-x^{5}+20 x^{4}-6 x^{3}+3\right) {\mathrm e}^{2 x}}{9 x^{2}}+\frac{8 \left(x^{9}-x^{8}+20 x^{7}-3 x^{6}+x^{5}-20 x^{4}+3 x^{3}-1\right) {\mathrm e}^{x}}{9 x^{4}}$&$145$\\ default&$-\frac{71 x}{9}+\frac{32 x^{3} {\mathrm e}^{3 x}}{9}+\frac{8 x^{5} {\mathrm e}^{x}}{9}-\frac{32 \,{\mathrm e}^{3 x}}{9}+\frac{x^{6}}{9}-\frac{2 x^{5}}{9}+\frac{41 x^{4}}{9}-\frac{44 x^{3}}{9}+\frac{404 x^{2}}{9}-\frac{160 \,{\mathrm e}^{x}}{9}-\frac{8 \,{\mathrm e}^{2 x} x^{3}}{9}+\frac{1}{9 x^{6}}+\frac{8 \,{\mathrm e}^{x}}{3 x}+\frac{160 \,{\mathrm e}^{2 x} x^{2}}{9}-\frac{16 x \,{\mathrm e}^{2 x}}{3}-\frac{8 \,{\mathrm e}^{x} x^{4}}{9}-\frac{8 \,{\mathrm e}^{x} x^{2}}{3}+\frac{160 \,{\mathrm e}^{x} x^{3}}{9}+\frac{8 \,{\mathrm e}^{x} x}{9}+\frac{40}{9 x^{2}}-\frac{2}{9 x}-\frac{8 \,{\mathrm e}^{x}}{9 x^{4}}-\frac{4}{9 x^{3}}+\frac{16 x^{2} {\mathrm e}^{4 x}}{9}+\frac{8 \,{\mathrm e}^{2 x}}{3 x^{2}}+\frac{8 \,{\mathrm e}^{2 x} x^{4}}{3}$&$168$\\ \hline \end{longtable}"," ",0,"1/9*x^6-2/9*x^5+41/9*x^4-44/9*x^3+404/9*x^2-71/9*x+1/9*(-2*x^5+40*x^4-4*x^3+1)/x^6+16/9*x^2*exp(4*x)+1/9*(32*x^3-32)*exp(3*x)+8/9*(3*x^6-x^5+20*x^4-6*x^3+3)/x^2*exp(2*x)+8/9*(x^9-x^8+20*x^7-3*x^6+x^5-20*x^4+3*x^3-1)/x^4*exp(x)","B"
8309,1,219,26,0.254000," ","int((((1-ln(x))*exp(5*exp(x)^2)^2+((-2*x-9)*ln(x)+2*x+9)*exp(5*exp(x)^2)+(-x^2-9*x)*ln(x)+x^2+9*x)*ln((exp(5*exp(x)^2)+x+9)/(exp(5*exp(x)^2)+x))-90*x*exp(x)^2*ln(x)*exp(5*exp(x)^2)-9*x*ln(x))/(x^2*exp(5*exp(x)^2)^2+(2*x^3+9*x^2)*exp(5*exp(x)^2)+x^4+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right) \ln \left({\mathrm e}^{5 \,{\mathrm e}^{2 x}}+x +9\right)}{x}-\frac{\ln \left(x \right) \left(i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{5 \,{\mathrm e}^{2 x}}+x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{5 \,{\mathrm e}^{2 x}}+x +9\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{5 \,{\mathrm e}^{2 x}}+x +9\right)}{{\mathrm e}^{5 \,{\mathrm e}^{2 x}}+x}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{5 \,{\mathrm e}^{2 x}}+x}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{5 \,{\mathrm e}^{2 x}}+x +9\right)}{{\mathrm e}^{5 \,{\mathrm e}^{2 x}}+x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{5 \,{\mathrm e}^{2 x}}+x +9\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{5 \,{\mathrm e}^{2 x}}+x +9\right)}{{\mathrm e}^{5 \,{\mathrm e}^{2 x}}+x}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{5 \,{\mathrm e}^{2 x}}+x +9\right)}{{\mathrm e}^{5 \,{\mathrm e}^{2 x}}+x}\right)^{3}+2 \ln \left({\mathrm e}^{5 \,{\mathrm e}^{2 x}}+x \right)\right)}{2 x}$&$219$\\ \hline \end{longtable}"," ",0,"1/x*ln(x)*ln(exp(5*exp(2*x))+x+9)-1/2*ln(x)*(I*Pi*csgn(I/(exp(5*exp(2*x))+x))*csgn(I*(exp(5*exp(2*x))+x+9))*csgn(I/(exp(5*exp(2*x))+x)*(exp(5*exp(2*x))+x+9))-I*Pi*csgn(I/(exp(5*exp(2*x))+x))*csgn(I/(exp(5*exp(2*x))+x)*(exp(5*exp(2*x))+x+9))^2-I*Pi*csgn(I*(exp(5*exp(2*x))+x+9))*csgn(I/(exp(5*exp(2*x))+x)*(exp(5*exp(2*x))+x+9))^2+I*Pi*csgn(I/(exp(5*exp(2*x))+x)*(exp(5*exp(2*x))+x+9))^3+2*ln(exp(5*exp(2*x))+x))/x","C"
8310,1,19,25,0.051000," ","int(((12*x^3+16*x^2+6*x+4)*exp(x^2)+6*x+4)/((3*x^2+4*x)*exp(x^2)+3*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left({\mathrm e}^{x^{2}}+1\right)+\ln \left(x \right)+\ln \left(4+3 x \right)$&$19$\\ risch&$\ln \left(3 x^{2}+4 x \right)+2 \ln \left({\mathrm e}^{x^{2}}+1\right)$&$21$\\ \hline \end{longtable}"," ",0,"2*ln(exp(x^2)+1)+ln(x)+ln(4+3*x)","A"
8311,1,18,17,0.042000," ","int(1/5*(x^2*exp(1/5*x)*exp(exp(1/5*x))-5*ln(5)+5*x^2-5*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{{\mathrm e}^{\frac{x}{5}}}-\ln \left(x \right)+x +\frac{\ln \left(5\right)}{x}$&$18$\\ risch&${\mathrm e}^{{\mathrm e}^{\frac{x}{5}}}-\ln \left(x \right)+x +\frac{\ln \left(5\right)}{x}$&$18$\\ norman&$\frac{x^{2}+x \,{\mathrm e}^{{\mathrm e}^{\frac{x}{5}}}+\ln \left(5\right)}{x}-\ln \left(x \right)$&$23$\\ \hline \end{longtable}"," ",0,"exp(exp(1/5*x))-ln(x)+x+ln(5)/x","A"
8312,1,18,22,0.042000," ","int(((10*x^3+70*x^2-200*x)*exp(x)-5*x^3-100*x^2-500*x)/(128*exp(x)^2+(64*x+640)*exp(x)+8*x^2+160*x+800),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \left(x +10\right) x^{2}}{16 \left(4 \,{\mathrm e}^{x}+10+x \right)}$&$18$\\ norman&$\frac{-\frac{25}{8} x^{2}-\frac{5}{16} x^{3}}{4 \,{\mathrm e}^{x}+10+x}$&$22$\\ \hline \end{longtable}"," ",0,"-5/16*(x+10)*x^2/(4*exp(x)+10+x)","A"
8313,1,24,21,0.371000," ","int(((-4*exp(1/4)^4+240*exp(1/4)^2-3600)*exp(exp(x))^2-32*exp(x)*x)*exp(4/(exp(1/4)^4-60*exp(1/4)^2+900)/exp(exp(x))^2)/(x^2*exp(1/4)^4-60*x^2*exp(1/4)^2+900*x^2)/exp(exp(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{\frac{4 \,{\mathrm e}^{-2 \,{\mathrm e}^{x}}}{{\mathrm e}-60 \,{\mathrm e}^{\frac{1}{2}}+900}}}{x}$&$24$\\ \hline \end{longtable}"," ",0,"4/x*exp(4/(exp(1)-60*exp(1/2)+900)*exp(-2*exp(x)))","A"
8314,0,0,28,0.072000," ","int(((8*x^2-16*x)*ln(x)*ln((x^3-2*x^2)/exp(x)^2)*ln(ln((x^3-2*x^2)/exp(x)^2)/x/ln(x))+((12*x^3-28*x^2+8*x)*ln(x)-4*x^2+8*x)*ln((x^3-2*x^2)/exp(x)^2)+(-8*x^3+28*x^2-16*x)*ln(x))/(x-2)/ln(x)/ln((x^3-2*x^2)/exp(x)^2),x)","\[\int \frac{\left(8 x^{2}-16 x \right) \ln \left(x \right) \ln \left(\left(x^{3}-2 x^{2}\right) {\mathrm e}^{-2 x}\right) \ln \left(\frac{\ln \left(\left(x^{3}-2 x^{2}\right) {\mathrm e}^{-2 x}\right)}{x \ln \left(x \right)}\right)+\left(\left(12 x^{3}-28 x^{2}+8 x \right) \ln \left(x \right)-4 x^{2}+8 x \right) \ln \left(\left(x^{3}-2 x^{2}\right) {\mathrm e}^{-2 x}\right)+\left(-8 x^{3}+28 x^{2}-16 x \right) \ln \left(x \right)}{\left(x -2\right) \ln \left(x \right) \ln \left(\left(x^{3}-2 x^{2}\right) {\mathrm e}^{-2 x}\right)}\, dx\]"," ",0,"int(((8*x^2-16*x)*ln(x)*ln((x^3-2*x^2)/exp(x)^2)*ln(ln((x^3-2*x^2)/exp(x)^2)/x/ln(x))+((12*x^3-28*x^2+8*x)*ln(x)-4*x^2+8*x)*ln((x^3-2*x^2)/exp(x)^2)+(-8*x^3+28*x^2-16*x)*ln(x))/(x-2)/ln(x)/ln((x^3-2*x^2)/exp(x)^2),x)","F"
8315,1,44,27,0.192000," ","int(((-4*x^2-4*x)*exp(5)^2*exp(2*x+3)+12*x*exp(5)^2)*exp(-x^2*exp(2*x+3)+ln(5)+3*x^2)^2+((-8*x^2-8*x)*exp(5)^2*exp(2*x+3)+24*x*exp(5)^2)*exp(-x^2*exp(2*x+3)+ln(5)+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$20 \,{\mathrm e}^{-x^{2} {\mathrm e}^{2 x +3}+3 x^{2}+10}+25 \,{\mathrm e}^{-2 x^{2} {\mathrm e}^{2 x +3}+6 x^{2}+10}$&$44$\\ default&$4 \,{\mathrm e}^{10} {\mathrm e}^{-x^{2} {\mathrm e}^{2 x +3}+\ln \left(5\right)+3 x^{2}}+25 \,{\mathrm e}^{10} {\mathrm e}^{-2 x^{2} {\mathrm e}^{2 x +3}+6 x^{2}}$&$55$\\ norman&$4 \,{\mathrm e}^{10} {\mathrm e}^{-x^{2} {\mathrm e}^{2 x +3}+\ln \left(5\right)+3 x^{2}}+25 \,{\mathrm e}^{10} {\mathrm e}^{-2 x^{2} {\mathrm e}^{2 x +3}+6 x^{2}}$&$55$\\ \hline \end{longtable}"," ",0,"20*exp(-x^2*exp(2*x+3)+3*x^2+10)+25*exp(-2*x^2*exp(2*x+3)+6*x^2+10)","A"
8316,1,20,19,0.040000," ","int((((4*x^3+2*x-6)*exp(x^2)-6*x^3-3*x+9)*exp((x^3+3)/x)*ln(exp(x^2)-3/2)+4*x^3*exp(x^2)*exp((x^3+3)/x))/(2*exp(x^2)*x-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{3}+3}{x}} x \ln \left({\mathrm e}^{x^{2}}-\frac{3}{2}\right)$&$20$\\ \hline \end{longtable}"," ",0,"exp((x^3+3)/x)*x*ln(exp(x^2)-3/2)","A"
8317,1,332,27,0.521000," ","int((((-45*x^2+135*x)*ln(x)^2+5*x^3-15*x^2)*ln((3-x)/(9*x*ln(x)^2-x^2))+(-45*x^3+180*x^2-135*x+135)*ln(x)^2+(-90*x+270)*ln(x)+5*x^4-20*x^3+20*x^2-30*x)/(((9*x^2-27*x)*ln(x)^2-x^3+3*x^2)*ln((3-x)/(9*x*ln(x)^2-x^2))+(9*x^3-27*x^2)*ln(x)^2-x^4+3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x +5 \ln \left(\ln \left(x -9 \ln \left(x \right)^{2}\right)+\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{9 \ln \left(x \right)^{2}-x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{x \left(9 \ln \left(x \right)^{2}-x \right)}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{x \left(9 \ln \left(x \right)^{2}-x \right)}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{9 \ln \left(x \right)^{2}-x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{9 \ln \left(x \right)^{2}-x}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{9 \ln \left(x \right)^{2}-x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{9 \ln \left(x \right)^{2}-x}\right) \mathrm{csgn}\left(i \left(x -3\right)\right)-\pi  \mathrm{csgn}\left(\frac{i \left(x -3\right)}{9 \ln \left(x \right)^{2}-x}\right)^{3}-\pi  \mathrm{csgn}\left(\frac{i \left(x -3\right)}{9 \ln \left(x \right)^{2}-x}\right)^{2} \mathrm{csgn}\left(i \left(x -3\right)\right)+\pi  \,\mathrm{csgn}\left(\frac{i \left(x -3\right)}{9 \ln \left(x \right)^{2}-x}\right) \mathrm{csgn}\left(\frac{i \left(x -3\right)}{x \left(9 \ln \left(x \right)^{2}-x \right)}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(x -3\right)}{x \left(9 \ln \left(x \right)^{2}-x \right)}\right)^{3}+2 i x -2 i \ln \left(x \right)+2 i \ln \left(x -3\right)\right)}{2}\right)$&$332$\\ \hline \end{longtable}"," ",0,"-5*x+5*ln(ln(x-9*ln(x)^2)+1/2*I*(Pi*csgn(I/x)*csgn(I*(x-3)/(9*ln(x)^2-x))*csgn(I*(x-3)/x/(9*ln(x)^2-x))-Pi*csgn(I/x)*csgn(I*(x-3)/x/(9*ln(x)^2-x))^2+Pi*csgn(I/(9*ln(x)^2-x))*csgn(I*(x-3)/(9*ln(x)^2-x))^2+Pi*csgn(I/(9*ln(x)^2-x))*csgn(I*(x-3)/(9*ln(x)^2-x))*csgn(I*(x-3))-Pi*csgn(I*(x-3)/(9*ln(x)^2-x))^3-Pi*csgn(I*(x-3)/(9*ln(x)^2-x))^2*csgn(I*(x-3))+Pi*csgn(I*(x-3)/(9*ln(x)^2-x))*csgn(I*(x-3)/x/(9*ln(x)^2-x))^2-Pi*csgn(I*(x-3)/x/(9*ln(x)^2-x))^3+2*I*x-2*I*ln(x)+2*I*ln(x-3)))","C"
8318,1,32,23,0.059000," ","int(((x^5-15*x^4+74*x^3-110*x^2-75*x+125)*ln(-x^2+1)-2*x^6+33*x^5-193*x^4+454*x^3-210*x^2-335*x+125)/(x^5-15*x^4+74*x^3-110*x^2-75*x+125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+x -\frac{25}{\left(x -5\right)^{2}}-\frac{10}{x -5}+x \ln \left(-x^{2}+1\right)$&$32$\\ risch&$x \ln \left(-x^{2}+1\right)-\frac{x^{4}-11 x^{3}+35 x^{2}-15 x -25}{x^{2}-10 x +25}$&$42$\\ norman&$\frac{-\frac{67 x^{2}}{2}+\ln \left(-x^{2}+1\right) x^{3}-10 \ln \left(-x^{2}+1\right) x^{2}+25 x \ln \left(-x^{2}+1\right)+11 x^{3}-x^{4}+\frac{125}{2}}{\left(x -5\right)^{2}}$&$60$\\ \hline \end{longtable}"," ",0,"-x^2+x-25/(x-5)^2-10/(x-5)+x*ln(-x^2+1)","A"
8319,1,15,22,0.036000," ","int(1/4*(2*(50*x-25)*ln(2)*exp(x)^2+20)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-5+\frac{25 \ln \left(2\right) {\mathrm e}^{2 x}}{2}}{x}$&$15$\\ default&$-\frac{5}{x}+\frac{25 \ln \left(2\right) {\mathrm e}^{2 x}}{2 x}$&$18$\\ risch&$-\frac{5}{x}+\frac{25 \ln \left(2\right) {\mathrm e}^{2 x}}{2 x}$&$18$\\ \hline \end{longtable}"," ",0,"(-5+25/2*ln(2)*exp(x)^2)/x","A"
8320,1,23,26,0.061000," ","int(((-ln(x)*ln(ln(x))^2+4*x*ln(x)*ln(ln(x))-4*x)*exp(2*x/ln(ln(x)))^2+(x^2-4)*ln(x)*ln(ln(x))^2)/(ln(x)*ln(ln(x))^2*exp(2*x/ln(ln(x)))^4+(2*x^2-4*x+8)*ln(x)*ln(ln(x))^2*exp(2*x/ln(ln(x)))^2+(x^4-4*x^3+12*x^2-16*x+16)*ln(x)*ln(ln(x))^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{{\mathrm e}^{\frac{4 x}{\ln \left(\ln \left(x \right)\right)}}+x^{2}-2 x +4}$&$23$\\ \hline \end{longtable}"," ",0,"-x/(exp(4*x/ln(ln(x)))+x^2-2*x+4)","A"
8321,1,23,22,0.039000," ","int((((-30*x+120)*ln(-x+4)-30*x^3+126*x^2-168*x+576)*ln(ln(-x+4)+x^2-1/5*x+24/5)-30*x^3+123*x^2-27*x)/((5*x^4-20*x^3)*ln(-x+4)+5*x^6-21*x^5+28*x^4-96*x^3)/ln(ln(-x+4)+x^2-1/5*x+24/5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{\ln \left(\ln \left(-x +4\right)+x^{2}-\frac{x}{5}+\frac{24}{5}\right) x^{2}}$&$23$\\ \hline \end{longtable}"," ",0,"3/ln(ln(-x+4)+x^2-1/5*x+24/5)/x^2","A"
8322,1,140,27,0.147000," ","int(((-160*x^4-48*x+4)*exp(5*x^4+6*x)^8+(-4480*x^4-1344*x+128)*exp(5*x^4+6*x)^7+(-53760*x^4-16128*x+1792)*exp(5*x^4+6*x)^6+(-358400*x^4-107520*x+14336)*exp(5*x^4+6*x)^5+(-1433600*x^4-430080*x+71680)*exp(5*x^4+6*x)^4+(-3440640*x^4-1032192*x+229376)*exp(5*x^4+6*x)^3+(-4587520*x^4-1376256*x+458752)*exp(5*x^4+6*x)^2+(-2621440*x^4-786432*x+524288)*exp(5*x^4+6*x)-2*x^6+x^5+262144)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+x -\frac{65536}{x^{4}}-\frac{{\mathrm e}^{8 x \left(5 x^{3}+6\right)}}{x^{4}}-\frac{32 \,{\mathrm e}^{7 x \left(5 x^{3}+6\right)}}{x^{4}}-\frac{448 \,{\mathrm e}^{6 x \left(5 x^{3}+6\right)}}{x^{4}}-\frac{3584 \,{\mathrm e}^{5 x \left(5 x^{3}+6\right)}}{x^{4}}-\frac{17920 \,{\mathrm e}^{4 x \left(5 x^{3}+6\right)}}{x^{4}}-\frac{57344 \,{\mathrm e}^{3 x \left(5 x^{3}+6\right)}}{x^{4}}-\frac{114688 \,{\mathrm e}^{2 x \left(5 x^{3}+6\right)}}{x^{4}}-\frac{131072 \,{\mathrm e}^{x \left(5 x^{3}+6\right)}}{x^{4}}$&$140$\\ \hline \end{longtable}"," ",0,"-x^2+x-65536/x^4-1/x^4*exp(8*x*(5*x^3+6))-32/x^4*exp(7*x*(5*x^3+6))-448/x^4*exp(6*x*(5*x^3+6))-3584/x^4*exp(5*x*(5*x^3+6))-17920/x^4*exp(4*x*(5*x^3+6))-57344/x^4*exp(3*x*(5*x^3+6))-114688/x^4*exp(2*x*(5*x^3+6))-131072*exp(x*(5*x^3+6))/x^4","B"
8323,1,8,21,0.358000," ","int(16/(1024*x^2+64*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{64 \left(x +\frac{1}{32}\right)}$&$8$\\ gosper&$-\frac{1}{2 \left(32 x +1\right)}$&$10$\\ default&$-\frac{1}{2 \left(32 x +1\right)}$&$10$\\ norman&$\frac{16 x}{32 x +1}$&$11$\\ meijerg&$\frac{16 x}{32 x +1}$&$11$\\ \hline \end{longtable}"," ",0,"-1/64/(x+1/32)","A"
8324,1,89,23,0.207000," ","int(1/3*((x^2+2*x)*exp(x)*ln(x)^8+((40*x^2+16*x)*exp(x)*exp(2*x)^2+8*exp(x)*x)*ln(x)^7+((252*x^2+56*x)*exp(x)*exp(2*x)^4+56*x*exp(x)*exp(2*x)^2)*ln(x)^6+((728*x^2+112*x)*exp(x)*exp(2*x)^6+168*x*exp(x)*exp(2*x)^4)*ln(x)^5+((1190*x^2+140*x)*exp(x)*exp(2*x)^8+280*x*exp(x)*exp(2*x)^6)*ln(x)^4+((1176*x^2+112*x)*exp(x)*exp(2*x)^10+280*x*exp(x)*exp(2*x)^8)*ln(x)^3+((700*x^2+56*x)*exp(x)*exp(2*x)^12+168*x*exp(x)*exp(2*x)^10)*ln(x)^2+((232*x^2+16*x)*exp(x)*exp(2*x)^14+56*x*exp(x)*exp(2*x)^12)*ln(x)+(33*x^2+2*x)*exp(x)*exp(2*x)^16+8*x*exp(x)*exp(2*x)^14)*exp(1/3*(x^2*exp(x)*ln(x)^8+8*x^2*exp(x)*exp(2*x)^2*ln(x)^7+28*x^2*exp(x)*exp(2*x)^4*ln(x)^6+56*x^2*exp(x)*exp(2*x)^6*ln(x)^5+70*x^2*exp(x)*exp(2*x)^8*ln(x)^4+56*x^2*exp(x)*exp(2*x)^10*ln(x)^3+28*x^2*exp(x)*exp(2*x)^12*ln(x)^2+8*x^2*exp(x)*exp(2*x)^14*ln(x)+x^2*exp(x)*exp(2*x)^16)/exp(4))/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{2} \left({\mathrm e}^{x} \ln \left(x \right)^{8}+8 \ln \left(x \right)^{7} {\mathrm e}^{5 x}+28 \ln \left(x \right)^{6} {\mathrm e}^{9 x}+56 \ln \left(x \right)^{5} {\mathrm e}^{13 x}+70 \ln \left(x \right)^{4} {\mathrm e}^{17 x}+56 \ln \left(x \right)^{3} {\mathrm e}^{21 x}+28 \ln \left(x \right)^{2} {\mathrm e}^{25 x}+8 \ln \left(x \right) {\mathrm e}^{29 x}+{\mathrm e}^{33 x}\right) {\mathrm e}^{-4}}{3}}$&$89$\\ \hline \end{longtable}"," ",0,"exp(1/3*x^2*(exp(x)*ln(x)^8+8*ln(x)^7*exp(5*x)+28*ln(x)^6*exp(9*x)+56*ln(x)^5*exp(13*x)+70*ln(x)^4*exp(17*x)+56*ln(x)^3*exp(21*x)+28*ln(x)^2*exp(25*x)+8*ln(x)*exp(29*x)+exp(33*x))*exp(-4))","B"
8325,1,27,22,0.714000," ","int((((8*x^2+80*x+200)*ln(2*x)^2+5*x*ln(2*x)-x^2-5*x)*exp(x/(8*x+40)/ln(2*x))+(-16*x^3-136*x^2-160*x+600)*ln(2*x)^2)/(8*x^2+80*x+200)/ln(2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+{\mathrm e}^{\frac{x}{8 \left(5+x \right) \ln \left(2 x \right)}} x +3 x$&$27$\\ default&$3 x +\frac{40 \ln \left(2\right) {\mathrm e}^{\frac{x}{8 \left(5+x \right) \left(\ln \left(2\right)+\ln \left(x \right)\right)}} x +40 \ln \left(x \right) {\mathrm e}^{\frac{x}{8 \left(5+x \right) \left(\ln \left(2\right)+\ln \left(x \right)\right)}} x +8 x^{2} \ln \left(2\right) {\mathrm e}^{\frac{x}{8 \left(5+x \right) \left(\ln \left(2\right)+\ln \left(x \right)\right)}}+8 \ln \left(x \right) x^{2} {\mathrm e}^{\frac{x}{8 \left(5+x \right) \left(\ln \left(2\right)+\ln \left(x \right)\right)}}}{8 \left(5+x \right) \left(\ln \left(2\right)+\ln \left(x \right)\right)}-x^{2}$&$113$\\ \hline \end{longtable}"," ",0,"-x^2+exp(1/8*x/(5+x)/ln(2*x))*x+3*x","A"
8326,1,16,26,0.366000," ","int(((-2*exp(2)+2*x)*exp(4)+2)/(exp(2)-x)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x -2 \,{\mathrm e}^{-4} \ln \left(x -{\mathrm e}^{2}\right)$&$16$\\ norman&$-2 x -2 \,{\mathrm e}^{-4} \ln \left({\mathrm e}^{2}-x \right)$&$18$\\ default&${\mathrm e}^{-4} \left(-2 x \,{\mathrm e}^{4}-2 \ln \left(x -{\mathrm e}^{2}\right)\right)$&$21$\\ meijerg&$-2 \,{\mathrm e}^{-4} \ln \left(1-x \,{\mathrm e}^{-2}\right)+2 \,{\mathrm e}^{2} \ln \left(1-x \,{\mathrm e}^{-2}\right)+2 \,{\mathrm e}^{2} \left(-x \,{\mathrm e}^{-2}-\ln \left(1-x \,{\mathrm e}^{-2}\right)\right)$&$46$\\ \hline \end{longtable}"," ",0,"-2*x-2*exp(-4)*ln(x-exp(2))","A"
8327,1,17,18,0.374000," ","int((90*x^2*exp(3/(5+x))+60*x^3+600*x^2+1500*x)/(x^2+10*x+25)/exp(exp(3/(5+x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$30 x^{2} {\mathrm e}^{-{\mathrm e}^{\frac{3}{5+x}}}$&$17$\\ norman&$\frac{\left(30 x^{3}+150 x^{2}\right) {\mathrm e}^{-{\mathrm e}^{\frac{3}{5+x}}}}{5+x}$&$29$\\ \hline \end{longtable}"," ",0,"30*x^2*exp(-exp(3/(5+x)))","A"
8328,1,30,26,0.049000," ","int(((2*x*ln(x)^4+(3*x^2-2*x)*ln(x)^3+((-x^2+2*x)*exp(x)-3*x^2)*ln(x)^2+3*x^2*exp(x)*ln(x)-3*exp(x)*x^2)*exp((15*ln(x)+3*x)/ln(x))+2*ln(x)^6+4*exp(x)*ln(x)^4+2*exp(x)^2*ln(x)^2)/(2*ln(x)^6+4*exp(x)*ln(x)^4+2*exp(x)^2*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x^{2} {\mathrm e}^{\frac{15 \ln \left(x \right)+3 x}{\ln \left(x \right)}}}{2 \ln \left(x \right)^{2}+2 \,{\mathrm e}^{x}}$&$30$\\ \hline \end{longtable}"," ",0,"x+1/2*x^2/(ln(x)^2+exp(x))*exp(3*(5*ln(x)+x)/ln(x))","A"
8329,1,32,25,0.044000," ","int((((98*x+49)*ln(x)^2+(28*x^2+12*x-1)*ln(x)+2*x^3+x^2)*ln(-49*ln(x)^2+(-14*x+1)*ln(x)-x^2)^2+(84*x+588)*ln(x)+12*x^2+84*x-6)/(49*x*ln(x)^2+(14*x^2-x)*ln(x)+x^3)/ln(-49*ln(x)^2+(-14*x+1)*ln(x)-x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\ln \left(x \right)-\frac{6}{\ln \left(-49 \ln \left(x \right)^{2}+\left(-14 x +1\right) \ln \left(x \right)-x^{2}\right)}$&$32$\\ \hline \end{longtable}"," ",0,"2*x+ln(x)-6/ln(-49*ln(x)^2+(-14*x+1)*ln(x)-x^2)","A"
8330,1,35,27,0.044000," ","int((x^6-1033*x^5+5150*x^4-9906*x^3+11437*x^2-8633*x+2552)/(x^6-1030*x^5+5135*x^4-9876*x^3+9103*x^2-4010*x+677),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -3 \ln \left(x^{5}-1029 x^{4}+4106 x^{3}-5770 x^{2}+3333 x -677\right)+12 \ln \left(x -1\right)$&$35$\\ norman&$x -3 \ln \left(x^{5}-1029 x^{4}+4106 x^{3}-5770 x^{2}+3333 x -677\right)+12 \ln \left(x -1\right)$&$35$\\ risch&$x -3 \ln \left(x^{5}-1029 x^{4}+4106 x^{3}-5770 x^{2}+3333 x -677\right)+12 \ln \left(x -1\right)$&$35$\\ \hline \end{longtable}"," ",0,"x-3*ln(x^5-1029*x^4+4106*x^3-5770*x^2+3333*x-677)+12*ln(x-1)","A"
8331,1,34,21,0.153000," ","int((((4*x*exp(x)^4+24*x*exp(x)^3+48*x*exp(x)^2+32*exp(x)*x+x)*exp(exp(x)^4+8*exp(x)^3+24*exp(x)^2+32*exp(x)+x+16)+1)*exp(exp(exp(x)^4+8*exp(x)^3+24*exp(x)^2+32*exp(x)+x+16))+4*exp(4))/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x +x \,{\mathrm e}^{-4+{\mathrm e}^{{\mathrm e}^{4 x}+8 \,{\mathrm e}^{3 x}+24 \,{\mathrm e}^{2 x}+32 \,{\mathrm e}^{x}+x +16}}$&$34$\\ \hline \end{longtable}"," ",0,"4*x+x*exp(-4+exp(exp(4*x)+8*exp(3*x)+24*exp(2*x)+32*exp(x)+x+16))","A"
8332,1,15,21,0.052000," ","int(((10*x-10)*ln(x-1)-50*x+60)/(x^3-5*x^2+8*x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-10 \ln \left(x -1\right)+40}{x -2}$&$15$\\ risch&$-\frac{10 \ln \left(x -1\right)}{x -2}+\frac{40}{x -2}$&$20$\\ derivativedivides&$-\frac{10 \ln \left(x -1\right) \left(x -1\right)}{x -2}+\frac{40}{x -2}+10 \ln \left(x -1\right)$&$29$\\ default&$-\frac{10 \ln \left(x -1\right) \left(x -1\right)}{x -2}+\frac{40}{x -2}+10 \ln \left(x -1\right)$&$29$\\ \hline \end{longtable}"," ",0,"(-10*ln(x-1)+40)/(x-2)","A"
8333,0,0,29,0.125000," ","int((-20*ln(x)+2*(4*x^3-40*x^2+100*x)*ln(2)+4*x^3-40*x^2+104*x-20)*ln((-2*x*ln(x)+2*(-x^3+5*x^2)*ln(2)-x^3+5*x^2-x+5)/(5*x-25))/((2*x^2-10*x)*ln(x)+2*(x^4-10*x^3+25*x^2)*ln(2)+x^4-10*x^3+26*x^2-10*x+25),x)","\[\int \frac{\left(-20 \ln \left(x \right)+2 \left(4 x^{3}-40 x^{2}+100 x \right) \ln \left(2\right)+4 x^{3}-40 x^{2}+104 x -20\right) \ln \left(\frac{-2 x \ln \left(x \right)+2 \left(-x^{3}+5 x^{2}\right) \ln \left(2\right)-x^{3}+5 x^{2}-x +5}{5 x -25}\right)}{\left(2 x^{2}-10 x \right) \ln \left(x \right)+2 \left(x^{4}-10 x^{3}+25 x^{2}\right) \ln \left(2\right)+x^{4}-10 x^{3}+26 x^{2}-10 x +25}\, dx\]"," ",0,"int((-20*ln(x)+2*(4*x^3-40*x^2+100*x)*ln(2)+4*x^3-40*x^2+104*x-20)*ln((-2*x*ln(x)+2*(-x^3+5*x^2)*ln(2)-x^3+5*x^2-x+5)/(5*x-25))/((2*x^2-10*x)*ln(x)+2*(x^4-10*x^3+25*x^2)*ln(2)+x^4-10*x^3+26*x^2-10*x+25),x)","F"
8334,1,25,22,0.063000," ","int(((-2*x*ln(x)^2+(4*x^2-2*x-2)*ln(x)+2)*exp(x*ln(x))+22*exp(x^2)*ln(x)-22*exp(x^2))/exp(x^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{22 x}{\ln \left(x \right)}-\frac{2 x \,{\mathrm e}^{-x^{2}} x^{x}}{\ln \left(x \right)}$&$25$\\ \hline \end{longtable}"," ",0,"22*x/ln(x)-2*x*exp(-x^2)/ln(x)*x^x","A"
8335,1,37,30,0.694000," ","int((6*x^6-60*x^5+74*x^4+240*x^3-368*x^2-232*x+392)*ln((4*x^5-60*x^4+188*x^3+120*x^2-392*x-8)/(x^2-2))/(x^7-15*x^6+45*x^5+60*x^4-192*x^3-62*x^2+196*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{4 x^{5}-60 x^{4}+188 x^{3}+120 x^{2}-392 x -8}{x^{2}-2}\right)^{2}$&$37$\\ default&$\text{Expression too large to display}$&$1544$\\ risch&$\text{Expression too large to display}$&$30279$\\ \hline \end{longtable}"," ",0,"ln((4*x^5-60*x^4+188*x^3+120*x^2-392*x-8)/(x^2-2))^2","A"
8336,1,27,27,0.067000," ","int((((-2*exp(2)+2*x)*ln(5)^2+(2*x+3)*exp(2)-2*x^2-3*x)*ln(x-exp(2))+(-ln(5)^2+2+x)*ln(-ln(5)^2+2+x)+(-10*exp(2)+12*x)*ln(5)^2+(10*x+15)*exp(2)-12*x^2-19*x)/((((exp(2)-x)*ln(5)^2+(-x-2)*exp(2)+x^2+2*x)*ln(-ln(5)^2+2+x)+(-2*exp(2)*x+2*x^2)*ln(5)^2+(2*x^2+4*x)*exp(2)-2*x^3-4*x^2)*ln(x-exp(2))+((5*exp(2)-5*x)*ln(5)^2+(-5*x-10)*exp(2)+5*x^2+10*x)*ln(-ln(5)^2+2+x)+(-10*exp(2)*x+10*x^2)*ln(5)^2+(10*x^2+20*x)*exp(2)-10*x^3-20*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x -{\mathrm e}^{2}\right)+5\right)+\ln \left(-2 x +\ln \left(-\ln \left(5\right)^{2}+2+x \right)\right)$&$27$\\ \hline \end{longtable}"," ",0,"ln(ln(x-exp(2))+5)+ln(-2*x+ln(-ln(5)^2+2+x))","A"
8337,1,38,17,0.130000," ","int(((2*x^3+2*x^2-7*x)*ln(1/20*(2*x^2+2*x-7)/x^2)+(-2*x+14)*exp(3)-2*x^2+14*x)/(2*x^3+2*x^2-7*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x \ln \left(-\frac{7}{x^{2}}+\frac{2}{x}+2\right)-x \ln \left(20\right)+\ln \left(\frac{7}{x^{2}}-\frac{2}{x}-2\right) {\mathrm e}^{3}$&$38$\\ default&$x \ln \left(-\frac{7}{x^{2}}+\frac{2}{x}+2\right)-x \ln \left(20\right)+\ln \left(\frac{7}{x^{2}}-\frac{2}{x}-2\right) {\mathrm e}^{3}$&$38$\\ norman&${\mathrm e}^{3} \ln \left(\frac{2 x^{2}+2 x -7}{20 x^{2}}\right)+\ln \left(\frac{2 x^{2}+2 x -7}{20 x^{2}}\right) x$&$39$\\ risch&$\ln \left(\frac{2 x^{2}+2 x -7}{20 x^{2}}\right) x -2 \,{\mathrm e}^{3} \ln \left(-x \right)+{\mathrm e}^{3} \ln \left(2 x^{2}+2 x -7\right)$&$42$\\ \hline \end{longtable}"," ",0,"x*ln(-7/x^2+2/x+2)-x*ln(20)+ln(7/x^2-2/x-2)*exp(3)","B"
8338,1,9,8,0.017000," ","int(1/(exp(3)-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{{\mathrm e}^{3}-2}$&$9$\\ norman&$\frac{x}{{\mathrm e}^{3}-2}$&$9$\\ risch&$\frac{x}{{\mathrm e}^{3}-2}$&$9$\\ \hline \end{longtable}"," ",0,"x/(exp(3)-2)","A"
8339,1,15,13,0.011000," ","int(5*ln(x)-2*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}-6 x +5 x \ln \left(x \right)$&$15$\\ norman&$-x^{2}-6 x +5 x \ln \left(x \right)$&$15$\\ risch&$-x^{2}-6 x +5 x \ln \left(x \right)$&$15$\\ \hline \end{longtable}"," ",0,"-x^2-6*x+5*x*ln(x)","A"
8340,1,28,23,0.053000," ","int((((-62500*x^4-375000*x^3-562500*x^2)*exp(x^2)-93750*x-281250)*exp(exp(x^2))-21250*x^3-191250*x^2-757500*x-1125000)/(140625*x^3*exp(exp(x^2))^3+(286875*x^4+1687500*x^3)*exp(exp(x^2))^2+(195075*x^5+2295000*x^4+6750000*x^3)*exp(exp(x^2))+44217*x^6+780300*x^5+4590000*x^4+9000000*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\frac{625}{9} x^{2}+\frac{1250}{3} x +625}{x^{2} \left(25 \,{\mathrm e}^{{\mathrm e}^{x^{2}}}+17 x +100\right)^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"625/9*(x^2+6*x+9)/x^2/(25*exp(exp(x^2))+17*x+100)^2","A"
8341,1,19,21,0.046000," ","int((20*x+5)*exp(x-2)^4*ln(x)+5*exp(x-2)^4+2*x+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x +5 x \,{\mathrm e}^{4 x -8} \ln \left(x \right)+x^{2}$&$19$\\ risch&$4 x +5 x \,{\mathrm e}^{4 x -8} \ln \left(x \right)+x^{2}$&$19$\\ \hline \end{longtable}"," ",0,"4*x+5*x*exp(4*x-8)*ln(x)+x^2","A"
8342,1,20,19,0.052000," ","int((((2*x^3+2*x^2)*exp(x)^2+x)*ln(x)+(2*x^5+4*x^4+68*x^3+66*x^2)*exp(x)^2+x^3+3*x^2+34*x+1)/(x*ln(x)+x^3+x^2+33*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x +x^{2}+33+\ln \left(x \right)\right)+{\mathrm e}^{2 x} x^{2}+x$&$20$\\ \hline \end{longtable}"," ",0,"ln(x+x^2+33+ln(x))+exp(2*x)*x^2+x","A"
8343,1,16,20,0.046000," ","int(((-2*x^3-x^2)*exp(2*x)+2*ln(2))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\frac{2 \ln \left(2\right)}{x}-x \,{\mathrm e}^{2 x}$&$16$\\ default&$-\frac{2 \ln \left(2\right)}{x}-x \,{\mathrm e}^{2 x}$&$16$\\ risch&$-\frac{2 \ln \left(2\right)}{x}-x \,{\mathrm e}^{2 x}$&$16$\\ norman&$\frac{-{\mathrm e}^{2 x} x^{2}-2 \ln \left(2\right)}{x}$&$19$\\ \hline \end{longtable}"," ",0,"-2*ln(2)/x-x*exp(2*x)","A"
8344,1,19,25,0.402000," ","int(((28*x^3-28*x^2+7*x+8)*exp(4)+128*x^2-128*x+32)/(32*x^2-32*x+8)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{7 x^{2}}{16}+4 x \,{\mathrm e}^{-4}-\frac{1}{4 \left(x -\frac{1}{2}\right)}$&$19$\\ default&$\frac{{\mathrm e}^{-4} \left(32 x +\frac{7 x^{2} {\mathrm e}^{4}}{2}-\frac{4 \,{\mathrm e}^{4}}{2 x -1}\right)}{8}$&$29$\\ gosper&$\frac{\left(14 x^{3} {\mathrm e}^{4}-7 x^{2} {\mathrm e}^{4}+128 x^{2}-8 \,{\mathrm e}^{4}-32\right) {\mathrm e}^{-4}}{32 x -16}$&$39$\\ norman&$\frac{-\left(4+{\mathrm e}^{4}\right) {\mathrm e}^{-4} x +\frac{7 x^{3}}{8}-\frac{\left(7 \,{\mathrm e}^{4}-128\right) {\mathrm e}^{-4} x^{2}}{16}}{2 x -1}$&$41$\\ meijerg&$\frac{4 \,{\mathrm e}^{-4} x}{1-2 x}+\frac{7 x \left(-8 x^{2}-12 x +12\right)}{64 \left(1-2 x \right)}+\frac{21 \ln \left(1-2 x \right)}{32}-\frac{\left(-28 \,{\mathrm e}^{4}+128\right) {\mathrm e}^{-4} \left(-\frac{2 x \left(6-6 x \right)}{3 \left(1-2 x \right)}-2 \ln \left(1-2 x \right)\right)}{64}+\frac{\left(7 \,{\mathrm e}^{4}-128\right) {\mathrm e}^{-4} \left(\frac{2 x}{1-2 x}+\ln \left(1-2 x \right)\right)}{32}+\frac{x}{1-2 x}$&$112$\\ \hline \end{longtable}"," ",0,"7/16*x^2+4*x*exp(-4)-1/4/(x-1/2)","A"
8345,1,74,15,0.184000," ","int((100*ln(x)*ln(1/3*ln(x)/exp(x))*ln(ln(1/3*ln(x)/exp(x)))+100*x*ln(x)-100)/ln(x)/ln(1/3*ln(x)/exp(x))/ln(ln(1/3*ln(x)/exp(x)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{100 x}{\ln \left(-\ln \left(3\right)-\ln \left({\mathrm e}^{x}\right)+\ln \left(\ln \left(x \right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x} \ln \left(x \right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{-x} \ln \left(x \right)\right)+\mathrm{csgn}\left(i {\mathrm e}^{-x}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{-x} \ln \left(x \right)\right)+\mathrm{csgn}\left(i \ln \left(x \right)\right)\right)}{2}\right)}$&$74$\\ \hline \end{longtable}"," ",0,"100*x/ln(-ln(3)-ln(exp(x))+ln(ln(x))-1/2*I*Pi*csgn(I*exp(-x)*ln(x))*(-csgn(I*exp(-x)*ln(x))+csgn(I*exp(-x)))*(-csgn(I*exp(-x)*ln(x))+csgn(I*ln(x))))","C"
8346,0,0,35,180.000000," ","int((((200*x^3-400*x^2+200*x)*ln(x-1)^2+(-400*x^4+800*x^3-400*x^2+200*x)*ln(x-1)+200*x^5-400*x^4+200*x^2)*exp(((x^2-x)*ln(x-1)-x^3+x^2-x)/((x-1)*ln(x-1)-x^2+x))+(-400*x^2+800*x-400)*ln(x-1)^2+(800*x^3-1600*x^2+800*x)*ln(x-1)-400*x^4+800*x^3-400*x^2)/(((x^3-2*x^2+x)*ln(x-1)^2+(-2*x^4+4*x^3-2*x^2)*ln(x-1)+x^5-2*x^4+x^3)*exp(((x^2-x)*ln(x-1)-x^3+x^2-x)/((x-1)*ln(x-1)-x^2+x))^3+((-3*x^3+6*x^2-3*x)*ln(x-1)^2+(6*x^4-12*x^3+6*x^2)*ln(x-1)-3*x^5+6*x^4-3*x^3)*ln(x^2)*exp(((x^2-x)*ln(x-1)-x^3+x^2-x)/((x-1)*ln(x-1)-x^2+x))^2+((3*x^3-6*x^2+3*x)*ln(x-1)^2+(-6*x^4+12*x^3-6*x^2)*ln(x-1)+3*x^5-6*x^4+3*x^3)*ln(x^2)^2*exp(((x^2-x)*ln(x-1)-x^3+x^2-x)/((x-1)*ln(x-1)-x^2+x))+((-x^3+2*x^2-x)*ln(x-1)^2+(2*x^4-4*x^3+2*x^2)*ln(x-1)-x^5+2*x^4-x^3)*ln(x^2)^3),x)","\[\int \frac{\left(\left(200 x^{3}-400 x^{2}+200 x \right) \ln \left(x -1\right)^{2}+\left(-400 x^{4}+800 x^{3}-400 x^{2}+200 x \right) \ln \left(x -1\right)+200 x^{5}-400 x^{4}+200 x^{2}\right) {\mathrm e}^{\frac{\left(x^{2}-x \right) \ln \left(x -1\right)-x^{3}+x^{2}-x}{\left(x -1\right) \ln \left(x -1\right)-x^{2}+x}}+\left(-400 x^{2}+800 x -400\right) \ln \left(x -1\right)^{2}+\left(800 x^{3}-1600 x^{2}+800 x \right) \ln \left(x -1\right)-400 x^{4}+800 x^{3}-400 x^{2}}{\left(\left(x^{3}-2 x^{2}+x \right) \ln \left(x -1\right)^{2}+\left(-2 x^{4}+4 x^{3}-2 x^{2}\right) \ln \left(x -1\right)+x^{5}-2 x^{4}+x^{3}\right) {\mathrm e}^{\frac{3 \left(x^{2}-x \right) \ln \left(x -1\right)-3 x^{3}+3 x^{2}-3 x}{\left(x -1\right) \ln \left(x -1\right)-x^{2}+x}}+\left(\left(-3 x^{3}+6 x^{2}-3 x \right) \ln \left(x -1\right)^{2}+\left(6 x^{4}-12 x^{3}+6 x^{2}\right) \ln \left(x -1\right)-3 x^{5}+6 x^{4}-3 x^{3}\right) \ln \left(x^{2}\right) {\mathrm e}^{\frac{2 \left(x^{2}-x \right) \ln \left(x -1\right)-2 x^{3}+2 x^{2}-2 x}{\left(x -1\right) \ln \left(x -1\right)-x^{2}+x}}+\left(\left(3 x^{3}-6 x^{2}+3 x \right) \ln \left(x -1\right)^{2}+\left(-6 x^{4}+12 x^{3}-6 x^{2}\right) \ln \left(x -1\right)+3 x^{5}-6 x^{4}+3 x^{3}\right) \ln \left(x^{2}\right)^{2} {\mathrm e}^{\frac{\left(x^{2}-x \right) \ln \left(x -1\right)-x^{3}+x^{2}-x}{\left(x -1\right) \ln \left(x -1\right)-x^{2}+x}}+\left(\left(-x^{3}+2 x^{2}-x \right) \ln \left(x -1\right)^{2}+\left(2 x^{4}-4 x^{3}+2 x^{2}\right) \ln \left(x -1\right)-x^{5}+2 x^{4}-x^{3}\right) \ln \left(x^{2}\right)^{3}}\, dx\]"," ",0,"int((((200*x^3-400*x^2+200*x)*ln(x-1)^2+(-400*x^4+800*x^3-400*x^2+200*x)*ln(x-1)+200*x^5-400*x^4+200*x^2)*exp(((x^2-x)*ln(x-1)-x^3+x^2-x)/((x-1)*ln(x-1)-x^2+x))+(-400*x^2+800*x-400)*ln(x-1)^2+(800*x^3-1600*x^2+800*x)*ln(x-1)-400*x^4+800*x^3-400*x^2)/(((x^3-2*x^2+x)*ln(x-1)^2+(-2*x^4+4*x^3-2*x^2)*ln(x-1)+x^5-2*x^4+x^3)*exp(((x^2-x)*ln(x-1)-x^3+x^2-x)/((x-1)*ln(x-1)-x^2+x))^3+((-3*x^3+6*x^2-3*x)*ln(x-1)^2+(6*x^4-12*x^3+6*x^2)*ln(x-1)-3*x^5+6*x^4-3*x^3)*ln(x^2)*exp(((x^2-x)*ln(x-1)-x^3+x^2-x)/((x-1)*ln(x-1)-x^2+x))^2+((3*x^3-6*x^2+3*x)*ln(x-1)^2+(-6*x^4+12*x^3-6*x^2)*ln(x-1)+3*x^5-6*x^4+3*x^3)*ln(x^2)^2*exp(((x^2-x)*ln(x-1)-x^3+x^2-x)/((x-1)*ln(x-1)-x^2+x))+((-x^3+2*x^2-x)*ln(x-1)^2+(2*x^4-4*x^3+2*x^2)*ln(x-1)-x^5+2*x^4-x^3)*ln(x^2)^3),x)","F"
8347,1,19,27,0.101000," ","int((-9*exp(3)^2+81*x^2-162*x)/(x^2*exp(3)^4+(-6*x^4+18*x^3)*exp(3)^2+9*x^6-54*x^5+81*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9}{x \left({\mathrm e}^{6}-3 x^{2}+9 x \right)}$&$19$\\ gosper&$\frac{9}{x \left({\mathrm e}^{6}-3 x^{2}+9 x \right)}$&$21$\\ norman&$\frac{9}{x \left({\mathrm e}^{6}-3 x^{2}+9 x \right)}$&$21$\\ \hline \end{longtable}"," ",0,"9/x/(exp(6)-3*x^2+9*x)","A"
8348,1,17,19,0.093000," ","int((-96*x^8-384*x^7+2400*x^6)*exp(25/x)^2*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-48 x^{8} {\mathrm e}^{\frac{2 x^{2}+50}{x}}$&$17$\\ gosper&$-48 x^{8} {\mathrm e}^{2 x} {\mathrm e}^{\frac{50}{x}}$&$18$\\ \hline \end{longtable}"," ",0,"-48*x^8*exp(2*(x^2+25)/x)","A"
8349,1,17,14,0.026000," ","int(-3*ln(x)-exp(1)-2*x-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}-x \,{\mathrm e}-3 x \ln \left(x \right)$&$17$\\ norman&$-x^{2}-x \,{\mathrm e}-3 x \ln \left(x \right)$&$17$\\ risch&$-x^{2}-x \,{\mathrm e}-3 x \ln \left(x \right)$&$17$\\ \hline \end{longtable}"," ",0,"-x^2-x*exp(1)-3*x*ln(x)","A"
8350,1,38,30,0.042000," ","int((-4*x-8)*exp(9)^2-10*x^9+60*x^5+4*x^3+24*x^2-2*x+33,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(x^{9}-10 x^{5}+2 \,{\mathrm e}^{18} x -x^{3}+8 \,{\mathrm e}^{18}-8 x^{2}+x -33\right)$&$38$\\ risch&$-2 x^{2} {\mathrm e}^{18}-8 \,{\mathrm e}^{18} x -x^{10}+10 x^{6}+x^{4}+8 x^{3}-x^{2}+33 x$&$40$\\ default&${\mathrm e}^{18} \left(-2 x^{2}-8 x \right)-x^{10}+10 x^{6}+x^{4}+8 x^{3}-x^{2}+33 x$&$42$\\ norman&$x^{4}+\left(-8 \,{\mathrm e}^{18}+33\right) x +\left(-2 \,{\mathrm e}^{18}-1\right) x^{2}+8 x^{3}+10 x^{6}-x^{10}$&$42$\\ \hline \end{longtable}"," ",0,"-x*(x^9-10*x^5+2*exp(9)^2*x-x^3+8*exp(9)^2-8*x^2+x-33)","A"
8351,1,7,12,0.023000," ","int(-8*exp(-x)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \,{\mathrm e}^{-2 x}$&$7$\\ norman&$4 \,{\mathrm e}^{-2 x}$&$7$\\ risch&$4 \,{\mathrm e}^{-2 x}$&$7$\\ meijerg&$-4+4 \,{\mathrm e}^{-2 x}$&$9$\\ gosper&$4 \left({\mathrm e}^{-x}\right)^{2}$&$11$\\ \hline \end{longtable}"," ",0,"4/exp(x)^2","A"
8352,1,21,21,0.091000," ","int(1/4*((-24*x^3-12*x^2)*exp(2*x-3)+12*exp(5)-9*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{9 x}{4}-\frac{3 \,{\mathrm e}^{5}}{x}-3 \,{\mathrm e}^{2 x -3} x$&$21$\\ norman&$\frac{-\frac{9 x^{2}}{4}-3 \,{\mathrm e}^{2 x -3} x^{2}-3 \,{\mathrm e}^{5}}{x}$&$26$\\ derivativedivides&$-\frac{9 x}{4}+\frac{27}{8}-\frac{3 \,{\mathrm e}^{5}}{x}-\frac{9 \,{\mathrm e}^{2 x -3}}{2}-\frac{3 \,{\mathrm e}^{2 x -3} \left(2 x -3\right)}{2}$&$34$\\ default&$-\frac{9 x}{4}+\frac{27}{8}-\frac{3 \,{\mathrm e}^{5}}{x}-\frac{9 \,{\mathrm e}^{2 x -3}}{2}-\frac{3 \,{\mathrm e}^{2 x -3} \left(2 x -3\right)}{2}$&$34$\\ \hline \end{longtable}"," ",0,"-9/4*x-3*exp(5)/x-3*exp(2*x-3)*x","A"
8353,1,44,23,0.085000," ","int(((((x^2-10*x+23)*exp(x)+2*x^2-20*x+46)*exp(ln(exp(x)+2)+x-5)+(-2*x^2+20*x-46)*exp(x)-4*x^2+40*x-92)*ln(exp(ln(exp(x)+2)+x-5)-2)+((2*x^3-16*x^2+14*x+80)*exp(x)+2*x^3-16*x^2+14*x+80)*exp(ln(exp(x)+2)+x-5))/(((x^2-10*x+25)*exp(x)+2*x^2-20*x+50)*exp(ln(exp(x)+2)+x-5)+(-2*x^2+20*x-50)*exp(x)-4*x^2+40*x-100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2}-5 x +2\right) \ln \left(\left({\mathrm e}^{x}+2\right) {\mathrm e}^{x -5}-2\right)}{x -5}+2 \ln \left({\mathrm e}^{2 x}+2 \,{\mathrm e}^{x}-2 \,{\mathrm e}^{5}\right)$&$44$\\ \hline \end{longtable}"," ",0,"(x^2-5*x+2)/(x-5)*ln((exp(x)+2)*exp(x-5)-2)+2*ln(exp(2*x)+2*exp(x)-2*exp(5))","A"
8354,1,39,26,0.056000," ","int(((50*x^3-180*x^2+162*x)*exp(x)*ln(x)^2+(-5*x*exp(x)^2+(30*x^3-84*x^2+78*x)*exp(x))*ln(x)+(-5*x+9)*exp(x)^2+(30*x^2-84*x+54)*exp(x))/((100*x^3-360*x^2+324*x)*ln(x)^2+((-20*x^2+36*x)*exp(x)+120*x^3-336*x^2+216*x)*ln(x)+x*exp(x)^2+(-12*x^2+12*x)*exp(x)+36*x^3-72*x^2+36*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}}{2}-\frac{\left(6 x -{\mathrm e}^{x}-6\right) {\mathrm e}^{x}}{2 \left(10 x \ln \left(x \right)-18 \ln \left(x \right)-{\mathrm e}^{x}+6 x -6\right)}$&$39$\\ \hline \end{longtable}"," ",0,"1/2*exp(x)-1/2*(6*x-exp(x)-6)*exp(x)/(10*x*ln(x)-18*ln(x)-exp(x)+6*x-6)","A"
8355,1,61,31,0.226000," ","int(1/5*(((7*x-2)*exp(3*x)+8*x-4)*exp(-ln(x/exp(x))+x)^2+((-40*x+8)*exp(3*x)-32*x+16)*exp(-ln(x/exp(x))+x)+(30*x*ln(2)+15*x^2+53*x)*exp(3*x)+10*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\frac{16 \,{\mathrm e}^{3 x}}{5}+x \,{\mathrm e}^{3 x}+2 \ln \left(2\right) {\mathrm e}^{3 x}-\frac{8 \,{\mathrm e}^{5 x}}{5 x}+\frac{{\mathrm e}^{7 x}}{5 x^{2}}+\frac{2 \,{\mathrm e}^{4 x}}{5 x^{2}}-\frac{16 \,{\mathrm e}^{2 x}}{5 x}$&$61$\\ risch&$2 \ln \left(2\right) {\mathrm e}^{3 x}+x \,{\mathrm e}^{3 x}+\frac{16 \,{\mathrm e}^{3 x}}{5}+2 x +\frac{\left({\mathrm e}^{3 x}+2\right) {\mathrm e}^{4 x}}{5 x^{2}}-\frac{8 \left({\mathrm e}^{3 x}+2\right) {\mathrm e}^{2 x} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}}{2}} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i x \right)}{2}} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)}{2}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)}{2}}}{5 x}$&$143$\\ \hline \end{longtable}"," ",0,"2*x+16/5*exp(x)^3+x*exp(x)^3+2*exp(x)^3*ln(2)-8/5*exp(x)^5/x+1/5*exp(x)^7/x^2+2/5/x^2*exp(4*x)-16/5*exp(2*x)/x","A"
8356,1,142,30,4.562000," ","int((((x^2-2*x)*exp(x)+x^2+8*x)*ln(16/x^2)^2+((-2*x^3+4*x^2)*exp(x)-2*x^3-16*x^2)*ln(16/x^2)+(x^4-2*x^3+5*x^2+10*x)*exp(x)+x^4+3*x^3-30*x^2-40*x)*exp((6*ln(16/x^2)-5-6*x)/(ln(16/x^2)-x))/((exp(x)^2+(-2*x-8)*exp(x)+x^2+8*x+16)*ln(16/x^2)^2+(-2*x*exp(x)^2+(4*x^2+16*x)*exp(x)-2*x^3-16*x^2-32*x)*ln(16/x^2)+exp(x)^2*x^2+(-2*x^3-8*x^2)*exp(x)+x^4+8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{\frac{6 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-12 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+6 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}-24 \ln \left(x \right)+48 \ln \left(2\right)-12 x -10}{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}-4 \ln \left(x \right)+8 \ln \left(2\right)-2 x}}}{x -{\mathrm e}^{x}+4}$&$142$\\ \hline \end{longtable}"," ",0,"x^2/(x-exp(x)+4)*exp(2*(3*I*Pi*csgn(I*x^2)^3-6*I*Pi*csgn(I*x^2)^2*csgn(I*x)+3*I*Pi*csgn(I*x^2)*csgn(I*x)^2-12*ln(x)+24*ln(2)-6*x-5)/(I*Pi*csgn(I*x^2)^3-2*I*Pi*csgn(I*x^2)^2*csgn(I*x)+I*Pi*csgn(I*x^2)*csgn(I*x)^2-4*ln(x)+8*ln(2)-2*x))","C"
8357,1,34,27,0.104000," ","int((((2*x*ln(2)+x^2-6*x)*exp(x)-5*x^3-5*x^2)*ln(x)+(x*ln(2)+x^2-3*x+4)*exp(x)-5*x^2+20*x-20)/(x^4*exp(x)*ln(x)^2-8*x^2*exp(x)*ln(x)+16*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left({\mathrm e}^{x} \ln \left(2\right)+{\mathrm e}^{x} x -5 x -3 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{x^{2} \ln \left(x \right)-4}$&$34$\\ \hline \end{longtable}"," ",0,"-(exp(x)*ln(2)+exp(x)*x-5*x-3*exp(x))*exp(-x)/(x^2*ln(x)-4)","A"
8358,1,7,8,0.018000," ","int((-2*ln(x)+1)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(x \right)}{x^{2}}$&$7$\\ norman&$\frac{\ln \left(x \right)}{x^{2}}$&$7$\\ risch&$\frac{\ln \left(x \right)}{x^{2}}$&$7$\\ \hline \end{longtable}"," ",0,"ln(x)/x^2","A"
8359,1,56,24,0.135000," ","int(1/4*(-exp(ln(x)+ln(3/x^2)+x)^2+(40*x-80)*exp(ln(x)+ln(3/x^2)+x)-50*x^2+100*x)/exp(ln(x)+ln(3/x^2)+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{4}+\frac{10 x^{2} {\mathrm e}^{-x} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}}{2}}}{3}+\frac{25 \,{\mathrm e}^{-2 x} x^{4}}{36}$&$56$\\ default&$-\frac{x}{4}-10 \,{\mathrm e}^{-\ln \left(\frac{3}{x^{2}}\right)-2 \ln \left(x \right)-x} \left(-\ln \left(\frac{3}{x^{2}}\right)-2 \ln \left(x \right)-x \right)^{2}-10 \,{\mathrm e}^{-\ln \left(\frac{3}{x^{2}}\right)-2 \ln \left(x \right)-x} \left(\ln \left(\frac{3}{x^{2}}\right)+2 \ln \left(x \right)\right)^{2}-20 \,{\mathrm e}^{-\ln \left(\frac{3}{x^{2}}\right)-2 \ln \left(x \right)-x} \left(\ln \left(\frac{3}{x^{2}}\right)+2 \ln \left(x \right)\right)-20 \left(\ln \left(\frac{3}{x^{2}}\right)+2 \ln \left(x \right)\right) \left({\mathrm e}^{-\ln \left(\frac{3}{x^{2}}\right)-2 \ln \left(x \right)-x} \left(-\ln \left(\frac{3}{x^{2}}\right)-2 \ln \left(x \right)-x \right)-{\mathrm e}^{-\ln \left(\frac{3}{x^{2}}\right)-2 \ln \left(x \right)-x}\right)+\frac{25 \,{\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x} \left(-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x \right)^{4}}{64}+\frac{25 \,{\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x} \left(\ln \left(\frac{3}{x^{2}}\right)+2 \ln \left(x \right)\right)^{3}}{2}+\frac{25 \,{\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x} \left(\ln \left(\frac{3}{x^{2}}\right)+2 \ln \left(x \right)\right)^{4}}{4}+\frac{75 \left(\ln \left(\frac{3}{x^{2}}\right)+2 \ln \left(x \right)\right)^{2} \left({\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x} \left(-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x \right)-{\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x}\right)}{4}+\frac{25 \left(\ln \left(\frac{3}{x^{2}}\right)+2 \ln \left(x \right)\right)^{3} \left({\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x} \left(-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x \right)-{\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x}\right)}{2}+\frac{75 \left(\ln \left(\frac{3}{x^{2}}\right)+2 \ln \left(x \right)\right) \left({\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x} \left(-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x \right)^{2}-2 \,{\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x} \left(-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x \right)+2 \,{\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x}\right)}{8}+\frac{75 \left(\ln \left(\frac{3}{x^{2}}\right)+2 \ln \left(x \right)\right)^{2} \left({\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x} \left(-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x \right)^{2}-2 \,{\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x} \left(-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x \right)+2 \,{\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x}\right)}{8}+\frac{25 \left(\ln \left(\frac{3}{x^{2}}\right)+2 \ln \left(x \right)\right) \left({\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x} \left(-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x \right)^{3}-3 \,{\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x} \left(-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x \right)^{2}+6 \,{\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x} \left(-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x \right)-6 \,{\mathrm e}^{-2 \ln \left(\frac{3}{x^{2}}\right)-4 \ln \left(x \right)-2 x}\right)}{8}$&$761$\\ \hline \end{longtable}"," ",0,"-1/4*x+10/3*x^2*exp(-x)*exp(-1/2*I*Pi*csgn(I*x^2)^3)*exp(-1/2*I*Pi*csgn(I*x^2)*csgn(I*x)^2)+25/36*exp(-2*x)*x^4","C"
8360,1,19,18,0.055000," ","int((-192*x^3-576*x^2+384*x+768)*exp(15*x^4+60*x^3-60*x^2-240*x+240)+exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{16 \,{\mathrm e}^{15 \left(x^{2}+2 x -4\right)^{2}}}{5}+{\mathrm e}^{x}$&$19$\\ default&$-\frac{16 \,{\mathrm e}^{15 x^{4}+60 x^{3}-60 x^{2}-240 x +240}}{5}+{\mathrm e}^{x}$&$27$\\ norman&$-\frac{16 \,{\mathrm e}^{15 x^{4}+60 x^{3}-60 x^{2}-240 x +240}}{5}+{\mathrm e}^{x}$&$27$\\ \hline \end{longtable}"," ",0,"-16/5*exp(15*(x^2+2*x-4)^2)+exp(x)","A"
8361,1,28,29,0.291000," ","int((3*x^2*ln(2)*exp((x^3*ln(2)+x^3)/ln(2))^2+(-6*x^2*ln(2)*exp(1/x)+(15*x^4-12*x^2)*ln(2)+15*x^4)*exp((x^3*ln(2)+x^3)/ln(2))+3*x^2*ln(2)*exp(1/x)^2+(12*x^2+5)*ln(2)*exp(1/x)+12*x^2*ln(2))/(3*x^2*ln(2)*exp((x^3*ln(2)+x^3)/ln(2))^2+(-6*x^2*ln(2)*exp(1/x)-12*x^2*ln(2))*exp((x^3*ln(2)+x^3)/ln(2))+3*x^2*ln(2)*exp(1/x)^2+12*x^2*ln(2)*exp(1/x)+12*x^2*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{5}{3 \left({\mathrm e}^{\frac{1}{x}}-{\mathrm e}^{\frac{x^{3} \left(1+\ln \left(2\right)\right)}{\ln \left(2\right)}}+2\right)}$&$28$\\ \hline \end{longtable}"," ",0,"x+5/3/(exp(1/x)-exp(x^3*(1+ln(2))/ln(2))+2)","A"
8362,1,241,30,0.309000," ","int(((x*exp(2-x)-x)*ln(x^4)+(-x*exp(2-x)^2-2*x^2*exp(2-x)-x^3)*exp(((5+x)*ln(3)+4)/ln(3))*ln(x)+(-exp(2-x)^2-2*x*exp(2-x)-x^2)*exp(((5+x)*ln(3)+4)/ln(3))+4*exp(2-x)+4*x)/(x*exp(2-x)^2+2*x^2*exp(2-x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x \,{\mathrm e}^{\frac{4+7 \ln \left(3\right)}{\ln \left(3\right)}}+{\mathrm e}^{-\frac{x \ln \left(3\right)-9 \ln \left(3\right)-4}{\ln \left(3\right)}}-4 \,{\mathrm e}^{2-x}\right) {\mathrm e}^{x -2} \ln \left(x \right)}{x +{\mathrm e}^{2-x}}-\frac{i \left(\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)-\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\mathrm{csgn}\left(i x^{2}\right)^{3}-\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\mathrm{csgn}\left(i x^{3}\right)^{3}-\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\mathrm{csgn}\left(i x^{4}\right)^{3}\right) \pi}{2 \left(x +{\mathrm e}^{2-x}\right)}$&$241$\\ \hline \end{longtable}"," ",0,"-(x*exp((4+7*ln(3))/ln(3))+exp(-(x*ln(3)-9*ln(3)-4)/ln(3))-4*exp(2-x))*exp(x-2)/(x+exp(2-x))*ln(x)-1/2*I*(csgn(I*x^2)*csgn(I*x)^2-2*csgn(I*x)*csgn(I*x^2)^2+csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-csgn(I*x)*csgn(I*x^3)^2+csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)-csgn(I*x)*csgn(I*x^4)^2+csgn(I*x^2)^3-csgn(I*x^2)*csgn(I*x^3)^2+csgn(I*x^3)^3-csgn(I*x^3)*csgn(I*x^4)^2+csgn(I*x^4)^3)*Pi/(x+exp(2-x))","C"
8363,1,29,20,0.071000," ","int(1/3*((1-x)*exp(1)*exp(x)^2+((x^2-x)*exp(1)*exp(9)-x*exp(1))*exp(x)+(2*x-1)*exp(1)*exp(9))*exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2} {\mathrm e}^{10}-x \,{\mathrm e}^{10}-x \,{\mathrm e}^{x +1}+{\mathrm e}^{x +1}\right) {\mathrm e}^{{\mathrm e}^{x}}}{3}$&$29$\\ norman&$\frac{{\mathrm e} \,{\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{x}}}{3}+\frac{{\mathrm e} \,{\mathrm e}^{9} x^{2} {\mathrm e}^{{\mathrm e}^{x}}}{3}-\frac{{\mathrm e}^{{\mathrm e}^{x}} x \,{\mathrm e} \,{\mathrm e}^{x}}{3}-\frac{{\mathrm e}^{{\mathrm e}^{x}} {\mathrm e} \,{\mathrm e}^{9} x}{3}$&$43$\\ \hline \end{longtable}"," ",0,"1/3*(x^2*exp(10)-x*exp(10)-x*exp(x+1)+exp(x+1))*exp(exp(x))","A"
8364,1,44,29,0.427000," ","int(((24*x^3-26*x^2)*exp(ln(-2*x^2+13/3*x)-3)^2+(-480*x^3+664*x^2)*exp(ln(-2*x^2+13/3*x)-3)+2880*x^2-7968*x+3744)/(6*x^4-13*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{-6} x^{4}-\frac{52 \,{\mathrm e}^{-6} x^{3}}{3}+\frac{169 \,{\mathrm e}^{-6} x^{2}}{9}+80 \,{\mathrm e}^{-3} x^{2}-\frac{664 x \,{\mathrm e}^{-3}}{3}+\frac{-480 x +144}{x^{2}}$&$44$\\ default&$-\frac{480}{x}+\frac{144}{x^{2}}-\frac{8 \,{\mathrm e}^{-3} \left(-30 x^{2}+83 x \right)}{3}+\frac{2 \,{\mathrm e}^{-6} \left(18 x^{4}-78 x^{3}+\frac{169}{2} x^{2}\right)}{9}$&$45$\\ norman&$\frac{\left(-\frac{664 x^{3}}{3}-480 x \,{\mathrm e}^{3}-\frac{52 \,{\mathrm e}^{-3} x^{5}}{3}+4 \,{\mathrm e}^{-3} x^{6}+\frac{\left(169+720 \,{\mathrm e}^{3}\right) {\mathrm e}^{-3} x^{4}}{9}+144 \,{\mathrm e}^{3}\right) {\mathrm e}^{-3}}{x^{2}}$&$57$\\ \hline \end{longtable}"," ",0,"4*exp(-6)*x^4-52/3*exp(-6)*x^3+169/9*exp(-6)*x^2+80*exp(-3)*x^2-664/3*x*exp(-3)+(-480*x+144)/x^2","A"
8365,1,21,21,0.288000," ","int((-10*x^3-12*x^2+2*x-2)*exp(1-x)*exp(2*x*exp(1-x)/(5*x^2+x-1))/(25*x^4+10*x^3-9*x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 x \,{\mathrm e}^{1-x}}{5 x^{2}+x -1}}$&$21$\\ norman&$\frac{x \,{\mathrm e}^{\frac{2 x \,{\mathrm e}^{1-x}}{5 x^{2}+x -1}}+5 x^{2} {\mathrm e}^{\frac{2 x \,{\mathrm e}^{1-x}}{5 x^{2}+x -1}}-{\mathrm e}^{\frac{2 x \,{\mathrm e}^{1-x}}{5 x^{2}+x -1}}}{5 x^{2}+x -1}$&$82$\\ \hline \end{longtable}"," ",0,"exp(2*x*exp(1-x)/(5*x^2+x-1))","A"
8366,1,27,28,0.083000," ","int(1/3*(((6*x^2*exp(3)-5*x^3-12*x^2)*exp(x^2*exp(3)-5/9*x^3-2*x^2+5)+3*x)*ln(x)-3*exp(x^2*exp(3)-5/9*x^3-2*x^2+5)-3*x)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x^{2} {\mathrm e}^{3}-\frac{5 x^{3}}{9}-2 x^{2}+5}+x}{\ln \left(x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"(exp(x^2*exp(3)-5/9*x^3-2*x^2+5)+x)/ln(x)","A"
8367,1,17,16,0.038000," ","int(((6*x^2+7*x+2)*ln(3*x+2)^3-6*x*ln(x)-12*x^2)/((3*x^2+2*x)*ln(x)+6*x^3+4*x^2)/ln(3*x+2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{1}{\ln \left(3 x +2\right)^{2}}+\ln \left(2 x +\ln \left(x \right)\right)$&$17$\\ risch&$\frac{1}{\ln \left(3 x +2\right)^{2}}+\ln \left(2 x +\ln \left(x \right)\right)$&$17$\\ \hline \end{longtable}"," ",0,"1/ln(3*x+2)^2+ln(2*x+ln(x))","A"
8368,0,0,24,0.013000," ","int((((10*x^4+4*x^2)*ln(5*x^3+2*x)-10*x^5-4*x^3)*ln(-ln(5*x^3+2*x)+x)+(-50*x^4-20*x^2)*ln(5*x^3+2*x)+50*x^5+15*x^3+15*x^2-2*x+2)/(((5*x^3+2*x)*ln(5*x^3+2*x)-5*x^4-2*x^2)*ln(-ln(5*x^3+2*x)+x)+(-25*x^3-10*x)*ln(5*x^3+2*x)+25*x^4+10*x^2),x)","\[\int \frac{\left(\left(10 x^{4}+4 x^{2}\right) \ln \left(5 x^{3}+2 x \right)-10 x^{5}-4 x^{3}\right) \ln \left(-\ln \left(5 x^{3}+2 x \right)+x \right)+\left(-50 x^{4}-20 x^{2}\right) \ln \left(5 x^{3}+2 x \right)+50 x^{5}+15 x^{3}+15 x^{2}-2 x +2}{\left(\left(5 x^{3}+2 x \right) \ln \left(5 x^{3}+2 x \right)-5 x^{4}-2 x^{2}\right) \ln \left(-\ln \left(5 x^{3}+2 x \right)+x \right)+\left(-25 x^{3}-10 x \right) \ln \left(5 x^{3}+2 x \right)+25 x^{4}+10 x^{2}}\, dx\]"," ",0,"int((((10*x^4+4*x^2)*ln(5*x^3+2*x)-10*x^5-4*x^3)*ln(-ln(5*x^3+2*x)+x)+(-50*x^4-20*x^2)*ln(5*x^3+2*x)+50*x^5+15*x^3+15*x^2-2*x+2)/(((5*x^3+2*x)*ln(5*x^3+2*x)-5*x^4-2*x^2)*ln(-ln(5*x^3+2*x)+x)+(-25*x^3-10*x)*ln(5*x^3+2*x)+25*x^4+10*x^2),x)","F"
8369,1,6,17,0.013000," ","int(-2/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2}{x}$&$6$\\ default&$\frac{2}{x}$&$6$\\ norman&$\frac{2}{x}$&$6$\\ risch&$\frac{2}{x}$&$6$\\ \hline \end{longtable}"," ",0,"2/x","A"
8370,1,25,19,0.146000," ","int(1/2*(((4*x*ln(x)+4*x-8)*exp(x*ln(x))^2+((2*x^4+12*x^3)*ln(x)+2*x^4+10*x^3-24*x^2)*exp(x*ln(x))+x^6+6*x^5)*exp(1/4*(4*exp(x*ln(x))^2+(4*x^3+24*x^2)*exp(x*ln(x))+x^6+12*x^5+36*x^4)/x^4)+2*x^5)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{\left(x^{3}+6 x^{2}+2 x^{x}\right)^{2}}{4 x^{4}}}$&$25$\\ \hline \end{longtable}"," ",0,"x+exp(1/4*(x^3+6*x^2+2*x^x)^2/x^4)","A"
8371,1,26,26,0.138000," ","int(((6*exp(x^2)-3)*ln(-x/(2*exp(x^2)-1))+(6*exp(x)-12*x^2-6)*exp(x^2)-3*exp(x)+3)/(2*exp(x^2)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-6 x +3 x \ln \left(-\frac{x}{2 \,{\mathrm e}^{x^{2}}-1}\right)+3 \,{\mathrm e}^{x}$&$26$\\ risch&$-3 x \ln \left({\mathrm e}^{x^{2}}-\frac{1}{2}\right)+3 x \ln \left(x \right)-\frac{3 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x^{2}}-\frac{1}{2}}\right) \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{x^{2}}-\frac{1}{2}}\right)}{2}+\frac{3 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{x^{2}}-\frac{1}{2}}\right)^{2}}{2}+\frac{3 i \pi  x \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x^{2}}-\frac{1}{2}}\right) \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{x^{2}}-\frac{1}{2}}\right)^{2}}{2}-3 i \pi  x \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{x^{2}}-\frac{1}{2}}\right)^{2}+\frac{3 i \pi  x \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{x^{2}}-\frac{1}{2}}\right)^{3}}{2}+3 i \pi  x -3 x \ln \left(2\right)-6 x +3 \,{\mathrm e}^{x}$&$166$\\ \hline \end{longtable}"," ",0,"-6*x+3*x*ln(-x/(2*exp(x^2)-1))+3*exp(x)","A"
8372,1,50,23,0.125000," ","int(((((x^2-4*x)*ln(x)-x+4)*ln(x^2)*ln(ln(x^2))+(2*x*ln(x)-2)*ln(x^2))*ln((x-4)*ln(ln(x^2))+2)+x*ln(x)*ln(x^2)*ln(ln(x^2))+(2*x-8)*ln(x))/((x^2-4*x)*ln(x)*ln(x^2)*ln(ln(x^2))+2*x*ln(x)*ln(x^2))/ln((x-4)*ln(ln(x^2))+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\ln \left(\ln \left(x \right)\right)+\ln \left(\ln \left(\left(x -4\right) \ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)+2\right)\right)$&$50$\\ \hline \end{longtable}"," ",0,"x-ln(ln(x))+ln(ln((x-4)*ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)+2))","C"
8373,1,24,23,0.037000," ","int((-64*x-96)*exp(((32*x^2+96*x-96)*ln(3)^2+512)/ln(3)^2)+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-{\mathrm e}^{96 x +\frac{512}{\ln \left(3\right)^{2}}-96+32 x^{2}}$&$24$\\ norman&$x^{2}-{\mathrm e}^{\frac{\left(32 x^{2}+96 x -96\right) \ln \left(3\right)^{2}+512}{\ln \left(3\right)^{2}}}$&$30$\\ risch&$x^{2}-{\mathrm e}^{\frac{32 x^{2} \ln \left(3\right)^{2}+96 x \ln \left(3\right)^{2}-96 \ln \left(3\right)^{2}+512}{\ln \left(3\right)^{2}}}$&$37$\\ \hline \end{longtable}"," ",0,"x^2-exp(96*x+512/ln(3)^2-96+32*x^2)","A"
8374,1,16,13,0.039000," ","int((-4*exp(x)^2*x^2+(-60*x-40)*exp(x)-25)/(8*exp(x)^2*x^2+40*exp(x)*x+50),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{2}+\frac{10}{2 \,{\mathrm e}^{x} x +5}$&$16$\\ norman&$\frac{-\frac{5 x}{2}-{\mathrm e}^{x} x^{2}+10}{2 \,{\mathrm e}^{x} x +5}$&$23$\\ \hline \end{longtable}"," ",0,"-1/2*x+10/(2*exp(x)*x+5)","A"
8375,1,60,31,0.091000," ","int(1/4*(((x^3-x^2-5*x-5)*exp(x)-2*x^3+x^2)*ln(x)+(-3*x^4+50*x^3+5*x^2)*exp(x)^2+(-x^5+28*x^4-50*x^3-x^2+5)*exp(x)+x^2)/exp(x)^2/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left({\mathrm e}^{x} x^{2}-x^{2}-5 \,{\mathrm e}^{x}\right) {\mathrm e}^{-2 x} \ln \left(x \right)}{4 x}-\frac{x \left({\mathrm e}^{x} x^{2}-x^{2}-25 \,{\mathrm e}^{x} x +25 x -5 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{4}$&$60$\\ \hline \end{longtable}"," ",0,"-1/4*(exp(x)*x^2-x^2-5*exp(x))/x*exp(-2*x)*ln(x)-1/4*x*(exp(x)*x^2-x^2-25*exp(x)*x+25*x-5*exp(x))*exp(-x)","A"
8376,1,13,13,0.014000," ","int((-x-1)*exp(x)+2*x+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x -{\mathrm e}^{x} x +x^{2}$&$13$\\ norman&$4 x -{\mathrm e}^{x} x +x^{2}$&$13$\\ risch&$4 x -{\mathrm e}^{x} x +x^{2}$&$13$\\ \hline \end{longtable}"," ",0,"4*x-exp(x)*x+x^2","A"
8377,1,34,16,0.228000," ","int((-x^4*exp(1)+3*x^4+3*x^2)/(x^4*exp(1)^2+(-4*x^5-6*x^4-2*x^2)*exp(1)+4*x^6+12*x^5+9*x^4+4*x^3+6*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{3}{2}-\frac{{\mathrm e}}{2}\right) x^{2}+\frac{1}{2}}{x^{2} {\mathrm e}-2 x^{3}-3 x^{2}-1}$&$34$\\ risch&$\frac{\left(\frac{3}{2}-\frac{{\mathrm e}}{2}\right) x^{2}+\frac{1}{2}}{x^{2} {\mathrm e}-2 x^{3}-3 x^{2}-1}$&$34$\\ gosper&$-\frac{x^{2} {\mathrm e}-3 x^{2}-1}{2 \left(x^{2} {\mathrm e}-2 x^{3}-3 x^{2}-1\right)}$&$36$\\ default&$-\frac{\left(\munderset{\textit{\_R} =\RootOf \left(1+4 \textit{\_Z}^{6}+\left(-4 \,{\mathrm e}+12\right) \textit{\_Z}^{5}+\left({\mathrm e}^{2}-6 \,{\mathrm e}+9\right) \textit{\_Z}^{4}+4 \textit{\_Z}^{3}+\left(-2 \,{\mathrm e}+6\right) \textit{\_Z}^{2}\right)}{\sum}\frac{\left(\left({\mathrm e}-3\right) \textit{\_R}^{4}-3 \textit{\_R}^{2}\right) \ln \left(x -\textit{\_R} \right)}{\textit{\_R}^{3} {\mathrm e}^{2}-5 \textit{\_R}^{4} {\mathrm e}+6 \textit{\_R}^{5}-6 \textit{\_R}^{3} {\mathrm e}+15 \textit{\_R}^{4}+9 \textit{\_R}^{3}-\textit{\_R} \,{\mathrm e}+3 \textit{\_R}^{2}+3 \textit{\_R}}\right)}{4}$&$123$\\ \hline \end{longtable}"," ",0,"((3/2-1/2*exp(1))*x^2+1/2)/(x^2*exp(1)-2*x^3-3*x^2-1)","B"
8378,1,240,27,0.201000," ","int((((4*x-8)*exp(x)-4*x^2+4*x-8)*ln(((-4*x+8)*exp(x)+4*x^2-4*x+8)/exp(x))+(exp(x)*(x-2)-x^2+x-2)*ln(x)+(5*x-2)*exp(x)+4*x^3-13*x^2+13*x-2)/((4*x-8)*exp(x)-4*x^2+4*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left({\mathrm e}^{x}\right)+x \ln \left(x^{2}+\left(-{\mathrm e}^{x}-1\right) x +2 \,{\mathrm e}^{x}+2\right)+\frac{x \ln \left(x \right)}{4}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(-x^{2}-\left(-{\mathrm e}^{x}-1\right) x -2 \,{\mathrm e}^{x}-2\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(-x^{2}-\left(-{\mathrm e}^{x}-1\right) x -2 \,{\mathrm e}^{x}-2\right)\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(-x^{2}-\left(-{\mathrm e}^{x}-1\right) x -2 \,{\mathrm e}^{x}-2\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(-x^{2}-\left(-{\mathrm e}^{x}-1\right) x -2 \,{\mathrm e}^{x}-2\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)}{2}+\frac{i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(-x^{2}-\left(-{\mathrm e}^{x}-1\right) x -2 \,{\mathrm e}^{x}-2\right)\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)}{2}+\frac{i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(-x^{2}-\left(-{\mathrm e}^{x}-1\right) x -2 \,{\mathrm e}^{x}-2\right)\right)^{3}}{2}+2 x \ln \left(2\right)$&$240$\\ \hline \end{longtable}"," ",0,"-x*ln(exp(x))+x*ln(x^2+(-exp(x)-1)*x+2*exp(x)+2)+1/4*x*ln(x)-1/2*I*Pi*x*csgn(I*(-x^2-(-exp(x)-1)*x-2*exp(x)-2))*csgn(I*exp(-x)*(-x^2-(-exp(x)-1)*x-2*exp(x)-2))^2-1/2*I*Pi*x*csgn(I*(-x^2-(-exp(x)-1)*x-2*exp(x)-2))*csgn(I*exp(-x)*(-x^2-(-exp(x)-1)*x-2*exp(x)-2))*csgn(I*exp(-x))+1/2*I*Pi*x*csgn(I*exp(-x)*(-x^2-(-exp(x)-1)*x-2*exp(x)-2))^2*csgn(I*exp(-x))+1/2*I*Pi*x*csgn(I*exp(-x)*(-x^2-(-exp(x)-1)*x-2*exp(x)-2))^3+2*x*ln(2)","C"
8379,1,140,19,0.121000," ","int((((-3-x)*ln(1/(3+x))-3*x-9)*ln(x*ln(1/(3+x))+3*x)+((-3-x)*ln(1/(3+x))-3*x-9)*ln(x)+(2*x+6)*ln(1/(3+x))+5*x+18)/((x^3+3*x^2)*ln(1/(3+x))+3*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(3+x \right)-3\right)}{x}+\frac{-2 i \pi  \mathrm{csgn}\left(i x \left(\ln \left(3+x \right)-3\right)\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\ln \left(3+x \right)-3\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(3+x \right)-3\right)\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\ln \left(3+x \right)-3\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(3+x \right)-3\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(3+x \right)-3\right)\right)^{2}+i \pi  \mathrm{csgn}\left(i x \left(\ln \left(3+x \right)-3\right)\right)^{3}+2 i \pi +4 \ln \left(x \right)}{2 x}$&$140$\\ \hline \end{longtable}"," ",0,"1/x*ln(ln(3+x)-3)+1/2*(-2*I*Pi*csgn(I*x*(ln(3+x)-3))^2-I*Pi*csgn(I*x)*csgn(I*(ln(3+x)-3))*csgn(I*x*(ln(3+x)-3))+I*Pi*csgn(I*x)*csgn(I*x*(ln(3+x)-3))^2+I*Pi*csgn(I*(ln(3+x)-3))*csgn(I*x*(ln(3+x)-3))^2+I*Pi*csgn(I*x*(ln(3+x)-3))^3+2*I*Pi+4*ln(x))/x","C"
8380,1,16,15,0.342000," ","int(((x^2+1)*ln(x^2+1)*ln(ln(x^2+1))^8+16*x^2*ln(ln(x^2+1))^7+(2*x^2+2)*ln(x^2+1))/(x^2+1)/ln(x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +x \ln \left(\ln \left(x^{2}+1\right)\right)^{8}$&$16$\\ \hline \end{longtable}"," ",0,"2*x+x*ln(ln(x^2+1))^8","A"
8381,1,66,29,0.452000," ","int(((((5*x^3+10*x^2+5*x)*ln(3)-5*x^3-5*x^2+5*x+5)*exp(x+1)+(-25*x^4-50*x^3-25*x^2)*ln(3))*exp(x*ln(3))+(x^2+2*x-4)*exp(x+1)^2+(-10*x^3-20*x^2+40*x)*exp(x+1)+25*x^4+50*x^3-100*x^2)/((5*x^2+10*x+5)*exp(x+1)^2+(-50*x^3-100*x^2-50*x)*exp(x+1)+125*x^4+250*x^3+125*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}+4 x -\frac{4 \,{\mathrm e}^{x +1}}{5}-x \,{\mathrm e}^{x \ln \left(3\right)}-x^{2} {\mathrm e}^{x \ln \left(3\right)}-\frac{x^{2} {\mathrm e}^{x +1}}{5}}{5 x^{2}-x \,{\mathrm e}^{x +1}+5 x -{\mathrm e}^{x +1}}$&$66$\\ \hline \end{longtable}"," ",0,"(x^3+4*x-4/5*exp(x+1)-x*exp(x*ln(3))-x^2*exp(x*ln(3))-1/5*x^2*exp(x+1))/(5*x^2-x*exp(x+1)+5*x-exp(x+1))","B"
8382,1,21,22,0.035000," ","int(((10*x^2+120*x)*ln(x)+15*x^3+185*x^2+60*x-20)/((64*x+768)*ln(x+12)^2+((-32*x^3-384*x^2)*ln(x)-32*x^4-384*x^3)*ln(x+12)+(4*x^5+48*x^4)*ln(x)^2+(8*x^6+96*x^5)*ln(x)+4*x^7+48*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5}{4 \left(x^{2} \ln \left(x \right)+x^{3}-4 \ln \left(x +12\right)\right)}$&$21$\\ \hline \end{longtable}"," ",0,"-5/4/(x^2*ln(x)+x^3-4*ln(x+12))","A"
8383,1,53,36,0.115000," ","int(((3*x^4+10*x^3)*exp(x)^2+(7*x^5+27*x^4+8*x^3-40*x^2)*exp(x)+3*x^6+18*x^5+12*x^4-42*x^3-28*x^2+40*x)/((9*x^4+30*x^3+25*x^2)*exp(x)^2+(18*x^5+84*x^4+84*x^3-70*x^2-100*x)*exp(x)+9*x^6+54*x^5+75*x^4-78*x^3-179*x^2+20*x+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{3}+\frac{25}{27 \left(x +\frac{5}{3}\right)}-\frac{x^{4}}{\left(3 x +5\right) \left(3 \,{\mathrm e}^{x} x^{2}+3 x^{3}+5 \,{\mathrm e}^{x} x +9 x^{2}-x -10\right)}$&$53$\\ norman&$\frac{x^{4}-5 x^{2}+\frac{x}{3}+{\mathrm e}^{x} x^{3}-{\mathrm e}^{x} x^{2}-\frac{5 \,{\mathrm e}^{x} x}{3}+\frac{10}{3}}{3 \,{\mathrm e}^{x} x^{2}+3 x^{3}+5 \,{\mathrm e}^{x} x +9 x^{2}-x -10}$&$62$\\ \hline \end{longtable}"," ",0,"1/3*x+25/27/(x+5/3)-x^4/(3*x+5)/(3*exp(x)*x^2+3*x^3+5*exp(x)*x+9*x^2-x-10)","A"
8384,1,39,24,0.130000," ","int((((2*x^2-8)*exp(2)+4*x^3)*exp(((x^2+4)*exp(2)+x^3+4*x)/x)^2+((-2*x^3+8*x)*exp(2)-4*x^4-2*x^2)*exp(((x^2+4)*exp(2)+x^3+4*x)/x)+2*x^3+x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+x^{2}+{\mathrm e}^{\frac{2 \left(x^{2}+4\right) \left(x +{\mathrm e}^{2}\right)}{x}}-2 \,{\mathrm e}^{\frac{\left(x^{2}+4\right) \left(x +{\mathrm e}^{2}\right)}{x}} x$&$39$\\ norman&$\frac{x^{3}+x \,{\mathrm e}^{\frac{2 \left(x^{2}+4\right) {\mathrm e}^{2}+2 x^{3}+8 x}{x}}-2 x^{2} {\mathrm e}^{\frac{\left(x^{2}+4\right) {\mathrm e}^{2}+x^{3}+4 x}{x}}}{x}+\ln \left(x \right)$&$61$\\ \hline \end{longtable}"," ",0,"ln(x)+x^2+exp(2*(x^2+4)*(x+exp(2))/x)-2*exp((x^2+4)*(x+exp(2))/x)*x","A"
8385,1,13,13,0.105000," ","int((4*x*exp(5+x)*exp(exp(5+x))*exp(exp(exp(5+x)))+4)*exp(exp(exp(exp(5+x))))+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{5+x}}}}+x$&$13$\\ \hline \end{longtable}"," ",0,"4*x*exp(exp(exp(exp(5+x))))+x","A"
8386,1,25,27,0.031000," ","int((2*ln(2*x)+4*x^2-x-4)*exp(ln(2*x)^2-4*ln(2*x)+exp(1)+2*x^2-x+13)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\ln \left(2 x \right)^{2}+13+{\mathrm e}+2 x^{2}-x}}{16 x^{4}}$&$25$\\ norman&${\mathrm e}^{\ln \left(2 x \right)^{2}-4 \ln \left(2 x \right)+{\mathrm e}+2 x^{2}-x +13}$&$26$\\ \hline \end{longtable}"," ",0,"1/16/x^4*exp(ln(2*x)^2+13+exp(1)+2*x^2-x)","A"
8387,1,23,23,0.128000," ","int(((24*x+1)*ln(1/x^2)^2+(-48*x^2-2*x+3)*ln(1/x^2)+24*x^3+x^2+6)/(3*ln(1/x^2)^2-6*x*ln(1/x^2)+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2}+\frac{x}{3}-\frac{x}{x -\ln \left(\frac{1}{x^{2}}\right)}$&$23$\\ norman&$\frac{-x +\frac{x^{2}}{3}+4 x^{3}-\frac{x \ln \left(\frac{1}{x^{2}}\right)}{3}-4 x^{2} \ln \left(\frac{1}{x^{2}}\right)}{x -\ln \left(\frac{1}{x^{2}}\right)}$&$42$\\ \hline \end{longtable}"," ",0,"4*x^2+1/3*x-x/(x-ln(1/x^2))","A"
8388,1,21,19,0.035000," ","int((-exp(x)^2+(-5*x^4-25*x^3+7)*exp(x)+20*x^3+75*x^2)/exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-6+25 x^{3}+5 x^{4}+{\mathrm e}^{x}\right) {\mathrm e}^{-{\mathrm e}^{x}}$&$21$\\ risch&$\left(-6+25 x^{3}+5 x^{4}+{\mathrm e}^{x}\right) {\mathrm e}^{-{\mathrm e}^{x}}$&$21$\\ \hline \end{longtable}"," ",0,"(-6+25*x^3+5*x^4+exp(x))/exp(exp(x))","A"
8389,1,331,30,0.237000," ","int(((-10*x^2+5*x)*ln(x)+5*exp(3)*exp(2*x)-5*x)/(x*exp(3)*exp(2*x)-x^2)/ln(x)/ln((exp(3)*exp(2*x)-x)*exp(exp(exp(3))^2)^2/exp(2*x)/ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10 i}{\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{2 x +3}+x \right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-2 x} \left(-{\mathrm e}^{2 x +3}+x \right)}{\ln \left(x \right)}\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-2 x} \left(-{\mathrm e}^{2 x +3}+x \right)}{\ln \left(x \right)}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{2 x +3}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{2 x +3}+x \right)}{\ln \left(x \right)}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{2 x +3}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{2 x +3}+x \right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-\pi  \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{2 x +3}+x \right)}{\ln \left(x \right)}\right)^{3}-\pi  \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{2 x +3}+x \right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+\pi  \,\mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{2 x +3}+x \right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-2 x} \left(-{\mathrm e}^{2 x +3}+x \right)}{\ln \left(x \right)}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-2 x} \left(-{\mathrm e}^{2 x +3}+x \right)}{\ln \left(x \right)}\right)^{3}+2 i \ln \left({\mathrm e}^{2 x +3}-x \right)-2 i \ln \left(\ln \left(x \right)\right)-2 i \ln \left({\mathrm e}^{2 x}\right)+4 i {\mathrm e}^{2 \,{\mathrm e}^{3}}}$&$331$\\ \hline \end{longtable}"," ",0,"10*I/(Pi*csgn(I*exp(-2*x))*csgn(I/ln(x)*(-exp(2*x+3)+x))*csgn(I*exp(-2*x)/ln(x)*(-exp(2*x+3)+x))-Pi*csgn(I*exp(-2*x))*csgn(I*exp(-2*x)/ln(x)*(-exp(2*x+3)+x))^2+Pi*csgn(I*(-exp(2*x+3)+x))*csgn(I/ln(x)*(-exp(2*x+3)+x))^2+Pi*csgn(I*(-exp(2*x+3)+x))*csgn(I/ln(x)*(-exp(2*x+3)+x))*csgn(I/ln(x))-Pi*csgn(I/ln(x)*(-exp(2*x+3)+x))^3-Pi*csgn(I/ln(x)*(-exp(2*x+3)+x))^2*csgn(I/ln(x))+Pi*csgn(I/ln(x)*(-exp(2*x+3)+x))*csgn(I*exp(-2*x)/ln(x)*(-exp(2*x+3)+x))^2-Pi*csgn(I*exp(-2*x)/ln(x)*(-exp(2*x+3)+x))^3+2*I*ln(exp(2*x+3)-x)-2*I*ln(ln(x))-2*I*ln(exp(2*x))+4*I*exp(2*exp(3)))","C"
8390,1,25,31,0.091000," ","int(((x^3+20*x^2+125*x+250)*exp((5+x)/x^2)-2*x^6-19*x^5-40*x^4+20*x^3)/(x^5+10*x^4+25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+x +\frac{5}{5+x}-{\mathrm e}^{\frac{5+x}{x^{2}}}$&$25$\\ derivativedivides&$-{\mathrm e}^{\frac{1}{x}+\frac{5}{x^{2}}}+x -x^{2}-\frac{1}{1+\frac{5}{x}}$&$31$\\ default&$-{\mathrm e}^{\frac{1}{x}+\frac{5}{x^{2}}}+x -x^{2}-\frac{1}{1+\frac{5}{x}}$&$31$\\ norman&$\frac{-20 x^{2}-4 x^{4}-x^{5}-5 \,{\mathrm e}^{\frac{5+x}{x^{2}}} x^{2}-{\mathrm e}^{\frac{5+x}{x^{2}}} x^{3}}{x^{2} \left(5+x \right)}$&$52$\\ \hline \end{longtable}"," ",0,"-x^2+x+5/(5+x)-exp((5+x)/x^2)","A"
8391,1,24,21,0.038000," ","int(((81*x-81)*ln(x)^2+(9*x^2-90*x+90)*ln(x)-5*x^2+16*x-25)*exp((-9*x*ln(x)+5*x)/(9*exp(x)*ln(x)+(x-5)*exp(x)))/(81*exp(x)*ln(x)^2+(18*x-90)*exp(x)*ln(x)+(x^2-10*x+25)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x \left(9 \ln \left(x \right)-5\right) {\mathrm e}^{-x}}{9 \ln \left(x \right)+x -5}}$&$24$\\ \hline \end{longtable}"," ",0,"exp(-x*(9*ln(x)-5)*exp(-x)/(9*ln(x)+x-5))","A"
8392,1,370,31,0.229000," ","int(((3*exp(4+x)*ln(x/ln(5))^2+(-6*x*exp(4+x)+180*x+720)*ln(x/ln(5))+3*x^2*exp(4+x)-180*x^2-720*x)*ln((-exp(4+x)*ln(x/ln(5))+x*exp(4+x)-60*x-240)/(ln(x/ln(5))-x))+3*x*exp(4+x)*ln(x/ln(5))^2+(-6*x^2*exp(4+x)+180*x)*ln(x/ln(5))+3*x^3*exp(4+x)+540*x-720)/(exp(4+x)*ln(x/ln(5))^2+(-2*x*exp(4+x)+60*x+240)*ln(x/ln(5))+x^2*exp(4+x)-60*x^2-240*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x \ln \left(\left({\mathrm e}^{4+x}-60\right) x -{\mathrm e}^{4+x} \ln \left(\frac{x}{\ln \left(5\right)}\right)-240\right)-3 x \ln \left(-\ln \left(\frac{x}{\ln \left(5\right)}\right)+x \right)-3 i \pi  x \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{4+x}-60\right) x -{\mathrm e}^{4+x} \ln \left(\frac{x}{\ln \left(5\right)}\right)-240\right)}{-\ln \left(\frac{x}{\ln \left(5\right)}\right)+x}\right)^{2}-\frac{3 i \pi  x \,\mathrm{csgn}\left(\frac{i}{-\ln \left(\frac{x}{\ln \left(5\right)}\right)+x}\right) \mathrm{csgn}\left(i \left(\left({\mathrm e}^{4+x}-60\right) x -{\mathrm e}^{4+x} \ln \left(\frac{x}{\ln \left(5\right)}\right)-240\right)\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{4+x}-60\right) x -{\mathrm e}^{4+x} \ln \left(\frac{x}{\ln \left(5\right)}\right)-240\right)}{-\ln \left(\frac{x}{\ln \left(5\right)}\right)+x}\right)}{2}+\frac{3 i \pi  x \,\mathrm{csgn}\left(\frac{i}{-\ln \left(\frac{x}{\ln \left(5\right)}\right)+x}\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{4+x}-60\right) x -{\mathrm e}^{4+x} \ln \left(\frac{x}{\ln \left(5\right)}\right)-240\right)}{-\ln \left(\frac{x}{\ln \left(5\right)}\right)+x}\right)^{2}}{2}+\frac{3 i \pi  x \,\mathrm{csgn}\left(i \left(\left({\mathrm e}^{4+x}-60\right) x -{\mathrm e}^{4+x} \ln \left(\frac{x}{\ln \left(5\right)}\right)-240\right)\right) \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{4+x}-60\right) x -{\mathrm e}^{4+x} \ln \left(\frac{x}{\ln \left(5\right)}\right)-240\right)}{-\ln \left(\frac{x}{\ln \left(5\right)}\right)+x}\right)^{2}}{2}+\frac{3 i \pi  x \mathrm{csgn}\left(\frac{i \left(\left({\mathrm e}^{4+x}-60\right) x -{\mathrm e}^{4+x} \ln \left(\frac{x}{\ln \left(5\right)}\right)-240\right)}{-\ln \left(\frac{x}{\ln \left(5\right)}\right)+x}\right)^{3}}{2}+3 i \pi  x$&$370$\\ \hline \end{longtable}"," ",0,"3*x*ln((exp(4+x)-60)*x-exp(4+x)*ln(x/ln(5))-240)-3*x*ln(-ln(x/ln(5))+x)-3*I*Pi*x*csgn(I/(-ln(x/ln(5))+x)*((exp(4+x)-60)*x-exp(4+x)*ln(x/ln(5))-240))^2-3/2*I*Pi*x*csgn(I/(-ln(x/ln(5))+x))*csgn(I*((exp(4+x)-60)*x-exp(4+x)*ln(x/ln(5))-240))*csgn(I/(-ln(x/ln(5))+x)*((exp(4+x)-60)*x-exp(4+x)*ln(x/ln(5))-240))+3/2*I*Pi*x*csgn(I/(-ln(x/ln(5))+x))*csgn(I/(-ln(x/ln(5))+x)*((exp(4+x)-60)*x-exp(4+x)*ln(x/ln(5))-240))^2+3/2*I*Pi*x*csgn(I*((exp(4+x)-60)*x-exp(4+x)*ln(x/ln(5))-240))*csgn(I/(-ln(x/ln(5))+x)*((exp(4+x)-60)*x-exp(4+x)*ln(x/ln(5))-240))^2+3/2*I*Pi*x*csgn(I/(-ln(x/ln(5))+x)*((exp(4+x)-60)*x-exp(4+x)*ln(x/ln(5))-240))^3+3*I*Pi*x","C"
8393,1,171,26,0.521000," ","int(((2560*x^14+10752*x^13)*ln(3*x)^8+(2048*x^14+6144*x^13)*ln(3*x)^7+(32768*x^12+147456*x^11)*ln(3*x)^6+(24576*x^12+73728*x^11)*ln(3*x)^5+(147456*x^10+737280*x^9)*ln(3*x)^4+(98304*x^10+294912*x^9)*ln(3*x)^3+(262144*x^8+1572864*x^7)*ln(3*x)^2+(131072*x^8+393216*x^7)*ln(3*x)+131072*x^6+1179648*x^5)/(x^5+15*x^4+90*x^3+270*x^2+405*x+243),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{256 x^{14} \ln \left(3 x \right)^{8}}{x^{4}+12 x^{3}+54 x^{2}+108 x +81}+\frac{4096 x^{12} \ln \left(3 x \right)^{6}}{x^{4}+12 x^{3}+54 x^{2}+108 x +81}+\frac{24576 x^{10} \ln \left(3 x \right)^{4}}{x^{4}+12 x^{3}+54 x^{2}+108 x +81}+\frac{65536 x^{8} \ln \left(3 x \right)^{2}}{x^{4}+12 x^{3}+54 x^{2}+108 x +81}+\frac{65536 x^{6}-5898240 x^{4}-70778880 x^{3}-318504960 x^{2}-637009920 x -477757440}{x^{4}+12 x^{3}+54 x^{2}+108 x +81}$&$171$\\ \hline \end{longtable}"," ",0,"256*x^14/(x^4+12*x^3+54*x^2+108*x+81)*ln(3*x)^8+4096*x^12/(x^4+12*x^3+54*x^2+108*x+81)*ln(3*x)^6+24576*x^10/(x^4+12*x^3+54*x^2+108*x+81)*ln(3*x)^4+65536*x^8/(x^4+12*x^3+54*x^2+108*x+81)*ln(3*x)^2+65536*(x^6-90*x^4-1080*x^3-4860*x^2-9720*x-7290)/(x^4+12*x^3+54*x^2+108*x+81)","B"
8394,1,20,18,0.426000," ","int(((100*x^2-400*x)*exp(exp(4))-8*x^2+32*x-32)/(x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(100 \,{\mathrm e}^{{\mathrm e}^{4}}-8\right) x^{2}+32}{x -2}$&$20$\\ default&$100 x \,{\mathrm e}^{{\mathrm e}^{4}}-8 x +\frac{400 \,{\mathrm e}^{{\mathrm e}^{4}}}{x -2}$&$21$\\ risch&$100 x \,{\mathrm e}^{{\mathrm e}^{4}}-8 x +\frac{400 \,{\mathrm e}^{{\mathrm e}^{4}}}{x -2}$&$21$\\ gosper&$\frac{100 x^{2} {\mathrm e}^{{\mathrm e}^{4}}-8 x^{2}+32}{x -2}$&$23$\\ meijerg&$-\frac{8 x}{1-\frac{x}{2}}-2 \left(100 \,{\mathrm e}^{{\mathrm e}^{4}}-8\right) \left(-\frac{x \left(-\frac{3 x}{2}+6\right)}{6 \left(1-\frac{x}{2}\right)}-2 \ln \left(1-\frac{x}{2}\right)\right)-2 \left(200 \,{\mathrm e}^{{\mathrm e}^{4}}-16\right) \left(\frac{x}{2-x}+\ln \left(1-\frac{x}{2}\right)\right)$&$71$\\ \hline \end{longtable}"," ",0,"((100*exp(exp(4))-8)*x^2+32)/(x-2)","A"
8395,1,27,24,0.063000," ","int(1/4*(-8*x^3*exp(1/4/ln(3))-15*x^4+19*x^2+12)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{19 x}{4}-\frac{5 x^{3}}{4}-x^{2} {\mathrm e}^{\frac{1}{4 \ln \left(3\right)}}-\frac{3}{x}$&$27$\\ risch&$\frac{19 x}{4}-\frac{5 x^{3}}{4}-x^{2} {\mathrm e}^{\frac{1}{4 \ln \left(3\right)}}-\frac{3}{x}$&$27$\\ norman&$\frac{-3+\frac{19 x^{2}}{4}-\frac{5 x^{4}}{4}-x^{3} {\mathrm e}^{\frac{1}{4 \ln \left(3\right)}}}{x}$&$29$\\ gosper&$-\frac{5 x^{4}+4 x^{3} {\mathrm e}^{\frac{1}{4 \ln \left(3\right)}}-19 x^{2}+12}{4 x}$&$30$\\ \hline \end{longtable}"," ",0,"19/4*x-5/4*x^3-x^2*exp(1/4/ln(3))-3/x","A"
8396,1,36,29,0.254000," ","int(((-18*x^3-33*x^2+184*x-148)*exp(5)^4+(-48*x^3-152*x^2+288*x)*exp(5)^3+(12*x^4+6*x^3-215*x^2)*exp(5)^2+(16*x^4+72*x^3)*exp(5)-2*x^5-9*x^4)/((9*x^2-24*x+16)*exp(5)^4+(24*x^2-32*x)*exp(5)^3+(-6*x^3+24*x^2)*exp(5)^2-8*x^3*exp(5)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-9 x +\frac{x \,{\mathrm e}^{10}}{3 x \,{\mathrm e}^{10}-4 \,{\mathrm e}^{10}+4 x \,{\mathrm e}^{5}-x^{2}}$&$36$\\ norman&$\frac{x^{4}+\left(9-3 \,{\mathrm e}^{10}-4 \,{\mathrm e}^{5}\right) x^{3}+\left(-69 \,{\mathrm e}^{20}-200 \,{\mathrm e}^{15}-107 \,{\mathrm e}^{10}\right) x +4 \,{\mathrm e}^{15} \left(23 \,{\mathrm e}^{5}+36\right)}{3 x \,{\mathrm e}^{10}-4 \,{\mathrm e}^{10}+4 x \,{\mathrm e}^{5}-x^{2}}$&$81$\\ gosper&$-\frac{69 x \,{\mathrm e}^{20}+3 x^{3} {\mathrm e}^{10}-92 \,{\mathrm e}^{20}+200 x \,{\mathrm e}^{15}+4 x^{3} {\mathrm e}^{5}-x^{4}-144 \,{\mathrm e}^{15}+107 x \,{\mathrm e}^{10}-9 x^{3}}{3 x \,{\mathrm e}^{10}-4 \,{\mathrm e}^{10}+4 x \,{\mathrm e}^{5}-x^{2}}$&$89$\\ default&$-x^{2}-9 x -\frac{\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+\left(-8 \,{\mathrm e}^{5}-6 \,{\mathrm e}^{10}\right) \textit{\_Z}^{3}+\left(24 \,{\mathrm e}^{10}+9 \,{\mathrm e}^{20}+24 \,{\mathrm e}^{15}\right) \textit{\_Z}^{2}+\left(-24 \,{\mathrm e}^{20}-32 \,{\mathrm e}^{15}\right) \textit{\_Z} +16 \,{\mathrm e}^{20}\right)}{\sum}\frac{\left({\mathrm e}^{10} \textit{\_R}^{2}-4 \,{\mathrm e}^{20}\right) \ln \left(x -\textit{\_R} \right)}{12 \textit{\_R}^{2} {\mathrm e}^{5}+9 \,{\mathrm e}^{10} \textit{\_R}^{2}-2 \textit{\_R}^{3}-9 \textit{\_R} \,{\mathrm e}^{20}-24 \,{\mathrm e}^{15} \textit{\_R} -24 \,{\mathrm e}^{10} \textit{\_R} +12 \,{\mathrm e}^{20}+16 \,{\mathrm e}^{15}}\right)}{2}$&$128$\\ \hline \end{longtable}"," ",0,"-x^2-9*x+1/3*x*exp(10)/(x*exp(10)-4/3*exp(10)+4/3*x*exp(5)-1/3*x^2)","A"
8397,1,10,13,0.025000," ","int((2-exp(4))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(2-{\mathrm e}^{4}\right) \ln \left(x \right)$&$10$\\ norman&$\left(2-{\mathrm e}^{4}\right) \ln \left(x \right)$&$10$\\ risch&$-{\mathrm e}^{4} \ln \left(x \right)+2 \ln \left(x \right)$&$12$\\ \hline \end{longtable}"," ",0,"(2-exp(4))*ln(x)","A"
8398,1,14,17,0.021000," ","int((-3*x^2-1)*exp(5)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(x^{2} {\mathrm e}^{5}+{\mathrm e}^{5}-1\right)$&$14$\\ default&${\mathrm e}^{5} \left(-x^{3}-x \right)+x$&$15$\\ risch&$-x^{3} {\mathrm e}^{5}-x \,{\mathrm e}^{5}+x$&$15$\\ norman&$\left(1-{\mathrm e}^{5}\right) x -x^{3} {\mathrm e}^{5}$&$17$\\ \hline \end{longtable}"," ",0,"-x*(x^2*exp(5)+exp(5)-1)","A"
8399,1,47,22,0.089000," ","int(((4*x^3-6*x^2+2*x)*exp(ln(5)^4+2*x*ln(5)^2+x^2)^4+((648*x^2-648*x)*ln(5)^2+648*x^3-648*x^2-324*x+162)*exp(ln(5)^4+2*x*ln(5)^2+x^2)^2-52488*ln(5)^2-52488*x)/exp(ln(5)^4+2*x*ln(5)^2+x^2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}-2 x^{3}+x^{2}+\left(-162 x^{2}+162 x \right) {\mathrm e}^{-2 \left(\ln \left(5\right)^{2}+x \right)^{2}}+6561 \,{\mathrm e}^{-4 \left(\ln \left(5\right)^{2}+x \right)^{2}}$&$47$\\ default&$x^{4}-2 x^{3}+x^{2}+6561 \,{\mathrm e}^{-4 \ln \left(5\right)^{4}-8 x \ln \left(5\right)^{2}-4 x^{2}}+162 x \,{\mathrm e}^{-2 \ln \left(5\right)^{4}-4 x \ln \left(5\right)^{2}-2 x^{2}}-162 x^{2} {\mathrm e}^{-2 \ln \left(5\right)^{4}-4 x \ln \left(5\right)^{2}-2 x^{2}}$&$83$\\ norman&$\left(6561+x^{4} {\mathrm e}^{4 \ln \left(5\right)^{4}+8 x \ln \left(5\right)^{2}+4 x^{2}}+{\mathrm e}^{4 \ln \left(5\right)^{4}+8 x \ln \left(5\right)^{2}+4 x^{2}} x^{2}+162 \,{\mathrm e}^{2 \ln \left(5\right)^{4}+4 x \ln \left(5\right)^{2}+2 x^{2}} x -162 \,{\mathrm e}^{2 \ln \left(5\right)^{4}+4 x \ln \left(5\right)^{2}+2 x^{2}} x^{2}-2 \,{\mathrm e}^{4 \ln \left(5\right)^{4}+8 x \ln \left(5\right)^{2}+4 x^{2}} x^{3}\right) {\mathrm e}^{-4 \ln \left(5\right)^{4}-8 x \ln \left(5\right)^{2}-4 x^{2}}$&$133$\\ \hline \end{longtable}"," ",0,"x^4-2*x^3+x^2+(-162*x^2+162*x)*exp(-2*(ln(5)^2+x)^2)+6561*exp(-4*(ln(5)^2+x)^2)","B"
8400,0,0,28,0.775000," ","int(((2*x^4*exp(2)+2*x^5)*ln((12*exp(2)+12*x)/x)^4-4*x^4*exp(2)*ln((12*exp(2)+12*x)/x)^3+(2*x^3*exp(2)+2*x^4)*ln((12*exp(2)+12*x)/x)^2+(4*x^2*exp(2)*ln(3)-4*x^3*exp(2))*ln((12*exp(2)+12*x)/x)+(-2*exp(2)-2*x)*ln(3)^2+(2*exp(2)*x+2*x^2)*ln(3))/(x^3*exp(2)+x^4),x)","\[\int \frac{\left(2 x^{4} {\mathrm e}^{2}+2 x^{5}\right) \ln \left(\frac{12 \,{\mathrm e}^{2}+12 x}{x}\right)^{4}-4 x^{4} {\mathrm e}^{2} \ln \left(\frac{12 \,{\mathrm e}^{2}+12 x}{x}\right)^{3}+\left(2 x^{3} {\mathrm e}^{2}+2 x^{4}\right) \ln \left(\frac{12 \,{\mathrm e}^{2}+12 x}{x}\right)^{2}+\left(4 x^{2} {\mathrm e}^{2} \ln \left(3\right)-4 x^{3} {\mathrm e}^{2}\right) \ln \left(\frac{12 \,{\mathrm e}^{2}+12 x}{x}\right)+\left(-2 \,{\mathrm e}^{2}-2 x \right) \ln \left(3\right)^{2}+\left(2 \,{\mathrm e}^{2} x +2 x^{2}\right) \ln \left(3\right)}{x^{3} {\mathrm e}^{2}+x^{4}}\, dx\]"," ",0,"int(((2*x^4*exp(2)+2*x^5)*ln((12*exp(2)+12*x)/x)^4-4*x^4*exp(2)*ln((12*exp(2)+12*x)/x)^3+(2*x^3*exp(2)+2*x^4)*ln((12*exp(2)+12*x)/x)^2+(4*x^2*exp(2)*ln(3)-4*x^3*exp(2))*ln((12*exp(2)+12*x)/x)+(-2*exp(2)-2*x)*ln(3)^2+(2*exp(2)*x+2*x^2)*ln(3))/(x^3*exp(2)+x^4),x)","F"
8401,0,0,29,0.040000," ","int(((-32*ln(2)-32*x^2-64*x-128)*ln(5/(4*ln(2)+4*x^2+8*x+16))-32*x-32)/((ln(2)+x^2+2*x+4)*ln(5/(4*ln(2)+4*x^2+8*x+16))*ln(ln(5/(4*ln(2)+4*x^2+8*x+16)))+(-2*x*ln(2)-2*x^3-4*x^2-8*x)*ln(5/(4*ln(2)+4*x^2+8*x+16))),x)","\[\int \frac{\left(-32 \ln \left(2\right)-32 x^{2}-64 x -128\right) \ln \left(\frac{5}{4 \ln \left(2\right)+4 x^{2}+8 x +16}\right)-32 x -32}{\left(\ln \left(2\right)+x^{2}+2 x +4\right) \ln \left(\frac{5}{4 \ln \left(2\right)+4 x^{2}+8 x +16}\right) \ln \left(\ln \left(\frac{5}{4 \ln \left(2\right)+4 x^{2}+8 x +16}\right)\right)+\left(-2 x \ln \left(2\right)-2 x^{3}-4 x^{2}-8 x \right) \ln \left(\frac{5}{4 \ln \left(2\right)+4 x^{2}+8 x +16}\right)}\, dx\]"," ",0,"int(((-32*ln(2)-32*x^2-64*x-128)*ln(5/(4*ln(2)+4*x^2+8*x+16))-32*x-32)/((ln(2)+x^2+2*x+4)*ln(5/(4*ln(2)+4*x^2+8*x+16))*ln(ln(5/(4*ln(2)+4*x^2+8*x+16)))+(-2*x*ln(2)-2*x^3-4*x^2-8*x)*ln(5/(4*ln(2)+4*x^2+8*x+16))),x)","F"
8402,1,23,23,0.134000," ","int(1/5*(((2*exp(x)*x^2+2*x)*exp(exp(x))+(2*x^2+2*x)*exp(x)-4*x^2-10*x)*exp(-2/5*x*exp(exp(x))-2/5*exp(x)*x+2/5*x^2+2*x)-5)*exp(exp(-2/5*x*exp(exp(x))-2/5*exp(x)*x+2/5*x^2+2*x))+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{{\mathrm e}^{-\frac{2 x \left({\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{x}-x -5\right)}{5}}}+x^{2}$&$23$\\ \hline \end{longtable}"," ",0,"-x*exp(exp(-2/5*x*(exp(exp(x))+exp(x)-x-5)))+x^2","A"
8403,1,19,22,0.058000," ","int((((-2*x^2-1)*exp(x^2)-8*exp(x))*exp(1/16*exp(x^2)*x)^2+8*exp(x))/(8*exp(1/16*exp(x^2)*x)^2-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x}-\ln \left({\mathrm e}^{\frac{{\mathrm e}^{x^{2}} x}{8}}-1\right)$&$19$\\ \hline \end{longtable}"," ",0,"-exp(x)-ln(exp(1/8*exp(x^2)*x)-1)","A"
8404,1,30,20,0.063000," ","int((((5*x^2+10*x)*ln(x)+5*x^2+10*x)*ln(ln(x)+1)^2+((-10*x-30)*ln(3+x)+10*x^2+60*x+90)*ln(ln(x)+1)+(25*x^2+50*x)*ln(x)+25*x^2+50*x)/((2*x^2+6*x)*ln(x)+2*x^2+6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{5 x}{2}-\frac{5 \ln \left(3+x \right)}{2}+\frac{15}{2}\right) \ln \left(\ln \left(x \right)+1\right)^{2}+\frac{25 x}{2}-\frac{25 \ln \left(3+x \right)}{2}$&$30$\\ \hline \end{longtable}"," ",0,"(5/2*x-5/2*ln(3+x)+15/2)*ln(ln(x)+1)^2+25/2*x-25/2*ln(3+x)","A"
8405,1,21,22,0.056000," ","int((ln(2)*ln(3)+(-6*x^2+1)*ln(2))/(x*ln(2)*ln(3)+(-2*x^3+x+1)*ln(2)+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(x \ln \left(2\right) \ln \left(3\right)+\left(-2 x^{3}+x +1\right) \ln \left(2\right)+5\right)$&$21$\\ default&$\ln \left(-2 x^{3} \ln \left(2\right)+x \ln \left(2\right) \ln \left(3\right)+x \ln \left(2\right)+\ln \left(2\right)+5\right)$&$23$\\ norman&$\ln \left(-2 x^{3} \ln \left(2\right)+x \ln \left(2\right) \ln \left(3\right)+x \ln \left(2\right)+\ln \left(2\right)+5\right)$&$23$\\ risch&$\ln \left(-2 x^{3} \ln \left(2\right)+\left(\ln \left(2\right) \ln \left(3\right)+\ln \left(2\right)\right) x +\ln \left(2\right)+5\right)$&$23$\\ \hline \end{longtable}"," ",0,"ln(x*ln(2)*ln(3)+(-2*x^3+x+1)*ln(2)+5)","A"
8406,1,28,18,0.380000," ","int(((((-25*x^3+25*x)*exp(x)+25*x-25)*ln(x-1)-25*x)*exp(exp(x)*x)+(3*x^3-3*x^2)*ln(x-1)+3*x^3+9*x^2)/(3*x^3-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x -1\right) x +3 \ln \left(x -1\right)-\frac{25 \ln \left(x -1\right) {\mathrm e}^{{\mathrm e}^{x} x}}{3 x}$&$28$\\ \hline \end{longtable}"," ",0,"ln(x-1)*x+3*ln(x-1)-25/3*ln(x-1)/x*exp(exp(x)*x)","A"
8407,1,32,25,0.164000," ","int(((exp(x)-x^2)*exp(x+1)+(-2*x^2+4*x)*exp(x)-2*x^2)/(5*x^2*exp(3)*exp(x+1)^2+20*x^3*exp(3)*exp(x+1)+20*x^4*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{x \,{\mathrm e}^{-3}}{5}-\frac{{\mathrm e}^{-3} {\mathrm e}^{x}}{5}}{x \left({\mathrm e} \,{\mathrm e}^{x}+2 x \right)}$&$32$\\ risch&$-\frac{{\mathrm e}^{-4}}{5 x}+\frac{{\mathrm e}^{-4} {\mathrm e}}{10 x +5 \,{\mathrm e}^{x +1}}+\frac{2 \,{\mathrm e}^{-4}}{5 \left(2 x +{\mathrm e}^{x +1}\right)}$&$39$\\ \hline \end{longtable}"," ",0,"(1/5*x/exp(3)-1/5*exp(x)/exp(3))/x/(exp(1)*exp(x)+2*x)","A"
8408,1,31,22,0.059000," ","int((-2*exp(5)*ln(5)^2+(-8*x*exp(5)^3+10*x*exp(5)-32*x)*ln(5))/x^3/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(5\right)^{2}+2 \left(-5 \,{\mathrm e}^{5}+4 \,{\mathrm e}^{15}+16\right) \ln \left(5\right) {\mathrm e}^{-5} x}{x^{2}}$&$31$\\ gosper&$\frac{\ln \left(5\right) \left(8 x \,{\mathrm e}^{15}+{\mathrm e}^{5} \ln \left(5\right)-10 x \,{\mathrm e}^{5}+32 x \right) {\mathrm e}^{-5}}{x^{2}}$&$32$\\ default&$2 \,{\mathrm e}^{-5} \ln \left(5\right) \left(\frac{{\mathrm e}^{5} \ln \left(5\right)}{2 x^{2}}-\frac{5 \,{\mathrm e}^{5}-4 \,{\mathrm e}^{15}-16}{x}\right)$&$34$\\ risch&$\frac{{\mathrm e}^{-5} \left(\left(8 \ln \left(5\right) {\mathrm e}^{15}-10 \,{\mathrm e}^{5} \ln \left(5\right)+32 \ln \left(5\right)\right) x +{\mathrm e}^{5} \ln \left(5\right)^{2}\right)}{x^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"(ln(5)^2+2*(4*exp(5)^3-5*exp(5)+16)*ln(5)/exp(5)*x)/x^2","A"
8409,1,9387,23,0.678000," ","int(((246*ln(5)+240*x+492)*exp(40*ln(x)+80)-18*x^2*ln(5)-12*x^3-36*x^2)/(ln(5)^2+(2*x+4)*ln(5)+x^2+4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\text{Expression too large to display}$&$9387$\\ risch&$\text{Expression too large to display}$&$9387$\\ \hline \end{longtable}"," ",0,"result too large to display","B"
8410,1,14,15,0.045000," ","int(1/16*((-195*x^2-195*x)*exp(x)+12*x+12)/exp(65/4*exp(x)*x-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{-\frac{x \left(65 \,{\mathrm e}^{x}-4\right)}{4}} x}{4}$&$14$\\ norman&$\frac{3 \,{\mathrm e}^{-\frac{65 \,{\mathrm e}^{x} x}{4}+x} x}{4}$&$16$\\ \hline \end{longtable}"," ",0,"3/4*exp(-1/4*x*(65*exp(x)-4))*x","A"
8411,1,24,16,0.089000," ","int(((20*x-100)*exp(3)*ln(5-x)^2+(5-x)*ln(5-x)+1)/((20*x-100)*exp(3)*ln(5-x)^2+(5-x)*ln(5-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\ln \left(\ln \left(5-x \right)\right)+\ln \left(\ln \left(5-x \right)-\frac{{\mathrm e}^{-3}}{20}\right)$&$24$\\ norman&$x -\ln \left(\ln \left(5-x \right)\right)+\ln \left(20 \,{\mathrm e}^{3} \ln \left(5-x \right)-1\right)$&$25$\\ \hline \end{longtable}"," ",0,"x-ln(ln(5-x))+ln(ln(5-x)-1/20*exp(-3))","A"
8412,1,70,25,0.218000," ","int(((4*x^6-96*x^5+652*x^4-1394*x^3+1170*x^2-338*x)*ln(2)+28*x^7-472*x^6+1170*x^5-1066*x^4+338*x^3)/((x^3-3*x^2+3*x-1)*ln(2)^3+(3*x^5-9*x^4+9*x^3-3*x^2)*ln(2)^2+(3*x^7-9*x^6+9*x^5-3*x^4)*ln(2)+x^9-3*x^8+3*x^7-x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-28 x^{5}+2 x \ln \left(2\right)^{2}+\left(4 \ln \left(2\right)-390\right) x^{3}+\left(-2 \ln \left(2\right)+250\right) x^{4}+\left(-\ln \left(2\right)^{2}-2 \ln \left(2\right)+169\right) x^{2}-\ln \left(2\right)^{2}}{\left(x -1\right)^{2} \left(\ln \left(2\right)+x^{2}\right)^{2}}$&$70$\\ risch&$\frac{-28 x^{5}+2 x \ln \left(2\right)^{2}+\left(4 \ln \left(2\right)-390\right) x^{3}+\left(-2 \ln \left(2\right)+250\right) x^{4}+\left(-\ln \left(2\right)^{2}-2 \ln \left(2\right)+169\right) x^{2}-\ln \left(2\right)^{2}}{x^{6}+2 x^{4} \ln \left(2\right)-2 x^{5}+x^{2} \ln \left(2\right)^{2}-4 x^{3} \ln \left(2\right)+x^{4}-2 x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+\ln \left(2\right)^{2}}$&$111$\\ gosper&$-\frac{2 x^{4} \ln \left(2\right)+28 x^{5}+x^{2} \ln \left(2\right)^{2}-4 x^{3} \ln \left(2\right)-250 x^{4}-2 x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+390 x^{3}+\ln \left(2\right)^{2}-169 x^{2}}{x^{6}+2 x^{4} \ln \left(2\right)-2 x^{5}+x^{2} \ln \left(2\right)^{2}-4 x^{3} \ln \left(2\right)+x^{4}-2 x \ln \left(2\right)^{2}+2 x^{2} \ln \left(2\right)+\ln \left(2\right)^{2}}$&$118$\\ default&$\frac{2 \left(-14 \ln \left(2\right)^{3}-42 \ln \left(2\right)^{2}-56 \ln \left(2\right)-26\right) x^{3}+2 \left(-\ln \left(2\right)^{4}+94 \ln \left(2\right)^{3}+288 \ln \left(2\right)^{2}+\frac{551 \ln \left(2\right)}{2}+\frac{169}{2}\right) x^{2}+2 \left(13 \ln \left(2\right)^{3}+11 \ln \left(2\right)^{2}\right) x -\ln \left(2\right)^{5}-3 \ln \left(2\right)^{4}+24 \ln \left(2\right)^{3}+22 \ln \left(2\right)^{2}}{\left(\ln \left(2\right)+x^{2}\right)^{2} \left(1+\ln \left(2\right)\right)^{3}}-\frac{2 \left(-14 \ln \left(2\right)-12\right)}{\left(1+\ln \left(2\right)\right)^{3} \left(x -1\right)}+\frac{1}{\left(1+\ln \left(2\right)\right)^{2} \left(x -1\right)^{2}}$&$139$\\ \hline \end{longtable}"," ",0,"(-28*x^5+2*x*ln(2)^2+(4*ln(2)-390)*x^3+(-2*ln(2)+250)*x^4+(-ln(2)^2-2*ln(2)+169)*x^2-ln(2)^2)/(x-1)^2/(ln(2)+x^2)^2","B"
8413,1,16,17,0.052000," ","int((-96*x^2+624*x+11520)*exp(48/(x^17-15*x^16)/exp(x)^2)/(x^19-30*x^18+225*x^17)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{48 \,{\mathrm e}^{-2 x}}{x^{16} \left(x -15\right)}}$&$16$\\ \hline \end{longtable}"," ",0,"exp(48*exp(-2*x)/x^16/(x-15))","A"
8414,1,21,24,0.406000," ","int((((-x^2-16*x)*exp(1/4*x)-64)*exp(exp(1/4*x))+8*x^3+268*x^2+2432*x+3072)/(4*x^2+128*x+1024),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+3 x -\frac{{\mathrm e}^{{\mathrm e}^{\frac{x}{4}}} x}{x +16}$&$21$\\ norman&$\frac{x^{3}+19 x^{2}-x \,{\mathrm e}^{{\mathrm e}^{\frac{x}{4}}}-768}{x +16}$&$25$\\ \hline \end{longtable}"," ",0,"x^2+3*x-exp(exp(1/4*x))*x/(x+16)","A"
8415,1,15,14,0.029000," ","int((4*x^3*ln(x)^3+12*x^4*ln(x)^2+(12*x^5+5*x^4)*ln(x)+4*x^6+3*x^5-2*x^4)/(ln(x)^3+3*x*ln(x)^2+3*x^2*ln(x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}+\frac{x^{5}}{\left(x +\ln \left(x \right)\right)^{2}}$&$15$\\ \hline \end{longtable}"," ",0,"x^4+x^5/(x+ln(x))^2","A"
8416,1,28,25,0.209000," ","int((((48*x+36)*ln(x)-3*exp(4)+120*x+90)*exp((3*ln(x)^2+15*ln(x))/exp(4))^2-12*exp(4))/x^2/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{12}{x}+\frac{\left(3+4 x \right) x^{2 \left(15+3 \ln \left(x \right)\right) {\mathrm e}^{-4}}}{x}$&$28$\\ norman&$\frac{12+3 \,{\mathrm e}^{2 \left(3 \ln \left(x \right)^{2}+15 \ln \left(x \right)\right) {\mathrm e}^{-4}}+4 x \,{\mathrm e}^{2 \left(3 \ln \left(x \right)^{2}+15 \ln \left(x \right)\right) {\mathrm e}^{-4}}}{x}$&$50$\\ default&${\mathrm e}^{-4} \left(\frac{3 \,{\mathrm e}^{4} {\mathrm e}^{2 \left(3 \ln \left(x \right)^{2}+15 \ln \left(x \right)\right) {\mathrm e}^{-4}}+4 x \,{\mathrm e}^{4} {\mathrm e}^{2 \left(3 \ln \left(x \right)^{2}+15 \ln \left(x \right)\right) {\mathrm e}^{-4}}}{x}+\frac{12 \,{\mathrm e}^{4}}{x}\right)$&$66$\\ \hline \end{longtable}"," ",0,"12/x+(3+4*x)/x*(x^(3*(5+ln(x))*exp(-4)))^2","A"
8417,1,21,30,0.064000," ","int(((4*x^5+16*x^4+21*x^3+9*x^2)*exp(x)-4*x^4-12*x^3-9*x^2-180*x-135)/(4*x^4+12*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{45}{x \left(2 x +3\right)}+{\mathrm e}^{x} x$&$21$\\ default&$\frac{15}{x}-\frac{30}{2 x +3}-x +{\mathrm e}^{x} x$&$23$\\ norman&$\frac{45+\frac{9 x}{2}-2 x^{3}+3 \,{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{x} x^{3}}{x \left(2 x +3\right)}$&$36$\\ \hline \end{longtable}"," ",0,"-x+45/x/(2*x+3)+exp(x)*x","A"
8418,1,20,22,0.027000," ","int(1/100*(200*ln(x)^3+200*ln(x)^2+(-361*x^2+1140*x)*ln(x)+361*x^2-2280*x+3600)/ln(x)^2/exp(1/400*(361*x^2-2280*x+3600)/ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right) x \,{\mathrm e}^{-\frac{\left(19 x -60\right)^{2}}{400 \ln \left(x \right)^{2}}}$&$20$\\ \hline \end{longtable}"," ",0,"2*ln(x)*x*exp(-1/400*(19*x-60)^2/ln(x)^2)","A"
8419,1,30,22,0.085000," ","int(((2*x^3*exp(x^2)+(-2*x^4+x^2-2)*exp((-x^4+1)/x^2)+5*x^2)*ln(x)+exp(x^2)*x+x^2*exp((-x^4+1)/x^2)+5*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \,{\mathrm e}^{\frac{-x^{4}+1}{x^{2}}} \ln \left(x \right)+{\mathrm e}^{x^{2}} \ln \left(x \right)+5 x \ln \left(x \right)$&$30$\\ risch&$\left(x \,{\mathrm e}^{-\frac{\left(x -1\right) \left(x +1\right) \left(x^{2}+1\right)}{x^{2}}}+5 x +{\mathrm e}^{x^{2}}\right) \ln \left(x \right)$&$31$\\ \hline \end{longtable}"," ",0,"x*exp((-x^4+1)/x^2)*ln(x)+exp(x^2)*ln(x)+5*x*ln(x)","A"
8420,1,28,25,0.253000," ","int((-16*ln(5)*ln(10)+(-32*x+8)*ln(5))*exp(4*ln(10)^2+2*(8*x-2)*ln(10)+16*x^2-8*x+1)*exp(exp(4*ln(10)^2+2*(8*x-2)*ln(10)+16*x^2-8*x+1)+4)*exp(ln(5)*exp(exp(4*ln(10)^2+2*(8*x-2)*ln(10)+16*x^2-8*x+1)+4))+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5^{{\mathrm e}^{{\mathrm e}^{\left(2 \ln \left(2\right)+2 \ln \left(5\right)+4 x -1\right)^{2}}+4}}+x^{2}$&$28$\\ default&$-{\mathrm e}^{\ln \left(5\right) {\mathrm e}^{{\mathrm e}^{4 \ln \left(10\right)^{2}+2 \left(8 x -2\right) \ln \left(10\right)+16 x^{2}-8 x +1}+4}}+x^{2}$&$40$\\ norman&$-{\mathrm e}^{\ln \left(5\right) {\mathrm e}^{{\mathrm e}^{4 \ln \left(10\right)^{2}+2 \left(8 x -2\right) \ln \left(10\right)+16 x^{2}-8 x +1}+4}}+x^{2}$&$40$\\ \hline \end{longtable}"," ",0,"-5^exp(exp((2*ln(2)+2*ln(5)+4*x-1)^2)+4)+x^2","A"
8421,1,29,24,0.707000," ","int(((-4*x^2+x)*exp(x)+(-30*x^2+175*x-500)*exp(5/x)+15*x^2+25*x)/(x*exp(x)^5+((50*x^2-125*x)*exp(5/x)-25*x^2+125*x)*exp(x)^4+((1000*x^3-5000*x^2+6250*x)*exp(5/x)^2+(-1000*x^3+7500*x^2-12500*x)*exp(5/x)+250*x^3-2500*x^2+6250*x)*exp(x)^3+((10000*x^4-75000*x^3+187500*x^2-156250*x)*exp(5/x)^3+(-15000*x^4+150000*x^3-468750*x^2+468750*x)*exp(5/x)^2+(7500*x^4-93750*x^3+375000*x^2-468750*x)*exp(5/x)-1250*x^4+18750*x^3-93750*x^2+156250*x)*exp(x)^2+((50000*x^5-500000*x^4+1875000*x^3-3125000*x^2+1953125*x)*exp(5/x)^4+(-100000*x^5+1250000*x^4-5625000*x^3+10937500*x^2-7812500*x)*exp(5/x)^3+(75000*x^5-1125000*x^4+6093750*x^3-14062500*x^2+11718750*x)*exp(5/x)^2+(-25000*x^5+437500*x^4-2812500*x^3+7812500*x^2-7812500*x)*exp(5/x)+3125*x^5-62500*x^4+468750*x^3-1562500*x^2+1953125*x)*exp(x)+(100000*x^6-1250000*x^5+6250000*x^4-15625000*x^3+19531250*x^2-9765625*x)*exp(5/x)^5+(-250000*x^6+3750000*x^5-21875000*x^4+62500000*x^3-87890625*x^2+48828125*x)*exp(5/x)^4+(250000*x^6-4375000*x^5+29687500*x^4-97656250*x^3+156250000*x^2-97656250*x)*exp(5/x)^3+(-125000*x^6+2500000*x^5-19531250*x^4+74218750*x^3-136718750*x^2+97656250*x)*exp(5/x)^2+(31250*x^6-703125*x^5+6250000*x^4-27343750*x^3+58593750*x^2-48828125*x)*exp(5/x)-3125*x^6+78125*x^5-781250*x^4+3906250*x^3-9765625*x^2+9765625*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{\left(10 x \,{\mathrm e}^{\frac{5}{x}}+{\mathrm e}^{x}-25 \,{\mathrm e}^{\frac{5}{x}}-5 x +25\right)^{4}}$&$29$\\ \hline \end{longtable}"," ",0,"x/(10*x*exp(5/x)+exp(x)-25*exp(5/x)-5*x+25)^4","A"
8422,1,35,26,0.375000," ","int(((x^2-4)*exp(4)^2+32*x^5-256*x^4+768*x^3-1024*x^2+512*x)*exp(2*exp(4))/(x^2*exp(4)^4+(-32*x^5+128*x^4-128*x^3)*exp(4)^2+256*x^8-2048*x^7+6144*x^6-8192*x^5+4096*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(x -2\right)^{2} {\mathrm e}^{2 \,{\mathrm e}^{4}}}{x \left(-16 x^{3}+{\mathrm e}^{8}+64 x^{2}-64 x \right)}$&$35$\\ risch&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{4}} \left(x^{2}-4 x +4\right)}{x \left(-16 x^{3}+{\mathrm e}^{8}+64 x^{2}-64 x \right)}$&$36$\\ norman&$\frac{x^{2} {\mathrm e}^{2 \,{\mathrm e}^{4}}-4 x \,{\mathrm e}^{2 \,{\mathrm e}^{4}}+4 \,{\mathrm e}^{2 \,{\mathrm e}^{4}}}{x \left(-16 x^{3}+{\mathrm e}^{8}+64 x^{2}-64 x \right)}$&$50$\\ \hline \end{longtable}"," ",0,"1/x*(x-2)^2*exp(2*exp(4))/(-16*x^3+exp(4)^2+64*x^2-64*x)","A"
8423,1,30,29,0.162000," ","int((((2*x^2+1)*exp(5)-10*x^3)*exp(x^2)-exp(5)*(2*ln(5)+I*Pi)+(4-2*x)*exp(5)+5*x^2)/(x^2*exp(x^2)^2+(-2*x^2*(2*ln(5)+I*Pi)-2*x^3+8*x^2)*exp(x^2)+x^2*(2*ln(5)+I*Pi)^2+(2*x^3-8*x^2)*(2*ln(5)+I*Pi)+x^4-8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{5}-5 x}{x \left(2 \ln \left(5\right)+i \pi -4-{\mathrm e}^{x^{2}}+x \right)}$&$30$\\ \hline \end{longtable}"," ",0,"(exp(5)-5*x)/x/(2*ln(5)+I*Pi-4-exp(x^2)+x)","A"
8424,1,27,24,0.023000," ","int((-1280*x^5-2944*x^4+93*x^3-380*x^2+10*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-256 x^{5}-736 x^{4}+31 x^{3}-190 x^{2}+10 x +\ln \left(x \right)$&$27$\\ norman&$-256 x^{5}-736 x^{4}+31 x^{3}-190 x^{2}+10 x +\ln \left(x \right)$&$27$\\ risch&$-256 x^{5}-736 x^{4}+31 x^{3}-190 x^{2}+10 x +\ln \left(x \right)$&$27$\\ \hline \end{longtable}"," ",0,"-256*x^5-736*x^4+31*x^3-190*x^2+10*x+ln(x)","A"
8425,1,46,25,0.091000," ","int(((4*exp(1)^2-8*x*exp(1))*ln(x)+4*exp(1)^2+(-16*x-16)*exp(1)+16*x^2+28*x)/(x*exp(1)^2*ln(x)^2+(2*x*exp(1)^2+(-4*x^2-8*x)*exp(1))*ln(x)+x*exp(1)^2+(-4*x^2-8*x)*exp(1)+4*x^3+14*x^2+18*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(\ln \left(x \right)^{2}+2 \,{\mathrm e}^{-1} \left({\mathrm e}-2 x -4\right) \ln \left(x \right)+\left({\mathrm e}^{2}-4 x \,{\mathrm e}+4 x^{2}-8 \,{\mathrm e}+14 x +18\right) {\mathrm e}^{-2}\right)$&$46$\\ norman&$2 \ln \left({\mathrm e}^{2} \ln \left(x \right)^{2}+2 \,{\mathrm e}^{2} \ln \left(x \right)-4 x \,{\mathrm e} \ln \left(x \right)-8 \,{\mathrm e} \ln \left(x \right)+{\mathrm e}^{2}-4 x \,{\mathrm e}+4 x^{2}-8 \,{\mathrm e}+14 x +18\right)$&$57$\\ \hline \end{longtable}"," ",0,"2*ln(ln(x)^2+2*exp(-1)*(exp(1)-2*x-4)*ln(x)+(exp(2)-4*x*exp(1)+4*x^2-8*exp(1)+14*x+18)*exp(-2))","A"
8426,1,26,21,0.033000," ","int((2*(exp(4)-2)*ln(5)+6*exp(4)-12)*exp(exp(1))+2*(-2*x*exp(4)+4*x)*ln(5)-12*x*exp(4)+24*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$2 \left({\mathrm e}^{4} \ln \left(5\right)-2 \ln \left(5\right)+3 \,{\mathrm e}^{4}-6\right) x \left({\mathrm e}^{{\mathrm e}}-x \right)$&$26$\\ default&$\left(2 \left({\mathrm e}^{4}-2\right) \ln \left(5\right)+6 \,{\mathrm e}^{4}-12\right) {\mathrm e}^{{\mathrm e}} x +2 \ln \left(5\right) \left(-x^{2} {\mathrm e}^{4}+2 x^{2}\right)-6 x^{2} {\mathrm e}^{4}+12 x^{2}$&$50$\\ norman&$\left(-2 \,{\mathrm e}^{4} \ln \left(5\right)+4 \ln \left(5\right)-6 \,{\mathrm e}^{4}+12\right) x^{2}+\left(2 \ln \left(5\right) {\mathrm e}^{4} {\mathrm e}^{{\mathrm e}}-4 \ln \left(5\right) {\mathrm e}^{{\mathrm e}}+6 \,{\mathrm e}^{4} {\mathrm e}^{{\mathrm e}}-12 \,{\mathrm e}^{{\mathrm e}}\right) x$&$53$\\ risch&$2 \ln \left(5\right) {\mathrm e}^{4} {\mathrm e}^{{\mathrm e}} x -4 \ln \left(5\right) {\mathrm e}^{{\mathrm e}} x +6 \,{\mathrm e}^{4} {\mathrm e}^{{\mathrm e}} x -12 x \,{\mathrm e}^{{\mathrm e}}-2 \ln \left(5\right) x^{2} {\mathrm e}^{4}+4 x^{2} \ln \left(5\right)-6 x^{2} {\mathrm e}^{4}+12 x^{2}$&$62$\\ \hline \end{longtable}"," ",0,"2*(exp(4)*ln(5)-2*ln(5)+3*exp(4)-6)*x*(exp(exp(1))-x)","A"
8427,1,5397,30,1.360000," ","int((((10*x*exp(x)*exp(exp(x))+30*exp(x)*x^3)*ln(1/3*exp(exp(x))+x^2)*ln(ln(1/3*exp(exp(x))+x^2))^2+(-2*x^3*exp(exp(x))-6*x^5)*ln(1/3*exp(exp(x))+x^2)*ln(ln(1/3*exp(exp(x))+x^2)))*ln((-5*exp(x)*ln(ln(1/3*exp(exp(x))+x^2))+x^2)/exp(x)/ln(ln(1/3*exp(exp(x))+x^2)))^2+(((2*x^4-4*x^3)*exp(exp(x))+6*x^6-12*x^5)*ln(1/3*exp(exp(x))+x^2)*ln(ln(1/3*exp(exp(x))+x^2))+2*x^4*exp(x)*exp(exp(x))+12*x^5)*ln((-5*exp(x)*ln(ln(1/3*exp(exp(x))+x^2))+x^2)/exp(x)/ln(ln(1/3*exp(exp(x))+x^2))))/((5*exp(x)*exp(exp(x))+15*exp(x)*x^2)*ln(1/3*exp(exp(x))+x^2)*ln(ln(1/3*exp(exp(x))+x^2))^2+(-exp(exp(x))*x^2-3*x^4)*ln(1/3*exp(exp(x))+x^2)*ln(ln(1/3*exp(exp(x))+x^2))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$5397$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
8428,1,22,17,0.081000," ","int(1/6*((16*x^2-2)*exp(4*x^2)-x^2)*exp(1/6*(2*exp(4*x^2)-x^2-21*x)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-2 \,{\mathrm e}^{4 x^{2}}+x^{2}+21 x}{6 x}}$&$22$\\ norman&${\mathrm e}^{\frac{2 \,{\mathrm e}^{4 x^{2}}-x^{2}-21 x}{6 x}}$&$24$\\ \hline \end{longtable}"," ",0,"exp(-1/6*(-2*exp(4*x^2)+x^2+21*x)/x)","A"
8429,1,33,26,0.141000," ","int((-32*x^7-201*x^5-342*x^3+81*x^2-81*x+81)*exp((-16*x^5-12*x^3+108*x-27)/(9*x^3+27*x))/(9*x^7+54*x^5+81*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{-\frac{16 x^{5}+12 x^{3}-108 x +27}{9 \left(x^{2}+3\right) x}}}{x}$&$33$\\ risch&$\frac{{\mathrm e}^{-\frac{16 x^{5}+12 x^{3}-108 x +27}{9 \left(x^{2}+3\right) x}}}{x}$&$33$\\ norman&$\frac{x^{3} {\mathrm e}^{\frac{-16 x^{5}-12 x^{3}+108 x -27}{9 x^{3}+27 x}}+3 x \,{\mathrm e}^{\frac{-16 x^{5}-12 x^{3}+108 x -27}{9 x^{3}+27 x}}}{x^{2} \left(x^{2}+3\right)}$&$76$\\ \hline \end{longtable}"," ",0,"1/x*exp(-1/9*(16*x^5+12*x^3-108*x+27)/(x^2+3)/x)","A"
8430,1,17,16,0.034000," ","int(1/3*((98*x^3-42*x^2)*exp(49/3*x^2-14*x+3)-27)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9}{x}+{\mathrm e}^{\frac{\left(7 x -3\right)^{2}}{3}}$&$17$\\ default&$\frac{9}{x}+{\mathrm e}^{\frac{49}{3} x^{2}-14 x +3}$&$18$\\ norman&$\frac{9+x \,{\mathrm e}^{\frac{49}{3} x^{2}-14 x +3}}{x}$&$20$\\ \hline \end{longtable}"," ",0,"9/x+exp(1/3*(7*x-3)^2)","A"
8431,1,56,24,0.071000," ","int(((8*exp(4*x)^2+(8*x+2)*exp(4*x)+2*x)*exp(x*exp(5))^2+(2*exp(5)-2)*exp(x)^2)/((exp(4*x)^2+2*x*exp(4*x)+x^2-4)*exp(x*exp(5))^2-exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{8 x}+2 x \,{\mathrm e}^{4 x}+x^{2}-4\right)-2 x \,{\mathrm e}^{5}+\ln \left({\mathrm e}^{2 x \,{\mathrm e}^{5}}-\frac{{\mathrm e}^{2 x}}{{\mathrm e}^{8 x}+2 x \,{\mathrm e}^{4 x}+x^{2}-4}\right)$&$56$\\ \hline \end{longtable}"," ",0,"ln(exp(8*x)+2*x*exp(4*x)+x^2-4)-2*x*exp(5)+ln(exp(2*x*exp(5))-exp(2*x)/(exp(8*x)+2*x*exp(4*x)+x^2-4))","B"
8432,1,39,23,0.369000," ","int((((64*x^2+192*x)*ln(3+x)+2)*ln(ln(3+x))+(1024*x^4+3072*x^3+194*x^2+581*x-3)*ln(3+x)+32*x^2+6)/(3+x)/ln(3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(3+x \right)\right)^{2}+32 x^{2} \ln \left(\ln \left(3+x \right)\right)+256 x^{4}+97 x^{2}-x +6 \ln \left(\ln \left(3+x \right)\right)$&$39$\\ \hline \end{longtable}"," ",0,"ln(ln(3+x))^2+32*x^2*ln(ln(3+x))+256*x^4+97*x^2-x+6*ln(ln(3+x))","A"
8433,1,34,21,0.076000," ","int(((36*x+24)*ln(x)-2*x^2*exp(x)^3+72*x+36)/x^3/exp(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{12 \,{\mathrm e}^{-3 x} \ln \left(x \right)}{x^{2}}-\frac{2 \left(\ln \left(x \right) x^{2} {\mathrm e}^{3 x}+12\right) {\mathrm e}^{-3 x}}{x^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"-12/x^2*exp(-3*x)*ln(x)-2*(ln(x)*x^2*exp(3*x)+12)/x^2*exp(-3*x)","A"
8434,1,25,24,0.052000," ","int((-2*ln(2)-I*Pi-5)/(x*exp(5)*exp(ln(x)+exp(5))+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 \ln \left(2\right)+i \pi +5}{{\mathrm e}^{\ln \left(x \right)+{\mathrm e}^{5}} {\mathrm e}^{5}+x}$&$25$\\ default&$-\frac{-2 \ln \left(2\right)-i \pi -5}{\left({\mathrm e}^{{\mathrm e}^{5}+5}+1\right) x}$&$25$\\ norman&$\frac{2 \ln \left(2\right)+i \pi +5}{\left({\mathrm e}^{5} {\mathrm e}^{{\mathrm e}^{5}}+1\right) x}$&$25$\\ risch&$\frac{i \pi}{\left({\mathrm e}^{{\mathrm e}^{5}+5}+1\right) x}+\frac{2 \ln \left(2\right)}{\left({\mathrm e}^{{\mathrm e}^{5}+5}+1\right) x}+\frac{5}{\left({\mathrm e}^{{\mathrm e}^{5}+5}+1\right) x}$&$48$\\ \hline \end{longtable}"," ",0,"(2*ln(2)+I*Pi+5)/(exp(ln(x)+exp(5))*exp(5)+x)","A"
8435,1,148,25,0.236000," ","int((((3*x^2-30*x+75)*ln(x/exp(1))-24*x^2+120*x)*ln(((x-5)*ln(x/exp(1))-8*x)/(x-5))*ln(-ln(((x-5)*ln(x/exp(1))-8*x)/(x-5)))+3*x^2+90*x+75)/((x^2-10*x+25)*ln(x/exp(1))-8*x^2+40*x)/ln(((x-5)*ln(x/exp(1))-8*x)/(x-5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x \ln \left(\ln \left(x -5\right)-\ln \left(\left(\ln \left({\mathrm e}^{-1} x \right)-8\right) x -5 \ln \left({\mathrm e}^{-1} x \right)\right)+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(\left(\ln \left({\mathrm e}^{-1} x \right)-8\right) x -5 \ln \left({\mathrm e}^{-1} x \right)\right)}{x -5}\right) \left(-\mathrm{csgn}\left(\frac{i \left(\left(\ln \left({\mathrm e}^{-1} x \right)-8\right) x -5 \ln \left({\mathrm e}^{-1} x \right)\right)}{x -5}\right)+\mathrm{csgn}\left(\frac{i}{x -5}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(\left(\ln \left({\mathrm e}^{-1} x \right)-8\right) x -5 \ln \left({\mathrm e}^{-1} x \right)\right)}{x -5}\right)+\mathrm{csgn}\left(i \left(\left(\ln \left({\mathrm e}^{-1} x \right)-8\right) x -5 \ln \left({\mathrm e}^{-1} x \right)\right)\right)\right)}{2}\right)$&$148$\\ \hline \end{longtable}"," ",0,"3*x*ln(ln(x-5)-ln((ln(exp(-1)*x)-8)*x-5*ln(exp(-1)*x))+1/2*I*Pi*csgn(I*((ln(exp(-1)*x)-8)*x-5*ln(exp(-1)*x))/(x-5))*(-csgn(I*((ln(exp(-1)*x)-8)*x-5*ln(exp(-1)*x))/(x-5))+csgn(I/(x-5)))*(-csgn(I*((ln(exp(-1)*x)-8)*x-5*ln(exp(-1)*x))/(x-5))+csgn(I*((ln(exp(-1)*x)-8)*x-5*ln(exp(-1)*x)))))","C"
8436,1,76,27,0.056000," ","int(((5000*x^7*exp(1)-10000*x^7)*ln(x^2)^4+(5000*x^7*exp(1)-10000*x^7)*ln(x^2)^3+(250*x^4*exp(1)-500*x^4-400*x^3)*ln(x^2)^2+(200*x^4*exp(1)-400*x^4-400*x^3)*ln(x^2)+2*x*exp(1)-4*x-4)/(exp(1)-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$625 x^{8} \ln \left(x^{2}\right)^{4}+\frac{\left(50 x^{5} {\mathrm e}-100 x^{5}-100 x^{4}\right) \ln \left(x^{2}\right)^{2}}{{\mathrm e}-2}+\frac{x^{2} {\mathrm e}}{{\mathrm e}-2}-\frac{2 x^{2}}{{\mathrm e}-2}-\frac{4 x}{{\mathrm e}-2}$&$76$\\ \hline \end{longtable}"," ",0,"625*x^8*ln(x^2)^4+1/(exp(1)-2)*(50*x^5*exp(1)-100*x^5-100*x^4)*ln(x^2)^2+1/(exp(1)-2)*x^2*exp(1)-2/(exp(1)-2)*x^2-4/(exp(1)-2)*x","B"
8437,1,9,9,0.011000," ","int(-12*ln(2)+7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(-12 \ln \left(2\right)+7\right) x$&$9$\\ norman&$\left(-12 \ln \left(2\right)+7\right) x$&$9$\\ risch&$7 x -12 x \ln \left(2\right)$&$10$\\ \hline \end{longtable}"," ",0,"(-12*ln(2)+7)*x","A"
8438,1,191,21,0.533000," ","int((((2*x^4-18*x^2)*ln(x/(3+x))+3*x^3-9*x^2)*ln(x-3)+(x^4+x^3+18*x)*ln(x/(3+x))-5*x^2+18*x-9)*exp(x^2*ln(x/(3+x))*ln(x-3)-2*x*ln(x/(3+x)))/(x^2-9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \left(x -3\right)^{-\frac{x^{2} \left(i \pi  \,\mathrm{csgn}\left(\frac{i x}{3+x}\right)-i \pi  \,\mathrm{csgn}\left(i x \right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{3+x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i x}{3+x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{3+x}\right)-2 \ln \left(x \right)+2 \ln \left(3+x \right)\right)}{2}} {\mathrm e}^{x \left(i \pi  \mathrm{csgn}\left(\frac{i x}{3+x}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i x}{3+x}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \mathrm{csgn}\left(\frac{i x}{3+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{3+x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i x}{3+x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{3+x}\right)-2 \ln \left(x \right)+2 \ln \left(3+x \right)\right)}$&$191$\\ \hline \end{longtable}"," ",0,"x*(x-3)^(-1/2*x^2*(I*Pi*csgn(I*x/(3+x))-I*Pi*csgn(I*x)-I*Pi*csgn(I/(3+x))+I*Pi*csgn(I*x/(3+x))*csgn(I*x)*csgn(I/(3+x))-2*ln(x)+2*ln(3+x)))*exp(x*(I*Pi*csgn(I*x/(3+x))^3-I*Pi*csgn(I*x/(3+x))^2*csgn(I*x)-I*Pi*csgn(I*x/(3+x))^2*csgn(I/(3+x))+I*Pi*csgn(I*x/(3+x))*csgn(I*x)*csgn(I/(3+x))-2*ln(x)+2*ln(3+x)))","C"
8439,1,101,29,0.066000," ","int(1/4*((-2*x^3-33*x^2-16*x+8)*exp(x)^2+((-2*x^3-34*x^2-16*x+16)*ln(2)+2*x^4+36*x^3+48*x^2)*exp(x)+(-x^2+8)*ln(2)^2+(4*x^3+32*x^2)*ln(2)-3*x^4-32*x^3-11*x^2-8)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{\ln \left(2\right)}{2}-4\right) x^{3}+\left(-\frac{\ln \left(2\right)^{2}}{4}+8 \ln \left(2\right)-\frac{11}{4}\right) x^{2}+\left(4-8 \ln \left(2\right)\right) x \,{\mathrm e}^{x}+\left(8-\frac{\ln \left(2\right)}{2}\right) x^{2} {\mathrm e}^{x}-\frac{x^{4}}{4}-2 \,{\mathrm e}^{2 x}-4 x \,{\mathrm e}^{2 x}+\frac{{\mathrm e}^{x} x^{3}}{2}-4 \,{\mathrm e}^{x} \ln \left(2\right)-\frac{{\mathrm e}^{2 x} x^{2}}{4}-2 \ln \left(2\right)^{2}+2}{x}$&$101$\\ risch&$-\frac{x \ln \left(2\right)^{2}}{4}+\frac{x^{2} \ln \left(2\right)}{2}-\frac{x^{3}}{4}+8 x \ln \left(2\right)-4 x^{2}-\frac{11 x}{4}-\frac{2 \ln \left(2\right)^{2}}{x}+\frac{2}{x}-\frac{\left(x^{2}+16 x +8\right) {\mathrm e}^{2 x}}{4 x}-\frac{\left(x^{2} \ln \left(2\right)-x^{3}+16 x \ln \left(2\right)-16 x^{2}+8 \ln \left(2\right)-8 x \right) {\mathrm e}^{x}}{2 x}$&$101$\\ default&$-4 x^{2}-\frac{11 x}{4}+\frac{2}{x}-\frac{x^{3}}{4}-4 \,{\mathrm e}^{2 x}-\frac{x \ln \left(2\right)^{2}}{4}-\frac{x \,{\mathrm e}^{2 x}}{4}+\frac{x^{2} \ln \left(2\right)}{2}+8 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{x}+\frac{{\mathrm e}^{x} x^{2}}{2}-8 \,{\mathrm e}^{x} \ln \left(2\right)-\frac{2 \,{\mathrm e}^{2 x}}{x}-\frac{2 \ln \left(2\right)^{2}}{x}-\frac{4 \ln \left(2\right) {\mathrm e}^{x}}{x}-\frac{x \ln \left(2\right) {\mathrm e}^{x}}{2}+8 x \ln \left(2\right)$&$108$\\ \hline \end{longtable}"," ",0,"((1/2*ln(2)-4)*x^3+(-1/4*ln(2)^2+8*ln(2)-11/4)*x^2+(4-8*ln(2))*x*exp(x)+(8-1/2*ln(2))*x^2*exp(x)-1/4*x^4-2*exp(x)^2-4*x*exp(x)^2+1/2*exp(x)*x^3-4*exp(x)*ln(2)-1/4*exp(x)^2*x^2-2*ln(2)^2+2)/x","B"
8440,1,32,29,0.044000," ","int(((-x*ln(3)*exp(x)+(-2*x^2+x)*ln(3)+3*x)*ln(x)+(x^3-3*x^2+x+1)*ln(3)*exp(x)+(x^2-x)*ln(3)+3*x^3-3*x)/(x*ln(3)*ln(x)^2+(x*ln(3)*exp(x)+(-x^3+x^2)*ln(3)-3*x^2)*ln(x)+(-x^3+x^2)*ln(3)*exp(x)+3*x^4-3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)+x -x^{2}\right)-\ln \left(\ln \left(x \right)+\frac{\ln \left(3\right) {\mathrm e}^{x}-3 x}{\ln \left(3\right)}\right)$&$32$\\ \hline \end{longtable}"," ",0,"ln(ln(x)+x-x^2)-ln(ln(x)+(ln(3)*exp(x)-3*x)/ln(3))","A"
8441,1,41,33,0.041000," ","int((((24*x^6-144*x^5+192*x^4+48*x^3-216*x^2+96*x)*exp(x)^2+6*x^5-6*x^4-162*x^3+210*x^2+600*x)*ln(x-4)^2-15*x^3+45*x^2-45*x+15)/(x^4-7*x^3+15*x^2-13*x+4)/ln(x-4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{15}{\ln \left(x -4\right)}+12 \,{\mathrm e}^{2 x} x^{2}+3 x^{2}+36 x +\frac{108}{\left(x -1\right)^{2}}+\frac{252}{x -1}$&$41$\\ risch&$\frac{12 \,{\mathrm e}^{2 x} x^{4}-24 \,{\mathrm e}^{2 x} x^{3}+3 x^{4}+12 \,{\mathrm e}^{2 x} x^{2}+30 x^{3}-69 x^{2}+288 x -144}{x^{2}-2 x +1}+\frac{15}{\ln \left(x -4\right)}$&$67$\\ \hline \end{longtable}"," ",0,"15/ln(x-4)+12*exp(x)^2*x^2+3*x^2+36*x+108/(x-1)^2+252/(x-1)","A"
8442,1,19,21,0.035000," ","int(1/9*(-8*ln(2)^2*ln(5)+24*ln(2)^2)*exp(1-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \ln \left(2\right)^{2} \left(\ln \left(5\right)-3\right) {\mathrm e}^{-2 x +2}}{9}$&$19$\\ norman&$\left(\frac{4 \ln \left(2\right)^{2} \ln \left(5\right)}{9}-\frac{4 \ln \left(2\right)^{2}}{3}\right) {\mathrm e}^{-2 x +2}$&$25$\\ derivativedivides&$-\frac{\left(-8 \ln \left(2\right)^{2} \ln \left(5\right)+24 \ln \left(2\right)^{2}\right) {\mathrm e}^{-2 x +2}}{18}$&$26$\\ default&$-\frac{\left(-\frac{8 \ln \left(2\right)^{2} \ln \left(5\right)}{9}+\frac{8 \ln \left(2\right)^{2}}{3}\right) {\mathrm e}^{-2 x +2}}{2}$&$26$\\ risch&$\frac{4 \,{\mathrm e}^{-2 x +2} \ln \left(2\right)^{2} \ln \left(5\right)}{9}-\frac{4 \,{\mathrm e}^{-2 x +2} \ln \left(2\right)^{2}}{3}$&$28$\\ meijerg&$-\frac{4 \,{\mathrm e}^{2 \,{\mathrm e}^{2} x -2 x} \ln \left(2\right)^{2} \ln \left(5\right) \left(1-{\mathrm e}^{-2 \,{\mathrm e}^{2} x}\right)}{9}+\frac{4 \,{\mathrm e}^{2 \,{\mathrm e}^{2} x -2 x} \ln \left(2\right)^{2} \left(1-{\mathrm e}^{-2 \,{\mathrm e}^{2} x}\right)}{3}$&$56$\\ \hline \end{longtable}"," ",0,"4/9*ln(2)^2*(ln(5)-3)*exp(1-x)^2","A"
8443,1,25,19,0.082000," ","int((1024*(-320*x^4-2400*x^3-6000*x^2-5000*x-5)/x^5/exp(16*x^4+160*x^3+600*x^2+1000*x+625)^5+exp(x)*x)*exp(1024/x^5/exp(16*x^4+160*x^3+600*x^2+1000*x+625)^5+exp(x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{5} {\mathrm e}^{x}+1024 \,{\mathrm e}^{-5 \left(5+2 x \right)^{4}}}{x^{5}}}$&$25$\\ \hline \end{longtable}"," ",0,"exp((x^5*exp(x)+1024*exp(-5*(5+2*x)^4))/x^5)","A"
8444,1,18,17,0.048000," ","int((36*x^5*exp(5)*ln(5)-8)/(3*x^6*exp(5)*ln(5)-4*x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(3 x^{6} {\mathrm e}^{5} \ln \left(5\right)-4 x -4\right)$&$18$\\ norman&$2 \ln \left(3 x^{6} {\mathrm e}^{5} \ln \left(5\right)-4 x -4\right)$&$18$\\ risch&$2 \ln \left(3 x^{6} {\mathrm e}^{5} \ln \left(5\right)-4 x -4\right)$&$18$\\ \hline \end{longtable}"," ",0,"2*ln(3*x^6*exp(5)*ln(5)-4*x-4)","A"
8445,1,24,23,0.028000," ","int((-2*ln(x)-exp(x)*x-4*x^2-15*x-2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x^{2}-15 x -2 \ln \left(x \right)-\ln \left(x \right)^{2}-{\mathrm e}^{x}$&$24$\\ norman&$-2 x^{2}-15 x -2 \ln \left(x \right)-\ln \left(x \right)^{2}-{\mathrm e}^{x}$&$24$\\ risch&$-2 x^{2}-15 x -2 \ln \left(x \right)-\ln \left(x \right)^{2}-{\mathrm e}^{x}$&$24$\\ \hline \end{longtable}"," ",0,"-2*x^2-15*x-2*ln(x)-ln(x)^2-exp(x)","A"
8446,1,14,15,0.371000," ","int((90*x^3+2)/(18*x^4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x \right)+\ln \left(18 x^{3}+1\right)$&$14$\\ norman&$2 \ln \left(x \right)+\ln \left(18 x^{3}+1\right)$&$14$\\ risch&$2 \ln \left(x \right)+\ln \left(18 x^{3}+1\right)$&$14$\\ meijerg&$\ln \left(18 x^{3}+1\right)+2 \ln \left(x \right)+\frac{2 \ln \left(2\right)}{3}+\frac{4 \ln \left(3\right)}{3}$&$22$\\ \hline \end{longtable}"," ",0,"2*ln(x)+ln(18*x^3+1)","A"
8447,1,29,15,0.041000," ","int(1/81*(32*exp(x)^2+(-8*x-72)*exp(x)+2*x+16)/ln(3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{16 x -8 \,{\mathrm e}^{x} x -64 \,{\mathrm e}^{x}+x^{2}+16 \,{\mathrm e}^{2 x}}{81 \ln \left(3\right)^{2}}$&$29$\\ risch&$\frac{x^{2}}{81 \ln \left(3\right)^{2}}+\frac{16 \,{\mathrm e}^{2 x}}{81 \ln \left(3\right)^{2}}+\frac{16 x}{81 \ln \left(3\right)^{2}}+\frac{\left(-8 x -64\right) {\mathrm e}^{x}}{81 \ln \left(3\right)^{2}}$&$41$\\ norman&$\frac{\frac{16 x}{81 \ln \left(3\right)}+\frac{x^{2}}{81 \ln \left(3\right)}-\frac{64 \,{\mathrm e}^{x}}{81 \ln \left(3\right)}+\frac{16 \,{\mathrm e}^{2 x}}{81 \ln \left(3\right)}-\frac{8 x \,{\mathrm e}^{x}}{81 \ln \left(3\right)}}{\ln \left(3\right)}$&$50$\\ \hline \end{longtable}"," ",0,"1/81/ln(3)^2*(16*x-8*exp(x)*x-64*exp(x)+x^2+16*exp(x)^2)","A"
8448,1,18,23,0.418000," ","int(((-27*x^2-234*x-507)*exp(x)-288*x-1536)/(9*x^2+78*x+169)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x +\frac{96 \,{\mathrm e}^{-x}}{3 x +13}$&$18$\\ risch&$-3 x +\frac{96 \,{\mathrm e}^{-x}}{3 x +13}$&$18$\\ norman&$\frac{\left(96+169 \,{\mathrm e}^{x}-9 \,{\mathrm e}^{x} x^{2}\right) {\mathrm e}^{-x}}{3 x +13}$&$26$\\ \hline \end{longtable}"," ",0,"-3*x+96*exp(-x)/(3*x+13)","A"
8449,1,31,25,0.379000," ","int(((6*x^6-25*x^5-17*x^4-34*x^3-30*x^2)*ln((x-5)*ln(2)+5*x-25)+1)/(x-5)/ln((x-5)*ln(2)+5*x-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{5}+x^{6}+2 x^{3}+2 x^{4}+\ln \left(\ln \left(\left(x -5\right) \ln \left(2\right)+5 x -25\right)\right)$&$31$\\ risch&$x^{5}+x^{6}+2 x^{3}+2 x^{4}+\ln \left(\ln \left(\left(x -5\right) \ln \left(2\right)+5 x -25\right)\right)$&$31$\\ derivativedivides&$\frac{\frac{219100 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{2} \ln \left(2\right)^{3}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{41880 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{3} \ln \left(2\right)^{2}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{4020 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{4} \ln \left(2\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{5756250 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right) \ln \left(2\right)^{3}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{1643250 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{2} \ln \left(2\right)^{2}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{209400 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{3} \ln \left(2\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{28781250 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right) \ln \left(2\right)^{2}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{575625 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right) \ln \left(2\right)^{4}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{18750 \ln \left(2\right) \ln \left(\ln \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{\ln \left(2\right)^{6} \ln \left(\ln \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{30 \ln \left(2\right)^{5} \ln \left(\ln \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{23025 \ln \left(2\right)^{5} \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{10955 \ln \left(2\right)^{4} \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{2}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{375 \ln \left(2\right)^{4} \ln \left(\ln \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{9375 \ln \left(2\right)^{2} \ln \left(\ln \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{2500 \ln \left(2\right)^{3} \ln \left(\ln \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{2792 \ln \left(2\right)^{3} \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{3}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{402 \ln \left(2\right)^{2} \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{4}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{31 \ln \left(2\right) \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{5}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{5477500 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{2} \ln \left(2\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{71953125 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right) \ln \left(2\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{\left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{6}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{15625 \ln \left(\ln \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{349000 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{3}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{6846875 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{2}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{155 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{5}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{10050 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{4}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{71953125 \left(\ln \left(2\right)+5\right) x -359765625 \ln \left(2\right)-1798828125}{\left(\ln \left(2\right)+5\right)^{5}}}{\ln \left(2\right)+5}$&$683$\\ default&$\frac{\frac{219100 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{2} \ln \left(2\right)^{3}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{41880 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{3} \ln \left(2\right)^{2}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{4020 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{4} \ln \left(2\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{5756250 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right) \ln \left(2\right)^{3}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{1643250 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{2} \ln \left(2\right)^{2}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{209400 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{3} \ln \left(2\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{28781250 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right) \ln \left(2\right)^{2}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{575625 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right) \ln \left(2\right)^{4}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{18750 \ln \left(2\right) \ln \left(\ln \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{\ln \left(2\right)^{6} \ln \left(\ln \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{30 \ln \left(2\right)^{5} \ln \left(\ln \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{23025 \ln \left(2\right)^{5} \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{10955 \ln \left(2\right)^{4} \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{2}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{375 \ln \left(2\right)^{4} \ln \left(\ln \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{9375 \ln \left(2\right)^{2} \ln \left(\ln \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{2500 \ln \left(2\right)^{3} \ln \left(\ln \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{2792 \ln \left(2\right)^{3} \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{3}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{402 \ln \left(2\right)^{2} \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{4}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{31 \ln \left(2\right) \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{5}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{5477500 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{2} \ln \left(2\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{71953125 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right) \ln \left(2\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{\left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{6}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{15625 \ln \left(\ln \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)\right)}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{349000 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{3}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{6846875 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{2}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{155 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{5}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{10050 \left(\left(\ln \left(2\right)+5\right) x -5 \ln \left(2\right)-25\right)^{4}}{\left(\ln \left(2\right)+5\right)^{5}}+\frac{71953125 \left(\ln \left(2\right)+5\right) x -359765625 \ln \left(2\right)-1798828125}{\left(\ln \left(2\right)+5\right)^{5}}}{\ln \left(2\right)+5}$&$683$\\ \hline \end{longtable}"," ",0,"x^5+x^6+2*x^3+2*x^4+ln(ln((x-5)*ln(2)+5*x-25))","A"
8450,1,41,27,1.226000," ","int(((x^2*exp(x)*ln(-2*ln(2))*ln(2*ln(2))^2+4*x^2*exp(x)*ln(-2*ln(2))+(x^2-4*x)*exp(x))*ln((x*ln(-2*ln(2))*ln(2*ln(2))^2+4*x*ln(-2*ln(2))+x-4)/x/ln(-2*ln(2)))+4*exp(x))/(x^2*ln(-2*ln(2))*ln(2*ln(2))^2+4*x^2*ln(-2*ln(2))+x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x} \ln \left(\frac{x \ln \left(-2 \ln \left(2\right)\right) \ln \left(2 \ln \left(2\right)\right)^{2}+4 x \ln \left(-2 \ln \left(2\right)\right)+x -4}{x \ln \left(-2 \ln \left(2\right)\right)}\right)$&$41$\\ norman&${\mathrm e}^{x} \ln \left(\frac{x \ln \left(-2 \ln \left(2\right)\right) \ln \left(2 \ln \left(2\right)\right)^{2}+4 x \ln \left(-2 \ln \left(2\right)\right)+x -4}{x \ln \left(-2 \ln \left(2\right)\right)}\right)$&$41$\\ risch&${\mathrm e}^{x} \ln \left(\left(x \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)^{2}+4 x \right) \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)+i \pi \right)+x -4\right)-{\mathrm e}^{x} \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\left(x \ln \left(2 \ln \left(2\right)\right)^{2}+4 x \right) \ln \left(-2 \ln \left(2\right)\right)+x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(x \ln \left(2 \ln \left(2\right)\right)^{2}+4 x \right) \ln \left(-2 \ln \left(2\right)\right)+x -4\right)}{x}\right) {\mathrm e}^{x}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\left(x \ln \left(2 \ln \left(2\right)\right)^{2}+4 x \right) \ln \left(-2 \ln \left(2\right)\right)+x -4\right)}{x}\right)^{2} {\mathrm e}^{x}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(\left(x \ln \left(2 \ln \left(2\right)\right)^{2}+4 x \right) \ln \left(-2 \ln \left(2\right)\right)+x -4\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(x \ln \left(2 \ln \left(2\right)\right)^{2}+4 x \right) \ln \left(-2 \ln \left(2\right)\right)+x -4\right)}{x}\right)^{2} {\mathrm e}^{x}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(\left(x \ln \left(2 \ln \left(2\right)\right)^{2}+4 x \right) \ln \left(-2 \ln \left(2\right)\right)+x -4\right)}{x}\right) \mathrm{csgn}\left(\frac{i \left(\left(x \ln \left(2 \ln \left(2\right)\right)^{2}+4 x \right) \ln \left(-2 \ln \left(2\right)\right)+x -4\right)}{\ln \left(-2 \ln \left(2\right)\right) x}\right) {\mathrm e}^{x}}{2}+\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(\left(x \ln \left(2 \ln \left(2\right)\right)^{2}+4 x \right) \ln \left(-2 \ln \left(2\right)\right)+x -4\right)}{\ln \left(-2 \ln \left(2\right)\right) x}\right)^{2} {\mathrm e}^{x}}{2}-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(\left(x \ln \left(2 \ln \left(2\right)\right)^{2}+4 x \right) \ln \left(-2 \ln \left(2\right)\right)+x -4\right)}{x}\right)^{3} {\mathrm e}^{x}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(\left(x \ln \left(2 \ln \left(2\right)\right)^{2}+4 x \right) \ln \left(-2 \ln \left(2\right)\right)+x -4\right)}{x}\right) \mathrm{csgn}\left(\frac{i \left(\left(x \ln \left(2 \ln \left(2\right)\right)^{2}+4 x \right) \ln \left(-2 \ln \left(2\right)\right)+x -4\right)}{\ln \left(-2 \ln \left(2\right)\right) x}\right)^{2} {\mathrm e}^{x}}{2}-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(\left(x \ln \left(2 \ln \left(2\right)\right)^{2}+4 x \right) \ln \left(-2 \ln \left(2\right)\right)+x -4\right)}{\ln \left(-2 \ln \left(2\right)\right) x}\right)^{3} {\mathrm e}^{x}}{2}-\ln \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)+i \pi \right) {\mathrm e}^{x}$&$499$\\ \hline \end{longtable}"," ",0,"exp(x)*ln((x*ln(-2*ln(2))*ln(2*ln(2))^2+4*x*ln(-2*ln(2))+x-4)/x/ln(-2*ln(2)))","A"
8451,1,19,20,0.433000," ","int(((6+3*x)*exp(4)*ln((2+x)/exp(-2*x))+(-6*x^2-15*x)*exp(4))/(x^3+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{3 \,{\mathrm e}^{4} \ln \left({\mathrm e}^{2 x} \left(2+x \right)\right)}{x}$&$19$\\ default&$-\frac{3 \,{\mathrm e}^{4} \ln \left({\mathrm e}^{2 x} \left(2+x \right)\right)}{x}+6 \,{\mathrm e}^{4} \ln \left(2 x +4\right)+\frac{15 \,{\mathrm e}^{4} \ln \left(-2 x \right)}{2}-\frac{15 \,{\mathrm e}^{4} \ln \left(-2 x -4\right)}{2}-\frac{15 \,{\mathrm e}^{4} \ln \left(x \right)}{2}+\frac{3 \,{\mathrm e}^{4} \ln \left(2+x \right)}{2}$&$62$\\ risch&$\frac{3 \,{\mathrm e}^{4} \ln \left({\mathrm e}^{-2 x}\right)}{x}-\frac{3 \,{\mathrm e}^{4} \left(-i \pi  \,\mathrm{csgn}\left(i \left(2+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x} \left(2+x \right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(2+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x} \left(2+x \right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x} \left(2+x \right)\right)^{2}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x} \left(2+x \right)\right)^{3}+2 \ln \left(2+x \right)\right)}{2 x}$&$124$\\ \hline \end{longtable}"," ",0,"-3/x*exp(4)*ln((2+x)/exp(-2*x))","A"
8452,1,114,29,0.720000," ","int((((-15*x-8)*exp(4)^4*ln(x)^5+(-192*x^2-96*x)*exp(4)^3*ln(x)^4+((-48*x^2-32*x)*exp(4)^3+(-864*x^3-384*x^2)*exp(4)^2)*ln(x)^3+((-576*x^3-384*x^2)*exp(4)^2+(-1536*x^4-512*x^3)*exp(4))*ln(x)^2+((-2304*x^4-1536*x^3)*exp(4)-768*x^5)*ln(x)-3072*x^5-2048*x^4)*ln(x^2)+(-6*x-4)*exp(4)^4*ln(x)^5+(-96*x^2-64*x)*exp(4)^3*ln(x)^4+(-576*x^3-384*x^2)*exp(4)^2*ln(x)^3+(-1536*x^4-1024*x^3)*exp(4)*ln(x)^2+(-1536*x^5-1024*x^4)*ln(x))/(18*x^7+24*x^6+8*x^5)/ln(x)^5/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{16} \ln \left(x \right)^{4}+16 \,{\mathrm e}^{12} x \ln \left(x \right)^{3}+96 \,{\mathrm e}^{8} x^{2} \ln \left(x \right)^{2}+256 \,{\mathrm e}^{4} x^{3} \ln \left(x \right)+256 x^{4}}{\ln \left(x \right)^{4} \left(-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 \ln \left(x \right)\right) x^{4} \left(3 x +2\right)}$&$114$\\ \hline \end{longtable}"," ",0,"(exp(16)*ln(x)^4+16*exp(12)*x*ln(x)^3+96*exp(8)*x^2*ln(x)^2+256*exp(4)*x^3*ln(x)+256*x^4)/ln(x)^4/(-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3+4*ln(x))/x^4/(3*x+2)","C"
8453,1,22,19,0.034000," ","int(-5/2*x^7*ln(x)^8-5/2*x^7*ln(x)^7+1/2*(2*ln(2)^2+10)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{5 x^{8} \ln \left(x \right)^{8}}{16}+\ln \left(2\right)^{2} {\mathrm e}^{x}+5 \,{\mathrm e}^{x}$&$22$\\ risch&$-\frac{5 x^{8} \ln \left(x \right)^{8}}{16}+\ln \left(2\right)^{2} {\mathrm e}^{x}+5 \,{\mathrm e}^{x}$&$22$\\ \hline \end{longtable}"," ",0,"-5/16*x^8*ln(x)^8+ln(2)^2*exp(x)+5*exp(x)","A"
8454,1,31,19,0.063000," ","int((-16*x*exp(1)+16*x)/(exp(1)^3+(12*x-3)*exp(1)^2+(48*x^2-24*x+3)*exp(1)+64*x^3-48*x^2+12*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(4 \,{\mathrm e}-4\right) x +\frac{{\mathrm e}^{2}}{2}-{\mathrm e}+\frac{1}{2}}{\left({\mathrm e}+4 x -1\right)^{2}}$&$31$\\ gosper&$\frac{\left({\mathrm e}-1\right) \left({\mathrm e}+8 x -1\right)}{2 \,{\mathrm e}^{2}+16 x \,{\mathrm e}+32 x^{2}-4 \,{\mathrm e}-16 x +2}$&$39$\\ risch&$\frac{\left(4 \,{\mathrm e}-4\right) x +\frac{{\mathrm e}^{2}}{2}-{\mathrm e}+\frac{1}{2}}{{\mathrm e}^{2}+8 x \,{\mathrm e}+16 x^{2}-2 \,{\mathrm e}-8 x +1}$&$43$\\ default&$-\frac{4 \left({\mathrm e}-1\right) \left(\munderset{\textit{\_R} =\RootOf \left(64 \textit{\_Z}^{3}+\left(48 \,{\mathrm e}-48\right) \textit{\_Z}^{2}+\left(12 \,{\mathrm e}^{2}-24 \,{\mathrm e}+12\right) \textit{\_Z} +{\mathrm e}^{3}-1-3 \,{\mathrm e}^{2}+3 \,{\mathrm e}\right)}{\sum}\frac{\textit{\_R} \ln \left(x -\textit{\_R} \right)}{1+{\mathrm e}^{2}+8 \textit{\_R} \,{\mathrm e}+16 \textit{\_R}^{2}-2 \,{\mathrm e}-8 \textit{\_R}}\right)}{3}$&$81$\\ \hline \end{longtable}"," ",0,"((4*exp(1)-4)*x+1/2*exp(1)^2-exp(1)+1/2)/(exp(1)+4*x-1)^2","A"
8455,1,34,23,0.382000," ","int(((2*(2*x^3-x^2)*ln(2)+2*x-1)*exp(x+1)^2+(2*(2*x^3-2*x^2)*ln(2)+2*x-2)*exp(x+1)+2*(x^3-x^2)*ln(2)-x-1)/(2*x^4*ln(2)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1+{\mathrm e}^{2 x +2}+2 \,{\mathrm e}^{x +1}}{x}-\ln \left(x \right)+\ln \left(2 x^{2} \ln \left(2\right)+1\right)$&$34$\\ risch&$\frac{1}{x}-\ln \left(x \right)+\ln \left(-2 x^{2} \ln \left(2\right)-1\right)+\frac{{\mathrm e}^{2 x +2}}{x}+\frac{2 \,{\mathrm e}^{x +1}}{x}$&$38$\\ derivativedivides&$\frac{{\mathrm e}^{2 x +2}}{x}-\ln \left(x \right)+\frac{2 \,{\mathrm e}^{x +1}}{x}+\frac{1}{x}+\ln \left(2 \ln \left(2\right) \left(x +1\right)^{2}-4 \ln \left(2\right) \left(x +1\right)+2 \ln \left(2\right)+1\right)$&$51$\\ default&$\frac{{\mathrm e}^{2 x +2}}{x}-\ln \left(x \right)+\frac{2 \,{\mathrm e}^{x +1}}{x}+\frac{1}{x}+\ln \left(2 \ln \left(2\right) \left(x +1\right)^{2}-4 \ln \left(2\right) \left(x +1\right)+2 \ln \left(2\right)+1\right)$&$51$\\ \hline \end{longtable}"," ",0,"(1+exp(x+1)^2+2*exp(x+1))/x-ln(x)+ln(2*x^2*ln(2)+1)","A"
8456,1,14,15,0.030000," ","int(1/4*(ln(2)^2-4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\frac{\ln \left(2\right)^{2}}{4 x}$&$14$\\ risch&$-x -\frac{\ln \left(2\right)^{2}}{4 x}$&$14$\\ gosper&$-\frac{\ln \left(2\right)^{2}+4 x^{2}}{4 x}$&$16$\\ \hline \end{longtable}"," ",0,"-x-1/4*ln(2)^2/x","A"
8457,1,22,17,0.033000," ","int((-2*ln(1/2*exp(2))+(-2*x-2)*exp(3))/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x^{2}-2 \left({\mathrm e}^{3}-\ln \left(2\right)+2\right) {\mathrm e}^{-3} x$&$22$\\ risch&$-x^{2}-2 x +2 \,{\mathrm e}^{-3} \ln \left(2\right) x -4 x \,{\mathrm e}^{-3}$&$22$\\ gosper&$-x \left(x \,{\mathrm e}^{3}+2 \,{\mathrm e}^{3}+2 \ln \left(\frac{{\mathrm e}^{2}}{2}\right)\right) {\mathrm e}^{-3}$&$24$\\ default&${\mathrm e}^{-3} \left(-2 \ln \left(\frac{{\mathrm e}^{2}}{2}\right) x +{\mathrm e}^{3} \left(-x^{2}-2 x \right)\right)$&$27$\\ \hline \end{longtable}"," ",0,"-x^2-2*(exp(3)-ln(2)+2)/exp(3)*x","A"
8458,1,21,27,0.050000," ","int(((5*x^3+7*x^2+6*x)*exp(5*x)*ln(1/x)+(x^2+x+1)*exp(5*x))/x/ln(5)/ln(1/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x^{2}+x +1\right) {\mathrm e}^{5 x}}{\ln \left(5\right) \ln \left(x \right)}$&$21$\\ \hline \end{longtable}"," ",0,"-1/ln(5)*(x^2+x+1)*exp(5*x)/ln(x)","A"
8459,1,37,37,0.119000," ","int(((-x^5+x^4+4*x^3-4*x^2-4*x+4)*ln(5)^2-x^5-x^4+4*x^3+2*x^2-8*x)/(x^4-4*x^2+4)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-x}+\left(x +1\right) {\mathrm e}^{-x}+\frac{2 \,{\mathrm e}^{-x}}{x^{2}-2}+\ln \left(5\right)^{2} {\mathrm e}^{-x} x$&$37$\\ norman&$\frac{\left(-2+\left(-2 \ln \left(5\right)^{2}-2\right) x +\left(\ln \left(5\right)^{2}+1\right) x^{3}+2 x^{2}\right) {\mathrm e}^{-x}}{x^{2}-2}$&$40$\\ gosper&$\frac{\left(x^{3} \ln \left(5\right)^{2}-2 x \ln \left(5\right)^{2}+x^{3}+2 x^{2}-2 x -2\right) {\mathrm e}^{-x}}{x^{2}-2}$&$41$\\ risch&$\frac{\left(x^{3} \ln \left(5\right)^{2}-2 x \ln \left(5\right)^{2}+x^{3}+2 x^{2}-2 x -2\right) {\mathrm e}^{-x}}{x^{2}-2}$&$41$\\ \hline \end{longtable}"," ",0,"exp(-x)+(x+1)*exp(-x)+2*exp(-x)/(x^2-2)+ln(5)^2*exp(-x)*x","A"
8460,1,18,17,0.039000," ","int(1/20*((-2*x^2-7*x)*exp(1/4*x)*ln(1/5*x*ln(5))+(-8*x+4)*exp(1/4*x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{\frac{x}{4}} \left(2 x -1\right) \ln \left(\frac{x \ln \left(5\right)}{5}\right)}{5}$&$18$\\ norman&$\frac{{\mathrm e}^{\frac{x}{4}} \ln \left(\frac{x \ln \left(5\right)}{5}\right)}{5}-\frac{2 x \,{\mathrm e}^{\frac{x}{4}} \ln \left(\frac{x \ln \left(5\right)}{5}\right)}{5}$&$27$\\ \hline \end{longtable}"," ",0,"-1/5*exp(1/4*x)*(2*x-1)*ln(1/5*x*ln(5))","A"
8461,1,8,9,0.057000," ","int(1/16*(-25*x+25)*exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{25 \,{\mathrm e}^{x}}{16 x}$&$8$\\ default&$-\frac{25 \,{\mathrm e}^{x}}{16 x}$&$8$\\ norman&$-\frac{25 \,{\mathrm e}^{x}}{16 x}$&$8$\\ risch&$-\frac{25 \,{\mathrm e}^{x}}{16 x}$&$8$\\ meijerg&$-\frac{25}{16 x}-\frac{25}{16}+\frac{\frac{25 x}{16}+\frac{25}{16}}{x}-\frac{25 \,{\mathrm e}^{x}}{16 x}$&$25$\\ \hline \end{longtable}"," ",0,"-25/16*exp(x)/x","A"
8462,1,24,18,0.088000," ","int(((x^10+32*x^5+80*x^4+256)*ln(x)+x^10+x^9+32*x^5+16*x^4+256)/(x^11+x^10+32*x^6+16*x^5+256*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x^{5}+16\right)+\ln \left(x^{6}+x^{5}+16 x \right)+\ln \left(\ln \left(x \right)\right)$&$24$\\ default&$\ln \left(\ln \left(x \right)\right)+\ln \left(x \right)+\ln \left(x^{4}-x^{3}+2 x^{2}-4 x +8\right)-\ln \left(x^{5}+16\right)+\ln \left(2+x \right)$&$38$\\ norman&$\ln \left(\ln \left(x \right)\right)+\ln \left(x \right)+\ln \left(x^{4}-x^{3}+2 x^{2}-4 x +8\right)-\ln \left(x^{5}+16\right)+\ln \left(2+x \right)$&$38$\\ \hline \end{longtable}"," ",0,"-ln(x^5+16)+ln(x^6+x^5+16*x)+ln(ln(x))","A"
8463,1,40,18,0.029000," ","int(36*x^2*ln(x)^2+(192*x^3+816*x^2)*ln(x)+240*x^4+2160*x^3+4620*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$48 x^{4} \ln \left(x \right)+528 x^{4}+264 x^{3} \ln \left(x \right)+1452 x^{3}+48 x^{5}+12 x^{3} \ln \left(x \right)^{2}$&$40$\\ norman&$48 x^{4} \ln \left(x \right)+528 x^{4}+264 x^{3} \ln \left(x \right)+1452 x^{3}+48 x^{5}+12 x^{3} \ln \left(x \right)^{2}$&$40$\\ risch&$48 x^{4} \ln \left(x \right)+528 x^{4}+264 x^{3} \ln \left(x \right)+1452 x^{3}+48 x^{5}+12 x^{3} \ln \left(x \right)^{2}$&$40$\\ \hline \end{longtable}"," ",0,"48*x^4*ln(x)+528*x^4+264*x^3*ln(x)+1452*x^3+48*x^5+12*x^3*ln(x)^2","B"
8464,1,14,13,0.031000," ","int(8*x^3*exp(exp(exp(25)))/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 x^{4} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{25}}}}{\ln \left(2\right)}$&$14$\\ default&$\frac{2 x^{4} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{25}}}}{\ln \left(2\right)}$&$14$\\ norman&$\frac{2 x^{4} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{25}}}}{\ln \left(2\right)}$&$14$\\ risch&$\frac{2 x^{4} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{25}}}}{\ln \left(2\right)}$&$14$\\ \hline \end{longtable}"," ",0,"2*x^4*exp(exp(exp(25)))/ln(2)","A"
8465,1,25,20,0.059000," ","int((((-2*x^2+10*x-10)*exp(x)+100)*ln(25*x)+(2*x-10)*exp(x)-20*x+100)/x^2/ln(25*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-100+20 x -2 \,{\mathrm e}^{x} x +10 \,{\mathrm e}^{x}}{x \ln \left(25 x \right)}$&$25$\\ risch&$-\frac{2 \left({\mathrm e}^{x} x -10 x -5 \,{\mathrm e}^{x}+50\right)}{x \ln \left(25 x \right)}$&$25$\\ default&$\frac{-2 \,{\mathrm e}^{x} x +10 \,{\mathrm e}^{x}}{\ln \left(25 x \right) x}+\frac{20}{\ln \left(25 x \right)}-\frac{100}{x \ln \left(25 x \right)}$&$41$\\ \hline \end{longtable}"," ",0,"(-100+20*x-2*exp(x)*x+10*exp(x))/x/ln(25*x)","A"
8466,1,14,25,0.021000," ","int((-x^4-22*x^2-50*x-121)/(x^4+22*x^2+121),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\frac{25}{x^{2}+11}$&$14$\\ risch&$-x +\frac{25}{x^{2}+11}$&$14$\\ gosper&$-\frac{x^{3}+11 x -25}{x^{2}+11}$&$18$\\ \hline \end{longtable}"," ",0,"-x+25/(x^2+11)","A"
8467,1,21,19,0.057000," ","int(((x^2+x-3)*exp(x)+x^2*exp(4)-3*x^2)/(x^4+6*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(3-{\mathrm e}^{4}\right) x +{\mathrm e}^{x}}{\left(3+x \right) x}$&$21$\\ risch&$-\frac{{\mathrm e}^{4}}{3+x}+\frac{3}{3+x}+\frac{{\mathrm e}^{x}}{\left(3+x \right) x}$&$29$\\ default&$-\frac{{\mathrm e}^{4}}{3+x}-\frac{{\mathrm e}^{x}}{3 \left(3+x \right)}+\frac{3}{3+x}+\frac{{\mathrm e}^{x}}{3 x}$&$34$\\ \hline \end{longtable}"," ",0,"((3-exp(4))*x+exp(x))/(3+x)/x","A"
8468,1,116,18,0.453000," ","int(((-2*x^3+8*x)*ln(x^2-4)*ln(x*ln(x^2-4))^2+(-10*x^2+40)*ln(x^2-4)-20*x^2)/(x^3-4*x)/ln(x^2-4)/ln(x*ln(x^2-4))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x +\frac{20 i}{\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x^{2}-4\right)\right) \mathrm{csgn}\left(i x \ln \left(x^{2}-4\right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x^{2}-4\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \ln \left(x^{2}-4\right)\right) \mathrm{csgn}\left(i x \ln \left(x^{2}-4\right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \ln \left(x^{2}-4\right)\right)^{3}+2 i \ln \left(x \right)+2 i \ln \left(\ln \left(x^{2}-4\right)\right)}$&$116$\\ \hline \end{longtable}"," ",0,"-2*x+20*I/(Pi*csgn(I*x)*csgn(I*ln(x^2-4))*csgn(I*x*ln(x^2-4))-Pi*csgn(I*x)*csgn(I*x*ln(x^2-4))^2-Pi*csgn(I*ln(x^2-4))*csgn(I*x*ln(x^2-4))^2+Pi*csgn(I*x*ln(x^2-4))^3+2*I*ln(x)+2*I*ln(ln(x^2-4)))","C"
8469,1,65,24,0.122000," ","int(1/9*((4*x^2-4)*ln(5)^2*ln(x)*ln(ln(x))^2+((-24*x^3-24*x^2)*ln(5)*ln(x)+(8*x^2+16*x+8)*ln(5)^2)*ln(ln(x))+(27*x^4+36*x^3+9*x^2)*ln(x)+(-12*x^3-24*x^2-12*x)*ln(5))/x^2/exp(5)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-5} \ln \left(5\right)^{2} \left(x^{2}+2 x +1\right) \ln \left(\ln \left(x \right)\right)^{2}}{9 x}-\frac{4 \,{\mathrm e}^{-5} \ln \left(5\right) x \left(2+x \right) \ln \left(\ln \left(x \right)\right)}{3}+x^{3} {\mathrm e}^{-5}+2 x^{2} {\mathrm e}^{-5}+x \,{\mathrm e}^{-5}-\frac{4 \,{\mathrm e}^{-5} \ln \left(\ln \left(x \right)\right) \ln \left(5\right)}{3}$&$65$\\ \hline \end{longtable}"," ",0,"4/9*exp(-5)*ln(5)^2*(x^2+2*x+1)/x*ln(ln(x))^2-4/3*exp(-5)*ln(5)*x*(2+x)*ln(ln(x))+x^3*exp(-5)+2*x^2*exp(-5)+x*exp(-5)-4/3*exp(-5)*ln(ln(x))*ln(5)","B"
8470,1,9,9,0.008000," ","int(12*exp(16)-108,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(12 \,{\mathrm e}^{16}-108\right) x$&$9$\\ norman&$\left(12 \,{\mathrm e}^{16}-108\right) x$&$9$\\ risch&$12 x \,{\mathrm e}^{16}-108 x$&$10$\\ \hline \end{longtable}"," ",0,"(12*exp(16)-108)*x","A"
8471,1,18,16,0.020000," ","int(1/3*(6*exp(4)*ln(5)-10)/exp(4)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{-4} x \,{\mathrm e}^{4}-\frac{10 \,{\mathrm e}^{-4} x}{3 \ln \left(5\right)}$&$18$\\ default&$\frac{\left(6 \,{\mathrm e}^{4} \ln \left(5\right)-10\right) {\mathrm e}^{-4} x}{3 \ln \left(5\right)}$&$20$\\ norman&$\frac{2 \left(3 \,{\mathrm e}^{4} \ln \left(5\right)-5\right) {\mathrm e}^{-4} x}{3 \ln \left(5\right)}$&$20$\\ \hline \end{longtable}"," ",0,"2*exp(-4)*x*exp(4)-10/3*exp(-4)/ln(5)*x","A"
8472,1,13,14,0.025000," ","int((-32*ln(x)+32)*exp((ln(x)-5*x)/x)^2*exp(16*exp((ln(x)-5*x)/x)^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{16 x^{\frac{2}{x}} {\mathrm e}^{-10}}$&$13$\\ \hline \end{longtable}"," ",0,"exp(16*(x^(1/x))^2*exp(-10))","A"
8473,1,25,24,0.361000," ","int((-400*exp(2)^2-800*exp(2)-400)/(x^2-16*x)/ln(1/4*(16-x)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{400 \,{\mathrm e}^{4}+800 \,{\mathrm e}^{2}+400}{16 \ln \left(-\frac{1}{4}+\frac{4}{x}\right)}$&$25$\\ default&$-\frac{-400 \,{\mathrm e}^{4}-800 \,{\mathrm e}^{2}-400}{16 \ln \left(-\frac{1}{4}+\frac{4}{x}\right)}$&$25$\\ norman&$\frac{25 \,{\mathrm e}^{4}+50 \,{\mathrm e}^{2}+25}{\ln \left(\frac{16-x}{4 x}\right)}$&$27$\\ risch&$\frac{25 \,{\mathrm e}^{4}}{\ln \left(\frac{16-x}{4 x}\right)}+\frac{50 \,{\mathrm e}^{2}}{\ln \left(\frac{16-x}{4 x}\right)}+\frac{25}{\ln \left(\frac{16-x}{4 x}\right)}$&$51$\\ \hline \end{longtable}"," ",0,"1/16*(400*exp(2)^2+800*exp(2)+400)/ln(-1/4+4/x)","A"
8474,1,21,26,0.024000," ","int((-x^4-10*x^3+53*x^2+16*x-16)/(x^4+10*x^3+27*x^2+10*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x^{3}+56 x +8}{x^{2}+5 x +1}$&$21$\\ default&$-x +\frac{-80 x -13}{x^{2}+5 x +1}$&$21$\\ risch&$-x +\frac{-80 x -13}{x^{2}+5 x +1}$&$21$\\ norman&$\frac{-x^{3}-56 x -8}{x^{2}+5 x +1}$&$22$\\ \hline \end{longtable}"," ",0,"-(x^3+56*x+8)/(x^2+5*x+1)","A"
8475,1,17,23,0.104000," ","int((-exp(2)^4+2*x-25)*exp((12-x)/exp(2*x/(exp(2)^4+1)))/(exp(2)^4+1)/exp(2*x/(exp(2)^4+1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\left(x -12\right) {\mathrm e}^{-\frac{2 x}{{\mathrm e}^{8}+1}}}$&$17$\\ norman&${\mathrm e}^{\left(12-x \right) {\mathrm e}^{-\frac{2 x}{{\mathrm e}^{8}+1}}}$&$22$\\ \hline \end{longtable}"," ",0,"exp(-(x-12)*exp(-2*x/(exp(8)+1)))","A"
8476,1,93,28,0.381000," ","int((((2-x)*exp(5+x)^2*ln(2-x)^2+2*x*exp(5+x)^2*ln(2-x)+(9*x^3-12*x^2)*exp(5+x)^2)*ln(x)^3+((-96*x^2+96*x+192)*exp(5+x)*ln(2-x)+(-288*x^3+576*x^2+96*x)*exp(5+x))*ln(x)^2+((-96*x+192)*exp(5+x)*ln(2-x)+(-288*x^2+576*x)*exp(5+x)-4608*x^2+6912*x+4608)*ln(x)-4608*x+9216)/(x^3-2*x^2)/exp(5+x)^2/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(2-x \right)^{2}}{x}+\frac{96 \,{\mathrm e}^{-x -5} \ln \left(2-x \right)}{x \ln \left(x \right)}+\frac{3 \left(2 \ln \left(x -2\right) x \,{\mathrm e}^{2 x +10} \ln \left(x \right)^{2}+3 \ln \left(x \right)^{2} x^{2} {\mathrm e}^{2 x +10}+96 \ln \left(x \right) {\mathrm e}^{5+x} x +768\right) {\mathrm e}^{-2 x -10}}{x \ln \left(x \right)^{2}}$&$93$\\ \hline \end{longtable}"," ",0,"1/x*ln(2-x)^2+96/x*exp(-x-5)/ln(x)*ln(2-x)+3*(2*ln(x-2)*x*exp(2*x+10)*ln(x)^2+3*ln(x)^2*x^2*exp(2*x+10)+96*ln(x)*exp(5+x)*x+768)/x*exp(-2*x-10)/ln(x)^2","B"
8477,1,18,21,0.040000," ","int(1/243*((-4*x^2+100)*exp(25)+16*x^2-400)/(25*x^4+700*x^3+6150*x^2+17500*x+15625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 x \left({\mathrm e}^{25}-4\right)}{6075 \left(x^{2}+14 x +25\right)}$&$18$\\ norman&$\frac{\left(-\frac{16}{6075}+\frac{4 \,{\mathrm e}^{25}}{6075}\right) x}{x^{2}+14 x +25}$&$19$\\ default&$\frac{\left(4 \,{\mathrm e}^{25}-16\right) x}{6075 x^{2}+85050 x +151875}$&$20$\\ risch&$\frac{x \left(\frac{4 \,{\mathrm e}^{25}}{25}-\frac{16}{25}\right)}{243 x^{2}+3402 x +6075}$&$20$\\ \hline \end{longtable}"," ",0,"4/6075*x*(exp(25)-4)/(x^2+14*x+25)","A"
8478,1,201,15,0.152000," ","int((x*exp(x)*exp(exp(x))+3*x-4)/(x*exp(exp(x))-x*ln(x^4)+3*x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{{\mathrm e}^{x}}+\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{3}\right)^{3}-\pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{4}\right)^{3}-6 i x +8 i \ln \left(x \right)+6 i\right)}{2}\right)$&$201$\\ \hline \end{longtable}"," ",0,"ln(exp(exp(x))+1/2*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)-Pi*csgn(I*x)*csgn(I*x^4)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2+Pi*csgn(I*x^3)^3-Pi*csgn(I*x^3)*csgn(I*x^4)^2+Pi*csgn(I*x^4)^3-6*I*x+8*I*ln(x)+6*I))","C"
8479,1,8,9,0.023000," ","int(9*exp(9*x)*exp(exp(9*x)-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{{\mathrm e}^{9 x}-4}$&$8$\\ default&${\mathrm e}^{{\mathrm e}^{9 x}-4}$&$8$\\ norman&${\mathrm e}^{{\mathrm e}^{9 x}-4}$&$8$\\ risch&${\mathrm e}^{{\mathrm e}^{9 x}-4}$&$8$\\ \hline \end{longtable}"," ",0,"exp(exp(9*x)-4)","A"
8480,1,59,33,0.084000," ","int(((-4*x^8-35*x^7-99*x^6-41*x^5+287*x^4+450*x^3-10*x^2-425*x-225)*exp(1)*exp(x)^2+(-12*x^9-108*x^8-324*x^7-144*x^6+1080*x^5+1620*x^4-900*x^3-2700*x^2+1500)*exp(1))/((2*x^7+18*x^6+54*x^5+54*x^4)*exp(x)^6+(24*x^9+216*x^8+648*x^7+528*x^6-720*x^5-1080*x^4)*exp(x)^4+(96*x^11+864*x^10+2592*x^9+1632*x^8-5760*x^7-8640*x^6+2400*x^5+7200*x^4)*exp(x)^2+128*x^13+1152*x^12+3456*x^11+1536*x^10-11520*x^9-17280*x^8+9600*x^7+28800*x^6-16000*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e} \left(x^{6}+6 x^{5}+9 x^{4}-10 x^{3}-30 x^{2}+25\right)}{2 x^{3} \left(x \,{\mathrm e}^{2 x}+4 x^{3}+3 \,{\mathrm e}^{2 x}+12 x^{2}-20\right)^{2}}$&$59$\\ \hline \end{longtable}"," ",0,"1/2*exp(1)*(x^6+6*x^5+9*x^4-10*x^3-30*x^2+25)/x^3/(x*exp(2*x)+4*x^3+3*exp(2*x)+12*x^2-20)^2","A"
8481,1,15,14,0.052000," ","int(1/3125*(-16*x*exp(8/5*x)-5)*exp(exp(8/5*x))^2+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -\frac{{\mathrm e}^{2 \,{\mathrm e}^{\frac{8 x}{5}}} x}{625}$&$15$\\ norman&$2 x -\frac{{\mathrm e}^{2 \,{\mathrm e}^{\frac{8 x}{5}}} x}{625}$&$15$\\ risch&$2 x -\frac{{\mathrm e}^{2 \,{\mathrm e}^{\frac{8 x}{5}}} x}{625}$&$15$\\ \hline \end{longtable}"," ",0,"2*x-1/625*exp(exp(8/5*x))^2*x","A"
8482,0,0,26,0.108000," ","int((((-10*x*exp(3)-50)*exp((x^2*exp(3)^2+10*x*exp(3)+25)/x^2)*ln(x)+x^2*exp((x^2*exp(3)^2+10*x*exp(3)+25)/x^2)-x^3)*exp(1/3*ln(exp((x^2*exp(3)^2+10*x*exp(3)+25)/x^2)*ln(x)-x)-5/3)+3*x^3*exp((x^2*exp(3)^2+10*x*exp(3)+25)/x^2)*ln(x)-3*x^4)/(3*x^3*exp((x^2*exp(3)^2+10*x*exp(3)+25)/x^2)*ln(x)-3*x^4),x)","\[\int \frac{\left(\left(-10 x \,{\mathrm e}^{3}-50\right) {\mathrm e}^{\frac{x^{2} {\mathrm e}^{6}+10 x \,{\mathrm e}^{3}+25}{x^{2}}} \ln \left(x \right)+x^{2} {\mathrm e}^{\frac{x^{2} {\mathrm e}^{6}+10 x \,{\mathrm e}^{3}+25}{x^{2}}}-x^{3}\right) {\mathrm e}^{\frac{\ln \left({\mathrm e}^{\frac{x^{2} {\mathrm e}^{6}+10 x \,{\mathrm e}^{3}+25}{x^{2}}} \ln \left(x \right)-x \right)}{3}-\frac{5}{3}}+3 x^{3} {\mathrm e}^{\frac{x^{2} {\mathrm e}^{6}+10 x \,{\mathrm e}^{3}+25}{x^{2}}} \ln \left(x \right)-3 x^{4}}{3 x^{3} {\mathrm e}^{\frac{x^{2} {\mathrm e}^{6}+10 x \,{\mathrm e}^{3}+25}{x^{2}}} \ln \left(x \right)-3 x^{4}}\, dx\]"," ",0,"int((((-10*x*exp(3)-50)*exp((x^2*exp(3)^2+10*x*exp(3)+25)/x^2)*ln(x)+x^2*exp((x^2*exp(3)^2+10*x*exp(3)+25)/x^2)-x^3)*exp(1/3*ln(exp((x^2*exp(3)^2+10*x*exp(3)+25)/x^2)*ln(x)-x)-5/3)+3*x^3*exp((x^2*exp(3)^2+10*x*exp(3)+25)/x^2)*ln(x)-3*x^4)/(3*x^3*exp((x^2*exp(3)^2+10*x*exp(3)+25)/x^2)*ln(x)-3*x^4),x)","F"
8483,1,36,23,0.052000," ","int(1/5*(-4*x^3-3*x^2-4)*exp(x)^4+1/5*(3*x^4-11*x^3-15*x^2+3*x-14)*exp(x)^3-6/5*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-x^{3}-1\right) {\mathrm e}^{4 x}}{5}+\frac{\left(x^{4}-5 x^{3}+x -5\right) {\mathrm e}^{3 x}}{5}-\frac{6 \,{\mathrm e}^{x}}{5}$&$36$\\ default&$-\frac{{\mathrm e}^{4 x}}{5}-\frac{x^{3} {\mathrm e}^{4 x}}{5}-{\mathrm e}^{3 x}+\frac{x \,{\mathrm e}^{3 x}}{5}-x^{3} {\mathrm e}^{3 x}+\frac{x^{4} {\mathrm e}^{3 x}}{5}-\frac{6 \,{\mathrm e}^{x}}{5}$&$52$\\ norman&$-\frac{{\mathrm e}^{4 x}}{5}-\frac{x^{3} {\mathrm e}^{4 x}}{5}-{\mathrm e}^{3 x}+\frac{x \,{\mathrm e}^{3 x}}{5}-x^{3} {\mathrm e}^{3 x}+\frac{x^{4} {\mathrm e}^{3 x}}{5}-\frac{6 \,{\mathrm e}^{x}}{5}$&$52$\\ meijerg&$\frac{12}{5}-\frac{{\mathrm e}^{4 x}}{5}+\frac{\left(-256 x^{3}+192 x^{2}-96 x +24\right) {\mathrm e}^{4 x}}{1280}-\frac{\left(48 x^{2}-24 x +6\right) {\mathrm e}^{4 x}}{320}-\frac{14 \,{\mathrm e}^{3 x}}{15}+\frac{\left(405 x^{4}-540 x^{3}+540 x^{2}-360 x +120\right) {\mathrm e}^{3 x}}{2025}+\frac{11 \left(-108 x^{3}+108 x^{2}-72 x +24\right) {\mathrm e}^{3 x}}{1620}-\frac{\left(27 x^{2}-18 x +6\right) {\mathrm e}^{3 x}}{27}-\frac{\left(-6 x +2\right) {\mathrm e}^{3 x}}{30}-\frac{6 \,{\mathrm e}^{x}}{5}$&$130$\\ \hline \end{longtable}"," ",0,"1/5*(-x^3-1)*exp(4*x)+1/5*(x^4-5*x^3+x-5)*exp(3*x)-6/5*exp(x)","A"
8484,1,329,30,0.578000," ","int(((((4+x)*ln(x^4*exp(x)^4)+2*x-5)*ln((4+x)*ln(x^4*exp(x)^4)+2*x-5)+(-x^2-4*x)*ln(x^4*exp(x)^4)-2*x^2+5*x)*ln(-ln((4+x)*ln(x^4*exp(x)^4)+2*x-5)+x)+(x^2+3*x)*ln(x^4*exp(x)^4)-2*x^2-27*x-16)/(((4+x)*ln(x^4*exp(x)^4)+2*x-5)*ln((4+x)*ln(x^4*exp(x)^4)+2*x-5)+(-x^2-4*x)*ln(x^4*exp(x)^4)-2*x^2+5*x)/ln(-ln((4+x)*ln(x^4*exp(x)^4)+2*x-5)+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{\ln \left(-\ln \left(\left(4+x \right) \left(4 \ln \left(x \right)+4 \ln \left({\mathrm e}^{x}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{4 x}\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{3 x}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{x}\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(i x^{3}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{4}\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x^{3}\right)\right) \left(-\mathrm{csgn}\left(i x^{4}\right)+\mathrm{csgn}\left(i x \right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{4} {\mathrm e}^{4 x}\right) \left(-\mathrm{csgn}\left(i x^{4} {\mathrm e}^{4 x}\right)+\mathrm{csgn}\left(i x^{4}\right)\right) \left(-\mathrm{csgn}\left(i x^{4} {\mathrm e}^{4 x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{4 x}\right)\right)}{2}\right)+2 x -5\right)+x \right)}$&$329$\\ \hline \end{longtable}"," ",0,"x/ln(-ln((4+x)*(4*ln(x)+4*ln(exp(x))-1/2*I*Pi*csgn(I*exp(2*x))*(-csgn(I*exp(2*x))+csgn(I*exp(x)))^2-1/2*I*Pi*csgn(I*exp(3*x))*(-csgn(I*exp(3*x))+csgn(I*exp(2*x)))*(-csgn(I*exp(3*x))+csgn(I*exp(x)))-1/2*I*Pi*csgn(I*exp(4*x))*(-csgn(I*exp(4*x))+csgn(I*exp(3*x)))*(-csgn(I*exp(4*x))+csgn(I*exp(x)))-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2-1/2*I*Pi*csgn(I*x^3)*(-csgn(I*x^3)+csgn(I*x^2))*(-csgn(I*x^3)+csgn(I*x))-1/2*I*Pi*csgn(I*x^4)*(-csgn(I*x^4)+csgn(I*x^3))*(-csgn(I*x^4)+csgn(I*x))-1/2*I*Pi*csgn(I*x^4*exp(4*x))*(-csgn(I*x^4*exp(4*x))+csgn(I*x^4))*(-csgn(I*x^4*exp(4*x))+csgn(I*exp(4*x))))+2*x-5)+x)","C"
8485,1,29,23,0.259000," ","int(((16*x-24)*exp(x^2-6)^2+(-4*x^4+12*x^3+6*x^2+244*x-384)*exp(x^2-6)+48*x^2+928*x-1536)*exp(((8*x^2-24*x)*exp(x^2-6)+2*x^3+58*x^2-192*x)/(exp(x^2-6)+8))/(exp(x^2-6)^2+16*exp(x^2-6)+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 x \left(x -3\right) \left(x +4 \,{\mathrm e}^{x^{2}-6}+32\right)}{{\mathrm e}^{x^{2}-6}+8}}$&$29$\\ norman&$\frac{{\mathrm e}^{x^{2}-6} {\mathrm e}^{\frac{\left(8 x^{2}-24 x \right) {\mathrm e}^{x^{2}-6}+2 x^{3}+58 x^{2}-192 x}{{\mathrm e}^{x^{2}-6}+8}}+8 \,{\mathrm e}^{\frac{\left(8 x^{2}-24 x \right) {\mathrm e}^{x^{2}-6}+2 x^{3}+58 x^{2}-192 x}{{\mathrm e}^{x^{2}-6}+8}}}{{\mathrm e}^{x^{2}-6}+8}$&$106$\\ \hline \end{longtable}"," ",0,"exp(2*x*(x-3)*(x+4*exp(x^2-6)+32)/(exp(x^2-6)+8))","A"
8486,1,13,12,0.418000," ","int(((3*x-16)*exp(3/4*x)-52)/(4*x^2-32*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{\frac{3 x}{4}}+13}{x -4}$&$13$\\ risch&$\frac{13}{x -4}+\frac{{\mathrm e}^{\frac{3 x}{4}}}{x -4}$&$19$\\ derivativedivides&$\frac{39}{4 \left(\frac{3 x}{4}-3\right)}+\frac{3 \,{\mathrm e}^{\frac{3 x}{4}}}{4 \left(\frac{3 x}{4}-3\right)}$&$24$\\ default&$\frac{39}{4 \left(\frac{3 x}{4}-3\right)}+\frac{3 \,{\mathrm e}^{\frac{3 x}{4}}}{4 \left(\frac{3 x}{4}-3\right)}$&$24$\\ \hline \end{longtable}"," ",0,"(exp(3/4*x)+13)/(x-4)","A"
8487,1,65,25,0.058000," ","int((-x*exp(x)*ln(x)^3+((-2*x^2-2*x-1)*exp(x)+4)*ln(x)^2+((-x^3-6*x^2+5*x+2)*exp(x)+9*x-8)*ln(x)+(-4*x^3+7*x^2-2*x-1)*exp(x)+4*x^2-10*x+4)/((exp(x)*x-4*x)*ln(x)^3+((2*x^2+2*x)*exp(x)-8*x^2+8*x)*ln(x)^2+((x^3+6*x^2-7*x)*exp(x)-4*x^3+7*x^2-4*x)*ln(x)+(4*x^3-8*x^2+4*x)*exp(x)-x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left({\mathrm e}^{x}-4\right)+\ln \left(-1+\ln \left(x \right)+x \right)-\ln \left(\ln \left(x \right)^{2}+\frac{\left({\mathrm e}^{x} x -4 x +3 \,{\mathrm e}^{x}+4\right) \ln \left(x \right)}{{\mathrm e}^{x}-4}+\frac{4 \,{\mathrm e}^{x} x -x -4 \,{\mathrm e}^{x}}{{\mathrm e}^{x}-4}\right)$&$65$\\ \hline \end{longtable}"," ",0,"-ln(exp(x)-4)+ln(-1+ln(x)+x)-ln(ln(x)^2+(exp(x)*x-4*x+3*exp(x)+4)/(exp(x)-4)*ln(x)+(4*exp(x)*x-x-4*exp(x))/(exp(x)-4))","B"
8488,1,9,9,0.017000," ","int(-3*exp(x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -3 \,{\mathrm e}^{x}$&$9$\\ norman&$-x -3 \,{\mathrm e}^{x}$&$9$\\ risch&$-x -3 \,{\mathrm e}^{x}$&$9$\\ derivativedivides&$-3 \,{\mathrm e}^{x}-\ln \left({\mathrm e}^{x}\right)$&$11$\\ \hline \end{longtable}"," ",0,"-x-3*exp(x)","A"
8489,1,25,23,0.030000," ","int((3*x^4-1756*x^3+3504*x^2-2112*x)/(216*x^3-432*x^2+288*x-64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{66 x^{2}-73 x^{3}+\frac{1}{16} x^{4}}{\left(3 x -2\right)^{2}}$&$25$\\ gosper&$\frac{x^{2} \left(x^{2}-1168 x +1056\right)}{144 x^{2}-192 x +64}$&$26$\\ risch&$\frac{x^{2}}{144}-\frac{875 x}{108}+\frac{-\frac{250 x}{243}+\frac{125}{81}}{x^{2}-\frac{4}{3} x +\frac{4}{9}}$&$26$\\ default&$\frac{x^{2}}{144}-\frac{875 x}{108}-\frac{250}{81 \left(3 x -2\right)}+\frac{625}{81 \left(3 x -2\right)^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"(66*x^2-73*x^3+1/16*x^4)/(3*x-2)^2","A"
8490,1,17,16,0.021000," ","int(1/5*((-x^2-x)*exp(x)+2*x^2+2*x+5)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{5}+\frac{2 x}{5}+\ln \left(x \right)-\frac{{\mathrm e}^{x} x}{5}$&$17$\\ norman&$\frac{x^{2}}{5}+\frac{2 x}{5}+\ln \left(x \right)-\frac{{\mathrm e}^{x} x}{5}$&$17$\\ risch&$\frac{x^{2}}{5}+\frac{2 x}{5}+\ln \left(x \right)-\frac{{\mathrm e}^{x} x}{5}$&$17$\\ \hline \end{longtable}"," ",0,"1/5*x^2+2/5*x+ln(x)-1/5*exp(x)*x","A"
8491,1,17,20,0.389000," ","int(((-x-2)*exp(4)-x^2-9*x-10)/(x*exp(4)+x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -2 \ln \left(x \right)-2 \ln \left({\mathrm e}^{4}+x +5\right)$&$17$\\ norman&$-x -2 \ln \left(x \right)-2 \ln \left({\mathrm e}^{4}+x +5\right)$&$17$\\ risch&$-x -2 \ln \left(x^{2}+\left(5+{\mathrm e}^{4}\right) x \right)$&$18$\\ meijerg&$\left(-{\mathrm e}^{4}-9\right) \ln \left(1+\frac{x}{5+{\mathrm e}^{4}}\right)-\left(5+{\mathrm e}^{4}\right) \left(\frac{x}{5+{\mathrm e}^{4}}-\ln \left(1+\frac{x}{5+{\mathrm e}^{4}}\right)\right)-\frac{2 \,{\mathrm e}^{4} \left(\ln \left(x \right)-\ln \left(5+{\mathrm e}^{4}\right)-\ln \left(1+\frac{x}{5+{\mathrm e}^{4}}\right)\right)}{5+{\mathrm e}^{4}}-\frac{10 \left(\ln \left(x \right)-\ln \left(5+{\mathrm e}^{4}\right)-\ln \left(1+\frac{x}{5+{\mathrm e}^{4}}\right)\right)}{5+{\mathrm e}^{4}}$&$112$\\ \hline \end{longtable}"," ",0,"-x-2*ln(x)-2*ln(exp(4)+x+5)","A"
8492,1,45,29,0.374000," ","int(((3*x^4-8*x^3-15*x^2+40*x)*exp(x^3-4*x^2)*ln(-x^2+5)+(-3*x^6+8*x^5+9*x^4-26*x^3+30*x^2-68*x)*exp(x^3-4*x^2)+2*x^2-10)/(x^2-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\left(x -4\right) x^{2}} x^{2}+{\mathrm e}^{\left(x -4\right) x^{2}} \ln \left(-x^{2}+5\right)+2 x -2 \,{\mathrm e}^{\left(x -4\right) x^{2}}$&$45$\\ \hline \end{longtable}"," ",0,"-exp((x-4)*x^2)*x^2+exp((x-4)*x^2)*ln(-x^2+5)+2*x-2*exp((x-4)*x^2)","A"
8493,1,44,21,0.088000," ","int(((ln(3)^2+4*ln(3)-x^2+4)*exp(x)+x+1)/((x*ln(3)^2+(-2*x^2+4*x)*ln(3)+x^3-4*x^2+4*x)*exp(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(x -2-\ln \left(3\right)\right)+\ln \left(x \right)+x -\ln \left({\mathrm e}^{x}+\frac{1}{\ln \left(3\right)^{2}-2 x \ln \left(3\right)+x^{2}+4 \ln \left(3\right)-4 x +4}\right)$&$44$\\ norman&$x -\ln \left(\ln \left(3\right)^{2} {\mathrm e}^{x}-2 x \ln \left(3\right) {\mathrm e}^{x}+{\mathrm e}^{x} x^{2}+4 \ln \left(3\right) {\mathrm e}^{x}-4 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{x}+1\right)+\ln \left(x \right)$&$45$\\ \hline \end{longtable}"," ",0,"-2*ln(x-2-ln(3))+ln(x)+x-ln(exp(x)+1/(ln(3)^2-2*x*ln(3)+x^2+4*ln(3)-4*x+4))","B"
8494,1,26,21,0.276000," ","int(1/3*(3*x*exp(x)*exp(exp(x))+(12-x)*exp((4*x+12)/x)+2*x^2+7*x)*exp(exp(exp(x))-1/3*x*exp((4*x+12)/x)+1/3*x^2+7/3*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}-\frac{x \,{\mathrm e}^{\frac{4 x +12}{x}}}{3}+\frac{x^{2}}{3}+\frac{7 x}{3}}$&$26$\\ \hline \end{longtable}"," ",0,"exp(exp(exp(x))-1/3*x*exp(4*(3+x)/x)+1/3*x^2+7/3*x)","A"
8495,1,23,22,0.074000," ","int((-72*ln(2)+4*x^2*exp(5)-80*x^2-144*x)/(x^2*exp(5)*ln(2)^2+2*x^3*exp(5)*ln(2)+x^4*exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(\left(-4 \,{\mathrm e}^{5}+80\right) x +72\right) {\mathrm e}^{-5}}{x \left(\ln \left(2\right)+x \right)}$&$23$\\ gosper&$-\frac{4 \left(x \,{\mathrm e}^{5}-20 x -18\right) {\mathrm e}^{-5}}{x \left(\ln \left(2\right)+x \right)}$&$25$\\ norman&$\frac{-4 \left({\mathrm e}^{5}-20\right) {\mathrm e}^{-5} x +72 \,{\mathrm e}^{-5}}{x \left(\ln \left(2\right)+x \right)}$&$29$\\ default&$4 \,{\mathrm e}^{-5} \left(-\frac{{\mathrm e}^{5} \ln \left(2\right)-20 \ln \left(2\right)+18}{\ln \left(2\right) \left(\ln \left(2\right)+x \right)}+\frac{18}{x \ln \left(2\right)}\right)$&$40$\\ \hline \end{longtable}"," ",0,"((-4*exp(5)+80)*x+72)/x/(ln(2)+x)*exp(-5)","A"
8496,1,16,21,0.360000," ","int(((x^2+5)*ln((x^2+5)/x)^2+(2*x^2-10)*ln((x^2+5)/x))/(4*x^2+20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \ln \left(\frac{x^{2}+5}{x}\right)^{2}}{4}$&$16$\\ risch&$\frac{x \ln \left(\frac{x^{2}+5}{x}\right)^{2}}{4}$&$16$\\ \hline \end{longtable}"," ",0,"1/4*x*ln((x^2+5)/x)^2","A"
8497,1,33,27,0.570000," ","int((((4*x+4)*exp(4)+4*x^2-8)*exp(x)+(8*x^3+24*x^2)*exp(4)^2+(16*x^4+48*x^3-8)*exp(4)+8*x^5+24*x^4+4*x^2)/((x^2+4*x+4)*exp(4)^2+(2*x^3+8*x^2+8*x)*exp(4)+x^4+4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-4 x +4 x^{4}+4 x^{3} {\mathrm e}^{4}+4 \,{\mathrm e}^{x}}{\left(2+x \right) \left(x +{\mathrm e}^{4}\right)}$&$33$\\ risch&$4 x^{2}-8 x +\frac{-32 \,{\mathrm e}^{4}-36 x}{x \,{\mathrm e}^{4}+x^{2}+2 \,{\mathrm e}^{4}+2 x}+\frac{4 \,{\mathrm e}^{x}}{x \,{\mathrm e}^{4}+x^{2}+2 \,{\mathrm e}^{4}+2 x}$&$57$\\ default&$\frac{\frac{\left(-16-4 \,{\mathrm e}^{8}\right) x}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}+\frac{2 \left(-8-4 \,{\mathrm e}^{4}\right) {\mathrm e}^{4}}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}}{\left(2+x \right) \left(x +{\mathrm e}^{4}\right)}+\frac{24 x^{3}-\frac{2 \left(48 \,{\mathrm e}^{12}+384-48 \,{\mathrm e}^{8}-96 \,{\mathrm e}^{4}\right) {\mathrm e}^{4}}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}-\frac{\left(48 \,{\mathrm e}^{16}+768-48 \,{\mathrm e}^{12}-192 \,{\mathrm e}^{4}\right) x}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}}{\left(2+x \right) \left(x +{\mathrm e}^{4}\right)}+\frac{\left(-24-12 \,{\mathrm e}^{4}\right) x^{3}+\frac{\left(24 \,{\mathrm e}^{20}-8 \,{\mathrm e}^{16}+768-48 \,{\mathrm e}^{12}-96 \,{\mathrm e}^{8}-64 \,{\mathrm e}^{4}\right) x}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}+4 x^{4}+\frac{2 \left(24 \,{\mathrm e}^{16}-8 \,{\mathrm e}^{12}+384-96 \,{\mathrm e}^{8}-32 \,{\mathrm e}^{4}\right) {\mathrm e}^{4}}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}}{\left(2+x \right) \left(x +{\mathrm e}^{4}\right)}+\frac{\frac{16 \,{\mathrm e}^{4} x}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}+\frac{2 \left(4 \,{\mathrm e}^{4}+8\right) {\mathrm e}^{4}}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}}{\left(2+x \right) \left(x +{\mathrm e}^{4}\right)}+\frac{8 \,{\mathrm e}^{x} \left({\mathrm e}^{4}+2 x +2\right)}{\left(-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}\right) \left(x \,{\mathrm e}^{4}+x^{2}+2 \,{\mathrm e}^{4}+2 x \right)}-\frac{8 \,{\mathrm e}^{4} {\mathrm e}^{-{\mathrm e}^{4}} \expIntegralEi \left(1, -{\mathrm e}^{4}-x \right)}{\left({\mathrm e}^{4}-2\right) \left(4 \,{\mathrm e}^{4}-4-{\mathrm e}^{8}\right)}-\frac{8 \left({\mathrm e}^{4}-4\right) {\mathrm e}^{-2} \expIntegralEi \left(1, -x -2\right)}{\left(4 \,{\mathrm e}^{4}-4-{\mathrm e}^{8}\right) \left({\mathrm e}^{4}-2\right)}+\frac{-\frac{2 \left(24 \,{\mathrm e}^{12}+48 \,{\mathrm e}^{8}\right) {\mathrm e}^{4}}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}-\frac{\left(24 \,{\mathrm e}^{16}+96 \,{\mathrm e}^{8}\right) x}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}}{\left(2+x \right) \left(x +{\mathrm e}^{4}\right)}+\frac{\frac{\left(48 \,{\mathrm e}^{16}+384 \,{\mathrm e}^{4}\right) x}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}+\frac{2 \left(48 \,{\mathrm e}^{12}+192 \,{\mathrm e}^{4}\right) {\mathrm e}^{4}}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}}{\left(2+x \right) \left(x +{\mathrm e}^{4}\right)}+\frac{\frac{\left(8 \,{\mathrm e}^{20}+64 \,{\mathrm e}^{8}\right) x}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}+\frac{2 \left(8 \,{\mathrm e}^{16}+32 \,{\mathrm e}^{8}\right) {\mathrm e}^{4}}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}}{\left(2+x \right) \left(x +{\mathrm e}^{4}\right)}+\frac{16 x^{3} {\mathrm e}^{4}-\frac{2 \left(32 \,{\mathrm e}^{16}-32 \,{\mathrm e}^{12}-64 \,{\mathrm e}^{8}+256 \,{\mathrm e}^{4}\right) {\mathrm e}^{4}}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}-\frac{\left(32 \,{\mathrm e}^{20}-32 \,{\mathrm e}^{16}-128 \,{\mathrm e}^{8}+512 \,{\mathrm e}^{4}\right) x}{-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}}}{\left(2+x \right) \left(x +{\mathrm e}^{4}\right)}+4 \,{\mathrm e}^{4} \left(-\frac{{\mathrm e}^{x} \left({\mathrm e}^{4}+2 x +2\right)}{\left(-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}\right) \left(x \,{\mathrm e}^{4}+x^{2}+2 \,{\mathrm e}^{4}+2 x \right)}+\frac{{\mathrm e}^{4} {\mathrm e}^{-{\mathrm e}^{4}} \expIntegralEi \left(1, -{\mathrm e}^{4}-x \right)}{\left({\mathrm e}^{4}-2\right) \left(4 \,{\mathrm e}^{4}-4-{\mathrm e}^{8}\right)}+\frac{\left({\mathrm e}^{4}-4\right) {\mathrm e}^{-2} \expIntegralEi \left(1, -x -2\right)}{\left(4 \,{\mathrm e}^{4}-4-{\mathrm e}^{8}\right) \left({\mathrm e}^{4}-2\right)}\right)-\frac{4 \,{\mathrm e}^{x} \left(x \,{\mathrm e}^{8}+2 \,{\mathrm e}^{8}+4 \,{\mathrm e}^{4}+4 x \right)}{\left(-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}\right) \left(x \,{\mathrm e}^{4}+x^{2}+2 \,{\mathrm e}^{4}+2 x \right)}+\frac{4 \left({\mathrm e}^{8} {\mathrm e}^{4}-2 \,{\mathrm e}^{8}+4 \,{\mathrm e}^{4}\right) {\mathrm e}^{-{\mathrm e}^{4}} \expIntegralEi \left(1, -{\mathrm e}^{4}-x \right)}{\left(4 \,{\mathrm e}^{4}-4-{\mathrm e}^{8}\right) \left({\mathrm e}^{4}-2\right)}-\frac{32 \,{\mathrm e}^{-2} \expIntegralEi \left(1, -x -2\right)}{\left({\mathrm e}^{4}-2\right) \left(4 \,{\mathrm e}^{4}-4-{\mathrm e}^{8}\right)}+4 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{x} \left(x \,{\mathrm e}^{4}+4 \,{\mathrm e}^{4}+2 x \right)}{\left(-4 \,{\mathrm e}^{4}+4+{\mathrm e}^{8}\right) \left(x \,{\mathrm e}^{4}+x^{2}+2 \,{\mathrm e}^{4}+2 x \right)}-\frac{\left({\mathrm e}^{8}-{\mathrm e}^{4}+2\right) {\mathrm e}^{-{\mathrm e}^{4}} \expIntegralEi \left(1, -{\mathrm e}^{4}-x \right)}{\left(4 \,{\mathrm e}^{4}-4-{\mathrm e}^{8}\right) \left({\mathrm e}^{4}-2\right)}-\frac{\left({\mathrm e}^{4}-6\right) {\mathrm e}^{-2} \expIntegralEi \left(1, -x -2\right)}{\left(4 \,{\mathrm e}^{4}-4-{\mathrm e}^{8}\right) \left({\mathrm e}^{4}-2\right)}\right)$&$1090$\\ \hline \end{longtable}"," ",0,"(-4*x+4*x^4+4*x^3*exp(4)+4*exp(x))/(2+x)/(x+exp(4))","A"
8498,1,170,29,0.153000," ","int(((-x^2*exp(3/x)-3*x^3)*ln((exp(3/x)+3*x)/x)+(x^4-10*x^3+24*x^2+2*x+15)*exp(3/x)+3*x^5-30*x^4+75*x^3)/((x^2*exp(3/x)+3*x^3)*ln((exp(3/x)+3*x)/x)^2+((2*x^4-10*x^3)*exp(3/x)+6*x^5-30*x^4)*ln((exp(3/x)+3*x)/x)+(x^6-10*x^5+25*x^4)*exp(3/x)+3*x^7-30*x^6+75*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(x -5\right)}{-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{\frac{3}{x}}}{3}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{\frac{3}{x}}}{3}+x \right)}{x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{\frac{3}{x}}}{3}+x \right)}{x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(\frac{{\mathrm e}^{\frac{3}{x}}}{3}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{\frac{3}{x}}}{3}+x \right)}{x}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{{\mathrm e}^{\frac{3}{x}}}{3}+x \right)}{x}\right)^{3}+2 x^{2}+2 \ln \left(3\right)-10 x -2 \ln \left(x \right)+2 \ln \left(\frac{{\mathrm e}^{\frac{3}{x}}}{3}+x \right)}$&$170$\\ \hline \end{longtable}"," ",0,"-2*(x-5)/(-I*Pi*csgn(I/x)*csgn(I*(1/3*exp(3/x)+x))*csgn(I/x*(1/3*exp(3/x)+x))+I*Pi*csgn(I/x)*csgn(I/x*(1/3*exp(3/x)+x))^2+I*Pi*csgn(I*(1/3*exp(3/x)+x))*csgn(I/x*(1/3*exp(3/x)+x))^2-I*Pi*csgn(I/x*(1/3*exp(3/x)+x))^3+2*x^2+2*ln(3)-10*x-2*ln(x)+2*ln(1/3*exp(3/x)+x))","C"
8499,1,33,31,0.375000," ","int(((3*x-2)*ln(36*x^2-48*x+16)^2-12*x*ln(36*x^2-48*x+16)-6*x^4+4*x^3+12*x^2)/(3*x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(36 x^{2}-48 x +16\right)^{2}}{x}-x^{2}+4 \ln \left(3 x -2\right)$&$33$\\ norman&$\frac{-x^{3}-\ln \left(36 x^{2}-48 x +16\right)^{2}}{x}+4 \ln \left(3 x -2\right)$&$35$\\ \hline \end{longtable}"," ",0,"-1/x*ln(36*x^2-48*x+16)^2-x^2+4*ln(3*x-2)","A"
8500,1,15,22,0.026000," ","int((-3*x^2+x-2)/(x^3-x^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-2 \ln \left(x^{2}-x -2\right)$&$15$\\ default&$\ln \left(x \right)-2 \ln \left(x -2\right)-2 \ln \left(x +1\right)$&$16$\\ norman&$\ln \left(x \right)-2 \ln \left(x -2\right)-2 \ln \left(x +1\right)$&$16$\\ \hline \end{longtable}"," ",0,"ln(x)-2*ln(x^2-x-2)","A"
8501,1,1209,27,0.273000," ","int(((32*x*exp(x)*ln(x)^2-64*x*ln(x))*ln((-exp(x)*ln(x)+2)/ln(x))^2+((32*x^2-64*x)*exp(x)*ln(x)^2+128*x*ln(x)+64*x)*ln((-exp(x)*ln(x)+2)/ln(x))+(-32*x^2+30*x)*exp(x)*ln(x)^2-60*x*ln(x)-64*x)/(exp(x)*ln(x)^2-2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-16 \pi^{2} x^{2}+32 x^{2} \ln \left(\ln \left(x \right)\right)+15 x^{2}+16 \pi^{2} x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{4}+16 \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{4} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+32 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{2}-4 \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{4} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)^{2}-16 \pi^{2} x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{2}-16 \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-4 \pi^{2} x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{4}-8 \pi^{2} x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{5}-8 \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{5} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-32 i \pi  \,x^{2} \ln \left(\ln \left(x \right)\right)-16 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{3}+16 x^{2} \ln \left(\ln \left(x \right)\right)^{2}+32 \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{2}-4 \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{6}-16 \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{3}-16 \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{4}+16 \pi^{2} x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{5}+16 x^{2} \ln \left({\mathrm e}^{x} \ln \left(x \right)-2\right)^{2}+32 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{2} \ln \left(\ln \left(x \right)\right)+8 \pi^{2} x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{3} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-4 \pi^{2} x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)^{2}-16 \pi^{2} x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{3} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+16 \pi^{2} x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-16 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{3} \ln \left(\ln \left(x \right)\right)+\left(-32 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{2}+16 i \pi  \,x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{2}-16 i \pi  \,x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+16 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{3}+16 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+32 i \pi  \,x^{2}-32 x^{2} \ln \left(\ln \left(x \right)\right)-32 x^{2}\right) \ln \left({\mathrm e}^{x} \ln \left(x \right)-2\right)+16 i \pi  \,x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \ln \left(\ln \left(x \right)\right)-32 i \pi  \,x^{2}-16 i \pi  \,x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{2}-16 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+8 \pi^{2} x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{3} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)^{2}+16 i \pi  \,x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-16 i \pi  \,x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{2} \ln \left(\ln \left(x \right)\right)-16 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} \ln \left(x \right)-2\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \ln \left(\ln \left(x \right)\right)$&$1209$\\ \hline \end{longtable}"," ",0,"-16*Pi^2*x^2+32*x^2*ln(ln(x))+15*x^2+16*Pi^2*x^2*csgn(I*(exp(x)*ln(x)-2))*csgn(I/ln(x)*(exp(x)*ln(x)-2))^4+16*Pi^2*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^4*csgn(I/ln(x))+32*I*Pi*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^2-4*Pi^2*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^4*csgn(I/ln(x))^2-16*Pi^2*x^2*csgn(I*(exp(x)*ln(x)-2))*csgn(I/ln(x)*(exp(x)*ln(x)-2))^2-16*Pi^2*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^2*csgn(I/ln(x))-4*Pi^2*x^2*csgn(I*(exp(x)*ln(x)-2))^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^4-8*Pi^2*x^2*csgn(I*(exp(x)*ln(x)-2))*csgn(I/ln(x)*(exp(x)*ln(x)-2))^5-8*Pi^2*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^5*csgn(I/ln(x))-32*I*x^2*Pi+16*x^2*ln(ln(x))^2-32*I*Pi*x^2*ln(ln(x))+16*x^2*ln(exp(x)*ln(x)-2)^2+16*I*Pi*x^2*csgn(I*(exp(x)*ln(x)-2))*csgn(I/ln(x)*(exp(x)*ln(x)-2))*csgn(I/ln(x))*ln(ln(x))+(-32*I*Pi*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^2+16*I*Pi*x^2*csgn(I*(exp(x)*ln(x)-2))*csgn(I/ln(x)*(exp(x)*ln(x)-2))^2-16*I*Pi*x^2*csgn(I*(exp(x)*ln(x)-2))*csgn(I/ln(x)*(exp(x)*ln(x)-2))*csgn(I/ln(x))+16*I*Pi*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^3+16*I*Pi*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^2*csgn(I/ln(x))+32*I*x^2*Pi-32*x^2*ln(ln(x))-32*x^2)*ln(exp(x)*ln(x)-2)+32*Pi^2*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^2-4*Pi^2*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^6-16*Pi^2*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^3-16*Pi^2*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^4+16*Pi^2*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^5+8*Pi^2*x^2*csgn(I*(exp(x)*ln(x)-2))*csgn(I/ln(x)*(exp(x)*ln(x)-2))^3*csgn(I/ln(x))^2-16*I*Pi*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^3-16*I*Pi*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^2*csgn(I/ln(x))+32*I*Pi*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^2*ln(ln(x))+8*Pi^2*x^2*csgn(I*(exp(x)*ln(x)-2))^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^3*csgn(I/ln(x))-4*Pi^2*x^2*csgn(I*(exp(x)*ln(x)-2))^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^2*csgn(I/ln(x))^2-16*Pi^2*x^2*csgn(I*(exp(x)*ln(x)-2))*csgn(I/ln(x)*(exp(x)*ln(x)-2))^3*csgn(I/ln(x))+16*Pi^2*x^2*csgn(I*(exp(x)*ln(x)-2))*csgn(I/ln(x)*(exp(x)*ln(x)-2))*csgn(I/ln(x))-16*I*Pi*x^2*csgn(I*(exp(x)*ln(x)-2))*csgn(I/ln(x)*(exp(x)*ln(x)-2))^2-16*I*Pi*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^3*ln(ln(x))-16*I*Pi*x^2*csgn(I*(exp(x)*ln(x)-2))*csgn(I/ln(x)*(exp(x)*ln(x)-2))^2*ln(ln(x))-16*I*Pi*x^2*csgn(I/ln(x)*(exp(x)*ln(x)-2))^2*csgn(I/ln(x))*ln(ln(x))+16*I*Pi*x^2*csgn(I*(exp(x)*ln(x)-2))*csgn(I/ln(x)*(exp(x)*ln(x)-2))*csgn(I/ln(x))","C"
8502,1,36,27,0.144000," ","int(((-2*x^3-12)*exp(5)-10*x^3+18*x)/(x^3*exp(5)^2-2*x^4*exp(5)+x^5)/ln(1/4*ln(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{2 \left(x^{2} {\mathrm e}^{5}+5 x^{2}-3\right)}{x^{2} \ln \left(\frac{\ln \left(5\right)^{2}}{4}\right) \left({\mathrm e}^{5}-x \right)}$&$36$\\ risch&$\frac{\left(-2 \,{\mathrm e}^{5}-10\right) x^{2}+6}{\left(-2 \ln \left(2\right)+2 \ln \left(\ln \left(5\right)\right)\right) x^{2} \left({\mathrm e}^{5}-x \right)}$&$37$\\ norman&$\frac{\frac{\left({\mathrm e}^{5}+5\right) x^{2}}{\ln \left(2\right)-\ln \left(\ln \left(5\right)\right)}-\frac{3}{\ln \left(2\right)-\ln \left(\ln \left(5\right)\right)}}{x^{2} \left({\mathrm e}^{5}-x \right)}$&$44$\\ \hline \end{longtable}"," ",0,"-2/x^2*(x^2*exp(5)+5*x^2-3)/ln(1/4*ln(5)^2)/(exp(5)-x)","A"
8503,1,10,15,0.357000," ","int(exp(-ln(2*x-16)+1)/(-8+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{{\mathrm e}}{2 \left(-8+x \right)}$&$10$\\ norman&$-\frac{{\mathrm e}}{2 \left(-8+x \right)}$&$10$\\ risch&$-\frac{{\mathrm e}}{2 \left(-8+x \right)}$&$10$\\ gosper&$-{\mathrm e}^{-\ln \left(2 x -16\right)+1}$&$14$\\ \hline \end{longtable}"," ",0,"-1/2*exp(1)/(-8+x)","A"
8504,1,57,22,0.110000," ","int(((-4*x+4)*ln(x/exp(x))+25*x^5-160*x^4+360*x^3-320*x^2+80*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x^{5}-40 x^{4}+120 x^{3}-162 x^{2}+80 x +4 \ln \left(x \,{\mathrm e}^{-x}\right) \ln \left(x \right)-4 x \ln \left(x \,{\mathrm e}^{-x}\right)+4 x \ln \left(x \right)-2 \ln \left(x \right)^{2}$&$57$\\ risch&$\left(4 x -4 \ln \left(x \right)\right) \ln \left({\mathrm e}^{x}\right)+2 \ln \left(x \right)^{2}-2 i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}+2 i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)+2 i x \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}-2 i x \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)+5 x^{5}-40 x^{4}+120 x^{3}-162 x^{2}+80 x +2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)-2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}+2 i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)$&$223$\\ \hline \end{longtable}"," ",0,"5*x^5-40*x^4+120*x^3-162*x^2+80*x+4*ln(x/exp(x))*ln(x)-4*x*ln(x/exp(x))+4*x*ln(x)-2*ln(x)^2","B"
8505,1,21,27,0.080000," ","int(((8*x^4-36*x^3)*ln(x)^2+(8*x^4-24*x^3-4*x)*ln(x)+4*x-12)/(x^3-6*x^2+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 \ln \left(x \right)+4 x^{3} \ln \left(x \right)^{2}}{x -3}$&$21$\\ risch&$\frac{4 x^{3} \ln \left(x \right)^{2}}{x -3}+\frac{4 \ln \left(x \right)}{x -3}$&$25$\\ \hline \end{longtable}"," ",0,"(4*ln(x)+4*x^3*ln(x)^2)/(x-3)","A"
8506,1,14,23,0.022000," ","int((8*x*ln(2)-4)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 x \left(x \ln \left(2\right)-1\right)}{\ln \left(2\right)}$&$14$\\ norman&$4 x^{2}-\frac{4 x}{\ln \left(2\right)}$&$14$\\ risch&$4 x^{2}-\frac{4 x}{\ln \left(2\right)}$&$14$\\ default&$\frac{4 x^{2} \ln \left(2\right)-4 x}{\ln \left(2\right)}$&$17$\\ \hline \end{longtable}"," ",0,"4*x*(x*ln(2)-1)/ln(2)","A"
8507,1,52,23,0.076000," ","int((256*x^4*exp(x)^3+(-768*x^5-32*x^4+48*x^3)*exp(x)^2+(768*x^6+32*x^5-48*x^4-20*x^3+4*x^2+x-1)*exp(x)-256*x^7+16*x^4+4*x^3-6*x^2+2*x)/(128*x^3*exp(x)^3-384*exp(x)^2*x^4+384*x^5*exp(x)-128*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{64 x^{4}-64 \,{\mathrm e}^{x} x^{3}-32 x^{3}+32 \,{\mathrm e}^{x} x^{2}-4 x^{2}+4 x -1}{256 x^{2} \left(x -{\mathrm e}^{x}\right)^{2}}$&$52$\\ norman&$\frac{\frac{1}{256}+x^{6}-\frac{x^{4}}{4}+{\mathrm e}^{2 x} x^{4}+\frac{{\mathrm e}^{x} x^{3}}{4}-\frac{x}{64}+\frac{x^{2}}{64}+\frac{x^{3}}{8}-2 x^{5} {\mathrm e}^{x}-\frac{{\mathrm e}^{x} x^{2}}{8}}{x^{2} \left(x -{\mathrm e}^{x}\right)^{2}}$&$65$\\ \hline \end{longtable}"," ",0,"x^2-1/256/x^2*(64*x^4-64*exp(x)*x^3-32*x^3+32*exp(x)*x^2-4*x^2+4*x-1)/(x-exp(x))^2","B"
8508,1,20,23,0.020000," ","int((-60*x^4+72)*exp(-x^5+6*x+5)^4-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x +3 \,{\mathrm e}^{-4 x^{5}+24 x +20}$&$20$\\ norman&$-3 x +3 \,{\mathrm e}^{-4 x^{5}+24 x +20}$&$20$\\ risch&$-3 x +3 \,{\mathrm e}^{-4 \left(x +1\right) \left(x^{4}-x^{3}+x^{2}-x -5\right)}$&$29$\\ \hline \end{longtable}"," ",0,"-3*x+3*exp(-x^5+6*x+5)^4","A"
8509,1,23,25,0.424000," ","int(((3*x^3-33*x^2+27*x+33)*exp(x)-2*x^4+4*x^3-32*x^2+60*x-30)/(6*x^2-12*x+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{3}}{9}-5 x +\frac{x \left(x -11\right) {\mathrm e}^{x}}{2 x -2}$&$23$\\ default&$-5 x -\frac{x^{3}}{9}-\frac{5 \,{\mathrm e}^{x}}{x -1}-5 \,{\mathrm e}^{x}+\frac{{\mathrm e}^{x} x}{2}$&$28$\\ norman&$\frac{-5 x^{2}+\frac{x^{3}}{9}-\frac{x^{4}}{9}-\frac{11 \,{\mathrm e}^{x} x}{2}+\frac{{\mathrm e}^{x} x^{2}}{2}+5}{x -1}$&$36$\\ \hline \end{longtable}"," ",0,"-1/9*x^3-5*x+1/2*x*(x-11)/(x-1)*exp(x)","A"
8510,1,15,22,0.023000," ","int(((1-x)*exp(x)-x^3+2*x^2)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-x +x^{2} {\mathrm e}^{-x}$&$15$\\ risch&$\ln \left(x \right)-x +x^{2} {\mathrm e}^{-x}$&$15$\\ norman&$\left(x^{2}-{\mathrm e}^{x} x \right) {\mathrm e}^{-x}+\ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"ln(x)-x+x^2/exp(x)","A"
8511,1,25,21,0.039000," ","int((((3*x+30)*ln(x)^2+(2*x^2-2*x)*ln(x)-x^2+2*x)*exp(1/30*(3*x*ln(x)+x^2-2*x)/ln(x))-30*ln(x)^2)/(30*x^2*ln(x)^2*exp(1/30*(3*x*ln(x)+x^2-2*x)/ln(x))^2-60*x^2*ln(x)^2*exp(1/30*(3*x*ln(x)+x^2-2*x)/ln(x))+30*x^2*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{x \left({\mathrm e}^{\frac{x \left(3 \ln \left(x \right)+x -2\right)}{30 \ln \left(x \right)}}-1\right)}$&$25$\\ \hline \end{longtable}"," ",0,"-1/x/(exp(1/30*x*(3*ln(x)+x-2)/ln(x))-1)","A"
8512,1,21,22,0.105000," ","int(((-4*exp(x)+16)*exp(x^4-16*x^3+96*x^2-256*x+256)^2+(4*exp(x)*x-8*x^3+96*x^2-400*x+512)*exp(x^4-16*x^3+96*x^2-256*x+256)-exp(x)*x^2+4*x^2+1)/(16*exp(x^4-16*x^3+96*x^2-256*x+256)^2-16*x*exp(x^4-16*x^3+96*x^2-256*x+256)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{{\mathrm e}^{x}}{4}-\frac{1}{4 \left(x -2 \,{\mathrm e}^{\left(x -4\right)^{4}}\right)}$&$21$\\ norman&$\frac{-\frac{1}{4}+x^{2}-2 x \,{\mathrm e}^{x^{4}-16 x^{3}+96 x^{2}-256 x +256}-\frac{{\mathrm e}^{x} x}{4}+\frac{{\mathrm e}^{x} {\mathrm e}^{x^{4}-16 x^{3}+96 x^{2}-256 x +256}}{2}}{x -2 \,{\mathrm e}^{x^{4}-16 x^{3}+96 x^{2}-256 x +256}}$&$82$\\ \hline \end{longtable}"," ",0,"x-1/4*exp(x)-1/4/(x-2*exp((x-4)^4))","A"
8513,1,29,20,0.419000," ","int((exp(5)*ln(x)+3*exp(5)^2+(6*x+7)*exp(5)+3*x^2+x)/(10*exp(5)^2+20*x*exp(5)+10*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{3 x^{2}}{10}+\frac{x \ln \left(x \right)}{10}-\frac{3 \,{\mathrm e}^{10}}{10}-\frac{3 \,{\mathrm e}^{5}}{5}}{{\mathrm e}^{5}+x}$&$29$\\ risch&$-\frac{{\mathrm e}^{5} \ln \left(x \right)}{10 \left({\mathrm e}^{5}+x \right)}+\frac{{\mathrm e}^{5} \ln \left(x \right)+3 x \,{\mathrm e}^{5}+x \ln \left(x \right)+3 x^{2}-6 \,{\mathrm e}^{5}}{10 \,{\mathrm e}^{5}+10 x}$&$46$\\ default&$\frac{3 x^{2}-3 \left({\mathrm e}^{5}\right)^{2}-6 \,{\mathrm e}^{5}}{10 \,{\mathrm e}^{5}+10 x}+\frac{\ln \left({\mathrm e}^{5}+x \right)}{10}+\frac{{\mathrm e}^{5} \ln \left(x \right) \ln \left(\frac{{\mathrm e}^{5}-\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+x}{{\mathrm e}^{5}-\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)}{20 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}-\frac{{\mathrm e}^{5} \ln \left(x \right) \ln \left(\frac{{\mathrm e}^{5}+\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+x}{{\mathrm e}^{5}+\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)}{20 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}+\frac{{\mathrm e}^{5} \dilog \left(\frac{{\mathrm e}^{5}-\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+x}{{\mathrm e}^{5}-\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)}{20 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}-\frac{{\mathrm e}^{5} \dilog \left(\frac{{\mathrm e}^{5}+\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}+x}{{\mathrm e}^{5}+\sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}\right)}{20 \sqrt{\left({\mathrm e}^{5}\right)^{2}-{\mathrm e}^{10}}}$&$237$\\ \hline \end{longtable}"," ",0,"(3/10*x^2+1/10*x*ln(x)-3/10*exp(5)^2-3/5*exp(5))/(exp(5)+x)","A"
8514,1,37,25,0.147000," ","int((-ln(5)*exp(-x^2+5*x)^2+(-2*x*ln(5)+2*x^3-5*x^2)*exp(-x^2+5*x)-x^2*ln(5)-x^2)/(x*ln(5)*exp(-x^2+5*x)^2+(2*x^2*ln(5)+x^2)*exp(-x^2+5*x)+x^3*ln(5)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\ln \left({\mathrm e}^{-\left(x -5\right) x}+\frac{\left(\ln \left(5\right)+1\right) x}{\ln \left(5\right)}\right)-\ln \left(x +{\mathrm e}^{-\left(x -5\right) x}\right)$&$37$\\ norman&$-\ln \left(x \right)-\ln \left(x +{\mathrm e}^{-x^{2}+5 x}\right)+\ln \left(x \ln \left(5\right)+{\mathrm e}^{-x^{2}+5 x} \ln \left(5\right)+x \right)$&$41$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(exp(-(x-5)*x)+(ln(5)+1)*x/ln(5))-ln(x+exp(-(x-5)*x))","A"
8515,1,21,20,0.120000," ","int(1/3*(-exp(exp(exp(x)))+(exp(x)*exp(x+1)-6*exp(x))*exp(exp(x))-exp(x+1))/exp(exp(exp(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{3}+\frac{\left(6-{\mathrm e}^{x +1}\right) {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x}}}}{3}$&$21$\\ norman&$\left(2-\frac{{\mathrm e} \,{\mathrm e}^{x}}{3}-\frac{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}} x}{3}\right) {\mathrm e}^{-{\mathrm e}^{{\mathrm e}^{x}}}$&$23$\\ \hline \end{longtable}"," ",0,"-1/3*x+1/3*(6-exp(x+1))*exp(-exp(exp(x)))","A"
8516,1,176,21,0.120000," ","int((((10*x*ln(x)-60*x)*ln(-ln(x)+6)+2*x^3*ln(x)-12*x^3)*ln((5*ln(-ln(x)+6)+x^2)/x)+(5*x*ln(x)-30*x)*ln(-ln(x)+6)-x^3*ln(x)+6*x^3-5*x)/((5*ln(x)-30)*ln(-ln(x)+6)+x^2*ln(x)-6*x^2)/ln((5*ln(-ln(x)+6)+x^2)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i x^{2}}{\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(5 \ln \left(-\ln \left(x \right)+6\right)+x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(5 \ln \left(-\ln \left(x \right)+6\right)+x^{2}\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(5 \ln \left(-\ln \left(x \right)+6\right)+x^{2}\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(5 \ln \left(-\ln \left(x \right)+6\right)+x^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(5 \ln \left(-\ln \left(x \right)+6\right)+x^{2}\right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(5 \ln \left(-\ln \left(x \right)+6\right)+x^{2}\right)}{x}\right)^{3}-2 i \ln \left(x \right)+2 i \ln \left(5 \ln \left(-\ln \left(x \right)+6\right)+x^{2}\right)}$&$176$\\ \hline \end{longtable}"," ",0,"2*I*x^2/(Pi*csgn(I/x)*csgn(I*(5*ln(-ln(x)+6)+x^2))*csgn(I/x*(5*ln(-ln(x)+6)+x^2))-Pi*csgn(I/x)*csgn(I/x*(5*ln(-ln(x)+6)+x^2))^2-Pi*csgn(I*(5*ln(-ln(x)+6)+x^2))*csgn(I/x*(5*ln(-ln(x)+6)+x^2))^2+Pi*csgn(I/x*(5*ln(-ln(x)+6)+x^2))^3-2*I*ln(x)+2*I*ln(5*ln(-ln(x)+6)+x^2))","C"
8517,1,34,27,0.832000," ","int(((-6*ln(2)-3*exp(2)^2+(6*x-24)*exp(2)-3*x^2+24*x-54)*ln(2*ln(2)+exp(2)^2+(-2*x+8)*exp(2)+x^2-8*x+18)*ln(ln(2*ln(2)+exp(2)^2+(-2*x+8)*exp(2)+x^2-8*x+18))^2+(2*exp(2)-2*x+8)*ln(5))/(2*ln(2)+exp(2)^2+(-2*x+8)*exp(2)+x^2-8*x+18)/ln(2*ln(2)+exp(2)^2+(-2*x+8)*exp(2)+x^2-8*x+18)/ln(ln(2*ln(2)+exp(2)^2+(-2*x+8)*exp(2)+x^2-8*x+18))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 x +\frac{\ln \left(5\right)}{\ln \left(\ln \left(2 \ln \left(2\right)+{\mathrm e}^{4}+\left(-2 x +8\right) {\mathrm e}^{2}+x^{2}-8 x +18\right)\right)}$&$34$\\ \hline \end{longtable}"," ",0,"-3*x+ln(5)/ln(ln(2*ln(2)+exp(4)+(-2*x+8)*exp(2)+x^2-8*x+18))","A"
8518,1,4657,24,1.447000," ","int((((2*x*ln(5)^2+4*x^2+2*x)*ln(1/4*x^2)+4*ln(5)^2)*ln(exp((x^2+x-1)/ln(5)^2)*ln(1/4*x^2))+(2*x^2*ln(5)^2+4*x^3+2*x^2)*ln(1/4*x^2)+4*x*ln(5)^2)/x/ln(5)^2/ln(1/4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$4657$\\ \hline \end{longtable}"," ",0,"x^2-2*x*ln(2)-I*Pi*x+2*x*ln(4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I*ln(2))+I*Pi*ln(ln(x)-1/4*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I*ln(2)))*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^3+I*Pi*x*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^3+I*Pi*ln(ln(x)-1/4*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I*ln(2)))*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^3+I*Pi*x*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^3+I*Pi*ln(ln(x)-1/4*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I*ln(2)))*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2+I*Pi*x*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2-I/ln(5)^2*Pi*x^2-I/ln(5)^2*Pi*x+ln(4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I*ln(2))^2+I/ln(5)^2*Pi*x^2*csgn(I*exp((x^2+x-1)/ln(5)^2))*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2+I/ln(5)^2*Pi*x*csgn(I*exp((x^2+x-1)/ln(5)^2))*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2-I/ln(5)^2*Pi*x^2*csgn(I*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2-I/ln(5)^2*Pi*x^2*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2-I/ln(5)^2*Pi*x*csgn(I*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2-2/ln(5)^2*ln(2)*x^2-2/ln(5)^2*ln(2)*x-I*Pi*ln(ln(x)-1/4*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I*ln(2)))-2*ln(2)*ln(ln(x)-1/4*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I*ln(2)))-1/ln(5)^4*x^4-2/ln(5)^4*x^3-1/ln(5)^4*x^2+I/ln(5)^2*Pi*x^2*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^3+I/ln(5)^2*Pi*x^2*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^3+I/ln(5)^2*Pi*x*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^3+I/ln(5)^2*Pi*x*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^3+I/ln(5)^2*Pi*x^2*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2+I/ln(5)^2*Pi*x*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2-I*Pi*ln(ln(x)-1/4*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I*ln(2)))*csgn(I*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2-I*Pi*x*csgn(I*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2-I*Pi*ln(ln(x)-1/4*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I*ln(2)))*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2-I*Pi*x*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2-I*Pi*ln(ln(x)-1/4*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I*ln(2)))*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))-I*Pi*x*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))-I/ln(5)^2*Pi*x^2*csgn(I*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(I*exp((x^2+x-1)/ln(5)^2))*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))-I/ln(5)^2*Pi*x*csgn(I*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(I*exp((x^2+x-1)/ln(5)^2))*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))+1/ln(5)^2*(2*x*ln(5)^2+2*ln(5)^2*ln(4*I*ln(x)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I*ln(2))+2*x^2+2*x)*ln(exp((x^2+x-1)/ln(5)^2))-I/ln(5)^2*Pi*x*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2-I/ln(5)^2*Pi*x^2*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))-I/ln(5)^2*Pi*x*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))-I*Pi*ln(ln(x)-1/4*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I*ln(2)))*csgn(I*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(I*exp((x^2+x-1)/ln(5)^2))*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))-I*Pi*x*csgn(I*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))*csgn(I*exp((x^2+x-1)/ln(5)^2))*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))+I*Pi*ln(ln(x)-1/4*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-4*I*ln(2)))*csgn(I*exp((x^2+x-1)/ln(5)^2))*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2+I*Pi*x*csgn(I*exp((x^2+x-1)/ln(5)^2))*csgn(I*exp((x^2+x-1)/ln(5)^2)*(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2)))^2","C"
8519,1,38,24,0.053000," ","int(((exp(x)*x-x^2)*ln(x-exp(x))+((x^2-4*x)*exp(x)^2+(-x^3+4*x^2+x)*exp(x)-x^2)*exp(exp(x))+(-2*exp(x)+2*x)*ln(1/5*x)+(x^2-4*x)*exp(x)-x^2+4*x)/(exp(x)*x-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x -{\mathrm e}^{x}\right) x +x \,{\mathrm e}^{{\mathrm e}^{x}}-\ln \left(\frac{x}{5}\right)^{2}-4 \ln \left({\mathrm e}^{x}-x \right)-4 \,{\mathrm e}^{{\mathrm e}^{x}}$&$38$\\ \hline \end{longtable}"," ",0,"ln(x-exp(x))*x+x*exp(exp(x))-ln(1/5*x)^2-4*ln(exp(x)-x)-4*exp(exp(x))","A"
8520,1,16,16,0.018000," ","int(1/4*((-4*x+5)*ln(x)^2+4*ln(x)-4)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{2}}{2}+\frac{5 x}{4}+\frac{x}{\ln \left(x \right)}$&$16$\\ risch&$-\frac{x^{2}}{2}+\frac{5 x}{4}+\frac{x}{\ln \left(x \right)}$&$16$\\ norman&$\frac{x +\frac{5 x \ln \left(x \right)}{4}-\frac{x^{2} \ln \left(x \right)}{2}}{\ln \left(x \right)}$&$20$\\ \hline \end{longtable}"," ",0,"-1/2*x^2+5/4*x+x/ln(x)","A"
8521,1,21,23,0.069000," ","int((-14*exp(exp(x^2)^2+5)^2-24*x^4*exp(x^2)^2+9*x^2)/exp(exp(x^2)^2+5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-14 x +3 x^{3} {\mathrm e}^{-10-2 \,{\mathrm e}^{2 x^{2}}}$&$21$\\ \hline \end{longtable}"," ",0,"-14*x+3*x^3*exp(-10-2*exp(2*x^2))","A"
8522,1,53,25,0.076000," ","int(((-8*x*exp(4*x)+2)*exp((ln(2)*exp(exp(4*x))+x)/exp(exp(4*x)))^2+((-6*exp(3*x)-4)*exp(exp(4*x))+(8*x*exp(3*x)+16*x^2)*exp(4*x)-2*exp(3*x)-4*x)*exp((ln(2)*exp(exp(4*x))+x)/exp(exp(4*x)))+(6*exp(3*x)^2+(12*x+4)*exp(3*x)+8*x)*exp(exp(4*x)))/exp(exp(4*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{6 x}+4 x \,{\mathrm e}^{3 x}+4 x^{2}+4 \,{\mathrm e}^{2 \,{\mathrm e}^{-{\mathrm e}^{4 x}} x}+2 \left(-2 \,{\mathrm e}^{3 x}-4 x \right) {\mathrm e}^{{\mathrm e}^{-{\mathrm e}^{4 x}} x}$&$53$\\ \hline \end{longtable}"," ",0,"exp(6*x)+4*x*exp(3*x)+4*x^2+4*exp(2*exp(-exp(4*x))*x)+2*(-2*exp(3*x)-4*x)*exp(exp(-exp(4*x))*x)","B"
8523,1,186,24,0.156000," ","int(((-10*x^2*exp(3*exp(x))-x^3-40*x)*ln((10*x*exp(3*exp(x))+x^2+40)/x)+(30*x^3-60*x^2)*exp(x)*ln(x-2)*exp(3*exp(x))+(x^3-2*x^2-40*x+80)*ln(x-2))/((10*x^3-20*x^2)*ln(x-2)^2*exp(3*exp(x))+(x^4-2*x^3+40*x^2-80*x)*ln(x-2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(10 x \,{\mathrm e}^{3 \,{\mathrm e}^{x}}+x^{2}+40\right)}{\ln \left(x -2\right)}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(10 x \,{\mathrm e}^{3 \,{\mathrm e}^{x}}+x^{2}+40\right)\right) \mathrm{csgn}\left(\frac{i \left(10 x \,{\mathrm e}^{3 \,{\mathrm e}^{x}}+x^{2}+40\right)}{x}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(10 x \,{\mathrm e}^{3 \,{\mathrm e}^{x}}+x^{2}+40\right)}{x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(10 x \,{\mathrm e}^{3 \,{\mathrm e}^{x}}+x^{2}+40\right)\right) \mathrm{csgn}\left(\frac{i \left(10 x \,{\mathrm e}^{3 \,{\mathrm e}^{x}}+x^{2}+40\right)}{x}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(10 x \,{\mathrm e}^{3 \,{\mathrm e}^{x}}+x^{2}+40\right)}{x}\right)^{3}+2 \ln \left(x \right)}{2 \ln \left(x -2\right)}$&$186$\\ \hline \end{longtable}"," ",0,"1/ln(x-2)*ln(10*x*exp(3*exp(x))+x^2+40)-1/2*(I*Pi*csgn(I/x)*csgn(I*(10*x*exp(3*exp(x))+x^2+40))*csgn(I/x*(10*x*exp(3*exp(x))+x^2+40))-I*Pi*csgn(I/x)*csgn(I/x*(10*x*exp(3*exp(x))+x^2+40))^2-I*Pi*csgn(I*(10*x*exp(3*exp(x))+x^2+40))*csgn(I/x*(10*x*exp(3*exp(x))+x^2+40))^2+I*Pi*csgn(I/x*(10*x*exp(3*exp(x))+x^2+40))^3+2*ln(x))/ln(x-2)","C"
8524,1,14,15,0.022000," ","int(-20*ln(x)+20*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$20 \,{\mathrm e}^{x}-20 x \ln \left(x \right)+20 x$&$14$\\ norman&$20 \,{\mathrm e}^{x}-20 x \ln \left(x \right)+20 x$&$14$\\ risch&$20 \,{\mathrm e}^{x}-20 x \ln \left(x \right)+20 x$&$14$\\ \hline \end{longtable}"," ",0,"20*exp(x)-20*x*ln(x)+20*x","A"
8525,1,16,26,0.026000," ","int(1/5*exp(3)-3*x^2+14/5*x+7/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(-5 x^{2}+{\mathrm e}^{3}+7 x +7\right)}{5}$&$16$\\ default&$\frac{x \,{\mathrm e}^{3}}{5}-x^{3}+\frac{7 x^{2}}{5}+\frac{7 x}{5}$&$20$\\ norman&$\left(\frac{7}{5}+\frac{{\mathrm e}^{3}}{5}\right) x +\frac{7 x^{2}}{5}-x^{3}$&$20$\\ risch&$\frac{x \,{\mathrm e}^{3}}{5}-x^{3}+\frac{7 x^{2}}{5}+\frac{7 x}{5}$&$20$\\ \hline \end{longtable}"," ",0,"1/5*x*(-5*x^2+exp(3)+7*x+7)","A"
8526,1,7,25,0.010000," ","int(-2*x-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(2+x \right)$&$7$\\ default&$-x^{2}-2 x$&$10$\\ norman&$-x^{2}-2 x$&$10$\\ risch&$-x^{2}-2 x$&$10$\\ \hline \end{longtable}"," ",0,"-x*(2+x)","A"
8527,1,33,20,0.045000," ","int(1/2*(-2*x*ln(5)*ln(x)+(2*exp(2)*x+3*x^2+3*x)*ln(5)+10*x)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{2}}{2}+\frac{x^{3}}{2}+x^{2}+\frac{5 x^{2}}{2 \ln \left(5\right)}-\frac{x^{2} \ln \left(x \right)}{2}$&$33$\\ norman&$\frac{x^{3}}{2}-\frac{x^{2} \ln \left(x \right)}{2}+\frac{\left({\mathrm e}^{2} \ln \left(5\right)+2 \ln \left(5\right)+5\right) x^{2}}{2 \ln \left(5\right)}$&$34$\\ default&$\frac{\ln \left(5\right) x^{2} {\mathrm e}^{2}+x^{3} \ln \left(5\right)+2 x^{2} \ln \left(5\right)+5 x^{2}-x^{2} \ln \left(5\right) \ln \left(x \right)}{2 \ln \left(5\right)}$&$43$\\ \hline \end{longtable}"," ",0,"1/2*x^2*exp(2)+1/2*x^3+x^2+5/2*x^2/ln(5)-1/2*x^2*ln(x)","A"
8528,1,64,25,0.156000," ","int(((x^2+x)*exp(x)^2+((x+1)*exp(3)+x^3+2*x^2-2*x)*exp(x)+(2*x-1)*exp(3)+2*x^3-3*x^2+x-3)/(2*exp(x)^2*x^2+(4*x*exp(3)+4*x^3-4*x^2)*exp(x)+2*exp(3)^2+(4*x^2-4*x)*exp(3)+2*x^4-4*x^3+2*x^2-12*x+10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)}{2}+\frac{\ln \left({\mathrm e}^{2 x}+\frac{2 \left(x^{2}+{\mathrm e}^{3}-x \right) {\mathrm e}^{x}}{x}+\frac{x^{4}+2 x^{2} {\mathrm e}^{3}-2 x^{3}+{\mathrm e}^{6}-2 x \,{\mathrm e}^{3}+x^{2}-6 x +5}{x^{2}}\right)}{4}$&$64$\\ norman&$\frac{\ln \left(2 \,{\mathrm e}^{2 x} x^{2}+4 \,{\mathrm e}^{x} x^{3}+2 x^{4}+4 x \,{\mathrm e}^{3} {\mathrm e}^{x}-4 \,{\mathrm e}^{x} x^{2}+4 x^{2} {\mathrm e}^{3}-4 x^{3}+2 \,{\mathrm e}^{6}-4 x \,{\mathrm e}^{3}+2 x^{2}-12 x +10\right)}{4}$&$72$\\ \hline \end{longtable}"," ",0,"1/2*ln(x)+1/4*ln(exp(2*x)+2/x*(x^2+exp(3)-x)*exp(x)+(x^4+2*x^2*exp(3)-2*x^3+exp(6)-2*x*exp(3)+x^2-6*x+5)/x^2)","B"
8529,1,27,24,0.157000," ","int(((20*x*exp(x)*ln(x)*ln(ln(x))-180*x*exp(x)*ln(x)-20*exp(x))*exp(-4*exp(x)/(ln(ln(x))-9))-5*x*ln(x)*ln(ln(x))^2+90*x*ln(x)*ln(ln(x))-405*x*ln(x))/((x*ln(x)*ln(ln(x))^2-18*x*ln(x)*ln(ln(x))+81*x*ln(x))*exp(-4*exp(x)/(ln(ln(x))-9))^2+((-6*x*exp(1)+2*x^2)*ln(x)*ln(ln(x))^2+(108*x*exp(1)-36*x^2)*ln(x)*ln(ln(x))+(-486*x*exp(1)+162*x^2)*ln(x))*exp(-4*exp(x)/(ln(ln(x))-9))+(9*x*exp(1)^2-6*x^2*exp(1)+x^3)*ln(x)*ln(ln(x))^2+(-162*x*exp(1)^2+108*x^2*exp(1)-18*x^3)*ln(x)*ln(ln(x))+(729*x*exp(1)^2-486*x^2*exp(1)+81*x^3)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5}{-{\mathrm e}^{-\frac{4 \,{\mathrm e}^{x}}{\ln \left(\ln \left(x \right)\right)-9}}-x +3 \,{\mathrm e}}$&$27$\\ \hline \end{longtable}"," ",0,"-5/(-exp(-4*exp(x)/(ln(ln(x))-9))-x+3*exp(1))","A"
8530,1,21,25,0.062000," ","int(((-2*x^4-12*x^3-20*x^2)*exp(x)+3*x^3+21*x^2+45*x+27)/(x^4+6*x^3+9*x^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{3+x}-2 x -\frac{3 \,{\mathrm e}^{-x}}{x}$&$21$\\ norman&$\frac{\left(-9+20 \,{\mathrm e}^{x} x -3 x -2 \,{\mathrm e}^{x} x^{3}\right) {\mathrm e}^{-x}}{\left(3+x \right) x}$&$31$\\ default&$\frac{2}{3+x}-2 x -\frac{3 \,{\mathrm e}^{-x} \left(2 x +3\right)}{\left(3+x \right) x}+\frac{3 \,{\mathrm e}^{-x}}{3+x}$&$42$\\ \hline \end{longtable}"," ",0,"2/(3+x)-2*x-3/x*exp(-x)","A"
8531,1,30,20,0.408000," ","int((x^4+6*x^3+9*x^2+12*x+4)*exp((x^3-8*x^2-9*x-4)/(2*x^2+2*x))/(4*x^2+8*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{2} {\mathrm e}^{\frac{x^{3}-8 x^{2}-9 x -4}{2 \left(x +1\right) x}}}{2}$&$30$\\ risch&$\frac{x^{2} {\mathrm e}^{\frac{x^{3}-8 x^{2}-9 x -4}{2 \left(x +1\right) x}}}{2}$&$30$\\ norman&$\frac{\frac{x^{2} {\mathrm e}^{\frac{x^{3}-8 x^{2}-9 x -4}{2 x^{2}+2 x}}}{2}+\frac{x^{3} {\mathrm e}^{\frac{x^{3}-8 x^{2}-9 x -4}{2 x^{2}+2 x}}}{2}}{x +1}$&$70$\\ \hline \end{longtable}"," ",0,"1/2*x^2*exp(1/2*(x^3-8*x^2-9*x-4)/(x+1)/x)","A"
8532,1,38,26,0.046000," ","int(((225*x^4+225*x^2)*ln(x^2+1)^3+(120*x^4+120*x^2)*ln(x^2+1)^2+(240*x^4-624*x^3-144*x^2+96*x-144)*ln(x^2+1)+192*x^3-576*x^2)/(16*x^6-96*x^5+160*x^4-96*x^3+144*x^2)/ln(x^2+1)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{225}{16 \left(x -3\right)}-\frac{3 \left(5 x \ln \left(x^{2}+1\right)+2\right)}{2 x \left(x -3\right) \ln \left(x^{2}+1\right)^{2}}$&$38$\\ \hline \end{longtable}"," ",0,"-225/16/(x-3)-3/2/x*(5*x*ln(x^2+1)+2)/(x-3)/ln(x^2+1)^2","A"
8533,1,29,23,0.263000," ","int((((-3*x^2-16*x-7)*exp(x)+(3*x^2+16*x+16)*ln(3)-15*x^2-80*x-80)*exp(1/9*x^3+8/9*x^2+16/9*x)+(9*x-9)*exp(x)+9*ln(3)-45)/(9*exp(x)^2+(-18*ln(3)+90)*exp(x)+9*ln(3)^2-90*ln(3)+225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x +{\mathrm e}^{\frac{1}{9} x^{3}+\frac{8}{9} x^{2}+\frac{16}{9} x}}{\ln \left(3\right)-{\mathrm e}^{x}-5}$&$29$\\ \hline \end{longtable}"," ",0,"(x+exp(1/9*x^3+8/9*x^2+16/9*x))/(ln(3)-exp(x)-5)","A"
8534,1,28,19,0.036000," ","int((-18*x+27)*ln(ln(3))+(18*x-27)*exp(24)-342*x+514,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \left(9 x \,{\mathrm e}^{24}-9 \ln \left(\ln \left(3\right)\right) x -27 \,{\mathrm e}^{24}+27 \ln \left(\ln \left(3\right)\right)-171 x +514\right)$&$28$\\ norman&$\left(-9 \ln \left(\ln \left(3\right)\right)+9 \,{\mathrm e}^{24}-171\right) x^{2}+\left(-27 \,{\mathrm e}^{24}+27 \ln \left(\ln \left(3\right)\right)+514\right) x$&$30$\\ default&$\ln \left(\ln \left(3\right)\right) \left(-9 x^{2}+27 x \right)+{\mathrm e}^{24} \left(9 x^{2}-27 x \right)-171 x^{2}+514 x$&$35$\\ risch&$-9 x^{2} \ln \left(\ln \left(3\right)\right)+27 \ln \left(\ln \left(3\right)\right) x +9 x^{2} {\mathrm e}^{24}-27 x \,{\mathrm e}^{24}-171 x^{2}+514 x$&$36$\\ \hline \end{longtable}"," ",0,"x*(9*x*exp(24)-9*ln(ln(3))*x-27*exp(24)+27*ln(ln(3))-171*x+514)","A"
8535,1,44,23,0.111000," ","int(((6*x^3-72*x^2+288*x-384)*exp(5-x)^2+(6*x^2-42*x+72)*ln(5)*exp(5-x)+6*ln(5)^2+3*x^3-36*x^2+144*x-192)/(x^3-12*x^2+48*x-64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x -\frac{3 \ln \left(5\right)^{2}}{x^{2}-8 x +16}-3 \,{\mathrm e}^{-2 x +10}-\frac{6 \ln \left(5\right) {\mathrm e}^{5-x}}{x -4}$&$44$\\ derivativedivides&$-15+3 x -\frac{3 \ln \left(5\right)^{2}}{\left(-x +4\right)^{2}}-3 \,{\mathrm e}^{-2 x +10}+\frac{6 \ln \left(5\right) {\mathrm e}^{5-x}}{-x +4}$&$46$\\ default&$-15+3 x -\frac{3 \ln \left(5\right)^{2}}{\left(-x +4\right)^{2}}-3 \,{\mathrm e}^{-2 x +10}+\frac{6 \ln \left(5\right) {\mathrm e}^{5-x}}{-x +4}$&$46$\\ norman&$\frac{-144 x +3 x^{3}-48 \,{\mathrm e}^{-2 x +10}+24 x \,{\mathrm e}^{-2 x +10}-3 x^{2} {\mathrm e}^{-2 x +10}+24 \ln \left(5\right) {\mathrm e}^{5-x}-6 \ln \left(5\right) {\mathrm e}^{5-x} x +384-3 \ln \left(5\right)^{2}}{\left(x -4\right)^{2}}$&$78$\\ \hline \end{longtable}"," ",0,"3*x-3*ln(5)^2/(x^2-8*x+16)-3*exp(-2*x+10)-6*ln(5)/(x-4)*exp(5-x)","A"
8536,1,37,27,0.425000," ","int(((-320*x^2+40*x+160)*ln(3)^2+(-480*x^3+240*x)*ln(3)-180*x^4+90*x^2)*exp(((-4*x^2+x)*ln(3)-3*x^3)/(4*ln(3)+3*x))/(16*exp(2)*ln(3)^2+24*x*exp(2)*ln(3)+9*x^2*exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$10 \,{\mathrm e}^{-2} x \,{\mathrm e}^{-\frac{x \left(4 x \ln \left(3\right)+3 x^{2}-\ln \left(3\right)\right)}{4 \ln \left(3\right)+3 x}}$&$37$\\ risch&$10 x \,{\mathrm e}^{-\frac{4 x^{2} \ln \left(3\right)+3 x^{3}-x \ln \left(3\right)+8 \ln \left(3\right)+6 x}{4 \ln \left(3\right)+3 x}}$&$42$\\ norman&$\frac{30 x^{2} {\mathrm e}^{-2} {\mathrm e}^{\frac{\left(-4 x^{2}+x \right) \ln \left(3\right)-3 x^{3}}{4 \ln \left(3\right)+3 x}}+40 \,{\mathrm e}^{-2} \ln \left(3\right) x \,{\mathrm e}^{\frac{\left(-4 x^{2}+x \right) \ln \left(3\right)-3 x^{3}}{4 \ln \left(3\right)+3 x}}}{4 \ln \left(3\right)+3 x}$&$87$\\ \hline \end{longtable}"," ",0,"10*x*exp(-x*(4*x*ln(3)+3*x^2-ln(3))/(4*ln(3)+3*x))/exp(2)","A"
8537,1,22,19,0.392000," ","int(((-2*x^2+6*x)*ln(2/(x-3))^5+(2*x^2-6*x)*ln(2/(x-3))+4*x^2)/(3*x-9)/ln(2/(x-3))^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}}{3}+\frac{x^{2}}{3 \ln \left(\frac{2}{x -3}\right)^{4}}$&$22$\\ norman&$\frac{\frac{x^{2}}{3}-\frac{x^{2} \ln \left(\frac{2}{x -3}\right)^{4}}{3}}{\ln \left(\frac{2}{x -3}\right)^{4}}$&$33$\\ derivativedivides&$-\frac{\left(x -3\right)^{2}}{3}+\frac{2 x -6}{\ln \left(\frac{2}{x -3}\right)^{4}}+\frac{\left(x -3\right)^{2}}{3 \ln \left(\frac{2}{x -3}\right)^{4}}-2 x +6+\frac{3}{\ln \left(\frac{2}{x -3}\right)^{4}}$&$57$\\ default&$-\frac{\left(x -3\right)^{2}}{3}+\frac{2 x -6}{\ln \left(\frac{2}{x -3}\right)^{4}}+\frac{\left(x -3\right)^{2}}{3 \ln \left(\frac{2}{x -3}\right)^{4}}-2 x +6+\frac{3}{\ln \left(\frac{2}{x -3}\right)^{4}}$&$57$\\ \hline \end{longtable}"," ",0,"-1/3*x^2+1/3*x^2/ln(2/(x-3))^4","A"
8538,1,17,16,0.100000," ","int((2*x^5+2*x^4+14*x^2-23*x-15)*exp(x)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(2 x^{4}+14 x +5\right) {\mathrm e}^{x}}{x^{3}}$&$17$\\ risch&$\frac{\left(2 x^{4}+14 x +5\right) {\mathrm e}^{x}}{x^{3}}$&$17$\\ default&$\frac{5 \,{\mathrm e}^{x}}{x^{3}}+\frac{14 \,{\mathrm e}^{x}}{x^{2}}+2 \,{\mathrm e}^{x} x$&$21$\\ norman&$\frac{14 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x} x^{4}+5 \,{\mathrm e}^{x}}{x^{3}}$&$22$\\ meijerg&$-\left(-2 x +2\right) {\mathrm e}^{x}+2 \,{\mathrm e}^{x}+\frac{33}{2 x}+\frac{47}{6}+\frac{14 x +14}{x}-\frac{14 \,{\mathrm e}^{x}}{x}+\frac{19}{x^{2}}-\frac{23 \left(9 x^{2}+12 x +6\right)}{12 x^{2}}+\frac{23 \left(3 x +3\right) {\mathrm e}^{x}}{6 x^{2}}+\frac{5}{x^{3}}-\frac{5 \left(22 x^{3}+36 x^{2}+36 x +24\right)}{24 x^{3}}+\frac{5 \left(4 x^{2}+4 x +8\right) {\mathrm e}^{x}}{8 x^{3}}$&$112$\\ \hline \end{longtable}"," ",0,"1/x^3*(2*x^4+14*x+5)*exp(x)","A"
8539,1,26,32,0.243000," ","int(((25*x^2-180*x+324)*exp(x)^2+(50*x^3-285*x^2+303*x+465)*exp(x)+25*x^4-180*x^3+399*x^2-150*x+270)/((25*x^2-180*x+324)*exp(5)*exp(x)^2+(50*x^3-360*x^2+648*x)*exp(5)*exp(x)+(25*x^4-180*x^3+324*x^2)*exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-5}-\frac{15 \left(x -1\right) {\mathrm e}^{-5}}{\left(5 x -18\right) \left({\mathrm e}^{x}+x \right)}$&$26$\\ norman&$\frac{-\frac{399 x \,{\mathrm e}^{-5}}{5}-\frac{324 \,{\mathrm e}^{-5} {\mathrm e}^{x}}{5}+15 \,{\mathrm e}^{-5}+5 x^{3} {\mathrm e}^{-5}+5 x^{2} {\mathrm e}^{-5} {\mathrm e}^{x}}{5 \,{\mathrm e}^{x} x +5 x^{2}-18 \,{\mathrm e}^{x}-18 x}$&$64$\\ \hline \end{longtable}"," ",0,"x*exp(-5)-15*(x-1)*exp(-5)/(5*x-18)/(exp(x)+x)","A"
8540,1,9,12,0.022000," ","int((2*x^2+1)/(x*ln(x)+x^3-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x^{2}+\ln \left(x \right)-3\right)$&$9$\\ risch&$\ln \left(x^{2}+\ln \left(x \right)-3\right)$&$9$\\ \hline \end{longtable}"," ",0,"ln(x^2+ln(x)-3)","A"
8541,1,46,25,0.069000," ","int((2*(-4*x^4-47*x^3-180*x^2-202*x+40)*ln(2)-30*x^5-358*x^4-1404*x^3-1680*x^2+476*x+720)/(2*x^3+24*x^2+96*x+128),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-15 \ln \left(2\right)-70\right) x^{3}+\left(-2 \ln \left(2\right)-\frac{79}{2}\right) x^{4}+\left(202 \ln \left(2\right)-238\right) x -5 x^{5}-656+384 \ln \left(2\right)}{\left(4+x \right)^{2}}$&$46$\\ risch&$-2 x^{2} \ln \left(2\right)-5 x^{3}+x \ln \left(2\right)+\frac{x^{2}}{2}+6 x +\frac{\left(114-6 \ln \left(2\right)\right) x +240}{x^{2}+8 x +16}$&$47$\\ default&$-2 x^{2} \ln \left(2\right)-5 x^{3}+x \ln \left(2\right)+\frac{x^{2}}{2}+6 x -\frac{-114+6 \ln \left(2\right)}{4+x}-\frac{-48 \ln \left(2\right)+432}{2 \left(4+x \right)^{2}}$&$52$\\ gosper&$-\frac{4 x^{4} \ln \left(2\right)+10 x^{5}+30 x^{3} \ln \left(2\right)+79 x^{4}+140 x^{3}-404 x \ln \left(2\right)-768 \ln \left(2\right)+476 x +1312}{2 \left(x^{2}+8 x +16\right)}$&$56$\\ \hline \end{longtable}"," ",0,"((-15*ln(2)-70)*x^3+(-2*ln(2)-79/2)*x^4+(202*ln(2)-238)*x-5*x^5-656+384*ln(2))/(4+x)^2","A"
8542,1,11,15,0.017000," ","int((-8*x^2-3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x^{2}-3 \ln \left(x \right)$&$11$\\ norman&$-4 x^{2}-3 \ln \left(x \right)$&$11$\\ risch&$-4 x^{2}-3 \ln \left(x \right)$&$11$\\ \hline \end{longtable}"," ",0,"-4*x^2-3*ln(x)","A"
8543,1,53,32,0.079000," ","int(((-exp(x)*x^3-x^2)*ln(x)^2+(16*exp(x)*x^3+16*x^2-5*x-8)*ln(x)-64*exp(x)*x^3-64*x^2+35*x+60)*exp((-x^2*ln(x)^2+(-exp(x)*x^2+13*x^2)*ln(x)+8*exp(x)*x^2-40*x^2+5*x+4)/(x^2*ln(x)-8*x^2))/(x^3*ln(x)^2-16*x^3*ln(x)+64*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x^{2} \ln \left(x \right)^{2}+x^{2} {\mathrm e}^{x} \ln \left(x \right)-13 x^{2} \ln \left(x \right)-8 \,{\mathrm e}^{x} x^{2}+40 x^{2}-5 x -4}{x^{2} \left(\ln \left(x \right)-8\right)}}$&$53$\\ \hline \end{longtable}"," ",0,"exp(-(x^2*ln(x)^2+x^2*exp(x)*ln(x)-13*x^2*ln(x)-8*exp(x)*x^2+40*x^2-5*x-4)/x^2/(ln(x)-8))","A"
8544,1,12,16,0.408000," ","int((-x^2-20*x-70)/(3*x^2+60*x+300),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x}{3}-\frac{10}{x +10}$&$12$\\ risch&$-\frac{x}{3}-\frac{10}{x +10}$&$12$\\ gosper&$-\frac{x^{2}-70}{3 \left(x +10\right)}$&$13$\\ norman&$\frac{-\frac{x^{2}}{3}+\frac{70}{3}}{x +10}$&$14$\\ meijerg&$\frac{13 x}{30 \left(1+\frac{x}{10}\right)}-\frac{x \left(\frac{3 x}{10}+6\right)}{9 \left(1+\frac{x}{10}\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-1/3*x-10/(x+10)","A"
8545,1,123,35,0.571000," ","int(((2*x^11-2*x^10)*exp(4/x)^10+(-20*x^10+20*x^9)*exp(4/x)^9+(-20*x^12+20*x^11+90*x^9-90*x^8)*exp(4/x)^8+(160*x^11-160*x^10-240*x^8+240*x^7)*exp(4/x)^7+(80*x^13-80*x^12-550*x^10+720*x^9+420*x^7-420*x^6)*exp(4/x)^6+(-480*x^12+480*x^11+1020*x^9-1920*x^8-504*x^6+504*x^5)*exp(4/x)^5+(-160*x^14+160*x^13+1180*x^11-1840*x^10-1050*x^8+3000*x^7+420*x^5-420*x^4)*exp(4/x)^4+(640*x^13-640*x^12-1360*x^10+3520*x^9+520*x^7-2720*x^6-240*x^4+240*x^3)*exp(4/x)^3+(160*x^15-160*x^14-1000*x^12+1600*x^11-25*x^10-200*x^9-3120*x^8-10*x^6+1360*x^5+90*x^3-90*x^2)*exp(4/x)^2+(-320*x^14+320*x^13+560*x^11-1280*x^10+250*x^9+880*x^8+1120*x^7-100*x^5-320*x^4-20*x^2+20*x)*exp(4/x)-64*x^16+64*x^15+240*x^13-160*x^12-150*x^11-40*x^10+160*x^9-225*x^8-100*x^7-80*x^6+30*x^4+20*x^3+2*x-2)/(x^10*exp(4/x)^10-10*x^9*exp(4/x)^9+(-10*x^11+45*x^8)*exp(4/x)^8+(80*x^10-120*x^7)*exp(4/x)^7+(40*x^12-280*x^9+210*x^6)*exp(4/x)^6+(-240*x^11+560*x^8-252*x^5)*exp(4/x)^5+(-80*x^13+600*x^10-700*x^7+210*x^4)*exp(4/x)^4+(320*x^12-800*x^9+560*x^6-120*x^3)*exp(4/x)^3+(80*x^14-480*x^11+600*x^8-280*x^5+45*x^2)*exp(4/x)^2+(-160*x^13+320*x^10-240*x^7+80*x^4-10*x)*exp(4/x)-32*x^15+80*x^12-80*x^9+40*x^6-10*x^3+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-2 x +\frac{5 \left(2 x^{4} {\mathrm e}^{\frac{16}{x}}-8 \,{\mathrm e}^{\frac{8}{x}} x^{5}+8 x^{6}-8 x^{3} {\mathrm e}^{\frac{12}{x}}+16 \,{\mathrm e}^{\frac{4}{x}} x^{4}-5 x^{4}+12 x^{2} {\mathrm e}^{\frac{8}{x}}-8 x^{3}-8 x \,{\mathrm e}^{\frac{4}{x}}+2\right) x^{5}}{\left(-x^{2} {\mathrm e}^{\frac{8}{x}}+2 x^{3}+2 x \,{\mathrm e}^{\frac{4}{x}}-1\right)^{4}}$&$123$\\ \hline \end{longtable}"," ",0,"x^2-2*x+5*(2*x^4*exp(16/x)-8*exp(8/x)*x^5+8*x^6-8*x^3*exp(12/x)+16*exp(4/x)*x^4-5*x^4+12*x^2*exp(8/x)-8*x^3-8*x*exp(4/x)+2)*x^5/(-x^2*exp(8/x)+2*x^3+2*x*exp(4/x)-1)^4","B"
8546,1,25,28,0.103000," ","int(1/2*(((2-x)*exp(2)+4*x^3)*exp(2/x)*exp(x)-12*x)/x^3/exp(2/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(-4 x^{2}+{\mathrm e}^{2}\right) {\mathrm e}^{x}}{2 x^{2}}-3 \,{\mathrm e}^{-\frac{2}{x}}$&$25$\\ norman&$\frac{\left(-3 x^{2}-\frac{{\mathrm e}^{2} {\mathrm e}^{x} {\mathrm e}^{\frac{2}{x}}}{2}+2 \,{\mathrm e}^{x} x^{2} {\mathrm e}^{\frac{2}{x}}\right) {\mathrm e}^{-\frac{2}{x}}}{x^{2}}$&$44$\\ default&$-3 \,{\mathrm e}^{-\frac{2}{x}}+{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{x}}{2 x^{2}}-\frac{{\mathrm e}^{x}}{2 x}-\frac{\expIntegralEi \left(1, -x \right)}{2}\right)-\frac{{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{x}}{x}-\expIntegralEi \left(1, -x \right)\right)}{2}+2 \,{\mathrm e}^{x}$&$58$\\ meijerg&${\mathrm e}^{2} \left(-\frac{1}{2 x^{2}}-\frac{1}{x}-\frac{3}{4}+\frac{\ln \left(x \right)}{2}+\frac{i \pi}{2}+\frac{9 x^{2}+12 x +6}{12 x^{2}}-\frac{\left(3 x +3\right) {\mathrm e}^{x}}{6 x^{2}}-\frac{\ln \left(-x \right)}{2}-\frac{\expIntegralEi \left(1, -x \right)}{2}\right)+\frac{{\mathrm e}^{2} \left(\frac{1}{x}+1-\ln \left(x \right)-i \pi -\frac{2 x +2}{2 x}+\frac{{\mathrm e}^{x}}{x}+\ln \left(-x \right)+\expIntegralEi \left(1, -x \right)\right)}{2}+2 \,{\mathrm e}^{x}+1-3 \,{\mathrm e}^{-\frac{2}{x}}$&$120$\\ \hline \end{longtable}"," ",0,"-1/2*(-4*x^2+exp(2))/x^2*exp(x)-3*exp(-2/x)","A"
8547,1,17,16,0.074000," ","int((5*x*exp(x)*exp(exp(x))+5)*exp(exp(exp(x)))+5*ln(3)+3*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}} x +x^{3}+5 x \ln \left(3\right)$&$17$\\ norman&$5 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}} x +x^{3}+5 x \ln \left(3\right)$&$17$\\ risch&$5 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}} x +x^{3}+5 x \ln \left(3\right)$&$17$\\ \hline \end{longtable}"," ",0,"5*exp(exp(exp(x)))*x+x^3+5*x*ln(3)","A"
8548,1,25,21,0.043000," ","int((((2*x^2+64)*ln(x)+2*x^3-2*x^2+64*x-64)*ln(-1+ln(x)+x)+(-2*x^2-64)*ln(x)+4*x^2-128*x)/(((x^3-32*x)*ln(x)+x^4-x^3-32*x^2+32*x)*ln(-1+ln(x)+x)+(-x^3+32*x)*ln(x)-x^4+x^3+32*x^2-32*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(x \right)+2 \ln \left(x^{2}-32\right)+2 \ln \left(\ln \left(-1+\ln \left(x \right)+x \right)-1\right)$&$25$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+2*ln(x^2-32)+2*ln(ln(-1+ln(x)+x)-1)","A"
8549,1,27,26,0.309000," ","int(((-exp(2)*exp(x)^2+((-2*x+2)*exp(2)-2*x)*exp(x)-4*x^2+2*x+2)*exp(x^2+exp(x)-x)+(exp(2)*ln(5)+(x-3)*exp(2))*exp(x)+2*ln(5)-4)/(exp(x^2+exp(x)-x)^2+(2*ln(5)+2*x-4)*exp(x^2+exp(x)-x)+ln(5)^2+(2*x-4)*ln(5)+x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2+x}+2 x}{x -2+\ln \left(5\right)+{\mathrm e}^{x^{2}+{\mathrm e}^{x}-x}}$&$27$\\ norman&$\frac{-2 \,{\mathrm e}^{x^{2}+{\mathrm e}^{x}-x}+{\mathrm e}^{2} {\mathrm e}^{x}-2 \ln \left(5\right)+4}{x -2+\ln \left(5\right)+{\mathrm e}^{x^{2}+{\mathrm e}^{x}-x}}$&$42$\\ \hline \end{longtable}"," ",0,"(exp(2+x)+2*x)/(x-2+ln(5)+exp(x^2+exp(x)-x))","A"
8550,1,45,23,0.051000," ","int(1/3*(((15*x^4+48*x^3+54*x^2+26*x+6)*ln(x)^2-2*x*ln(x)+x)*exp(1/3*((3*x^5+12*x^4+18*x^3+13*x^2+6*x)*ln(x)-x^2)/ln(x))+3*ln(x)^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{x \left(3 x^{4} \ln \left(x \right)+12 x^{3} \ln \left(x \right)+18 x^{2} \ln \left(x \right)+13 x \ln \left(x \right)+6 \ln \left(x \right)-x \right)}{3 \ln \left(x \right)}}$&$45$\\ \hline \end{longtable}"," ",0,"x+exp(1/3*x*(3*x^4*ln(x)+12*x^3*ln(x)+18*x^2*ln(x)+13*x*ln(x)+6*ln(x)-x)/ln(x))","A"
8551,1,48,23,0.111000," ","int(((-2*x^3+6*x^2-6*x+2)*exp(((-4*x^2+8*x-4)*exp(16)^2+(4*x-4)*exp(16)+20*x^2-40*x+19)/(4*x^2-8*x+4))+(2*x-2)*exp(16)-1)/(2*x^3-6*x^2+6*x-2)/exp(((-4*x^2+8*x-4)*exp(16)^2+(4*x-4)*exp(16)+20*x^2-40*x+19)/(4*x^2-8*x+4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{-\frac{-4 x^{2} {\mathrm e}^{32}+8 x \,{\mathrm e}^{32}+4 x \,{\mathrm e}^{16}+20 x^{2}-4 \,{\mathrm e}^{32}-4 \,{\mathrm e}^{16}-40 x +19}{4 \left(x -1\right)^{2}}}$&$48$\\ derivativedivides&$-x +1+{\mathrm e}^{{\mathrm e}^{32}-\frac{{\mathrm e}^{16}}{x -1}+\frac{1}{4 \left(x -1\right)^{2}}-5}-i {\mathrm e}^{16} \sqrt{\pi}\, {\mathrm e}^{-5} \erf \left(\frac{i}{2 x -2}-i {\mathrm e}^{16}\right)+i \sqrt{\pi}\, {\mathrm e}^{11} \erf \left(\frac{i}{2 x -2}-i {\mathrm e}^{16}\right)$&$93$\\ default&$-x +1+{\mathrm e}^{{\mathrm e}^{32}-\frac{{\mathrm e}^{16}}{x -1}+\frac{1}{4 \left(x -1\right)^{2}}-5}-i {\mathrm e}^{16} \sqrt{\pi}\, {\mathrm e}^{-5} \erf \left(\frac{i}{2 x -2}-i {\mathrm e}^{16}\right)+i \sqrt{\pi}\, {\mathrm e}^{11} \erf \left(\frac{i}{2 x -2}-i {\mathrm e}^{16}\right)$&$93$\\ \hline \end{longtable}"," ",0,"-x+exp(-1/4*(-4*x^2*exp(32)+8*x*exp(32)+4*x*exp(16)+20*x^2-4*exp(32)-4*exp(16)-40*x+19)/(x-1)^2)","B"
8552,1,10,19,0.029000," ","int((exp(4)^4+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\frac{{\mathrm e}^{16}}{x}$&$10$\\ risch&$x -\frac{{\mathrm e}^{16}}{x}$&$10$\\ norman&$\frac{x^{2}-{\mathrm e}^{16}}{x}$&$15$\\ gosper&$-\frac{{\mathrm e}^{16}-x^{2}}{x}$&$16$\\ \hline \end{longtable}"," ",0,"x-exp(16)/x","A"
8553,1,19,23,0.103000," ","int((3*x-3)*ln(2)*exp(x)*exp((exp(x)+2*x)/x)*exp(exp((exp(x)+2*x)/x)-ln(x)+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \ln \left(2\right) {\mathrm e}^{{\mathrm e}^{\frac{{\mathrm e}^{x}+2 x}{x}}+2}$&$19$\\ \hline \end{longtable}"," ",0,"3*ln(2)*exp(exp((exp(x)+2*x)/x)+2)","A"
8554,1,15,17,0.021000," ","int((162*ln(x)^4+x*ln(x)^3-50)/x/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$81 \ln \left(x \right)^{2}+x +\frac{25}{\ln \left(x \right)^{2}}$&$15$\\ risch&$81 \ln \left(x \right)^{2}+x +\frac{25}{\ln \left(x \right)^{2}}$&$15$\\ norman&$\frac{25+x \ln \left(x \right)^{2}+81 \ln \left(x \right)^{4}}{\ln \left(x \right)^{2}}$&$20$\\ \hline \end{longtable}"," ",0,"81*ln(x)^2+x+25/ln(x)^2","A"
8555,1,36,27,0.102000," ","int((16*x^6+128*x^5+256*x^4-x^2-24*x-16)*exp(2)^2/(x^3+8*x^2+16*x)/exp(((4+x)*ln(3*x)-4*x^5-16*x^4+9*x+20)/(4+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-4 x^{5}-16 x^{4}+x \ln \left(3 x \right)+4 \ln \left(3 x \right)+5 x +4}{4+x}}$&$36$\\ gosper&${\mathrm e}^{4} {\mathrm e}^{-\frac{-4 x^{5}-16 x^{4}+x \ln \left(3 x \right)+4 \ln \left(3 x \right)+9 x +20}{4+x}}$&$42$\\ norman&$\frac{\left(x \,{\mathrm e}^{4}+4 \,{\mathrm e}^{4}\right) {\mathrm e}^{-\frac{\left(4+x \right) \ln \left(3 x \right)-4 x^{5}-16 x^{4}+9 x +20}{4+x}}}{4+x}$&$52$\\ \hline \end{longtable}"," ",0,"exp(-(-4*x^5-16*x^4+x*ln(3*x)+4*ln(3*x)+5*x+4)/(4+x))","A"
8556,1,10,9,0.021000," ","int(2+1/2*ln(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{x \ln \left(x^{2}\right)}{2}$&$10$\\ norman&$x +\frac{x \ln \left(x^{2}\right)}{2}$&$10$\\ risch&$x +\frac{x \ln \left(x^{2}\right)}{2}$&$10$\\ \hline \end{longtable}"," ",0,"x+1/2*x*ln(x^2)","A"
8557,1,11,11,0.028000," ","int((9*x^2+91*x+225)/(9*x^3+90*x^2+225*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-\frac{1}{9 \left(5+x \right)}$&$11$\\ norman&$\ln \left(x \right)-\frac{1}{9 \left(5+x \right)}$&$11$\\ risch&$\ln \left(x \right)-\frac{1}{9 \left(5+x \right)}$&$11$\\ \hline \end{longtable}"," ",0,"ln(x)-1/9/(5+x)","A"
8558,1,34,22,0.526000," ","int((((4*x^2+4*x)*ln(5/2)-4*x^3-40*x^2-40*x)*exp(x)+(-8*x+4)*ln(5/2)^2+(16*x^2+152*x-80)*ln(5/2)-8*x^3-156*x^2-720*x+400)/(15*ln(5/2)^2+(-30*x-300)*ln(5/2)+15*x^2+300*x+1500)/exp((-exp(x)*x+2*x*ln(5/2)-2*x^2-20*x)/(ln(5/2)-x-10)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x \,{\mathrm e}^{-\frac{x \left({\mathrm e}^{x}-2 \ln \left(5\right)+2 \ln \left(2\right)+2 x +20\right)}{-\ln \left(5\right)+\ln \left(2\right)+x +10}}}{15}$&$34$\\ norman&$\frac{\left(\left(-\frac{8}{3}+\frac{4 \ln \left(5\right)}{15}-\frac{4 \ln \left(2\right)}{15}\right) x -\frac{4 x^{2}}{15}\right) {\mathrm e}^{-\frac{-{\mathrm e}^{x} x +2 x \ln \left(\frac{5}{2}\right)-2 x^{2}-20 x}{\ln \left(\frac{5}{2}\right)-x -10}}}{\ln \left(\frac{5}{2}\right)-x -10}$&$61$\\ \hline \end{longtable}"," ",0,"4/15*x*exp(-x*(exp(x)-2*ln(5)+2*ln(2)+2*x+20)/(-ln(5)+ln(2)+x+10))","A"
8559,1,280,25,0.783000," ","int(((-2*x*ln(x-2*x*ln(2))-8*x)*ln(1/(ln(x-2*x*ln(2))^2+8*ln(x-2*x*ln(2))+16))^2+4*x*ln(1/(ln(x-2*x*ln(2))^2+8*ln(x-2*x*ln(2))+16))+ln(x-2*x*ln(2))+4)*exp(-x^2*ln(1/(ln(x-2*x*ln(2))^2+8*ln(x-2*x*ln(2))+16))^2+x)/(ln(x-2*x*ln(2))+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\ln \left(x -2 x \ln \left(2\right)\right)+4\right)^{4 i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(-\left(2 \ln \left(2\right)-1\right) x \right)+4\right)^{2}\right) x^{2}} \left(\ln \left(x -2 x \ln \left(2\right)\right)+4\right)^{-4 i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(-x \right)+\ln \left(2 \ln \left(2\right)-1\right)+4\right)\right) x^{2}} {\mathrm e}^{-\frac{x \left(-x \,\pi^{2} \mathrm{csgn}\left(i \left(\ln \left(x -2 x \ln \left(2\right)\right)+4\right)^{2}\right)^{6}+4 x \,\pi^{2} \mathrm{csgn}\left(i \left(\ln \left(x -2 x \ln \left(2\right)\right)+4\right)^{2}\right)^{5} \mathrm{csgn}\left(i \left(\ln \left(x -2 x \ln \left(2\right)\right)+4\right)\right)-6 x \,\pi^{2} \mathrm{csgn}\left(i \left(\ln \left(x -2 x \ln \left(2\right)\right)+4\right)^{2}\right)^{4} \mathrm{csgn}\left(i \left(\ln \left(x -2 x \ln \left(2\right)\right)+4\right)\right)^{2}+4 x \,\pi^{2} \mathrm{csgn}\left(i \left(\ln \left(x -2 x \ln \left(2\right)\right)+4\right)^{2}\right)^{3} \mathrm{csgn}\left(i \left(\ln \left(x -2 x \ln \left(2\right)\right)+4\right)\right)^{3}-x \,\pi^{2} \mathrm{csgn}\left(i \left(\ln \left(x -2 x \ln \left(2\right)\right)+4\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x -2 x \ln \left(2\right)\right)+4\right)\right)^{4}+16 x \ln \left(\ln \left(x -2 x \ln \left(2\right)\right)+4\right)^{2}-4\right)}{4}}$&$280$\\ \hline \end{longtable}"," ",0,"((ln(x-2*x*ln(2))+4)^(2*I*Pi*csgn(I*(ln(-x)+ln(2*ln(2)-1)+4)^2)*x^2))^2*(ln(x-2*x*ln(2))+4)^(-4*I*Pi*csgn(I*(ln(-x)+ln(2*ln(2)-1)+4))*x^2)*exp(-1/4*x*(-x*Pi^2*csgn(I*(ln(x-2*x*ln(2))+4)^2)^6+4*x*Pi^2*csgn(I*(ln(x-2*x*ln(2))+4)^2)^5*csgn(I*(ln(x-2*x*ln(2))+4))-6*x*Pi^2*csgn(I*(ln(x-2*x*ln(2))+4)^2)^4*csgn(I*(ln(x-2*x*ln(2))+4))^2+4*x*Pi^2*csgn(I*(ln(x-2*x*ln(2))+4)^2)^3*csgn(I*(ln(x-2*x*ln(2))+4))^3-x*Pi^2*csgn(I*(ln(x-2*x*ln(2))+4)^2)^2*csgn(I*(ln(x-2*x*ln(2))+4))^4+16*x*ln(ln(x-2*x*ln(2))+4)^2-4))","C"
8560,0,0,25,0.650000," ","int((((8*x*exp(3)^3*ln(x^2)+(12*x+80)*exp(3)^3)*exp((2*x+10)*ln(x^2))+(-4*x^2+4*x)*exp(3)^3)*ln(exp((2*x+10)*ln(x^2))+x)^3+(((-24*x^2*exp(3)^3+216*x*exp(3)^2)*ln(x^2)+(-36*x^2-240*x)*exp(3)^3+(324*x+2160)*exp(3)^2)*exp((2*x+10)*ln(x^2))+(12*x^3-12*x^2)*exp(3)^3+(-108*x^2+108*x)*exp(3)^2)*ln(exp((2*x+10)*ln(x^2))+x)^2+(((24*x^3*exp(3)^3-432*x^2*exp(3)^2+1944*x*exp(3))*ln(x^2)+(36*x^3+240*x^2)*exp(3)^3+(-648*x^2-4320*x)*exp(3)^2+(2916*x+19440)*exp(3))*exp((2*x+10)*ln(x^2))+(-12*x^4+12*x^3)*exp(3)^3+(216*x^3-216*x^2)*exp(3)^2+(-972*x^2+972*x)*exp(3))*ln(exp((2*x+10)*ln(x^2))+x)+((-8*x^4*exp(3)^3+216*x^3*exp(3)^2-1944*x^2*exp(3)+5832*x)*ln(x^2)+(-12*x^4-80*x^3)*exp(3)^3+(324*x^3+2160*x^2)*exp(3)^2+(-2916*x^2-19440*x)*exp(3)+8748*x+58320)*exp((2*x+10)*ln(x^2))+(4*x^5-4*x^4)*exp(3)^3+(-108*x^4+108*x^3)*exp(3)^2+(972*x^3-972*x^2)*exp(3)-2916*x^2+2916*x)/(x*exp(3)^3*exp((2*x+10)*ln(x^2))+x^2*exp(3)^3),x)","\[\int \frac{\left(\left(8 x \,{\mathrm e}^{9} \ln \left(x^{2}\right)+\left(12 x +80\right) {\mathrm e}^{9}\right) {\mathrm e}^{\left(2 x +10\right) \ln \left(x^{2}\right)}+\left(-4 x^{2}+4 x \right) {\mathrm e}^{9}\right) \ln \left({\mathrm e}^{\left(2 x +10\right) \ln \left(x^{2}\right)}+x \right)^{3}+\left(\left(\left(-24 x^{2} {\mathrm e}^{9}+216 x \,{\mathrm e}^{6}\right) \ln \left(x^{2}\right)+\left(-36 x^{2}-240 x \right) {\mathrm e}^{9}+\left(324 x +2160\right) {\mathrm e}^{6}\right) {\mathrm e}^{\left(2 x +10\right) \ln \left(x^{2}\right)}+\left(12 x^{3}-12 x^{2}\right) {\mathrm e}^{9}+\left(-108 x^{2}+108 x \right) {\mathrm e}^{6}\right) \ln \left({\mathrm e}^{\left(2 x +10\right) \ln \left(x^{2}\right)}+x \right)^{2}+\left(\left(\left(24 x^{3} {\mathrm e}^{9}-432 x^{2} {\mathrm e}^{6}+1944 x \,{\mathrm e}^{3}\right) \ln \left(x^{2}\right)+\left(36 x^{3}+240 x^{2}\right) {\mathrm e}^{9}+\left(-648 x^{2}-4320 x \right) {\mathrm e}^{6}+\left(2916 x +19440\right) {\mathrm e}^{3}\right) {\mathrm e}^{\left(2 x +10\right) \ln \left(x^{2}\right)}+\left(-12 x^{4}+12 x^{3}\right) {\mathrm e}^{9}+\left(216 x^{3}-216 x^{2}\right) {\mathrm e}^{6}+\left(-972 x^{2}+972 x \right) {\mathrm e}^{3}\right) \ln \left({\mathrm e}^{\left(2 x +10\right) \ln \left(x^{2}\right)}+x \right)+\left(\left(-8 x^{4} {\mathrm e}^{9}+216 x^{3} {\mathrm e}^{6}-1944 x^{2} {\mathrm e}^{3}+5832 x \right) \ln \left(x^{2}\right)+\left(-12 x^{4}-80 x^{3}\right) {\mathrm e}^{9}+\left(324 x^{3}+2160 x^{2}\right) {\mathrm e}^{6}+\left(-2916 x^{2}-19440 x \right) {\mathrm e}^{3}+8748 x +58320\right) {\mathrm e}^{\left(2 x +10\right) \ln \left(x^{2}\right)}+\left(4 x^{5}-4 x^{4}\right) {\mathrm e}^{9}+\left(-108 x^{4}+108 x^{3}\right) {\mathrm e}^{6}+\left(972 x^{3}-972 x^{2}\right) {\mathrm e}^{3}-2916 x^{2}+2916 x}{x \,{\mathrm e}^{9} {\mathrm e}^{\left(2 x +10\right) \ln \left(x^{2}\right)}+x^{2} {\mathrm e}^{9}}\, dx\]"," ",0,"int((((8*x*exp(3)^3*ln(x^2)+(12*x+80)*exp(3)^3)*exp((2*x+10)*ln(x^2))+(-4*x^2+4*x)*exp(3)^3)*ln(exp((2*x+10)*ln(x^2))+x)^3+(((-24*x^2*exp(3)^3+216*x*exp(3)^2)*ln(x^2)+(-36*x^2-240*x)*exp(3)^3+(324*x+2160)*exp(3)^2)*exp((2*x+10)*ln(x^2))+(12*x^3-12*x^2)*exp(3)^3+(-108*x^2+108*x)*exp(3)^2)*ln(exp((2*x+10)*ln(x^2))+x)^2+(((24*x^3*exp(3)^3-432*x^2*exp(3)^2+1944*x*exp(3))*ln(x^2)+(36*x^3+240*x^2)*exp(3)^3+(-648*x^2-4320*x)*exp(3)^2+(2916*x+19440)*exp(3))*exp((2*x+10)*ln(x^2))+(-12*x^4+12*x^3)*exp(3)^3+(216*x^3-216*x^2)*exp(3)^2+(-972*x^2+972*x)*exp(3))*ln(exp((2*x+10)*ln(x^2))+x)+((-8*x^4*exp(3)^3+216*x^3*exp(3)^2-1944*x^2*exp(3)+5832*x)*ln(x^2)+(-12*x^4-80*x^3)*exp(3)^3+(324*x^3+2160*x^2)*exp(3)^2+(-2916*x^2-19440*x)*exp(3)+8748*x+58320)*exp((2*x+10)*ln(x^2))+(4*x^5-4*x^4)*exp(3)^3+(-108*x^4+108*x^3)*exp(3)^2+(972*x^3-972*x^2)*exp(3)-2916*x^2+2916*x)/(x*exp(3)^3*exp((2*x+10)*ln(x^2))+x^2*exp(3)^3),x)","F"
8561,1,27,25,0.135000," ","int(((x*exp(x)*ln(x)^2-8*x*exp(x)*ln(x)+(x^2+16*x)*exp(x))*exp(exp(x))-2*x^2*exp(x^2+2)*ln(x)^2+(16*x^2*exp(x^2+2)+2)*ln(x)+(-2*x^3-32*x^2)*exp(x^2+2)-8+x)*exp(exp(exp(x))-exp(x^2+2))*exp((ln(x)^2-8*ln(x)+x+16)*exp(exp(exp(x))-exp(x^2+2)))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\left(\ln \left(x \right)^{2}-8 \ln \left(x \right)+x +16\right) {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}-{\mathrm e}^{x^{2}+2}}}$&$27$\\ \hline \end{longtable}"," ",0,"exp((ln(x)^2-8*ln(x)+x+16)*exp(exp(exp(x))-exp(x^2+2)))","A"
8562,1,17,14,0.015000," ","int(15/2*exp(4)^2+15*exp(2)*exp(4)+15/2*exp(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{15 x \,{\mathrm e}^{8}}{2}+15 x \,{\mathrm e}^{6}+\frac{15 x \,{\mathrm e}^{4}}{2}$&$17$\\ default&$\left(\frac{15 \,{\mathrm e}^{8}}{2}+15 \,{\mathrm e}^{2} {\mathrm e}^{4}+\frac{15 \,{\mathrm e}^{4}}{2}\right) x$&$22$\\ norman&$\left(\frac{15 \,{\mathrm e}^{8}}{2}+15 \,{\mathrm e}^{2} {\mathrm e}^{4}+\frac{15 \,{\mathrm e}^{4}}{2}\right) x$&$22$\\ \hline \end{longtable}"," ",0,"15/2*x*exp(8)+15*x*exp(6)+15/2*x*exp(4)","A"
8563,1,24,15,0.034000," ","int(6*x^2*exp(exp(5)+x^3-4/3)^2-12*x^2*exp(2)*exp(exp(5)+x^3-4/3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{2 \,{\mathrm e}^{5}+2 x^{3}-\frac{8}{3}}-4 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{5}+x^{3}-\frac{4}{3}}$&$24$\\ norman&${\mathrm e}^{2 \,{\mathrm e}^{5}+2 x^{3}-\frac{8}{3}}-4 \,{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{5}+x^{3}-\frac{4}{3}}$&$24$\\ risch&${\mathrm e}^{2 \,{\mathrm e}^{5}+2 x^{3}-\frac{8}{3}}-4 \,{\mathrm e}^{\frac{2}{3}+{\mathrm e}^{5}+x^{3}}$&$24$\\ \hline \end{longtable}"," ",0,"exp(exp(5)+x^3-4/3)^2-4*exp(2)*exp(exp(5)+x^3-4/3)","A"
8564,1,15,16,0.060000," ","int((-120*ln(2)*ln(x)+(120*x^2-240*x+120)*ln(2))*exp((ln(x)+x^2)/x)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{120 \ln \left(2\right) x^{\frac{1}{x}} {\mathrm e}^{x}}{x^{2}}$&$15$\\ norman&$\frac{120 \ln \left(2\right) {\mathrm e}^{\frac{\ln \left(x \right)+x^{2}}{x}}}{x^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"120/x^2*ln(2)*x^(1/x)*exp(x)","A"
8565,1,134,30,0.163000," ","int((ln(5*x/exp(x^2))-2*x^2+1)*exp(x*ln(5*x/exp(x^2)))+ln(4*ln(2)^2)-3*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \left(i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x^{2}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x^{2}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right)-i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x^{2}}\right)^{3}+i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-x^{2}}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right)+2 \ln \left(x \right)+2 \ln \left(5\right)-2 \ln \left({\mathrm e}^{x^{2}}\right)\right)}{2}}+2 x \ln \left(2\right)+2 x \ln \left(\ln \left(2\right)\right)-x^{3}$&$134$\\ \hline \end{longtable}"," ",0,"exp(1/2*x*(I*Pi*csgn(I*x)*csgn(I*x*exp(-x^2))^2-I*Pi*csgn(I*x)*csgn(I*x*exp(-x^2))*csgn(I*exp(-x^2))-I*Pi*csgn(I*x*exp(-x^2))^3+I*Pi*csgn(I*x*exp(-x^2))^2*csgn(I*exp(-x^2))+2*ln(x)+2*ln(5)-2*ln(exp(x^2))))+2*x*ln(2)+2*x*ln(ln(2))-x^3","C"
8566,1,23,21,0.082000," ","int(((512*x^2+3*x)*ln(x)*ln(ln(x))+(-1024*x^4-9*x^3+2*x^2)*ln(x)+256*x^2+3*x-1)/((256*x^3+3*x^2-x)*ln(x)*ln(ln(x))+(-256*x^5-3*x^4+x^3)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(256 x^{2}+3 x -1\right)+\ln \left(\ln \left(\ln \left(x \right)\right)-x^{2}\right)$&$23$\\ \hline \end{longtable}"," ",0,"ln(256*x^2+3*x-1)+ln(ln(ln(x))-x^2)","A"
8567,1,32,29,0.072000," ","int(((-4*x+60)*exp(x)^3+(-8*x^2+84*x+36)*exp(x)^2+(-5*x^3+57*x^2+18*x)*exp(x)-x^4+15*x^3)*exp(1/36*x^2-5/6*x+25/4)^2/(225*exp(x)^3+675*x*exp(x)^2+675*exp(x)*x^2+225*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x^{2}+4 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{2 x}\right) {\mathrm e}^{\frac{\left(x -15\right)^{2}}{18}}}{25 \left({\mathrm e}^{x}+x \right)^{2}}$&$32$\\ \hline \end{longtable}"," ",0,"-1/25*(x^2+4*exp(x)*x+4*exp(2*x))/(exp(x)+x)^2*exp(1/18*(x-15)^2)","A"
8568,1,56,27,0.172000," ","int(((-16*x^4-16*x^3+16*x^2-16)*exp(x^2)+8*x+8)*exp((4*x^2+8*x+4)/((x^2-2*x+1)*exp(x^2)^2+(-2*x^2+2*x)*exp(x^2)+x^2))/((x^3-3*x^2+3*x-1)*exp(x^2)^3+(-3*x^3+6*x^2-3*x)*exp(x^2)^2+(3*x^3-3*x^2)*exp(x^2)-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{4 \left(x +1\right)^{2}}{-2 x^{2} {\mathrm e}^{x^{2}}+{\mathrm e}^{2 x^{2}} x^{2}+2 \,{\mathrm e}^{x^{2}} x -2 x \,{\mathrm e}^{2 x^{2}}+x^{2}+{\mathrm e}^{2 x^{2}}}}$&$56$\\ \hline \end{longtable}"," ",0,"exp(4*(x+1)^2/(-2*x^2*exp(x^2)+exp(2*x^2)*x^2+2*exp(x^2)*x-2*x*exp(2*x^2)+x^2+exp(2*x^2)))","B"
8569,1,55,26,0.063000," ","int(1/10*((5*ln(x)-5)*ln(x^2)^2-20*ln(x)*ln(x^2)-2*x^2*exp(-x+25))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{2 \ln \left(x \right)^{3}}{x}-\frac{2 \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right) \ln \left(x \right)^{2}}{x}-\frac{\left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right)^{2} \ln \left(x \right)}{2 x}+\frac{{\mathrm e}^{-x +25}}{5}$&$55$\\ risch&$-\frac{2 \ln \left(x \right)^{3}}{x}+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(\mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{2}\right) \ln \left(x \right)^{2}}{x}+\frac{\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \left(\mathrm{csgn}\left(i x \right)^{4}-4 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{3}+6 \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{2}-4 \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{4}\right) \ln \left(x \right)}{8 x}+\frac{{\mathrm e}^{-x +25}}{5}$&$154$\\ \hline \end{longtable}"," ",0,"-2/x*ln(x)^3-2*(ln(x^2)-2*ln(x))/x*ln(x)^2-1/2*(ln(x^2)-2*ln(x))^2/x*ln(x)+1/5*exp(-x+25)","B"
8570,1,15,19,0.060000," ","int(1/5*(-ln(-exp(x))+5*exp(x)*x^2+5*x^2+x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{\ln \left(-{\mathrm e}^{x}\right)}{5 x}+{\mathrm e}^{x}$&$15$\\ norman&$\frac{{\mathrm e}^{x} x +x \ln \left(-{\mathrm e}^{x}\right)+\frac{\ln \left(-{\mathrm e}^{x}\right)}{5}}{x}$&$24$\\ risch&$\frac{\ln \left({\mathrm e}^{x}\right)}{5 x}+\frac{-2 i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2}+2 i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{3}+2 i \pi +10 x^{2}+10 \,{\mathrm e}^{x} x}{10 x}$&$54$\\ \hline \end{longtable}"," ",0,"x+1/5*ln(-exp(x))/x+exp(x)","A"
8571,1,21,21,0.053000," ","int(((-34*x+1)*exp(3)-867*x^6+102*x^5-105*x^4+6*x^3-3*x^2)/(289*x^4-34*x^3+35*x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{3}}{17 x^{2}-x +1}-x^{3}$&$21$\\ default&$\frac{{\mathrm e}^{3}}{17 x^{2}-x +1}-x^{3}$&$22$\\ gosper&$\frac{-17 x^{5}+x^{4}-x^{3}+{\mathrm e}^{3}}{17 x^{2}-x +1}$&$30$\\ norman&$\frac{-17 x^{5}+x^{4}-x^{3}+{\mathrm e}^{3}}{17 x^{2}-x +1}$&$30$\\ \hline \end{longtable}"," ",0,"-x^3+1/17*exp(3)/(x^2-1/17*x+1/17)","A"
8572,1,17,17,0.030000," ","int((exp(2)-9*x^2-10*x)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -5 x^{2} {\mathrm e}^{-2}-3 \,{\mathrm e}^{-2} x^{3}$&$17$\\ gosper&$x \left(-3 x^{2}+{\mathrm e}^{2}-5 x \right) {\mathrm e}^{-2}$&$18$\\ default&$\left(-3 x^{3}-5 x^{2}+{\mathrm e}^{2} x \right) {\mathrm e}^{-2}$&$21$\\ norman&$x -5 x^{2} {\mathrm e}^{-2}-3 \,{\mathrm e}^{-2} x^{3}$&$21$\\ \hline \end{longtable}"," ",0,"x-5*x^2*exp(-2)-3*exp(-2)*x^3","A"
8573,1,15,14,0.379000," ","int(((2*x^2-30*x)*ln(-4*x+60)+x^2-3*x+45)/(x-15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(-4 x +60\right) x^{2}-3 x$&$15$\\ risch&$\ln \left(-4 x +60\right) x^{2}-3 x$&$15$\\ derivativedivides&$\frac{\ln \left(-4 x +60\right) \left(-4 x +60\right)^{2}}{16}-\frac{15 \ln \left(-4 x +60\right) \left(-4 x +60\right)}{2}-3 x +45+225 \ln \left(-4 x +60\right)$&$42$\\ default&$\frac{\ln \left(-4 x +60\right) \left(-4 x +60\right)^{2}}{16}-\frac{15 \ln \left(-4 x +60\right) \left(-4 x +60\right)}{2}-3 x +45+225 \ln \left(-4 x +60\right)$&$42$\\ \hline \end{longtable}"," ",0,"ln(-4*x+60)*x^2-3*x","A"
8574,1,22,18,0.144000," ","int(((3*x^3*exp(4)-3*x^4-9*x^3)*ln(-x*exp(4)+x^2+3*x)^2+(12*x^3*exp(4)-12*x^4-36*x^3)*ln(-x*exp(4)+x^2+3*x)+(12*x^3-1)*exp(4)-12*x^4-36*x^3+2*x+3)/((x*exp(4)-x^2-3*x)*ln(-x*exp(4)+x^2+3*x)^2+(4*x*exp(4)-4*x^2-12*x)*ln(-x*exp(4)+x^2+3*x)+4*x*exp(4)-4*x^2-12*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+\frac{1}{\ln \left(-x \,{\mathrm e}^{4}+x^{2}+3 x \right)+2}$&$22$\\ norman&$\frac{x^{3} \ln \left(-x \,{\mathrm e}^{4}+x^{2}+3 x \right)+2 x^{3}+1}{\ln \left(-x \,{\mathrm e}^{4}+x^{2}+3 x \right)+2}$&$43$\\ \hline \end{longtable}"," ",0,"x^3+1/(ln(-x*exp(4)+x^2+3*x)+2)","A"
8575,1,20,26,0.029000," ","int((-2*x^5+x^4+8*x^3+5*x^2+30*x+15)/(x^4+2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+5 x -\frac{15}{x \left(x +1\right)}$&$20$\\ default&$-x^{2}+5 x +\frac{15}{x +1}-\frac{15}{x}$&$22$\\ gosper&$-\frac{x^{4}-4 x^{3}+5 x +15}{x \left(x +1\right)}$&$24$\\ norman&$\frac{-x^{4}+4 x^{3}-5 x -15}{\left(x +1\right) x}$&$25$\\ \hline \end{longtable}"," ",0,"-x^2+5*x-15/x/(x+1)","A"
8576,1,23,21,0.025000," ","int(5*exp(5*x)+6*exp(x)^3+(7+2*x)*exp(x)^2-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{5 x}+2 \,{\mathrm e}^{3 x}+\left(3+x \right) {\mathrm e}^{2 x}-x$&$23$\\ default&$-x +3 \,{\mathrm e}^{2 x}+x \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{3 x}+{\mathrm e}^{5 x}$&$27$\\ norman&$-x +3 \,{\mathrm e}^{2 x}+x \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{3 x}+{\mathrm e}^{5 x}$&$27$\\ \hline \end{longtable}"," ",0,"exp(5*x)+2*exp(3*x)+(3+x)*exp(2*x)-x","A"
8577,1,545,29,0.533000," ","int((((-2*x^4-16*x)*ln(x^2)-8*x^4-64*x)*ln(exp(x)*ln(x^2)+4*exp(x))+(-2*x^6+2*x^5+16*x^3-32*x^2-32)*ln(x^2)-8*x^6+8*x^5+4*x^4+64*x^3-128*x^2-16*x-128)*exp((x^2*ln(exp(x)*ln(x^2)+4*exp(x))-x^4+x^3+4*x)/(x^3-4))/((x^6-8*x^3+16)*ln(x^2)+4*x^6-32*x^3+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{-\frac{x \left(-i x \pi  \mathrm{csgn}\left(i {\mathrm e}^{x} \left(8 i+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)\right)^{3}-i x \pi  \mathrm{csgn}\left(i {\mathrm e}^{x} \left(8 i+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-i x \pi  \mathrm{csgn}\left(i {\mathrm e}^{x} \left(8 i+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)\right)^{2} \mathrm{csgn}\left(i \left(8 i+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)\right)+i x \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x} \left(8 i+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i \left(8 i+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)\right)+2 i x \pi  \mathrm{csgn}\left(i {\mathrm e}^{x} \left(8 i+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)\right)^{2}-2 i \pi  x +2 x^{3}+2 x \ln \left(2\right)-2 x \ln \left({\mathrm e}^{x}\right)-2 x \ln \left(8 i+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}\right)-2 x^{2}-8\right)}{2 \left(x^{3}-4\right)}}$&$545$\\ \hline \end{longtable}"," ",0,"2*exp(-1/2*x*(-I*x*Pi*csgn(I*exp(x)*(8*I+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))^3-I*x*Pi*csgn(I*exp(x)*(8*I+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))^2*csgn(I*exp(x))-I*x*Pi*csgn(I*exp(x)*(8*I+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))^2*csgn(I*(8*I+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))+I*x*Pi*csgn(I*exp(x)*(8*I+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))*csgn(I*exp(x))*csgn(I*(8*I+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))+2*I*x*Pi*csgn(I*exp(x)*(8*I+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3))^2-2*I*Pi*x+2*x^3+2*x*ln(2)-2*x*ln(exp(x))-2*x*ln(8*I+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+4*I*ln(x)+Pi*csgn(I*x^2)^3)-2*x^2-8)/(x^3-4))","C"
8578,1,109,25,0.032000," ","int((-4*ln(x)^4+4*ln(x)^3+(32*ln(2)^2+24*x*ln(2)*ln(3)+4*x^2*ln(3)^2+24)*ln(x)^2+(-16*ln(2)^2-16*x*ln(2)*ln(3)-4*x^2*ln(3)^2-12)*ln(x)-64*ln(2)^4-96*x*ln(3)*ln(2)^3+4*(-12*x^2*ln(3)^2-24)*ln(2)^2+2*(-4*x^3*ln(3)^3-36*x*ln(3))*ln(2)-12*x^2*ln(3)^2-36)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{4}}{x^{4}}-\frac{2 \left(x^{2} \ln \left(3\right)^{2}+4 x \ln \left(2\right) \ln \left(3\right)+4 \ln \left(2\right)^{2}+3\right) \ln \left(x \right)^{2}}{x^{4}}+\frac{8 \ln \left(3\right)^{3} \ln \left(2\right) x^{3}+24 x^{2} \ln \left(3\right)^{2} \ln \left(2\right)^{2}+32 x \ln \left(3\right) \ln \left(2\right)^{3}+6 x^{2} \ln \left(3\right)^{2}+16 \ln \left(2\right)^{4}+24 x \ln \left(2\right) \ln \left(3\right)+24 \ln \left(2\right)^{2}+9}{x^{4}}$&$109$\\ default&$\frac{24 \ln \left(2\right)^{2}}{x^{4}}+\frac{9}{x^{4}}+\frac{6 \ln \left(3\right)^{2}}{x^{2}}+\frac{24 \ln \left(2\right) \ln \left(3\right)}{x^{3}}+24 \ln \left(2\right) \ln \left(3\right) \left(-\frac{\ln \left(x \right)^{2}}{3 x^{3}}-\frac{2 \ln \left(x \right)}{9 x^{3}}-\frac{2}{27 x^{3}}\right)+32 \ln \left(2\right)^{2} \left(-\frac{\ln \left(x \right)^{2}}{4 x^{4}}-\frac{\ln \left(x \right)}{8 x^{4}}-\frac{1}{32 x^{4}}\right)+\frac{16 \ln \left(2\right)^{4}}{x^{4}}-16 \ln \left(2\right)^{2} \left(-\frac{\ln \left(x \right)}{4 x^{4}}-\frac{1}{16 x^{4}}\right)+\frac{32 \ln \left(2\right)^{3} \ln \left(3\right)}{x^{3}}+\frac{8 \ln \left(2\right) \ln \left(3\right)^{3}}{x}+\frac{24 \ln \left(3\right)^{2} \ln \left(2\right)^{2}}{x^{2}}+4 \ln \left(3\right)^{2} \left(-\frac{\ln \left(x \right)^{2}}{2 x^{2}}-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)-4 \ln \left(3\right)^{2} \left(-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)+\frac{\ln \left(x \right)^{4}}{x^{4}}-\frac{6 \ln \left(x \right)^{2}}{x^{4}}-16 \ln \left(2\right) \ln \left(3\right) \left(-\frac{\ln \left(x \right)}{3 x^{3}}-\frac{1}{9 x^{3}}\right)$&$236$\\ \hline \end{longtable}"," ",0,"1/x^4*ln(x)^4-2*(x^2*ln(3)^2+4*x*ln(2)*ln(3)+4*ln(2)^2+3)/x^4*ln(x)^2+(8*ln(3)^3*ln(2)*x^3+24*x^2*ln(3)^2*ln(2)^2+32*x*ln(3)*ln(2)^3+6*x^2*ln(3)^2+16*ln(2)^4+24*x*ln(2)*ln(3)+24*ln(2)^2+9)/x^4","B"
8579,1,18,19,0.094000," ","int((((1-2*x)*ln(x)+x-1)*exp(ln(x)/(x^2-x))+11*x^4-22*x^3+11*x^2)/(5*x^4-10*x^3+5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{11 x}{5}+\frac{x^{\frac{1}{x \left(x -1\right)}}}{5}$&$18$\\ norman&$\frac{-\frac{11 x}{5}+\frac{11 x^{3}}{5}-\frac{x \,{\mathrm e}^{\frac{\ln \left(x \right)}{x^{2}-x}}}{5}+\frac{x^{2} {\mathrm e}^{\frac{\ln \left(x \right)}{x^{2}-x}}}{5}}{x \left(x -1\right)}$&$53$\\ \hline \end{longtable}"," ",0,"11/5*x+1/5*x^(1/x/(x-1))","A"
8580,1,15,21,0.385000," ","int(((2*x+10)*ln(3)*ln(5+x)-2*x*ln(3)-x-5)/(2*x^3+10*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{1}{2}-\ln \left(3\right) \ln \left(5+x \right)}{x}$&$15$\\ risch&$-\frac{\ln \left(5+x \right) \ln \left(3\right)}{x}+\frac{1}{2 x}$&$18$\\ derivativedivides&$-\frac{\ln \left(3\right) \ln \left(5+x \right) \left(5+x \right)}{5 x}+\frac{\ln \left(3\right) \ln \left(5+x \right)}{5}+\frac{1}{2 x}$&$29$\\ default&$-\frac{\ln \left(3\right) \ln \left(5+x \right) \left(5+x \right)}{5 x}+\frac{\ln \left(3\right) \ln \left(5+x \right)}{5}+\frac{1}{2 x}$&$29$\\ \hline \end{longtable}"," ",0,"(1/2-ln(3)*ln(5+x))/x","A"
8581,1,56,32,0.169000," ","int(((-3*exp(exp(x)-3)-3*exp(x)^2+3*x^2)*ln(-exp(exp(x)-3)-exp(x)^2+x^2)+(-3*ln(x)-3*exp(x)*x-3)*exp(exp(x)-3)+(-3*exp(x)^2+3*x^2)*ln(x)+(-6*x-3)*exp(x)^2+9*x^2)/((x^2*exp(exp(x)-3)+exp(x)^2*x^2-x^4)*ln(-exp(exp(x)-3)-exp(x)^2+x^2)^2+((2*x^2*ln(x)-3*x)*exp(exp(x)-3)+(2*exp(x)^2*x^2-2*x^4)*ln(x)-3*x*exp(x)^2+3*x^3)*ln(-exp(exp(x)-3)-exp(x)^2+x^2)+(x^2*ln(x)^2-3*x*ln(x))*exp(exp(x)-3)+(exp(x)^2*x^2-x^4)*ln(x)^2+(-3*x*exp(x)^2+3*x^3)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(-{\mathrm e}^{{\mathrm e}^{x}-3}-{\mathrm e}^{2 x}+x^{2}\right)+\ln \left(x \right)\right)-\ln \left(\ln \left(-{\mathrm e}^{{\mathrm e}^{x}-3}-{\mathrm e}^{2 x}+x^{2}\right)+\frac{x \ln \left(x \right)-3}{x}\right)$&$56$\\ \hline \end{longtable}"," ",0,"ln(ln(-exp(exp(x)-3)-exp(2*x)+x^2)+ln(x))-ln(ln(-exp(exp(x)-3)-exp(2*x)+x^2)+(x*ln(x)-3)/x)","A"
8582,1,19,19,0.065000," ","int(((4*x-92)*ln(x)+(-4*x+92)*ln(23-x)+16*x-391)/((x^2-23*x)*ln(x)+(-x^2+23*x)*ln(23-x)+4*x^2-92*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 \ln \left(x \right)+\ln \left(4+\ln \left(x \right)-\ln \left(23-x \right)\right)$&$19$\\ risch&$4 \ln \left(x \right)+\ln \left(-\ln \left(x \right)+\ln \left(23-x \right)-4\right)$&$19$\\ \hline \end{longtable}"," ",0,"4*ln(x)+ln(4+ln(x)-ln(23-x))","A"
8583,1,21,25,0.069000," ","int(4*ln(2)*exp(x*ln(2))*exp(2*exp(x*ln(2)))-64*exp(3-x)^2+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+32 \,{\mathrm e}^{6-2 x}+2 \,{\mathrm e}^{2 \,2^{x}}$&$21$\\ default&$x^{2}+32 \,{\mathrm e}^{6-2 x}+2 \,{\mathrm e}^{2 \,{\mathrm e}^{x \ln \left(2\right)}}$&$25$\\ norman&$x^{2}+32 \,{\mathrm e}^{6-2 x}+2 \,{\mathrm e}^{2 \,{\mathrm e}^{x \ln \left(2\right)}}$&$25$\\ \hline \end{longtable}"," ",0,"x^2+32*exp(6-2*x)+2*exp(2*2^x)","A"
8584,1,29,27,0.059000," ","int(1/3*(-9*ln(x^2)+(-x^2+18)*exp(exp(5))+2*x+18)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x \,{\mathrm e}^{{\mathrm e}^{5}}}{3}+\frac{2 \ln \left(x \right)}{3}-\frac{6 \,{\mathrm e}^{{\mathrm e}^{5}}}{x}+\frac{3 \ln \left(x^{2}\right)}{x}$&$29$\\ norman&$\frac{\frac{x \ln \left(x^{2}\right)}{3}-\frac{x^{2} {\mathrm e}^{{\mathrm e}^{5}}}{3}-6 \,{\mathrm e}^{{\mathrm e}^{5}}+3 \ln \left(x^{2}\right)}{x}$&$32$\\ risch&$\frac{3 \ln \left(x^{2}\right)}{x}+\frac{-x^{2} {\mathrm e}^{{\mathrm e}^{5}}+2 x \ln \left(x \right)-18 \,{\mathrm e}^{{\mathrm e}^{5}}}{3 x}$&$35$\\ \hline \end{longtable}"," ",0,"-1/3*x*exp(exp(5))+2/3*ln(x)-6/x*exp(exp(5))+3*ln(x^2)/x","A"
8585,1,17,27,0.444000," ","int(((15*x^2-60*x+60)*exp(x)*exp(exp(x))+15*x^2-60*x+90)/(x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{30}{x -2}+15 x +15 \,{\mathrm e}^{{\mathrm e}^{x}}$&$17$\\ norman&$\frac{15 x^{2}+15 x \,{\mathrm e}^{{\mathrm e}^{x}}-30 \,{\mathrm e}^{{\mathrm e}^{x}}-90}{x -2}$&$25$\\ \hline \end{longtable}"," ",0,"-30/(x-2)+15*x+15*exp(exp(x))","A"
8586,1,16,15,0.048000," ","int((4*x*ln(81/16*x)-4*exp(9)+12*x-4)/(x*ln(81/16*x)^2+8*x*ln(81/16*x)+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x +4+4 \,{\mathrm e}^{9}}{\ln \left(\frac{81 x}{16}\right)+4}$&$16$\\ norman&$\frac{4 x +4+4 \,{\mathrm e}^{9}}{\ln \left(\frac{81 x}{16}\right)+4}$&$19$\\ \hline \end{longtable}"," ",0,"4*(x+1+exp(9))/(ln(81/16*x)+4)","A"
8587,1,25,26,0.033000," ","int(((6*x*exp(x)^2-exp(x)*x-2*x^2-x)*ln(x)-3)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}-x +3 \,{\mathrm e}^{2 x}-3 \ln \left(\ln \left(x \right)\right)-{\mathrm e}^{x}$&$25$\\ norman&$-x^{2}-x +3 \,{\mathrm e}^{2 x}-3 \ln \left(\ln \left(x \right)\right)-{\mathrm e}^{x}$&$25$\\ risch&$-x^{2}-x +3 \,{\mathrm e}^{2 x}-3 \ln \left(\ln \left(x \right)\right)-{\mathrm e}^{x}$&$25$\\ \hline \end{longtable}"," ",0,"-x^2-x+3*exp(x)^2-3*ln(ln(x))-exp(x)","A"
8588,1,58,32,0.056000," ","int(((-6*x^6-3*x^5-6*x^4-36*x^3)*exp(2*x)+(x^3-2*x-10)*exp(5)+12*x^6-9*x^5+12*x^4+15*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x^{4}-3 x^{3}+x \,{\mathrm e}^{5}+6 x^{2}+15 x +\frac{2 x \,{\mathrm e}^{5}+5 \,{\mathrm e}^{5}}{x^{2}}+\left(-3 x^{3}+3 x^{2}-6 x -15\right) {\mathrm e}^{2 x}$&$58$\\ derivativedivides&$-3 x^{3}+6 x^{2}+15 x +3 x^{4}+\frac{5 \,{\mathrm e}^{5}}{x^{2}}+\frac{2 \,{\mathrm e}^{5}}{x}-6 x \,{\mathrm e}^{2 x}-15 \,{\mathrm e}^{2 x}+3 \,{\mathrm e}^{2 x} x^{2}-3 \,{\mathrm e}^{2 x} x^{3}+x \,{\mathrm e}^{5}$&$69$\\ default&$-3 x^{3}+6 x^{2}+15 x +3 x^{4}+\frac{5 \,{\mathrm e}^{5}}{x^{2}}+\frac{2 \,{\mathrm e}^{5}}{x}-6 x \,{\mathrm e}^{2 x}-15 \,{\mathrm e}^{2 x}+3 \,{\mathrm e}^{2 x} x^{2}-3 \,{\mathrm e}^{2 x} x^{3}+x \,{\mathrm e}^{5}$&$69$\\ norman&$\frac{\left({\mathrm e}^{5}+15\right) x^{3}+6 x^{4}-3 x^{5}+3 x^{6}+2 x \,{\mathrm e}^{5}-3 x^{5} {\mathrm e}^{2 x}-15 \,{\mathrm e}^{2 x} x^{2}-6 \,{\mathrm e}^{2 x} x^{3}+3 \,{\mathrm e}^{2 x} x^{4}+5 \,{\mathrm e}^{5}}{x^{2}}$&$74$\\ \hline \end{longtable}"," ",0,"3*x^4-3*x^3+x*exp(5)+6*x^2+15*x+(2*x*exp(5)+5*exp(5))/x^2+(-3*x^3+3*x^2-6*x-15)*exp(2*x)","A"
8589,1,24,26,0.299000," ","int(((4*exp(5)*ln(2)^2+4*x^2*exp(5)*ln(2)+(x^4+50*x^2-200*x)*exp(5))*exp(25/(x^2+2*ln(2)))-4*exp(5)*ln(2)^2-4*x^2*exp(5)*ln(2)-x^4*exp(5))/((4*ln(2)^2+4*x^2*ln(2)+x^4)*exp(25/(x^2+2*ln(2)))^2+(-8*ln(2)^2-8*x^2*ln(2)-2*x^4)*exp(25/(x^2+2*ln(2)))+4*ln(2)^2+4*x^2*ln(2)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x -4\right) {\mathrm e}^{5}}{{\mathrm e}^{\frac{25}{x^{2}+2 \ln \left(2\right)}}-1}$&$24$\\ norman&$\frac{x^{3} {\mathrm e}^{5}-4 x^{2} {\mathrm e}^{5}-8 \,{\mathrm e}^{5} \ln \left(2\right)+2 x \,{\mathrm e}^{5} \ln \left(2\right)}{\left({\mathrm e}^{\frac{25}{x^{2}+2 \ln \left(2\right)}}-1\right) \left(x^{2}+2 \ln \left(2\right)\right)}$&$56$\\ \hline \end{longtable}"," ",0,"(x-4)*exp(5)/(exp(25/(x^2+2*ln(2)))-1)","A"
8590,1,15428,20,1.927000," ","int(((-x^7+3*x^6-3*x^3+9*x^2)*ln((x^4+3)/x^2)^4+(8*x^6-24*x^2)*ln((x^4+3)/x^2)^3)/(x^4+3)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$15428$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
8591,1,46,24,0.421000," ","int(((4*x^5+31*x^4+76*x^3+60*x^2)*ln(x)*ln(ln(x))+(8*x^5+71*x^4+208*x^3+221*x^2+20*x+12)*ln(x)+x^5+9*x^4+24*x^3+20*x^2)/(x^2+4*x+4)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{4}+5 x^{3}\right) \ln \left(\ln \left(x \right)\right)+\frac{2 x^{5}+17 x^{4}+36 x^{3}+5 x^{2}-30 x -72}{2+x}$&$46$\\ \hline \end{longtable}"," ",0,"(x^4+5*x^3)*ln(ln(x))+(2*x^5+17*x^4+36*x^3+5*x^2-30*x-72)/(2+x)","A"
8592,1,33,20,0.044000," ","int(((54*x^2+4*x)*ln(x)^2+(36*x^2+4*x)*ln(x)+72*x^3+6*x^2)*exp(ln(ln(x)^2+x)+3)/(ln(x)^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{3} \left(18 x^{3} \ln \left(x \right)^{2}+2 x^{2} \ln \left(x \right)^{2}+2 x^{3}+18 x^{4}\right)$&$33$\\ risch&${\mathrm e}^{3} \left(18 x^{3}+2 x^{2}\right) \ln \left(x \right)^{2}+18 x^{4} {\mathrm e}^{3}+2 x^{3} {\mathrm e}^{3}$&$34$\\ norman&$2 x^{3} {\mathrm e}^{3}+18 x^{4} {\mathrm e}^{3}+2 x^{2} {\mathrm e}^{3} \ln \left(x \right)^{2}+18 x^{3} {\mathrm e}^{3} \ln \left(x \right)^{2}$&$38$\\ \hline \end{longtable}"," ",0,"exp(3)*(18*x^3*ln(x)^2+2*x^2*ln(x)^2+2*x^3+18*x^4)","A"
8593,0,0,27,0.017000," ","int((-5*ln(4*x)*ln(-ln(5)*ln(4*x)/x/exp(2-x))+(5*x-5)*ln(4*x)+5)/x^2/ln(4*x),x)","\[\int \frac{-5 \ln \left(4 x \right) \ln \left(-\frac{\ln \left(5\right) \ln \left(4 x \right) {\mathrm e}^{x -2}}{x}\right)+\left(5 x -5\right) \ln \left(4 x \right)+5}{x^{2} \ln \left(4 x \right)}\, dx\]"," ",0,"int((-5*ln(4*x)*ln(-ln(5)*ln(4*x)/x/exp(2-x))+(5*x-5)*ln(4*x)+5)/x^2/ln(4*x),x)","F"
8594,1,56,32,0.158000," ","int(((64*x^3+128*x^2+256)*ln(x)^2+((32*x^3+160*x^2)*exp(x)+2*(128*x^3+256*x^2+512)*ln(2)+32*x^4+64*x^3+128*x)*ln(x)+(2*(32*x^3+160*x^2)*ln(2)+8*x^4+32*x^3-64*x^2-128*x)*exp(x)+4*(64*x^3+128*x^2+256)*ln(2)^2+2*(32*x^4+64*x^3+128*x)*ln(2)+4*x^5+8*x^4+16*x^2)*exp(((8*x^3+32*x^2-16*x-64)*ln(x)+(8*x^2+32*x)*exp(x)+2*(8*x^3+32*x^2-16*x-64)*ln(2)+2*x^4+8*x^3-4*x^2-16*x)/(4*x*ln(x)+8*x*ln(2)+x^2))/(16*x^2*ln(x)^2+(64*x^2*ln(2)+8*x^3)*ln(x)+64*x^2*ln(2)^2+16*x^3*ln(2)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 \left(4+x \right) \left(4 x^{2} \ln \left(x \right)+8 x^{2} \ln \left(2\right)+x^{3}+4 \,{\mathrm e}^{x} x -8 \ln \left(x \right)-16 \ln \left(2\right)-2 x \right)}{x \left(4 \ln \left(x \right)+8 \ln \left(2\right)+x \right)}}$&$56$\\ \hline \end{longtable}"," ",0,"exp(2*(4+x)*(4*x^2*ln(x)+8*x^2*ln(2)+x^3+4*exp(x)*x-8*ln(x)-16*ln(2)-2*x)/x/(4*ln(x)+8*ln(2)+x))","A"
8595,1,21,21,0.174000," ","int(((2*x-1)*exp(1/(x^2-x+7))+6*x^9-12*x^8+90*x^7-84*x^6+294*x^5+2*x^4-4*x^3+30*x^2-28*x+98)/(x^4-2*x^3+15*x^2-14*x+49),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{6}+2 x -{\mathrm e}^{\frac{1}{x^{2}-x +7}}$&$21$\\ norman&$\frac{x^{8}+12 x +{\mathrm e}^{\frac{1}{x^{2}-x +7}} x +2 x^{3}+7 x^{6}-x^{7}-{\mathrm e}^{\frac{1}{x^{2}-x +7}} x^{2}-7 \,{\mathrm e}^{\frac{1}{x^{2}-x +7}}+14}{x^{2}-x +7}$&$77$\\ \hline \end{longtable}"," ",0,"x^6+2*x-exp(1/(x^2-x+7))","A"
8596,1,16,15,0.132000," ","int((((3*x+12)*ln(3)+3*x+12)*ln(4+x)-3*x*ln(3)-3*x)/((4+x)*ln(4+x)^2+(2*x^2+8*x)*ln(4+x)+x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x \left(\ln \left(3\right)+1\right)}{\ln \left(4+x \right)+x}$&$16$\\ norman&$\frac{\left(-3 \ln \left(3\right)-3\right) \ln \left(4+x \right)}{\ln \left(4+x \right)+x}$&$20$\\ derivativedivides&$\frac{3 x}{\ln \left(4+x \right)+x}-\frac{3 \ln \left(3\right) \ln \left(4+x \right)}{\ln \left(4+x \right)+x}$&$29$\\ default&$\frac{3 x}{\ln \left(4+x \right)+x}-\frac{3 \ln \left(3\right) \ln \left(4+x \right)}{\ln \left(4+x \right)+x}$&$29$\\ \hline \end{longtable}"," ",0,"3*x/(ln(4+x)+x)*(ln(3)+1)","A"
8597,1,15,16,0.388000," ","int(((5*x-5)*exp(4)+x-21)/(5*x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \,{\mathrm e}^{4}+\frac{x}{5}-4 \ln \left(x -1\right)$&$15$\\ risch&$x \,{\mathrm e}^{4}+\frac{x}{5}-4 \ln \left(x -1\right)$&$15$\\ norman&$x \left(\frac{1}{5}+{\mathrm e}^{4}\right)-4 \ln \left(5 x -5\right)$&$16$\\ meijerg&$-\frac{21 \ln \left(1-x \right)}{5}-\left(\frac{1}{5}+{\mathrm e}^{4}\right) \left(-x -\ln \left(1-x \right)\right)-{\mathrm e}^{4} \ln \left(1-x \right)$&$38$\\ \hline \end{longtable}"," ",0,"x*exp(4)+1/5*x-4*ln(x-1)","A"
8598,0,0,32,0.093000," ","int(((50*ln(x)+(-10*x^2-10*x)*exp(5/x)+10*x)*exp((ln(x)-x*exp(5/x))/exp(5/x))-100*exp(5/x))*ln((2*x*exp((ln(x)-x*exp(5/x))/exp(5/x))+10)/x^2)/(x^2*exp(5/x)*exp((ln(x)-x*exp(5/x))/exp(5/x))+5*x*exp(5/x)),x)","\[\int \frac{\left(\left(50 \ln \left(x \right)+\left(-10 x^{2}-10 x \right) {\mathrm e}^{\frac{5}{x}}+10 x \right) {\mathrm e}^{\left(\ln \left(x \right)-x \,{\mathrm e}^{\frac{5}{x}}\right) {\mathrm e}^{-\frac{5}{x}}}-100 \,{\mathrm e}^{\frac{5}{x}}\right) \ln \left(\frac{2 x \,{\mathrm e}^{\left(\ln \left(x \right)-x \,{\mathrm e}^{\frac{5}{x}}\right) {\mathrm e}^{-\frac{5}{x}}}+10}{x^{2}}\right)}{x^{2} {\mathrm e}^{\frac{5}{x}} {\mathrm e}^{\left(\ln \left(x \right)-x \,{\mathrm e}^{\frac{5}{x}}\right) {\mathrm e}^{-\frac{5}{x}}}+5 x \,{\mathrm e}^{\frac{5}{x}}}\, dx\]"," ",0,"int(((50*ln(x)+(-10*x^2-10*x)*exp(5/x)+10*x)*exp((ln(x)-x*exp(5/x))/exp(5/x))-100*exp(5/x))*ln((2*x*exp((ln(x)-x*exp(5/x))/exp(5/x))+10)/x^2)/(x^2*exp(5/x)*exp((ln(x)-x*exp(5/x))/exp(5/x))+5*x*exp(5/x)),x)","F"
8599,0,0,14,0.045000," ","int((((4*exp(x)*x+5)*exp(exp(x))*x^(1/4)+4)*exp(x^(5/4)*exp(exp(x)))+4*x+4)*exp(ln(exp(x^(5/4)*exp(exp(x)))+x)+x)/(4*exp(x^(5/4)*exp(exp(x)))+4*x),x)","\[\int \frac{\left(\left(\left(4 \,{\mathrm e}^{x} x +5\right) {\mathrm e}^{{\mathrm e}^{x}} x^{\frac{1}{4}}+4\right) {\mathrm e}^{x^{\frac{5}{4}} {\mathrm e}^{{\mathrm e}^{x}}}+4 x +4\right) {\mathrm e}^{\ln \left({\mathrm e}^{x^{\frac{5}{4}} {\mathrm e}^{{\mathrm e}^{x}}}+x \right)+x}}{4 \,{\mathrm e}^{x^{\frac{5}{4}} {\mathrm e}^{{\mathrm e}^{x}}}+4 x}\, dx\]"," ",0,"int((((4*exp(x)*x+5)*exp(exp(x))*x^(1/4)+4)*exp(x^(5/4)*exp(exp(x)))+4*x+4)*exp(ln(exp(x^(5/4)*exp(exp(x)))+x)+x)/(4*exp(x^(5/4)*exp(exp(x)))+4*x),x)","F"
8600,1,32,32,0.315000," ","int(((x^2*ln(x)+(-x^2+x)*ln(5)-x^2*exp(3)-x^3+4*x^2)*exp((ln(5)*ln(ln(x)+4-exp(3)-x)+4+x)/ln(5))+(-3*ln(5)*exp(3/x)-x^2*ln(5))*ln(x)+(3*exp(3)+3*x-12)*ln(5)*exp(3/x)+(x^2*exp(3)+x^3-4*x^2)*ln(5))/(x^2*ln(5)*ln(x)+(-x^2*exp(3)-x^3+4*x^2)*ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{3}{x}}-x +\left(\ln \left(x \right)+4-{\mathrm e}^{3}-x \right) {\mathrm e}^{\frac{4+x}{\ln \left(5\right)}}$&$32$\\ \hline \end{longtable}"," ",0,"exp(3/x)-x+(ln(x)+4-exp(3)-x)*exp((4+x)/ln(5))","A"
8601,1,32,23,0.695000," ","int((4*exp(3)*(ln(2)+I*Pi)-28*exp(3))/(3*(ln(2)+I*Pi)^2+(-6*x-42)*(ln(2)+I*Pi)+3*x^2+42*x+147),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{4 \,{\mathrm e}^{3} \left(\ln \left(2\right)+i \pi \right)-28 \,{\mathrm e}^{3}}{3 \left(-i \pi -\ln \left(2\right)+x +7\right)}$&$32$\\ risch&$\frac{4 \pi  \,{\mathrm e}^{3}}{3 \left(-i \ln \left(2\right)+i x +\pi +7 i\right)}-\frac{4 i {\mathrm e}^{3} \ln \left(2\right)}{3 \left(-i \ln \left(2\right)+i x +\pi +7 i\right)}+\frac{28 i {\mathrm e}^{3}}{3 \left(-i \ln \left(2\right)+i x +\pi +7 i\right)}$&$64$\\ norman&$\frac{\left(-\frac{4 i {\mathrm e}^{3} \pi}{3}-\frac{4 \,{\mathrm e}^{3} \ln \left(2\right)}{3}+\frac{28 \,{\mathrm e}^{3}}{3}\right) x +\frac{4 \,{\mathrm e}^{3} \pi^{2}}{3}+\frac{4 \ln \left(2\right)^{2} {\mathrm e}^{3}}{3}-\frac{56 \,{\mathrm e}^{3} \ln \left(2\right)}{3}+\frac{196 \,{\mathrm e}^{3}}{3}}{\pi^{2}+\ln \left(2\right)^{2}-2 x \ln \left(2\right)+x^{2}-14 \ln \left(2\right)+14 x +49}$&$73$\\ \hline \end{longtable}"," ",0,"-1/3*(4*exp(3)*(ln(2)+I*Pi)-28*exp(3))/(-I*Pi-ln(2)+x+7)","A"
8602,1,178,26,0.079000," ","int(1/36*(24*x^5*exp(2)^4-112*x^6*exp(2)^3+(192*x^7+120*x^4)*exp(2)^2+(-144*x^8-288*x^5)*exp(2)+40*x^9+168*x^6+144*x^3)*ln(x)+1/36*(35*x^6+52*x^5)*exp(2)^4+1/36*(-160*x^7-240*x^6)*exp(2)^3+1/36*(270*x^8+408*x^7+180*x^5+264*x^4)*exp(2)^2+1/36*(-200*x^9-304*x^8-420*x^6-624*x^5)*exp(2)+55/36*x^10+7/3*x^9+20/3*x^7+10*x^6+25/4*x^4+9*x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(4 \,{\mathrm e}^{8} x^{6}-16 \,{\mathrm e}^{6} x^{7}+24 x^{8} {\mathrm e}^{4}-16 \,{\mathrm e}^{2} x^{9}+4 x^{10}+24 x^{5} {\mathrm e}^{4}-48 x^{6} {\mathrm e}^{2}+24 x^{7}+36 x^{4}\right) \ln \left(x \right)}{36}+\frac{2 x^{10}}{9}-\frac{8 \,{\mathrm e}^{2} x^{9}}{9}+\frac{4 x^{8} {\mathrm e}^{4}}{3}-\frac{8 \,{\mathrm e}^{6} x^{7}}{9}+\frac{4 x^{7}}{3}+\frac{2 \,{\mathrm e}^{8} x^{6}}{9}-\frac{8 x^{6} {\mathrm e}^{2}}{3}+\frac{4 x^{5} {\mathrm e}^{4}}{3}+2 x^{4}+\frac{5 \,{\mathrm e}^{8} x^{7}}{36}-\frac{5 \,{\mathrm e}^{6} x^{8}}{9}+\frac{5 x^{9} {\mathrm e}^{4}}{6}+\frac{5 x^{6} {\mathrm e}^{4}}{6}-\frac{5 \,{\mathrm e}^{2} x^{10}}{9}-\frac{5 \,{\mathrm e}^{2} x^{7}}{3}+\frac{5 x^{11}}{36}+\frac{5 x^{8}}{6}+\frac{5 x^{5}}{4}$&$178$\\ norman&$x^{4} \ln \left(x \right)+\left(\frac{2}{9}-\frac{5 \,{\mathrm e}^{2}}{9}\right) x^{10}+\left(\frac{4 \,{\mathrm e}^{4}}{3}+\frac{5}{4}\right) x^{5}+\left(-\frac{8 \,{\mathrm e}^{2}}{9}+\frac{5 \,{\mathrm e}^{4}}{6}\right) x^{9}+\left(\frac{4 \,{\mathrm e}^{4}}{3}+\frac{5}{6}-\frac{5 \,{\mathrm e}^{6}}{9}\right) x^{8}+\left(\frac{2 \,{\mathrm e}^{8}}{9}-\frac{8 \,{\mathrm e}^{2}}{3}+\frac{5 \,{\mathrm e}^{4}}{6}\right) x^{6}+\left(-\frac{8 \,{\mathrm e}^{6}}{9}+\frac{4}{3}-\frac{5 \,{\mathrm e}^{2}}{3}+\frac{5 \,{\mathrm e}^{8}}{36}\right) x^{7}+\left(-\frac{4 \,{\mathrm e}^{6}}{9}+\frac{2}{3}\right) x^{7} \ln \left(x \right)+\left(\frac{{\mathrm e}^{8}}{9}-\frac{4 \,{\mathrm e}^{2}}{3}\right) x^{6} \ln \left(x \right)+2 x^{4}+\frac{5 x^{11}}{36}+\frac{x^{10} \ln \left(x \right)}{9}-\frac{4 \,{\mathrm e}^{2} x^{9} \ln \left(x \right)}{9}+\frac{2 \,{\mathrm e}^{4} x^{5} \ln \left(x \right)}{3}+\frac{2 \,{\mathrm e}^{4} x^{8} \ln \left(x \right)}{3}$&$185$\\ default&$\frac{x^{10} \ln \left(x \right)}{9}+\frac{5 x^{11}}{36}+\frac{4 x^{7}}{3}+\frac{5 x^{8}}{6}+\frac{2 x^{10}}{9}+\frac{5 x^{5}}{4}+2 x^{4}+\frac{2 x^{6} {\mathrm e}^{2}}{9}+\frac{2 x^{7} \ln \left(x \right)}{3}-\frac{x^{8} {\mathrm e}^{4}}{12}+\frac{{\mathrm e}^{6} \left(-20 x^{8}-\frac{240}{7} x^{7}\right)}{36}+\frac{{\mathrm e}^{8} \left(5 x^{7}+\frac{26}{3} x^{6}\right)}{36}+\frac{{\mathrm e}^{4} \left(30 x^{9}+51 x^{8}+30 x^{6}+\frac{264}{5} x^{5}\right)}{36}+x^{4} \ln \left(x \right)-\frac{2 x^{5} {\mathrm e}^{4}}{15}+\frac{4 \,{\mathrm e}^{2} x^{9}}{81}-\frac{4 \,{\mathrm e}^{2} \ln \left(x \right) x^{6}}{3}+\frac{{\mathrm e}^{8} \ln \left(x \right) x^{6}}{9}-\frac{4 \,{\mathrm e}^{6} x^{7} \ln \left(x \right)}{9}-\frac{4 \,{\mathrm e}^{2} x^{9} \ln \left(x \right)}{9}-\frac{{\mathrm e}^{8} x^{6}}{54}+\frac{4 \,{\mathrm e}^{6} x^{7}}{63}+\frac{{\mathrm e}^{2} \left(-20 x^{10}-\frac{304}{9} x^{9}-60 x^{7}-104 x^{6}\right)}{36}+\frac{2 \,{\mathrm e}^{4} x^{5} \ln \left(x \right)}{3}+\frac{2 \,{\mathrm e}^{4} x^{8} \ln \left(x \right)}{3}$&$250$\\ \hline \end{longtable}"," ",0,"1/36*(4*exp(8)*x^6-16*exp(6)*x^7+24*x^8*exp(4)-16*exp(2)*x^9+4*x^10+24*x^5*exp(4)-48*x^6*exp(2)+24*x^7+36*x^4)*ln(x)+2/9*x^10-8/9*exp(2)*x^9+4/3*x^8*exp(4)-8/9*exp(6)*x^7+4/3*x^7+2/9*exp(8)*x^6-8/3*x^6*exp(2)+4/3*x^5*exp(4)+2*x^4+5/36*exp(8)*x^7-5/9*exp(6)*x^8+5/6*x^9*exp(4)+5/6*x^6*exp(4)-5/9*exp(2)*x^10-5/3*exp(2)*x^7+5/36*x^11+5/6*x^8+5/4*x^5","B"
8603,1,17,18,0.050000," ","int((-4*ln(x)-exp(x)*x-1)/x^2/exp(exp(x))/exp(ln(x)^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-{\mathrm e}^{x}-2 \ln \left(x \right)^{2}}}{x}$&$17$\\ \hline \end{longtable}"," ",0,"1/x*exp(-exp(x)-2*ln(x)^2)","A"
8604,1,313,23,0.614000," ","int((((-4*x-64)*exp(3)^2*ln(x)^3+3*x^2*ln(x))*ln(1/4*((60*x+960)*exp(3)^2*ln(x)^2-45*x^2)/exp(3)^2/ln(x)^2)+4*x*exp(3)^2*ln(x)^3-6*x^2*ln(x)+6*x^2)/((4*x^3+64*x^2)*exp(3)^2*ln(x)^3-3*x^4*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\left(x \ln \left(x \right)^{2}+16 \ln \left(x \right)^{2}\right) {\mathrm e}^{6}-\frac{3 x^{2}}{4}\right)}{x}+\frac{i \pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(\left(x \ln \left(x \right)^{2}+16 \ln \left(x \right)^{2}\right) {\mathrm e}^{6}-\frac{3 x^{2}}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(x \ln \left(x \right)^{2}+16 \ln \left(x \right)^{2}\right) {\mathrm e}^{6}-\frac{3 x^{2}}{4}\right)}{\ln \left(x \right)^{2}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(\left(x \ln \left(x \right)^{2}+16 \ln \left(x \right)^{2}\right) {\mathrm e}^{6}-\frac{3 x^{2}}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(x \ln \left(x \right)^{2}+16 \ln \left(x \right)^{2}\right) {\mathrm e}^{6}-\frac{3 x^{2}}{4}\right)}{\ln \left(x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right)-12+i \pi  \mathrm{csgn}\left(\frac{i \left(\left(x \ln \left(x \right)^{2}+16 \ln \left(x \right)^{2}\right) {\mathrm e}^{6}-\frac{3 x^{2}}{4}\right)}{\ln \left(x \right)^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)^{2}}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(\left(x \ln \left(x \right)^{2}+16 \ln \left(x \right)^{2}\right) {\mathrm e}^{6}-\frac{3 x^{2}}{4}\right)}{\ln \left(x \right)^{2}}\right)^{3}+i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}+2 \ln \left(3\right)+2 \ln \left(5\right)-4 \ln \left(\ln \left(x \right)\right)}{2 x}$&$313$\\ \hline \end{longtable}"," ",0,"1/x*ln((x*ln(x)^2+16*ln(x)^2)*exp(6)-3/4*x^2)+1/2*(I*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-2*I*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+I*Pi*csgn(I*((x*ln(x)^2+16*ln(x)^2)*exp(6)-3/4*x^2))*csgn(I/ln(x)^2*((x*ln(x)^2+16*ln(x)^2)*exp(6)-3/4*x^2))^2-I*Pi*csgn(I*((x*ln(x)^2+16*ln(x)^2)*exp(6)-3/4*x^2))*csgn(I/ln(x)^2*((x*ln(x)^2+16*ln(x)^2)*exp(6)-3/4*x^2))*csgn(I/ln(x)^2)-12+I*Pi*csgn(I/ln(x)^2*((x*ln(x)^2+16*ln(x)^2)*exp(6)-3/4*x^2))^2*csgn(I/ln(x)^2)-I*Pi*csgn(I/ln(x)^2*((x*ln(x)^2+16*ln(x)^2)*exp(6)-3/4*x^2))^3+I*Pi*csgn(I*ln(x)^2)^3+2*ln(3)+2*ln(5)-4*ln(ln(x)))/x","C"
8605,1,282,24,0.564000," ","int((((x^5+2*x^4)*ln(5)^2-x^2-2*x)*exp(x)*ln((x^4*ln(5)^2-x)*exp(x))+((-2*x^5-8*x^4)*ln(5)^2+2*x^2+2*x)*exp(x))/(x^3*ln(5)^2-1)/ln((x^4*ln(5)^2-x)*exp(x))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x^{2} {\mathrm e}^{x}}{\left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x^{3} \ln \left(5\right)^{2}-1\right)\right) \mathrm{csgn}\left(i x \left(x^{3} \ln \left(5\right)^{2}-1\right) {\mathrm e}^{x}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x^{3} \ln \left(5\right)^{2}-1\right) {\mathrm e}^{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i \left(x^{3} \ln \left(5\right)^{2}-1\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x^{3} \ln \left(5\right)^{2}-1\right)\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x^{3} \ln \left(5\right)^{2}-1\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x^{3} \ln \left(5\right)^{2}-1\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x^{3} \ln \left(5\right)^{2}-1\right)\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{x} \left(x^{3} \ln \left(5\right)^{2}-1\right)\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x} \left(x^{3} \ln \left(5\right)^{2}-1\right)\right) \mathrm{csgn}\left(i x \left(x^{3} \ln \left(5\right)^{2}-1\right) {\mathrm e}^{x}\right)^{2}+\pi  \mathrm{csgn}\left(i x \left(x^{3} \ln \left(5\right)^{2}-1\right) {\mathrm e}^{x}\right)^{3}+2 i \ln \left(x \right)+2 i \ln \left(x^{3} \ln \left(5\right)^{2}-1\right)+2 i \ln \left({\mathrm e}^{x}\right)\right)^{2}}$&$282$\\ \hline \end{longtable}"," ",0,"-4*x^2*exp(x)/(Pi*csgn(I*x)*csgn(I*exp(x)*(x^3*ln(5)^2-1))*csgn(I*x*(x^3*ln(5)^2-1)*exp(x))-Pi*csgn(I*x)*csgn(I*x*(x^3*ln(5)^2-1)*exp(x))^2+Pi*csgn(I*exp(x))*csgn(I*(x^3*ln(5)^2-1))*csgn(I*exp(x)*(x^3*ln(5)^2-1))-Pi*csgn(I*exp(x))*csgn(I*exp(x)*(x^3*ln(5)^2-1))^2-Pi*csgn(I*(x^3*ln(5)^2-1))*csgn(I*exp(x)*(x^3*ln(5)^2-1))^2+Pi*csgn(I*exp(x)*(x^3*ln(5)^2-1))^3-Pi*csgn(I*exp(x)*(x^3*ln(5)^2-1))*csgn(I*x*(x^3*ln(5)^2-1)*exp(x))^2+Pi*csgn(I*x*(x^3*ln(5)^2-1)*exp(x))^3+2*I*ln(x)+2*I*ln(x^3*ln(5)^2-1)+2*I*ln(exp(x)))^2","C"
8606,1,27,18,0.389000," ","int((((4*x^2-4)*exp(x)+2*x^2-2*x)*ln(1-x)+(16*x^2+4*x-16)*exp(x)+9*x^2-8*x)*exp(1/64*(4*exp(x)*x+x^2)*ln(1-x)+1/4*exp(x)*x+1/16*x^2)/(64*x-64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(1-x \right)^{\frac{x \left(4 \,{\mathrm e}^{x}+x \right)}{64}} {\mathrm e}^{\frac{x \left(4 \,{\mathrm e}^{x}+x \right)}{16}}$&$27$\\ \hline \end{longtable}"," ",0,"(1-x)^(1/64*x*(4*exp(x)+x))*exp(1/16*x*(4*exp(x)+x))","A"
8607,1,39,25,0.409000," ","int(((-2*x*ln(5)+4*x^2+4*x)*exp(x^2)+(-5*x^4-80*x^3-450*x^2-1000*x-625)*ln(5)+10*x^5+170*x^4+1060*x^3+2900*x^2+3250*x+1248)/(ln(5)-2*x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-625 x -500 x^{2}-150 x^{3}-20 x^{4}-x^{5}-{\mathrm e}^{x^{2}}+\ln \left(\ln \left(5\right)-2 x -2\right)$&$39$\\ risch&$-x^{5}-20 x^{4}-150 x^{3}-500 x^{2}-625 x +\ln \left(2-\ln \left(5\right)+2 x \right)-{\mathrm e}^{x^{2}}$&$41$\\ \hline \end{longtable}"," ",0,"-625*x-500*x^2-150*x^3-20*x^4-x^5-exp(x^2)+ln(ln(5)-2*x-2)","A"
8608,1,13,12,0.030000," ","int((8*ln(x)*exp(ln(x)^2-1)+x)/(4*x*exp(ln(x)^2-1)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x +4 \,{\mathrm e}^{\ln \left(x \right)^{2}-1}\right)$&$13$\\ risch&$1+\ln \left(\frac{x}{4}+{\mathrm e}^{\left(\ln \left(x \right)-1\right) \left(\ln \left(x \right)+1\right)}\right)$&$18$\\ \hline \end{longtable}"," ",0,"ln(x+4*exp(ln(x)^2-1))","A"
8609,1,29,31,0.035000," ","int(((-2*x^2-14*x+8)*exp(1/4*x+1/6)*ln(x)+4*x^2*exp(1/4*x+1/6)^2+(x^3+x^2-6*x)*exp(1/4*x+1/6))/(16*ln(x)^2+(-16*x*exp(1/4*x+1/6)-16*x+32)*ln(x)+4*x^2*exp(1/4*x+1/6)^2+(8*x^2-16*x)*exp(1/4*x+1/6)+4*x^2-16*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x -1\right) {\mathrm e}^{\frac{x}{4}+\frac{1}{6}} x}{x \,{\mathrm e}^{\frac{x}{4}+\frac{1}{6}}+x -2 \ln \left(x \right)-2}$&$29$\\ \hline \end{longtable}"," ",0,"(x-1)*exp(1/4*x+1/6)*x/(x*exp(1/4*x+1/6)+x-2*ln(x)-2)","A"
8610,1,77,28,0.411000," ","int((((3*x+9)*ln(5)^2*ln(x)^3+(6*x^4+18*x^3)*ln(x)-6*x^4-18*x^3)*ln(3+x)+(-x^2-9*x-18)*ln(5)^2*ln(x)^3+(-9*x^4-36*x^3)*ln(x)+12*x^4+36*x^3)/(x^3+3*x^2)/ln(5)^2/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 \left(\ln \left(x \right)^{2} \ln \left(5\right)^{2}-x^{3}\right) \ln \left(3+x \right)}{\ln \left(5\right)^{2} x \ln \left(x \right)^{2}}-\frac{\ln \left(5\right)^{2} \ln \left(3+x \right) x \ln \left(x \right)^{2}-6 \ln \left(x \right)^{2} \ln \left(5\right)^{2}+6 x^{3}}{\ln \left(5\right)^{2} x \ln \left(x \right)^{2}}$&$77$\\ \hline \end{longtable}"," ",0,"-3/ln(5)^2*(ln(x)^2*ln(5)^2-x^3)/x/ln(x)^2*ln(3+x)-1/ln(5)^2*(ln(5)^2*ln(3+x)*x*ln(x)^2-6*ln(x)^2*ln(5)^2+6*x^3)/x/ln(x)^2","B"
8611,1,22,26,0.406000," ","int(1/2*((8*x^2-12*x+4)*exp(-x^2+x)^4*ln(x-1)+exp(-x^2+x)^4-2)/(x-1)/ln(2)/ln(x-1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{-4 x \left(x -1\right)}-2}{2 \ln \left(2\right) \ln \left(x -1\right)}$&$22$\\ default&$\frac{-\frac{{\mathrm e}^{-4 x \left(x -1\right)}}{\ln \left(x -1\right)}+\frac{2}{\ln \left(x -1\right)}}{2 \ln \left(2\right)}$&$31$\\ \hline \end{longtable}"," ",0,"-1/2/ln(2)*(exp(-4*x*(x-1))-2)/ln(x-1)","A"
8612,1,16,16,0.015000," ","int(2*exp(x)^2+12*exp(x)+2*x+7/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{7 x}{5}+x^{2}+{\mathrm e}^{2 x}+12 \,{\mathrm e}^{x}$&$16$\\ norman&$\frac{7 x}{5}+x^{2}+{\mathrm e}^{2 x}+12 \,{\mathrm e}^{x}$&$16$\\ risch&$\frac{7 x}{5}+x^{2}+{\mathrm e}^{2 x}+12 \,{\mathrm e}^{x}$&$16$\\ \hline \end{longtable}"," ",0,"7/5*x+x^2+exp(x)^2+12*exp(x)","A"
8613,1,9,8,0.027000," ","int(-4/5*x/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 \,{\mathrm e}^{-x^{2}}}{5}$&$9$\\ derivativedivides&$\frac{2 \,{\mathrm e}^{-x^{2}}}{5}$&$9$\\ default&$\frac{2 \,{\mathrm e}^{-x^{2}}}{5}$&$9$\\ norman&$\frac{2 \,{\mathrm e}^{-x^{2}}}{5}$&$9$\\ risch&$\frac{2 \,{\mathrm e}^{-x^{2}}}{5}$&$9$\\ meijerg&$-\frac{2}{5}+\frac{2 \,{\mathrm e}^{-x^{2}}}{5}$&$11$\\ \hline \end{longtable}"," ",0,"2/5/exp(x^2)","A"
8614,1,18,17,0.027000," ","int((-4*ln(x)^2+22*ln(x)-28)/(4*x^2*ln(x)^2-20*x^2*ln(x)+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x}-\frac{1}{x \left(2 \ln \left(x \right)-5\right)}$&$18$\\ norman&$\frac{2 \ln \left(x \right)-6}{x \left(2 \ln \left(x \right)-5\right)}$&$19$\\ \hline \end{longtable}"," ",0,"1/x-1/x/(2*ln(x)-5)","A"
8615,1,23,24,0.079000," ","int(1/9*(-108*exp(ln(x)+1/2*x^2+7/2*x-6)-4*x^3-14*x^2-4*x)/x^2/exp(ln(x)+1/2*x^2+7/2*x-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{12}{x}+\frac{4 \,{\mathrm e}^{-\frac{1}{2} x^{2}-\frac{7}{2} x +6}}{9 x}$&$23$\\ default&$\frac{12}{x}+\frac{4 \,{\mathrm e}^{-\frac{1}{2} x^{2}-\frac{7}{2} x +6}}{9 x}$&$24$\\ norman&$\frac{\left(\frac{4 x}{9}+12 \,{\mathrm e}^{\ln \left(x \right)+\frac{x^{2}}{2}+\frac{7 x}{2}-6}\right) {\mathrm e}^{-\frac{1}{2} x^{2}-\frac{7}{2} x +6}}{x^{2}}$&$39$\\ \hline \end{longtable}"," ",0,"12/x+4/9/x*exp(-1/2*x^2-7/2*x+6)","A"
8616,1,43,20,0.064000," ","int((6*x*exp(x^2/(exp(2)^2+30*exp(2)+225))-2*x*exp(2)^2-60*exp(2)*x-450*x)/(exp(2)^2+30*exp(2)+225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-{\mathrm e}^{2}-15\right) x^{2}+\left(3 \,{\mathrm e}^{2}+45\right) {\mathrm e}^{\frac{x^{2}}{{\mathrm e}^{4}+30 \,{\mathrm e}^{2}+225}}}{{\mathrm e}^{2}+15}$&$43$\\ default&$\frac{-225 x^{2}-x^{2} {\mathrm e}^{4}+6 \left(\frac{{\mathrm e}^{4}}{2}+15 \,{\mathrm e}^{2}+\frac{225}{2}\right) {\mathrm e}^{\frac{x^{2}}{{\mathrm e}^{4}+30 \,{\mathrm e}^{2}+225}}-30 x^{2} {\mathrm e}^{2}}{{\mathrm e}^{4}+30 \,{\mathrm e}^{2}+225}$&$68$\\ risch&$-x^{2}+\frac{3 \,{\mathrm e}^{\frac{x^{2}}{{\mathrm e}^{4}+30 \,{\mathrm e}^{2}+225}} {\mathrm e}^{4}}{{\mathrm e}^{4}+30 \,{\mathrm e}^{2}+225}+\frac{90 \,{\mathrm e}^{\frac{x^{2}}{{\mathrm e}^{4}+30 \,{\mathrm e}^{2}+225}} {\mathrm e}^{2}}{{\mathrm e}^{4}+30 \,{\mathrm e}^{2}+225}+\frac{675 \,{\mathrm e}^{\frac{x^{2}}{{\mathrm e}^{4}+30 \,{\mathrm e}^{2}+225}}}{{\mathrm e}^{4}+30 \,{\mathrm e}^{2}+225}$&$92$\\ \hline \end{longtable}"," ",0,"((-exp(2)-15)*x^2+(3*exp(2)+45)*exp(x^2/(exp(2)^2+30*exp(2)+225)))/(exp(2)+15)","B"
8617,1,43,32,0.106000," ","int((((3*x^2+8*x+3)*ln(3*x)^2+(6*x^5+20*x^4+2*x^3-12*x^2)*ln(3*x)-2*x^5-6*x^4+2*x^3+6*x^2)*exp((x^3-x^2)/ln(3*x))^2+(4*x^3+12*x^2+6*x)*ln(3*x)^2)/ln(3*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}+4 x^{3}+3 x^{2}+\left(x^{3}+4 x^{2}+3 x \right) {\mathrm e}^{\frac{2 x^{2} \left(x -1\right)}{\ln \left(3 x \right)}}$&$43$\\ \hline \end{longtable}"," ",0,"x^4+4*x^3+3*x^2+(x^3+4*x^2+3*x)*exp(2*x^2*(x-1)/ln(3*x))","A"
8618,1,45,19,0.115000," ","int(((-15*x^2-45*x)*ln(x^2+3*x)+(-30*x^2-73*x-42)*ln(30/31*x+28/31)+60*x^2+146*x+84)/(15*x^3+59*x^2+42*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(31\right) \ln \left(\left(3+x \right) x \right)-\ln \left(15 x +14\right) \ln \left(x^{2}+3 x \right)+2 \ln \left(\left(3+x \right) x \right)-\ln \left(2\right) \ln \left(\left(3+x \right) x \right)$&$45$\\ risch&$2 \ln \left(3+x \right)+2 \ln \left(x \right)-\frac{i \pi  \ln \left(15 x +14\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(3+x \right)\right)^{2}}{2}+\frac{i \pi  \ln \left(15 x +14\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(3+x \right)\right) \mathrm{csgn}\left(i \left(3+x \right)\right)}{2}+\frac{i \pi  \ln \left(15 x +14\right) \mathrm{csgn}\left(i x \left(3+x \right)\right)^{3}}{2}-\frac{i \pi  \ln \left(15 x +14\right) \mathrm{csgn}\left(i x \left(3+x \right)\right)^{2} \mathrm{csgn}\left(i \left(3+x \right)\right)}{2}-\ln \left(x \right) \ln \left(\frac{15 x}{14}+1\right)-\left(\ln \left(3+x \right)-\ln \left(\frac{15 x}{31}+\frac{45}{31}\right)\right) \ln \left(-\frac{14}{31}-\frac{15 x}{31}\right)-\left(\ln \left(\frac{30 x}{31}+\frac{28}{31}\right)-\ln \left(\frac{15 x}{14}+1\right)\right) \ln \left(-\frac{15 x}{14}\right)-\ln \left(\frac{30 x}{31}+\frac{28}{31}\right) \ln \left(\frac{15 x}{31}+\frac{45}{31}\right)$&$180$\\ \hline \end{longtable}"," ",0,"ln(31)*ln((3+x)*x)-ln(15*x+14)*ln(x^2+3*x)+2*ln((3+x)*x)-ln(2)*ln((3+x)*x)","B"
8619,1,24,24,0.156000," ","int(((4*x^3-63*x^2+19*x+390)*ln(15/(x-15))+x^3-x^2-13*x)/(x^8-17*x^7+5*x^6+401*x^5-221*x^4-2535*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(\frac{15}{x -15}\right)}{x^{2} \left(x^{2}-x -13\right)}$&$24$\\ risch&$-\frac{\ln \left(\frac{15}{x -15}\right)}{x^{2} \left(x^{2}-x -13\right)}$&$24$\\ derivativedivides&$\frac{11 \ln \left(\frac{15}{x -15}\right)}{2535 \left(x -15\right) \left(1+\frac{15}{x -15}\right)}-\frac{168 \sqrt{53}\, \ln \left(\frac{15}{x -15}\right) \ln \left(\frac{-435+15 \sqrt{53}-\frac{5910}{x -15}}{-435+15 \sqrt{53}}\right)}{1764529}+\frac{168 \sqrt{53}\, \ln \left(\frac{15}{x -15}\right) \ln \left(\frac{435+15 \sqrt{53}+\frac{5910}{x -15}}{435+15 \sqrt{53}}\right)}{1764529}-\frac{\ln \left(\frac{15}{x -15}\right) \left(\frac{15}{x -15}+2\right)}{195 \left(x -15\right) \left(1+\frac{15}{x -15}\right)^{2}}+\frac{\ln \left(\frac{15}{x -15}\right) \left(\frac{7446600 \sqrt{53}\, \ln \left(\frac{-435+15 \sqrt{53}-\frac{5910}{x -15}}{-435+15 \sqrt{53}}\right)}{\left(x -15\right)^{2}}-\frac{7446600 \sqrt{53}\, \ln \left(\frac{435+15 \sqrt{53}+\frac{5910}{x -15}}{435+15 \sqrt{53}}\right)}{\left(x -15\right)^{2}}+\frac{1096200 \sqrt{53}\, \ln \left(\frac{-435+15 \sqrt{53}-\frac{5910}{x -15}}{-435+15 \sqrt{53}}\right)}{x -15}-\frac{1096200 \sqrt{53}\, \ln \left(\frac{435+15 \sqrt{53}+\frac{5910}{x -15}}{435+15 \sqrt{53}}\right)}{x -15}+37800 \sqrt{53}\, \ln \left(\frac{-435+15 \sqrt{53}-\frac{5910}{x -15}}{-435+15 \sqrt{53}}\right)-37800 \sqrt{53}\, \ln \left(\frac{435+15 \sqrt{53}+\frac{5910}{x -15}}{435+15 \sqrt{53}}\right)+\frac{2349225}{\left(x -15\right)^{2}}+\frac{2349225}{x -15}\right)}{\frac{78212747925}{\left(x -15\right)^{2}}+\frac{11513551725}{x -15}+397019025}$&$374$\\ default&$\frac{11 \ln \left(\frac{15}{x -15}\right)}{2535 \left(x -15\right) \left(1+\frac{15}{x -15}\right)}-\frac{168 \sqrt{53}\, \ln \left(\frac{15}{x -15}\right) \ln \left(\frac{-435+15 \sqrt{53}-\frac{5910}{x -15}}{-435+15 \sqrt{53}}\right)}{1764529}+\frac{168 \sqrt{53}\, \ln \left(\frac{15}{x -15}\right) \ln \left(\frac{435+15 \sqrt{53}+\frac{5910}{x -15}}{435+15 \sqrt{53}}\right)}{1764529}-\frac{\ln \left(\frac{15}{x -15}\right) \left(\frac{15}{x -15}+2\right)}{195 \left(x -15\right) \left(1+\frac{15}{x -15}\right)^{2}}+\frac{\ln \left(\frac{15}{x -15}\right) \left(\frac{7446600 \sqrt{53}\, \ln \left(\frac{-435+15 \sqrt{53}-\frac{5910}{x -15}}{-435+15 \sqrt{53}}\right)}{\left(x -15\right)^{2}}-\frac{7446600 \sqrt{53}\, \ln \left(\frac{435+15 \sqrt{53}+\frac{5910}{x -15}}{435+15 \sqrt{53}}\right)}{\left(x -15\right)^{2}}+\frac{1096200 \sqrt{53}\, \ln \left(\frac{-435+15 \sqrt{53}-\frac{5910}{x -15}}{-435+15 \sqrt{53}}\right)}{x -15}-\frac{1096200 \sqrt{53}\, \ln \left(\frac{435+15 \sqrt{53}+\frac{5910}{x -15}}{435+15 \sqrt{53}}\right)}{x -15}+37800 \sqrt{53}\, \ln \left(\frac{-435+15 \sqrt{53}-\frac{5910}{x -15}}{-435+15 \sqrt{53}}\right)-37800 \sqrt{53}\, \ln \left(\frac{435+15 \sqrt{53}+\frac{5910}{x -15}}{435+15 \sqrt{53}}\right)+\frac{2349225}{\left(x -15\right)^{2}}+\frac{2349225}{x -15}\right)}{\frac{78212747925}{\left(x -15\right)^{2}}+\frac{11513551725}{x -15}+397019025}$&$374$\\ \hline \end{longtable}"," ",0,"-ln(15/(x-15))/x^2/(x^2-x-13)","A"
8620,1,21,23,0.408000," ","int(((120*x^4-180)*ln(2*x^5-3*x)+150*x^4-45)/(2*x^9-3*x^5)/ln(2*x^5-3*x)^2/exp(5/x^4/ln(2*x^5-3*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \,{\mathrm e}^{-\frac{5}{x^{4} \ln \left(2 x^{5}-3 x \right)}}$&$21$\\ \hline \end{longtable}"," ",0,"3*exp(-5/x^4/ln(2*x^5-3*x))","A"
8621,1,230,22,0.139000," ","int((-ln(x)+8*x+17)*exp(-ln(-1/2*x*ln(x)+2*x^2+9*x)+6)/((x*ln(x)-4*x^2-18*x)*exp(-ln(-1/2*x*ln(x)+2*x^2+9*x)+6)-3*x*ln(x)+12*x^2+54*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\ln \left(x \right)-4 x -18\right)-\ln \left(2\right)+\ln \left(-\frac{\ln \left(x \right)}{4}+x +\frac{9}{2}\right)+\frac{i \pi  \,\mathrm{csgn}\left(i x \left(\frac{\ln \left(x \right)}{4}-x -\frac{9}{2}\right)\right) \left(\mathrm{csgn}\left(i x \left(\frac{\ln \left(x \right)}{4}-x -\frac{9}{2}\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(\mathrm{csgn}\left(i x \left(\frac{\ln \left(x \right)}{4}-x -\frac{9}{2}\right)\right)-\mathrm{csgn}\left(i \left(\frac{\ln \left(x \right)}{4}-x -\frac{9}{2}\right)\right)\right)}{2}-6+\ln \left(\frac{2 \,{\mathrm e}^{6} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i x \left(\frac{\ln \left(x \right)}{4}-x -\frac{9}{2}\right)\right)^{3}}{2}} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i x \left(\frac{\ln \left(x \right)}{4}-x -\frac{9}{2}\right)\right)^{2} \mathrm{csgn}\left(i x \right)}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i x \left(\frac{\ln \left(x \right)}{4}-x -\frac{9}{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(\frac{\ln \left(x \right)}{4}-x -\frac{9}{2}\right)\right)}{2}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i x \left(\frac{\ln \left(x \right)}{4}-x -\frac{9}{2}\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\frac{\ln \left(x \right)}{4}-x -\frac{9}{2}\right)\right)}{2}}}{x \left(-\frac{\ln \left(x \right)}{4}+x +\frac{9}{2}\right)}-3\right)$&$230$\\ \hline \end{longtable}"," ",0,"-ln(ln(x)-4*x-18)-ln(2)+ln(-1/4*ln(x)+x+9/2)+1/2*I*Pi*csgn(I*x*(1/4*ln(x)-x-9/2))*(csgn(I*x*(1/4*ln(x)-x-9/2))+csgn(I*x))*(csgn(I*x*(1/4*ln(x)-x-9/2))-csgn(I*(1/4*ln(x)-x-9/2)))-6+ln(2/x/(-1/4*ln(x)+x+9/2)*exp(6)*exp(-1/2*I*Pi*csgn(I*x*(1/4*ln(x)-x-9/2))^3)*exp(-1/2*I*Pi*csgn(I*x*(1/4*ln(x)-x-9/2))^2*csgn(I*x))*exp(1/2*I*Pi*csgn(I*x*(1/4*ln(x)-x-9/2))^2*csgn(I*(1/4*ln(x)-x-9/2)))*exp(1/2*I*Pi*csgn(I*x*(1/4*ln(x)-x-9/2))*csgn(I*x)*csgn(I*(1/4*ln(x)-x-9/2)))-3)","C"
8622,1,37,28,0.109000," ","int((4*x*ln(x)^2+((-4*x^3-12*x^2)*exp(3)*exp(x)+(-16*x^5+32*x^4)*exp(3))*ln(x)+((8*x^7-24*x^6)*exp(3)^2+4*x^2*exp(3))*exp(x)+(16*x^9-64*x^8+64*x^7)*exp(3)^2)/(ln(x)^2+(-4*x^4+8*x^3)*exp(3)*ln(x)+(4*x^8-16*x^7+16*x^6)*exp(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2}+\frac{4 x^{3} {\mathrm e}^{3+x}}{2 x^{4} {\mathrm e}^{3}-4 x^{3} {\mathrm e}^{3}-\ln \left(x \right)}$&$37$\\ \hline \end{longtable}"," ",0,"2*x^2+4/(2*x^4*exp(3)-4*x^3*exp(3)-ln(x))*x^3*exp(3+x)","A"
8623,1,20,20,0.441000," ","int((-2*x^5-2*x^4+8*x^3+4*x^2+96*x+96)/(x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-\frac{48}{x^{2}}+4 \ln \left(x^{2}+x \right)$&$20$\\ default&$-x^{2}-\frac{48}{x^{2}}+4 \ln \left(x \right)+4 \ln \left(x +1\right)$&$22$\\ norman&$\frac{-x^{4}-48}{x^{2}}+4 \ln \left(x \right)+4 \ln \left(x +1\right)$&$23$\\ meijerg&$\frac{x \left(-3 x +6\right)}{3}-2 x +4 \ln \left(x +1\right)+4 \ln \left(x \right)-\frac{48}{x^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"-x^2-48/x^2+4*ln(x^2+x)","A"
8624,0,0,27,0.026000," ","int(((-3*x+12)*ln(2/x^2)*ln(-x/(x-4)/ln(2/x^2))+(-6*x^2+24*x+12)*ln(2/x^2)-6*x+24)/((x^3-4*x^2)*ln(2/x^2)*ln(-x/(x-4)/ln(2/x^2))^2+(2*x^4-8*x^3)*ln(2/x^2)*ln(-x/(x-4)/ln(2/x^2))+(x^5-4*x^4)*ln(2/x^2)),x)","\[\int \frac{\left(-3 x +12\right) \ln \left(\frac{2}{x^{2}}\right) \ln \left(-\frac{x}{\left(x -4\right) \ln \left(\frac{2}{x^{2}}\right)}\right)+\left(-6 x^{2}+24 x +12\right) \ln \left(\frac{2}{x^{2}}\right)-6 x +24}{\left(x^{3}-4 x^{2}\right) \ln \left(\frac{2}{x^{2}}\right) \ln \left(-\frac{x}{\left(x -4\right) \ln \left(\frac{2}{x^{2}}\right)}\right)^{2}+\left(2 x^{4}-8 x^{3}\right) \ln \left(\frac{2}{x^{2}}\right) \ln \left(-\frac{x}{\left(x -4\right) \ln \left(\frac{2}{x^{2}}\right)}\right)+\left(x^{5}-4 x^{4}\right) \ln \left(\frac{2}{x^{2}}\right)}\, dx\]"," ",0,"int(((-3*x+12)*ln(2/x^2)*ln(-x/(x-4)/ln(2/x^2))+(-6*x^2+24*x+12)*ln(2/x^2)-6*x+24)/((x^3-4*x^2)*ln(2/x^2)*ln(-x/(x-4)/ln(2/x^2))^2+(2*x^4-8*x^3)*ln(2/x^2)*ln(-x/(x-4)/ln(2/x^2))+(x^5-4*x^4)*ln(2/x^2)),x)","F"
8625,1,20,20,0.061000," ","int((-x*exp(x)*ln(x)+((-2*x^2+x)*exp(x)-2*x^2)*exp(x^2)+(-x^2+2*x+1)*exp(x)+x+1)/(x*ln(x)^2+(-2*exp(x^2)*x+2*x^2-2*x)*ln(x)+x*exp(x^2)^2+(-2*x^2+2*x)*exp(x^2)+x^3-2*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{x}+1}{x -1+\ln \left(x \right)-{\mathrm e}^{x^{2}}}$&$20$\\ \hline \end{longtable}"," ",0,"-(exp(x)+1)/(x-1+ln(x)-exp(x^2))","A"
8626,1,20,17,0.059000," ","int((((4+x)*exp(8)+3+x)*exp(x)+(-2*x-3)*exp(8)-x^2-3*x)/((3+x)*exp(x)-x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +{\mathrm e}^{8} \ln \left(3+x \right)+{\mathrm e}^{8} \ln \left(x -{\mathrm e}^{x}\right)$&$20$\\ risch&$x +{\mathrm e}^{8} \ln \left(3+x \right)+{\mathrm e}^{8} \ln \left({\mathrm e}^{x}-x \right)$&$20$\\ \hline \end{longtable}"," ",0,"x+exp(8)*ln(3+x)+exp(8)*ln(x-exp(x))","A"
8627,1,15,14,0.016000," ","int((exp(x)*ln(x)^2+(-216*x^4-864*x^3)*exp(x)*ln(x)+216*exp(x)*x^3)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x}-\frac{216 \,{\mathrm e}^{x} x^{4}}{\ln \left(x \right)}$&$15$\\ \hline \end{longtable}"," ",0,"exp(x)-216*exp(x)*x^4/ln(x)","A"
8628,1,11,15,0.043000," ","int(1/4*(5*exp(5/4/x)+4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x -{\mathrm e}^{\frac{5}{4 x}}$&$11$\\ default&$x -{\mathrm e}^{\frac{5}{4 x}}$&$11$\\ risch&$x -{\mathrm e}^{\frac{5}{4 x}}$&$11$\\ norman&$\frac{x^{2}-x \,{\mathrm e}^{\frac{5}{4 x}}}{x}$&$18$\\ \hline \end{longtable}"," ",0,"x-exp(5/4/x)","A"
8629,1,29,20,0.048000," ","int(((4*x^3+3*x^2-48*x)*ln(x)^2+(2*x^3+2*x^2-48*x)*ln(x))/((x^4+x^3-24*x^2)*ln(x)^2-64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x^{4} \ln \left(x \right)^{2}+x^{3} \ln \left(x \right)^{2}-24 x^{2} \ln \left(x \right)^{2}-64\right)$&$29$\\ risch&$2 \ln \left(x \right)+\ln \left(x^{2}+x -24\right)+\ln \left(\ln \left(x \right)^{2}-\frac{64}{x^{2} \left(x^{2}+x -24\right)}\right)$&$32$\\ \hline \end{longtable}"," ",0,"ln(x^4*ln(x)^2+x^3*ln(x)^2-24*x^2*ln(x)^2-64)","A"
8630,1,43,21,0.141000," ","int(((((x+1)*exp(x)-2*x)*exp(7*x)+(2*x+2)*exp(x)-4*x)*ln(exp(7*x)+2)+((ln(2)*(x+1)-x^2+5*x)*exp(x)-2*x*ln(2)-4*x^2)*exp(7*x)+((2*x+2)*ln(2)-2*x^2-4*x)*exp(x)-4*x*ln(2)+6*x^2)/(exp(7*x)+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{x} x -x^{2}\right) \ln \left({\mathrm e}^{7 x}+2\right)-x^{2} \ln \left(2\right)+x \ln \left(2\right) {\mathrm e}^{x}+x^{3}-{\mathrm e}^{x} x^{2}$&$43$\\ \hline \end{longtable}"," ",0,"(exp(x)*x-x^2)*ln(exp(7*x)+2)-x^2*ln(2)+x*ln(2)*exp(x)+x^3-exp(x)*x^2","A"
8631,1,21,17,0.054000," ","int((-5*x^5+40*x^4-75*x^3+x+1)*exp(ln(x)-x^5+10*x^4-25*x^3+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\ln \left(x \right)-x^{5}+10 x^{4}-25 x^{3}+x}$&$21$\\ norman&${\mathrm e}^{\ln \left(x \right)-x^{5}+10 x^{4}-25 x^{3}+x}$&$21$\\ risch&$x \,{\mathrm e}^{-x \left(x^{2}-5 x +1\right) \left(x^{2}-5 x -1\right)}$&$23$\\ \hline \end{longtable}"," ",0,"exp(ln(x)-x^5+10*x^4-25*x^3+x)","A"
8632,1,53,33,0.286000," ","int((((x^3*ln(3)-6*x)*ln(x)^2+((-6*x^3+24*x^2)*ln(3)-6*x)*ln(x)+(9*x^3-72*x^2+144*x)*ln(3)+6*x^2-42*x+72)*exp(((x^2*ln(3)+6-2*x)*ln(x)+(-3*x^2+12*x)*ln(3))/(x*ln(3)*ln(x)+(-3*x+12)*ln(3)))*exp(exp(((x^2*ln(3)+6-2*x)*ln(x)+(-3*x^2+12*x)*ln(3))/(x*ln(3)*ln(x)+(-3*x+12)*ln(3))))-x^3*ln(3)*ln(x)^2+(6*x^3-24*x^2)*ln(3)*ln(x)+(-9*x^3+72*x^2-144*x)*ln(3))/(x^3*ln(3)*ln(x)^2+(-6*x^3+24*x^2)*ln(3)*ln(x)+(9*x^3-72*x^2+144*x)*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{{\mathrm e}^{\frac{x^{2} \ln \left(3\right) \ln \left(x \right)-3 x^{2} \ln \left(3\right)-2 x \ln \left(x \right)+12 x \ln \left(3\right)+6 \ln \left(x \right)}{\ln \left(3\right) \left(x \ln \left(x \right)-3 x +12\right)}}}$&$53$\\ \hline \end{longtable}"," ",0,"-x+exp(exp((x^2*ln(3)*ln(x)-3*x^2*ln(3)-2*x*ln(x)+12*x*ln(3)+6*ln(x))/ln(3)/(x*ln(x)-3*x+12)))","A"
8633,1,18,21,0.102000," ","int((((x*exp(x)^2-2*x)*ln(x)+3*x*exp(x)^2-2*x)*ln(5*x)+exp(x)^2-2)*exp(ln(-exp(x)^2+2)+x*ln(x))*exp(ln(5*x)*exp(ln(-exp(x)^2+2)+x*ln(x)))/(x*exp(x)^2-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\left(\ln \left(5\right)+\ln \left(x \right)\right) \left(-2+{\mathrm e}^{2 x}\right) x^{x}}$&$18$\\ \hline \end{longtable}"," ",0,"exp(-(ln(5)+ln(x))*(-2+exp(2*x))*x^x)","A"
8634,1,14,13,0.404000," ","int((4*x*ln(2)+3-2*x)/(2*x^2*ln(2)-x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\left(3+2 x \ln \left(2\right)-x \right) x \right)$&$14$\\ norman&$\ln \left(x \right)+\ln \left(3+2 x \ln \left(2\right)-x \right)$&$15$\\ risch&$\ln \left(\left(2 \ln \left(2\right)-1\right) x^{2}+3 x \right)$&$16$\\ derivativedivides&$\ln \left(2 x^{2} \ln \left(2\right)-x^{2}+3 x \right)$&$18$\\ meijerg&$\frac{3 \left(\frac{2 \ln \left(2\right)}{3}-\frac{1}{3}\right) \left(\ln \left(x \right)-\ln \left(3\right)+\ln \left(2 \ln \left(2\right)-1\right)-\ln \left(1+\frac{\left(2 \ln \left(2\right)-1\right) x}{3}\right)\right)}{2 \ln \left(2\right)-1}+\frac{3 \left(\frac{4 \ln \left(2\right)}{3}-\frac{2}{3}\right) \ln \left(1+\frac{\left(2 \ln \left(2\right)-1\right) x}{3}\right)}{2 \ln \left(2\right)-1}$&$74$\\ \hline \end{longtable}"," ",0,"ln((3+2*x*ln(2)-x)*x)","A"
8635,1,18,21,0.037000," ","int(((-10*x-15)*ln(x)-15*x-15)/((x^4+6*x^3+9*x^2)*ln(x)^2+(2*x^4+6*x^3)*ln(x)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5}{x \left(x \ln \left(x \right)+3 \ln \left(x \right)+x \right)}$&$18$\\ risch&$\frac{5}{x \left(x \ln \left(x \right)+3 \ln \left(x \right)+x \right)}$&$18$\\ \hline \end{longtable}"," ",0,"5/x/(x*ln(x)+3*ln(x)+x)","A"
8636,1,7,8,0.410000," ","int(-1/(x-34),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x -34\right)$&$7$\\ norman&$-\ln \left(x -34\right)$&$7$\\ risch&$-\ln \left(x -34\right)$&$7$\\ meijerg&$-\ln \left(1-\frac{x}{34}\right)$&$9$\\ \hline \end{longtable}"," ",0,"-ln(x-34)","A"
8637,1,9,9,0.017000," ","int((-2*x+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x \right)-2 x$&$9$\\ norman&$2 \ln \left(x \right)-2 x$&$9$\\ risch&$2 \ln \left(x \right)-2 x$&$9$\\ \hline \end{longtable}"," ",0,"2*ln(x)-2*x","A"
8638,1,33,19,0.038000," ","int(1/3*((6*x*exp(1)-2)*ln(5)^2+(-36*x*exp(1)+6)*ln(5)+54*x*exp(1))/exp(1)/ln(5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(\ln \left(5\right)-3\right) x \left(3 x \,{\mathrm e} \ln \left(5\right)-9 x \,{\mathrm e}-2 \ln \left(5\right)\right) {\mathrm e}^{-1}}{3 \ln \left(5\right)^{2}}$&$33$\\ norman&$\frac{\frac{\left(\ln \left(5\right)^{2}-6 \ln \left(5\right)+9\right) x^{2}}{\ln \left(5\right)}-\frac{2 \,{\mathrm e}^{-1} \left(\ln \left(5\right)-3\right) x}{3}}{\ln \left(5\right)}$&$36$\\ risch&$x^{2}-\frac{6 x^{2}}{\ln \left(5\right)}-\frac{2 \,{\mathrm e}^{-1} x}{3}+\frac{9 x^{2}}{\ln \left(5\right)^{2}}+\frac{2 \,{\mathrm e}^{-1} x}{\ln \left(5\right)}$&$37$\\ default&$\frac{{\mathrm e}^{-1} \left(\ln \left(5\right)^{2} \left(3 x^{2} {\mathrm e}-2 x \right)+\ln \left(5\right) \left(-18 x^{2} {\mathrm e}+6 x \right)+27 x^{2} {\mathrm e}\right)}{3 \ln \left(5\right)^{2}}$&$49$\\ \hline \end{longtable}"," ",0,"1/3*(ln(5)-3)*x*(3*x*exp(1)*ln(5)-9*x*exp(1)-2*ln(5))/exp(1)/ln(5)^2","A"
8639,1,17,22,0.123000," ","int(1/9*((4*x*exp(1)*ln(3)-4*exp(1))*exp(x*ln(3))+243*x^4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 x^{3}+\frac{4 \,{\mathrm e} 3^{x}}{9 x}$&$17$\\ norman&$\frac{9 x^{4}+\frac{4 \,{\mathrm e} \,{\mathrm e}^{x \ln \left(3\right)}}{9}}{x}$&$20$\\ derivativedivides&$\frac{\ln \left(3\right) \left(\frac{81 x^{3}}{\ln \left(3\right)}-4 \,{\mathrm e} \left(-\frac{{\mathrm e}^{x \ln \left(3\right)}}{x \ln \left(3\right)}-\expIntegralEi \left(1, -x \ln \left(3\right)\right)\right)-4 \,{\mathrm e} \expIntegralEi \left(1, -x \ln \left(3\right)\right)\right)}{9}$&$54$\\ default&$\frac{\ln \left(3\right) \left(\frac{81 x^{3}}{\ln \left(3\right)}-4 \,{\mathrm e} \left(-\frac{{\mathrm e}^{x \ln \left(3\right)}}{x \ln \left(3\right)}-\expIntegralEi \left(1, -x \ln \left(3\right)\right)\right)-4 \,{\mathrm e} \expIntegralEi \left(1, -x \ln \left(3\right)\right)\right)}{9}$&$54$\\ \hline \end{longtable}"," ",0,"9*x^3+4/9*exp(1)/x*3^x","A"
8640,1,24,24,0.041000," ","int(((4*x+1)*ln(x)^4+(-80*x^2-19*x)*ln(x)^2+(6-2*x)*ln(x)+400*x^3+100*x^2-30*x)/(x*ln(x)^4-20*x^2*ln(x)^2+100*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x +\ln \left(x \right)-\frac{x -3}{-\ln \left(x \right)^{2}+10 x}$&$24$\\ norman&$\frac{3-\frac{\ln \left(x \right)^{2}}{10}+40 x^{2}-4 x \ln \left(x \right)^{2}}{-\ln \left(x \right)^{2}+10 x}+\ln \left(x \right)$&$37$\\ \hline \end{longtable}"," ",0,"4*x+ln(x)-(x-3)/(-ln(x)^2+10*x)","A"
8641,1,26,24,0.056000," ","int(((3*x^3+12*x^2+9*x-1)*exp(x^3+6*x^2+9*x+3)-3*x^2-3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3-3 x^{2}+{\mathrm e}^{x^{3}+6 x^{2}+9 x +3}}{x}$&$26$\\ risch&$\frac{3}{x}-3 x +\frac{{\mathrm e}^{x^{3}+6 x^{2}+9 x +3}}{x}$&$28$\\ \hline \end{longtable}"," ",0,"(3-3*x^2+exp(x^3+6*x^2+9*x+3))/x","A"
8642,1,22,20,0.136000," ","int(((-x*exp(-x-6)-x)*ln(196*x^2)-2*exp(-x-6)+2*x)/(x*exp(-x-6)-x^2)/ln(196*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(\ln \left(196 x^{2}\right)\right)+\ln \left(x -{\mathrm e}^{-x -6}\right)$&$22$\\ norman&$-\ln \left(\ln \left(196 x^{2}\right)\right)+\ln \left(x -{\mathrm e}^{-x -6}\right)$&$22$\\ risch&$6+\ln \left({\mathrm e}^{-x -6}-x \right)-\ln \left(\ln \left(x \right)-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(2\right)+4 i \ln \left(7\right)\right)}{4}\right)$&$78$\\ \hline \end{longtable}"," ",0,"-ln(ln(196*x^2))+ln(x-exp(-x-6))","A"
8643,1,31,30,0.090000," ","int(((2*x*exp(3)+2*x^2+1)*ln(2)+(-2*x^3*exp(3)-2*x^4+x^2)*exp(6)+(-2*x^4+4*x^3)*exp(3)-2*x^5+4*x^4+2*x^3-2*x^2)/(x*ln(2)-x^3*exp(6)-x^4+2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \,{\mathrm e}^{3}+x^{2}+\ln \left(x \right)-\ln \left(x^{3}+\left({\mathrm e}^{6}-2\right) x^{2}-\ln \left(2\right)\right)$&$31$\\ default&$x^{2}+2 x \,{\mathrm e}^{3}+\ln \left(x \right)-\ln \left(x^{2} {\mathrm e}^{6}+x^{3}-2 x^{2}-\ln \left(2\right)\right)$&$34$\\ norman&$x^{2}+2 x \,{\mathrm e}^{3}-\ln \left(-x^{2} {\mathrm e}^{6}-x^{3}+2 x^{2}+\ln \left(2\right)\right)+\ln \left(x \right)$&$35$\\ \hline \end{longtable}"," ",0,"2*x*exp(3)+x^2+ln(x)-ln(x^3+(exp(6)-2)*x^2-ln(2))","A"
8644,1,23,23,0.065000," ","int((48*ln(2)^2-24*x)*exp(1+exp(1))/(16*x^2*ln(2)^4+4*(-2*x^3-10*x)*ln(2)^2+x^4+10*x^2+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 \,{\mathrm e}^{1+{\mathrm e}}}{x \ln \left(2\right)^{2}-\frac{x^{2}}{4}-\frac{5}{4}}$&$23$\\ gosper&$-\frac{12 \,{\mathrm e}^{1+{\mathrm e}}}{4 x \ln \left(2\right)^{2}-x^{2}-5}$&$24$\\ norman&$-\frac{12 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}}}{4 x \ln \left(2\right)^{2}-x^{2}-5}$&$24$\\ default&$\frac{24 \,{\mathrm e}^{1+{\mathrm e}} \left(10-8 \ln \left(2\right)^{4}\right)}{\left(20-16 \ln \left(2\right)^{4}\right) \left(x^{2}-4 x \ln \left(2\right)^{2}+5\right)}$&$40$\\ \hline \end{longtable}"," ",0,"-3/(x*ln(2)^2-1/4*x^2-5/4)*exp(1+exp(1))","A"
8645,1,118,21,0.105000," ","int(((12-6*x)*ln(x)*ln((x-2)/ln(x))+(2*(12-6*x)*ln(2)-3*x)*ln(x)+3*x-6)/((x^4-2*x^3)*ln(x)*ln((x-2)/ln(x))^2+2*(2*x^4-4*x^3)*ln(2)*ln(x)*ln((x-2)/ln(x))+4*(x^4-2*x^3)*ln(2)^2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{6 i}{x^{2} \left(\pi  \,\mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(\frac{i \left(x -2\right)}{\ln \left(x \right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(\frac{i \left(x -2\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-\pi  \mathrm{csgn}\left(\frac{i \left(x -2\right)}{\ln \left(x \right)}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \left(x -2\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-4 i \ln \left(2\right)+2 i \ln \left(\ln \left(x \right)\right)-2 i \ln \left(x -2\right)\right)}$&$118$\\ \hline \end{longtable}"," ",0,"-6*I/x^2/(Pi*csgn(I*(x-2))*csgn(I/ln(x)*(x-2))^2-Pi*csgn(I*(x-2))*csgn(I/ln(x)*(x-2))*csgn(I/ln(x))-Pi*csgn(I/ln(x)*(x-2))^3+Pi*csgn(I/ln(x)*(x-2))^2*csgn(I/ln(x))-4*I*ln(2)+2*I*ln(ln(x))-2*I*ln(x-2))","C"
8646,1,70,25,0.051000," ","int((((3*x^3+2*x^2-x)*exp(x)^2+(6*x^4-45*x^3+96*x^2+49*x)*exp(x)+3*x^5+2*x^4+48*x^3+49*x)*ln(x)+(x^3+x^2+2*x-1)*exp(x)^2+(2*x^4+2*x^3+53*x^2-149*x-49)*exp(x)+x^5+x^4+51*x^3-x^2-196*x)/(x*exp(x)^2+2*exp(x)*x^2+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{4}+{\mathrm e}^{x} x^{3}+x^{3}+{\mathrm e}^{x} x^{2}+48 x^{2}-{\mathrm e}^{x} x -49\right) \ln \left(x \right)}{{\mathrm e}^{x}+x}-\frac{x \ln \left(x \right)+{\mathrm e}^{x} \ln \left(x \right)-3 x^{2}-3 \,{\mathrm e}^{x} x -147}{{\mathrm e}^{x}+x}$&$70$\\ \hline \end{longtable}"," ",0,"(x^4+exp(x)*x^3+x^3+exp(x)*x^2+48*x^2-exp(x)*x-49)/(exp(x)+x)*ln(x)-(x*ln(x)+exp(x)*ln(x)-3*x^2-3*exp(x)*x-147)/(exp(x)+x)","B"
8647,1,19,18,0.461000," ","int(ln(ln(10*ln(2)+5*I*Pi))/(x^2+4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{\ln \left(\ln \left(10 \ln \left(2\right)+5 i \pi \right)\right)}{2+x}$&$19$\\ default&$-\frac{\ln \left(\ln \left(10 \ln \left(2\right)+5 i \pi \right)\right)}{2+x}$&$19$\\ risch&$-\frac{\ln \left(\ln \left(5 i \left(-2 i \ln \left(2\right)+\pi \right)\right)\right)}{2+x}$&$20$\\ norman&$-\frac{\ln \left(\ln \left(5\right)+\ln \left(2 \ln \left(2\right)+i \pi \right)\right)}{2+x}$&$22$\\ meijerg&$\frac{\ln \left(\ln \left(10 \ln \left(2\right)+5 i \pi \right)\right) x}{2 x +4}$&$22$\\ \hline \end{longtable}"," ",0,"-ln(ln(10*ln(2)+5*I*Pi))/(2+x)","A"
8648,1,12,25,0.011000," ","int(10*ln(2)+5*I*Pi,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(10 \ln \left(2\right)+5 i \pi \right) x$&$12$\\ norman&$\left(10 \ln \left(2\right)+5 i \pi \right) x$&$12$\\ risch&$10 x \ln \left(2\right)+5 i \pi  x$&$12$\\ \hline \end{longtable}"," ",0,"(10*ln(2)+5*I*Pi)*x","A"
8649,1,25,18,0.140000," ","int((-15*x^4+5*x^2-20)*exp((x*exp(4)-5*x^4+5*x^2-55*x+20)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{x \,{\mathrm e}^{4}-5 x^{4}+5 x^{2}-55 x +20}{x}}$&$25$\\ norman&${\mathrm e}^{\frac{x \,{\mathrm e}^{4}-5 x^{4}+5 x^{2}-55 x +20}{x}}$&$25$\\ risch&${\mathrm e}^{\frac{x \,{\mathrm e}^{4}-5 x^{4}+5 x^{2}-55 x +20}{x}}$&$25$\\ \hline \end{longtable}"," ",0,"exp((x*exp(4)-5*x^4+5*x^2-55*x+20)/x)","A"
8650,1,27,25,0.035000," ","int((4*exp(x)*exp(2*x)^2-20*exp(x)*exp(2*x)+(-2*x+8)*exp(x)+x-1)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$8 x -x \,{\mathrm e}^{-x}-x^{2}-10 \,{\mathrm e}^{2 x}+{\mathrm e}^{4 x}$&$27$\\ risch&$8 x -x \,{\mathrm e}^{-x}-x^{2}-10 \,{\mathrm e}^{2 x}+{\mathrm e}^{4 x}$&$27$\\ norman&$\left({\mathrm e}^{5 x}-x -10 \,{\mathrm e}^{3 x}+8 \,{\mathrm e}^{x} x -{\mathrm e}^{x} x^{2}\right) {\mathrm e}^{-x}$&$32$\\ \hline \end{longtable}"," ",0,"8*x-x/exp(x)-x^2-10*exp(x)^2+exp(x)^4","A"
8651,1,49,42,0.094000," ","int(((400*x^4-29950*x^3+746250*x^2-6156250*x-781250)*exp(4*x^2+x)^2+(-11600*x^4+618550*x^3-9172500*x^2+23875000*x+2343750)*exp(4*x^2+x)-906250*x+3125000)/(x^3-75*x^2+1875*x-15625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{906250 x -12890625}{x^{2}-50 x +625}+25 \,{\mathrm e}^{2 x \left(4 x +1\right)}-\frac{50 \left(29 x -100\right) {\mathrm e}^{x \left(4 x +1\right)}}{x -25}$&$49$\\ norman&$\frac{906250 x +15625 \,{\mathrm e}^{8 x^{2}+2 x}+41250 \,{\mathrm e}^{4 x^{2}+x} x -1450 \,{\mathrm e}^{4 x^{2}+x} x^{2}-1250 \,{\mathrm e}^{8 x^{2}+2 x} x +25 \,{\mathrm e}^{8 x^{2}+2 x} x^{2}-125000 \,{\mathrm e}^{4 x^{2}+x}-12890625}{\left(x -25\right)^{2}}$&$86$\\ \hline \end{longtable}"," ",0,"(906250*x-12890625)/(x^2-50*x+625)+25*exp(2*x*(4*x+1))-50*(29*x-100)/(x-25)*exp(x*(4*x+1))","A"
8652,1,21,32,0.208000," ","int((5*x^2*exp(-x+4)^2+(10*x^3-30*x^2-2*x+2)*exp(-x+4)+5*x^4-30*x^3+45*x^2+4*x-6)/(x^2*exp(-x+4)^2+(2*x^3-6*x^2)*exp(-x+4)+x^4-6*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x -\frac{2}{x \left(-3+{\mathrm e}^{-x +4}+x \right)}$&$21$\\ norman&$\frac{-2-15 x^{2}+5 x^{3}+5 x^{2} {\mathrm e}^{-x +4}}{x \left(-3+{\mathrm e}^{-x +4}+x \right)}$&$39$\\ \hline \end{longtable}"," ",0,"5*x-2/x/(-3+exp(-x+4)+x)","A"
8653,1,38,22,0.042000," ","int((2*x^7*ln(x)^3-12*x^5*ln(3)*ln(x)^2+(14*x^3*ln(3)^2-2*x^5*ln(3))*ln(x)-4*x*ln(3)^3+2*x^3*ln(3)^2)/(x^6*ln(x)^3-6*x^4*ln(3)*ln(x)^2+12*x^2*ln(3)^2*ln(x)-8*ln(3)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{\left(-2 x^{2} \ln \left(x \right)+3 \ln \left(3\right)\right) \ln \left(3\right) x^{2}}{\left(-x^{2} \ln \left(x \right)+2 \ln \left(3\right)\right)^{2}}$&$38$\\ \hline \end{longtable}"," ",0,"x^2-(-2*x^2*ln(x)+3*ln(3))*ln(3)*x^2/(-x^2*ln(x)+2*ln(3))^2","A"
8654,1,39,24,0.073000," ","int(1/8*((-x^2*exp(1/4*x)-8*x)*ln(x)-4*x)*exp(exp(1/4*x))+1/8*(-16*x*ln(2)-8*x*exp(4)+72*x)*ln(x)-x*ln(2)-1/2*x*exp(4)+9/2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right) x^{2} {\mathrm e}^{{\mathrm e}^{\frac{x}{4}}}}{2}-x^{2} \ln \left(2\right) \ln \left(x \right)-\frac{x^{2} {\mathrm e}^{4} \ln \left(x \right)}{2}+\frac{9 x^{2} \ln \left(x \right)}{2}$&$39$\\ \hline \end{longtable}"," ",0,"-1/2*ln(x)*x^2*exp(exp(1/4*x))-x^2*ln(2)*ln(x)-1/2*x^2*exp(4)*ln(x)+9/2*x^2*ln(x)","A"
8655,1,44,24,0.132000," ","int(1/7*(((7*exp(x)+21)*exp(4*x)+(-x-28)*exp(x)+x+27)*exp(exp(x)-x)+(-28*x-7)*exp(4*x)+2*x+35)*exp(1/7*(7*exp(4*x)-x-28)*exp(exp(x)-x)-x*exp(4*x)+1/7*x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{3 x +{\mathrm e}^{x}}-\frac{{\mathrm e}^{{\mathrm e}^{x}-x} x}{7}-4 \,{\mathrm e}^{{\mathrm e}^{x}-x}-x \,{\mathrm e}^{4 x}+\frac{x^{2}}{7}+5 x}$&$44$\\ \hline \end{longtable}"," ",0,"exp(exp(3*x+exp(x))-1/7*exp(exp(x)-x)*x-4*exp(exp(x)-x)-x*exp(4*x)+1/7*x^2+5*x)","A"
8656,1,7,10,0.406000," ","int(-1/(x+7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x +7\right)$&$7$\\ norman&$-\ln \left(x +7\right)$&$7$\\ risch&$-\ln \left(x +7\right)$&$7$\\ meijerg&$-\ln \left(1+\frac{x}{7}\right)$&$9$\\ \hline \end{longtable}"," ",0,"-ln(x+7)","A"
8657,1,15,18,0.016000," ","int(900*x^3-60*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$225 x^{4}-30 x^{2}-x$&$15$\\ default&$225 x^{4}-30 x^{2}-x$&$15$\\ norman&$225 x^{4}-30 x^{2}-x$&$15$\\ risch&$225 x^{4}-30 x^{2}-x$&$15$\\ \hline \end{longtable}"," ",0,"225*x^4-30*x^2-x","A"
8658,1,25,17,0.139000," ","int((((245*x^2-1225)*exp(5/x)+245*x^3+1225*x^2)*exp(x)+5*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x +\left(980+245 x \right) {\mathrm e}^{x}+245 \,{\mathrm e}^{\frac{x^{2}+5}{x}}$&$25$\\ norman&$\frac{5 x^{2}+980 \,{\mathrm e}^{x} x +245 \,{\mathrm e}^{x} x^{2}+245 \,{\mathrm e}^{x} x \,{\mathrm e}^{\frac{5}{x}}}{x}$&$34$\\ \hline \end{longtable}"," ",0,"5*x+(980+245*x)*exp(x)+245*exp((x^2+5)/x)","A"
8659,1,18,17,0.046000," ","int((-16*exp(x)+128)/((exp(x)-8*x-20)*ln(-5/4*exp(x)+10*x+25)+4*exp(x)-32*x-80)/ln(ln(-5/4*exp(x)+10*x+25)+4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16}{\ln \left(\ln \left(-\frac{5 \,{\mathrm e}^{x}}{4}+10 x +25\right)+4\right)}$&$18$\\ \hline \end{longtable}"," ",0,"16/ln(ln(-5/4*exp(x)+10*x+25)+4)","A"
8660,1,13,14,0.407000," ","int((3*x^2+9*x-16)/(x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x -4 \ln \left(x \right)+\ln \left(4+x \right)$&$13$\\ norman&$3 x -4 \ln \left(x \right)+\ln \left(4+x \right)$&$13$\\ risch&$3 x -4 \ln \left(x \right)+\ln \left(4+x \right)$&$13$\\ meijerg&$-4 \ln \left(x \right)+8 \ln \left(2\right)+\ln \left(1+\frac{x}{4}\right)+3 x$&$19$\\ \hline \end{longtable}"," ",0,"3*x-4*ln(x)+ln(4+x)","A"
8661,1,25,24,0.047000," ","int((exp(x)^2*x^2+(5*x^3-4*x^2-1)*exp(x)+5*x^4+70*x^3-70*x^2-5*x)/(exp(x)^2*x^2+(x^3+15*x^2+x)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x \,{\mathrm e}^{-x}+\ln \left({\mathrm e}^{x}+\frac{x^{2}+15 x +1}{x}\right)$&$25$\\ norman&$-5 x \,{\mathrm e}^{-x}-\ln \left(x \right)+\ln \left({\mathrm e}^{x} x +x^{2}+15 x +1\right)$&$26$\\ \hline \end{longtable}"," ",0,"-5*x*exp(-x)+ln(exp(x)+(x^2+15*x+1)/x)","A"
8662,1,18,18,0.041000," ","int((80*x^4*ln(2)^2-5*x+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-5 x +20 x^{4} \ln \left(2\right)^{2}+2 \ln \left(x \right)$&$18$\\ norman&$-5 x +20 x^{4} \ln \left(2\right)^{2}+2 \ln \left(x \right)$&$18$\\ risch&$-5 x +20 x^{4} \ln \left(2\right)^{2}+2 \ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"-5*x+20*x^4*ln(2)^2+2*ln(x)","A"
8663,1,36,30,0.079000," ","int(1/9*(-2734375*x^7+6250*x^5-15000*x^4-3*x^3+12*x^2-9*x-9)*exp(-390625/9*x^7+1250/9*x^5-1250/3*x^4-1/9*x^3+2/3*x^2-x+1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{-\frac{390625}{9} x^{7}+\frac{1250}{9} x^{5}-\frac{1250}{3} x^{4}-\frac{1}{9} x^{3}+\frac{2}{3} x^{2}-x +1}}{x}$&$36$\\ norman&$\frac{{\mathrm e}^{-\frac{390625}{9} x^{7}+\frac{1250}{9} x^{5}-\frac{1250}{3} x^{4}-\frac{1}{9} x^{3}+\frac{2}{3} x^{2}-x +1}}{x}$&$36$\\ risch&$\frac{{\mathrm e}^{-\frac{\left(25 x^{2}+x +1\right) \left(15625 x^{5}-625 x^{4}-650 x^{3}+201 x^{2}+18 x -9\right)}{9}}}{x}$&$41$\\ \hline \end{longtable}"," ",0,"exp(-390625/9*x^7+1250/9*x^5-1250/3*x^4-1/9*x^3+2/3*x^2-x+1)/x","A"
8664,1,102,14,0.204000," ","int((8*x*ln(2/9*x*ln(3)*exp(x))+4*x^2+4*x)*exp(4*x^2*ln(2/9*x*ln(3)*exp(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x^{2} \left(-i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}+i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)+2 \ln \left(x \right)+2 \ln \left(\ln \left(3\right)\right)+2 \ln \left(2\right)-4 \ln \left(3\right)+2 \ln \left({\mathrm e}^{x}\right)\right)}$&$102$\\ \hline \end{longtable}"," ",0,"exp(2*x^2*(-I*Pi*csgn(I*x*exp(x))^3+I*Pi*csgn(I*x*exp(x))^2*csgn(I*x)+I*Pi*csgn(I*x*exp(x))^2*csgn(I*exp(x))-I*Pi*csgn(I*x*exp(x))*csgn(I*x)*csgn(I*exp(x))+2*ln(x)+2*ln(ln(3))+2*ln(2)-4*ln(3)+2*ln(exp(x))))","C"
8665,1,79,26,0.721000," ","int(((-25*x^4*ln(5)^6+100*x^4*ln(5)^5-150*x^4*ln(5)^4+100*x^4*ln(5)^3-25*x^4*ln(5)^2)*ln(ln(3))+(5*x^7-20*x^6)*ln(5)^6+(-30*x^7+120*x^6)*ln(5)^5+(75*x^7-300*x^6)*ln(5)^4+(-100*x^7+400*x^6)*ln(5)^3+(75*x^7-300*x^6)*ln(5)^2+(-30*x^7+120*x^6)*ln(5)+5*x^7-20*x^6)/(ln(5)^6*ln(ln(3))^3+((3*x^3+12*x^2)*ln(5)^6+(-6*x^3-24*x^2)*ln(5)^5+(3*x^3+12*x^2)*ln(5)^4)*ln(ln(3))^2+((3*x^6+24*x^5+48*x^4)*ln(5)^6+(-12*x^6-96*x^5-192*x^4)*ln(5)^5+(18*x^6+144*x^5+288*x^4)*ln(5)^4+(-12*x^6-96*x^5-192*x^4)*ln(5)^3+(3*x^6+24*x^5+48*x^4)*ln(5)^2)*ln(ln(3))+(x^9+12*x^8+48*x^7+64*x^6)*ln(5)^6+(-6*x^9-72*x^8-288*x^7-384*x^6)*ln(5)^5+(15*x^9+180*x^8+720*x^7+960*x^6)*ln(5)^4+(-20*x^9-240*x^8-960*x^7-1280*x^6)*ln(5)^3+(15*x^9+180*x^8+720*x^7+960*x^6)*ln(5)^2+(-6*x^9-72*x^8-288*x^7-384*x^6)*ln(5)+x^9+12*x^8+48*x^7+64*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-5 \ln \left(5\right)^{4}+20 \ln \left(5\right)^{3}-30 \ln \left(5\right)^{2}+20 \ln \left(5\right)-5\right) x^{5}}{\left(x^{3} \ln \left(5\right)^{2}+4 x^{2} \ln \left(5\right)^{2}-2 x^{3} \ln \left(5\right)+\ln \left(5\right)^{2} \ln \left(\ln \left(3\right)\right)-8 x^{2} \ln \left(5\right)+x^{3}+4 x^{2}\right)^{2}}$&$79$\\ default&$-\frac{\left(5 \ln \left(5\right)^{4}-20 \ln \left(5\right)^{3}+30 \ln \left(5\right)^{2}-20 \ln \left(5\right)+5\right) x^{5}}{\left(x^{3} \ln \left(5\right)^{2}+4 x^{2} \ln \left(5\right)^{2}-2 x^{3} \ln \left(5\right)+\ln \left(5\right)^{2} \ln \left(\ln \left(3\right)\right)-8 x^{2} \ln \left(5\right)+x^{3}+4 x^{2}\right)^{2}}$&$80$\\ gosper&$-\frac{5 x^{5} \left(\ln \left(5\right)^{4}-4 \ln \left(5\right)^{3}+6 \ln \left(5\right)^{2}-4 \ln \left(5\right)+1\right)}{\ln \left(5\right)^{4} x^{6}+8 \ln \left(5\right)^{4} x^{5}-4 \ln \left(5\right)^{3} x^{6}+2 x^{3} \ln \left(5\right)^{4} \ln \left(\ln \left(3\right)\right)+16 x^{4} \ln \left(5\right)^{4}-32 x^{5} \ln \left(5\right)^{3}+6 x^{6} \ln \left(5\right)^{2}+8 x^{2} \ln \left(5\right)^{4} \ln \left(\ln \left(3\right)\right)-4 x^{3} \ln \left(5\right)^{3} \ln \left(\ln \left(3\right)\right)-64 x^{4} \ln \left(5\right)^{3}+48 x^{5} \ln \left(5\right)^{2}-4 x^{6} \ln \left(5\right)+\ln \left(5\right)^{4} \ln \left(\ln \left(3\right)\right)^{2}-16 \ln \left(5\right)^{3} x^{2} \ln \left(\ln \left(3\right)\right)+2 x^{3} \ln \left(5\right)^{2} \ln \left(\ln \left(3\right)\right)+96 x^{4} \ln \left(5\right)^{2}-32 x^{5} \ln \left(5\right)+x^{6}+8 \ln \left(5\right)^{2} x^{2} \ln \left(\ln \left(3\right)\right)-64 x^{4} \ln \left(5\right)+8 x^{5}+16 x^{4}}$&$227$\\ risch&$\frac{\left(-5 \ln \left(5\right)^{4}+20 \ln \left(5\right)^{3}-30 \ln \left(5\right)^{2}+20 \ln \left(5\right)-5\right) x^{5}}{\ln \left(5\right)^{4} x^{6}+8 \ln \left(5\right)^{4} x^{5}-4 \ln \left(5\right)^{3} x^{6}+2 x^{3} \ln \left(5\right)^{4} \ln \left(\ln \left(3\right)\right)+16 x^{4} \ln \left(5\right)^{4}-32 x^{5} \ln \left(5\right)^{3}+6 x^{6} \ln \left(5\right)^{2}+8 x^{2} \ln \left(5\right)^{4} \ln \left(\ln \left(3\right)\right)-4 x^{3} \ln \left(5\right)^{3} \ln \left(\ln \left(3\right)\right)-64 x^{4} \ln \left(5\right)^{3}+48 x^{5} \ln \left(5\right)^{2}-4 x^{6} \ln \left(5\right)+\ln \left(5\right)^{4} \ln \left(\ln \left(3\right)\right)^{2}-16 \ln \left(5\right)^{3} x^{2} \ln \left(\ln \left(3\right)\right)+2 x^{3} \ln \left(5\right)^{2} \ln \left(\ln \left(3\right)\right)+96 x^{4} \ln \left(5\right)^{2}-32 x^{5} \ln \left(5\right)+x^{6}+8 \ln \left(5\right)^{2} x^{2} \ln \left(\ln \left(3\right)\right)-64 x^{4} \ln \left(5\right)+8 x^{5}+16 x^{4}}$&$228$\\ \hline \end{longtable}"," ",0,"(-5*ln(5)^4+20*ln(5)^3-30*ln(5)^2+20*ln(5)-5)*x^5/(x^3*ln(5)^2+4*x^2*ln(5)^2-2*x^3*ln(5)+ln(5)^2*ln(ln(3))-8*x^2*ln(5)+x^3+4*x^2)^2","B"
8666,1,22,19,0.051000," ","int((((x+1)*exp(x)-3)*ln(x)^2+((4*x^2+4*x)*exp(x)-3*x^2-12*x)*ln(x)+(4*x^3+4*x^2)*exp(x)-4*x^3-11*x^2)/(ln(x)^2+4*x*ln(x)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x} x -3 x -\frac{x^{3}}{2 x +\ln \left(x \right)}$&$22$\\ \hline \end{longtable}"," ",0,"exp(x)*x-3*x-x^3/(2*x+ln(x))","A"
8667,1,18,23,0.081000," ","int(1/3*((-13*x-4)*exp(1/3/x)+9*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x +\frac{\left(4+x \right) {\mathrm e}^{\frac{1}{3 x}}}{x}$&$18$\\ derivativedivides&$3 x +\frac{4 \,{\mathrm e}^{\frac{1}{3 x}}}{x}+{\mathrm e}^{\frac{1}{3 x}}$&$22$\\ default&$3 x +\frac{4 \,{\mathrm e}^{\frac{1}{3 x}}}{x}+{\mathrm e}^{\frac{1}{3 x}}$&$22$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{1}{3 x}}+3 x^{3}+4 \,{\mathrm e}^{\frac{1}{3 x}} x}{x^{2}}$&$30$\\ \hline \end{longtable}"," ",0,"3*x+(4+x)/x*exp(1/3/x)","A"
8668,1,21,20,0.124000," ","int(((125*exp(x)^3+6750*exp(x)^2+91125*exp(x))*exp(5*exp(x))*exp(exp(5*exp(x)))^2+8*exp(x)^2+440*exp(x)+5832)/(8*exp(x)^2+432*exp(x)+5832),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{1}{27+{\mathrm e}^{x}}+\frac{25 \,{\mathrm e}^{2 \,{\mathrm e}^{5 \,{\mathrm e}^{x}}}}{16}$&$21$\\ \hline \end{longtable}"," ",0,"x-1/(27+exp(x))+25/16*exp(2*exp(5*exp(x)))","A"
8669,1,21,19,0.056000," ","int(1/20*((-2*x^3+x^2-2)*exp((x^2*ln(5)-2*x^3+1)/x^2)+12*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{2 x^{3}-1}{x^{2}}} x}{4}+\frac{3 x}{5}$&$21$\\ norman&$\frac{\frac{3 x^{2}}{5}+\frac{{\mathrm e}^{\frac{x^{2} \ln \left(5\right)-2 x^{3}+1}{x^{2}}} x^{2}}{20}}{x}$&$34$\\ \hline \end{longtable}"," ",0,"1/4*exp(-(2*x^3-1)/x^2)*x+3/5*x","A"
8670,1,229,19,0.753000," ","int(((4*x^3+6*x^2+2*x)*ln(x)*ln(ln(x))*ln(ln(ln(x))^2)+2*x^3+4*x^2+2*x)/((x^4+2*x^3+x^2)*ln(x)*ln(ln(x))*ln(ln(ln(x))^2)-exp(25)*ln(x)*ln(ln(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x^{2}+x \right)+\ln \left(\ln \left(\ln \left(\ln \left(x \right)\right)\right)-\frac{i \left(\pi  \,x^{4} \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)-2 \pi  \,x^{4} \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)^{2}+\pi  \,x^{4} \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)^{3}+2 \pi  \,x^{3} \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)-4 \pi  \,x^{3} \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)^{2}+2 \pi  \,x^{3} \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)^{3}+\pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)-2 \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)^{2}+\pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(\ln \left(x \right)\right)^{2}\right)^{3}-2 i {\mathrm e}^{25}\right)}{4 x^{2} \left(x^{2}+2 x +1\right)}\right)$&$229$\\ \hline \end{longtable}"," ",0,"2*ln(x^2+x)+ln(ln(ln(ln(x)))-1/4*I*(Pi*x^4*csgn(I*ln(ln(x)))^2*csgn(I*ln(ln(x))^2)-2*Pi*x^4*csgn(I*ln(ln(x)))*csgn(I*ln(ln(x))^2)^2+Pi*x^4*csgn(I*ln(ln(x))^2)^3+2*Pi*x^3*csgn(I*ln(ln(x)))^2*csgn(I*ln(ln(x))^2)-4*Pi*x^3*csgn(I*ln(ln(x)))*csgn(I*ln(ln(x))^2)^2+2*Pi*x^3*csgn(I*ln(ln(x))^2)^3+Pi*x^2*csgn(I*ln(ln(x)))^2*csgn(I*ln(ln(x))^2)-2*Pi*x^2*csgn(I*ln(ln(x)))*csgn(I*ln(ln(x))^2)^2+Pi*x^2*csgn(I*ln(ln(x))^2)^3-2*I*exp(25))/x^2/(x^2+2*x+1))","C"
8671,1,12,23,0.017000," ","int(-4*x^3-6*x-10,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(x^{3}+3 x +10\right)$&$12$\\ default&$-x^{4}-3 x^{2}-10 x$&$15$\\ norman&$-x^{4}-3 x^{2}-10 x$&$15$\\ risch&$-x^{4}-3 x^{2}-10 x$&$15$\\ \hline \end{longtable}"," ",0,"-x*(x^3+3*x+10)","A"
8672,1,40,22,0.491000," ","int(((-x^3-2*x-1)*ln((2*x^3+4*x+2)/x)+(-2*x^3+1)*ln(x)+11*x^3+2*x-4)/(x^4+2*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 \ln \left(x^{3}+2 x +1\right)-4 \ln \left(x \right)-\ln \left(x \right) \ln \left(\frac{x^{3}+2 x +1}{x}\right)-\ln \left(2\right) \ln \left(x \right)$&$40$\\ risch&$-\ln \left(x \right) \ln \left(x^{3}+2 x +1\right)+\ln \left(x \right)^{2}+\frac{i \pi  \ln \left(\left(59 \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x^{3}+2 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)-59 \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{2}-59 \pi  \,\mathrm{csgn}\left(i \left(x^{3}+2 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{2}+59 \pi  \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{3}+118 i \ln \left(2\right)+1062 i\right) x \right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x^{3}+2 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)}{2}-\frac{i \pi  \ln \left(\left(59 \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x^{3}+2 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)-59 \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{2}-59 \pi  \,\mathrm{csgn}\left(i \left(x^{3}+2 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{2}+59 \pi  \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{3}+118 i \ln \left(2\right)+1062 i\right) x \right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{2}}{2}-\frac{i \pi  \ln \left(\left(59 \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x^{3}+2 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)-59 \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{2}-59 \pi  \,\mathrm{csgn}\left(i \left(x^{3}+2 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{2}+59 \pi  \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{3}+118 i \ln \left(2\right)+1062 i\right) x \right) \mathrm{csgn}\left(i \left(x^{3}+2 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{2}}{2}+\frac{i \pi  \ln \left(\left(59 \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x^{3}+2 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)-59 \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{2}-59 \pi  \,\mathrm{csgn}\left(i \left(x^{3}+2 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{2}+59 \pi  \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{3}+118 i \ln \left(2\right)+1062 i\right) x \right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{3}}{2}-\ln \left(2\right) \ln \left(\left(59 \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x^{3}+2 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)-59 \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{2}-59 \pi  \,\mathrm{csgn}\left(i \left(x^{3}+2 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{2}+59 \pi  \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{3}+118 i \ln \left(2\right)+1062 i\right) x \right)-4 \ln \left(\left(59 \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x^{3}+2 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)-59 \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{2}-59 \pi  \,\mathrm{csgn}\left(i \left(x^{3}+2 x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{2}+59 \pi  \mathrm{csgn}\left(\frac{i \left(x^{3}+2 x +1\right)}{x}\right)^{3}+118 i \ln \left(2\right)+1062 i\right) x \right)+5 \ln \left(x^{3}+2 x +1\right)$&$918$\\ \hline \end{longtable}"," ",0,"5*ln(x^3+2*x+1)-4*ln(x)-ln(x)*ln((x^3+2*x+1)/x)-ln(2)*ln(x)","A"
8673,1,19,21,0.031000," ","int(1/2*((-2*x-2)*exp(x+ln(x))-4*x^2*ln(x)^2-4*x^2*ln(x)+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{2}-x^{2} \ln \left(x \right)^{2}-{\mathrm e}^{x} x$&$19$\\ risch&$\frac{x}{2}-x^{2} \ln \left(x \right)^{2}-{\mathrm e}^{x} x$&$19$\\ norman&$\frac{x}{2}-x^{2} \ln \left(x \right)^{2}-{\mathrm e}^{x +\ln \left(x \right)}$&$21$\\ \hline \end{longtable}"," ",0,"1/2*x-x^2*ln(x)^2-exp(x)*x","A"
8674,1,28,28,0.080000," ","int(((-2*x^2-8)*ln(x)^3+(30*x^3+24*x^2+120*x+96)*ln(x)^2+(-153*x^4-240*x^3-696*x^2-960*x-384)*ln(x)+255*x^5+614*x^4+1480*x^3+2528*x^2+1920*x+512)/(x^2*ln(x)^3+(-15*x^3-12*x^2)*ln(x)^2+(75*x^4+120*x^3+48*x^2)*ln(x)-125*x^5-300*x^4-240*x^3-64*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(x^{2}-4\right)}{x}-\frac{x^{3}}{\left(5 x -\ln \left(x \right)+4\right)^{2}}$&$28$\\ norman&$\frac{128+296 x^{2}+\frac{1856 x}{5}+15 x^{3} \ln \left(x \right)-\frac{x \ln \left(x \right)^{3}}{5}-24 x^{2} \ln \left(x \right)-\frac{544 x \ln \left(x \right)}{5}+\frac{24 x \ln \left(x \right)^{2}}{5}-51 x^{4}+8 \ln \left(x \right)^{2}-64 \ln \left(x \right)}{x \left(5 x -\ln \left(x \right)+4\right)^{2}}+\frac{\ln \left(x \right)}{5}$&$79$\\ \hline \end{longtable}"," ",0,"-2*(x^2-4)/x-x^3/(5*x-ln(x)+4)^2","A"
8675,1,25,24,0.042000," ","int((-16*ln(2)+16*x-8)*exp(-ln(2)^2-2*x*ln(2)+x^2-x+3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$4 \,{\mathrm e}^{-2 \ln \left(2\right)^{2}+x \ln \left(\frac{1}{16}\right)+2 x^{2}-2 x +6}$&$25$\\ default&$4 \,{\mathrm e}^{-2 \ln \left(2\right)^{2}+x \ln \left(\frac{1}{16}\right)+2 x^{2}-2 x +6}$&$25$\\ norman&$4 \,{\mathrm e}^{-2 \ln \left(2\right)^{2}+x \ln \left(\frac{1}{16}\right)+2 x^{2}-2 x +6}$&$25$\\ risch&$4 \,4^{-2 x} {\mathrm e}^{-2 \ln \left(2\right)^{2}+6+2 x^{2}-2 x}$&$25$\\ \hline \end{longtable}"," ",0,"4*exp(-ln(2)^2-2*x*ln(2)+x^2-x+3)^2","A"
8676,1,16,19,0.091000," ","int((-2*x^3+50*x^2+4*x-75)*exp(x^2)*exp(-exp(x^2)/(x^4-25*x^3))/(x^6-50*x^5+625*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{{\mathrm e}^{x^{2}}}{x^{3} \left(x -25\right)}}$&$16$\\ norman&$\frac{x^{4} {\mathrm e}^{-\frac{{\mathrm e}^{x^{2}}}{x^{4}-25 x^{3}}}-25 x^{3} {\mathrm e}^{-\frac{{\mathrm e}^{x^{2}}}{x^{4}-25 x^{3}}}}{x^{3} \left(x -25\right)}$&$56$\\ \hline \end{longtable}"," ",0,"exp(-exp(x^2)/x^3/(x-25))","A"
8677,1,69,28,0.092000," ","int(((((-4*x^2+2*x)*exp(25)+4*x^4-6*x^3+2*x^2)*ln(x)+((-4*x^2+2*x)*exp(4)+4*x^3-2*x^2)*exp(25)+(4*x^4-6*x^3+2*x^2)*exp(4)-4*x^5+6*x^4-2*x^3)*ln(ln(x)+exp(4)-x)^2+((-2*x*exp(25)+6*x^3-4*x^2)*ln(x)+(-2*x+2)*exp(25)^2+(-2*x*exp(4)+4*x^3-6*x^2+4*x)*exp(25)+(6*x^3-4*x^2)*exp(4)-2*x^5-2*x^3+2*x^2)*ln(ln(x)+exp(4)-x)+2*x^2*ln(x)+(2*x^2-2*x)*exp(25)+2*x^2*exp(4)-2*x^4+2*x^3-2*x^2)/(x*ln(x)+x*exp(4)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{50}-2 x^{2} {\mathrm e}^{25}+2 x \,{\mathrm e}^{25}+x^{4}-2 x^{3}+x^{2}\right) \ln \left(\ln \left(x \right)+{\mathrm e}^{4}-x \right)^{2}+\left(-2 x \,{\mathrm e}^{25}+2 x^{3}-2 x^{2}\right) \ln \left(\ln \left(x \right)+{\mathrm e}^{4}-x \right)+x^{2}$&$69$\\ \hline \end{longtable}"," ",0,"(exp(50)-2*x^2*exp(25)+2*x*exp(25)+x^4-2*x^3+x^2)*ln(ln(x)+exp(4)-x)^2+(-2*x*exp(25)+2*x^3-2*x^2)*ln(ln(x)+exp(4)-x)+x^2","B"
8678,1,12,11,0.112000," ","int(((-x^2-3*x+5)*exp(x)+10*x+25)/(exp(x)^2+10*exp(x)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(5+x \right) x}{{\mathrm e}^{x}+5}$&$12$\\ norman&$\frac{x^{2}+5 x}{{\mathrm e}^{x}+5}$&$15$\\ \hline \end{longtable}"," ",0,"(5+x)/(exp(x)+5)*x","A"
8679,1,49,26,0.144000," ","int(((60*exp(2/x)+60*x-60)*exp(3/x)*exp(exp(3/x))+10*exp(2/x)-5*x^2)*exp(4*exp(exp(3/x)))/((x^2*exp(2/x)^2+(2*x^3-2*x^2)*exp(2/x)+x^4-2*x^3+x^2)*exp(4*exp(exp(3/x)))^2+(12*x^2*exp(2/x)+12*x^3-12*x^2)*exp(4*exp(exp(3/x)))+36*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{{\mathrm e}^{\frac{4 \,{\mathrm e}^{{\mathrm e}^{\frac{3}{x}}} x +2}{x}}+{\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}^{\frac{3}{x}}}} x -{\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}^{\frac{3}{x}}}}+6}$&$49$\\ \hline \end{longtable}"," ",0,"5/(exp(2*(2*exp(exp(3/x))*x+1)/x)+exp(4*exp(exp(3/x)))*x-exp(4*exp(exp(3/x)))+6)","A"
8680,0,0,27,0.007000," ","int((-2*x*ln(x^3)*ln(ln(x^3))+(24*x^5-6*x+3)*ln(x^3)-3*x)/ln(x^3),x)","\[\int \frac{-2 x \ln \left(x^{3}\right) \ln \left(\ln \left(x^{3}\right)\right)+\left(24 x^{5}-6 x +3\right) \ln \left(x^{3}\right)-3 x}{\ln \left(x^{3}\right)}\, dx\]"," ",0,"int((-2*x*ln(x^3)*ln(ln(x^3))+(24*x^5-6*x+3)*ln(x^3)-3*x)/ln(x^3),x)","F"
8681,1,103,25,0.069000," ","int(((-2*exp(x)^4+(10*x+5)*exp(x)^2)*ln(x)+(x^2-3*x-10)*exp(x)^4+(10*x^2+50*x+25)*exp(x)^2)/((x^2-4*x+4)*exp(x)^4+(10*x-20)*exp(x)^2+25)/exp(exp(25)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right) \left(2 \,{\mathrm e}^{2 x}-5\right) {\mathrm e}^{-{\mathrm e}^{25}-1}}{x \,{\mathrm e}^{2 x}-2 \,{\mathrm e}^{2 x}+5}+\frac{\left(\ln \left(x \right) {\mathrm e}^{2 x} x +{\mathrm e}^{2 x} x^{2}-2 \ln \left(x \right) {\mathrm e}^{2 x}-2 x \,{\mathrm e}^{2 x}+12 \,{\mathrm e}^{2 x}+5 \ln \left(x \right)-30\right) {\mathrm e}^{-{\mathrm e}^{25}-1}}{x \,{\mathrm e}^{2 x}-2 \,{\mathrm e}^{2 x}+5}$&$103$\\ \hline \end{longtable}"," ",0,"ln(x)/(x*exp(2*x)-2*exp(2*x)+5)*(2*exp(2*x)-5)*exp(-exp(25)-1)+1/(x*exp(2*x)-2*exp(2*x)+5)*(ln(x)*exp(2*x)*x+exp(2*x)*x^2-2*ln(x)*exp(2*x)-2*x*exp(2*x)+12*exp(2*x)+5*ln(x)-30)*exp(-exp(25)-1)","B"
8682,1,14,27,0.023000," ","int(1/25*(-123*x^2-125*x-118)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{123 x}{25}-5 \ln \left(x \right)+\frac{118}{25 x}$&$14$\\ risch&$-\frac{123 x}{25}-5 \ln \left(x \right)+\frac{118}{25 x}$&$14$\\ norman&$\frac{\frac{118}{25}-\frac{123 x^{2}}{25}}{x}-5 \ln \left(x \right)$&$17$\\ \hline \end{longtable}"," ",0,"-123/25*x-5*ln(x)+118/25/x","A"
8683,1,17,20,0.026000," ","int(((x*ln(x)-x-2)*ln(ln(x))-x-2)/(3*x*ln(x)^2*ln(ln(x))^2+(6*x^2+12*x)*ln(x)*ln(ln(x))+3*x^3+12*x^2+12*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2+x}{3 \ln \left(x \right) \ln \left(\ln \left(x \right)\right)+3 x +6}$&$17$\\ \hline \end{longtable}"," ",0,"1/3*(2+x)/(ln(x)*ln(ln(x))+x+2)","A"
8684,1,16,20,0.033000," ","int((-2*exp(x)*ln(2)+x^3-3*x^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{3} {\mathrm e}^{-x}-2 x \ln \left(2\right)$&$16$\\ risch&$-x^{3} {\mathrm e}^{-x}-2 x \ln \left(2\right)$&$16$\\ norman&$\left(-x^{3}-2 x \ln \left(2\right) {\mathrm e}^{x}\right) {\mathrm e}^{-x}$&$19$\\ \hline \end{longtable}"," ",0,"-x^3/exp(x)-2*x*ln(2)","A"
8685,1,516,23,0.304000," ","int((-6*exp(x)*x^4+(-3*x^3-2*x-2)*exp(3))*exp(ln((4*exp(x)^2*x^2+4*x*exp(3)*exp(x)+exp(3)^2)/exp(x)^2/x^2)-x^3-14)/(2*exp(x)*x^2+x*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(4 \,{\mathrm e}^{2 x} x^{2}+4 \,{\mathrm e}^{3+x} x +{\mathrm e}^{6}\right) {\mathrm e}^{-2 x -14+i \pi  \mathrm{csgn}\left(i \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)\right)+\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)^{2}\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)^{2} {\mathrm e}^{-2 x}}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2}}{2}-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)^{2} {\mathrm e}^{-2 x}}{x^{2}}\right)^{3}}{2}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)^{2}\right) \mathrm{csgn}\left(i \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)\right)^{2}}{2}+\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)^{2} {\mathrm e}^{-2 x}}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)^{2} {\mathrm e}^{-2 x}}{x^{2}}\right)^{2}}{2}-\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)^{2}\right)^{3}}{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-\frac{i \pi  \mathrm{csgn}\left(i \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)^{2}\right)^{3}}{2}+\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(2 \,{\mathrm e}^{x} x +{\mathrm e}^{3}\right)^{2}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right)}{2}+\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}}{2}-x^{3}}}{x^{2}}$&$516$\\ \hline \end{longtable}"," ",0,"(4*exp(2*x)*x^2+4*exp(3+x)*x+exp(6))/x^2*exp(-2*x-14+I*Pi*csgn(I*(2*exp(x)*x+exp(3))^2)^2*csgn(I*(2*exp(x)*x+exp(3)))+1/2*I*Pi*csgn(I*x^2)^3+1/2*I*Pi*csgn(I*x^2)*csgn(I*x)^2+1/2*I*Pi*csgn(I*(2*exp(x)*x+exp(3))^2)*csgn(I*exp(-2*x)*(2*exp(x)*x+exp(3))^2)^2-1/2*I*Pi*csgn(I*exp(-2*x)*(2*exp(x)*x+exp(3))^2)*csgn(I/x^2*(2*exp(x)*x+exp(3))^2*exp(-2*x))*csgn(I/x^2)+1/2*I*Pi*csgn(I*exp(2*x))*csgn(I*exp(x))^2-1/2*I*Pi*csgn(I/x^2*(2*exp(x)*x+exp(3))^2*exp(-2*x))^3-I*Pi*csgn(I*exp(2*x))^2*csgn(I*exp(x))-1/2*I*Pi*csgn(I*(2*exp(x)*x+exp(3))^2)*csgn(I*(2*exp(x)*x+exp(3)))^2+1/2*I*Pi*csgn(I/x^2*(2*exp(x)*x+exp(3))^2*exp(-2*x))^2*csgn(I/x^2)-1/2*I*Pi*csgn(I*(2*exp(x)*x+exp(3))^2)*csgn(I*exp(-2*x)*(2*exp(x)*x+exp(3))^2)*csgn(I*exp(-2*x))+1/2*I*Pi*csgn(I*exp(-2*x)*(2*exp(x)*x+exp(3))^2)*csgn(I/x^2*(2*exp(x)*x+exp(3))^2*exp(-2*x))^2-1/2*I*Pi*csgn(I*exp(-2*x)*(2*exp(x)*x+exp(3))^2)^3-I*Pi*csgn(I*x^2)^2*csgn(I*x)-1/2*I*Pi*csgn(I*(2*exp(x)*x+exp(3))^2)^3+1/2*I*Pi*csgn(I*exp(-2*x)*(2*exp(x)*x+exp(3))^2)^2*csgn(I*exp(-2*x))+1/2*I*Pi*csgn(I*exp(2*x))^3-x^3)","C"
8686,1,23,22,0.102000," ","int(1/4*((-5*ln(5)^2-10*x*ln(5)-15)*exp((x*ln(5)^2+x^2*ln(5)+3*x)/ln(5))-5*ln(5))/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 x}{4}-\frac{5 \,5^{x} {\mathrm e}^{\frac{x \left(x \ln \left(5\right)+3\right)}{\ln \left(5\right)}}}{4}$&$23$\\ norman&$-\frac{5 x}{4}-\frac{5 \,{\mathrm e}^{\frac{x \ln \left(5\right)^{2}+x^{2} \ln \left(5\right)+3 x}{\ln \left(5\right)}}}{4}$&$29$\\ default&$\frac{-5 \ln \left(5\right) {\mathrm e}^{x^{2}+\frac{\left(\ln \left(5\right)^{2}+3\right) x}{\ln \left(5\right)}}-5 x \ln \left(5\right)}{4 \ln \left(5\right)}$&$34$\\ \hline \end{longtable}"," ",0,"-5/4*x-5/4*5^x*exp(x*(x*ln(5)+3)/ln(5))","A"
8687,1,29,29,0.394000," ","int(((8*ln(2)+x^2)*ln(x^2)+2*(2*x-24)*ln(2)-2*x^2-8*x)/((4*(x^2-8*x+16)*exp(4)*ln(2)^2+2*(2*x^3-16*x^2+32*x)*exp(4)*ln(2)+(x^4-8*x^3+16*x^2)*exp(4))*ln(x^2)^2+(4*(-8*x^2+64*x-128)*exp(4)*ln(2)^2+2*(-16*x^3+128*x^2-256*x)*exp(4)*ln(2)+(-8*x^4+64*x^3-128*x^2)*exp(4))*ln(x^2)+4*(16*x^2-128*x+256)*exp(4)*ln(2)^2+2*(32*x^3-256*x^2+512*x)*exp(4)*ln(2)+(16*x^4-128*x^3+256*x^2)*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x \,{\mathrm e}^{-4}}{\left(\ln \left(x^{2}\right)-4\right) \left(x -4\right) \left(x +2 \ln \left(2\right)\right)}$&$29$\\ risch&$-\frac{x \,{\mathrm e}^{-4}}{\left(2 x \ln \left(2\right)+x^{2}-8 \ln \left(2\right)-4 x \right) \left(\ln \left(x^{2}\right)-4\right)}$&$32$\\ \hline \end{longtable}"," ",0,"-x/exp(4)/(ln(x^2)-4)/(x-4)/(x+2*ln(2))","A"
8688,1,25,30,0.474000," ","int(((x^4-4*x^3)*exp(x)-6*x^5+14*x^4+38*x^3+12*x^2)*exp(3*x^2+9*x)*exp(x-exp(x))/(2*x^2-16*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{3} {\mathrm e}^{3 x^{2}-{\mathrm e}^{x}+10 x}}{2 \left(x -4\right)}$&$25$\\ \hline \end{longtable}"," ",0,"-1/2*x^3/(x-4)*exp(3*x^2-exp(x)+10*x)","A"
8689,1,58,20,0.099000," ","int((-x*exp(exp(2))^2+(-12*x^3-4*x^2-52*x)*exp(exp(2))-20*x^5-16*x^4-315*x^3-104*x^2-676*x+1)/(x*ln(x)-x^2*exp(exp(2))^2+(-4*x^4-2*x^3-52*x^2)*exp(exp(2))-4*x^6-4*x^5-105*x^4-52*x^3-676*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-4 x^{5}-4 x^{3} {\mathrm e}^{{\mathrm e}^{2}}-4 x^{4}-x \,{\mathrm e}^{2 \,{\mathrm e}^{2}}-2 x^{2} {\mathrm e}^{{\mathrm e}^{2}}-105 x^{3}-52 x \,{\mathrm e}^{{\mathrm e}^{2}}-52 x^{2}+\ln \left(x \right)-676 x \right)$&$58$\\ norman&$\ln \left(4 x^{5}+4 x^{3} {\mathrm e}^{{\mathrm e}^{2}}+4 x^{4}+x \,{\mathrm e}^{2 \,{\mathrm e}^{2}}+2 x^{2} {\mathrm e}^{{\mathrm e}^{2}}+105 x^{3}+52 x \,{\mathrm e}^{{\mathrm e}^{2}}+52 x^{2}+676 x -\ln \left(x \right)\right)$&$59$\\ \hline \end{longtable}"," ",0,"ln(-4*x^5-4*x^3*exp(exp(2))-4*x^4-x*exp(2*exp(2))-2*x^2*exp(exp(2))-105*x^3-52*x*exp(exp(2))-52*x^2+ln(x)-676*x)","B"
8690,1,137,22,0.066000," ","int(((-1944*x*ln(2)-4860)*ln(x)^4+(9720*x^3*ln(2)^2+(72900*x^2+972*x)*ln(2)+121500*x+4860)*ln(x)^3+(-16200*x^5*ln(2)^3+(-202500*x^4-4860*x^3)*ln(2)^2+(-810000*x^3-48600*x^2)*ln(2)-1012500*x^2-121500*x)*ln(x)^2+(9000*x^7*ln(2)^4+(157500*x^6+8100*x^5)*ln(2)^3+(1012500*x^5+121500*x^4)*ln(2)^2+(2812500*x^4+607500*x^3)*ln(2)+2812500*x^3+1012500*x^2)*ln(x)-4500*x^7*ln(2)^4-90000*x^6*ln(2)^3-675000*x^5*ln(2)^2-2250000*x^4*ln(2)-2812500*x^3)/((243*x^2*ln(2)+1215*x)*ln(x)^4+(-1620*x^4*ln(2)^2-16200*x^3*ln(2)-40500*x^2)*ln(x)^3+(4050*x^6*ln(2)^3+60750*x^5*ln(2)^2+303750*x^4*ln(2)+506250*x^3)*ln(x)^2+(-4500*x^8*ln(2)^4-90000*x^7*ln(2)^3-675000*x^6*ln(2)^2-2250000*x^5*ln(2)-2812500*x^4)*ln(x)+1867*x^10*ln(2)^5+46675*x^9*ln(2)^4+466750*x^8*ln(2)^3+2333750*x^7*ln(2)^2+5834375*x^6*ln(2)+5834375*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 \ln \left(x^{2} \ln \left(2\right)+5 x \right)+\ln \left(\ln \left(x \right)^{4}+\left(-\frac{20 x^{2} \ln \left(2\right)}{3}-\frac{100 x}{3}\right) \ln \left(x \right)^{3}+\left(\frac{50 x^{4} \ln \left(2\right)^{2}}{3}+\frac{500 x^{3} \ln \left(2\right)}{3}+\frac{1250 x^{2}}{3}\right) \ln \left(x \right)^{2}+\left(-\frac{500 x^{6} \ln \left(2\right)^{3}}{27}-\frac{2500 x^{5} \ln \left(2\right)^{2}}{9}-\frac{12500 x^{4} \ln \left(2\right)}{9}-\frac{62500 x^{3}}{27}\right) \ln \left(x \right)+\frac{1867 x^{8} \ln \left(2\right)^{4}}{243}+\frac{37340 x^{7} \ln \left(2\right)^{3}}{243}+\frac{93350 x^{6} \ln \left(2\right)^{2}}{81}+\frac{933500 x^{5} \ln \left(2\right)}{243}+\frac{1166875 x^{4}}{243}\right)$&$137$\\ \hline \end{longtable}"," ",0,"-4*ln(x^2*ln(2)+5*x)+ln(ln(x)^4+(-20/3*x^2*ln(2)-100/3*x)*ln(x)^3+(50/3*x^4*ln(2)^2+500/3*x^3*ln(2)+1250/3*x^2)*ln(x)^2+(-500/27*x^6*ln(2)^3-2500/9*x^5*ln(2)^2-12500/9*x^4*ln(2)-62500/27*x^3)*ln(x)+1867/243*x^8*ln(2)^4+37340/243*x^7*ln(2)^3+93350/81*x^6*ln(2)^2+933500/243*x^5*ln(2)+1166875/243*x^4)","B"
8691,1,20,21,0.152000," ","int((((5*x*ln(x)+5*x*exp(4)+5*x^2)*ln(ln(x)+x+exp(4))-5*ln(x)-5*exp(4)+5*x^2)*exp(x*ln(ln(x)+x+exp(4)))+ln(x)+x+exp(4))/(2*x^2*ln(x)+2*x^2*exp(4)+2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{2 x}+\frac{5 \left(\ln \left(x \right)+x +{\mathrm e}^{4}\right)^{x}}{2 x}$&$20$\\ \hline \end{longtable}"," ",0,"-1/2/x+5/2*(ln(x)+x+exp(4))^x/x","A"
8692,1,28,26,0.090000," ","int(((-x^3-4*x^2+2*x+4)*exp(-x)+2*x^7-8*x^5+8*x^3)*exp(2*x)/(x^7-4*x^5+4*x^3)/exp(-exp(-x)/(x^4-2*x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 x^{5}-4 x^{3}+{\mathrm e}^{-x}}{x^{2} \left(x^{2}-2\right)}}$&$28$\\ \hline \end{longtable}"," ",0,"exp((2*x^5-4*x^3+exp(-x))/x^2/(x^2-2))","A"
8693,1,15,22,0.041000," ","int(((2*x^2-x)*exp(x^2-x)+x*exp(x-9)+x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{x -9}+{\mathrm e}^{x \left(x -1\right)}+\ln \left(x \right)$&$15$\\ norman&$x +{\mathrm e}^{x -9}+{\mathrm e}^{x^{2}-x}+\ln \left(x \right)$&$17$\\ default&$x +\ln \left(x \right)+{\mathrm e}^{x} {\mathrm e}^{-9}+{\mathrm e}^{x^{2}-x}$&$18$\\ \hline \end{longtable}"," ",0,"x+exp(x-9)+exp(x*(x-1))+ln(x)","A"
8694,1,19,18,0.027000," ","int((-x-1)*exp(5+x)+exp(x)-2*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 x -x^{2}-x \,{\mathrm e}^{5} {\mathrm e}^{x}+{\mathrm e}^{x}$&$19$\\ risch&$2 x -x^{2}+{\mathrm e}^{x}-x \,{\mathrm e}^{5+x}$&$19$\\ default&$2 x -{\mathrm e}^{5+x} \left(5+x \right)+5 \,{\mathrm e}^{5+x}-x^{2}+{\mathrm e}^{x}$&$27$\\ \hline \end{longtable}"," ",0,"2*x-x^2-x*exp(5)*exp(x)+exp(x)","A"
8695,1,29,19,0.080000," ","int(1/625*((64*x^4+960*x^3+4800*x^2+8000*x)*exp(4)^4*ln(1/25*x)+(-16*x^4-320*x^3-2400*x^2-8000*x-10000)*exp(4)^4)/x/ln(1/25*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 \,{\mathrm e}^{16} \left(x^{4}+20 x^{3}+150 x^{2}+500 x +625\right)}{625 \ln \left(\frac{x}{25}\right)}$&$29$\\ norman&$\frac{16 \,{\mathrm e}^{16}+\frac{64 x \,{\mathrm e}^{16}}{5}+\frac{96 x^{2} {\mathrm e}^{16}}{25}+\frac{64 x^{3} {\mathrm e}^{16}}{125}+\frac{16 x^{4} {\mathrm e}^{16}}{625}}{\ln \left(\frac{x}{25}\right)}$&$49$\\ derivativedivides&$-40000 \,{\mathrm e}^{16} \expIntegralEi \left(1, -4 \ln \left(\frac{x}{25}\right)\right)-24000 \,{\mathrm e}^{16} \expIntegralEi \left(1, -3 \ln \left(\frac{x}{25}\right)\right)-10000 \,{\mathrm e}^{16} \left(-\frac{x^{4}}{390625 \ln \left(\frac{x}{25}\right)}-4 \expIntegralEi \left(1, -4 \ln \left(\frac{x}{25}\right)\right)\right)-4800 \,{\mathrm e}^{16} \expIntegralEi \left(1, -2 \ln \left(\frac{x}{25}\right)\right)-8000 \,{\mathrm e}^{16} \left(-\frac{x^{3}}{15625 \ln \left(\frac{x}{25}\right)}-3 \expIntegralEi \left(1, -3 \ln \left(\frac{x}{25}\right)\right)\right)-320 \,{\mathrm e}^{16} \expIntegralEi \left(1, -\ln \left(\frac{x}{25}\right)\right)-2400 \,{\mathrm e}^{16} \left(-\frac{x^{2}}{625 \ln \left(\frac{x}{25}\right)}-2 \expIntegralEi \left(1, -2 \ln \left(\frac{x}{25}\right)\right)\right)-320 \,{\mathrm e}^{16} \left(-\frac{x}{25 \ln \left(\frac{x}{25}\right)}-\expIntegralEi \left(1, -\ln \left(\frac{x}{25}\right)\right)\right)+\frac{16 \,{\mathrm e}^{16}}{\ln \left(\frac{x}{25}\right)}$&$180$\\ default&$-40000 \,{\mathrm e}^{16} \expIntegralEi \left(1, -4 \ln \left(\frac{x}{25}\right)\right)-24000 \,{\mathrm e}^{16} \expIntegralEi \left(1, -3 \ln \left(\frac{x}{25}\right)\right)-10000 \,{\mathrm e}^{16} \left(-\frac{x^{4}}{390625 \ln \left(\frac{x}{25}\right)}-4 \expIntegralEi \left(1, -4 \ln \left(\frac{x}{25}\right)\right)\right)-4800 \,{\mathrm e}^{16} \expIntegralEi \left(1, -2 \ln \left(\frac{x}{25}\right)\right)-8000 \,{\mathrm e}^{16} \left(-\frac{x^{3}}{15625 \ln \left(\frac{x}{25}\right)}-3 \expIntegralEi \left(1, -3 \ln \left(\frac{x}{25}\right)\right)\right)-320 \,{\mathrm e}^{16} \expIntegralEi \left(1, -\ln \left(\frac{x}{25}\right)\right)-2400 \,{\mathrm e}^{16} \left(-\frac{x^{2}}{625 \ln \left(\frac{x}{25}\right)}-2 \expIntegralEi \left(1, -2 \ln \left(\frac{x}{25}\right)\right)\right)-320 \,{\mathrm e}^{16} \left(-\frac{x}{25 \ln \left(\frac{x}{25}\right)}-\expIntegralEi \left(1, -\ln \left(\frac{x}{25}\right)\right)\right)+\frac{16 \,{\mathrm e}^{16}}{\ln \left(\frac{x}{25}\right)}$&$180$\\ \hline \end{longtable}"," ",0,"16/625*exp(16)*(x^4+20*x^3+150*x^2+500*x+625)/ln(1/25*x)","A"
8696,1,26,26,0.138000," ","int(((27*x^3+27*x^2+270)*exp((x^3-5)/x^2)+45*x^2)/(9*x^4*exp((x^3-5)/x^2)^2+(-18*x^3*exp(1)+30*x^4)*exp((x^3-5)/x^2)+9*x^2*exp(1)^2-30*x^3*exp(1)+25*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{9}{-3 \,{\mathrm e}^{\frac{x^{3}-5}{x^{2}}} x +3 \,{\mathrm e}-5 x}$&$26$\\ risch&$\frac{9}{-3 \,{\mathrm e}^{\frac{x^{3}-5}{x^{2}}} x +3 \,{\mathrm e}-5 x}$&$26$\\ \hline \end{longtable}"," ",0,"9/(-3*exp((x^3-5)/x^2)*x+3*exp(1)-5*x)","A"
8697,1,39,18,0.033000," ","int((-12*x^2+2)*ln(2)+(12*x^2-2)*exp(9)+24*x^5-16*x^3+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(2\right) \left(-4 x^{3}+2 x \right)+{\mathrm e}^{9} \left(4 x^{3}-2 x \right)+4 x^{6}-4 x^{4}+x^{2}$&$39$\\ norman&$x^{2}+\left(-4 \ln \left(2\right)+4 \,{\mathrm e}^{9}\right) x^{3}+\left(2 \ln \left(2\right)-2 \,{\mathrm e}^{9}\right) x -4 x^{4}+4 x^{6}$&$39$\\ risch&$-4 x^{3} \ln \left(2\right)+2 x \ln \left(2\right)+4 x^{3} {\mathrm e}^{9}-2 x \,{\mathrm e}^{9}+4 x^{6}-4 x^{4}+x^{2}$&$39$\\ gosper&$-x \left(-4 x^{5}+4 x^{2} \ln \left(2\right)-4 x^{2} {\mathrm e}^{9}+4 x^{3}-2 \ln \left(2\right)+2 \,{\mathrm e}^{9}-x \right)$&$40$\\ \hline \end{longtable}"," ",0,"ln(2)*(-4*x^3+2*x)+exp(9)*(4*x^3-2*x)+4*x^6-4*x^4+x^2","B"
8698,1,45,31,0.062000," ","int((-3*exp(x)^2+(16*x^2-112*x+192)*exp(x)-16*x^4+192*x^3-768*x^2+1040*x+80)/(exp(x)^2+(-8*x^2+64*x-128)*exp(x)+16*x^4-256*x^3+1536*x^2-4112*x+4032),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\ln \left({\mathrm e}^{2 x}+\left(-8 x^{2}+64 x -128\right) {\mathrm e}^{x}+16 x^{4}-256 x^{3}+1536 x^{2}-4112 x +4032\right)$&$45$\\ norman&$-x -\ln \left(16 x^{4}-8 \,{\mathrm e}^{x} x^{2}-256 x^{3}+{\mathrm e}^{2 x}+64 \,{\mathrm e}^{x} x +1536 x^{2}-128 \,{\mathrm e}^{x}-4112 x +4032\right)$&$48$\\ \hline \end{longtable}"," ",0,"-x-ln(exp(2*x)+(-8*x^2+64*x-128)*exp(x)+16*x^4-256*x^3+1536*x^2-4112*x+4032)","A"
8699,1,9,14,0.016000," ","int(58/25*x+3/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(58 x +75\right)}{50}$&$9$\\ default&$\frac{29}{25} x^{2}+\frac{3}{2} x$&$10$\\ norman&$\frac{29}{25} x^{2}+\frac{3}{2} x$&$10$\\ risch&$\frac{29}{25} x^{2}+\frac{3}{2} x$&$10$\\ \hline \end{longtable}"," ",0,"1/50*x*(58*x+75)","A"
8700,1,20,17,0.036000," ","int((2*x^4+3*x^2)*exp(x^2)-9*x^2-50*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{3} {\mathrm e}^{x^{2}}-25 x^{2}-3 x^{3}$&$20$\\ norman&$x^{3} {\mathrm e}^{x^{2}}-25 x^{2}-3 x^{3}$&$20$\\ risch&$x^{3} {\mathrm e}^{x^{2}}-25 x^{2}-3 x^{3}$&$20$\\ \hline \end{longtable}"," ",0,"x^3*exp(x^2)-25*x^2-3*x^3","A"
8701,1,29,25,0.046000," ","int((16*x^2*exp(x)^4+160*x^3*exp(x)^3+(600*x^4+80*x^2+80*x)*exp(x)^2+(1000*x^5+200*x^3+600*x^2)*exp(x)+625*x^6+1000*x^3)/(16*x^2*exp(x)^4+160*x^3*exp(x)^3+(600*x^4+80*x)*exp(x)^2+(1000*x^5+400*x^2)*exp(x)+625*x^6+500*x^3+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{10 x}{4 x \,{\mathrm e}^{2 x}+20 \,{\mathrm e}^{x} x^{2}+25 x^{3}+10}$&$29$\\ \hline \end{longtable}"," ",0,"x-10*x/(4*x*exp(2*x)+20*exp(x)*x^2+25*x^3+10)","A"
8702,1,16,18,0.452000," ","int(((2*x^2+12*x+18)*exp(x)^2+3*x^2+18*x+36)/(x^2+6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{9}{3+x}+3 x +{\mathrm e}^{2 x}$&$16$\\ risch&$-\frac{9}{3+x}+3 x +{\mathrm e}^{2 x}$&$16$\\ norman&$\frac{x \,{\mathrm e}^{2 x}+3 x^{2}+3 \,{\mathrm e}^{2 x}-36}{3+x}$&$26$\\ \hline \end{longtable}"," ",0,"-9/(3+x)+3*x+exp(x)^2","A"
8703,1,36,21,0.834000," ","int((((6*x^3-16*x^2+16*x-10)*exp(x)+15*x^2-15*x+15)*ln(-x^2+x-1)+(12*x^2-38*x+16)*exp(x)+30*x^2-95*x+40)/(x^2-x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(6 \,{\mathrm e}^{x} x +15 x -16 \,{\mathrm e}^{x}\right) \ln \left(-x^{2}+x -1\right)-40 \ln \left(x^{2}-x +1\right)$&$36$\\ default&$-16 \,{\mathrm e}^{x} \ln \left(-x^{2}+x -1\right)+6 \,{\mathrm e}^{x} \ln \left(-x^{2}+x -1\right) x -40 \ln \left(x^{2}-x +1\right)+15 \ln \left(-x^{2}+x -1\right) x$&$52$\\ norman&$-16 \,{\mathrm e}^{x} \ln \left(-x^{2}+x -1\right)+6 \,{\mathrm e}^{x} \ln \left(-x^{2}+x -1\right) x -40 \ln \left(x^{2}-x +1\right)+15 \ln \left(-x^{2}+x -1\right) x$&$52$\\ \hline \end{longtable}"," ",0,"(6*exp(x)*x+15*x-16*exp(x))*ln(-x^2+x-1)-40*ln(x^2-x+1)","A"
8704,1,20,27,0.088000," ","int((5*x^2*exp(1/2*x)-20*x^3+10*x)/exp(exp(4)-4)/exp(ln(x)-exp(1/2*x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$10 x \,{\mathrm e}^{4-{\mathrm e}^{4}+{\mathrm e}^{\frac{x}{2}}-x^{2}}$&$20$\\ \hline \end{longtable}"," ",0,"10*x*exp(4-exp(4)+exp(1/2*x)-x^2)","A"
8705,1,9,21,0.013000," ","int(13/2*x+7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(13 x +28\right)}{4}$&$9$\\ default&$\frac{13}{4} x^{2}+7 x$&$10$\\ norman&$\frac{13}{4} x^{2}+7 x$&$10$\\ risch&$\frac{13}{4} x^{2}+7 x$&$10$\\ \hline \end{longtable}"," ",0,"1/4*x*(13*x+28)","A"
8706,1,6,11,0.017000," ","int(1/2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{2}}{4}$&$6$\\ default&$\frac{x^{2}}{4}$&$6$\\ norman&$\frac{x^{2}}{4}$&$6$\\ risch&$\frac{x^{2}}{4}$&$6$\\ \hline \end{longtable}"," ",0,"1/4*x^2","A"
8707,1,76,27,10.022000," ","int(((4*x*ln(2)^3+(12*x^2-26*x)*ln(2)^2+(12*x^3-56*x^2+56*x)*ln(2)+4*x^4-30*x^3+66*x^2-40*x-1)*exp(ln(2)^4+(4*x-8)*ln(2)^3+(6*x^2-26*x+24)*ln(2)^2+(4*x^3-28*x^2+56*x-32)*ln(2)+x^4-10*x^3+33*x^2-40*x+16)+x^2+1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-1+x^{2}+{\mathrm e}^{\ln \left(2\right)^{4}+\left(4 x -8\right) \ln \left(2\right)^{3}+\left(6 x^{2}-26 x +24\right) \ln \left(2\right)^{2}+\left(4 x^{3}-28 x^{2}+56 x -32\right) \ln \left(2\right)+x^{4}-10 x^{3}+33 x^{2}-40 x +16}}{x}$&$76$\\ risch&$x -\frac{1}{x}+\frac{16^{\left(x -1\right) \left(x -2\right) \left(x -4\right)} {\mathrm e}^{\ln \left(2\right)^{4}+4 x \ln \left(2\right)^{3}+6 x^{2} \ln \left(2\right)^{2}+x^{4}-8 \ln \left(2\right)^{3}-26 x \ln \left(2\right)^{2}-10 x^{3}+24 \ln \left(2\right)^{2}+33 x^{2}-40 x +16}}{x}$&$82$\\ \hline \end{longtable}"," ",0,"(-1+x^2+exp(ln(2)^4+(4*x-8)*ln(2)^3+(6*x^2-26*x+24)*ln(2)^2+(4*x^3-28*x^2+56*x-32)*ln(2)+x^4-10*x^3+33*x^2-40*x+16))/x","B"
8708,1,20,19,0.056000," ","int((-8*exp(4/ln(5)/exp(x)^2)+2*x*ln(5)*exp(x)^2*ln(ln(2)))/ln(5)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{4 \,{\mathrm e}^{-2 x}}{\ln \left(5\right)}}+x^{2} \ln \left(\ln \left(2\right)\right)$&$20$\\ default&$\frac{x^{2} \ln \left(5\right) \ln \left(\ln \left(2\right)\right)+{\mathrm e}^{\frac{4 \,{\mathrm e}^{-2 x}}{\ln \left(5\right)}} \ln \left(5\right)}{\ln \left(5\right)}$&$34$\\ norman&$\left({\mathrm e}^{2 x} {\mathrm e}^{\frac{4 \,{\mathrm e}^{-2 x}}{\ln \left(5\right)}}+x^{2} \ln \left(\ln \left(2\right)\right) {\mathrm e}^{2 x}\right) {\mathrm e}^{-2 x}$&$34$\\ \hline \end{longtable}"," ",0,"exp(4/ln(5)*exp(-2*x))+x^2*ln(ln(2))","A"
8709,1,35,17,0.047000," ","int(1/9*(-25*ln(14/3*x)^4+100*ln(14/3*x)^3-120*ln(14/3*x)^2+(60*x+240)*ln(14/3*x)+9*x^2-144)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16+x^{2}+\frac{40 \ln \left(\frac{14 x}{3}\right)^{2}}{3}+\frac{25 \ln \left(\frac{14 x}{3}\right)^{4}}{9}+\frac{10 x \ln \left(\frac{14 x}{3}\right)^{2}}{3}}{x}$&$35$\\ risch&$\frac{25 \ln \left(\frac{14 x}{3}\right)^{4}}{9 x}+\frac{10 \left(4+x \right) \ln \left(\frac{14 x}{3}\right)^{2}}{3 x}+\frac{x^{2}+16}{x}$&$36$\\ derivativedivides&$\frac{25 \ln \left(\frac{14 x}{3}\right)^{4}}{9 x}+\frac{40 \ln \left(\frac{14 x}{3}\right)^{2}}{3 x}+\frac{16}{x}+\frac{10 \ln \left(\frac{14 x}{3}\right)^{2}}{3}+x$&$38$\\ default&$\frac{25 \ln \left(\frac{14 x}{3}\right)^{4}}{9 x}+\frac{40 \ln \left(\frac{14 x}{3}\right)^{2}}{3 x}+\frac{16}{x}+\frac{10 \ln \left(\frac{14 x}{3}\right)^{2}}{3}+x$&$38$\\ \hline \end{longtable}"," ",0,"(16+x^2+40/3*ln(14/3*x)^2+25/9*ln(14/3*x)^4+10/3*x*ln(14/3*x)^2)/x","A"
8710,1,28,24,0.109000," ","int((-144*x*ln(x)^2+(288*x^3+360*x^2+1104*x)*ln(x)+(-96*x^2-60*x+48)*exp(5)-144*x^5-360*x^4-1425*x^3-1728*x^2-2244*x+144)/(16*x*ln(x)^2+(-32*x^3-40*x^2-128*x)*ln(x)+16*x^5+40*x^4+153*x^3+160*x^2+256*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-9 x +\frac{12 \,{\mathrm e}^{5}+36+12 x}{4 x^{2}+5 x -4 \ln \left(x \right)+16}$&$28$\\ norman&$\frac{-\frac{303 x}{4}-45 \ln \left(x \right)+36 x \ln \left(x \right)-36 x^{3}+216+12 \,{\mathrm e}^{5}}{4 x^{2}+5 x -4 \ln \left(x \right)+16}$&$41$\\ \hline \end{longtable}"," ",0,"-9*x+12*(exp(5)+3+x)/(4*x^2+5*x-4*ln(x)+16)","A"
8711,1,22,21,0.470000," ","int(((20*x^2-32*x+20)*exp(2)+5*x+66)*exp(5/4*x)^2/((128*x^6+384*x^4+384*x^2+128)*exp(2)^3+(96*x^5+1344*x^4+192*x^3+2688*x^2+96*x+1344)*exp(2)^2+(24*x^4+672*x^3+4728*x^2+672*x+4704)*exp(2)+2*x^3+84*x^2+1176*x+5488),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{5 x}{2}}}{\left(4 x^{2} {\mathrm e}^{2}+4 \,{\mathrm e}^{2}+x +14\right)^{2}}$&$22$\\ norman&$\frac{{\mathrm e}^{\frac{5 x}{2}}}{\left(4 x^{2} {\mathrm e}^{2}+4 \,{\mathrm e}^{2}+x +14\right)^{2}}$&$24$\\ gosper&$\frac{{\mathrm e}^{\frac{5 x}{2}}}{16 x^{4} {\mathrm e}^{4}+32 x^{2} {\mathrm e}^{4}+8 x^{3} {\mathrm e}^{2}+112 x^{2} {\mathrm e}^{2}+16 \,{\mathrm e}^{4}+8 \,{\mathrm e}^{2} x +x^{2}+112 \,{\mathrm e}^{2}+28 x +196}$&$65$\\ derivativedivides&$\text{Expression too large to display}$&$6102$\\ default&$\text{Expression too large to display}$&$6102$\\ \hline \end{longtable}"," ",0,"exp(5/2*x)/(4*x^2*exp(2)+4*exp(2)+x+14)^2","A"
8712,1,19,25,0.117000," ","int((exp(ln(3)-2)^2+(-4*x^2+18*x+2)*exp(ln(3)-2)+4*x^4-36*x^3+85*x^2)/(exp(ln(3)-2)^2+(-4*x^2+18*x)*exp(ln(3)-2)+4*x^4-36*x^3+81*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{2 x}{3 \left(-\frac{2 x^{2}}{3}+{\mathrm e}^{-2}+3 x \right)}$&$19$\\ gosper&$\frac{-4 x^{3}+2 \,{\mathrm e}^{\ln \left(3\right)-2} x +9 \,{\mathrm e}^{\ln \left(3\right)-2}+85 x}{-4 x^{2}+2 \,{\mathrm e}^{\ln \left(3\right)-2}+18 x}$&$43$\\ norman&$\frac{\left(-\frac{{\mathrm e}^{2} \left(85 \,{\mathrm e}^{2}+6\right) x}{2}+2 x^{3} {\mathrm e}^{4}-\frac{27 \,{\mathrm e}^{2}}{2}\right) {\mathrm e}^{-2}}{2 x^{2} {\mathrm e}^{2}-9 \,{\mathrm e}^{2} x -3}$&$47$\\ \hline \end{longtable}"," ",0,"x+2/3*x/(-2/3*x^2+exp(-2)+3*x)","A"
8713,1,30,24,0.040000," ","int((x^2-3*x-5)*exp(x)+(x^2-7*x+5)*exp(-ln(2)-x+1/5)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}-5 x \right) {\mathrm e}^{x}+\frac{\left(-x^{2}+5 x \right) {\mathrm e}^{-x +\frac{1}{5}}}{2}+x$&$30$\\ norman&$\left({\mathrm e}^{x} x +{\mathrm e}^{2 x} x^{2}+\frac{5 x \,{\mathrm e}^{\frac{1}{5}}}{2}-5 x \,{\mathrm e}^{2 x}-\frac{x^{2} {\mathrm e}^{\frac{1}{5}}}{2}\right) {\mathrm e}^{-x}$&$38$\\ default&$x -\frac{23 \,{\mathrm e}^{-\ln \left(2\right)-x +\frac{1}{5}} \left(-\ln \left(2\right)-x +\frac{1}{5}\right)}{5}+\frac{24 \,{\mathrm e}^{-\ln \left(2\right)-x +\frac{1}{5}}}{25}-{\mathrm e}^{-\ln \left(2\right)-x +\frac{1}{5}} \left(-\ln \left(2\right)-x +\frac{1}{5}\right)^{2}-\frac{23 \ln \left(2\right) {\mathrm e}^{-\ln \left(2\right)-x +\frac{1}{5}}}{5}-\ln \left(2\right)^{2} {\mathrm e}^{-\ln \left(2\right)-x +\frac{1}{5}}-2 \,{\mathrm e}^{-\ln \left(2\right)-x +\frac{1}{5}} \left(-\ln \left(2\right)-x +\frac{1}{5}\right) \ln \left(2\right)+{\mathrm e}^{x} x^{2}-5 \,{\mathrm e}^{x} x$&$123$\\ \hline \end{longtable}"," ",0,"(x^2-5*x)*exp(x)+1/2*(-x^2+5*x)*exp(-x+1/5)+x","A"
8714,0,0,27,0.011000," ","int((-16*x+12)/((x^2-x)*ln(1/9*(x^4-x^3)/ln(2*ln(2)))*ln(ln(1/9*(x^4-x^3)/ln(2*ln(2))))^2+(2*x^2-2*x)*ln(1/9*(x^4-x^3)/ln(2*ln(2)))*ln(ln(1/9*(x^4-x^3)/ln(2*ln(2))))+(x^2-x)*ln(1/9*(x^4-x^3)/ln(2*ln(2)))),x)","\[\int \frac{-16 x +12}{\left(x^{2}-x \right) \ln \left(\frac{x^{4}-x^{3}}{9 \ln \left(2 \ln \left(2\right)\right)}\right) \ln \left(\ln \left(\frac{x^{4}-x^{3}}{9 \ln \left(2 \ln \left(2\right)\right)}\right)\right)^{2}+\left(2 x^{2}-2 x \right) \ln \left(\frac{x^{4}-x^{3}}{9 \ln \left(2 \ln \left(2\right)\right)}\right) \ln \left(\ln \left(\frac{x^{4}-x^{3}}{9 \ln \left(2 \ln \left(2\right)\right)}\right)\right)+\left(x^{2}-x \right) \ln \left(\frac{x^{4}-x^{3}}{9 \ln \left(2 \ln \left(2\right)\right)}\right)}\, dx\]"," ",0,"int((-16*x+12)/((x^2-x)*ln(1/9*(x^4-x^3)/ln(2*ln(2)))*ln(ln(1/9*(x^4-x^3)/ln(2*ln(2))))^2+(2*x^2-2*x)*ln(1/9*(x^4-x^3)/ln(2*ln(2)))*ln(ln(1/9*(x^4-x^3)/ln(2*ln(2))))+(x^2-x)*ln(1/9*(x^4-x^3)/ln(2*ln(2)))),x)","F"
8715,1,89,26,0.062000," ","int(((1280*x-256)*ln(5*x)*ln(ln(5*x))^4+((6400*x^2-6400*x+768)*ln(5*x)-1024)*ln(ln(5*x))^3+((12000*x^3-21600*x^2+10080*x-864)*ln(5*x)-3840*x+2304)*ln(ln(5*x))^2+((10000*x^4-26000*x^3+21600*x^2-6480*x+432)*ln(5*x)-4800*x^2+5760*x-1728)*ln(ln(5*x))+(3125*x^5-10625*x^4+12750*x^3-6755*x^2+1487*x-81)*ln(5*x)-2000*x^3+3600*x^2-2160*x+432)/(1280*x*ln(5*x)*ln(ln(5*x))^4+(6400*x^2-3840*x)*ln(5*x)*ln(ln(5*x))^3+(12000*x^3-14400*x^2+4320*x)*ln(5*x)*ln(ln(5*x))^2+(10000*x^4-18000*x^3+10800*x^2-2160*x)*ln(5*x)*ln(ln(5*x))+(3125*x^5-7500*x^4+6750*x^3-2705*x^2+405*x)*ln(5*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{\ln \left(x \right)}{5}-\frac{\ln \left(\ln \left(\ln \left(5 x \right)\right)^{4}+\left(5 x -3\right) \ln \left(\ln \left(5 x \right)\right)^{3}+\left(\frac{75}{8} x^{2}-\frac{45}{4} x +\frac{27}{8}\right) \ln \left(\ln \left(5 x \right)\right)^{2}+\left(\frac{125}{16} x^{3}-\frac{225}{16} x^{2}+\frac{135}{16} x -\frac{27}{16}\right) \ln \left(\ln \left(5 x \right)\right)+\frac{625 x^{4}}{256}-\frac{375 x^{3}}{64}+\frac{675 x^{2}}{128}-\frac{541 x}{256}+\frac{81}{256}\right)}{5}$&$89$\\ \hline \end{longtable}"," ",0,"x-1/5*ln(x)-1/5*ln(ln(ln(5*x))^4+(5*x-3)*ln(ln(5*x))^3+(75/8*x^2-45/4*x+27/8)*ln(ln(5*x))^2+(125/16*x^3-225/16*x^2+135/16*x-27/16)*ln(ln(5*x))+625/256*x^4-375/64*x^3+675/128*x^2-541/256*x+81/256)","B"
8716,1,870,27,0.616000," ","int((((8*x^4+32*x^3+24*x^2-16*x)*exp(4*x)-2*x^3-8*x^2-6*x+4)*ln((4*x^2+8*x-4)/(2+x))^2+((2*x^3+8*x^2+10*x)*ln(x)+(-2*x^3-8*x^2-10*x)*exp(4*x)-6*x^3-24*x^2-30*x)*ln((4*x^2+8*x-4)/(2+x)))/((x^4+4*x^3+3*x^2-2*x)*ln(x)^3+((-3*x^4-12*x^3-9*x^2+6*x)*exp(4*x)-9*x^4-36*x^3-27*x^2+18*x)*ln(x)^2+((3*x^4+12*x^3+9*x^2-6*x)*exp(4*x)^2+(18*x^4+72*x^3+54*x^2-36*x)*exp(4*x)+27*x^4+108*x^3+81*x^2-54*x)*ln(x)+(-x^4-4*x^3-3*x^2+2*x)*exp(4*x)^3+(-9*x^4-36*x^3-27*x^2+18*x)*exp(4*x)^2+(-27*x^4-108*x^3-81*x^2+54*x)*exp(4*x)-27*x^4-108*x^3-81*x^2+54*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x^{2}+2 x -1\right)^{2}}{\left(3+{\mathrm e}^{4 x}-\ln \left(x \right)\right)^{2}}+\frac{\left(i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+2 x -1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(x^{2}+2 x -1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right) \mathrm{csgn}\left(\frac{i}{2+x}\right)+i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{2+x}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{3}+4 \ln \left(2\right)-2 \ln \left(2+x \right)\right) \ln \left(x^{2}+2 x -1\right)}{\left(3+{\mathrm e}^{4 x}-\ln \left(x \right)\right)^{2}}+\frac{16 \ln \left(2\right)^{2}+4 \ln \left(2+x \right)^{2}-\pi^{2} \mathrm{csgn}\left(i \left(x^{2}+2 x -1\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{2+x}\right)^{2}-16 \ln \left(2\right) \ln \left(2+x \right)+4 i \ln \left(2+x \right) \pi  \,\mathrm{csgn}\left(i \left(x^{2}+2 x -1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right) \mathrm{csgn}\left(\frac{i}{2+x}\right)+8 i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(i \left(x^{2}+2 x -1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i \left(x^{2}+2 x -1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{3} \mathrm{csgn}\left(\frac{i}{2+x}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i \left(x^{2}+2 x -1\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{3} \mathrm{csgn}\left(\frac{i}{2+x}\right)-4 \pi^{2} \mathrm{csgn}\left(i \left(x^{2}+2 x -1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{4} \mathrm{csgn}\left(\frac{i}{2+x}\right)-8 i \ln \left(2\right) \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{3}+8 i \ln \left(2\right) \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{2+x}\right)-8 i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(i \left(x^{2}+2 x -1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right) \mathrm{csgn}\left(\frac{i}{2+x}\right)-4 i \ln \left(2+x \right) \pi  \,\mathrm{csgn}\left(i \left(x^{2}+2 x -1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{2}+4 i \ln \left(2+x \right) \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{3}-4 i \ln \left(2+x \right) \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{2+x}\right)+2 \pi^{2} \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{5} \mathrm{csgn}\left(\frac{i}{2+x}\right)-\pi^{2} \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{6}-\pi^{2} \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{4} \mathrm{csgn}\left(\frac{i}{2+x}\right)^{2}-\pi^{2} \mathrm{csgn}\left(i \left(x^{2}+2 x -1\right)\right)^{2} \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i \left(x^{2}+2 x -1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+2 x -1\right)}{2+x}\right)^{5}}{4 \left(3+{\mathrm e}^{4 x}-\ln \left(x \right)\right)^{2}}$&$870$\\ \hline \end{longtable}"," ",0,"1/(3+exp(4*x)-ln(x))^2*ln(x^2+2*x-1)^2+(I*Pi*csgn(I*(x^2+2*x-1))*csgn(I/(2+x)*(x^2+2*x-1))^2-I*Pi*csgn(I*(x^2+2*x-1))*csgn(I/(2+x)*(x^2+2*x-1))*csgn(I/(2+x))+I*Pi*csgn(I/(2+x)*(x^2+2*x-1))^2*csgn(I/(2+x))-I*Pi*csgn(I/(2+x)*(x^2+2*x-1))^3+4*ln(2)-2*ln(2+x))/(3+exp(4*x)-ln(x))^2*ln(x^2+2*x-1)+1/4*(16*ln(2)^2+4*ln(2+x)^2-Pi^2*csgn(I*(x^2+2*x-1))^2*csgn(I/(2+x)*(x^2+2*x-1))^2*csgn(I/(2+x))^2-16*ln(2)*ln(2+x)+4*I*ln(2+x)*Pi*csgn(I*(x^2+2*x-1))*csgn(I/(2+x)*(x^2+2*x-1))*csgn(I/(2+x))+8*I*ln(2)*Pi*csgn(I*(x^2+2*x-1))*csgn(I/(2+x)*(x^2+2*x-1))^2+2*Pi^2*csgn(I*(x^2+2*x-1))*csgn(I/(2+x)*(x^2+2*x-1))^3*csgn(I/(2+x))^2+2*Pi^2*csgn(I*(x^2+2*x-1))^2*csgn(I/(2+x)*(x^2+2*x-1))^3*csgn(I/(2+x))-4*Pi^2*csgn(I*(x^2+2*x-1))*csgn(I/(2+x)*(x^2+2*x-1))^4*csgn(I/(2+x))-8*I*ln(2)*Pi*csgn(I/(2+x)*(x^2+2*x-1))^3+8*I*ln(2)*Pi*csgn(I/(2+x)*(x^2+2*x-1))^2*csgn(I/(2+x))-8*I*ln(2)*Pi*csgn(I*(x^2+2*x-1))*csgn(I/(2+x)*(x^2+2*x-1))*csgn(I/(2+x))-4*I*ln(2+x)*Pi*csgn(I*(x^2+2*x-1))*csgn(I/(2+x)*(x^2+2*x-1))^2+4*I*ln(2+x)*Pi*csgn(I/(2+x)*(x^2+2*x-1))^3-4*I*ln(2+x)*Pi*csgn(I/(2+x)*(x^2+2*x-1))^2*csgn(I/(2+x))+2*Pi^2*csgn(I/(2+x)*(x^2+2*x-1))^5*csgn(I/(2+x))-Pi^2*csgn(I/(2+x)*(x^2+2*x-1))^6-Pi^2*csgn(I/(2+x)*(x^2+2*x-1))^4*csgn(I/(2+x))^2-Pi^2*csgn(I*(x^2+2*x-1))^2*csgn(I/(2+x)*(x^2+2*x-1))^4+2*Pi^2*csgn(I*(x^2+2*x-1))*csgn(I/(2+x)*(x^2+2*x-1))^5)/(3+exp(4*x)-ln(x))^2","C"
8717,1,28,22,0.034000," ","int(((-20000*x^5-40000*x^4+900*x^2-1800*x)*ln(5*x)+20000*x^4+20000*x^3-900*x)*exp(100*x^2*ln(5*x)/(200*x^3+200*x^2-9)/exp(x))/(40000*x^6+80000*x^5+40000*x^4-3600*x^3-3600*x^2+81)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(5 x \right)^{\frac{100 x^{2} {\mathrm e}^{-x}}{200 x^{3}+200 x^{2}-9}}$&$28$\\ \hline \end{longtable}"," ",0,"(5*x)^(100*x^2/(200*x^3+200*x^2-9)*exp(-x))","A"
8718,1,158,32,0.086000," ","int(((2*x^2-5*x-4)*ln(x)*ln(ln(x)/x^2)+(-2*x^4+5*x^3+14*x^2+10)*ln(x)-5)/(5*x*ln(x)*ln(ln(x)/x^2)-5*x^3*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{5}-x -\frac{4 \ln \left(x \right)}{5}-\ln \left(\ln \left(\ln \left(x \right)\right)+\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x^{2}}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right)-\pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x^{2}}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)+2 i x^{2}+4 i \ln \left(x \right)\right)}{2}\right)$&$158$\\ \hline \end{longtable}"," ",0,"1/5*x^2-x-4/5*ln(x)-ln(ln(ln(x))+1/2*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*ln(x))*csgn(I/x^2*ln(x))^2-Pi*csgn(I*ln(x))*csgn(I/x^2*ln(x))*csgn(I/x^2)-Pi*csgn(I/x^2*ln(x))^3+Pi*csgn(I/x^2*ln(x))^2*csgn(I/x^2)+2*I*x^2+4*I*ln(x)))","C"
8719,1,23,27,0.074000," ","int(((-81*x^2+306*x-72)*exp(9/16*x^2-9/4*x+9/4)+16*x-8)/(72*x*exp(9/16*x^2-9/4*x+9/4)+8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\ln \left(x \right)+\frac{9}{4}-\ln \left({\mathrm e}^{\frac{9 \left(x -2\right)^{2}}{16}}+\frac{1}{9}\right)$&$23$\\ norman&$2 x -\ln \left(x \right)-\ln \left(9 \,{\mathrm e}^{\frac{9}{16} x^{2}-\frac{9}{4} x +\frac{9}{4}}+1\right)$&$27$\\ \hline \end{longtable}"," ",0,"2*x-ln(x)+9/4-ln(exp(9/16*(x-2)^2)+1/9)","A"
8720,1,25,26,0.167000," ","int((-4*x^4-8*x^3+20*x-64)*exp((-x^4-4*x^3+x^2-10*x+16)/x^2)^2/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 \left(x^{4}+4 x^{3}-x^{2}+10 x -16\right)}{x^{2}}}$&$25$\\ norman&${\mathrm e}^{\frac{-2 x^{4}-8 x^{3}+2 x^{2}-20 x +32}{x^{2}}}$&$26$\\ gosper&${\mathrm e}^{-\frac{2 \left(x^{4}+4 x^{3}-x^{2}+10 x -16\right)}{x^{2}}}$&$27$\\ \hline \end{longtable}"," ",0,"exp(-2*(x^4+4*x^3-x^2+10*x-16)/x^2)","A"
8721,1,100,22,0.416000," ","int(((exp(x)*x+3*x)*ln(x)*exp(exp(x)+3*x+5)*ln(ln(x)^2)+2*exp(exp(x)+3*x+5)+(x-2)*ln(x))*exp(exp(exp(x)+3*x+5)*ln(ln(x)^2)+4+x)/x^3/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{2 \,{\mathrm e}^{{\mathrm e}^{x}+3 x +5}} {\mathrm e}^{4-\frac{i {\mathrm e}^{{\mathrm e}^{x}+3 x +5} \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}}{2}+i {\mathrm e}^{{\mathrm e}^{x}+3 x +5} \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)-\frac{i {\mathrm e}^{{\mathrm e}^{x}+3 x +5} \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2}}{2}+x}}{x^{2}}$&$100$\\ \hline \end{longtable}"," ",0,"1/x^2*ln(x)^(2*exp(exp(x)+3*x+5))*exp(4-1/2*I*exp(exp(x)+3*x+5)*Pi*csgn(I*ln(x)^2)^3+I*exp(exp(x)+3*x+5)*Pi*csgn(I*ln(x)^2)^2*csgn(I*ln(x))-1/2*I*exp(exp(x)+3*x+5)*Pi*csgn(I*ln(x)^2)*csgn(I*ln(x))^2+x)","C"
8722,1,8,9,0.018000," ","int(-2*exp(3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 \,{\mathrm e}^{3}}{x}$&$8$\\ default&$\frac{2 \,{\mathrm e}^{3}}{x}$&$8$\\ norman&$\frac{2 \,{\mathrm e}^{3}}{x}$&$8$\\ risch&$\frac{2 \,{\mathrm e}^{3}}{x}$&$8$\\ \hline \end{longtable}"," ",0,"2*exp(3)/x","A"
8723,1,33,28,0.078000," ","int((2*(-10*x^4-25*x^3)*ln(2)+30*x-16)/(2*(5*x^5+25*x^4)*ln(2)-25*x^3+30*x^2-8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x \right)-\ln \left(10 x^{4} \ln \left(2\right)+50 x^{3} \ln \left(2\right)-25 x^{2}+30 x -8\right)$&$33$\\ norman&$2 \ln \left(x \right)-\ln \left(10 x^{4} \ln \left(2\right)+50 x^{3} \ln \left(2\right)-25 x^{2}+30 x -8\right)$&$33$\\ risch&$2 \ln \left(-x \right)-\ln \left(10 x^{4} \ln \left(2\right)+50 x^{3} \ln \left(2\right)-25 x^{2}+30 x -8\right)$&$35$\\ \hline \end{longtable}"," ",0,"2*ln(x)-ln(10*x^4*ln(2)+50*x^3*ln(2)-25*x^2+30*x-8)","A"
8724,1,14,14,0.424000," ","int((x^2+1)/(2*x^3-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right)}{2}+\frac{\ln \left(x^{2}-1\right)}{2}$&$14$\\ default&$-\frac{\ln \left(x \right)}{2}+\frac{\ln \left(x -1\right)}{2}+\frac{\ln \left(x +1\right)}{2}$&$18$\\ norman&$-\frac{\ln \left(x \right)}{2}+\frac{\ln \left(x -1\right)}{2}+\frac{\ln \left(x +1\right)}{2}$&$18$\\ meijerg&$-\frac{\ln \left(x \right)}{2}-\frac{i \pi}{4}+\frac{\ln \left(-x^{2}+1\right)}{2}$&$20$\\ \hline \end{longtable}"," ",0,"-1/2*ln(x)+1/2*ln(x^2-1)","A"
8725,1,76,26,0.087000," ","int(((16384*x^6+9216*x^5+1728*x^4+108*x^3)*ln(3)^2+(-32768*x^6+6144*x^5+25728*x^4+11112*x^3+1836*x^2+108*x)*ln(3)+16384*x^6-15360*x^5-19264*x^4+1068*x^3+3348*x^2+684*x+36)/(4096*x^3+2304*x^2+432*x+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{4} \ln \left(3\right)^{2}-2 x^{4} \ln \left(3\right)+x^{4}+2 x^{3} \ln \left(3\right)-2 x^{3}+\frac{15 x^{2} \ln \left(3\right)}{8}-\frac{7 x^{2}}{8}+\frac{3 x \ln \left(3\right)}{128}+\frac{237 x}{128}+\frac{9}{256 \left(16 x +3\right)^{2}}-\frac{4 \left(-\frac{27 \ln \left(3\right)}{8192}-\frac{549}{8192}\right)}{16 x +3}$&$76$\\ risch&$x^{4} \ln \left(3\right)^{2}-2 x^{4} \ln \left(3\right)+2 x^{3} \ln \left(3\right)+x^{4}+\frac{15 x^{2} \ln \left(3\right)}{8}-2 x^{3}+\frac{3 x \ln \left(3\right)}{128}-\frac{7 x^{2}}{8}+\frac{237 x}{128}+\frac{\frac{\left(\frac{549}{256}+\frac{27 \ln \left(3\right)}{256}\right) x}{128}+\frac{1719}{524288}+\frac{81 \ln \left(3\right)}{524288}}{x^{2}+\frac{3}{8} x +\frac{9}{256}}$&$78$\\ norman&$\frac{\left(372+204 \ln \left(3\right)\right) x^{3}+12 x +\left(-416+96 \ln \left(3\right)^{2}+320 \ln \left(3\right)\right) x^{5}+\left(-407+654 \ln \left(3\right)+9 \ln \left(3\right)^{2}\right) x^{4}+\left(146+18 \ln \left(3\right)\right) x^{2}+\left(256 \ln \left(3\right)^{2}-512 \ln \left(3\right)+256\right) x^{6}}{\left(16 x +3\right)^{2}}$&$81$\\ gosper&$\frac{x \left(256 x^{5} \ln \left(3\right)^{2}+96 x^{4} \ln \left(3\right)^{2}-512 x^{5} \ln \left(3\right)+9 x^{3} \ln \left(3\right)^{2}+320 x^{4} \ln \left(3\right)+256 x^{5}+654 x^{3} \ln \left(3\right)-416 x^{4}+204 x^{2} \ln \left(3\right)-407 x^{3}+18 x \ln \left(3\right)+372 x^{2}+146 x +12\right)}{256 x^{2}+96 x +9}$&$100$\\ \hline \end{longtable}"," ",0,"x^4*ln(3)^2-2*x^4*ln(3)+x^4+2*x^3*ln(3)-2*x^3+15/8*x^2*ln(3)-7/8*x^2+3/128*x*ln(3)+237/128*x+9/256/(16*x+3)^2-4*(-27/8192*ln(3)-549/8192)/(16*x+3)","B"
8726,1,57,27,0.418000," ","int(((24*x^4+168*x^3-168*x^2-4338*x-10110)*ln(5-x)-60*x^5-162*x^4+2220*x^3+9528*x^2-17091*x-97071)/(5*x-25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{6}{5} x^{4}+\frac{96}{5} x^{3}+\frac{636}{5} x^{2}+\frac{2022}{5} x \right) \ln \left(5-x \right)-\frac{12 x^{5}}{5}-\frac{117 x^{4}}{5}-\frac{72 x^{3}}{5}+\frac{3906 x^{2}}{5}+\frac{19947 x}{5}+\frac{2664 \ln \left(x -5\right)}{5}$&$57$\\ norman&$\frac{2664 \ln \left(5-x \right)}{5}+\frac{19947 x}{5}+\frac{3906 x^{2}}{5}-\frac{72 x^{3}}{5}-\frac{117 x^{4}}{5}-\frac{12 x^{5}}{5}+\frac{2022 \ln \left(5-x \right) x}{5}+\frac{636 \ln \left(5-x \right) x^{2}}{5}+\frac{96 \ln \left(5-x \right) x^{3}}{5}+\frac{6 \ln \left(5-x \right) x^{4}}{5}$&$75$\\ derivativedivides&$\frac{6 \ln \left(5-x \right) \left(5-x \right)^{4}}{5}-\frac{417 \left(5-x \right)^{4}}{5}+\frac{12 \left(5-x \right)^{5}}{5}-\frac{216 \ln \left(5-x \right) \left(5-x \right)^{3}}{5}+\frac{5412 \left(5-x \right)^{3}}{5}+\frac{2976 \ln \left(5-x \right) \left(5-x \right)^{2}}{5}-\frac{29724 \left(5-x \right)^{2}}{5}-\frac{18582 \left(5-x \right) \ln \left(5-x \right)}{5}+42393-\frac{42393 x}{5}+\frac{44424 \ln \left(5-x \right)}{5}$&$108$\\ default&$\frac{6 \ln \left(5-x \right) \left(5-x \right)^{4}}{5}-\frac{417 \left(5-x \right)^{4}}{5}+\frac{12 \left(5-x \right)^{5}}{5}-\frac{216 \ln \left(5-x \right) \left(5-x \right)^{3}}{5}+\frac{5412 \left(5-x \right)^{3}}{5}+\frac{2976 \ln \left(5-x \right) \left(5-x \right)^{2}}{5}-\frac{29724 \left(5-x \right)^{2}}{5}-\frac{18582 \left(5-x \right) \ln \left(5-x \right)}{5}+42393-\frac{42393 x}{5}+\frac{44424 \ln \left(5-x \right)}{5}$&$108$\\ \hline \end{longtable}"," ",0,"(6/5*x^4+96/5*x^3+636/5*x^2+2022/5*x)*ln(5-x)-12/5*x^5-117/5*x^4-72/5*x^3+3906/5*x^2+19947/5*x+2664/5*ln(x-5)","B"
8727,1,35,29,0.123000," ","int(((-128*x^3+1776*x^2-7040*x+8400)*exp(-5/(x-5))^2+(224*x^4-2976*x^3+11840*x^2-14400*x)*exp(-5/(x-5))-96*x^5+1200*x^4-4800*x^3+6000*x^2)*exp((16*exp(-5/(x-5))^2-32*x*exp(-5/(x-5))+16*x^2)/(25*x^8-75*x^7))/(25*x^12-400*x^11+2350*x^10-6000*x^9+5625*x^8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-\frac{32 x \,{\mathrm e}^{-\frac{5}{x -5}}}{25}+\frac{16 x^{2}}{25}+\frac{16 \,{\mathrm e}^{-\frac{10}{x -5}}}{25}}{x^{7} \left(x -3\right)}}$&$35$\\ \hline \end{longtable}"," ",0,"exp(16/25*(-2*x*exp(-5/(x-5))+x^2+exp(-10/(x-5)))/x^7/(x-3))","A"
8728,1,18,22,0.142000," ","int((8*x+1)*exp(2)*exp(exp(2)/(12*x^2+3*x))/(48*x^4+24*x^3+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{\frac{{\mathrm e}^{2}}{3 x \left(4 x +1\right)}}$&$18$\\ risch&$-{\mathrm e}^{\frac{{\mathrm e}^{2}}{3 x \left(4 x +1\right)}}$&$18$\\ norman&$\frac{-x \,{\mathrm e}^{\frac{{\mathrm e}^{2}}{12 x^{2}+3 x}}-4 x^{2} {\mathrm e}^{\frac{{\mathrm e}^{2}}{12 x^{2}+3 x}}}{x \left(4 x +1\right)}$&$51$\\ \hline \end{longtable}"," ",0,"-exp(1/3*exp(2)/x/(4*x+1))","A"
8729,1,16,22,0.030000," ","int((-5*x^2+28*x-4)/(x^3-7*x^2+4*x-28),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(x^{2}+4\right)-\ln \left(x -7\right)$&$16$\\ norman&$-2 \ln \left(x^{2}+4\right)-\ln \left(x -7\right)$&$16$\\ risch&$-2 \ln \left(x^{2}+4\right)-\ln \left(x -7\right)$&$16$\\ \hline \end{longtable}"," ",0,"-2*ln(x^2+4)-ln(x-7)","A"
8730,1,30,26,0.140000," ","int((4*x^5+78*x^4+371*x^3-124*x^2-39*x-2)*exp((4*x^3+40*x^2+x)/(2*x^2+20*x+2))*exp(exp((4*x^3+40*x^2+x)/(2*x^2+20*x+2))/x)/(2*x^6+40*x^5+204*x^4+40*x^3+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{\frac{x \left(4 x^{2}+40 x +1\right)}{2 x^{2}+20 x +2}}}{x}}$&$30$\\ norman&$\frac{x \,{\mathrm e}^{\frac{{\mathrm e}^{\frac{4 x^{3}+40 x^{2}+x}{2 x^{2}+20 x +2}}}{x}}+x^{3} {\mathrm e}^{\frac{{\mathrm e}^{\frac{4 x^{3}+40 x^{2}+x}{2 x^{2}+20 x +2}}}{x}}+10 x^{2} {\mathrm e}^{\frac{{\mathrm e}^{\frac{4 x^{3}+40 x^{2}+x}{2 x^{2}+20 x +2}}}{x}}}{x \left(x^{2}+10 x +1\right)}$&$120$\\ \hline \end{longtable}"," ",0,"exp(exp(1/2*x*(4*x^2+40*x+1)/(x^2+10*x+1))/x)","A"
8731,1,17,17,0.068000," ","int(((2*x+2)*exp(5)*exp(x)+2*x+27)/(2*x*exp(5)*exp(x)+x^2+27*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(2 x \,{\mathrm e}^{5} {\mathrm e}^{x}+x^{2}+27 x +4\right)$&$17$\\ risch&$\ln \left(x \right)+\ln \left({\mathrm e}^{x}+\frac{\left(x^{2}+27 x +4\right) {\mathrm e}^{-5}}{2 x}\right)$&$23$\\ \hline \end{longtable}"," ",0,"ln(2*x*exp(5)*exp(x)+x^2+27*x+4)","A"
8732,1,37,28,0.023000," ","int(((-6*x^4+10*x^3-4*x^2+2*x)*ln(x)+12*x^6-32*x^5+4*x^4-3*x^3+2*x^2-x)/((x^2-2*x+1)*ln(x)^2+(-4*x^5-6*x^4+24*x^3-14*x^2)*ln(x)+4*x^8+20*x^7-3*x^6-70*x^5+49*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(2 x^{2}-x +1\right) x^{2}}{\left(x -1\right) \left(2 x^{3}+7 x^{2}-\ln \left(x \right)\right)}$&$37$\\ \hline \end{longtable}"," ",0,"(2*x^2-x+1)*x^2/(x-1)/(2*x^3+7*x^2-ln(x))","A"
8733,1,34,20,0.105000," ","int(1/2*((3*x-12)*ln(x-4)+2*(x^3-10*x^2+33*x-36)*ln(2)-x^2+9*x-24)/(x^3-10*x^2+33*x-36)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}-\frac{3 \left(3 \ln \left(2\right)+1\right)}{\ln \left(2\right)}-\frac{x \ln \left(x -4\right)}{2 \ln \left(2\right)}}{x -3}$&$34$\\ derivativedivides&$\frac{\frac{3 \ln \left(x -4\right) \left(x -4\right)}{x -3}-\frac{6}{x -3}-4 \ln \left(x -4\right)+2 \left(x -4\right) \ln \left(2\right)}{2 \ln \left(2\right)}$&$42$\\ default&$\frac{\frac{3 \ln \left(x -4\right) \left(x -4\right)}{x -3}-\frac{6}{x -3}-4 \ln \left(x -4\right)+2 \left(x -4\right) \ln \left(2\right)}{2 \ln \left(2\right)}$&$42$\\ risch&$-\frac{3 \ln \left(x -4\right)}{2 \ln \left(2\right) \left(x -3\right)}+\frac{2 x^{2} \ln \left(2\right)-6 x \ln \left(2\right)-x \ln \left(x -4\right)+3 \ln \left(x -4\right)-6}{2 \ln \left(2\right) \left(x -3\right)}$&$55$\\ \hline \end{longtable}"," ",0,"(x^2-3*(3*ln(2)+1)/ln(2)-1/2/ln(2)*x*ln(x-4))/(x-3)","A"
8734,1,49,31,0.416000," ","int(1/5*(((2*x^3+7*x^2+3)*exp(2)-6*x^3-20*x^2-9)*exp(((x^3+7*x^2-x-3)*exp(2)-3*x^3-20*x^2+3*x+9)/x)-5*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{{\mathrm e}^{\frac{x^{3} {\mathrm e}^{2}+7 x^{2} {\mathrm e}^{2}-3 x^{3}-{\mathrm e}^{2} x -20 x^{2}-3 \,{\mathrm e}^{2}+3 x +9}{x}}}{5}$&$49$\\ norman&$\frac{-x^{2}+\frac{x \,{\mathrm e}^{\frac{\left(x^{3}+7 x^{2}-x -3\right) {\mathrm e}^{2}-3 x^{3}-20 x^{2}+3 x +9}{x}}}{5}}{x}$&$50$\\ \hline \end{longtable}"," ",0,"-x+1/5*exp((x^3*exp(2)+7*x^2*exp(2)-3*x^3-exp(2)*x-20*x^2-3*exp(2)+3*x+9)/x)","A"
8735,1,133,21,0.066000," ","int((((256*x^4+1920*x^3+4800*x^2+4000*x)*ln(5)+320*x^5+2560*x^4+7200*x^3+8000*x^2+2500*x)*ln(x)^2+((128*x^4+1376*x^3+5440*x^2+9000*x+5000)*ln(5)+128*x^5+1408*x^4+5760*x^3+10000*x^2+6000*x)*ln(x)+(32*x^3+328*x^2+1040*x+1000)*ln(5)+32*x^4+332*x^3+1080*x^2+1100*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(64 x^{4} \ln \left(5\right)+64 x^{5}+640 x^{3} \ln \left(5\right)+640 x^{4}+2400 x^{2} \ln \left(5\right)+2400 x^{3}+4000 x \ln \left(5\right)+4000 x^{2}+2500 \ln \left(5\right)+2500 x \right) \ln \left(x \right)^{2}+\left(32 x^{3} \ln \left(5\right)+32 x^{4}+320 x^{2} \ln \left(5\right)+320 x^{3}+1000 x \ln \left(5\right)+1000 x^{2}+1000 x \right) \ln \left(x \right)+4 x^{2} \ln \left(5\right)+4 x^{3}+40 x \ln \left(5\right)+40 x^{2}+100 x +1000 \ln \left(5\right) \ln \left(x \right)$&$133$\\ norman&$\left(40+4 \ln \left(5\right)\right) x^{2}+\left(100+40 \ln \left(5\right)\right) x +1000 \ln \left(5\right) \ln \left(x \right)+\left(320+32 \ln \left(5\right)\right) x^{3} \ln \left(x \right)+\left(640+64 \ln \left(5\right)\right) x^{4} \ln \left(x \right)^{2}+\left(1000+320 \ln \left(5\right)\right) x^{2} \ln \left(x \right)+\left(1000+1000 \ln \left(5\right)\right) x \ln \left(x \right)+\left(2400+640 \ln \left(5\right)\right) x^{3} \ln \left(x \right)^{2}+\left(2500+4000 \ln \left(5\right)\right) x \ln \left(x \right)^{2}+\left(4000+2400 \ln \left(5\right)\right) x^{2} \ln \left(x \right)^{2}+4 x^{3}+32 x^{4} \ln \left(x \right)+64 x^{5} \ln \left(x \right)^{2}+2500 \ln \left(5\right) \ln \left(x \right)^{2}$&$143$\\ default&$100 x +1000 x^{2} \ln \left(x \right)+164 x^{2} \ln \left(5\right)+4000 x^{2} \ln \left(x \right)^{2}+4 x^{3}+40 x^{2}+320 x^{3} \ln \left(x \right)+640 x^{4} \ln \left(x \right)^{2}+1040 x \ln \left(5\right)+32 x^{4} \ln \left(x \right)+2500 x \ln \left(x \right)^{2}+\frac{32 x^{3} \ln \left(5\right)}{3}+1000 x \ln \left(x \right)+64 x^{5} \ln \left(x \right)^{2}+1000 \ln \left(5\right) \ln \left(x \right)+2400 x^{3} \ln \left(x \right)^{2}+4000 \ln \left(5\right) \left(x \ln \left(x \right)^{2}-2 x \ln \left(x \right)+2 x \right)+4800 \ln \left(5\right) \left(\frac{x^{2} \ln \left(x \right)^{2}}{2}-\frac{x^{2} \ln \left(x \right)}{2}+\frac{x^{2}}{4}\right)+256 \ln \left(5\right) \left(\frac{x^{4} \ln \left(x \right)^{2}}{4}-\frac{x^{4} \ln \left(x \right)}{8}+\frac{x^{4}}{32}\right)+128 \ln \left(5\right) \left(\frac{x^{4} \ln \left(x \right)}{4}-\frac{x^{4}}{16}\right)+1920 \ln \left(5\right) \left(\frac{x^{3} \ln \left(x \right)^{2}}{3}-\frac{2 x^{3} \ln \left(x \right)}{9}+\frac{2 x^{3}}{27}\right)+1376 \ln \left(5\right) \left(\frac{x^{3} \ln \left(x \right)}{3}-\frac{x^{3}}{9}\right)+9000 \ln \left(5\right) \left(x \ln \left(x \right)-x \right)+5440 \ln \left(5\right) \left(\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}\right)+2500 \ln \left(5\right) \ln \left(x \right)^{2}$&$277$\\ \hline \end{longtable}"," ",0,"(64*x^4*ln(5)+64*x^5+640*x^3*ln(5)+640*x^4+2400*x^2*ln(5)+2400*x^3+4000*x*ln(5)+4000*x^2+2500*ln(5)+2500*x)*ln(x)^2+(32*x^3*ln(5)+32*x^4+320*x^2*ln(5)+320*x^3+1000*x*ln(5)+1000*x^2+1000*x)*ln(x)+4*x^2*ln(5)+4*x^3+40*x*ln(5)+40*x^2+100*x+1000*ln(5)*ln(x)","B"
8736,1,51,21,0.054000," ","int((50*x*ln(x)^3+(-20*x*ln(3)+30*x^2+20*x)*ln(x)^2+(2*x*ln(3)^2+(-6*x^2+6*x)*ln(3)+4*x^3-4*x^2-8*x)*ln(x)-2*x*ln(3)^2+(4*x^2+4*x)*ln(3)-2*x^3-4*x^2-2*x)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 x^{2}+\frac{x^{2} \left(\ln \left(3\right)^{2}-2 x \ln \left(3\right)-10 \ln \left(3\right) \ln \left(x \right)+x^{2}+10 x \ln \left(x \right)-2 \ln \left(3\right)+2 x +10 \ln \left(x \right)+1\right)}{\ln \left(x \right)^{2}}$&$51$\\ norman&$\frac{x^{4}+\left(-2 \ln \left(3\right)+2\right) x^{3}+\left(\ln \left(3\right)^{2}-2 \ln \left(3\right)+1\right) x^{2}+\left(-10 \ln \left(3\right)+10\right) x^{2} \ln \left(x \right)+25 x^{2} \ln \left(x \right)^{2}+10 x^{3} \ln \left(x \right)}{\ln \left(x \right)^{2}}$&$62$\\ default&$\frac{10 x^{2}}{\ln \left(x \right)}+25 x^{2}+\frac{x^{2}}{\ln \left(x \right)^{2}}+\frac{10 x^{3}}{\ln \left(x \right)}+\frac{x^{4}}{\ln \left(x \right)^{2}}+\frac{2 x^{3}}{\ln \left(x \right)^{2}}+20 \ln \left(3\right) \expIntegralEi \left(1, -2 \ln \left(x \right)\right)+2 \ln \left(3\right)^{2} \left(-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)-6 \ln \left(3\right) \left(-\frac{x^{3}}{\ln \left(x \right)}-3 \expIntegralEi \left(1, -3 \ln \left(x \right)\right)\right)+6 \ln \left(3\right) \left(-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)-2 \ln \left(3\right)^{2} \left(-\frac{x^{2}}{2 \ln \left(x \right)^{2}}-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)+4 \ln \left(3\right) \left(-\frac{x^{3}}{2 \ln \left(x \right)^{2}}-\frac{3 x^{3}}{2 \ln \left(x \right)}-\frac{9 \expIntegralEi \left(1, -3 \ln \left(x \right)\right)}{2}\right)+4 \ln \left(3\right) \left(-\frac{x^{2}}{2 \ln \left(x \right)^{2}}-\frac{x^{2}}{\ln \left(x \right)}-2 \expIntegralEi \left(1, -2 \ln \left(x \right)\right)\right)$&$223$\\ \hline \end{longtable}"," ",0,"25*x^2+x^2*(ln(3)^2-2*x*ln(3)-10*ln(3)*ln(x)+x^2+10*x*ln(x)-2*ln(3)+2*x+10*ln(x)+1)/ln(x)^2","B"
8737,1,24,31,0.072000," ","int((((3*x^3-4*x^2-1)*exp(x)+15*x^4-11*x^3-7*x^2-7*x-3)*exp(x^3-2*x^2+x)+exp(x)*x^2+5*x^2)/(exp(x^3-2*x^2+x)^2-2*x*exp(x^3-2*x^2+x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(5 x +{\mathrm e}^{x}+3\right) x}{x -{\mathrm e}^{x \left(x -1\right)^{2}}}$&$24$\\ norman&$\frac{3 \,{\mathrm e}^{x^{3}-2 x^{2}+x}+{\mathrm e}^{x} x +5 x^{2}}{x -{\mathrm e}^{x^{3}-2 x^{2}+x}}$&$42$\\ \hline \end{longtable}"," ",0,"(5*x+exp(x)+3)*x/(x-exp(x*(x-1)^2))","A"
8738,1,24,20,0.060000," ","int(-2*x*ln(-ln(2)-I*Pi)-3*x^2+48*x+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(x \ln \left(-\ln \left(2\right)-i \pi \right)+x^{2}-24 x -3\right)$&$24$\\ norman&$\left(-\ln \left(-\ln \left(2\right)-i \pi \right)+24\right) x^{2}+3 x -x^{3}$&$28$\\ default&$-x^{2} \ln \left(-\ln \left(2\right)-i \pi \right)-x^{3}+24 x^{2}+3 x$&$30$\\ risch&$-\ln \left(-i \left(-i \ln \left(2\right)+\pi \right)\right) x^{2}-x^{3}+24 x^{2}+3 x$&$31$\\ \hline \end{longtable}"," ",0,"-x*(x*ln(-ln(2)-I*Pi)+x^2-24*x-3)","A"
8739,1,30,17,0.048000," ","int(((2*x^3-12*x^2+17*x)*ln(x)^2+(-4*x^2+12*x)*ln(x)+2*x-1)/((x^3-6*x^2+9*x)*ln(x)^2+(-2*x^2+6*x)*ln(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-17 \ln \left(x \right)-2 x +2 x^{2} \ln \left(x \right)-6}{x \ln \left(x \right)-3 \ln \left(x \right)-1}$&$30$\\ risch&$\frac{2 x^{2}-6 x +1}{x -3}+\frac{1}{\left(x -3\right) \left(x \ln \left(x \right)-3 \ln \left(x \right)-1\right)}$&$36$\\ \hline \end{longtable}"," ",0,"(-17*ln(x)-2*x+2*x^2*ln(x)-6)/(x*ln(x)-3*ln(x)-1)","A"
8740,1,35,29,0.100000," ","int(((-1000*ln(2)^2*exp(1)*x+2*(-10*x^5-20*x^4)*exp(1)^2*ln(2))*ln(x)+500*ln(2)^2*exp(1)*x+2*(-5*x^5-20*x^4)*exp(1)^2*ln(2))/(2500*ln(2)^2+2*(-50*x^4-200*x^3)*exp(1)*ln(2)+(x^8+8*x^7+16*x^6)*exp(1)^2)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{10 x^{2} \ln \left(2\right) {\mathrm e}}{\left(-x^{4} {\mathrm e}-4 x^{3} {\mathrm e}+50 \ln \left(2\right)\right) \ln \left(x \right)}$&$35$\\ \hline \end{longtable}"," ",0,"-10*x^2*ln(2)*exp(1)/(-x^4*exp(1)-4*x^3*exp(1)+50*ln(2))/ln(x)","A"
8741,1,15,18,0.146000," ","int((9720*x^2-6075*x-4860)/x^5/exp(2*x+1)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1215 \left(x -1\right) {\mathrm e}^{-8 x -4}}{x^{4}}$&$15$\\ gosper&$-\frac{1215 \left(x -1\right) {\mathrm e}^{-8 x -4}}{x^{4}}$&$17$\\ norman&$\frac{\left(1215-1215 x \right) {\mathrm e}^{-8 x -4}}{x^{4}}$&$18$\\ derivativedivides&$\frac{405 \,{\mathrm e}^{-8 x -4} \left(32 \left(2 x +1\right)^{3}-104 \left(2 x +1\right)^{2}+232 x +69\right)}{8 x^{4}}+\frac{15795 \,{\mathrm e}^{-8 x -4}}{8 x^{4}}-\frac{405 \,{\mathrm e}^{-8 x -4} \left(8 \left(2 x +1\right)^{3}-26 \left(2 x +1\right)^{2}+64 x +21\right)}{2 x^{4}}$&$81$\\ default&$\frac{405 \,{\mathrm e}^{-8 x -4} \left(32 \left(2 x +1\right)^{3}-104 \left(2 x +1\right)^{2}+232 x +69\right)}{8 x^{4}}+\frac{15795 \,{\mathrm e}^{-8 x -4}}{8 x^{4}}-\frac{405 \,{\mathrm e}^{-8 x -4} \left(8 \left(2 x +1\right)^{3}-26 \left(2 x +1\right)^{2}+64 x +21\right)}{2 x^{4}}$&$81$\\ meijerg&$622080 \,{\mathrm e}^{-8 x -12+8 x \,{\mathrm e}^{-4}} \left(-\frac{{\mathrm e}^{8}}{128 x^{2}}+\frac{{\mathrm e}^{4}}{8 x}-\frac{11}{4}+\frac{\ln \left(x \right)}{2}+\frac{3 \ln \left(2\right)}{2}+\frac{{\mathrm e}^{8} \left(576 x^{2} {\mathrm e}^{-8}-96 x \,{\mathrm e}^{-4}+6\right)}{768 x^{2}}-\frac{{\mathrm e}^{8-8 x \,{\mathrm e}^{-4}} \left(3-24 x \,{\mathrm e}^{-4}\right)}{384 x^{2}}-\frac{\ln \left(8 x \,{\mathrm e}^{-4}\right)}{2}-\frac{\expIntegralEi \left(1, 8 x \,{\mathrm e}^{-4}\right)}{2}\right)-3110400 \,{\mathrm e}^{-8 x -16+8 x \,{\mathrm e}^{-4}} \left(-\frac{{\mathrm e}^{12}}{1536 x^{3}}+\frac{{\mathrm e}^{8}}{128 x^{2}}-\frac{{\mathrm e}^{4}}{16 x}+\frac{35}{36}-\frac{\ln \left(x \right)}{6}-\frac{\ln \left(2\right)}{2}+\frac{{\mathrm e}^{12} \left(-11264 x^{3} {\mathrm e}^{-12}+2304 x^{2} {\mathrm e}^{-8}-288 x \,{\mathrm e}^{-4}+24\right)}{36864 x^{3}}-\frac{{\mathrm e}^{12-8 x \,{\mathrm e}^{-4}} \left(256 x^{2} {\mathrm e}^{-8}-32 x \,{\mathrm e}^{-4}+8\right)}{12288 x^{3}}+\frac{\ln \left(8 x \,{\mathrm e}^{-4}\right)}{6}+\frac{\expIntegralEi \left(1, 8 x \,{\mathrm e}^{-4}\right)}{6}\right)-19906560 \,{\mathrm e}^{8 x \,{\mathrm e}^{-4}-20-8 x} \left(-\frac{{\mathrm e}^{16}}{16384 x^{4}}+\frac{{\mathrm e}^{12}}{1536 x^{3}}-\frac{{\mathrm e}^{8}}{256 x^{2}}+\frac{{\mathrm e}^{4}}{48 x}-\frac{73}{288}+\frac{\ln \left(x \right)}{24}+\frac{\ln \left(2\right)}{8}+\frac{{\mathrm e}^{16} \left(512000 x^{4} {\mathrm e}^{-16}-122880 x^{3} {\mathrm e}^{-12}+23040 x^{2} {\mathrm e}^{-8}-3840 x \,{\mathrm e}^{-4}+360\right)}{5898240 x^{4}}-\frac{{\mathrm e}^{16-8 x \,{\mathrm e}^{-4}} \left(-2560 x^{3} {\mathrm e}^{-12}+320 x^{2} {\mathrm e}^{-8}-80 x \,{\mathrm e}^{-4}+30\right)}{491520 x^{4}}-\frac{\ln \left(8 x \,{\mathrm e}^{-4}\right)}{24}-\frac{\expIntegralEi \left(1, 8 x \,{\mathrm e}^{-4}\right)}{24}\right)$&$350$\\ \hline \end{longtable}"," ",0,"-1215*(x-1)*exp(-8*x-4)/x^4","A"
8742,1,32,25,0.145000," ","int((ln(exp(5)+exp(2)-2)+(4*x^3+40*x^2)*exp(x^2+20*x+100)^2)*exp((-ln(exp(5)+exp(2)-2)+x*exp(x^2+20*x+100)^2+3*x)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{-\ln \left({\mathrm e}^{5}+{\mathrm e}^{2}-2\right)+x \,{\mathrm e}^{2 x^{2}+40 x +200}+3 x}{x}}$&$32$\\ risch&$\left({\mathrm e}-1\right)^{-\frac{1}{x}} \left({\mathrm e}^{4}+{\mathrm e}^{3}+{\mathrm e}^{2}+2 \,{\mathrm e}+2\right)^{-\frac{1}{x}} {\mathrm e}^{{\mathrm e}^{2 \left(x +10\right)^{2}}+3}$&$41$\\ \hline \end{longtable}"," ",0,"exp((-ln(exp(5)+exp(2)-2)+x*exp(x^2+20*x+100)^2+3*x)/x)","A"
8743,1,17,20,0.108000," ","int((168*x^3-504*x^2+504*x-504)/(25*x^6+150*x^4+225*x^2)/exp(1-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{168 \,{\mathrm e}^{x -1}}{25 \left(x^{2}+3\right) x}$&$17$\\ gosper&$\frac{168 \,{\mathrm e}^{x -1}}{25 \left(x^{2}+3\right) x}$&$21$\\ norman&$\frac{168 \,{\mathrm e}^{x -1}}{25 \left(x^{2}+3\right) x}$&$21$\\ derivativedivides&$-\frac{56 \,{\mathrm e}^{x -1} \left(\left(1-x \right)^{2}+1+2 x \right)}{25 \left(\left(1-x \right)^{3}-3 \left(1-x \right)^{2}+2-6 x \right)}+\frac{56 \,{\mathrm e}^{x -1} \left(1-x \right) \left(-x -1\right)}{25 \left(\left(1-x \right)^{3}-3 \left(1-x \right)^{2}+2-6 x \right)}$&$82$\\ default&$-\frac{56 \,{\mathrm e}^{x -1} \left(\left(1-x \right)^{2}+1+2 x \right)}{25 \left(\left(1-x \right)^{3}-3 \left(1-x \right)^{2}+2-6 x \right)}+\frac{56 \,{\mathrm e}^{x -1} \left(1-x \right) \left(-x -1\right)}{25 \left(\left(1-x \right)^{3}-3 \left(1-x \right)^{2}+2-6 x \right)}$&$82$\\ \hline \end{longtable}"," ",0,"168/25/(x^2+3)/x*exp(x-1)","A"
8744,1,8,14,0.011000," ","int(2*ln(x)+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +2 x \ln \left(x \right)$&$8$\\ norman&$x +2 x \ln \left(x \right)$&$8$\\ risch&$x +2 x \ln \left(x \right)$&$8$\\ \hline \end{longtable}"," ",0,"x+2*x*ln(x)","A"
8745,1,31,23,0.033000," ","int((6*x^8-8*x^6+12*x^5+10*x^4-4*x^3-8*x-8)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(x^{6}+2 x^{5}+5 x^{2}+6 x +2\right) \left(x^{2}-2 x +2\right)}{x^{2}}$&$31$\\ risch&$x^{6}-2 x^{4}+4 x^{3}+5 x^{2}-4 x +\frac{8 x +4}{x^{2}}$&$32$\\ default&$x^{6}-2 x^{4}+4 x^{3}+5 x^{2}-4 x +\frac{4}{x^{2}}+\frac{8}{x}$&$33$\\ norman&$\frac{x^{8}-2 x^{6}+4 x^{5}+5 x^{4}-4 x^{3}+8 x +4}{x^{2}}$&$33$\\ \hline \end{longtable}"," ",0,"(x^6+2*x^5+5*x^2+6*x+2)*(x^2-2*x+2)/x^2","A"
8746,1,14,21,0.027000," ","int(1/8*(-x-2)/ln(1/4*exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{\left(4+x \right) x}{16 \ln \left(\frac{{\mathrm e}^{4}}{4}\right)}$&$14$\\ default&$\frac{-\frac{1}{2} x^{2}-2 x}{8 \ln \left(\frac{{\mathrm e}^{4}}{4}\right)}$&$19$\\ norman&$\frac{x}{8 \ln \left(2\right)-16}+\frac{x^{2}}{32 \ln \left(2\right)-64}$&$22$\\ risch&$-\frac{x^{2}}{16 \left(4-2 \ln \left(2\right)\right)}-\frac{x}{4 \left(4-2 \ln \left(2\right)\right)}$&$26$\\ \hline \end{longtable}"," ",0,"-1/16*(4+x)*x/ln(1/4*exp(4))","A"
8747,1,729,22,0.600000," ","int(((625*x+625)*ln(x)*ln(4*x*ln(x))^2+((1250*x+1250)*ln(x)*ln(x+1)+(2550*x+1300)*ln(x)+1250*x+1250)*ln(4*x*ln(x))+(625*x+625)*ln(x)*ln(x+1)^2+((2550*x+1300)*ln(x)+1250*x+1250)*ln(x+1)+(2*x^2+103*x+51)*ln(x)+50*x+50)/ln(x)/(x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +2500 x \ln \left(2\right) \ln \left(x \right)+x^{2}+50 \ln \left(x +1\right) x +2500 x \ln \left(2\right)^{2}+625 x \ln \left(x \right)^{2}+100 x \ln \left(2\right)+50 x \ln \left(x \right)+625 x \ln \left(\ln \left(x \right)\right)^{2}+625 x \ln \left(x +1\right)^{2}+\left(1250 \ln \left(x +1\right) x +625 i \pi  x \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \right)+625 i \pi  x \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)-625 i \pi  x \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)-625 i \pi  x \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}+2500 x \ln \left(2\right)+1250 x \ln \left(x \right)+50 x \right) \ln \left(\ln \left(x \right)\right)-625 i \pi  x \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3} \ln \left(x +1\right)-1250 i x \ln \left(2\right) \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)-625 i \pi  x \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \ln \left(x \right)-625 i \pi  x \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \ln \left(x +1\right)+1250 \ln \left(x \right) \ln \left(x +1\right) x +625 i \pi  x \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \ln \left(x +1\right)-25 i \pi  x \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)+1250 i x \ln \left(2\right) \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \right)+1250 i x \ln \left(2\right) \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)+625 i \pi  x \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \right) \ln \left(x \right)+625 i \pi  x \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \ln \left(x \right)+625 i \pi  x \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \right) \ln \left(x +1\right)+2500 \ln \left(2\right) x \ln \left(x +1\right)-\frac{625 x \,\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{4} \mathrm{csgn}\left(i x \right)^{2}}{4}-625 i \pi  x \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3} \ln \left(x \right)+25 i \pi  x \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \right)-25 i \pi  x \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}-\frac{625 x \,\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{4} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2}}{4}+\frac{625 x \,\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{5} \mathrm{csgn}\left(i \ln \left(x \right)\right)}{2}+\frac{625 x \,\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{5} \mathrm{csgn}\left(i x \right)}{2}-\frac{625 x \,\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{6}}{4}+25 i \pi  x \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)-625 x \,\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)\right)-1250 i x \ln \left(2\right) \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3}-\frac{625 x \,\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2}}{4}+\frac{625 x \,\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)}{2}+\frac{625 x \,\pi^{2} \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{3} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i x \right)}{2}$&$729$\\ \hline \end{longtable}"," ",0,"x+2500*x*ln(2)*ln(x)+x^2+50*ln(x+1)*x+2500*x*ln(2)^2+625*x*ln(x)^2+100*x*ln(2)+50*x*ln(x)+625*x*ln(ln(x))^2+625*x*ln(x+1)^2+625*I*Pi*x*csgn(I*x*ln(x))^2*csgn(I*ln(x))*ln(x+1)-25*I*Pi*x*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x))+1250*I*x*ln(2)*Pi*csgn(I*x*ln(x))^2*csgn(I*x)-625/4*x*Pi^2*csgn(I*x*ln(x))^4*csgn(I*x)^2-625*I*Pi*x*csgn(I*x*ln(x))^3*ln(x+1)-625*I*Pi*x*csgn(I*x*ln(x))^3*ln(x)+25*I*Pi*x*csgn(I*x*ln(x))^2*csgn(I*x)+25*I*Pi*x*csgn(I*x*ln(x))^2*csgn(I*ln(x))+(1250*ln(x+1)*x+625*I*Pi*x*csgn(I*x*ln(x))^2*csgn(I*x)+625*I*Pi*x*csgn(I*x*ln(x))^2*csgn(I*ln(x))-625*I*Pi*x*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x))-625*I*Pi*x*csgn(I*x*ln(x))^3+2500*x*ln(2)+1250*x*ln(x)+50*x)*ln(ln(x))-1250*I*x*ln(2)*Pi*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x))-625*I*Pi*x*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x))*ln(x)-625*I*Pi*x*csgn(I*x*ln(x))*csgn(I*x)*csgn(I*ln(x))*ln(x+1)-625*x*Pi^2*csgn(I*x*ln(x))^4*csgn(I*x)*csgn(I*ln(x))+1250*I*x*ln(2)*Pi*csgn(I*x*ln(x))^2*csgn(I*ln(x))+625*I*Pi*x*csgn(I*x*ln(x))^2*csgn(I*x)*ln(x)+625*I*Pi*x*csgn(I*x*ln(x))^2*csgn(I*ln(x))*ln(x)+625*I*Pi*x*csgn(I*x*ln(x))^2*csgn(I*x)*ln(x+1)+1250*ln(x)*ln(x+1)*x-25*I*Pi*x*csgn(I*x*ln(x))^3-625/4*x*Pi^2*csgn(I*x*ln(x))^4*csgn(I*ln(x))^2+2500*ln(2)*x*ln(x+1)-1250*I*x*ln(2)*Pi*csgn(I*x*ln(x))^3+625/2*x*Pi^2*csgn(I*x*ln(x))^5*csgn(I*ln(x))+625/2*x*Pi^2*csgn(I*x*ln(x))^5*csgn(I*x)-625/4*x*Pi^2*csgn(I*x*ln(x))^2*csgn(I*x)^2*csgn(I*ln(x))^2-625/4*x*Pi^2*csgn(I*x*ln(x))^6+625/2*x*Pi^2*csgn(I*x*ln(x))^3*csgn(I*x)^2*csgn(I*ln(x))+625/2*x*Pi^2*csgn(I*x*ln(x))^3*csgn(I*ln(x))^2*csgn(I*x)","C"
8748,1,19,28,0.059000," ","int((-2*x*exp(6-2*x)*ln(x)^4+(-4*x^2+2488*x)*exp(6-2*x)*ln(x)^2+2*ln(x)+(-2*x^3+2488*x^2-773768*x)*exp(6-2*x)+x)/(x*ln(x)^4+(2*x^2-1244*x)*ln(x)^2+x^3-1244*x^2+386884*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{6-2 x}-\frac{1}{\ln \left(x \right)^{2}+x -622}$&$19$\\ \hline \end{longtable}"," ",0,"exp(6-2*x)-1/(ln(x)^2+x-622)","A"
8749,1,57,30,0.527000," ","int(((3*x^4-24*x^3+32*x^2-4*x+3)*exp(1)^2+(6*x^3-32*x^2+2*x-6)*exp(1)+3*x^2+2*x+3)/((x^2-2*x+1)*exp(1)^2+(2*x-2)*exp(1)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{4} {\mathrm e}+\left(-10 \,{\mathrm e}+1\right) x^{3}+\left(2 \,{\mathrm e}+1\right) x^{2}-3 \left({\mathrm e}^{2}-2 \,{\mathrm e}+1\right) {\mathrm e}^{-1}}{x \,{\mathrm e}-{\mathrm e}+1}$&$57$\\ gosper&$\frac{\left(x^{4} {\mathrm e}^{2}-10 x^{3} {\mathrm e}^{2}+2 x^{2} {\mathrm e}^{2}+x^{3} {\mathrm e}+x^{2} {\mathrm e}-3 \,{\mathrm e}^{2}+6 \,{\mathrm e}-3\right) {\mathrm e}^{-1}}{x \,{\mathrm e}-{\mathrm e}+1}$&$68$\\ risch&${\mathrm e} \,{\mathrm e}^{-1} x^{3}-9 \,{\mathrm e} \,{\mathrm e}^{-1} x^{2}-7 \,{\mathrm e} \,{\mathrm e}^{-1} x +10 \,{\mathrm e}^{-1} x -\frac{10 \,{\mathrm e}^{-2} {\mathrm e}^{3}}{x \,{\mathrm e}-{\mathrm e}+1}+\frac{30 \,{\mathrm e}^{-2} {\mathrm e}^{2}}{x \,{\mathrm e}-{\mathrm e}+1}-\frac{30 \,{\mathrm e}^{-2} {\mathrm e}}{x \,{\mathrm e}-{\mathrm e}+1}+\frac{10 \,{\mathrm e}^{-2}}{x \,{\mathrm e}-{\mathrm e}+1}$&$101$\\ meijerg&$-3 \,{\mathrm e}^{-3} \left({\mathrm e}-1\right)^{3} \left(-\frac{x \,{\mathrm e} \left(-\frac{5 x^{3} {\mathrm e}^{3}}{\left({\mathrm e}-1\right)^{3}}-\frac{10 x^{2} {\mathrm e}^{2}}{\left({\mathrm e}-1\right)^{2}}-\frac{30 x \,{\mathrm e}}{{\mathrm e}-1}+60\right)}{15 \left({\mathrm e}-1\right) \left(1-\frac{x \,{\mathrm e}}{{\mathrm e}-1}\right)}-4 \ln \left(1-\frac{x \,{\mathrm e}}{{\mathrm e}-1}\right)\right)+\left(-24 \,{\mathrm e}^{2}+6 \,{\mathrm e}\right) \left({\mathrm e}-1\right)^{2} {\mathrm e}^{-4} \left(\frac{x \,{\mathrm e} \left(-\frac{2 x^{2} {\mathrm e}^{2}}{\left({\mathrm e}-1\right)^{2}}-\frac{6 x \,{\mathrm e}}{{\mathrm e}-1}+12\right)}{4 \left({\mathrm e}-1\right) \left(1-\frac{x \,{\mathrm e}}{{\mathrm e}-1}\right)}+3 \ln \left(1-\frac{x \,{\mathrm e}}{{\mathrm e}-1}\right)\right)-\left(32 \,{\mathrm e}^{2}-32 \,{\mathrm e}+3\right) {\mathrm e}^{-3} \left({\mathrm e}-1\right) \left(-\frac{x \,{\mathrm e} \left(-\frac{3 x \,{\mathrm e}}{{\mathrm e}-1}+6\right)}{3 \left({\mathrm e}-1\right) \left(1-\frac{x \,{\mathrm e}}{{\mathrm e}-1}\right)}-2 \ln \left(1-\frac{x \,{\mathrm e}}{{\mathrm e}-1}\right)\right)+\left(-4 \,{\mathrm e}^{2}+2 \,{\mathrm e}+2\right) {\mathrm e}^{-2} \left(\frac{x \,{\mathrm e}}{\left({\mathrm e}-1\right) \left(1-\frac{x \,{\mathrm e}}{{\mathrm e}-1}\right)}+\ln \left(1-\frac{x \,{\mathrm e}}{{\mathrm e}-1}\right)\right)+\frac{3 \,{\mathrm e}^{2} x}{\left({\mathrm e}-1\right)^{2} \left(1-\frac{x \,{\mathrm e}}{{\mathrm e}-1}\right)}-\frac{6 \,{\mathrm e} x}{\left({\mathrm e}-1\right)^{2} \left(1-\frac{x \,{\mathrm e}}{{\mathrm e}-1}\right)}+\frac{3 x}{\left({\mathrm e}-1\right)^{2} \left(1-\frac{x \,{\mathrm e}}{{\mathrm e}-1}\right)}$&$384$\\ \hline \end{longtable}"," ",0,"(x^4*exp(1)+(-10*exp(1)+1)*x^3+(2*exp(1)+1)*x^2-3*(exp(1)^2-2*exp(1)+1)/exp(1))/(x*exp(1)-exp(1)+1)","A"
8750,1,32,17,0.028000," ","int(2*exp(x)^2+(-23*x^2-48*x-1)*exp(x)+529*x^3+69*x^2+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x}+\left(-23 x^{2}-2 x +1\right) {\mathrm e}^{x}+\frac{529 x^{4}}{4}+23 x^{3}+x^{2}$&$32$\\ default&$-2 \,{\mathrm e}^{x} x +{\mathrm e}^{x}-23 \,{\mathrm e}^{x} x^{2}+x^{2}+23 x^{3}+\frac{529 x^{4}}{4}+{\mathrm e}^{2 x}$&$33$\\ norman&$-2 \,{\mathrm e}^{x} x +{\mathrm e}^{x}-23 \,{\mathrm e}^{x} x^{2}+x^{2}+23 x^{3}+\frac{529 x^{4}}{4}+{\mathrm e}^{2 x}$&$33$\\ \hline \end{longtable}"," ",0,"exp(2*x)+(-23*x^2-2*x+1)*exp(x)+529/4*x^4+23*x^3+x^2","A"
8751,1,60,30,0.051000," ","int(((-4*exp(x)^2*x^2-8*exp(x)*x^3-4*x^4)*ln(x)^2+(8*x*exp(x)^2+16*exp(x)*x^2+8*x^3)*ln(x)+5*x*exp(x)^3+(10*x^2-15*x-15)*exp(x)^2+(5*x^3+10*x^2-30*x)*exp(x)+5*x^3+5*x^2)*exp(((4*exp(x)*x+4*x^2)*ln(x)^2+10*x*exp(x)^2+(10*x^2+15)*exp(x)-5*x)/(5*x*exp(x)^2+5*exp(x)*x^2))/(5*x*exp(x)^3+10*exp(x)^2*x^2+5*exp(x)*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{\frac{4 x \,{\mathrm e}^{x} \ln \left(x \right)^{2}+4 x^{2} \ln \left(x \right)^{2}+10 \,{\mathrm e}^{x} x^{2}+10 x \,{\mathrm e}^{2 x}+15 \,{\mathrm e}^{x}-5 x}{5 x \left({\mathrm e}^{x} x +{\mathrm e}^{2 x}\right)}}$&$60$\\ \hline \end{longtable}"," ",0,"x*exp(1/5*(4*x*exp(x)*ln(x)^2+4*x^2*ln(x)^2+10*exp(x)*x^2+10*x*exp(2*x)+15*exp(x)-5*x)/x/(exp(x)*x+exp(2*x)))","A"
8752,1,19,13,0.030000," ","int(-1/4*exp(21)*ln(x)+1/4*(-2*x-1)*exp(21)+1/2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{2}-\frac{{\mathrm e}^{21} x^{2}}{4}-\frac{\ln \left(x \right) {\mathrm e}^{21} x}{4}$&$19$\\ risch&$\frac{x}{2}-\frac{{\mathrm e}^{21} x^{2}}{4}-\frac{\ln \left(x \right) {\mathrm e}^{21} x}{4}$&$19$\\ default&$\frac{x}{2}+\frac{{\mathrm e}^{21} \left(-x^{2}-x \right)}{4}-\frac{\ln \left(x \right) {\mathrm e}^{21} x}{4}+\frac{x \,{\mathrm e}^{21}}{4}$&$30$\\ \hline \end{longtable}"," ",0,"1/2*x-1/4*exp(21)*x^2-1/4*ln(x)*exp(21)*x","A"
8753,1,12,16,0.057000," ","int(-1/2*ln(5*exp(x))+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\frac{\ln \left(5 \,{\mathrm e}^{x}\right)^{2}}{4}$&$12$\\ derivativedivides&$-\frac{\ln \left(5 \,{\mathrm e}^{x}\right)^{2}}{4}+\ln \left(5 \,{\mathrm e}^{x}\right)$&$16$\\ norman&$-\frac{\ln \left(5 \,{\mathrm e}^{x}\right)^{2}}{4}+\ln \left(5 \,{\mathrm e}^{x}\right)$&$16$\\ risch&$-\frac{x \ln \left({\mathrm e}^{x}\right)}{2}-\frac{x \ln \left(5\right)}{2}+\frac{x^{2}}{4}+x$&$19$\\ \hline \end{longtable}"," ",0,"x-1/4*ln(5*exp(x))^2","A"
8754,1,34,19,0.090000," ","int((8*x^2-10*x)*exp(-4/5*x+28/5)^2+(8*x^3-30*x^2)*exp(-4/5*x+28/5)-20*x^3+30*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$15 x^{2}-5 x^{4}-10 \,{\mathrm e}^{-\frac{4 x}{5}+\frac{28}{5}} x^{3}-5 \,{\mathrm e}^{-\frac{8 x}{5}+\frac{56}{5}} x^{2}$&$34$\\ norman&$15 x^{2}-5 x^{4}-10 \,{\mathrm e}^{-\frac{4 x}{5}+\frac{28}{5}} x^{3}-5 \,{\mathrm e}^{-\frac{8 x}{5}+\frac{56}{5}} x^{2}$&$36$\\ default&$-245 \,{\mathrm e}^{-\frac{8 x}{5}+\frac{56}{5}}+\frac{175 \,{\mathrm e}^{-\frac{8 x}{5}+\frac{56}{5}} \left(-\frac{4 x}{5}+\frac{28}{5}\right)}{2}-\frac{125 \,{\mathrm e}^{-\frac{8 x}{5}+\frac{56}{5}} \left(-\frac{4 x}{5}+\frac{28}{5}\right)^{2}}{16}+\frac{3675 \,{\mathrm e}^{-\frac{4 x}{5}+\frac{28}{5}} \left(-\frac{4 x}{5}+\frac{28}{5}\right)}{2}-3430 \,{\mathrm e}^{-\frac{4 x}{5}+\frac{28}{5}}-\frac{2625 \,{\mathrm e}^{-\frac{4 x}{5}+\frac{28}{5}} \left(-\frac{4 x}{5}+\frac{28}{5}\right)^{2}}{8}+\frac{625 \,{\mathrm e}^{-\frac{4 x}{5}+\frac{28}{5}} \left(-\frac{4 x}{5}+\frac{28}{5}\right)^{3}}{32}+15 x^{2}-5 x^{4}$&$105$\\ derivativedivides&$210 x -1470+\frac{375 \left(-\frac{4 x}{5}+\frac{28}{5}\right)^{2}}{16}-5 x^{4}+\frac{3675 \,{\mathrm e}^{-\frac{4 x}{5}+\frac{28}{5}} \left(-\frac{4 x}{5}+\frac{28}{5}\right)}{2}-3430 \,{\mathrm e}^{-\frac{4 x}{5}+\frac{28}{5}}-\frac{2625 \,{\mathrm e}^{-\frac{4 x}{5}+\frac{28}{5}} \left(-\frac{4 x}{5}+\frac{28}{5}\right)^{2}}{8}+\frac{625 \,{\mathrm e}^{-\frac{4 x}{5}+\frac{28}{5}} \left(-\frac{4 x}{5}+\frac{28}{5}\right)^{3}}{32}-245 \,{\mathrm e}^{-\frac{8 x}{5}+\frac{56}{5}}+\frac{175 \,{\mathrm e}^{-\frac{8 x}{5}+\frac{56}{5}} \left(-\frac{4 x}{5}+\frac{28}{5}\right)}{2}-\frac{125 \,{\mathrm e}^{-\frac{8 x}{5}+\frac{56}{5}} \left(-\frac{4 x}{5}+\frac{28}{5}\right)^{2}}{16}$&$113$\\ \hline \end{longtable}"," ",0,"15*x^2-5*x^4-10*exp(-4/5*x+28/5)*x^3-5*exp(-8/5*x+56/5)*x^2","A"
8755,1,41,17,0.212000," ","int((((-10*x-10)*exp(1/x)*ln(1/x^2)-20*x*exp(1/x))*ln(x)-10*x*exp(1/x)*ln(1/x^2))/x^3/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{\frac{\left(10 \ln \left(\frac{1}{x^{2}}\right)-20 \ln \left(\frac{1}{x}\right)\right) {\mathrm e}^{\frac{1}{x}}}{x}+\frac{20 \,{\mathrm e}^{\frac{1}{x}} \ln \left(\frac{1}{x}\right)}{x}}{\ln \left(x \right)}$&$41$\\ default&$\frac{\frac{\left(10 \ln \left(\frac{1}{x^{2}}\right)-20 \ln \left(\frac{1}{x}\right)\right) {\mathrm e}^{\frac{1}{x}}}{x}+\frac{20 \,{\mathrm e}^{\frac{1}{x}} \ln \left(\frac{1}{x}\right)}{x}}{\ln \left(x \right)}$&$41$\\ risch&$-\frac{20 \,{\mathrm e}^{\frac{1}{x}}}{x}+\frac{5 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{\frac{1}{x}} \left(\mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{x \ln \left(x \right)}$&$64$\\ \hline \end{longtable}"," ",0,"((10*ln(1/x^2)-20*ln(1/x))/x*exp(1/x)+20*exp(1/x)/x*ln(1/x))/ln(x)","B"
8756,1,22,22,0.042000," ","int((((2*x^4+16*x^3+42*x^2+36*x)*exp(x)-x^4-8*x^3-21*x^2-18*x)*ln(2+x)^2+((2*x^2+4*x)*ln(x)-2*x^2-10*x-12)*ln(2+x)+(2*x^2+6*x)*ln(x))/(2*x^4+16*x^3+42*x^2+36*x)/ln(2+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{2}+{\mathrm e}^{x}-\frac{\ln \left(x \right)}{\ln \left(2+x \right) \left(3+x \right)}$&$22$\\ \hline \end{longtable}"," ",0,"-1/2*x+exp(x)-1/ln(2+x)*ln(x)/(3+x)","A"
8757,1,25,33,0.104000," ","int(((-15*x^4+10*x^3+10)*exp((x^4-x^3+2)/x)-15*x^2)/(3*x^2*exp((x^4-x^3+2)/x)^2+(18*x^3-12*x^2)*exp((x^4-x^3+2)/x)+27*x^4-36*x^3+12*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5}{3 \left(-2+{\mathrm e}^{\frac{x^{4}-x^{3}+2}{x}}+3 x \right)}$&$25$\\ risch&$\frac{5}{3 \left(-2+{\mathrm e}^{\frac{x^{4}-x^{3}+2}{x}}+3 x \right)}$&$25$\\ \hline \end{longtable}"," ",0,"5/3/(-2+exp((x^4-x^3+2)/x)+3*x)","A"
8758,1,11,10,0.532000," ","int(-4/(ln(3/2)^2-2*x*ln(3/2)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{4}{\ln \left(\frac{3}{2}\right)-x}$&$11$\\ default&$\frac{4}{x -\ln \left(\frac{3}{2}\right)}$&$11$\\ norman&$-\frac{4}{\ln \left(\frac{3}{2}\right)-x}$&$11$\\ risch&$\frac{4}{x +\ln \left(2\right)-\ln \left(3\right)}$&$13$\\ meijerg&$\frac{4 \left(\ln \left(2\right)-\ln \left(3\right)\right) x}{\ln \left(\frac{3}{2}\right)^{2} \left(1-\frac{x}{\ln \left(3\right)-\ln \left(2\right)}\right) \left(\ln \left(3\right)-\ln \left(2\right)\right)}$&$40$\\ \hline \end{longtable}"," ",0,"-4/(ln(3/2)-x)","A"
8759,1,10,12,0.059000," ","int(1/3*(x-15)*exp(-15*ln(x)+x-5)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{x -5}}{3 x^{15}}$&$10$\\ risch&$\frac{{\mathrm e}^{x -5}}{3 x^{15}}$&$10$\\ gosper&$\frac{{\mathrm e}^{-15 \ln \left(x \right)+x -5}}{3}$&$11$\\ norman&$\frac{{\mathrm e}^{-15 \ln \left(x \right)+x -5}}{3}$&$11$\\ \hline \end{longtable}"," ",0,"1/3/x^15*exp(x-5)","A"
8760,1,44,21,0.055000," ","int(1/5*((-2*ln(2/3)-2)*ln(x)^2+(-4*ln(2/3)-4)*ln(x)+(-60*x+4)*ln(2/3)-60*x+4)/ln(2/3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 x -30 \ln \left(\frac{2}{3}\right) x^{2}+4 \ln \left(\frac{2}{3}\right) x -2 \ln \left(\frac{2}{3}\right) \ln \left(x \right)^{2} x -2 x \ln \left(x \right)^{2}-30 x^{2}}{5 \ln \left(\frac{2}{3}\right)}$&$44$\\ norman&$\frac{4 \left(\ln \left(3\right)-\ln \left(2\right)-1\right) x}{5 \left(\ln \left(3\right)-\ln \left(2\right)\right)}-\frac{6 \left(\ln \left(3\right)-\ln \left(2\right)-1\right) x^{2}}{\ln \left(3\right)-\ln \left(2\right)}-\frac{2 \left(\ln \left(3\right)-\ln \left(2\right)-1\right) x \ln \left(x \right)^{2}}{5 \left(\ln \left(3\right)-\ln \left(2\right)\right)}$&$68$\\ risch&$\frac{2 \left(\ln \left(3\right)-\ln \left(2\right)-1\right) x \ln \left(x \right)^{2}}{5 \left(\ln \left(2\right)-\ln \left(3\right)\right)}+\frac{6 x^{2} \ln \left(3\right)}{\ln \left(2\right)-\ln \left(3\right)}-\frac{6 x^{2} \ln \left(2\right)}{\ln \left(2\right)-\ln \left(3\right)}-\frac{4 x \ln \left(3\right)}{5 \left(\ln \left(2\right)-\ln \left(3\right)\right)}+\frac{4 x \ln \left(2\right)}{5 \left(\ln \left(2\right)-\ln \left(3\right)\right)}-\frac{6 x^{2}}{\ln \left(2\right)-\ln \left(3\right)}+\frac{4 x}{5 \left(\ln \left(2\right)-\ln \left(3\right)\right)}$&$112$\\ \hline \end{longtable}"," ",0,"1/5/ln(2/3)*(4*x-30*ln(2/3)*x^2+4*ln(2/3)*x-2*ln(2/3)*ln(x)^2*x-2*x*ln(x)^2-30*x^2)","B"
8761,0,0,22,0.015000," ","int(((-x^3*ln(x^2)+x^4)*ln(ln(x^2)-x)^2+(-36*ln(x^2)+36*x)*ln(ln(x^2)-x)+12*x-24)/(x^4*ln(x^2)-x^5)/ln(ln(x^2)-x)^2,x)","\[\int \frac{\left(-x^{3} \ln \left(x^{2}\right)+x^{4}\right) \ln \left(\ln \left(x^{2}\right)-x \right)^{2}+\left(-36 \ln \left(x^{2}\right)+36 x \right) \ln \left(\ln \left(x^{2}\right)-x \right)+12 x -24}{\left(x^{4} \ln \left(x^{2}\right)-x^{5}\right) \ln \left(\ln \left(x^{2}\right)-x \right)^{2}}\, dx\]"," ",0,"int(((-x^3*ln(x^2)+x^4)*ln(ln(x^2)-x)^2+(-36*ln(x^2)+36*x)*ln(ln(x^2)-x)+12*x-24)/(x^4*ln(x^2)-x^5)/ln(ln(x^2)-x)^2,x)","F"
8762,1,340,36,2.178000," ","int(((-4*x^2+22*x-10)*exp(5)^3*ln(5-x)+(-4*x^2+22*x-10)*exp(5)^3*ln(5)+(6*x^2-24*x+10)*exp(5)^3)/(((x^3-6*x^2+5*x)*exp(5)^3*ln(5-x)+(x^3-6*x^2+5*x)*exp(5)^3*ln(5)+(-x^3+6*x^2-5*x)*exp(5)^3)*ln((x^2-x)/(ln(5-x)+ln(5)-1))^3+((3*x^3-18*x^2+15*x)*exp(5)^2*ln(5-x)+(3*x^3-18*x^2+15*x)*exp(5)^2*ln(5)+(-3*x^3+18*x^2-15*x)*exp(5)^2)*ln((x^2-x)/(ln(5-x)+ln(5)-1))^2+((3*x^3-18*x^2+15*x)*exp(5)*ln(5-x)+(3*x^3-18*x^2+15*x)*exp(5)*ln(5)+(-3*x^3+18*x^2-15*x)*exp(5))*ln((x^2-x)/(ln(5-x)+ln(5)-1))+(x^3-6*x^2+5*x)*ln(5-x)+(x^3-6*x^2+5*x)*ln(5)-x^3+6*x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \,{\mathrm e}^{10}}{\left(\pi  \,{\mathrm e}^{5} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(x -1\right)}{\ln \left(5-x \right)+\ln \left(5\right)-1}\right) \mathrm{csgn}\left(\frac{i x \left(x -1\right)}{\ln \left(5-x \right)+\ln \left(5\right)-1}\right)-\pi  \,{\mathrm e}^{5} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(x -1\right)}{\ln \left(5-x \right)+\ln \left(5\right)-1}\right)^{2}-\pi  \,{\mathrm e}^{5} \mathrm{csgn}\left(\frac{i}{\ln \left(5-x \right)+\ln \left(5\right)-1}\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)}{\ln \left(5-x \right)+\ln \left(5\right)-1}\right)^{2}+\pi  \,{\mathrm e}^{5} \mathrm{csgn}\left(\frac{i}{\ln \left(5-x \right)+\ln \left(5\right)-1}\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)}{\ln \left(5-x \right)+\ln \left(5\right)-1}\right) \mathrm{csgn}\left(i \left(x -1\right)\right)+\pi  \,{\mathrm e}^{5} \mathrm{csgn}\left(\frac{i \left(x -1\right)}{\ln \left(5-x \right)+\ln \left(5\right)-1}\right)^{3}-\pi  \,{\mathrm e}^{5} \mathrm{csgn}\left(\frac{i \left(x -1\right)}{\ln \left(5-x \right)+\ln \left(5\right)-1}\right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)-\pi  \,{\mathrm e}^{5} \mathrm{csgn}\left(\frac{i \left(x -1\right)}{\ln \left(5-x \right)+\ln \left(5\right)-1}\right) \mathrm{csgn}\left(\frac{i x \left(x -1\right)}{\ln \left(5-x \right)+\ln \left(5\right)-1}\right)^{2}+\pi  \,{\mathrm e}^{5} \mathrm{csgn}\left(\frac{i x \left(x -1\right)}{\ln \left(5-x \right)+\ln \left(5\right)-1}\right)^{3}+2 i {\mathrm e}^{5} \ln \left(x \right)+2 i {\mathrm e}^{5} \ln \left(x -1\right)-2 i {\mathrm e}^{5} \ln \left(\ln \left(5-x \right)+\ln \left(5\right)-1\right)+2 i\right)^{2}}$&$340$\\ \hline \end{longtable}"," ",0,"-4*exp(10)/(Pi*exp(5)*csgn(I*x)*csgn(I*(x-1)/(ln(5-x)+ln(5)-1))*csgn(I*x/(ln(5-x)+ln(5)-1)*(x-1))-Pi*exp(5)*csgn(I*x)*csgn(I*x/(ln(5-x)+ln(5)-1)*(x-1))^2-Pi*exp(5)*csgn(I/(ln(5-x)+ln(5)-1))*csgn(I*(x-1)/(ln(5-x)+ln(5)-1))^2+Pi*exp(5)*csgn(I/(ln(5-x)+ln(5)-1))*csgn(I*(x-1)/(ln(5-x)+ln(5)-1))*csgn(I*(x-1))+Pi*exp(5)*csgn(I*(x-1)/(ln(5-x)+ln(5)-1))^3-Pi*exp(5)*csgn(I*(x-1)/(ln(5-x)+ln(5)-1))^2*csgn(I*(x-1))-Pi*exp(5)*csgn(I*(x-1)/(ln(5-x)+ln(5)-1))*csgn(I*x/(ln(5-x)+ln(5)-1)*(x-1))^2+Pi*exp(5)*csgn(I*x/(ln(5-x)+ln(5)-1)*(x-1))^3+2*I*exp(5)*ln(x)+2*I*exp(5)*ln(x-1)-2*I*exp(5)*ln(ln(5-x)+ln(5)-1)+2*I)^2","C"
8763,1,32,17,0.047000," ","int(1/2*(ln(5/4)+(6*x-6)*exp(1))*ln(x^3)+3/2*ln(5/4)+1/2*(9*x-18)*exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-3 \,{\mathrm e}+\frac{\ln \left(5\right)}{2}-\ln \left(2\right)\right) x \ln \left(x^{3}\right)+\frac{3 \,{\mathrm e} \ln \left(x^{3}\right) x^{2}}{2}$&$32$\\ risch&$\frac{3 \,{\mathrm e} \ln \left(x^{3}\right) x^{2}}{2}+\frac{\ln \left(5\right) \ln \left(x^{3}\right) x}{2}-3 \,{\mathrm e} \ln \left(x^{3}\right) x -\ln \left(2\right) \ln \left(x^{3}\right) x$&$40$\\ default&$\frac{{\mathrm e} \left(\frac{9}{2} x^{2}-18 x \right)}{2}+\frac{\ln \left(5\right) \ln \left(x^{3}\right) x}{2}-\frac{3 x \ln \left(5\right)}{2}-3 \,{\mathrm e} \ln \left(x^{3}\right) x +9 x \,{\mathrm e}-\ln \left(2\right) \ln \left(x^{3}\right) x +3 x \ln \left(2\right)+\frac{3 \,{\mathrm e} \ln \left(x^{3}\right) x^{2}}{2}-\frac{9 x^{2} {\mathrm e}}{4}+\frac{3 \ln \left(\frac{5}{4}\right) x}{2}$&$80$\\ \hline \end{longtable}"," ",0,"(-3*exp(1)+1/2*ln(5)-ln(2))*x*ln(x^3)+3/2*exp(1)*ln(x^3)*x^2","A"
8764,1,21,21,0.129000," ","int((((3*x^2+x)*exp(1)+21*x^2+3*x)*ln(x)+(x^2+x)*exp(1)+7*x^2+5*x-2)/((x^3+x^2)*exp(1)+7*x^3+5*x^2-2*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(x \right)\right)+\ln \left(x \,{\mathrm e}+7 x -2\right)+2 \ln \left(x +1\right)$&$21$\\ norman&$\ln \left(\ln \left(x \right)\right)+\ln \left(x \,{\mathrm e}+7 x -2\right)+2 \ln \left(x +1\right)$&$21$\\ risch&$2 \ln \left(-x -1\right)+\ln \left(x \left(7+{\mathrm e}\right)-2\right)+\ln \left(\ln \left(x \right)\right)$&$22$\\ \hline \end{longtable}"," ",0,"ln(ln(x))+ln(x*exp(1)+7*x-2)+2*ln(x+1)","A"
8765,1,35,22,0.135000," ","int(((-2*exp(x)^4-18*exp(x)^3-18*exp(x)^2)*exp(exp(x))^2+(-4*exp(x)^4-72*exp(x)^3-360*exp(x)^2-324*exp(x))*exp(exp(x))+3*x^2*exp(x)^3+81*exp(x)^2*x^2+729*exp(x)*x^2+2187*x^2)/(exp(x)^3+27*exp(x)^2+243*exp(x)+729),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}-\frac{{\mathrm e}^{2 \,{\mathrm e}^{x}+2 x}}{\left(9+{\mathrm e}^{x}\right)^{2}}-\frac{4 \,{\mathrm e}^{{\mathrm e}^{x}+x}}{9+{\mathrm e}^{x}}$&$35$\\ \hline \end{longtable}"," ",0,"x^3-1/(9+exp(x))^2*exp(2*exp(x)+2*x)-4/(9+exp(x))*exp(exp(x)+x)","A"
8766,1,21,14,0.523000," ","int(((exp(2)^2-2*exp(2)*x+x^2)*exp(4)+4*exp(2)^2+(-8*x-1)*exp(2)+4*x^2)/(exp(2)^2-2*exp(2)*x+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{4}+4 x -\frac{{\mathrm e}^{2}}{{\mathrm e}^{2}-x}$&$21$\\ norman&$\frac{\left(-4-{\mathrm e}^{4}\right) x^{2}+\left({\mathrm e}^{4}\right)^{2}+4 \,{\mathrm e}^{4}-{\mathrm e}^{2}}{{\mathrm e}^{2}-x}$&$38$\\ gosper&$\frac{\left({\mathrm e}^{4}\right)^{2}-x^{2} {\mathrm e}^{4}+4 \,{\mathrm e}^{4}-4 x^{2}-{\mathrm e}^{2}}{{\mathrm e}^{2}-x}$&$40$\\ meijerg&$\frac{4 x}{1-x \,{\mathrm e}^{-2}}+\left(-2 \,{\mathrm e}^{6}-8 \,{\mathrm e}^{2}\right) \left(\frac{x \,{\mathrm e}^{-2}}{1-x \,{\mathrm e}^{-2}}+\ln \left(1-x \,{\mathrm e}^{-2}\right)\right)-\left(4+{\mathrm e}^{4}\right) {\mathrm e}^{2} \left(-\frac{x \,{\mathrm e}^{-2} \left(-3 x \,{\mathrm e}^{-2}+6\right)}{3 \left(1-x \,{\mathrm e}^{-2}\right)}-2 \ln \left(1-x \,{\mathrm e}^{-2}\right)\right)+\frac{{\mathrm e}^{4} x}{1-x \,{\mathrm e}^{-2}}-\frac{x \,{\mathrm e}^{-2}}{1-x \,{\mathrm e}^{-2}}$&$113$\\ \hline \end{longtable}"," ",0,"x*exp(4)+4*x-exp(2)/(exp(2)-x)","A"
8767,1,25,22,0.161000," ","int(((5+2*x)*ln(4/x)^3+(6*x^2+15*x)*ln(4/x)^2+(-3*x^2*exp(5)+6*x^3+15*x^2)*ln(4/x)+(-x^3-2*x^2)*exp(5)+2*x^4+5*x^3)/(ln(4/x)^3+3*x*ln(4/x)^2+3*x^2*ln(4/x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+5 x -\frac{{\mathrm e}^{5} x^{3}}{\left(\ln \left(\frac{4}{x}\right)+x \right)^{2}}$&$25$\\ norman&$\frac{x^{4}+x^{2} \ln \left(\frac{4}{x}\right)^{2}+\left(5-{\mathrm e}^{5}\right) x^{3}+5 x \ln \left(\frac{4}{x}\right)^{2}+10 x^{2} \ln \left(\frac{4}{x}\right)+2 x^{3} \ln \left(\frac{4}{x}\right)}{\left(\ln \left(\frac{4}{x}\right)+x \right)^{2}}$&$71$\\ \hline \end{longtable}"," ",0,"x^2+5*x-exp(5)*x^3/(ln(4/x)+x)^2","A"
8768,1,10,9,0.017000," ","int(312500*x^4*ln(x)^2+125000*x^4*ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$62500 x^{5} \ln \left(x \right)^{2}$&$10$\\ norman&$62500 x^{5} \ln \left(x \right)^{2}$&$10$\\ risch&$62500 x^{5} \ln \left(x \right)^{2}$&$10$\\ \hline \end{longtable}"," ",0,"62500*x^5*ln(x)^2","A"
8769,1,15,18,0.012000," ","int(-6*x^5-8*x^3-2*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(x^{5}+2 x^{3}+x -1\right)$&$15$\\ default&$-x^{6}-2 x^{4}-x^{2}+x$&$18$\\ norman&$-x^{6}-2 x^{4}-x^{2}+x$&$18$\\ risch&$-x^{6}-2 x^{4}-x^{2}+x$&$18$\\ \hline \end{longtable}"," ",0,"-x*(x^5+2*x^3+x-1)","A"
8770,0,0,26,0.059000," ","int((((10*exp(x)*x^2+20*x)*ln(x)+(-10*x^5-30*x^2)*exp(x)+10*x^4-70*x)*exp(exp(x))+(-40*x^3+40*x)*ln(x)+10*x^6+20*x^4+130*x^3-140*x)/(ln(x)^2+(-2*x^3-6)*ln(x)+x^6+6*x^3+9),x)","\[\int \frac{\left(\left(10 \,{\mathrm e}^{x} x^{2}+20 x \right) \ln \left(x \right)+\left(-10 x^{5}-30 x^{2}\right) {\mathrm e}^{x}+10 x^{4}-70 x \right) {\mathrm e}^{{\mathrm e}^{x}}+\left(-40 x^{3}+40 x \right) \ln \left(x \right)+10 x^{6}+20 x^{4}+130 x^{3}-140 x}{\ln \left(x \right)^{2}+\left(-2 x^{3}-6\right) \ln \left(x \right)+x^{6}+6 x^{3}+9}\, dx\]"," ",0,"int((((10*exp(x)*x^2+20*x)*ln(x)+(-10*x^5-30*x^2)*exp(x)+10*x^4-70*x)*exp(exp(x))+(-40*x^3+40*x)*ln(x)+10*x^6+20*x^4+130*x^3-140*x)/(ln(x)^2+(-2*x^3-6)*ln(x)+x^6+6*x^3+9),x)","F"
8771,1,38,30,0.111000," ","int(((-x^4+5*x^3+247*x^2-2024*x+4080)*ln((-3*x^3+3*x^2+753*x-3060)/(x-4))^2+2*x^3-13*x^2+8*x-16)/((x^6-5*x^5-247*x^4+2024*x^3-4080*x^2)*ln((-3*x^3+3*x^2+753*x-3060)/(x-4))^2+(2*x^5-10*x^4-494*x^3+4048*x^2-8160*x)*ln((-3*x^3+3*x^2+753*x-3060)/(x-4))+x^4-5*x^3-247*x^2+2024*x-4080),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x}-\frac{1}{x \left(x \ln \left(\frac{-3 x^{3}+3 x^{2}+753 x -3060}{x -4}\right)+1\right)}$&$38$\\ norman&$-\frac{x \ln \left(\frac{-3 x^{3}+3 x^{2}+753 x -3060}{x -4}\right)^{2}}{x \ln \left(\frac{-3 x^{3}+3 x^{2}+753 x -3060}{x -4}\right)+1}-\ln \left(x -4\right)+\ln \left(x^{3}-x^{2}-251 x +1020\right)$&$77$\\ \hline \end{longtable}"," ",0,"1/x-1/x/(x*ln((-3*x^3+3*x^2+753*x-3060)/(x-4))+1)","A"
8772,1,21,24,0.075000," ","int(1/5*((-375*x^2*exp(3*x)+25*x^2+5*x)*exp(-25*exp(3*x)+5*x-50)*exp(x*exp(-25*exp(3*x)+5*x-50))+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{x \,{\mathrm e}^{-25 \,{\mathrm e}^{3 x}+5 x -50}}+\frac{2 \ln \left(x \right)}{5}$&$21$\\ risch&${\mathrm e}^{x \,{\mathrm e}^{-25 \,{\mathrm e}^{3 x}+5 x -50}}+\frac{2 \ln \left(x \right)}{5}$&$21$\\ \hline \end{longtable}"," ",0,"exp(x*exp(-25*exp(3*x)+5*x-50))+2/5*ln(x)","A"
8773,1,19,18,1.076000," ","int((ln(2)*(x-3)+20*x^2-80*x-40)/(x*ln(2)+20*x^2+40*x+80),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -3 \ln \left(80+20 x^{2}+\left(\ln \left(2\right)+40\right) x \right)$&$19$\\ default&$x -3 \ln \left(x \ln \left(2\right)+20 x^{2}+40 x +80\right)$&$20$\\ norman&$x -3 \ln \left(x \ln \left(2\right)+20 x^{2}+40 x +80\right)$&$20$\\ \hline \end{longtable}"," ",0,"x-3*ln(80+20*x^2+(ln(2)+40)*x)","A"
8774,1,22,25,0.065000," ","int(1/64*(-128*x*ln(x)*ln(1/ln(x))^2+(-4*x^4-20*x^2)*ln(x)*ln(1/ln(x))-x^4-10*x^2-25)/x/ln(x)/ln(1/ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x +\frac{x^{4}+10 x^{2}+25}{64 \ln \left(\ln \left(x \right)\right)}$&$22$\\ \hline \end{longtable}"," ",0,"-2*x+1/64*(x^4+10*x^2+25)/ln(ln(x))","A"
8775,1,37,24,0.437000," ","int(((x^2-4*x)*ln(x)^2+(4*x^3-6*x^2-32*x-32)*ln(x)+3*x^4-2*x^3-35*x^2-19*x)/(x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(4+x \right) \ln \left(x \right)^{2}+\left(2 x^{2}+8 x \right) \ln \left(x \right)+x^{3}+4 x^{2}-3 x +\ln \left(x -4\right)$&$37$\\ default&$x \ln \left(x \right)^{2}+8 x \ln \left(x \right)-3 x +x^{3}+4 x^{2}+\ln \left(x -4\right)+2 x^{2} \ln \left(x \right)+4 \ln \left(x \right)^{2}$&$41$\\ norman&$x \ln \left(x \right)^{2}+8 x \ln \left(x \right)-3 x +x^{3}+4 x^{2}+\ln \left(x -4\right)+2 x^{2} \ln \left(x \right)+4 \ln \left(x \right)^{2}$&$41$\\ \hline \end{longtable}"," ",0,"(4+x)*ln(x)^2+(2*x^2+8*x)*ln(x)+x^3+4*x^2-3*x+ln(x-4)","A"
8776,1,61,22,0.182000," ","int(((((4*x^2+2*x)*exp(x)^2+(2*x^3+4*x^2+x)*exp(x))*ln(x)^2+(x^2+x)*exp(x)*ln(x)-exp(x)*x)*ln(25*x)+(2*x*exp(x)^2+(2*x^2+1)*exp(x))*ln(x)^2+x*exp(x)*ln(x))/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(2 \,{\mathrm e}^{x} x^{2}+2 x \,{\mathrm e}^{2 x}+{\mathrm e}^{x}\right) \ln \left(x \right)+4 x \ln \left(5\right) {\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} \ln \left(5\right)+{\mathrm e}^{x} x +4 x^{2} \ln \left(5\right) {\mathrm e}^{x}+\frac{2 x \,{\mathrm e}^{x} \ln \left(5\right)}{\ln \left(x \right)}$&$61$\\ \hline \end{longtable}"," ",0,"(2*exp(x)*x^2+2*x*exp(2*x)+exp(x))*ln(x)+4*x*ln(5)*exp(2*x)+2*exp(x)*ln(5)+exp(x)*x+4*x^2*ln(5)*exp(x)+2*x*exp(x)*ln(5)/ln(x)","B"
8777,1,28,22,0.060000," ","int(-40*exp(x+1)^2+(40*x+240)*exp(x+1)-40*x-180,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-20 \,{\mathrm e}^{2 x +2}+\left(200+40 x \right) {\mathrm e}^{x +1}-20 x^{2}-180 x$&$28$\\ norman&$-180 x -20 x^{2}-20 \,{\mathrm e}^{2 x +2}+40 x \,{\mathrm e}^{x +1}+200 \,{\mathrm e}^{x +1}$&$31$\\ default&$-180 x +40 \,{\mathrm e}^{x +1} \left(x +1\right)+160 \,{\mathrm e}^{x +1}-20 x^{2}-20 \,{\mathrm e}^{2 x +2}$&$33$\\ derivativedivides&$-140 x -140+40 \,{\mathrm e}^{x +1} \left(x +1\right)+160 \,{\mathrm e}^{x +1}-20 \left(x +1\right)^{2}-20 \,{\mathrm e}^{2 x +2}$&$36$\\ \hline \end{longtable}"," ",0,"-20*exp(2*x+2)+(200+40*x)*exp(x+1)-20*x^2-180*x","A"
8778,0,0,23,0.055000," ","int((((-72*x^2-144)*exp(x)-72*x^3-144*x)*ln(exp(x)^2+exp(x)*x)-288*exp(x)*x-144*x^2-144*x)/((80*exp(x)*x+80*x^2)*ln(exp(x)^2+exp(x)*x)*ln(x*ln(exp(x)^2+exp(x)*x))^2+(40*exp(x)*x^3+40*x^4)*ln(exp(x)^2+exp(x)*x)*ln(x*ln(exp(x)^2+exp(x)*x))+(5*x^5*exp(x)+5*x^6)*ln(exp(x)^2+exp(x)*x)),x)","\[\int \frac{\left(\left(-72 x^{2}-144\right) {\mathrm e}^{x}-72 x^{3}-144 x \right) \ln \left({\mathrm e}^{x} x +{\mathrm e}^{2 x}\right)-288 \,{\mathrm e}^{x} x -144 x^{2}-144 x}{\left(80 \,{\mathrm e}^{x} x +80 x^{2}\right) \ln \left({\mathrm e}^{x} x +{\mathrm e}^{2 x}\right) \ln \left(x \ln \left({\mathrm e}^{x} x +{\mathrm e}^{2 x}\right)\right)^{2}+\left(40 \,{\mathrm e}^{x} x^{3}+40 x^{4}\right) \ln \left({\mathrm e}^{x} x +{\mathrm e}^{2 x}\right) \ln \left(x \ln \left({\mathrm e}^{x} x +{\mathrm e}^{2 x}\right)\right)+\left(5 x^{5} {\mathrm e}^{x}+5 x^{6}\right) \ln \left({\mathrm e}^{x} x +{\mathrm e}^{2 x}\right)}\, dx\]"," ",0,"int((((-72*x^2-144)*exp(x)-72*x^3-144*x)*ln(exp(x)^2+exp(x)*x)-288*exp(x)*x-144*x^2-144*x)/((80*exp(x)*x+80*x^2)*ln(exp(x)^2+exp(x)*x)*ln(x*ln(exp(x)^2+exp(x)*x))^2+(40*exp(x)*x^3+40*x^4)*ln(exp(x)^2+exp(x)*x)*ln(x*ln(exp(x)^2+exp(x)*x))+(5*x^5*exp(x)+5*x^6)*ln(exp(x)^2+exp(x)*x)),x)","F"
8779,1,16,16,0.038000," ","int(1/5*(-exp(43/16)-2*x)*exp(3)*exp(1/5*(-x*exp(43/16)-x^2)*exp(3)-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x \,{\mathrm e}^{\frac{91}{16}}}{5}-\frac{x^{2} {\mathrm e}^{3}}{5}-2}$&$16$\\ gosper&${\mathrm e}^{-\frac{{\mathrm e}^{3} {\mathrm e}^{\frac{43}{16}} x}{5}-\frac{x^{2} {\mathrm e}^{3}}{5}-2}$&$18$\\ derivativedivides&${\mathrm e}^{\frac{\left(-x \,{\mathrm e}^{\frac{43}{16}}-x^{2}\right) {\mathrm e}^{3}}{5}-2}$&$19$\\ default&${\mathrm e}^{\frac{\left(-x \,{\mathrm e}^{\frac{43}{16}}-x^{2}\right) {\mathrm e}^{3}}{5}-2}$&$19$\\ norman&${\mathrm e}^{\frac{\left(-x \,{\mathrm e}^{\frac{43}{16}}-x^{2}\right) {\mathrm e}^{3}}{5}-2}$&$19$\\ \hline \end{longtable}"," ",0,"exp(-1/5*x*exp(91/16)-1/5*x^2*exp(3)-2)","A"
8780,1,21,21,0.131000," ","int(((3*x-10)*ln(10*ln(3)/(3*x-10))+9*x^3-30*x^2-3*x)/((3*x^2-10*x)*ln(10*ln(3)/(3*x-10))+3*x^4-10*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)+\ln \left(x^{2}+\ln \left(\frac{10 \ln \left(3\right)}{3 x -10}\right)\right)$&$21$\\ risch&$\ln \left(x \right)+\ln \left(x^{2}+\ln \left(\frac{10 \ln \left(3\right)}{3 x -10}\right)\right)$&$21$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(x^2+ln(10*ln(3)/(3*x-10)))","A"
8781,1,15,14,0.079000," ","int(1/11*(11*exp(2+x)-11*exp(x)-71)*exp(exp(2+x)-exp(x)-71/11*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{2+x}-{\mathrm e}^{x}-\frac{71 x}{11}+4}$&$15$\\ norman&${\mathrm e}^{{\mathrm e}^{2} {\mathrm e}^{x}-{\mathrm e}^{x}-\frac{71 x}{11}+4}$&$16$\\ \hline \end{longtable}"," ",0,"exp(exp(2+x)-exp(x)-71/11*x+4)","A"
8782,1,23,22,0.416000," ","int(((5+x)*ln(5+x)^2+(-4*x^4-20*x^3+3*x+15)*exp(-x^4+3*x-4)*ln(5+x)-exp(-x^4+3*x-4)+1)/(5+x)/ln(5+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-x^{4}+3 x -4}-1}{\ln \left(5+x \right)}+x$&$23$\\ \hline \end{longtable}"," ",0,"(exp(-x^4+3*x-4)-1)/ln(5+x)+x","A"
8783,1,24,21,0.054000," ","int(((-2*x^2-4*x)*ln(3)^2*exp((x^2+4*x+4)*ln(3)^2+2)+4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-{\mathrm e}^{\left(x^{2}+4 x +4\right) \ln \left(3\right)^{2}+2}+4 \ln \left(x \right)$&$24$\\ default&$4 \ln \left(x \right)-{\mathrm e}^{x^{2} \ln \left(3\right)^{2}+4 x \ln \left(3\right)^{2}+4 \ln \left(3\right)^{2}+2}$&$32$\\ risch&$4 \ln \left(x \right)-{\mathrm e}^{x^{2} \ln \left(3\right)^{2}+4 x \ln \left(3\right)^{2}+4 \ln \left(3\right)^{2}+2}$&$32$\\ \hline \end{longtable}"," ",0,"-exp((x^2+4*x+4)*ln(3)^2+2)+4*ln(x)","A"
8784,1,20,18,0.040000," ","int(((-4*x^4-60*x^3+x^2)*exp(ln(x)-2*x^2-60*x-3)+8)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{4}{x^{2}}+x \,{\mathrm e}^{-2 x^{2}-60 x -3}$&$20$\\ risch&$-\frac{4}{x^{2}}+x \,{\mathrm e}^{-2 x^{2}-60 x -3}$&$20$\\ norman&$\frac{-4+x^{2} {\mathrm e}^{\ln \left(x \right)-2 x^{2}-60 x -3}}{x^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"-4/x^2+x*exp(-2*x^2-60*x-3)","A"
8785,1,53,23,0.068000," ","int(1/2*(-200*ln(2)^2+2*(-5*x^3-20*x^2+30*x)*ln(2)+8*x^8+6*x^7+9*x^6-2*x^5+4*x^3-4*x^2)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{7}+x^{8}+\left(5 \ln \left(2\right)-2\right) x^{3}+\left(10 \ln \left(2\right)+1\right) x^{2}-x^{5}+\frac{9 x^{6}}{4}+25 \ln \left(2\right)^{2}-10 x \ln \left(2\right)}{x^{4}}$&$53$\\ risch&$x^{4}+x^{3}+\frac{9 x^{2}}{4}-x +\frac{\left(10 \ln \left(2\right)-4\right) x^{3}+\left(2+20 \ln \left(2\right)\right) x^{2}-20 x \ln \left(2\right)+50 \ln \left(2\right)^{2}}{2 x^{4}}$&$53$\\ default&$x^{4}+x^{3}+\frac{9 x^{2}}{4}-x +\frac{25 \ln \left(2\right)^{2}}{x^{4}}-\frac{-40 \ln \left(2\right)-4}{4 x^{2}}-\frac{-10 \ln \left(2\right)+4}{2 x}-\frac{10 \ln \left(2\right)}{x^{3}}$&$54$\\ gosper&$\frac{4 x^{8}+4 x^{7}+9 x^{6}-4 x^{5}+20 x^{3} \ln \left(2\right)+40 x^{2} \ln \left(2\right)-8 x^{3}+100 \ln \left(2\right)^{2}-40 x \ln \left(2\right)+4 x^{2}}{4 x^{4}}$&$62$\\ \hline \end{longtable}"," ",0,"(x^7+x^8+(5*ln(2)-2)*x^3+(10*ln(2)+1)*x^2-x^5+9/4*x^6+25*ln(2)^2-10*x*ln(2))/x^4","B"
8786,1,53,25,0.061000," ","int((((12*x^2+32*x)*ln(x)-16*x^3-44*x^2+16*x)*exp((x^3+4*x^2)*ln(x)-x^4-4*x^3)^2+((12*x^3+32*x^2)*ln(x)-16*x^4-44*x^3+16*x^2+4)*exp((x^3+4*x^2)*ln(x)-x^4-4*x^3)+4*x)/(exp((x^3+4*x^2)*ln(x)-x^4-4*x^3)^2+2*x*exp((x^3+4*x^2)*ln(x)-x^4-4*x^3)+x^2+5)/ln(exp((x^3+4*x^2)*ln(x)-x^4-4*x^3)^2+2*x*exp((x^3+4*x^2)*ln(x)-x^4-4*x^3)+x^2+5)/ln(ln(exp((x^3+4*x^2)*ln(x)-x^4-4*x^3)^2+2*x*exp((x^3+4*x^2)*ln(x)-x^4-4*x^3)+x^2+5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(\ln \left(\ln \left(x^{2 x^{2} \left(4+x \right)} {\mathrm e}^{-2 x^{3} \left(4+x \right)}+2 x \,x^{x^{2} \left(4+x \right)} {\mathrm e}^{-x^{3} \left(4+x \right)}+x^{2}+5\right)\right)\right)$&$53$\\ \hline \end{longtable}"," ",0,"2*ln(ln(ln((x^(x^2*(4+x)))^2*exp(-2*x^3*(4+x))+2*x*x^(x^2*(4+x))*exp(-x^3*(4+x))+x^2+5)))","B"
8787,1,1587,24,45.916000," ","int(((524288*ln(x)^3-1572864*x*ln(x)^2+1572864*x^2*ln(x)-524288*x^3)*ln(x^2)^3+2*x^2*ln(x)^3+(-6*x^3-4*x^2)*ln(x)^2+(6*x^4+6*x^3+4*x^2)*ln(x)-2*x^5-2*x^4-2*x^3-2*x^2)/((65536*x*ln(x)^3-196608*x^2*ln(x)^2+196608*x^3*ln(x)-65536*x^4)*ln(x^2)^4+x^3*ln(x)^3+(-3*x^4-2*x^3)*ln(x)^2+(3*x^5+4*x^4+x^3)*ln(x)-x^6-2*x^5-x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(\ln \left(x \right)-x \right)+\ln \left(\ln \left(x \right)^{6}+\left(-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-2 x \right) \ln \left(x \right)^{5}+\left(2 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-4 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\frac{3 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}}{8}-\frac{3 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{4}}{8}+\frac{3 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)^{3}}{2}-\frac{9 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}}{4}+\frac{3 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{5} \mathrm{csgn}\left(i x \right)}{2}+2 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}+x^{2}\right) \ln \left(x \right)^{4}+\left(-i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\frac{i \pi^{3} \mathrm{csgn}\left(i x^{2}\right)^{9}}{16}+\frac{3 x \,\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}}{4}+\frac{15 i \pi^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{7}}{16}-\frac{3 i \pi^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{8}}{8}-i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}+\frac{3 x \,\pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}}{4}-3 x \,\pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}+\frac{9 x \,\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}}{2}-3 x \,\pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}+\frac{i \pi^{3} \mathrm{csgn}\left(i x \right)^{6} \mathrm{csgn}\left(i x^{2}\right)^{3}}{16}-\frac{3 i \pi^{3} \mathrm{csgn}\left(i x \right)^{5} \mathrm{csgn}\left(i x^{2}\right)^{4}}{8}+\frac{15 i \pi^{3} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{5}}{16}-\frac{5 i \pi^{3} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{6}}{4}\right) \ln \left(x \right)^{3}+\left(\frac{5 i \pi^{3} x \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{6}}{2}+\frac{3 i \pi^{3} x \mathrm{csgn}\left(i x \right)^{5} \mathrm{csgn}\left(i x^{2}\right)^{4}}{4}-\frac{15 i \pi^{3} x \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{5}}{8}+\frac{3 i \pi^{3} x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{8}}{4}-\frac{15 i \pi^{3} x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{7}}{8}-\frac{i \pi^{3} x \mathrm{csgn}\left(i x^{2}\right)^{9}}{8}+\frac{\pi^{4} \mathrm{csgn}\left(i x^{2}\right)^{12}}{256}-\frac{\pi^{4} \mathrm{csgn}\left(i x \right)^{7} \mathrm{csgn}\left(i x^{2}\right)^{5}}{32}+\frac{7 \pi^{4} \mathrm{csgn}\left(i x \right)^{6} \mathrm{csgn}\left(i x^{2}\right)^{6}}{64}-\frac{\pi^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{11}}{32}+\frac{\pi^{4} \mathrm{csgn}\left(i x \right)^{8} \mathrm{csgn}\left(i x^{2}\right)^{4}}{256}-\frac{7 \pi^{4} \mathrm{csgn}\left(i x \right)^{5} \mathrm{csgn}\left(i x^{2}\right)^{7}}{32}+\frac{35 \pi^{4} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{8}}{128}-\frac{7 \pi^{4} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{9}}{32}+\frac{7 \pi^{4} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{10}}{64}-\frac{3 \pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}}{8}-\frac{3 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}}{8}+\frac{3 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-\frac{9 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}}{4}+\frac{3 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}}{2}-\frac{i \pi^{3} x \mathrm{csgn}\left(i x \right)^{6} \mathrm{csgn}\left(i x^{2}\right)^{3}}{8}+\frac{x^{2}}{1048576}\right) \ln \left(x \right)^{2}+\left(\frac{i \pi^{3} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{9}}{16}+\frac{15 i \pi^{3} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{7}}{16}-\frac{3 i \pi^{3} x^{2} \mathrm{csgn}\left(i x \right)^{5} \mathrm{csgn}\left(i x^{2}\right)^{4}}{8}+\frac{15 i \pi^{3} x^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{5}}{16}+\frac{i \pi^{3} x^{2} \mathrm{csgn}\left(i x \right)^{6} \mathrm{csgn}\left(i x^{2}\right)^{3}}{16}-\frac{3 i \pi^{3} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{8}}{8}-\frac{x \,\pi^{4} \mathrm{csgn}\left(i x^{2}\right)^{12}}{128}-\frac{5 i \pi^{3} x^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{6}}{4}-\frac{x \,\pi^{4} \mathrm{csgn}\left(i x \right)^{8} \mathrm{csgn}\left(i x^{2}\right)^{4}}{128}+\frac{x \,\pi^{4} \mathrm{csgn}\left(i x \right)^{7} \mathrm{csgn}\left(i x^{2}\right)^{5}}{16}-\frac{7 x \,\pi^{4} \mathrm{csgn}\left(i x \right)^{6} \mathrm{csgn}\left(i x^{2}\right)^{6}}{32}+\frac{7 x \,\pi^{4} \mathrm{csgn}\left(i x \right)^{5} \mathrm{csgn}\left(i x^{2}\right)^{7}}{16}-\frac{35 x \,\pi^{4} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{8}}{64}+\frac{7 x \,\pi^{4} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{9}}{16}-\frac{7 x \,\pi^{4} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{10}}{32}+\frac{x \,\pi^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{11}}{16}-\frac{x^{2}}{524288}-\frac{x^{3}}{524288}\right) \ln \left(x \right)+\frac{x^{4}}{1048576}+\frac{x^{3}}{524288}+\frac{x^{2}}{1048576}+\frac{7 x^{2} \pi^{4} \mathrm{csgn}\left(i x \right)^{6} \mathrm{csgn}\left(i x^{2}\right)^{6}}{64}-\frac{7 x^{2} \pi^{4} \mathrm{csgn}\left(i x \right)^{5} \mathrm{csgn}\left(i x^{2}\right)^{7}}{32}+\frac{35 x^{2} \pi^{4} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{8}}{128}-\frac{7 x^{2} \pi^{4} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{9}}{32}+\frac{7 x^{2} \pi^{4} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{10}}{64}-\frac{x^{2} \pi^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{11}}{32}-\frac{x^{2} \pi^{4} \mathrm{csgn}\left(i x \right)^{7} \mathrm{csgn}\left(i x^{2}\right)^{5}}{32}+\frac{x^{2} \pi^{4} \mathrm{csgn}\left(i x \right)^{8} \mathrm{csgn}\left(i x^{2}\right)^{4}}{256}+\frac{x^{2} \pi^{4} \mathrm{csgn}\left(i x^{2}\right)^{12}}{256}\right)$&$1587$\\ \hline \end{longtable}"," ",0,"-2*ln(ln(x)-x)+ln(ln(x)^6+(-I*Pi*csgn(I*x^2)^3-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-2*x)*ln(x)^5+(2*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)-4*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2-3/8*Pi^2*csgn(I*x^2)^6-3/8*Pi^2*csgn(I*x^2)^2*csgn(I*x)^4+3/2*Pi^2*csgn(I*x^2)^3*csgn(I*x)^3-9/4*Pi^2*csgn(I*x^2)^4*csgn(I*x)^2+3/2*Pi^2*csgn(I*x^2)^5*csgn(I*x)+2*I*Pi*x*csgn(I*x^2)^3+x^2)*ln(x)^4+(-I*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2+1/16*I*Pi^3*csgn(I*x^2)^9+3/4*x*Pi^2*csgn(I*x^2)^6+15/16*I*Pi^3*csgn(I*x)^2*csgn(I*x^2)^7-3/8*I*Pi^3*csgn(I*x)*csgn(I*x^2)^8-I*Pi*x^2*csgn(I*x^2)^3+3/4*x*Pi^2*csgn(I*x)^4*csgn(I*x^2)^2-3*x*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3+9/2*x*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4-3*x*Pi^2*csgn(I*x)*csgn(I*x^2)^5+1/16*I*Pi^3*csgn(I*x)^6*csgn(I*x^2)^3-3/8*I*Pi^3*csgn(I*x)^5*csgn(I*x^2)^4+15/16*I*Pi^3*csgn(I*x)^4*csgn(I*x^2)^5-5/4*I*Pi^3*csgn(I*x)^3*csgn(I*x^2)^6)*ln(x)^3+(5/2*I*Pi^3*x*csgn(I*x)^3*csgn(I*x^2)^6+3/4*I*Pi^3*x*csgn(I*x)^5*csgn(I*x^2)^4-15/8*I*Pi^3*x*csgn(I*x)^4*csgn(I*x^2)^5+3/4*I*Pi^3*x*csgn(I*x)*csgn(I*x^2)^8-15/8*I*Pi^3*x*csgn(I*x)^2*csgn(I*x^2)^7-1/8*I*Pi^3*x*csgn(I*x^2)^9+1/256*Pi^4*csgn(I*x^2)^12-1/32*Pi^4*csgn(I*x)^7*csgn(I*x^2)^5+7/64*Pi^4*csgn(I*x)^6*csgn(I*x^2)^6-1/32*Pi^4*csgn(I*x)*csgn(I*x^2)^11+1/256*Pi^4*csgn(I*x)^8*csgn(I*x^2)^4-7/32*Pi^4*csgn(I*x)^5*csgn(I*x^2)^7+35/128*Pi^4*csgn(I*x)^4*csgn(I*x^2)^8-7/32*Pi^4*csgn(I*x)^3*csgn(I*x^2)^9+7/64*Pi^4*csgn(I*x)^2*csgn(I*x^2)^10-3/8*Pi^2*x^2*csgn(I*x^2)^6-3/8*Pi^2*x^2*csgn(I*x)^4*csgn(I*x^2)^2+3/2*Pi^2*x^2*csgn(I*x)^3*csgn(I*x^2)^3-9/4*Pi^2*x^2*csgn(I*x)^2*csgn(I*x^2)^4+3/2*Pi^2*x^2*csgn(I*x)*csgn(I*x^2)^5-1/8*I*Pi^3*x*csgn(I*x)^6*csgn(I*x^2)^3+1/1048576*x^2)*ln(x)^2+(1/16*I*Pi^3*x^2*csgn(I*x^2)^9+15/16*I*Pi^3*x^2*csgn(I*x)^2*csgn(I*x^2)^7-3/8*I*Pi^3*x^2*csgn(I*x)^5*csgn(I*x^2)^4+15/16*I*Pi^3*x^2*csgn(I*x)^4*csgn(I*x^2)^5+1/16*I*Pi^3*x^2*csgn(I*x)^6*csgn(I*x^2)^3-3/8*I*Pi^3*x^2*csgn(I*x)*csgn(I*x^2)^8-1/128*x*Pi^4*csgn(I*x^2)^12-5/4*I*Pi^3*x^2*csgn(I*x)^3*csgn(I*x^2)^6-1/128*x*Pi^4*csgn(I*x)^8*csgn(I*x^2)^4+1/16*x*Pi^4*csgn(I*x)^7*csgn(I*x^2)^5-7/32*x*Pi^4*csgn(I*x)^6*csgn(I*x^2)^6+7/16*x*Pi^4*csgn(I*x)^5*csgn(I*x^2)^7-35/64*x*Pi^4*csgn(I*x)^4*csgn(I*x^2)^8+7/16*x*Pi^4*csgn(I*x)^3*csgn(I*x^2)^9-7/32*x*Pi^4*csgn(I*x)^2*csgn(I*x^2)^10+1/16*x*Pi^4*csgn(I*x)*csgn(I*x^2)^11-1/524288*x^2-1/524288*x^3)*ln(x)+1/1048576*x^4+1/524288*x^3+1/1048576*x^2+7/64*x^2*Pi^4*csgn(I*x)^6*csgn(I*x^2)^6-7/32*x^2*Pi^4*csgn(I*x)^5*csgn(I*x^2)^7+35/128*x^2*Pi^4*csgn(I*x)^4*csgn(I*x^2)^8-7/32*x^2*Pi^4*csgn(I*x)^3*csgn(I*x^2)^9+7/64*x^2*Pi^4*csgn(I*x)^2*csgn(I*x^2)^10-1/32*x^2*Pi^4*csgn(I*x)*csgn(I*x^2)^11-1/32*x^2*Pi^4*csgn(I*x)^7*csgn(I*x^2)^5+1/256*x^2*Pi^4*csgn(I*x)^8*csgn(I*x^2)^4+1/256*x^2*Pi^4*csgn(I*x^2)^12)","C"
8788,1,25,24,0.919000," ","int((2*exp(2)-2*x-6)/(5*exp(2)^2+(-2*x-30)*exp(2)+x^2+6*x+45),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x^{2}+\left(-2 \,{\mathrm e}^{2}+6\right) x +5 \,{\mathrm e}^{4}-30 \,{\mathrm e}^{2}+45\right)$&$25$\\ default&$-\ln \left(5 \,{\mathrm e}^{4}-2 \,{\mathrm e}^{2} x +x^{2}-30 \,{\mathrm e}^{2}+6 x +45\right)$&$27$\\ norman&$-\ln \left(5 \,{\mathrm e}^{4}-2 \,{\mathrm e}^{2} x +x^{2}-30 \,{\mathrm e}^{2}+6 x +45\right)$&$27$\\ \hline \end{longtable}"," ",0,"-ln(x^2+(-2*exp(2)+6)*x+5*exp(4)-30*exp(2)+45)","A"
8789,1,28,19,0.065000," ","int((exp(exp(2*exp(5)))^2+x*ln(x)+2*x*exp(3)+x)*exp((ln(x)+2*exp(3))*exp(exp(2*exp(5)))^2+x*ln(x)+2*x*exp(3))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\left(\ln \left(x \right)+2 \,{\mathrm e}^{3}\right) {\mathrm e}^{2 \,{\mathrm e}^{2 \,{\mathrm e}^{5}}}+x \ln \left(x \right)+2 x \,{\mathrm e}^{3}}$&$28$\\ risch&$x^{x} x^{{\mathrm e}^{2 \,{\mathrm e}^{2 \,{\mathrm e}^{5}}}} {\mathrm e}^{2 \,{\mathrm e}^{2 \,{\mathrm e}^{2 \,{\mathrm e}^{5}}+3}+2 x \,{\mathrm e}^{3}}$&$34$\\ \hline \end{longtable}"," ",0,"exp((ln(x)+2*exp(3))*exp(exp(2*exp(5)))^2+x*ln(x)+2*x*exp(3))","A"
8790,1,14,12,0.037000," ","int(((x*ln(x)+x)*ln(ln(x)+1)+(1-2*x)*ln(x)-x+1)/(x*ln(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)+\ln \left(\ln \left(x \right)+1\right) x -2 x$&$14$\\ risch&$\ln \left(x \right)+\ln \left(\ln \left(x \right)+1\right) x -2 x$&$14$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(ln(x)+1)*x-2*x","A"
8791,1,22,24,0.189000," ","int(((-9*x^3-81*x^2-171*x-243)*exp(2/(x^2+6*x+9))^2-20*x^4-189*x^3-621*x^2-783*x-243)/((9*x^4+81*x^3+243*x^2+243*x)*exp(2/(x^2+6*x+9))^2+10*x^5+99*x^4+351*x^3+513*x^2+243*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)-\ln \left({\mathrm e}^{\frac{4}{\left(3+x \right)^{2}}}+\frac{10 x}{9}+1\right)$&$22$\\ norman&$-\ln \left(x \right)-\ln \left(9 \,{\mathrm e}^{\frac{4}{x^{2}+6 x +9}}+10 x +9\right)$&$31$\\ \hline \end{longtable}"," ",0,"-ln(x)-ln(exp(4/(3+x)^2)+10/9*x+1)","A"
8792,1,14,22,0.058000," ","int(((1-x)*exp(x/exp(x+1))-9*exp(x+1))/exp(x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-9 x +{\mathrm e}^{x \,{\mathrm e}^{-x -1}}$&$14$\\ norman&$\left({\mathrm e}^{x +1} {\mathrm e}^{x \,{\mathrm e}^{-x -1}}-9 x \,{\mathrm e}^{x +1}\right) {\mathrm e}^{-x -1}$&$30$\\ \hline \end{longtable}"," ",0,"-9*x+exp(x*exp(-x-1))","A"
8793,1,115,29,0.478000," ","int((((4*ln(2)^2+2*x*ln(2))*ln(1/4*x)+4*ln(2)^2+2*x*ln(2))*ln(4*ln(2)^2+4*x*ln(2)+x^2)+((4*x^2*ln(2)^2+2*x^3*ln(2))*exp(x)+4*ln(2)^2-2*x*ln(2))*ln(1/4*x)+(-4*x*ln(2)^2-2*x^2*ln(2))*exp(x)+4*ln(2)^2+2*x*ln(2))/(2*x^2*ln(2)+x^3)/ln(1/4*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \ln \left(2\right) \ln \left(\ln \left(2\right)+\frac{x}{2}\right)}{x \ln \left(\frac{x}{4}\right)}+\frac{\ln \left(2\right) \left(i \pi  \mathrm{csgn}\left(i \left(\ln \left(2\right)+\frac{x}{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(2\right)+\frac{x}{2}\right)^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(2\right)+\frac{x}{2}\right)\right) \mathrm{csgn}\left(i \left(\ln \left(2\right)+\frac{x}{2}\right)^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i \left(\ln \left(2\right)+\frac{x}{2}\right)^{2}\right)^{3}+2 \,{\mathrm e}^{x} x -2\right)}{x \ln \left(\frac{x}{4}\right)}$&$115$\\ \hline \end{longtable}"," ",0,"-4*ln(2)/x/ln(1/4*x)*ln(ln(2)+1/2*x)+1/x*ln(2)*(I*Pi*csgn(I*(ln(2)+1/2*x))^2*csgn(I*(ln(2)+1/2*x)^2)-2*I*Pi*csgn(I*(ln(2)+1/2*x))*csgn(I*(ln(2)+1/2*x)^2)^2+I*Pi*csgn(I*(ln(2)+1/2*x)^2)^3+2*exp(x)*x-2)/ln(1/4*x)","C"
8794,1,56,27,0.114000," ","int(1/2*((x-1)*exp(1/2*x+1/2)^2+(-2*x^2-3*x+6)*exp(1/2*x+1/2)+5*ln(2)^2+4*x^2-9)/x^2/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{\ln \left(2\right)^{2}}-\frac{5}{2 x}+\frac{9}{2 \ln \left(2\right)^{2} x}+\frac{{\mathrm e}^{x +1}}{2 \ln \left(2\right)^{2} x}-\frac{\left(2 x +3\right) {\mathrm e}^{\frac{x}{2}+\frac{1}{2}}}{\ln \left(2\right)^{2} x}$&$56$\\ derivativedivides&$\frac{\frac{9}{2 x}+2 x +2-\frac{3 \,{\mathrm e}^{\frac{x}{2}+\frac{1}{2}}}{x}+\frac{{\mathrm e}^{x +1}}{2 x}-\frac{5 \ln \left(2\right)^{2}}{2 x}-2 \,{\mathrm e}^{\frac{x}{2}+\frac{1}{2}}}{\ln \left(2\right)^{2}}$&$57$\\ default&$\frac{\frac{9}{x}+4 x +4-\frac{6 \,{\mathrm e}^{\frac{x}{2}+\frac{1}{2}}}{x}+\frac{{\mathrm e}^{x +1}}{x}-\frac{5 \ln \left(2\right)^{2}}{x}-4 \,{\mathrm e}^{\frac{x}{2}+\frac{1}{2}}}{2 \ln \left(2\right)^{2}}$&$57$\\ norman&$\frac{\frac{2 x^{2}}{\ln \left(2\right)}-\frac{5 \ln \left(2\right)^{2}-9}{2 \ln \left(2\right)}-\frac{3 \,{\mathrm e}^{\frac{x}{2}+\frac{1}{2}}}{\ln \left(2\right)}+\frac{{\mathrm e}^{x +1}}{2 \ln \left(2\right)}-\frac{2 x \,{\mathrm e}^{\frac{x}{2}+\frac{1}{2}}}{\ln \left(2\right)}}{x \ln \left(2\right)}$&$72$\\ \hline \end{longtable}"," ",0,"2*x/ln(2)^2-5/2/x+9/2/ln(2)^2/x+1/2/ln(2)^2*exp(x+1)/x-1/ln(2)^2*(2*x+3)/x*exp(1/2*x+1/2)","B"
8795,1,66,21,1.335000," ","int(10*x/(512*x^3*ln(-1/4*exp(1))^6+(-192*x^3+960*x^2)*ln(-1/4*exp(1))^4+(24*x^3-240*x^2+600*x)*ln(-1/4*exp(1))^2-x^3+15*x^2-75*x+125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{10}{\left(8 \ln \left(-\frac{{\mathrm e}}{4}\right)^{2}-1\right)^{2} \left(8 x \ln \left(-\frac{{\mathrm e}}{4}\right)^{2}+5-x \right)}+\frac{25}{\left(8 \ln \left(-\frac{{\mathrm e}}{4}\right)^{2}-1\right)^{2} \left(8 x \ln \left(-\frac{{\mathrm e}}{4}\right)^{2}+5-x \right)^{2}}$&$66$\\ gosper&$-\frac{5 \left(16 x \ln \left(-\frac{{\mathrm e}}{4}\right)^{2}-2 x +5\right)}{\left(64 \ln \left(-\frac{{\mathrm e}}{4}\right)^{4} x^{2}-16 \ln \left(-\frac{{\mathrm e}}{4}\right)^{2} x^{2}+80 x \ln \left(-\frac{{\mathrm e}}{4}\right)^{2}+x^{2}-10 x +25\right) \left(8 \ln \left(-\frac{{\mathrm e}}{4}\right)^{2}-1\right)^{2}}$&$75$\\ risch&$\frac{\frac{10 x}{-448+2048 \ln \left(2\right)-1024 i \pi -2048 \ln \left(2\right)^{2}+2048 i \ln \left(2\right) \pi +512 \pi^{2}}-\frac{25}{64 \left(-7+32 \ln \left(2\right)-16 i \pi -32 \ln \left(2\right)^{2}+32 i \ln \left(2\right) \pi +8 \pi^{2}\right)^{2}}}{-5 i \pi  \ln \left(2\right) x +\frac{5 i \pi  x}{2}+\pi^{4} x^{2}-23 i \pi  \ln \left(2\right) x^{2}-24 \pi^{2} \ln \left(2\right)^{2} x^{2}-32 i \pi  \ln \left(2\right)^{3} x^{2}+16 x^{2} \ln \left(2\right)^{4}+24 \pi^{2} \ln \left(2\right) x^{2}+48 i \pi  \ln \left(2\right)^{2} x^{2}-32 x^{2} \ln \left(2\right)^{3}-\frac{23 \pi^{2} x^{2}}{4}+\frac{7 i \pi  \,x^{2}}{2}+8 i \pi^{3} \ln \left(2\right) x^{2}+23 x^{2} \ln \left(2\right)^{2}-\frac{5 x \,\pi^{2}}{4}-4 i \pi^{3} x^{2}+5 x \ln \left(2\right)^{2}-7 x^{2} \ln \left(2\right)-5 x \ln \left(2\right)+\frac{49 x^{2}}{64}+\frac{35 x}{32}+\frac{25}{64}}$&$238$\\ \hline \end{longtable}"," ",0,"-10/(8*ln(-1/4*exp(1))^2-1)^2/(8*x*ln(-1/4*exp(1))^2+5-x)+25/(8*ln(-1/4*exp(1))^2-1)^2/(8*x*ln(-1/4*exp(1))^2+5-x)^2","B"
8796,1,55,27,0.084000," ","int(((-4*x^2-14*x-1)*exp(-x^2-7*x-16)^2+(-4*x^4-22*x^3-22*x^2+14*x+2)*exp(-x^2-7*x-16)+3*x^4+8*x^3+3*x^2-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2}+3 x +\frac{1}{x}+x^{3}+\frac{{\mathrm e}^{-2 x^{2}-14 x -32}}{x}+\frac{2 \left(x^{2}+2 x -1\right) {\mathrm e}^{-x^{2}-7 x -16}}{x}$&$55$\\ norman&$\frac{1+x^{4}+{\mathrm e}^{-2 x^{2}-14 x -32}+3 x^{2}+4 x^{3}+4 \,{\mathrm e}^{-x^{2}-7 x -16} x +2 \,{\mathrm e}^{-x^{2}-7 x -16} x^{2}-2 \,{\mathrm e}^{-x^{2}-7 x -16}}{x}$&$76$\\ \hline \end{longtable}"," ",0,"4*x^2+3*x+1/x+x^3+exp(-2*x^2-14*x-32)/x+2*(x^2+2*x-1)/x*exp(-x^2-7*x-16)","A"
8797,1,52,25,0.432000," ","int(((8*x^2+4*x-60)*ln((3+x)*ln(5)^2)+(5*x-5)*exp(2)-3*x^3+21*x^2+8*x-110)/(5*x+15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{4}{5} x^{2}-4 x \right) \ln \left(\left(3+x \right) \ln \left(5\right)^{2}\right)-\frac{x^{3}}{5}+{\mathrm e}^{2} x +\frac{13 x^{2}}{5}-10 x -4 \ln \left(3+x \right) {\mathrm e}^{2}+8 \ln \left(3+x \right)$&$52$\\ norman&$\left(-10+{\mathrm e}^{2}\right) x +\left(8-4 \,{\mathrm e}^{2}\right) \ln \left(\left(3+x \right) \ln \left(5\right)^{2}\right)+\frac{13 x^{2}}{5}-\frac{x^{3}}{5}-4 \ln \left(\left(3+x \right) \ln \left(5\right)^{2}\right) x +\frac{4 \ln \left(\left(3+x \right) \ln \left(5\right)^{2}\right) x^{2}}{5}$&$60$\\ derivativedivides&$\frac{-20 \ln \left(5\right)^{2} {\mathrm e}^{2} \ln \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)+5 \,{\mathrm e}^{2} \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)+136 \ln \left(5\right)^{2} \ln \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)-44 \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right) \ln \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)-155 x \ln \left(5\right)^{2}-465 \ln \left(5\right)^{2}+\frac{4 \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)^{2} \ln \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)-2 \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)^{2}}{\ln \left(5\right)^{2}}+\frac{24 \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)^{2}}{\ln \left(5\right)^{2}}-\frac{\left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)^{3}}{\ln \left(5\right)^{4}}}{5 \ln \left(5\right)^{2}}$&$206$\\ default&$\frac{-20 \ln \left(5\right)^{2} {\mathrm e}^{2} \ln \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)+5 \,{\mathrm e}^{2} \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)+136 \ln \left(5\right)^{2} \ln \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)-44 \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right) \ln \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)-155 x \ln \left(5\right)^{2}-465 \ln \left(5\right)^{2}+\frac{4 \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)^{2} \ln \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)-2 \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)^{2}}{\ln \left(5\right)^{2}}+\frac{24 \left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)^{2}}{\ln \left(5\right)^{2}}-\frac{\left(x \ln \left(5\right)^{2}+3 \ln \left(5\right)^{2}\right)^{3}}{\ln \left(5\right)^{4}}}{5 \ln \left(5\right)^{2}}$&$206$\\ \hline \end{longtable}"," ",0,"(4/5*x^2-4*x)*ln((3+x)*ln(5)^2)-1/5*x^3+exp(2)*x+13/5*x^2-10*x-4*ln(3+x)*exp(2)+8*ln(3+x)","B"
8798,1,27,26,0.100000," ","int((((-100*x^4+400*x^3+40*x-160)*ln(x)+25*x^6+50*x^4-160*x^3+40*x-144)*exp((5*x*ln(x)-5*x^3-4)/(5*x^3+4))^2+125*x^6+200*x^3+80)/(25*x^6+40*x^3+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x +\left(x -4\right) x^{\frac{10 x}{5 x^{3}+4}} {\mathrm e}^{-2}$&$27$\\ \hline \end{longtable}"," ",0,"5*x+(x-4)*(x^(5/(5*x^3+4)*x))^2*exp(-2)","A"
8799,1,27,23,0.274000," ","int(((-8*x*ln(x)^2+4*ln(2)*ln(x))*ln((16*x^3*ln(x)-8*x^2*ln(2))/ln(x))-22*x*ln(x)^2+7*ln(2)*ln(x)-4*ln(2))/(2*x*ln(x)^2-ln(2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -4 x \ln \left(\frac{16 x^{3} \ln \left(x \right)-8 x^{2} \ln \left(2\right)}{\ln \left(x \right)}\right)$&$27$\\ risch&$-4 x \ln \left(-2 x \ln \left(x \right)+\ln \left(2\right)\right)+4 x \ln \left(\ln \left(x \right)\right)+2 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  x \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i \left(-2 x \ln \left(x \right)+\ln \left(2\right)\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(-2 x \ln \left(x \right)+\ln \left(2\right)\right)}{\ln \left(x \right)}\right)-4 i \pi  x -2 i \pi  x \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(-2 x \ln \left(x \right)+\ln \left(2\right)\right)}{\ln \left(x \right)}\right)^{2}+4 i \pi  x \mathrm{csgn}\left(\frac{i x^{2} \left(-2 x \ln \left(x \right)+\ln \left(2\right)\right)}{\ln \left(x \right)}\right)^{2}-2 i \pi  x \mathrm{csgn}\left(\frac{i \left(-2 x \ln \left(x \right)+\ln \left(2\right)\right)}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-4 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+2 i \pi  x \mathrm{csgn}\left(\frac{i \left(-2 x \ln \left(x \right)+\ln \left(2\right)\right)}{\ln \left(x \right)}\right)^{3}-2 i \pi  x \mathrm{csgn}\left(\frac{i x^{2} \left(-2 x \ln \left(x \right)+\ln \left(2\right)\right)}{\ln \left(x \right)}\right)^{3}-2 i \pi  x \,\mathrm{csgn}\left(\frac{i \left(-2 x \ln \left(x \right)+\ln \left(2\right)\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(-2 x \ln \left(x \right)+\ln \left(2\right)\right)}{\ln \left(x \right)}\right)^{2}-2 i \pi  x \,\mathrm{csgn}\left(i \left(-2 x \ln \left(x \right)+\ln \left(2\right)\right)\right) \mathrm{csgn}\left(\frac{i \left(-2 x \ln \left(x \right)+\ln \left(2\right)\right)}{\ln \left(x \right)}\right)^{2}+2 i \pi  x \,\mathrm{csgn}\left(i \left(-2 x \ln \left(x \right)+\ln \left(2\right)\right)\right) \mathrm{csgn}\left(\frac{i \left(-2 x \ln \left(x \right)+\ln \left(2\right)\right)}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-12 x \ln \left(2\right)-8 x \ln \left(x \right)+x$&$392$\\ \hline \end{longtable}"," ",0,"x-4*x*ln((16*x^3*ln(x)-8*x^2*ln(2))/ln(x))","A"
8800,1,28,24,0.125000," ","int(1/3*((-4*ln(16/x^2)^2+(-4*x^2+4*x)*ln(16/x^2)-8*x^2+8*x)*exp(x/ln(16/x^2))-4*ln(5)*ln(16/x^2)^2)/x^2/ln(16/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \ln \left(5\right)}{3 x}-\frac{4 \left(x -1\right) {\mathrm e}^{\frac{x}{\ln \left(\frac{16}{x^{2}}\right)}}}{3 x}$&$28$\\ norman&$\frac{\frac{4 \ln \left(5\right) \ln \left(\frac{16}{x^{2}}\right)}{3}+\frac{4 \ln \left(\frac{16}{x^{2}}\right) {\mathrm e}^{\frac{x}{\ln \left(\frac{16}{x^{2}}\right)}}}{3}-\frac{4 \ln \left(\frac{16}{x^{2}}\right) {\mathrm e}^{\frac{x}{\ln \left(\frac{16}{x^{2}}\right)}} x}{3}}{x \ln \left(\frac{16}{x^{2}}\right)}$&$63$\\ default&$-\frac{4 \left(x \left(\ln \left(\frac{16}{x^{2}}\right)+2 \ln \left(x \right)\right) {\mathrm e}^{\frac{x}{\ln \left(\frac{16}{x^{2}}\right)}}-\left(\ln \left(\frac{16}{x^{2}}\right)+2 \ln \left(x \right)\right) {\mathrm e}^{\frac{x}{\ln \left(\frac{16}{x^{2}}\right)}}+2 \ln \left(x \right) {\mathrm e}^{\frac{x}{\ln \left(\frac{16}{x^{2}}\right)}}-2 x \ln \left(x \right) {\mathrm e}^{\frac{x}{\ln \left(\frac{16}{x^{2}}\right)}}\right)}{3 x \ln \left(\frac{16}{x^{2}}\right)}+\frac{4 \ln \left(5\right)}{3 x}$&$102$\\ \hline \end{longtable}"," ",0,"4/3*ln(5)/x-4/3*(x-1)/x*exp(x/ln(16/x^2))","A"
8801,1,16,21,0.471000," ","int(((-5*x+5)*exp(2)-5*x^2+10*x)/(exp(2)*x+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-5 x +5 \ln \left(x \right)+5 \ln \left(x +{\mathrm e}^{2}\right)$&$16$\\ norman&$-5 x +5 \ln \left(x \right)+5 \ln \left(x +{\mathrm e}^{2}\right)$&$16$\\ risch&$-5 x +5 \ln \left({\mathrm e}^{2} x +x^{2}\right)$&$16$\\ meijerg&$5 \ln \left(x \right)-10-5 \ln \left(1+x \,{\mathrm e}^{-2}\right)+\left(-5 \,{\mathrm e}^{2}+10\right) \ln \left(1+x \,{\mathrm e}^{-2}\right)-5 \,{\mathrm e}^{2} \left(x \,{\mathrm e}^{-2}-\ln \left(1+x \,{\mathrm e}^{-2}\right)\right)$&$48$\\ \hline \end{longtable}"," ",0,"-5*x+5*ln(x)+5*ln(x+exp(2))","A"
8802,1,21,20,0.175000," ","int((4*x*exp(3)*ln(2)*exp(x)^3+2*(-6*x^2-6*x)*ln(2)*exp(x)^2)/(exp(3)^3*exp(x)^3-9*exp(3)^2*exp(x)^2+27*exp(x)*exp(3)-27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x^{2} \ln \left(2\right) {\mathrm e}^{2 x}}{\left({\mathrm e}^{x} {\mathrm e}^{3}-3\right)^{2}}$&$21$\\ risch&$2 \,{\mathrm e}^{-6} x^{2} \ln \left(2\right)+\frac{6 \ln \left(2\right) x^{2} \left(2 \,{\mathrm e}^{3+x}-3\right) {\mathrm e}^{-6}}{\left({\mathrm e}^{3+x}-3\right)^{2}}$&$36$\\ \hline \end{longtable}"," ",0,"2*x^2*ln(2)*exp(x)^2/(exp(x)*exp(3)-3)^2","A"
8803,1,22,20,0.035000," ","int((-3*x*ln(4*x)^2+(6*x-6)*ln(4*x)+3*x^2+6)*exp(ln(ln(4*x)^2-2*ln(4*x)-x+1)+x)/(x*ln(4*x)^2-2*x*ln(4*x)-x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 \left(\ln \left(4 x \right)^{2}-2 \ln \left(4 x \right)-x +1\right) {\mathrm e}^{x}$&$22$\\ \hline \end{longtable}"," ",0,"-3*(ln(4*x)^2-2*ln(4*x)-x+1)*exp(x)","A"
8804,1,37,27,0.219000," ","int((((-x^2+x)*exp(4)+x^3-9*x^2+24*x-16)*ln(x-1)^2+((-2*x^3+2*x^2)*exp(4)+2*x^4-18*x^3+60*x^2-44*x)*ln(x-1)+(-x^4+x^3)*exp(4)+x^5-8*x^4+40*x^3-60*x^2)/((x^4-9*x^3+24*x^2-16*x)*ln(x-1)^2+(2*x^5-18*x^4+48*x^3-32*x^2)*ln(x-1)+x^6-9*x^5+24*x^4-16*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(x \right)-4 \ln \left(x \right)+{\mathrm e}^{4}}{x -4}-\frac{x +8}{\left(x -4\right) \left(x +\ln \left(x -1\right)\right)}$&$37$\\ norman&$\frac{-8+{\mathrm e}^{4} \ln \left(x -1\right)+\left({\mathrm e}^{4}-1\right) x}{\ln \left(x -1\right) x +x^{2}-4 \ln \left(x -1\right)-4 x}+\ln \left(x \right)$&$41$\\ \hline \end{longtable}"," ",0,"(x*ln(x)-4*ln(x)+exp(4))/(x-4)-(x+8)/(x-4)/(x+ln(x-1))","A"
8805,1,16,15,0.045000," ","int(4*ln(-ln(ln(ln(x)-1))+ln(2)+5/2)/((2*x*ln(x)-2*x)*ln(ln(x)-1)*ln(ln(ln(x)-1))+((-2*x*ln(2)-5*x)*ln(x)+2*x*ln(2)+5*x)*ln(ln(x)-1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-\ln \left(\ln \left(\ln \left(x \right)-1\right)\right)+\ln \left(2\right)+\frac{5}{2}\right)^{2}$&$16$\\ \hline \end{longtable}"," ",0,"ln(-ln(ln(ln(x)-1))+ln(2)+5/2)^2","A"
8806,1,63,28,0.190000," ","int((4*(-3*x^4+6*x^3-20*x^2-64)*ln(2)^2+2*(-9*x^4-6*x^3-72*x^2-144)*ln(2))/(4*(9*x^6+24*x^5+88*x^4+192*x^3+272*x^2+384*x+256)*ln(2)^2+2*(-18*x^6-24*x^5-144*x^4-192*x^3-288*x^2-384*x)*ln(2)+9*x^6+72*x^4+144*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{3 \left(4 \ln \left(2\right)^{2}+6 \ln \left(2\right)\right) x^{3}}{8 \ln \left(2\right)}-\frac{\left(16 \ln \left(2\right)^{2}+18 \ln \left(2\right)\right) x}{2 \ln \left(2\right)}}{\left(x^{2}+4\right) \left(6 x \ln \left(2\right)+8 \ln \left(2\right)-3 x \right)}$&$63$\\ gosper&$\frac{2 \left(2 x^{2} \ln \left(2\right)-2 x \ln \left(2\right)+3 x^{2}+8 \ln \left(2\right)+x +12\right) \ln \left(2\right)}{\left(6 x^{3} \ln \left(2\right)+8 x^{2} \ln \left(2\right)-3 x^{3}+24 x \ln \left(2\right)+32 \ln \left(2\right)-12 x \right) \left(2 \ln \left(2\right)-1\right)}$&$71$\\ risch&$\frac{\frac{\ln \left(2\right) \left(2 \ln \left(2\right)+3\right) x^{2}}{6 \ln \left(2\right)-3}-\frac{x \ln \left(2\right)}{3}+\frac{4 \ln \left(2\right) \left(2 \ln \left(2\right)+3\right)}{3 \left(2 \ln \left(2\right)-1\right)}}{x^{3} \ln \left(2\right)+\frac{4 x^{2} \ln \left(2\right)}{3}-\frac{x^{3}}{2}+4 x \ln \left(2\right)+\frac{16 \ln \left(2\right)}{3}-2 x}$&$80$\\ default&$2 \ln \left(2\right) \left(\frac{-2 x \ln \left(2\right)+3-6 \ln \left(2\right)}{\left(x^{2}+4\right) \left(52 \ln \left(2\right)^{2}-36 \ln \left(2\right)+9\right)}-\frac{-384 \ln \left(2\right)^{3}-180 \ln \left(2\right)^{2}+252 \ln \left(2\right)-81}{\left(52 \ln \left(2\right)^{2}-36 \ln \left(2\right)+9\right) \left(6 \ln \left(2\right)-3\right) \left(6 x \ln \left(2\right)+8 \ln \left(2\right)-3 x \right)}\right)$&$97$\\ \hline \end{longtable}"," ",0,"(-3/8*(4*ln(2)^2+6*ln(2))/ln(2)*x^3-1/2*(16*ln(2)^2+18*ln(2))/ln(2)*x)/(x^2+4)/(6*x*ln(2)+8*ln(2)-3*x)","B"
8807,1,10,9,0.075000," ","int(((1-x)*exp(x)+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\frac{{\mathrm e}^{x}}{x}$&$10$\\ risch&$x -\frac{{\mathrm e}^{x}}{x}$&$10$\\ norman&$\frac{-{\mathrm e}^{x}+x^{2}}{x}$&$13$\\ \hline \end{longtable}"," ",0,"x-exp(x)/x","A"
8808,1,24,26,0.056000," ","int(1/16*(exp(5-x)+4*x^3-4*x^2)*exp(x)/x^2/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-\frac{{\mathrm e}^{5}}{x}+4 \,{\mathrm e}^{x} x -8 \,{\mathrm e}^{x}}{16 \ln \left(2\right)}$&$24$\\ risch&$-\frac{{\mathrm e}^{5}}{16 \ln \left(2\right) x}+\frac{\left(4 x -8\right) {\mathrm e}^{x}}{16 \ln \left(2\right)}$&$26$\\ norman&$\frac{\left(-\frac{x \,{\mathrm e}^{2 x}}{2 \ln \left(2\right)}+\frac{x^{2} {\mathrm e}^{2 x}}{4 \ln \left(2\right)}-\frac{{\mathrm e}^{5} {\mathrm e}^{x}}{16 \ln \left(2\right)}\right) {\mathrm e}^{-x}}{x}$&$44$\\ \hline \end{longtable}"," ",0,"1/16/ln(2)*(-exp(5)/x+4*exp(x)*x-8*exp(x))","A"
8809,1,106,28,0.268000," ","int(((-32*x^3-32*x^2+32*x+32)*ln(x+1)^3+(-60*x^5-60*x^4-60*x^3-60*x^2)*ln((x^2+1)/x)^3*ln(x+1)^2+(12*x^7+12*x^6+42*x^5+12*x^4+30*x^3)*ln((x^2+1)/x)^3*ln(x+1)+(-6*x^7-6*x^5)*ln((x^2+1)/x)^3)/(x^4+x^3+x^2+x)/ln((x^2+1)/x)^3/ln(x+1)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 \left(x +1\right)^{4}}{\ln \left(x +1\right)^{2}}-\frac{12 \left(x +1\right)^{3}}{\ln \left(x +1\right)^{2}}+\frac{18 \left(x +1\right)^{2}}{\ln \left(x +1\right)^{2}}-\frac{30 \left(x +1\right)^{2}}{\ln \left(x +1\right)}-\frac{12 \left(x +1\right)}{\ln \left(x +1\right)^{2}}+\frac{60 x +60}{\ln \left(x +1\right)}+\frac{3}{\ln \left(x +1\right)^{2}}+\frac{16}{\ln \left(\frac{x^{2}+1}{x}\right)^{2}}-\frac{30}{\ln \left(x +1\right)}$&$106$\\ risch&$\frac{3 x^{2} \left(x^{2}-10 \ln \left(x +1\right)\right)}{\ln \left(x +1\right)^{2}}-\frac{64}{\left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x^{2}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+1\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+1\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x^{2}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+1\right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+1\right)}{x}\right)^{3}-2 i \ln \left(x \right)+2 i \ln \left(x^{2}+1\right)\right)^{2}}$&$138$\\ \hline \end{longtable}"," ",0,"3*(x+1)^4/ln(x+1)^2-12*(x+1)^3/ln(x+1)^2+18*(x+1)^2/ln(x+1)^2-30*(x+1)^2/ln(x+1)-12*(x+1)/ln(x+1)^2+60/ln(x+1)*(x+1)+3/ln(x+1)^2+16/ln((x^2+1)/x)^2-30/ln(x+1)","B"
8810,1,62,23,0.060000," ","int(1/3*(((4*x+1)*ln(5)^2*ln(x)^2+(16*x^2+4*x)*ln(5)^2*ln(x))*ln(ln(x))^3+(8*x^2*ln(5)^2*ln(x)^2+(48*x^3+4*x^2)*ln(5)^2*ln(x))*ln(ln(x))^2+((32*x^4-4*x^2)*ln(5)^2*ln(x)-16*x^3*ln(5)^2)*ln(ln(x))-16*x^4*ln(5)^2)/x/ln(x)/ln(ln(x))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{2} \ln \left(5\right)^{2}}{6}+\frac{4 x \ln \left(5\right)^{2} \ln \left(x \right)}{3}+\frac{8 x^{2} \ln \left(5\right)^{2}}{3}+\frac{4 x^{2} \ln \left(5\right)^{2} \left(2 x^{2}+4 x \ln \left(\ln \left(x \right)\right)+\ln \left(x \right) \ln \left(\ln \left(x \right)\right)\right)}{3 \ln \left(\ln \left(x \right)\right)^{2}}$&$62$\\ \hline \end{longtable}"," ",0,"1/6*ln(x)^2*ln(5)^2+4/3*x*ln(5)^2*ln(x)+8/3*x^2*ln(5)^2+4/3*x^2*ln(5)^2*(2*x^2+4*x*ln(ln(x))+ln(x)*ln(ln(x)))/ln(ln(x))^2","B"
8811,1,39,21,0.077000," ","int(((4*x^4+4*x^3-x-1)*ln(4*x+4)^2+(-24*x^4-24*x^3+2*x+2)*ln(4*x+4)+36*x^4+36*x^3+7*x+3)*exp(((x^4-x)*ln(4*x+4)-3*x^4-x)/(ln(4*x+4)-3))/((x+1)*ln(4*x+4)^2+(-6*x-6)*ln(4*x+4)+9*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x \left(\ln \left(4 x +4\right) x^{3}-3 x^{3}-\ln \left(4 x +4\right)-1\right)}{\ln \left(4 x +4\right)-3}}$&$39$\\ \hline \end{longtable}"," ",0,"exp(x*(ln(4*x+4)*x^3-3*x^3-ln(4*x+4)-1)/(ln(4*x+4)-3))","A"
8812,1,26,24,0.227000," ","int(((((-2*x^3-8*x^2)*ln(4+x)-2*x^4-6*x^3+8*x^2)*ln(ln(4+x)+x-1)+((x^2+4*x)*exp(x)+4+x)*ln(4+x)+(x^3+3*x^2-4*x)*exp(x)-x^4-5*x^3+x^2+3*x-4)*exp(-x^2*ln(ln(4+x)+x-1)+exp(x))+(-2*x^2-8*x)*ln(4+x)-2*x^3-6*x^2+8*x)/(((x^2+4*x)*ln(4+x)+x^3+3*x^2-4*x)*exp(-x^2*ln(ln(4+x)+x-1)+exp(x))+(-x^3-4*x^2)*ln(4+x)-x^4-3*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left(\left(\ln \left(4+x \right)+x -1\right)^{-x^{2}} {\mathrm e}^{{\mathrm e}^{x}}-x \right)$&$26$\\ \hline \end{longtable}"," ",0,"ln(x)+ln((ln(4+x)+x-1)^(-x^2)*exp(exp(x))-x)","A"
8813,1,115,37,0.671000," ","int((65536*(x^4-29*x^2-6*x)*ln(2)^8+4096*(22*x^6-20*x^5-464*x^4-96*x^3)*ln(2)^6+256*(157*x^8-160*x^7-2784*x^6-576*x^5)*ln(2)^4+16*(440*x^10-320*x^9-7424*x^8-1536*x^7)*ln(2)^2+400*x^12-7424*x^10-1536*x^9)/(65536*(x^6-22*x^5+179*x^4-632*x^3+775*x^2+174*x+9)*ln(2)^8+4096*(20*x^8-416*x^7+3200*x^6-10680*x^5+12340*x^4+2784*x^3+144*x^2)*ln(2)^6+256*(150*x^10-2942*x^9+21374*x^8-67482*x^7+73680*x^6+16704*x^5+864*x^4)*ln(2)^4+16*(500*x^12-9220*x^11+63216*x^10-189008*x^9+195520*x^8+44544*x^7+2304*x^6)*ln(2)^2+625*x^14-10800*x^13+69856*x^12-198048*x^11+194560*x^10+44544*x^9+2304*x^8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{16 x^{2} \left(16 \ln \left(2\right)^{4}+8 x^{2} \ln \left(2\right)^{2}+x^{4}\right)}{256 x^{3} \ln \left(2\right)^{4}+160 x^{5} \ln \left(2\right)^{2}+25 x^{7}-2816 x^{2} \ln \left(2\right)^{4}-1568 x^{4} \ln \left(2\right)^{2}-216 x^{6}+7424 x \ln \left(2\right)^{4}+3712 x^{3} \ln \left(2\right)^{2}+464 x^{5}+768 \ln \left(2\right)^{4}+384 x^{2} \ln \left(2\right)^{2}+48 x^{4}}$&$115$\\ risch&$\frac{-x^{2} \ln \left(2\right)^{4}-\frac{x^{4} \ln \left(2\right)^{2}}{2}-\frac{x^{6}}{16}}{x^{3} \ln \left(2\right)^{4}+\frac{5 x^{5} \ln \left(2\right)^{2}}{8}+\frac{25 x^{7}}{256}-11 x^{2} \ln \left(2\right)^{4}-\frac{49 x^{4} \ln \left(2\right)^{2}}{8}-\frac{27 x^{6}}{32}+29 x \ln \left(2\right)^{4}+\frac{29 x^{3} \ln \left(2\right)^{2}}{2}+\frac{29 x^{5}}{16}+3 \ln \left(2\right)^{4}+\frac{3 x^{2} \ln \left(2\right)^{2}}{2}+\frac{3 x^{4}}{16}}$&$115$\\ default&$\frac{-x^{2} \ln \left(2\right)^{4}-\frac{x^{4} \ln \left(2\right)^{2}}{2}-\frac{x^{6}}{16}}{x^{3} \ln \left(2\right)^{4}+\frac{5 x^{5} \ln \left(2\right)^{2}}{8}+\frac{25 x^{7}}{256}-11 x^{2} \ln \left(2\right)^{4}-\frac{49 x^{4} \ln \left(2\right)^{2}}{8}-\frac{27 x^{6}}{32}+29 x \ln \left(2\right)^{4}+\frac{29 x^{3} \ln \left(2\right)^{2}}{2}+\frac{29 x^{5}}{16}+3 \ln \left(2\right)^{4}+\frac{3 x^{2} \ln \left(2\right)^{2}}{2}+\frac{3 x^{4}}{16}}$&$116$\\ norman&$\frac{-16 x^{6}-128 x^{4} \ln \left(2\right)^{2}-256 x^{2} \ln \left(2\right)^{4}}{256 x^{3} \ln \left(2\right)^{4}+160 x^{5} \ln \left(2\right)^{2}+25 x^{7}-2816 x^{2} \ln \left(2\right)^{4}-1568 x^{4} \ln \left(2\right)^{2}-216 x^{6}+7424 x \ln \left(2\right)^{4}+3712 x^{3} \ln \left(2\right)^{2}+464 x^{5}+768 \ln \left(2\right)^{4}+384 x^{2} \ln \left(2\right)^{2}+48 x^{4}}$&$116$\\ \hline \end{longtable}"," ",0,"-16*x^2*(16*ln(2)^4+8*x^2*ln(2)^2+x^4)/(256*x^3*ln(2)^4+160*x^5*ln(2)^2+25*x^7-2816*x^2*ln(2)^4-1568*x^4*ln(2)^2-216*x^6+7424*x*ln(2)^4+3712*x^3*ln(2)^2+464*x^5+768*ln(2)^4+384*x^2*ln(2)^2+48*x^4)","B"
8814,1,14,15,0.051000," ","int((400*x^3-360*x^2+72*x)*exp(100*x^4-120*x^3+36*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{4 x^{2} \left(5 x -3\right)^{2}}$&$14$\\ gosper&${\mathrm e}^{100 x^{4}-120 x^{3}+36 x^{2}}$&$18$\\ derivativedivides&${\mathrm e}^{100 x^{4}-120 x^{3}+36 x^{2}}$&$18$\\ norman&${\mathrm e}^{100 x^{4}-120 x^{3}+36 x^{2}}$&$18$\\ \hline \end{longtable}"," ",0,"exp(4*x^2*(5*x-3)^2)","A"
8815,1,352,28,0.272000," ","int((((-6*x^5+128*x^4-512*x^3)*exp(x)^2+(-3*x^5+52*x^4-1024*x^2)*exp(x)-3*x^4+58*x^3-128*x^2-512*x)*ln((2*exp(x)*x^2+x^2+2*x)/(2*exp(x)*x+2))+2*exp(x)^2*x^2+(-x^3+x^2+4*x)*exp(x)+2*x+2)/(2*exp(x)^2*x^3+(x^3+4*x^2)*exp(x)+x^2+2*x)/exp(x^3-32*x^2+256*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\left(x -16\right)^{2} x} \ln \left(1+\left(\frac{1}{2}+{\mathrm e}^{x}\right) x \right)+\frac{\left(-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(1+\left(\frac{1}{2}+{\mathrm e}^{x}\right) x \right)}{{\mathrm e}^{x} x +1}\right) \mathrm{csgn}\left(\frac{i x \left(1+\left(\frac{1}{2}+{\mathrm e}^{x}\right) x \right)}{{\mathrm e}^{x} x +1}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(1+\left(\frac{1}{2}+{\mathrm e}^{x}\right) x \right)}{{\mathrm e}^{x} x +1}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(1+\left(\frac{1}{2}+{\mathrm e}^{x}\right) x \right)\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x} x +1}\right) \mathrm{csgn}\left(\frac{i \left(1+\left(\frac{1}{2}+{\mathrm e}^{x}\right) x \right)}{{\mathrm e}^{x} x +1}\right)+i \pi  \,\mathrm{csgn}\left(i \left(1+\left(\frac{1}{2}+{\mathrm e}^{x}\right) x \right)\right) \mathrm{csgn}\left(\frac{i \left(1+\left(\frac{1}{2}+{\mathrm e}^{x}\right) x \right)}{{\mathrm e}^{x} x +1}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x} x +1}\right) \mathrm{csgn}\left(\frac{i \left(1+\left(\frac{1}{2}+{\mathrm e}^{x}\right) x \right)}{{\mathrm e}^{x} x +1}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \left(1+\left(\frac{1}{2}+{\mathrm e}^{x}\right) x \right)}{{\mathrm e}^{x} x +1}\right)^{3}+i \pi  \,\mathrm{csgn}\left(\frac{i \left(1+\left(\frac{1}{2}+{\mathrm e}^{x}\right) x \right)}{{\mathrm e}^{x} x +1}\right) \mathrm{csgn}\left(\frac{i x \left(1+\left(\frac{1}{2}+{\mathrm e}^{x}\right) x \right)}{{\mathrm e}^{x} x +1}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i x \left(1+\left(\frac{1}{2}+{\mathrm e}^{x}\right) x \right)}{{\mathrm e}^{x} x +1}\right)^{3}+2 \ln \left(x \right)-2 \ln \left({\mathrm e}^{x} x +1\right)\right) {\mathrm e}^{-\left(x -16\right)^{2} x}}{2}$&$352$\\ \hline \end{longtable}"," ",0,"exp(-(x-16)^2*x)*ln(1+(1/2+exp(x))*x)+1/2*(-I*Pi*csgn(I*x)*csgn(I*(1+(1/2+exp(x))*x)/(exp(x)*x+1))*csgn(I*x/(exp(x)*x+1)*(1+(1/2+exp(x))*x))+I*Pi*csgn(I*x)*csgn(I*x/(exp(x)*x+1)*(1+(1/2+exp(x))*x))^2-I*Pi*csgn(I*(1+(1/2+exp(x))*x))*csgn(I/(exp(x)*x+1))*csgn(I*(1+(1/2+exp(x))*x)/(exp(x)*x+1))+I*Pi*csgn(I*(1+(1/2+exp(x))*x))*csgn(I*(1+(1/2+exp(x))*x)/(exp(x)*x+1))^2+I*Pi*csgn(I/(exp(x)*x+1))*csgn(I*(1+(1/2+exp(x))*x)/(exp(x)*x+1))^2-I*Pi*csgn(I*(1+(1/2+exp(x))*x)/(exp(x)*x+1))^3+I*Pi*csgn(I*(1+(1/2+exp(x))*x)/(exp(x)*x+1))*csgn(I*x/(exp(x)*x+1)*(1+(1/2+exp(x))*x))^2-I*Pi*csgn(I*x/(exp(x)*x+1)*(1+(1/2+exp(x))*x))^3+2*ln(x)-2*ln(exp(x)*x+1))*exp(-(x-16)^2*x)","C"
8816,1,31,22,0.369000," ","int(((x^2-1)*ln(1/2*exp(x))*ln(ln(1/2*exp(x)))*ln(ln(ln(1/2*exp(x))))^2-2*ln(1/2*exp(x))*ln(ln(1/2*exp(x)))*ln(ln(ln(1/2*exp(x))))+x^2-2*x)/x^2/ln(1/2*exp(x))/ln(ln(1/2*exp(x)))/ln(ln(ln(1/2*exp(x))))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}+1}{x}-\frac{x -2}{x \ln \left(\ln \left(-\ln \left(2\right)+\ln \left({\mathrm e}^{x}\right)\right)\right)}$&$31$\\ \hline \end{longtable}"," ",0,"(x^2+1)/x-(x-2)/x/ln(ln(-ln(2)+ln(exp(x))))","A"
8817,0,0,24,0.199000," ","int(((-2*x^2*exp(x^2)*ln(x)+exp(x^2))*ln(x^2)^2+((-3*x^3-5*x)*ln(x)+x^3+5*x)*ln(x^2)+(2*x^3+10*x)*ln(x))*exp(ln(x)*ln(x^2)/(exp(x^2)*ln(x^2)+x^3+5*x))/(x*exp(x^2)^2*ln(x^2)^2+(2*x^4+10*x^2)*exp(x^2)*ln(x^2)+x^7+10*x^5+25*x^3),x)","\[\int \frac{\left(\left(-2 x^{2} {\mathrm e}^{x^{2}} \ln \left(x \right)+{\mathrm e}^{x^{2}}\right) \ln \left(x^{2}\right)^{2}+\left(\left(-3 x^{3}-5 x \right) \ln \left(x \right)+x^{3}+5 x \right) \ln \left(x^{2}\right)+\left(2 x^{3}+10 x \right) \ln \left(x \right)\right) {\mathrm e}^{\frac{\ln \left(x \right) \ln \left(x^{2}\right)}{{\mathrm e}^{x^{2}} \ln \left(x^{2}\right)+x^{3}+5 x}}}{x \,{\mathrm e}^{2 x^{2}} \ln \left(x^{2}\right)^{2}+\left(2 x^{4}+10 x^{2}\right) {\mathrm e}^{x^{2}} \ln \left(x^{2}\right)+x^{7}+10 x^{5}+25 x^{3}}\, dx\]"," ",0,"int(((-2*x^2*exp(x^2)*ln(x)+exp(x^2))*ln(x^2)^2+((-3*x^3-5*x)*ln(x)+x^3+5*x)*ln(x^2)+(2*x^3+10*x)*ln(x))*exp(ln(x)*ln(x^2)/(exp(x^2)*ln(x^2)+x^3+5*x))/(x*exp(x^2)^2*ln(x^2)^2+(2*x^4+10*x^2)*exp(x^2)*ln(x^2)+x^7+10*x^5+25*x^3),x)","F"
8818,1,19,18,0.195000," ","int((((-7*x+12)*ln(x)+(7*x-12)*ln(3))*ln(ln(x)-ln(3))+x-2)/((64*x^9-256*x^8+256*x^7)*ln(x)+(-64*x^9+256*x^8-256*x^7)*ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(x \right)-\ln \left(3\right)\right)}{64 x^{6} \left(x -2\right)}$&$19$\\ \hline \end{longtable}"," ",0,"1/64*ln(ln(x)-ln(3))/x^6/(x-2)","A"
8819,1,530,27,0.602000," ","int((-5*ln(x)*ln(2*x)*ln(x*ln(x)^2*ln(2*x))+((x^2-15)*ln(x)+10)*ln(2*x)+5*ln(x))/x^2/ln(x)/ln(2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \ln \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)}{x}-\frac{5 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right)^{2} \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(i x \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right) \ln \left(x \right)^{2}\right)+5 i \pi  \,\mathrm{csgn}\left(i \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2} \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)-5 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right) \ln \left(x \right)^{2}\right)^{2}-10 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}+5 i \pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)-5 i \pi  \mathrm{csgn}\left(x \ln \left(x \right)^{2} \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)\right)^{2}+5 i \pi  \,\mathrm{csgn}\left(i x \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right) \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(x \ln \left(x \right)^{2} \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)\right)-5 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)^{2} \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(i x \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right) \ln \left(x \right)^{2}\right)^{2}-5 i \pi  \,\mathrm{csgn}\left(i x \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right) \ln \left(x \right)^{2}\right) \mathrm{csgn}\left(x \ln \left(x \right)^{2} \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)\right)^{2}+5 i \pi  \mathrm{csgn}\left(i x \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right) \ln \left(x \right)^{2}\right)^{3}+5 i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2} \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)\right)^{3}-5 i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2} \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)+5 i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}+5 i \pi  \mathrm{csgn}\left(x \ln \left(x \right)^{2} \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)\right)^{3}-5 i \pi  \,\mathrm{csgn}\left(i \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2} \left(2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)\right)^{2}+5 i \pi -2 x^{2}+10 \ln \left(2\right)-10 \ln \left(x \right)-20 \ln \left(\ln \left(x \right)\right)-40}{2 x}$&$530$\\ \hline \end{longtable}"," ",0,"5/x*ln(2*I*ln(2)+2*I*ln(x))-1/2*(5*I*Pi*csgn(I*x)*csgn(I*ln(x)^2*(2*I*ln(2)+2*I*ln(x)))*csgn(I*x*(2*I*ln(2)+2*I*ln(x))*ln(x)^2)+5*I*Pi*csgn(I*(2*I*ln(2)+2*I*ln(x)))*csgn(I*ln(x)^2*(2*I*ln(2)+2*I*ln(x)))*csgn(I*ln(x)^2)-5*I*Pi*csgn(I*x)*csgn(I*x*(2*I*ln(2)+2*I*ln(x))*ln(x)^2)^2-10*I*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+5*I*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-5*I*Pi*csgn(x*ln(x)^2*(2*I*ln(2)+2*I*ln(x)))^2+5*I*Pi*csgn(I*x*(2*I*ln(2)+2*I*ln(x))*ln(x)^2)*csgn(x*ln(x)^2*(2*I*ln(2)+2*I*ln(x)))-5*I*Pi*csgn(I*ln(x)^2*(2*I*ln(2)+2*I*ln(x)))*csgn(I*x*(2*I*ln(2)+2*I*ln(x))*ln(x)^2)^2-5*I*Pi*csgn(I*x*(2*I*ln(2)+2*I*ln(x))*ln(x)^2)*csgn(x*ln(x)^2*(2*I*ln(2)+2*I*ln(x)))^2+5*I*Pi*csgn(I*x*(2*I*ln(2)+2*I*ln(x))*ln(x)^2)^3+5*I*Pi*csgn(I*ln(x)^2*(2*I*ln(2)+2*I*ln(x)))^3-5*I*Pi*csgn(I*ln(x)^2*(2*I*ln(2)+2*I*ln(x)))^2*csgn(I*ln(x)^2)+5*I*Pi*csgn(I*ln(x)^2)^3+5*I*Pi*csgn(x*ln(x)^2*(2*I*ln(2)+2*I*ln(x)))^3-5*I*Pi*csgn(I*(2*I*ln(2)+2*I*ln(x)))*csgn(I*ln(x)^2*(2*I*ln(2)+2*I*ln(x)))^2+5*I*Pi-2*x^2+10*ln(2)-10*ln(x)-20*ln(ln(x))-40)/x","C"
8820,1,30,24,0.057000," ","int((-8*exp(2)^4+32*exp(2)^3-80*exp(2)^2+96*exp(2)-x^3+3*x^2-3*x-71)/(x^3-3*x^2+3*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\frac{-72+96 \,{\mathrm e}^{2}-80 \,{\mathrm e}^{4}-8 \,{\mathrm e}^{8}+32 \,{\mathrm e}^{6}}{2 \left(x -1\right)^{2}}$&$30$\\ gosper&$\frac{4 \,{\mathrm e}^{8}-16 \,{\mathrm e}^{6}-x^{3}+40 \,{\mathrm e}^{4}-48 \,{\mathrm e}^{2}+3 x +34}{x^{2}-2 x +1}$&$44$\\ risch&$-x +\frac{4 \,{\mathrm e}^{8}}{x^{2}-2 x +1}-\frac{16 \,{\mathrm e}^{6}}{x^{2}-2 x +1}+\frac{40 \,{\mathrm e}^{4}}{x^{2}-2 x +1}-\frac{48 \,{\mathrm e}^{2}}{x^{2}-2 x +1}+\frac{36}{x^{2}-2 x +1}$&$73$\\ \hline \end{longtable}"," ",0,"-x-1/2*(-72+96*exp(2)-80*exp(4)-8*exp(8)+32*exp(6))/(x-1)^2","A"
8821,1,27,28,0.433000," ","int((((x^2-x-6)*exp(x)-x^3-2*x^2)*ln(2*x+4)-exp(x)*x-x^3)*exp((x^2+exp(x))/x^3/ln(2*x+4)/ln(exp(3/2)-2))/(x^5+2*x^4)/ln(2*x+4)^2/ln(exp(3/2)-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{2}+{\mathrm e}^{x}}{x^{3} \ln \left(2 x +4\right) \ln \left({\mathrm e}^{\frac{3}{2}}-2\right)}}$&$27$\\ \hline \end{longtable}"," ",0,"exp((x^2+exp(x))/x^3/ln(2*x+4)/ln(exp(3/2)-2))","A"
8822,1,1812,39,1.011000," ","int((((4*x^9+100*x^8+996*x^7+4892*x^6+11380*x^5+6896*x^4-13516*x^3-12380*x^2+508*x)*exp(x^2)+x^8+25*x^7+250*x^6+1254*x^5+3165*x^4+3225*x^3-5*x^2-5*x)*ln(2*x^2)^2+((-8*x^7-200*x^6-2000*x^5-9984*x^4-24760*x^3-23800*x^2+1992*x-40)*exp(x^2)+4*x^8+100*x^7+1000*x^6+4992*x^5+12380*x^4+11900*x^3-996*x^2+20*x)*ln(2*x^2))/((4*x^6+100*x^5+1000*x^4+5000*x^3+12500*x^2+12500*x)*exp(x^2)^2+(-4*x^7-100*x^6-1000*x^5-5000*x^4-12500*x^3-12500*x^2)*exp(x^2)+x^8+25*x^7+250*x^6+1250*x^5+3125*x^4+3125*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \left(x^{6}+20 x^{5}+150 x^{4}+498 x^{3}+605 x^{2}-50 x +1\right) \ln \left(x \right)^{2}}{\left(x^{4}+20 x^{3}+150 x^{2}+500 x +625\right) \left(x -2 \,{\mathrm e}^{x^{2}}\right)}+\frac{2 \left(2 \ln \left(2\right)+300 x^{4} \ln \left(2\right)+40 x^{5} \ln \left(2\right)+2 x^{6} \ln \left(2\right)-100 x \ln \left(2\right)+1210 x^{2} \ln \left(2\right)+996 x^{3} \ln \left(2\right)-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-i \pi  \,x^{6} \mathrm{csgn}\left(i x^{2}\right)^{3}-20 i \pi  \,x^{5} \mathrm{csgn}\left(i x^{2}\right)^{3}-150 i \pi  \,x^{4} \mathrm{csgn}\left(i x^{2}\right)^{3}-498 i \pi  \,x^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+50 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-605 i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}-20 i \pi  \,x^{5} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+40 i \pi  \,x^{5} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-150 i \pi  \,x^{4} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+300 i \pi  \,x^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-498 i \pi  \,x^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+996 i \pi  \,x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \,x^{6} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,x^{6} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+50 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-100 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-605 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+1210 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) \ln \left(x \right)}{\left(5+x \right) \left(x^{3}+15 x^{2}+75 x +125\right) \left(x -2 \,{\mathrm e}^{x^{2}}\right)}+\frac{4 x^{6} \ln \left(2\right)^{2}+4 \ln \left(2\right)^{2}+80 x^{5} \ln \left(2\right)^{2}+600 x^{4} \ln \left(2\right)^{2}+1992 x^{3} \ln \left(2\right)^{2}-200 x \ln \left(2\right)^{2}+2420 x^{2} \ln \left(2\right)^{2}-605 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}+2420 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-3630 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+2420 \pi^{2} x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-605 \pi^{2} x^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{4}+50 x \,\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}-498 \pi^{2} x^{3} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}+1992 \pi^{2} x^{3} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi^{2} x^{6} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}+4 \pi^{2} x^{6} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-6 \pi^{2} x^{6} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+4 \pi^{2} x^{6} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-4 i \ln \left(2\right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-20 \pi^{2} x^{5} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}+80 \pi^{2} x^{5} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-120 \pi^{2} x^{5} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+80 \pi^{2} x^{5} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-150 \pi^{2} x^{4} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}+600 \pi^{2} x^{4} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-1992 i \pi  \ln \left(2\right) x^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}-2420 i \pi  \ln \left(2\right) x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}+200 i \pi  \ln \left(2\right) x \mathrm{csgn}\left(i x^{2}\right)^{3}-4 i \pi  \ln \left(2\right) x^{6} \mathrm{csgn}\left(i x^{2}\right)^{3}-80 i \pi  \ln \left(2\right) x^{5} \mathrm{csgn}\left(i x^{2}\right)^{3}-600 i \pi  \ln \left(2\right) x^{4} \mathrm{csgn}\left(i x^{2}\right)^{3}-4 i \ln \left(2\right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+8 i \ln \left(2\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi^{2} x^{6} \mathrm{csgn}\left(i x^{2}\right)^{6}-20 \pi^{2} x^{5} \mathrm{csgn}\left(i x^{2}\right)^{6}-150 \pi^{2} x^{4} \mathrm{csgn}\left(i x^{2}\right)^{6}+4 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{5} \mathrm{csgn}\left(i x \right)-6 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}-498 \pi^{2} x^{3} \mathrm{csgn}\left(i x^{2}\right)^{6}+50 x \,\pi^{2} \mathrm{csgn}\left(i x \right)^{4} \mathrm{csgn}\left(i x^{2}\right)^{2}-200 x \,\pi^{2} \mathrm{csgn}\left(i x \right)^{3} \mathrm{csgn}\left(i x^{2}\right)^{3}+300 x \,\pi^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}-200 x \,\pi^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}+4 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)^{3}+1992 \pi^{2} x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}-2988 \pi^{2} x^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}-\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}-900 \pi^{2} x^{4} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)^{4}+600 \pi^{2} x^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{5}+200 i \pi  \ln \left(2\right) x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-400 i \pi  \ln \left(2\right) x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-80 i \pi  \ln \left(2\right) x^{5} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+160 i \pi  \ln \left(2\right) x^{5} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-600 i \pi  \ln \left(2\right) x^{4} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+1200 i \pi  \ln \left(2\right) x^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-1992 i \pi  \ln \left(2\right) x^{3} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+3984 i \pi  \ln \left(2\right) x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-2420 i \pi  \ln \left(2\right) x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+4840 i \pi  \ln \left(2\right) x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-4 i \pi  \ln \left(2\right) x^{6} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+8 i \pi  \ln \left(2\right) x^{6} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{4 \left(x^{4}+20 x^{3}+150 x^{2}+500 x +625\right) \left(x -2 \,{\mathrm e}^{x^{2}}\right)}$&$1812$\\ \hline \end{longtable}"," ",0,"4*(x^6+20*x^5+150*x^4+498*x^3+605*x^2-50*x+1)/(x^4+20*x^3+150*x^2+500*x+625)/(x-2*exp(x^2))*ln(x)^2+2*(2*ln(2)+300*x^4*ln(2)+40*x^5*ln(2)+2*x^6*ln(2)-100*x*ln(2)+1210*x^2*ln(2)+996*x^3*ln(2)-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3-605*I*Pi*x^2*csgn(I*x^2)^3+50*I*Pi*x*csgn(I*x^2)^3-I*Pi*x^6*csgn(I*x^2)^3-20*I*Pi*x^5*csgn(I*x^2)^3-150*I*Pi*x^4*csgn(I*x^2)^3-498*I*Pi*x^3*csgn(I*x^2)^3-I*Pi*x^6*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*x^6*csgn(I*x)*csgn(I*x^2)^2+50*I*Pi*x*csgn(I*x)^2*csgn(I*x^2)-100*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2-605*I*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+1210*I*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2-20*I*Pi*x^5*csgn(I*x)^2*csgn(I*x^2)+40*I*Pi*x^5*csgn(I*x)*csgn(I*x^2)^2-150*I*Pi*x^4*csgn(I*x)^2*csgn(I*x^2)+300*I*Pi*x^4*csgn(I*x)*csgn(I*x^2)^2-498*I*Pi*x^3*csgn(I*x)^2*csgn(I*x^2)+996*I*Pi*x^3*csgn(I*x)*csgn(I*x^2)^2)/(5+x)/(x^3+15*x^2+75*x+125)/(x-2*exp(x^2))*ln(x)+1/4*(4*x^6*ln(2)^2+4*ln(2)^2+80*x^5*ln(2)^2+600*x^4*ln(2)^2+1992*x^3*ln(2)^2-200*x*ln(2)^2+2420*x^2*ln(2)^2+50*x*Pi^2*csgn(I*x)^4*csgn(I*x^2)^2-200*x*Pi^2*csgn(I*x)^3*csgn(I*x^2)^3+300*x*Pi^2*csgn(I*x)^2*csgn(I*x^2)^4-200*x*Pi^2*csgn(I*x)*csgn(I*x^2)^5-605*Pi^2*x^2*csgn(I*x)^4*csgn(I*x^2)^2+2420*Pi^2*x^2*csgn(I*x)^3*csgn(I*x^2)^3-3630*Pi^2*x^2*csgn(I*x)^2*csgn(I*x^2)^4+2420*Pi^2*x^2*csgn(I*x)*csgn(I*x^2)^5-498*Pi^2*x^3*csgn(I*x)^4*csgn(I*x^2)^2+1992*Pi^2*x^3*csgn(I*x)^3*csgn(I*x^2)^3-Pi^2*x^6*csgn(I*x)^4*csgn(I*x^2)^2+4*Pi^2*x^6*csgn(I*x)^3*csgn(I*x^2)^3-6*Pi^2*x^6*csgn(I*x)^2*csgn(I*x^2)^4+4*Pi^2*x^6*csgn(I*x)*csgn(I*x^2)^5-4*I*ln(2)*Pi*csgn(I*x^2)^3-Pi^2*x^6*csgn(I*x^2)^6-20*Pi^2*x^5*csgn(I*x)^4*csgn(I*x^2)^2+80*Pi^2*x^5*csgn(I*x)^3*csgn(I*x^2)^3-120*Pi^2*x^5*csgn(I*x)^2*csgn(I*x^2)^4+80*Pi^2*x^5*csgn(I*x)*csgn(I*x^2)^5-20*Pi^2*x^5*csgn(I*x^2)^6-150*Pi^2*x^4*csgn(I*x)^4*csgn(I*x^2)^2+600*Pi^2*x^4*csgn(I*x)^3*csgn(I*x^2)^3-900*Pi^2*x^4*csgn(I*x)^2*csgn(I*x^2)^4+600*Pi^2*x^4*csgn(I*x)*csgn(I*x^2)^5-150*Pi^2*x^4*csgn(I*x^2)^6+4*Pi^2*csgn(I*x^2)^5*csgn(I*x)-6*Pi^2*csgn(I*x^2)^4*csgn(I*x)^2+4*Pi^2*csgn(I*x^2)^3*csgn(I*x)^3-Pi^2*csgn(I*x^2)^2*csgn(I*x)^4-605*Pi^2*x^2*csgn(I*x^2)^6-Pi^2*csgn(I*x^2)^6+50*x*Pi^2*csgn(I*x^2)^6-498*Pi^2*x^3*csgn(I*x^2)^6+1992*Pi^2*x^3*csgn(I*x)*csgn(I*x^2)^5-1992*I*Pi*ln(2)*x^3*csgn(I*x^2)^3-2420*I*Pi*ln(2)*x^2*csgn(I*x^2)^3+200*I*Pi*ln(2)*x*csgn(I*x^2)^3-4*I*Pi*ln(2)*x^6*csgn(I*x^2)^3-80*I*Pi*ln(2)*x^5*csgn(I*x^2)^3-600*I*Pi*ln(2)*x^4*csgn(I*x^2)^3-4*I*ln(2)*Pi*csgn(I*x)^2*csgn(I*x^2)+8*I*ln(2)*Pi*csgn(I*x)*csgn(I*x^2)^2-2988*Pi^2*x^3*csgn(I*x)^2*csgn(I*x^2)^4+200*I*Pi*ln(2)*x*csgn(I*x)^2*csgn(I*x^2)-400*I*Pi*ln(2)*x*csgn(I*x)*csgn(I*x^2)^2-80*I*Pi*ln(2)*x^5*csgn(I*x)^2*csgn(I*x^2)+160*I*Pi*ln(2)*x^5*csgn(I*x)*csgn(I*x^2)^2-600*I*Pi*ln(2)*x^4*csgn(I*x)^2*csgn(I*x^2)+1200*I*Pi*ln(2)*x^4*csgn(I*x)*csgn(I*x^2)^2-1992*I*Pi*ln(2)*x^3*csgn(I*x)^2*csgn(I*x^2)+3984*I*Pi*ln(2)*x^3*csgn(I*x)*csgn(I*x^2)^2-2420*I*Pi*ln(2)*x^2*csgn(I*x)^2*csgn(I*x^2)+4840*I*Pi*ln(2)*x^2*csgn(I*x)*csgn(I*x^2)^2-4*I*Pi*ln(2)*x^6*csgn(I*x)^2*csgn(I*x^2)+8*I*Pi*ln(2)*x^6*csgn(I*x)*csgn(I*x^2)^2)/(x^4+20*x^3+150*x^2+500*x+625)/(x-2*exp(x^2))","C"
8823,1,26,23,0.060000," ","int(1/4*(-4*x^2*exp(exp(9))-96*x^4-192*x^3+x^2-16)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-8 x^{3}-24 x^{2}-x \,{\mathrm e}^{{\mathrm e}^{9}}+\frac{x}{4}+\frac{4}{x}$&$26$\\ risch&$-8 x^{3}-24 x^{2}-x \,{\mathrm e}^{{\mathrm e}^{9}}+\frac{x}{4}+\frac{4}{x}$&$26$\\ norman&$\frac{4+\left(-{\mathrm e}^{{\mathrm e}^{9}}+\frac{1}{4}\right) x^{2}-24 x^{3}-8 x^{4}}{x}$&$28$\\ gosper&$-\frac{32 x^{4}+4 x^{2} {\mathrm e}^{{\mathrm e}^{9}}+96 x^{3}-x^{2}-16}{4 x}$&$31$\\ \hline \end{longtable}"," ",0,"-8*x^3-24*x^2-x*exp(exp(9))+1/4*x+4/x","A"
8824,1,26,29,0.093000," ","int((15*ln(x)+3*exp(x-1)+6*x*ln(3)+6*x+12)/(5*x*ln(x)+exp(x-1)+x^2*ln(3)+x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 \ln \left(5 x \ln \left(x \right)+{\mathrm e}^{x -1}+x^{2} \ln \left(3\right)+x^{2}-x \right)$&$26$\\ norman&$3 \ln \left(5 x \ln \left(x \right)+{\mathrm e}^{x -1}+x^{2} \ln \left(3\right)+x^{2}-x \right)$&$26$\\ risch&$3 \ln \left(x \right)+3 \ln \left(\ln \left(x \right)+\frac{x^{2} \ln \left(3\right)+x^{2}-x +{\mathrm e}^{x -1}}{5 x}\right)$&$34$\\ \hline \end{longtable}"," ",0,"3*ln(5*x*ln(x)+exp(x-1)+x^2*ln(3)+x^2-x)","A"
8825,1,18,17,0.033000," ","int((2*x^2-1)*exp(-ln(x)+exp(exp(4))-exp(4)+x^2+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\ln \left(x \right)+{\mathrm e}^{{\mathrm e}^{4}}-{\mathrm e}^{4}+x^{2}+1}$&$18$\\ norman&${\mathrm e}^{-\ln \left(x \right)+{\mathrm e}^{{\mathrm e}^{4}}-{\mathrm e}^{4}+x^{2}+1}$&$18$\\ risch&$\frac{{\mathrm e}^{1+{\mathrm e}^{{\mathrm e}^{4}}-{\mathrm e}^{4}+x^{2}}}{x}$&$18$\\ default&${\mathrm e} \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{4}}} {\mathrm e}^{-{\mathrm e}^{4}} \sqrt{\pi}\, \erfi \left(x \right)-{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{4}}} {\mathrm e}^{-{\mathrm e}^{4}} \left(-\frac{{\mathrm e}^{x^{2}}}{x}+\sqrt{\pi}\, \erfi \left(x \right)\right)$&$48$\\ \hline \end{longtable}"," ",0,"exp(-ln(x)+exp(exp(4))-exp(4)+x^2+1)","A"
8826,1,157,24,1.419000," ","int(((-3072*x^3-9216*x^2-9216*x-3072)*ln(2)^4+(3840*x^4+6144*x^3-3072*x-768)*ln(2)^3+(-1728*x^5+2304*x^3-576*x)*ln(2)^2+(336*x^6-576*x^5+384*x^3-144*x^2)*ln(2)-24*x^7+84*x^6-108*x^5+60*x^4-12*x^3)/((65536*x^8+524288*x^7+1835008*x^6+3670016*x^5+4587520*x^4+3670016*x^3+1835008*x^2+524288*x+65536)*ln(2)^8+(-131072*x^9-786432*x^8-1835008*x^7-1835008*x^6+1835008*x^4+1835008*x^3+786432*x^2+131072*x)*ln(2)^7+(114688*x^10+458752*x^9+458752*x^8-458752*x^7-1146880*x^6-458752*x^5+458752*x^4+458752*x^3+114688*x^2)*ln(2)^6+(-57344*x^11-114688*x^10+114688*x^9+344064*x^8-344064*x^6-114688*x^5+114688*x^4+57344*x^3)*ln(2)^5+(17920*x^12-71680*x^10+107520*x^8-71680*x^6+17408*x^4-2048*x^3-3072*x^2-2048*x-512)*ln(2)^4+(-3584*x^13+7168*x^12+7168*x^11-21504*x^10+21504*x^8-7168*x^7-7168*x^6+4096*x^5+1024*x^4-1024*x^2-512*x)*ln(2)^3+(448*x^14-1792*x^13+1792*x^12+1792*x^11-4480*x^10+1792*x^9+1792*x^8-1792*x^7+256*x^6+384*x^4-192*x^2)*ln(2)^2+(-32*x^15+192*x^14-448*x^13+448*x^12-448*x^10+448*x^9-192*x^8+64*x^7-64*x^6+64*x^4-32*x^3)*ln(2)+x^16-8*x^15+28*x^14-56*x^13+70*x^12-56*x^11+28*x^10-8*x^9-x^8+8*x^7-12*x^6+8*x^5-2*x^4+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{3}{256 \ln \left(2\right)^{4} x^{4}-256 x^{5} \ln \left(2\right)^{3}+96 x^{6} \ln \left(2\right)^{2}-16 x^{7} \ln \left(2\right)+x^{8}+1024 x^{3} \ln \left(2\right)^{4}-512 x^{4} \ln \left(2\right)^{3}+32 x^{6} \ln \left(2\right)-4 x^{7}+1536 x^{2} \ln \left(2\right)^{4}-192 x^{4} \ln \left(2\right)^{2}+6 x^{6}+1024 x \ln \left(2\right)^{4}+512 x^{2} \ln \left(2\right)^{3}-32 x^{4} \ln \left(2\right)-4 x^{5}+256 \ln \left(2\right)^{4}+256 x \ln \left(2\right)^{3}+96 x^{2} \ln \left(2\right)^{2}+16 x^{3} \ln \left(2\right)+x^{4}-1}$&$157$\\ default&$-\frac{3}{32 \left(x^{2} \ln \left(2\right)^{2}-\frac{x^{3} \ln \left(2\right)}{2}+\frac{x^{4}}{16}+2 x \ln \left(2\right)^{2}-\frac{x^{3}}{8}+\ln \left(2\right)^{2}+\frac{x \ln \left(2\right)}{2}+\frac{x^{2}}{16}+\frac{1}{16}\right)}+\frac{-3+\frac{3 \left(1+4 \ln \left(2\right)\right) \left(-4 \ln \left(2\right)-1\right)}{4}-12 \ln \left(2\right)}{\left(-16 \ln \left(2\right)^{2}-24 \ln \left(2\right)-5\right) \left(-4 x \ln \left(2\right)+x^{2}-4 \ln \left(2\right)-x -1\right)}+\frac{-3+\frac{3 \left(-4 \ln \left(2\right)-1\right)^{2}}{4}+12 \ln \left(2\right)}{\left(-16 \ln \left(2\right)^{2}-24 \ln \left(2\right)+3\right) \left(-4 x \ln \left(2\right)+x^{2}-4 \ln \left(2\right)-x +1\right)}$&$157$\\ norman&$\frac{3}{256 \ln \left(2\right)^{4} x^{4}-256 x^{5} \ln \left(2\right)^{3}+96 x^{6} \ln \left(2\right)^{2}-16 x^{7} \ln \left(2\right)+x^{8}+1024 x^{3} \ln \left(2\right)^{4}-512 x^{4} \ln \left(2\right)^{3}+32 x^{6} \ln \left(2\right)-4 x^{7}+1536 x^{2} \ln \left(2\right)^{4}-192 x^{4} \ln \left(2\right)^{2}+6 x^{6}+1024 x \ln \left(2\right)^{4}+512 x^{2} \ln \left(2\right)^{3}-32 x^{4} \ln \left(2\right)-4 x^{5}+256 \ln \left(2\right)^{4}+256 x \ln \left(2\right)^{3}+96 x^{2} \ln \left(2\right)^{2}+16 x^{3} \ln \left(2\right)+x^{4}-1}$&$157$\\ risch&$\frac{3}{256 \left(\ln \left(2\right)^{4} x^{4}-x^{5} \ln \left(2\right)^{3}+\frac{3 x^{6} \ln \left(2\right)^{2}}{8}-\frac{x^{7} \ln \left(2\right)}{16}+\frac{x^{8}}{256}+4 x^{3} \ln \left(2\right)^{4}-2 x^{4} \ln \left(2\right)^{3}+\frac{x^{6} \ln \left(2\right)}{8}-\frac{x^{7}}{64}+6 x^{2} \ln \left(2\right)^{4}-\frac{3 x^{4} \ln \left(2\right)^{2}}{4}+\frac{3 x^{6}}{128}+4 x \ln \left(2\right)^{4}+2 x^{2} \ln \left(2\right)^{3}-\frac{x^{4} \ln \left(2\right)}{8}-\frac{x^{5}}{64}+\ln \left(2\right)^{4}+x \ln \left(2\right)^{3}+\frac{3 x^{2} \ln \left(2\right)^{2}}{8}+\frac{x^{3} \ln \left(2\right)}{16}+\frac{x^{4}}{256}-\frac{1}{256}\right)}$&$157$\\ \hline \end{longtable}"," ",0,"3/(256*ln(2)^4*x^4-256*x^5*ln(2)^3+96*x^6*ln(2)^2-16*x^7*ln(2)+x^8+1024*x^3*ln(2)^4-512*x^4*ln(2)^3+32*x^6*ln(2)-4*x^7+1536*x^2*ln(2)^4-192*x^4*ln(2)^2+6*x^6+1024*x*ln(2)^4+512*x^2*ln(2)^3-32*x^4*ln(2)-4*x^5+256*ln(2)^4+256*x*ln(2)^3+96*x^2*ln(2)^2+16*x^3*ln(2)+x^4-1)","B"
8827,1,27,19,0.149000," ","int(1/10*(2*(-8*x^2+11*x-11)*ln(2)+8*x^3+5*x^2-11*x+11)*exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{{\mathrm e}^{x} \left(16 x \ln \left(2\right)-8 x^{2}-22 \ln \left(2\right)+3 x +11\right)}{10 x}$&$27$\\ risch&$-\frac{{\mathrm e}^{x} \left(16 x \ln \left(2\right)-8 x^{2}-22 \ln \left(2\right)+3 x +11\right)}{10 x}$&$27$\\ norman&$\frac{\left(\frac{11 \ln \left(2\right)}{5}-\frac{11}{10}\right) {\mathrm e}^{x}+\left(-\frac{8 \ln \left(2\right)}{5}-\frac{3}{10}\right) x \,{\mathrm e}^{x}+\frac{4 \,{\mathrm e}^{x} x^{2}}{5}}{x}$&$32$\\ default&$-\frac{11 \,{\mathrm e}^{x}}{10 x}+\frac{4 \,{\mathrm e}^{x} x}{5}-\frac{3 \,{\mathrm e}^{x}}{10}-\frac{8 \,{\mathrm e}^{x} \ln \left(2\right)}{5}+\frac{11 \ln \left(2\right) {\mathrm e}^{x}}{5 x}$&$33$\\ meijerg&$-\frac{11}{10 x}-\frac{3}{10}+\frac{11 \ln \left(x \right)}{10}+\frac{11 i \pi}{10}+\frac{\frac{11 x}{10}+\frac{11}{10}}{x}-\frac{11 \,{\mathrm e}^{x}}{10 x}-\frac{11 \ln \left(-x \right)}{10}-\frac{11 \expIntegralEi \left(1, -x \right)}{10}-\left(-\frac{8 \ln \left(2\right)}{5}+\frac{1}{2}\right) \left(1-{\mathrm e}^{x}\right)-\left(-\frac{11 \ln \left(2\right)}{5}+\frac{11}{10}\right) \left(\ln \left(x \right)+i \pi -\ln \left(-x \right)-\expIntegralEi \left(1, -x \right)\right)-\frac{2 \left(-2 x +2\right) {\mathrm e}^{x}}{5}+\frac{11 \ln \left(2\right) \left(\frac{1}{x}+1-\ln \left(x \right)-i \pi -\frac{2 x +2}{2 x}+\frac{{\mathrm e}^{x}}{x}+\ln \left(-x \right)+\expIntegralEi \left(1, -x \right)\right)}{5}$&$139$\\ \hline \end{longtable}"," ",0,"-1/10*exp(x)*(16*x*ln(2)-8*x^2-22*ln(2)+3*x+11)/x","A"
8828,1,97,24,0.142000," ","int((4*(x^3+3*x^2+3*x+1)*exp(4)^2*ln(2)^2+2*((4*x^4+14*x^3+18*x^2+4*x-4)*exp(4)^2+(8*x^3+24*x^2+24*x+8)*exp(4))*ln(2)+(3*x^5+13*x^4+16*x^3-20*x+4)*exp(4)^2+(16*x^4+56*x^3+72*x^2+16*x-16)*exp(4)+16*x^3+48*x^2+48*x+16)/(x^3+3*x^2+3*x+1)/exp(4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \ln \left(2\right)^{2}+4 x^{2} \ln \left(2\right)+x^{3}+4 x \ln \left(2\right)+2 x^{2}+16 \,{\mathrm e}^{-4} x \ln \left(2\right)-5 x +8 \,{\mathrm e}^{-4} x^{2}+8 x \,{\mathrm e}^{-4}+16 x \,{\mathrm e}^{-8}+\frac{{\mathrm e}^{-8} \left(\left(9 \,{\mathrm e}^{8}+12 \,{\mathrm e}^{8} \ln \left(2\right)+24 \,{\mathrm e}^{4}\right) x +12 \,{\mathrm e}^{8} \ln \left(2\right)+24 \,{\mathrm e}^{4}\right)}{x^{2}+2 x +1}$&$97$\\ default&${\mathrm e}^{-8} \left(4 x \,{\mathrm e}^{8} \ln \left(2\right)^{2}+4 x^{2} {\mathrm e}^{8} \ln \left(2\right)+x^{3} {\mathrm e}^{8}+16 x \,{\mathrm e}^{4} \ln \left(2\right)+4 \,{\mathrm e}^{8} \ln \left(2\right) x +8 x^{2} {\mathrm e}^{4}+2 x^{2} {\mathrm e}^{8}+8 x \,{\mathrm e}^{4}-5 x \,{\mathrm e}^{8}+16 x -\frac{9 \,{\mathrm e}^{8}}{\left(x +1\right)^{2}}-\frac{-9 \,{\mathrm e}^{8}-12 \,{\mathrm e}^{8} \ln \left(2\right)-24 \,{\mathrm e}^{4}}{x +1}\right)$&$103$\\ norman&$\frac{\left(x^{5} {\mathrm e}^{4}-4 \left(3 \,{\mathrm e}^{8} \ln \left(2\right)^{2}+2 \,{\mathrm e}^{8} \ln \left(2\right)+12 \,{\mathrm e}^{4} \ln \left(2\right)-5 \,{\mathrm e}^{8}+4 \,{\mathrm e}^{4}+12\right) {\mathrm e}^{-4} x +\left(4 \,{\mathrm e}^{4} \ln \left(2\right)+4 \,{\mathrm e}^{4}+8\right) x^{4}+4 \left({\mathrm e}^{8} \ln \left(2\right)^{2}+3 \,{\mathrm e}^{8} \ln \left(2\right)+4 \,{\mathrm e}^{4} \ln \left(2\right)+6 \,{\mathrm e}^{4}+4\right) {\mathrm e}^{-4} x^{3}-8 \left({\mathrm e}^{8} \ln \left(2\right)^{2}+4 \,{\mathrm e}^{4} \ln \left(2\right)-{\mathrm e}^{8}+4\right) {\mathrm e}^{-4}\right) {\mathrm e}^{-4}}{\left(x +1\right)^{2}}$&$144$\\ gosper&$\frac{\left(4 \ln \left(2\right)^{2} {\mathrm e}^{8} x^{3}+4 \ln \left(2\right) {\mathrm e}^{8} x^{4}+{\mathrm e}^{8} x^{5}+12 \ln \left(2\right) {\mathrm e}^{8} x^{3}+4 x^{4} {\mathrm e}^{8}-12 x \,{\mathrm e}^{8} \ln \left(2\right)^{2}+16 x^{3} {\mathrm e}^{4} \ln \left(2\right)+8 x^{4} {\mathrm e}^{4}-8 \,{\mathrm e}^{8} \ln \left(2\right)^{2}-8 \,{\mathrm e}^{8} \ln \left(2\right) x +24 x^{3} {\mathrm e}^{4}-48 x \,{\mathrm e}^{4} \ln \left(2\right)+20 x \,{\mathrm e}^{8}+16 x^{3}-32 \,{\mathrm e}^{4} \ln \left(2\right)+8 \,{\mathrm e}^{8}-16 x \,{\mathrm e}^{4}-48 x -32\right) {\mathrm e}^{-8}}{x^{2}+2 x +1}$&$162$\\ \hline \end{longtable}"," ",0,"4*x*ln(2)^2+4*x^2*ln(2)+x^3+4*x*ln(2)+2*x^2+16*exp(-4)*x*ln(2)-5*x+8*exp(-4)*x^2+8*x*exp(-4)+16*x*exp(-8)+exp(-8)*((9*exp(8)+12*exp(8)*ln(2)+24*exp(4))*x+12*exp(8)*ln(2)+24*exp(4))/(x^2+2*x+1)","B"
8829,1,30,26,0.061000," ","int(((-4*ln(5)-4*x^2+2)*exp(1/2*(2*ln(5)-2*x^2+x-1)/x)-256*x^5)*ln(exp(1/2*(2*ln(5)-2*x^2+x-1)/x)-16*x^4)^3/(x^2*exp(1/2*(2*ln(5)-2*x^2+x-1)/x)-16*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{\frac{2 \ln \left(5\right)-2 x^{2}+x -1}{2 x}}-16 x^{4}\right)^{4}-\frac{3}{2}$&$30$\\ \hline \end{longtable}"," ",0,"ln(exp(1/2*(2*ln(5)-2*x^2+x-1)/x)-16*x^4)^4-3/2","A"
8830,1,144,26,0.494000," ","int(((24*x^6-52*x^5-60*x^4)*ln(3-x)^4+(112*x^6-192*x^5-240*x^4)*ln(3-x)^3+((-32*x^4+72*x^3+72*x^2)*exp(3)+192*x^6-264*x^5-360*x^4)*ln(3-x)^2+((-80*x^4+128*x^3+144*x^2)*exp(3)+144*x^6-160*x^5-240*x^4)*ln(3-x)+(8*x^2-20*x-12)*exp(3)^2+(-48*x^4+56*x^3+72*x^2)*exp(3)+40*x^6-36*x^5-60*x^4)/(x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(4 x^{6}+4 x^{5}\right) \ln \left(3-x \right)^{4}+\left(16 x^{6}+16 x^{5}\right) \ln \left(3-x \right)^{3}+\left(24 x^{6}-8 x^{4} {\mathrm e}^{3}+24 x^{5}-8 x^{3} {\mathrm e}^{3}\right) \ln \left(3-x \right)^{2}+\left(16 x^{6}-16 x^{4} {\mathrm e}^{3}+16 x^{5}-16 x^{3} {\mathrm e}^{3}\right) \ln \left(3-x \right)+4 x^{6}-8 x^{4} {\mathrm e}^{3}+4 x^{5}+4 x^{2} {\mathrm e}^{6}-8 x^{3} {\mathrm e}^{3}+4 x \,{\mathrm e}^{6}$&$144$\\ derivativedivides&$-22356+7452 x +5940 \left(3-x \right)^{2}+3240 \left(3-x \right) {\mathrm e}^{3}-29808 \left(3-x \right) \ln \left(3-x \right)+15552 \ln \left(3-x \right)-2520 \left(3-x \right)^{3}+600 \left(3-x \right)^{4}+4 \left(3-x \right)^{6}-76 \left(3-x \right)^{5}+4 \,{\mathrm e}^{6} \left(3-x \right)^{2}-28 \,{\mathrm e}^{6} \left(3-x \right)+4320 \,{\mathrm e}^{3} \left(\left(3-x \right) \ln \left(3-x \right)-3+x \right)-456 \ln \left(3-x \right)^{2} \left(3-x \right)^{5}+16 \ln \left(3-x \right) \left(3-x \right)^{6}+5940 \ln \left(3-x \right)^{4} \left(3-x \right)^{2}-10080 \ln \left(3-x \right)^{3} \left(3-x \right)^{3}+3600 \ln \left(3-x \right)^{2} \left(3-x \right)^{4}-304 \ln \left(3-x \right) \left(3-x \right)^{5}-12 \,{\mathrm e}^{3} \left(3-x \right)^{4}-7452 \ln \left(3-x \right)^{4} \left(3-x \right)+23760 \ln \left(3-x \right)^{3} \left(3-x \right)^{2}-15120 \ln \left(3-x \right)^{2} \left(3-x \right)^{3}+2400 \ln \left(3-x \right) \left(3-x \right)^{4}+\frac{520 \,{\mathrm e}^{3} \left(3-x \right)^{3}}{3}-29808 \ln \left(3-x \right)^{3} \left(3-x \right)+35640 \ln \left(3-x \right)^{2} \left(3-x \right)^{2}-10080 \ln \left(3-x \right) \left(3-x \right)^{3}-1008 \,{\mathrm e}^{3} \left(3-x \right)^{2}-44712 \ln \left(3-x \right)^{2} \left(3-x \right)+23760 \ln \left(3-x \right) \left(3-x \right)^{2}-1728 \,{\mathrm e}^{3} \ln \left(3-x \right)+4 \ln \left(3-x \right)^{4} \left(3-x \right)^{6}-76 \ln \left(3-x \right)^{4} \left(3-x \right)^{5}+16 \ln \left(3-x \right)^{3} \left(3-x \right)^{6}+600 \ln \left(3-x \right)^{4} \left(3-x \right)^{4}-304 \ln \left(3-x \right)^{3} \left(3-x \right)^{5}+24 \ln \left(3-x \right)^{2} \left(3-x \right)^{6}-2520 \ln \left(3-x \right)^{4} \left(3-x \right)^{3}+2400 \ln \left(3-x \right)^{3} \left(3-x \right)^{4}-864 \,{\mathrm e}^{3} \ln \left(3-x \right)^{2}+832 \,{\mathrm e}^{3} \left(\frac{\ln \left(3-x \right) \left(3-x \right)^{3}}{3}-\frac{\left(3-x \right)^{3}}{9}\right)-3024 \,{\mathrm e}^{3} \left(\frac{\ln \left(3-x \right) \left(3-x \right)^{2}}{2}-\frac{\left(3-x \right)^{2}}{4}\right)-32 \,{\mathrm e}^{3} \left(\frac{\ln \left(3-x \right)^{2} \left(3-x \right)^{4}}{4}-\frac{\ln \left(3-x \right) \left(3-x \right)^{4}}{8}+\frac{\left(3-x \right)^{4}}{32}\right)+312 \,{\mathrm e}^{3} \left(\frac{\ln \left(3-x \right)^{2} \left(3-x \right)^{3}}{3}-\frac{2 \ln \left(3-x \right) \left(3-x \right)^{3}}{9}+\frac{2 \left(3-x \right)^{3}}{27}\right)-80 \,{\mathrm e}^{3} \left(\frac{\ln \left(3-x \right) \left(3-x \right)^{4}}{4}-\frac{\left(3-x \right)^{4}}{16}\right)-1008 \,{\mathrm e}^{3} \left(\frac{\ln \left(3-x \right)^{2} \left(3-x \right)^{2}}{2}-\frac{\ln \left(3-x \right) \left(3-x \right)^{2}}{2}+\frac{\left(3-x \right)^{2}}{4}\right)+1080 \,{\mathrm e}^{3} \left(\ln \left(3-x \right)^{2} \left(3-x \right)-2 \left(3-x \right) \ln \left(3-x \right)+6-2 x \right)+3888 \ln \left(3-x \right)^{4}+15552 \ln \left(3-x \right)^{3}+23328 \ln \left(3-x \right)^{2}$&$845$\\ default&$-22356+7452 x +5940 \left(3-x \right)^{2}+3240 \left(3-x \right) {\mathrm e}^{3}-29808 \left(3-x \right) \ln \left(3-x \right)+15552 \ln \left(3-x \right)-2520 \left(3-x \right)^{3}+600 \left(3-x \right)^{4}+4 \left(3-x \right)^{6}-76 \left(3-x \right)^{5}+4 \,{\mathrm e}^{6} \left(3-x \right)^{2}-28 \,{\mathrm e}^{6} \left(3-x \right)+4320 \,{\mathrm e}^{3} \left(\left(3-x \right) \ln \left(3-x \right)-3+x \right)-456 \ln \left(3-x \right)^{2} \left(3-x \right)^{5}+16 \ln \left(3-x \right) \left(3-x \right)^{6}+5940 \ln \left(3-x \right)^{4} \left(3-x \right)^{2}-10080 \ln \left(3-x \right)^{3} \left(3-x \right)^{3}+3600 \ln \left(3-x \right)^{2} \left(3-x \right)^{4}-304 \ln \left(3-x \right) \left(3-x \right)^{5}-12 \,{\mathrm e}^{3} \left(3-x \right)^{4}-7452 \ln \left(3-x \right)^{4} \left(3-x \right)+23760 \ln \left(3-x \right)^{3} \left(3-x \right)^{2}-15120 \ln \left(3-x \right)^{2} \left(3-x \right)^{3}+2400 \ln \left(3-x \right) \left(3-x \right)^{4}+\frac{520 \,{\mathrm e}^{3} \left(3-x \right)^{3}}{3}-29808 \ln \left(3-x \right)^{3} \left(3-x \right)+35640 \ln \left(3-x \right)^{2} \left(3-x \right)^{2}-10080 \ln \left(3-x \right) \left(3-x \right)^{3}-1008 \,{\mathrm e}^{3} \left(3-x \right)^{2}-44712 \ln \left(3-x \right)^{2} \left(3-x \right)+23760 \ln \left(3-x \right) \left(3-x \right)^{2}-1728 \,{\mathrm e}^{3} \ln \left(3-x \right)+4 \ln \left(3-x \right)^{4} \left(3-x \right)^{6}-76 \ln \left(3-x \right)^{4} \left(3-x \right)^{5}+16 \ln \left(3-x \right)^{3} \left(3-x \right)^{6}+600 \ln \left(3-x \right)^{4} \left(3-x \right)^{4}-304 \ln \left(3-x \right)^{3} \left(3-x \right)^{5}+24 \ln \left(3-x \right)^{2} \left(3-x \right)^{6}-2520 \ln \left(3-x \right)^{4} \left(3-x \right)^{3}+2400 \ln \left(3-x \right)^{3} \left(3-x \right)^{4}-864 \,{\mathrm e}^{3} \ln \left(3-x \right)^{2}+832 \,{\mathrm e}^{3} \left(\frac{\ln \left(3-x \right) \left(3-x \right)^{3}}{3}-\frac{\left(3-x \right)^{3}}{9}\right)-3024 \,{\mathrm e}^{3} \left(\frac{\ln \left(3-x \right) \left(3-x \right)^{2}}{2}-\frac{\left(3-x \right)^{2}}{4}\right)-32 \,{\mathrm e}^{3} \left(\frac{\ln \left(3-x \right)^{2} \left(3-x \right)^{4}}{4}-\frac{\ln \left(3-x \right) \left(3-x \right)^{4}}{8}+\frac{\left(3-x \right)^{4}}{32}\right)+312 \,{\mathrm e}^{3} \left(\frac{\ln \left(3-x \right)^{2} \left(3-x \right)^{3}}{3}-\frac{2 \ln \left(3-x \right) \left(3-x \right)^{3}}{9}+\frac{2 \left(3-x \right)^{3}}{27}\right)-80 \,{\mathrm e}^{3} \left(\frac{\ln \left(3-x \right) \left(3-x \right)^{4}}{4}-\frac{\left(3-x \right)^{4}}{16}\right)-1008 \,{\mathrm e}^{3} \left(\frac{\ln \left(3-x \right)^{2} \left(3-x \right)^{2}}{2}-\frac{\ln \left(3-x \right) \left(3-x \right)^{2}}{2}+\frac{\left(3-x \right)^{2}}{4}\right)+1080 \,{\mathrm e}^{3} \left(\ln \left(3-x \right)^{2} \left(3-x \right)-2 \left(3-x \right) \ln \left(3-x \right)+6-2 x \right)+3888 \ln \left(3-x \right)^{4}+15552 \ln \left(3-x \right)^{3}+23328 \ln \left(3-x \right)^{2}$&$845$\\ \hline \end{longtable}"," ",0,"(4*x^6+4*x^5)*ln(3-x)^4+(16*x^6+16*x^5)*ln(3-x)^3+(24*x^6-8*x^4*exp(3)+24*x^5-8*x^3*exp(3))*ln(3-x)^2+(16*x^6-16*x^4*exp(3)+16*x^5-16*x^3*exp(3))*ln(3-x)+4*x^6-8*x^4*exp(3)+4*x^5+4*x^2*exp(6)-8*x^3*exp(3)+4*x*exp(6)","B"
8831,1,34,30,0.110000," ","int((5*x^2*ln(1/2*x)^2+(5*x^2+5)*exp(3)*exp((-x*exp(4)+x^2-1)/x)*ln(1/2*x)-5*x*exp(3)*exp((-x*exp(4)+x^2-1)/x)-20*x*exp(3))/x^2/ln(1/2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x +\frac{5 \,{\mathrm e}^{3} \left({\mathrm e}^{-\frac{x \,{\mathrm e}^{4}-x^{2}+1}{x}}+4\right)}{\ln \left(\frac{x}{2}\right)}$&$34$\\ default&$5 x +\frac{5 \,{\mathrm e}^{3} {\mathrm e}^{\frac{-x \,{\mathrm e}^{4}+x^{2}-1}{x}}}{\ln \left(\frac{x}{2}\right)}+\frac{20 \,{\mathrm e}^{3}}{\ln \left(\frac{x}{2}\right)}$&$40$\\ norman&$\frac{20 x \,{\mathrm e}^{3}+5 x^{2} \ln \left(\frac{x}{2}\right)+5 x \,{\mathrm e}^{3} {\mathrm e}^{\frac{-x \,{\mathrm e}^{4}+x^{2}-1}{x}}}{x \ln \left(\frac{x}{2}\right)}$&$46$\\ \hline \end{longtable}"," ",0,"5*x+5*exp(3)*(exp(-(x*exp(4)-x^2+1)/x)+4)/ln(1/2*x)","A"
8832,1,22,21,0.041000," ","int((-72*ln(x)-12*ln(5)-x*exp(3)+2*x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x \,{\mathrm e}^{3}+x^{2}-36 \ln \left(x \right)^{2}-12 \ln \left(5\right) \ln \left(x \right)$&$22$\\ norman&$-x \,{\mathrm e}^{3}+x^{2}-36 \ln \left(x \right)^{2}-12 \ln \left(5\right) \ln \left(x \right)$&$22$\\ risch&$-x \,{\mathrm e}^{3}+x^{2}-36 \ln \left(x \right)^{2}-12 \ln \left(5\right) \ln \left(x \right)$&$22$\\ \hline \end{longtable}"," ",0,"-x*exp(3)+x^2-36*ln(x)^2-12*ln(5)*ln(x)","A"
8833,1,29,27,0.039000," ","int((-6*x*ln(x)^3+(-18*x^3+18*x^2)*ln(x)^2+(-18*x^5+36*x^4-18*x^3-50*x)*ln(x)-6*x^7+18*x^6-18*x^5+6*x^4-50*x^3-50*x^2+50*x-50)/(x*exp(x+1)^2*ln(x)^3+(3*x^3-3*x^2)*exp(x+1)^2*ln(x)^2+(3*x^5-6*x^4+3*x^3)*exp(x+1)^2*ln(x)+(x^7-3*x^6+3*x^5-x^4)*exp(x+1)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \,{\mathrm e}^{-2 x -2}+\frac{25 \,{\mathrm e}^{-2 x -2}}{\left(x^{2}+\ln \left(x \right)-x \right)^{2}}$&$29$\\ \hline \end{longtable}"," ",0,"3*exp(-2*x-2)+25/(x^2+ln(x)-x)^2*exp(-2*x-2)","A"
8834,1,25,23,0.064000," ","int(((-2*x*exp(exp(75)+4)-1)*ln(x)+1)/x/exp(exp(75)+4)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-{\mathrm e}^{75}-4} \left(-2 \,{\mathrm e}^{{\mathrm e}^{75}} {\mathrm e}^{4} x -\ln \left(x \right)+\ln \left(\ln \left(x \right)\right)\right)$&$25$\\ risch&$-2 x -\ln \left(x \right) {\mathrm e}^{-{\mathrm e}^{75}-4}+\ln \left(\ln \left(x \right)\right) {\mathrm e}^{-{\mathrm e}^{75}-4}$&$27$\\ norman&$-{\mathrm e}^{-{\mathrm e}^{75}} {\mathrm e}^{-4} \ln \left(x \right)-2 x +{\mathrm e}^{-{\mathrm e}^{75}} {\mathrm e}^{-4} \ln \left(\ln \left(x \right)\right)$&$31$\\ \hline \end{longtable}"," ",0,"1/exp(exp(75)+4)*(-2*exp(exp(75))*exp(4)*x-ln(x)+ln(ln(x)))","A"
8835,1,14,19,0.523000," ","int((2*ln(x)+2*exp(25/4*exp(1)^2)^4-2)/(ln(x)^2+2*exp(25/4*exp(1)^2)^4*ln(x)+exp(25/4*exp(1)^2)^8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{{\mathrm e}^{25 \,{\mathrm e}^{2}}+\ln \left(x \right)}$&$14$\\ default&$\frac{2 x}{{\mathrm e}^{25 \,{\mathrm e}^{2}}+\ln \left(x \right)}$&$16$\\ norman&$\frac{2 x}{{\mathrm e}^{25 \,{\mathrm e}^{2}}+\ln \left(x \right)}$&$18$\\ \hline \end{longtable}"," ",0,"2*x/(exp(25*exp(2))+ln(x))","A"
8836,1,196,29,0.073000," ","int(1/25*(((4*x^4+12*x^3+18*x^2+14*x+6)*exp(x)^4+(-80*x^4-320*x^3-480*x^2-400*x-160)*exp(x)^2+1600*x^3+2400*x^2+2400*x+675)*ln(x)^3+((8*x^3+14*x^2+12*x+2)*exp(x)^4+(-160*x^3-400*x^2-320*x-80)*exp(x)^2+2400*x^2+1600*x+800)*ln(x)^2+((2*x^2-2)*exp(x)^4+80*exp(x)^2-800*x^2-800)*ln(x)-2*x*exp(x)^4+80*x*exp(x)^2-800*x)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4} {\mathrm e}^{4 x}}{25}+\frac{2 x^{3} {\mathrm e}^{4 x}}{25}-\frac{8 \,{\mathrm e}^{2 x} x^{4}}{5}+\frac{3 x^{2} {\mathrm e}^{4 x}}{25}-\frac{16 \,{\mathrm e}^{2 x} x^{3}}{5}+\frac{2 x \,{\mathrm e}^{4 x}}{25}+16 x^{4}-\frac{24 \,{\mathrm e}^{2 x} x^{2}}{5}+\frac{{\mathrm e}^{4 x}}{25}+32 x^{3}-\frac{16 x \,{\mathrm e}^{2 x}}{5}+48 x^{2}-\frac{8 \,{\mathrm e}^{2 x}}{5}+27 x +\frac{x \left(2 \ln \left(x \right) {\mathrm e}^{4 x} x^{2}+2 x \,{\mathrm e}^{4 x} \ln \left(x \right)-80 x^{2} {\mathrm e}^{2 x} \ln \left(x \right)+x \,{\mathrm e}^{4 x}+2 \ln \left(x \right) {\mathrm e}^{4 x}-80 x \,{\mathrm e}^{2 x} \ln \left(x \right)+800 x^{2} \ln \left(x \right)-40 x \,{\mathrm e}^{2 x}-80 \ln \left(x \right) {\mathrm e}^{2 x}+800 x \ln \left(x \right)+400 x +800 \ln \left(x \right)\right)}{25 \ln \left(x \right)^{2}}$&$196$\\ \hline \end{longtable}"," ",0,"1/25*x^4*exp(4*x)+2/25*x^3*exp(4*x)-8/5*exp(2*x)*x^4+3/25*x^2*exp(4*x)-16/5*exp(2*x)*x^3+2/25*x*exp(4*x)+16*x^4-24/5*exp(2*x)*x^2+1/25*exp(4*x)+32*x^3-16/5*x*exp(2*x)+48*x^2-8/5*exp(2*x)+27*x+1/25*x*(2*ln(x)*exp(4*x)*x^2+2*x*exp(4*x)*ln(x)-80*x^2*exp(2*x)*ln(x)+x*exp(4*x)+2*ln(x)*exp(4*x)-80*x*exp(2*x)*ln(x)+800*x^2*ln(x)-40*x*exp(2*x)-80*ln(x)*exp(2*x)+800*x*ln(x)+400*x+800*ln(x))/ln(x)^2","B"
8837,1,26,16,0.024000," ","int(-10*x*ln(x)^2+1/9*(-270*x^2-90*x)*ln(x)-20*x^3-10*x^2+7/9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{7 x}{9}-5 x^{4}-5 x^{2} \ln \left(x \right)^{2}-10 x^{3} \ln \left(x \right)$&$26$\\ norman&$\frac{7 x}{9}-5 x^{4}-5 x^{2} \ln \left(x \right)^{2}-10 x^{3} \ln \left(x \right)$&$26$\\ risch&$\frac{7 x}{9}-5 x^{4}-5 x^{2} \ln \left(x \right)^{2}-10 x^{3} \ln \left(x \right)$&$26$\\ \hline \end{longtable}"," ",0,"7/9*x-5*x^4-5*x^2*ln(x)^2-10*x^3*ln(x)","A"
8838,1,13,10,0.457000," ","int(((13*x-6)*ln(-13/2*x+3)-52*x+30)/(13*x-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(-\frac{13 x}{2}+3\right) x -5 x$&$13$\\ risch&$\ln \left(-\frac{13 x}{2}+3\right) x -5 x$&$13$\\ derivativedivides&$-\frac{2 \left(-\frac{13 x}{2}+3\right) \ln \left(-\frac{13 x}{2}+3\right)}{13}-5 x +\frac{30}{13}+\frac{6 \ln \left(-\frac{13 x}{2}+3\right)}{13}$&$27$\\ default&$-\frac{2 \left(-\frac{13 x}{2}+3\right) \ln \left(-\frac{13 x}{2}+3\right)}{13}-5 x +\frac{30}{13}+\frac{6 \ln \left(-\frac{13 x}{2}+3\right)}{13}$&$27$\\ \hline \end{longtable}"," ",0,"ln(-13/2*x+3)*x-5*x","A"
8839,1,19,19,0.066000," ","int((7*x^2+14*x-14)*exp(x)/x^2/exp(((-7*x-14)*exp(x)-2*x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{7 \,{\mathrm e}^{x} x +14 \,{\mathrm e}^{x}+2 x}{x}}$&$19$\\ norman&${\mathrm e}^{-\frac{\left(-7 x -14\right) {\mathrm e}^{x}-2 x}{x}}$&$20$\\ \hline \end{longtable}"," ",0,"exp((7*exp(x)*x+14*exp(x)+2*x)/x)","A"
8840,1,12852,23,0.968000," ","int((16*ln(ln(x)^4)^3+(4*ln(x)^2+(4*x^2+4*x)*ln(x))*ln(ln(x)^4)^2+(16*ln(x)^2+16*x^2+32*x-80)*ln(ln(x)^4)+4*ln(x)^4+(4*x^2+4*x)*ln(x)^3+(4*x^2+8*x-20)*ln(x)^2+(4*x^4+12*x^3-12*x^2-19*x)*ln(x))/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$12852$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
8841,1,37,26,0.030000," ","int(((15*x^5+4*x^3-11*x^2+9*x)*exp(x)-60*x^3+32*x^2-84*x+48)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{60 x^{3}-16 x^{2}+28 x -12}{x^{4}}+\frac{\left(15 x^{3}+4 x -3\right) {\mathrm e}^{x}}{x^{3}}$&$37$\\ norman&$\frac{-12+28 x -16 x^{2}+60 x^{3}-3 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{x} x^{2}+15 \,{\mathrm e}^{x} x^{4}}{x^{4}}$&$39$\\ default&$-\frac{12}{x^{4}}+\frac{28}{x^{3}}-\frac{16}{x^{2}}+\frac{60}{x}-\frac{3 \,{\mathrm e}^{x}}{x^{3}}+\frac{4 \,{\mathrm e}^{x}}{x^{2}}+15 \,{\mathrm e}^{x}$&$40$\\ \hline \end{longtable}"," ",0,"(60*x^3-16*x^2+28*x-12)/x^4+(15*x^3+4*x-3)/x^3*exp(x)","A"
8842,1,16,16,0.466000," ","int((-2*ln(1/(81+x))-1)/(81+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\frac{1}{81+x}\right)^{2}+\ln \left(\frac{1}{81+x}\right)$&$16$\\ default&$\ln \left(\frac{1}{81+x}\right)^{2}+\ln \left(\frac{1}{81+x}\right)$&$16$\\ norman&$\ln \left(\frac{1}{81+x}\right)^{2}+\ln \left(\frac{1}{81+x}\right)$&$16$\\ risch&$-\ln \left(81+x \right)+\ln \left(\frac{1}{81+x}\right)^{2}$&$16$\\ \hline \end{longtable}"," ",0,"ln(1/(81+x))^2+ln(1/(81+x))","A"
8843,1,237,32,0.248000," ","int(((-x^2+2*x)*ln(exp((x*exp(3)-x^5-2*x-4)/x)/x)-exp(x)-4*x^5-x+4)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{-x} \ln \left({\mathrm e}^{\frac{x \,{\mathrm e}^{3}-x^{5}-2 x -4}{x}}\right)-\frac{x \left(i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{\frac{x \,{\mathrm e}^{3}-x^{5}-2 x -4}{x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{x \,{\mathrm e}^{3}-x^{5}-2 x -4}{x}}}{x}\right)-i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{x \,{\mathrm e}^{3}-x^{5}-2 x -4}{x}}}{x}\right)^{2}-i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{x \,{\mathrm e}^{3}-x^{5}-2 x -4}{x}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{x \,{\mathrm e}^{3}-x^{5}-2 x -4}{x}}}{x}\right)^{2}+i \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{\frac{x \,{\mathrm e}^{3}-x^{5}-2 x -4}{x}}}{x}\right)^{3}+2 x \ln \left(x \right)+2 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{2}$&$237$\\ \hline \end{longtable}"," ",0,"x^2*exp(-x)*ln(exp((x*exp(3)-x^5-2*x-4)/x))-1/2*x*(I*Pi*x*csgn(I/x)*csgn(I*exp((x*exp(3)-x^5-2*x-4)/x))*csgn(I/x*exp((x*exp(3)-x^5-2*x-4)/x))-I*Pi*x*csgn(I/x)*csgn(I/x*exp((x*exp(3)-x^5-2*x-4)/x))^2-I*Pi*x*csgn(I*exp((x*exp(3)-x^5-2*x-4)/x))*csgn(I/x*exp((x*exp(3)-x^5-2*x-4)/x))^2+I*Pi*x*csgn(I/x*exp((x*exp(3)-x^5-2*x-4)/x))^3+2*x*ln(x)+2*exp(x))*exp(-x)","C"
8844,1,25,20,0.027000," ","int((4*x*ln(x)^2+(-8*x^2-8*x-2)*ln(x)+8*x^2+8*x+2)/x/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-1-4 x -4 x^{2}+4 x \ln \left(x \right)+2 \ln \left(x \right)}{\ln \left(x \right)^{2}}$&$25$\\ risch&$-\frac{4 x^{2}-4 x \ln \left(x \right)+4 x -2 \ln \left(x \right)+1}{\ln \left(x \right)^{2}}$&$26$\\ default&$\frac{4 x}{\ln \left(x \right)}-\frac{4 x^{2}}{\ln \left(x \right)^{2}}+\frac{2}{\ln \left(x \right)}-\frac{4 x}{\ln \left(x \right)^{2}}-\frac{1}{\ln \left(x \right)^{2}}$&$37$\\ \hline \end{longtable}"," ",0,"(-1-4*x-4*x^2+4*x*ln(x)+2*ln(x))/ln(x)^2","A"
8845,1,27,14,0.035000," ","int(((-3*exp(x)*x-9*x)*ln(x)+(-3*x^2+588*x+3)*exp(x)+1764*x)/(x*exp(x)^2+6*exp(x)*x^2+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \ln \left(x \right)}{3 x +{\mathrm e}^{x}}+\frac{3 x -585}{3 x +{\mathrm e}^{x}}$&$27$\\ \hline \end{longtable}"," ",0,"3/(3*x+exp(x))*ln(x)+3*(x-195)/(3*x+exp(x))","A"
8846,1,10,19,0.023000," ","int((-exp(x)*x-2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(x \right)-{\mathrm e}^{x}$&$10$\\ norman&$-2 \ln \left(x \right)-{\mathrm e}^{x}$&$10$\\ risch&$-2 \ln \left(x \right)-{\mathrm e}^{x}$&$10$\\ \hline \end{longtable}"," ",0,"-2*ln(x)-exp(x)","A"
8847,1,37,21,0.048000," ","int((13*x^3+56*x^2+48*x+16)*exp(((4*x+8)*ln(x)+(-8*x-16)*exp(1)+13*x^2+38*x+44)/(4*x+8))/(4*x^3+16*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{4 x \ln \left(x \right)-8 x \,{\mathrm e}+13 x^{2}+8 \ln \left(x \right)-16 \,{\mathrm e}+38 x +44}{4 x +8}}$&$37$\\ risch&${\mathrm e}^{-\frac{-4 x \ln \left(x \right)+8 x \,{\mathrm e}-13 x^{2}-8 \ln \left(x \right)+16 \,{\mathrm e}-38 x -44}{4 \left(2+x \right)}}$&$37$\\ norman&$\frac{x \,{\mathrm e}^{\frac{\left(4 x +8\right) \ln \left(x \right)+\left(-8 x -16\right) {\mathrm e}+13 x^{2}+38 x +44}{4 x +8}}+2 \,{\mathrm e}^{\frac{\left(4 x +8\right) \ln \left(x \right)+\left(-8 x -16\right) {\mathrm e}+13 x^{2}+38 x +44}{4 x +8}}}{2+x}$&$82$\\ \hline \end{longtable}"," ",0,"exp(1/4*(4*x*ln(x)-8*x*exp(1)+13*x^2+8*ln(x)-16*exp(1)+38*x+44)/(2+x))","A"
8848,1,23,21,0.156000," ","int(((x-3)*exp(3/x)-x*exp(4)-8*x^2-x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-4 x^{2}-x -x \,{\mathrm e}^{4}+x \,{\mathrm e}^{\frac{3}{x}}$&$23$\\ default&$-4 x^{2}-x -x \,{\mathrm e}^{4}+x \,{\mathrm e}^{\frac{3}{x}}$&$23$\\ norman&$x \,{\mathrm e}^{\frac{3}{x}}+\left(-{\mathrm e}^{4}-1\right) x -4 x^{2}$&$23$\\ risch&$-4 x^{2}-x -x \,{\mathrm e}^{4}+x \,{\mathrm e}^{\frac{3}{x}}$&$23$\\ \hline \end{longtable}"," ",0,"-4*x^2-x-x*exp(4)+x*exp(3/x)","A"
8849,1,30,19,0.041000," ","int(1/625*(-2*exp(x)+12)*exp(5*x)^2*exp(x-exp(x))^2+1/625*(-4*exp(x)+44)*exp(5*x)^2*exp(x-exp(x))+8/125*exp(5*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{12 x -2 \,{\mathrm e}^{x}}}{625}+\frac{4 \,{\mathrm e}^{11 x -{\mathrm e}^{x}}}{625}+\frac{4 \,{\mathrm e}^{10 x}}{625}$&$30$\\ default&$\frac{4 \,{\mathrm e}^{10 x}}{625}+\frac{4 \,{\mathrm e}^{11 x} {\mathrm e}^{-{\mathrm e}^{x}}}{625}+\frac{{\mathrm e}^{12 x} {\mathrm e}^{-2 \,{\mathrm e}^{x}}}{625}$&$32$\\ \hline \end{longtable}"," ",0,"1/625*exp(12*x-2*exp(x))+4/625*exp(11*x-exp(x))+4/625*exp(10*x)","A"
8850,1,45,22,0.107000," ","int(((-32*x-32)*exp(exp(3)+1)^2*ln(3*x)+(-32*x^2-32*x)*exp(exp(3)+1)^2+x)*exp(-16*exp(exp(3)+1)^2*ln(3*x)^2-32*x*exp(exp(3)+1)^2*ln(3*x)-16*x^2*exp(exp(3)+1)^2+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-16 \,{\mathrm e}^{2 \,{\mathrm e}^{3}+2} \ln \left(3 x \right)^{2}-32 x \,{\mathrm e}^{2 \,{\mathrm e}^{3}+2} \ln \left(3 x \right)-16 x^{2} {\mathrm e}^{2 \,{\mathrm e}^{3}+2}+x}$&$45$\\ risch&$\left(3 x \right)^{-32 x \,{\mathrm e}^{2 \,{\mathrm e}^{3}+2}} {\mathrm e}^{-16 \,{\mathrm e}^{2 \,{\mathrm e}^{3}+2} \ln \left(3 x \right)^{2}-16 x^{2} {\mathrm e}^{2 \,{\mathrm e}^{3}+2}+x}$&$46$\\ \hline \end{longtable}"," ",0,"exp(-16*exp(exp(3)+1)^2*ln(3*x)^2-32*x*exp(exp(3)+1)^2*ln(3*x)-16*x^2*exp(exp(3)+1)^2+x)","A"
8851,1,12,23,0.043000," ","int((-exp(5+ln(x))*exp(exp(5+ln(x)))-x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x -{\mathrm e}^{x \,{\mathrm e}^{5}}$&$12$\\ risch&$-x -{\mathrm e}^{x \,{\mathrm e}^{5}}$&$12$\\ default&$-x -{\mathrm e}^{{\mathrm e}^{5+\ln \left(x \right)}}$&$13$\\ \hline \end{longtable}"," ",0,"-x-exp(x*exp(5))","A"
8852,1,35,27,0.078000," ","int(1/4*(((20*x-20)*exp(x)-20*x)*exp(exp(x)*x^2)+(-5*x^5-10*x^4)*exp(x)+5*x^2)*exp(1/4*(4*exp(x)*exp(exp(x)*x^2)+x^2)/x/exp(exp(x)*x^2))/x^3/exp(exp(x)*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \,{\mathrm e}^{\frac{\left(4 \,{\mathrm e}^{x \left({\mathrm e}^{x} x +1\right)}+x^{2}\right) {\mathrm e}^{-{\mathrm e}^{x} x^{2}}}{4 x}}}{x}$&$35$\\ \hline \end{longtable}"," ",0,"5/x*exp(1/4*(4*exp(x*(exp(x)*x+1))+x^2)/x*exp(-exp(x)*x^2))","A"
8853,1,6,7,0.013000," ","int(2*exp(5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \,{\mathrm e}^{10}$&$6$\\ default&$2 x \,{\mathrm e}^{10}$&$8$\\ norman&$2 x \,{\mathrm e}^{10}$&$8$\\ \hline \end{longtable}"," ",0,"2*x*exp(10)","A"
8854,1,33,25,0.256000," ","int(((-4*x^3*exp(x)*exp(exp(1))^2-10*x^4*exp(x)*exp(exp(1))-6*x^5*exp(x))*exp(x^4*exp(exp(1))^2+2*x^5*exp(exp(1))+x^6)*exp(exp(x^4*exp(exp(1))^2+2*x^5*exp(exp(1))+x^6))-2*exp(x))*exp(exp(exp(x^4*exp(exp(1))^2+2*x^5*exp(exp(1))+x^6))+x)+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{2 x +{\mathrm e}^{{\mathrm e}^{x^{4} \left(2 x \,{\mathrm e}^{{\mathrm e}}+x^{2}+{\mathrm e}^{2 \,{\mathrm e}}\right)}}}+3 x$&$33$\\ \hline \end{longtable}"," ",0,"-exp(2*x+exp(exp(x^4*(2*x*exp(exp(1))+x^2+exp(2*exp(1))))))+3*x","A"
8855,1,14,13,0.032000," ","int((-2*ln(2)^4-2*x)/ln(2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}}{\ln \left(2\right)^{4}}-2 x$&$14$\\ gosper&$-\frac{x \left(2 \ln \left(2\right)^{4}+x \right)}{\ln \left(2\right)^{4}}$&$16$\\ default&$\frac{-2 x \ln \left(2\right)^{4}-x^{2}}{\ln \left(2\right)^{4}}$&$19$\\ norman&$\frac{-2 x \ln \left(2\right)^{3}-\frac{x^{2}}{\ln \left(2\right)}}{\ln \left(2\right)^{3}}$&$23$\\ \hline \end{longtable}"," ",0,"-x^2/ln(2)^4-2*x","A"
8856,1,58,35,0.079000," ","int(((x^5-15*x^4+75*x^3-125*x^2-75*x+125)*exp(x)^3+(-45*x^6+1215*x^5-11475*x^4+46065*x^3-63225*x^2-47565*x+63900)*exp(x)^2+(675*x^7-26325*x^6+390825*x^5-2756547*x^4+9244827*x^3-10753785*x^2-8987112*x+10879920)*exp(x)-3375*x^8+172125*x^7-3533625*x^6+37236375*x^5-211803255*x^4+611580105*x^3-623591460*x^2-524471760*x+617025600)/((x^5-15*x^4+75*x^3-125*x^2)*exp(x)^3+(-45*x^6+1215*x^5-11475*x^4+46125*x^3-67500*x^2)*exp(x)^2+(675*x^7-26325*x^6+390825*x^5-2757375*x^4+9315000*x^3-12150000*x^2)*exp(x)-3375*x^8+172125*x^7-3533625*x^6+37236375*x^5-212017500*x^4+619650000*x^3-729000000*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{25}{x \left(x^{2}-10 x +25\right)}-\frac{12 \left(72 x^{2}-5 \,{\mathrm e}^{x} x -1728 x +60 \,{\mathrm e}^{x}+10368\right)}{x \left(x -5\right)^{2} \left(15 x -{\mathrm e}^{x}-180\right)^{2}}$&$58$\\ \hline \end{longtable}"," ",0,"x+25/x/(x^2-10*x+25)-12*(72*x^2-5*exp(x)*x-1728*x+60*exp(x)+10368)/x/(x-5)^2/(15*x-exp(x)-180)^2","A"
8857,1,14,12,0.038000," ","int((-2*x^2+2*x-1)*exp(x^2-2*x)+14,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$14 x -x \,{\mathrm e}^{\left(x -2\right) x}$&$14$\\ default&$14 x -x \,{\mathrm e}^{x^{2}-2 x}$&$16$\\ norman&$14 x -x \,{\mathrm e}^{x^{2}-2 x}$&$16$\\ \hline \end{longtable}"," ",0,"14*x-x*exp((x-2)*x)","A"
8858,1,21,16,0.093000," ","int((-4*exp(2/x^2)+x*ln(3/5)+x^3)*exp((x*exp(2/x^2)-ln(3/5)+x^2)/x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5^{\frac{1}{x}} \left(\frac{1}{3}\right)^{\frac{1}{x}} {\mathrm e}^{{\mathrm e}^{\frac{2}{x^{2}}}+x}$&$21$\\ norman&${\mathrm e}^{\frac{x \,{\mathrm e}^{\frac{2}{x^{2}}}-\ln \left(\frac{3}{5}\right)+x^{2}}{x}}$&$22$\\ \hline \end{longtable}"," ",0,"5^(1/x)*(1/3)^(1/x)*exp(exp(2/x^2)+x)","A"
8859,1,16,18,0.068000," ","int(((x*ln(x)+x+25)*ln(x*ln(x)+x+25)+(1-x)*ln(x)-2*x+2)/((x^3-2*x^2+x)*ln(x)+x^3+23*x^2-49*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \ln \left(x \right)+x +25\right)}{x -1}$&$16$\\ \hline \end{longtable}"," ",0,"-1/(x-1)*ln(x*ln(x)+x+25)","A"
8860,1,19,21,0.068000," ","int((-10*x^3-19*x^2+3*x-3)/(100*x^4+180*x^3+21*x^2-54*x+9)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \,{\mathrm e}^{-x}}{10 x^{2}+9 x -3}$&$19$\\ norman&$\frac{x \,{\mathrm e}^{-x}}{10 x^{2}+9 x -3}$&$19$\\ risch&$\frac{x \,{\mathrm e}^{-x}}{10 x^{2}+9 x -3}$&$19$\\ default&$\frac{{\mathrm e}^{-x} \left(20 x +9\right)}{670 x^{2}+603 x -201}+\frac{3 \,{\mathrm e}^{-x} \left(3 x -2\right)}{67 \left(10 x^{2}+9 x -3\right)}+\frac{19 \,{\mathrm e}^{-x} \left(47 x -9\right)}{670 \left(10 x^{2}+9 x -3\right)}-\frac{3 \,{\mathrm e}^{-x} \left(171 x -47\right)}{670 \left(10 x^{2}+9 x -3\right)}$&$94$\\ \hline \end{longtable}"," ",0,"x/exp(x)/(10*x^2+9*x-3)","A"
8861,1,25,23,0.088000," ","int((-256*exp(x^2+4)^2+(512*x^3+1312*x^2-256*x)*exp(x^2+4)-1681*x^4-656*x^3)/(256*x*exp(x^2+4)^2-1312*x^3*exp(x^2+4)+1681*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16 x}{41 x^{2}-16 \,{\mathrm e}^{x^{2}+4}}-\ln \left(x \right)$&$25$\\ risch&$\frac{16 x}{41 x^{2}-16 \,{\mathrm e}^{x^{2}+4}}-\ln \left(x \right)$&$25$\\ \hline \end{longtable}"," ",0,"16*x/(41*x^2-16*exp(x^2+4))-ln(x)","A"
8862,1,22,19,0.049000," ","int(((-6*x^2-48*x-96)*exp(1)+9*x^2+88*x+192)/(8*x^6+64*x^5+128*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{{\mathrm e}}{4}-\frac{3}{8}\right) x -2+{\mathrm e}}{x^{3} \left(4+x \right)}$&$22$\\ risch&$\frac{\left(\frac{{\mathrm e}}{4}-\frac{3}{8}\right) x -2+{\mathrm e}}{x^{3} \left(4+x \right)}$&$22$\\ gosper&$\frac{2 x \,{\mathrm e}+8 \,{\mathrm e}-3 x -16}{8 x^{3} \left(4+x \right)}$&$25$\\ default&$-\frac{-6 \,{\mathrm e}+12}{24 x^{3}}+\frac{1}{32 x^{2}}-\frac{1}{128 x}+\frac{1}{512+128 x}$&$30$\\ \hline \end{longtable}"," ",0,"((1/4*exp(1)-3/8)*x-2+exp(1))/x^3/(4+x)","A"
8863,1,141,25,1.566000," ","int((ln(x^2/ln(3)^4)+2)*ln(x^3)^4+12*ln(x^2/ln(3)^4)*ln(x^3)^3+((2*ln(2)-4*x)*ln(x^2/ln(3)^4)+4*ln(2)-4*x)*ln(x^3)^2+(12*ln(2)-12*x)*ln(x^2/ln(3)^4)*ln(x^3)+(ln(2)^2-4*x*ln(2)+3*x^2)*ln(x^2/ln(3)^4)+2*ln(2)^2-4*x*ln(2)+2*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{3} \ln \left(x^{2}\right)-8 x \ln \left(2\right) \ln \left(\ln \left(3\right)\right) \ln \left(x^{3}\right)^{2}+2 x \ln \left(2\right) \ln \left(x^{2}\right) \ln \left(x^{3}\right)^{2}-4 x^{3} \ln \left(\ln \left(3\right)\right)+\ln \left(2\right)^{2} \ln \left(x^{2}\right) x -4 \ln \left(2\right)^{2} \ln \left(\ln \left(3\right)\right) x -2 \ln \left(2\right) x^{2} \ln \left(x^{2}\right)+8 x^{2} \ln \left(2\right) \ln \left(\ln \left(3\right)\right)+\ln \left(x^{3}\right)^{4} \ln \left(x^{2}\right) x -4 \ln \left(\ln \left(3\right)\right) x \ln \left(x^{3}\right)^{4}-2 x^{2} \ln \left(x^{2}\right) \ln \left(x^{3}\right)^{2}+8 x^{2} \ln \left(\ln \left(3\right)\right) \ln \left(x^{3}\right)^{2}$&$141$\\ risch&$\text{Expression too large to display}$&$16204$\\ \hline \end{longtable}"," ",0,"x^3*ln(x^2)-8*x*ln(2)*ln(ln(3))*ln(x^3)^2+2*x*ln(2)*ln(x^2)*ln(x^3)^2-4*x^3*ln(ln(3))+ln(2)^2*ln(x^2)*x-4*ln(2)^2*ln(ln(3))*x-2*ln(2)*x^2*ln(x^2)+8*x^2*ln(2)*ln(ln(3))+ln(x^3)^4*ln(x^2)*x-4*ln(ln(3))*x*ln(x^3)^4-2*x^2*ln(x^2)*ln(x^3)^2+8*x^2*ln(ln(3))*ln(x^3)^2","B"
8864,1,23,25,0.099000," ","int(((2*x+3)*exp(2*x)-3*x^2-2*x)*exp((x+1)*exp(2*x)-x^3-x^2)*exp(exp((x+1)*exp(2*x)-x^3-x^2))+5*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{-\left(x +1\right) \left(x^{2}-{\mathrm e}^{2 x}\right)}}+5 \,{\mathrm e}^{x}$&$23$\\ default&${\mathrm e}^{{\mathrm e}^{\left(x +1\right) {\mathrm e}^{2 x}-x^{3}-x^{2}}}+5 \,{\mathrm e}^{x}$&$27$\\ \hline \end{longtable}"," ",0,"exp(exp(-(x+1)*(x^2-exp(2*x))))+5*exp(x)","A"
8865,1,21,26,0.031000," ","int((ln(x^2/exp(3))+3*x^2+4*x+4)*exp(x*ln(x^2/exp(3))+x^3+2*x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{-3} x^{2}\right)^{x} {\mathrm e}^{x \left(x^{2}+2 x +2\right)}$&$21$\\ derivativedivides&${\mathrm e}^{x \ln \left({\mathrm e}^{-3} x^{2}\right)+x^{3}+2 x^{2}+2 x}$&$25$\\ default&${\mathrm e}^{x \ln \left({\mathrm e}^{-3} x^{2}\right)+x^{3}+2 x^{2}+2 x}$&$25$\\ norman&${\mathrm e}^{x \ln \left({\mathrm e}^{-3} x^{2}\right)+x^{3}+2 x^{2}+2 x}$&$25$\\ \hline \end{longtable}"," ",0,"(exp(-3)*x^2)^x*exp(x*(x^2+2*x+2))","A"
8866,1,58,29,0.640000," ","int(((2*x^2*ln(x)^2-12*x^2*ln(x)+6*x^2*ln(5)+18*x^2)*exp((5*ln(x)-3*ln(5)-15)/(ln(x)-3))^2+(-16*x^2*ln(x)^2+96*x^2*ln(x)-24*x^2*ln(5)-144*x^2)*exp((5*ln(x)-3*ln(5)-15)/(ln(x)-3))+(32*x^2-1)*ln(x)^2+(-192*x^2+6)*ln(x)+288*x^2-9)/(x*ln(x)^2-6*x*ln(x)+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{2}-\ln \left(x \right)+x^{2} {\mathrm e}^{-\frac{2 \left(-5 \ln \left(x \right)+3 \ln \left(5\right)+15\right)}{\ln \left(x \right)-3}}-8 x^{2} {\mathrm e}^{-\frac{-5 \ln \left(x \right)+3 \ln \left(5\right)+15}{\ln \left(x \right)-3}}$&$58$\\ default&$16 x^{2}-\ln \left(x \right)+\frac{24 x^{2} {\mathrm e}^{-\frac{-5 \ln \left(x \right)+3 \ln \left(5\right)+15}{\ln \left(x \right)-3}}-8 \ln \left(x \right) x^{2} {\mathrm e}^{-\frac{-5 \ln \left(x \right)+3 \ln \left(5\right)+15}{\ln \left(x \right)-3}}}{\ln \left(x \right)-3}+\frac{\ln \left(x \right) x^{2} {\mathrm e}^{-\frac{2 \left(-5 \ln \left(x \right)+3 \ln \left(5\right)+15\right)}{\ln \left(x \right)-3}}-3 x^{2} {\mathrm e}^{-\frac{2 \left(-5 \ln \left(x \right)+3 \ln \left(5\right)+15\right)}{\ln \left(x \right)-3}}}{\ln \left(x \right)-3}$&$126$\\ \hline \end{longtable}"," ",0,"16*x^2-ln(x)+x^2*exp(-2*(-5*ln(x)+3*ln(5)+15)/(ln(x)-3))-8*x^2*exp(-(-5*ln(x)+3*ln(5)+15)/(ln(x)-3))","A"
8867,1,23,28,0.519000," ","int(((2*exp(x^2)*x+2)*ln(1/2*exp(1))+(50*x^2+6*x-25)*exp(x^2)+31)/(ln(1/2*exp(1))^2+(50*x+6)*ln(1/2*exp(1))+625*x^2+150*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-{\mathrm e}^{x^{2}}+\frac{33}{25}-\frac{2 \ln \left(2\right)}{25}}{\ln \left(2\right)-25 x -4}$&$23$\\ \hline \end{longtable}"," ",0,"(-exp(x^2)+33/25-2/25*ln(2))/(ln(2)-25*x-4)","A"
8868,1,27,25,0.059000," ","int(((19*x*exp(24*x)*ln(x)*ln(ln(x))+(19*x^2-95*x)*exp(24*x)*ln(x))*ln(-ln(ln(x))+5-x)+(x*exp(24*x)+4*x*exp(5*x))*ln(x)+exp(24*x)+4*exp(5*x))/(x*exp(5*x)*ln(x)*ln(ln(x))+(x^2-5*x)*exp(5*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{19 x} \ln \left(-\ln \left(\ln \left(x \right)\right)+5-x \right)+4 \ln \left(\ln \left(\ln \left(x \right)\right)+x -5\right)$&$27$\\ \hline \end{longtable}"," ",0,"exp(19*x)*ln(-ln(ln(x))+5-x)+4*ln(ln(ln(x))+x-5)","A"
8869,1,23,21,0.032000," ","int(((-5*x-20)*ln(x)+4*x-5)/((200*x^7+2000*x^6+5000*x^5)*ln(x)^2+(-400*x^7-2000*x^6)*ln(x)+200*x^7)/exp(-1/((400*x^5+2000*x^4)*ln(x)-400*x^5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{\frac{1}{400 x^{4} \left(x \ln \left(x \right)+5 \ln \left(x \right)-x \right)}}$&$23$\\ \hline \end{longtable}"," ",0,"2*exp(1/400/x^4/(x*ln(x)+5*ln(x)-x))","A"
8870,1,37,18,0.192000," ","int((ln(2)^2*ln(x*exp(ln(x)/ln(2)^2))+(5*x^4+3)*ln(2)^2+1)/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{5} \ln \left(2\right)^{2}+2 x \ln \left(2\right)^{2}+\ln \left(2\right)^{2} \ln \left(x \,x^{\frac{1}{\ln \left(2\right)^{2}}}\right) x}{\ln \left(2\right)^{2}}$&$37$\\ risch&$x \ln \left(x^{\frac{1}{\ln \left(2\right)^{2}}}\right)+x \ln \left(x \right)-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{\frac{1}{\ln \left(2\right)^{2}}}\right) \mathrm{csgn}\left(i x \,x^{\frac{1}{\ln \left(2\right)^{2}}}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,x^{\frac{1}{\ln \left(2\right)^{2}}}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x^{\frac{1}{\ln \left(2\right)^{2}}}\right) \mathrm{csgn}\left(i x \,x^{\frac{1}{\ln \left(2\right)^{2}}}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(i x \,x^{\frac{1}{\ln \left(2\right)^{2}}}\right)^{3}}{2}+x^{5}+2 x$&$121$\\ \hline \end{longtable}"," ",0,"1/ln(2)^2*(x^5*ln(2)^2+2*x*ln(2)^2+ln(2)^2*ln(x*x^(1/ln(2)^2))*x)","A"
8871,1,15,15,0.045000," ","int((2*x*exp(exp(1)-5)-1)/exp(exp(1)-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-x \,{\mathrm e}^{5-{\mathrm e}}$&$15$\\ norman&$x^{2}-{\mathrm e}^{-{\mathrm e}} {\mathrm e}^{5} x$&$17$\\ gosper&$x \left(x \,{\mathrm e}^{{\mathrm e}-5}-1\right) {\mathrm e}^{5-{\mathrm e}}$&$19$\\ default&$\left({\mathrm e}^{{\mathrm e}-5} x^{2}-x \right) {\mathrm e}^{5-{\mathrm e}}$&$22$\\ \hline \end{longtable}"," ",0,"x^2-x*exp(5-exp(1))","A"
8872,1,37,26,0.105000," ","int((((-x^2+6*x-8)*exp(3)-x^3+7*x^2-14*x+8)*exp(x)+(3*x^2-26*x+56)*exp(3)+3*x^3-29*x^2+82*x-55)*exp((-x^2+8*x-16)*exp(x)+x^3-13*x^2+56*x-78),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{3}+x -1\right) {\mathrm e}^{-{\mathrm e}^{x} x^{2}+x^{3}+8 \,{\mathrm e}^{x} x -13 x^{2}-16 \,{\mathrm e}^{x}+56 x -78}$&$37$\\ norman&$x \,{\mathrm e}^{\left(-x^{2}+8 x -16\right) {\mathrm e}^{x}+x^{3}-13 x^{2}+56 x -78}+\left({\mathrm e}^{3}-1\right) {\mathrm e}^{\left(-x^{2}+8 x -16\right) {\mathrm e}^{x}+x^{3}-13 x^{2}+56 x -78}$&$63$\\ \hline \end{longtable}"," ",0,"(exp(3)+x-1)*exp(-exp(x)*x^2+x^3+8*exp(x)*x-13*x^2-16*exp(x)+56*x-78)","A"
8873,1,24,22,0.043000," ","int((5*x^6+71*x^5+378*x^4+955*x^3+1272*x^2+1194*x+900)/(x^6+14*x^5+73*x^4+168*x^3+144*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x +\ln \left(x \right)-\frac{25}{4 x}+\frac{25}{4 \left(4+x \right)}+\frac{1}{3+x}$&$24$\\ risch&$5 x +\frac{x^{2}-21 x -75}{x \left(x^{2}+7 x +12\right)}+\ln \left(x \right)$&$29$\\ norman&$\frac{5 x^{4}-184 x^{2}-441 x -75}{x \left(x^{2}+7 x +12\right)}+\ln \left(x \right)$&$33$\\ \hline \end{longtable}"," ",0,"5*x+ln(x)-25/4/x+25/4/(4+x)+1/(3+x)","A"
8874,1,56,18,0.139000," ","int(1/8*((((x+1)*exp(x)+2*x+1)*ln(x)-exp(x)-x-1)*ln(2*x*ln(2))+(exp(x)+1+x)*ln(x))/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{8}+\frac{{\mathrm e}^{x} x}{8}+\frac{x}{8}+\frac{x \left(2 x \ln \left(2\right)+2 \,{\mathrm e}^{x} \ln \left(2\right)+2 x \ln \left(\ln \left(2\right)\right)+2 \,{\mathrm e}^{x} \ln \left(\ln \left(2\right)\right)+2 \ln \left(2\right)+2 \ln \left(\ln \left(2\right)\right)\right)}{16 \ln \left(x \right)}$&$56$\\ default&$\frac{x}{8}+\frac{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) x \,{\mathrm e}^{x}+x \,{\mathrm e}^{x} \ln \left(x \right)}{8 \ln \left(x \right)}+\frac{x^{2}}{8}+\frac{\ln \left(2\right) x^{2}}{8 \ln \left(x \right)}+\frac{\ln \left(2\right) x}{8 \ln \left(x \right)}+\frac{\ln \left(\ln \left(2\right)\right) x^{2}}{8 \ln \left(x \right)}+\frac{\ln \left(\ln \left(2\right)\right) x}{8 \ln \left(x \right)}$&$75$\\ \hline \end{longtable}"," ",0,"1/8*x^2+1/8*exp(x)*x+1/8*x+1/16*x*(2*x*ln(2)+2*exp(x)*ln(2)+2*x*ln(ln(2))+2*exp(x)*ln(ln(2))+2*ln(2)+2*ln(ln(2)))/ln(x)","B"
8875,1,14,19,0.051000," ","int(((5*ln(3)-10)*exp(x)*exp(exp(x))+5*ln(3)-10)/(x+exp(exp(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(5 \ln \left(3\right)-10\right) \ln \left(x +{\mathrm e}^{{\mathrm e}^{x}}\right)$&$14$\\ risch&$5 \ln \left(x +{\mathrm e}^{{\mathrm e}^{x}}\right) \ln \left(3\right)-10 \ln \left(x +{\mathrm e}^{{\mathrm e}^{x}}\right)$&$20$\\ \hline \end{longtable}"," ",0,"(5*ln(3)-10)*ln(x+exp(exp(x)))","A"
8876,1,27,20,0.027000," ","int(1/3*x*ln(x)^2+7/3*x*ln(x)+exp(x)+8/3*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\frac{5 x^{2}}{6}+x^{2} \ln \left(x \right)+\frac{x^{2} \ln \left(x \right)^{2}}{6}+{\mathrm e}^{x}$&$27$\\ norman&$-x +\frac{5 x^{2}}{6}+x^{2} \ln \left(x \right)+\frac{x^{2} \ln \left(x \right)^{2}}{6}+{\mathrm e}^{x}$&$27$\\ risch&$-x +\frac{5 x^{2}}{6}+x^{2} \ln \left(x \right)+\frac{x^{2} \ln \left(x \right)^{2}}{6}+{\mathrm e}^{x}$&$27$\\ \hline \end{longtable}"," ",0,"-x+5/6*x^2+x^2*ln(x)+1/6*x^2*ln(x)^2+exp(x)","A"
8877,1,18,17,0.024000," ","int((8*ln(x)+(4*x+8)*exp(x)-12*x+4)/(x^3*ln(x)^2+(2*exp(x)*x^3-2*x^4)*ln(x)+exp(x)^2*x^3-2*exp(x)*x^4+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{x^{2} \left(-\ln \left(x \right)-{\mathrm e}^{x}+x \right)}$&$18$\\ \hline \end{longtable}"," ",0,"4/x^2/(-ln(x)-exp(x)+x)","A"
8878,1,31,27,0.279000," ","int(((5*exp(x)-10*exp(3)+2*x^2-5*x+50)*ln(1/2*(5*exp(x)-10*exp(3)+2*x^2-5*x+50)/x)+(5*x+10)*exp(x)-20*exp(3)+8*x^2-15*x+100)/(5*exp(x)-10*exp(3)+2*x^2-5*x+50),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\frac{5 \,{\mathrm e}^{x}-10 \,{\mathrm e}^{3}+2 x^{2}-5 x +50}{2 x}\right)+3 x$&$31$\\ risch&$x \ln \left(-\frac{x^{2}}{5}+{\mathrm e}^{3}+\frac{x}{2}-\frac{{\mathrm e}^{x}}{2}-5\right)-x \ln \left(x \right)-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-\frac{x^{2}}{5}+{\mathrm e}^{3}+\frac{x}{2}-\frac{{\mathrm e}^{x}}{2}-5\right)\right) \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{5}+{\mathrm e}^{3}+\frac{x}{2}-\frac{{\mathrm e}^{x}}{2}-5\right)}{x}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{5}+{\mathrm e}^{3}+\frac{x}{2}-\frac{{\mathrm e}^{x}}{2}-5\right)}{x}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(-\frac{x^{2}}{5}+{\mathrm e}^{3}+\frac{x}{2}-\frac{{\mathrm e}^{x}}{2}-5\right)\right) \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{5}+{\mathrm e}^{3}+\frac{x}{2}-\frac{{\mathrm e}^{x}}{2}-5\right)}{x}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{5}+{\mathrm e}^{3}+\frac{x}{2}-\frac{{\mathrm e}^{x}}{2}-5\right)}{x}\right)^{3}}{2}-i \pi  x \mathrm{csgn}\left(\frac{i \left(-\frac{x^{2}}{5}+{\mathrm e}^{3}+\frac{x}{2}-\frac{{\mathrm e}^{x}}{2}-5\right)}{x}\right)^{2}+i \pi  x +x \ln \left(5\right)+3 x$&$240$\\ \hline \end{longtable}"," ",0,"x*ln(1/2*(5*exp(x)-10*exp(3)+2*x^2-5*x+50)/x)+3*x","A"
8879,1,27279,24,17.544000," ","int((((-64*x^2+1600)*ln(5+x)-64*x^3+1600*x)*ln(1/4*ln(5+x)^2+1/2*x*ln(5+x)+1/4*x^2)^7+(128*x^3-512*x^2-4480*x+19200)*ln(1/4*ln(5+x)^2+1/2*x*ln(5+x)+1/4*x^2)^6+((96*x^4-960*x^3+24000*x-60000)*ln(5+x)+96*x^5-960*x^4+24000*x^2-60000*x)*ln(1/4*ln(5+x)^2+1/2*x*ln(5+x)+1/4*x^2)^5+(-192*x^5+2688*x^4-5760*x^3-76800*x^2+456000*x-720000)*ln(1/4*ln(5+x)^2+1/2*x*ln(5+x)+1/4*x^2)^4+((-48*x^6+960*x^5-6000*x^4+150000*x^2-600000*x+750000)*ln(5+x)-48*x^7+960*x^6-6000*x^5+150000*x^3-600000*x^2+750000*x)*ln(1/4*ln(5+x)^2+1/2*x*ln(5+x)+1/4*x^2)^3+(96*x^7-2304*x^6+18720*x^5-24000*x^4-540000*x^3+3600000*x^2-9300000*x+9000000)*ln(1/4*ln(5+x)^2+1/2*x*ln(5+x)+1/4*x^2)^2+((8*x^8-240*x^7+2800*x^6-14000*x^5+350000*x^3-1750000*x^2+3750000*x-3125000)*ln(5+x)+8*x^9-240*x^8+2800*x^7-14000*x^6+350000*x^4-1750000*x^3+3750000*x^2-3125000*x)*ln(1/4*ln(5+x)^2+1/2*x*ln(5+x)+1/4*x^2)-16*x^9+544*x^8-7360*x^7+44800*x^6-28000*x^5-1400000*x^4+9800000*x^3-32000000*x^2+53750000*x-37500000)/((5+x)*ln(5+x)+x^2+5*x)/ln(1/4*ln(5+x)^2+1/2*x*ln(5+x)+1/4*x^2)^9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$27279$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
8880,1,12,15,0.026000," ","int(4*x*exp(1)^4*ln(2)*ln(x)+2*x*exp(1)^4*ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right) \ln \left(2\right) {\mathrm e}^{4} x^{2}$&$12$\\ default&$2 \ln \left(x \right) \ln \left(2\right) {\mathrm e}^{4} x^{2}$&$14$\\ norman&$2 \ln \left(x \right) \ln \left(2\right) {\mathrm e}^{4} x^{2}$&$14$\\ \hline \end{longtable}"," ",0,"2*ln(x)*ln(2)*exp(4)*x^2","A"
8881,1,33,23,0.046000," ","int((((400*x^2-200*x)*exp(2*x)^2-160*x)*ln(x)^2+(-200*x*exp(2*x)^2-160*x)*ln(x)-1600*exp(2*x)^2)/(25*exp(2*x)^4+40*exp(2*x)^2+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{20 x^{2} \ln \left(x \right)^{2}}{5 \,{\mathrm e}^{4 x}+4}+\frac{80}{5 \,{\mathrm e}^{4 x}+4}$&$33$\\ \hline \end{longtable}"," ",0,"-20*x^2/(5*exp(4*x)+4)*ln(x)^2+80/(5*exp(4*x)+4)","A"
8882,1,55,28,0.646000," ","int((((-6*x*exp(x)^2-3)*ln(x^2)+18*x*exp(x)^2+9)*exp(exp(x)^2+5)*ln(3-ln(x^2))+((6*x*exp(x)^2-3*x+3)*exp(x+16)*ln(x^2)+(-18*x*exp(x)^2+9*x-9)*exp(x+16)+6)*exp(exp(x)^2+5))/((ln(x^2)-3)*ln(3-ln(x^2))^2+(-2*exp(x+16)*ln(x^2)+6*exp(x+16))*ln(3-ln(x^2))+exp(x+16)^2*ln(x^2)-3*exp(x+16)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{5+{\mathrm e}^{2 x}} x}{{\mathrm e}^{x +16}-\ln \left(3-2 \ln \left(x \right)+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)}$&$55$\\ \hline \end{longtable}"," ",0,"3*exp(5+exp(2*x))*x/(exp(x+16)-ln(3-2*ln(x)+1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2))","C"
8883,1,47,18,0.074000," ","int(((2*x^6-6*x^5-8*x^3+10*x^2+6*x-4)*exp(17)-2*x^5-2*x^3+4*x^2)/x^5/exp(17),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-6 x -2 \,{\mathrm e}^{-17} x +\frac{{\mathrm e}^{-17} \left(\left(8 \,{\mathrm e}^{17}+2\right) x^{3}+\left(-5 \,{\mathrm e}^{17}-2\right) x^{2}-2 \,{\mathrm e}^{17} x +{\mathrm e}^{17}\right)}{x^{4}}$&$47$\\ default&${\mathrm e}^{-17} \left({\mathrm e}^{17} x^{2}-6 \,{\mathrm e}^{17} x -2 x +\frac{{\mathrm e}^{17}}{x^{4}}-\frac{5 \,{\mathrm e}^{17}+2}{x^{2}}-\frac{2 \left(-4 \,{\mathrm e}^{17}-1\right)}{x}-\frac{2 \,{\mathrm e}^{17}}{x^{3}}\right)$&$56$\\ norman&$\frac{1+x^{6}-2 x -2 \left(3 \,{\mathrm e}^{17}+1\right) {\mathrm e}^{-17} x^{5}+2 \left(4 \,{\mathrm e}^{17}+1\right) {\mathrm e}^{-17} x^{3}-\left(5 \,{\mathrm e}^{17}+2\right) {\mathrm e}^{-17} x^{2}}{x^{4}}$&$58$\\ gosper&$\frac{\left(x^{6} {\mathrm e}^{17}-6 x^{5} {\mathrm e}^{17}-2 x^{5}+8 \,{\mathrm e}^{17} x^{3}-5 \,{\mathrm e}^{17} x^{2}+2 x^{3}-2 \,{\mathrm e}^{17} x -2 x^{2}+{\mathrm e}^{17}\right) {\mathrm e}^{-17}}{x^{4}}$&$59$\\ \hline \end{longtable}"," ",0,"x^2-6*x-2*exp(-17)*x+exp(-17)*((8*exp(17)+2)*x^3+(-5*exp(17)-2)*x^2-2*exp(17)*x+exp(17))/x^4","B"
8884,1,33,26,0.118000," ","int(((128*x^2-640*x)*ln(x-5)+(128*x^2-640*x)*exp(5)-32*x^4+160*x^3-128*x^2)/((64*x-320)*ln(x-5)^3+((48*x^2-240*x)*ln(3)+(48*x^2-240*x)*ln(2)+(192*x-960)*exp(5)+48*x^3-48*x^2-960*x)*ln(x-5)^2+((12*x^3-60*x^2)*ln(3)^2+((24*x^3-120*x^2)*ln(2)+(96*x^2-480*x)*exp(5)+24*x^4-24*x^3-480*x^2)*ln(3)+(12*x^3-60*x^2)*ln(2)^2+((96*x^2-480*x)*exp(5)+24*x^4-24*x^3-480*x^2)*ln(2)+(192*x-960)*exp(5)^2+(96*x^3-96*x^2-1920*x)*exp(5)+12*x^5+36*x^4-288*x^3-960*x^2)*ln(x-5)+(x^4-5*x^3)*ln(3)^3+((3*x^4-15*x^3)*ln(2)+(12*x^3-60*x^2)*exp(5)+3*x^5-3*x^4-60*x^3)*ln(3)^2+((3*x^4-15*x^3)*ln(2)^2+((24*x^3-120*x^2)*exp(5)+6*x^5-6*x^4-120*x^3)*ln(2)+(48*x^2-240*x)*exp(5)^2+(24*x^4-24*x^3-480*x^2)*exp(5)+3*x^6+9*x^5-72*x^4-240*x^3)*ln(3)+(x^4-5*x^3)*ln(2)^3+((12*x^3-60*x^2)*exp(5)+3*x^5-3*x^4-60*x^3)*ln(2)^2+((48*x^2-240*x)*exp(5)^2+(24*x^4-24*x^3-480*x^2)*exp(5)+3*x^6+9*x^5-72*x^4-240*x^3)*ln(2)+(64*x-320)*exp(5)^3+(48*x^3-48*x^2-960*x)*exp(5)^2+(12*x^5+36*x^4-288*x^3-960*x^2)*exp(5)+x^7+7*x^6-12*x^5-176*x^4-320*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 x^{2}}{\left(x \ln \left(2\right)+x \ln \left(3\right)+x^{2}+4 \,{\mathrm e}^{5}+4 \ln \left(x -5\right)+4 x \right)^{2}}$&$33$\\ \hline \end{longtable}"," ",0,"16*x^2/(x*ln(2)+x*ln(3)+x^2+4*exp(5)+4*ln(x-5)+4*x)^2","A"
8885,1,53,27,0.043000," ","int(4/25*(2*x*ln(2)^2+(30*x^2+60*x+60)*ln(2)+100*x^3+450*x^2+1050*x+900)*ln(3)^2+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 \ln \left(3\right)^{2} \left(x^{2} \ln \left(2\right)^{2}+\ln \left(2\right) \left(10 x^{3}+30 x^{2}+60 x \right)+25 x^{4}+150 x^{3}+525 x^{2}+900 x \right)}{25}+x$&$53$\\ gosper&$\frac{x \left(4 \ln \left(2\right)^{2} \ln \left(3\right)^{2} x +40 \ln \left(2\right) \ln \left(3\right)^{2} x^{2}+100 x^{3} \ln \left(3\right)^{2}+120 x \ln \left(2\right) \ln \left(3\right)^{2}+600 x^{2} \ln \left(3\right)^{2}+240 \ln \left(2\right) \ln \left(3\right)^{2}+2100 x \ln \left(3\right)^{2}+3600 \ln \left(3\right)^{2}+25\right)}{25}$&$76$\\ norman&$\left(\frac{8 \ln \left(2\right) \ln \left(3\right)^{2}}{5}+24 \ln \left(3\right)^{2}\right) x^{3}+\left(\frac{48 \ln \left(2\right) \ln \left(3\right)^{2}}{5}+144 \ln \left(3\right)^{2}+1\right) x +\left(\frac{4 \ln \left(3\right)^{2} \ln \left(2\right)^{2}}{25}+\frac{24 \ln \left(2\right) \ln \left(3\right)^{2}}{5}+84 \ln \left(3\right)^{2}\right) x^{2}+4 x^{4} \ln \left(3\right)^{2}$&$77$\\ risch&$\frac{4 x^{2} \ln \left(3\right)^{2} \ln \left(2\right)^{2}}{25}+\frac{8 \ln \left(2\right) \ln \left(3\right)^{2} x^{3}}{5}+4 x^{4} \ln \left(3\right)^{2}+\frac{24 \ln \left(2\right) \ln \left(3\right)^{2} x^{2}}{5}+24 x^{3} \ln \left(3\right)^{2}+\frac{48 x \ln \left(2\right) \ln \left(3\right)^{2}}{5}+84 x^{2} \ln \left(3\right)^{2}+144 x \ln \left(3\right)^{2}+x$&$81$\\ \hline \end{longtable}"," ",0,"4/25*ln(3)^2*(x^2*ln(2)^2+ln(2)*(10*x^3+30*x^2+60*x)+25*x^4+150*x^3+525*x^2+900*x)+x","A"
8886,1,26,23,0.509000," ","int(((-18*x^6+18*x^5-6*x^2-18*x)*exp(2)-36*x^4-12)/(3*x^6+x^2)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-6 x +\frac{12 \,{\mathrm e}^{-2}}{x}-18 \ln \left(x \right)+6 \ln \left(-3 x^{4}-1\right)$&$26$\\ norman&$\frac{-6 x^{2}+12 \,{\mathrm e}^{-2}}{x}-18 \ln \left(x \right)+6 \ln \left(3 x^{4}+1\right)$&$32$\\ default&${\mathrm e}^{-2} \left(-6 \,{\mathrm e}^{2} x +\frac{12}{x}-18 \,{\mathrm e}^{2} \ln \left(x \right)+6 \,{\mathrm e}^{2} \ln \left(3 x^{4}+1\right)\right)$&$35$\\ meijerg&$-3 \,{\mathrm e}^{-2} 3^{\frac{1}{4}} \left(-\frac{4 \,3^{\frac{3}{4}}}{3 x}-x^{3} 3^{\frac{3}{4}} \left(\frac{3^{\frac{1}{4}} \sqrt{2}\, \ln \left(1-\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}+\sqrt{3}\, \sqrt{x^{4}}\right)}{6 \left(x^{4}\right)^{\frac{3}{4}}}+\frac{3^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}{2-\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}\right)}{3 \left(x^{4}\right)^{\frac{3}{4}}}-\frac{3^{\frac{1}{4}} \sqrt{2}\, \ln \left(1+\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}+\sqrt{3}\, \sqrt{x^{4}}\right)}{6 \left(x^{4}\right)^{\frac{3}{4}}}+\frac{3^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}{2+\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}\right)}{3 \left(x^{4}\right)^{\frac{3}{4}}}\right)\right)-\frac{3^{\frac{3}{4}} \left(4 x 3^{\frac{1}{4}}-x 3^{\frac{1}{4}} \left(-\frac{3^{\frac{3}{4}} \sqrt{2}\, \ln \left(1-\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}+\sqrt{3}\, \sqrt{x^{4}}\right)}{6 \left(x^{4}\right)^{\frac{1}{4}}}+\frac{3^{\frac{3}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}{2-\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}\right)}{3 \left(x^{4}\right)^{\frac{1}{4}}}+\frac{3^{\frac{3}{4}} \sqrt{2}\, \ln \left(1+\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}+\sqrt{3}\, \sqrt{x^{4}}\right)}{6 \left(x^{4}\right)^{\frac{1}{4}}}+\frac{3^{\frac{3}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}{2+\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}\right)}{3 \left(x^{4}\right)^{\frac{1}{4}}}\right)\right)}{2}+6 \ln \left(3 x^{4}+1\right)-\frac{3^{\frac{3}{4}} \left(-\frac{x \sqrt{2}\, \ln \left(1-\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}+\sqrt{3}\, \sqrt{x^{4}}\right)}{2 \left(x^{4}\right)^{\frac{1}{4}}}+\frac{x \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}{2-\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}\right)}{\left(x^{4}\right)^{\frac{1}{4}}}+\frac{x \sqrt{2}\, \ln \left(1+\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}+\sqrt{3}\, \sqrt{x^{4}}\right)}{2 \left(x^{4}\right)^{\frac{1}{4}}}+\frac{x \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}{2+\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}\right)}{\left(x^{4}\right)^{\frac{1}{4}}}\right)}{2}-18 \ln \left(x \right)-\frac{9 \ln \left(3\right)}{2}-3 \,{\mathrm e}^{-2} 3^{\frac{1}{4}} \left(\frac{x^{3} \sqrt{2}\, \ln \left(1-\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}+\sqrt{3}\, \sqrt{x^{4}}\right)}{2 \left(x^{4}\right)^{\frac{3}{4}}}+\frac{x^{3} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}{2-\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}\right)}{\left(x^{4}\right)^{\frac{3}{4}}}-\frac{x^{3} \sqrt{2}\, \ln \left(1+\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}+\sqrt{3}\, \sqrt{x^{4}}\right)}{2 \left(x^{4}\right)^{\frac{3}{4}}}+\frac{x^{3} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}{2+\sqrt{2}\, 3^{\frac{1}{4}} \left(x^{4}\right)^{\frac{1}{4}}}\right)}{\left(x^{4}\right)^{\frac{3}{4}}}\right)$&$718$\\ \hline \end{longtable}"," ",0,"-6*x+12/x*exp(-2)-18*ln(x)+6*ln(-3*x^4-1)","A"
8887,1,66,27,0.098000," ","int((((2*x-1)*exp(x)^2-2*exp(x)*x^2+x^2-5)*ln(x)^2+((8*x-2)*exp(x)^2+(-8*x^2-4*x)*exp(x)+6*x^2-10)*ln(x)+8*x*exp(x)^2+(-8*x^2-8*x)*exp(x)+12*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2}-2 \,{\mathrm e}^{x} x +{\mathrm e}^{2 x}+5\right) \ln \left(x \right)^{2}}{x}+\frac{4 \left(x^{2}-2 \,{\mathrm e}^{x} x +{\mathrm e}^{2 x}+5\right) \ln \left(x \right)}{x}+\frac{8 x^{2}-8 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{2 x}+20}{x}$&$66$\\ default&$8 x -8 \,{\mathrm e}^{x} \ln \left(x \right)-2 \,{\mathrm e}^{x} \ln \left(x \right)^{2}-8 \,{\mathrm e}^{x}+\frac{\ln \left(x \right)^{2} {\mathrm e}^{2 x}+4 \ln \left(x \right) {\mathrm e}^{2 x}+4 \,{\mathrm e}^{2 x}}{x}+x \ln \left(x \right)^{2}+4 x \ln \left(x \right)+\frac{5 \ln \left(x \right)^{2}}{x}+\frac{20 \ln \left(x \right)}{x}+\frac{20}{x}$&$83$\\ \hline \end{longtable}"," ",0,"(x^2-2*exp(x)*x+exp(2*x)+5)/x*ln(x)^2+4*(x^2-2*exp(x)*x+exp(2*x)+5)/x*ln(x)+4*(2*x^2-2*exp(x)*x+exp(2*x)+5)/x","B"
8888,1,26,27,0.073000," ","int(1/3*((3-x)*exp(3/x)+2*x^2+1)*exp(-x*exp(3/x)+x^2)+1-1/3*ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x}{3}+\frac{x \,{\mathrm e}^{\left(x -{\mathrm e}^{\frac{3}{x}}\right) x}}{3}-\frac{x \ln \left(x \right)}{3}$&$26$\\ default&$\frac{4 x}{3}+\frac{x \,{\mathrm e}^{-x \,{\mathrm e}^{\frac{3}{x}}+x^{2}}}{3}-\frac{x \ln \left(x \right)}{3}$&$27$\\ \hline \end{longtable}"," ",0,"4/3*x+1/3*x*exp((x-exp(3/x))*x)-1/3*x*ln(x)","A"
8889,1,20,22,0.072000," ","int(((13*x+2)*exp(5*x)-3*x^2-4*x-12)/(x*exp(5*x)-x^2-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$3 x +2 \ln \left(x^{2}-x \,{\mathrm e}^{5 x}+4\right)$&$20$\\ risch&$3 x +2 \ln \left(x \right)+2 \ln \left({\mathrm e}^{5 x}-\frac{x^{2}+4}{x}\right)$&$27$\\ \hline \end{longtable}"," ",0,"3*x+2*ln(x^2-x*exp(5*x)+4)","A"
8890,1,44,29,0.180000," ","int((((x^4-5*x^2+28)*exp(2)+x^4-5*x^2+28)*exp(x)^2+((-19*x^4+152*x^2-304)*exp(2)-19*x^4+152*x^2-304)*exp(x))/((x^6-14*x^4+49*x^2)*exp(x)^2+(38*x^5-418*x^3+1064*x)*exp(x)+361*x^4-2888*x^2+5776),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(4 \,{\mathrm e}^{2}+4\right) {\mathrm e}^{x}+\left(-{\mathrm e}^{2}-1\right) x^{2} {\mathrm e}^{x}}{{\mathrm e}^{x} x^{3}-7 \,{\mathrm e}^{x} x +19 x^{2}-76}$&$44$\\ risch&$\frac{\left(-{\mathrm e}^{2}-1\right) x^{2}+4+4 \,{\mathrm e}^{2}}{\left(x^{2}-7\right) x}+\frac{19 x^{4} {\mathrm e}^{2}+19 x^{4}-152 x^{2} {\mathrm e}^{2}-152 x^{2}+304 \,{\mathrm e}^{2}+304}{\left(x^{2}-7\right) x \left({\mathrm e}^{x} x^{3}-7 \,{\mathrm e}^{x} x +19 x^{2}-76\right)}$&$88$\\ \hline \end{longtable}"," ",0,"((4*exp(2)+4)*exp(x)+(-exp(2)-1)*x^2*exp(x))/(exp(x)*x^3-7*exp(x)*x+19*x^2-76)","A"
8891,1,27,26,0.043000," ","int((exp(1)+2)*exp((x-1)*exp(1)+5+2*x)+(-x-1)*exp(x)-2*x-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{x} x -x +{\mathrm e}^{\left(x -1\right) {\mathrm e}+5+2 x}-x^{2}$&$27$\\ norman&$-{\mathrm e}^{x} x -x +{\mathrm e}^{\left(x -1\right) {\mathrm e}+5+2 x}-x^{2}$&$27$\\ risch&$-{\mathrm e}^{x} x -x +{\mathrm e}^{x \,{\mathrm e}-{\mathrm e}+2 x +5}-x^{2}$&$29$\\ \hline \end{longtable}"," ",0,"-exp(x)*x-x+exp((x-1)*exp(1)+5+2*x)-x^2","A"
8892,1,28,30,0.243000," ","int(((2*x^3+16*x^2+8*x-48)*exp(4)^2+(-8*x^4-80*x^3+192*x)*exp(4)+8*x^5)/((x^4-4*x^3+2*x^2+8*x-8)*exp(4)^2+(-4*x^5+8*x^4+8*x^3-16*x^2)*exp(4)+4*x^6-8*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{24 \,{\mathrm e}^{4}}{x \,{\mathrm e}^{4}-2 x^{2}-2 \,{\mathrm e}^{4}}+\ln \left(x^{2}-2\right)$&$28$\\ risch&$-\frac{24 \,{\mathrm e}^{4}}{x \,{\mathrm e}^{4}-2 x^{2}-2 \,{\mathrm e}^{4}}+\ln \left(x^{2}-2\right)$&$28$\\ default&$12 \left(\munderset{\textit{\_R} =\RootOf \left(4 \textit{\_Z}^{4}-4 \textit{\_Z}^{3} {\mathrm e}^{4}+\left({\mathrm e}^{8}+8 \,{\mathrm e}^{4}\right) \textit{\_Z}^{2}-4 \textit{\_Z} \,{\mathrm e}^{8}+4 \,{\mathrm e}^{8}\right)}{\sum}\frac{\left(-4 \textit{\_R} \,{\mathrm e}^{4}+{\mathrm e}^{8}\right) \ln \left(x -\textit{\_R} \right)}{-6 \textit{\_R}^{2} {\mathrm e}^{4}+8 \textit{\_R}^{3}+\textit{\_R} \,{\mathrm e}^{8}+8 \textit{\_R} \,{\mathrm e}^{4}-2 \,{\mathrm e}^{8}}\right)+\ln \left(x^{2}-2\right)$&$90$\\ \hline \end{longtable}"," ",0,"-24*exp(4)/(x*exp(4)-2*x^2-2*exp(4))+ln(x^2-2)","A"
8893,1,54,29,0.282000," ","int(1/2*((x^2*exp(5)*ln(x)^2-6*ln(x)-3)*ln(exp(2)+2)^2*exp(3/x^2/exp(5)/ln(x))^2+(-4*x^2*exp(5)*ln(x)^2+12*ln(x)+6)*ln(exp(2)+2)*exp(3/x^2/exp(5)/ln(x))+4*x^2*exp(5)*ln(x)^2)/x/exp(5)/ln(x)^2/ln(exp(2)+2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{\ln \left({\mathrm e}^{2}+2\right)^{2}}+\frac{x^{2} {\mathrm e}^{\frac{6 \,{\mathrm e}^{-5}}{x^{2} \ln \left(x \right)}}}{4}-\frac{x^{2} {\mathrm e}^{\frac{3 \,{\mathrm e}^{-5}}{x^{2} \ln \left(x \right)}}}{\ln \left({\mathrm e}^{2}+2\right)}$&$54$\\ default&$\frac{{\mathrm e}^{-5} \left(-2 \,{\mathrm e}^{5} \ln \left({\mathrm e}^{2}+2\right) x^{2} {\mathrm e}^{\frac{3 \,{\mathrm e}^{-5}}{x^{2} \ln \left(x \right)}}+\frac{{\mathrm e}^{5} \ln \left({\mathrm e}^{2}+2\right)^{2} x^{2} {\mathrm e}^{\frac{6 \,{\mathrm e}^{-5}}{x^{2} \ln \left(x \right)}}}{2}+2 x^{2} {\mathrm e}^{5}\right)}{2 \ln \left({\mathrm e}^{2}+2\right)^{2}}$&$72$\\ \hline \end{longtable}"," ",0,"1/ln(exp(2)+2)^2*x^2+1/4*x^2*exp(6/x^2*exp(-5)/ln(x))-1/ln(exp(2)+2)*x^2*exp(3/x^2*exp(-5)/ln(x))","A"
8894,1,73,20,0.569000," ","int((-2916*exp((3+x)/(2*x-3))^4+(864*x^3-5508*x^2+1944*x)*exp((3+x)/(2*x-3))^3+(864*x^5-3564*x^4+1944*x^3)*exp((3+x)/(2*x-3))^2+(288*x^7-972*x^6+648*x^5)*exp((3+x)/(2*x-3))+32*x^9-96*x^8+72*x^7)/(324*x^2-972*x+729),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{8}}{81}+{\mathrm e}^{\frac{4 x +12}{2 x -3}}+\frac{4 \,{\mathrm e}^{\frac{3 x +9}{2 x -3}} x^{2}}{3}+\frac{2 \,{\mathrm e}^{\frac{2 x +6}{2 x -3}} x^{4}}{3}+\frac{4 \,{\mathrm e}^{\frac{3+x}{2 x -3}} x^{6}}{27}$&$73$\\ derivativedivides&$\frac{27 x}{16}+3 \,{\mathrm e}^{\frac{3}{2}+\frac{27}{2 \left(2 x -3\right)}}+\frac{63 \left(2 x -3\right)^{2}}{64}+2 \,{\mathrm e}^{\frac{3}{2}+\frac{27}{2 \left(2 x -3\right)}} \left(2 x -3\right)+\frac{9 \,{\mathrm e}^{1+\frac{9}{2 x -3}} \left(2 x -3\right)^{2}}{4}+\frac{{\mathrm e}^{1+\frac{9}{2 x -3}} \left(2 x -3\right)^{3}}{2}+\frac{{\mathrm e}^{1+\frac{9}{2 x -3}} \left(2 x -3\right)^{4}}{24}+\frac{9 \,{\mathrm e}^{1+\frac{9}{2 x -3}} \left(2 x -3\right)}{2}+\frac{{\mathrm e}^{\frac{3}{2}+\frac{27}{2 \left(2 x -3\right)}} \left(2 x -3\right)^{2}}{3}+\frac{27 \,{\mathrm e}^{1+\frac{9}{2 x -3}}}{8}+\frac{27 \,{\mathrm e}^{\frac{1}{2}+\frac{9}{2 \left(2 x -3\right)}} \left(2 x -3\right)}{8}+\frac{45 \,{\mathrm e}^{\frac{1}{2}+\frac{9}{2 \left(2 x -3\right)}} \left(2 x -3\right)^{2}}{16}+\frac{5 \,{\mathrm e}^{\frac{1}{2}+\frac{9}{2 \left(2 x -3\right)}} \left(2 x -3\right)^{3}}{4}+\frac{5 \,{\mathrm e}^{\frac{1}{2}+\frac{9}{2 \left(2 x -3\right)}} \left(2 x -3\right)^{4}}{16}+\frac{{\mathrm e}^{\frac{1}{2}+\frac{9}{2 \left(2 x -3\right)}} \left(2 x -3\right)^{5}}{24}+\frac{{\mathrm e}^{\frac{1}{2}+\frac{9}{2 \left(2 x -3\right)}} \left(2 x -3\right)^{6}}{432}+{\mathrm e}^{2+\frac{18}{2 x -3}}+\frac{21 \left(2 x -3\right)^{3}}{32}+\frac{35 \left(2 x -3\right)^{4}}{128}+\frac{\left(2 x -3\right)^{7}}{864}+\frac{\left(2 x -3\right)^{8}}{20736}+\frac{7 \left(2 x -3\right)^{5}}{96}+\frac{7 \left(2 x -3\right)^{6}}{576}-\frac{81}{32}+\frac{27 \,{\mathrm e}^{\frac{1}{2}+\frac{9}{2 \left(2 x -3\right)}}}{16}$&$387$\\ default&$\frac{27 x}{16}+3 \,{\mathrm e}^{\frac{3}{2}+\frac{27}{2 \left(2 x -3\right)}}+\frac{63 \left(2 x -3\right)^{2}}{64}+2 \,{\mathrm e}^{\frac{3}{2}+\frac{27}{2 \left(2 x -3\right)}} \left(2 x -3\right)+\frac{9 \,{\mathrm e}^{1+\frac{9}{2 x -3}} \left(2 x -3\right)^{2}}{4}+\frac{{\mathrm e}^{1+\frac{9}{2 x -3}} \left(2 x -3\right)^{3}}{2}+\frac{{\mathrm e}^{1+\frac{9}{2 x -3}} \left(2 x -3\right)^{4}}{24}+\frac{9 \,{\mathrm e}^{1+\frac{9}{2 x -3}} \left(2 x -3\right)}{2}+\frac{{\mathrm e}^{\frac{3}{2}+\frac{27}{2 \left(2 x -3\right)}} \left(2 x -3\right)^{2}}{3}+\frac{27 \,{\mathrm e}^{1+\frac{9}{2 x -3}}}{8}+\frac{27 \,{\mathrm e}^{\frac{1}{2}+\frac{9}{2 \left(2 x -3\right)}} \left(2 x -3\right)}{8}+\frac{45 \,{\mathrm e}^{\frac{1}{2}+\frac{9}{2 \left(2 x -3\right)}} \left(2 x -3\right)^{2}}{16}+\frac{5 \,{\mathrm e}^{\frac{1}{2}+\frac{9}{2 \left(2 x -3\right)}} \left(2 x -3\right)^{3}}{4}+\frac{5 \,{\mathrm e}^{\frac{1}{2}+\frac{9}{2 \left(2 x -3\right)}} \left(2 x -3\right)^{4}}{16}+\frac{{\mathrm e}^{\frac{1}{2}+\frac{9}{2 \left(2 x -3\right)}} \left(2 x -3\right)^{5}}{24}+\frac{{\mathrm e}^{\frac{1}{2}+\frac{9}{2 \left(2 x -3\right)}} \left(2 x -3\right)^{6}}{432}+{\mathrm e}^{2+\frac{18}{2 x -3}}+\frac{21 \left(2 x -3\right)^{3}}{32}+\frac{35 \left(2 x -3\right)^{4}}{128}+\frac{\left(2 x -3\right)^{7}}{864}+\frac{\left(2 x -3\right)^{8}}{20736}+\frac{7 \left(2 x -3\right)^{5}}{96}+\frac{7 \left(2 x -3\right)^{6}}{576}-\frac{81}{32}+\frac{27 \,{\mathrm e}^{\frac{1}{2}+\frac{9}{2 \left(2 x -3\right)}}}{16}$&$387$\\ \hline \end{longtable}"," ",0,"1/81*x^8+exp(4*(3+x)/(2*x-3))+4/3*exp(3*(3+x)/(2*x-3))*x^2+2/3*exp(2*(3+x)/(2*x-3))*x^4+4/27*exp((3+x)/(2*x-3))*x^6","B"
8895,1,24,22,0.044000," ","int(((-exp(x)+2)*exp(-exp(x)+2*x-1)-2*x-9)*exp(exp(-exp(x)+2*x-1)-x^2-9*x-25)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +{\mathrm e}^{{\mathrm e}^{-{\mathrm e}^{x}+2 x -1}-x^{2}-9 x -25}$&$24$\\ norman&$x +{\mathrm e}^{{\mathrm e}^{-{\mathrm e}^{x}+2 x -1}-x^{2}-9 x -25}$&$24$\\ risch&$x +{\mathrm e}^{{\mathrm e}^{-{\mathrm e}^{x}+2 x -1}-x^{2}-9 x -25}$&$24$\\ \hline \end{longtable}"," ",0,"x+exp(exp(-exp(x)+2*x-1)-x^2-9*x-25)","A"
8896,1,22,21,0.031000," ","int(((-4*x^2+2*x+56)*ln(7+2*x)-4*x+20)/(2*x^3-13*x^2-20*x+175)/exp(3+x)/ln(7+2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{-3-x}}{\left(x -5\right) \ln \left(7+2 x \right)}$&$22$\\ \hline \end{longtable}"," ",0,"2/(x-5)/ln(7+2*x)*exp(-3-x)","A"
8897,1,232,30,0.032000," ","int((64*(1-x)*ln(2)^6+32*(18*x-18)*ln(2)^5+16*(-3*x^4-9*x^3+60*x^2+9*x-57)*ln(2)^4+8*(36*x^4+108*x^3-720*x^2-1188*x+1764)*ln(2)^3+4*(-3*x^7-21*x^6+47*x^5+238*x^4-1926*x^3-6232*x^2-863*x+3135)*ln(2)^2+2*(18*x^7+126*x^6-282*x^5-2076*x^4+9612*x^3+50352*x^2+30450*x-54450)*ln(2)-x^10-11*x^9+17*x^8+625*x^7+2515*x^6+3943*x^5+21533*x^4+126599*x^3+259580*x^2+91575*x-166375)/(64*ln(2)^6-576*ln(2)^5+16*(3*x^3+12*x^2-48*x-57)*ln(2)^4+8*(-36*x^3-144*x^2+576*x+1764)*ln(2)^3+4*(3*x^6+24*x^5-48*x^4-606*x^3-120*x^2+3552*x+3135)*ln(2)^2+2*(-18*x^6-144*x^5+288*x^4+4284*x^3+3312*x^2-31680*x-54450)*ln(2)+x^9+12*x^8-485*x^6-1320*x^5+5712*x^4+26099*x^3-5940*x^2-145200*x-166375)/exp((16*(x+1)*ln(2)^4+8*(-12*x-12)*ln(2)^3+4*(2*x^4+10*x^3-24*x^2-106*x-74)*ln(2)^2+2*(-12*x^4-60*x^3+144*x^2+852*x+660)*ln(2)+x^7+9*x^6-3*x^5-174*x^4+58*x^3+2856*x^2+6065*x+3025)/(16*ln(2)^4-96*ln(2)^3+4*(2*x^3+8*x^2-32*x-74)*ln(2)^2+2*(-12*x^3-48*x^2+192*x+660)*ln(2)+x^6+8*x^5-16*x^4-238*x^3-184*x^2+1760*x+3025)),x)","\[x \,{\mathrm e}^{-\frac{8 x^{4} \ln \left(2\right)^{2}+16 x \ln \left(2\right)^{4}+40 x^{3} \ln \left(2\right)^{2}+x^{4} \ln \left(\frac{1}{16777216}\right)+16 \ln \left(2\right)^{4}-96 x \ln \left(2\right)^{3}-96 x^{2} \ln \left(2\right)^{2}-120 x^{3} \ln \left(2\right)-96 \ln \left(2\right)^{3}-424 x \ln \left(2\right)^{2}+288 x^{2} \ln \left(2\right)-296 \ln \left(2\right)^{2}+1704 x \ln \left(2\right)+1320 \ln \left(2\right)+x^{7}+9 x^{6}-3 x^{5}-174 x^{4}+58 x^{3}+2856 x^{2}+6065 x +3025}{8 x^{3} \ln \left(2\right)^{2}+16 \ln \left(2\right)^{4}+32 x^{2} \ln \left(2\right)^{2}+x^{3} \ln \left(\frac{1}{16777216}\right)-96 \ln \left(2\right)^{3}-128 x \ln \left(2\right)^{2}-96 x^{2} \ln \left(2\right)-296 \ln \left(2\right)^{2}+384 x \ln \left(2\right)+1320 \ln \left(2\right)+x^{6}+8 x^{5}-16 x^{4}-238 x^{3}-184 x^{2}+1760 x +3025}}\]"," ",0,"x/exp((x^7+8*x^4*ln(2)^2+9*x^6+16*x*ln(2)^4+40*x^3*ln(2)^2-24*x^4*ln(2)-3*x^5+16*ln(2)^4-96*x*ln(2)^3-96*x^2*ln(2)^2-120*x^3*ln(2)-174*x^4-96*ln(2)^3-424*x*ln(2)^2+288*x^2*ln(2)+58*x^3-296*ln(2)^2+1704*x*ln(2)+2856*x^2+1320*ln(2)+6065*x+3025)/(x^6+8*x^3*ln(2)^2+8*x^5+16*ln(2)^4+32*x^2*ln(2)^2-24*x^3*ln(2)-16*x^4-96*ln(2)^3-128*x*ln(2)^2-96*x^2*ln(2)-238*x^3-296*ln(2)^2+384*x*ln(2)-184*x^2+1320*ln(2)+1760*x+3025))","B"
8898,1,226,26,0.179000," ","int(1/196608*(256*((8*x^12+168*x^11+1096*x^10+1904*x^9+9520*x^7-27400*x^6+21000*x^5-5000*x^4)*exp(5)+24*x^12+504*x^11+3288*x^10+5712*x^9+28560*x^7-82200*x^6+63000*x^5-15000*x^4)*ln(2)^8+8*x^16+392*x^15+7992*x^14+86240*x^13+510440*x^12+1471176*x^11+880544*x^10-2972536*x^9-14862680*x^7-22013600*x^6+183897000*x^5-319025000*x^4+269500000*x^3-124875000*x^2+30625000*x-3125000)/x^9/ln(2)^16,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{64 \,{\mathrm e}^{5} \ln \left(2\right)^{8} x^{4}+1792 \,{\mathrm e}^{5} \ln \left(2\right)^{8} x^{3}+192 \ln \left(2\right)^{8} x^{4}+17536 \,{\mathrm e}^{5} \ln \left(2\right)^{8} x^{2}+5376 \ln \left(2\right)^{8} x^{3}+60928 \,{\mathrm e}^{5} \ln \left(2\right)^{8} x +52608 \ln \left(2\right)^{8} x^{2}+182784 x \ln \left(2\right)^{8}+\frac{x^{8}}{8}+7 x^{7}+\frac{333 x^{6}}{2}+2156 x^{5}+\frac{63805 x^{4}}{4}+61299 x^{3}+55034 x^{2}-371567 x +\frac{390625}{8 x^{8}}-\frac{-160000 \,{\mathrm e}^{5} \ln \left(2\right)^{8}-480000 \ln \left(2\right)^{8}-39878125}{4 x^{4}}-\frac{6737500}{x^{5}}+\frac{5203125}{2 x^{6}}-\frac{-876800 \,{\mathrm e}^{5} \ln \left(2\right)^{8}-2630400 \ln \left(2\right)^{8}-2751700}{2 x^{2}}-\frac{304640 \,{\mathrm e}^{5} \ln \left(2\right)^{8}+913920 \ln \left(2\right)^{8}-1857835}{x}-\frac{672000 \,{\mathrm e}^{5} \ln \left(2\right)^{8}+2016000 \ln \left(2\right)^{8}+22987125}{3 x^{3}}-\frac{546875}{x^{7}}}{24576 \ln \left(2\right)^{16}}$&$226$\\ gosper&$\frac{390625-4375000 x +1462272 x^{9} \ln \left(2\right)^{8}+490392 x^{11}+127610 x^{12}+17248 x^{13}+1332 x^{14}+x^{16}+56 x^{15}+14862680 x^{7}+440272 x^{10}-2972536 x^{9}+11006800 x^{6}-61299000 x^{5}+79756250 x^{4}-53900000 x^{3}+20812500 x^{2}-7311360 x^{7} \ln \left(2\right)^{8}+420864 x^{10} \ln \left(2\right)^{8}+512 \,{\mathrm e}^{5} \ln \left(2\right)^{8} x^{12}+14336 \,{\mathrm e}^{5} \ln \left(2\right)^{8} x^{11}+10521600 \ln \left(2\right)^{8} x^{6}-5376000 \ln \left(2\right)^{8} x^{5}+960000 \ln \left(2\right)^{8} x^{4}-1792000 \,{\mathrm e}^{5} \ln \left(2\right)^{8} x^{5}+3507200 \,{\mathrm e}^{5} \ln \left(2\right)^{8} x^{6}+320000 \,{\mathrm e}^{5} \ln \left(2\right)^{8} x^{4}+140288 \,{\mathrm e}^{5} \ln \left(2\right)^{8} x^{10}+487424 \,{\mathrm e}^{5} \ln \left(2\right)^{8} x^{9}-2437120 \,{\mathrm e}^{5} \ln \left(2\right)^{8} x^{7}+1536 \ln \left(2\right)^{8} x^{12}+43008 \ln \left(2\right)^{8} x^{11}}{196608 \ln \left(2\right)^{16} x^{8}}$&$243$\\ risch&$\frac{{\mathrm e}^{5} x^{4}}{384 \ln \left(2\right)^{8}}+\frac{7 \,{\mathrm e}^{5} x^{3}}{96 \ln \left(2\right)^{8}}+\frac{x^{4}}{128 \ln \left(2\right)^{8}}+\frac{137 \,{\mathrm e}^{5} x^{2}}{192 \ln \left(2\right)^{8}}+\frac{7 x^{3}}{32 \ln \left(2\right)^{8}}+\frac{119 \,{\mathrm e}^{5} x}{48 \ln \left(2\right)^{8}}+\frac{137 x^{2}}{64 \ln \left(2\right)^{8}}+\frac{119 x}{16 \ln \left(2\right)^{8}}+\frac{x^{8}}{196608 \ln \left(2\right)^{16}}+\frac{7 x^{7}}{24576 \ln \left(2\right)^{16}}+\frac{111 x^{6}}{16384 \ln \left(2\right)^{16}}+\frac{539 x^{5}}{6144 \ln \left(2\right)^{16}}+\frac{63805 x^{4}}{98304 \ln \left(2\right)^{16}}+\frac{20433 x^{3}}{8192 \ln \left(2\right)^{16}}+\frac{27517 x^{2}}{12288 \ln \left(2\right)^{16}}-\frac{371567 x}{24576 \ln \left(2\right)^{16}}+\frac{\left(-2437120 \,{\mathrm e}^{5} \ln \left(2\right)^{8}-7311360 \ln \left(2\right)^{8}+14862680\right) x^{7}+\left(3507200 \,{\mathrm e}^{5} \ln \left(2\right)^{8}+10521600 \ln \left(2\right)^{8}+11006800\right) x^{6}+\left(-1792000 \,{\mathrm e}^{5} \ln \left(2\right)^{8}-5376000 \ln \left(2\right)^{8}-61299000\right) x^{5}+\left(320000 \,{\mathrm e}^{5} \ln \left(2\right)^{8}+960000 \ln \left(2\right)^{8}+79756250\right) x^{4}-53900000 x^{3}+20812500 x^{2}-4375000 x +390625}{196608 \ln \left(2\right)^{16} x^{8}}$&$252$\\ norman&$\frac{\frac{390625}{196608 \ln \left(2\right)}-\frac{546875 x}{24576 \ln \left(2\right)}+\frac{1734375 x^{2}}{16384 \ln \left(2\right)}-\frac{1684375 x^{3}}{6144 \ln \left(2\right)}+\frac{539 x^{13}}{6144 \ln \left(2\right)}+\frac{111 x^{14}}{16384 \ln \left(2\right)}+\frac{7 x^{15}}{24576 \ln \left(2\right)}+\frac{x^{16}}{196608 \ln \left(2\right)}-\frac{875 \left(256 \,{\mathrm e}^{5} \ln \left(2\right)^{8}+768 \ln \left(2\right)^{8}+8757\right) x^{5}}{24576 \ln \left(2\right)}+\frac{7 \left(256 \,{\mathrm e}^{5} \ln \left(2\right)^{8}+768 \ln \left(2\right)^{8}+8757\right) x^{11}}{24576 \ln \left(2\right)}+\frac{625 \left(256 \,{\mathrm e}^{5} \ln \left(2\right)^{8}+768 \ln \left(2\right)^{8}+63805\right) x^{4}}{98304 \ln \left(2\right)}+\frac{\left(256 \,{\mathrm e}^{5} \ln \left(2\right)^{8}+768 \ln \left(2\right)^{8}+63805\right) x^{12}}{98304 \ln \left(2\right)}-\frac{35 \left(8704 \,{\mathrm e}^{5} \ln \left(2\right)^{8}+26112 \ln \left(2\right)^{8}-53081\right) x^{7}}{24576 \ln \left(2\right)}+\frac{7 \left(8704 \,{\mathrm e}^{5} \ln \left(2\right)^{8}+26112 \ln \left(2\right)^{8}-53081\right) x^{9}}{24576 \ln \left(2\right)}+\frac{25 \left(8768 \,{\mathrm e}^{5} \ln \left(2\right)^{8}+26304 \ln \left(2\right)^{8}+27517\right) x^{6}}{12288 \ln \left(2\right)}+\frac{\left(8768 \,{\mathrm e}^{5} \ln \left(2\right)^{8}+26304 \ln \left(2\right)^{8}+27517\right) x^{10}}{12288 \ln \left(2\right)}}{x^{8} \ln \left(2\right)^{15}}$&$277$\\ \hline \end{longtable}"," ",0,"1/24576/ln(2)^16*(64*exp(5)*ln(2)^8*x^4+1792*exp(5)*ln(2)^8*x^3+192*ln(2)^8*x^4+17536*exp(5)*ln(2)^8*x^2+5376*ln(2)^8*x^3+60928*exp(5)*ln(2)^8*x+52608*ln(2)^8*x^2+182784*x*ln(2)^8+1/8*x^8+7*x^7+333/2*x^6+2156*x^5+63805/4*x^4+61299*x^3+55034*x^2-371567*x+390625/8/x^8-1/4*(-160000*exp(5)*ln(2)^8-480000*ln(2)^8-39878125)/x^4-6737500/x^5+5203125/2/x^6-1/2*(-876800*exp(5)*ln(2)^8-2630400*ln(2)^8-2751700)/x^2-(304640*exp(5)*ln(2)^8+913920*ln(2)^8-1857835)/x-1/3*(672000*exp(5)*ln(2)^8+2016000*ln(2)^8+22987125)/x^3-546875/x^7)","B"
8899,1,23,27,0.134000," ","int((2*(x^3+1)*ln(2)*exp(1-x)+2*(-6*x^4-6*x^3)*ln(2))/x^3/exp(1-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \ln \left(2\right)-\frac{\ln \left(2\right)}{x^{2}}-12 x \ln \left(2\right) {\mathrm e}^{x -1}$&$23$\\ derivativedivides&$-\frac{\ln \left(2\right)}{x^{2}}-2 \left(1-x \right) \ln \left(2\right)-12 \ln \left(2\right) {\mathrm e}^{x -1}+12 \ln \left(2\right) {\mathrm e}^{x -1} \left(1-x \right)$&$39$\\ default&$-\frac{\ln \left(2\right)}{x^{2}}-2 \left(1-x \right) \ln \left(2\right)-12 \ln \left(2\right) {\mathrm e}^{x -1}+12 \ln \left(2\right) {\mathrm e}^{x -1} \left(1-x \right)$&$39$\\ norman&$\frac{\left(-12 x^{3} \ln \left(2\right)-\ln \left(2\right) {\mathrm e}^{1-x}+2 x^{3} \ln \left(2\right) {\mathrm e}^{1-x}\right) {\mathrm e}^{x -1}}{x^{2}}$&$44$\\ meijerg&$2 \,{\mathrm e}^{-{\mathrm e}^{-1} x +x -2} \left(1-{\mathrm e}\right)^{2} \ln \left(2\right) \left(-\frac{{\mathrm e}^{2}}{2 x^{2} \left(1-{\mathrm e}\right)^{2}}-\frac{{\mathrm e}}{x \left(1-{\mathrm e}\right)}-\frac{5}{4}+\frac{\ln \left(x \right)}{2}+\frac{i \pi}{2}+\frac{\ln \left(1-{\mathrm e}\right)}{2}+\frac{{\mathrm e}^{2} \left(9 x^{2} {\mathrm e}^{-2} \left(1-{\mathrm e}\right)^{2}+12 x \,{\mathrm e}^{-1} \left(1-{\mathrm e}\right)+6\right)}{12 x^{2} \left(1-{\mathrm e}\right)^{2}}-\frac{{\mathrm e}^{2+x \,{\mathrm e}^{-1} \left(1-{\mathrm e}\right)} \left(3+3 x \,{\mathrm e}^{-1} \left(1-{\mathrm e}\right)\right)}{6 x^{2} \left(1-{\mathrm e}\right)^{2}}-\frac{\ln \left(-x \,{\mathrm e}^{-1} \left(1-{\mathrm e}\right)\right)}{2}-\frac{\expIntegralEi \left(1, -x \,{\mathrm e}^{-1} \left(1-{\mathrm e}\right)\right)}{2}\right)-\frac{2 \ln \left(2\right) {\mathrm e}^{-{\mathrm e}^{-1} x +x +1} \left(1-{\mathrm e}^{x \,{\mathrm e}^{-1} \left(1-{\mathrm e}\right)}\right)}{1-{\mathrm e}}-12 \ln \left(2\right) {\mathrm e}^{-{\mathrm e}^{-1} x +x +1} \left(1-\frac{\left(2-2 \,{\mathrm e}^{-1} x \right) {\mathrm e}^{{\mathrm e}^{-1} x}}{2}\right)+12 \ln \left(2\right) {\mathrm e}^{-{\mathrm e}^{-1} x +x} \left(1-{\mathrm e}^{{\mathrm e}^{-1} x}\right)$&$269$\\ \hline \end{longtable}"," ",0,"2*x*ln(2)-ln(2)/x^2-12*x*ln(2)*exp(x-1)","A"
8900,1,22,21,0.212000," ","int(((6*ln(5)+2*ln(2)-2*x-18)*ln(6*ln(5)+2*ln(2)-2*x-18)+12*ln(5)+4*ln(2)-2*x-36)*exp(x/(ln(6*ln(5)+2*ln(2)-2*x-18)+2))/((6*ln(5)+2*ln(2)-2*x-18)*ln(6*ln(5)+2*ln(2)-2*x-18)^2+(24*ln(5)+8*ln(2)-8*x-72)*ln(6*ln(5)+2*ln(2)-2*x-18)+24*ln(5)+8*ln(2)-8*x-72),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x}{\ln \left(6 \ln \left(5\right)+2 \ln \left(2\right)-2 x -18\right)+2}}$&$22$\\ norman&$\frac{\ln \left(6 \ln \left(5\right)+2 \ln \left(2\right)-2 x -18\right) {\mathrm e}^{\frac{x}{\ln \left(6 \ln \left(5\right)+2 \ln \left(2\right)-2 x -18\right)+2}}+2 \,{\mathrm e}^{\frac{x}{\ln \left(6 \ln \left(5\right)+2 \ln \left(2\right)-2 x -18\right)+2}}}{\ln \left(6 \ln \left(5\right)+2 \ln \left(2\right)-2 x -18\right)+2}$&$80$\\ \hline \end{longtable}"," ",0,"exp(x/(ln(6*ln(5)+2*ln(2)-2*x-18)+2))","A"
8901,1,19,17,0.072000," ","int(((4*x-1)*ln(-4*x+1)+4*x^3-x^2-8*x+1)/((4*x-1)*ln(-4*x+1)^2+(-8*x^3+2*x^2-8*x+2)*ln(-4*x+1)+4*x^5-x^4+8*x^3-2*x^2+4*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x}{x^{2}-\ln \left(-4 x +1\right)+1}$&$19$\\ risch&$-\frac{x}{x^{2}-\ln \left(-4 x +1\right)+1}$&$19$\\ \hline \end{longtable}"," ",0,"-x/(x^2-ln(-4*x+1)+1)","A"
8902,1,18,27,0.135000," ","int(20*ln(2)^2/((7*x^2+10*x)*ln(1/2*(-7*x-10)/x)^3+(84*x^2+120*x)*ln(1/2*(-7*x-10)/x)^2+(336*x^2+480*x)*ln(1/2*(-7*x-10)/x)+448*x^2+640*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{\ln \left(2\right)^{2}}{\left(\ln \left(-\frac{7}{2}-\frac{5}{x}\right)+4\right)^{2}}$&$18$\\ default&$\frac{\ln \left(2\right)^{2}}{\left(\ln \left(-\frac{7}{2}-\frac{5}{x}\right)+4\right)^{2}}$&$18$\\ norman&$\frac{\ln \left(2\right)^{2}}{\left(\ln \left(\frac{-7 x -10}{2 x}\right)+4\right)^{2}}$&$21$\\ risch&$\frac{\ln \left(2\right)^{2}}{\left(\ln \left(\frac{-7 x -10}{2 x}\right)+4\right)^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"ln(2)^2/(ln(-7/2-5/x)+4)^2","A"
8903,1,14,21,0.502000," ","int(((-40*x^2-160*x-160)*ln(2)-4)/(x^2+4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-40 x \ln \left(2\right)+\frac{4}{2+x}$&$14$\\ risch&$-40 x \ln \left(2\right)+\frac{4}{2+x}$&$14$\\ norman&$\frac{-40 x^{2} \ln \left(2\right)+4+160 \ln \left(2\right)}{2+x}$&$20$\\ gosper&$-\frac{4 \left(10 x^{2} \ln \left(2\right)-1-40 \ln \left(2\right)\right)}{2+x}$&$21$\\ meijerg&$-\frac{x}{1+\frac{x}{2}}-80 \ln \left(2\right) \left(\frac{x \left(\frac{3 x}{2}+6\right)}{6+3 x}-2 \ln \left(1+\frac{x}{2}\right)\right)-160 \ln \left(2\right) \left(-\frac{x}{2 \left(1+\frac{x}{2}\right)}+\ln \left(1+\frac{x}{2}\right)\right)-\frac{40 \ln \left(2\right) x}{1+\frac{x}{2}}$&$73$\\ \hline \end{longtable}"," ",0,"-40*x*ln(2)+4/(2+x)","A"
8904,1,25,17,0.061000," ","int((27*exp(x)^8+(-144*x^2-256*x+64)*exp(x)^4)/(9*exp(x)^8-24*x*exp(x)^4+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{64 x}{3}-9 x \,{\mathrm e}^{4 x}}{-3 \,{\mathrm e}^{4 x}+4 x}$&$25$\\ risch&$3 x -\frac{4 \left(9 x +16\right) x}{3 \left(-3 \,{\mathrm e}^{4 x}+4 x \right)}$&$25$\\ \hline \end{longtable}"," ",0,"(-64/3*x-9*x*exp(x)^4)/(-3*exp(x)^4+4*x)","A"
8905,1,3,4,0.017000," ","int(exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{x}$&$3$\\ lookup&${\mathrm e}^{x}$&$3$\\ derivativedivides&${\mathrm e}^{x}$&$3$\\ default&${\mathrm e}^{x}$&$3$\\ norman&${\mathrm e}^{x}$&$3$\\ risch&${\mathrm e}^{x}$&$3$\\ meijerg&${\mathrm e}^{x}-1$&$5$\\ \hline \end{longtable}"," ",0,"exp(x)","A"
8906,1,22,24,0.122000," ","int(((24*x^5-24*x^4-114*x^3+60*x^2+150*x)*exp(x^2)+24*x^5-24*x^4-114*x^3+56*x^2+150*x-10)/(12*x^4-12*x^3-57*x^2+30*x+75),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{x}{3 x^{2}-\frac{3}{2} x -\frac{15}{2}}+{\mathrm e}^{x^{2}}$&$22$\\ norman&$\frac{-\frac{11 x^{2}}{3}-x^{3}+2 x^{4}+2 x^{2} {\mathrm e}^{x^{2}}-{\mathrm e}^{x^{2}} x -5 \,{\mathrm e}^{x^{2}}-\frac{10}{3}}{2 x^{2}-x -5}$&$53$\\ \hline \end{longtable}"," ",0,"x^2+1/3*x/(x^2-1/2*x-5/2)+exp(x^2)","A"
8907,1,25,30,0.030000," ","int((25*exp(5)*ln(x)^2+50*exp(5)*ln(2)*ln(x)+2*(25*x+25)*exp(5)*ln(2))/x^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{25 \,{\mathrm e}^{5}}{x}-\frac{50 \,{\mathrm e}^{5} \ln \left(2\right) \left(x +1\right)}{x \ln \left(x \right)}$&$25$\\ norman&$\frac{-50 \,{\mathrm e}^{5} \ln \left(2\right)-25 \,{\mathrm e}^{5} \ln \left(x \right)-50 x \,{\mathrm e}^{5} \ln \left(2\right)}{x \ln \left(x \right)}$&$29$\\ default&$-\frac{25 \,{\mathrm e}^{5}}{x}-50 \,{\mathrm e}^{5} \ln \left(2\right) \expIntegralEi \left(1, \ln \left(x \right)\right)-\frac{50 \,{\mathrm e}^{5} \ln \left(2\right)}{\ln \left(x \right)}+50 \,{\mathrm e}^{5} \ln \left(2\right) \left(-\frac{1}{x \ln \left(x \right)}+\expIntegralEi \left(1, \ln \left(x \right)\right)\right)$&$49$\\ \hline \end{longtable}"," ",0,"-25*exp(5)/x-50/x*exp(5)*ln(2)*(x+1)/ln(x)","A"
8908,1,48,24,0.469000," ","int((((4*x^3-1536*x^2+131072*x)*exp(3)-4*x^4+1540*x^3-132608*x^2+131072*x)*ln(exp(3)-x+1)+(16*x^3-6144*x^2+524288*x)*exp(3)-17*x^4+6672*x^3-595968*x^2+524288*x-65536)/(65536*exp(3)-65536*x+65536),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{1}{65536} x^{4}-\frac{1}{128} x^{3}+x^{2}\right) \ln \left({\mathrm e}^{3}-x +1\right)+\frac{x^{4}}{16384}-\frac{x^{3}}{32}+4 x^{2}+\ln \left(-{\mathrm e}^{3}+x -1\right)$&$48$\\ norman&$\ln \left({\mathrm e}^{3}-x +1\right)+\ln \left({\mathrm e}^{3}-x +1\right) x^{2}+4 x^{2}-\frac{x^{3}}{32}+\frac{x^{4}}{16384}-\frac{\ln \left({\mathrm e}^{3}-x +1\right) x^{3}}{128}+\frac{\ln \left({\mathrm e}^{3}-x +1\right) x^{4}}{65536}$&$63$\\ derivativedivides&$\frac{32385 x}{4096}+\frac{32003 \,{\mathrm e}^{6} \ln \left({\mathrm e}^{3}-x +1\right)}{32768}-\frac{5 \,{\mathrm e}^{9} \left({\mathrm e}^{3}-x +1\right)}{16384}+\frac{27 \,{\mathrm e}^{6} \left({\mathrm e}^{3}-x +1\right)^{2}}{65536}+\frac{1905 \,{\mathrm e}^{6} \left({\mathrm e}^{3}-x +1\right)}{16384}-\frac{127 \,{\mathrm e}^{9} \ln \left({\mathrm e}^{3}-x +1\right)}{16384}+\frac{381 \,{\mathrm e}^{6} \left(\ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)-{\mathrm e}^{3}+x -1\right)}{16384}+\frac{3 \,{\mathrm e}^{6} \left(\frac{\ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)^{2}}{2}-\frac{\left({\mathrm e}^{3}-x +1\right)^{2}}{4}\right)}{16384}-\frac{{\mathrm e}^{9} \left(\ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)-{\mathrm e}^{3}+x -1\right)}{16384}+\frac{{\mathrm e}^{12} \ln \left({\mathrm e}^{3}-x +1\right)}{65536}-\frac{32385 \,{\mathrm e}^{3}}{4096}+\frac{130561 \ln \left({\mathrm e}^{3}-x +1\right)}{65536}+\frac{32003 \left({\mathrm e}^{3}-x +1\right)^{2}}{8192}+\frac{32385 \,{\mathrm e}^{3} \ln \left({\mathrm e}^{3}-x +1\right)}{16384}+\frac{32003 \ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)^{2}}{32768}-\frac{381 \,{\mathrm e}^{3} \left(\frac{\ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)^{2}}{2}-\frac{\left({\mathrm e}^{3}-x +1\right)^{2}}{4}\right)}{8192}+\frac{127 \ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)^{3}}{16384}-\frac{3 \,{\mathrm e}^{3} \left(\frac{\ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)^{3}}{3}-\frac{\left({\mathrm e}^{3}-x +1\right)^{3}}{9}\right)}{16384}+\frac{\ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)^{4}}{65536}-\frac{13 \,{\mathrm e}^{3} \left({\mathrm e}^{3}-x +1\right)^{3}}{49152}-\frac{3429 \,{\mathrm e}^{3} \left({\mathrm e}^{3}-x +1\right)^{2}}{32768}-\frac{160015 \,{\mathrm e}^{3} \left({\mathrm e}^{3}-x +1\right)}{16384}-\frac{32385 \ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)}{16384}-\frac{32003 \,{\mathrm e}^{3} \left(\ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)-{\mathrm e}^{3}+x -1\right)}{16384}+\frac{127 \left({\mathrm e}^{3}-x +1\right)^{3}}{4096}+\frac{\left({\mathrm e}^{3}-x +1\right)^{4}}{16384}-\frac{32385}{4096}$&$451$\\ default&$\frac{32385 x}{4096}+\frac{32003 \,{\mathrm e}^{6} \ln \left({\mathrm e}^{3}-x +1\right)}{32768}-\frac{5 \,{\mathrm e}^{9} \left({\mathrm e}^{3}-x +1\right)}{16384}+\frac{27 \,{\mathrm e}^{6} \left({\mathrm e}^{3}-x +1\right)^{2}}{65536}+\frac{1905 \,{\mathrm e}^{6} \left({\mathrm e}^{3}-x +1\right)}{16384}-\frac{127 \,{\mathrm e}^{9} \ln \left({\mathrm e}^{3}-x +1\right)}{16384}+\frac{381 \,{\mathrm e}^{6} \left(\ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)-{\mathrm e}^{3}+x -1\right)}{16384}+\frac{3 \,{\mathrm e}^{6} \left(\frac{\ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)^{2}}{2}-\frac{\left({\mathrm e}^{3}-x +1\right)^{2}}{4}\right)}{16384}-\frac{{\mathrm e}^{9} \left(\ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)-{\mathrm e}^{3}+x -1\right)}{16384}+\frac{{\mathrm e}^{12} \ln \left({\mathrm e}^{3}-x +1\right)}{65536}-\frac{32385 \,{\mathrm e}^{3}}{4096}+\frac{130561 \ln \left({\mathrm e}^{3}-x +1\right)}{65536}+\frac{32003 \left({\mathrm e}^{3}-x +1\right)^{2}}{8192}+\frac{32385 \,{\mathrm e}^{3} \ln \left({\mathrm e}^{3}-x +1\right)}{16384}+\frac{32003 \ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)^{2}}{32768}-\frac{381 \,{\mathrm e}^{3} \left(\frac{\ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)^{2}}{2}-\frac{\left({\mathrm e}^{3}-x +1\right)^{2}}{4}\right)}{8192}+\frac{127 \ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)^{3}}{16384}-\frac{3 \,{\mathrm e}^{3} \left(\frac{\ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)^{3}}{3}-\frac{\left({\mathrm e}^{3}-x +1\right)^{3}}{9}\right)}{16384}+\frac{\ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)^{4}}{65536}-\frac{13 \,{\mathrm e}^{3} \left({\mathrm e}^{3}-x +1\right)^{3}}{49152}-\frac{3429 \,{\mathrm e}^{3} \left({\mathrm e}^{3}-x +1\right)^{2}}{32768}-\frac{160015 \,{\mathrm e}^{3} \left({\mathrm e}^{3}-x +1\right)}{16384}-\frac{32385 \ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)}{16384}-\frac{32003 \,{\mathrm e}^{3} \left(\ln \left({\mathrm e}^{3}-x +1\right) \left({\mathrm e}^{3}-x +1\right)-{\mathrm e}^{3}+x -1\right)}{16384}+\frac{127 \left({\mathrm e}^{3}-x +1\right)^{3}}{4096}+\frac{\left({\mathrm e}^{3}-x +1\right)^{4}}{16384}-\frac{32385}{4096}$&$451$\\ \hline \end{longtable}"," ",0,"(1/65536*x^4-1/128*x^3+x^2)*ln(exp(3)-x+1)+1/16384*x^4-1/32*x^3+4*x^2+ln(-exp(3)+x-1)","A"
8909,1,90,27,0.276000," ","int(((25*x*ln(5)^2+(10*x*exp(1)-10*x^2-50*x)*ln(5)+x*exp(1)^2+(-2*x^2-10*x)*exp(1)+x^3+10*x^2+30*x)*ln(3/x)^2+(-150*x*ln(5)-30*x*exp(1)+30*x^2+150*x)*ln(3/x)+225*x+75)/((25*x*ln(5)^2+(10*x*exp(1)-10*x^2-50*x)*ln(5)+x*exp(1)^2+(-2*x^2-10*x)*exp(1)+x^3+10*x^2+25*x)*ln(3/x)^2+(-150*x*ln(5)-30*x*exp(1)+30*x^2+150*x)*ln(3/x)+225*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x \ln \left(5\right)+x \,{\mathrm e}-x^{2}-5 x +5}{5 \ln \left(5\right)+{\mathrm e}-x -5}+\frac{75}{\left(5 \ln \left(5\right)+{\mathrm e}-x -5\right) \left(5 \ln \left(\frac{3}{x}\right) \ln \left(5\right)+{\mathrm e} \ln \left(\frac{3}{x}\right)-x \ln \left(\frac{3}{x}\right)-5 \ln \left(\frac{3}{x}\right)-15\right)}$&$90$\\ norman&$\frac{\left(25 \ln \left(5\right)^{2}+10 \,{\mathrm e} \ln \left(5\right)+{\mathrm e}^{2}-50 \ln \left(5\right)-10 \,{\mathrm e}+30\right) \ln \left(\frac{3}{x}\right)+75-15 x -x^{2} \ln \left(\frac{3}{x}\right)-15 \,{\mathrm e}-75 \ln \left(5\right)}{5 \ln \left(\frac{3}{x}\right) \ln \left(5\right)+{\mathrm e} \ln \left(\frac{3}{x}\right)-x \ln \left(\frac{3}{x}\right)-5 \ln \left(\frac{3}{x}\right)-15}$&$99$\\ \hline \end{longtable}"," ",0,"(5*x*ln(5)+x*exp(1)-x^2-5*x+5)/(5*ln(5)+exp(1)-x-5)+75/(5*ln(5)+exp(1)-x-5)/(5*ln(3/x)*ln(5)+exp(1)*ln(3/x)-x*ln(3/x)-5*ln(3/x)-15)","B"
8910,1,15,12,0.438000," ","int((4*x+26)*ln(-x^2-13*x)/(3*x^2+39*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(-x^{2}-13 x \right)^{2}}{3}$&$15$\\ risch&$\frac{\ln \left(-x^{2}-13 x \right)^{2}}{3}$&$15$\\ default&$\frac{2 \ln \left(x \right) \ln \left(-x^{2}-13 x \right)}{3}-\frac{\ln \left(x \right)^{2}}{3}-\frac{2 \ln \left(x \right) \ln \left(\frac{x}{13}+1\right)}{3}+\frac{2 \ln \left(x +13\right) \ln \left(-x^{2}-13 x \right)}{3}-\frac{2 \left(\ln \left(x +13\right)-\ln \left(\frac{x}{13}+1\right)\right) \ln \left(-\frac{x}{13}\right)}{3}-\frac{\ln \left(x +13\right)^{2}}{3}$&$75$\\ \hline \end{longtable}"," ",0,"1/3*ln(-x^2-13*x)^2","A"
8911,1,23,23,0.082000," ","int(1/5*((x-2)*exp(5)*exp(x)+4*x*exp(5))*exp(exp(10))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{4 \,{\mathrm e}^{5} {\mathrm e}^{{\mathrm e}^{10}} x}{5}+\frac{{\mathrm e}^{5} {\mathrm e}^{{\mathrm e}^{10}} {\mathrm e}^{x}}{5}}{x^{2}}$&$23$\\ risch&$-\frac{4 \,{\mathrm e}^{{\mathrm e}^{10}+5}}{5 x}+\frac{{\mathrm e}^{{\mathrm e}^{10}+5+x}}{5 x^{2}}$&$23$\\ default&$\frac{{\mathrm e}^{{\mathrm e}^{10}} \left({\mathrm e}^{5} \left(-\frac{{\mathrm e}^{x}}{x}-\expIntegralEi \left(1, -x \right)\right)-\frac{4 \,{\mathrm e}^{5}}{x}-2 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{x}}{2 x^{2}}-\frac{{\mathrm e}^{x}}{2 x}-\frac{\expIntegralEi \left(1, -x \right)}{2}\right)\right)}{5}$&$58$\\ \hline \end{longtable}"," ",0,"(-4/5*exp(5)*exp(exp(10))*x+1/5*exp(5)*exp(exp(10))*exp(x))/x^2","A"
8912,1,20,21,0.068000," ","int(((8*x^4-20*x^3-24*x^2)*ln(2)*exp(x)^2+x^2-6*x+9)/(x^3-6*x^2+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 x^{2} \ln \left(2\right) {\mathrm e}^{2 x}}{x -3}+\ln \left(x \right)$&$20$\\ risch&$\frac{4 x^{2} \ln \left(2\right) {\mathrm e}^{2 x}}{x -3}+\ln \left(x \right)$&$20$\\ default&$\ln \left(x \right)+\frac{36 \ln \left(2\right) {\mathrm e}^{2 x}}{x -3}+12 \ln \left(2\right) {\mathrm e}^{2 x}+4 \ln \left(2\right) {\mathrm e}^{2 x} x$&$34$\\ \hline \end{longtable}"," ",0,"4*x^2*ln(2)*exp(x)^2/(x-3)+ln(x)","A"
8913,1,26,20,0.048000," ","int((-75*x^2-150*x)*exp(3)*exp(x+1)+12*x^3+27*x^2+10*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x^{2}+9 x^{3}+3 x^{4}-75 x^{2} {\mathrm e}^{4+x}$&$26$\\ norman&$5 x^{2}+9 x^{3}+3 x^{4}-75 \,{\mathrm e}^{3} {\mathrm e}^{x +1} x^{2}$&$28$\\ default&$75 \,{\mathrm e}^{3} \left(-{\mathrm e}^{x +1} \left(x +1\right)^{2}+2 \left(x +1\right) {\mathrm e}^{x +1}-{\mathrm e}^{x +1}\right)+5 x^{2}+9 x^{3}+3 x^{4}$&$48$\\ derivativedivides&$-10 x -10+75 \,{\mathrm e}^{3} \left(-{\mathrm e}^{x +1} \left(x +1\right)^{2}+2 \left(x +1\right) {\mathrm e}^{x +1}-{\mathrm e}^{x +1}\right)+5 \left(x +1\right)^{2}+9 x^{3}+3 x^{4}$&$54$\\ \hline \end{longtable}"," ",0,"5*x^2+9*x^3+3*x^4-75*x^2*exp(4+x)","A"
8914,1,24,29,0.125000," ","int(((-2*x^2-4*x-2)*exp(3)*exp(exp(3)/x)^2-x^2*ln(2)-x^3-2*x^2-x)*exp(((x+1)*exp(exp(3)/x)^2+ln(2)-3*x-3)/(x+1))/(2*x^5+4*x^4+2*x^3)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2^{\frac{1}{x +1}} {\mathrm e}^{-5+{\mathrm e}^{\frac{2 \,{\mathrm e}^{3}}{x}}}}{2 x}$&$24$\\ \hline \end{longtable}"," ",0,"1/2*2^(1/(x+1))/x*exp(-5+exp(2*exp(3)/x))","A"
8915,1,19,19,0.050000," ","int(1/2*(-12*x^2*exp(3*x)^2-48*x^2*exp(3*x)-5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{2 x}-{\mathrm e}^{6 x}-8 \,{\mathrm e}^{3 x}$&$19$\\ derivativedivides&$\frac{5}{2 x}-{\mathrm e}^{6 x}-8 \,{\mathrm e}^{3 x}$&$21$\\ default&$\frac{5}{2 x}-{\mathrm e}^{6 x}-8 \,{\mathrm e}^{3 x}$&$21$\\ norman&$\frac{\frac{5}{2}-8 x \,{\mathrm e}^{3 x}-x \,{\mathrm e}^{6 x}}{x}$&$23$\\ \hline \end{longtable}"," ",0,"5/2/x-exp(6*x)-8*exp(3*x)","A"
8916,1,28,23,1.020000," ","int((((10*x^3+10*x^2)*exp(1)*ln(3)+10*x*exp(1)*exp(3)-10*x^2-4*x)*ln(1/5*(-5*x^2-5*x)*exp(1)*ln(3)-exp(1)*exp(3)+x+2/5)+(10*x^3+5*x^2)*exp(1)*ln(3)-5*x^2)/((5*x^2+5*x)*exp(1)*ln(3)+5*exp(1)*exp(3)-5*x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(\frac{\left(-5 x^{2}-5 x \right) {\mathrm e} \ln \left(3\right)}{5}-{\mathrm e}^{4}+x +\frac{2}{5}\right)$&$28$\\ norman&$x^{2} \ln \left(\frac{\left(-5 x^{2}-5 x \right) {\mathrm e} \ln \left(3\right)}{5}-{\mathrm e} \,{\mathrm e}^{3}+x +\frac{2}{5}\right)$&$30$\\ default&$-x^{2} \ln \left(5\right)+x^{2} \ln \left(-5 \,{\mathrm e} \ln \left(3\right) x^{2}-5 x \,{\mathrm e} \ln \left(3\right)-5 \,{\mathrm e} \,{\mathrm e}^{3}+5 x +2\right)$&$41$\\ \hline \end{longtable}"," ",0,"x^2*ln(1/5*(-5*x^2-5*x)*exp(1)*ln(3)-exp(4)+x+2/5)","A"
8917,1,19,20,0.455000," ","int(((-3*exp(2)*x-15*x^2)*ln(15*x/(exp(2)+5*x))+(-3*x+2)*exp(2)+10*x)/(2*exp(2)*x+10*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{3 x \ln \left(\frac{15 x}{{\mathrm e}^{2}+5 x}\right)}{2}+\ln \left(x \right)$&$19$\\ risch&$-\frac{3 x \ln \left(\frac{15 x}{{\mathrm e}^{2}+5 x}\right)}{2}+\ln \left(x \right)$&$19$\\ derivativedivides&$\frac{3 \,{\mathrm e}^{2} \left(\frac{10 \,{\mathrm e}^{-2} \ln \left(3-\frac{3 \,{\mathrm e}^{2}}{{\mathrm e}^{2}+5 x}\right)}{3}-\frac{10 \,{\mathrm e}^{-2} \ln \left(-\frac{3 \,{\mathrm e}^{2}}{{\mathrm e}^{2}+5 x}\right)}{3}-\frac{\ln \left(3-\frac{3 \,{\mathrm e}^{2}}{{\mathrm e}^{2}+5 x}\right) \left(3-\frac{3 \,{\mathrm e}^{2}}{{\mathrm e}^{2}+5 x}\right) {\mathrm e}^{-2} \left({\mathrm e}^{2}+5 x \right)}{3}\right)}{10}$&$87$\\ default&$\frac{3 \,{\mathrm e}^{2} \left(\frac{10 \,{\mathrm e}^{-2} \ln \left(3-\frac{3 \,{\mathrm e}^{2}}{{\mathrm e}^{2}+5 x}\right)}{3}-\frac{10 \,{\mathrm e}^{-2} \ln \left(-\frac{3 \,{\mathrm e}^{2}}{{\mathrm e}^{2}+5 x}\right)}{3}-\frac{\ln \left(3-\frac{3 \,{\mathrm e}^{2}}{{\mathrm e}^{2}+5 x}\right) \left(3-\frac{3 \,{\mathrm e}^{2}}{{\mathrm e}^{2}+5 x}\right) {\mathrm e}^{-2} \left({\mathrm e}^{2}+5 x \right)}{3}\right)}{10}$&$87$\\ \hline \end{longtable}"," ",0,"-3/2*x*ln(15*x/(exp(2)+5*x))+ln(x)","A"
8918,1,42,25,0.078000," ","int((-2*x*ln(x)-2*x*exp(4)+12*x^2+8*x-6)/(9*exp(-1/3*x*ln(x)-1/3*x*exp(4)+x^2+5/3*x)-6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \ln \left(x \right)}{3}+\frac{x \,{\mathrm e}^{4}}{3}-x^{2}-\frac{5 x}{3}+\ln \left(x^{-\frac{x}{3}} {\mathrm e}^{-\frac{x \left({\mathrm e}^{4}-3 x -5\right)}{3}}-\frac{2 x}{3}\right)$&$42$\\ norman&$\left(-\frac{5}{3}+\frac{{\mathrm e}^{4}}{3}\right) x -x^{2}+\frac{x \ln \left(x \right)}{3}+\ln \left(-9 \,{\mathrm e}^{-\frac{x \ln \left(x \right)}{3}-\frac{x \,{\mathrm e}^{4}}{3}+x^{2}+\frac{5 x}{3}}+6 x \right)$&$45$\\ \hline \end{longtable}"," ",0,"1/3*x*ln(x)+1/3*x*exp(4)-x^2-5/3*x+ln(x^(-1/3*x)*exp(-1/3*x*(exp(4)-3*x-5))-2/3*x)","A"
8919,1,19,21,0.022000," ","int(1/5*(2*exp(x)^2*x^3+180*exp(9/x^2)^2+3*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{2 x}}{5}-{\mathrm e}^{\frac{18}{x^{2}}}+\frac{3 x}{5}$&$19$\\ risch&$\frac{{\mathrm e}^{2 x}}{5}-{\mathrm e}^{\frac{18}{x^{2}}}+\frac{3 x}{5}$&$19$\\ \hline \end{longtable}"," ",0,"3/5*x+1/5*exp(x)^2-exp(1/x^2)^18","A"
8920,1,17,18,0.440000," ","int((x^3+2*x^2-4*x-1)/(x^3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\ln \left(x \right)-\ln \left(x -1\right)+2 \ln \left(x +1\right)$&$17$\\ norman&$x +\ln \left(x \right)-\ln \left(x -1\right)+2 \ln \left(x +1\right)$&$17$\\ risch&$x +\ln \left(x \right)-\ln \left(x -1\right)+2 \ln \left(x +1\right)$&$17$\\ meijerg&$\ln \left(x \right)+\frac{i \pi}{2}+\frac{\ln \left(-x^{2}+1\right)}{2}-\frac{i \left(2 i x -2 i \arctanh \left(x \right)\right)}{2}+4 \arctanh \left(x \right)$&$35$\\ \hline \end{longtable}"," ",0,"x+ln(x)-ln(x-1)+2*ln(x+1)","A"
8921,1,9,16,0.054000," ","int(-1/x/ln(x)/ln(3/ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\ln \left(\frac{3}{\ln \left(x \right)}\right)\right)$&$9$\\ default&$\ln \left(\ln \left(\frac{3}{\ln \left(x \right)}\right)\right)$&$9$\\ norman&$\ln \left(\ln \left(\frac{3}{\ln \left(x \right)}\right)\right)$&$9$\\ risch&$\ln \left(\ln \left(\ln \left(x \right)\right)-\ln \left(3\right)\right)$&$10$\\ \hline \end{longtable}"," ",0,"ln(ln(3/ln(x)))","A"
8922,1,34,28,0.032000," ","int(1/15625*((5000*x*ln(3)+15625000*x+3125000)*ln(x)+8*x^2*ln(3)^2+2*(25000*x^2+2500*x)*ln(3)+78125000*x^2+15625000*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{4 \ln \left(3\right)^{2}}{15625}+\frac{8 \ln \left(3\right)}{5}+2500\right) x^{2}+\left(\frac{8 \ln \left(3\right)}{25}+1000\right) x \ln \left(x \right)+100 \ln \left(x \right)^{2}$&$34$\\ risch&$100 \ln \left(x \right)^{2}+\frac{8 \left(\ln \left(3\right)+3125\right) x \ln \left(x \right)}{25}+\frac{4 x^{2} \ln \left(3\right)^{2}}{15625}+\frac{8 x^{2} \ln \left(3\right)}{5}+2500 x^{2}$&$38$\\ default&$\frac{4 x^{2} \ln \left(3\right)^{2}}{15625}+\frac{8 \ln \left(3\right) \left(x \ln \left(x \right)-x \right)}{25}+\frac{8 x^{2} \ln \left(3\right)}{5}+1000 x \ln \left(x \right)+\frac{8 x \ln \left(3\right)}{25}+2500 x^{2}+100 \ln \left(x \right)^{2}$&$51$\\ \hline \end{longtable}"," ",0,"(4/15625*ln(3)^2+8/5*ln(3)+2500)*x^2+(8/25*ln(3)+1000)*x*ln(x)+100*ln(x)^2","A"
8923,1,17,13,0.489000," ","int((-3*exp(6)-3*exp(1))/(x*exp(6)+x*exp(1)-4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-3 \ln \left(x \right)+\ln \left(-4 x^{3}+{\mathrm e}+{\mathrm e}^{6}\right)$&$17$\\ default&$\left(-3 \,{\mathrm e}^{6}-3 \,{\mathrm e}\right) \left(-\frac{\ln \left(4 x^{3}-{\mathrm e}-{\mathrm e}^{6}\right)}{3 \left({\mathrm e}^{6}+{\mathrm e}\right)}+\frac{\ln \left(x \right)}{{\mathrm e}^{6}+{\mathrm e}}\right)$&$46$\\ risch&$-\frac{3 \,{\mathrm e}^{-1} \ln \left(x \right) {\mathrm e}^{6}}{{\mathrm e}^{5}+1}-\frac{3 \,{\mathrm e}^{-1} \ln \left(x \right) {\mathrm e}}{{\mathrm e}^{5}+1}+\frac{{\mathrm e}^{-1} \ln \left(4 x^{3}-{\mathrm e}-{\mathrm e}^{6}\right) {\mathrm e}^{6}}{{\mathrm e}^{5}+1}+\frac{{\mathrm e}^{-1} \ln \left(4 x^{3}-{\mathrm e}-{\mathrm e}^{6}\right) {\mathrm e}}{{\mathrm e}^{5}+1}$&$82$\\ meijerg&$-\frac{{\mathrm e}^{6} \left(3 \ln \left(x \right)+2 \ln \left(2\right)-\ln \left({\mathrm e}^{6}+{\mathrm e}\right)+i \pi -\ln \left(1-\frac{4 x^{3}}{{\mathrm e}^{6}+{\mathrm e}}\right)\right)}{{\mathrm e}^{6}+{\mathrm e}}-\frac{{\mathrm e} \left(3 \ln \left(x \right)+2 \ln \left(2\right)-\ln \left({\mathrm e}^{6}+{\mathrm e}\right)+i \pi -\ln \left(1-\frac{4 x^{3}}{{\mathrm e}^{6}+{\mathrm e}}\right)\right)}{{\mathrm e}^{6}+{\mathrm e}}$&$100$\\ \hline \end{longtable}"," ",0,"-3*ln(x)+ln(-4*x^3+exp(1)+exp(6))","A"
8924,1,114,30,0.209000," ","int((((16*x^3+2*x^2)*ln(x)-16*x^4-2*x^3)*ln(25*ln(x)-25*x)^2+(((-8*x-1)*ln(x)+8*x^2+x)*ln(2*x^2+1/4*x)+(16*x+1)*ln(x)-16*x^2-x)*ln(25*ln(x)-25*x)+(8*x^2-7*x-1)*ln(2*x^2+1/4*x))/((8*x^3+x^2)*ln(x)-8*x^4-x^3)/ln(25*ln(x)-25*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x +\frac{1}{8}\right)\right) \mathrm{csgn}\left(i x \left(x +\frac{1}{8}\right)\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x +\frac{1}{8}\right)\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(x +\frac{1}{8}\right)\right) \mathrm{csgn}\left(i x \left(x +\frac{1}{8}\right)\right)^{2}+i \pi  \mathrm{csgn}\left(i x \left(x +\frac{1}{8}\right)\right)^{3}+4 \ln \left(2\right)-2 \ln \left(x \right)-2 \ln \left(x +\frac{1}{8}\right)}{2 x \ln \left(25 \ln \left(x \right)-25 x \right)}$&$114$\\ \hline \end{longtable}"," ",0,"2*x-1/2*(I*Pi*csgn(I*x)*csgn(I*(x+1/8))*csgn(I*x*(x+1/8))-I*Pi*csgn(I*x)*csgn(I*x*(x+1/8))^2-I*Pi*csgn(I*(x+1/8))*csgn(I*x*(x+1/8))^2+I*Pi*csgn(I*x*(x+1/8))^3+4*ln(2)-2*ln(x)-2*ln(x+1/8))/x/ln(25*ln(x)-25*x)","C"
8925,1,33,24,0.068000," ","int(((-2*exp(1)^2-8*x*exp(1)-8*x^2+2)*exp(exp(4))^2+((4*x+2)*exp(1)+8*x^2+4*x-2)*exp(exp(4))-2*x^2-2*x)/exp(x)^2/exp(exp(4))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\left({\mathrm e}^{{\mathrm e}^{4}} {\mathrm e}+2 x \,{\mathrm e}^{{\mathrm e}^{4}}+{\mathrm e}^{{\mathrm e}^{4}}-x -1\right)^{2} {\mathrm e}^{-2 x} {\mathrm e}^{-2 \,{\mathrm e}^{4}}$&$33$\\ risch&$\left({\mathrm e}^{2 \,{\mathrm e}^{4}+2}+4 x \,{\mathrm e}^{2 \,{\mathrm e}^{4}+1}+4 \,{\mathrm e}^{2 \,{\mathrm e}^{4}} x^{2}+2 \,{\mathrm e}^{2 \,{\mathrm e}^{4}+1}-2 x \,{\mathrm e}^{{\mathrm e}^{4}+1}+4 x \,{\mathrm e}^{2 \,{\mathrm e}^{4}}-4 x^{2} {\mathrm e}^{{\mathrm e}^{4}}-2 \,{\mathrm e}^{{\mathrm e}^{4}+1}+{\mathrm e}^{2 \,{\mathrm e}^{4}}-6 x \,{\mathrm e}^{{\mathrm e}^{4}}+x^{2}-2 \,{\mathrm e}^{{\mathrm e}^{4}}+2 x +1\right) {\mathrm e}^{-2 \,{\mathrm e}^{4}-2 x}$&$102$\\ norman&$\left(\left({\mathrm e}^{2} {\mathrm e}^{2 \,{\mathrm e}^{4}}+{\mathrm e}^{2 \,{\mathrm e}^{4}}-2 \,{\mathrm e}^{{\mathrm e}^{4}} {\mathrm e}-2 \,{\mathrm e}^{{\mathrm e}^{4}}+1+2 \,{\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e}\right) {\mathrm e}^{-{\mathrm e}^{4}}+\left(4 \,{\mathrm e}^{2 \,{\mathrm e}^{4}}-4 \,{\mathrm e}^{{\mathrm e}^{4}}+1\right) {\mathrm e}^{-{\mathrm e}^{4}} x^{2}+2 \left(2 \,{\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e}-{\mathrm e}^{{\mathrm e}^{4}} {\mathrm e}-3 \,{\mathrm e}^{{\mathrm e}^{4}}+1+2 \,{\mathrm e}^{2 \,{\mathrm e}^{4}}\right) {\mathrm e}^{-{\mathrm e}^{4}} x \right) {\mathrm e}^{-2 x} {\mathrm e}^{-{\mathrm e}^{4}}$&$117$\\ meijerg&$-{\mathrm e}^{2} \left(1-{\mathrm e}^{-2 x}\right)+1-{\mathrm e}^{-2 x}+{\mathrm e}^{1-{\mathrm e}^{4}} \left(1-{\mathrm e}^{-2 x}\right)-{\mathrm e}^{-{\mathrm e}^{4}} \left(1-{\mathrm e}^{-2 x}\right)+\frac{{\mathrm e}^{-2 \,{\mathrm e}^{4}} \left(-8 \,{\mathrm e}^{2 \,{\mathrm e}^{4}+1}+4 \,{\mathrm e}^{{\mathrm e}^{4}+1}+4 \,{\mathrm e}^{{\mathrm e}^{4}}-2\right) \left(1-\frac{\left(4 x +2\right) {\mathrm e}^{-2 x}}{2}\right)}{4}+\frac{{\mathrm e}^{-2 \,{\mathrm e}^{4}} \left(-8 \,{\mathrm e}^{2 \,{\mathrm e}^{4}}+8 \,{\mathrm e}^{{\mathrm e}^{4}}-2\right) \left(2-\frac{\left(12 x^{2}+12 x +6\right) {\mathrm e}^{-2 x}}{3}\right)}{8}$&$134$\\ default&${\mathrm e}^{-2 \,{\mathrm e}^{4}} \left(2 x \,{\mathrm e}^{-2 x}+{\mathrm e}^{-2 x}+x^{2} {\mathrm e}^{-2 x}+{\mathrm e}^{-2 x} {\mathrm e}^{{\mathrm e}^{4}}-{\mathrm e}^{-2 x} {\mathrm e}^{2 \,{\mathrm e}^{4}}+4 \,{\mathrm e}^{{\mathrm e}^{4}} \left(-\frac{x \,{\mathrm e}^{-2 x}}{2}-\frac{{\mathrm e}^{-2 x}}{4}\right)+8 \,{\mathrm e}^{{\mathrm e}^{4}} \left(-\frac{x^{2} {\mathrm e}^{-2 x}}{2}-\frac{x \,{\mathrm e}^{-2 x}}{2}-\frac{{\mathrm e}^{-2 x}}{4}\right)-8 \,{\mathrm e}^{2 \,{\mathrm e}^{4}} \left(-\frac{x^{2} {\mathrm e}^{-2 x}}{2}-\frac{x \,{\mathrm e}^{-2 x}}{2}-\frac{{\mathrm e}^{-2 x}}{4}\right)-{\mathrm e}^{-2 x} {\mathrm e}^{{\mathrm e}^{4}} {\mathrm e}+{\mathrm e}^{-2 x} {\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e}^{2}+4 \,{\mathrm e}^{{\mathrm e}^{4}} {\mathrm e} \left(-\frac{x \,{\mathrm e}^{-2 x}}{2}-\frac{{\mathrm e}^{-2 x}}{4}\right)-8 \,{\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e} \left(-\frac{x \,{\mathrm e}^{-2 x}}{2}-\frac{{\mathrm e}^{-2 x}}{4}\right)\right)$&$192$\\ \hline \end{longtable}"," ",0,"(exp(exp(4))*exp(1)+2*x*exp(exp(4))+exp(exp(4))-x-1)^2/exp(x)^2/exp(exp(4))^2","A"
8926,1,42,32,0.273000," ","int((((4*x^2-18*x+20)*exp(3-x)+8*x^3-80*x^2+250*x-250)*ln(((2-x)*exp(3-x)-2*x^2+15*x-25)/(2*x-5))+(-4*x^3+38*x^2-112*x+100)*exp(3-x)+48*x^3-440*x^2+1300*x-1250)/(((2*x^3-9*x^2+10*x)*exp(3-x)+4*x^4-40*x^3+125*x^2-125*x)*ln(((2-x)*exp(3-x)-2*x^2+15*x-25)/(2*x-5))+(10*x^3-45*x^2+50*x)*exp(3-x)+20*x^4-200*x^3+625*x^2-625*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(x \right)+2 \ln \left(\ln \left(\frac{\left(2-x \right) {\mathrm e}^{3-x}-2 x^{2}+15 x -25}{2 x -5}\right)+5\right)$&$42$\\ risch&$2 \ln \left(x \right)+2 \ln \left(\ln \left(x^{2}+\left(\frac{{\mathrm e}^{3-x}}{2}-\frac{15}{2}\right) x -{\mathrm e}^{3-x}+\frac{25}{2}\right)+\frac{i \left(-2 \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\frac{{\mathrm e}^{3-x}}{2}-\frac{15}{2}\right) x -{\mathrm e}^{3-x}+\frac{25}{2}\right)}{x -\frac{5}{2}}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{x -\frac{5}{2}}\right) \mathrm{csgn}\left(i \left(x^{2}+\left(\frac{{\mathrm e}^{3-x}}{2}-\frac{15}{2}\right) x -{\mathrm e}^{3-x}+\frac{25}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\frac{{\mathrm e}^{3-x}}{2}-\frac{15}{2}\right) x -{\mathrm e}^{3-x}+\frac{25}{2}\right)}{x -\frac{5}{2}}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x -\frac{5}{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\frac{{\mathrm e}^{3-x}}{2}-\frac{15}{2}\right) x -{\mathrm e}^{3-x}+\frac{25}{2}\right)}{x -\frac{5}{2}}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(x^{2}+\left(\frac{{\mathrm e}^{3-x}}{2}-\frac{15}{2}\right) x -{\mathrm e}^{3-x}+\frac{25}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\frac{{\mathrm e}^{3-x}}{2}-\frac{15}{2}\right) x -{\mathrm e}^{3-x}+\frac{25}{2}\right)}{x -\frac{5}{2}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\frac{{\mathrm e}^{3-x}}{2}-\frac{15}{2}\right) x -{\mathrm e}^{3-x}+\frac{25}{2}\right)}{x -\frac{5}{2}}\right)^{3}+2 \pi +2 i \ln \left(x -\frac{5}{2}\right)-10 i\right)}{2}\right)$&$318$\\ \hline \end{longtable}"," ",0,"2*ln(x)+2*ln(ln(((2-x)*exp(3-x)-2*x^2+15*x-25)/(2*x-5))+5)","A"
8927,1,34,27,0.051000," ","int(((-x^3+60*x+120)*ln(2)^2+2*x^4)/x^3/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{x^{4}}{\ln \left(2\right)}-60 x \ln \left(2\right)-x^{3} \ln \left(2\right)-60 \ln \left(2\right)}{x^{2} \ln \left(2\right)}$&$34$\\ default&$\frac{x^{2}-x \ln \left(2\right)^{2}-\frac{60 \ln \left(2\right)^{2}}{x^{2}}-\frac{60 \ln \left(2\right)^{2}}{x}}{\ln \left(2\right)^{2}}$&$35$\\ risch&$-x +\frac{x^{2}}{\ln \left(2\right)^{2}}+\frac{-60 x \ln \left(2\right)^{2}-60 \ln \left(2\right)^{2}}{\ln \left(2\right)^{2} x^{2}}$&$35$\\ gosper&$-\frac{-x^{4}+x^{3} \ln \left(2\right)^{2}+60 x \ln \left(2\right)^{2}+60 \ln \left(2\right)^{2}}{\ln \left(2\right)^{2} x^{2}}$&$37$\\ \hline \end{longtable}"," ",0,"(1/ln(2)*x^4-60*x*ln(2)-x^3*ln(2)-60*ln(2))/x^2/ln(2)","A"
8928,1,29,22,0.058000," ","int((2*(80*x^3+189*x+504)*ln(2)-320*x^3+252*x^2+1260*x+2016)/(16*x^5+128*x^4+256*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(20-10 \ln \left(2\right)\right) x^{2}-\frac{63 x}{8}-\frac{63 \ln \left(2\right)}{8}-\frac{63}{4}}{x^{2} \left(4+x \right)}$&$29$\\ risch&$\frac{\left(20-10 \ln \left(2\right)\right) x^{2}-\frac{63 x}{8}-\frac{63 \ln \left(2\right)}{8}-\frac{63}{4}}{x^{2} \left(4+x \right)}$&$29$\\ gosper&$-\frac{80 x^{2} \ln \left(2\right)-160 x^{2}+63 \ln \left(2\right)+63 x +126}{8 x^{2} \left(4+x \right)}$&$32$\\ default&$-\frac{-\frac{63 \ln \left(2\right)}{16}+\frac{63}{8}}{8 x}-\frac{\frac{63 \ln \left(2\right)}{2}+63}{16 x^{2}}-\frac{\frac{1343 \ln \left(2\right)}{16}-\frac{1343}{8}}{8 \left(4+x \right)}$&$37$\\ \hline \end{longtable}"," ",0,"((20-10*ln(2))*x^2-63/8*x-63/8*ln(2)-63/4)/x^2/(4+x)","A"
8929,1,53,35,0.443000," ","int(((((-64*x+64)*ln(x)-32*x^2+32*x)*ln((x-1)*exp(1))-16*x)*exp(ln(x)^2+3+x)^2+(((-64*x^2+64*x)*ln(x)-32*x^3+32*x)*ln((x-1)*exp(1))-32*x^2)*exp(ln(x)^2+3+x)+(-32*x^3+32*x^2)*ln((x-1)*exp(1))-16*x^3)/(x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-16 x^{2} \ln \left(\left(x -1\right) {\mathrm e}\right)-32 \ln \left(\left(x -1\right) {\mathrm e}\right) {\mathrm e}^{\ln \left(x \right)^{2}+3+x} x -16 \ln \left(\left(x -1\right) {\mathrm e}\right) {\mathrm e}^{2 \ln \left(x \right)^{2}+6+2 x}$&$53$\\ \hline \end{longtable}"," ",0,"-16*x^2*ln((x-1)*exp(1))-32*ln((x-1)*exp(1))*exp(ln(x)^2+3+x)*x-16*ln((x-1)*exp(1))*exp(2*ln(x)^2+6+2*x)","A"
8930,1,52,29,0.500000," ","int((((120*x^2-120*x)*exp(3*x-1)+80*x-80)*ln(x^2)+(120*x^2-120*x)*exp(3*x-1)^2+(-180*x^2+260*x-80)*exp(3*x-1)-115*x+120)/(x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-60 \ln \left(x^{2}\right)+20 \,{\mathrm e}^{6 x -2}+20 \ln \left(x^{2}\right)^{2}+40 \,{\mathrm e}^{3 x -1} \ln \left(x^{2}\right)-60 \,{\mathrm e}^{3 x -1}+5 \ln \left(x -1\right)$&$52$\\ default&$40 \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right) {\mathrm e}^{3 x -1}-60 \,{\mathrm e}^{3 x -1}+80 \ln \left(x \right) {\mathrm e}^{3 x -1}+20 \,{\mathrm e}^{6 x -2}+20 \ln \left(x^{2}\right)^{2}-120 \ln \left(x \right)+5 \ln \left(x -1\right)$&$65$\\ risch&$80 \ln \left(x \right)^{2}+80 \ln \left(x \right) {\mathrm e}^{3 x -1}-40 i \pi  \ln \left(\left(-8 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+16 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-8 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+25 i\right) x \right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+80 i \pi  \ln \left(\left(-8 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+16 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-8 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+25 i\right) x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-40 i \pi  \ln \left(\left(-8 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+16 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-8 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+25 i\right) x \right) \mathrm{csgn}\left(i x^{2}\right)^{3}-120 \ln \left(\left(-8 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+16 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-8 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+25 i\right) x \right)+5 \ln \left(1-x \right)+20 \,{\mathrm e}^{6 x -2}-20 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{3 x -1}+40 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{3 x -1}-20 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{3 x -1}-60 \,{\mathrm e}^{3 x -1}$&$368$\\ \hline \end{longtable}"," ",0,"-60*ln(x^2)+20*exp(3*x-1)^2+20*ln(x^2)^2+40*exp(3*x-1)*ln(x^2)-60*exp(3*x-1)+5*ln(x-1)","A"
8931,1,22,25,0.064000," ","int(((x^2-2*ln(2))*exp(x)+(-2*ln(2)-2*x^3+5*x^2)*exp(-x^2+5*x)-4*ln(2))*exp(2*ln(2)/x)*ln(ln(ln(5)))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\ln \left(5\right)\right)\right) \left(2+{\mathrm e}^{x}+{\mathrm e}^{-\left(x -5\right) x}\right) 4^{\frac{1}{x}}$&$22$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(5)))*(2+exp(x)+exp(-(x-5)*x))*4^(1/x)","A"
8932,1,18,18,0.465000," ","int((x^2*exp(5)+2*x^3+6*x^2+8*x)*exp(x^2/exp((exp(5)+x)/(2+x)))/(x^2+4*x+4)/exp((exp(5)+x)/(2+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{2} {\mathrm e}^{-\frac{{\mathrm e}^{5}+x}{2+x}}}$&$18$\\ norman&$\frac{\left(x \,{\mathrm e}^{\frac{{\mathrm e}^{5}+x}{2+x}} {\mathrm e}^{x^{2} {\mathrm e}^{-\frac{{\mathrm e}^{5}+x}{2+x}}}+2 \,{\mathrm e}^{\frac{{\mathrm e}^{5}+x}{2+x}} {\mathrm e}^{x^{2} {\mathrm e}^{-\frac{{\mathrm e}^{5}+x}{2+x}}}\right) {\mathrm e}^{-\frac{{\mathrm e}^{5}+x}{2+x}}}{2+x}$&$83$\\ \hline \end{longtable}"," ",0,"exp(x^2*exp(-(exp(5)+x)/(2+x)))","A"
8933,1,38,20,0.046000," ","int(((-20*x^4+80*x^3)*ln(3)^2+(-240*x^4+880*x^3+240*x^2)*ln(3)-720*x^4+2400*x^3+1360*x^2+160*x)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\left(480+80 \ln \left(3\right)\right) x^{3}+\left(20 \ln \left(3\right)^{2}+240 \ln \left(3\right)+720\right) x^{4}+80 x^{2}\right) {\mathrm e}^{-x}$&$38$\\ gosper&$20 \left(x^{2} \ln \left(3\right)^{2}+12 x^{2} \ln \left(3\right)+4 x \ln \left(3\right)+36 x^{2}+24 x +4\right) x^{2} {\mathrm e}^{-x}$&$40$\\ risch&$\left(20 x^{4} \ln \left(3\right)^{2}+240 x^{4} \ln \left(3\right)+80 x^{3} \ln \left(3\right)+720 x^{4}+480 x^{3}+80 x^{2}\right) {\mathrm e}^{-x}$&$45$\\ default&$80 x^{2} {\mathrm e}^{-x}+480 x^{3} {\mathrm e}^{-x}+720 x^{4} {\mathrm e}^{-x}+80 \,{\mathrm e}^{-x} x^{3} \ln \left(3\right)+240 \,{\mathrm e}^{-x} x^{4} \ln \left(3\right)+20 \,{\mathrm e}^{-x} x^{4} \ln \left(3\right)^{2}$&$64$\\ meijerg&$\left(240 \ln \left(3\right)+1360\right) \left(2-\frac{\left(3 x^{2}+6 x +6\right) {\mathrm e}^{-x}}{3}\right)+160-80 \left(2 x +2\right) {\mathrm e}^{-x}+\left(-20 \ln \left(3\right)^{2}-240 \ln \left(3\right)-720\right) \left(24-\frac{\left(5 x^{4}+20 x^{3}+60 x^{2}+120 x +120\right) {\mathrm e}^{-x}}{5}\right)+\left(80 \ln \left(3\right)^{2}+880 \ln \left(3\right)+2400\right) \left(6-\frac{\left(4 x^{3}+12 x^{2}+24 x +24\right) {\mathrm e}^{-x}}{4}\right)$&$116$\\ \hline \end{longtable}"," ",0,"((480+80*ln(3))*x^3+(20*ln(3)^2+240*ln(3)+720)*x^4+80*x^2)/exp(x)","A"
8934,1,22,21,0.490000," ","int(((-16*x^2+64*x-64)*exp(1)-3*x^2+12*x)/(x^2-4*x+4)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-1} \left(-16 x \,{\mathrm e}-3 x -\frac{12}{x -2}\right)$&$22$\\ risch&$-16 \,{\mathrm e}^{-1} x \,{\mathrm e}-3 \,{\mathrm e}^{-1} x -\frac{12 \,{\mathrm e}^{-1}}{x -2}$&$23$\\ norman&$\frac{-{\mathrm e}^{-1} \left(16 \,{\mathrm e}+3\right) x^{2}+64}{x -2}$&$24$\\ gosper&$-\frac{\left(16 x^{2} {\mathrm e}+3 x^{2}-64 \,{\mathrm e}\right) {\mathrm e}^{-1}}{x -2}$&$29$\\ meijerg&$-2 \left(-16 \,{\mathrm e}-3\right) {\mathrm e}^{-1} \left(-\frac{x \left(-\frac{3 x}{2}+6\right)}{6 \left(1-\frac{x}{2}\right)}-2 \ln \left(1-\frac{x}{2}\right)\right)+\left(64 \,{\mathrm e}+12\right) {\mathrm e}^{-1} \left(\frac{x}{2-x}+\ln \left(1-\frac{x}{2}\right)\right)-\frac{16 x}{1-\frac{x}{2}}$&$72$\\ \hline \end{longtable}"," ",0,"1/exp(1)*(-16*x*exp(1)-3*x-12/(x-2))","A"
8935,1,65,28,0.492000," ","int(((x^4-3*x^2)*exp(4)*exp(x)*ln(x^2-3)^3*exp(exp(x))+((x^4-3*x^2)*exp(4)-16*x^2+48)*ln(x^2-3)^3+(-40*x^2+120)*ln(x^2-3)^2+(-105*x^2+75)*ln(x^2-3)-100*x^2)*exp((x*exp(4)*ln(x^2-3)^2*exp(exp(x))+(x^2*exp(4)+16)*ln(x^2-3)^2+40*ln(x^2-3)+25)/x/exp(4)/ln(x^2-3)^2)/(x^4-3*x^2)/exp(4)/ln(x^2-3)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left({\mathrm e}^{4} \ln \left(x^{2}-3\right)^{2} x^{2}+x \ln \left(x^{2}-3\right)^{2} {\mathrm e}^{{\mathrm e}^{x}+4}+16 \ln \left(x^{2}-3\right)^{2}+40 \ln \left(x^{2}-3\right)+25\right) {\mathrm e}^{-4}}{x \ln \left(x^{2}-3\right)^{2}}}$&$65$\\ \hline \end{longtable}"," ",0,"exp((exp(4)*ln(x^2-3)^2*x^2+x*ln(x^2-3)^2*exp(exp(x)+4)+16*ln(x^2-3)^2+40*ln(x^2-3)+25)*exp(-4)/x/ln(x^2-3)^2)","B"
8936,1,18,18,0.429000," ","int((-ln(5)-3*x^2*exp(2))/(2*x*ln(5)+2*x^3*exp(2))/ln(1/4*x*ln(5)+1/4*x^3*exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(\ln \left(\frac{x \ln \left(5\right)}{4}+\frac{x^{3} {\mathrm e}^{2}}{4}\right)\right)}{2}$&$18$\\ risch&$-\frac{\ln \left(\ln \left(\frac{x \ln \left(5\right)}{4}+\frac{x^{3} {\mathrm e}^{2}}{4}\right)\right)}{2}$&$18$\\ \hline \end{longtable}"," ",0,"-1/2*ln(ln(1/4*x*ln(5)+1/4*x^3*exp(2)))","A"
8937,1,87,26,0.109000," ","int(((81*ln(3)-162*exp(4))*exp(x)^4+(-324*x*ln(3)+648*x*exp(4))*exp(x)^3+(486*x^2*ln(3)-972*x^2*exp(4)+18*x^4+54*x^3-108*x^2)*exp(x)^2+(-324*x^3*ln(3)+648*x^3*exp(4)-18*x^5-54*x^4+144*x^3)*exp(x)+81*x^4*ln(3)-162*x^4*exp(4)-36*x^4)/((81*ln(3)^2-324*exp(4)*ln(3)+324*exp(4)^2)*exp(x)^4+(-324*x*ln(3)^2+1296*exp(4)*x*ln(3)-1296*x*exp(4)^2)*exp(x)^3+(486*x^2*ln(3)^2+(-1944*x^2*exp(4)+18*x^3)*ln(3)+1944*x^2*exp(4)^2-36*x^3*exp(4))*exp(x)^2+(-324*x^3*ln(3)^2+(1296*x^3*exp(4)-36*x^4)*ln(3)-1296*x^3*exp(4)^2+72*x^4*exp(4))*exp(x)+81*x^4*ln(3)^2+(-324*x^4*exp(4)+18*x^5)*ln(3)+324*x^4*exp(4)^2-36*x^5*exp(4)+x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{-\ln \left(3\right)+2 \,{\mathrm e}^{4}}-\frac{\left(4+x \right) x^{3}}{\left(-\ln \left(3\right)+2 \,{\mathrm e}^{4}\right) \left(18 \,{\mathrm e}^{2 x +4}-36 x \,{\mathrm e}^{4+x}+18 x^{2} {\mathrm e}^{4}-9 \ln \left(3\right) {\mathrm e}^{2 x}+18 x \ln \left(3\right) {\mathrm e}^{x}-9 x^{2} \ln \left(3\right)-x^{3}\right)}$&$87$\\ \hline \end{longtable}"," ",0,"-x/(-ln(3)+2*exp(4))-(4+x)*x^3/(-ln(3)+2*exp(4))/(18*exp(2*x+4)-36*x*exp(4+x)+18*x^2*exp(4)-9*ln(3)*exp(2*x)+18*x*ln(3)*exp(x)-9*x^2*ln(3)-x^3)","B"
8938,1,25,20,0.154000," ","int((x^3*exp(x)*exp(exp(x))+((-5*x-18)*exp(9/x^2)*exp(5/x)+(x^3-18*x)*exp(9/x^2))*exp(exp(9/x^2)*exp(5/x)+x*exp(9/x^2)))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{{\mathrm e}^{\frac{5 x +9}{x^{2}}}+x \,{\mathrm e}^{\frac{9}{x^{2}}}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(exp(x))+exp(exp((5*x+9)/x^2)+x*exp(9/x^2))","A"
8939,1,32,26,0.085000," ","int((((8*x^2+56*x)*exp(x)+16*x+56)*ln(x)+(-8*x^3-56*x^2-2*x)*exp(x)-24*x^2-104*x+54)/((4*x^2+28*x)*ln(x)-4*x^3-28*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 \ln \left(x \right)+2 \ln \left(4 x^{2}-4 x \ln \left(x \right)+28 x -28 \ln \left(x \right)+1\right)+2 \,{\mathrm e}^{x}$&$32$\\ norman&$2 \ln \left(x \right)+2 \ln \left(4 x^{2}-4 x \ln \left(x \right)+28 x -28 \ln \left(x \right)+1\right)+2 \,{\mathrm e}^{x}$&$32$\\ risch&$2 \ln \left(x^{2}+7 x \right)+2 \,{\mathrm e}^{x}+2 \ln \left(\ln \left(x \right)-\frac{4 x^{2}+28 x +1}{4 \left(x +7\right)}\right)$&$39$\\ \hline \end{longtable}"," ",0,"2*ln(x)+2*ln(4*x^2-4*x*ln(x)+28*x-28*ln(x)+1)+2*exp(x)","A"
8940,1,36,28,1.625000," ","int(((-72*x^2+576*x+96)*exp(-3*exp(5)+3*x)^2+(-216*x^2+1728*x+576)*exp(-3*exp(5)+3*x)-2*x^2+32*x+864)/(36*x^2*exp(-3*exp(5)+3*x)^4+432*x^2*exp(-3*exp(5)+3*x)^3+(12*x^3+1944*x^2)*exp(-3*exp(5)+3*x)^2+(72*x^3+3888*x^2)*exp(-3*exp(5)+3*x)+x^4+108*x^3+2916*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x -16}{x \left(6 \,{\mathrm e}^{-6 \,{\mathrm e}^{5}+6 x}+36 \,{\mathrm e}^{-3 \,{\mathrm e}^{5}+3 x}+x +54\right)}$&$36$\\ norman&$\frac{2 x -16}{x \left(6 \,{\mathrm e}^{-6 \,{\mathrm e}^{5}+6 x}+36 \,{\mathrm e}^{-3 \,{\mathrm e}^{5}+3 x}+x +54\right)}$&$39$\\ \hline \end{longtable}"," ",0,"2*(-8+x)/x/(6*exp(-6*exp(5)+6*x)+36*exp(-3*exp(5)+3*x)+x+54)","A"
8941,1,8,9,0.023000," ","int(9/2*exp(2)*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{9 x^{2} {\mathrm e}^{2}}{4}$&$8$\\ default&$\frac{9 x^{2} {\mathrm e}^{2}}{4}$&$8$\\ norman&$\frac{9 x^{2} {\mathrm e}^{2}}{4}$&$8$\\ risch&$\frac{9 x^{2} {\mathrm e}^{2}}{4}$&$8$\\ \hline \end{longtable}"," ",0,"9/4*x^2*exp(2)","A"
8942,1,20,20,0.080000," ","int(((-9*x^2-225*x+225)*exp(x)+9*exp(5)+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{9 \,{\mathrm e}^{5}}{x}-\frac{9 \left(x +25\right) {\mathrm e}^{x}}{x}$&$20$\\ default&$x -\frac{9 \,{\mathrm e}^{5}}{x}-\frac{225 \,{\mathrm e}^{x}}{x}-9 \,{\mathrm e}^{x}$&$21$\\ norman&$\frac{x^{2}-9 \,{\mathrm e}^{x} x -9 \,{\mathrm e}^{5}-225 \,{\mathrm e}^{x}}{x}$&$22$\\ \hline \end{longtable}"," ",0,"x-9*exp(5)/x-9*(x+25)/x*exp(x)","A"
8943,1,14,14,0.062000," ","int(10*exp(2+x)*exp(-10*exp(2+x))+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -{\mathrm e}^{-10 \,{\mathrm e}^{2+x}}$&$14$\\ norman&$2 x -{\mathrm e}^{-10 \,{\mathrm e}^{2+x}}$&$14$\\ risch&$2 x -{\mathrm e}^{-10 \,{\mathrm e}^{2+x}}$&$14$\\ derivativedivides&$2 \ln \left(-10 \,{\mathrm e}^{2+x}\right)-{\mathrm e}^{-10 \,{\mathrm e}^{2+x}}$&$20$\\ \hline \end{longtable}"," ",0,"2*x-exp(-10*exp(2+x))","A"
8944,1,15,16,0.044000," ","int((-x^2*exp(1)*exp(x)-5*exp(1)+x^2)/x^2/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-1} x +\frac{5}{x}-{\mathrm e}^{x}$&$15$\\ norman&$\frac{5+x^{2} {\mathrm e}^{-1}-{\mathrm e}^{x} x}{x}$&$20$\\ default&${\mathrm e}^{-1} \left(x +\frac{5 \,{\mathrm e}}{x}-{\mathrm e} \,{\mathrm e}^{x}\right)$&$21$\\ \hline \end{longtable}"," ",0,"exp(-1)*x+5/x-exp(x)","A"
8945,1,35,27,0.214000," ","int((((-x^3+x^2-3*x)*exp(x)-4*x^5-8*x^4-36*x^3-32*x^2-64*x)*exp((exp(x)+4*x^3+24*x^2+36*x+80)/(4*x^2+4*x+16))+4*x^4+8*x^3+36*x^2+32*x+64)/(x^4+2*x^3+9*x^2+8*x+16)/exp(exp((exp(x)+4*x^3+24*x^2+36*x+80)/(4*x^2+4*x+16))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \,{\mathrm e}^{-{\mathrm e}^{\frac{{\mathrm e}^{x}+4 x^{3}+24 x^{2}+36 x +80}{4 x^{2}+4 x +16}}}$&$35$\\ \hline \end{longtable}"," ",0,"4*x*exp(-exp(1/4*(exp(x)+4*x^3+24*x^2+36*x+80)/(x^2+x+4)))","A"
8946,1,16,22,0.061000," ","int(((x^3+5*x)*exp(9)+4*x^4-40*x^2+100)/(4*x^5-40*x^3+100*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-\frac{x \,{\mathrm e}^{9}}{4 \left(x^{2}-5\right)}$&$16$\\ norman&$\ln \left(x \right)-\frac{x \,{\mathrm e}^{9}}{4 \left(x^{2}-5\right)}$&$16$\\ risch&$\ln \left(x \right)-\frac{x \,{\mathrm e}^{9}}{4 \left(x^{2}-5\right)}$&$16$\\ \hline \end{longtable}"," ",0,"ln(x)-1/4*x*exp(9)/(x^2-5)","A"
8947,1,200,27,0.135000," ","int(((2*x^4-12*x^3+34*x^2-50*x+40)*ln(x^5-6*x^4+17*x^3-25*x^2+20*x)-10*x^4+48*x^3-102*x^2+100*x-40)*exp(3+ln(x))^2/(x^5-6*x^4+17*x^3-25*x^2+20*x)/ln(x^5-6*x^4+17*x^3-25*x^2+20*x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \,{\mathrm e}^{6} x^{2}}{\left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x^{4}-6 x^{3}+17 x^{2}-25 x +20\right)\right) \mathrm{csgn}\left(i x \left(x^{4}-6 x^{3}+17 x^{2}-25 x +20\right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x^{4}-6 x^{3}+17 x^{2}-25 x +20\right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x^{4}-6 x^{3}+17 x^{2}-25 x +20\right)\right) \mathrm{csgn}\left(i x \left(x^{4}-6 x^{3}+17 x^{2}-25 x +20\right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \left(x^{4}-6 x^{3}+17 x^{2}-25 x +20\right)\right)^{3}+2 i \ln \left(x \right)+2 i \ln \left(x^{4}-6 x^{3}+17 x^{2}-25 x +20\right)\right)^{2}}$&$200$\\ \hline \end{longtable}"," ",0,"-4*exp(6)*x^2/(Pi*csgn(I*x)*csgn(I*(x^4-6*x^3+17*x^2-25*x+20))*csgn(I*x*(x^4-6*x^3+17*x^2-25*x+20))-Pi*csgn(I*x)*csgn(I*x*(x^4-6*x^3+17*x^2-25*x+20))^2-Pi*csgn(I*(x^4-6*x^3+17*x^2-25*x+20))*csgn(I*x*(x^4-6*x^3+17*x^2-25*x+20))^2+Pi*csgn(I*x*(x^4-6*x^3+17*x^2-25*x+20))^3+2*I*ln(x)+2*I*ln(x^4-6*x^3+17*x^2-25*x+20))^2","C"
8948,1,25,25,0.155000," ","int(((-x^2-x)*exp(x)*ln(x/exp(x))-4*ln(x^2)+(x^2-x)*exp(x)-2*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x -{\mathrm e}^{x} \ln \left(x \,{\mathrm e}^{-x}\right) x -\ln \left(x^{2}\right)^{2}$&$25$\\ risch&${\mathrm e}^{x} x \ln \left({\mathrm e}^{x}\right)-4 \ln \left(x \right)^{2}-x \,{\mathrm e}^{x} \ln \left(x \right)-2 x +2 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-4 i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+2 i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\frac{i {\mathrm e}^{x} \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}}{2}+\frac{i {\mathrm e}^{x} \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)}{2}+\frac{i {\mathrm e}^{x} \pi  x \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}}{2}-\frac{i {\mathrm e}^{x} \pi  x \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)}{2}$&$176$\\ \hline \end{longtable}"," ",0,"-2*x-exp(x)*ln(x/exp(x))*x-ln(x^2)^2","A"
8949,1,22,33,0.063000," ","int(((-8*x^5+64*x^4-128*x^3)*exp(ln(1/4*x^2+1)+1)+4*x^6-32*x^5+13*x^4-104*x^3-60*x^2+96*x-192)/(4*x^6-32*x^5+80*x^4-128*x^3+256*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{3}{4 x}+\frac{16}{x -4}-\frac{x^{2} {\mathrm e}}{4}$&$22$\\ risch&$-\frac{x^{2} {\mathrm e}}{4}+x +\frac{\frac{67 x}{4}-3}{\left(x -4\right) x}$&$24$\\ norman&$\frac{-3+\left(1+{\mathrm e}\right) x^{3}+\frac{3 x}{4}-\frac{x^{4} {\mathrm e}}{4}}{\left(x -4\right) x}$&$30$\\ \hline \end{longtable}"," ",0,"x+3/4/x+16/(x-4)-1/4*x^2*exp(1)","A"
8950,1,12,14,0.090000," ","int((3*exp(x)*x-12*x*ln(3)+1)*exp(3*exp(x)-12*x*ln(3))*exp(x*exp(3*exp(x)-12*x*ln(3))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x \,{\mathrm e}^{3 \,{\mathrm e}^{x}} \left(\frac{1}{531441}\right)^{x}}$&$12$\\ norman&${\mathrm e}^{x \,{\mathrm e}^{3 \,{\mathrm e}^{x}-12 x \ln \left(3\right)}}$&$15$\\ \hline \end{longtable}"," ",0,"exp(x*exp(3*exp(x))*(1/531441)^x)","A"
8951,1,18,21,0.043000," ","int((425*ln(x^2)^3-31875*ln(x^2)^2+(20*x^4+796875)*ln(x^2)-516*x^4-6640625)/(25*ln(x^2)^3-1875*ln(x^2)^2+46875*ln(x^2)-390625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$17 x +\frac{4 x^{5}}{25 \left(\ln \left(x^{2}\right)-25\right)^{2}}$&$18$\\ norman&$\frac{10625 x +\frac{4 x^{5}}{25}-850 x \ln \left(x^{2}\right)+17 x \ln \left(x^{2}\right)^{2}}{\left(\ln \left(x^{2}\right)-25\right)^{2}}$&$35$\\ \hline \end{longtable}"," ",0,"17*x+4/25*x^5/(ln(x^2)-25)^2","A"
8952,1,27,18,0.073000," ","int((2*x^3*exp(x^2)+(-x^2+25*x-25)*exp(3)*exp(x))*exp((exp(x^2)*x+(-x+25)*exp(3)*exp(x))/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-{\mathrm e}^{x^{2}} x +{\mathrm e}^{3+x} x -25 \,{\mathrm e}^{3+x}}{x}}$&$27$\\ \hline \end{longtable}"," ",0,"exp(-(-exp(x^2)*x+exp(3+x)*x-25*exp(3+x))/x)","A"
8953,1,10,9,0.083000," ","int(exp(x)/(exp(x)-135*exp(5)-1080),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left({\mathrm e}^{x}-135 \,{\mathrm e}^{5}-1080\right)$&$10$\\ default&$\ln \left({\mathrm e}^{x}-135 \,{\mathrm e}^{5}-1080\right)$&$10$\\ risch&$\ln \left({\mathrm e}^{x}-135 \,{\mathrm e}^{5}-1080\right)$&$10$\\ norman&$\ln \left(-{\mathrm e}^{x}+135 \,{\mathrm e}^{5}+1080\right)$&$12$\\ \hline \end{longtable}"," ",0,"ln(exp(x)-135*exp(5)-1080)","A"
8954,1,261,24,0.205000," ","int((((2*x-6)*exp(1/2*x^3+1/2*x)+2*ln(x))*ln(x/((x-3)*exp(1/2*x^3+1/2*x)+ln(x)))+((-3*x+9)*x^3-x^2+3*x-6)*exp(1/2*x^3+1/2*x)+2*ln(x)-2)/((2*x-6)*exp(1/2*x^3+1/2*x)+2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left({\mathrm e}^{\frac{x \left(x^{2}+1\right)}{2}} x +\ln \left(x \right)-3 \,{\mathrm e}^{\frac{x \left(x^{2}+1\right)}{2}}\right)+x \ln \left(x \right)-\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{\frac{x \left(x^{2}+1\right)}{2}} x +\ln \left(x \right)-3 \,{\mathrm e}^{\frac{x \left(x^{2}+1\right)}{2}}}\right) \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{\frac{x \left(x^{2}+1\right)}{2}} x +\ln \left(x \right)-3 \,{\mathrm e}^{\frac{x \left(x^{2}+1\right)}{2}}}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{\frac{x \left(x^{2}+1\right)}{2}} x +\ln \left(x \right)-3 \,{\mathrm e}^{\frac{x \left(x^{2}+1\right)}{2}}}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{\frac{x \left(x^{2}+1\right)}{2}} x +\ln \left(x \right)-3 \,{\mathrm e}^{\frac{x \left(x^{2}+1\right)}{2}}}\right) \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{\frac{x \left(x^{2}+1\right)}{2}} x +\ln \left(x \right)-3 \,{\mathrm e}^{\frac{x \left(x^{2}+1\right)}{2}}}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i x}{{\mathrm e}^{\frac{x \left(x^{2}+1\right)}{2}} x +\ln \left(x \right)-3 \,{\mathrm e}^{\frac{x \left(x^{2}+1\right)}{2}}}\right)^{3}}{2}$&$261$\\ \hline \end{longtable}"," ",0,"-x*ln(exp(1/2*x*(x^2+1))*x+ln(x)-3*exp(1/2*x*(x^2+1)))+x*ln(x)-1/2*I*Pi*x*csgn(I*x)*csgn(I/(exp(1/2*x*(x^2+1))*x+ln(x)-3*exp(1/2*x*(x^2+1))))*csgn(I*x/(exp(1/2*x*(x^2+1))*x+ln(x)-3*exp(1/2*x*(x^2+1))))+1/2*I*Pi*x*csgn(I*x)*csgn(I*x/(exp(1/2*x*(x^2+1))*x+ln(x)-3*exp(1/2*x*(x^2+1))))^2+1/2*I*Pi*x*csgn(I/(exp(1/2*x*(x^2+1))*x+ln(x)-3*exp(1/2*x*(x^2+1))))*csgn(I*x/(exp(1/2*x*(x^2+1))*x+ln(x)-3*exp(1/2*x*(x^2+1))))^2-1/2*I*Pi*x*csgn(I*x/(exp(1/2*x*(x^2+1))*x+ln(x)-3*exp(1/2*x*(x^2+1))))^3","C"
8955,1,28,21,0.146000," ","int((((2*x-16)*ln(x)*ln(5*x)+(2*x-8)*ln(x))*ln(ln(x))+(2*x-8)*ln(5*x))/x^3/ln(x)/ln(5*x)^2/ln(ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 i \left(x -4\right)}{x^{2} \left(2 i \ln \left(5\right)+2 i \ln \left(x \right)\right) \ln \left(\ln \left(x \right)\right)}$&$28$\\ \hline \end{longtable}"," ",0,"-4*I/x^2*(x-4)/(2*I*ln(5)+2*I*ln(x))/ln(ln(x))","C"
8956,1,20,25,0.198000," ","int((4*exp(x)^2+(8*exp(5)+x^3-2*x^2+72*x-40)*exp(x)+4*exp(5)^2+(-2*x^2+72*x-40)*exp(5)-9*x^3+334*x^2-360*x+100)/(4*x*exp(x)^2+(8*x*exp(5)+72*x^2-40*x)*exp(x)+4*x*exp(5)^2+(72*x^2-40*x)*exp(5)+324*x^3-360*x^2+100*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x^{2}}{4 \left(9 x -5+{\mathrm e}^{5}+{\mathrm e}^{x}\right)}+\ln \left(x \right)$&$20$\\ risch&$-\frac{x^{2}}{4 \left(9 x -5+{\mathrm e}^{5}+{\mathrm e}^{x}\right)}+\ln \left(x \right)$&$20$\\ \hline \end{longtable}"," ",0,"-1/4*x^2/(9*x-5+exp(5)+exp(x))+ln(x)","A"
8957,1,27,26,0.270000," ","int((((5*x^3-7*x)*ln(5/x)+5*x^3-7*x)*ln(ln(5/x)+1)^2+(((-5*x^2+7)*ln(-x^2+7/5)+10*x^2)*ln(5/x)+(-5*x^2+7)*ln(-x^2+7/5)+10*x^2)*ln(ln(5/x)+1)+(5*x^2-7)*ln(-x^2+7/5))/((5*x^4-7*x^2)*ln(5/x)+5*x^4-7*x^2)/ln(ln(5/x)+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\frac{\ln \left(-x^{2}+\frac{7}{5}\right)}{x \ln \left(\ln \left(5\right)-\ln \left(x \right)+1\right)}$&$27$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(-x^2+7/5)/x/ln(ln(5)-ln(x)+1)","A"
8958,1,21,26,0.152000," ","int(1/3*((9*x^4+3)*exp(-exp(5)+x)+(x^3-x^2)*exp(3))/x^2/exp(-exp(5)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}-\frac{1}{x}-\frac{x \,{\mathrm e}^{3+{\mathrm e}^{5}-x}}{3}$&$21$\\ norman&$\frac{\left({\mathrm e}^{-{\mathrm e}^{5}+x} x^{4}-\frac{x^{2} {\mathrm e}^{3}}{3}-{\mathrm e}^{-{\mathrm e}^{5}+x}\right) {\mathrm e}^{{\mathrm e}^{5}-x}}{x}$&$42$\\ derivativedivides&$\frac{{\mathrm e}^{3} \left({\mathrm e}^{{\mathrm e}^{5}-x} \left(3 \,{\mathrm e}^{5}-x -1\right)+\frac{{\mathrm e}^{{\mathrm e}^{5}-x} {\mathrm e}^{15}}{x}-\left({\mathrm e}^{15}+3 \,{\mathrm e}^{10}\right) {\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, x\right)\right)}{3}+\frac{{\mathrm e}^{15} {\mathrm e}^{3} \left(-\frac{{\mathrm e}^{{\mathrm e}^{5}-x}}{x}+{\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, x\right)\right)}{3}-\frac{1}{x}+\left(-{\mathrm e}^{5}+x \right)^{3}+3 \,{\mathrm e}^{5} \left(-{\mathrm e}^{5}+x \right)^{2}+3 \,{\mathrm e}^{10} \left(-{\mathrm e}^{5}+x \right)-36 \,{\mathrm e}^{15} \ln \left(x \right)-\frac{36 \,{\mathrm e}^{15} {\mathrm e}^{5}}{x}-\frac{18 \,{\mathrm e}^{20}}{x}+36 \,{\mathrm e}^{5} {\mathrm e}^{10} \ln \left(x \right)+\frac{54 \left({\mathrm e}^{10}\right)^{2}}{x}-\frac{{\mathrm e}^{3} \left(-{\mathrm e}^{{\mathrm e}^{5}-x}-\frac{{\mathrm e}^{{\mathrm e}^{5}-x} {\mathrm e}^{10}}{x}-\left(-{\mathrm e}^{10}-2 \,{\mathrm e}^{5}\right) {\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, x\right)\right)}{3}-\frac{{\mathrm e}^{10} {\mathrm e}^{3} \left(-\frac{{\mathrm e}^{{\mathrm e}^{5}-x}}{x}+{\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, x\right)\right)}{3}-\frac{2 \,{\mathrm e}^{3} {\mathrm e}^{5} \left(\frac{{\mathrm e}^{{\mathrm e}^{5}-x} {\mathrm e}^{5}}{x}-\left({\mathrm e}^{5}+1\right) {\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, x\right)\right)}{3}+{\mathrm e}^{3} {\mathrm e}^{5} \left(-{\mathrm e}^{{\mathrm e}^{5}-x}-\frac{{\mathrm e}^{{\mathrm e}^{5}-x} {\mathrm e}^{10}}{x}-\left(-{\mathrm e}^{10}-2 \,{\mathrm e}^{5}\right) {\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, x\right)\right)+{\mathrm e}^{10} {\mathrm e}^{3} \left(\frac{{\mathrm e}^{{\mathrm e}^{5}-x} {\mathrm e}^{5}}{x}-\left({\mathrm e}^{5}+1\right) {\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, x\right)\right)$&$365$\\ default&$\frac{{\mathrm e}^{3} \left({\mathrm e}^{{\mathrm e}^{5}-x} \left(3 \,{\mathrm e}^{5}-x -1\right)+\frac{{\mathrm e}^{{\mathrm e}^{5}-x} {\mathrm e}^{15}}{x}-\left({\mathrm e}^{15}+3 \,{\mathrm e}^{10}\right) {\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, x\right)\right)}{3}+\frac{{\mathrm e}^{15} {\mathrm e}^{3} \left(-\frac{{\mathrm e}^{{\mathrm e}^{5}-x}}{x}+{\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, x\right)\right)}{3}-\frac{1}{x}+\left(-{\mathrm e}^{5}+x \right)^{3}+3 \,{\mathrm e}^{5} \left(-{\mathrm e}^{5}+x \right)^{2}+3 \,{\mathrm e}^{10} \left(-{\mathrm e}^{5}+x \right)-36 \,{\mathrm e}^{15} \ln \left(x \right)-\frac{36 \,{\mathrm e}^{15} {\mathrm e}^{5}}{x}-\frac{18 \,{\mathrm e}^{20}}{x}+36 \,{\mathrm e}^{5} {\mathrm e}^{10} \ln \left(x \right)+\frac{54 \left({\mathrm e}^{10}\right)^{2}}{x}-\frac{{\mathrm e}^{3} \left(-{\mathrm e}^{{\mathrm e}^{5}-x}-\frac{{\mathrm e}^{{\mathrm e}^{5}-x} {\mathrm e}^{10}}{x}-\left(-{\mathrm e}^{10}-2 \,{\mathrm e}^{5}\right) {\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, x\right)\right)}{3}-\frac{{\mathrm e}^{10} {\mathrm e}^{3} \left(-\frac{{\mathrm e}^{{\mathrm e}^{5}-x}}{x}+{\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, x\right)\right)}{3}-\frac{2 \,{\mathrm e}^{3} {\mathrm e}^{5} \left(\frac{{\mathrm e}^{{\mathrm e}^{5}-x} {\mathrm e}^{5}}{x}-\left({\mathrm e}^{5}+1\right) {\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, x\right)\right)}{3}+{\mathrm e}^{3} {\mathrm e}^{5} \left(-{\mathrm e}^{{\mathrm e}^{5}-x}-\frac{{\mathrm e}^{{\mathrm e}^{5}-x} {\mathrm e}^{10}}{x}-\left(-{\mathrm e}^{10}-2 \,{\mathrm e}^{5}\right) {\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, x\right)\right)+{\mathrm e}^{10} {\mathrm e}^{3} \left(\frac{{\mathrm e}^{{\mathrm e}^{5}-x} {\mathrm e}^{5}}{x}-\left({\mathrm e}^{5}+1\right) {\mathrm e}^{{\mathrm e}^{5}} \expIntegralEi \left(1, x\right)\right)$&$365$\\ \hline \end{longtable}"," ",0,"x^3-1/x-1/3*x*exp(3+exp(5)-x)","A"
8959,1,34,22,0.030000," ","int(((12*x-10)*exp(5)^2+(-200*x+20)*exp(5)+1000*x+800)/exp(5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$6 x^{2}-10 x -100 x^{2} {\mathrm e}^{-5}+20 x \,{\mathrm e}^{-5}+500 x^{2} {\mathrm e}^{-10}+800 \,{\mathrm e}^{-10} x$&$34$\\ gosper&$2 x \left(3 x \,{\mathrm e}^{10}-5 \,{\mathrm e}^{10}-50 x \,{\mathrm e}^{5}+10 \,{\mathrm e}^{5}+250 x +400\right) {\mathrm e}^{-10}$&$35$\\ default&${\mathrm e}^{-10} \left({\mathrm e}^{10} \left(6 x^{2}-10 x \right)+{\mathrm e}^{5} \left(-100 x^{2}+20 x \right)+500 x^{2}+800 x \right)$&$41$\\ norman&$\left(-10 \left({\mathrm e}^{10}-2 \,{\mathrm e}^{5}-80\right) {\mathrm e}^{-5} x +2 \left(3 \,{\mathrm e}^{10}-50 \,{\mathrm e}^{5}+250\right) {\mathrm e}^{-5} x^{2}\right) {\mathrm e}^{-5}$&$45$\\ \hline \end{longtable}"," ",0,"6*x^2-10*x-100*x^2*exp(-5)+20*x*exp(-5)+500*x^2*exp(-10)+800*exp(-10)*x","A"
8960,1,45,21,0.454000," ","int(((((-3*x^4-15*x^2)*ln(5)-12*x^4-60*x^2)*exp(1/4*x^3*ln(5)+x^3)+8*x)*ln(x^2+5)+((3*x^4+15*x^2)*ln(5)+12*x^4+60*x^2)*exp(1/4*x^3*ln(5)+x^3)^2-8*x*exp(1/4*x^3*ln(5)+x^3))/(2*x^2+10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5^{\frac{x^{3}}{2}} {\mathrm e}^{2 x^{3}}-2 \,5^{\frac{x^{3}}{4}} {\mathrm e}^{x^{3}} \ln \left(x^{2}+5\right)+\ln \left(x^{2}+5\right)^{2}$&$45$\\ default&$-2 \,{\mathrm e}^{\frac{x^{3} \ln \left(5\right)}{4}+x^{3}} \ln \left(x^{2}+5\right)+\ln \left(x^{2}+5\right)^{2}+\frac{4 \,{\mathrm e}^{\frac{x^{3} \ln \left(5\right)}{2}+2 x^{3}}}{\ln \left(5\right)+4}+\frac{\ln \left(5\right) {\mathrm e}^{\frac{x^{3} \ln \left(5\right)}{2}+2 x^{3}}}{\ln \left(5\right)+4}$&$75$\\ \hline \end{longtable}"," ",0,"(5^(1/4*x^3))^2*exp(2*x^3)-2*5^(1/4*x^3)*exp(x^3)*ln(x^2+5)+ln(x^2+5)^2","B"
8961,1,31,24,0.036000," ","int(((36*x^4-54*x^3+18*x^2-9*x+9)*exp(x)-36*x^5+90*x^4-72*x^3+18*x^2+9)/(exp(x)*x-x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$9 x^{4}-18 x^{3}+9 x^{2}+9 \ln \left(x \right)-9 \ln \left(x -{\mathrm e}^{x}-1\right)$&$31$\\ risch&$9 x^{4}-18 x^{3}+9 x^{2}+9 \ln \left(x \right)-9 \ln \left(1+{\mathrm e}^{x}-x \right)$&$31$\\ \hline \end{longtable}"," ",0,"9*x^4-18*x^3+9*x^2+9*ln(x)-9*ln(x-exp(x)-1)","A"
8962,1,9,10,0.028000," ","int(1024*exp(x)^4/exp(1)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$256 \,{\mathrm e}^{4 x -4}$&$9$\\ gosper&$256 \,{\mathrm e}^{4 x} {\mathrm e}^{-4}$&$11$\\ derivativedivides&$256 \,{\mathrm e}^{4 x} {\mathrm e}^{-4}$&$11$\\ default&$256 \,{\mathrm e}^{4 x} {\mathrm e}^{-4}$&$11$\\ norman&$256 \,{\mathrm e}^{4 x} {\mathrm e}^{-4}$&$11$\\ meijerg&$-256 \,{\mathrm e}^{-4} \left(1-{\mathrm e}^{4 x}\right)$&$13$\\ \hline \end{longtable}"," ",0,"256*exp(4*x-4)","A"
8963,1,53,24,0.055000," ","int((2*x^2*ln(4*x)^4+(4*x^5+45*x^4+192*x^3+378*x^2+324*x+81)*ln(4*x)^2+(2*x^4+24*x^3+108*x^2+216*x+162)*ln(4*x)+2*x^8+48*x^7+504*x^6+3024*x^5+11340*x^4+27216*x^3+40824*x^2+34992*x+13122)/(x^2*ln(4*x)^4+(2*x^5+24*x^4+108*x^3+216*x^2+162*x)*ln(4*x)^2+x^8+24*x^7+252*x^6+1512*x^5+5670*x^4+13608*x^3+20412*x^2+17496*x+6561),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\frac{x^{4}+12 x^{3}+54 x^{2}+108 x +81}{x^{4}+x \ln \left(4 x \right)^{2}+12 x^{3}+54 x^{2}+108 x +81}$&$53$\\ \hline \end{longtable}"," ",0,"2*x-(x^4+12*x^3+54*x^2+108*x+81)/(x^4+x*ln(4*x)^2+12*x^3+54*x^2+108*x+81)","B"
8964,1,9,8,0.017000," ","int(1/(exp(64)+7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{{\mathrm e}^{64}+7}$&$9$\\ norman&$\frac{x}{{\mathrm e}^{64}+7}$&$9$\\ risch&$\frac{x}{{\mathrm e}^{64}+7}$&$9$\\ \hline \end{longtable}"," ",0,"x/(exp(64)+7)","A"
8965,1,36,36,1.112000," ","int(((-x-2)*exp(1)*ln(2/x)^2+(-4*exp(x)*x+(-2*x^2-4*x)*exp(1))*ln(2/x)+(-8*x^2+4*x)*exp(x)+(-x^3-2*x^2)*exp(1))/(5*x^3*exp(1)*exp(x)*ln(2/x)^2+10*x^4*exp(1)*exp(x)*ln(2/x)+5*x^5*exp(1)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-x}}{5 x^{2}}+\frac{8 i {\mathrm e}^{-1}}{5 x \left(2 i \ln \left(2\right)+2 i x -2 i \ln \left(x \right)\right)}$&$36$\\ \hline \end{longtable}"," ",0,"1/5*exp(-x)/x^2+8/5*I/x*exp(-1)/(2*I*ln(2)+2*I*x-2*I*ln(x))","C"
8966,1,27,28,0.092000," ","int((5*x^2*ln(x)^2+(-10*x^2*exp(9*x+4)-6*exp(2/5/x)-10*x^3)*ln(x)+5*x^2*exp(9*x+4)^2+((135*x^2+6)*exp(2/5/x)+10*x^3)*exp(9*x+4)+(15*x^2-9*x)*exp(2/5/x)+5*x^4)/(60*x^2*ln(x)^2+(-120*x^2*exp(9*x+4)-120*x^3)*ln(x)+60*x^2*exp(9*x+4)^2+120*x^3*exp(9*x+4)+60*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{12}-\frac{{\mathrm e}^{\frac{2}{5 x}}}{4 \left(x +{\mathrm e}^{9 x +4}-\ln \left(x \right)\right)}$&$27$\\ \hline \end{longtable}"," ",0,"1/12*x-1/4*exp(2/5/x)/(x+exp(9*x+4)-ln(x))","A"
8967,1,21,22,0.469000," ","int((((-5*x^2-10*x)*ln(2+x)-15*x^2-20*x)*exp(x*ln(2+x)+2*x)-50*x^2-55*x+90)/(9*x+18)/exp(1/9*exp(x*ln(2+x)+2*x)+10/9*x+1/9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x \,{\mathrm e}^{-\frac{\left(2+x \right)^{x} {\mathrm e}^{2 x}}{9}-\frac{10 x}{9}-\frac{1}{9}}$&$21$\\ \hline \end{longtable}"," ",0,"5*x*exp(-1/9*(2+x)^x*exp(2*x)-10/9*x-1/9)","A"
8968,1,26,25,0.143000," ","int(1/3*(3*exp(1/3*(exp(-x*exp(3)+4)+x)*exp(exp(5)))+((x-3)*exp(3)*exp(-x*exp(3)+4)+3-x)*exp(exp(5))+3)/exp(1/3*(exp(-x*exp(3)+4)+x)*exp(exp(5))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(3 x -9\right) {\mathrm e}^{-\frac{\left({\mathrm e}^{-x \,{\mathrm e}^{3}+4}+x \right) {\mathrm e}^{{\mathrm e}^{5}}}{3}}}{3}$&$26$\\ norman&$\left(-3+x +x \,{\mathrm e}^{\frac{\left({\mathrm e}^{-x \,{\mathrm e}^{3}+4}+x \right) {\mathrm e}^{{\mathrm e}^{5}}}{3}}\right) {\mathrm e}^{-\frac{\left({\mathrm e}^{-x \,{\mathrm e}^{3}+4}+x \right) {\mathrm e}^{{\mathrm e}^{5}}}{3}}$&$41$\\ \hline \end{longtable}"," ",0,"x+1/3*(3*x-9)*exp(-1/3*(exp(-x*exp(3)+4)+x)*exp(exp(5)))","A"
8969,1,25,26,0.102000," ","int(1/2*(-2*x*ln(x)+(4*x^2+6*x)*exp(2*x)-1)*exp((-2*x-2)*ln(x)+(2*x+2)*exp(2*x)+2*x+2)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,x^{-2 x -2} {\mathrm e}^{2 \left(x +1\right) \left({\mathrm e}^{2 x}+1\right)}}{2}+x$&$25$\\ \hline \end{longtable}"," ",0,"1/2*x*x^(-2*x-2)*exp(2*(x+1)*(exp(2*x)+1))+x","A"
8970,1,128,27,0.176000," ","int(((64*exp(x^2)-64)*ln(exp(x^2)*x-x)+(-64*exp(1)+128*x^2-32*x+48)*exp(x^2)+64*exp(1)+32*x-48)/((16*x^2*exp(x^2)-16*x^2)*ln(exp(x^2)*x-x)^2+((-32*x^2*exp(1)-8*x^3-8*x^2)*exp(x^2)+32*x^2*exp(1)+8*x^3+8*x^2)*ln(exp(x^2)*x-x)+(16*x^2*exp(1)^2+(8*x^3+8*x^2)*exp(1)+x^4+2*x^3+x^2)*exp(x^2)-16*x^2*exp(1)^2+(-8*x^3-8*x^2)*exp(1)-x^4-2*x^3-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{16 i}{x \left(2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left({\mathrm e}^{x^{2}}-1\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{2}}-1\right)\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{2}}-1\right)\right)^{2}-2 \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x^{2}}-1\right)\right) \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{2}}-1\right)\right)^{2}+2 \pi  \mathrm{csgn}\left(i x \left({\mathrm e}^{x^{2}}-1\right)\right)^{3}-4 i {\mathrm e}-i x +4 i \ln \left(x \right)+4 i \ln \left({\mathrm e}^{x^{2}}-1\right)-i\right)}$&$128$\\ \hline \end{longtable}"," ",0,"-16*I/x/(2*Pi*csgn(I*x)*csgn(I*(exp(x^2)-1))*csgn(I*x*(exp(x^2)-1))-2*Pi*csgn(I*x)*csgn(I*x*(exp(x^2)-1))^2-2*Pi*csgn(I*(exp(x^2)-1))*csgn(I*x*(exp(x^2)-1))^2+2*Pi*csgn(I*x*(exp(x^2)-1))^3-4*I*exp(1)-I*x+4*I*ln(x)+4*I*ln(exp(x^2)-1)-I)","C"
8971,1,129,33,0.539000," ","int(((((-4*x^3+2*x^2+2*x)*exp(x^2+x)+1)*exp(exp(3))^2+((-8*x^5+4*x^4+4*x^3)*exp(x^2+x)-4*x^3+6*x^2)*exp(exp(3))+(-4*x^7+2*x^6+2*x^5)*exp(x^2+x)-4*x^5+5*x^4)*exp(exp(x^2+x))^2+(((20*x^3-10*x^2-10*x)*exp(x^2+x)-10)*exp(exp(3))^2+((40*x^5-20*x^4-20*x^3)*exp(x^2+x)+40*x^3-60*x^2)*exp(exp(3))+(20*x^7-10*x^6-10*x^5)*exp(x^2+x)+40*x^5-50*x^4)*exp(exp(x^2+x))+25*exp(exp(3))^2+(-100*x^3+150*x^2)*exp(exp(3))-100*x^5+125*x^4)/(x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-25 x^{4}-50 x^{2} {\mathrm e}^{{\mathrm e}^{3}}-25 x^{3}-50 x \,{\mathrm e}^{{\mathrm e}^{3}}-25 x^{2}-25 x -\frac{25 \,{\mathrm e}^{2 \,{\mathrm e}^{3}}}{x -1}-\frac{50 \,{\mathrm e}^{{\mathrm e}^{3}}}{x -1}-\frac{25}{x -1}-\frac{x \left(x^{4}+2 x^{2} {\mathrm e}^{{\mathrm e}^{3}}+{\mathrm e}^{2 \,{\mathrm e}^{3}}\right) {\mathrm e}^{2 \,{\mathrm e}^{\left(x +1\right) x}}}{x -1}+\frac{10 x \left(x^{4}+2 x^{2} {\mathrm e}^{{\mathrm e}^{3}}+{\mathrm e}^{2 \,{\mathrm e}^{3}}\right) {\mathrm e}^{{\mathrm e}^{\left(x +1\right) x}}}{x -1}$&$129$\\ \hline \end{longtable}"," ",0,"-25*x^4-50*x^2*exp(exp(3))-25*x^3-50*x*exp(exp(3))-25*x^2-25*x-25/(x-1)*exp(2*exp(3))-50/(x-1)*exp(exp(3))-25/(x-1)-x*(x^4+2*x^2*exp(exp(3))+exp(2*exp(3)))/(x-1)*exp(2*exp((x+1)*x))+10*x*(x^4+2*x^2*exp(exp(3))+exp(2*exp(3)))/(x-1)*exp(exp((x+1)*x))","B"
8972,1,34,17,0.047000," ","int(((-600*x^2-900*x)*ln(5)^2+(-480*x^2-720*x)*ln(5)-96*x^2-144*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-900 \ln \left(5\right)^{2}-720 \ln \left(5\right)-144\right) x +\left(-300 \ln \left(5\right)^{2}-240 \ln \left(5\right)-48\right) x^{2}+\ln \left(x \right)$&$34$\\ default&$-300 x^{2} \ln \left(5\right)^{2}-900 x \ln \left(5\right)^{2}-240 x^{2} \ln \left(5\right)-720 x \ln \left(5\right)-48 x^{2}-144 x +\ln \left(x \right)$&$40$\\ risch&$-300 x^{2} \ln \left(5\right)^{2}-900 x \ln \left(5\right)^{2}-240 x^{2} \ln \left(5\right)-720 x \ln \left(5\right)-48 x^{2}-144 x +\ln \left(x \right)$&$40$\\ \hline \end{longtable}"," ",0,"(-900*ln(5)^2-720*ln(5)-144)*x+(-300*ln(5)^2-240*ln(5)-48)*x^2+ln(x)","A"
8973,1,16,15,0.038000," ","int((-196*exp(1)*exp(2)-196*exp(1))/x^2/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{196 \,{\mathrm e} \left({\mathrm e}^{2}+1\right) {\mathrm e}^{-2}}{x}$&$16$\\ norman&$\frac{196 \,{\mathrm e} \left({\mathrm e}^{2}+1\right) {\mathrm e}^{-2}}{x}$&$16$\\ risch&$\frac{196 \,{\mathrm e}^{-2} {\mathrm e}^{3}}{x}+\frac{196 \,{\mathrm e}^{-2} {\mathrm e}}{x}$&$20$\\ default&$-\frac{196 \left(-{\mathrm e} \,{\mathrm e}^{2}-{\mathrm e}\right) {\mathrm e}^{-2}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"196*exp(1)*(exp(2)+1)/exp(2)/x","A"
8974,1,13,27,0.042000," ","int(1/5*(x*exp(x-3)*ln(x)+exp(x-3)+10*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\frac{\ln \left(x \right) {\mathrm e}^{x -3}}{5}$&$13$\\ norman&$2 x +\frac{\ln \left(x \right) {\mathrm e}^{x -3}}{5}$&$13$\\ risch&$2 x +\frac{\ln \left(x \right) {\mathrm e}^{x -3}}{5}$&$13$\\ \hline \end{longtable}"," ",0,"2*x+1/5*ln(x)*exp(x-3)","A"
8975,1,72,19,0.123000," ","int(1/5*((-2*x-4)*ln(4/x^2)+4)/x^3/exp(x-4)/ln(4/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 i {\mathrm e}^{-x +4}}{5 x^{2} \left(-4 i \ln \left(x \right)-\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(2\right)\right)}$&$72$\\ \hline \end{longtable}"," ",0,"4/5*I/x^2*exp(-x+4)/(-4*I*ln(x)-Pi*csgn(I*x)^2*csgn(I*x^2)+2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x^2)^3+4*I*ln(2))","C"
8976,1,48,24,0.164000," ","int(((6*x^2+6)*exp(2)+4*x^4+12*x^2)*exp((exp(2)*ln(x)+4*exp(2)+x^2)/exp(2))/((2*x^3+6*x)*exp(2)*exp((exp(2)*ln(x)+4*exp(2)+x^2)/exp(2))+x*exp(2)*exp(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x^{3}+3 x \right)-{\mathrm e}^{2} \ln \left(x \right) {\mathrm e}^{-2}-4 \,{\mathrm e}^{2} {\mathrm e}^{-2}+\ln \left(x \,{\mathrm e}^{{\mathrm e}^{-2} x^{2}+4}+\frac{{\mathrm e}^{3}}{2 x^{2}+6}\right)$&$48$\\ norman&$\ln \left(2 \,{\mathrm e}^{\left({\mathrm e}^{2} \ln \left(x \right)+4 \,{\mathrm e}^{2}+x^{2}\right) {\mathrm e}^{-2}} x^{2}+{\mathrm e}^{3}+6 \,{\mathrm e}^{\left({\mathrm e}^{2} \ln \left(x \right)+4 \,{\mathrm e}^{2}+x^{2}\right) {\mathrm e}^{-2}}\right)$&$50$\\ \hline \end{longtable}"," ",0,"ln(x^3+3*x)-exp(2)*ln(x)*exp(-2)-4*exp(2)*exp(-2)+ln(x*exp(exp(-2)*x^2+4)+1/2*exp(3)/(x^2+3))","A"
8977,1,18,19,0.458000," ","int(((8*x^6-24*x^5-4*x^4+12*x^3)*ln(x-3)+2*x^4)/(x-3)/exp(2*x^2)^2/ln(x-3)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{4} {\mathrm e}^{-4 x^{2}}}{\ln \left(x -3\right)^{2}}$&$18$\\ \hline \end{longtable}"," ",0,"-x^4/ln(x-3)^2*exp(-4*x^2)","A"
8978,1,31,17,0.033000," ","int((15*x^2-40*x)*exp(4)^4+(-20*x+40)*exp(4)^2+5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x^{3} {\mathrm e}^{16}-20 x^{2} {\mathrm e}^{16}-10 x^{2} {\mathrm e}^{8}+40 x \,{\mathrm e}^{8}+5 x$&$31$\\ gosper&$5 x \left(x^{2} {\mathrm e}^{16}-4 x \,{\mathrm e}^{16}-2 x \,{\mathrm e}^{8}+8 \,{\mathrm e}^{8}+1\right)$&$34$\\ default&${\mathrm e}^{16} \left(5 x^{3}-20 x^{2}\right)+{\mathrm e}^{8} \left(-10 x^{2}+40 x \right)+5 x$&$35$\\ norman&$\left(40 \,{\mathrm e}^{8}+5\right) x +\left(-20 \,{\mathrm e}^{16}-10 \,{\mathrm e}^{8}\right) x^{2}+5 x^{3} {\mathrm e}^{16}$&$38$\\ \hline \end{longtable}"," ",0,"5*x^3*exp(16)-20*x^2*exp(16)-10*x^2*exp(8)+40*x*exp(8)+5*x","A"
8979,1,57,25,0.537000," ","int(((128*x*exp(4/x)-384*x)*ln(exp(4/x)-3)*ln(ln(exp(4/x)-3))*ln(5/ln(ln(exp(4/x)-3)))^2+512*exp(4/x)*ln(5/ln(ln(exp(4/x)-3)))+((192*x^2+640*x)*exp(4/x)-576*x^2-1920*x)*ln(exp(4/x)-3)*ln(ln(exp(4/x)-3)))/(exp(4/x)-3)/ln(exp(4/x)-3)/ln(ln(exp(4/x)-3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$64 x^{2} \ln \left(\ln \left(\ln \left({\mathrm e}^{\frac{4}{x}}-3\right)\right)\right)^{2}-128 \ln \left(5\right) x^{2} \ln \left(\ln \left(\ln \left({\mathrm e}^{\frac{4}{x}}-3\right)\right)\right)+64 x^{2} \ln \left(5\right)^{2}+64 x^{3}+320 x^{2}$&$57$\\ \hline \end{longtable}"," ",0,"64*x^2*ln(ln(ln(exp(4/x)-3)))^2-128*ln(5)*x^2*ln(ln(ln(exp(4/x)-3)))+64*x^2*ln(5)^2+64*x^3+320*x^2","B"
8980,1,27,26,0.118000," ","int(((20*x-20)*ln(x^2-2*x+1)-32*x^3+40*x^2+20*x-60)/((x^3-11*x^2+35*x-25)*ln(x^2-2*x+1)^2+(-16*x^4+182*x^3-626*x^2+610*x-150)*ln(x^2-2*x+1)+64*x^5-752*x^4+2777*x^3-3379*x^2+1515*x-225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x}{\left(x -5\right) \left(8 x -\ln \left(x^{2}-2 x +1\right)-3\right)}$&$27$\\ norman&$\frac{4 x}{8 x^{2}-\ln \left(x^{2}-2 x +1\right) x -43 x +5 \ln \left(x^{2}-2 x +1\right)+15}$&$39$\\ \hline \end{longtable}"," ",0,"4*x/(x-5)/(8*x-ln(x^2-2*x+1)-3)","A"
8981,1,22,25,0.037000," ","int((81*x^2-378*x+270)*exp(3*x^3-21*x^2+30*x)+10*x+250,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$250 x +9 \,{\mathrm e}^{3 x \left(x -2\right) \left(x -5\right)}+5 x^{2}$&$22$\\ default&$250 x +9 \,{\mathrm e}^{3 x^{3}-21 x^{2}+30 x}+5 x^{2}$&$27$\\ norman&$250 x +9 \,{\mathrm e}^{3 x^{3}-21 x^{2}+30 x}+5 x^{2}$&$27$\\ \hline \end{longtable}"," ",0,"250*x+9*exp(3*x*(x-2)*(x-5))+5*x^2","A"
8982,1,45,25,0.099000," ","int((-exp(ln(3)+1)^2+(4*x-2)*exp(x^2)*exp(ln(3)+1)+(4*x-1)*exp(x^2)^2-4*x*exp(x)*exp(x^2)+exp(x)^2)/exp(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x -4}+9 \,{\mathrm e}^{-x -2}+{\mathrm e}^{2 x^{2}-x -4}+2 \left(-{\mathrm e}^{x}+3 \,{\mathrm e}\right) {\mathrm e}^{x^{2}-x -4}$&$45$\\ default&${\mathrm e}^{-4} {\mathrm e}^{x}-2 \,{\mathrm e}^{-4} {\mathrm e}^{x^{2}}+9 \,{\mathrm e}^{-4} {\mathrm e}^{-x} {\mathrm e}^{2}+{\mathrm e}^{2 x^{2}-x -4}+6 \,{\mathrm e}^{x^{2}-x -3}$&$55$\\ norman&$\left({\mathrm e}^{-4} {\mathrm e}^{2 x}+{\mathrm e}^{-4} {\mathrm e}^{2 x^{2}}+9 \,{\mathrm e}^{-4} {\mathrm e}^{2}+6 \,{\mathrm e}^{-4} {\mathrm e} \,{\mathrm e}^{x^{2}}-2 \,{\mathrm e}^{x} {\mathrm e}^{-4} {\mathrm e}^{x^{2}}\right) {\mathrm e}^{-x}$&$61$\\ \hline \end{longtable}"," ",0,"exp(x-4)+9*exp(-x-2)+exp(2*x^2-x-4)+2*(-exp(x)+3*exp(1))*exp(x^2-x-4)","A"
8983,1,30,28,0.490000," ","int((((-2*x^3+2*x^2+2*x)*exp(x)*ln(-x^2+x+1)+(-2*x^4+4*x)*exp(x))*ln(x)+((-2*x^3+2*x^2+2*x)*exp(3)+2*x^4-x^3-3*x^2-x)*exp(x)*ln(-x^2+x+1)+((-2*x^4+4*x)*exp(3)+2*x^5+x^4-4*x^2-2*x)*exp(x)-2*x^3+4*x^2-2)/((2*x^3-2*x^2-2*x)*ln(x)+(2*x^3-2*x^2-2*x)*exp(3)-2*x^4+x^3+3*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x} \ln \left(-x^{2}+x +1\right)-{\mathrm e}^{x} x +\ln \left({\mathrm e}^{3}-x +\ln \left(x \right)-\frac{1}{2}\right)$&$30$\\ \hline \end{longtable}"," ",0,"-exp(x)*ln(-x^2+x+1)-exp(x)*x+ln(exp(3)-x+ln(x)-1/2)","A"
8984,1,39,25,0.071000," ","int(((3*x^5-9*x^4-12*x^3-16*x^2-9*x+3)*ln(x)+3*x^5-2*x^4+9*x^3-7*x^2-3)/(x^5-3*x^4+3*x^3-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{6 x^{3} \ln \left(x \right)+8 x \ln \left(x \right)+3 x^{4} \ln \left(x \right)+3 \ln \left(x \right)}{x \left(x -1\right)^{2}}-5 \ln \left(x \right)$&$39$\\ default&$9 \ln \left(x \right)+3 x \ln \left(x \right)-\frac{20 \ln \left(x \right) x \left(x -2\right)}{\left(x -1\right)^{2}}+\frac{3 \ln \left(x \right)}{x}+\frac{18 \ln \left(x \right) x}{x -1}$&$41$\\ risch&$\frac{\left(3 x^{4}-6 x^{3}+24 x^{2}-4 x +3\right) \ln \left(x \right)}{x \left(x^{2}-2 x +1\right)}+7 \ln \left(x \right)$&$42$\\ \hline \end{longtable}"," ",0,"(6*x^3*ln(x)+8*x*ln(x)+3*x^4*ln(x)+3*ln(x))/x/(x-1)^2-5*ln(x)","A"
8985,1,22,25,0.528000," ","int(((4*x^2+8*x-28)*exp(x)+80*ln(2)-150)/(15*x^2-30*x+15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{4 \,{\mathrm e}^{x} x}{15}+\frac{4 \,{\mathrm e}^{x}}{5}+10-\frac{16 \ln \left(2\right)}{3}}{x -1}$&$22$\\ risch&$\frac{10}{x -1}-\frac{16 \ln \left(2\right)}{3 \left(x -1\right)}+\frac{4 \left(3+x \right) {\mathrm e}^{x}}{15 \left(x -1\right)}$&$30$\\ default&$\frac{10}{x -1}+\frac{16 \,{\mathrm e}^{x}}{15 \left(x -1\right)}-\frac{16 \ln \left(2\right)}{3 \left(x -1\right)}+\frac{4 \,{\mathrm e}^{x}}{15}$&$31$\\ \hline \end{longtable}"," ",0,"(4/15*exp(x)*x+4/5*exp(x)+10-16/3*ln(2))/(x-1)","A"
8986,1,64,27,0.072000," ","int(((4*x^3+48*x^2+192*x+256)*ln(x)*ln(ln(x))^3+((12*x^2+96*x+192)*exp(x)-16*x^4-168*x^3-480*x^2+128*x+1536)*ln(x)*ln(ln(x))^2+(((12*x+48)*exp(x)^2+(8*x^4-280*x^2-416*x+768)*exp(x)+12*x^5+120*x^4+288*x^3-384*x^2-1536*x)*ln(x)+8*x^4+72*x^3+96*x^2-640*x-1536)*ln(ln(x))+(4*exp(x)^3+(8*x^3-16*x^2-112*x+96)*exp(x)^2+(-8*x^5-20*x^4+144*x^3+288*x^2-384*x)*exp(x))*ln(x)+(8*x^3+40*x^2-64*x-384)*exp(x)-8*x^5-72*x^4-96*x^3+640*x^2+1536*x)/((x^3+12*x^2+48*x+64)*ln(x)*ln(ln(x))^3+(3*x^2+24*x+48)*exp(x)*ln(x)*ln(ln(x))^2+(3*x+12)*exp(x)^2*ln(x)*ln(ln(x))+exp(x)^3*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x +\frac{4 \left(x^{3}-2 x^{2} \ln \left(\ln \left(x \right)\right)+x^{2}-2 \,{\mathrm e}^{x} x -2 x \ln \left(\ln \left(x \right)\right)-12 x +6 \,{\mathrm e}^{x}+24 \ln \left(\ln \left(x \right)\right)\right) \left(4+x \right) x}{\left(x \ln \left(\ln \left(x \right)\right)+{\mathrm e}^{x}+4 \ln \left(\ln \left(x \right)\right)\right)^{2}}$&$64$\\ \hline \end{longtable}"," ",0,"4*x+4*(x^3-2*x^2*ln(ln(x))+x^2-2*exp(x)*x-2*x*ln(ln(x))-12*x+6*exp(x)+24*ln(ln(x)))*(4+x)*x/(x*ln(ln(x))+exp(x)+4*ln(ln(x)))^2","B"
8987,1,27,31,0.169000," ","int((((-3*x+3)*ln(x)+6*x^3-8*x^2+8*x-6)*ln((-3*ln(x)+6*x^2-2*x+6)/x)-3*ln(x)-6*x^2+9)/(3*x*ln(x)-6*x^3+2*x^2-6*x)/ln((-3*ln(x)+6*x^2-2*x+6)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x +\ln \left(x \right)+\ln \left(\ln \left(\frac{-3 \ln \left(x \right)+6 x^{2}-2 x +6}{x}\right)\right)$&$27$\\ risch&$\ln \left(x \right)-x +\ln \left(\ln \left(x^{2}-\frac{x}{3}-\frac{\ln \left(x \right)}{2}+1\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-x^{2}+\frac{x}{3}+\frac{\ln \left(x \right)}{2}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(-x^{2}+\frac{x}{3}+\frac{\ln \left(x \right)}{2}-1\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-x^{2}+\frac{x}{3}+\frac{\ln \left(x \right)}{2}-1\right)}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(-x^{2}+\frac{x}{3}+\frac{\ln \left(x \right)}{2}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(-x^{2}+\frac{x}{3}+\frac{\ln \left(x \right)}{2}-1\right)}{x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(-x^{2}+\frac{x}{3}+\frac{\ln \left(x \right)}{2}-1\right)}{x}\right)^{3}+2 i \ln \left(2\right)+2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)}{2}\right)$&$191$\\ \hline \end{longtable}"," ",0,"-x+ln(x)+ln(ln((-3*ln(x)+6*x^2-2*x+6)/x))","A"
8988,1,23,20,0.049000," ","int((-x^3*exp(1)*exp(x)+x^3*ln(2)+(x^3-32)*exp(1))/x^3/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-1} x \,{\mathrm e}+{\mathrm e}^{-1} x \ln \left(2\right)+\frac{16}{x^{2}}-{\mathrm e}^{x}$&$23$\\ norman&$\frac{16+\left({\mathrm e}+\ln \left(2\right)\right) {\mathrm e}^{-1} x^{3}-{\mathrm e}^{x} x^{2}}{x^{2}}$&$27$\\ default&${\mathrm e}^{-1} \left(\frac{16 \,{\mathrm e}}{x^{2}}-{\mathrm e} \,{\mathrm e}^{x}+x \,{\mathrm e}+x \ln \left(2\right)\right)$&$28$\\ \hline \end{longtable}"," ",0,"exp(-1)*x*exp(1)+exp(-1)*x*ln(2)+16/x^2-exp(x)","A"
8989,1,18,21,0.111000," ","int(((21*x-44)*exp(2+x)-5*x+220)/(4*x*exp(2+x)-20*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{4}-11 \ln \left(x \right)+5 \ln \left({\mathrm e}^{2+x}-5\right)$&$18$\\ risch&$\frac{x}{4}-11 \ln \left(x \right)-10+5 \ln \left({\mathrm e}^{2+x}-5\right)$&$19$\\ \hline \end{longtable}"," ",0,"1/4*x-11*ln(x)+5*ln(exp(2+x)-5)","A"
8990,1,36,29,0.370000," ","int((((-x^5-8*x^3-16*x)*exp(x)+(x^3-4*x)*ln(2))*ln(1/4*x)+(-x^5-8*x^3-16*x)*exp(5)*exp(x)+(x^3-4*x)*exp(5)*ln(2)+x^4+8*x^2+16)/((16*x^5+128*x^3+256*x)*ln(1/4*x)+(16*x^5+128*x^3+256*x)*exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{x} x^{2}+x \ln \left(2\right)+4 \,{\mathrm e}^{x}}{16 \left(x^{2}+4\right)}+\frac{\ln \left({\mathrm e}^{5}+\ln \left(\frac{x}{4}\right)\right)}{16}$&$36$\\ \hline \end{longtable}"," ",0,"-1/16*(exp(x)*x^2+x*ln(2)+4*exp(x))/(x^2+4)+1/16*ln(exp(5)+ln(1/4*x))","A"
8991,1,18,21,0.050000," ","int(2*ln((1-ln(2*x))/exp(1))/((x*ln(2*x)-x)*ln((1-ln(2*x))/exp(1))^2-4*x*ln(2*x)+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\left(1-\ln \left(2 x \right)\right) {\mathrm e}^{-1}\right)^{2}-4\right)$&$18$\\ norman&$\ln \left(\ln \left(\left(1-\ln \left(2 x \right)\right) {\mathrm e}^{-1}\right)-2\right)+\ln \left(\ln \left(\left(1-\ln \left(2 x \right)\right) {\mathrm e}^{-1}\right)+2\right)$&$36$\\ \hline \end{longtable}"," ",0,"ln(ln((1-ln(2*x))*exp(-1))^2-4)","A"
8992,1,15,14,0.079000," ","int(((20*x+50)*ln(5/2+x)-20*x)/((200*x+500)*ln(5/2+x)^2+(440*x^2+1100*x)*ln(5/2+x)+242*x^3+605*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{11 x +10 \ln \left(\frac{5}{2}+x \right)}$&$15$\\ norman&$-\frac{10 \ln \left(\frac{5}{2}+x \right)}{11 \left(11 x +10 \ln \left(\frac{5}{2}+x \right)\right)}$&$19$\\ \hline \end{longtable}"," ",0,"x/(11*x+10*ln(5/2+x))","A"
8993,1,22,19,0.086000," ","int(1/4*(-16*x^4-3*x^3-4*x+4)*exp(ln(1/10*x/exp(x))-x^4-1/4*x^3-3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\ln \left(\frac{x \,{\mathrm e}^{-x}}{10}\right)-x^{4}-\frac{x^{3}}{4}-3}$&$22$\\ \hline \end{longtable}"," ",0,"exp(ln(1/10*x/exp(x))-x^4-1/4*x^3-3)","A"
8994,1,15,15,0.041000," ","int((exp(4)*ln(3)^2+x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-\frac{{\mathrm e}^{4} \ln \left(3\right)^{2}}{x}$&$15$\\ norman&$\ln \left(x \right)-\frac{{\mathrm e}^{4} \ln \left(3\right)^{2}}{x}$&$15$\\ risch&$\ln \left(x \right)-\frac{{\mathrm e}^{4} \ln \left(3\right)^{2}}{x}$&$15$\\ \hline \end{longtable}"," ",0,"ln(x)-exp(4)/x*ln(3)^2","A"
8995,1,26,26,0.103000," ","int((-2*x*exp(2/5+1/5*exp(3))+2*x^5+x^4+x^2-9)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+x +\frac{-x^{2}+x \,{\mathrm e}^{\frac{2}{5}+\frac{{\mathrm e}^{3}}{5}}+3}{x^{3}}$&$26$\\ gosper&$\frac{x^{5}+x^{4}+x \,{\mathrm e}^{\frac{2}{5}+\frac{{\mathrm e}^{3}}{5}}-x^{2}+3}{x^{3}}$&$27$\\ default&$x^{2}+x +\frac{{\mathrm e}^{\frac{2}{5}+\frac{{\mathrm e}^{3}}{5}}}{x^{2}}-\frac{1}{x}+\frac{3}{x^{3}}$&$27$\\ norman&$\frac{3+x^{4}+x^{5}+{\mathrm e}^{\frac{2}{5}} {\mathrm e}^{\frac{{\mathrm e}^{3}}{5}} x -x^{2}}{x^{3}}$&$27$\\ \hline \end{longtable}"," ",0,"x^2+x+(-x^2+x*exp(2/5+1/5*exp(3))+3)/x^3","A"
8996,1,11,10,0.031000," ","int((4*ln(x)+2)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$4 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)$&$11$\\ default&$4 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)$&$11$\\ norman&$4 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)$&$11$\\ risch&$4 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)$&$11$\\ \hline \end{longtable}"," ",0,"4*ln(x)+2*ln(ln(x))","A"
8997,1,27,29,0.038000," ","int(((x^2*exp(x)^3+(x^2-x)*exp(x)^2)*exp(exp(x))*exp(exp(x)+x)-50*x^3*exp(exp(x))+5*x*exp(x)^3+10*exp(x)^2)/x^3/exp(x)^2/exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 \,{\mathrm e}^{-2 x}+\frac{{\mathrm e}^{{\mathrm e}^{x}+x}}{x}-\frac{5 \,{\mathrm e}^{-{\mathrm e}^{x}}}{x^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"25*exp(-2*x)+1/x*exp(exp(x)+x)-5/x^2*exp(-exp(x))","A"
8998,1,16,19,0.022000," ","int(-8*exp(3*exp(5*exp(5))+10*ln(2)-4*x-5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$1048576 \,{\mathrm e}^{6 \,{\mathrm e}^{5 \,{\mathrm e}^{5}}-10-8 x}$&$16$\\ gosper&$1048576 \,{\mathrm e}^{6 \,{\mathrm e}^{5 \,{\mathrm e}^{5}}-10-8 x}$&$20$\\ derivativedivides&$1048576 \,{\mathrm e}^{6 \,{\mathrm e}^{5 \,{\mathrm e}^{5}}-10-8 x}$&$20$\\ default&$1048576 \,{\mathrm e}^{6 \,{\mathrm e}^{5 \,{\mathrm e}^{5}}-10-8 x}$&$20$\\ norman&$1048576 \,{\mathrm e}^{6 \,{\mathrm e}^{5 \,{\mathrm e}^{5}}-10-8 x}$&$20$\\ \hline \end{longtable}"," ",0,"1048576*exp(6*exp(5*exp(5))-10-8*x)","A"
8999,1,23,25,0.077000," ","int((-2*x^3*exp(x+1)*exp(exp(x+1))+12)*exp(-exp(exp(x+1))+6)^2/x^3/exp(2)^2/exp(3/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 \left({\mathrm e}^{{\mathrm e}^{x +1}} x^{2}-4 x^{2}+3\right)}{x^{2}}}$&$23$\\ \hline \end{longtable}"," ",0,"exp(-2*(exp(exp(x+1))*x^2-4*x^2+3)/x^2)","A"
9000,1,301,20,0.227000," ","int(((4*x^3*exp(3*x)+28*x^3)*ln(3*x*exp(x)/(4*exp(3*x)+28))+(-2*x^4+5*x^3)*exp(3*x)+7*x^4+35*x^3)/(exp(3*x)+7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4} \ln \left({\mathrm e}^{x}\right)-x^{4} \ln \left({\mathrm e}^{3 x}+7\right)+x^{4} \ln \left(x \right)-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{x}}{{\mathrm e}^{3 x}+7}\right)^{3}}{2}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3 x}+7}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{3 x}+7}\right)^{2}}{2}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{3 x}+7}\right) \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{x}}{{\mathrm e}^{3 x}+7}\right)^{2}}{2}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{3 x}+7}\right)^{2}}{2}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{x}}{{\mathrm e}^{3 x}+7}\right)^{2}}{2}-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{3 x}+7}\right)^{3}}{2}-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{3 x}+7}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{3 x}+7}\right)}{2}-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{3 x}+7}\right) \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{x}}{{\mathrm e}^{3 x}+7}\right)}{2}+x^{4} \ln \left(3\right)-2 x^{4} \ln \left(2\right)+x^{4}$&$301$\\ \hline \end{longtable}"," ",0,"x^4*ln(exp(x))-x^4*ln(exp(3*x)+7)+x^4*ln(x)-1/2*I*Pi*x^4*csgn(I*x/(exp(3*x)+7)*exp(x))^3+1/2*I*Pi*x^4*csgn(I/(exp(3*x)+7))*csgn(I*exp(x)/(exp(3*x)+7))^2+1/2*I*Pi*x^4*csgn(I*exp(x)/(exp(3*x)+7))*csgn(I*x/(exp(3*x)+7)*exp(x))^2+1/2*I*Pi*x^4*csgn(I*exp(x))*csgn(I*exp(x)/(exp(3*x)+7))^2+1/2*I*Pi*x^4*csgn(I*x)*csgn(I*x/(exp(3*x)+7)*exp(x))^2-1/2*I*Pi*x^4*csgn(I*exp(x)/(exp(3*x)+7))^3-1/2*I*Pi*x^4*csgn(I*exp(x))*csgn(I/(exp(3*x)+7))*csgn(I*exp(x)/(exp(3*x)+7))-1/2*I*Pi*x^4*csgn(I*x)*csgn(I*exp(x)/(exp(3*x)+7))*csgn(I*x/(exp(3*x)+7)*exp(x))+x^4*ln(3)-2*x^4*ln(2)+x^4","C"
9001,1,75,28,0.113000," ","int(1/5*((-2*ln(x)^2*ln(2*x)+2*ln(x)-2)*exp(-x*ln(2*x)+x-15)^2+(2*x*ln(x)^2*ln(2*x)-2*ln(x)^2-4*x*ln(x)+4*x)*exp(-x*ln(2*x)+x-15)+2*x*ln(x)^2+2*x^2*ln(x)-2*x^2)*exp(x/ln(x))^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{\frac{2 x}{\ln \left(x \right)}}}{5}-\frac{2 \left(\frac{1}{2}\right)^{x} x^{-x} x \,{\mathrm e}^{\frac{x \ln \left(x \right)-15 \ln \left(x \right)+2 x}{\ln \left(x \right)}}}{5}+\frac{2^{-2 x} x^{-2 x} {\mathrm e}^{\frac{2 x \ln \left(x \right)-30 \ln \left(x \right)+2 x}{\ln \left(x \right)}}}{5}$&$75$\\ \hline \end{longtable}"," ",0,"1/5*x^2*exp(2*x/ln(x))-2/5*(1/2)^x*x^(-x)*x*exp((x*ln(x)-15*ln(x)+2*x)/ln(x))+1/5*((1/2)^x)^2*(x^(-x))^2*exp(2*(x*ln(x)-15*ln(x)+x)/ln(x))","B"
9002,1,13,11,0.145000," ","int(((8*x-1)*exp(8*x)+16)/(x*exp(8*x)-16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)+\ln \left({\mathrm e}^{8 x}-16\right)$&$13$\\ risch&$-\ln \left(x \right)+\ln \left({\mathrm e}^{8 x}-16\right)$&$13$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(exp(8*x)-16)","A"
9003,0,0,31,0.082000," ","int((((-x^3+x^2-75)*ln((x^3-x^2+75)/x)+(x^3-x^2+75)*ln(2))*ln((ln((x^3-x^2+75)/x)-ln(2))/ln(2))+2*x^4+x^3-x^2-75*x-75)/((x^5-x^4+75*x^2)*ln((x^3-x^2+75)/x)+(-x^5+x^4-75*x^2)*ln(2)),x)","\[\int \frac{\left(\left(-x^{3}+x^{2}-75\right) \ln \left(\frac{x^{3}-x^{2}+75}{x}\right)+\left(x^{3}-x^{2}+75\right) \ln \left(2\right)\right) \ln \left(\frac{\ln \left(\frac{x^{3}-x^{2}+75}{x}\right)-\ln \left(2\right)}{\ln \left(2\right)}\right)+2 x^{4}+x^{3}-x^{2}-75 x -75}{\left(x^{5}-x^{4}+75 x^{2}\right) \ln \left(\frac{x^{3}-x^{2}+75}{x}\right)+\left(-x^{5}+x^{4}-75 x^{2}\right) \ln \left(2\right)}\, dx\]"," ",0,"int((((-x^3+x^2-75)*ln((x^3-x^2+75)/x)+(x^3-x^2+75)*ln(2))*ln((ln((x^3-x^2+75)/x)-ln(2))/ln(2))+2*x^4+x^3-x^2-75*x-75)/((x^5-x^4+75*x^2)*ln((x^3-x^2+75)/x)+(-x^5+x^4-75*x^2)*ln(2)),x)","F"
9004,1,9,14,0.009000," ","int(5*x^4+4*x^3+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{5}+x^{4}+x$&$9$\\ default&$x^{5}+x^{4}+x$&$9$\\ norman&$x^{5}+x^{4}+x$&$9$\\ risch&$x^{5}+x^{4}+x$&$9$\\ \hline \end{longtable}"," ",0,"x^5+x^4+x","A"
9005,1,60,36,0.057000," ","int(256*exp(x)^4+1/32*(24576*x+8192)*exp(x)^3+1/32*(24576*x^2+24448*x-64)*exp(x)^2+1/32*(8192*x^3+24448*x^2-256*x)*exp(x)+256*x^3-6*x^2+1/32*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{64}-2 x^{3}+64 x^{4}+64 \,{\mathrm e}^{4 x}+256 x \,{\mathrm e}^{3 x}-2 x \,{\mathrm e}^{2 x}+384 \,{\mathrm e}^{2 x} x^{2}-4 \,{\mathrm e}^{x} x^{2}+256 \,{\mathrm e}^{x} x^{3}$&$60$\\ norman&$\frac{x^{2}}{64}-2 x^{3}+64 x^{4}+64 \,{\mathrm e}^{4 x}+256 x \,{\mathrm e}^{3 x}-2 x \,{\mathrm e}^{2 x}+384 \,{\mathrm e}^{2 x} x^{2}-4 \,{\mathrm e}^{x} x^{2}+256 \,{\mathrm e}^{x} x^{3}$&$60$\\ risch&$\frac{x^{2}}{64}-2 x^{3}+64 x^{4}+64 \,{\mathrm e}^{4 x}+256 x \,{\mathrm e}^{3 x}-2 x \,{\mathrm e}^{2 x}+384 \,{\mathrm e}^{2 x} x^{2}-4 \,{\mathrm e}^{x} x^{2}+256 \,{\mathrm e}^{x} x^{3}$&$60$\\ \hline \end{longtable}"," ",0,"1/64*x^2-2*x^3+64*x^4+64*exp(x)^4+256*x*exp(x)^3-2*x*exp(x)^2+384*exp(x)^2*x^2-4*exp(x)*x^2+256*exp(x)*x^3","A"
9006,1,5,24,0.013000," ","int(4/3/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 \ln \left(x \right)}{3}$&$5$\\ norman&$\frac{4 \ln \left(x \right)}{3}$&$5$\\ risch&$\frac{4 \ln \left(x \right)}{3}$&$5$\\ \hline \end{longtable}"," ",0,"4/3*ln(x)","A"
9007,1,28,27,0.097000," ","int((((-5*x^2+45)*exp(3/x)-24*x^2+72*x)*ln(3-x)+(10*x^3-20*x^2-45*x)*exp(3/x)+48*x^3-168*x^2)/(((5*x^3-15*x^2)*exp(3/x)+24*x^3-72*x^2)*ln(3-x)+(-5*x^4+15*x^3)*exp(3/x)-24*x^4+72*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+\ln \left({\mathrm e}^{\frac{3}{x}}+\frac{24}{5}\right)-\ln \left(\ln \left(3-x \right)-x \right)$&$28$\\ norman&$-\ln \left(x \right)-\ln \left(x -\ln \left(3-x \right)\right)+\ln \left(5 \,{\mathrm e}^{\frac{3}{x}}+24\right)$&$30$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(exp(3/x)+24/5)-ln(ln(3-x)-x)","A"
9008,1,23,25,0.033000," ","int((9*x^4+20*x^3-4*x^2+5*x-5)/(9*x^4+2*x^3-6*x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\ln \left(x \right)+\ln \left(9 x^{3}+2 x^{2}-6 x +5\right)$&$23$\\ norman&$x -\ln \left(x \right)+\ln \left(9 x^{3}+2 x^{2}-6 x +5\right)$&$23$\\ risch&$x -\ln \left(x \right)+\ln \left(9 x^{3}+2 x^{2}-6 x +5\right)$&$23$\\ \hline \end{longtable}"," ",0,"x-ln(x)+ln(9*x^3+2*x^2-6*x+5)","A"
9009,1,24,22,0.318000," ","int(((-x-25)*ln(x^2+50*x+625)+4*(2*x+50)*ln(2)+(x+25)*ln(5)+2*x)/((x+25)*ln(x^2+50*x+625)^2+(4*(-4*x-100)*ln(2)+(-2*x-50)*ln(5)-2*x^2-50*x)*ln(x^2+50*x+625)+16*(4*x+100)*ln(2)^2+4*((4*x+100)*ln(5)+4*x^2+100*x)*ln(2)+(x+25)*ln(5)^2+(2*x^2+50*x)*ln(5)+x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{\ln \left(5\right)+8 \ln \left(2\right)-\ln \left(x^{2}+50 x +625\right)+x}$&$24$\\ norman&$\frac{\ln \left(x^{2}+50 x +625\right)-\ln \left(5\right)-8 \ln \left(2\right)}{\ln \left(5\right)+8 \ln \left(2\right)-\ln \left(x^{2}+50 x +625\right)+x}$&$41$\\ \hline \end{longtable}"," ",0,"x/(ln(5)+8*ln(2)-ln(x^2+50*x+625)+x)","A"
9010,1,19,21,0.469000," ","int((ln(5)^2+(-x+4)*ln(5)-x+4)/(x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x \ln \left(5\right)-x +\ln \left(5\right)^{2} \ln \left(x -4\right)$&$19$\\ norman&$\left(-\ln \left(5\right)-1\right) x +\ln \left(5\right)^{2} \ln \left(x -4\right)$&$19$\\ risch&$-x \ln \left(5\right)-x +\ln \left(5\right)^{2} \ln \left(x -4\right)$&$19$\\ meijerg&$4 \ln \left(-\frac{x}{4}+1\right)-4 \left(-\ln \left(5\right)-1\right) \left(-\frac{x}{4}-\ln \left(-\frac{x}{4}+1\right)\right)+\ln \left(5\right)^{2} \ln \left(-\frac{x}{4}+1\right)+4 \ln \left(5\right) \ln \left(-\frac{x}{4}+1\right)$&$51$\\ \hline \end{longtable}"," ",0,"-x*ln(5)-x+ln(5)^2*ln(x-4)","A"
9011,1,124,28,12.669000," ","int(((-x^3*exp(5)^2-6)*ln(x)*ln(1/5*x/ln(x))+((2*x^3+x^2)*exp(5)^2+3)*ln(x)+(-x^3-x^2)*exp(5)^2+3)*exp(((-x^3-x^2)*exp(5)^2+3)/(x^2*exp(5)^2*ln(1/5*x/ln(x))-x^2*exp(5)^2))/(x^3*exp(5)^2*ln(x)*ln(1/5*x/ln(x))^2-2*x^3*exp(5)^2*ln(x)*ln(1/5*x/ln(x))+x^3*exp(5)^2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 \left(x^{3} {\mathrm e}^{10}+x^{2} {\mathrm e}^{10}-3\right) {\mathrm e}^{-10}}{x^{2} \left(i \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-2 \ln \left(x \right)+2 \ln \left(5\right)+2 \ln \left(\ln \left(x \right)\right)+2\right)}}$&$124$\\ \hline \end{longtable}"," ",0,"exp(2*(x^3*exp(10)+x^2*exp(10)-3)/x^2*exp(-10)/(I*Pi*csgn(I*x/ln(x))^3-I*Pi*csgn(I*x/ln(x))^2*csgn(I*x)-I*Pi*csgn(I*x/ln(x))^2*csgn(I/ln(x))+I*Pi*csgn(I*x/ln(x))*csgn(I*x)*csgn(I/ln(x))-2*ln(x)+2*ln(5)+2*ln(ln(x))+2))","C"
9012,1,26,28,0.067000," ","int((3*x^5+16*x^4+18*x^3+x^2-6*x+9)/((x^3+6*x^2+9*x)*ln(5*x)+x^6+5*x^5+6*x^4-3*x^3-6*x^2+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(5 x \right)+\frac{x^{4}+2 x^{3}-3 x +3}{3+x}\right)$&$26$\\ norman&$-\ln \left(3+x \right)+\ln \left(x^{4}+2 x^{3}+x \ln \left(5 x \right)-3 x +3 \ln \left(5 x \right)+3\right)$&$34$\\ \hline \end{longtable}"," ",0,"ln(ln(5*x)+(x^4+2*x^3-3*x+3)/(3+x))","A"
9013,1,41,27,0.152000," ","int(((15*x^2-10)*exp(2*x+1)^2+(10*x^2-20*x-20)*exp(4)*exp(2*x+1)+(-5*x^2-20*x-10)*exp(4)^2)/(x^5+2*x^4+x^3)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(5 \,{\mathrm e}^{8}+5 \,{\mathrm e}^{2} {\mathrm e}^{4 x}+10 \,{\mathrm e}^{4} {\mathrm e} \,{\mathrm e}^{2 x}\right) {\mathrm e}^{-x}}{x^{2} \left(x +1\right)}$&$41$\\ risch&$\frac{5 \,{\mathrm e}^{3 x +2}}{x^{2} \left(x +1\right)}+\frac{10 \,{\mathrm e}^{5+x}}{x^{2} \left(x +1\right)}+\frac{5 \,{\mathrm e}^{8-x}}{x^{2} \left(x +1\right)}$&$48$\\ default&$-10 \,{\mathrm e}^{8} \left(\frac{{\mathrm e}^{-x} \left(7 x^{2}+4 x -1\right)}{2 x^{2} \left(x +1\right)}-\frac{11 \expIntegralEi \left(1, x\right)}{2}+2 \,{\mathrm e} \expIntegralEi \left(1, x +1\right)\right)-10 \,{\mathrm e}^{2} \left(-\frac{3 \expIntegralEi \left(1, -3 x \right)}{2}+\frac{{\mathrm e}^{3 x}}{2 x}+\frac{{\mathrm e}^{3 x}}{x +1}+6 \,{\mathrm e}^{-3} \expIntegralEi \left(1, -3 x -3\right)-\frac{{\mathrm e}^{3 x}}{2 x^{2}}\right)-20 \,{\mathrm e}^{8} \left(-\frac{{\mathrm e}^{-x} \left(2 x +1\right)}{\left(x +1\right) x}+3 \expIntegralEi \left(1, x\right)-{\mathrm e} \expIntegralEi \left(1, x +1\right)\right)-5 \,{\mathrm e}^{8} \left(\frac{{\mathrm e}^{-x}}{x +1}-\expIntegralEi \left(1, x\right)\right)-20 \,{\mathrm e} \,{\mathrm e}^{4} \left(-\frac{3 \expIntegralEi \left(1, -x \right)}{2}+\frac{3 \,{\mathrm e}^{x}}{2 x}+\frac{{\mathrm e}^{x}}{x +1}+4 \,{\mathrm e}^{-1} \expIntegralEi \left(1, -x -1\right)-\frac{{\mathrm e}^{x}}{2 x^{2}}\right)+15 \,{\mathrm e}^{2} \left(-\expIntegralEi \left(1, -3 x \right)+\frac{{\mathrm e}^{3 x}}{x +1}+4 \,{\mathrm e}^{-3} \expIntegralEi \left(1, -3 x -3\right)\right)-20 \,{\mathrm e} \,{\mathrm e}^{4} \left(\expIntegralEi \left(1, -x \right)-\frac{{\mathrm e}^{x}}{x}-\frac{{\mathrm e}^{x}}{x +1}-3 \,{\mathrm e}^{-1} \expIntegralEi \left(1, -x -1\right)\right)+10 \,{\mathrm e} \,{\mathrm e}^{4} \left(-\expIntegralEi \left(1, -x \right)+\frac{{\mathrm e}^{x}}{x +1}+2 \,{\mathrm e}^{-1} \expIntegralEi \left(1, -x -1\right)\right)$&$316$\\ \hline \end{longtable}"," ",0,"(5*exp(4)^2+5*exp(1)^2*exp(x)^4+10*exp(4)*exp(1)*exp(x)^2)/x^2/(x+1)/exp(x)","A"
9014,1,30,23,0.049000," ","int(((-exp(x^2+4*x+4)-x)*ln(exp(x^2+4*x+4)+x)+((-2*x^2-4*x)*exp(x^2+4*x+4)-x)*ln(2*x))/((x*exp(x^2+4*x+4)+x^2)*ln(2*x)*ln(exp(x^2+4*x+4)+x)-5*x*exp(x^2+4*x+4)-5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\ln \left(2 x \right)\right)-\ln \left(\ln \left(x +{\mathrm e}^{\left(2+x \right)^{2}}\right)-\frac{5}{\ln \left(2 x \right)}\right)$&$30$\\ \hline \end{longtable}"," ",0,"-ln(ln(2*x))-ln(ln(x+exp((2+x)^2))-5/ln(2*x))","A"
9015,1,50,33,0.178000," ","int(((x^7-8*x^6+27*x^5-45*x^4+27*x^3+27*x^2-54*x+27)*exp(x)-2*x^7+16*x^6-54*x^5+114*x^4-142*x^3+162*x^2-132*x-54)/(x^6-9*x^5+36*x^4-81*x^3+108*x^2-81*x+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-2 x +\frac{-24 x^{3}+80 x^{2}-144 x +72}{x^{4}-6 x^{3}+15 x^{2}-18 x +9}+{\mathrm e}^{x} x$&$50$\\ norman&$\frac{x^{5} {\mathrm e}^{x}-54 x -9 x^{4}+17 x^{2}+4 x^{5}-x^{6}+9 \,{\mathrm e}^{x} x -18 \,{\mathrm e}^{x} x^{2}+15 \,{\mathrm e}^{x} x^{3}-6 \,{\mathrm e}^{x} x^{4}+18}{\left(x^{2}-3 x +3\right)^{2}}$&$69$\\ default&$-2 x -\frac{54 \left(6 x^{3}-\frac{75}{2} x^{2}+72 x -54\right)}{\left(x^{2}-3 x +3\right)^{2}}-x^{2}-8 \,{\mathrm e}^{x}-\frac{22 \left(3 x -6\right)}{\left(x^{2}-3 x +3\right)^{2}}-\frac{142 \left(3 x^{3}-14 x^{2}+24 x -\frac{33}{2}\right)}{\left(x^{2}-3 x +3\right)^{2}}+\left(x +8\right) {\mathrm e}^{x}+\frac{9 \,{\mathrm e}^{x} \left(13 x^{3}-57 x^{2}+96 x -63\right)}{2 \left(x^{4}-6 x^{3}+15 x^{2}-18 x +9\right)}+\frac{270 x^{3}-1215 x^{2}+2106 x -1458}{\left(x^{2}-3 x +3\right)^{2}}-\frac{9 \left(2 x -3\right)}{\left(x^{2}-3 x +3\right)^{2}}-\frac{84 \left(2 x -3\right)}{x^{2}-3 x +3}-\frac{9 \,{\mathrm e}^{x} \left(7 x^{3}-30 x^{2}+51 x -33\right)}{x^{4}-6 x^{3}+15 x^{2}-18 x +9}+\frac{570 x^{3}-2907 x^{2}+5130 x -3591}{\left(x^{2}-3 x +3\right)^{2}}-\frac{18 \left(-3 x^{3}+\frac{15}{2} x^{2}-6 x -\frac{3}{2}\right)}{\left(x^{2}-3 x +3\right)^{2}}+\frac{-432 x^{2}+1152 x -1080}{\left(x^{2}-3 x +3\right)^{2}}+\frac{27 \,{\mathrm e}^{x} \left(8 x^{3}-37 x^{2}+63 x -42\right)}{2 \left(x^{4}-6 x^{3}+15 x^{2}-18 x +9\right)}-\frac{9 \,{\mathrm e}^{x} \left(7 x^{3}-18 x^{2}+15 x +3\right)}{2 \left(x^{4}-6 x^{3}+15 x^{2}-18 x +9\right)}+\frac{81 \,{\mathrm e}^{x} \left(5 x^{3}-31 x^{2}+60 x -45\right)}{2 \left(x^{4}-6 x^{3}+15 x^{2}-18 x +9\right)}-\frac{45 \,{\mathrm e}^{x} \left(13 x^{3}-66 x^{2}+117 x -81\right)}{2 \left(x^{4}-6 x^{3}+15 x^{2}-18 x +9\right)}+\frac{9 \,{\mathrm e}^{x} \left(4 x^{3}-17 x^{2}+29 x -18\right)}{2 \left(x^{4}-6 x^{3}+15 x^{2}-18 x +9\right)}+\frac{36 \,{\mathrm e}^{x} \left(7 x^{2}-19 x +18\right)}{x^{4}-6 x^{3}+15 x^{2}-18 x +9}$&$535$\\ \hline \end{longtable}"," ",0,"-x^2-2*x+(-24*x^3+80*x^2-144*x+72)/(x^4-6*x^3+15*x^2-18*x+9)+exp(x)*x","A"
9016,1,24,17,0.033000," ","int(1/72*((2*x^2-4*x)*ln(x)-6*x^3+15*x^2-8*x+4)*exp(1/72*(x^2-4*x+4)*ln(x)-1/36*x^3+7/72*x^2-1/18*x-1/18)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\frac{\left(x -2\right)^{2}}{72}} {\mathrm e}^{-\frac{\left(2 x +1\right) \left(x -2\right)^{2}}{72}}$&$24$\\ norman&${\mathrm e}^{\frac{\left(x^{2}-4 x +4\right) \ln \left(x \right)}{72}-\frac{x^{3}}{36}+\frac{7 x^{2}}{72}-\frac{x}{18}-\frac{1}{18}}$&$29$\\ \hline \end{longtable}"," ",0,"x^(1/72*(x-2)^2)*exp(-1/72*(2*x+1)*(x-2)^2)","A"
9017,1,26,24,0.536000," ","int(((32*x^2+624*x+1145)*exp(5)-96*x-1680)*exp(-16/25*x^2-112/5*x-191)/((25*x^2+100*x+100)*exp(5)^2+(-150*x-300)*exp(5)+225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{{\mathrm e}^{-\frac{16}{25} x^{2}-\frac{112}{5} x -191}}{x \,{\mathrm e}^{5}+2 \,{\mathrm e}^{5}-3}$&$26$\\ norman&$-\frac{{\mathrm e}^{-\frac{16}{25} x^{2}-\frac{112}{5} x -191}}{x \,{\mathrm e}^{5}+2 \,{\mathrm e}^{5}-3}$&$26$\\ risch&$-\frac{{\mathrm e}^{-\frac{16}{25} x^{2}-\frac{112}{5} x -191}}{x \,{\mathrm e}^{5}+2 \,{\mathrm e}^{5}-3}$&$26$\\ \hline \end{longtable}"," ",0,"-exp(-16/25*x^2-112/5*x-191)/(x*exp(5)+2*exp(5)-3)","A"
9018,1,69,21,0.085000," ","int(((-72*exp(1)^3+432*x*exp(1)^2-864*x^2*exp(1)+576*x^3)*ln(5)^2+(-6*exp(1)^2+48*x*exp(1)-72*x^2)*ln(5)+2*x)*exp((9*exp(1)^4-72*x*exp(1)^3+216*x^2*exp(1)^2-288*x^3*exp(1)+144*x^4)*ln(5)^2+(-6*x*exp(1)^2+24*x^2*exp(1)-24*x^3)*ln(5)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{\left(9 \,{\mathrm e}^{4}-72 x \,{\mathrm e}^{3}+216 x^{2} {\mathrm e}^{2}-288 x^{3} {\mathrm e}+144 x^{4}\right) \ln \left(5\right)^{2}+\left(-6 \,{\mathrm e}^{2} x +24 x^{2} {\mathrm e}-24 x^{3}\right) \ln \left(5\right)+x^{2}}$&$69$\\ default&${\mathrm e}^{\left(9 \,{\mathrm e}^{4}-72 x \,{\mathrm e}^{3}+216 x^{2} {\mathrm e}^{2}-288 x^{3} {\mathrm e}+144 x^{4}\right) \ln \left(5\right)^{2}+\left(-6 \,{\mathrm e}^{2} x +24 x^{2} {\mathrm e}-24 x^{3}\right) \ln \left(5\right)+x^{2}}$&$69$\\ norman&${\mathrm e}^{\left(9 \,{\mathrm e}^{4}-72 x \,{\mathrm e}^{3}+216 x^{2} {\mathrm e}^{2}-288 x^{3} {\mathrm e}+144 x^{4}\right) \ln \left(5\right)^{2}+\left(-6 \,{\mathrm e}^{2} x +24 x^{2} {\mathrm e}-24 x^{3}\right) \ln \left(5\right)+x^{2}}$&$69$\\ risch&$15625^{-\left(-4 x \,{\mathrm e}+4 x^{2}+{\mathrm e}^{2}\right) x} {\mathrm e}^{-288 \ln \left(5\right)^{2} {\mathrm e} x^{3}+144 x^{4} \ln \left(5\right)^{2}+216 \,{\mathrm e}^{2} \ln \left(5\right)^{2} x^{2}-72 \ln \left(5\right)^{2} {\mathrm e}^{3} x +9 \ln \left(5\right)^{2} {\mathrm e}^{4}+x^{2}}$&$73$\\ gosper&${\mathrm e}^{9 \ln \left(5\right)^{2} {\mathrm e}^{4}-72 \ln \left(5\right)^{2} {\mathrm e}^{3} x +216 \,{\mathrm e}^{2} \ln \left(5\right)^{2} x^{2}-288 \ln \left(5\right)^{2} {\mathrm e} x^{3}+144 x^{4} \ln \left(5\right)^{2}-6 x \,{\mathrm e}^{2} \ln \left(5\right)+24 \ln \left(5\right) {\mathrm e} x^{2}-24 x^{3} \ln \left(5\right)+x^{2}}$&$85$\\ \hline \end{longtable}"," ",0,"exp((9*exp(1)^4-72*x*exp(1)^3+216*x^2*exp(1)^2-288*x^3*exp(1)+144*x^4)*ln(5)^2+(-6*x*exp(1)^2+24*x^2*exp(1)-24*x^3)*ln(5)+x^2)","B"
9019,1,24,18,0.460000," ","int(((7*x+7)*ln(x)+(7*x+7)*ln(-x-1)-14*x-7)/(x^3+x^2)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{7 \,{\mathrm e}^{-2} \ln \left(-x -1\right)}{x}-\frac{7 \,{\mathrm e}^{-2} \ln \left(x \right)}{x}$&$24$\\ default&${\mathrm e}^{-2} \left(7 \ln \left(-x \right)+\frac{7 \ln \left(-x -1\right) \left(-x -1\right)}{x}-\frac{7 \ln \left(x \right)}{x}-7 \ln \left(x \right)+7 \ln \left(x +1\right)\right)$&$46$\\ \hline \end{longtable}"," ",0,"-7*exp(-2)/x*ln(-x-1)-7*exp(-2)*ln(x)/x","A"
9020,1,16,17,0.125000," ","int(((-16*x*ln(x)*exp(4/exp(x))^4*exp(exp(4/exp(x))^4)+exp(x))*exp(exp(exp(4/exp(x))^4))+5*exp(x))*exp(ln(x)*exp(exp(exp(4/exp(x))^4))+5*ln(x))/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{16 \,{\mathrm e}^{-x}}}}} x^{5}$&$16$\\ \hline \end{longtable}"," ",0,"x^exp(exp(exp(16*exp(-x))))*x^5","A"
9021,1,9,17,0.029000," ","int(2*exp(2*x+exp(exp(1))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{2 x +{\mathrm e}^{{\mathrm e}}}$&$9$\\ derivativedivides&${\mathrm e}^{2 x +{\mathrm e}^{{\mathrm e}}}$&$9$\\ default&${\mathrm e}^{2 x +{\mathrm e}^{{\mathrm e}}}$&$9$\\ norman&${\mathrm e}^{2 x +{\mathrm e}^{{\mathrm e}}}$&$9$\\ risch&${\mathrm e}^{2 x +{\mathrm e}^{{\mathrm e}}}$&$9$\\ meijerg&$-{\mathrm e}^{{\mathrm e}^{{\mathrm e}}} \left(1-{\mathrm e}^{2 x}\right)$&$15$\\ \hline \end{longtable}"," ",0,"exp(2*x+exp(exp(1)))","A"
9022,1,568,30,0.895000," ","int((((-16*x^3+32*x^2)*ln(1/4*x-1/2)^4+(32*x^3-84*x^2+40*x)*ln(1/4*x-1/2)^2-16*x^3+52*x^2-46*x+12)*ln((-4*x^2*ln(1/4*x-1/2)^2+4*x^2-2*x)/(4*x*ln(1/4*x-1/2)^2+3-4*x))+(8*x^3-16*x^2)*ln(1/4*x-1/2)^4+(-16*x^3+44*x^2-24*x)*ln(1/4*x-1/2)^2+4*x^2*ln(1/4*x-1/2)+8*x^3-28*x^2+27*x-6)/((8*x^6-16*x^5)*ln(1/4*x-1/2)^4+(-16*x^6+42*x^5-20*x^4)*ln(1/4*x-1/2)^2+8*x^6-26*x^5+23*x^4-6*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(\frac{3}{4}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x \right)}{x^{2}}+\frac{-2 i \pi  \mathrm{csgn}\left(\frac{i x \left(\frac{1}{2}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x \right)}{\frac{3}{4}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(\frac{1}{2}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x \right)}{\frac{3}{4}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x}\right) \mathrm{csgn}\left(\frac{i x \left(\frac{1}{2}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x \right)}{\frac{3}{4}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(\frac{1}{2}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x \right)}{\frac{3}{4}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(\frac{1}{2}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x \right)\right) \mathrm{csgn}\left(\frac{i}{\frac{3}{4}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{1}{2}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x \right)}{\frac{3}{4}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x}\right)+i \pi  \,\mathrm{csgn}\left(i \left(\frac{1}{2}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{1}{2}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x \right)}{\frac{3}{4}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{i}{\frac{3}{4}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{1}{2}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x \right)}{\frac{3}{4}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \left(\frac{1}{2}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x \right)}{\frac{3}{4}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x}\right)^{3}+i \pi  \,\mathrm{csgn}\left(\frac{i \left(\frac{1}{2}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x \right)}{\frac{3}{4}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x}\right) \mathrm{csgn}\left(\frac{i x \left(\frac{1}{2}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x \right)}{\frac{3}{4}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i x \left(\frac{1}{2}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x \right)}{\frac{3}{4}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x}\right)^{3}+2 i \pi +2 \ln \left(x \right)+2 \ln \left(\frac{1}{2}+\left(\ln \left(\frac{x}{4}-\frac{1}{2}\right)^{2}-1\right) x \right)}{2 x^{2}}$&$568$\\ \hline \end{longtable}"," ",0,"-1/x^2*ln(3/4+(ln(1/4*x-1/2)^2-1)*x)+1/2*(-2*I*Pi*csgn(I*x/(3/4+(ln(1/4*x-1/2)^2-1)*x)*(1/2+(ln(1/4*x-1/2)^2-1)*x))^2-I*Pi*csgn(I*x)*csgn(I*(1/2+(ln(1/4*x-1/2)^2-1)*x)/(3/4+(ln(1/4*x-1/2)^2-1)*x))*csgn(I*x/(3/4+(ln(1/4*x-1/2)^2-1)*x)*(1/2+(ln(1/4*x-1/2)^2-1)*x))+I*Pi*csgn(I*x)*csgn(I*x/(3/4+(ln(1/4*x-1/2)^2-1)*x)*(1/2+(ln(1/4*x-1/2)^2-1)*x))^2-I*Pi*csgn(I*(1/2+(ln(1/4*x-1/2)^2-1)*x))*csgn(I/(3/4+(ln(1/4*x-1/2)^2-1)*x))*csgn(I*(1/2+(ln(1/4*x-1/2)^2-1)*x)/(3/4+(ln(1/4*x-1/2)^2-1)*x))+I*Pi*csgn(I*(1/2+(ln(1/4*x-1/2)^2-1)*x))*csgn(I*(1/2+(ln(1/4*x-1/2)^2-1)*x)/(3/4+(ln(1/4*x-1/2)^2-1)*x))^2+I*Pi*csgn(I/(3/4+(ln(1/4*x-1/2)^2-1)*x))*csgn(I*(1/2+(ln(1/4*x-1/2)^2-1)*x)/(3/4+(ln(1/4*x-1/2)^2-1)*x))^2-I*Pi*csgn(I*(1/2+(ln(1/4*x-1/2)^2-1)*x)/(3/4+(ln(1/4*x-1/2)^2-1)*x))^3+I*Pi*csgn(I*(1/2+(ln(1/4*x-1/2)^2-1)*x)/(3/4+(ln(1/4*x-1/2)^2-1)*x))*csgn(I*x/(3/4+(ln(1/4*x-1/2)^2-1)*x)*(1/2+(ln(1/4*x-1/2)^2-1)*x))^2+I*Pi*csgn(I*x/(3/4+(ln(1/4*x-1/2)^2-1)*x)*(1/2+(ln(1/4*x-1/2)^2-1)*x))^3+2*I*Pi+2*ln(x)+2*ln(1/2+(ln(1/4*x-1/2)^2-1)*x))/x^2","C"
9023,1,11,13,0.479000," ","int((-x-1)/(x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -3 \ln \left(x -2\right)$&$11$\\ norman&$-x -3 \ln \left(x -2\right)$&$11$\\ risch&$-x -3 \ln \left(x -2\right)$&$11$\\ meijerg&$-3 \ln \left(1-\frac{x}{2}\right)-x$&$13$\\ \hline \end{longtable}"," ",0,"-x-3*ln(x-2)","A"
9024,1,40,34,0.507000," ","int(((-16*x^4+4*x-2)*ln(3)^2*exp(-x^4+x+2)-2*x*ln(3)^2)*ln((exp(-x^4+x+2)^2-2*x*exp(-x^4+x+2)+x^2)/x)/(x*exp(-x^4+x+2)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(3\right)^{2} \ln \left(\frac{{\mathrm e}^{-2 x^{4}+2 x +4}-2 x \,{\mathrm e}^{-x^{4}+x +2}+x^{2}}{x}\right)^{2}$&$40$\\ risch&$-32 \ln \left(3\right)^{2}+4 i \pi  \ln \left(3\right)^{2} \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}}{x}\right)^{3}+4 i \pi  \ln \left(3\right)^{2} \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}\right)^{3}+\left(-4 \ln \left(3\right)^{2} \ln \left(x \right)-16 \ln \left(3\right)^{2}\right) \ln \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)+\ln \left(3\right)^{2} \ln \left(x \right)^{2}+16 \ln \left(3\right)^{2} \ln \left({\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}-x \right)+4 \ln \left(3\right)^{2} \ln \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}-2 i \pi  \ln \left(3\right)^{2} \ln \left({\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}-x \right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}}{x}\right)+i \ln \left(x \right) \pi  \ln \left(3\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}}{x}\right)+2 i \pi  \ln \left(3\right)^{2} \ln \left({\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}-x \right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}}{x}\right)^{2}-2 i \pi  \ln \left(3\right)^{2} \ln \left({\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}-x \right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)\right)^{2} \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}\right)+i \ln \left(x \right) \pi  \ln \left(3\right)^{2} \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)\right)^{2} \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}\right)-i \ln \left(x \right) \pi  \ln \left(3\right)^{2} \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}}{x}\right)^{2}-4 i \pi  \ln \left(3\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}}{x}\right)^{2}+4 i \pi  \ln \left(3\right)^{2} \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)\right)^{2} \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}\right)-8 i \pi  \ln \left(3\right)^{2} \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)\right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}\right)^{2}-4 i \pi  \ln \left(3\right)^{2} \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}}{x}\right)^{2}-2 i \pi  \ln \left(3\right)^{2} \ln \left({\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}-x \right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}\right)^{3}-i \ln \left(x \right) \pi  \ln \left(3\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}}{x}\right)^{2}-2 i \ln \left(x \right) \pi  \ln \left(3\right)^{2} \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)\right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}\right)^{2}+4 i \pi  \ln \left(3\right)^{2} \ln \left({\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}-x \right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)\right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}\right)^{2}+2 i \pi  \ln \left(3\right)^{2} \ln \left({\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}-x \right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}}{x}\right)^{2}+4 i \pi  \ln \left(3\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}}{x}\right)-2 i \pi  \ln \left(3\right)^{2} \ln \left({\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}-x \right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}}{x}\right)^{3}+i \ln \left(x \right) \pi  \ln \left(3\right)^{2} \mathrm{csgn}\left(i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}\right)^{3}+i \ln \left(x \right) \pi  \ln \left(3\right)^{2} \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{-\left(x +1\right) \left(x^{3}-x^{2}+x -2\right)}+x \right)^{2}}{x}\right)^{3}$&$1442$\\ \hline \end{longtable}"," ",0,"ln(3)^2*ln((exp(-x^4+x+2)^2-2*x*exp(-x^4+x+2)+x^2)/x)^2","A"
9025,1,135,20,0.274000," ","int(((-4*x^2-2*x+2)*ln(8/5*x*ln(2)/exp(x)/exp(x^2))+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -2 \ln \left(x \,{\mathrm e}^{-\left(x +1\right) x}\right) x^{2}+2 \ln \left(x \,{\mathrm e}^{-\left(x +1\right) x}\right) \ln \left(x \right)-2 \ln \left(x \,{\mathrm e}^{-\left(x +1\right) x}\right) x +2 x^{2} \ln \left(x \right)-x^{2}+2 x \ln \left(x \right)-\ln \left(x \right)^{2}-x^{4}-2 x^{3}+2 x^{2} \ln \left(5\right)-6 x^{2} \ln \left(2\right)-2 x^{2} \ln \left(\ln \left(2\right)\right)-2 \ln \left(5\right) \ln \left(x \right)+2 x \ln \left(5\right)+6 \ln \left(2\right) \ln \left(x \right)-6 x \ln \left(2\right)+2 \ln \left(x \right) \ln \left(\ln \left(2\right)\right)-2 x \ln \left(\ln \left(2\right)\right)$&$135$\\ risch&$x -2 x^{2} \ln \left(\ln \left(2\right)\right)+2 \ln \left(x \right) \ln \left(\ln \left(2\right)\right)+2 x^{2} \ln \left(5\right)+\ln \left(x \right)^{2}-x^{4}-2 x^{3}-x^{2}+6 \ln \left(2\right) \ln \left(x \right)+2 x \ln \left(5\right)-6 x \ln \left(2\right)-6 x^{2} \ln \left(2\right)-i \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-\left(x +1\right) x}\right)^{3}+i \pi  \,x^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-\left(x +1\right) x}\right)^{3}+i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right)^{3}-i \ln \left(x \right) \pi  \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right)^{3}+i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right)^{3}+i \pi  x \mathrm{csgn}\left(i x \,{\mathrm e}^{-\left(x +1\right) x}\right)^{3}+2 x \ln \left({\mathrm e}^{x}\right)-2 \ln \left(5\right) \ln \left(x \right)-2 x \ln \left(\ln \left(2\right)\right)+2 x^{2} \ln \left({\mathrm e}^{x}\right)+i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\left(x +1\right) x}\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\left(x +1\right) x}\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right)^{2}-i \pi  x \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right)-i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\left(x +1\right) x}\right)^{2}-i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right)+\left(2 x^{2}+2 x -2 \ln \left(x \right)\right) \ln \left({\mathrm e}^{x^{2}}\right)-i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\left(x +1\right) x}\right)^{2}-i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\left(x +1\right) x}\right)^{2}+i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\left(x +1\right) x}\right)^{2}+i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right)^{2}+i \ln \left(x \right) \pi  \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right)-i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\left(x +1\right) x}\right)-i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right)+i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\left(x +1\right) x}\right)+i \pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right)+i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\left(x +1\right) x}\right)+i \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-\left(x +1\right) x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x^{2}}\right)-2 \ln \left(x \right) \ln \left({\mathrm e}^{x}\right)$&$779$\\ \hline \end{longtable}"," ",0,"x-2*ln(x*exp(-(x+1)*x))*x^2+2*ln(x*exp(-(x+1)*x))*ln(x)-2*ln(x*exp(-(x+1)*x))*x+2*x^2*ln(x)-x^2+2*x*ln(x)-ln(x)^2-x^4-2*x^3+2*x^2*ln(5)-6*x^2*ln(2)-2*x^2*ln(ln(2))-2*ln(5)*ln(x)+2*x*ln(5)+6*ln(2)*ln(x)-6*x*ln(2)+2*ln(x)*ln(ln(2))-2*x*ln(ln(2))","B"
9026,1,26,26,0.072000," ","int(((18*exp(x)^3-90*exp(x)^2+2*exp(x))*exp(9*exp(x)^2-90*exp(x)+225)+4*exp(x)+x+1)/(exp(x)*exp(9*exp(x)^2-90*exp(x)+225)+2*exp(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\ln \left({\mathrm e}^{x} {\mathrm e}^{9 \,{\mathrm e}^{2 x}-90 \,{\mathrm e}^{x}+225}+2 \,{\mathrm e}^{x}+x \right)$&$26$\\ risch&$2 x -225+\ln \left({\mathrm e}^{9 \,{\mathrm e}^{2 x}-90 \,{\mathrm e}^{x}+225}+\left(2 \,{\mathrm e}^{x}+x \right) {\mathrm e}^{-x}\right)$&$32$\\ \hline \end{longtable}"," ",0,"x+ln(exp(x)*exp(9*exp(x)^2-90*exp(x)+225)+2*exp(x)+x)","A"
9027,1,33,21,0.965000," ","int((((2*x^3-2*x^2+24*x)*ln(2)-x^2+x-12)*ln(-x^2+x-12)+(2*x^3-x^2)*ln(2)-2*x^2+9*x-4)/(x^2-x+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2} \ln \left(2\right)-x \right) \ln \left(-x^{2}+x -12\right)+4 \ln \left(x^{2}-x +12\right)$&$33$\\ default&$\ln \left(2\right) \ln \left(-x^{2}+x -12\right) x^{2}+4 \ln \left(x^{2}-x +12\right)-\ln \left(-x^{2}+x -12\right) x$&$40$\\ norman&$4 \ln \left(-x^{2}+x -12\right)+\ln \left(2\right) \ln \left(-x^{2}+x -12\right) x^{2}-\ln \left(-x^{2}+x -12\right) x$&$40$\\ \hline \end{longtable}"," ",0,"(x^2*ln(2)-x)*ln(-x^2+x-12)+4*ln(x^2-x+12)","A"
9028,1,9,13,0.014000," ","int(1/20*(12*x-21)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{3 x}{5}-\frac{21 \ln \left(x \right)}{20}$&$9$\\ norman&$\frac{3 x}{5}-\frac{21 \ln \left(x \right)}{20}$&$9$\\ risch&$\frac{3 x}{5}-\frac{21 \ln \left(x \right)}{20}$&$9$\\ \hline \end{longtable}"," ",0,"3/5*x-21/20*ln(x)","A"
9029,1,39,26,0.973000," ","int((((2*x*exp(3)+2*x^2)*ln(-3*exp(1)-4)-2*x^2)*ln(((-x*exp(3)-x^2)*ln(-3*exp(1)-4)+x^2)/ln(-3*exp(1)-4))+(x*exp(3)+2*x^2)*ln(-3*exp(1)-4)-2*x^2)/((exp(3)+x)*ln(-3*exp(1)-4)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2} \ln \left(\frac{\left(-x \,{\mathrm e}^{3}-x^{2}\right) \ln \left(-3 \,{\mathrm e}-4\right)+x^{2}}{\ln \left(-3 \,{\mathrm e}-4\right)}\right)$&$39$\\ risch&$x^{2} \ln \left(\frac{\left(-x \,{\mathrm e}^{3}-x^{2}\right) \ln \left(-3 \,{\mathrm e}-4\right)+x^{2}}{\ln \left(-3 \,{\mathrm e}-4\right)}\right)$&$39$\\ default&$x^{2} \ln \left(\frac{x \left(-{\mathrm e}^{3} \ln \left(-3 \,{\mathrm e}-4\right)-\ln \left(-3 \,{\mathrm e}-4\right) x +x \right)}{\ln \left(-3 \,{\mathrm e}-4\right)}\right)$&$40$\\ \hline \end{longtable}"," ",0,"x^2*ln(((-x*exp(3)-x^2)*ln(-3*exp(1)-4)+x^2)/ln(-3*exp(1)-4))","A"
9030,1,34,30,0.100000," ","int(((x^3-10*x^2+33*x-36)*ln(x^2)+(-x^5+6*x^4-9*x^3)*exp(x)-x^5+6*x^4-16*x^3+16*x^2-42*x+36)/(x^5-6*x^4+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(x^{2}\right)}{x}+\frac{2 \ln \left(x^{2}\right)}{x^{2}}-x +\frac{5}{x -3}-{\mathrm e}^{x}$&$34$\\ risch&$-\frac{2 \left(x -2\right) \ln \left(x \right)}{x^{2}}-\frac{-i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}+5 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-10 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+5 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-6 i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+12 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-6 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 x^{4}+2 \,{\mathrm e}^{x} x^{3}-6 x^{3}-6 \,{\mathrm e}^{x} x^{2}-10 x^{2}}{2 x^{2} \left(x -3\right)}$&$211$\\ \hline \end{longtable}"," ",0,"-ln(x^2)/x+2*ln(x^2)/x^2-x+5/(x-3)-exp(x)","A"
9031,1,491,27,0.751000," ","int(((4*x+16)*exp(2)*exp(x)^2+(-16*x^2-144*x-320)*exp(2)*exp(x)+(-2*x^3-30*x^2-150*x-250)*exp(2))*ln((exp(2)*exp(x)^2+(-8*x-40)*exp(2)*exp(x)+(-x^3+11*x^2+185*x+525)*exp(2)-x^2-10*x-25)/(x^2+10*x+25)/exp(2))*exp(ln((exp(2)*exp(x)^2+(-8*x-40)*exp(2)*exp(x)+(-x^3+11*x^2+185*x+525)*exp(2)-x^2-10*x-25)/(x^2+10*x+25)/exp(2))^2)/((5+x)*exp(2)*exp(x)^2+(-8*x^2-80*x-200)*exp(2)*exp(x)+(-x^4+6*x^3+240*x^2+1450*x+2625)*exp(2)-x^3-15*x^2-75*x-125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(-i \pi  \mathrm{csgn}\left(i \left(5+x \right)^{2}\right)^{3}+2 i \pi  \mathrm{csgn}\left(i \left(5+x \right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(5+x \right)\right)-i \pi  \,\mathrm{csgn}\left(i \left(5+x \right)^{2}\right) \mathrm{csgn}\left(i \left(5+x \right)\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \left(\left(x^{3}-11 x^{2}+\left(8 \,{\mathrm e}^{x}-185\right) x -{\mathrm e}^{2 x}+40 \,{\mathrm e}^{x}-525\right) {\mathrm e}^{2}+x^{2}+10 x +25\right)}{\left(5+x \right)^{2}}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left(\left(x^{3}-11 x^{2}+\left(8 \,{\mathrm e}^{x}-185\right) x -{\mathrm e}^{2 x}+40 \,{\mathrm e}^{x}-525\right) {\mathrm e}^{2}+x^{2}+10 x +25\right)}{\left(5+x \right)^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{\left(5+x \right)^{2}}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(\left(x^{3}-11 x^{2}+\left(8 \,{\mathrm e}^{x}-185\right) x -{\mathrm e}^{2 x}+40 \,{\mathrm e}^{x}-525\right) {\mathrm e}^{2}+x^{2}+10 x +25\right)}{\left(5+x \right)^{2}}\right)^{2} \mathrm{csgn}\left(i \left(\left(x^{3}-11 x^{2}+\left(8 \,{\mathrm e}^{x}-185\right) x -{\mathrm e}^{2 x}+40 \,{\mathrm e}^{x}-525\right) {\mathrm e}^{2}+x^{2}+10 x +25\right)\right)+i \pi  \,\mathrm{csgn}\left(\frac{i \left(\left(x^{3}-11 x^{2}+\left(8 \,{\mathrm e}^{x}-185\right) x -{\mathrm e}^{2 x}+40 \,{\mathrm e}^{x}-525\right) {\mathrm e}^{2}+x^{2}+10 x +25\right)}{\left(5+x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{\left(5+x \right)^{2}}\right) \mathrm{csgn}\left(i \left(\left(x^{3}-11 x^{2}+\left(8 \,{\mathrm e}^{x}-185\right) x -{\mathrm e}^{2 x}+40 \,{\mathrm e}^{x}-525\right) {\mathrm e}^{2}+x^{2}+10 x +25\right)\right)+2 i \mathrm{csgn}\left(\frac{i \left(\left(x^{3}-11 x^{2}+\left(8 \,{\mathrm e}^{x}-185\right) x -{\mathrm e}^{2 x}+40 \,{\mathrm e}^{x}-525\right) {\mathrm e}^{2}+x^{2}+10 x +25\right)}{\left(5+x \right)^{2}}\right)^{2} \pi -2 i \pi +4 \ln \left(5+x \right)-2 \ln \left(\left(x^{3}-11 x^{2}+\left(8 \,{\mathrm e}^{x}-185\right) x -{\mathrm e}^{2 x}+40 \,{\mathrm e}^{x}-525\right) {\mathrm e}^{2}+x^{2}+10 x +25\right)+4\right)^{2}}{4}}$&$491$\\ \hline \end{longtable}"," ",0,"exp(1/4*(-I*Pi*csgn(I*(5+x)^2)^3+2*I*Pi*csgn(I*(5+x)^2)^2*csgn(I*(5+x))-I*Pi*csgn(I*(5+x)^2)*csgn(I*(5+x))^2-I*Pi*csgn(I/(5+x)^2*((x^3-11*x^2+(8*exp(x)-185)*x-exp(2*x)+40*exp(x)-525)*exp(2)+x^2+10*x+25))^3-I*Pi*csgn(I/(5+x)^2*((x^3-11*x^2+(8*exp(x)-185)*x-exp(2*x)+40*exp(x)-525)*exp(2)+x^2+10*x+25))^2*csgn(I/(5+x)^2)-I*Pi*csgn(I/(5+x)^2*((x^3-11*x^2+(8*exp(x)-185)*x-exp(2*x)+40*exp(x)-525)*exp(2)+x^2+10*x+25))^2*csgn(I*((x^3-11*x^2+(8*exp(x)-185)*x-exp(2*x)+40*exp(x)-525)*exp(2)+x^2+10*x+25))+I*Pi*csgn(I/(5+x)^2*((x^3-11*x^2+(8*exp(x)-185)*x-exp(2*x)+40*exp(x)-525)*exp(2)+x^2+10*x+25))*csgn(I/(5+x)^2)*csgn(I*((x^3-11*x^2+(8*exp(x)-185)*x-exp(2*x)+40*exp(x)-525)*exp(2)+x^2+10*x+25))+2*I*csgn(I/(5+x)^2*((x^3-11*x^2+(8*exp(x)-185)*x-exp(2*x)+40*exp(x)-525)*exp(2)+x^2+10*x+25))^2*Pi-2*I*Pi+4*ln(5+x)-2*ln((x^3-11*x^2+(8*exp(x)-185)*x-exp(2*x)+40*exp(x)-525)*exp(2)+x^2+10*x+25)+4)^2)","C"
9032,1,31,21,0.050000," ","int((2*x*ln(4*exp(6))-exp(x)+2*x*ln(3)+1)/(ln(4*exp(6))+ln(3)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\frac{x}{6+2 \ln \left(2\right)+\ln \left(3\right)}-\frac{{\mathrm e}^{x}}{6+2 \ln \left(2\right)+\ln \left(3\right)}$&$31$\\ default&$\frac{x +x^{2} \ln \left(3\right)+x^{2} \ln \left(4 \,{\mathrm e}^{6}\right)-{\mathrm e}^{x}}{\ln \left(4 \,{\mathrm e}^{6}\right)+\ln \left(3\right)}$&$33$\\ risch&$\frac{2 x^{2} \ln \left(2\right)}{6+2 \ln \left(2\right)+\ln \left(3\right)}+\frac{x^{2} \ln \left(3\right)}{6+2 \ln \left(2\right)+\ln \left(3\right)}+\frac{6 x^{2}}{6+2 \ln \left(2\right)+\ln \left(3\right)}+\frac{x}{6+2 \ln \left(2\right)+\ln \left(3\right)}-\frac{{\mathrm e}^{x}}{6+2 \ln \left(2\right)+\ln \left(3\right)}$&$76$\\ \hline \end{longtable}"," ",0,"x^2+1/(6+2*ln(2)+ln(3))*x-1/(6+2*ln(2)+ln(3))*exp(x)","A"
9033,1,43,23,0.145000," ","int((200*ln(2)*exp(x)*ln(-exp(exp(x))+2*ln(2))-200*ln(2)*exp(x)^2)*exp(ln(-exp(exp(x))+2*ln(2))^2-2*exp(x)*ln(-exp(exp(x))+2*ln(2))+exp(x)^2)^2/(exp(exp(x))-2*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 \left(-{\mathrm e}^{{\mathrm e}^{x}}+2 \ln \left(2\right)\right)^{-4 \,{\mathrm e}^{x}} {\mathrm e}^{2 \ln \left(-{\mathrm e}^{{\mathrm e}^{x}}+2 \ln \left(2\right)\right)^{2}+2 \,{\mathrm e}^{2 x}}$&$43$\\ \hline \end{longtable}"," ",0,"25*((-exp(exp(x))+2*ln(2))^(-2*exp(x)))^2*exp(2*ln(-exp(exp(x))+2*ln(2))^2+2*exp(2*x))","A"
9034,1,25,25,0.130000," ","int(((-6*ln(5)+16*x-2)*ln(x)^3+(-18*x*ln(5)+48*x^2-6*x)*ln(x)^2+(-18*x^2*ln(5)+48*x^3-6*x^2+18*x)*ln(x)-6*x^3*ln(5)+16*x^4-2*x^3-18*x)/(9*ln(x)^3+27*x*ln(x)^2+27*x^2*ln(x)+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x \ln \left(5\right)}{3}+\frac{8 x^{2}}{9}-\frac{2 x}{9}+\frac{x^{2}}{\left(x +\ln \left(x \right)\right)^{2}}$&$25$\\ default&$\frac{-9 \ln \left(x \right)^{2}-18 x \ln \left(x \right)-2 x^{3}+8 x^{4}-2 x \ln \left(x \right)^{2}+16 x^{3} \ln \left(x \right)-4 x^{2} \ln \left(x \right)+8 x^{2} \ln \left(x \right)^{2}}{9 \left(x +\ln \left(x \right)\right)^{2}}-\frac{2 x \ln \left(5\right)}{3}$&$67$\\ norman&$\frac{-\ln \left(x \right)^{2}+\left(-\frac{2}{9}-\frac{2 \ln \left(5\right)}{3}\right) x^{3}-2 x \ln \left(x \right)+\left(-\frac{4}{9}-\frac{4 \ln \left(5\right)}{3}\right) x^{2} \ln \left(x \right)+\left(-\frac{2}{9}-\frac{2 \ln \left(5\right)}{3}\right) x \ln \left(x \right)^{2}+\frac{8 x^{4}}{9}+\frac{8 x^{2} \ln \left(x \right)^{2}}{9}+\frac{16 x^{3} \ln \left(x \right)}{9}}{\left(x +\ln \left(x \right)\right)^{2}}$&$75$\\ \hline \end{longtable}"," ",0,"-2/3*x*ln(5)+8/9*x^2-2/9*x+x^2/(x+ln(x))^2","A"
9035,1,15,16,0.037000," ","int((-4*x*exp(4*x-8)*ln(x)-exp(4*x-8)-x)/(x*exp(4*x-8)*ln(x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x +\ln \left(x \right) {\mathrm e}^{4 x -8}\right)$&$15$\\ risch&$-4 x -\ln \left(\ln \left(x \right)+x \,{\mathrm e}^{-4 x +8}\right)$&$19$\\ \hline \end{longtable}"," ",0,"-ln(x+ln(x)*exp(4*x-8))","A"
9036,1,16,12,0.497000," ","int((-ln(13)+3-2*x)/(x*ln(13)+x^2-3*x)/ln(-1/3*x*ln(13)-1/3*x^2+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1}{\ln \left(-\frac{x \ln \left(13\right)}{3}-\frac{x^{2}}{3}+x \right)}$&$16$\\ risch&$\frac{1}{\ln \left(-\frac{x \ln \left(13\right)}{3}-\frac{x^{2}}{3}+x \right)}$&$16$\\ \hline \end{longtable}"," ",0,"1/ln(-1/3*x*ln(13)-1/3*x^2+x)","A"
9037,0,0,26,0.098000," ","int(((4*x^3*ln(2*x^2)+4*x^3*exp(1)-4*x^4)*ln(-ln(2*x^2)+x-exp(1))^2+(-2*x^4+4*x^3)*ln(-ln(2*x^2)+x-exp(1)))*exp(x^4*ln(-ln(2*x^2)+x-exp(1))^2/ln(2)^2)/(ln(2)^2*ln(2*x^2)+(exp(1)-x)*ln(2)^2),x)","\[\int \frac{\left(\left(4 x^{3} \ln \left(2 x^{2}\right)+4 x^{3} {\mathrm e}-4 x^{4}\right) \ln \left(-\ln \left(2 x^{2}\right)+x -{\mathrm e}\right)^{2}+\left(-2 x^{4}+4 x^{3}\right) \ln \left(-\ln \left(2 x^{2}\right)+x -{\mathrm e}\right)\right) {\mathrm e}^{\frac{x^{4} \ln \left(-\ln \left(2 x^{2}\right)+x -{\mathrm e}\right)^{2}}{\ln \left(2\right)^{2}}}}{\ln \left(2\right)^{2} \ln \left(2 x^{2}\right)+\left({\mathrm e}-x \right) \ln \left(2\right)^{2}}\, dx\]"," ",0,"int(((4*x^3*ln(2*x^2)+4*x^3*exp(1)-4*x^4)*ln(-ln(2*x^2)+x-exp(1))^2+(-2*x^4+4*x^3)*ln(-ln(2*x^2)+x-exp(1)))*exp(x^4*ln(-ln(2*x^2)+x-exp(1))^2/ln(2)^2)/(ln(2)^2*ln(2*x^2)+(exp(1)-x)*ln(2)^2),x)","F"
9038,1,27,22,0.106000," ","int(((3*x^5-66*x^4+16*x^3-352*x^2+33*x-726)*ln(22-x)+3*x^5+20*x^3+33*x)/(3*x^6-66*x^5+20*x^4-440*x^3+33*x^2-726*x)/ln(22-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x^{2}+3\right)+\ln \left(x \right)+\ln \left(\ln \left(22-x \right)\right)+\ln \left(3 x^{2}+11\right)$&$27$\\ risch&$-\ln \left(x^{2}+3\right)+\ln \left(3 x^{3}+11 x \right)+\ln \left(\ln \left(22-x \right)\right)$&$27$\\ derivativedivides&$\ln \left(\ln \left(22-x \right)\right)-\ln \left(\left(22-x \right)^{2}-481+44 x \right)+\ln \left(3 \left(22-x \right)^{2}-1441+132 x \right)+\ln \left(-x \right)$&$43$\\ default&$\ln \left(\ln \left(22-x \right)\right)-\ln \left(\left(22-x \right)^{2}-481+44 x \right)+\ln \left(3 \left(22-x \right)^{2}-1441+132 x \right)+\ln \left(-x \right)$&$43$\\ \hline \end{longtable}"," ",0,"-ln(x^2+3)+ln(x)+ln(ln(22-x))+ln(3*x^2+11)","A"
9039,1,31,27,0.072000," ","int(((8*ln(2)^2-8*x*ln(2)+2*x^2)*ln(x)^2+((2*(-6*x^4-24*x^3)*ln(2)+6*x^5+18*x^4)*exp(x)+16*x*ln(2)^2-8*x^2*ln(2))*ln(x)+(2*(-6*x^5-18*x^4+6*x^3)*ln(2)-6*x^4)*exp(x)+8*x^2*ln(2)^2)/((12*ln(2)^2-12*x*ln(2)+3*x^2)*ln(x)^2+(24*x*ln(2)^2-12*x^2*ln(2))*ln(x)+12*x^2*ln(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{3}-\frac{2 x^{4} {\mathrm e}^{x}}{2 \ln \left(2\right) \ln \left(x \right)-x \ln \left(x \right)+2 x \ln \left(2\right)}$&$31$\\ \hline \end{longtable}"," ",0,"2/3*x-2*x^4*exp(x)/(2*ln(2)*ln(x)-x*ln(x)+2*x*ln(2))","A"
9040,1,33,23,0.071000," ","int(((9*x-9)*ln(x)+(9*x-9)*ln(3)^2+(6*x^2+18*x-18)*ln(3)+x^3+7*x^2+54*x-45)/(9*x*ln(x)+9*x*ln(3)^2+(6*x^2+18*x)*ln(3)+x^3+6*x^2+54*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\ln \left(x \right)+\ln \left(\ln \left(3\right)^{2}+\frac{2 x \ln \left(3\right)}{3}+\frac{x^{2}}{9}+2 \ln \left(3\right)+\frac{2 x}{3}+\ln \left(x \right)+6\right)$&$33$\\ norman&$x -\ln \left(x \right)+\ln \left(9 \ln \left(3\right)^{2}+6 x \ln \left(3\right)+x^{2}+9 \ln \left(x \right)+18 \ln \left(3\right)+6 x +54\right)$&$35$\\ \hline \end{longtable}"," ",0,"x-ln(x)+ln(ln(3)^2+2/3*x*ln(3)+1/9*x^2+2*ln(3)+2/3*x+ln(x)+6)","A"
9041,1,48,23,0.434000," ","int((52*x^7*exp(3)^4+(208*x^7+160*x^6)*exp(3)^3+(312*x^7+480*x^6+96*x^5)*exp(3)^2+(208*x^7+480*x^6+192*x^5)*exp(3)+52*x^7+160*x^6+96*x^5)/(169*x^4*exp(3)^4+(676*x^4+832*x^3)*exp(3)^3+(1014*x^4+2496*x^3+1440*x^2)*exp(3)^2+(676*x^4+2496*x^3+2880*x^2+1024*x)*exp(3)+169*x^4+832*x^3+1440*x^2+1024*x+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{6} \left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right)}{13 x^{2} {\mathrm e}^{6}+26 x^{2} {\mathrm e}^{3}+32 x \,{\mathrm e}^{3}+13 x^{2}+32 x +16}$&$48$\\ norman&$\frac{x^{6} \left({\mathrm e}^{6}+2 \,{\mathrm e}^{3}+1\right)}{13 x^{2} {\mathrm e}^{6}+26 x^{2} {\mathrm e}^{3}+32 x \,{\mathrm e}^{3}+13 x^{2}+32 x +16}$&$48$\\ risch&$\frac{6591 \,{\mathrm e}^{6} x^{4}}{\left(169 \,{\mathrm e}^{3}+169\right) \left(13 \,{\mathrm e}^{3}+13\right)^{2}}+\frac{2197 x^{4} {\mathrm e}^{9}}{\left(169 \,{\mathrm e}^{3}+169\right) \left(13 \,{\mathrm e}^{3}+13\right)^{2}}+\frac{6591 \,{\mathrm e}^{3} x^{4}}{\left(169 \,{\mathrm e}^{3}+169\right) \left(13 \,{\mathrm e}^{3}+13\right)^{2}}-\frac{5408 x^{3} {\mathrm e}^{6}}{\left(169 \,{\mathrm e}^{3}+169\right) \left(13 \,{\mathrm e}^{3}+13\right)^{2}}-\frac{10816 \,{\mathrm e}^{3} x^{3}}{\left(169 \,{\mathrm e}^{3}+169\right) \left(13 \,{\mathrm e}^{3}+13\right)^{2}}+\frac{2197 x^{4}}{\left(169 \,{\mathrm e}^{3}+169\right) \left(13 \,{\mathrm e}^{3}+13\right)^{2}}+\frac{10608 x^{2} {\mathrm e}^{3}}{\left(169 \,{\mathrm e}^{3}+169\right) \left(13 \,{\mathrm e}^{3}+13\right)^{2}}-\frac{5408 x^{3}}{\left(169 \,{\mathrm e}^{3}+169\right) \left(13 \,{\mathrm e}^{3}+13\right)^{2}}+\frac{10608 x^{2}}{\left(169 \,{\mathrm e}^{3}+169\right) \left(13 \,{\mathrm e}^{3}+13\right)^{2}}-\frac{19456 x}{\left(169 \,{\mathrm e}^{3}+169\right) \left(13 \,{\mathrm e}^{3}+13\right)^{2}}+\frac{-\frac{10444800 x}{169}-\frac{7245824}{169 \left({\mathrm e}^{3}+1\right)}}{\left(169 \,{\mathrm e}^{3}+169\right) \left(13 \,{\mathrm e}^{3}+13\right)^{2} \left(x^{2} {\mathrm e}^{6}+2 x^{2} {\mathrm e}^{3}+\frac{32 x \,{\mathrm e}^{3}}{13}+x^{2}+\frac{32 x}{13}+\frac{16}{13}\right)}$&$279$\\ default&$\text{Expression too large to display}$&$2908$\\ \hline \end{longtable}"," ",0,"x^6*(exp(3)^2+2*exp(3)+1)/(13*x^2*exp(3)^2+26*x^2*exp(3)+32*x*exp(3)+13*x^2+32*x+16)","B"
9042,1,23,25,0.050000," ","int((800*x*exp(x)^2+(50*x^3+90*x^2-2400*x)*exp(x)+3*x^3-135*x^2+1800*x)/(800*exp(x)^2+(240*x-2400)*exp(x)+18*x^2-360*x+1800),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{2}-\frac{5 x^{3}}{4 \left(-30+20 \,{\mathrm e}^{x}+3 x \right)}$&$23$\\ norman&$\frac{-15 x^{2}+\frac{x^{3}}{4}+10 \,{\mathrm e}^{x} x^{2}}{-30+20 \,{\mathrm e}^{x}+3 x}$&$31$\\ \hline \end{longtable}"," ",0,"1/2*x^2-5/4*x^3/(-30+20*exp(x)+3*x)","A"
9043,1,30,25,0.562000," ","int(((-5*x^2+10*x-5)*exp(x+exp(2))+10*x^2-20*x-75)/((x^2-2*x+1)*exp(x+exp(2))^2+(-4*x^3-26*x^2+30*x)*exp(x+exp(2))+4*x^4+60*x^3+225*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \left(x -1\right)}{2 x^{2}-{\mathrm e}^{x +{\mathrm e}^{2}} x +15 x +{\mathrm e}^{x +{\mathrm e}^{2}}}$&$30$\\ norman&$\frac{-5 x +5}{2 x^{2}-{\mathrm e}^{x +{\mathrm e}^{2}} x +15 x +{\mathrm e}^{x +{\mathrm e}^{2}}}$&$31$\\ \hline \end{longtable}"," ",0,"-5*(x-1)/(2*x^2-exp(x+exp(2))*x+15*x+exp(x+exp(2)))","A"
9044,1,266,27,0.890000," ","int(((20*x*ln(x^2)^2+(40*x-10240)*ln(x^2-512*x+65536)*ln(x^2))*exp(ln(x^2-512*x+65536)*ln(x^2)^2)^2-5*x^2+1280*x)*exp((3*exp(ln(x^2-512*x+65536)*ln(x^2)^2)^2-3*x-5)/(exp(ln(x^2-512*x+65536)*ln(x^2)^2)^2-x))/((x^2-256*x)*exp(ln(x^2-512*x+65536)*ln(x^2)^2)^4+(-2*x^3+512*x^2)*exp(ln(x^2-512*x+65536)*ln(x^2)^2)^2+x^4-256*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-3 \,{\mathrm e}^{-\frac{\left(i \pi  \mathrm{csgn}\left(i \left(x -256\right)^{2}\right)^{3}-2 i \pi  \mathrm{csgn}\left(i \left(x -256\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(x -256\right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(x -256\right)^{2}\right) \mathrm{csgn}\left(i \left(x -256\right)\right)^{2}-4 \ln \left(x -256\right)\right) \left(-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 \ln \left(x \right)\right)^{2}}{4}}+3 x +5}{-{\mathrm e}^{-\frac{\left(i \pi  \mathrm{csgn}\left(i \left(x -256\right)^{2}\right)^{3}-2 i \pi  \mathrm{csgn}\left(i \left(x -256\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(x -256\right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(x -256\right)^{2}\right) \mathrm{csgn}\left(i \left(x -256\right)\right)^{2}-4 \ln \left(x -256\right)\right) \left(-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 \ln \left(x \right)\right)^{2}}{4}}+x}}$&$266$\\ \hline \end{longtable}"," ",0,"exp((-3*exp(-1/4*(I*Pi*csgn(I*(x-256)^2)^3-2*I*Pi*csgn(I*(x-256)^2)^2*csgn(I*(x-256))+I*Pi*csgn(I*(x-256)^2)*csgn(I*(x-256))^2-4*ln(x-256))*(-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3+4*ln(x))^2)+3*x+5)/(-exp(-1/4*(I*Pi*csgn(I*(x-256)^2)^3-2*I*Pi*csgn(I*(x-256)^2)^2*csgn(I*(x-256))+I*Pi*csgn(I*(x-256)^2)*csgn(I*(x-256))^2-4*ln(x-256))*(-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3+4*ln(x))^2)+x))","C"
9045,1,18,18,0.048000," ","int((-48*ln(3)-x^3+6*x^2)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)-\frac{6}{x}+\frac{16 \ln \left(3\right)}{x^{3}}$&$18$\\ norman&$\frac{-6 x^{2}+16 \ln \left(3\right)}{x^{3}}-\ln \left(x \right)$&$20$\\ risch&$\frac{-6 x^{2}+16 \ln \left(3\right)}{x^{3}}-\ln \left(x \right)$&$20$\\ \hline \end{longtable}"," ",0,"-ln(x)-6/x+16*ln(3)/x^3","A"
9046,1,25,22,0.333000," ","int((-27*ln(ln(3))-18*x^3*exp(x^2)+(-27*x+27)*exp(3+x))/(9*ln(ln(3))^2+(-6*exp(x^2)*x-18*exp(3+x))*ln(ln(3))+x^2*exp(x^2)^2+6*x*exp(3+x)*exp(x^2)+9*exp(3+x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{9 x}{-{\mathrm e}^{x^{2}} x +3 \ln \left(\ln \left(3\right)\right)-3 \,{\mathrm e}^{3+x}}$&$25$\\ \hline \end{longtable}"," ",0,"-9*x/(-exp(x^2)*x+3*ln(ln(3))-3*exp(3+x))","A"
9047,1,19,18,0.506000," ","int(((ln(48)-3-x)*ln(-5/(ln(48)-3-x))+ln(48)-x-2)/(((ln(48)-3-x)*ln(-5/(ln(48)-3-x))+ln(48)-3-x)*ln(ln(-5/(ln(48)-3-x))+1)+(x*ln(48)-x^2-3*x)*ln(-5/(ln(48)-3-x))+x*ln(48)-x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(\ln \left(-\frac{5}{\ln \left(48\right)-3-x}\right)+1\right)+x \right)$&$19$\\ \hline \end{longtable}"," ",0,"ln(ln(ln(-5/(ln(48)-3-x))+1)+x)","A"
9048,1,24,24,0.037000," ","int(1/5*(-2*x+2)*exp(3)*exp(x^2-2*x+1)+1/5*exp(3)-2*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+x -\frac{{\mathrm e}^{x^{2}-2 x +4}}{5}+\frac{x \,{\mathrm e}^{3}}{5}$&$24$\\ default&$-x^{2}+x -\frac{{\mathrm e}^{3} {\mathrm e}^{x^{2}-2 x +1}}{5}+\frac{x \,{\mathrm e}^{3}}{5}$&$26$\\ norman&$\left(\frac{{\mathrm e}^{3}}{5}+1\right) x -x^{2}-\frac{{\mathrm e}^{3} {\mathrm e}^{x^{2}-2 x +1}}{5}$&$28$\\ \hline \end{longtable}"," ",0,"-x^2+x-1/5*exp(x^2-2*x+4)+1/5*x*exp(3)","A"
9049,1,21,21,0.049000," ","int(((-40*x^4-200*x^3+60*x^2+200*x)*exp(x^2)+100*x^4)/(exp(x^2)^2+10*x^2*exp(x^2)+25*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{20 x^{2} \left(5+x \right)}{5 x^{2}+{\mathrm e}^{x^{2}}}$&$21$\\ norman&$\frac{20 x^{3}+100 x^{2}}{5 x^{2}+{\mathrm e}^{x^{2}}}$&$25$\\ \hline \end{longtable}"," ",0,"20*x^2*(5+x)/(5*x^2+exp(x^2))","A"
9050,1,28,22,0.033000," ","int((500*ln(x)^4-6240*ln(x)^3-1908*ln(x)^2-128*ln(x)-x)/(100*x*ln(x)^5-1560*x*ln(x)^4-636*x*ln(x)^3-64*x*ln(x)^2-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(-100 \ln \left(x \right)^{5}+1560 \ln \left(x \right)^{4}+636 \ln \left(x \right)^{3}+64 \ln \left(x \right)^{2}+x \right)$&$28$\\ risch&$\ln \left(\ln \left(x \right)^{5}-\frac{78 \ln \left(x \right)^{4}}{5}-\frac{159 \ln \left(x \right)^{3}}{25}-\frac{16 \ln \left(x \right)^{2}}{25}-\frac{x}{100}\right)$&$28$\\ \hline \end{longtable}"," ",0,"ln(-100*ln(x)^5+1560*ln(x)^4+636*ln(x)^3+64*ln(x)^2+x)","A"
9051,1,16,15,0.056000," ","int(((exp(2)-x-17)*exp(x)-1)*exp(exp(x))/ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left({\mathrm e}^{2}-x -17\right) {\mathrm e}^{{\mathrm e}^{x}}}{\ln \left(3\right)}$&$16$\\ norman&$\frac{\left({\mathrm e}^{2}-17\right) {\mathrm e}^{{\mathrm e}^{x}}}{\ln \left(3\right)}-\frac{x \,{\mathrm e}^{{\mathrm e}^{x}}}{\ln \left(3\right)}$&$24$\\ \hline \end{longtable}"," ",0,"(exp(2)-x-17)/ln(3)*exp(exp(x))","A"
9052,1,17,19,0.150000," ","int((-4*x^4*exp(1)*exp(ln(5)^2)-4*x^3)*exp(x*exp(1)*exp(ln(5)^2))^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{4 x \,{\mathrm e}^{1+\ln \left(5\right)^{2}}} x^{4}$&$17$\\ gosper&$-{\mathrm e}^{4 x \,{\mathrm e}^{1+\ln \left(5\right)^{2}}} x^{4}$&$18$\\ derivativedivides&$-{\mathrm e}^{4 x \,{\mathrm e}^{1+\ln \left(5\right)^{2}}} x^{4}$&$18$\\ default&$-{\mathrm e}^{4 x \,{\mathrm e}^{1+\ln \left(5\right)^{2}}} x^{4}$&$18$\\ norman&$-{\mathrm e}^{4 x \,{\mathrm e}^{1+\ln \left(5\right)^{2}}} x^{4}$&$18$\\ meijerg&$\frac{{\mathrm e}^{-4-4 \ln \left(5\right)^{2}} \left(24-\frac{{\mathrm e}^{4 x \,{\mathrm e}^{1+\ln \left(5\right)^{2}}} \left(1280 x^{4} {\mathrm e}^{4+4 \ln \left(5\right)^{2}}-1280 x^{3} {\mathrm e}^{3+3 \ln \left(5\right)^{2}}+960 x^{2} {\mathrm e}^{2+2 \ln \left(5\right)^{2}}-480 x \,{\mathrm e}^{1+\ln \left(5\right)^{2}}+120\right)}{5}\right)}{256}-\frac{{\mathrm e}^{-4-4 \ln \left(5\right)^{2}} \left(6-\frac{{\mathrm e}^{4 x \,{\mathrm e}^{1+\ln \left(5\right)^{2}}} \left(-256 x^{3} {\mathrm e}^{3+3 \ln \left(5\right)^{2}}+192 x^{2} {\mathrm e}^{2+2 \ln \left(5\right)^{2}}-96 x \,{\mathrm e}^{1+\ln \left(5\right)^{2}}+24\right)}{4}\right)}{64}$&$148$\\ \hline \end{longtable}"," ",0,"-exp(4*x*exp(1+ln(5)^2))*x^4","A"
9053,1,25,14,0.043000," ","int(1/4*(2*x^2*ln(x)+8*x^2*exp(2)+12*x^3+x^2+20*x+5)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2} \ln \left(x \right)}{4}+x^{2} {\mathrm e}^{2}+x^{3}+5 x +\frac{5 \ln \left(x \right)}{4}$&$25$\\ norman&$\frac{x^{2} \ln \left(x \right)}{4}+x^{2} {\mathrm e}^{2}+x^{3}+5 x +\frac{5 \ln \left(x \right)}{4}$&$25$\\ risch&$\frac{x^{2} \ln \left(x \right)}{4}+x^{2} {\mathrm e}^{2}+x^{3}+5 x +\frac{5 \ln \left(x \right)}{4}$&$25$\\ \hline \end{longtable}"," ",0,"1/4*x^2*ln(x)+x^2*exp(2)+x^3+5*x+5/4*ln(x)","A"
9054,1,8,17,0.013000," ","int(5+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{2}+5 x$&$8$\\ default&$x^{2}+5 x$&$8$\\ norman&$x^{2}+5 x$&$8$\\ risch&$x^{2}+5 x$&$8$\\ \hline \end{longtable}"," ",0,"x^2+5*x","A"
9055,1,36,32,0.545000," ","int((((2*x^4+14*x^3+8*x^2-32*x)*exp((-3*x^2-10*x)/(4+x))-x^6-12*x^5-48*x^4-64*x^3)*exp(x)-3*x^4-10*x^3+64*x^2+224*x)/(x^2+8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x} x^{4}-x^{2} {\mathrm e}^{-\frac{2 \left(3+x \right) x}{4+x}}-x^{3}+7 x^{2}$&$36$\\ norman&$\frac{28 x^{2}+3 x^{3}-x^{4}-x^{5} {\mathrm e}^{x}-4 \,{\mathrm e}^{x} x^{4}-4 \,{\mathrm e}^{x} x^{2} {\mathrm e}^{\frac{-3 x^{2}-10 x}{4+x}}-{\mathrm e}^{x} x^{3} {\mathrm e}^{\frac{-3 x^{2}-10 x}{4+x}}}{4+x}$&$83$\\ \hline \end{longtable}"," ",0,"-exp(x)*x^4-x^2*exp(-2*(3+x)*x/(4+x))-x^3+7*x^2","A"
9056,1,30,21,0.070000," ","int(((52*x^2+78*x)*exp(x)^2+(52*x^3+208*x^2)*exp(x)+26*ln(2)+130*x^3)/(12*x^5*exp(x)^4+48*x^6*exp(x)^3+(12*x^4*ln(2)+72*x^7)*exp(x)^2+(24*x^5*ln(2)+48*x^8)*exp(x)+3*x^3*ln(2)^2+12*x^6*ln(2)+12*x^9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{13}{3 x^{2} \left(2 x \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x} x^{2}+2 x^{3}+\ln \left(2\right)\right)}$&$30$\\ \hline \end{longtable}"," ",0,"-13/3/x^2/(2*x*exp(2*x)+4*exp(x)*x^2+2*x^3+ln(2))","A"
9057,1,14,15,0.099000," ","int((-3*ln(5)^2+21-3*x)*exp(x)/(ln(5)^6+(3*x-15)*ln(5)^4+(3*x^2-30*x+75)*ln(5)^2+x^3-15*x^2+75*x-125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{3 \,{\mathrm e}^{x}}{\left(\ln \left(5\right)^{2}-5+x \right)^{2}}$&$14$\\ norman&$-\frac{3 \,{\mathrm e}^{x}}{\left(\ln \left(5\right)^{2}-5+x \right)^{2}}$&$14$\\ risch&$-\frac{3 \,{\mathrm e}^{x}}{\left(\ln \left(5\right)^{2}-5+x \right)^{2}}$&$14$\\ gosper&$-\frac{3 \,{\mathrm e}^{x}}{\ln \left(5\right)^{4}+2 x \ln \left(5\right)^{2}-10 \ln \left(5\right)^{2}+x^{2}-10 x +25}$&$32$\\ \hline \end{longtable}"," ",0,"-3/(ln(5)^2-5+x)^2*exp(x)","A"
9058,1,12,20,0.022000," ","int((-4*x*exp(x)*ln(x)+(-4*x-4)*exp(x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-4 \,{\mathrm e}^{x} \ln \left(x \right)-4 \,{\mathrm e}^{x}$&$12$\\ risch&$-4 \,{\mathrm e}^{x} \ln \left(x \right)-4 \,{\mathrm e}^{x}$&$12$\\ \hline \end{longtable}"," ",0,"-4*exp(x)*ln(x)-4*exp(x)","A"
9059,1,16,23,0.113000," ","int(1/2*(-2*x-7)*exp(x^2+7*x+16)*exp(1/2/exp(exp(x^2+7*x+16)+2*ln(2)))/exp(exp(x^2+7*x+16)+2*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{-{\mathrm e}^{x^{2}+7 x +16}}}{8}}$&$16$\\ norman&${\mathrm e}^{\frac{{\mathrm e}^{-{\mathrm e}^{x^{2}+7 x +16}}}{8}}$&$21$\\ \hline \end{longtable}"," ",0,"exp(1/8*exp(-exp(x^2+7*x+16)))","A"
9060,1,17,16,0.094000," ","int(8*x^4*(2*ln(2)+I*Pi)*exp(8/5*x^5*(2*ln(2)+I*Pi))*exp(exp(8/5*x^5*(2*ln(2)+I*Pi))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{{\mathrm e}^{\frac{8 x^{5} \left(2 \ln \left(2\right)+i \pi \right)}{5}}}$&$17$\\ norman&${\mathrm e}^{{\mathrm e}^{\frac{8 x^{5} \left(2 \ln \left(2\right)+i \pi \right)}{5}}}$&$17$\\ default&${\mathrm e}^{{\mathrm e}^{\frac{8 x^{5} \left(2 \ln \left(2\right)+i \pi \right)}{5}}}$&$39$\\ risch&$\frac{{\mathrm e}^{{\mathrm e}^{\frac{8 x^{5} \left(2 \ln \left(2\right)+i \pi \right)}{5}}} \pi}{-2 i \ln \left(2\right)+\pi}-\frac{2 i {\mathrm e}^{{\mathrm e}^{\frac{8 x^{5} \left(2 \ln \left(2\right)+i \pi \right)}{5}}} \ln \left(2\right)}{-2 i \ln \left(2\right)+\pi}$&$59$\\ \hline \end{longtable}"," ",0,"exp(exp(8/5*x^5*(2*ln(2)+I*Pi)))","A"
9061,1,33,25,0.152000," ","int(((324*exp(1/9*x)-20*x^2)*exp(((-x-81)*exp(1/9*x)+45*x)/x/exp(1/9*x))+4*x^2*exp(1/9*x))/x^2/exp(1/9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x +4 \,{\mathrm e}^{-\frac{\left(x \,{\mathrm e}^{\frac{x}{9}}+81 \,{\mathrm e}^{\frac{x}{9}}-45 x \right) {\mathrm e}^{-\frac{x}{9}}}{x}}$&$33$\\ norman&$\frac{\left(4 x^{2} {\mathrm e}^{\frac{x}{9}}+4 x \,{\mathrm e}^{\frac{x}{9}} {\mathrm e}^{\frac{\left(\left(-x -81\right) {\mathrm e}^{\frac{x}{9}}+45 x \right) {\mathrm e}^{-\frac{x}{9}}}{x}}\right) {\mathrm e}^{-\frac{x}{9}}}{x}$&$53$\\ \hline \end{longtable}"," ",0,"4*x+4*exp(-(x*exp(1/9*x)+81*exp(1/9*x)-45*x)*exp(-1/9*x)/x)","A"
9062,1,15,14,0.038000," ","int(((exp(x)-ln(3)-x)*ln(exp(x)-ln(3)-x)*ln(ln(exp(x)-ln(3)-x))+exp(x)*x-x)/(exp(x)-ln(3)-x)/ln(exp(x)-ln(3)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left({\mathrm e}^{x}-\ln \left(3\right)-x \right)\right) x$&$15$\\ \hline \end{longtable}"," ",0,"ln(ln(exp(x)-ln(3)-x))*x","A"
9063,1,27,23,0.123000," ","int((-5*exp(x)-20971520*x^3+55050240*x^2-48168960*x+14049280)/(exp(x)^2+(2097152*x^4-7340032*x^3+9633792*x^2-5619712*x+1229312)*exp(x)+1099511627776*x^8-7696581394432*x^7+23570780520448*x^6-41248865910784*x^5+45115947089920*x^4-31581162962944*x^3+13816758796288*x^2-3454189699072*x+377801998336),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5}{1048576 x^{4}-3670016 x^{3}+4816896 x^{2}+{\mathrm e}^{x}-2809856 x +614656}$&$27$\\ risch&$\frac{5}{1048576 x^{4}-3670016 x^{3}+4816896 x^{2}+{\mathrm e}^{x}-2809856 x +614656}$&$27$\\ \hline \end{longtable}"," ",0,"5/(1048576*x^4-3670016*x^3+4816896*x^2+exp(x)-2809856*x+614656)","A"
9064,1,62,25,2.846000," ","int((-ln(x)^2+(8*ln(2/5)+8*I*Pi+1)*ln(x)-16*(ln(2/5)+I*Pi)^2-4*ln(2/5)-4*I*Pi-1)*exp(((4+x)*ln(x)+(-16-4*x)*(ln(2/5)+I*Pi)-x)/(ln(x)-4*ln(2/5)-4*I*Pi))/(ln(x)^2-8*(ln(2/5)+I*Pi)*ln(x)+16*(ln(2/5)+I*Pi)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{4 i \pi  x -x \ln \left(x \right)+16 i \pi -4 x \ln \left(5\right)+4 x \ln \left(2\right)-4 \ln \left(x \right)-16 \ln \left(5\right)+16 \ln \left(2\right)+x}{-4 \ln \left(5\right)+4 \ln \left(2\right)+4 i \pi -\ln \left(x \right)}}$&$62$\\ norman&$\frac{\left(-16 \pi^{2}-16 \ln \left(5\right)^{2}+32 \ln \left(2\right) \ln \left(5\right)-16 \ln \left(2\right)^{2}\right) {\mathrm e}^{\frac{\left(4+x \right) \ln \left(x \right)+\left(-16-4 x \right) \left(\ln \left(\frac{2}{5}\right)+i \pi \right)-x}{\ln \left(x \right)-4 \ln \left(\frac{2}{5}\right)-4 i \pi}}+\left(-8 \ln \left(5\right)+8 \ln \left(2\right)\right) \ln \left(x \right) {\mathrm e}^{\frac{\left(4+x \right) \ln \left(x \right)+\left(-16-4 x \right) \left(\ln \left(\frac{2}{5}\right)+i \pi \right)-x}{\ln \left(x \right)-4 \ln \left(\frac{2}{5}\right)-4 i \pi}}-\ln \left(x \right)^{2} {\mathrm e}^{\frac{\left(4+x \right) \ln \left(x \right)+\left(-16-4 x \right) \left(\ln \left(\frac{2}{5}\right)+i \pi \right)-x}{\ln \left(x \right)-4 \ln \left(\frac{2}{5}\right)-4 i \pi}}}{16 \pi^{2}+16 \ln \left(5\right)^{2}-32 \ln \left(2\right) \ln \left(5\right)+8 \ln \left(5\right) \ln \left(x \right)+16 \ln \left(2\right)^{2}-8 \ln \left(2\right) \ln \left(x \right)+\ln \left(x \right)^{2}}$&$202$\\ \hline \end{longtable}"," ",0,"-exp((4*I*Pi*x-x*ln(x)+16*I*Pi-4*x*ln(5)+4*x*ln(2)-4*ln(x)-16*ln(5)+16*ln(2)+x)/(-4*ln(5)+4*ln(2)+4*I*Pi-ln(x)))","B"
9065,1,23,26,0.087000," ","int(1/2*(((4*x^3+16*x^2)*ln(7)-2*x^2)*exp((-x^2-8*x-16)*ln(7)+2+x)-4*x^2-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x +\frac{1}{2 x}-\left(\frac{1}{7}\right)^{\left(4+x \right)^{2}} {\mathrm e}^{2+x}$&$23$\\ norman&$\frac{\frac{1}{2}-2 x^{2}-x \,{\mathrm e}^{\left(-x^{2}-8 x -16\right) \ln \left(7\right)+2+x}}{x}$&$32$\\ default&$-{\mathrm e}^{-x^{2} \ln \left(7\right)+\left(-8 \ln \left(7\right)+1\right) x -16 \ln \left(7\right)+2}+\frac{\left(-8 \ln \left(7\right)+1\right) \sqrt{\pi}\, {\mathrm e}^{-16 \ln \left(7\right)+2+\frac{\left(-8 \ln \left(7\right)+1\right)^{2}}{4 \ln \left(7\right)}} \erf \left(\sqrt{\ln \left(7\right)}\, x -\frac{-8 \ln \left(7\right)+1}{2 \sqrt{\ln \left(7\right)}}\right)}{2 \sqrt{\ln \left(7\right)}}+4 \sqrt{\ln \left(7\right)}\, \sqrt{\pi}\, {\mathrm e}^{-16 \ln \left(7\right)+2+\frac{\left(-8 \ln \left(7\right)+1\right)^{2}}{4 \ln \left(7\right)}} \erf \left(\sqrt{\ln \left(7\right)}\, x -\frac{-8 \ln \left(7\right)+1}{2 \sqrt{\ln \left(7\right)}}\right)-\frac{\sqrt{\pi}\, {\mathrm e}^{-16 \ln \left(7\right)+2+\frac{\left(-8 \ln \left(7\right)+1\right)^{2}}{4 \ln \left(7\right)}} \erf \left(\sqrt{\ln \left(7\right)}\, x -\frac{-8 \ln \left(7\right)+1}{2 \sqrt{\ln \left(7\right)}}\right)}{2 \sqrt{\ln \left(7\right)}}-2 x +\frac{1}{2 x}$&$190$\\ \hline \end{longtable}"," ",0,"-2*x+1/2/x-(1/7)^((4+x)^2)*exp(2+x)","A"
9066,1,722,32,0.710000," ","int(((-ln(x)^2+x^4*exp(x)^2*ln(x)-6*exp(x)^2*x^4)*ln((ln(x)^2-x^4*exp(x)^2*ln(x)+6*exp(x)^2*x^4)/exp(x)^2/x^4)+(-2*x-4)*ln(x)^2+2*ln(x)-exp(x)^2*x^4)/(x^2*ln(x)^2-x^6*exp(x)^2*ln(x)+6*x^6*exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \ln \left({\mathrm e}^{x}\right)}{x}-\frac{8 \ln \left(x \right)+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{2 x} \left(\ln \left(x \right)-6\right) x^{4}+\ln \left(x \right)^{2}\right) {\mathrm e}^{-2 x}}{x^{4}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{4}}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(-{\mathrm e}^{2 x} \left(\ln \left(x \right)-6\right) x^{4}+\ln \left(x \right)^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{2 x} \left(\ln \left(x \right)-6\right) x^{4}+\ln \left(x \right)^{2}\right) {\mathrm e}^{-2 x}}{x^{4}}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{2 x} \left(\ln \left(x \right)-6\right) x^{4}+\ln \left(x \right)^{2}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(-{\mathrm e}^{2 x} \left(\ln \left(x \right)-6\right) x^{4}+\ln \left(x \right)^{2}\right)\right)^{2}-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(-{\mathrm e}^{2 x} \left(\ln \left(x \right)-6\right) x^{4}+\ln \left(x \right)^{2}\right)\right)^{2}-2 i \pi +i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x}\right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{2 x} \left(\ln \left(x \right)-6\right) x^{4}+\ln \left(x \right)^{2}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(-{\mathrm e}^{2 x} \left(\ln \left(x \right)-6\right) x^{4}+\ln \left(x \right)^{2}\right)\right)-2 \ln \left({\mathrm e}^{2 x} \left(\ln \left(x \right)-6\right) x^{4}-\ln \left(x \right)^{2}\right)+i \pi  \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{2 x} \left(\ln \left(x \right)-6\right) x^{4}+\ln \left(x \right)^{2}\right) {\mathrm e}^{-2 x}}{x^{4}}\right)^{3}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(-{\mathrm e}^{2 x} \left(\ln \left(x \right)-6\right) x^{4}+\ln \left(x \right)^{2}\right)\right)^{3}-i \pi  \mathrm{csgn}\left(i x^{4}\right)^{3}+2 i \pi  \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{2 x} \left(\ln \left(x \right)-6\right) x^{4}+\ln \left(x \right)^{2}\right) {\mathrm e}^{-2 x}}{x^{4}}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-2 x} \left(-{\mathrm e}^{2 x} \left(\ln \left(x \right)-6\right) x^{4}+\ln \left(x \right)^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{2 x} \left(\ln \left(x \right)-6\right) x^{4}+\ln \left(x \right)^{2}\right) {\mathrm e}^{-2 x}}{x^{4}}\right) \mathrm{csgn}\left(\frac{i}{x^{4}}\right)-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2 x}$&$722$\\ \hline \end{longtable}"," ",0,"-2/x*ln(exp(x))-1/2*(-2*I*Pi+8*ln(x)-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2+I*Pi*csgn(I/x^4*(-exp(2*x)*(ln(x)-6)*x^4+ln(x)^2)*exp(-2*x))^3-I*Pi*csgn(I*exp(-2*x)*(-exp(2*x)*(ln(x)-6)*x^4+ln(x)^2))^3+2*I*Pi*csgn(I*exp(x))*csgn(I*exp(2*x))^2-I*Pi*csgn(I*exp(x))^2*csgn(I*exp(2*x))-I*Pi*csgn(I*exp(-2*x))*csgn(I*exp(-2*x)*(-exp(2*x)*(ln(x)-6)*x^4+ln(x)^2))^2-I*Pi*csgn(I/x^4*(-exp(2*x)*(ln(x)-6)*x^4+ln(x)^2)*exp(-2*x))^2*csgn(I/x^4)+I*Pi*csgn(I*x)*csgn(I*x^4)^2+I*Pi*csgn(I*x^3)*csgn(I*x^4)^2+I*Pi*csgn(I*x)*csgn(I*x^3)^2+I*Pi*csgn(I*x^2)*csgn(I*x^3)^2+I*Pi*csgn(I*exp(-2*x)*(-exp(2*x)*(ln(x)-6)*x^4+ln(x)^2))*csgn(I/x^4*(-exp(2*x)*(ln(x)-6)*x^4+ln(x)^2)*exp(-2*x))^2-I*Pi*csgn(I*x^2)^3-I*Pi*csgn(I*x^4)^3+2*I*Pi*csgn(I/x^4*(-exp(2*x)*(ln(x)-6)*x^4+ln(x)^2)*exp(-2*x))^2-2*ln(exp(2*x)*(ln(x)-6)*x^4-ln(x)^2)-I*Pi*csgn(I*x^3)^3-I*Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-I*Pi*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)-I*Pi*csgn(I*exp(2*x))^3+I*Pi*csgn(I*(-exp(2*x)*(ln(x)-6)*x^4+ln(x)^2))*csgn(I*exp(-2*x)*(-exp(2*x)*(ln(x)-6)*x^4+ln(x)^2))^2+I*Pi*csgn(I*exp(-2*x)*(-exp(2*x)*(ln(x)-6)*x^4+ln(x)^2))*csgn(I/x^4*(-exp(2*x)*(ln(x)-6)*x^4+ln(x)^2)*exp(-2*x))*csgn(I/x^4)+I*Pi*csgn(I*exp(-2*x))*csgn(I*(-exp(2*x)*(ln(x)-6)*x^4+ln(x)^2))*csgn(I*exp(-2*x)*(-exp(2*x)*(ln(x)-6)*x^4+ln(x)^2)))/x","C"
9067,1,20,22,0.567000," ","int(((-2*x^2+4*x)*exp(4)-2*x^3-4*x^2+16*x+2)/(x^2-2*x+1)/exp(x^2/(x-1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$2 \left({\mathrm e}^{4}+x +5\right) {\mathrm e}^{-\frac{x^{2}}{x -1}}$&$20$\\ risch&$\left(2 x +2 \,{\mathrm e}^{4}+10\right) {\mathrm e}^{-\frac{x^{2}}{x -1}}$&$22$\\ norman&$\frac{\left(\left(2 \,{\mathrm e}^{4}+8\right) x +2 x^{2}-10-2 \,{\mathrm e}^{4}\right) {\mathrm e}^{-\frac{x^{2}}{x -1}}}{x -1}$&$38$\\ \hline \end{longtable}"," ",0,"2*(exp(4)+x+5)/exp(x^2/(x-1))","A"
9068,1,21,20,0.026000," ","int(((-exp(21)-x-1)*exp((exp(21)+2*x+1)/x)*ln(x)-x*exp((exp(21)+2*x+1)/x))/x^3/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{{\mathrm e}^{21}+2 x +1}{x}}}{x \ln \left(x \right)}$&$21$\\ \hline \end{longtable}"," ",0,"exp((exp(21)+2*x+1)/x)/x/ln(x)","A"
9069,1,8,7,0.026000," ","int((2*exp(x^2)*x+1)/(exp(x^2)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left({\mathrm e}^{x^{2}}+x \right)$&$8$\\ default&$\ln \left({\mathrm e}^{x^{2}}+x \right)$&$8$\\ norman&$\ln \left({\mathrm e}^{x^{2}}+x \right)$&$8$\\ risch&$\ln \left({\mathrm e}^{x^{2}}+x \right)$&$8$\\ \hline \end{longtable}"," ",0,"ln(exp(x^2)+x)","A"
9070,1,22,23,0.055000," ","int(1/2*((-10*x+10)*exp(-exp(x^2)+x)+34*x*exp(2+x)*exp(x^2)-17*exp(2+x))/exp(2+x)/exp(-exp(x^2)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x \,{\mathrm e}^{-x -2}+\frac{17 \,{\mathrm e}^{{\mathrm e}^{x^{2}}-x}}{2}$&$22$\\ norman&$\left(5 \,{\mathrm e}^{-{\mathrm e}^{x^{2}}+x} x +\frac{17 \,{\mathrm e}^{2+x}}{2}\right) {\mathrm e}^{-x -2} {\mathrm e}^{{\mathrm e}^{x^{2}}-x}$&$38$\\ \hline \end{longtable}"," ",0,"5*x*exp(-x-2)+17/2*exp(exp(x^2)-x)","A"
9071,1,3152,31,0.570000," ","int((((4*x^4*ln(3)^4+24*x^3*ln(3)^3+60*x^2*ln(3)^2+56*x*ln(3))*exp(4+x)-4*x^4*exp(16)*ln(3)^4-24*x^3*exp(16)*ln(3)^3-60*x^2*exp(16)*ln(3)^2-56*x*exp(16)*ln(3))*ln(-x*exp(4+x)+x*exp(16))^2+(((2*x^5+2*x^4)*ln(3)^4+(16*x^4+16*x^3)*ln(3)^3+(60*x^3+60*x^2)*ln(3)^2+(112*x^2+112*x)*ln(3)+98*x+98)*exp(4+x)-2*x^4*exp(16)*ln(3)^4-16*x^3*exp(16)*ln(3)^3-60*x^2*exp(16)*ln(3)^2-112*x*exp(16)*ln(3)-98*exp(16))*ln(-x*exp(4+x)+x*exp(16))-x*exp(4+x)+x*exp(16))/(x*exp(4+x)-x*exp(16)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$3152$\\ \hline \end{longtable}"," ",0,"-1568-x+56*x*ln(3)*ln(x)^2+49*ln(x)^2-1/4*Pi^2*ln(3)^4*x^4*csgn(I*x*(exp(16)-exp(4+x)))^6-2*Pi^2*ln(3)^3*x^3*csgn(I*x*(exp(16)-exp(4+x)))^6-15/2*Pi^2*ln(3)^2*x^2*csgn(I*x*(exp(16)-exp(4+x)))^6-14*Pi^2*ln(3)*x*csgn(I*x*(exp(16)-exp(4+x)))^6-49*I*Pi*ln(x)*csgn(I*x*(exp(16)-exp(4+x)))^3-196*I*Pi*csgn(I*x)*csgn(I*x*(exp(16)-exp(4+x)))^2-196*I*Pi*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^2-49*I*Pi*ln(exp(4+x)-exp(16))*csgn(I*x*(exp(16)-exp(4+x)))^3-30*I*Pi*ln(3)^2*x^2*csgn(I*x*(exp(16)-exp(4+x)))^3*ln(x)-49*I*Pi*ln(exp(4+x)-exp(16))*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))-49*I*Pi*ln(x)*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))-56*I*Pi*ln(3)*x*csgn(I*x*(exp(16)-exp(4+x)))^3*ln(x)-I*Pi*ln(3)^4*x^4*csgn(I*x*(exp(16)-exp(4+x)))^3*ln(x)-8*I*Pi*ln(3)^3*x^3*csgn(I*x*(exp(16)-exp(4+x)))^3*ln(x)+4*Pi^2*ln(3)^3*x^3*csgn(I*x)^2*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^3+4*Pi^2*ln(3)^3*x^3*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))^2*csgn(I*x*(exp(16)-exp(4+x)))^3-8*Pi^2*ln(3)^3*x^3*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^4-1/4*Pi^2*ln(3)^4*x^4*csgn(I*x)^2*csgn(I*(exp(16)-exp(4+x)))^2*csgn(I*x*(exp(16)-exp(4+x)))^2-14*Pi^2*ln(3)*x*csgn(I*x)^2*csgn(I*(exp(16)-exp(4+x)))^2*csgn(I*x*(exp(16)-exp(4+x)))^2+28*Pi^2*ln(3)*x*csgn(I*x)^2*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^3+30*ln(3)^2*ln(x)^2*x^2+28*Pi^2*ln(3)*x*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^5+49*I*Pi*ln(x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^2+196*I*Pi*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))+49*I*Pi*ln(exp(4+x)-exp(16))*csgn(I*x)*csgn(I*x*(exp(16)-exp(4+x)))^2+49*I*Pi*ln(exp(4+x)-exp(16))*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^2+49*I*Pi*ln(x)*csgn(I*x)*csgn(I*x*(exp(16)-exp(4+x)))^2-1/4*Pi^2*ln(3)^4*x^4*csgn(I*x)^2*csgn(I*x*(exp(16)-exp(4+x)))^4+1/2*Pi^2*ln(3)^4*x^4*csgn(I*x)*csgn(I*x*(exp(16)-exp(4+x)))^5-1/4*Pi^2*ln(3)^4*x^4*csgn(I*(exp(16)-exp(4+x)))^2*csgn(I*x*(exp(16)-exp(4+x)))^4+1/2*Pi^2*ln(3)^4*x^4*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^5-2*Pi^2*ln(3)^3*x^3*csgn(I*x)^2*csgn(I*x*(exp(16)-exp(4+x)))^4+4*Pi^2*ln(3)^3*x^3*csgn(I*x)*csgn(I*x*(exp(16)-exp(4+x)))^5-2*Pi^2*ln(3)^3*x^3*csgn(I*(exp(16)-exp(4+x)))^2*csgn(I*x*(exp(16)-exp(4+x)))^4+4*Pi^2*ln(3)^3*x^3*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^5-15/2*Pi^2*ln(3)^2*x^2*csgn(I*x)^2*csgn(I*x*(exp(16)-exp(4+x)))^4+15*Pi^2*ln(3)^2*x^2*csgn(I*x)*csgn(I*x*(exp(16)-exp(4+x)))^5-15/2*Pi^2*ln(3)^2*x^2*csgn(I*(exp(16)-exp(4+x)))^2*csgn(I*x*(exp(16)-exp(4+x)))^4+15*Pi^2*ln(3)^2*x^2*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^5-14*Pi^2*ln(3)*x*csgn(I*x)^2*csgn(I*x*(exp(16)-exp(4+x)))^4+28*Pi^2*ln(3)*x*csgn(I*x)*csgn(I*x*(exp(16)-exp(4+x)))^5-14*Pi^2*ln(3)*x*csgn(I*(exp(16)-exp(4+x)))^2*csgn(I*x*(exp(16)-exp(4+x)))^4+392*ln(exp(4+x)-exp(16))+ln(3)^4*x^4*ln(x)^2+8*ln(3)^3*x^3*ln(x)^2+(8*I*Pi*ln(3)^3*x^3*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^2+I*Pi*ln(3)^4*x^4*csgn(I*x)*csgn(I*x*(exp(16)-exp(4+x)))^2-56*I*Pi*ln(3)*x*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))+I*Pi*ln(3)^4*x^4*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^2-I*Pi*ln(3)^4*x^4*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))+30*I*Pi*ln(3)^2*x^2*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^2-30*I*Pi*ln(3)^2*x^2*csgn(I*x*(exp(16)-exp(4+x)))^3-8*I*Pi*ln(3)^3*x^3*csgn(I*x*(exp(16)-exp(4+x)))^3+56*I*Pi*ln(3)*x*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^2+30*I*Pi*ln(3)^2*x^2*csgn(I*x)*csgn(I*x*(exp(16)-exp(4+x)))^2+56*I*Pi*ln(3)*x*csgn(I*x)*csgn(I*x*(exp(16)-exp(4+x)))^2-8*I*Pi*ln(3)^3*x^3*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))+2*ln(3)^4*x^4*ln(x)-I*Pi*ln(3)^4*x^4*csgn(I*x*(exp(16)-exp(4+x)))^3-56*I*Pi*ln(3)*x*csgn(I*x*(exp(16)-exp(4+x)))^3+8*I*Pi*ln(3)^3*x^3*csgn(I*x)*csgn(I*x*(exp(16)-exp(4+x)))^2-30*I*Pi*ln(3)^2*x^2*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))+16*ln(3)^3*x^3*ln(x)+60*x^2*ln(3)^2*ln(x)+112*x*ln(3)*ln(x)+98*ln(x)-392)*ln(exp(16)-exp(4+x))-56*I*Pi*ln(3)*x*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))*ln(x)-8*I*Pi*ln(3)^3*x^3*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))*ln(x)-30*I*Pi*ln(3)^2*x^2*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))*ln(x)-I*Pi*ln(3)^4*x^4*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))*ln(x)+196*I*Pi*csgn(I*x*(exp(16)-exp(4+x)))^3+(x^4*ln(3)^4+8*x^3*ln(3)^3+30*x^2*ln(3)^2+56*x*ln(3)+49)*ln(exp(16)-exp(4+x))^2+28*Pi^2*ln(3)*x*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))^2*csgn(I*x*(exp(16)-exp(4+x)))^3-56*Pi^2*ln(3)*x*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^4+15*Pi^2*ln(3)^2*x^2*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))^2*csgn(I*x*(exp(16)-exp(4+x)))^3-30*Pi^2*ln(3)^2*x^2*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^4+1/2*Pi^2*ln(3)^4*x^4*csgn(I*x)^2*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^3+1/2*Pi^2*ln(3)^4*x^4*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))^2*csgn(I*x*(exp(16)-exp(4+x)))^3-Pi^2*ln(3)^4*x^4*csgn(I*x)*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^4-2*Pi^2*ln(3)^3*x^3*csgn(I*x)^2*csgn(I*(exp(16)-exp(4+x)))^2*csgn(I*x*(exp(16)-exp(4+x)))^2-15/2*Pi^2*ln(3)^2*x^2*csgn(I*x)^2*csgn(I*(exp(16)-exp(4+x)))^2*csgn(I*x*(exp(16)-exp(4+x)))^2+15*Pi^2*ln(3)^2*x^2*csgn(I*x)^2*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^3+8*I*Pi*ln(3)^3*x^3*csgn(I*x)*csgn(I*x*(exp(16)-exp(4+x)))^2*ln(x)+8*I*Pi*ln(3)^3*x^3*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^2*ln(x)+30*I*Pi*ln(3)^2*x^2*csgn(I*x)*csgn(I*x*(exp(16)-exp(4+x)))^2*ln(x)+30*I*Pi*ln(3)^2*x^2*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^2*ln(x)+56*I*Pi*ln(3)*x*csgn(I*x)*csgn(I*x*(exp(16)-exp(4+x)))^2*ln(x)+56*I*Pi*ln(3)*x*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^2*ln(x)+I*Pi*ln(3)^4*x^4*csgn(I*x)*csgn(I*x*(exp(16)-exp(4+x)))^2*ln(x)+I*Pi*ln(3)^4*x^4*csgn(I*(exp(16)-exp(4+x)))*csgn(I*x*(exp(16)-exp(4+x)))^2*ln(x)","C"
9072,1,28,28,0.334000," ","int(((10*x^4+30*x^3+15*x+45)*ln(3+x)+(3*x^3-6*x^2)*ln(2)-x^5-8*x^4+x^3-8*x^2-3*x)/((90*x^3+270*x^2)*ln(2)^2+(60*x^5+180*x^4+60*x^3-540*x)*ln(2)+10*x^7+30*x^6+20*x^5-170*x^3-30*x^2-90*x+270),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{x \ln \left(3+x \right)}{2}+\frac{x^{2}}{10}}{x^{3}+3 x \ln \left(2\right)+x -3}$&$28$\\ risch&$-\frac{x \ln \left(3+x \right)}{2 \left(x^{3}+3 x \ln \left(2\right)+x -3\right)}+\frac{x^{2}}{10 x^{3}+30 x \ln \left(2\right)+10 x -30}$&$40$\\ derivativedivides&$\frac{\ln \left(2\right) \left(3+x \right)^{2}}{10 \left(3 \ln \left(2\right)+11\right) \left(\frac{\left(3+x \right)^{3}}{3}+\left(3+x \right) \ln \left(2\right)-3 \left(3+x \right)^{2}-3 \ln \left(2\right)+17+\frac{28 x}{3}\right)}+\frac{11 \left(3+x \right)^{2}}{30 \left(3 \ln \left(2\right)+11\right) \left(\frac{\left(3+x \right)^{3}}{3}+\left(3+x \right) \ln \left(2\right)-3 \left(3+x \right)^{2}-3 \ln \left(2\right)+17+\frac{28 x}{3}\right)}-\frac{3 \ln \left(2\right) \left(3+x \right)}{5 \left(3 \ln \left(2\right)+11\right) \left(\frac{\left(3+x \right)^{3}}{3}+\left(3+x \right) \ln \left(2\right)-3 \left(3+x \right)^{2}-3 \ln \left(2\right)+17+\frac{28 x}{3}\right)}-\frac{11 \left(3+x \right)}{5 \left(3 \ln \left(2\right)+11\right) \left(\frac{\left(3+x \right)^{3}}{3}+\left(3+x \right) \ln \left(2\right)-3 \left(3+x \right)^{2}-3 \ln \left(2\right)+17+\frac{28 x}{3}\right)}+\frac{9 \ln \left(2\right)}{10 \left(3 \ln \left(2\right)+11\right) \left(\frac{\left(3+x \right)^{3}}{3}+\left(3+x \right) \ln \left(2\right)-3 \left(3+x \right)^{2}-3 \ln \left(2\right)+17+\frac{28 x}{3}\right)}+\frac{33}{10 \left(3 \ln \left(2\right)+11\right) \left(\frac{\left(3+x \right)^{3}}{3}+\left(3+x \right) \ln \left(2\right)-3 \left(3+x \right)^{2}-3 \ln \left(2\right)+17+\frac{28 x}{3}\right)}-\frac{\ln \left(3+x \right)}{2 \left(3 \ln \left(2\right)+11\right)}+\frac{\ln \left(3+x \right) \left(3+x \right) \left(\left(3+x \right)^{2}-10-9 x \right)}{2 \left(\left(3+x \right)^{3}+3 \left(3+x \right) \ln \left(2\right)-9 \left(3+x \right)^{2}-9 \ln \left(2\right)+51+28 x \right) \left(3 \ln \left(2\right)+11\right)}$&$341$\\ default&$\frac{\ln \left(2\right) \left(3+x \right)^{2}}{10 \left(3 \ln \left(2\right)+11\right) \left(\frac{\left(3+x \right)^{3}}{3}+\left(3+x \right) \ln \left(2\right)-3 \left(3+x \right)^{2}-3 \ln \left(2\right)+17+\frac{28 x}{3}\right)}+\frac{11 \left(3+x \right)^{2}}{30 \left(3 \ln \left(2\right)+11\right) \left(\frac{\left(3+x \right)^{3}}{3}+\left(3+x \right) \ln \left(2\right)-3 \left(3+x \right)^{2}-3 \ln \left(2\right)+17+\frac{28 x}{3}\right)}-\frac{3 \ln \left(2\right) \left(3+x \right)}{5 \left(3 \ln \left(2\right)+11\right) \left(\frac{\left(3+x \right)^{3}}{3}+\left(3+x \right) \ln \left(2\right)-3 \left(3+x \right)^{2}-3 \ln \left(2\right)+17+\frac{28 x}{3}\right)}-\frac{11 \left(3+x \right)}{5 \left(3 \ln \left(2\right)+11\right) \left(\frac{\left(3+x \right)^{3}}{3}+\left(3+x \right) \ln \left(2\right)-3 \left(3+x \right)^{2}-3 \ln \left(2\right)+17+\frac{28 x}{3}\right)}+\frac{9 \ln \left(2\right)}{10 \left(3 \ln \left(2\right)+11\right) \left(\frac{\left(3+x \right)^{3}}{3}+\left(3+x \right) \ln \left(2\right)-3 \left(3+x \right)^{2}-3 \ln \left(2\right)+17+\frac{28 x}{3}\right)}+\frac{33}{10 \left(3 \ln \left(2\right)+11\right) \left(\frac{\left(3+x \right)^{3}}{3}+\left(3+x \right) \ln \left(2\right)-3 \left(3+x \right)^{2}-3 \ln \left(2\right)+17+\frac{28 x}{3}\right)}-\frac{\ln \left(3+x \right)}{2 \left(3 \ln \left(2\right)+11\right)}+\frac{\ln \left(3+x \right) \left(3+x \right) \left(\left(3+x \right)^{2}-10-9 x \right)}{2 \left(\left(3+x \right)^{3}+3 \left(3+x \right) \ln \left(2\right)-9 \left(3+x \right)^{2}-9 \ln \left(2\right)+51+28 x \right) \left(3 \ln \left(2\right)+11\right)}$&$341$\\ \hline \end{longtable}"," ",0,"(-1/2*x*ln(3+x)+1/10*x^2)/(x^3+3*x*ln(2)+x-3)","A"
9073,1,5,9,0.020000," ","int((x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\ln \left(x \right)$&$5$\\ norman&$x +\ln \left(x \right)$&$5$\\ risch&$x +\ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"x+ln(x)","A"
9074,1,57,26,0.047000," ","int(1/9*((18*x-18)*exp(x)^2+(-120*x^4-240*x^3+210*x^2-180*x-60)*exp(x)+1600*x^6+2400*x^5-2000*x^4-1600*x^3-350*x-50)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{25}{9}+{\mathrm e}^{2 x}+\frac{350 x}{9}-\frac{1600 x^{3}}{9}-\frac{1000 x^{4}}{9}+\frac{800 x^{5}}{9}+\frac{400 x^{6}}{9}+\frac{70 \,{\mathrm e}^{x} x}{3}-\frac{40 \,{\mathrm e}^{x} x^{2}}{3}-\frac{40 \,{\mathrm e}^{x} x^{3}}{3}+\frac{10 \,{\mathrm e}^{x}}{3}}{x^{2}}$&$57$\\ risch&$\frac{400 x^{4}}{9}+\frac{800 x^{3}}{9}-\frac{1000 x^{2}}{9}-\frac{1600 x}{9}+\frac{350 x +25}{9 x^{2}}+\frac{{\mathrm e}^{2 x}}{x^{2}}-\frac{10 \left(4 x^{3}+4 x^{2}-7 x -1\right) {\mathrm e}^{x}}{3 x^{2}}$&$60$\\ default&$-\frac{1000 x^{2}}{9}-\frac{1600 x}{9}+\frac{25}{9 x^{2}}+\frac{350}{9 x}+\frac{800 x^{3}}{9}+\frac{400 x^{4}}{9}+\frac{{\mathrm e}^{2 x}}{x^{2}}+\frac{10 \,{\mathrm e}^{x}}{3 x^{2}}+\frac{70 \,{\mathrm e}^{x}}{3 x}-\frac{40 \,{\mathrm e}^{x} x}{3}-\frac{40 \,{\mathrm e}^{x}}{3}$&$61$\\ \hline \end{longtable}"," ",0,"(25/9+exp(x)^2+350/9*x-1600/9*x^3-1000/9*x^4+800/9*x^5+400/9*x^6+70/3*exp(x)*x-40/3*exp(x)*x^2-40/3*exp(x)*x^3+10/3*exp(x))/x^2","B"
9075,1,27,23,0.511000," ","int((-16*x*exp(x)^2+(15*x^3*exp(2)+15*x^3+16*x-16)*exp(x)-15*x^2*exp(2)-15*x^2)/(16*x^2*exp(2)+16*x^2)/exp(exp(x)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\frac{{\mathrm e}^{x}}{{\mathrm e}^{2}+1}-\frac{15 x^{2}}{16}\right) {\mathrm e}^{-{\mathrm e}^{x}-1}}{x}$&$27$\\ risch&$-\frac{\left(15 x^{2} {\mathrm e}^{2}+15 x^{2}-16 \,{\mathrm e}^{x}\right) {\mathrm e}^{-{\mathrm e}^{x}-1}}{16 x \left({\mathrm e}^{2}+1\right)}$&$36$\\ \hline \end{longtable}"," ",0,"(1/(exp(2)+1)*exp(x)-15/16*x^2)/x/exp(exp(x)+1)","A"
9076,1,23,23,0.119000," ","int(1/2*(3*exp(x)-12*x^3+3)*exp(-exp(x)+x^4-x)*exp(3/2*exp(-exp(x)+x^4-x))+2*exp(2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{3 \,{\mathrm e}^{-{\mathrm e}^{x}+x^{4}-x}}{2}}+{\mathrm e}^{2 x}$&$23$\\ \hline \end{longtable}"," ",0,"-exp(3/2*exp(-exp(x)+x^4-x))+exp(2*x)","A"
9077,1,18,21,0.490000," ","int(((-25*exp(4)-2*x)*exp(x)+50*x*exp(4)+4*x^2+2)/(25*exp(4)+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-{\mathrm e}^{x}+x^{2}+\ln \left(25 \,{\mathrm e}^{4}+2 x \right)$&$18$\\ risch&$-{\mathrm e}^{x}+x^{2}+\ln \left(25 \,{\mathrm e}^{4}+2 x \right)$&$18$\\ default&$-{\mathrm e}^{x}+x^{2}+\ln \left(25 \,{\mathrm e}^{4}+2 x \right)$&$46$\\ \hline \end{longtable}"," ",0,"-exp(x)+x^2+ln(25*exp(4)+2*x)","A"
9078,1,63,21,0.493000," ","int(((-2*x^2-2*x-2)*ln((3*x+3)/x)+(2*x^2+2*x+2)*exp(4)+(-2*x^2-2*x-2)*exp(3)+2*x^3+4*x^2+4*x+2)/(x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\ln \left(\frac{3 x +3}{x}\right)^{2}+\left(2+2 \,{\mathrm e}^{4}-2 \,{\mathrm e}^{3}\right) x +\left(-2 \,{\mathrm e}^{4}+2 \,{\mathrm e}^{3}-2\right) \ln \left(\frac{3 x +3}{x}\right)-2 x \ln \left(\frac{3 x +3}{x}\right)$&$63$\\ derivativedivides&$-2 \ln \left(\frac{3}{x}+3\right) {\mathrm e}^{4}+2 \ln \left(\frac{3}{x}+3\right) {\mathrm e}^{3}+2 x \,{\mathrm e}^{4}-2 x \,{\mathrm e}^{3}+2 x +x^{2}+\ln \left(\frac{3}{x}+3\right)^{2}-\frac{2 \ln \left(\frac{3}{x}+3\right) \left(\frac{3}{x}+3\right) x}{3}$&$70$\\ default&$-2 \ln \left(\frac{3}{x}+3\right) {\mathrm e}^{4}+2 \ln \left(\frac{3}{x}+3\right) {\mathrm e}^{3}+2 x \,{\mathrm e}^{4}-2 x \,{\mathrm e}^{3}+2 x +x^{2}+\ln \left(\frac{3}{x}+3\right)^{2}-\frac{2 \ln \left(\frac{3}{x}+3\right) \left(\frac{3}{x}+3\right) x}{3}$&$70$\\ risch&$2 x \,{\mathrm e}^{4}-2 x \,{\mathrm e}^{3}+x^{2}+2 x +2 \,{\mathrm e}^{4} \ln \left(x \right)-2 \ln \left(x \right) {\mathrm e}^{3}+2 \ln \left(x \right)-2 \,{\mathrm e}^{4} \ln \left(x +1\right)+2 \,{\mathrm e}^{3} \ln \left(x +1\right)+\ln \left(\frac{3}{x}+3\right)^{2}+2 \ln \left(\frac{3}{x}\right)-\frac{2 \ln \left(\frac{3}{x}+3\right) \left(\frac{3}{x}+3\right) x}{3}$&$86$\\ \hline \end{longtable}"," ",0,"x^2+ln((3*x+3)/x)^2+(2+2*exp(4)-2*exp(3))*x+(-2*exp(4)+2*exp(3)-2)*ln((3*x+3)/x)-2*x*ln((3*x+3)/x)","B"
9079,1,14,18,0.030000," ","int((2*x^4-8*x^3+8*x^2+3*x-4)/(2*x^5-8*x^4+8*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{1}{2 x^{2} \left(x -2\right)}+\ln \left(x \right)$&$14$\\ risch&$-\frac{1}{2 x^{2} \left(x -2\right)}+\ln \left(x \right)$&$14$\\ default&$\frac{1}{4 x^{2}}+\frac{1}{8 x}+\ln \left(x \right)-\frac{1}{8 \left(x -2\right)}$&$21$\\ \hline \end{longtable}"," ",0,"-1/2/x^2/(x-2)+ln(x)","A"
9080,1,68,27,0.065000," ","int(((-8*x-12)*ln(x)^4+(-144*x^2-184*x+16)*ln(x)^3+(-864*x^3-720*x^2+288*x)*ln(x)^2+(-1728*x^4+864*x^3+1728*x^2)*ln(x)-2*x^6-8*x^5+6912*x^4+3456*x^3)/(x^6+4*x^5+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(x \right)^{4}}{x^{3} \left(2+x \right)}+\frac{48 \ln \left(x \right)^{3}}{x^{2} \left(2+x \right)}+\frac{432 \ln \left(x \right)^{2}}{x \left(2+x \right)}+\frac{1728 \ln \left(x \right)}{2+x}-\frac{2 \left(x^{2}+2 x +2596\right)}{2+x}$&$68$\\ \hline \end{longtable}"," ",0,"2/x^3/(2+x)*ln(x)^4+48/x^2/(2+x)*ln(x)^3+432/x/(2+x)*ln(x)^2+1728*ln(x)/(2+x)-2*(x^2+2*x+2596)/(2+x)","B"
9081,1,31,23,0.085000," ","int(((-6*x^11+46*x^10-142*x^9+198*x^8-12*x^7-420*x^6+756*x^5-708*x^4+402*x^3-138*x^2+26*x-2)*ln(x)-2*x^11+14*x^10-34*x^9+6*x^8+156*x^7-420*x^6+588*x^5-516*x^4+294*x^3-106*x^2+15*x-3)/(x^9-9*x^8+36*x^7-84*x^6+126*x^5-126*x^4+84*x^3-36*x^2+9*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x^{3} \ln \left(x \right)-4 x^{2} \ln \left(x \right)+2 x \ln \left(x \right)+\frac{1}{\left(x -1\right)^{7}}+\frac{1}{\left(x -1\right)^{8}}$&$31$\\ risch&$\left(-2 x^{3}-4 x^{2}+2 x \right) \ln \left(x \right)+\frac{x}{x^{8}-8 x^{7}+28 x^{6}-56 x^{5}+70 x^{4}-56 x^{3}+28 x^{2}-8 x +1}$&$61$\\ norman&$\frac{x +2 x \ln \left(x \right)-20 x^{2} \ln \left(x \right)+86 x^{3} \ln \left(x \right)-208 x^{4} \ln \left(x \right)+308 x^{5} \ln \left(x \right)-280 x^{6} \ln \left(x \right)+140 x^{7} \ln \left(x \right)-16 x^{8} \ln \left(x \right)-22 x^{9} \ln \left(x \right)+12 x^{10} \ln \left(x \right)-2 x^{11} \ln \left(x \right)}{\left(x -1\right)^{8}}$&$84$\\ \hline \end{longtable}"," ",0,"-2*x^3*ln(x)-4*x^2*ln(x)+2*x*ln(x)+1/(x-1)^7+1/(x-1)^8","A"
9082,1,17,18,0.032000," ","int((x^2-20*x+5)/(x^3-13*x^2+55*x-250),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x^{2}-3 x +25\right)-\ln \left(x -10\right)$&$17$\\ norman&$\ln \left(x^{2}-3 x +25\right)-\ln \left(x -10\right)$&$17$\\ risch&$\ln \left(x^{2}-3 x +25\right)-\ln \left(x -10\right)$&$17$\\ \hline \end{longtable}"," ",0,"ln(x^2-3*x+25)-ln(x-10)","A"
9083,1,56,25,0.435000," ","int(((-4*x^5-8*x^3+x^2-1)*exp(exp(5/3))^2+(20*x^6+24*x^4)*exp(exp(5/3))-24*x^7)*exp(((-x^5-4*x^3+x^2-4*x+1)*exp(exp(5/3))^2+(4*x^6+8*x^4)*exp(exp(5/3))-4*x^7)/x/exp(exp(5/3))^2)/x^2/exp(exp(5/3))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{\left(\left(-x^{5}-4 x^{3}+x^{2}-4 x +1\right) {\mathrm e}^{2 \,{\mathrm e}^{\frac{5}{3}}}+\left(4 x^{6}+8 x^{4}\right) {\mathrm e}^{{\mathrm e}^{\frac{5}{3}}}-4 x^{7}\right) {\mathrm e}^{-2 \,{\mathrm e}^{\frac{5}{3}}}}{x}}$&$56$\\ gosper&${\mathrm e}^{-\frac{\left(-4 \,{\mathrm e}^{{\mathrm e}^{\frac{5}{3}}} x^{6}+4 x^{7}+{\mathrm e}^{2 \,{\mathrm e}^{\frac{5}{3}}} x^{5}-8 \,{\mathrm e}^{{\mathrm e}^{\frac{5}{3}}} x^{4}+4 \,{\mathrm e}^{2 \,{\mathrm e}^{\frac{5}{3}}} x^{3}-{\mathrm e}^{2 \,{\mathrm e}^{\frac{5}{3}}} x^{2}+4 \,{\mathrm e}^{2 \,{\mathrm e}^{\frac{5}{3}}} x -{\mathrm e}^{2 \,{\mathrm e}^{\frac{5}{3}}}\right) {\mathrm e}^{-2 \,{\mathrm e}^{\frac{5}{3}}}}{x}}$&$78$\\ risch&${\mathrm e}^{-\frac{\left(-4 \,{\mathrm e}^{{\mathrm e}^{\frac{5}{3}}} x^{6}+4 x^{7}+{\mathrm e}^{2 \,{\mathrm e}^{\frac{5}{3}}} x^{5}-8 \,{\mathrm e}^{{\mathrm e}^{\frac{5}{3}}} x^{4}+4 \,{\mathrm e}^{2 \,{\mathrm e}^{\frac{5}{3}}} x^{3}-{\mathrm e}^{2 \,{\mathrm e}^{\frac{5}{3}}} x^{2}+4 \,{\mathrm e}^{2 \,{\mathrm e}^{\frac{5}{3}}} x -{\mathrm e}^{2 \,{\mathrm e}^{\frac{5}{3}}}\right) {\mathrm e}^{-2 \,{\mathrm e}^{\frac{5}{3}}}}{x}}$&$78$\\ \hline \end{longtable}"," ",0,"exp(((-x^5-4*x^3+x^2-4*x+1)*exp(exp(5/3))^2+(4*x^6+8*x^4)*exp(exp(5/3))-4*x^7)/x/exp(exp(5/3))^2)","B"
9084,1,37,25,0.081000," ","int((((x^2-2*x+1)*exp(x)*ln(1-x)+(-5*x^2+10*x-5)*exp(x))*ln(-ln(1-x)+5)+((-x^2+2*x-1)*exp(x)+(6*x^3-6*x^2)*ln(5))*ln(1-x)+(5*x^2-9*x+5)*exp(x)+(-30*x^3+30*x^2)*ln(5))/((6*x^3-6*x^2)*ln(1-x)-30*x^3+30*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x} \ln \left(-\ln \left(1-x \right)+5\right)}{6 x}+\frac{6 x^{2} \ln \left(5\right)-{\mathrm e}^{x}}{6 x}$&$37$\\ \hline \end{longtable}"," ",0,"1/6/x*exp(x)*ln(-ln(1-x)+5)+1/6*(6*x^2*ln(5)-exp(x))/x","A"
9085,1,17,19,0.565000," ","int((15*x^2+16*x+43)/(15*x^2+16*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -3 \ln \left(x +1\right)+3 \ln \left(15 x +1\right)$&$17$\\ norman&$x -3 \ln \left(x +1\right)+3 \ln \left(15 x +1\right)$&$17$\\ risch&$x -3 \ln \left(x +1\right)+3 \ln \left(15 x +1\right)$&$17$\\ \hline \end{longtable}"," ",0,"x-3*ln(x+1)+3*ln(15*x+1)","A"
9086,1,454,36,0.370000," ","int(((45*x^6-225*x^5+450*x^4-450*x^3+225*x^2-90*x+45)*exp(x)*ln(x^12-8*x^11+28*x^10-56*x^9+70*x^8-58*x^7+36*x^6-20*x^5+9*x^4-2*x^3+x^2)^2+(30*x^7-105*x^6+75*x^5+150*x^4-300*x^3+165*x^2-60*x+45)*exp(x)*ln(x^12-8*x^11+28*x^10-56*x^9+70*x^8-58*x^7+36*x^6-20*x^5+9*x^4-2*x^3+x^2)+(5*x^8-10*x^7-10*x^6+580*x^5-1835*x^4+2165*x^3-1090*x^2+180*x-90)*exp(x))/((9*x^7-36*x^6+54*x^5-36*x^4+9*x^3-9*x^2)*ln(x^12-8*x^11+28*x^10-56*x^9+70*x^8-58*x^7+36*x^6-20*x^5+9*x^4-2*x^3+x^2)^2+(6*x^8-6*x^7-36*x^6+84*x^5-66*x^4+12*x^3-18*x^2)*ln(x^12-8*x^11+28*x^10-56*x^9+70*x^8-58*x^7+36*x^6-20*x^5+9*x^4-2*x^3+x^2)+x^9+2*x^8-9*x^7-4*x^6+31*x^5-31*x^4+3*x^3-9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \,{\mathrm e}^{x}}{x}-\frac{30 i {\mathrm e}^{x}}{x \left(3 \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-6 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+3 \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+3 \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i \left(x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+x -1\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+x -1\right)^{2}\right)-3 \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} \left(x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+x -1\right)^{2}\right)^{2}+3 \pi  \mathrm{csgn}\left(i \left(x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+x -1\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+x -1\right)^{2}\right)-6 \pi  \,\mathrm{csgn}\left(i \left(x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+x -1\right)\right) \mathrm{csgn}\left(i \left(x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+x -1\right)^{2}\right)^{2}+3 \pi  \mathrm{csgn}\left(i \left(x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+x -1\right)^{2}\right)^{3}-3 \pi  \,\mathrm{csgn}\left(i \left(x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+x -1\right)^{2}\right) \mathrm{csgn}\left(i x^{2} \left(x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+x -1\right)^{2}\right)^{2}+3 \pi  \mathrm{csgn}\left(i x^{2} \left(x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+x -1\right)^{2}\right)^{3}+2 i x +12 i \ln \left(x \right)+12 i \ln \left(x^{5}-4 x^{4}+6 x^{3}-4 x^{2}+x -1\right)+6 i\right)}$&$454$\\ \hline \end{longtable}"," ",0,"5*exp(x)/x-30*I*exp(x)/x/(3*Pi*csgn(I*x)^2*csgn(I*x^2)-6*Pi*csgn(I*x)*csgn(I*x^2)^2+3*Pi*csgn(I*x^2)^3+3*Pi*csgn(I*x^2)*csgn(I*(x^5-4*x^4+6*x^3-4*x^2+x-1)^2)*csgn(I*x^2*(x^5-4*x^4+6*x^3-4*x^2+x-1)^2)-3*Pi*csgn(I*x^2)*csgn(I*x^2*(x^5-4*x^4+6*x^3-4*x^2+x-1)^2)^2+3*Pi*csgn(I*(x^5-4*x^4+6*x^3-4*x^2+x-1))^2*csgn(I*(x^5-4*x^4+6*x^3-4*x^2+x-1)^2)-6*Pi*csgn(I*(x^5-4*x^4+6*x^3-4*x^2+x-1))*csgn(I*(x^5-4*x^4+6*x^3-4*x^2+x-1)^2)^2+3*Pi*csgn(I*(x^5-4*x^4+6*x^3-4*x^2+x-1)^2)^3-3*Pi*csgn(I*(x^5-4*x^4+6*x^3-4*x^2+x-1)^2)*csgn(I*x^2*(x^5-4*x^4+6*x^3-4*x^2+x-1)^2)^2+3*Pi*csgn(I*x^2*(x^5-4*x^4+6*x^3-4*x^2+x-1)^2)^3+2*I*x+12*I*ln(x)+12*I*ln(x^5-4*x^4+6*x^3-4*x^2+x-1)+6*I)","C"
9087,1,66,22,0.030000," ","int(2*x*ln(x)^4+4*x*ln(x)^3+1/25*(-250*x^4+30*x^2-200*x)*ln(x)^2+1/25*(-100*x^4+20*x^2-200*x)*ln(x)+8*x^7-12/5*x^5+20*x^4+4/25*x^3-12/5*x^2+8*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x^{2}+x -\frac{4 x^{3}}{5}+\frac{x^{4}}{25}+4 x^{5}-\frac{2 x^{6}}{5}+x^{8}+x^{2} \ln \left(x \right)^{4}-2 x^{5} \ln \left(x \right)^{2}+\frac{2 x^{3} \ln \left(x \right)^{2}}{5}-4 x^{2} \ln \left(x \right)^{2}$&$66$\\ risch&$4 x^{2}+x -\frac{4 x^{3}}{5}+\frac{x^{4}}{25}+4 x^{5}-\frac{2 x^{6}}{5}+x^{8}+x^{2} \ln \left(x \right)^{4}-2 x^{5} \ln \left(x \right)^{2}+\frac{2 x^{3} \ln \left(x \right)^{2}}{5}-4 x^{2} \ln \left(x \right)^{2}$&$66$\\ \hline \end{longtable}"," ",0,"4*x^2+x-4/5*x^3+1/25*x^4+4*x^5-2/5*x^6+x^8+x^2*ln(x)^4-2*x^5*ln(x)^2+2/5*x^3*ln(x)^2-4*x^2*ln(x)^2","B"
9088,1,18,18,0.033000," ","int(((3*ln(x)+2*x-1)/x^2+x)*exp(((-x-ln(x))/x^2+2*x)/x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{-\frac{-2 x^{3}+\ln \left(x \right)+x}{x^{3}}}$&$18$\\ norman&$x \,{\mathrm e}^{\frac{\frac{-x -\ln \left(x \right)}{x^{2}}+2 x}{x}}$&$24$\\ \hline \end{longtable}"," ",0,"x*exp(-(-2*x^3+ln(x)+x)/x^3)","A"
9089,1,14,16,0.017000," ","int(1/4*(-8*x^2+8*x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+2 x -\frac{\ln \left(x \right)}{4}$&$14$\\ norman&$-x^{2}+2 x -\frac{\ln \left(x \right)}{4}$&$14$\\ risch&$-x^{2}+2 x -\frac{\ln \left(x \right)}{4}$&$14$\\ \hline \end{longtable}"," ",0,"-x^2+2*x-1/4*ln(x)","A"
9090,1,31,21,0.105000," ","int(((-18*x*ln(3)+x^2+4*x)*exp(162*ln(3)^2+1/2*(-36*x-144)*ln(3)+1/2*x^2+4*x+9)-1)*exp(exp(162*ln(3)^2+1/2*(-36*x-144)*ln(3)+1/2*x^2+4*x+9))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{3^{-72-18 x} {\mathrm e}^{162 \ln \left(3\right)^{2}+9+\frac{x^{2}}{2}+4 x}}}{x}$&$31$\\ norman&$\frac{{\mathrm e}^{{\mathrm e}^{162 \ln \left(3\right)^{2}+\frac{\left(-36 x -144\right) \ln \left(3\right)}{2}+\frac{x^{2}}{2}+4 x +9}}}{x}$&$32$\\ \hline \end{longtable}"," ",0,"exp(3^(-72-18*x)*exp(162*ln(3)^2+9+1/2*x^2+4*x))/x","A"
9091,1,17,18,0.031000," ","int((-15*x^2+20*x)/(5*x^3-10*x^2-4)/ln(-5*x^3+10*x^2+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left(-5 x^{3}+10 x^{2}+4\right)\right)$&$17$\\ risch&$-\ln \left(\ln \left(-5 x^{3}+10 x^{2}+4\right)\right)$&$17$\\ \hline \end{longtable}"," ",0,"-ln(ln(-5*x^3+10*x^2+4))","A"
9092,1,5,6,0.011000," ","int(5/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 \ln \left(x \right)$&$5$\\ norman&$5 \ln \left(x \right)$&$5$\\ risch&$5 \ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"5*ln(x)","A"
9093,1,29,25,0.042000," ","int((3*exp(16*x^2+1)-64*x^4-2*x^2)/(x*exp(16*x^2+1)-2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \ln \left(x \right)+16 x^{2}+1-\ln \left(-2 x^{2}+{\mathrm e}^{16 x^{2}+1}\right)$&$29$\\ norman&$16 x^{2}+3 \ln \left(x \right)-\ln \left(2 x^{2}-{\mathrm e}^{16 x^{2}+1}\right)$&$30$\\ \hline \end{longtable}"," ",0,"3*ln(x)+16*x^2+1-ln(-2*x^2+exp(16*x^2+1))","A"
9094,1,23,25,0.118000," ","int((((-9*exp(5-x)-1)*exp(4*x)-36*x^2+18*x)*exp(exp(5-x))-16*exp(4*x)-576*x^2+288*x)/(9*exp(4*x)*exp(exp(5-x))+144*exp(4*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{9}+x^{2} {\mathrm e}^{-4 x}+\ln \left(16+{\mathrm e}^{{\mathrm e}^{5-x}}\right)$&$23$\\ \hline \end{longtable}"," ",0,"-1/9*x+x^2*exp(-4*x)+ln(16+exp(exp(5-x)))","A"
9095,1,41,26,0.478000," ","int(((-3*x-3)*ln(x+1)+(15*x+15)*exp(4)*ln(x)^2+((-15*x^2-15*x)*exp(4)+3*x)*ln(x)+(15*x^2+25*x+10)*exp(4)+30*x+30)/(15*x^2+15*x)/exp(4)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-4} \ln \left(x +1\right)}{5 \ln \left(x \right)}+\frac{{\mathrm e}^{-4} \left(3 \,{\mathrm e}^{4} \ln \left(x \right)^{2}-3 x \,{\mathrm e}^{4}-2 \,{\mathrm e}^{4}-6\right)}{3 \ln \left(x \right)}$&$41$\\ \hline \end{longtable}"," ",0,"1/5*exp(-4)/ln(x)*ln(x+1)+1/3*exp(-4)*(3*exp(4)*ln(x)^2-3*x*exp(4)-2*exp(4)-6)/ln(x)","A"
9096,1,28,16,0.051000," ","int((-3*exp(1)^4-192*exp(1)^3-4608*exp(1)^2-49152*exp(1)-x^2-196608)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\frac{-4608 \,{\mathrm e}^{2}-49152 \,{\mathrm e}-3 \,{\mathrm e}^{4}-192 \,{\mathrm e}^{3}-196608}{x}$&$28$\\ gosper&$\frac{3 \,{\mathrm e}^{4}+192 \,{\mathrm e}^{3}+4608 \,{\mathrm e}^{2}-x^{2}+49152 \,{\mathrm e}+196608}{x}$&$34$\\ risch&$-x +\frac{4608 \,{\mathrm e}^{2}}{x}+\frac{49152 \,{\mathrm e}}{x}+\frac{3 \,{\mathrm e}^{4}}{x}+\frac{192 \,{\mathrm e}^{3}}{x}+\frac{196608}{x}$&$38$\\ \hline \end{longtable}"," ",0,"-x-(-4608*exp(2)-49152*exp(1)-3*exp(4)-192*exp(3)-196608)/x","A"
9097,1,235,21,0.532000," ","int((-x*ln(x)*ln(100*ln(x)^2/x^2)-x*ln(x)^2+(exp(x)-1)*ln(x)+2)/x/exp(x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{-x} \ln \left(\ln \left(x \right)\right)+\frac{\left(-i \pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{2}}{x^{2}}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{2}}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)-i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}+2 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \ln \left(x \right)^{2}}{x^{2}}\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \ln \left(x \right)^{2}}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)-i \pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+2 \,{\mathrm e}^{x} \ln \left(x \right)+4 \ln \left(2\right)+4 \ln \left(5\right)-2 \ln \left(x \right)\right) {\mathrm e}^{-x}}{2}$&$235$\\ \hline \end{longtable}"," ",0,"2*exp(-x)*ln(ln(x))+1/2*(-I*Pi*csgn(I/x^2*ln(x)^2)^3+I*Pi*csgn(I/x^2*ln(x)^2)^2*csgn(I/x^2)-I*Pi*csgn(I*ln(x)^2)^3+2*I*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+I*Pi*csgn(I*x^2)*csgn(I*x)^2+I*Pi*csgn(I*x^2)^3+I*Pi*csgn(I/x^2*ln(x)^2)^2*csgn(I*ln(x)^2)-I*Pi*csgn(I/x^2*ln(x)^2)*csgn(I/x^2)*csgn(I*ln(x)^2)-I*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-2*I*Pi*csgn(I*x^2)^2*csgn(I*x)+2*exp(x)*ln(x)+4*ln(2)+4*ln(5)-2*ln(x))*exp(-x)","C"
9098,1,14,13,0.032000," ","int(1/18*x*exp(4)*ln(1/5*x^2)+1/18*x*exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2} \ln \left(\frac{x^{2}}{5}\right) {\mathrm e}^{4}}{36}$&$14$\\ norman&$\frac{x^{2} \ln \left(\frac{x^{2}}{5}\right) {\mathrm e}^{4}}{36}$&$14$\\ risch&$\frac{x^{2} \ln \left(\frac{x^{2}}{5}\right) {\mathrm e}^{4}}{36}$&$14$\\ \hline \end{longtable}"," ",0,"1/36*x^2*ln(1/5*x^2)*exp(4)","A"
9099,1,29,24,0.273000," ","int(((-7200*x^2-10800*x+3150)*exp(x)-28800*x+7198)/((46656000000*x^6-69984000000*x^5+43740000000*x^4-14580000000*x^3+2733750000*x^2-273375000*x+11390625)*exp(x)^3+(279936000000*x^6-419865120000*x^5+262401120000*x^4-87465420000*x^3+16400070000*x^2-1640098125*x+68343750)*exp(x)^2+(559872000000*x^6-839652480000*x^5+524724490800*x^4-174901685400*x^3+32795280675*x^2-3279892500*x+136687500)*exp(x)+373248000000*x^6-559716480000*x^5+349764501600*x^4-116581690799*x^3+21860281350*x^2-2186392500*x+91125000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1}{\left(3600 \,{\mathrm e}^{x} x^{2}-1800 \,{\mathrm e}^{x} x +7200 x^{2}+225 \,{\mathrm e}^{x}-3599 x +450\right)^{2}}$&$29$\\ risch&$\frac{1}{\left(3600 \,{\mathrm e}^{x} x^{2}-1800 \,{\mathrm e}^{x} x +7200 x^{2}+225 \,{\mathrm e}^{x}-3599 x +450\right)^{2}}$&$29$\\ \hline \end{longtable}"," ",0,"1/(3600*exp(x)*x^2-1800*exp(x)*x+7200*x^2+225*exp(x)-3599*x+450)^2","A"
9100,1,18,17,0.837000," ","int(((5*x+10)*exp((2+x)/x)+5*x*exp(4)-20*x)/(x*exp((2+x)/x)^2+(2*x*exp(4)-8*x)*exp((2+x)/x)+x*exp(4)^2-8*x*exp(4)+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 x}{-4+{\mathrm e}^{4}+{\mathrm e}^{\frac{2+x}{x}}}$&$18$\\ risch&$\frac{5 x}{-4+{\mathrm e}^{4}+{\mathrm e}^{\frac{2+x}{x}}}$&$18$\\ \hline \end{longtable}"," ",0,"5*x/(-4+exp(4)+exp((2+x)/x))","A"
9101,1,293,30,0.402000," ","int(((-2*x*ln(x)*ln(ln(x))+2*x^2*ln(x))*ln(exp(x)/(ln(ln(x))-x))+((x^2-1)*ln(x)*ln(2*x^2)-2*ln(x))*ln(ln(x))+((-x^3+x^2+x)*ln(x)-x)*ln(2*x^2)+2*x*ln(x))/(x^2*ln(5)*ln(x)*ln(2*x^2)^2*ln(ln(x))-x^3*ln(5)*ln(x)*ln(2*x^2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i \ln \left({\mathrm e}^{x}\right)}{\ln \left(5\right) \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(2\right)+4 i \ln \left(x \right)\right)}+\frac{-2 i x \ln \left(x -\ln \left(\ln \left(x \right)\right)\right)+2 \pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x -\ln \left(\ln \left(x \right)\right)}\right)^{2}+\pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i}{x -\ln \left(\ln \left(x \right)\right)}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x -\ln \left(\ln \left(x \right)\right)}\right)-\pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x -\ln \left(\ln \left(x \right)\right)}\right)^{2}-\pi  x \,\mathrm{csgn}\left(\frac{i}{x -\ln \left(\ln \left(x \right)\right)}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x -\ln \left(\ln \left(x \right)\right)}\right)^{2}-\pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x -\ln \left(\ln \left(x \right)\right)}\right)^{3}-2 \pi  x +2 i}{\ln \left(5\right) \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \ln \left(2\right)+4 i \ln \left(x \right)\right) x}$&$293$\\ \hline \end{longtable}"," ",0,"2*I/ln(5)/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(2)+4*I*ln(x))*ln(exp(x))+(-2*I*x*ln(x-ln(ln(x)))+2*Pi*x*csgn(I*exp(x)/(x-ln(ln(x))))^2+Pi*x*csgn(I*exp(x))*csgn(I/(x-ln(ln(x))))*csgn(I*exp(x)/(x-ln(ln(x))))-Pi*x*csgn(I*exp(x))*csgn(I*exp(x)/(x-ln(ln(x))))^2-Pi*x*csgn(I/(x-ln(ln(x))))*csgn(I*exp(x)/(x-ln(ln(x))))^2-Pi*x*csgn(I*exp(x)/(x-ln(ln(x))))^3-2*Pi*x+2*I)/ln(5)/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+2*I*ln(2)+4*I*ln(x))/x","C"
9102,1,42,28,0.063000," ","int(((x^3+3*x^2+3*x+1)*exp(x)*exp(exp(x))+(-2*x^4-6*x^3-6*x^2-2*x)*exp(x^2)-4*x^6-18*x^5-12*x^4+32*x^3+48*x^2-32*x)/(x^3+3*x^2+3*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{4}-2 x^{3}+9 x^{2}+\frac{50 x +25}{x^{2}+2 x +1}-{\mathrm e}^{x^{2}}+{\mathrm e}^{{\mathrm e}^{x}}$&$42$\\ \hline \end{longtable}"," ",0,"-x^4-2*x^3+9*x^2+(50*x+25)/(x^2+2*x+1)-exp(x^2)+exp(exp(x))","A"
9103,1,24,24,1.178000," ","int(((x^3-x)*exp(x)-3*x^2+1)/((x^3-x)*ln(-3/(x^3-x))+(x^3-x)*exp(x)+(-x^3+x)*exp(5)+3*x^3-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left({\mathrm e}^{5}-{\mathrm e}^{x}-\ln \left(-\frac{3}{x^{3}-x}\right)-3\right)$&$24$\\ norman&$\ln \left({\mathrm e}^{5}-{\mathrm e}^{x}-\ln \left(-\frac{3}{x^{3}-x}\right)-3\right)$&$24$\\ risch&$\ln \left(\ln \left(x^{2}-1\right)+\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x^{2}-1}\right) \mathrm{csgn}\left(\frac{i}{x \left(x^{2}-1\right)}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \left(x^{2}-1\right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{x^{2}-1}\right) \mathrm{csgn}\left(\frac{i}{x \left(x^{2}-1\right)}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i}{x \left(x^{2}-1\right)}\right)^{3}+2 \pi  \mathrm{csgn}\left(\frac{i}{x \left(x^{2}-1\right)}\right)^{2}-2 i {\mathrm e}^{5}+2 i \ln \left(3\right)+2 i {\mathrm e}^{x}-2 i \ln \left(x \right)-2 \pi +6 i\right)}{2}\right)$&$166$\\ \hline \end{longtable}"," ",0,"ln(exp(5)-exp(x)-ln(-3/(x^3-x))-3)","A"
9104,1,13,13,0.036000," ","int((exp(x)^2+(-2*x-12)*exp(x)+x^2+12)/(exp(x)^2-2*exp(x)*x+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{12}{x -{\mathrm e}^{x}}$&$13$\\ norman&$\frac{-12+x^{2}-{\mathrm e}^{x} x}{x -{\mathrm e}^{x}}$&$20$\\ \hline \end{longtable}"," ",0,"x-12/(x-exp(x))","A"
9105,1,218,30,1.171000," ","int(((4*x^22-67*x^21+492*x^20-2134*x^19+6160*x^18-12573*x^17+18708*x^16-20265*x^15+14652*x^14-3481*x^13-7652*x^12+12684*x^11-10244*x^10+4112*x^9+1296*x^8-3339*x^7+2160*x^6-513*x^5-108*x^4+513*x^3)*exp(4*x)+14*x^6-48*x^5+60*x^4-32*x^3+6*x^2-6)*exp(((x^15-13*x^14+68*x^13-196*x^12+350*x^11-406*x^10+302*x^9-94*x^8-115*x^7+199*x^6-126*x^5+30*x^4+9*x^3-45*x^2)*exp(4*x)-x^14+8*x^13-28*x^12+56*x^11-70*x^10+56*x^9-22*x^8-16*x^7+35*x^6-24*x^5+6*x^4-9*x^2-1)/(x^14-8*x^13+28*x^12-56*x^11+70*x^10-56*x^9+22*x^8+16*x^7-35*x^6+24*x^5-6*x^4+9*x^2))/(x^21-12*x^20+66*x^19-220*x^18+495*x^17-792*x^16+915*x^15-720*x^14+243*x^13+284*x^12-564*x^11+492*x^10-224*x^9-36*x^8+153*x^7-108*x^6+27*x^5-27*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-1+56 x^{11}-28 x^{12}+8 x^{13}-x^{14}-16 x^{7}-22 x^{8}-70 x^{10}+56 x^{9}+35 x^{6}-24 x^{5}+6 x^{4}-9 x^{2}+9 x^{3} {\mathrm e}^{4 x}-45 x^{2} {\mathrm e}^{4 x}+{\mathrm e}^{4 x} x^{15}-13 \,{\mathrm e}^{4 x} x^{14}+68 \,{\mathrm e}^{4 x} x^{13}-196 \,{\mathrm e}^{4 x} x^{12}+350 \,{\mathrm e}^{4 x} x^{11}-406 \,{\mathrm e}^{4 x} x^{10}+302 \,{\mathrm e}^{4 x} x^{9}-94 \,{\mathrm e}^{4 x} x^{8}-115 \,{\mathrm e}^{4 x} x^{7}+199 \,{\mathrm e}^{4 x} x^{6}-126 \,{\mathrm e}^{4 x} x^{5}+30 x^{4} {\mathrm e}^{4 x}}{x^{2} \left(x^{6}-4 x^{5}+6 x^{4}-4 x^{3}+x^{2}-3\right)^{2}}}$&$218$\\ \hline \end{longtable}"," ",0,"exp((-1+56*x^11-28*x^12+8*x^13-x^14-16*x^7-22*x^8-70*x^10+56*x^9+35*x^6-24*x^5+6*x^4-9*x^2+9*x^3*exp(4*x)-45*x^2*exp(4*x)+exp(4*x)*x^15-13*exp(4*x)*x^14+68*exp(4*x)*x^13-196*exp(4*x)*x^12+350*exp(4*x)*x^11-406*exp(4*x)*x^10+302*exp(4*x)*x^9-94*exp(4*x)*x^8-115*exp(4*x)*x^7+199*exp(4*x)*x^6-126*exp(4*x)*x^5+30*x^4*exp(4*x))/x^2/(x^6-4*x^5+6*x^4-4*x^3+x^2-3)^2)","B"
9106,1,10,15,0.114000," ","int(2*exp(ln(x^2/exp(x))+x)/(x*exp(ln(x^2/exp(x))+x)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x -1\right)+\ln \left(x +1\right)$&$10$\\ default&$\ln \left(x^{2} {\mathrm e}^{x +\ln \left(x^{2} {\mathrm e}^{-x}\right)-2 \ln \left(x \right)}-1\right)$&$24$\\ risch&$\ln \left({\mathrm e}^{x}\right)+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x}\right) \left(-\mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x}\right)+\mathrm{csgn}\left(i x^{2}\right)\right) \left(-\mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{-x}\right)\right)}{2}-x +\ln \left(x^{2} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i x^{2}\right)^{3}-2 \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}-\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x}\right)^{2}+\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)+\mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x}\right)^{3}-\mathrm{csgn}\left(i x^{2} {\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)\right)}{2}}-1\right)$&$232$\\ \hline \end{longtable}"," ",0,"ln(x-1)+ln(x+1)","A"
9107,1,37,23,0.035000," ","int(1/25*((18*x^3+36*x-18)*ln(x)-6*x^6-48*x^4+6*x^3-72*x^2+36*x+25)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{6}}{25}+\frac{6 x^{3} \ln \left(x \right)}{25}-\frac{12 x^{4}}{25}+\frac{36 x \ln \left(x \right)}{25}-\frac{36 x^{2}}{25}-\frac{9 \ln \left(x \right)^{2}}{25}+\ln \left(x \right)$&$37$\\ norman&$-\frac{x^{6}}{25}+\frac{6 x^{3} \ln \left(x \right)}{25}-\frac{12 x^{4}}{25}+\frac{36 x \ln \left(x \right)}{25}-\frac{36 x^{2}}{25}-\frac{9 \ln \left(x \right)^{2}}{25}+\ln \left(x \right)$&$37$\\ risch&$-\frac{9 \ln \left(x \right)^{2}}{25}+\frac{\left(6 x^{3}+36 x \right) \ln \left(x \right)}{25}-\frac{x^{6}}{25}-\frac{12 x^{4}}{25}-\frac{36 x^{2}}{25}+\ln \left(x \right)$&$38$\\ \hline \end{longtable}"," ",0,"-1/25*x^6+6/25*x^3*ln(x)-12/25*x^4+36/25*x*ln(x)-36/25*x^2-9/25*ln(x)^2+ln(x)","A"
9108,1,16,20,0.039000," ","int((exp(exp(exp(4)))-4*x^4*ln(x)+x^4+1)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{4}+{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{4}}}+1}{\ln \left(x \right)}$&$16$\\ norman&$\frac{-x^{4}-1-{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{4}}}}{\ln \left(x \right)}$&$19$\\ default&$-\frac{x^{4}}{\ln \left(x \right)}-\frac{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{4}}}}{\ln \left(x \right)}-\frac{1}{\ln \left(x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"-(x^4+exp(exp(exp(4)))+1)/ln(x)","A"
9109,1,10,9,0.025000," ","int((-2*exp(1/4/x^8)*exp(exp(1/4/x^8))+x^9)/x^9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{{\mathrm e}^{\frac{1}{4 x^{8}}}}+x$&$10$\\ risch&${\mathrm e}^{{\mathrm e}^{\frac{1}{4 x^{8}}}}+x$&$10$\\ \hline \end{longtable}"," ",0,"exp(exp(1/4/x^8))+x","A"
9110,1,45,30,0.147000," ","int((4*(-10*x^3+10*x^2)*ln(2)^2+2*((-4*x^6+16*x^5-16*x^4)*exp(1)+400*x^2-400*x)*ln(2)+(160*x^5-400*x^4-320*x^3+960*x^2)*exp(1)-4000*x+4000)/(4*(x^6-4*x^5+4*x^4)*ln(2)^2+2*(-40*x^5+160*x^4-160*x^3)*ln(2)+400*x^4-1600*x^3+1600*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{2 \,{\mathrm e} x}{\ln \left(2\right)}+\frac{5}{2 \left(x -2\right)}-\frac{20 \,{\mathrm e} \left(3 \ln \left(2\right)+10\right)}{\ln \left(2\right)^{2} \left(x \ln \left(2\right)-10\right)}-\frac{5}{2 x}$&$45$\\ norman&$\frac{-50+\left(-\frac{\ln \left(2\right)^{2}}{4}-2 \,{\mathrm e}\right) x^{3}+\left(\frac{\ln \left(2\right)^{2}}{2}+12 \,{\mathrm e}+\frac{5 \ln \left(2\right)}{2}\right) x^{2}-2 x^{4} {\mathrm e}}{x \left(x -2\right) \left(x \ln \left(2\right)-10\right)}$&$61$\\ gosper&$-\frac{8 x^{4} {\mathrm e}+x^{3} \ln \left(2\right)^{2}+8 x^{3} {\mathrm e}-2 x^{2} \ln \left(2\right)^{2}-48 x^{2} {\mathrm e}-10 x^{2} \ln \left(2\right)+200}{4 x \left(x^{2} \ln \left(2\right)-2 x \ln \left(2\right)-10 x +20\right)}$&$71$\\ risch&$-\frac{2 \,{\mathrm e} x}{\ln \left(2\right)}+\frac{-\frac{20 \,{\mathrm e} \left(3 \ln \left(2\right)+10\right) x^{2}}{\ln \left(2\right)}+\frac{5 \left(\ln \left(2\right)^{3}+24 \,{\mathrm e} \ln \left(2\right)+80 \,{\mathrm e}\right) x}{\ln \left(2\right)}-50 \ln \left(2\right)}{\ln \left(2\right) x \left(x^{2} \ln \left(2\right)-2 x \ln \left(2\right)-10 x +20\right)}$&$81$\\ \hline \end{longtable}"," ",0,"-2*exp(1)/ln(2)*x+5/2/(x-2)-20*exp(1)*(3*ln(2)+10)/ln(2)^2/(x*ln(2)-10)-5/2/x","A"
9111,1,172,28,0.294000," ","int((((-6*x*ln(x)+72*x)*ln(2*x)+3*x*ln(x)-36*x)*ln(1/8*(ln(x)-12)/x)+((9*x^2-3*x)*ln(x)-108*x^2+33*x)*ln(2*x)+(-3*x^2+3*x)*ln(x)+36*x^2-36*x)/(ln(x)-12)/ln(2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{6 i x^{2} \ln \left(\ln \left(x \right)-12\right)}{2 i \ln \left(2\right)+2 i \ln \left(x \right)}+\frac{18 x^{2} \ln \left(2\right)+6 x^{2} \ln \left(x \right)+3 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)-12\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-12\right)}{x}\right)-3 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-12\right)}{x}\right)^{2}-3 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)-12\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-12\right)}{x}\right)^{2}+3 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)-12\right)}{x}\right)^{3}+6 x^{3}-6 x^{2}}{2 \ln \left(2\right)+2 \ln \left(x \right)}$&$172$\\ \hline \end{longtable}"," ",0,"-6*I*x^2/(2*I*ln(2)+2*I*ln(x))*ln(ln(x)-12)+3*(6*x^2*ln(2)+2*x^2*ln(x)+I*Pi*x^2*csgn(I/x)*csgn(I*(ln(x)-12))*csgn(I/x*(ln(x)-12))-I*Pi*x^2*csgn(I/x)*csgn(I/x*(ln(x)-12))^2-I*Pi*x^2*csgn(I*(ln(x)-12))*csgn(I/x*(ln(x)-12))^2+I*Pi*x^2*csgn(I/x*(ln(x)-12))^3+2*x^3-2*x^2)/(2*ln(2)+2*ln(x))","C"
9112,1,64,24,0.231000," ","int(((6*exp(3)^2-2*exp(3))*ln(5*exp(x))-24*x*exp(3)^2+14*x*exp(3)-2*x)/(exp(3)^2*ln(5*exp(x))^2+(-8*x*exp(3)^2+2*x*exp(3))*ln(5*exp(x))+(16*x^2-3)*exp(3)^2-8*x^2*exp(3)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left({\mathrm e}^{6} \ln \left(5 \,{\mathrm e}^{x}\right)^{2}-8 \ln \left(5 \,{\mathrm e}^{x}\right) x \,{\mathrm e}^{6}+16 x^{2} {\mathrm e}^{6}+2 \ln \left(5 \,{\mathrm e}^{x}\right) x \,{\mathrm e}^{3}-8 x^{2} {\mathrm e}^{3}-3 \,{\mathrm e}^{6}+x^{2}\right)$&$64$\\ risch&$-\ln \left(\ln \left({\mathrm e}^{x}\right)^{2}+{\mathrm e}^{-3} \left(2 \,{\mathrm e}^{3} \ln \left(5\right)-8 x \,{\mathrm e}^{3}+2 x \right) \ln \left({\mathrm e}^{x}\right)-\frac{\left(-8 x \,{\mathrm e}^{3} \ln \left(5\right)+12 \,{\mathrm e}^{6}-4 x^{2}-64 x^{2} {\mathrm e}^{6}+32 x^{2} {\mathrm e}^{3}-4 \,{\mathrm e}^{6} \ln \left(5\right)^{2}+32 \ln \left(5\right) {\mathrm e}^{6} x \right) {\mathrm e}^{-6}}{4}\right)$&$81$\\ default&$\frac{\ln \left(9 x^{2} {\mathrm e}^{6}-6 \,{\mathrm e}^{6} x \left(\ln \left(5 \,{\mathrm e}^{x}\right)-x \right)+{\mathrm e}^{6} \left(\ln \left(5 \,{\mathrm e}^{x}\right)-x \right)^{2}-6 x^{2} {\mathrm e}^{3}+2 \,{\mathrm e}^{3} x \left(\ln \left(5 \,{\mathrm e}^{x}\right)-x \right)-3 \,{\mathrm e}^{6}+x^{2}\right)}{-1+3 \,{\mathrm e}^{3}}-\frac{3 \ln \left(9 x^{2} {\mathrm e}^{6}-6 \,{\mathrm e}^{6} x \left(\ln \left(5 \,{\mathrm e}^{x}\right)-x \right)+{\mathrm e}^{6} \left(\ln \left(5 \,{\mathrm e}^{x}\right)-x \right)^{2}-6 x^{2} {\mathrm e}^{3}+2 \,{\mathrm e}^{3} x \left(\ln \left(5 \,{\mathrm e}^{x}\right)-x \right)-3 \,{\mathrm e}^{6}+x^{2}\right) {\mathrm e}^{3}}{-1+3 \,{\mathrm e}^{3}}$&$169$\\ \hline \end{longtable}"," ",0,"-ln(exp(3)^2*ln(5*exp(x))^2-8*ln(5*exp(x))*x*exp(3)^2+16*x^2*exp(3)^2+2*ln(5*exp(x))*x*exp(3)-8*x^2*exp(3)-3*exp(3)^2+x^2)","B"
9113,1,22,15,0.149000," ","int(((4*x+2)*ln(x)^2+(-2*x-2)*ln(x)+x^6+3*x^5+3*x^4+x^3)/(x^6+3*x^5+3*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right)^{2}}{x^{2} \left(x^{2}+2 x +1\right)}+x$&$22$\\ norman&$\frac{x^{5}-\frac{x^{2}}{2}+\frac{3 x^{4}}{2}-\ln \left(x \right)^{2}}{x^{2} \left(x +1\right)^{2}}$&$30$\\ \hline \end{longtable}"," ",0,"-1/x^2/(x^2+2*x+1)*ln(x)^2+x","A"
9114,1,34,25,0.165000," ","int((-x^5-6*x^4-21*x^3-96*x^2-216*x-180)*exp((-5*x^3-15*x^2+6*x+6)/(x^3+3*x^2))/(35*x^7+560*x^6+3290*x^5+8400*x^4+7875*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{-\frac{5 x^{3}+15 x^{2}-6 x -6}{x^{2} \left(3+x \right)}}}{175+35 x}$&$34$\\ risch&$\frac{{\mathrm e}^{-\frac{5 x^{3}+15 x^{2}-6 x -6}{x^{2} \left(3+x \right)}}}{175+35 x}$&$34$\\ norman&$\frac{\frac{3 x^{2} {\mathrm e}^{\frac{-5 x^{3}-15 x^{2}+6 x +6}{x^{3}+3 x^{2}}}}{35}+\frac{x^{3} {\mathrm e}^{\frac{-5 x^{3}-15 x^{2}+6 x +6}{x^{3}+3 x^{2}}}}{35}}{x^{2} \left(x^{2}+8 x +15\right)}$&$82$\\ \hline \end{longtable}"," ",0,"1/35*exp(-(5*x^3+15*x^2-6*x-6)/x^2/(3+x))/(5+x)","A"
9115,1,27,23,0.048000," ","int(1/2*(x^3*ln(3*x^3)+3*x^3-4*x+8)/x^3/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(3 x^{3}\right) x}{2 \ln \left(2\right)}+\frac{2 x -2}{x^{2} \ln \left(2\right)}$&$27$\\ default&$\frac{\frac{4}{x}-\frac{4}{x^{2}}+x \ln \left(3\right)+x \ln \left(x^{3}\right)}{2 \ln \left(2\right)}$&$28$\\ norman&$\frac{-\frac{2}{\ln \left(2\right)}+\frac{2 x}{\ln \left(2\right)}+\frac{x^{3} \ln \left(3 x^{3}\right)}{2 \ln \left(2\right)}}{x^{2}}$&$34$\\ \hline \end{longtable}"," ",0,"1/2/ln(2)*ln(3*x^3)*x+2/ln(2)*(x-1)/x^2","A"
9116,1,21,25,0.063000," ","int((-6*x^2*ln(2)-12*x^2+25)*exp(2*ln(2)-8)*exp((-2*x^3*ln(2)-4*x^3+25*x)*exp(2*ln(2)-8)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-4 x \left(2 x^{2} \ln \left(2\right)+4 x^{2}-25\right) {\mathrm e}^{-8}}$&$21$\\ gosper&${\mathrm e}^{-x \left(2 x^{2} \ln \left(2\right)+4 x^{2}-25\right) {\mathrm e}^{2 \ln \left(2\right)-8}}$&$26$\\ derivativedivides&${\mathrm e}^{\left(-2 x^{3} \ln \left(2\right)-4 x^{3}+25 x \right) {\mathrm e}^{2 \ln \left(2\right)-8}}$&$26$\\ default&${\mathrm e}^{\left(-2 x^{3} \ln \left(2\right)-4 x^{3}+25 x \right) {\mathrm e}^{2 \ln \left(2\right)-8}}$&$26$\\ norman&${\mathrm e}^{-8} {\mathrm e}^{8} {\mathrm e}^{\left(-2 x^{3} \ln \left(2\right)-4 x^{3}+25 x \right) {\mathrm e}^{2 \ln \left(2\right)-8}}$&$35$\\ \hline \end{longtable}"," ",0,"exp(-4*x*(2*x^2*ln(2)+4*x^2-25)*exp(-8))","A"
9117,1,40,21,0.065000," ","int(((4*(x^2+1)*ln(2)*exp(x)-x)*ln(4*(-x^2-1)*ln(2)*exp(x)+x)*ln(ln(4*(-x^2-1)*ln(2)*exp(x)+x))+4*(x^3-x^2-5*x-3)*ln(2)*exp(x)+3-x)/(4*(x^2+1)*ln(2)*exp(x)-x)/ln(4*(-x^2-1)*ln(2)*exp(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(4 \left(-x^{2}-1\right) \ln \left(2\right) {\mathrm e}^{x}+x \right)\right) x -3 \ln \left(\ln \left(4 \left(-x^{2}-1\right) \ln \left(2\right) {\mathrm e}^{x}+x \right)\right)$&$40$\\ \hline \end{longtable}"," ",0,"ln(ln(4*(-x^2-1)*ln(2)*exp(x)+x))*x-3*ln(ln(4*(-x^2-1)*ln(2)*exp(x)+x))","A"
9118,1,12,22,0.028000," ","int(1/2*(-5*x^2+2*x-4)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{5 x}{2}+\ln \left(x \right)+\frac{2}{x}$&$12$\\ risch&$-\frac{5 x}{2}+\ln \left(x \right)+\frac{2}{x}$&$12$\\ norman&$\frac{2-\frac{5 x^{2}}{2}}{x}+\ln \left(x \right)$&$15$\\ \hline \end{longtable}"," ",0,"-5/2*x+ln(x)+2/x","A"
9119,1,29,25,0.142000," ","int(((-5*x^3-40*x^2-10*x-80)*exp(x)+(-5*x^2-10)*exp(1)+2*x^3+7*x^2+6*x+14)*exp((-5*x-35)*exp(x)+(-5*x-35)*exp(1)+x^2+7*x)+5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}+2\right) {\mathrm e}^{-\left(x +7\right) \left(-x +5 \,{\mathrm e}+5 \,{\mathrm e}^{x}\right)}+5 x$&$29$\\ default&$5 x +x^{2} {\mathrm e}^{\left(-5 x -35\right) {\mathrm e}^{x}+\left(-5 x -35\right) {\mathrm e}+x^{2}+7 x}+2 \,{\mathrm e}^{\left(-5 x -35\right) {\mathrm e}^{x}+\left(-5 x -35\right) {\mathrm e}+x^{2}+7 x}$&$59$\\ norman&$5 x +x^{2} {\mathrm e}^{\left(-5 x -35\right) {\mathrm e}^{x}+\left(-5 x -35\right) {\mathrm e}+x^{2}+7 x}+2 \,{\mathrm e}^{\left(-5 x -35\right) {\mathrm e}^{x}+\left(-5 x -35\right) {\mathrm e}+x^{2}+7 x}$&$59$\\ \hline \end{longtable}"," ",0,"(x^2+2)*exp(-(x+7)*(-x+5*exp(1)+5*exp(x)))+5*x","A"
9120,1,20,19,0.146000," ","int(((-exp((2*x+1)/x)*exp(x)-10*x^2*exp((2*x+1)/x))*exp(5/exp(x))^2+exp(x)*x^2)/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{10 x \,{\mathrm e}^{-x}+2 x +1}{x}}+x$&$20$\\ \hline \end{longtable}"," ",0,"exp((10*x*exp(-x)+2*x+1)/x)+x","A"
9121,1,20,27,0.036000," ","int((4*x^3+168*x^2+1757*x+900)/(x^3+43*x^2+450*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x +2 \ln \left(x \right)-3 \ln \left(x^{2}+43 x +450\right)$&$20$\\ default&$4 x +2 \ln \left(x \right)-3 \ln \left(18+x \right)-3 \ln \left(x +25\right)$&$21$\\ norman&$4 x +2 \ln \left(x \right)-3 \ln \left(18+x \right)-3 \ln \left(x +25\right)$&$21$\\ \hline \end{longtable}"," ",0,"4*x+2*ln(x)-3*ln(x^2+43*x+450)","A"
9122,1,21,20,0.043000," ","int(1/4*((-exp(x)*x^2+x^2)*ln(x)+(4*x^2-x)*exp(x)+5*x^2-3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{{\mathrm e}^{x} \ln \left(x \right)}{4}+{\mathrm e}^{x}+x +\frac{3}{4 x}+\frac{x \ln \left(x \right)}{4}$&$21$\\ norman&$\frac{\frac{3}{4}+x^{2}+{\mathrm e}^{x} x +\frac{x^{2} \ln \left(x \right)}{4}-\frac{x \,{\mathrm e}^{x} \ln \left(x \right)}{4}}{x}$&$28$\\ risch&$\frac{\left(x -{\mathrm e}^{x}\right) \ln \left(x \right)}{4}+\frac{4 x^{2}+4 \,{\mathrm e}^{x} x +3}{4 x}$&$29$\\ \hline \end{longtable}"," ",0,"-1/4*exp(x)*ln(x)+exp(x)+x+3/4/x+1/4*x*ln(x)","A"
9123,1,32,18,0.049000," ","int((-4*ln(x)^3+2*x*exp(x)*ln(x)^2+(4*exp(x)-76)*ln(x)-2*x*exp(x)^2+38*exp(x)*x+2*x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)^{4}+\left(2 \,{\mathrm e}^{x}-38\right) \ln \left(x \right)^{2}+x^{2}-{\mathrm e}^{2 x}+38 \,{\mathrm e}^{x}$&$32$\\ default&$2 \,{\mathrm e}^{x} \ln \left(x \right)^{2}+38 \,{\mathrm e}^{x}+x^{2}-{\mathrm e}^{2 x}-\ln \left(x \right)^{4}-38 \ln \left(x \right)^{2}$&$35$\\ \hline \end{longtable}"," ",0,"-ln(x)^4+(2*exp(x)-38)*ln(x)^2+x^2-exp(2*x)+38*exp(x)","A"
9124,1,215,25,0.236000," ","int(((((x^4+2*x^3+2*x^2+x)*exp(x)+2*x+1)*ln(x^2)+2*x^3+4*x^2+4*x+2)*exp(exp(x))+(10*x+5)*ln(x^2)+10*x^3+20*x^2+20*x+10)/(3*x^4+6*x^3+9*x^2+6*x+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{10 \ln \left(x \right)}{3 \left(x^{2}+x +1\right)}+\frac{\frac{5 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}}{6}-\frac{5 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{3}+\frac{5 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{6}+\frac{10 x^{2} \ln \left(x \right)}{3}+\frac{10 x \ln \left(x \right)}{3}+\frac{10 \ln \left(x \right)}{3}}{x^{2}+x +1}+\frac{x \left(-i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 x \ln \left(x \right)+4 \ln \left(x \right)\right) {\mathrm e}^{{\mathrm e}^{x}}}{6 x^{2}+6 x +6}$&$215$\\ \hline \end{longtable}"," ",0,"-10/3/(x^2+x+1)*ln(x)+5/6*(I*Pi*csgn(I*x^2)*csgn(I*x)^2-2*I*Pi*csgn(I*x^2)^2*csgn(I*x)+I*Pi*csgn(I*x^2)^3+4*x^2*ln(x)+4*x*ln(x)+4*ln(x))/(x^2+x+1)+1/6*x*(-I*Pi*x*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2-I*Pi*x*csgn(I*x^2)^3-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3+4*x*ln(x)+4*ln(x))/(x^2+x+1)*exp(exp(x))","C"
9125,1,16,24,0.041000," ","int((18*x^8-72*x^7+72*x^6+x^2+26*x+4)/(x^3-4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x^{6}+\ln \left(x \right)-\frac{30}{x -2}$&$16$\\ risch&$3 x^{6}+\ln \left(x \right)-\frac{30}{x -2}$&$16$\\ norman&$\frac{3 x^{7}-6 x^{6}-30}{x -2}+\ln \left(x \right)$&$22$\\ \hline \end{longtable}"," ",0,"3*x^6+ln(x)-30/(x-2)","A"
9126,1,10,9,0.102000," ","int((x*exp(4)*exp(x)*ln(x^2)+2*exp(4)*exp(x))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x^{2}\right) {\mathrm e}^{4} {\mathrm e}^{x}$&$10$\\ default&${\mathrm e}^{4} \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right) {\mathrm e}^{x}+2 \,{\mathrm e}^{4} {\mathrm e}^{x} \ln \left(x \right)$&$24$\\ risch&$2 \,{\mathrm e}^{4+x} \ln \left(x \right)-\frac{i \left(\mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{2}\right) \mathrm{csgn}\left(i x^{2}\right) \pi  \,{\mathrm e}^{4+x}}{2}$&$56$\\ \hline \end{longtable}"," ",0,"ln(x^2)*exp(4)*exp(x)","A"
9127,1,24,24,0.322000," ","int(((2*x^2-6*x-8)*ln(-x+4)*ln(ln(-x+4))+((-2*x^2+6*x+8)*exp(4)-4*x^2+12*x+16)*ln(-x+4)-1)/((x-4)*ln(-x+4)*ln(ln(-x+4))+((-x+4)*exp(4)-2*x+8)*ln(-x+4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -\ln \left(2-\ln \left(\ln \left(-x +4\right)\right)+{\mathrm e}^{4}\right)+x^{2}$&$24$\\ norman&$2 x -\ln \left(2-\ln \left(\ln \left(-x +4\right)\right)+{\mathrm e}^{4}\right)+x^{2}$&$24$\\ risch&$x^{2}+2 x -\ln \left(-{\mathrm e}^{4}+\ln \left(\ln \left(-x +4\right)\right)-2\right)$&$24$\\ \hline \end{longtable}"," ",0,"2*x-ln(2-ln(ln(-x+4))+exp(4))+x^2","A"
9128,1,36,26,0.127000," ","int(((-2*x-1)*exp(ln(ln(5))+7/5-x)^2+2*(2*x+2)*ln(2)*exp(ln(ln(5))+7/5-x)-4*ln(2)^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(5\right)^{2} {\mathrm e}^{\frac{14}{5}-2 x}+4 \ln \left(2\right)^{2}-4 \ln \left(2\right) {\mathrm e}^{\ln \left(\ln \left(5\right)\right)+\frac{7}{5}-x}}{x}$&$36$\\ risch&$\frac{\ln \left(5\right)^{2} {\mathrm e}^{\frac{14}{5}-2 x}}{x}+\frac{4 \ln \left(2\right)^{2}}{x}-\frac{4 \ln \left(2\right) \ln \left(5\right) {\mathrm e}^{\frac{7}{5}-x}}{x}$&$40$\\ derivativedivides&$\frac{\ln \left(5\right)^{2} {\mathrm e}^{\frac{14}{5}-2 x}}{x}+\frac{4 \ln \left(2\right)^{2}}{x}-\frac{4 \ln \left(2\right) {\mathrm e}^{\ln \left(\ln \left(5\right)\right)+\frac{7}{5}-x}}{x}$&$42$\\ default&$\frac{\ln \left(5\right)^{2} {\mathrm e}^{\frac{14}{5}-2 x}}{x}+\frac{4 \ln \left(2\right)^{2}}{x}-\frac{4 \ln \left(2\right) {\mathrm e}^{\ln \left(\ln \left(5\right)\right)+\frac{7}{5}-x}}{x}$&$42$\\ \hline \end{longtable}"," ",0,"(exp(ln(ln(5))+7/5-x)^2+4*ln(2)^2-4*ln(2)*exp(ln(ln(5))+7/5-x))/x","A"
9129,1,20,15,0.031000," ","int(1/2*(4*x*ln(2)*exp(x^2)-2*x+2)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x -\frac{x^{2}}{2}+\ln \left(2\right) {\mathrm e}^{x^{2}}}{\ln \left(2\right)}$&$20$\\ norman&$\frac{x}{\ln \left(2\right)}-\frac{x^{2}}{2 \ln \left(2\right)}+{\mathrm e}^{x^{2}}$&$21$\\ risch&$\frac{x}{\ln \left(2\right)}-\frac{x^{2}}{2 \ln \left(2\right)}+{\mathrm e}^{x^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"1/ln(2)*(x-1/2*x^2+ln(2)*exp(x^2))","A"
9130,1,35,22,0.073000," ","int(((10*x^2-7*x-7)*exp(x)^2+(-80*x^2+96*x+88)*exp(x)+160*x^2-272*x-240)*exp(x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(5 x \,{\mathrm e}^{2 x}-40 \,{\mathrm e}^{x} x +4 \,{\mathrm e}^{2 x}+80 x -32 \,{\mathrm e}^{x}+64\right) {\mathrm e}^{\left(x -5\right) x}$&$35$\\ default&$64 \,{\mathrm e}^{x^{2}-5 x}+80 x \,{\mathrm e}^{x^{2}-5 x}-32 \,{\mathrm e}^{x^{2}-4 x}-40 x \,{\mathrm e}^{x^{2}-4 x}+4 \,{\mathrm e}^{x^{2}-3 x}+5 x \,{\mathrm e}^{x^{2}-3 x}$&$65$\\ norman&$80 x \,{\mathrm e}^{x^{2}-5 x}-32 \,{\mathrm e}^{x} {\mathrm e}^{x^{2}-5 x}+4 \,{\mathrm e}^{2 x} {\mathrm e}^{x^{2}-5 x}+5 x \,{\mathrm e}^{2 x} {\mathrm e}^{x^{2}-5 x}-40 \,{\mathrm e}^{x} x \,{\mathrm e}^{x^{2}-5 x}+64 \,{\mathrm e}^{x^{2}-5 x}$&$77$\\ \hline \end{longtable}"," ",0,"(5*x*exp(2*x)-40*exp(x)*x+4*exp(2*x)+80*x-32*exp(x)+64)*exp((x-5)*x)","A"
9131,1,46,20,0.051000," ","int(1/2*(9*x^2+45*x+54)*ln(19)^2*exp(x)^2+1/2*(9*x^2+66*x+108)*ln(19)*exp(x)+9/2*x+15,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(19\right)^{2} \left(18+18 x +\frac{9}{2} x^{2}\right) {\mathrm e}^{2 x}}{2}+\frac{\ln \left(19\right) \left(9 x^{2}+48 x +60\right) {\mathrm e}^{x}}{2}+\frac{9 x^{2}}{4}+15 x$&$46$\\ default&$15 x +\frac{9 x^{2}}{4}+\frac{9 \,{\mathrm e}^{2 x} \ln \left(19\right)^{2} x^{2}}{4}+9 \ln \left(19\right)^{2} {\mathrm e}^{2 x} x +9 \ln \left(19\right)^{2} {\mathrm e}^{2 x}+\frac{9 \,{\mathrm e}^{x} \ln \left(19\right) x^{2}}{2}+24 x \,{\mathrm e}^{x} \ln \left(19\right)+30 \ln \left(19\right) {\mathrm e}^{x}$&$66$\\ norman&$15 x +\frac{9 x^{2}}{4}+\frac{9 \,{\mathrm e}^{2 x} \ln \left(19\right)^{2} x^{2}}{4}+9 \ln \left(19\right)^{2} {\mathrm e}^{2 x} x +9 \ln \left(19\right)^{2} {\mathrm e}^{2 x}+\frac{9 \,{\mathrm e}^{x} \ln \left(19\right) x^{2}}{2}+24 x \,{\mathrm e}^{x} \ln \left(19\right)+30 \ln \left(19\right) {\mathrm e}^{x}$&$66$\\ \hline \end{longtable}"," ",0,"1/2*ln(19)^2*(18+18*x+9/2*x^2)*exp(2*x)+1/2*ln(19)*(9*x^2+48*x+60)*exp(x)+9/4*x^2+15*x","B"
9132,1,28,26,0.049000," ","int(((20*x^6-5*x^2)*exp(2/3)-320*x^4+240)/((x^3*exp(2/3)-16*x)*ln(-x^3/(x^2*exp(2/3)-16))^2+((-2*x^7+8*x^3)*exp(2/3)+32*x^5-128*x)*ln(-x^3/(x^2*exp(2/3)-16))+(x^11-8*x^7+16*x^3)*exp(2/3)-16*x^9+128*x^5-256*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5}{x^{4}-\ln \left(-\frac{x^{3}}{x^{2} {\mathrm e}^{\frac{2}{3}}-16}\right)-4}$&$28$\\ \hline \end{longtable}"," ",0,"-5/(x^4-ln(-x^3/(x^2*exp(2/3)-16))-4)","A"
9133,1,17,16,0.115000," ","int(((-45*x+4)*ln(6)-x^4)*exp((15*x-1)*ln(6)/x^4)/x^6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{\frac{\left(15 x -1\right) \ln \left(6\right)}{x^{4}}}}{x}$&$17$\\ norman&$\frac{{\mathrm e}^{\frac{\left(15 x -1\right) \ln \left(6\right)}{x^{4}}}}{x}$&$17$\\ risch&$\frac{{\mathrm e}^{\frac{\left(15 x -1\right) \left(\ln \left(2\right)+\ln \left(3\right)\right)}{x^{4}}}}{x}$&$20$\\ \hline \end{longtable}"," ",0,"exp((15*x-1)*ln(6)/x^4)/x","A"
9134,1,6,11,0.034000," ","int(1/x/exp(6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-6} \ln \left(x \right)$&$6$\\ default&${\mathrm e}^{-6} \ln \left(x \right)$&$8$\\ norman&${\mathrm e}^{-6} \ln \left(x \right)$&$8$\\ \hline \end{longtable}"," ",0,"exp(-6)*ln(x)","A"
9135,1,24,25,0.036000," ","int((-x*ln(exp(2)*x)+(-2*x^3+8*x^2+4*x)*exp(2*x)+5*x-4)*exp((ln(exp(2)*x)-x*exp(2*x)-x)/(x-4))/(x^3-8*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-\ln \left({\mathrm e}^{2} x \right)+x \,{\mathrm e}^{2 x}+x}{x -4}}$&$24$\\ \hline \end{longtable}"," ",0,"exp(-(-ln(exp(2)*x)+x*exp(2*x)+x)/(x-4))","A"
9136,1,19,21,0.129000," ","int(((12*exp(16)^2+(24*x+8)*exp(16)+12*x^2)*exp(x)+15*exp(16)^2+40*x*exp(16)+15*x^2)/((12*exp(16)^2+24*x*exp(16)+12*x^2)*exp(x)+15*x*exp(16)^2+30*x^2*exp(16)+15*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \,{\mathrm e}^{16}}{3 \left(x +{\mathrm e}^{16}\right)}+\ln \left(\frac{5 x}{4}+{\mathrm e}^{x}\right)$&$19$\\ norman&$-\frac{2 \,{\mathrm e}^{16}}{3 \left(x +{\mathrm e}^{16}\right)}+\ln \left(5 x +4 \,{\mathrm e}^{x}\right)$&$21$\\ \hline \end{longtable}"," ",0,"-2/3*exp(16)/(x+exp(16))+ln(5/4*x+exp(x))","A"
9137,1,68,17,0.074000," ","int((576*x^2-3168*x+4320)*exp(x)^4+(3456*x^2-18432*x+24192)*exp(x)^3+(6912*x^2-34560*x+41472)*exp(x)^2+(4608*x^2-18432*x+13824)*exp(x)+4608*x-13824,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(144 x^{2}-864 x +1296\right) {\mathrm e}^{4 x}+\left(1152 x^{2}-6912 x +10368\right) {\mathrm e}^{3 x}+\left(3456 x^{2}-20736 x +31104\right) {\mathrm e}^{2 x}+\left(4608 x^{2}-27648 x +41472\right) {\mathrm e}^{x}+2304 x^{2}-13824 x$&$68$\\ default&$-13824 x +1296 \,{\mathrm e}^{4 x}+144 x^{2} {\mathrm e}^{4 x}-864 x \,{\mathrm e}^{4 x}+10368 \,{\mathrm e}^{3 x}-6912 x \,{\mathrm e}^{3 x}+1152 x^{2} {\mathrm e}^{3 x}+4608 \,{\mathrm e}^{x} x^{2}-27648 \,{\mathrm e}^{x} x +41472 \,{\mathrm e}^{x}+3456 \,{\mathrm e}^{2 x} x^{2}-20736 x \,{\mathrm e}^{2 x}+31104 \,{\mathrm e}^{2 x}+2304 x^{2}$&$92$\\ norman&$-13824 x +1296 \,{\mathrm e}^{4 x}+144 x^{2} {\mathrm e}^{4 x}-864 x \,{\mathrm e}^{4 x}+10368 \,{\mathrm e}^{3 x}-6912 x \,{\mathrm e}^{3 x}+1152 x^{2} {\mathrm e}^{3 x}+4608 \,{\mathrm e}^{x} x^{2}-27648 \,{\mathrm e}^{x} x +41472 \,{\mathrm e}^{x}+3456 \,{\mathrm e}^{2 x} x^{2}-20736 x \,{\mathrm e}^{2 x}+31104 \,{\mathrm e}^{2 x}+2304 x^{2}$&$92$\\ \hline \end{longtable}"," ",0,"(144*x^2-864*x+1296)*exp(4*x)+(1152*x^2-6912*x+10368)*exp(3*x)+(3456*x^2-20736*x+31104)*exp(2*x)+(4608*x^2-27648*x+41472)*exp(x)+2304*x^2-13824*x","B"
9138,1,592,26,0.351000," ","int(((4*x*exp(x+15)^2+(8*x^2+8*x)*exp(x+15)+16*x^2+4)*ln(3*x^2)+4*x*exp(x+15)^4+(24*x^2+8*x)*exp(x+15)^3+(4*x*ln(2)+48*x^3+48*x^2+4)*exp(x+15)^2+((8*x^2+8*x)*ln(2)+32*x^4+96*x^3+16*x)*exp(x+15)+(16*x^2+4)*ln(2)+64*x^4+16*x^2-x)/(x*ln(3*x^2)^2+(2*x*exp(x+15)^2+8*x^2*exp(x+15)+2*x*ln(2)+8*x^3)*ln(3*x^2)+x*exp(x+15)^4+8*x^2*exp(x+15)^3+(2*x*ln(2)+24*x^3)*exp(x+15)^2+(8*x^2*ln(2)+32*x^4)*exp(x+15)+x*ln(2)^2+8*x^3*ln(2)+16*x^5-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-\frac{x}{4}+2 x^{2} \ln \left(3\right)+\frac{\ln \left(3\right)^{2}}{4}+\frac{\ln \left(2\right)^{2}}{4}+\ln \left(x \right)^{2}+4 x^{4}+2 x^{2} \ln \left(2\right)-i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}-\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{2 x +30}}{4}-\frac{i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x^{2}\right)^{3}}{4}-\frac{i \ln \left(3\right) \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{4}+\frac{\ln \left(2\right) \ln \left(3\right)}{2}+\frac{{\mathrm e}^{4 x +60}}{4}+6 \,{\mathrm e}^{2 x +30} x^{2}+\frac{\ln \left(3\right) {\mathrm e}^{2 x +30}}{2}+\frac{\ln \left(2\right) {\mathrm e}^{2 x +30}}{2}+2 \,{\mathrm e}^{3 x +45} x -i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{x +15}+2 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{x +15}+8 \,{\mathrm e}^{x +15} x^{3}-\frac{\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}}{16}+\left(4 x^{2}-\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}}{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\ln \left(3\right)+4 x \,{\mathrm e}^{x +15}+{\mathrm e}^{2 x +30}+\ln \left(2\right)\right) \ln \left(x \right)+\frac{\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{5} \mathrm{csgn}\left(i x \right)}{4}-\frac{3 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}}{8}+\frac{\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)^{3}}{4}-\frac{\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{4}}{16}+2 \,{\mathrm e}^{x +15} \ln \left(2\right) x -\frac{i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) {\mathrm e}^{2 x +30}}{4}+\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} {\mathrm e}^{2 x +30}}{2}+\frac{i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{2}-\frac{i \ln \left(3\right) \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{4}+\frac{i \ln \left(3\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}}{2}-i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3} {\mathrm e}^{x +15}+2 \,{\mathrm e}^{x +15} \ln \left(3\right) x -\frac{i \pi  \ln \left(2\right) \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{4}-i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)$&$592$\\ \hline \end{longtable}"," ",0,"ln(-1/4*x+2*x^2*ln(3)+1/4*ln(3)^2+1/4*ln(2)^2+ln(x)^2+4*x^4+2*x^2*ln(2)-1/4*I*Pi*csgn(I*x^2)^3*exp(2*x+30)-1/4*I*Pi*ln(2)*csgn(I*x^2)^3-1/4*I*ln(3)*Pi*csgn(I*x^2)^3+1/2*ln(2)*ln(3)+1/4*exp(4*x+60)+6*exp(2*x+30)*x^2+1/2*ln(3)*exp(2*x+30)+1/2*ln(2)*exp(2*x+30)+2*exp(3*x+45)*x+8*exp(x+15)*x^3-1/4*I*Pi*csgn(I*x)^2*csgn(I*x^2)*exp(2*x+30)+1/2*I*Pi*csgn(I*x)*csgn(I*x^2)^2*exp(2*x+30)-I*Pi*x*csgn(I*x)^2*csgn(I*x^2)*exp(x+15)+2*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2*exp(x+15)+1/4*Pi^2*csgn(I*x^2)^5*csgn(I*x)-3/8*Pi^2*csgn(I*x^2)^4*csgn(I*x)^2+1/4*Pi^2*csgn(I*x^2)^3*csgn(I*x)^3-1/16*Pi^2*csgn(I*x^2)^2*csgn(I*x)^4+1/2*I*Pi*ln(2)*csgn(I*x)*csgn(I*x^2)^2-1/4*I*ln(3)*Pi*csgn(I*x)^2*csgn(I*x^2)+1/2*I*ln(3)*Pi*csgn(I*x)*csgn(I*x^2)^2-1/16*Pi^2*csgn(I*x^2)^6+2*exp(x+15)*ln(2)*x+(4*x^2-1/2*I*Pi*csgn(I*x^2)^3-1/2*I*Pi*csgn(I*x^2)*csgn(I*x)^2+I*Pi*csgn(I*x^2)^2*csgn(I*x)+ln(3)+4*x*exp(x+15)+exp(2*x+30)+ln(2))*ln(x)-I*Pi*x^2*csgn(I*x^2)^3+2*exp(x+15)*ln(3)*x-I*Pi*x*csgn(I*x^2)^3*exp(x+15)-1/4*I*Pi*ln(2)*csgn(I*x)^2*csgn(I*x^2)-I*Pi*x^2*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*x^2*csgn(I*x)*csgn(I*x^2)^2)","C"
9139,1,57,33,0.513000," ","int((((2*x^3-2*x^2-2*x-2)*ln((-x^2+1)/x)-2*x^4+2*x^3+2*x^2+2*x)*exp(-ln((-x^2+1)/x)^2+2*x*ln((-x^2+1)/x)+exp(2)-x^2)-24*x^8+160*x^7-232*x^6-160*x^5+256*x^4)/(x^3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-\ln \left(\frac{-x^{2}+1}{x}\right)^{2}+2 x \ln \left(\frac{-x^{2}+1}{x}\right)+{\mathrm e}^{2}-x^{2}}-4 x^{6}+32 x^{5}-64 x^{4}$&$57$\\ risch&$\left(\frac{-x^{2}+1}{x}\right)^{2 x} {\mathrm e}^{-\ln \left(\frac{-x^{2}+1}{x}\right)^{2}+{\mathrm e}^{2}-x^{2}}-4 x^{6}+32 x^{5}-64 x^{4}$&$58$\\ \hline \end{longtable}"," ",0,"exp(-ln((-x^2+1)/x)^2+2*x*ln((-x^2+1)/x)+exp(2)-x^2)-4*x^6+32*x^5-64*x^4","A"
9140,1,172,24,0.558000," ","int(((-32*x*ln(3)*exp(x)*ln(x)^2-189*x*ln(3)*exp(x)*ln(x)-279*x*ln(3)*exp(x))*ln((32*ln(x)+93)/(3+ln(x)))+((-32*x^2-32*x)*ln(3)*exp(x)-96*x)*ln(x)^2+((-189*x^2-189*x)*ln(3)*exp(x)-567*x)*ln(x)+(-279*x^2-279*x-3)*ln(3)*exp(x)-837*x)/(96*x*ln(x)^2+567*x*ln(x)+837*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(3\right) {\mathrm e}^{x} \ln \left(\ln \left(x \right)+\frac{93}{32}\right)}{3}+\frac{\ln \left(3\right) {\mathrm e}^{x} \ln \left(3+\ln \left(x \right)\right)}{3}-x +\frac{i \pi  \ln \left(3\right) \mathrm{csgn}\left(\frac{i}{3+\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+\frac{93}{32}\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+\frac{93}{32}\right)}{3+\ln \left(x \right)}\right) {\mathrm e}^{x}}{6}-\frac{i \pi  \ln \left(3\right) \mathrm{csgn}\left(\frac{i}{3+\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+\frac{93}{32}\right)}{3+\ln \left(x \right)}\right)^{2} {\mathrm e}^{x}}{6}-\frac{i \pi  \ln \left(3\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+\frac{93}{32}\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+\frac{93}{32}\right)}{3+\ln \left(x \right)}\right)^{2} {\mathrm e}^{x}}{6}+\frac{i \pi  \ln \left(3\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+\frac{93}{32}\right)}{3+\ln \left(x \right)}\right)^{3} {\mathrm e}^{x}}{6}-\frac{5 \,{\mathrm e}^{x} \ln \left(3\right) \ln \left(2\right)}{3}-\frac{x \ln \left(3\right) {\mathrm e}^{x}}{3}$&$172$\\ \hline \end{longtable}"," ",0,"-1/3*ln(3)*exp(x)*ln(ln(x)+93/32)+1/3*ln(3)*exp(x)*ln(3+ln(x))-x+1/6*I*Pi*ln(3)*csgn(I/(3+ln(x)))*csgn(I*(ln(x)+93/32))*csgn(I/(3+ln(x))*(ln(x)+93/32))*exp(x)-1/6*I*Pi*ln(3)*csgn(I/(3+ln(x)))*csgn(I/(3+ln(x))*(ln(x)+93/32))^2*exp(x)-1/6*I*Pi*ln(3)*csgn(I*(ln(x)+93/32))*csgn(I/(3+ln(x))*(ln(x)+93/32))^2*exp(x)+1/6*I*Pi*ln(3)*csgn(I/(3+ln(x))*(ln(x)+93/32))^3*exp(x)-5/3*exp(x)*ln(3)*ln(2)-1/3*x*ln(3)*exp(x)","C"
9141,1,51,27,0.146000," ","int((40*x^2*ln(x)+(40*x^3-40*x^2)*exp(x)+4*x^3-40*x^2)*exp((-5*ln(x)+5*exp(x))/x)^8+((-40*x^2-40*x)*ln(x)+(-40*x^3+40*x)*exp(x)-8*x^3+34*x^2+40*x)*exp((-5*ln(x)+5*exp(x))/x)^4+4*x^3+6*x^2+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4} {\mathrm e}^{\frac{40 \,{\mathrm e}^{x}-40 \ln \left(x \right)}{x}}-2 x^{3} \left(x +1\right) {\mathrm e}^{\frac{-20 \ln \left(x \right)+20 \,{\mathrm e}^{x}}{x}}+x^{4}+2 x^{3}+x^{2}$&$51$\\ \hline \end{longtable}"," ",0,"x^4*exp(40*(exp(x)-ln(x))/x)-2*x^3*(x+1)*exp(20*(exp(x)-ln(x))/x)+x^4+2*x^3+x^2","A"
9142,1,27,35,0.346000," ","int((((16*x^3+12*x^2)*exp(1)^2+2*x^4-4*x^2)*exp((2*x^2+3*x+4)/(4*exp(1)^2+x))-240*exp(1)^4-120*x*exp(1)^2-15*x^2)/(16*x^2*exp(1)^4+8*x^3*exp(1)^2+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{15}{x}+{\mathrm e}^{\frac{2 x^{2}+3 x +4}{4 \,{\mathrm e}^{2}+x}}$&$27$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{2 x^{2}+3 x +4}{4 \,{\mathrm e}^{2}+x}}+15 x +60 \,{\mathrm e}^{2}+4 x \,{\mathrm e}^{2} {\mathrm e}^{\frac{2 x^{2}+3 x +4}{4 \,{\mathrm e}^{2}+x}}}{x \left(4 \,{\mathrm e}^{2}+x \right)}$&$80$\\ \hline \end{longtable}"," ",0,"15/x+exp((2*x^2+3*x+4)/(4*exp(2)+x))","A"
9143,1,16,17,0.144000," ","int((6*x-6)*ln(2)*exp((x^2-2*x)*ln(2)-5)/(3*exp((x^2-2*x)*ln(2)-5)-20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5+\ln \left(2^{\left(x -2\right) x} {\mathrm e}^{-5}-\frac{20}{3}\right)$&$16$\\ norman&$\ln \left(3 \,{\mathrm e}^{\left(x^{2}-2 x \right) \ln \left(2\right)-5}-20\right)$&$19$\\ \hline \end{longtable}"," ",0,"5+ln(2^((x-2)*x)*exp(-5)-20/3)","A"
9144,1,23,24,0.052000," ","int(((-exp(ln(3)^2+2*ln(2/3)*ln(3)+ln(2/3)^2)+exp(1)+2*x)*ln(x)+exp(ln(3)^2+2*ln(2/3)*ln(3)+ln(2/3)^2)-exp(1)-x^2-x)/(ln(x)^2-2*x*ln(x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x +{\mathrm e}-{\mathrm e}^{\ln \left(2\right)^{2}}\right) x}{x -\ln \left(x \right)}$&$23$\\ norman&$\frac{\left(-{\mathrm e}+{\mathrm e}^{\ln \left(2\right)^{2}}\right) \ln \left(x \right)-x^{2}}{x -\ln \left(x \right)}$&$29$\\ \hline \end{longtable}"," ",0,"-(x+exp(1)-exp(ln(2)^2))*x/(x-ln(x))","A"
9145,1,44,28,0.181000," ","int((-32*ln(x)^2+((-32*x*ln(5)+16)*exp(4*x*ln(5))-24*x+32)*ln(x)+(8*x*ln(5)-2)*exp(4*x*ln(5))^2+(-24*x^2*ln(5)+6*x-8)*exp(4*x*ln(5))+24*x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{16 \ln \left(x \right)^{2}}{x^{2}}+\frac{8 \left(3 x -625^{x}\right) \ln \left(x \right)}{x^{2}}-\frac{625^{x} \left(6 x -625^{x}\right)}{x^{2}}$&$44$\\ default&$\frac{-6 \,{\mathrm e}^{4 x \ln \left(5\right)} x -8 \ln \left(x \right) {\mathrm e}^{4 x \ln \left(5\right)}}{x^{2}}+\frac{16 \ln \left(x \right)^{2}}{x^{2}}+\frac{24 \ln \left(x \right)}{x}+\frac{{\mathrm e}^{8 x \ln \left(5\right)}}{x^{2}}$&$54$\\ \hline \end{longtable}"," ",0,"16*ln(x)^2/x^2+8*(3*x-625^x)/x^2*ln(x)-625^x*(6*x-625^x)/x^2","A"
9146,1,10,11,0.036000," ","int(-2*x*ln(5)*exp((-x^2+2)*ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5^{-x^{2}+2}$&$10$\\ gosper&${\mathrm e}^{-\left(x^{2}-2\right) \ln \left(5\right)}$&$11$\\ derivativedivides&${\mathrm e}^{\left(-x^{2}+2\right) \ln \left(5\right)}$&$12$\\ default&${\mathrm e}^{\left(-x^{2}+2\right) \ln \left(5\right)}$&$12$\\ norman&${\mathrm e}^{\left(-x^{2}+2\right) \ln \left(5\right)}$&$12$\\ meijerg&$-25+25 \,{\mathrm e}^{-x^{2} \ln \left(5\right)}$&$13$\\ \hline \end{longtable}"," ",0,"5^(-x^2+2)","A"
9147,1,23,22,0.063000," ","int((((-exp(x)*x-2*x)*exp(x+9)-x*exp(x)^2+(x^2+2*x)*exp(x)+x^2+5*x)*exp(exp(x)+x)+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{x}+x} \left(x -{\mathrm e}^{x}-{\mathrm e}^{x +9}+4\right)+\ln \left(x \right)$&$23$\\ norman&${\mathrm e}^{{\mathrm e}^{x}+x} x +\left(-{\mathrm e}^{9}-1\right) {\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{x}+x}+4 \,{\mathrm e}^{{\mathrm e}^{x}+x}+\ln \left(x \right)$&$32$\\ \hline \end{longtable}"," ",0,"exp(exp(x)+x)*(x-exp(x)-exp(x+9)+4)+ln(x)","A"
9148,1,62,21,0.102000," ","int(((-2*exp(4*x)-2)*ln(exp(4*x)+1)+(6*x*exp(4*x)+2*x)*ln(x^2)-4*x*exp(4*x)-4*x)/((x*exp(4*x)+x)*ln(x^2)*ln(exp(4*x)+1)+(2*x^2*exp(4*x)+2*x^2)*ln(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(\mathrm{csgn}\left(i x \right)^{2}-2 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{4}\right)+\ln \left(\ln \left({\mathrm e}^{4 x}+1\right)+2 x \right)$&$62$\\ \hline \end{longtable}"," ",0,"-ln(ln(x)-1/4*I*Pi*csgn(I*x^2)*(csgn(I*x)^2-2*csgn(I*x^2)*csgn(I*x)+csgn(I*x^2)^2))+ln(ln(exp(4*x)+1)+2*x)","C"
9149,1,47,33,0.109000," ","int(1/25*((100*x^2*exp(5)*exp(3-x)+(-3*x^4-2*x^3)*exp(5))*exp(3*x)+(100*x^2+100*x+100)*exp(5)*exp(3-x)+(4*x^3+2*x^2)*exp(5))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{2} {\mathrm e}^{5}}{25}+\frac{2 x \,{\mathrm e}^{5}}{25}-\frac{x^{2} {\mathrm e}^{3 x +5}}{25}+2 \,{\mathrm e}^{2 x +8}-\frac{4 \left(x +1\right) {\mathrm e}^{8-x}}{x}$&$47$\\ norman&$\frac{\left(-4 \,{\mathrm e}^{3} {\mathrm e}^{5}-4 x \,{\mathrm e}^{3} {\mathrm e}^{5}+\frac{2 x^{2} {\mathrm e}^{5} {\mathrm e}^{x}}{25}+\frac{2 x^{3} {\mathrm e}^{5} {\mathrm e}^{x}}{25}-\frac{x^{3} {\mathrm e}^{5} {\mathrm e}^{4 x}}{25}+2 x \,{\mathrm e}^{3} {\mathrm e}^{5} {\mathrm e}^{3 x}\right) {\mathrm e}^{-x}}{x}$&$63$\\ default&$\frac{2 x^{2} {\mathrm e}^{5}}{25}-\frac{2 \,{\mathrm e}^{5} \left(\frac{x \,{\mathrm e}^{3 x}}{3}-\frac{{\mathrm e}^{3 x}}{9}\right)}{25}-\frac{3 \,{\mathrm e}^{5} \left(\frac{x^{2} {\mathrm e}^{3 x}}{3}-\frac{2 x \,{\mathrm e}^{3 x}}{9}+\frac{2 \,{\mathrm e}^{3 x}}{27}\right)}{25}-4 \,{\mathrm e}^{5} {\mathrm e}^{3} {\mathrm e}^{-x}+2 \,{\mathrm e}^{2 x} {\mathrm e}^{5} {\mathrm e}^{3}+4 \,{\mathrm e}^{3} {\mathrm e}^{5} \left(-\frac{{\mathrm e}^{-x}}{x}+\expIntegralEi \left(1, x\right)\right)-4 \,{\mathrm e}^{3} {\mathrm e}^{5} \expIntegralEi \left(1, x\right)+\frac{2 x \,{\mathrm e}^{5}}{25}$&$107$\\ \hline \end{longtable}"," ",0,"2/25*x^2*exp(5)+2/25*x*exp(5)-1/25*x^2*exp(3*x+5)+2*exp(2*x+8)-4*(x+1)/x*exp(8-x)","A"
9150,1,18,16,0.149000," ","int((-2*x^3+2*x^2+5)*exp((-x^3+2*x^2-x-5)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{-\frac{x^{3}-2 x^{2}+x +5}{x}}$&$18$\\ risch&${\mathrm e}^{-\frac{x^{3}-2 x^{2}+x +5}{x}}$&$18$\\ norman&${\mathrm e}^{\frac{-x^{3}+2 x^{2}-x -5}{x}}$&$21$\\ \hline \end{longtable}"," ",0,"exp(-(x^3-2*x^2+x+5)/x)","A"
9151,1,25,18,0.075000," ","int(((15*x^2+30*x+15)*exp(x)-15*x^2-30*x+75)/((x^2+2*x+1)*exp(x)^2+(-2*x^3-22*x^2-50*x-30)*exp(x)+x^4+20*x^3+130*x^2+300*x+225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{15 x +15}{x^{2}-{\mathrm e}^{x} x +10 x -{\mathrm e}^{x}+15}$&$25$\\ norman&$\frac{15 x +15}{x^{2}-{\mathrm e}^{x} x +10 x -{\mathrm e}^{x}+15}$&$26$\\ \hline \end{longtable}"," ",0,"15*(x+1)/(x^2-exp(x)*x+10*x-exp(x)+15)","A"
9152,1,16,17,0.566000," ","int(((2*x^2+4*x+2)*exp(2*x)+2*x^2+4*x+29)/(x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\frac{27}{x +1}+{\mathrm e}^{2 x}$&$16$\\ derivativedivides&$2 x -\frac{54}{2 x +2}+{\mathrm e}^{2 x}$&$18$\\ default&$2 x -\frac{54}{2 x +2}+{\mathrm e}^{2 x}$&$18$\\ norman&$\frac{x \,{\mathrm e}^{2 x}+2 x^{2}-29+{\mathrm e}^{2 x}}{x +1}$&$24$\\ \hline \end{longtable}"," ",0,"2*x-27/(x+1)+exp(2*x)","A"
9153,1,18,19,0.079000," ","int((-4*x^4*exp(16)^2+(40*x^3-16*x)*exp(16)-100*x^2+40)/(x^4*exp(16)^2-10*x^3*exp(16)+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x +\frac{8}{x \left(x \,{\mathrm e}^{16}-5\right)}$&$18$\\ gosper&$-\frac{4 \left(x^{3} {\mathrm e}^{16}-5 x^{2}-2\right)}{x \left(x \,{\mathrm e}^{16}-5\right)}$&$27$\\ norman&$\frac{8+20 x^{2}-4 x^{3} {\mathrm e}^{16}}{x \left(x \,{\mathrm e}^{16}-5\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-4*x+8/x/(x*exp(16)-5)","A"
9154,1,44,35,0.812000," ","int((((4*ln(4/x)+8*x-4)*ln(2*x)^2+(-24*ln(4/x)-48*x+24)*ln(2*x)+36*ln(4/x)+72*x-36)*exp(x*ln(4/x)+x^2)^2+(-20*x+10)*ln(2*x)+70*x-40)/(ln(2*x)^2-6*ln(2*x)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{20 i x \left(x -1\right)}{2 i \ln \left(2\right)+2 i \ln \left(x \right)-6 i}+2 \,4^{2 x} x^{-2 x} {\mathrm e}^{2 x^{2}}$&$44$\\ default&$\frac{-10 x^{2}+10 x}{\ln \left(2\right)+\ln \left(x \right)-3}+\frac{\left(2 \ln \left(2\right)-6\right) {\mathrm e}^{2 \left(\ln \left(\frac{4}{x}\right)+x \right) x}+2 \ln \left(x \right) {\mathrm e}^{2 \left(\ln \left(\frac{4}{x}\right)+x \right) x}}{\ln \left(2\right)+\ln \left(x \right)-3}$&$65$\\ \hline \end{longtable}"," ",0,"-20*I*x*(x-1)/(2*I*ln(2)+2*I*ln(x)-6*I)+2*(4^x)^2*(x^(-x))^2*exp(2*x^2)","C"
9155,1,25,26,0.134000," ","int(((2*x*exp(5)*exp(x)-4*x^2*exp(5))*exp(exp(5)/(exp(x)-x^2))+(1-2*x)*exp(x)^2+(4*x^3-2*x^2)*exp(x)-2*x^5+x^4)*exp(x/exp(2*exp(exp(5)/(exp(x)-x^2))+2*x))/(exp(x)^2-2*exp(x)*x^2+x^4)/exp(2*exp(exp(5)/(exp(x)-x^2))+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x \,{\mathrm e}^{-2 \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{{\mathrm e}^{x}-x^{2}}}-2 x}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(x*exp(-2*exp(exp(5)/(exp(x)-x^2))-2*x))","A"
9156,1,21,26,0.528000," ","int(((-3750*x^7+13125*x^6)*exp(x-5)-46875*x^8+131250*x^6)/(432*exp(x-5)^3+(-10800*x^2+12960)*exp(x-5)^2+(90000*x^4-216000*x^2+129600)*exp(x-5)-250000*x^6+900000*x^4-1080000*x^2+432000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{625 x^{7}}{16 \left(25 x^{2}-3 \,{\mathrm e}^{x -5}-30\right)^{2}}$&$21$\\ \hline \end{longtable}"," ",0,"625/16*x^7/(25*x^2-3*exp(x-5)-30)^2","A"
9157,1,15,18,0.128000," ","int((-30*exp(1)-225*x+150)/(4*x^3*exp(1)^2+(40*x^4-40*x^3)*exp(1)+100*x^5-200*x^4+100*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{15}{4 x^{2} \left(-5+{\mathrm e}+5 x \right)}$&$15$\\ norman&$\frac{15}{4 x^{2} \left(-5+{\mathrm e}+5 x \right)}$&$15$\\ risch&$\frac{15}{4 x^{2} \left(-5+{\mathrm e}+5 x \right)}$&$15$\\ \hline \end{longtable}"," ",0,"15/4/x^2/(-5+exp(1)+5*x)","A"
9158,1,19,20,0.282000," ","int(((27*x^5-144*x^4+180*x^3)*ln(x-2)-27*x^5+45*x^4)/(216*x^4-1512*x^3+3960*x^2-4600*x+2000)/ln(x-2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{9 x^{4}}{16 \left(3 x -5\right)^{2} \ln \left(x -2\right)^{2}}$&$19$\\ risch&$\frac{9 x^{4}}{16 \left(3 x -5\right)^{2} \ln \left(x -2\right)^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"9/16*x^4/(3*x-5)^2/ln(x-2)^2","A"
9159,1,25,22,0.636000," ","int(((120*ln(5)-156)*ln(x)+2*(-20*x+60)*ln(5)+52*x-156)/(2*(5*x^2-30*x+45)*ln(5)-18*x^2+108*x-162),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{2 \left(10 \ln \left(5\right)-13\right) x \ln \left(x \right)}{\left(5 \ln \left(5\right)-9\right) \left(x -3\right)}$&$25$\\ risch&$-\frac{6 \left(10 \ln \left(5\right)-13\right) \ln \left(x \right)}{5 x \ln \left(5\right)-15 \ln \left(5\right)-9 x +27}-\frac{20 \ln \left(x \right) \ln \left(5\right)}{5 \ln \left(5\right)-9}+\frac{26 \ln \left(x \right)}{5 \ln \left(5\right)-9}$&$54$\\ default&$-\frac{20 \ln \left(\left(5 \ln \left(5\right)-9\right) x -15 \ln \left(5\right)+27\right) \ln \left(5\right)}{5 \ln \left(5\right)-9}+\frac{26 \ln \left(\left(5 \ln \left(5\right)-9\right) x -15 \ln \left(5\right)+27\right)}{5 \ln \left(5\right)-9}+\frac{20 \ln \left(5\right) \ln \left(x -3\right)}{5 \ln \left(5\right)-9}-\frac{20 \ln \left(5\right) \ln \left(x \right) x}{\left(5 \ln \left(5\right)-9\right) \left(x -3\right)}-\frac{26 \ln \left(x -3\right)}{5 \ln \left(5\right)-9}+\frac{26 \ln \left(x \right) x}{\left(5 \ln \left(5\right)-9\right) \left(x -3\right)}$&$122$\\ \hline \end{longtable}"," ",0,"-2*(10*ln(5)-13)/(5*ln(5)-9)*x*ln(x)/(x-3)","A"
9160,1,31,29,0.167000," ","int((((2*x^2-2*x)*exp(4)-3)*ln((-2*x^2+2*x)*exp(4)+3)+(-2*x^4+10*x^3-2*x^2-4)*exp(4)+3*x^2-12*x-15)/((2*x^4-10*x^3+16*x^2-8*x)*exp(4)-3*x^2+12*x-12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\ln \left(\left(-2 x^{2}+2 x \right) {\mathrm e}^{4}+3\right)-x^{2}-5}{x -2}$&$31$\\ risch&$-\frac{\ln \left(\left(-2 x^{2}+2 x \right) {\mathrm e}^{4}+3\right)}{x -2}-\frac{x^{2}-2 x +9}{x -2}$&$39$\\ \hline \end{longtable}"," ",0,"(-ln((-2*x^2+2*x)*exp(4)+3)-x^2-5)/(x-2)","A"
9161,1,62,29,0.069000," ","int((-6*x^2*exp((-x^2+x)*ln(x)-x^3+x^2)^2+((-4*x^3+x)*ln(21/5)*ln(x)+(-6*x^4-x^3+3*x^2+5*x+1)*ln(21/5))*exp((-x^2+x)*ln(x)-x^3+x^2))/(18*x^2*exp((-x^2+x)*ln(x)-x^3+x^2)^2-12*x*ln(21/5)*exp((-x^2+x)*ln(x)-x^3+x^2)+2*ln(21/5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{3}+\frac{2 x \ln \left(7\right)-2 x \ln \left(5\right)+2 x \ln \left(3\right)+\ln \left(7\right)-\ln \left(5\right)+\ln \left(3\right)}{-18 x \,x^{-x \left(x -1\right)} {\mathrm e}^{-x^{2} \left(x -1\right)}+6 \ln \left(7\right)-6 \ln \left(5\right)+6 \ln \left(3\right)}$&$62$\\ \hline \end{longtable}"," ",0,"-1/3*x+1/6*(2*x*ln(7)-2*x*ln(5)+2*x*ln(3)+ln(7)-ln(5)+ln(3))/(-3*x*x^(-x*(x-1))*exp(-x^2*(x-1))+ln(7)-ln(5)+ln(3))","B"
9162,1,25,23,0.040000," ","int(((2*x*ln(2)^2-2*x*ln(2)+6*x)*exp(exp(4))+3*x^2)/exp(exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\ln \left(2\right)^{2}-\ln \left(2\right)+3\right) x^{2}+{\mathrm e}^{-{\mathrm e}^{4}} x^{3}$&$25$\\ gosper&$\left(\ln \left(2\right)^{2} {\mathrm e}^{{\mathrm e}^{4}}-\ln \left(2\right) {\mathrm e}^{{\mathrm e}^{4}}+3 \,{\mathrm e}^{{\mathrm e}^{4}}+x \right) x^{2} {\mathrm e}^{-{\mathrm e}^{4}}$&$32$\\ default&${\mathrm e}^{-{\mathrm e}^{4}} \left({\mathrm e}^{{\mathrm e}^{4}} \left(x^{2} \ln \left(2\right)^{2}-x^{2} \ln \left(2\right)+3 x^{2}\right)+x^{3}\right)$&$36$\\ risch&${\mathrm e}^{-{\mathrm e}^{4}} x^{3}+\ln \left(2\right)^{2} {\mathrm e}^{-{\mathrm e}^{4}} {\mathrm e}^{{\mathrm e}^{4}} x^{2}-\ln \left(2\right) {\mathrm e}^{-{\mathrm e}^{4}} {\mathrm e}^{{\mathrm e}^{4}} x^{2}+3 \,{\mathrm e}^{-{\mathrm e}^{4}} {\mathrm e}^{{\mathrm e}^{4}} x^{2}$&$55$\\ \hline \end{longtable}"," ",0,"(ln(2)^2-ln(2)+3)*x^2+1/exp(exp(4))*x^3","A"
9163,1,18,18,0.174000," ","int((2500*exp(5)^2-4*x^2)/((x^2+1250*x+390625)*exp(5)^4+(2*x^3+1250*x^2)*exp(5)^2+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x}{x \,{\mathrm e}^{10}+625 \,{\mathrm e}^{10}+x^{2}}$&$18$\\ gosper&$\frac{4 x}{x \,{\mathrm e}^{10}+625 \,{\mathrm e}^{10}+x^{2}}$&$22$\\ norman&$\frac{4 x}{x \,{\mathrm e}^{10}+625 \,{\mathrm e}^{10}+x^{2}}$&$22$\\ default&$2 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+2 \textit{\_Z}^{3} {\mathrm e}^{10}+\left({\mathrm e}^{20}+1250 \,{\mathrm e}^{10}\right) \textit{\_Z}^{2}+1250 \textit{\_Z} \,{\mathrm e}^{20}+390625 \,{\mathrm e}^{20}\right)}{\sum}\frac{\left(625 \,{\mathrm e}^{10}-\textit{\_R}^{2}\right) \ln \left(x -\textit{\_R} \right)}{\textit{\_R} \,{\mathrm e}^{20}+625 \,{\mathrm e}^{20}+3 \,{\mathrm e}^{10} \textit{\_R}^{2}+1250 \,{\mathrm e}^{10} \textit{\_R} +2 \textit{\_R}^{3}}\right)$&$83$\\ \hline \end{longtable}"," ",0,"4*x/(x*exp(10)+625*exp(10)+x^2)","A"
9164,1,16,19,0.072000," ","int(((-3*x+5)*exp(x)+x-10)/(2*exp(x)*x-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x}{4}+\frac{5 \ln \left(x \right)}{2}-\frac{5 \ln \left({\mathrm e}^{x}-2\right)}{4}$&$16$\\ risch&$-\frac{x}{4}+\frac{5 \ln \left(x \right)}{2}-\frac{5 \ln \left({\mathrm e}^{x}-2\right)}{4}$&$16$\\ \hline \end{longtable}"," ",0,"-1/4*x+5/2*ln(x)-5/4*ln(exp(x)-2)","A"
9165,0,0,26,0.020000," ","int(((-2*x^2-x)*ln(-1/2*x^2*ln(3)+2*x^2)*ln(ln(-1/2*x^2*ln(3)+2*x^2))^2-8)/((x^5+2*x^4+3*x^3+2*x^2+x)*ln(-1/2*x^2*ln(3)+2*x^2)*ln(ln(-1/2*x^2*ln(3)+2*x^2))^2+(-8*x^3-8*x^2-8*x)*ln(-1/2*x^2*ln(3)+2*x^2)*ln(ln(-1/2*x^2*ln(3)+2*x^2))+16*x*ln(-1/2*x^2*ln(3)+2*x^2)),x)","\[\int \frac{\left(-2 x^{2}-x \right) \ln \left(-\frac{x^{2} \ln \left(3\right)}{2}+2 x^{2}\right) \ln \left(\ln \left(-\frac{x^{2} \ln \left(3\right)}{2}+2 x^{2}\right)\right)^{2}-8}{\left(x^{5}+2 x^{4}+3 x^{3}+2 x^{2}+x \right) \ln \left(-\frac{x^{2} \ln \left(3\right)}{2}+2 x^{2}\right) \ln \left(\ln \left(-\frac{x^{2} \ln \left(3\right)}{2}+2 x^{2}\right)\right)^{2}+\left(-8 x^{3}-8 x^{2}-8 x \right) \ln \left(-\frac{x^{2} \ln \left(3\right)}{2}+2 x^{2}\right) \ln \left(\ln \left(-\frac{x^{2} \ln \left(3\right)}{2}+2 x^{2}\right)\right)+16 x \ln \left(-\frac{x^{2} \ln \left(3\right)}{2}+2 x^{2}\right)}\, dx\]"," ",0,"int(((-2*x^2-x)*ln(-1/2*x^2*ln(3)+2*x^2)*ln(ln(-1/2*x^2*ln(3)+2*x^2))^2-8)/((x^5+2*x^4+3*x^3+2*x^2+x)*ln(-1/2*x^2*ln(3)+2*x^2)*ln(ln(-1/2*x^2*ln(3)+2*x^2))^2+(-8*x^3-8*x^2-8*x)*ln(-1/2*x^2*ln(3)+2*x^2)*ln(ln(-1/2*x^2*ln(3)+2*x^2))+16*x*ln(-1/2*x^2*ln(3)+2*x^2)),x)","F"
9166,1,20,17,0.056000," ","int((-2*x^3-x^2-1)/(x^2*exp(5)-x^4-x^3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)+\ln \left(x^{3}-x \,{\mathrm e}^{5}+x^{2}-1\right)$&$20$\\ risch&$-\ln \left(x \right)+\ln \left(x^{3}-x \,{\mathrm e}^{5}+x^{2}-1\right)$&$20$\\ norman&$-\ln \left(x \right)+\ln \left(-x^{3}+x \,{\mathrm e}^{5}-x^{2}+1\right)$&$23$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(x^3-x*exp(5)+x^2-1)","A"
9167,1,38,32,0.280000," ","int((((x^4-x^3-15*x^2)*exp(x)+20*x^3-75*x^2)*ln(1/2*exp(x))+(-2*x^4+6*x^3+15*x^2)*exp(x)-5*x^4+5*x^3+75*x^2+1)/((x^8-10*x^7+25*x^6)*exp(x)^2+(10*x^8-100*x^7+250*x^6-2*x^4+10*x^3)*exp(x)+25*x^8-250*x^7+625*x^6-10*x^4+50*x^3+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{1-\ln \left(\frac{{\mathrm e}^{x}}{2}\right)}{{\mathrm e}^{x} x^{4}-5 \,{\mathrm e}^{x} x^{3}+5 x^{4}-25 x^{3}-1}$&$38$\\ risch&$-\frac{\ln \left({\mathrm e}^{x}\right)}{{\mathrm e}^{x} x^{4}-5 \,{\mathrm e}^{x} x^{3}+5 x^{4}-25 x^{3}-1}+\frac{1}{{\mathrm e}^{x} x^{4}-5 \,{\mathrm e}^{x} x^{3}+5 x^{4}-25 x^{3}-1}+\frac{\ln \left(2\right)}{{\mathrm e}^{x} x^{4}-5 \,{\mathrm e}^{x} x^{3}+5 x^{4}-25 x^{3}-1}$&$91$\\ \hline \end{longtable}"," ",0,"(1-ln(1/2*exp(x)))/(exp(x)*x^4-5*exp(x)*x^3+5*x^4-25*x^3-1)","A"
9168,1,16,19,0.084000," ","int((exp(x)*exp(exp(x))+12*x-5)*exp(1/exp(-exp(exp(x))-6*x^2+5*x))*exp(exp(1/exp(-exp(exp(x))-6*x^2+5*x)))/exp(-exp(exp(x))-6*x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}+6 x^{2}-5 x}}}$&$16$\\ \hline \end{longtable}"," ",0,"exp(exp(exp(exp(exp(x))+6*x^2-5*x)))","A"
9169,1,12,11,0.055000," ","int((-18*x^3-1)*exp(6*x^3+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \,{\mathrm e}^{6 x^{3}+5}$&$12$\\ norman&$-x \,{\mathrm e}^{6 x^{3}+5}$&$12$\\ risch&$-x \,{\mathrm e}^{6 x^{3}+5}$&$12$\\ meijerg&$-\frac{{\mathrm e}^{5} 6^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} \left(\frac{2 x \left(-1\right)^{\frac{1}{3}} \pi  \sqrt{3}}{9 \Gamma \left(\frac{2}{3}\right) \left(-x^{3}\right)^{\frac{1}{3}}}-x 6^{\frac{1}{3}} \left(-1\right)^{\frac{1}{3}} {\mathrm e}^{6 x^{3}}-\frac{x \left(-1\right)^{\frac{1}{3}} \Gamma \left(\frac{1}{3}, -6 x^{3}\right)}{3 \left(-x^{3}\right)^{\frac{1}{3}}}\right)}{6}+\frac{{\mathrm e}^{5} 6^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} \left(\frac{2 x \left(-1\right)^{\frac{1}{3}} \pi  \sqrt{3}}{3 \Gamma \left(\frac{2}{3}\right) \left(-x^{3}\right)^{\frac{1}{3}}}-\frac{x \left(-1\right)^{\frac{1}{3}} \Gamma \left(\frac{1}{3}, -6 x^{3}\right)}{\left(-x^{3}\right)^{\frac{1}{3}}}\right)}{18}$&$121$\\ \hline \end{longtable}"," ",0,"-x*exp(6*x^3+5)","A"
9170,1,47,25,0.104000," ","int((4*ln(exp(5)+2)^2+8*ln(exp(5)+2)+4)*exp(3-ln(x^2))/(x*exp(3-ln(x^2))^3-3*x*exp(3-ln(x^2))^2+3*x*exp(3-ln(x^2))-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(4 \ln \left({\mathrm e}^{5}+2\right)^{2}+8 \ln \left({\mathrm e}^{5}+2\right)+4\right) {\mathrm e}^{3} \left(-\frac{{\mathrm e}^{3}}{4}+\frac{x^{2}}{2}\right)}{{\mathrm e}^{6}-2 x^{2} {\mathrm e}^{3}+x^{4}}$&$47$\\ norman&$\frac{-{\mathrm e}^{6} \left(\ln \left({\mathrm e}^{5}+2\right)^{2}+2 \ln \left({\mathrm e}^{5}+2\right)+1\right) x +\left(2 \,{\mathrm e}^{3} \ln \left({\mathrm e}^{5}+2\right)^{2}+4 \,{\mathrm e}^{3} \ln \left({\mathrm e}^{5}+2\right)+2 \,{\mathrm e}^{3}\right) x^{3}}{x \left(-x^{2}+{\mathrm e}^{3}\right)^{2}}$&$68$\\ default&$\frac{\left(4 \ln \left({\mathrm e}^{5}+2\right)^{2}+8 \ln \left({\mathrm e}^{5}+2\right)+4\right) {\mathrm e}^{3-\ln \left(x^{2}\right)+2 \ln \left(x \right)} \left(\munderset{\textit{\_R} =\RootOf \left(-3 \,{\mathrm e}^{3-\ln \left(x^{2}\right)+2 \ln \left(x \right)} \textit{\_Z}^{2}+\textit{\_Z}^{3}+3 \,{\mathrm e}^{6-2 \ln \left(x^{2}\right)+4 \ln \left(x \right)} \textit{\_Z} -{\mathrm e}^{9-3 \ln \left(x^{2}\right)+6 \ln \left(x \right)}\right)}{\sum}\frac{\textit{\_R} \ln \left(x^{2}-\textit{\_R} \right)}{-\textit{\_R}^{2}+2 \,{\mathrm e}^{3-\ln \left(x^{2}\right)+2 \ln \left(x \right)} \textit{\_R} -{\mathrm e}^{6-2 \ln \left(x^{2}\right)+4 \ln \left(x \right)}}\right)}{6}$&$140$\\ \hline \end{longtable}"," ",0,"(4*ln(exp(5)+2)^2+8*ln(exp(5)+2)+4)*exp(3)*(-1/4*exp(3)+1/2*x^2)/(exp(6)-2*x^2*exp(3)+x^4)","A"
9171,1,24,23,0.042000," ","int((20*ln(x)^2*ln(ln(2))+2*x*ln(x)^2+(4*x^3-2*x)*ln(x)-x^3+x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$20 x \ln \left(\ln \left(2\right)\right)+x^{2}+\frac{x^{2} \left(x^{2}-1\right)}{\ln \left(x \right)}$&$24$\\ default&$20 x \ln \left(\ln \left(2\right)\right)+x^{2}+\frac{x^{4}}{\ln \left(x \right)}-\frac{x^{2}}{\ln \left(x \right)}$&$28$\\ norman&$\frac{x^{4}+x^{2} \ln \left(x \right)-x^{2}+20 x \ln \left(\ln \left(2\right)\right) \ln \left(x \right)}{\ln \left(x \right)}$&$29$\\ \hline \end{longtable}"," ",0,"20*x*ln(ln(2))+x^2+x^2*(x^2-1)/ln(x)","A"
9172,0,0,25,0.560000," ","int((-20*x*ln(12*x^2)*ln(ln(12*x^2))-12*x^2*ln(12*x^2)-20*x)*ln(5/exp(5*x^2*ln(ln(12*x^2))+2*x^3))/ln(12*x^2),x)","\[\int \frac{\left(-20 x \ln \left(12 x^{2}\right) \ln \left(\ln \left(12 x^{2}\right)\right)-12 x^{2} \ln \left(12 x^{2}\right)-20 x \right) \ln \left(5 \,{\mathrm e}^{-5 x^{2} \ln \left(\ln \left(12 x^{2}\right)\right)-2 x^{3}}\right)}{\ln \left(12 x^{2}\right)}\, dx\]"," ",0,"int((-20*x*ln(12*x^2)*ln(ln(12*x^2))-12*x^2*ln(12*x^2)-20*x)*ln(5/exp(5*x^2*ln(ln(12*x^2))+2*x^3))/ln(12*x^2),x)","F"
9173,1,7,7,0.019000," ","int((3*x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)+3 x$&$7$\\ norman&$\ln \left(x \right)+3 x$&$7$\\ risch&$\ln \left(x \right)+3 x$&$7$\\ \hline \end{longtable}"," ",0,"ln(x)+3*x","A"
9174,1,16,19,0.078000," ","int((8*x^2-8*x-1)*exp((x-1)/exp(4*x^2+16))/exp(4*x^2+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\left(x -1\right) {\mathrm e}^{-4 x^{2}-16}}$&$16$\\ norman&$-{\mathrm e}^{\left(x -1\right) {\mathrm e}^{-4 x^{2}-16}}$&$18$\\ \hline \end{longtable}"," ",0,"-exp((x-1)*exp(-4*x^2-16))","A"
9175,1,16,17,0.044000," ","int((3*x^3*ln(x)+2*x^3+1)/(x*ln(x)^2+(x^4+x)*ln(x)+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left(x \right)+1\right)+\ln \left(\ln \left(x \right)+x^{3}\right)$&$16$\\ risch&$-\ln \left(\ln \left(x \right)+1\right)+\ln \left(\ln \left(x \right)+x^{3}\right)$&$16$\\ \hline \end{longtable}"," ",0,"-ln(ln(x)+1)+ln(ln(x)+x^3)","A"
9176,1,17,18,0.099000," ","int((2*(-24*x-48)*ln(2)*exp(2*(x^2+4*x)*ln(2))+6)/(4*exp(2*(x^2+4*x)*ln(2))^2+(-4*x+88)*exp(2*(x^2+4*x)*ln(2))+x^2-44*x+484),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{6}{x -2 \,4^{\left(4+x \right) x}-22}$&$17$\\ norman&$-\frac{6}{x -2 \,{\mathrm e}^{2 \left(x^{2}+4 x \right) \ln \left(2\right)}-22}$&$22$\\ \hline \end{longtable}"," ",0,"-6/(x-2*4^((4+x)*x)-22)","A"
9177,1,21,17,0.030000," ","int((-32*ln(x)-32)*exp(8/x^2/ln(x)^2)^2/x^3/exp(1)^2/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 \left(x^{2} \ln \left(x \right)^{2}-8\right)}{\ln \left(x \right)^{2} x^{2}}}$&$21$\\ \hline \end{longtable}"," ",0,"exp(-2*(x^2*ln(x)^2-8)/ln(x)^2/x^2)","A"
9178,1,50,35,0.092000," ","int(((-x^6-2*x^5-3*x^3+3*x^2)*exp(x)+9*ln(2)^2+(-8*x^4+48*x)*ln(2)-3*x^6-20*x^5+30*x^2)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{3}-8 x \ln \left(2\right)-10 x^{2}+\frac{-3 \ln \left(2\right)^{2}-24 x \ln \left(2\right)-30 x^{2}}{x^{3}}-\frac{\left(x^{3}+3\right) {\mathrm e}^{x}}{x}$&$50$\\ default&$-10 x^{2}-\frac{30}{x}-x^{3}-\frac{24 \ln \left(2\right)}{x^{2}}-\frac{3 \,{\mathrm e}^{x}}{x}-{\mathrm e}^{x} x^{2}-\frac{3 \ln \left(2\right)^{2}}{x^{3}}-8 x \ln \left(2\right)$&$52$\\ norman&$\frac{-30 x^{2}-10 x^{5}-x^{6}-3 \ln \left(2\right)^{2}-24 x \ln \left(2\right)-8 x^{4} \ln \left(2\right)-x^{5} {\mathrm e}^{x}-3 \,{\mathrm e}^{x} x^{2}}{x^{3}}$&$53$\\ \hline \end{longtable}"," ",0,"-x^3-8*x*ln(2)-10*x^2+(-3*ln(2)^2-24*x*ln(2)-30*x^2)/x^3-(x^3+3)/x*exp(x)","A"
9179,1,17,21,0.048000," ","int((2*x*ln(3)-6*x)/(exp(exp(5))+exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{2} \left(\ln \left(3\right)-3\right)}{{\mathrm e}^{{\mathrm e}^{5}}+{\mathrm e}^{4}}$&$17$\\ norman&$\frac{x^{2} \left(\ln \left(3\right)-3\right)}{{\mathrm e}^{{\mathrm e}^{5}}+{\mathrm e}^{4}}$&$17$\\ default&$\frac{x^{2} \ln \left(3\right)-3 x^{2}}{{\mathrm e}^{{\mathrm e}^{5}}+{\mathrm e}^{4}}$&$22$\\ risch&$\frac{x^{2} \ln \left(3\right)}{{\mathrm e}^{{\mathrm e}^{5}}+{\mathrm e}^{4}}-\frac{3 x^{2}}{{\mathrm e}^{{\mathrm e}^{5}}+{\mathrm e}^{4}}$&$29$\\ \hline \end{longtable}"," ",0,"x^2*(ln(3)-3)/(exp(exp(5))+exp(4))","A"
9180,1,7,14,0.023000," ","int(exp(x^2)*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{x^{2}}}{2}$&$7$\\ derivativedivides&$\frac{{\mathrm e}^{x^{2}}}{2}$&$7$\\ default&$\frac{{\mathrm e}^{x^{2}}}{2}$&$7$\\ norman&$\frac{{\mathrm e}^{x^{2}}}{2}$&$7$\\ risch&$\frac{{\mathrm e}^{x^{2}}}{2}$&$7$\\ meijerg&$-\frac{1}{2}+\frac{{\mathrm e}^{x^{2}}}{2}$&$9$\\ \hline \end{longtable}"," ",0,"1/2*exp(x^2)","A"
9181,1,39,28,0.067000," ","int(((x^3*exp(exp(1))-x^4)*ln(exp(exp(1))-x)+(-72*x^2*exp(1)^2+(-x^5+144*x)*exp(1)+2*x^4-72)*exp(exp(1))+72*x^3*exp(1)^2+(x^6+x^5-144*x^2)*exp(1)-2*x^5-x^4+72*x)*exp((-x^3*ln(exp(exp(1))-x)+36*x*exp(1)-x^4-36)/(x^3*exp(1)-x^2))/((x^5*exp(1)^2-2*x^4*exp(1)+x^3)*exp(exp(1))-x^6*exp(1)^2+2*x^5*exp(1)-x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-x^{3} \ln \left({\mathrm e}^{{\mathrm e}}-x \right)+36 x \,{\mathrm e}-x^{4}-36}{x^{2} \left(x \,{\mathrm e}-1\right)}}$&$39$\\ \hline \end{longtable}"," ",0,"exp((-x^3*ln(exp(exp(1))-x)+36*x*exp(1)-x^4-36)/x^2/(x*exp(1)-1))","A"
9182,1,33,22,0.505000," ","int((((-12*x^4-36*x^3)*ln(x)+3*x^4+9*x^3)*ln(3+x)+(6*x^3+18*x^2)*ln(x)^2+((3*x^5+21*x^4+36*x^3)*exp(x)-3*x^4)*ln(x)+(-3*x^4-9*x^3)*exp(x))/(3+x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 x^{4} \ln \left(3+x \right)}{\ln \left(x \right)}+\frac{x^{3} \left(3 \,{\mathrm e}^{x} x +2 \ln \left(x \right)\right)}{\ln \left(x \right)}$&$33$\\ \hline \end{longtable}"," ",0,"-3*x^4/ln(x)*ln(3+x)+x^3*(3*exp(x)*x+2*ln(x))/ln(x)","A"
9183,1,48,25,0.037000," ","int(((-240*x^8-1600*x^7-3320*x^6+9605*x^4+14800*x^3+9960*x^2+3200*x+400)*ln(x)-80*x^8-800*x^7-3320*x^6-7360*x^5-9605*x^4-7400*x^3-3320*x^2-800*x-80)/x^6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \left(16 x^{8}+160 x^{7}+664 x^{6}+1921 x^{4}+1480 x^{3}+664 x^{2}+160 x +16\right) \ln \left(x \right)}{x^{5}}-7360 \ln \left(x \right)$&$48$\\ default&$-800 x^{2} \ln \left(x \right)-\frac{9605 \ln \left(x \right)}{x}-7360 \ln \left(x \right)-80 x^{3} \ln \left(x \right)-\frac{7400 \ln \left(x \right)}{x^{2}}-3320 x \ln \left(x \right)-\frac{3320 \ln \left(x \right)}{x^{3}}-\frac{800 \ln \left(x \right)}{x^{4}}-\frac{80 \ln \left(x \right)}{x^{5}}$&$60$\\ norman&$\frac{-7360 x^{5} \ln \left(x \right)-800 x \ln \left(x \right)-3320 x^{2} \ln \left(x \right)-7400 x^{3} \ln \left(x \right)-9605 x^{4} \ln \left(x \right)-3320 x^{6} \ln \left(x \right)-800 x^{7} \ln \left(x \right)-80 x^{8} \ln \left(x \right)-80 \ln \left(x \right)}{x^{5}}$&$64$\\ \hline \end{longtable}"," ",0,"-5*(16*x^8+160*x^7+664*x^6+1921*x^4+1480*x^3+664*x^2+160*x+16)/x^5*ln(x)-7360*ln(x)","A"
9184,1,56,23,0.130000," ","int(((-4*x^3+8*x^2-x-2)*ln(x^2)*ln(ln(x^2))+4-2*x)/(4*x^3-24*x^2+48*x-32)/exp(x^2)^2/ln(x^2)/ln(ln(x^2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{-2 x^{2}}}{4 \left(x^{2}-4 x +4\right) \ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)}$&$56$\\ \hline \end{longtable}"," ",0,"1/4*x*exp(-2*x^2)/(x^2-4*x+4)/ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)","C"
9185,1,30,17,0.612000," ","int(((-x^2-46*x-46)*ln(x)-2*x^3-72*x^2-117*x-46)/(x^2+46*x+529),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-2 x^{2}-x^{3}-2 x \ln \left(x \right)-x^{2} \ln \left(x \right)}{x +23}$&$30$\\ default&$-x^{2}+21 x +\frac{11109}{x +23}-x \ln \left(x \right)+\frac{21 \ln \left(x \right) x}{x +23}$&$32$\\ risch&$-\frac{\left(x^{2}+23 x +483\right) \ln \left(x \right)}{x +23}+\frac{-x^{3}+21 x \ln \left(x \right)-2 x^{2}+483 \ln \left(x \right)+483 x +11109}{x +23}$&$49$\\ \hline \end{longtable}"," ",0,"(-2*x^2-x^3-2*x*ln(x)-x^2*ln(x))/(x+23)","A"
9186,1,27,27,0.541000," ","int((5*x^2*exp(-x+4)+10)/(x^2*exp(2)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\frac{5 \,{\mathrm e}^{-x +4}}{4+{\mathrm e}^{2}}-\frac{10}{x \left(4+{\mathrm e}^{2}\right)}$&$27$\\ default&$-\frac{5 \,{\mathrm e}^{-x +4}}{4+{\mathrm e}^{2}}-\frac{10}{x \left(4+{\mathrm e}^{2}\right)}$&$27$\\ risch&$-\frac{5 \,{\mathrm e}^{-x +4}}{4+{\mathrm e}^{2}}-\frac{10}{x \left(4+{\mathrm e}^{2}\right)}$&$27$\\ norman&$\frac{-\frac{10}{4+{\mathrm e}^{2}}-\frac{5 x \,{\mathrm e}^{-x +4}}{4+{\mathrm e}^{2}}}{x}$&$29$\\ \hline \end{longtable}"," ",0,"-5/(4+exp(2))*exp(-x+4)-10/x/(4+exp(2))","A"
9187,1,32,22,0.314000," ","int(((-16*x+16)*ln(5)^2*exp(x)+(64*x^2+1088)*ln(5)^2+4*ln(5))/(16*ln(5)^2*exp(x)^2+((-128*x^2-32*x+2176)*ln(5)^2+8*ln(5))*exp(x)+(256*x^4+128*x^3-8688*x^2-2176*x+73984)*ln(5)^2+(-32*x^2-8*x+544)*ln(5)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \ln \left(5\right) x}{16 x^{2} \ln \left(5\right)+4 x \ln \left(5\right)-4 \,{\mathrm e}^{x} \ln \left(5\right)-272 \ln \left(5\right)-1}$&$32$\\ norman&$\frac{-4 \,{\mathrm e}^{x} \ln \left(5\right)+16 x^{2} \ln \left(5\right)-1-272 \ln \left(5\right)}{16 x^{2} \ln \left(5\right)+4 x \ln \left(5\right)-4 \,{\mathrm e}^{x} \ln \left(5\right)-272 \ln \left(5\right)-1}$&$47$\\ \hline \end{longtable}"," ",0,"-4*ln(5)*x/(16*x^2*ln(5)+4*x*ln(5)-4*exp(x)*ln(5)-272*ln(5)-1)","A"
9188,1,65,23,0.056000," ","int(((4*(8*x-8)*ln(2)^2+32*x^2*ln(2)+8*x^3+8*x^2)*exp(x)+4*(8*x^2-16)*ln(2)^2+2*(32*x^3+32*x^2)*ln(2)+24*x^4+32*x^3+16*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$8 x^{3}+16 x^{2}+16 x +32 x \ln \left(2\right)^{2}+32 x^{2} \ln \left(2\right)+8 \,{\mathrm e}^{x} x +32 \,{\mathrm e}^{x} \ln \left(2\right)+\frac{64 \ln \left(2\right)^{2}}{x}+\frac{32 \ln \left(2\right)^{2} {\mathrm e}^{x}}{x}+64 x \ln \left(2\right)$&$65$\\ norman&$\frac{\left(32 \ln \left(2\right)+16\right) x^{3}+\left(32 \ln \left(2\right)^{2}+64 \ln \left(2\right)+16\right) x^{2}+8 x^{4}+64 \ln \left(2\right)^{2}+8 \,{\mathrm e}^{x} x^{2}+32 \ln \left(2\right)^{2} {\mathrm e}^{x}+32 x \ln \left(2\right) {\mathrm e}^{x}}{x}$&$65$\\ risch&$32 x \ln \left(2\right)^{2}+32 x^{2} \ln \left(2\right)+8 x^{3}+64 x \ln \left(2\right)+16 x^{2}+16 x +\frac{64 \ln \left(2\right)^{2}}{x}+\frac{8 \left(4 \ln \left(2\right)^{2}+4 x \ln \left(2\right)+x^{2}\right) {\mathrm e}^{x}}{x}$&$65$\\ \hline \end{longtable}"," ",0,"8*x^3+16*x^2+16*x+32*x*ln(2)^2+32*x^2*ln(2)+8*exp(x)*x+32*exp(x)*ln(2)+64*ln(2)^2/x+32/x*ln(2)^2*exp(x)+64*x*ln(2)","B"
9189,1,13,15,0.020000," ","int(-5*exp(5/4/ln(x^2)^2)*exp(exp(5/4/ln(x^2)^2)+3*ln(2))/x/ln(x^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$8 \,{\mathrm e}^{{\mathrm e}^{\frac{5}{4 \ln \left(x^{2}\right)^{2}}}}$&$13$\\ derivativedivides&${\mathrm e}^{{\mathrm e}^{\frac{5}{4 \ln \left(x^{2}\right)^{2}}}+3 \ln \left(2\right)}$&$16$\\ default&${\mathrm e}^{{\mathrm e}^{\frac{5}{4 \ln \left(x^{2}\right)^{2}}}+3 \ln \left(2\right)}$&$16$\\ \hline \end{longtable}"," ",0,"8*exp(exp(5/4/ln(x^2)^2))","A"
9190,1,20,19,0.046000," ","int(((3*exp(x)*x+192*x^2)*ln(x)+1)*exp(3*exp(x)-3*exp(5)+96*x^2+33)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right) {\mathrm e}^{3 \,{\mathrm e}^{x}-3 \,{\mathrm e}^{5}+96 x^{2}+33}$&$20$\\ \hline \end{longtable}"," ",0,"ln(x)*exp(3*exp(x)-3*exp(5)+96*x^2+33)","A"
9191,0,0,22,1.764000," ","int((((-exp(4)-x-4)*exp(9)+1)*ln(1/4*exp(x))*ln(ln(1/4*exp(x)))+x+4+exp(4))/((x+4+exp(4))*ln(1/4*exp(x))*ln(ln(1/4*exp(x)))*ln((x+4+exp(4))*ln(ln(1/4*exp(x))))+(-x*exp(4)-x^2-4*x)*exp(9)*ln(1/4*exp(x))*ln(ln(1/4*exp(x)))),x)","\[\int \frac{\left(\left(-{\mathrm e}^{4}-x -4\right) {\mathrm e}^{9}+1\right) \ln \left(\frac{{\mathrm e}^{x}}{4}\right) \ln \left(\ln \left(\frac{{\mathrm e}^{x}}{4}\right)\right)+x +4+{\mathrm e}^{4}}{\left(x +4+{\mathrm e}^{4}\right) \ln \left(\frac{{\mathrm e}^{x}}{4}\right) \ln \left(\ln \left(\frac{{\mathrm e}^{x}}{4}\right)\right) \ln \left(\left(x +4+{\mathrm e}^{4}\right) \ln \left(\ln \left(\frac{{\mathrm e}^{x}}{4}\right)\right)\right)+\left(-x \,{\mathrm e}^{4}-x^{2}-4 x \right) {\mathrm e}^{9} \ln \left(\frac{{\mathrm e}^{x}}{4}\right) \ln \left(\ln \left(\frac{{\mathrm e}^{x}}{4}\right)\right)}\, dx\]"," ",0,"int((((-exp(4)-x-4)*exp(9)+1)*ln(1/4*exp(x))*ln(ln(1/4*exp(x)))+x+4+exp(4))/((x+4+exp(4))*ln(1/4*exp(x))*ln(ln(1/4*exp(x)))*ln((x+4+exp(4))*ln(ln(1/4*exp(x))))+(-x*exp(4)-x^2-4*x)*exp(9)*ln(1/4*exp(x))*ln(ln(1/4*exp(x)))),x)","F"
9192,1,39,23,0.097000," ","int((-3*x^2-2*x)*ln(x/exp(x))+x^3+6*x^2+3*x+16,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$16 x -\ln \left(x \,{\mathrm e}^{-x}\right) x^{3}-x^{2} \ln \left(x \,{\mathrm e}^{-x}\right)+2 x^{2}+2 x^{3}$&$39$\\ norman&$16 x -\ln \left(x \,{\mathrm e}^{-x}\right) x^{3}-x^{2} \ln \left(x \,{\mathrm e}^{-x}\right)+2 x^{2}+2 x^{3}$&$39$\\ risch&$\left(x^{3}+x^{2}\right) \ln \left({\mathrm e}^{x}\right)-x^{3} \ln \left(x \right)-x^{2} \ln \left(x \right)-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}}{2}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)}{2}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}}{2}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{3}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)}{2}+2 x^{2}+2 x^{3}+16 x$&$232$\\ \hline \end{longtable}"," ",0,"16*x-ln(x/exp(x))*x^3-x^2*ln(x/exp(x))+2*x^2+2*x^3","A"
9193,0,0,21,0.040000," ","int(((4*ln(7/2)*exp(x)+16*ln(7/2))*exp(2*x)^2-4*x*ln(7/2)*exp(x)-4*ln(7/2))/(exp(2*x)^4-2*x*exp(2*x)^2+x^2)/exp(exp(x)),x)","\[\int \frac{\left(\left(4 \ln \left(\frac{7}{2}\right) {\mathrm e}^{x}+16 \ln \left(\frac{7}{2}\right)\right) {\mathrm e}^{4 x}-4 x \ln \left(\frac{7}{2}\right) {\mathrm e}^{x}-4 \ln \left(\frac{7}{2}\right)\right) {\mathrm e}^{-{\mathrm e}^{x}}}{{\mathrm e}^{8 x}-2 x \,{\mathrm e}^{4 x}+x^{2}}\, dx\]"," ",0,"int(((4*ln(7/2)*exp(x)+16*ln(7/2))*exp(2*x)^2-4*x*ln(7/2)*exp(x)-4*ln(7/2))/(exp(2*x)^4-2*x*exp(2*x)^2+x^2)/exp(exp(x)),x)","F"
9194,1,17,24,0.102000," ","int(((-4375*x^4+2500*x^3)*exp(x)^3+(625*x^4+2500*x^3)*exp(1)*exp(x))/(16*exp(x)^10+80*exp(1)*exp(x)^8+160*exp(1)^2*exp(x)^6+160*exp(1)^3*exp(x)^4+80*exp(1)^4*exp(x)^2+16*exp(1)^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{625 x^{4} {\mathrm e}^{x}}{16 \left({\mathrm e}^{2 x}+{\mathrm e}\right)^{4}}$&$17$\\ \hline \end{longtable}"," ",0,"625/16*x^4*exp(x)/(exp(2*x)+exp(1))^4","A"
9195,1,10,13,0.029000," ","int((ln(18)+400)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{\ln \left(18\right)+400}{x}$&$10$\\ default&$-\frac{\ln \left(18\right)+400}{x}$&$10$\\ norman&$\frac{-\ln \left(18\right)-400}{x}$&$11$\\ risch&$-\frac{\ln \left(2\right)}{x}-\frac{2 \ln \left(3\right)}{x}-\frac{400}{x}$&$21$\\ \hline \end{longtable}"," ",0,"-(ln(18)+400)/x","A"
9196,1,31,24,0.064000," ","int(1/4*((-x^2+2*x)*ln(x)^2+((-4*x^3+20*x)*exp(x)+2*x)*ln(x)+4*exp(x)^2+(-x^3+10*x)*exp(x))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(x \right)^{2} x^{2} {\mathrm e}^{-x}}{4}-\frac{x^{4} \ln \left(x \right)}{4}+\frac{5 x^{2} \ln \left(x \right)}{2}+{\mathrm e}^{x}$&$31$\\ risch&$\frac{\ln \left(x \right)^{2} x^{2} {\mathrm e}^{-x}}{4}+\frac{\left(-x^{4}+10 x^{2}\right) \ln \left(x \right)}{4}+{\mathrm e}^{x}$&$32$\\ \hline \end{longtable}"," ",0,"1/4*ln(x)^2*x^2/exp(x)-1/4*x^4*ln(x)+5/2*x^2*ln(x)+exp(x)","A"
9197,0,0,23,0.101000," ","int((-3*ln(x)-3)*ln(1/4*(16*x*ln(x)*ln(exp(5)-2)+3)/x/ln(x)/ln(exp(5)-2))/(32*x^2*ln(x)^2*ln(exp(5)-2)+6*x*ln(x)),x)","\[\int \frac{\left(-3 \ln \left(x \right)-3\right) \ln \left(\frac{16 x \ln \left(x \right) \ln \left({\mathrm e}^{5}-2\right)+3}{4 x \ln \left(x \right) \ln \left({\mathrm e}^{5}-2\right)}\right)}{32 x^{2} \ln \left(x \right)^{2} \ln \left({\mathrm e}^{5}-2\right)+6 x \ln \left(x \right)}\, dx\]"," ",0,"int((-3*ln(x)-3)*ln(1/4*(16*x*ln(x)*ln(exp(5)-2)+3)/x/ln(x)/ln(exp(5)-2))/(32*x^2*ln(x)^2*ln(exp(5)-2)+6*x*ln(x)),x)","F"
9198,1,89,28,0.539000," ","int(((4*x^6+18*x^5)*ln(2)^2+(-10*x^7-34*x^6+6*x^5-182*x^4-96*x^3+864*x^2)*ln(2)+6*x^8+14*x^7+2*x^6+216*x^5-84*x^4-867*x^3+1593*x^2-1701*x-6885)/((x^7+3*x^6)*ln(2)^2+(-2*x^8-4*x^7-4*x^6-46*x^5+48*x^4+288*x^3)*ln(2)+x^9+x^8+5*x^7+39*x^6-69*x^5-84*x^4+116*x^3-2034*x^2-108*x+6777)/ln((x^6*ln(2)^2+(-2*x^7+2*x^6-10*x^5-16*x^4+96*x^3)*ln(2)+x^8-2*x^7+11*x^6+6*x^5-87*x^4+177*x^3-415*x^2-789*x+2259)/(x^2+6*x+9)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(\frac{x^{6} \ln \left(2\right)^{2}+\left(-2 x^{7}+2 x^{6}-10 x^{5}-16 x^{4}+96 x^{3}\right) \ln \left(2\right)+x^{8}-2 x^{7}+11 x^{6}+6 x^{5}-87 x^{4}+177 x^{3}-415 x^{2}-789 x +2259}{x^{2}+6 x +9}\right)\right)$&$89$\\ risch&$\ln \left(\ln \left(\frac{x^{6} \ln \left(2\right)^{2}+\left(-2 x^{7}+2 x^{6}-10 x^{5}-16 x^{4}+96 x^{3}\right) \ln \left(2\right)+x^{8}-2 x^{7}+11 x^{6}+6 x^{5}-87 x^{4}+177 x^{3}-415 x^{2}-789 x +2259}{x^{2}+6 x +9}\right)\right)$&$89$\\ \hline \end{longtable}"," ",0,"ln(ln((x^6*ln(2)^2+(-2*x^7+2*x^6-10*x^5-16*x^4+96*x^3)*ln(2)+x^8-2*x^7+11*x^6+6*x^5-87*x^4+177*x^3-415*x^2-789*x+2259)/(x^2+6*x+9)))","B"
9199,1,58,60,0.112000," ","int((((2*(-2*x^3+2*x)*ln(2)+2*x^2)*exp(x)+2*(-2*x^2+2)*ln(2)+2*x)*exp(-ln(x)-exp(x)+2)^2+(((2*(2*x^3-2*x)*ln(2)-2*x^2)*exp(x)+2*(2*x^2-2)*ln(2)-2*x)*ln(2*(x^2-1)*ln(2)-x)-8*x^2*ln(2)+2*x)*exp(-ln(x)-exp(x)+2)+(8*x^2*ln(2)-2*x)*ln(2*(x^2-1)*ln(2)-x))/(2*(9*x^3-9*x)*ln(2)-9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(2 \left(x^{2}-1\right) \ln \left(2\right)-x \right)^{2}}{9}+\frac{{\mathrm e}^{-2 \,{\mathrm e}^{x}+4}}{9 x^{2}}-\frac{2 \ln \left(2 \left(x^{2}-1\right) \ln \left(2\right)-x \right) {\mathrm e}^{-{\mathrm e}^{x}+2}}{9 x}$&$58$\\ \hline \end{longtable}"," ",0,"1/9*ln(2*(x^2-1)*ln(2)-x)^2+1/9/x^2*exp(-2*exp(x)+4)-2/9*ln(2*(x^2-1)*ln(2)-x)/x*exp(-exp(x)+2)","A"
9200,1,8,14,0.024000," ","int((5*x^2-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x +\frac{1}{x}$&$8$\\ risch&$5 x +\frac{1}{x}$&$8$\\ gosper&$\frac{5 x^{2}+1}{x}$&$12$\\ norman&$\frac{5 x^{2}+1}{x}$&$12$\\ \hline \end{longtable}"," ",0,"5*x+1/x","A"
9201,1,18,20,0.031000," ","int((-2*x^2-20*x-150)/(x^3+20*x^2+75*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \ln \left(x \right)-2 \ln \left(x +15\right)+2 \ln \left(5+x \right)$&$18$\\ norman&$-2 \ln \left(x \right)-2 \ln \left(x +15\right)+2 \ln \left(5+x \right)$&$18$\\ risch&$2 \ln \left(5+x \right)-2 \ln \left(x^{2}+15 x \right)$&$18$\\ \hline \end{longtable}"," ",0,"-2*ln(x)-2*ln(x+15)+2*ln(5+x)","A"
9202,1,25,15,0.115000," ","int((-2*ln(174/7)^2*exp(ln(174/7)^2/x^2)*exp(exp(ln(174/7)^2/x^2))+2*x^4*exp(x^2))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{2}}+{\mathrm e}^{{\mathrm e}^{\frac{\left(\ln \left(2\right)+\ln \left(3\right)+\ln \left(29\right)-\ln \left(7\right)\right)^{2}}{x^{2}}}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(x^2)+exp(exp((ln(2)+ln(3)+ln(29)-ln(7))^2/x^2))","A"
9203,1,19,18,0.090000," ","int(1/1568*((-6*x^2-3*x)*exp(x^2+x+1)-6)*exp(3/1568/x^2/exp(exp(x^2+x+1)+1))/x^3/exp(exp(x^2+x+1)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{3 \,{\mathrm e}^{-{\mathrm e}^{x^{2}+x +1}-1}}{1568 x^{2}}}$&$19$\\ \hline \end{longtable}"," ",0,"exp(3/1568/x^2*exp(-exp(x^2+x+1)-1))","A"
9204,1,36,31,0.059000," ","int((50*x^6-70*x^5-28*x^4+18*x^3-32*x^2+74*x-10)/(25*x^7-85*x^6+81*x^5-23*x^4+7*x^3-11*x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-5 \ln \left(x \right)+\ln \left(x -2\right)-2 \ln \left(5 x -1\right)+2 \ln \left(5 x^{4}-6 x^{3}+x^{2}+1\right)$&$36$\\ norman&$-5 \ln \left(x \right)+\ln \left(x -2\right)-2 \ln \left(5 x -1\right)+2 \ln \left(5 x^{4}-6 x^{3}+x^{2}+1\right)$&$36$\\ risch&$-5 \ln \left(x \right)+\ln \left(x -2\right)-2 \ln \left(5 x -1\right)+2 \ln \left(5 x^{4}-6 x^{3}+x^{2}+1\right)$&$36$\\ \hline \end{longtable}"," ",0,"-5*ln(x)+ln(x-2)-2*ln(5*x-1)+2*ln(5*x^4-6*x^3+x^2+1)","A"
9205,1,30,27,0.079000," ","int((ln(x)-x^2*ln(2)*exp(x)+(-x^2+2*x-1)*ln(2)-1)/x^2/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1+2 x \ln \left(x \right)-x^{2}-{\mathrm e}^{x} x -\frac{\ln \left(x \right)}{\ln \left(2\right)}}{x}$&$30$\\ risch&$-\frac{\ln \left(x \right)}{x \ln \left(2\right)}+\frac{2 x \ln \left(x \right)-x^{2}-{\mathrm e}^{x} x +1}{x}$&$34$\\ default&$\frac{-\frac{\ln \left(x \right)}{x}-x \ln \left(2\right)+2 \ln \left(2\right) \ln \left(x \right)+\frac{\ln \left(2\right)}{x}-{\mathrm e}^{x} \ln \left(2\right)}{\ln \left(2\right)}$&$37$\\ \hline \end{longtable}"," ",0,"(1+2*x*ln(x)-x^2-exp(x)*x-ln(x)/ln(2))/x","A"
9206,1,14,18,0.089000," ","int((4*x^4-1)*exp(x^4-3)/(exp(x^4-3)^2+2*x*exp(x^4-3)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{{\mathrm e}^{x^{4}-3}+x}$&$14$\\ norman&$\frac{{\mathrm e}^{x^{4}-3}}{{\mathrm e}^{x^{4}-3}+x}$&$18$\\ \hline \end{longtable}"," ",0,"-x/(exp(x^4-3)+x)","A"
9207,1,33,29,0.310000," ","int(((-25*ln(5)^2+(10*x^2+70)*ln(5)-x^4-6*x^2-45)*exp((-5*x*ln(5)+x^3+9*x)/(5*ln(5)-x^2-5))+50*ln(5)^2+(-20*x^2-100)*ln(5)+2*x^4+20*x^2+50)/(25*ln(5)^2+(-10*x^2-50)*ln(5)+x^4+10*x^2+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +{\mathrm e}^{-\frac{x \left(-x^{2}+5 \ln \left(5\right)-9\right)}{5 \ln \left(5\right)-x^{2}-5}}$&$33$\\ norman&$\frac{\left(5 \ln \left(5\right)-5\right) {\mathrm e}^{\frac{-5 x \ln \left(5\right)+x^{3}+9 x}{5 \ln \left(5\right)-x^{2}-5}}+\left(10 \ln \left(5\right)-10\right) x -2 x^{3}-x^{2} {\mathrm e}^{\frac{-5 x \ln \left(5\right)+x^{3}+9 x}{5 \ln \left(5\right)-x^{2}-5}}}{5 \ln \left(5\right)-x^{2}-5}$&$95$\\ \hline \end{longtable}"," ",0,"2*x+exp(-x*(-x^2+5*ln(5)-9)/(5*ln(5)-x^2-5))","A"
9208,1,41,25,0.066000," ","int(1/256*((-x^2-2*x)*exp(1)^2+(8*x^2+16*x)*exp(1)-16*x^2-32*x)*exp(x-5)+3/256*x^2*exp(1)^2-3/32*x^2*exp(1)+3/16*x^2-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{{\mathrm e}^{2}}{256}-\frac{{\mathrm e}}{32}+\frac{1}{16}\right) x^{3}+\left(-\frac{{\mathrm e}^{2}}{256}+\frac{{\mathrm e}}{32}-\frac{1}{16}\right) x^{2} {\mathrm e}^{x -5}-x$&$41$\\ risch&$-\frac{\left({\mathrm e}^{2}-8 \,{\mathrm e}+16\right) x^{2} {\mathrm e}^{x -5}}{256}+\frac{x^{3} {\mathrm e}^{2}}{256}-\frac{x^{3} {\mathrm e}}{32}+\frac{x^{3}}{16}-x$&$41$\\ default&$-x +\frac{x^{3}}{16}-\frac{x^{3} {\mathrm e}}{32}+\frac{x^{3} {\mathrm e}^{2}}{256}-\frac{5 \,{\mathrm e}^{x -5} \left(x -5\right)}{8}-\frac{25 \,{\mathrm e}^{x -5}}{16}-\frac{{\mathrm e}^{x -5} \left(x -5\right)^{2}}{16}+\frac{35 \,{\mathrm e} \,{\mathrm e}^{x -5}}{32}-\frac{35 \,{\mathrm e}^{2} {\mathrm e}^{x -5}}{256}+\frac{3 \,{\mathrm e} \left({\mathrm e}^{x -5} \left(x -5\right)-{\mathrm e}^{x -5}\right)}{8}+\frac{{\mathrm e} \left({\mathrm e}^{x -5} \left(x -5\right)^{2}-2 \,{\mathrm e}^{x -5} \left(x -5\right)+2 \,{\mathrm e}^{x -5}\right)}{32}-\frac{3 \,{\mathrm e}^{2} \left({\mathrm e}^{x -5} \left(x -5\right)-{\mathrm e}^{x -5}\right)}{64}-\frac{{\mathrm e}^{2} \left({\mathrm e}^{x -5} \left(x -5\right)^{2}-2 \,{\mathrm e}^{x -5} \left(x -5\right)+2 \,{\mathrm e}^{x -5}\right)}{256}$&$172$\\ derivativedivides&$-x +5+\frac{x^{3}}{16}-\frac{x^{3} {\mathrm e}}{32}+\frac{x^{3} {\mathrm e}^{2}}{256}-\frac{5 \,{\mathrm e}^{x -5} \left(x -5\right)}{8}-\frac{25 \,{\mathrm e}^{x -5}}{16}-\frac{{\mathrm e}^{x -5} \left(x -5\right)^{2}}{16}+\frac{35 \,{\mathrm e} \,{\mathrm e}^{x -5}}{32}-\frac{35 \,{\mathrm e}^{2} {\mathrm e}^{x -5}}{256}+\frac{3 \,{\mathrm e} \left({\mathrm e}^{x -5} \left(x -5\right)-{\mathrm e}^{x -5}\right)}{8}+\frac{{\mathrm e} \left({\mathrm e}^{x -5} \left(x -5\right)^{2}-2 \,{\mathrm e}^{x -5} \left(x -5\right)+2 \,{\mathrm e}^{x -5}\right)}{32}-\frac{3 \,{\mathrm e}^{2} \left({\mathrm e}^{x -5} \left(x -5\right)-{\mathrm e}^{x -5}\right)}{64}-\frac{{\mathrm e}^{2} \left({\mathrm e}^{x -5} \left(x -5\right)^{2}-2 \,{\mathrm e}^{x -5} \left(x -5\right)+2 \,{\mathrm e}^{x -5}\right)}{256}$&$173$\\ \hline \end{longtable}"," ",0,"(1/256*exp(1)^2-1/32*exp(1)+1/16)*x^3+(-1/256*exp(1)^2+1/32*exp(1)-1/16)*x^2*exp(x-5)-x","A"
9209,1,19,18,0.030000," ","int(((10*x^3+15*x^2)*exp(x)^2*ln(x)-10*exp(x)^2*x^2)/exp(exp(4))^2/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x^{3} {\mathrm e}^{2 x -2 \,{\mathrm e}^{4}}}{\ln \left(x \right)^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"5*x^3/ln(x)^2*exp(2*x-2*exp(4))","A"
9210,1,13,21,0.502000," ","int((-ln(5)+exp(4)+3+x)/(exp(4)+3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\ln \left(5\right) \ln \left({\mathrm e}^{4}+3+x \right)$&$13$\\ norman&$x -\ln \left(5\right) \ln \left({\mathrm e}^{4}+3+x \right)$&$13$\\ risch&$x -\ln \left(5\right) \ln \left({\mathrm e}^{4}+3+x \right)$&$13$\\ meijerg&$-\ln \left(5\right) \ln \left(1+\frac{x}{{\mathrm e}^{4}+3}\right)+{\mathrm e}^{4} \ln \left(1+\frac{x}{{\mathrm e}^{4}+3}\right)+3 \ln \left(1+\frac{x}{{\mathrm e}^{4}+3}\right)+\left({\mathrm e}^{4}+3\right) \left(\frac{x}{{\mathrm e}^{4}+3}-\ln \left(1+\frac{x}{{\mathrm e}^{4}+3}\right)\right)$&$71$\\ \hline \end{longtable}"," ",0,"x-ln(5)*ln(exp(4)+3+x)","A"
9211,1,19,19,0.531000," ","int((x*ln(x)+(-2*x^3+11*x^2-6*x+5)*ln(x-5)+x^3-x^2-96*x)/(x^2-5*x)/ln(x-5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}-x +\ln \left(x \right)-96}{\ln \left(x -5\right)}$&$19$\\ \hline \end{longtable}"," ",0,"-(x^2-x+ln(x)-96)/ln(x-5)","A"
9212,1,18,19,0.126000," ","int(((2*x*ln(1/4*x)+2*x*exp(exp(5)^2)-2*x*exp(1))*ln(ln(1/4*x)+exp(exp(5)^2)-exp(1))+x)/(ln(1/4*x)+exp(exp(5)^2)-exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(\ln \left(\frac{x}{4}\right)+{\mathrm e}^{{\mathrm e}^{10}}-{\mathrm e}\right)$&$18$\\ norman&$x^{2} \ln \left(\ln \left(\frac{x}{4}\right)+{\mathrm e}^{{\mathrm e}^{10}}-{\mathrm e}\right)$&$20$\\ \hline \end{longtable}"," ",0,"x^2*ln(ln(1/4*x)+exp(exp(10))-exp(1))","A"
9213,1,14,18,0.026000," ","int((3*x+3)*exp(5+x)+1-exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +3 x \,{\mathrm e}^{5} {\mathrm e}^{x}-{\mathrm e}^{x}$&$14$\\ risch&$3 x \,{\mathrm e}^{5+x}+x -{\mathrm e}^{x}$&$14$\\ default&$x +3 \,{\mathrm e}^{5+x} \left(5+x \right)-15 \,{\mathrm e}^{5+x}-{\mathrm e}^{x}$&$22$\\ \hline \end{longtable}"," ",0,"x+3*x*exp(5)*exp(x)-exp(x)","A"
9214,1,56,21,1.227000," ","int(((2*x-1)*exp(x)^4+((-2*x+2)*ln(2)-2*x+2)*exp(x)^3+(-ln(2)^2-2*ln(2)+9)*exp(x)^2+((-10*x-10)*ln(2)-10*x-10)*exp(x)-50*x-25)*exp((exp(x)^4+(-2*ln(2)-2)*exp(x)^3+(ln(2)^2+2*ln(2)-9)*exp(x)^2+(10*ln(2)+10)*exp(x)+25)/x/exp(x)^2)/exp(x)^2/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{1}{4}\right)^{\frac{{\mathrm e}^{x}}{x}} 4^{\frac{1}{x}} 1024^{\frac{{\mathrm e}^{-x}}{x}} {\mathrm e}^{\frac{10 \,{\mathrm e}^{-x}+\ln \left(2\right)^{2}-9+{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x}+25 \,{\mathrm e}^{-2 x}}{x}}$&$56$\\ \hline \end{longtable}"," ",0,"(1/4)^(exp(x)/x)*4^(1/x)*1024^(1/x*exp(-x))*exp((10*exp(-x)+ln(2)^2-9+exp(2*x)-2*exp(x)+25*exp(-2*x))/x)","B"
9215,1,14,17,0.150000," ","int(1/3*((x^2+2*x)*exp(3/5)^2*exp(x)+2*x*exp(3/5)^2*exp(5/2)^2)*exp(1/3*x^2*exp(3/5)^2*exp(x)+1/3*x^2*exp(3/5)^2*exp(5/2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{2} \left({\mathrm e}^{\frac{6}{5}+x}+{\mathrm e}^{\frac{31}{5}}\right)}{3}}$&$14$\\ norman&${\mathrm e}^{\frac{x^{2} {\mathrm e}^{\frac{6}{5}} {\mathrm e}^{x}}{3}+\frac{x^{2} {\mathrm e}^{\frac{6}{5}} {\mathrm e}^{5}}{3}}$&$27$\\ \hline \end{longtable}"," ",0,"exp(1/3*x^2*(exp(6/5+x)+exp(31/5)))","A"
9216,1,10,13,0.022000," ","int(90/exp(1)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{90 \,{\mathrm e}^{-1} x}{\ln \left(2\right)}$&$10$\\ default&$\frac{90 \,{\mathrm e}^{-1} x}{\ln \left(2\right)}$&$12$\\ norman&$\frac{90 \,{\mathrm e}^{-1} x}{\ln \left(2\right)}$&$12$\\ \hline \end{longtable}"," ",0,"90/ln(2)*exp(-1)*x","A"
9217,1,43,25,0.142000," ","int(((32*x^2+48*x-14)*exp(x)*exp(2*ln(2)-2)^3+(-16*x^3+8*x^2-9*x+2)*exp(x)*exp(2*ln(2)-2)^2)/(32*exp(2*ln(2)-2)^3-48*x*exp(2*ln(2)-2)^2+24*x^2*exp(2*ln(2)-2)-4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(4 \,{\mathrm e}^{4} {\mathrm e}^{x}-32 x \,{\mathrm e}^{4} {\mathrm e}^{x}+64 x^{2} {\mathrm e}^{4} {\mathrm e}^{x}\right) {\mathrm e}^{-4}}{\left({\mathrm e}^{2} x -8\right)^{2}}$&$43$\\ gosper&$\frac{4 \left(4 x -1\right)^{2} {\mathrm e}^{x} {\mathrm e}^{-4}}{64 \,{\mathrm e}^{-4}-4 x \,{\mathrm e}^{2 \ln \left(2\right)-2}+x^{2}}$&$48$\\ default&$8 \,{\mathrm e}^{-4} \left(-\frac{{\mathrm e}^{x} \left(-x +8 \,{\mathrm e}^{-2}-1\right)}{2 \left(64 \,{\mathrm e}^{-4}-16 x \,{\mathrm e}^{-2}+x^{2}\right)}+\frac{{\mathrm e}^{8 \,{\mathrm e}^{-2}} \expIntegralEi \left(1, 8 \,{\mathrm e}^{-2}-x \right)}{2}\right)-224 \,{\mathrm e}^{-6} \left(-\frac{{\mathrm e}^{x} \left(-x +8 \,{\mathrm e}^{-2}-1\right)}{2 \left(64 \,{\mathrm e}^{-4}-16 x \,{\mathrm e}^{-2}+x^{2}\right)}+\frac{{\mathrm e}^{8 \,{\mathrm e}^{-2}} \expIntegralEi \left(1, 8 \,{\mathrm e}^{-2}-x \right)}{2}\right)-36 \,{\mathrm e}^{-4} \left(-\frac{{\mathrm e}^{x} \left(32 \,{\mathrm e}^{-4}-4 x \,{\mathrm e}^{-2}+4 \,{\mathrm e}^{-2}-x \right)}{64 \,{\mathrm e}^{-4}-16 x \,{\mathrm e}^{-2}+x^{2}}-\left(-4 \,{\mathrm e}^{-2}-1\right) {\mathrm e}^{8 \,{\mathrm e}^{-2}} \expIntegralEi \left(1, 8 \,{\mathrm e}^{-2}-x \right)\right)+32 \,{\mathrm e}^{-4} \left(-\frac{16 \,{\mathrm e}^{x} {\mathrm e}^{-2} \left(16 \,{\mathrm e}^{-4}-2 x \,{\mathrm e}^{-2}+6 \,{\mathrm e}^{-2}-x \right)}{64 \,{\mathrm e}^{-4}-16 x \,{\mathrm e}^{-2}+x^{2}}-\left(-32 \,{\mathrm e}^{-4}-16 \,{\mathrm e}^{-2}-1\right) {\mathrm e}^{8 \,{\mathrm e}^{-2}} \expIntegralEi \left(1, 8 \,{\mathrm e}^{-2}-x \right)\right)-64 \,{\mathrm e}^{-4} \left(-{\mathrm e}^{x}-\frac{64 \,{\mathrm e}^{x} {\mathrm e}^{-4} \left(32 \,{\mathrm e}^{-4}-4 x \,{\mathrm e}^{-2}+20 \,{\mathrm e}^{-2}-3 x \right)}{64 \,{\mathrm e}^{-4}-16 x \,{\mathrm e}^{-2}+x^{2}}-\left(-256 \,{\mathrm e}^{-6}-192 \,{\mathrm e}^{-4}-24 \,{\mathrm e}^{-2}\right) {\mathrm e}^{8 \,{\mathrm e}^{-2}} \expIntegralEi \left(1, 8 \,{\mathrm e}^{-2}-x \right)\right)+768 \,{\mathrm e}^{-6} \left(-\frac{{\mathrm e}^{x} \left(32 \,{\mathrm e}^{-4}-4 x \,{\mathrm e}^{-2}+4 \,{\mathrm e}^{-2}-x \right)}{64 \,{\mathrm e}^{-4}-16 x \,{\mathrm e}^{-2}+x^{2}}-\left(-4 \,{\mathrm e}^{-2}-1\right) {\mathrm e}^{8 \,{\mathrm e}^{-2}} \expIntegralEi \left(1, 8 \,{\mathrm e}^{-2}-x \right)\right)+512 \,{\mathrm e}^{-6} \left(-\frac{16 \,{\mathrm e}^{x} {\mathrm e}^{-2} \left(16 \,{\mathrm e}^{-4}-2 x \,{\mathrm e}^{-2}+6 \,{\mathrm e}^{-2}-x \right)}{64 \,{\mathrm e}^{-4}-16 x \,{\mathrm e}^{-2}+x^{2}}-\left(-32 \,{\mathrm e}^{-4}-16 \,{\mathrm e}^{-2}-1\right) {\mathrm e}^{8 \,{\mathrm e}^{-2}} \expIntegralEi \left(1, 8 \,{\mathrm e}^{-2}-x \right)\right)$&$487$\\ \hline \end{longtable}"," ",0,"(4*exp(2)^2*exp(x)-32*x*exp(2)^2*exp(x)+64*x^2*exp(2)^2*exp(x))/exp(2)^2/(exp(2)*x-8)^2","A"
9218,1,42,28,0.512000," ","int(((6*x^5*ln(3)+6*x^6+6*x^5)*ln(x+ln(3)+1)^4+4*x^6*ln(x+ln(3)+1)^3+((-32*x^3+24*x^2)*ln(3)-32*x^4-8*x^3+24*x^2)*ln(x+ln(3)+1)^2+(-16*x^4+16*x^3)*ln(x+ln(3)+1)+(32*x-32)*ln(3)+32*x^2-32)/(x+ln(3)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x +\ln \left(3\right)+1\right)^{4} x^{6}+\left(-8 x^{4}+8 x^{3}\right) \ln \left(x +\ln \left(3\right)+1\right)^{2}+16 x^{2}-32 x$&$42$\\ derivativedivides&$\text{Expression too large to display}$&$2873$\\ default&$\text{Expression too large to display}$&$2873$\\ \hline \end{longtable}"," ",0,"ln(x+ln(3)+1)^4*x^6+(-8*x^4+8*x^3)*ln(x+ln(3)+1)^2+16*x^2-32*x","A"
9219,1,19,19,0.081000," ","int((32*exp(1)^2*exp(2)*ln(-2*x)+exp(2)*x)/(16*x*exp(1)^2*ln(-2*x)^2+x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2} \ln \left(\ln \left(-2 x \right)^{2}+\frac{\left(2+x \right) {\mathrm e}^{-2}}{16}\right)$&$19$\\ norman&${\mathrm e}^{2} \ln \left(2+16 \,{\mathrm e}^{2} \ln \left(-2 x \right)^{2}+x \right)$&$20$\\ \hline \end{longtable}"," ",0,"exp(2)*ln(ln(-2*x)^2+1/16*(2+x)*exp(-2))","A"
9220,1,23,30,0.031000," ","int(4*x*ln(2)-3*x^2*exp(1)-3*x^2-4*x+8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(x^{2} {\mathrm e}-2 x \ln \left(2\right)+x^{2}+2 x -8\right)$&$23$\\ norman&$\left(-{\mathrm e}-1\right) x^{3}+\left(2 \ln \left(2\right)-2\right) x^{2}+8 x$&$25$\\ default&$2 x^{2} \ln \left(2\right)-x^{3} {\mathrm e}-x^{3}-2 x^{2}+8 x$&$29$\\ risch&$2 x^{2} \ln \left(2\right)-x^{3} {\mathrm e}-x^{3}-2 x^{2}+8 x$&$29$\\ \hline \end{longtable}"," ",0,"-x*(x^2*exp(1)-2*x*ln(2)+x^2+2*x-8)","A"
9221,1,21,25,0.109000," ","int((exp(1/9*x)*exp(-exp(1/9*x)/(ln(5)^2-18))-9*ln(5)^2+162)*exp(exp(-exp(1/9*x)/(ln(5)^2-18))+x)/(9*ln(5)^2-162),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-{\mathrm e}^{{\mathrm e}^{-\frac{{\mathrm e}^{\frac{x}{9}}}{\ln \left(5\right)^{2}-18}}+x}$&$21$\\ risch&$-\frac{9 \,{\mathrm e}^{{\mathrm e}^{-\frac{{\mathrm e}^{\frac{x}{9}}}{\ln \left(5\right)^{2}-18}}+x} \ln \left(5\right)^{2}}{9 \ln \left(5\right)^{2}-162}+\frac{162 \,{\mathrm e}^{{\mathrm e}^{-\frac{{\mathrm e}^{\frac{x}{9}}}{\ln \left(5\right)^{2}-18}}+x}}{9 \ln \left(5\right)^{2}-162}$&$66$\\ \hline \end{longtable}"," ",0,"-exp(exp(-exp(1/9*x)/(ln(5)^2-18))+x)","A"
9222,1,40,28,0.248000," ","int((-15*x^2*(ln(3)+I*Pi)^2*ln(5*x)^2+48*(ln(3)+I*Pi)*ln(5*x)+48*ln(3)+48*I*Pi)/(50*x^4*(ln(3)+I*Pi)^2*ln(5*x)^2+320*x^2*(ln(3)+I*Pi)*ln(5*x)+512),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{10 x}+\frac{24 i}{5 x \left(-5 i \ln \left(3\right) x^{2} \ln \left(5 x \right)+5 \pi  \ln \left(5 x \right) x^{2}-16 i\right)}$&$40$\\ \hline \end{longtable}"," ",0,"3/10/x+24/5*I/x/(-5*I*ln(3)*x^2*ln(5*x)+5*Pi*ln(5*x)*x^2-16*I)","A"
9223,1,10,19,0.013000," ","int((-4*x+2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 x -1}{x^{2}}$&$10$\\ norman&$\frac{4 x -1}{x^{2}}$&$10$\\ risch&$\frac{4 x -1}{x^{2}}$&$10$\\ default&$-\frac{1}{x^{2}}+\frac{4}{x}$&$12$\\ \hline \end{longtable}"," ",0,"(4*x-1)/x^2","A"
9224,1,14,13,0.033000," ","int((2*exp(4)+2*x^4-10)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-\frac{{\mathrm e}^{4}-5}{x^{2}}$&$14$\\ norman&$\frac{5+x^{4}-{\mathrm e}^{4}}{x^{2}}$&$14$\\ gosper&$-\frac{-x^{4}+{\mathrm e}^{4}-5}{x^{2}}$&$15$\\ risch&$x^{2}-\frac{{\mathrm e}^{4}}{x^{2}}+\frac{5}{x^{2}}$&$17$\\ \hline \end{longtable}"," ",0,"x^2-(exp(4)-5)/x^2","A"
9225,1,14,14,0.057000," ","int((45*ln(-1/3/x)+x^2+45)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x -\frac{45 \ln \left(-\frac{1}{3 x}\right)}{x}$&$14$\\ default&$x -\frac{45 \ln \left(-\frac{1}{3 x}\right)}{x}$&$14$\\ risch&$x -\frac{45 \ln \left(-\frac{1}{3 x}\right)}{x}$&$14$\\ norman&$\frac{x^{2}-45 \ln \left(-\frac{1}{3 x}\right)}{x}$&$17$\\ \hline \end{longtable}"," ",0,"x-45*ln(-1/3/x)/x","A"
9226,1,30,27,0.210000," ","int(((5*x^2+20*x)*exp(4*exp(exp(1)))+15*x+40)/((x^4+4*x^3)*exp(4*exp(exp(1)))^2+(-2*x^3-8*x^2)*ln(-2/(x^3+4*x^2))*exp(4*exp(exp(1)))+(x^2+4*x)*ln(-2/(x^3+4*x^2))^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{5}{x \,{\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}}}-\ln \left(-\frac{2}{x^{3}+4 x^{2}}\right)}$&$30$\\ risch&$-\frac{5}{x \,{\mathrm e}^{4 \,{\mathrm e}^{{\mathrm e}}}-\ln \left(-\frac{2}{x^{3}+4 x^{2}}\right)}$&$30$\\ \hline \end{longtable}"," ",0,"-5/(x*exp(4*exp(exp(1)))-ln(-2/(x^3+4*x^2)))","A"
9227,1,16,17,0.055000," ","int(1/5*(-x*exp(1/5*exp(5)-1/5*x+46)*ln(x)+5*exp(1/5*exp(5)-1/5*x+46))*exp(exp(1/5*exp(5)-1/5*x+46)*ln(x))*exp(exp(exp(1/5*exp(5)-1/5*x+46)*ln(x))+4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x^{{\mathrm e}^{\frac{{\mathrm e}^{5}}{5}-\frac{x}{5}+46}}+4}$&$16$\\ \hline \end{longtable}"," ",0,"exp(x^exp(1/5*exp(5)-1/5*x+46)+4)","A"
9228,1,55,28,0.231000," ","int(1/8*(-x*ln(5)^2+(4*x^3-6*x^2)*ln(5)-3*x^5+10*x^4-8*x^3)*exp(1/16*(16*exp(2)*exp(exp(5))^2-x^2*ln(5)^2+(2*x^4-4*x^3)*ln(5)-x^6+4*x^5-4*x^4)/exp(exp(5))^2)*exp(exp(1/16*(16*exp(2)*exp(exp(5))^2-x^2*ln(5)^2+(2*x^4-4*x^3)*ln(5)-x^6+4*x^5-4*x^4)/exp(exp(5))^2))/exp(exp(5))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{-\frac{\left(x^{6}-2 x^{4} \ln \left(5\right)-4 x^{5}+x^{2} \ln \left(5\right)^{2}+4 x^{3} \ln \left(5\right)+4 x^{4}-16 \,{\mathrm e}^{2 \,{\mathrm e}^{5}+2}\right) {\mathrm e}^{-2 \,{\mathrm e}^{5}}}{16}}}$&$55$\\ norman&${\mathrm e}^{{\mathrm e}^{\frac{\left(16 \,{\mathrm e}^{2} {\mathrm e}^{2 \,{\mathrm e}^{5}}-x^{2} \ln \left(5\right)^{2}+\left(2 x^{4}-4 x^{3}\right) \ln \left(5\right)-x^{6}+4 x^{5}-4 x^{4}\right) {\mathrm e}^{-2 \,{\mathrm e}^{5}}}{16}}}$&$58$\\ \hline \end{longtable}"," ",0,"exp(exp(-1/16*(x^6-2*x^4*ln(5)-4*x^5+x^2*ln(5)^2+4*x^3*ln(5)+4*x^4-16*exp(2*exp(5)+2))*exp(-2*exp(5))))","A"
9229,1,36,20,0.077000," ","int((((exp(x)+2)*ln(ln(12))^4+(20*exp(x)+40)*ln(ln(12))^3+(156*exp(x)+312)*ln(ln(12))^2+(560*exp(x)+1120)*ln(ln(12))+784*exp(x)+1568)*ln(2*exp(x)+4)+x*exp(x)*ln(ln(12))^4+20*x*exp(x)*ln(ln(12))^3+156*x*exp(x)*ln(ln(12))^2+560*x*exp(x)*ln(ln(12))+784*exp(x)*x)/(exp(x)+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\ln \left(\ln \left(12\right)\right)^{4}+20 \ln \left(\ln \left(12\right)\right)^{3}+156 \ln \left(\ln \left(12\right)\right)^{2}+560 \ln \left(\ln \left(12\right)\right)+784\right) x \ln \left(2 \,{\mathrm e}^{x}+4\right)$&$36$\\ risch&$\left(\ln \left(\ln \left(3\right)+2 \ln \left(2\right)\right)^{4}+20 \ln \left(\ln \left(3\right)+2 \ln \left(2\right)\right)^{3}+156 \ln \left(\ln \left(3\right)+2 \ln \left(2\right)\right)^{2}+560 \ln \left(\ln \left(3\right)+2 \ln \left(2\right)\right)+784\right) x \ln \left(2 \,{\mathrm e}^{x}+4\right)$&$56$\\ \hline \end{longtable}"," ",0,"(ln(ln(12))^4+20*ln(ln(12))^3+156*ln(ln(12))^2+560*ln(ln(12))+784)*x*ln(2*exp(x)+4)","A"
9230,1,6,13,0.007000," ","int(x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{4}}{4}$&$6$\\ default&$\frac{x^{4}}{4}$&$6$\\ norman&$\frac{x^{4}}{4}$&$6$\\ risch&$\frac{x^{4}}{4}$&$6$\\ \hline \end{longtable}"," ",0,"1/4*x^4","A"
9231,1,19,22,0.056000," ","int(((-x*exp(4*exp(2*x))+2*x+4)*ln(x*exp(4*exp(2*x))-2*x-4)+(8*exp(2*x)*x^2+x)*exp(4*exp(2*x))-2*x)*exp(ln(x*exp(4*exp(2*x))-2*x-4)/x)/(x^3*exp(4*exp(2*x))-2*x^3-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x \,{\mathrm e}^{4 \,{\mathrm e}^{2 x}}-2 x -4\right)^{\frac{1}{x}}$&$19$\\ \hline \end{longtable}"," ",0,"(x*exp(4*exp(2*x))-2*x-4)^(1/x)","A"
9232,1,27,31,0.061000," ","int(((((8*x+40)*exp(x)-8)*ln(x)^2+((4*x^2+16*x-16)*exp(x)+16)*ln(x)+(4*x+16)*exp(x)-16-4*x)*exp((-8*ln(x)-4*x)/((4+x)*exp(x)-x-4)/ln(x))+((x^2+8*x+16)*exp(x)^2+(-2*x^2-16*x-32)*exp(x)+x^2+8*x+16)*ln(x)^2)/((x^2+8*x+16)*exp(x)^2+(-2*x^2-16*x-32)*exp(x)+x^2+8*x+16)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-\frac{4 \left(2 \ln \left(x \right)+x \right)}{\left(4+x \right) \left({\mathrm e}^{x}-1\right) \ln \left(x \right)}}$&$27$\\ \hline \end{longtable}"," ",0,"x+exp(-4*(2*ln(x)+x)/(4+x)/(exp(x)-1)/ln(x))","A"
9233,1,17,16,0.020000," ","int(1/90*(-144*x^4*exp(x^2)+45*x^2+640)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(x \right)}{2}-\frac{32}{9 x^{2}}-\frac{4 \,{\mathrm e}^{x^{2}}}{5}$&$17$\\ risch&$\frac{\ln \left(x \right)}{2}-\frac{32}{9 x^{2}}-\frac{4 \,{\mathrm e}^{x^{2}}}{5}$&$17$\\ norman&$\frac{-\frac{32}{9}-\frac{4 x^{2} {\mathrm e}^{x^{2}}}{5}}{x^{2}}+\frac{\ln \left(x \right)}{2}$&$21$\\ \hline \end{longtable}"," ",0,"1/2*ln(x)-32/9/x^2-4/5*exp(x^2)","A"
9234,1,43,29,0.098000," ","int(((-30*x^3-270*x^2-630*x-270)*exp(x)-40*ln(2)+120*x^3+540*x^2+460*x+80)/((27*x^9+486*x^8+3645*x^7+14580*x^6+32805*x^5+39366*x^4+19683*x^3)*exp(x)^3+((108*x^7+1296*x^6+5832*x^5+11664*x^4+8748*x^3)*ln(2)-81*x^10-1458*x^9-10827*x^8-42660*x^7-95175*x^6-118098*x^5-73629*x^4-17496*x^3)*exp(x)^2+((144*x^5+864*x^4+1296*x^3)*ln(2)^2+(-216*x^8-2592*x^7-11376*x^6-22176*x^5-18360*x^4-5184*x^3)*ln(2)+81*x^11+1458*x^10+10719*x^9+41580*x^8+92079*x^7+118386*x^6+86625*x^5+33264*x^4+5184*x^3)*exp(x)+64*x^3*ln(2)^3+(-144*x^6-864*x^5-1104*x^4-384*x^3)*ln(2)^2+(108*x^9+1296*x^8+5544*x^7+10512*x^6+9804*x^5+4416*x^4+768*x^3)*ln(2)-27*x^12-486*x^11-3537*x^10-13500*x^9-29709*x^8-39654*x^7-32615*x^6-16152*x^5-4416*x^4-512*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{x^{2} \left(3 \,{\mathrm e}^{x} x^{2}-3 x^{3}+18 \,{\mathrm e}^{x} x -18 x^{2}+4 \ln \left(2\right)+27 \,{\mathrm e}^{x}-23 x -8\right)^{2}}$&$43$\\ \hline \end{longtable}"," ",0,"5/x^2/(3*exp(x)*x^2-3*x^3+18*exp(x)*x-18*x^2+4*ln(2)+27*exp(x)-23*x-8)^2","A"
9235,1,22,21,0.220000," ","int((4*exp(4)+20*x^4-112*x^3+480*x^2-2240*x+1600)/((x^2-14*x+49)*exp(4)^2+(2*x^6-28*x^5+178*x^4-1120*x^3+4720*x^2-11200*x+39200)*exp(4)+x^10-14*x^9+129*x^8-1120*x^7+6320*x^6-33600*x^5+149600*x^4-448000*x^3+1728000*x^2-2240000*x+7840000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4}{\left(x -7\right) \left(x^{4}+40 x^{2}+{\mathrm e}^{4}+400\right)}$&$22$\\ gosper&$-\frac{4}{x^{5}-7 x^{4}+40 x^{3}+x \,{\mathrm e}^{4}-280 x^{2}-7 \,{\mathrm e}^{4}+400 x -2800}$&$36$\\ risch&$-\frac{4}{x^{5}-7 x^{4}+40 x^{3}+x \,{\mathrm e}^{4}-280 x^{2}-7 \,{\mathrm e}^{4}+400 x -2800}$&$36$\\ \hline \end{longtable}"," ",0,"-4/(x-7)/(x^4+40*x^2+exp(4)+400)","A"
9236,1,26,26,0.121000," ","int(((2*x^3-7*x^2+6*x-3)*exp(2*x+3)*exp((x^2-4*x+3)*exp(2*x+3)/x/ln(2))+5*x^2*ln(2))/x^2/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x +{\mathrm e}^{\frac{\left(x -1\right) \left(x -3\right) {\mathrm e}^{2 x +3}}{x \ln \left(2\right)}}$&$26$\\ norman&$\frac{x \,{\mathrm e}^{\frac{\left(x^{2}-4 x +3\right) {\mathrm e}^{2 x +3}}{x \ln \left(2\right)}}+5 x^{2}}{x}$&$36$\\ \hline \end{longtable}"," ",0,"5*x+exp((x-1)*(x-3)*exp(2*x+3)/x/ln(2))","A"
9237,1,39,23,0.623000," ","int((((-2*x^3-6*x^2)*exp(3)-6*x)*ln((x^2+3*x)*exp(3)+3)+(8*x+12)*exp(3)*ln(2)^4+(-2*x^3-3*x^2)*exp(3))/((x^2+3*x)*exp(3)+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 \ln \left(2\right)^{4} \ln \left(\left(x^{2}+3 x \right) {\mathrm e}^{3}+3\right)-x^{2} \ln \left(\left(x^{2}+3 x \right) {\mathrm e}^{3}+3\right)$&$39$\\ risch&$-x^{2} \ln \left(\left(x^{2}+3 x \right) {\mathrm e}^{3}+3\right)+4 \ln \left(2\right)^{4} \ln \left(x^{2} {\mathrm e}^{3}+3 x \,{\mathrm e}^{3}+3\right)$&$40$\\ default&$-x^{2} \ln \left(x^{2} {\mathrm e}^{3}+3 x \,{\mathrm e}^{3}+3\right)+4 \ln \left(2\right)^{4} \ln \left(x^{2} {\mathrm e}^{3}+3 x \,{\mathrm e}^{3}+3\right)$&$41$\\ \hline \end{longtable}"," ",0,"4*ln(2)^4*ln((x^2+3*x)*exp(3)+3)-x^2*ln((x^2+3*x)*exp(3)+3)","A"
9238,1,19,19,0.056000," ","int(1/81*(4096*x^3*exp(256/81*x^4)+405)*exp(4*exp(256/81*x^4)+5*x-1)+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{256 x^{4}}{81}}+5 x -1}$&$19$\\ norman&$2 x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{256 x^{4}}{81}}+5 x -1}$&$19$\\ risch&$2 x +{\mathrm e}^{4 \,{\mathrm e}^{\frac{256 x^{4}}{81}}+5 x -1}$&$19$\\ \hline \end{longtable}"," ",0,"2*x+exp(4*exp(256/81*x^4)+5*x-1)","A"
9239,1,17,24,0.034000," ","int((45*x^4-216*x^2+2*x+142)/(9*x^5-72*x^3+x^2+142*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \left(9 x^{4}-72 x^{2}+x +142\right)\right)$&$17$\\ derivativedivides&$\ln \left(9 x^{5}-72 x^{3}+x^{2}+142 x \right)$&$19$\\ risch&$\ln \left(9 x^{5}-72 x^{3}+x^{2}+142 x \right)$&$19$\\ norman&$\ln \left(x \right)+\ln \left(x -2\right)+\ln \left(9 x^{3}+18 x^{2}-36 x -71\right)$&$24$\\ \hline \end{longtable}"," ",0,"ln(x*(9*x^4-72*x^2+x+142))","A"
9240,1,24,23,0.200000," ","int(1/18*(-18*x+5)*ln(5)*exp(1/9*(27*x+5)/x)-3*x*ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-\frac{3 x^{2} \ln \left(5\right)}{2}-\frac{x^{2} \ln \left(5\right) {\mathrm e}^{\frac{5}{9 x}+3}}{2}$&$24$\\ default&$-\frac{3 x^{2} \ln \left(5\right)}{2}-\frac{x^{2} \ln \left(5\right) {\mathrm e}^{\frac{5}{9 x}+3}}{2}$&$24$\\ norman&$-\frac{3 x^{2} \ln \left(5\right)}{2}-\frac{x^{2} \ln \left(5\right) {\mathrm e}^{\frac{27 x +5}{9 x}}}{2}$&$27$\\ risch&$-\frac{3 x^{2} \ln \left(5\right)}{2}-\frac{x^{2} \ln \left(5\right) {\mathrm e}^{\frac{27 x +5}{9 x}}}{2}$&$27$\\ \hline \end{longtable}"," ",0,"-3/2*x^2*ln(5)-1/2*x^2*ln(5)*exp(5/9/x+3)","A"
9241,1,25,19,0.069000," ","int(((12*x^3-4*x^2+4*x-2)*exp(3)-4*x^2-2)/(3*x^7+6*x^5+3*x^3)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-3} \left(\frac{1}{3}-\frac{4 x \,{\mathrm e}^{3}}{3}+\frac{{\mathrm e}^{3}}{3}\right)}{x^{2} \left(x^{2}+1\right)}$&$25$\\ norman&$\frac{-\frac{4 x}{3}+\frac{\left({\mathrm e}^{3}+1\right) {\mathrm e}^{-3}}{3}}{x^{2} \left(x^{2}+1\right)}$&$26$\\ gosper&$-\frac{\left(4 x \,{\mathrm e}^{3}-{\mathrm e}^{3}-1\right) {\mathrm e}^{-3}}{3 x^{2} \left(x^{2}+1\right)}$&$28$\\ default&$\frac{{\mathrm e}^{-3} \left(-\frac{-{\mathrm e}^{3}-1}{x^{2}}-\frac{4 \,{\mathrm e}^{3}}{x}-\frac{2 \left(\frac{1}{2}-2 x \,{\mathrm e}^{3}+\frac{{\mathrm e}^{3}}{2}\right)}{x^{2}+1}\right)}{3}$&$46$\\ \hline \end{longtable}"," ",0,"exp(-3)*(1/3-4/3*x*exp(3)+1/3*exp(3))/x^2/(x^2+1)","A"
9242,1,30,28,0.085000," ","int((2*x*exp(x-1)*exp(exp(x-1))^2+(-2*x^2-9*x-1)*ln(2*ln(2)))/x/ln(2*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{x -1}}}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}-9 x -x^{2}-\ln \left(x \right)$&$30$\\ default&$\frac{-\ln \left(x \right) \ln \left(\ln \left(2\right)\right)-x^{2} \ln \left(2\right)-x^{2} \ln \left(\ln \left(2\right)\right)-\ln \left(2\right) \ln \left(x \right)+{\mathrm e}^{2 \,{\mathrm e}^{x -1}}-9 x \ln \left(2\right)-9 x \ln \left(\ln \left(2\right)\right)}{\ln \left(2 \ln \left(2\right)\right)}$&$57$\\ risch&$-\frac{x^{2} \ln \left(2\right)}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}-\frac{x^{2} \ln \left(\ln \left(2\right)\right)}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}-\frac{9 x \ln \left(2\right)}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}-\frac{9 x \ln \left(\ln \left(2\right)\right)}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}-\frac{\ln \left(x \right) \ln \left(2\right)}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}-\frac{\ln \left(x \right) \ln \left(\ln \left(2\right)\right)}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}+\frac{{\mathrm e}^{2 \,{\mathrm e}^{x -1}}}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}$&$105$\\ \hline \end{longtable}"," ",0,"1/(ln(2)+ln(ln(2)))*exp(exp(x-1))^2-9*x-x^2-ln(x)","A"
9243,1,33,22,0.512000," ","int(((8*x+24)*exp((8*exp(3)^2*ln(4+x)+(-8*x+64)*exp(3)^2+128)/exp(3)^2)+4+x)/(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -{\mathrm e}^{\left(8 \,{\mathrm e}^{6} \ln \left(4+x \right)+\left(-8 x +64\right) {\mathrm e}^{6}+128\right) {\mathrm e}^{-6}}$&$33$\\ risch&$x +\left(-x^{8}-32 x^{7}-448 x^{6}-3584 x^{5}-17920 x^{4}-57344 x^{3}-114688 x^{2}-131072 x -65536\right) {\mathrm e}^{-8 x +64+128 \,{\mathrm e}^{-6}}$&$54$\\ default&$\text{Expression too large to display}$&$2689$\\ \hline \end{longtable}"," ",0,"x-exp((8*exp(3)^2*ln(4+x)+(-8*x+64)*exp(3)^2+128)/exp(3)^2)","A"
9244,1,20,21,2.282000," ","int(((-2-3*x)*exp(exp(5))+(-2-3*x)*exp(2)-4*x^2+72*x+50)/((x^5+2*x^4+x^3)*exp(exp(5))^2+((2*x^5+4*x^4+2*x^3)*exp(2)+2*x^6-46*x^5-98*x^4-50*x^3)*exp(exp(5))+(x^5+2*x^4+x^3)*exp(2)^2+(2*x^6-46*x^5-98*x^4-50*x^3)*exp(2)+x^7-48*x^6+526*x^5+1200*x^4+625*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{1}{x^{2} \left(x +1\right) \left({\mathrm e}^{2}+{\mathrm e}^{{\mathrm e}^{5}}+x -25\right)}$&$20$\\ gosper&$\frac{1}{x^{2} \left({\mathrm e}^{2} x +x \,{\mathrm e}^{{\mathrm e}^{5}}+x^{2}+{\mathrm e}^{2}+{\mathrm e}^{{\mathrm e}^{5}}-24 x -25\right)}$&$29$\\ risch&$\frac{1}{x^{2} \left({\mathrm e}^{2} x +x \,{\mathrm e}^{{\mathrm e}^{5}}+x^{2}+{\mathrm e}^{2}+{\mathrm e}^{{\mathrm e}^{5}}-24 x -25\right)}$&$29$\\ \hline \end{longtable}"," ",0,"1/x^2/(x+1)/(exp(2)+exp(exp(5))+x-25)","A"
9245,1,30,22,0.040000," ","int((-6400*ln(x)^3+8*x^2*ln(3)^2)/x/ln(3)^2/exp((400*ln(x)^4+(-x^2-4)*ln(3)^2)/ln(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{\frac{-400 \ln \left(x \right)^{4}+x^{2} \ln \left(3\right)^{2}+4 \ln \left(3\right)^{2}}{\ln \left(3\right)^{2}}}$&$30$\\ \hline \end{longtable}"," ",0,"4*exp((-400*ln(x)^4+x^2*ln(3)^2+4*ln(3)^2)/ln(3)^2)","A"
9246,1,17,16,0.542000," ","int((-15*exp(5)-20*x)/(5*x*exp(5)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 \ln \left(x \right)-2 \ln \left(5 \,{\mathrm e}^{5}+4 x \right)$&$17$\\ norman&$-3 \ln \left(x \right)-2 \ln \left(5 \,{\mathrm e}^{5}+4 x \right)$&$17$\\ risch&$-3 \ln \left(x \right)-2 \ln \left(5 \,{\mathrm e}^{5}+4 x \right)$&$17$\\ meijerg&$-3 \ln \left(x \right)+3 \ln \left(5\right)-6 \ln \left(2\right)+15-2 \ln \left(1+\frac{4 x \,{\mathrm e}^{-5}}{5}\right)$&$25$\\ \hline \end{longtable}"," ",0,"-3*ln(x)-2*ln(5*exp(5)+4*x)","A"
9247,1,10,9,0.028000," ","int(10*x/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{5 x^{2}}{\ln \left(2\right)}$&$10$\\ default&$\frac{5 x^{2}}{\ln \left(2\right)}$&$10$\\ norman&$\frac{5 x^{2}}{\ln \left(2\right)}$&$10$\\ risch&$\frac{5 x^{2}}{\ln \left(2\right)}$&$10$\\ \hline \end{longtable}"," ",0,"5*x^2/ln(2)","A"
9248,1,41,18,0.089000," ","int((2*ln(5)^5-10*x*ln(5)^4+20*x^2*ln(5)^3-20*x^3*ln(5)^2+(10*x^4-36*x)*ln(5)-2*x^5-36*x^2)/(ln(5)^5-5*x*ln(5)^4+10*x^2*ln(5)^3-10*x^3*ln(5)^2+5*x^4*ln(5)-x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -\frac{36 \ln \left(5\right)}{\left(-\ln \left(5\right)+x \right)^{3}}-\frac{18 \ln \left(5\right)^{2}}{\left(-\ln \left(5\right)+x \right)^{4}}-\frac{18}{\left(-\ln \left(5\right)+x \right)^{2}}$&$41$\\ risch&$2 x -\frac{18 x^{2}}{\ln \left(5\right)^{4}-4 \ln \left(5\right)^{3} x +6 x^{2} \ln \left(5\right)^{2}-4 x^{3} \ln \left(5\right)+x^{4}}$&$43$\\ norman&$\frac{-20 x^{3} \ln \left(5\right)^{2}-30 x \ln \left(5\right)^{4}+\left(40 \ln \left(5\right)^{3}-18\right) x^{2}+2 x^{5}+8 \ln \left(5\right)^{5}}{\left(\ln \left(5\right)-x \right)^{4}}$&$50$\\ gosper&$\frac{8 \ln \left(5\right)^{5}-30 x \ln \left(5\right)^{4}+40 x^{2} \ln \left(5\right)^{3}-20 x^{3} \ln \left(5\right)^{2}+2 x^{5}-18 x^{2}}{\ln \left(5\right)^{4}-4 \ln \left(5\right)^{3} x +6 x^{2} \ln \left(5\right)^{2}-4 x^{3} \ln \left(5\right)+x^{4}}$&$76$\\ \hline \end{longtable}"," ",0,"2*x-36*ln(5)/(-ln(5)+x)^3-18*ln(5)^2/(-ln(5)+x)^4-18/(-ln(5)+x)^2","B"
9249,1,32,26,0.090000," ","int((((3-x)*ln(x)+exp(3)*(x-3)-x^2-x+12)*ln(ln(x)-exp(3)+4+x)^3+((-3*x^2+9*x)*ln(x)+(3*x^2-9*x)*exp(3)-3*x^3-3*x^2+36*x)*ln(ln(x)-exp(3)+4+x)^2+((2*x^4+15*x^3+63*x^2+54*x)*ln(x)+(-2*x^4-15*x^3-63*x^2-54*x)*exp(3)+2*x^5+23*x^4+123*x^3+306*x^2+216*x)*ln(ln(x)-exp(3)+4+x)+(-x^4+3*x^3)*ln(x)+(x^4-3*x^3)*exp(3)-3*x^5-21*x^4-60*x^3-108*x^2-54*x)/(((x^3+9*x^2+27*x+27)*ln(x)+(-x^3-9*x^2-27*x-27)*exp(3)+x^4+13*x^3+63*x^2+135*x+108)*ln(ln(x)-exp(3)+4+x)^3+((3*x^4+27*x^3+81*x^2+81*x)*ln(x)+(-3*x^4-27*x^3-81*x^2-81*x)*exp(3)+3*x^5+39*x^4+189*x^3+405*x^2+324*x)*ln(ln(x)-exp(3)+4+x)^2+((3*x^5+27*x^4+81*x^3+81*x^2)*ln(x)+(-3*x^5-27*x^4-81*x^3-81*x^2)*exp(3)+3*x^6+39*x^5+189*x^4+405*x^3+324*x^2)*ln(ln(x)-exp(3)+4+x)+(x^6+9*x^5+27*x^4+27*x^3)*ln(x)+(-x^6-9*x^5-27*x^4-27*x^3)*exp(3)+x^7+13*x^6+63*x^5+135*x^4+108*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{x^{2}+6 x +9}+\frac{x^{2}}{\left(x +\ln \left(\ln \left(x \right)-{\mathrm e}^{3}+4+x \right)\right)^{2}}$&$32$\\ \hline \end{longtable}"," ",0,"x/(x^2+6*x+9)+x^2/(x+ln(ln(x)-exp(3)+4+x))^2","A"
9250,1,74,13,0.052000," ","int(4*exp(x)^4+(-12*x^2-8*x+60)*exp(x)^3+(12*x^4+24*x^3-120*x^2-120*x+300)*exp(x)^2+(-4*x^6-24*x^5+60*x^4+240*x^3-300*x^2-600*x+500)*exp(x)+8*x^7-120*x^5+600*x^3-1000*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{4 x}+\left(-4 x^{2}+20\right) {\mathrm e}^{3 x}+\left(6 x^{4}-60 x^{2}+150\right) {\mathrm e}^{2 x}+\left(-4 x^{6}+60 x^{4}-300 x^{2}+500\right) {\mathrm e}^{x}+x^{8}-20 x^{6}+150 x^{4}-500 x^{2}+x$&$74$\\ default&$x +20 \,{\mathrm e}^{3 x}-4 x^{2} {\mathrm e}^{3 x}+6 \,{\mathrm e}^{2 x} x^{4}-60 \,{\mathrm e}^{2 x} x^{2}+150 \,{\mathrm e}^{2 x}+60 \,{\mathrm e}^{x} x^{4}-300 \,{\mathrm e}^{x} x^{2}-4 x^{6} {\mathrm e}^{x}+500 \,{\mathrm e}^{x}-500 x^{2}+150 x^{4}-20 x^{6}+x^{8}+{\mathrm e}^{4 x}$&$89$\\ \hline \end{longtable}"," ",0,"exp(4*x)+(-4*x^2+20)*exp(3*x)+(6*x^4-60*x^2+150)*exp(2*x)+(-4*x^6+60*x^4-300*x^2+500)*exp(x)+x^8-20*x^6+150*x^4-500*x^2+x","B"
9251,1,5,4,0.018000," ","int(-exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-{\mathrm e}^{x}$&$5$\\ derivativedivides&$-{\mathrm e}^{x}$&$5$\\ default&$-{\mathrm e}^{x}$&$5$\\ norman&$-{\mathrm e}^{x}$&$5$\\ risch&$-{\mathrm e}^{x}$&$5$\\ meijerg&$1-{\mathrm e}^{x}$&$7$\\ \hline \end{longtable}"," ",0,"-exp(x)","A"
9252,1,19,14,0.033000," ","int(ln(5/4-1/4*exp(2))+18*x+21,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \ln \left(\frac{5}{4}-\frac{{\mathrm e}^{2}}{4}\right)+9 x^{2}+21 x$&$19$\\ default&$x \ln \left(\frac{5}{4}-\frac{{\mathrm e}^{2}}{4}\right)+9 x^{2}+21 x$&$19$\\ norman&$\left(-2 \ln \left(2\right)+\ln \left(5-{\mathrm e}^{2}\right)+21\right) x +9 x^{2}$&$22$\\ risch&$-2 x \ln \left(2\right)+x \ln \left(5-{\mathrm e}^{2}\right)+9 x^{2}+21 x$&$24$\\ \hline \end{longtable}"," ",0,"x*ln(5/4-1/4*exp(2))+9*x^2+21*x","A"
9253,1,186,29,3.392000," ","int(((13122*x^3*exp(1)^2-209952*x^2*exp(1))*exp(5/x)^10+(-21870*x^3*exp(1)^2+(58320*x^2-2916000*x)*exp(1)+46656000)*exp(5/x)^8+(14580*x^3*exp(1)^2+(54270*x^2+891000*x)*exp(1)+50544000)*exp(5/x)^6+(-4860*x^3*exp(1)^2+(-15390*x^2+378000*x)*exp(1)+18252000)*exp(5/x)^4+(810*x^3*exp(1)^2+(-3510*x^2-117000*x)*exp(1)+2197000)*exp(5/x)^2-54*x^3*exp(1)^2+1014*x^2*exp(1))*exp(((6561*x^2*exp(1)^2-209952*x*exp(1)+1679616)*exp(5/x)^8+(-8748*x^2*exp(1)^2-11664*x*exp(1)+2426112)*exp(5/x)^6+(4374*x^2*exp(1)^2+50382*x*exp(1)+1314144)*exp(5/x)^4+(-972*x^2*exp(1)^2+1404*x*exp(1)+316368)*exp(5/x)^2+81*x^2*exp(1)^2-3042*x*exp(1)+28561)/(6561*exp(5/x)^8-8748*exp(5/x)^6+4374*exp(5/x)^4-972*exp(5/x)^2+81))/(6561*x^2*exp(5/x)^10-10935*x^2*exp(5/x)^8+7290*x^2*exp(5/x)^6-2430*x^2*exp(5/x)^4+405*x^2*exp(5/x)^2-27*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-6561 x^{2} {\mathrm e}^{\frac{40+2 x}{x}}+8748 x^{2} {\mathrm e}^{\frac{2 x +30}{x}}-4374 x^{2} {\mathrm e}^{\frac{2 x +20}{x}}+972 x^{2} {\mathrm e}^{\frac{2 x +10}{x}}-81 x^{2} {\mathrm e}^{2}+209952 x \,{\mathrm e}^{\frac{40+x}{x}}+11664 x \,{\mathrm e}^{\frac{30+x}{x}}-50382 x \,{\mathrm e}^{\frac{20+x}{x}}-1404 x \,{\mathrm e}^{\frac{x +10}{x}}+3042 x \,{\mathrm e}-1679616 \,{\mathrm e}^{\frac{40}{x}}-2426112 \,{\mathrm e}^{\frac{30}{x}}-1314144 \,{\mathrm e}^{\frac{20}{x}}-316368 \,{\mathrm e}^{\frac{10}{x}}-28561}{-6561 \,{\mathrm e}^{\frac{40}{x}}+8748 \,{\mathrm e}^{\frac{30}{x}}-4374 \,{\mathrm e}^{\frac{20}{x}}+972 \,{\mathrm e}^{\frac{10}{x}}-81}}$&$186$\\ \hline \end{longtable}"," ",0,"exp(1/81*(-6561*x^2*exp(2*(20+x)/x)+8748*x^2*exp(2*(x+15)/x)-4374*x^2*exp(2*(x+10)/x)+972*x^2*exp(2/x*(5+x))-81*x^2*exp(2)+209952*x*exp((40+x)/x)+11664*x*exp((30+x)/x)-50382*x*exp((20+x)/x)-1404*x*exp((x+10)/x)+3042*x*exp(1)-1679616*exp(40/x)-2426112*exp(30/x)-1314144*exp(20/x)-316368*exp(10/x)-28561)/(-81*exp(40/x)+108*exp(30/x)-54*exp(20/x)+12*exp(10/x)-1))","B"
9254,1,43,28,0.058000," ","int((8*exp(1)*exp(2)*ln(x)*ln(ln(x))+((4*x^2*exp(1)+4*x^2)*exp(2)+8*x^2*exp(1))*ln(x)-8*exp(1)*exp(2))*exp((-8*exp(1)*exp(2)*ln(ln(x))+((4*x^2-2*x)*exp(1)+4*x^2)*exp(2)+8*x^2*exp(1))/x/exp(1)/exp(2))/x^2/exp(1)/exp(2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 \left(2 x^{2} {\mathrm e}^{3}-x \,{\mathrm e}^{3}+2 x^{2} {\mathrm e}^{2}+4 x^{2} {\mathrm e}-4 \ln \left(\ln \left(x \right)\right) {\mathrm e}^{3}\right) {\mathrm e}^{-3}}{x}}$&$43$\\ \hline \end{longtable}"," ",0,"exp(2*(2*x^2*exp(3)-x*exp(3)+2*x^2*exp(2)+4*x^2*exp(1)-4*ln(ln(x))*exp(3))*exp(-3)/x)","A"
9255,1,16,21,0.069000," ","int(-2*ln(5)*exp(2*ln(5)*ln(x)-3*ln(5)+1)*exp(-exp(2*ln(5)*ln(x)-3*ln(5)+1)-3*ln(2)+4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{x^{2 \ln \left(5\right)} {\mathrm e}}{125}+4}}{8}$&$16$\\ derivativedivides&${\mathrm e}^{-{\mathrm e}^{2 \ln \left(5\right) \ln \left(x \right)-3 \ln \left(5\right)+1}-3 \ln \left(2\right)+4}$&$23$\\ default&${\mathrm e}^{-{\mathrm e}^{2 \ln \left(5\right) \ln \left(x \right)-3 \ln \left(5\right)+1}-3 \ln \left(2\right)+4}$&$23$\\ norman&${\mathrm e}^{-{\mathrm e}^{2 \ln \left(5\right) \ln \left(x \right)-3 \ln \left(5\right)+1}-3 \ln \left(2\right)+4}$&$23$\\ \hline \end{longtable}"," ",0,"1/8*exp(-1/125*x^(2*ln(5))*exp(1)+4)","A"
9256,1,43,26,15.036000," ","int((-2*x*ln(60/(4*x*exp(1)^2+x))+2*exp(x))*exp(1/exp(x))^2/x/exp(x)/ln(60/(4*x*exp(1)^2+x))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \,{\mathrm e}^{2 \,{\mathrm e}^{-x}}}{\left(2 i \ln \left(5\right)+2 i \ln \left(3\right)+4 i \ln \left(2\right)-2 i \ln \left(4 \,{\mathrm e}^{2}+1\right)-2 i \ln \left(x \right)\right)^{2}}$&$43$\\ \hline \end{longtable}"," ",0,"-4/(2*I*ln(5)+2*I*ln(3)+4*I*ln(2)-2*I*ln(4*exp(2)+1)-2*I*ln(x))^2*exp(2*exp(-x))","C"
9257,1,12,12,0.035000," ","int((6*x^3+3*x^2+2*x)*exp(3*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{3 \left(x +1\right) x} x^{2}$&$12$\\ gosper&${\mathrm e}^{3 x^{2}+3 x} x^{2}$&$15$\\ default&${\mathrm e}^{3 x^{2}+3 x} x^{2}$&$15$\\ norman&${\mathrm e}^{3 x^{2}+3 x} x^{2}$&$15$\\ \hline \end{longtable}"," ",0,"exp(3*(x+1)*x)*x^2","A"
9258,1,28,35,0.138000," ","int((((-2*x-1)*exp(6)^2+(4*x^3+2*x^2+1)*exp(6)-2*x^5-x^4+x^2)*ln(x)^2+(exp(6)^2-2*x^2*exp(6)+x^4)*ln(x)-exp(6)^2+2*x^2*exp(6)-x^4)/(exp(6)^2-2*x^2*exp(6)+x^4)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x}{\ln \left(x \right)}-x^{2}-x +\frac{x}{{\mathrm e}^{6}-x^{2}}$&$28$\\ risch&$-\frac{x \left(-x^{3}+x \,{\mathrm e}^{6}-x^{2}+{\mathrm e}^{6}-1\right)}{{\mathrm e}^{6}-x^{2}}+\frac{x}{\ln \left(x \right)}$&$39$\\ norman&$\frac{x \,{\mathrm e}^{6}+x^{3} \ln \left(x \right)+x^{4} \ln \left(x \right)-\ln \left(x \right) {\mathrm e}^{12}+\left(-{\mathrm e}^{6}+1\right) x \ln \left(x \right)-x^{3}}{\left({\mathrm e}^{6}-x^{2}\right) \ln \left(x \right)}$&$56$\\ \hline \end{longtable}"," ",0,"x/ln(x)-x^2-x+x/(exp(6)-x^2)","A"
9259,1,18,18,0.518000," ","int(((25*x+50)*ln(2+x)^2+(25*x^2+75*x+50)*exp(x-7)*ln(2+x)-25*x*exp(x-7))/(2+x)/ln(2+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$25 x +\frac{25 x \,{\mathrm e}^{x -7}}{\ln \left(2+x \right)}$&$18$\\ risch&$25 x +\frac{25 x \,{\mathrm e}^{x -7}}{\ln \left(2+x \right)}$&$18$\\ norman&$\frac{25 x \,{\mathrm e}^{x -7}+25 x \ln \left(2+x \right)}{\ln \left(2+x \right)}$&$23$\\ \hline \end{longtable}"," ",0,"25*x+25*x/ln(2+x)*exp(x-7)","A"
9260,1,29,26,0.584000," ","int(((10*x-10)*ln(1/2*(x-1)/x)*ln(x)+(10*x^3-10*x^2)*ln(1/2*(x-1)/x)-5)/(x^2-x)/ln(1/2*(x-1)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 \ln \left(x \right)^{2}+5 x^{2}-5 \ln \left(\ln \left(2\right)-\ln \left(\frac{x -1}{x}\right)\right)$&$29$\\ risch&$5 x^{2}+5 \ln \left(x \right)^{2}-5 \ln \left(\ln \left(x -1\right)+\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right) \mathrm{csgn}\left(i \left(x -1\right)\right)-\pi  \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{2} \mathrm{csgn}\left(i \left(x -1\right)\right)+2 i \ln \left(2\right)+2 i \ln \left(x \right)\right)}{2}\right)$&$119$\\ \hline \end{longtable}"," ",0,"5*ln(x)^2+5*x^2-5*ln(ln(2)-ln((x-1)/x))","A"
9261,1,54,16,0.129000," ","int((2*x*exp(1)^2*ln(2)^2+(-4*x*exp(1)^2-4*x*exp(1))*ln(2)+2*x*exp(1)^2+4*x*exp(1)+2*x)*exp((x^2*exp(1)^2*ln(2)^2+(-2*x^2*exp(1)^2-2*x^2*exp(1))*ln(2)+x^2*exp(1)^2+2*x^2*exp(1)+x^2)/(exp(1)^2*ln(2)^2-2*exp(1)*ln(2)+1))/(exp(1)^2*ln(2)^2-2*exp(1)*ln(2)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{2} \left(-{\mathrm e}^{2} \ln \left(2\right)^{2}+2 \,{\mathrm e}^{2} \ln \left(2\right)-{\mathrm e}^{2}+2 \,{\mathrm e} \ln \left(2\right)-2 \,{\mathrm e}-1\right)}{-{\mathrm e}^{2} \ln \left(2\right)^{2}+2 \,{\mathrm e} \ln \left(2\right)-1}}$&$54$\\ gosper&${\mathrm e}^{\frac{x^{2} \left({\mathrm e}^{2} \ln \left(2\right)^{2}-2 \,{\mathrm e}^{2} \ln \left(2\right)-2 \,{\mathrm e} \ln \left(2\right)+{\mathrm e}^{2}+2 \,{\mathrm e}+1\right)}{{\mathrm e}^{2} \ln \left(2\right)^{2}-2 \,{\mathrm e} \ln \left(2\right)+1}}$&$58$\\ derivativedivides&${\mathrm e}^{\frac{x^{2} {\mathrm e}^{2} \ln \left(2\right)^{2}+\left(-2 x^{2} {\mathrm e}^{2}-2 x^{2} {\mathrm e}\right) \ln \left(2\right)+x^{2} {\mathrm e}^{2}+2 x^{2} {\mathrm e}+x^{2}}{{\mathrm e}^{2} \ln \left(2\right)^{2}-2 \,{\mathrm e} \ln \left(2\right)+1}}$&$73$\\ default&${\mathrm e}^{\frac{x^{2} {\mathrm e}^{2} \ln \left(2\right)^{2}+\left(-2 x^{2} {\mathrm e}^{2}-2 x^{2} {\mathrm e}\right) \ln \left(2\right)+x^{2} {\mathrm e}^{2}+2 x^{2} {\mathrm e}+x^{2}}{{\mathrm e}^{2} \ln \left(2\right)^{2}-2 \,{\mathrm e} \ln \left(2\right)+1}}$&$73$\\ norman&${\mathrm e}^{\frac{x^{2} {\mathrm e}^{2} \ln \left(2\right)^{2}+\left(-2 x^{2} {\mathrm e}^{2}-2 x^{2} {\mathrm e}\right) \ln \left(2\right)+x^{2} {\mathrm e}^{2}+2 x^{2} {\mathrm e}+x^{2}}{{\mathrm e}^{2} \ln \left(2\right)^{2}-2 \,{\mathrm e} \ln \left(2\right)+1}}$&$73$\\ meijerg&$-\frac{\left(2 \,{\mathrm e}^{2} \ln \left(2\right)^{2}-4 \,{\mathrm e}^{2} \ln \left(2\right)+2 \,{\mathrm e}^{2}-4 \,{\mathrm e} \ln \left(2\right)+4 \,{\mathrm e}+2\right) \left(1-{\mathrm e}^{\frac{x^{2} \left({\mathrm e}^{2} \ln \left(2\right)^{2}+\ln \left(2\right) \left(-2 \,{\mathrm e}^{2}-2 \,{\mathrm e}\right)+{\mathrm e}^{2}+2 \,{\mathrm e}+1\right)}{{\mathrm e}^{2} \ln \left(2\right)^{2}-2 \,{\mathrm e} \ln \left(2\right)+1}}\right)}{2 \left({\mathrm e}^{2} \ln \left(2\right)^{2}+\ln \left(2\right) \left(-2 \,{\mathrm e}^{2}-2 \,{\mathrm e}\right)+{\mathrm e}^{2}+2 \,{\mathrm e}+1\right)}$&$115$\\ \hline \end{longtable}"," ",0,"exp(x^2*(-exp(2)*ln(2)^2+2*exp(2)*ln(2)-exp(2)+2*exp(1)*ln(2)-2*exp(1)-1)/(-exp(2)*ln(2)^2+2*exp(1)*ln(2)-1))","B"
9262,1,33,22,0.240000," ","int(((15*exp(x)+15)*ln(exp(x)^2+2*exp(x)+1)+((60*x+60)*exp(2-x)-30*x+240)*exp(x)+(60*x+60)*exp(2-x)+240)/(exp(x)*x^2+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-15 \,{\mathrm e}^{x} \ln \left({\mathrm e}^{2 x}+2 \,{\mathrm e}^{x}+1\right)-60 \,{\mathrm e}^{2}-240 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{x}$&$33$\\ default&$\frac{\left(\left(-15 \ln \left(\left({\mathrm e}^{x}+1\right)^{2}\right)+30 \ln \left({\mathrm e}^{x}+1\right)-240\right) {\mathrm e}^{x}-30 \,{\mathrm e}^{x} \ln \left({\mathrm e}^{x}+1\right)-60 \,{\mathrm e}^{2}\right) {\mathrm e}^{-x}}{x}$&$44$\\ risch&$-\frac{30 \ln \left({\mathrm e}^{x}+1\right)}{x}-\frac{15 \left(-i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)^{2}\right)+2 i {\mathrm e}^{x} \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)^{2}\right)^{2}-i {\mathrm e}^{x} \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)^{2}\right)^{3}+8 \,{\mathrm e}^{2}+32 \,{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{2 x}$&$100$\\ \hline \end{longtable}"," ",0,"(-15*exp(x)*ln(exp(x)^2+2*exp(x)+1)-60*exp(2)-240*exp(x))/exp(x)/x","A"
9263,1,9,27,0.014000," ","int(1/3-2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(3 x -1\right)}{3}$&$9$\\ default&$\frac{1}{3} x -x^{2}$&$10$\\ norman&$\frac{1}{3} x -x^{2}$&$10$\\ risch&$\frac{1}{3} x -x^{2}$&$10$\\ \hline \end{longtable}"," ",0,"-1/3*x*(3*x-1)","A"
9264,1,71,46,0.220000," ","int(((450*x^7+13500*x^6+135000*x^5+449700*x^4-3000*x^3-400*x-2000)*exp(x)^2+2*(450*x^7+13050*x^6+121500*x^5+315300*x^4-443400*x^3+39000*x^2+30000*x)*ln(2)*exp(x)+4*(-450*x^6-13500*x^5-135000*x^4-450000*x^3)*ln(2)^2)/(x^6+30*x^5+300*x^4+1000*x^3)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$225 x^{2}+\frac{300 x^{3}+3000 x^{2}+100}{x^{2} \left(x^{2}+20 x +100\right)}-\frac{300 \ln \left(2\right) \left(3 x^{3}+30 x^{2}+2\right) {\mathrm e}^{-x}}{x \left(x +10\right)}+900 \ln \left(2\right)^{2} {\mathrm e}^{-2 x}$&$71$\\ default&$\frac{1}{x^{2}}-\frac{1}{5 x}+\frac{1}{\left(x +10\right)^{2}}+\frac{1501}{5 \left(x +10\right)}+225 x^{2}+900 \ln \left(2\right)^{2} {\mathrm e}^{-2 x}-\frac{600 \ln \left(2\right) {\mathrm e}^{-x}}{x^{2}+20 x +100}-\frac{6000 \ln \left(2\right) {\mathrm e}^{-x}}{x \left(x^{2}+20 x +100\right)}-900 \ln \left(2\right) {\mathrm e}^{-x} x$&$85$\\ norman&$\frac{\left(-2247000 \,{\mathrm e}^{2 x} x^{2}-449700 \,{\mathrm e}^{2 x} x^{3}+100 \,{\mathrm e}^{2 x}+90000 x^{2} \ln \left(2\right)^{2}+18000 x^{3} \ln \left(2\right)^{2}+900 x^{4} \ln \left(2\right)^{2}+4500 x^{5} {\mathrm e}^{2 x}+225 x^{6} {\mathrm e}^{2 x}-6000 x \ln \left(2\right) {\mathrm e}^{x}-600 x^{2} \ln \left(2\right) {\mathrm e}^{x}-90000 x^{3} \ln \left(2\right) {\mathrm e}^{x}-18000 \,{\mathrm e}^{x} \ln \left(2\right) x^{4}-900 \,{\mathrm e}^{x} \ln \left(2\right) x^{5}\right) {\mathrm e}^{-2 x}}{x^{2} \left(x +10\right)^{2}}$&$127$\\ \hline \end{longtable}"," ",0,"225*x^2+(300*x^3+3000*x^2+100)/x^2/(x^2+20*x+100)-300*ln(2)*(3*x^3+30*x^2+2)/x/(x+10)*exp(-x)+900*ln(2)^2*exp(-2*x)","A"
9265,1,20,18,0.151000," ","int(((-exp(3)^2+(-3*x^2-10*x)*exp(3))*ln(x)+exp(3)^2+(x^2+5*x)*exp(3))/(x^2*exp(3)^2+(2*x^4+10*x^3)*exp(3)+x^6+10*x^5+25*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(x \right) {\mathrm e}^{3}}{x \left(x^{2}+{\mathrm e}^{3}+5 x \right)}$&$20$\\ risch&$\frac{\ln \left(x \right) {\mathrm e}^{3}}{x \left(x^{2}+{\mathrm e}^{3}+5 x \right)}$&$20$\\ default&$-5 \,{\mathrm e}^{3} {\mathrm e}^{-6} \ln \left(x \right)+\frac{5 \,{\mathrm e}^{3} {\mathrm e}^{-6} \ln \left(x^{2}+{\mathrm e}^{3}+5 x \right)}{2}+\frac{25 \,{\mathrm e}^{-6} \arctan \left(\frac{5+2 x}{\sqrt{4 \,{\mathrm e}^{3}-25}}\right) {\mathrm e}^{3}}{\sqrt{4 \,{\mathrm e}^{3}-25}}-\frac{2 \,{\mathrm e}^{-6} \arctan \left(\frac{5+2 x}{\sqrt{4 \,{\mathrm e}^{3}-25}}\right) {\mathrm e}^{6}}{\sqrt{4 \,{\mathrm e}^{3}-25}}+5 \ln \left(x \right)^{2} {\mathrm e}^{-12} {\mathrm e}^{9}-5 \,{\mathrm e}^{3} \ln \left(x \right)^{2} {\mathrm e}^{-6}+\frac{{\mathrm e}^{6} {\mathrm e}^{-6} \ln \left(x \right)}{x}+\frac{{\mathrm e}^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(\textit{\_Z}^{4}+10 \textit{\_Z}^{3}+\left(2 \,{\mathrm e}^{3}+25\right) \textit{\_Z}^{2}+10 \textit{\_Z} \,{\mathrm e}^{3}+{\mathrm e}^{6}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} {\mathrm e}^{9}+10 \,{\mathrm e}^{9} \textit{\_R1} +25 \,{\mathrm e}^{9}-{\mathrm e}^{12}\right) \left(\ln \left(x \right) \ln \left(\frac{\textit{\_R1} -x}{\textit{\_R1}}\right)+\dilog \left(\frac{\textit{\_R1} -x}{\textit{\_R1}}\right)\right)}{2 \textit{\_R1}^{3}+2 \textit{\_R1} \,{\mathrm e}^{3}+15 \textit{\_R1}^{2}+5 \,{\mathrm e}^{3}+25 \textit{\_R1}}\right) {\mathrm e}^{-12}}{2}$&$255$\\ \hline \end{longtable}"," ",0,"ln(x)*exp(3)/x/(x^2+exp(3)+5*x)","A"
9266,1,29,25,0.058000," ","int(((-60*x^2+120*x+900)*exp(6)*ln(5-x)+(-450*x^3+450*x^2+7650*x+6750)*exp(6)*exp(x)+(30*x^3-120*x^2-90*x+1620)*exp(6))/((x-5)*ln(5-x)^2+((-30*x+150)*exp(x)-2*x^2+10*x)*ln(5-x)+(225*x-1125)*exp(x)^2+(30*x^2-150*x)*exp(x)+x^3-5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{30 \left(x^{2}+6 x +9\right) {\mathrm e}^{6}}{15 \,{\mathrm e}^{x}-\ln \left(5-x \right)+x}$&$29$\\ \hline \end{longtable}"," ",0,"30*(x^2+6*x+9)*exp(6)/(15*exp(x)-ln(5-x)+x)","A"
9267,1,140,27,0.097000," ","int((4*x^3*ln(x)*ln(4/x/ln(x))+(-5*x^4-x^3+3)*ln(x)-x^3)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{4} \ln \left(\ln \left(x \right)\right)-x^{4} \ln \left(x \right)+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)}\right)^{2}}{2}-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)}{2}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)}{2}-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(\frac{i}{x \ln \left(x \right)}\right)^{3}}{2}+2 x^{4} \ln \left(2\right)-x^{5}+3 x$&$140$\\ \hline \end{longtable}"," ",0,"-x^4*ln(ln(x))-x^4*ln(x)+1/2*I*Pi*x^4*csgn(I/x)*csgn(I/x/ln(x))^2-1/2*I*Pi*x^4*csgn(I/x)*csgn(I/x/ln(x))*csgn(I/ln(x))+1/2*I*Pi*x^4*csgn(I/x/ln(x))^2*csgn(I/ln(x))-1/2*I*Pi*x^4*csgn(I/x/ln(x))^3+2*x^4*ln(2)-x^5+3*x","C"
9268,1,27,26,0.065000," ","int(((x*exp(1)+3*x)*ln(2*x)+(2*x^2+2*x-1)*exp(1)+6*x^2+6*x-3)/(2*x*ln(2*x)+4*x^2+8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{3}{2}+\frac{{\mathrm e}}{2}\right) x +\left(-\frac{3}{2}-\frac{{\mathrm e}}{2}\right) \ln \left(\ln \left(2 x \right)+2 x +4\right)$&$27$\\ risch&$\frac{3 x}{2}+\frac{x \,{\mathrm e}}{2}-\frac{3 \ln \left(\ln \left(2 x \right)+2 x +4\right)}{2}-\frac{\ln \left(\ln \left(2 x \right)+2 x +4\right) {\mathrm e}}{2}$&$36$\\ \hline \end{longtable}"," ",0,"(3/2+1/2*exp(1))*x+(-3/2-1/2*exp(1))*ln(ln(2*x)+2*x+4)","A"
9269,1,185,28,0.319000," ","int(((((-3*exp(exp(5))-3*x)*ln(exp(exp(5))+x)+12*exp(exp(5))+12*x)*ln(ln(exp(exp(5))+x)-4)+(-3*exp(x^2)*exp(exp(5))-3*exp(x^2)*x)*ln(exp(exp(5))+x)+12*exp(x^2)*exp(exp(5))+12*exp(x^2)*x)*ln(x/(ln(ln(exp(exp(5))+x)-4)+exp(x^2)))+((-9*exp(exp(5))-9*x)*ln(exp(exp(5))+x)+36*exp(exp(5))+36*x)*ln(ln(exp(exp(5))+x)-4)+((6*x^2-9)*exp(x^2)*exp(exp(5))+(6*x^3-9*x)*exp(x^2))*ln(exp(exp(5))+x)+(-24*x^2+36)*exp(x^2)*exp(exp(5))+(-24*x^3+36*x)*exp(x^2)+3*x)/((((x^2*exp(exp(5))+x^3)*ln(exp(exp(5))+x)-4*x^2*exp(exp(5))-4*x^3)*ln(ln(exp(exp(5))+x)-4)+(x^2*exp(x^2)*exp(exp(5))+x^3*exp(x^2))*ln(exp(exp(5))+x)-4*x^2*exp(x^2)*exp(exp(5))-4*x^3*exp(x^2))*ln(x/(ln(ln(exp(exp(5))+x)-4)+exp(x^2)))^2+(((4*x^2*exp(exp(5))+4*x^3)*ln(exp(exp(5))+x)-16*x^2*exp(exp(5))-16*x^3)*ln(ln(exp(exp(5))+x)-4)+(4*x^2*exp(x^2)*exp(exp(5))+4*x^3*exp(x^2))*ln(exp(exp(5))+x)-16*x^2*exp(x^2)*exp(exp(5))-16*x^3*exp(x^2))*ln(x/(ln(ln(exp(exp(5))+x)-4)+exp(x^2)))+((4*x^2*exp(exp(5))+4*x^3)*ln(exp(exp(5))+x)-16*x^2*exp(exp(5))-16*x^3)*ln(ln(exp(exp(5))+x)-4)+(4*x^2*exp(x^2)*exp(exp(5))+4*x^3*exp(x^2))*ln(exp(exp(5))+x)-16*x^2*exp(x^2)*exp(exp(5))-16*x^3*exp(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{6 i}{x \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left({\mathrm e}^{{\mathrm e}^{5}}+x \right)-4\right)+{\mathrm e}^{x^{2}}}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(\ln \left({\mathrm e}^{{\mathrm e}^{5}}+x \right)-4\right)+{\mathrm e}^{x^{2}}}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(\ln \left({\mathrm e}^{{\mathrm e}^{5}}+x \right)-4\right)+{\mathrm e}^{x^{2}}}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(\ln \left({\mathrm e}^{{\mathrm e}^{5}}+x \right)-4\right)+{\mathrm e}^{x^{2}}}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(\ln \left({\mathrm e}^{{\mathrm e}^{5}}+x \right)-4\right)+{\mathrm e}^{x^{2}}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(\ln \left({\mathrm e}^{{\mathrm e}^{5}}+x \right)-4\right)+{\mathrm e}^{x^{2}}}\right)^{3}+2 i \ln \left(x \right)-2 i \ln \left(\ln \left(\ln \left({\mathrm e}^{{\mathrm e}^{5}}+x \right)-4\right)+{\mathrm e}^{x^{2}}\right)+4 i\right)}$&$185$\\ \hline \end{longtable}"," ",0,"6*I/x/(Pi*csgn(I*x)*csgn(I/(ln(ln(exp(exp(5))+x)-4)+exp(x^2)))*csgn(I*x/(ln(ln(exp(exp(5))+x)-4)+exp(x^2)))-Pi*csgn(I*x)*csgn(I*x/(ln(ln(exp(exp(5))+x)-4)+exp(x^2)))^2-Pi*csgn(I/(ln(ln(exp(exp(5))+x)-4)+exp(x^2)))*csgn(I*x/(ln(ln(exp(exp(5))+x)-4)+exp(x^2)))^2+Pi*csgn(I*x/(ln(ln(exp(exp(5))+x)-4)+exp(x^2)))^3+2*I*ln(x)-2*I*ln(ln(ln(exp(exp(5))+x)-4)+exp(x^2))+4*I)","C"
9270,1,37,30,0.347000," ","int(((-exp(x^2)+exp(4)^2+10*x*exp(4)+25*x^2)*ln(-exp(x^2)*x+x*exp(4)^2+10*x^2*exp(4)+25*x^3)+(exp(5)+2*x^2+1)*exp(x^2)+(-exp(4)^2-10*x*exp(4)-25*x^2)*exp(5)-exp(4)^2-20*x*exp(4)-75*x^2)/(x^2*exp(x^2)-x^2*exp(4)^2-10*x^3*exp(4)-25*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-{\mathrm e}^{5}+\ln \left(-{\mathrm e}^{x^{2}} x +x \,{\mathrm e}^{8}+10 x^{2} {\mathrm e}^{4}+25 x^{3}\right)}{x}$&$37$\\ risch&$\frac{\ln \left(-{\mathrm e}^{x^{2}}+{\mathrm e}^{8}+10 x \,{\mathrm e}^{4}+25 x^{2}\right)}{x}-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(-{\mathrm e}^{x^{2}}+{\mathrm e}^{8}+10 x \,{\mathrm e}^{4}+25 x^{2}\right)\right) \mathrm{csgn}\left(i x \left(-{\mathrm e}^{x^{2}}+{\mathrm e}^{8}+10 x \,{\mathrm e}^{4}+25 x^{2}\right)\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(-{\mathrm e}^{x^{2}}+{\mathrm e}^{8}+10 x \,{\mathrm e}^{4}+25 x^{2}\right)\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{x^{2}}+{\mathrm e}^{8}+10 x \,{\mathrm e}^{4}+25 x^{2}\right)\right) \mathrm{csgn}\left(i x \left(-{\mathrm e}^{x^{2}}+{\mathrm e}^{8}+10 x \,{\mathrm e}^{4}+25 x^{2}\right)\right)^{2}+i \pi  \mathrm{csgn}\left(i x \left(-{\mathrm e}^{x^{2}}+{\mathrm e}^{8}+10 x \,{\mathrm e}^{4}+25 x^{2}\right)\right)^{3}+2 \,{\mathrm e}^{5}-2 \ln \left(x \right)}{2 x}$&$214$\\ \hline \end{longtable}"," ",0,"(-exp(5)+ln(-exp(x^2)*x+x*exp(4)^2+10*x^2*exp(4)+25*x^3))/x","A"
9271,1,229,27,0.304000," ","int(((3*x^2+5*x-5)*exp(x)*ln(81*x^4)+(3*x^2+5*x-5)*exp(x)*ln(x)-5*exp(x)^2+(-3*x^3+10*x^2+15*x-45)*exp(x))/(x^2*ln(81*x^4)^2+(2*x^2*ln(x)+2*exp(x)*x^2-2*x^3+8*x^2)*ln(81*x^4)+x^2*ln(x)^2+(2*exp(x)*x^2-2*x^3+8*x^2)*ln(x)+exp(x)^2*x^2+(-2*x^3+8*x^2)*exp(x)+x^4-8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(3 x +5\right) {\mathrm e}^{x}}{x \left(-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)+i \pi  \mathrm{csgn}\left(i x^{4}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}-2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-8-8 \ln \left(3\right)+2 x -2 \,{\mathrm e}^{x}-10 \ln \left(x \right)\right)}$&$229$\\ \hline \end{longtable}"," ",0,"-2*(3*x+5)*exp(x)/x/(-I*Pi*csgn(I*x^2)*csgn(I*x^3)^2+I*Pi*csgn(I*x^3)^3+I*Pi*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)+I*Pi*csgn(I*x^4)^3+I*Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-I*Pi*csgn(I*x)*csgn(I*x^4)^2-2*I*Pi*csgn(I*x^2)^2*csgn(I*x)+I*Pi*csgn(I*x^2)*csgn(I*x)^2+I*Pi*csgn(I*x^2)^3-I*Pi*csgn(I*x^3)*csgn(I*x^4)^2-I*Pi*csgn(I*x)*csgn(I*x^3)^2-8-8*ln(3)+2*x-2*exp(x)-10*ln(x))","C"
9272,1,35,26,0.223000," ","int((((20*x^2-20*x+5)*exp(2+x)+60*x^3-234*x^2+192*x-45)*ln(((-10*x+5)*exp(2+x)-30*x^2+102*x-45)/(30*x-15))+(-20*x^2+20*x-5)*exp(2+x)-60*x^2+60*x-12)/((20*x^2-20*x+5)*exp(2+x)+60*x^3-234*x^2+192*x-45)/ln(((-10*x+5)*exp(2+x)-30*x^2+102*x-45)/(30*x-15)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\ln \left(\ln \left(\frac{\left(-10 x +5\right) {\mathrm e}^{2+x}-30 x^{2}+102 x -45}{30 x -15}\right)\right)$&$35$\\ risch&$x -\ln \left(\ln \left(x^{2}+\left(\frac{{\mathrm e}^{2+x}}{3}-\frac{17}{5}\right) x -\frac{{\mathrm e}^{2+x}}{6}+\frac{3}{2}\right)+\frac{i \left(-2 \pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\frac{{\mathrm e}^{2+x}}{3}-\frac{17}{5}\right) x -\frac{{\mathrm e}^{2+x}}{6}+\frac{3}{2}\right)}{x -\frac{1}{2}}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{x -\frac{1}{2}}\right) \mathrm{csgn}\left(i \left(x^{2}+\left(\frac{{\mathrm e}^{2+x}}{3}-\frac{17}{5}\right) x -\frac{{\mathrm e}^{2+x}}{6}+\frac{3}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\frac{{\mathrm e}^{2+x}}{3}-\frac{17}{5}\right) x -\frac{{\mathrm e}^{2+x}}{6}+\frac{3}{2}\right)}{x -\frac{1}{2}}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x -\frac{1}{2}}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\frac{{\mathrm e}^{2+x}}{3}-\frac{17}{5}\right) x -\frac{{\mathrm e}^{2+x}}{6}+\frac{3}{2}\right)}{x -\frac{1}{2}}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(x^{2}+\left(\frac{{\mathrm e}^{2+x}}{3}-\frac{17}{5}\right) x -\frac{{\mathrm e}^{2+x}}{6}+\frac{3}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\frac{{\mathrm e}^{2+x}}{3}-\frac{17}{5}\right) x -\frac{{\mathrm e}^{2+x}}{6}+\frac{3}{2}\right)}{x -\frac{1}{2}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x^{2}+\left(\frac{{\mathrm e}^{2+x}}{3}-\frac{17}{5}\right) x -\frac{{\mathrm e}^{2+x}}{6}+\frac{3}{2}\right)}{x -\frac{1}{2}}\right)^{3}+2 \pi +2 i \ln \left(x -\frac{1}{2}\right)\right)}{2}\right)$&$281$\\ \hline \end{longtable}"," ",0,"x-ln(ln(((-10*x+5)*exp(2+x)-30*x^2+102*x-45)/(30*x-15)))","A"
9273,1,15,14,0.023000," ","int(-2/exp(exp(3)-exp(1/2)+x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$2 \,{\mathrm e}^{-{\mathrm e}^{3}+{\mathrm e}^{\frac{1}{2}}-x +4}$&$15$\\ derivativedivides&$2 \,{\mathrm e}^{-{\mathrm e}^{3}+{\mathrm e}^{\frac{1}{2}}-x +4}$&$15$\\ default&$2 \,{\mathrm e}^{-{\mathrm e}^{3}+{\mathrm e}^{\frac{1}{2}}-x +4}$&$15$\\ norman&$2 \,{\mathrm e}^{-{\mathrm e}^{3}+{\mathrm e}^{\frac{1}{2}}-x +4}$&$15$\\ risch&$2 \,{\mathrm e}^{-{\mathrm e}^{3}+{\mathrm e}^{\frac{1}{2}}-x +4}$&$15$\\ \hline \end{longtable}"," ",0,"2/exp(exp(3)-exp(1/2)+x-4)","A"
9274,1,20,18,0.077000," ","int(((-x^2+8)*exp(4)*exp(4/x^2)+4*x^3*exp(4))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$2 x^{2} {\mathrm e}^{4}-x \,{\mathrm e}^{4} {\mathrm e}^{\frac{4}{x^{2}}}$&$20$\\ default&$2 x^{2} {\mathrm e}^{4}-x \,{\mathrm e}^{4} {\mathrm e}^{\frac{4}{x^{2}}}$&$20$\\ risch&$2 x^{2} {\mathrm e}^{4}-x \,{\mathrm e}^{\frac{4 x^{2}+4}{x^{2}}}$&$23$\\ norman&$\frac{2 x^{3} {\mathrm e}^{4}-x^{2} {\mathrm e}^{4} {\mathrm e}^{\frac{4}{x^{2}}}}{x}$&$26$\\ \hline \end{longtable}"," ",0,"2*x^2*exp(4)-exp(4)*exp(1/x^2)^4*x","A"
9275,1,31,25,0.122000," ","int(((4*x+2)*exp(1)*exp(x)^2+(4*x^2+8*x)*exp(1)*exp(x)+6*x^2*exp(1)-4*x-1)/(2*x*exp(1)*exp(x)^2+4*x^2*exp(1)*exp(x)+2*x^3*exp(1)-2*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left({\mathrm e}^{2 x}+2 \,{\mathrm e}^{x} x +\frac{\left(2 x^{2} {\mathrm e}-2 x -1\right) {\mathrm e}^{-1}}{2}\right)$&$31$\\ norman&$\ln \left(x \right)+\ln \left(2 \,{\mathrm e} \,{\mathrm e}^{2 x}+4 x \,{\mathrm e} \,{\mathrm e}^{x}+2 x^{2} {\mathrm e}-2 x -1\right)$&$32$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(exp(2*x)+2*exp(x)*x+1/2*(2*x^2*exp(1)-2*x-1)*exp(-1))","A"
9276,1,13,15,0.020000," ","int((3-x-exp(x))/(1+exp(x)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -2 \ln \left(x -{\mathrm e}^{x}-1\right)$&$13$\\ risch&$x -2 \ln \left(1+{\mathrm e}^{x}-x \right)$&$13$\\ \hline \end{longtable}"," ",0,"x-2*ln(x-exp(x)-1)","A"
9277,1,20,19,0.067000," ","int((((324*x+324)*exp(exp(4*x))+324*x+324)*ln(exp(exp(4*x))+1)+(x*exp(x)*ln(x)^2+(-1296*x*exp(4*x)+2*exp(x)*x^2)*ln(x)-1296*x^2*exp(4*x)+exp(x)*x^3)*exp(exp(4*x))+x*exp(x)*ln(x)^2+2*x^2*exp(x)*ln(x)+exp(x)*x^3)/((x*ln(x)^2+2*x^2*ln(x)+x^3)*exp(exp(4*x))+x*ln(x)^2+2*x^2*ln(x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x}-\frac{324 \ln \left({\mathrm e}^{{\mathrm e}^{4 x}}+1\right)}{x +\ln \left(x \right)}$&$20$\\ \hline \end{longtable}"," ",0,"exp(x)-324*ln(exp(exp(4*x))+1)/(x+ln(x))","A"
9278,1,9,15,0.012000," ","int((2*x+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +2 \ln \left(x \right)$&$9$\\ norman&$2 x +2 \ln \left(x \right)$&$9$\\ risch&$2 x +2 \ln \left(x \right)$&$9$\\ \hline \end{longtable}"," ",0,"2*x+2*ln(x)","A"
9279,1,57,19,0.107000," ","int((32*x^3*exp(3)*exp(x)^2+((-24*x^2+24*x)*exp(1)+8*x^4+32*x^3)*exp(3)*exp(x)+(-18*exp(1)^2+18*x*exp(1)+2*x^4+6*x^3)*exp(3))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{3}+6 x \,{\mathrm e}^{3}+\frac{9 \,{\mathrm e}^{5}-18 x \,{\mathrm e}^{4}}{x^{2}}+16 \,{\mathrm e}^{2 x +3}-\frac{8 \left(-x^{2}+3 \,{\mathrm e}-3 x \right) {\mathrm e}^{3+x}}{x}$&$57$\\ norman&$\frac{x^{4} {\mathrm e}^{3}+6 x^{3} {\mathrm e}^{3}+9 \,{\mathrm e}^{2} {\mathrm e}^{3}-18 x \,{\mathrm e} \,{\mathrm e}^{3}+24 x^{2} {\mathrm e}^{3} {\mathrm e}^{x}+16 x^{2} {\mathrm e}^{3} {\mathrm e}^{2 x}+8 \,{\mathrm e}^{x} {\mathrm e}^{3} x^{3}-24 \,{\mathrm e}^{x} {\mathrm e}^{3} x \,{\mathrm e}}{x^{2}}$&$72$\\ default&$x^{2} {\mathrm e}^{3}+16 \,{\mathrm e}^{3} {\mathrm e}^{2 x}+32 \,{\mathrm e}^{x} {\mathrm e}^{3}+\frac{9 \,{\mathrm e}^{2} {\mathrm e}^{3}}{x^{2}}-\frac{18 \,{\mathrm e} \,{\mathrm e}^{3}}{x}+8 \,{\mathrm e}^{3} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+24 \,{\mathrm e} \,{\mathrm e}^{3} \left(-\frac{{\mathrm e}^{x}}{x}-\expIntegralEi \left(1, -x \right)\right)+24 \,{\mathrm e} \,{\mathrm e}^{3} \expIntegralEi \left(1, -x \right)+6 x \,{\mathrm e}^{3}$&$92$\\ \hline \end{longtable}"," ",0,"x^2*exp(3)+6*x*exp(3)+(9*exp(5)-18*x*exp(4))/x^2+16*exp(2*x+3)-8/x*(-x^2+3*exp(1)-3*x)*exp(3+x)","B"
9280,1,14,14,0.041000," ","int((20*exp(1/x)-exp(2))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$-20 \,{\mathrm e}^{\frac{1}{x}}+\frac{{\mathrm e}^{2}}{x}$&$14$\\ default&$-20 \,{\mathrm e}^{\frac{1}{x}}+\frac{{\mathrm e}^{2}}{x}$&$14$\\ risch&$-20 \,{\mathrm e}^{\frac{1}{x}}+\frac{{\mathrm e}^{2}}{x}$&$14$\\ norman&$\frac{{\mathrm e}^{2}-20 x \,{\mathrm e}^{\frac{1}{x}}}{x}$&$15$\\ \hline \end{longtable}"," ",0,"-20*exp(1/x)+exp(2)/x","A"
9281,1,50,22,0.526000," ","int(((4*x^3*ln(3)-4*x^3*exp(3)-4*x^4)*ln(ln(3)-exp(3)-x)^2+((-36*x^2-52*x)*ln(3)+(36*x^2+52*x)*exp(3)-2*x^4+36*x^3+52*x^2)*ln(ln(3)-exp(3)-x)+(72*x+156)*ln(3)+(-72*x-156)*exp(3)+12*x^3-46*x^2-156*x)/(ln(3)-exp(3)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(3\right)-{\mathrm e}^{3}-x \right)^{2} x^{4}+\left(-12 x^{3}-26 x^{2}\right) \ln \left(\ln \left(3\right)-{\mathrm e}^{3}-x \right)+36 x^{2}+156 x$&$50$\\ norman&$\ln \left(\ln \left(3\right)-{\mathrm e}^{3}-x \right)^{2} x^{4}+156 x +36 x^{2}-12 x^{3} \ln \left(\ln \left(3\right)-{\mathrm e}^{3}-x \right)-26 \ln \left(\ln \left(3\right)-{\mathrm e}^{3}-x \right) x^{2}$&$59$\\ derivativedivides&$\text{Expression too large to display}$&$1698$\\ default&$\text{Expression too large to display}$&$1698$\\ \hline \end{longtable}"," ",0,"ln(ln(3)-exp(3)-x)^2*x^4+(-12*x^3-26*x^2)*ln(ln(3)-exp(3)-x)+36*x^2+156*x","B"
9282,1,24,17,0.514000," ","int(((-12*x-20)*ln(3*x+5)^2-48)*exp((-x*ln(3*x+5)+4)/ln(3*x+5))/(3*x+5)/ln(3*x+5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 \,{\mathrm e}^{\frac{-x \ln \left(3 x +5\right)+4}{\ln \left(3 x +5\right)}}$&$24$\\ risch&$4 \,{\mathrm e}^{-\frac{x \ln \left(3 x +5\right)-4}{\ln \left(3 x +5\right)}}$&$24$\\ \hline \end{longtable}"," ",0,"4*exp((-x*ln(3*x+5)+4)/ln(3*x+5))","A"
9283,1,52,35,0.055000," ","int(((324*ln(x)-162)*exp(ln(x)^2)^2+((108*exp(x)+108*x+972)*ln(x)+(54*x-108)*exp(x)-54*x-972)*exp(ln(x)^2)+(18*x-18)*exp(x)^2+(18*x^2+144*x-324)*exp(x)-162*x-1458)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{18 \,{\mathrm e}^{x} x +9 \,{\mathrm e}^{2 x}+162 x +162 \,{\mathrm e}^{x}+729}{x^{2}}+\frac{81 \,{\mathrm e}^{2 \ln \left(x \right)^{2}}}{x^{2}}+\frac{54 \left(x +{\mathrm e}^{x}+9\right) {\mathrm e}^{\ln \left(x \right)^{2}}}{x^{2}}$&$52$\\ \hline \end{longtable}"," ",0,"9*(2*exp(x)*x+exp(2*x)+18*x+18*exp(x)+81)/x^2+81/x^2*exp(2*ln(x)^2)+54*(x+exp(x)+9)/x^2*exp(ln(x)^2)","A"
9284,1,29,40,0.085000," ","int(1/12*(-9*exp((x^3+2)/x^3)^2-9*exp((x^3+2)/x^3)-10*x^2)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{5}{6 x}+\frac{{\mathrm e}^{\frac{2}{x^{3}}} {\mathrm e}}{8}+\frac{{\mathrm e}^{\frac{4}{x^{3}}} {\mathrm e}^{2}}{16}$&$29$\\ default&$\frac{5}{6 x}+\frac{{\mathrm e}^{\frac{2}{x^{3}}} {\mathrm e}}{8}+\frac{{\mathrm e}^{\frac{4}{x^{3}}} {\mathrm e}^{2}}{16}$&$29$\\ risch&$\frac{5}{6 x}+\frac{{\mathrm e}^{\frac{2 x^{3}+4}{x^{3}}}}{16}+\frac{{\mathrm e}^{\frac{x^{3}+2}{x^{3}}}}{8}$&$32$\\ norman&$\frac{\frac{5 x^{2}}{6}+\frac{{\mathrm e}^{\frac{x^{3}+2}{x^{3}}} x^{3}}{8}+\frac{{\mathrm e}^{\frac{2 x^{3}+4}{x^{3}}} x^{3}}{16}}{x^{3}}$&$43$\\ \hline \end{longtable}"," ",0,"5/6/x+1/8*exp(1/x^3)^2*exp(1)+1/16*exp(1/x^3)^4*exp(1)^2","A"
9285,1,25,19,0.028000," ","int(((5*x^2+10*x+1)*exp(x)^3+20*x*exp(x)^2-150*x^2+150*x)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$10 x^{2}+75 x^{2} {\mathrm e}^{-2 x}+5 \,{\mathrm e}^{x} x^{2}+{\mathrm e}^{x}$&$25$\\ risch&$10 x^{2}+\left(5 x^{2}+1\right) {\mathrm e}^{x}+75 x^{2} {\mathrm e}^{-2 x}$&$26$\\ norman&$\left({\mathrm e}^{3 x}+75 x^{2}+5 x^{2} {\mathrm e}^{3 x}+10 \,{\mathrm e}^{2 x} x^{2}\right) {\mathrm e}^{-2 x}$&$34$\\ \hline \end{longtable}"," ",0,"10*x^2+75*x^2/exp(x)^2+5*exp(x)*x^2+exp(x)","A"
9286,1,28,21,0.088000," ","int(1/5*(-x*exp(x)^2+exp(x)+4*x^2-4*x)/ln(5)/exp(x)/exp((exp(x)^2-4*exp(x)+4*x)/exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \,{\mathrm e}^{-\left({\mathrm e}^{2 x}-4 \,{\mathrm e}^{x}+4 x \right) {\mathrm e}^{-x}}}{5 \ln \left(5\right)}$&$28$\\ risch&$\frac{x \,{\mathrm e}^{\left(-{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x}-4 x \right) {\mathrm e}^{-x}}}{5 \ln \left(5\right)}$&$28$\\ \hline \end{longtable}"," ",0,"1/5/ln(5)*x/exp((exp(x)^2-4*exp(x)+4*x)/exp(x))","A"
9287,1,25,14,0.157000," ","int((3*exp(4*x*ln(2))-4*ln(2))/((3*x-5)*exp(4*x*ln(2))+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(3 x -5\right)-4 x \ln \left(2\right)+\ln \left(16^{x}+\frac{1}{3 x -5}\right)$&$25$\\ norman&$-4 x \ln \left(2\right)+\ln \left(3 \,{\mathrm e}^{4 x \ln \left(2\right)} x -5 \,{\mathrm e}^{4 x \ln \left(2\right)}+1\right)$&$27$\\ \hline \end{longtable}"," ",0,"ln(3*x-5)-4*x*ln(2)+ln(16^x+1/(3*x-5))","A"
9288,1,19,22,0.080000," ","int(1/4*((-5*x*ln(x)-29*x-4)*exp(-5/4*x*ln(x)-6*x+5)*exp(exp(-5/4*x*ln(x)-6*x+5)/x)+4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{x^{-\frac{5 x}{4}} {\mathrm e}^{5-6 x}}{x}}$&$19$\\ \hline \end{longtable}"," ",0,"x+exp(x^(-5/4*x)*exp(5-6*x)/x)","A"
9289,1,23,22,0.158000," ","int(1/6*((-48*x-16)*exp(2*x^2+4/3*x)+3*exp(x)+3*exp(5))*exp(-exp(2*x^2+4/3*x)+1/4*exp(x)+1/4*x*exp(5))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-2 \,{\mathrm e}^{\frac{2 x \left(3 x +2\right)}{3}}+\frac{{\mathrm e}^{x}}{2}+\frac{x \,{\mathrm e}^{5}}{2}}$&$23$\\ norman&${\mathrm e}^{-2 \,{\mathrm e}^{2 x^{2}+\frac{4}{3} x}+\frac{{\mathrm e}^{x}}{2}+\frac{x \,{\mathrm e}^{5}}{2}}$&$26$\\ \hline \end{longtable}"," ",0,"exp(-2*exp(2/3*x*(3*x+2))+1/2*exp(x)+1/2*x*exp(5))","A"
9290,1,27,25,0.203000," ","int(1/3*((12*x-9)*exp(2*x)^2+21*x^2+94*x)*exp(1/3*(3*exp(2*x)^2-3*x^3-21*x^2-47*x)/x^3)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-3 \,{\mathrm e}^{4 x}+3 x^{3}+21 x^{2}+47 x}{3 x^{3}}}$&$27$\\ norman&${\mathrm e}^{\frac{3 \,{\mathrm e}^{4 x}-3 x^{3}-21 x^{2}-47 x}{3 x^{3}}}$&$29$\\ \hline \end{longtable}"," ",0,"exp(-1/3*(-3*exp(4*x)+3*x^3+21*x^2+47*x)/x^3)","A"
9291,1,17,18,0.045000," ","int((ln(x^3/(ln(21)+3))*ln(ln(x^3/(ln(21)+3)))-3)/ln(x^3/(ln(21)+3))/ln(ln(x^3/(ln(21)+3)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{\ln \left(\ln \left(\frac{x^{3}}{\ln \left(21\right)+3}\right)\right)}$&$17$\\ \hline \end{longtable}"," ",0,"x/ln(ln(x^3/(ln(21)+3)))","A"
9292,1,31,22,0.141000," ","int((-4*exp(-x+25)^2+(-4*x^2+8*x)*exp(-x+25)+8*x^3-6)/(exp(-x+25)^2+2*x^2*exp(-x+25)+x^4-3*x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left({\mathrm e}^{-2 x +50}+2 x^{2} {\mathrm e}^{-x +25}+x^{4}-3 x -3\right)$&$31$\\ risch&$-100+2 \ln \left({\mathrm e}^{-2 x +50}+2 x^{2} {\mathrm e}^{-x +25}+x^{4}-3 x -3\right)$&$31$\\ \hline \end{longtable}"," ",0,"2*ln(exp(-x+25)^2+2*x^2*exp(-x+25)+x^4-3*x-3)","A"
9293,1,42,23,0.230000," ","int(1/2*((2*(-x^3+2*x-6)*ln(5)+6-2*x)*exp(1/2*(2*ln(5)-1)/x^2/ln(5))+2*(4*x^4-6*x^3)*ln(5))/x^3/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2}-6 x +\frac{\left(-2 x \ln \left(5\right)+6 \ln \left(5\right)\right) {\mathrm e}^{\frac{2 \ln \left(5\right)-1}{2 x^{2} \ln \left(5\right)}}}{2 \ln \left(5\right)}$&$42$\\ norman&$\frac{-6 x^{3}+2 x^{4}+3 x^{2} {\mathrm e}^{\frac{2 \ln \left(5\right)-1}{2 x^{2} \ln \left(5\right)}}-x^{3} {\mathrm e}^{\frac{2 \ln \left(5\right)-1}{2 x^{2} \ln \left(5\right)}}}{x^{2}}$&$58$\\ derivativedivides&$-\frac{-4 x^{2} \ln \left(5\right)+12 x \ln \left(5\right)+\frac{3 \,{\mathrm e}^{\frac{1-\frac{1}{2 \ln \left(5\right)}}{x^{2}}}}{1-\frac{1}{2 \ln \left(5\right)}}-\frac{6 \ln \left(5\right) {\mathrm e}^{\frac{1-\frac{1}{2 \ln \left(5\right)}}{x^{2}}}}{1-\frac{1}{2 \ln \left(5\right)}}+2 \ln \left(5\right) x \,{\mathrm e}^{\frac{1-\frac{1}{2 \ln \left(5\right)}}{x^{2}}}}{2 \ln \left(5\right)}$&$90$\\ default&$\frac{4 x^{2} \ln \left(5\right)-12 x \ln \left(5\right)-\frac{3 \,{\mathrm e}^{\frac{1-\frac{1}{2 \ln \left(5\right)}}{x^{2}}}}{1-\frac{1}{2 \ln \left(5\right)}}+\frac{6 \ln \left(5\right) {\mathrm e}^{\frac{1-\frac{1}{2 \ln \left(5\right)}}{x^{2}}}}{1-\frac{1}{2 \ln \left(5\right)}}-2 \ln \left(5\right) x \,{\mathrm e}^{\frac{1-\frac{1}{2 \ln \left(5\right)}}{x^{2}}}}{2 \ln \left(5\right)}$&$90$\\ \hline \end{longtable}"," ",0,"2*x^2-6*x+1/2/ln(5)*(-2*x*ln(5)+6*ln(5))*exp(1/2*(2*ln(5)-1)/x^2/ln(5))","A"
9294,1,22,23,0.075000," ","int(1/32*((-5*x+5)*exp(x)*exp(1/16*exp(x)/x)^2-160*ln(x)-128*x^2+160)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x -\frac{5 \,{\mathrm e}^{\frac{{\mathrm e}^{x}}{8 x}}}{4}+\frac{5 \ln \left(x \right)}{x}$&$22$\\ default&$-4 x -\frac{5 \,{\mathrm e}^{\frac{{\mathrm e}^{x}}{8 x}}}{4}+\frac{5 \ln \left(x \right)}{x}$&$24$\\ \hline \end{longtable}"," ",0,"-4*x-5/4*exp(1/8*exp(x)/x)+5*ln(x)/x","A"
9295,1,19,21,0.305000," ","int((x*ln(exp(-x)/x^3)+(3+x)*exp(1)+x^2+x-6)/(x*exp(1)^2+(2*x^2-4*x)*exp(1)+x^3-4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(\frac{{\mathrm e}^{-x}}{x^{3}}\right)}{{\mathrm e}-2+x}$&$19$\\ risch&$-\frac{\ln \left({\mathrm e}^{-x}\right)}{{\mathrm e}-2+x}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{3}}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{x^{3}}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x^{3}}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{x^{3}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}-i \pi  \mathrm{csgn}\left(i x^{3}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{x^{3}}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{x^{3}}\right)^{3}+6 \ln \left(x \right)}{2 \,{\mathrm e}-4+2 x}$&$249$\\ default&$-\frac{{\mathrm e}}{{\mathrm e}-2+x}+\frac{2}{{\mathrm e}-2+x}-\frac{\ln \left(\frac{{\mathrm e}^{-x}}{x^{3}}\right)+x +3 \ln \left(x \right)}{{\mathrm e}-2+x}-\ln \left({\mathrm e}-2+x \right)+\frac{3 \ln \left(x \right) \left(-\ln \left(\frac{{\mathrm e}-2-\sqrt{\left({\mathrm e}\right)^{2}-{\mathrm e}^{2}}+x}{{\mathrm e}-2-\sqrt{\left({\mathrm e}\right)^{2}-{\mathrm e}^{2}}}\right)+\ln \left(\frac{{\mathrm e}-2+\sqrt{\left({\mathrm e}\right)^{2}-{\mathrm e}^{2}}+x}{{\mathrm e}-2+\sqrt{\left({\mathrm e}\right)^{2}-{\mathrm e}^{2}}}\right)\right)}{2 \sqrt{\left({\mathrm e}\right)^{2}-{\mathrm e}^{2}}}-\frac{3 \dilog \left(\frac{{\mathrm e}-2-\sqrt{\left({\mathrm e}\right)^{2}-{\mathrm e}^{2}}+x}{{\mathrm e}-2-\sqrt{\left({\mathrm e}\right)^{2}-{\mathrm e}^{2}}}\right)}{2 \sqrt{\left({\mathrm e}\right)^{2}-{\mathrm e}^{2}}}+\frac{3 \dilog \left(\frac{{\mathrm e}-2+\sqrt{\left({\mathrm e}\right)^{2}-{\mathrm e}^{2}}+x}{{\mathrm e}-2+\sqrt{\left({\mathrm e}\right)^{2}-{\mathrm e}^{2}}}\right)}{2 \sqrt{\left({\mathrm e}\right)^{2}-{\mathrm e}^{2}}}+\frac{3 \ln \left(x \right)}{{\mathrm e}-2}-\frac{5 \ln \left({\mathrm e}-2+x \right)}{{\mathrm e}-2}+\frac{\ln \left({\mathrm e}-2+x \right) {\mathrm e}}{{\mathrm e}-2}$&$285$\\ \hline \end{longtable}"," ",0,"-ln(exp(-x)/x^3)/(exp(1)-2+x)","A"
9296,1,20,15,0.021000," ","int(1/5*(-5*ln(x)^2-190*ln(x)-6*x-520)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{144+\ln \left(x \right)^{2}-\frac{6 x \ln \left(x \right)}{5}+40 \ln \left(x \right)}{x}$&$20$\\ default&$\frac{\ln \left(x \right)^{2}}{x}+\frac{40 \ln \left(x \right)}{x}+\frac{144}{x}-\frac{6 \ln \left(x \right)}{5}$&$26$\\ risch&$\frac{\ln \left(x \right)^{2}}{x}+\frac{40 \ln \left(x \right)}{x}-\frac{6 \left(x \ln \left(x \right)-120\right)}{5 x}$&$28$\\ \hline \end{longtable}"," ",0,"(144+ln(x)^2-6/5*x*ln(x)+40*ln(x))/x","A"
9297,1,17,16,0.041000," ","int(8/((27*x^2-2*x)*ln((-27*x+2)/x)*ln(ln((-27*x+2)/x))+(-108*x^2+8*x)*ln((-27*x+2)/x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 \ln \left(\ln \left(\ln \left(\frac{-27 x +2}{x}\right)\right)-4\right)$&$17$\\ \hline \end{longtable}"," ",0,"4*ln(ln(ln((-27*x+2)/x))-4)","A"
9298,0,0,19,0.014000," ","int((-2*ln(30*x)*ln(-x*ln(30*x))+(4*x^3+2)*ln(30*x)+2)/(x*ln(30*x)*ln(-x*ln(30*x))+x^4*ln(30*x)),x)","\[\int \frac{-2 \ln \left(30 x \right) \ln \left(-x \ln \left(30 x \right)\right)+\left(4 x^{3}+2\right) \ln \left(30 x \right)+2}{x \ln \left(30 x \right) \ln \left(-x \ln \left(30 x \right)\right)+x^{4} \ln \left(30 x \right)}\, dx\]"," ",0,"int((-2*ln(30*x)*ln(-x*ln(30*x))+(4*x^3+2)*ln(30*x)+2)/(x*ln(30*x)*ln(-x*ln(30*x))+x^4*ln(30*x)),x)","F"
9299,1,48,21,0.073000," ","int(((-5*x^4-48*x^3+40*x^2-80*x)*ln(1/5*(5*x^3+48*x^2-40*x+80)/x^2)-5*x^4+15*x^3-40*x^2+280*x-480)/(5*x^4+48*x^3-40*x^2+80*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\frac{5 x^{3}+48 x^{2}-40 x +80}{5 x^{2}}\right) x -6 \ln \left(x \right)+3 \ln \left(5 x^{3}+48 x^{2}-40 x +80\right)$&$48$\\ norman&$3 \ln \left(\frac{5 x^{3}+48 x^{2}-40 x +80}{5 x^{2}}\right)-\ln \left(\frac{5 x^{3}+48 x^{2}-40 x +80}{5 x^{2}}\right) x$&$49$\\ default&$-6 \ln \left(x \right)-\left(\munderset{\textit{\_R} =\RootOf \left(5 \textit{\_Z}^{3}+48 \textit{\_Z}^{2}-40 \textit{\_Z} +80\right)}{\sum}\frac{\left(-93 \textit{\_R}^{2}-208 \textit{\_R} -120\right) \ln \left(x -\textit{\_R} \right)}{15 \textit{\_R}^{2}+96 \textit{\_R} -40}\right)-x \ln \left(\frac{5 x^{3}+48 x^{2}-40 x +80}{x^{2}}\right)+16 \left(\munderset{\textit{\_R} =\RootOf \left(5 \textit{\_Z}^{3}+48 \textit{\_Z}^{2}-40 \textit{\_Z} +80\right)}{\sum}\frac{\left(-3 \textit{\_R}^{2}+5 \textit{\_R} -15\right) \ln \left(x -\textit{\_R} \right)}{15 \textit{\_R}^{2}+96 \textit{\_R} -40}\right)+x \ln \left(5\right)$&$133$\\ \hline \end{longtable}"," ",0,"-ln(1/5*(5*x^3+48*x^2-40*x+80)/x^2)*x-6*ln(x)+3*ln(5*x^3+48*x^2-40*x+80)","B"
9300,1,30,32,0.245000," ","int(((10*x^2-10)*exp(2/x)+(20*x^2-20)*ln(15)-10*x^3)*exp((-x*exp(2/x)-4*ln(15)+x)/x)/(x^6-2*x^4+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 \,{\mathrm e}^{\frac{-x \,{\mathrm e}^{\frac{2}{x}}-4 \ln \left(15\right)+x}{x}}}{x^{2}-1}$&$30$\\ risch&$\frac{5 \left(\frac{1}{625}\right)^{\frac{1}{x}} \left(\frac{1}{81}\right)^{\frac{1}{x}} {\mathrm e}^{-{\mathrm e}^{\frac{2}{x}}+1}}{x^{2}-1}$&$31$\\ \hline \end{longtable}"," ",0,"5*exp((-x*exp(2/x)-4*ln(15)+x)/x)/(x^2-1)","A"
9301,1,25,25,0.039000," ","int(1/3*((-8*x*exp(4/3*x+4/3)^2-6*x^2+24*x)*ln(x)^2-3*exp(1))/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+8 x -{\mathrm e}^{\frac{8 x}{3}+\frac{8}{3}}+\frac{{\mathrm e}}{\ln \left(x \right)}$&$25$\\ default&$-x^{2}+8 x -{\mathrm e}^{\frac{8 x}{3}+\frac{8}{3}}+\frac{{\mathrm e}}{\ln \left(x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"-x^2+8*x-exp(8/3*x+8/3)+exp(1)/ln(x)","A"
9302,1,22,18,0.540000," ","int(-2*exp(1)/(x*exp(1)-x^2)/ln(-54*x^2/(exp(1)^2-2*x*exp(1)+x^2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{\ln \left(-\frac{54 x^{2}}{{\mathrm e}^{2}-2 x \,{\mathrm e}+x^{2}}\right)}$&$22$\\ norman&$\frac{1}{\ln \left(-\frac{54 x^{2}}{{\mathrm e}^{2}-2 x \,{\mathrm e}+x^{2}}\right)}$&$24$\\ \hline \end{longtable}"," ",0,"1/ln(-54*x^2/(exp(2)-2*x*exp(1)+x^2))","A"
9303,1,26,30,0.058000," ","int((((12*x^3+12*x^2+8*x)*exp(2*x)^2+3*x^2+3*x+2)*ln(3*x^2+3*x+2)+(3*x^3+3*x^2+2*x)*ln(x)^2+((6*x^3+6*x^2+4*x)*exp(2*x)^2-24*x^3-30*x^2-19*x)*ln(x)+(3*x^3+3*x^2+2*x)*exp(2*x)^4+(-24*x^3-30*x^2-19*x)*exp(2*x)^2+48*x^3+72*x^2+44*x)/((3*x^3+3*x^2+2*x)*ln(x)^2+((6*x^3+6*x^2+4*x)*exp(2*x)^2-24*x^3-24*x^2-16*x)*ln(x)+(3*x^3+3*x^2+2*x)*exp(2*x)^4+(-24*x^3-24*x^2-16*x)*exp(2*x)^2+48*x^3+48*x^2+32*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(3 x^{2}+3 x +2\right)}{{\mathrm e}^{4 x}+\ln \left(x \right)-4}+x$&$26$\\ \hline \end{longtable}"," ",0,"-1/(exp(4*x)+ln(x)-4)*ln(3*x^2+3*x+2)+x","A"
9304,1,12,26,0.018000," ","int((x*ln(x^4)-4*x+8)/(x*ln(x^4)-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +2 \ln \left(-4+\ln \left(x^{4}\right)\right)$&$12$\\ risch&$x +2 \ln \left(-4+\ln \left(x^{4}\right)\right)$&$12$\\ \hline \end{longtable}"," ",0,"x+2*ln(-4+ln(x^4))","A"
9305,1,13,15,0.531000," ","int((-x^2+x+1)/(x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\ln \left(x \right)+\ln \left(x -1\right)$&$13$\\ norman&$-x -\ln \left(x \right)+\ln \left(x -1\right)$&$13$\\ risch&$-x -\ln \left(x \right)+\ln \left(x -1\right)$&$13$\\ meijerg&$-\ln \left(x \right)-i \pi -x +\ln \left(1-x \right)$&$19$\\ \hline \end{longtable}"," ",0,"-x-ln(x)+ln(x-1)","A"
9306,1,29,28,0.143000," ","int((8*x^3*exp(3)^4+2)*exp(x)^2*exp(1/5*ln(2)+x^4*exp(3)^4)^2+(5+2*x)*exp(x)^2-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2^{\frac{2}{5}} {\mathrm e}^{2 x \left({\mathrm e}^{12} x^{3}+1\right)}+{\mathrm e}^{2 x} \left(2+x \right)-x$&$29$\\ \hline \end{longtable}"," ",0,"2^(2/5)*exp(2*x*(exp(12)*x^3+1))+exp(2*x)*(2+x)-x","A"
9307,1,25,28,0.049000," ","int((60*x^2*exp(5*x^2)^2*ln(x)+3*exp(5*x^2)^2+18*x^3+12*x^2-30*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-30 x +3 \ln \left(x \right) {\mathrm e}^{10 x^{2}}+6 x^{2}+6 x^{3}$&$25$\\ default&$-30 x +3 \ln \left(x \right) {\mathrm e}^{10 x^{2}}+6 x^{2}+6 x^{3}$&$27$\\ \hline \end{longtable}"," ",0,"-30*x+3*ln(x)*exp(10*x^2)+6*x^2+6*x^3","A"
9308,1,19,21,0.071000," ","int((-2*x^2+x-1)*exp(2*ln(2)-exp(1)-x^2+x+1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{1-{\mathrm e}-x^{2}+x}}{x}$&$19$\\ gosper&$\frac{{\mathrm e}^{2 \ln \left(2\right)-{\mathrm e}-x^{2}+x +1}}{x}$&$22$\\ norman&$\frac{{\mathrm e}^{2 \ln \left(2\right)-{\mathrm e}-x^{2}+x +1}}{x}$&$22$\\ \hline \end{longtable}"," ",0,"4*exp(1-exp(1)-x^2+x)/x","A"
9309,1,385,20,0.296000," ","int(((8*exp(x)^3+12*exp(x)^2+6*exp(x)+1)*ln(x)+8*exp(x)^3+12*exp(x)^2+(-4*x+8)*exp(x)+2)/((8*x*exp(x)^3+12*x*exp(x)^2+6*exp(x)*x+x)*ln(x)+32*exp(x)^3+48*exp(x)^2+(2*x+24)*exp(x)+4+x)/ln(((4*x*exp(x)^2+4*exp(x)*x+x)*ln(x)+16*exp(x)^2+16*exp(x)+4+x)/(4*exp(x)^2+4*exp(x)+1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\left(\ln \left(x \right) {\mathrm e}^{2 x}+{\mathrm e}^{x} \ln \left(x \right)+\frac{\ln \left(x \right)}{4}+\frac{1}{4}\right) x +4 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x}+1\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{\left(\frac{1}{2}+{\mathrm e}^{x}\right)^{2}}\right) \mathrm{csgn}\left(i \left(\left(\ln \left(x \right) {\mathrm e}^{2 x}+{\mathrm e}^{x} \ln \left(x \right)+\frac{\ln \left(x \right)}{4}+\frac{1}{4}\right) x +4 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right) {\mathrm e}^{2 x}+{\mathrm e}^{x} \ln \left(x \right)+\frac{\ln \left(x \right)}{4}+\frac{1}{4}\right) x +4 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x}+1\right)}{\left(\frac{1}{2}+{\mathrm e}^{x}\right)^{2}}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{\left(\frac{1}{2}+{\mathrm e}^{x}\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right) {\mathrm e}^{2 x}+{\mathrm e}^{x} \ln \left(x \right)+\frac{\ln \left(x \right)}{4}+\frac{1}{4}\right) x +4 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x}+1\right)}{\left(\frac{1}{2}+{\mathrm e}^{x}\right)^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(\frac{1}{2}+{\mathrm e}^{x}\right)\right)^{2} \mathrm{csgn}\left(i \left(\frac{1}{2}+{\mathrm e}^{x}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(\frac{1}{2}+{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(i \left(\frac{1}{2}+{\mathrm e}^{x}\right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(\frac{1}{2}+{\mathrm e}^{x}\right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i \left(\left(\ln \left(x \right) {\mathrm e}^{2 x}+{\mathrm e}^{x} \ln \left(x \right)+\frac{\ln \left(x \right)}{4}+\frac{1}{4}\right) x +4 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right) {\mathrm e}^{2 x}+{\mathrm e}^{x} \ln \left(x \right)+\frac{\ln \left(x \right)}{4}+\frac{1}{4}\right) x +4 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x}+1\right)}{\left(\frac{1}{2}+{\mathrm e}^{x}\right)^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right) {\mathrm e}^{2 x}+{\mathrm e}^{x} \ln \left(x \right)+\frac{\ln \left(x \right)}{4}+\frac{1}{4}\right) x +4 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x}+1\right)}{\left(\frac{1}{2}+{\mathrm e}^{x}\right)^{2}}\right)^{3}-4 i \ln \left(\frac{1}{2}+{\mathrm e}^{x}\right)\right)}{2}\right)$&$385$\\ \hline \end{longtable}"," ",0,"ln(ln((ln(x)*exp(2*x)+exp(x)*ln(x)+1/4*ln(x)+1/4)*x+4*exp(2*x)+4*exp(x)+1)-1/2*I*(Pi*csgn(I/(1/2+exp(x))^2)*csgn(I*((ln(x)*exp(2*x)+exp(x)*ln(x)+1/4*ln(x)+1/4)*x+4*exp(2*x)+4*exp(x)+1))*csgn(I/(1/2+exp(x))^2*((ln(x)*exp(2*x)+exp(x)*ln(x)+1/4*ln(x)+1/4)*x+4*exp(2*x)+4*exp(x)+1))-Pi*csgn(I/(1/2+exp(x))^2)*csgn(I/(1/2+exp(x))^2*((ln(x)*exp(2*x)+exp(x)*ln(x)+1/4*ln(x)+1/4)*x+4*exp(2*x)+4*exp(x)+1))^2-Pi*csgn(I*(1/2+exp(x)))^2*csgn(I*(1/2+exp(x))^2)+2*Pi*csgn(I*(1/2+exp(x)))*csgn(I*(1/2+exp(x))^2)^2-Pi*csgn(I*(1/2+exp(x))^2)^3-Pi*csgn(I*((ln(x)*exp(2*x)+exp(x)*ln(x)+1/4*ln(x)+1/4)*x+4*exp(2*x)+4*exp(x)+1))*csgn(I/(1/2+exp(x))^2*((ln(x)*exp(2*x)+exp(x)*ln(x)+1/4*ln(x)+1/4)*x+4*exp(2*x)+4*exp(x)+1))^2+Pi*csgn(I/(1/2+exp(x))^2*((ln(x)*exp(2*x)+exp(x)*ln(x)+1/4*ln(x)+1/4)*x+4*exp(2*x)+4*exp(x)+1))^3-4*I*ln(1/2+exp(x))))","C"
9310,1,95,30,0.682000," ","int(((((-6*x^3+4*x^2+8*x)*exp(1)-6*x^2+4*x+8)*ln(x)+(2*x^3-2*x^2-8*x)*exp(1)+2*x^2-2*x-8)*ln((x^2*exp(1)+x)/exp(1))*ln(ln((x^2*exp(1)+x)/exp(1)))+((8*x^2-4*x)*exp(1)+8*x-4)*ln(x)^2*ln((x^2*exp(1)+x)/exp(1))+((-4*x^3+4*x^2+16*x)*exp(1)-2*x^2+2*x+8)*ln(x))/(x*exp(1)+1)/ln(x)^2/ln((x^2*exp(1)+x)/exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x \left(x^{2}-x -4\right) \ln \left(-1+\ln \left(x \right)+\ln \left(x \,{\mathrm e}+1\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(x \,{\mathrm e}+1\right)\right) \left(-\mathrm{csgn}\left(i x \left(x \,{\mathrm e}+1\right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(x \,{\mathrm e}+1\right)\right)+\mathrm{csgn}\left(i \left(x \,{\mathrm e}+1\right)\right)\right)}{2}\right)}{\ln \left(x \right)}+4 x^{2}-4 x$&$95$\\ \hline \end{longtable}"," ",0,"-2*x*(x^2-x-4)/ln(x)*ln(-1+ln(x)+ln(x*exp(1)+1)-1/2*I*Pi*csgn(I*x*(x*exp(1)+1))*(-csgn(I*x*(x*exp(1)+1))+csgn(I*x))*(-csgn(I*x*(x*exp(1)+1))+csgn(I*(x*exp(1)+1))))+4*x^2-4*x","C"
9311,1,32,27,0.076000," ","int((-exp(x-ln(x)-1)^4+4*x*exp(x-ln(x)-1)^3+(26*x^2-30*x)*exp(x-ln(x)-1)^2+(-28*x^3-4*x^2)*exp(x-ln(x)-1)-x^4+34*x^3-17*x^2)/(x^2*exp(x-ln(x)-1)^4-4*x^3*exp(x-ln(x)-1)^3+(6*x^4-2*x^3)*exp(x-ln(x)-1)^2+(-4*x^5+4*x^4)*exp(x-ln(x)-1)+x^6-2*x^5+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x}-\frac{16}{\frac{{\mathrm e}^{2 x -2}}{x^{2}}-2 \,{\mathrm e}^{x -1}+x^{2}-x}$&$32$\\ \hline \end{longtable}"," ",0,"1/x-16/(1/x^2*exp(2*x-2)-2*exp(x-1)+x^2-x)","A"
9312,1,11,9,0.031000," ","int((x-1)*exp(x)/(exp(x)*x+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)+\ln \left({\mathrm e}^{x}+x \right)$&$11$\\ risch&$-\ln \left(x \right)+\ln \left({\mathrm e}^{x}+x \right)$&$11$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(exp(x)+x)","A"
9313,1,20,20,0.036000," ","int((-x^7+4*x^6+3*x^3-16*x-32)/(x^7-3*x^3+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -2 \ln \left(x \right)+\ln \left(x^{6}-3 x^{2}+16\right)$&$20$\\ norman&$-x -2 \ln \left(x \right)+\ln \left(x^{6}-3 x^{2}+16\right)$&$20$\\ risch&$-x -2 \ln \left(x \right)+\ln \left(x^{6}-3 x^{2}+16\right)$&$20$\\ \hline \end{longtable}"," ",0,"-x-2*ln(x)+ln(x^6-3*x^2+16)","A"
9314,1,935,28,0.296000," ","int(1/9*(18*x*ln(x)*ln(x^2)*ln(ln(x^2))^2+(36*x*ln(x)*ln(x^2)*ln(ln(x)/x)+((54*x^2+42*x)*ln(x)+18*x)*ln(x^2)+36*x*ln(x))*ln(ln(x^2))+18*x*ln(x)*ln(x^2)*ln(ln(x)/x)^2+(((54*x^2+42*x)*ln(x)+18*x)*ln(x^2)+36*x*ln(x))*ln(ln(x)/x)+((36*x^3+72*x^2+20*x)*ln(x)+18*x^2+30*x)*ln(x^2)+(36*x^2+60*x)*ln(x))/ln(x)/ln(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{10 x^{2} \ln \left(x \right)}{3}+\frac{10 x^{2} \ln \left(\ln \left(x \right)\right)}{3}+x^{2} \ln \left(x \right)^{2}+x^{4}+\frac{10 x^{3}}{3}+\frac{25 x^{2}}{9}-2 x^{3} \ln \left(x \right)+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{5}}{2}-i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}-\frac{5 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}}{3}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{4}}{4}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{5}}{2}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{4}}{4}+x^{2} \ln \left(\ln \left(x \right)\right)^{2}-2 x^{2} \ln \left(x \right) \ln \left(\ln \left(x \right)\right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2} \ln \left(\ln \left(x \right)\right)+i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2} \ln \left(\ln \left(x \right)\right)-i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)-\frac{5 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)}{3}-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2} \ln \left(x \right)-i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2} \ln \left(x \right)+2 x^{3} \ln \left(\ln \left(x \right)\right)+\frac{5 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}}{3}-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3} \ln \left(\ln \left(x \right)\right)-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}}{4}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}}{2}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}}{2}-\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{4}+i \pi  \,x^{3} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}+i \pi  \,x^{3} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3} \ln \left(x \right)+x^{2} \ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)^{2}+\frac{\left(18 x^{2} \ln \left(\ln \left(x \right)\right)-18 x^{2} \ln \left(x \right)-9 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)+9 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}+9 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}-9 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{3}+18 x^{3}+30 x^{2}\right) \ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)}{9}+\frac{5 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{2}}{3}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right)^{6}}{4}-i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right) \ln \left(\ln \left(x \right)\right)+i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(\frac{i \ln \left(x \right)}{x}\right) \ln \left(x \right)$&$935$\\ \hline \end{longtable}"," ",0,"-10/3*x^2*ln(x)+10/3*x^2*ln(ln(x))+x^2*ln(x)^2+x^4+10/3*x^3+25/9*x^2-2*x^3*ln(x)-1/4*Pi^2*x^2*csgn(I/x)^2*csgn(I/x*ln(x))^4+1/2*Pi^2*x^2*csgn(I/x)*csgn(I/x*ln(x))^5-1/4*Pi^2*x^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^4+1/2*Pi^2*x^2*csgn(I*ln(x))*csgn(I/x*ln(x))^5-I*Pi*x^3*csgn(I/x*ln(x))^3-5/3*I*Pi*x^2*csgn(I/x*ln(x))^3+x^2*ln(ln(x))^2-2*x^2*ln(x)*ln(ln(x))+I*Pi*x^2*csgn(I/x)*csgn(I/x*ln(x))^2*ln(ln(x))+I*Pi*x^2*csgn(I*ln(x))*csgn(I/x*ln(x))^2*ln(ln(x))-I*Pi*x^3*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))-5/3*I*Pi*x^2*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))-I*Pi*x^2*csgn(I/x)*csgn(I/x*ln(x))^2*ln(x)-I*Pi*x^2*csgn(I*ln(x))*csgn(I/x*ln(x))^2*ln(x)+2*x^3*ln(ln(x))+5/3*I*Pi*x^2*csgn(I/x)*csgn(I/x*ln(x))^2+5/3*I*Pi*x^2*csgn(I*ln(x))*csgn(I/x*ln(x))^2-I*Pi*x^2*csgn(I/x*ln(x))^3*ln(ln(x))-1/4*Pi^2*x^2*csgn(I/x)^2*csgn(I*ln(x))^2*csgn(I/x*ln(x))^2+1/2*Pi^2*x^2*csgn(I/x)^2*csgn(I*ln(x))*csgn(I/x*ln(x))^3+1/2*Pi^2*x^2*csgn(I/x)*csgn(I*ln(x))^2*csgn(I/x*ln(x))^3-Pi^2*x^2*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))^4+I*Pi*x^3*csgn(I/x)*csgn(I/x*ln(x))^2+I*Pi*x^3*csgn(I*ln(x))*csgn(I/x*ln(x))^2+I*Pi*x^2*csgn(I/x*ln(x))^3*ln(x)+x^2*ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)^2+1/9*(18*x^2*ln(ln(x))-18*x^2*ln(x)-9*I*Pi*x^2*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))+9*I*Pi*x^2*csgn(I/x)*csgn(I/x*ln(x))^2+9*I*Pi*x^2*csgn(I*ln(x))*csgn(I/x*ln(x))^2-9*I*Pi*x^2*csgn(I/x*ln(x))^3+18*x^3+30*x^2)*ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)-1/4*Pi^2*x^2*csgn(I/x*ln(x))^6-I*Pi*x^2*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))*ln(ln(x))+I*Pi*x^2*csgn(I/x)*csgn(I*ln(x))*csgn(I/x*ln(x))*ln(x)","C"
9315,1,223,31,0.254000," ","int(((-2*exp(x^2)^2+(-2*x^3+4*x^2+5*x+12)*exp(x^2)-2*x^2-17*x-18)*exp(((exp(x^2)-3-x)*ln(1/4*x^2)+5-exp(x^2))/(exp(x^2)-3-x))+x*exp(x^2)^2+(-2*x^2-6*x)*exp(x^2)+x^3+6*x^2+9*x)/(x*exp(x^2)^2+(-2*x^2-6*x)*exp(x^2)+x^3+6*x^2+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -{\mathrm e}^{-\frac{i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}+3 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+3 i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}-i {\mathrm e}^{x^{2}} \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-6 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i {\mathrm e}^{x^{2}} \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+2 i {\mathrm e}^{x^{2}} \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+4 \,{\mathrm e}^{x^{2}} \ln \left(x \right)-4 x \ln \left(x \right)-4 \ln \left(2\right) {\mathrm e}^{x^{2}}+4 x \ln \left(2\right)-12 \ln \left(x \right)+12 \ln \left(2\right)-2 \,{\mathrm e}^{x^{2}}+10}{2 \left(x +3-{\mathrm e}^{x^{2}}\right)}}$&$223$\\ \hline \end{longtable}"," ",0,"x-exp(-1/2*(I*Pi*x*csgn(I*x)^2*csgn(I*x^2)+I*Pi*x*csgn(I*x^2)^3+3*I*Pi*csgn(I*x^2)^3+3*I*Pi*csgn(I*x)^2*csgn(I*x^2)-I*exp(x^2)*Pi*csgn(I*x^2)^3-2*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2-6*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*exp(x^2)*Pi*csgn(I*x^2)*csgn(I*x)^2+2*I*exp(x^2)*Pi*csgn(I*x^2)^2*csgn(I*x)+4*exp(x^2)*ln(x)-4*x*ln(x)-4*ln(2)*exp(x^2)+4*x*ln(2)-12*ln(x)+12*ln(2)-2*exp(x^2)+10)/(x+3-exp(x^2)))","C"
9316,1,15,15,0.077000," ","int(((5*exp(x)*ln(x)^3-60*exp(x)*ln(x)^2+240*exp(x)*ln(x)-320*exp(x))*exp(exp(x))+(144*ln(x)-864)*exp(144*x/(5*ln(x)^2-40*ln(x)+80)))/(5*ln(x)^3-60*ln(x)^2+240*ln(x)-320),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{{\mathrm e}^{x}}+{\mathrm e}^{\frac{144 x}{5 \left(\ln \left(x \right)-4\right)^{2}}}$&$15$\\ default&$\frac{-40 \ln \left(x \right) {\mathrm e}^{\frac{144 x}{5 \ln \left(x \right)^{2}-40 \ln \left(x \right)+80}}+5 \ln \left(x \right)^{2} {\mathrm e}^{\frac{144 x}{5 \ln \left(x \right)^{2}-40 \ln \left(x \right)+80}}+80 \,{\mathrm e}^{\frac{144 x}{5 \ln \left(x \right)^{2}-40 \ln \left(x \right)+80}}}{5 \left(\ln \left(x \right)-4\right)^{2}}+{\mathrm e}^{{\mathrm e}^{x}}$&$80$\\ \hline \end{longtable}"," ",0,"exp(exp(x))+exp(144/5*x/(ln(x)-4)^2)","A"
9317,1,119,23,0.191000," ","int(1/5*((2*x^5-38*x^4+280*x^3-1000*x^2+1750*x-1250)*exp(x)^2+(2*x^7-32*x^6+180*x^5-402*x^4+268*x^3-50*x^2+50*x)*exp(x)+6*x^8-100*x^7+600*x^6-1506*x^5+1290*x^4-50*x^3)*exp(((x^4-20*x^3+150*x^2-500*x+625)*exp(x)^2+(2*x^6-40*x^5+300*x^4-1002*x^3+1270*x^2-50*x)*exp(x)+x^8-20*x^7+150*x^6-502*x^5+645*x^4-50*x^3+x^2)/x^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{x^{8}+2 x^{6} {\mathrm e}^{x}-20 x^{7}-40 x^{5} {\mathrm e}^{x}+150 x^{6}+{\mathrm e}^{2 x} x^{4}+300 \,{\mathrm e}^{x} x^{4}-502 x^{5}-20 \,{\mathrm e}^{2 x} x^{3}-1002 \,{\mathrm e}^{x} x^{3}+645 x^{4}+150 \,{\mathrm e}^{2 x} x^{2}+1270 \,{\mathrm e}^{x} x^{2}-50 x^{3}-500 x \,{\mathrm e}^{2 x}-50 \,{\mathrm e}^{x} x +x^{2}+625 \,{\mathrm e}^{2 x}}{x^{2}}}}{5}$&$119$\\ \hline \end{longtable}"," ",0,"1/5*exp((x^8+2*x^6*exp(x)-20*x^7-40*x^5*exp(x)+150*x^6+exp(2*x)*x^4+300*exp(x)*x^4-502*x^5-20*exp(2*x)*x^3-1002*exp(x)*x^3+645*x^4+150*exp(2*x)*x^2+1270*exp(x)*x^2-50*x^3-500*x*exp(2*x)-50*exp(x)*x+x^2+625*exp(2*x))/x^2)","B"
9318,1,11,11,0.020000," ","int(-2*ln(x)-2*exp(x)-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 \,{\mathrm e}^{x}-2 x \ln \left(x \right)$&$11$\\ norman&$-2 \,{\mathrm e}^{x}-2 x \ln \left(x \right)$&$11$\\ risch&$-2 \,{\mathrm e}^{x}-2 x \ln \left(x \right)$&$11$\\ \hline \end{longtable}"," ",0,"-2*exp(x)-2*x*ln(x)","A"
9319,1,71,28,0.135000," ","int(((((9*x^4-1)*exp(3)-9*x^5-9*x^4+x+1)*ln(-exp(3)+x+1)+(6*x^3-2*x)*exp(3)+9*x^5-6*x^4-12*x^3+2*x^2+3*x)*ln(x)^2+(((12*x^3+4*x)*exp(3)-12*x^4-12*x^3-4*x^2-4*x)*ln(-exp(3)+x+1)^2+((21*x^4+6*x^2+1)*exp(3)-21*x^5-9*x^4-6*x^3-10*x^2-x-1)*ln(-exp(3)+x+1)+(9*x^5+2*x^3+x)*exp(3)-9*x^6+3*x^5-2*x^4-6*x^3-x^2-x)*ln(x)+((12*x^3-4*x)*exp(3)-12*x^4-12*x^3+4*x^2+4*x)*ln(-exp(3)+x+1)^2+((24*x^4-8*x^2)*exp(3)-24*x^5-24*x^4+8*x^3+8*x^2)*ln(-exp(3)+x+1)+(12*x^5-4*x^3)*exp(3)-12*x^6-12*x^5+4*x^4+4*x^3)/((2*x^3*exp(3)-2*x^4-2*x^3)*ln(-exp(3)+x+1)^3+(6*x^4*exp(3)-6*x^5-6*x^4)*ln(-exp(3)+x+1)^2+(6*x^5*exp(3)-6*x^6-6*x^5)*ln(-exp(3)+x+1)+2*x^6*exp(3)-2*x^7-2*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(9 x^{4} \ln \left(x \right)+24 x^{4}+24 x^{3} \ln \left(-{\mathrm e}^{3}+x +1\right)-6 x^{2} \ln \left(x \right)-8 x^{2}-8 x \ln \left(-{\mathrm e}^{3}+x +1\right)+\ln \left(x \right)\right) \ln \left(x \right)}{4 x^{2} \left(\ln \left(-{\mathrm e}^{3}+x +1\right)+x \right)^{2}}$&$71$\\ \hline \end{longtable}"," ",0,"1/4*(9*x^4*ln(x)+24*x^4+24*x^3*ln(-exp(3)+x+1)-6*x^2*ln(x)-8*x^2-8*x*ln(-exp(3)+x+1)+ln(x))*ln(x)/x^2/(ln(-exp(3)+x+1)+x)^2","B"
9320,1,83,22,0.267000," ","int(((-25*ln(4/x^2)^3+4*x)*ln(x)+(x+23)*ln(4/x^2)^3+x*ln(4/x^2))/x^2/ln(4/x^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 \ln \left(x \right)}{x}+\frac{x \ln \left(x \right)+2}{x}+\frac{4 \ln \left(x \right)}{\left(-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-4 \ln \left(2\right)+4 \ln \left(x \right)\right)^{2}}$&$83$\\ \hline \end{longtable}"," ",0,"25*ln(x)/x+(x*ln(x)+2)/x+4*ln(x)/(-I*Pi*csgn(I*x)^2*csgn(I*x^2)+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x^2)^3-4*ln(2)+4*ln(x))^2","C"
9321,1,168,32,0.740000," ","int(((((1-x)*exp(1)-x^2+x)*ln(3*x-3)^2+((1-x)*exp(1)-x^2+x)*ln(x)+(x-1)*exp(1)+x^2-x)*ln(x*ln(3*x-3)^2+x*ln(x)-x)+(ln(x)*(x^2-x)+(1-x)*exp(1))*ln(3*x-3)^2+(2*x^2*ln(x)-2*x*exp(1))*ln(3*x-3)+(x^2-x)*ln(x)^2+(1-x)*exp(1)*ln(x))/((x^3-x^2)*ln(3*x-3)^2+(x^3-x^2)*ln(x)-x^3+x^2)/ln(x*ln(3*x-3)^2+x*ln(x)-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{-2 x \ln \left(x \right)+2 \,{\mathrm e}}{x \left(2 \ln \left(x \right)+2 \ln \left(\ln \left(3 x -3\right)^{2}+\ln \left(x \right)-1\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\ln \left(3 x -3\right)^{2}+\ln \left(x \right)-1\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(3 x -3\right)^{2}+\ln \left(x \right)-1\right)\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\ln \left(3 x -3\right)^{2}+\ln \left(x \right)-1\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(\ln \left(3 x -3\right)^{2}+\ln \left(x \right)-1\right)\right) \mathrm{csgn}\left(i x \left(\ln \left(3 x -3\right)^{2}+\ln \left(x \right)-1\right)\right)^{2}-i \pi  \mathrm{csgn}\left(i x \left(\ln \left(3 x -3\right)^{2}+\ln \left(x \right)-1\right)\right)^{3}\right)}$&$168$\\ \hline \end{longtable}"," ",0,"2*(-x*ln(x)+exp(1))/x/(2*ln(x)+2*ln(ln(3*x-3)^2+ln(x)-1)-I*Pi*csgn(I*x)*csgn(I*(ln(3*x-3)^2+ln(x)-1))*csgn(I*x*(ln(3*x-3)^2+ln(x)-1))+I*Pi*csgn(I*x)*csgn(I*x*(ln(3*x-3)^2+ln(x)-1))^2+I*Pi*csgn(I*(ln(3*x-3)^2+ln(x)-1))*csgn(I*x*(ln(3*x-3)^2+ln(x)-1))^2-I*Pi*csgn(I*x*(ln(3*x-3)^2+ln(x)-1))^3)","C"
9322,1,3,2,0.015000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
9323,1,30,27,0.074000," ","int(((-3*x*exp(x)^2-6*exp(x)*x-3*x)*ln(x)^4+(24*x*exp(x)^2+48*exp(x)*x+24*x)*ln(x)^3+(-53*x*exp(x)^2+(x*exp(5)+x^2-107*x)*exp(x)-54*x)*ln(x)^2+((-2*exp(5)+18*x)*exp(x)^2+((-4*x-2)*exp(5)-4*x^2+42*x)*exp(x)+24*x)*ln(x)+(4*exp(5)+2*x)*exp(x)^2+((4+x)*exp(5)+x^2-x)*exp(x)-3*x)/((x*exp(x)^2+2*exp(x)*x+x)*ln(x)^4+(-8*x*exp(x)^2-16*exp(x)*x-8*x)*ln(x)^3+(18*x*exp(x)^2+36*exp(x)*x+18*x)*ln(x)^2+(-8*x*exp(x)^2-16*exp(x)*x-8*x)*ln(x)+x*exp(x)^2+2*exp(x)*x+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 x +\frac{\left({\mathrm e}^{5}+x \right) {\mathrm e}^{x}}{\left({\mathrm e}^{x}+1\right) \left(\ln \left(x \right)^{2}-4 \ln \left(x \right)+1\right)}$&$30$\\ \hline \end{longtable}"," ",0,"-3*x+(exp(5)+x)*exp(x)/(exp(x)+1)/(ln(x)^2-4*ln(x)+1)","A"
9324,1,9,9,0.021000," ","int(2*exp(2*x)-25/9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{25 x}{9}+{\mathrm e}^{2 x}$&$9$\\ norman&$-\frac{25 x}{9}+{\mathrm e}^{2 x}$&$9$\\ risch&$-\frac{25 x}{9}+{\mathrm e}^{2 x}$&$9$\\ derivativedivides&${\mathrm e}^{2 x}-\frac{25 \ln \left({\mathrm e}^{2 x}\right)}{18}$&$13$\\ \hline \end{longtable}"," ",0,"-25/9*x+exp(2*x)","A"
9325,1,13,12,0.022000," ","int(-170*x*exp(-80*x^2-1)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{17 \,{\mathrm e}^{-80 x^{2}-1}}{16}$&$13$\\ norman&$x +\frac{17 \,{\mathrm e}^{-80 x^{2}-1}}{16}$&$13$\\ risch&$x +\frac{17 \,{\mathrm e}^{-80 x^{2}-1}}{16}$&$13$\\ \hline \end{longtable}"," ",0,"x+17/16*exp(-80*x^2-1)","A"
9326,1,65,20,0.053000," ","int((4*x^4+4*x^3)*exp(x)^4+(12*x^3+12*x^2)*exp(x)^3+(-4*x^4-4*x^3+14*x^2+8*x)*exp(x)^2+(-4*x^3-8*x^2+8*x)*exp(x)+4*x^3-6*x^2+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{3} {\mathrm e}^{3 x}+x^{4} {\mathrm e}^{4 x}+\left(-2 x^{4}+2 x^{3}+4 x^{2}\right) {\mathrm e}^{2 x}+\left(-4 x^{3}+4 x^{2}\right) {\mathrm e}^{x}+x^{4}-2 x^{3}+x^{2}$&$65$\\ default&$4 x^{3} {\mathrm e}^{3 x}+x^{4} {\mathrm e}^{4 x}+4 \,{\mathrm e}^{x} x^{2}-4 \,{\mathrm e}^{x} x^{3}+4 \,{\mathrm e}^{2 x} x^{2}+2 \,{\mathrm e}^{2 x} x^{3}-2 \,{\mathrm e}^{2 x} x^{4}+x^{2}-2 x^{3}+x^{4}$&$71$\\ norman&$4 x^{3} {\mathrm e}^{3 x}+x^{4} {\mathrm e}^{4 x}+4 \,{\mathrm e}^{x} x^{2}-4 \,{\mathrm e}^{x} x^{3}+4 \,{\mathrm e}^{2 x} x^{2}+2 \,{\mathrm e}^{2 x} x^{3}-2 \,{\mathrm e}^{2 x} x^{4}+x^{2}-2 x^{3}+x^{4}$&$71$\\ \hline \end{longtable}"," ",0,"4*x^3*exp(3*x)+x^4*exp(4*x)+(-2*x^4+2*x^3+4*x^2)*exp(2*x)+(-4*x^3+4*x^2)*exp(x)+x^4-2*x^3+x^2","B"
9327,0,0,27,4.742000," ","int(((-32*x^6+240*x^5-600*x^4+500*x^3)*exp(x)^3+(288*x^6-2160*x^5+5256*x^4-3780*x^3-900*x^2)*exp(x)^2+(-864*x^6+6480*x^5-15336*x^4+9180*x^3+5040*x^2+612*x+360)*exp(x)+864*x^6-6480*x^5+14904*x^4-7020*x^3-7452*x^2-756*x-1188)*exp(((-8*x^5+32*x^4-10*x^3-50*x^2)*exp(x)^2+(48*x^5-192*x^4+36*x^3+336*x^2+60*x)*exp(x)-72*x^5+288*x^4-18*x^3-558*x^2-198*x)/((4*x^4-20*x^3+25*x^2)*exp(x)^2+(-24*x^4+120*x^3-138*x^2-30*x)*exp(x)+36*x^4-180*x^3+189*x^2+90*x+9))^2/((8*x^6-60*x^5+150*x^4-125*x^3)*exp(x)^3+(-72*x^6+540*x^5-1314*x^4+945*x^3+225*x^2)*exp(x)^2+(216*x^6-1620*x^5+3834*x^4-2295*x^3-1296*x^2-135*x)*exp(x)-216*x^6+1620*x^5-3726*x^4+1755*x^3+1863*x^2+405*x+27),x)","\[\int \frac{\left(\left(-32 x^{6}+240 x^{5}-600 x^{4}+500 x^{3}\right) {\mathrm e}^{3 x}+\left(288 x^{6}-2160 x^{5}+5256 x^{4}-3780 x^{3}-900 x^{2}\right) {\mathrm e}^{2 x}+\left(-864 x^{6}+6480 x^{5}-15336 x^{4}+9180 x^{3}+5040 x^{2}+612 x +360\right) {\mathrm e}^{x}+864 x^{6}-6480 x^{5}+14904 x^{4}-7020 x^{3}-7452 x^{2}-756 x -1188\right) {\mathrm e}^{\frac{2 \left(-8 x^{5}+32 x^{4}-10 x^{3}-50 x^{2}\right) {\mathrm e}^{2 x}+2 \left(48 x^{5}-192 x^{4}+36 x^{3}+336 x^{2}+60 x \right) {\mathrm e}^{x}-144 x^{5}+576 x^{4}-36 x^{3}-1116 x^{2}-396 x}{\left(4 x^{4}-20 x^{3}+25 x^{2}\right) {\mathrm e}^{2 x}+\left(-24 x^{4}+120 x^{3}-138 x^{2}-30 x \right) {\mathrm e}^{x}+36 x^{4}-180 x^{3}+189 x^{2}+90 x +9}}}{\left(8 x^{6}-60 x^{5}+150 x^{4}-125 x^{3}\right) {\mathrm e}^{3 x}+\left(-72 x^{6}+540 x^{5}-1314 x^{4}+945 x^{3}+225 x^{2}\right) {\mathrm e}^{2 x}+\left(216 x^{6}-1620 x^{5}+3834 x^{4}-2295 x^{3}-1296 x^{2}-135 x \right) {\mathrm e}^{x}-216 x^{6}+1620 x^{5}-3726 x^{4}+1755 x^{3}+1863 x^{2}+405 x +27}\, dx\]"," ",0,"int(((-32*x^6+240*x^5-600*x^4+500*x^3)*exp(x)^3+(288*x^6-2160*x^5+5256*x^4-3780*x^3-900*x^2)*exp(x)^2+(-864*x^6+6480*x^5-15336*x^4+9180*x^3+5040*x^2+612*x+360)*exp(x)+864*x^6-6480*x^5+14904*x^4-7020*x^3-7452*x^2-756*x-1188)*exp(((-8*x^5+32*x^4-10*x^3-50*x^2)*exp(x)^2+(48*x^5-192*x^4+36*x^3+336*x^2+60*x)*exp(x)-72*x^5+288*x^4-18*x^3-558*x^2-198*x)/((4*x^4-20*x^3+25*x^2)*exp(x)^2+(-24*x^4+120*x^3-138*x^2-30*x)*exp(x)+36*x^4-180*x^3+189*x^2+90*x+9))^2/((8*x^6-60*x^5+150*x^4-125*x^3)*exp(x)^3+(-72*x^6+540*x^5-1314*x^4+945*x^3+225*x^2)*exp(x)^2+(216*x^6-1620*x^5+3834*x^4-2295*x^3-1296*x^2-135*x)*exp(x)-216*x^6+1620*x^5-3726*x^4+1755*x^3+1863*x^2+405*x+27),x)","F"
9328,1,36,30,0.059000," ","int((4*exp(4*x+16)*ln(ln(3)-5)*exp(exp(4*x+16))+2*ln(2)+3-2*x)/ln(ln(3)-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{-x^{2}+3 x +\ln \left(\ln \left(3\right)-5\right) {\mathrm e}^{{\mathrm e}^{4 x +16}}+2 x \ln \left(2\right)}{\ln \left(\ln \left(3\right)-5\right)}$&$36$\\ norman&$\frac{\left(2 \ln \left(2\right)+3\right) x}{\ln \left(\ln \left(3\right)-5\right)}-\frac{x^{2}}{\ln \left(\ln \left(3\right)-5\right)}+{\mathrm e}^{{\mathrm e}^{4 x +16}}$&$36$\\ risch&$-\frac{x^{2}}{\ln \left(\ln \left(3\right)-5\right)}+\frac{3 x}{\ln \left(\ln \left(3\right)-5\right)}+{\mathrm e}^{{\mathrm e}^{4 x +16}}+\frac{2 x \ln \left(2\right)}{\ln \left(\ln \left(3\right)-5\right)}$&$43$\\ \hline \end{longtable}"," ",0,"1/ln(ln(3)-5)*(-x^2+3*x+ln(ln(3)-5)*exp(exp(4*x+16))+2*x*ln(2))","A"
9329,1,59,24,0.704000," ","int((x*ln(x^2)*ln(2*ln(x^2))^2+(20+4*x)*ln(2*ln(x^2))+((-x^2-6*x)*exp(x)+4*x^2+15*x)*ln(x^2))/x/ln(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(5+x \right) \ln \left(4 \ln \left(x \right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}\right)^{2}+2 x^{2}-{\mathrm e}^{x} x +15 x -5 \,{\mathrm e}^{x}$&$59$\\ \hline \end{longtable}"," ",0,"(5+x)*ln(4*ln(x)-I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)^2+2*x^2-exp(x)*x+15*x-5*exp(x)","C"
9330,1,160,20,0.260000," ","int((((4*x-4)*exp(x)-4*exp(5))*ln(2*ln((exp(5)+exp(x))/x))+(x-1)*exp(x)-exp(5))*exp(ln(2*ln((exp(5)+exp(x))/x))^2+1/2*ln(2*ln((exp(5)+exp(x))/x))+1/16)/(2*exp(x)*x+2*x*exp(5))/ln((exp(5)+exp(x))/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\sqrt{-2 \ln \left(x \right)+2 \ln \left({\mathrm e}^{5}+{\mathrm e}^{x}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{5}+{\mathrm e}^{x}\right)}{x}\right) \left(-\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{5}+{\mathrm e}^{x}\right)}{x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{5}+{\mathrm e}^{x}\right)}{x}\right)+\mathrm{csgn}\left(i \left({\mathrm e}^{5}+{\mathrm e}^{x}\right)\right)\right)}\, {\mathrm e}^{\ln \left(-2 \ln \left(x \right)+2 \ln \left({\mathrm e}^{5}+{\mathrm e}^{x}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{5}+{\mathrm e}^{x}\right)}{x}\right) \left(-\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{5}+{\mathrm e}^{x}\right)}{x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{5}+{\mathrm e}^{x}\right)}{x}\right)+\mathrm{csgn}\left(i \left({\mathrm e}^{5}+{\mathrm e}^{x}\right)\right)\right)\right)^{2}+\frac{1}{16}}$&$160$\\ \hline \end{longtable}"," ",0,"(-2*ln(x)+2*ln(exp(5)+exp(x))-I*Pi*csgn(I*(exp(5)+exp(x))/x)*(-csgn(I*(exp(5)+exp(x))/x)+csgn(I/x))*(-csgn(I*(exp(5)+exp(x))/x)+csgn(I*(exp(5)+exp(x)))))^(1/2)*exp(ln(-2*ln(x)+2*ln(exp(5)+exp(x))-I*Pi*csgn(I*(exp(5)+exp(x))/x)*(-csgn(I*(exp(5)+exp(x))/x)+csgn(I/x))*(-csgn(I*(exp(5)+exp(x))/x)+csgn(I*(exp(5)+exp(x)))))^2+1/16)","C"
9331,1,1028,27,1.309000," ","int((-8*ln(3)*ln(1/3*x)^2*ln(x)+(16*x-8)*ln(3)*ln(1/3*x)^2+32*ln(3)*ln(1/3*x)-32*ln(3))/(x*ln(1/3*x)^2*ln(x)-x^2*ln(1/3*x)^2-4*x*ln(1/3*x))/ln((x^2*ln(1/3*x)^2*ln(x)^2+(-2*x^3*ln(1/3*x)^2-8*x^2*ln(1/3*x))*ln(x)+x^4*ln(1/3*x)^2+8*x^3*ln(1/3*x)+16*x^2)/ln(1/3*x)^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 i \ln \left(3\right)}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)^{2}}{\left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)^{2}}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)^{2}}{\left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)^{2}}\right)-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)^{2}}{\left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)^{2}}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{\left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)^{2}}\right) \mathrm{csgn}\left(i \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)^{2}}{\left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)^{2}}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{\left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)^{2}}{\left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)\right)^{2} \mathrm{csgn}\left(i \left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)\right)^{2} \mathrm{csgn}\left(i \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)\right) \mathrm{csgn}\left(i \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)^{2}}{\left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)^{2}}{\left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)^{2}}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)^{2}}{\left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)^{2}}\right) \mathrm{csgn}\left(\frac{i x^{2} \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)^{2}}{\left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i x^{2} \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)^{2}}{\left(2 i \ln \left(3\right)-2 i \ln \left(x \right)\right)^{2}}\right)^{3}+4 i \ln \left(-2 i x \ln \left(3\right)+2 i \ln \left(3\right) \ln \left(x \right)+2 i x \ln \left(x \right)-2 i \ln \left(x \right)^{2}+8 i\right)+4 i \ln \left(x \right)-4 i \ln \left(-2 i \ln \left(3\right)+2 i \ln \left(x \right)\right)}$&$1028$\\ \hline \end{longtable}"," ",0,"8*I*ln(3)/(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3+Pi*csgn(I*x^2)*csgn(I/(2*I*ln(3)-2*I*ln(x))^2*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)^2)*csgn(I*x^2*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)^2/(2*I*ln(3)-2*I*ln(x))^2)-Pi*csgn(I*x^2)*csgn(I*x^2*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)^2/(2*I*ln(3)-2*I*ln(x))^2)^2+Pi*csgn(I/(2*I*ln(3)-2*I*ln(x))^2)*csgn(I*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)^2)*csgn(I/(2*I*ln(3)-2*I*ln(x))^2*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)^2)-Pi*csgn(I/(2*I*ln(3)-2*I*ln(x))^2)*csgn(I/(2*I*ln(3)-2*I*ln(x))^2*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)^2)^2-Pi*csgn(I*(2*I*ln(3)-2*I*ln(x)))^2*csgn(I*(2*I*ln(3)-2*I*ln(x))^2)-2*Pi*csgn(I*(2*I*ln(3)-2*I*ln(x)))*csgn(I*(2*I*ln(3)-2*I*ln(x))^2)^2-Pi*csgn(I*(2*I*ln(3)-2*I*ln(x))^2)^3+Pi*csgn(I*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I))^2*csgn(I*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)^2)-2*Pi*csgn(I*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I))*csgn(I*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)^2)^2+Pi*csgn(I*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)^2)^3-Pi*csgn(I*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)^2)*csgn(I/(2*I*ln(3)-2*I*ln(x))^2*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)^2)^2+Pi*csgn(I/(2*I*ln(3)-2*I*ln(x))^2*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)^2)^3-Pi*csgn(I/(2*I*ln(3)-2*I*ln(x))^2*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)^2)*csgn(I*x^2*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)^2/(2*I*ln(3)-2*I*ln(x))^2)^2+Pi*csgn(I*x^2*(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)^2/(2*I*ln(3)-2*I*ln(x))^2)^3+4*I*ln(-2*I*x*ln(3)+2*I*ln(3)*ln(x)+2*I*x*ln(x)-2*I*ln(x)^2+8*I)+4*I*ln(x)-4*I*ln(-2*I*ln(3)+2*I*ln(x)))","C"
9332,1,33,23,0.024000," ","int(((9*exp(x)+36*x^2+27)*ln(exp(x)+4*x^2+3)+9*exp(x)*x+72*x^2)*exp((2*x*ln(exp(x)+4*x^2+3)-9)/x/ln(exp(x)+4*x^2+3))/(exp(x)*x^2+4*x^4+3*x^2)/ln(exp(x)+4*x^2+3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 x \ln \left({\mathrm e}^{x}+4 x^{2}+3\right)-9}{x \ln \left({\mathrm e}^{x}+4 x^{2}+3\right)}}$&$33$\\ \hline \end{longtable}"," ",0,"exp((2*x*ln(exp(x)+4*x^2+3)-9)/x/ln(exp(x)+4*x^2+3))","A"
9333,1,25,31,0.035000," ","int((-x^6+2*x^5-x^4-x^3+7*x^2-6*x-4)/(x^7-2*x^6-x^5+2*x^4+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}-2}{x^{2} \left(x^{2}-x -1\right)}-\ln \left(x \right)$&$25$\\ risch&$\frac{x^{2}-2}{x^{2} \left(x^{2}-x -1\right)}-\ln \left(x \right)$&$25$\\ default&$\frac{2}{x^{2}}-\frac{2}{x}-\ln \left(x \right)-\frac{3-2 x}{x^{2}-x -1}$&$33$\\ \hline \end{longtable}"," ",0,"(x^2-2)/x^2/(x^2-x-1)-ln(x)","A"
9334,1,12,15,0.020000," ","int((-5*exp(x)+5)/(exp(x)-x)/ln(x-exp(x))/ln(ln(x-exp(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 \ln \left(\ln \left(\ln \left(x -{\mathrm e}^{x}\right)\right)\right)$&$12$\\ \hline \end{longtable}"," ",0,"-5*ln(ln(ln(x-exp(x))))","A"
9335,1,28,24,0.630000," ","int((8*exp(1)^2+(-14*x-60)*exp(1)+7*x^2+56*x+112)/(4*exp(1)^2+(-8*x-32)*exp(1)+4*x^2+32*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{7 x^{2}}{4}+2 \,{\mathrm e}^{2}-15 \,{\mathrm e}+28}{{\mathrm e}-x -4}$&$28$\\ gosper&$\frac{-7 x^{2}+112+8 \,{\mathrm e}^{2}-60 \,{\mathrm e}}{4 \,{\mathrm e}-4 x -16}$&$29$\\ risch&$\frac{7 x}{4}+\frac{{\mathrm e}^{2}}{4 \,{\mathrm e}-4 x -16}-\frac{{\mathrm e}}{{\mathrm e}-x -4}$&$31$\\ meijerg&$\frac{28 x}{\left(4-{\mathrm e}\right)^{2} \left(1+\frac{x}{4-{\mathrm e}}\right)}+\frac{\left(-14 \,{\mathrm e}+56\right) \left(-\frac{x}{\left(1+\frac{x}{4-{\mathrm e}}\right) \left(4-{\mathrm e}\right)}+\ln \left(1+\frac{x}{4-{\mathrm e}}\right)\right)}{4}+\frac{7 \left(4-{\mathrm e}\right) \left(\frac{x \left(\frac{3 x}{4-{\mathrm e}}+6\right)}{3 \left(4-{\mathrm e}\right) \left(1+\frac{x}{4-{\mathrm e}}\right)}-2 \ln \left(1+\frac{x}{4-{\mathrm e}}\right)\right)}{4}+\frac{2 \,{\mathrm e}^{2} x}{\left(4-{\mathrm e}\right)^{2} \left(1+\frac{x}{4-{\mathrm e}}\right)}-\frac{15 \,{\mathrm e} x}{\left(4-{\mathrm e}\right)^{2} \left(1+\frac{x}{4-{\mathrm e}}\right)}$&$190$\\ \hline \end{longtable}"," ",0,"(-7/4*x^2+2*exp(1)^2-15*exp(1)+28)/(exp(1)-x-4)","A"
9336,1,113,26,0.117000," ","int(((((4*x^2-100*x)*ln(5)+4*x^3-100*x^2)*exp(x)^2+((x^2-26*x-25)*ln(5)+x^3-25*x^2-50*x)*exp(x))*exp(exp(x)+2)^4+(((-36*x^2+900*x)*ln(5)-36*x^3+900*x^2)*exp(x)^2+((-12*x^2+312*x+300)*ln(5)-12*x^3+300*x^2+600*x)*exp(x))*exp(exp(x)+2)^3+(((108*x^2-2700*x)*ln(5)+108*x^3-2700*x^2)*exp(x)^2+((54*x^2-1404*x-1350)*ln(5)+54*x^3-1350*x^2-2700*x)*exp(x))*exp(exp(x)+2)^2+(((-108*x^2+2700*x)*ln(5)-108*x^3+2700*x^2)*exp(x)^2+((-108*x^2+2808*x+2700)*ln(5)-108*x^3+2700*x^2+5400*x)*exp(x))*exp(exp(x)+2)+((81*x^2-2106*x-2025)*ln(5)+81*x^3-2025*x^2-4050*x)*exp(x))/(x^3-75*x^2+1875*x-15625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{81 x \left(\ln \left(5\right)+x \right) {\mathrm e}^{x}}{\left(x -25\right)^{2}}+\frac{x \left(\ln \left(5\right)+x \right) {\mathrm e}^{x +4 \,{\mathrm e}^{x}+8}}{x^{2}-50 x +625}-\frac{12 x \left(\ln \left(5\right)+x \right) {\mathrm e}^{x +3 \,{\mathrm e}^{x}+6}}{x^{2}-50 x +625}+\frac{54 x \left(\ln \left(5\right)+x \right) {\mathrm e}^{x +2 \,{\mathrm e}^{x}+4}}{x^{2}-50 x +625}-\frac{108 x \left(\ln \left(5\right)+x \right) {\mathrm e}^{{\mathrm e}^{x}+2+x}}{x^{2}-50 x +625}$&$113$\\ \hline \end{longtable}"," ",0,"81*x*(ln(5)+x)/(x-25)^2*exp(x)+1/(x^2-50*x+625)*x*(ln(5)+x)*exp(x+4*exp(x)+8)-12/(x^2-50*x+625)*x*(ln(5)+x)*exp(x+3*exp(x)+6)+54/(x^2-50*x+625)*x*(ln(5)+x)*exp(x+2*exp(x)+4)-108/(x^2-50*x+625)*x*(ln(5)+x)*exp(exp(x)+2+x)","B"
9337,1,23,20,0.043000," ","int(((2*x^6-x^5)*exp(x^2-x-1)+16*x^2*exp(5)-64)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{16}{x^{4}}-\frac{8 \,{\mathrm e}^{5}}{x^{2}}+{\mathrm e}^{x^{2}-x -1}$&$23$\\ risch&$\frac{-8 x^{2} {\mathrm e}^{5}+16}{x^{4}}+{\mathrm e}^{x^{2}-x -1}$&$24$\\ norman&$\frac{16+x^{4} {\mathrm e}^{x^{2}-x -1}-8 x^{2} {\mathrm e}^{5}}{x^{4}}$&$27$\\ \hline \end{longtable}"," ",0,"16/x^4-8*exp(5)/x^2+exp(x^2-x-1)","A"
9338,1,27,23,0.044000," ","int(1/15*((8*x-8)*exp(x)^2*ln(x)*ln(ln(x))+((20*x^2-10*x)*exp(x)^2+(x^2-x)*exp(x))*ln(x)+4*exp(x)^2)/x^3/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{2 x} \ln \left(\ln \left(x \right)\right)}{15 x^{2}}+\frac{{\mathrm e}^{x} \left(10 \,{\mathrm e}^{x}+1\right)}{15 x}$&$27$\\ \hline \end{longtable}"," ",0,"4/15/x^2*exp(2*x)*ln(ln(x))+1/15*exp(x)*(10*exp(x)+1)/x","A"
9339,1,23,19,0.531000," ","int(((-12*x^3-24*x^2)*ln(2+x)+(-12*x^3-24*x^2)*ln(x)-8*x^3+16*x)/(2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x^{3} \ln \left(x \right)-4 \ln \left(2+x \right) x^{3}+4 x^{2}$&$23$\\ default&$-4 x^{3} \ln \left(x \right)-4 \left(2+x \right)^{3} \ln \left(2+x \right)+4 x^{2}+\frac{176}{3}+24 \ln \left(2+x \right) \left(2+x \right)^{2}-48 \left(2+x \right) \ln \left(2+x \right)+32 \ln \left(2+x \right)$&$52$\\ \hline \end{longtable}"," ",0,"-4*x^3*ln(x)-4*ln(2+x)*x^3+4*x^2","A"
9340,0,0,22,0.031000," ","int((6*x*ln(x)*ln(5/ln(x))+(-5*x^2+24*x)*ln(x)+x)/(3*exp(1)*ln(x)*ln(5/ln(x))+(-3*x+12)*exp(1)*ln(x))/(ln(5/ln(x))-x+4)^(1/3),x)","\[\int \frac{6 x \ln \left(x \right) \ln \left(\frac{5}{\ln \left(x \right)}\right)+\left(-5 x^{2}+24 x \right) \ln \left(x \right)+x}{\left(3 \,{\mathrm e} \ln \left(x \right) \ln \left(\frac{5}{\ln \left(x \right)}\right)+\left(-3 x +12\right) {\mathrm e} \ln \left(x \right)\right) \left(\ln \left(\frac{5}{\ln \left(x \right)}\right)-x +4\right)^{\frac{1}{3}}}\, dx\]"," ",0,"int((6*x*ln(x)*ln(5/ln(x))+(-5*x^2+24*x)*ln(x)+x)/(3*exp(1)*ln(x)*ln(5/ln(x))+(-3*x+12)*exp(1)*ln(x))/(ln(5/ln(x))-x+4)^(1/3),x)","F"
9341,1,27,25,0.060000," ","int(((6*x^3*exp(x^2)-3*x^2)*ln(x)+(-6*x^4-12*x^3+9*x^2-3*x+3)*exp(x^2)+9*x^2-6*x)/(x^2*ln(x)^2+(-2*x^3-4*x^2+2*x)*ln(x)+x^4+4*x^3+2*x^2-4*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \left(-{\mathrm e}^{x^{2}}+x \right) x}{x^{2}-x \ln \left(x \right)+2 x -1}$&$27$\\ \hline \end{longtable}"," ",0,"3*(-exp(x^2)+x)*x/(x^2-x*ln(x)+2*x-1)","A"
9342,0,0,22,0.017000," ","int(((14*x^13+104*x^12+192*x^11)*ln(3*x)*ln(x*ln(3*x)^2)^4+((60*x^14+452*x^13+864*x^12+64*x^11)*ln(3*x)+8*x^13+64*x^12+128*x^11)*ln(x*ln(3*x)^2)^3+((96*x^15+732*x^14+1440*x^13+192*x^12)*ln(3*x)+24*x^14+192*x^13+384*x^12)*ln(x*ln(3*x)^2)^2+((68*x^16+524*x^15+1056*x^14+192*x^13)*ln(3*x)+24*x^15+192*x^14+384*x^13)*ln(x*ln(3*x)^2)+(18*x^17+140*x^16+288*x^15+64*x^14)*ln(3*x)+8*x^16+64*x^15+128*x^14)/ln(3*x),x)","\[\int \frac{\left(14 x^{13}+104 x^{12}+192 x^{11}\right) \ln \left(3 x \right) \ln \left(x \ln \left(3 x \right)^{2}\right)^{4}+\left(\left(60 x^{14}+452 x^{13}+864 x^{12}+64 x^{11}\right) \ln \left(3 x \right)+8 x^{13}+64 x^{12}+128 x^{11}\right) \ln \left(x \ln \left(3 x \right)^{2}\right)^{3}+\left(\left(96 x^{15}+732 x^{14}+1440 x^{13}+192 x^{12}\right) \ln \left(3 x \right)+24 x^{14}+192 x^{13}+384 x^{12}\right) \ln \left(x \ln \left(3 x \right)^{2}\right)^{2}+\left(\left(68 x^{16}+524 x^{15}+1056 x^{14}+192 x^{13}\right) \ln \left(3 x \right)+24 x^{15}+192 x^{14}+384 x^{13}\right) \ln \left(x \ln \left(3 x \right)^{2}\right)+\left(18 x^{17}+140 x^{16}+288 x^{15}+64 x^{14}\right) \ln \left(3 x \right)+8 x^{16}+64 x^{15}+128 x^{14}}{\ln \left(3 x \right)}\, dx\]"," ",0,"int(((14*x^13+104*x^12+192*x^11)*ln(3*x)*ln(x*ln(3*x)^2)^4+((60*x^14+452*x^13+864*x^12+64*x^11)*ln(3*x)+8*x^13+64*x^12+128*x^11)*ln(x*ln(3*x)^2)^3+((96*x^15+732*x^14+1440*x^13+192*x^12)*ln(3*x)+24*x^14+192*x^13+384*x^12)*ln(x*ln(3*x)^2)^2+((68*x^16+524*x^15+1056*x^14+192*x^13)*ln(3*x)+24*x^15+192*x^14+384*x^13)*ln(x*ln(3*x)^2)+(18*x^17+140*x^16+288*x^15+64*x^14)*ln(3*x)+8*x^16+64*x^15+128*x^14)/ln(3*x),x)","F"
9343,1,20,17,0.633000," ","int(((4*x^2+9*x+2)*ln((4*x+1)/(2+x))-7*ln(3)-7*x)/(4*x^2+9*x+2)/ln((4*x+1)/(2+x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(3\right)+x}{\ln \left(\frac{4 x +1}{2+x}\right)}$&$20$\\ risch&$\frac{\ln \left(3\right)+x}{\ln \left(\frac{4 x +1}{2+x}\right)}$&$20$\\ \hline \end{longtable}"," ",0,"(ln(3)+x)/ln((4*x+1)/(2+x))","A"
9344,1,26,26,0.220000," ","int((((2*x^3-16*x^2+32*x)*exp(-4*x/(x-4))+2*x^4-40*x^3+224*x^2-384*x)*ln(exp(-4*x/(x-4))+x-12)+((x^2-8*x+16)*ln(2)+20*x^2-32*x+64)*exp(-4*x/(x-4))+(x^3-20*x^2+112*x-192)*ln(2)+x^4-4*x^3-64*x^2+448*x-768)/((x^2-8*x+16)*exp(-4*x/(x-4))+x^3-20*x^2+112*x-192),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{-\frac{4 x}{x -4}}+x -12\right) x^{2}+4 x +x \ln \left(2\right)$&$26$\\ norman&$\frac{\left(4+\ln \left(2\right)\right) x^{2}+\ln \left({\mathrm e}^{-\frac{4 x}{x -4}}+x -12\right) x^{3}-64-4 \ln \left({\mathrm e}^{-\frac{4 x}{x -4}}+x -12\right) x^{2}-16 \ln \left(2\right)}{x -4}$&$56$\\ \hline \end{longtable}"," ",0,"ln(exp(-4*x/(x-4))+x-12)*x^2+4*x+x*ln(2)","A"
9345,1,60,28,0.563000," ","int((((-4*x+8)*ln(2-x)^2+(6*x-12)*ln(2-x)-6*x-18)*exp(1/2*(3*x+9)/ln(2-x))^2+((2*x^2-6*x+4)*exp(x)*ln(2-x)^2+(-3*x^2+6*x)*exp(x)*ln(2-x)+(3*x^2+9*x)*exp(x))*exp(1/2*(3*x+9)/ln(2-x))+(x^2-2*x)*exp(x)^2*ln(2-x)^2)/(2*x-4)/exp(x)^2/ln(2-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{4}+{\mathrm e}^{-\frac{2 x \ln \left(2-x \right)-3 x -9}{\ln \left(2-x \right)}}-x \,{\mathrm e}^{-\frac{2 x \ln \left(2-x \right)-3 x -9}{2 \ln \left(2-x \right)}}$&$60$\\ \hline \end{longtable}"," ",0,"1/4*x^2+exp(-(2*x*ln(2-x)-3*x-9)/ln(2-x))-x*exp(-1/2*(2*x*ln(2-x)-3*x-9)/ln(2-x))","B"
9346,1,23,16,0.021000," ","int(1/15*(50*x-4)*exp(4)+5*x^2+14/5*x-4/15,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(25 x \,{\mathrm e}^{4}+25 x^{2}-4 \,{\mathrm e}^{4}+21 x -4\right)}{15}$&$23$\\ norman&$\left(-\frac{4 \,{\mathrm e}^{4}}{15}-\frac{4}{15}\right) x +\left(\frac{5 \,{\mathrm e}^{4}}{3}+\frac{7}{5}\right) x^{2}+\frac{5 x^{3}}{3}$&$25$\\ risch&$\frac{5 x^{2} {\mathrm e}^{4}}{3}-\frac{4 x \,{\mathrm e}^{4}}{15}+\frac{5 x^{3}}{3}+\frac{7 x^{2}}{5}-\frac{4 x}{15}$&$27$\\ default&$\frac{{\mathrm e}^{4} \left(25 x^{2}-4 x \right)}{15}+\frac{5 x^{3}}{3}+\frac{7 x^{2}}{5}-\frac{4 x}{15}$&$28$\\ \hline \end{longtable}"," ",0,"1/15*x*(25*x*exp(4)+25*x^2-4*exp(4)+21*x-4)","A"
9347,1,29,29,0.260000," ","int((((x-1)*exp(2*x)^2+(-8*x^3+6*x^2+2*x)*exp(2*x)-3*x^3-x^2)*exp(1+ln(x)-x)+(-24*x^3+24*x^2)*exp(2*x)-12*x^3)/((x*exp(2*x)^2-2*exp(2*x)*x^2+x^3)*exp(1+ln(x)-x)+3*x*exp(2*x)^2-6*exp(2*x)*x^2+3*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{4 x^{2}}{x -{\mathrm e}^{2 x}}-\ln \left(\frac{x \,{\mathrm e}}{3}+{\mathrm e}^{x}\right)$&$29$\\ \hline \end{longtable}"," ",0,"x-4*x^2/(x-exp(2*x))-ln(1/3*x*exp(1)+exp(x))","A"
9348,1,21,21,0.048000," ","int(2*x*exp(2)*exp(x^2-3)*exp(exp(x^2-3))-exp(2)*exp(ln(2)+x+1)+exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \,{\mathrm e}^{3+x}+{\mathrm e}^{2+{\mathrm e}^{x^{2}-3}}+{\mathrm e}^{2} x$&$21$\\ default&$-{\mathrm e}^{2} {\mathrm e}^{\ln \left(2\right)+x +1}+{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{x^{2}-3}}+{\mathrm e}^{2} x$&$26$\\ norman&$-{\mathrm e}^{2} {\mathrm e}^{\ln \left(2\right)+x +1}+{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{x^{2}-3}}+{\mathrm e}^{2} x$&$26$\\ \hline \end{longtable}"," ",0,"-2*exp(3+x)+exp(2+exp(x^2-3))+exp(2)*x","A"
9349,1,40,26,0.058000," ","int((-12*x+12)*exp(4*exp(4)-3*x^2+6*x)^2+(-60*x+60)*exp(4*exp(4)-3*x^2+6*x)+(2*x+1)*exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$10 \,{\mathrm e}^{4 \,{\mathrm e}^{4}-3 x^{2}+6 x}+{\mathrm e}^{8 \,{\mathrm e}^{4}-6 x^{2}+12 x}+{\mathrm e}^{5} \left(x^{2}+x \right)$&$40$\\ risch&${\mathrm e}^{8 \,{\mathrm e}^{4}-6 x^{2}+12 x}+x \,{\mathrm e}^{5}+x^{2} {\mathrm e}^{5}+10 \,{\mathrm e}^{4 \,{\mathrm e}^{4}-3 x^{2}+6 x}$&$42$\\ norman&${\mathrm e}^{8 \,{\mathrm e}^{4}-6 x^{2}+12 x}+x \,{\mathrm e}^{5}+x^{2} {\mathrm e}^{5}+10 \,{\mathrm e}^{4 \,{\mathrm e}^{4}-3 x^{2}+6 x}$&$44$\\ \hline \end{longtable}"," ",0,"10*exp(4*exp(4)-3*x^2+6*x)+exp(8*exp(4)-6*x^2+12*x)+exp(5)*(x^2+x)","A"
9350,1,35,23,0.449000," ","int((6*x+38)*ln((x^3+47*x^2+475*x-1875)/(3*x^3+141*x^2+1425*x-5624))/(3*x^5+207*x^4+4302*x^3+15151*x^2-230603*x+421800),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{x^{3}+47 x^{2}+475 x -1875}{3 x^{3}+141 x^{2}+1425 x -5624}\right)^{2}$&$35$\\ default&$2 \ln \left(x -3\right) \ln \left(\frac{x^{3}+47 x^{2}+475 x -1875}{3 x^{3}+141 x^{2}+1425 x -5624}\right)-4 \ln \left(x -3\right) \ln \left(\frac{x}{28}+\frac{25}{28}\right)+2 \ln \left(x -3\right) \ln \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}+168 \textit{\_Z}^{2}+2352 \textit{\_Z} +1, \mathit{index} =1\right)-x +3}{\RootOf \left(3 \textit{\_Z}^{3}+168 \textit{\_Z}^{2}+2352 \textit{\_Z} +1, \mathit{index} =1\right)}\right)+2 \dilog \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}+168 \textit{\_Z}^{2}+2352 \textit{\_Z} +1, \mathit{index} =1\right)-x +3}{\RootOf \left(3 \textit{\_Z}^{3}+168 \textit{\_Z}^{2}+2352 \textit{\_Z} +1, \mathit{index} =1\right)}\right)+2 \ln \left(x -3\right) \ln \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}+168 \textit{\_Z}^{2}+2352 \textit{\_Z} +1, \mathit{index} =2\right)-x +3}{\RootOf \left(3 \textit{\_Z}^{3}+168 \textit{\_Z}^{2}+2352 \textit{\_Z} +1, \mathit{index} =2\right)}\right)+2 \dilog \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}+168 \textit{\_Z}^{2}+2352 \textit{\_Z} +1, \mathit{index} =2\right)-x +3}{\RootOf \left(3 \textit{\_Z}^{3}+168 \textit{\_Z}^{2}+2352 \textit{\_Z} +1, \mathit{index} =2\right)}\right)+2 \ln \left(x -3\right) \ln \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}+168 \textit{\_Z}^{2}+2352 \textit{\_Z} +1, \mathit{index} =3\right)-x +3}{\RootOf \left(3 \textit{\_Z}^{3}+168 \textit{\_Z}^{2}+2352 \textit{\_Z} +1, \mathit{index} =3\right)}\right)+2 \dilog \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}+168 \textit{\_Z}^{2}+2352 \textit{\_Z} +1, \mathit{index} =3\right)-x +3}{\RootOf \left(3 \textit{\_Z}^{3}+168 \textit{\_Z}^{2}+2352 \textit{\_Z} +1, \mathit{index} =3\right)}\right)-\ln \left(x -3\right)^{2}+2 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha  =\RootOf \left(3 \textit{\_Z}^{3}+141 \textit{\_Z}^{2}+1425 \textit{\_Z} -5624\right)}{\sum}\left(-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{x^{3}+47 x^{2}+475 x -1875}{3 x^{3}+141 x^{2}+1425 x -5624}\right)-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{\underline{\hspace{1.25 ex}}\alpha  +47-\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}-94 \underline{\hspace{1.25 ex}}\alpha  +309}+2 x}{3 \underline{\hspace{1.25 ex}}\alpha  +47-\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}-94 \underline{\hspace{1.25 ex}}\alpha  +309}}\right)-\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{\underline{\hspace{1.25 ex}}\alpha  +47+\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}-94 \underline{\hspace{1.25 ex}}\alpha  +309}+2 x}{3 \underline{\hspace{1.25 ex}}\alpha  +47+\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}-94 \underline{\hspace{1.25 ex}}\alpha  +309}}\right)-\dilog \left(\frac{\underline{\hspace{1.25 ex}}\alpha  +47-\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}-94 \underline{\hspace{1.25 ex}}\alpha  +309}+2 x}{3 \underline{\hspace{1.25 ex}}\alpha  +47-\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}-94 \underline{\hspace{1.25 ex}}\alpha  +309}}\right)-\dilog \left(\frac{\underline{\hspace{1.25 ex}}\alpha  +47+\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}-94 \underline{\hspace{1.25 ex}}\alpha  +309}+2 x}{3 \underline{\hspace{1.25 ex}}\alpha  +47+\sqrt{-3 \underline{\hspace{1.25 ex}}\alpha^{2}-94 \underline{\hspace{1.25 ex}}\alpha  +309}}\right)+2 \dilog \left(\frac{x +25}{25+\underline{\hspace{1.25 ex}}\alpha }\right)+2 \ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{x +25}{25+\underline{\hspace{1.25 ex}}\alpha }\right)+\dilog \left(\frac{x -3}{\underline{\hspace{1.25 ex}}\alpha  -3}\right)+\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right) \ln \left(\frac{x -3}{\underline{\hspace{1.25 ex}}\alpha  -3}\right)-\frac{\ln \left(x -\underline{\hspace{1.25 ex}}\alpha  \right)^{2}}{2}\right)\right)+4 \ln \left(x +25\right) \ln \left(\frac{x^{3}+47 x^{2}+475 x -1875}{3 x^{3}+141 x^{2}+1425 x -5624}\right)-4 \left(\ln \left(x +25\right)-\ln \left(\frac{x}{28}+\frac{25}{28}\right)\right) \ln \left(-\frac{x}{28}+\frac{3}{28}\right)-4 \ln \left(x +25\right)^{2}+4 \ln \left(x +25\right) \ln \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}-84 \textit{\_Z}^{2}+1, \mathit{index} =1\right)-x -25}{\RootOf \left(3 \textit{\_Z}^{3}-84 \textit{\_Z}^{2}+1, \mathit{index} =1\right)}\right)+4 \dilog \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}-84 \textit{\_Z}^{2}+1, \mathit{index} =1\right)-x -25}{\RootOf \left(3 \textit{\_Z}^{3}-84 \textit{\_Z}^{2}+1, \mathit{index} =1\right)}\right)+4 \ln \left(x +25\right) \ln \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}-84 \textit{\_Z}^{2}+1, \mathit{index} =2\right)-x -25}{\RootOf \left(3 \textit{\_Z}^{3}-84 \textit{\_Z}^{2}+1, \mathit{index} =2\right)}\right)+4 \dilog \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}-84 \textit{\_Z}^{2}+1, \mathit{index} =2\right)-x -25}{\RootOf \left(3 \textit{\_Z}^{3}-84 \textit{\_Z}^{2}+1, \mathit{index} =2\right)}\right)+4 \ln \left(x +25\right) \ln \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}-84 \textit{\_Z}^{2}+1, \mathit{index} =3\right)-x -25}{\RootOf \left(3 \textit{\_Z}^{3}-84 \textit{\_Z}^{2}+1, \mathit{index} =3\right)}\right)+4 \dilog \left(\frac{\RootOf \left(3 \textit{\_Z}^{3}-84 \textit{\_Z}^{2}+1, \mathit{index} =3\right)-x -25}{\RootOf \left(3 \textit{\_Z}^{3}-84 \textit{\_Z}^{2}+1, \mathit{index} =3\right)}\right)$&$1016$\\ risch&$\text{Expression too large to display}$&$6661$\\ \hline \end{longtable}"," ",0,"ln((x^3+47*x^2+475*x-1875)/(3*x^3+141*x^2+1425*x-5624))^2","A"
9351,1,20,20,0.037000," ","int(-4*x^3*exp(x^4)+(50*x+2)*exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e} \left(25 x^{2}+2 x \right)-{\mathrm e}^{x^{4}}$&$20$\\ norman&$2 x \,{\mathrm e}+25 x^{2} {\mathrm e}-{\mathrm e}^{x^{4}}$&$20$\\ risch&$2 x \,{\mathrm e}+25 x^{2} {\mathrm e}-{\mathrm e}^{x^{4}}$&$20$\\ \hline \end{longtable}"," ",0,"exp(1)*(25*x^2+2*x)-exp(x^4)","A"
9352,1,19,21,0.570000," ","int((((-x-5)*exp(x)-x-5)*ln(5+x)^2+(ln(x)*(5+x)+5+x)*ln(5+x)-x*ln(x))/(5+x)/ln(5+x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -{\mathrm e}^{x}+\frac{\ln \left(x \right) x}{\ln \left(5+x \right)}$&$19$\\ \hline \end{longtable}"," ",0,"-x-exp(x)+ln(x)*x/ln(5+x)","A"
9353,1,57,28,0.433000," ","int((exp(x)^2+((x^2+6*x+9)*exp(4)+4*x^4+15*x^3-17*x^2-81*x-3)*exp(x)-48*x^3-282*x^2-396*x+54)/(3*exp(x)^2+((18+6*x)*exp(4)+24*x^3+66*x^2-18*x)*exp(x)+(3*x^2+18*x+27)*exp(4)^2+(24*x^4+138*x^3+180*x^2-54*x)*exp(4)+48*x^6+264*x^5+291*x^4-198*x^3+27*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-11 x^{2}-4 x^{3}+\left(5-{\mathrm e}^{4}\right) x +\frac{{\mathrm e}^{x} x}{3}-3 \,{\mathrm e}^{4}+6}{4 x^{3}+x \,{\mathrm e}^{4}+11 x^{2}+3 \,{\mathrm e}^{4}+{\mathrm e}^{x}-3 x}$&$57$\\ risch&$\frac{x}{3}-\frac{4 x^{4}+x^{2} {\mathrm e}^{4}+23 x^{3}+6 x \,{\mathrm e}^{4}+30 x^{2}+9 \,{\mathrm e}^{4}-15 x -18}{3 \left(4 x^{3}+x \,{\mathrm e}^{4}+11 x^{2}+3 \,{\mathrm e}^{4}+{\mathrm e}^{x}-3 x \right)}$&$68$\\ \hline \end{longtable}"," ",0,"(-11*x^2-4*x^3+(5-exp(4))*x+1/3*exp(x)*x-3*exp(4)+6)/(4*x^3+x*exp(4)+11*x^2+3*exp(4)+exp(x)-3*x)","A"
9354,1,34,24,0.051000," ","int((((-16*exp(20+4*x)+4)*exp(x^2)-4*exp(20+4*x)+1)*ln(12/5*exp(x^2)+3/5)+((-24*x-4)*exp(20+4*x)+8*x^2+8*x)*exp(x^2)+(-4*x-1)*exp(20+4*x)+2*x)/(4*exp(x^2)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x -{\mathrm e}^{20+4 x}\right) \ln \left(\frac{12 \,{\mathrm e}^{x^{2}}}{5}+\frac{3}{5}\right)+x^{2}-{\mathrm e}^{20+4 x} x$&$34$\\ \hline \end{longtable}"," ",0,"(x-exp(20+4*x))*ln(12/5*exp(x^2)+3/5)+x^2-exp(20+4*x)*x","A"
9355,1,20,20,0.539000," ","int(((x+9)*ln(1/4*x^2/(x+9)/ln(2)^2)+2*x+27)*exp(x*ln(1/4*x^2/(x+9)/ln(2)^2)+x)/(x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{x^{2}}{4 \left(x +9\right) \ln \left(2\right)^{2}}\right)^{x} {\mathrm e}^{x}$&$20$\\ norman&${\mathrm e}^{x \ln \left(\frac{x^{2}}{4 \left(x +9\right) \ln \left(2\right)^{2}}\right)+x}$&$21$\\ \hline \end{longtable}"," ",0,"(1/4*x^2/(x+9)/ln(2)^2)^x*exp(x)","A"
9356,1,22,12,0.021000," ","int(1/9*(-9*x*ln(x)^2+(18*x-40)*ln(x)+36*x+80)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-9 x -20\right) \ln \left(x \right)^{2}}{9}+4 x \ln \left(x \right)+\frac{80 \ln \left(x \right)}{9}$&$22$\\ default&$-x \ln \left(x \right)^{2}+4 x \ln \left(x \right)-\frac{20 \ln \left(x \right)^{2}}{9}+\frac{80 \ln \left(x \right)}{9}$&$24$\\ norman&$-x \ln \left(x \right)^{2}+4 x \ln \left(x \right)-\frac{20 \ln \left(x \right)^{2}}{9}+\frac{80 \ln \left(x \right)}{9}$&$24$\\ \hline \end{longtable}"," ",0,"1/9*(-9*x-20)*ln(x)^2+4*x*ln(x)+80/9*ln(x)","A"
9357,1,285,18,0.123000," ","int(8*x*exp(x^2)^4+(-24*x*ln(2)^2-240*x*ln(2)-48*x^2-600*x-8)*exp(x^2)^3+(24*x*ln(2)^4+480*x*ln(2)^3+(96*x^2+3600*x+24)*ln(2)^2+(960*x^2+12000*x+240)*ln(2)+96*x^3+2400*x^2+15048*x+600)*exp(x^2)^2+(-8*x*ln(2)^6-240*x*ln(2)^5+(-48*x^2-3000*x-24)*ln(2)^4+(-960*x^2-20000*x-480)*ln(2)^3+(-96*x^3-7200*x^2-75096*x-3600)*ln(2)^2+(-960*x^3-24000*x^2-150960*x-12000)*ln(2)-64*x^4-2400*x^3-30096*x^2-127400*x-15000)*exp(x^2)+8*ln(2)^6+240*ln(2)^5+(48*x+3000)*ln(2)^4+(960*x+20000)*ln(2)^3+(96*x^2+7200*x+75000)*ln(2)^2+(960*x^2+24000*x+150000)*ln(2)+64*x^3+2400*x^2+30000*x+125000,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{4 x^{2}}+\left(-4 \ln \left(2\right)^{2}-40 \ln \left(2\right)-100\right) {\mathrm e}^{3 x^{2}}+\left(320 \ln \left(2\right)+800+32 \ln \left(2\right)^{2}\right) x^{3}+\left(6 \ln \left(2\right)^{4}+120 \ln \left(2\right)^{3}+900 \ln \left(2\right)^{2}+3000 \ln \left(2\right)+3750\right) {\mathrm e}^{2 x^{2}}+\left(24 \ln \left(2\right)^{4}+480 \ln \left(2\right)^{3}+3600 \ln \left(2\right)^{2}+12000 \ln \left(2\right)+15000\right) x^{2}+\left(-62500-1500 \ln \left(2\right)^{4}-37500 \ln \left(2\right)^{2}-10000 \ln \left(2\right)^{3}-75000 \ln \left(2\right)-4 \ln \left(2\right)^{6}-120 \ln \left(2\right)^{5}\right) {\mathrm e}^{x^{2}}+\left(125000+3000 \ln \left(2\right)^{4}+75000 \ln \left(2\right)^{2}+20000 \ln \left(2\right)^{3}+150000 \ln \left(2\right)+8 \ln \left(2\right)^{6}+240 \ln \left(2\right)^{5}\right) x +\left(24 \ln \left(2\right)^{2}+240 \ln \left(2\right)+600\right) x \,{\mathrm e}^{2 x^{2}}+\left(-480 \ln \left(2\right)-1200-48 \ln \left(2\right)^{2}\right) x^{2} {\mathrm e}^{x^{2}}+\left(-24 \ln \left(2\right)^{4}-480 \ln \left(2\right)^{3}-3600 \ln \left(2\right)^{2}-12000 \ln \left(2\right)-15000\right) x \,{\mathrm e}^{x^{2}}+16 x^{4}+24 \,{\mathrm e}^{2 x^{2}} x^{2}-32 x^{3} {\mathrm e}^{x^{2}}-8 x \,{\mathrm e}^{3 x^{2}}$&$285$\\ risch&${\mathrm e}^{4 x^{2}}+\left(-4 \ln \left(2\right)^{2}-40 \ln \left(2\right)-8 x -100\right) {\mathrm e}^{3 x^{2}}+\left(6 \ln \left(2\right)^{4}+120 \ln \left(2\right)^{3}+24 x \ln \left(2\right)^{2}+900 \ln \left(2\right)^{2}+240 x \ln \left(2\right)+24 x^{2}+3000 \ln \left(2\right)+600 x +3750\right) {\mathrm e}^{2 x^{2}}+\left(-4 \ln \left(2\right)^{6}-120 \ln \left(2\right)^{5}-24 x \ln \left(2\right)^{4}-1500 \ln \left(2\right)^{4}-480 x \ln \left(2\right)^{3}-48 x^{2} \ln \left(2\right)^{2}-10000 \ln \left(2\right)^{3}-3600 x \ln \left(2\right)^{2}-480 x^{2} \ln \left(2\right)-32 x^{3}-37500 \ln \left(2\right)^{2}-12000 x \ln \left(2\right)-1200 x^{2}-75000 \ln \left(2\right)-15000 x -62500\right) {\mathrm e}^{x^{2}}+8 x \ln \left(2\right)^{6}+240 x \ln \left(2\right)^{5}+24 x^{2} \ln \left(2\right)^{4}+3000 x \ln \left(2\right)^{4}+480 x^{2} \ln \left(2\right)^{3}+20000 x \ln \left(2\right)^{3}+32 x^{3} \ln \left(2\right)^{2}+3600 x^{2} \ln \left(2\right)^{2}+75000 x \ln \left(2\right)^{2}+320 x^{3} \ln \left(2\right)+12000 x^{2} \ln \left(2\right)+150000 x \ln \left(2\right)+16 x^{4}+800 x^{3}+15000 x^{2}+125000 x$&$285$\\ default&$125000 x +24 x^{2} \ln \left(2\right)^{4}-1200 x^{2} {\mathrm e}^{x^{2}}+3750 \,{\mathrm e}^{2 x^{2}}-12000 x \ln \left(2\right) {\mathrm e}^{x^{2}}-62500 \,{\mathrm e}^{x^{2}}+16 x^{4}+800 x^{3}+15000 x^{2}+480 x^{2} \ln \left(2\right)^{3}-8 x \,{\mathrm e}^{3 x^{2}}+20000 x \ln \left(2\right)^{3}+8 x \ln \left(2\right)^{6}-75000 \ln \left(2\right) {\mathrm e}^{x^{2}}+3000 x \ln \left(2\right)^{4}-32 x^{3} {\mathrm e}^{x^{2}}+32 x^{3} \ln \left(2\right)^{2}+600 x \,{\mathrm e}^{2 x^{2}}+75000 x \ln \left(2\right)^{2}-15000 \,{\mathrm e}^{x^{2}} x +3600 x^{2} \ln \left(2\right)^{2}+150000 x \ln \left(2\right)+12000 x^{2} \ln \left(2\right)+320 x^{3} \ln \left(2\right)-100 \,{\mathrm e}^{3 x^{2}}+{\mathrm e}^{4 x^{2}}+240 x \ln \left(2\right)^{5}-37500 \ln \left(2\right)^{2} {\mathrm e}^{x^{2}}+24 \,{\mathrm e}^{2 x^{2}} x^{2}+240 \,{\mathrm e}^{2 x^{2}} x \ln \left(2\right)+24 \,{\mathrm e}^{2 x^{2}} x \ln \left(2\right)^{2}-480 \ln \left(2\right) {\mathrm e}^{x^{2}} x^{2}-3600 \ln \left(2\right)^{2} {\mathrm e}^{x^{2}} x -10000 \,{\mathrm e}^{x^{2}} \ln \left(2\right)^{3}-1500 \,{\mathrm e}^{x^{2}} \ln \left(2\right)^{4}-120 \ln \left(2\right)^{5} {\mathrm e}^{x^{2}}-4 \ln \left(2\right)^{6} {\mathrm e}^{x^{2}}-480 \,{\mathrm e}^{x^{2}} x \ln \left(2\right)^{3}-24 \,{\mathrm e}^{x^{2}} x \ln \left(2\right)^{4}-48 \ln \left(2\right)^{2} {\mathrm e}^{x^{2}} x^{2}-40 \ln \left(2\right) {\mathrm e}^{3 x^{2}}-4 \ln \left(2\right)^{2} {\mathrm e}^{3 x^{2}}+3000 \,{\mathrm e}^{2 x^{2}} \ln \left(2\right)+900 \,{\mathrm e}^{2 x^{2}} \ln \left(2\right)^{2}+120 \ln \left(2\right)^{3} {\mathrm e}^{2 x^{2}}+6 \ln \left(2\right)^{4} {\mathrm e}^{2 x^{2}}$&$408$\\ \hline \end{longtable}"," ",0,"exp(x^2)^4+(-4*ln(2)^2-40*ln(2)-100)*exp(x^2)^3+(320*ln(2)+800+32*ln(2)^2)*x^3+(6*ln(2)^4+120*ln(2)^3+900*ln(2)^2+3000*ln(2)+3750)*exp(x^2)^2+(24*ln(2)^4+480*ln(2)^3+3600*ln(2)^2+12000*ln(2)+15000)*x^2+(-62500-1500*ln(2)^4-37500*ln(2)^2-10000*ln(2)^3-75000*ln(2)-4*ln(2)^6-120*ln(2)^5)*exp(x^2)+(125000+3000*ln(2)^4+75000*ln(2)^2+20000*ln(2)^3+150000*ln(2)+8*ln(2)^6+240*ln(2)^5)*x+(24*ln(2)^2+240*ln(2)+600)*x*exp(x^2)^2+(-480*ln(2)-1200-48*ln(2)^2)*x^2*exp(x^2)+(-24*ln(2)^4-480*ln(2)^3-3600*ln(2)^2-12000*ln(2)-15000)*x*exp(x^2)+16*x^4+24*x^2*exp(x^2)^2-32*x^3*exp(x^2)-8*exp(x^2)^3*x","B"
9358,1,33,16,0.037000," ","int(((60000000*x^3-27000000*x^2+4050000*x-202500)*ln(x)-100000000*x^4+350400000*x^3-144180000*x^2+20952000*x-1030725)/(625*x^5*ln(x)^2+6050*x^5*ln(x)+14641*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4000000 x^{4}-2400000 x^{3}+540000 x^{2}-54000 x +2025}{x^{4} \left(121+25 \ln \left(x \right)\right)}$&$33$\\ risch&$\frac{4000000 x^{4}-2400000 x^{3}+540000 x^{2}-54000 x +2025}{x^{4} \left(121+25 \ln \left(x \right)\right)}$&$34$\\ \hline \end{longtable}"," ",0,"(4000000*x^4-2400000*x^3+540000*x^2-54000*x+2025)/x^4/(121+25*ln(x))","A"
9359,1,65,27,0.596000," ","int(((((10*x^2*exp(5)-20*x^2-90*x)*exp(x)-2*x*exp(5)+4*x+18)*ln(-1/3*x*exp(5)+2/3*x+3)^2+(2*x*exp(5)-4*x)*ln(-1/3*x*exp(5)+2/3*x+3))*exp(5*exp(x))^2+(((50*x^2*exp(5)-100*x^2-450*x)*exp(x)-20*x*exp(5)+40*x+180)*ln(-1/3*x*exp(5)+2/3*x+3)^2+(20*x*exp(5)-40*x)*ln(-1/3*x*exp(5)+2/3*x+3))*exp(5*exp(x))+(-50*x*exp(5)+100*x+450)*ln(-1/3*x*exp(5)+2/3*x+3)^2+(50*x*exp(5)-100*x)*ln(-1/3*x*exp(5)+2/3*x+3))/(x^4*exp(5)-2*x^4-9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 \ln \left(-\frac{x \,{\mathrm e}^{5}}{3}+\frac{2 x}{3}+3\right)^{2}}{x^{2}}+\frac{\ln \left(-\frac{x \,{\mathrm e}^{5}}{3}+\frac{2 x}{3}+3\right)^{2} {\mathrm e}^{10 \,{\mathrm e}^{x}}}{x^{2}}+\frac{10 \ln \left(-\frac{x \,{\mathrm e}^{5}}{3}+\frac{2 x}{3}+3\right)^{2} {\mathrm e}^{5 \,{\mathrm e}^{x}}}{x^{2}}$&$65$\\ \hline \end{longtable}"," ",0,"25/x^2*ln(-1/3*x*exp(5)+2/3*x+3)^2+1/x^2*ln(-1/3*x*exp(5)+2/3*x+3)^2*exp(10*exp(x))+10/x^2*ln(-1/3*x*exp(5)+2/3*x+3)^2*exp(5*exp(x))","B"
9360,1,26,21,0.086000," ","int(((8*x^2-80*x-40)*ln(5)-48*x^2)/((x^2-10*x+25)*ln(5)^2+(2*x^3-20*x^2+50*x)*ln(5)+x^4-10*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-8 \ln \left(5\right)+48\right) x +40 \ln \left(5\right)}{\left(x -5\right) \left(\ln \left(5\right)+x \right)}$&$26$\\ gosper&$-\frac{8 \left(x \ln \left(5\right)-5 \ln \left(5\right)-6 x \right)}{x \ln \left(5\right)+x^{2}-5 \ln \left(5\right)-5 x}$&$32$\\ risch&$\frac{\left(-8 \ln \left(5\right)+48\right) x +40 \ln \left(5\right)}{x \ln \left(5\right)+x^{2}-5 \ln \left(5\right)-5 x}$&$32$\\ default&$-\frac{8 \ln \left(5\right) \left(\ln \left(5\right)-1\right)}{\left(5+\ln \left(5\right)\right) \left(\ln \left(5\right)+x \right)}+\frac{240}{\left(5+\ln \left(5\right)\right) \left(x -5\right)}$&$35$\\ \hline \end{longtable}"," ",0,"((-8*ln(5)+48)*x+40*ln(5))/(x-5)/(ln(5)+x)","A"
9361,1,12,13,0.055000," ","int(((8*x-8)*ln(x-1)-8*x+32)/(x^3-9*x^2+24*x-16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{8 \ln \left(x -1\right)}{x -4}$&$12$\\ risch&$-\frac{8 \ln \left(x -1\right)}{x -4}$&$12$\\ derivativedivides&$-\frac{8 \ln \left(x -1\right) \left(x -1\right)}{3 \left(x -4\right)}+\frac{8 \ln \left(x -1\right)}{3}$&$22$\\ default&$-\frac{8 \ln \left(x -1\right) \left(x -1\right)}{3 \left(x -4\right)}+\frac{8 \ln \left(x -1\right)}{3}$&$22$\\ \hline \end{longtable}"," ",0,"-8*ln(x-1)/(x-4)","A"
9362,1,12,15,0.039000," ","int(1/6*(-exp(ln(-11/5*x)+2)+6*exp(x)*x+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{11 \,{\mathrm e}^{2}}{30}+\frac{1}{6}\right) x +{\mathrm e}^{x}$&$12$\\ risch&$\frac{11 \,{\mathrm e}^{2} x}{30}+\frac{x}{6}+{\mathrm e}^{x}$&$12$\\ default&${\mathrm e}^{x}+\frac{x}{6}-\frac{{\mathrm e}^{\ln \left(-\frac{11 x}{5}\right)+2}}{6}$&$16$\\ \hline \end{longtable}"," ",0,"(11/30*exp(2)+1/6)*x+exp(x)","A"
9363,1,72,26,0.056000," ","int((((-4*exp(4/x)+4*x^2)*exp(x)+x^2)*ln(x)^2+((-40*exp(4/x)+39*x^2)*exp(x)+10*x^2)*ln(x)+(-100*exp(4/x)+96*x^2)*exp(x)+25*x^2)/(((x^2*exp(4/x)+4*x^3)*exp(x)-x^2)*ln(x)^2+((10*x^2*exp(4/x)+39*x^3)*exp(x)-10*x^2)*ln(x)+(25*x^2*exp(4/x)+95*x^3)*exp(x)-25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{\frac{4}{x}}+\left(4 \,{\mathrm e}^{x} x -1\right) {\mathrm e}^{-x}\right)+\ln \left(\ln \left(x \right)+\frac{19 \,{\mathrm e}^{x} x +5 \,{\mathrm e}^{\frac{x^{2}+4}{x}}-5}{4 \,{\mathrm e}^{x} x +{\mathrm e}^{\frac{x^{2}+4}{x}}-1}\right)-\ln \left(5+\ln \left(x \right)\right)$&$72$\\ \hline \end{longtable}"," ",0,"ln(exp(4/x)+(4*exp(x)*x-1)*exp(-x))+ln(ln(x)+(19*exp(x)*x+5*exp(1/x*(x^2+4))-5)/(4*exp(x)*x+exp(1/x*(x^2+4))-1))-ln(5+ln(x))","B"
9364,1,19,20,0.603000," ","int(((64*x^2+64*x+16)*ln(x)^5+(4*x^3+3*x^2)*ln(x)-8*x^3-4*x^2)/(64*x^2+64*x+16)/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x^{3}}{16 \left(2 x +1\right) \ln \left(x \right)^{4}}$&$19$\\ norman&$\frac{x \ln \left(x \right)^{4}+\frac{x^{3}}{16}+2 x^{2} \ln \left(x \right)^{4}}{\left(2 x +1\right) \ln \left(x \right)^{4}}$&$34$\\ \hline \end{longtable}"," ",0,"x+1/16*x^3/(2*x+1)/ln(x)^4","A"
9365,1,23,23,0.035000," ","int(((4*x^3+20*x^2+25*x)*exp(-x+14)*ln(x)^2+8*x*ln(x)+8*x+20)/(4*x^3+20*x^2+25*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{-x +14}-\frac{4}{\left(5+2 x \right) \ln \left(x \right)}$&$23$\\ \hline \end{longtable}"," ",0,"-exp(-x+14)-4/(5+2*x)/ln(x)","A"
9366,1,33,21,0.117000," ","int((x^2*exp(4)*exp(x)^2+(4*x-4)*exp(4)*exp(x)+16*exp(4))/((x^3-3*x^2)*exp(x)^2+(8*x^2-20*x)*exp(x)+16*x-32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{4} \ln \left({\mathrm e}^{x} x^{2}-3 \,{\mathrm e}^{x} x +4 x -8\right)-{\mathrm e}^{4} \ln \left({\mathrm e}^{x} x +4\right)$&$33$\\ risch&${\mathrm e}^{4} \ln \left(x -3\right)+{\mathrm e}^{4} \ln \left({\mathrm e}^{x}+\frac{4 x -8}{x \left(x -3\right)}\right)-{\mathrm e}^{4} \ln \left({\mathrm e}^{x}+\frac{4}{x}\right)$&$42$\\ \hline \end{longtable}"," ",0,"exp(4)*ln(exp(x)*x^2-3*exp(x)*x+4*x-8)-exp(4)*ln(exp(x)*x+4)","A"
9367,1,9,18,0.028000," ","int(1/15*(-324*x-64)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{108 x}{5}-\frac{64 \ln \left(x \right)}{15}$&$9$\\ norman&$-\frac{108 x}{5}-\frac{64 \ln \left(x \right)}{15}$&$9$\\ risch&$-\frac{108 x}{5}-\frac{64 \ln \left(x \right)}{15}$&$9$\\ \hline \end{longtable}"," ",0,"-108/5*x-64/15*ln(x)","A"
9368,1,9,10,0.026000," ","int(-15/x^2/exp(3/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 \,{\mathrm e}^{-\frac{3}{x}}$&$9$\\ gosper&$-5 \,{\mathrm e}^{-\frac{3}{x}}$&$11$\\ derivativedivides&$-5 \,{\mathrm e}^{-\frac{3}{x}}$&$11$\\ default&$-5 \,{\mathrm e}^{-\frac{3}{x}}$&$11$\\ norman&$-5 \,{\mathrm e}^{-\frac{3}{x}}$&$11$\\ meijerg&$5-5 \,{\mathrm e}^{-\frac{3}{x}}$&$11$\\ \hline \end{longtable}"," ",0,"-5*exp(-3/x)","A"
9369,1,85,34,0.562000," ","int(((((1-x)*exp(1)+2*x^2-2*x)*exp(x)^2+(4*x-4)*exp(1)-4*x^2+6*x-2)*ln(1-x)+((2*x^2-6*x+3)*exp(1)+5*x^2-4*x)*exp(x)^2+(-4*x^2+18*x-16)*exp(1)-8*x^2+14*x-4)/(x-1)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\left(x \,{\mathrm e}^{2 x +1}-{\mathrm e}^{2 x} x^{2}+2 \,{\mathrm e}-2 x \right) {\mathrm e}^{-2 x} \ln \left(1-x \right)+\left(x^{2} {\mathrm e}^{2 x +1}-3 x \,{\mathrm e}^{2 x +1}+2 \,{\mathrm e}^{2 x} x^{2}+2 x \,{\mathrm e}-6 \,{\mathrm e}+4 x \right) {\mathrm e}^{-2 x}$&$85$\\ norman&$\left(\left(2 \,{\mathrm e}+4\right) x +\left({\mathrm e}+2\right) x^{2} {\mathrm e}^{2 x}+{\mathrm e}^{2 x} \ln \left(1-x \right) x^{2}+2 x \ln \left(1-x \right)-2 \,{\mathrm e} \ln \left(1-x \right)-3 x \,{\mathrm e} \,{\mathrm e}^{2 x}-{\mathrm e} \,{\mathrm e}^{2 x} \ln \left(1-x \right) x -6 \,{\mathrm e}\right) {\mathrm e}^{-2 x}$&$88$\\ default&$\left(\left(2 \,{\mathrm e}+4\right) x -2 \,{\mathrm e} \ln \left(1-x \right)+2 x \ln \left(1-x \right)-6 \,{\mathrm e}\right) {\mathrm e}^{-2 x}-{\mathrm e} \ln \left(1-x \right) x +{\mathrm e} \ln \left(1-x \right)-3 x \,{\mathrm e}-{\mathrm e}-2 \left(1-x \right) \ln \left(1-x \right)+\frac{3}{2}+\ln \left(1-x \right) \left(1-x \right)^{2}+2 x^{2}+x^{2} {\mathrm e}-\ln \left(x -1\right) {\mathrm e}+\ln \left(x -1\right)$&$119$\\ \hline \end{longtable}"," ",0,"-(x*exp(2*x+1)-exp(2*x)*x^2+2*exp(1)-2*x)*exp(-2*x)*ln(1-x)+(x^2*exp(2*x+1)-3*x*exp(2*x+1)+2*exp(2*x)*x^2+2*x*exp(1)-6*exp(1)+4*x)*exp(-2*x)","B"
9370,1,19,17,0.242000," ","int(1/3*(2*ln(x)+2)*exp(1/3*x*ln(x)/exp(exp(5)^2+3/2*exp(5)+9/16))^2/exp(exp(5)^2+3/2*exp(5)+9/16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\frac{2 x \,{\mathrm e}^{-{\mathrm e}^{10}-\frac{3 \,{\mathrm e}^{5}}{2}-\frac{9}{16}}}{3}}$&$19$\\ norman&${\mathrm e}^{x \,{\mathrm e}^{-{\mathrm e}^{10}-\frac{3 \,{\mathrm e}^{5}}{2}-\frac{9}{16}} \ln \left(x^{\frac{2}{3}}\right)}$&$22$\\ \hline \end{longtable}"," ",0,"(x^(1/3*x*exp(-exp(10)-3/2*exp(5)-9/16)))^2","A"
9371,1,51,28,0.092000," ","int(((2*x^2*ln(x)+4*x^3-78*x^2-60)*exp((x^2*ln(x)+x^3-40*x^2+30)/x)^2+(2*x^3*ln(x)+4*x^4-78*x^3+2*x^2-60*x)*exp((x^2*ln(x)+x^3-40*x^2+30)/x)+2*x^3-x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+2 x^{x} {\mathrm e}^{\frac{x^{3}-40 x^{2}+30}{x}} x +x^{2 x} {\mathrm e}^{\frac{2 x^{3}-80 x^{2}+60}{x}}-x$&$51$\\ \hline \end{longtable}"," ",0,"x^2+2*x^x*exp((x^3-40*x^2+30)/x)*x+(x^x)^2*exp(2*(x^3-40*x^2+30)/x)-x","A"
9372,1,27,25,0.146000," ","int(((-2*x*exp(1)^2*exp(x)+(2*x+1)*exp(1)^2)*exp(x-exp(x))^2+50*x)/(4*x*exp(1)^2*exp(x-exp(x))^2+100*x^2-400),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(4 x \,{\mathrm e}^{2} {\mathrm e}^{-2 \,{\mathrm e}^{x}+2 x}+100 x^{2}-400\right)}{4}$&$27$\\ risch&$\frac{\ln \left(x \right)}{4}+\frac{\ln \left({\mathrm e}^{-2 \,{\mathrm e}^{x}+2 x}+\frac{25 \left(x^{2}-4\right) {\mathrm e}^{-2}}{x}\right)}{4}$&$31$\\ \hline \end{longtable}"," ",0,"1/4*ln(4*x*exp(1)^2*exp(x-exp(x))^2+100*x^2-400)","A"
9373,1,23,23,0.037000," ","int(((8*x^2*ln(x)^2-48*x*ln(x)+72)*ln(5+x)+(-4*x^3-20*x^2)*ln(x)+4*x^3+44*x^2+120*x)/((x^3+5*x^2)*ln(x)^2+(-6*x^2-30*x)*ln(x)+9*x+45),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(5+x \right)^{2}-\frac{4 x^{2}}{x \ln \left(x \right)-3}$&$23$\\ risch&$4 \ln \left(5+x \right)^{2}-\frac{4 x^{2}}{x \ln \left(x \right)-3}$&$23$\\ \hline \end{longtable}"," ",0,"4*ln(5+x)^2-4*x^2/(x*ln(x)-3)","A"
9374,1,21,23,0.077000," ","int((16*x+8)*exp(4)^2*ln(5)/(exp(4)^4+(32*x^2+32*x+8)*exp(4)^2+256*x^4+512*x^3+384*x^2+128*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{8} \ln \left(5\right)}{2 \left({\mathrm e}^{8}+16 x^{2}+16 x +4\right)}$&$21$\\ gosper&$-\frac{{\mathrm e}^{8} \ln \left(5\right)}{2 \left({\mathrm e}^{8}+16 x^{2}+16 x +4\right)}$&$25$\\ norman&$-\frac{{\mathrm e}^{8} \ln \left(5\right)}{2 \left({\mathrm e}^{8}+16 x^{2}+16 x +4\right)}$&$25$\\ \hline \end{longtable}"," ",0,"-1/2*exp(8)*ln(5)/(exp(8)+16*x^2+16*x+4)","A"
9375,1,28,24,0.117000," ","int(((-200*x^4-240*x^3+216*x^2-16*x-48)*ln(x)+50*x^4+30*x^3-378*x^2-470*x-48)/(625*x^9-1125*x^8-11475*x^7+10255*x^6+79731*x^5+5697*x^4-200033*x^3-181611*x^2-33264*x-1728),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 x \ln \left(x \right)}{\left(25 x^{3}+90 x^{2}+81 x +8\right) \left(x -3\right)^{2}}$&$28$\\ risch&$\frac{2 x \ln \left(x \right)}{25 x^{5}-60 x^{4}-234 x^{3}+332 x^{2}+681 x +72}$&$33$\\ default&$\frac{\left(\munderset{\textit{\_R} =\RootOf \left(25 \textit{\_Z}^{3}+90 \textit{\_Z}^{2}+81 \textit{\_Z} +8\right)}{\sum}\frac{\left(4050 \textit{\_R}^{2}+21305 \textit{\_R} +41232\right) \ln \left(x -\textit{\_R} \right)}{25 \textit{\_R}^{2}+60 \textit{\_R} +27}\right)}{565068}-\frac{\ln \left(x \right) x \left(x -6\right)}{2604 \left(x -3\right)^{2}}-\frac{269 \ln \left(x \right) x}{565068 \left(x -3\right)}+\frac{\left(\munderset{\textit{\_R} =\RootOf \left(25 \textit{\_Z}^{3}+90 \textit{\_Z}^{2}+81 \textit{\_Z} +8\right)}{\sum}\frac{\left(-4050 \textit{\_R}^{2}-21305 \textit{\_R} -41232\right) \ln \left(x -\textit{\_R} \right)}{25 \textit{\_R}^{2}+60 \textit{\_R} +27}\right)}{565068}+\frac{\ln \left(x \right) x \left(4050 x^{2}+21305 x +41232\right)}{4708900 x^{3}+16952040 x^{2}+15256836 x +1506848}$&$157$\\ \hline \end{longtable}"," ",0,"2*x*ln(x)/(25*x^3+90*x^2+81*x+8)/(x-3)^2","A"
9376,1,29,18,0.031000," ","int(1/25*(75*ln(x)^4-10*x*ln(x)^3+(-10*x-950)*ln(x)^2+(2*x^2+190*x)*ln(x)-x^2-190*x-9025)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{3}-\frac{2 x \ln \left(x \right)}{5}-38 \ln \left(x \right)+\frac{x^{2}+190 x +9025}{25 \ln \left(x \right)}$&$29$\\ norman&$\frac{361+\ln \left(x \right)^{4}-38 \ln \left(x \right)^{2}+\frac{38 x}{5}+\frac{x^{2}}{25}-\frac{2 x \ln \left(x \right)^{2}}{5}}{\ln \left(x \right)}$&$33$\\ default&$\ln \left(x \right)^{3}-\frac{2 x \ln \left(x \right)}{5}-38 \ln \left(x \right)+\frac{x^{2}}{25 \ln \left(x \right)}+\frac{38 x}{5 \ln \left(x \right)}+\frac{361}{\ln \left(x \right)}$&$37$\\ \hline \end{longtable}"," ",0,"ln(x)^3-2/5*x*ln(x)-38*ln(x)+1/25*(x^2+190*x+9025)/ln(x)","A"
9377,1,62,27,0.041000," ","int(1/2*(ln(3)+1)*ln(2)*ln(x)^2+1/2*(-4*ln(3)-4)*ln(2)*ln(x)+1/2*((3-2*x)*ln(3)-10*x+3)*ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-\frac{\ln \left(2\right) \ln \left(3\right)}{2}-\frac{5 \ln \left(2\right)}{2}\right) x^{2}+\left(\frac{9 \ln \left(2\right) \ln \left(3\right)}{2}+\frac{9 \ln \left(2\right)}{2}\right) x +\left(-3 \ln \left(2\right) \ln \left(3\right)-3 \ln \left(2\right)\right) x \ln \left(x \right)+\left(\frac{\ln \left(2\right) \ln \left(3\right)}{2}+\frac{\ln \left(2\right)}{2}\right) x \ln \left(x \right)^{2}$&$62$\\ default&$-\frac{\ln \left(2\right) \ln \left(3\right) x^{2}}{2}+\frac{9 x \ln \left(2\right) \ln \left(3\right)}{2}-\frac{5 x^{2} \ln \left(2\right)}{2}+\frac{9 x \ln \left(2\right)}{2}-3 \ln \left(2\right) \ln \left(3\right) \ln \left(x \right) x -3 x \ln \left(2\right) \ln \left(x \right)+\frac{\ln \left(2\right) \ln \left(3\right) \ln \left(x \right)^{2} x}{2}+\frac{\ln \left(2\right) \ln \left(x \right)^{2} x}{2}$&$66$\\ risch&$-\frac{\ln \left(2\right) \ln \left(3\right) x^{2}}{2}+\frac{9 x \ln \left(2\right) \ln \left(3\right)}{2}-\frac{5 x^{2} \ln \left(2\right)}{2}+\frac{9 x \ln \left(2\right)}{2}-3 \ln \left(2\right) \ln \left(3\right) \ln \left(x \right) x -3 x \ln \left(2\right) \ln \left(x \right)+\frac{\ln \left(2\right) \ln \left(3\right) \ln \left(x \right)^{2} x}{2}+\frac{\ln \left(2\right) \ln \left(x \right)^{2} x}{2}$&$66$\\ \hline \end{longtable}"," ",0,"(-1/2*ln(2)*ln(3)-5/2*ln(2))*x^2+(9/2*ln(2)*ln(3)+9/2*ln(2))*x+(-3*ln(2)*ln(3)-3*ln(2))*x*ln(x)+(1/2*ln(2)*ln(3)+1/2*ln(2))*x*ln(x)^2","B"
9378,1,25,21,0.031000," ","int(((-9*x*exp(1/9*(x^2+6*x-9)/x)+63*x)*ln(-exp(1/9*(x^2+6*x-9)/x)+7)*ln(ln(-exp(1/9*(x^2+6*x-9)/x)+7))+(x^2+9)*exp(1/9*(x^2+6*x-9)/x))/(9*x^3*exp(1/9*(x^2+6*x-9)/x)-63*x^3)/ln(-exp(1/9*(x^2+6*x-9)/x)+7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\ln \left(-{\mathrm e}^{\frac{x^{2}+6 x -9}{9 x}}+7\right)\right)}{x}$&$25$\\ \hline \end{longtable}"," ",0,"1/x*ln(ln(-exp(1/9*(x^2+6*x-9)/x)+7))","A"
9379,1,13,22,0.042000," ","int((4*x+2)/(5*x^4+10*x^3+5*x^2)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \,{\mathrm e}^{-2}}{5 x \left(x +1\right)}$&$13$\\ gosper&$-\frac{2 \,{\mathrm e}^{-2}}{5 x \left(x +1\right)}$&$15$\\ norman&$-\frac{2 \,{\mathrm e}^{-2}}{5 x \left(x +1\right)}$&$15$\\ default&$\frac{2 \,{\mathrm e}^{-2} \left(\frac{1}{x +1}-\frac{1}{x}\right)}{5}$&$18$\\ \hline \end{longtable}"," ",0,"-2/5/x*exp(-2)/(x+1)","A"
9380,1,15,16,0.032000," ","int((45*ln(5)+30*x-15)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$15 x \left(x +3 \ln \left(5\right)-1\right) {\mathrm e}^{-2}$&$15$\\ default&${\mathrm e}^{-2} \left(45 x \ln \left(5\right)+15 x^{2}-15 x \right)$&$20$\\ risch&$45 \ln \left(5\right) {\mathrm e}^{-2} x +15 \,{\mathrm e}^{-2} x^{2}-15 x \,{\mathrm e}^{-2}$&$21$\\ norman&$15 \,{\mathrm e}^{-2} x^{2}+15 \left(3 \ln \left(5\right)-1\right) {\mathrm e}^{-2} x$&$24$\\ \hline \end{longtable}"," ",0,"15*x*(x+3*ln(5)-1)/exp(2)","A"
9381,1,36,19,0.024000," ","int(-2/25*x*exp(4)^4-8/5*x*exp(4)^3-12*x*exp(4)^2-40*x*exp(4)-3*x^2-54*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\left(-\frac{{\mathrm e}^{16}}{25}-\frac{4 \,{\mathrm e}^{12}}{5}-6 \,{\mathrm e}^{8}-20 \,{\mathrm e}^{4}-27\right) x^{2}-x^{3}$&$36$\\ gosper&$-\frac{x \left(x \,{\mathrm e}^{16}+20 x \,{\mathrm e}^{12}+150 x \,{\mathrm e}^{8}+500 x \,{\mathrm e}^{4}+25 x^{2}+675 x -25\right)}{25}$&$39$\\ risch&$-\frac{x^{2} {\mathrm e}^{16}}{25}-\frac{4 x^{2} {\mathrm e}^{12}}{5}-6 x^{2} {\mathrm e}^{8}-20 x^{2} {\mathrm e}^{4}-x^{3}-27 x^{2}+x$&$41$\\ default&$-\frac{x^{2} {\mathrm e}^{16}}{25}-\frac{4 x^{2} {\mathrm e}^{12}}{5}-6 x^{2} {\mathrm e}^{8}-20 x^{2} {\mathrm e}^{4}-x^{3}-27 x^{2}+x$&$47$\\ \hline \end{longtable}"," ",0,"x+(-1/25*exp(4)^4-4/5*exp(4)^3-6*exp(4)^2-20*exp(4)-27)*x^2-x^3","A"
9382,1,37,25,0.185000," ","int((-10*exp(x)*x^2-10*x^2+10*x)*exp(-exp(x)+ln(3)-x+5)^2+(-10*exp(x)*x^3-10*x^3+30*x^2)*exp(-exp(x)+ln(3)-x+5)+20*x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$45 \,{\mathrm e}^{-2 \,{\mathrm e}^{x}+10-2 x} x^{2}+30 \,{\mathrm e}^{-{\mathrm e}^{x}+5-x} x^{3}+5 x^{4}$&$37$\\ default&$45 \,{\mathrm e}^{-2 \,{\mathrm e}^{x}+10-2 x} x^{2}+10 \,{\mathrm e}^{-{\mathrm e}^{x}+\ln \left(3\right)-x +5} x^{3}+5 x^{4}$&$43$\\ norman&$45 \,{\mathrm e}^{-2 \,{\mathrm e}^{x}+10-2 x} x^{2}+10 \,{\mathrm e}^{-{\mathrm e}^{x}+\ln \left(3\right)-x +5} x^{3}+5 x^{4}$&$43$\\ \hline \end{longtable}"," ",0,"45*exp(-2*exp(x)+10-2*x)*x^2+30*exp(-exp(x)+5-x)*x^3+5*x^4","A"
9383,1,48,27,0.042000," ","int((((x*exp(1)+2*x)*exp(x)+(3*x^3-4*x^2-x)*exp(1)+6*x^3-8*x^2-2*x)*ln(x)^2+exp(2))/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x +\left({\mathrm e}+2\right) {\mathrm e}^{x}-\frac{{\mathrm e}^{2}}{\ln \left(x \right)}-4 x^{2}+2 x^{3}-2 x^{2} {\mathrm e}+x^{3} {\mathrm e}-x \,{\mathrm e}$&$48$\\ risch&$x^{3} {\mathrm e}-2 x^{2} {\mathrm e}+2 x^{3}-x \,{\mathrm e}+{\mathrm e}^{x +1}-4 x^{2}-2 x +2 \,{\mathrm e}^{x}-\frac{{\mathrm e}^{2}}{\ln \left(x \right)}$&$49$\\ \hline \end{longtable}"," ",0,"-2*x+(exp(1)+2)*exp(x)-exp(2)/ln(x)-4*x^2+2*x^3-2*x^2*exp(1)+x^3*exp(1)-x*exp(1)","A"
9384,1,29,27,0.108000," ","int(1/3*(-x*ln(2*exp((x^2+1)/x))-2*x^4+7*x^2-1)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(2 \,{\mathrm e}^{\frac{x^{2}+1}{x}}\right)}{3 x}+2 \ln \left(x \right)-\frac{x^{2}}{3}$&$29$\\ norman&$\frac{-\frac{x^{4}}{3}+\frac{x \ln \left(2 \,{\mathrm e}^{\frac{x^{2}+1}{x}}\right)}{3}}{x^{2}}+2 \ln \left(x \right)$&$32$\\ risch&$\frac{\ln \left({\mathrm e}^{\frac{x^{2}+1}{x}}\right)}{3 x}+\frac{-2 x^{3}+12 x \ln \left(x \right)+2 \ln \left(2\right)}{6 x}$&$38$\\ \hline \end{longtable}"," ",0,"1/3/x*ln(2*exp((x^2+1)/x))+2*ln(x)-1/3*x^2","A"
9385,1,24,28,0.055000," ","int(((32*x^2-256*x+512)*ln(x)+2*x*exp(-1/(x-4))-2*x^2+16*x-32)*exp(exp(-1/(x-4))+2)^2*exp(4*ln(x)^2)^4/(x^5-8*x^4+16*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{-\frac{1}{x -4}}+4+16 \ln \left(x \right)^{2}}}{x^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"1/x^2*exp(2*exp(-1/(x-4))+4+16*ln(x)^2)","A"
9386,1,64,22,0.439000," ","int(((((-2*x-4)*exp(4)^2+(-8*x-16)*exp(4)-8*x-16)*ln(5)-2*x^4+4*x^3)*ln(((exp(4)^2+4*exp(4)+4)*ln(5)+x^3-x^2)/x^2)+((2*x^2+4*x)*exp(4)^2+(8*x^2+16*x)*exp(4)+8*x^2+16*x)*ln(5)+2*x^5-4*x^4)/((x*exp(4)^2+4*x*exp(4)+4*x)*ln(5)+x^4-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\ln \left(\frac{\left({\mathrm e}^{8}+4 \,{\mathrm e}^{4}+4\right) \ln \left(5\right)+x^{3}-x^{2}}{x^{2}}\right)^{2}-2 x \ln \left(\frac{\left({\mathrm e}^{8}+4 \,{\mathrm e}^{4}+4\right) \ln \left(5\right)+x^{3}-x^{2}}{x^{2}}\right)$&$64$\\ default&\verb|error in gcdex: invalid arguments\|& N/A\\ \hline \end{longtable}"," ",0,"x^2+ln(((exp(4)^2+4*exp(4)+4)*ln(5)+x^3-x^2)/x^2)^2-2*x*ln(((exp(4)^2+4*exp(4)+4)*ln(5)+x^3-x^2)/x^2)","B"
9387,1,36,25,0.067000," ","int((4*exp(5)^2*ln(x)+(3*x-1)*exp(5)^2-x^3*exp(3))/x^5/exp(exp(4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right) {\mathrm e}^{-{\mathrm e}^{4}+10}}{x^{4}}-\frac{\left({\mathrm e}^{7}-x^{2}\right) {\mathrm e}^{3-{\mathrm e}^{4}}}{x^{3}}$&$36$\\ norman&$\frac{{\mathrm e}^{-{\mathrm e}^{4}} {\mathrm e}^{3} x^{3}-{\mathrm e}^{-{\mathrm e}^{4}} {\mathrm e}^{10} x -{\mathrm e}^{-{\mathrm e}^{4}} {\mathrm e}^{10} \ln \left(x \right)}{x^{4}}$&$42$\\ default&${\mathrm e}^{-{\mathrm e}^{4}} \left(\frac{{\mathrm e}^{3}}{x}+4 \,{\mathrm e}^{10} \left(-\frac{\ln \left(x \right)}{4 x^{4}}-\frac{1}{16 x^{4}}\right)-\frac{{\mathrm e}^{10}}{x^{3}}+\frac{{\mathrm e}^{10}}{4 x^{4}}\right)$&$51$\\ \hline \end{longtable}"," ",0,"-1/x^4*ln(x)*exp(-exp(4)+10)-1/x^3*(exp(7)-x^2)*exp(3-exp(4))","A"
9388,1,24,23,0.070000," ","int(((exp(2)*exp(4)^2*exp(x)+3*exp(2))*ln((exp(4)^2*exp(x)+3)/exp(4)^2)^2+(-x*exp(1)*exp(2)-24*exp(1))*exp(4)^2*exp(x))*exp(exp(1)/ln((exp(4)^2*exp(x)+3)/exp(4)^2))/(exp(4)^2*exp(x)+3)/ln((exp(4)^2*exp(x)+3)/exp(4)^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(24+{\mathrm e}^{2} x \right) {\mathrm e}^{\frac{{\mathrm e}}{\ln \left(\left({\mathrm e}^{x +8}+3\right) {\mathrm e}^{-8}\right)}}$&$24$\\ \hline \end{longtable}"," ",0,"(24+exp(2)*x)*exp(exp(1)/ln((exp(x+8)+3)*exp(-8)))","A"
9389,1,19,17,0.626000," ","int((1036324*ln(3)-5196890)/(777243*ln(3)^2+(-6108*x-7772430)*ln(3)+12*x^2+30540*x+19431075),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{2598445}{3}+\frac{518162 \ln \left(3\right)}{3}}{509 \ln \left(3\right)-2 x -2545}$&$19$\\ gosper&$\frac{-\frac{2598445}{3}+\frac{518162 \ln \left(3\right)}{3}}{509 \ln \left(3\right)-2 x -2545}$&$20$\\ default&$-\frac{1036324 \ln \left(3\right)-5196890}{6 \left(-509 \ln \left(3\right)+2 x +2545\right)}$&$20$\\ risch&$\frac{1018 \ln \left(3\right)}{3 \left(\ln \left(3\right)-\frac{2 x}{509}-5\right)}-\frac{5105}{3 \left(\ln \left(3\right)-\frac{2 x}{509}-5\right)}$&$26$\\ meijerg&$-\frac{5105 x}{3 \left(-\frac{509 \ln \left(3\right)}{2}+\frac{2545}{2}\right) \left(1+\frac{2 x}{509 \left(5-\ln \left(3\right)\right)}\right) \left(5-\ln \left(3\right)\right)}+\frac{1018 \ln \left(3\right) x}{3 \left(-\frac{509 \ln \left(3\right)}{2}+\frac{2545}{2}\right) \left(1+\frac{2 x}{509 \left(5-\ln \left(3\right)\right)}\right) \left(5-\ln \left(3\right)\right)}$&$72$\\ \hline \end{longtable}"," ",0,"(-2598445/3+518162/3*ln(3))/(509*ln(3)-2*x-2545)","A"
9390,1,406,21,0.719000," ","int(((16*x^3-40*x^2+100*x-250)*ln(x)-80*x^2-500)/(((8*x^4-60*x^3+150*x^2-125*x)*ln(x)^2+(-80*x^3+400*x^2-500*x)*ln(x)+288*x^4-2160*x^3+5600*x^2-5000*x)*ln(((4*x^2-20*x+25)*ln(x)^2+(-40*x+100)*ln(x)+144*x^2-720*x+1000)/(16*x^2-80*x+100))+(8*x^4-60*x^3+150*x^2-125*x)*ln(2)*ln(x)^2+(-80*x^3+400*x^2-500*x)*ln(2)*ln(x)+(288*x^4-2160*x^3+5600*x^2-5000*x)*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\left(\ln \left(x \right)^{2}+36\right) x^{2}+\left(-5 \ln \left(x \right)^{2}-10 \ln \left(x \right)-180\right) x +\frac{25 \ln \left(x \right)^{2}}{4}+25 \ln \left(x \right)+250\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{\left(x -\frac{5}{2}\right)^{2}}\right) \mathrm{csgn}\left(i \left(\left(\ln \left(x \right)^{2}+36\right) x^{2}+\left(-5 \ln \left(x \right)^{2}-10 \ln \left(x \right)-180\right) x +\frac{25 \ln \left(x \right)^{2}}{4}+25 \ln \left(x \right)+250\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)^{2}+36\right) x^{2}+\left(-5 \ln \left(x \right)^{2}-10 \ln \left(x \right)-180\right) x +\frac{25 \ln \left(x \right)^{2}}{4}+25 \ln \left(x \right)+250\right)}{\left(x -\frac{5}{2}\right)^{2}}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{\left(x -\frac{5}{2}\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)^{2}+36\right) x^{2}+\left(-5 \ln \left(x \right)^{2}-10 \ln \left(x \right)-180\right) x +\frac{25 \ln \left(x \right)^{2}}{4}+25 \ln \left(x \right)+250\right)}{\left(x -\frac{5}{2}\right)^{2}}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\left(\ln \left(x \right)^{2}+36\right) x^{2}+\left(-5 \ln \left(x \right)^{2}-10 \ln \left(x \right)-180\right) x +\frac{25 \ln \left(x \right)^{2}}{4}+25 \ln \left(x \right)+250\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)^{2}+36\right) x^{2}+\left(-5 \ln \left(x \right)^{2}-10 \ln \left(x \right)-180\right) x +\frac{25 \ln \left(x \right)^{2}}{4}+25 \ln \left(x \right)+250\right)}{\left(x -\frac{5}{2}\right)^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)^{2}+36\right) x^{2}+\left(-5 \ln \left(x \right)^{2}-10 \ln \left(x \right)-180\right) x +\frac{25 \ln \left(x \right)^{2}}{4}+25 \ln \left(x \right)+250\right)}{\left(x -\frac{5}{2}\right)^{2}}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)\right) \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x -\frac{5}{2}\right)^{2}\right)^{3}-2 i \ln \left(2\right)-4 i \ln \left(x -\frac{5}{2}\right)\right)}{2}\right)$&$406$\\ \hline \end{longtable}"," ",0,"ln(ln((ln(x)^2+36)*x^2+(-5*ln(x)^2-10*ln(x)-180)*x+25/4*ln(x)^2+25*ln(x)+250)-1/2*I*(Pi*csgn(I/(x-5/2)^2)*csgn(I*((ln(x)^2+36)*x^2+(-5*ln(x)^2-10*ln(x)-180)*x+25/4*ln(x)^2+25*ln(x)+250))*csgn(I/(x-5/2)^2*((ln(x)^2+36)*x^2+(-5*ln(x)^2-10*ln(x)-180)*x+25/4*ln(x)^2+25*ln(x)+250))-Pi*csgn(I/(x-5/2)^2)*csgn(I/(x-5/2)^2*((ln(x)^2+36)*x^2+(-5*ln(x)^2-10*ln(x)-180)*x+25/4*ln(x)^2+25*ln(x)+250))^2-Pi*csgn(I*((ln(x)^2+36)*x^2+(-5*ln(x)^2-10*ln(x)-180)*x+25/4*ln(x)^2+25*ln(x)+250))*csgn(I/(x-5/2)^2*((ln(x)^2+36)*x^2+(-5*ln(x)^2-10*ln(x)-180)*x+25/4*ln(x)^2+25*ln(x)+250))^2+Pi*csgn(I/(x-5/2)^2*((ln(x)^2+36)*x^2+(-5*ln(x)^2-10*ln(x)-180)*x+25/4*ln(x)^2+25*ln(x)+250))^3-Pi*csgn(I*(x-5/2))^2*csgn(I*(x-5/2)^2)+2*Pi*csgn(I*(x-5/2))*csgn(I*(x-5/2)^2)^2-Pi*csgn(I*(x-5/2)^2)^3-2*I*ln(2)-4*I*ln(x-5/2)))","C"
9391,1,22,18,0.041000," ","int(1/8*(16*x^6+16*x^5-280*x^4-184*x^3+1053*x^2+729*x)*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{2} \left(4 x^{2}-4 x -27\right)^{2} {\mathrm e}^{2 x}}{16}$&$22$\\ risch&$\frac{\left(8 x^{6}-16 x^{5}-100 x^{4}+108 x^{3}+\frac{729}{2} x^{2}\right) {\mathrm e}^{2 x}}{8}$&$33$\\ default&$-2 x^{5} {\mathrm e}^{2 x}-\frac{25 \,{\mathrm e}^{2 x} x^{4}}{2}+\frac{27 \,{\mathrm e}^{2 x} x^{3}}{2}+\frac{729 \,{\mathrm e}^{2 x} x^{2}}{16}+x^{6} {\mathrm e}^{2 x}$&$46$\\ norman&$-2 x^{5} {\mathrm e}^{2 x}-\frac{25 \,{\mathrm e}^{2 x} x^{4}}{2}+\frac{27 \,{\mathrm e}^{2 x} x^{3}}{2}+\frac{729 \,{\mathrm e}^{2 x} x^{2}}{16}+x^{6} {\mathrm e}^{2 x}$&$46$\\ meijerg&$\frac{\left(448 x^{6}-1344 x^{5}+3360 x^{4}-6720 x^{3}+10080 x^{2}-10080 x +5040\right) {\mathrm e}^{2 x}}{448}-\frac{\left(-192 x^{5}+480 x^{4}-960 x^{3}+1440 x^{2}-1440 x +720\right) {\mathrm e}^{2 x}}{192}-\frac{7 \left(80 x^{4}-160 x^{3}+240 x^{2}-240 x +120\right) {\mathrm e}^{2 x}}{32}+\frac{23 \left(-32 x^{3}+48 x^{2}-48 x +24\right) {\mathrm e}^{2 x}}{64}+\frac{351 \left(12 x^{2}-12 x +6\right) {\mathrm e}^{2 x}}{64}-\frac{729 \left(-4 x +2\right) {\mathrm e}^{2 x}}{64}$&$143$\\ \hline \end{longtable}"," ",0,"1/16*x^2*(4*x^2-4*x-27)^2*exp(x)^2","A"
9392,1,21,20,0.042000," ","int((((121*x^3+154*x^2+71*x+7)*exp(1/(11*x^2+7*x))+242*x^3+308*x^2+98*x)*ln(x)+(121*x^3+154*x^2+49*x)*exp(1/(11*x^2+7*x))+242*x^3+308*x^2+98*x)/((121*x^3+154*x^2+49*x)*exp(1/(11*x^2+7*x))^2+(484*x^3+616*x^2+196*x)*exp(1/(11*x^2+7*x))+484*x^3+616*x^2+196*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right) x}{2+{\mathrm e}^{\frac{1}{x \left(11 x +7\right)}}}$&$21$\\ \hline \end{longtable}"," ",0,"ln(x)/(2+exp(1/x/(11*x+7)))*x","A"
9393,1,149,30,0.216000," ","int(((-3*x^2*ln(5)^2-18*x*ln(5)-27)*exp(x)+6*ln(5))/((x^2*ln(5)^2+6*x*ln(5)+9)*exp(x)+10*x^2*ln(5)^2+62*x*ln(5)+96)/ln(((x*ln(5)+3)*exp(x)+10*x*ln(5)+32)/(x*ln(5)+3))/ln(ln(((x*ln(5)+3)*exp(x)+10*x*ln(5)+32)/(x*ln(5)+3)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3}{\ln \left(-\ln \left(x \ln \left(5\right)+3\right)+\ln \left(\ln \left(5\right) \left({\mathrm e}^{x}+10\right) x +3 \,{\mathrm e}^{x}+32\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(\ln \left(5\right) \left({\mathrm e}^{x}+10\right) x +3 \,{\mathrm e}^{x}+32\right)}{x \ln \left(5\right)+3}\right) \left(-\mathrm{csgn}\left(\frac{i \left(\ln \left(5\right) \left({\mathrm e}^{x}+10\right) x +3 \,{\mathrm e}^{x}+32\right)}{x \ln \left(5\right)+3}\right)+\mathrm{csgn}\left(\frac{i}{x \ln \left(5\right)+3}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(\ln \left(5\right) \left({\mathrm e}^{x}+10\right) x +3 \,{\mathrm e}^{x}+32\right)}{x \ln \left(5\right)+3}\right)+\mathrm{csgn}\left(i \left(\ln \left(5\right) \left({\mathrm e}^{x}+10\right) x +3 \,{\mathrm e}^{x}+32\right)\right)\right)}{2}\right)}$&$149$\\ \hline \end{longtable}"," ",0,"3/ln(-ln(x*ln(5)+3)+ln(ln(5)*(exp(x)+10)*x+3*exp(x)+32)-1/2*I*Pi*csgn(I/(x*ln(5)+3)*(ln(5)*(exp(x)+10)*x+3*exp(x)+32))*(-csgn(I/(x*ln(5)+3)*(ln(5)*(exp(x)+10)*x+3*exp(x)+32))+csgn(I/(x*ln(5)+3)))*(-csgn(I/(x*ln(5)+3)*(ln(5)*(exp(x)+10)*x+3*exp(x)+32))+csgn(I*(ln(5)*(exp(x)+10)*x+3*exp(x)+32))))","C"
9394,1,13,16,0.556000," ","int(1/4*(2*x+1)/(x^2+x)/ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{\ln \left(x^{2}+x \right)}{4 \ln \left(2\right)^{2}}$&$13$\\ default&$\frac{\ln \left(\left(x +1\right) x \right)}{4 \ln \left(2\right)^{2}}$&$13$\\ risch&$\frac{\ln \left(x^{2}+x \right)}{4 \ln \left(2\right)^{2}}$&$13$\\ norman&$\frac{\ln \left(x \right)}{4 \ln \left(2\right)^{2}}+\frac{\ln \left(x +1\right)}{4 \ln \left(2\right)^{2}}$&$20$\\ meijerg&$\frac{\ln \left(x \right)-\ln \left(x +1\right)}{4 \ln \left(2\right)^{2}}+\frac{\ln \left(x +1\right)}{2 \ln \left(2\right)^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"1/4/ln(2)^2*ln(x^2+x)","A"
9395,1,20,21,0.085000," ","int((20*x*exp(1/5*x^2)^2+(64*x^2+160*x+160)*exp(1/5*x^2)+320*x+640)*exp(-4/(x*exp(1/5*x^2)+4*x))^2/(5*x*exp(1/5*x^2)^2+40*x*exp(1/5*x^2)+80*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \,{\mathrm e}^{-\frac{8}{\left(4+{\mathrm e}^{\frac{x^{2}}{5}}\right) x}}$&$20$\\ norman&$\frac{16 x \,{\mathrm e}^{-\frac{8}{x \,{\mathrm e}^{\frac{x^{2}}{5}}+4 x}}+4 x \,{\mathrm e}^{\frac{x^{2}}{5}} {\mathrm e}^{-\frac{8}{x \,{\mathrm e}^{\frac{x^{2}}{5}}+4 x}}}{4+{\mathrm e}^{\frac{x^{2}}{5}}}$&$63$\\ \hline \end{longtable}"," ",0,"4*x*exp(-8/(4+exp(1/5*x^2))/x)","A"
9396,1,13,16,0.033000," ","int(24*x^2*ln(2)+2*x-6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \left(8 x^{2} \ln \left(2\right)+x -6\right)$&$13$\\ default&$8 x^{3} \ln \left(2\right)+x^{2}-6 x$&$15$\\ norman&$8 x^{3} \ln \left(2\right)+x^{2}-6 x$&$15$\\ risch&$8 x^{3} \ln \left(2\right)+x^{2}-6 x$&$15$\\ \hline \end{longtable}"," ",0,"x*(8*x^2*ln(2)+x-6)","A"
9397,1,81,21,0.095000," ","int((-16*exp(4/ln(x))^4+(188*x*ln(x)^2-2256*x+96)*exp(4/ln(x))^3+((26508*x^2-1126*x)*ln(x)^2-106032*x^2+9008*x-272)*exp(4/ln(x))^2+((1245876*x^3-105656*x^2+3188*x)*ln(x)^2-1661168*x^3+211312*x^2-12752*x+288)*exp(4/ln(x))+(19518724*x^4-2478498*x^3+149462*x^2-3365*x)*ln(x)^2)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4879681 x^{4}+{\mathrm e}^{\frac{16}{\ln \left(x \right)}}-826166 x^{3}+74731 x^{2}-3365 x +\left(-8+188 x \right) {\mathrm e}^{\frac{12}{\ln \left(x \right)}}+\left(13254 x^{2}-1126 x +34\right) {\mathrm e}^{\frac{8}{\ln \left(x \right)}}+\left(415292 x^{3}-52828 x^{2}+3188 x -72\right) {\mathrm e}^{\frac{4}{\ln \left(x \right)}}$&$81$\\ \hline \end{longtable}"," ",0,"4879681*x^4+exp(16/ln(x))-826166*x^3+74731*x^2-3365*x+(-8+188*x)*exp(12/ln(x))+(13254*x^2-1126*x+34)*exp(8/ln(x))+(415292*x^3-52828*x^2+3188*x-72)*exp(4/ln(x))","B"
9398,1,14,17,0.026000," ","int(6*exp((8*exp(1)+20)*exp(4)/exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$6 x \,{\mathrm e}^{8 \,{\mathrm e}^{4}+20 \,{\mathrm e}^{3}}$&$14$\\ default&$6 \,{\mathrm e}^{\left(8 \,{\mathrm e}+20\right) {\mathrm e}^{4} {\mathrm e}^{-1}} x$&$18$\\ norman&$6 \,{\mathrm e}^{8 \,{\mathrm e}^{4}} {\mathrm e}^{20 \,{\mathrm e}^{3}} x$&$19$\\ \hline \end{longtable}"," ",0,"6*x*exp(8*exp(4)+20*exp(3))","A"
9399,1,24,28,0.043000," ","int(((-20*x^4+15*x^3-10*x^2+5*x)*ln(x)^2+(-40*x^5+30*x^4-20*x^3+10*x^2)*ln(x)-20*x^6+15*x^5-10*x^4+5*x^3+2*x+2)/(5*x*ln(x)^2+10*x^2*ln(x)+5*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{4}+x^{3}-x^{2}+x -\frac{2}{5 \left(x +\ln \left(x \right)\right)}$&$24$\\ norman&$\frac{-\frac{2}{5}+x^{2}+x^{4}+x^{3} \ln \left(x \right)+x \ln \left(x \right)-x^{3}-x^{5}-x^{2} \ln \left(x \right)-x^{4} \ln \left(x \right)}{x +\ln \left(x \right)}$&$50$\\ \hline \end{longtable}"," ",0,"-x^4+x^3-x^2+x-2/5/(x+ln(x))","A"
9400,1,44,35,0.381000," ","int(((2*x^3*exp(x)^3-30*exp(x)^2*x^2+150*exp(x)*x-250)*exp((x^6-10*x^5+25*x^4)/(exp(x)^2*x^2-10*exp(x)*x+25))^2+((4*x^5+19*x^3)*exp(x)^3+(-60*x^4-285*x^2)*exp(x)^2+(-2*x^8+24*x^7-80*x^6+50*x^5+300*x^3+1425*x)*exp(x)-30*x^6+250*x^5-500*x^4-500*x^2-2375)*exp((x^6-10*x^5+25*x^4)/(exp(x)^2*x^2-10*exp(x)*x+25))+(2*x^7+21*x^5+45*x^3)*exp(x)^3+(-30*x^6-315*x^4-675*x^2)*exp(x)^2+(150*x^5+1575*x^3+3375*x)*exp(x)-250*x^4-2625*x^2-5625)/((x^3*exp(x)^3-15*exp(x)^2*x^2+75*exp(x)*x-125)*exp((x^6-10*x^5+25*x^4)/(exp(x)^2*x^2-10*exp(x)*x+25))^2+((2*x^5+10*x^3)*exp(x)^3+(-30*x^4-150*x^2)*exp(x)^2+(150*x^3+750*x)*exp(x)-250*x^2-1250)*exp((x^6-10*x^5+25*x^4)/(exp(x)^2*x^2-10*exp(x)*x+25))+(x^7+10*x^5+25*x^3)*exp(x)^3+(-15*x^6-150*x^4-375*x^2)*exp(x)^2+(75*x^5+750*x^3+1875*x)*exp(x)-125*x^4-1250*x^2-3125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\frac{x}{x^{2}+{\mathrm e}^{-\frac{x^{4} \left(x -5\right)^{2}}{-{\mathrm e}^{2 x} x^{2}+10 \,{\mathrm e}^{x} x -25}}+5}$&$44$\\ \hline \end{longtable}"," ",0,"2*x-x/(x^2+exp(-x^4*(x-5)^2/(-exp(2*x)*x^2+10*exp(x)*x-25))+5)","A"
9401,1,15,18,0.045000," ","int((1+5*x)*exp(5*x)+2*(-x-1)*ln(2)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \,{\mathrm e}^{5 x}-2 x \ln \left(2\right) {\mathrm e}^{x}$&$15$\\ norman&$x \,{\mathrm e}^{5 x}-2 x \ln \left(2\right) {\mathrm e}^{x}$&$15$\\ risch&$x \,{\mathrm e}^{5 x}-2 x \ln \left(2\right) {\mathrm e}^{x}$&$15$\\ meijerg&$\frac{{\mathrm e}^{5 x}}{5}-\frac{\left(2-10 x \right) {\mathrm e}^{5 x}}{10}+2 \left(1-{\mathrm e}^{x}\right) \ln \left(2\right)-2 \ln \left(2\right) \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)$&$44$\\ \hline \end{longtable}"," ",0,"x*exp(5*x)-2*x*ln(2)*exp(x)","A"
9402,1,38,14,0.061000," ","int(((2*x^2+2*x)*ln(x)^2+((4*x^2+2*x)*exp(5/4)+2*x^2+4*x+2)*ln(x)+2*x^2*exp(5/4)^2+(2*x^2+2*x)*exp(5/4))/x/exp(5/4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{5}{2}} \left(x^{2}+2 x +1\right) \ln \left(x \right)^{2}+{\mathrm e}^{-\frac{5}{2}} \left(2 \,{\mathrm e}^{\frac{5}{4}} x^{2}+2 x \,{\mathrm e}^{\frac{5}{4}}\right) \ln \left(x \right)+x^{2}$&$38$\\ norman&$\left({\mathrm e}^{-\frac{5}{4}} \ln \left(x \right)^{2}+{\mathrm e}^{\frac{5}{4}} x^{2}+{\mathrm e}^{-\frac{5}{4}} x^{2} \ln \left(x \right)^{2}+2 x \ln \left(x \right)+2 x^{2} \ln \left(x \right)+2 \,{\mathrm e}^{-\frac{5}{4}} x \ln \left(x \right)^{2}\right) {\mathrm e}^{-\frac{5}{4}}$&$57$\\ default&${\mathrm e}^{-\frac{5}{2}} \left(x^{2} \ln \left(x \right)^{2}+4 \,{\mathrm e}^{\frac{5}{4}} \left(\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}\right)+x^{2} {\mathrm e}^{\frac{5}{2}}+2 x \ln \left(x \right)^{2}+2 \,{\mathrm e}^{\frac{5}{4}} \left(x \ln \left(x \right)-x \right)+{\mathrm e}^{\frac{5}{4}} x^{2}+2 x \,{\mathrm e}^{\frac{5}{4}}+\ln \left(x \right)^{2}\right)$&$74$\\ \hline \end{longtable}"," ",0,"exp(-5/2)*(x^2+2*x+1)*ln(x)^2+exp(-5/2)*(2*exp(5/4)*x^2+2*x*exp(5/4))*ln(x)+x^2","B"
9403,1,18,18,0.267000," ","int((2*x+1)*exp(5)*exp(exp(5)/(ln(5)-x^2-x-3))/(ln(5)^2+(-2*x^2-2*x-6)*ln(5)+x^4+2*x^3+7*x^2+6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{-\frac{{\mathrm e}^{5}}{-\ln \left(5\right)+x^{2}+x +3}}$&$18$\\ gosper&${\mathrm e}^{\frac{{\mathrm e}^{5}}{\ln \left(5\right)-x^{2}-x -3}}$&$19$\\ risch&${\mathrm e}^{\frac{{\mathrm e}^{5}}{\ln \left(5\right)-x^{2}-x -3}}$&$19$\\ norman&$\frac{\left(\ln \left(5\right)-3\right) {\mathrm e}^{\frac{{\mathrm e}^{5}}{\ln \left(5\right)-x^{2}-x -3}}-x \,{\mathrm e}^{\frac{{\mathrm e}^{5}}{\ln \left(5\right)-x^{2}-x -3}}-x^{2} {\mathrm e}^{\frac{{\mathrm e}^{5}}{\ln \left(5\right)-x^{2}-x -3}}}{\ln \left(5\right)-x^{2}-x -3}$&$84$\\ \hline \end{longtable}"," ",0,"exp(-exp(5)/(-ln(5)+x^2+x+3))","A"
9404,1,11,12,0.603000," ","int((x^2+32*x-96)/(x^3-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x -3\right)-\frac{32}{x}$&$11$\\ norman&$\ln \left(x -3\right)-\frac{32}{x}$&$11$\\ risch&$\ln \left(x -3\right)-\frac{32}{x}$&$11$\\ meijerg&$-\frac{32}{x}+\ln \left(1-\frac{x}{3}\right)$&$13$\\ \hline \end{longtable}"," ",0,"ln(x-3)-32/x","A"
9405,1,25,23,0.306000," ","int(((576*x^4+292656*x^3+55765924*x^2+4721723820*x+149838668100)*exp(x/(12*x^2+3049*x+193545))+288*x^5+146352*x^4+27882962*x^3+2360474820*x^2+74919334050*x)/(144*x^4+73176*x^3+13941481*x^2+1180237410*x+37459667025),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+4 \,{\mathrm e}^{\frac{x}{\left(3 x +391\right) \left(4 x +495\right)}} x$&$25$\\ norman&$\frac{-\frac{196706235 x}{4}+3049 x^{3}+12 x^{4}+774180 \,{\mathrm e}^{\frac{x}{12 x^{2}+3049 x +193545}} x +12196 \,{\mathrm e}^{\frac{x}{12 x^{2}+3049 x +193545}} x^{2}+48 \,{\mathrm e}^{\frac{x}{12 x^{2}+3049 x +193545}} x^{3}-\frac{12486555675}{4}}{12 x^{2}+3049 x +193545}$&$87$\\ \hline \end{longtable}"," ",0,"x^2+4*exp(x/(3*x+391)/(4*x+495))*x","A"
9406,1,45,30,0.041000," ","int((-30*x^7-105*x^6+90*x^5+660*x^4+600*x^3+30*x^2-390*x-600)/((25*x^7+150*x^6+300*x^5+200*x^4-25*x^2-50*x)*ln((x^6+4*x^5+4*x^4)/(x^5+4*x^4+4*x^3-1))^2+(-20*x^8+80*x^7+960*x^6+2240*x^5+1600*x^4+20*x^3-160*x^2-400*x)*ln((x^6+4*x^5+4*x^4)/(x^5+4*x^4+4*x^3-1))+4*x^9-56*x^8-32*x^7+1472*x^6+4160*x^5+3196*x^4+72*x^3-240*x^2-800*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{15}{-20+2 x -5 \ln \left(\frac{x^{6}+4 x^{5}+4 x^{4}}{x^{5}+4 x^{4}+4 x^{3}-1}\right)}$&$45$\\ \hline \end{longtable}"," ",0,"15/(-20+2*x-5*ln((x^6+4*x^5+4*x^4)/(x^5+4*x^4+4*x^3-1)))","A"
9407,1,22,23,0.033000," ","int((2*x-32)*exp(exp(4)+x^2-32*x+260)-15*exp(3*x)+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +{\mathrm e}^{{\mathrm e}^{4}+x^{2}-32 x +260}-5 \,{\mathrm e}^{3 x}$&$22$\\ norman&$2 x +{\mathrm e}^{{\mathrm e}^{4}+x^{2}-32 x +260}-5 \,{\mathrm e}^{3 x}$&$22$\\ risch&$2 x +{\mathrm e}^{{\mathrm e}^{4}+x^{2}-32 x +260}-5 \,{\mathrm e}^{3 x}$&$22$\\ \hline \end{longtable}"," ",0,"2*x+exp(exp(4)+x^2-32*x+260)-5*exp(3*x)","A"
9408,1,69,21,0.050000," ","int(((-10*x^2+80*x)*ln(2)^2+(30*x^3-320*x^2+680*x)*ln(2)-20*x^4+240*x^3-720*x^2+320*x-5)/(x*ln(x)^2+((2*x^3-32*x^2+128*x)*ln(2)^2+(-4*x^4+64*x^3-272*x^2+128*x)*ln(2)+2*x^5-32*x^4+144*x^3-128*x^2+32*x)*ln(x)+(x^5-32*x^4+384*x^3-2048*x^2+4096*x)*ln(2)^4+(-4*x^6+128*x^5-1552*x^4+8576*x^3-19456*x^2+8192*x)*ln(2)^3+(6*x^7-192*x^6+2352*x^5-13440*x^4+33888*x^3-26112*x^2+6144*x)*ln(2)^2+(-4*x^8+128*x^7-1584*x^6+9344*x^5-25792*x^4+27648*x^3-12544*x^2+2048*x)*ln(2)+x^9-32*x^8+400*x^7-2432*x^6+7264*x^5-9728*x^4+6400*x^3-2048*x^2+256*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{x^{2} \ln \left(2\right)^{2}-2 x^{3} \ln \left(2\right)+x^{4}-16 x \ln \left(2\right)^{2}+32 x^{2} \ln \left(2\right)-16 x^{3}+64 \ln \left(2\right)^{2}-136 x \ln \left(2\right)+72 x^{2}+\ln \left(x \right)+64 \ln \left(2\right)-64 x +16}$&$69$\\ \hline \end{longtable}"," ",0,"5/(x^2*ln(2)^2-2*x^3*ln(2)+x^4-16*x*ln(2)^2+32*x^2*ln(2)-16*x^3+64*ln(2)^2-136*x*ln(2)+72*x^2+ln(x)+64*ln(2)-64*x+16)","B"
9409,1,24,29,0.049000," ","int(((10*x^4+10*x^2)*exp(x^2)-60*x^3+10*x-5)/x^2/exp(-x^2*exp(x^2)+4*x^3-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 \,{\mathrm e}^{-x \left(-{\mathrm e}^{x^{2}} x +4 x^{2}-2\right)}}{x}$&$24$\\ norman&$\frac{5 \,{\mathrm e}^{x^{2} {\mathrm e}^{x^{2}}-4 x^{3}+2 x}}{x}$&$27$\\ \hline \end{longtable}"," ",0,"5/x*exp(-x*(-exp(x^2)*x+4*x^2-2))","A"
9410,1,48,28,0.041000," ","int(1/6*(((-x^2+2*x-2)*exp(x+1)+2*x^3-2*x^2+4)*ln(x)^2+((-2*x^3-2*x^2)*exp(x+1)+6*x^4+4*x^2)*ln(x)+2*x^2*exp(x+1)-2*x^4-4*x^2)/x^2/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3}-2 x^{2}-x \,{\mathrm e}^{x +1}+2 \,{\mathrm e}^{x +1}-4}{6 x}+\frac{x \left(x^{2}-{\mathrm e}^{x +1}+2\right)}{3 \ln \left(x \right)}$&$48$\\ \hline \end{longtable}"," ",0,"1/6*(x^3-2*x^2-x*exp(x+1)+2*exp(x+1)-4)/x+1/3*x*(x^2-exp(x+1)+2)/ln(x)","A"
9411,1,1672,32,0.719000," ","int(((5*x^3+31*x^2+44*x)*exp(x)*ln(x^2)*ln((10*x^2+22*x)*ln(x^2)/(20+5*x))+((5*x^3+31*x^2+44*x)*exp(x)^2+(-20*x^3-129*x^2-216*x-44)*exp(x)+20*x^3+134*x^2+256*x+88)*ln(x^2)+(-10*x^2-62*x-88)*exp(x)+20*x^2+124*x+176)/((5*x^3+31*x^2+44*x)*exp(x)^2+(-20*x^3-124*x^2-176*x)*exp(x)+20*x^3+124*x^2+176*x)/ln(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)}{{\mathrm e}^{x}-2}+\frac{-i \pi  \,\mathrm{csgn}\left(i \left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) \left(x +\frac{11}{5}\right)}{4+x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right) \mathrm{csgn}\left(i \left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) x}{4+x}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) \left(x +\frac{11}{5}\right)}{4+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{4+x}\right)-i \pi  \mathrm{csgn}\left(\frac{\left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) x}{4+x}\right)^{2} \mathrm{csgn}\left(\frac{i \left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) x}{4+x}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) \left(x +\frac{11}{5}\right)}{4+x}\right) \mathrm{csgn}\left(\frac{i \left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) x}{4+x}\right)^{2}+i \pi  \mathrm{csgn}\left(i \left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{\left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) x}{4+x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(x +\frac{11}{5}\right)\right) \mathrm{csgn}\left(i \left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right)^{2}+i \pi  \,\mathrm{csgn}\left(\frac{\left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) x}{4+x}\right) \mathrm{csgn}\left(\frac{i \left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) x}{4+x}\right)+i \pi  \mathrm{csgn}\left(\frac{i \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) \left(x +\frac{11}{5}\right)}{4+x}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{\left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) x}{4+x}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) \left(x +\frac{11}{5}\right)}{4+x}\right) \mathrm{csgn}\left(\frac{i \left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) x}{4+x}\right)-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) x}{4+x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right) \left(x +\frac{11}{5}\right)}{4+x}\right) \mathrm{csgn}\left(\frac{i}{4+x}\right)+i \pi  \,\mathrm{csgn}\left(i \left(x +\frac{11}{5}\right)\right) \mathrm{csgn}\left(i \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right) \mathrm{csgn}\left(i \left(x +\frac{11}{5}\right) \left(4 i \ln \left(x \right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}\right)\right)+i \pi +2 \,{\mathrm e}^{x} x -4 x -2 \ln \left(x \right)+2 \ln \left(4+x \right)-2 \ln \left(x +\frac{11}{5}\right)}{2 \,{\mathrm e}^{x}-4}$&$1672$\\ \hline \end{longtable}"," ",0,"-1/(exp(x)-2)*ln(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)+1/2*(-I*Pi*csgn(I*(x+11/5)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(I/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(x+11/5))^2-I*Pi*csgn(I*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(I*(x+11/5)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2+I*Pi*csgn(I*(x+11/5)/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*x)^3-I*Pi*csgn(I/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(x+11/5))^2*csgn(I/(4+x))-I*Pi*csgn((x+11/5)/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*x)^2*csgn(I*(x+11/5)/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*x)-I*Pi*csgn(I/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(x+11/5))*csgn(I*(x+11/5)/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*x)^2+I*Pi*csgn(I*(x+11/5)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^3-I*Pi*csgn((x+11/5)/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*x)^2-I*Pi*csgn(I*(x+11/5))*csgn(I*(x+11/5)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))^2+I*Pi*csgn((x+11/5)/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*x)*csgn(I*(x+11/5)/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*x)+I*Pi*csgn(I/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(x+11/5))^3+I*Pi*csgn((x+11/5)/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*x)^3+I*Pi*csgn(I*x)*csgn(I/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(x+11/5))*csgn(I*(x+11/5)/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*x)-I*Pi*csgn(I*x)*csgn(I*(x+11/5)/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*x)^2+I*Pi*csgn(I*(x+11/5)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(I/(4+x)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2)*(x+11/5))*csgn(I/(4+x))+I*Pi*csgn(I*(x+11/5))*csgn(I*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))*csgn(I*(x+11/5)*(4*I*ln(x)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2))+I*Pi+2*exp(x)*x-4*x-2*ln(x)+2*ln(4+x)-2*ln(x+11/5))/(exp(x)-2)","C"
9412,1,7,8,0.025000," ","int(1/2*exp(x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{{\mathrm e}^{x}}{2}$&$7$\\ norman&$x +\frac{{\mathrm e}^{x}}{2}$&$7$\\ risch&$x +\frac{{\mathrm e}^{x}}{2}$&$7$\\ derivativedivides&$\frac{{\mathrm e}^{x}}{2}+\ln \left({\mathrm e}^{x}\right)$&$9$\\ \hline \end{longtable}"," ",0,"x+1/2*exp(x)","A"
9413,1,86,25,0.088000," ","int(((-100*x-100)*exp(x)*ln(x)^3+200*x*exp(48)*ln(x)^2-100*x*exp(48)*ln(x))/((8*x^3*exp(x)^3+12*x^2*ln(3)*exp(x)^2+6*x*ln(3)^2*exp(x)+ln(3)^3)*ln(x)^3+(-24*x^4*exp(48)*exp(x)^2-24*x^3*exp(48)*ln(3)*exp(x)-6*x^2*exp(48)*ln(3)^2)*ln(x)^2+(24*x^5*exp(48)^2*exp(x)+12*x^4*exp(48)^2*ln(3))*ln(x)-8*x^6*exp(48)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25}{\left(2 \,{\mathrm e}^{x} x +\ln \left(3\right)\right)^{2}}+\frac{100 \left(-{\mathrm e}^{48} x^{2}+2 x \,{\mathrm e}^{x} \ln \left(x \right)+\ln \left(3\right) \ln \left(x \right)\right) {\mathrm e}^{48} x^{2}}{\left(4 \,{\mathrm e}^{2 x} x^{2}+4 x \ln \left(3\right) {\mathrm e}^{x}+\ln \left(3\right)^{2}\right) \left(2 x \,{\mathrm e}^{x} \ln \left(x \right)-2 \,{\mathrm e}^{48} x^{2}+\ln \left(3\right) \ln \left(x \right)\right)^{2}}$&$86$\\ \hline \end{longtable}"," ",0,"25/(2*exp(x)*x+ln(3))^2+100*(-exp(48)*x^2+2*x*exp(x)*ln(x)+ln(3)*ln(x))*exp(48)*x^2/(4*exp(2*x)*x^2+4*x*ln(3)*exp(x)+ln(3)^2)/(2*x*exp(x)*ln(x)-2*exp(48)*x^2+ln(3)*ln(x))^2","B"
9414,1,26,29,1.584000," ","int(((2*x^2-14*x+32)*exp((x-5)/(x-4))+4*(2*x^2-16*x+32)*ln(2)-x^2+8*x-16)/((128*x^4-1024*x^3+2048*x^2)*exp((x-5)/(x-4))^2+(4*(256*x^4-2048*x^3+4096*x^2)*ln(2)-128*x^4+1024*x^3-2048*x^2)*exp((x-5)/(x-4))+16*(128*x^4-1024*x^3+2048*x^2)*ln(2)^2+4*(-128*x^4+1024*x^3-2048*x^2)*ln(2)+32*x^4-256*x^3+512*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{32 x \left(-1+2 \,{\mathrm e}^{\frac{x -5}{x -4}}+8 \ln \left(2\right)\right)}$&$26$\\ norman&$\frac{\frac{1}{8}-\frac{x}{32}}{x \left(x -4\right) \left(-1+2 \,{\mathrm e}^{\frac{x -5}{x -4}}+8 \ln \left(2\right)\right)}$&$35$\\ \hline \end{longtable}"," ",0,"-1/32/x/(-1+2*exp((x-5)/(x-4))+8*ln(2))","A"
9415,1,32,28,0.072000," ","int((((4*x^3-8*x^2-8*x)*exp(x)+32*x^3+16*x^2)*ln(x)+((-4*x^3+8*x^2+8*x)*exp(x)-32*x^3-16*x^2)*exp(exp(2))+(4*x^4-4*x^3+4*x)*exp(x)+16*x^4-16*x^3-16*x^2)/((exp(x)^2-8*exp(x)*x+16*x^2)*ln(x)^2+((-2*exp(x)^2+16*exp(x)*x-32*x^2)*exp(exp(2))+2*x*exp(x)^2-16*exp(x)*x^2+32*x^3)*ln(x)+(exp(x)^2-8*exp(x)*x+16*x^2)*exp(exp(2))^2+(-2*x*exp(x)^2+16*exp(x)*x^2-32*x^3)*exp(exp(2))+exp(x)^2*x^2-8*exp(x)*x^3+16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \left(x +1\right) x^{2}}{\left(4 x -{\mathrm e}^{x}\right) \left({\mathrm e}^{{\mathrm e}^{2}}-x -\ln \left(x \right)\right)}$&$32$\\ \hline \end{longtable}"," ",0,"-4*(x+1)*x^2/(4*x-exp(x))/(exp(exp(2))-x-ln(x))","A"
9416,1,36,20,0.033000," ","int(((1024*x^3+1536*x^2+512*x)*ln(x^2)^2+(256*x^3+384*x^2+128*x)*ln(x^2)-128*x^3-256*x^2-128*x)/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$256 x^{4}+512 x^{3}+256 x^{2}+\frac{64 x^{2} \left(x^{2}+2 x +1\right)}{\ln \left(x^{2}\right)}$&$36$\\ norman&$\frac{64 x^{2}+128 x^{3}+64 x^{4}+256 x^{2} \ln \left(x^{2}\right)+512 x^{3} \ln \left(x^{2}\right)+256 x^{4} \ln \left(x^{2}\right)}{\ln \left(x^{2}\right)}$&$51$\\ \hline \end{longtable}"," ",0,"256*x^4+512*x^3+256*x^2+64*x^2*(x^2+2*x+1)/ln(x^2)","A"
9417,1,18,21,0.017000," ","int((-4*x^3*ln(x)+2*x^4+12*x^3+4)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x \ln \left(x \right)+16 x +x^{2}-\frac{2}{x^{2}}$&$18$\\ risch&$-4 x \ln \left(x \right)+\frac{x^{4}+16 x^{3}-2}{x^{2}}$&$21$\\ norman&$\frac{-2+x^{4}+16 x^{3}-4 x^{3} \ln \left(x \right)}{x^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"-4*x*ln(x)+16*x+x^2-2/x^2","A"
9418,1,15,22,0.030000," ","int(1/2*(x^2-18*x+31)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{\left(x^{2}-16 x +15\right) {\mathrm e}^{-x}}{2}$&$15$\\ norman&$\left(-\frac{15}{2}+8 x -\frac{1}{2} x^{2}\right) {\mathrm e}^{-x}$&$16$\\ risch&$\frac{\left(-x^{2}+16 x -15\right) {\mathrm e}^{-x}}{2}$&$17$\\ default&$-\frac{x^{2} {\mathrm e}^{-x}}{2}+8 x \,{\mathrm e}^{-x}-\frac{15 \,{\mathrm e}^{-x}}{2}$&$24$\\ meijerg&$\frac{15}{2}-\frac{31 \,{\mathrm e}^{-x}}{2}-\frac{\left(3 x^{2}+6 x +6\right) {\mathrm e}^{-x}}{6}+\frac{9 \left(2 x +2\right) {\mathrm e}^{-x}}{2}$&$36$\\ \hline \end{longtable}"," ",0,"-1/2*(x^2-16*x+15)/exp(x)","A"
9419,1,16,11,0.023000," ","int((x^3+3*x^2)*exp(x)+3*x^2+48*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x} x^{3}+24 x^{2}+x^{3}$&$16$\\ norman&${\mathrm e}^{x} x^{3}+24 x^{2}+x^{3}$&$16$\\ risch&${\mathrm e}^{x} x^{3}+24 x^{2}+x^{3}$&$16$\\ \hline \end{longtable}"," ",0,"exp(x)*x^3+24*x^2+x^3","A"
9420,1,1090,44,36.167000," ","int((((12*x*exp(5)^2+120*x*exp(5)+299*x)*exp(x)*ln(2/x)^3+(-24*x*exp(5)-120*x)*exp(x)^2*ln(2/x)^2+12*x*exp(x)^3*ln(2/x))*ln(((-12*exp(5)^2-120*exp(5)-299)*ln(2/x)^2+(24*exp(5)+120)*exp(x)*ln(2/x)-12*exp(x)^2)/ln(2/x)^2)+(-24*x*exp(5)-120*x)*exp(x)*ln(2/x)^2+(24*x*exp(x)^2+(-24*exp(5)-120)*exp(x))*ln(2/x)+24*exp(x)^2)/((12*x*exp(5)^2+120*x*exp(5)+299*x)*ln(2/x)^3+(-24*x*exp(5)-120*x)*exp(x)*ln(2/x)^2+12*x*exp(x)^2*ln(2/x))/ln(((-12*exp(5)^2-120*exp(5)-299)*ln(2/x)^2+(24*exp(5)+120)*exp(x)*ln(2/x)-12*exp(x)^2)/ln(2/x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x}+\ln \left(\ln \left(-40 \,{\mathrm e}^{5} \ln \left(x \right)^{2}-40 \,{\mathrm e}^{5} \ln \left(2\right)^{2}+80 \,{\mathrm e}^{5} \ln \left(2\right) \ln \left(x \right)-\frac{299 \ln \left(2\right)^{2}}{3}-\frac{299 \ln \left(x \right)^{2}}{3}-4 \,{\mathrm e}^{2 x}+40 \,{\mathrm e}^{x} \ln \left(2\right)+\frac{598 \ln \left(2\right) \ln \left(x \right)}{3}-40 \,{\mathrm e}^{x} \ln \left(x \right)+8 \,{\mathrm e}^{10} \ln \left(2\right) \ln \left(x \right)-4 \,{\mathrm e}^{10} \ln \left(x \right)^{2}-4 \,{\mathrm e}^{10} \ln \left(2\right)^{2}+8 \ln \left(2\right) {\mathrm e}^{5+x}-8 \ln \left(x \right) {\mathrm e}^{5+x}\right)+\frac{i \left(-2 \pi  \mathrm{csgn}\left(\frac{i \left(40 \,{\mathrm e}^{5} \ln \left(x \right)^{2}+40 \,{\mathrm e}^{5} \ln \left(2\right)^{2}-80 \,{\mathrm e}^{5} \ln \left(2\right) \ln \left(x \right)+\frac{299 \ln \left(2\right)^{2}}{3}+\frac{299 \ln \left(x \right)^{2}}{3}+4 \,{\mathrm e}^{2 x}-40 \,{\mathrm e}^{x} \ln \left(2\right)-\frac{598 \ln \left(2\right) \ln \left(x \right)}{3}+40 \,{\mathrm e}^{x} \ln \left(x \right)-8 \,{\mathrm e}^{10} \ln \left(2\right) \ln \left(x \right)+4 \,{\mathrm e}^{10} \ln \left(x \right)^{2}+4 \,{\mathrm e}^{10} \ln \left(2\right)^{2}-8 \ln \left(2\right) {\mathrm e}^{5+x}+8 \ln \left(x \right) {\mathrm e}^{5+x}\right)}{\left(2 i \ln \left(2\right)-2 i \ln \left(x \right)\right)^{2}}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\left(2 i \ln \left(2\right)-2 i \ln \left(x \right)\right)^{2}}\right) \mathrm{csgn}\left(i \left(40 \,{\mathrm e}^{5} \ln \left(x \right)^{2}+40 \,{\mathrm e}^{5} \ln \left(2\right)^{2}-80 \,{\mathrm e}^{5} \ln \left(2\right) \ln \left(x \right)+\frac{299 \ln \left(2\right)^{2}}{3}+\frac{299 \ln \left(x \right)^{2}}{3}+4 \,{\mathrm e}^{2 x}-40 \,{\mathrm e}^{x} \ln \left(2\right)-\frac{598 \ln \left(2\right) \ln \left(x \right)}{3}+40 \,{\mathrm e}^{x} \ln \left(x \right)-8 \,{\mathrm e}^{10} \ln \left(2\right) \ln \left(x \right)+4 \,{\mathrm e}^{10} \ln \left(x \right)^{2}+4 \,{\mathrm e}^{10} \ln \left(2\right)^{2}-8 \ln \left(2\right) {\mathrm e}^{5+x}+8 \ln \left(x \right) {\mathrm e}^{5+x}\right)\right) \mathrm{csgn}\left(\frac{i \left(40 \,{\mathrm e}^{5} \ln \left(x \right)^{2}+40 \,{\mathrm e}^{5} \ln \left(2\right)^{2}-80 \,{\mathrm e}^{5} \ln \left(2\right) \ln \left(x \right)+\frac{299 \ln \left(2\right)^{2}}{3}+\frac{299 \ln \left(x \right)^{2}}{3}+4 \,{\mathrm e}^{2 x}-40 \,{\mathrm e}^{x} \ln \left(2\right)-\frac{598 \ln \left(2\right) \ln \left(x \right)}{3}+40 \,{\mathrm e}^{x} \ln \left(x \right)-8 \,{\mathrm e}^{10} \ln \left(2\right) \ln \left(x \right)+4 \,{\mathrm e}^{10} \ln \left(x \right)^{2}+4 \,{\mathrm e}^{10} \ln \left(2\right)^{2}-8 \ln \left(2\right) {\mathrm e}^{5+x}+8 \ln \left(x \right) {\mathrm e}^{5+x}\right)}{\left(2 i \ln \left(2\right)-2 i \ln \left(x \right)\right)^{2}}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{\left(2 i \ln \left(2\right)-2 i \ln \left(x \right)\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(40 \,{\mathrm e}^{5} \ln \left(x \right)^{2}+40 \,{\mathrm e}^{5} \ln \left(2\right)^{2}-80 \,{\mathrm e}^{5} \ln \left(2\right) \ln \left(x \right)+\frac{299 \ln \left(2\right)^{2}}{3}+\frac{299 \ln \left(x \right)^{2}}{3}+4 \,{\mathrm e}^{2 x}-40 \,{\mathrm e}^{x} \ln \left(2\right)-\frac{598 \ln \left(2\right) \ln \left(x \right)}{3}+40 \,{\mathrm e}^{x} \ln \left(x \right)-8 \,{\mathrm e}^{10} \ln \left(2\right) \ln \left(x \right)+4 \,{\mathrm e}^{10} \ln \left(x \right)^{2}+4 \,{\mathrm e}^{10} \ln \left(2\right)^{2}-8 \ln \left(2\right) {\mathrm e}^{5+x}+8 \ln \left(x \right) {\mathrm e}^{5+x}\right)}{\left(2 i \ln \left(2\right)-2 i \ln \left(x \right)\right)^{2}}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(2 i \ln \left(2\right)-2 i \ln \left(x \right)\right)\right)^{2} \mathrm{csgn}\left(i \left(2 i \ln \left(2\right)-2 i \ln \left(x \right)\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(2 i \ln \left(2\right)-2 i \ln \left(x \right)\right)\right) \mathrm{csgn}\left(i \left(2 i \ln \left(2\right)-2 i \ln \left(x \right)\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(2 i \ln \left(2\right)-2 i \ln \left(x \right)\right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i \left(40 \,{\mathrm e}^{5} \ln \left(x \right)^{2}+40 \,{\mathrm e}^{5} \ln \left(2\right)^{2}-80 \,{\mathrm e}^{5} \ln \left(2\right) \ln \left(x \right)+\frac{299 \ln \left(2\right)^{2}}{3}+\frac{299 \ln \left(x \right)^{2}}{3}+4 \,{\mathrm e}^{2 x}-40 \,{\mathrm e}^{x} \ln \left(2\right)-\frac{598 \ln \left(2\right) \ln \left(x \right)}{3}+40 \,{\mathrm e}^{x} \ln \left(x \right)-8 \,{\mathrm e}^{10} \ln \left(2\right) \ln \left(x \right)+4 \,{\mathrm e}^{10} \ln \left(x \right)^{2}+4 \,{\mathrm e}^{10} \ln \left(2\right)^{2}-8 \ln \left(2\right) {\mathrm e}^{5+x}+8 \ln \left(x \right) {\mathrm e}^{5+x}\right)\right) \mathrm{csgn}\left(\frac{i \left(40 \,{\mathrm e}^{5} \ln \left(x \right)^{2}+40 \,{\mathrm e}^{5} \ln \left(2\right)^{2}-80 \,{\mathrm e}^{5} \ln \left(2\right) \ln \left(x \right)+\frac{299 \ln \left(2\right)^{2}}{3}+\frac{299 \ln \left(x \right)^{2}}{3}+4 \,{\mathrm e}^{2 x}-40 \,{\mathrm e}^{x} \ln \left(2\right)-\frac{598 \ln \left(2\right) \ln \left(x \right)}{3}+40 \,{\mathrm e}^{x} \ln \left(x \right)-8 \,{\mathrm e}^{10} \ln \left(2\right) \ln \left(x \right)+4 \,{\mathrm e}^{10} \ln \left(x \right)^{2}+4 \,{\mathrm e}^{10} \ln \left(2\right)^{2}-8 \ln \left(2\right) {\mathrm e}^{5+x}+8 \ln \left(x \right) {\mathrm e}^{5+x}\right)}{\left(2 i \ln \left(2\right)-2 i \ln \left(x \right)\right)^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(40 \,{\mathrm e}^{5} \ln \left(x \right)^{2}+40 \,{\mathrm e}^{5} \ln \left(2\right)^{2}-80 \,{\mathrm e}^{5} \ln \left(2\right) \ln \left(x \right)+\frac{299 \ln \left(2\right)^{2}}{3}+\frac{299 \ln \left(x \right)^{2}}{3}+4 \,{\mathrm e}^{2 x}-40 \,{\mathrm e}^{x} \ln \left(2\right)-\frac{598 \ln \left(2\right) \ln \left(x \right)}{3}+40 \,{\mathrm e}^{x} \ln \left(x \right)-8 \,{\mathrm e}^{10} \ln \left(2\right) \ln \left(x \right)+4 \,{\mathrm e}^{10} \ln \left(x \right)^{2}+4 \,{\mathrm e}^{10} \ln \left(2\right)^{2}-8 \ln \left(2\right) {\mathrm e}^{5+x}+8 \ln \left(x \right) {\mathrm e}^{5+x}\right)}{\left(2 i \ln \left(2\right)-2 i \ln \left(x \right)\right)^{2}}\right)^{3}-4 i \ln \left(2\right)-2 i \ln \left(3\right)+4 i \ln \left(2 i \ln \left(2\right)-2 i \ln \left(x \right)\right)+2 \pi \right)}{2}\right)$&$1090$\\ \hline \end{longtable}"," ",0,"exp(x)+ln(ln(-40*exp(5)*ln(x)^2-40*exp(5)*ln(2)^2+80*exp(5)*ln(2)*ln(x)-299/3*ln(2)^2-299/3*ln(x)^2-4*exp(2*x)+40*exp(x)*ln(2)+598/3*ln(2)*ln(x)-40*exp(x)*ln(x)+8*exp(10)*ln(2)*ln(x)-4*exp(10)*ln(x)^2-4*exp(10)*ln(2)^2+8*ln(2)*exp(5+x)-8*ln(x)*exp(5+x))+1/2*I*(-2*Pi*csgn(I*(40*exp(5)*ln(x)^2+40*exp(5)*ln(2)^2-80*exp(5)*ln(2)*ln(x)+299/3*ln(2)^2+299/3*ln(x)^2+4*exp(2*x)-40*exp(x)*ln(2)-598/3*ln(2)*ln(x)+40*exp(x)*ln(x)-8*exp(10)*ln(2)*ln(x)+4*exp(10)*ln(x)^2+4*exp(10)*ln(2)^2-8*ln(2)*exp(5+x)+8*ln(x)*exp(5+x))/(2*I*ln(2)-2*I*ln(x))^2)^2-Pi*csgn(I/(2*I*ln(2)-2*I*ln(x))^2)*csgn(I*(40*exp(5)*ln(x)^2+40*exp(5)*ln(2)^2-80*exp(5)*ln(2)*ln(x)+299/3*ln(2)^2+299/3*ln(x)^2+4*exp(2*x)-40*exp(x)*ln(2)-598/3*ln(2)*ln(x)+40*exp(x)*ln(x)-8*exp(10)*ln(2)*ln(x)+4*exp(10)*ln(x)^2+4*exp(10)*ln(2)^2-8*ln(2)*exp(5+x)+8*ln(x)*exp(5+x)))*csgn(I*(40*exp(5)*ln(x)^2+40*exp(5)*ln(2)^2-80*exp(5)*ln(2)*ln(x)+299/3*ln(2)^2+299/3*ln(x)^2+4*exp(2*x)-40*exp(x)*ln(2)-598/3*ln(2)*ln(x)+40*exp(x)*ln(x)-8*exp(10)*ln(2)*ln(x)+4*exp(10)*ln(x)^2+4*exp(10)*ln(2)^2-8*ln(2)*exp(5+x)+8*ln(x)*exp(5+x))/(2*I*ln(2)-2*I*ln(x))^2)+Pi*csgn(I/(2*I*ln(2)-2*I*ln(x))^2)*csgn(I*(40*exp(5)*ln(x)^2+40*exp(5)*ln(2)^2-80*exp(5)*ln(2)*ln(x)+299/3*ln(2)^2+299/3*ln(x)^2+4*exp(2*x)-40*exp(x)*ln(2)-598/3*ln(2)*ln(x)+40*exp(x)*ln(x)-8*exp(10)*ln(2)*ln(x)+4*exp(10)*ln(x)^2+4*exp(10)*ln(2)^2-8*ln(2)*exp(5+x)+8*ln(x)*exp(5+x))/(2*I*ln(2)-2*I*ln(x))^2)^2+Pi*csgn(I*(2*I*ln(2)-2*I*ln(x)))^2*csgn(I*(2*I*ln(2)-2*I*ln(x))^2)-2*Pi*csgn(I*(2*I*ln(2)-2*I*ln(x)))*csgn(I*(2*I*ln(2)-2*I*ln(x))^2)^2+Pi*csgn(I*(2*I*ln(2)-2*I*ln(x))^2)^3-Pi*csgn(I*(40*exp(5)*ln(x)^2+40*exp(5)*ln(2)^2-80*exp(5)*ln(2)*ln(x)+299/3*ln(2)^2+299/3*ln(x)^2+4*exp(2*x)-40*exp(x)*ln(2)-598/3*ln(2)*ln(x)+40*exp(x)*ln(x)-8*exp(10)*ln(2)*ln(x)+4*exp(10)*ln(x)^2+4*exp(10)*ln(2)^2-8*ln(2)*exp(5+x)+8*ln(x)*exp(5+x)))*csgn(I*(40*exp(5)*ln(x)^2+40*exp(5)*ln(2)^2-80*exp(5)*ln(2)*ln(x)+299/3*ln(2)^2+299/3*ln(x)^2+4*exp(2*x)-40*exp(x)*ln(2)-598/3*ln(2)*ln(x)+40*exp(x)*ln(x)-8*exp(10)*ln(2)*ln(x)+4*exp(10)*ln(x)^2+4*exp(10)*ln(2)^2-8*ln(2)*exp(5+x)+8*ln(x)*exp(5+x))/(2*I*ln(2)-2*I*ln(x))^2)^2-Pi*csgn(I*(40*exp(5)*ln(x)^2+40*exp(5)*ln(2)^2-80*exp(5)*ln(2)*ln(x)+299/3*ln(2)^2+299/3*ln(x)^2+4*exp(2*x)-40*exp(x)*ln(2)-598/3*ln(2)*ln(x)+40*exp(x)*ln(x)-8*exp(10)*ln(2)*ln(x)+4*exp(10)*ln(x)^2+4*exp(10)*ln(2)^2-8*ln(2)*exp(5+x)+8*ln(x)*exp(5+x))/(2*I*ln(2)-2*I*ln(x))^2)^3-4*I*ln(2)-2*I*ln(3)+4*I*ln(2*I*ln(2)-2*I*ln(x))+2*Pi))","C"
9421,1,60,18,0.046000," ","int((2*x^2+2*x)*exp(x)^2+((2*x+2)*exp(4)+2*x^3+8*x^2+30*x+26)*exp(x)+(4*x+2)*exp(4)+4*x^3+6*x^2+54*x+26,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{4}+\left(2 \,{\mathrm e}^{4}+26\right) x +\left(2 \,{\mathrm e}^{4}+27\right) x^{2}+{\mathrm e}^{2 x} x^{2}+\left(2 \,{\mathrm e}^{4}+26\right) x \,{\mathrm e}^{x}+2 x^{3}+2 \,{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{x} x^{3}$&$60$\\ risch&${\mathrm e}^{2 x} x^{2}+\left(2 x^{3}+2 x \,{\mathrm e}^{4}+2 x^{2}+26 x \right) {\mathrm e}^{x}+2 x^{2} {\mathrm e}^{4}+2 x \,{\mathrm e}^{4}+x^{4}+2 x^{3}+27 x^{2}+26 x$&$60$\\ default&$26 x +\left(2 x^{2}+2 x \right) {\mathrm e}^{4}+26 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x} x^{2}+2 \,{\mathrm e}^{x} x^{3}+2 \,{\mathrm e}^{4} {\mathrm e}^{x}+2 \,{\mathrm e}^{4} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+{\mathrm e}^{2 x} x^{2}+27 x^{2}+2 x^{3}+x^{4}$&$76$\\ \hline \end{longtable}"," ",0,"x^4+(2*exp(4)+26)*x+(2*exp(4)+27)*x^2+exp(x)^2*x^2+(2*exp(4)+26)*x*exp(x)+2*x^3+2*exp(x)*x^2+2*exp(x)*x^3","B"
9422,1,267,24,0.240000," ","int((((-4*x-2)*exp(x)+4*x^2+2*x)*ln(-4*x*exp(x)/(exp(x)-x))+(-8*x^2-8*x-2)*exp(x)+8*x^4+8*x^3+2*x^2)/(exp(x)*x^3-x^4)/ln(-4*x*exp(x)/(exp(x)-x))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \left(4 x^{2}+4 x +1\right)}{x^{2} \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{x}-x}\right) \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{x}}{{\mathrm e}^{x}-x}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{x}}{{\mathrm e}^{x}-x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}-x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{x}-x}\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{x}-x}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}-x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{x}-x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{x}-x}\right)^{3}+\pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{{\mathrm e}^{x}-x}\right) \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{x}}{{\mathrm e}^{x}-x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i x \,{\mathrm e}^{x}}{{\mathrm e}^{x}-x}\right)^{3}-2 i \ln \left(x -{\mathrm e}^{x}\right)+4 i \ln \left(2\right)+2 i \ln \left({\mathrm e}^{x}\right)+2 i \ln \left(x \right)\right)^{2}}$&$267$\\ \hline \end{longtable}"," ",0,"-4*(4*x^2+4*x+1)/x^2/(Pi*csgn(I*x)*csgn(I*exp(x)/(exp(x)-x))*csgn(I*x*exp(x)/(exp(x)-x))-Pi*csgn(I*x)*csgn(I*x*exp(x)/(exp(x)-x))^2+Pi*csgn(I*exp(x))*csgn(I/(exp(x)-x))*csgn(I*exp(x)/(exp(x)-x))-Pi*csgn(I*exp(x))*csgn(I*exp(x)/(exp(x)-x))^2+Pi*csgn(I/(exp(x)-x))*csgn(I*exp(x)/(exp(x)-x))^2-Pi*csgn(I*exp(x)/(exp(x)-x))^3+Pi*csgn(I*exp(x)/(exp(x)-x))*csgn(I*x*exp(x)/(exp(x)-x))^2-Pi*csgn(I*x*exp(x)/(exp(x)-x))^3-2*I*ln(x-exp(x))+4*I*ln(2)+2*I*ln(exp(x))+2*I*ln(x))^2","C"
9423,1,13,9,0.020000," ","int(exp(2)+22/5*x-81/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(11 x +5 \,{\mathrm e}^{2}-81\right)}{5}$&$13$\\ norman&$\left({\mathrm e}^{2}-\frac{81}{5}\right) x +\frac{11 x^{2}}{5}$&$13$\\ default&${\mathrm e}^{2} x +\frac{11 x^{2}}{5}-\frac{81 x}{5}$&$14$\\ risch&${\mathrm e}^{2} x +\frac{11 x^{2}}{5}-\frac{81 x}{5}$&$14$\\ \hline \end{longtable}"," ",0,"1/5*x*(11*x+5*exp(2)-81)","A"
9424,1,11,9,0.025000," ","int(exp(1/25)+2*x+15,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\left({\mathrm e}^{\frac{1}{25}}+15\right) x$&$11$\\ gosper&$x \,{\mathrm e}^{\frac{1}{25}}+x^{2}+15 x$&$12$\\ default&$x \,{\mathrm e}^{\frac{1}{25}}+x^{2}+15 x$&$12$\\ risch&$x \,{\mathrm e}^{\frac{1}{25}}+x^{2}+15 x$&$12$\\ \hline \end{longtable}"," ",0,"x^2+(exp(1/25)+15)*x","A"
9425,1,34,29,0.049000," ","int(((-14*x^4-56*x^3-56*x^2)*ln(5*x)+(7*x^3+28*x^2+28*x)*exp(x)+21*x^5+77*x^4+35*x^3-77*x^2+70*x+140)/(x^3+4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-7 x^{2} \ln \left(5 x \right)+7 x^{3}-21 x +35 \ln \left(x \right)-\frac{14}{2+x}+7 \,{\mathrm e}^{x}$&$34$\\ risch&$-7 x^{2} \ln \left(5 x \right)+\frac{7 x^{4}+14 x^{3}+35 x \ln \left(x \right)-21 x^{2}+7 \,{\mathrm e}^{x} x +70 \ln \left(x \right)-42 x +14 \,{\mathrm e}^{x}-14}{2+x}$&$53$\\ \hline \end{longtable}"," ",0,"-7*x^2*ln(5*x)+7*x^3-21*x+35*ln(x)-14/(2+x)+7*exp(x)","A"
9426,1,17,16,0.625000," ","int(((-x^2-8*x-16)*exp(5)-2*x^2-16*x-37)/(x^2+8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x \,{\mathrm e}^{5}-2 x +\frac{5}{4+x}$&$17$\\ risch&$-x \,{\mathrm e}^{5}-2 x +\frac{5}{4+x}$&$17$\\ norman&$\frac{\left(-{\mathrm e}^{5}-2\right) x^{2}+37+16 \,{\mathrm e}^{5}}{4+x}$&$23$\\ gosper&$-\frac{x^{2} {\mathrm e}^{5}+2 x^{2}-16 \,{\mathrm e}^{5}-37}{4+x}$&$25$\\ meijerg&$-\frac{37 x}{16 \left(1+\frac{x}{4}\right)}+4 \left(-{\mathrm e}^{5}-2\right) \left(\frac{x \left(\frac{3 x}{4}+6\right)}{3 x +12}-2 \ln \left(1+\frac{x}{4}\right)\right)+4 \left(-2 \,{\mathrm e}^{5}-4\right) \left(-\frac{x}{4 \left(1+\frac{x}{4}\right)}+\ln \left(1+\frac{x}{4}\right)\right)-\frac{{\mathrm e}^{5} x}{1+\frac{x}{4}}$&$81$\\ \hline \end{longtable}"," ",0,"-x*exp(5)-2*x+5/(4+x)","A"
9427,1,28,30,0.126000," ","int(((2*x^3+18*x^2-54)*ln(5)*ln(3/x)+(3*x^4+23*x^3-15*x^2-99*x+54)*ln(5))/((x^6-18*x^4+81*x^2)*ln(3/x)^2+(2*x^7-36*x^5+162*x^3)*ln(3/x)+x^8-18*x^6+81*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(5\right) \left(x +6\right)}{\left(x^{2}-9\right) x \left(\ln \left(\frac{3}{x}\right)+x \right)}$&$28$\\ \hline \end{longtable}"," ",0,"-ln(5)*(x+6)/(x^2-9)/x/(ln(3/x)+x)","A"
9428,1,37,31,0.058000," ","int(((2*x^5+24*x^4+90*x^3+88*x^2-120*x-300)*ln(x)^2+(-4*x^5-29*x^4-50*x^3+4*x^2+120*x)*ln(x)+2*x^5+6*x^4+9*x^3+8*x^2)/((2*x^4+20*x^3+50*x^2)*ln(x)^2+(-4*x^4-20*x^3)*ln(x)+2*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3}+4 x^{2}+12}{2 x}-\frac{\left(4+x \right) x}{2 \left(x \ln \left(x \right)+5 \ln \left(x \right)-x \right)}$&$37$\\ norman&$\frac{-4 x \ln \left(x \right)+8 x^{2} \ln \left(x \right)-6 x -\frac{5 x^{3}}{2}-\frac{x^{4}}{2}+\frac{9 x^{3} \ln \left(x \right)}{2}+\frac{x^{4} \ln \left(x \right)}{2}+30 \ln \left(x \right)}{x \left(x \ln \left(x \right)+5 \ln \left(x \right)-x \right)}$&$63$\\ \hline \end{longtable}"," ",0,"1/2*(x^3+4*x^2+12)/x-1/2*(4+x)*x/(x*ln(x)+5*ln(x)-x)","A"
9429,1,14,19,0.035000," ","int((-24*ln(2)-30*x-768)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{30 x +12 \ln \left(2\right)+384}{x^{2}}$&$14$\\ risch&$\frac{30 x +12 \ln \left(2\right)+384}{x^{2}}$&$14$\\ gosper&$\frac{30 x +12 \ln \left(2\right)+384}{x^{2}}$&$15$\\ default&$-\frac{3 \left(-4 \ln \left(2\right)-128\right)}{x^{2}}+\frac{30}{x}$&$18$\\ \hline \end{longtable}"," ",0,"(30*x+12*ln(2)+384)/x^2","A"
9430,1,52,40,0.077000," ","int(((-3906250*exp(x)^2+(-156250*x-156250)*exp(x)-6250*x+48828125)*ln(x)^3+(-93750*x*exp(x)^2+(-2500*x^2-1250*x)*exp(x)+1171875*x)*ln(x)^2+(-750*exp(x)^2*x^2+(-10*x^3-1250*x)*exp(x)+9325*x^2)*ln(x)-2*exp(x)^2*x^3-10*exp(x)*x^2+25*x^3)/(48828125*ln(x)^3+1171875*x*ln(x)^2+9375*x^2*ln(x)+25*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}}{15625}+x -\frac{{\mathrm e}^{2 x}}{25}-\frac{2 \,{\mathrm e}^{x} x}{625}+\frac{\left(x^{2}+50 \,{\mathrm e}^{x} x +250 x \ln \left(x \right)+6250 \,{\mathrm e}^{x} \ln \left(x \right)\right) x^{2}}{15625 \left(125 \ln \left(x \right)+x \right)^{2}}$&$52$\\ \hline \end{longtable}"," ",0,"-1/15625*x^2+x-1/25*exp(2*x)-2/625*exp(x)*x+1/15625*(x^2+50*exp(x)*x+250*x*ln(x)+6250*exp(x)*ln(x))*x^2/(125*ln(x)+x)^2","A"
9431,1,21,15,0.057000," ","int((((x^3+2*x^2)*exp(x)+12*x^2)*ln(x)+exp(x)*x^2+6*x^2+3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2} {\mathrm e}^{x} \ln \left(x \right)+6 x^{2} \ln \left(x \right)+3 \ln \left(x \right)$&$21$\\ norman&$x^{2} {\mathrm e}^{x} \ln \left(x \right)+6 x^{2} \ln \left(x \right)+3 \ln \left(x \right)$&$21$\\ risch&$\left({\mathrm e}^{x} x^{2}+6 x^{2}\right) \ln \left(x \right)+3 \ln \left(x \right)$&$21$\\ \hline \end{longtable}"," ",0,"x^2*exp(x)*ln(x)+6*x^2*ln(x)+3*ln(x)","A"
9432,1,66,31,0.138000," ","int((8*(18*x^6*exp(4)+32*x^7+25*x^6)*ln(2)^3+4*(-36*x^3*exp(4)^2+90*x^4*exp(4)+96*x^5+75*x^4)*ln(2)^2+2*(150*x^3+75*x^2)*ln(2)+50*x+25)/(200*x^6*ln(2)^3+300*x^4*ln(2)^2+150*x^2*ln(2)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{16 x^{2}}{25}+\frac{18 x \,{\mathrm e}^{4}}{25}+x +\frac{-\frac{72 x^{3} {\mathrm e}^{4} \ln \left(2\right)}{25}+\frac{72 \left(\frac{{\mathrm e}^{8} \ln \left(2\right)}{2}-\frac{3}{8}\right) x^{2}}{25}-\frac{18 x \,{\mathrm e}^{4}}{25}+\frac{9 \left({\mathrm e}^{8} \ln \left(2\right)-1\right)}{25 \ln \left(2\right)}}{\left(2 x^{2} \ln \left(2\right)+1\right)^{2}}$&$66$\\ norman&$\frac{x +x^{2}+\left(4 \ln \left(2\right)^{2}+\frac{72 \,{\mathrm e}^{4} \ln \left(2\right)^{2}}{25}\right) x^{5}+\left(-\frac{36 \,{\mathrm e}^{8} \ln \left(2\right)^{2}}{25}+4 \ln \left(2\right)\right) x^{4}+4 x^{3} \ln \left(2\right)+\frac{64 x^{6} \ln \left(2\right)^{2}}{25}}{\left(2 x^{2} \ln \left(2\right)+1\right)^{2}}$&$72$\\ risch&$\frac{18 x \,{\mathrm e}^{4}}{25}+\frac{16 x^{2}}{25}+x +\frac{-\frac{18 x^{3} {\mathrm e}^{4} \ln \left(2\right)}{25}+\frac{\left(9 \,{\mathrm e}^{8} \ln \left(2\right)-\frac{27}{4}\right) x^{2}}{25}-\frac{9 x \,{\mathrm e}^{4}}{50}+\frac{\frac{9 \,{\mathrm e}^{8} \ln \left(2\right)}{100}-\frac{9}{100}}{\ln \left(2\right)}}{x^{4} \ln \left(2\right)^{2}+x^{2} \ln \left(2\right)+\frac{1}{4}}$&$73$\\ gosper&$-\frac{x \left(36 \ln \left(2\right)^{2} {\mathrm e}^{8} x^{3}-72 \ln \left(2\right)^{2} {\mathrm e}^{4} x^{4}-64 x^{5} \ln \left(2\right)^{2}-100 x^{4} \ln \left(2\right)^{2}-100 x^{3} \ln \left(2\right)-100 x^{2} \ln \left(2\right)-25 x -25\right)}{25 \left(4 x^{4} \ln \left(2\right)^{2}+4 x^{2} \ln \left(2\right)+1\right)}$&$85$\\ \hline \end{longtable}"," ",0,"16/25*x^2+18/25*x*exp(4)+x+72/25*(-x^3*exp(4)*ln(2)+(1/2*exp(8)*ln(2)-3/8)*x^2-1/4*x*exp(4)+1/8/ln(2)*(exp(8)*ln(2)-1))/(2*x^2*ln(2)+1)^2","B"
9433,1,16,14,0.026000," ","int((6*x*ln(x)+exp(x)*x+9*x-18)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x -18 \ln \left(x \right)+6 x \ln \left(x \right)+{\mathrm e}^{x}$&$16$\\ norman&$3 x -18 \ln \left(x \right)+6 x \ln \left(x \right)+{\mathrm e}^{x}$&$16$\\ risch&$3 x -18 \ln \left(x \right)+6 x \ln \left(x \right)+{\mathrm e}^{x}$&$16$\\ \hline \end{longtable}"," ",0,"3*x-18*ln(x)+6*x*ln(x)+exp(x)","A"
9434,1,22,22,0.147000," ","int(((36*x-27)*exp(5-x)-8*exp(1))/(27*x*exp(5-x)-24*exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{3}-\ln \left(-27 x \,{\mathrm e}^{5-x}+24 \,{\mathrm e}\right)$&$22$\\ risch&$\frac{x}{3}-\ln \left(x \right)+5-\ln \left({\mathrm e}^{5-x}-\frac{8 \,{\mathrm e}}{9 x}\right)$&$27$\\ \hline \end{longtable}"," ",0,"1/3*x-ln(-27*x*exp(5-x)+24*exp(1))","A"
9435,1,30,28,0.725000," ","int((ln(5)*ln(exp(3)^2*exp(x^3+5*x^2+4*x))+(3*x^3+10*x^2+4*x)*ln(5)-3*x^4-10*x^3-4*x^2)/(ln(5)^2-2*x*ln(5)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \ln \left({\mathrm e}^{6} {\mathrm e}^{x^{3}+5 x^{2}+4 x}\right)}{\ln \left(5\right)-x}$&$30$\\ default&$-x^{3}-5 x^{2}-4 x -\frac{\ln \left(5\right) \ln \left({\mathrm e}^{6} {\mathrm e}^{x^{3}+5 x^{2}+4 x}\right)}{-\ln \left(5\right)+x}$&$46$\\ risch&$\frac{\ln \left(5\right) \ln \left({\mathrm e}^{x \left(x +1\right) \left(4+x \right)}\right)}{\ln \left(5\right)-x}-\frac{-2 x^{3} \ln \left(5\right)+2 x^{4}-10 x^{2} \ln \left(5\right)+10 x^{3}-8 x \ln \left(5\right)+8 x^{2}+12 \ln \left(5\right)}{2 \left(-\ln \left(5\right)+x \right)}$&$72$\\ \hline \end{longtable}"," ",0,"x*ln(exp(3)^2*exp(x^3+5*x^2+4*x))/(ln(5)-x)","A"
9436,1,31,30,0.632000," ","int((((6*x-6)*exp(5)^2-18*x+24)*ln(3)+(6*x^2-6*x)*exp(5)^2-18*x^2+24*x-3)/(ln(3)^2+2*x*ln(3)+x^2)/exp((-x^2+2*x)*exp(5)^2+3*x^2-8*x+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{x^{2} {\mathrm e}^{10}-2 x \,{\mathrm e}^{10}-3 x^{2}+8 x -5}}{\ln \left(3\right)+x}$&$31$\\ norman&$\frac{3 \,{\mathrm e}^{-\left(-x^{2}+2 x \right) {\mathrm e}^{10}-3 x^{2}+8 x -5}}{\ln \left(3\right)+x}$&$36$\\ gosper&$\frac{3 \,{\mathrm e}^{x^{2} {\mathrm e}^{10}-2 x \,{\mathrm e}^{10}-3 x^{2}+8 x -5}}{\ln \left(3\right)+x}$&$38$\\ \hline \end{longtable}"," ",0,"3/(ln(3)+x)*exp(x^2*exp(10)-2*x*exp(10)-3*x^2+8*x-5)","A"
9437,1,14,16,0.041000," ","int(2*x*exp(2)^2+(-36*x^2-116*x)*exp(2)+144*x^3+1044*x^2+1682*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x^{2} \left({\mathrm e}^{2}-6 x -29\right)^{2}$&$14$\\ norman&$\left(-12 \,{\mathrm e}^{2}+348\right) x^{3}+\left({\mathrm e}^{4}-58 \,{\mathrm e}^{2}+841\right) x^{2}+36 x^{4}$&$31$\\ risch&$x^{2} {\mathrm e}^{4}-12 x^{3} {\mathrm e}^{2}-58 x^{2} {\mathrm e}^{2}+36 x^{4}+348 x^{3}+841 x^{2}$&$37$\\ default&$x^{2} {\mathrm e}^{4}+{\mathrm e}^{2} \left(-12 x^{3}-58 x^{2}\right)+36 x^{4}+348 x^{3}+841 x^{2}$&$39$\\ \hline \end{longtable}"," ",0,"x^2*(exp(2)-6*x-29)^2","A"
9438,1,13,12,0.618000," ","int(((-3-x)*exp(x)+1)/(x^2+8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-{\mathrm e}^{x}-1}{4+x}$&$13$\\ default&$-\frac{1}{4+x}-\frac{{\mathrm e}^{x}}{4+x}$&$18$\\ risch&$-\frac{1}{4+x}-\frac{{\mathrm e}^{x}}{4+x}$&$18$\\ \hline \end{longtable}"," ",0,"(-exp(x)-1)/(4+x)","A"
9439,1,24,26,0.041000," ","int(1/18*(-18*exp(2)+27*x^7-24*x^5+4*x^3+18*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{6}}{4}-\frac{x^{4}}{3}+\frac{x^{2}}{9}+x +\frac{{\mathrm e}^{2}}{x}$&$24$\\ risch&$\frac{x^{6}}{4}-\frac{x^{4}}{3}+\frac{x^{2}}{9}+x +\frac{{\mathrm e}^{2}}{x}$&$24$\\ norman&$\frac{x^{2}+\frac{x^{3}}{9}-\frac{x^{5}}{3}+\frac{x^{7}}{4}+{\mathrm e}^{2}}{x}$&$26$\\ gosper&$\frac{9 x^{7}-12 x^{5}+4 x^{3}+36 x^{2}+36 \,{\mathrm e}^{2}}{36 x}$&$31$\\ \hline \end{longtable}"," ",0,"1/4*x^6-1/3*x^4+1/9*x^2+x+exp(2)/x","A"
9440,1,7087,31,0.853000," ","int((((-3*x^3-4*x^2-2*x)*ln(x)^2+(-6*x^4-8*x^3-4*x^2+8)*ln(x)-3*x^5-4*x^4-2*x^3+8*x)*ln(((-3*x^3-4*x^2-2*x)*ln(x)-3*x^4-4*x^3-2*x^2+8)/(x*ln(x)+x^2))^2+((-12*x^3-8*x^2)*ln(x)^2+(-24*x^4-16*x^3-16)*ln(x)-12*x^5-8*x^4-32*x-16)*ln(((-3*x^3-4*x^2-2*x)*ln(x)-3*x^4-4*x^3-2*x^2+8)/(x*ln(x)+x^2))+(12*x^3+16*x^2+8*x)*ln(x)^2+(24*x^4+32*x^3+16*x^2-32)*ln(x)+12*x^5+16*x^4+8*x^3-32*x)/((3*x^3+4*x^2+2*x)*ln(x)^2+(6*x^4+8*x^3+4*x^2-8)*ln(x)+3*x^5+4*x^4+2*x^3-8*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$7087$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
9441,1,9,15,0.029000," ","int(-8*ln(2)^2/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-8 \ln \left(x \right) \ln \left(2\right)^{2}$&$9$\\ norman&$-8 \ln \left(x \right) \ln \left(2\right)^{2}$&$9$\\ risch&$-8 \ln \left(x \right) \ln \left(2\right)^{2}$&$9$\\ \hline \end{longtable}"," ",0,"-8*ln(x)*ln(2)^2","A"
9442,1,14,13,0.048000," ","int((2*exp(3+x)*exp(exp(3+x))-6)*ln(exp(exp(3+x))-3*x-6)/(exp(exp(3+x))-3*x-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left({\mathrm e}^{{\mathrm e}^{3+x}}-3 x -6\right)^{2}$&$14$\\ norman&$\ln \left({\mathrm e}^{{\mathrm e}^{3+x}}-3 x -6\right)^{2}$&$14$\\ risch&$\ln \left({\mathrm e}^{{\mathrm e}^{3+x}}-3 x -6\right)^{2}$&$14$\\ \hline \end{longtable}"," ",0,"ln(exp(exp(3+x))-3*x-6)^2","A"
9443,1,27,18,0.151000," ","int(((6*x+6)*exp((100*x^2+200*x+3)/(25*x^2+50*x))*exp(exp((100*x^2+200*x+3)/(25*x^2+50*x)))+25*x^4+100*x^3+100*x^2)/(25*x^4+100*x^3+100*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -{\mathrm e}^{{\mathrm e}^{\frac{100 x^{2}+200 x +3}{25 x \left(2+x \right)}}}$&$27$\\ norman&$\frac{x^{3}-4 x -2 x \,{\mathrm e}^{{\mathrm e}^{\frac{100 x^{2}+200 x +3}{25 x^{2}+50 x}}}-x^{2} {\mathrm e}^{{\mathrm e}^{\frac{100 x^{2}+200 x +3}{25 x^{2}+50 x}}}}{x \left(2+x \right)}$&$73$\\ \hline \end{longtable}"," ",0,"x-exp(exp(1/25*(100*x^2+200*x+3)/x/(2+x)))","A"
9444,1,45,31,0.223000," ","int((-12*ln(x)^2+(24*x+216)*ln(x)+(3*x^2-3*x)*exp(3*exp(3))+3*x^2-231*x-972)/((x^2-8*x+16)*ln(x)^2+((-2*x^2+8*x)*exp(3*exp(3))-2*x^3-12*x^2+152*x-288)*ln(x)+x^2*exp(3*exp(3))^2+(2*x^3+20*x^2-72*x)*exp(3*exp(3))+x^4+20*x^3+28*x^2-720*x+1296),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-12 \ln \left(x \right)+\left(-3 \,{\mathrm e}^{3 \,{\mathrm e}^{3}}-3\right) x +108}{{\mathrm e}^{3 \,{\mathrm e}^{3}} x +x^{2}-x \ln \left(x \right)+10 x +4 \ln \left(x \right)-36}$&$45$\\ risch&$\frac{12}{x -4}-\frac{3 \left(5+{\mathrm e}^{3 \,{\mathrm e}^{3}}\right) x^{2}}{\left(x -4\right) \left({\mathrm e}^{3 \,{\mathrm e}^{3}} x +x^{2}-x \ln \left(x \right)+10 x +4 \ln \left(x \right)-36\right)}$&$52$\\ \hline \end{longtable}"," ",0,"(-12*ln(x)+(-3*exp(exp(3))^3-3)*x+108)/(exp(3*exp(3))*x+x^2-x*ln(x)+10*x+4*ln(x)-36)","A"
9445,1,72,21,0.105000," ","int(((2*x^6-28*x^5+222*x^4-960*x^3+1926*x^2-1188*x-486)*ln(x)+2*x^7-82*x^6+906*x^5-6186*x^4+22422*x^3-36774*x^2+17406*x+7938)/(x^6-15*x^5+90*x^4-270*x^3+405*x^2-243*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-54 x -\frac{98 \ln \left(x \right)}{3}+\frac{144}{\left(x -3\right)^{4}}+\frac{864}{\left(x -3\right)^{3}}+\frac{1872}{\left(x -3\right)^{2}}+\frac{1704}{x -3}+2 x \ln \left(x \right)+\ln \left(x \right)^{2}+\frac{8 \ln \left(x \right) x \left(x -6\right)}{3 \left(x -3\right)^{2}}-\frac{24 \ln \left(x \right) x}{x -3}$&$72$\\ norman&$\frac{x^{6}+x^{4} \ln \left(x \right)^{2}-2998 x^{3}+1116 \ln \left(x \right)+16164 x +\frac{5051 x^{4}}{6}-822 x \ln \left(x \right)-\frac{284 x^{4} \ln \left(x \right)}{9}+\frac{380 x^{3} \ln \left(x \right)}{3}-66 x^{5}+81 \ln \left(x \right)^{2}-108 x \ln \left(x \right)^{2}+54 x^{2} \ln \left(x \right)^{2}-12 x^{3} \ln \left(x \right)^{2}+2 x^{5} \ln \left(x \right)-\frac{40563}{2}}{\left(x -3\right)^{4}}-\frac{418 \ln \left(x \right)}{9}$&$104$\\ risch&$\ln \left(x \right)^{2}+\frac{2 \left(x^{3}-6 x^{2}-27 x +96\right) \ln \left(x \right)}{x^{2}-6 x +9}-\frac{-x^{6}+54 x^{4} \ln \left(x \right)+66 x^{5}-648 x^{3} \ln \left(x \right)-702 x^{4}+2916 x^{2} \ln \left(x \right)+1320 x^{3}-5832 x \ln \left(x \right)+7551 x^{2}+4374 \ln \left(x \right)-31266 x +31608}{\left(x^{2}-6 x +9\right)^{2}}$&$105$\\ \hline \end{longtable}"," ",0,"x^2-54*x-98/3*ln(x)+144/(x-3)^4+864/(x-3)^3+1872/(x-3)^2+1704/(x-3)+2*x*ln(x)+ln(x)^2+8/3*ln(x)*x*(x-6)/(x-3)^2-24*ln(x)*x/(x-3)","B"
9446,1,30,29,0.029000," ","int((-12*ln(x)-240*x^4+144*x^2-288*x+112)/(9*x^2*ln(x)^2+(72*x^6-72*x^4+216*x^3-186*x^2+42*x)*ln(x)+144*x^10-288*x^8+864*x^7-600*x^6-696*x^5+2040*x^4-2400*x^3+1465*x^2-434*x+49),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{12 x^{5}-12 x^{3}+3 x \ln \left(x \right)+36 x^{2}-31 x +7}$&$30$\\ \hline \end{longtable}"," ",0,"4/(12*x^5-12*x^3+3*x*ln(x)+36*x^2-31*x+7)","A"
9447,1,314,30,0.673000," ","int(((((-6*x^2-x+2)*exp(1/5/x)+30*x^4+5*x^3-10*x^2)*ln(2*x-1)+(-30*x^2-5*x+10)*exp(1/5/x)+150*x^4+25*x^3-50*x^2)*ln((3*x+2)/(x*ln(2*x-1)+5*x))+((20*x^2-10*x)*exp(1/5/x)+20*x^3-10*x^2)*ln(2*x-1)+(30*x^3+120*x^2-50*x)*exp(1/5/x)+30*x^4+120*x^3-50*x^2)/((30*x^4+5*x^3-10*x^2)*ln(2*x-1)+150*x^4+25*x^3-50*x^2)/ln((3*x+2)/(x*ln(2*x-1)+5*x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i \left({\mathrm e}^{\frac{1}{5 x}}+x \right)}{\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{2}{3}+x \right)}{\ln \left(2 x -1\right)+5}\right) \mathrm{csgn}\left(\frac{i \left(\frac{2}{3}+x \right)}{x \left(\ln \left(2 x -1\right)+5\right)}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\frac{2}{3}+x \right)}{x \left(\ln \left(2 x -1\right)+5\right)}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(\frac{2}{3}+x \right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(2 x -1\right)+5}\right) \mathrm{csgn}\left(\frac{i \left(\frac{2}{3}+x \right)}{\ln \left(2 x -1\right)+5}\right)-\pi  \,\mathrm{csgn}\left(i \left(\frac{2}{3}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(\frac{2}{3}+x \right)}{\ln \left(2 x -1\right)+5}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(2 x -1\right)+5}\right) \mathrm{csgn}\left(\frac{i \left(\frac{2}{3}+x \right)}{\ln \left(2 x -1\right)+5}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(\frac{2}{3}+x \right)}{\ln \left(2 x -1\right)+5}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i \left(\frac{2}{3}+x \right)}{\ln \left(2 x -1\right)+5}\right) \mathrm{csgn}\left(\frac{i \left(\frac{2}{3}+x \right)}{x \left(\ln \left(2 x -1\right)+5\right)}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(\frac{2}{3}+x \right)}{x \left(\ln \left(2 x -1\right)+5\right)}\right)^{3}-2 i \ln \left(x \right)+2 i \ln \left(\frac{2}{3}+x \right)+2 i \ln \left(3\right)-2 i \ln \left(\ln \left(2 x -1\right)+5\right)}$&$314$\\ \hline \end{longtable}"," ",0,"2*I*(exp(1/5/x)+x)/(Pi*csgn(I/x)*csgn(I*(2/3+x)/(ln(2*x-1)+5))*csgn(I/x/(ln(2*x-1)+5)*(2/3+x))-Pi*csgn(I/x)*csgn(I/x/(ln(2*x-1)+5)*(2/3+x))^2+Pi*csgn(I*(2/3+x))*csgn(I/(ln(2*x-1)+5))*csgn(I*(2/3+x)/(ln(2*x-1)+5))-Pi*csgn(I*(2/3+x))*csgn(I*(2/3+x)/(ln(2*x-1)+5))^2-Pi*csgn(I/(ln(2*x-1)+5))*csgn(I*(2/3+x)/(ln(2*x-1)+5))^2+Pi*csgn(I*(2/3+x)/(ln(2*x-1)+5))^3-Pi*csgn(I*(2/3+x)/(ln(2*x-1)+5))*csgn(I/x/(ln(2*x-1)+5)*(2/3+x))^2+Pi*csgn(I/x/(ln(2*x-1)+5)*(2/3+x))^3-2*I*ln(x)+2*I*ln(2/3+x)+2*I*ln(3)-2*I*ln(ln(2*x-1)+5))","C"
9448,1,27,27,0.110000," ","int(((-3*exp(3)^2+(-2*x-5)*exp(3))*ln(ln(4*ln(2)))+2*(-3*exp(3)^2+(-2*x-5)*exp(3))*ln(2))/(9*x^2*exp(3)^2+(6*x^3+30*x^2)*exp(3)+x^4+10*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{3} \left(\ln \left(\ln \left(4 \ln \left(2\right)\right)\right)+2 \ln \left(2\right)\right)}{x \left(5+3 \,{\mathrm e}^{3}+x \right)}$&$27$\\ norman&$\frac{2 \,{\mathrm e}^{3} \ln \left(2\right)+{\mathrm e}^{3} \ln \left(2 \ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)}{x \left(5+3 \,{\mathrm e}^{3}+x \right)}$&$33$\\ risch&$\frac{2 \,{\mathrm e}^{3} \ln \left(2\right)+{\mathrm e}^{3} \ln \left(2 \ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)}{x \left(5+3 \,{\mathrm e}^{3}+x \right)}$&$35$\\ \hline \end{longtable}"," ",0,"exp(3)*(ln(ln(4*ln(2)))+2*ln(2))/x/(5+3*exp(3)+x)","A"
9449,1,41,33,0.569000," ","int(((((2*x^2+8*x)*ln(4+x)^2+(-6*x^3-22*x^2)*ln(4+x)+4*x^4+14*x^3)*exp(x^2*ln(4+x)^2-2*x^3*ln(4+x)+x^4)+4+x)*exp(-exp(x^2*ln(4+x)^2-2*x^3*ln(4+x)+x^4)+3-x)-x-4)*exp(-exp(-exp(x^2*ln(4+x)^2-2*x^3*ln(4+x)+x^4)+3-x)+3-x)/(4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-{\mathrm e}^{-\left(4+x \right)^{-2 x^{3}} {\mathrm e}^{x^{2} \left(\ln \left(4+x \right)^{2}+x^{2}\right)}+3-x}+3-x}$&$41$\\ \hline \end{longtable}"," ",0,"exp(-exp(-(4+x)^(-2*x^3)*exp(x^2*(ln(4+x)^2+x^2))+3-x)+3-x)","A"
9450,1,15,13,0.039000," ","int(((x*exp(x)*ln(x)+1)*exp(exp(x))+2*x^2+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+2 \ln \left(x \right)+\ln \left(x \right) {\mathrm e}^{{\mathrm e}^{x}}$&$15$\\ \hline \end{longtable}"," ",0,"x^2+2*ln(x)+ln(x)*exp(exp(x))","A"
9451,1,58,27,0.079000," ","int(((-2*x*exp(5)^3+(-18*x^2-54*x)*exp(5)^2+(-54*x^3-324*x^2-486*x)*exp(5)-54*x^4-486*x^3-1458*x^2-1458*x)*ln(x)^3+(6*x^2*exp(5)^3+(54*x^3+162*x^2-4*x)*exp(5)^2+(162*x^4+972*x^3+1440*x^2-72*x)*exp(5)+162*x^5+1458*x^4+4356*x^3+4212*x^2-324*x)*ln(x)^2+(-6*x^3*exp(5)^3+(-54*x^4-162*x^3+6*x^2+2*x)*exp(5)^2+(-162*x^5-972*x^4-1434*x^3+120*x^2+34*x)*exp(5)-162*x^6-1458*x^5-4356*x^4-4140*x^3+594*x^2+144*x)*ln(x)+2*x^4*exp(5)^3+(18*x^5+54*x^4-2*x^3-2*x^2)*exp(5)^2+(54*x^6+324*x^5+480*x^4-48*x^3-36*x^2+2*x)*exp(5)+54*x^7+486*x^6+1458*x^5+1386*x^4-276*x^3-156*x^2+18*x)/((exp(5)^3+(9*x+27)*exp(5)^2+(27*x^2+162*x+243)*exp(5)+27*x^3+243*x^2+729*x+729)*ln(x)^3+(-3*x*exp(5)^3+(-27*x^2-81*x)*exp(5)^2+(-81*x^3-486*x^2-729*x)*exp(5)-81*x^4-729*x^3-2187*x^2-2187*x)*ln(x)^2+(3*x^2*exp(5)^3+(27*x^3+81*x^2)*exp(5)^2+(81*x^4+486*x^3+729*x^2)*exp(5)+81*x^5+729*x^4+2187*x^3+2187*x^2)*ln(x)-x^3*exp(5)^3+(-9*x^4-27*x^3)*exp(5)^2+(-27*x^5-162*x^4-243*x^3)*exp(5)-27*x^6-243*x^5-729*x^4-729*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+\frac{\left(2 x \,{\mathrm e}^{5}-2 \,{\mathrm e}^{5} \ln \left(x \right)+6 x^{2}-6 x \ln \left(x \right)+18 x -18 \ln \left(x \right)-1\right) x^{2}}{\left(9+{\mathrm e}^{5}+3 x \right)^{2} \left(x -\ln \left(x \right)\right)^{2}}$&$58$\\ \hline \end{longtable}"," ",0,"-x^2+(2*x*exp(5)-2*exp(5)*ln(x)+6*x^2-6*x*ln(x)+18*x-18*ln(x)-1)*x^2/(9+exp(5)+3*x)^2/(x-ln(x))^2","B"
9452,1,27,22,0.095000," ","int(((-6*x^2*ln(x)-3*x^2)*ln(x^2)+(2*x*exp(2*x)+2*x^2)*ln(x)+exp(2*x)+4*x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x^{2} \ln \left(x \right)-3 \ln \left(x \right) \ln \left(x^{2}\right) x^{2}+\ln \left(x \right) {\mathrm e}^{2 x}$&$27$\\ risch&$-6 x^{2} \ln \left(x \right)^{2}+\left(\frac{3 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}-3 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\frac{3 i \pi  \,x^{2} \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+4 x^{2}+{\mathrm e}^{2 x}\right) \ln \left(x \right)$&$82$\\ \hline \end{longtable}"," ",0,"4*x^2*ln(x)-3*ln(x)*ln(x^2)*x^2+ln(x)*exp(2*x)","A"
9453,1,34,20,0.072000," ","int(((-2*x^10-6*x^5+8)*exp((x^10-2*x^5+1)/x^8)+6*x^14-x^9)/x^9,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{14}-x^{9}-{\mathrm e}^{\frac{x^{10}-2 x^{5}+1}{x^{8}}} x^{8}}{x^{8}}$&$34$\\ risch&$x^{6}-x -{\mathrm e}^{\frac{\left(x -1\right)^{2} \left(x^{4}+x^{3}+x^{2}+x +1\right)^{2}}{x^{8}}}$&$34$\\ \hline \end{longtable}"," ",0,"(x^14-x^9-exp((x^10-2*x^5+1)/x^8)*x^8)/x^8","A"
9454,1,24,24,0.069000," ","int(((2*x^2+7*x+2)*ln(ln(5))+2*x*exp(x)*exp(x^2+6))/exp(x)/exp(x^2+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\ln \left(\ln \left(5\right)\right) \left(3+x \right) {\mathrm e}^{-x^{2}-x -6}$&$24$\\ default&$x^{2}-3 \ln \left(\ln \left(5\right)\right) {\mathrm e}^{-x^{2}-x -6}-x \ln \left(\ln \left(5\right)\right) {\mathrm e}^{-x^{2}-x -6}$&$38$\\ norman&$\left(x^{2} {\mathrm e}^{x} {\mathrm e}^{x^{2}+6}-x \ln \left(\ln \left(5\right)\right)-3 \ln \left(\ln \left(5\right)\right)\right) {\mathrm e}^{-x} {\mathrm e}^{-x^{2}-6}$&$38$\\ \hline \end{longtable}"," ",0,"x^2-ln(ln(5))*(3+x)*exp(-x^2-x-6)","A"
9455,1,23,24,0.351000," ","int((48*x*ln(x)+(6-2*x)*ln(5)^2+16*x*exp(5)-48*x)/(9*x*ln(x)^2+(6*x*exp(5)-6*x^2)*ln(x)+x*exp(5)^2-2*x^2*exp(5)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left(\ln \left(5\right)^{2}-8 x \right)}{3 \ln \left(x \right)+{\mathrm e}^{5}-x}$&$23$\\ norman&$\frac{48 \ln \left(x \right)-2 \ln \left(5\right)^{2}+16 \,{\mathrm e}^{5}}{3 \ln \left(x \right)+{\mathrm e}^{5}-x}$&$29$\\ default&$\frac{48 \ln \left(x \right)+16 \,{\mathrm e}^{5}}{3 \ln \left(x \right)+{\mathrm e}^{5}-x}-\frac{2 \ln \left(5\right)^{2}}{3 \ln \left(x \right)+{\mathrm e}^{5}-x}$&$42$\\ \hline \end{longtable}"," ",0,"-2*(ln(5)^2-8*x)/(3*ln(x)+exp(5)-x)","A"
9456,1,17,17,0.071000," ","int((-8*ln(2)-4*x+8)/(x^2*ln(x)^2+(-4*x*ln(2)+4*x)*ln(x)+4*ln(2)^2-8*ln(2)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{4 x}{-x \ln \left(x \right)+2 \ln \left(2\right)-2}$&$17$\\ risch&$-\frac{4 x}{-x \ln \left(x \right)+2 \ln \left(2\right)-2}$&$17$\\ \hline \end{longtable}"," ",0,"-4*x/(-x*ln(x)+2*ln(2)-2)","A"
9457,1,20,19,0.045000," ","int((160*x^2+2370*x-2100)*exp(5)/(48*x^7+1896*x^6+16203*x^5-49770*x^4+33075*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{10 \,{\mathrm e}^{5}}{3 x^{2} \left(4 x^{2}+79 x -105\right)}$&$20$\\ norman&$-\frac{10 \,{\mathrm e}^{5}}{3 x^{2} \left(4 x^{2}+79 x -105\right)}$&$20$\\ risch&$-\frac{10 \,{\mathrm e}^{5}}{3 x^{2} \left(4 x^{2}+79 x -105\right)}$&$20$\\ default&$\frac{10 \,{\mathrm e}^{5} \left(\frac{1}{105 x^{2}}+\frac{79}{11025 x}+\frac{1}{39249 x +824229}-\frac{64}{2225 \left(4 x -5\right)}\right)}{3}$&$32$\\ \hline \end{longtable}"," ",0,"-10/3/x^2*exp(5)/(4*x^2+79*x-105)","A"
9458,1,22,17,0.045000," ","int(1/5*((10*ln(2)+10*x-14)*ln(x)^2+40*ln(2)*ln(x)-40*ln(2))/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \ln \left(2\right)+x^{2}-\frac{14 x}{5}+\frac{8 x \ln \left(2\right)}{\ln \left(x \right)}$&$22$\\ norman&$\frac{x^{2} \ln \left(x \right)+\left(2 \ln \left(2\right)-\frac{14}{5}\right) x \ln \left(x \right)+8 x \ln \left(2\right)}{\ln \left(x \right)}$&$28$\\ default&$2 x \ln \left(2\right)+x^{2}-\frac{14 x}{5}-8 \ln \left(2\right) \expIntegralEi \left(1, -\ln \left(x \right)\right)-8 \ln \left(2\right) \left(-\frac{x}{\ln \left(x \right)}-\expIntegralEi \left(1, -\ln \left(x \right)\right)\right)$&$43$\\ \hline \end{longtable}"," ",0,"2*x*ln(2)+x^2-14/5*x+8*x*ln(2)/ln(x)","A"
9459,1,28,30,0.049000," ","int(((-7*x^2+70*x-175)*ln(x)-8*x^5+54*x^4+61*x^3-663*x^2-45*x+175)/(2*x^4-20*x^3+50*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{7 \ln \left(x \right)}{2 x}-2 x^{2}-13 x +\frac{\ln \left(x \right)}{2}+\frac{5}{x -5}$&$28$\\ norman&$\frac{330 x +x \ln \left(x \right)+\frac{x^{2} \ln \left(x \right)}{2}-3 x^{3}-2 x^{4}-\frac{35 \ln \left(x \right)}{2}}{\left(x -5\right) x}$&$39$\\ risch&$\frac{7 \ln \left(x \right)}{2 x}+\frac{-4 x^{3}+x \ln \left(x \right)-6 x^{2}-5 \ln \left(x \right)+130 x +10}{2 x -10}$&$39$\\ \hline \end{longtable}"," ",0,"7/2*ln(x)/x-2*x^2-13*x+1/2*ln(x)+5/(x-5)","A"
9460,1,32,32,0.059000," ","int(1/2*(((1-x)*exp(x)^3+(-4*x^2+2*x)*exp(x)^2)*exp(1/2*(4*x+exp(x))/x)+(4*x-4)*exp(x)^2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2 x}}{x^{2}}-\frac{{\mathrm e}^{\frac{4 x^{2}+{\mathrm e}^{x}+4 x}{2 x}}}{x}$&$32$\\ \hline \end{longtable}"," ",0,"exp(2*x)/x^2-1/x*exp(1/2*(4*x^2+exp(x)+4*x)/x)","A"
9461,1,35,25,0.269000," ","int((((18*exp(1/9*exp(1/4*x)^2-2/3*x*exp(1/4*x)+x^2)-18*x)*ln(-exp(1/9*exp(1/4*x)^2-2/3*x*exp(1/4*x)+x^2)+x)-36*exp(1/9*exp(1/4*x)^2-2/3*x*exp(1/4*x)+x^2)+36*x)*ln(-ln(-exp(1/9*exp(1/4*x)^2-2/3*x*exp(1/4*x)+x^2)+x)+2)+(36*x*exp(1/9*exp(1/4*x)^2-2/3*x*exp(1/4*x)+x^2)-36*x^2)*ln(-exp(1/9*exp(1/4*x)^2-2/3*x*exp(1/4*x)+x^2)+x)+(x*exp(1/4*x)^2+(-3*x^2-12*x)*exp(1/4*x)+36*x^2-72*x)*exp(1/9*exp(1/4*x)^2-2/3*x*exp(1/4*x)+x^2)+72*x^2-18*x)/((18*exp(1/9*exp(1/4*x)^2-2/3*x*exp(1/4*x)+x^2)-18*x)*ln(-exp(1/9*exp(1/4*x)^2-2/3*x*exp(1/4*x)+x^2)+x)-36*exp(1/9*exp(1/4*x)^2-2/3*x*exp(1/4*x)+x^2)+36*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\ln \left(-\ln \left(-{\mathrm e}^{\frac{{\mathrm e}^{\frac{x}{2}}}{9}-\frac{2 x \,{\mathrm e}^{\frac{x}{4}}}{3}+x^{2}}+x \right)+2\right) x$&$35$\\ \hline \end{longtable}"," ",0,"x^2+ln(-ln(-exp(1/9*exp(1/2*x)-2/3*x*exp(1/4*x)+x^2)+x)+2)*x","A"
9462,1,25,23,0.048000," ","int(((2*ln(2)-2*x)*ln(x)+(x-ln(2))*ln(-2*ln(2)+2*x)-9*ln(2)+8*x)/((4*ln(2)-4*x)*ln(x)^2+((-4*ln(2)+4*x)*ln(-2*ln(2)+2*x)+(8*x-28)*ln(2)-8*x^2+28*x)*ln(x)+(ln(2)-x)*ln(-2*ln(2)+2*x)^2+((-4*x+14)*ln(2)+4*x^2-14*x)*ln(-2*ln(2)+2*x)+(4*x^2-28*x+49)*ln(2)-4*x^3+28*x^2-49*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{2 \ln \left(x \right)-\ln \left(-2 \ln \left(2\right)+2 x \right)+2 x -7}$&$25$\\ \hline \end{longtable}"," ",0,"x/(2*ln(x)-ln(-2*ln(2)+2*x)+2*x-7)","A"
9463,1,34,23,0.104000," ","int((((100*x^3-15100*x^2+37500*x-22500)*ln(2)+100*x^3-15100*x^2+37500*x-22500)*ln(x-1)+(100*x^3-7800*x^2+22500*x)*ln(2)+100*x^3-7800*x^2+22500*x)/(x^3-151*x^2+5775*x-5625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(100+100 \ln \left(2\right)\right) x^{2} \ln \left(x -1\right)+\left(-300-300 \ln \left(2\right)\right) x \ln \left(x -1\right)}{x -75}$&$34$\\ risch&$\frac{100 \left(x^{2} \ln \left(2\right)-75 x \ln \left(2\right)+x^{2}+5400 \ln \left(2\right)-75 x +5400\right) \ln \left(x -1\right)}{x -75}+7200 \ln \left(2\right) \ln \left(x -1\right)+7200 \ln \left(x -1\right)$&$50$\\ derivativedivides&$100 \ln \left(2\right) \ln \left(x -1\right) \left(x -1\right)+\frac{270000 \ln \left(2\right) \ln \left(x -1\right) \left(x -1\right)}{37 \left(x -75\right)}+\frac{100 \ln \left(2\right) \ln \left(x -1\right)}{37}+100 \left(x -1\right) \ln \left(x -1\right)+\frac{270000 \ln \left(x -1\right) \left(x -1\right)}{37 \left(x -75\right)}+\frac{100 \ln \left(x -1\right)}{37}$&$66$\\ default&$100 \ln \left(2\right) \ln \left(x -1\right) \left(x -1\right)+\frac{270000 \ln \left(2\right) \ln \left(x -1\right) \left(x -1\right)}{37 \left(x -75\right)}+\frac{100 \ln \left(2\right) \ln \left(x -1\right)}{37}+100 \left(x -1\right) \ln \left(x -1\right)+\frac{270000 \ln \left(x -1\right) \left(x -1\right)}{37 \left(x -75\right)}+\frac{100 \ln \left(x -1\right)}{37}$&$66$\\ \hline \end{longtable}"," ",0,"((100+100*ln(2))*x^2*ln(x-1)+(-300-300*ln(2))*x*ln(x-1))/(x-75)","A"
9464,1,38,27,0.243000," ","int((224*exp(5)^2*exp(x)^2+(-4*x^3+32*x^2-56*x+40)*exp(5)*exp(x))/((16*x^2-512*x+4096)*exp(5)^2*exp(x)^2+(8*x^3-168*x^2+640*x)*exp(5)*exp(x)+x^4-10*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{8 \,{\mathrm e}^{5} {\mathrm e}^{x}-4 x \,{\mathrm e}^{5} {\mathrm e}^{x}}{4 x \,{\mathrm e}^{5} {\mathrm e}^{x}-64 \,{\mathrm e}^{5} {\mathrm e}^{x}+x^{2}-5 x}$&$38$\\ risch&$-\frac{14}{x -16}+\frac{\left(x^{2}-7 x +10\right) x}{\left(x -16\right) \left(4 x \,{\mathrm e}^{5+x}-64 \,{\mathrm e}^{5+x}+x^{2}-5 x \right)}$&$46$\\ \hline \end{longtable}"," ",0,"(8*exp(5)*exp(x)-4*x*exp(5)*exp(x))/(4*x*exp(5)*exp(x)-64*exp(5)*exp(x)+x^2-5*x)","A"
9465,1,12,12,0.580000," ","int((10*exp(1)-5*x-4)/(8*exp(1)-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5 x}{4}+\ln \left(-2 \,{\mathrm e}+x \right)$&$12$\\ risch&$\frac{5 x}{4}+\ln \left(-2 \,{\mathrm e}+x \right)$&$12$\\ norman&$\frac{5 x}{4}+\ln \left(8 \,{\mathrm e}-4 x \right)$&$14$\\ meijerg&$-\frac{5 \,{\mathrm e} \ln \left(1-\frac{{\mathrm e}^{-1} x}{2}\right)}{2}+\ln \left(1-\frac{{\mathrm e}^{-1} x}{2}\right)-\frac{5 \,{\mathrm e} \left(-\frac{{\mathrm e}^{-1} x}{2}-\ln \left(1-\frac{{\mathrm e}^{-1} x}{2}\right)\right)}{2}$&$42$\\ \hline \end{longtable}"," ",0,"5/4*x+ln(-2*exp(1)+x)","A"
9466,1,395,28,0.400000," ","int((((162*x^3-1503*x^2+2880*x+2925)*ln(x)^2+(-18*x^3+77*x^2+65*x)*ln(x))*ln(((-9*x+45)*ln(x)+x)/ln(x)/(x-5))^2+((18*x^2-180*x+450)*ln(x)^2+(-2*x^2+10*x)*ln(x))*ln(((-9*x+45)*ln(x)+x)/ln(x)/(x-5))-10*x*ln(x)-2*x^2+10*x)/((9*x^2-90*x+225)*ln(x)^2+(-x^2+5*x)*ln(x))/ln(((-9*x+45)*ln(x)+x)/ln(x)/(x-5))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 x^{2}+13 x +\frac{4 i x}{\pi  \,\mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(i \left(\left(\ln \left(x \right)-\frac{1}{9}\right) x -5 \ln \left(x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)-\frac{1}{9}\right) x -5 \ln \left(x \right)\right)}{x -5}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)-\frac{1}{9}\right) x -5 \ln \left(x \right)\right)}{x -5}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)-\frac{1}{9}\right) x -5 \ln \left(x \right)\right)}{\ln \left(x \right) \left(x -5\right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\left(\ln \left(x \right)-\frac{1}{9}\right) x -5 \ln \left(x \right)\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)-\frac{1}{9}\right) x -5 \ln \left(x \right)\right)}{x -5}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)-\frac{1}{9}\right) x -5 \ln \left(x \right)\right)}{x -5}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)-\frac{1}{9}\right) x -5 \ln \left(x \right)\right)}{x -5}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)-\frac{1}{9}\right) x -5 \ln \left(x \right)\right)}{\ln \left(x \right) \left(x -5\right)}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)-\frac{1}{9}\right) x -5 \ln \left(x \right)\right)}{x -5}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)-\frac{1}{9}\right) x -5 \ln \left(x \right)\right)}{\ln \left(x \right) \left(x -5\right)}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-\pi  \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)-\frac{1}{9}\right) x -5 \ln \left(x \right)\right)}{\ln \left(x \right) \left(x -5\right)}\right)^{3}-\pi  \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)-\frac{1}{9}\right) x -5 \ln \left(x \right)\right)}{\ln \left(x \right) \left(x -5\right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-2 \pi +4 i \ln \left(3\right)-2 i \ln \left(x -5\right)-2 i \ln \left(\ln \left(x \right)\right)+2 i \ln \left(\left(\ln \left(x \right)-\frac{1}{9}\right) x -5 \ln \left(x \right)\right)}$&$395$\\ \hline \end{longtable}"," ",0,"9*x^2+13*x+4*I*x/(Pi*csgn(I/(x-5))*csgn(I*((ln(x)-1/9)*x-5*ln(x)))*csgn(I/(x-5)*((ln(x)-1/9)*x-5*ln(x)))-Pi*csgn(I/(x-5))*csgn(I/(x-5)*((ln(x)-1/9)*x-5*ln(x)))^2+2*Pi*csgn(I/ln(x)*((ln(x)-1/9)*x-5*ln(x))/(x-5))^2-Pi*csgn(I*((ln(x)-1/9)*x-5*ln(x)))*csgn(I/(x-5)*((ln(x)-1/9)*x-5*ln(x)))^2+Pi*csgn(I/(x-5)*((ln(x)-1/9)*x-5*ln(x)))^3-Pi*csgn(I/(x-5)*((ln(x)-1/9)*x-5*ln(x)))*csgn(I/ln(x)*((ln(x)-1/9)*x-5*ln(x))/(x-5))^2+Pi*csgn(I/(x-5)*((ln(x)-1/9)*x-5*ln(x)))*csgn(I/ln(x)*((ln(x)-1/9)*x-5*ln(x))/(x-5))*csgn(I/ln(x))-Pi*csgn(I/ln(x)*((ln(x)-1/9)*x-5*ln(x))/(x-5))^3-Pi*csgn(I/ln(x)*((ln(x)-1/9)*x-5*ln(x))/(x-5))^2*csgn(I/ln(x))-2*Pi+4*I*ln(3)-2*I*ln(x-5)-2*I*ln(ln(x))+2*I*ln((ln(x)-1/9)*x-5*ln(x)))","C"
9467,1,24,25,0.700000," ","int(((-8*x^2*exp(5)-8*x^2+128*x)*exp(x)^2-2*x^3*exp(5)-2*x^3+32*x^2+16)*exp(4*exp(x)^2+x^2)/(x^2*exp(5)^2+(2*x^2-32*x)*exp(5)+x^2-32*x+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x \,{\mathrm e}^{4 \,{\mathrm e}^{2 x}+x^{2}}}{x \,{\mathrm e}^{5}+x -16}$&$24$\\ risch&$-\frac{x \,{\mathrm e}^{4 \,{\mathrm e}^{2 x}+x^{2}}}{x \,{\mathrm e}^{5}+x -16}$&$24$\\ \hline \end{longtable}"," ",0,"-x*exp(4*exp(x)^2+x^2)/(x*exp(5)+x-16)","A"
9468,1,30,21,0.695000," ","int((4*(x^2-6*x+8)*ln(2)^2+2*(12*x^2-36*x+12)*ln(2)+36*x^2)/(4*(x^2-6*x+9)*ln(2)^2+2*(12*x^2-36*x)*ln(2)+36*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{\ln \left(2\right) \left(\ln \left(2\right)-6\right)}{\left(3+\ln \left(2\right)\right) \left(x \ln \left(2\right)-3 \ln \left(2\right)+3 x \right)}$&$30$\\ gosper&$\frac{x \left(3 x \ln \left(2\right)-8 \ln \left(2\right)+9 x -6\right)}{3 x \ln \left(2\right)-9 \ln \left(2\right)+9 x}$&$32$\\ norman&$\frac{\left(3+\ln \left(2\right)\right) x^{2}+\left(-\frac{8 \ln \left(2\right)}{3}-2\right) x}{x \ln \left(2\right)-3 \ln \left(2\right)+3 x}$&$33$\\ risch&$x +\frac{\ln \left(2\right)^{2}}{\left(3+\ln \left(2\right)\right) \left(x \ln \left(2\right)-3 \ln \left(2\right)+3 x \right)}-\frac{6 \ln \left(2\right)}{\left(3+\ln \left(2\right)\right) \left(x \ln \left(2\right)-3 \ln \left(2\right)+3 x \right)}$&$52$\\ meijerg&$-\frac{3 \ln \left(2\right) \left(-\frac{x \left(3+\ln \left(2\right)\right) \left(-\frac{x \left(3+\ln \left(2\right)\right)}{\ln \left(2\right)}+6\right)}{9 \ln \left(2\right) \left(1-\frac{x \left(3+\ln \left(2\right)\right)}{3 \ln \left(2\right)}\right)}-2 \ln \left(1-\frac{x \left(3+\ln \left(2\right)\right)}{3 \ln \left(2\right)}\right)\right)}{3+\ln \left(2\right)}+\frac{\left(-24 \ln \left(2\right)^{2}-72 \ln \left(2\right)\right) \left(\frac{x \left(3+\ln \left(2\right)\right)}{3 \ln \left(2\right) \left(1-\frac{x \left(3+\ln \left(2\right)\right)}{3 \ln \left(2\right)}\right)}+\ln \left(1-\frac{x \left(3+\ln \left(2\right)\right)}{3 \ln \left(2\right)}\right)\right)}{4 \ln \left(2\right)^{2}+24 \ln \left(2\right)+36}+\frac{32 \left(3+\ln \left(2\right)\right)^{2} x}{9 \left(4 \ln \left(2\right)^{2}+24 \ln \left(2\right)+36\right) \left(1-\frac{x \left(3+\ln \left(2\right)\right)}{3 \ln \left(2\right)}\right)}+\frac{8 \left(3+\ln \left(2\right)\right)^{2} x}{3 \ln \left(2\right) \left(4 \ln \left(2\right)^{2}+24 \ln \left(2\right)+36\right) \left(1-\frac{x \left(3+\ln \left(2\right)\right)}{3 \ln \left(2\right)}\right)}$&$215$\\ \hline \end{longtable}"," ",0,"x+ln(2)*(ln(2)-6)/(3+ln(2))/(x*ln(2)-3*ln(2)+3*x)","A"
9469,1,30,21,0.056000," ","int(1/3*(-2*exp(-x+4)^2+2*exp(-x+4))*ln(4/exp(4))-2*exp(-x+4)^2+2*exp(-x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-\frac{4 \ln \left(2\right)}{3}+\frac{2}{3}\right) {\mathrm e}^{-x +4}+\left(\frac{2 \ln \left(2\right)}{3}-\frac{1}{3}\right) {\mathrm e}^{-2 x +8}$&$30$\\ derivativedivides&$-\frac{\left(2 \ln \left(4 \,{\mathrm e}^{-4}\right)+6\right) \left(-\frac{{\mathrm e}^{-2 x +8}}{2}+{\mathrm e}^{-x +4}\right)}{3}$&$31$\\ risch&$\frac{2 \,{\mathrm e}^{-2 x +8} \ln \left(2\right)}{3}-\frac{{\mathrm e}^{-2 x +8}}{3}-\frac{4 \,{\mathrm e}^{-x +4} \ln \left(2\right)}{3}+\frac{2 \,{\mathrm e}^{-x +4}}{3}$&$38$\\ default&${\mathrm e}^{-2 x +8}+\frac{\ln \left(4 \,{\mathrm e}^{-4}\right) {\mathrm e}^{-2 x +8}}{3}-\frac{2 \ln \left(4 \,{\mathrm e}^{-4}\right) {\mathrm e}^{-x +4}}{3}-2 \,{\mathrm e}^{-x +4}$&$50$\\ meijerg&$-\frac{{\mathrm e}^{-2 x +2 x \,{\mathrm e}^{8}} \left(\ln \left(4 \,{\mathrm e}^{-4}\right)+3\right) \left(1-{\mathrm e}^{-2 x \,{\mathrm e}^{8}}\right)}{3}+\left(\frac{2 \ln \left(4 \,{\mathrm e}^{-4}\right) {\mathrm e}^{4}}{3}+2 \,{\mathrm e}^{4}\right) \left(1-{\mathrm e}^{-x}\right)$&$54$\\ \hline \end{longtable}"," ",0,"(-4/3*ln(2)+2/3)*exp(-x+4)+(2/3*ln(2)-1/3)*exp(-x+4)^2","A"
9470,1,48,23,0.039000," ","int(((3*x-34)*ln(x^2)^4+2*ln(5)^2*ln(x^2)^2-4*ln(5)^2*ln(x^2))/((x^5-34*x^4+289*x^3)*ln(x^2)^4+(2*x^4-34*x^3)*ln(5)^2*ln(x^2)^2+x^3*ln(5)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{x^{2} \left(x -17\right)}+\frac{\ln \left(5\right)^{2}}{x^{2} \left(x -17\right) \left(x \ln \left(x^{2}\right)^{2}+\ln \left(5\right)^{2}-17 \ln \left(x^{2}\right)^{2}\right)}$&$48$\\ \hline \end{longtable}"," ",0,"-1/x^2/(x-17)+ln(5)^2/x^2/(x-17)/(x*ln(x^2)^2+ln(5)^2-17*ln(x^2)^2)","B"
9471,1,47,31,0.131000," ","int(((x^4+7*x^3+17*x^2+7*x+16)*ln(exp(4)/(x^8+14*x^7+82*x^6+238*x^5+337*x^4+224*x^3+256*x^2))+6*x^4+28*x^3+36*x^2+14*x)/((x^4+7*x^3+17*x^2+7*x+16)*ln(exp(4)/(x^8+14*x^7+82*x^6+238*x^5+337*x^4+224*x^3+256*x^2))^2+(-4*x^4-28*x^3-68*x^2-28*x-64)*ln(exp(4)/(x^8+14*x^7+82*x^6+238*x^5+337*x^4+224*x^3+256*x^2))+4*x^4+28*x^3+68*x^2+28*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{\ln \left(\frac{{\mathrm e}^{4}}{x^{8}+14 x^{7}+82 x^{6}+238 x^{5}+337 x^{4}+224 x^{3}+256 x^{2}}\right)-2}$&$47$\\ risch&$\frac{x}{\ln \left(\frac{{\mathrm e}^{4}}{x^{8}+14 x^{7}+82 x^{6}+238 x^{5}+337 x^{4}+224 x^{3}+256 x^{2}}\right)-2}$&$47$\\ \hline \end{longtable}"," ",0,"x/(ln(exp(4)/(x^8+14*x^7+82*x^6+238*x^5+337*x^4+224*x^3+256*x^2))-2)","A"
9472,1,50,23,0.528000," ","int(((-2*exp(1/15*exp(3))+2*exp(3)-2*x^2+2)*ln((-exp(1/15*exp(3))+exp(3)+x^2-4*x+1)/x)-32*exp(1/15*exp(3))+32*exp(3)-32*x^2+32)/(x*exp(1/15*exp(3))-x*exp(3)-x^3+4*x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{-{\mathrm e}^{\frac{{\mathrm e}^{3}}{15}}+{\mathrm e}^{3}+x^{2}-4 x +1}{x}\right)^{2}+32 \ln \left(\frac{-{\mathrm e}^{\frac{{\mathrm e}^{3}}{15}}+{\mathrm e}^{3}+x^{2}-4 x +1}{x}\right)$&$50$\\ default&\verb|error in gcdex: invalid arguments\|& N/A\\ \hline \end{longtable}"," ",0,"ln((-exp(1/15*exp(3))+exp(3)+x^2-4*x+1)/x)^2+32*ln((-exp(1/15*exp(3))+exp(3)+x^2-4*x+1)/x)","B"
9473,1,14,18,0.023000," ","int(-exp(x)-12*x^2+4/5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 x}{5}-4 x^{3}-{\mathrm e}^{x}$&$14$\\ norman&$\frac{4 x}{5}-4 x^{3}-{\mathrm e}^{x}$&$14$\\ risch&$\frac{4 x}{5}-4 x^{3}-{\mathrm e}^{x}$&$14$\\ \hline \end{longtable}"," ",0,"4/5*x-4*x^3-exp(x)","A"
9474,1,18,22,0.036000," ","int((90*ln(x)-45*x^3*exp(x+1)+50*x^3-45)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$50 x -\frac{45 \ln \left(x \right)}{x^{2}}-45 \,{\mathrm e}^{x +1}$&$18$\\ risch&$50 x -\frac{45 \ln \left(x \right)}{x^{2}}-45 \,{\mathrm e}^{x +1}$&$18$\\ norman&$\frac{50 x^{3}-45 x^{2} {\mathrm e}^{x +1}-45 \ln \left(x \right)}{x^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"50*x-45*ln(x)/x^2-45*exp(x+1)","A"
9475,1,27,23,0.592000," ","int((((-4*x^3-16*x)*ln(x^2+4)-6*x^4-4*x^3-26*x^2-8)*exp(x^2*ln(x^2+4)+x^3+x)^2+4*x^2+16)/(x^2+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\left(x^{2}+4\right)^{2 x^{2}} {\mathrm e}^{2 x \left(x^{2}+1\right)}+4 x$&$27$\\ \hline \end{longtable}"," ",0,"-((x^2+4)^(x^2))^2*exp(2*x*(x^2+1))+4*x","A"
9476,1,16,20,0.561000," ","int(((x-7)*ln(-12/(x-7))+x^3-7*x^2+x)/(x^3-7*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(-\frac{12}{x -7}\right)}{x}+x$&$16$\\ norman&$\frac{x^{2}-\ln \left(-\frac{12}{x -7}\right)}{x}$&$19$\\ derivativedivides&$\frac{12 \ln \left(-\frac{12}{x -7}\right)}{\left(x -7\right) \left(-12-\frac{84}{x -7}\right)}+x -7$&$30$\\ default&$\frac{12 \ln \left(-\frac{12}{x -7}\right)}{\left(x -7\right) \left(-12-\frac{84}{x -7}\right)}+x -7$&$30$\\ \hline \end{longtable}"," ",0,"-1/x*ln(-12/(x-7))+x","A"
9477,1,32,25,0.159000," ","int((-x*ln(x)^2+(exp(x)*x+x*exp(x-1))*ln(x)-exp(x)-exp(x-1)+2)/((x^2+4*x)*ln(x)^2+(-exp(x)*x-x*exp(x-1)+2*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(4+x \right)+\ln \left(\ln \left(x \right)\right)-\ln \left(\ln \left(x \right)-\frac{{\mathrm e}^{x -1}+{\mathrm e}^{x}-2}{4+x}\right)$&$32$\\ norman&$-\ln \left(x \,{\mathrm e} \ln \left(x \right)-{\mathrm e} \,{\mathrm e}^{x}+4 \,{\mathrm e} \ln \left(x \right)+2 \,{\mathrm e}-{\mathrm e}^{x}\right)+\ln \left(\ln \left(x \right)\right)$&$35$\\ \hline \end{longtable}"," ",0,"-ln(4+x)+ln(ln(x))-ln(ln(x)-(exp(x-1)+exp(x)-2)/(4+x))","A"
9478,1,25,22,2.215000," ","int(((4*x^3+16*x^2+24*x)*exp(exp(4)+x+11/3)-8*x^3-36*x^2+15)/(x^2+6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-4 x^{3}+4 \,{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}} x^{2}-15}{3+x}$&$25$\\ risch&$-4 x^{2}+12 x +\frac{93}{3+x}+\frac{4 x^{2} {\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}}}{3+x}$&$33$\\ derivativedivides&$-\frac{3071}{9 \left(-3 x -9\right)}+\frac{-156 \left({\mathrm e}^{4}+x +\frac{11}{3}\right)^{2}+312 \,{\mathrm e}^{8}+416 \,{\mathrm e}^{4}+\frac{416}{3}}{-3 x -9}+\frac{\left(36 \,{\mathrm e}^{4}+24\right) \left({\mathrm e}^{4}+x +\frac{11}{3}\right)^{2}+12 \left({\mathrm e}^{4}+x +\frac{11}{3}\right)^{3}-72 \,{\mathrm e}^{12}-144 \,{\mathrm e}^{8}-96 \,{\mathrm e}^{4}-\frac{64}{3}}{-3 x -9}-\frac{204 \,{\mathrm e}^{8}}{-3 x -9}-\frac{48 \,{\mathrm e}^{12}}{-3 x -9}-\frac{1892 \,{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}}}{9 \left(-3 x -9\right)}+\frac{1892 \,{\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)}{27}-\frac{208 \,{\mathrm e}^{4}}{-3 x -9}+\frac{-72 \left({\mathrm e}^{4}+x +\frac{11}{3}\right)^{2} {\mathrm e}^{4}+144 \,{\mathrm e}^{12}+192 \,{\mathrm e}^{8}+64 \,{\mathrm e}^{4}}{-3 x -9}+\frac{68 \,{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}} \left(3 \,{\mathrm e}^{4}+2\right)}{-3 x -9}-612 \left(\frac{{\mathrm e}^{4}}{9}+\frac{5}{27}\right) {\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)-28 \,{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}}-\frac{28 \,{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}} \left(9 \,{\mathrm e}^{8}+12 \,{\mathrm e}^{4}+4\right)}{3 \left(-3 x -9\right)}+28 \left({\mathrm e}^{8}+\frac{10 \,{\mathrm e}^{4}}{3}+\frac{16}{9}\right) {\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)+\frac{4 \left(9 \,{\mathrm e}^{4}+3 x +12\right) {\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}}}{3}+\frac{4 \,{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}} \left(27 \,{\mathrm e}^{12}+54 \,{\mathrm e}^{8}+36 \,{\mathrm e}^{4}+8\right)}{9 \left(-3 x -9\right)}-\frac{4 \left(3 \,{\mathrm e}^{12}+15 \,{\mathrm e}^{8}+16 \,{\mathrm e}^{4}+\frac{44}{9}\right) {\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)}{3}-612 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}}}{-9 x -27}-\frac{{\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)}{9}\right)-252 \,{\mathrm e}^{8} \left(\frac{{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}}}{-9 x -27}-\frac{{\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)}{9}\right)-36 \,{\mathrm e}^{12} \left(\frac{{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}}}{-9 x -27}-\frac{{\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)}{9}\right)+504 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}} \left(3 \,{\mathrm e}^{4}+2\right)}{-27 x -81}-\left(\frac{{\mathrm e}^{4}}{9}+\frac{5}{27}\right) {\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)\right)+108 \,{\mathrm e}^{8} \left(\frac{{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}} \left(3 \,{\mathrm e}^{4}+2\right)}{-27 x -81}-\left(\frac{{\mathrm e}^{4}}{9}+\frac{5}{27}\right) {\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)\right)-108 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}}}{9}+\frac{{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}} \left(9 \,{\mathrm e}^{8}+12 \,{\mathrm e}^{4}+4\right)}{-81 x -243}-\frac{\left({\mathrm e}^{8}+\frac{10 \,{\mathrm e}^{4}}{3}+\frac{16}{9}\right) {\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)}{9}\right)$&$629$\\ default&$-\frac{3071}{9 \left(-3 x -9\right)}+\frac{-156 \left({\mathrm e}^{4}+x +\frac{11}{3}\right)^{2}+312 \,{\mathrm e}^{8}+416 \,{\mathrm e}^{4}+\frac{416}{3}}{-3 x -9}+\frac{\left(36 \,{\mathrm e}^{4}+24\right) \left({\mathrm e}^{4}+x +\frac{11}{3}\right)^{2}+12 \left({\mathrm e}^{4}+x +\frac{11}{3}\right)^{3}-72 \,{\mathrm e}^{12}-144 \,{\mathrm e}^{8}-96 \,{\mathrm e}^{4}-\frac{64}{3}}{-3 x -9}-\frac{204 \,{\mathrm e}^{8}}{-3 x -9}-\frac{48 \,{\mathrm e}^{12}}{-3 x -9}-\frac{1892 \,{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}}}{9 \left(-3 x -9\right)}+\frac{1892 \,{\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)}{27}-\frac{208 \,{\mathrm e}^{4}}{-3 x -9}+\frac{-72 \left({\mathrm e}^{4}+x +\frac{11}{3}\right)^{2} {\mathrm e}^{4}+144 \,{\mathrm e}^{12}+192 \,{\mathrm e}^{8}+64 \,{\mathrm e}^{4}}{-3 x -9}+\frac{68 \,{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}} \left(3 \,{\mathrm e}^{4}+2\right)}{-3 x -9}-612 \left(\frac{{\mathrm e}^{4}}{9}+\frac{5}{27}\right) {\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)-28 \,{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}}-\frac{28 \,{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}} \left(9 \,{\mathrm e}^{8}+12 \,{\mathrm e}^{4}+4\right)}{3 \left(-3 x -9\right)}+28 \left({\mathrm e}^{8}+\frac{10 \,{\mathrm e}^{4}}{3}+\frac{16}{9}\right) {\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)+\frac{4 \left(9 \,{\mathrm e}^{4}+3 x +12\right) {\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}}}{3}+\frac{4 \,{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}} \left(27 \,{\mathrm e}^{12}+54 \,{\mathrm e}^{8}+36 \,{\mathrm e}^{4}+8\right)}{9 \left(-3 x -9\right)}-\frac{4 \left(3 \,{\mathrm e}^{12}+15 \,{\mathrm e}^{8}+16 \,{\mathrm e}^{4}+\frac{44}{9}\right) {\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)}{3}-612 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}}}{-9 x -27}-\frac{{\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)}{9}\right)-252 \,{\mathrm e}^{8} \left(\frac{{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}}}{-9 x -27}-\frac{{\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)}{9}\right)-36 \,{\mathrm e}^{12} \left(\frac{{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}}}{-9 x -27}-\frac{{\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)}{9}\right)+504 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}} \left(3 \,{\mathrm e}^{4}+2\right)}{-27 x -81}-\left(\frac{{\mathrm e}^{4}}{9}+\frac{5}{27}\right) {\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)\right)+108 \,{\mathrm e}^{8} \left(\frac{{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}} \left(3 \,{\mathrm e}^{4}+2\right)}{-27 x -81}-\left(\frac{{\mathrm e}^{4}}{9}+\frac{5}{27}\right) {\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)\right)-108 \,{\mathrm e}^{4} \left(\frac{{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}}}{9}+\frac{{\mathrm e}^{{\mathrm e}^{4}+x +\frac{11}{3}} \left(9 \,{\mathrm e}^{8}+12 \,{\mathrm e}^{4}+4\right)}{-81 x -243}-\frac{\left({\mathrm e}^{8}+\frac{10 \,{\mathrm e}^{4}}{3}+\frac{16}{9}\right) {\mathrm e}^{{\mathrm e}^{4}+\frac{2}{3}} \expIntegralEi \left(1, -3-x \right)}{9}\right)$&$629$\\ \hline \end{longtable}"," ",0,"(-4*x^3+4*exp(exp(4)+x+11/3)*x^2-15)/(3+x)","A"
9479,1,10,12,0.044000," ","int(1/6*(-ln(2)*ln(5)+ln(2))/x/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-\frac{\ln \left(5\right)}{6}+\frac{1}{6}\right) \ln \left(x \right)$&$10$\\ risch&$-\frac{\ln \left(5\right) \ln \left(x \right)}{6}+\frac{\ln \left(x \right)}{6}$&$12$\\ default&$\frac{\left(-\ln \left(2\right) \ln \left(5\right)+\ln \left(2\right)\right) \ln \left(x \right)}{6 \ln \left(2\right)}$&$18$\\ \hline \end{longtable}"," ",0,"(-1/6*ln(5)+1/6)*ln(x)","A"
9480,1,27,22,0.251000," ","int((((x^2-x)*exp(x+1)*exp(4+x)-x^2*exp(x+1))*ln((-x^2+x)*exp(4+x)+x^2)+(x^2+x-1)*exp(x+1)*exp(4+x)-2*x*exp(x+1))/((x^2-x)*exp(4+x)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{-3} {\mathrm e}^{4+x} \ln \left(\left(-x^{2}+x \right) {\mathrm e}^{4+x}+x^{2}\right)$&$27$\\ risch&$\ln \left(\left({\mathrm e}^{4+x}-1\right) x -{\mathrm e}^{4+x}\right) {\mathrm e}^{x +1}+\ln \left(x \right) {\mathrm e}^{x +1}-i \mathrm{csgn}\left(i x \left(\left({\mathrm e}^{4+x}-1\right) x -{\mathrm e}^{4+x}\right)\right)^{2} \pi  \,{\mathrm e}^{x +1}-\frac{i \mathrm{csgn}\left(i x \left(\left({\mathrm e}^{4+x}-1\right) x -{\mathrm e}^{4+x}\right)\right) \mathrm{csgn}\left(i \left(\left({\mathrm e}^{4+x}-1\right) x -{\mathrm e}^{4+x}\right)\right) \mathrm{csgn}\left(i x \right) \pi  \,{\mathrm e}^{x +1}}{2}+\frac{i \mathrm{csgn}\left(i x \left(\left({\mathrm e}^{4+x}-1\right) x -{\mathrm e}^{4+x}\right)\right)^{2} \mathrm{csgn}\left(i x \right) \pi  \,{\mathrm e}^{x +1}}{2}+\frac{i \mathrm{csgn}\left(i x \left(\left({\mathrm e}^{4+x}-1\right) x -{\mathrm e}^{4+x}\right)\right)^{2} \mathrm{csgn}\left(i \left(\left({\mathrm e}^{4+x}-1\right) x -{\mathrm e}^{4+x}\right)\right) \pi  \,{\mathrm e}^{x +1}}{2}+\frac{i \mathrm{csgn}\left(i x \left(\left({\mathrm e}^{4+x}-1\right) x -{\mathrm e}^{4+x}\right)\right)^{3} \pi  \,{\mathrm e}^{x +1}}{2}+i \pi  \,{\mathrm e}^{x +1}$&$234$\\ \hline \end{longtable}"," ",0,"1/exp(3)*exp(4+x)*ln((-x^2+x)*exp(4+x)+x^2)","A"
9481,0,0,27,0.079000," ","int((((4*x^2+22*x)*ln(x)+72*x*ln(2)+(-12*x^3-72*x^2-30*x)*exp(4)+2*x+10)*ln(1/6*((-x-5)*ln(x)-18*ln(2)+(3*x^2+15*x)*exp(4))/ln(2))+(8*x^3+44*x^2)*ln(x)+144*x^2*ln(2)+(-24*x^4-144*x^3-60*x^2)*exp(4)+4*x^2+20*x)/((x^2+5*x)*ln(x)+18*x*ln(2)+(-3*x^3-15*x^2)*exp(4)),x)","\[\int \frac{\left(\left(4 x^{2}+22 x \right) \ln \left(x \right)+72 x \ln \left(2\right)+\left(-12 x^{3}-72 x^{2}-30 x \right) {\mathrm e}^{4}+2 x +10\right) \ln \left(\frac{\left(-x -5\right) \ln \left(x \right)-18 \ln \left(2\right)+\left(3 x^{2}+15 x \right) {\mathrm e}^{4}}{6 \ln \left(2\right)}\right)+\left(8 x^{3}+44 x^{2}\right) \ln \left(x \right)+144 x^{2} \ln \left(2\right)+\left(-24 x^{4}-144 x^{3}-60 x^{2}\right) {\mathrm e}^{4}+4 x^{2}+20 x}{\left(x^{2}+5 x \right) \ln \left(x \right)+18 x \ln \left(2\right)+\left(-3 x^{3}-15 x^{2}\right) {\mathrm e}^{4}}\, dx\]"," ",0,"int((((4*x^2+22*x)*ln(x)+72*x*ln(2)+(-12*x^3-72*x^2-30*x)*exp(4)+2*x+10)*ln(1/6*((-x-5)*ln(x)-18*ln(2)+(3*x^2+15*x)*exp(4))/ln(2))+(8*x^3+44*x^2)*ln(x)+144*x^2*ln(2)+(-24*x^4-144*x^3-60*x^2)*exp(4)+4*x^2+20*x)/((x^2+5*x)*ln(x)+18*x*ln(2)+(-3*x^3-15*x^2)*exp(4)),x)","F"
9482,1,13,19,0.059000," ","int((-x^2*exp(-ln(4*x)+x)-x-1)/(x^3*exp(-ln(4*x)+x)^2+(2*x^2*ln(x)+2*x^2*exp(1)+2*x^3)*exp(-ln(4*x)+x)+x*ln(x)^2+(2*x*exp(1)+2*x^2)*ln(x)+x*exp(1)^2+2*x^2*exp(1)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{\frac{{\mathrm e}^{x}}{4}+{\mathrm e}+x +\ln \left(x \right)}$&$13$\\ \hline \end{longtable}"," ",0,"1/(1/4*exp(x)+exp(1)+x+ln(x))","A"
9483,1,18,17,0.246000," ","int(((-32*ln(x)*ln(ln(x))-8*x^2*ln(x))*ln(ln(ln(x))+1/4*x^2)-8*x^2*ln(x)-16)/(36*x^5*ln(x)*ln(ln(x))+9*x^7*ln(x))/ln(ln(ln(x))+1/4*x^2)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2}{9 x^{4} \ln \left(\ln \left(\ln \left(x \right)\right)+\frac{x^{2}}{4}\right)^{2}}$&$18$\\ \hline \end{longtable}"," ",0,"2/9/x^4/ln(ln(ln(x))+1/4*x^2)^2","A"
9484,1,87,27,0.176000," ","int(((5-x)*exp(2)*ln(25/2)*ln(5-x)*ln(x^2)+((-2*x+10)*exp(2)+4*x-20)*ln(25/2)*ln(5-x)-exp(2)*ln(25/2))/(x-5)/exp(2)/ln(5-x)^2/exp((x*exp(2)*ln(x^2)-4*x)/exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(-2 \ln \left(5\right)+\ln \left(2\right)\right) {\mathrm e}^{-\frac{x \left(-i {\mathrm e}^{2} \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i {\mathrm e}^{2} \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i {\mathrm e}^{2} \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+4 \,{\mathrm e}^{2} \ln \left(x \right)-8\right) {\mathrm e}^{-2}}{2}}}{\ln \left(5-x \right)}$&$87$\\ \hline \end{longtable}"," ",0,"-(-2*ln(5)+ln(2))/ln(5-x)*exp(-1/2*x*(-I*exp(2)*Pi*csgn(I*x^2)^3+2*I*exp(2)*Pi*csgn(I*x^2)^2*csgn(I*x)-I*exp(2)*Pi*csgn(I*x^2)*csgn(I*x)^2+4*exp(2)*ln(x)-8)*exp(-2))","C"
9485,1,14,13,0.018000," ","int(1/3*((8*x-4)*exp(4*x)*ln(x)-2*exp(4*x))/x^3/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{4 x}}{3 \ln \left(x \right) x^{2}}$&$14$\\ \hline \end{longtable}"," ",0,"2/3*exp(4*x)/ln(x)/x^2","A"
9486,1,54,26,0.504000," ","int(((4*(x-3)*ln(2)^2+2*(2*x^2-12*x+18)*ln(2)+x^3-11*x^2+27*x-27)*exp((3-2*x)/x)*exp(2/(2*ln(2)+x-3))+(4*(-2*x^2+3*x)*ln(2)^2+2*(-4*x^3+18*x^2-18*x)*ln(2)-2*x^4+15*x^3-36*x^2+27*x)*exp((3-2*x)/x))/(4*x*ln(2)^2+2*(2*x^2-6*x)*ln(2)+x^3-6*x^2+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2} {\mathrm e}^{-\frac{2 x -3}{x}}+x \,{\mathrm e}^{-\frac{4 x \ln \left(2\right)+2 x^{2}-6 \ln \left(2\right)-11 x +9}{x \left(2 \ln \left(2\right)+x -3\right)}}$&$54$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{3-2 x}{x}} {\mathrm e}^{\frac{2}{2 \ln \left(2\right)+x -3}}+\left(3-2 \ln \left(2\right)\right) x^{2} {\mathrm e}^{\frac{3-2 x}{x}}+\left(2 \ln \left(2\right)-3\right) x \,{\mathrm e}^{\frac{3-2 x}{x}} {\mathrm e}^{\frac{2}{2 \ln \left(2\right)+x -3}}-x^{3} {\mathrm e}^{\frac{3-2 x}{x}}}{2 \ln \left(2\right)+x -3}$&$103$\\ \hline \end{longtable}"," ",0,"-x^2*exp(-(2*x-3)/x)+x*exp(-(4*x*ln(2)+2*x^2-6*ln(2)-11*x+9)/x/(2*ln(2)+x-3))","B"
9487,1,12,14,0.016000," ","int((2*x^2+3*x+3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+3 x +3 \ln \left(x \right)$&$12$\\ norman&$x^{2}+3 x +3 \ln \left(x \right)$&$12$\\ risch&$x^{2}+3 x +3 \ln \left(x \right)$&$12$\\ \hline \end{longtable}"," ",0,"x^2+3*x+3*ln(x)","A"
9488,1,16,12,0.055000," ","int((375*x*exp(15*x-25)*ln(x)+25*exp(15*x-25)+175)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$25 \,{\mathrm e}^{15 x -25} \ln \left(x \right)+175 \ln \left(x \right)$&$16$\\ norman&$25 \,{\mathrm e}^{15 x -25} \ln \left(x \right)+175 \ln \left(x \right)$&$16$\\ risch&$25 \,{\mathrm e}^{15 x -25} \ln \left(x \right)+175 \ln \left(x \right)$&$16$\\ \hline \end{longtable}"," ",0,"25*exp(15*x-25)*ln(x)+175*ln(x)","A"
9489,1,427,37,0.249000," ","int((((-18*exp(-x-1)^2-15*x*exp(-x-1)-3*x^2)*ln(x)+18*exp(-x-1)^2+15*x*exp(-x-1)+3*x^2)*ln((3*x*exp(-x-1)+x^2)/(2*exp(-x-1)+x))+((18*exp(3)-18)*exp(-x-1)^2+(15*x*exp(3)+3*x^2-12*x)*exp(-x-1)+3*x^2*exp(3)-3*x^2)*ln(x)+(-18*exp(3)+18*x)*exp(-x-1)^2+(-15*x*exp(3)-3*x^3+12*x^2)*exp(-x-1)-3*x^2*exp(3)+3*x^3)/((6*x^2*exp(-x-1)^2+5*x^3*exp(-x-1)+x^4)*ln((3*x*exp(-x-1)+x^2)/(2*exp(-x-1)+x))^2+(-12*x^2*exp(3)*exp(-x-1)^2-10*x^3*exp(3)*exp(-x-1)-2*x^4*exp(3))*ln((3*x*exp(-x-1)+x^2)/(2*exp(-x-1)+x))+6*x^2*exp(3)^2*exp(-x-1)^2+5*x^3*exp(3)^2*exp(-x-1)+x^4*exp(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{6 \left(x -\ln \left(x \right)\right)}{x \left(-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(3 \,{\mathrm e}^{-x -1}+x \right)}{2 \,{\mathrm e}^{-x -1}+x}\right) \mathrm{csgn}\left(\frac{i x \left(3 \,{\mathrm e}^{-x -1}+x \right)}{2 \,{\mathrm e}^{-x -1}+x}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(3 \,{\mathrm e}^{-x -1}+x \right)}{2 \,{\mathrm e}^{-x -1}+x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i}{2 \,{\mathrm e}^{-x -1}+x}\right) \mathrm{csgn}\left(i \left(3 \,{\mathrm e}^{-x -1}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(3 \,{\mathrm e}^{-x -1}+x \right)}{2 \,{\mathrm e}^{-x -1}+x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{2 \,{\mathrm e}^{-x -1}+x}\right) \mathrm{csgn}\left(\frac{i \left(3 \,{\mathrm e}^{-x -1}+x \right)}{2 \,{\mathrm e}^{-x -1}+x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(3 \,{\mathrm e}^{-x -1}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(3 \,{\mathrm e}^{-x -1}+x \right)}{2 \,{\mathrm e}^{-x -1}+x}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i \left(3 \,{\mathrm e}^{-x -1}+x \right)}{2 \,{\mathrm e}^{-x -1}+x}\right)^{3}+i \pi  \,\mathrm{csgn}\left(\frac{i \left(3 \,{\mathrm e}^{-x -1}+x \right)}{2 \,{\mathrm e}^{-x -1}+x}\right) \mathrm{csgn}\left(\frac{i x \left(3 \,{\mathrm e}^{-x -1}+x \right)}{2 \,{\mathrm e}^{-x -1}+x}\right)^{2}-i \pi  \mathrm{csgn}\left(\frac{i x \left(3 \,{\mathrm e}^{-x -1}+x \right)}{2 \,{\mathrm e}^{-x -1}+x}\right)^{3}-2 \,{\mathrm e}^{3}+2 \ln \left(x \right)-2 \ln \left(2 \,{\mathrm e}^{-x -1}+x \right)+2 \ln \left(3 \,{\mathrm e}^{-x -1}+x \right)\right)}$&$427$\\ \hline \end{longtable}"," ",0,"-6*(x-ln(x))/x/(-I*Pi*csgn(I*x)*csgn(I*(3*exp(-x-1)+x)/(2*exp(-x-1)+x))*csgn(I*x/(2*exp(-x-1)+x)*(3*exp(-x-1)+x))+I*Pi*csgn(I*x)*csgn(I*x/(2*exp(-x-1)+x)*(3*exp(-x-1)+x))^2-I*Pi*csgn(I/(2*exp(-x-1)+x))*csgn(I*(3*exp(-x-1)+x))*csgn(I*(3*exp(-x-1)+x)/(2*exp(-x-1)+x))+I*Pi*csgn(I/(2*exp(-x-1)+x))*csgn(I*(3*exp(-x-1)+x)/(2*exp(-x-1)+x))^2+I*Pi*csgn(I*(3*exp(-x-1)+x))*csgn(I*(3*exp(-x-1)+x)/(2*exp(-x-1)+x))^2-I*Pi*csgn(I*(3*exp(-x-1)+x)/(2*exp(-x-1)+x))^3+I*Pi*csgn(I*(3*exp(-x-1)+x)/(2*exp(-x-1)+x))*csgn(I*x/(2*exp(-x-1)+x)*(3*exp(-x-1)+x))^2-I*Pi*csgn(I*x/(2*exp(-x-1)+x)*(3*exp(-x-1)+x))^3-2*exp(3)+2*ln(x)-2*ln(2*exp(-x-1)+x)+2*ln(3*exp(-x-1)+x))","C"
9490,1,11,17,0.025000," ","int((-15*x^2+10*x)*exp(15/4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-5 \,{\mathrm e}^{\frac{15}{4}} \left(x -1\right) x^{2}$&$11$\\ default&${\mathrm e}^{\frac{15}{4}} \left(-5 x^{3}+5 x^{2}\right)$&$15$\\ norman&$5 \,{\mathrm e}^{\frac{15}{4}} x^{2}-5 \,{\mathrm e}^{\frac{15}{4}} x^{3}$&$16$\\ risch&$5 \,{\mathrm e}^{\frac{15}{4}} x^{2}-5 \,{\mathrm e}^{\frac{15}{4}} x^{3}$&$16$\\ \hline \end{longtable}"," ",0,"-5*exp(15/4)*(x-1)*x^2","A"
9491,1,20,19,0.097000," ","int(1/9*((80*x^5+72*x^2+9)*exp(16/9*x^5+4*x^2)+9)*ln(x)+exp(16/9*x^5+4*x^2)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \left({\mathrm e}^{\frac{4 x^{2} \left(4 x^{3}+9\right)}{9}}+1\right) \ln \left(x \right)$&$20$\\ \hline \end{longtable}"," ",0,"x*(exp(4/9*x^2*(4*x^3+9))+1)*ln(x)","A"
9492,1,28,24,0.025000," ","int((-105*exp(x)*ln(x)^2+(25*x^2+55*x+105)*exp(x)*ln(x)+(-25*x^3+25*x^2+25*x-105)*exp(x))/(441*ln(x)^2-210*x^2*ln(x)+25*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \,{\mathrm e}^{x}}{21}+\frac{5 \left(5 x -21\right) x \,{\mathrm e}^{x}}{21 \left(5 x^{2}-21 \ln \left(x \right)\right)}$&$28$\\ \hline \end{longtable}"," ",0,"-5/21*exp(x)+5/21*(5*x-21)*x*exp(x)/(5*x^2-21*ln(x))","A"
9493,1,54,30,0.102000," ","int((((16*x+16)*exp(4/exp(x)/x)^4+(2*exp(x)*x^2-16*x^2+64*x+80)*exp(4/exp(x)/x)^2+(-2*x^3+10*x^2)*exp(x))*exp(-exp(4/exp(x)/x)^4+(2*x-10)*exp(4/exp(x)/x)^2-x^2+10*x-24)-exp(x)*x)/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)+{\mathrm e}^{2 \,{\mathrm e}^{\frac{8 \,{\mathrm e}^{-x}}{x}} x -x^{2}-{\mathrm e}^{\frac{16 \,{\mathrm e}^{-x}}{x}}-10 \,{\mathrm e}^{\frac{8 \,{\mathrm e}^{-x}}{x}}+10 x -24}$&$54$\\ \hline \end{longtable}"," ",0,"-ln(x)+exp(2*exp(8*exp(-x)/x)*x-x^2-exp(16*exp(-x)/x)-10*exp(8*exp(-x)/x)+10*x-24)","A"
9494,1,21,14,0.100000," ","int(((x-4)*ln(x^2)^2+((x-4)*ln(x-4)+x)*ln(x^2)+(-2*x+8)*ln(x-4))/(x-4)/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \ln \left(x^{2}\right)+x \ln \left(x -4\right)}{\ln \left(x^{2}\right)}$&$21$\\ risch&$\frac{2 i x \ln \left(x -4\right)}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)}+x$&$63$\\ \hline \end{longtable}"," ",0,"(x*ln(x^2)+x*ln(x-4))/ln(x^2)","A"
9495,1,34,17,0.062000," ","int(1/2*(15*x^5*exp(5/4*x^3)^2+(30*x^6-120*x^4+8*x^3+32*x)*exp(5/4*x^3)+16*x^4-256)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x^{2}+\frac{64}{x^{2}}+{\mathrm e}^{\frac{5 x^{3}}{2}}+\frac{4 \left(x^{2}-4\right) {\mathrm e}^{\frac{5 x^{3}}{4}}}{x}$&$34$\\ norman&$\frac{64+x^{2} {\mathrm e}^{\frac{5 x^{3}}{2}}+4 x^{4}-16 \,{\mathrm e}^{\frac{5 x^{3}}{4}} x +4 \,{\mathrm e}^{\frac{5 x^{3}}{4}} x^{3}}{x^{2}}$&$44$\\ \hline \end{longtable}"," ",0,"4*x^2+64/x^2+exp(5/2*x^3)+4*(x^2-4)/x*exp(5/4*x^3)","A"
9496,1,24,26,0.087000," ","int(((-15*x^2-24*x+18)*exp((-5*x^3-12*x^2+18*x+35)/ln(ln(5)))-ln(ln(5)))/ln(ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{-\frac{\left(5 x +7\right) \left(x^{2}+x -5\right)}{\ln \left(\ln \left(5\right)\right)}}$&$24$\\ norman&$-x +{\mathrm e}^{\frac{-5 x^{3}-12 x^{2}+18 x +35}{\ln \left(\ln \left(5\right)\right)}}$&$27$\\ default&$\frac{\ln \left(\ln \left(5\right)\right) {\mathrm e}^{\frac{-5 x^{3}-12 x^{2}+18 x +35}{\ln \left(\ln \left(5\right)\right)}}-x \ln \left(\ln \left(5\right)\right)}{\ln \left(\ln \left(5\right)\right)}$&$40$\\ \hline \end{longtable}"," ",0,"-x+exp(-(5*x+7)*(x^2+x-5)/ln(ln(5)))","A"
9497,1,23,16,1.826000," ","int(144*exp(2)*exp(16)^2/((9*exp(2)^2+18*exp(2)*x+9*x^2)*exp(16)^2+(-24*exp(2)*x-24*x^2)*exp(16)+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{48 \,{\mathrm e}^{16} x}{3 \,{\mathrm e}^{16} {\mathrm e}^{2}+3 x \,{\mathrm e}^{16}-4 x}$&$23$\\ risch&$-\frac{48 \,{\mathrm e}^{34}}{\left(3 \,{\mathrm e}^{16}-4\right) \left({\mathrm e}^{18}+x \,{\mathrm e}^{16}-\frac{4 x}{3}\right)}$&$25$\\ gosper&$-\frac{144 \,{\mathrm e}^{32} {\mathrm e}^{2}}{\left(3 \,{\mathrm e}^{16} {\mathrm e}^{2}+3 x \,{\mathrm e}^{16}-4 x \right) \left(3 \,{\mathrm e}^{16}-4\right)}$&$34$\\ meijerg&$\frac{16 \left(3 \,{\mathrm e}^{16}-4\right)^{2} {\mathrm e}^{-2} x}{\left(9 \,{\mathrm e}^{32}-24 \,{\mathrm e}^{16}+16\right) \left(1+\frac{x \,{\mathrm e}^{-18} \left(3 \,{\mathrm e}^{16}-4\right)}{3}\right)}$&$41$\\ \hline \end{longtable}"," ",0,"48*exp(16)*x/(3*exp(16)*exp(2)+3*x*exp(16)-4*x)","A"
9498,0,0,42,180.000000," ","int(((18*x+9)*ln(-1/(x^2+x))^18+((x^2+x)*exp(x)*ln(-1/(x^2+x))+(-18*x-9)*exp(x))*ln(-1/(x^2+x))^9+((-x^2-x)*exp(x)^2+16*x^2+16*x)*ln(-1/(x^2+x)))/(8*x^2+8*x)/ln(-1/(x^2+x)),x)","\[\int \frac{\left(18 x +9\right) \ln \left(-\frac{1}{x^{2}+x}\right)^{18}+\left(\left(x^{2}+x \right) {\mathrm e}^{x} \ln \left(-\frac{1}{x^{2}+x}\right)+\left(-18 x -9\right) {\mathrm e}^{x}\right) \ln \left(-\frac{1}{x^{2}+x}\right)^{9}+\left(\left(-x^{2}-x \right) {\mathrm e}^{2 x}+16 x^{2}+16 x \right) \ln \left(-\frac{1}{x^{2}+x}\right)}{\left(8 x^{2}+8 x \right) \ln \left(-\frac{1}{x^{2}+x}\right)}\, dx\]"," ",0,"int(((18*x+9)*ln(-1/(x^2+x))^18+((x^2+x)*exp(x)*ln(-1/(x^2+x))+(-18*x-9)*exp(x))*ln(-1/(x^2+x))^9+((-x^2-x)*exp(x)^2+16*x^2+16*x)*ln(-1/(x^2+x)))/(8*x^2+8*x)/ln(-1/(x^2+x)),x)","F"
9499,1,25,22,0.099000," ","int(((36*x+36)*ln(-1/(x+1))-24*x^3-84*x^2-24*x+45)/((36*x+36)*ln(-1/(x+1))^2+(48*x^3+48*x^2)*ln(-1/(x+1))+16*x^5+16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{15}{4}+3 x}{2 x^{2}+3 \ln \left(-\frac{1}{x +1}\right)}$&$25$\\ risch&$\frac{\frac{15}{4}+3 x}{2 x^{2}+3 \ln \left(-\frac{1}{x +1}\right)}$&$26$\\ \hline \end{longtable}"," ",0,"(15/4+3*x)/(2*x^2+3*ln(-1/(x+1)))","A"
9500,1,22,28,0.076000," ","int((-12*exp(3*x)+4)*exp(-4*exp(3*x)+4*x-16)+6*x+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 x +{\mathrm e}^{-4 \,{\mathrm e}^{3 x}+4 x -16}+3 x^{2}$&$22$\\ norman&$4 x +{\mathrm e}^{-4 \,{\mathrm e}^{3 x}+4 x -16}+3 x^{2}$&$22$\\ risch&$4 x +{\mathrm e}^{-4 \,{\mathrm e}^{3 x}+4 x -16}+3 x^{2}$&$22$\\ \hline \end{longtable}"," ",0,"4*x+exp(-4*exp(3*x)+4*x-16)+3*x^2","A"
9501,1,29,29,0.052000," ","int((4*(50*x^4+2)*ln(2)^2-8*ln(2)-2*x^4+2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(100 \ln \left(2\right)^{2}-1\right) x^{4}-4 \ln \left(2\right)^{2}+4 \ln \left(2\right)-1}{x^{2}}$&$29$\\ gosper&$\frac{100 x^{4} \ln \left(2\right)^{2}-x^{4}-4 \ln \left(2\right)^{2}+4 \ln \left(2\right)-1}{x^{2}}$&$31$\\ default&$\left(100 \ln \left(2\right)^{2}-1\right) x^{2}-\frac{4 \ln \left(2\right)^{2}-4 \ln \left(2\right)+1}{x^{2}}$&$31$\\ risch&$100 x^{2} \ln \left(2\right)^{2}-x^{2}-\frac{4 \ln \left(2\right)^{2}}{x^{2}}+\frac{4 \ln \left(2\right)}{x^{2}}-\frac{1}{x^{2}}$&$37$\\ \hline \end{longtable}"," ",0,"((100*ln(2)^2-1)*x^4-4*ln(2)^2+4*ln(2)-1)/x^2","A"
9502,1,29,24,0.126000," ","int(((x^4-27*x^3+206*x^2-738*x)*ln(1/x^2)+2*x^4-58*x^3+668*x^2-3420*x+5832)/(x^5-29*x^4+334*x^3-1710*x^2+2916*x)/ln(1/x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(\ln \left(\frac{1}{x^{2}}\right)\right)-2 \ln \left(x -9\right)+\ln \left(x^{3}-20 x^{2}+154 x -324\right)$&$29$\\ risch&$-\ln \left(\ln \left(\frac{1}{x^{2}}\right)\right)-2 \ln \left(x -9\right)+\ln \left(x^{3}-20 x^{2}+154 x -324\right)$&$29$\\ derivativedivides&$-\ln \left(\ln \left(\frac{1}{x^{2}}\right)\right)-\ln \left(\frac{1}{x}\right)-2 \ln \left(\frac{9}{x}-1\right)+\ln \left(\frac{324}{x^{3}}-\frac{154}{x^{2}}+\frac{20}{x}-1\right)$&$43$\\ default&$-\ln \left(\ln \left(\frac{1}{x^{2}}\right)\right)-\ln \left(\frac{1}{x}\right)-2 \ln \left(\frac{9}{x}-1\right)+\ln \left(\frac{324}{x^{3}}-\frac{154}{x^{2}}+\frac{20}{x}-1\right)$&$43$\\ \hline \end{longtable}"," ",0,"-ln(ln(1/x^2))-2*ln(x-9)+ln(x^3-20*x^2+154*x-324)","A"
9503,1,25,27,0.270000," ","int(((-8*x^3+12*x^2)*exp(5)-16*x+32)/((x^3-2*x^2)*exp(5)^2*ln(1-1/2*x)^2+((4*x^4-8*x^3)*exp(5)^2+(-8*x^2+16*x)*exp(5))*ln(1-1/2*x)+(4*x^5-8*x^4)*exp(5)^2+(-16*x^3+32*x^2)*exp(5)+16*x-32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 x}{{\mathrm e}^{5} \ln \left(1-\frac{x}{2}\right) x +2 x^{2} {\mathrm e}^{5}-4}$&$25$\\ risch&$\frac{4 x}{{\mathrm e}^{5} \ln \left(1-\frac{x}{2}\right) x +2 x^{2} {\mathrm e}^{5}-4}$&$25$\\ \hline \end{longtable}"," ",0,"4*x/(exp(5)*ln(1-1/2*x)*x+2*x^2*exp(5)-4)","A"
9504,1,18,23,0.060000," ","int(((exp(x)+8)*ln(x^2)^2-192*x^3*ln(x^2)+96*x^3)/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$8 x -\frac{48 x^{4}}{\ln \left(x^{2}\right)}+{\mathrm e}^{x}$&$18$\\ risch&$8 x +{\mathrm e}^{x}-\frac{96 i x^{4}}{\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+4 i \ln \left(x \right)}$&$65$\\ \hline \end{longtable}"," ",0,"8*x-48*x^4/ln(x^2)+exp(x)","A"
9505,1,142,30,0.290000," ","int(((-exp(x)*ln(x)*exp(x^2/exp(x))-x*exp(x)*ln(x)^2+x*exp(x)*ln(x))*ln(1/5*(exp(x^2/exp(x))+x*ln(x)-x)/ln(x))*ln(ln(1/5*(exp(x^2/exp(x))+x*ln(x)-x)/ln(x)))+((x^3-2*x^2)*ln(x)+exp(x))*exp(x^2/exp(x))-x*exp(x)*ln(x)^2+x*exp(x)*ln(x)-exp(x)*x)/(exp(x)*ln(x)*exp(x^2/exp(x))+x*exp(x)*ln(x)^2-x*exp(x)*ln(x))/ln(1/5*(exp(x^2/exp(x))+x*ln(x)-x)/ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(-\ln \left(5\right)-\ln \left(\ln \left(x \right)\right)+\ln \left(\left(\ln \left(x \right)-1\right) x +{\mathrm e}^{x^{2} {\mathrm e}^{-x}}\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)-1\right) x +{\mathrm e}^{x^{2} {\mathrm e}^{-x}}\right)}{\ln \left(x \right)}\right) \left(-\mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)-1\right) x +{\mathrm e}^{x^{2} {\mathrm e}^{-x}}\right)}{\ln \left(x \right)}\right)+\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(\left(\ln \left(x \right)-1\right) x +{\mathrm e}^{x^{2} {\mathrm e}^{-x}}\right)}{\ln \left(x \right)}\right)+\mathrm{csgn}\left(i \left(\left(\ln \left(x \right)-1\right) x +{\mathrm e}^{x^{2} {\mathrm e}^{-x}}\right)\right)\right)}{2}\right)$&$142$\\ \hline \end{longtable}"," ",0,"-x*ln(-ln(5)-ln(ln(x))+ln((ln(x)-1)*x+exp(x^2*exp(-x)))-1/2*I*Pi*csgn(I/ln(x)*((ln(x)-1)*x+exp(x^2*exp(-x))))*(-csgn(I/ln(x)*((ln(x)-1)*x+exp(x^2*exp(-x))))+csgn(I/ln(x)))*(-csgn(I/ln(x)*((ln(x)-1)*x+exp(x^2*exp(-x))))+csgn(I*((ln(x)-1)*x+exp(x^2*exp(-x))))))","C"
9506,1,1357,32,0.341000," ","int((((-x*exp(-x+4)+1)*ln((x*exp(-x+4)-1)/x/exp(-x+4))+x-1)*ln(exp(x)*x)+((-x^2-x)*exp(-x+4)+x+1)*ln((x*exp(-x+4)-1)/x/exp(-x+4)))/(x*exp(-x+4)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(x \right)^{2}+4 x \ln \left(x \right)+\left(-x \ln \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)+x \ln \left(x \right)+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{2}}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{3}}{2}+4 x \right) \ln \left({\mathrm e}^{x}\right)+\frac{\pi^{2} x \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{3} \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}}{4}-2 i x \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}+\frac{\pi^{2} x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)}{4}+\frac{i x \ln \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right) \ln \left(x \right)}{2}-\frac{i x \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)}{2}-\frac{\pi^{2} x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}}{4}-\frac{\pi^{2} x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}}{4}-\frac{\pi^{2} x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)}{4}-\frac{\pi^{2} x \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)}{4}-x \ln \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right) \ln \left(x \right)+\frac{\pi^{2} x \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)}{4}-\frac{i x \ln \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}}{2}+\frac{i x \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}}{2}+\frac{i x \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}}{2}-\frac{i x \ln \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}}{2}+\frac{\pi^{2} x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}}{4}+\frac{\pi^{2} x \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}}{4}+\frac{\pi^{2} x \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}}{4}+\frac{\pi^{2} x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}}{4}+\frac{\pi^{2} x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}}{4}-2 i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{2} \ln \left(x \right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{2} \ln \left(x \right)}{2}+2 i x \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+2 i x \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}+\frac{i x \ln \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right) \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}}{2}+\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{3} \ln \left(x \right)}{2}-\frac{i x \ln \left(x \right) \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}}{2}-\frac{\pi^{2} x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}}{4}-\frac{\pi^{2} x \,\mathrm{csgn}\left(i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{3}}{4}-\frac{\pi^{2} x \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{3} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}}{4}-\frac{\pi^{2} x \mathrm{csgn}\left(\frac{i \left(x \,{\mathrm e}^{4}-{\mathrm e}^{x}\right)}{x}\right)^{3} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x}\right)^{2}}{4}$&$1357$\\ \hline \end{longtable}"," ",0,"x*ln(x)^2+4*x*ln(x)+(-x*ln(x*exp(4)-exp(x))+x*ln(x)+1/2*I*Pi*x*csgn(I/x)*csgn(I*(x*exp(4)-exp(x)))*csgn(I/x*(x*exp(4)-exp(x)))-1/2*I*Pi*x*csgn(I/x)*csgn(I/x*(x*exp(4)-exp(x)))^2-1/2*I*Pi*x*csgn(I*(x*exp(4)-exp(x)))*csgn(I/x*(x*exp(4)-exp(x)))^2+1/2*I*Pi*x*csgn(I/x*(x*exp(4)-exp(x)))^3+4*x)*ln(exp(x))+1/4*Pi^2*x*csgn(I/x*(x*exp(4)-exp(x)))^3*csgn(I*x*exp(x))^3-2*I*x*Pi*csgn(I*x*exp(x))^3+1/4*Pi^2*x*csgn(I/x)*csgn(I*(x*exp(4)-exp(x)))*csgn(I/x*(x*exp(4)-exp(x)))*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))+1/2*I*x*ln(x*exp(4)-exp(x))*Pi*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))+1/2*I*Pi*x*csgn(I/x)*csgn(I*(x*exp(4)-exp(x)))*csgn(I/x*(x*exp(4)-exp(x)))*ln(x)-1/2*I*x*ln(x)*Pi*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))+1/4*Pi^2*x*csgn(I/x*(x*exp(4)-exp(x)))^3*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))-1/4*Pi^2*x*csgn(I/x)*csgn(I*(x*exp(4)-exp(x)))*csgn(I/x*(x*exp(4)-exp(x)))*csgn(I*x)*csgn(I*x*exp(x))^2-1/4*Pi^2*x*csgn(I/x)*csgn(I*(x*exp(4)-exp(x)))*csgn(I/x*(x*exp(4)-exp(x)))*csgn(I*exp(x))*csgn(I*x*exp(x))^2-1/4*Pi^2*x*csgn(I/x)*csgn(I/x*(x*exp(4)-exp(x)))^2*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))-1/4*Pi^2*x*csgn(I*(x*exp(4)-exp(x)))*csgn(I/x*(x*exp(4)-exp(x)))^2*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))-x*ln(x*exp(4)-exp(x))*ln(x)-1/2*I*x*ln(x*exp(4)-exp(x))*Pi*csgn(I*exp(x))*csgn(I*x*exp(x))^2+1/2*I*x*ln(x)*Pi*csgn(I*x)*csgn(I*x*exp(x))^2+1/2*I*x*ln(x)*Pi*csgn(I*exp(x))*csgn(I*x*exp(x))^2-1/2*I*x*ln(x*exp(4)-exp(x))*Pi*csgn(I*x)*csgn(I*x*exp(x))^2+1/4*Pi^2*x*csgn(I/x)*csgn(I/x*(x*exp(4)-exp(x)))^2*csgn(I*exp(x))*csgn(I*x*exp(x))^2+1/4*Pi^2*x*csgn(I*(x*exp(4)-exp(x)))*csgn(I/x*(x*exp(4)-exp(x)))^2*csgn(I*x)*csgn(I*x*exp(x))^2+1/4*Pi^2*x*csgn(I*(x*exp(4)-exp(x)))*csgn(I/x*(x*exp(4)-exp(x)))^2*csgn(I*exp(x))*csgn(I*x*exp(x))^2-1/4*Pi^2*x*csgn(I/x*(x*exp(4)-exp(x)))^3*csgn(I*x)*csgn(I*x*exp(x))^2-1/4*Pi^2*x*csgn(I/x*(x*exp(4)-exp(x)))^3*csgn(I*exp(x))*csgn(I*x*exp(x))^2+1/4*Pi^2*x*csgn(I/x)*csgn(I*(x*exp(4)-exp(x)))*csgn(I/x*(x*exp(4)-exp(x)))*csgn(I*x*exp(x))^3+1/4*Pi^2*x*csgn(I/x)*csgn(I/x*(x*exp(4)-exp(x)))^2*csgn(I*x)*csgn(I*x*exp(x))^2-2*I*x*Pi*csgn(I*x)*csgn(I*exp(x))*csgn(I*x*exp(x))-1/2*I*Pi*x*csgn(I/x)*csgn(I/x*(x*exp(4)-exp(x)))^2*ln(x)-1/2*I*Pi*x*csgn(I*(x*exp(4)-exp(x)))*csgn(I/x*(x*exp(4)-exp(x)))^2*ln(x)+2*I*x*Pi*csgn(I*x)*csgn(I*x*exp(x))^2+2*I*x*Pi*csgn(I*exp(x))*csgn(I*x*exp(x))^2+1/2*I*x*ln(x*exp(4)-exp(x))*Pi*csgn(I*x*exp(x))^3+1/2*I*Pi*x*csgn(I/x*(x*exp(4)-exp(x)))^3*ln(x)-1/2*I*x*ln(x)*Pi*csgn(I*x*exp(x))^3-1/4*Pi^2*x*csgn(I/x)*csgn(I/x*(x*exp(4)-exp(x)))^2*csgn(I*x*exp(x))^3-1/4*Pi^2*x*csgn(I*(x*exp(4)-exp(x)))*csgn(I/x*(x*exp(4)-exp(x)))^2*csgn(I*x*exp(x))^3","C"
9507,1,14,13,0.047000," ","int((-32*exp(x^2)*x-8)/(4*exp(x^2)^2+(4*x-64)*exp(x^2)+x^2-32*x+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{8}{-16+2 \,{\mathrm e}^{x^{2}}+x}$&$14$\\ risch&$\frac{8}{-16+2 \,{\mathrm e}^{x^{2}}+x}$&$14$\\ \hline \end{longtable}"," ",0,"8/(-16+2*exp(x^2)+x)","A"
9508,1,26,22,0.106000," ","int((800*ln(2)*exp(8*x*ln(2))*exp(exp(8*x*ln(2)))^2+(-160*x*ln(2)*exp(8*x*ln(2))-20)*exp(exp(8*x*ln(2)))+4*x)*ln(exp(exp(8*x*ln(2)))^2-2/5*x*exp(exp(8*x*ln(2)))+ln(2)+1/25*x^2+4)/(25*exp(exp(8*x*ln(2)))^2-10*x*exp(exp(8*x*ln(2)))+25*ln(2)+x^2+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{2 \,256^{x}}-\frac{2 x \,{\mathrm e}^{256^{x}}}{5}+\ln \left(2\right)+\frac{x^{2}}{25}+4\right)^{2}$&$26$\\ \hline \end{longtable}"," ",0,"ln(exp(2*256^x)-2/5*x*exp(256^x)+ln(2)+1/25*x^2+4)^2","A"
9509,1,30,26,0.056000," ","int(((100*x^2-1500*x+5775)*ln(x)-500*x^4+7700*x^3-28975*x^2+1520*x-5775)/(100*x^4-1540*x^3+5929*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{5775 x}{2}-10 x \ln \left(x \right)-50 x^{3}+75 \ln \left(x \right)}{x \left(10 x -77\right)}$&$30$\\ default&$-5 x +\frac{20 \ln \left(x \right)}{5929}-\frac{77}{10 x -77}-\frac{75 \ln \left(x \right)}{77 x}-\frac{200 \ln \left(x \right) x}{5929 \left(10 x -77\right)}$&$37$\\ risch&$-\frac{5 \left(2 x -15\right) \ln \left(x \right)}{x \left(10 x -77\right)}-\frac{50 x^{2}-385 x +77}{10 x -77}$&$40$\\ \hline \end{longtable}"," ",0,"(5775/2*x-10*x*ln(x)-50*x^3+75*ln(x))/x/(10*x-77)","A"
9510,1,27,27,0.035000," ","int(-9*ln(-x^2*exp(4)+x^2)-18*ln(2)+45/2*x-18,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{45 x^{2}}{4}-18 x \ln \left(2\right)-9 x \ln \left(-x^{2} {\mathrm e}^{4}+x^{2}\right)$&$27$\\ norman&$\frac{45 x^{2}}{4}-18 x \ln \left(2\right)-9 x \ln \left(-x^{2} {\mathrm e}^{4}+x^{2}\right)$&$27$\\ risch&$\frac{45 x^{2}}{4}-18 x \ln \left(2\right)-9 x \ln \left(-x^{2} {\mathrm e}^{4}+x^{2}\right)$&$27$\\ \hline \end{longtable}"," ",0,"45/4*x^2-18*x*ln(2)-9*x*ln(-x^2*exp(4)+x^2)","A"
9511,1,79,37,0.145000," ","int(((125*x^2+50*x)*exp(x)^5+(-400*x^3-300*x^2)*exp(x)^4+(450*x^4+600*x^3+600*x^2+400*x)*exp(x)^3+(-200*x^5-500*x^4-800*x^3-1200*x^2)*exp(x)^2+(25*x^6+150*x^5+200*x^4+800*x^3+400*x^2+800*x)*exp(x))*exp(25*x^2*exp(x)^5-100*x^3*exp(x)^4+(150*x^4+200*x^2)*exp(x)^3+(-100*x^5-400*x^3)*exp(x)^2+(25*x^6+200*x^4+400*x^2)*exp(x)-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{25 x^{6} {\mathrm e}^{x}-100 x^{5} {\mathrm e}^{2 x}+200 \,{\mathrm e}^{x} x^{4}+150 \,{\mathrm e}^{3 x} x^{4}-400 \,{\mathrm e}^{2 x} x^{3}-100 x^{3} {\mathrm e}^{4 x}+400 \,{\mathrm e}^{x} x^{2}+25 x^{2} {\mathrm e}^{5 x}+200 x^{2} {\mathrm e}^{3 x}-3}$&$79$\\ \hline \end{longtable}"," ",0,"exp(25*x^6*exp(x)-100*x^5*exp(2*x)+200*exp(x)*x^4+150*exp(3*x)*x^4-400*exp(2*x)*x^3-100*x^3*exp(4*x)+400*exp(x)*x^2+25*x^2*exp(5*x)+200*x^2*exp(3*x)-3)","B"
9512,0,0,20,0.010000," ","int(((-4*x*ln(x)^2-20)*ln((ln(x)*(x+1)-5)/ln(x))^3+(x+1)*ln(x)^2-5*ln(x))/((x^2+x)*ln(x)^2-5*x*ln(x)),x)","\[\int \frac{\left(-4 x \ln \left(x \right)^{2}-20\right) \ln \left(\frac{\ln \left(x \right) \left(x +1\right)-5}{\ln \left(x \right)}\right)^{3}+\left(x +1\right) \ln \left(x \right)^{2}-5 \ln \left(x \right)}{\left(x^{2}+x \right) \ln \left(x \right)^{2}-5 x \ln \left(x \right)}\, dx\]"," ",0,"int(((-4*x*ln(x)^2-20)*ln((ln(x)*(x+1)-5)/ln(x))^3+(x+1)*ln(x)^2-5*ln(x))/((x^2+x)*ln(x)^2-5*x*ln(x)),x)","F"
9513,0,0,31,0.021000," ","int((((x+1)*ln(2)^4+(-x^3-x^2)*ln(2)^2)*ln(x/(x+1))*ln(ln(x/(x+1)))*ln(ln(ln(x/(x+1))))-ln(2)^4+2*x*ln(2)^3-x^2*ln(2)^2+x)/(10*x^3+10*x^2)/ln(x/(x+1))/ln(ln(x/(x+1))),x)","\[\int \frac{\left(\left(x +1\right) \ln \left(2\right)^{4}+\left(-x^{3}-x^{2}\right) \ln \left(2\right)^{2}\right) \ln \left(\frac{x}{x +1}\right) \ln \left(\ln \left(\frac{x}{x +1}\right)\right) \ln \left(\ln \left(\ln \left(\frac{x}{x +1}\right)\right)\right)-\ln \left(2\right)^{4}+2 x \ln \left(2\right)^{3}-x^{2} \ln \left(2\right)^{2}+x}{\left(10 x^{3}+10 x^{2}\right) \ln \left(\frac{x}{x +1}\right) \ln \left(\ln \left(\frac{x}{x +1}\right)\right)}\, dx\]"," ",0,"int((((x+1)*ln(2)^4+(-x^3-x^2)*ln(2)^2)*ln(x/(x+1))*ln(ln(x/(x+1)))*ln(ln(ln(x/(x+1))))-ln(2)^4+2*x*ln(2)^3-x^2*ln(2)^2+x)/(10*x^3+10*x^2)/ln(x/(x+1))/ln(ln(x/(x+1))),x)","F"
9514,1,30,31,0.058000," ","int((((-x*exp(5-x)-3)*ln(x)+x*exp(2-x)*exp(5-x)+(3+x)*exp(2-x)+1)*exp(exp(5-x))-x^2*ln(x)+(x^3+x^2)*exp(2-x)+x^2)/((x*ln(x)-x*exp(2-x))*exp(exp(5-x))+x^3*ln(x)-x^3*exp(2-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 \ln \left(x \right)+\ln \left(-{\mathrm e}^{2-x}+\ln \left(x \right)\right)+\ln \left(x^{2}+{\mathrm e}^{{\mathrm e}^{5-x}}\right)$&$30$\\ \hline \end{longtable}"," ",0,"-3*ln(x)+ln(-exp(2-x)+ln(x))+ln(x^2+exp(exp(5-x)))","A"
9515,1,56,30,0.307000," ","int(((-x^6+3*x^5+3*x^4+3*x^2+6*x)*exp(exp(5))^2+(2*x^5-6*x^4-6*x^3-3*x-3)*exp(exp(5))-x^4+3*x^3+3*x^2)/((x^6-x^5-4*x^4-3*x^2)*exp(exp(5))^2+(-2*x^5+2*x^4+8*x^3+3*x)*exp(exp(5))+x^4-x^3-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\ln \left(-x^{2} {\mathrm e}^{{\mathrm e}^{5}}+x \right)+\ln \left(-{\mathrm e}^{{\mathrm e}^{5}} x^{4}+\left({\mathrm e}^{{\mathrm e}^{5}}+1\right) x^{3}+\left(-1+4 \,{\mathrm e}^{{\mathrm e}^{5}}\right) x^{2}-4 x +3 \,{\mathrm e}^{{\mathrm e}^{5}}\right)$&$56$\\ norman&$-x -\ln \left(x \right)-\ln \left(x \,{\mathrm e}^{{\mathrm e}^{5}}-1\right)+\ln \left({\mathrm e}^{{\mathrm e}^{5}} x^{4}-{\mathrm e}^{{\mathrm e}^{5}} x^{3}-4 x^{2} {\mathrm e}^{{\mathrm e}^{5}}-x^{3}+x^{2}-3 \,{\mathrm e}^{{\mathrm e}^{5}}+4 x \right)$&$60$\\ default&$-x -\ln \left(x \right)-\left(\munderset{\textit{\_R} =\RootOf \left({\mathrm e}^{2 \,{\mathrm e}^{5}} \textit{\_Z}^{5}-\left(2 \,{\mathrm e}^{{\mathrm e}^{5}}+{\mathrm e}^{2 \,{\mathrm e}^{5}}\right) \textit{\_Z}^{4}-\left(-2 \,{\mathrm e}^{{\mathrm e}^{5}}+4 \,{\mathrm e}^{2 \,{\mathrm e}^{5}}-1\right) \textit{\_Z}^{3}-\left(-8 \,{\mathrm e}^{{\mathrm e}^{5}}+1\right) \textit{\_Z}^{2}-\left(3 \,{\mathrm e}^{2 \,{\mathrm e}^{5}}+4\right) \textit{\_Z} +3 \,{\mathrm e}^{{\mathrm e}^{5}}\right)}{\sum}\frac{\left(-4+3 \,{\mathrm e}^{2 \,{\mathrm e}^{5}} \textit{\_R}^{4}+2 \left(-3 \,{\mathrm e}^{{\mathrm e}^{5}}-{\mathrm e}^{2 \,{\mathrm e}^{5}}\right) \textit{\_R}^{3}+\left(4 \,{\mathrm e}^{{\mathrm e}^{5}}-4 \,{\mathrm e}^{2 \,{\mathrm e}^{5}}+3\right) \textit{\_R}^{2}+2 \left(-1+4 \,{\mathrm e}^{{\mathrm e}^{5}}\right) \textit{\_R} +3 \,{\mathrm e}^{2 \,{\mathrm e}^{5}}\right) \ln \left(x -\textit{\_R} \right)}{-5 \,{\mathrm e}^{2 \,{\mathrm e}^{5}} \textit{\_R}^{4}+8 \,{\mathrm e}^{{\mathrm e}^{5}} \textit{\_R}^{3}+4 \,{\mathrm e}^{2 \,{\mathrm e}^{5}} \textit{\_R}^{3}-6 \textit{\_R}^{2} {\mathrm e}^{{\mathrm e}^{5}}+12 \,{\mathrm e}^{2 \,{\mathrm e}^{5}} \textit{\_R}^{2}-16 \textit{\_R} \,{\mathrm e}^{{\mathrm e}^{5}}-3 \textit{\_R}^{2}+3 \,{\mathrm e}^{2 \,{\mathrm e}^{5}}+2 \textit{\_R} +4}\right)$&$232$\\ \hline \end{longtable}"," ",0,"-x-ln(-x^2*exp(exp(5))+x)+ln(-exp(exp(5))*x^4+(exp(exp(5))+1)*x^3+(-1+4*exp(exp(5)))*x^2-4*x+3*exp(exp(5)))","A"
9516,1,17,22,0.081000," ","int(1/4*((18*x-18)*exp(3*x/exp(3))-exp(3))/exp(3)/exp(3*exp(3*x/exp(3))+5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x -1\right) {\mathrm e}^{-6 \,{\mathrm e}^{3 x \,{\mathrm e}^{-3}}-10}}{4}$&$17$\\ norman&$\left(\frac{1}{4}-\frac{x}{4}\right) {\mathrm e}^{-6 \,{\mathrm e}^{3 x \,{\mathrm e}^{-3}}-10}$&$22$\\ \hline \end{longtable}"," ",0,"-1/4*(x-1)*exp(-6*exp(3*x*exp(-3))-10)","A"
9517,1,19,21,0.079000," ","int((exp(x)*x-1)*exp(exp(x)-exp(14))/(3*x*exp(exp(x)-exp(14))+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(x \right)}{3}+\frac{\ln \left({\mathrm e}^{{\mathrm e}^{x}-{\mathrm e}^{14}}+x \right)}{3}$&$19$\\ risch&$-\frac{\ln \left(x \right)}{3}+\frac{{\mathrm e}^{14}}{3}+\frac{\ln \left({\mathrm e}^{{\mathrm e}^{x}-{\mathrm e}^{14}}+x \right)}{3}$&$23$\\ \hline \end{longtable}"," ",0,"-1/3*ln(x)+1/3*ln(exp(exp(x)-exp(14))+x)","A"
9518,1,82,28,0.072000," ","int(((100*x^6+300*x^5+200*x^4)*ln(4*x)^3+((-300*x^6-900*x^5-600*x^4)*ln(5)^2+2100*x^6+6300*x^5+4200*x^4-30*x^3)*ln(4*x)^2+((300*x^6+900*x^5+600*x^4)*ln(5)^4+(-4200*x^6-12600*x^5-8400*x^4+60*x^3)*ln(5)^2+14700*x^6+44100*x^5+29400*x^4-390*x^3+60*x^2-18)*ln(4*x)+(-100*x^6-300*x^5-200*x^4)*ln(5)^6+(2100*x^6+6300*x^5+4200*x^4-30*x^3)*ln(5)^4+(-14700*x^6-44100*x^5-29400*x^4+390*x^3-60*x^2+18)*ln(5)^2+34300*x^6+102900*x^5+68600*x^4-1260*x^3+420*x^2-144)/(25*x^3*ln(4*x)^3+(-75*x^3*ln(5)^2+525*x^3)*ln(4*x)^2+(75*x^3*ln(5)^4-1050*x^3*ln(5)^2+3675*x^3)*ln(4*x)-25*x^3*ln(5)^6+525*x^3*ln(5)^4-3675*x^3*ln(5)^2+8575*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}+4 x^{3}+4 x^{2}+\frac{\frac{6 x^{3} \ln \left(5\right)^{2}}{5}+\frac{12 x^{2} \ln \left(5\right)^{2}}{5}-\frac{6 x^{3} \ln \left(4 x \right)}{5}-\frac{42 x^{3}}{5}-\frac{12 x^{2} \ln \left(4 x \right)}{5}-\frac{84 x^{2}}{5}+\frac{9}{25}}{x^{2} \left(\ln \left(5\right)^{2}-7-\ln \left(4 x \right)\right)^{2}}$&$82$\\ \hline \end{longtable}"," ",0,"x^4+4*x^3+4*x^2+3/25*(10*x^3*ln(5)^2+20*x^2*ln(5)^2-10*x^3*ln(4*x)-70*x^3-20*x^2*ln(4*x)-140*x^2+3)/x^2/(ln(5)^2-7-ln(4*x))^2","B"
9519,1,15,14,0.019000," ","int(-ln(x)*exp(3)-4*exp(3)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -x \,{\mathrm e}^{3} \ln \left(x \right)-3 x \,{\mathrm e}^{3}$&$15$\\ risch&$x -x \,{\mathrm e}^{3} \ln \left(x \right)-3 x \,{\mathrm e}^{3}$&$15$\\ norman&$\left(1-3 \,{\mathrm e}^{3}\right) x -x \,{\mathrm e}^{3} \ln \left(x \right)$&$17$\\ \hline \end{longtable}"," ",0,"x-x*exp(3)*ln(x)-3*x*exp(3)","A"
9520,1,5,4,0.017000," ","int(exp(x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{x -5}$&$5$\\ derivativedivides&${\mathrm e}^{x -5}$&$5$\\ default&${\mathrm e}^{x -5}$&$5$\\ norman&${\mathrm e}^{x -5}$&$5$\\ risch&${\mathrm e}^{x -5}$&$5$\\ meijerg&$-{\mathrm e}^{-5} \left(1-{\mathrm e}^{x}\right)$&$11$\\ \hline \end{longtable}"," ",0,"exp(x-5)","A"
9521,1,21,22,0.166000," ","int((-640*x*exp(5)-80*x^3)/(ln(2)^2+(160*x^2*exp(5)+10*x^4+6)*ln(2)+6400*x^4*exp(5)^2+(800*x^6+480*x^2)*exp(5)+25*x^8+30*x^4+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4}{5 x^{4}+80 x^{2} {\mathrm e}^{5}+\ln \left(2\right)+3}$&$21$\\ norman&$\frac{4}{5 x^{4}+80 x^{2} {\mathrm e}^{5}+\ln \left(2\right)+3}$&$21$\\ risch&$\frac{1}{\frac{5 x^{4}}{4}+20 x^{2} {\mathrm e}^{5}+\frac{\ln \left(2\right)}{4}+\frac{3}{4}}$&$22$\\ default&$2 \left(\munderset{\textit{\_R} =\RootOf \left(25 \textit{\_Z}^{4}+800 \textit{\_Z}^{3} {\mathrm e}^{5}+\left(6400 \,{\mathrm e}^{10}+10 \ln \left(2\right)+30\right) \textit{\_Z}^{2}+\left(160 \,{\mathrm e}^{5} \ln \left(2\right)+480 \,{\mathrm e}^{5}\right) \textit{\_Z} +9+\ln \left(2\right)^{2}+6 \ln \left(2\right)\right)}{\sum}\frac{\left(-\textit{\_R} -8 \,{\mathrm e}^{5}\right) \ln \left(x^{2}-\textit{\_R} \right)}{5 \textit{\_R}^{3}+120 \textit{\_R}^{2} {\mathrm e}^{5}+640 \textit{\_R} \,{\mathrm e}^{10}+\textit{\_R} \ln \left(2\right)+8 \,{\mathrm e}^{5} \ln \left(2\right)+3 \textit{\_R} +24 \,{\mathrm e}^{5}}\right)$&$110$\\ \hline \end{longtable}"," ",0,"4/(5*x^4+80*x^2*exp(5)+ln(2)+3)","A"
9522,1,20,15,0.136000," ","int(1/10*((-x^2-2)*exp((x^2+2*x-2)/x)+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{10}-\frac{{\mathrm e}^{\frac{x^{2}+2 x -2}{x}}}{10}$&$20$\\ norman&$\frac{\frac{x^{2}}{10}-\frac{x \,{\mathrm e}^{\frac{x^{2}+2 x -2}{x}}}{10}}{x}$&$27$\\ \hline \end{longtable}"," ",0,"1/10*x-1/10*exp((x^2+2*x-2)/x)","A"
9523,1,42,23,0.189000," ","int((2*x^3+3*x^2)*ln(5)*exp(x-1)^2*exp((2*x^3*exp(x-1)^2-5*ln(5)-2*ln(3)-10)/(5*x^3*exp(x-1)^2-5*ln(3)-25))/(x^6*exp(x-1)^4+(-2*x^3*ln(3)-10*x^3)*exp(x-1)^2+ln(3)^2+10*ln(3)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-2 x^{3} {\mathrm e}^{2 x -2}+2 \ln \left(3\right)+5 \ln \left(5\right)+10}{-5 x^{3} {\mathrm e}^{2 x -2}+5 \ln \left(3\right)+25}}$&$42$\\ \hline \end{longtable}"," ",0,"exp(1/5*(-2*x^3*exp(2*x-2)+2*ln(3)+5*ln(5)+10)/(-x^3*exp(2*x-2)+ln(3)+5))","A"
9524,1,15,14,0.065000," ","int(((2*x^3-2500*x)*ln(1/125*x^2-10)-2*x^3)/(x^2-1250)/ln(1/125*x^2-10)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}}{\ln \left(\frac{x^{2}}{125}-10\right)}$&$15$\\ risch&$\frac{x^{2}}{\ln \left(\frac{x^{2}}{125}-10\right)}$&$15$\\ \hline \end{longtable}"," ",0,"x^2/ln(1/125*x^2-10)","A"
9525,1,21,12,0.108000," ","int((-2*x+2)*exp((5*x^2-10*x+1)/(x^2-2*x))/(x^4-4*x^3+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{5 x^{2}-10 x +1}{\left(x -2\right) x}}$&$21$\\ risch&${\mathrm e}^{\frac{5 x^{2}-10 x +1}{\left(x -2\right) x}}$&$21$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{5 x^{2}-10 x +1}{x^{2}-2 x}}-2 x \,{\mathrm e}^{\frac{5 x^{2}-10 x +1}{x^{2}-2 x}}}{\left(x -2\right) x}$&$60$\\ \hline \end{longtable}"," ",0,"exp((5*x^2-10*x+1)/(x-2)/x)","A"
9526,1,8,12,0.015000," ","int(-4*exp(3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \,{\mathrm e}^{3}}{x}$&$8$\\ default&$\frac{4 \,{\mathrm e}^{3}}{x}$&$8$\\ norman&$\frac{4 \,{\mathrm e}^{3}}{x}$&$8$\\ risch&$\frac{4 \,{\mathrm e}^{3}}{x}$&$8$\\ \hline \end{longtable}"," ",0,"4*exp(3)/x","A"
9527,1,27,20,0.065000," ","int(((-14*x^2-75)*ln(x)+14*x^2+25)/((14*x^3+25*x)*ln(x)-9*x^4*exp(exp(1))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-3 \ln \left(x \right)+\ln \left(9 x^{3} {\mathrm e}^{{\mathrm e}}-14 x^{2} \ln \left(x \right)-25 \ln \left(x \right)\right)$&$27$\\ risch&$-3 \ln \left(x \right)+\ln \left(14 x^{2}+25\right)+\ln \left(\ln \left(x \right)-\frac{9 x^{3} {\mathrm e}^{{\mathrm e}}}{14 x^{2}+25}\right)$&$35$\\ \hline \end{longtable}"," ",0,"-3*ln(x)+ln(9*x^3*exp(exp(1))-14*x^2*ln(x)-25*ln(x))","A"
9528,1,24,21,0.119000," ","int((9*x^2*exp(5+x)-x^2-45)*exp(1/5*(45*x*exp(5+x)-5*x^2+9*x+225)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{45 x \,{\mathrm e}^{5+x}-5 x^{2}+9 x +225}{5 x}}$&$24$\\ risch&${\mathrm e}^{-\frac{-45 x \,{\mathrm e}^{5+x}+5 x^{2}-9 x -225}{5 x}}$&$24$\\ \hline \end{longtable}"," ",0,"exp(1/5*(45*x*exp(5+x)-5*x^2+9*x+225)/x)","A"
9529,1,165,28,0.123000," ","int(((3*ln(x)^2+(15*x-3)*ln(x)+12*x^2-12*x)*ln((-1+ln(x)+x)/(4*x+ln(x)))-15*ln(x)^2+(-66*x+15)*ln(x)-60*x^2+39*x-3)*exp((-3*ln((-1+ln(x)+x)/(4*x+ln(x)))+15+3*x)/x)/(x^2*ln(x)^2+(5*x^3-x^2)*ln(x)+4*x^4-4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\frac{3 i \pi  \mathrm{csgn}\left(\frac{i \left(-1+\ln \left(x \right)+x \right)}{x +\frac{\ln \left(x \right)}{4}}\right)^{3}}{2}-\frac{3 i \pi  \mathrm{csgn}\left(\frac{i \left(-1+\ln \left(x \right)+x \right)}{x +\frac{\ln \left(x \right)}{4}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x +\frac{\ln \left(x \right)}{4}}\right)}{2}-\frac{3 i \pi  \mathrm{csgn}\left(\frac{i \left(-1+\ln \left(x \right)+x \right)}{x +\frac{\ln \left(x \right)}{4}}\right)^{2} \mathrm{csgn}\left(i \left(-1+\ln \left(x \right)+x \right)\right)}{2}+\frac{3 i \pi  \,\mathrm{csgn}\left(\frac{i \left(-1+\ln \left(x \right)+x \right)}{x +\frac{\ln \left(x \right)}{4}}\right) \mathrm{csgn}\left(\frac{i}{x +\frac{\ln \left(x \right)}{4}}\right) \mathrm{csgn}\left(i \left(-1+\ln \left(x \right)+x \right)\right)}{2}+6 \ln \left(2\right)+3 \ln \left(x +\frac{\ln \left(x \right)}{4}\right)-3 \ln \left(-1+\ln \left(x \right)+x \right)+3 x +15}{x}}$&$165$\\ \hline \end{longtable}"," ",0,"exp(3/2*(I*Pi*csgn(I/(x+1/4*ln(x))*(-1+ln(x)+x))^3-I*Pi*csgn(I/(x+1/4*ln(x))*(-1+ln(x)+x))^2*csgn(I/(x+1/4*ln(x)))-I*Pi*csgn(I/(x+1/4*ln(x))*(-1+ln(x)+x))^2*csgn(I*(-1+ln(x)+x))+I*Pi*csgn(I/(x+1/4*ln(x))*(-1+ln(x)+x))*csgn(I/(x+1/4*ln(x)))*csgn(I*(-1+ln(x)+x))+4*ln(2)+2*ln(x+1/4*ln(x))-2*ln(-1+ln(x)+x)+2*x+10)/x)","C"
9530,1,24,17,0.019000," ","int((2*x^4-6*x^3-40*x^2+44*x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{4}}{2}-2 x^{3}-20 x^{2}+44 x -\ln \left(x \right)$&$24$\\ norman&$\frac{x^{4}}{2}-2 x^{3}-20 x^{2}+44 x -\ln \left(x \right)$&$24$\\ risch&$\frac{x^{4}}{2}-2 x^{3}-20 x^{2}+44 x -\ln \left(x \right)$&$24$\\ \hline \end{longtable}"," ",0,"1/2*x^4-2*x^3-20*x^2+44*x-ln(x)","A"
9531,1,181,18,0.106000," ","int((((-3*x^2+2)*ln(x)^2-6*ln(x))*ln(1/3*((3*x^2-2)*ln(x)+6)/ln(x))+(3*x^2+2)*ln(x)^2-6*ln(x)-6)/((3*x^4-2*x^2)*ln(x)^2+6*x^2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x^{2} \ln \left(x \right)-\frac{2 \ln \left(x \right)}{3}+2\right)}{x}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(x^{2} \ln \left(x \right)-\frac{2 \ln \left(x \right)}{3}+2\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)-\frac{2 \ln \left(x \right)}{3}+2\right)}{\ln \left(x \right)}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)-\frac{2 \ln \left(x \right)}{3}+2\right)}{\ln \left(x \right)}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(x^{2} \ln \left(x \right)-\frac{2 \ln \left(x \right)}{3}+2\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)-\frac{2 \ln \left(x \right)}{3}+2\right)}{\ln \left(x \right)}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(x^{2} \ln \left(x \right)-\frac{2 \ln \left(x \right)}{3}+2\right)}{\ln \left(x \right)}\right)^{3}+2 \ln \left(\ln \left(x \right)\right)-2}{2 x}$&$181$\\ \hline \end{longtable}"," ",0,"1/x*ln(x^2*ln(x)-2/3*ln(x)+2)-1/2*(I*Pi*csgn(I/ln(x))*csgn(I*(x^2*ln(x)-2/3*ln(x)+2))*csgn(I/ln(x)*(x^2*ln(x)-2/3*ln(x)+2))-I*Pi*csgn(I/ln(x))*csgn(I/ln(x)*(x^2*ln(x)-2/3*ln(x)+2))^2-I*Pi*csgn(I*(x^2*ln(x)-2/3*ln(x)+2))*csgn(I/ln(x)*(x^2*ln(x)-2/3*ln(x)+2))^2+I*Pi*csgn(I/ln(x)*(x^2*ln(x)-2/3*ln(x)+2))^3+2*ln(ln(x))-2)/x","C"
9532,1,52,26,0.066000," ","int(((11664*x^2-46656)*ln(x)*ln(ln(x))^3+((34992*x^2-139968)*exp(x)-54*x^5-216*x^3)*ln(x)*ln(ln(x))^2+(((34992*x^2-139968)*exp(x)^2+(54*x^6-108*x^5-216*x^4-432*x^3)*exp(x)+2*x^6)*ln(x)+54*x^5-216*x^3)*ln(ln(x))+((11664*x^2-46656)*exp(x)^3+(54*x^6-54*x^5-216*x^4-216*x^3)*exp(x)^2+(-2*x^7+2*x^6)*exp(x))*ln(x)+(54*x^5-216*x^3)*exp(x)-2*x^6)/(x^5*ln(x)*ln(ln(x))^3+3*x^5*exp(x)*ln(x)*ln(ln(x))^2+3*x^5*exp(x)^2*ln(x)*ln(ln(x))+x^5*exp(x)^3*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5832 \left(x^{2}-2\right)}{x^{4}}+\frac{x^{3}-54 \,{\mathrm e}^{x} x^{2}-54 x^{2} \ln \left(\ln \left(x \right)\right)+216 \,{\mathrm e}^{x}+216 \ln \left(\ln \left(x \right)\right)}{\left(\ln \left(\ln \left(x \right)\right)+{\mathrm e}^{x}\right)^{2} x}$&$52$\\ \hline \end{longtable}"," ",0,"-5832*(x^2-2)/x^4+(x^3-54*exp(x)*x^2-54*x^2*ln(ln(x))+216*exp(x)+216*ln(ln(x)))/(ln(ln(x))+exp(x))^2/x","A"
9533,1,30,25,0.237000," ","int((((x^4-x^3)*exp(x-4)+2*x^3-x^2)*exp(exp(x-4))-2*x^3+22*x^2+12)/((x^4-x^3)*exp(exp(x-4))-x^4+22*x^3-9*x^2-12*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)+\ln \left(x -1\right)+\ln \left({\mathrm e}^{{\mathrm e}^{x -4}} x^{2}-x^{2}+21 x +12\right)$&$30$\\ risch&$\ln \left(x^{2}-x \right)+\ln \left({\mathrm e}^{{\mathrm e}^{x -4}}-\frac{x^{2}-21 x -12}{x^{2}}\right)$&$30$\\ \hline \end{longtable}"," ",0,"-ln(x)+ln(x-1)+ln(exp(exp(x-4))*x^2-x^2+21*x+12)","A"
9534,1,65,20,0.234000," ","int(1/128*((-x^10+5*x^9)*ln(x)*ln(3/ln(x))^2+((32*x^5-160*x^4)*exp(x)*ln(x)-x^9)*ln(3/ln(x))+32*exp(x)*x^4)/exp(x)^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{10} {\mathrm e}^{-2 x} \ln \left(\ln \left(x \right)\right)^{2}}{256}-\frac{x^{5} \left(2 x^{5} \ln \left(3\right)-64 \,{\mathrm e}^{x}\right) {\mathrm e}^{-2 x} \ln \left(\ln \left(x \right)\right)}{256}+\frac{x^{5} \left(4 x^{5} \ln \left(3\right)^{2}-256 \ln \left(3\right) {\mathrm e}^{x}\right) {\mathrm e}^{-2 x}}{1024}$&$65$\\ \hline \end{longtable}"," ",0,"1/256*x^10*exp(-2*x)*ln(ln(x))^2-1/256*x^5*(2*x^5*ln(3)-64*exp(x))*exp(-2*x)*ln(ln(x))+1/1024*x^5*(4*x^5*ln(3)^2-256*ln(3)*exp(x))*exp(-2*x)","B"
9535,1,14,16,0.077000," ","int((32*x-32)*exp(x-1)/(exp(x)^2-2*exp(x)*x+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{32 \,{\mathrm e}^{-1} x}{x -{\mathrm e}^{x}}$&$14$\\ norman&$\frac{32 \,{\mathrm e}^{-1} {\mathrm e}^{x}}{x -{\mathrm e}^{x}}$&$17$\\ \hline \end{longtable}"," ",0,"32*exp(-1)*x/(x-exp(x))","A"
9536,1,28,30,0.101000," ","int(((4*x*ln(5)-8*x^4)*ln(x)*ln(ln(x))+(ln(5)^2+(2*x^3+8*x)*ln(5)+x^6+8*x^4+16*x^2)*exp(exp(1+2*ln(2)))^2+4*x*ln(5)+4*x^4+16*x^2)/(x*ln(5)^2+(2*x^4+8*x^2)*ln(5)+x^7+8*x^5+16*x^3)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x \ln \left(\ln \left(x \right)\right)}{x^{3}+\ln \left(5\right)+4 x}+{\mathrm e}^{8 \,{\mathrm e}} \ln \left(\ln \left(x \right)\right)$&$28$\\ \hline \end{longtable}"," ",0,"4*x/(x^3+ln(5)+4*x)*ln(ln(x))+exp(8*exp(1))*ln(ln(x))","A"
9537,1,76,29,0.116000," ","int(((((8*x-24)*exp(4)+6-2*x)*exp(x)+4*exp(4)-1)*exp(exp(x))^2+(((8*x^2-40*x+48)*exp(4)-2*x^2+10*x-12)*exp(x)+(16*x-40)*exp(4)+10-4*x)*exp(exp(x))+(-32*x+52)*exp(4)+8*x-13)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-16 x^{2}+52 x +4 x^{2} {\mathrm e}^{-4}-13 x \,{\mathrm e}^{-4}+\left(4 x \,{\mathrm e}^{4}-12 \,{\mathrm e}^{4}-x +3\right) {\mathrm e}^{-4+2 \,{\mathrm e}^{x}}+\left(8 x^{2} {\mathrm e}^{4}-40 x \,{\mathrm e}^{4}-2 x^{2}+48 \,{\mathrm e}^{4}+10 x -12\right) {\mathrm e}^{{\mathrm e}^{x}-4}$&$76$\\ default&${\mathrm e}^{-4} \left(-13 x +{\mathrm e}^{4} \left(-16 x^{2}+52 x \right)+\left(-12 \,{\mathrm e}^{4}+3\right) {\mathrm e}^{2 \,{\mathrm e}^{x}}+\left(4 \,{\mathrm e}^{4}-1\right) x \,{\mathrm e}^{2 \,{\mathrm e}^{x}}+\left(48 \,{\mathrm e}^{4}-12\right) {\mathrm e}^{{\mathrm e}^{x}}+\left(-40 \,{\mathrm e}^{4}+10\right) x \,{\mathrm e}^{{\mathrm e}^{x}}+\left(8 \,{\mathrm e}^{4}-2\right) x^{2} {\mathrm e}^{{\mathrm e}^{x}}+4 x^{2}\right)$&$86$\\ norman&$\left(4 \,{\mathrm e}^{4}-1\right) {\mathrm e}^{-4} x \,{\mathrm e}^{2 \,{\mathrm e}^{x}}+13 \left(4 \,{\mathrm e}^{4}-1\right) {\mathrm e}^{-4} x -4 \left(4 \,{\mathrm e}^{4}-1\right) {\mathrm e}^{-4} x^{2}+12 \left(4 \,{\mathrm e}^{4}-1\right) {\mathrm e}^{-4} {\mathrm e}^{{\mathrm e}^{x}}-3 \left(4 \,{\mathrm e}^{4}-1\right) {\mathrm e}^{-4} {\mathrm e}^{2 \,{\mathrm e}^{x}}-10 \left(4 \,{\mathrm e}^{4}-1\right) {\mathrm e}^{-4} x \,{\mathrm e}^{{\mathrm e}^{x}}+2 \left(4 \,{\mathrm e}^{4}-1\right) {\mathrm e}^{-4} x^{2} {\mathrm e}^{{\mathrm e}^{x}}$&$113$\\ \hline \end{longtable}"," ",0,"-16*x^2+52*x+4*x^2*exp(-4)-13*x*exp(-4)+(4*x*exp(4)-12*exp(4)-x+3)*exp(-4+2*exp(x))+(8*x^2*exp(4)-40*x*exp(4)-2*x^2+48*exp(4)+10*x-12)*exp(exp(x)-4)","B"
9538,1,52,27,0.057000," ","int(((-64*x^6-1120*x^5-7840*x^4-27440*x^3-48020*x^2-33614*x)*ln(x)^2+(-64*x^6-1120*x^5-7840*x^4-27440*x^3-48020*x^2-33614*x)*ln(x)+1600*x^6+28000*x^5+196000*x^4+694960*x^3+1262196*x^2+953694*x)/(32*x^5+560*x^4+3920*x^3+13720*x^2+24010*x+16807),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2} \ln \left(x \right)^{2}+25 x^{2}-\frac{896}{\left(7+2 x \right)^{3}}-\frac{560}{7+2 x}+\frac{3136}{\left(7+2 x \right)^{4}}+\frac{2024}{\left(7+2 x \right)^{2}}$&$52$\\ risch&$-x^{2} \ln \left(x \right)^{2}+\frac{400 x^{6}+5600 x^{5}+29400 x^{4}+64120 x^{3}+21081 x^{2}-109760 x -96040}{16 x^{4}+224 x^{3}+1176 x^{2}+2744 x +2401}$&$64$\\ norman&$\frac{-895230 x -315549 x^{2}+24820 x^{4}+5600 x^{5}+400 x^{6}-2401 x^{2} \ln \left(x \right)^{2}-2744 x^{3} \ln \left(x \right)^{2}-1176 x^{4} \ln \left(x \right)^{2}-224 x^{5} \ln \left(x \right)^{2}-16 x^{6} \ln \left(x \right)^{2}-\frac{3133305}{4}}{\left(7+2 x \right)^{4}}$&$79$\\ \hline \end{longtable}"," ",0,"-x^2*ln(x)^2+25*x^2-896/(7+2*x)^3-560/(7+2*x)+3136/(7+2*x)^4+2024/(7+2*x)^2","A"
9539,1,25,28,0.053000," ","int((-20*x^2*ln(x)^2*exp(ln(3*x)+11/10*x)^2+((33*x^2+123*x+60)*ln(x)+30*x+30)*exp(ln(3*x)+11/10*x))/(40*x^2*ln(x)^2*exp(ln(3*x)+11/10*x)^2-120*x*ln(x)*exp(ln(3*x)+11/10*x)+90),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{2}-\frac{3 \left(x +1\right)}{2 \left(6 x^{2} \ln \left(x \right) {\mathrm e}^{\frac{11 x}{10}}-3\right)}$&$25$\\ \hline \end{longtable}"," ",0,"-1/2*x-3/2*(x+1)/(6*x^2*ln(x)*exp(11/10*x)-3)","A"
9540,1,22,23,0.065000," ","int((exp(-x^2+2*x)^2+((2*x-2)*ln(5)-8*x)*exp(-x^2+2*x)+4*ln(5)+16*x^2)/(exp(-x^2+2*x)^2-8*x*exp(-x^2+2*x)+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{\ln \left(5\right)}{4 x -{\mathrm e}^{-\left(x -2\right) x}}$&$22$\\ norman&$\frac{4 x^{2}-x \,{\mathrm e}^{-x^{2}+2 x}-\ln \left(5\right)}{4 x -{\mathrm e}^{-x^{2}+2 x}}$&$43$\\ \hline \end{longtable}"," ",0,"x-ln(5)/(4*x-exp(-(x-2)*x))","A"
9541,1,28,24,0.061000," ","int(((10*x^2+20)*ln((x^2+2)/x)^2+(60*x^4+123*x^3+120*x^2+246*x)*ln((x^2+2)/x)-30*x^4-123*x^3+51*x^2+246*x+18)*exp(1/10*(30*x^2+123*x+9)/ln((x^2+2)/x))/(10*x^2+20)/ln((x^2+2)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{\frac{3 x^{2}+\frac{123}{10} x +\frac{9}{10}}{\ln \left(\frac{x^{2}+2}{x}\right)}}$&$28$\\ \hline \end{longtable}"," ",0,"x*exp(3/10*(10*x^2+41*x+3)/ln((x^2+2)/x))","A"
9542,1,34,21,0.184000," ","int((x^3*exp(5)^2*exp(x)-3*x^3*exp(5)^2-8)/(x^3*exp(5)^2*exp(x)-x^3*exp(5)^3+(-3*x^4+4*x^3)*exp(5)^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left({\mathrm e}^{x}-\frac{\left(x^{2} {\mathrm e}^{15}+3 x^{3} {\mathrm e}^{10}-4 x^{2} {\mathrm e}^{10}-4\right) {\mathrm e}^{-10}}{x^{2}}\right)$&$34$\\ norman&$-2 \ln \left(x \right)+\ln \left(x^{2} {\mathrm e}^{15}-x^{2} {\mathrm e}^{10} {\mathrm e}^{x}+3 x^{3} {\mathrm e}^{10}-4 x^{2} {\mathrm e}^{10}-4\right)$&$46$\\ \hline \end{longtable}"," ",0,"ln(exp(x)-(x^2*exp(15)+3*x^3*exp(10)-4*x^2*exp(10)-4)/x^2*exp(-10))","A"
9543,1,27,24,0.099000," ","int(1/10*(20*x*exp(exp(x)-1)^2+(2*exp(x)*x-1)*ln(6*x)^2-2*ln(6*x)-8*exp(x)*x+4)/exp(exp(x)-1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{\left(-x \ln \left(6 x \right)^{2}+4 x \right) {\mathrm e}^{-2 \,{\mathrm e}^{x}+2}}{10}$&$27$\\ \hline \end{longtable}"," ",0,"x^2+1/10*(-x*ln(6*x)^2+4*x)*exp(-2*exp(x)+2)","A"
9544,1,28,23,0.034000," ","int((-2*x*ln(2*x)+(-10*exp(5)-2*x)*exp(5*exp(5)/x)-x^3+2*x)*exp((2*ln(2*x)+2*exp(5*exp(5)/x)-x^2)/x)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 \ln \left(2 x \right)+2 \,{\mathrm e}^{\frac{5 \,{\mathrm e}^{5}}{x}}-x^{2}}{x}}$&$28$\\ \hline \end{longtable}"," ",0,"exp((2*ln(2*x)+2*exp(5*exp(5)/x)-x^2)/x)","A"
9545,1,17,25,0.061000," ","int((256*x^3-255*x^2+256*x-256)*exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(256 x^{2}-511 x +256\right) {\mathrm e}^{x}}{x}$&$17$\\ risch&$\frac{\left(256 x^{2}-511 x +256\right) {\mathrm e}^{x}}{x}$&$17$\\ default&$\frac{256 \,{\mathrm e}^{x}}{x}+256 \,{\mathrm e}^{x} x -511 \,{\mathrm e}^{x}$&$18$\\ norman&$\frac{-511 \,{\mathrm e}^{x} x +256 \,{\mathrm e}^{x} x^{2}+256 \,{\mathrm e}^{x}}{x}$&$22$\\ meijerg&$767-128 \left(-2 x +2\right) {\mathrm e}^{x}-255 \,{\mathrm e}^{x}+\frac{256}{x}-\frac{128 \left(2 x +2\right)}{x}+\frac{256 \,{\mathrm e}^{x}}{x}$&$38$\\ \hline \end{longtable}"," ",0,"1/x*(256*x^2-511*x+256)*exp(x)","A"
9546,1,29,20,0.569000," ","int(((18*x^3*exp(3+ln(x))+144*x^3)*exp(x^4/(exp(3+ln(x))^2+8*exp(3+ln(x))+16))+exp(3+ln(x))^3+12*exp(3+ln(x))^2+48*exp(3+ln(x))+64)/((9*exp(3+ln(x))^3+108*exp(3+ln(x))^2+432*exp(3+ln(x))+576)*exp(x^4/(exp(3+ln(x))^2+8*exp(3+ln(x))+16))+(x-5)*exp(3+ln(x))^3+(12*x-60)*exp(3+ln(x))^2+(48*x-240)*exp(3+ln(x))+64*x-320),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x +9 \,{\mathrm e}^{\frac{x^{4}}{x^{2} {\mathrm e}^{6}+8 x \,{\mathrm e}^{3}+16}}-5\right)$&$29$\\ risch&${\mathrm e}^{3} {\mathrm e}^{-9} x^{2}-8 x \,{\mathrm e}^{-9}+\frac{\left(-256 x -768 \,{\mathrm e}^{-3}\right) {\mathrm e}^{-9}}{x^{2} {\mathrm e}^{6}+8 x \,{\mathrm e}^{3}+16}-\frac{x^{4}}{x^{2} {\mathrm e}^{6}+8 x \,{\mathrm e}^{3}+16}+\ln \left({\mathrm e}^{\frac{x^{4}}{x^{2} {\mathrm e}^{6}+8 x \,{\mathrm e}^{3}+16}}+\frac{x}{9}-\frac{5}{9}\right)$&$87$\\ \hline \end{longtable}"," ",0,"ln(x+9*exp(x^4/(x^2*exp(3)^2+8*x*exp(3)+16))-5)","A"
9547,1,22,26,0.058000," ","int(((-8*x^2-21*x)*exp(ln(4*x^2+x)+3)+(20*x+5)*ln(5)+4*x^3+x^2)/(4*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x^{2} {\mathrm e}^{3}-21 x \,{\mathrm e}^{3}+x -\frac{5 \ln \left(5\right)}{x}$&$22$\\ default&$x -\frac{5 \ln \left(5\right)}{x}-{\mathrm e}^{3} \left(4 x^{2}+21 x \right)$&$23$\\ norman&$\frac{\left(-21 \,{\mathrm e}^{3}+1\right) x^{2}-4 x^{3} {\mathrm e}^{3}-5 \ln \left(5\right)}{x}$&$27$\\ \hline \end{longtable}"," ",0,"-4*x^2*exp(3)-21*x*exp(3)+x-5*ln(5)/x","A"
9548,1,16,23,0.036000," ","int(((-x*exp(25)^2-2*exp(2))*ln(x)-exp(2))/x/exp(2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{48} x -2 \ln \left(x \right)-\ln \left(\ln \left(x \right)\right)$&$16$\\ norman&$-2 \ln \left(x \right)-{\mathrm e}^{50} x \,{\mathrm e}^{-2}-\ln \left(\ln \left(x \right)\right)$&$22$\\ default&${\mathrm e}^{-2} \left(-x \,{\mathrm e}^{50}-2 \,{\mathrm e}^{2} \ln \left(x \right)-{\mathrm e}^{2} \ln \left(\ln \left(x \right)\right)\right)$&$27$\\ \hline \end{longtable}"," ",0,"-exp(48)*x-2*ln(x)-ln(ln(x))","A"
9549,1,13,12,0.029000," ","int((-50*exp(x)-25*x-25)/((exp(x)+x)*ln(exp(x)+x)^2+((2*x-8)*exp(x)+2*x^2-8*x)*ln(exp(x)+x)+(x^2-8*x+16)*exp(x)+x^3-8*x^2+16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25}{\ln \left({\mathrm e}^{x}+x \right)-4+x}$&$13$\\ \hline \end{longtable}"," ",0,"25/(ln(exp(x)+x)-4+x)","A"
9550,1,31,26,0.179000," ","int(((-x^2+8*x-16)*exp(exp(x)-5-x)^2+((2*x-8)*exp(x)+2)*exp(exp(x)-5-x)-1)/((x^2-8*x+16)*exp(exp(x)-5-x)^2+(-2*x+8)*exp(exp(x)-5-x)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{2}{{\mathrm e}^{{\mathrm e}^{x}-5-x} x -4 \,{\mathrm e}^{{\mathrm e}^{x}-5-x}-1}$&$31$\\ norman&$\frac{x +8 \,{\mathrm e}^{{\mathrm e}^{x}-5-x}+2 \,{\mathrm e}^{{\mathrm e}^{x}-5-x} x -x^{2} {\mathrm e}^{{\mathrm e}^{x}-5-x}}{{\mathrm e}^{{\mathrm e}^{x}-5-x} x -4 \,{\mathrm e}^{{\mathrm e}^{x}-5-x}-1}$&$62$\\ \hline \end{longtable}"," ",0,"-x-2/(exp(exp(x)-5-x)*x-4*exp(exp(x)-5-x)-1)","A"
9551,1,31,31,0.189000," ","int((((x^3-2*x^2)*ln(x)^4+((-4*x^2+8*x)*exp(4)+4*x^3-8*x^2)*ln(x)^3-2*x^3+3*x^2)*exp((x-exp(4))*ln(x)^4+2*exp(4)-2*x)+(-5*x^2+20*x-20)*exp(1)+5*x^4-20*x^3+20*x^2)/(5*x^4-20*x^3+20*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{{\mathrm e}}{x}+\frac{{\mathrm e}^{-\left(\ln \left(x \right)^{4}-2\right) \left({\mathrm e}^{4}-x \right)}}{5 x -10}$&$31$\\ \hline \end{longtable}"," ",0,"x+exp(1)/x+1/5/(x-2)*exp(-(ln(x)^4-2)*(exp(4)-x))","A"
9552,1,71,23,0.047000," ","int((3*x^2+2*x)*exp(exp(20)^2+5)^2+(10*x^4-56*x^3+48*x^2+64*x)*exp(exp(20)^2+5)+7*x^6-90*x^5+400*x^4-640*x^3+512*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{2 \,{\mathrm e}^{40}+10} \left(x^{3}+x^{2}\right)+{\mathrm e}^{{\mathrm e}^{40}+5} \left(2 x^{5}-14 x^{4}+16 x^{3}+32 x^{2}\right)+x^{7}-15 x^{6}+80 x^{5}-160 x^{4}+256 x^{2}$&$71$\\ risch&$x^{3} {\mathrm e}^{2 \,{\mathrm e}^{40}+10}+x^{2} {\mathrm e}^{2 \,{\mathrm e}^{40}+10}+2 x^{5} {\mathrm e}^{{\mathrm e}^{40}+5}-14 x^{4} {\mathrm e}^{{\mathrm e}^{40}+5}+16 x^{3} {\mathrm e}^{{\mathrm e}^{40}+5}+32 x^{2} {\mathrm e}^{{\mathrm e}^{40}+5}+x^{7}-15 x^{6}+80 x^{5}-160 x^{4}+256 x^{2}$&$87$\\ gosper&$x^{2} \left(x^{5}+2 x^{3} {\mathrm e}^{{\mathrm e}^{40}+5}-15 x^{4}+{\mathrm e}^{2 \,{\mathrm e}^{40}+10} x -14 x^{2} {\mathrm e}^{{\mathrm e}^{40}+5}+80 x^{3}+{\mathrm e}^{2 \,{\mathrm e}^{40}+10}+16 \,{\mathrm e}^{{\mathrm e}^{40}+5} x -160 x^{2}+32 \,{\mathrm e}^{{\mathrm e}^{40}+5}+256\right)$&$88$\\ norman&$x^{7}+\left(-14 \,{\mathrm e}^{{\mathrm e}^{40}} {\mathrm e}^{5}-160\right) x^{4}+\left(2 \,{\mathrm e}^{{\mathrm e}^{40}} {\mathrm e}^{5}+80\right) x^{5}+\left({\mathrm e}^{2 \,{\mathrm e}^{40}} {\mathrm e}^{10}+16 \,{\mathrm e}^{{\mathrm e}^{40}} {\mathrm e}^{5}\right) x^{3}+\left({\mathrm e}^{2 \,{\mathrm e}^{40}} {\mathrm e}^{10}+32 \,{\mathrm e}^{{\mathrm e}^{40}} {\mathrm e}^{5}+256\right) x^{2}-15 x^{6}$&$93$\\ \hline \end{longtable}"," ",0,"exp(exp(20)^2+5)^2*(x^3+x^2)+exp(exp(20)^2+5)*(2*x^5-14*x^4+16*x^3+32*x^2)+x^7-15*x^6+80*x^5-160*x^4+256*x^2","B"
9553,1,10,10,0.019000," ","int(exp(1)+1/2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(x +4 \,{\mathrm e}\right)}{4}$&$10$\\ default&$x \,{\mathrm e}+\frac{x^{2}}{4}$&$11$\\ norman&$x \,{\mathrm e}+\frac{x^{2}}{4}$&$11$\\ risch&$x \,{\mathrm e}+\frac{x^{2}}{4}$&$11$\\ \hline \end{longtable}"," ",0,"1/4*x*(x+4*exp(1))","A"
9554,1,342,28,0.755000," ","int(((2*x*ln(x)+2*x^3-2*x^2-1)*ln(8*x/exp(1/4*x))^2+8*x*ln(8*x/exp(1/4*x))-x+4)/((x*ln(x)+x^3)*ln(8*x/exp(1/4*x))^2+4*x*ln(8*x/exp(1/4*x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\ln \left(\ln \left(x \right)+x^{2}\right)+\ln \left(\ln \left({\mathrm e}^{\frac{x}{4}}\right)+\frac{i \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{x}{4}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\frac{x}{4}}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\frac{x}{4}}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-\frac{x}{4}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\frac{x}{4}}\right)^{2}+\pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-\frac{x}{4}}\right)^{3}+6 i \ln \left(2\right)+2 i \ln \left(x \right)\right)}{2}\right)-\ln \left(\ln \left({\mathrm e}^{\frac{x}{4}}\right)+\frac{i \left(\pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{x}{4}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\frac{x}{4}}\right)-\pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\frac{x}{4}}\right)^{2}-\pi  \,x^{2} \mathrm{csgn}\left(i {\mathrm e}^{-\frac{x}{4}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\frac{x}{4}}\right)^{2}+\pi  \,x^{2} \mathrm{csgn}\left(i x \,{\mathrm e}^{-\frac{x}{4}}\right)^{3}+\ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-\frac{x}{4}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\frac{x}{4}}\right)-\ln \left(x \right) \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\frac{x}{4}}\right)^{2}-\ln \left(x \right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-\frac{x}{4}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{-\frac{x}{4}}\right)^{2}+\ln \left(x \right) \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{-\frac{x}{4}}\right)^{3}+6 i \ln \left(2\right) \ln \left(x \right)+6 i \ln \left(2\right) x^{2}+2 i \ln \left(x \right)^{2}+2 i x^{2} \ln \left(x \right)+8 i\right)}{2 \ln \left(x \right)+2 x^{2}}\right)$&$342$\\ \hline \end{longtable}"," ",0,"2*x-ln(ln(x)+x^2)+ln(ln(exp(1/4*x))+1/2*I*(Pi*csgn(I*x)*csgn(I*exp(-1/4*x))*csgn(I*x*exp(-1/4*x))-Pi*csgn(I*x)*csgn(I*x*exp(-1/4*x))^2-Pi*csgn(I*exp(-1/4*x))*csgn(I*x*exp(-1/4*x))^2+Pi*csgn(I*x*exp(-1/4*x))^3+6*I*ln(2)+2*I*ln(x)))-ln(ln(exp(1/4*x))+1/2*I*(Pi*x^2*csgn(I*x)*csgn(I*exp(-1/4*x))*csgn(I*x*exp(-1/4*x))-Pi*x^2*csgn(I*x)*csgn(I*x*exp(-1/4*x))^2-Pi*x^2*csgn(I*exp(-1/4*x))*csgn(I*x*exp(-1/4*x))^2+Pi*x^2*csgn(I*x*exp(-1/4*x))^3+ln(x)*Pi*csgn(I*x)*csgn(I*exp(-1/4*x))*csgn(I*x*exp(-1/4*x))-ln(x)*Pi*csgn(I*x)*csgn(I*x*exp(-1/4*x))^2-ln(x)*Pi*csgn(I*exp(-1/4*x))*csgn(I*x*exp(-1/4*x))^2+ln(x)*Pi*csgn(I*x*exp(-1/4*x))^3+6*I*ln(2)*ln(x)+6*I*ln(2)*x^2+2*I*ln(x)^2+2*I*x^2*ln(x)+8*I)/(ln(x)+x^2))","C"
9555,1,33,27,0.141000," ","int((2*(10*x+25)*ln(2)-5*x^4-50*x^3-129*x^2-40*x-100)*exp((-10*ln(2)-5*x^3-20*x^2+29*x+20)/(45*x^2+225*x))/(135*x^4+1350*x^3+3375*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{-\frac{5 x^{3}+20 x^{2}+10 \ln \left(2\right)-29 x -20}{45 \left(5+x \right) x}}}{3}$&$33$\\ risch&$\frac{{\mathrm e}^{-\frac{5 x^{3}+20 x^{2}+10 \ln \left(2\right)-29 x -20}{45 \left(5+x \right) x}}}{3}$&$33$\\ norman&$\frac{\frac{5 x \,{\mathrm e}^{\frac{-10 \ln \left(2\right)-5 x^{3}-20 x^{2}+29 x +20}{45 x^{2}+225 x}}}{3}+\frac{x^{2} {\mathrm e}^{\frac{-10 \ln \left(2\right)-5 x^{3}-20 x^{2}+29 x +20}{45 x^{2}+225 x}}}{3}}{\left(5+x \right) x}$&$83$\\ \hline \end{longtable}"," ",0,"1/3*exp(-1/45*(5*x^3+20*x^2+10*ln(2)-29*x-20)/(5+x)/x)","A"
9556,1,24,15,0.051000," ","int((-18*x^2-153*x+126)/(2*x^5+20*x^4+80*x^3+160*x^2+160*x+64)/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{9 x^{2} {\mathrm e}^{-1}}{2}+\frac{63 \,{\mathrm e}^{-1} x}{2}}{\left(2+x \right)^{4}}$&$24$\\ default&$\frac{9 \,{\mathrm e}^{-1} \left(-\frac{10}{\left(2+x \right)^{4}}+\frac{3}{\left(2+x \right)^{3}}+\frac{1}{\left(2+x \right)^{2}}\right)}{2}$&$27$\\ gosper&$\frac{9 \left(x +7\right) x \,{\mathrm e}^{-1}}{2 \left(x^{4}+8 x^{3}+24 x^{2}+32 x +16\right)}$&$31$\\ risch&$\frac{{\mathrm e}^{-1} \left(\frac{9}{2} x^{2}+\frac{63}{2} x \right)}{x^{4}+8 x^{3}+24 x^{2}+32 x +16}$&$33$\\ \hline \end{longtable}"," ",0,"(9/2*x^2/exp(1)+63/2*x/exp(1))/(2+x)^4","A"
9557,1,17,23,0.085000," ","int((-6*x^2*exp(exp(4))-6*x-3)*exp(x^2*exp(exp(4))+2*x)/x/exp(3-ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 x \,{\mathrm e}^{x^{2} {\mathrm e}^{{\mathrm e}^{4}}+2 x -3}$&$17$\\ norman&$-3 x \,{\mathrm e}^{-3} {\mathrm e}^{x^{2} {\mathrm e}^{{\mathrm e}^{4}}+2 x}$&$20$\\ gosper&$-3 x \,{\mathrm e}^{-3} {\mathrm e}^{x^{2} {\mathrm e}^{{\mathrm e}^{4}}+2 x}$&$24$\\ default&$\frac{3 i \sqrt{\pi}\, {\mathrm e}^{-3-{\mathrm e}^{-{\mathrm e}^{4}}} {\mathrm e}^{-\frac{{\mathrm e}^{4}}{2}} \erf \left(i {\mathrm e}^{\frac{{\mathrm e}^{4}}{2}} x +i {\mathrm e}^{-\frac{{\mathrm e}^{4}}{2}}\right)}{2}-3 \,{\mathrm e}^{-{\mathrm e}^{4}} {\mathrm e}^{x^{2} {\mathrm e}^{{\mathrm e}^{4}}+2 x -3}-3 i {\mathrm e}^{-\frac{3 \,{\mathrm e}^{4}}{2}} \sqrt{\pi}\, {\mathrm e}^{-3-{\mathrm e}^{-{\mathrm e}^{4}}} \erf \left(i {\mathrm e}^{\frac{{\mathrm e}^{4}}{2}} x +i {\mathrm e}^{-\frac{{\mathrm e}^{4}}{2}}\right)-3 \,{\mathrm e}^{-{\mathrm e}^{4}} x \,{\mathrm e}^{x^{2} {\mathrm e}^{{\mathrm e}^{4}}+2 x -3+{\mathrm e}^{4}}+6 \,{\mathrm e}^{-{\mathrm e}^{4}} \left(\frac{{\mathrm e}^{-{\mathrm e}^{4}} {\mathrm e}^{x^{2} {\mathrm e}^{{\mathrm e}^{4}}+2 x -3+{\mathrm e}^{4}}}{2}+\frac{i {\mathrm e}^{-\frac{3 \,{\mathrm e}^{4}}{2}} \sqrt{\pi}\, {\mathrm e}^{{\mathrm e}^{4}-3-{\mathrm e}^{-{\mathrm e}^{4}}} \erf \left(i {\mathrm e}^{\frac{{\mathrm e}^{4}}{2}} x +i {\mathrm e}^{-\frac{{\mathrm e}^{4}}{2}}\right)}{2}\right)-\frac{3 i {\mathrm e}^{-\frac{3 \,{\mathrm e}^{4}}{2}} \sqrt{\pi}\, {\mathrm e}^{{\mathrm e}^{4}-3-{\mathrm e}^{-{\mathrm e}^{4}}} \erf \left(i {\mathrm e}^{\frac{{\mathrm e}^{4}}{2}} x +i {\mathrm e}^{-\frac{{\mathrm e}^{4}}{2}}\right)}{2}$&$239$\\ \hline \end{longtable}"," ",0,"-3*x*exp(x^2*exp(exp(4))+2*x-3)","A"
9558,1,46,22,0.153000," ","int((-400*x*ln(2)^4*ln(x^2)^2+(1600*x*ln(2)^4+4*(-80*x-160)*ln(2)^2)*ln(x^2)+16*(25*x^3+100*x^2)*ln(2)^4+4*(-80*x^2-160*x)*ln(2)^2)/(800*x^3*ln(2)^4-640*x^2*ln(2)^2+128*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 \ln \left(2\right)^{2} \ln \left(x^{2}\right) x +\frac{5 x^{2} \ln \left(2\right)^{2}}{2}+\frac{5 \ln \left(2\right)^{2} \ln \left(x^{2}\right)^{2}}{2}}{5 x \ln \left(2\right)^{2}-2}$&$46$\\ risch&$\frac{5 \ln \left(2\right)^{2} \ln \left(x^{2}\right)^{2}}{2 \left(5 x \ln \left(2\right)^{2}-2\right)}+\frac{2 \ln \left(x^{2}\right)}{5 x \ln \left(2\right)^{2}-2}+\frac{100 \ln \left(2\right)^{4} \ln \left(-x \right) x +25 x^{2} \ln \left(2\right)^{4}-40 \ln \left(-x \right) \ln \left(2\right)^{2}-10 x \ln \left(2\right)^{2}+4}{10 \ln \left(2\right)^{2} \left(5 x \ln \left(2\right)^{2}-2\right)}$&$98$\\ \hline \end{longtable}"," ",0,"(5*ln(2)^2*ln(x^2)*x+5/2*x^2*ln(2)^2+5/2*ln(2)^2*ln(x^2)^2)/(5*x*ln(2)^2-2)","B"
9559,1,15,16,0.056000," ","int((-2*ln(5)-2*x^2+50)/(ln(5)^2+(-2*x^2-50)*ln(5)+x^4+50*x^2+625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{2 x}{-x^{2}+\ln \left(5\right)-25}$&$15$\\ default&$-\frac{2 x}{-x^{2}+\ln \left(5\right)-25}$&$15$\\ norman&$-\frac{2 x}{-x^{2}+\ln \left(5\right)-25}$&$15$\\ risch&$-\frac{2 x}{-x^{2}+\ln \left(5\right)-25}$&$15$\\ \hline \end{longtable}"," ",0,"-2*x/(-x^2+ln(5)-25)","A"
9560,1,15,14,0.098000," ","int((5*exp(2+1/4*x)+64*x+64)/(4*exp(2+1/4*x)+64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -2+\ln \left({\mathrm e}^{2+\frac{x}{4}}+16 x \right)$&$15$\\ norman&$x +\ln \left(4 \,{\mathrm e}^{2+\frac{x}{4}}+64 x \right)$&$16$\\ \hline \end{longtable}"," ",0,"x-2+ln(exp(2+1/4*x)+16*x)","A"
9561,1,22,23,0.129000," ","int(((-3380*x^2-1690*x)*exp(1)+16120*x^4)*exp(4*x)/(169*exp(1)^2-1612*x^2*exp(1)+3844*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{65 \,{\mathrm e}^{4 x} x^{2}}{-62 x^{2}+13 \,{\mathrm e}}$&$22$\\ norman&$-\frac{65 \,{\mathrm e}^{4 x} x^{2}}{-62 x^{2}+13 \,{\mathrm e}}$&$22$\\ derivativedivides&$\frac{65 \,{\mathrm e}^{4 x}}{62}+\frac{6760 \,{\mathrm e}^{4 x} {\mathrm e} x}{31 \left(-496 x^{2}+104 \,{\mathrm e}\right)}-\frac{65 \,{\mathrm e} \sqrt{806}\, \left(2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}} {\mathrm e}^{\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x +\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)+2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}} {\mathrm e}^{-\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x -\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)+93 \,{\mathrm e}^{\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x +\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)-93 \,{\mathrm e}^{-\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x -\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)\right) {\mathrm e}^{-\frac{1}{2}}}{119164}-3380 \,{\mathrm e} \left(\frac{2 \,{\mathrm e}^{4 x} x}{31 \left(-496 x^{2}+104 \,{\mathrm e}\right)}-\frac{\sqrt{806}\, \left(2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}} {\mathrm e}^{\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x +\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)+2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}} {\mathrm e}^{-\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x -\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)+31 \,{\mathrm e}^{\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x +\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)-31 \,{\mathrm e}^{-\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x -\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)\right) {\mathrm e}^{-\frac{1}{2}}}{6196528}\right)-6760 \,{\mathrm e} \left(\frac{{\mathrm e}^{4 x}}{-30752 x^{2}+6448 \,{\mathrm e}}-\frac{\sqrt{806}\, \left({\mathrm e}^{\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x +\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)-{\mathrm e}^{-\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x -\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)\right) {\mathrm e}^{-\frac{1}{2}}}{199888}\right)$&$357$\\ default&$\frac{65 \,{\mathrm e}^{4 x}}{62}+\frac{6760 \,{\mathrm e}^{4 x} {\mathrm e} x}{31 \left(-496 x^{2}+104 \,{\mathrm e}\right)}-\frac{65 \,{\mathrm e} \sqrt{806}\, \left(2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}} {\mathrm e}^{\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x +\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)+2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}} {\mathrm e}^{-\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x -\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)+93 \,{\mathrm e}^{\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x +\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)-93 \,{\mathrm e}^{-\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x -\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)\right) {\mathrm e}^{-\frac{1}{2}}}{119164}-3380 \,{\mathrm e} \left(\frac{2 \,{\mathrm e}^{4 x} x}{31 \left(-496 x^{2}+104 \,{\mathrm e}\right)}-\frac{\sqrt{806}\, \left(2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}} {\mathrm e}^{\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x +\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)+2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}} {\mathrm e}^{-\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x -\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)+31 \,{\mathrm e}^{\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x +\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)-31 \,{\mathrm e}^{-\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x -\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)\right) {\mathrm e}^{-\frac{1}{2}}}{6196528}\right)-6760 \,{\mathrm e} \left(\frac{{\mathrm e}^{4 x}}{-30752 x^{2}+6448 \,{\mathrm e}}-\frac{\sqrt{806}\, \left({\mathrm e}^{\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x +\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)-{\mathrm e}^{-\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}} \expIntegralEi \left(1, -4 x -\frac{2 \sqrt{806}\, {\mathrm e}^{\frac{1}{2}}}{31}\right)\right) {\mathrm e}^{-\frac{1}{2}}}{199888}\right)$&$357$\\ \hline \end{longtable}"," ",0,"-65*exp(4*x)*x^2/(-62*x^2+13*exp(1))","A"
9562,1,313,28,0.532000," ","int((((-ln(3)-1)*exp(x)*exp(2+x)^2+(-4*ln(3)+x-4)*exp(x)*exp(2+x)+(-4*ln(3)+2*x-4)*exp(x))*exp(exp(x))*ln(((ln(3)+1)*exp(2+x)+2*ln(3)+2-x)/(exp(2+x)+2))+((25*ln(3)+25)*exp(x)*exp(2+x)^2+((100*ln(3)-25*x+100)*exp(x)-x+1)*exp(2+x)+(100*ln(3)-50*x+100)*exp(x)+2)*exp(exp(x))+(ln(3)+1)*exp(2+x)^2+(4*ln(3)-6*x+9)*exp(2+x)+4*ln(3)-2*x+14)/((ln(3)+1)*exp(2+x)^2+(4*ln(3)-x+4)*exp(2+x)+4*ln(3)+4-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{{\mathrm e}^{x}} \ln \left(\left(\ln \left(3\right) {\mathrm e}^{x}+{\mathrm e}^{x}\right) {\mathrm e}^{2}+2 \ln \left(3\right)-x +2\right)+{\mathrm e}^{{\mathrm e}^{x}} \ln \left({\mathrm e}^{2+x}+2\right)+x +5 \ln \left({\mathrm e}^{x}+2 \,{\mathrm e}^{-2}\right)-5 \ln \left({\mathrm e}^{x}+\frac{\left(2 \ln \left(3\right)-x +2\right) {\mathrm e}^{-2}}{\ln \left(3\right)+1}\right)+\frac{i {\mathrm e}^{{\mathrm e}^{x}} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2+x}+2}\right) \mathrm{csgn}\left(i \left(\left(\ln \left(3\right) {\mathrm e}^{x}+{\mathrm e}^{x}\right) {\mathrm e}^{2}+2 \ln \left(3\right)-x +2\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(3\right) {\mathrm e}^{x}+{\mathrm e}^{x}\right) {\mathrm e}^{2}+2 \ln \left(3\right)-x +2\right)}{{\mathrm e}^{2+x}+2}\right)}{2}-\frac{i {\mathrm e}^{{\mathrm e}^{x}} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2+x}+2}\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(3\right) {\mathrm e}^{x}+{\mathrm e}^{x}\right) {\mathrm e}^{2}+2 \ln \left(3\right)-x +2\right)}{{\mathrm e}^{2+x}+2}\right)^{2}}{2}-\frac{i {\mathrm e}^{{\mathrm e}^{x}} \pi  \,\mathrm{csgn}\left(i \left(\left(\ln \left(3\right) {\mathrm e}^{x}+{\mathrm e}^{x}\right) {\mathrm e}^{2}+2 \ln \left(3\right)-x +2\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(3\right) {\mathrm e}^{x}+{\mathrm e}^{x}\right) {\mathrm e}^{2}+2 \ln \left(3\right)-x +2\right)}{{\mathrm e}^{2+x}+2}\right)^{2}}{2}+\frac{i {\mathrm e}^{{\mathrm e}^{x}} \pi  \mathrm{csgn}\left(\frac{i \left(\left(\ln \left(3\right) {\mathrm e}^{x}+{\mathrm e}^{x}\right) {\mathrm e}^{2}+2 \ln \left(3\right)-x +2\right)}{{\mathrm e}^{2+x}+2}\right)^{3}}{2}+25 \,{\mathrm e}^{{\mathrm e}^{x}}$&$313$\\ \hline \end{longtable}"," ",0,"-exp(exp(x))*ln((ln(3)*exp(x)+exp(x))*exp(2)+2*ln(3)-x+2)+exp(exp(x))*ln(exp(2+x)+2)+x+5*ln(exp(x)+2*exp(-2))-5*ln(exp(x)+(2*ln(3)-x+2)*exp(-2)/(ln(3)+1))+1/2*I*exp(exp(x))*Pi*csgn(I/(exp(2+x)+2))*csgn(I*((ln(3)*exp(x)+exp(x))*exp(2)+2*ln(3)-x+2))*csgn(I/(exp(2+x)+2)*((ln(3)*exp(x)+exp(x))*exp(2)+2*ln(3)-x+2))-1/2*I*exp(exp(x))*Pi*csgn(I/(exp(2+x)+2))*csgn(I/(exp(2+x)+2)*((ln(3)*exp(x)+exp(x))*exp(2)+2*ln(3)-x+2))^2-1/2*I*exp(exp(x))*Pi*csgn(I*((ln(3)*exp(x)+exp(x))*exp(2)+2*ln(3)-x+2))*csgn(I/(exp(2+x)+2)*((ln(3)*exp(x)+exp(x))*exp(2)+2*ln(3)-x+2))^2+1/2*I*exp(exp(x))*Pi*csgn(I/(exp(2+x)+2)*((ln(3)*exp(x)+exp(x))*exp(2)+2*ln(3)-x+2))^3+25*exp(exp(x))","C"
9563,1,37,36,0.115000," ","int(((-384*x*ln(3)^2+16*x^4*ln(3))*ln(5)+(288*x-144)*ln(3)^2+(48*x^4-264*x^3+120*x^2)*ln(3)+2*x^7-21*x^6+60*x^5-25*x^4)/(144*ln(3)^2+(24*x^3-120*x^2)*ln(3)+x^6-10*x^5+25*x^4)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}-x -\frac{4 \ln \left(3\right) \ln \left(5\right) x^{2}}{3 \left(\frac{x^{3}}{12}-\frac{5 x^{2}}{12}+\ln \left(3\right)\right)}}{\ln \left(5\right)}$&$37$\\ risch&$\frac{x^{2}}{\ln \left(5\right)}-\frac{x}{\ln \left(5\right)}-\frac{4 \ln \left(3\right) x^{2}}{3 \left(\frac{x^{3}}{12}-\frac{5 x^{2}}{12}+\ln \left(3\right)\right)}$&$39$\\ gosper&$-\frac{-x^{5}+16 x^{2} \ln \left(3\right) \ln \left(5\right)+6 x^{4}-12 x^{2} \ln \left(3\right)+12 x \ln \left(3\right)-25 x^{2}+60 \ln \left(3\right)}{\ln \left(5\right) \left(x^{3}-5 x^{2}+12 \ln \left(3\right)\right)}$&$63$\\ norman&$\frac{-\frac{\left(16 \ln \left(3\right) \ln \left(5\right)-12 \ln \left(3\right)-25\right) x^{2}}{\ln \left(5\right)}+\frac{x^{5}}{\ln \left(5\right)}-\frac{6 x^{4}}{\ln \left(5\right)}-\frac{12 \ln \left(3\right) x}{\ln \left(5\right)}-\frac{60 \ln \left(3\right)}{\ln \left(5\right)}}{x^{3}-5 x^{2}+12 \ln \left(3\right)}$&$73$\\ \hline \end{longtable}"," ",0,"1/ln(5)*(x^2-x-4/3*ln(3)*ln(5)*x^2/(1/12*x^3-5/12*x^2+ln(3)))","A"
9564,1,29,26,0.060000," ","int((((-2*exp(3)+3*x+10)*ln(x)+10*exp(3)-15*x-50)*ln(5-ln(x))+((2*x-2)*exp(3)-2*x^2-7*x+10)*exp(x)*ln(x)+((-10*x+10)*exp(3)+10*x^2+35*x-50)*exp(x)+2*exp(3)-2*x-10)/(((x*exp(3)-x^2-5*x)*ln(x)-5*x*exp(3)+5*x^2+25*x)*ln(5-ln(x))+(x*exp(3)-x^2-5*x)*exp(x)*ln(x)+(-5*x*exp(3)+5*x^2+25*x)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(x \right)-\ln \left(-{\mathrm e}^{3}+x +5\right)+2 \ln \left({\mathrm e}^{x}+\ln \left(5-\ln \left(x \right)\right)\right)$&$29$\\ \hline \end{longtable}"," ",0,"-2*ln(x)-ln(-exp(3)+x+5)+2*ln(exp(x)+ln(5-ln(x)))","A"
9565,1,5,15,0.014000," ","int(-1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)$&$5$\\ norman&$-\ln \left(x \right)$&$5$\\ risch&$-\ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"-ln(x)","A"
9566,1,58,28,0.298000," ","int(((-x*ln(2)*exp(x)*ln(x)+(x^2-x+1)*ln(2)*exp(x)+(-5*x+5)*ln(2))*ln(25*x^2)*ln(ln(25*x^2))+(-2*exp(x)*ln(2)-10*ln(2))*ln(x)+2*x*ln(2)*exp(x)+10*x*ln(2))*exp((ln(x)-x)/(exp(x)+5)/ln(ln(25*x^2)))/(x*exp(x)^2+10*exp(x)*x+25*x)/ln(25*x^2)/ln(ln(25*x^2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(2\right) {\mathrm e}^{\frac{\ln \left(x \right)-x}{\left({\mathrm e}^{x}+5\right) \ln \left(2 \ln \left(5\right)+2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)}}$&$58$\\ \hline \end{longtable}"," ",0,"ln(2)*exp((ln(x)-x)/(exp(x)+5)/ln(2*ln(5)+2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2))","C"
9567,1,29,21,0.082000," ","int(((-8*x^2+16*x-160)*exp(2)-6*x^2+48*x-96)/(x^5+22*x^4+76*x^3-920*x^2-3200*x+16000)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-2} \left(-12+\left(4 \,{\mathrm e}^{2}+3\right) x \right)}{x^{3}+16 x^{2}+20 x -400}$&$29$\\ gosper&$\frac{\left(4 \,{\mathrm e}^{2} x +3 x -12\right) {\mathrm e}^{-2}}{x^{3}+16 x^{2}+20 x -400}$&$31$\\ norman&$\frac{\left(4 \,{\mathrm e}^{2}+3\right) {\mathrm e}^{-2} x -12 \,{\mathrm e}^{-2}}{\left(x -4\right) \left(x +10\right)^{2}}$&$31$\\ default&${\mathrm e}^{-2} \left(\frac{4 \,{\mathrm e}^{2}}{49 \left(x -4\right)}-\frac{-\frac{20 \,{\mathrm e}^{2}}{7}-3}{\left(x +10\right)^{2}}-\frac{4 \,{\mathrm e}^{2}}{49 \left(x +10\right)}\right)$&$38$\\ \hline \end{longtable}"," ",0,"exp(-2)*(-12+(4*exp(2)+3)*x)/(x^3+16*x^2+20*x-400)","A"
9568,1,22,19,0.117000," ","int((-132*exp(5)+180*x^2+9000*x)/((x^2+6*x+9)*exp(5)^2+(-60*x^3-180*x^2)*exp(5)+900*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{6 x +150}{x \,{\mathrm e}^{5}-30 x^{2}+3 \,{\mathrm e}^{5}}$&$22$\\ norman&$\frac{6 x +150}{x \,{\mathrm e}^{5}-30 x^{2}+3 \,{\mathrm e}^{5}}$&$23$\\ risch&$\frac{6 x +150}{x \,{\mathrm e}^{5}-30 x^{2}+3 \,{\mathrm e}^{5}}$&$23$\\ default&$-6 \left(\munderset{\textit{\_R} =\RootOf \left(900 \textit{\_Z}^{4}-60 \textit{\_Z}^{3} {\mathrm e}^{5}+\left(-180 \,{\mathrm e}^{5}+{\mathrm e}^{10}\right) \textit{\_Z}^{2}+6 \textit{\_Z} \,{\mathrm e}^{10}+9 \,{\mathrm e}^{10}\right)}{\sum}\frac{\left(-11 \,{\mathrm e}^{5}+15 \textit{\_R}^{2}+750 \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{90 \textit{\_R}^{2} {\mathrm e}^{5}-1800 \textit{\_R}^{3}+180 \textit{\_R} \,{\mathrm e}^{5}-\textit{\_R} \,{\mathrm e}^{10}-3 \,{\mathrm e}^{10}}\right)$&$89$\\ \hline \end{longtable}"," ",0,"6*(x+25)/(x*exp(5)-30*x^2+3*exp(5))","A"
9569,1,17,16,0.063000," ","int((18*ln(x^2)-12*x^2-6)*exp((-3*ln(x^2)+3*x^2)/x^6)/x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x^{2}\right)^{-\frac{3}{x^{6}}} {\mathrm e}^{\frac{3}{x^{4}}}$&$17$\\ \hline \end{longtable}"," ",0,"(x^2)^(-3/x^6)*exp(3/x^4)","A"
9570,1,23,24,0.125000," ","int((2*x*ln(4*x*ln(2))*ln(ln(4*x*ln(2)))+(exp(x)*x^2-x^2+2*x)*ln(4*x*ln(2))*exp(-exp(x)+x-3)-x)/(ln(4*x*ln(2))*ln(ln(4*x*ln(2)))^2+2*ln(4*x*ln(2))*exp(-exp(x)+x-3)*ln(ln(4*x*ln(2)))+ln(4*x*ln(2))*exp(-exp(x)+x-3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{{\mathrm e}^{-{\mathrm e}^{x}+x -3}+\ln \left(\ln \left(4 x \ln \left(2\right)\right)\right)}$&$23$\\ \hline \end{longtable}"," ",0,"x^2/(exp(-exp(x)+x-3)+ln(ln(4*x*ln(2))))","A"
9571,1,27,23,0.068000," ","int(((-4*x^2-4)*ln(x^2+1)+15*x^4+6*x^2+192*x-1)/(2*x^2+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{5 x^{3}}{2}-\frac{x}{2}+48 \ln \left(x^{2}+1\right)-2 x \ln \left(x^{2}+1\right)$&$27$\\ norman&$\frac{5 x^{3}}{2}-\frac{x}{2}+48 \ln \left(x^{2}+1\right)-2 x \ln \left(x^{2}+1\right)$&$27$\\ risch&$\frac{5 x^{3}}{2}-\frac{x}{2}+48 \ln \left(x^{2}+1\right)-2 x \ln \left(x^{2}+1\right)$&$27$\\ \hline \end{longtable}"," ",0,"5/2*x^3-1/2*x+48*ln(x^2+1)-2*x*ln(x^2+1)","A"
9572,1,24,18,0.109000," ","int(((8*x^2-72*x+162)*exp(x-4)-9*exp(3)-9*exp(2/3))/(8*x^2-72*x+162),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 \,{\mathrm e}^{3}}{8 \left(x -\frac{9}{2}\right)}+\frac{9 \,{\mathrm e}^{\frac{2}{3}}}{8 \left(x -\frac{9}{2}\right)}+{\mathrm e}^{x -4}$&$24$\\ derivativedivides&$\frac{9 \,{\mathrm e}^{3}}{4 \left(2 x -9\right)}+\frac{9 \,{\mathrm e}^{\frac{2}{3}}}{4 \left(2 x -9\right)}+{\mathrm e}^{x -4}$&$28$\\ default&$\frac{9 \,{\mathrm e}^{3}}{4 \left(2 x -9\right)}+\frac{9 \,{\mathrm e}^{\frac{2}{3}}}{4 \left(2 x -9\right)}+{\mathrm e}^{x -4}$&$28$\\ norman&$\frac{2 x \,{\mathrm e}^{x -4}-9 \,{\mathrm e}^{x -4}+\frac{9 \,{\mathrm e}^{3}}{4}+\frac{9 \,{\mathrm e}^{\frac{2}{3}}}{4}}{2 x -9}$&$31$\\ \hline \end{longtable}"," ",0,"9/8/(x-9/2)*exp(3)+9/8/(x-9/2)*exp(2/3)+exp(x-4)","A"
9573,1,38,26,0.026000," ","int((3*x^2-8*x+4)*ln(2)+(3*x^2-8*x+4)*exp(3/4)+6*x^2-16*x+12,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left({\mathrm e}^{\frac{3}{4}}+\ln \left(2\right)+2\right) x^{3}+\left(-4 \ln \left(2\right)-4 \,{\mathrm e}^{\frac{3}{4}}-8\right) x^{2}+\left(4 \ln \left(2\right)+4 \,{\mathrm e}^{\frac{3}{4}}+12\right) x$&$38$\\ gosper&$x \left(x^{2} \ln \left(2\right)+x^{2} {\mathrm e}^{\frac{3}{4}}-4 x \ln \left(2\right)-4 x \,{\mathrm e}^{\frac{3}{4}}+2 x^{2}+4 \ln \left(2\right)+4 \,{\mathrm e}^{\frac{3}{4}}-8 x +12\right)$&$43$\\ default&$\ln \left(2\right) \left(x^{3}-4 x^{2}+4 x \right)+{\mathrm e}^{\frac{3}{4}} \left(x^{3}-4 x^{2}+4 x \right)+2 x^{3}-8 x^{2}+12 x$&$45$\\ risch&$x^{3} \ln \left(2\right)-4 x^{2} \ln \left(2\right)+4 x \ln \left(2\right)+{\mathrm e}^{\frac{3}{4}} x^{3}-4 x^{2} {\mathrm e}^{\frac{3}{4}}+4 x \,{\mathrm e}^{\frac{3}{4}}+2 x^{3}-8 x^{2}+12 x$&$51$\\ \hline \end{longtable}"," ",0,"(exp(3/4)+ln(2)+2)*x^3+(-4*ln(2)-4*exp(3/4)-8)*x^2+(4*ln(2)+4*exp(3/4)+12)*x","A"
9574,1,34,26,0.064000," ","int(((-2*x^5-4*x^4)*ln(x)+19*x^5+44*x^4+10*x^3-20*x^2-20*x-5)/(5*x^4+15*x^3+15*x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{3}-\frac{x^{2}}{2}+2 x^{4}-\frac{x^{4} \ln \left(x \right)}{5}+\frac{1}{2}}{\left(x +1\right)^{2}}-\ln \left(x \right)$&$34$\\ default&$2 x^{2}-3 x -\ln \left(x \right)+\frac{1}{\left(x +1\right)^{2}}-\frac{4}{x +1}-\frac{x^{2} \ln \left(x \right)}{5}+\frac{2 x \ln \left(x \right)}{5}-\frac{4 \ln \left(x \right) x}{5 \left(x +1\right)}+\frac{\ln \left(x \right) x \left(2+x \right)}{5 \left(x +1\right)^{2}}$&$61$\\ risch&$-\frac{\left(x^{4}-3 x^{2}-6 x -3\right) \ln \left(x \right)}{5 \left(x^{2}+2 x +1\right)}-\frac{-10 x^{4}+8 x^{2} \ln \left(x \right)-5 x^{3}+16 x \ln \left(x \right)+20 x^{2}+8 \ln \left(x \right)+35 x +15}{5 \left(x^{2}+2 x +1\right)}$&$77$\\ \hline \end{longtable}"," ",0,"(x^3-1/2*x^2+2*x^4-1/5*x^4*ln(x)+1/2)/(x+1)^2-ln(x)","A"
9575,1,17,16,0.197000," ","int((-2*ln(5/4)-x^2-2*x)/((x^2*ln(5/4)+x^3)*ln(ln(5/4)+x)^2+((-2*x^2-4*x)*ln(5/4)-2*x^3-4*x^2)*ln(ln(5/4)+x)+(x^2+4*x+4)*ln(5/4)+x^3+4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{\ln \left(\ln \left(\frac{5}{4}\right)+x \right) x -2-x}$&$17$\\ risch&$\frac{x}{x \ln \left(\ln \left(5\right)-2 \ln \left(2\right)+x \right)-x -2}$&$21$\\ \hline \end{longtable}"," ",0,"x/(ln(ln(5/4)+x)*x-2-x)","A"
9576,1,89,19,0.277000," ","int((((3*x-1)*ln(-1/3*x)*exp(-ln(x)+3*x)-1)*exp(exp(-ln(x)+3*x))+4)/x/ln(-1/3*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{8 i}{2 \pi  \mathrm{csgn}\left(i x \right)^{2}-2 \pi  \mathrm{csgn}\left(i x \right)^{3}-2 \pi -2 i \ln \left(3\right)+2 i \ln \left(x \right)}+\frac{2 i {\mathrm e}^{\frac{{\mathrm e}^{3 x}}{x}}}{2 \pi  \mathrm{csgn}\left(i x \right)^{2}-2 \pi  \mathrm{csgn}\left(i x \right)^{3}-2 \pi -2 i \ln \left(3\right)+2 i \ln \left(x \right)}$&$89$\\ \hline \end{longtable}"," ",0,"-8*I/(2*Pi*csgn(I*x)^2-2*Pi*csgn(I*x)^3-2*Pi-2*I*ln(3)+2*I*ln(x))+2*I/(2*Pi*csgn(I*x)^2-2*Pi*csgn(I*x)^3-2*Pi-2*I*ln(3)+2*I*ln(x))*exp(1/x*exp(3*x))","C"
9577,1,16,16,0.027000," ","int(1/2*(exp(x)*x^3-6*exp(25)-3*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{3 x}{2}+\frac{3 \,{\mathrm e}^{25}}{2 x^{2}}+\frac{{\mathrm e}^{x}}{2}$&$16$\\ risch&$-\frac{3 x}{2}+\frac{3 \,{\mathrm e}^{25}}{2 x^{2}}+\frac{{\mathrm e}^{x}}{2}$&$16$\\ norman&$\frac{-\frac{3 x^{3}}{2}+\frac{{\mathrm e}^{x} x^{2}}{2}+\frac{3 \,{\mathrm e}^{25}}{2}}{x^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"-3/2*x+3/2*exp(25)/x^2+1/2*exp(x)","A"
9578,1,14,18,0.014000," ","int(-4*x^3+60*x^2-198*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x^{2} \left(x^{2}-20 x +99\right)$&$14$\\ default&$-x^{4}+20 x^{3}-99 x^{2}$&$17$\\ norman&$-x^{4}+20 x^{3}-99 x^{2}$&$17$\\ risch&$-x^{4}+20 x^{3}-99 x^{2}$&$17$\\ \hline \end{longtable}"," ",0,"-x^2*(x^2-20*x+99)","A"
9579,1,28,20,0.063000," ","int(((64*x^4-8)*exp(4*x^4)^2-64*x^8*exp(4*x^4)+8*x^8)*exp((2*exp(4*x^4)^2-4*x^4*exp(4*x^4)+2*x^8)/x^4)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 \,{\mathrm e}^{8 x^{4}}-4 x^{4} {\mathrm e}^{4 x^{4}}+2 x^{8}}{x^{4}}}$&$28$\\ \hline \end{longtable}"," ",0,"exp(2*(x^8-2*x^4*exp(4*x^4)+exp(8*x^4))/x^4)","A"
9580,1,51,16,0.098000," ","int((exp(2)^3+(-3*x-9)*exp(2)^2+(-5*x^4+3*x^2+18*x+27)*exp(2)+3*x^5+15*x^4-x^3-9*x^2-27*x-27)/(exp(2)^3+(-3*x-9)*exp(2)^2+(3*x^2+18*x+27)*exp(2)-x^3-9*x^2-27*x-27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-x^{5}-54+x^{3}+\left(18 \,{\mathrm e}^{2}-3 \,{\mathrm e}^{4}-27\right) x +2 \,{\mathrm e}^{6}-18 \,{\mathrm e}^{4}+54 \,{\mathrm e}^{2}}{\left({\mathrm e}^{2}-3-x \right)^{2}}$&$51$\\ gosper&$\frac{-x^{5}+2 \,{\mathrm e}^{6}-3 x \,{\mathrm e}^{4}+x^{3}-18 \,{\mathrm e}^{4}+18 \,{\mathrm e}^{2} x +54 \,{\mathrm e}^{2}-27 x -54}{{\mathrm e}^{4}-2 \,{\mathrm e}^{2} x +x^{2}-6 \,{\mathrm e}^{2}+6 x +9}$&$66$\\ risch&$-3 x \,{\mathrm e}^{4}-2 x^{2} {\mathrm e}^{2}-x^{3}+18 \,{\mathrm e}^{2} x +6 x^{2}-26 x +\frac{\left(60 \,{\mathrm e}^{6}-5 \,{\mathrm e}^{8}-270 \,{\mathrm e}^{4}+540 \,{\mathrm e}^{2}-405\right) x +4 \,{\mathrm e}^{10}-60 \,{\mathrm e}^{8}+360 \,{\mathrm e}^{6}-1080 \,{\mathrm e}^{4}+1620 \,{\mathrm e}^{2}-972}{{\mathrm e}^{4}-2 \,{\mathrm e}^{2} x +x^{2}-6 \,{\mathrm e}^{2}+6 x +9}$&$96$\\ default&$-3 x \,{\mathrm e}^{4}-2 x^{2} {\mathrm e}^{2}-x^{3}+18 \,{\mathrm e}^{2} x +6 x^{2}-26 x -\frac{\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+\left(-3 \,{\mathrm e}^{2}+9\right) \textit{\_Z}^{2}+\left(-18 \,{\mathrm e}^{2}+3 \,{\mathrm e}^{4}+27\right) \textit{\_Z} -27 \,{\mathrm e}^{2}+9 \,{\mathrm e}^{4}-{\mathrm e}^{6}+27\right)}{\sum}\frac{\left(540 \,{\mathrm e}^{2} \textit{\_R} -270 \textit{\_R} \,{\mathrm e}^{4}-5 \textit{\_R} \,{\mathrm e}^{8}+60 \textit{\_R} \,{\mathrm e}^{6}+1215 \,{\mathrm e}^{2}-810 \,{\mathrm e}^{4}-45 \,{\mathrm e}^{8}+3 \,{\mathrm e}^{10}+270 \,{\mathrm e}^{6}-405 \textit{\_R} -729\right) \ln \left(x -\textit{\_R} \right)}{9+{\mathrm e}^{4}-2 \,{\mathrm e}^{2} \textit{\_R} +\textit{\_R}^{2}-6 \,{\mathrm e}^{2}+6 \textit{\_R}}\right)}{3}$&$157$\\ \hline \end{longtable}"," ",0,"(-x^5-54+x^3+(-3*exp(2)^2+18*exp(2)-27)*x+2*exp(2)^3-18*exp(2)^2+54*exp(2))/(exp(2)-3-x)^2","B"
9581,1,28,17,0.037000," ","int(((2*exp(x)*ln(ln(x-2)+4)+(x-2)*exp(x)*ln(x-2)+(4*x-12)*exp(x))*exp(ln(ln(x-2)+4)^2-4*ln(ln(x-2)+4)+4)+(-5*x+10)*exp(x)*ln(x-2)+(-20*x+40)*exp(x))/((x-2)*ln(x-2)+4*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x +\ln \left(\ln \left(x -2\right)+4\right)^{2}+4}}{\left(\ln \left(x -2\right)+4\right)^{4}}-5 \,{\mathrm e}^{x}$&$28$\\ \hline \end{longtable}"," ",0,"1/(ln(x-2)+4)^4*exp(x+ln(ln(x-2)+4)^2+4)-5*exp(x)","A"
9582,1,56,25,0.357000," ","int((-4*x*ln(2)^2*ln(-x)^2+(8*x^2*ln(2)^2+16*x*ln(2))*ln(-x)+(-4*x^3+20*x-20)*ln(2)^2-16*x^2*ln(2)-16*x)/((x^3-8*x^2+16*x)*ln(2)^2*ln(-x)^2+((-2*x^4+16*x^3-42*x^2+40*x)*ln(2)^2+(-4*x^3+32*x^2-64*x)*ln(2))*ln(-x)+(x^5-8*x^4+26*x^3-40*x^2+25*x)*ln(2)^2+(4*x^4-32*x^3+84*x^2-80*x)*ln(2)+4*x^3-32*x^2+64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 x \ln \left(2\right)-4 \ln \left(2\right) \ln \left(-x \right)+8}{x^{2} \ln \left(2\right)-\ln \left(-x \right) \ln \left(2\right) x -4 x \ln \left(2\right)+4 \ln \left(2\right) \ln \left(-x \right)+5 \ln \left(2\right)+2 x -8}$&$56$\\ risch&$\frac{4}{x -4}-\frac{20 \ln \left(2\right)}{\left(x -4\right) \left(x^{2} \ln \left(2\right)-\ln \left(-x \right) \ln \left(2\right) x -4 x \ln \left(2\right)+4 \ln \left(2\right) \ln \left(-x \right)+5 \ln \left(2\right)+2 x -8\right)}$&$57$\\ \hline \end{longtable}"," ",0,"(4*x*ln(2)-4*ln(2)*ln(-x)+8)/(x^2*ln(2)-ln(-x)*ln(2)*x-4*x*ln(2)+4*ln(2)*ln(-x)+5*ln(2)+2*x-8)","B"
9583,1,26,30,0.559000," ","int(((-9*x^4*exp(7)^4+30*x^2*exp(7)^2-25)*exp(-3*x/(3*x^2*exp(7)^2-5))+18*x^4*exp(7)^4+(-18*x^3-24*x^2)*exp(7)^2-30*x+110)/(9*x^4*exp(7)^4-30*x^2*exp(7)^2+25)/exp(-3*x/(3*x^2*exp(7)^2-5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\left(2 x -4\right) {\mathrm e}^{\frac{3 x}{3 x^{2} {\mathrm e}^{14}-5}}$&$26$\\ norman&$\frac{\left(20-10 x +5 x \,{\mathrm e}^{-\frac{3 x}{3 x^{2} {\mathrm e}^{14}-5}}-12 x^{2} {\mathrm e}^{14}+6 \,{\mathrm e}^{14} x^{3}-3 \,{\mathrm e}^{14} x^{3} {\mathrm e}^{-\frac{3 x}{3 x^{2} {\mathrm e}^{14}-5}}\right) {\mathrm e}^{\frac{3 x}{3 x^{2} {\mathrm e}^{14}-5}}}{3 x^{2} {\mathrm e}^{14}-5}$&$103$\\ \hline \end{longtable}"," ",0,"-x+(2*x-4)*exp(3*x/(3*x^2*exp(14)-5))","A"
9584,1,50,26,0.053000," ","int(((25*exp(x)^2+250*exp(x)+625)*ln(x)^2+(40*exp(x)^2+400*exp(x)+1000)*ln(x)+(2*x-10)*exp(x)^2+(20*x-95)*exp(x)+50*x-250)*exp(((25*exp(x)*x+125*x)*ln(x)^2+(-10*exp(x)*x-50*x)*ln(x)+exp(x)*x^2+5*x^2-5)/(exp(x)+5))/(exp(x)^2+10*exp(x)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{25 x \,{\mathrm e}^{x} \ln \left(x \right)^{2}+125 x \ln \left(x \right)^{2}-10 x \,{\mathrm e}^{x} \ln \left(x \right)+{\mathrm e}^{x} x^{2}-50 x \ln \left(x \right)+5 x^{2}-5}{{\mathrm e}^{x}+5}}$&$50$\\ \hline \end{longtable}"," ",0,"exp((25*x*exp(x)*ln(x)^2+125*x*ln(x)^2-10*x*exp(x)*ln(x)+exp(x)*x^2-50*x*ln(x)+5*x^2-5)/(exp(x)+5))","A"
9585,1,34,30,0.277000," ","int((((2*exp(3)-2)*ln(ln(2)+2)+x*exp(3)-x)*ln(ln(ln(2)+2)+1/2*x)+(((-2*x+2)*exp(3)+2*x-2)*ln(x)+(4-2*x)*exp(3)+2*x-4)*ln(ln(2)+2)+((-x^2+x)*exp(3)+x^2-x)*ln(x)+(-x^2+2*x-1)*exp(3)+x^2-2*x+1)/((2*ln(ln(2)+2)+x)*ln(ln(ln(2)+2)+1/2*x)+(-2*x*ln(x)-2*x)*ln(ln(2)+2)-x^2*ln(x)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left({\mathrm e}^{3}-1\right) x +\left(-{\mathrm e}^{3}+1\right) \ln \left(x +x \ln \left(x \right)-\ln \left(\ln \left(\ln \left(2\right)+2\right)+\frac{x}{2}\right)\right)$&$34$\\ risch&$x \,{\mathrm e}^{3}-x -\ln \left(\ln \left(\ln \left(\ln \left(2\right)+2\right)+\frac{x}{2}\right)-\left(\ln \left(x \right)+1\right) x \right) {\mathrm e}^{3}+\ln \left(\ln \left(\ln \left(\ln \left(2\right)+2\right)+\frac{x}{2}\right)-\left(\ln \left(x \right)+1\right) x \right)$&$51$\\ \hline \end{longtable}"," ",0,"(exp(3)-1)*x+(-exp(3)+1)*ln(x+x*ln(x)-ln(ln(ln(2)+2)+1/2*x))","A"
9586,1,135,28,0.050000," ","int(((8*x^5+10*x^2)*ln(x)^3+(-72*x^5+16*x^4-64*x^3-75*x^2)*ln(x)^2+(192*x^5-128*x^4+320*x^3-8*x^2+128*x)*ln(x)-128*x^5+256*x^4-256*x^3+592*x^2-128*x+336)/((64*x^7-256*x^6+256*x^5-80*x^4+160*x^3+25*x)*ln(x)^2+(-512*x^7+2048*x^6-2560*x^5+2688*x^4-3328*x^3+320*x^2-840*x)*ln(x)+1024*x^7-4096*x^6+6144*x^5-9472*x^4+11776*x^3-5376*x^2+7056*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2} \ln \left(x \right)}{8 x^{3}-16 x^{2}-5}-\frac{20}{64 x^{6}-256 x^{5}+256 x^{4}-80 x^{3}+160 x^{2}+25}-\frac{80 \left(8 x^{3}-16 x^{2}+8 x -21\right)}{\left(64 x^{6}-256 x^{5}+256 x^{4}-80 x^{3}+160 x^{2}+25\right) \left(8 x^{3} \ln \left(x \right)-16 x^{2} \ln \left(x \right)-32 x^{3}+64 x^{2}-5 \ln \left(x \right)-32 x +84\right)}$&$135$\\ \hline \end{longtable}"," ",0,"-x^2/(8*x^3-16*x^2-5)*ln(x)-20/(64*x^6-256*x^5+256*x^4-80*x^3+160*x^2+25)-80*(8*x^3-16*x^2+8*x-21)/(64*x^6-256*x^5+256*x^4-80*x^3+160*x^2+25)/(8*x^3*ln(x)-16*x^2*ln(x)-32*x^3+64*x^2-5*ln(x)-32*x+84)","B"
9587,1,40,25,0.145000," ","int(((-x^4+2*x^2-1)*exp(x)-4*x^4+9*x^2-3)*exp(((x^2-1)*exp(x)+4*x^3-3*x^2-3*x+3)/(x^2-1))/(x^4-2*x^2+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{{\mathrm e}^{x} x^{2}+4 x^{3}-3 x^{2}-{\mathrm e}^{x}-3 x +3}{\left(x -1\right) \left(x +1\right)}}$&$40$\\ norman&$\frac{-x^{2} {\mathrm e}^{\frac{\left(x^{2}-1\right) {\mathrm e}^{x}+4 x^{3}-3 x^{2}-3 x +3}{x^{2}-1}}+{\mathrm e}^{\frac{\left(x^{2}-1\right) {\mathrm e}^{x}+4 x^{3}-3 x^{2}-3 x +3}{x^{2}-1}}}{x^{2}-1}$&$79$\\ \hline \end{longtable}"," ",0,"-exp((exp(x)*x^2+4*x^3-3*x^2-exp(x)-3*x+3)/(x-1)/(x+1))","A"
9588,1,23,20,0.036000," ","int((-2*x^5*exp(1)+2*x^6+10*x^5+8*x^2+64)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-2 x \,{\mathrm e}+10 x -\frac{16}{x^{4}}-\frac{4}{x^{2}}$&$23$\\ risch&$-2 x \,{\mathrm e}+x^{2}+10 x +\frac{-4 x^{2}-16}{x^{4}}$&$24$\\ norman&$\frac{-16+x^{6}+\left(-2 \,{\mathrm e}+10\right) x^{5}-4 x^{2}}{x^{4}}$&$25$\\ gosper&$-\frac{2 x^{5} {\mathrm e}-x^{6}-10 x^{5}+4 x^{2}+16}{x^{4}}$&$30$\\ \hline \end{longtable}"," ",0,"x^2-2*x*exp(1)+10*x-16/x^4-4/x^2","A"
9589,1,31,30,0.074000," ","int(((-27*x+270)*exp((-9*x+45)/x^2)-6*x^3*exp(5)*exp(-2*x+2)+3*x^3*exp(5))/x^3/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x +3 \,{\mathrm e}^{-2 x +2}-3 \,{\mathrm e}^{-\frac{5 x^{2}+9 x -45}{x^{2}}}$&$31$\\ default&${\mathrm e}^{-5} \left(-3 \,{\mathrm e}^{-\frac{9}{x}+\frac{45}{x^{2}}}+3 \,{\mathrm e}^{5} {\mathrm e}^{-2 x} {\mathrm e}^{2}+3 x \,{\mathrm e}^{5}\right)$&$36$\\ norman&$\frac{3 x^{3}+3 x^{2} {\mathrm e}^{-2 x +2}-3 x^{2} {\mathrm e}^{-5} {\mathrm e}^{\frac{-9 x +45}{x^{2}}}}{x^{2}}$&$41$\\ \hline \end{longtable}"," ",0,"3*x+3*exp(-2*x+2)-3*exp(-(5*x^2+9*x-45)/x^2)","A"
9590,1,20,19,0.073000," ","int(1/14*((2-x)*exp(x)+(-14*x^4+14*x^3)*exp(5-x)-14*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{5-x}-x -\frac{{\mathrm e}^{x}}{14 x^{2}}$&$20$\\ norman&$\frac{\left(x^{3} {\mathrm e}^{5}-\frac{{\mathrm e}^{2 x}}{14}-{\mathrm e}^{x} x^{3}\right) {\mathrm e}^{-x}}{x^{2}}$&$29$\\ default&$-x -{\mathrm e}^{5} {\mathrm e}^{-x}-\frac{{\mathrm e}^{x}}{14 x^{2}}-{\mathrm e}^{5} \left(-x \,{\mathrm e}^{-x}-{\mathrm e}^{-x}\right)$&$38$\\ \hline \end{longtable}"," ",0,"x*exp(5-x)-x-1/14*exp(x)/x^2","A"
9591,1,32,27,0.041000," ","int(((-4*x^4+20*x^3-24*x^2)*exp(ln(x)-x-2)+(4*x^3-12*x^2)*ln(x-3)+4*x^3-12*x+36)/((4*x^4-12*x^3)*exp(ln(x)-x-2)+(4*x^4-12*x^3)*ln(x-3)+x^3+9*x^2-36*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+2+\ln \left(x \,{\mathrm e}^{-x -2}+\frac{4 x^{2} \ln \left(x -3\right)+x +12}{4 x^{2}}\right)$&$32$\\ \hline \end{longtable}"," ",0,"ln(x)+2+ln(x*exp(-x-2)+1/4*(4*x^2*ln(x-3)+x+12)/x^2)","A"
9592,1,15,20,0.020000," ","int((-4*exp(3)*ln(2)-ln(3)-3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \,{\mathrm e}^{3} \ln \left(2\right)+\ln \left(3\right)+3}{x}$&$15$\\ norman&$\frac{4 \,{\mathrm e}^{3} \ln \left(2\right)+\ln \left(3\right)+3}{x}$&$15$\\ default&$-\frac{-4 \,{\mathrm e}^{3} \ln \left(2\right)-\ln \left(3\right)-3}{x}$&$18$\\ risch&$\frac{4 \,{\mathrm e}^{3} \ln \left(2\right)}{x}+\frac{\ln \left(3\right)}{x}+\frac{3}{x}$&$22$\\ \hline \end{longtable}"," ",0,"(4*exp(3)*ln(2)+ln(3)+3)/x","A"
9593,1,9,23,0.016000," ","int((4*x-2)*exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$2 \,{\mathrm e}^{4} x \left(x -1\right)$&$9$\\ default&$\left(2 x^{2}-2 x \right) {\mathrm e}^{4}$&$13$\\ norman&$-2 x \,{\mathrm e}^{4}+2 x^{2} {\mathrm e}^{4}$&$14$\\ risch&$-2 x \,{\mathrm e}^{4}+2 x^{2} {\mathrm e}^{4}$&$14$\\ \hline \end{longtable}"," ",0,"2*exp(4)*x*(x-1)","A"
9594,1,30,20,0.099000," ","int(((2*x^2*exp(3)^3-6*x^2*exp(3)^2+6*x^2*exp(3)-2*x^2)*exp(x^2)*ln(x)+(-10*x^3*exp(3)^2+20*x^3*exp(3)-10*x^3)*exp(x^2)-2*exp(3)^3+(10*x+6)*exp(3)^2+(-20*x-6)*exp(3)+10*x+2)*exp(exp(x^2))/((x*exp(3)^3-3*x*exp(3)^2+3*x*exp(3)-x)*ln(x)^3+(-15*x^2*exp(3)^2+30*x^2*exp(3)-15*x^2)*ln(x)^2+(75*x^3*exp(3)-75*x^3)*ln(x)-125*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left({\mathrm e}^{6}-2 \,{\mathrm e}^{3}+1\right) {\mathrm e}^{{\mathrm e}^{x^{2}}}}{\left(\ln \left(x \right) {\mathrm e}^{3}-\ln \left(x \right)-5 x \right)^{2}}$&$30$\\ \hline \end{longtable}"," ",0,"(exp(6)-2*exp(3)+1)/(ln(x)*exp(3)-ln(x)-5*x)^2*exp(exp(x^2))","A"
9595,1,22,24,0.072000," ","int(1/5*((-5*x*exp(x)*ln(exp(5)-4)*exp(x*ln(exp(5)-4))-5*exp(x))*exp(exp(x*ln(exp(5)-4)))+(5*exp(x)-2*x^2+2*x)*exp(1/5*x/exp(x))^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 x \,{\mathrm e}^{-x}}{5}} x -x \,{\mathrm e}^{\left({\mathrm e}^{5}-4\right)^{x}}$&$22$\\ \hline \end{longtable}"," ",0,"exp(2/5*x*exp(-x))*x-x*exp((exp(5)-4)^x)","A"
9596,1,19,23,0.404000," ","int((((-4*x^2+4*x)*exp(x)-4*x^2+4*x-4)*exp(ln(exp(25)/x)+exp(x)+x)+1)*exp(x/exp((4*x-4)*exp(ln(exp(25)/x)+exp(x)+x)))/exp((4*x-4)*exp(ln(exp(25)/x)+exp(x)+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x \,{\mathrm e}^{-\frac{4 \left(x -1\right) {\mathrm e}^{25+{\mathrm e}^{x}+x}}{x}}}$&$19$\\ \hline \end{longtable}"," ",0,"exp(x*exp(-4*(x-1)*exp(25+exp(x)+x)/x))","A"
9597,1,185,27,0.530000," ","int(((4*x^4+2*x^3)*exp(ln(exp(x)^2*x^2)+2*x)+8*x^3)*exp(1/4*exp(ln(exp(x)^2*x^2)+2*x)+ln(x)-1/4)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{8} {\mathrm e}^{x^{2} {\mathrm e}^{4 x} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2}}{2}} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)}{2}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)^{2}}{2}} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i x^{2} {\mathrm e}^{2 x}\right)^{3}}{2}}-1}$&$185$\\ \hline \end{longtable}"," ",0,"x^8*exp(x^2*exp(4*x)*exp(-1/2*I*Pi*csgn(I*exp(2*x))^3)*exp(-1/2*I*Pi*csgn(I*exp(2*x))*csgn(I*exp(x))^2)*exp(-1/2*I*Pi*csgn(I*x^2)^3)*exp(-1/2*I*Pi*csgn(I*x^2)*csgn(I*x)^2)*exp(-1/2*I*Pi*csgn(I*exp(2*x))*csgn(I*x^2)*csgn(I*x^2*exp(2*x)))*exp(1/2*I*Pi*csgn(I*exp(2*x))*csgn(I*x^2*exp(2*x))^2)*exp(1/2*I*Pi*csgn(I*x^2)*csgn(I*x^2*exp(2*x))^2)*exp(-1/2*I*Pi*csgn(I*x^2*exp(2*x))^3)-1)","C"
9598,1,31,26,0.314000," ","int(((ln(x)+x*ln(5)+(-2*x-1)*exp(2)+2*x^2)*ln((-ln(x)-x*ln(5)+(2*x+1)*exp(2)-2*x^2)/x)-ln(x)+exp(2)+2*x^2+1)/(ln(x)+x*ln(5)+(-2*x-1)*exp(2)+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\frac{-\ln \left(x \right)-x \ln \left(5\right)+\left(2 x +1\right) {\mathrm e}^{2}-2 x^{2}}{x}\right)$&$31$\\ risch&$\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\left(\frac{1}{2}+x \right) {\mathrm e}^{2}-\frac{x \ln \left(5\right)}{2}-x^{2}-\frac{\ln \left(x \right)}{2}\right)}{x}\right)^{2}}{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(\left(\frac{1}{2}+x \right) {\mathrm e}^{2}-\frac{x \ln \left(5\right)}{2}-x^{2}-\frac{\ln \left(x \right)}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\frac{1}{2}+x \right) {\mathrm e}^{2}-\frac{x \ln \left(5\right)}{2}-x^{2}-\frac{\ln \left(x \right)}{2}\right)}{x}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(\left(\frac{1}{2}+x \right) {\mathrm e}^{2}-\frac{x \ln \left(5\right)}{2}-x^{2}-\frac{\ln \left(x \right)}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\frac{1}{2}+x \right) {\mathrm e}^{2}-\frac{x \ln \left(5\right)}{2}-x^{2}-\frac{\ln \left(x \right)}{2}\right)}{x}\right)}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(\left(\frac{1}{2}+x \right) {\mathrm e}^{2}-\frac{x \ln \left(5\right)}{2}-x^{2}-\frac{\ln \left(x \right)}{2}\right)}{x}\right)^{3}}{2}+x \ln \left(2\right)-x \ln \left(x \right)+x \ln \left(\left(\frac{1}{2}+x \right) {\mathrm e}^{2}-\frac{x \ln \left(5\right)}{2}-x^{2}-\frac{\ln \left(x \right)}{2}\right)$&$237$\\ \hline \end{longtable}"," ",0,"x*ln((-ln(x)-x*ln(5)+(2*x+1)*exp(2)-2*x^2)/x)","A"
9599,1,14,14,0.024000," ","int((-20*ln(x)^3*exp(5*ln(x)^4)-4*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 x -{\mathrm e}^{5 \ln \left(x \right)^{4}}$&$14$\\ norman&$-4 x -{\mathrm e}^{5 \ln \left(x \right)^{4}}$&$14$\\ risch&$-4 x -{\mathrm e}^{5 \ln \left(x \right)^{4}}$&$14$\\ \hline \end{longtable}"," ",0,"-4*x-exp(5*ln(x)^4)","A"
9600,1,16,16,0.026000," ","int(((-exp(x)*x+2*x-1)*ln(x)+1)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(x \right)\right)+2 x -\ln \left(x \right)-{\mathrm e}^{x}$&$16$\\ norman&$\ln \left(\ln \left(x \right)\right)+2 x -\ln \left(x \right)-{\mathrm e}^{x}$&$16$\\ risch&$\ln \left(\ln \left(x \right)\right)+2 x -\ln \left(x \right)-{\mathrm e}^{x}$&$16$\\ \hline \end{longtable}"," ",0,"ln(ln(x))+2*x-ln(x)-exp(x)","A"
9601,1,3,4,0.012000," ","int(1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)$&$3$\\ norman&$\ln \left(x \right)$&$3$\\ risch&$\ln \left(x \right)$&$3$\\ \hline \end{longtable}"," ",0,"ln(x)","A"
9602,1,64,23,0.383000," ","int((((-2*exp(x)+6*x-6)*exp(x+21)-2*exp(x)^2*x^2-12*exp(x)*x^2-18*x^2)*exp((exp(x+21)-exp(x)*x^2-3*x^2)/(exp(x)*x+3*x))^2+((6*exp(x)-18*x+18)*exp(x+21)+6*exp(x)^2*x^2+36*exp(x)*x^2+54*x^2)*exp((exp(x+21)-exp(x)*x^2-3*x^2)/(exp(x)*x+3*x)))/(exp(x)^2*x^2+6*exp(x)*x^2+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{2 \left({\mathrm e}^{x} x^{2}+3 x^{2}-{\mathrm e}^{x +21}\right)}{x \left(3+{\mathrm e}^{x}\right)}}-6 \,{\mathrm e}^{-\frac{{\mathrm e}^{x} x^{2}+3 x^{2}-{\mathrm e}^{x +21}}{x \left(3+{\mathrm e}^{x}\right)}}$&$64$\\ norman&$\frac{{\mathrm e}^{x} x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{x +21}-2 \,{\mathrm e}^{x} x^{2}-6 x^{2}}{{\mathrm e}^{x} x +3 x}}-18 x \,{\mathrm e}^{\frac{{\mathrm e}^{x} {\mathrm e}^{21}-{\mathrm e}^{x} x^{2}-3 x^{2}}{{\mathrm e}^{x} x +3 x}}+3 x \,{\mathrm e}^{\frac{2 \,{\mathrm e}^{x +21}-2 \,{\mathrm e}^{x} x^{2}-6 x^{2}}{{\mathrm e}^{x} x +3 x}}-6 \,{\mathrm e}^{x} x \,{\mathrm e}^{\frac{{\mathrm e}^{x} {\mathrm e}^{21}-{\mathrm e}^{x} x^{2}-3 x^{2}}{{\mathrm e}^{x} x +3 x}}}{x \left(3+{\mathrm e}^{x}\right)}$&$151$\\ \hline \end{longtable}"," ",0,"exp(-2*(exp(x)*x^2+3*x^2-exp(x+21))/x/(3+exp(x)))-6*exp(-(exp(x)*x^2+3*x^2-exp(x+21))/x/(3+exp(x)))","B"
9603,1,22,22,0.059000," ","int((2*(-20*x^2+100*x-125)*ln(2)-64*x^2+300*x-375)/(4*x^4-20*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{2}{2 x -5}-\frac{-10 \ln \left(2\right)-15}{x}$&$22$\\ gosper&$\frac{20 x \ln \left(2\right)-50 \ln \left(2\right)+32 x -75}{x \left(2 x -5\right)}$&$26$\\ norman&$\frac{\left(20 \ln \left(2\right)+32\right) x -50 \ln \left(2\right)-75}{x \left(2 x -5\right)}$&$26$\\ risch&$\frac{2 \left(10 \ln \left(2\right)+16\right) x -50 \ln \left(2\right)-75}{x \left(2 x -5\right)}$&$27$\\ \hline \end{longtable}"," ",0,"2/(2*x-5)-(-10*ln(2)-15)/x","A"
9604,1,44,32,0.070000," ","int(((((-4*ln(3)-2*x)*exp(x)+2*(2*x+4)*ln(3)+2*x^2+4*x)*ln(2*ln(3)+x)+2*exp(x)*x-2*x^2-4*x)*ln(1/5*exp(x)-2/5-1/5*x)+((4*x*ln(3)+2*x^2)*exp(x)-4*x*ln(3)-2*x^2)*ln(2*ln(3)+x)-2*exp(x)*x^2+2*(x^3+x^2)*ln(3)+x^4+3*x^3+4*x^2)/((2*x^2*ln(3)+x^3)*exp(x)+2*(-x^3-2*x^2)*ln(3)-x^4-2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(2 \ln \left(3\right)+x \right) \ln \left(\frac{{\mathrm e}^{x}}{5}-\frac{2}{5}-\frac{x}{5}\right)}{x}-2 \ln \left(2 \ln \left(3\right)+x \right)-x +\ln \left({\mathrm e}^{x}-2-x \right)$&$44$\\ \hline \end{longtable}"," ",0,"2/x*ln(2*ln(3)+x)*ln(1/5*exp(x)-2/5-1/5*x)-2*ln(2*ln(3)+x)-x+ln(exp(x)-2-x)","A"
9605,1,29,23,0.079000," ","int(((6*x^5+25*x^4+36*x^3+27*x^2)*exp(4)-4*x^6-15*x^5-18*x^4-9*x^3)/(exp(4)^3-3*x*exp(4)^2+3*x^2*exp(4)-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{6}+5 x^{5}+9 x^{4}+9 x^{3}}{\left({\mathrm e}^{4}-x \right)^{2}}$&$29$\\ gosper&$\frac{x^{3} \left(x^{3}+5 x^{2}+9 x +9\right)}{{\mathrm e}^{8}-2 x \,{\mathrm e}^{4}+x^{2}}$&$33$\\ risch&$4 x \,{\mathrm e}^{12}+3 x^{2} {\mathrm e}^{8}+2 x^{3} {\mathrm e}^{4}+x^{4}+15 x \,{\mathrm e}^{8}+10 x^{2} {\mathrm e}^{4}+5 x^{3}+18 x \,{\mathrm e}^{4}+9 x^{2}+9 x +\frac{\left(6 \,{\mathrm e}^{20}+25 \,{\mathrm e}^{16}+36 \,{\mathrm e}^{12}+27 \,{\mathrm e}^{8}\right) x -5 \,{\mathrm e}^{24}-20 \,{\mathrm e}^{20}-27 \,{\mathrm e}^{16}-18 \,{\mathrm e}^{12}}{{\mathrm e}^{8}-2 x \,{\mathrm e}^{4}+x^{2}}$&$104$\\ default&$58 x \,{\mathrm e}^{12}+3 x^{2} {\mathrm e}^{8}+2 x^{3} {\mathrm e}^{4}+x^{4}+15 x \,{\mathrm e}^{8}-54 \,{\mathrm e}^{4} {\mathrm e}^{8} x +10 x^{2} {\mathrm e}^{4}+5 x^{3}+18 x \,{\mathrm e}^{4}+9 x^{2}+9 x -\frac{\left(\munderset{\textit{\_R} =\RootOf \left(-{\mathrm e}^{12}+3 \textit{\_Z} \,{\mathrm e}^{8}-3 \textit{\_Z}^{2} {\mathrm e}^{4}+\textit{\_Z}^{3}\right)}{\sum}\frac{\left(-18 \,{\mathrm e}^{12} {\mathrm e}^{4}+6 \textit{\_R} \,{\mathrm e}^{20}+25 \textit{\_R} \,{\mathrm e}^{16}-15 \,{\mathrm e}^{8} {\mathrm e}^{12}+27 \textit{\_R} \,{\mathrm e}^{8}-4 \,{\mathrm e}^{24}+36 \textit{\_R} \,{\mathrm e}^{12}-9 \,{\mathrm e}^{12}\right) \ln \left(x -\textit{\_R} \right)}{{\mathrm e}^{8}-2 \textit{\_R} \,{\mathrm e}^{4}+\textit{\_R}^{2}}\right)}{3}$&$173$\\ \hline \end{longtable}"," ",0,"(x^6+5*x^5+9*x^4+9*x^3)/(exp(4)-x)^2","A"
9606,1,23,27,0.040000," ","int(((-40*x^2+80*x-16)*exp(2*x)+40*x-40)/((5*x^2-10*x+2)*ln(-x^2+2*x-2/5)^2+(-10*x^2+20*x-4)*exp(2*x)*ln(-x^2+2*x-2/5)+(5*x^2-10*x+2)*exp(2*x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4}{{\mathrm e}^{2 x}-\ln \left(-x^{2}+2 x -\frac{2}{5}\right)}$&$23$\\ \hline \end{longtable}"," ",0,"4/(exp(2*x)-ln(-x^2+2*x-2/5))","A"
9607,1,829,41,5.566000," ","int(((-600*x+1200)*ln(x)*ln((2-x)*ln(x))^2+((2400*x^2-6000*x)*ln(x)-1200*x+2400)*ln((2-x)*ln(x))+(-1800*x^3+4800*x^2+1875*x-3750)*ln(x)+1200*x^2-2400*x)/((256*x^3-512*x^2)*ln(x)*ln((2-x)*ln(x))^4+(-1024*x^4+2048*x^3)*ln(x)*ln((2-x)*ln(x))^3+(1536*x^5-3072*x^4-1600*x^3+3200*x^2)*ln(x)*ln((2-x)*ln(x))^2+(-1024*x^6+2048*x^5+3200*x^4-6400*x^3)*ln(x)*ln((2-x)*ln(x))+(256*x^7-512*x^6-1600*x^5+3200*x^4+2500*x^3-5000*x^2)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{75}{4 x \left(25+8 \pi^{2}+16 x \ln \left(\ln \left(x \right)\right)-8 \ln \left(x -2\right)^{2}-8 \ln \left(\ln \left(x \right)\right)^{2}-8 x^{2}+16 x \ln \left(x -2\right)-16 i \pi  x \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{2}-8 \pi^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)+2 \pi^{2} \mathrm{csgn}\left(i \left(x -2\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{2}-4 \pi^{2} \mathrm{csgn}\left(i \left(x -2\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{3}+8 \pi^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{3}-8 i \ln \left(\ln \left(x \right)\right) \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{3}-8 i \ln \left(x -2\right) \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{3}+8 i \pi  x \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{3}+16 i \ln \left(\ln \left(x \right)\right) \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{2}+16 i \ln \left(x -2\right) \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{2}+8 i \pi  x \,\mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{2}+8 i \pi  x \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{2}-8 i \ln \left(\ln \left(x \right)\right) \pi  \,\mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{2}-8 i \ln \left(\ln \left(x \right)\right) \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{2}-8 i \ln \left(x -2\right) \pi  \,\mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{2}-8 i \ln \left(x -2\right) \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{2}-16 \ln \left(\ln \left(x \right)\right) \ln \left(x -2\right)+8 \pi^{2} \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{3}-16 \pi^{2} \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{2}-8 \pi^{2} \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{5}+8 \pi^{2} \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{6}-8 i \pi  x \,\mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)+8 i \ln \left(\ln \left(x \right)\right) \pi  \,\mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)+8 i \ln \left(x -2\right) \pi  \,\mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)+16 i \pi  x -16 i \pi  \ln \left(\ln \left(x \right)\right)-16 i \pi  \ln \left(x -2\right)-8 \pi^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{4}+4 \pi^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{5}+4 \pi^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{5}+8 \pi^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{2}+8 \pi^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i \left(x -2\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{4}-8 \pi^{2} \mathrm{csgn}\left(i \left(x -2\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(x -2\right)\right)^{4}\right)}$&$829$\\ \hline \end{longtable}"," ",0,"-75/4/x/(25+8*Pi^2+16*x*ln(ln(x))-8*ln(x-2)^2-8*ln(ln(x))^2-8*x^2+16*x*ln(x-2)+16*I*ln(ln(x))*Pi*csgn(I*ln(x)*(x-2))^2+16*I*ln(x-2)*Pi*csgn(I*ln(x)*(x-2))^2-16*I*Pi*x*csgn(I*ln(x)*(x-2))^2-8*Pi^2*csgn(I*(x-2))*csgn(I*ln(x))*csgn(I*ln(x)*(x-2))+2*Pi^2*csgn(I*(x-2))^2*csgn(I*ln(x))^2*csgn(I*ln(x)*(x-2))^2-4*Pi^2*csgn(I*(x-2))^2*csgn(I*ln(x))*csgn(I*ln(x)*(x-2))^3-4*Pi^2*csgn(I*(x-2))*csgn(I*ln(x))^2*csgn(I*ln(x)*(x-2))^3+8*Pi^2*csgn(I*ln(x)*(x-2))^3+8*Pi^2*csgn(I*(x-2))*csgn(I*ln(x))*csgn(I*ln(x)*(x-2))^3+16*I*Pi*x-16*I*Pi*ln(ln(x))-16*I*Pi*ln(x-2)+8*I*Pi*x*csgn(I*(x-2))*csgn(I*ln(x)*(x-2))^2-16*Pi^2*csgn(I*ln(x)*(x-2))^2-8*I*ln(ln(x))*Pi*csgn(I*ln(x)*(x-2))^3-8*I*ln(x-2)*Pi*csgn(I*ln(x)*(x-2))^3+8*I*Pi*x*csgn(I*ln(x)*(x-2))^3+8*I*Pi*x*csgn(I*ln(x))*csgn(I*ln(x)*(x-2))^2-8*I*ln(ln(x))*Pi*csgn(I*(x-2))*csgn(I*ln(x)*(x-2))^2-8*I*ln(ln(x))*Pi*csgn(I*ln(x))*csgn(I*ln(x)*(x-2))^2-8*I*ln(x-2)*Pi*csgn(I*(x-2))*csgn(I*ln(x)*(x-2))^2-8*I*ln(x-2)*Pi*csgn(I*ln(x))*csgn(I*ln(x)*(x-2))^2-16*ln(ln(x))*ln(x-2)-8*Pi^2*csgn(I*ln(x)*(x-2))^5+8*Pi^2*csgn(I*ln(x)*(x-2))^4+2*Pi^2*csgn(I*ln(x)*(x-2))^6-8*I*Pi*x*csgn(I*(x-2))*csgn(I*ln(x))*csgn(I*ln(x)*(x-2))+8*I*ln(ln(x))*Pi*csgn(I*(x-2))*csgn(I*ln(x))*csgn(I*ln(x)*(x-2))+8*I*ln(x-2)*Pi*csgn(I*(x-2))*csgn(I*ln(x))*csgn(I*ln(x)*(x-2))-8*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)*(x-2))^4+4*Pi^2*csgn(I*(x-2))*csgn(I*ln(x)*(x-2))^5+4*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)*(x-2))^5+8*Pi^2*csgn(I*(x-2))*csgn(I*ln(x)*(x-2))^2+8*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)*(x-2))^2+2*Pi^2*csgn(I*(x-2))^2*csgn(I*ln(x)*(x-2))^4+2*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)*(x-2))^4-8*Pi^2*csgn(I*(x-2))*csgn(I*ln(x)*(x-2))^4)","C"
9608,1,17,19,0.111000," ","int(((3*x-3)*exp(4)^2+4*x^2)/((3*x*exp(4)^2+4*x^2)*ln((3*exp(4)^2+4*x)/x)+3*x^2*exp(4)^2+4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\frac{3 \,{\mathrm e}^{8}+4 x}{x}\right)+x \right)$&$17$\\ norman&$\ln \left(\ln \left(\frac{3 \,{\mathrm e}^{8}+4 x}{x}\right)+x \right)$&$19$\\ \hline \end{longtable}"," ",0,"ln(ln((3*exp(8)+4*x)/x)+x)","A"
9609,1,88,27,0.124000," ","int(((10*x*ln(x)+25*x^2-10*x)*ln(5*x^2)+(25*x^3-70*x^2-55*x)*ln(x)-25*x^3+10*x^2-75*x+30)/(25*x^3-20*x^2+4*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4}{5 x -2}+\frac{\frac{5 i \pi  x \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)}{2}-5 i \pi  x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+15+\frac{5 i \pi  x \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-5 x \ln \left(5\right)+5 x^{2}}{\left(5 x -2\right) \ln \left(x \right)}$&$88$\\ \hline \end{longtable}"," ",0,"-4/(5*x-2)+5/2*(I*Pi*x*csgn(I*x)^2*csgn(I*x^2)-2*I*Pi*x*csgn(I*x)*csgn(I*x^2)^2+6+I*Pi*x*csgn(I*x^2)^3-2*x*ln(5)+2*x^2)/(5*x-2)/ln(x)","C"
9610,1,47,16,0.122000," ","int(((2*x^2-3*x+1)*exp(5)*ln(x^2-2*x+1)*ln(ln(x^2-2*x+1))+(2*x^2-2*x-12)*exp(5))/(x-1)/ln(x^2-2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-6 \,{\mathrm e}^{5} \ln \left(\ln \left(x^{2}-2 x +1\right)\right)+x^{2} {\mathrm e}^{5} \ln \left(\ln \left(x^{2}-2 x +1\right)\right)-x \,{\mathrm e}^{5} \ln \left(\ln \left(x^{2}-2 x +1\right)\right)$&$47$\\ \hline \end{longtable}"," ",0,"-6*exp(5)*ln(ln(x^2-2*x+1))+x^2*exp(5)*ln(ln(x^2-2*x+1))-x*exp(5)*ln(ln(x^2-2*x+1))","B"
9611,1,26,22,0.227000," ","int(((3*(16*x^2+40*x+25)*ln(2)+16*x^2+60*x+50)*ln((-12*x-15)/(3*(4*x+5)*ln(2)+4*x+10))+20*x)/(3*(16*x^2+40*x+25)*ln(2)+16*x^2+60*x+50),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\frac{-12 x -15}{3 \left(4 x +5\right) \ln \left(2\right)+4 x +10}\right)$&$26$\\ risch&$x \ln \left(\frac{-12 x -15}{3 \left(4 x +5\right) \ln \left(2\right)+4 x +10}\right)$&$26$\\ derivativedivides&$-\frac{15 \left(-\frac{3 \ln \left(3+\left(3 \ln \left(2\right)+1\right) \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right)\right) \ln \left(2\right)^{2}}{3 \ln \left(2\right)+1}-\frac{2 \ln \left(3+\left(3 \ln \left(2\right)+1\right) \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right)\right) \ln \left(2\right)}{3 \ln \left(2\right)+1}-\frac{\ln \left(3+\left(3 \ln \left(2\right)+1\right) \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right)\right)}{3 \left(3 \ln \left(2\right)+1\right)}+\frac{3 \ln \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)^{2}}{3 \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}-\frac{3}{3 \ln \left(2\right)+1}+3}+\frac{2 \ln \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)}{3 \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}-\frac{3}{3 \ln \left(2\right)+1}+3}+\frac{\ln \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right)}{9 \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)+\frac{45}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}-\frac{9}{3 \ln \left(2\right)+1}+9}+\frac{3 \ln \left(2\right)^{2} \ln \left(3 \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}-\frac{3}{3 \ln \left(2\right)+1}+3\right)}{3 \ln \left(2\right)+1}+3 \ln \left(2\right)^{2} \ln \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right)+\frac{2 \ln \left(2\right) \ln \left(3 \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}-\frac{3}{3 \ln \left(2\right)+1}+3\right)}{3 \ln \left(2\right)+1}+2 \ln \left(2\right) \ln \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right)+\frac{\ln \left(3 \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}-\frac{3}{3 \ln \left(2\right)+1}+3\right)}{9 \ln \left(2\right)+3}+\frac{\ln \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right)}{3}\right)}{4 \left(3 \ln \left(2\right)+1\right)^{2}}$&$1071$\\ default&$-\frac{15 \left(-\frac{3 \ln \left(3+\left(3 \ln \left(2\right)+1\right) \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right)\right) \ln \left(2\right)^{2}}{3 \ln \left(2\right)+1}-\frac{2 \ln \left(3+\left(3 \ln \left(2\right)+1\right) \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right)\right) \ln \left(2\right)}{3 \ln \left(2\right)+1}-\frac{\ln \left(3+\left(3 \ln \left(2\right)+1\right) \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right)\right)}{3 \left(3 \ln \left(2\right)+1\right)}+\frac{3 \ln \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)^{2}}{3 \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}-\frac{3}{3 \ln \left(2\right)+1}+3}+\frac{2 \ln \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)}{3 \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}-\frac{3}{3 \ln \left(2\right)+1}+3}+\frac{\ln \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right)}{9 \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)+\frac{45}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}-\frac{9}{3 \ln \left(2\right)+1}+9}+\frac{3 \ln \left(2\right)^{2} \ln \left(3 \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}-\frac{3}{3 \ln \left(2\right)+1}+3\right)}{3 \ln \left(2\right)+1}+3 \ln \left(2\right)^{2} \ln \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right)+\frac{2 \ln \left(2\right) \ln \left(3 \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}-\frac{3}{3 \ln \left(2\right)+1}+3\right)}{3 \ln \left(2\right)+1}+2 \ln \left(2\right) \ln \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right)+\frac{\ln \left(3 \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right) \ln \left(2\right)+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}-\frac{3}{3 \ln \left(2\right)+1}+3\right)}{9 \ln \left(2\right)+3}+\frac{\ln \left(-\frac{3}{3 \ln \left(2\right)+1}+\frac{15}{\left(3 \ln \left(2\right)+1\right) \left(12 x \ln \left(2\right)+15 \ln \left(2\right)+4 x +10\right)}\right)}{3}\right)}{4 \left(3 \ln \left(2\right)+1\right)^{2}}$&$1071$\\ \hline \end{longtable}"," ",0,"x*ln((-12*x-15)/(3*(4*x+5)*ln(2)+4*x+10))","A"
9612,1,31,26,0.124000," ","int((((5*x^3-5*x^2-20*x-5)*ln(3)-10*x-20)*exp(x)+(-10*x^2-10*x-5)*ln(3)-20*x-10)/((x^2+2*x+1)*exp(x)^2+(2*x^3+4*x^2+2*x)*exp(x)+x^4+2*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \left(x^{2} \ln \left(3\right)-x \ln \left(3\right)-\ln \left(3\right)-2\right)}{\left(x +1\right) \left({\mathrm e}^{x}+x \right)}$&$31$\\ norman&$\frac{5 \ln \left(3\right) {\mathrm e}^{x}+10 x \ln \left(3\right)+5 x \ln \left(3\right) {\mathrm e}^{x}+10+5 \ln \left(3\right)}{{\mathrm e}^{x} x +x^{2}+{\mathrm e}^{x}+x}$&$39$\\ \hline \end{longtable}"," ",0,"-5*(x^2*ln(3)-x*ln(3)-ln(3)-2)/(x+1)/(exp(x)+x)","A"
9613,1,13,23,0.029000," ","int((exp(x)*x-4*x*ln(5)^2+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-4 x \ln \left(5\right)^{2}+{\mathrm e}^{x}$&$13$\\ norman&$\ln \left(x \right)-4 x \ln \left(5\right)^{2}+{\mathrm e}^{x}$&$13$\\ risch&$\ln \left(x \right)-4 x \ln \left(5\right)^{2}+{\mathrm e}^{x}$&$13$\\ \hline \end{longtable}"," ",0,"ln(x)-4*x*ln(5)^2+exp(x)","A"
9614,1,8,7,0.017000," ","int(1/40*(-27*ln(x)+9)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{9 \ln \left(x \right)}{40 x^{3}}$&$8$\\ norman&$\frac{9 \ln \left(x \right)}{40 x^{3}}$&$8$\\ risch&$\frac{9 \ln \left(x \right)}{40 x^{3}}$&$8$\\ \hline \end{longtable}"," ",0,"9/40*ln(x)/x^3","A"
9615,1,85,24,0.289000," ","int(((3*x*exp(x)*exp(exp(x))+6*x)*exp(3/2*exp(exp(x))+3*x-6)+4*x^2-4)/(2*x*exp(3/2*exp(exp(x))+3*x-6)-2*x*ln(4/25*x^2)+2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$6+\ln \left({\mathrm e}^{\frac{3 \,{\mathrm e}^{{\mathrm e}^{x}}}{2}+3 x -6}+\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 i x^{2}+4 i \ln \left(2\right)-4 i \ln \left(5\right)+4 i \ln \left(x \right)\right)}{2}\right)$&$85$\\ \hline \end{longtable}"," ",0,"6+ln(exp(3/2*exp(exp(x))+3*x-6)+1/2*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x^2)^3-2*I*x^2+4*I*ln(2)-4*I*ln(5)+4*I*ln(x)))","C"
9616,1,42,17,0.022000," ","int(exp(x)+72*x^7-3024*x^6+52056*x^5-473040*x^4+2436696*x^3-7095600*x^2+10845000*x-6750000,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$9 x^{8}-432 x^{7}+8676 x^{6}-94608 x^{5}+609174 x^{4}-2365200 x^{3}+5422500 x^{2}-6750000 x +{\mathrm e}^{x}$&$42$\\ norman&$9 x^{8}-432 x^{7}+8676 x^{6}-94608 x^{5}+609174 x^{4}-2365200 x^{3}+5422500 x^{2}-6750000 x +{\mathrm e}^{x}$&$42$\\ risch&$9 x^{8}-432 x^{7}+8676 x^{6}-94608 x^{5}+609174 x^{4}-2365200 x^{3}+5422500 x^{2}-6750000 x +{\mathrm e}^{x}$&$42$\\ \hline \end{longtable}"," ",0,"9*x^8-432*x^7+8676*x^6-94608*x^5+609174*x^4-2365200*x^3+5422500*x^2-6750000*x+exp(x)","B"
9617,1,468,24,0.219000," ","int(((-4*x^2+2)*exp(x^2)+(-2*x+2)*exp(x)+8*ln(2)+10)*ln(4*x/(exp(x^2)+exp(x)+4*ln(2)-3*x+5))/(exp(x^2)*x+exp(x)*x+4*x*ln(2)-3*x^2+5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(2\right)-\frac{3 x}{4}+\frac{5}{4}+\frac{{\mathrm e}^{x}}{4}+\frac{{\mathrm e}^{x^{2}}}{4}\right)^{2}-2 \ln \left(x \right) \ln \left(\ln \left(2\right)-\frac{3 x}{4}+\frac{5}{4}+\frac{{\mathrm e}^{x}}{4}+\frac{{\mathrm e}^{x^{2}}}{4}\right)-i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(2\right)-\frac{3 x}{4}+\frac{5}{4}+\frac{{\mathrm e}^{x}}{4}+\frac{{\mathrm e}^{x^{2}}}{4}}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(2\right)-\frac{3 x}{4}+\frac{5}{4}+\frac{{\mathrm e}^{x}}{4}+\frac{{\mathrm e}^{x^{2}}}{4}}\right)+i \pi  \ln \left(x \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(2\right)-\frac{3 x}{4}+\frac{5}{4}+\frac{{\mathrm e}^{x}}{4}+\frac{{\mathrm e}^{x^{2}}}{4}}\right)^{2}+i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(2\right)-\frac{3 x}{4}+\frac{5}{4}+\frac{{\mathrm e}^{x}}{4}+\frac{{\mathrm e}^{x^{2}}}{4}}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(2\right)-\frac{3 x}{4}+\frac{5}{4}+\frac{{\mathrm e}^{x}}{4}+\frac{{\mathrm e}^{x^{2}}}{4}}\right)^{2}-i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(2\right)-\frac{3 x}{4}+\frac{5}{4}+\frac{{\mathrm e}^{x}}{4}+\frac{{\mathrm e}^{x^{2}}}{4}}\right)^{3}+i \pi  \ln \left({\mathrm e}^{x^{2}}+{\mathrm e}^{x}+4 \ln \left(2\right)-3 x +5\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(2\right)-\frac{3 x}{4}+\frac{5}{4}+\frac{{\mathrm e}^{x}}{4}+\frac{{\mathrm e}^{x^{2}}}{4}}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(2\right)-\frac{3 x}{4}+\frac{5}{4}+\frac{{\mathrm e}^{x}}{4}+\frac{{\mathrm e}^{x^{2}}}{4}}\right)-i \pi  \ln \left({\mathrm e}^{x^{2}}+{\mathrm e}^{x}+4 \ln \left(2\right)-3 x +5\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(2\right)-\frac{3 x}{4}+\frac{5}{4}+\frac{{\mathrm e}^{x}}{4}+\frac{{\mathrm e}^{x^{2}}}{4}}\right)^{2}-i \pi  \ln \left({\mathrm e}^{x^{2}}+{\mathrm e}^{x}+4 \ln \left(2\right)-3 x +5\right) \mathrm{csgn}\left(\frac{i}{\ln \left(2\right)-\frac{3 x}{4}+\frac{5}{4}+\frac{{\mathrm e}^{x}}{4}+\frac{{\mathrm e}^{x^{2}}}{4}}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(2\right)-\frac{3 x}{4}+\frac{5}{4}+\frac{{\mathrm e}^{x}}{4}+\frac{{\mathrm e}^{x^{2}}}{4}}\right)^{2}+i \pi  \ln \left({\mathrm e}^{x^{2}}+{\mathrm e}^{x}+4 \ln \left(2\right)-3 x +5\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(2\right)-\frac{3 x}{4}+\frac{5}{4}+\frac{{\mathrm e}^{x}}{4}+\frac{{\mathrm e}^{x^{2}}}{4}}\right)^{3}+\ln \left(x \right)^{2}$&$468$\\ \hline \end{longtable}"," ",0,"ln(ln(2)-3/4*x+5/4+1/4*exp(x)+1/4*exp(x^2))^2-2*ln(x)*ln(ln(2)-3/4*x+5/4+1/4*exp(x)+1/4*exp(x^2))-I*Pi*ln(x)*csgn(I*x)*csgn(I/(ln(2)-3/4*x+5/4+1/4*exp(x)+1/4*exp(x^2)))*csgn(I*x/(ln(2)-3/4*x+5/4+1/4*exp(x)+1/4*exp(x^2)))+I*Pi*ln(x)*csgn(I*x)*csgn(I*x/(ln(2)-3/4*x+5/4+1/4*exp(x)+1/4*exp(x^2)))^2+I*Pi*ln(x)*csgn(I/(ln(2)-3/4*x+5/4+1/4*exp(x)+1/4*exp(x^2)))*csgn(I*x/(ln(2)-3/4*x+5/4+1/4*exp(x)+1/4*exp(x^2)))^2-I*Pi*ln(x)*csgn(I*x/(ln(2)-3/4*x+5/4+1/4*exp(x)+1/4*exp(x^2)))^3+I*Pi*ln(exp(x^2)+exp(x)+4*ln(2)-3*x+5)*csgn(I*x)*csgn(I/(ln(2)-3/4*x+5/4+1/4*exp(x)+1/4*exp(x^2)))*csgn(I*x/(ln(2)-3/4*x+5/4+1/4*exp(x)+1/4*exp(x^2)))-I*Pi*ln(exp(x^2)+exp(x)+4*ln(2)-3*x+5)*csgn(I*x)*csgn(I*x/(ln(2)-3/4*x+5/4+1/4*exp(x)+1/4*exp(x^2)))^2-I*Pi*ln(exp(x^2)+exp(x)+4*ln(2)-3*x+5)*csgn(I/(ln(2)-3/4*x+5/4+1/4*exp(x)+1/4*exp(x^2)))*csgn(I*x/(ln(2)-3/4*x+5/4+1/4*exp(x)+1/4*exp(x^2)))^2+I*Pi*ln(exp(x^2)+exp(x)+4*ln(2)-3*x+5)*csgn(I*x/(ln(2)-3/4*x+5/4+1/4*exp(x)+1/4*exp(x^2)))^3+ln(x)^2","C"
9618,1,17,23,0.033000," ","int((-3*x*ln(x)+(6*x^2-27*x)*exp(x)^2-21*x-12)/(2*x*ln(x)^2+(4*x*exp(x)^2+4*x^2+16*x)*ln(x)+2*x*exp(x)^4+(4*x^2+16*x)*exp(x)^2+2*x^3+16*x^2+32*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 \left(x -4\right)}{2 \left({\mathrm e}^{2 x}+x +\ln \left(x \right)+4\right)}$&$17$\\ \hline \end{longtable}"," ",0,"-3/2*(x-4)/(exp(2*x)+x+ln(x)+4)","A"
9619,1,30,22,0.067000," ","int(((-x^2+3*x-3)*exp(x-4)-60)/x^2/ln(2*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{\frac{60}{x}+\frac{3 \,{\mathrm e}^{x -4}}{x}-{\mathrm e}^{x -4}}{\ln \left(2 \ln \left(2\right)\right)}$&$30$\\ default&$\frac{\frac{60}{x}+\frac{3 \,{\mathrm e}^{x -4}}{x}-{\mathrm e}^{x -4}}{\ln \left(2 \ln \left(2\right)\right)}$&$30$\\ risch&$\frac{60}{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) x}-\frac{\left(x -3\right) {\mathrm e}^{x -4}}{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) x}$&$35$\\ norman&$\frac{\frac{60}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}+\frac{3 \,{\mathrm e}^{x -4}}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}-\frac{x \,{\mathrm e}^{x -4}}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}}{x}$&$45$\\ \hline \end{longtable}"," ",0,"1/ln(2*ln(2))*(60/x+3*exp(x-4)/x-exp(x-4))","A"
9620,1,21,26,0.040000," ","int((-4*exp(4/x)-x*ln(3)-x^2+2*x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\ln \left(3\right) \ln \left(x \right)+2 \ln \left(x \right)+{\mathrm e}^{\frac{4}{x}}$&$21$\\ derivativedivides&$-x +\ln \left(3\right) \ln \left(\frac{1}{x}\right)-2 \ln \left(\frac{1}{x}\right)+{\mathrm e}^{\frac{4}{x}}$&$24$\\ default&$-x +\ln \left(3\right) \ln \left(\frac{1}{x}\right)-2 \ln \left(\frac{1}{x}\right)+{\mathrm e}^{\frac{4}{x}}$&$24$\\ norman&$\frac{x \,{\mathrm e}^{\frac{4}{x}}-x^{2}}{x}+\left(2-\ln \left(3\right)\right) \ln \left(x \right)$&$29$\\ \hline \end{longtable}"," ",0,"-x-ln(3)*ln(x)+2*ln(x)+exp(4/x)","A"
9621,1,28,26,0.098000," ","int(-2*ln(-ln(ln(ln(2))-5)+5)/(exp(5)-x)/ln(exp(5)^2-2*x*exp(5)+x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(-\ln \left(\ln \left(\ln \left(2\right)\right)-5\right)+5\right)}{\ln \left({\mathrm e}^{10}-2 x \,{\mathrm e}^{5}+x^{2}\right)}$&$28$\\ norman&$-\frac{\ln \left(-\ln \left(\ln \left(\ln \left(2\right)\right)-5\right)+5\right)}{\ln \left({\mathrm e}^{10}-2 x \,{\mathrm e}^{5}+x^{2}\right)}$&$30$\\ \hline \end{longtable}"," ",0,"-ln(-ln(ln(ln(2))-5)+5)/ln(exp(10)-2*x*exp(5)+x^2)","A"
9622,1,22,25,0.064000," ","int(((1-x)*exp(1+ln(x)-x)-x*exp(5-x)*ln(x)+(x*exp(4)-5*x+1)*exp(5-x))/(x*exp(1+ln(x)-x)+x*exp(5-x)*ln(x)+(-x*exp(4)+5*x)*exp(5-x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\ln \left(\ln \left(x \right)+\left({\mathrm e}^{-8} x +5 \,{\mathrm e}^{-4}-1\right) {\mathrm e}^{4}\right)$&$22$\\ norman&$-x +\ln \left({\mathrm e}^{8}-{\mathrm e}^{4} \ln \left(x \right)-5 \,{\mathrm e}^{4}-x \right)$&$24$\\ \hline \end{longtable}"," ",0,"-x+ln(ln(x)+(exp(-8)*x+5*exp(-4)-1)*exp(4))","A"
9623,1,19,25,0.093000," ","int(((5-exp(4))*ln(x)+2*exp(4)-2*x-10)/(x*exp(4)-x^2-5*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)+\ln \left({\mathrm e}^{4}-x -5\right)$&$19$\\ risch&$\ln \left(5-{\mathrm e}^{4}+x \right)-\ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)$&$19$\\ default&$2 \ln \left(\ln \left(x \right)\right)+\frac{5 \ln \left(x \right)}{{\mathrm e}^{4}-5}-\frac{5 \ln \left(5-{\mathrm e}^{4}+x \right)}{{\mathrm e}^{4}-5}-\frac{{\mathrm e}^{4} \ln \left(x \right)}{{\mathrm e}^{4}-5}+\frac{{\mathrm e}^{4} \ln \left(5-{\mathrm e}^{4}+x \right)}{{\mathrm e}^{4}-5}$&$62$\\ \hline \end{longtable}"," ",0,"-ln(x)+2*ln(ln(x))+ln(exp(4)-x-5)","A"
9624,1,8,16,0.017000," ","int((x^3-1600)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{800}{x^{2}}$&$8$\\ risch&$x +\frac{800}{x^{2}}$&$8$\\ gosper&$\frac{x^{3}+800}{x^{2}}$&$10$\\ norman&$\frac{x^{3}+800}{x^{2}}$&$10$\\ \hline \end{longtable}"," ",0,"x+800/x^2","A"
9625,1,49,27,0.063000," ","int((((-2*x-3)*exp(16*x^5+24*x^3+9*x)-3200*x^5-2880*x^3-360*x+40)*ln(x)+(-3-x)*exp(16*x^5+24*x^3+9*x)+40)/exp(16*x^5+24*x^3+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \left({\mathrm e}^{\left(4 x^{2}+3\right)^{2} x} x +3 \,{\mathrm e}^{\left(4 x^{2}+3\right)^{2} x}-40\right) {\mathrm e}^{-\left(4 x^{2}+3\right)^{2} x} \ln \left(x \right)$&$49$\\ \hline \end{longtable}"," ",0,"-x*(exp((4*x^2+3)^2*x)*x+3*exp((4*x^2+3)^2*x)-40)*exp(-(4*x^2+3)^2*x)*ln(x)","A"
9626,1,35,25,0.545000," ","int(((40*x*ln(2)^2+2*(10*x^2-80*x)*ln(2)-40*x^2+150*x)*ln(x)+20*x*ln(2)^2+2*(10*x^2-40*x)*ln(2)+30*x^3-40*x^2+75*x)*exp(5*x^2*ln(x)/(4*ln(2)^2+2*(2*x-8)*ln(2)+6*x^2-8*x+15))/(16*ln(2)^4+8*(4*x-16)*ln(2)^3+4*(16*x^2-48*x+94)*ln(2)^2+2*(24*x^3-128*x^2+188*x-240)*ln(2)+36*x^4-96*x^3+244*x^2-240*x+225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\frac{5 x^{2}}{4 \ln \left(2\right)^{2}+4 x \ln \left(2\right)+6 x^{2}-16 \ln \left(2\right)-8 x +15}}$&$35$\\ norman&$\frac{\left(4 \ln \left(2\right)^{2}-16 \ln \left(2\right)+15\right) {\mathrm e}^{\frac{5 x^{2} \ln \left(x \right)}{4 \ln \left(2\right)^{2}+2 \left(2 x -8\right) \ln \left(2\right)+6 x^{2}-8 x +15}}+\left(4 \ln \left(2\right)-8\right) x \,{\mathrm e}^{\frac{5 x^{2} \ln \left(x \right)}{4 \ln \left(2\right)^{2}+2 \left(2 x -8\right) \ln \left(2\right)+6 x^{2}-8 x +15}}+6 x^{2} {\mathrm e}^{\frac{5 x^{2} \ln \left(x \right)}{4 \ln \left(2\right)^{2}+2 \left(2 x -8\right) \ln \left(2\right)+6 x^{2}-8 x +15}}}{4 \ln \left(2\right)^{2}+4 x \ln \left(2\right)+6 x^{2}-16 \ln \left(2\right)-8 x +15}$&$161$\\ \hline \end{longtable}"," ",0,"x^(5*x^2/(4*ln(2)^2+4*x*ln(2)+6*x^2-16*ln(2)-8*x+15))","A"
9627,1,18,21,0.099000," ","int((x^4+3*x^3-9*x^2-27*x+54)/(3*x^3-27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x^{2}}{6}-2 \ln \left(x \right)+\ln \left(x^{2}-9\right)$&$18$\\ default&$x +\frac{x^{2}}{6}-2 \ln \left(x \right)+\ln \left(x -3\right)+\ln \left(3+x \right)$&$20$\\ norman&$x +\frac{x^{2}}{6}-2 \ln \left(x \right)+\ln \left(x -3\right)+\ln \left(3+x \right)$&$20$\\ meijerg&$-2 \ln \left(x \right)+2 \ln \left(3\right)-i \pi +\ln \left(1-\frac{x^{2}}{9}\right)+\frac{x^{2}}{6}-\frac{3 i \left(\frac{2 i x}{3}-2 i \arctanh \left(\frac{x}{3}\right)\right)}{2}+3 \arctanh \left(\frac{x}{3}\right)$&$48$\\ \hline \end{longtable}"," ",0,"x+1/6*x^2-2*ln(x)+ln(x^2-9)","A"
9628,1,25,20,0.070000," ","int(((1200*x^3-6003*x^2+6015*x-2406)*exp(x)+800*x^6-5201*x^5+12006*x^4-11212*x^3+3208*x^2)/(400*x^5-2400*x^4+4800*x^3-3200*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{401 x}{400}+\frac{3 \left(400 x -401\right) {\mathrm e}^{x}}{400 x \left(x -2\right)^{2}}$&$25$\\ default&$x^{2}-\frac{401 x}{400}+\frac{1197 \,{\mathrm e}^{x}}{800 \left(x -2\right)^{2}}+\frac{1203 \,{\mathrm e}^{x}}{1600 \left(x -2\right)}-\frac{1203 \,{\mathrm e}^{x}}{1600 x}$&$33$\\ norman&$\frac{x^{5}-\frac{801 x}{25}+\frac{2803 x^{2}}{100}-\frac{2001 x^{4}}{400}+3 \,{\mathrm e}^{x} x -\frac{1203 \,{\mathrm e}^{x}}{400}}{x \left(x -2\right)^{2}}$&$36$\\ \hline \end{longtable}"," ",0,"x^2-401/400*x+3/400*(400*x-401)/x/(x-2)^2*exp(x)","A"
9629,1,23,21,0.109000," ","int(1/5*(-x*exp(1)*exp(2)^2+4*x^2*exp(1)-2)*exp(1/16*exp(1)*exp(2)^4-1/2*x*exp(1)*exp(2)^2+x^2*exp(1))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{\frac{{\mathrm e}^{9}}{16}-\frac{x \,{\mathrm e}^{5}}{2}+x^{2} {\mathrm e}}}{5 x}$&$23$\\ gosper&$\frac{2 \,{\mathrm e}^{\frac{{\mathrm e} \,{\mathrm e}^{8}}{16}-\frac{x \,{\mathrm e} \,{\mathrm e}^{4}}{2}+x^{2} {\mathrm e}}}{5 x}$&$31$\\ norman&$\frac{2 \,{\mathrm e}^{\frac{{\mathrm e} \,{\mathrm e}^{8}}{16}-\frac{x \,{\mathrm e} \,{\mathrm e}^{4}}{2}+x^{2} {\mathrm e}}}{5 x}$&$31$\\ \hline \end{longtable}"," ",0,"2/5/x*exp(1/16*exp(9)-1/2*x*exp(5)+x^2*exp(1))","A"
9630,1,17,16,0.012000," ","int(-4*x^3-6*x^2-10*x-3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(x^{3}+2 x^{2}+5 x +3\right)$&$17$\\ default&$-x^{4}-2 x^{3}-5 x^{2}-3 x$&$20$\\ norman&$-x^{4}-2 x^{3}-5 x^{2}-3 x$&$20$\\ risch&$-x^{4}-2 x^{3}-5 x^{2}-3 x$&$20$\\ \hline \end{longtable}"," ",0,"-x*(x^3+2*x^2+5*x+3)","A"
9631,1,16,28,0.081000," ","int((-x^3-x^2-1)/(x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +\ln \left(x \right)+\frac{1}{x}-\ln \left(x +1\right)$&$16$\\ meijerg&$-x +\ln \left(x \right)+\frac{1}{x}-\ln \left(x +1\right)$&$16$\\ risch&$-x +\ln \left(x \right)+\frac{1}{x}-\ln \left(x +1\right)$&$16$\\ \hline \end{longtable}"," ",0,"-x+ln(x)+1/x-ln(x+1)","A"
9632,1,22,23,0.034000," ","int(((2*x^2*ln(x)-2*x^3)*ln(x-ln(x))-x^3+x^2+25*x-25)/(x*ln(x)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} \ln \left(x -\ln \left(x \right)\right)-25 \ln \left(\ln \left(x \right)-x \right)$&$22$\\ \hline \end{longtable}"," ",0,"x^2*ln(x-ln(x))-25*ln(ln(x)-x)","A"
9633,0,0,19,0.013000," ","int((-4*ln(2*x*ln(2))-6*x^3+2)*ln((-ln(2*x*ln(2))+3*x^3+9*x^2)/x^2)/(x*ln(2*x*ln(2))-3*x^4-9*x^3),x)","\[\int \frac{\left(-4 \ln \left(2 x \ln \left(2\right)\right)-6 x^{3}+2\right) \ln \left(\frac{-\ln \left(2 x \ln \left(2\right)\right)+3 x^{3}+9 x^{2}}{x^{2}}\right)}{x \ln \left(2 x \ln \left(2\right)\right)-3 x^{4}-9 x^{3}}\, dx\]"," ",0,"int((-4*ln(2*x*ln(2))-6*x^3+2)*ln((-ln(2*x*ln(2))+3*x^3+9*x^2)/x^2)/(x*ln(2*x*ln(2))-3*x^4-9*x^3),x)","F"
9634,1,13,21,0.017000," ","int(ln(3)-3/2*x+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(-3 x +4 \ln \left(3\right)+16\right)}{4}$&$13$\\ norman&$\left(\ln \left(3\right)+4\right) x -\frac{3 x^{2}}{4}$&$13$\\ default&$x \ln \left(3\right)-\frac{3 x^{2}}{4}+4 x$&$14$\\ risch&$x \ln \left(3\right)-\frac{3 x^{2}}{4}+4 x$&$14$\\ \hline \end{longtable}"," ",0,"1/4*x*(-3*x+4*ln(3)+16)","A"
9635,1,34,23,0.098000," ","int(((-96*ln(6)^3+(32*x-32)*ln(6)^2)*exp(x)^2+(1296*ln(6)^3+(-864*x+432)*ln(6)^2+(144*x^2-144*x)*ln(6))*exp(x))/(27*ln(6)^3-27*x*ln(6)^2+9*x^2*ln(6)-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{16 \ln \left(6\right)^{2} {\mathrm e}^{2 x}}{\left(-3 \ln \left(6\right)+x \right)^{2}}-\frac{144 \ln \left(6\right) {\mathrm e}^{x}}{-3 \ln \left(6\right)+x}$&$34$\\ norman&$\frac{432 \ln \left(6\right)^{2} {\mathrm e}^{x}-16 \ln \left(6\right)^{2} {\mathrm e}^{2 x}-144 \,{\mathrm e}^{x} \ln \left(6\right) x}{\left(3 \ln \left(6\right)-x \right)^{2}}$&$38$\\ \hline \end{longtable}"," ",0,"-16*ln(6)^2*exp(x)^2/(-3*ln(6)+x)^2-144*ln(6)*exp(x)/(-3*ln(6)+x)","A"
9636,1,19,16,0.299000," ","int(((4*x^2-3*x+4)*ln(1/2*(-4*x^2+3*x-4)/x)+4*x^2-4)/(4*x^2-3*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\frac{-4 x^{2}+3 x -4}{2 x}\right)$&$19$\\ risch&$x \ln \left(\frac{-4 x^{2}+3 x -4}{2 x}\right)$&$19$\\ default&$-x \ln \left(2\right)+x \ln \left(\frac{-4 x^{2}+3 x -4}{x}\right)$&$24$\\ \hline \end{longtable}"," ",0,"x*ln(1/2*(-4*x^2+3*x-4)/x)","A"
9637,1,27,24,0.062000," ","int(((4*x^3+12*x^2)*exp(2)^2-4)/(12*ln(2*ln(2))+(x^4+4*x^3)*exp(2)^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(12 \ln \left(2 \ln \left(2\right)\right)+\left(x^{4}+4 x^{3}\right) {\mathrm e}^{4}-4 x \right)$&$27$\\ risch&$\ln \left(x^{4} {\mathrm e}^{4}+4 x^{3} {\mathrm e}^{4}+12 \ln \left(2\right)+12 \ln \left(\ln \left(2\right)\right)-4 x \right)$&$28$\\ default&$\ln \left(x^{4} {\mathrm e}^{4}+4 x^{3} {\mathrm e}^{4}+12 \ln \left(2 \ln \left(2\right)\right)-4 x \right)$&$30$\\ norman&$\ln \left(x^{4} {\mathrm e}^{4}+4 x^{3} {\mathrm e}^{4}+12 \ln \left(2 \ln \left(2\right)\right)-4 x \right)$&$30$\\ \hline \end{longtable}"," ",0,"ln(12*ln(2*ln(2))+(x^4+4*x^3)*exp(2)^2-4*x)","A"
9638,1,33,28,0.199000," ","int(((-ln(5*x)^2+(-2*x-6)*ln(5*x)-x^2-22*x-25)*exp((ln(5*x)+x-13)/(ln(5*x)+3+x))*exp(x*exp((ln(5*x)+x-13)/(ln(5*x)+3+x))+4)+(2*x+1)*exp(x^2+x)*ln(5*x)^2+(4*x^2+14*x+6)*exp(x^2+x)*ln(5*x)+(2*x^3+13*x^2+24*x+9)*exp(x^2+x))/(ln(5*x)^2+(2*x+6)*ln(5*x)+x^2+6*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\left(x +1\right) x}-{\mathrm e}^{x \,{\mathrm e}^{\frac{\ln \left(5 x \right)+x -13}{\ln \left(5 x \right)+3+x}}+4}$&$33$\\ \hline \end{longtable}"," ",0,"exp((x+1)*x)-exp(x*exp((ln(5*x)+x-13)/(ln(5*x)+3+x))+4)","A"
9639,1,15,16,0.055000," ","int(1/5*((-15*x-16)*ln(3)-75*x-155)*exp(1/5*x*ln(3)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-75 x -80\right) 3^{\frac{x}{5}} {\mathrm e}^{x}}{5}$&$15$\\ gosper&$-{\mathrm e}^{\frac{x \ln \left(3\right)}{5}+x} \left(15 x +16\right)$&$16$\\ norman&$-15 x \,{\mathrm e}^{\frac{x \ln \left(3\right)}{5}+x}-16 \,{\mathrm e}^{\frac{x \ln \left(3\right)}{5}+x}$&$23$\\ meijerg&$-\frac{155 \left(1-{\mathrm e}^{-\frac{x \left(-\ln \left(3\right)-5\right)}{5}}\right)}{-\ln \left(3\right)-5}+\frac{5 \left(-15 \ln \left(3\right)-75\right) \left(1-\frac{\left(2+\frac{2 x \left(-\ln \left(3\right)-5\right)}{5}\right) {\mathrm e}^{-\frac{x \left(-\ln \left(3\right)-5\right)}{5}}}{2}\right)}{\left(-\ln \left(3\right)-5\right)^{2}}-\frac{16 \ln \left(3\right) \left(1-{\mathrm e}^{-\frac{x \left(-\ln \left(3\right)-5\right)}{5}}\right)}{-\ln \left(3\right)-5}$&$93$\\ derivativedivides&$\frac{-16 \,{\mathrm e}^{\left(\frac{\ln \left(3\right)}{5}+1\right) x} \ln \left(3\right)-\frac{375 \,{\mathrm e}^{\left(\frac{\ln \left(3\right)}{5}+1\right) x} \left(\frac{\ln \left(3\right)}{5}+1\right) x}{5+\ln \left(3\right)}+\frac{375 \,{\mathrm e}^{\left(\frac{\ln \left(3\right)}{5}+1\right) x}}{5+\ln \left(3\right)}-\frac{75 \,{\mathrm e}^{\left(\frac{\ln \left(3\right)}{5}+1\right) x} \ln \left(3\right) \left(\frac{\ln \left(3\right)}{5}+1\right) x}{5+\ln \left(3\right)}+\frac{75 \ln \left(3\right) {\mathrm e}^{\left(\frac{\ln \left(3\right)}{5}+1\right) x}}{5+\ln \left(3\right)}-155 \,{\mathrm e}^{\left(\frac{\ln \left(3\right)}{5}+1\right) x}}{5+\ln \left(3\right)}$&$119$\\ default&$\frac{-16 \,{\mathrm e}^{\left(\frac{\ln \left(3\right)}{5}+1\right) x} \ln \left(3\right)-\frac{375 \,{\mathrm e}^{\left(\frac{\ln \left(3\right)}{5}+1\right) x} \left(\frac{\ln \left(3\right)}{5}+1\right) x}{5+\ln \left(3\right)}+\frac{375 \,{\mathrm e}^{\left(\frac{\ln \left(3\right)}{5}+1\right) x}}{5+\ln \left(3\right)}-\frac{75 \,{\mathrm e}^{\left(\frac{\ln \left(3\right)}{5}+1\right) x} \ln \left(3\right) \left(\frac{\ln \left(3\right)}{5}+1\right) x}{5+\ln \left(3\right)}+\frac{75 \ln \left(3\right) {\mathrm e}^{\left(\frac{\ln \left(3\right)}{5}+1\right) x}}{5+\ln \left(3\right)}-155 \,{\mathrm e}^{\left(\frac{\ln \left(3\right)}{5}+1\right) x}}{5+\ln \left(3\right)}$&$119$\\ \hline \end{longtable}"," ",0,"1/5*(-75*x-80)*3^(1/5*x)*exp(x)","A"
9640,1,20,16,0.064000," ","int((-10*ln(x)-20*x-10)*ln(4*ln(2))/(3*x^2*ln(x)^2+6*x^3*ln(x)+3*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\frac{20 \ln \left(2\right)}{3}+\frac{10 \ln \left(\ln \left(2\right)\right)}{3}}{\left(x +\ln \left(x \right)\right) x}$&$20$\\ norman&$\frac{\frac{20 \ln \left(2\right)}{3}+\frac{10 \ln \left(\ln \left(2\right)\right)}{3}}{\left(x +\ln \left(x \right)\right) x}$&$21$\\ \hline \end{longtable}"," ",0,"10/3*(2*ln(2)+ln(ln(2)))/(x+ln(x))/x","A"
9641,1,147,26,0.341000," ","int((((100*x^6+1550*x^5+9750*x^4+31500*x^3+54000*x^2+44550*x+12150)*exp(x)^2+50*x^5+750*x^4+4500*x^3+13600*x^2+19950*x+12150)*exp(((x^5+12*x^4+54*x^3+108*x^2+81*x)*exp(x)^2+x^5+12*x^4+54*x^3+107*x^2+81*x)/(x^4+12*x^3+54*x^2+108*x+81))^2+((20*x^7+910*x^6+11250*x^5+64800*x^4+199800*x^3+332910*x^2+269730*x+72900)*exp(x)^2+10*x^6+460*x^5+5550*x^4+30620*x^3+88290*x^2+126180*x+75330)*exp(((x^5+12*x^4+54*x^3+108*x^2+81*x)*exp(x)^2+x^5+12*x^4+54*x^3+107*x^2+81*x)/(x^4+12*x^3+54*x^2+108*x+81))+2*x^6+90*x^5+1080*x^4+5940*x^3+17010*x^2+24786*x+14580)/(25*x^5+375*x^4+2250*x^3+6750*x^2+10125*x+6075),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{25}+\frac{12 x}{5}+{\mathrm e}^{\frac{2 x \left({\mathrm e}^{2 x} x^{4}+12 \,{\mathrm e}^{2 x} x^{3}+x^{4}+54 \,{\mathrm e}^{2 x} x^{2}+12 x^{3}+108 x \,{\mathrm e}^{2 x}+54 x^{2}+81 \,{\mathrm e}^{2 x}+107 x +81\right)}{\left(3+x \right)^{4}}}+\left(12+\frac{2 x}{5}\right) {\mathrm e}^{\frac{x \left({\mathrm e}^{2 x} x^{4}+12 \,{\mathrm e}^{2 x} x^{3}+x^{4}+54 \,{\mathrm e}^{2 x} x^{2}+12 x^{3}+108 x \,{\mathrm e}^{2 x}+54 x^{2}+81 \,{\mathrm e}^{2 x}+107 x +81\right)}{\left(3+x \right)^{4}}}$&$147$\\ \hline \end{longtable}"," ",0,"1/25*x^2+12/5*x+exp(2*x*(exp(2*x)*x^4+12*exp(2*x)*x^3+x^4+54*exp(2*x)*x^2+12*x^3+108*x*exp(2*x)+54*x^2+81*exp(2*x)+107*x+81)/(3+x)^4)+(12+2/5*x)*exp(x*(exp(2*x)*x^4+12*exp(2*x)*x^3+x^4+54*exp(2*x)*x^2+12*x^3+108*x*exp(2*x)+54*x^2+81*exp(2*x)+107*x+81)/(3+x)^4)","B"
9642,1,21,24,0.055000," ","int((-225*x^4+270*x^2)/((50*x^4-40*x^2+8)*exp(1)-200*x^4+160*x^2-32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{45 x^{3}}{2 \left({\mathrm e}-4\right) \left(5 x^{2}-2\right)}$&$21$\\ default&$\frac{-9 x -\frac{18 x}{5 \left(x^{2}-\frac{2}{5}\right)}}{2 \,{\mathrm e}-8}$&$25$\\ gosper&$-\frac{45 x^{3}}{2 \left(5 x^{2} {\mathrm e}-20 x^{2}-2 \,{\mathrm e}+8\right)}$&$26$\\ risch&$-\frac{9 x}{2 \,{\mathrm e}-8}+\frac{\left(-\frac{18 \,{\mathrm e}}{5}+\frac{72}{5}\right) x}{\left(2 \,{\mathrm e}-8\right) \left(x^{2} {\mathrm e}-4 x^{2}-\frac{2 \,{\mathrm e}}{5}+\frac{8}{5}\right)}$&$48$\\ \hline \end{longtable}"," ",0,"-45/2/(exp(1)-4)*x^3/(5*x^2-2)","A"
9643,1,21,23,0.046000," ","int(((1-2*x)*exp(7)*ln(x)^2+(3*x^2+5)*ln(x)-x^2-5)/exp(7)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \left(x -1\right)+\frac{\left(x^{2}+5\right) x \,{\mathrm e}^{-7}}{\ln \left(x \right)}$&$21$\\ default&${\mathrm e}^{-7} \left(-x^{2} {\mathrm e}^{7}+x \,{\mathrm e}^{7}+\frac{x^{3}}{\ln \left(x \right)}+\frac{5 x}{\ln \left(x \right)}\right)$&$33$\\ norman&$\frac{x \ln \left(x \right)+{\mathrm e}^{-7} x^{3}-x^{2} \ln \left(x \right)+5 \,{\mathrm e}^{-7} x}{\ln \left(x \right)}$&$33$\\ \hline \end{longtable}"," ",0,"-x*(x-1)+(x^2+5)/ln(x)*x*exp(-7)","A"
9644,1,30,22,0.028000," ","int(((-16*x+8)*ln(x)*ln(ln(x))+(-512*x^3+432*x^2-32*x)*ln(x)-8*x+8)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-8 x^{2}+8 x \right) \ln \left(\ln \left(x \right)\right)-128 x^{4}+144 x^{3}-16 x^{2}$&$30$\\ \hline \end{longtable}"," ",0,"(-8*x^2+8*x)*ln(ln(x))-128*x^4+144*x^3-16*x^2","A"
9645,1,7,10,0.035000," ","int((x*ln(5)*exp(x*ln(5))+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5^{x}+\ln \left(x \right)$&$7$\\ norman&${\mathrm e}^{x \ln \left(5\right)}+\ln \left(x \right)$&$9$\\ derivativedivides&$\ln \left(x \ln \left(5\right)\right)+{\mathrm e}^{x \ln \left(5\right)}$&$12$\\ default&$\ln \left(x \ln \left(5\right)\right)+{\mathrm e}^{x \ln \left(5\right)}$&$12$\\ \hline \end{longtable}"," ",0,"5^x+ln(x)","A"
9646,1,17,17,0.037000," ","int(1/81*(-2*exp(5)^2+(-60*x+20)*exp(5)+300*x-50)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left({\mathrm e}^{5}-5\right) \left({\mathrm e}^{5}+60 x -5\right)}{81 x^{2}}$&$17$\\ risch&$\frac{\left(60 \,{\mathrm e}^{5}-300\right) x +{\mathrm e}^{10}-10 \,{\mathrm e}^{5}+25}{81 x^{2}}$&$22$\\ norman&$\frac{\left(\frac{20 \,{\mathrm e}^{5}}{27}-\frac{100}{27}\right) x +\frac{{\mathrm e}^{10}}{81}-\frac{10 \,{\mathrm e}^{5}}{81}+\frac{25}{81}}{x^{2}}$&$25$\\ default&$\frac{\left(-10+2 \,{\mathrm e}^{5}\right) \left(-\frac{5-{\mathrm e}^{5}}{2 x^{2}}+\frac{30}{x}\right)}{81}$&$26$\\ \hline \end{longtable}"," ",0,"1/81*(exp(5)-5)*(exp(5)+60*x-5)/x^2","A"
9647,1,26,17,0.082000," ","int((((-16-4*x)*exp(5)-8*x)*exp(((4*x+8)*exp(5)+5*x^2+8*x)/x^2)+x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{4 x \,{\mathrm e}^{5}+5 x^{2}+8 \,{\mathrm e}^{5}+8 x}{x^{2}}}$&$26$\\ norman&$\frac{x^{3}+x^{2} {\mathrm e}^{\frac{\left(4 x +8\right) {\mathrm e}^{5}+5 x^{2}+8 x}{x^{2}}}}{x^{2}}$&$35$\\ derivativedivides&$x -i \sqrt{\pi}\, {\mathrm e}^{5-\frac{\left(4 \,{\mathrm e}^{5}+8\right)^{2} {\mathrm e}^{-5}}{32}} \sqrt{2}\, {\mathrm e}^{-\frac{5}{2}} \erf \left(\frac{2 i \sqrt{2}\, {\mathrm e}^{\frac{5}{2}}}{x}+\frac{i \left(4 \,{\mathrm e}^{5}+8\right) \sqrt{2}\, {\mathrm e}^{-\frac{5}{2}}}{8}\right)-\frac{i \sqrt{\pi}\, {\mathrm e}^{10-\frac{\left(4 \,{\mathrm e}^{5}+8\right)^{2} {\mathrm e}^{-5}}{32}} \sqrt{2}\, {\mathrm e}^{-\frac{5}{2}} \erf \left(\frac{2 i \sqrt{2}\, {\mathrm e}^{\frac{5}{2}}}{x}+\frac{i \left(4 \,{\mathrm e}^{5}+8\right) \sqrt{2}\, {\mathrm e}^{-\frac{5}{2}}}{8}\right)}{2}+{\mathrm e}^{-5} {\mathrm e}^{10+\frac{8 \,{\mathrm e}^{5}}{x^{2}}+\frac{4 \,{\mathrm e}^{5}+8}{x}}+\frac{i \left(4 \,{\mathrm e}^{5}+8\right) {\mathrm e}^{-\frac{15}{2}} \sqrt{\pi}\, {\mathrm e}^{10-\frac{\left(4 \,{\mathrm e}^{5}+8\right)^{2} {\mathrm e}^{-5}}{32}} \sqrt{2}\, \erf \left(\frac{2 i \sqrt{2}\, {\mathrm e}^{\frac{5}{2}}}{x}+\frac{i \left(4 \,{\mathrm e}^{5}+8\right) \sqrt{2}\, {\mathrm e}^{-\frac{5}{2}}}{8}\right)}{8}$&$217$\\ default&$x -i \sqrt{\pi}\, {\mathrm e}^{5-\frac{\left(4 \,{\mathrm e}^{5}+8\right)^{2} {\mathrm e}^{-5}}{32}} \sqrt{2}\, {\mathrm e}^{-\frac{5}{2}} \erf \left(\frac{2 i \sqrt{2}\, {\mathrm e}^{\frac{5}{2}}}{x}+\frac{i \left(4 \,{\mathrm e}^{5}+8\right) \sqrt{2}\, {\mathrm e}^{-\frac{5}{2}}}{8}\right)-\frac{i \sqrt{\pi}\, {\mathrm e}^{10-\frac{\left(4 \,{\mathrm e}^{5}+8\right)^{2} {\mathrm e}^{-5}}{32}} \sqrt{2}\, {\mathrm e}^{-\frac{5}{2}} \erf \left(\frac{2 i \sqrt{2}\, {\mathrm e}^{\frac{5}{2}}}{x}+\frac{i \left(4 \,{\mathrm e}^{5}+8\right) \sqrt{2}\, {\mathrm e}^{-\frac{5}{2}}}{8}\right)}{2}+{\mathrm e}^{-5} {\mathrm e}^{10+\frac{8 \,{\mathrm e}^{5}}{x^{2}}+\frac{4 \,{\mathrm e}^{5}+8}{x}}+\frac{i \left(4 \,{\mathrm e}^{5}+8\right) {\mathrm e}^{-\frac{15}{2}} \sqrt{\pi}\, {\mathrm e}^{10-\frac{\left(4 \,{\mathrm e}^{5}+8\right)^{2} {\mathrm e}^{-5}}{32}} \sqrt{2}\, \erf \left(\frac{2 i \sqrt{2}\, {\mathrm e}^{\frac{5}{2}}}{x}+\frac{i \left(4 \,{\mathrm e}^{5}+8\right) \sqrt{2}\, {\mathrm e}^{-\frac{5}{2}}}{8}\right)}{8}$&$217$\\ \hline \end{longtable}"," ",0,"x+exp((4*x*exp(5)+5*x^2+8*exp(5)+8*x)/x^2)","A"
9648,1,262,31,0.104000," ","int(((2*ln(x)^3+(-12*x^2-60)*ln(x)^2+(24*x^4+240*x^2+600)*ln(x)-16*x^6-240*x^4-1200*x^2-2000)*exp(x/ln(2*ln(2)))^2+((-4*x*ln(x)^2+(8*x^3+82*x)*ln(x)-84*x^3-420*x)*ln(2*ln(2))+4*ln(x)^3+(-26*x^2-120)*ln(x)^2+(56*x^4+520*x^2+1200)*ln(x)-40*x^6-560*x^4-2600*x^2-4000)*exp(x/ln(2*ln(2)))+(-8*x*ln(x)^2+(20*x^3+164*x)*ln(x)-210*x^3-840*x)*ln(2*ln(2)))/(ln(x)^3+(-6*x^2-30)*ln(x)^2+(12*x^4+120*x^2+300)*ln(x)-8*x^6-120*x^4-600*x^2-1000)/ln(2*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{2 x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}} \ln \left(2\right)}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}+\frac{{\mathrm e}^{\frac{2 x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}} \ln \left(\ln \left(2\right)\right)}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}+\frac{4 \ln \left(2\right) {\mathrm e}^{\frac{x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}}}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}+\frac{4 \ln \left(\ln \left(2\right)\right) {\mathrm e}^{\frac{x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}}}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}+\frac{\left(4 \ln \left(2\right) x^{2} {\mathrm e}^{\frac{x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}}+4 \ln \left(\ln \left(2\right)\right) x^{2} {\mathrm e}^{\frac{x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}}+9 x^{2} \ln \left(2\right)-2 \ln \left(2\right) {\mathrm e}^{\frac{x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}} \ln \left(x \right)+9 x^{2} \ln \left(\ln \left(2\right)\right)-2 \ln \left(\ln \left(2\right)\right) {\mathrm e}^{\frac{x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}} \ln \left(x \right)+20 \ln \left(2\right) {\mathrm e}^{\frac{x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}}-4 \ln \left(2\right) \ln \left(x \right)+20 \ln \left(\ln \left(2\right)\right) {\mathrm e}^{\frac{x}{\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)}}-4 \ln \left(x \right) \ln \left(\ln \left(2\right)\right)+40 \ln \left(2\right)+40 \ln \left(\ln \left(2\right)\right)\right) x^{2}}{\left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right) \left(2 x^{2}+10-\ln \left(x \right)\right)^{2}}$&$262$\\ \hline \end{longtable}"," ",0,"1/(ln(2)+ln(ln(2)))*exp(2*x/(ln(2)+ln(ln(2))))*ln(2)+1/(ln(2)+ln(ln(2)))*exp(2*x/(ln(2)+ln(ln(2))))*ln(ln(2))+4/(ln(2)+ln(ln(2)))*ln(2)*exp(x/(ln(2)+ln(ln(2))))+4/(ln(2)+ln(ln(2)))*ln(ln(2))*exp(x/(ln(2)+ln(ln(2))))+1/(ln(2)+ln(ln(2)))*(4*ln(2)*x^2*exp(x/(ln(2)+ln(ln(2))))+4*ln(ln(2))*x^2*exp(x/(ln(2)+ln(ln(2))))+9*x^2*ln(2)-2*ln(2)*exp(x/(ln(2)+ln(ln(2))))*ln(x)+9*x^2*ln(ln(2))-2*ln(ln(2))*exp(x/(ln(2)+ln(ln(2))))*ln(x)+20*ln(2)*exp(x/(ln(2)+ln(ln(2))))-4*ln(2)*ln(x)+20*ln(ln(2))*exp(x/(ln(2)+ln(ln(2))))-4*ln(x)*ln(ln(2))+40*ln(2)+40*ln(ln(2)))*x^2/(2*x^2+10-ln(x))^2","B"
9649,1,537,22,0.260000," ","int((4*x*ln(x^2)*ln(x*exp(4/5))+(x^2+x-2)*ln(x^2)^2+(4*x^2+8)*ln(x^2)+x^2)*exp((x*ln(x^2)^2*ln(x*exp(4/5))+(x^2+2)*ln(x^2)^2+x^2)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{-\frac{3 \pi^{2}}{2}} x^{2 \pi^{2} \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)} x^{-\frac{\pi^{2}}{2}} x^{-\frac{16 i \pi  \,\mathrm{csgn}\left(i x^{2}\right)}{5}} x^{\frac{8 i \pi  \,\mathrm{csgn}\left(i x \right)}{x}} x^{-\frac{8 i \pi  \,\mathrm{csgn}\left(i x^{2}\right)}{x}} x^{4 i x \pi  \,\mathrm{csgn}\left(i x \right)} x^{-4 i x \pi  \,\mathrm{csgn}\left(i x^{2}\right)} x^{\frac{16 i \pi  \,\mathrm{csgn}\left(i x \right)}{5}} {\mathrm e}^{\frac{-5 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6} x^{2}+20 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{5} \mathrm{csgn}\left(i x \right) x^{2}-30 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x \right)^{2} x^{2}+20 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)^{3} x^{2}-5 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{4} x^{2}-4 x \,\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}+16 x \,\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{5} \mathrm{csgn}\left(i x \right)-24 x \,\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}+16 x \,\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)^{3}-4 x \,\pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{4}-10 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}+40 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{5} \mathrm{csgn}\left(i x \right)-60 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}+40 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)^{3}-10 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{4}-40 i x \ln \left(x \right)^{2} \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}-40 i x \ln \left(x \right)^{2} \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+80 i x \ln \left(x \right)^{2} \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+80 x \ln \left(x \right)^{3}+80 x^{2} \ln \left(x \right)^{2}+64 x \ln \left(x \right)^{2}+160 \ln \left(x \right)^{2}+20 x^{2}}{20 x}}$&$537$\\ \hline \end{longtable}"," ",0,"x^(-3/2*Pi^2)*(x^(Pi^2*csgn(I*x^2)*csgn(I*x)))^2*(x^(-1/4*Pi^2))^2*(x^(-8/5*I*Pi*csgn(I*x^2)))^2*x^(8*I/x*Pi*csgn(I*x))*(x^(-4*I/x*Pi*csgn(I*x^2)))^2*x^(4*I*x*Pi*csgn(I*x))*(x^(-2*I*x*Pi*csgn(I*x^2)))^2*x^(16/5*I*Pi*csgn(I*x))*exp(1/20*(-5*Pi^2*csgn(I*x^2)^6*x^2+20*Pi^2*csgn(I*x^2)^5*csgn(I*x)*x^2-30*Pi^2*csgn(I*x^2)^4*csgn(I*x)^2*x^2+20*Pi^2*csgn(I*x^2)^3*csgn(I*x)^3*x^2-5*Pi^2*csgn(I*x^2)^2*csgn(I*x)^4*x^2-4*x*Pi^2*csgn(I*x^2)^6+16*x*Pi^2*csgn(I*x^2)^5*csgn(I*x)-24*x*Pi^2*csgn(I*x^2)^4*csgn(I*x)^2+16*x*Pi^2*csgn(I*x^2)^3*csgn(I*x)^3-4*x*Pi^2*csgn(I*x^2)^2*csgn(I*x)^4-10*Pi^2*csgn(I*x^2)^6+40*Pi^2*csgn(I*x^2)^5*csgn(I*x)-60*Pi^2*csgn(I*x^2)^4*csgn(I*x)^2+40*Pi^2*csgn(I*x^2)^3*csgn(I*x)^3-10*Pi^2*csgn(I*x^2)^2*csgn(I*x)^4-40*I*x*ln(x)^2*Pi*csgn(I*x^2)*csgn(I*x)^2-40*I*x*ln(x)^2*Pi*csgn(I*x^2)^3+80*I*x*ln(x)^2*Pi*csgn(I*x^2)^2*csgn(I*x)+80*x*ln(x)^3+80*x^2*ln(x)^2+64*x*ln(x)^2+160*ln(x)^2+20*x^2)/x)","C"
9650,1,24,24,0.122000," ","int(((10*x^3-4*x)*exp(exp(x))+((5*x^3-2*x)*exp(x)*ln(-5*x^2+2)^2-20*x^2*ln(-5*x^2+2))*ln(x)+(-5*x^2+2)*ln(-5*x^2+2)^2)/(5*x^3-2*x)/exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\ln \left(x \right) \ln \left(-5 x^{2}+2\right)^{2} {\mathrm e}^{-{\mathrm e}^{x}}$&$24$\\ \hline \end{longtable}"," ",0,"2*x-ln(x)*ln(-5*x^2+2)^2*exp(-exp(x))","A"
9651,1,94,28,0.141000," ","int(((2*x*ln(x)+2*x^2)*ln(5/(x+ln(x)))^2+((-8*x^3-6*x^2-100)*ln(x)-8*x^4-6*x^3-2*x^2-102*x)*ln(5/(x+ln(x)))+(6*x^5+10*x^4+4*x^3+300*x^2+200*x)*ln(x)+6*x^6+10*x^5+6*x^4+304*x^3+202*x^2+100*x+100)/(625*ln(x)+625*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{6}}{625}+\frac{2 x^{5}}{625}+\frac{x^{4}}{625}+\frac{4 x^{3}}{25}+\frac{4 x^{2}}{25}-\frac{4 x \ln \left(5\right)}{25}+\frac{x^{2} \ln \left(5\right)^{2}}{625}-\frac{2 x^{3} \ln \left(5\right)}{625}-\frac{2 x^{4} \ln \left(5\right)}{625}+\frac{x^{2} \ln \left(x +\ln \left(x \right)\right)^{2}}{625}+\left(\frac{2 x^{4}}{625}-\frac{2 x^{2} \ln \left(5\right)}{625}+\frac{2 x^{3}}{625}+\frac{4 x}{25}\right) \ln \left(x +\ln \left(x \right)\right)$&$94$\\ \hline \end{longtable}"," ",0,"1/625*x^6+2/625*x^5+1/625*x^4+4/25*x^3+4/25*x^2-4/25*x*ln(5)+1/625*x^2*ln(5)^2-2/625*x^3*ln(5)-2/625*x^4*ln(5)+1/625*x^2*ln(x+ln(x))^2+(2/625*x^4-2/625*x^2*ln(5)+2/625*x^3+4/25*x)*ln(x+ln(x))","B"
9652,1,18,20,0.026000," ","int(1/3*((9*x^2+9)*exp(x^2)+16*x*ln(2))/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{3}+3 x -\frac{8 \ln \left(2\right) {\mathrm e}^{-x^{2}}}{3}$&$18$\\ risch&$x^{3}+3 x -\frac{8 \ln \left(2\right) {\mathrm e}^{-x^{2}}}{3}$&$18$\\ norman&$\left(x^{3} {\mathrm e}^{x^{2}}+3 \,{\mathrm e}^{x^{2}} x -\frac{8 \ln \left(2\right)}{3}\right) {\mathrm e}^{-x^{2}}$&$28$\\ \hline \end{longtable}"," ",0,"x^3+3*x-8/3*ln(2)/exp(x^2)","A"
9653,1,21,24,0.028000," ","int(1/5*(exp(x)*x^3-2*exp(5)+x^3-2*x+2)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{5}+\frac{2 x +{\mathrm e}^{5}-1}{5 x^{2}}+\frac{{\mathrm e}^{x}}{5}$&$21$\\ default&$\frac{x}{5}-\frac{1}{5 x^{2}}+\frac{2}{5 x}+\frac{{\mathrm e}^{5}}{5 x^{2}}+\frac{{\mathrm e}^{x}}{5}$&$26$\\ norman&$\frac{\frac{2 x}{5}+\frac{x^{3}}{5}+\frac{{\mathrm e}^{x} x^{2}}{5}+\frac{{\mathrm e}^{5}}{5}-\frac{1}{5}}{x^{2}}$&$26$\\ \hline \end{longtable}"," ",0,"1/5*x+1/5*(2*x+exp(5)-1)/x^2+1/5*exp(x)","A"
9654,1,79,34,0.135000," ","int((((4*exp(x)^2*x^3+(-8*x^4-6*x^3-30*x^2)*exp(x)+4*x^5+36*x^3+36*x)*exp((5*exp(x)*x-5*x^2-12)/(exp(x)*x-x^2-3))+2*exp(x)^2*x^2+(-4*x^3-12*x)*exp(x)+2*x^4+12*x^2+18)*exp(x^2*exp((5*exp(x)*x-5*x^2-12)/(exp(x)*x-x^2-3))+x)^2+((-4*x^5*exp(x)^2+(8*x^6+6*x^5+30*x^4)*exp(x)-4*x^7-36*x^5-36*x^3)*exp((5*exp(x)*x-5*x^2-12)/(exp(x)*x-x^2-3))+(-2*x^4-4*x^3)*exp(x)^2+(4*x^5+8*x^4+12*x^3+24*x^2)*exp(x)-2*x^6-4*x^5-12*x^4-24*x^3-18*x^2-36*x)*exp(x^2*exp((5*exp(x)*x-5*x^2-12)/(exp(x)*x-x^2-3))+x)+4*x^5*exp(x)^2+(-8*x^6-24*x^4)*exp(x)+4*x^7+24*x^5+36*x^3)/(exp(x)^2*x^2+(-2*x^3-6*x)*exp(x)+x^4+6*x^2+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}-2 \,{\mathrm e}^{x \left(x \,{\mathrm e}^{\frac{5 \,{\mathrm e}^{x} x -5 x^{2}-12}{{\mathrm e}^{x} x -x^{2}-3}}+1\right)} x^{2}+{\mathrm e}^{2 x \left(x \,{\mathrm e}^{\frac{5 \,{\mathrm e}^{x} x -5 x^{2}-12}{{\mathrm e}^{x} x -x^{2}-3}}+1\right)}$&$79$\\ \hline \end{longtable}"," ",0,"x^4-2*exp(x*(x*exp((5*exp(x)*x-5*x^2-12)/(exp(x)*x-x^2-3))+1))*x^2+exp(2*x*(x*exp((5*exp(x)*x-5*x^2-12)/(exp(x)*x-x^2-3))+1))","B"
9655,1,11,12,0.080000," ","int((-10*x+59)/(x-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-10 x -\ln \left(x -6\right)$&$11$\\ norman&$-10 x -\ln \left(x -6\right)$&$11$\\ risch&$-10 x -\ln \left(x -6\right)$&$11$\\ meijerg&$-\ln \left(1-\frac{x}{6}\right)-10 x$&$13$\\ \hline \end{longtable}"," ",0,"-10*x-ln(x-6)","A"
9656,1,39,13,0.044000," ","int(((-8*x+4)*ln(x^2)+(-8*x+4)*exp(3)+32*x^2-8)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x^{2}\right)^{2}+\left(16-8 \,{\mathrm e}^{3}\right) x +\left(2 \,{\mathrm e}^{3}-4\right) \ln \left(x^{2}\right)+16 x^{2}-8 x \ln \left(x^{2}\right)$&$39$\\ default&$16 x^{2}-8 x \,{\mathrm e}^{3}+4 \ln \left(x \right) {\mathrm e}^{3}-8 \ln \left(x \right)-8 x \ln \left(x^{2}\right)+16 x +4 \ln \left(x \right) \ln \left(x^{2}\right)-4 \ln \left(x \right)^{2}$&$46$\\ risch&$16 x^{2}-8 x \,{\mathrm e}^{3}+4 \ln \left(x \right) {\mathrm e}^{3}-8 \ln \left(x \right)-8 x \ln \left(x^{2}\right)+16 x +4 \ln \left(x \right) \ln \left(x^{2}\right)-4 \ln \left(x \right)^{2}$&$46$\\ \hline \end{longtable}"," ",0,"ln(x^2)^2+(16-8*exp(3))*x+(2*exp(3)-4)*ln(x^2)+16*x^2-8*x*ln(x^2)","B"
9657,1,19,21,0.103000," ","int(((2*exp(2)*x+6*x)*ln(15)^2+15)/(2*x^2*exp(2)+6*x^2)/ln(15)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{15}{2 \ln \left(15\right)^{2} \left({\mathrm e}^{2}+3\right) x}+\ln \left(x \right)$&$19$\\ default&$\frac{2 \ln \left(15\right)^{2} \left({\mathrm e}^{2}+3\right) \ln \left(x \right)-\frac{15}{x}}{2 \ln \left(15\right)^{2} \left({\mathrm e}^{2}+3\right)}$&$31$\\ risch&$-\frac{15}{2 \left(\ln \left(3\right)+\ln \left(5\right)\right)^{2} x \left({\mathrm e}^{2}+3\right)}+\frac{\ln \left(x \right) \ln \left(5\right)^{2}}{\left(\ln \left(3\right)+\ln \left(5\right)\right)^{2}}+\frac{2 \ln \left(x \right) \ln \left(5\right) \ln \left(3\right)}{\left(\ln \left(3\right)+\ln \left(5\right)\right)^{2}}+\frac{\ln \left(x \right) \ln \left(3\right)^{2}}{\left(\ln \left(3\right)+\ln \left(5\right)\right)^{2}}$&$63$\\ \hline \end{longtable}"," ",0,"-15/2/ln(15)^2/(exp(2)+3)/x+ln(x)","A"
9658,1,30,16,0.043000," ","int((72*x*exp(x)^2*ln(5*x)^2+(1728*x+72)*exp(x)^2*ln(5*x)+(10368*x+864)*exp(x)^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$5184 \,{\mathrm e}^{2 x}+864 \,{\mathrm e}^{2 x} \ln \left(5 x \right)+36 \,{\mathrm e}^{2 x} \ln \left(5 x \right)^{2}$&$30$\\ risch&$5184 \,{\mathrm e}^{2 x}+864 \,{\mathrm e}^{2 x} \ln \left(5 x \right)+36 \,{\mathrm e}^{2 x} \ln \left(5 x \right)^{2}$&$30$\\ \hline \end{longtable}"," ",0,"5184*exp(x)^2+864*exp(x)^2*ln(5*x)+36*exp(x)^2*ln(5*x)^2","A"
9659,1,96,32,0.086000," ","int((((3*x^2+2*x)*ln(x)^4+(12*x+8)*ln(x)^3-15*x^2-10*x)*ln(3*x+2)^3+((-9*x^3-6*x^2)*ln(x)^4+(-36*x^2-24*x)*ln(x)^3+(-36*x^2-24*x)*ln(x)^2+(-72*x-48)*ln(x)+45*x^3+30*x^2)*ln(3*x+2)^2+((9*x^4+6*x^3)*ln(x)^4+(36*x^3+24*x^2)*ln(x)^3+(72*x^3+12*x^2+12*x)*ln(x)^2+(144*x^2+96*x)*ln(x)-45*x^4-30*x^3+108*x^2+72*x)*ln(3*x+2)+(-3*x^5-2*x^4)*ln(x)^4+(-12*x^4-8*x^3)*ln(x)^3+(-36*x^4+12*x^3-12*x^2)*ln(x)^2+(-72*x^3-48*x^2)*ln(x)+15*x^5+10*x^4-108*x^3+144*x^2-72*x)/(((3*x^2+2*x)*ln(x)^4-15*x^2-10*x)*ln(3*x+2)^3+((-9*x^3-6*x^2)*ln(x)^4+(-36*x^2-24*x)*ln(x)^2+45*x^3+30*x^2)*ln(3*x+2)^2+((9*x^4+6*x^3)*ln(x)^4+(72*x^3+48*x^2)*ln(x)^2-45*x^4-30*x^3+108*x^2+72*x)*ln(3*x+2)+(-3*x^5-2*x^4)*ln(x)^4+(-36*x^4-24*x^3)*ln(x)^2+15*x^5+10*x^4-108*x^3-72*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(\ln \left(x \right)^{4}-5\right)-2 \ln \left(-x +\ln \left(3 x +2\right)\right)+\ln \left(\ln \left(3 x +2\right)^{2}-\frac{2 \left(x \ln \left(x \right)^{4}+6 \ln \left(x \right)^{2}-5 x \right) \ln \left(3 x +2\right)}{\ln \left(x \right)^{4}-5}+\frac{x^{2} \ln \left(x \right)^{4}+12 x \ln \left(x \right)^{2}-5 x^{2}+36}{\ln \left(x \right)^{4}-5}\right)$&$96$\\ \hline \end{longtable}"," ",0,"x+ln(ln(x)^4-5)-2*ln(-x+ln(3*x+2))+ln(ln(3*x+2)^2-2*(x*ln(x)^4+6*ln(x)^2-5*x)/(ln(x)^4-5)*ln(3*x+2)+(x^2*ln(x)^4+12*x*ln(x)^2-5*x^2+36)/(ln(x)^4-5))","B"
9660,1,15,22,0.026000," ","int(1/3*(4*x^2*exp(3)^2*exp(x)^2-8)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{2 x +6}}{3}+\frac{8}{3 x}$&$15$\\ default&$\frac{2 \,{\mathrm e}^{6} {\mathrm e}^{2 x}}{3}+\frac{8}{3 x}$&$17$\\ norman&$\frac{\frac{8}{3}+\frac{2 x \,{\mathrm e}^{6} {\mathrm e}^{2 x}}{3}}{x}$&$18$\\ \hline \end{longtable}"," ",0,"2/3*exp(2*x+6)+8/3/x","A"
9661,1,22,21,0.046000," ","int((((x^3-2*x^2+1)*ln(-4*x^2+4*x+4)-2*x^3+3*x^2-x)*ln(x-1)+(-x^3+x^2+x)*ln(-4*x^2+4*x+4))/(x^3-2*x^2+1)/ln(-4*x^2+4*x+4)^2/ln(x-1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{\ln \left(x -1\right) \ln \left(-4 x^{2}+4 x +4\right)}$&$22$\\ \hline \end{longtable}"," ",0,"1/ln(x-1)*x/ln(-4*x^2+4*x+4)","A"
9662,1,45,15,0.045000," ","int(1/10240000*(6561*x^8+13122*x^7)*exp(2)^4*exp(x)^4+1/10240000*(-349920*x^6-699840*x^5)*exp(2)^3*exp(x)^3+1/10240000*(6220800*x^4+12441600*x^3)*exp(2)^2*exp(x)^2+1/10240000*(-36864000*x^2-73728000*x)*exp(2)*exp(x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{18 x^{2} {\mathrm e}^{2+x}}{5}+\frac{243 x^{4} {\mathrm e}^{2 x +4}}{800}-\frac{729 x^{6} {\mathrm e}^{6+3 x}}{64000}+\frac{6561 x^{8} {\mathrm e}^{4 x +8}}{40960000}$&$45$\\ default&$x -\frac{18 x^{2} {\mathrm e}^{2} {\mathrm e}^{x}}{5}+\frac{243 \,{\mathrm e}^{4} {\mathrm e}^{2 x} x^{4}}{800}-\frac{729 \,{\mathrm e}^{6} {\mathrm e}^{3 x} x^{6}}{64000}+\frac{6561 \,{\mathrm e}^{8} {\mathrm e}^{4 x} x^{8}}{40960000}$&$51$\\ \hline \end{longtable}"," ",0,"x-18/5*x^2*exp(2+x)+243/800*x^4*exp(2*x+4)-729/64000*x^6*exp(6+3*x)+6561/40960000*x^8*exp(4*x+8)","B"
9663,1,14,15,0.019000," ","int((-24*x^2+4)/(8*x^3-4*x-81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(8 x^{3}-4 x -81\right)$&$14$\\ norman&$-\ln \left(8 x^{3}-4 x -81\right)$&$14$\\ risch&$-\ln \left(8 x^{3}-4 x -81\right)$&$14$\\ \hline \end{longtable}"," ",0,"-ln(8*x^3-4*x-81)","A"
9664,1,39,31,0.048000," ","int(((-10*x^2*ln(x)^3+(360*x+1440)*ln(x)+90*x^2+720*x+1440)*exp((x^2*exp(4)*ln(x)^2+9*x^2+72*x+144)/x^2/ln(x)^2)+10*x^2*ln(x)^3)/(x^5*ln(x)^3*exp((x^2*exp(4)*ln(x)^2+9*x^2+72*x+144)/x^2/ln(x)^2)^2-2*x^5*ln(x)^3*exp((x^2*exp(4)*ln(x)^2+9*x^2+72*x+144)/x^2/ln(x)^2)+x^5*ln(x)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{x^{2} \left({\mathrm e}^{\frac{x^{2} {\mathrm e}^{4} \ln \left(x \right)^{2}+9 x^{2}+72 x +144}{x^{2} \ln \left(x \right)^{2}}}-1\right)}$&$39$\\ \hline \end{longtable}"," ",0,"5/x^2/(exp((x^2*exp(4)*ln(x)^2+9*x^2+72*x+144)/x^2/ln(x)^2)-1)","A"
9665,1,21,19,0.053000," ","int(((-4*x^2+8*x)*exp(1)+16*x^2-36*x+4)/(exp(1)-4)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(4 x^{2}+\frac{4 x}{{\mathrm e}-4}\right) {\mathrm e}^{-x}$&$21$\\ gosper&$\frac{4 x \left(x \,{\mathrm e}-4 x +1\right) {\mathrm e}^{-x}}{{\mathrm e}-4}$&$23$\\ risch&$\frac{\left(4 x^{2} {\mathrm e}-16 x^{2}+4 x \right) {\mathrm e}^{-x}}{{\mathrm e}-4}$&$28$\\ default&$\frac{4 x \,{\mathrm e}^{-x}-16 x^{2} {\mathrm e}^{-x}+8 \,{\mathrm e} \left(-x \,{\mathrm e}^{-x}-{\mathrm e}^{-x}\right)-4 \,{\mathrm e} \left(-x^{2} {\mathrm e}^{-x}-2 x \,{\mathrm e}^{-x}-2 \,{\mathrm e}^{-x}\right)}{{\mathrm e}-4}$&$70$\\ meijerg&$\frac{4-4 \,{\mathrm e}^{-x}}{{\mathrm e}-4}+\frac{\left(-4 \,{\mathrm e}+16\right) \left(2-\frac{\left(3 x^{2}+6 x +6\right) {\mathrm e}^{-x}}{3}\right)}{{\mathrm e}-4}+\frac{\left(8 \,{\mathrm e}-36\right) \left(1-\frac{\left(2 x +2\right) {\mathrm e}^{-x}}{2}\right)}{{\mathrm e}-4}$&$75$\\ \hline \end{longtable}"," ",0,"(4*x^2+4/(exp(1)-4)*x)/exp(x)","A"
9666,1,30,30,0.075000," ","int((((16*x^5-16*x^3)*exp(x^2)+(-2*x^4+4*x^3)*exp(x))*ln(ln(3))+(8*x^6-44*x^4+60*x^2)*exp(x^2)+(-x^5+x^4+5*x^3-15*x^2)*exp(x))/((320*x^2*exp(x^2)^2-160*x^2*exp(x)*exp(x^2)+20*exp(x)^2*x^2)*ln(ln(3))^2+((320*x^3-1600*x)*exp(x^2)^2+(-160*x^3+800*x)*exp(x)*exp(x^2)+(20*x^3-100*x)*exp(x)^2)*ln(ln(3))+(80*x^4-800*x^2+2000)*exp(x^2)^2+(-40*x^4+400*x^2-1000)*exp(x)*exp(x^2)+(5*x^4-50*x^2+125)*exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3}}{5 \left(2 \ln \left(\ln \left(3\right)\right) x +x^{2}-5\right) \left({\mathrm e}^{x}-4 \,{\mathrm e}^{x^{2}}\right)}$&$30$\\ \hline \end{longtable}"," ",0,"1/5*x^3/(2*ln(ln(3))*x+x^2-5)/(exp(x)-4*exp(x^2))","A"
9667,0,0,22,0.095000," ","int((27*x^3*exp(1/5*ln(5)+x)^3-108*x^2*exp(1/5*ln(5)+x)^2+(486*x^3+144*x)*exp(1/5*ln(5)+x)+648*x-64)*exp((9*x^3*exp(1/5*ln(5)+x)^2-24*x^2*exp(1/5*ln(5)+x)-81*x^2+16*x)/(9*x^2*exp(1/5*ln(5)+x)^2-24*x*exp(1/5*ln(5)+x)+16))/(27*x^3*exp(1/5*ln(5)+x)^3-108*x^2*exp(1/5*ln(5)+x)^2+144*x*exp(1/5*ln(5)+x)-64),x)","\[\int \frac{\left(27 x^{3} {\mathrm e}^{\frac{3 \ln \left(5\right)}{5}+3 x}-108 x^{2} {\mathrm e}^{\frac{2 \ln \left(5\right)}{5}+2 x}+\left(486 x^{3}+144 x \right) {\mathrm e}^{\frac{\ln \left(5\right)}{5}+x}+648 x -64\right) {\mathrm e}^{\frac{9 x^{3} {\mathrm e}^{\frac{2 \ln \left(5\right)}{5}+2 x}-24 x^{2} {\mathrm e}^{\frac{\ln \left(5\right)}{5}+x}-81 x^{2}+16 x}{9 x^{2} {\mathrm e}^{\frac{2 \ln \left(5\right)}{5}+2 x}-24 x \,{\mathrm e}^{\frac{\ln \left(5\right)}{5}+x}+16}}}{27 x^{3} {\mathrm e}^{\frac{3 \ln \left(5\right)}{5}+3 x}-108 x^{2} {\mathrm e}^{\frac{2 \ln \left(5\right)}{5}+2 x}+144 x \,{\mathrm e}^{\frac{\ln \left(5\right)}{5}+x}-64}\, dx\]"," ",0,"int((27*x^3*exp(1/5*ln(5)+x)^3-108*x^2*exp(1/5*ln(5)+x)^2+(486*x^3+144*x)*exp(1/5*ln(5)+x)+648*x-64)*exp((9*x^3*exp(1/5*ln(5)+x)^2-24*x^2*exp(1/5*ln(5)+x)-81*x^2+16*x)/(9*x^2*exp(1/5*ln(5)+x)^2-24*x*exp(1/5*ln(5)+x)+16))/(27*x^3*exp(1/5*ln(5)+x)^3-108*x^2*exp(1/5*ln(5)+x)^2+144*x*exp(1/5*ln(5)+x)-64),x)","F"
9668,1,22,26,0.039000," ","int((4*exp(2/x)*exp(exp(2/x))^2+(2*x^3+x^2)*exp(x^2+x)+2*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x -{\mathrm e}^{2 \,{\mathrm e}^{\frac{2}{x}}}+{\mathrm e}^{x^{2}+x}$&$22$\\ risch&$-{\mathrm e}^{2 \,{\mathrm e}^{\frac{2}{x}}}+2 x +{\mathrm e}^{\left(x +1\right) x}$&$22$\\ \hline \end{longtable}"," ",0,"2*x-exp(exp(1/x)^2)^2+exp(x^2+x)","A"
9669,1,22,23,0.329000," ","int(((3*exp(2)*x+15*x)*exp(3*x/(exp(2)+5+2*x))+(1-x)*exp(2)^2+(-4*x^2-6*x+10)*exp(2)-4*x^3-16*x^2-5*x+25)/(exp(2)^2+(4*x+10)*exp(2)+4*x^2+20*x+25)/exp(-exp(3*x/(exp(2)+5+2*x))+x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{{\mathrm e}^{\frac{3 x}{{\mathrm e}^{2}+5+2 x}}-x +5}$&$22$\\ norman&$\frac{\left(\left({\mathrm e}^{2}+5\right) x +2 x^{2}\right) {\mathrm e}^{{\mathrm e}^{\frac{3 x}{{\mathrm e}^{2}+5+2 x}}-x +5}}{{\mathrm e}^{2}+5+2 x}$&$44$\\ \hline \end{longtable}"," ",0,"x*exp(exp(3*x/(exp(2)+5+2*x))-x+5)","A"
9670,1,27,25,0.105000," ","int(1/4*(-exp(x)*exp(exp(x))-4)*exp(-1/4*exp(exp(x))-x+4)+1/4*(16*x-108)*exp(exp(1)-2*x^2+27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{{\mathrm e}-2 x^{2}+27 x}+{\mathrm e}^{-\frac{{\mathrm e}^{{\mathrm e}^{x}}}{4}-x +4}$&$27$\\ risch&$-{\mathrm e}^{{\mathrm e}-2 x^{2}+27 x}+{\mathrm e}^{-\frac{{\mathrm e}^{{\mathrm e}^{x}}}{4}-x +4}$&$27$\\ \hline \end{longtable}"," ",0,"-exp(exp(1)-2*x^2+27*x)+exp(-1/4*exp(exp(x))-x+4)","A"
9671,1,22,23,0.176000," ","int(((-x*exp(1)*ln(2)*ln(3)+exp(1)*ln(2))*ln(x)^2+(2*x*exp(1)*ln(2)*ln(3)-4*exp(1)*ln(2))*ln(x)+2*exp(1)*ln(2))/(exp(x*ln(3))*ln(x)^4-4*exp(x*ln(3))*ln(x)^3+4*exp(x*ln(3))*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e} 3^{-x} x \ln \left(2\right)}{\left(\ln \left(x \right)-2\right) \ln \left(x \right)}$&$22$\\ norman&$\frac{{\mathrm e} \,{\mathrm e}^{-x \ln \left(3\right)} x \ln \left(2\right)}{\left(\ln \left(x \right)-2\right) \ln \left(x \right)}$&$24$\\ \hline \end{longtable}"," ",0,"exp(1)/(3^x)/(ln(x)-2)*x/ln(x)*ln(2)","A"
9672,1,16,31,0.086000," ","int((6*x^3+148*x^2-53*x+75)/(3*x^2+75*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-\frac{2 x}{3}+\ln \left(x \right)-2 \ln \left(x +25\right)$&$16$\\ norman&$x^{2}-\frac{2 x}{3}+\ln \left(x \right)-2 \ln \left(x +25\right)$&$16$\\ risch&$x^{2}-\frac{2 x}{3}+\ln \left(x \right)-2 \ln \left(x +25\right)$&$16$\\ meijerg&$\ln \left(x \right)-2 \ln \left(5\right)-2 \ln \left(1+\frac{x}{25}\right)-\frac{25 x \left(-\frac{3 x}{25}+6\right)}{3}+\frac{148 x}{3}$&$27$\\ \hline \end{longtable}"," ",0,"x^2-2/3*x+ln(x)-2*ln(x+25)","A"
9673,1,19,17,0.021000," ","int(24*exp(x)^2+(12*x-48)*exp(x)+11,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$12 \,{\mathrm e}^{2 x}+\left(12 x -60\right) {\mathrm e}^{x}+11 x$&$19$\\ default&$11 x +12 \,{\mathrm e}^{x} x -60 \,{\mathrm e}^{x}+12 \,{\mathrm e}^{2 x}$&$20$\\ norman&$11 x +12 \,{\mathrm e}^{x} x -60 \,{\mathrm e}^{x}+12 \,{\mathrm e}^{2 x}$&$20$\\ \hline \end{longtable}"," ",0,"12*exp(2*x)+(12*x-60)*exp(x)+11*x","A"
9674,1,19,21,0.054000," ","int(((-432*x^2+62208)*ln(x)+2*x^6-1728*x^4+373392*x^2-62208)/(x^6-864*x^4+186624*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{144 \ln \left(x \right)}{x \left(x^{2}-432\right)}+2 x$&$19$\\ norman&$\frac{-864 x^{2}+2 x^{4}+144 \ln \left(x \right)}{x \left(x^{2}-432\right)}$&$27$\\ default&$2 x -\frac{\ln \left(x \right)}{3 x}-\frac{\sqrt{3}\, \ln \left(x \right) \ln \left(1-\frac{x \sqrt{3}}{36}\right)}{216}+\frac{\sqrt{3}\, \ln \left(x \right) \ln \left(1+\frac{x \sqrt{3}}{36}\right)}{216}+\frac{\ln \left(x \right) \left(\ln \left(1-\frac{x \sqrt{3}}{36}\right) \sqrt{3}\, x^{2}-\ln \left(1+\frac{x \sqrt{3}}{36}\right) \sqrt{3}\, x^{2}-432 \sqrt{3}\, \ln \left(1-\frac{x \sqrt{3}}{36}\right)+432 \sqrt{3}\, \ln \left(1+\frac{x \sqrt{3}}{36}\right)+72 x \right)}{216 x^{2}-93312}$&$120$\\ \hline \end{longtable}"," ",0,"144/x/(x^2-432)*ln(x)+2*x","A"
9675,1,19,20,0.135000," ","int(1/36*((36*exp(x)*x-x)*exp(-exp(x)+1/36*x-3)-36)*exp(exp(-exp(x)+1/36*x-3)+1)*exp(x*exp(exp(-exp(x)+1/36*x-3)+1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x \,{\mathrm e}^{{\mathrm e}^{-{\mathrm e}^{x}+\frac{x}{36}-3}+1}}$&$19$\\ \hline \end{longtable}"," ",0,"-exp(x*exp(exp(-exp(x)+1/36*x-3)+1))","A"
9676,1,28,27,0.040000," ","int(1/3*((2*(2*x^4-6*x^3)*ln(2)+96*x^2)*ln(x)+2*(4*x^3-9*x^2)*ln(2)+96*x)*exp(x*ln(x))^2/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{2} \left(x^{2} \ln \left(2\right)-3 x \ln \left(2\right)+24\right) {\mathrm e}^{-2 x} x^{2 x}}{3}$&$28$\\ \hline \end{longtable}"," ",0,"2/3*x^2*(x^2*ln(2)-3*x*ln(2)+24)*exp(-2*x)*(x^x)^2","A"
9677,1,20,20,0.076000," ","int(((4*x^3*exp(1)+4*x^4+8*x^3)*exp(2)*ln((2+x+exp(1))*exp(3))+x^4*exp(2)+4*x^3*exp(1)+4*x^4+8*x^3)/(2+x+exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{4}+x^{4} {\mathrm e}^{2} \ln \left(\left(2+x +{\mathrm e}\right) {\mathrm e}^{3}\right)$&$20$\\ risch&$x^{4}+x^{4} {\mathrm e}^{2} \ln \left(\left(2+x +{\mathrm e}\right) {\mathrm e}^{3}\right)$&$20$\\ derivativedivides&${\mathrm e}^{-3} \left(-32 \left({\mathrm e}+2\right) {\mathrm e}^{3}-32 x \,{\mathrm e}^{3}+12 \,{\mathrm e}^{-3} {\mathrm e} \,{\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}+{\mathrm e}^{3} {\mathrm e}^{4} {\mathrm e}^{2} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-\frac{4 \,{\mathrm e}^{-6} {\mathrm e} \,{\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3}}{3}+12 \,{\mathrm e}^{-3} \left({\mathrm e}^{2}\right)^{2} \left(\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)}{2}-\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}}{4}\right)+48 \,{\mathrm e}^{-3} {\mathrm e} \,{\mathrm e}^{2} \left(\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)}{2}-\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}}{4}\right)-12 \,{\mathrm e}^{-6} {\mathrm e} \,{\mathrm e}^{2} \left(\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)}{3}-\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3}}{9}\right)+8 \left({\mathrm e}^{3}\right)^{2} {\mathrm e}^{2} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)+24 \,{\mathrm e}^{3} \left({\mathrm e}^{2}\right)^{2} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)+3 \,{\mathrm e}^{-3} \left({\mathrm e}^{2}\right)^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}+32 \,{\mathrm e}^{2} {\mathrm e} \,{\mathrm e}^{3} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-48 \,{\mathrm e} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-56 \,{\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-32 \,{\mathrm e}^{2} \left(\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right) \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-x \,{\mathrm e}^{3}-\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-4 \,{\mathrm e}^{3} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)+24 \,{\mathrm e}^{-3} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}-8 \,{\mathrm e}^{-6} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3}+{\mathrm e}^{-9} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{4}+18 \,{\mathrm e}^{-3} {\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}+24 \,{\mathrm e}^{-3} {\mathrm e} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}-4 \,{\mathrm e}^{-6} {\mathrm e} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3}-\frac{8 \,{\mathrm e}^{-6} {\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3}}{3}-24 \left({\mathrm e}^{2}\right)^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)+48 \,{\mathrm e}^{-3} {\mathrm e}^{2} \left(\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)}{2}-\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}}{4}\right)-24 \,{\mathrm e}^{-6} {\mathrm e}^{2} \left(\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)}{3}-\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3}}{9}\right)-4 \,{\mathrm e}^{3} {\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)+4 \,{\mathrm e}^{-9} {\mathrm e}^{2} \left(\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{4} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)}{4}-\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{4}}{16}\right)-4 \,{\mathrm e}^{3} {\mathrm e}^{2} \left(\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right) \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-x \,{\mathrm e}^{3}-\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-24 \left({\mathrm e}^{2}\right)^{2} \left(\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right) \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-x \,{\mathrm e}^{3}-\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)+\frac{{\mathrm e}^{-9} {\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{4}}{4}-48 \,{\mathrm e} \,{\mathrm e}^{2} \left(\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right) \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-x \,{\mathrm e}^{3}-\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)+16 \,{\mathrm e}^{2} {\mathrm e}^{3} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-48 \,{\mathrm e} \,{\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)\right)$&$1039$\\ default&${\mathrm e}^{-3} \left(-32 \left({\mathrm e}+2\right) {\mathrm e}^{3}-32 x \,{\mathrm e}^{3}+12 \,{\mathrm e}^{-3} {\mathrm e} \,{\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}+{\mathrm e}^{3} {\mathrm e}^{4} {\mathrm e}^{2} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-\frac{4 \,{\mathrm e}^{-6} {\mathrm e} \,{\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3}}{3}+12 \,{\mathrm e}^{-3} \left({\mathrm e}^{2}\right)^{2} \left(\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)}{2}-\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}}{4}\right)+48 \,{\mathrm e}^{-3} {\mathrm e} \,{\mathrm e}^{2} \left(\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)}{2}-\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}}{4}\right)-12 \,{\mathrm e}^{-6} {\mathrm e} \,{\mathrm e}^{2} \left(\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)}{3}-\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3}}{9}\right)+8 \left({\mathrm e}^{3}\right)^{2} {\mathrm e}^{2} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)+24 \,{\mathrm e}^{3} \left({\mathrm e}^{2}\right)^{2} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)+3 \,{\mathrm e}^{-3} \left({\mathrm e}^{2}\right)^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}+32 \,{\mathrm e}^{2} {\mathrm e} \,{\mathrm e}^{3} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-48 \,{\mathrm e} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-56 \,{\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-32 \,{\mathrm e}^{2} \left(\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right) \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-x \,{\mathrm e}^{3}-\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-4 \,{\mathrm e}^{3} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)+24 \,{\mathrm e}^{-3} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}-8 \,{\mathrm e}^{-6} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3}+{\mathrm e}^{-9} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{4}+18 \,{\mathrm e}^{-3} {\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}+24 \,{\mathrm e}^{-3} {\mathrm e} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}-4 \,{\mathrm e}^{-6} {\mathrm e} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3}-\frac{8 \,{\mathrm e}^{-6} {\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3}}{3}-24 \left({\mathrm e}^{2}\right)^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)+48 \,{\mathrm e}^{-3} {\mathrm e}^{2} \left(\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)}{2}-\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{2}}{4}\right)-24 \,{\mathrm e}^{-6} {\mathrm e}^{2} \left(\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)}{3}-\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{3}}{9}\right)-4 \,{\mathrm e}^{3} {\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)+4 \,{\mathrm e}^{-9} {\mathrm e}^{2} \left(\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{4} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)}{4}-\frac{\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{4}}{16}\right)-4 \,{\mathrm e}^{3} {\mathrm e}^{2} \left(\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right) \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-x \,{\mathrm e}^{3}-\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-24 \left({\mathrm e}^{2}\right)^{2} \left(\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right) \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-x \,{\mathrm e}^{3}-\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)+\frac{{\mathrm e}^{-9} {\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)^{4}}{4}-48 \,{\mathrm e} \,{\mathrm e}^{2} \left(\left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right) \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-x \,{\mathrm e}^{3}-\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)+16 \,{\mathrm e}^{2} {\mathrm e}^{3} \ln \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)-48 \,{\mathrm e} \,{\mathrm e}^{2} \left(x \,{\mathrm e}^{3}+\left({\mathrm e}+2\right) {\mathrm e}^{3}\right)\right)$&$1039$\\ \hline \end{longtable}"," ",0,"x^4+x^4*exp(2)*ln((2+x+exp(1))*exp(3))","A"
9678,1,25,20,0.042000," ","int(1/2*((144*ln(3*x)-1)*exp(72*ln(3*x)^2)+exp(x)*x^2-3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{72 \ln \left(3 x \right)^{2}}}{2 x}+\frac{3}{2 x}+\frac{{\mathrm e}^{x}}{2}$&$25$\\ risch&$\frac{{\mathrm e}^{x} x +3}{2 x}+\frac{{\mathrm e}^{72 \ln \left(3 x \right)^{2}}}{2 x}$&$27$\\ \hline \end{longtable}"," ",0,"1/2/x*exp(72*ln(3*x)^2)+3/2/x+1/2*exp(x)","A"
9679,1,25,26,0.125000," ","int((4*exp(2)^2*ln(3)^2*exp(25*x^2)^2+(16*exp(2)*ln(3)^2+2*(-50*x^2-9)*exp(2)*ln(3))*exp(25*x^2)+16*ln(3)^2-36*ln(3)+20)/(4*exp(2)^2*ln(3)^2*exp(25*x^2)^2+(16*exp(2)*ln(3)^2-20*exp(2)*ln(3))*exp(25*x^2)+16*ln(3)^2-40*ln(3)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x}{2 \ln \left(3\right) {\mathrm e}^{25 x^{2}+2}+4 \ln \left(3\right)-5}$&$25$\\ norman&$\frac{\left(4 \ln \left(3\right)-4\right) x +2 x \,{\mathrm e}^{2} \ln \left(3\right) {\mathrm e}^{25 x^{2}}}{2 \,{\mathrm e}^{2} \ln \left(3\right) {\mathrm e}^{25 x^{2}}+4 \ln \left(3\right)-5}$&$44$\\ \hline \end{longtable}"," ",0,"x+x/(2*ln(3)*exp(25*x^2+2)+4*ln(3)-5)","A"
9680,1,21,18,0.073000," ","int(((-54*x+108)*ln(2-x)+162*x^2-657*x+612)/((9*x^4-18*x^3)*ln(2-x)^2+(-36*x^5+174*x^4-204*x^3)*ln(2-x)+36*x^6-276*x^5+697*x^4-578*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{9}{x^{2} \left(-17+6 x -3 \ln \left(2-x \right)\right)}$&$21$\\ risch&$-\frac{9}{x^{2} \left(-17+6 x -3 \ln \left(2-x \right)\right)}$&$21$\\ \hline \end{longtable}"," ",0,"-9/x^2/(-17+6*x-3*ln(2-x))","A"
9681,1,55,35,0.203000," ","int(((-exp(x)*exp(x^2)^4+4*exp(x)*exp(x^2)^3-6*exp(x)*exp(x^2)^2+4*exp(x)*exp(x^2)-5*exp(x))*ln(exp(x^2)^4-4*exp(x^2)^3+6*exp(x^2)^2-4*exp(x^2)+5)^2+((3*exp(x)*x^2+x^2-6*x+4)*exp(x^2)^4+(-12*exp(x)*x^2-4*x^2+24*x-16)*exp(x^2)^3+(18*exp(x)*x^2+6*x^2-36*x+24)*exp(x^2)^2+(-12*exp(x)*x^2-4*x^2+24*x-16)*exp(x^2)+15*exp(x)*x^2+5*x^2-30*x+20)*ln(exp(x^2)^4-4*exp(x^2)^3+6*exp(x^2)^2-4*exp(x^2)+5)+(-8*exp(x)*x^4+8*x^3-32*x^2)*exp(x^2)^4+(24*exp(x)*x^4-24*x^3+96*x^2)*exp(x^2)^3+(-24*exp(x)*x^4+24*x^3-96*x^2)*exp(x^2)^2+(8*exp(x)*x^4-8*x^3+32*x^2)*exp(x^2))/(exp(x)*exp(x^2)^4-4*exp(x)*exp(x^2)^3+6*exp(x)*exp(x^2)^2-4*exp(x)*exp(x^2)+5*exp(x))/ln(exp(x^2)^4-4*exp(x^2)^3+6*exp(x^2)^2-4*exp(x^2)+5)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{\left({\mathrm e}^{x} x^{2}-x +4\right) x \,{\mathrm e}^{-x}}{\ln \left({\mathrm e}^{4 x^{2}}-4 \,{\mathrm e}^{3 x^{2}}+6 \,{\mathrm e}^{2 x^{2}}-4 \,{\mathrm e}^{x^{2}}+5\right)}$&$55$\\ \hline \end{longtable}"," ",0,"-x+(exp(x)*x^2-x+4)*x*exp(-x)/ln(exp(4*x^2)-4*exp(3*x^2)+6*exp(2*x^2)-4*exp(x^2)+5)","A"
9682,1,5,10,0.007000," ","int(-1/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)$&$5$\\ norman&$-\ln \left(x \right)$&$5$\\ risch&$-\ln \left(x \right)$&$5$\\ \hline \end{longtable}"," ",0,"-ln(x)","A"
9683,1,24,27,0.160000," ","int(((-16*ln(x^2)^2-152*ln(x^2)-353)*exp(-1/(4*ln(x^2)+19))-512*x^3*ln(x^2)^2-4864*x^3*ln(x^2)-11552*x^3)/(16*x^2*ln(x^2)^2+152*x^2*ln(x^2)+361*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-16 x^{2}+\frac{{\mathrm e}^{-\frac{1}{4 \ln \left(x^{2}\right)+19}}}{x}$&$24$\\ default&$-16 x^{2}+\frac{\left(4 \ln \left(x^{2}\right)-8 \ln \left(x \right)+19\right) {\mathrm e}^{-\frac{1}{4 \ln \left(x^{2}\right)+19}}+8 \ln \left(x \right) {\mathrm e}^{-\frac{1}{4 \ln \left(x^{2}\right)+19}}}{x \left(4 \ln \left(x^{2}\right)+19\right)}$&$65$\\ \hline \end{longtable}"," ",0,"-16*x^2+1/x*exp(-1/(4*ln(x^2)+19))","A"
9684,1,25,23,0.152000," ","int(((-5*x^3-55*x^2-175*x-125)*exp(x)+(-25*x^2-250*x+626)*exp((-25*x^2+125*x-1)/(25+5*x)))/(5*x^2+50*x+125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{x} x +{\mathrm e}^{-\frac{25 x^{2}-125 x +1}{5 \left(5+x \right)}}$&$25$\\ norman&$\frac{x \,{\mathrm e}^{\frac{-25 x^{2}+125 x -1}{25+5 x}}-5 \,{\mathrm e}^{x} x -{\mathrm e}^{x} x^{2}+5 \,{\mathrm e}^{\frac{-25 x^{2}+125 x -1}{25+5 x}}}{5+x}$&$62$\\ \hline \end{longtable}"," ",0,"-exp(x)*x+exp(-1/5*(25*x^2-125*x+1)/(5+x))","A"
9685,1,28,31,0.071000," ","int(((8*x-32)*exp(4/(2+x))^2*ln(-x+4)^2*exp(2/ln(-x+4))+(10*x^4-120*x^2-160*x)*ln(-x+4)^2+10*x^4+40*x^3+40*x^2)/(x^3-12*x-16)/ln(-x+4)^2/exp(2/ln(-x+4)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$5 x^{2} {\mathrm e}^{-\frac{2}{\ln \left(-x +4\right)}}-{\mathrm e}^{\frac{8}{2+x}}$&$28$\\ default&$5 x^{2} {\mathrm e}^{-\frac{2}{\ln \left(-x +4\right)}}-{\mathrm e}^{\frac{8}{2+x}}$&$32$\\ \hline \end{longtable}"," ",0,"5*x^2*exp(-2/ln(-x+4))-exp(8/(2+x))","A"
9686,1,28,24,0.254000," ","int(((16*x^2-864*x+11664)*ln(2)^2+(16*x^6-872*x^5+11880*x^4)*ln(2)-x^9+x^8)*exp((x^5-27*x^4)/((4*x-108)*ln(2)-x^4))/((16*x^2-864*x+11664)*ln(2)^2+(-8*x^5+216*x^4)*ln(2)+x^8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \,{\mathrm e}^{\frac{x^{4} \left(x -27\right)}{-x^{4}+4 x \ln \left(2\right)-108 \ln \left(2\right)}}$&$28$\\ risch&$x \,{\mathrm e}^{\frac{x^{4} \left(x -27\right)}{-x^{4}+4 x \ln \left(2\right)-108 \ln \left(2\right)}}$&$28$\\ norman&$\frac{-x^{5} {\mathrm e}^{\frac{x^{5}-27 x^{4}}{\left(4 x -108\right) \ln \left(2\right)-x^{4}}}-108 x \ln \left(2\right) {\mathrm e}^{\frac{x^{5}-27 x^{4}}{\left(4 x -108\right) \ln \left(2\right)-x^{4}}}+4 x^{2} \ln \left(2\right) {\mathrm e}^{\frac{x^{5}-27 x^{4}}{\left(4 x -108\right) \ln \left(2\right)-x^{4}}}}{-x^{4}+4 x \ln \left(2\right)-108 \ln \left(2\right)}$&$118$\\ \hline \end{longtable}"," ",0,"x*exp(x^4*(x-27)/(-x^4+4*x*ln(2)-108*ln(2)))","A"
9687,1,17,18,0.062000," ","int(((5*x+5)*ln(3)*ln(x+1)+5*x*ln(3)*ln(x)-15*x*ln(3))/((32*x^2+32*x)*ln(x)^2+(-192*x^2-192*x)*ln(x)+288*x^2+288*x)/ln(x+1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \ln \left(3\right)}{32 \left(\ln \left(x \right)-3\right) \ln \left(x +1\right)}$&$17$\\ \hline \end{longtable}"," ",0,"-5/32*ln(3)/(ln(x)-3)/ln(x+1)","A"
9688,1,16,14,0.018000," ","int(-exp(3)+75*x^2+20*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(-25 x^{2}+{\mathrm e}^{3}-10 x -1\right)$&$16$\\ default&$-x \,{\mathrm e}^{3}+25 x^{3}+10 x^{2}+x$&$18$\\ risch&$-x \,{\mathrm e}^{3}+25 x^{3}+10 x^{2}+x$&$18$\\ norman&$\left(-{\mathrm e}^{3}+1\right) x +10 x^{2}+25 x^{3}$&$20$\\ \hline \end{longtable}"," ",0,"-x*(-25*x^2+exp(3)-10*x-1)","A"
9689,1,379,33,0.220000," ","int((((-16*x*ln(2)+8*x^2)*exp(x)+4*(8*x^3-8*x^2)*ln(2)^2+2*(-16*x^4+16*x^3)*ln(2)+8*x^5-8*x^4)*ln((exp(x)+2*(-x^2+x)*ln(2)+x^3-x^2)/(2*ln(2)-x))+(2*(20*x^2+8*x)*ln(2)-20*x^3-12*x^2)*exp(x)+4*(-24*x^4+24*x^3+4*x^2)*ln(2)^2+2*(48*x^5-48*x^4-8*x^3)*ln(2)-24*x^6+24*x^5+4*x^4)/((10*ln(2)-5*x)*exp(x)+4*(-5*x^2+5*x)*ln(2)^2+2*(10*x^3-10*x^2)*ln(2)-5*x^4+5*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x^{2} \ln \left(\left(x^{2}-x \right) \ln \left(2\right)-\frac{x^{3}}{2}+\frac{x^{2}}{2}-\frac{{\mathrm e}^{x}}{2}\right)}{5}+\frac{4 x^{2} \ln \left(\ln \left(2\right)-\frac{x}{2}\right)}{5}+\frac{8 x^{3}}{5}+\frac{4 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(-\left(x^{2}-x \right) \ln \left(2\right)+\frac{x^{3}}{2}-\frac{x^{2}}{2}+\frac{{\mathrm e}^{x}}{2}\right)}{\ln \left(2\right)-\frac{x}{2}}\right)^{2}}{5}+\frac{2 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(2\right)-\frac{x}{2}}\right) \mathrm{csgn}\left(i \left(-\left(x^{2}-x \right) \ln \left(2\right)+\frac{x^{3}}{2}-\frac{x^{2}}{2}+\frac{{\mathrm e}^{x}}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\left(x^{2}-x \right) \ln \left(2\right)+\frac{x^{3}}{2}-\frac{x^{2}}{2}+\frac{{\mathrm e}^{x}}{2}\right)}{\ln \left(2\right)-\frac{x}{2}}\right)}{5}-\frac{2 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(2\right)-\frac{x}{2}}\right) \mathrm{csgn}\left(\frac{i \left(-\left(x^{2}-x \right) \ln \left(2\right)+\frac{x^{3}}{2}-\frac{x^{2}}{2}+\frac{{\mathrm e}^{x}}{2}\right)}{\ln \left(2\right)-\frac{x}{2}}\right)^{2}}{5}+\frac{2 i \pi  \,x^{2} \mathrm{csgn}\left(i \left(-\left(x^{2}-x \right) \ln \left(2\right)+\frac{x^{3}}{2}-\frac{x^{2}}{2}+\frac{{\mathrm e}^{x}}{2}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\left(x^{2}-x \right) \ln \left(2\right)+\frac{x^{3}}{2}-\frac{x^{2}}{2}+\frac{{\mathrm e}^{x}}{2}\right)}{\ln \left(2\right)-\frac{x}{2}}\right)^{2}}{5}+\frac{2 i \pi  \,x^{2} \mathrm{csgn}\left(\frac{i \left(-\left(x^{2}-x \right) \ln \left(2\right)+\frac{x^{3}}{2}-\frac{x^{2}}{2}+\frac{{\mathrm e}^{x}}{2}\right)}{\ln \left(2\right)-\frac{x}{2}}\right)^{3}}{5}-\frac{4 i \pi  \,x^{2}}{5}+\frac{4 x^{2}}{5}$&$379$\\ \hline \end{longtable}"," ",0,"-4/5*x^2*ln((x^2-x)*ln(2)-1/2*x^3+1/2*x^2-1/2*exp(x))+4/5*x^2*ln(ln(2)-1/2*x)+8/5*x^3+4/5*I*Pi*x^2*csgn(I*(-(x^2-x)*ln(2)+1/2*x^3-1/2*x^2+1/2*exp(x))/(ln(2)-1/2*x))^2+2/5*I*Pi*x^2*csgn(I/(ln(2)-1/2*x))*csgn(I*(-(x^2-x)*ln(2)+1/2*x^3-1/2*x^2+1/2*exp(x)))*csgn(I*(-(x^2-x)*ln(2)+1/2*x^3-1/2*x^2+1/2*exp(x))/(ln(2)-1/2*x))-2/5*I*Pi*x^2*csgn(I/(ln(2)-1/2*x))*csgn(I*(-(x^2-x)*ln(2)+1/2*x^3-1/2*x^2+1/2*exp(x))/(ln(2)-1/2*x))^2+2/5*I*Pi*x^2*csgn(I*(-(x^2-x)*ln(2)+1/2*x^3-1/2*x^2+1/2*exp(x)))*csgn(I*(-(x^2-x)*ln(2)+1/2*x^3-1/2*x^2+1/2*exp(x))/(ln(2)-1/2*x))^2+2/5*I*Pi*x^2*csgn(I*(-(x^2-x)*ln(2)+1/2*x^3-1/2*x^2+1/2*exp(x))/(ln(2)-1/2*x))^3-4/5*I*Pi*x^2+4/5*x^2","C"
9690,1,22,27,0.051000," ","int((375*ln(x)^3+(450*x+1350)*ln(x)^2+(180*x^2+830*x+2120)*ln(x)+24*x^3+216*x^2+398*x+248)/(125*ln(x)^3+(150*x+450)*ln(x)^2+(60*x^2+360*x+540)*ln(x)+8*x^3+72*x^2+216*x+216),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x -\frac{25 \left(x -4\right) x}{\left(5 \ln \left(x \right)+2 x +6\right)^{2}}$&$22$\\ norman&$\frac{-540 \ln \left(x \right)-225 \ln \left(x \right)^{2}-8 x +11 x^{2}+12 x^{3}+75 x \ln \left(x \right)^{2}+60 x^{2} \ln \left(x \right)-324}{\left(5 \ln \left(x \right)+2 x +6\right)^{2}}$&$52$\\ \hline \end{longtable}"," ",0,"3*x-25*(x-4)*x/(5*ln(x)+2*x+6)^2","A"
9691,1,36,24,0.135000," ","int(((-4*x^3+2*x)*exp(x^2)^2-x^2)*exp((2*exp(5)*exp(x^2)^2-2*x*exp(5)+x^2)/(exp(x^2)^2-x))/(exp(x^2)^4-2*x*exp(x^2)^2+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{2 x \,{\mathrm e}^{5}-x^{2}-2 \,{\mathrm e}^{2 x^{2}+5}}{-{\mathrm e}^{2 x^{2}}+x}}$&$36$\\ \hline \end{longtable}"," ",0,"exp((2*x*exp(5)-x^2-2*exp(2*x^2+5))/(-exp(2*x^2)+x))","A"
9692,1,16,15,0.030000," ","int(1/64*((12*ln(x)+12)*exp(12*x*ln(x))+1)*exp(exp(12*x*ln(x))+5+x)^4*exp(1/256*exp(exp(12*x*ln(x))+5+x)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{\frac{{\mathrm e}^{4 \,{\mathrm e}^{12 x \ln \left(x \right)}+20+4 x}}{256}}$&$16$\\ default&${\mathrm e}^{\frac{{\mathrm e}^{4 \,{\mathrm e}^{12 x \ln \left(x \right)}+20+4 x}}{256}}$&$16$\\ risch&${\mathrm e}^{\frac{{\mathrm e}^{4 x^{12 x}+20+4 x}}{256}}$&$17$\\ \hline \end{longtable}"," ",0,"exp(1/256*exp(exp(12*x*ln(x))+5+x)^4)","A"
9693,1,85,31,0.148000," ","int((((3+x)*ln(1/x^2)+(3+x)*exp(5)+2*x+6)*ln(3/2+1/2*x)-x*ln(1/x^2)-x*exp(5)-2*x^4-5*x^3+6*x^2+6*x)/(x^3+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 \,{\mathrm e}^{5}-4 \ln \left(x \right)\right) \ln \left(\frac{3}{2}+\frac{x}{2}\right)}{2 x}-x^{2}+x +\ln \left(3+x \right)+2 \ln \left(x \right)$&$85$\\ \hline \end{longtable}"," ",0,"-1/2*(I*Pi*csgn(I*x)^2*csgn(I*x^2)-2*I*Pi*csgn(I*x)*csgn(I*x^2)^2+I*Pi*csgn(I*x^2)^3+2*exp(5)-4*ln(x))/x*ln(3/2+1/2*x)-x^2+x+ln(3+x)+2*ln(x)","C"
9694,1,17,19,0.034000," ","int(1/64*(81*x^2-16)/x^2/exp(exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{-{\mathrm e}^{2}} \left(81 x +\frac{16}{x}\right)}{64}$&$17$\\ gosper&$\frac{\left(81 x^{2}+16\right) {\mathrm e}^{-{\mathrm e}^{2}}}{64 x}$&$18$\\ risch&$\frac{81 x \,{\mathrm e}^{-{\mathrm e}^{2}}}{64}+\frac{{\mathrm e}^{-{\mathrm e}^{2}}}{4 x}$&$20$\\ norman&$\frac{\frac{{\mathrm e}^{-{\mathrm e}^{2}}}{4}+\frac{81 \,{\mathrm e}^{-{\mathrm e}^{2}} x^{2}}{64}}{x}$&$23$\\ \hline \end{longtable}"," ",0,"1/64/exp(exp(2))*(81*x+16/x)","A"
9695,1,46,50,0.051000," ","int(1/4*((-2*ln(x)^3+4*ln(x)+5*x^2)*exp(-ln(x)^4+4*ln(x)^2+5*x^2+26)^2+(8*ln(x)^3-16*ln(x)-20*x^2)*exp(-ln(x)^4+4*ln(x)^2+5*x^2+26))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-2 \ln \left(x \right)^{4}+8 \ln \left(x \right)^{2}+10 x^{2}+52}}{16}-\frac{{\mathrm e}^{-\ln \left(x \right)^{4}+4 \ln \left(x \right)^{2}+5 x^{2}+26}}{2}$&$46$\\ \hline \end{longtable}"," ",0,"1/16*exp(-2*ln(x)^4+8*ln(x)^2+10*x^2+52)-1/2*exp(-ln(x)^4+4*ln(x)^2+5*x^2+26)","A"
9696,1,35,27,0.163000," ","int(((-x^3+3*x^2+x+2)*exp(ln(x^2/(x^4-2*x^3-x^2+2*x+1))+x)-2*x^4+6*x^3-2*x^2-4*x)/(4*x^3-4*x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{x^{2}}{4}-\frac{x^{2} {\mathrm e}^{x}}{4 \left(x^{4}-2 x^{3}-x^{2}+2 x +1\right)}$&$35$\\ norman&$x -\frac{x^{2}}{4}-\frac{{\mathrm e}^{\ln \left(\frac{x^{2}}{x^{4}-2 x^{3}-x^{2}+2 x +1}\right)+x}}{4}$&$38$\\ default&$\text{Expression too large to display}$&$39308$\\ \hline \end{longtable}"," ",0,"x-1/4*x^2-1/4*x^2/(x^4-2*x^3-x^2+2*x+1)*exp(x)","A"
9697,1,35,22,0.060000," ","int(((3*ln(x)+9)*ln(3+ln(x))*exp(ln(-ln(3+ln(x)))-5)+(3*ln(x)+9)*ln(3+ln(x))-3)*exp(((3*x-15)*exp(ln(-ln(3+ln(x)))-5)+3*x)/exp(ln(-ln(3+ln(x)))-5))/(3+ln(x))/ln(3+ln(x))/exp(ln(-ln(3+ln(x)))-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{3 \left(\ln \left(3+\ln \left(x \right)\right) {\mathrm e}^{-5} x -5 \ln \left(3+\ln \left(x \right)\right) {\mathrm e}^{-5}-x \right) {\mathrm e}^{5}}{\ln \left(3+\ln \left(x \right)\right)}}$&$35$\\ \hline \end{longtable}"," ",0,"exp(3*(ln(3+ln(x))*exp(-5)*x-5*ln(3+ln(x))*exp(-5)-x)*exp(5)/ln(3+ln(x)))","A"
9698,1,313,14,0.098000," ","int(((8*exp(2)^8+8*x*exp(2)^7)*ln(2*x)^7+((56*x+112)*exp(2)^7+(56*x^2+112*x)*exp(2)^6)*ln(2*x)^6+((168*x^2+672*x+672)*exp(2)^6+(168*x^3+672*x^2+672*x)*exp(2)^5)*ln(2*x)^5+((280*x^3+1680*x^2+3360*x+2240)*exp(2)^5+(280*x^4+1680*x^3+3360*x^2+2240*x)*exp(2)^4)*ln(2*x)^4+((280*x^4+2240*x^3+6720*x^2+8960*x+4480)*exp(2)^4+(280*x^5+2240*x^4+6720*x^3+8960*x^2+4480*x)*exp(2)^3)*ln(2*x)^3+((168*x^5+1680*x^4+6720*x^3+13440*x^2+13440*x+5376)*exp(2)^3+(168*x^6+1680*x^5+6720*x^4+13440*x^3+13440*x^2+5376*x)*exp(2)^2)*ln(2*x)^2+((56*x^6+672*x^5+3360*x^4+8960*x^3+13440*x^2+10752*x+3584)*exp(2)^2+(56*x^7+672*x^6+3360*x^5+8960*x^4+13440*x^3+10752*x^2+3584*x)*exp(2))*ln(2*x)+(8*x^7+112*x^6+672*x^5+2240*x^4+4480*x^3+5376*x^2+3584*x+1024)*exp(2)+8*x^8+112*x^7+672*x^6+2240*x^5+4480*x^4+5376*x^3+3584*x^2+1024*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{16} \ln \left(2 x \right)^{8}+\left(8 x \,{\mathrm e}^{14}+16 \,{\mathrm e}^{14}\right) \ln \left(2 x \right)^{7}+\left(28 x^{2} {\mathrm e}^{12}+112 x \,{\mathrm e}^{12}+112 \,{\mathrm e}^{12}\right) \ln \left(2 x \right)^{6}+\left(56 x^{3} {\mathrm e}^{10}+336 x^{2} {\mathrm e}^{10}+672 x \,{\mathrm e}^{10}+448 \,{\mathrm e}^{10}\right) \ln \left(2 x \right)^{5}+\left(70 x^{4} {\mathrm e}^{8}+560 x^{3} {\mathrm e}^{8}+1680 x^{2} {\mathrm e}^{8}+2240 x \,{\mathrm e}^{8}+1120 \,{\mathrm e}^{8}\right) \ln \left(2 x \right)^{4}+\left(56 \,{\mathrm e}^{6} x^{5}+560 x^{4} {\mathrm e}^{6}+2240 x^{3} {\mathrm e}^{6}+4480 x^{2} {\mathrm e}^{6}+4480 x \,{\mathrm e}^{6}+1792 \,{\mathrm e}^{6}\right) \ln \left(2 x \right)^{3}+\left(28 x^{6} {\mathrm e}^{4}+336 x^{5} {\mathrm e}^{4}+1680 x^{4} {\mathrm e}^{4}+4480 x^{3} {\mathrm e}^{4}+6720 x^{2} {\mathrm e}^{4}+5376 x \,{\mathrm e}^{4}+1792 \,{\mathrm e}^{4}\right) \ln \left(2 x \right)^{2}+\left(8 \,{\mathrm e}^{2} x^{7}+112 x^{6} {\mathrm e}^{2}+672 \,{\mathrm e}^{2} x^{5}+2240 x^{4} {\mathrm e}^{2}+4480 x^{3} {\mathrm e}^{2}+5376 x^{2} {\mathrm e}^{2}+3584 \,{\mathrm e}^{2} x \right) \ln \left(2 x \right)+x^{8}+16 x^{7}+112 x^{6}+448 x^{5}+1120 x^{4}+1792 x^{3}+1792 x^{2}+1024 x +1024 \,{\mathrm e}^{2} \ln \left(x \right)$&$313$\\ derivativedivides&$\text{Expression too large to display}$&$2064$\\ default&$\text{Expression too large to display}$&$2064$\\ \hline \end{longtable}"," ",0,"exp(16)*ln(2*x)^8+(8*x*exp(14)+16*exp(14))*ln(2*x)^7+(28*x^2*exp(12)+112*x*exp(12)+112*exp(12))*ln(2*x)^6+(56*x^3*exp(10)+336*x^2*exp(10)+672*x*exp(10)+448*exp(10))*ln(2*x)^5+(70*x^4*exp(8)+560*x^3*exp(8)+1680*x^2*exp(8)+2240*x*exp(8)+1120*exp(8))*ln(2*x)^4+(56*exp(6)*x^5+560*x^4*exp(6)+2240*x^3*exp(6)+4480*x^2*exp(6)+4480*x*exp(6)+1792*exp(6))*ln(2*x)^3+(28*x^6*exp(4)+336*x^5*exp(4)+1680*x^4*exp(4)+4480*x^3*exp(4)+6720*x^2*exp(4)+5376*x*exp(4)+1792*exp(4))*ln(2*x)^2+(8*exp(2)*x^7+112*x^6*exp(2)+672*exp(2)*x^5+2240*x^4*exp(2)+4480*x^3*exp(2)+5376*x^2*exp(2)+3584*exp(2)*x)*ln(2*x)+x^8+16*x^7+112*x^6+448*x^5+1120*x^4+1792*x^3+1792*x^2+1024*x+1024*exp(2)*ln(x)","B"
9699,1,54,16,0.148000," ","int((-16*ln((-7*x-32)/(4+x))^3+48*ln((-7*x-32)/(4+x))^2-48*ln((-7*x-32)/(4+x))+16)/(7*x^2+60*x+128),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(-7-\frac{4}{4+x}\right)^{4}-4 \ln \left(-7-\frac{4}{4+x}\right)^{3}+6 \ln \left(-7-\frac{4}{4+x}\right)^{2}-4 \ln \left(-7-\frac{4}{4+x}\right)$&$54$\\ default&$\ln \left(-7-\frac{4}{4+x}\right)^{4}-4 \ln \left(-7-\frac{4}{4+x}\right)^{3}+6 \ln \left(-7-\frac{4}{4+x}\right)^{2}-4 \ln \left(-7-\frac{4}{4+x}\right)$&$54$\\ risch&$4 \ln \left(4+x \right)-4 \ln \left(7 x +32\right)+6 \ln \left(-7-\frac{4}{4+x}\right)^{2}-4 \ln \left(-7-\frac{4}{4+x}\right)^{3}+\ln \left(-7-\frac{4}{4+x}\right)^{4}$&$56$\\ norman&$\ln \left(\frac{-7 x -32}{4+x}\right)^{4}+6 \ln \left(\frac{-7 x -32}{4+x}\right)^{2}-4 \ln \left(\frac{-7 x -32}{4+x}\right)^{3}-4 \ln \left(7 x +32\right)+4 \ln \left(4+x \right)$&$62$\\ \hline \end{longtable}"," ",0,"ln(-7-4/(4+x))^4-4*ln(-7-4/(4+x))^3+6*ln(-7-4/(4+x))^2-4*ln(-7-4/(4+x))","B"
9700,1,34,29,0.338000," ","int((((2*x^5-5*x^4+3*x^3)*exp(3)^2+(4*x^4-6*x^3)*exp(3)+2*x^3-3*x^2)*ln(((-x^2+x)*exp(3)^2-2*x*exp(3)-1)/exp(3)^2)^2+((4*x^5-6*x^4+2*x^3)*exp(3)^2+(4*x^4-4*x^3)*exp(3))*ln(((-x^2+x)*exp(3)^2-2*x*exp(3)-1)/exp(3)^2))/((20*x^4-60*x^3+60*x^2-20*x)*exp(3)^2+(40*x^3-80*x^2+40*x)*exp(3)+20*x^2-40*x+20),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\left(\left(-x^{2}+x \right) {\mathrm e}^{6}-2 x \,{\mathrm e}^{3}-1\right) {\mathrm e}^{-6}\right)^{2} x^{3}}{20 x -20}$&$34$\\ norman&$\frac{\ln \left(\left(\left(-x^{2}+x \right) {\mathrm e}^{6}-2 x \,{\mathrm e}^{3}-1\right) {\mathrm e}^{-6}\right)^{2} x^{3}}{20 x -20}$&$38$\\ default&\verb|error in gcdex: invalid arguments\|& N/A\\ \hline \end{longtable}"," ",0,"1/20*x^3*ln(((-x^2+x)*exp(6)-2*x*exp(3)-1)*exp(-6))^2/(x-1)","A"
9701,1,14,15,0.044000," ","int(1/4*(70*x+105)*exp(ln(x^2)+2*x)+109/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{109 x}{4}+\frac{35 \,{\mathrm e}^{2 x} x^{3}}{4}$&$14$\\ norman&$\frac{109 x}{4}+\frac{35 \,{\mathrm e}^{\ln \left(x^{2}\right)+2 x} x}{4}$&$17$\\ default&$\frac{109 x}{4}+\frac{35 \,{\mathrm e}^{\ln \left(x^{2}\right)-2 \ln \left(x \right)+2 x} x^{3}}{4}+\frac{35 \,{\mathrm e}^{\ln \left(x^{2}\right)-2 \ln \left(x \right)+2 x} x^{2}}{8}-\frac{35 \,{\mathrm e}^{\ln \left(x^{2}\right)-2 \ln \left(x \right)+2 x} x}{4}+\frac{35 \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right) \left(\frac{\left(\ln \left(x^{2}\right)-2 \ln \left(x \right)+2 x \right) {\mathrm e}^{\ln \left(x^{2}\right)-2 \ln \left(x \right)+2 x}}{2}-{\mathrm e}^{\ln \left(x^{2}\right)-2 \ln \left(x \right)+2 x}\right)}{8}+\frac{35 \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)+2 x \right) {\mathrm e}^{\ln \left(x^{2}\right)-2 \ln \left(x \right)+2 x}}{8}-\frac{35 \,{\mathrm e}^{\ln \left(x^{2}\right)-2 \ln \left(x \right)+2 x} \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right)^{2}}{32}-\frac{35 \,{\mathrm e}^{\ln \left(x^{2}\right)-2 \ln \left(x \right)+2 x} \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)+2 x \right)^{2}}{32}$&$193$\\ \hline \end{longtable}"," ",0,"109/4*x+35/4*exp(2*x)*x^3","A"
9702,1,15,16,0.086000," ","int((4*x*ln(1/2*x)-4*x+16)/(x^2-4*x)/ln(1/2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-4 \ln \left(\ln \left(\frac{x}{2}\right)\right)+4 \ln \left(x -4\right)$&$15$\\ risch&$-4 \ln \left(\ln \left(\frac{x}{2}\right)\right)+4 \ln \left(x -4\right)$&$15$\\ derivativedivides&$4 \ln \left(\frac{x}{2}-2\right)-4 \ln \left(\ln \left(\frac{x}{2}\right)\right)$&$17$\\ default&$4 \ln \left(\frac{x}{2}-2\right)-4 \ln \left(\ln \left(\frac{x}{2}\right)\right)$&$17$\\ \hline \end{longtable}"," ",0,"-4*ln(ln(1/2*x))+4*ln(x-4)","A"
9703,1,26,28,0.431000," ","int(((x^5+5*x^4-5*x^3-25*x^2+40*x-16)*ln(5)*exp(x^2/(x^2-2*x+1))-30*x^3+20*x^2-60*x+20)/(x^5+5*x^4-5*x^3-25*x^2+40*x-16)/ln(5)/exp(x^2/(x^2-2*x+1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{5 x \,{\mathrm e}^{-\frac{x^{2}}{\left(x -1\right)^{2}}}}{\ln \left(5\right) \left(4+x \right)}$&$26$\\ norman&$\frac{\left(x^{4} {\mathrm e}^{\frac{x^{2}}{x^{2}-2 x +1}}-8 \,{\mathrm e}^{\frac{x^{2}}{x^{2}-2 x +1}}+18 x \,{\mathrm e}^{\frac{x^{2}}{x^{2}-2 x +1}}-11 x^{2} {\mathrm e}^{\frac{x^{2}}{x^{2}-2 x +1}}-\frac{5 x}{\ln \left(5\right)}+\frac{10 x^{2}}{\ln \left(5\right)}-\frac{5 x^{3}}{\ln \left(5\right)}\right) {\mathrm e}^{-\frac{x^{2}}{x^{2}-2 x +1}}}{\left(4+x \right) \left(x -1\right)^{2}}$&$129$\\ \hline \end{longtable}"," ",0,"x-5/ln(5)*x/(4+x)*exp(-x^2/(x-1)^2)","A"
9704,1,35,24,0.339000," ","int((exp(1)-7*x^8+8*x^5-18*x^4-x^2+9)*(ln(3)+I*Pi)/(exp(1)^2+(2*x^8-4*x^5+12*x^4+2*x^2-12*x+18)*exp(1)+x^16-4*x^13+12*x^12+6*x^10-36*x^9+54*x^8-4*x^7+36*x^6-108*x^5+109*x^4-12*x^3+54*x^2-108*x+81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(\ln \left(3\right)+i \pi \right) x}{x^{8}-2 x^{5}+6 x^{4}+x^{2}+{\mathrm e}-6 x +9}$&$35$\\ norman&$\frac{\left(\ln \left(3\right)+i \pi \right) x}{x^{8}-2 x^{5}+6 x^{4}+x^{2}+{\mathrm e}-6 x +9}$&$35$\\ risch&$\frac{\left(\ln \left(3\right)+i \pi \right) x}{x^{8}-2 x^{5}+6 x^{4}+x^{2}+{\mathrm e}-6 x +9}$&$35$\\ \hline \end{longtable}"," ",0,"(ln(3)+I*Pi)*x/(x^8-2*x^5+6*x^4+x^2+exp(1)-6*x+9)","A"
9705,1,24,24,0.069000," ","int(1/3*((2*x^2+2)*exp(1/3*(-2*x^2-12*x+2)/x)+6*x^2*ln(2)-3*x)*exp(exp(1/3*(-2*x^2-12*x+2)/x))/x/exp(x*ln(2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x 2^{-2 x} {\mathrm e}^{{\mathrm e}^{-\frac{2 \left(x^{2}+6 x -1\right)}{3 x}}}$&$24$\\ \hline \end{longtable}"," ",0,"-x/(2^x)^2*exp(exp(-2/3*(x^2+6*x-1)/x))","A"
9706,1,36,29,0.144000," ","int(((-9*x*ln(1/2*x)+9*x-27)*exp(((15*ln(2)+6)*ln(1/2*x)+(-9*x+27)*ln(2))/ln(2)/ln(1/2*x))+x*ln(1/2*x)^2)/(x*ln(1/2*x)^2*exp(((15*ln(2)+6)*ln(1/2*x)+(-9*x+27)*ln(2))/ln(2)/ln(1/2*x))+x^2*ln(1/2*x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left({\mathrm e}^{\frac{\left(15 \ln \left(2\right)+6\right) \ln \left(\frac{x}{2}\right)+\left(-9 x +27\right) \ln \left(2\right)}{\ln \left(2\right) \ln \left(\frac{x}{2}\right)}}+x \right)$&$36$\\ risch&$-\frac{9 \left(x -3\right)}{\ln \left(\frac{x}{2}\right)}-\frac{\left(15 \ln \left(2\right)+6\right) \ln \left(\frac{x}{2}\right)+\left(-9 x +27\right) \ln \left(2\right)}{\ln \left(2\right) \ln \left(\frac{x}{2}\right)}+\ln \left({\mathrm e}^{-\frac{3 \left(-5 \ln \left(\frac{x}{2}\right) \ln \left(2\right)+3 x \ln \left(2\right)-9 \ln \left(2\right)-2 \ln \left(\frac{x}{2}\right)\right)}{\ln \left(\frac{x}{2}\right) \ln \left(2\right)}}+x \right)$&$85$\\ \hline \end{longtable}"," ",0,"ln(exp(((15*ln(2)+6)*ln(1/2*x)+(-9*x+27)*ln(2))/ln(2)/ln(1/2*x))+x)","A"
9707,1,183,21,0.321000," ","int(((-2*x^3-6*x^2)*ln(3+x)*ln(4*x/ln(3+x)^2)+(8*x^3+24*x^2-x-3)*ln(3+x)+2*x)/((x^2+3*x)*ln(3+x)*ln(4*x/ln(3+x)^2)+(-4*x^2-12*x)*ln(3+x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-\ln \left(\ln \left(\ln \left(3+x \right)\right)+\frac{i \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(3+x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(3+x \right)^{2}}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\ln \left(3+x \right)^{2}}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(3+x \right)^{2}}\right) \mathrm{csgn}\left(\frac{i x}{\ln \left(3+x \right)^{2}}\right)^{2}-\pi  \mathrm{csgn}\left(i \ln \left(3+x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(3+x \right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \ln \left(3+x \right)\right) \mathrm{csgn}\left(i \ln \left(3+x \right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \ln \left(3+x \right)^{2}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(3+x \right)^{2}}\right)^{3}+4 i \ln \left(2\right)+2 i \ln \left(x \right)-8 i\right)}{4}\right)$&$183$\\ \hline \end{longtable}"," ",0,"-x^2-ln(ln(ln(3+x))+1/4*I*(Pi*csgn(I*x)*csgn(I/ln(3+x)^2)*csgn(I*x/ln(3+x)^2)-Pi*csgn(I*x)*csgn(I*x/ln(3+x)^2)^2-Pi*csgn(I/ln(3+x)^2)*csgn(I*x/ln(3+x)^2)^2-Pi*csgn(I*ln(3+x))^2*csgn(I*ln(3+x)^2)+2*Pi*csgn(I*ln(3+x))*csgn(I*ln(3+x)^2)^2-Pi*csgn(I*ln(3+x)^2)^3+Pi*csgn(I*x/ln(3+x)^2)^3+4*I*ln(2)+2*I*ln(x)-8*I))","C"
9708,1,17,18,0.089000," ","int((-exp(21)-3*x^2)*exp(ln(ln(3)/(x*exp(21)+x^3))+5)/(x*exp(21)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{5} \ln \left(3\right)}{x \left({\mathrm e}^{21}+x^{2}\right)}$&$17$\\ risch&$\frac{{\mathrm e}^{5} \ln \left(3\right)}{x \left({\mathrm e}^{21}+x^{2}\right)}$&$17$\\ gosper&${\mathrm e}^{5+\ln \left(\frac{\ln \left(3\right)}{\left({\mathrm e}^{21}+x^{2}\right) x}\right)}$&$19$\\ default&$\frac{{\mathrm e}^{5+\ln \left(\frac{\ln \left(3\right)}{x \,{\mathrm e}^{21}+x^{3}}\right)+\ln \left(x \,{\mathrm e}^{21}+x^{3}\right)} {\mathrm e}^{-21}}{x}-\frac{{\mathrm e}^{5+\ln \left(\frac{\ln \left(3\right)}{x \,{\mathrm e}^{21}+x^{3}}\right)+\ln \left(x \,{\mathrm e}^{21}+x^{3}\right)} x \,{\mathrm e}^{-21}}{{\mathrm e}^{21}+x^{2}}$&$200$\\ \hline \end{longtable}"," ",0,"exp(5)*ln(3)/x/(exp(21)+x^2)","A"
9709,1,20,30,0.232000," ","int(((-4*x^2-8*x)*exp(x)-16)/((625*x^4*exp(3)^2-2500*x^4*exp(3)+2500*x^4)*exp(x)^2+(5000*x^3*exp(3)^2-20000*x^3*exp(3)+20000*x^3)*exp(x)+10000*x^2*exp(3)^2-40000*x^2*exp(3)+40000*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4}{625 \left({\mathrm e}^{3}-2\right)^{2} x \left({\mathrm e}^{x} x +4\right)}$&$20$\\ risch&$\frac{4}{625 x \left({\mathrm e}^{6}-4 \,{\mathrm e}^{3}+4\right) \left({\mathrm e}^{x} x +4\right)}$&$24$\\ \hline \end{longtable}"," ",0,"4/625/(exp(3)-2)^2/x/(exp(x)*x+4)","A"
9710,1,223,34,0.543000," ","int(((648*x^3+486*x^2)*exp(x)^4+(-5832*x^4-11664*x^3-3888*x^2)*exp(x)^3+((5832*x^2+5832*x)*ln(3)+(-5832*x^2-5832*x)*exp(5)+17496*x^5+67068*x^4+54432*x^3+11664*x^2)*exp(x)^2+((-17496*x^3-64152*x^2-23328*x)*ln(3)+(17496*x^3+64152*x^2+23328*x)*exp(5)-17496*x^6-139968*x^5-198288*x^4-98496*x^3-15552*x^2)*exp(x)+13122*ln(3)^2+(-26244*exp(5)+104976*x^3+104976*x^2+23328*x)*ln(3)+13122*exp(5)^2+(-104976*x^3-104976*x^2-23328*x)*exp(5)+91854*x^6+209952*x^5+174960*x^4+62208*x^3+7776*x^2-26244*x-26244)/(108864*x^11+81648*x^12+34992*x^13+6561*x^14-101904*x^7-45108*x^8+90720*x^10+35262*x^9-85280*x^6-33696*x^5+1377*x^4+26244*x^3+26244*x^2+6561*x^2*exp(5)^4+(2916*x^3*ln(3)^3+(-8748*x^3*exp(5)+26244*x^6+34992*x^5+11664*x^4)*ln(3)^2+(8748*x^3*exp(5)^2+(-52488*x^6-69984*x^5-23328*x^4)*exp(5)+43740*x^9+116640*x^8+116640*x^7+51840*x^6+8640*x^5-2916*x^4-5832*x^3)*ln(3)-2916*x^3*exp(5)^3+(26244*x^6+34992*x^5+11664*x^4)*exp(5)^2+(-43740*x^9-116640*x^8-116640*x^7-51840*x^6-8640*x^5+2916*x^4+5832*x^3)*exp(5)+20412*x^12+81648*x^11+136080*x^10+120960*x^9+60480*x^8+7380*x^7-27368*x^6-27216*x^5-7776*x^4)*exp(x)^2+x^6*exp(x)^8+(-24*x^7-16*x^6)*exp(x)^7+(36*x^5*ln(3)-36*x^5*exp(5)+252*x^8+336*x^7+112*x^6)*exp(x)^6+((-648*x^6-432*x^5)*ln(3)+(648*x^6+432*x^5)*exp(5)-1512*x^9-3024*x^8-2016*x^7-448*x^6)*exp(x)^5+(486*x^4*ln(3)^2+(-972*x^4*exp(5)+4860*x^7+6480*x^6+2160*x^5)*ln(3)+486*x^4*exp(5)^2+(-4860*x^7-6480*x^6-2160*x^5)*exp(5)+5670*x^10+15120*x^9+15120*x^8+6720*x^7+1120*x^6-162*x^5-324*x^4)*exp(x)^4+((-17496*x^4-11664*x^3)*ln(3)^3+((52488*x^4+34992*x^3)*exp(5)-52488*x^7-104976*x^6-69984*x^5-15552*x^4)*ln(3)^2+((-52488*x^4-34992*x^3)*exp(5)^2+(104976*x^7+209952*x^6+139968*x^5+31104*x^4)*exp(5)-52488*x^10-174960*x^9-233280*x^8-155520*x^7-51840*x^6+10584*x^5+46656*x^4+23328*x^3)*ln(3)+(17496*x^4+11664*x^3)*exp(5)^3+(-52488*x^7-104976*x^6-69984*x^5-15552*x^4)*exp(5)^2+(52488*x^10+174960*x^9+233280*x^8+155520*x^7+51840*x^6-10584*x^5-46656*x^4-23328*x^3)*exp(5)-17496*x^13-81648*x^12-163296*x^11-181440*x^10-120960*x^9-30888*x^8+59232*x^7+92288*x^6+51840*x^5+10368*x^4)*exp(x)+(-26244*x^2*exp(5)+26244*x^5+34992*x^4+11664*x^3)*ln(3)^3+(39366*x^2*exp(5)^2+(-78732*x^5-104976*x^4-34992*x^3)*exp(5)+39366*x^8+104976*x^7+104976*x^6+46656*x^5+7776*x^4-13122*x^3-26244*x^2)*ln(3)^2+(-26244*x^2*exp(5)^3+(78732*x^5+104976*x^4+34992*x^3)*exp(5)^2+(-78732*x^8-209952*x^7-209952*x^6-93312*x^5-15552*x^4+26244*x^3+52488*x^2)*exp(5)+26244*x^11+104976*x^10+174960*x^9+155520*x^8+77760*x^7-5508*x^6-85176*x^5-81648*x^4-23328*x^3)*ln(3)+(-26244*x^5-34992*x^4-11664*x^3)*exp(5)^3+(39366*x^8+104976*x^7+104976*x^6+46656*x^5+7776*x^4-13122*x^3-26244*x^2)*exp(5)^2+(-26244*x^11-104976*x^10-174960*x^9-155520*x^8-77760*x^7+5508*x^6+85176*x^5+81648*x^4+23328*x^3)*exp(5)+((-5832*x^5-3888*x^4)*ln(3)^2+((11664*x^5+7776*x^4)*exp(5)-19440*x^8-38880*x^7-25920*x^6-5760*x^5)*ln(3)+(-5832*x^5-3888*x^4)*exp(5)^2+(19440*x^8+38880*x^7+25920*x^6+5760*x^5)*exp(5)-13608*x^11-45360*x^10-60480*x^9-40320*x^8-13440*x^7+152*x^6+5184*x^5+2592*x^4)*exp(x)^3+6561*x^2*ln(3)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{162}{x \left(-162-81 x -12 x^{3} {\mathrm e}^{3 x}+108 x^{2} {\mathrm e}^{5+x}-108 x^{5} {\mathrm e}^{x}+216 x^{2} \ln \left(3\right)+81 \,{\mathrm e}^{10}-72 x \,{\mathrm e}^{5}+81 \ln \left(3\right)^{2}+81 x^{6}+216 x^{5}+216 x^{4}+96 x^{3}+16 x^{2}-8 x^{2} {\mathrm e}^{3 x}+72 \,{\mathrm e}^{2 x} x^{3}-216 x^{2} {\mathrm e}^{5}+24 \,{\mathrm e}^{2 x} x^{2}+162 x^{3} \ln \left(3\right)+72 x \,{\mathrm e}^{5+x}-216 \,{\mathrm e}^{x} x^{4}+72 x \ln \left(3\right)-32 \,{\mathrm e}^{x} x^{2}-144 \,{\mathrm e}^{x} x^{3}-162 x^{3} {\mathrm e}^{5}-108 x^{2} \ln \left(3\right) {\mathrm e}^{x}-72 x \ln \left(3\right) {\mathrm e}^{x}-162 \,{\mathrm e}^{5} \ln \left(3\right)+x^{2} {\mathrm e}^{4 x}+18 \,{\mathrm e}^{2 x} \ln \left(3\right) x -18 x \,{\mathrm e}^{5+2 x}+54 \,{\mathrm e}^{2 x} x^{4}\right)}$&$223$\\ \hline \end{longtable}"," ",0,"-162/x/(-162-81*x-12*x^3*exp(3*x)+108*x^2*exp(5+x)-108*x^5*exp(x)+216*x^2*ln(3)+81*exp(10)-72*x*exp(5)+81*ln(3)^2+81*x^6+216*x^5+216*x^4+96*x^3+16*x^2-8*x^2*exp(3*x)+72*exp(2*x)*x^3-216*x^2*exp(5)+24*exp(2*x)*x^2+162*x^3*ln(3)+72*x*exp(5+x)-216*exp(x)*x^4+72*x*ln(3)-32*exp(x)*x^2-144*exp(x)*x^3-162*x^3*exp(5)-108*x^2*ln(3)*exp(x)-72*x*ln(3)*exp(x)-162*exp(5)*ln(3)+x^2*exp(4*x)+18*exp(2*x)*ln(3)*x-18*x*exp(5+2*x)+54*exp(2*x)*x^4)","B"
9711,1,29,23,0.043000," ","int((4*x^5-54*x^4-82*x^3-245*x^2-168*x+36)/(x^6-10*x^5-17*x^4-77*x^3-87*x^2+36*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)+\ln \left(x^{4}+2 x^{3}+7 x^{2}+7 x -3\right)-\ln \left(x -12\right)$&$29$\\ norman&$\ln \left(x \right)+\ln \left(x^{4}+2 x^{3}+7 x^{2}+7 x -3\right)-\ln \left(x -12\right)$&$29$\\ risch&$-\ln \left(x -12\right)+\ln \left(x^{5}+2 x^{4}+7 x^{3}+7 x^{2}-3 x \right)$&$31$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(x^4+2*x^3+7*x^2+7*x-3)-ln(x-12)","A"
9712,1,21,21,0.086000," ","int((-4*x*ln(x)-10*x^4+140*x^3-601*x^2+16*x-60)/((2*x^3-40*x^2+200*x)*ln(x)^2+(20*x^5-400*x^4+2000*x^3)*ln(x)+50*x^7-1000*x^6+5000*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x -6}{2 \left(x -10\right) \left(5 x^{2}+\ln \left(x \right)\right)}$&$21$\\ norman&$\frac{\frac{x}{2}-3}{5 x^{3}+x \ln \left(x \right)-50 x^{2}-10 \ln \left(x \right)}$&$28$\\ \hline \end{longtable}"," ",0,"1/2*(x-6)/(x-10)/(5*x^2+ln(x))","A"
9713,1,26,26,0.186000," ","int((12*x^4*exp(1/3*x*ln(4/x^2))^2+(x^3*ln(4/x^2)+70*x^3+51*x^2)*exp(1/3*x*ln(4/x^2))+108*x^2+144*x+42)/(12*x^4*exp(1/3*x*ln(4/x^2))^2+(72*x^3+48*x^2)*exp(1/3*x*ln(4/x^2))+108*x^2+144*x+48),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{x}{4 \left(3 x +\left(\frac{4}{x^{2}}\right)^{\frac{x}{3}} x^{2}+2\right)}$&$26$\\ \hline \end{longtable}"," ",0,"x-1/4*x/(3*x+(4/x^2)^(1/3*x)*x^2+2)","A"
9714,1,8,7,0.009000," ","int(900*ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$900 x \ln \left(2\right)^{2}$&$8$\\ norman&$900 x \ln \left(2\right)^{2}$&$8$\\ risch&$900 x \ln \left(2\right)^{2}$&$8$\\ \hline \end{longtable}"," ",0,"900*x*ln(2)^2","A"
9715,1,24,19,0.141000," ","int((-4*ln(2)*ln(3)^2-400*ln(3))/(ln(2)*ln(3)^2-8*x*ln(2)*ln(3)+16*x^2*ln(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{\ln \left(3\right) \left(\ln \left(2\right) \ln \left(3\right)+100\right)}{\ln \left(2\right) \left(\ln \left(3\right)-4 x \right)}$&$24$\\ norman&$-\frac{\ln \left(3\right) \left(\ln \left(2\right) \ln \left(3\right)+100\right)}{\ln \left(2\right) \left(\ln \left(3\right)-4 x \right)}$&$24$\\ default&$-\frac{-4 \ln \left(2\right) \ln \left(3\right)^{2}-400 \ln \left(3\right)}{4 \ln \left(2\right) \left(-\ln \left(3\right)+4 x \right)}$&$30$\\ risch&$-\frac{\ln \left(3\right)^{2}}{\ln \left(3\right)-4 x}-\frac{100 \ln \left(3\right)}{\ln \left(2\right) \left(\ln \left(3\right)-4 x \right)}$&$32$\\ meijerg&$-\frac{4 x}{1-\frac{4 x}{\ln \left(3\right)}}-\frac{400 x}{\ln \left(3\right) \ln \left(2\right) \left(1-\frac{4 x}{\ln \left(3\right)}\right)}$&$38$\\ \hline \end{longtable}"," ",0,"-ln(3)*(ln(2)*ln(3)+100)/ln(2)/(ln(3)-4*x)","A"
9716,1,28,17,0.026000," ","int(2*exp(x)^2+1/20*(-40*x-40)*exp(x)-2*exp(-x)^2+1/20*(-40*x+40)*exp(-x)+2*x+1/20,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{20}+x^{2}+{\mathrm e}^{2 x}+{\mathrm e}^{-2 x}-2 \,{\mathrm e}^{x} x +2 x \,{\mathrm e}^{-x}$&$28$\\ default&$\frac{x}{20}+x^{2}+{\mathrm e}^{2 x}+{\mathrm e}^{-2 x}-2 \,{\mathrm e}^{x} x +2 x \,{\mathrm e}^{-x}$&$30$\\ norman&$\left(1+{\mathrm e}^{4 x}+{\mathrm e}^{2 x} x^{2}+\frac{x \,{\mathrm e}^{2 x}}{20}-2 x \,{\mathrm e}^{3 x}+2 \,{\mathrm e}^{x} x \right) {\mathrm e}^{-2 x}$&$39$\\ \hline \end{longtable}"," ",0,"1/20*x+x^2+exp(2*x)+exp(-2*x)-2*exp(x)*x+2*x*exp(-x)","A"
9717,1,24,22,0.071000," ","int(((ln(14)+I*Pi+2)*exp(2*ln(ln(2))+x)*exp(exp(2*ln(ln(2))+x))+1)/(ln(14)+I*Pi+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{\ln \left(2\right)+\ln \left(7\right)+i \pi +2}+{\mathrm e}^{\ln \left(2\right)^{2} {\mathrm e}^{x}}$&$24$\\ norman&$-\frac{\left(i \pi -\ln \left(14\right)-2\right) x}{\pi^{2}+\ln \left(14\right)^{2}+4 \ln \left(14\right)+4}+{\mathrm e}^{{\mathrm e}^{2 \ln \left(\ln \left(2\right)\right)+x}}$&$39$\\ default&$\frac{x +i \pi  \,{\mathrm e}^{{\mathrm e}^{2 \ln \left(\ln \left(2\right)\right)+x}}+\ln \left(14\right) {\mathrm e}^{{\mathrm e}^{2 \ln \left(\ln \left(2\right)\right)+x}}+2 \,{\mathrm e}^{{\mathrm e}^{2 \ln \left(\ln \left(2\right)\right)+x}}}{\ln \left(14\right)+i \pi +2}$&$50$\\ derivativedivides&$\frac{\ln \left({\mathrm e}^{2 \ln \left(\ln \left(2\right)\right)+x}\right)+\ln \left(14\right) {\mathrm e}^{{\mathrm e}^{2 \ln \left(\ln \left(2\right)\right)+x}}+i \pi  \,{\mathrm e}^{{\mathrm e}^{2 \ln \left(\ln \left(2\right)\right)+x}}+2 \,{\mathrm e}^{{\mathrm e}^{2 \ln \left(\ln \left(2\right)\right)+x}}}{\ln \left(14\right)+i \pi +2}$&$58$\\ \hline \end{longtable}"," ",0,"1/(ln(2)+ln(7)+I*Pi+2)*x+exp(ln(2)^2*exp(x))","A"
9718,1,20,19,0.056000," ","int((((-10*x-50)*exp(2*x)-5*x-25)*exp(exp(2*x)+x)-5)*exp(5/ln(exp(exp(2*x)+x)+ln(5+x)-4))/((5+x)*exp(exp(2*x)+x)+(5+x)*ln(5+x)-4*x-20)/ln(exp(exp(2*x)+x)+ln(5+x)-4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{5}{\ln \left({\mathrm e}^{{\mathrm e}^{2 x}+x}+\ln \left(5+x \right)-4\right)}}$&$20$\\ \hline \end{longtable}"," ",0,"exp(5/ln(exp(exp(2*x)+x)+ln(5+x)-4))","A"
9719,1,19,17,0.084000," ","int((2*ln(1/5*(-4*x-80)*ln(5))+20+x)/(9*x+180),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{9}+\frac{\ln \left(\frac{\left(-4 x -80\right) \ln \left(5\right)}{5}\right)^{2}}{9}$&$19$\\ risch&$\frac{x}{9}+\frac{\ln \left(\frac{\left(-4 x -80\right) \ln \left(5\right)}{5}\right)^{2}}{9}$&$19$\\ derivativedivides&$-\frac{-4 \ln \left(5\right) \ln \left(-\frac{4 x \ln \left(5\right)}{5}-16 \ln \left(5\right)\right)^{2}-4 x \ln \left(5\right)-80 \ln \left(5\right)}{36 \ln \left(5\right)}$&$34$\\ default&$-\frac{-4 \ln \left(5\right) \ln \left(-\frac{4 x \ln \left(5\right)}{5}-16 \ln \left(5\right)\right)^{2}-4 x \ln \left(5\right)-80 \ln \left(5\right)}{36 \ln \left(5\right)}$&$34$\\ \hline \end{longtable}"," ",0,"1/9*x+1/9*ln(1/5*(-4*x-80)*ln(5))^2","A"
9720,1,13,14,0.037000," ","int(-16*ln(-4*ln(2))/(3*x^3-9*x^2+9*x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{8 \ln \left(-4 \ln \left(2\right)\right)}{3 \left(x -1\right)^{2}}$&$13$\\ gosper&$\frac{8 \ln \left(-4 \ln \left(2\right)\right)}{3 \left(x^{2}-2 x +1\right)}$&$18$\\ norman&$\frac{\frac{16 \ln \left(2\right)}{3}+\frac{8 \ln \left(\ln \left(2\right)\right)}{3}+\frac{8 i \pi}{3}}{\left(x -1\right)^{2}}$&$21$\\ risch&$\frac{16 \ln \left(2\right)}{3 \left(x^{2}-2 x +1\right)}+\frac{8 \ln \left(\ln \left(2\right)\right)}{3 \left(x^{2}-2 x +1\right)}+\frac{8 i \pi}{3 \left(x^{2}-2 x +1\right)}$&$45$\\ \hline \end{longtable}"," ",0,"8/3*ln(-4*ln(2))/(x-1)^2","A"
9721,1,73,34,0.052000," ","int(2*ln(2*ln(2))+18*x^17+60*x^14+56*x^13+72*x^11+154*x^10+60*x^9+36*x^8+128*x^7+112*x^6+30*x^5+30*x^4+44*x^3+18*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x \ln \left(2 \ln \left(2\right)\right)+x^{18}+4 x^{15}+4 x^{14}+6 x^{12}+14 x^{11}+6 x^{10}+4 x^{9}+16 x^{8}+16 x^{7}+5 x^{6}+6 x^{5}+11 x^{4}+6 x^{3}$&$73$\\ gosper&$x \left(x^{17}+4 x^{14}+4 x^{13}+6 x^{11}+14 x^{10}+6 x^{9}+4 x^{8}+16 x^{7}+16 x^{6}+5 x^{5}+6 x^{4}+11 x^{3}+6 x^{2}+2 \ln \left(2 \ln \left(2\right)\right)\right)$&$74$\\ risch&$x^{18}+4 x^{15}+4 x^{14}+6 x^{12}+14 x^{11}+6 x^{10}+4 x^{9}+16 x^{8}+16 x^{7}+5 x^{6}+6 x^{5}+11 x^{4}+6 x^{3}+2 x \ln \left(2\right)+2 x \ln \left(\ln \left(2\right)\right)$&$76$\\ norman&$x^{18}+\left(2 \ln \left(2\right)+2 \ln \left(\ln \left(2\right)\right)\right) x +6 x^{3}+11 x^{4}+6 x^{5}+5 x^{6}+16 x^{7}+16 x^{8}+4 x^{9}+6 x^{10}+14 x^{11}+6 x^{12}+4 x^{14}+4 x^{15}$&$77$\\ \hline \end{longtable}"," ",0,"2*x*ln(2*ln(2))+x^18+4*x^15+4*x^14+6*x^12+14*x^11+6*x^10+4*x^9+16*x^8+16*x^7+5*x^6+6*x^5+11*x^4+6*x^3","B"
9722,1,37,26,0.046000," ","int(2*(2*ln(2)+I*Pi)^2*ln(4*exp(x))+2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(4 i \pi  \ln \left(2\right)-\pi^{2}+4 \ln \left(2\right)^{2}-1\right) \ln \left(4 \,{\mathrm e}^{x}\right)^{2}+2 x \ln \left(4 \,{\mathrm e}^{x}\right)$&$37$\\ default&$x^{2}-\pi^{2} \ln \left(4 \,{\mathrm e}^{x}\right)^{2}+4 i \pi  \ln \left(2\right) \ln \left(4 \,{\mathrm e}^{x}\right)^{2}+4 \ln \left(2\right)^{2} \ln \left(4 \,{\mathrm e}^{x}\right)^{2}$&$43$\\ risch&$2 \left(2 \ln \left(2\right)+i \pi \right)^{2} x \ln \left({\mathrm e}^{x}\right)-4 \pi^{2} \ln \left(2\right) x +16 i \pi  \ln \left(2\right)^{2} x +16 x \ln \left(2\right)^{3}+\pi^{2} x^{2}-4 i \pi  \ln \left(2\right) x^{2}-4 x^{2} \ln \left(2\right)^{2}+x^{2}$&$71$\\ \hline \end{longtable}"," ",0,"(4*I*Pi*ln(2)-Pi^2+4*ln(2)^2-1)*ln(4*exp(x))^2+2*x*ln(4*exp(x))","A"
9723,1,57,24,0.379000," ","int(((200*x-100)*exp(1/4)*exp(exp(1/4)*ln(-x^2+x))^4+(2400*x-1200)*exp(1/4)*exp(exp(1/4)*ln(-x^2+x))^3+(9480*x-4740)*exp(1/4)*exp(exp(1/4)*ln(-x^2+x))^2+(12320*x-6160)*exp(1/4)*exp(exp(1/4)*ln(-x^2+x))+x^2-x)/(x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$25 \left(-x^{2}+x \right)^{4 \,{\mathrm e}^{\frac{1}{4}}}+400 \left(-x^{2}+x \right)^{3 \,{\mathrm e}^{\frac{1}{4}}}+2370 \left(-x^{2}+x \right)^{2 \,{\mathrm e}^{\frac{1}{4}}}+x +6160 \left(-x^{2}+x \right)^{{\mathrm e}^{\frac{1}{4}}}$&$57$\\ \hline \end{longtable}"," ",0,"25*((-x^2+x)^exp(1/4))^4+400*((-x^2+x)^exp(1/4))^3+2370*((-x^2+x)^exp(1/4))^2+x+6160*(-x^2+x)^exp(1/4)","B"
9724,1,28,23,0.027000," ","int((-2*ln(x)*ln(ln(x))+(2*x^4+x^3+x^2)*ln(x)+1)/(x*ln(x)*ln(ln(x))+x^3*ln(x)^2+(x^5+x^4-6*x^3)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(x \right)+\ln \left(x^{4}+x^{2} \ln \left(x \right)+x^{3}-6 x^{2}+\ln \left(\ln \left(x \right)\right)\right)$&$28$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+ln(x^4+x^2*ln(x)+x^3-6*x^2+ln(ln(x)))","A"
9725,1,23,22,0.341000," ","int(((2*x-5)*ln(2*x-5)-x)/((4*x^2-10*x)*ln(2*x-5)*ln(-8/5*x^2/ln(2*x-5))+(8*x^2-20*x)*ln(5)*ln(2*x-5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\ln \left(2 \ln \left(5\right)+\ln \left(-\frac{8 x^{2}}{5 \ln \left(2 x -5\right)}\right)\right)}{4}$&$23$\\ risch&$\frac{\ln \left(\ln \left(\ln \left(2 x -5\right)\right)+\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i}{\ln \left(2 x -5\right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(2 x -5\right)}\right)-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(2 x -5\right)}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(2 x -5\right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\ln \left(2 x -5\right)}\right) \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(2 x -5\right)}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i x^{2}}{\ln \left(2 x -5\right)}\right)^{3}+6 i \ln \left(2\right)+2 i \ln \left(5\right)+4 i \ln \left(x \right)-2 \pi \right)}{2}\right)}{4}$&$213$\\ \hline \end{longtable}"," ",0,"1/4*ln(2*ln(5)+ln(-8/5*x^2/ln(2*x-5)))","A"
9726,1,71,22,1.156000," ","int(((-4*x*exp(x)^2-exp(x)*x)*ln(x^2)+16*x*exp(x)^2+(4*x+4)*exp(x))*exp(4*exp(x))*exp(exp(x)*exp(4*exp(x))/(ln(x^2)^2-8*ln(x^2)+16))*exp(exp(exp(x)*exp(4*exp(x))/(ln(x^2)^2-8*ln(x^2)+16)))/(x*ln(x^2)^3-12*x*ln(x^2)^2+48*x*ln(x^2)-64*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{{\mathrm e}^{\frac{4 \,{\mathrm e}^{4 \,{\mathrm e}^{x}+x}}{\left(-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+4 \ln \left(x \right)-8\right)^{2}}}}$&$71$\\ \hline \end{longtable}"," ",0,"-exp(exp(4*exp(4*exp(x)+x)/(-I*Pi*csgn(I*x^2)^3+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x)^2*csgn(I*x^2)+4*ln(x)-8)^2))","C"
9727,1,39,28,0.108000," ","int(((((-x^3-x^2)*exp(5)*exp(x)+(2*x^2+2*x)*exp(5))*exp(2*x)+(x^2+x)*exp(5)*exp(x)-exp(5))*ln(x)+((x^6+x^5)*exp(x)+x^4)*exp(2*x)^2+((-2*x^5-2*x^4)*exp(x)-x*exp(5)-2*x^3)*exp(2*x)+(x^4+x^3)*exp(x)+x^2+exp(5))*exp(exp(x)*x)/(x^4*exp(2*x)^2-2*exp(2*x)*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(-{\mathrm e}^{2 x} x^{3}+{\mathrm e}^{5} \ln \left(x \right)+x^{2}\right) {\mathrm e}^{{\mathrm e}^{x} x}}{x \left(x \,{\mathrm e}^{2 x}-1\right)}$&$39$\\ \hline \end{longtable}"," ",0,"-(-exp(2*x)*x^3+exp(5)*ln(x)+x^2)/x/(x*exp(2*x)-1)*exp(exp(x)*x)","A"
9728,1,130,31,0.385000," ","int((((-15*exp(15/x)*ln(1/exp(x)/x)+x^2+x)*exp(ln(ln(1/exp(x)/x))-exp(15/x))+x*ln(1/exp(x)/x))*exp(exp(ln(ln(1/exp(x)/x))-exp(15/x)))+2*x^4*ln(1/exp(x)/x))*exp((-exp(exp(ln(ln(1/exp(x)/x))-exp(15/x)))+x^3)/x)/x^3/ln(1/exp(x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-{\mathrm e}^{-\frac{\left(i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{x}\right)^{3}-i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{x}\right)^{2} \mathrm{csgn}\left(\frac{i}{x}\right)-i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{-x}}{x}\right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)+2 \ln \left(x \right)+2 \ln \left({\mathrm e}^{x}\right)\right) {\mathrm e}^{-{\mathrm e}^{\frac{15}{x}}}}{2}}+x^{3}}{x}}$&$130$\\ \hline \end{longtable}"," ",0,"exp((-exp(-1/2*(I*Pi*csgn(I/x*exp(-x))^3-I*Pi*csgn(I/x*exp(-x))^2*csgn(I/x)-I*Pi*csgn(I/x*exp(-x))^2*csgn(I*exp(-x))+I*Pi*csgn(I/x*exp(-x))*csgn(I/x)*csgn(I*exp(-x))+2*ln(x)+2*ln(exp(x)))*exp(-exp(15/x)))+x^3)/x)","C"
9729,1,47,34,0.523000," ","int(((-4*x^3-2*x^2+4*x)*ln(2)^3*ln(2/(2*x^2+x-2))^2+(8*x^3+2*x^2)*ln(2)^3*ln(2/(2*x^2+x-2)))/((2*x^5+x^4-2*x^3)*ln(2/(2*x^2+x-2))^3+(-6*x^4-3*x^3+6*x^2)*ln(2)*ln(2/(2*x^2+x-2))^2+(6*x^3+3*x^2-6*x)*ln(2)^2*ln(2/(2*x^2+x-2))+(-2*x^2-x+2)*ln(2)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(-2 x \ln \left(\frac{2}{2 x^{2}+x -2}\right)+\ln \left(2\right)\right) \ln \left(2\right)^{3}}{\left(-x \ln \left(\frac{2}{2 x^{2}+x -2}\right)+\ln \left(2\right)\right)^{2}}$&$47$\\ norman&$\frac{2 \ln \left(2\right)^{3} x \ln \left(\frac{2}{2 x^{2}+x -2}\right)-\ln \left(2\right)^{4}}{\left(-x \ln \left(\frac{2}{2 x^{2}+x -2}\right)+\ln \left(2\right)\right)^{2}}$&$50$\\ \hline \end{longtable}"," ",0,"-(-2*x*ln(2/(2*x^2+x-2))+ln(2))*ln(2)^3/(-x*ln(2/(2*x^2+x-2))+ln(2))^2","A"
9730,1,45,23,8.263000," ","int((-48*x^8-2304*x^7-55300*x^6-786624*x^5-7081471*x^4-37765136*x^3-100467072*x^2+3145728*x+8388608)*exp((-16*x^7-512*x^6-8196*x^5-65536*x^4-261121*x^3+16384*x^2+65536*x)/(4*x^4+128*x^3+2048*x^2+16384*x+65536))/(4*x^6+192*x^5+4608*x^4+65536*x^3+589824*x^2+3145728*x+8388608),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{x \left(4 x^{3}+62 x^{2}+481 x -256\right) \left(4 x^{3}+66 x^{2}+545 x +256\right)}{4 \left(x^{2}+16 x +128\right)^{2}}}$&$45$\\ gosper&${\mathrm e}^{-\frac{x \left(16 x^{6}+512 x^{5}+8196 x^{4}+65536 x^{3}+261121 x^{2}-16384 x -65536\right)}{4 \left(x^{4}+32 x^{3}+512 x^{2}+4096 x +16384\right)}}$&$55$\\ norman&$\frac{x^{4} {\mathrm e}^{\frac{-16 x^{7}-512 x^{6}-8196 x^{5}-65536 x^{4}-261121 x^{3}+16384 x^{2}+65536 x}{4 x^{4}+128 x^{3}+2048 x^{2}+16384 x +65536}}+4096 x \,{\mathrm e}^{\frac{-16 x^{7}-512 x^{6}-8196 x^{5}-65536 x^{4}-261121 x^{3}+16384 x^{2}+65536 x}{4 x^{4}+128 x^{3}+2048 x^{2}+16384 x +65536}}+512 x^{2} {\mathrm e}^{\frac{-16 x^{7}-512 x^{6}-8196 x^{5}-65536 x^{4}-261121 x^{3}+16384 x^{2}+65536 x}{4 x^{4}+128 x^{3}+2048 x^{2}+16384 x +65536}}+32 x^{3} {\mathrm e}^{\frac{-16 x^{7}-512 x^{6}-8196 x^{5}-65536 x^{4}-261121 x^{3}+16384 x^{2}+65536 x}{4 x^{4}+128 x^{3}+2048 x^{2}+16384 x +65536}}+16384 \,{\mathrm e}^{\frac{-16 x^{7}-512 x^{6}-8196 x^{5}-65536 x^{4}-261121 x^{3}+16384 x^{2}+65536 x}{4 x^{4}+128 x^{3}+2048 x^{2}+16384 x +65536}}}{\left(x^{2}+16 x +128\right)^{2}}$&$322$\\ \hline \end{longtable}"," ",0,"exp(-1/4*x*(4*x^3+62*x^2+481*x-256)*(4*x^3+66*x^2+545*x+256)/(x^2+16*x+128)^2)","A"
9731,1,30,28,0.062000," ","int((((2*x^2-8*x+8)*ln(x)+x^3-4*x^2+4*x)*exp((ln(x)-9)/(x^2-2*x))^2+((-4*x^3+16*x^2-14*x-2)*ln(x)-2*x^4+9*x^3-12*x^2-15*x+20)*exp((ln(x)-9)/(x^2-2*x))+(2*x^4-8*x^3+8*x^2)*ln(x)+x^5-4*x^4+4*x^3)/((x^3-4*x^2+4*x)*exp((ln(x)-9)/(x^2-2*x))^2+(-2*x^4+8*x^3-8*x^2)*exp((ln(x)-9)/(x^2-2*x))+x^5-4*x^4+4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)^{2}+x -\frac{x}{x -{\mathrm e}^{\frac{\ln \left(x \right)-9}{\left(x -2\right) x}}}$&$30$\\ \hline \end{longtable}"," ",0,"ln(x)^2+x-x/(x-exp((ln(x)-9)/(x-2)/x))","A"
9732,1,259,26,0.140000," ","int((-10*ln(x)*ln(ln(x)^2)^2+(4*x^2*ln(x)+16)*ln(ln(x)^2)+(-2*x^2*exp(4)+6*x^4)*ln(x)-16*x^2)/(x*ln(x)*ln(ln(x)^2)^2-2*x^3*ln(x)*ln(ln(x)^2)+(x^3*exp(4)+x^5)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-10 \ln \left(x \right)+4 \ln \left(-\frac{\pi^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{4} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}}{16}+\frac{\pi^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{3} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}}{4}-\frac{3 \pi^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{4}}{8}+\frac{\pi^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{5}}{4}-\frac{\pi^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{6}}{16}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)}{4}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}}{4}+\frac{x^{4}}{4}+\frac{x^{2} {\mathrm e}^{4}}{4}+\ln \left(\ln \left(x \right)\right)^{2}+\left(-\frac{i \pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)}{2}+i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}-\frac{i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}}{2}-x^{2}\right) \ln \left(\ln \left(x \right)\right)\right)$&$259$\\ \hline \end{longtable}"," ",0,"-10*ln(x)+4*ln(-1/16*Pi^2*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2+1/4*Pi^2*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3-3/8*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4+1/4*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^5-1/16*Pi^2*csgn(I*ln(x)^2)^6+1/4*I*Pi*x^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-1/2*I*Pi*x^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+1/4*I*Pi*x^2*csgn(I*ln(x)^2)^3+1/4*x^4+1/4*x^2*exp(4)+ln(ln(x))^2+(-1/2*I*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+I*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-1/2*I*Pi*csgn(I*ln(x)^2)^3-x^2)*ln(ln(x)))","C"
9733,1,14,17,0.054000," ","int((-24*x^3*exp(3)^4*exp(-x^3)^2+exp(3)^4)*exp(exp(-x^3)^2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{4 \,{\mathrm e}^{-2 x^{3}}+12}$&$14$\\ \hline \end{longtable}"," ",0,"x*exp(4*exp(-2*x^3)+12)","A"
9734,1,11,11,0.015000," ","int(-32/9*x*exp(16/9*x^2)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{\frac{16 x^{2}}{9}}$&$11$\\ norman&$x -{\mathrm e}^{\frac{16 x^{2}}{9}}$&$11$\\ risch&$x -{\mathrm e}^{\frac{16 x^{2}}{9}}$&$11$\\ \hline \end{longtable}"," ",0,"x-exp(16/9*x^2)","A"
9735,1,928,25,0.184000," ","int(((97656250000*x+927734375000)*ln(3-x)^7+((-27343750000*x-259765625000)*exp(2)+54687500000*x^2+628906250000*x+1039062500000)*ln(3-x)^6+((3281250000*x+31171875000)*exp(2)^2+(-13125000000*x^2-150937500000*x-249375000000)*exp(2)+13125000000*x^3+177187500000*x^2+492656250000*x-57890625000)*ln(3-x)^5+((-218750000*x-2078125000)*exp(2)^3+(1312500000*x^2+15093750000*x+24937500000)*exp(2)^2+(-2625000000*x^3-35437500000*x^2-98531250000*x+11578125000)*exp(2)+1750000000*x^4+27125000000*x^3+97312500000*x^2-56031250000*x-312312500000)*ln(3-x)^4+((8750000*x+83125000)*exp(2)^4+(-70000000*x^2-805000000*x-1330000000)*exp(2)^3+(210000000*x^3+2835000000*x^2+7882500000*x-926250000)*exp(2)^2+(-280000000*x^4-4340000000*x^3-15570000000*x^2+8965000000*x+49970000000)*exp(2)+140000000*x^5+2450000000*x^4+10250000000*x^3-14225000000*x^2-100981250000*x-9891875000)*ln(3-x)^3+((-210000*x-1995000)*exp(2)^5+(2100000*x^2+24150000*x+39900000)*exp(2)^4+(-8400000*x^3-113400000*x^2-315300000*x+37050000)*exp(2)^3+(16800000*x^4+260400000*x^3+934200000*x^2-537900000*x-2998200000)*exp(2)^2+(-16800000*x^5-294000000*x^4-1230000000*x^3+1707000000*x^2+12117750000*x+1187025000)*exp(2)+6720000*x^6+131040000*x^5+607200000*x^4-1558800000*x^3-12242700000*x^2+1065990000*x+32680380000)*ln(3-x)^2+((2800*x+26600)*exp(2)^6+(-33600*x^2-386400*x-638400)*exp(2)^5+(168000*x^3+2268000*x^2+6306000*x-741000)*exp(2)^4+(-448000*x^4-6944000*x^3-24912000*x^2+14344000*x+79952000)*exp(2)^3+(672000*x^5+11760000*x^4+49200000*x^3-68280000*x^2-484710000*x-47481000)*exp(2)^2+(-537600*x^6-10483200*x^5-48576000*x^4+124704000*x^3+979416000*x^2-85279200*x-2614430400)*exp(2)+179200*x^7+3852800*x^6+19180800*x^5-79184000*x^4-659608000*x^3+360482400*x^2+5167079600*x-586921400)*ln(3-x)+(-16*x-152)*exp(2)^7+(224*x^2+2576*x+4256)*exp(2)^6+(-1344*x^3-18144*x^2-50448*x+5928)*exp(2)^5+(4480*x^4+69440*x^3+249120*x^2-143440*x-799520)*exp(2)^4+(-8960*x^5-156800*x^4-656000*x^3+910400*x^2+6462800*x+633080)*exp(2)^3+(10752*x^6+209664*x^5+971520*x^4-2494080*x^3-19588320*x^2+1705584*x+52288608)*exp(2)^2+(-7168*x^7-154112*x^6-767232*x^5+3167360*x^4+26384320*x^3-14419296*x^2-206683184*x+23476856)*exp(2)+2048*x^8+48128*x^7+252416*x^6-1536256*x^5-13325440*x^4+16951616*x^3+204211936*x^2-129835568*x-787377632)/(390625*x-1171875),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{82881856 x}{390625}+\frac{2471248 \,{\mathrm e}^{2} x}{390625}+\frac{9984 \,{\mathrm e}^{2} x^{5}}{390625}+\frac{624 x \,{\mathrm e}^{10}}{390625}-\frac{16832 x \,{\mathrm e}^{8}}{78125}+\frac{67328 x^{2} {\mathrm e}^{6}}{78125}+\frac{1664 x^{3} {\mathrm e}^{6}}{78125}-\frac{41440928 \ln \left(x -3\right)}{15625}-\frac{624 x^{2} {\mathrm e}^{8}}{78125}+\frac{5504064 x \,{\mathrm e}^{4}}{390625}+\frac{4096 x^{7}}{390625}+\frac{256 x^{8}}{390625}-\frac{3328 x^{6}}{390625}-\frac{269312 x^{5}}{390625}-\frac{26656 x^{4}}{78125}+\frac{7338752 x^{3}}{390625}-\frac{2471248 x^{2}}{390625}-\frac{14336 x^{6} {\mathrm e}^{2}}{390625}-\frac{134656 x^{3} {\mathrm e}^{4}}{78125}-\frac{39984 x^{2} {\mathrm e}^{4}}{78125}+\frac{13328 x \,{\mathrm e}^{6}}{78125}+\frac{53312 x^{3} {\mathrm e}^{2}}{78125}-\frac{11008128 x^{2} {\mathrm e}^{2}}{390625}+\frac{134656 x^{4} {\mathrm e}^{2}}{78125}+\frac{448 x \,{\mathrm e}^{12}}{390625}-\frac{2688 x^{2} {\mathrm e}^{10}}{390625}-\frac{448 x^{3} {\mathrm e}^{10}}{390625}-\frac{2496 x^{4} {\mathrm e}^{4}}{78125}+\frac{21504 x^{5} {\mathrm e}^{4}}{390625}+\frac{1792 x^{6} {\mathrm e}^{4}}{390625}+\left(70 \,{\mathrm e}^{8}-560 x \,{\mathrm e}^{6}+1680 x^{2} {\mathrm e}^{4}-2240 x^{3} {\mathrm e}^{2}+1120 x^{4}-1120 \,{\mathrm e}^{6}+6720 x \,{\mathrm e}^{4}-13440 x^{2} {\mathrm e}^{2}+8960 x^{3}-780 \,{\mathrm e}^{4}+3120 \,{\mathrm e}^{2} x -3120 x^{2}+42080 \,{\mathrm e}^{2}-84160 x -8330\right) \ln \left(3-x \right)^{4}-\frac{1024 \,{\mathrm e}^{2} x^{7}}{390625}+\left(\frac{5504064 x}{625}+\frac{39984 \,{\mathrm e}^{2} x}{125}-\frac{5376 \,{\mathrm e}^{2} x^{5}}{625}-\frac{336 x \,{\mathrm e}^{10}}{625}+\frac{1344 x \,{\mathrm e}^{8}}{125}-\frac{5376 x^{2} {\mathrm e}^{6}}{125}-\frac{896 x^{3} {\mathrm e}^{6}}{125}-\frac{156 \,{\mathrm e}^{8}}{125}+\frac{336 x^{2} {\mathrm e}^{8}}{125}-\frac{100992 x \,{\mathrm e}^{4}}{125}-\frac{672 \,{\mathrm e}^{10}}{625}+\frac{16832 \,{\mathrm e}^{6}}{125}-\frac{9996 \,{\mathrm e}^{4}}{125}-\frac{2752032 \,{\mathrm e}^{2}}{625}+\frac{1792 x^{6}}{625}+\frac{21504 x^{5}}{625}-\frac{2496 x^{4}}{125}-\frac{134656 x^{3}}{125}-\frac{39984 x^{2}}{125}+\frac{10752 x^{3} {\mathrm e}^{4}}{125}-\frac{3744 x^{2} {\mathrm e}^{4}}{125}+\frac{1248 x \,{\mathrm e}^{6}}{125}+\frac{4992 x^{3} {\mathrm e}^{2}}{125}+\frac{201984 x^{2} {\mathrm e}^{2}}{125}-\frac{10752 x^{4} {\mathrm e}^{2}}{125}+\frac{28 \,{\mathrm e}^{12}}{625}+\frac{1344 x^{4} {\mathrm e}^{4}}{125}-\frac{617812}{625}\right) \ln \left(3-x \right)^{2}+\frac{112 x^{2} {\mathrm e}^{12}}{390625}+\left(17500 \,{\mathrm e}^{4}-70000 \,{\mathrm e}^{2} x +70000 x^{2}-140000 \,{\mathrm e}^{2}+280000 x -32500\right) \ln \left(3-x \right)^{6}+\left(-1400 \,{\mathrm e}^{6}+8400 x \,{\mathrm e}^{4}-16800 x^{2} {\mathrm e}^{2}+11200 x^{3}+16800 \,{\mathrm e}^{4}-67200 \,{\mathrm e}^{2} x +67200 x^{2}+7800 \,{\mathrm e}^{2}-15600 x -210400\right) \ln \left(3-x \right)^{5}+\left(-\frac{2471248 x}{15625}-\frac{11008128 \,{\mathrm e}^{2} x}{15625}-\frac{43008 \,{\mathrm e}^{2} x^{5}}{15625}-\frac{2688 x \,{\mathrm e}^{10}}{15625}-\frac{624 x \,{\mathrm e}^{8}}{3125}+\frac{2496 x^{2} {\mathrm e}^{6}}{3125}-\frac{7168 x^{3} {\mathrm e}^{6}}{3125}+\frac{2688 x^{2} {\mathrm e}^{8}}{3125}-\frac{39984 x \,{\mathrm e}^{4}}{3125}+\frac{1024 x^{7}}{15625}+\frac{14336 x^{6}}{15625}-\frac{9984 x^{5}}{15625}-\frac{134656 x^{4}}{3125}-\frac{53312 x^{3}}{3125}+\frac{11008128 x^{2}}{15625}-\frac{3584 x^{6} {\mathrm e}^{2}}{15625}-\frac{4992 x^{3} {\mathrm e}^{4}}{3125}-\frac{201984 x^{2} {\mathrm e}^{4}}{3125}+\frac{67328 x \,{\mathrm e}^{6}}{3125}+\frac{269312 x^{3} {\mathrm e}^{2}}{3125}+\frac{79968 x^{2} {\mathrm e}^{2}}{3125}+\frac{4992 x^{4} {\mathrm e}^{2}}{3125}+\frac{112 x \,{\mathrm e}^{12}}{15625}-\frac{672 x^{2} {\mathrm e}^{10}}{15625}+\frac{10752 x^{4} {\mathrm e}^{4}}{3125}+\frac{5376 x^{5} {\mathrm e}^{4}}{15625}-\frac{896 x^{4} {\mathrm e}^{6}}{3125}+\frac{448 x^{3} {\mathrm e}^{8}}{3125}\right) \ln \left(3-x \right)-\frac{16 x \,{\mathrm e}^{14}}{390625}-\frac{8 \ln \left(x -3\right) {\mathrm e}^{14}}{15625}+\frac{224 \ln \left(x -3\right) {\mathrm e}^{12}}{15625}-\frac{3584 x^{4} {\mathrm e}^{6}}{78125}+\frac{312 \ln \left(x -3\right) {\mathrm e}^{10}}{15625}-\frac{8416 \ln \left(x -3\right) {\mathrm e}^{8}}{3125}+\frac{6664 \ln \left(x -3\right) {\mathrm e}^{6}}{3125}+\frac{2752032 \ln \left(x -3\right) {\mathrm e}^{4}}{15625}+\frac{1235624 \ln \left(x -3\right) {\mathrm e}^{2}}{15625}+\left(250000 x -125000 \,{\mathrm e}^{2}+500000\right) \ln \left(3-x \right)^{7}+\left(\frac{112 x \,{\mathrm e}^{8}}{5}-\frac{448 x^{2} {\mathrm e}^{6}}{5}+\frac{896 x^{3} {\mathrm e}^{4}}{5}-\frac{896 x^{4} {\mathrm e}^{2}}{5}+\frac{1792 x^{5}}{25}-\frac{1792 x \,{\mathrm e}^{6}}{5}+\frac{5376 x^{2} {\mathrm e}^{4}}{5}-\frac{7168 x^{3} {\mathrm e}^{2}}{5}+\frac{3584 x^{4}}{5}-\frac{1248 x \,{\mathrm e}^{4}}{5}+\frac{2496 x^{2} {\mathrm e}^{2}}{5}-\frac{1664 x^{3}}{5}+\frac{67328 \,{\mathrm e}^{2} x}{5}-\frac{67328 x^{2}}{5}-\frac{13328 x}{5}+\frac{917344}{25}-\frac{56 \,{\mathrm e}^{10}}{25}+\frac{224 \,{\mathrm e}^{8}}{5}+\frac{208 \,{\mathrm e}^{6}}{5}-\frac{16832 \,{\mathrm e}^{4}}{5}+\frac{6664 \,{\mathrm e}^{2}}{5}\right) \ln \left(3-x \right)^{3}+\frac{224 x^{4} {\mathrm e}^{8}}{78125}+\frac{1792 x^{3} {\mathrm e}^{8}}{78125}-\frac{1792 \,{\mathrm e}^{6} x^{5}}{390625}+390625 \ln \left(3-x \right)^{8}$&$928$\\ derivativedivides&$\text{Expression too large to display}$&$3929$\\ default&$\text{Expression too large to display}$&$3929$\\ \hline \end{longtable}"," ",0,"-82881856/390625*x+2471248/390625*exp(2)*x+9984/390625*exp(2)*x^5+624/390625*x*exp(10)-16832/78125*x*exp(8)+67328/78125*x^2*exp(6)+1664/78125*x^3*exp(6)-41440928/15625*ln(x-3)-624/78125*x^2*exp(8)+5504064/390625*x*exp(4)+4096/390625*x^7+256/390625*x^8-3328/390625*x^6-269312/390625*x^5-26656/78125*x^4+7338752/390625*x^3-2471248/390625*x^2-14336/390625*x^6*exp(2)-134656/78125*x^3*exp(4)-39984/78125*x^2*exp(4)+13328/78125*x*exp(6)+53312/78125*x^3*exp(2)-11008128/390625*x^2*exp(2)+134656/78125*x^4*exp(2)+448/390625*x*exp(12)-2688/390625*x^2*exp(10)-448/390625*x^3*exp(10)-2496/78125*x^4*exp(4)+21504/390625*x^5*exp(4)+1792/390625*x^6*exp(4)+(70*exp(8)-560*x*exp(6)+1680*x^2*exp(4)-2240*x^3*exp(2)+1120*x^4-1120*exp(6)+6720*x*exp(4)-13440*x^2*exp(2)+8960*x^3-780*exp(4)+3120*exp(2)*x-3120*x^2+42080*exp(2)-84160*x-8330)*ln(3-x)^4-1024/390625*exp(2)*x^7+(5504064/625*x+39984/125*exp(2)*x-5376/625*exp(2)*x^5-336/625*x*exp(10)+1344/125*x*exp(8)-5376/125*x^2*exp(6)-896/125*x^3*exp(6)-156/125*exp(8)+336/125*x^2*exp(8)-100992/125*x*exp(4)-672/625*exp(10)+16832/125*exp(6)-9996/125*exp(4)-2752032/625*exp(2)+1792/625*x^6+21504/625*x^5-2496/125*x^4-134656/125*x^3-39984/125*x^2+10752/125*x^3*exp(4)-3744/125*x^2*exp(4)+1248/125*x*exp(6)+4992/125*x^3*exp(2)+201984/125*x^2*exp(2)-10752/125*x^4*exp(2)+28/625*exp(12)+1344/125*x^4*exp(4)-617812/625)*ln(3-x)^2+112/390625*x^2*exp(12)+(17500*exp(4)-70000*exp(2)*x+70000*x^2-140000*exp(2)+280000*x-32500)*ln(3-x)^6+(-1400*exp(6)+8400*x*exp(4)-16800*x^2*exp(2)+11200*x^3+16800*exp(4)-67200*exp(2)*x+67200*x^2+7800*exp(2)-15600*x-210400)*ln(3-x)^5+(-2471248/15625*x-11008128/15625*exp(2)*x-43008/15625*exp(2)*x^5-2688/15625*x*exp(10)-624/3125*x*exp(8)+2496/3125*x^2*exp(6)-7168/3125*x^3*exp(6)+2688/3125*x^2*exp(8)-39984/3125*x*exp(4)+1024/15625*x^7+14336/15625*x^6-9984/15625*x^5-134656/3125*x^4-53312/3125*x^3+11008128/15625*x^2-3584/15625*x^6*exp(2)-4992/3125*x^3*exp(4)-201984/3125*x^2*exp(4)+67328/3125*x*exp(6)+269312/3125*x^3*exp(2)+79968/3125*x^2*exp(2)+4992/3125*x^4*exp(2)+112/15625*x*exp(12)-672/15625*x^2*exp(10)+10752/3125*x^4*exp(4)+5376/15625*x^5*exp(4)-896/3125*x^4*exp(6)+448/3125*x^3*exp(8))*ln(3-x)-16/390625*x*exp(14)-8/15625*ln(x-3)*exp(14)+224/15625*ln(x-3)*exp(12)-3584/78125*x^4*exp(6)+312/15625*ln(x-3)*exp(10)-8416/3125*ln(x-3)*exp(8)+6664/3125*ln(x-3)*exp(6)+2752032/15625*ln(x-3)*exp(4)+1235624/15625*ln(x-3)*exp(2)+(250000*x-125000*exp(2)+500000)*ln(3-x)^7+(112/5*x*exp(8)-448/5*x^2*exp(6)+896/5*x^3*exp(4)-896/5*x^4*exp(2)+1792/25*x^5-1792/5*x*exp(6)+5376/5*x^2*exp(4)-7168/5*x^3*exp(2)+3584/5*x^4-1248/5*x*exp(4)+2496/5*x^2*exp(2)-1664/5*x^3+67328/5*exp(2)*x-67328/5*x^2-13328/5*x+917344/25-56/25*exp(10)+224/5*exp(8)+208/5*exp(6)-16832/5*exp(4)+6664/5*exp(2))*ln(3-x)^3+224/78125*x^4*exp(8)+1792/78125*x^3*exp(8)-1792/390625*exp(6)*x^5+390625*ln(3-x)^8","B"
9736,1,17,15,0.062000," ","int(8/((4*x-1)*ln(x^2-1/2*x+1/16)+2*(4*x-1)*ln(2)+12*x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(2 \ln \left(2\right)+\ln \left(x^{2}-\frac{1}{2} x +\frac{1}{16}\right)+3\right)$&$17$\\ risch&$\ln \left(2 \ln \left(2\right)+\ln \left(x^{2}-\frac{1}{2} x +\frac{1}{16}\right)+3\right)$&$17$\\ \hline \end{longtable}"," ",0,"ln(2*ln(2)+ln(x^2-1/2*x+1/16)+3)","A"
9737,1,54,26,0.037000," ","int(((1024*x^7-3840*x^6+6848*x^5-9488*x^4+8880*x^3-3784*x^2+408*x)*ln(x)^2+(-512*x^7+1920*x^6-4448*x^5+8296*x^4-10688*x^3+10312*x^2-7752*x+2890)*ln(x)+768*x^8-1856*x^7+784*x^6+1508*x^5-5952*x^4+10252*x^3-7252*x^2+1853*x)/((256*x^4-960*x^3+1200*x^2-500*x)*ln(x)^4+(512*x^5-1408*x^4+480*x^3+1400*x^2-1000*x)*ln(x)^2+256*x^6-448*x^5-464*x^4+940*x^3+200*x^2-500*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{64 x^{6}-160 x^{5}+356 x^{4}-592 x^{3}+596 x^{2}-544 x +289}{4 \left(16 x^{2}-40 x +25\right) \left(x +\ln \left(x \right)^{2}+1\right)}$&$54$\\ \hline \end{longtable}"," ",0,"1/4*(64*x^6-160*x^5+356*x^4-592*x^3+596*x^2-544*x+289)/(16*x^2-40*x+25)/(x+ln(x)^2+1)","B"
9738,1,22,26,0.146000," ","int(((3*x+16)*exp(ln(2)-x-2)-4*x^2-22*x-5)/((5+x)*exp(ln(2)-x-2)-x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$4 x +\ln \left(5+x \right)+\ln \left(x -{\mathrm e}^{\ln \left(2\right)-x -2}\right)$&$22$\\ risch&$4 x +\ln \left(5+x \right)-\ln \left(2\right)+2+\ln \left(2 \,{\mathrm e}^{-x -2}-x \right)$&$27$\\ \hline \end{longtable}"," ",0,"4*x+ln(5+x)+ln(x-exp(ln(2)-x-2))","A"
9739,1,11,16,0.033000," ","int((exp(ln(-ln(x*ln(5)))+2)-x*ln(x*ln(5)))/x/ln(x*ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -{\mathrm e}^{2} \ln \left(x \right)$&$11$\\ norman&$-{\mathrm e}^{2} \ln \left(x \ln \left(5\right)\right)-x$&$14$\\ default&$-x +{\mathrm e}^{\ln \left(-\ln \left(x \ln \left(5\right)\right)\right)+2}$&$16$\\ \hline \end{longtable}"," ",0,"-x-exp(2)*ln(x)","A"
9740,0,0,26,0.067000," ","int(((-2*x^4+3*x^3+7*x^2-8*x)*ln(x^2-2*x+1)*ln(ln(x^2-2*x+1)^4)-8*x^4+24*x^3+32*x^2)/(5*x^3+5*x^2-5*x-5)/ln(x^2-2*x+1),x)","\[\int \frac{\left(-2 x^{4}+3 x^{3}+7 x^{2}-8 x \right) \ln \left(x^{2}-2 x +1\right) \ln \left(\ln \left(x^{2}-2 x +1\right)^{4}\right)-8 x^{4}+24 x^{3}+32 x^{2}}{\left(5 x^{3}+5 x^{2}-5 x -5\right) \ln \left(x^{2}-2 x +1\right)}\, dx\]"," ",0,"int(((-2*x^4+3*x^3+7*x^2-8*x)*ln(x^2-2*x+1)*ln(ln(x^2-2*x+1)^4)-8*x^4+24*x^3+32*x^2)/(5*x^3+5*x^2-5*x-5)/ln(x^2-2*x+1),x)","F"
9741,1,26,25,0.215000," ","int(((3-x)*exp(x)+(30*x^2-120*x-120)*ln(5)+2)/(exp(x)^2+((-60*x^2-120*x)*ln(5)+4)*exp(x)+(900*x^4+3600*x^3+3600*x^2)*ln(5)^2+(-120*x^2-240*x)*ln(5)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x -2}{30 x^{2} \ln \left(5\right)+60 x \ln \left(5\right)-{\mathrm e}^{x}-2}$&$26$\\ norman&$\frac{2-x}{30 x^{2} \ln \left(5\right)+60 x \ln \left(5\right)-{\mathrm e}^{x}-2}$&$27$\\ \hline \end{longtable}"," ",0,"-(x-2)/(30*x^2*ln(5)+60*x*ln(5)-exp(x)-2)","A"
9742,1,27,25,0.199000," ","int(((2*(-x-2)*exp(4)*ln(2)+2*x^2+8*x+8)*ln((10*exp(4)*ln(2)-10*x-20)/(2*x+4))+2*(-5*x-8)*exp(4)*ln(2)+8*x^2+32*x+32)/(2*(x^3+2*x^2)*exp(4)*ln(2)-2*x^4-8*x^3-8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4+\ln \left(\frac{10 \,{\mathrm e}^{4} \ln \left(2\right)-10 x -20}{2 x +4}\right)}{x}$&$27$\\ risch&$\frac{\ln \left(\frac{10 \,{\mathrm e}^{4} \ln \left(2\right)-10 x -20}{2 x +4}\right)}{x}+\frac{4}{x}$&$31$\\ derivativedivides&$-\frac{5 \,{\mathrm e}^{4} \ln \left(2\right) \left(-\frac{\ln \left(5 \,{\mathrm e}^{4} \ln \left(2\right)-\frac{10 \,{\mathrm e}^{4} \ln \left(2\right)}{2+x}\right)}{5 \left({\mathrm e}^{4} \ln \left(2\right)-2\right)}-\frac{2 \ln \left(-5+\frac{5 \,{\mathrm e}^{4} \ln \left(2\right)}{2+x}\right) \left(-5+\frac{5 \,{\mathrm e}^{4} \ln \left(2\right)}{2+x}\right)}{5 \left({\mathrm e}^{4} \ln \left(2\right)-2\right) \left(5 \,{\mathrm e}^{4} \ln \left(2\right)-\frac{10 \,{\mathrm e}^{4} \ln \left(2\right)}{2+x}\right)}+\frac{4}{-5 \,{\mathrm e}^{4} \ln \left(2\right)+\frac{10 \,{\mathrm e}^{4} \ln \left(2\right)}{2+x}}+\frac{\ln \left(-5 \,{\mathrm e}^{4} \ln \left(2\right)+\frac{10 \,{\mathrm e}^{4} \ln \left(2\right)}{2+x}\right)}{5 \,{\mathrm e}^{4} \ln \left(2\right)-10}-\frac{2 \,{\mathrm e}^{-4} \ln \left(-5+\frac{5 \,{\mathrm e}^{4} \ln \left(2\right)}{2+x}\right)}{5 \ln \left(2\right) \left({\mathrm e}^{4} \ln \left(2\right)-2\right)}\right)}{2}$&$181$\\ default&$-\frac{5 \,{\mathrm e}^{4} \ln \left(2\right) \left(-\frac{\ln \left(5 \,{\mathrm e}^{4} \ln \left(2\right)-\frac{10 \,{\mathrm e}^{4} \ln \left(2\right)}{2+x}\right)}{5 \left({\mathrm e}^{4} \ln \left(2\right)-2\right)}-\frac{2 \ln \left(-5+\frac{5 \,{\mathrm e}^{4} \ln \left(2\right)}{2+x}\right) \left(-5+\frac{5 \,{\mathrm e}^{4} \ln \left(2\right)}{2+x}\right)}{5 \left({\mathrm e}^{4} \ln \left(2\right)-2\right) \left(5 \,{\mathrm e}^{4} \ln \left(2\right)-\frac{10 \,{\mathrm e}^{4} \ln \left(2\right)}{2+x}\right)}+\frac{4}{-5 \,{\mathrm e}^{4} \ln \left(2\right)+\frac{10 \,{\mathrm e}^{4} \ln \left(2\right)}{2+x}}+\frac{\ln \left(-5 \,{\mathrm e}^{4} \ln \left(2\right)+\frac{10 \,{\mathrm e}^{4} \ln \left(2\right)}{2+x}\right)}{5 \,{\mathrm e}^{4} \ln \left(2\right)-10}-\frac{2 \,{\mathrm e}^{-4} \ln \left(-5+\frac{5 \,{\mathrm e}^{4} \ln \left(2\right)}{2+x}\right)}{5 \ln \left(2\right) \left({\mathrm e}^{4} \ln \left(2\right)-2\right)}\right)}{2}$&$181$\\ \hline \end{longtable}"," ",0,"(4+ln((10*exp(4)*ln(2)-10*x-20)/(2*x+4)))/x","A"
9743,1,27,19,0.056000," ","int(1/3*(-3*exp(exp(4))^2*ln(x^2)+6*exp(exp(4))^2+6*x)/x^2/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{4}} \ln \left(x^{2}\right)}{\ln \left(2\right) x}+\frac{2 \ln \left(x \right)}{\ln \left(2\right)}$&$27$\\ risch&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{4}} \ln \left(x^{2}\right)}{\ln \left(2\right) x}+\frac{2 \ln \left(x \right)}{\ln \left(2\right)}$&$27$\\ default&$\frac{2 \ln \left(x \right)+\frac{{\mathrm e}^{2 \,{\mathrm e}^{4}} \ln \left(x^{2}\right)}{x}}{\ln \left(2\right)}$&$44$\\ \hline \end{longtable}"," ",0,"1/ln(2)*exp(exp(4))^2*ln(x^2)/x+2*ln(x)/ln(2)","A"
9744,1,113,25,0.307000," ","int((((-x+6)*ln((-x+6)/x)-5*x^2+30*x)*ln(ln((-x+6)/x)+5*x)+((-5*x^2+30*x)*ln((-x+6)/x)-25*x^3+150*x^2)*ln(x)^2+(5*x^2-30*x+6)*ln(x))/(((x^2-6*x)*ln((-x+6)/x)+5*x^3-30*x^2)*ln(x)*ln(ln((-x+6)/x)+5*x)+((-5*x^3+30*x^2)*ln((-x+6)/x)-25*x^4+150*x^3)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(\ln \left(x \right)\right)+\ln \left(-5 x \ln \left(x \right)+\ln \left(i \pi -\ln \left(x \right)+\ln \left(x -6\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(x -6\right)}{x}\right) \left(-\mathrm{csgn}\left(\frac{i \left(x -6\right)}{x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(x -6\right)}{x}\right)+\mathrm{csgn}\left(i \left(x -6\right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(x -6\right)}{x}\right)^{2} \left(\mathrm{csgn}\left(\frac{i \left(x -6\right)}{x}\right)-1\right)+5 x \right)\right)$&$113$\\ \hline \end{longtable}"," ",0,"-ln(ln(x))+ln(-5*x*ln(x)+ln(I*Pi-ln(x)+ln(x-6)-1/2*I*Pi*csgn(I/x*(x-6))*(-csgn(I/x*(x-6))+csgn(I/x))*(-csgn(I/x*(x-6))+csgn(I*(x-6)))+I*Pi*csgn(I/x*(x-6))^2*(csgn(I/x*(x-6))-1)+5*x))","C"
9745,1,26,24,0.043000," ","int((((2*x^3-20*x^2+50*x)*exp(x-5)-2*x^3+20*x^2-50*x)*ln(exp(x-5)-1)^2+((4*x^5-40*x^4+100*x^3-90)*exp(x-5)-4*x^5+40*x^4-100*x^3+90)*ln(exp(x-5)-1)+(2*x^7-20*x^6+50*x^5-36*x^3+72*x^2+90*x)*exp(x-5)-2*x^7+20*x^6-50*x^5+36*x^3-90*x^2)/(((x^2-10*x+25)*exp(x-5)-x^2+10*x-25)*ln(exp(x-5)-1)^2+((2*x^4-20*x^3+50*x^2)*exp(x-5)-2*x^4+20*x^3-50*x^2)*ln(exp(x-5)-1)+(x^6-10*x^5+25*x^4)*exp(x-5)-x^6+10*x^5-25*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+\frac{18 x}{\left(x -5\right) \left(\ln \left({\mathrm e}^{x -5}-1\right)+x^{2}\right)}$&$26$\\ \hline \end{longtable}"," ",0,"x^2+18*x/(x-5)/(ln(exp(x-5)-1)+x^2)","A"
9746,1,33,28,0.145000," ","int(((-56*x^4-304*x^3-576*x^2-384*x)*ln(3/(2+x))-56*x^4-208*x^3-192*x^2)/(343*x^3+1764*x^2+3024*x+1728)/ln(3/(2+x))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x^{2} \left(2+x \right)^{2}}{\left(49 x^{2}+168 x +144\right) \ln \left(\frac{3}{2+x}\right)^{2}}$&$33$\\ norman&$\frac{-4 x^{4}-16 x^{3}-16 x^{2}}{\left(7 x +12\right)^{2} \ln \left(\frac{3}{2+x}\right)^{2}}$&$35$\\ \hline \end{longtable}"," ",0,"-4*x^2*(2+x)^2/(49*x^2+168*x+144)/ln(3/(2+x))^2","A"
9747,1,27,26,0.051000," ","int(((5*exp(x)*x^2-15*x^4+20*x)*ln(x)+(20*x^2-15)*exp(x)-60*x^4+45*x^2+90*x)/(4*x^2*ln(x)+16*x^2-12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{5 x^{3}}{4}+\frac{5 \ln \left(x^{2} \ln \left(x \right)+4 x^{2}-3\right)}{2}+\frac{5 \,{\mathrm e}^{x}}{4}$&$27$\\ norman&$-\frac{5 x^{3}}{4}+\frac{5 \,{\mathrm e}^{x}}{4}+\frac{5 \ln \left(4 x^{2} \ln \left(x \right)+16 x^{2}-12\right)}{2}$&$28$\\ risch&$-\frac{5 x^{3}}{4}+5 \ln \left(x \right)+\frac{5 \,{\mathrm e}^{x}}{4}+\frac{5 \ln \left(\ln \left(x \right)+\frac{4 x^{2}-3}{x^{2}}\right)}{2}$&$32$\\ \hline \end{longtable}"," ",0,"-5/4*x^3+5/2*ln(x^2*ln(x)+4*x^2-3)+5/4*exp(x)","A"
9748,1,32,15,0.105000," ","int(((26*x*exp(4)^2+156*x*exp(4)+234*x+1725)*ln((-26*x*exp(4)^2-156*x*exp(4)-234*x-1725)/(69*exp(4)^2+414*exp(4)+621))+26*x*exp(4)^2+156*x*exp(4)+234*x)/(26*x*exp(4)^2+156*x*exp(4)+234*x+1725),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(\frac{-26 x \,{\mathrm e}^{8}-156 x \,{\mathrm e}^{4}-234 x -1725}{69 \,{\mathrm e}^{8}+414 \,{\mathrm e}^{4}+621}\right)$&$32$\\ norman&$x \ln \left(\frac{-26 x \,{\mathrm e}^{8}-156 x \,{\mathrm e}^{4}-234 x -1725}{69 \,{\mathrm e}^{8}+414 \,{\mathrm e}^{4}+621}\right)$&$36$\\ derivativedivides&$-\frac{69 \,{\mathrm e}^{8} \left(\left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right) \ln \left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)+\frac{26 x}{69}+\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)}{26 \left({\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9\right)}-\frac{69 \,{\mathrm e}^{8} \left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)}{26 \left({\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9\right)}-\frac{207 \,{\mathrm e}^{4} \left(\left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right) \ln \left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)+\frac{26 x}{69}+\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)}{13 \left({\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9\right)}-\frac{207 \,{\mathrm e}^{4} \left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)}{13 \left({\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9\right)}-\frac{621 \left(\left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right) \ln \left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)+\frac{26 x}{69}+\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)}{26 \left({\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9\right)}-\frac{621 \left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)}{26 \left({\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9\right)}-\frac{1725 \ln \left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)}{26 \left({\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9\right)}$&$353$\\ default&$-\frac{69 \,{\mathrm e}^{8} \left(\left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right) \ln \left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)+\frac{26 x}{69}+\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)}{26 \left({\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9\right)}-\frac{69 \,{\mathrm e}^{8} \left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)}{26 \left({\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9\right)}-\frac{207 \,{\mathrm e}^{4} \left(\left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right) \ln \left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)+\frac{26 x}{69}+\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)}{13 \left({\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9\right)}-\frac{207 \,{\mathrm e}^{4} \left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)}{13 \left({\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9\right)}-\frac{621 \left(\left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right) \ln \left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)+\frac{26 x}{69}+\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)}{26 \left({\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9\right)}-\frac{621 \left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)}{26 \left({\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9\right)}-\frac{1725 \ln \left(-\frac{26 x}{69}-\frac{25}{{\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9}\right)}{26 \left({\mathrm e}^{8}+6 \,{\mathrm e}^{4}+9\right)}$&$353$\\ \hline \end{longtable}"," ",0,"x*ln((-26*x*exp(8)-156*x*exp(4)-234*x-1725)/(69*exp(8)+414*exp(4)+621))","B"
9749,1,28,25,0.235000," ","int(((ln(x)^2+(4*x^2*ln(2)+2*exp(4)+3*x^3+10)*ln(x)+2*(2*x^2*exp(4)+9*x^2)*ln(2)+exp(4)^2+(3*x^3+10)*exp(4)+14*x^3+25)*exp((2*x^2*ln(2)+x^3)/(ln(x)+5+exp(4)))-2*x*ln(x)^2+(-4*x*exp(4)-20*x)*ln(x)-2*x*exp(4)^2-20*x*exp(4)-50*x)/(ln(x)^2+(2*exp(4)+10)*ln(x)+exp(4)^2+10*exp(4)+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+x \,{\mathrm e}^{\frac{\left(x +2 \ln \left(2\right)\right) x^{2}}{\ln \left(x \right)+5+{\mathrm e}^{4}}}$&$28$\\ \hline \end{longtable}"," ",0,"-x^2+x*exp((x+2*ln(2))*x^2/(ln(x)+5+exp(4)))","A"
9750,1,21,23,0.266000," ","int((4*x+8)*ln(2)/(80*x^4+640*x^3+1720*x^2+1760*x+605)/exp((40*x^2+160*x+111)/(40*x^2+160*x+110)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(2\right) {\mathrm e}^{-\frac{1}{40 x^{2}+160 x +110}-1}$&$21$\\ risch&$\ln \left(2\right) {\mathrm e}^{-\frac{40 x^{2}+160 x +111}{10 \left(4 x^{2}+16 x +11\right)}}$&$29$\\ gosper&$\ln \left(2\right) {\mathrm e}^{-\frac{40 x^{2}+160 x +111}{10 \left(4 x^{2}+16 x +11\right)}}$&$31$\\ norman&$\frac{\left(16 x \ln \left(2\right)+4 x^{2} \ln \left(2\right)+11 \ln \left(2\right)\right) {\mathrm e}^{-\frac{40 x^{2}+160 x +111}{40 x^{2}+160 x +110}}}{4 x^{2}+16 x +11}$&$57$\\ \hline \end{longtable}"," ",0,"ln(2)*exp(-1/(40*x^2+160*x+110)-1)","A"
9751,1,111,35,0.295000," ","int(((3*x^3-33*x^2+120*x-144)*exp(x^2)^2*ln(-4/(x-3))*ln(5*ln(-4/(x-3)))^2+(-2*x^6+22*x^5-78*x^4+74*x^3+110*x^2-306*x+360)*exp(x^2)*ln(-4/(x-3))*ln(5*ln(-4/(x-3)))+(15*x^3-85*x^2+195*x-225)*ln(-4/(x-3))+(x^4-8*x^3+16*x^2)*exp(x^2))/((3*x^3-33*x^2+120*x-144)*exp(x^2)^2*ln(-4/(x-3))*ln(5*ln(-4/(x-3)))^2+(30*x^2-210*x+360)*exp(x^2)*ln(-4/(x-3))*ln(5*ln(-4/(x-3)))+(75*x-225)*ln(-4/(x-3))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(x -4\right) x^{2}}{3 x \,{\mathrm e}^{x^{2}} \ln \left(10 \ln \left(2\right)+5 i \pi -5 \ln \left(x -3\right)+5 i \pi  \mathrm{csgn}\left(\frac{i}{x -3}\right)^{2} \left(\mathrm{csgn}\left(\frac{i}{x -3}\right)-1\right)\right)-12 \,{\mathrm e}^{x^{2}} \ln \left(10 \ln \left(2\right)+5 i \pi -5 \ln \left(x -3\right)+5 i \pi  \mathrm{csgn}\left(\frac{i}{x -3}\right)^{2} \left(\mathrm{csgn}\left(\frac{i}{x -3}\right)-1\right)\right)+15}$&$111$\\ \hline \end{longtable}"," ",0,"x+1/3*(x-4)*x^2/(x*exp(x^2)*ln(10*ln(2)+5*I*Pi-5*ln(x-3)+5*I*Pi*csgn(I/(x-3))^2*(csgn(I/(x-3))-1))-4*exp(x^2)*ln(10*ln(2)+5*I*Pi-5*ln(x-3)+5*I*Pi*csgn(I/(x-3))^2*(csgn(I/(x-3))-1))+5)","C"
9752,1,24,16,0.168000," ","int((((x^2+27*x)*exp(25)^4+1)*ln(((x^2+27*x)*exp(25)^4+1)/x/exp(25)^4)^2+(2*x^2*exp(25)^4-2)*ln(((x^2+27*x)*exp(25)^4+1)/x/exp(25)^4))/((x^2+27*x)*exp(25)^4+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(\frac{\left(\left(x^{2}+27 x \right) {\mathrm e}^{100}+1\right) {\mathrm e}^{-100}}{x}\right)^{2}$&$24$\\ norman&$x \ln \left(\frac{\left(\left(x^{2}+27 x \right) {\mathrm e}^{100}+1\right) {\mathrm e}^{-100}}{x}\right)^{2}$&$28$\\ \hline \end{longtable}"," ",0,"x*ln(((x^2+27*x)*exp(100)+1)/x*exp(-100))^2","A"
9753,1,22,22,0.092000," ","int(((x+16)*ln(-x-16)+x)/(x+16)/ln(1/25*exp(4/ln(3))^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(-x -16\right) x}{\left(-2 \ln \left(5\right)+\frac{8}{\ln \left(3\right)}\right)^{2}}$&$22$\\ norman&$\frac{\ln \left(3\right)^{2} x \ln \left(-x -16\right)}{4 \left(\ln \left(3\right) \ln \left(5\right)-4\right)^{2}}$&$23$\\ derivativedivides&$\frac{-\left(-x -16\right) \ln \left(-x -16\right)-16 \ln \left(-x -16\right)}{\ln \left(\frac{{\mathrm e}^{\frac{8}{\ln \left(3\right)}}}{25}\right)^{2}}$&$38$\\ default&$\frac{-\left(-x -16\right) \ln \left(-x -16\right)-16 \ln \left(-x -16\right)}{\ln \left(\frac{{\mathrm e}^{\frac{8}{\ln \left(3\right)}}}{25}\right)^{2}}$&$38$\\ \hline \end{longtable}"," ",0,"1/(-2*ln(5)+8/ln(3))^2*ln(-x-16)*x","A"
9754,1,19,18,0.035000," ","int((2*exp(x)*x^2-x^2*exp(x-6)+5*ln(2))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{x} {\mathrm e}^{-6}-\frac{5 \ln \left(2\right)}{x}+2 \,{\mathrm e}^{x}$&$19$\\ risch&$-{\mathrm e}^{x} {\mathrm e}^{-6}-\frac{5 \ln \left(2\right)}{x}+2 \,{\mathrm e}^{x}$&$19$\\ norman&$\frac{\left(2 \,{\mathrm e}^{6}-1\right) {\mathrm e}^{-6} x \,{\mathrm e}^{x}-5 \ln \left(2\right)}{x}$&$24$\\ \hline \end{longtable}"," ",0,"-exp(x)*exp(-6)-5*ln(2)/x+2*exp(x)","A"
9755,1,36,34,0.307000," ","int(((-20*exp(5/x)+4*x^2+8*x)*exp(exp(5/x)+x)+(-400*x^4+600*x^3-200*x^2-4)*exp(25*x^4-50*x^3+25*x^2)+40*x)/(x^4*exp(exp(5/x)+x)^2+(-2*x^3*exp(25*x^4-50*x^3+25*x^2)+10*x^4)*exp(exp(5/x)+x)+x^2*exp(25*x^4-50*x^3+25*x^2)^2-10*x^3*exp(25*x^4-50*x^3+25*x^2)+25*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4}{x \left(x \,{\mathrm e}^{{\mathrm e}^{\frac{5}{x}}+x}-{\mathrm e}^{25 x^{2} \left(x -1\right)^{2}}+5 x \right)}$&$36$\\ \hline \end{longtable}"," ",0,"-4/x/(x*exp(exp(5/x)+x)-exp(25*x^2*(x-1)^2)+5*x)","A"
9756,1,8,21,0.014000," ","int((x^2+12)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\frac{12}{x}$&$8$\\ risch&$x -\frac{12}{x}$&$8$\\ gosper&$\frac{x^{2}-12}{x}$&$10$\\ norman&$\frac{x^{2}-12}{x}$&$10$\\ \hline \end{longtable}"," ",0,"x-12/x","A"
9757,1,32,33,0.043000," ","int(1/80*((-44*x^10-120*x^9+99*x^8+240*x^7-175*x^6)*exp(3)-48)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 x^{7}}{16}+\frac{3 x^{8}}{8}+\frac{11 x^{9}}{80}-\frac{3 x^{10}}{20}-\frac{x^{11}}{20}-\frac{3 x \,{\mathrm e}^{-3}}{5}$&$32$\\ norman&$-\frac{5 x^{7}}{16}+\frac{3 x^{8}}{8}+\frac{11 x^{9}}{80}-\frac{3 x^{10}}{20}-\frac{x^{11}}{20}-\frac{3 x \,{\mathrm e}^{-3}}{5}$&$34$\\ default&$\frac{{\mathrm e}^{-3} \left({\mathrm e}^{3} \left(-4 x^{11}-12 x^{10}+11 x^{9}+30 x^{8}-25 x^{7}\right)-48 x \right)}{80}$&$40$\\ gosper&$-\frac{x \left(4 \,{\mathrm e}^{3} x^{10}+12 \,{\mathrm e}^{3} x^{9}-11 \,{\mathrm e}^{3} x^{8}-30 x^{7} {\mathrm e}^{3}+25 x^{6} {\mathrm e}^{3}+48\right) {\mathrm e}^{-3}}{80}$&$45$\\ \hline \end{longtable}"," ",0,"-5/16*x^7+3/8*x^8+11/80*x^9-3/20*x^10-1/20*x^11-3/5*x*exp(-3)","A"
9758,1,11,16,0.098000," ","int(((-2*x-8)*ln(4+x)-5*x-24)/(x^4+4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3+\ln \left(4+x \right)}{x^{2}}$&$11$\\ risch&$\frac{\ln \left(4+x \right)}{x^{2}}+\frac{3}{x^{2}}$&$15$\\ derivativedivides&$-\frac{\ln \left(4+x \right) \left(4+x \right) \left(x -4\right)}{16 x^{2}}+\frac{3}{x^{2}}+\frac{\ln \left(4+x \right)}{16}$&$28$\\ default&$-\frac{\ln \left(4+x \right) \left(4+x \right) \left(x -4\right)}{16 x^{2}}+\frac{3}{x^{2}}+\frac{\ln \left(4+x \right)}{16}$&$28$\\ \hline \end{longtable}"," ",0,"(3+ln(4+x))/x^2","A"
9759,1,23,18,0.017000," ","int((ln(x)*ln(ln(x))+(5*x^4+16*x^3+12*x^2+2*x)*ln(x)+1)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+4 x^{3}+4 x^{4}+x^{5}+x \ln \left(\ln \left(x \right)\right)$&$23$\\ risch&$x^{2}+4 x^{3}+4 x^{4}+x^{5}+x \ln \left(\ln \left(x \right)\right)$&$23$\\ \hline \end{longtable}"," ",0,"x^2+4*x^3+4*x^4+x^5+x*ln(ln(x))","A"
9760,1,166,25,0.082000," ","int(((384*x*exp(-3*x/(5*x-2))^4+(800*x^3-64*x^2-2176*x)*exp(-3*x/(5*x-2))^3+(1200*x^4-5472*x^3+1728*x^2+3840*x)*exp(-3*x/(5*x-2))^2+(600*x^5-5232*x^4+12960*x^3-6144*x^2-1536*x)*exp(-3*x/(5*x-2))+100*x^6-1280*x^5+5776*x^4-10432*x^3+5888*x^2-1024*x)*ln(x)+(-400*x^2+320*x-64)*exp(-3*x/(5*x-2))^4+(-800*x^3+3840*x^2-2688*x+512)*exp(-3*x/(5*x-2))^3+(-600*x^4+5280*x^3-13536*x^2+8448*x-1536)*exp(-3*x/(5*x-2))^2+(-200*x^5+2560*x^4-11552*x^3+20864*x^2-11776*x+2048)*exp(-3*x/(5*x-2))-25*x^6+420*x^5-2724*x^4+8384*x^3-11879*x^2+6124*x-1020)/(25*x^3-20*x^2+4*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4}+8 \,{\mathrm e}^{-\frac{3 x}{5 x -2}} x^{3}+24 \,{\mathrm e}^{-\frac{6 x}{5 x -2}} x^{2}+32 \,{\mathrm e}^{-\frac{9 x}{5 x -2}} x +16 \,{\mathrm e}^{-\frac{12 x}{5 x -2}}-16 x^{3}-96 \,{\mathrm e}^{-\frac{3 x}{5 x -2}} x^{2}-192 \,{\mathrm e}^{-\frac{6 x}{5 x -2}} x -128 \,{\mathrm e}^{-\frac{9 x}{5 x -2}}+96 x^{2}+384 x \,{\mathrm e}^{-\frac{3 x}{5 x -2}}+384 \,{\mathrm e}^{-\frac{6 x}{5 x -2}}-256 x -512 \,{\mathrm e}^{-\frac{3 x}{5 x -2}}+255}{\ln \left(x \right)}$&$166$\\ \hline \end{longtable}"," ",0,"(x^4+8*exp(-3*x/(5*x-2))*x^3+24*exp(-6*x/(5*x-2))*x^2+32*exp(-9*x/(5*x-2))*x+16*exp(-12*x/(5*x-2))-16*x^3-96*exp(-3*x/(5*x-2))*x^2-192*exp(-6*x/(5*x-2))*x-128*exp(-9*x/(5*x-2))+96*x^2+384*x*exp(-3*x/(5*x-2))+384*exp(-6*x/(5*x-2))-256*x-512*exp(-3*x/(5*x-2))+255)/ln(x)","B"
9761,1,22,21,0.092000," ","int((((144*x^2+720*x)*ln(x)-72*x^2-360*x)*ln(5+x)+(80*x^2+400*x)*exp(2)*ln(x)^2+72*x^2*ln(x))/(25+5*x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$8 x^{2} {\mathrm e}^{2}+\frac{72 x^{2} \ln \left(5+x \right)}{5 \ln \left(x \right)}$&$22$\\ \hline \end{longtable}"," ",0,"8*x^2*exp(2)+72/5*x^2/ln(x)*ln(5+x)","A"
9762,1,41,30,0.162000," ","int(((-4*x^3+40*x^2+700*x+2000)*ln(1/4*x-5)+(8*x^3-84*x^2-1420*x-4500)*exp(2)+12*x^3-80*x^2-600*x-2000)/((x^3-10*x^2-175*x-500)*ln(1/4*x-5)^2+(-4*x^4+36*x^3+750*x^2+2550*x+1000)*ln(1/4*x-5)+4*x^5-32*x^4-796*x^3-3160*x^2-2375*x-500),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \left({\mathrm e}^{2}-x \right) \left(5+x \right)}{2 x^{2}-\ln \left(\frac{x}{4}-5\right) x +12 x -5 \ln \left(\frac{x}{4}-5\right)+5}$&$41$\\ norman&$\frac{\left(-4-4 \,{\mathrm e}^{2}\right) x +10 \ln \left(\frac{x}{4}-5\right)-10+2 \ln \left(\frac{x}{4}-5\right) x -20 \,{\mathrm e}^{2}}{2 x^{2}-\ln \left(\frac{x}{4}-5\right) x +12 x -5 \ln \left(\frac{x}{4}-5\right)+5}$&$62$\\ \hline \end{longtable}"," ",0,"-4*(exp(2)-x)*(5+x)/(2*x^2-ln(1/4*x-5)*x+12*x-5*ln(1/4*x-5)+5)","A"
9763,1,23,21,0.023000," ","int(1/5*(4*x^3-9*x^2-4*x)*exp(5)+3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{5} \left(x^{4}-3 x^{3}-2 x^{2}\right)}{5}+3 x$&$23$\\ gosper&$\frac{x \left(x^{3} {\mathrm e}^{5}-3 x^{2} {\mathrm e}^{5}-2 x \,{\mathrm e}^{5}+15\right)}{5}$&$24$\\ norman&$3 x -\frac{2 x^{2} {\mathrm e}^{5}}{5}-\frac{3 x^{3} {\mathrm e}^{5}}{5}+\frac{x^{4} {\mathrm e}^{5}}{5}$&$26$\\ risch&$3 x -\frac{2 x^{2} {\mathrm e}^{5}}{5}-\frac{3 x^{3} {\mathrm e}^{5}}{5}+\frac{x^{4} {\mathrm e}^{5}}{5}$&$26$\\ \hline \end{longtable}"," ",0,"1/5*exp(5)*(x^4-3*x^3-2*x^2)+3*x","A"
9764,1,15,21,0.055000," ","int((x*exp(exp(2)-x+1)+x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -{\mathrm e}^{{\mathrm e}^{2}-x +1}+\ln \left(x \right)$&$15$\\ risch&$x -{\mathrm e}^{{\mathrm e}^{2}-x +1}+\ln \left(x \right)$&$15$\\ derivativedivides&${\mathrm e}^{2} \ln \left(x \right)-{\mathrm e}^{{\mathrm e}^{2}+1} \expIntegralEi \left(1, x\right)-{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{2}+1} \expIntegralEi \left(1, x\right)+2 \ln \left(x \right)-{\mathrm e}^{2}+x -1-\ln \left(-x \right) {\mathrm e}^{2}-\ln \left(-x \right)-{\mathrm e}^{{\mathrm e}^{2}-x +1}-\left(-1-{\mathrm e}^{2}\right) {\mathrm e}^{{\mathrm e}^{2}+1} \expIntegralEi \left(1, x\right)$&$79$\\ default&${\mathrm e}^{2} \ln \left(x \right)-{\mathrm e}^{{\mathrm e}^{2}+1} \expIntegralEi \left(1, x\right)-{\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{2}+1} \expIntegralEi \left(1, x\right)+2 \ln \left(x \right)-{\mathrm e}^{2}+x -1-\ln \left(-x \right) {\mathrm e}^{2}-\ln \left(-x \right)-{\mathrm e}^{{\mathrm e}^{2}-x +1}-\left(-1-{\mathrm e}^{2}\right) {\mathrm e}^{{\mathrm e}^{2}+1} \expIntegralEi \left(1, x\right)$&$79$\\ \hline \end{longtable}"," ",0,"x-exp(exp(2)-x+1)+ln(x)","A"
9765,1,30,26,0.049000," ","int(((160*exp(2*x)*x^2+400*x^2+400)*ln(x)+(-80*x^3-40*x^2+80*x)*exp(2*x)-400*x^3-600*x^2+2000*x-400)/((4*x^2*exp(2*x)^2+(40*x^3+200*x^2-40*x)*exp(2*x)+100*x^4+1000*x^3+2300*x^2-1000*x+100)*ln(x)^2+(-4*x^3*exp(2*x)^2+(-40*x^4-200*x^3+40*x^2)*exp(2*x)-100*x^5-1000*x^4-2300*x^3+1000*x^2-100*x)*ln(x)+x^4*exp(2*x)^2+(10*x^5+50*x^4-10*x^3)*exp(2*x)+25*x^6+250*x^5+575*x^4-250*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{40 x}{\left(5 x^{2}+x \,{\mathrm e}^{2 x}+25 x -5\right) \left(x -2 \ln \left(x \right)\right)}$&$30$\\ \hline \end{longtable}"," ",0,"40*x/(5*x^2+x*exp(2*x)+25*x-5)/(x-2*ln(x))","A"
9766,1,15,15,0.022000," ","int(1/10*(10*ln(2)+2*x-5)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(x +10 \ln \left(2\right)-5\right)}{10 \ln \left(2\right)}$&$15$\\ default&$\frac{10 x \ln \left(2\right)+x^{2}-5 x}{10 \ln \left(2\right)}$&$19$\\ risch&$x +\frac{x^{2}}{10 \ln \left(2\right)}-\frac{x}{2 \ln \left(2\right)}$&$19$\\ norman&$\frac{x^{2}}{10 \ln \left(2\right)}+\frac{\left(2 \ln \left(2\right)-1\right) x}{2 \ln \left(2\right)}$&$24$\\ \hline \end{longtable}"," ",0,"1/10*x*(x+10*ln(2)-5)/ln(2)","A"
9767,1,22,18,0.044000," ","int(((4*x^4+48*x^3+504*x^2+2040*x+7225)*ln(x^4+12*x^3+126*x^2+510*x+7225/4)+16*x^4+144*x^3+1008*x^2+2040*x)/(4*x^4+48*x^3+504*x^2+2040*x+7225),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x^{4}+12 x^{3}+126 x^{2}+510 x +\frac{7225}{4}\right) x$&$22$\\ risch&$\ln \left(x^{4}+12 x^{3}+126 x^{2}+510 x +\frac{7225}{4}\right) x$&$22$\\ default&$-2 x \ln \left(2\right)+x \ln \left(4 x^{4}+48 x^{3}+504 x^{2}+2040 x +7225\right)$&$30$\\ \hline \end{longtable}"," ",0,"ln(x^4+12*x^3+126*x^2+510*x+7225/4)*x","A"
9768,1,50,31,0.056000," ","int((((x-3)*exp(x^3-4*x^2-8*x)^4+(4*x-12)*exp(x^3-4*x^2-8*x)^2+4*x-12)*ln(3-x)-x*exp(x^3-4*x^2-8*x)^4+(-6*x^5+34*x^4-32*x^3-48*x^2-4*x)*exp(x^3-4*x^2-8*x)^2-4*x)/(((x-3)*exp(x^3-4*x^2-8*x)^4+(4*x-12)*exp(x^3-4*x^2-8*x)^2+4*x-12)*ln(3-x)^2+((-2*x^2+6*x)*exp(x^3-4*x^2-8*x)^2-4*x^2+12*x)*ln(3-x)+x^3-3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \left({\mathrm e}^{2 x \left(x^{2}-4 x -8\right)}+2\right)}{-\ln \left(3-x \right) {\mathrm e}^{2 x \left(x^{2}-4 x -8\right)}+x -2 \ln \left(3-x \right)}$&$50$\\ \hline \end{longtable}"," ",0,"-x*(exp(2*x*(x^2-4*x-8))+2)/(-ln(3-x)*exp(2*x*(x^2-4*x-8))+x-2*ln(3-x))","A"
9769,1,15,15,0.029000," ","int((-x*ln(x)^2-x*ln(x)+4+x)/(x^2*ln(x)^2+(x^2+4*x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\ln \left(x \ln \left(x \right)+x +4\right)+\ln \left(\ln \left(x \right)\right)$&$15$\\ risch&$-\ln \left(x \right)+\ln \left(\ln \left(x \right)\right)-\ln \left(\ln \left(x \right)+\frac{4+x}{x}\right)$&$22$\\ \hline \end{longtable}"," ",0,"-ln(x*ln(x)+x+4)+ln(ln(x))","A"
9770,1,23,19,0.052000," ","int((460992*exp(x)^2*x^2+(-39984*x-28224)*exp(x)+75)/(153664*exp(x)^2*x^4+(-3920*x^3+18816*x^2)*exp(x)+25*x^2-240*x+576),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{15-1176 \,{\mathrm e}^{x} x}{392 \,{\mathrm e}^{x} x^{2}-5 x +24}$&$23$\\ risch&$-\frac{3}{x}+\frac{72}{x \left(392 \,{\mathrm e}^{x} x^{2}-5 x +24\right)}$&$26$\\ \hline \end{longtable}"," ",0,"(15-1176*exp(x)*x)/(392*exp(x)*x^2-5*x+24)","A"
9771,1,24,20,0.105000," ","int(((900*x^3+1800*x^2+231000*x-240000)*exp(x)-36*x^6-360*x^5-20100*x^4-96000*x^3-2560000*x^2)/(9*x^6+90*x^5+5025*x^4+24000*x^3+640000*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 x +\frac{300 \,{\mathrm e}^{x}}{x \left(3 x^{2}+15 x +800\right)}$&$24$\\ norman&$\frac{-2900 x^{2}+16000 x -12 x^{4}+300 \,{\mathrm e}^{x}}{x \left(3 x^{2}+15 x +800\right)}$&$35$\\ default&$-\frac{4096 \left(6 x +15\right)}{15 \left(3 x^{2}+15 x +800\right)}-\frac{256 \left(-15 x -1600\right)}{25 \left(3 x^{2}+15 x +800\right)}-\frac{20100 \left(-\frac{61 x}{1125}+\frac{32}{225}\right)}{x^{2}+5 x +\frac{800}{3}}-\frac{360 \left(\frac{31 x}{75}+\frac{1952}{135}\right)}{x^{2}+5 x +\frac{800}{3}}-4 x +\frac{-\frac{6692 x}{15}+3968}{x^{2}+5 x +\frac{800}{3}}+\frac{3 \,{\mathrm e}^{x} \left(279 x^{2}+1635 x +50000\right)}{500 \left(3 x^{2}+15 x +800\right) x}-\frac{231 \,{\mathrm e}^{x} \left(3 x -305\right)}{500 \left(3 x^{2}+15 x +800\right)}+\frac{72 \,{\mathrm e}^{x} \left(5+2 x \right)}{125 \left(3 x^{2}+15 x +800\right)}-\frac{12 \,{\mathrm e}^{x} \left(3 x +320\right)}{25 \left(3 x^{2}+15 x +800\right)}$&$186$\\ \hline \end{longtable}"," ",0,"-4*x+300/x/(3*x^2+15*x+800)*exp(x)","A"
9772,1,55,18,0.032000," ","int((2*exp(2)+2*x+30)*exp(3)+(2*x+6)*exp(2)^2+(6*x^2+84*x+198)*exp(2)+4*x^3+108*x^2+838*x+1650,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{4}+\left(2 \,{\mathrm e}^{2}+36\right) x^{3}+\left({\mathrm e}^{4}+42 \,{\mathrm e}^{2}+{\mathrm e}^{3}+419\right) x^{2}+\left(6 \,{\mathrm e}^{4}+2 \,{\mathrm e}^{2} {\mathrm e}^{3}+198 \,{\mathrm e}^{2}+30 \,{\mathrm e}^{3}+1650\right) x$&$55$\\ gosper&$x \left(x \,{\mathrm e}^{4}+2 x^{2} {\mathrm e}^{2}+x^{3}+6 \,{\mathrm e}^{4}+2 \,{\mathrm e}^{2} {\mathrm e}^{3}+42 \,{\mathrm e}^{2} x +x \,{\mathrm e}^{3}+36 x^{2}+198 \,{\mathrm e}^{2}+30 \,{\mathrm e}^{3}+419 x +1650\right)$&$58$\\ default&${\mathrm e}^{3} \left(2 \,{\mathrm e}^{2} x +x^{2}+30 x \right)+{\mathrm e}^{4} \left(x^{2}+6 x \right)+{\mathrm e}^{2} \left(2 x^{3}+42 x^{2}+198 x \right)+x^{4}+36 x^{3}+419 x^{2}+1650 x$&$62$\\ risch&$2 x \,{\mathrm e}^{5}+x^{2} {\mathrm e}^{3}+30 x \,{\mathrm e}^{3}+x^{2} {\mathrm e}^{4}+6 x \,{\mathrm e}^{4}+2 x^{3} {\mathrm e}^{2}+42 x^{2} {\mathrm e}^{2}+198 \,{\mathrm e}^{2} x +x^{4}+36 x^{3}+419 x^{2}+1650 x$&$64$\\ \hline \end{longtable}"," ",0,"x^4+(2*exp(2)+36)*x^3+(exp(2)^2+42*exp(2)+exp(3)+419)*x^2+(6*exp(2)^2+2*exp(2)*exp(3)+198*exp(2)+30*exp(3)+1650)*x","B"
9773,1,31,24,0.045000," ","int(((x^2-32*x+256)*ln(x)+(x^5-17*x^4+32*x^2)*exp(x-10)+x^4-32*x^3+255*x^2+32*x-256)/(x^4-32*x^3+256*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(x \right)}{x}+\frac{x \left(x \,{\mathrm e}^{x -10}+x -2 \,{\mathrm e}^{x -10}-16\right)}{x -16}$&$31$\\ default&$x -\frac{\ln \left(x \right)}{x}+\left(x -10\right) {\mathrm e}^{x -10}+24 \,{\mathrm e}^{x -10}+\frac{224 \,{\mathrm e}^{x -10}}{x -16}$&$35$\\ \hline \end{longtable}"," ",0,"-ln(x)/x+x*(x*exp(x-10)+x-2*exp(x-10)-16)/(x-16)","A"
9774,1,128,31,0.078000," ","int(((2*x^7+8*x^6+8*x^5+2*x^4)*exp(x)^2+((6*x^5+26*x^4+22*x^3)*exp(4)-2*x^9-16*x^8-22*x^7-10*x^6-8*x^5-4*x^4)*exp(x)+(-24*x-32)*exp(4)^2+(-24*x^6-42*x^5-16*x^4-6*x^3)*exp(4)+8*x^10+14*x^9+6*x^8+10*x^7+8*x^6+2*x^4)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{8}+2 x^{7}+x^{6}-6 x^{4} {\mathrm e}^{4}+2 x^{5}-14 x^{3} {\mathrm e}^{4}+2 x^{4}-8 x^{2} {\mathrm e}^{4}-6 x \,{\mathrm e}^{4}+x^{2}+\frac{24 x \,{\mathrm e}^{8}+16 \,{\mathrm e}^{8}}{x^{2}}+\left(x^{4}+2 x^{3}+x^{2}\right) {\mathrm e}^{2 x}+\left(-2 x^{6}-4 x^{5}-2 x^{4}+6 x^{2} {\mathrm e}^{4}-2 x^{3}+14 x \,{\mathrm e}^{4}-2 x^{2}+8 \,{\mathrm e}^{4}\right) {\mathrm e}^{x}$&$128$\\ norman&$\frac{x^{8}+x^{10}+x^{6} {\mathrm e}^{2 x}+\left(2-6 \,{\mathrm e}^{4}\right) x^{6}+\left(-8 \,{\mathrm e}^{4}+1\right) x^{4}+{\mathrm e}^{2 x} x^{4}+\left(-2+6 \,{\mathrm e}^{4}\right) x^{4} {\mathrm e}^{x}+2 x^{7}+2 x^{9}+16 \,{\mathrm e}^{8}+24 x \,{\mathrm e}^{8}-6 x^{3} {\mathrm e}^{4}-14 x^{5} {\mathrm e}^{4}-2 x^{5} {\mathrm e}^{x}+2 x^{5} {\mathrm e}^{2 x}-2 x^{6} {\mathrm e}^{x}-4 x^{7} {\mathrm e}^{x}-2 x^{8} {\mathrm e}^{x}+8 x^{2} {\mathrm e}^{4} {\mathrm e}^{x}+14 \,{\mathrm e}^{4} {\mathrm e}^{x} x^{3}}{x^{2}}$&$152$\\ default&$-4 x^{5} {\mathrm e}^{x}+2 \,{\mathrm e}^{2 x} x^{3}+2 x^{7}+x^{8}+x^{6}+2 x^{5}+2 x^{4}+x^{2}+\frac{16 \,{\mathrm e}^{8}}{x^{2}}-14 x^{3} {\mathrm e}^{4}-2 x^{6} {\mathrm e}^{x}-8 x^{2} {\mathrm e}^{4}+{\mathrm e}^{2 x} x^{4}-2 \,{\mathrm e}^{x} x^{4}+{\mathrm e}^{2 x} x^{2}-2 \,{\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x^{3}+22 \,{\mathrm e}^{4} {\mathrm e}^{x}-6 x^{4} {\mathrm e}^{4}+\frac{24 \,{\mathrm e}^{8}}{x}+26 \,{\mathrm e}^{4} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+6 \,{\mathrm e}^{4} \left({\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right)-6 x \,{\mathrm e}^{4}$&$169$\\ \hline \end{longtable}"," ",0,"x^8+2*x^7+x^6-6*x^4*exp(4)+2*x^5-14*x^3*exp(4)+2*x^4-8*x^2*exp(4)-6*x*exp(4)+x^2+(24*x*exp(8)+16*exp(8))/x^2+(x^4+2*x^3+x^2)*exp(2*x)+(-2*x^6-4*x^5-2*x^4+6*x^2*exp(4)-2*x^3+14*x*exp(4)-2*x^2+8*exp(4))*exp(x)","B"
9775,1,25,24,0.409000," ","int((((12*x^2*exp(5)-12*x^3)*ln(exp(5)^2-2*x*exp(5)+x^2)+8*x^3)*exp(4*x^3/exp(5)/ln(exp(5)^2-2*x*exp(5)+x^2))+(exp(5)^2-x*exp(5))*ln(exp(5)^2-2*x*exp(5)+x^2)^2)/(exp(5)^2-x*exp(5))/ln(exp(5)^2-2*x*exp(5)+x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{4 x^{3} {\mathrm e}^{-5}}{\ln \left({\mathrm e}^{10}-2 x \,{\mathrm e}^{5}+x^{2}\right)}}$&$25$\\ \hline \end{longtable}"," ",0,"x+exp(4*x^3*exp(-5)/ln(exp(10)-2*x*exp(5)+x^2))","A"
9776,1,34,23,0.145000," ","int((((50*x-100)*exp(x)*ln(1/x)+(50*x-50)*exp(x))*exp(exp(x)/(x^2*ln(1/x)+x^2))^2+((-90*x+180)*exp(x)*ln(1/x)+(-90*x+90)*exp(x))*exp(exp(x)/(x^2*ln(1/x)+x^2)))/(9*x^3*ln(1/x)^2+18*x^3*ln(1/x)+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{25 \,{\mathrm e}^{-\frac{2 \,{\mathrm e}^{x}}{x^{2} \left(\ln \left(x \right)-1\right)}}}{9}-10 \,{\mathrm e}^{-\frac{{\mathrm e}^{x}}{x^{2} \left(\ln \left(x \right)-1\right)}}$&$34$\\ \hline \end{longtable}"," ",0,"25/9*exp(-2*exp(x)/x^2/(ln(x)-1))-10*exp(-exp(x)/x^2/(ln(x)-1))","A"
9777,1,22,26,0.036000," ","int(((-4*exp(4+x)+4*x^2-x+6)*ln(exp(4+x)-x^2+1/4*x-3/2)+(4*x^2+4*x)*exp(4+x)-4*x^4+x^3-14*x^2+x)*exp((ln(exp(4+x)-x^2+1/4*x-3/2)+x^2)/x)/(4*x^2*exp(4+x)-4*x^4+x^3-6*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{4+x}-x^{2}+\frac{x}{4}-\frac{3}{2}\right)^{\frac{1}{x}} {\mathrm e}^{x}$&$22$\\ \hline \end{longtable}"," ",0,"(exp(4+x)-x^2+1/4*x-3/2)^(1/x)*exp(x)","A"
9778,1,14,15,0.082000," ","int(-4*exp(-ln(x)+exp(exp(2))^4)^2/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \,{\mathrm e}^{2 \,{\mathrm e}^{4 \,{\mathrm e}^{2}}}}{x^{2}}$&$14$\\ risch&$\frac{2 \,{\mathrm e}^{2 \,{\mathrm e}^{4 \,{\mathrm e}^{2}}}}{x^{2}}$&$14$\\ gosper&$\frac{2 \,{\mathrm e}^{2 \,{\mathrm e}^{4 \,{\mathrm e}^{2}}}}{x^{2}}$&$16$\\ derivativedivides&$\frac{2 \,{\mathrm e}^{2 \,{\mathrm e}^{4 \,{\mathrm e}^{2}}}}{x^{2}}$&$16$\\ default&$\frac{2 \,{\mathrm e}^{2 \,{\mathrm e}^{4 \,{\mathrm e}^{2}}}}{x^{2}}$&$16$\\ \hline \end{longtable}"," ",0,"2*exp(exp(exp(2))^4)^2/x^2","A"
9779,1,33,24,0.091000," ","int(1/2*((((-x^4-x^3)*exp(1/x^2)*exp(x)+2*exp(1/x^2))*exp(exp(x)*x)+(x^3-2*x-6)*exp(1/x^2))*exp(-1/2*exp(1/x^2)*exp(exp(x)*x)+1/2*(3+x)*exp(1/x^2))+2*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-\frac{{\mathrm e}^{\frac{1+{\mathrm e}^{x} x^{3}}{x^{2}}}}{2}+\frac{x \,{\mathrm e}^{\frac{1}{x^{2}}}}{2}+\frac{3 \,{\mathrm e}^{\frac{1}{x^{2}}}}{2}}$&$33$\\ \hline \end{longtable}"," ",0,"x+exp(-1/2*exp((1+exp(x)*x^3)/x^2)+1/2*x*exp(1/x^2)+3/2*exp(1/x^2))","A"
9780,1,39,22,0.086000," ","int(((-2*x^2*ln(x)*ln(3*x)^2-2*x^2*ln(x)*ln(3*x))*exp(-x^2*ln(3*x)^2+exp(4)+40)*ln(ln(x))-exp(-x^2*ln(3*x)^2+exp(4)+40))/x/ln(x)/ln(ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{-2 x^{2} \ln \left(3\right)} {\mathrm e}^{-x^{2} \ln \left(x \right)^{2}+40-x^{2} \ln \left(3\right)^{2}+{\mathrm e}^{4}}}{\ln \left(\ln \left(x \right)\right)}$&$39$\\ \hline \end{longtable}"," ",0,"x^(-2*x^2*ln(3))*exp(-x^2*ln(x)^2+40-x^2*ln(3)^2+exp(4))/ln(ln(x))","A"
9781,1,15,13,0.071000," ","int(((2*x-4)*exp(3+x)-4)/(exp(3+x)*x+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-4 \ln \left(x \right)+2 \ln \left({\mathrm e}^{3+x}+1\right)$&$15$\\ risch&$-4 \ln \left(x \right)-6+2 \ln \left({\mathrm e}^{3+x}+1\right)$&$16$\\ \hline \end{longtable}"," ",0,"-4*ln(x)+2*ln(exp(3+x)+1)","A"
9782,1,68,38,0.126000," ","int(((19600*x^2-38125)*ln(x)^4+(-156800*x^2+425000)*ln(x)^3+(470400*x^2-84000*x-1605000)*ln(x)^2+(-627200*x^2+336000*x+2360000)*ln(x)+313600*x^2-336000*x-1090000)/((614656*x^4-3473120*x^3+7297425*x^2-6755750*x+2325625)*ln(x)^4+(-4917248*x^4+33053440*x^3-80790600*x^2+85558000*x-33245000)*ln(x)^3+(14751744*x^4-114965760*x^3+326539800*x^2-399414000*x+177675000)*ln(x)^2+(-19668992*x^4+174361600*x^3-570189600*x^2+811336000*x-420740000)*ln(x)+9834496*x^4-97717760*x^3+363786000*x^2-601388000*x+372490000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-100 x -25 x \ln \left(x \right)^{2}+100 x \ln \left(x \right)}{784 x^{2} \ln \left(x \right)^{2}-2215 x \ln \left(x \right)^{2}-3136 x^{2} \ln \left(x \right)+1525 \ln \left(x \right)^{2}+12220 x \ln \left(x \right)+3136 x^{2}-10900 \ln \left(x \right)-15580 x +19300}$&$68$\\ risch&$-\frac{25 x}{784 x^{2}-2215 x +1525}+\frac{6000 x \left(14 x \ln \left(x \right)-28 x -20 \ln \left(x \right)+55\right)}{\left(784 x^{2}-2215 x +1525\right) \left(784 x^{2} \ln \left(x \right)^{2}-2215 x \ln \left(x \right)^{2}-3136 x^{2} \ln \left(x \right)+1525 \ln \left(x \right)^{2}+12220 x \ln \left(x \right)+3136 x^{2}-10900 \ln \left(x \right)-15580 x +19300\right)}$&$96$\\ \hline \end{longtable}"," ",0,"(-100*x-25*x*ln(x)^2+100*x*ln(x))/(784*x^2*ln(x)^2-2215*x*ln(x)^2-3136*x^2*ln(x)+1525*ln(x)^2+12220*x*ln(x)+3136*x^2-10900*ln(x)-15580*x+19300)","A"
9783,1,185,26,1.354000," ","int((((-8*x^3+8*x^2-200*x+200)*exp(x)^2-4*x^2+8*x+100)*exp(ln(x-1)-exp(x)^2+2)^4+((-72*x^3+72*x^2-1800*x+1800)*exp(x)^2-60*x^2+96*x+900)*exp(ln(x-1)-exp(x)^2+2)^3+((-216*x^3+216*x^2-5400*x+5400)*exp(x)^2-324*x^2+432*x+2700)*exp(ln(x-1)-exp(x)^2+2)^2+((-216*x^3+216*x^2-5400*x+5400)*exp(x)^2-756*x^2+864*x+2700)*exp(ln(x-1)-exp(x)^2+2)-648*x^2+648*x)*exp((exp(ln(x-1)-exp(x)^2+2)^4+12*exp(ln(x-1)-exp(x)^2+2)^3+54*exp(ln(x-1)-exp(x)^2+2)^2+108*exp(ln(x-1)-exp(x)^2+2)+81)/(x^8+100*x^6+3750*x^4+62500*x^2+390625))/(x^11-x^10+125*x^9-125*x^8+6250*x^7-6250*x^6+156250*x^5-156250*x^4+1953125*x^3-1953125*x^2+9765625*x-9765625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{{\mathrm e}^{8-4 \,{\mathrm e}^{2 x}} x^{4}-4 \,{\mathrm e}^{8-4 \,{\mathrm e}^{2 x}} x^{3}+12 \,{\mathrm e}^{6-3 \,{\mathrm e}^{2 x}} x^{3}+6 \,{\mathrm e}^{8-4 \,{\mathrm e}^{2 x}} x^{2}-36 \,{\mathrm e}^{6-3 \,{\mathrm e}^{2 x}} x^{2}+54 \,{\mathrm e}^{-2 \,{\mathrm e}^{2 x}+4} x^{2}-4 \,{\mathrm e}^{8-4 \,{\mathrm e}^{2 x}} x +36 \,{\mathrm e}^{6-3 \,{\mathrm e}^{2 x}} x -108 \,{\mathrm e}^{-2 \,{\mathrm e}^{2 x}+4} x +108 \,{\mathrm e}^{2-{\mathrm e}^{2 x}} x +{\mathrm e}^{8-4 \,{\mathrm e}^{2 x}}-12 \,{\mathrm e}^{6-3 \,{\mathrm e}^{2 x}}+54 \,{\mathrm e}^{-2 \,{\mathrm e}^{2 x}+4}-108 \,{\mathrm e}^{2-{\mathrm e}^{2 x}}+81}{\left(x^{2}+25\right)^{4}}}$&$185$\\ \hline \end{longtable}"," ",0,"exp((exp(8-4*exp(2*x))*x^4-4*exp(8-4*exp(2*x))*x^3+12*exp(6-3*exp(2*x))*x^3+6*exp(8-4*exp(2*x))*x^2-36*exp(6-3*exp(2*x))*x^2+54*exp(-2*exp(2*x)+4)*x^2-4*exp(8-4*exp(2*x))*x+36*exp(6-3*exp(2*x))*x-108*exp(-2*exp(2*x)+4)*x+108*exp(2-exp(2*x))*x+exp(8-4*exp(2*x))-12*exp(6-3*exp(2*x))+54*exp(-2*exp(2*x)+4)-108*exp(2-exp(2*x))+81)/(x^2+25)^4)","B"
9784,0,0,28,0.046000," ","int((((8*x^2-12*x)*exp(x)-24*x+36)*ln((exp(x)*x-3)/exp(x))+((4*x^2-12*x)*exp(x)+12*x^2-36*x)*ln(1/3*x^2-x)+((-5*x^3+15*x^2)*exp(x)+15*x^2-45*x)*exp(5*x))/((x^3-3*x^2)*exp(x)-3*x^2+9*x),x)","\[\int \frac{\left(\left(8 x^{2}-12 x \right) {\mathrm e}^{x}-24 x +36\right) \ln \left(\left({\mathrm e}^{x} x -3\right) {\mathrm e}^{-x}\right)+\left(\left(4 x^{2}-12 x \right) {\mathrm e}^{x}+12 x^{2}-36 x \right) \ln \left(\frac{1}{3} x^{2}-x \right)+\left(\left(-5 x^{3}+15 x^{2}\right) {\mathrm e}^{x}+15 x^{2}-45 x \right) {\mathrm e}^{5 x}}{\left(x^{3}-3 x^{2}\right) {\mathrm e}^{x}-3 x^{2}+9 x}\, dx\]"," ",0,"int((((8*x^2-12*x)*exp(x)-24*x+36)*ln((exp(x)*x-3)/exp(x))+((4*x^2-12*x)*exp(x)+12*x^2-36*x)*ln(1/3*x^2-x)+((-5*x^3+15*x^2)*exp(x)+15*x^2-45*x)*exp(5*x))/((x^3-3*x^2)*exp(x)-3*x^2+9*x),x)","F"
9785,1,26,29,0.336000," ","int(((-x^2-4*x-4)*exp(x/(4+x)/exp(2-x)/ln(exp(1)-9)^2)+(2*x^2+16*x+32)*exp(2-x)*ln(exp(1)-9)^2)/(x^2+8*x+16)/exp(2-x)/ln(exp(1)-9)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -{\mathrm e}^{\frac{x \,{\mathrm e}^{x -2}}{\left(4+x \right) \ln \left({\mathrm e}-9\right)^{2}}}$&$26$\\ norman&$\frac{\left(-32 \,{\mathrm e}^{2-x} \ln \left({\mathrm e}-9\right)-4 \,{\mathrm e}^{2-x} \ln \left({\mathrm e}-9\right) {\mathrm e}^{\frac{x \,{\mathrm e}^{x -2}}{\left(4+x \right) \ln \left({\mathrm e}-9\right)^{2}}}+2 \ln \left({\mathrm e}-9\right) x^{2} {\mathrm e}^{2-x}-\ln \left({\mathrm e}-9\right) x \,{\mathrm e}^{2-x} {\mathrm e}^{\frac{x \,{\mathrm e}^{x -2}}{\left(4+x \right) \ln \left({\mathrm e}-9\right)^{2}}}\right) {\mathrm e}^{x -2}}{\left(4+x \right) \ln \left({\mathrm e}-9\right)}$&$125$\\ \hline \end{longtable}"," ",0,"2*x-exp(x/(4+x)*exp(x-2)/ln(exp(1)-9)^2)","A"
9786,1,44,28,0.110000," ","int(((-x^5-x^4+8*x^3+8*x^2)*ln(x^2+x)-2*x^5-25*x^4-29*x^3-33*x^2-48*x-24)/(4*x^5+4*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x^{2}+8\right) \ln \left(x^{2}+x \right)}{4 x}-\frac{12 \ln \left(x^{2}+x \right) x^{3}-x^{2}-12 x -8}{4 x^{3}}$&$44$\\ default&$-\frac{x \ln \left(x^{2}+x \right)}{4}-3 \ln \left(x +1\right)-\frac{2 \ln \left(x^{2}+x \right)}{x}+\frac{1}{4 x}-3 \ln \left(x \right)+\frac{2}{x^{3}}+\frac{3}{x^{2}}$&$47$\\ norman&$\frac{2-3 \ln \left(x^{2}+x \right) x^{3}+3 x +\frac{x^{2}}{4}-2 x^{2} \ln \left(x^{2}+x \right)-\frac{\ln \left(x^{2}+x \right) x^{4}}{4}}{x^{3}}$&$48$\\ \hline \end{longtable}"," ",0,"-1/4*(x^2+8)/x*ln(x^2+x)-1/4*(12*ln(x^2+x)*x^3-x^2-12*x-8)/x^3","A"
9787,1,19,15,0.029000," ","int(1/5*(-3*x^3*ln(x)+5*exp(3)-7*x^3)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{3} \ln \left(x \right)}{5}-\frac{2 x^{3}}{5}+\ln \left(x \right) {\mathrm e}^{3}$&$19$\\ norman&$-\frac{x^{3} \ln \left(x \right)}{5}-\frac{2 x^{3}}{5}+\ln \left(x \right) {\mathrm e}^{3}$&$19$\\ risch&$-\frac{x^{3} \ln \left(x \right)}{5}-\frac{2 x^{3}}{5}+\ln \left(x \right) {\mathrm e}^{3}$&$19$\\ \hline \end{longtable}"," ",0,"-1/5*x^3*ln(x)-2/5*x^3+ln(x)*exp(3)","A"
9788,1,16,17,0.125000," ","int((-10*exp(x)+x^3-3*x^2+2*x)/(5*x^2-20*x+20)/exp(x)/exp(1/5*x/exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{-\frac{x \,{\mathrm e}^{-x}}{5}}}{x -2}$&$16$\\ norman&$\frac{x \,{\mathrm e}^{-\frac{x \,{\mathrm e}^{-x}}{5}}}{x -2}$&$18$\\ \hline \end{longtable}"," ",0,"x/(x-2)*exp(-1/5*x*exp(-x))","A"
9789,1,13,20,0.016000," ","int(exp(x)*exp(exp(x))-5/3*x-27/10,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{27 x}{10}+{\mathrm e}^{{\mathrm e}^{x}}-\frac{5 x^{2}}{6}$&$13$\\ norman&$-\frac{27 x}{10}+{\mathrm e}^{{\mathrm e}^{x}}-\frac{5 x^{2}}{6}$&$13$\\ risch&$-\frac{27 x}{10}+{\mathrm e}^{{\mathrm e}^{x}}-\frac{5 x^{2}}{6}$&$13$\\ \hline \end{longtable}"," ",0,"-27/10*x+exp(exp(x))-5/6*x^2","A"
9790,1,58,20,0.077000," ","int((2*exp(x)^2*ln(x)^5+(30*exp(x)^3-2590*exp(x)^2)*ln(x)^4+(180*exp(x)^4-31080*exp(x)^3+1341620*exp(x)^2+(-2*x-2)*exp(x))*ln(x)^3+(540*exp(x)^5-139860*exp(x)^4+12074580*exp(x)^3+(-6*x-347479598)*exp(x)^2+(1554*x+1558)*exp(x))*ln(x)^2+(810*exp(x)^6-279720*exp(x)^5+36223740*exp(x)^4+(18*x-2084877534)*exp(x)^3+(3108*x+44998614958)*exp(x)^2+(-402486*x-404558)*exp(x)+2*x)*ln(x)+486*exp(x)^7-209790*exp(x)^6+36223740*exp(x)^5+(54*x-3127316274)*exp(x)^4+(-4662*x+134995830852)*exp(x)^3+(-402486*x-2330928984272)*exp(x)^2+(-12*x^2+34747964*x+35016282)*exp(x)-522*x)/(ln(x)^5+(15*exp(x)-1295)*ln(x)^4+(90*exp(x)^2-15540*exp(x)+670810)*ln(x)^3+(270*exp(x)^3-69930*exp(x)^2+6037290*exp(x)-173739790)*ln(x)^2+(405*exp(x)^4-139860*exp(x)^3+18111870*exp(x)^2-1042438740*exp(x)+22499302805)*ln(x)+243*exp(x)^5-104895*exp(x)^4+18111870*exp(x)^3-1563658110*exp(x)^2+67497908415*exp(x)-1165463885299),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x}+\frac{x \left(-18 \,{\mathrm e}^{3 x}-12 \ln \left(x \right) {\mathrm e}^{2 x}-2 \,{\mathrm e}^{x} \ln \left(x \right)^{2}+3108 \,{\mathrm e}^{2 x}+1036 \,{\mathrm e}^{x} \ln \left(x \right)+x -134162 \,{\mathrm e}^{x}\right)}{\left(\ln \left(x \right)+3 \,{\mathrm e}^{x}-259\right)^{4}}$&$58$\\ \hline \end{longtable}"," ",0,"exp(2*x)+x*(-18*exp(3*x)-12*ln(x)*exp(2*x)-2*exp(x)*ln(x)^2+3108*exp(2*x)+1036*exp(x)*ln(x)+x-134162*exp(x))/(ln(x)+3*exp(x)-259)^4","B"
9791,1,29,23,0.077000," ","int(((32*x^3*exp(2)^2+5+2*x)*ln(2)+160*x^3*exp(2)^2+8*x+25)/(32*x^3*exp(2)^2*ln(2)+160*x^3*exp(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(\left(-\frac{\ln \left(2\right)}{16}-\frac{1}{4}\right) x -\frac{5 \ln \left(2\right)}{64}-\frac{25}{64}\right) {\mathrm e}^{-4}}{x^{2} \left(\ln \left(2\right)+5\right)}$&$29$\\ norman&$\frac{\left(x^{3} {\mathrm e}^{2}-\frac{5 \,{\mathrm e}^{-2}}{64}-\frac{\left(4+\ln \left(2\right)\right) {\mathrm e}^{-2} x}{16 \left(\ln \left(2\right)+5\right)}\right) {\mathrm e}^{-2}}{x^{2}}$&$39$\\ default&$\frac{{\mathrm e}^{-4} \left(32 x \,{\mathrm e}^{4} \ln \left(2\right)+160 x \,{\mathrm e}^{4}-\frac{5 \ln \left(2\right)+25}{2 x^{2}}-\frac{8+2 \ln \left(2\right)}{x}\right)}{32 \ln \left(2\right)+160}$&$48$\\ gosper&$\frac{\left(64 x^{3} {\mathrm e}^{4} \ln \left(2\right)+320 x^{3} {\mathrm e}^{4}-4 x \ln \left(2\right)-5 \ln \left(2\right)-16 x -25\right) {\mathrm e}^{-4}}{64 x^{2} \left(\ln \left(2\right)+5\right)}$&$50$\\ \hline \end{longtable}"," ",0,"x+((-1/16*ln(2)-1/4)*x-5/64*ln(2)-25/64)/x^2*exp(-4)/(ln(2)+5)","A"
9792,1,16,15,0.043000," ","int((-10*exp(ln(x)+ln(5)-2)^2+30*exp(ln(x)+ln(5)-2))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-125 \,{\mathrm e}^{-4} x^{2}+150 x \,{\mathrm e}^{-2}$&$16$\\ norman&$\left(150 x -125 x^{2} {\mathrm e}^{-2}\right) {\mathrm e}^{-2}$&$19$\\ derivativedivides&$-125 \,{\mathrm e}^{-4} x^{2}+30 \,{\mathrm e}^{\ln \left(x \right)+\ln \left(5\right)-2}$&$22$\\ default&$-125 \,{\mathrm e}^{-4} x^{2}+30 \,{\mathrm e}^{\ln \left(x \right)+\ln \left(5\right)-2}$&$22$\\ \hline \end{longtable}"," ",0,"-125*exp(-2)^2*x^2+150*x*exp(-2)","A"
9793,1,63,31,0.092000," ","int(((2048*x^7*ln(2)^2-2048*x^8)*ln(ln(2)^2-x)^5+(53248*x^7*ln(2)^2-53248*x^8)*ln(ln(2)^2-x)^4+(553728*x^7*ln(2)^2-553472*x^8)*ln(ln(2)^2-x)^3+(2878848*x^7*ln(2)^2-2874816*x^8)*ln(ln(2)^2-x)^2+(7482888*x^7*ln(2)^2-7461720*x^8)*ln(ln(2)^2-x)+7779240*x^7*ln(2)^2-7742196*x^8)/((ln(2)^2-x)*ln(ln(2)^2-x)^5+(25*ln(2)^2-25*x)*ln(ln(2)^2-x)^4+(250*ln(2)^2-250*x)*ln(ln(2)^2-x)^3+(1250*ln(2)^2-1250*x)*ln(ln(2)^2-x)^2+(3125*ln(2)^2-3125*x)*ln(ln(2)^2-x)+3125*ln(2)^2-3125*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$256 x^{8}+\frac{x^{8} \left(256 \ln \left(\ln \left(2\right)^{2}-x \right)^{3}+3936 \ln \left(\ln \left(2\right)^{2}-x \right)^{2}+20176 \ln \left(\ln \left(2\right)^{2}-x \right)+34481\right)}{\left(5+\ln \left(\ln \left(2\right)^{2}-x \right)\right)^{4}}$&$63$\\ \hline \end{longtable}"," ",0,"256*x^8+x^8*(256*ln(ln(2)^2-x)^3+3936*ln(ln(2)^2-x)^2+20176*ln(ln(2)^2-x)+34481)/(5+ln(ln(2)^2-x))^4","A"
9794,1,38,25,0.042000," ","int(((-x^4-768)*exp(9)+6*x^6+22*x^5+3*x^4+512*x^2+5632*x+2304)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{3}-x \,{\mathrm e}^{9}+11 x^{2}+3 x +\frac{-512 x^{2}+256 \,{\mathrm e}^{9}-2816 x -768}{x^{3}}$&$38$\\ norman&$\frac{\left(-{\mathrm e}^{9}+3\right) x^{4}-2816 x -512 x^{2}+11 x^{5}+2 x^{6}+256 \,{\mathrm e}^{9}-768}{x^{3}}$&$39$\\ gosper&$-\frac{-2 x^{6}+x^{4} {\mathrm e}^{9}-11 x^{5}-3 x^{4}+512 x^{2}-256 \,{\mathrm e}^{9}+2816 x +768}{x^{3}}$&$41$\\ default&$2 x^{3}+11 x^{2}-x \,{\mathrm e}^{9}+3 x -\frac{2816}{x^{2}}-\frac{512}{x}-\frac{-768 \,{\mathrm e}^{9}+2304}{3 x^{3}}$&$41$\\ \hline \end{longtable}"," ",0,"2*x^3-x*exp(9)+11*x^2+3*x+(-512*x^2+256*exp(9)-2816*x-768)/x^3","A"
9795,1,189,20,0.711000," ","int((3*ln(x^2)*ln(ln(x^2))+(-x*exp(x)*ln(-2*x^3*ln(3))+3*exp(x))*ln(x^2)-2*ln(-2*x^3*ln(3)))/(x*ln(-2*x^3*ln(3))*ln(x^2)*ln(ln(x^2))+x*exp(x)*ln(-2*x^3*ln(3))*ln(x^2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)-\frac{i \left(\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+2 \pi  \mathrm{csgn}\left(i x^{3}\right)^{2}-\pi  \mathrm{csgn}\left(i x^{3}\right)^{3}+2 i \ln \left(2\right)+2 i \ln \left(\ln \left(3\right)\right)-2 \pi \right)}{6}\right)-\ln \left({\mathrm e}^{x}+\ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)\right)$&$189$\\ \hline \end{longtable}"," ",0,"ln(ln(x)-1/6*I*(Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2+Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)-Pi*csgn(I*x)*csgn(I*x^3)^2+Pi*csgn(I*x^2)^3-Pi*csgn(I*x^2)*csgn(I*x^3)^2+2*Pi*csgn(I*x^3)^2-Pi*csgn(I*x^3)^3+2*I*ln(2)+2*I*ln(ln(3))-2*Pi))-ln(exp(x)+ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2))","C"
9796,1,43,18,0.065000," ","int(((6*x^2*exp(5)+18*x)*exp(1/3*x*exp(5))^2+((2*x^2+4*x)*exp(3)*exp(5)+(12*x+12)*exp(3))*exp(1/3*x*exp(5))+(2*x+4)*exp(3)^2)/exp(3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+4 x +9 x^{2} {\mathrm e}^{-6+\frac{2 x \,{\mathrm e}^{5}}{3}}+\left(6 x^{2} {\mathrm e}^{3}+12 x \,{\mathrm e}^{3}\right) {\mathrm e}^{-6+\frac{x \,{\mathrm e}^{5}}{3}}$&$43$\\ norman&$\left(x^{2} {\mathrm e}^{3}+4 x \,{\mathrm e}^{3}+12 x \,{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}}+6 x^{2} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}}+9 x^{2} {\mathrm e}^{-3} {\mathrm e}^{\frac{2 x \,{\mathrm e}^{5}}{3}}\right) {\mathrm e}^{-3}$&$55$\\ derivativedivides&$3 \,{\mathrm e}^{-6} {\mathrm e}^{-5} \left({\mathrm e}^{6} \left(\frac{x^{2} {\mathrm e}^{5}}{3}+\frac{4 x \,{\mathrm e}^{5}}{3}\right)+54 \,{\mathrm e}^{-5} \left(\frac{{\mathrm e}^{5} {\mathrm e}^{\frac{2 x \,{\mathrm e}^{5}}{3}} x}{6}-\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{5}}{3}}}{4}\right)+54 \,{\mathrm e}^{-5} \left(\frac{{\mathrm e}^{10} {\mathrm e}^{\frac{2 x \,{\mathrm e}^{5}}{3}} x^{2}}{18}-\frac{{\mathrm e}^{5} {\mathrm e}^{\frac{2 x \,{\mathrm e}^{5}}{3}} x}{6}+\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{5}}{3}}}{4}\right)+12 \,{\mathrm e}^{3} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}}+12 \,{\mathrm e}^{3} \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}} x \,{\mathrm e}^{5}}{3}-{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}}\right)+36 \,{\mathrm e}^{3} {\mathrm e}^{-5} \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}} x \,{\mathrm e}^{5}}{3}-{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}}\right)+18 \,{\mathrm e}^{3} {\mathrm e}^{-5} \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}} x^{2} {\mathrm e}^{10}}{9}-\frac{2 \,{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}} x \,{\mathrm e}^{5}}{3}+2 \,{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}}\right)\right)$&$212$\\ default&${\mathrm e}^{-6} \left({\mathrm e}^{6} \left(x^{2}+4 x \right)+162 \,{\mathrm e}^{-5} \left({\mathrm e}^{-5} \left(\frac{{\mathrm e}^{5} {\mathrm e}^{\frac{2 x \,{\mathrm e}^{5}}{3}} x}{6}-\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{5}}{3}}}{4}\right)+{\mathrm e}^{-5} \left(\frac{{\mathrm e}^{10} {\mathrm e}^{\frac{2 x \,{\mathrm e}^{5}}{3}} x^{2}}{18}-\frac{{\mathrm e}^{5} {\mathrm e}^{\frac{2 x \,{\mathrm e}^{5}}{3}} x}{6}+\frac{{\mathrm e}^{\frac{2 x \,{\mathrm e}^{5}}{3}}}{4}\right)\right)+3 \,{\mathrm e}^{-5} \left(12 \,{\mathrm e}^{3} {\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}}+12 \,{\mathrm e}^{3} \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}} x \,{\mathrm e}^{5}}{3}-{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}}\right)+36 \,{\mathrm e}^{3} {\mathrm e}^{-5} \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}} x \,{\mathrm e}^{5}}{3}-{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}}\right)+18 \,{\mathrm e}^{3} {\mathrm e}^{-5} \left(\frac{{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}} x^{2} {\mathrm e}^{10}}{9}-\frac{2 \,{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}} x \,{\mathrm e}^{5}}{3}+2 \,{\mathrm e}^{\frac{x \,{\mathrm e}^{5}}{3}}\right)\right)\right)$&$213$\\ \hline \end{longtable}"," ",0,"x^2+4*x+9*x^2*exp(-6+2/3*x*exp(5))+(6*x^2*exp(3)+12*x*exp(3))*exp(-6+1/3*x*exp(5))","B"
9797,1,16,19,0.133000," ","int((-2*exp(x/(2*x-4))^2+4*x^5-16*x^4+16*x^3+4*x^2-16*x+16)/(x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x +x^{4}+{\mathrm e}^{\frac{x}{x -2}}$&$16$\\ derivativedivides&$36 x -72+\left(x -2\right)^{4}+8 \left(x -2\right)^{3}+24 \left(x -2\right)^{2}+{\mathrm e}^{1+\frac{2}{x -2}}$&$35$\\ default&$36 x -72+\left(x -2\right)^{4}+8 \left(x -2\right)^{3}+24 \left(x -2\right)^{2}+{\mathrm e}^{1+\frac{2}{x -2}}$&$35$\\ norman&$\frac{x^{5}+x \,{\mathrm e}^{\frac{2 x}{2 x -4}}+4 x^{2}-2 x^{4}-2 \,{\mathrm e}^{\frac{2 x}{2 x -4}}-16}{x -2}$&$50$\\ \hline \end{longtable}"," ",0,"4*x+x^4+exp(x/(x-2))","A"
9798,1,21,18,0.108000," ","int(((12*x^3-18*x^2-6*x+9)*ln((2*x^2-1)/x^2)+6-6*x)/(4*x^6-2*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 \left(x -1\right) \ln \left(\frac{2 x^{2}-1}{x^{2}}\right)}{2 x^{3}}$&$21$\\ norman&$\frac{-\frac{3 \ln \left(\frac{2 x^{2}-1}{x^{2}}\right) x}{2}+\frac{3 \ln \left(\frac{2 x^{2}-1}{x^{2}}\right)}{2}}{x^{3}}$&$35$\\ derivativedivides&$-3 \ln \left(\frac{1}{x^{2}}-2\right)+\frac{3 \ln \left(2-\frac{1}{x^{2}}\right) \left(2-\frac{1}{x^{2}}\right)}{2}-3+\frac{3 \ln \left(2-\frac{1}{x^{2}}\right)}{2 x^{3}}$&$41$\\ default&$-3 \ln \left(\frac{1}{x^{2}}-2\right)+\frac{3 \ln \left(2-\frac{1}{x^{2}}\right) \left(2-\frac{1}{x^{2}}\right)}{2}-3+\frac{3 \ln \left(2-\frac{1}{x^{2}}\right)}{2 x^{3}}$&$41$\\ \hline \end{longtable}"," ",0,"-3/2*(x-1)/x^3*ln((2*x^2-1)/x^2)","A"
9799,1,26,21,0.127000," ","int((12*exp(4)-36)*ln(4*exp(2)^2-4*exp(2)*x+x^2)/(2*exp(2)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-3 \,{\mathrm e}^{4}+9\right) \ln \left(4 \,{\mathrm e}^{4}-4 \,{\mathrm e}^{2} x +x^{2}\right)^{2}$&$26$\\ default&$\left(12 \,{\mathrm e}^{4}-36\right) \left(-\ln \left(-2 \,{\mathrm e}^{2}+x \right) \ln \left(4 \,{\mathrm e}^{4}-4 \,{\mathrm e}^{2} x +x^{2}\right)+\ln \left(-2 \,{\mathrm e}^{2}+x \right)^{2}\right)$&$43$\\ risch&$-\left(12 \,{\mathrm e}^{4}-36\right) \ln \left(-2 \,{\mathrm e}^{2}+x \right) \ln \left(4 \,{\mathrm e}^{4}-4 \,{\mathrm e}^{2} x +x^{2}\right)+12 \ln \left(-2 \,{\mathrm e}^{2}+x \right)^{2} {\mathrm e}^{4}-36 \ln \left(-2 \,{\mathrm e}^{2}+x \right)^{2}$&$55$\\ \hline \end{longtable}"," ",0,"(-3*exp(4)+9)*ln(4*exp(2)^2-4*exp(2)*x+x^2)^2","A"
9800,1,37,24,0.108000," ","int((((x+1)*exp(x)-4)*exp(exp(16))+(-3*x^2+2*x)*ln(5)-8*x)*exp(((exp(x)*x-4*x)*exp(exp(16))+(-x^3+x^2)*ln(5)-4*x^2)/exp(exp(16)))/exp(exp(16)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-x \left(x^{2} \ln \left(5\right)-x \ln \left(5\right)-{\mathrm e}^{x +{\mathrm e}^{16}}+4 \,{\mathrm e}^{{\mathrm e}^{16}}+4 x \right) {\mathrm e}^{-{\mathrm e}^{16}}}$&$37$\\ norman&${\mathrm e}^{\left(\left({\mathrm e}^{x} x -4 x \right) {\mathrm e}^{{\mathrm e}^{16}}+\left(-x^{3}+x^{2}\right) \ln \left(5\right)-4 x^{2}\right) {\mathrm e}^{-{\mathrm e}^{16}}}$&$38$\\ \hline \end{longtable}"," ",0,"exp(-x*(x^2*ln(5)-x*ln(5)-exp(x+exp(16))+4*exp(exp(16))+4*x)*exp(-exp(16)))","A"
9801,1,28,28,0.100000," ","int((18*exp(2)^2+(288*x+1458)*exp(1)^2)*exp(16*x^2+160*x+400)*exp((x*exp(2)^2+x*exp(1)^2)/exp(1)^2)^2/exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$9 \,{\mathrm e}^{2 x \,{\mathrm e}^{-2} {\mathrm e}^{2}+2 x \,{\mathrm e}^{-2} {\mathrm e}^{4}+16 x^{2}+160 x +400}$&$28$\\ gosper&$9 \,{\mathrm e}^{16 x^{2}+160 x +400} {\mathrm e}^{2 x \left({\mathrm e}^{2}+{\mathrm e}^{4}\right) {\mathrm e}^{-2}}$&$32$\\ norman&$9 \,{\mathrm e}^{16 x^{2}+160 x +400} {\mathrm e}^{2 \left(x \,{\mathrm e}^{4}+{\mathrm e}^{2} x \right) {\mathrm e}^{-2}}$&$35$\\ default&${\mathrm e}^{-2} \left(-\frac{729 i \sqrt{\pi}\, {\mathrm e}^{402-\frac{\left(2 \,{\mathrm e}^{2}+162\right)^{2}}{64}} \erf \left(4 i x +\frac{i \left(2 \,{\mathrm e}^{2}+162\right)}{8}\right)}{4}-\frac{9 i \sqrt{\pi}\, {\mathrm e}^{404-\frac{\left(2 \,{\mathrm e}^{2}+162\right)^{2}}{64}} \erf \left(4 i x +\frac{i \left(2 \,{\mathrm e}^{2}+162\right)}{8}\right)}{4}+9 \,{\mathrm e}^{402+16 x^{2}+\left(2 \,{\mathrm e}^{2}+162\right) x}+\frac{9 i \left(2 \,{\mathrm e}^{2}+162\right) \sqrt{\pi}\, {\mathrm e}^{402-\frac{\left(2 \,{\mathrm e}^{2}+162\right)^{2}}{64}} \erf \left(4 i x +\frac{i \left(2 \,{\mathrm e}^{2}+162\right)}{8}\right)}{8}\right)$&$133$\\ \hline \end{longtable}"," ",0,"9*exp(2*x*exp(-2)*exp(2)+2*x*exp(-2)*exp(4)+16*x^2+160*x+400)","A"
9802,1,35,18,0.094000," ","int(((48*x^2*exp(1)+48*x^3)*exp(4)^2*ln(x+exp(1))^2+(1536*x^2*exp(1)+1568*x^3)*exp(4)^2*ln(x+exp(1))+(12288*x^2*exp(1)+12800*x^3)*exp(4)^2)/(x+exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$16 x^{3} {\mathrm e}^{8} \ln \left(x +{\mathrm e}\right)^{2}+512 x^{3} {\mathrm e}^{8} \ln \left(x +{\mathrm e}\right)+4096 x^{3} {\mathrm e}^{8}$&$35$\\ norman&$16 x^{3} {\mathrm e}^{8} \ln \left(x +{\mathrm e}\right)^{2}+512 x^{3} {\mathrm e}^{8} \ln \left(x +{\mathrm e}\right)+4096 x^{3} {\mathrm e}^{8}$&$41$\\ derivativedivides&$48 \,{\mathrm e}^{8} {\mathrm e}^{2} \left(\left(x +{\mathrm e}\right) \ln \left(x +{\mathrm e}\right)^{2}-2 \left(x +{\mathrm e}\right) \ln \left(x +{\mathrm e}\right)+2 x +2 \,{\mathrm e}\right)-96 \,{\mathrm e}^{8} {\mathrm e} \left(\frac{\left(x +{\mathrm e}\right)^{2} \ln \left(x +{\mathrm e}\right)^{2}}{2}-\frac{\left(x +{\mathrm e}\right)^{2} \ln \left(x +{\mathrm e}\right)}{2}+\frac{\left(x +{\mathrm e}\right)^{2}}{4}\right)+48 \,{\mathrm e}^{8} \left(\frac{\ln \left(x +{\mathrm e}\right)^{2} \left(x +{\mathrm e}\right)^{3}}{3}-\frac{2 \ln \left(x +{\mathrm e}\right) \left(x +{\mathrm e}\right)^{3}}{9}+\frac{2 \left(x +{\mathrm e}\right)^{3}}{27}\right)-16 \,{\mathrm e}^{8} {\mathrm e}^{3} \ln \left(x +{\mathrm e}\right)^{2}+1632 \,{\mathrm e}^{8} {\mathrm e}^{2} \left(\left(x +{\mathrm e}\right) \ln \left(x +{\mathrm e}\right)-x -{\mathrm e}\right)-3168 \,{\mathrm e}^{8} {\mathrm e} \left(\frac{\left(x +{\mathrm e}\right)^{2} \ln \left(x +{\mathrm e}\right)}{2}-\frac{\left(x +{\mathrm e}\right)^{2}}{4}\right)+1568 \,{\mathrm e}^{8} \left(\frac{\ln \left(x +{\mathrm e}\right) \left(x +{\mathrm e}\right)^{3}}{3}-\frac{\left(x +{\mathrm e}\right)^{3}}{9}\right)-512 \,{\mathrm e}^{8} {\mathrm e}^{3} \ln \left(x +{\mathrm e}\right)+13824 \,{\mathrm e}^{8} {\mathrm e}^{2} \left(x +{\mathrm e}\right)-13056 \,{\mathrm e}^{8} {\mathrm e} \left(x +{\mathrm e}\right)^{2}+\frac{12800 \,{\mathrm e}^{8} \left(x +{\mathrm e}\right)^{3}}{3}$&$289$\\ default&$48 \,{\mathrm e}^{8} {\mathrm e}^{2} \left(\left(x +{\mathrm e}\right) \ln \left(x +{\mathrm e}\right)^{2}-2 \left(x +{\mathrm e}\right) \ln \left(x +{\mathrm e}\right)+2 x +2 \,{\mathrm e}\right)-96 \,{\mathrm e}^{8} {\mathrm e} \left(\frac{\left(x +{\mathrm e}\right)^{2} \ln \left(x +{\mathrm e}\right)^{2}}{2}-\frac{\left(x +{\mathrm e}\right)^{2} \ln \left(x +{\mathrm e}\right)}{2}+\frac{\left(x +{\mathrm e}\right)^{2}}{4}\right)+48 \,{\mathrm e}^{8} \left(\frac{\ln \left(x +{\mathrm e}\right)^{2} \left(x +{\mathrm e}\right)^{3}}{3}-\frac{2 \ln \left(x +{\mathrm e}\right) \left(x +{\mathrm e}\right)^{3}}{9}+\frac{2 \left(x +{\mathrm e}\right)^{3}}{27}\right)-16 \,{\mathrm e}^{8} {\mathrm e}^{3} \ln \left(x +{\mathrm e}\right)^{2}+1632 \,{\mathrm e}^{8} {\mathrm e}^{2} \left(\left(x +{\mathrm e}\right) \ln \left(x +{\mathrm e}\right)-x -{\mathrm e}\right)-3168 \,{\mathrm e}^{8} {\mathrm e} \left(\frac{\left(x +{\mathrm e}\right)^{2} \ln \left(x +{\mathrm e}\right)}{2}-\frac{\left(x +{\mathrm e}\right)^{2}}{4}\right)+1568 \,{\mathrm e}^{8} \left(\frac{\ln \left(x +{\mathrm e}\right) \left(x +{\mathrm e}\right)^{3}}{3}-\frac{\left(x +{\mathrm e}\right)^{3}}{9}\right)-512 \,{\mathrm e}^{8} {\mathrm e}^{3} \ln \left(x +{\mathrm e}\right)+13824 \,{\mathrm e}^{8} {\mathrm e}^{2} \left(x +{\mathrm e}\right)-13056 \,{\mathrm e}^{8} {\mathrm e} \left(x +{\mathrm e}\right)^{2}+\frac{12800 \,{\mathrm e}^{8} \left(x +{\mathrm e}\right)^{3}}{3}$&$289$\\ \hline \end{longtable}"," ",0,"16*x^3*exp(8)*ln(x+exp(1))^2+512*x^3*exp(8)*ln(x+exp(1))+4096*x^3*exp(8)","A"
9803,1,36,32,0.217000," ","int(((-2*x^3+20*x^2-50*x)*exp(-x^2+2)+8*x^3-82*x^2+220*x-55)/((x^2-10*x+25)*exp(-x^2+2)+4*x^4-42*x^3+118*x^2-25*x-75)/ln(((x-5)*exp(-x^2+2)+4*x^3-22*x^2+8*x+15)/(x-5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(\frac{\left(x -5\right) {\mathrm e}^{-x^{2}+2}+4 x^{3}-22 x^{2}+8 x +15}{x -5}\right)\right)$&$36$\\ risch&$\ln \left(\ln \left(x^{3}-\frac{11 x^{2}}{2}+\left(\frac{{\mathrm e}^{-x^{2}+2}}{4}+2\right) x -\frac{5 \,{\mathrm e}^{-x^{2}+2}}{4}+\frac{15}{4}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(i \left(x^{3}-\frac{11 x^{2}}{2}+\left(\frac{{\mathrm e}^{-x^{2}+2}}{4}+2\right) x -\frac{5 \,{\mathrm e}^{-x^{2}+2}}{4}+\frac{15}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}-\frac{11 x^{2}}{2}+\left(\frac{{\mathrm e}^{-x^{2}+2}}{4}+2\right) x -\frac{5 \,{\mathrm e}^{-x^{2}+2}}{4}+\frac{15}{4}\right)}{x -5}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x -5}\right) \mathrm{csgn}\left(\frac{i \left(x^{3}-\frac{11 x^{2}}{2}+\left(\frac{{\mathrm e}^{-x^{2}+2}}{4}+2\right) x -\frac{5 \,{\mathrm e}^{-x^{2}+2}}{4}+\frac{15}{4}\right)}{x -5}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x^{3}-\frac{11 x^{2}}{2}+\left(\frac{{\mathrm e}^{-x^{2}+2}}{4}+2\right) x -\frac{5 \,{\mathrm e}^{-x^{2}+2}}{4}+\frac{15}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{3}-\frac{11 x^{2}}{2}+\left(\frac{{\mathrm e}^{-x^{2}+2}}{4}+2\right) x -\frac{5 \,{\mathrm e}^{-x^{2}+2}}{4}+\frac{15}{4}\right)}{x -5}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(x^{3}-\frac{11 x^{2}}{2}+\left(\frac{{\mathrm e}^{-x^{2}+2}}{4}+2\right) x -\frac{5 \,{\mathrm e}^{-x^{2}+2}}{4}+\frac{15}{4}\right)}{x -5}\right)^{3}+4 i \ln \left(2\right)-2 i \ln \left(x -5\right)\right)}{2}\right)$&$336$\\ \hline \end{longtable}"," ",0,"ln(ln(((x-5)*exp(-x^2+2)+4*x^3-22*x^2+8*x+15)/(x-5)))","A"
9804,1,43,28,0.113000," ","int(1/4*((8*x^3+40*x^2-80)*exp(x)+(-4*x^4-16*x^3-20*x^2-20*x)*exp(-x-1)+2*x^4+5*x^3)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{4}+\frac{5 x}{4}+\frac{2 \left(x^{2}+5 x +5\right) {\mathrm e}^{x}}{x^{2}}+\frac{\left(x^{2}+5 x +5\right) {\mathrm e}^{-x -1}}{x}$&$43$\\ norman&$\frac{\left({\mathrm e}^{-1} x^{3}+10 \,{\mathrm e}^{2 x}+5 \,{\mathrm e}^{-1} x +10 x \,{\mathrm e}^{2 x}+5 x^{2} {\mathrm e}^{-1}+\frac{5 \,{\mathrm e}^{x} x^{3}}{4}+\frac{{\mathrm e}^{x} x^{4}}{4}+2 \,{\mathrm e}^{2 x} x^{2}\right) {\mathrm e}^{-x}}{x^{2}}$&$70$\\ default&$\frac{x^{2}}{4}+\frac{5 x}{4}+4 \,{\mathrm e}^{-x} {\mathrm e}^{-1}+\frac{10 \,{\mathrm e}^{x}}{x^{2}}+\frac{10 \,{\mathrm e}^{x}}{x}-5 \,{\mathrm e}^{-1} \left(-\frac{{\mathrm e}^{-x}}{x}+\expIntegralEi \left(1, x\right)\right)+5 \,{\mathrm e}^{-1} \expIntegralEi \left(1, x\right)-{\mathrm e}^{-1} \left(-x \,{\mathrm e}^{-x}-{\mathrm e}^{-x}\right)+2 \,{\mathrm e}^{x}$&$78$\\ \hline \end{longtable}"," ",0,"1/4*x^2+5/4*x+2*(x^2+5*x+5)/x^2*exp(x)+1/x*(x^2+5*x+5)*exp(-x-1)","A"
9805,1,15,16,0.097000," ","int((5*x-20)/(x^2-2*x)/ln((2-x)/x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5}{\ln \left(\frac{2-x}{x^{2}}\right)}$&$15$\\ risch&$\frac{5}{\ln \left(\frac{2-x}{x^{2}}\right)}$&$15$\\ derivativedivides&$\frac{5}{\ln \left(\frac{\frac{2}{x}-1}{x}\right)}$&$17$\\ default&$\frac{5}{\ln \left(\frac{\frac{2}{x}-1}{x}\right)}$&$17$\\ \hline \end{longtable}"," ",0,"5/ln((2-x)/x^2)","A"
9806,1,13,24,0.043000," ","int(1/3*(-2*x^2*exp(2)+6*x)*exp(-1/3*exp(2)*x)^2+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +x^{2} {\mathrm e}^{-\frac{2 \,{\mathrm e}^{2} x}{3}}$&$13$\\ norman&$x +x^{2} {\mathrm e}^{-\frac{2 \,{\mathrm e}^{2} x}{3}}$&$15$\\ default&$x -18 \,{\mathrm e}^{-2} \left(-{\mathrm e}^{-2} \left(-\frac{{\mathrm e}^{-\frac{2 \,{\mathrm e}^{2} x}{3}} {\mathrm e}^{2} x}{6}-\frac{{\mathrm e}^{-\frac{2 \,{\mathrm e}^{2} x}{3}}}{4}\right)-{\mathrm e}^{-2} \left(\frac{{\mathrm e}^{-\frac{2 \,{\mathrm e}^{2} x}{3}} {\mathrm e}^{4} x^{2}}{18}+\frac{{\mathrm e}^{-\frac{2 \,{\mathrm e}^{2} x}{3}} {\mathrm e}^{2} x}{6}+\frac{{\mathrm e}^{-\frac{2 \,{\mathrm e}^{2} x}{3}}}{4}\right)\right)$&$87$\\ derivativedivides&$-{\mathrm e}^{-2} \left(-{\mathrm e}^{2} x -18 \,{\mathrm e}^{-2} \left(-\frac{{\mathrm e}^{-\frac{2 \,{\mathrm e}^{2} x}{3}} {\mathrm e}^{2} x}{6}-\frac{{\mathrm e}^{-\frac{2 \,{\mathrm e}^{2} x}{3}}}{4}\right)-18 \,{\mathrm e}^{-2} \left(\frac{{\mathrm e}^{-\frac{2 \,{\mathrm e}^{2} x}{3}} {\mathrm e}^{4} x^{2}}{18}+\frac{{\mathrm e}^{-\frac{2 \,{\mathrm e}^{2} x}{3}} {\mathrm e}^{2} x}{6}+\frac{{\mathrm e}^{-\frac{2 \,{\mathrm e}^{2} x}{3}}}{4}\right)\right)$&$90$\\ \hline \end{longtable}"," ",0,"x+x^2*exp(-2/3*exp(2)*x)","A"
9807,1,16,19,0.020000," ","int(-exp(3)-64*x^3+6*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(16 x^{3}+{\mathrm e}^{3}-3 x -2\right)$&$16$\\ default&$-x \,{\mathrm e}^{3}-16 x^{4}+3 x^{2}+2 x$&$20$\\ norman&$\left(2-{\mathrm e}^{3}\right) x +3 x^{2}-16 x^{4}$&$20$\\ risch&$-x \,{\mathrm e}^{3}-16 x^{4}+3 x^{2}+2 x$&$20$\\ \hline \end{longtable}"," ",0,"-x*(16*x^3+exp(3)-3*x-2)","A"
9808,1,22,22,0.050000," ","int(((x^3+5*x^2)*ln(x)^3*ln(5+x)^3+((3*x^3+15*x^2)*ln(x)^3+(3*x^4+15*x^3)*ln(x)^2)*ln(5+x)^2+((3*x^3+15*x^2)*ln(x)^3+(6*x^4+30*x^3)*ln(x)^2+(3*x^5+15*x^4+2*x+10)*ln(x)+2*x+10)*ln(5+x)+(x^3+5*x^2)*ln(x)^3+(3*x^4+15*x^3)*ln(x)^2+(3*x^5+15*x^4+4*x+10)*ln(x)+x^6+5*x^5+4*x^2+22*x+10)/((x^4+5*x^3)*ln(x)^3*ln(5+x)^3+((3*x^4+15*x^3)*ln(x)^3+(3*x^5+15*x^4)*ln(x)^2)*ln(5+x)^2+((3*x^4+15*x^3)*ln(x)^3+(6*x^5+30*x^4)*ln(x)^2+(3*x^6+15*x^5)*ln(x))*ln(5+x)+(x^4+5*x^3)*ln(x)^3+(3*x^5+15*x^4)*ln(x)^2+(3*x^6+15*x^5)*ln(x)+x^7+5*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-\frac{1}{x^{2} \left(\ln \left(x \right) \ln \left(5+x \right)+\ln \left(x \right)+x \right)^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"ln(x)-1/x^2/(ln(x)*ln(5+x)+ln(x)+x)^2","A"
9809,1,88,24,0.343000," ","int(((4*x^2+20*x-24)*ln(x+6)*ln(ln(x+6)^2)+(-2*x^4-6*x^3+34*x^2-14*x-12)*ln(x+6)-8*x^2+16*x-8)/((8*x+48)*ln(x+6)*ln(ln(x+6)^2)^3+(12*x^3+84*x^2+72*x)*ln(x+6)*ln(ln(x+6)^2)^2+(6*x^5+48*x^4+78*x^3+36*x^2)*ln(x+6)*ln(ln(x+6)^2)+(x^7+9*x^6+21*x^5+19*x^4+6*x^3)*ln(x+6)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}-2 x +1}{\left(4 \ln \left(\ln \left(x +6\right)\right)-i \pi  \mathrm{csgn}\left(i \ln \left(x +6\right)^{2}\right)^{3}-i \pi  \mathrm{csgn}\left(i \ln \left(x +6\right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x +6\right)^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i \ln \left(x +6\right)\right) \mathrm{csgn}\left(i \ln \left(x +6\right)^{2}\right)^{2}+x^{2}+x \right)^{2}}$&$88$\\ \hline \end{longtable}"," ",0,"(x^2-2*x+1)/(4*ln(ln(x+6))-I*Pi*csgn(I*ln(x+6)^2)^3-I*Pi*csgn(I*ln(x+6))^2*csgn(I*ln(x+6)^2)+2*I*Pi*csgn(I*ln(x+6))*csgn(I*ln(x+6)^2)^2+x^2+x)^2","C"
9810,1,14,19,0.110000," ","int((ln(2/3*x^2)-exp(x)+2)*exp(ln((x*ln(2/3*x^2)-exp(x))/x)+ln(x))/(x*ln(2/3*x^2)-exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \ln \left(\frac{2 x^{2}}{3}\right)-{\mathrm e}^{x}$&$14$\\ default&$2 x \ln \left(x \right)+x \left(\ln \left(\frac{2 x^{2}}{3}\right)-2 \ln \left(x \right)\right)-{\mathrm e}^{x}$&$24$\\ \hline \end{longtable}"," ",0,"x*ln(2/3*x^2)-exp(x)","A"
9811,1,21,21,0.200000," ","int(((-243*x^5-45*x^4-243*x^3-30*x^2-5)*exp(81*x^3/(15*x^2+5))+45*x^4+30*x^2+5)/(45*x^4+30*x^2+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{\frac{81 x^{3}}{5 \left(3 x^{2}+1\right)}}+x$&$21$\\ norman&$\frac{x +3 x^{3}-x \,{\mathrm e}^{\frac{81 x^{3}}{15 x^{2}+5}}-3 x^{3} {\mathrm e}^{\frac{81 x^{3}}{15 x^{2}+5}}}{3 x^{2}+1}$&$56$\\ \hline \end{longtable}"," ",0,"-x*exp(81/5*x^3/(3*x^2+1))+x","A"
9812,1,21,16,0.021000," ","int(((-4*x^3-657*x^2-23310*x+36963)*ln(x)+x^3+219*x^2+11655*x-36963)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \left(x^{3}+219 x^{2}+11655 x -36963\right)}{\ln \left(x \right)}$&$21$\\ norman&$\frac{-x^{4}-219 x^{3}-11655 x^{2}+36963 x}{\ln \left(x \right)}$&$25$\\ default&$-\frac{x^{4}}{\ln \left(x \right)}-\frac{219 x^{3}}{\ln \left(x \right)}-\frac{11655 x^{2}}{\ln \left(x \right)}+\frac{36963 x}{\ln \left(x \right)}$&$36$\\ \hline \end{longtable}"," ",0,"-x*(x^3+219*x^2+11655*x-36963)/ln(x)","A"
9813,1,11,15,0.026000," ","int(1/2*((x+1)*exp(x+ln(x))-2*exp(x)*x+2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\frac{{\mathrm e}^{x} \left(x -2\right)}{2}$&$11$\\ default&$\frac{{\mathrm e}^{x} x}{2}+\ln \left(x \right)-{\mathrm e}^{x}$&$13$\\ norman&$\frac{{\mathrm e}^{x} x}{2}+\ln \left(x \right)-{\mathrm e}^{x}$&$13$\\ \hline \end{longtable}"," ",0,"ln(x)+1/2*exp(x)*(x-2)","A"
9814,1,25,29,0.293000," ","int((-40*x*exp(3)*ln(2)^2*exp(exp(x))^2+(-125*x*exp(3)*ln(2)*exp(x)+125*exp(3)*ln(2))*exp(exp(x)))/(32*x^4*ln(2)^2*exp(exp(x))^2-400*x^3*ln(2)*exp(exp(x))+1250*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5 \,{\mathrm e}^{{\mathrm e}^{x}} {\mathrm e}^{3} \ln \left(2\right)}{2 x \left(4 \ln \left(2\right) {\mathrm e}^{{\mathrm e}^{x}} x -25\right)}$&$25$\\ risch&$\frac{5 \,{\mathrm e}^{3}}{8 x^{2}}+\frac{125 \,{\mathrm e}^{3}}{8 x^{2} \left(4 \ln \left(2\right) {\mathrm e}^{{\mathrm e}^{x}} x -25\right)}$&$28$\\ \hline \end{longtable}"," ",0,"5/2*exp(exp(x))*exp(3)*ln(2)/x/(4*ln(2)*exp(exp(x))*x-25)","A"
9815,1,40,28,0.084000," ","int(((x^4+24*x^3+216*x^2+864*x+1296)*ln(x)-x^4-70*x^3-924*x^2-4320*x-6480)/((x^4+24*x^3+216*x^2+864*x+1296)*ln(x)^2+(6*x^5+144*x^4+1250*x^3+4344*x^2+2664*x-10368)*ln(x)+9*x^6+216*x^5+1806*x^4+5256*x^3-3143*x^2-24480*x+20736),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x +6\right)^{2} x}{x^{2} \ln \left(x \right)+3 x^{3}+12 x \ln \left(x \right)+36 x^{2}+36 \ln \left(x \right)+85 x -144}$&$40$\\ norman&$\frac{x^{3}+12 x^{2}+36 x}{x^{2} \ln \left(x \right)+3 x^{3}+12 x \ln \left(x \right)+36 x^{2}+36 \ln \left(x \right)+85 x -144}$&$46$\\ \hline \end{longtable}"," ",0,"(x+6)^2*x/(x^2*ln(x)+3*x^3+12*x*ln(x)+36*x^2+36*ln(x)+85*x-144)","A"
9816,1,10,17,0.032000," ","int((-ln(x)-1)*exp(x*ln(x))-10,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-10 x -x^{x}$&$10$\\ default&$-10 x -{\mathrm e}^{x \ln \left(x \right)}$&$12$\\ norman&$-10 x -{\mathrm e}^{x \ln \left(x \right)}$&$12$\\ \hline \end{longtable}"," ",0,"-10*x-x^x","A"
9817,1,6,5,0.015000," ","int(-1/2*ln(6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x \ln \left(6\right)}{2}$&$6$\\ norman&$-\frac{x \ln \left(6\right)}{2}$&$6$\\ risch&$-\frac{x \ln \left(2\right)}{2}-\frac{x \ln \left(3\right)}{2}$&$12$\\ \hline \end{longtable}"," ",0,"-1/2*x*ln(6)","A"
9818,1,21,27,0.039000," ","int(((1-6*x)*exp(x)^2+(8*x^2+6*x)*exp(x)-6*x^3-3*x^2)/(exp(x)^2-2*exp(x)*x+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 x^{2}+x -\frac{4 x^{2}}{x -{\mathrm e}^{x}}$&$21$\\ norman&$\frac{-3 x^{2}-3 x^{3}-{\mathrm e}^{x} x +3 \,{\mathrm e}^{x} x^{2}}{x -{\mathrm e}^{x}}$&$33$\\ \hline \end{longtable}"," ",0,"-3*x^2+x-4*x^2/(x-exp(x))","A"
9819,1,12,31,0.113000," ","int((-4*x^2-68*x-274)/(4*x^2+68*x+289),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{15}{4 \left(x +\frac{17}{2}\right)}$&$12$\\ default&$-x -\frac{15}{2 \left(2 x +17\right)}$&$14$\\ gosper&$-\frac{2 x^{2}-137}{2 x +17}$&$17$\\ meijerg&$\frac{304 x}{289 \left(1+\frac{2 x}{17}\right)}-\frac{x \left(\frac{6 x}{17}+6\right)}{3 \left(1+\frac{2 x}{17}\right)}$&$27$\\ \hline \end{longtable}"," ",0,"-x-15/4/(x+17/2)","A"
9820,1,21,22,0.208000," ","int(((-x^4-12*x^2)*exp(x^3/(x^2+4)/exp(4))+(2*x^4+16*x^2+32)*exp(4))/(x^4+8*x^2+16)/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -{\mathrm e}^{\frac{x^{3} {\mathrm e}^{-4}}{x^{2}+4}}$&$21$\\ norman&$\frac{8 x +2 x^{3}-{\mathrm e}^{\frac{x^{3} {\mathrm e}^{-4}}{x^{2}+4}} x^{2}-4 \,{\mathrm e}^{\frac{x^{3} {\mathrm e}^{-4}}{x^{2}+4}}}{x^{2}+4}$&$57$\\ \hline \end{longtable}"," ",0,"2*x-exp(x^3/(x^2+4)*exp(-4))","A"
9821,1,9,12,0.009000," ","int(10*ln(ln(2))+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$10 x \ln \left(\ln \left(2\right)\right)+x$&$9$\\ default&$\left(10 \ln \left(\ln \left(2\right)\right)+1\right) x$&$10$\\ norman&$\left(10 \ln \left(\ln \left(2\right)\right)+1\right) x$&$10$\\ \hline \end{longtable}"," ",0,"10*x*ln(ln(2))+x","A"
9822,1,65,29,0.182000," ","int(((16*exp(x)^2*x^3-8*x^2)*exp(-exp(x)^2+3)^2+(16*exp(x)^2*x^3-16*x^2)*ln(2*ln(2))*exp(-exp(x)^2+3)-8*x^2*ln(2*ln(2))^2-4)/x^2/exp(x^2*exp(-exp(x)^2+3)^2+2*x^2*ln(2*ln(2))*exp(-exp(x)^2+3)+x^2*ln(2*ln(2))^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{-x^{2} \left(\ln \left(2\right)^{2}+2 \,{\mathrm e}^{3-{\mathrm e}^{2 x}} \ln \left(2\right)+2 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)+2 \,{\mathrm e}^{3-{\mathrm e}^{2 x}} \ln \left(\ln \left(2\right)\right)+\ln \left(\ln \left(2\right)\right)^{2}+{\mathrm e}^{6-2 \,{\mathrm e}^{2 x}}\right)}}{x}$&$65$\\ \hline \end{longtable}"," ",0,"4/x*exp(-x^2*(ln(2)^2+2*exp(3-exp(2*x))*ln(2)+2*ln(2)*ln(ln(2))+2*exp(3-exp(2*x))*ln(ln(2))+ln(ln(2))^2+exp(6-2*exp(2*x))))","B"
9823,1,44,26,0.105000," ","int((((-25*x^5-40*x^4)*ln(5)^2+(-25*x^5-25*x^4)*ln(5))*exp(x)+(125*x^2-800*x)*ln(5)^2)*exp(5*x^2*ln(5)/(((5*x^3+3*x^2)*ln(5)+5*x^3)*exp(x)+(25*x-80)*ln(5)))/(((25*x^6+30*x^5+9*x^4)*ln(5)^2+(50*x^6+30*x^5)*ln(5)+25*x^6)*exp(x)^2+((250*x^4-650*x^3-480*x^2)*ln(5)^2+(250*x^4-800*x^3)*ln(5))*exp(x)+(625*x^2-4000*x+6400)*ln(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3125^{\frac{x^{2}}{5 \ln \left(5\right) {\mathrm e}^{x} x^{3}+3 x^{2} \ln \left(5\right) {\mathrm e}^{x}+5 \,{\mathrm e}^{x} x^{3}+25 x \ln \left(5\right)-80 \ln \left(5\right)}}$&$44$\\ \hline \end{longtable}"," ",0,"3125^(x^2/(5*ln(5)*exp(x)*x^3+3*x^2*ln(5)*exp(x)+5*exp(x)*x^3+25*x*ln(5)-80*ln(5)))","A"
9824,1,40,22,0.041000," ","int(((2*exp(x)*x+2*x+2)*ln(x)+2*x*exp(x)^2+(2*x^2+2*x+2)*exp(x)+4*x^4+12*x^3+2*x^2+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +2 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x} \ln \left(x \right)+x^{2}+4 x^{3}+x^{4}+{\mathrm e}^{2 x}+2 x \ln \left(x \right)+\ln \left(x \right)^{2}$&$40$\\ risch&$\ln \left(x \right)^{2}+\left(2 \,{\mathrm e}^{x}+2 x \right) \ln \left(x \right)+x^{4}+4 x^{3}+x^{2}+2 \,{\mathrm e}^{x} x +{\mathrm e}^{2 x}-x$&$40$\\ \hline \end{longtable}"," ",0,"-x+2*exp(x)*x+2*exp(x)*ln(x)+x^2+4*x^3+x^4+exp(x)^2+2*x*ln(x)+ln(x)^2","A"
9825,1,36,25,0.103000," ","int((-5*x*ln(x/ln(5))+(x^3+8*x^2+16*x)*ln(19)+20)/(x^3+8*x^2+16*x)/ln(19),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}+\frac{5 \ln \left(\frac{x}{\ln \left(5\right)}\right)}{\ln \left(19\right)}-\frac{16 \ln \left(19\right)-5}{\ln \left(19\right)}}{4+x}$&$36$\\ risch&$\frac{5 \ln \left(\frac{x}{\ln \left(5\right)}\right)}{\ln \left(19\right) \left(4+x \right)}+\frac{\ln \left(19\right) x^{2}+4 x \ln \left(19\right)+5}{\ln \left(19\right) \left(4+x \right)}$&$43$\\ derivativedivides&$\frac{\ln \left(5\right) \left(-\frac{5 \ln \left(\frac{x}{\ln \left(5\right)}\right) x}{4 \ln \left(5\right) \left(4+x \right)}+\frac{5 \ln \left(\frac{x}{\ln \left(5\right)}\right)}{4 \ln \left(5\right)}+\frac{5}{\ln \left(5\right) \left(4+x \right)}+\frac{\ln \left(19\right) x}{\ln \left(5\right)}\right)}{\ln \left(19\right)}$&$60$\\ default&$\frac{\ln \left(5\right) \left(-\frac{5 \ln \left(\frac{x}{\ln \left(5\right)}\right) x}{4 \ln \left(5\right) \left(4+x \right)}+\frac{5 \ln \left(\frac{x}{\ln \left(5\right)}\right)}{4 \ln \left(5\right)}+\frac{5}{\ln \left(5\right) \left(4+x \right)}+\frac{\ln \left(19\right) x}{\ln \left(5\right)}\right)}{\ln \left(19\right)}$&$60$\\ \hline \end{longtable}"," ",0,"(x^2+5/ln(19)*ln(x/ln(5))-(16*ln(19)-5)/ln(19))/(4+x)","A"
9826,1,23,23,0.248000," ","int((-2*exp(exp(1/2*ln(exp(2)*x)+x))^2+((-2*x^3-x^2)*exp(1/2*ln(exp(2)*x)+x)+6*x^2-4)*exp(exp(1/2*ln(exp(2)*x)+x))+6*x^2-2)/(2*exp(exp(1/2*ln(exp(2)*x)+x))^2+4*exp(exp(1/2*ln(exp(2)*x)+x))+2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3}}{{\mathrm e}^{\sqrt{{\mathrm e}^{2} x}\, {\mathrm e}^{x}}+1}-x$&$23$\\ \hline \end{longtable}"," ",0,"x^3/(exp((exp(2)*x)^(1/2)*exp(x))+1)-x","A"
9827,1,30,23,0.099000," ","int((((1-x)*ln(x)*ln(ln(x))^3+512)*exp((x*ln(ln(x))^2+256)/ln(ln(x))^2)+(2*x*exp(x)^2-1)*ln(x)*exp(exp(x)^2)*ln(ln(x))^3)/(ln(x)*ln(ln(x))^3*exp((x*ln(ln(x))^2+256)/ln(ln(x))^2)^2+(-2*ln(x)*exp(exp(x)^2)+2*x*ln(x))*ln(ln(x))^3*exp((x*ln(ln(x))^2+256)/ln(ln(x))^2)+(ln(x)*exp(exp(x)^2)^2-2*x*ln(x)*exp(exp(x)^2)+x^2*ln(x))*ln(ln(x))^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{x +{\mathrm e}^{\frac{x \ln \left(\ln \left(x \right)\right)^{2}+256}{\ln \left(\ln \left(x \right)\right)^{2}}}-{\mathrm e}^{{\mathrm e}^{2 x}}}$&$30$\\ \hline \end{longtable}"," ",0,"x/(x+exp((x*ln(ln(x))^2+256)/ln(ln(x))^2)-exp(exp(2*x)))","A"
9828,1,13,12,0.025000," ","int(1/(x*ln(x*2^(1/3))+22*x)/ln(-ln(x*2^(1/3))-22),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(-\ln \left(x 2^{\frac{1}{3}}\right)-22\right)\right)$&$13$\\ \hline \end{longtable}"," ",0,"ln(ln(-ln(x*2^(1/3))-22))","A"
9829,1,17,19,0.129000," ","int(((-x^2-3*x+10)*exp(x)-x^2-3*x+3)/(x^2-4*x+4)/exp(exp(x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(5+x \right) {\mathrm e}^{-{\mathrm e}^{x}-x}}{x -2}$&$17$\\ risch&$\frac{\left(5+x \right) {\mathrm e}^{-{\mathrm e}^{x}-x}}{x -2}$&$19$\\ \hline \end{longtable}"," ",0,"(5+x)/(x-2)/exp(exp(x)+x)","A"
9830,1,48,21,1.737000," ","int(((-1350*x^5-100*x)*exp(5*ln(15*x^4-10)-1)+60*x^5-40*x)/((75*x^4-50)*exp(5*ln(15*x^4-10)-1)^2+(60*x^4-40)*exp(5*ln(15*x^4-10)-1)+12*x^4-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{759375 \,{\mathrm e}^{-1} x^{20}-2531250 \,{\mathrm e}^{-1} x^{16}+3375000 \,{\mathrm e}^{-1} x^{12}-2250000 \,{\mathrm e}^{-1} x^{8}+750000 \,{\mathrm e}^{-1} x^{4}-100000 \,{\mathrm e}^{-1}+\frac{2}{5}}$&$48$\\ \hline \end{longtable}"," ",0,"1/759375*x^2/(exp(-1)*x^20-10/3*exp(-1)*x^16+40/9*exp(-1)*x^12-80/27*exp(-1)*x^8+80/81*exp(-1)*x^4-32/243*exp(-1)+2/3796875)","B"
9831,1,23,17,0.138000," ","int((((-30*x^3+6*x^2)*exp(x)-30*x^2+12*x)*exp(exp(x))+60*x^3-18*x^2)/(25*x^2-10*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{6 x^{3}-6 \,{\mathrm e}^{{\mathrm e}^{x}} x^{2}}{5 x -1}$&$23$\\ risch&$\frac{6 x^{2}}{5}+\frac{6 x}{25}+\frac{6}{625 \left(x -\frac{1}{5}\right)}-\frac{6 x^{2} {\mathrm e}^{{\mathrm e}^{x}}}{5 x -1}$&$32$\\ \hline \end{longtable}"," ",0,"(6*x^3-6*exp(exp(x))*x^2)/(5*x-1)","A"
9832,1,28,23,0.121000," ","int((((24*x^2+36*x)*exp(2*x-3)+(-12*x^2-12*x)*exp(x)-12*exp(2)*x-12*x)*ln(x)+(12*x+24)*exp(2*x-3)+(-12*x-24)*exp(x)+(12*x+24)*exp(2)+12*x+24)/(x^3+4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{12 \left({\mathrm e}^{2 x -5}-{\mathrm e}^{x -2}+{\mathrm e}^{-2}+1\right) {\mathrm e}^{2} \ln \left(x \right)}{2+x}$&$28$\\ default&$\frac{-24 \,{\mathrm e}^{x} \ln \left(x \right)-12 x \,{\mathrm e}^{x} \ln \left(x \right)}{\left(2+x \right)^{2}}+\frac{24 \ln \left(x \right) {\mathrm e}^{2 x -3}+12 \ln \left(x \right) {\mathrm e}^{2 x -3} x}{\left(2+x \right)^{2}}+6 \,{\mathrm e}^{2} \ln \left(x \right)+6 \ln \left(x \right)-\frac{6 \ln \left(x \right) x}{2+x}-\frac{6 \,{\mathrm e}^{2} \ln \left(x \right) x}{2+x}$&$82$\\ \hline \end{longtable}"," ",0,"12*(exp(2*x-5)-exp(x-2)+exp(-2)+1)*exp(2)/(2+x)*ln(x)","A"
9833,1,27,30,0.233000," ","int((((4*x+4)*ln(5)^2+(-x^2-x)*ln(3))*ln((4*ln(5)^2-x*ln(3))/x)+4*ln(5)^2)/(4*x^2*ln(5)^2-x^3*ln(3))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(\frac{4 \ln \left(5\right)^{2}-x \ln \left(3\right)}{x}\right) {\mathrm e}^{-x}}{x}$&$27$\\ risch&$-\frac{{\mathrm e}^{-x} \ln \left(\ln \left(5\right)^{2}-\frac{x \ln \left(3\right)}{4}\right)}{x}-\frac{\left(-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-\ln \left(5\right)^{2}+\frac{x \ln \left(3\right)}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\ln \left(5\right)^{2}+\frac{x \ln \left(3\right)}{4}\right)}{x}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-\ln \left(5\right)^{2}+\frac{x \ln \left(3\right)}{4}\right)}{x}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(-\ln \left(5\right)^{2}+\frac{x \ln \left(3\right)}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(-\ln \left(5\right)^{2}+\frac{x \ln \left(3\right)}{4}\right)}{x}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(-\ln \left(5\right)^{2}+\frac{x \ln \left(3\right)}{4}\right)}{x}\right)^{3}+4 \ln \left(2\right)-2 \ln \left(x \right)\right) {\mathrm e}^{-x}}{2 x}$&$184$\\ \hline \end{longtable}"," ",0,"-ln((4*ln(5)^2-x*ln(3))/x)/exp(x)/x","A"
9834,1,30,27,0.890000," ","int(((16*x^3*exp(exp(2))-16*x^4-16*x^3)*ln(5*exp(x)/(3*x*exp(exp(2))-3*x^2-3*x))+(-8*x^4+8*x^3)*exp(exp(2))+8*x^5-8*x^4-8*x^3)/(exp(exp(2))-x-1)/ln(5*exp(x)/(3*x*exp(exp(2))-3*x^2-3*x))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 x^{4}}{\ln \left(\frac{5 \,{\mathrm e}^{x}}{3 x \,{\mathrm e}^{{\mathrm e}^{2}}-3 x^{2}-3 x}\right)^{2}}$&$30$\\ risch&$-\frac{16 x^{4}}{\left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{1-{\mathrm e}^{{\mathrm e}^{2}}+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x \left(1-{\mathrm e}^{{\mathrm e}^{2}}+x \right)}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x \left(1-{\mathrm e}^{{\mathrm e}^{2}}+x \right)}\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i}{1-{\mathrm e}^{{\mathrm e}^{2}}+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{1-{\mathrm e}^{{\mathrm e}^{2}}+x}\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{1-{\mathrm e}^{{\mathrm e}^{2}}+x}\right)^{2}+\pi  \,\mathrm{csgn}\left(\frac{i}{1-{\mathrm e}^{{\mathrm e}^{2}}+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{1-{\mathrm e}^{{\mathrm e}^{2}}+x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{1-{\mathrm e}^{{\mathrm e}^{2}}+x}\right)^{3}+\pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{1-{\mathrm e}^{{\mathrm e}^{2}}+x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x \left(1-{\mathrm e}^{{\mathrm e}^{2}}+x \right)}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{x}}{x \left(1-{\mathrm e}^{{\mathrm e}^{2}}+x \right)}\right)^{3}+2 i \ln \left(5\right)-2 i \ln \left(3\right)+2 i \ln \left({\mathrm e}^{x}\right)-2 i \ln \left(x \right)-2 i \ln \left({\mathrm e}^{{\mathrm e}^{2}}-x -1\right)\right)^{2}}$&$300$\\ \hline \end{longtable}"," ",0,"4*x^4/ln(5*exp(x)/(3*x*exp(exp(2))-3*x^2-3*x))^2","A"
9835,1,18,21,0.050000," ","int((-4*x+14)/(exp(x-3)-2*x+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-6+2 x -2 \ln \left({\mathrm e}^{x -3}-2 x +5\right)$&$18$\\ norman&$2 x -2 \ln \left(-{\mathrm e}^{x -3}+2 x -5\right)$&$19$\\ \hline \end{longtable}"," ",0,"-6+2*x-2*ln(exp(x-3)-2*x+5)","A"
9836,1,29,18,0.081000," ","int(((8*x^2*ln(3/x)-4*x^2)*ln(x)+124*x^2*ln(3/x)-60*x^2+1)*exp(4*x^2*ln(3/x)*ln(x)+60*x^2*ln(3/x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{4 x^{2} \ln \left(\frac{3}{x}\right) \ln \left(x \right)+60 x^{2} \ln \left(\frac{3}{x}\right)} x$&$29$\\ risch&$x \,x^{-4 x^{2} \left(\ln \left(x \right)-\ln \left(3\right)\right)} {\mathrm e}^{60 x^{2} \left(\ln \left(3\right)-\ln \left(x \right)\right)}$&$30$\\ \hline \end{longtable}"," ",0,"exp(4*x^2*ln(3/x)*ln(x)+60*x^2*ln(3/x))*x","A"
9837,1,11,17,0.015000," ","int(5*x^4*ln(x)+x^4+3*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{3}+x^{5} \ln \left(x \right)$&$11$\\ norman&$x^{3}+x^{5} \ln \left(x \right)$&$11$\\ risch&$x^{3}+x^{5} \ln \left(x \right)$&$11$\\ \hline \end{longtable}"," ",0,"x^3+x^5*ln(x)","A"
9838,1,30,27,0.081000," ","int(((3*x^2-12*x+12)*exp(2)^2+38*x^2-144*x+144)/((3*x^3-12*x^2+12*x)*exp(2)^2+5*x^4+18*x^3-128*x^2+144*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)+\ln \left(x -2\right)-\ln \left(3 x \,{\mathrm e}^{4}+5 x^{2}-6 \,{\mathrm e}^{4}+28 x -72\right)$&$30$\\ norman&$\ln \left(x \right)+\ln \left(x -2\right)-\ln \left(3 x \,{\mathrm e}^{4}+5 x^{2}-6 \,{\mathrm e}^{4}+28 x -72\right)$&$34$\\ risch&$-\ln \left(-5 x^{2}+\left(-3 \,{\mathrm e}^{4}-28\right) x +6 \,{\mathrm e}^{4}+72\right)+\ln \left(-x^{2}+2 x \right)$&$34$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(x-2)-ln(3*x*exp(4)+5*x^2-6*exp(4)+28*x-72)","A"
9839,1,24,25,0.037000," ","int((-ln(x)^2+(8*x^3+16*x^2+2*x+8)*ln(x)-4*x^4-36*x^3-65*x^2-24*x-16)/(x^2*ln(x)^2+(-2*x^3-8*x^2)*ln(x)+x^4+8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x}-\frac{4 \left(x^{2}+4 x +4\right)}{-\ln \left(x \right)+4+x}$&$24$\\ norman&$\frac{4-16 x^{2}-15 x -4 x^{3}-\ln \left(x \right)}{x \left(-\ln \left(x \right)+4+x \right)}$&$33$\\ \hline \end{longtable}"," ",0,"1/x-4*(x^2+4*x+4)/(-ln(x)+4+x)","A"
9840,1,44,23,0.039000," ","int(1/9*(((-2*x+2)*exp(16)^2+12*x^2*exp(16))*ln(x)+(2*x^2-2*x)*exp(16)^2+(-18*x^3+6*x^2)*exp(16)+36*x^4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{32} \ln \left(x \right)^{2}}{9}+\frac{\left(-2 x \,{\mathrm e}^{32}+6 x^{2} {\mathrm e}^{16}\right) \ln \left(x \right)}{9}+\frac{{\mathrm e}^{32} x^{2}}{9}-\frac{2 x^{3} {\mathrm e}^{16}}{3}+x^{4}$&$44$\\ norman&$x^{4}-\frac{2 x^{3} {\mathrm e}^{16}}{3}+\frac{{\mathrm e}^{32} x^{2}}{9}+\frac{{\mathrm e}^{32} \ln \left(x \right)^{2}}{9}+\frac{2 x^{2} {\mathrm e}^{16} \ln \left(x \right)}{3}-\frac{2 \,{\mathrm e}^{32} \ln \left(x \right) x}{9}$&$49$\\ default&$-\frac{2 \,{\mathrm e}^{32} \left(x \ln \left(x \right)-x \right)}{9}+\frac{4 \,{\mathrm e}^{16} \left(\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}\right)}{3}+\frac{{\mathrm e}^{32} x^{2}}{9}-\frac{2 x^{3} {\mathrm e}^{16}}{3}+x^{4}+\frac{{\mathrm e}^{32} \ln \left(x \right)^{2}}{9}-\frac{2 x \,{\mathrm e}^{32}}{9}+\frac{x^{2} {\mathrm e}^{16}}{3}$&$76$\\ \hline \end{longtable}"," ",0,"1/9*exp(32)*ln(x)^2+1/9*(-2*x*exp(32)+6*x^2*exp(16))*ln(x)+1/9*exp(32)*x^2-2/3*x^3*exp(16)+x^4","A"
9841,1,22,21,0.053000," ","int((-4*exp(exp(5))*ln(x)+2*exp(exp(5)))/(2*x*exp(exp(5))*ln(x)+5*x^3*exp(1)*exp(3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(x \right)+\ln \left(\ln \left(x \right)+\frac{5 x^{2} {\mathrm e}^{7-{\mathrm e}^{5}}}{2}\right)$&$22$\\ norman&$-2 \ln \left(x \right)+\ln \left(5 x^{2} {\mathrm e} \,{\mathrm e}^{6}+2 \,{\mathrm e}^{{\mathrm e}^{5}} \ln \left(x \right)\right)$&$26$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+ln(ln(x)+5/2*x^2*exp(7-exp(5)))","A"
9842,1,30,27,0.031000," ","int(((2*ln(2)-4)*exp(x)*ln(3*x)^2+(2*(-2*x-28)*ln(2)+2*x^2+12*x+112)*exp(x)*ln(3*x)+(2*(x^2+28*x+196)*ln(2)-2*x^3-34*x^2-170*x-784)*exp(x))/(ln(3*x)^2+(-2*x-28)*ln(3*x)+x^2+28*x+196),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{x} \ln \left(2\right)-4 \,{\mathrm e}^{x}-\frac{2 x^{2} {\mathrm e}^{x}}{x -\ln \left(3 x \right)+14}$&$30$\\ \hline \end{longtable}"," ",0,"2*exp(x)*ln(2)-4*exp(x)-2*x^2*exp(x)/(x-ln(3*x)+14)","A"
9843,1,40,27,0.197000," ","int(((-5*x^3-5*x^2+6*x+4)*ln((100*x-100)/(25*x^4+100*x^3+140*x^2+80*x+16)/ln(2))+5*x^5+5*x^4-21*x^3+6*x^2+24*x)/(5*x^5+5*x^4-6*x^3-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\frac{100 x -100}{\left(25 x^{4}+100 x^{3}+140 x^{2}+80 x +16\right) \ln \left(2\right)}\right)}{x}+x$&$40$\\ norman&$\frac{x^{2}+\ln \left(\frac{100 x -100}{\left(25 x^{4}+100 x^{3}+140 x^{2}+80 x +16\right) \ln \left(2\right)}\right)}{x}$&$42$\\ default&$-\frac{\ln \left(\ln \left(2\right)\right)}{x}+x +\frac{2 \ln \left(10\right)}{x}+\frac{\ln \left(\frac{x -1}{25 x^{4}+100 x^{3}+140 x^{2}+80 x +16}\right)}{x}$&$49$\\ \hline \end{longtable}"," ",0,"1/x*ln((100*x-100)/(25*x^4+100*x^3+140*x^2+80*x+16)/ln(2))+x","A"
9844,1,176,29,0.147000," ","int((((2*x^10+10*x^9)*exp(2)+2*x^12+32*x^11+170*x^10+350*x^9+250*x^8+128*x^7+1920*x^6+9600*x^5+16000*x^4)*ln(x)+((-2*x^10-10*x^9)*exp(2)-2*x^12-32*x^11-170*x^10-350*x^9-250*x^8-128*x^7-1920*x^6-9600*x^5-16000*x^4)*exp(4)^2-2*x^9*exp(2)^2+(-14*x^10-60*x^9-50*x^8-160*x^6-1440*x^5-3200*x^4)*exp(2)+2*x^13+30*x^12+148*x^11+290*x^10+200*x^9+96*x^8+1280*x^7+5600*x^6+7200*x^5-4000*x^4-2048*x^3-30720*x^2-153600*x-256000)/(x^12+15*x^11+75*x^10+125*x^9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x -\frac{32 \,{\mathrm e}^{2}}{25 x^{3}}-2 x \,{\mathrm e}^{8}-\frac{32 \,{\mathrm e}^{2}}{625 x}+\ln \left(x \right)^{2}+x^{2}-\frac{2 \,{\mathrm e}^{2} \ln \left(x \right)}{5}+\frac{32 \,{\mathrm e}^{2}}{125 x^{2}}+2 x \ln \left(x \right)-\frac{32}{25 x^{2}}+\frac{32}{125 x}+\frac{2 \,{\mathrm e}^{2} \ln \left(x \right) x}{5 \left(5+x \right)}-\frac{7532}{125 \left(5+x \right)}+\frac{256}{x^{8}}-\frac{128}{5 x^{3}}-\frac{32 \ln \left(x \right)}{x^{4}}-2 \ln \left(x \right) {\mathrm e}^{8}+\frac{32 \,{\mathrm e}^{2}}{5 x^{4}}+\frac{32 \,{\mathrm e}^{8}}{x^{4}}+\frac{{\mathrm e}^{4}}{\left(5+x \right)^{2}}-\frac{10 \,{\mathrm e}^{2}}{\left(5+x \right)^{2}}+\frac{7532 \,{\mathrm e}^{2}}{625 \left(5+x \right)}-\frac{10 \,{\mathrm e}^{8}}{5+x}+\frac{2 \,{\mathrm e}^{10}}{5+x}+\frac{25}{\left(5+x \right)^{2}}-\frac{2 \ln \left(x \right) x}{5+x}$&$176$\\ risch&$\ln \left(x \right)^{2}-\frac{2 \left(-x^{6}+x^{4} {\mathrm e}^{2}-5 x^{5}-5 x^{4}+16 x +80\right) \ln \left(x \right)}{\left(5+x \right) x^{4}}+\frac{6400+2560 x -2 x^{10} \ln \left(x \right)+32 \,{\mathrm e}^{2} x^{5}-20 x^{9} \ln \left(x \right)+8 x^{11}+x^{12}-32 x^{7}-275 x^{8}+5 x^{10}-110 x^{9}-288 x^{6}-640 x^{5}+256 x^{2}+50 x^{8} {\mathrm e}^{2}+x^{8} {\mathrm e}^{4}-50 x^{8} \ln \left(x \right)+160 x^{4} {\mathrm e}^{2}+12 \,{\mathrm e}^{2} x^{9}+320 x^{5} {\mathrm e}^{8}-2 \,{\mathrm e}^{8} \ln \left(x \right) x^{10}-20 \,{\mathrm e}^{8} \ln \left(x \right) x^{9}-50 \,{\mathrm e}^{8} \ln \left(x \right) x^{8}-60 \,{\mathrm e}^{8} x^{9}-50 \,{\mathrm e}^{8} x^{8}+32 \,{\mathrm e}^{8} x^{6}+10 \,{\mathrm e}^{10} x^{8}+800 x^{4} {\mathrm e}^{8}-2 \,{\mathrm e}^{8} x^{11}+2 \,{\mathrm e}^{10} x^{9}-20 \,{\mathrm e}^{8} x^{10}}{\left(5+x \right)^{2} x^{8}}$&$246$\\ \hline \end{longtable}"," ",0,"-2*x-32/25*exp(2)/x^3-2*x*exp(8)-32/625*exp(2)/x+ln(x)^2+x^2-2/5*exp(2)*ln(x)+32/125*exp(2)/x^2+2*x*ln(x)-32/25/x^2+32/125/x+2/5*exp(2)*ln(x)*x/(5+x)-7532/125/(5+x)+256/x^8-128/5/x^3-32/x^4*ln(x)-2*ln(x)*exp(8)+32/5/x^4*exp(2)+32/x^4*exp(8)+1/(5+x)^2*exp(4)-10/(5+x)^2*exp(2)+7532/625/(5+x)*exp(2)-10/(5+x)*exp(8)+2/(5+x)*exp(10)+25/(5+x)^2-2*ln(x)*x/(5+x)","B"
9845,1,25,22,0.139000," ","int(((-10*exp(x)*x+5*x)*exp(exp(2))-5)*exp((-2*exp(x)+x+100)*exp(exp(2)))/(exp((-2*exp(x)+x+100)*exp(exp(2)))^2-2*x*exp((-2*exp(x)+x+100)*exp(exp(2)))+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5 x}{x -{\mathrm e}^{-\left(2 \,{\mathrm e}^{x}-x -100\right) {\mathrm e}^{{\mathrm e}^{2}}}}$&$25$\\ norman&$\frac{5 \,{\mathrm e}^{\left(-2 \,{\mathrm e}^{x}+x +100\right) {\mathrm e}^{{\mathrm e}^{2}}}}{x -{\mathrm e}^{\left(-2 \,{\mathrm e}^{x}+x +100\right) {\mathrm e}^{{\mathrm e}^{2}}}}$&$33$\\ \hline \end{longtable}"," ",0,"5*x/(x-exp(-(2*exp(x)-x-100)*exp(exp(2))))","A"
9846,1,144,29,0.204000," ","int(((2*x^3+2*x^2)*exp(((exp(x)^2*x^2+(8*x^2+10*x)*exp(x)+16*x^2+40*x+25)*ln(x)^2-5*x)/x)^2+(((-12*x^4-18*x^3-6*x^2)*exp(x)^2+(-48*x^4-156*x^3-108*x^2)*exp(x)-96*x^3-96*x^2+150*x+150)*ln(x)^2+((-12*x^3-12*x^2)*exp(x)^2+(-96*x^3-216*x^2-120*x)*exp(x)-192*x^3-672*x^2-780*x-300)*ln(x)+6*x^2)*exp(((exp(x)^2*x^2+(8*x^2+10*x)*exp(x)+16*x^2+40*x+25)*ln(x)^2-5*x)/x)+((-36*x^3-18*x^2)*exp(x)^2+(-144*x^3-324*x^2)*exp(x)-288*x^2+450)*ln(x)^2+(-36*exp(x)^2*x^2+(-288*x^2-360*x)*exp(x)-576*x^2-1440*x-900)*ln(x))/x^2/exp(((exp(x)^2*x^2+(8*x^2+10*x)*exp(x)+16*x^2+40*x+25)*ln(x)^2-5*x)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+2 x +\left(6 x +6\right) {\mathrm e}^{-\frac{\ln \left(x \right)^{2} {\mathrm e}^{2 x} x^{2}+8 x^{2} {\mathrm e}^{x} \ln \left(x \right)^{2}+10 x \,{\mathrm e}^{x} \ln \left(x \right)^{2}+16 x^{2} \ln \left(x \right)^{2}+40 x \ln \left(x \right)^{2}+25 \ln \left(x \right)^{2}-5 x}{x}}+9 \,{\mathrm e}^{-\frac{2 \left(\ln \left(x \right)^{2} {\mathrm e}^{2 x} x^{2}+8 x^{2} {\mathrm e}^{x} \ln \left(x \right)^{2}+10 x \,{\mathrm e}^{x} \ln \left(x \right)^{2}+16 x^{2} \ln \left(x \right)^{2}+40 x \ln \left(x \right)^{2}+25 \ln \left(x \right)^{2}-5 x \right)}{x}}$&$144$\\ \hline \end{longtable}"," ",0,"x^2+2*x+(6*x+6)*exp(-(ln(x)^2*exp(2*x)*x^2+8*x^2*exp(x)*ln(x)^2+10*x*exp(x)*ln(x)^2+16*x^2*ln(x)^2+40*x*ln(x)^2+25*ln(x)^2-5*x)/x)+9*exp(-2*(ln(x)^2*exp(2*x)*x^2+8*x^2*exp(x)*ln(x)^2+10*x*exp(x)*ln(x)^2+16*x^2*ln(x)^2+40*x*ln(x)^2+25*ln(x)^2-5*x)/x)","B"
9847,1,88,28,0.149000," ","int((((x+exp(x)-x^2)*ln(x)-exp(x)-x^3+x^2)*exp(x/exp(x))+(-4*exp(x)*ln(x)+4*exp(x))*ln(2*x^2)+(8*x+12)*exp(x)*ln(x)+(4*x^2-12*x-20)*exp(x))/(4*exp(x)*ln(x)^2+8*x*exp(x)*ln(x)+4*exp(x)*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x +\frac{\left(i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}+10+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-2 \ln \left(2\right)+6 x \right) x}{2 x +2 \ln \left(x \right)}+\frac{x \,{\mathrm e}^{x \,{\mathrm e}^{-x}}}{4 x +4 \ln \left(x \right)}$&$88$\\ \hline \end{longtable}"," ",0,"-2*x+1/2*(I*Pi*csgn(I*x)^2*csgn(I*x^2)-2*I*Pi*csgn(I*x)*csgn(I*x^2)^2+10+I*Pi*csgn(I*x^2)^3-2*ln(2)+6*x)*x/(x+ln(x))+1/4*x/(x+ln(x))*exp(x*exp(-x))","C"
9848,1,13,10,0.125000," ","int(-60/(20*exp(4)-15*x-21),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(20 \,{\mathrm e}^{4}-15 x -21\right)$&$13$\\ norman&$4 \ln \left(20 \,{\mathrm e}^{4}-15 x -21\right)$&$13$\\ risch&$4 \ln \left(-20 \,{\mathrm e}^{4}+15 x +21\right)$&$13$\\ meijerg&$-\frac{60 \left(-\frac{4 \,{\mathrm e}^{4}}{3}+\frac{7}{5}\right) \ln \left(1-\frac{15 x}{20 \,{\mathrm e}^{4}-21}\right)}{20 \,{\mathrm e}^{4}-21}$&$31$\\ \hline \end{longtable}"," ",0,"4*ln(20*exp(4)-15*x-21)","A"
9849,1,87,24,0.074000," ","int(((x^3-3*x^2+3*x-1)*ln(x)^2+((-16*x^6+48*x^5-48*x^4+16*x^3)*exp(3)+4*x^3-12*x^2+10*x-2)*ln(x)+(28*x^9-84*x^8+84*x^7-28*x^6)*exp(3)^2+(-20*x^6+48*x^5-32*x^4+4*x^3)*exp(3)+3*x^3-7*x^2+2*x)/(x^3-3*x^2+3*x-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \ln \left(x \right)^{2}+2 x \ln \left(x \right)+x +4 x^{7} {\mathrm e}^{6}-4 x^{4} {\mathrm e}^{3}-4 x^{3} {\mathrm e}^{3}-4 x^{2} {\mathrm e}^{3}-4 x \,{\mathrm e}^{3}+\frac{1}{\left(x -1\right)^{2}}-\frac{4 \,{\mathrm e}^{3}}{x -1}+\frac{3}{x -1}-4 \ln \left(x \right) {\mathrm e}^{3} x^{4}+\frac{2 \ln \left(x \right) x}{x -1}$&$87$\\ risch&$x \ln \left(x \right)^{2}-\frac{2 \left(2 x^{5} {\mathrm e}^{3}-2 x^{4} {\mathrm e}^{3}-x^{2}+x -1\right) \ln \left(x \right)}{x -1}+\frac{4 \,{\mathrm e}^{6} x^{9}-8 \,{\mathrm e}^{6} x^{8}+4 x^{7} {\mathrm e}^{6}-4 x^{6} {\mathrm e}^{3}+4 x^{5} {\mathrm e}^{3}+2 x^{2} \ln \left(x \right)+4 x^{2} {\mathrm e}^{3}+x^{3}-4 x \ln \left(x \right)-8 x \,{\mathrm e}^{3}-2 x^{2}+2 \ln \left(x \right)+4 \,{\mathrm e}^{3}+4 x -2}{\left(x -1\right)^{2}}$&$125$\\ \hline \end{longtable}"," ",0,"x*ln(x)^2+2*x*ln(x)+x+4*x^7*exp(6)-4*x^4*exp(3)-4*x^3*exp(3)-4*x^2*exp(3)-4*x*exp(3)+1/(x-1)^2-4/(x-1)*exp(3)+3/(x-1)-4*ln(x)*exp(3)*x^4+2*ln(x)*x/(x-1)","B"
9850,1,56,20,0.296000," ","int((150*x+400)/((x^8+12*x^7+48*x^6+64*x^5)*ln(2*ln(2))^2-25*x^2-100*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-4 \ln \left(x \right)+\ln \left(x^{3} \ln \left(2 \ln \left(2\right)\right)+4 x^{2} \ln \left(2 \ln \left(2\right)\right)-5\right)-2 \ln \left(4+x \right)+\ln \left(x^{3} \ln \left(2 \ln \left(2\right)\right)+4 x^{2} \ln \left(2 \ln \left(2\right)\right)+5\right)$&$56$\\ norman&$-4 \ln \left(x \right)+\ln \left(x^{3} \ln \left(2 \ln \left(2\right)\right)+4 x^{2} \ln \left(2 \ln \left(2\right)\right)-5\right)-2 \ln \left(4+x \right)+\ln \left(x^{3} \ln \left(2 \ln \left(2\right)\right)+4 x^{2} \ln \left(2 \ln \left(2\right)\right)+5\right)$&$56$\\ risch&$-2 \ln \left(4+x \right)-4 \ln \left(-x \right)+\ln \left(\left(-\ln \left(2\right)^{2}-2 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)-\ln \left(\ln \left(2\right)\right)^{2}\right) x^{6}+\left(-8 \ln \left(2\right)^{2}-16 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)-8 \ln \left(\ln \left(2\right)\right)^{2}\right) x^{5}+\left(-16 \ln \left(2\right)^{2}-32 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)-16 \ln \left(\ln \left(2\right)\right)^{2}\right) x^{4}+25\right)$&$92$\\ \hline \end{longtable}"," ",0,"-4*ln(x)+ln(x^3*ln(2*ln(2))+4*x^2*ln(2*ln(2))-5)-2*ln(4+x)+ln(x^3*ln(2*ln(2))+4*x^2*ln(2*ln(2))+5)","B"
9851,1,17,20,0.075000," ","int(((1815*x^2+33000*x+150000)*exp(5/x)+500*x^2)/(363*x^4+6600*x^3+30000*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{500}{363 \left(x +\frac{100}{11}\right)}-{\mathrm e}^{\frac{5}{x}}$&$17$\\ derivativedivides&$\frac{5}{3 \left(\frac{100}{x}+11\right)}-{\mathrm e}^{\frac{5}{x}}$&$21$\\ default&$\frac{5}{3 \left(\frac{100}{x}+11\right)}-{\mathrm e}^{\frac{5}{x}}$&$21$\\ norman&$\frac{-\frac{500 x}{33}-100 x \,{\mathrm e}^{\frac{5}{x}}-11 x^{2} {\mathrm e}^{\frac{5}{x}}}{x \left(11 x +100\right)}$&$36$\\ \hline \end{longtable}"," ",0,"-500/363/(x+100/11)-exp(5/x)","A"
9852,1,59,28,0.079000," ","int(((2*x^2-60*x)*exp(x^2)*ln(x-30)^4*ln(x)^2+(((4*x^3-120*x^2)*exp(x^2)+2*x^2-60*x)*ln(x-30)^4+(-4*x^3+120*x^2)*exp(x^2)*ln(x-30)^2)*ln(x)+((2*x^4-60*x^3)*exp(x^2)+x^3-31*x^2+30*x)*ln(x-30)^4+((-4*x^4+120*x^3)*exp(x^2)-x^3+30*x^2)*ln(x-30)^2-2*x^3*ln(x-30)+(2*x^4-60*x^3)*exp(x^2))/((x-30)*ln(x-30)^4*ln(x)^2+((2*x^2-60*x)*ln(x-30)^4+(-2*x^2+60*x)*ln(x-30)^2)*ln(x)+(x^3-30*x^2)*ln(x-30)^4+(-2*x^3+60*x^2)*ln(x-30)^2+x^3-30*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}+{\mathrm e}^{x^{2}} x +{\mathrm e}^{x^{2}} \ln \left(x \right)}{x +\ln \left(x \right)}+\frac{x^{3}}{\left(x +\ln \left(x \right)\right) \left(\ln \left(x -30\right)^{2} \ln \left(x \right)+x \ln \left(x -30\right)^{2}-x \right)}$&$59$\\ \hline \end{longtable}"," ",0,"(x^2+exp(x^2)*x+exp(x^2)*ln(x))/(x+ln(x))+x^3/(x+ln(x))/(ln(x-30)^2*ln(x)+x*ln(x-30)^2-x)","B"
9853,1,22,17,0.095000," ","int(((45*x^3+286*x^2+314*x-440)*ln(4+x)+15*x^3+53*x^2-98*x+48)/(12*x+48),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{5}{4} x^{3}+\frac{53}{12} x^{2}-\frac{55}{6} x \right) \ln \left(4+x \right)+x$&$22$\\ norman&$x +\frac{53 x^{2} \ln \left(4+x \right)}{12}+\frac{5 x^{3} \ln \left(4+x \right)}{4}-\frac{55 \ln \left(4+x \right) x}{6}$&$28$\\ derivativedivides&$\frac{5 \ln \left(4+x \right) \left(4+x \right)^{3}}{4}-\frac{127 \ln \left(4+x \right) \left(4+x \right)^{2}}{12}+\frac{31 \left(4+x \right) \ln \left(4+x \right)}{2}+4+x +\frac{82 \ln \left(4+x \right)}{3}$&$41$\\ default&$\frac{5 \ln \left(4+x \right) \left(4+x \right)^{3}}{4}-\frac{127 \ln \left(4+x \right) \left(4+x \right)^{2}}{12}+\frac{31 \left(4+x \right) \ln \left(4+x \right)}{2}+4+x +\frac{82 \ln \left(4+x \right)}{3}$&$41$\\ \hline \end{longtable}"," ",0,"(5/4*x^3+53/12*x^2-55/6*x)*ln(4+x)+x","A"
9854,1,24,37,0.102000," ","int(((-x*exp(2-x)-x)*ln(x)+(-x*exp(2-x)+4*x^2+7*x)*exp(x^2+4*x)-2*x*exp(2-x)-2*x+2)/(x*ln(x)+x*exp(x^2+4*x)+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +2 \ln \left(2+{\mathrm e}^{\left(4+x \right) x}+\ln \left(x \right)\right)+{\mathrm e}^{2-x}$&$24$\\ default&$-x +2 \ln \left(\ln \left(x \right)+{\mathrm e}^{x^{2}+4 x}+2\right)+{\mathrm e}^{2-x}$&$26$\\ \hline \end{longtable}"," ",0,"-x+2*ln(2+exp((4+x)*x)+ln(x))+exp(2-x)","A"
9855,0,0,15,0.013000," ","int((-ln(2*x)-x^2-4)/(x*ln(2*x)-x^3+5*x)/ln((-ln(2*x)+x^2-5)/x),x)","\[\int \frac{-\ln \left(2 x \right)-x^{2}-4}{\left(x \ln \left(2 x \right)-x^{3}+5 x \right) \ln \left(\frac{-\ln \left(2 x \right)+x^{2}-5}{x}\right)}\, dx\]"," ",0,"int((-ln(2*x)-x^2-4)/(x*ln(2*x)-x^3+5*x)/ln((-ln(2*x)+x^2-5)/x),x)","F"
9856,1,14,15,0.046000," ","int((540*x^2-40)*exp(20/exp(-9*x^3+2*x))/exp(-9*x^3+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{20 \,{\mathrm e}^{x \left(9 x^{2}-2\right)}}$&$14$\\ norman&${\mathrm e}^{20 \,{\mathrm e}^{9 x^{3}-2 x}}$&$16$\\ \hline \end{longtable}"," ",0,"exp(20*exp(x*(9*x^2-2)))","A"
9857,1,39,28,0.133000," ","int(((64*x^8+192*x^7+256*x^6+192*x^5+64*x^4)*exp(x)+16*x^8+64*x^7+80*x^6+32*x^5+48*x^3+72*x^2+24*x)/((256*x^8+512*x^7+256*x^6)*exp(x)^2+(128*x^9+256*x^8+128*x^7-96*x^4-96*x^3)*exp(x)+16*x^10+32*x^9+16*x^8-24*x^5-24*x^4+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 x^{2} \left(x +1\right)^{2}}{16 \,{\mathrm e}^{x} x^{4}+4 x^{5}+16 \,{\mathrm e}^{x} x^{3}+4 x^{4}-3}$&$39$\\ norman&$\frac{-4 x^{4}-8 x^{3}-4 x^{2}}{16 \,{\mathrm e}^{x} x^{4}+4 x^{5}+16 \,{\mathrm e}^{x} x^{3}+4 x^{4}-3}$&$46$\\ \hline \end{longtable}"," ",0,"-4*x^2*(x+1)^2/(16*exp(x)*x^4+4*x^5+16*exp(x)*x^3+4*x^4-3)","A"
9858,1,12,11,0.120000," ","int(-8/(16*ln(2)^2+4*(-16*x-24)*ln(2)+64*x^2+192*x+144),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{1}{4 \left(\ln \left(2\right)-2 x -3\right)}$&$12$\\ norman&$-\frac{1}{4 \left(\ln \left(2\right)-2 x -3\right)}$&$12$\\ risch&$-\frac{1}{4 \left(\ln \left(2\right)-2 x -3\right)}$&$12$\\ default&$\frac{1}{8 x +12-4 \ln \left(2\right)}$&$14$\\ meijerg&$-\frac{x}{4 \left(-\frac{\ln \left(2\right)}{2}+\frac{3}{2}\right) \left(1+\frac{2 x}{-\ln \left(2\right)+3}\right) \left(-\ln \left(2\right)+3\right)}$&$35$\\ \hline \end{longtable}"," ",0,"-1/4/(ln(2)-2*x-3)","A"
9859,1,37,28,0.126000," ","int((2*(8*x^6+80*x^5+200*x^4-5*x)*ln(2)*ln(x)*ln(2/ln(x))+2*(2*x^6+20*x^5+50*x^4-6*x^2-55*x-125)*ln(2))/(x^3+10*x^2+25*x)/ln(x)/ln(2/ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \ln \left(2\right) \left(2 x^{5}+10 x^{4}-6 x -25\right)}{\left(5+x \right) \left(2 \ln \left(2\right)-2 \ln \left(\ln \left(x \right)\right)\right)}$&$37$\\ \hline \end{longtable}"," ",0,"4*ln(2)*(2*x^5+10*x^4-6*x-25)/(5+x)/(2*ln(2)-2*ln(ln(x)))","A"
9860,1,29,24,0.041000," ","int(((75*x^4-150*x^3+150*x^2-150*x+75)*ln(x)^2+(30*x^4-530*x^3+780*x^2-30*x+750)*ln(x)+3*x^4+150*x^3-247*x^2+750*x-750)/((25*x^2-50*x+25)*ln(x)^2+(10*x^2-10*x)*ln(x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+3 x -\frac{50 \left(x^{2}+3\right) x}{5 x \ln \left(x \right)-5 \ln \left(x \right)+x}$&$29$\\ norman&$\frac{x^{4}-750 \ln \left(x \right)+735 x \ln \left(x \right)+3 x^{2}-50 x^{3}+15 x^{2} \ln \left(x \right)-5 x^{3} \ln \left(x \right)+5 x^{4} \ln \left(x \right)}{5 x \ln \left(x \right)-5 \ln \left(x \right)+x}$&$59$\\ \hline \end{longtable}"," ",0,"x^3+3*x-50*(x^2+3)*x/(5*x*ln(x)-5*ln(x)+x)","A"
9861,1,22,17,0.092000," ","int(1/16*(128*x^2-64*x-25)*exp(1/64*(-64*x*ln(x)+128*x^2-320*x+25)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 \,{\mathrm e}^{\frac{128 x^{2}-320 x +25}{64 x}}}{x}$&$22$\\ gosper&$4 \,{\mathrm e}^{-\frac{64 x \ln \left(x \right)-128 x^{2}+320 x -25}{64 x}}$&$24$\\ norman&$4 \,{\mathrm e}^{\frac{-64 x \ln \left(x \right)+128 x^{2}-320 x +25}{64 x}}$&$24$\\ \hline \end{longtable}"," ",0,"4/x*exp(1/64*(128*x^2-320*x+25)/x)","A"
9862,1,18,22,0.081000," ","int((4*exp(4*x-3)-2)*exp(-exp(4*x-3)+10*ln(3)+2*x)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -59049 \,{\mathrm e}^{-{\mathrm e}^{4 x -3}+2 x}$&$18$\\ default&$x -{\mathrm e}^{-{\mathrm e}^{4 x -3}+10 \ln \left(3\right)+2 x}$&$22$\\ norman&$x -{\mathrm e}^{-{\mathrm e}^{4 x -3}+10 \ln \left(3\right)+2 x}$&$22$\\ \hline \end{longtable}"," ",0,"x-59049*exp(-exp(4*x-3)+2*x)","A"
9863,1,30,31,0.025000," ","int((10*exp(2)*ln(2)+(-20*x^3-90*x^2-100*x+5)*exp(2)+5)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x^{4}-30 x^{3}+10 x \ln \left(2\right)-50 x^{2}+5 x +5 x \,{\mathrm e}^{-2}$&$30$\\ norman&$-50 x^{2}-30 x^{3}-5 x^{4}+5 \left(2 \,{\mathrm e}^{2} \ln \left(2\right)+{\mathrm e}^{2}+1\right) {\mathrm e}^{-2} x$&$34$\\ gosper&$5 x \left(-x^{3} {\mathrm e}^{2}-6 x^{2} {\mathrm e}^{2}+2 \,{\mathrm e}^{2} \ln \left(2\right)-10 \,{\mathrm e}^{2} x +{\mathrm e}^{2}+1\right) {\mathrm e}^{-2}$&$37$\\ default&${\mathrm e}^{-2} \left(10 x \,{\mathrm e}^{2} \ln \left(2\right)+{\mathrm e}^{2} \left(-5 x^{4}-30 x^{3}-50 x^{2}+5 x \right)+5 x \right)$&$39$\\ \hline \end{longtable}"," ",0,"-5*x^4-30*x^3+10*x*ln(2)-50*x^2+5*x+5*x*exp(-2)","A"
9864,1,17,16,0.140000," ","int((36*ln(5)-3*x^2+216*x-432)/(x^2-72*x+1296),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{3 \left(x^{2}+12 \ln \left(5\right)-144\right)}{x -36}$&$17$\\ default&$-3 x -\frac{3 \left(1152+12 \ln \left(5\right)\right)}{x -36}$&$18$\\ norman&$\frac{-3 x^{2}+432-36 \ln \left(5\right)}{x -36}$&$18$\\ risch&$-3 x -\frac{3456}{x -36}-\frac{36 \ln \left(5\right)}{x -36}$&$21$\\ meijerg&$\frac{17 x}{3 \left(1-\frac{x}{36}\right)}+\frac{x \ln \left(5\right)}{36-x}-\frac{x \left(-\frac{x}{12}+6\right)}{1-\frac{x}{36}}$&$39$\\ \hline \end{longtable}"," ",0,"-3*(x^2+12*ln(5)-144)/(x-36)","A"
9865,1,15,21,0.031000," ","int(2*exp(4)^4*exp(x)^2+(2*x+2)*exp(4)^2*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \,{\mathrm e}^{x +8}+{\mathrm e}^{2 x +16}$&$15$\\ default&$2 \,{\mathrm e}^{8} x \,{\mathrm e}^{x}+{\mathrm e}^{16} {\mathrm e}^{2 x}$&$20$\\ norman&$2 \,{\mathrm e}^{8} x \,{\mathrm e}^{x}+{\mathrm e}^{16} {\mathrm e}^{2 x}$&$20$\\ meijerg&$-{\mathrm e}^{16} \left(1-{\mathrm e}^{2 x}\right)+2 \,{\mathrm e}^{8} \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)-2 \,{\mathrm e}^{8} \left(1-{\mathrm e}^{x}\right)$&$39$\\ \hline \end{longtable}"," ",0,"2*x*exp(x+8)+exp(2*x+16)","A"
9866,1,22,18,0.027000," ","int(exp(2+exp(3))+(-x-1)*exp(x)+3-2*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{x} x +3 x -x^{2}+x \,{\mathrm e}^{2+{\mathrm e}^{3}}$&$22$\\ norman&$\left({\mathrm e}^{2} {\mathrm e}^{{\mathrm e}^{3}}+3\right) x -x^{2}-{\mathrm e}^{x} x$&$22$\\ risch&$-{\mathrm e}^{x} x +3 x -x^{2}+x \,{\mathrm e}^{2+{\mathrm e}^{3}}$&$22$\\ \hline \end{longtable}"," ",0,"-exp(x)*x+3*x-x^2+x*exp(2+exp(3))","A"
9867,1,26,24,0.091000," ","int((((15*x^2+45*x-9)*ln(2)-10*x+2)*exp(5*x-4)+2*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{\left(3 x \ln \left(2\right)+9 \ln \left(2\right)-2\right) {\mathrm e}^{5 x -4}}{x}$&$26$\\ norman&$\frac{\left(9 \ln \left(2\right)-2\right) {\mathrm e}^{5 x -4}+2 x^{2}+3 \ln \left(2\right) {\mathrm e}^{5 x -4} x}{x}$&$35$\\ derivativedivides&$2 x -\frac{8}{5}-\frac{2 \,{\mathrm e}^{5 x -4}}{x}+\frac{9 \ln \left(2\right) {\mathrm e}^{5 x -4}}{x}+3 \ln \left(2\right) {\mathrm e}^{5 x -4}$&$40$\\ default&$2 x -\frac{8}{5}-\frac{2 \,{\mathrm e}^{5 x -4}}{x}+\frac{9 \ln \left(2\right) {\mathrm e}^{5 x -4}}{x}+3 \ln \left(2\right) {\mathrm e}^{5 x -4}$&$40$\\ \hline \end{longtable}"," ",0,"2*x+(3*x*ln(2)+9*ln(2)-2)/x*exp(5*x-4)","A"
9868,1,28,22,0.303000," ","int((3*x*exp(3)*ln(3*x^2)+3*x*exp(3)*ln(3)+(6-6*x)*exp(3))*exp((-3*exp(3)*ln(3*x^2)-3*exp(3)*ln(3)+(5*x-5)*exp(3))/(x-1))/(x^3-2*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{{\mathrm e}^{3} \left(3 \ln \left(3 x^{2}\right)+3 \ln \left(3\right)-5 x +5\right)}{x -1}}$&$28$\\ default&$\frac{x \,{\mathrm e}^{\frac{-3 \,{\mathrm e}^{3} \ln \left(3 x^{2}\right)-3 \,{\mathrm e}^{3} \ln \left(3\right)+\left(5 x -5\right) {\mathrm e}^{3}}{x -1}}-{\mathrm e}^{\frac{-3 \,{\mathrm e}^{3} \ln \left(3 x^{2}\right)-3 \,{\mathrm e}^{3} \ln \left(3\right)+\left(5 x -5\right) {\mathrm e}^{3}}{x -1}}}{x -1}$&$76$\\ norman&$\frac{x \,{\mathrm e}^{\frac{-3 \,{\mathrm e}^{3} \ln \left(3 x^{2}\right)-3 \,{\mathrm e}^{3} \ln \left(3\right)+\left(5 x -5\right) {\mathrm e}^{3}}{x -1}}-{\mathrm e}^{\frac{-3 \,{\mathrm e}^{3} \ln \left(3 x^{2}\right)-3 \,{\mathrm e}^{3} \ln \left(3\right)+\left(5 x -5\right) {\mathrm e}^{3}}{x -1}}}{x -1}$&$76$\\ \hline \end{longtable}"," ",0,"exp(-exp(3)*(3*ln(3*x^2)+3*ln(3)-5*x+5)/(x-1))","A"
9869,1,10,21,0.036000," ","int((-3600*x^3+675*x^2)/exp(16*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$225 x^{3} {\mathrm e}^{-16 x}$&$10$\\ gosper&$225 x^{3} {\mathrm e}^{-16 x}$&$12$\\ derivativedivides&$225 x^{3} {\mathrm e}^{-16 x}$&$12$\\ default&$225 x^{3} {\mathrm e}^{-16 x}$&$12$\\ norman&$225 x^{3} {\mathrm e}^{-16 x}$&$12$\\ meijerg&$\frac{225 \left(16384 x^{3}+3072 x^{2}+384 x +24\right) {\mathrm e}^{-16 x}}{16384}-\frac{225 \left(768 x^{2}+96 x +6\right) {\mathrm e}^{-16 x}}{4096}$&$39$\\ \hline \end{longtable}"," ",0,"225*x^3*exp(-16*x)","A"
9870,1,876,28,2.701000," ","int((((-x^2-28*x-75)*ln(-1/3*x^2-x)*ln(x+25)^2*ln(ln(-1/3*x^2-x))+(5*x^2+140*x+375)*ln(-1/3*x^2-x)*ln(x+25))*ln((-ln(x+25)*ln(ln(-1/3*x^2-x))+5)/ln(x+25))+(3*x^2+84*x+225)*ln(-1/3*x^2-x)*ln(x+25)^2*ln(ln(-1/3*x^2-x))+(-2*x^2-53*x-75)*ln(x+25)^2+(-15*x^2-420*x-1125)*ln(-1/3*x^2-x)*ln(x+25)+(-5*x^2-15*x)*ln(-1/3*x^2-x))/((x^2+28*x+75)*ln(-1/3*x^2-x)*ln(x+25)^2*ln(ln(-1/3*x^2-x))+(-5*x^2-140*x-375)*ln(-1/3*x^2-x)*ln(x+25)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \ln \left(\ln \left(x +25\right) \ln \left(-\ln \left(3\right)+i \pi +\ln \left(x \right)+\ln \left(3+x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(3+x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i \left(3+x \right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(i x \left(3+x \right)\right)^{2} \left(\mathrm{csgn}\left(i x \left(3+x \right)\right)-1\right)\right)-5\right)+x \ln \left(\ln \left(x +25\right)\right)+i \pi  x \mathrm{csgn}\left(\frac{i \left(\ln \left(x +25\right) \ln \left(-\ln \left(3\right)+i \pi +\ln \left(x \right)+\ln \left(3+x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(3+x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i \left(3+x \right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(i x \left(3+x \right)\right)^{2} \left(\mathrm{csgn}\left(i x \left(3+x \right)\right)-1\right)\right)-5\right)}{\ln \left(x +25\right)}\right)^{2}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(\ln \left(x +25\right) \ln \left(-\ln \left(3\right)+i \pi +\ln \left(x \right)+\ln \left(3+x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(3+x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i \left(3+x \right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(i x \left(3+x \right)\right)^{2} \left(\mathrm{csgn}\left(i x \left(3+x \right)\right)-1\right)\right)-5\right)\right) \mathrm{csgn}\left(\frac{i}{\ln \left(x +25\right)}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x +25\right) \ln \left(-\ln \left(3\right)+i \pi +\ln \left(x \right)+\ln \left(3+x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(3+x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i \left(3+x \right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(i x \left(3+x \right)\right)^{2} \left(\mathrm{csgn}\left(i x \left(3+x \right)\right)-1\right)\right)-5\right)}{\ln \left(x +25\right)}\right)}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(i \left(\ln \left(x +25\right) \ln \left(-\ln \left(3\right)+i \pi +\ln \left(x \right)+\ln \left(3+x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(3+x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i \left(3+x \right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(i x \left(3+x \right)\right)^{2} \left(\mathrm{csgn}\left(i x \left(3+x \right)\right)-1\right)\right)-5\right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x +25\right) \ln \left(-\ln \left(3\right)+i \pi +\ln \left(x \right)+\ln \left(3+x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(3+x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i \left(3+x \right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(i x \left(3+x \right)\right)^{2} \left(\mathrm{csgn}\left(i x \left(3+x \right)\right)-1\right)\right)-5\right)}{\ln \left(x +25\right)}\right)^{2}}{2}-\frac{i \pi  x \,\mathrm{csgn}\left(\frac{i}{\ln \left(x +25\right)}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x +25\right) \ln \left(-\ln \left(3\right)+i \pi +\ln \left(x \right)+\ln \left(3+x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(3+x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i \left(3+x \right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(i x \left(3+x \right)\right)^{2} \left(\mathrm{csgn}\left(i x \left(3+x \right)\right)-1\right)\right)-5\right)}{\ln \left(x +25\right)}\right)^{2}}{2}-\frac{i \pi  x \mathrm{csgn}\left(\frac{i \left(\ln \left(x +25\right) \ln \left(-\ln \left(3\right)+i \pi +\ln \left(x \right)+\ln \left(3+x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \left(3+x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \left(3+x \right)\right)+\mathrm{csgn}\left(i \left(3+x \right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(i x \left(3+x \right)\right)^{2} \left(\mathrm{csgn}\left(i x \left(3+x \right)\right)-1\right)\right)-5\right)}{\ln \left(x +25\right)}\right)^{3}}{2}-i \pi  x +3 x$&$876$\\ \hline \end{longtable}"," ",0,"-x*ln(ln(x+25)*ln(-ln(3)+I*Pi+ln(x)+ln(3+x)-1/2*I*Pi*csgn(I*x*(3+x))*(-csgn(I*x*(3+x))+csgn(I*x))*(-csgn(I*x*(3+x))+csgn(I*(3+x)))+I*Pi*csgn(I*x*(3+x))^2*(csgn(I*x*(3+x))-1))-5)+x*ln(ln(x+25))+I*Pi*x*csgn(I*(ln(x+25)*ln(-ln(3)+I*Pi+ln(x)+ln(3+x)-1/2*I*Pi*csgn(I*x*(3+x))*(-csgn(I*x*(3+x))+csgn(I*x))*(-csgn(I*x*(3+x))+csgn(I*(3+x)))+I*Pi*csgn(I*x*(3+x))^2*(csgn(I*x*(3+x))-1))-5)/ln(x+25))^2+1/2*I*Pi*x*csgn(I*(ln(x+25)*ln(-ln(3)+I*Pi+ln(x)+ln(3+x)-1/2*I*Pi*csgn(I*x*(3+x))*(-csgn(I*x*(3+x))+csgn(I*x))*(-csgn(I*x*(3+x))+csgn(I*(3+x)))+I*Pi*csgn(I*x*(3+x))^2*(csgn(I*x*(3+x))-1))-5))*csgn(I/ln(x+25))*csgn(I*(ln(x+25)*ln(-ln(3)+I*Pi+ln(x)+ln(3+x)-1/2*I*Pi*csgn(I*x*(3+x))*(-csgn(I*x*(3+x))+csgn(I*x))*(-csgn(I*x*(3+x))+csgn(I*(3+x)))+I*Pi*csgn(I*x*(3+x))^2*(csgn(I*x*(3+x))-1))-5)/ln(x+25))-1/2*I*Pi*x*csgn(I*(ln(x+25)*ln(-ln(3)+I*Pi+ln(x)+ln(3+x)-1/2*I*Pi*csgn(I*x*(3+x))*(-csgn(I*x*(3+x))+csgn(I*x))*(-csgn(I*x*(3+x))+csgn(I*(3+x)))+I*Pi*csgn(I*x*(3+x))^2*(csgn(I*x*(3+x))-1))-5))*csgn(I*(ln(x+25)*ln(-ln(3)+I*Pi+ln(x)+ln(3+x)-1/2*I*Pi*csgn(I*x*(3+x))*(-csgn(I*x*(3+x))+csgn(I*x))*(-csgn(I*x*(3+x))+csgn(I*(3+x)))+I*Pi*csgn(I*x*(3+x))^2*(csgn(I*x*(3+x))-1))-5)/ln(x+25))^2-1/2*I*Pi*x*csgn(I/ln(x+25))*csgn(I*(ln(x+25)*ln(-ln(3)+I*Pi+ln(x)+ln(3+x)-1/2*I*Pi*csgn(I*x*(3+x))*(-csgn(I*x*(3+x))+csgn(I*x))*(-csgn(I*x*(3+x))+csgn(I*(3+x)))+I*Pi*csgn(I*x*(3+x))^2*(csgn(I*x*(3+x))-1))-5)/ln(x+25))^2-1/2*I*Pi*x*csgn(I*(ln(x+25)*ln(-ln(3)+I*Pi+ln(x)+ln(3+x)-1/2*I*Pi*csgn(I*x*(3+x))*(-csgn(I*x*(3+x))+csgn(I*x))*(-csgn(I*x*(3+x))+csgn(I*(3+x)))+I*Pi*csgn(I*x*(3+x))^2*(csgn(I*x*(3+x))-1))-5)/ln(x+25))^3-I*Pi*x+3*x","C"
9871,1,25,23,0.065000," ","int(1/5*(((-x+4)*exp(4/x)+x*exp(4)-2*x^2)*exp(x)-5*x)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x \,{\mathrm e}^{4}}{5}-\frac{x^{2}}{5}+{\mathrm e}^{-x}-\frac{x \,{\mathrm e}^{\frac{4}{x}}}{5}$&$25$\\ risch&$\frac{x \,{\mathrm e}^{4}}{5}-\frac{x^{2}}{5}+{\mathrm e}^{-x}-\frac{x \,{\mathrm e}^{\frac{4}{x}}}{5}$&$25$\\ norman&$\left(1-\frac{{\mathrm e}^{x} x^{2}}{5}+\frac{x \,{\mathrm e}^{4} {\mathrm e}^{x}}{5}-\frac{{\mathrm e}^{x} {\mathrm e}^{\frac{4}{x}} x}{5}\right) {\mathrm e}^{-x}$&$33$\\ \hline \end{longtable}"," ",0,"-1/5*x^2+1/exp(x)-1/5*exp(1/x)^4*x+1/5*x*exp(4)","A"
9872,1,25,25,0.082000," ","int((((1+5*x)*ln(x)^2-20*x-4)*ln(5*x^2+x)+(-10*x-1)*ln(x)^2-40*x^2-8*x)/((5*x^2+x)*ln(x)^2*ln(5*x^2+x)+(10*x^3+2*x^2)*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(x \right)-\ln \left(2 x +\ln \left(5 x^{2}+x \right)\right)+\frac{4}{\ln \left(x \right)}$&$25$\\ risch&$\frac{\ln \left(x \right)^{2}+4}{\ln \left(x \right)}-\ln \left(\ln \left(\frac{1}{5}+x \right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\frac{1}{5}+x \right)\right) \mathrm{csgn}\left(i x \left(\frac{1}{5}+x \right)\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\frac{1}{5}+x \right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\frac{1}{5}+x \right)\right) \mathrm{csgn}\left(i x \left(\frac{1}{5}+x \right)\right)^{2}+\pi  \mathrm{csgn}\left(i x \left(\frac{1}{5}+x \right)\right)^{3}+4 i x +2 i \ln \left(x \right)\right)}{2}\right)$&$106$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(2*x+ln(5*x^2+x))+4/ln(x)","A"
9873,1,20,17,0.028000," ","int(((-5*x^3-5*x^2)*exp(3)*exp(x)+(x^2+10)*exp(3))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{3}-\frac{10 \,{\mathrm e}^{3}}{x}-5 \,{\mathrm e}^{3+x} x$&$20$\\ norman&$\frac{x^{2} {\mathrm e}^{3}-5 x^{2} {\mathrm e}^{3} {\mathrm e}^{x}-10 \,{\mathrm e}^{3}}{x}$&$25$\\ default&$-\frac{10 \,{\mathrm e}^{3}}{x}-5 \,{\mathrm e}^{x} {\mathrm e}^{3}-5 \,{\mathrm e}^{3} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+x \,{\mathrm e}^{3}$&$32$\\ \hline \end{longtable}"," ",0,"x*exp(3)-10*exp(3)/x-5*exp(3+x)*x","A"
9874,1,40,28,0.176000," ","int((((-x^3+x^2+5*x-5)*exp(x)^2+(-2*x^2+10)*exp(x)+x^5-x^4+5*x^3+15*x^2-50*x-50)*ln(-2*x^2+10)-2*exp(x)^2*x^2+(-4*x^3+4*x^2)*exp(x)-2*x^4-20*x^2)/(x^4-5*x^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x^{2}+{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x}+10\right) {\mathrm e}^{-x} \ln \left(-2 x^{2}+10\right)}{x}-2 \ln \left(x^{2}-5\right)$&$40$\\ \hline \end{longtable}"," ",0,"-(x^2+exp(2*x)-2*exp(x)+10)/x*exp(-x)*ln(-2*x^2+10)-2*ln(x^2-5)","A"
9875,1,66,36,0.839000," ","int((-12*exp(-4*x+5)^2+(24*x^2-8*x-76)*exp(-4*x+5)-12*x^4+24*x^3-8*x^2-40*x+20)/((exp(3)^2-6*x*exp(3)+9*x^2)*exp(-4*x+5)^2+((-2*x^2+2*x)*exp(3)^2+(12*x^3-12*x^2+2*x-10)*exp(3)-18*x^4+18*x^3-6*x^2+30*x)*exp(-4*x+5)+(x^4-2*x^3+x^2)*exp(3)^2+(-6*x^5+12*x^4-8*x^3+12*x^2-10*x)*exp(3)+9*x^6-18*x^5+15*x^4-36*x^3+31*x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-4 x^{2}+4 x +4 \,{\mathrm e}^{-4 x +5}}{x^{2} {\mathrm e}^{3}-3 x^{3}-x \,{\mathrm e}^{3}-{\mathrm e}^{3} {\mathrm e}^{-4 x +5}+3 x^{2}+3 \,{\mathrm e}^{-4 x +5} x -x +5}$&$66$\\ risch&$-\frac{4}{{\mathrm e}^{3}-3 x}-\frac{4 \left(x -5\right)}{\left({\mathrm e}^{3}-3 x \right) \left(x^{2} {\mathrm e}^{3}-3 x^{3}-x \,{\mathrm e}^{3}-{\mathrm e}^{-4 x +8}+3 x^{2}+3 \,{\mathrm e}^{-4 x +5} x -x +5\right)}$&$70$\\ \hline \end{longtable}"," ",0,"(-4*x^2+4*x+4*exp(-4*x+5))/(x^2*exp(3)-3*x^3-x*exp(3)-exp(3)*exp(-4*x+5)+3*x^2+3*exp(-4*x+5)*x-x+5)","A"
9876,1,33,37,0.070000," ","int((-x*ln(1/25*ln(5)^2-4/25*ln(2)*ln(5)+4/25*ln(2)^2)+24*exp(5)*ln(3)+4*x*exp(5))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-2 \ln \left(5\right)+2 \ln \left(\ln \left(5\right)-2 \ln \left(2\right)\right)-4 \,{\mathrm e}^{5}\right) x -12 \,{\mathrm e}^{5} \ln \left(3\right)}{x^{2}}$&$33$\\ gosper&$-\frac{12 \,{\mathrm e}^{5} \ln \left(3\right)+4 x \,{\mathrm e}^{5}-x \ln \left(\frac{\ln \left(5\right)^{2}}{25}-\frac{4 \ln \left(2\right) \ln \left(5\right)}{25}+\frac{4 \ln \left(2\right)^{2}}{25}\right)}{x^{2}}$&$41$\\ norman&$\frac{\left(-2 \ln \left(5\right)+\ln \left(\ln \left(5\right)^{2}-4 \ln \left(2\right) \ln \left(5\right)+4 \ln \left(2\right)^{2}\right)-4 \,{\mathrm e}^{5}\right) x -12 \,{\mathrm e}^{5} \ln \left(3\right)}{x^{2}}$&$41$\\ default&$-\frac{12 \,{\mathrm e}^{5} \ln \left(3\right)}{x^{2}}-\frac{-\ln \left(\frac{\ln \left(5\right)^{2}}{25}-\frac{4 \ln \left(2\right) \ln \left(5\right)}{25}+\frac{4 \ln \left(2\right)^{2}}{25}\right)+4 \,{\mathrm e}^{5}}{x}$&$43$\\ \hline \end{longtable}"," ",0,"((-2*ln(5)+2*ln(ln(5)-2*ln(2))-4*exp(5))*x-12*exp(5)*ln(3))/x^2","A"
9877,1,21,25,0.041000," ","int(-ln(x)+(12*x^2-20)*exp(-x^3+5*x)-6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x -4 \,{\mathrm e}^{-x \left(x^{2}-5\right)}-x \ln \left(x \right)$&$21$\\ default&$-5 x -4 \,{\mathrm e}^{-x^{3}+5 x}-x \ln \left(x \right)$&$22$\\ norman&$-5 x -4 \,{\mathrm e}^{-x^{3}+5 x}-x \ln \left(x \right)$&$22$\\ \hline \end{longtable}"," ",0,"-5*x-4*exp(-x*(x^2-5))-x*ln(x)","A"
9878,1,13,20,0.040000," ","int((6*x^2*exp(x^2)-3)*exp(5+exp(x^2))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 \,{\mathrm e}^{5+{\mathrm e}^{x^{2}}}}{x}$&$13$\\ risch&$\frac{3 \,{\mathrm e}^{5+{\mathrm e}^{x^{2}}}}{x}$&$13$\\ \hline \end{longtable}"," ",0,"3*exp(5+exp(x^2))/x","A"
9879,1,129,24,0.201000," ","int((((-x^2-5*x-4)*ln((4+x)/(2*x+2))+3*x)*ln(2*x)+(x^2+5*x+4)*ln((4+x)/(2*x+2)))/(x^4+5*x^3+4*x^2)/ln((4+x)/(2*x+2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i \ln \left(2 x \right)}{x \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x +1}\right) \mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(\frac{i \left(4+x \right)}{x +1}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x +1}\right) \mathrm{csgn}\left(\frac{i \left(4+x \right)}{x +1}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(4+x \right)\right) \mathrm{csgn}\left(\frac{i \left(4+x \right)}{x +1}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(4+x \right)}{x +1}\right)^{3}-2 i \ln \left(2\right)+2 i \ln \left(4+x \right)-2 i \ln \left(x +1\right)\right)}$&$129$\\ \hline \end{longtable}"," ",0,"2*I*ln(2*x)/x/(Pi*csgn(I/(x+1))*csgn(I*(4+x))*csgn(I*(4+x)/(x+1))-Pi*csgn(I/(x+1))*csgn(I*(4+x)/(x+1))^2-Pi*csgn(I*(4+x))*csgn(I*(4+x)/(x+1))^2+Pi*csgn(I*(4+x)/(x+1))^3-2*I*ln(2)+2*I*ln(4+x)-2*I*ln(x+1))","C"
9880,1,16,15,0.068000," ","int((((-6*x^3-6*x^2)*exp(x)-6*x)*exp(exp(x)*x+1)-2)/(27*x^4*exp(exp(x)*x+1)^3+27*x^3*ln(x)*exp(exp(x)*x+1)^2+9*x^2*ln(x)^2*exp(exp(x)*x+1)+x*ln(x)^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{\left(3 \,{\mathrm e}^{{\mathrm e}^{x} x +1} x +\ln \left(x \right)\right)^{2}}$&$16$\\ \hline \end{longtable}"," ",0,"1/(3*exp(exp(x)*x+1)*x+ln(x))^2","A"
9881,1,22,22,0.066000," ","int((6*x*exp(x)^2*ln(x)+(8*x-2)*exp(x)^2)*exp((6*x-3)*ln(x))+(14*x+7)*exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{2 x} x^{6 x -3}+7 x \,{\mathrm e}^{2 x}$&$22$\\ default&$7 x \,{\mathrm e}^{2 x}+{\mathrm e}^{2 x} {\mathrm e}^{\left(6 x -3\right) \ln \left(x \right)} x$&$24$\\ \hline \end{longtable}"," ",0,"x*exp(2*x)*x^(6*x-3)+7*x*exp(2*x)","A"
9882,1,18,22,0.031000," ","int((2*x^3-15*x^2+18*x+18)/(2*x^3-13*x^2+18*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(x \right)-\ln \left(2 x^{2}-13 x +18\right)$&$18$\\ default&$x -\ln \left(2 x -9\right)+\ln \left(x \right)-\ln \left(x -2\right)$&$19$\\ norman&$x -\ln \left(2 x -9\right)+\ln \left(x \right)-\ln \left(x -2\right)$&$19$\\ \hline \end{longtable}"," ",0,"x+ln(x)-ln(2*x^2-13*x+18)","A"
9883,1,75,26,0.143000," ","int(1/4*(-4*ln(2)^2*exp(1/16*(3*x^2+2*x)/ln(2)^2)^4+(2048*ln(2)^2-768*x^2-256*x)*exp(1/16*(3*x^2+2*x)/ln(2)^2)^3+(3072*x*ln(2)^2-1152*x^3-384*x^2)*exp(1/16*(3*x^2+2*x)/ln(2)^2)^2+(1536*x^2*ln(2)^2-576*x^4-192*x^3)*exp(1/16*(3*x^2+2*x)/ln(2)^2)+256*x^3*ln(2)^2-96*x^5-32*x^4)/ln(2)^2/exp(1/16*(3*x^2+2*x)/ln(2)^2)^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +512 x \,{\mathrm e}^{-\frac{x \left(3 x +2\right)}{16 \ln \left(2\right)^{2}}}+384 x^{2} {\mathrm e}^{-\frac{x \left(3 x +2\right)}{8 \ln \left(2\right)^{2}}}+128 x^{3} {\mathrm e}^{-\frac{3 x \left(3 x +2\right)}{16 \ln \left(2\right)^{2}}}+16 x^{4} {\mathrm e}^{-\frac{x \left(3 x +2\right)}{4 \ln \left(2\right)^{2}}}$&$75$\\ default&$\frac{-4 x \ln \left(2\right)^{2}+64 \ln \left(2\right)^{2} x^{4} {\mathrm e}^{-\frac{3 x^{2}}{4 \ln \left(2\right)^{2}}-\frac{x}{2 \ln \left(2\right)^{2}}}+512 \ln \left(2\right)^{2} x^{3} {\mathrm e}^{-\frac{9 x^{2}}{16 \ln \left(2\right)^{2}}-\frac{3 x}{8 \ln \left(2\right)^{2}}}+1536 \ln \left(2\right)^{2} x^{2} {\mathrm e}^{-\frac{3 x^{2}}{8 \ln \left(2\right)^{2}}-\frac{x}{4 \ln \left(2\right)^{2}}}+2048 \ln \left(2\right)^{2} x \,{\mathrm e}^{-\frac{3 x^{2}}{16 \ln \left(2\right)^{2}}-\frac{x}{8 \ln \left(2\right)^{2}}}}{4 \ln \left(2\right)^{2}}$&$121$\\ \hline \end{longtable}"," ",0,"-x+512*x*exp(-1/16*x*(3*x+2)/ln(2)^2)+384*x^2*exp(-1/8*x*(3*x+2)/ln(2)^2)+128*x^3*exp(-3/16*x*(3*x+2)/ln(2)^2)+16*x^4*exp(-1/4*x*(3*x+2)/ln(2)^2)","B"
9884,1,16,15,0.021000," ","int((4*x^2*exp(x)^4+8*x^3-20)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{4 x}+4 x^{2}+\frac{20}{x}$&$16$\\ risch&${\mathrm e}^{4 x}+4 x^{2}+\frac{20}{x}$&$16$\\ norman&$\frac{20+x \,{\mathrm e}^{4 x}+4 x^{3}}{x}$&$18$\\ \hline \end{longtable}"," ",0,"exp(x)^4+4*x^2+20/x","A"
9885,1,24,25,0.127000," ","int((-4*x^3+2*x^2+2*x+16)/exp((4+x)/x)^4/exp(x^2-x+2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{-\frac{2 \left(x^{3}-x^{2}+4 x +8\right)}{x}}$&$24$\\ gosper&$x^{2} {\mathrm e}^{-\frac{4 \left(4+x \right)}{x}} {\mathrm e}^{-2 x^{2}+2 x -4}$&$26$\\ \hline \end{longtable}"," ",0,"x^2*exp(-2*(x^3-x^2+4*x+8)/x)","A"
9886,1,20,19,0.033000," ","int(1250*exp(ln(2-exp(5))^2+x)*exp(exp(ln(2-exp(5))^2+x)+1/3)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$625 \,{\mathrm e}^{2 \,{\mathrm e}^{\ln \left(2-{\mathrm e}^{5}\right)^{2}+x}+\frac{2}{3}}$&$20$\\ default&$625 \,{\mathrm e}^{2 \,{\mathrm e}^{\ln \left(2-{\mathrm e}^{5}\right)^{2}+x}+\frac{2}{3}}$&$20$\\ norman&$625 \,{\mathrm e}^{2 \,{\mathrm e}^{\ln \left(2-{\mathrm e}^{5}\right)^{2}+x}+\frac{2}{3}}$&$20$\\ risch&$625 \,{\mathrm e}^{2 \,{\mathrm e}^{\ln \left(2-{\mathrm e}^{5}\right)^{2}+x}+\frac{2}{3}}$&$20$\\ \hline \end{longtable}"," ",0,"625*exp(exp(ln(2-exp(5))^2+x)+1/3)^2","A"
9887,1,7,10,0.129000," ","int(2/(2*ln(2)+2*x-8),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(\ln \left(2\right)+x -4\right)$&$7$\\ norman&$\ln \left(\ln \left(2\right)+x -4\right)$&$7$\\ risch&$\ln \left(\ln \left(2\right)+x -4\right)$&$7$\\ meijerg&$\frac{2 \left(\ln \left(2\right)-4\right) \ln \left(1+\frac{2 x}{2 \ln \left(2\right)-8}\right)}{2 \ln \left(2\right)-8}$&$29$\\ \hline \end{longtable}"," ",0,"ln(ln(2)+x-4)","A"
9888,1,46,30,0.252000," ","int((ln(ln(3*exp(3)))^4+(-5*x^2*ln(3)^2+20*x^2*ln(3)-20*x^2)*ln(ln(3*exp(3)))^2+2*x^4*ln(3)^4-16*x^4*ln(3)^3+48*x^4*ln(3)^2-64*x^4*ln(3)+32*x^4)/(ln(ln(3*exp(3)))^4+(-2*x^2*ln(3)^2+8*x^2*ln(3)-8*x^2)*ln(ln(3*exp(3)))^2+x^4*ln(3)^4-8*x^4*ln(3)^3+24*x^4*ln(3)^2-32*x^4*ln(3)+16*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{\ln \left(3+\ln \left(3\right)\right)^{2} x}{x^{2} \ln \left(3\right)^{2}-4 x^{2} \ln \left(3\right)-\ln \left(3+\ln \left(3\right)\right)^{2}+4 x^{2}}$&$46$\\ norman&$\frac{\left(2 \ln \left(3\right)^{2}-8 \ln \left(3\right)+8\right) x^{3}-\ln \left(3+\ln \left(3\right)\right)^{2} x}{x^{2} \ln \left(3\right)^{2}-4 x^{2} \ln \left(3\right)-\ln \left(3+\ln \left(3\right)\right)^{2}+4 x^{2}}$&$61$\\ gosper&$\frac{x \left(2 x^{2} \ln \left(3\right)^{2}-8 x^{2} \ln \left(3\right)-\ln \left(\ln \left(3 \,{\mathrm e}^{3}\right)\right)^{2}+8 x^{2}\right)}{x^{2} \ln \left(3\right)^{2}-4 x^{2} \ln \left(3\right)-\ln \left(\ln \left(3 \,{\mathrm e}^{3}\right)\right)^{2}+4 x^{2}}$&$68$\\ default&$2 x +\frac{\ln \left(\ln \left(3 \,{\mathrm e}^{3}\right)\right)^{2}}{2 \left(2-\ln \left(3\right)\right) \left(-x \ln \left(3\right)+\ln \left(\ln \left(3 \,{\mathrm e}^{3}\right)\right)+2 x \right)}+\frac{\ln \left(\ln \left(3 \,{\mathrm e}^{3}\right)\right)^{2}}{2 \left(2-\ln \left(3\right)\right) \left(-x \ln \left(3\right)-\ln \left(\ln \left(3 \,{\mathrm e}^{3}\right)\right)+2 x \right)}$&$77$\\ \hline \end{longtable}"," ",0,"2*x+ln(3+ln(3))^2*x/(x^2*ln(3)^2-4*x^2*ln(3)-ln(3+ln(3))^2+4*x^2)","A"
9889,1,41,26,0.085000," ","int(1/625*((-2500*x^3+2500*x^2)*exp(x/exp(x))^2+(-100*exp(x)*x^2+100*x^4+7400*x^3-7500*x^2)*exp(x/exp(x))+(1250*exp(5)+4*x^3+300*x^2)*exp(x))/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x^{2}}{625}+\frac{12 x}{25}-\frac{2 \,{\mathrm e}^{5}}{x}+2 \,{\mathrm e}^{2 x \,{\mathrm e}^{-x}}+\frac{\left(-100 x -7500\right) {\mathrm e}^{x \,{\mathrm e}^{-x}}}{625}$&$41$\\ norman&$\frac{\left(-2 \,{\mathrm e}^{5} {\mathrm e}^{x}+\frac{12 \,{\mathrm e}^{x} x^{2}}{25}+\frac{2 \,{\mathrm e}^{x} x^{3}}{625}-12 \,{\mathrm e}^{x} x \,{\mathrm e}^{x \,{\mathrm e}^{-x}}+2 \,{\mathrm e}^{x} x \,{\mathrm e}^{2 x \,{\mathrm e}^{-x}}-\frac{4 \,{\mathrm e}^{x} {\mathrm e}^{x \,{\mathrm e}^{-x}} x^{2}}{25}\right) {\mathrm e}^{-x}}{x}$&$70$\\ \hline \end{longtable}"," ",0,"2/625*x^2+12/25*x-2*exp(5)/x+2*exp(2*x*exp(-x))+1/625*(-100*x-7500)*exp(x*exp(-x))","A"
9890,1,32,29,0.076000," ","int((((2*exp(2)*x+4)*ln((exp(2)*x+2)/x)^2+8*ln((exp(2)*x+2)/x)+(-2*x^3-x^2)*exp(2)-4*x^2-2*x)*exp((ln((exp(2)*x+2)/x)^2+x^2)/x)+(-x^2+2*x)*exp(2)+4-2*x)/((x^4*exp(2)+2*x^3)*exp((ln((exp(2)*x+2)/x)^2+x^2)/x)^3+((3*x^4+6*x^3)*exp(2)+6*x^3+12*x^2)*exp((ln((exp(2)*x+2)/x)^2+x^2)/x)^2+((3*x^4+12*x^3+12*x^2)*exp(2)+6*x^3+24*x^2+24*x)*exp((ln((exp(2)*x+2)/x)^2+x^2)/x)+(x^4+6*x^3+12*x^2+8*x)*exp(2)+2*x^3+12*x^2+24*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{\left(x \,{\mathrm e}^{\frac{\ln \left(\frac{{\mathrm e}^{2} x +2}{x}\right)^{2}+x^{2}}{x}}+x +2\right)^{2}}$&$32$\\ \hline \end{longtable}"," ",0,"x/(x*exp((ln((exp(2)*x+2)/x)^2+x^2)/x)+x+2)^2","A"
9891,1,28,31,0.175000," ","int(((-10*x^2*exp(4)-5*x-5)*exp(x^2*exp(4)+2+x)-15*x^2+10*x-5)/(x^2*exp(x^2*exp(4)+2+x)^2+(2*x^4-2*x^3+2*x^2+2*x)*exp(x^2*exp(4)+2+x)+x^6-2*x^5+3*x^4-x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{5}{x^{3}+{\mathrm e}^{x^{2} {\mathrm e}^{4}+2+x} x -x^{2}+x +1}$&$28$\\ risch&$\frac{5}{x^{3}+{\mathrm e}^{x^{2} {\mathrm e}^{4}+2+x} x -x^{2}+x +1}$&$28$\\ \hline \end{longtable}"," ",0,"5/(x^3+exp(x^2*exp(4)+2+x)*x-x^2+x+1)","A"
9892,1,7,8,0.018000," ","int(1/3*exp(2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{2} \ln \left(x \right)}{3}$&$7$\\ norman&$\frac{{\mathrm e}^{2} \ln \left(x \right)}{3}$&$7$\\ risch&$\frac{{\mathrm e}^{2} \ln \left(x \right)}{3}$&$7$\\ \hline \end{longtable}"," ",0,"1/3*exp(2)*ln(x)","A"
9893,1,22,24,0.056000," ","int(1/2*(16*x*ln(2)+8*x^2-1)*exp(16*ln(2)^2+16*x*ln(2)+4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{65536^{x} {\mathrm e}^{16 \ln \left(2\right)^{2}+4 x^{2}}}{2 x}$&$22$\\ gosper&$\frac{{\mathrm e}^{16 \ln \left(2\right)^{2}+16 x \ln \left(2\right)+4 x^{2}}}{2 x}$&$24$\\ norman&$\frac{{\mathrm e}^{16 \ln \left(2\right)^{2}+16 x \ln \left(2\right)+4 x^{2}}}{2 x}$&$24$\\ \hline \end{longtable}"," ",0,"1/2/x*65536^x*exp(16*ln(2)^2+4*x^2)","A"
9894,1,13,11,0.045000," ","int((-2*exp(256)-24)*exp((2*exp(256)+24)/exp(x))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\left(2 \,{\mathrm e}^{256}+24\right) {\mathrm e}^{-x}}$&$13$\\ derivativedivides&$-\frac{\left(-2 \,{\mathrm e}^{256}-24\right) {\mathrm e}^{\left(2 \,{\mathrm e}^{256}+24\right) {\mathrm e}^{-x}}}{2 \,{\mathrm e}^{256}+24}$&$29$\\ default&$-\frac{\left(-2 \,{\mathrm e}^{256}-24\right) {\mathrm e}^{\left(2 \,{\mathrm e}^{256}+24\right) {\mathrm e}^{-x}}}{2 \,{\mathrm e}^{256}+24}$&$29$\\ risch&$\frac{{\mathrm e}^{2 \left({\mathrm e}^{256}+12\right) {\mathrm e}^{-x}} {\mathrm e}^{256}}{{\mathrm e}^{256}+12}+\frac{12 \,{\mathrm e}^{2 \left({\mathrm e}^{256}+12\right) {\mathrm e}^{-x}}}{{\mathrm e}^{256}+12}$&$41$\\ \hline \end{longtable}"," ",0,"exp((2*exp(256)+24)/exp(x))","A"
9895,1,31,26,0.066000," ","int((exp(5)*ln((2-exp(1))/x)+(-3*x^2-12*x-1)*exp(5)+2*x)/exp(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{3}-6 x^{2}+x \ln \left(\frac{2-{\mathrm e}}{x}\right)+{\mathrm e}^{-5} x^{2}$&$31$\\ norman&$x \ln \left(\frac{2-{\mathrm e}}{x}\right)-x^{3}-\left(6 \,{\mathrm e}^{5}-1\right) {\mathrm e}^{-5} x^{2}$&$35$\\ default&${\mathrm e}^{-5} \left({\mathrm e}^{5} \left(-x^{3}-6 x^{2}-x \right)+\frac{2 \,{\mathrm e}^{5} x \ln \left(\frac{2-{\mathrm e}}{x}\right)}{2-{\mathrm e}}+\frac{2 \,{\mathrm e}^{5} x}{2-{\mathrm e}}-\frac{{\mathrm e}^{5} {\mathrm e} x \ln \left(\frac{2-{\mathrm e}}{x}\right)}{2-{\mathrm e}}-\frac{{\mathrm e}^{5} {\mathrm e} x}{2-{\mathrm e}}+x^{2}\right)$&$105$\\ derivativedivides&$-{\mathrm e}^{-5} \left(2-{\mathrm e}\right) \left({\mathrm e}^{5} \left(-\frac{x \ln \left(\frac{2-{\mathrm e}}{x}\right)}{2-{\mathrm e}}-\frac{x}{2-{\mathrm e}}\right)+\frac{{\mathrm e}^{2} {\mathrm e}^{5} x^{3}}{\left(2-{\mathrm e}\right)^{3}}-\frac{6 \,{\mathrm e} \,{\mathrm e}^{5} x^{2}}{\left(2-{\mathrm e}\right)^{2}}+\frac{{\mathrm e}^{5} x}{2-{\mathrm e}}-\frac{4 x^{3} {\mathrm e}^{5} {\mathrm e}}{\left(2-{\mathrm e}\right)^{3}}+\frac{12 x^{2} {\mathrm e}^{5}}{\left(2-{\mathrm e}\right)^{2}}+\frac{{\mathrm e} x^{2}}{\left(2-{\mathrm e}\right)^{2}}+\frac{4 x^{3} {\mathrm e}^{5}}{\left(2-{\mathrm e}\right)^{3}}-\frac{2 x^{2}}{\left(2-{\mathrm e}\right)^{2}}\right)$&$172$\\ \hline \end{longtable}"," ",0,"-x^3-6*x^2+x*ln((2-exp(1))/x)+exp(-5)*x^2","A"
9896,1,26,32,0.226000," ","int(((-24*x^3+90*x^2-72*x)*ln(x)+(-6*x^2+24*x-18)*exp(2)-12*x^3+42*x^2-36*x)/((16*x^6-48*x^5+36*x^4)*ln(x)^2+(16*x^5-48*x^4+36*x^3)*exp(2)*ln(x)+(4*x^4-12*x^3+9*x^2)*exp(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x -6}{x \left(2 x -3\right) \left(2 x \ln \left(x \right)+{\mathrm e}^{2}\right)}$&$26$\\ norman&$\frac{3 x -6}{x \left(2 x -3\right) \left(2 x \ln \left(x \right)+{\mathrm e}^{2}\right)}$&$27$\\ \hline \end{longtable}"," ",0,"3*(x-2)/x/(2*x-3)/(2*x*ln(x)+exp(2))","A"
9897,1,24,21,0.062000," ","int(1/5*((4*x^2+8*x-12)*exp(x)^2+(5*x^3+46*x^2+62*x-48)*exp(x)+60*x^2+120*x)*exp(1/5*(4*exp(x)+20*x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left({\mathrm e}^{x}+4\right) x^{2} \left(3+x \right) {\mathrm e}^{\frac{4 x +\frac{4 \,{\mathrm e}^{x}}{5}}{x}}$&$24$\\ norman&${\mathrm e}^{x} x^{3} {\mathrm e}^{\frac{4 \,{\mathrm e}^{x}+20 x}{5 x}}+12 x^{2} {\mathrm e}^{\frac{4 \,{\mathrm e}^{x}+20 x}{5 x}}+4 x^{3} {\mathrm e}^{\frac{4 \,{\mathrm e}^{x}+20 x}{5 x}}+3 \,{\mathrm e}^{x} x^{2} {\mathrm e}^{\frac{4 \,{\mathrm e}^{x}+20 x}{5 x}}$&$81$\\ \hline \end{longtable}"," ",0,"(exp(x)+4)*x^2*(3+x)*exp(4/5*(5*x+exp(x))/x)","A"
9898,1,35,29,0.081000," ","int(1/3*((-6*x+54)*exp((6*x*ln(2*ln(2))+72)/ln(2*ln(2)))+2*x^2-3)/exp(1/3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-x +3 \,{\mathrm e}^{\frac{6 x \ln \left(2 \ln \left(2\right)\right)+72}{\ln \left(2 \ln \left(2\right)\right)}}\right) {\mathrm e}^{-\frac{x^{2}}{3}}$&$35$\\ risch&$-x \,{\mathrm e}^{-\frac{x^{2}}{3}}+3 \,{\mathrm e}^{-\frac{x^{2} \ln \left(2\right)+x^{2} \ln \left(\ln \left(2\right)\right)-18 x \ln \left(2\right)-18 x \ln \left(\ln \left(2\right)\right)-216}{3 \left(\ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)}}$&$50$\\ \hline \end{longtable}"," ",0,"(-x+3*exp((6*x*ln(2*ln(2))+72)/ln(2*ln(2))))/exp(1/3*x^2)","A"
9899,1,21,25,0.026000," ","int((exp(x)*x+8*x*exp(3)-48*x^2+16*x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-24 x^{2}+16 x -\ln \left(x \right)+8 x \,{\mathrm e}^{3}+{\mathrm e}^{x}$&$21$\\ norman&$\left(8 \,{\mathrm e}^{3}+16\right) x -24 x^{2}+{\mathrm e}^{x}-\ln \left(x \right)$&$21$\\ risch&$-24 x^{2}+16 x -\ln \left(x \right)+8 x \,{\mathrm e}^{3}+{\mathrm e}^{x}$&$21$\\ \hline \end{longtable}"," ",0,"-24*x^2+16*x-ln(x)+8*x*exp(3)+exp(x)","A"
9900,1,36,29,0.429000," ","int(((((-x-1)*exp(x)-2*x-1)*ln(x)+(-x^2-x)*exp(x)-2*x^2-x)*ln(x+ln(x))*ln(3/ln(x+ln(x)))^2+(3*x+3*ln(x))*ln(x+ln(x))*ln(3/ln(x+ln(x)))+3*x+3)/(x+ln(x))/ln(x+ln(x))/ln(3/ln(x+ln(x)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}-{\mathrm e}^{x} x -x +\frac{6 i x}{2 i \ln \left(3\right)-2 i \ln \left(\ln \left(x +\ln \left(x \right)\right)\right)}$&$36$\\ \hline \end{longtable}"," ",0,"-x^2-exp(x)*x-x+6*I*x/(2*I*ln(3)-2*I*ln(ln(x+ln(x))))","C"
9901,1,15,17,0.163000," ","int((-4*ln(2)*exp(2*ln(2)/(x+1))^2+(x^2+2*x+1)*exp(x+33/16))/(x^2+2*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4^{\frac{2}{x +1}}+{\mathrm e}^{x +\frac{33}{16}}$&$15$\\ norman&$\frac{{\mathrm e}^{\frac{4 \ln \left(2\right)}{x +1}}+x \,{\mathrm e}^{\frac{4 \ln \left(2\right)}{x +1}}+{\mathrm e}^{x +\frac{33}{16}} x +{\mathrm e}^{x +\frac{33}{16}}}{x +1}$&$44$\\ default&${\mathrm e}^{\frac{33}{16}} \left(-\frac{{\mathrm e}^{x}}{x +1}-{\mathrm e}^{-1} \expIntegralEi \left(1, -x -1\right)\right)+{\mathrm e}^{\frac{33}{16}} \left({\mathrm e}^{x}-\frac{{\mathrm e}^{x}}{x +1}+{\mathrm e}^{-1} \expIntegralEi \left(1, -x -1\right)\right)+\frac{{\mathrm e}^{\frac{4 \ln \left(2\right)}{x +1}}+x \,{\mathrm e}^{\frac{4 \ln \left(2\right)}{x +1}}}{x +1}+\frac{2 \,{\mathrm e}^{\frac{33}{16}} {\mathrm e}^{x}}{x +1}$&$93$\\ \hline \end{longtable}"," ",0,"(4^(1/(x+1)))^2+exp(x+33/16)","A"
9902,1,72,26,0.264000," ","int(1/10*((x-1)*exp(2*ln(ln(x/exp(x)))/ln(5))-10*x*ln(5)*ln(x/exp(x)))/x/ln(5)/ln(x/exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x -\frac{\left(\ln \left(x \right)-\ln \left({\mathrm e}^{x}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{-x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{-x}\right)\right)}{2}\right)^{\frac{2}{\ln \left(5\right)}}}{20}$&$72$\\ \hline \end{longtable}"," ",0,"-x-1/20*(ln(x)-ln(exp(x))-1/2*I*Pi*csgn(I*x*exp(-x))*(-csgn(I*x*exp(-x))+csgn(I*x))*(-csgn(I*x*exp(-x))+csgn(I*exp(-x))))^(2/ln(5))","C"
9903,1,22,22,0.180000," ","int((90*exp(3)*exp(25)^2-120*x^2)/(9*exp(3)^2*exp(25)^4+(12*x*exp(1)+24*x^2+60*x)*exp(3)*exp(25)^2+4*x^2*exp(1)^2+(16*x^3+40*x^2)*exp(1)+16*x^4+80*x^3+100*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{10 x}{{\mathrm e}^{53}+\frac{2 x \,{\mathrm e}}{3}+\frac{4 x^{2}}{3}+\frac{10 x}{3}}$&$22$\\ gosper&$\frac{30 x}{3 \,{\mathrm e}^{3} {\mathrm e}^{50}+2 x \,{\mathrm e}+4 x^{2}+10 x}$&$28$\\ norman&$\frac{30 x}{3 \,{\mathrm e}^{3} {\mathrm e}^{50}+2 x \,{\mathrm e}+4 x^{2}+10 x}$&$28$\\ default&$\frac{15 \left(\munderset{\textit{\_R} =\RootOf \left(16 \textit{\_Z}^{4}+\left(16 \,{\mathrm e}+80\right) \textit{\_Z}^{3}+\left(24 \,{\mathrm e}^{53}+4 \,{\mathrm e}^{2}+40 \,{\mathrm e}+100\right) \textit{\_Z}^{2}+\left(12 \,{\mathrm e}^{54}+60 \,{\mathrm e}^{53}\right) \textit{\_Z} +9 \,{\mathrm e}^{106}\right)}{\sum}\frac{\left(3 \,{\mathrm e}^{53}-4 \textit{\_R}^{2}\right) \ln \left(x -\textit{\_R} \right)}{3 \,{\mathrm e}^{54}+12 \textit{\_R} \,{\mathrm e}^{53}+2 \,{\mathrm e}^{2} \textit{\_R} +12 \textit{\_R}^{2} {\mathrm e}+15 \,{\mathrm e}^{53}+16 \textit{\_R}^{3}+20 \textit{\_R} \,{\mathrm e}+60 \textit{\_R}^{2}+50 \textit{\_R}}\right)}{2}$&$119$\\ \hline \end{longtable}"," ",0,"10*x/(exp(53)+2/3*x*exp(1)+4/3*x^2+10/3*x)","A"
9904,1,12,24,0.143000," ","int((-6*x^2+12*x+43)/(6*x^2-12*x+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\frac{49}{6 \left(x -1\right)}$&$12$\\ risch&$-x -\frac{49}{6 \left(x -1\right)}$&$12$\\ gosper&$-\frac{6 x^{2}+43}{6 \left(x -1\right)}$&$15$\\ meijerg&$\frac{55 x}{6 \left(1-x \right)}-\frac{x \left(-3 x +6\right)}{3 \left(1-x \right)}$&$27$\\ \hline \end{longtable}"," ",0,"-x-49/6/(x-1)","A"
9905,1,8,12,0.008000," ","int(2*x-1/4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-\frac{1}{4} x$&$8$\\ norman&$x^{2}-\frac{1}{4} x$&$8$\\ risch&$x^{2}-\frac{1}{4} x$&$8$\\ gosper&$\frac{x \left(4 x -1\right)}{4}$&$9$\\ \hline \end{longtable}"," ",0,"x^2-1/4*x","A"
9906,1,20,20,0.037000," ","int(((1-2*x)*exp(x)*exp(exp(1)-3)+1)/exp(x)/exp(exp(1)-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+x -{\mathrm e}^{3-{\mathrm e}-x}$&$20$\\ norman&$\left({\mathrm e}^{x} x -{\mathrm e}^{x} x^{2}-{\mathrm e}^{-{\mathrm e}} {\mathrm e}^{3}\right) {\mathrm e}^{-x}$&$29$\\ default&${\mathrm e}^{3-{\mathrm e}} \left(-{\mathrm e}^{-x}+{\mathrm e}^{{\mathrm e}} {\mathrm e}^{-3} x -{\mathrm e}^{{\mathrm e}} {\mathrm e}^{-3} x^{2}\right)$&$33$\\ \hline \end{longtable}"," ",0,"-x^2+x-exp(3-exp(1)-x)","A"
9907,1,11,12,0.017000," ","int((10-4*x)*exp(1)+64*x-160,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-2 \left({\mathrm e}-16\right) \left(x -5\right) x$&$11$\\ norman&$\left(-2 \,{\mathrm e}+32\right) x^{2}+\left(10 \,{\mathrm e}-160\right) x$&$20$\\ default&${\mathrm e} \left(-2 x^{2}+10 x \right)+32 x^{2}-160 x$&$22$\\ risch&$-2 x^{2} {\mathrm e}+10 x \,{\mathrm e}+32 x^{2}-160 x$&$22$\\ \hline \end{longtable}"," ",0,"-2*(exp(1)-16)*(x-5)*x","A"
9908,1,29,26,0.116000," ","int(((-ln(2)-6)*exp(((x-2)*ln(2)+6*x-5)/(3+ln(2)))*exp(exp(((x-2)*ln(2)+6*x-5)/(3+ln(2))))+(3+ln(2))*ln(6))/(3+ln(2))/ln(6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x -\frac{{\mathrm e}^{{\mathrm e}^{\frac{\left(x -2\right) \ln \left(2\right)+6 x -5}{3+\ln \left(2\right)}}}}{\ln \left(6\right)}$&$29$\\ derivativedivides&$\frac{\ln \left(6\right) \ln \left(2\right) \ln \left({\mathrm e}^{\frac{\left(x -2\right) \ln \left(2\right)+6 x -5}{3+\ln \left(2\right)}}\right)+3 \ln \left(6\right) \ln \left({\mathrm e}^{\frac{\left(x -2\right) \ln \left(2\right)+6 x -5}{3+\ln \left(2\right)}}\right)-{\mathrm e}^{{\mathrm e}^{\frac{\left(x -2\right) \ln \left(2\right)+6 x -5}{3+\ln \left(2\right)}}} \ln \left(2\right)-6 \,{\mathrm e}^{{\mathrm e}^{\frac{\left(x -2\right) \ln \left(2\right)+6 x -5}{3+\ln \left(2\right)}}}}{\ln \left(6\right) \left(\ln \left(2\right)+6\right)}$&$108$\\ default&$\frac{\ln \left(6\right) x \ln \left(2\right)+3 x \ln \left(6\right)-\frac{{\mathrm e}^{{\mathrm e}^{\frac{\left(x -2\right) \ln \left(2\right)+6 x -5}{3+\ln \left(2\right)}}} \ln \left(2\right)^{2}}{\ln \left(2\right)+6}-\frac{9 \,{\mathrm e}^{{\mathrm e}^{\frac{\left(x -2\right) \ln \left(2\right)+6 x -5}{3+\ln \left(2\right)}}} \ln \left(2\right)}{\ln \left(2\right)+6}-\frac{18 \,{\mathrm e}^{{\mathrm e}^{\frac{\left(x -2\right) \ln \left(2\right)+6 x -5}{3+\ln \left(2\right)}}}}{\ln \left(2\right)+6}}{\left(3+\ln \left(2\right)\right) \ln \left(6\right)}$&$114$\\ risch&$\frac{x \ln \left(2\right)^{2}}{\left(3+\ln \left(2\right)\right) \left(\ln \left(2\right)+\ln \left(3\right)\right)}+\frac{x \ln \left(2\right) \ln \left(3\right)}{\left(3+\ln \left(2\right)\right) \left(\ln \left(2\right)+\ln \left(3\right)\right)}+\frac{3 x \ln \left(2\right)}{\left(3+\ln \left(2\right)\right) \left(\ln \left(2\right)+\ln \left(3\right)\right)}+\frac{3 x \ln \left(3\right)}{\left(3+\ln \left(2\right)\right) \left(\ln \left(2\right)+\ln \left(3\right)\right)}-\frac{{\mathrm e}^{{\mathrm e}^{\frac{x \ln \left(2\right)-2 \ln \left(2\right)+6 x -5}{3+\ln \left(2\right)}}} \ln \left(2\right)}{\left(3+\ln \left(2\right)\right) \left(\ln \left(2\right)+\ln \left(3\right)\right)}-\frac{3 \,{\mathrm e}^{{\mathrm e}^{\frac{x \ln \left(2\right)-2 \ln \left(2\right)+6 x -5}{3+\ln \left(2\right)}}}}{\left(3+\ln \left(2\right)\right) \left(\ln \left(2\right)+\ln \left(3\right)\right)}$&$152$\\ \hline \end{longtable}"," ",0,"x-1/ln(6)*exp(exp(((x-2)*ln(2)+6*x-5)/(3+ln(2))))","A"
9909,1,27,29,0.204000," ","int(((45*x-180)*ln(-8/(x-4))^2+(18*exp(1)+90*x+108)*ln(-8/(x-4))+(-3*x+12)*exp(1)-18*x+72)*exp((3*exp(1)+15*x+18)/(3*ln(-8/(x-4))^2+x))/((9*x-36)*ln(-8/(x-4))^4+(6*x^2-24*x)*ln(-8/(x-4))^2+x^3-4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{3 \,{\mathrm e}+15 x +18}{3 \ln \left(-\frac{8}{x -4}\right)^{2}+x}}$&$27$\\ \hline \end{longtable}"," ",0,"exp(3*(exp(1)+5*x+6)/(3*ln(-8/(x-4))^2+x))","A"
9910,1,22,22,0.025000," ","int(1/45*(10*x^3*ln(x^2)^2+(20*x^3-3)*ln(x^2)+6)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\ln \left(x^{2}\right)}{15 x}+\frac{x^{2} \ln \left(x^{2}\right)^{2}}{9}$&$22$\\ risch&$\frac{\ln \left(x^{2}\right)}{15 x}+\frac{x^{2} \ln \left(x^{2}\right)^{2}}{9}$&$22$\\ norman&$\frac{\frac{x^{3} \ln \left(x^{2}\right)^{2}}{9}+\frac{\ln \left(x^{2}\right)}{15}}{x}$&$23$\\ \hline \end{longtable}"," ",0,"1/15*ln(x^2)/x+1/9*x^2*ln(x^2)^2","A"
9911,1,29,27,0.413000," ","int(((-x^2-5)*exp(1+1/2*ln(2))^2+(-2*x^2+5*x-5)*exp(1-x)*exp(1+1/2*ln(2))-x^2*exp(1-x)^2)/(x^2*exp(1+1/2*ln(2))^2+2*x^2*exp(1-x)*exp(1+1/2*ln(2))+x^2*exp(1-x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{10 \,{\mathrm e}}{x \left(2 \,{\mathrm e}+\sqrt{2}\, {\mathrm e}^{1-x}\right)}$&$29$\\ norman&$\frac{-x^{2} {\mathrm e}^{1-x}+5 \,{\mathrm e} \sqrt{2}-{\mathrm e} \sqrt{2}\, x^{2}}{x \left({\mathrm e}^{1+\frac{\ln \left(2\right)}{2}}+{\mathrm e}^{1-x}\right)}$&$50$\\ \hline \end{longtable}"," ",0,"-x+10*exp(1)/x/(2*exp(1)+2^(1/2)*exp(1-x))","A"
9912,1,21,20,0.140000," ","int(1/4*((2*x-4)*exp(2/x)*exp(2*x*exp(2/x)+exp(4)+3)+3*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{2 x \,{\mathrm e}^{\frac{2}{x}}+{\mathrm e}^{4}+3}}{4}+\frac{3 x}{4}$&$21$\\ risch&$\frac{{\mathrm e}^{2 x \,{\mathrm e}^{\frac{2}{x}}+{\mathrm e}^{4}+3}}{4}+\frac{3 x}{4}$&$21$\\ \hline \end{longtable}"," ",0,"1/4*exp(2*x*exp(2/x)+exp(4)+3)+3/4*x","A"
9913,1,23,21,0.129000," ","int(-64*exp(4)*ln(1/3*((-2*x-4)*exp(4)+2)/exp(4))/((2+x)*exp(4)-1)/exp(16*ln(1/3*((-2*x-4)*exp(4)+2)/exp(4))^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{-16 \ln \left(\frac{\left(\left(-2 x -4\right) {\mathrm e}^{4}+2\right) {\mathrm e}^{-4}}{3}\right)^{2}}$&$23$\\ norman&$2 \,{\mathrm e}^{-16 \ln \left(\frac{\left(\left(-2 x -4\right) {\mathrm e}^{4}+2\right) {\mathrm e}^{-4}}{3}\right)^{2}}$&$27$\\ \hline \end{longtable}"," ",0,"2*exp(-16*ln(1/3*((-2*x-4)*exp(4)+2)*exp(-4))^2)","A"
9914,1,25,22,0.120000," ","int(((2*x-4)*ln(-1/4*x^3+1/2*x^2)^2+(-6*x+8)*ln(-1/4*x^3+1/2*x^2)-x^2+2*x)/(2*x^4-4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{x}{2}-\frac{\ln \left(-\frac{1}{4} x^{3}+\frac{1}{2} x^{2}\right)^{2}}{2}}{x^{2}}$&$25$\\ risch&$-\frac{\ln \left(-\frac{1}{4} x^{3}+\frac{1}{2} x^{2}\right)^{2}}{2 x^{2}}+\frac{1}{2 x}$&$26$\\ \hline \end{longtable}"," ",0,"(1/2*x-1/2*ln(-1/4*x^3+1/2*x^2)^2)/x^2","A"
9915,1,44,31,0.066000," ","int(((100*x*exp(5)^2+(-200*x^3-170*x^2)*exp(5)+100*x^5+170*x^4+72*x^3)*ln((10*x*exp(5)-10*x^3-9*x^2)/(5*exp(5)-5*x^2-4*x))^2+(-100*x*exp(5)^2+(200*x^3+180*x^2)*exp(5)-100*x^5-160*x^4-72*x^3)*ln((10*x*exp(5)-10*x^3-9*x^2)/(5*exp(5)-5*x^2-4*x))+300*x*exp(5)^2+(-600*x^3-510*x^2)*exp(5)+300*x^5+510*x^4+216*x^3)/((50*exp(5)^2+(-100*x^2-85*x)*exp(5)+50*x^4+85*x^3+36*x^2)*ln((10*x*exp(5)-10*x^3-9*x^2)/(5*exp(5)-5*x^2-4*x))^4+(300*exp(5)^2+(-600*x^2-510*x)*exp(5)+300*x^4+510*x^3+216*x^2)*ln((10*x*exp(5)-10*x^3-9*x^2)/(5*exp(5)-5*x^2-4*x))^2+450*exp(5)^2+(-900*x^2-765*x)*exp(5)+450*x^4+765*x^3+324*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{\ln \left(\frac{10 x \,{\mathrm e}^{5}-10 x^{3}-9 x^{2}}{5 \,{\mathrm e}^{5}-5 x^{2}-4 x}\right)^{2}+3}$&$44$\\ \hline \end{longtable}"," ",0,"x^2/(ln((10*x*exp(5)-10*x^3-9*x^2)/(5*exp(5)-5*x^2-4*x))^2+3)","A"
9916,1,11,18,0.033000," ","int(exp(4/3)^2*exp(x)+exp(4/3)^2+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\frac{8}{3}} x +{\mathrm e}^{x +\frac{8}{3}}$&$11$\\ derivativedivides&${\mathrm e}^{\frac{8}{3}} {\mathrm e}^{x}+\left({\mathrm e}^{\frac{8}{3}}+1\right) \ln \left({\mathrm e}^{x}\right)$&$15$\\ default&$x +{\mathrm e}^{\frac{8}{3}} x +{\mathrm e}^{\frac{8}{3}} {\mathrm e}^{x}$&$16$\\ norman&$\left({\mathrm e}^{\frac{8}{3}}+1\right) x +{\mathrm e}^{\frac{8}{3}} {\mathrm e}^{x}$&$17$\\ \hline \end{longtable}"," ",0,"x+exp(8/3)*x+exp(x+8/3)","A"
9917,1,22,23,0.129000," ","int((3*exp(-ln(5-x)+1)*exp(exp(-ln(5-x)+1))-6*x^2+33*x-15)/(x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-3 x^{2}+3 x -3 \,{\mathrm e}^{-\frac{{\mathrm e}}{x -5}}$&$22$\\ default&$3 x -3 \,{\mathrm e}^{-1} {\mathrm e}^{1-\frac{{\mathrm e}}{x -5}}-3 x^{2}$&$28$\\ norman&$\frac{18 x^{2}-3 x^{3}-3 x \,{\mathrm e}^{\frac{{\mathrm e}}{5-x}}+15 \,{\mathrm e}^{\frac{{\mathrm e}}{5-x}}-75}{x -5}$&$46$\\ \hline \end{longtable}"," ",0,"-3*x^2+3*x-3*exp(-exp(1)/(x-5))","A"
9918,1,11,10,0.020000," ","int(-2*x*exp(ln(2)-x^2-237/2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\ln \left(2\right)-x^{2}-\frac{237}{2}}$&$11$\\ derivativedivides&${\mathrm e}^{\ln \left(2\right)-x^{2}-\frac{237}{2}}$&$11$\\ default&${\mathrm e}^{\ln \left(2\right)-x^{2}-\frac{237}{2}}$&$11$\\ norman&${\mathrm e}^{\ln \left(2\right)-x^{2}-\frac{237}{2}}$&$11$\\ risch&$2 \,{\mathrm e}^{-\frac{237}{2}-x^{2}}$&$11$\\ meijerg&$-{\mathrm e}^{\ln \left(2\right)-\frac{237}{2}} \left(1-{\mathrm e}^{-x^{2}}\right)$&$18$\\ \hline \end{longtable}"," ",0,"exp(ln(2)-x^2-237/2)","A"
9919,1,29,30,0.082000," ","int(1/6*((((-30*exp(x)*x-10*x)*exp(x^2)-15*exp(x)-5)*exp(1/2*exp(x^2)+1/2*x)+2)*exp(5*exp(1/2*exp(x^2)+1/2*x))+6*exp(x))/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{\left(3 \,{\mathrm e}^{x}+1\right) {\mathrm e}^{-x +5 \,{\mathrm e}^{\frac{{\mathrm e}^{x^{2}}}{2}+\frac{x}{2}}}}{3}$&$29$\\ \hline \end{longtable}"," ",0,"x-1/3*(3*exp(x)+1)*exp(-x+5*exp(1/2*exp(x^2)+1/2*x))","A"
9920,1,49,22,0.126000," ","int((((-6*x+42)*ln(2)+6*x^2-39*x-15)*exp(x)^2+((-6*x^2+48*x+30)*ln(2)+6*x^3-42*x^2-60*x)*exp(x)+(6*x^2+30*x)*ln(2)-3*x^3-45*x^2)/(x^5-25*x^4+250*x^3-1250*x^2+3125*x-3125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 x^{3}-3 x^{2} \ln \left(2\right)+3 x \,{\mathrm e}^{2 x}+6 \,{\mathrm e}^{x} x^{2}-3 \ln \left(2\right) {\mathrm e}^{2 x}-6 x \ln \left(2\right) {\mathrm e}^{x}}{\left(x -5\right)^{4}}$&$49$\\ risch&$\frac{-3 x^{2} \ln \left(2\right)+3 x^{3}}{x^{4}-20 x^{3}+150 x^{2}-500 x +625}-\frac{3 \left(\ln \left(2\right)-x \right) {\mathrm e}^{2 x}}{\left(x -5\right)^{4}}-\frac{6 x \left(\ln \left(2\right)-x \right) {\mathrm e}^{x}}{\left(x -5\right)^{4}}$&$69$\\ default&$\frac{375}{\left(x -5\right)^{4}}+\frac{3}{x -5}+\frac{15 \,{\mathrm e}^{2 x}}{\left(x -5\right)^{4}}+\frac{3 \,{\mathrm e}^{2 x}}{\left(x -5\right)^{3}}+\frac{60 \,{\mathrm e}^{x}}{\left(x -5\right)^{3}}+\frac{6 \,{\mathrm e}^{x}}{\left(x -5\right)^{2}}+\frac{150 \,{\mathrm e}^{x}}{\left(x -5\right)^{4}}-\frac{3 \ln \left(2\right)}{\left(x -5\right)^{2}}-\frac{75 \ln \left(2\right)}{\left(x -5\right)^{4}}-\frac{30 \ln \left(2\right)}{\left(x -5\right)^{3}}-\frac{3 \ln \left(2\right) {\mathrm e}^{2 x}}{\left(x -5\right)^{4}}+\frac{45}{\left(x -5\right)^{2}}+\frac{225}{\left(x -5\right)^{3}}-\frac{30 \ln \left(2\right) {\mathrm e}^{x}}{\left(x -5\right)^{4}}-\frac{6 \ln \left(2\right) {\mathrm e}^{x}}{\left(x -5\right)^{3}}$&$141$\\ \hline \end{longtable}"," ",0,"(3*x^3-3*x^2*ln(2)+3*x*exp(x)^2+6*exp(x)*x^2-3*ln(2)*exp(x)^2-6*x*ln(2)*exp(x))/(x-5)^4","B"
9921,1,24,25,0.039000," ","int((exp(x)^4+(50*x^4+2*x^2+100*x-300)*exp(x)^2+625*x^8+50*x^6+2500*x^5+2501*x^4-19900*x^3+2600*x^2+4600*x-7500)/(exp(x)^4+(50*x^4+2*x^2+100*x+100)*exp(x)^2+625*x^8+50*x^6+2500*x^5+2501*x^4+100*x^3+2600*x^2+5000*x+2500),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{200}{25 x^{4}+{\mathrm e}^{2 x}+x^{2}+50 x +50}$&$24$\\ \hline \end{longtable}"," ",0,"x+200/(25*x^4+exp(2*x)+x^2+50*x+50)","A"
9922,1,274,27,0.979000," ","int((((-x^2+2*x)*ln(x)*ln(ln(x))+(2-x)*ln(x))*ln((-x*ln(ln(x))-1)/(x^2-2*x))*ln(ln((-x*ln(ln(x))-1)/(x^2-2*x)))*ln(ln(ln((-x*ln(ln(x))-1)/(x^2-2*x))))+(((x^3-2*x^2)*ln(x)*ln(3*x)+(-x^3+2*x^2)*ln(x))*ln(ln(x))+(x^2-2*x)*ln(x)*ln(3*x)+(-x^2+2*x)*ln(x))*ln((-x*ln(ln(x))-1)/(x^2-2*x))*ln(ln((-x*ln(ln(x))-1)/(x^2-2*x)))-x^2*ln(x)*ln(3*x)*ln(ln(x))+((-2*x+2)*ln(x)+x^2-2*x)*ln(3*x))/((x^3-2*x^2)*ln(x)*ln(3*x)^2*ln(ln(x))+(x^2-2*x)*ln(x)*ln(3*x)^2)/ln((-x*ln(ln(x))-1)/(x^2-2*x))/ln(ln((-x*ln(ln(x))-1)/(x^2-2*x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i \ln \left(\ln \left(i \pi -\ln \left(x \right)-\ln \left(x -2\right)+\ln \left(x \ln \left(\ln \left(x \right)\right)+1\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(x \ln \left(\ln \left(x \right)\right)+1\right)}{x -2}\right) \left(-\mathrm{csgn}\left(\frac{i \left(x \ln \left(\ln \left(x \right)\right)+1\right)}{x -2}\right)+\mathrm{csgn}\left(\frac{i}{x -2}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(x \ln \left(\ln \left(x \right)\right)+1\right)}{x -2}\right)+\mathrm{csgn}\left(i \left(x \ln \left(\ln \left(x \right)\right)+1\right)\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(x \ln \left(\ln \left(x \right)\right)+1\right)}{x \left(x -2\right)}\right) \left(-\mathrm{csgn}\left(\frac{i \left(x \ln \left(\ln \left(x \right)\right)+1\right)}{x \left(x -2\right)}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left(x \ln \left(\ln \left(x \right)\right)+1\right)}{x \left(x -2\right)}\right)+\mathrm{csgn}\left(\frac{i \left(x \ln \left(\ln \left(x \right)\right)+1\right)}{x -2}\right)\right)}{2}+i \pi  \mathrm{csgn}\left(\frac{i \left(x \ln \left(\ln \left(x \right)\right)+1\right)}{x \left(x -2\right)}\right)^{2} \left(\mathrm{csgn}\left(\frac{i \left(x \ln \left(\ln \left(x \right)\right)+1\right)}{x \left(x -2\right)}\right)-1\right)\right)\right)}{2 i \ln \left(3\right)+2 i \ln \left(x \right)}+\frac{2 i x}{2 i \ln \left(3\right)+2 i \ln \left(x \right)}$&$274$\\ \hline \end{longtable}"," ",0,"2*I/(2*I*ln(3)+2*I*ln(x))*ln(ln(I*Pi-ln(x)-ln(x-2)+ln(x*ln(ln(x))+1)-1/2*I*Pi*csgn(I/(x-2)*(x*ln(ln(x))+1))*(-csgn(I/(x-2)*(x*ln(ln(x))+1))+csgn(I/(x-2)))*(-csgn(I/(x-2)*(x*ln(ln(x))+1))+csgn(I*(x*ln(ln(x))+1)))-1/2*I*Pi*csgn(I/x/(x-2)*(x*ln(ln(x))+1))*(-csgn(I/x/(x-2)*(x*ln(ln(x))+1))+csgn(I/x))*(-csgn(I/x/(x-2)*(x*ln(ln(x))+1))+csgn(I/(x-2)*(x*ln(ln(x))+1)))+I*Pi*csgn(I/x/(x-2)*(x*ln(ln(x))+1))^2*(csgn(I/x/(x-2)*(x*ln(ln(x))+1))-1)))+2*I*x/(2*I*ln(3)+2*I*ln(x))","C"
9923,1,21,31,0.047000," ","int((-20*x*ln(2)*ln(5)+(40*x^2+80*x+100)*ln(2))/(4*x^4-20*x^2+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{5 \ln \left(2\right) \left(\ln \left(5\right)-4 x -4\right)}{2 x^{2}-5}$&$21$\\ default&$-\frac{20 \ln \left(2\right) \left(\frac{x}{2}-\frac{\ln \left(5\right)}{8}+\frac{1}{2}\right)}{x^{2}-\frac{5}{2}}$&$21$\\ risch&$\frac{-10 x \ln \left(2\right)+\frac{5 \ln \left(2\right) \ln \left(5\right)}{2}-10 \ln \left(2\right)}{x^{2}-\frac{5}{2}}$&$25$\\ norman&$\frac{-20 x \ln \left(2\right)+5 \ln \left(2\right) \ln \left(5\right)-20 \ln \left(2\right)}{2 x^{2}-5}$&$27$\\ \hline \end{longtable}"," ",0,"5*ln(2)*(ln(5)-4*x-4)/(2*x^2-5)","A"
9924,1,18,21,0.116000," ","int(((3*ln(x)^2-6*ln(x)+3)*exp(-4/(3*ln(x)-3))^2+24*x^4*ln(x)^2-48*x^4*ln(x)+8*x^4)*exp(2*x^4/exp(-4/(3*ln(x)-3))^2)/(3*ln(x)^2-6*ln(x)+3)/exp(-4/(3*ln(x)-3))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{2 x^{4} {\mathrm e}^{\frac{8}{3 \left(\ln \left(x \right)-1\right)}}}$&$18$\\ \hline \end{longtable}"," ",0,"x*exp(2*x^4*exp(8/3/(ln(x)-1)))","A"
9925,1,14,13,0.085000," ","int((-2*ln(exp(3)-x+6)+exp(3)-x+6)/((exp(3)-x+6)*ln(exp(3)-x+6)^2+x*exp(3)-x^2+6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left({\mathrm e}^{3}-x +6\right)^{2}+x \right)$&$14$\\ risch&$\ln \left(\ln \left({\mathrm e}^{3}-x +6\right)^{2}+x \right)$&$14$\\ \hline \end{longtable}"," ",0,"ln(ln(exp(3)-x+6)^2+x)","A"
9926,1,30,29,1.035000," ","int(((5*exp(1)^2+(10*x^2+60*x+90)*exp(1)+5*x^4+60*x^3+270*x^2+540*x+405)*exp(exp(4)/(5*exp(1)+5*x^2+30*x+45))+(4*x+12)*exp(4)*exp(5)+(-4*x^2-12*x)*exp(4))*exp(2/exp(exp(4)/(5*exp(1)+5*x^2+30*x+45)))/((5*exp(1)^2+(10*x^2+60*x+90)*exp(1)+5*x^4+60*x^3+270*x^2+540*x+405)*exp(5)^2+(-10*x*exp(1)^2+(-20*x^3-120*x^2-180*x)*exp(1)-10*x^5-120*x^4-540*x^3-1080*x^2-810*x)*exp(5)+5*x^2*exp(1)^2+(10*x^4+60*x^3+90*x^2)*exp(1)+5*x^6+60*x^5+270*x^4+540*x^3+405*x^2)/exp(exp(4)/(5*exp(1)+5*x^2+30*x+45)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{-\frac{{\mathrm e}^{4}}{5 \left(x^{2}+{\mathrm e}+6 x +9\right)}}}}{{\mathrm e}^{5}-x}$&$30$\\ norman&$\frac{\left(\left({\mathrm e}+9\right) {\mathrm e}^{\frac{{\mathrm e}^{4}}{5 \,{\mathrm e}+5 x^{2}+30 x +45}} {\mathrm e}^{2 \,{\mathrm e}^{-\frac{{\mathrm e}^{4}}{5 \,{\mathrm e}+5 x^{2}+30 x +45}}}+{\mathrm e}^{\frac{{\mathrm e}^{4}}{5 \,{\mathrm e}+5 x^{2}+30 x +45}} x^{2} {\mathrm e}^{2 \,{\mathrm e}^{-\frac{{\mathrm e}^{4}}{5 \,{\mathrm e}+5 x^{2}+30 x +45}}}+6 \,{\mathrm e}^{\frac{{\mathrm e}^{4}}{5 \,{\mathrm e}+5 x^{2}+30 x +45}} x \,{\mathrm e}^{2 \,{\mathrm e}^{-\frac{{\mathrm e}^{4}}{5 \,{\mathrm e}+5 x^{2}+30 x +45}}}\right) {\mathrm e}^{-\frac{{\mathrm e}^{4}}{5 \,{\mathrm e}+5 x^{2}+30 x +45}}}{\left(x^{2}+{\mathrm e}+6 x +9\right) \left({\mathrm e}^{5}-x \right)}$&$192$\\ \hline \end{longtable}"," ",0,"1/(exp(5)-x)*exp(2*exp(-1/5*exp(4)/(x^2+exp(1)+6*x+9)))","A"
9927,1,15,14,0.049000," ","int((14*exp(x)*x^2+28*x)*exp(exp(x))/(exp(1)+18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{14 x^{2} {\mathrm e}^{{\mathrm e}^{x}}}{{\mathrm e}+18}$&$15$\\ risch&$\frac{14 x^{2} {\mathrm e}^{{\mathrm e}^{x}}}{{\mathrm e}+18}$&$15$\\ \hline \end{longtable}"," ",0,"14*x^2/(exp(1)+18)*exp(exp(x))","A"
9928,1,29,24,0.057000," ","int(1/6561*(-2*exp(1)*ln(x)^2+2*exp(1)*ln(x)+(12800*x^4-6561*x^3-160*x^2)*exp(1)+13122*x^4)/x^3/exp(1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{2}}{6561 x^{2}}+\frac{6400 x^{2}}{6561}-x +x^{2} {\mathrm e}^{-1}-\frac{160 \ln \left(x \right)}{6561}$&$29$\\ norman&$\frac{-\frac{160 x^{2} \ln \left(x \right)}{6561}-x^{3}+\frac{\ln \left(x \right)^{2}}{6561}+\frac{\left(6400 \,{\mathrm e}+6561\right) {\mathrm e}^{-1} x^{4}}{6561}}{x^{2}}$&$39$\\ default&$\frac{{\mathrm e}^{-1} \left(6400 x^{2} {\mathrm e}-6561 x \,{\mathrm e}+6561 x^{2}-2 \,{\mathrm e} \left(-\frac{\ln \left(x \right)^{2}}{2 x^{2}}-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)-160 \,{\mathrm e} \ln \left(x \right)+2 \,{\mathrm e} \left(-\frac{\ln \left(x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}\right)\right)}{6561}$&$74$\\ \hline \end{longtable}"," ",0,"1/6561*ln(x)^2/x^2+6400/6561*x^2-x+x^2*exp(-1)-160/6561*ln(x)","A"
9929,1,50,24,0.152000," ","int(((30*x^6-360*x^5+1140*x^4-720*x^3+2220*x^2-340*x-120)*exp(x^3)^2+(-150*x^5+900*x^4-300*x^3+1850*x^2-600*x-100)*exp(x^3)-290*x)/(x^4+4*x^2+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{145}{x^{2}+2}+\frac{5 \left(x^{2}-12 x +36\right) {\mathrm e}^{2 x^{3}}}{x^{2}+2}-\frac{50 \left(x -6\right) {\mathrm e}^{x^{3}}}{x^{2}+2}$&$50$\\ norman&$\frac{180 \,{\mathrm e}^{2 x^{3}}+5 \,{\mathrm e}^{2 x^{3}} x^{2}-50 \,{\mathrm e}^{x^{3}} x -60 \,{\mathrm e}^{2 x^{3}} x +300 \,{\mathrm e}^{x^{3}}+145}{x^{2}+2}$&$52$\\ \hline \end{longtable}"," ",0,"145/(x^2+2)+5*(x^2-12*x+36)/(x^2+2)*exp(2*x^3)-50*(x-6)/(x^2+2)*exp(x^3)","B"
9930,1,37,23,0.351000," ","int((-20*ln(5)-40*x-100)/(ln(2*ln(2))^4+(-2*ln(5)^2+(-8*x-20)*ln(5)-8*x^2-40*x-50)*ln(2*ln(2))^2+ln(5)^4+(8*x+20)*ln(5)^3+(24*x^2+120*x+150)*ln(5)^2+(32*x^3+240*x^2+600*x+500)*ln(5)+16*x^4+160*x^3+600*x^2+1000*x+625),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{5}{\ln \left(2 \ln \left(2\right)\right)^{2}-\ln \left(5\right)^{2}-4 x \ln \left(5\right)-4 x^{2}-10 \ln \left(5\right)-20 x -25}$&$37$\\ norman&$-\frac{5}{\ln \left(2 \ln \left(2\right)\right)^{2}-\ln \left(5\right)^{2}-4 x \ln \left(5\right)-4 x^{2}-10 \ln \left(5\right)-20 x -25}$&$37$\\ risch&$-\frac{5}{\ln \left(2\right)^{2}+2 \ln \left(2\right) \ln \left(\ln \left(2\right)\right)-\ln \left(5\right)^{2}-4 x \ln \left(5\right)+\ln \left(\ln \left(2\right)\right)^{2}-4 x^{2}-10 \ln \left(5\right)-20 x -25}$&$46$\\ default&$-\frac{5}{2 \ln \left(2 \ln \left(2\right)\right) \left(2 x +5+\ln \left(2 \ln \left(2\right)\right)+\ln \left(5\right)\right)}+\frac{5}{2 \ln \left(2 \ln \left(2\right)\right) \left(2 x +5-\ln \left(2 \ln \left(2\right)\right)+\ln \left(5\right)\right)}$&$50$\\ \hline \end{longtable}"," ",0,"-5/(ln(2*ln(2))^2-ln(5)^2-4*x*ln(5)-4*x^2-10*ln(5)-20*x-25)","A"
9931,1,21,20,0.148000," ","int(((-6400*exp(5)-51200)*exp(16/x^4)+2*x^5)/(25*x^5*exp(5)+200*x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 x}{25 \,{\mathrm e}^{5}+200}+4 \,{\mathrm e}^{\frac{16}{x^{4}}}$&$21$\\ norman&$\frac{4 x^{4} {\mathrm e}^{\frac{16}{x^{4}}}+\frac{2 x^{5}}{25 \left({\mathrm e}^{5}+8\right)}}{x^{4}}$&$28$\\ \hline \end{longtable}"," ",0,"2*x/(25*exp(5)+200)+4*exp(16/x^4)","A"
9932,1,25,22,0.219000," ","int(((16*x^2+32*x+16)*exp(5/4)+4*x^4+8*x^3+64*x^2+128*x+64)/((16*x^2+32*x+16)*exp(5/4)^2+(-8*x^4-8*x^3+128*x^2+256*x+128)*exp(5/4)+x^6-32*x^4-32*x^3+256*x^2+512*x+256),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}+x}{-\frac{x^{3}}{4}+x \,{\mathrm e}^{\frac{5}{4}}+{\mathrm e}^{\frac{5}{4}}+4 x +4}$&$25$\\ gosper&$\frac{4 \left(x +1\right) x}{-x^{3}+4 x \,{\mathrm e}^{\frac{5}{4}}+4 \,{\mathrm e}^{\frac{5}{4}}+16 x +16}$&$28$\\ norman&$\frac{4 x^{2}+4 x}{-x^{3}+4 x \,{\mathrm e}^{\frac{5}{4}}+4 \,{\mathrm e}^{\frac{5}{4}}+16 x +16}$&$32$\\ default&$-2 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{6}+\left(-8 \,{\mathrm e}^{\frac{5}{4}}-32\right) \textit{\_Z}^{4}+\left(-8 \,{\mathrm e}^{\frac{5}{4}}-32\right) \textit{\_Z}^{3}+\left(256+128 \,{\mathrm e}^{\frac{5}{4}}+16 \,{\mathrm e}^{\frac{5}{2}}\right) \textit{\_Z}^{2}+\left(256 \,{\mathrm e}^{\frac{5}{4}}+32 \,{\mathrm e}^{\frac{5}{2}}+512\right) \textit{\_Z} +256+128 \,{\mathrm e}^{\frac{5}{4}}+16 \,{\mathrm e}^{\frac{5}{2}}\right)}{\sum}\frac{\left(16+\textit{\_R}^{4}+2 \textit{\_R}^{3}+4 \left(4+{\mathrm e}^{\frac{5}{4}}\right) \textit{\_R}^{2}+8 \left(4+{\mathrm e}^{\frac{5}{4}}\right) \textit{\_R} +4 \,{\mathrm e}^{\frac{5}{4}}\right) \ln \left(x -\textit{\_R} \right)}{-256-3 \textit{\_R}^{5}+16 \,{\mathrm e}^{\frac{5}{4}} \textit{\_R}^{3}+12 \,{\mathrm e}^{\frac{5}{4}} \textit{\_R}^{2}+64 \textit{\_R}^{3}-128 \textit{\_R} \,{\mathrm e}^{\frac{5}{4}}-16 \,{\mathrm e}^{\frac{5}{2}} \textit{\_R} +48 \textit{\_R}^{2}-128 \,{\mathrm e}^{\frac{5}{4}}-16 \,{\mathrm e}^{\frac{5}{2}}-256 \textit{\_R}}\right)$&$157$\\ \hline \end{longtable}"," ",0,"(x^2+x)/(-1/4*x^3+x*exp(5/4)+exp(5/4)+4*x+4)","A"
9933,1,32,24,0.138000," ","int(((-2*x^5-4*x^3-2*x^2-1)*exp(3)*exp(exp(3)/(x^4+x)/exp(x^2))+(x^8+2*x^5+x^2)*exp(x)*exp(x^2))/(x^8+2*x^5+x^2)/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x}+{\mathrm e}^{\frac{{\mathrm e}^{-x^{2}+3}}{x \left(x +1\right) \left(x^{2}-x +1\right)}}$&$32$\\ \hline \end{longtable}"," ",0,"exp(x)+exp(exp(-x^2+3)/x/(x+1)/(x^2-x+1))","A"
9934,1,23,22,0.114000," ","int((((x^4-5*x^3+12*x^2-8*x)*exp(1/16*x^2+5)*ln(x-1)*ln(x)+(-8*x^2+40*x-32)*exp(1/16*x^2+5)*ln(x-1))*ln(ln(x-1))+(8*x^2-32*x)*exp(1/16*x^2+5)*ln(x))/(5*x^2-5*x)/ln(x-1)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 \ln \left(\ln \left(x -1\right)\right) {\mathrm e}^{\frac{x^{2}}{16}+5} \left(x -4\right)}{5 \ln \left(x \right)}$&$23$\\ \hline \end{longtable}"," ",0,"8/5*ln(ln(x-1))*exp(1/16*x^2+5)/ln(x)*(x-4)","A"
9935,1,50,20,0.119000," ","int(((-10*x^5-2)*exp((-2*x*exp(x^5)+1)/x/exp(x^5))*exp(exp((-2*x*exp(x^5)+1)/x/exp(x^5)))^2+(40*x^5+8)*exp((-2*x*exp(x^5)+1)/x/exp(x^5))*exp(exp((-2*x*exp(x^5)+1)/x/exp(x^5))))/x^2/exp(x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 \,{\mathrm e}^{-\frac{\left(2 x \,{\mathrm e}^{x^{5}}-1\right) {\mathrm e}^{-x^{5}}}{x}}}-8 \,{\mathrm e}^{{\mathrm e}^{-\frac{\left(2 x \,{\mathrm e}^{x^{5}}-1\right) {\mathrm e}^{-x^{5}}}{x}}}$&$50$\\ \hline \end{longtable}"," ",0,"exp(2*exp(-(2*x*exp(x^5)-1)*exp(-x^5)/x))-8*exp(exp(-(2*x*exp(x^5)-1)*exp(-x^5)/x))","B"
9936,1,24,27,0.217000," ","int(((-2*x^3-x^2+10*x-5)*ln(x)+(-x^2+5)*ln((-x^2+5)/x))/(2*x^3-10*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(x \right) \ln \left(\frac{-x^{2}+5}{x}\right)}{2}-x \ln \left(x \right)+x$&$24$\\ risch&$-\frac{\ln \left(x \right) \ln \left(x^{2}-5\right)}{2}+\frac{\ln \left(x \right)^{2}}{2}-x \ln \left(x \right)+x +\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i \left(x^{2}-5\right)}{x}\right)^{2}}{2}+\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x^{2}-5\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-5\right)}{x}\right)}{4}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-5\right)}{x}\right)^{2}}{4}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(i \left(x^{2}-5\right)\right) \mathrm{csgn}\left(\frac{i \left(x^{2}-5\right)}{x}\right)^{2}}{4}-\frac{i \pi  \ln \left(x \right) \mathrm{csgn}\left(\frac{i \left(x^{2}-5\right)}{x}\right)^{3}}{4}-\frac{i \pi  \ln \left(x \right)}{2}$&$160$\\ \hline \end{longtable}"," ",0,"-1/2*ln(x)*ln((-x^2+5)/x)-x*ln(x)+x","A"
9937,1,16,15,0.082000," ","int(((-6*x-12)*exp(5)-6*x-12)*exp(-x+6)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{6 \left({\mathrm e}^{5}+1\right) {\mathrm e}^{-x +6}}{x^{2}}$&$16$\\ risch&$\frac{6 \left({\mathrm e}^{5}+1\right) {\mathrm e}^{-x +6}}{x^{2}}$&$16$\\ norman&$\frac{\left(6 \,{\mathrm e}^{5}+6\right) {\mathrm e}^{-x +6}}{x^{2}}$&$17$\\ derivativedivides&$\frac{6 \,{\mathrm e}^{-x +6}}{x^{2}}+48 \,{\mathrm e}^{5} \left(\frac{{\mathrm e}^{-x +6}}{2 x^{2}}-\frac{{\mathrm e}^{-x +6}}{2 x}+\frac{{\mathrm e}^{6} \expIntegralEi \left(1, x\right)}{2}\right)-6 \,{\mathrm e}^{5} \left(\frac{3 \,{\mathrm e}^{-x +6}}{x^{2}}-\frac{4 \,{\mathrm e}^{-x +6}}{x}+4 \,{\mathrm e}^{6} \expIntegralEi \left(1, x\right)\right)$&$81$\\ default&$\frac{6 \,{\mathrm e}^{-x +6}}{x^{2}}+48 \,{\mathrm e}^{5} \left(\frac{{\mathrm e}^{-x +6}}{2 x^{2}}-\frac{{\mathrm e}^{-x +6}}{2 x}+\frac{{\mathrm e}^{6} \expIntegralEi \left(1, x\right)}{2}\right)-6 \,{\mathrm e}^{5} \left(\frac{3 \,{\mathrm e}^{-x +6}}{x^{2}}-\frac{4 \,{\mathrm e}^{-x +6}}{x}+4 \,{\mathrm e}^{6} \expIntegralEi \left(1, x\right)\right)$&$81$\\ meijerg&$\left(-6 \,{\mathrm e}^{5}-6\right) {\mathrm e}^{6} \left(-\frac{1}{x}+1+\frac{-2 x +2}{2 x}-\frac{{\mathrm e}^{-x}}{x}+\expIntegralEi \left(1, x\right)\right)-12 \,{\mathrm e}^{11} \left(-\frac{1}{2 x^{2}}+\frac{1}{x}-\frac{3}{4}+\frac{9 x^{2}-12 x +6}{12 x^{2}}-\frac{\left(-3 x +3\right) {\mathrm e}^{-x}}{6 x^{2}}-\frac{\expIntegralEi \left(1, x\right)}{2}\right)-12 \,{\mathrm e}^{6} \left(-\frac{1}{2 x^{2}}+\frac{1}{x}-\frac{3}{4}+\frac{9 x^{2}-12 x +6}{12 x^{2}}-\frac{\left(-3 x +3\right) {\mathrm e}^{-x}}{6 x^{2}}-\frac{\expIntegralEi \left(1, x\right)}{2}\right)$&$136$\\ \hline \end{longtable}"," ",0,"6/x^2*(exp(5)+1)*exp(-x+6)","A"
9938,1,59,27,0.543000," ","int((exp(3)*ln(x)*ln(2/exp(x)^2)+x*ln(x)^4+(x*exp(3)-2*exp(2)*x)*ln(x)^2-x*exp(2)*exp(3)+x*exp(2)^2)/(2*x*ln(x)^4-4*x*exp(2)*ln(x)^2+2*x*exp(2)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\left({\mathrm e}^{2}-{\mathrm e}^{3}\right) x -x \ln \left(x \right)^{2}-{\mathrm e}^{3} \left(\ln \left({\mathrm e}^{x}\right)-x \right)+\frac{{\mathrm e}^{3} \left(\ln \left(2 \,{\mathrm e}^{-2 x}\right)+2 \ln \left({\mathrm e}^{x}\right)\right)}{2}}{2 \,{\mathrm e}^{2}-2 \ln \left(x \right)^{2}}$&$59$\\ risch&$-\frac{{\mathrm e}^{3} \ln \left({\mathrm e}^{x}\right)}{2 \left({\mathrm e}^{2}-\ln \left(x \right)^{2}\right)}+\frac{-i \pi  \,{\mathrm e}^{3} \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)+2 i \pi  \,{\mathrm e}^{3} \mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}-i \pi  \,{\mathrm e}^{3} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-2 \,{\mathrm e}^{3} \ln \left(2\right)-4 \,{\mathrm e}^{2} x +4 x \ln \left(x \right)^{2}}{-8 \,{\mathrm e}^{2}+8 \ln \left(x \right)^{2}}$&$112$\\ \hline \end{longtable}"," ",0,"1/2*((exp(2)-exp(3))*x-x*ln(x)^2-exp(3)*(ln(exp(x))-x)+1/2*exp(3)*(ln(2/exp(x)^2)+2*ln(exp(x))))/(exp(2)-ln(x)^2)","B"
9939,1,17,18,0.077000," ","int(((-108*x*ln(2*x)*ln(ln(2*x))+108*x+216)*exp(9*ln(ln(2*x))/(2+x))+(-5*x^3-20*x^2-20*x)*ln(2*x))/(12*x^3+48*x^2+48*x)/ln(2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 x}{12}+\ln \left(2 x \right)^{\frac{9}{2+x}}$&$17$\\ \hline \end{longtable}"," ",0,"-5/12*x+ln(2*x)^(9/(2+x))","A"
9940,1,33,24,0.039000," ","int(-2*ln(ln(5))^2-8*x*ln(ln(5))+(6*x^3+2)*exp(x^3)-6*x^2+6,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$6 x +2 \,{\mathrm e}^{x^{3}} x -2 x^{3}-2 x \ln \left(\ln \left(5\right)\right)^{2}-4 \ln \left(\ln \left(5\right)\right) x^{2}$&$33$\\ norman&$\left(-2 \ln \left(\ln \left(5\right)\right)^{2}+6\right) x -2 x^{3}+2 \,{\mathrm e}^{x^{3}} x -4 \ln \left(\ln \left(5\right)\right) x^{2}$&$33$\\ risch&$6 x +2 \,{\mathrm e}^{x^{3}} x -2 x^{3}-2 x \ln \left(\ln \left(5\right)\right)^{2}-4 \ln \left(\ln \left(5\right)\right) x^{2}$&$33$\\ \hline \end{longtable}"," ",0,"6*x+2*exp(x^3)*x-2*x^3-2*x*ln(ln(5))^2-4*ln(ln(5))*x^2","A"
9941,1,30,26,0.139000," ","int((((3*ln(x)^2+(2*x+6)*ln(x))*exp(exp(x))^2+(6*x*ln(x)^2+(4*x^2+12*x)*ln(x))*exp(exp(x))+3*x^2*ln(x)^2+(2*x^3+6*x^2)*ln(x))*ln(1/2*ln(x))*ln(ln(1/2*ln(x)))+(3*exp(x)*x-3)*ln(x)*exp(exp(x))*ln(1/2*ln(x))+(3*ln(x)+3+x)*exp(exp(x))^2+(6*x*ln(x)+2*x^2+6*x)*exp(exp(x))+3*x^2*ln(x)+x^3+3*x^2)/(3*ln(x)*exp(exp(x))^2+6*x*ln(x)*exp(exp(x))+3*x^2*ln(x))/ln(1/2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x \ln \left(x \right)+\frac{x^{2}}{3}+x \right) \ln \left(\ln \left(\frac{\ln \left(x \right)}{2}\right)\right)-\frac{x}{x +{\mathrm e}^{{\mathrm e}^{x}}}$&$30$\\ \hline \end{longtable}"," ",0,"(x*ln(x)+1/3*x^2+x)*ln(ln(1/2*ln(x)))-x/(x+exp(exp(x)))","A"
9942,1,36,35,0.219000," ","int(((x^4-10*x^3+34*x^2-48*x+32)*exp(ln(3*exp(2/x))-x)-4*x^3+36*x^2-96*x+32)/(x^2-8*x+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-{\mathrm e}^{\ln \left(3 \,{\mathrm e}^{\frac{2}{x}}\right)-x} x^{2}-2 x^{2}+4 x +\frac{32}{x -4}$&$36$\\ \hline \end{longtable}"," ",0,"-exp(ln(3*exp(2/x))-x)*x^2-2*x^2+4*x+32/(x-4)","A"
9943,1,31,31,0.065000," ","int(((4*(x-5)*ln(2)^2*ln(5-x)+4*x*ln(2)^2+2*(-3*x^3+15*x^2)*ln(2))*ln(x)+4*(5-x)*ln(2)^2*ln(5-x)+2*(x^3-5*x^2)*ln(2))*ln(ln(2))/(4*(x^3-5*x^2)*ln(2)^2*ln(5-x)^2+2*(-2*x^5+10*x^4)*ln(2)*ln(5-x)+x^7-5*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \ln \left(\ln \left(2\right)\right) \ln \left(2\right) \ln \left(x \right)}{x \left(2 \ln \left(2\right) \ln \left(5-x \right)-x^{2}\right)}$&$31$\\ \hline \end{longtable}"," ",0,"-2*ln(ln(2))*ln(2)/x*ln(x)/(2*ln(2)*ln(5-x)-x^2)","A"
9944,1,13,12,0.054000," ","int(1/8*(120*exp(5*x)-1)*exp(3*exp(5*x)-1/8*x-12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{3 \,{\mathrm e}^{5 x}-\frac{x}{8}-12}$&$13$\\ risch&${\mathrm e}^{3 \,{\mathrm e}^{5 x}-\frac{x}{8}-12}$&$13$\\ \hline \end{longtable}"," ",0,"exp(3*exp(5*x)-1/8*x-12)","A"
9945,1,16,23,0.021000," ","int((-2*x^2*exp(x^2)+2*x^2+x+4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+x +4 \ln \left(x \right)-{\mathrm e}^{x^{2}}$&$16$\\ norman&$x^{2}+x +4 \ln \left(x \right)-{\mathrm e}^{x^{2}}$&$16$\\ risch&$x^{2}+x +4 \ln \left(x \right)-{\mathrm e}^{x^{2}}$&$16$\\ \hline \end{longtable}"," ",0,"x^2+x+4*ln(x)-exp(x^2)","A"
9946,1,18,18,0.051000," ","int(1/10*((1-x)*ln(x)-4*ln(2)+1)/exp(x+136),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(\frac{x \ln \left(x \right)}{10}+\frac{2 \ln \left(2\right)}{5}\right) {\mathrm e}^{-x -136}$&$18$\\ risch&$\frac{x \,{\mathrm e}^{-x -136} \ln \left(x \right)}{10}+\frac{2 \,{\mathrm e}^{-x -136} \ln \left(2\right)}{5}$&$23$\\ \hline \end{longtable}"," ",0,"(1/10*x*ln(x)+2/5*ln(2))/exp(x+136)","A"
9947,1,32,30,0.081000," ","int(((-32*x^2-32*x-8)*ln(x^2)^2+(12*x^5+28*x^4+21*x^3+6*x^2)*ln(x^2)-8*x^5-24*x^4-22*x^3-6*x^2)*exp((2*x^4+5*x^3+3*x^2)/(8*x+4)/ln(x^2))/(16*x^5+16*x^4+4*x^3)/ln(x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{\frac{x^{2} \left(2 x +3\right) \left(x +1\right)}{4 \left(2 x +1\right) \ln \left(x^{2}\right)}}}{x^{2}}$&$32$\\ \hline \end{longtable}"," ",0,"1/x^2*exp(1/4*x^2*(2*x+3)*(x+1)/(2*x+1)/ln(x^2))","A"
9948,1,24,18,0.049000," ","int(1/2*((x-3)*exp(x)-6*x^4*ln(10)-12)/x^4/ln(10),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\frac{4}{x^{3}}+\frac{{\mathrm e}^{x}}{x^{3}}-6 \ln \left(10\right) x}{2 \ln \left(10\right)}$&$24$\\ norman&$\frac{-3 x^{4}+\frac{2}{\ln \left(10\right)}+\frac{{\mathrm e}^{x}}{2 \ln \left(10\right)}}{x^{3}}$&$25$\\ risch&$-\frac{3 x \ln \left(2\right)}{\ln \left(2\right)+\ln \left(5\right)}-\frac{3 x \ln \left(5\right)}{\ln \left(2\right)+\ln \left(5\right)}+\frac{2}{\left(\ln \left(2\right)+\ln \left(5\right)\right) x^{3}}+\frac{{\mathrm e}^{x}}{2 \left(\ln \left(2\right)+\ln \left(5\right)\right) x^{3}}$&$52$\\ \hline \end{longtable}"," ",0,"1/2/ln(10)*(4/x^3+exp(x)/x^3-6*ln(10)*x)","A"
9949,1,17,14,0.025000," ","int(1/5*(-exp(4)^2*ln(x)+4*exp(4)^2+5)/exp(4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \ln \left(x \right)}{5}+{\mathrm e}^{-8} x \,{\mathrm e}^{8}+{\mathrm e}^{-8} x$&$17$\\ norman&$\left(\left({\mathrm e}^{8}+1\right) {\mathrm e}^{-4} x -\frac{x \,{\mathrm e}^{4} \ln \left(x \right)}{5}\right) {\mathrm e}^{-4}$&$26$\\ default&$\frac{{\mathrm e}^{-8} \left(5 x +5 x \,{\mathrm e}^{8}-{\mathrm e}^{8} \ln \left(x \right) x \right)}{5}$&$27$\\ \hline \end{longtable}"," ",0,"-1/5*x*ln(x)+exp(-8)*x*exp(8)+exp(-8)*x","A"
9950,1,17,16,0.161000," ","int((-4*exp(x)*x+4*x+8)*exp(ln(1/4*x^2)+1-exp(x)+x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \,{\mathrm e}^{\ln \left(\frac{x^{2}}{4}\right)+1-{\mathrm e}^{x}+x}$&$17$\\ norman&$4 \,{\mathrm e}^{\ln \left(\frac{x^{2}}{4}\right)+1-{\mathrm e}^{x}+x}$&$17$\\ risch&$x^{2} {\mathrm e}^{1-\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}}{2}-{\mathrm e}^{x}+x}$&$62$\\ \hline \end{longtable}"," ",0,"4*exp(ln(1/4*x^2)+1-exp(x)+x)","A"
9951,1,133,25,0.345000," ","int(((-10*x-4)*ln(25*x^2+20*x+4)^2+((10*x^2-16*x)*ln(x^2)+20*x^2+8*x)*ln(25*x^2+20*x+4)+(-10*x^3+16*x^2)*ln(x^2)-10*x^3-4*x^2-5*x-2)*exp(-ln(x^2)*ln(25*x^2+20*x+4)^2+2*x*ln(x^2)*ln(25*x^2+20*x+4)-x^2*ln(x^2))/(5*x^3+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{-\frac{\left(-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+2 i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)-i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}+4 \ln \left(x \right)\right) \left(i \pi  \mathrm{csgn}\left(i \left(x +\frac{2}{5}\right)^{2}\right)^{3}-2 i \pi  \mathrm{csgn}\left(i \left(x +\frac{2}{5}\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(x +\frac{2}{5}\right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(x +\frac{2}{5}\right)^{2}\right) \mathrm{csgn}\left(i \left(x +\frac{2}{5}\right)\right)^{2}-4 \ln \left(x +\frac{2}{5}\right)+2 x \right)^{2}}{8}}}{x}$&$133$\\ \hline \end{longtable}"," ",0,"1/x*exp(-1/8*(-I*Pi*csgn(I*x^2)^3+2*I*Pi*csgn(I*x)*csgn(I*x^2)^2-I*Pi*csgn(I*x)^2*csgn(I*x^2)+4*ln(x))*(I*Pi*csgn(I*(x+2/5)^2)^3-2*I*Pi*csgn(I*(x+2/5)^2)^2*csgn(I*(x+2/5))+I*Pi*csgn(I*(x+2/5)^2)*csgn(I*(x+2/5))^2-4*ln(x+2/5)+2*x)^2)","C"
9952,1,23,13,0.022000," ","int(((10*x+10)*ln(-3*x)+10*x^2+11*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$10 \ln \left(-3 x \right) x +x +5 x^{2}+5 \ln \left(-3 x \right)^{2}$&$23$\\ default&$10 \ln \left(-3 x \right) x +x +5 x^{2}+5 \ln \left(-3 x \right)^{2}$&$23$\\ norman&$10 \ln \left(-3 x \right) x +x +5 x^{2}+5 \ln \left(-3 x \right)^{2}$&$23$\\ risch&$10 \ln \left(-3 x \right) x +x +5 x^{2}+5 \ln \left(-3 x \right)^{2}$&$23$\\ \hline \end{longtable}"," ",0,"10*ln(-3*x)*x+x+5*x^2+5*ln(-3*x)^2","A"
9953,1,172,28,0.364000," ","int((((-4*x^3-14*x^2+18*x)*exp(5)*ln(-x^2+x)+(4*x-2)*exp(5))*ln(x)^5+(-4*x^3-4*x^2+8*x)*exp(5)*ln(-x^2+x)*ln(x)^3+(4*x^3+12*x^2-16*x)*exp(5)*ln(-x^2+x)*ln(x)^2+(-x^3+x^2)*exp(5)*ln(-x^2+x)*ln(x)+(2*x^3-2*x^2)*exp(5)*ln(-x^2+x))/(2*x^2-2*x)/ln(x)^5/exp(1/4*((4*x^2+36*x+64)*ln(x)^4+(4*x^2+16*x)*ln(x)^2+x^2)/ln(x)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-i \pi  \,{\mathrm e}^{5} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}-\frac{i \pi  \,{\mathrm e}^{5} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)}{2}+\frac{i \pi  \,{\mathrm e}^{5} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}}{2}+\frac{i \pi  \,{\mathrm e}^{5} \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(i x \left(x -1\right)\right)^{2}}{2}+\frac{i \pi  \,{\mathrm e}^{5} \mathrm{csgn}\left(i x \left(x -1\right)\right)^{3}}{2}+i \pi  \,{\mathrm e}^{5}+{\mathrm e}^{5} \ln \left(x \right)+{\mathrm e}^{5} \ln \left(x -1\right)\right) {\mathrm e}^{-\frac{4 x^{2} \ln \left(x \right)^{4}+36 x \ln \left(x \right)^{4}+64 \ln \left(x \right)^{4}+4 x^{2} \ln \left(x \right)^{2}+16 x \ln \left(x \right)^{2}+x^{2}}{4 \ln \left(x \right)^{4}}}$&$172$\\ \hline \end{longtable}"," ",0,"(-I*Pi*exp(5)*csgn(I*x*(x-1))^2-1/2*I*Pi*exp(5)*csgn(I*x)*csgn(I*(x-1))*csgn(I*x*(x-1))+1/2*I*Pi*exp(5)*csgn(I*x)*csgn(I*x*(x-1))^2+1/2*I*Pi*exp(5)*csgn(I*(x-1))*csgn(I*x*(x-1))^2+1/2*I*Pi*exp(5)*csgn(I*x*(x-1))^3+I*Pi*exp(5)+exp(5)*ln(x)+exp(5)*ln(x-1))*exp(-1/4*(4*x^2*ln(x)^4+36*x*ln(x)^4+64*ln(x)^4+4*x^2*ln(x)^2+16*x*ln(x)^2+x^2)/ln(x)^4)","C"
9954,1,33,21,0.032000," ","int((30*x*ln(100/2401/x^2)*ln(5*ln(100/2401/x^2))^2-10*x*ln(100/2401/x^2)*ln(5*ln(100/2401/x^2))-10*x)/ln(100/2401/x^2)/ln(5*ln(100/2401/x^2))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-5 x^{2}+15 x^{2} \ln \left(5 \ln \left(\frac{100}{2401 x^{2}}\right)\right)}{\ln \left(5 \ln \left(\frac{100}{2401 x^{2}}\right)\right)}$&$33$\\ \hline \end{longtable}"," ",0,"(-5*x^2+15*x^2*ln(5*ln(100/2401/x^2)))/ln(5*ln(100/2401/x^2))","A"
9955,1,23,29,0.044000," ","int(((x^4+6*x^3+11*x^2)*exp(5)-4*x^4-24*x^3-48*x^2-72*x-108)/(x^4+6*x^3+9*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \,{\mathrm e}^{5}-4 x -\frac{2 \,{\mathrm e}^{5}}{3+x}+\frac{12}{x}$&$23$\\ norman&$\frac{\left({\mathrm e}^{5}-4\right) x^{3}+36+\left(-11 \,{\mathrm e}^{5}+48\right) x}{\left(3+x \right) x}$&$28$\\ risch&$x \,{\mathrm e}^{5}-4 x +\frac{\left(-2 \,{\mathrm e}^{5}+12\right) x +36}{\left(3+x \right) x}$&$28$\\ gosper&$\frac{x^{3} {\mathrm e}^{5}-4 x^{3}-11 x \,{\mathrm e}^{5}+48 x +36}{x \left(3+x \right)}$&$31$\\ \hline \end{longtable}"," ",0,"x*exp(5)-4*x-2*exp(5)/(3+x)+12/x","A"
9956,1,27,29,0.056000," ","int((exp(5)*ln(2)+(-x-4)*exp(5)+2*x^3+19*x^2-40*x)/(exp(5)*ln(2)-x*exp(5)+2*x^3-5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +4 \ln \left({\mathrm e}^{5} \ln \left(2\right)-x \,{\mathrm e}^{5}+2 x^{3}-5 x^{2}\right)$&$27$\\ norman&$x +4 \ln \left({\mathrm e}^{5} \ln \left(2\right)-x \,{\mathrm e}^{5}+2 x^{3}-5 x^{2}\right)$&$27$\\ risch&$x +4 \ln \left({\mathrm e}^{5} \ln \left(2\right)-x \,{\mathrm e}^{5}+2 x^{3}-5 x^{2}\right)$&$27$\\ \hline \end{longtable}"," ",0,"x+4*ln(exp(5)*ln(2)-x*exp(5)+2*x^3-5*x^2)","A"
9957,1,26,24,0.046000," ","int(1/7*(-6*x*exp(5)*ln(x)^2+(-84*x^2-63*x)*ln(x)+14*exp(5)+42*x^2+63*x)/x/exp(5)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{6 x}{7}-\frac{{\mathrm e}^{-5} \left(6 x^{2}+2 \,{\mathrm e}^{5}+9 x \right)}{\ln \left(x \right)}$&$26$\\ norman&$\frac{-2-9 x \,{\mathrm e}^{-5}-\frac{6 x \ln \left(x \right)}{7}-6 \,{\mathrm e}^{-5} x^{2}}{\ln \left(x \right)}$&$29$\\ default&$\frac{{\mathrm e}^{-5} \left(-6 x \,{\mathrm e}^{5}-\frac{42 x^{2}}{\ln \left(x \right)}-\frac{14 \,{\mathrm e}^{5}}{\ln \left(x \right)}-\frac{63 x}{\ln \left(x \right)}\right)}{7}$&$37$\\ \hline \end{longtable}"," ",0,"-6/7*x-exp(-5)*(6*x^2+2*exp(5)+9*x)/ln(x)","A"
9958,1,36,30,0.122000," ","int(((((-3*x^2-9*x)*exp(x)+18+6*x)*ln(x)^2*ln(3+x)-3*x*ln(x)^2)*exp(exp(x))+(30*x+90)*ln(x)^2*ln(3+x)-15*x*ln(x)^2+(-6*x^2-18*x)*exp(2)*ln(x)+(-6*x^2-18*x)*exp(2)-6*x^3-18*x^2)/(x^4+3*x^3)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{15 \ln \left(3+x \right)}{x^{2}}+\frac{6 x +6 \,{\mathrm e}^{2}}{x \ln \left(x \right)}-\frac{3 \ln \left(3+x \right) {\mathrm e}^{{\mathrm e}^{x}}}{x^{2}}$&$36$\\ \hline \end{longtable}"," ",0,"-15/x^2*ln(3+x)+6/x*(x+exp(2))/ln(x)-3/x^2*ln(3+x)*exp(exp(x))","A"
9959,1,26,20,0.457000," ","int((-32*ln(3)^2+160*ln(3)+32*x)/((x*ln(3)^6-15*x*ln(3)^5+75*x*ln(3)^4-125*x*ln(3)^3)*ln(x)^3+(-9*x*ln(3)^5+(-3*x^2+90*x)*ln(3)^4+(30*x^2-225*x)*ln(3)^3-75*x^2*ln(3)^2)*ln(x)^2+(27*x*ln(3)^4+(18*x^2-135*x)*ln(3)^3+(3*x^3-90*x^2)*ln(3)^2-15*x^3*ln(3))*ln(x)-27*x*ln(3)^3-27*x^2*ln(3)^2-9*x^3*ln(3)-x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{16}{\left(\ln \left(3\right)^{2} \ln \left(x \right)-5 \ln \left(3\right) \ln \left(x \right)-3 \ln \left(3\right)-x \right)^{2}}$&$26$\\ risch&$\frac{16}{\left(\ln \left(3\right)^{2} \ln \left(x \right)-5 \ln \left(3\right) \ln \left(x \right)-3 \ln \left(3\right)-x \right)^{2}}$&$26$\\ \hline \end{longtable}"," ",0,"16/(ln(3)^2*ln(x)-5*ln(3)*ln(x)-3*ln(3)-x)^2","A"
9960,1,56,28,0.042000," ","int(((2*x*ln(x)-17*x+5)*exp(3+ln(x))+(-exp(2)*x-3*x^3-2*x^2-5*x)*ln(x)+8*exp(2)*x+26*x^3+7*x^2+35*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(4-9 \,{\mathrm e}^{3}\right) x^{2}+\left(40+9 \,{\mathrm e}^{2}+5 \,{\mathrm e}^{3}\right) x +\left(-{\mathrm e}^{2}-5\right) x \ln \left(x \right)+\left({\mathrm e}^{3}-1\right) x^{2} \ln \left(x \right)+9 x^{3}-x^{3} \ln \left(x \right)$&$56$\\ risch&$\left(x^{2} {\mathrm e}^{3}-{\mathrm e}^{2} x -x^{3}-x^{2}-5 x \right) \ln \left(x \right)-9 x^{2} {\mathrm e}^{3}+5 x \,{\mathrm e}^{3}+9 \,{\mathrm e}^{2} x +9 x^{3}+4 x^{2}+40 x$&$60$\\ default&$40 x +{\mathrm e}^{3} \ln \left(x \right) x^{2}-9 x^{2} {\mathrm e}^{3}+5 x \,{\mathrm e}^{3}-x^{3} \ln \left(x \right)+9 x^{3}-x \,{\mathrm e}^{2} \ln \left(x \right)+9 \,{\mathrm e}^{2} x -x^{2} \ln \left(x \right)+4 x^{2}-5 x \ln \left(x \right)$&$66$\\ \hline \end{longtable}"," ",0,"(4-9*exp(3))*x^2+(40+9*exp(2)+5*exp(3))*x+(-exp(2)-5)*x*ln(x)+(exp(3)-1)*x^2*ln(x)+9*x^3-x^3*ln(x)","A"
9961,0,0,21,0.053000," ","int(((10*exp(x)*x^4+40*x^3)*exp(exp(x))*ln(x^4*exp(exp(x))-exp(3)+1)-4*x^4*exp(exp(x))+4*exp(3)-4)/(5*x^4*exp(exp(x))-5*exp(3)+5),x)","\[\int \frac{\left(10 \,{\mathrm e}^{x} x^{4}+40 x^{3}\right) {\mathrm e}^{{\mathrm e}^{x}} \ln \left(x^{4} {\mathrm e}^{{\mathrm e}^{x}}-{\mathrm e}^{3}+1\right)-4 x^{4} {\mathrm e}^{{\mathrm e}^{x}}+4 \,{\mathrm e}^{3}-4}{5 x^{4} {\mathrm e}^{{\mathrm e}^{x}}-5 \,{\mathrm e}^{3}+5}\, dx\]"," ",0,"int(((10*exp(x)*x^4+40*x^3)*exp(exp(x))*ln(x^4*exp(exp(x))-exp(3)+1)-4*x^4*exp(exp(x))+4*exp(3)-4)/(5*x^4*exp(exp(x))-5*exp(3)+5),x)","F"
9962,1,28,24,0.101000," ","int(((x^2+10*x+25)*ln(x^2)^2+((-4*x^2-20*x)*exp(1/3)-x^2-10*x)*ln(x^2)+4*x^2*exp(1/3)^2+2*x^2*exp(1/3)+2*x^2+10*x)/((x^2+10*x+25)*ln(x^2)^2+(-4*x^2-20*x)*exp(1/3)*ln(x^2)+4*x^2*exp(1/3)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x^{2}}{2 x \,{\mathrm e}^{\frac{1}{3}}-x \ln \left(x^{2}\right)-5 \ln \left(x^{2}\right)}$&$28$\\ norman&$\frac{25 \ln \left(x^{2}\right)-10 x \,{\mathrm e}^{\frac{1}{3}}+\left(2 \,{\mathrm e}^{\frac{1}{3}}+1\right) x^{2}-x^{2} \ln \left(x^{2}\right)}{2 x \,{\mathrm e}^{\frac{1}{3}}-x \ln \left(x^{2}\right)-5 \ln \left(x^{2}\right)}$&$54$\\ \hline \end{longtable}"," ",0,"x+x^2/(2*x*exp(1/3)-x*ln(x^2)-5*ln(x^2))","A"
9963,1,39,25,0.040000," ","int((10*x*exp(3)+225*x^8-3200*x^7+16800*x^6-38400*x^5+32000*x^4-50*x)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$5 \left(5 x^{7}-80 x^{6}+480 x^{5}-1280 x^{4}+1280 x^{3}+{\mathrm e}^{3}-5\right) x^{2} {\mathrm e}^{-3}$&$39$\\ default&${\mathrm e}^{-3} \left(5 x^{2} {\mathrm e}^{3}+25 x^{9}-400 x^{8}+2400 x^{7}-6400 x^{6}+6400 x^{5}-25 x^{2}\right)$&$44$\\ risch&$25 \,{\mathrm e}^{-3} x^{9}-400 \,{\mathrm e}^{-3} x^{8}+2400 \,{\mathrm e}^{-3} x^{7}-6400 \,{\mathrm e}^{-3} x^{6}+6400 \,{\mathrm e}^{-3} x^{5}+5 \,{\mathrm e}^{-3} x^{2} {\mathrm e}^{3}-25 \,{\mathrm e}^{-3} x^{2}$&$53$\\ norman&$6400 \,{\mathrm e}^{-3} x^{5}-6400 \,{\mathrm e}^{-3} x^{6}+2400 \,{\mathrm e}^{-3} x^{7}-400 \,{\mathrm e}^{-3} x^{8}+25 \,{\mathrm e}^{-3} x^{9}+5 \left({\mathrm e}^{3}-5\right) {\mathrm e}^{-3} x^{2}$&$60$\\ \hline \end{longtable}"," ",0,"5*(5*x^7-80*x^6+480*x^5-1280*x^4+1280*x^3+exp(3)-5)*x^2/exp(3)","A"
9964,1,18,21,0.058000," ","int((4*x^3-12*x^2-24*x-16)*exp(x)^2/(x^5-2*x^4-20*x^3+8*x^2+128*x+128),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 \,{\mathrm e}^{2 x} x}{x^{3}-12 x -16}$&$18$\\ norman&$\frac{2 x \,{\mathrm e}^{2 x}}{\left(x -4\right) \left(2+x \right)^{2}}$&$18$\\ risch&$\frac{2 x \,{\mathrm e}^{2 x}}{\left(x -4\right) \left(2+x \right)^{2}}$&$18$\\ default&$-\frac{2 \,{\mathrm e}^{2 x}}{9 \left(2+x \right)}+\frac{2 \,{\mathrm e}^{2 x}}{9 \left(x -4\right)}+\frac{2 \,{\mathrm e}^{2 x}}{3 \left(2+x \right)^{2}}$&$35$\\ \hline \end{longtable}"," ",0,"2*exp(x)^2*x/(x^3-12*x-16)","A"
9965,1,216,27,0.072000," ","int((4*(2*x^2+2*x)*exp(5)^2*ln(2)^2+2*(4*x+2)*exp(5)^2*ln(2)+2*exp(5)^2)*exp(x)^2+(4*((8*x^2+16*x)*exp(5)^2+(-4*x^3-24*x^2-24*x)*exp(5))*ln(2)^2+2*((16*x+16)*exp(5)^2+(-10*x^2-44*x-24)*exp(5))*ln(2)+8*exp(5)^2+(-6*x-18)*exp(5))*exp(x)+4*(32*x*exp(5)^2+(-48*x^2-96*x)*exp(5)+16*x^3+72*x^2+72*x)*ln(2)^2+2*(32*exp(5)^2+(-80*x-96)*exp(5)+36*x^2+120*x+72)*ln(2)-24*exp(5)+18*x+36,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(4 \,{\mathrm e}^{10} \ln \left(2\right)^{2} x^{2}+4 x \,{\mathrm e}^{10} \ln \left(2\right)+{\mathrm e}^{10}\right) {\mathrm e}^{2 x}+\left(32 \,{\mathrm e}^{10} \ln \left(2\right)^{2} x^{2}-16 \ln \left(2\right)^{2} x^{3} {\mathrm e}^{5}-48 x^{2} {\mathrm e}^{5} \ln \left(2\right)^{2}+32 x \,{\mathrm e}^{10} \ln \left(2\right)-20 x^{2} {\mathrm e}^{5} \ln \left(2\right)-48 x \,{\mathrm e}^{5} \ln \left(2\right)+8 \,{\mathrm e}^{10}-6 x \,{\mathrm e}^{5}-12 \,{\mathrm e}^{5}\right) {\mathrm e}^{x}+16 x^{4} \ln \left(2\right)^{2}-64 \ln \left(2\right)^{2} x^{3} {\mathrm e}^{5}+96 x^{3} \ln \left(2\right)^{2}-192 x^{2} {\mathrm e}^{5} \ln \left(2\right)^{2}+64 \,{\mathrm e}^{10} \ln \left(2\right)^{2} x^{2}+144 x^{2} \ln \left(2\right)^{2}+64 x \,{\mathrm e}^{10} \ln \left(2\right)-80 x^{2} {\mathrm e}^{5} \ln \left(2\right)+24 x^{3} \ln \left(2\right)-192 x \,{\mathrm e}^{5} \ln \left(2\right)+120 x^{2} \ln \left(2\right)+144 x \ln \left(2\right)-24 x \,{\mathrm e}^{5}+9 x^{2}+36 x$&$216$\\ norman&$\left(-12 \,{\mathrm e}^{5}+8 \,{\mathrm e}^{10}\right) {\mathrm e}^{x}+\left(-64 \,{\mathrm e}^{5} \ln \left(2\right)^{2}+96 \ln \left(2\right)^{2}+24 \ln \left(2\right)\right) x^{3}+\left(36-192 \,{\mathrm e}^{5} \ln \left(2\right)+144 \ln \left(2\right)-24 \,{\mathrm e}^{5}+64 \,{\mathrm e}^{10} \ln \left(2\right)\right) x +\left(64 \,{\mathrm e}^{10} \ln \left(2\right)^{2}-192 \,{\mathrm e}^{5} \ln \left(2\right)^{2}-80 \,{\mathrm e}^{5} \ln \left(2\right)+144 \ln \left(2\right)^{2}+120 \ln \left(2\right)+9\right) x^{2}+{\mathrm e}^{10} {\mathrm e}^{2 x}+\left(-48 \,{\mathrm e}^{5} \ln \left(2\right)+32 \,{\mathrm e}^{10} \ln \left(2\right)-6 \,{\mathrm e}^{5}\right) x \,{\mathrm e}^{x}+\left(-48 \,{\mathrm e}^{5} \ln \left(2\right)^{2}-20 \,{\mathrm e}^{5} \ln \left(2\right)+32 \,{\mathrm e}^{10} \ln \left(2\right)^{2}\right) x^{2} {\mathrm e}^{x}+16 x^{4} \ln \left(2\right)^{2}-16 \,{\mathrm e}^{5} {\mathrm e}^{x} \ln \left(2\right)^{2} x^{3}+4 \,{\mathrm e}^{10} {\mathrm e}^{2 x} \ln \left(2\right) x +4 \,{\mathrm e}^{10} {\mathrm e}^{2 x} \ln \left(2\right)^{2} x^{2}$&$220$\\ default&$-6 x \,{\mathrm e}^{5} {\mathrm e}^{x}+36 x -192 x \,{\mathrm e}^{5} \ln \left(2\right)-80 x^{2} {\mathrm e}^{5} \ln \left(2\right)-24 x \,{\mathrm e}^{5}+9 x^{2}+16 x^{4} \ln \left(2\right)^{2}+96 x^{3} \ln \left(2\right)^{2}+144 x^{2} \ln \left(2\right)^{2}+144 x \ln \left(2\right)+120 x^{2} \ln \left(2\right)+24 x^{3} \ln \left(2\right)-12 \,{\mathrm e}^{5} {\mathrm e}^{x}-192 x^{2} {\mathrm e}^{5} \ln \left(2\right)^{2}+32 \,{\mathrm e}^{10} {\mathrm e}^{x} \ln \left(2\right)^{2} x^{2}+32 \,{\mathrm e}^{10} {\mathrm e}^{x} \ln \left(2\right) x +4 \,{\mathrm e}^{10} {\mathrm e}^{2 x} \ln \left(2\right) x +4 \,{\mathrm e}^{10} {\mathrm e}^{2 x} \ln \left(2\right)^{2} x^{2}-16 \,{\mathrm e}^{5} {\mathrm e}^{x} \ln \left(2\right)^{2} x^{3}-48 \,{\mathrm e}^{5} {\mathrm e}^{x} \ln \left(2\right)^{2} x^{2}-20 \,{\mathrm e}^{5} {\mathrm e}^{x} \ln \left(2\right) x^{2}-48 \,{\mathrm e}^{5} {\mathrm e}^{x} \ln \left(2\right) x -64 \ln \left(2\right)^{2} x^{3} {\mathrm e}^{5}+64 \,{\mathrm e}^{10} \ln \left(2\right)^{2} x^{2}+64 x \,{\mathrm e}^{10} \ln \left(2\right)+{\mathrm e}^{10} {\mathrm e}^{2 x}+8 \,{\mathrm e}^{10} {\mathrm e}^{x}$&$253$\\ \hline \end{longtable}"," ",0,"(4*exp(10)*ln(2)^2*x^2+4*x*exp(10)*ln(2)+exp(10))*exp(2*x)+(32*exp(10)*ln(2)^2*x^2-16*ln(2)^2*x^3*exp(5)-48*x^2*exp(5)*ln(2)^2+32*x*exp(10)*ln(2)-20*x^2*exp(5)*ln(2)-48*x*exp(5)*ln(2)+8*exp(10)-6*x*exp(5)-12*exp(5))*exp(x)+16*x^4*ln(2)^2-64*ln(2)^2*x^3*exp(5)+96*x^3*ln(2)^2-192*x^2*exp(5)*ln(2)^2+64*exp(10)*ln(2)^2*x^2+144*x^2*ln(2)^2+64*x*exp(10)*ln(2)-80*x^2*exp(5)*ln(2)+24*x^3*ln(2)-192*x*exp(5)*ln(2)+120*x^2*ln(2)+144*x*ln(2)-24*x*exp(5)+9*x^2+36*x","B"
9966,1,19,22,0.038000," ","int(((-4*exp(x^2+x)+4*exp(1/2*x)^2)*ln(-exp(x^2+x)+exp(1/2*x)^2)^4+((8*x^2+4*x)*exp(x^2+x)-4*x*exp(1/2*x)^2)*ln(-exp(x^2+x)+exp(1/2*x)^2)^3)/(x^5*exp(x^2+x)-x^5*exp(1/2*x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(-{\mathrm e}^{\left(x +1\right) x}+{\mathrm e}^{x}\right)^{4}}{x^{4}}$&$19$\\ \hline \end{longtable}"," ",0,"ln(-exp((x+1)*x)+exp(x))^4/x^4","A"
9967,1,36,30,0.079000," ","int(((-16*x^2-80*x-100)*exp(x)^2+(8*x^2+116*x+220)*exp(x)-120)/((4*x^4+12*x^3-11*x^2-30*x+25)*exp(x)^2+(-20*x^3-6*x^2+86*x-60)*exp(x)+25*x^2-60*x+36),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{20 \,{\mathrm e}^{x}+8 \,{\mathrm e}^{x} x -24}{2 \,{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x} x -5 \,{\mathrm e}^{x}-5 x +6}$&$36$\\ risch&$\frac{4}{x -1}-\frac{4 x}{\left(x -1\right) \left(2 \,{\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{x} x -5 \,{\mathrm e}^{x}-5 x +6\right)}$&$40$\\ \hline \end{longtable}"," ",0,"(20*exp(x)+8*exp(x)*x-24)/(2*exp(x)*x^2+3*exp(x)*x-5*exp(x)-5*x+6)","A"
9968,1,56,25,0.053000," ","int(1/25*(4*x^6+6*x^5)*exp(x)^4+1/25*((-4*x^4-8*x^3)*ln(2)-8*x^5-20*x^4)*exp(x)^2+2/25*x*ln(2)^2+12/25*x^2*ln(2)+16/25*x^3+2/5*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{6} {\mathrm e}^{4 x}}{25}+\frac{\left(-2 x^{4} \ln \left(2\right)-4 x^{5}\right) {\mathrm e}^{2 x}}{25}+\frac{x^{2} \ln \left(2\right)^{2}}{25}+\frac{4 x^{3} \ln \left(2\right)}{25}+\frac{4 x^{4}}{25}+\frac{x^{2}}{5}$&$56$\\ default&$\frac{x^{2}}{5}+\frac{4 x^{4}}{25}+\frac{x^{2} \ln \left(2\right)^{2}}{25}+\frac{4 x^{3} \ln \left(2\right)}{25}-\frac{4 x^{5} {\mathrm e}^{2 x}}{25}-\frac{2 \,{\mathrm e}^{2 x} \ln \left(2\right) x^{4}}{25}+\frac{x^{6} {\mathrm e}^{4 x}}{25}$&$57$\\ \hline \end{longtable}"," ",0,"1/25*x^6*exp(4*x)+1/25*(-2*x^4*ln(2)-4*x^5)*exp(2*x)+1/25*x^2*ln(2)^2+4/25*x^3*ln(2)+4/25*x^4+1/5*x^2","B"
9969,1,18,14,0.053000," ","int(1/2*(2*x*exp(x)*ln(x)+(-x^2+6*x+2)*exp(x))/x/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right) {\mathrm e}^{x -3}-\frac{\left(x -7\right) {\mathrm e}^{x -3}}{2}$&$18$\\ norman&${\mathrm e}^{x} {\mathrm e}^{-3} \ln \left(x \right)+\frac{7 \,{\mathrm e}^{x} {\mathrm e}^{-3}}{2}-\frac{{\mathrm e}^{-3} {\mathrm e}^{x} x}{2}$&$28$\\ \hline \end{longtable}"," ",0,"ln(x)*exp(x-3)-1/2*(x-7)*exp(x-3)","A"
9970,1,28,22,0.163000," ","int(((-150*x^5+6125*x^4-8*x+196)*ln(5)-125*x^6+4900*x^5-4*x^2)/(ln(5)^2+2*x*ln(5)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-25 x^{6}+1225 x^{5}-4 x^{2}-196 \ln \left(5\right)}{\ln \left(5\right)+x}$&$28$\\ gosper&$-\frac{25 x^{6}-1225 x^{5}+4 x^{2}+196 \ln \left(5\right)}{\ln \left(5\right)+x}$&$29$\\ default&$-25 x \ln \left(5\right)^{4}+25 x^{2} \ln \left(5\right)^{3}-25 x^{3} \ln \left(5\right)^{2}+25 x^{4} \ln \left(5\right)-25 x^{5}-1225 \ln \left(5\right)^{3} x +1225 x^{2} \ln \left(5\right)^{2}-1225 x^{3} \ln \left(5\right)+1225 x^{4}-4 x -\frac{\ln \left(5\right) \left(25 \ln \left(5\right)^{5}+1225 \ln \left(5\right)^{4}+4 \ln \left(5\right)+196\right)}{\ln \left(5\right)+x}$&$98$\\ risch&$-25 x \ln \left(5\right)^{4}+25 x^{2} \ln \left(5\right)^{3}-25 x^{3} \ln \left(5\right)^{2}+25 x^{4} \ln \left(5\right)-25 x^{5}-1225 \ln \left(5\right)^{3} x +1225 x^{2} \ln \left(5\right)^{2}-1225 x^{3} \ln \left(5\right)+1225 x^{4}-4 x -\frac{25 \ln \left(5\right)^{6}}{\ln \left(5\right)+x}-\frac{1225 \ln \left(5\right)^{5}}{\ln \left(5\right)+x}-\frac{4 \ln \left(5\right)^{2}}{\ln \left(5\right)+x}-\frac{196 \ln \left(5\right)}{\ln \left(5\right)+x}$&$116$\\ meijerg&$\left(-150 \ln \left(5\right)+4900\right) \ln \left(5\right)^{4} \left(-\frac{x \left(-\frac{3 x^{4}}{\ln \left(5\right)^{4}}+\frac{5 x^{3}}{\ln \left(5\right)^{3}}-\frac{10 x^{2}}{\ln \left(5\right)^{2}}+\frac{30 x}{\ln \left(5\right)}+60\right)}{12 \ln \left(5\right) \left(1+\frac{x}{\ln \left(5\right)}\right)}+5 \ln \left(1+\frac{x}{\ln \left(5\right)}\right)\right)+6125 \ln \left(5\right)^{4} \left(\frac{x \left(\frac{5 x^{3}}{\ln \left(5\right)^{3}}-\frac{10 x^{2}}{\ln \left(5\right)^{2}}+\frac{30 x}{\ln \left(5\right)}+60\right)}{15 \ln \left(5\right) \left(1+\frac{x}{\ln \left(5\right)}\right)}-4 \ln \left(1+\frac{x}{\ln \left(5\right)}\right)\right)-8 \ln \left(5\right) \left(-\frac{x}{\ln \left(5\right) \left(1+\frac{x}{\ln \left(5\right)}\right)}+\ln \left(1+\frac{x}{\ln \left(5\right)}\right)\right)-125 \ln \left(5\right)^{5} \left(\frac{x \left(\frac{14 x^{5}}{\ln \left(5\right)^{5}}-\frac{21 x^{4}}{\ln \left(5\right)^{4}}+\frac{35 x^{3}}{\ln \left(5\right)^{3}}-\frac{70 x^{2}}{\ln \left(5\right)^{2}}+\frac{210 x}{\ln \left(5\right)}+420\right)}{70 \ln \left(5\right) \left(1+\frac{x}{\ln \left(5\right)}\right)}-6 \ln \left(1+\frac{x}{\ln \left(5\right)}\right)\right)-4 \ln \left(5\right) \left(\frac{x \left(\frac{3 x}{\ln \left(5\right)}+6\right)}{3 \ln \left(5\right) \left(1+\frac{x}{\ln \left(5\right)}\right)}-2 \ln \left(1+\frac{x}{\ln \left(5\right)}\right)\right)+\frac{196 x}{\ln \left(5\right) \left(1+\frac{x}{\ln \left(5\right)}\right)}$&$310$\\ \hline \end{longtable}"," ",0,"(-25*x^6+1225*x^5-4*x^2-196*ln(5))/(ln(5)+x)","A"
9971,1,19,17,0.018000," ","int(2*x*exp(x^2+1/3)+3*x^2+44*x+131,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{3}+22 x^{2}+131 x +{\mathrm e}^{x^{2}+\frac{1}{3}}$&$19$\\ norman&$x^{3}+22 x^{2}+131 x +{\mathrm e}^{x^{2}+\frac{1}{3}}$&$19$\\ risch&$x^{3}+22 x^{2}+131 x +{\mathrm e}^{x^{2}+\frac{1}{3}}$&$19$\\ \hline \end{longtable}"," ",0,"x^3+22*x^2+131*x+exp(x^2+1/3)","A"
9972,1,23,27,0.078000," ","int(((6*x^3-6*x^2-3*x-3)*exp(x)^2+30*x^2-15*x+15)/(x^5+x^4-2*x^3-2*x^2+x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-15 x +3 x \,{\mathrm e}^{2 x}}{\left(x -1\right) \left(x +1\right)^{2}}$&$23$\\ risch&$-\frac{15 x}{x^{3}+x^{2}-x -1}+\frac{3 x \,{\mathrm e}^{2 x}}{\left(x -1\right) \left(x +1\right)^{2}}$&$35$\\ default&$-\frac{15}{2 \left(x +1\right)^{2}}+\frac{15}{4 \left(x +1\right)}-\frac{15}{4 \left(x -1\right)}-\frac{3 \,{\mathrm e}^{2 x}}{4 \left(x +1\right)}+\frac{3 \,{\mathrm e}^{2 x}}{4 \left(x -1\right)}+\frac{3 \,{\mathrm e}^{2 x}}{2 \left(x +1\right)^{2}}$&$56$\\ \hline \end{longtable}"," ",0,"(-15*x+3*x*exp(x)^2)/(x-1)/(x+1)^2","A"
9973,1,22,19,0.159000," ","int(((336*x^3-152*x^2-16*x)*exp(21*x)+8)/(4*x^2-4*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-8 x +8 x^{2} {\mathrm e}^{21 x}}{2 x -1}$&$22$\\ risch&$-\frac{2}{x -\frac{1}{2}}+\frac{8 x^{2} {\mathrm e}^{21 x}}{2 x -1}$&$25$\\ derivativedivides&$-\frac{84}{42 x -21}+\frac{21 \,{\mathrm e}^{21 x}}{21 x -\frac{21}{2}}+2 \,{\mathrm e}^{21 x}+4 \,{\mathrm e}^{21 x} x$&$37$\\ default&$-\frac{84}{42 x -21}+\frac{21 \,{\mathrm e}^{21 x}}{21 x -\frac{21}{2}}+2 \,{\mathrm e}^{21 x}+4 \,{\mathrm e}^{21 x} x$&$37$\\ \hline \end{longtable}"," ",0,"(-8*x+8*x^2*exp(21*x))/(2*x-1)","A"
9974,1,17,17,0.021000," ","int((9*x^2-10*x-17)/(3*x^3-5*x^2-17*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(3 x^{3}-5 x^{2}-17 x +9\right)$&$17$\\ default&$\ln \left(3 x^{3}-5 x^{2}-17 x +9\right)$&$17$\\ norman&$\ln \left(3 x^{3}-5 x^{2}-17 x +9\right)$&$17$\\ risch&$\ln \left(3 x^{3}-5 x^{2}-17 x +9\right)$&$17$\\ \hline \end{longtable}"," ",0,"ln(3*x^3-5*x^2-17*x+9)","A"
9975,1,10,15,0.011000," ","int((2+exp(4))*exp(exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\left(2+{\mathrm e}^{4}\right) x \,{\mathrm e}^{{\mathrm e}}$&$10$\\ norman&$\left(2 \,{\mathrm e}^{{\mathrm e}}+{\mathrm e}^{{\mathrm e}} {\mathrm e}^{4}\right) x$&$15$\\ risch&$x \,{\mathrm e}^{{\mathrm e}} {\mathrm e}^{4}+2 x \,{\mathrm e}^{{\mathrm e}}$&$15$\\ \hline \end{longtable}"," ",0,"(2+exp(4))*x*exp(exp(1))","A"
9976,1,19,20,0.063000," ","int((exp(x)^2+8*exp(3)^2-x^2+2*x-24)/(exp(x)^2-8*exp(3)^2+x^2+24),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\ln \left({\mathrm e}^{2 x}-8 \,{\mathrm e}^{6}+x^{2}+24\right)$&$19$\\ norman&$-x +\ln \left(8 \,{\mathrm e}^{6}-x^{2}-{\mathrm e}^{2 x}-24\right)$&$25$\\ \hline \end{longtable}"," ",0,"-x+ln(exp(2*x)-8*exp(6)+x^2+24)","A"
9977,1,14,18,0.015000," ","int((-6*ln(x)+6*x^3+6)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x^{2}+\frac{6 \ln \left(x \right)}{x}$&$14$\\ risch&$3 x^{2}+\frac{6 \ln \left(x \right)}{x}$&$14$\\ norman&$\frac{3 x^{3}+6 \ln \left(x \right)}{x}$&$15$\\ \hline \end{longtable}"," ",0,"3*x^2+6*ln(x)/x","A"
9978,1,19,19,0.044000," ","int((exp(x)^2*x^4+(10*x^3+22*x^2+40*x)*exp(x)+16*x^2+80)/(exp(x)^2*x^4+8*exp(x)*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{2 \left(x +10\right)}{x \left({\mathrm e}^{x} x +4\right)}$&$19$\\ norman&$\frac{-20-2 x +{\mathrm e}^{x} x^{3}+4 x^{2}}{x \left({\mathrm e}^{x} x +4\right)}$&$29$\\ \hline \end{longtable}"," ",0,"x-2*(x+10)/x/(exp(x)*x+4)","A"
9979,1,23,29,0.063000," ","int(((-2*x^2-4*x-1)*exp(1)+6*x^3+19*x^2+20*x+5)/((x^2+x)*exp(1)-3*x^3-8*x^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 x -\ln \left(x \right)-\ln \left(x +1\right)+\ln \left(-3 x +{\mathrm e}-5\right)$&$23$\\ risch&$-2 x +\ln \left(3 x -{\mathrm e}+5\right)-\ln \left(x^{2}+x \right)$&$23$\\ default&$-2 x -\ln \left(x \right)+\ln \left(3 x -{\mathrm e}+5\right)-\ln \left(x +1\right)$&$25$\\ \hline \end{longtable}"," ",0,"-2*x-ln(x)-ln(x+1)+ln(-3*x+exp(1)-5)","A"
9980,1,1127,21,0.905000," ","int((-4*x*ln(x)+(x+exp(2))*ln(3/(exp(2)^2+2*exp(2)*x+x^2)))/(exp(2)*x+x^2)/ln(3/(exp(2)^2+2*exp(2)*x+x^2))/ln(x)/ln(1/5*ln(3/(exp(2)^2+2*exp(2)*x+x^2))^2*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(-4 i \ln \left(x +{\mathrm e}^{2}\right)+2 i \ln \left(3\right)-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{2}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \left(-4 i \ln \left(x +{\mathrm e}^{2}\right)+2 i \ln \left(3\right)-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{2}\right)^{2}\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(-4 i \ln \left(x +{\mathrm e}^{2}\right)+2 i \ln \left(3\right)-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{2}\right)^{2}\right)-\pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(-4 i \ln \left(x +{\mathrm e}^{2}\right)+2 i \ln \left(3\right)-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}+2 \pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(-4 i \ln \left(x +{\mathrm e}^{2}\right)+2 i \ln \left(3\right)-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(-4 i \ln \left(x +{\mathrm e}^{2}\right)+2 i \ln \left(3\right)-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(-4 i \ln \left(x +{\mathrm e}^{2}\right)+2 i \ln \left(3\right)-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{2}\right)^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i \left(-4 i \ln \left(x +{\mathrm e}^{2}\right)+2 i \ln \left(3\right)-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{2}\right)\right) \mathrm{csgn}\left(i \left(-4 i \ln \left(x +{\mathrm e}^{2}\right)+2 i \ln \left(3\right)-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}+\pi  \mathrm{csgn}\left(i \left(-4 i \ln \left(x +{\mathrm e}^{2}\right)+2 i \ln \left(3\right)-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{3}-\pi  \,\mathrm{csgn}\left(i \left(-4 i \ln \left(x +{\mathrm e}^{2}\right)+2 i \ln \left(3\right)-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{2}\right)^{2}\right) \mathrm{csgn}\left(i \ln \left(x \right) \left(-4 i \ln \left(x +{\mathrm e}^{2}\right)+2 i \ln \left(3\right)-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}-\pi  \mathrm{csgn}\left(i \ln \left(x \right) \left(-4 i \ln \left(x +{\mathrm e}^{2}\right)+2 i \ln \left(3\right)-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right)^{2} \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)\right) \mathrm{csgn}\left(i \left(x +{\mathrm e}^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{3}-4 i \ln \left(2\right)-2 i \ln \left(5\right)+2 i \ln \left(\ln \left(x \right)\right)-2 \pi \right)}{4}\right)$&$1127$\\ \hline \end{longtable}"," ",0,"ln(ln(-4*I*ln(x+exp(2))+2*I*ln(3)-Pi*csgn(I*(x+exp(2))^2)^3-Pi*csgn(I*(x+exp(2)))^2*csgn(I*(x+exp(2))^2)+2*Pi*csgn(I*(x+exp(2)))*csgn(I*(x+exp(2))^2)^2)-1/4*I*(Pi*csgn(I*ln(x))*csgn(I*(-4*I*ln(x+exp(2))+2*I*ln(3)-Pi*csgn(I*(x+exp(2))^2)^3-Pi*csgn(I*(x+exp(2)))^2*csgn(I*(x+exp(2))^2)+2*Pi*csgn(I*(x+exp(2)))*csgn(I*(x+exp(2))^2)^2)^2)*csgn(I*ln(x)*(-4*I*ln(x+exp(2))+2*I*ln(3)-Pi*csgn(I*(x+exp(2))^2)^3-Pi*csgn(I*(x+exp(2)))^2*csgn(I*(x+exp(2))^2)+2*Pi*csgn(I*(x+exp(2)))*csgn(I*(x+exp(2))^2)^2)^2)-Pi*csgn(I*ln(x))*csgn(I*ln(x)*(-4*I*ln(x+exp(2))+2*I*ln(3)-Pi*csgn(I*(x+exp(2))^2)^3-Pi*csgn(I*(x+exp(2)))^2*csgn(I*(x+exp(2))^2)+2*Pi*csgn(I*(x+exp(2)))*csgn(I*(x+exp(2))^2)^2)^2)^2+2*Pi*csgn(I*ln(x)*(-4*I*ln(x+exp(2))+2*I*ln(3)-Pi*csgn(I*(x+exp(2))^2)^3-Pi*csgn(I*(x+exp(2)))^2*csgn(I*(x+exp(2))^2)+2*Pi*csgn(I*(x+exp(2)))*csgn(I*(x+exp(2))^2)^2)^2)^2+Pi*csgn(I*(-4*I*ln(x+exp(2))+2*I*ln(3)-Pi*csgn(I*(x+exp(2))^2)^3-Pi*csgn(I*(x+exp(2)))^2*csgn(I*(x+exp(2))^2)+2*Pi*csgn(I*(x+exp(2)))*csgn(I*(x+exp(2))^2)^2))^2*csgn(I*(-4*I*ln(x+exp(2))+2*I*ln(3)-Pi*csgn(I*(x+exp(2))^2)^3-Pi*csgn(I*(x+exp(2)))^2*csgn(I*(x+exp(2))^2)+2*Pi*csgn(I*(x+exp(2)))*csgn(I*(x+exp(2))^2)^2)^2)-2*Pi*csgn(I*(-4*I*ln(x+exp(2))+2*I*ln(3)-Pi*csgn(I*(x+exp(2))^2)^3-Pi*csgn(I*(x+exp(2)))^2*csgn(I*(x+exp(2))^2)+2*Pi*csgn(I*(x+exp(2)))*csgn(I*(x+exp(2))^2)^2))*csgn(I*(-4*I*ln(x+exp(2))+2*I*ln(3)-Pi*csgn(I*(x+exp(2))^2)^3-Pi*csgn(I*(x+exp(2)))^2*csgn(I*(x+exp(2))^2)+2*Pi*csgn(I*(x+exp(2)))*csgn(I*(x+exp(2))^2)^2)^2)^2+Pi*csgn(I*(-4*I*ln(x+exp(2))+2*I*ln(3)-Pi*csgn(I*(x+exp(2))^2)^3-Pi*csgn(I*(x+exp(2)))^2*csgn(I*(x+exp(2))^2)+2*Pi*csgn(I*(x+exp(2)))*csgn(I*(x+exp(2))^2)^2)^2)^3-Pi*csgn(I*(-4*I*ln(x+exp(2))+2*I*ln(3)-Pi*csgn(I*(x+exp(2))^2)^3-Pi*csgn(I*(x+exp(2)))^2*csgn(I*(x+exp(2))^2)+2*Pi*csgn(I*(x+exp(2)))*csgn(I*(x+exp(2))^2)^2)^2)*csgn(I*ln(x)*(-4*I*ln(x+exp(2))+2*I*ln(3)-Pi*csgn(I*(x+exp(2))^2)^3-Pi*csgn(I*(x+exp(2)))^2*csgn(I*(x+exp(2))^2)+2*Pi*csgn(I*(x+exp(2)))*csgn(I*(x+exp(2))^2)^2)^2)^2-Pi*csgn(I*ln(x)*(-4*I*ln(x+exp(2))+2*I*ln(3)-Pi*csgn(I*(x+exp(2))^2)^3-Pi*csgn(I*(x+exp(2)))^2*csgn(I*(x+exp(2))^2)+2*Pi*csgn(I*(x+exp(2)))*csgn(I*(x+exp(2))^2)^2)^2)^3-4*I*ln(2)-2*I*ln(5)+2*I*ln(ln(x))-2*Pi))","C"
9981,1,51,31,0.179000," ","int(((2*(-25*x^2-49*x+1)*ln(2)+25*x^3+274*x^2+490*x-10)*exp(x)+4*(250*x-4)*ln(2)^2+2*(-500*x^2-4992*x+80)*ln(2)+250*x^3+4996*x^2+24920*x-400)/(4*ln(2)^2+2*(-2*x-20)*ln(2)+x^2+20*x+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(250 \ln \left(2\right)-1246\right) x^{2}+{\mathrm e}^{x} x -125 x^{3}-25 \,{\mathrm e}^{x} x^{2}-16 \ln \left(2\right)^{2}+160 \ln \left(2\right)-400}{2 \ln \left(2\right)-x -10}$&$51$\\ default&$-4 x +125 x^{2}+\frac{2510 \,{\mathrm e}^{x}}{10+x -2 \ln \left(2\right)}-\frac{1002 \ln \left(2\right) {\mathrm e}^{x}}{10+x -2 \ln \left(2\right)}-251 \,{\mathrm e}^{x}+\frac{100 \,{\mathrm e}^{x} \ln \left(2\right)^{2}}{10+x -2 \ln \left(2\right)}+25 \,{\mathrm e}^{x} x +50 \,{\mathrm e}^{x} \ln \left(2\right)$&$70$\\ \hline \end{longtable}"," ",0,"((250*ln(2)-1246)*x^2+exp(x)*x-125*x^3-25*exp(x)*x^2-16*ln(2)^2+160*ln(2)-400)/(2*ln(2)-x-10)","A"
9982,1,6974,35,1.221000," ","int((((18*x*ln(3)^2+(-36*x^2-180*x)*ln(3)+18*x^3+180*x^2+450*x)*exp(x)+(18*x*ln(3)^2+(-36*x^2-180*x)*ln(3)+18*x^3+180*x^2+450*x)*ln(5)-36*x*ln(3)^2+(72*x^2+432*x)*ln(3)-36*x^3-432*x^2-1260*x)*ln(((ln(3)^2+(-2*x-10)*ln(3)+x^2+10*x+25)*exp(x)^2+((2*ln(3)^2+(-4*x-20)*ln(3)+2*x^2+20*x+50)*ln(5)-4*ln(3)^2+(8*x+48)*ln(3)-4*x^2-48*x-140)*exp(x)+(ln(3)^2+(-2*x-10)*ln(3)+x^2+10*x+25)*ln(5)^2+(-4*ln(3)^2+(8*x+48)*ln(3)-4*x^2-48*x-140)*ln(5)+4*ln(3)^2+(-8*x-56)*ln(3)+4*x^2+56*x+196)/(ln(3)^2+(-2*x-10)*ln(3)+x^2+10*x+25))^2+(((36*x^2-180*x)*ln(3)^2+(-72*x^3+1800*x)*ln(3)+36*x^4+180*x^3-900*x^2-4500*x)*exp(x)+(-180*x*ln(3)^2+(360*x^2+1800*x)*ln(3)-180*x^3-1800*x^2-4500*x)*ln(5)+360*x*ln(3)^2+(-720*x^2-4320*x)*ln(3)+360*x^3+4464*x^2+12600*x)*ln(((ln(3)^2+(-2*x-10)*ln(3)+x^2+10*x+25)*exp(x)^2+((2*ln(3)^2+(-4*x-20)*ln(3)+2*x^2+20*x+50)*ln(5)-4*ln(3)^2+(8*x+48)*ln(3)-4*x^2-48*x-140)*exp(x)+(ln(3)^2+(-2*x-10)*ln(3)+x^2+10*x+25)*ln(5)^2+(-4*ln(3)^2+(8*x+48)*ln(3)-4*x^2-48*x-140)*ln(5)+4*ln(3)^2+(-8*x-56)*ln(3)+4*x^2+56*x+196)/(ln(3)^2+(-2*x-10)*ln(3)+x^2+10*x+25))+((-180*x^2+450*x)*ln(3)^2+(360*x^3+900*x^2-4500*x)*ln(3)-180*x^4-1350*x^3+11250*x)*exp(x)+(450*x*ln(3)^2+(-900*x^2-4500*x)*ln(3)+450*x^3+4500*x^2+11250*x)*ln(5)-900*x*ln(3)^2+(1800*x^2+10800*x)*ln(3)-900*x^3-11520*x^2-31500*x)/((ln(3)^2+(-2*x-10)*ln(3)+x^2+10*x+25)*exp(x)+(ln(3)^2+(-2*x-10)*ln(3)+x^2+10*x+25)*ln(5)-2*ln(3)^2+(4*x+24)*ln(3)-2*x^2-24*x-70),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$6974$\\ \hline \end{longtable}"," ",0,"result too large to display","C"
9983,1,17,22,0.032000," ","int((-x*ln(x)+x^2+4*x-1)/((3*x*ln(x)-3*x^2-9*x)*ln(-1/5*ln(x)+3/5+1/5*x)^2+(6*x^2*ln(x)-6*x^3-18*x^2)*ln(-1/5*ln(x)+3/5+1/5*x)+3*x^3*ln(x)-3*x^4-9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{3 \ln \left(-\frac{\ln \left(x \right)}{5}+\frac{3}{5}+\frac{x}{5}\right)+3 x}$&$17$\\ \hline \end{longtable}"," ",0,"1/3/(ln(-1/5*ln(x)+3/5+1/5*x)+x)","A"
9984,1,91,17,0.040000," ","int(2*x*exp(3)^2*ln(x)^2+((-6*x^2-6*x)*exp(3)^2+(4*x+18)*exp(3))*ln(x)+(4*x^3+10*x^2+4*x)*exp(3)^2+(-6*x^2-42*x-18)*exp(3)+2*x+18,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{6} \ln \left(x \right)^{2}-2 \,{\mathrm e}^{6} x^{3} \ln \left(x \right)+x^{4} {\mathrm e}^{6}-4 \ln \left(x \right) {\mathrm e}^{6} x^{2}+4 x^{3} {\mathrm e}^{6}+2 \,{\mathrm e}^{3} \ln \left(x \right) x^{2}+4 x^{2} {\mathrm e}^{6}-2 x^{3} {\mathrm e}^{3}+18 x \,{\mathrm e}^{3} \ln \left(x \right)-22 x^{2} {\mathrm e}^{3}-36 x \,{\mathrm e}^{3}+x^{2}+18 x$&$91$\\ norman&$x^{4} {\mathrm e}^{6}+\left(4 \,{\mathrm e}^{6}-2 \,{\mathrm e}^{3}\right) x^{3}+\left(-36 \,{\mathrm e}^{3}+18\right) x +\left(4 \,{\mathrm e}^{6}-22 \,{\mathrm e}^{3}+1\right) x^{2}+x^{2} {\mathrm e}^{6} \ln \left(x \right)^{2}+\left(-4 \,{\mathrm e}^{6}+2 \,{\mathrm e}^{3}\right) x^{2} \ln \left(x \right)+18 x \,{\mathrm e}^{3} \ln \left(x \right)-2 \,{\mathrm e}^{6} x^{3} \ln \left(x \right)$&$96$\\ default&$18 x -2 \,{\mathrm e}^{6} x^{3} \ln \left(x \right)+\frac{2 x^{3} {\mathrm e}^{6}}{3}-4 \ln \left(x \right) {\mathrm e}^{6} x^{2}+2 x^{2} {\mathrm e}^{6}+2 \,{\mathrm e}^{3} \ln \left(x \right) x^{2}-x^{2} {\mathrm e}^{3}+18 x \,{\mathrm e}^{3} \ln \left(x \right)-18 x \,{\mathrm e}^{3}+{\mathrm e}^{3} \left(-2 x^{3}-21 x^{2}-18 x \right)+{\mathrm e}^{6} \left(x^{4}+\frac{10}{3} x^{3}+2 x^{2}\right)+x^{2}+x^{2} {\mathrm e}^{6} \ln \left(x \right)^{2}$&$124$\\ \hline \end{longtable}"," ",0,"x^2*exp(6)*ln(x)^2-2*exp(6)*x^3*ln(x)+x^4*exp(6)-4*ln(x)*exp(6)*x^2+4*x^3*exp(6)+2*exp(3)*ln(x)*x^2+4*x^2*exp(6)-2*x^3*exp(3)+18*x*exp(3)*ln(x)-22*x^2*exp(3)-36*x*exp(3)+x^2+18*x","B"
9985,1,19,17,0.021000," ","int((784*x^2+98)*exp(4*x^2)-196*x+98,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$98 x -98 x^{2}+98 x \,{\mathrm e}^{4 x^{2}}$&$19$\\ norman&$98 x -98 x^{2}+98 x \,{\mathrm e}^{4 x^{2}}$&$19$\\ risch&$98 x -98 x^{2}+98 x \,{\mathrm e}^{4 x^{2}}$&$19$\\ \hline \end{longtable}"," ",0,"98*x+98*x*exp(x^2)^4-98*x^2","A"
9986,1,29,24,0.289000," ","int(-2*exp(2*x/(4*(25+5*x)*ln(2)^2+2*(-10*x-50)*exp(5)*ln(2)+(25+5*x)*exp(5)^2))/(4*(x^2+10*x+25)*ln(2)^2+2*(-2*x^2-20*x-50)*exp(5)*ln(2)+(x^2+10*x+25)*exp(5)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-{\mathrm e}^{\frac{2 x}{5 \left(5+x \right) \left(-4 \,{\mathrm e}^{5} \ln \left(2\right)+4 \ln \left(2\right)^{2}+{\mathrm e}^{10}\right)}}$&$29$\\ gosper&$-{\mathrm e}^{\frac{2 x}{5 \left(x \,{\mathrm e}^{10}-4 x \,{\mathrm e}^{5} \ln \left(2\right)+4 x \ln \left(2\right)^{2}+5 \,{\mathrm e}^{10}-20 \,{\mathrm e}^{5} \ln \left(2\right)+20 \ln \left(2\right)^{2}\right)}}$&$48$\\ derivativedivides&$\frac{25 \left(4 \,{\mathrm e}^{5} \ln \left(2\right)-4 \ln \left(2\right)^{2}-{\mathrm e}^{10}\right) \left(\frac{{\mathrm e}^{10}}{25}-\frac{4 \,{\mathrm e}^{5} \ln \left(2\right)}{25}+\frac{4 \ln \left(2\right)^{2}}{25}\right) {\mathrm e}^{-\frac{2}{\left(-4 \,{\mathrm e}^{5} \ln \left(2\right)+4 \ln \left(2\right)^{2}+{\mathrm e}^{10}\right) \left(5+x \right)}+\frac{2}{5 \left(-4 \,{\mathrm e}^{5} \ln \left(2\right)+4 \ln \left(2\right)^{2}+{\mathrm e}^{10}\right)}}}{\left(-4 \,{\mathrm e}^{5} \ln \left(2\right)+4 \ln \left(2\right)^{2}+{\mathrm e}^{10}\right)^{2}}$&$109$\\ default&$\frac{25 \left(4 \,{\mathrm e}^{5} \ln \left(2\right)-4 \ln \left(2\right)^{2}-{\mathrm e}^{10}\right) \left(\frac{{\mathrm e}^{10}}{25}-\frac{4 \,{\mathrm e}^{5} \ln \left(2\right)}{25}+\frac{4 \ln \left(2\right)^{2}}{25}\right) {\mathrm e}^{-\frac{2}{\left(-4 \,{\mathrm e}^{5} \ln \left(2\right)+4 \ln \left(2\right)^{2}+{\mathrm e}^{10}\right) \left(5+x \right)}+\frac{2}{5 \left(-4 \,{\mathrm e}^{5} \ln \left(2\right)+4 \ln \left(2\right)^{2}+{\mathrm e}^{10}\right)}}}{\left(-4 \,{\mathrm e}^{5} \ln \left(2\right)+4 \ln \left(2\right)^{2}+{\mathrm e}^{10}\right)^{2}}$&$109$\\ norman&$\frac{\left(-5 \,{\mathrm e}^{5}+10 \ln \left(2\right)\right) {\mathrm e}^{\frac{2 x}{4 \left(25+5 x \right) \ln \left(2\right)^{2}+2 \left(-10 x -50\right) {\mathrm e}^{5} \ln \left(2\right)+\left(25+5 x \right) {\mathrm e}^{10}}}+\left(-{\mathrm e}^{5}+2 \ln \left(2\right)\right) x \,{\mathrm e}^{\frac{2 x}{4 \left(25+5 x \right) \ln \left(2\right)^{2}+2 \left(-10 x -50\right) {\mathrm e}^{5} \ln \left(2\right)+\left(25+5 x \right) {\mathrm e}^{10}}}}{\left(5+x \right) \left({\mathrm e}^{5}-2 \ln \left(2\right)\right)}$&$116$\\ \hline \end{longtable}"," ",0,"-exp(2/5*x/(5+x)/(-4*exp(5)*ln(2)+4*ln(2)^2+exp(10)))","A"
9987,1,28,26,0.070000," ","int(1/2*((-x^2-3*x-2)*ln(x+1)^2+(x^2+x)*ln(x+1)-2*x^5-8*x^4)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2}+2 x +1\right) \ln \left(x +1\right)^{2}}{4 x^{4}}-x -4 \ln \left(x \right)$&$28$\\ norman&$\frac{-x^{5}+\frac{\ln \left(x +1\right)^{2}}{4}+\frac{\ln \left(x +1\right)^{2} x}{2}+\frac{\ln \left(x +1\right)^{2} x^{2}}{4}}{x^{4}}-4 \ln \left(x \right)$&$44$\\ derivativedivides&$-4 \ln \left(x \right)-\frac{1}{12 x}-\frac{1}{12 x^{2}}-\frac{\ln \left(x +1\right) \left(x +1\right) \left(\left(x +1\right)^{2}-3 x \right)}{6 x^{3}}+\frac{\ln \left(x +1\right) \left(x +1\right) \left(x -1\right)}{4 x^{2}}-x -1+\frac{\frac{x}{6}+\frac{1}{6}+\frac{\left(x +1\right)^{3}}{6}-\frac{\left(x +1\right)^{2}}{3}+\frac{2 \left(x +1\right)^{3} \ln \left(x +1\right)}{3}-\frac{\left(x +1\right)^{4} \ln \left(x +1\right)}{6}-\frac{\ln \left(x +1\right) \left(x +1\right)^{2}}{2}+\frac{\ln \left(x +1\right)^{2} \left(x +1\right)^{2}}{2}}{2 x^{4}}$&$126$\\ default&$-4 \ln \left(x \right)-\frac{1}{12 x}-\frac{1}{12 x^{2}}-\frac{\ln \left(x +1\right) \left(x +1\right) \left(\left(x +1\right)^{2}-3 x \right)}{6 x^{3}}+\frac{\ln \left(x +1\right) \left(x +1\right) \left(x -1\right)}{4 x^{2}}-x -1+\frac{\frac{x}{6}+\frac{1}{6}+\frac{\left(x +1\right)^{3}}{6}-\frac{\left(x +1\right)^{2}}{3}+\frac{2 \left(x +1\right)^{3} \ln \left(x +1\right)}{3}-\frac{\left(x +1\right)^{4} \ln \left(x +1\right)}{6}-\frac{\ln \left(x +1\right) \left(x +1\right)^{2}}{2}+\frac{\ln \left(x +1\right)^{2} \left(x +1\right)^{2}}{2}}{2 x^{4}}$&$126$\\ \hline \end{longtable}"," ",0,"1/4*(x^2+2*x+1)/x^4*ln(x+1)^2-x-4*ln(x)","A"
9988,1,32,27,0.069000," ","int((-ln(3*x)^2+3*ln(x)-9*x^2+4)*exp(-x*ln(3*x)^2+2*x*ln(3*x)+3*x*ln(x)-3*x^3-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&${\mathrm e}^{-x \ln \left(3 x \right)^{2}+2 x \ln \left(3 x \right)+3 x \ln \left(x \right)-3 x^{3}-x}$&$32$\\ default&${\mathrm e}^{-x \ln \left(3 x \right)^{2}+2 x \ln \left(3 x \right)+3 x \ln \left(x \right)-3 x^{3}-x}$&$32$\\ risch&$x^{3 x} x^{-2 x \ln \left(3\right)} x^{2 x} 9^{x} {\mathrm e}^{-x \left(\ln \left(x \right)^{2}+\ln \left(3\right)^{2}+3 x^{2}+1\right)}$&$41$\\ \hline \end{longtable}"," ",0,"exp(-x*ln(3*x)^2+2*x*ln(3*x)+3*x*ln(x)-3*x^3-x)","A"
9989,1,40,28,0.029000," ","int(((-x^5+33*x^4-288*x^3-256*x^2+7168*x+8192)*ln(x)^2+(-128*x^3+1920*x^2)*ln(x)-128*x^2+2048*x)/(x^4-32*x^3+256*x^2)/exp(x)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{3}-16 x^{2}+512\right) {\mathrm e}^{-x}}{x \left(x -16\right)}+\frac{128 \,{\mathrm e}^{-x}}{\left(x -16\right) \ln \left(x \right)}$&$40$\\ \hline \end{longtable}"," ",0,"(x^3-16*x^2+512)/x/(x-16)*exp(-x)+128*exp(-x)/(x-16)/ln(x)","A"
9990,1,22,26,0.051000," ","int(1/4*(24*exp(ln(2)-1)+12*x*exp(3)+9*x^5)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\frac{3 x^{5}}{4}-6 \,{\mathrm e}^{-1}-3 x \,{\mathrm e}^{3}}{x^{2}}$&$22$\\ risch&$\frac{3 x^{3}}{4}+\frac{\left(-24 \,{\mathrm e}^{-4}-12 x \right) {\mathrm e}^{3}}{4 x^{2}}$&$22$\\ gosper&$-\frac{3 \left(-x^{5}+4 x \,{\mathrm e}^{3}+4 \,{\mathrm e}^{\ln \left(2\right)-1}\right)}{4 x^{2}}$&$24$\\ default&$\frac{3 x^{3}}{4}-\frac{3 \,{\mathrm e}^{\ln \left(2\right)-1}}{x^{2}}-\frac{3 \,{\mathrm e}^{3}}{x}$&$24$\\ \hline \end{longtable}"," ",0,"(3/4*x^5-6/exp(1)-3*x*exp(3))/x^2","A"
9991,1,35,23,0.149000," ","int(((-100*x^5+104*x^4-25*x^2-49*x+3)*exp(x)+200*x^4-100*x+6)*exp((10*exp(x)*x^3+100*x^4+16*x^3+25*x-1)/(5*exp(x)*x^3+10*x^3))/(5*exp(x)^2*x^4+20*exp(x)*x^4+20*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{10 \,{\mathrm e}^{x} x^{3}+100 x^{4}+16 x^{3}+25 x -1}{5 x^{3} \left({\mathrm e}^{x}+2\right)}}$&$35$\\ \hline \end{longtable}"," ",0,"exp(1/5*(10*exp(x)*x^3+100*x^4+16*x^3+25*x-1)/x^3/(exp(x)+2))","A"
9992,1,5,8,0.016000," ","int(3*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$3 \,{\mathrm e}^{x}$&$5$\\ derivativedivides&$3 \,{\mathrm e}^{x}$&$5$\\ default&$3 \,{\mathrm e}^{x}$&$5$\\ norman&$3 \,{\mathrm e}^{x}$&$5$\\ risch&$3 \,{\mathrm e}^{x}$&$5$\\ meijerg&$-3+3 \,{\mathrm e}^{x}$&$7$\\ \hline \end{longtable}"," ",0,"3*exp(x)","A"
9993,1,17,13,0.019000," ","int((25*I*Pi-2)/(25*I*Pi-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{\left(25 i \pi -2\right) x}{25 i \pi -1}$&$17$\\ norman&$\frac{\left(625 \pi^{2}+25 i \pi +2\right) x}{625 \pi^{2}+1}$&$23$\\ risch&$\frac{25 i x \pi}{25 i \pi -1}-\frac{2 x}{25 i \pi -1}$&$26$\\ \hline \end{longtable}"," ",0,"(25*I*Pi-2)/(25*I*Pi-1)*x","A"
9994,1,11,12,0.018000," ","int(-exp(1)-10*x-20,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-x \left(5 x +{\mathrm e}+20\right)$&$11$\\ default&$-x \,{\mathrm e}-5 x^{2}-20 x$&$15$\\ norman&$\left(-{\mathrm e}-20\right) x -5 x^{2}$&$15$\\ risch&$-x \,{\mathrm e}-5 x^{2}-20 x$&$15$\\ \hline \end{longtable}"," ",0,"-x*(5*x+exp(1)+20)","A"
9995,1,11,11,0.014000," ","int(3*exp(x)-8*x^7,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{8}+3 \,{\mathrm e}^{x}$&$11$\\ norman&$-x^{8}+3 \,{\mathrm e}^{x}$&$11$\\ risch&$-x^{8}+3 \,{\mathrm e}^{x}$&$11$\\ \hline \end{longtable}"," ",0,"-x^8+3*exp(x)","A"
9996,1,15,21,0.020000," ","int(-3/5*x^2*exp(1)-24/25*x^3+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{x^{3} {\mathrm e}}{5}-\frac{6 x^{4}}{25}+x$&$15$\\ norman&$-\frac{x^{3} {\mathrm e}}{5}-\frac{6 x^{4}}{25}+x$&$15$\\ risch&$-\frac{x^{3} {\mathrm e}}{5}-\frac{6 x^{4}}{25}+x$&$15$\\ gosper&$-\frac{x \left(5 x^{2} {\mathrm e}+6 x^{3}-25\right)}{25}$&$18$\\ \hline \end{longtable}"," ",0,"-1/5*x^3*exp(1)-6/25*x^4+x","A"
9997,1,20,19,0.046000," ","int(((12*exp(x)^2+x-5)*exp(x+exp(2))-12*exp(x)^2+x-6)/(12*exp(x)^2+x-5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x +{\mathrm e}^{2}}+x -\ln \left({\mathrm e}^{2 x}+\frac{x}{12}-\frac{5}{12}\right)$&$20$\\ norman&$x +{\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{2}}-\ln \left(12 \,{\mathrm e}^{2 x}+x -5\right)$&$21$\\ \hline \end{longtable}"," ",0,"exp(x+exp(2))+x-ln(exp(2*x)+1/12*x-5/12)","A"
9998,1,29,22,0.045000," ","int((((16*x^3-32*x^2+16*x)*exp(x)*ln(1/5*x)+exp(x)*x^3)*ln(1/16*(16*x^2-32*x+16)*ln(1/5*x)+1/16*x^2)+(-32*x^2+32*x)*exp(x)*ln(1/5*x)+(-18*x^2+32*x-16)*exp(x))/((16*x^3-32*x^2+16*x)*ln(1/5*x)+x^3)/ln(1/16*(16*x^2-32*x+16)*ln(1/5*x)+1/16*x^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x}}{\ln \left(\frac{\left(16 x^{2}-32 x +16\right) \ln \left(\frac{x}{5}\right)}{16}+\frac{x^{2}}{16}\right)}$&$29$\\ \hline \end{longtable}"," ",0,"exp(x)/ln(1/16*(16*x^2-32*x+16)*ln(1/5*x)+1/16*x^2)","A"
9999,1,25,18,0.064000," ","int(((8*x*exp(1)-12*x^2)*ln(x)^2+(8*x*exp(1)-8*x^2)*ln(x)-5)/((4*x^2*exp(1)-4*x^3)*ln(x)^2-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x \right)+\ln \left(4 \ln \left(x \right)^{2} x \,{\mathrm e}-4 x^{2} \ln \left(x \right)^{2}-5\right)$&$25$\\ risch&$\ln \left(x -{\mathrm e}\right)+2 \ln \left(x \right)+\ln \left(\ln \left(x \right)^{2}-\frac{5}{4 x \left({\mathrm e}-x \right)}\right)$&$32$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(4*ln(x)^2*x*exp(1)-4*x^2*ln(x)^2-5)","A"
10000,1,31,24,0.037000," ","int(1/2*((-48*ln(2)^2*ln(x)^2-64*ln(2)^4)*ln(ln(5))+5*x*ln(x)^5-240*x*ln(2)^2*ln(x)^2-320*x*ln(2)^4)*exp((9*ln(x)^4+24*ln(2)^2*ln(x)^2+16*ln(2)^4)/ln(x)^4)/x/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(5 x +\ln \left(\ln \left(5\right)\right)\right) {\mathrm e}^{\frac{\left(3 \ln \left(x \right)^{2}+4 \ln \left(2\right)^{2}\right)^{2}}{\ln \left(x \right)^{4}}}}{2}$&$31$\\ \hline \end{longtable}"," ",0,"1/2*(5*x+ln(ln(5)))*exp((3*ln(x)^2+4*ln(2)^2)^2/ln(x)^4)","A"
10001,1,27,25,0.062000," ","int(((2*x^2*exp(x^2)-16*x^4-x-1)*exp(exp(x^2)-4*x^4-x)-3*x^4)*exp((exp(exp(x^2)-4*x^4-x)-x^4)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{-{\mathrm e}^{{\mathrm e}^{x^{2}}-4 x^{4}-x}+x^{4}}{x}}$&$27$\\ \hline \end{longtable}"," ",0,"exp(-(-exp(exp(x^2)-4*x^4-x)+x^4)/x)","A"
10002,1,47,21,0.066000," ","int(((-4*x^4-4*x^3+44*x^2+52*x+8)*ln(x)+2*x^5+32*x^4+24*x^3-356*x^2-570*x-92)/(x^4+3*x^3+3*x^2+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+30 x -92 \ln \left(x \right)+\frac{64}{\left(x +1\right)^{2}}+\frac{224}{x +1}-4 x \ln \left(x \right)+4 \ln \left(x \right)^{2}+\frac{32 \ln \left(x \right) x}{x +1}$&$47$\\ risch&$4 \ln \left(x \right)^{2}-\frac{4 \left(x^{2}+x +8\right) \ln \left(x \right)}{x +1}-\frac{-x^{4}+60 x^{2} \ln \left(x \right)-32 x^{3}+120 x \ln \left(x \right)-61 x^{2}+60 \ln \left(x \right)-254 x -288}{\left(x +1\right)^{2}}$&$66$\\ norman&$\frac{x^{4}-66 x^{2}-14 \ln \left(x \right)+10 x^{2} \ln \left(x \right)+32 x^{3}+4 \ln \left(x \right)^{2}+8 x \ln \left(x \right)^{2}+4 x^{2} \ln \left(x \right)^{2}-4 x^{3} \ln \left(x \right)+161}{\left(x +1\right)^{2}}-78 \ln \left(x \right)$&$67$\\ \hline \end{longtable}"," ",0,"x^2+30*x-92*ln(x)+64/(x+1)^2+224/(x+1)-4*x*ln(x)+4*ln(x)^2+32*ln(x)*x/(x+1)","B"
10003,1,40,21,0.063000," ","int(1/5*(-10*3^(2/5)+6*x^3*exp(1/5*x)*3^(1/5)+(18*x^5+90*x^4)*exp(1/5*x)^2+(-84*x^5-840*x^4)*exp(1/5*x)+1960*x^4)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$196 x^{2}+\frac{3^{\frac{2}{5}}}{x^{2}}+9 x^{2} {\mathrm e}^{\frac{2 x}{5}}+\frac{\left(30 \,3^{\frac{1}{5}}-420 x^{2}\right) {\mathrm e}^{\frac{x}{5}}}{5}$&$40$\\ derivativedivides&$196 x^{2}+\frac{3^{\frac{2}{5}}}{x^{2}}-84 x^{2} {\mathrm e}^{\frac{x}{5}}+9 x^{2} {\mathrm e}^{\frac{2 x}{5}}+6 \,{\mathrm e}^{\frac{x}{5}} 3^{\frac{1}{5}}$&$43$\\ default&$196 x^{2}+\frac{3^{\frac{2}{5}}}{x^{2}}-84 x^{2} {\mathrm e}^{\frac{x}{5}}+9 x^{2} {\mathrm e}^{\frac{2 x}{5}}+6 \,{\mathrm e}^{\frac{x}{5}} 3^{\frac{1}{5}}$&$43$\\ norman&$\frac{3^{\frac{2}{5}}+196 x^{4}-84 x^{4} {\mathrm e}^{\frac{x}{5}}+9 x^{4} {\mathrm e}^{\frac{2 x}{5}}+6 x^{2} {\mathrm e}^{\frac{x}{5}} 3^{\frac{1}{5}}}{x^{2}}$&$46$\\ \hline \end{longtable}"," ",0,"196*x^2+3^(2/5)/x^2+9*x^2*exp(2/5*x)+1/5*(30*3^(1/5)-420*x^2)*exp(1/5*x)","A"
10004,1,21,15,0.026000," ","int(1/81*((ln(2/5)-238)*ln(2)+486*x)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(\ln \left(2\right) \ln \left(\frac{2}{5}\right)-238 \ln \left(2\right)+243 x \right)}{81 \ln \left(2\right)}$&$21$\\ default&$\frac{\left(\ln \left(\frac{2}{5}\right)-238\right) \ln \left(2\right) x +243 x^{2}}{81 \ln \left(2\right)}$&$21$\\ norman&$\left(\frac{\ln \left(2\right)}{81}-\frac{\ln \left(5\right)}{81}-\frac{238}{81}\right) x +\frac{3 x^{2}}{\ln \left(2\right)}$&$23$\\ risch&$\frac{x \ln \left(2\right)}{81}-\frac{x \ln \left(5\right)}{81}-\frac{238 x}{81}+\frac{3 x^{2}}{\ln \left(2\right)}$&$24$\\ \hline \end{longtable}"," ",0,"1/81*x*(ln(2)*ln(2/5)-238*ln(2)+243*x)/ln(2)","A"
10005,1,31,23,0.121000," ","int(((175*x^7+4450*x^6+22400*x^5-64000*x^4)*ln(2-x)*ln(ln(2-x))^2+(50*x^7+1600*x^6+12800*x^5)*ln(ln(2-x))+(-45*x+90)*ln(2-x))/(9*x-18)/ln(2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{25}{9} x^{7}+\frac{800}{9} x^{6}+\frac{6400}{9} x^{5}\right) \ln \left(\ln \left(2-x \right)\right)^{2}-5 x$&$31$\\ \hline \end{longtable}"," ",0,"(25/9*x^7+800/9*x^6+6400/9*x^5)*ln(ln(2-x))^2-5*x","A"
10006,1,112,30,1.120000," ","int(((x*ln(3/x)^2+((-4*x^3+12*x^2-2*x)*exp(x^2-6*x-2)-2*x)*ln(3/x)+(4*x^3-12*x^2+x)*exp(x^2-6*x-2)^2+2*x*exp(x^2-6*x-2))*ln(x)+x*ln(3/x)^2+((-20*x^2+58*x)*exp(x^2-6*x-2)-10)*ln(3/x)+(20*x^2-59*x)*exp(x^2-6*x-2)^2+10*exp(x^2-6*x-2))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(x \right)^{3}+\left(5-2 x \ln \left(3\right)+2 x \,{\mathrm e}^{x^{2}-6 x -2}\right) \ln \left(x \right)^{2}+\left(x \ln \left(3\right)^{2}+{\mathrm e}^{2 x^{2}-12 x -4} x -2 \ln \left(3\right) {\mathrm e}^{x^{2}-6 x -2} x +10 \,{\mathrm e}^{x^{2}-6 x -2}\right) \ln \left(x \right)-10 \ln \left(3\right) \ln \left(x \right)+5 \,{\mathrm e}^{2 x^{2}-12 x -4}-10 \ln \left(3\right) {\mathrm e}^{x^{2}-6 x -2}$&$112$\\ \hline \end{longtable}"," ",0,"x*ln(x)^3+(5-2*x*ln(3)+2*x*exp(x^2-6*x-2))*ln(x)^2+(x*ln(3)^2+exp(2*x^2-12*x-4)*x-2*ln(3)*exp(x^2-6*x-2)*x+10*exp(x^2-6*x-2))*ln(x)-10*ln(3)*ln(x)+5*exp(2*x^2-12*x-4)-10*ln(3)*exp(x^2-6*x-2)","B"
10007,1,11,10,0.021000," ","int((4*ln(x)+2)/x/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$4 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)$&$11$\\ default&$4 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)$&$11$\\ norman&$4 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)$&$11$\\ risch&$4 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)\right)$&$11$\\ \hline \end{longtable}"," ",0,"4*ln(x)+2*ln(ln(x))","A"
10008,1,11,11,0.016000," ","int(1/10*(-80*x^8-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{8}-\frac{\ln \left(x \right)}{10}$&$11$\\ norman&$-x^{8}-\frac{\ln \left(x \right)}{10}$&$11$\\ risch&$-x^{8}-\frac{\ln \left(x \right)}{10}$&$11$\\ \hline \end{longtable}"," ",0,"-x^8-1/10*ln(x)","A"
10009,1,18,21,0.048000," ","int(1/2*(-exp(1)+x^2-2*x+10)/exp(3)/exp(3+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left({\mathrm e}-x^{2}-10\right) {\mathrm e}^{-x -6}}{2}$&$18$\\ gosper&$\frac{{\mathrm e}^{-3} \left({\mathrm e}-x^{2}-10\right) {\mathrm e}^{-3-x}}{2}$&$22$\\ norman&$\left(-\frac{x^{2} {\mathrm e}^{-3}}{2}+\frac{{\mathrm e}^{-3} \left({\mathrm e}-10\right)}{2}\right) {\mathrm e}^{-3-x}$&$28$\\ derivativedivides&$\frac{{\mathrm e}^{-3} \left(-{\mathrm e}^{-3-x} \left(3+x \right)^{2}+6 \,{\mathrm e}^{-3-x} \left(3+x \right)-19 \,{\mathrm e}^{-3-x}+{\mathrm e}^{-3-x} {\mathrm e}\right)}{2}$&$49$\\ default&$\frac{{\mathrm e}^{-3} \left(-{\mathrm e}^{-3-x} \left(3+x \right)^{2}+6 \,{\mathrm e}^{-3-x} \left(3+x \right)-19 \,{\mathrm e}^{-3-x}+{\mathrm e}^{-3-x} {\mathrm e}\right)}{2}$&$49$\\ \hline \end{longtable}"," ",0,"1/2*(exp(1)-x^2-10)*exp(-x-6)","A"
10010,1,46,25,0.165000," ","int(((5*x^5-49*x^4+120*x^3-10*x^2+98*x-240)*ln((-5*x+24)/(x-5))^3+(60*x^2-588*x+1440)*ln((-5*x+24)/(x-5))^2+(-90*x^2+876*x-2160)*ln((-5*x+24)/(x-5))+18*x)/(5*x^5-49*x^4+120*x^3)/ln((-5*x+24)/(x-5))^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{3}+1}{x^{2}}-\frac{3 \left(2 \ln \left(\frac{-5 x +24}{x -5}\right)-3\right)}{x^{2} \ln \left(\frac{-5 x +24}{x -5}\right)^{2}}$&$46$\\ norman&$\frac{9+\ln \left(\frac{-5 x +24}{x -5}\right)^{2}+x^{3} \ln \left(\frac{-5 x +24}{x -5}\right)^{2}-6 \ln \left(\frac{-5 x +24}{x -5}\right)}{\ln \left(\frac{-5 x +24}{x -5}\right)^{2} x^{2}}$&$67$\\ \hline \end{longtable}"," ",0,"(x^3+1)/x^2-3/x^2*(2*ln((-5*x+24)/(x-5))-3)/ln((-5*x+24)/(x-5))^2","A"
10011,1,195,23,0.263000," ","int(((-exp(x)*x^2+x^2)*ln(x)*ln(-10*x*exp(3/x)*ln(x))*ln(ln(-10*x*exp(3/x)*ln(x)))+((x-3)*exp(x)-x^2+3*x)*ln(x)+exp(x)*x-x^2)/(3*exp(x)^2*x^2-6*exp(x)*x^3+3*x^4)/ln(x)/ln(-10*x*exp(3/x)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\ln \left(\ln \left(2\right)+\ln \left(5\right)+i \pi +\ln \left(x \right)+\ln \left({\mathrm e}^{\frac{3}{x}}\right)+\ln \left(\ln \left(x \right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{\frac{3}{x}} \ln \left(x \right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{\frac{3}{x}} \ln \left(x \right)\right)+\mathrm{csgn}\left(i {\mathrm e}^{\frac{3}{x}}\right)\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{\frac{3}{x}} \ln \left(x \right)\right)+\mathrm{csgn}\left(i \ln \left(x \right)\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{3}{x}} \ln \left(x \right)\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{3}{x}} \ln \left(x \right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{3}{x}} \ln \left(x \right)\right)+\mathrm{csgn}\left(i {\mathrm e}^{\frac{3}{x}} \ln \left(x \right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{3}{x}} \ln \left(x \right)\right)^{2} \left(\mathrm{csgn}\left(i x \,{\mathrm e}^{\frac{3}{x}} \ln \left(x \right)\right)-1\right)\right)}{3 \left(x -{\mathrm e}^{x}\right)}$&$195$\\ \hline \end{longtable}"," ",0,"-1/3/(x-exp(x))*ln(ln(2)+ln(5)+I*Pi+ln(x)+ln(exp(3/x))+ln(ln(x))-1/2*I*Pi*csgn(I*exp(3/x)*ln(x))*(-csgn(I*exp(3/x)*ln(x))+csgn(I*exp(3/x)))*(-csgn(I*exp(3/x)*ln(x))+csgn(I*ln(x)))-1/2*I*Pi*csgn(I*x*exp(3/x)*ln(x))*(-csgn(I*x*exp(3/x)*ln(x))+csgn(I*x))*(-csgn(I*x*exp(3/x)*ln(x))+csgn(I*exp(3/x)*ln(x)))+I*Pi*csgn(I*x*exp(3/x)*ln(x))^2*(csgn(I*x*exp(3/x)*ln(x))-1))","C"
10012,1,6,13,0.011000," ","int(16/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{16}{x}$&$6$\\ default&$-\frac{16}{x}$&$6$\\ norman&$-\frac{16}{x}$&$6$\\ risch&$-\frac{16}{x}$&$6$\\ \hline \end{longtable}"," ",0,"-16/x","A"
10013,1,23,22,0.047000," ","int(((-40*x-76)*ln(2*x)-400*x^2-3020*x-5700)/(25*x^4+190*x^3+361*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{304+80 x +4 \ln \left(2 x \right)}{x \left(5 x +19\right)}$&$23$\\ risch&$\frac{4 \ln \left(2 x \right)}{x \left(5 x +19\right)}+\frac{16}{x}$&$23$\\ derivativedivides&$\frac{16}{x}-\frac{20 \ln \left(2 x \right)}{361}+\frac{200 \ln \left(2 x \right) x}{361 \left(10 x +38\right)}+\frac{4 \ln \left(2 x \right)}{19 x}$&$36$\\ default&$\frac{16}{x}-\frac{20 \ln \left(2 x \right)}{361}+\frac{200 \ln \left(2 x \right) x}{361 \left(10 x +38\right)}+\frac{4 \ln \left(2 x \right)}{19 x}$&$36$\\ \hline \end{longtable}"," ",0,"(304+80*x+4*ln(2*x))/x/(5*x+19)","A"
10014,1,27,33,0.148000," ","int(((-25*x^4+76*x^3-27*x^2-200*x+104)*exp(x)+625*x^6+1200*x^5-1974*x^4-2348*x^3+2697*x^2-204*x+4)/(625*x^6+1200*x^5-1974*x^4-2348*x^3+2697*x^2-204*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{\left(x -2\right) {\mathrm e}^{x}}{25 x^{3}+24 x^{2}-51 x +2}$&$27$\\ default&$x +\frac{{\mathrm e}^{x}}{72 x -72}+\frac{4 \,{\mathrm e}^{x}}{153 \left(2+x \right)}-\frac{49 \,{\mathrm e}^{x}}{1224 \left(x -\frac{1}{25}\right)}$&$30$\\ norman&$\frac{-51 x^{2}+2 x +24 x^{3}+25 x^{4}-{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}}{25 x^{3}+24 x^{2}-51 x +2}$&$47$\\ \hline \end{longtable}"," ",0,"x-(x-2)/(25*x^3+24*x^2-51*x+2)*exp(x)","A"
10015,1,48,24,0.043000," ","int(((2*x^3*exp(x-4)^2+(-8*x^2+8*x)*exp(x-4)-32)*ln(x)^3+((-2*x^5-4*x^4)*exp(x-4)+8*x^3)*ln(x)^2+(2*x^4*exp(x-4)+4*x^6-8*x^3)*ln(x)-2*x^6)/x^3/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2} {\mathrm e}^{2 x -8}-8 x \,{\mathrm e}^{x -4}+16}{x^{2}}+\frac{x \left(x^{3}-2 x \,{\mathrm e}^{x -4} \ln \left(x \right)+8 \ln \left(x \right)\right)}{\ln \left(x \right)^{2}}$&$48$\\ \hline \end{longtable}"," ",0,"(x^2*exp(2*x-8)-8*x*exp(x-4)+16)/x^2+x*(x^3-2*x*exp(x-4)*ln(x)+8*ln(x))/ln(x)^2","A"
10016,1,14,16,0.022000," ","int((12*x*ln(3)+2*exp(2)^2)/exp(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$6 \ln \left(3\right) x^{2} {\mathrm e}^{-4}+2 x$&$14$\\ gosper&$2 x \left({\mathrm e}^{4}+3 x \ln \left(3\right)\right) {\mathrm e}^{-4}$&$18$\\ default&${\mathrm e}^{-4} \left(6 x^{2} \ln \left(3\right)+2 x \,{\mathrm e}^{4}\right)$&$21$\\ norman&$\left(2 \,{\mathrm e}^{2} x +6 \,{\mathrm e}^{-2} \ln \left(3\right) x^{2}\right) {\mathrm e}^{-2}$&$23$\\ \hline \end{longtable}"," ",0,"6*ln(3)*x^2*exp(-4)+2*x","A"
10017,1,16,16,0.035000," ","int((20*x^2*exp(20*x)+exp(4)+2*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$2 x -\frac{{\mathrm e}^{4}}{x}+{\mathrm e}^{20 x}$&$16$\\ default&$2 x -\frac{{\mathrm e}^{4}}{x}+{\mathrm e}^{20 x}$&$16$\\ risch&$2 x -\frac{{\mathrm e}^{4}}{x}+{\mathrm e}^{20 x}$&$16$\\ norman&$\frac{x \,{\mathrm e}^{20 x}+2 x^{2}-{\mathrm e}^{4}}{x}$&$21$\\ \hline \end{longtable}"," ",0,"2*x-exp(4)/x+exp(20*x)","A"
10018,1,37,24,0.061000," ","int(((-12*ln(16/exp(x)^2)+12*x+36)*exp(ln(16/exp(x)^2)^2+(-2*x-6)*ln(16/exp(x)^2)+x^2+6*x+15)+2)*ln(exp(ln(16/exp(x)^2)^2+(-2*x-6)*ln(16/exp(x)^2)+x^2+6*x+15)+x)/(exp(ln(16/exp(x)^2)^2+(-2*x-6)*ln(16/exp(x)^2)+x^2+6*x+15)+x),x)","\[\ln \left({\mathrm e}^{\ln \left(16 \,{\mathrm e}^{-2 x}\right)^{2}+\left(-2 x -6\right) \ln \left(16 \,{\mathrm e}^{-2 x}\right)+x^{2}+6 x +15}+x \right)^{2}\]"," ",0,"ln(exp(ln(16/exp(x)^2)^2+(-2*x-6)*ln(16/exp(x)^2)+x^2+6*x+15)+x)^2","A"
10019,1,32,33,0.088000," ","int(((16*exp(1)-4)*exp(x^2)^2+((-32*x-72)*exp(1)-10*x^2+8*x+13)*exp(x^2)+(16*x^2+72*x+81)*exp(1)-4*x^2-8*x-9)/(16*x^2*exp(x^2)^2+(-32*x^3-72*x^2)*exp(x^2)+16*x^4+72*x^3+81*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}}{x}+\frac{1}{4 x}-\frac{5}{4 x \left(4 x -4 \,{\mathrm e}^{x^{2}}+9\right)}$&$32$\\ norman&$\frac{\left(4 \,{\mathrm e}-1\right) {\mathrm e}^{x^{2}}+\left(-4 \,{\mathrm e}+1\right) x +1-9 \,{\mathrm e}}{x \left(4 x -4 \,{\mathrm e}^{x^{2}}+9\right)}$&$43$\\ \hline \end{longtable}"," ",0,"-exp(1)/x+1/4/x-5/4/x/(4*x-4*exp(x^2)+9)","A"
10020,1,15,18,0.045000," ","int(((2*x^2-4*x)*ln(x-2)+2*x^3-5*x^2)/((x-2)*ln(x-2)^2+(4*x^2-8*x)*ln(x-2)+4*x^3-8*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}}{2 x +\ln \left(x -2\right)}$&$15$\\ risch&$\frac{x^{2}}{2 x +\ln \left(x -2\right)}$&$15$\\ \hline \end{longtable}"," ",0,"x^2/(2*x+ln(x-2))","A"
10021,1,292,18,0.171000," ","int(((64*x*exp(x)^2-128*x)*ln(x)*ln((-x*exp(x)^2+2*x)*ln(x))+((64*x^2+32*x)*exp(x)^2-64*x)*ln(x)+32*x*exp(x)^2-64*x)/(exp(x)^2-2)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$32 x^{2} \ln \left({\mathrm e}^{2 x}-2\right)+32 x^{2} \ln \left(\ln \left(x \right)\right)+32 i \pi  \,x^{2}-32 i \pi  \,x^{2} \mathrm{csgn}\left(i x \ln \left(x \right) \left({\mathrm e}^{2 x}-2\right)\right)^{2}+16 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right) \left({\mathrm e}^{2 x}-2\right)\right) \mathrm{csgn}\left(i x \ln \left(x \right) \left({\mathrm e}^{2 x}-2\right)\right)^{2}+16 i \pi  \,x^{2} \mathrm{csgn}\left(i x \ln \left(x \right) \left({\mathrm e}^{2 x}-2\right)\right)^{3}+16 i \pi  \,x^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{2 x}-2\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left({\mathrm e}^{2 x}-2\right)\right)^{2}-16 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right) \left({\mathrm e}^{2 x}-2\right)\right)^{3}+16 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left({\mathrm e}^{2 x}-2\right)\right)^{2}-16 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{2 x}-2\right)\right) \mathrm{csgn}\left(i \ln \left(x \right) \left({\mathrm e}^{2 x}-2\right)\right)+16 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \ln \left(x \right) \left({\mathrm e}^{2 x}-2\right)\right)^{2}-16 i \pi  \,x^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \ln \left(x \right) \left({\mathrm e}^{2 x}-2\right)\right) \mathrm{csgn}\left(i x \ln \left(x \right) \left({\mathrm e}^{2 x}-2\right)\right)+32 x^{2} \ln \left(x \right)$&$292$\\ \hline \end{longtable}"," ",0,"32*x^2*ln(exp(2*x)-2)+32*x^2*ln(ln(x))+32*I*Pi*x^2-32*I*Pi*x^2*csgn(I*x*ln(x)*(exp(2*x)-2))^2+16*I*Pi*x^2*csgn(I*ln(x)*(exp(2*x)-2))*csgn(I*x*ln(x)*(exp(2*x)-2))^2+16*I*Pi*x^2*csgn(I*x*ln(x)*(exp(2*x)-2))^3+16*I*Pi*x^2*csgn(I*(exp(2*x)-2))*csgn(I*ln(x)*(exp(2*x)-2))^2-16*I*Pi*x^2*csgn(I*ln(x)*(exp(2*x)-2))^3+16*I*Pi*x^2*csgn(I*ln(x))*csgn(I*ln(x)*(exp(2*x)-2))^2-16*I*Pi*x^2*csgn(I*ln(x))*csgn(I*(exp(2*x)-2))*csgn(I*ln(x)*(exp(2*x)-2))+16*I*Pi*x^2*csgn(I*x)*csgn(I*x*ln(x)*(exp(2*x)-2))^2-16*I*Pi*x^2*csgn(I*x)*csgn(I*ln(x)*(exp(2*x)-2))*csgn(I*x*ln(x)*(exp(2*x)-2))+32*x^2*ln(x)","C"
10022,1,18,19,0.125000," ","int((((-2*x^4+8)*ln(x)+2*x^4-8)*ln(x^4-4)+8*x^4*ln(x)-16*x^4)/(x^4-4)/exp(1)/ln(x^4-4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x \,{\mathrm e}^{-1} \left(\ln \left(x \right)-2\right)}{\ln \left(x^{4}-4\right)}$&$18$\\ \hline \end{longtable}"," ",0,"-2*x*exp(-1)/ln(x^4-4)*(ln(x)-2)","A"
10023,1,24,21,0.079000," ","int((((x^2-4*x+3)*exp(x)-3*x^2+3*x)*exp(exp(x)/x)-2*x^3)/((3*x^3-9*x^2)*exp(exp(x)/x)+3*x^4-9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{\ln \left(x \right)}{3}-\frac{2 \ln \left(x -3\right)}{3}+\frac{\ln \left(x +{\mathrm e}^{\frac{{\mathrm e}^{x}}{x}}\right)}{3}$&$24$\\ risch&$-\frac{\ln \left(x \right)}{3}-\frac{2 \ln \left(x -3\right)}{3}+\frac{\ln \left(x +{\mathrm e}^{\frac{{\mathrm e}^{x}}{x}}\right)}{3}$&$24$\\ \hline \end{longtable}"," ",0,"-1/3*ln(x)-2/3*ln(x-3)+1/3*ln(x+exp(exp(x)/x))","A"
10024,1,21,17,0.150000," ","int(1/2*((2*x^2-8)*ln(2)+x^3-7*x^2-4*x+32)*exp((x^2+x+4)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{\frac{x^{2}+x +4}{x}} \left(x +2 \ln \left(2\right)-8\right)}{2}$&$21$\\ risch&$\frac{{\mathrm e}^{\frac{x^{2}+x +4}{x}} \left(x +2 \ln \left(2\right)-8\right)}{2}$&$21$\\ norman&$\frac{x \left(\ln \left(2\right)-4\right) {\mathrm e}^{\frac{x^{2}+x +4}{x}}+\frac{x^{2} {\mathrm e}^{\frac{x^{2}+x +4}{x}}}{2}}{x}$&$39$\\ \hline \end{longtable}"," ",0,"1/2*exp((x^2+x+4)/x)*(x+2*ln(2)-8)","A"
10025,1,232,24,0.187000," ","int(((exp(x)*x+(x*exp(3)-x^2-4*x+1)*exp(5))*ln((-exp(x)*x+(-x*exp(3)+x^2+4*x-1)*exp(5))/x)*ln(ln((-exp(x)*x+(-x*exp(3)+x^2+4*x-1)*exp(5))/x))+exp(x)*x^2+(-x^2-1)*exp(5))/(exp(x)*x+(x*exp(3)-x^2-4*x+1)*exp(5))/ln((-exp(x)*x+(-x*exp(3)+x^2+4*x-1)*exp(5))/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(i \pi -\ln \left(x \right)+\ln \left({\mathrm e}^{x} x +\left(x \,{\mathrm e}^{3}-x^{2}-4 x +1\right) {\mathrm e}^{5}\right)-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x +\left(x \,{\mathrm e}^{3}-x^{2}-4 x +1\right) {\mathrm e}^{5}\right)}{x}\right) \left(-\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x +\left(x \,{\mathrm e}^{3}-x^{2}-4 x +1\right) {\mathrm e}^{5}\right)}{x}\right)+\mathrm{csgn}\left(\frac{i}{x}\right)\right) \left(-\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x +\left(x \,{\mathrm e}^{3}-x^{2}-4 x +1\right) {\mathrm e}^{5}\right)}{x}\right)+\mathrm{csgn}\left(i \left({\mathrm e}^{x} x +\left(x \,{\mathrm e}^{3}-x^{2}-4 x +1\right) {\mathrm e}^{5}\right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x +\left(x \,{\mathrm e}^{3}-x^{2}-4 x +1\right) {\mathrm e}^{5}\right)}{x}\right)^{2} \left(\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{x} x +\left(x \,{\mathrm e}^{3}-x^{2}-4 x +1\right) {\mathrm e}^{5}\right)}{x}\right)-1\right)\right)$&$232$\\ \hline \end{longtable}"," ",0,"x*ln(I*Pi-ln(x)+ln(exp(x)*x+(x*exp(3)-x^2-4*x+1)*exp(5))-1/2*I*Pi*csgn(I/x*(exp(x)*x+(x*exp(3)-x^2-4*x+1)*exp(5)))*(-csgn(I/x*(exp(x)*x+(x*exp(3)-x^2-4*x+1)*exp(5)))+csgn(I/x))*(-csgn(I/x*(exp(x)*x+(x*exp(3)-x^2-4*x+1)*exp(5)))+csgn(I*(exp(x)*x+(x*exp(3)-x^2-4*x+1)*exp(5))))+I*Pi*csgn(I/x*(exp(x)*x+(x*exp(3)-x^2-4*x+1)*exp(5)))^2*(csgn(I/x*(exp(x)*x+(x*exp(3)-x^2-4*x+1)*exp(5)))-1))","C"
10026,1,70,23,0.041000," ","int(1/4*(16*x+4)*exp(x)^4+1/4*(-432*x-144)*ln(3)*exp(x)^3+1/4*((3888*x+1944)*ln(3)^2+32*x+16)*exp(x)^2+1/4*((-11664*x-11664)*ln(3)^3+(-288*x-288)*ln(3))*exp(x)-1/4*exp(1/4*x)+6561*ln(3)^4+324*ln(3)^2+5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \,{\mathrm e}^{4 x}-36 \ln \left(3\right) {\mathrm e}^{3 x} x +2 \left(243 \ln \left(3\right)^{2}+2\right) x \,{\mathrm e}^{2 x}-36 \ln \left(3\right) \left(81 \ln \left(3\right)^{2}+2\right) x \,{\mathrm e}^{x}-{\mathrm e}^{\frac{x}{4}}+6561 x \ln \left(3\right)^{4}+324 x \ln \left(3\right)^{2}+5 x$&$70$\\ default&$5 x +324 x \ln \left(3\right)^{2}+6561 x \ln \left(3\right)^{4}+x \,{\mathrm e}^{4 x}-72 x \ln \left(3\right) {\mathrm e}^{x}-2916 \,{\mathrm e}^{x} \ln \left(3\right)^{3} x +4 x \,{\mathrm e}^{2 x}+486 x \ln \left(3\right)^{2} {\mathrm e}^{2 x}-36 \ln \left(3\right) {\mathrm e}^{3 x} x -{\mathrm e}^{\frac{x}{4}}$&$74$\\ \hline \end{longtable}"," ",0,"x*exp(4*x)-36*ln(3)*exp(3*x)*x+2*(243*ln(3)^2+2)*x*exp(2*x)-36*ln(3)*(81*ln(3)^2+2)*x*exp(x)-exp(1/4*x)+6561*x*ln(3)^4+324*x*ln(3)^2+5*x","B"
10027,1,36,29,0.036000," ","int((((2*x-2)*exp(x)^2+(-12*x+12)*exp(x)+18*x-18)*ln(x)+(6*x^6+2*x)*exp(x)^2+(-36*x^6-x^3+2*x^2-12*x)*exp(x)+54*x^6-6*x^2+18*x)/(x*exp(x)^2-6*exp(x)*x+9*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x \right)^{2}+2 x \ln \left(x \right)+\frac{x^{2} \left({\mathrm e}^{x} x^{4}-3 x^{4}+1\right)}{{\mathrm e}^{x}-3}$&$36$\\ \hline \end{longtable}"," ",0,"-ln(x)^2+2*x*ln(x)+x^2*(exp(x)*x^4-3*x^4+1)/(exp(x)-3)","A"
10028,1,18,26,0.130000," ","int(((80*x-40)*exp(x)^2+40*ln(3)-10)/(16*exp(x)^4+(-32*ln(3)+8)*exp(x)^2+16*ln(3)^2-8*ln(3)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{10 x}{-4 \,{\mathrm e}^{2 x}+4 \ln \left(3\right)-1}$&$18$\\ risch&$\frac{10 x}{-4 \,{\mathrm e}^{2 x}+4 \ln \left(3\right)-1}$&$18$\\ default&$-\frac{10 \ln \left({\mathrm e}^{x}\right)}{\left(-1+4 \ln \left(3\right)\right)^{2}}+\frac{5 \ln \left(4 \,{\mathrm e}^{2 x}-4 \ln \left(3\right)+1\right)}{\left(-1+4 \ln \left(3\right)\right)^{2}}+\frac{40 \ln \left(3\right)}{\left(-1+4 \ln \left(3\right)\right)^{2} \left(4 \,{\mathrm e}^{2 x}-4 \ln \left(3\right)+1\right)}-\frac{5}{\left(-1+4 \ln \left(3\right)\right)^{2} \left(4 \,{\mathrm e}^{2 x}-4 \ln \left(3\right)+1\right)}+\frac{5}{4 \,{\mathrm e}^{2 x}-4 \ln \left(3\right)+1}+\frac{40 \ln \left(3\right) \ln \left({\mathrm e}^{x}\right)}{\left(-1+4 \ln \left(3\right)\right)^{2}}-\frac{20 \ln \left(3\right) \ln \left(4 \,{\mathrm e}^{2 x}-4 \ln \left(3\right)+1\right)}{\left(-1+4 \ln \left(3\right)\right)^{2}}-\frac{80 \ln \left(3\right)^{2}}{\left(-1+4 \ln \left(3\right)\right)^{2} \left(4 \,{\mathrm e}^{2 x}-4 \ln \left(3\right)+1\right)}+\frac{5 \ln \left(-4 \,{\mathrm e}^{2 x}+4 \ln \left(3\right)-1\right)}{-1+4 \ln \left(3\right)}+\frac{40 x \,{\mathrm e}^{2 x}}{\left(-1+4 \ln \left(3\right)\right) \left(-4 \,{\mathrm e}^{2 x}+4 \ln \left(3\right)-1\right)}$&$224$\\ \hline \end{longtable}"," ",0,"10*x/(-4*exp(x)^2+4*ln(3)-1)","A"
10029,1,60,17,0.042000," ","int(1/4*(-24*x^6*exp(-x^6+1)*ln(x)+(-24*x^7+4*x+4)*exp(-x^6+1)+25*x+25)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\left(x -1\right) \left(x +1\right) \left(x^{2}+x +1\right) \left(x^{2}-x +1\right)} \ln \left(x \right)+\frac{25 x}{4}+\frac{25 \ln \left(x \right)}{4}+{\mathrm e}^{-\left(x -1\right) \left(x +1\right) \left(x^{2}+x +1\right) \left(x^{2}-x +1\right)} x$&$60$\\ \hline \end{longtable}"," ",0,"exp(-(x-1)*(x+1)*(x^2+x+1)*(x^2-x+1))*ln(x)+25/4*x+25/4*ln(x)+exp(-(x-1)*(x+1)*(x^2+x+1)*(x^2-x+1))*x","B"
10030,1,53,23,0.030000," ","int(((18*x-126)*ln(x)^3+(108*x^4-378*x^3-2574*x^2-336*x)*ln(x)^2+(216*x^7-7794*x^5-18186*x^4-2288*x^3-24*x^2+168*x)*ln(x)+144*x^10+504*x^9-5292*x^8-29862*x^7-39754*x^6-48*x^5+168*x^4+1144*x^3)/(9*ln(x)^3+(54*x^3+189*x^2)*ln(x)^2+(108*x^6+756*x^5+1323*x^4)*ln(x)+72*x^9+756*x^8+2646*x^7+3087*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-14 x +\frac{8 \left(6 x^{4}-21 x^{3}-145 x^{2}+3 x \ln \left(x \right)-21 \ln \left(x \right)\right) x^{2}}{9 \left(2 x^{3}+7 x^{2}+\ln \left(x \right)\right)^{2}}$&$53$\\ \hline \end{longtable}"," ",0,"x^2-14*x+8/9*(6*x^4-21*x^3-145*x^2+3*x*ln(x)-21*ln(x))*x^2/(2*x^3+7*x^2+ln(x))^2","B"
10031,1,28,29,0.174000," ","int(((-7*x^2+73*x-190)*ln((7*x-38)/(x-5))+21*x^4-471*x^3+3758*x^2-12683*x+15200)/(7*x^2-73*x+190),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{3}+80 x -18 x^{2}-\ln \left(\frac{7 x -38}{x -5}\right) x$&$28$\\ risch&$x^{3}+80 x -18 x^{2}-\ln \left(\frac{7 x -38}{x -5}\right) x$&$28$\\ derivativedivides&$-\frac{\ln \left(7-\frac{3}{x -5}\right) \left(7-\frac{3}{x -5}\right) \left(x -5\right)}{7}-\frac{38 \ln \left(7-\frac{3}{x -5}\right)}{7}+\left(x -5\right)^{3}-3 \left(x -5\right)^{2}-25 x +125$&$54$\\ default&$-\frac{\ln \left(7-\frac{3}{x -5}\right) \left(7-\frac{3}{x -5}\right) \left(x -5\right)}{7}-\frac{38 \ln \left(7-\frac{3}{x -5}\right)}{7}+\left(x -5\right)^{3}-3 \left(x -5\right)^{2}-25 x +125$&$54$\\ \hline \end{longtable}"," ",0,"x^3+80*x-18*x^2-ln((7*x-38)/(x-5))*x","A"
10032,1,16,16,0.168000," ","int(((4*x-5)*ln(3)-4*x^2)/(5*x*ln(3)-5*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 x}{5}-\ln \left(x \right)+\ln \left(-\ln \left(3\right)+x \right)$&$16$\\ norman&$\frac{4 x}{5}-\ln \left(x \right)+\ln \left(\ln \left(3\right)-x \right)$&$16$\\ risch&$\frac{4 x}{5}-\ln \left(x \right)+\ln \left(-\ln \left(3\right)+x \right)$&$16$\\ meijerg&$-\ln \left(x \right)+\ln \left(\ln \left(3\right)\right)-i \pi +\ln \left(1-\frac{x}{\ln \left(3\right)}\right)-\frac{4 \ln \left(3\right) \ln \left(1-\frac{x}{\ln \left(3\right)}\right)}{5}-\frac{4 \ln \left(3\right) \left(-\frac{x}{\ln \left(3\right)}-\ln \left(1-\frac{x}{\ln \left(3\right)}\right)\right)}{5}$&$61$\\ \hline \end{longtable}"," ",0,"4/5*x-ln(x)+ln(-ln(3)+x)","A"
10033,1,42,18,0.086000," ","int((64*x*ln(6*x)^2-32*x*exp(x)*ln(6*x)+4*x*exp(x)^2-4*exp(x)*x+16)*exp(((4*ln(2)+4*x)*ln(6*x)+(-x-ln(2))*exp(x)-1)/(4*ln(6*x)-exp(x)))/(16*x*ln(6*x)^2-8*x*exp(x)*ln(6*x)+x*exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 \,{\mathrm e}^{\frac{{\mathrm e}^{x} \ln \left(2\right)+{\mathrm e}^{x} x -4 \ln \left(6 x \right) \ln \left(2\right)-4 x \ln \left(6 x \right)+1}{{\mathrm e}^{x}-4 \ln \left(6 x \right)}}$&$42$\\ \hline \end{longtable}"," ",0,"4*exp((exp(x)*ln(2)+exp(x)*x-4*ln(6*x)*ln(2)-4*x*ln(6*x)+1)/(exp(x)-4*ln(6*x)))","B"
10034,1,20,22,0.037000," ","int(((-12*x-24)*ln(x)+6*x^2-18*x-24)*exp((-x^2-4*x)/(3*ln(x)-3*x+6))^2*exp(9*exp((-x^2-4*x)/(3*ln(x)-3*x+6))^2)/(ln(x)^2+(4-2*x)*ln(x)+x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{9 \,{\mathrm e}^{-\frac{2 \left(4+x \right) x}{3 \left(2+\ln \left(x \right)-x \right)}}}$&$20$\\ \hline \end{longtable}"," ",0,"exp(9*exp(-2/3*(4+x)*x/(2+ln(x)-x)))","A"
10035,1,82,25,0.134000," ","int(((-2*x^4-16*x^3-20*x^2+50*x)*ln(x)^4+(4*x^3+40*x^2+100*x)*ln(x)^3+((2*x^4+2*x^3-30*x^2)*exp(x)+4*x^3+14*x^2-20*x)*ln(x)^2+((-4*x^3-20*x^2)*exp(x)-4*x^2-20*x)*ln(x)+4*exp(x)^2*x^3+(-2*x^3+6*x^2)*exp(x)-2*x^2+2*x)*exp(((x^4+10*x^3+25*x^2)*ln(x)^4+((-2*x^4-10*x^3)*exp(x)-2*x^3-10*x^2)*ln(x)^2+exp(x)^2*x^4+2*exp(x)*x^3+x^2)/exp(x)^2)/exp(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-x^{2} \left(-x^{2} \ln \left(x \right)^{4}-10 x \ln \left(x \right)^{4}+2 x^{2} {\mathrm e}^{x} \ln \left(x \right)^{2}-25 \ln \left(x \right)^{4}+10 x \,{\mathrm e}^{x} \ln \left(x \right)^{2}+2 x \ln \left(x \right)^{2}-{\mathrm e}^{2 x} x^{2}+10 \ln \left(x \right)^{2}-2 \,{\mathrm e}^{x} x -1\right) {\mathrm e}^{-2 x}}$&$82$\\ \hline \end{longtable}"," ",0,"exp(-x^2*(-x^2*ln(x)^4-10*x*ln(x)^4+2*x^2*exp(x)*ln(x)^2-25*ln(x)^4+10*x*exp(x)*ln(x)^2+2*x*ln(x)^2-exp(2*x)*x^2+10*ln(x)^2-2*exp(x)*x-1)*exp(-2*x))","B"
10036,1,31,25,0.085000," ","int(((-4*x^3-4*x^2)*ln(x)^2+((24*x^2+24*x)*ln(2)^2-24*x^2)*ln(x)+(-36*x-36)*ln(2)^4+36*x*ln(2)^2-12*x^2)/(x^5*ln(x)^2-6*x^4*ln(2)^2*ln(x)+9*x^3*ln(2)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{4 x +2}{x^{2}}-\frac{12}{x \left(3 \ln \left(2\right)^{2}-x \ln \left(x \right)\right)}$&$31$\\ norman&$\frac{\left(12 \ln \left(2\right)^{2}-12\right) x -4 x^{2} \ln \left(x \right)+6 \ln \left(2\right)^{2}-2 x \ln \left(x \right)}{x^{2} \left(3 \ln \left(2\right)^{2}-x \ln \left(x \right)\right)}$&$48$\\ \hline \end{longtable}"," ",0,"2*(2*x+1)/x^2-12/x/(3*ln(2)^2-x*ln(x))","A"
10037,1,15,16,0.040000," ","int((-24*x+9)/(16*x^4-24*x^3+9*x^2)/exp(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 \,{\mathrm e}^{-3}}{x \left(4 x -3\right)}$&$15$\\ gosper&$\frac{3 \,{\mathrm e}^{-3}}{x \left(4 x -3\right)}$&$17$\\ norman&$\frac{3 \,{\mathrm e}^{-3}}{x \left(4 x -3\right)}$&$17$\\ default&$3 \,{\mathrm e}^{-3} \left(\frac{4}{3 \left(4 x -3\right)}-\frac{1}{3 x}\right)$&$22$\\ \hline \end{longtable}"," ",0,"3/x*exp(-3)/(4*x-3)","A"
10038,1,26,18,0.026000," ","int(-2*x*ln(x)^4-4*x*ln(x)^3+6*x^2*ln(x)^2+4*x^2*ln(x)-4*x^3+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{4}+x -x^{2} \ln \left(x \right)^{4}+2 x^{3} \ln \left(x \right)^{2}$&$26$\\ norman&$-x^{4}+x -x^{2} \ln \left(x \right)^{4}+2 x^{3} \ln \left(x \right)^{2}$&$26$\\ risch&$-x^{4}+x -x^{2} \ln \left(x \right)^{4}+2 x^{3} \ln \left(x \right)^{2}$&$26$\\ \hline \end{longtable}"," ",0,"-x^4+x-x^2*ln(x)^4+2*x^3*ln(x)^2","A"
10039,1,307,22,0.088000," ","int(((4-2*x)*ln(exp(3)*exp(5+x))+12*x-20)*ln(1/5*(2*x^2*ln(exp(3)*exp(5+x))-10*x^2)/exp(x))/(x*ln(exp(3)*exp(5+x))-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(\frac{\left(2 x^{2} \ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-10 x^{2}\right) {\mathrm e}^{-x}}{5}\right) \ln \left(x \right)+2 \ln \left(\frac{\left(2 x^{2} \ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-10 x^{2}\right) {\mathrm e}^{-x}}{5}\right) \ln \left(\ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-5\right)-2 \ln \left(\frac{\left(2 x^{2} \ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-10 x^{2}\right) {\mathrm e}^{-x}}{5}\right) x -x^{2}-2 \left(\ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-5-x \right) \ln \left(\ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-5\right)+4 x \ln \left(x \right)-4 \ln \left(x \right)^{2}-4 \dilog \left(\frac{\ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-5}{\ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-5-x}\right)-4 \ln \left(x \right) \ln \left(\frac{\ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-5}{\ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-5-x}\right)+2 \left(\ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-5\right) \ln \left(\ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-5\right)-2 \ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)+10+2 x -\ln \left(\ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-5\right)^{2}-4 \dilog \left(-\frac{x}{\ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-5-x}\right)-4 \ln \left(\ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-5\right) \ln \left(-\frac{x}{\ln \left({\mathrm e}^{3} {\mathrm e}^{5+x}\right)-5-x}\right)$&$307$\\ \hline \end{longtable}"," ",0,"4*ln(1/5*(2*x^2*ln(exp(3)*exp(5+x))-10*x^2)/exp(x))*ln(x)+2*ln(1/5*(2*x^2*ln(exp(3)*exp(5+x))-10*x^2)/exp(x))*ln(ln(exp(3)*exp(5+x))-5)-2*ln(1/5*(2*x^2*ln(exp(3)*exp(5+x))-10*x^2)/exp(x))*x-x^2-2*(ln(exp(3)*exp(5+x))-5-x)*ln(ln(exp(3)*exp(5+x))-5)+4*x*ln(x)-4*ln(x)^2-4*dilog((ln(exp(3)*exp(5+x))-5)/(ln(exp(3)*exp(5+x))-5-x))-4*ln(x)*ln((ln(exp(3)*exp(5+x))-5)/(ln(exp(3)*exp(5+x))-5-x))+2*(ln(exp(3)*exp(5+x))-5)*ln(ln(exp(3)*exp(5+x))-5)-2*ln(exp(3)*exp(5+x))+10+2*x-ln(ln(exp(3)*exp(5+x))-5)^2-4*dilog(-x/(ln(exp(3)*exp(5+x))-5-x))-4*ln(ln(exp(3)*exp(5+x))-5)*ln(-x/(ln(exp(3)*exp(5+x))-5-x))","C"
10040,1,110,29,0.095000," ","int((-324*x^4-486*x^3+8100*x^2+4050*x)*exp(81*x^2/(x^2*ln(4*x+2)^2+(2*x^3-20*x^2+50*x)*ln(4*x+2)+x^4-20*x^3+150*x^2-500*x+625))/(((2*x^4+x^3)*ln(4*x+2)^3+(6*x^5-57*x^4+120*x^3+75*x^2)*ln(4*x+2)^2+(6*x^6-117*x^5+840*x^4-2550*x^3+2250*x^2+1875*x)*ln(4*x+2)+2*x^7-59*x^6+720*x^5-4625*x^4+16250*x^3-28125*x^2+12500*x+15625)*exp(81*x^2/(x^2*ln(4*x+2)^2+(2*x^3-20*x^2+50*x)*ln(4*x+2)+x^4-20*x^3+150*x^2-500*x+625))+(6*x^4+3*x^3)*ln(4*x+2)^3+(18*x^5-171*x^4+360*x^3+225*x^2)*ln(4*x+2)^2+(18*x^6-351*x^5+2520*x^4-7650*x^3+6750*x^2+5625*x)*ln(4*x+2)+6*x^7-177*x^6+2160*x^5-13875*x^4+48750*x^3-84375*x^2+37500*x+46875),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{81 x^{2}}{\left(\ln \left(4 x +2\right) x +x^{2}-10 x +25\right)^{2}}-\frac{81 x^{2}}{x^{2} \ln \left(4 x +2\right)^{2}+\left(2 x^{3}-20 x^{2}+50 x \right) \ln \left(4 x +2\right)+x^{4}-20 x^{3}+150 x^{2}-500 x +625}+\ln \left({\mathrm e}^{\frac{81 x^{2}}{\left(\ln \left(4 x +2\right) x +x^{2}-10 x +25\right)^{2}}}+3\right)$&$110$\\ \hline \end{longtable}"," ",0,"81*x^2/(ln(4*x+2)*x+x^2-10*x+25)^2-81*x^2/(x^2*ln(4*x+2)^2+(2*x^3-20*x^2+50*x)*ln(4*x+2)+x^4-20*x^3+150*x^2-500*x+625)+ln(exp(81*x^2/(ln(4*x+2)*x+x^2-10*x+25)^2)+3)","B"
10041,1,23,21,0.021000," ","int(1/5*((3*x^4+6*x-48)*ln(x)+3*x^4-16*x^3-3*x+16)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(3 x^{4}-3 x +16\right) \ln \left(x \right)}{5 x^{3}}-\frac{16 \ln \left(x \right)}{5}$&$23$\\ default&$\frac{3 x \ln \left(x \right)}{5}-\frac{16 \ln \left(x \right)}{5}-\frac{3 \ln \left(x \right)}{5 x^{2}}+\frac{16 \ln \left(x \right)}{5 x^{3}}$&$25$\\ norman&$\frac{-\frac{16 x^{3} \ln \left(x \right)}{5}-\frac{3 x \ln \left(x \right)}{5}+\frac{3 x^{4} \ln \left(x \right)}{5}+\frac{16 \ln \left(x \right)}{5}}{x^{3}}$&$29$\\ \hline \end{longtable}"," ",0,"1/5*(3*x^4-3*x+16)/x^3*ln(x)-16/5*ln(x)","A"
10042,1,20,16,0.054000," ","int(1/2*(3*exp(ln(2)-3)*ln(x)*ln(ln(x))+(6*x*exp(ln(2)-3)+6)*ln(x)+3*exp(ln(2)-3))/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$3 x +3 x^{2} {\mathrm e}^{-3}+3 \ln \left(\ln \left(x \right)\right) {\mathrm e}^{-3} x$&$20$\\ risch&$3 x +3 x^{2} {\mathrm e}^{-3}+3 \ln \left(\ln \left(x \right)\right) {\mathrm e}^{-3} x$&$20$\\ norman&$3 x +3 x^{2} {\mathrm e}^{-3}+3 \ln \left(\ln \left(x \right)\right) {\mathrm e}^{-3} x$&$24$\\ \hline \end{longtable}"," ",0,"3*x+3*x^2*exp(-3)+3*ln(ln(x))*exp(-3)*x","A"
10043,1,33,21,0.078000," ","int(((x^2+13*x-180)*ln(5/x)+4*x^3-5*x-90)/((x^2+18*x)*ln(5/x)+4*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -10 \ln \left(x \right)+5 \ln \left(18+x \right)+5 \ln \left(\ln \left(\frac{5}{x}\right)+\frac{4 x^{2}}{18+x}\right)$&$33$\\ norman&$x +10 \ln \left(\frac{5}{x}\right)+5 \ln \left(x \ln \left(\frac{5}{x}\right)+4 x^{2}+18 \ln \left(\frac{5}{x}\right)\right)$&$36$\\ \hline \end{longtable}"," ",0,"x-10*ln(x)+5*ln(18+x)+5*ln(ln(5/x)+4*x^2/(18+x))","A"
10044,1,16,18,0.016000," ","int(4*exp(2)*x+6*x^2-4*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$2 x \left({\mathrm e}^{2} x +x^{2}-x +1\right)$&$16$\\ norman&$\left(2 \,{\mathrm e}^{2}-2\right) x^{2}+2 x +2 x^{3}$&$20$\\ default&$2 x^{2} {\mathrm e}^{2}+2 x^{3}-2 x^{2}+2 x$&$22$\\ risch&$2 x^{2} {\mathrm e}^{2}+2 x^{3}-2 x^{2}+2 x$&$22$\\ \hline \end{longtable}"," ",0,"2*x*(exp(2)*x+x^2-x+1)","A"
10045,1,17,17,0.022000," ","int((ln(x)^2-2*ln(x)-50*x^2*exp(-50*x+25))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{\ln \left(x \right)^{2}}{x}+{\mathrm e}^{-50 x +25}$&$17$\\ risch&$-\frac{\ln \left(x \right)^{2}}{x}+{\mathrm e}^{-50 x +25}$&$17$\\ norman&$\frac{x \,{\mathrm e}^{-50 x +25}-\ln \left(x \right)^{2}}{x}$&$20$\\ \hline \end{longtable}"," ",0,"-ln(x)^2/x+exp(-50*x+25)","A"
10046,1,10,20,0.017000," ","int(-1/2*x*ln(2)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{x \left(x \ln \left(2\right)+4\right)}{4}$&$10$\\ default&$-\frac{x^{2} \ln \left(2\right)}{4}-x$&$12$\\ norman&$-\frac{x^{2} \ln \left(2\right)}{4}-x$&$12$\\ risch&$-\frac{x^{2} \ln \left(2\right)}{4}-x$&$12$\\ \hline \end{longtable}"," ",0,"-1/4*x*(x*ln(2)+4)","A"
10047,1,14,19,0.036000," ","int(1/5*(15*x^2+12*x-6)*exp(x^3+6/5*x^2-6/5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{x^{3}+\frac{6}{5} x^{2}-\frac{6}{5} x}$&$14$\\ norman&${\mathrm e}^{x^{3}+\frac{6}{5} x^{2}-\frac{6}{5} x}$&$14$\\ risch&${\mathrm e}^{\frac{x \left(5 x^{2}+6 x -6\right)}{5}}$&$15$\\ \hline \end{longtable}"," ",0,"exp(x^3+6/5*x^2-6/5*x)","A"
10048,1,18,16,0.023000," ","int(-15*x^2*ln(2)*ln(x^3)+(-15*x^2+45)*ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$45 x \ln \left(2\right)-5 \ln \left(2\right) x^{3} \ln \left(x^{3}\right)$&$18$\\ norman&$45 x \ln \left(2\right)-5 \ln \left(2\right) x^{3} \ln \left(x^{3}\right)$&$18$\\ risch&$45 x \ln \left(2\right)-5 \ln \left(2\right) x^{3} \ln \left(x^{3}\right)$&$18$\\ \hline \end{longtable}"," ",0,"45*x*ln(2)-5*ln(2)*x^3*ln(x^3)","A"
10049,1,28,19,0.024000," ","int((-125*x^4-150*x^3+15*x^2+32*x+4)/(125*x^6+150*x^5+135*x^4+68*x^3+27*x^2+6*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{25 x^{3}+20 x^{2}+4 x}{\left(5 x^{2}+2 x +1\right)^{2}}$&$28$\\ default&$-\frac{25 \left(-x^{3}-\frac{4}{5} x^{2}-\frac{4}{25} x \right)}{\left(5 x^{2}+2 x +1\right)^{2}}$&$29$\\ gosper&$\frac{x \left(5 x +2\right)^{2}}{25 x^{4}+20 x^{3}+14 x^{2}+4 x +1}$&$32$\\ risch&$\frac{x^{3}+\frac{4}{5} x^{2}+\frac{4}{25} x}{x^{4}+\frac{4}{5} x^{3}+\frac{14}{25} x^{2}+\frac{4}{25} x +\frac{1}{25}}$&$34$\\ \hline \end{longtable}"," ",0,"(25*x^3+20*x^2+4*x)/(5*x^2+2*x+1)^2","A"
10050,1,26,16,0.042000," ","int((-2*x*ln(x^2)+x^4-9*x^3+27*x^2-7*x-6)/((x^2-3*x)*ln(x^2)+x^5-5*x^4-9*x^3+72*x^2-81*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-2 \ln \left(x -3\right)+\ln \left(x^{3}-2 x^{2}-15 x +\ln \left(x^{2}\right)+27\right)$&$26$\\ risch&$-2 \ln \left(x -3\right)+\ln \left(x^{3}-2 x^{2}-15 x +\ln \left(x^{2}\right)+27\right)$&$26$\\ \hline \end{longtable}"," ",0,"-2*ln(x-3)+ln(x^3-2*x^2-15*x+ln(x^2)+27)","A"
10051,1,92,23,0.162000," ","int((x*ln(x)*ln(-x*ln(x))*ln(ln(-x*ln(x)))*ln(ln(ln(-x*ln(x))))+(-x^5-4*x^4-x^3-x^2+x)*ln(x)*ln(-x*ln(x))*ln(ln(-x*ln(x)))+ln(x)+1)/(x*ln(x)*ln(-x*ln(x))*ln(ln(-x*ln(x)))*ln(ln(ln(-x*ln(x))))+(-x^5-x^3+x^2)*ln(x)*ln(-x*ln(x))*ln(ln(-x*ln(x)))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(-x^{4}-x^{2}+x +\ln \left(\ln \left(i \pi +\ln \left(x \right)+\ln \left(\ln \left(x \right)\right)-\frac{i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \left(-\mathrm{csgn}\left(i x \ln \left(x \right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \ln \left(x \right)\right)+\mathrm{csgn}\left(i \ln \left(x \right)\right)\right)}{2}+i \pi  \mathrm{csgn}\left(i x \ln \left(x \right)\right)^{2} \left(\mathrm{csgn}\left(i x \ln \left(x \right)\right)-1\right)\right)\right)\right)$&$92$\\ \hline \end{longtable}"," ",0,"x+ln(-x^4-x^2+x+ln(ln(I*Pi+ln(x)+ln(ln(x))-1/2*I*Pi*csgn(I*x*ln(x))*(-csgn(I*x*ln(x))+csgn(I*x))*(-csgn(I*x*ln(x))+csgn(I*ln(x)))+I*Pi*csgn(I*x*ln(x))^2*(csgn(I*x*ln(x))-1))))","C"
10052,1,17,32,0.045000," ","int(1/4*((x^3+x^2)*exp(2+x)^2+(-36*x^2+4)*exp(x))/exp(x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-9 x -\frac{1}{x}+\frac{x \,{\mathrm e}^{4+x}}{4}$&$17$\\ default&$-9 x +\frac{{\mathrm e}^{4} {\mathrm e}^{x}}{4}+\frac{{\mathrm e}^{4} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)}{4}-\frac{1}{x}$&$33$\\ norman&$\frac{\left(-9 \,{\mathrm e}^{x} x^{2}+\frac{{\mathrm e}^{4} {\mathrm e}^{2 x} x^{2}}{4}-{\mathrm e}^{x}\right) {\mathrm e}^{-x}}{x}$&$34$\\ \hline \end{longtable}"," ",0,"-9*x-1/x+1/4*x*exp(4+x)","A"
10053,1,11,22,0.017000," ","int((x-1)*ln(3)+2*x-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(2+\ln \left(3\right)\right) \left(x -2\right) x}{2}$&$11$\\ default&$\ln \left(3\right) \left(\frac{1}{2} x^{2}-x \right)+x^{2}-2 x$&$20$\\ norman&$\left(-2-\ln \left(3\right)\right) x +\left(1+\frac{\ln \left(3\right)}{2}\right) x^{2}$&$20$\\ risch&$\frac{x^{2} \ln \left(3\right)}{2}-x \ln \left(3\right)+x^{2}-2 x$&$20$\\ \hline \end{longtable}"," ",0,"1/2*(2+ln(3))*(x-2)*x","A"
10054,1,32,25,0.061000," ","int(((4*exp((-4*x^2+2)/x^2)+2*x^3)*exp(ln(x^2)+1)-x^3)/x^3/exp(ln(x^2)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\frac{{\mathrm e}^{-1-\ln \left(x^{2}\right)+2 \ln \left(x \right)}}{x}-{\mathrm e}^{\frac{2}{x^{2}}-4}$&$32$\\ norman&$\frac{{\mathrm e}^{-1} x^{3}+2 x^{5}-x^{4} {\mathrm e}^{\frac{-4 x^{2}+2}{x^{2}}}}{x^{4}}$&$36$\\ \hline \end{longtable}"," ",0,"2*x+exp(-1-ln(x^2)+2*ln(x))/x-exp(2/x^2-4)","A"
10055,1,24,18,0.034000," ","int((-2*exp(1/2)*ln(5)+8*exp(1/2))*exp((2*x-2)*exp(1/2))+ln(5)-4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-\ln \left(5\right)+4\right) {\mathrm e}^{\left(2 x -2\right) {\mathrm e}^{\frac{1}{2}}}+\left(\ln \left(5\right)-4\right) x$&$24$\\ risch&$-{\mathrm e}^{2 \left(x -1\right) {\mathrm e}^{\frac{1}{2}}} \ln \left(5\right)+x \ln \left(5\right)+4 \,{\mathrm e}^{2 \left(x -1\right) {\mathrm e}^{\frac{1}{2}}}-4 x$&$31$\\ default&$-4 x -{\mathrm e}^{\left(2 x -2\right) {\mathrm e}^{\frac{1}{2}}} \ln \left(5\right)+4 \,{\mathrm e}^{\left(2 x -2\right) {\mathrm e}^{\frac{1}{2}}}+x \ln \left(5\right)$&$33$\\ derivativedivides&$\frac{{\mathrm e}^{-\frac{1}{2}} \left(\ln \left(5\right)-4\right) \left(-2 \,{\mathrm e}^{\frac{1}{2}} {\mathrm e}^{\left(2 x -2\right) {\mathrm e}^{\frac{1}{2}}}+\ln \left({\mathrm e}^{\left(2 x -2\right) {\mathrm e}^{\frac{1}{2}}}\right)\right)}{2}$&$35$\\ \hline \end{longtable}"," ",0,"(-ln(5)+4)*exp((2*x-2)*exp(1/2))+(ln(5)-4)*x","A"
10056,1,16,16,0.124000," ","int(((-x^2-675*x+676)*exp(x-1)+x^3+677*x^2)/(x^3+676*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\ln \left(676+x \right)-\frac{{\mathrm e}^{x -1}}{x}$&$16$\\ derivativedivides&$x -1+\ln \left(676+x \right)-\frac{{\mathrm e}^{x -1}}{x}$&$17$\\ default&$x -1+\ln \left(676+x \right)-\frac{{\mathrm e}^{x -1}}{x}$&$17$\\ norman&$\frac{x^{2}-{\mathrm e}^{x -1}}{x}+\ln \left(676+x \right)$&$20$\\ \hline \end{longtable}"," ",0,"x+ln(676+x)-exp(x-1)/x","A"
10057,1,43,25,0.213000," ","int(((8*ln(2)^2*exp(x)^2+(16*ln(2)^2-48*ln(2))*exp(x)+8*ln(2)^2-48*ln(2)+72)*exp(4*x)^2+ln(2)^2*ln(5)*exp(x))*exp(((exp(x)*ln(2)+ln(2)-3)*exp(4*x)^2-ln(2)*ln(5))/(exp(x)*ln(2)+ln(2)-3))/(ln(2)^2*exp(x)^2+(2*ln(2)^2-6*ln(2))*exp(x)+ln(2)^2-6*ln(2)+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{\ln \left(2\right) \ln \left(5\right)-\ln \left(2\right) {\mathrm e}^{8 x}-\ln \left(2\right) {\mathrm e}^{9 x}+3 \,{\mathrm e}^{8 x}}{{\mathrm e}^{x} \ln \left(2\right)+\ln \left(2\right)-3}}$&$43$\\ \hline \end{longtable}"," ",0,"exp(-(ln(2)*ln(5)-ln(2)*exp(8*x)-ln(2)*exp(9*x)+3*exp(8*x))/(exp(x)*ln(2)+ln(2)-3))","A"
10058,1,28,28,0.046000," ","int(((26*x-13)*exp(x)^2+26*exp(x)*x^2-6*x^4-6*x^3+9*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-2 x^{3}-3 x^{2}+9 x +\frac{13 \,{\mathrm e}^{2 x}}{x}+26 \,{\mathrm e}^{x}$&$28$\\ risch&$-2 x^{3}-3 x^{2}+9 x +\frac{13 \,{\mathrm e}^{2 x}}{x}+26 \,{\mathrm e}^{x}$&$28$\\ norman&$\frac{9 x^{2}-3 x^{3}-2 x^{4}+13 \,{\mathrm e}^{2 x}+26 \,{\mathrm e}^{x} x}{x}$&$32$\\ \hline \end{longtable}"," ",0,"-2*x^3-3*x^2+9*x+13*exp(x)^2/x+26*exp(x)","A"
10059,1,41,28,0.085000," ","int(((-10*x^2+33*x-5)*exp(5)^2-200*x^6+3300*x^5-19650*x^4+49775*x^3-49125*x^2+20625*x-3125)/(8*x^8-132*x^7+786*x^6-1991*x^5+1965*x^4-825*x^3+125*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{100 x^{4}-1100 x^{3}+{\mathrm e}^{10}+3525 x^{2}-2750 x +625}{x \left(2 x^{2}-11 x +5\right)^{2}}$&$41$\\ gosper&$\frac{100 x^{4}-1100 x^{3}+{\mathrm e}^{10}+3525 x^{2}-2750 x +625}{x \left(4 x^{4}-44 x^{3}+141 x^{2}-110 x +25\right)}$&$51$\\ risch&$\frac{100 x^{4}-1100 x^{3}+{\mathrm e}^{10}+3525 x^{2}-2750 x +625}{x \left(4 x^{4}-44 x^{3}+141 x^{2}-110 x +25\right)}$&$52$\\ default&$\frac{8 \,{\mathrm e}^{10}}{81 \left(2 x -1\right)^{2}}-\frac{56 \,{\mathrm e}^{10}}{729 \left(2 x -1\right)}-\frac{-\frac{{\mathrm e}^{10}}{25}-25}{x}+\frac{{\mathrm e}^{10}}{405 \left(x -5\right)^{2}}-\frac{29 \,{\mathrm e}^{10}}{18225 \left(x -5\right)}$&$53$\\ \hline \end{longtable}"," ",0,"(100*x^4-1100*x^3+exp(5)^2+3525*x^2-2750*x+625)/x/(2*x^2-11*x+5)^2","A"
10060,1,13,16,0.051000," ","int(((-3*x^2+12*x)*exp(2)+3)*exp(1/2*(-x^2+8*x)*exp(2)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$3 \,{\mathrm e}^{-\frac{x \left(-8+x \right) {\mathrm e}^{2}}{2}} x$&$13$\\ risch&$3 \,{\mathrm e}^{-\frac{x \left(-8+x \right) {\mathrm e}^{2}}{2}} x$&$13$\\ norman&$3 x \,{\mathrm e}^{\frac{\left(-x^{2}+8 x \right) {\mathrm e}^{2}}{2}}$&$18$\\ default&$\frac{3 \sqrt{\pi}\, {\mathrm e}^{8 \,{\mathrm e}^{2}} \sqrt{2}\, {\mathrm e}^{-1} \erf \left(\frac{\sqrt{2}\, {\mathrm e} x}{2}-2 \,{\mathrm e}^{2} \sqrt{2}\, {\mathrm e}^{-1}\right)}{2}+3 \,{\mathrm e}^{-2} x \,{\mathrm e}^{-\frac{x^{2} {\mathrm e}^{2}}{2}+4 \,{\mathrm e}^{2} x +2}-\frac{3 \,{\mathrm e}^{-2} \sqrt{\pi}\, {\mathrm e}^{2+8 \,{\mathrm e}^{2}} \sqrt{2}\, {\mathrm e}^{-1} \erf \left(\frac{\sqrt{2}\, {\mathrm e} x}{2}-2 \,{\mathrm e}^{2} \sqrt{2}\, {\mathrm e}^{-1}\right)}{2}$&$106$\\ \hline \end{longtable}"," ",0,"3*exp(-1/2*x*(-8+x)*exp(2))*x","A"
10061,1,30,24,0.068000," ","int((((-2*x+2)*exp(1)*exp(x)-8*exp(1))*exp((-2*exp(1)*exp(x)+(16*x+8)*exp(1)-4*x)/x)-x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{\frac{16 x \,{\mathrm e}+8 \,{\mathrm e}-2 \,{\mathrm e}^{x +1}-4 x}{x}}$&$30$\\ norman&$\frac{x \,{\mathrm e}^{\frac{-2 \,{\mathrm e} \,{\mathrm e}^{x}+\left(16 x +8\right) {\mathrm e}-4 x}{x}}-x^{2}}{x}$&$36$\\ \hline \end{longtable}"," ",0,"-x+exp(2*(8*x*exp(1)+4*exp(1)-exp(x+1)-2*x)/x)","A"
10062,1,25,26,0.028000," ","int(((-15*x^3+369*x+12)*ln(x)*ln(ln(x))-15*x^3+149*x^2-369*x-6)/x^3/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{3 \left(5 x^{3}+123 x +2\right) \ln \left(\ln \left(x \right)\right)}{x^{2}}+149 \ln \left(\ln \left(x \right)\right)$&$25$\\ \hline \end{longtable}"," ",0,"-3*(5*x^3+123*x+2)/x^2*ln(ln(x))+149*ln(ln(x))","A"
10063,1,7,6,0.015000," ","int(exp(x)+25/24,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{25 x}{24}+{\mathrm e}^{x}$&$7$\\ norman&$\frac{25 x}{24}+{\mathrm e}^{x}$&$7$\\ risch&$\frac{25 x}{24}+{\mathrm e}^{x}$&$7$\\ derivativedivides&${\mathrm e}^{x}+\frac{25 \ln \left({\mathrm e}^{x}\right)}{24}$&$9$\\ \hline \end{longtable}"," ",0,"25/24*x+exp(x)","A"
10064,1,24,23,0.192000," ","int(((-x-1)*ln(exp(x)^2/x)+x^2*exp(exp(625)+x-3)+2*x-1)/x^2/exp(exp(625)+x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{\ln \left(\frac{{\mathrm e}^{2 x}}{x}\right) {\mathrm e}^{-{\mathrm e}^{625}-x +3}}{x}$&$24$\\ norman&$\frac{\left({\mathrm e}^{x} x^{2}+{\mathrm e}^{-{\mathrm e}^{625}} {\mathrm e}^{3} \ln \left(\frac{{\mathrm e}^{2 x}}{x}\right)\right) {\mathrm e}^{-x}}{x}$&$35$\\ risch&$\frac{2 \ln \left({\mathrm e}^{x}\right) {\mathrm e}^{-{\mathrm e}^{625}-x +3}}{x}-\frac{\left(-2 x^{2} {\mathrm e}^{{\mathrm e}^{625}+x -3}+i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{x}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{x}\right)^{2}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{x}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)-2 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{2}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 x}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 x}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{x}\right)^{2}+i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 x}}{x}\right)^{3}+2 \ln \left(x \right)\right) {\mathrm e}^{-{\mathrm e}^{625}-x +3}}{2 x}$&$201$\\ \hline \end{longtable}"," ",0,"x+ln(exp(x)^2/x)/exp(exp(625)+x-3)/x","A"
10065,1,14,23,0.158000," ","int((-240*x*ln(x)^2+(480*exp(3)-480*x)*ln(x-exp(3))*ln(x))/(x*exp(3)-x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$240 \ln \left(x \right)^{2} \ln \left(x -{\mathrm e}^{3}\right)$&$14$\\ \hline \end{longtable}"," ",0,"240*ln(x)^2*ln(x-exp(3))","A"
10066,1,33,19,0.064000," ","int(1/3*((2*x*exp(5)+2*x^2+2*x)*ln(2)*exp(x)*ln(x)+((4*x+2)*exp(5)+4*x^2+6*x)*ln(2)*exp(x)-17)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(2\right) \left({\mathrm e}^{5}+x \right) {\mathrm e}^{x} \ln \left(x \right)}{3}+\frac{4 \ln \left(2\right) {\mathrm e}^{5+x}}{3}+\frac{4 x \ln \left(2\right) {\mathrm e}^{x}}{3}-\frac{17 \ln \left(x \right)}{3}$&$33$\\ default&$\frac{4 x \ln \left(2\right) {\mathrm e}^{x}}{3}+\frac{4 \,{\mathrm e}^{5} {\mathrm e}^{x} \ln \left(2\right)}{3}+\frac{2 x \ln \left(2\right) {\mathrm e}^{x} \ln \left(x \right)}{3}+\frac{2 \,{\mathrm e}^{5} \ln \left(2\right) {\mathrm e}^{x} \ln \left(x \right)}{3}-\frac{17 \ln \left(x \right)}{3}$&$40$\\ norman&$\frac{4 x \ln \left(2\right) {\mathrm e}^{x}}{3}+\frac{4 \,{\mathrm e}^{5} {\mathrm e}^{x} \ln \left(2\right)}{3}+\frac{2 x \ln \left(2\right) {\mathrm e}^{x} \ln \left(x \right)}{3}+\frac{2 \,{\mathrm e}^{5} \ln \left(2\right) {\mathrm e}^{x} \ln \left(x \right)}{3}-\frac{17 \ln \left(x \right)}{3}$&$40$\\ \hline \end{longtable}"," ",0,"2/3*ln(2)*(exp(5)+x)*exp(x)*ln(x)+4/3*ln(2)*exp(5+x)+4/3*x*ln(2)*exp(x)-17/3*ln(x)","A"
10067,1,60,24,0.067000," ","int((4*x+1)*exp(2*x)^2+(2*(-20*x^2-20*x)*ln(2)+(-40*x^2-40*x)*exp(3)-20*x^2-20*x)*exp(2*x)+300*x^2*ln(2)^2+2*(300*x^2*exp(3)+150*x^2)*ln(2)+300*x^2*exp(3)^2+300*x^2*exp(3)+75*x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x \,{\mathrm e}^{4 x}+\left(100 \,{\mathrm e}^{6}+200 \,{\mathrm e}^{3} \ln \left(2\right)+100 \ln \left(2\right)^{2}+100 \,{\mathrm e}^{3}+100 \ln \left(2\right)+25\right) x^{3}+\left(-20 \,{\mathrm e}^{3}-20 \ln \left(2\right)-10\right) x^{2} {\mathrm e}^{2 x}$&$60$\\ risch&$x \,{\mathrm e}^{4 x}-10 \left(2 \,{\mathrm e}^{3}+2 \ln \left(2\right)+1\right) x^{2} {\mathrm e}^{2 x}+100 x^{3} \ln \left(2\right)^{2}+200 \ln \left(2\right) x^{3} {\mathrm e}^{3}+100 x^{3} \ln \left(2\right)+100 x^{3} {\mathrm e}^{6}+100 x^{3} {\mathrm e}^{3}+25 x^{3}$&$71$\\ derivativedivides&$200 \ln \left(2\right) x^{3} {\mathrm e}^{3}+100 x^{3} \ln \left(2\right)+25 x^{3}+100 x^{3} {\mathrm e}^{3}+100 x^{3} {\mathrm e}^{6}+100 x^{3} \ln \left(2\right)^{2}+x \,{\mathrm e}^{4 x}-10 \,{\mathrm e}^{2 x} x^{2}-20 x^{2} {\mathrm e}^{3} {\mathrm e}^{2 x}-20 \,{\mathrm e}^{2 x} \ln \left(2\right) x^{2}$&$87$\\ default&$200 \ln \left(2\right) x^{3} {\mathrm e}^{3}+100 x^{3} \ln \left(2\right)+25 x^{3}+100 x^{3} {\mathrm e}^{3}+100 x^{3} {\mathrm e}^{6}+100 x^{3} \ln \left(2\right)^{2}+x \,{\mathrm e}^{4 x}-10 \,{\mathrm e}^{2 x} x^{2}-20 x^{2} {\mathrm e}^{3} {\mathrm e}^{2 x}-20 \,{\mathrm e}^{2 x} \ln \left(2\right) x^{2}$&$87$\\ \hline \end{longtable}"," ",0,"x*exp(2*x)^2+(100*exp(3)^2+200*exp(3)*ln(2)+100*ln(2)^2+100*exp(3)+100*ln(2)+25)*x^3+(-20*exp(3)-20*ln(2)-10)*x^2*exp(2*x)","B"
10068,1,20,23,0.040000," ","int((-2*exp(1)^2*exp(x)+2*exp(1)^2)*exp(x-exp(x))^2-2*x+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -x^{2}+{\mathrm e}^{2-2 \,{\mathrm e}^{x}+2 x}$&$20$\\ norman&$2 x -x^{2}+{\mathrm e}^{2} {\mathrm e}^{-2 \,{\mathrm e}^{x}+2 x}$&$24$\\ default&$2 x +2 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{x} {\mathrm e}^{-2 \,{\mathrm e}^{x}}}{2}-\frac{{\mathrm e}^{-2 \,{\mathrm e}^{x}}}{4}\right)-2 \,{\mathrm e}^{2} \left(-\frac{{\mathrm e}^{2 x} {\mathrm e}^{-2 \,{\mathrm e}^{x}}}{2}-\frac{{\mathrm e}^{x} {\mathrm e}^{-2 \,{\mathrm e}^{x}}}{2}-\frac{{\mathrm e}^{-2 \,{\mathrm e}^{x}}}{4}\right)-x^{2}$&$67$\\ \hline \end{longtable}"," ",0,"2*x-x^2+exp(2-2*exp(x)+2*x)","A"
10069,1,18,16,0.034000," ","int((-3*x^3-25*x^2-60*x+300)/(x^4-25*x^3+12*x^2-300*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\ln \left(x \right)-4 \ln \left(x -25\right)+\ln \left(x^{2}+12\right)$&$18$\\ norman&$-\ln \left(x \right)-4 \ln \left(x -25\right)+\ln \left(x^{2}+12\right)$&$18$\\ risch&$-\ln \left(x \right)-4 \ln \left(x -25\right)+\ln \left(x^{2}+12\right)$&$18$\\ \hline \end{longtable}"," ",0,"-ln(x)-4*ln(x-25)+ln(x^2+12)","A"
10070,1,11,17,0.013000," ","int((2*x^3+x^2+6)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}+x -\frac{6}{x}$&$11$\\ risch&$x^{2}+x -\frac{6}{x}$&$11$\\ gosper&$\frac{x^{3}+x^{2}-6}{x}$&$13$\\ norman&$\frac{x^{3}+x^{2}-6}{x}$&$13$\\ \hline \end{longtable}"," ",0,"x^2+x-6/x","A"
10071,1,29,23,0.240000," ","int(((1-2*x)*exp(1)*exp((exp(1)+6*x^2-6*x)/(2*x^2-2*x))+2*x^4-6*x^3+6*x^2-2*x)/(2*x^4-4*x^3+2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\ln \left(x \right)+{\mathrm e}^{\frac{{\mathrm e}+6 x^{2}-6 x}{2 x \left(x -1\right)}}$&$29$\\ norman&$\frac{x^{3}+x^{2} {\mathrm e}^{\frac{{\mathrm e}+6 x^{2}-6 x}{2 x^{2}-2 x}}-x -x \,{\mathrm e}^{\frac{{\mathrm e}+6 x^{2}-6 x}{2 x^{2}-2 x}}}{x \left(x -1\right)}-\ln \left(x \right)$&$77$\\ \hline \end{longtable}"," ",0,"x-ln(x)+exp(1/2*(exp(1)+6*x^2-6*x)/x/(x-1))","A"
10072,1,24,25,0.057000," ","int(((-25*x*ln(3*x)+32*x^2-170*x+25)*exp(x*ln(3*x)-16/25*x^2+29/5*x-5)-700)/(25*exp(x*ln(3*x)-16/25*x^2+29/5*x-5)^2-1400*exp(x*ln(3*x)-16/25*x^2+29/5*x-5)+19600),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{{\mathrm e}^{x \ln \left(3 x \right)-\frac{16 x^{2}}{25}+\frac{29 x}{5}-5}-28}$&$24$\\ risch&$\frac{x}{\left(3 x \right)^{x} {\mathrm e}^{-5-\frac{16}{25} x^{2}+\frac{29}{5} x}-28}$&$24$\\ \hline \end{longtable}"," ",0,"x/(exp(x*ln(3*x)-16/25*x^2+29/5*x-5)-28)","A"
10073,1,289,27,0.255000," ","int((((4*(4*x^2+4*x)*ln(2)^2+2*(12*x^3+16*x^2+4*x)*ln(2)+8*x^4+12*x^3+4*x^2)*exp(x)+4*(2*x^2+2*x)*ln(2)^2+2*(6*x^3+8*x^2+2*x)*ln(2)+4*x^4+6*x^3+2*x^2)*ln((2*exp(x)*x+x)/exp(x))+(4*(-2*x^2-4*x-2)*ln(2)^2+2*(-4*x^3-8*x^2-4*x)*ln(2)-2*x^4-4*x^3-2*x^2)*exp(x)+4*(x^3+x^2-x-1)*ln(2)^2+2*(2*x^4+2*x^3-2*x^2-2*x)*ln(2)+x^5+x^4-x^3-x^2)/(2*exp(x)*x+x)/ln((2*exp(x)*x+x)/exp(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{8 x^{2} \ln \left(2\right)^{2}+8 x^{3} \ln \left(2\right)+2 x^{4}+16 x \ln \left(2\right)^{2}+16 x^{2} \ln \left(2\right)+4 x^{3}+8 \ln \left(2\right)^{2}+8 x \ln \left(2\right)+2 x^{2}}{2 \ln \left(2\right)+2 \ln \left(x \right)-2 \ln \left({\mathrm e}^{x}\right)+2 \ln \left(\frac{1}{2}+{\mathrm e}^{x}\right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \left(\frac{1}{2}+{\mathrm e}^{x}\right) {\mathrm e}^{-x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\frac{1}{2}+{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(i x \left(\frac{1}{2}+{\mathrm e}^{x}\right) {\mathrm e}^{-x}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\frac{1}{2}+{\mathrm e}^{x}\right)\right)^{2}-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\frac{1}{2}+{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(i x \left(\frac{1}{2}+{\mathrm e}^{x}\right) {\mathrm e}^{-x}\right)-i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i \left(\frac{1}{2}+{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\frac{1}{2}+{\mathrm e}^{x}\right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(\frac{1}{2}+{\mathrm e}^{x}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\frac{1}{2}+{\mathrm e}^{x}\right)\right)^{2}-i \pi  \mathrm{csgn}\left(i x \left(\frac{1}{2}+{\mathrm e}^{x}\right) {\mathrm e}^{-x}\right)^{3}-i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\frac{1}{2}+{\mathrm e}^{x}\right)\right)^{3}}$&$289$\\ \hline \end{longtable}"," ",0,"2*(4*x^2*ln(2)^2+4*x^3*ln(2)+x^4+8*x*ln(2)^2+8*x^2*ln(2)+2*x^3+4*ln(2)^2+4*x*ln(2)+x^2)/(2*ln(2)+2*ln(x)-2*ln(exp(x))+2*ln(1/2+exp(x))+I*Pi*csgn(I*x)*csgn(I*x*(1/2+exp(x))*exp(-x))^2+I*Pi*csgn(I*exp(-x)*(1/2+exp(x)))*csgn(I*x*(1/2+exp(x))*exp(-x))^2+I*Pi*csgn(I*exp(-x))*csgn(I*exp(-x)*(1/2+exp(x)))^2-I*Pi*csgn(I*x)*csgn(I*exp(-x)*(1/2+exp(x)))*csgn(I*x*(1/2+exp(x))*exp(-x))-I*Pi*csgn(I*exp(-x))*csgn(I*(1/2+exp(x)))*csgn(I*exp(-x)*(1/2+exp(x)))+I*Pi*csgn(I*(1/2+exp(x)))*csgn(I*exp(-x)*(1/2+exp(x)))^2-I*Pi*csgn(I*x*(1/2+exp(x))*exp(-x))^3-I*Pi*csgn(I*exp(-x)*(1/2+exp(x)))^3)","C"
10074,1,46,24,0.448000," ","int(16/81*(-12*x*exp(16)+4)^4/x^4/exp(16)^4/(1/6561*(3*x^2*exp(16)-x)*(-12*x*exp(16)+4)^8/x^8/exp(16)^8+1/81*(-30*x^2*exp(16)+10*x)*(-12*x*exp(16)+4)^4/x^4/exp(16)^4+75*x^2*exp(16)-25*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{324 \,{\mathrm e}^{64} x^{4}}{20331 x^{4} {\mathrm e}^{64}-27648 \,{\mathrm e}^{48} x^{3}+13824 \,{\mathrm e}^{32} x^{2}-3072 x \,{\mathrm e}^{16}+256}$&$46$\\ risch&$\frac{16 \,{\mathrm e}^{-64} \left(-\frac{6912 \,{\mathrm e}^{112} x^{3}}{63001}+\frac{3456 \,{\mathrm e}^{96} x^{2}}{63001}-\frac{768 \,{\mathrm e}^{80} x}{63001}+\frac{64 \,{\mathrm e}^{64}}{63001}\right)}{81 \left(x^{4} {\mathrm e}^{64}-\frac{1024 \,{\mathrm e}^{48} x^{3}}{753}+\frac{512 \,{\mathrm e}^{32} x^{2}}{753}-\frac{1024 x \,{\mathrm e}^{16}}{6777}+\frac{256}{20331}\right)}$&$58$\\ gosper&$-\frac{1024 \left(108 \,{\mathrm e}^{48} x^{3}-54 \,{\mathrm e}^{32} x^{2}+12 x \,{\mathrm e}^{16}-1\right)}{251 \left(20331 x^{4} {\mathrm e}^{64}-27648 \,{\mathrm e}^{48} x^{3}+13824 \,{\mathrm e}^{32} x^{2}-3072 x \,{\mathrm e}^{16}+256\right)}$&$64$\\ default&$13824 \,{\mathrm e}^{64} \left(\munderset{\textit{\_R} =\RootOf \left(413349561 \textit{\_Z}^{8} {\mathrm e}^{128}-1124222976 \,{\mathrm e}^{112} \textit{\_Z}^{7}+1326523392 \,{\mathrm e}^{96} \textit{\_Z}^{6}-889325568 \,{\mathrm e}^{80} \textit{\_Z}^{5}+371381760 \textit{\_Z}^{4} {\mathrm e}^{64}-99090432 \,{\mathrm e}^{48} \textit{\_Z}^{3}+16515072 \,{\mathrm e}^{32} \textit{\_Z}^{2}-1572864 \textit{\_Z} \,{\mathrm e}^{16}+65536\right)}{\sum}\frac{\left(-27 \,{\mathrm e}^{48} \textit{\_R}^{6}+27 \,{\mathrm e}^{32} \textit{\_R}^{5}-9 \,{\mathrm e}^{16} \textit{\_R}^{4}+\textit{\_R}^{3}\right) \ln \left(x -\textit{\_R} \right)}{-137783187 \textit{\_R}^{7} {\mathrm e}^{128}+327898368 \,{\mathrm e}^{112} \textit{\_R}^{6}-331630848 \,{\mathrm e}^{96} \textit{\_R}^{5}+185276160 \,{\mathrm e}^{80} \textit{\_R}^{4}-61896960 \textit{\_R}^{3} {\mathrm e}^{64}+12386304 \,{\mathrm e}^{48} \textit{\_R}^{2}-1376256 \,{\mathrm e}^{32} \textit{\_R} +65536 \,{\mathrm e}^{16}}\right)$&$157$\\ \hline \end{longtable}"," ",0,"-324*exp(16)^4*x^4/(20331*x^4*exp(16)^4-27648*exp(16)^3*x^3+13824*exp(16)^2*x^2-3072*x*exp(16)+256)","A"
10075,1,22,23,0.059000," ","int(((-x^2-x)*exp(x-5)*exp(ln(2)/x)+(ln(2)+x^2+x)*exp(x-2))/x/exp(ln(2)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{x -5}+2^{-\frac{1}{x}} x \,{\mathrm e}^{x -2}$&$22$\\ norman&$\left(x \,{\mathrm e}^{3} {\mathrm e}^{x -5}-{\mathrm e}^{x -5} {\mathrm e}^{\frac{\ln \left(2\right)}{x}} x \right) {\mathrm e}^{-\frac{\ln \left(2\right)}{x}}$&$34$\\ \hline \end{longtable}"," ",0,"-x*exp(x-5)+1/(2^(1/x))*x*exp(x-2)","A"
10076,1,21,24,0.167000," ","int(((4*x^2-20*x)*ln(x^2)+30*x^3-192*x^2+190*x+100)*exp(((x^2-10*x+25)*ln(x^2)+5*x^3-49*x^2+115*x+25)/exp(4))/x/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \,{\mathrm e}^{\left(x -5\right)^{2} \left(1+\ln \left(x^{2}\right)+5 x \right) {\mathrm e}^{-4}}$&$21$\\ default&$2 \,{\mathrm e}^{\left(\left(x^{2}-10 x +25\right) \ln \left(x^{2}\right)+5 x^{3}-49 x^{2}+115 x +25\right) {\mathrm e}^{-4}}$&$37$\\ norman&$2 \,{\mathrm e}^{\left(\left(x^{2}-10 x +25\right) \ln \left(x^{2}\right)+5 x^{3}-49 x^{2}+115 x +25\right) {\mathrm e}^{-4}}$&$37$\\ \hline \end{longtable}"," ",0,"2*exp((x-5)^2*(1+ln(x^2)+5*x)*exp(-4))","A"
10077,1,27,31,0.229000," ","int(((-20*x^3-260*x^2-500*x+500)*exp(1)-3*x^4-36*x^3-39*x^2+150*x)/(x^3+12*x^2+25*x)/exp(1)/exp(ln((x^2+12*x+25)/x)+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(20 \,{\mathrm e}+3 x \right) {\mathrm e}^{-x -1}}{x^{2}+12 x +25}$&$27$\\ norman&$\frac{\left(3 \,{\mathrm e}^{-1} x +20\right) x \,{\mathrm e}^{-x}}{x^{2}+12 x +25}$&$29$\\ gosper&$\frac{\left(20 \,{\mathrm e}+3 x \right) x \,{\mathrm e}^{-x} {\mathrm e}^{-1}}{x^{2}+12 x +25}$&$32$\\ default&${\mathrm e}^{-1} \left(-\frac{75 \,{\mathrm e}^{-x} \left(-6 x -25\right)}{11 \left(x^{2}+12 x +25\right)}-\frac{39 \,{\mathrm e}^{-x} \left(-47 x -150\right)}{22 \left(x^{2}+12 x +25\right)}+\frac{18 \,{\mathrm e}^{-x} \left(-414 x -1175\right)}{11 \left(x^{2}+12 x +25\right)}+3 \,{\mathrm e}^{-x}-\frac{3 \,{\mathrm e}^{-x} \left(-3793 x -10350\right)}{22 \left(x^{2}+12 x +25\right)}+500 \,{\mathrm e} \left(\frac{{\mathrm e}^{-x} \left(-x -6\right)}{22 x^{2}+264 x +550}+\frac{{\mathrm e}^{6+\sqrt{11}} \expIntegralEi \left(1, x +6+\sqrt{11}\right)}{44}-\frac{\sqrt{11}\, {\mathrm e}^{6+\sqrt{11}} \expIntegralEi \left(1, x +6+\sqrt{11}\right)}{484}+\frac{{\mathrm e}^{6-\sqrt{11}} \expIntegralEi \left(1, x +6-\sqrt{11}\right)}{44}+\frac{\sqrt{11}\, {\mathrm e}^{6-\sqrt{11}} \expIntegralEi \left(1, x +6-\sqrt{11}\right)}{484}\right)+500 \,{\mathrm e} \left(\frac{{\mathrm e}^{-x} \left(-6 x -25\right)}{22 x^{2}+264 x +550}+\frac{3 \,{\mathrm e}^{6+\sqrt{11}} \expIntegralEi \left(1, x +6+\sqrt{11}\right)}{22}+\frac{5 \sqrt{11}\, {\mathrm e}^{6+\sqrt{11}} \expIntegralEi \left(1, x +6+\sqrt{11}\right)}{484}+\frac{3 \,{\mathrm e}^{6-\sqrt{11}} \expIntegralEi \left(1, x +6-\sqrt{11}\right)}{22}-\frac{5 \sqrt{11}\, {\mathrm e}^{6-\sqrt{11}} \expIntegralEi \left(1, x +6-\sqrt{11}\right)}{484}\right)-260 \,{\mathrm e} \left(\frac{{\mathrm e}^{-x} \left(-47 x -150\right)}{22 x^{2}+264 x +550}+\frac{47 \,{\mathrm e}^{6+\sqrt{11}} \expIntegralEi \left(1, x +6+\sqrt{11}\right)}{44}+\frac{107 \sqrt{11}\, {\mathrm e}^{6+\sqrt{11}} \expIntegralEi \left(1, x +6+\sqrt{11}\right)}{484}+\frac{47 \,{\mathrm e}^{6-\sqrt{11}} \expIntegralEi \left(1, x +6-\sqrt{11}\right)}{44}-\frac{107 \sqrt{11}\, {\mathrm e}^{6-\sqrt{11}} \expIntegralEi \left(1, x +6-\sqrt{11}\right)}{484}\right)+20 \,{\mathrm e} \left(\frac{{\mathrm e}^{-x} \left(-414 x -1175\right)}{22 x^{2}+264 x +550}+\frac{109 \,{\mathrm e}^{6+\sqrt{11}} \expIntegralEi \left(1, x +6+\sqrt{11}\right)}{11}+\frac{1291 \sqrt{11}\, {\mathrm e}^{6+\sqrt{11}} \expIntegralEi \left(1, x +6+\sqrt{11}\right)}{484}+\frac{109 \,{\mathrm e}^{6-\sqrt{11}} \expIntegralEi \left(1, x +6-\sqrt{11}\right)}{11}-\frac{1291 \sqrt{11}\, {\mathrm e}^{6-\sqrt{11}} \expIntegralEi \left(1, x +6-\sqrt{11}\right)}{484}\right)\right)$&$513$\\ \hline \end{longtable}"," ",0,"x/(x^2+12*x+25)*(20*exp(1)+3*x)*exp(-x-1)","A"
10078,1,11,9,0.018000," ","int((ln(3*x)-1)/x/ln(3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)-\ln \left(\ln \left(3 x \right)\right)$&$11$\\ derivativedivides&$\ln \left(3 x \right)-\ln \left(\ln \left(3 x \right)\right)$&$13$\\ default&$\ln \left(3 x \right)-\ln \left(\ln \left(3 x \right)\right)$&$13$\\ norman&$\ln \left(3 x \right)-\ln \left(\ln \left(3 x \right)\right)$&$13$\\ \hline \end{longtable}"," ",0,"ln(x)-ln(ln(3*x))","A"
10079,1,26,36,0.052000," ","int((((32*x-8)*ln(x)+32*x^2-8*x)*ln(x+ln(x))+(-256*x^3+160*x^2-120*x+24)*ln(x)-256*x^4-96*x^3-248*x^2+136*x-16)/((6561*x^3*ln(x)+6561*x^4)*ln(x+ln(x))^5+((32805*x^4-98415*x^3)*ln(x)+32805*x^5-98415*x^4)*ln(x+ln(x))^4+((65610*x^5-393660*x^4+590490*x^3)*ln(x)+65610*x^6-393660*x^5+590490*x^4)*ln(x+ln(x))^3+((65610*x^6-590490*x^5+1771470*x^4-1771470*x^3)*ln(x)+65610*x^7-590490*x^6+1771470*x^5-1771470*x^4)*ln(x+ln(x))^2+((32805*x^7-393660*x^6+1771470*x^5-3542940*x^4+2657205*x^3)*ln(x)+32805*x^8-393660*x^7+1771470*x^6-3542940*x^5+2657205*x^4)*ln(x+ln(x))+(6561*x^8-98415*x^7+590490*x^6-1771470*x^5+2657205*x^4-1594323*x^3)*ln(x)+6561*x^9-98415*x^8+590490*x^7-1771470*x^6+2657205*x^5-1594323*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\frac{64}{6561} x^{2}-\frac{32}{6561} x +\frac{4}{6561}}{x^{2} \left(x +\ln \left(x +\ln \left(x \right)\right)-3\right)^{4}}$&$26$\\ \hline \end{longtable}"," ",0,"4/6561*(16*x^2-8*x+1)/x^2/(x+ln(x+ln(x))-3)^4","A"
10080,1,18,21,0.022000," ","int((2*ln(x^2)+44*x-2)/(x*ln(x^2)+11*x^2-3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \ln \left(x \right)+2 \ln \left(11 x -3+\ln \left(x^{2}\right)\right)$&$18$\\ risch&$2 \ln \left(x \right)+2 \ln \left(11 x -3+\ln \left(x^{2}\right)\right)$&$18$\\ default&$2 \ln \left(x \ln \left(x^{2}\right)+11 x^{2}-3 x \right)$&$19$\\ \hline \end{longtable}"," ",0,"2*ln(x)+2*ln(11*x-3+ln(x^2))","A"
10081,1,441,22,0.164000," ","int((((x^2+x)*exp(x)*ln(x)+(x^3+x^2)*exp(x))*ln((10*x^5+10*x^4)/(x+ln(x)))+(-5*x-4)*exp(x)*ln(x)+(-4*x^2-2*x+1)*exp(x))/((x^2+x)*ln(x)+x^3+x^2)/ln((10*x^5+10*x^4)/(x+ln(x)))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i {\mathrm e}^{x}}{\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)+\pi  \mathrm{csgn}\left(i x^{2}\right)^{3}+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)}{x +\ln \left(x \right)}\right)+\pi  \,\mathrm{csgn}\left(i x^{4}\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x^{4} \left(x +1\right)}{x +\ln \left(x \right)}\right)+2 i \ln \left(2\right)+2 i \ln \left(5\right)+\pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)-2 \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{3}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x^{3}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i x^{4} \left(x +1\right)}{x +\ln \left(x \right)}\right)^{3}+\pi  \mathrm{csgn}\left(i x^{4}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \left(x +1\right)}{x +\ln \left(x \right)}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)}{x +\ln \left(x \right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x +1\right)\right) \mathrm{csgn}\left(\frac{i \left(x +1\right)}{x +\ln \left(x \right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{4}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x^{3}\right) \mathrm{csgn}\left(i x^{4}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x^{4}\right) \mathrm{csgn}\left(\frac{i x^{4} \left(x +1\right)}{x +\ln \left(x \right)}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i \left(x +1\right)}{x +\ln \left(x \right)}\right) \mathrm{csgn}\left(\frac{i x^{4} \left(x +1\right)}{x +\ln \left(x \right)}\right)^{2}+\pi  \mathrm{csgn}\left(i x^{3}\right)^{3}-2 i \ln \left(x +\ln \left(x \right)\right)+2 i \ln \left(x +1\right)+8 i \ln \left(x \right)}$&$441$\\ \hline \end{longtable}"," ",0,"2*I*exp(x)/(Pi*csgn(I*x)*csgn(I*x^2)*csgn(I*x^3)+Pi*csgn(I*x^2)^3+Pi*csgn(I*x)*csgn(I*x^3)*csgn(I*x^4)+Pi*csgn(I/(x+ln(x)))*csgn(I*(x+1))*csgn(I*(x+1)/(x+ln(x)))+Pi*csgn(I*x^4)*csgn(I*(x+1)/(x+ln(x)))*csgn(I*x^4/(x+ln(x))*(x+1))+2*I*ln(2)+2*I*ln(5)+Pi*csgn(I*x)^2*csgn(I*x^2)-2*Pi*csgn(I*x)*csgn(I*x^2)^2-Pi*csgn(I*x)*csgn(I*x^3)^2-Pi*csgn(I*x^2)*csgn(I*x^3)^2+Pi*csgn(I*x^4/(x+ln(x))*(x+1))^3+Pi*csgn(I*x^4)^3+Pi*csgn(I*(x+1)/(x+ln(x)))^3-Pi*csgn(I/(x+ln(x)))*csgn(I*(x+1)/(x+ln(x)))^2-Pi*csgn(I*(x+1))*csgn(I*(x+1)/(x+ln(x)))^2-Pi*csgn(I*x)*csgn(I*x^4)^2-Pi*csgn(I*x^3)*csgn(I*x^4)^2-Pi*csgn(I*x^4)*csgn(I*x^4/(x+ln(x))*(x+1))^2-Pi*csgn(I*(x+1)/(x+ln(x)))*csgn(I*x^4/(x+ln(x))*(x+1))^2+Pi*csgn(I*x^3)^3-2*I*ln(x+ln(x))+2*I*ln(x+1)+8*I*ln(x))","C"
10082,0,0,18,0.072000," ","int((((10*x^2+30*x)*ln(x^2)+4*x+12)*ln(ln(x^2))+(50*x^3+150*x^2-25*x)*ln(x^2)+20*x^2+60*x)*exp(1/25*ln(ln(x^2))^2+2/5*x*ln(ln(x^2))+x^2)/(25*x^3+150*x^2+225*x)/ln(x^2),x)","\[\int \frac{\left(\left(\left(10 x^{2}+30 x \right) \ln \left(x^{2}\right)+4 x +12\right) \ln \left(\ln \left(x^{2}\right)\right)+\left(50 x^{3}+150 x^{2}-25 x \right) \ln \left(x^{2}\right)+20 x^{2}+60 x \right) {\mathrm e}^{\frac{\ln \left(\ln \left(x^{2}\right)\right)^{2}}{25}+\frac{2 x \ln \left(\ln \left(x^{2}\right)\right)}{5}+x^{2}}}{\left(25 x^{3}+150 x^{2}+225 x \right) \ln \left(x^{2}\right)}\, dx\]"," ",0,"int((((10*x^2+30*x)*ln(x^2)+4*x+12)*ln(ln(x^2))+(50*x^3+150*x^2-25*x)*ln(x^2)+20*x^2+60*x)*exp(1/25*ln(ln(x^2))^2+2/5*x*ln(ln(x^2))+x^2)/(25*x^3+150*x^2+225*x)/ln(x^2),x)","F"
10083,1,57,29,0.842000," ","int((((-4*x^3*exp(25)+4*x^2*exp(1)-4*x^4)*ln(x^2)+8*x^2*exp(25)^2+(-12*x*exp(1)+8*x^3)*exp(25)+4*exp(1)^2-4*x^2*exp(1))*exp((x^4*ln(x^2)^2+(-4*x^3*exp(25)+2*x^2*exp(1))*ln(x^2)+4*x^2*exp(25)^2-4*x*exp(1)*exp(25)+exp(1)^2)/x^4)+x^5)/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\left(x^{2}\right)^{-\frac{4 \,{\mathrm e}^{25}}{x}} \left(x^{2}\right)^{\frac{2 \,{\mathrm e}}{x^{2}}} {\mathrm e}^{\frac{x^{4} \ln \left(x^{2}\right)^{2}+4 x^{2} {\mathrm e}^{50}-4 x \,{\mathrm e}^{26}+{\mathrm e}^{2}}{x^{4}}}$&$57$\\ \hline \end{longtable}"," ",0,"x-(x^2)^(-4*exp(25)/x)*(x^2)^(2*exp(1)/x^2)*exp((x^4*ln(x^2)^2+4*x^2*exp(50)-4*x*exp(26)+exp(2))/x^4)","A"
10084,1,36,30,0.276000," ","int(1/2*((((2*x+2)*ln(3)+3*x^2+4*x)*exp(1/2*(-x^2-2*x)*ln(3)-1/2*x^3-x^2)+2)*exp(-exp(1/2*(-x^2-2*x)*ln(3)-1/2*x^3-x^2)+x)-4)*exp(-exp(-exp(1/2*(-x^2-2*x)*ln(3)-1/2*x^3-x^2)+x)+2*x)+2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -{\mathrm e}^{-{\mathrm e}^{-3^{-\frac{x \left(2+x \right)}{2}} {\mathrm e}^{-\frac{x^{2} \left(2+x \right)}{2}}+x}+2 x}$&$36$\\ default&$2 x -{\mathrm e}^{-{\mathrm e}^{-{\mathrm e}^{\frac{\left(-x^{2}-2 x \right) \ln \left(3\right)}{2}-\frac{x^{3}}{2}-x^{2}}+x}+2 x}$&$44$\\ norman&$2 x -{\mathrm e}^{-{\mathrm e}^{-{\mathrm e}^{\frac{\left(-x^{2}-2 x \right) \ln \left(3\right)}{2}-\frac{x^{3}}{2}-x^{2}}+x}+2 x}$&$44$\\ \hline \end{longtable}"," ",0,"2*x-exp(-exp(-3^(-1/2*x*(2+x))*exp(-1/2*x^2*(2+x))+x)+2*x)","A"
10085,1,23,19,0.033000," ","int(((8*x+3)*exp(x)+x^3-5*x^2)/((2*x^2+x)*exp(x)-x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x +3 \ln \left(x \right)+\ln \left(x^{2}-2 \,{\mathrm e}^{x} x -{\mathrm e}^{x}\right)$&$23$\\ risch&$3 \ln \left(x \right)+\ln \left(2 x +1\right)-x +\ln \left({\mathrm e}^{x}-\frac{x^{2}}{2 x +1}\right)$&$31$\\ \hline \end{longtable}"," ",0,"-x+3*ln(x)+ln(x^2-2*exp(x)*x-exp(x))","A"
10086,1,31,28,0.055000," ","int((((-9*x^4-3*x^2+2*x)*exp(x)-3*x^5+9*x^4)*exp(((-3*x^3-3*x)*exp(x)+3*x^3)/exp(x))+3*exp(x)*x^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+x^{2} {\mathrm e}^{-3 x \left({\mathrm e}^{x} x^{2}-x^{2}+{\mathrm e}^{x}\right) {\mathrm e}^{-x}}$&$31$\\ norman&$\left({\mathrm e}^{x} x^{3}+{\mathrm e}^{x} x^{2} {\mathrm e}^{\left(\left(-3 x^{3}-3 x \right) {\mathrm e}^{x}+3 x^{3}\right) {\mathrm e}^{-x}}\right) {\mathrm e}^{-x}$&$43$\\ \hline \end{longtable}"," ",0,"x^3+x^2*exp(-3*x*(exp(x)*x^2-x^2+exp(x))*exp(-x))","A"
10087,1,23,19,0.024000," ","int(1/5*((54*x^2+138*x-12)*exp(3+ln(x))-15*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-3 x +\frac{6 \,{\mathrm e}^{3} \left(3 x^{3}+\frac{23}{2} x^{2}-2 x \right)}{5}$&$23$\\ norman&$\left(-\frac{12 \,{\mathrm e}^{3}}{5}-3\right) x +\frac{69 x^{2} {\mathrm e}^{3}}{5}+\frac{18 x^{3} {\mathrm e}^{3}}{5}$&$24$\\ risch&$\frac{18 x^{3} {\mathrm e}^{3}}{5}+\frac{69 x^{2} {\mathrm e}^{3}}{5}-\frac{12 x \,{\mathrm e}^{3}}{5}-3 x$&$24$\\ \hline \end{longtable}"," ",0,"-3*x+6/5*exp(3)*(3*x^3+23/2*x^2-2*x)","A"
10088,1,32,27,0.043000," ","int((3*ln(x)^2-2*ln(x)+2)*exp(1/2*((-2*ln(-2*exp(1)+1)+3*x+8)*ln(x)-2*x)/ln(x))/(2*ln(x)^2*exp(1/2*((-2*ln(-2*exp(1)+1)+3*x+8)*ln(x)-2*x)/ln(x))-6*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left({\mathrm e}^{\frac{\left(-2 \ln \left(-2 \,{\mathrm e}+1\right)+3 x +8\right) \ln \left(x \right)-2 x}{2 \ln \left(x \right)}}-3\right)$&$32$\\ risch&$\frac{3 x}{2}-\frac{x}{\ln \left(x \right)}-\frac{\left(-2 \ln \left(-2 \,{\mathrm e}+1\right)+3 x +8\right) \ln \left(x \right)-2 x}{2 \ln \left(x \right)}+\ln \left(\frac{{\mathrm e}^{\frac{3 x \ln \left(x \right)+8 \ln \left(x \right)-2 x}{2 \ln \left(x \right)}}}{-2 \,{\mathrm e}+1}-3\right)$&$71$\\ \hline \end{longtable}"," ",0,"ln(exp(1/2*((-2*ln(-2*exp(1)+1)+3*x+8)*ln(x)-2*x)/ln(x))-3)","A"
10089,1,17,18,0.090000," ","int((-2*x-1)/(x*ln(4/5*ln(ln(ln(5)))/x)-2*x^2+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(\frac{4 \ln \left(\ln \left(\ln \left(5\right)\right)\right)}{5 x}\right)+2-2 x \right)$&$17$\\ norman&$\ln \left(2 x -\ln \left(\frac{4 \ln \left(\ln \left(\ln \left(5\right)\right)\right)}{5 x}\right)-2\right)$&$19$\\ \hline \end{longtable}"," ",0,"ln(ln(4/5*ln(ln(ln(5)))/x)+2-2*x)","A"
10090,1,26,22,0.158000," ","int(((4*x^3-x^2)*exp(4*x)-x^4-3*x^2-2*x)*exp(-x^2/(x*exp(4*x)-x^3-x^2+3*x+1))/(x^2*exp(4*x)^2+(-2*x^4-2*x^3+6*x^2+2*x)*exp(4*x)+x^6+2*x^5-5*x^4-8*x^3+7*x^2+6*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{2}}{x^{3}+x^{2}-x \,{\mathrm e}^{4 x}-3 x -1}}$&$26$\\ \hline \end{longtable}"," ",0,"exp(x^2/(x^3+x^2-x*exp(4*x)-3*x-1))","A"
10091,1,72,35,0.052000," ","int(((6*x^3-2*x^2)*exp(x)^4+(-8*x^4+2*x^3-8*x^2+6*x)*exp(x)^2+2*x^5+4*x^3-4*x^2+2*x-4)*exp(ln(-ln(3)^2+3)+x)^2/x^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(-\ln \left(3\right)^{2}+3\right)^{2} {\mathrm e}^{6 x}}{x^{2}}-\frac{2 \left(-\ln \left(3\right)^{2}+3\right)^{2} \left(x^{2}+1\right) {\mathrm e}^{4 x}}{x^{3}}+\frac{\left(-\ln \left(3\right)^{2}+3\right)^{2} \left(x^{4}+2 x^{2}+1\right) {\mathrm e}^{2 x}}{x^{4}}$&$72$\\ default&$-6 \ln \left(3\right)^{2} {\mathrm e}^{2 x}+9 \,{\mathrm e}^{2 x}+\frac{9 \,{\mathrm e}^{2 x}}{x^{4}}+\frac{18 \,{\mathrm e}^{2 x}}{x^{2}}+\ln \left(3\right)^{4} {\mathrm e}^{2 x}+\frac{9 \,{\mathrm e}^{6 x}}{x^{2}}-\frac{18 \,{\mathrm e}^{4 x}}{x}-\frac{18 \,{\mathrm e}^{4 x}}{x^{3}}-\frac{6 \ln \left(3\right)^{2} {\mathrm e}^{2 x}}{x^{4}}+\frac{{\mathrm e}^{6 x} \ln \left(3\right)^{4}}{x^{2}}-\frac{6 \,{\mathrm e}^{6 x} \ln \left(3\right)^{2}}{x^{2}}-\frac{2 \,{\mathrm e}^{4 x} \ln \left(3\right)^{4}}{x}+\frac{12 \,{\mathrm e}^{4 x} \ln \left(3\right)^{2}}{x}-\frac{2 \,{\mathrm e}^{4 x} \ln \left(3\right)^{4}}{x^{3}}+\frac{12 \,{\mathrm e}^{4 x} \ln \left(3\right)^{2}}{x^{3}}+\frac{2 \ln \left(3\right)^{4} {\mathrm e}^{2 x}}{x^{2}}-\frac{12 \ln \left(3\right)^{2} {\mathrm e}^{2 x}}{x^{2}}+\frac{\ln \left(3\right)^{4} {\mathrm e}^{2 x}}{x^{4}}$&$200$\\ \hline \end{longtable}"," ",0,"(-ln(3)^2+3)^2/x^2*exp(6*x)-2*(-ln(3)^2+3)^2*(x^2+1)/x^3*exp(4*x)+(-ln(3)^2+3)^2*(x^4+2*x^2+1)/x^4*exp(2*x)","B"
10092,0,0,21,0.016000," ","int((((2*x^3-26*x^2+24*x)*ln((x^2-2*x+1)/x^2)-2*x^3+26*x^2-24*x)*ln(ln((x^2-2*x+1)/x^2)-1)+2*x^2-48*x+282)/((x^2-x)*ln((x^2-2*x+1)/x^2)-x^2+x),x)","\[\int \frac{\left(\left(2 x^{3}-26 x^{2}+24 x \right) \ln \left(\frac{x^{2}-2 x +1}{x^{2}}\right)-2 x^{3}+26 x^{2}-24 x \right) \ln \left(\ln \left(\frac{x^{2}-2 x +1}{x^{2}}\right)-1\right)+2 x^{2}-48 x +282}{\left(x^{2}-x \right) \ln \left(\frac{x^{2}-2 x +1}{x^{2}}\right)-x^{2}+x}\, dx\]"," ",0,"int((((2*x^3-26*x^2+24*x)*ln((x^2-2*x+1)/x^2)-2*x^3+26*x^2-24*x)*ln(ln((x^2-2*x+1)/x^2)-1)+2*x^2-48*x+282)/((x^2-x)*ln((x^2-2*x+1)/x^2)-x^2+x),x)","F"
10093,1,39,21,0.047000," ","int((36*x^2*exp(exp(x))^2+(-3*exp(x)^2*x^2+(3*x^2-6*x)*exp(x))*exp(exp(x)))/((x^4-48*x^3+576*x^2)*exp(exp(x))^2+(4*x^2-96*x)*exp(x)*exp(exp(x))+4*exp(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{36}{x -24}+\frac{3 x \,{\mathrm e}^{x}}{\left(x -24\right) \left({\mathrm e}^{{\mathrm e}^{x}} x^{2}-24 x \,{\mathrm e}^{{\mathrm e}^{x}}+2 \,{\mathrm e}^{x}\right)}$&$39$\\ \hline \end{longtable}"," ",0,"-36/(x-24)+3*x*exp(x)/(x-24)/(exp(exp(x))*x^2-24*x*exp(exp(x))+2*exp(x))","A"
10094,1,17,23,0.026000," ","int((-9*x*ln(x)^2-9*exp(5)+9)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-9 x \ln \left(x \right)-9+9 \,{\mathrm e}^{5}}{\ln \left(x \right)}$&$17$\\ default&$-9 x +\frac{9 \,{\mathrm e}^{5}}{\ln \left(x \right)}-\frac{9}{\ln \left(x \right)}$&$19$\\ risch&$-9 x +\frac{9 \,{\mathrm e}^{5}}{\ln \left(x \right)}-\frac{9}{\ln \left(x \right)}$&$19$\\ \hline \end{longtable}"," ",0,"(-9*x*ln(x)-9+9*exp(5))/ln(x)","A"
10095,1,27,26,0.030000," ","int((48*x^2*exp(1)^2-6*x-5)/(ln(5)-exp(1)-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(16 x^{2} {\mathrm e}^{2}-3 x -5\right)}{\ln \left(5\right)-{\mathrm e}-1}$&$27$\\ default&$\frac{16 x^{3} {\mathrm e}^{2}-3 x^{2}-5 x}{\ln \left(5\right)-{\mathrm e}-1}$&$30$\\ risch&$-\frac{5 x}{\ln \left(5\right)-{\mathrm e}-1}-\frac{3 x^{2}}{\ln \left(5\right)-{\mathrm e}-1}+\frac{16 \,{\mathrm e}^{2} x^{3}}{\ln \left(5\right)-{\mathrm e}-1}$&$47$\\ norman&$-\frac{5 x}{\ln \left(5\right)-{\mathrm e}-1}-\frac{3 x^{2}}{\ln \left(5\right)-{\mathrm e}-1}+\frac{16 \,{\mathrm e}^{2} x^{3}}{\ln \left(5\right)-{\mathrm e}-1}$&$49$\\ \hline \end{longtable}"," ",0,"x*(16*x^2*exp(1)^2-3*x-5)/(ln(5)-exp(1)-1)","A"
10096,1,1165,26,0.593000," ","int((125*ln(x)^3+(300*x+1500)*ln(x)^2+(-35*x^3+240*x^2+2400*x+6000)*ln(x)-12*x^4-56*x^3+960*x^2+4800*x+8000)/(125*x*ln(x)^3+(300*x^2+1500*x)*ln(x)^2+(-5*x^4+240*x^3+2400*x^2+6000*x)*ln(x)-4*x^5+44*x^4+960*x^3+4800*x^2+8000*x)/ln((625*x*ln(x)^4+(2000*x^2+10000*x)*ln(x)^3+(-50*x^4+2400*x^3+24000*x^2+60000*x)*ln(x)^2+(-80*x^5+880*x^4+19200*x^3+96000*x^2+160000*x)*ln(x)+x^7-32*x^6-64*x^5+4320*x^4+38400*x^3+128000*x^2+160000*x)/(625*ln(x)^4+(2000*x+10000)*ln(x)^3+(2400*x^2+24000*x+60000)*ln(x)^2+(1280*x^3+19200*x^2+96000*x+160000)*ln(x)+256*x^4+5120*x^3+38400*x^2+128000*x+160000)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x^{3}-16 x^{2}+\left(-40 \ln \left(x \right)-160\right) x -25 \ln \left(x \right)^{2}-200 \ln \left(x \right)-400\right)-\frac{i \left(2 i \ln \left(x \right)+\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)^{2}}{\left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}}\right) \mathrm{csgn}\left(\frac{i x \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)^{2}}{\left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{\left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}}\right) \mathrm{csgn}\left(i \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)^{2}}{\left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}}\right)-\pi  \,\mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)\right) \mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{3}\right) \mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}\right)-\pi  \,\mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)\right) \mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{2}\right) \mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{3}\right)+\pi  \mathrm{csgn}\left(i \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)\right)^{2} \mathrm{csgn}\left(i \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)^{2}\right)+\pi  \,\mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)\right) \mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{3}\right) \mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}\right)^{2}-\pi  \mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)\right)^{2} \mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{2}\right)+2 \pi  \,\mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)\right) \mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{2}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)\right) \mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{3}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{2}\right) \mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{3}\right)^{2}+2 \pi  \,\mathrm{csgn}\left(i \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)\right) \mathrm{csgn}\left(i \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)^{2}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i}{\left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}}\right) \mathrm{csgn}\left(\frac{i \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)^{2}}{\left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)^{2}}{\left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}}\right)^{2}-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)^{2}}{\left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}}\right)^{2}-\pi  \,\mathrm{csgn}\left(\frac{i \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)^{2}}{\left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}}\right) \mathrm{csgn}\left(\frac{i x \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)^{2}}{\left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}}\right)^{2}-16 i \ln \left(2\right)-8 i \ln \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)+\pi  \mathrm{csgn}\left(i \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)^{2}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i x \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)^{2}}{\left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}}\right)^{3}+\pi  \mathrm{csgn}\left(\frac{i \left(-x^{3}+16 x^{2}-\left(-40 \ln \left(x \right)-160\right) x +25 \ln \left(x \right)^{2}+200 \ln \left(x \right)+400\right)^{2}}{\left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{3}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{4}\right)^{3}-\pi  \mathrm{csgn}\left(i \left(x +\frac{5 \ln \left(x \right)}{4}+5\right)^{2}\right)^{3}\right)}{4}\right)$&$1165$\\ \hline \end{longtable}"," ",0,"ln(ln(x^3-16*x^2+(-40*ln(x)-160)*x-25*ln(x)^2-200*ln(x)-400)-1/4*I*(Pi*csgn(I*x)*csgn(I/(x+5/4*ln(x)+5)^4*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400)^2)*csgn(I*x*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400)^2/(x+5/4*ln(x)+5)^4)+Pi*csgn(I/(x+5/4*ln(x)+5)^4)*csgn(I*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400)^2)*csgn(I/(x+5/4*ln(x)+5)^4*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400)^2)-Pi*csgn(I*(x+5/4*ln(x)+5))*csgn(I*(x+5/4*ln(x)+5)^3)*csgn(I*(x+5/4*ln(x)+5)^4)-Pi*csgn(I*(x+5/4*ln(x)+5))*csgn(I*(x+5/4*ln(x)+5)^2)*csgn(I*(x+5/4*ln(x)+5)^3)+Pi*csgn(I*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400))^2*csgn(I*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400)^2)-16*I*ln(2)-8*I*ln(x+5/4*ln(x)+5)+2*I*ln(x)+Pi*csgn(I*(x+5/4*ln(x)+5))*csgn(I*(x+5/4*ln(x)+5)^4)^2+Pi*csgn(I*(x+5/4*ln(x)+5)^3)*csgn(I*(x+5/4*ln(x)+5)^4)^2-Pi*csgn(I*(x+5/4*ln(x)+5))^2*csgn(I*(x+5/4*ln(x)+5)^2)+2*Pi*csgn(I*(x+5/4*ln(x)+5))*csgn(I*(x+5/4*ln(x)+5)^2)^2+Pi*csgn(I*(x+5/4*ln(x)+5))*csgn(I*(x+5/4*ln(x)+5)^3)^2+Pi*csgn(I*(x+5/4*ln(x)+5)^2)*csgn(I*(x+5/4*ln(x)+5)^3)^2+2*Pi*csgn(I*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400))*csgn(I*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400)^2)^2-Pi*csgn(I/(x+5/4*ln(x)+5)^4)*csgn(I/(x+5/4*ln(x)+5)^4*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400)^2)^2-Pi*csgn(I*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400)^2)*csgn(I/(x+5/4*ln(x)+5)^4*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400)^2)^2-Pi*csgn(I*x)*csgn(I*x*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400)^2/(x+5/4*ln(x)+5)^4)^2-Pi*csgn(I/(x+5/4*ln(x)+5)^4*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400)^2)*csgn(I*x*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400)^2/(x+5/4*ln(x)+5)^4)^2+Pi*csgn(I*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400)^2)^3+Pi*csgn(I*x*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400)^2/(x+5/4*ln(x)+5)^4)^3+Pi*csgn(I/(x+5/4*ln(x)+5)^4*(-x^3+16*x^2-(-40*ln(x)-160)*x+25*ln(x)^2+200*ln(x)+400)^2)^3-Pi*csgn(I*(x+5/4*ln(x)+5)^3)^3-Pi*csgn(I*(x+5/4*ln(x)+5)^4)^3-Pi*csgn(I*(x+5/4*ln(x)+5)^2)^3))","C"
10097,1,56,20,0.535000," ","int(((-3*x^3-18*x^2-36*x-24)*exp(x+1)^3+(36*x^2+180*x+216)*exp(x+1)^2)/((x^6+15*x^5+93*x^4+305*x^3+558*x^2+540*x+216)*exp(x+1)^3+(36*x^4+360*x^3+1332*x^2+2160*x+1296)*exp(x+1)^2+(432*x^2+2160*x+2592)*exp(x+1)+1728),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{6 \,{\mathrm e}^{2 x +2}+6 x \,{\mathrm e}^{2 x +2}+\frac{3 x^{2} {\mathrm e}^{2 x +2}}{2}}{\left(x^{2} {\mathrm e}^{x +1}+5 x \,{\mathrm e}^{x +1}+6 \,{\mathrm e}^{x +1}+12\right)^{2}}$&$56$\\ risch&$\frac{3}{2 \left(x^{2}+6 x +9\right)}-\frac{36 \left(x^{2} {\mathrm e}^{x +1}+5 x \,{\mathrm e}^{x +1}+6 \,{\mathrm e}^{x +1}+6\right)}{\left(x^{2}+6 x +9\right) \left(x^{2} {\mathrm e}^{x +1}+5 x \,{\mathrm e}^{x +1}+6 \,{\mathrm e}^{x +1}+12\right)^{2}}$&$74$\\ \hline \end{longtable}"," ",0,"(6*exp(x+1)^2+6*x*exp(x+1)^2+3/2*x^2*exp(x+1)^2)/(x^2*exp(x+1)+5*x*exp(x+1)+6*exp(x+1)+12)^2","B"
10098,1,36,20,0.038000," ","int((2*x^7+17*x^6+9*x^5-190*x^4-199*x^3+812*x^2+573*x-1387)/(x^7+8*x^6+3*x^5-89*x^4-85*x^3+376*x^2+251*x-630),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x +\ln \left(x^{5}+7 x^{4}+x^{3}-55 x^{2}-25 x +126\right)-2 \ln \left(x^{2}+x -5\right)$&$36$\\ norman&$2 x +\ln \left(x^{5}+7 x^{4}+x^{3}-55 x^{2}-25 x +126\right)-2 \ln \left(x^{2}+x -5\right)$&$36$\\ risch&$2 x +\ln \left(x^{5}+7 x^{4}+x^{3}-55 x^{2}-25 x +126\right)-2 \ln \left(x^{2}+x -5\right)$&$36$\\ \hline \end{longtable}"," ",0,"2*x+ln(x^5+7*x^4+x^3-55*x^2-25*x+126)-2*ln(x^2+x-5)","A"
10099,1,50,26,0.048000," ","int(((exp(x)^2*x^4+(2*x^5-4*x^4-3*x^3+3*x^2)*exp(x)+x^6-4*x^5+2*x^4+6*x^3-5*x^2-4*x+6)*ln(x)^2+(exp(x)^2*x^4+(2*x^5-4*x^4-2*x^3+4*x^2)*exp(x)+x^6-4*x^5+2*x^4+8*x^3-7*x^2-4*x+4)*ln(x)-exp(x)^2*x^4+(-2*x^5+4*x^4+2*x^3-4*x^2)*exp(x)-x^6+4*x^5-2*x^4-8*x^3+7*x^2+4*x-4)/(exp(x)^2*x^4+(2*x^5-4*x^4-2*x^3+4*x^2)*exp(x)+x^6-4*x^5+2*x^4+8*x^3-7*x^2-4*x+4)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \left(x^{3}+{\mathrm e}^{x} x^{2}-2 x^{2}-x +3\right)}{{\mathrm e}^{x} x^{2}+x^{3}-2 x^{2}-x +2}+\frac{x}{\ln \left(x \right)}$&$50$\\ \hline \end{longtable}"," ",0,"x*(x^3+exp(x)*x^2-2*x^2-x+3)/(exp(x)*x^2+x^3-2*x^2-x+2)+x/ln(x)","A"
10100,1,6,7,0.012000," ","int(1/2/exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x \,{\mathrm e}^{-2}}{2}$&$6$\\ default&$\frac{x \,{\mathrm e}^{-2}}{2}$&$8$\\ norman&$\frac{x \,{\mathrm e}^{-2}}{2}$&$8$\\ \hline \end{longtable}"," ",0,"1/2*x*exp(-2)","A"
10101,1,13,19,0.016000," ","int((-3*exp(25/12)*ln(2)-2*exp(25/12))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{{\mathrm e}^{\frac{25}{12}} \left(3 \ln \left(2\right)+2\right)}{x}$&$13$\\ norman&$\frac{3 \,{\mathrm e}^{\frac{25}{12}} \ln \left(2\right)+2 \,{\mathrm e}^{\frac{25}{12}}}{x}$&$16$\\ default&$-\frac{-3 \,{\mathrm e}^{\frac{25}{12}} \ln \left(2\right)-2 \,{\mathrm e}^{\frac{25}{12}}}{x}$&$17$\\ risch&$\frac{3 \,{\mathrm e}^{\frac{25}{12}} \ln \left(2\right)}{x}+\frac{2 \,{\mathrm e}^{\frac{25}{12}}}{x}$&$18$\\ \hline \end{longtable}"," ",0,"exp(25/12)*(3*ln(2)+2)/x","A"
10102,1,15,14,0.086000," ","int(((-4-exp(x))*ln(exp(x)^2+8*exp(x)+16)-2*exp(x)*x)/(exp(x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-x \ln \left({\mathrm e}^{2 x}+8 \,{\mathrm e}^{x}+16\right)$&$15$\\ default&$-2 x \ln \left(1+\frac{{\mathrm e}^{x}}{4}\right)-\left(\ln \left(\left({\mathrm e}^{x}+4\right)^{2}\right)-2 \ln \left({\mathrm e}^{x}+4\right)\right) \ln \left({\mathrm e}^{x}\right)-2 \left(\ln \left({\mathrm e}^{x}+4\right)-\ln \left(1+\frac{{\mathrm e}^{x}}{4}\right)\right) \ln \left(-\frac{{\mathrm e}^{x}}{4}\right)$&$54$\\ risch&$-2 x \ln \left({\mathrm e}^{x}+4\right)+\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+4\right)^{2}\right) \left(\mathrm{csgn}\left(i \left({\mathrm e}^{x}+4\right)\right)^{2}-2 \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+4\right)^{2}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+4\right)\right)+\mathrm{csgn}\left(i \left({\mathrm e}^{x}+4\right)^{2}\right)^{2}\right) x}{2}$&$68$\\ \hline \end{longtable}"," ",0,"-x*ln(exp(x)^2+8*exp(x)+16)","A"
10103,1,57,24,0.045000," ","int((x^8*ln(x)^2+((2*x^5-7*x^4)*ln(5)^2+(8*x^5-28*x^4)*ln(5)+2*x^9-8*x^8+8*x^5-28*x^4)*ln(x)+(x^2-4*x+2)*ln(5)^4+(8*x^2-32*x+16)*ln(5)^3+(2*x^6-16*x^5+27*x^4+24*x^2-96*x+48)*ln(5)^2+(8*x^6-64*x^5+108*x^4+32*x^2-128*x+64)*ln(5)+x^10-8*x^9+16*x^8+8*x^6-64*x^5+108*x^4+16*x^2-64*x+32)/(x^8*ln(x)^2+((2*x^5-4*x^4)*ln(5)^2+(8*x^5-16*x^4)*ln(5)+2*x^9-8*x^8+8*x^5-16*x^4)*ln(x)+(x^2-4*x+4)*ln(5)^4+(8*x^2-32*x+32)*ln(5)^3+(2*x^6-12*x^5+16*x^4+24*x^2-96*x+96)*ln(5)^2+(8*x^6-48*x^5+64*x^4+32*x^2-128*x+128)*ln(5)+x^10-8*x^9+16*x^8+8*x^6-48*x^5+64*x^4+16*x^2-64*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\left(\ln \left(5\right)^{2}+4 \ln \left(5\right)+4\right) x}{x^{4} \ln \left(x \right)+x^{5}-4 x^{4}+x \ln \left(5\right)^{2}-2 \ln \left(5\right)^{2}+4 x \ln \left(5\right)-8 \ln \left(5\right)+4 x -8}$&$57$\\ \hline \end{longtable}"," ",0,"x+(ln(5)^2+4*ln(5)+4)*x/(x^4*ln(x)+x^5-4*x^4+x*ln(5)^2-2*ln(5)^2+4*x*ln(5)-8*ln(5)+4*x-8)","B"
10104,1,35,26,0.046000," ","int(((-6*x^3-40*x^2-50*x+6)*exp(-1/(3*ln(x)-x^3-10*x^2-25*x-9))+(27*x-18)*ln(x)^2+(-18*x^4-168*x^3-330*x^2+138*x+108)*ln(x)+3*x^7+58*x^6+410*x^5+1254*x^4+1379*x^3-260*x^2-657*x-162)/(9*x*ln(x)^2+(-6*x^4-60*x^3-150*x^2-54*x)*ln(x)+x^7+20*x^6+150*x^5+518*x^4+805*x^3+450*x^2+81*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 x -2 \ln \left(x \right)+2 \,{\mathrm e}^{-\frac{1}{3 \ln \left(x \right)-x^{3}-10 x^{2}-25 x -9}}$&$35$\\ \hline \end{longtable}"," ",0,"3*x-2*ln(x)+2*exp(-1/(3*ln(x)-x^3-10*x^2-25*x-9))","A"
10105,1,9,15,0.143000," ","int((x-5)/(x-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -2 \ln \left(x -3\right)$&$9$\\ norman&$x -2 \ln \left(x -3\right)$&$9$\\ risch&$x -2 \ln \left(x -3\right)$&$9$\\ meijerg&$-2 \ln \left(1-\frac{x}{3}\right)+x$&$11$\\ \hline \end{longtable}"," ",0,"x-2*ln(x-3)","A"
10106,1,30,29,0.178000," ","int((((-4*x*ln(5)*exp(2*(3+x)*ln(5)/(6+3*x))^2+(-4*x^2*ln(5)+6*x^3+24*x^2+24*x)*exp(2*(3+x)*ln(5)/(6+3*x))+6*x^4+24*x^3+24*x^2)*exp(exp(2*(3+x)*ln(5)/(6+3*x))^2+2*x*exp(2*(3+x)*ln(5)/(6+3*x))+x^2)+x^2+4*x+4)*exp(3*exp(exp(2*(3+x)*ln(5)/(6+3*x))^2+2*x*exp(2*(3+x)*ln(5)/(6+3*x))+x^2))+2*x^3+10*x^2+16*x+8)/(x^2+4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+x \,{\mathrm e}^{3 \,{\mathrm e}^{\left(5^{\frac{2+\frac{2 x}{3}}{2+x}}+x \right)^{2}}}+2 x$&$30$\\ \hline \end{longtable}"," ",0,"x^2+x*exp(3*exp((5^(2/3*(3+x)/(2+x))+x)^2))+2*x","A"
10107,1,45,30,0.498000," ","int((((4*x+4)*exp(1)+4*x^3)*ln(x^2)^2+((-24*x-24)*exp(1)-24*x^3+4*x)*ln(x^2)+(36*x+36)*exp(1)+36*x^3-20*x)*exp(((3*x*exp(1)+x^3)*ln(x^2)-9*x*exp(1)-3*x^3+3*x)/(3*exp(1)*ln(x^2)-9*exp(1)))/(exp(1)*ln(x^2)^2-6*exp(1)*ln(x^2)+9*exp(1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$4 x \,{\mathrm e}^{\frac{x \left(x^{2} \ln \left(x^{2}\right)+3 \,{\mathrm e} \ln \left(x^{2}\right)-3 x^{2}-9 \,{\mathrm e}+3\right) {\mathrm e}^{-1}}{3 \ln \left(x^{2}\right)-9}}$&$45$\\ \hline \end{longtable}"," ",0,"4*x*exp(1/3*x*(x^2*ln(x^2)+3*exp(1)*ln(x^2)-3*x^2-9*exp(1)+3)*exp(-1)/(ln(x^2)-3))","A"
10108,1,16,18,0.013000," ","int(-2*exp(x^2)*x-2*x+5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{2}+5 x -{\mathrm e}^{x^{2}}$&$16$\\ norman&$-x^{2}+5 x -{\mathrm e}^{x^{2}}$&$16$\\ risch&$-x^{2}+5 x -{\mathrm e}^{x^{2}}$&$16$\\ \hline \end{longtable}"," ",0,"-x^2+5*x-exp(x^2)","A"
10109,1,29,18,0.042000," ","int(1/2*(x*exp(x+1/4)*ln(x)^2+((-2*x^2+6*x)*exp(x+1/4)-2*x+2)*ln(x)+(x^3-6*x^2+4*x)*exp(x+1/4)+2*x^2-8*x+6)*exp(exp(x+1/4))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{2}-2 x \ln \left(x \right)+\ln \left(x \right)^{2}-6 x +6 \ln \left(x \right)+4\right) {\mathrm e}^{{\mathrm e}^{x +\frac{1}{4}}}}{2}$&$29$\\ \hline \end{longtable}"," ",0,"1/2*(x^2-2*x*ln(x)+ln(x)^2-6*x+6*ln(x)+4)*exp(exp(x+1/4))","A"
10110,1,15,20,0.017000," ","int(((-4*x-14)*exp(4)^2-2)/exp(4)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 x^{2}-14 x -2 x \,{\mathrm e}^{-8}$&$15$\\ gosper&$-2 x \left(x \,{\mathrm e}^{8}+7 \,{\mathrm e}^{8}+1\right) {\mathrm e}^{-8}$&$22$\\ default&${\mathrm e}^{-8} \left({\mathrm e}^{8} \left(-2 x^{2}-14 x \right)-2 x \right)$&$24$\\ norman&$\left(-2 x^{2} {\mathrm e}^{4}-2 \left(7 \,{\mathrm e}^{8}+1\right) {\mathrm e}^{-4} x \right) {\mathrm e}^{-4}$&$29$\\ \hline \end{longtable}"," ",0,"-2*x^2-14*x-2*x*exp(-8)","A"
10111,1,33,32,0.194000," ","int(((((256*x^2+5056*x-1280)*exp(4*x)^2+2*x^4+40*x^3)*ln(3/(20+x))+(-768*x^2-15168*x+3840)*exp(4*x)^2-6*x^4-120*x^3)*ln(-ln(3/(20+x))+3)+32*x*exp(4*x)^2+2*x^4)/(((16*x^2+320*x)*exp(4*x)^2+x^5+20*x^4)*ln(3/(20+x))+(-48*x^2-960*x)*exp(4*x)^2-3*x^5-60*x^4)/ln(-ln(3/(20+x))+3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 \ln \left(x \right)+2 \ln \left(\frac{x^{3}}{16}+{\mathrm e}^{8 x}\right)-2 \ln \left(\ln \left(-\ln \left(3\right)+\ln \left(20+x \right)+3\right)\right)$&$33$\\ \hline \end{longtable}"," ",0,"-4*ln(x)+2*ln(1/16*x^3+exp(8*x))-2*ln(ln(-ln(3)+ln(20+x)+3))","A"
10112,1,33,28,0.067000," ","int((-2*x*exp(x)*exp((2*x^2-2*x)/exp(x))^2+((20*x^2-2)*exp(x)-4*x^3+12*x^2-4*x)*exp((2*x^2-2*x)/exp(x))-50*exp(x)*x^3)/(x^4*exp(x)*exp((2*x^2-2*x)/exp(x))^2+(-10*x^5+4*x^3)*exp(x)*exp((2*x^2-2*x)/exp(x))+(25*x^6-20*x^4+4*x^2)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{x^{2}}+\frac{2}{x^{2} \left(5 x^{2}-x \,{\mathrm e}^{2 x \left(x -1\right) {\mathrm e}^{-x}}-2\right)}$&$33$\\ \hline \end{longtable}"," ",0,"1/x^2+2/x^2/(5*x^2-x*exp(2*x*(x-1)*exp(-x))-2)","A"
10113,1,18,18,0.066000," ","int(exp(1/3*exp(2)+2)*exp((-x+259)*exp(1/3*exp(2)+2))/(exp((-x+259)*exp(1/3*exp(2)+2))^2+4*exp((-x+259)*exp(1/3*exp(2)+2))+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{1}{{\mathrm e}^{-\left(x -259\right) {\mathrm e}^{\frac{{\mathrm e}^{2}}{3}+2}}+2}$&$18$\\ derivativedivides&$\frac{1}{{\mathrm e}^{\left(-x +259\right) {\mathrm e}^{\frac{{\mathrm e}^{2}}{3}+2}}+2}$&$19$\\ default&$\frac{1}{{\mathrm e}^{\left(-x +259\right) {\mathrm e}^{\frac{{\mathrm e}^{2}}{3}+2}}+2}$&$19$\\ norman&$\frac{1}{{\mathrm e}^{\left(-x +259\right) {\mathrm e}^{\frac{{\mathrm e}^{2}}{3}+2}}+2}$&$19$\\ \hline \end{longtable}"," ",0,"1/(exp(-(x-259)*exp(1/3*exp(2)+2))+2)","A"
10114,1,28,26,0.149000," ","int((-2*ln(ln(2)/(2*x-6)/ln(6))+(-9*x+27)*exp(1)^2)/(9*x-27)/exp(1)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +\frac{{\mathrm e}^{-2} \ln \left(\frac{\ln \left(2\right)}{2 \left(x -3\right) \left(\ln \left(2\right)+\ln \left(3\right)\right)}\right)^{2}}{9}$&$28$\\ default&$\frac{{\mathrm e}^{-2} \left(-9 \left(x -3\right) {\mathrm e}^{2}+\ln \left(\frac{\ln \left(2\right)}{2 \left(x -3\right) \ln \left(6\right)}\right)^{2}\right)}{9}$&$33$\\ derivativedivides&$-\frac{{\mathrm e}^{-2} \left(9 \left(x -3\right) {\mathrm e}^{2}-\ln \left(\frac{\ln \left(2\right)}{2 \left(x -3\right) \ln \left(6\right)}\right)^{2}\right)}{9}$&$35$\\ norman&$\left(-x \,{\mathrm e}+\frac{{\mathrm e}^{-1} \ln \left(\frac{\ln \left(2\right)}{\left(2 x -6\right) \ln \left(6\right)}\right)^{2}}{9}\right) {\mathrm e}^{-1}$&$35$\\ \hline \end{longtable}"," ",0,"-x+1/9*exp(-2)*ln(1/2*ln(2)/(x-3)/(ln(2)+ln(3)))^2","A"
10115,1,23,20,0.073000," ","int((-80*x*exp(x)^2+80*exp(x)*x+40)*exp(exp(x)^2-2*exp(x)+1)/(225*exp(exp(x)^2-2*exp(x)+1)^2-540*x*exp(exp(x)^2-2*exp(x)+1)+324*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{8 x}{9 \left(6 x -5 \,{\mathrm e}^{{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x}+1}\right)}$&$23$\\ risch&$-\frac{8 x}{9 \left(6 x -5 \,{\mathrm e}^{{\mathrm e}^{2 x}-2 \,{\mathrm e}^{x}+1}\right)}$&$23$\\ \hline \end{longtable}"," ",0,"-8/9*x/(6*x-5*exp(exp(x)^2-2*exp(x)+1))","A"
10116,-1,0,28,180.000000," ","int((-114560*x^5-2864000*x^4-28643205*x^3-143248000*x^2-358240000*x-358400000)*exp((-458240*x^5-10674689*x^4-98920960*x^3-455411200*x^2-1040384000*x-942080000)/(65536*x^4+1310720*x^3+9830400*x^2+32768000*x+40960000))/(16384*x^5+409600*x^4+4096000*x^3+20480000*x^2+51200000*x+51200000),x,method=_RETURNVERBOSE)","\text{hanged}"," ",0,"int((-114560*x^5-2864000*x^4-28643205*x^3-143248000*x^2-358240000*x-358400000)*exp((-458240*x^5-10674689*x^4-98920960*x^3-455411200*x^2-1040384000*x-942080000)/(65536*x^4+1310720*x^3+9830400*x^2+32768000*x+40960000))/(16384*x^5+409600*x^4+4096000*x^3+20480000*x^2+51200000*x+51200000),x,method=_RETURNVERBOSE)","F"
10117,1,68,27,0.306000," ","int((((7+2*x)*exp(3)^2+3*x^2+14*x)*ln(3)^2+((-4*x^2-10*x+14)*exp(3)^2-6*x^3-22*x^2+26*x)*ln(3)+(2*x^3+3*x^2-12*x+7)*exp(3)^2+3*x^4+8*x^3-24*x^2+12*x)/(((x^2+7*x)*exp(3)^2+x^3+7*x^2-2)*ln(3)^2+((-2*x^3-12*x^2+14*x)*exp(3)^2-2*x^4-12*x^3+13*x^2+4*x-4)*ln(3)+(x^4+5*x^3-13*x^2+7*x)*exp(3)^2+x^5+5*x^4-12*x^3+4*x^2+4*x-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(1+\ln \left(3\right)-x \right)+\ln \left(x^{4}+\left(-\ln \left(3\right)+{\mathrm e}^{6}+6\right) x^{3}+\left(-{\mathrm e}^{6} \ln \left(3\right)-7 \ln \left(3\right)+6 \,{\mathrm e}^{6}-6\right) x^{2}+\left(-7 \,{\mathrm e}^{6} \ln \left(3\right)-7 \,{\mathrm e}^{6}-2\right) x +2 \ln \left(3\right)+2\right)$&$68$\\ default&$\ln \left(-\ln \left(3\right) {\mathrm e}^{6} x^{2}+x^{3} {\mathrm e}^{6}-x^{3} \ln \left(3\right)+x^{4}-7 x \,{\mathrm e}^{6} \ln \left(3\right)+6 x^{2} {\mathrm e}^{6}-7 x^{2} \ln \left(3\right)+6 x^{3}-7 x \,{\mathrm e}^{6}-6 x^{2}+2 \ln \left(3\right)-2 x +2\right)-\ln \left(x -\ln \left(3\right)-1\right)$&$83$\\ norman&$-\ln \left(1+\ln \left(3\right)-x \right)+\ln \left(\ln \left(3\right) {\mathrm e}^{6} x^{2}-x^{3} {\mathrm e}^{6}+x^{3} \ln \left(3\right)-x^{4}+7 x \,{\mathrm e}^{6} \ln \left(3\right)-6 x^{2} {\mathrm e}^{6}+7 x^{2} \ln \left(3\right)-6 x^{3}+7 x \,{\mathrm e}^{6}+6 x^{2}-2 \ln \left(3\right)+2 x -2\right)$&$94$\\ \hline \end{longtable}"," ",0,"-ln(1+ln(3)-x)+ln(x^4+(-ln(3)+exp(6)+6)*x^3+(-exp(6)*ln(3)-7*ln(3)+6*exp(6)-6)*x^2+(-7*exp(6)*ln(3)-7*exp(6)-2)*x+2*ln(3)+2)","B"
10118,1,33,29,0.063000," ","int(1/2*(-exp(3)*ln(x)^2+2*ln(x)*exp(3)+2*x^3*exp(3)+10*x^2)/x^2/exp(3)/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{2}}{2 \ln \left(2\right) x}+\frac{x^{2}}{2 \ln \left(2\right)}+\frac{5 \,{\mathrm e}^{-3} x}{\ln \left(2\right)}$&$33$\\ norman&$\frac{\frac{x^{3}}{2 \ln \left(2\right)}+\frac{\ln \left(x \right)^{2}}{2 \ln \left(2\right)}+\frac{5 \,{\mathrm e}^{-3} x^{2}}{\ln \left(2\right)}}{x}$&$38$\\ default&$\frac{{\mathrm e}^{-3} \left(x^{2} {\mathrm e}^{3}-{\mathrm e}^{3} \left(-\frac{\ln \left(x \right)^{2}}{x}-\frac{2 \ln \left(x \right)}{x}-\frac{2}{x}\right)+2 \,{\mathrm e}^{3} \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)+10 x \right)}{2 \ln \left(2\right)}$&$64$\\ \hline \end{longtable}"," ",0,"1/2/ln(2)/x*ln(x)^2+1/2*x^2/ln(2)+5*exp(-3)/ln(2)*x","A"
10119,1,10,9,0.030000," ","int(3/2*x^2/ln(28),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x^{3}}{2 \ln \left(28\right)}$&$10$\\ default&$\frac{x^{3}}{2 \ln \left(28\right)}$&$10$\\ norman&$\frac{x^{3}}{2 \ln \left(28\right)}$&$10$\\ risch&$\frac{x^{3}}{4 \ln \left(2\right)+2 \ln \left(7\right)}$&$15$\\ \hline \end{longtable}"," ",0,"1/2*x^3/ln(28)","A"
10120,1,17,11,0.050000," ","int(exp(ln((2*ln(3)+1)/ln(3))+11+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\ln \left(\frac{2 \ln \left(3\right)+1}{\ln \left(3\right)}\right)+11+x}$&$17$\\ derivativedivides&${\mathrm e}^{\ln \left(\frac{2 \ln \left(3\right)+1}{\ln \left(3\right)}\right)+11+x}$&$17$\\ default&${\mathrm e}^{\ln \left(\frac{2 \ln \left(3\right)+1}{\ln \left(3\right)}\right)+11+x}$&$17$\\ norman&${\mathrm e}^{\ln \left(\frac{2 \ln \left(3\right)+1}{\ln \left(3\right)}\right)+11+x}$&$17$\\ risch&$2 \,{\mathrm e}^{11+x}+\frac{{\mathrm e}^{11+x}}{\ln \left(3\right)}$&$17$\\ meijerg&$-{\mathrm e}^{\ln \left(\frac{2 \ln \left(3\right)+1}{\ln \left(3\right)}\right)+11} \left(1-{\mathrm e}^{x}\right)$&$24$\\ \hline \end{longtable}"," ",0,"exp(ln((2*ln(3)+1)/ln(3))+11+x)","A"
10121,1,20,23,0.384000," ","int(((6*exp(1)+6*x-18)*exp(5+x)+3)/((8*exp(1)^2+(16*x-64)*exp(1)+8*x^2-64*x+128)*exp(5+x)^2+(8*exp(1)^2+(16*x-64)*exp(1)+8*x^2-64*x+128)*exp(5+x)+2*exp(1)^2+(4*x-16)*exp(1)+2*x^2-16*x+32),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{3}{2 \left(2 \,{\mathrm e}^{5+x}+1\right) \left(x +{\mathrm e}-4\right)}$&$20$\\ risch&$-\frac{3}{2 \left(2 \,{\mathrm e}^{5+x}+1\right) \left(x +{\mathrm e}-4\right)}$&$20$\\ \hline \end{longtable}"," ",0,"-3/2/(2*exp(5+x)+1)/(x+exp(1)-4)","A"
10122,1,37,26,0.156000," ","int(((-2*x*exp(3)*(ln(2)+I*Pi)^2*exp(x)+(-2*x*exp(3)-2)*(ln(2)+I*Pi)^2)*exp(exp(x)*exp(3)+x*exp(3))+(10-4*x)*(ln(2)+I*Pi)^2)/(x^3*exp(exp(x)*exp(3)+x*exp(3))^3+(3*x^4-15*x^3)*exp(exp(x)*exp(3)+x*exp(3))^2+(3*x^5-30*x^4+75*x^3)*exp(exp(x)*exp(3)+x*exp(3))+x^6-15*x^5+75*x^4-125*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{-2 i \pi  \ln \left(2\right)+\pi^{2}-\ln \left(2\right)^{2}}{x^{2} \left({\mathrm e}^{{\mathrm e}^{3+x}+x \,{\mathrm e}^{3}}+x -5\right)^{2}}$&$37$\\ \hline \end{longtable}"," ",0,"-(-2*I*Pi*ln(2)+Pi^2-ln(2)^2)/x^2/(exp(exp(3+x)+x*exp(3))+x-5)^2","A"
10123,1,21,20,0.349000," ","int((((-3-x)*ln(3+x)-x)*ln(5*x)^4+(4*x+12)*ln(3+x)*ln(5*x)^3+7*x^2)/((3+x)*ln(5*x)^8+(-14*x^2-42*x)*ln(5*x)^4+49*x^3+147*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(3+x \right) x}{7 x -\ln \left(5 x \right)^{4}}$&$21$\\ \hline \end{longtable}"," ",0,"ln(3+x)/(7*x-ln(5*x)^4)*x","A"
10124,1,22,19,0.684000," ","int(((15*x^2-75*x)*exp(5)-3*x^3+27*x^2-18*x+18)*exp(x)/(3125*x^7*exp(5)^5+(-3125*x^8-18750*x^6)*exp(5)^4+(1250*x^9+15000*x^7+45000*x^5)*exp(5)^3+(-250*x^10-4500*x^8-27000*x^6-54000*x^4)*exp(5)^2+(25*x^11+600*x^9+5400*x^7+21600*x^5+32400*x^3)*exp(5)-x^12-30*x^10-360*x^8-2160*x^6-6480*x^4-7776*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{3 \,{\mathrm e}^{x}}{x \left(5 x \,{\mathrm e}^{5}-x^{2}-6\right)^{4}}$&$22$\\ gosper&$\frac{3 \,{\mathrm e}^{x}}{x \left(625 x^{4} {\mathrm e}^{20}-500 x^{5} {\mathrm e}^{15}+150 x^{6} {\mathrm e}^{10}-20 x^{7} {\mathrm e}^{5}+x^{8}-3000 x^{3} {\mathrm e}^{15}+1800 x^{4} {\mathrm e}^{10}-360 x^{5} {\mathrm e}^{5}+24 x^{6}+5400 x^{2} {\mathrm e}^{10}-2160 x^{3} {\mathrm e}^{5}+216 x^{4}-4320 x \,{\mathrm e}^{5}+864 x^{2}+1296\right)}$&$110$\\ default&$\text{Expression too large to display}$&$14908$\\ \hline \end{longtable}"," ",0,"3*exp(x)/x/(5*x*exp(5)-x^2-6)^4","A"
10125,1,76,22,0.049000," ","int(((512*x^3+512*x^2)*exp(x)^2*ln(x)^2+((128*x^5+128*x^4)*exp(x)^4+(1024*x^4+1152*x^3+128*x^2)*exp(x)^2-256*x-256)*ln(x)+(128*x^6+96*x^5-32*x^4)*exp(x)^4+(512*x^5+640*x^4-128*x^2)*exp(x)^2-256*x^2-384*x-128)/(x^5*exp(x)^4*ln(x)^3+3*x^6*exp(x)^4*ln(x)^2+3*x^7*exp(x)^4*ln(x)+x^8*exp(x)^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{16 \left(8 \,{\mathrm e}^{4 x} x^{5}+8 \ln \left(x \right) {\mathrm e}^{4 x} x^{4}-{\mathrm e}^{4 x} x^{4}+16 \,{\mathrm e}^{2 x} x^{3}+16 \ln \left(x \right) {\mathrm e}^{2 x} x^{2}-4 \,{\mathrm e}^{2 x} x^{2}-4\right) {\mathrm e}^{-4 x}}{x^{4} \left(x +\ln \left(x \right)\right)^{2}}$&$76$\\ \hline \end{longtable}"," ",0,"-16*(8*exp(4*x)*x^5+8*ln(x)*exp(4*x)*x^4-exp(4*x)*x^4+16*exp(2*x)*x^3+16*ln(x)*exp(2*x)*x^2-4*exp(2*x)*x^2-4)/x^4*exp(-4*x)/(x+ln(x))^2","B"
10126,1,39,9,0.075000," ","int(1/2*(x*exp(x)*ln(x^2)*ln(ln(x^2))+2*exp(x))/x/ln(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x} \ln \left(2 \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(-\mathrm{csgn}\left(i x^{2}\right)+\mathrm{csgn}\left(i x \right)\right)^{2}}{2}\right)}{2}$&$39$\\ \hline \end{longtable}"," ",0,"1/2*exp(x)*ln(2*ln(x)-1/2*I*Pi*csgn(I*x^2)*(-csgn(I*x^2)+csgn(I*x))^2)","C"
10127,1,36,31,0.308000," ","int((((4*x^2+50*x-150)*exp(3)+4*x^3+44*x^2-135*x)*ln((2*x+30)*exp(3)+2*x^2+27*x)+(-2*x^2+10*x)*exp(3)-4*x^3-7*x^2+135*x)/(((2*x+30)*exp(3)+2*x^2+27*x)*ln((2*x+30)*exp(3)+2*x^2+27*x)^2+((-4*x^3-40*x^2+300*x)*exp(3)-4*x^4-34*x^3+270*x^2)*ln((2*x+30)*exp(3)+2*x^2+27*x)+(2*x^5+10*x^4-250*x^3+750*x^2)*exp(3)+2*x^6+7*x^5-220*x^4+675*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(x -5\right) x}{x^{2}-5 x -\ln \left(\left(2 x +30\right) {\mathrm e}^{3}+2 x^{2}+27 x \right)}$&$36$\\ norman&$-\frac{\ln \left(\left(2 x +30\right) {\mathrm e}^{3}+2 x^{2}+27 x \right)}{x^{2}-5 x -\ln \left(\left(2 x +30\right) {\mathrm e}^{3}+2 x^{2}+27 x \right)}$&$50$\\ \hline \end{longtable}"," ",0,"-(x-5)*x/(x^2-5*x-ln((2*x+30)*exp(3)+2*x^2+27*x))","A"
10128,1,27,22,0.078000," ","int(((4*x^2+24*x-25)*ln(3)+3)/((4*x^3+5*x^2-17*x+12)*ln(3)-3*x-9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(4 x^{2} \ln \left(3\right)-7 x \ln \left(3\right)+4 \ln \left(3\right)-3\right)-\ln \left(3+x \right)$&$27$\\ norman&$\ln \left(4 x^{2} \ln \left(3\right)-7 x \ln \left(3\right)+4 \ln \left(3\right)-3\right)-\ln \left(3+x \right)$&$27$\\ risch&$-\ln \left(-3-x \right)+\ln \left(-4 x^{2} \ln \left(3\right)+7 x \ln \left(3\right)-4 \ln \left(3\right)+3\right)$&$29$\\ \hline \end{longtable}"," ",0,"ln(4*x^2*ln(3)-7*x*ln(3)+4*ln(3)-3)-ln(3+x)","A"
10129,1,27,25,0.036000," ","int(((8*ln(x)-2*x*exp(2*x+1)-x+1)*exp(exp(2*x+1)+x)+(-8*x+16)*ln(x)+2)*exp(ln(x)^2)^4/(exp(exp(2*x+1)+x)^2+(4-2*x)*exp(exp(2*x+1)+x)+x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x \,{\mathrm e}^{4 \ln \left(x \right)^{2}}}{x -{\mathrm e}^{{\mathrm e}^{2 x +1}+x}-2}$&$27$\\ \hline \end{longtable}"," ",0,"-x*exp(4*ln(x)^2)/(x-exp(exp(2*x+1)+x)-2)","A"
10130,1,8,11,0.021000," ","int((ln(x)+1)/(x*ln(x)-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(x \ln \left(x \right)-2\right)$&$8$\\ default&$\ln \left(x \ln \left(x \right)-2\right)$&$8$\\ norman&$\ln \left(x \ln \left(x \right)-2\right)$&$8$\\ risch&$\ln \left(x \right)+\ln \left(\ln \left(x \right)-\frac{2}{x}\right)$&$13$\\ \hline \end{longtable}"," ",0,"ln(x*ln(x)-2)","A"
10131,0,0,23,0.047000," ","int(((8*x*ln(x)^2+4*x^2*ln(x)-2*x^2+2)*ln(1/4*((-4*x+4)*ln(x)-x^2+1)/ln(x))+(-28*x^2+28*x)*ln(x)^2+(-7*x^3+7*x)*ln(x))/((4*x^2-4*x)*ln(x)^2+(x^3-x)*ln(x)),x)","\[\int \frac{\left(8 x \ln \left(x \right)^{2}+4 x^{2} \ln \left(x \right)-2 x^{2}+2\right) \ln \left(\frac{\left(-4 x +4\right) \ln \left(x \right)-x^{2}+1}{4 \ln \left(x \right)}\right)+\left(-28 x^{2}+28 x \right) \ln \left(x \right)^{2}+\left(-7 x^{3}+7 x \right) \ln \left(x \right)}{\left(4 x^{2}-4 x \right) \ln \left(x \right)^{2}+\left(x^{3}-x \right) \ln \left(x \right)}\, dx\]"," ",0,"int(((8*x*ln(x)^2+4*x^2*ln(x)-2*x^2+2)*ln(1/4*((-4*x+4)*ln(x)-x^2+1)/ln(x))+(-28*x^2+28*x)*ln(x)^2+(-7*x^3+7*x)*ln(x))/((4*x^2-4*x)*ln(x)^2+(x^3-x)*ln(x)),x)","F"
10132,1,31,26,0.066000," ","int(((15*exp(1/5*x)-5*x)*ln(-3/4*exp(2)*ln(2)*exp(1/5*x)+1/4*x*exp(2)*ln(2))*ln(ln(-3/4*exp(2)*ln(2)*exp(1/5*x)+1/4*x*exp(2)*ln(2)))*ln(ln(ln(-3/4*exp(2)*ln(2)*exp(1/5*x)+1/4*x*exp(2)*ln(2))))^2+(-60*exp(1/5*x)+20*x)*ln(-3/4*exp(2)*ln(2)*exp(1/5*x)+1/4*x*exp(2)*ln(2))*ln(ln(-3/4*exp(2)*ln(2)*exp(1/5*x)+1/4*x*exp(2)*ln(2)))*ln(ln(ln(-3/4*exp(2)*ln(2)*exp(1/5*x)+1/4*x*exp(2)*ln(2))))+12*x*exp(1/5*x)-20*x)/(60*exp(1/5*x)-20*x)/ln(-3/4*exp(2)*ln(2)*exp(1/5*x)+1/4*x*exp(2)*ln(2))/ln(ln(-3/4*exp(2)*ln(2)*exp(1/5*x)+1/4*x*exp(2)*ln(2)))/ln(ln(ln(-3/4*exp(2)*ln(2)*exp(1/5*x)+1/4*x*exp(2)*ln(2))))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x}{4}-\frac{x}{\ln \left(\ln \left(\ln \left(-\frac{3 \ln \left(2\right) {\mathrm e}^{2+\frac{x}{5}}}{4}+\frac{x \,{\mathrm e}^{2} \ln \left(2\right)}{4}\right)\right)\right)}$&$31$\\ \hline \end{longtable}"," ",0,"1/4*x-x/ln(ln(ln(-3/4*ln(2)*exp(2+1/5*x)+1/4*x*exp(2)*ln(2))))","A"
10133,1,25,28,0.074000," ","int(((3-2*x)*exp(5)*exp(x)^2-exp(x)*x^4-x^4*exp(5)+2*x^4)/x^4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x \,{\mathrm e}^{5}+2 x -\frac{{\mathrm e}^{5+2 x}}{x^{3}}-{\mathrm e}^{x}$&$25$\\ norman&$\frac{\left(2-{\mathrm e}^{5}\right) x^{4}-{\mathrm e}^{5} {\mathrm e}^{2 x}-{\mathrm e}^{x} x^{3}}{x^{3}}$&$31$\\ default&$2 x +3 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{2 x}}{3 x^{3}}-\frac{{\mathrm e}^{2 x}}{3 x^{2}}-\frac{2 \,{\mathrm e}^{2 x}}{3 x}-\frac{4 \expIntegralEi \left(1, -2 x \right)}{3}\right)-2 \,{\mathrm e}^{5} \left(-\frac{{\mathrm e}^{2 x}}{2 x^{2}}-\frac{{\mathrm e}^{2 x}}{x}-2 \expIntegralEi \left(1, -2 x \right)\right)-x \,{\mathrm e}^{5}-{\mathrm e}^{x}$&$83$\\ \hline \end{longtable}"," ",0,"-x*exp(5)+2*x-1/x^3*exp(5+2*x)-exp(x)","A"
10134,1,28,26,0.074000," ","int(((x^2-3*x-4)*ln(x+1)+((-x^3+3*x^2+4*x)*exp(x+7)+3*x^2-10*x-8)*ln(x)+(-x^2+3*x+4)*exp(x+7)+x^3-4*x^2-5*x)/(x^3-3*x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -\ln \left(x -4\right)-\ln \left(x \right) {\mathrm e}^{x +7}+\ln \left(x \right)^{2}+\ln \left(x \right) \ln \left(x +1\right)$&$28$\\ risch&$x -\ln \left(x -4\right)-\ln \left(x \right) {\mathrm e}^{x +7}+\ln \left(x \right)^{2}+\ln \left(x \right) \ln \left(x +1\right)$&$28$\\ \hline \end{longtable}"," ",0,"x-ln(x-4)-ln(x)*exp(x+7)+ln(x)^2+ln(x)*ln(x+1)","A"
10135,1,27,26,0.142000," ","int(((-2*x^3+x^2+2)*exp(x^2-x-1)-12*x^2-32*x+8)*exp((-exp(x^2-x-1)+4*x+8)/(20*x^4+80*x^2+80))/(20*x^6+120*x^4+240*x^2+160),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{-{\mathrm e}^{x^{2}-x -1}+4 x +8}{20 \left(x^{2}+2\right)^{2}}}$&$27$\\ norman&$\frac{x^{4} {\mathrm e}^{\frac{-{\mathrm e}^{x^{2}-x -1}+4 x +8}{20 x^{4}+80 x^{2}+80}}+4 x^{2} {\mathrm e}^{\frac{-{\mathrm e}^{x^{2}-x -1}+4 x +8}{20 x^{4}+80 x^{2}+80}}+4 \,{\mathrm e}^{\frac{-{\mathrm e}^{x^{2}-x -1}+4 x +8}{20 x^{4}+80 x^{2}+80}}}{\left(x^{2}+2\right)^{2}}$&$117$\\ \hline \end{longtable}"," ",0,"exp(1/20*(-exp(x^2-x-1)+4*x+8)/(x^2+2)^2)","A"
10136,1,25,17,0.233000," ","int((-x-1)*exp(3)*exp(exp(3)*ln((-3*exp(1-x)+x)/exp(1-x)))/(3*exp(1-x)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{{\mathrm e}^{3} \ln \left(\left(-3 \,{\mathrm e}^{1-x}+x \right) {\mathrm e}^{x -1}\right)}$&$25$\\ risch&${\mathrm e}^{-\frac{{\mathrm e}^{3} \left(i \pi  \mathrm{csgn}\left(i \left(-3 \,{\mathrm e}^{1-x}+x \right) {\mathrm e}^{x -1}\right)^{3}-i \pi  \mathrm{csgn}\left(i \left(-3 \,{\mathrm e}^{1-x}+x \right) {\mathrm e}^{x -1}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{x -1}\right)-i \pi  \mathrm{csgn}\left(i \left(-3 \,{\mathrm e}^{1-x}+x \right) {\mathrm e}^{x -1}\right)^{2} \mathrm{csgn}\left(i \left(-3 \,{\mathrm e}^{1-x}+x \right)\right)+i \pi  \,\mathrm{csgn}\left(i \left(-3 \,{\mathrm e}^{1-x}+x \right) {\mathrm e}^{x -1}\right) \mathrm{csgn}\left(i {\mathrm e}^{x -1}\right) \mathrm{csgn}\left(i \left(-3 \,{\mathrm e}^{1-x}+x \right)\right)+2 \ln \left({\mathrm e}^{1-x}\right)-2 \ln \left(-3 \,{\mathrm e}^{1-x}+x \right)\right)}{2}}$&$167$\\ \hline \end{longtable}"," ",0,"exp(exp(3)*ln((-3*exp(1-x)+x)/exp(1-x)))","A"
10137,1,14,15,0.029000," ","int((-3*ln(x)^2-6*ln(x))/(exp(2)-7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{3 x \ln \left(x \right)^{2}}{{\mathrm e}^{2}-7}$&$14$\\ norman&$-\frac{3 x \ln \left(x \right)^{2}}{{\mathrm e}^{2}-7}$&$14$\\ risch&$-\frac{3 x \ln \left(x \right)^{2}}{{\mathrm e}^{2}-7}$&$14$\\ \hline \end{longtable}"," ",0,"-3/(exp(2)-7)*x*ln(x)^2","A"
10138,1,20,12,0.057000," ","int(1/9*((9*x^2-40)*exp(1/9*(9*x^2+20)/x^2)+18*x^3)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}+x \,{\mathrm e}^{\frac{9 x^{2}+20}{9 x^{2}}}$&$20$\\ norman&$\frac{x^{3}+{\mathrm e}^{\frac{9 x^{2}+20}{9 x^{2}}} x^{2}}{x}$&$26$\\ derivativedivides&$x^{2}-\frac{2 i {\mathrm e} \sqrt{\pi}\, \sqrt{5}\, \erf \left(\frac{2 i \sqrt{5}}{3 x}\right)}{3}-{\mathrm e} \left(-{\mathrm e}^{\frac{20}{9 x^{2}}} x -\frac{2 i \sqrt{\pi}\, \sqrt{5}\, \erf \left(\frac{2 i \sqrt{5}}{3 x}\right)}{3}\right)$&$59$\\ default&$x^{2}-\frac{2 i {\mathrm e} \sqrt{\pi}\, \sqrt{5}\, \erf \left(\frac{2 i \sqrt{5}}{3 x}\right)}{3}-{\mathrm e} \left(-{\mathrm e}^{\frac{20}{9 x^{2}}} x -\frac{2 i \sqrt{\pi}\, \sqrt{5}\, \erf \left(\frac{2 i \sqrt{5}}{3 x}\right)}{3}\right)$&$59$\\ \hline \end{longtable}"," ",0,"x^2+x*exp(1/9*(9*x^2+20)/x^2)","A"
10139,1,21,20,0.045000," ","int(1/2*((-8*exp(x)*x-2*x^3+10*x^2-6*x)*ln(x)+(-8*x-5)*exp(x)+2*x^2-6*x)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \left(-4 \,{\mathrm e}^{x}+x -3\right) {\mathrm e}^{-x} \ln \left(x \right)-\frac{5 \ln \left(x \right)}{2}$&$21$\\ default&$\frac{\left(-6 x \ln \left(x \right)+2 x^{2} \ln \left(x \right)\right) {\mathrm e}^{-x}}{2}-\frac{5 \ln \left(x \right)}{2}-4 x \ln \left(x \right)$&$30$\\ norman&$\left(x^{2} \ln \left(x \right)-\frac{5 \,{\mathrm e}^{x} \ln \left(x \right)}{2}-3 x \ln \left(x \right)-4 x \,{\mathrm e}^{x} \ln \left(x \right)\right) {\mathrm e}^{-x}$&$31$\\ \hline \end{longtable}"," ",0,"x*(-4*exp(x)+x-3)*exp(-x)*ln(x)-5/2*ln(x)","A"
10140,1,19,18,0.025000," ","int((3*ln(1/2*x^2)+12*x^3-4*x+33)/(3*x*ln(1/2*x^2)+3*x^4-2*x^2+27*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x \right)+\ln \left(x^{3}-\frac{2 x}{3}+\ln \left(\frac{x^{2}}{2}\right)+9\right)$&$19$\\ norman&$\ln \left(x \right)+\ln \left(3 x^{3}+3 \ln \left(\frac{x^{2}}{2}\right)-2 x +27\right)$&$23$\\ derivativedivides&$\ln \left(3 x \ln \left(\frac{x^{2}}{2}\right)+3 x^{4}-2 x^{2}+27 x \right)$&$25$\\ default&$\ln \left(3 x \ln \left(\frac{x^{2}}{2}\right)+3 x^{4}-2 x^{2}+27 x \right)$&$25$\\ \hline \end{longtable}"," ",0,"ln(x)+ln(x^3-2/3*x+ln(1/2*x^2)+9)","A"
10141,1,22,26,0.308000," ","int((((-x^2-6)*ln(4*x^2+24)-x^2+2*x-6)*exp(-ln(ln(4*x^2+24)+1)+x+exp(2))+(x^2+6)*ln(4*x^2+24)+x^2+6)/((x^2+6)*ln(4*x^2+24)+x^2+6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{{\mathrm e}^{x +{\mathrm e}^{2}}}{\ln \left(4 x^{2}+24\right)+1}$&$22$\\ default&$x -\frac{{\mathrm e}^{x +{\mathrm e}^{2}}}{2 \ln \left(2\right)+\ln \left(x^{2}+6\right)+1}$&$24$\\ \hline \end{longtable}"," ",0,"x-1/(ln(4*x^2+24)+1)*exp(x+exp(2))","A"
10142,1,18,16,0.060000," ","int((-150000*x^2*exp(5)^2+390625*x^3)/(4096*exp(5)^6-96000*x*exp(5)^4+750000*x^2*exp(5)^2-1953125*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{3125 x^{3}}{\left(16 \,{\mathrm e}^{10}-125 x \right)^{2}}$&$18$\\ gosper&$-\frac{3125 x^{3}}{256 \,{\mathrm e}^{20}-4000 x \,{\mathrm e}^{10}+15625 x^{2}}$&$27$\\ risch&$-\frac{x}{5}+\frac{\frac{32 \,{\mathrm e}^{30}}{625}-\frac{3 x \,{\mathrm e}^{20}}{5}}{{\mathrm e}^{20}-\frac{125 x \,{\mathrm e}^{10}}{8}+\frac{15625 x^{2}}{256}}$&$31$\\ default&$-\frac{x}{5}-\frac{256 \left(\munderset{\textit{\_R} =\RootOf \left(-4096 \,{\mathrm e}^{30}+96000 \textit{\_Z} \,{\mathrm e}^{20}-750000 \textit{\_Z}^{2} {\mathrm e}^{10}+1953125 \textit{\_Z}^{3}\right)}{\sum}\frac{\left(-375 \textit{\_R} \,{\mathrm e}^{20}+16 \,{\mathrm e}^{30}\right) \ln \left(x -\textit{\_R} \right)}{256 \,{\mathrm e}^{20}-4000 \textit{\_R} \,{\mathrm e}^{10}+15625 \textit{\_R}^{2}}\right)}{1875}$&$67$\\ \hline \end{longtable}"," ",0,"-3125*x^3/(16*exp(5)^2-125*x)^2","A"
10143,1,61,28,0.193000," ","int(((-2*x+2)*ln(5)^2*exp(x)^2+((2*x^2-2)*ln(2)*ln(5)^2+(2*x^2-2)*ln(5))*exp(x)+(-2*x^2+2*x)*ln(2)^2*ln(5)^2+(-4*x^2+4*x)*ln(2)*ln(5)-2*x^2+3*x)*exp(-ln(5)^2*exp(x)^2+(2*x*ln(2)*ln(5)^2+2*x*ln(5))*exp(x)-x^2*ln(2)^2*ln(5)^2-2*x^2*ln(2)*ln(5)-x^2+x-4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(x -1\right) \left(\frac{1}{4}\right)^{x^{2} \ln \left(5\right)} 4^{x \ln \left(5\right)^{2} {\mathrm e}^{x}} 25^{{\mathrm e}^{x} x} {\mathrm e}^{-x^{2} \ln \left(2\right)^{2} \ln \left(5\right)^{2}-4-\ln \left(5\right)^{2} {\mathrm e}^{2 x}-x^{2}+x}$&$61$\\ norman&$x \,{\mathrm e}^{-\ln \left(5\right)^{2} {\mathrm e}^{2 x}+\left(2 x \ln \left(2\right) \ln \left(5\right)^{2}+2 x \ln \left(5\right)\right) {\mathrm e}^{x}-x^{2} \ln \left(2\right)^{2} \ln \left(5\right)^{2}-2 x^{2} \ln \left(2\right) \ln \left(5\right)-x^{2}+x -4}-{\mathrm e}^{-\ln \left(5\right)^{2} {\mathrm e}^{2 x}+\left(2 x \ln \left(2\right) \ln \left(5\right)^{2}+2 x \ln \left(5\right)\right) {\mathrm e}^{x}-x^{2} \ln \left(2\right)^{2} \ln \left(5\right)^{2}-2 x^{2} \ln \left(2\right) \ln \left(5\right)-x^{2}+x -4}$&$124$\\ \hline \end{longtable}"," ",0,"(x-1)*(1/4)^(x^2*ln(5))*4^(x*ln(5)^2*exp(x))*25^(exp(x)*x)*exp(-x^2*ln(2)^2*ln(5)^2-4-ln(5)^2*exp(2*x)-x^2+x)","B"
10144,1,2139,22,0.839000," ","int(((2*ln(x)*ln(4/ln(x)^2)^2+2*x*ln(x))*ln(2/(x*ln(4/ln(x)^2)^2+x^2))-2*ln(x)*ln(4/ln(x)^2)^2+8*ln(4/ln(x)^2)-4*x*ln(x))/(ln(x)*ln(4/ln(x)^2)^2+x*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\text{Expression too large to display}$&$2139$\\ \hline \end{longtable}"," ",0,"-2*x*ln(-4*x+32*ln(2)*ln(ln(x))-16*ln(2)^2-16*ln(ln(x))^2+Pi^2*csgn(I*ln(x)^2)^6+16*I*Pi*ln(2)*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-8*I*Pi*ln(2)*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+8*I*Pi*ln(ln(x))*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-8*I*Pi*ln(2)*csgn(I*ln(x)^2)^3+Pi^2*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2-4*Pi^2*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3+6*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4-4*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^5-16*I*Pi*ln(ln(x))*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+8*I*Pi*ln(ln(x))*csgn(I*ln(x)^2)^3)-2*I*Pi*x*csgn(I/(4*x-32*ln(2)*ln(ln(x))+16*ln(2)^2+16*ln(ln(x))^2-Pi^2*csgn(I*ln(x)^2)^6-16*I*Pi*ln(2)*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+8*I*Pi*ln(2)*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-8*I*Pi*ln(ln(x))*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+8*I*Pi*ln(2)*csgn(I*ln(x)^2)^3-Pi^2*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2+4*Pi^2*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3-6*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4+4*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^5+16*I*Pi*ln(ln(x))*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-8*I*Pi*ln(ln(x))*csgn(I*ln(x)^2)^3)/x)^2-I*Pi*x*csgn(I/x)*csgn(I/(4*x-32*ln(2)*ln(ln(x))+16*ln(2)^2+16*ln(ln(x))^2-Pi^2*csgn(I*ln(x)^2)^6-16*I*Pi*ln(2)*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+8*I*Pi*ln(2)*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-8*I*Pi*ln(ln(x))*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+8*I*Pi*ln(2)*csgn(I*ln(x)^2)^3-Pi^2*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2+4*Pi^2*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3-6*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4+4*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^5+16*I*Pi*ln(ln(x))*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-8*I*Pi*ln(ln(x))*csgn(I*ln(x)^2)^3))*csgn(I/(4*x-32*ln(2)*ln(ln(x))+16*ln(2)^2+16*ln(ln(x))^2-Pi^2*csgn(I*ln(x)^2)^6-16*I*Pi*ln(2)*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+8*I*Pi*ln(2)*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-8*I*Pi*ln(ln(x))*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+8*I*Pi*ln(2)*csgn(I*ln(x)^2)^3-Pi^2*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2+4*Pi^2*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3-6*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4+4*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^5+16*I*Pi*ln(ln(x))*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-8*I*Pi*ln(ln(x))*csgn(I*ln(x)^2)^3)/x)+I*Pi*x*csgn(I/x)*csgn(I/(4*x-32*ln(2)*ln(ln(x))+16*ln(2)^2+16*ln(ln(x))^2-Pi^2*csgn(I*ln(x)^2)^6-16*I*Pi*ln(2)*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+8*I*Pi*ln(2)*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-8*I*Pi*ln(ln(x))*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+8*I*Pi*ln(2)*csgn(I*ln(x)^2)^3-Pi^2*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2+4*Pi^2*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3-6*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4+4*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^5+16*I*Pi*ln(ln(x))*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-8*I*Pi*ln(ln(x))*csgn(I*ln(x)^2)^3)/x)^2-I*Pi*x*csgn(I/(4*x-32*ln(2)*ln(ln(x))+16*ln(2)^2+16*ln(ln(x))^2-Pi^2*csgn(I*ln(x)^2)^6-16*I*Pi*ln(2)*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+8*I*Pi*ln(2)*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-8*I*Pi*ln(ln(x))*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+8*I*Pi*ln(2)*csgn(I*ln(x)^2)^3-Pi^2*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2+4*Pi^2*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3-6*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4+4*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^5+16*I*Pi*ln(ln(x))*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-8*I*Pi*ln(ln(x))*csgn(I*ln(x)^2)^3))*csgn(I/(4*x-32*ln(2)*ln(ln(x))+16*ln(2)^2+16*ln(ln(x))^2-Pi^2*csgn(I*ln(x)^2)^6-16*I*Pi*ln(2)*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+8*I*Pi*ln(2)*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-8*I*Pi*ln(ln(x))*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+8*I*Pi*ln(2)*csgn(I*ln(x)^2)^3-Pi^2*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2+4*Pi^2*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3-6*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4+4*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^5+16*I*Pi*ln(ln(x))*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-8*I*Pi*ln(ln(x))*csgn(I*ln(x)^2)^3)/x)^2-I*Pi*x*csgn(I/(4*x-32*ln(2)*ln(ln(x))+16*ln(2)^2+16*ln(ln(x))^2-Pi^2*csgn(I*ln(x)^2)^6-16*I*Pi*ln(2)*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+8*I*Pi*ln(2)*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-8*I*Pi*ln(ln(x))*csgn(I*ln(x))^2*csgn(I*ln(x)^2)+8*I*Pi*ln(2)*csgn(I*ln(x)^2)^3-Pi^2*csgn(I*ln(x))^4*csgn(I*ln(x)^2)^2+4*Pi^2*csgn(I*ln(x))^3*csgn(I*ln(x)^2)^3-6*Pi^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)^4+4*Pi^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^5+16*I*Pi*ln(ln(x))*csgn(I*ln(x))*csgn(I*ln(x)^2)^2-8*I*Pi*ln(ln(x))*csgn(I*ln(x)^2)^3)/x)^3+2*I*Pi*x+6*x*ln(2)-2*x*ln(x)","C"
10145,1,29,23,0.217000," ","int(((-exp(x)*x^2+3*x^2+x+25)*exp((x*ln(x)-exp(x)*x-exp(2)*x+3*x^2-9*x-25)/x)+x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +x \,{\mathrm e}^{-\frac{{\mathrm e}^{2} x +{\mathrm e}^{x} x -3 x^{2}+9 x +25}{x}}$&$29$\\ norman&$\frac{x^{2}+x \,{\mathrm e}^{\frac{x \ln \left(x \right)-{\mathrm e}^{x} x -{\mathrm e}^{2} x +3 x^{2}-9 x -25}{x}}}{x}$&$40$\\ \hline \end{longtable}"," ",0,"x+x*exp(-(exp(2)*x+exp(x)*x-3*x^2+9*x+25)/x)","A"
10146,1,15,14,0.023000," ","int(6/5*exp(2)*ln(3)+1/5*(-4*x-18)*exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 x \,{\mathrm e}^{2} \left(3 \ln \left(3\right)-9-x \right)}{5}$&$15$\\ risch&$\frac{6 x \,{\mathrm e}^{2} \ln \left(3\right)}{5}-\frac{2 x^{2} {\mathrm e}^{2}}{5}-\frac{18 \,{\mathrm e}^{2} x}{5}$&$21$\\ default&$\frac{6 x \,{\mathrm e}^{2} \ln \left(3\right)}{5}+\frac{{\mathrm e}^{2} \left(-2 x^{2}-18 x \right)}{5}$&$22$\\ norman&$\left(\frac{6 \,{\mathrm e}^{2} \ln \left(3\right)}{5}-\frac{18 \,{\mathrm e}^{2}}{5}\right) x -\frac{2 x^{2} {\mathrm e}^{2}}{5}$&$22$\\ \hline \end{longtable}"," ",0,"2/5*x*exp(2)*(3*ln(3)-9-x)","A"
10147,1,35,26,0.138000," ","int(((20*x*ln(2)-4*x^2)*ln(49*x^4)^2+(75*ln(2)-60*x)*ln(49*x^4)-300*ln(2)-225)/(4*x^4*ln(49*x^4)^2+60*x^3*ln(49*x^4)+225*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \ln \left(2\right)-2 x}{2 x^{2}}+\frac{75 \ln \left(2\right)}{2 x^{2} \left(2 \ln \left(49 x^{4}\right) x +15\right)}$&$35$\\ norman&$\frac{15+2 \ln \left(49 x^{4}\right) x -5 \ln \left(49 x^{4}\right) \ln \left(2\right)}{x \left(2 \ln \left(49 x^{4}\right) x +15\right)}$&$39$\\ default&$\frac{1}{x}+\frac{-10 \ln \left(2\right) \ln \left(7\right)-5 \ln \left(2\right) \ln \left(x^{4}\right)}{x \left(4 x \ln \left(7\right)+2 x \ln \left(x^{4}\right)+15\right)}$&$40$\\ \hline \end{longtable}"," ",0,"-1/2*(5*ln(2)-2*x)/x^2+75/2/x^2*ln(2)/(2*ln(49*x^4)*x+15)","A"
10148,1,155,28,0.454000," ","int((((x+1)*ln(x)*ln(x/ln(x))+ln(x)^3+(2*x-1)*ln(x)^2+(x^2-x+1)*ln(x)+x)*exp((-2*exp((ln(x/ln(x))+(exp(5)-5)*ln(x)+x*exp(5)-5*x)/(x+ln(x)))+x)/exp((ln(x/ln(x))+(exp(5)-5)*ln(x)+x*exp(5)-5*x)/(x+ln(x))))+(ln(x)^3+2*x*ln(x)^2+x^2*ln(x))*exp((ln(x/ln(x))+(exp(5)-5)*ln(x)+x*exp(5)-5*x)/(x+ln(x))))/(ln(x)^3+2*x*ln(x)^2+x^2*ln(x))/exp((ln(x/ln(x))+(exp(5)-5)*ln(x)+x*exp(5)-5*x)/(x+ln(x))),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{\left(x \ln \left(x \right)^{\frac{1}{x +\ln \left(x \right)}} x^{\frac{4}{x +\ln \left(x \right)}} {\mathrm e}^{-\frac{-i \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i x}{\ln \left(x \right)}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i}{\ln \left(x \right)}\right)+2 x \,{\mathrm e}^{5}-10 x}{2 \left(x +\ln \left(x \right)\right)}}-2 x^{\frac{{\mathrm e}^{5}}{x +\ln \left(x \right)}}\right) x^{-\frac{{\mathrm e}^{5}}{x +\ln \left(x \right)}}}$&$155$\\ \hline \end{longtable}"," ",0,"x+exp((x*ln(x)^(1/(x+ln(x)))*(x^(1/(x+ln(x))))^4*exp(-1/2*(-I*Pi*csgn(I*x/ln(x))^3+I*Pi*csgn(I*x/ln(x))^2*csgn(I*x)+I*Pi*csgn(I*x/ln(x))^2*csgn(I/ln(x))-I*Pi*csgn(I*x/ln(x))*csgn(I*x)*csgn(I/ln(x))+2*x*exp(5)-10*x)/(x+ln(x)))-2*x^(1/(x+ln(x))*exp(5)))/(x^(1/(x+ln(x))*exp(5))))","C"
10149,1,48,23,0.217000," ","int((((-4*x^2+12*x-8)*exp(x)^2+(4*x^3-12*x^2+8*x)*exp(x))*ln(-48*x+96)+(16*x^2-50*x+32)*exp(x)^2+(-16*x^3+52*x^2-32*x)*exp(x)-2*x^3)/(x^4-2*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \,{\mathrm e}^{x} \left(2 x -{\mathrm e}^{x}\right) \ln \left(-48 x +96\right)}{x^{2}}-\frac{2 \left(x^{2} \ln \left(x -2\right)+8 \,{\mathrm e}^{x} x -4 \,{\mathrm e}^{2 x}\right)}{x^{2}}$&$48$\\ default&$\frac{\left(4 \ln \left(48\right)-16\right) {\mathrm e}^{x}+4 \ln \left(2-x \right) {\mathrm e}^{x}}{x}+\frac{\left(-2 \ln \left(48\right)+8\right) {\mathrm e}^{2 x}-2 \,{\mathrm e}^{2 x} \ln \left(2-x \right)}{x^{2}}-2 \ln \left(x -2\right)$&$60$\\ \hline \end{longtable}"," ",0,"2*exp(x)*(2*x-exp(x))/x^2*ln(-48*x+96)-2*(x^2*ln(x-2)+8*exp(x)*x-4*exp(2*x))/x^2","B"
10150,1,35,33,0.233000," ","int(((-16*x^5-44*x^4+12*x^3+53*x^2-40*x+2)*exp(4*x)+64*x^4+128*x^3-240*x^2-512*x+32)/((4*x^5+12*x^4-x^3-17*x^2+2*x)*exp(4*x)+64*x^5+192*x^4-16*x^3-272*x^2+32*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\ln \left(x^{2}+x -2\right)+\ln \left(4 x^{3}+8 x^{2}-x \right)-\ln \left({\mathrm e}^{4 x}+16\right)$&$35$\\ norman&$-\ln \left(x -1\right)-\ln \left(2+x \right)-\ln \left({\mathrm e}^{4 x}+16\right)+\ln \left(x \right)+\ln \left(4 x^{2}+8 x -1\right)$&$36$\\ \hline \end{longtable}"," ",0,"-ln(x^2+x-2)+ln(4*x^3+8*x^2-x)-ln(exp(4*x)+16)","A"
10151,1,27,23,0.033000," ","int(1/4*((6*x^5-40*x^4+192*x^3+3)*exp(2)+64*x^3)/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{6}}{4}-2 x^{5}+12 x^{4}+4 \,{\mathrm e}^{-2} x^{4}+\frac{3 x}{4}$&$27$\\ norman&$\frac{3 x}{4}-2 x^{5}+\frac{x^{6}}{4}+4 \left(3 \,{\mathrm e}^{2}+1\right) {\mathrm e}^{-2} x^{4}$&$30$\\ default&$\frac{{\mathrm e}^{-2} \left({\mathrm e}^{2} \left(x^{6}-8 x^{5}+48 x^{4}+3 x \right)+16 x^{4}\right)}{4}$&$33$\\ gosper&$\frac{x \left({\mathrm e}^{2} x^{5}-8 x^{4} {\mathrm e}^{2}+48 x^{3} {\mathrm e}^{2}+16 x^{3}+3 \,{\mathrm e}^{2}\right) {\mathrm e}^{-2}}{4}$&$38$\\ \hline \end{longtable}"," ",0,"1/4*x^6-2*x^5+12*x^4+4*exp(-2)*x^4+3/4*x","A"
10152,1,23,29,0.065000," ","int(((-12*x^3+48*x^2-48*x)*ln(x)^2+((-12*x^2+48*x-48)*exp(2*ln(2)+5)-24*x^3+108*x^2-144*x+48)*ln(x)-3*x)/(x^3-4*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-12 x -24 \,{\mathrm e}^{5}+6\right) \ln \left(x \right)^{2}+\frac{3}{x -2}$&$23$\\ default&$\frac{3}{x -2}-12 x \ln \left(x \right)^{2}-24 \,{\mathrm e}^{5} \ln \left(x \right)^{2}+6 \ln \left(x \right)^{2}$&$30$\\ norman&$\frac{\left(-12+48 \,{\mathrm e}^{5}\right) \ln \left(x \right)^{2}+\left(30-24 \,{\mathrm e}^{5}\right) x \ln \left(x \right)^{2}-12 x^{2} \ln \left(x \right)^{2}+3}{x -2}$&$41$\\ \hline \end{longtable}"," ",0,"(-12*x-24*exp(5)+6)*ln(x)^2+3/(x-2)","A"
10153,1,20,23,0.025000," ","int((4*x-2)*exp(1)+3*x^2-2*x+4,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$x \left(2 x \,{\mathrm e}+x^{2}-2 \,{\mathrm e}-x +4\right)$&$20$\\ norman&$x^{3}+\left(2 \,{\mathrm e}-1\right) x^{2}+\left(-2 \,{\mathrm e}+4\right) x$&$23$\\ default&${\mathrm e} \left(2 x^{2}-2 x \right)+x^{3}-x^{2}+4 x$&$25$\\ risch&$2 x^{2} {\mathrm e}-2 x \,{\mathrm e}+x^{3}-x^{2}+4 x$&$25$\\ \hline \end{longtable}"," ",0,"x*(2*x*exp(1)+x^2-2*exp(1)-x+4)","A"
10154,1,34,24,0.143000," ","int(1/5*(-x^2*exp(1/5*x)*ln(1/4096*x^2)+((x-5)*exp(4)+x^3+5*x^2-10*x)*exp(1/5*x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2} {\mathrm e}^{\frac{x}{5}}+{\mathrm e}^{4} {\mathrm e}^{\frac{x}{5}}-x \,{\mathrm e}^{\frac{x}{5}} \ln \left(\frac{x^{2}}{4096}\right)}{x}$&$34$\\ default&$\frac{5 x^{2} {\mathrm e}^{\frac{x}{5}}+5 \,{\mathrm e}^{4} {\mathrm e}^{\frac{x}{5}}-5 \left(\ln \left(\frac{x^{2}}{4096}\right)-2 \ln \left(x \right)\right) x \,{\mathrm e}^{\frac{x}{5}}-10 \ln \left(x \right) {\mathrm e}^{\frac{x}{5}} x}{5 x}$&$51$\\ risch&$-2 \,{\mathrm e}^{\frac{x}{5}} \ln \left(x \right)+\frac{\left(i \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right) x -2 i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2} x +i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} x +24 x \ln \left(2\right)+2 x^{2}+2 \,{\mathrm e}^{4}\right) {\mathrm e}^{\frac{x}{5}}}{2 x}$&$86$\\ \hline \end{longtable}"," ",0,"(x^2*exp(1/5*x)+exp(4)*exp(1/5*x)-x*exp(1/5*x)*ln(1/4096*x^2))/x","A"
10155,1,20,18,0.068000," ","int((-2*x*ln(2)-6*x+8)/(2*x^2*ln(2)+80*x^3+6*x^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(x \right)+\ln \left(-2+40 x^{2}+x \left(3+\ln \left(2\right)\right)\right)$&$20$\\ default&$-2 \ln \left(x \right)+\ln \left(x \ln \left(2\right)+40 x^{2}+3 x -2\right)$&$21$\\ norman&$-2 \ln \left(x \right)+\ln \left(x \ln \left(2\right)+40 x^{2}+3 x -2\right)$&$21$\\ \hline \end{longtable}"," ",0,"-2*ln(x)+ln(-2+40*x^2+x*(3+ln(2)))","A"
10156,1,52,21,0.454000," ","int(1/9*(-4*exp(2)^2*exp(1/exp(ln(16*x^2)-2))^2+(6*x*exp(2)*exp(x)*exp(ln(16*x^2)-2)-12*exp(2)*exp(x))*exp(1/exp(ln(16*x^2)-2))+18*x*exp(x)^2*exp(ln(16*x^2)-2))/x/exp(ln(16*x^2)-2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{2 \,{\mathrm e}^{2} {\mathrm e}^{x} {\mathrm e}^{\frac{{\mathrm e}^{2}}{16 x^{2}}}}{3}+{\mathrm e}^{2 x}+\frac{{\mathrm e}^{4} {\mathrm e}^{\frac{{\mathrm e}^{2}}{8 x^{2}}}}{9}$&$52$\\ risch&$\frac{{\mathrm e}^{-\frac{{\mathrm e}^{2} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}}{2}}-32 x^{2}}{8 x^{2}}}}{9}+\frac{2 \,{\mathrm e}^{-\frac{{\mathrm e}^{2} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}}{2}}-16 x^{3}-32 x^{2}}{16 x^{2}}}}{3}+{\mathrm e}^{2 x}$&$111$\\ \hline \end{longtable}"," ",0,"2/3*exp(2)*exp(x)*exp(1/x^2/exp(-2+ln(16*x^2)-2*ln(x)))+exp(x)^2+1/9*exp(2)^2*exp(1/exp(ln(16*x^2)-2))^2","B"
10157,1,32,31,0.300000," ","int((((-16*x^3-32*x)*ln(3)*exp(x)+(32*x^4+16*x^3+60*x^2+32*x+8)*ln(3))*exp(-4*exp(x)+4*x^2+4*x)+(-5*x^4-20*x^2-20)*ln(3))/(4*x^4+16*x^2+16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 x \ln \left(3\right)}{4}+\frac{\ln \left(3\right) x \,{\mathrm e}^{-4 \,{\mathrm e}^{x}+4 x^{2}+4 x}}{x^{2}+2}$&$32$\\ norman&$\frac{x \ln \left(3\right) {\mathrm e}^{-4 \,{\mathrm e}^{x}+4 x^{2}+4 x}-\frac{5 x \ln \left(3\right)}{2}-\frac{5 x^{3} \ln \left(3\right)}{4}}{x^{2}+2}$&$40$\\ \hline \end{longtable}"," ",0,"-5/4*x*ln(3)+ln(3)*x/(x^2+2)*exp(-4*exp(x)+4*x^2+4*x)","A"
10158,1,16,15,0.109000," ","int(1/4*((-8+x)*exp(1/4*x)*ln(1/4*ln(2))+(16*x-128)*exp(1/4*x))/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{\left(16+\ln \left(\frac{\ln \left(2\right)}{4}\right)\right) {\mathrm e}^{\frac{x}{4}}}{x^{2}}$&$16$\\ norman&$\frac{\left(-2 \ln \left(2\right)+\ln \left(\ln \left(2\right)\right)+16\right) {\mathrm e}^{\frac{x}{4}}}{x^{2}}$&$18$\\ risch&$-\frac{\left(2 \ln \left(2\right)-\ln \left(\ln \left(2\right)\right)-16\right) {\mathrm e}^{\frac{x}{4}}}{x^{2}}$&$21$\\ derivativedivides&$\frac{16 \,{\mathrm e}^{\frac{x}{4}}}{x^{2}}-\frac{2 \,{\mathrm e}^{\frac{x}{4}} \ln \left(2\right)}{x^{2}}+\frac{{\mathrm e}^{\frac{x}{4}} \ln \left(\ln \left(2\right)\right)}{x^{2}}$&$33$\\ default&$\frac{16 \,{\mathrm e}^{\frac{x}{4}}}{x^{2}}-\frac{2 \,{\mathrm e}^{\frac{x}{4}} \ln \left(2\right)}{x^{2}}+\frac{{\mathrm e}^{\frac{x}{4}} \ln \left(\ln \left(2\right)\right)}{x^{2}}$&$33$\\ meijerg&$-4 \left(\frac{1}{4}+\frac{\ln \left(\frac{\ln \left(2\right)}{4}\right)}{64}\right) \left(-\frac{2 \left(2+\frac{x}{2}\right)}{x}+\frac{4 \,{\mathrm e}^{\frac{x}{4}}}{x}+\ln \left(-\frac{x}{4}\right)+\expIntegralEi \left(1, -\frac{x}{4}\right)+1-\ln \left(x \right)+2 \ln \left(2\right)-i \pi +\frac{4}{x}\right)-4 \left(\frac{\ln \left(\frac{\ln \left(2\right)}{4}\right)}{32}+\frac{1}{2}\right) \left(\frac{\frac{3}{4} x^{2}+4 x +8}{x^{2}}-\frac{8 \left(3+\frac{3 x}{4}\right) {\mathrm e}^{\frac{x}{4}}}{3 x^{2}}-\frac{\ln \left(-\frac{x}{4}\right)}{2}-\frac{\expIntegralEi \left(1, -\frac{x}{4}\right)}{2}-\frac{3}{4}+\frac{\ln \left(x \right)}{2}-\ln \left(2\right)+\frac{i \pi}{2}-\frac{8}{x^{2}}-\frac{4}{x}\right)$&$137$\\ \hline \end{longtable}"," ",0,"(16+ln(1/4*ln(2)))/x^2*exp(1/4*x)","A"
10159,1,48,26,0.067000," ","int(((12*x^3+8*x^2+4*x)*ln(4/(x^2+x))-20*x^3-12*x^2-12*x-4)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(4 x^{3}+4 x^{2}+4 x \right) \ln \left(\frac{4}{x^{2}+x}\right)-4 x^{3}-4 x^{2}-4 x -4 \ln \left(x^{2}+x \right)$&$48$\\ norman&$-4 x -4 x^{2}-4 x^{3}+4 x \ln \left(\frac{4}{x^{2}+x}\right)+4 x^{2} \ln \left(\frac{4}{x^{2}+x}\right)+4 x^{3} \ln \left(\frac{4}{x^{2}+x}\right)+4 \ln \left(\frac{4}{x^{2}+x}\right)$&$70$\\ default&$4 x^{2} \ln \left(\frac{1}{x \left(x +1\right)}\right)-4 x^{2}+4 x^{3} \ln \left(\frac{1}{x \left(x +1\right)}\right)-4 x^{3}+4 x \ln \left(\frac{1}{x \left(x +1\right)}\right)-4 x -4 \ln \left(x +1\right)+8 x^{3} \ln \left(2\right)+8 x^{2} \ln \left(2\right)+8 x \ln \left(2\right)-4 \ln \left(x \right)$&$87$\\ \hline \end{longtable}"," ",0,"(4*x^3+4*x^2+4*x)*ln(4/(x^2+x))-4*x^3-4*x^2-4*x-4*ln(x^2+x)","A"
10160,0,0,29,0.095000," ","int((((18*x^2+12*x+2)*ln(16*ln(2)^4/x)+18*x^4+12*x^3+74*x^2+48*x+8)*ln(ln(16*ln(2)^4/x)+x^2+4)^2+(5*ln(16*ln(2)^4/x)+5*x^2+20)*ln(ln(16*ln(2)^4/x)+x^2+4)-30*x^3-10*x^2+15*x+5)/((18*x^2+12*x+2)*ln(16*ln(2)^4/x)+18*x^4+12*x^3+74*x^2+48*x+8)/ln(ln(16*ln(2)^4/x)+x^2+4)^2,x)","\[\int \frac{\left(\left(18 x^{2}+12 x +2\right) \ln \left(\frac{16 \ln \left(2\right)^{4}}{x}\right)+18 x^{4}+12 x^{3}+74 x^{2}+48 x +8\right) \ln \left(\ln \left(\frac{16 \ln \left(2\right)^{4}}{x}\right)+x^{2}+4\right)^{2}+\left(5 \ln \left(\frac{16 \ln \left(2\right)^{4}}{x}\right)+5 x^{2}+20\right) \ln \left(\ln \left(\frac{16 \ln \left(2\right)^{4}}{x}\right)+x^{2}+4\right)-30 x^{3}-10 x^{2}+15 x +5}{\left(\left(18 x^{2}+12 x +2\right) \ln \left(\frac{16 \ln \left(2\right)^{4}}{x}\right)+18 x^{4}+12 x^{3}+74 x^{2}+48 x +8\right) \ln \left(\ln \left(\frac{16 \ln \left(2\right)^{4}}{x}\right)+x^{2}+4\right)^{2}}\, dx\]"," ",0,"int((((18*x^2+12*x+2)*ln(16*ln(2)^4/x)+18*x^4+12*x^3+74*x^2+48*x+8)*ln(ln(16*ln(2)^4/x)+x^2+4)^2+(5*ln(16*ln(2)^4/x)+5*x^2+20)*ln(ln(16*ln(2)^4/x)+x^2+4)-30*x^3-10*x^2+15*x+5)/((18*x^2+12*x+2)*ln(16*ln(2)^4/x)+18*x^4+12*x^3+74*x^2+48*x+8)/ln(ln(16*ln(2)^4/x)+x^2+4)^2,x)","F"
10161,1,343,31,0.342000," ","int(((ln(x)^3+(5*x^4+24*x^2+20)*ln(x)^2+(-4*x^5+19*x^4-16*x^3+88*x^2-x+52)*ln(x))*ln(ln(x)^2)-2*x*ln(x)^4+(-6*x^5-32*x^3+4*x^2-49*x)*ln(x)^3+(12*x^6-48*x^5+64*x^4-258*x^3+82*x^2-296*x+2)*ln(x)^2+(-6*x^7+48*x^6-128*x^5+258*x^4-545*x^3+280*x^2-530*x+40)*ln(x)-2*x^5+8*x^4-16*x^3+64*x^2-32*x+128)/(ln(x)^3+(-2*x+8)*ln(x)^2+(x^2-8*x+16)*ln(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 x \left(x^{4}+8 x^{2}+\ln \left(x \right)+16\right) \ln \left(\ln \left(x \right)\right)}{-\ln \left(x \right)+x -4}-\frac{x \left(-16 i \pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)-i \pi  \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right) \ln \left(x \right)+32 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}+16 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}+2 i \pi  \,x^{4} \mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2}+2 i \pi  \,\mathrm{csgn}\left(i \ln \left(x \right)\right) \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{2} \ln \left(x \right)-16 i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}-8 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}-i \pi  \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3} \ln \left(x \right)+2 x^{6}-2 x^{5} \ln \left(x \right)-i \pi  \,x^{4} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)^{3}-8 i \pi  \,x^{2} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)-i \pi  \,x^{4} \mathrm{csgn}\left(i \ln \left(x \right)\right)^{2} \mathrm{csgn}\left(i \ln \left(x \right)^{2}\right)-8 x^{5}+16 x^{4}-16 x^{3} \ln \left(x \right)-64 x^{3}+2 x^{2} \ln \left(x \right)-2 x \ln \left(x \right)^{2}+32 x^{2}-40 x \ln \left(x \right)-128 x \right)}{2 \left(-\ln \left(x \right)+x -4\right)}$&$343$\\ \hline \end{longtable}"," ",0,"-2*x*(x^4+8*x^2+ln(x)+16)/(-ln(x)+x-4)*ln(ln(x))-1/2*x*(-16*I*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-I*Pi*csgn(I*ln(x))^2*csgn(I*ln(x)^2)*ln(x)+32*I*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+16*I*Pi*x^2*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+2*I*Pi*x^4*csgn(I*ln(x))*csgn(I*ln(x)^2)^2+2*I*Pi*csgn(I*ln(x))*csgn(I*ln(x)^2)^2*ln(x)-16*I*Pi*csgn(I*ln(x)^2)^3-8*I*Pi*x^2*csgn(I*ln(x)^2)^3-I*Pi*csgn(I*ln(x)^2)^3*ln(x)+2*x^6-2*x^5*ln(x)-I*Pi*x^4*csgn(I*ln(x)^2)^3-8*I*Pi*x^2*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-I*Pi*x^4*csgn(I*ln(x))^2*csgn(I*ln(x)^2)-8*x^5+16*x^4-16*x^3*ln(x)-64*x^3+2*x^2*ln(x)-2*x*ln(x)^2+32*x^2-40*x*ln(x)-128*x)/(-ln(x)+x-4)","C"
10162,1,15,14,0.080000," ","int((-4*exp(x)*ln(5)+4*exp(10))/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{4 \,{\mathrm e}^{10} x}{\ln \left(5\right)}-4 \,{\mathrm e}^{x}$&$15$\\ risch&$\frac{4 \,{\mathrm e}^{10} x}{\ln \left(5\right)}-4 \,{\mathrm e}^{x}$&$15$\\ default&$\frac{-4 \,{\mathrm e}^{x} \ln \left(5\right)+4 x \,{\mathrm e}^{10}}{\ln \left(5\right)}$&$18$\\ derivativedivides&$\frac{-4 \,{\mathrm e}^{x} \ln \left(5\right)+4 \,{\mathrm e}^{10} \ln \left({\mathrm e}^{x}\right)}{\ln \left(5\right)}$&$20$\\ \hline \end{longtable}"," ",0,"4*exp(10)/ln(5)*x-4*exp(x)","A"
10163,1,76,27,0.183000," ","int((128000*x*exp(256*x^2)*ln(x)^5*exp(exp(256*x^2))^2+(((128000*x^2-128000*x)*exp(256*x^2)+250)*ln(x)^5+(128000*x^3*exp(256*x^2)+500*x)*ln(x)^3-500*x*ln(x)^2)*exp(exp(256*x^2))+(250*x-250)*ln(x)^5+(750*x^2-500*x)*ln(x)^3+(-500*x^2+500*x)*ln(x)^2+500*x^3*ln(x)-500*x^3)/ln(x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$125 x^{2}-250 x +\frac{125 x^{2} \left(2 x \ln \left(x \right)^{2}+x^{2}-2 \ln \left(x \right)^{2}\right)}{\ln \left(x \right)^{4}}+125 \,{\mathrm e}^{2 \,{\mathrm e}^{256 x^{2}}}+\frac{250 \left(x \ln \left(x \right)^{2}+x^{2}-\ln \left(x \right)^{2}\right) {\mathrm e}^{{\mathrm e}^{256 x^{2}}}}{\ln \left(x \right)^{2}}$&$76$\\ \hline \end{longtable}"," ",0,"125*x^2-250*x+125*x^2*(2*x*ln(x)^2+x^2-2*ln(x)^2)/ln(x)^4+125*exp(2*exp(256*x^2))+250*(x*ln(x)^2+x^2-ln(x)^2)/ln(x)^2*exp(exp(256*x^2))","B"
10164,1,18,19,0.027000," ","int(-ln(x)-4*x^3+8*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x^{4}+4 x^{2}+x -x \ln \left(x \right)$&$18$\\ norman&$-x^{4}+4 x^{2}+x -x \ln \left(x \right)$&$18$\\ risch&$-x^{4}+4 x^{2}+x -x \ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"-x^4+4*x^2+x-x*ln(x)","A"
10165,1,48,30,0.131000," ","int((-8*x^3-36*x^2-64*x-42)*exp(3)^2/((4*x^4+8*x^3-23*x^2-69*x-45)*exp(3)^2+x^6-3*x^5-12*x^4+29*x^3+60*x^2-75*x-125),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \ln \left(x^{2}-x -5\right)+\ln \left(-x^{4}+2 x^{3}+\left(-4 \,{\mathrm e}^{6}+9\right) x^{2}+\left(-12 \,{\mathrm e}^{6}-10\right) x -9 \,{\mathrm e}^{6}-25\right)$&$48$\\ norman&$-2 \ln \left(x^{2}-x -5\right)+\ln \left(x^{4}+4 x^{2} {\mathrm e}^{6}-2 x^{3}+12 x \,{\mathrm e}^{6}-9 x^{2}+9 \,{\mathrm e}^{6}+10 x +25\right)$&$54$\\ default&$2 \,{\mathrm e}^{6} \left(\frac{{\mathrm e}^{-6} \ln \left(x^{4}+4 x^{2} {\mathrm e}^{6}-2 x^{3}+12 x \,{\mathrm e}^{6}-9 x^{2}+9 \,{\mathrm e}^{6}+10 x +25\right)}{2}-{\mathrm e}^{-6} \ln \left(x^{2}-x -5\right)\right)$&$64$\\ \hline \end{longtable}"," ",0,"-2*ln(x^2-x-5)+ln(-x^4+2*x^3+(-4*exp(6)+9)*x^2+(-12*exp(6)-10)*x-9*exp(6)-25)","A"
10166,1,38,20,0.243000," ","int(((16*(x*ln(3)+1)*ln(5)^2+4*(10*x^2*ln(3)+10*x-5)*ln(5)+25*x^3*ln(3)+25*x^2-25*x)*ln((4*(x*ln(3)+1)*ln(5)+5*x^2*ln(3)+5*x-5)/(4*ln(5)+5*x))+16*x*ln(3)*ln(5)^2+40*x^2*ln(3)*ln(5)+25*x^3*ln(3)+25*x)/(16*(2*x*ln(3)+2)*ln(5)^2+4*(20*x^2*ln(3)+20*x-10)*ln(5)+50*x^3*ln(3)+50*x^2-50*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x \ln \left(\frac{4 \left(x \ln \left(3\right)+1\right) \ln \left(5\right)+5 x^{2} \ln \left(3\right)+5 x -5}{4 \ln \left(5\right)+5 x}\right)}{2}$&$38$\\ risch&$\frac{x \ln \left(\frac{4 \left(x \ln \left(3\right)+1\right) \ln \left(5\right)+5 x^{2} \ln \left(3\right)+5 x -5}{4 \ln \left(5\right)+5 x}\right)}{2}$&$38$\\ default&$\frac{\ln \left(\frac{4 x \ln \left(3\right) \ln \left(5\right)+5 x^{2} \ln \left(3\right)+4 \ln \left(5\right)+5 x -5}{4 \ln \left(5\right)+5 x}\right) x}{2}$&$39$\\ \hline \end{longtable}"," ",0,"1/2*x*ln((4*(x*ln(3)+1)*ln(5)+5*x^2*ln(3)+5*x-5)/(4*ln(5)+5*x))","A"
10167,1,208,27,0.437000," ","int((((3*x^3+2*x^2)*ln(x)+6*x^3+4*x^2)*ln(x*ln(x)+2*x)^2*exp((5*ln(x*ln(x)+2*x)-1)/ln(x*ln(x)+2*x))-5*ln(x)-15)/(x*ln(x)+2*x)/ln(x*ln(x)+2*x)^2/exp((5*ln(x*ln(x)+2*x)-1)/ln(x*ln(x)+2*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{3}+x^{2}+5 \,{\mathrm e}^{-\frac{-5 i \pi  \mathrm{csgn}\left(i x \left(\ln \left(x \right)+2\right)\right)^{3}+5 i \pi  \mathrm{csgn}\left(i x \left(\ln \left(x \right)+2\right)\right)^{2} \mathrm{csgn}\left(i x \right)+5 i \pi  \mathrm{csgn}\left(i x \left(\ln \left(x \right)+2\right)\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)\right)-5 i \pi  \,\mathrm{csgn}\left(i x \left(\ln \left(x \right)+2\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)\right)+10 \ln \left(x \right)+10 \ln \left(\ln \left(x \right)+2\right)-2}{-i \pi  \mathrm{csgn}\left(i x \left(\ln \left(x \right)+2\right)\right)^{3}+i \pi  \mathrm{csgn}\left(i x \left(\ln \left(x \right)+2\right)\right)^{2} \mathrm{csgn}\left(i x \right)+i \pi  \mathrm{csgn}\left(i x \left(\ln \left(x \right)+2\right)\right)^{2} \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)\right)-i \pi  \,\mathrm{csgn}\left(i x \left(\ln \left(x \right)+2\right)\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+2\right)\right)+2 \ln \left(x \right)+2 \ln \left(\ln \left(x \right)+2\right)}}$&$208$\\ \hline \end{longtable}"," ",0,"x^3+x^2+5*exp(-(-5*I*Pi*csgn(I*x*(ln(x)+2))^3+5*I*Pi*csgn(I*x*(ln(x)+2))^2*csgn(I*x)+5*I*Pi*csgn(I*x*(ln(x)+2))^2*csgn(I*(ln(x)+2))-5*I*Pi*csgn(I*x*(ln(x)+2))*csgn(I*x)*csgn(I*(ln(x)+2))+10*ln(x)+10*ln(ln(x)+2)-2)/(-I*Pi*csgn(I*x*(ln(x)+2))^3+I*Pi*csgn(I*x*(ln(x)+2))^2*csgn(I*x)+I*Pi*csgn(I*x*(ln(x)+2))^2*csgn(I*(ln(x)+2))-I*Pi*csgn(I*x*(ln(x)+2))*csgn(I*x)*csgn(I*(ln(x)+2))+2*ln(x)+2*ln(ln(x)+2)))","C"
10168,1,10,12,0.010000," ","int(-2*exp(1)^2-25,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-2 \,{\mathrm e}^{2} x -25 x$&$10$\\ default&$\left(-2 \,{\mathrm e}^{2}-25\right) x$&$11$\\ norman&$\left(-2 \,{\mathrm e}^{2}-25\right) x$&$11$\\ \hline \end{longtable}"," ",0,"-2*exp(2)*x-25*x","A"
10169,1,18,21,0.043000," ","int(((288*x^2-1512*x+1)*exp(ln(x)+144*x^2-1512*x+3968)+2*x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x \,{\mathrm e}^{144 x^{2}-1512 x +3968}+x^{2}$&$18$\\ norman&$x^{2}+{\mathrm e}^{\ln \left(x \right)+144 x^{2}-1512 x +3968}$&$18$\\ risch&$x^{2}+x \,{\mathrm e}^{8 \left(6 x -31\right) \left(3 x -16\right)}$&$20$\\ \hline \end{longtable}"," ",0,"x*exp(144*x^2-1512*x+3968)+x^2","A"
10170,1,10,12,0.033000," ","int((x^2*exp(4)+32)/x^2/exp(4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{32 \,{\mathrm e}^{-4}}{x}$&$10$\\ norman&$\frac{x^{2}-32 \,{\mathrm e}^{-4}}{x}$&$15$\\ default&${\mathrm e}^{-4} \left(x \,{\mathrm e}^{4}-\frac{32}{x}\right)$&$16$\\ gosper&$\frac{\left(x^{2} {\mathrm e}^{4}-32\right) {\mathrm e}^{-4}}{x}$&$17$\\ \hline \end{longtable}"," ",0,"x-32*exp(-4)/x","A"
10171,1,28,29,0.306000," ","int((18*x*exp(5)^2*ln(2)*ln(x)^2+(-9*x*ln(5)+36*x^2*exp(5)^2*ln(2))*ln(x)+(-18*x^2-36*x-27)*ln(5)+18*x^3*exp(5)^2*ln(2))/((x^3+6*x^2+9*x)*ln(x)^2+(2*x^4+12*x^3+18*x^2)*ln(x)+x^5+6*x^4+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{18 \,{\mathrm e}^{10} \ln \left(2\right)}{3+x}+\frac{9 \ln \left(5\right)}{\left(3+x \right) \left(x +\ln \left(x \right)\right)}$&$28$\\ default&$-\frac{18 \,{\mathrm e}^{10} \ln \left(2\right)}{3+x}+\frac{9 \ln \left(5\right)}{x \ln \left(x \right)+x^{2}+3 \ln \left(x \right)+3 x}$&$36$\\ norman&$\frac{-18 x \,{\mathrm e}^{10} \ln \left(2\right)-18 \,{\mathrm e}^{10} \ln \left(2\right) \ln \left(x \right)+9 \ln \left(5\right)}{x \ln \left(x \right)+x^{2}+3 \ln \left(x \right)+3 x}$&$43$\\ \hline \end{longtable}"," ",0,"-18*exp(10)*ln(2)/(3+x)+9*ln(5)/(3+x)/(x+ln(x))","A"
10172,1,42,23,0.044000," ","int(((2*exp(x^2)*x+6*x*ln(2)+4*x^2)*ln(exp(x^2)+3*ln(2)+2*x)^3+(-4*exp(x^2)*x-12*x*ln(2)-8*x^2)*ln(exp(x^2)+3*ln(2)+2*x)^2+((4*x^3+2*x)*exp(x^2)+6*x*ln(2)+8*x^2)*ln(exp(x^2)+3*ln(2)+2*x)-4*x^3*exp(x^2)-4*x^2)/(exp(x^2)+3*ln(2)+2*x)/ln(exp(x^2)+3*ln(2)+2*x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2}-\frac{\left(2 \ln \left({\mathrm e}^{x^{2}}+3 \ln \left(2\right)+2 x \right)-1\right) x^{2}}{\ln \left({\mathrm e}^{x^{2}}+3 \ln \left(2\right)+2 x \right)^{2}}$&$42$\\ \hline \end{longtable}"," ",0,"x^2-(2*ln(exp(x^2)+3*ln(2)+2*x)-1)*x^2/ln(exp(x^2)+3*ln(2)+2*x)^2","A"
10173,1,47,28,0.210000," ","int(((4*x^2+12)*ln(3/4+1/4*x^2)+(5*x^4+4*x^3+11*x^2+12*x-12)*exp(x)+10*x^5+14*x^4+20*x^3+34*x^2)/(x^4+3*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{4 \,{\mathrm e}^{x}}{x}+5 \,{\mathrm e}^{x}-\frac{4 \ln \left(x^{2}+3\right)}{x}+\frac{8 \ln \left(2\right)}{x}+5 x^{2}+14 x -5 \ln \left(x^{2}+3\right)$&$47$\\ risch&$-\frac{4 \ln \left(\frac{3}{4}+\frac{x^{2}}{4}\right)}{x}-\frac{-5 x^{3}+5 \ln \left(x^{2}+3\right) x -14 x^{2}-5 \,{\mathrm e}^{x} x -4 \,{\mathrm e}^{x}}{x}$&$49$\\ \hline \end{longtable}"," ",0,"4*exp(x)/x+5*exp(x)-4/x*ln(x^2+3)+8*ln(2)/x+5*x^2+14*x-5*ln(x^2+3)","A"
10174,1,25,29,0.218000," ","int((128*x^7-112*x^5+20*x^3-2*x)*exp(x^2/(16*x^4-8*x^2+1))^2/(64*x^6-48*x^4+12*x^2-1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{2} {\mathrm e}^{\frac{2 x^{2}}{\left(2 x -1\right)^{2} \left(2 x +1\right)^{2}}}$&$25$\\ gosper&$x^{2} {\mathrm e}^{\frac{2 x^{2}}{16 x^{4}-8 x^{2}+1}}$&$26$\\ norman&$\frac{x^{2} {\mathrm e}^{\frac{2 x^{2}}{16 x^{4}-8 x^{2}+1}}-8 x^{4} {\mathrm e}^{\frac{2 x^{2}}{16 x^{4}-8 x^{2}+1}}+16 x^{6} {\mathrm e}^{\frac{2 x^{2}}{16 x^{4}-8 x^{2}+1}}}{\left(4 x^{2}-1\right)^{2}}$&$89$\\ \hline \end{longtable}"," ",0,"x^2*exp(2*x^2/(2*x-1)^2/(2*x+1)^2)","A"
10175,1,16,29,0.021000," ","int((-ln(x)+50*x^3-103*x^2+1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$25 x^{2}-103 x +\frac{\ln \left(x \right)}{x}$&$16$\\ risch&$25 x^{2}-103 x +\frac{\ln \left(x \right)}{x}$&$16$\\ norman&$\frac{-103 x^{2}+25 x^{3}+\ln \left(x \right)}{x}$&$18$\\ \hline \end{longtable}"," ",0,"25*x^2-103*x+ln(x)/x","A"
10176,1,161,29,0.240000," ","int(1/5*((45*x+2)*ln(x*exp(x^2*exp(x^2)^4))^2-25*x*ln(x*exp(x^2*exp(x^2)^4))+(-200*x^5-50*x^3)*exp(x^2)^4-25*x)/x^3/ln(x*exp(x^2*exp(x^2)^4))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{45 x +1}{5 x^{2}}+\frac{10 i}{x \left(\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i {\mathrm e}^{x^{2} {\mathrm e}^{4 x^{2}}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x^{2} {\mathrm e}^{4 x^{2}}}\right)-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x^{2} {\mathrm e}^{4 x^{2}}}\right)^{2}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{x^{2} {\mathrm e}^{4 x^{2}}}\right) \mathrm{csgn}\left(i x \,{\mathrm e}^{x^{2} {\mathrm e}^{4 x^{2}}}\right)^{2}+\pi  \mathrm{csgn}\left(i x \,{\mathrm e}^{x^{2} {\mathrm e}^{4 x^{2}}}\right)^{3}+2 i \ln \left(x \right)+2 i \ln \left({\mathrm e}^{x^{2} {\mathrm e}^{4 x^{2}}}\right)\right)}$&$161$\\ \hline \end{longtable}"," ",0,"-1/5*(45*x+1)/x^2+10*I/x/(Pi*csgn(I*x)*csgn(I*exp(x^2*exp(4*x^2)))*csgn(I*x*exp(x^2*exp(4*x^2)))-Pi*csgn(I*x)*csgn(I*x*exp(x^2*exp(4*x^2)))^2-Pi*csgn(I*exp(x^2*exp(4*x^2)))*csgn(I*x*exp(x^2*exp(4*x^2)))^2+Pi*csgn(I*x*exp(x^2*exp(4*x^2)))^3+2*I*ln(x)+2*I*ln(exp(x^2*exp(4*x^2))))","C"
10177,1,23,20,0.104000," ","int((2*(-8*x^5-4*x)*ln(2)+8*x^6+6*x^2)*exp(x^4)-2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(-4 x^{2} \ln \left(2\right)+2 x^{3}\right) {\mathrm e}^{x^{4}}-2 x$&$23$\\ default&$-2 x +2 x^{3} {\mathrm e}^{x^{4}}-4 \ln \left(2\right) x^{2} {\mathrm e}^{x^{4}}$&$25$\\ norman&$-2 x +2 x^{3} {\mathrm e}^{x^{4}}-4 \ln \left(2\right) x^{2} {\mathrm e}^{x^{4}}$&$25$\\ \hline \end{longtable}"," ",0,"(-4*x^2*ln(2)+2*x^3)*exp(x^4)-2*x","A"
10178,1,25,27,0.142000," ","int(((4*exp(3)^2*exp(exp(4))^2*ln(5*x)-4*exp(3)^2*exp(exp(4))^2)*exp(ln(5*x)^2-2*ln(5*x)+1)^2+x*exp(x)*exp(exp(x)))/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2 \,{\mathrm e}^{4}+8+2 \ln \left(5 x \right)^{2}}}{625 x^{4}}+{\mathrm e}^{{\mathrm e}^{x}}$&$25$\\ default&$\frac{{\mathrm e}^{6} {\mathrm e}^{2 \,{\mathrm e}^{4}} {\mathrm e}^{2 \ln \left(5 x \right)^{2}+2}}{625 x^{4}}+{\mathrm e}^{{\mathrm e}^{x}}$&$32$\\ \hline \end{longtable}"," ",0,"1/625/x^4*exp(2*exp(4)+8+2*ln(5*x)^2)+exp(exp(x))","A"
10179,1,57,33,0.387000," ","int(((((-x^2+4*x-4)*exp(5)-x^3+5*x^2-8*x)*exp(x)-2*exp(5)^2+(2*x^2-4*x)*exp(5)+6*x^2)*exp(x^2)+(-2*x^3+8*x^2+4)*exp(5)-2*x^4+8*x^3-x^2+8*x)/(x^2*exp(5)^2+2*x^3*exp(5)+x^4)/exp(x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(-4+x +\left(-2 \,{\mathrm e}^{5}-6\right) x \,{\mathrm e}^{x^{2}}+2 \,{\mathrm e}^{5} {\mathrm e}^{x^{2}}+4 \,{\mathrm e}^{x} {\mathrm e}^{x^{2}}-x \,{\mathrm e}^{x} {\mathrm e}^{x^{2}}\right) {\mathrm e}^{-x^{2}}}{x \left({\mathrm e}^{5}+x \right)}$&$57$\\ risch&$\frac{\left(-2 \,{\mathrm e}^{5}-6\right) x +2 \,{\mathrm e}^{5}}{\left({\mathrm e}^{5}+x \right) x}-\frac{\left(x -4\right) {\mathrm e}^{x}}{x \left({\mathrm e}^{5}+x \right)}+\frac{\left(x -4\right) {\mathrm e}^{-x^{2}}}{x \left({\mathrm e}^{5}+x \right)}$&$60$\\ \hline \end{longtable}"," ",0,"(-4+x+(-2*exp(5)-6)*x*exp(x^2)+2*exp(5)*exp(x^2)+4*exp(x)*exp(x^2)-x*exp(x)*exp(x^2))/x/(exp(5)+x)/exp(x^2)","A"
10180,1,25,21,0.293000," ","int((-32*x*ln(2)^2+6*x)/(6*ln(3)+(-16*x^2+80)*ln(2)^2+3*x^2-15),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(6 \ln \left(3\right)+\left(-16 x^{2}+80\right) \ln \left(2\right)^{2}+3 x^{2}-15\right)$&$25$\\ risch&$\ln \left(x^{2} \left(16 \ln \left(2\right)^{2}-3\right)-80 \ln \left(2\right)^{2}-6 \ln \left(3\right)+15\right)$&$26$\\ default&$\ln \left(16 x^{2} \ln \left(2\right)^{2}-80 \ln \left(2\right)^{2}-3 x^{2}-6 \ln \left(3\right)+15\right)$&$28$\\ norman&$\ln \left(16 x^{2} \ln \left(2\right)^{2}-80 \ln \left(2\right)^{2}-3 x^{2}-6 \ln \left(3\right)+15\right)$&$28$\\ meijerg&$-\frac{\left(-32 \ln \left(2\right)^{2}+6\right) \ln \left(1-\frac{x^{2} \left(16 \ln \left(2\right)^{2}-3\right)}{80 \ln \left(2\right)^{2}+6 \ln \left(3\right)-15}\right)}{2 \left(16 \ln \left(2\right)^{2}-3\right)}$&$51$\\ \hline \end{longtable}"," ",0,"ln(6*ln(3)+(-16*x^2+80)*ln(2)^2+3*x^2-15)","A"
10181,1,27,22,0.047000," ","int(((4*x^2+2*x)*exp(x^2+x)^2+(-8*x^2-4*x)*exp(x^2+x)+(2*x^2+2*x)*exp(4+x)+x+1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{2 \left(x +1\right) x}+2 x \,{\mathrm e}^{4+x}-4 \,{\mathrm e}^{\left(x +1\right) x}+\ln \left(x \right)$&$27$\\ norman&$x +{\mathrm e}^{2 x^{2}+2 x}+2 x \,{\mathrm e}^{4+x}-4 \,{\mathrm e}^{x^{2}+x}+\ln \left(x \right)$&$28$\\ default&$x +\ln \left(x \right)+2 \,{\mathrm e}^{4} {\mathrm e}^{x}+2 \,{\mathrm e}^{4} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)-4 \,{\mathrm e}^{x^{2}+x}+{\mathrm e}^{2 x^{2}+2 x}$&$42$\\ \hline \end{longtable}"," ",0,"x+exp(2*(x+1)*x)+2*x*exp(4+x)-4*exp((x+1)*x)+ln(x)","A"
10182,1,108,22,0.256000," ","int(((-4*exp(x)^2+exp(x)*x)*ln((-4*exp(x)+x)/exp(x))*ln(ln((-4*exp(x)+x)/exp(x)))+(8*exp(x)^2-2*exp(x)*x)*ln((-4*exp(x)+x)/exp(x))*ln(ln(4*ln(2)))+(1-x)*exp(x))/(8*exp(x)-2*x)/ln((-4*exp(x)+x)/exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{{\mathrm e}^{x} \ln \left(-\ln \left({\mathrm e}^{x}\right)+\ln \left(-4 \,{\mathrm e}^{x}+x \right)+\frac{i \pi  \,\mathrm{csgn}\left(i \left(4 \,{\mathrm e}^{x}-x \right) {\mathrm e}^{-x}\right) \left(\mathrm{csgn}\left(i \left(4 \,{\mathrm e}^{x}-x \right) {\mathrm e}^{-x}\right)+\mathrm{csgn}\left(i {\mathrm e}^{-x}\right)\right) \left(\mathrm{csgn}\left(i \left(4 \,{\mathrm e}^{x}-x \right) {\mathrm e}^{-x}\right)-\mathrm{csgn}\left(i \left(4 \,{\mathrm e}^{x}-x \right)\right)\right)}{2}\right)}{2}+{\mathrm e}^{x} \ln \left(2 \ln \left(2\right)+\ln \left(\ln \left(2\right)\right)\right)$&$108$\\ \hline \end{longtable}"," ",0,"-1/2*exp(x)*ln(-ln(exp(x))+ln(-4*exp(x)+x)+1/2*I*Pi*csgn(I*(4*exp(x)-x)*exp(-x))*(csgn(I*(4*exp(x)-x)*exp(-x))+csgn(I*exp(-x)))*(csgn(I*(4*exp(x)-x)*exp(-x))-csgn(I*(4*exp(x)-x))))+exp(x)*ln(2*ln(2)+ln(ln(2)))","C"
10183,1,30,31,0.053000," ","int(((-5*x^2-100*x+15)*ln((x^4+40*x^3+394*x^2-120*x+9)/x^4)+4*x^2-120*x+48)/(5*x^4+100*x^3-15*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-\frac{4}{5}+\ln \left(\frac{x^{4}+40 x^{3}+394 x^{2}-120 x +9}{x^{4}}\right)}{x}$&$30$\\ derivativedivides&$-\frac{4}{5 x}+\frac{\ln \left(1+\frac{40}{x}+\frac{9}{x^{4}}+\frac{394}{x^{2}}-\frac{120}{x^{3}}\right)}{x}$&$34$\\ default&$-\frac{4}{5 x}+\frac{\ln \left(1+\frac{40}{x}+\frac{9}{x^{4}}+\frac{394}{x^{2}}-\frac{120}{x^{3}}\right)}{x}$&$34$\\ risch&$\frac{\ln \left(\frac{x^{4}+40 x^{3}+394 x^{2}-120 x +9}{x^{4}}\right)}{x}-\frac{4}{5 x}$&$34$\\ \hline \end{longtable}"," ",0,"(-4/5+ln((x^4+40*x^3+394*x^2-120*x+9)/x^4))/x","A"
10184,1,20,20,0.237000," ","int(((10*x+45)*ln(2*x+9)+6*x^3+31*x^2+24*x-18)/(2*x+9),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+x^{3}-2 x +5 \ln \left(2 x +9\right) x$&$20$\\ risch&$x^{2}+x^{3}-2 x +5 \ln \left(2 x +9\right) x$&$20$\\ derivativedivides&$\frac{\left(2 x +9\right)^{3}}{8}+\frac{5 \ln \left(2 x +9\right) \left(2 x +9\right)}{2}+\frac{199 x}{4}+\frac{1791}{8}-\frac{25 \left(2 x +9\right)^{2}}{8}-\frac{45 \ln \left(2 x +9\right)}{2}$&$45$\\ default&$\frac{\left(2 x +9\right)^{3}}{8}+\frac{5 \ln \left(2 x +9\right) \left(2 x +9\right)}{2}+\frac{199 x}{4}+\frac{1791}{8}-\frac{25 \left(2 x +9\right)^{2}}{8}-\frac{45 \ln \left(2 x +9\right)}{2}$&$45$\\ \hline \end{longtable}"," ",0,"x^2+x^3-2*x+5*ln(2*x+9)*x","A"
10185,1,31,26,0.070000," ","int((4*x^2*exp(2)*ln(x)+(1-x)*exp(x)+(11*x^2-20*x)*exp(2))/x^2/exp(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-20 x \ln \left(x \right)+7 x^{2}+4 x^{2} \ln \left(x \right)-{\mathrm e}^{x} {\mathrm e}^{-2}}{x}$&$31$\\ risch&$4 x \ln \left(x \right)-\frac{{\mathrm e}^{-2} \left(20 x \,{\mathrm e}^{2} \ln \left(x \right)-7 x^{2} {\mathrm e}^{2}+{\mathrm e}^{x}\right)}{x}$&$31$\\ default&${\mathrm e}^{-2} \left(-20 \,{\mathrm e}^{2} \ln \left(x \right)+7 \,{\mathrm e}^{2} x +4 x \,{\mathrm e}^{2} \ln \left(x \right)-\frac{{\mathrm e}^{x}}{x}\right)$&$32$\\ \hline \end{longtable}"," ",0,"(-20*x*ln(x)+7*x^2+4*x^2*ln(x)-exp(x)/exp(2))/x","A"
10186,1,22,24,0.087000," ","int((((-4*x-4)*ln(x)-8*x-12)*exp(ln(ln(5))-x)+4*x)/(x^2*ln(x)^2+4*x^2*ln(x)+4*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \left(x -\ln \left(5\right) {\mathrm e}^{-x}\right)}{x \left(\ln \left(x \right)+2\right)}$&$22$\\ norman&$\frac{-4 x +4 \,{\mathrm e}^{\ln \left(\ln \left(5\right)\right)-x}}{\left(\ln \left(x \right)+2\right) x}$&$25$\\ default&$\frac{4 \,{\mathrm e}^{\ln \left(\ln \left(5\right)\right)-x}}{x \left(\ln \left(x \right)+2\right)}-\frac{4}{\ln \left(x \right)+2}$&$29$\\ \hline \end{longtable}"," ",0,"-4/x*(x-ln(5)*exp(-x))/(ln(x)+2)","A"
10187,1,278,22,0.148000," ","int(((3*x^2*ln(x)+3*x^4+3*x^3)*ln((ln(x)+x^2+x)/exp(x)/x)+(x^3+x^2)*ln(x)+x^5-x^2)/(ln(x)+x^2+x)/ln((ln(x)+x^2+x)/exp(x)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 i x^{3}}{\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\ln \left(x \right)+x^{2}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+x^{2}+x \right) {\mathrm e}^{-x}}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+x^{2}+x \right) {\mathrm e}^{-x}}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i \left(\ln \left(x \right)+x^{2}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\ln \left(x \right)+x^{2}+x \right)\right)-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\ln \left(x \right)+x^{2}+x \right)\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(\ln \left(x \right)+x^{2}+x \right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\ln \left(x \right)+x^{2}+x \right)\right)^{2}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\ln \left(x \right)+x^{2}+x \right)\right)^{3}-\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x} \left(\ln \left(x \right)+x^{2}+x \right)\right) \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+x^{2}+x \right) {\mathrm e}^{-x}}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(\ln \left(x \right)+x^{2}+x \right) {\mathrm e}^{-x}}{x}\right)^{3}-2 i \ln \left(x \right)+2 i \ln \left(\ln \left(x \right)+x^{2}+x \right)-2 i \ln \left({\mathrm e}^{x}\right)}$&$278$\\ \hline \end{longtable}"," ",0,"2*I*x^3/(Pi*csgn(I/x)*csgn(I*exp(-x)*(ln(x)+x^2+x))*csgn(I/x*(ln(x)+x^2+x)*exp(-x))-Pi*csgn(I/x)*csgn(I/x*(ln(x)+x^2+x)*exp(-x))^2+Pi*csgn(I*exp(-x))*csgn(I*(ln(x)+x^2+x))*csgn(I*exp(-x)*(ln(x)+x^2+x))-Pi*csgn(I*exp(-x))*csgn(I*exp(-x)*(ln(x)+x^2+x))^2-Pi*csgn(I*(ln(x)+x^2+x))*csgn(I*exp(-x)*(ln(x)+x^2+x))^2+Pi*csgn(I*exp(-x)*(ln(x)+x^2+x))^3-Pi*csgn(I*exp(-x)*(ln(x)+x^2+x))*csgn(I/x*(ln(x)+x^2+x)*exp(-x))^2+Pi*csgn(I/x*(ln(x)+x^2+x)*exp(-x))^3-2*I*ln(x)+2*I*ln(ln(x)+x^2+x)-2*I*ln(exp(x)))","C"
10188,1,36,24,0.351000," ","int((((40*x+60)*exp(2)-10*x^2)*ln(5)+(8*x+12)*exp(2)-2*x^2)*ln(2*ln(5))/(4*exp(2)^2-4*exp(2)*x+x^2)/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{2 \left(x^{2}+6 \,{\mathrm e}^{2}\right) \left(5 \ln \left(5\right)+1\right) \ln \left(2 \ln \left(5\right)\right)}{\ln \left(5\right) \left(2 \,{\mathrm e}^{2}-x \right)}$&$36$\\ norman&$\frac{\frac{2 \left(5 \ln \left(2\right) \ln \left(5\right)+5 \ln \left(5\right) \ln \left(\ln \left(5\right)\right)+\ln \left(2\right)+\ln \left(\ln \left(5\right)\right)\right) x^{2}}{\ln \left(5\right)}+\frac{12 \,{\mathrm e}^{2} \left(5 \ln \left(2\right) \ln \left(5\right)+5 \ln \left(5\right) \ln \left(\ln \left(5\right)\right)+\ln \left(2\right)+\ln \left(\ln \left(5\right)\right)\right)}{\ln \left(5\right)}}{2 \,{\mathrm e}^{2}-x}$&$68$\\ meijerg&$-\frac{8 \,{\mathrm e}^{2} \left(-\frac{5 \ln \left(5\right)}{2}-\frac{1}{2}\right) \ln \left(2 \ln \left(5\right)\right) \left(-\frac{x \,{\mathrm e}^{-2} \left(-\frac{3 x \,{\mathrm e}^{-2}}{2}+6\right)}{6 \left(1-\frac{x \,{\mathrm e}^{-2}}{2}\right)}-2 \ln \left(1-\frac{x \,{\mathrm e}^{-2}}{2}\right)\right)}{\ln \left(5\right)}+\frac{4 \left(10 \,{\mathrm e}^{2} \ln \left(5\right)+2 \,{\mathrm e}^{2}\right) \ln \left(2 \ln \left(5\right)\right) \left(\frac{x \,{\mathrm e}^{-2}}{2-x \,{\mathrm e}^{-2}}+\ln \left(1-\frac{x \,{\mathrm e}^{-2}}{2}\right)\right)}{\ln \left(5\right)}+\frac{15 \,{\mathrm e}^{-2} \ln \left(2 \ln \left(5\right)\right) x}{1-\frac{x \,{\mathrm e}^{-2}}{2}}+\frac{3 \,{\mathrm e}^{-2} \ln \left(2 \ln \left(5\right)\right) x}{\ln \left(5\right) \left(1-\frac{x \,{\mathrm e}^{-2}}{2}\right)}$&$140$\\ risch&$-10 x \ln \left(2\right)-10 x \ln \left(\ln \left(5\right)\right)-\frac{2 x \ln \left(2\right)}{\ln \left(5\right)}-\frac{2 x \ln \left(\ln \left(5\right)\right)}{\ln \left(5\right)}+\frac{30 \,{\mathrm e}^{2} \ln \left(2\right)}{{\mathrm e}^{2}-\frac{x}{2}}+\frac{30 \,{\mathrm e}^{2} \ln \left(\ln \left(5\right)\right)}{{\mathrm e}^{2}-\frac{x}{2}}+\frac{20 \ln \left(2\right) {\mathrm e}^{4}}{{\mathrm e}^{2}-\frac{x}{2}}+\frac{20 \,{\mathrm e}^{4} \ln \left(\ln \left(5\right)\right)}{{\mathrm e}^{2}-\frac{x}{2}}+\frac{6 \,{\mathrm e}^{2} \ln \left(2\right)}{\ln \left(5\right) \left({\mathrm e}^{2}-\frac{x}{2}\right)}+\frac{6 \,{\mathrm e}^{2} \ln \left(\ln \left(5\right)\right)}{\ln \left(5\right) \left({\mathrm e}^{2}-\frac{x}{2}\right)}+\frac{4 \ln \left(2\right) {\mathrm e}^{4}}{\ln \left(5\right) \left({\mathrm e}^{2}-\frac{x}{2}\right)}+\frac{4 \,{\mathrm e}^{4} \ln \left(\ln \left(5\right)\right)}{\ln \left(5\right) \left({\mathrm e}^{2}-\frac{x}{2}\right)}$&$164$\\ \hline \end{longtable}"," ",0,"2*(x^2+6*exp(2))*(5*ln(5)+1)*ln(2*ln(5))/ln(5)/(2*exp(2)-x)","A"
10189,1,18,17,0.033000," ","int((4*x^2+4*x-1)/((4*x^2-2*x)*ln(2*x-1)+(2*x^2-x)*ln(x)+(2*x^2-x)*exp(1)+4*x^3-2*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(x +\frac{{\mathrm e}}{2}+\frac{\ln \left(x \right)}{2}+\ln \left(2 x -1\right)\right)$&$18$\\ \hline \end{longtable}"," ",0,"ln(x+1/2*exp(1)+1/2*ln(x)+ln(2*x-1))","A"
10190,-1,0,20,180.000000," ","int((((24+6*x)*ln(x^3)-30*x-120)*ln(2*x^3+16*x^2+32*x)^2+((6*x+8)*ln(x^3)^2+(2*x^2-52*x-80)*ln(x^3)-4*x^2+134*x+200)*ln(2*x^3+16*x^2+32*x)+(6*x^2+8*x)*ln(x^3)+2*x^3-22*x^2-40*x)/(x^2+4*x),x,method=_RETURNVERBOSE)","\text{hanged}"," ",0,"int((((24+6*x)*ln(x^3)-30*x-120)*ln(2*x^3+16*x^2+32*x)^2+((6*x+8)*ln(x^3)^2+(2*x^2-52*x-80)*ln(x^3)-4*x^2+134*x+200)*ln(2*x^3+16*x^2+32*x)+(6*x^2+8*x)*ln(x^3)+2*x^3-22*x^2-40*x)/(x^2+4*x),x,method=_RETURNVERBOSE)","F"
10191,1,20,19,0.097000," ","int(ln(-5/2*exp(3)*ln(-4+ln(3))-5/6*ln(ln(2))+5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\ln \left(-\frac{5 \,{\mathrm e}^{3} \ln \left(-4+\ln \left(3\right)\right)}{2}-\frac{5 \ln \left(\ln \left(2\right)\right)}{6}+5\right) x$&$20$\\ norman&$\left(\ln \left(\frac{5}{6}\right)+\ln \left(-3 \,{\mathrm e}^{3} \ln \left(-4+\ln \left(3\right)\right)-\ln \left(\ln \left(2\right)\right)+6\right)\right) x$&$23$\\ risch&$x \ln \left(\frac{5}{6}\right)+x \ln \left(-3 \,{\mathrm e}^{3} \ln \left(-4+\ln \left(3\right)\right)-\ln \left(\ln \left(2\right)\right)+6\right)$&$25$\\ \hline \end{longtable}"," ",0,"ln(-5/2*exp(3)*ln(-4+ln(3))-5/6*ln(ln(2))+5)*x","A"
10192,1,15,21,0.049000," ","int(1/3*(-4*x^3*exp(1/2*x^2)+24)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-\frac{8}{x}-\frac{4 \,{\mathrm e}^{\frac{x^{2}}{2}}}{3}$&$15$\\ risch&$-\frac{8}{x}-\frac{4 \,{\mathrm e}^{\frac{x^{2}}{2}}}{3}$&$15$\\ norman&$\frac{-8-\frac{4 x \,{\mathrm e}^{\frac{x^{2}}{2}}}{3}}{x}$&$16$\\ \hline \end{longtable}"," ",0,"-8/x-4/3*exp(1/2*x^2)","A"
10193,1,32,19,0.182000," ","int((((-2*x^2*exp(16)-2*x^3+2*x^2)*exp(exp(16)^2+(2*x-2)*exp(16)+x^2-2*x+1)+2*x)*ln(x)+(4*x^2*exp(16)+4*x^3-4*x^2)*exp(exp(16)^2+(2*x-2)*exp(16)+x^2-2*x+1)-3*x)/exp(exp(exp(16)^2+(2*x-2)*exp(16)+x^2-2*x+1)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\ln \left(x \right)-2\right) x^{2} {\mathrm e}^{-{\mathrm e}^{2 x \,{\mathrm e}^{16}+x^{2}-2 \,{\mathrm e}^{16}+{\mathrm e}^{32}-2 x +1}}$&$32$\\ \hline \end{longtable}"," ",0,"(ln(x)-2)*x^2*exp(-exp(2*x*exp(16)+x^2-2*exp(16)+exp(32)-2*x+1))","A"
10194,1,20,19,0.344000," ","int(((-18*x-9)*exp(2*x-2)+9*exp(4)-45)/(x^2*exp(2*x-2)^2+(-2*x^2*exp(4)+10*x^2)*exp(2*x-2)+x^2*exp(4)^2-10*x^2*exp(4)+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{9}{x \left(-5+{\mathrm e}^{4}-{\mathrm e}^{2 x -2}\right)}$&$20$\\ risch&$-\frac{9}{x \left(-5+{\mathrm e}^{4}-{\mathrm e}^{2 x -2}\right)}$&$20$\\ \hline \end{longtable}"," ",0,"-9/x/(-5+exp(4)-exp(2*x-2))","A"
10195,1,24,20,1.433000," ","int((2*ln(x*(ln(3)+I*Pi)-5*x)-x-2)/(x^2+4*x+4)/ln(x*(ln(3)+I*Pi)-5*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{\left(2+x \right) \ln \left(x \left(\ln \left(3\right)+i \pi \right)-5 x \right)}$&$24$\\ risch&$\frac{x}{\left(2+x \right) \ln \left(x \left(\ln \left(3\right)+i \pi \right)-5 x \right)}$&$24$\\ \hline \end{longtable}"," ",0,"x/(2+x)/ln(x*(ln(3)+I*Pi)-5*x)","A"
10196,1,15,14,0.082000," ","int(4*x^3*exp(4)/(x^4-450)/ln(1/225*x^4-2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{{\mathrm e}^{4}}{\ln \left(\frac{x^{4}}{225}-2\right)}$&$15$\\ risch&$-\frac{{\mathrm e}^{4}}{\ln \left(\frac{x^{4}}{225}-2\right)}$&$15$\\ default&$-\frac{{\mathrm e}^{4}}{-2 \ln \left(15\right)+\ln \left(x^{4}-450\right)}$&$18$\\ \hline \end{longtable}"," ",0,"-exp(4)/ln(1/225*x^4-2)","A"
10197,1,45,17,0.128000," ","int(((8*exp(x)*x^2+8*x)*exp(exp(x))*exp(x*exp(exp(x))+3)^2+(((4*exp(x)*x^2+4*x)*ln(x)-80*exp(x)*x^2-80*x)*exp(exp(x))+4)*exp(x*exp(exp(x))+3)+2*ln(x)-40)*exp(4*exp(x*exp(exp(x))+3)^2+(4*ln(x)-80)*exp(x*exp(exp(x))+3)+ln(x)^2-40*ln(x)+400)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{4 \,{\mathrm e}^{x \,{\mathrm e}^{{\mathrm e}^{x}}+3}} {\mathrm e}^{\ln \left(x \right)^{2}+400+4 \,{\mathrm e}^{2 x \,{\mathrm e}^{{\mathrm e}^{x}}+6}-80 \,{\mathrm e}^{x \,{\mathrm e}^{{\mathrm e}^{x}}+3}}}{x^{40}}$&$45$\\ \hline \end{longtable}"," ",0,"1/x^40*x^(4*exp(x*exp(exp(x))+3))*exp(ln(x)^2+400+4*exp(2*x*exp(exp(x))+6)-80*exp(x*exp(exp(x))+3))","B"
10198,1,10,9,0.019000," ","int((1440*x^2*ln(x)-960*x^2)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{480 x^{3}}{\ln \left(x \right)^{2}}$&$10$\\ norman&$\frac{480 x^{3}}{\ln \left(x \right)^{2}}$&$10$\\ risch&$\frac{480 x^{3}}{\ln \left(x \right)^{2}}$&$10$\\ \hline \end{longtable}"," ",0,"480*x^3/ln(x)^2","A"
10199,1,25,25,0.469000," ","int(((3*x-75)*exp(1/3*ln(-x+25)-x)^2+((6*x-150)*exp(3)+3*x^3-70*x^2-120*x-750)*exp(1/3*ln(-x+25)-x)+(3*x-75)*exp(3)^2+(6*x^2-120*x-750)*exp(3)+30*x^2-675*x-1875)/((3*x-75)*exp(1/3*ln(-x+25)-x)^2+((6*x-150)*exp(3)+30*x-750)*exp(1/3*ln(-x+25)-x)+(3*x-75)*exp(3)^2+(30*x-750)*exp(3)+75*x-1875),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{\left(-x +25\right)^{\frac{1}{3}} {\mathrm e}^{-x}+{\mathrm e}^{3}+5}+x$&$25$\\ norman&$\frac{x^{2}+\left({\mathrm e}^{3}+5\right) x +{\mathrm e}^{\frac{\ln \left(-x +25\right)}{3}-x} x}{{\mathrm e}^{\frac{\ln \left(-x +25\right)}{3}-x}+{\mathrm e}^{3}+5}$&$46$\\ \hline \end{longtable}"," ",0,"x^2/((-x+25)^(1/3)*exp(-x)+exp(3)+5)+x","A"
10200,1,19,23,0.062000," ","int(((-exp(exp(x)^2)+5-x)*ln(-exp(exp(x)^2)+5-x)+2*x*exp(x)^2*exp(exp(x)^2)+x)/(exp(exp(x)^2)+x-5)/ln(-exp(exp(x)^2)+5-x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x}{\ln \left(-{\mathrm e}^{{\mathrm e}^{2 x}}+5-x \right)}$&$19$\\ \hline \end{longtable}"," ",0,"-x/ln(-exp(exp(2*x))+5-x)","A"
10201,1,6,14,0.047000," ","int((6*x+6)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$6 \,{\mathrm e}^{x} x$&$6$\\ default&$6 \,{\mathrm e}^{x} x$&$6$\\ norman&$6 \,{\mathrm e}^{x} x$&$6$\\ risch&$6 \,{\mathrm e}^{x} x$&$6$\\ meijerg&$-3 \left(-2 x +2\right) {\mathrm e}^{x}+6 \,{\mathrm e}^{x}$&$15$\\ \hline \end{longtable}"," ",0,"6*exp(x)*x","A"
10202,1,8,18,0.013000," ","int(4/5*x^3+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{1}{5} x^{4}+x$&$8$\\ norman&$\frac{1}{5} x^{4}+x$&$8$\\ risch&$\frac{1}{5} x^{4}+x$&$8$\\ gosper&$\frac{x \left(x^{3}+5\right)}{5}$&$9$\\ \hline \end{longtable}"," ",0,"1/5*x^4+x","A"
10203,1,187,37,0.251000," ","int((((-300*x+1200)*exp(1)*ln(-1/4*x+1)+50*x*exp(1))*ln(ln(-1/4*x+1))+((900*x-3600)*exp(1)*ln(-1/4*x+1)-150*x*exp(1))*ln(x^2))*exp(25/9*exp(1)*ln(ln(-1/4*x+1))^2-50/3*exp(1)*ln(x^2)*ln(ln(-1/4*x+1))+25*exp(1)*ln(x^2)^2)/(9*x^2-36*x)/ln(-1/4*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(-\frac{x}{4}+1\right)^{-\frac{50 \,{\mathrm e} \left(-i \pi  \,\mathrm{csgn}\left(i x^{2}\right)+i \pi  \,\mathrm{csgn}\left(i x \right)+2 \ln \left(x \right)\right)}{3}} x^{-100 i \pi  \,{\mathrm e} \,\mathrm{csgn}\left(i x^{2}\right)} x^{100 i \pi  \,{\mathrm e} \,\mathrm{csgn}\left(i x \right)} {\mathrm e}^{\frac{25 \,{\mathrm e} \left(-9 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{6}+36 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{5} \mathrm{csgn}\left(i x \right)-54 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{4} \mathrm{csgn}\left(i x \right)^{2}+36 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{3} \mathrm{csgn}\left(i x \right)^{3}-9 \pi^{2} \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)^{4}+144 \ln \left(x \right)^{2}+4 \ln \left(\ln \left(-\frac{x}{4}+1\right)\right)^{2}\right)}{36}}$&$187$\\ \hline \end{longtable}"," ",0,"ln(-1/4*x+1)^(-50/3*exp(1)*(-I*Pi*csgn(I*x^2)+I*Pi*csgn(I*x)+2*ln(x)))*(x^(-50*I*Pi*exp(1)*csgn(I*x^2)))^2*x^(100*I*Pi*exp(1)*csgn(I*x))*exp(25/36*exp(1)*(-9*Pi^2*csgn(I*x^2)^6+36*Pi^2*csgn(I*x^2)^5*csgn(I*x)-54*Pi^2*csgn(I*x^2)^4*csgn(I*x)^2+36*Pi^2*csgn(I*x^2)^3*csgn(I*x)^3-9*Pi^2*csgn(I*x^2)^2*csgn(I*x)^4+144*ln(x)^2+4*ln(ln(-1/4*x+1))^2))","C"
10204,1,23,21,0.078000," ","int(((1764*x-882)*exp(x)-64827*x^3-62181*x^2)/(4*exp(x)^3+(-588*x^2+24*x)*exp(x)^2+(21609*x^4-1764*x^3+36*x^2)*exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{441 x \,{\mathrm e}^{-x}}{147 x^{2}-6 x -2 \,{\mathrm e}^{x}}$&$23$\\ risch&$\frac{147 \,{\mathrm e}^{-x}}{49 x -2}+\frac{294}{\left(49 x -2\right) \left(147 x^{2}-6 x -2 \,{\mathrm e}^{x}\right)}$&$39$\\ \hline \end{longtable}"," ",0,"441*x/exp(x)/(147*x^2-6*x-2*exp(x))","A"
10205,1,17,16,0.043000," ","int(((-180*x-180)*exp(5)*ln(x)*ln(ln(x))^2+180*exp(5)*ln(ln(x)))/x^3/exp(x)^2/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{90 \ln \left(\ln \left(x \right)\right)^{2} {\mathrm e}^{-2 x +5}}{x^{2}}$&$17$\\ \hline \end{longtable}"," ",0,"90/x^2*ln(ln(x))^2*exp(-2*x+5)","A"
10206,1,11,11,0.022000," ","int(-1024/3969*exp(1024/3969*x)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -{\mathrm e}^{\frac{1024 x}{3969}}$&$11$\\ norman&$-x -{\mathrm e}^{\frac{1024 x}{3969}}$&$11$\\ risch&$-x -{\mathrm e}^{\frac{1024 x}{3969}}$&$11$\\ derivativedivides&$-{\mathrm e}^{\frac{1024 x}{3969}}-\frac{3969 \ln \left({\mathrm e}^{\frac{1024 x}{3969}}\right)}{1024}$&$15$\\ \hline \end{longtable}"," ",0,"-x-exp(1024/3969*x)","A"
10207,1,27,24,0.099000," ","int(1/4*(-2*x^2*ln(ln(2)^2/x^2)+(-5*x+5)*exp(x)+4*x^3+4*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{x^{2}}{2}-\frac{5 \,{\mathrm e}^{x}}{4 x}-\frac{x \ln \left(\frac{1}{x^{2}}\right)}{2}-x \ln \left(\ln \left(2\right)\right)$&$27$\\ norman&$\frac{\frac{x^{3}}{2}-\frac{x^{2} \ln \left(\frac{\ln \left(2\right)^{2}}{x^{2}}\right)}{2}-\frac{5 \,{\mathrm e}^{x}}{4}}{x}$&$29$\\ risch&$x \ln \left(x \right)+\frac{-i x^{2} \pi  \mathrm{csgn}\left(i x \right)^{2} \mathrm{csgn}\left(i x^{2}\right)+2 i x^{2} \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)^{2}-i x^{2} \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}-4 x^{2} \ln \left(\ln \left(2\right)\right)+2 x^{3}-5 \,{\mathrm e}^{x}}{4 x}$&$87$\\ \hline \end{longtable}"," ",0,"1/2*x^2-5/4*exp(x)/x-1/2*x*ln(1/x^2)-x*ln(ln(2))","A"
10208,1,23,26,0.064000," ","int(1/2*(2*(-2*x*exp(1)^2-32*x^2)*ln(2)*exp(16*x/exp(1)^2)^2+2*exp(1)^2*ln(2)-2*x*exp(1)^2)/exp(1)^2/ln(2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{x^{2}}{2 \ln \left(2\right)}-{\mathrm e}^{32 x \,{\mathrm e}^{-2}} x^{2}$&$23$\\ derivativedivides&$\frac{-128 x^{2}+256 x \ln \left(2\right)-256 \ln \left(2\right) {\mathrm e}^{32 x \,{\mathrm e}^{-2}} x^{2}}{256 \ln \left(2\right)}$&$35$\\ norman&$\left(x \,{\mathrm e}-x^{2} {\mathrm e} \,{\mathrm e}^{32 x \,{\mathrm e}^{-2}}-\frac{{\mathrm e} x^{2}}{2 \ln \left(2\right)}\right) {\mathrm e}^{-1}$&$39$\\ default&$\frac{{\mathrm e}^{-2} \left(x \,{\mathrm e}^{2} \ln \left(2\right)-{\mathrm e}^{2} \ln \left(2\right) {\mathrm e}^{32 x \,{\mathrm e}^{-2}} x^{2}-\frac{x^{2} {\mathrm e}^{2}}{2}\right)}{\ln \left(2\right)}$&$49$\\ \hline \end{longtable}"," ",0,"x-1/2*x^2/ln(2)-exp(32*x*exp(-2))*x^2","A"
10209,1,63,18,0.098000," ","int(((2*x*ln(x)*ln(x*ln(x))-2*x^2*ln(x))*ln(-8*ln(x*ln(x))+8*x)+ln(x)*(x^2-x)-x)/(ln(x)*ln(x*ln(x))-x*ln(x))/ln(-8*ln(x*ln(x))+8*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{x^{2}}{\ln \left(-8 \ln \left(x \right)-8 \ln \left(\ln \left(x \right)\right)+4 i \pi  \,\mathrm{csgn}\left(i x \ln \left(x \right)\right) \left(-\mathrm{csgn}\left(i x \ln \left(x \right)\right)+\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i x \ln \left(x \right)\right)+\mathrm{csgn}\left(i \ln \left(x \right)\right)\right)+8 x \right)}$&$63$\\ \hline \end{longtable}"," ",0,"x^2/ln(-8*ln(x)-8*ln(ln(x))+4*I*Pi*csgn(I*x*ln(x))*(-csgn(I*x*ln(x))+csgn(I*x))*(-csgn(I*x*ln(x))+csgn(I*ln(x)))+8*x)","C"
10210,1,24,20,0.341000," ","int(1/4*(4*x*exp(3)*ln(x^2)+(-4*x+1)*exp(3)*exp(1/4/x)-24*x*exp(3))*exp(x*ln(x^2)-x*exp(1/4/x)-8*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{3} {\mathrm e}^{x \ln \left(x^{2}\right)-x \,{\mathrm e}^{\frac{1}{4 x}}-8 x}$&$24$\\ norman&${\mathrm e}^{3} {\mathrm e}^{x \ln \left(x^{2}\right)-x \,{\mathrm e}^{\frac{1}{4 x}}-8 x}$&$24$\\ risch&${\mathrm e}^{3-\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3} x}{2}+i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right) x -\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2} x}{2}+2 x \ln \left(x \right)-x \,{\mathrm e}^{\frac{1}{4 x}}-8 x}$&$73$\\ \hline \end{longtable}"," ",0,"exp(3)*exp(x*ln(x^2)-x*exp(1/4/x)-8*x)","A"
10211,1,23,23,0.046000," ","int(((x-2)*ln(-x^2+2*x)-3*x^3+6*x^2+3*x-4)/((x^2-2*x)*ln(-x^2+2*x)-x^4+2*x^3+x^2-4*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(x^{3}-\ln \left(-x^{2}+2 x \right) x -x +2\right)$&$23$\\ risch&$\ln \left(x \right)+\ln \left(\ln \left(-x^{2}+2 x \right)-\frac{x^{3}-x +2}{x}\right)$&$29$\\ \hline \end{longtable}"," ",0,"ln(x^3-ln(-x^2+2*x)*x-x+2)","A"
10212,1,18,30,0.170000," ","int((exp(x)^2+(2*exp(4)-2*x^2-75*x)*exp(x)+exp(4)^2-2*x^2*exp(4)+x^4+150*x^2)/(x*exp(x)^2+(2*x*exp(4)-2*x^3)*exp(x)+x*exp(4)^2-2*x^3*exp(4)+x^5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{75}{-x^{2}+{\mathrm e}^{4}+{\mathrm e}^{x}}+\ln \left(x \right)$&$18$\\ risch&$\frac{75}{-x^{2}+{\mathrm e}^{4}+{\mathrm e}^{x}}+\ln \left(x \right)$&$18$\\ \hline \end{longtable}"," ",0,"75/(-x^2+exp(4)+exp(x))+ln(x)","A"
10213,1,24,24,0.019000," ","int(((-623*x-8)*ln(x)-622*x^3+1246*x+12)/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{-4-623 x -622 x^{3}+623 x \ln \left(x \right)+4 \ln \left(x \right)}{x^{2}}$&$24$\\ risch&$\frac{\left(623 x +4\right) \ln \left(x \right)}{x^{2}}-\frac{622 x^{3}+623 x +4}{x^{2}}$&$28$\\ default&$-622 x +\frac{623 \ln \left(x \right)}{x}-\frac{623}{x}+\frac{4 \ln \left(x \right)}{x^{2}}-\frac{4}{x^{2}}$&$29$\\ \hline \end{longtable}"," ",0,"(-4-623*x-622*x^3+623*x*ln(x)+4*ln(x))/x^2","A"
10214,1,24,31,0.041000," ","int(((50*x^3-600*x^2+2400*x-3200)*ln(ln(x))+10*x*ln(x)+(50*x^3-600*x^2+2400*x-3200)*exp(exp(3)))/(x^4-12*x^3+48*x^2-64*x)/ln(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$25 \ln \left(\ln \left(x \right)\right)^{2}+50 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(\ln \left(x \right)\right)-\frac{5}{\left(x -4\right)^{2}}$&$24$\\ risch&$25 \ln \left(\ln \left(x \right)\right)^{2}+\frac{50 \ln \left(\ln \left(x \right)\right) {\mathrm e}^{{\mathrm e}^{3}} x^{2}-400 \ln \left(\ln \left(x \right)\right) {\mathrm e}^{{\mathrm e}^{3}} x +800 \,{\mathrm e}^{{\mathrm e}^{3}} \ln \left(\ln \left(x \right)\right)-5}{x^{2}-8 x +16}$&$51$\\ \hline \end{longtable}"," ",0,"25*ln(ln(x))^2+50*exp(exp(3))*ln(ln(x))-5/(x-4)^2","A"
10215,1,35,24,0.191000," ","int(((x^2-4*x+4)*exp(exp(1)-3)^2-6*exp(exp(1)-3))/((x^4-4*x^3+4*x^2)*exp(exp(1)-3)^2+(4*x^3-4*x^2-8*x)*exp(exp(1)-3)+4*x^2+8*x+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{\left(x -2\right) {\mathrm e}^{{\mathrm e}-3}}{{\mathrm e}^{{\mathrm e}-3} x^{2}-2 x \,{\mathrm e}^{{\mathrm e}-3}+2 x +2}$&$35$\\ risch&$\frac{-x \,{\mathrm e}^{{\mathrm e}-3}+2 \,{\mathrm e}^{{\mathrm e}-3}}{{\mathrm e}^{{\mathrm e}-3} x^{2}-2 x \,{\mathrm e}^{{\mathrm e}-3}+2 x +2}$&$42$\\ norman&$\frac{-{\mathrm e}^{2 \,{\mathrm e}} {\mathrm e}^{-6} x^{2}+\left(2 \,{\mathrm e}^{2 \,{\mathrm e}} {\mathrm e}^{-6}-3 \,{\mathrm e}^{{\mathrm e}} {\mathrm e}^{-3}\right) x}{{\mathrm e}^{{\mathrm e}-3} x^{2}-2 x \,{\mathrm e}^{{\mathrm e}-3}+2 x +2}$&$62$\\ default&$\frac{{\mathrm e}^{{\mathrm e}-3} \left(\munderset{\textit{\_R} =\RootOf \left(4+{\mathrm e}^{2 \,{\mathrm e}-6} \textit{\_Z}^{4}+\left(-4 \,{\mathrm e}^{2 \,{\mathrm e}-6}+4 \,{\mathrm e}^{{\mathrm e}-3}\right) \textit{\_Z}^{3}+\left(4 \,{\mathrm e}^{2 \,{\mathrm e}-6}-4 \,{\mathrm e}^{{\mathrm e}-3}+4\right) \textit{\_Z}^{2}+\left(-8 \,{\mathrm e}^{{\mathrm e}-3}+8\right) \textit{\_Z} \right)}{\sum}\frac{\left({\mathrm e}^{{\mathrm e}-3} \textit{\_R}^{2}-4 \textit{\_R} \,{\mathrm e}^{{\mathrm e}-3}+4 \,{\mathrm e}^{{\mathrm e}-3}-6\right) \ln \left(x -\textit{\_R} \right)}{2+{\mathrm e}^{2 \,{\mathrm e}-6} \textit{\_R}^{3}-3 \,{\mathrm e}^{2 \,{\mathrm e}-6} \textit{\_R}^{2}+2 \,{\mathrm e}^{2 \,{\mathrm e}-6} \textit{\_R} +3 \,{\mathrm e}^{{\mathrm e}-3} \textit{\_R}^{2}-2 \textit{\_R} \,{\mathrm e}^{{\mathrm e}-3}-2 \,{\mathrm e}^{{\mathrm e}-3}+2 \textit{\_R}}\right)}{4}$&$177$\\ \hline \end{longtable}"," ",0,"-(x-2)*exp(exp(1)-3)/(exp(exp(1)-3)*x^2-2*x*exp(exp(1)-3)+2*x+2)","A"
10216,1,16,18,0.085000," ","int(((-5*x^2-9*x)*exp(ln(4+5*x)+x+9)+10*x+8)/(5*x^2+4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 \ln \left(x \right)+\left(-5 x -4\right) {\mathrm e}^{x +9}$&$16$\\ norman&$-{\mathrm e}^{\ln \left(4+5 x \right)+x +9}+2 \ln \left(x \right)$&$18$\\ default&$2 \ln \left(x \right)-5 \,{\mathrm e}^{x +9} \left(x +9\right)+41 \,{\mathrm e}^{x +9}$&$21$\\ \hline \end{longtable}"," ",0,"2*ln(x)+(-5*x-4)*exp(x+9)","A"
10217,1,19,20,0.092000," ","int((10*x^4+2*x^2-24)/(5*x^3-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x^{2}-2 \ln \left(5 x^{2}-4\right)+6 \ln \left(x \right)$&$19$\\ norman&$x^{2}-2 \ln \left(5 x^{2}-4\right)+6 \ln \left(x \right)$&$19$\\ risch&$x^{2}-2 \ln \left(5 x^{2}-4\right)+6 \ln \left(x \right)$&$19$\\ meijerg&$-2 \ln \left(1-\frac{5 x^{2}}{4}\right)+6 \ln \left(x \right)+3 \ln \left(5\right)-6 \ln \left(2\right)+3 i \pi +x^{2}$&$31$\\ \hline \end{longtable}"," ",0,"x^2-2*ln(5*x^2-4)+6*ln(x)","A"
10218,1,21,23,0.072000," ","int(1/5*(20*exp(3)*exp(10-x)*ln(x)^2+8*x*ln(x)-4*x)/exp(3)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-4 \,{\mathrm e}^{10-x}+\frac{4 x^{2} {\mathrm e}^{-3}}{5 \ln \left(x \right)}$&$21$\\ default&$\frac{4 \,{\mathrm e}^{-3} \left(\frac{x^{2}}{\ln \left(x \right)}-5 \,{\mathrm e}^{3} {\mathrm e}^{10-x}\right)}{5}$&$26$\\ norman&$\frac{\frac{4 x^{2} {\mathrm e}^{-3}}{5}-4 \,{\mathrm e}^{10-x} \ln \left(x \right)}{\ln \left(x \right)}$&$26$\\ \hline \end{longtable}"," ",0,"-4*exp(10-x)+4/5*x^2/ln(x)*exp(-3)","A"
10219,1,128,34,0.364000," ","int(((8*x^5*exp(4+x)^2*ln(x)^2-8*x^6*exp(4+x)^2)*ln(-ln(x)^2+x)^5+((-2*x^3+4*x^2)*(ln(3)+I*Pi)^2*exp(4+x)*ln(x)^2+(2*x^4-4*x^3)*(ln(3)+I*Pi)^2*exp(4+x))*ln(-ln(x)^2+x)^3+(8*x^2*(ln(3)+I*Pi)^2*exp(4+x)*ln(x)-4*x^3*(ln(3)+I*Pi)^2*exp(4+x))*ln(-ln(x)^2+x)^2+(-(ln(3)+I*Pi)^4*ln(x)^2+x*(ln(3)+I*Pi)^4)*ln(-ln(x)^2+x)-2*(ln(3)+I*Pi)^4*ln(x)+x*(ln(3)+I*Pi)^4)/(4*x^5*ln(x)^2-4*x^6)/ln(-ln(x)^2+x)^5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x +8}+\frac{-16 i \pi  \ln \left(3\right) x^{2} {\mathrm e}^{4+x} \ln \left(-\ln \left(x \right)^{2}+x \right)^{2}+8 \pi^{2} x^{2} {\mathrm e}^{4+x} \ln \left(-\ln \left(x \right)^{2}+x \right)^{2}-8 \ln \left(3\right)^{2} x^{2} {\mathrm e}^{4+x} \ln \left(-\ln \left(x \right)^{2}+x \right)^{2}-4 i \ln \left(3\right) \pi^{3}+4 i \ln \left(3\right)^{3} \pi +\pi^{4}-6 \pi^{2} \ln \left(3\right)^{2}+\ln \left(3\right)^{4}}{16 x^{4} \ln \left(-\ln \left(x \right)^{2}+x \right)^{4}}$&$128$\\ \hline \end{longtable}"," ",0,"exp(2*x+8)+1/16*(-16*I*Pi*ln(3)*x^2*exp(4+x)*ln(-ln(x)^2+x)^2+8*Pi^2*x^2*exp(4+x)*ln(-ln(x)^2+x)^2-8*ln(3)^2*x^2*exp(4+x)*ln(-ln(x)^2+x)^2-4*I*ln(3)*Pi^3+4*I*ln(3)^3*Pi+Pi^4-6*Pi^2*ln(3)^2+ln(3)^4)/x^4/ln(-ln(x)^2+x)^4","B"
10220,1,37,31,0.856000," ","int(((3*x^2+12*x+12)*exp(5)*exp(x/exp(5))^2+(((6*x^2+12*x-8)*exp(1)-6*x^3-24*x^2-24*x)*exp(5)+(4*x^2+8*x)*exp(1))*exp(x/exp(5))+(3*x^2*exp(1)^2+(-6*x^3-16*x^2)*exp(1)+3*x^4+12*x^3+12*x^2)*exp(5))/((3*x^2+12*x+12)*exp(5)*exp(x/exp(5))^2+((6*x^2+12*x)*exp(1)-6*x^3-24*x^2-24*x)*exp(5)*exp(x/exp(5))+(3*x^2*exp(1)^2+(-6*x^3-12*x^2)*exp(1)+3*x^4+12*x^3+12*x^2)*exp(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{4 \,{\mathrm e} x}{3 \left(x \,{\mathrm e}-x^{2}+x \,{\mathrm e}^{x \,{\mathrm e}^{-5}}-2 x +2 \,{\mathrm e}^{x \,{\mathrm e}^{-5}}\right)}$&$37$\\ norman&$\frac{\left(2 \,{\mathrm e}-4\right) {\mathrm e}^{x \,{\mathrm e}^{-5}}+\left({\mathrm e}^{2}-\frac{16 \,{\mathrm e}}{3}+4\right) x +{\mathrm e}^{x \,{\mathrm e}^{-5}} x^{2}+{\mathrm e}^{x \,{\mathrm e}^{-5}} {\mathrm e} x -x^{3}}{x \,{\mathrm e}-x^{2}+x \,{\mathrm e}^{x \,{\mathrm e}^{-5}}-2 x +2 \,{\mathrm e}^{x \,{\mathrm e}^{-5}}}$&$89$\\ \hline \end{longtable}"," ",0,"x-4/3*exp(1)*x/(x*exp(1)-x^2+x*exp(x*exp(-5))-2*x+2*exp(x*exp(-5)))","A"
10221,1,24,25,0.076000," ","int((-162*ln(x)^2+(324*x^2+324*x+1620)*ln(x)+(-108*x^2-54*x+54)*ln(3)-162*x^4-324*x^3-1782*x^2-1620*x-4050)*exp(-ln(3)/(ln(x)-x^2-x-5))^2/(x^7*ln(x)^2+(-2*x^9-2*x^8-10*x^7)*ln(x)+x^11+2*x^10+11*x^9+10*x^8+25*x^7),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{27 \,3^{-\frac{2}{\ln \left(x \right)-x^{2}-x -5}}}{x^{6}}$&$24$\\ \hline \end{longtable}"," ",0,"27/x^6*((1/3)^(1/(ln(x)-x^2-x-5)))^2","A"
10222,1,25,24,0.211000," ","int((2*x*ln(x)^2+(-4*x*exp(1/x)-4*x^3-12*x^2+2*x)*ln(x)+2*x*exp(1/x)^2+(4*x^3+12*x^2-2*x-2)*exp(1/x)+2*x^5+12*x^4+20*x^3-2*x)/(x*ln(x)^2+(-2*x*exp(1/x)-2*x^3-6*x^2)*ln(x)+x*exp(1/x)^2+(2*x^3+6*x^2)*exp(1/x)+x^5+6*x^4+9*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x -\frac{2 x}{x^{2}+3 x +{\mathrm e}^{\frac{1}{x}}-\ln \left(x \right)}$&$25$\\ \hline \end{longtable}"," ",0,"2*x-2*x/(x^2+3*x+exp(1/x)-ln(x))","A"
10223,1,25,28,0.033000," ","int(1/5*((ln(2)+2)*ln(x)-ln(2)-10*x^3-5*x^2-4*x-2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(\ln \left(2\right)+2\right) \ln \left(x \right)}{5 x}-x^{2}-x -\frac{4 \ln \left(x \right)}{5}$&$25$\\ norman&$\frac{\left(-\frac{2}{5}-\frac{\ln \left(2\right)}{5}\right) \ln \left(x \right)-\frac{4 x \ln \left(x \right)}{5}-x^{2}-x^{3}}{x}$&$30$\\ default&$-x^{2}+\frac{\ln \left(2\right) \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)}{5}-x -\frac{2 \ln \left(x \right)}{5 x}+\frac{\ln \left(2\right)}{5 x}-\frac{4 \ln \left(x \right)}{5}$&$45$\\ \hline \end{longtable}"," ",0,"-1/5*(ln(2)+2)/x*ln(x)-x^2-x-4/5*ln(x)","A"
10224,1,12,11,0.030000," ","int(1/25*(-ln(10*x*ln(3))+1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\frac{\ln \left(10 x \ln \left(3\right)\right)}{25 x}$&$12$\\ default&$\frac{\ln \left(10 x \ln \left(3\right)\right)}{25 x}$&$12$\\ norman&$\frac{\ln \left(10 x \ln \left(3\right)\right)}{25 x}$&$12$\\ risch&$\frac{\ln \left(10 x \ln \left(3\right)\right)}{25 x}$&$12$\\ \hline \end{longtable}"," ",0,"1/25*ln(10*x*ln(3))/x","A"
10225,1,17,16,0.035000," ","int((ln(x)^2+(2*exp(x^2+6*x+9)+17)*ln(x)+exp(x^2+6*x+9)^2+(-2*x^2-6*x+17)*exp(x^2+6*x+9)+71)/(ln(x)^2+(2*exp(x^2+6*x+9)+16)*ln(x)+exp(x^2+6*x+9)^2+16*exp(x^2+6*x+9)+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{x}{\ln \left(x \right)+8+{\mathrm e}^{\left(3+x \right)^{2}}}$&$17$\\ \hline \end{longtable}"," ",0,"x+x/(ln(x)+8+exp((3+x)^2))","A"
10226,1,45,25,0.046000," ","int(((-2*x^2*exp(exp(1))^4+24*x^2*exp(exp(1))^3-108*x^2*exp(exp(1))^2+216*x^2*exp(exp(1))-162*x^2-1)*ln(1/x)+1)/x/ln(1/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\frac{1}{x}\right)+\left(-{\mathrm e}^{4 \,{\mathrm e}}+12 \,{\mathrm e}^{3 \,{\mathrm e}}-54 \,{\mathrm e}^{2 \,{\mathrm e}}+108 \,{\mathrm e}^{{\mathrm e}}-81\right) x^{2}-\ln \left(\ln \left(\frac{1}{x}\right)\right)$&$45$\\ derivativedivides&$-x^{2} {\mathrm e}^{4 \,{\mathrm e}}+12 x^{2} {\mathrm e}^{3 \,{\mathrm e}}-54 x^{2} {\mathrm e}^{2 \,{\mathrm e}}+\ln \left(\frac{1}{x}\right)+108 x^{2} {\mathrm e}^{{\mathrm e}}-\ln \left(\ln \left(\frac{1}{x}\right)\right)-81 x^{2}$&$56$\\ default&$-x^{2} {\mathrm e}^{4 \,{\mathrm e}}+12 x^{2} {\mathrm e}^{3 \,{\mathrm e}}-54 x^{2} {\mathrm e}^{2 \,{\mathrm e}}+\ln \left(\frac{1}{x}\right)+108 x^{2} {\mathrm e}^{{\mathrm e}}-\ln \left(\ln \left(\frac{1}{x}\right)\right)-81 x^{2}$&$56$\\ risch&$-x^{2} {\mathrm e}^{4 \,{\mathrm e}}+12 x^{2} {\mathrm e}^{3 \,{\mathrm e}}-54 x^{2} {\mathrm e}^{2 \,{\mathrm e}}+108 x^{2} {\mathrm e}^{{\mathrm e}}-81 x^{2}-\ln \left(x \right)-\ln \left(\ln \left(\frac{1}{x}\right)\right)$&$56$\\ \hline \end{longtable}"," ",0,"ln(1/x)+(-exp(exp(1))^4+12*exp(exp(1))^3-54*exp(exp(1))^2+108*exp(exp(1))-81)*x^2-ln(ln(1/x))","A"
10227,1,13,14,0.018000," ","int((16*x^2-8*x)*ln(3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{4 \ln \left(3\right) \left(4 x -3\right) x^{2}}{3}$&$13$\\ default&$\ln \left(3\right) \left(\frac{16}{3} x^{3}-4 x^{2}\right)$&$15$\\ norman&$-4 x^{2} \ln \left(3\right)+\frac{16 x^{3} \ln \left(3\right)}{3}$&$16$\\ risch&$-4 x^{2} \ln \left(3\right)+\frac{16 x^{3} \ln \left(3\right)}{3}$&$16$\\ \hline \end{longtable}"," ",0,"4/3*ln(3)*(4*x-3)*x^2","A"
10228,1,9,14,0.008000," ","int(80/3*x+1/3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$\frac{x \left(40 x +1\right)}{3}$&$9$\\ default&$\frac{40}{3} x^{2}+\frac{1}{3} x$&$10$\\ norman&$\frac{40}{3} x^{2}+\frac{1}{3} x$&$10$\\ risch&$\frac{40}{3} x^{2}+\frac{1}{3} x$&$10$\\ \hline \end{longtable}"," ",0,"1/3*x*(40*x+1)","A"
10229,1,37,27,0.111000," ","int((100*ln(ln(1/2*x))^3+(8*x^2*ln(2)^2-8*x^2*ln(2)+2*x^2)*ln(1/2*x)*ln(x)^2+(8*x^2*ln(2)^2-8*x^2*ln(2)+2*x^2)*ln(1/2*x)*ln(x)+(4*x*ln(2)^2-4*x*ln(2)+x)*ln(1/2*x))/(4*x*ln(2)^2-4*x*ln(2)+x)/ln(1/2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +x^{2} \ln \left(x \right)^{2}+\frac{25 \ln \left(\ln \left(x \right)-\ln \left(2\right)\right)^{4}}{4 \ln \left(2\right)^{2}-4 \ln \left(2\right)+1}$&$37$\\ risch&$x +x^{2} \ln \left(x \right)^{2}+\frac{25 \ln \left(\ln \left(x \right)-\ln \left(2\right)\right)^{4}}{4 \ln \left(2\right)^{2}-4 \ln \left(2\right)+1}$&$37$\\ \hline \end{longtable}"," ",0,"x+x^2*ln(x)^2+25/(4*ln(2)^2-4*ln(2)+1)*ln(ln(x)-ln(2))^4","A"
10230,1,36,20,0.272000," ","int(((-9*exp(1)+78*x-1965)*exp(x-3)-9*exp(1)^2+(156*x-3774)*exp(1)-676*x^2+32708*x-395641)/(9*exp(1)^2+(-156*x+3774)*exp(1)+676*x^2-32708*x+395641),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{26 x^{2}-3 \,{\mathrm e}^{x -3}-\frac{395641}{26}-\frac{9 \,{\mathrm e}^{2}}{26}-\frac{1887 \,{\mathrm e}}{13}}{3 \,{\mathrm e}-26 x +629}$&$36$\\ derivativedivides&$\frac{303601}{26 \left(3 \,{\mathrm e}-26 x +629\right)}+\frac{26 \left(x -3\right)^{2}-\frac{9 \,{\mathrm e}^{2}}{13}-\frac{3306 \,{\mathrm e}}{13}-\frac{303601}{13}}{3 \,{\mathrm e}-26 x +629}+\frac{9 \,{\mathrm e}^{2}}{26 \left(3 \,{\mathrm e}-26 x +629\right)}-\frac{1731 \,{\mathrm e}^{x -3}}{26 \left(3 \,{\mathrm e}-26 x +629\right)}+\frac{1731 \,{\mathrm e}^{\frac{3 \,{\mathrm e}}{26}+\frac{551}{26}} \expIntegralEi \left(1, \frac{629}{26}+\frac{3 \,{\mathrm e}}{26}-x \right)}{676}+\frac{1653 \,{\mathrm e}}{13 \left(3 \,{\mathrm e}-26 x +629\right)}+\frac{3 \,{\mathrm e}^{x -3} \left(3 \,{\mathrm e}+551\right)}{26 \left(3 \,{\mathrm e}-26 x +629\right)}-78 \left(\frac{3 \,{\mathrm e}}{17576}+\frac{577}{17576}\right) {\mathrm e}^{\frac{3 \,{\mathrm e}}{26}+\frac{551}{26}} \expIntegralEi \left(1, \frac{629}{26}+\frac{3 \,{\mathrm e}}{26}-x \right)-9 \,{\mathrm e} \left(\frac{{\mathrm e}^{x -3}}{78 \,{\mathrm e}-676 x +16354}-\frac{{\mathrm e}^{\frac{3 \,{\mathrm e}}{26}+\frac{551}{26}} \expIntegralEi \left(1, \frac{629}{26}+\frac{3 \,{\mathrm e}}{26}-x \right)}{676}\right)$&$206$\\ default&$\frac{303601}{26 \left(3 \,{\mathrm e}-26 x +629\right)}+\frac{26 \left(x -3\right)^{2}-\frac{9 \,{\mathrm e}^{2}}{13}-\frac{3306 \,{\mathrm e}}{13}-\frac{303601}{13}}{3 \,{\mathrm e}-26 x +629}+\frac{9 \,{\mathrm e}^{2}}{26 \left(3 \,{\mathrm e}-26 x +629\right)}-\frac{1731 \,{\mathrm e}^{x -3}}{26 \left(3 \,{\mathrm e}-26 x +629\right)}+\frac{1731 \,{\mathrm e}^{\frac{3 \,{\mathrm e}}{26}+\frac{551}{26}} \expIntegralEi \left(1, \frac{629}{26}+\frac{3 \,{\mathrm e}}{26}-x \right)}{676}+\frac{1653 \,{\mathrm e}}{13 \left(3 \,{\mathrm e}-26 x +629\right)}+\frac{3 \,{\mathrm e}^{x -3} \left(3 \,{\mathrm e}+551\right)}{26 \left(3 \,{\mathrm e}-26 x +629\right)}-78 \left(\frac{3 \,{\mathrm e}}{17576}+\frac{577}{17576}\right) {\mathrm e}^{\frac{3 \,{\mathrm e}}{26}+\frac{551}{26}} \expIntegralEi \left(1, \frac{629}{26}+\frac{3 \,{\mathrm e}}{26}-x \right)-9 \,{\mathrm e} \left(\frac{{\mathrm e}^{x -3}}{78 \,{\mathrm e}-676 x +16354}-\frac{{\mathrm e}^{\frac{3 \,{\mathrm e}}{26}+\frac{551}{26}} \expIntegralEi \left(1, \frac{629}{26}+\frac{3 \,{\mathrm e}}{26}-x \right)}{676}\right)$&$206$\\ \hline \end{longtable}"," ",0,"(26*x^2-3*exp(x-3)-395641/26-9/26*exp(1)^2-1887/13*exp(1))/(3*exp(1)-26*x+629)","A"
10231,1,24,23,0.052000," ","int((((8*x^7-14*x^6)*exp(5)-8*x^8+16*x^7)*exp(x)^4+8*x^14*exp(5))/(exp(x)^8+8*x^8*exp(x)^4+16*x^16),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2 \left({\mathrm e}^{5}-x \right) x^{7}}{4 x^{8}+{\mathrm e}^{4 x}}$&$24$\\ \hline \end{longtable}"," ",0,"-2*(exp(5)-x)*x^7/(4*x^8+exp(4*x))","A"
10232,1,53,28,0.092000," ","int(((((-exp(x)+6*x^5)*ln(ln(3))+exp(x)*x-6*x^6)*exp(exp(x))-exp(x^6))*exp(exp(exp(x))/exp(x^6))+(1-2*x)*exp(x^6)*ln(ln(3))+x^2*exp(x^6))/(exp(x^6)*ln(ln(3))^2-2*x*exp(x^6)*ln(ln(3))+x^2*exp(x^6)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{\ln \left(\ln \left(3\right)\right)^{2}}{\ln \left(\ln \left(3\right)\right)-x}+\frac{\ln \left(\ln \left(3\right)\right)}{\ln \left(\ln \left(3\right)\right)-x}-\frac{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}-x^{6}}}}{\ln \left(\ln \left(3\right)\right)-x}$&$53$\\ \hline \end{longtable}"," ",0,"x-ln(ln(3))^2/(ln(ln(3))-x)+ln(ln(3))/(ln(ln(3))-x)-1/(ln(ln(3))-x)*exp(exp(exp(x)-x^6))","A"
10233,1,14,29,0.020000," ","int((36*ln(x)+2*x^2+38*x)/(x^2*ln(x)+x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{36}{x}+2 \ln \left(x +\ln \left(x \right)\right)$&$14$\\ risch&$-\frac{36}{x}+2 \ln \left(x +\ln \left(x \right)\right)$&$14$\\ \hline \end{longtable}"," ",0,"-36/x+2*ln(x+ln(x))","A"
10234,1,22,16,0.086000," ","int(((3+x)*x^6+(2*x+3)*ln(2)*x^3+x*ln(2)^2-4*x)/(x^7+2*x^4*ln(2)+x*ln(2)^2-4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\frac{\ln \left(x^{6}+2 x^{3} \ln \left(2\right)+\ln \left(2\right)^{2}-4\right)}{2}$&$22$\\ default&$x +\frac{\ln \left(x^{3}+\ln \left(2\right)+2\right)}{2}+\frac{\ln \left(x^{3}+\ln \left(2\right)-2\right)}{2}$&$23$\\ norman&$x +\frac{\ln \left(x^{3}+\ln \left(2\right)+2\right)}{2}+\frac{\ln \left(x^{3}+\ln \left(2\right)-2\right)}{2}$&$23$\\ \hline \end{longtable}"," ",0,"x+1/2*ln(x^6+2*x^3*ln(2)+ln(2)^2-4)","A"
10235,1,17,19,0.082000," ","int(((x^2-6)*exp(x)-2*x-2)/(exp(x)^2+2*exp(x)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{x^{2}+2 x -4}{{\mathrm e}^{x}+1}$&$17$\\ norman&$\frac{-x^{2}-2 x +4}{{\mathrm e}^{x}+1}$&$18$\\ \hline \end{longtable}"," ",0,"-(x^2+2*x-4)/(exp(x)+1)","A"
10236,1,15,17,0.141000," ","int((-20*exp(1)^2+20*x*exp(1)-5*x^2+20)/(4*exp(1)^2-4*x*exp(1)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-5 x +\frac{10}{{\mathrm e}-\frac{x}{2}}$&$15$\\ norman&$\frac{5 x^{2}+20-20 \,{\mathrm e}^{2}}{2 \,{\mathrm e}-x}$&$25$\\ gosper&$-\frac{5 \left(-x^{2}-4+4 \,{\mathrm e}^{2}\right)}{2 \,{\mathrm e}-x}$&$26$\\ meijerg&$-\frac{5 x}{1-\frac{{\mathrm e}^{-1} x}{2}}+\frac{5 \,{\mathrm e}^{-2} x}{1-\frac{{\mathrm e}^{-1} x}{2}}+20 \,{\mathrm e} \left(\frac{{\mathrm e}^{-1} x}{2-{\mathrm e}^{-1} x}+\ln \left(1-\frac{{\mathrm e}^{-1} x}{2}\right)\right)+10 \,{\mathrm e} \left(-\frac{x \,{\mathrm e}^{-1} \left(-\frac{3 \,{\mathrm e}^{-1} x}{2}+6\right)}{6 \left(1-\frac{{\mathrm e}^{-1} x}{2}\right)}-2 \ln \left(1-\frac{{\mathrm e}^{-1} x}{2}\right)\right)$&$91$\\ \hline \end{longtable}"," ",0,"-5*x+10/(exp(1)-1/2*x)","A"
10237,1,35,31,0.027000," ","int(-200*x*ln(2)^2+2*(150*exp(4)+150*x^2)*ln(2)-300*x*exp(4)-100*x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$25 x \left(-4 x \ln \left(2\right)^{2}+4 x^{2} \ln \left(2\right)-x^{3}+12 \,{\mathrm e}^{4} \ln \left(2\right)-6 x \,{\mathrm e}^{4}\right)$&$35$\\ norman&$\left(-100 \ln \left(2\right)^{2}-150 \,{\mathrm e}^{4}\right) x^{2}-25 x^{4}+100 x^{3} \ln \left(2\right)+300 x \,{\mathrm e}^{4} \ln \left(2\right)$&$36$\\ risch&$-100 x^{2} \ln \left(2\right)^{2}+300 x \,{\mathrm e}^{4} \ln \left(2\right)+100 x^{3} \ln \left(2\right)-150 x^{2} {\mathrm e}^{4}-25 x^{4}$&$37$\\ default&$-100 x^{2} \ln \left(2\right)^{2}+2 \ln \left(2\right) \left(150 x \,{\mathrm e}^{4}+50 x^{3}\right)-150 x^{2} {\mathrm e}^{4}-25 x^{4}$&$38$\\ \hline \end{longtable}"," ",0,"25*x*(-4*x*ln(2)^2+4*x^2*ln(2)-x^3+12*exp(4)*ln(2)-6*x*exp(4))","A"
10238,1,22,22,0.144000," ","int((-2*x^4+7*x^2+6*x)*exp(x^2/(4*x^3+6*x^2+14*x+6))/(8*x^6+24*x^5+74*x^4+108*x^3+134*x^2+84*x+18),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{x^{2}}{2 \left(2 x +1\right) \left(x^{2}+x +3\right)}}$&$22$\\ gosper&${\mathrm e}^{\frac{x^{2}}{4 x^{3}+6 x^{2}+14 x +6}}$&$24$\\ norman&$\frac{7 x \,{\mathrm e}^{\frac{x^{2}}{4 x^{3}+6 x^{2}+14 x +6}}+3 x^{2} {\mathrm e}^{\frac{x^{2}}{4 x^{3}+6 x^{2}+14 x +6}}+2 x^{3} {\mathrm e}^{\frac{x^{2}}{4 x^{3}+6 x^{2}+14 x +6}}+3 \,{\mathrm e}^{\frac{x^{2}}{4 x^{3}+6 x^{2}+14 x +6}}}{2 x^{3}+3 x^{2}+7 x +3}$&$123$\\ \hline \end{longtable}"," ",0,"exp(1/2*x^2/(2*x+1)/(x^2+x+3))","A"
10239,1,28,30,0.080000," ","int(((x^7-7*x^6-x^4+7*x^3-9*x^2)*exp(x)+5*x^8-30*x^7+63*x^6-2*x^5+18*x^4-66*x^3+81*x^2)/(2*exp(x)^2+(-4*x^2+20*x-36)*exp(x)+2*x^4-20*x^3+86*x^2-180*x+162),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{4}-x +3\right) x^{3}}{2 x^{2}-10 x -2 \,{\mathrm e}^{x}+18}$&$28$\\ norman&$\frac{\frac{3}{2} x^{3}-\frac{1}{2} x^{4}+\frac{1}{2} x^{7}}{x^{2}-5 x -{\mathrm e}^{x}+9}$&$32$\\ \hline \end{longtable}"," ",0,"1/2*(x^4-x+3)*x^3/(x^2-5*x-exp(x)+9)","A"
10240,1,19,19,0.038000," ","int(((6*exp(x)*x+12*x^2)*exp(3*x^2)+2*exp(x)^2+(4*x+1)*exp(x)+2)/(exp(x)+2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$2 \,{\mathrm e}^{x}+{\mathrm e}^{3 x^{2}}+\ln \left({\mathrm e}^{x}+2 x \right)$&$19$\\ risch&$2 \,{\mathrm e}^{x}+{\mathrm e}^{3 x^{2}}+\ln \left({\mathrm e}^{x}+2 x \right)$&$19$\\ \hline \end{longtable}"," ",0,"2*exp(x)+exp(3*x^2)+ln(exp(x)+2*x)","A"
10241,1,46,28,0.076000," ","int((((-x^2-4*x)*exp(x)-2*x^3-8*x^2+2*x+4)*exp(x^2)*exp(exp(x))+((-4*x^4-34*x^3-78*x^2-16*x+32)*exp(x)+2*x^4+8*x^3-x^2)*exp(x^2))/(x^4+8*x^3+16*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{\left(2 \,{\mathrm e}^{x} x -x +8 \,{\mathrm e}^{x}\right) {\mathrm e}^{x^{2}}}{\left(4+x \right) x}-\frac{{\mathrm e}^{x^{2}+{\mathrm e}^{x}}}{x \left(4+x \right)}$&$46$\\ \hline \end{longtable}"," ",0,"-(2*exp(x)*x-x+8*exp(x))/(4+x)/x*exp(x^2)-1/x/(4+x)*exp(x^2+exp(x))","A"
10242,1,55,23,0.123000," ","int((((20*x^3+220*x^2+700*x+500)*exp(x)-12*x^2-120*x-300)*ln(x)+(-15*x^4-240*x^3-1215*x^2-2150*x-500)*exp(x)+18*x^3+204*x^2+690*x+300)/(4*x^2+40*x+100),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(5 \,{\mathrm e}^{x} x -3 x \right) \ln \left(x \right)-\frac{15 \,{\mathrm e}^{x} x^{3}-9 x^{3}+135 \,{\mathrm e}^{x} x^{2}-81 x^{2}+200 \,{\mathrm e}^{x} x -180 x -300}{4 \left(5+x \right)}$&$55$\\ default&$\frac{-135 \,{\mathrm e}^{x} x^{2}-200 \,{\mathrm e}^{x} x -15 \,{\mathrm e}^{x} x^{3}+20 x^{2} {\mathrm e}^{x} \ln \left(x \right)+100 x \,{\mathrm e}^{x} \ln \left(x \right)}{20+4 x}+\frac{9 x^{2}}{4}+9 x +\frac{75}{5+x}-3 x \ln \left(x \right)$&$65$\\ norman&$\frac{\frac{81 x^{2}}{4}+\frac{9 x^{3}}{4}-15 x \ln \left(x \right)-3 x^{2} \ln \left(x \right)-50 \,{\mathrm e}^{x} x -\frac{135 \,{\mathrm e}^{x} x^{2}}{4}-\frac{15 \,{\mathrm e}^{x} x^{3}}{4}+25 x \,{\mathrm e}^{x} \ln \left(x \right)+5 x^{2} {\mathrm e}^{x} \ln \left(x \right)-150}{5+x}$&$66$\\ \hline \end{longtable}"," ",0,"(5*exp(x)*x-3*x)*ln(x)-1/4*(15*exp(x)*x^3-9*x^3+135*exp(x)*x^2-81*x^2+200*exp(x)*x-180*x-300)/(5+x)","B"
10243,1,32,28,0.098000," ","int(((64*x^5+96*x^4-2560*x^3+2560*x^2+8192*x)*exp(2*x)+96*x^3+1152*x^2-24576)/(x^2+16*x+64),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$48 x^{2}-384 x +\frac{32 x^{2} \left(x^{2}-8 x +16\right) {\mathrm e}^{2 x}}{x +8}$&$32$\\ norman&$\frac{48 x^{3}+512 \,{\mathrm e}^{2 x} x^{2}-256 \,{\mathrm e}^{2 x} x^{3}+32 \,{\mathrm e}^{2 x} x^{4}+24576}{x +8}$&$41$\\ derivativedivides&$48 x^{2}-384 x +\frac{589824 \,{\mathrm e}^{2 x}}{2 x +16}-36864 \,{\mathrm e}^{2 x}+4608 x \,{\mathrm e}^{2 x}-512 \,{\mathrm e}^{2 x} x^{2}+32 \,{\mathrm e}^{2 x} x^{3}$&$54$\\ default&$48 x^{2}-384 x +\frac{589824 \,{\mathrm e}^{2 x}}{2 x +16}-36864 \,{\mathrm e}^{2 x}+4608 x \,{\mathrm e}^{2 x}-512 \,{\mathrm e}^{2 x} x^{2}+32 \,{\mathrm e}^{2 x} x^{3}$&$54$\\ \hline \end{longtable}"," ",0,"48*x^2-384*x+32*x^2*(x^2-8*x+16)/(x+8)*exp(2*x)","A"
10244,1,29,24,0.079000," ","int((4*ln(2*exp(x))-4*ln(2)^2+32*ln(2)+x^2-4*x-64)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{4 \ln \left({\mathrm e}^{x}\right)}{x}+\frac{64+4 \ln \left(2\right)^{2}+x^{2}-36 \ln \left(2\right)}{x}$&$29$\\ norman&$\frac{x \ln \left(2 \,{\mathrm e}^{x}\right)+64-4 \ln \left(2 \,{\mathrm e}^{x}\right)+4 \ln \left(2\right)^{2}-32 \ln \left(2\right)}{x}$&$31$\\ default&$-\frac{4 \ln \left(2 \,{\mathrm e}^{x}\right)}{x}+x +\frac{4 \ln \left(2\right)^{2}}{x}-\frac{32 \ln \left(2\right)}{x}+\frac{64}{x}$&$34$\\ \hline \end{longtable}"," ",0,"-4/x*ln(exp(x))+(64+4*ln(2)^2+x^2-36*ln(2))/x","A"
10245,1,22,12,0.093000," ","int(1/5000*(-9*x-9)*exp(1/10000*(-10000*exp(x)^2*x^2+9)/exp(x)^2/x^2)/exp(x)^2/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{\frac{\left(-10000 \,{\mathrm e}^{2 x} x^{2}+9\right) {\mathrm e}^{-2 x}}{10000 x^{2}}}$&$22$\\ risch&${\mathrm e}^{-\frac{\left(10000 \,{\mathrm e}^{2 x} x^{2}-9\right) {\mathrm e}^{-2 x}}{10000 x^{2}}}$&$22$\\ \hline \end{longtable}"," ",0,"exp(1/10000*(-10000*exp(x)^2*x^2+9)/exp(x)^2/x^2)","A"
10246,1,13,17,0.016000," ","int((4*x^3+2*x^2-1)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$2 x^{2}+2 x +\frac{1}{x}$&$13$\\ risch&$2 x^{2}+2 x +\frac{1}{x}$&$13$\\ gosper&$\frac{2 x^{3}+2 x^{2}+1}{x}$&$17$\\ norman&$\frac{2 x^{3}+2 x^{2}+1}{x}$&$17$\\ \hline \end{longtable}"," ",0,"2*x^2+2*x+1/x","A"
10247,1,26,46,0.438000," ","int(((2*x^4-19*x^3+1215*x^2+6831*x+27)*exp((64*x^2+768*x+2304)/(x^2-6*x+9))+2*x^4-25*x^3+117*x^2-243*x+189)*exp(x)^2/((x^5-9*x^4+27*x^3-27*x^2)*exp((64*x^2+768*x+2304)/(x^2-6*x+9))^2+(2*x^5-24*x^4+108*x^3-216*x^2+162*x)*exp((64*x^2+768*x+2304)/(x^2-6*x+9))+x^5-15*x^4+90*x^3-270*x^2+405*x-243),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{2 x}}{x \,{\mathrm e}^{\frac{64 \left(x +6\right)^{2}}{\left(x -3\right)^{2}}}+x -3}$&$26$\\ \hline \end{longtable}"," ",0,"exp(2*x)/(x*exp(64*(x+6)^2/(x-3)^2)+x-3)","A"
10248,1,13,17,0.053000," ","int(1/((x+exp(1))*ln(5*exp(1)+5*x)-2*exp(1)-2*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(\ln \left(5 \,{\mathrm e}+5 x \right)-2\right)$&$13$\\ default&$\ln \left(\ln \left(5 \,{\mathrm e}+5 x \right)-2\right)$&$13$\\ norman&$\ln \left(\ln \left(5 \,{\mathrm e}+5 x \right)-2\right)$&$13$\\ risch&$\ln \left(\ln \left(5 \,{\mathrm e}+5 x \right)-2\right)$&$13$\\ \hline \end{longtable}"," ",0,"ln(ln(5*exp(1)+5*x)-2)","A"
10249,1,61,20,0.116000," ","int(((4*x^3+20*x)*exp(5)^3+(-12*x^4-240*x^3-60*x^2-1212*x)*exp(5)^2+(12*x^5+480*x^4+4860*x^3+2418*x^2+24480*x-30)*exp(5)-4*x^6-240*x^5-4820*x^4-33206*x^3-24360*x^2-164770*x+618)/(exp(5)^3+(-3*x-60)*exp(5)^2+(3*x^2+120*x+1200)*exp(5)-x^3-60*x^2-1200*x-8000),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{4}+10 x^{2}+6 x +\frac{\left(6 \,{\mathrm e}^{10}-240 \,{\mathrm e}^{5}+2430\right) x -6 \,{\mathrm e}^{15}+360 \,{\mathrm e}^{10}-7230 \,{\mathrm e}^{5}+48609}{{\mathrm e}^{10}-2 x \,{\mathrm e}^{5}+x^{2}-40 \,{\mathrm e}^{5}+40 x +400}$&$61$\\ norman&$\frac{x^{6}+\left(-20 \,{\mathrm e}^{5}+406\right) x^{3}+\left(-2 \,{\mathrm e}^{5}+40\right) x^{5}+\left({\mathrm e}^{10}-40 \,{\mathrm e}^{5}+410\right) x^{4}+\left(20 \,{\mathrm e}^{15}-1212 \,{\mathrm e}^{10}+24480 \,{\mathrm e}^{5}-164770\right) x -10 \,{\mathrm e}^{20}+806 \,{\mathrm e}^{15}-24360 \,{\mathrm e}^{10}+327170 \,{\mathrm e}^{5}-1647391}{\left({\mathrm e}^{5}-x -20\right)^{2}}$&$92$\\ default&$x^{4}+10 x^{2}+6 x -2 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{3}+\left(-3 \,{\mathrm e}^{5}+60\right) \textit{\_Z}^{2}+\left(-120 \,{\mathrm e}^{5}+3 \,{\mathrm e}^{10}+1200\right) \textit{\_Z} -1200 \,{\mathrm e}^{5}+60 \,{\mathrm e}^{10}-{\mathrm e}^{15}+8000\right)}{\sum}\frac{\left(8103-40 \textit{\_R} \,{\mathrm e}^{5}+\textit{\_R} \,{\mathrm e}^{10}-1205 \,{\mathrm e}^{5}+60 \,{\mathrm e}^{10}-{\mathrm e}^{15}+405 \textit{\_R} \right) \ln \left(x -\textit{\_R} \right)}{400+{\mathrm e}^{10}-2 \textit{\_R} \,{\mathrm e}^{5}+\textit{\_R}^{2}-40 \,{\mathrm e}^{5}+40 \textit{\_R}}\right)$&$112$\\ gosper&$-\frac{-x^{4} {\mathrm e}^{10}+2 x^{5} {\mathrm e}^{5}-x^{6}+40 x^{4} {\mathrm e}^{5}-40 x^{5}+10 \,{\mathrm e}^{20}-20 x \,{\mathrm e}^{15}+20 x^{3} {\mathrm e}^{5}-410 x^{4}-806 \,{\mathrm e}^{15}+1212 x \,{\mathrm e}^{10}-406 x^{3}+24360 \,{\mathrm e}^{10}-24480 x \,{\mathrm e}^{5}-327170 \,{\mathrm e}^{5}+164770 x +1647391}{{\mathrm e}^{10}-2 x \,{\mathrm e}^{5}+x^{2}-40 \,{\mathrm e}^{5}+40 x +400}$&$122$\\ \hline \end{longtable}"," ",0,"x^4+10*x^2+6*x+((6*exp(10)-240*exp(5)+2430)*x-6*exp(15)+360*exp(10)-7230*exp(5)+48609)/(exp(10)-2*x*exp(5)+x^2-40*exp(5)+40*x+400)","B"
10250,1,23,21,0.079000," ","int(((144*x^3+72*x^2)*exp(5)*exp(4*x)+(36*x^2-18)*exp(5))*exp(2*x^2*exp(4*x)+x^2)^2/x^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 \,{\mathrm e}^{4 x^{2} {\mathrm e}^{4 x}+2 x^{2}+5}}{x^{2}}$&$23$\\ norman&$\frac{9 \,{\mathrm e}^{5} {\mathrm e}^{4 x^{2} {\mathrm e}^{4 x}+2 x^{2}}}{x^{2}}$&$24$\\ \hline \end{longtable}"," ",0,"9/x^2*exp(4*x^2*exp(4*x)+2*x^2+5)","A"
10251,1,21,19,0.027000," ","int((exp(x)+(3*x^2-8*x+2)*exp(2)^2)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +\left(-3 x^{2} {\mathrm e}^{4}+2 x \,{\mathrm e}^{4}\right) {\mathrm e}^{-x}$&$21$\\ norman&$\left({\mathrm e}^{x} x +2 x \,{\mathrm e}^{4}-3 x^{2} {\mathrm e}^{4}\right) {\mathrm e}^{-x}$&$27$\\ default&$x -2 \,{\mathrm e}^{-x} {\mathrm e}^{4}-8 \,{\mathrm e}^{4} \left(-x \,{\mathrm e}^{-x}-{\mathrm e}^{-x}\right)+3 \,{\mathrm e}^{4} \left(-x^{2} {\mathrm e}^{-x}-2 x \,{\mathrm e}^{-x}-2 \,{\mathrm e}^{-x}\right)$&$62$\\ \hline \end{longtable}"," ",0,"x+(-3*x^2*exp(4)+2*x*exp(4))*exp(-x)","A"
10252,1,20,20,0.425000," ","int(((-6*x+10)*ln(3)^4*exp(ln(3)^4/(625*x^6-12500*x^5+93750*x^4-312500*x^3+390625*x^2))-625*x^8+15625*x^7-156250*x^6+781250*x^5-1953125*x^4+1953125*x^3)/(625*x^8-15625*x^7+156250*x^6-781250*x^5+1953125*x^4-1953125*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +{\mathrm e}^{\frac{\ln \left(3\right)^{4}}{625 x^{2} \left(x -5\right)^{4}}}$&$20$\\ \hline \end{longtable}"," ",0,"-x+exp(1/625*ln(3)^4/x^2/(x-5)^4)","A"
10253,1,18,20,0.054000," ","int(1/2*((4*exp(x)^2+20*exp(x))*exp(-exp(x)+11/4)+exp(x)*x+1)/exp(-exp(x)+11/4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{2 x}+10 \,{\mathrm e}^{x}+\frac{x \,{\mathrm e}^{{\mathrm e}^{x}-\frac{11}{4}}}{2}$&$18$\\ norman&$\left({\mathrm e}^{2 x} {\mathrm e}^{-{\mathrm e}^{x}+\frac{11}{4}}+\frac{x}{2}+10 \,{\mathrm e}^{x} {\mathrm e}^{-{\mathrm e}^{x}+\frac{11}{4}}\right) {\mathrm e}^{{\mathrm e}^{x}-\frac{11}{4}}$&$38$\\ \hline \end{longtable}"," ",0,"exp(2*x)+10*exp(x)+1/2*x*exp(exp(x)-11/4)","A"
10254,1,3,2,0.009000," ","int(exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{x}$&$3$\\ lookup&${\mathrm e}^{x}$&$3$\\ derivativedivides&${\mathrm e}^{x}$&$3$\\ default&${\mathrm e}^{x}$&$3$\\ norman&${\mathrm e}^{x}$&$3$\\ risch&${\mathrm e}^{x}$&$3$\\ meijerg&${\mathrm e}^{x}-1$&$5$\\ \hline \end{longtable}"," ",0,"exp(x)","A"
10255,1,20,21,0.059000," ","int(((-3*x+3)*exp(4)*exp(exp(4)-x)+(x+1)*exp(x))/exp(x)/exp(exp(4)-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{x -{\mathrm e}^{4}} x +3 x \,{\mathrm e}^{-x +4}$&$20$\\ norman&$\left(x \,{\mathrm e}^{-{\mathrm e}^{4}} {\mathrm e}^{2 x}+3 x \,{\mathrm e}^{4}\right) {\mathrm e}^{-x}$&$23$\\ default&${\mathrm e}^{-{\mathrm e}^{4}} {\mathrm e}^{x}+{\mathrm e}^{-{\mathrm e}^{4}} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)-3 \,{\mathrm e}^{-x} {\mathrm e}^{4}-3 \,{\mathrm e}^{4} \left(-x \,{\mathrm e}^{-x}-{\mathrm e}^{-x}\right)$&$51$\\ meijerg&$-\frac{3 \,{\mathrm e}^{-x +4-x \,{\mathrm e}^{-{\mathrm e}^{4}}} {\mathrm e}^{2 x} \left(1-\frac{\left(2+2 x \left(2-{\mathrm e}^{-{\mathrm e}^{4}}\right)\right) {\mathrm e}^{-x \left(2-{\mathrm e}^{-{\mathrm e}^{4}}\right)}}{2}\right)}{\left(2-{\mathrm e}^{-{\mathrm e}^{4}}\right)^{2}}+\frac{3 \,{\mathrm e}^{-x +4-x \,{\mathrm e}^{-{\mathrm e}^{4}}} {\mathrm e}^{2 x} \left(1-{\mathrm e}^{-x \left(2-{\mathrm e}^{-{\mathrm e}^{4}}\right)}\right)}{2-{\mathrm e}^{-{\mathrm e}^{4}}}+{\mathrm e}^{-x \,{\mathrm e}^{-{\mathrm e}^{4}}-x +{\mathrm e}^{4}} {\mathrm e}^{2 x} \left(1-\frac{\left(-2 x \,{\mathrm e}^{-{\mathrm e}^{4}}+2\right) {\mathrm e}^{x \,{\mathrm e}^{-{\mathrm e}^{4}}}}{2}\right)-{\mathrm e}^{-x \,{\mathrm e}^{-{\mathrm e}^{4}}-x} {\mathrm e}^{2 x} \left(1-{\mathrm e}^{x \,{\mathrm e}^{-{\mathrm e}^{4}}}\right)$&$185$\\ \hline \end{longtable}"," ",0,"exp(x-exp(4))*x+3*x*exp(-x+4)","A"
10256,1,26,20,0.065000," ","int(((2*ln(2)*ln(3)+4*ln(3)-1)*ln(x)*ln(ln(x))^2+ln(3)*ln(x)*ln(ln(x))-ln(3))/ln(x)/ln(ln(x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x \ln \left(2\right) \ln \left(3\right)+4 x \ln \left(3\right)-x +\frac{x \ln \left(3\right)}{\ln \left(\ln \left(x \right)\right)}$&$26$\\ norman&$\frac{x \ln \left(3\right)+\left(2 \ln \left(2\right) \ln \left(3\right)+4 \ln \left(3\right)-1\right) x \ln \left(\ln \left(x \right)\right)}{\ln \left(\ln \left(x \right)\right)}$&$29$\\ default&$-x +\frac{x \ln \left(3\right)+4 x \ln \left(3\right) \ln \left(\ln \left(x \right)\right)}{\ln \left(\ln \left(x \right)\right)}+2 x \ln \left(2\right) \ln \left(3\right)$&$31$\\ \hline \end{longtable}"," ",0,"2*x*ln(2)*ln(3)+4*x*ln(3)-x+x*ln(3)/ln(ln(x))","A"
10257,1,21,22,0.042000," ","int(((x^2-7*x-96)*ln(x)+x^3-18*x^2+5*x+816)/((3*x^2-48*x)*ln(x)+3*x^3-72*x^2+384*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x}{3}+2 \ln \left(x \right)-\ln \left(\ln \left(x \right)-8+x \right)+\ln \left(x -16\right)$&$21$\\ risch&$\frac{x}{3}+2 \ln \left(x \right)-\ln \left(\ln \left(x \right)-8+x \right)+\ln \left(x -16\right)$&$21$\\ \hline \end{longtable}"," ",0,"1/3*x+2*ln(x)-ln(ln(x)-8+x)+ln(x-16)","A"
10258,1,51,25,0.418000," ","int((((x^3+4*x^2+3*x)*exp(2)-6*x^3-25*x^2-21*x-2)*exp(x)*ln((-x^2-3*x)*exp(2)+6*x^2+19*x+2)+((2*x^2+3*x)*exp(2)-12*x^2-19*x)*exp(x)+(10*x+15)*exp(2)-60*x-95)/((3*x^2+9*x)*exp(2)-18*x^2-57*x-6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{{\mathrm e}^{x} x \ln \left(\left(-x^{2}-3 x \right) {\mathrm e}^{2}+6 x^{2}+19 x +2\right)}{3}+\frac{5 \ln \left(\left({\mathrm e}^{2}-6\right) x^{2}+\left(3 \,{\mathrm e}^{2}-19\right) x -2\right)}{3}$&$51$\\ default&$\frac{{\mathrm e}^{x} x \ln \left(\left(-x^{2}-3 x \right) {\mathrm e}^{2}+6 x^{2}+19 x +2\right)}{3}+\frac{5 \ln \left(x^{2} {\mathrm e}^{2}+3 \,{\mathrm e}^{2} x -6 x^{2}-19 x -2\right)}{3}$&$54$\\ norman&$\frac{5 \ln \left(\left(-x^{2}-3 x \right) {\mathrm e}^{2}+6 x^{2}+19 x +2\right)}{3}+\frac{{\mathrm e}^{x} x \ln \left(\left(-x^{2}-3 x \right) {\mathrm e}^{2}+6 x^{2}+19 x +2\right)}{3}$&$55$\\ \hline \end{longtable}"," ",0,"1/3*exp(x)*x*ln((-x^2-3*x)*exp(2)+6*x^2+19*x+2)+5/3*ln((exp(2)-6)*x^2+(3*exp(2)-19)*x-2)","A"
10259,1,82,25,0.085000," ","int((((4*x^2+20*x)*ln(x)^3+((-12*x^2-60*x)*exp(1/4*x)-12*x^3-24*x^2+180*x)*ln(x)^2+((12*x^2+60*x)*exp(1/4*x)^2+(24*x^3+48*x^2-360*x)*exp(1/4*x)+12*x^4-12*x^3-252*x^2+538*x-10)*ln(x)+(-4*x^2-20*x)*exp(1/4*x)^3+(-12*x^3-24*x^2+180*x)*exp(1/4*x)^2+(-12*x^4+12*x^3+251*x^2-543*x+10)*exp(1/4*x)-4*x^5+16*x^4+72*x^3-434*x^2+528*x-10)*ln(5+x)+2*x^2*ln(x)^3+(-6*x^2*exp(1/4*x)-6*x^3+18*x^2)*ln(x)^2+(6*x^2*exp(1/4*x)^2+(12*x^3-36*x^2)*exp(1/4*x)+6*x^4-36*x^3+54*x^2-2*x)*ln(x)-2*x^2*exp(1/4*x)^3+(-6*x^3+18*x^2)*exp(1/4*x)^2+(-6*x^4+36*x^3-54*x^2+2*x)*exp(1/4*x)-2*x^5+18*x^4-54*x^3+56*x^2-6*x)/((2*x+10)*ln(x)^3+((-6*x-30)*exp(1/4*x)-6*x^2-12*x+90)*ln(x)^2+((6*x+30)*exp(1/4*x)^2+(12*x^2+24*x-180)*exp(1/4*x)+6*x^3-6*x^2-126*x+270)*ln(x)+(-2*x-10)*exp(1/4*x)^3+(-6*x^2-12*x+90)*exp(1/4*x)^2+(-6*x^3+6*x^2+126*x-270)*exp(1/4*x)-2*x^4+8*x^3+36*x^2-216*x+270),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(x^{3}+2 x^{2} {\mathrm e}^{\frac{x}{4}}-2 x^{2} \ln \left(x \right)+x \,{\mathrm e}^{\frac{x}{2}}-2 \ln \left(x \right) {\mathrm e}^{\frac{x}{4}} x +x \ln \left(x \right)^{2}-6 x^{2}-6 x \,{\mathrm e}^{\frac{x}{4}}+6 x \ln \left(x \right)+9 x -1\right) x \ln \left(5+x \right)}{\left(x +{\mathrm e}^{\frac{x}{4}}-\ln \left(x \right)-3\right)^{2}}$&$82$\\ \hline \end{longtable}"," ",0,"(x^3+2*x^2*exp(1/4*x)-2*x^2*ln(x)+x*exp(1/2*x)-2*ln(x)*exp(1/4*x)*x+x*ln(x)^2-6*x^2-6*x*exp(1/4*x)+6*x*ln(x)+9*x-1)*x/(x+exp(1/4*x)-ln(x)-3)^2*ln(5+x)","B"
10260,1,26,23,0.059000," ","int(((2*exp(x)^2+4*exp(x)*x^2+4*x^3-2*x^2)*exp(2*x)+(4*x^2-4*x)*exp(x)^2+(4*x^3-4*x^2)*exp(x))/(x^2*exp(2*x)^2-2*exp(2*x)*x^3+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{2}{x}+\frac{2 x +4 \,{\mathrm e}^{x}+2}{x -{\mathrm e}^{2 x}}$&$26$\\ norman&$\frac{2 x \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{x} x}{x \left(x -{\mathrm e}^{2 x}\right)}$&$34$\\ \hline \end{longtable}"," ",0,"-2/x+2*(x+2*exp(x)+1)/(x-exp(2*x))","A"
10261,1,23,20,0.086000," ","int(1/4*(((4*x+4)*ln(2)-12*x-12)*exp(x)-17*ln(2)+51)*exp(1/4*(4*x*ln(2)-12*x)*exp(x)-17/4*x*ln(2)+51/4*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2^{-\frac{17 x}{4}} 2^{{\mathrm e}^{x} x} {\mathrm e}^{-\frac{3 x \left(4 \,{\mathrm e}^{x}-17\right)}{4}}$&$23$\\ norman&${\mathrm e}^{\frac{\left(4 x \ln \left(2\right)-12 x \right) {\mathrm e}^{x}}{4}-\frac{17 x \ln \left(2\right)}{4}+\frac{51 x}{4}}$&$24$\\ \hline \end{longtable}"," ",0,"2^(-17/4*x)*2^(exp(x)*x)*exp(-3/4*x*(4*exp(x)-17))","A"
10262,1,19,21,0.101000," ","int(((1-2*x)*exp(x)*exp(x^2)+(x^2+282*x+19880)*exp(x))/(4*exp(x^2)^2+(8*x^2+2272*x+161312)*exp(x^2)+4*x^4+2272*x^3+483936*x^2+45812608*x+1626347584),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{x}}{4 x^{2}+4 \,{\mathrm e}^{x^{2}}+1136 x +80656}$&$19$\\ risch&$\frac{{\mathrm e}^{x}}{4 x^{2}+4 \,{\mathrm e}^{x^{2}}+1136 x +80656}$&$19$\\ \hline \end{longtable}"," ",0,"1/4*exp(x)/(x^2+exp(x^2)+284*x+20164)","A"
10263,1,37,22,0.247000," ","int((((-3*x+9)*ln(x^4-12*x^3+54*x^2-108*x+81)+8*x^2-49*x+39)*exp(1/(3*x*ln(x^4-12*x^3+54*x^2-108*x+81)-4*x^2+13*x))+(9*x^3-27*x^2)*ln(x^4-12*x^3+54*x^2-108*x+81)^2+(-24*x^4+150*x^3-234*x^2)*ln(x^4-12*x^3+54*x^2-108*x+81)+16*x^5-152*x^4+481*x^3-507*x^2)/((9*x^3-27*x^2)*ln(x^4-12*x^3+54*x^2-108*x+81)^2+(-24*x^4+150*x^3-234*x^2)*ln(x^4-12*x^3+54*x^2-108*x+81)+16*x^5-152*x^4+481*x^3-507*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x +{\mathrm e}^{-\frac{1}{x \left(-3 \ln \left(x^{4}-12 x^{3}+54 x^{2}-108 x +81\right)+4 x -13\right)}}$&$37$\\ \hline \end{longtable}"," ",0,"x+exp(-1/x/(-3*ln(x^4-12*x^3+54*x^2-108*x+81)+4*x-13))","A"
10264,1,21,20,0.087000," ","int(((2*x^2*ln(5)+18*x^2+90*x)*ln((-x*ln(5)-9*x-45)/ln(5))+x^2*ln(5)+9*x^2)/(x*ln(5)+9*x+45),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2} \ln \left(\frac{-x \ln \left(5\right)-9 x -45}{\ln \left(5\right)}\right)$&$21$\\ risch&$x^{2} \ln \left(\frac{-x \ln \left(5\right)-9 x -45}{\ln \left(5\right)}\right)$&$21$\\ derivativedivides&$-\frac{\ln \left(5\right) \left(-\frac{2 \ln \left(5\right) \left(\frac{\left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right)^{2} \ln \left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right)}{2}-\frac{\left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right)^{2}}{4}\right)}{\ln \left(5\right)+9}-\frac{90 \left(\left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right) \ln \left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right)+\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}+\frac{45}{\ln \left(5\right)}\right)}{\ln \left(5\right)+9}-\frac{\ln \left(5\right) \left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right)^{2}}{2 \left(\ln \left(5\right)+9\right)}-\frac{90 \left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right)}{\ln \left(5\right)+9}-\frac{2025 \ln \left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right)}{\ln \left(5\right) \left(\ln \left(5\right)+9\right)}\right)}{\ln \left(5\right)+9}$&$236$\\ default&$-\frac{\ln \left(5\right) \left(-\frac{2 \ln \left(5\right) \left(\frac{\left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right)^{2} \ln \left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right)}{2}-\frac{\left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right)^{2}}{4}\right)}{\ln \left(5\right)+9}-\frac{90 \left(\left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right) \ln \left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right)+\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}+\frac{45}{\ln \left(5\right)}\right)}{\ln \left(5\right)+9}-\frac{\ln \left(5\right) \left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right)^{2}}{2 \left(\ln \left(5\right)+9\right)}-\frac{90 \left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right)}{\ln \left(5\right)+9}-\frac{2025 \ln \left(-\frac{\left(\ln \left(5\right)+9\right) x}{\ln \left(5\right)}-\frac{45}{\ln \left(5\right)}\right)}{\ln \left(5\right) \left(\ln \left(5\right)+9\right)}\right)}{\ln \left(5\right)+9}$&$236$\\ \hline \end{longtable}"," ",0,"x^2*ln((-x*ln(5)-9*x-45)/ln(5))","A"
10265,1,31,30,0.042000," ","int(((8*x^4+x^3)*ln(x*ln(3))^2+(-16*x^3-2*x^2)*exp(25/x)*ln(x*ln(3))+(8*x^2+x)*exp(25/x)^2+(-x-25)*exp(25/x)-x^2)/(2*x^3*ln(x*ln(3))^2-4*x^2*exp(25/x)*ln(x*ln(3))+2*x*exp(25/x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x^{2}+\frac{x}{2}+\frac{x}{2 \ln \left(x \ln \left(3\right)\right) x -2 \,{\mathrm e}^{\frac{25}{x}}}$&$31$\\ \hline \end{longtable}"," ",0,"2*x^2+1/2*x+1/2*x/(ln(x*ln(3))*x-exp(25/x))","A"
10266,1,37,25,0.078000," ","int(((2*ln(2)*(x+1)-4*x-4)*exp(x)-10*ln(2)+16)/((2*x*ln(2)-4*x)*exp(x)+2*(-exp(2)-5*x-3)*ln(2)+4*exp(2)+16*x+12),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(-x \ln \left(2\right) {\mathrm e}^{x}+{\mathrm e}^{2} \ln \left(2\right)+5 x \ln \left(2\right)+2 \,{\mathrm e}^{x} x -2 \,{\mathrm e}^{2}+3 \ln \left(2\right)-8 x -6\right)$&$37$\\ risch&$\ln \left(x \right)+\ln \left({\mathrm e}^{x}-\frac{{\mathrm e}^{2} \ln \left(2\right)+5 x \ln \left(2\right)-2 \,{\mathrm e}^{2}+3 \ln \left(2\right)-8 x -6}{x \left(\ln \left(2\right)-2\right)}\right)$&$42$\\ \hline \end{longtable}"," ",0,"ln(-x*ln(2)*exp(x)+exp(2)*ln(2)+5*x*ln(2)+2*exp(x)*x-2*exp(2)+3*ln(2)-8*x-6)","A"
10267,1,34,16,0.385000," ","int((((2*x^2+4*x+8)*exp(3)+2*x+10)*ln((x^2+4)*exp(3)+4+x)+(2*x^3+4*x^2+8*x)*exp(3)+2*x^2+10*x)/((x^2+4)*exp(3)+4+x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{2}+\ln \left(\left(x^{2}+4\right) {\mathrm e}^{3}+4+x \right)^{2}+2 x \ln \left(\left(x^{2}+4\right) {\mathrm e}^{3}+4+x \right)$&$34$\\ risch&$x^{2}+\ln \left(\left(x^{2}+4\right) {\mathrm e}^{3}+4+x \right)^{2}+2 x \ln \left(\left(x^{2}+4\right) {\mathrm e}^{3}+4+x \right)$&$34$\\ default&\verb|error in gcdex: invalid arguments\|& N/A\\ \hline \end{longtable}"," ",0,"x^2+ln((x^2+4)*exp(3)+4+x)^2+2*x*ln((x^2+4)*exp(3)+4+x)","B"
10268,1,15,14,0.090000," ","int((-x^2-x+18)/(x^2+6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x +3 \ln \left(x \right)+2 \ln \left(x +6\right)$&$15$\\ norman&$-x +3 \ln \left(x \right)+2 \ln \left(x +6\right)$&$15$\\ risch&$-x +3 \ln \left(x \right)+2 \ln \left(x +6\right)$&$15$\\ meijerg&$2 \ln \left(1+\frac{x}{6}\right)+3 \ln \left(x \right)-3 \ln \left(2\right)-3 \ln \left(3\right)-x$&$25$\\ \hline \end{longtable}"," ",0,"-x+3*ln(x)+2*ln(x+6)","A"
10269,1,42,27,0.048000," ","int((2*x^2*ln(x)^2+(-6*x^2+6)*ln(x)-4*x^4-6*x^3-4*x^2-6*x-12)*exp(ln(-ln(x)^2+4*ln(x)+x^2+2*x-3)+4)/(x*ln(x)^2-4*x*ln(x)-x^3-2*x^2+3*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{4} \left(-x^{2} \ln \left(x \right)^{2}+4 x^{2} \ln \left(x \right)+x^{4}+2 x^{3}-3 \ln \left(x \right)^{2}+6 x +12 \ln \left(x \right)\right)$&$42$\\ risch&${\mathrm e}^{4} \left(-x^{2}-3\right) \ln \left(x \right)^{2}+4 x^{2} {\mathrm e}^{4} \ln \left(x \right)+x^{4} {\mathrm e}^{4}+2 x^{3} {\mathrm e}^{4}+6 x \,{\mathrm e}^{4}+12 \,{\mathrm e}^{4} \ln \left(x \right)$&$49$\\ \hline \end{longtable}"," ",0,"exp(4)*(-x^2*ln(x)^2+4*x^2*ln(x)+x^4+2*x^3-3*ln(x)^2+6*x+12*ln(x))","A"
10270,1,17,23,0.024000," ","int((15*x^6-150*x^5+375*x^4+4*x^2+10*x-25)/(x^4-10*x^3+25*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x^{3}-\frac{5}{x -5}+\frac{1}{x}$&$17$\\ risch&$5 x^{3}+\frac{-4 x -5}{\left(x -5\right) x}$&$21$\\ gosper&$\frac{5 x^{5}-25 x^{4}-4 x -5}{x \left(x -5\right)}$&$25$\\ norman&$\frac{5 x^{5}-25 x^{4}-4 x -5}{x \left(x -5\right)}$&$25$\\ \hline \end{longtable}"," ",0,"5*x^3-5/(x-5)+1/x","A"
10271,1,16,18,0.030000," ","int(((-x*exp(5)+2*x^2)*ln(x)^2+1)/x/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x \,{\mathrm e}^{5}+x^{2}-\frac{1}{\ln \left(x \right)}$&$16$\\ risch&$-x \,{\mathrm e}^{5}+x^{2}-\frac{1}{\ln \left(x \right)}$&$16$\\ norman&$\frac{-1+x^{2} \ln \left(x \right)-x \,{\mathrm e}^{5} \ln \left(x \right)}{\ln \left(x \right)}$&$21$\\ \hline \end{longtable}"," ",0,"-x*exp(5)+x^2-1/ln(x)","A"
10272,1,42,29,0.241000," ","int(((-2*x*ln(2)^4+16*x^2*ln(2)^3-48*x^3*ln(2)^2+64*x^4*ln(2)-32*x^5)*exp(x)^2+((1-x)*ln(2)^4+(8*x^2-8*x)*ln(2)^3+(-24*x^3+20*x^2)*ln(2)^2+(32*x^4-16*x^3)*ln(2)-16*x^5)*exp(x)-4*x^2*ln(2)+6*x^3)/((ln(2)^4-8*x*ln(2)^3+24*x^2*ln(2)^2-32*x^3*ln(2)+16*x^4)*exp(x)^2+(2*x*ln(2)^2-8*x^2*ln(2)+8*x^3)*exp(x)+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x^{2}+\frac{x \left(\ln \left(2\right)-2 x \right)^{2}}{\ln \left(2\right)^{2} {\mathrm e}^{x}-4 x \ln \left(2\right) {\mathrm e}^{x}+4 \,{\mathrm e}^{x} x^{2}+x}$&$42$\\ norman&$\frac{\frac{5 x \ln \left(2\right)^{2}}{4}+\frac{\ln \left(2\right)^{4} {\mathrm e}^{x}}{4}-\ln \left(2\right)^{3} {\mathrm e}^{x} x +3 x^{3}-4 x^{2} \ln \left(2\right)-4 \,{\mathrm e}^{x} x^{4}+4 x^{3} \ln \left(2\right) {\mathrm e}^{x}}{\ln \left(2\right)^{2} {\mathrm e}^{x}-4 x \ln \left(2\right) {\mathrm e}^{x}+4 \,{\mathrm e}^{x} x^{2}+x}$&$80$\\ \hline \end{longtable}"," ",0,"-x^2+x*(ln(2)-2*x)^2/(ln(2)^2*exp(x)-4*x*ln(2)*exp(x)+4*exp(x)*x^2+x)","A"
10273,1,17,16,0.141000," ","int(((-x^2+2*x)*exp(x)+2*x*exp(1))/(2*ln(5)*exp(x)^2+4*exp(1)*ln(5)*exp(x)+2*exp(1)^2*ln(5)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{x^{2}}{2 \ln \left(5\right) \left({\mathrm e}+{\mathrm e}^{x}\right)}$&$17$\\ risch&$\frac{x^{2}}{2 \ln \left(5\right) \left({\mathrm e}+{\mathrm e}^{x}\right)}$&$17$\\ \hline \end{longtable}"," ",0,"1/2*x^2/ln(5)/(exp(1)+exp(x))","A"
10274,1,11,11,0.013000," ","int(-2*exp(2*x+1)+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x -{\mathrm e}^{2 x +1}$&$11$\\ norman&$x -{\mathrm e}^{2 x +1}$&$11$\\ risch&$x -{\mathrm e}^{2 x +1}$&$11$\\ derivativedivides&$-{\mathrm e}^{2 x +1}+\frac{\ln \left({\mathrm e}^{2 x +1}\right)}{2}$&$19$\\ \hline \end{longtable}"," ",0,"x-exp(2*x+1)","A"
10275,1,19,22,0.129000," ","int(((x^3+x^2-20*x)*ln(2)*exp(x)+(x^2+20)*ln(2))/(5*x^4+10*x^3-195*x^2-200*x+2000)/exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$-\frac{x \ln \left(2\right) {\mathrm e}^{-{\mathrm e}^{x}}}{5 \left(x^{2}+x -20\right)}$&$19$\\ risch&$-\frac{x \ln \left(2\right) {\mathrm e}^{-{\mathrm e}^{x}}}{5 \left(x^{2}+x -20\right)}$&$19$\\ \hline \end{longtable}"," ",0,"-1/5*x*ln(2)/(x^2+x-20)/exp(exp(x))","A"
10276,1,23,19,0.048000," ","int(16*exp(x)*exp(exp(x))^2+(-16*ln(3)-16*exp(1)+64)*exp(x)*exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(-16 \ln \left(3\right)-16 \,{\mathrm e}+64\right) {\mathrm e}^{{\mathrm e}^{x}}+8 \,{\mathrm e}^{2 \,{\mathrm e}^{x}}$&$23$\\ derivativedivides&$-16 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{x}}-16 \,{\mathrm e}^{{\mathrm e}^{x}} \ln \left(3\right)+64 \,{\mathrm e}^{{\mathrm e}^{x}}+8 \,{\mathrm e}^{2 \,{\mathrm e}^{x}}$&$28$\\ default&$-16 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{x}}-16 \,{\mathrm e}^{{\mathrm e}^{x}} \ln \left(3\right)+64 \,{\mathrm e}^{{\mathrm e}^{x}}+8 \,{\mathrm e}^{2 \,{\mathrm e}^{x}}$&$28$\\ risch&$-16 \,{\mathrm e} \,{\mathrm e}^{{\mathrm e}^{x}}-16 \,{\mathrm e}^{{\mathrm e}^{x}} \ln \left(3\right)+64 \,{\mathrm e}^{{\mathrm e}^{x}}+8 \,{\mathrm e}^{2 \,{\mathrm e}^{x}}$&$28$\\ \hline \end{longtable}"," ",0,"(-16*ln(3)-16*exp(1)+64)*exp(exp(x))+8*exp(exp(x))^2","A"
10277,1,25,24,0.063000," ","int((2*x*exp(x)*ln(-4*exp(x)+4*exp(5)-4*exp(1)-12)+(2*x+1)*exp(x)+(-2*x-1)*exp(5)+(2*x+1)*exp(1)+6*x+3)/((exp(x)*x-x*exp(5)+x*exp(1)+3*x)*ln(-4*exp(x)+4*exp(5)-4*exp(1)-12)^2+(exp(x)*x-x*exp(5)+x*exp(1)+3*x)*ln(x)+2*exp(x)*x^2-2*x^2*exp(5)+2*x^2*exp(1)+6*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \right)+\ln \left(-4 \,{\mathrm e}^{x}+4 \,{\mathrm e}^{5}-4 \,{\mathrm e}-12\right)^{2}+2 x \right)$&$25$\\ \hline \end{longtable}"," ",0,"ln(ln(x)+ln(-4*exp(x)+4*exp(5)-4*exp(1)-12)^2+2*x)","A"
10278,1,10,18,0.098000," ","int((2*x+3)/(x^2+3*x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$\ln \left(x^{2}+3 x +1\right)$&$10$\\ default&$\ln \left(x^{2}+3 x +1\right)$&$10$\\ norman&$\ln \left(x^{2}+3 x +1\right)$&$10$\\ risch&$\ln \left(x^{2}+3 x +1\right)$&$10$\\ \hline \end{longtable}"," ",0,"ln(x^2+3*x+1)","A"
10279,1,19,19,0.039000," ","int(((168*x^5+112*x^4+14*x^2)*exp(4*x^3+4*x^2)-5)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{5}{x}+14 x \,{\mathrm e}^{4 \left(x +1\right) x^{2}}$&$19$\\ norman&$\frac{5+14 \,{\mathrm e}^{4 x^{3}+4 x^{2}} x^{2}}{x}$&$24$\\ \hline \end{longtable}"," ",0,"5/x+14*x*exp(4*(x+1)*x^2)","A"
10280,1,16,15,0.037000," ","int((-10*x*ln(x)-2*ln(105)-30*x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-10 x \ln \left(x \right)-20 x -2 \ln \left(105\right) \ln \left(x \right)$&$16$\\ norman&$-10 x \ln \left(x \right)-20 x -2 \ln \left(105\right) \ln \left(x \right)$&$16$\\ risch&$-10 x \ln \left(x \right)-2 \ln \left(5\right) \ln \left(x \right)-2 \ln \left(x \right) \ln \left(7\right)-2 \ln \left(3\right) \ln \left(x \right)-20 x$&$28$\\ \hline \end{longtable}"," ",0,"-10*x*ln(x)-20*x-2*ln(105)*ln(x)","A"
10281,1,29,22,0.030000," ","int((ln(x)^4+100*x^2*ln(x)^3+(3750*x^4-10)*ln(x)^2+(62500*x^6+100*x^3-500*x^2+2*x)*ln(x)+390625*x^8+2500*x^5-6250*x^4+50*x^3+25)/(ln(x)^4+100*x^2*ln(x)^3+(3750*x^4+2*x-10)*ln(x)^2+(62500*x^6+100*x^3-500*x^2)*ln(x)+390625*x^8+1250*x^5-6250*x^4+x^2-10*x+25),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x -\frac{x^{2}}{625 x^{4}+50 x^{2} \ln \left(x \right)+\ln \left(x \right)^{2}+x -5}$&$29$\\ \hline \end{longtable}"," ",0,"x-x^2/(625*x^4+50*x^2*ln(x)+ln(x)^2+x-5)","A"
10282,0,0,27,0.017000," ","int(((((x^2-8*x)*ln(-8+x)^2+(-15*x^2+120*x)*ln(-8+x)+15*x^2)*ln(2*x)+(-x^3+8*x^2)*ln(-8+x)^2+(15*x^3-120*x^2)*ln(-8+x)-15*x^3)*ln((x-ln(2*x))/x)^2+(4*x-32)*ln(-8+x)^2*ln(2*x)+(-4*x+32)*ln(-8+x)^2)/((x^2-8*x)*ln(-8+x)^2*ln(2*x)+(-x^3+8*x^2)*ln(-8+x)^2)/ln((x-ln(2*x))/x)^2,x)","\[\int \frac{\left(\left(\left(x^{2}-8 x \right) \ln \left(-8+x \right)^{2}+\left(-15 x^{2}+120 x \right) \ln \left(-8+x \right)+15 x^{2}\right) \ln \left(2 x \right)+\left(-x^{3}+8 x^{2}\right) \ln \left(-8+x \right)^{2}+\left(15 x^{3}-120 x^{2}\right) \ln \left(-8+x \right)-15 x^{3}\right) \ln \left(\frac{x -\ln \left(2 x \right)}{x}\right)^{2}+\left(4 x -32\right) \ln \left(-8+x \right)^{2} \ln \left(2 x \right)+\left(-4 x +32\right) \ln \left(-8+x \right)^{2}}{\left(\left(x^{2}-8 x \right) \ln \left(-8+x \right)^{2} \ln \left(2 x \right)+\left(-x^{3}+8 x^{2}\right) \ln \left(-8+x \right)^{2}\right) \ln \left(\frac{x -\ln \left(2 x \right)}{x}\right)^{2}}\, dx\]"," ",0,"int(((((x^2-8*x)*ln(-8+x)^2+(-15*x^2+120*x)*ln(-8+x)+15*x^2)*ln(2*x)+(-x^3+8*x^2)*ln(-8+x)^2+(15*x^3-120*x^2)*ln(-8+x)-15*x^3)*ln((x-ln(2*x))/x)^2+(4*x-32)*ln(-8+x)^2*ln(2*x)+(-4*x+32)*ln(-8+x)^2)/((x^2-8*x)*ln(-8+x)^2*ln(2*x)+(-x^3+8*x^2)*ln(-8+x)^2)/ln((x-ln(2*x))/x)^2,x)","F"
10283,1,42,23,0.070000," ","int(((2*exp(x)*x+4*x-1)*exp(exp(x)+2*x)^2+((2*exp(x)*x+4*x-2)*ln(x)^4+8*ln(x)^3)*exp(exp(x)+2*x)-ln(x)^8+8*ln(x)^7+5*x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(x \right)^{8}}{x}+5 x +\frac{{\mathrm e}^{2 \,{\mathrm e}^{x}+4 x}}{x}+\frac{2 \ln \left(x \right)^{4} {\mathrm e}^{{\mathrm e}^{x}+2 x}}{x}$&$42$\\ \hline \end{longtable}"," ",0,"1/x*ln(x)^8+5*x+exp(2*exp(x)+4*x)/x+2/x*ln(x)^4*exp(exp(x)+2*x)","A"
10284,1,22,17,0.085000," ","int(((-x^2*ln(2)+3*x^2+x-1)*exp(x)+x^2*ln(2)-3*x^2)*exp(((-x*ln(2)+3*x+1)*exp(x)+x^2*ln(2)-3*x^2-x)/x)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{-\frac{\left(x \ln \left(2\right)-3 x -1\right) \left({\mathrm e}^{x}-x \right)}{x}}$&$22$\\ norman&${\mathrm e}^{\frac{\left(-x \ln \left(2\right)+3 x +1\right) {\mathrm e}^{x}+x^{2} \ln \left(2\right)-3 x^{2}-x}{x}}$&$34$\\ \hline \end{longtable}"," ",0,"exp(-(x*ln(2)-3*x-1)*(exp(x)-x)/x)","A"
10285,1,17,16,0.147000," ","int(1/5*((x-1)*exp(4)+20*x^2-x+1)*exp(x)*exp(1/5*(exp(4)+20*x-1)*exp(x)/x)*exp(exp(1/5*(exp(4)+20*x-1)*exp(x)/x))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&${\mathrm e}^{{\mathrm e}^{\frac{\left({\mathrm e}^{4}+20 x -1\right) {\mathrm e}^{x}}{5 x}}}$&$17$\\ risch&${\mathrm e}^{{\mathrm e}^{\frac{\left({\mathrm e}^{4}+20 x -1\right) {\mathrm e}^{x}}{5 x}}}$&$17$\\ \hline \end{longtable}"," ",0,"exp(exp(1/5*(exp(4)+20*x-1)*exp(x)/x))","A"
10286,1,34,25,0.095000," ","int(((540*ln(2)+810*x+405)*ln(5)+540*ln(2)+810*x+405)/(2916*ln(5)^2+(432*ln(2)^2+1296*x*ln(2)+972*x^2+972*x+5832)*ln(5)+16*ln(2)^4+96*x*ln(2)^3+4*(54*x^2+18*x+108)*ln(2)^2+2*(108*x^3+108*x^2+648*x)*ln(2)+81*x^4+162*x^3+1053*x^2+972*x+2916),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{45 \left(\ln \left(5\right)+1\right)}{4 \ln \left(2\right)^{2}+12 x \ln \left(2\right)+9 x^{2}+54 \ln \left(5\right)+9 x +54}$&$34$\\ norman&$\frac{-45-45 \ln \left(5\right)}{4 \ln \left(2\right)^{2}+12 x \ln \left(2\right)+9 x^{2}+54 \ln \left(5\right)+9 x +54}$&$35$\\ risch&$-\frac{5 \ln \left(5\right)}{6 \left(\frac{2 \ln \left(2\right)^{2}}{27}+\frac{2 x \ln \left(2\right)}{9}+\frac{x^{2}}{6}+\ln \left(5\right)+\frac{x}{6}+1\right)}-\frac{5}{6 \left(\frac{2 \ln \left(2\right)^{2}}{27}+\frac{2 x \ln \left(2\right)}{9}+\frac{x^{2}}{6}+\ln \left(5\right)+\frac{x}{6}+1\right)}$&$58$\\ default&$\frac{\left(135 \ln \left(5\right)+135\right) \left(-648+\left(4 \ln \left(2\right)+3\right) \left(12 \ln \left(2\right)+9\right)-48 \ln \left(2\right)^{2}-648 \ln \left(5\right)\right)}{\left(1944 \ln \left(5\right)-216 \ln \left(2\right)+1863\right) \left(4 \ln \left(2\right)^{2}+12 x \ln \left(2\right)+9 x^{2}+54 \ln \left(5\right)+9 x +54\right)}$&$72$\\ \hline \end{longtable}"," ",0,"-45*(ln(5)+1)/(4*ln(2)^2+12*x*ln(2)+9*x^2+54*ln(5)+9*x+54)","A"
10287,1,25,17,0.023000," ","int((50*exp(2)+50*x)*ln(2)^4+10*ln(2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$5 \ln \left(2\right)^{2} x \left(10 \,{\mathrm e}^{2} \ln \left(2\right)^{2}+5 x \ln \left(2\right)^{2}+2\right)$&$25$\\ default&$\ln \left(2\right)^{4} \left(50 \,{\mathrm e}^{2} x +25 x^{2}\right)+10 x \ln \left(2\right)^{2}$&$25$\\ risch&$50 \ln \left(2\right)^{4} {\mathrm e}^{2} x +25 x^{2} \ln \left(2\right)^{4}+10 x \ln \left(2\right)^{2}$&$27$\\ norman&$\left(50 \ln \left(2\right)^{4} {\mathrm e}^{2}+10 \ln \left(2\right)^{2}\right) x +25 x^{2} \ln \left(2\right)^{4}$&$28$\\ \hline \end{longtable}"," ",0,"5*ln(2)^2*x*(10*exp(2)*ln(2)^2+5*x*ln(2)^2+2)","A"
10288,1,24,19,0.142000," ","int(((8*x^3*ln(3)-4*x^5*exp(1)+4*x^3)*ln(-2*ln(3)+x^2*exp(1)-1)+16*x^3*ln(3)-10*x^5*exp(1)+8*x^3)/(2*ln(3)-x^2*exp(1)+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x^{4} \ln \left(-2 \ln \left(3\right)+x^{2} {\mathrm e}-1\right)+2 x^{4}$&$24$\\ risch&$x^{4} \ln \left(-2 \ln \left(3\right)+x^{2} {\mathrm e}-1\right)+2 x^{4}$&$24$\\ default&$x^{4} \ln \left(-2 \ln \left(3\right)+x^{2} {\mathrm e}-1\right)+2 x^{4}-4 \,{\mathrm e}^{-2} \ln \left(-2 \ln \left(3\right)+x^{2} {\mathrm e}-1\right) \ln \left(3\right)^{2}-4 \,{\mathrm e}^{-2} \ln \left(-2 \ln \left(3\right)+x^{2} {\mathrm e}-1\right) \ln \left(3\right)-{\mathrm e}^{-2} \ln \left(-2 \ln \left(3\right)+x^{2} {\mathrm e}-1\right)+4 \left({\mathrm e}^{-1}\right)^{2} \ln \left(-2 \ln \left(3\right)+x^{2} {\mathrm e}-1\right) \ln \left(3\right)^{2}+4 \left({\mathrm e}^{-1}\right)^{2} \ln \left(-2 \ln \left(3\right)+x^{2} {\mathrm e}-1\right) \ln \left(3\right)+\left({\mathrm e}^{-1}\right)^{2} \ln \left(-2 \ln \left(3\right)+x^{2} {\mathrm e}-1\right)$&$149$\\ \hline \end{longtable}"," ",0,"x^4*ln(-2*ln(3)+x^2*exp(1)-1)+2*x^4","A"
10289,1,216,19,0.133000," ","int((ln(x)-8*x^2-1)/(4*ln(ln(5))*x^2-x*ln(x)-8*x^3-16*x^2)/ln(1/2*(4*x*ln(ln(5))-ln(x)-8*x^2-16*x)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\ln \left(\ln \left(x \ln \left(\ln \left(5\right)\right)-2 x^{2}-4 x -\frac{\ln \left(x \right)}{4}\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(-x \ln \left(\ln \left(5\right)\right)+2 x^{2}+4 x +\frac{\ln \left(x \right)}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(-x \ln \left(\ln \left(5\right)\right)+2 x^{2}+4 x +\frac{\ln \left(x \right)}{4}\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(-x \ln \left(\ln \left(5\right)\right)+2 x^{2}+4 x +\frac{\ln \left(x \right)}{4}\right)}{x}\right)^{2}+\pi  \,\mathrm{csgn}\left(i \left(-x \ln \left(\ln \left(5\right)\right)+2 x^{2}+4 x +\frac{\ln \left(x \right)}{4}\right)\right) \mathrm{csgn}\left(\frac{i \left(-x \ln \left(\ln \left(5\right)\right)+2 x^{2}+4 x +\frac{\ln \left(x \right)}{4}\right)}{x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(-x \ln \left(\ln \left(5\right)\right)+2 x^{2}+4 x +\frac{\ln \left(x \right)}{4}\right)}{x}\right)^{3}+2 i \ln \left(2\right)-2 i \ln \left(x \right)\right)}{2}\right)$&$216$\\ \hline \end{longtable}"," ",0,"ln(ln(x*ln(ln(5))-2*x^2-4*x-1/4*ln(x))-1/2*I*(Pi*csgn(I/x)*csgn(I*(-x*ln(ln(5))+2*x^2+4*x+1/4*ln(x)))*csgn(I/x*(-x*ln(ln(5))+2*x^2+4*x+1/4*ln(x)))-Pi*csgn(I/x)*csgn(I/x*(-x*ln(ln(5))+2*x^2+4*x+1/4*ln(x)))^2+Pi*csgn(I*(-x*ln(ln(5))+2*x^2+4*x+1/4*ln(x)))*csgn(I/x*(-x*ln(ln(5))+2*x^2+4*x+1/4*ln(x)))^2-Pi*csgn(I/x*(-x*ln(ln(5))+2*x^2+4*x+1/4*ln(x)))^3+2*I*ln(2)-2*I*ln(x)))","C"
10290,1,129,19,0.134000," ","int(((-3*x^2+6*x-3)*exp(x)*ln((1-x)/x)+3*exp(x))/(x^3-x^2)/exp(1)/ln((1-x)/x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{6 i {\mathrm e}^{x -1}}{\left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{2}+2 \pi  \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(x -1\right)\right) \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i \left(x -1\right)}{x}\right)^{3}-2 \pi -2 i \ln \left(x \right)+2 i \ln \left(x -1\right)\right) x}$&$129$\\ \hline \end{longtable}"," ",0,"-6*I/(Pi*csgn(I/x)*csgn(I*(x-1))*csgn(I/x*(x-1))-Pi*csgn(I/x)*csgn(I/x*(x-1))^2+2*Pi*csgn(I/x*(x-1))^2-Pi*csgn(I*(x-1))*csgn(I/x*(x-1))^2-Pi*csgn(I/x*(x-1))^3-2*Pi-2*I*ln(x)+2*I*ln(x-1))/x*exp(x-1)","C"
10291,1,21,19,0.076000," ","int((((2*x^2+x)*exp(x^2+x)+2*x^2-6*x)*ln(x)+(2*x^2+x)*exp(x^2+x)+2*x^2-6*x+1)*exp(exp(x^2+x)+x^2-6*x-2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\ln \left(x \right)+1\right) {\mathrm e}^{{\mathrm e}^{\left(x +1\right) x}+x^{2}-6 x -2}$&$21$\\ \hline \end{longtable}"," ",0,"(ln(x)+1)*exp(exp((x+1)*x)+x^2-6*x-2)","A"
10292,1,19,20,0.118000," ","int((((2*ln(3)-3*x-3)*exp(x)*ln(2*ln(3)-3*x-3)+(4*x*ln(3)-6*x^2-6*x)*exp(x))*exp(exp(x))*ln(1/2*ln(2*ln(3)-3*x-3)+x)+(4*ln(3)-6*x-9)*exp(exp(x)))*exp(exp(exp(x))*ln(1/2*ln(2*ln(3)-3*x-3)+x))/((2*ln(3)-3*x-3)*ln(2*ln(3)-3*x-3)+4*x*ln(3)-6*x^2-6*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(\frac{\ln \left(2 \ln \left(3\right)-3 x -3\right)}{2}+x \right)^{{\mathrm e}^{{\mathrm e}^{x}}}$&$19$\\ \hline \end{longtable}"," ",0,"(1/2*ln(2*ln(3)-3*x-3)+x)^exp(exp(x))","A"
10293,1,15,16,0.032000," ","int(((-27*x^2+1)*exp(4)^8+2048*x^7)/exp(4)^8,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$256 x^{8} {\mathrm e}^{-32}+x -9 x^{3}$&$15$\\ default&${\mathrm e}^{-32} \left({\mathrm e}^{32} \left(-9 x^{3}+x \right)+256 x^{8}\right)$&$24$\\ gosper&$-x \left(9 \,{\mathrm e}^{32} x^{2}-{\mathrm e}^{32}-256 x^{7}\right) {\mathrm e}^{-32}$&$29$\\ norman&$\left({\mathrm e}^{28} x +256 \,{\mathrm e}^{-4} x^{8}-9 \,{\mathrm e}^{28} x^{3}\right) {\mathrm e}^{-28}$&$31$\\ \hline \end{longtable}"," ",0,"256*x^8*exp(-32)+x-9*x^3","A"
10294,1,19,20,0.067000," ","int(((-84*x^2-56*x+112)*exp(x)+840*x-560)/((9*x^4-24*x^3+16*x^2)*exp(x)^2+(-90*x^4+240*x^3-160*x^2)*exp(x)+225*x^4-600*x^3+400*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{28}{x \left({\mathrm e}^{x}-5\right) \left(3 x -4\right)}$&$19$\\ risch&$\frac{28}{x \left({\mathrm e}^{x}-5\right) \left(3 x -4\right)}$&$19$\\ \hline \end{longtable}"," ",0,"28/x/(exp(x)-5)/(3*x-4)","A"
10295,1,14,16,0.102000," ","int(((4*x^2+2)*exp(4)^2+2*x^2+2*x+1)*exp(ln(2*x*exp(4)^2+x+1)+x^2)/(2*x*exp(4)^2+x+1),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\left(2 x \,{\mathrm e}^{8}+x +1\right) {\mathrm e}^{x^{2}}$&$14$\\ gosper&${\mathrm e}^{\ln \left(2 x \,{\mathrm e}^{8}+x +1\right)+x^{2}}$&$17$\\ norman&${\mathrm e}^{\ln \left(2 x \,{\mathrm e}^{8}+x +1\right)+x^{2}}$&$17$\\ default&${\mathrm e}^{x^{2}} x +{\mathrm e}^{x^{2}}+{\mathrm e}^{8} \sqrt{\pi}\, \erfi \left(x \right)+4 \,{\mathrm e}^{8} \left(\frac{{\mathrm e}^{x^{2}} x}{2}-\frac{\sqrt{\pi}\, \erfi \left(x \right)}{4}\right)$&$39$\\ \hline \end{longtable}"," ",0,"(2*x*exp(8)+x+1)*exp(x^2)","A"
10296,0,0,36,0.348000," ","int((((x^3+2*x^2)*exp(10-x)^2*exp(x)+(-x^4-8*x^3-7*x^2+5*x-10)*exp(10-x))*ln(2+x)+(x^3+2*x^2)*exp(10-x)^2*exp(x)^2+((2*x^4+2*x^3-5*x^2)*exp(10-x)^2+(-2*x^4-14*x^3-10*x^2+20*x)*exp(10-x))*exp(x)+(-2*x^5-14*x^4+x^3+25*x^2-45*x)*exp(10-x)+x^5+12*x^4+35*x^3-20*x^2-75*x+50)/((x^3+2*x^2)*exp(10-x)^2*exp(x)^2+(-2*x^4-14*x^3-10*x^2+20*x)*exp(10-x)*exp(x)+x^5+12*x^4+35*x^3-20*x^2-75*x+50),x)","\[\int \frac{\left(\left(x^{3}+2 x^{2}\right) {\mathrm e}^{-2 x +20} {\mathrm e}^{x}+\left(-x^{4}-8 x^{3}-7 x^{2}+5 x -10\right) {\mathrm e}^{10-x}\right) \ln \left(2+x \right)+\left(x^{3}+2 x^{2}\right) {\mathrm e}^{-2 x +20} {\mathrm e}^{2 x}+\left(\left(2 x^{4}+2 x^{3}-5 x^{2}\right) {\mathrm e}^{-2 x +20}+\left(-2 x^{4}-14 x^{3}-10 x^{2}+20 x \right) {\mathrm e}^{10-x}\right) {\mathrm e}^{x}+\left(-2 x^{5}-14 x^{4}+x^{3}+25 x^{2}-45 x \right) {\mathrm e}^{10-x}+x^{5}+12 x^{4}+35 x^{3}-20 x^{2}-75 x +50}{\left(x^{3}+2 x^{2}\right) {\mathrm e}^{-2 x +20} {\mathrm e}^{2 x}+\left(-2 x^{4}-14 x^{3}-10 x^{2}+20 x \right) {\mathrm e}^{10-x} {\mathrm e}^{x}+x^{5}+12 x^{4}+35 x^{3}-20 x^{2}-75 x +50}\, dx\]"," ",0,"int((((x^3+2*x^2)*exp(10-x)^2*exp(x)+(-x^4-8*x^3-7*x^2+5*x-10)*exp(10-x))*ln(2+x)+(x^3+2*x^2)*exp(10-x)^2*exp(x)^2+((2*x^4+2*x^3-5*x^2)*exp(10-x)^2+(-2*x^4-14*x^3-10*x^2+20*x)*exp(10-x))*exp(x)+(-2*x^5-14*x^4+x^3+25*x^2-45*x)*exp(10-x)+x^5+12*x^4+35*x^3-20*x^2-75*x+50)/((x^3+2*x^2)*exp(10-x)^2*exp(x)^2+(-2*x^4-14*x^3-10*x^2+20*x)*exp(10-x)*exp(x)+x^5+12*x^4+35*x^3-20*x^2-75*x+50),x)","F"
10297,1,16,14,0.027000," ","int((-2*ln(2)*ln(x)+4*ln(2))/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{2 \ln \left(2\right) \ln \left(x \right)-2 \ln \left(2\right)}{x}$&$16$\\ risch&$\frac{2 \ln \left(2\right) \ln \left(x \right)}{x}-\frac{2 \ln \left(2\right)}{x}$&$18$\\ default&$-2 \ln \left(2\right) \left(-\frac{\ln \left(x \right)}{x}-\frac{1}{x}\right)-\frac{4 \ln \left(2\right)}{x}$&$26$\\ \hline \end{longtable}"," ",0,"(2*ln(2)*ln(x)-2*ln(2))/x","A"
10298,1,28,22,0.240000," ","int((2*ln(5)+(3-2*x)*ln(3)-4*x^2+4*x+18)*exp(x)^2/(ln(5)^2+((-2*x+2)*ln(3)-4*x^2+18)*ln(5)+(x^2-2*x+1)*ln(3)^2+(4*x^3-4*x^2-18*x+18)*ln(3)+4*x^4-36*x^2+81),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$-\frac{{\mathrm e}^{2 x}}{x \ln \left(3\right)+2 x^{2}-\ln \left(3\right)-\ln \left(5\right)-9}$&$28$\\ norman&$-\frac{{\mathrm e}^{2 x}}{x \ln \left(3\right)+2 x^{2}-\ln \left(3\right)-\ln \left(5\right)-9}$&$28$\\ risch&$-\frac{{\mathrm e}^{2 x}}{x \ln \left(3\right)+2 x^{2}-\ln \left(3\right)-\ln \left(5\right)-9}$&$28$\\ default&$\frac{36 \,{\mathrm e}^{2 x} \ln \left(3\right)}{\left(\ln \left(3\right)^{2}+8 \ln \left(3\right)+8 \ln \left(5\right)+72\right) \left(x \ln \left(3\right)+2 x^{2}-\ln \left(3\right)-\ln \left(5\right)-9\right)}+\frac{{\mathrm e}^{2 x} \ln \left(3\right)^{2}}{\left(\ln \left(3\right)^{2}+8 \ln \left(3\right)+8 \ln \left(5\right)+72\right) \left(x \ln \left(3\right)+2 x^{2}-\ln \left(3\right)-\ln \left(5\right)-9\right)}+\frac{2 \,{\mathrm e}^{2 x} \left(x \ln \left(3\right)^{2}-\ln \left(3\right)^{2}-\ln \left(3\right) \ln \left(5\right)+4 x \ln \left(3\right)+4 x \ln \left(5\right)-9 \ln \left(3\right)+36 x \right)}{\left(\ln \left(3\right)^{2}+8 \ln \left(3\right)+8 \ln \left(5\right)+72\right) \left(x \ln \left(3\right)+2 x^{2}-\ln \left(3\right)-\ln \left(5\right)-9\right)}+\frac{4 \,{\mathrm e}^{2 x} \left(x \ln \left(3\right)-2 \ln \left(3\right)-2 \ln \left(5\right)-18\right)}{\left(\ln \left(3\right)^{2}+8 \ln \left(3\right)+8 \ln \left(5\right)+72\right) \left(x \ln \left(3\right)+2 x^{2}-\ln \left(3\right)-\ln \left(5\right)-9\right)}-\frac{18 \,{\mathrm e}^{2 x} \left(\ln \left(3\right)+4 x \right)}{\left(\ln \left(3\right)^{2}+8 \ln \left(3\right)+8 \ln \left(5\right)+72\right) \left(x \ln \left(3\right)+2 x^{2}-\ln \left(3\right)-\ln \left(5\right)-9\right)}-\frac{12 \ln \left(3\right) {\mathrm e}^{2 x} x}{\left(\ln \left(3\right)^{2}+8 \ln \left(3\right)+8 \ln \left(5\right)+72\right) \left(x \ln \left(3\right)+2 x^{2}-\ln \left(3\right)-\ln \left(5\right)-9\right)}+\frac{2 \ln \left(5\right) {\mathrm e}^{2 x} \ln \left(3\right)}{\left(\ln \left(3\right)^{2}+8 \ln \left(3\right)+8 \ln \left(5\right)+72\right) \left(x \ln \left(3\right)+2 x^{2}-\ln \left(3\right)-\ln \left(5\right)-9\right)}-\frac{8 \ln \left(5\right) {\mathrm e}^{2 x} x}{\left(\ln \left(3\right)^{2}+8 \ln \left(3\right)+8 \ln \left(5\right)+72\right) \left(x \ln \left(3\right)+2 x^{2}-\ln \left(3\right)-\ln \left(5\right)-9\right)}-\frac{2 \ln \left(3\right)^{2} {\mathrm e}^{2 x} x}{\left(\ln \left(3\right)^{2}+8 \ln \left(3\right)+8 \ln \left(5\right)+72\right) \left(x \ln \left(3\right)+2 x^{2}-\ln \left(3\right)-\ln \left(5\right)-9\right)}$&$465$\\ \hline \end{longtable}"," ",0,"-exp(x)^2/(x*ln(3)+2*x^2-ln(3)-ln(5)-9)","A"
10299,1,27,29,0.030000," ","int((2*x^3*exp(x^2)*exp(exp(x^2))+(1-x)*exp(x)+12*x^4+20*x^3-x^2)/x^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$-x -\frac{{\mathrm e}^{x}}{x}+10 x^{2}+4 x^{3}+{\mathrm e}^{{\mathrm e}^{x^{2}}}$&$27$\\ risch&$-x -\frac{{\mathrm e}^{x}}{x}+10 x^{2}+4 x^{3}+{\mathrm e}^{{\mathrm e}^{x^{2}}}$&$27$\\ \hline \end{longtable}"," ",0,"-x-exp(x)/x+10*x^2+4*x^3+exp(exp(x^2))","A"
10300,1,31,24,0.142000," ","int(((-16*x^2-16*x-4)*ln(5)+32*x^2-320*x-80)*exp(((8*x+4)*ln(5)+16*x^2-8*x+80)/(2*x^2+x))/(4*x^4+4*x^3+x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&${\mathrm e}^{\frac{8 x \ln \left(5\right)+16 x^{2}+4 \ln \left(5\right)-8 x +80}{\left(2 x +1\right) x}}$&$31$\\ risch&${\mathrm e}^{\frac{8 x \ln \left(5\right)+16 x^{2}+4 \ln \left(5\right)-8 x +80}{\left(2 x +1\right) x}}$&$31$\\ norman&$\frac{x \,{\mathrm e}^{\frac{\left(8 x +4\right) \ln \left(5\right)+16 x^{2}-8 x +80}{2 x^{2}+x}}+2 x^{2} {\mathrm e}^{\frac{\left(8 x +4\right) \ln \left(5\right)+16 x^{2}-8 x +80}{2 x^{2}+x}}}{\left(2 x +1\right) x}$&$78$\\ \hline \end{longtable}"," ",0,"exp(4*(2*x*ln(5)+4*x^2+ln(5)-2*x+20)/(2*x+1)/x)","A"
10301,1,52,26,0.123000," ","int(((24*x^2+18*x-9)*exp(4*x)^2+(-24*x^2-12*x+18)*exp(4*x)-3*x^4*ln(5)^2-6*x-9)*exp(((x+1)*exp(4*x)^2+(-2*x-2)*exp(4*x)+x+1)/x^3/ln(5)^2)/x^4/ln(5)^2/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$3 \,{\mathrm e}^{-\frac{x^{4} \ln \left(5\right)^{2}-x \,{\mathrm e}^{8 x}+2 x \,{\mathrm e}^{4 x}-{\mathrm e}^{8 x}+2 \,{\mathrm e}^{4 x}-x -1}{x^{3} \ln \left(5\right)^{2}}}$&$52$\\ \hline \end{longtable}"," ",0,"3*exp(-(x^4*ln(5)^2-x*exp(8*x)+2*x*exp(4*x)-exp(8*x)+2*exp(4*x)-x-1)/x^3/ln(5)^2)","A"
10302,1,26,27,0.044000," ","int(((-4*exp(1-x)+4*ln(2)-4*x-12)*ln(exp(1-x)-ln(2)+3+x)+(-4*x-12)*exp(1-x)+4*x+12)/((16*exp(1-x)-16*ln(2)+16*x+48)*ln(exp(1-x)-ln(2)+3+x)^2+((-8*x-24)*exp(1-x)+(8*x+24)*ln(2)-8*x^2-48*x-72)*ln(exp(1-x)-ln(2)+3+x)+(x^2+6*x+9)*exp(1-x)+(-x^2-6*x-9)*ln(2)+x^3+9*x^2+27*x+27),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3+x}{x -4 \ln \left({\mathrm e}^{1-x}-\ln \left(2\right)+3+x \right)+3}$&$26$\\ \hline \end{longtable}"," ",0,"(3+x)/(x-4*ln(exp(1-x)-ln(2)+3+x)+3)","A"
10303,1,25,20,0.092000," ","int(((2*x^2-10)*exp(5/x^2)-6*x^6-3*x^3+2*x^2)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline derivativedivides&$x^{2}+{\mathrm e}^{\frac{5}{x^{2}}} x^{2}-x^{3}-x^{6}$&$25$\\ default&$x^{2}+{\mathrm e}^{\frac{5}{x^{2}}} x^{2}-x^{3}-x^{6}$&$25$\\ norman&$x^{2}+{\mathrm e}^{\frac{5}{x^{2}}} x^{2}-x^{3}-x^{6}$&$25$\\ risch&$x^{2}+{\mathrm e}^{\frac{5}{x^{2}}} x^{2}-x^{3}-x^{6}$&$25$\\ \hline \end{longtable}"," ",0,"-x^6-x^3+x^2+exp(1/x^2)^5*x^2","A"
10304,1,19,18,0.026000," ","int(((-2*x*exp(x^2-7)+1)*ln(x)^3+8*x^7*ln(x)-2*x^7)/ln(x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$x +\frac{x^{8}}{\ln \left(x \right)^{2}}-{\mathrm e}^{x^{2}-7}$&$19$\\ risch&$x +\frac{x^{8}}{\ln \left(x \right)^{2}}-{\mathrm e}^{x^{2}-7}$&$19$\\ \hline \end{longtable}"," ",0,"x+x^8/ln(x)^2-exp(x^2-7)","A"
10305,1,33,29,0.092000," ","int(((-16*x^2+160*x-400)*exp(x)+48*x^4-432*x^3+800*x^2+400*x)/((4*x^2-40*x+100)*exp(x)^2+(-8*x^5+68*x^4-120*x^3-100*x^2)*exp(x)+4*x^8-28*x^7+29*x^6+70*x^5+25*x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{8 \left(x -5\right)}{2 x^{4}-7 x^{3}-5 x^{2}-2 \,{\mathrm e}^{x} x +10 \,{\mathrm e}^{x}}$&$33$\\ norman&$\frac{40-8 x}{2 x^{4}-7 x^{3}-5 x^{2}-2 \,{\mathrm e}^{x} x +10 \,{\mathrm e}^{x}}$&$34$\\ \hline \end{longtable}"," ",0,"-8*(x-5)/(2*x^4-7*x^3-5*x^2-2*exp(x)*x+10*exp(x))","A"
10306,1,28,22,0.062000," ","int(1/4*((5*exp(x)*x+5)*exp(ln(5)^2)-20*x*exp(x)^2+(20*x^2-30*x-20)*exp(x)+40*x-10)*exp(exp(x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\left(5 \,{\mathrm e}^{\ln \left(5\right)^{2}} x +20 x^{2}-20 \,{\mathrm e}^{x} x -10 x \right) {\mathrm e}^{{\mathrm e}^{x}}}{4}$&$28$\\ norman&$\left(\frac{5 \,{\mathrm e}^{\ln \left(5\right)^{2}}}{4}-\frac{5}{2}\right) x \,{\mathrm e}^{{\mathrm e}^{x}}+5 \,{\mathrm e}^{{\mathrm e}^{x}} x^{2}-5 x \,{\mathrm e}^{x} {\mathrm e}^{{\mathrm e}^{x}}$&$32$\\ \hline \end{longtable}"," ",0,"1/4*(5*exp(ln(5)^2)*x+20*x^2-20*exp(x)*x-10*x)*exp(exp(x))","A"
10307,1,62,28,0.147000," ","int(((50*x^5+180*x^4+162*x^3)*exp((-5*x^3-9*x^2+20)/(5*x^2+9*x))+25*x^4+65*x^3-9*x^2+119*x+180)*exp((2*x^2*exp((-5*x^3-9*x^2+20)/(5*x^2+9*x))+1)/x/exp((-5*x^3-9*x^2+20)/(5*x^2+9*x)))/(25*x^5+90*x^4+81*x^3)/exp((-5*x^3-9*x^2+20)/(5*x^2+9*x)),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{\left(2 x^{2} {\mathrm e}^{-\frac{5 x^{3}+9 x^{2}-20}{x \left(5 x +9\right)}}+1\right) {\mathrm e}^{\frac{5 x^{3}+9 x^{2}-20}{x \left(5 x +9\right)}}}{x}}$&$62$\\ norman&$\frac{\left(9 x^{2} {\mathrm e}^{\frac{-5 x^{3}-9 x^{2}+20}{5 x^{2}+9 x}} {\mathrm e}^{\frac{\left(2 x^{2} {\mathrm e}^{\frac{-5 x^{3}-9 x^{2}+20}{5 x^{2}+9 x}}+1\right) {\mathrm e}^{-\frac{-5 x^{3}-9 x^{2}+20}{5 x^{2}+9 x}}}{x}}+5 x^{3} {\mathrm e}^{\frac{-5 x^{3}-9 x^{2}+20}{5 x^{2}+9 x}} {\mathrm e}^{\frac{\left(2 x^{2} {\mathrm e}^{\frac{-5 x^{3}-9 x^{2}+20}{5 x^{2}+9 x}}+1\right) {\mathrm e}^{-\frac{-5 x^{3}-9 x^{2}+20}{5 x^{2}+9 x}}}{x}}\right) {\mathrm e}^{-\frac{-5 x^{3}-9 x^{2}+20}{5 x^{2}+9 x}}}{x^{2} \left(5 x +9\right)}$&$228$\\ \hline \end{longtable}"," ",0,"exp((2*x^2*exp(-(5*x^3+9*x^2-20)/x/(5*x+9))+1)/x*exp((5*x^3+9*x^2-20)/x/(5*x+9)))","B"
10308,1,67,32,0.432000," ","int((((-16*exp(1)^2+(32*x+96)*exp(1)-16*x^2-96*x-144)*exp(x)+(4*x-4)*exp(1)-4*x^2-12*x+12)*ln(x^2)+((8*x-32)*exp(1)^2+(-16*x^2+16*x+192)*exp(1)+8*x^3+16*x^2-120*x-288)*exp(x)-8*exp(1)+8*x+24)/(exp(1)^2+(-2*x-6)*exp(1)+x^2+6*x+9)/exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{\left(\left(4 \,{\mathrm e}-12\right) x^{2} {\mathrm e}^{x}+\left(-16 \,{\mathrm e}+48\right) x \,{\mathrm e}^{x} \ln \left(x^{2}\right)-4 x \ln \left(x^{2}\right)-4 \,{\mathrm e}^{x} x^{3}+16 x^{2} {\mathrm e}^{x} \ln \left(x^{2}\right)\right) {\mathrm e}^{-x}}{{\mathrm e}-3-x}$&$67$\\ default&$\frac{4 \left(x^{2} \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right)+\left(-{\mathrm e} \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right)+3 \ln \left(x^{2}\right)-6 \ln \left(x \right)\right) x +\left(-2 \,{\mathrm e}+6\right) x \ln \left(x \right)+2 x^{2} \ln \left(x \right)\right) {\mathrm e}^{-x}}{\left({\mathrm e}-3-x \right)^{2}}+4 x^{2}-16 x \ln \left(x^{2}\right)$&$86$\\ \hline \end{longtable}"," ",0,"((4*exp(1)-12)*x^2*exp(x)+(-16*exp(1)+48)*x*exp(x)*ln(x^2)-4*x*ln(x^2)-4*exp(x)*x^3+16*x^2*exp(x)*ln(x^2))/(exp(1)-3-x)/exp(x)","B"
10309,1,28,29,0.316000," ","int(((3*x^2-x)*exp(3)*exp(3*x)+6*exp(3)+10)*exp(ln((-x*exp(3)*exp(3*x)+3*exp(3)+5)/x^2/exp(3))+16)/(x^2*exp(3)*exp(3*x)-3*x*exp(3)-5*x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\frac{{\mathrm e}^{-3} {\mathrm e}^{16} \left(3 \,{\mathrm e}^{3}+5\right)-x \,{\mathrm e}^{16} {\mathrm e}^{3 x}}{x^{2}}$&$28$\\ risch&$-\frac{\left(-5+\left(x \,{\mathrm e}^{3 x}-3\right) {\mathrm e}^{3}\right) {\mathrm e}^{13+\frac{i \pi  \mathrm{csgn}\left(i x^{2}\right)^{3}}{2}-i \pi  \mathrm{csgn}\left(i x^{2}\right)^{2} \mathrm{csgn}\left(i x \right)+\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)^{2}}{2}+\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(-5+\left(x \,{\mathrm e}^{3 x}-3\right) {\mathrm e}^{3}\right)}{x^{2}}\right)^{3}}{2}+\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(-5+\left(x \,{\mathrm e}^{3 x}-3\right) {\mathrm e}^{3}\right)}{x^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{x^{2}}\right)}{2}+\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(-5+\left(x \,{\mathrm e}^{3 x}-3\right) {\mathrm e}^{3}\right)}{x^{2}}\right)^{2} \mathrm{csgn}\left(i \left(-5+\left(x \,{\mathrm e}^{3 x}-3\right) {\mathrm e}^{3}\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(-5+\left(x \,{\mathrm e}^{3 x}-3\right) {\mathrm e}^{3}\right)}{x^{2}}\right) \mathrm{csgn}\left(\frac{i}{x^{2}}\right) \mathrm{csgn}\left(i \left(-5+\left(x \,{\mathrm e}^{3 x}-3\right) {\mathrm e}^{3}\right)\right)}{2}-i \mathrm{csgn}\left(\frac{i \left(-5+\left(x \,{\mathrm e}^{3 x}-3\right) {\mathrm e}^{3}\right)}{x^{2}}\right)^{2} \pi}}{x^{2}}$&$247$\\ \hline \end{longtable}"," ",0,"(1/exp(3)*exp(16)*(3*exp(3)+5)-x*exp(16)*exp(3*x))/x^2","A"
10310,1,10,15,0.020000," ","int(90*exp(x)*exp(exp(1)^2)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$90 \,{\mathrm e}^{x +2 \,{\mathrm e}^{2}}$&$10$\\ gosper&$90 \,{\mathrm e}^{x} {\mathrm e}^{2 \,{\mathrm e}^{2}}$&$12$\\ derivativedivides&$90 \,{\mathrm e}^{x} {\mathrm e}^{2 \,{\mathrm e}^{2}}$&$12$\\ default&$90 \,{\mathrm e}^{x} {\mathrm e}^{2 \,{\mathrm e}^{2}}$&$12$\\ norman&$90 \,{\mathrm e}^{x} {\mathrm e}^{2 \,{\mathrm e}^{2}}$&$12$\\ meijerg&$-90 \,{\mathrm e}^{2 \,{\mathrm e}^{2}} \left(1-{\mathrm e}^{x}\right)$&$14$\\ \hline \end{longtable}"," ",0,"90*exp(x+2*exp(2))","A"
10311,1,37,26,0.992000," ","int((-10*exp(5)*exp(-5*x/(exp(5)-2*x))^2+(2*exp(5)^2-18*x*exp(5)+8*x^2)*exp(-5*x/(exp(5)-2*x))+2*x*exp(5)^2-8*x^2*exp(5)+8*x^3)/((exp(5)^2-4*x*exp(5)+4*x^2)*exp(-5*x/(exp(5)-2*x))^4+(4*x*exp(5)^2-16*x^2*exp(5)+16*x^3)*exp(-5*x/(exp(5)-2*x))^3+((6*x^2-12)*exp(5)^2+(-24*x^3+48*x)*exp(5)+24*x^4-48*x^2)*exp(-5*x/(exp(5)-2*x))^2+((4*x^3-24*x)*exp(5)^2+(-16*x^4+96*x^2)*exp(5)+16*x^5-96*x^3)*exp(-5*x/(exp(5)-2*x))+(x^4-12*x^2+36)*exp(5)^2+(-4*x^5+48*x^3-144*x)*exp(5)+4*x^6-48*x^4+144*x^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{1}{{\mathrm e}^{-\frac{10 x}{{\mathrm e}^{5}-2 x}}+2 \,{\mathrm e}^{-\frac{5 x}{{\mathrm e}^{5}-2 x}} x +x^{2}-6}$&$37$\\ \hline \end{longtable}"," ",0,"-1/(exp(-10*x/(exp(5)-2*x))+2*exp(-5*x/(exp(5)-2*x))*x+x^2-6)","A"
10312,1,18,18,0.035000," ","int(1/8*(8*exp(x)-8)*exp(-exp(x)+x-2)+1/8*x+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$x +\frac{x^{2}}{16}-{\mathrm e}^{-{\mathrm e}^{x}+x -2}$&$18$\\ risch&$x +\frac{x^{2}}{16}-{\mathrm e}^{-{\mathrm e}^{x}+x -2}$&$18$\\ default&$x +\frac{x^{2}}{16}+{\mathrm e}^{-2} \left(-{\mathrm e}^{-{\mathrm e}^{x}} {\mathrm e}^{x}-{\mathrm e}^{-{\mathrm e}^{x}}\right)+{\mathrm e}^{-2} {\mathrm e}^{-{\mathrm e}^{x}}$&$36$\\ \hline \end{longtable}"," ",0,"x+1/16*x^2-exp(-exp(x)+x-2)","A"
10313,1,18,18,0.055000," ","int(((-87*x^2-6*x-87)*ln(x)-3*x^3-87*x^2+3*x+87)/(x^4-2*x^2+1)/ln(x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{3 x \left(x +29\right)}{\left(x^{2}-1\right) \ln \left(x \right)}$&$18$\\ norman&$\frac{3 x^{2}+87 x}{\left(x^{2}-1\right) \ln \left(x \right)}$&$22$\\ \hline \end{longtable}"," ",0,"3*x*(x+29)/(x^2-1)/ln(x)","A"
10314,1,21,18,0.028000," ","int(-exp(21)*ln(x)+(-15*x-15)*exp(4+x)-exp(21)+60*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$30 x^{2}-15 x \,{\mathrm e}^{4+x}-\ln \left(x \right) {\mathrm e}^{21} x$&$21$\\ risch&$30 x^{2}-15 x \,{\mathrm e}^{4+x}-\ln \left(x \right) {\mathrm e}^{21} x$&$21$\\ default&$-15 \,{\mathrm e}^{4+x} \left(4+x \right)+60 \,{\mathrm e}^{4+x}+30 x^{2}-\ln \left(x \right) {\mathrm e}^{21} x$&$29$\\ \hline \end{longtable}"," ",0,"30*x^2-15*x*exp(4+x)-ln(x)*exp(21)*x","A"
10315,1,18,23,0.093000," ","int((2*x^2*exp(5)^8+(-4*x^3-2)*exp(5)^4+2*x^4+4*x)/(x^2*exp(5)^8-2*x^3*exp(5)^4+x^4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$2 x +\frac{2}{x \left({\mathrm e}^{20}-x \right)}$&$18$\\ gosper&$\frac{-2 x^{3}+2+2 \,{\mathrm e}^{40} x}{x \left({\mathrm e}^{20}-x \right)}$&$29$\\ norman&$\frac{-2 x^{3}+2+2 \,{\mathrm e}^{40} x}{x \left({\mathrm e}^{20}-x \right)}$&$29$\\ \hline \end{longtable}"," ",0,"2*x+2/x/(exp(20)-x)","A"
10316,1,15,17,0.059000," ","int(1/125*(750*exp(9/2500*x^4-3)-9*x^3)/exp(9/2500*x^4-3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$6 x +5 \,{\mathrm e}^{-\frac{9 x^{4}}{2500}+3}$&$15$\\ default&$6 x +5 \,{\mathrm e}^{-\frac{9 x^{4}}{2500}} {\mathrm e}^{3}$&$19$\\ norman&$\left(5+6 x \,{\mathrm e}^{\frac{9 x^{4}}{2500}-3}\right) {\mathrm e}^{-\frac{9 x^{4}}{2500}+3}$&$25$\\ meijerg&$-\frac{5 \sqrt{3}\, \sqrt{2}\, \left(-1\right)^{\frac{3}{4}} {\mathrm e}^{-\frac{9 x^{4}}{2500}+\frac{9 x^{4} {\mathrm e}^{3}}{2500}} \left(\frac{\sqrt{2}\, x \left(-1\right)^{\frac{1}{4}} \left(-{\mathrm e}^{3}+1\right)^{\frac{1}{4}} \pi}{\left(-x^{4} \left(-{\mathrm e}^{3}+1\right)\right)^{\frac{1}{4}} \Gamma \left(\frac{3}{4}\right)}-\frac{\left(-1\right)^{\frac{1}{4}} x \left(-{\mathrm e}^{3}+1\right)^{\frac{1}{4}} \Gamma \left(\frac{1}{4}, -\frac{9 x^{4} \left(-{\mathrm e}^{3}+1\right)}{2500}\right)}{\left(-x^{4} \left(-{\mathrm e}^{3}+1\right)\right)^{\frac{1}{4}}}\right)}{2 \left(-{\mathrm e}^{3}+1\right)^{\frac{1}{4}}}-5 \,{\mathrm e}^{-\frac{9 x^{4}}{2500}+\frac{9 x^{4} {\mathrm e}^{3}}{2500}} \left(1-{\mathrm e}^{-\frac{9 x^{4} {\mathrm e}^{3}}{2500}}\right)$&$138$\\ \hline \end{longtable}"," ",0,"6*x+5*exp(-9/2500*x^4+3)","A"
10317,1,107,25,0.092000," ","int(3*exp(4)^2*exp(x)^3+1/4*((48*x^2+32*x+16)*exp(4)^2+(32*x-32)*exp(4))*exp(x)^2+1/4*((36*x^4+120*x^3-32*x^2+68*x-3)*exp(4)^2+(48*x^3+56*x^2-128*x+12)*exp(4)+16*x^2-16*x-12)*exp(x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{3 x +8}+\frac{\left(24 x^{2} {\mathrm e}^{8}-8 x \,{\mathrm e}^{8}+12 \,{\mathrm e}^{8}+16 x \,{\mathrm e}^{4}-24 \,{\mathrm e}^{4}\right) {\mathrm e}^{2 x}}{4}+\frac{\left(36 x^{4} {\mathrm e}^{8}-24 x^{3} {\mathrm e}^{8}+40 x^{2} {\mathrm e}^{8}+48 x^{3} {\mathrm e}^{4}-12 x \,{\mathrm e}^{8}-88 x^{2} {\mathrm e}^{4}+9 \,{\mathrm e}^{8}+48 x \,{\mathrm e}^{4}+16 x^{2}-36 \,{\mathrm e}^{4}-48 x +36\right) {\mathrm e}^{x}}{4}$&$107$\\ norman&$\left(3 \,{\mathrm e}^{8}-6 \,{\mathrm e}^{4}\right) {\mathrm e}^{2 x}+\left(\frac{9 \,{\mathrm e}^{8}}{4}-9 \,{\mathrm e}^{4}+9\right) {\mathrm e}^{x}+{\mathrm e}^{8} {\mathrm e}^{3 x}+\left(-6 \,{\mathrm e}^{8}+12 \,{\mathrm e}^{4}\right) x^{3} {\mathrm e}^{x}+\left(-2 \,{\mathrm e}^{8}+4 \,{\mathrm e}^{4}\right) x \,{\mathrm e}^{2 x}+\left(4+10 \,{\mathrm e}^{8}-22 \,{\mathrm e}^{4}\right) x^{2} {\mathrm e}^{x}+\left(-3 \,{\mathrm e}^{8}+12 \,{\mathrm e}^{4}-12\right) x \,{\mathrm e}^{x}+6 x^{2} {\mathrm e}^{8} {\mathrm e}^{2 x}+9 x^{4} {\mathrm e}^{8} {\mathrm e}^{x}$&$134$\\ meijerg&$-\frac{3 \,{\mathrm e}^{8} \left(2-\frac{\left(12 x^{2}-12 x +6\right) {\mathrm e}^{2 x}}{3}\right)}{2}+2 \,{\mathrm e}^{4} \left({\mathrm e}^{4}+1\right) \left(1-\frac{\left(-4 x +2\right) {\mathrm e}^{2 x}}{2}\right)-\left(-8 \,{\mathrm e}^{8}+14 \,{\mathrm e}^{4}+4\right) \left(2-\frac{\left(3 x^{2}-6 x +6\right) {\mathrm e}^{x}}{3}\right)-\left(-17 \,{\mathrm e}^{8}+32 \,{\mathrm e}^{4}+4\right) \left(1-\frac{\left(-2 x +2\right) {\mathrm e}^{x}}{2}\right)-9 \,{\mathrm e}^{8} \left(24-\frac{\left(5 x^{4}-20 x^{3}+60 x^{2}-120 x +120\right) {\mathrm e}^{x}}{5}\right)-\left(-30 \,{\mathrm e}^{8}-12 \,{\mathrm e}^{4}\right) \left(6-\frac{\left(-4 x^{3}+12 x^{2}-24 x +24\right) {\mathrm e}^{x}}{4}\right)-{\mathrm e}^{8} \left(1-{\mathrm e}^{3 x}\right)-2 \,{\mathrm e}^{4} \left({\mathrm e}^{4}-2\right) \left(1-{\mathrm e}^{2 x}\right)-\left(-3-\frac{3 \,{\mathrm e}^{8}}{4}+3 \,{\mathrm e}^{4}\right) \left(1-{\mathrm e}^{x}\right)$&$204$\\ default&$-4 \,{\mathrm e}^{4} {\mathrm e}^{2 x}+2 \,{\mathrm e}^{8} {\mathrm e}^{2 x}+8 \,{\mathrm e}^{8} \left(\frac{x \,{\mathrm e}^{2 x}}{2}-\frac{{\mathrm e}^{2 x}}{4}\right)+8 \,{\mathrm e}^{4} \left(\frac{x \,{\mathrm e}^{2 x}}{2}-\frac{{\mathrm e}^{2 x}}{4}\right)+12 \,{\mathrm e}^{8} \left(\frac{{\mathrm e}^{2 x} x^{2}}{2}-\frac{x \,{\mathrm e}^{2 x}}{2}+\frac{{\mathrm e}^{2 x}}{4}\right)+4 \,{\mathrm e}^{x} x^{2}-12 \,{\mathrm e}^{x} x +9 \,{\mathrm e}^{x}+3 \,{\mathrm e}^{4} {\mathrm e}^{x}-\frac{3 \,{\mathrm e}^{8} {\mathrm e}^{x}}{4}-32 \,{\mathrm e}^{4} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+17 \,{\mathrm e}^{8} \left({\mathrm e}^{x} x -{\mathrm e}^{x}\right)+12 \,{\mathrm e}^{4} \left({\mathrm e}^{x} x^{3}-3 \,{\mathrm e}^{x} x^{2}+6 \,{\mathrm e}^{x} x -6 \,{\mathrm e}^{x}\right)+14 \,{\mathrm e}^{4} \left({\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right)-8 \,{\mathrm e}^{8} \left({\mathrm e}^{x} x^{2}-2 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}\right)+30 \,{\mathrm e}^{8} \left({\mathrm e}^{x} x^{3}-3 \,{\mathrm e}^{x} x^{2}+6 \,{\mathrm e}^{x} x -6 \,{\mathrm e}^{x}\right)+9 \,{\mathrm e}^{8} \left({\mathrm e}^{x} x^{4}-4 \,{\mathrm e}^{x} x^{3}+12 \,{\mathrm e}^{x} x^{2}-24 \,{\mathrm e}^{x} x +24 \,{\mathrm e}^{x}\right)+{\mathrm e}^{8} {\mathrm e}^{3 x}$&$288$\\ \hline \end{longtable}"," ",0,"exp(3*x+8)+1/4*(24*x^2*exp(8)-8*x*exp(8)+12*exp(8)+16*x*exp(4)-24*exp(4))*exp(2*x)+1/4*(36*x^4*exp(8)-24*x^3*exp(8)+40*x^2*exp(8)+48*x^3*exp(4)-12*x*exp(8)-88*x^2*exp(4)+9*exp(8)+48*x*exp(4)+16*x^2-36*exp(4)-48*x+36)*exp(x)","B"
10318,1,621,25,0.650000," ","int(((-x^5+9*x^4-15*x^3-57*x^2+164*x-60)*ln((x^8-12*x^7+30*x^6+132*x^5-607*x^4-48*x^3+2424*x^2-1920*x+400)/(x^4-12*x^3+54*x^2-108*x+81))+(4*x^5-36*x^4+108*x^3-60*x^2-208*x)*ln(2*x))/(x^6-9*x^5+15*x^4+57*x^3-164*x^2+60*x)/ln(2*x)^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{2 \ln \left(x^{4}-6 x^{3}-3 x^{2}+48 x -20\right)}{\ln \left(2 x \right)}-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(x^{4}-6 x^{3}-3 x^{2}+48 x -20\right)^{2}}{\left(x -3\right)^{4}}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(i \left(x -3\right)^{3}\right)^{2}-i \pi  \,\mathrm{csgn}\left(i \left(x^{4}-6 x^{3}-3 x^{2}+48 x -20\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{4}-6 x^{3}-3 x^{2}+48 x -20\right)^{2}}{\left(x -3\right)^{4}}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(i \left(x -3\right)^{4}\right)^{2}+i \pi  \mathrm{csgn}\left(i \left(x^{4}-6 x^{3}-3 x^{2}+48 x -20\right)\right)^{2} \mathrm{csgn}\left(i \left(x^{4}-6 x^{3}-3 x^{2}+48 x -20\right)^{2}\right)-2 i \pi  \,\mathrm{csgn}\left(i \left(x^{4}-6 x^{3}-3 x^{2}+48 x -20\right)\right) \mathrm{csgn}\left(i \left(x^{4}-6 x^{3}-3 x^{2}+48 x -20\right)^{2}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(x -3\right)^{2}\right) \mathrm{csgn}\left(i \left(x -3\right)^{3}\right)^{2}-i \pi  \mathrm{csgn}\left(i \left(x -3\right)^{3}\right)^{3}-i \pi  \mathrm{csgn}\left(i \left(x -3\right)^{4}\right)^{3}+i \pi  \,\mathrm{csgn}\left(i \left(x -3\right)^{3}\right) \mathrm{csgn}\left(i \left(x -3\right)^{4}\right)^{2}+i \pi  \mathrm{csgn}\left(i \left(x^{4}-6 x^{3}-3 x^{2}+48 x -20\right)^{2}\right)^{3}-i \pi  \,\mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(i \left(x -3\right)^{2}\right) \mathrm{csgn}\left(i \left(x -3\right)^{3}\right)-i \pi  \,\mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(i \left(x -3\right)^{3}\right) \mathrm{csgn}\left(i \left(x -3\right)^{4}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i}{\left(x -3\right)^{4}}\right) \mathrm{csgn}\left(i \left(x^{4}-6 x^{3}-3 x^{2}+48 x -20\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left(x^{4}-6 x^{3}-3 x^{2}+48 x -20\right)^{2}}{\left(x -3\right)^{4}}\right)-i \pi  \mathrm{csgn}\left(i \left(x -3\right)\right)^{2} \mathrm{csgn}\left(i \left(x -3\right)^{2}\right)+2 i \pi  \,\mathrm{csgn}\left(i \left(x -3\right)\right) \mathrm{csgn}\left(i \left(x -3\right)^{2}\right)^{2}-i \pi  \mathrm{csgn}\left(i \left(x -3\right)^{2}\right)^{3}-i \pi  \,\mathrm{csgn}\left(\frac{i}{\left(x -3\right)^{4}}\right) \mathrm{csgn}\left(\frac{i \left(x^{4}-6 x^{3}-3 x^{2}+48 x -20\right)^{2}}{\left(x -3\right)^{4}}\right)^{2}+8 \ln \left(x -3\right)}{2 \ln \left(2 x \right)}$&$621$\\ \hline \end{longtable}"," ",0,"2/ln(2*x)*ln(x^4-6*x^3-3*x^2+48*x-20)-1/2*(I*Pi*csgn(I/(x-3)^4*(x^4-6*x^3-3*x^2+48*x-20)^2)^3+I*Pi*csgn(I*(x-3))*csgn(I*(x-3)^3)^2-I*Pi*csgn(I*(x^4-6*x^3-3*x^2+48*x-20)^2)*csgn(I/(x-3)^4*(x^4-6*x^3-3*x^2+48*x-20)^2)^2+I*Pi*csgn(I*(x-3))*csgn(I*(x-3)^4)^2+I*Pi*csgn(I*(x^4-6*x^3-3*x^2+48*x-20))^2*csgn(I*(x^4-6*x^3-3*x^2+48*x-20)^2)-2*I*Pi*csgn(I*(x^4-6*x^3-3*x^2+48*x-20))*csgn(I*(x^4-6*x^3-3*x^2+48*x-20)^2)^2+I*Pi*csgn(I*(x-3)^2)*csgn(I*(x-3)^3)^2-I*Pi*csgn(I*(x-3)^3)^3-I*Pi*csgn(I*(x-3)^4)^3+I*Pi*csgn(I*(x-3)^3)*csgn(I*(x-3)^4)^2+I*Pi*csgn(I*(x^4-6*x^3-3*x^2+48*x-20)^2)^3-I*Pi*csgn(I*(x-3))*csgn(I*(x-3)^2)*csgn(I*(x-3)^3)-I*Pi*csgn(I*(x-3))*csgn(I*(x-3)^3)*csgn(I*(x-3)^4)+I*Pi*csgn(I/(x-3)^4)*csgn(I*(x^4-6*x^3-3*x^2+48*x-20)^2)*csgn(I/(x-3)^4*(x^4-6*x^3-3*x^2+48*x-20)^2)-I*Pi*csgn(I*(x-3))^2*csgn(I*(x-3)^2)+2*I*Pi*csgn(I*(x-3))*csgn(I*(x-3)^2)^2-I*Pi*csgn(I*(x-3)^2)^3-I*Pi*csgn(I/(x-3)^4)*csgn(I/(x-3)^4*(x^4-6*x^3-3*x^2+48*x-20)^2)^2+8*ln(x-3))/ln(2*x)","C"
10319,1,19,18,0.093000," ","int(((-x^2+6*x)*ln(x^2)+2*x-10)/exp(x)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\left(x \ln \left(x^{2}\right)-5 \ln \left(x^{2}\right)\right) {\mathrm e}^{-x}$&$19$\\ default&$\left(x \left(\ln \left(x^{2}\right)-2 \ln \left(x \right)\right)-5 \ln \left(x^{2}\right)+2 x \ln \left(x \right)\right) {\mathrm e}^{-x}$&$29$\\ risch&$2 \left(x -5\right) {\mathrm e}^{-x} \ln \left(x \right)-\frac{i \pi  \,\mathrm{csgn}\left(i x^{2}\right) \left(x \mathrm{csgn}\left(i x \right)^{2}-2 x \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i x^{2}\right)+x \mathrm{csgn}\left(i x^{2}\right)^{2}-5 \mathrm{csgn}\left(i x \right)^{2}+10 \,\mathrm{csgn}\left(i x^{2}\right) \mathrm{csgn}\left(i x \right)-5 \mathrm{csgn}\left(i x^{2}\right)^{2}\right) {\mathrm e}^{-x}}{2}$&$98$\\ \hline \end{longtable}"," ",0,"(x*ln(x^2)-5*ln(x^2))/exp(x)","A"
10320,1,21,24,0.083000," ","int((-ln(3)*exp(-x+25)+(-2*x+8)*ln(3))/(exp(-x+25)-x^2+8*x-13),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(3\right) \ln \left(x^{2}-8 x -{\mathrm e}^{-x +25}+13\right)$&$21$\\ risch&$-25 \ln \left(3\right)+\ln \left(3\right) \ln \left({\mathrm e}^{-x +25}-x^{2}+8 x -13\right)$&$26$\\ \hline \end{longtable}"," ",0,"ln(3)*ln(x^2-8*x-exp(-x+25)+13)","A"
10321,1,47,32,0.141000," ","int((((50*x-5)*ln(x)+50*x^4-20*x^3+2*x^2-25*x+5)*ln(2*x)^3+(300*x^3-570*x^2+192*x-18)*ln(2*x)-900*x^2+360*x-36)/(25*x^4-10*x^3+x^2)/ln(2*x)^3,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-\frac{5 \ln \left(x \right)}{x \left(5 x -1\right)}+2 x -\frac{24 \left(-3+2 x \ln \left(2\right)+2 x \ln \left(x \right)\right)}{x \left(2 \ln \left(2\right)+2 \ln \left(x \right)\right)^{2}}$&$47$\\ \hline \end{longtable}"," ",0,"-5/x/(5*x-1)*ln(x)+2*x-24*(-3+2*x*ln(2)+2*x*ln(x))/x/(2*ln(2)+2*ln(x))^2","A"
10322,1,37,25,0.218000," ","int((((2*x^2+5*x-40)*ln(5)*exp(x)-24*x^2+120*x-150)*exp(((5+x)*ln(5)*exp(x)-12*x^2+30*x)/(6*x-15))-12*x^2+60*x-75)/(12*x^2-60*x+75),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$-x +5^{\frac{x \,{\mathrm e}^{x}}{6 x -15}} 5^{\frac{5 \,{\mathrm e}^{x}}{3 \left(2 x -5\right)}} {\mathrm e}^{-2 x}$&$37$\\ norman&$\frac{-2 x^{2}+2 x \,{\mathrm e}^{\frac{\left(5+x \right) \ln \left(5\right) {\mathrm e}^{x}-12 x^{2}+30 x}{6 x -15}}-5 \,{\mathrm e}^{\frac{\left(5+x \right) \ln \left(5\right) {\mathrm e}^{x}-12 x^{2}+30 x}{6 x -15}}+\frac{25}{2}}{2 x -5}$&$73$\\ \hline \end{longtable}"," ",0,"-x+5^(1/3*exp(x)*x/(2*x-5))*5^(5/3*exp(x)/(2*x-5))*exp(-2*x)","A"
10323,1,37,28,0.073000," ","int(((-x*ln(x)^2+ln(x)*(5-x)+5)*ln(1/2*x*ln(x)-5/2)+((-x^2+x)*exp(x)-x^3)*ln(x)^2+((6*x-5)*exp(x)+x^3+4*x^2+5)*ln(x)-5*exp(x)-5*x^2+5*x+5)/(x^3*ln(x)^3-5*x^2*ln(x)^2),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{\ln \left(\frac{x \ln \left(x \right)}{2}-\frac{5}{2}\right)}{x \ln \left(x \right)}-\frac{x^{2}-x +{\mathrm e}^{x}-1}{x \ln \left(x \right)}$&$37$\\ \hline \end{longtable}"," ",0,"1/x/ln(x)*ln(1/2*x*ln(x)-5/2)-1/x*(x^2-x+exp(x)-1)/ln(x)","A"
10324,1,25,28,0.048000," ","int((x^2*ln(5)+9*exp(1)^2*exp(5)+x^2*exp(1)^2-x^2)/x^2/ln(5),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$\frac{{\mathrm e}^{2} x +x \ln \left(5\right)-x -\frac{9 \,{\mathrm e}^{7}}{x}}{\ln \left(5\right)}$&$25$\\ risch&$\frac{x \,{\mathrm e}^{2}}{\ln \left(5\right)}+x -\frac{x}{\ln \left(5\right)}-\frac{9 \,{\mathrm e}^{7}}{\ln \left(5\right) x}$&$29$\\ norman&$\frac{\frac{\left({\mathrm e}^{2}+\ln \left(5\right)-1\right) x^{2}}{\ln \left(5\right)}-\frac{9 \,{\mathrm e}^{2} {\mathrm e}^{5}}{\ln \left(5\right)}}{x}$&$34$\\ gosper&$-\frac{-x^{2} {\mathrm e}^{2}+9 \,{\mathrm e}^{2} {\mathrm e}^{5}-x^{2} \ln \left(5\right)+x^{2}}{x \ln \left(5\right)}$&$38$\\ \hline \end{longtable}"," ",0,"1/ln(5)*(exp(2)*x+x*ln(5)-x-9*exp(7)/x)","A"
10325,1,25,21,0.105000," ","int((((144*x-288)*exp(x)-2304)*ln(x)^6+((-144*x^2+576*x)*exp(x)+4608*x)*ln(x)^4+(-576*exp(x)*x-4608*x)*ln(x)^3)*exp((144*exp(x)+1152)*ln(x)^4/(5*x^2*ln(x)^4-10*x^3*ln(x)^2+5*x^4))/(5*x^3*ln(x)^6-15*x^4*ln(x)^4+15*x^5*ln(x)^2-5*x^6),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&${\mathrm e}^{\frac{144 \left({\mathrm e}^{x}+8\right) \ln \left(x \right)^{4}}{5 x^{2} \left(\ln \left(x \right)^{2}-x \right)^{2}}}$&$25$\\ \hline \end{longtable}"," ",0,"exp(144/5*(exp(x)+8)*ln(x)^4/x^2/(ln(x)^2-x)^2)","A"
10326,1,11,24,0.023000," ","int((2*x^2*exp(x^2)+x-1)/x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{x^{2}}-\ln \left(x \right)+x$&$11$\\ norman&${\mathrm e}^{x^{2}}-\ln \left(x \right)+x$&$11$\\ risch&${\mathrm e}^{x^{2}}-\ln \left(x \right)+x$&$11$\\ \hline \end{longtable}"," ",0,"exp(x^2)-ln(x)+x","A"
10327,1,16,20,0.020000," ","int(2*ln(ln(3))+3+4*x,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline gosper&$2 \ln \left(\ln \left(3\right)\right) x +2 x^{2}+3 x$&$16$\\ default&$2 \ln \left(\ln \left(3\right)\right) x +2 x^{2}+3 x$&$16$\\ norman&$2 x^{2}+\left(2 \ln \left(\ln \left(3\right)\right)+3\right) x$&$16$\\ risch&$2 \ln \left(\ln \left(3\right)\right) x +2 x^{2}+3 x$&$16$\\ \hline \end{longtable}"," ",0,"2*ln(ln(3))*x+2*x^2+3*x","A"
10328,1,26,28,0.118000," ","int((x^2*exp(exp(1)*exp(-5*exp(1-x)+5*x))^2+(-10*x*exp(1)*exp(1-x)-10*x*exp(1))*ln(x)*exp(-5*exp(1-x)+5*x)-2*ln(x)+1)*exp(ln(x)/x^2/exp(exp(1)*exp(-5*exp(1-x)+5*x))^2)/x^2/exp(exp(1)*exp(-5*exp(1-x)+5*x))^2,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x^{\frac{{\mathrm e}^{-2 \,{\mathrm e}^{1-5 \,{\mathrm e}^{1-x}+5 x}}}{x^{2}}} x$&$26$\\ \hline \end{longtable}"," ",0,"x^(1/x^2*exp(-2*exp(1-5*exp(1-x)+5*x)))*x","A"
10329,1,14,13,0.063000," ","int(5*exp(x+1)*exp(5*exp(x+1)+3/4)-1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&${\mathrm e}^{5 \,{\mathrm e}^{x +1}+\frac{3}{4}}-x$&$14$\\ norman&${\mathrm e}^{5 \,{\mathrm e}^{x +1}+\frac{3}{4}}-x$&$14$\\ risch&${\mathrm e}^{5 \,{\mathrm e}^{x +1}+\frac{3}{4}}-x$&$14$\\ derivativedivides&${\mathrm e}^{5 \,{\mathrm e}^{x +1}+\frac{3}{4}}-\ln \left(20 \,{\mathrm e}^{x +1}\right)$&$20$\\ \hline \end{longtable}"," ",0,"exp(5*exp(x+1)+3/4)-x","A"
10330,1,15,19,0.096000," ","int(((x^2-x)*exp(x)+x^2+x+2)/(x^2-x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$4 \ln \left(x -1\right)+x +{\mathrm e}^{x}-2 \ln \left(x \right)$&$15$\\ norman&$4 \ln \left(x -1\right)+x +{\mathrm e}^{x}-2 \ln \left(x \right)$&$15$\\ risch&$4 \ln \left(x -1\right)+x +{\mathrm e}^{x}-2 \ln \left(x \right)$&$15$\\ \hline \end{longtable}"," ",0,"4*ln(x-1)+x+exp(x)-2*ln(x)","A"
10331,1,20,20,0.197000," ","int(-12*exp(ln((exp(x)+4)/exp(x))+1/5*ln(10)^2)*exp(exp(ln((exp(x)+4)/exp(x))+1/5*ln(10)^2))/(exp(x)+4),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$3 \,{\mathrm e}^{{\mathrm e}^{\frac{\ln \left(10\right)^{2}}{5}} \left({\mathrm e}^{x}+4\right) {\mathrm e}^{-x}}$&$20$\\ derivativedivides&$3 \,{\mathrm e}^{-\frac{\left(\ln \left(2\right)+\ln \left(5\right)\right)^{2}}{5}} {\mathrm e}^{\frac{\ln \left(2\right)^{2}}{5}+\frac{2 \ln \left(2\right) \ln \left(5\right)}{5}+\frac{\ln \left(5\right)^{2}}{5}+{\mathrm e}^{\frac{\left(\ln \left(2\right)+\ln \left(5\right)\right)^{2}}{5}}+4 \,{\mathrm e}^{\frac{\left(\ln \left(2\right)+\ln \left(5\right)\right)^{2}}{5}} {\mathrm e}^{-x}}$&$61$\\ default&$3 \,{\mathrm e}^{-\frac{\left(\ln \left(2\right)+\ln \left(5\right)\right)^{2}}{5}} {\mathrm e}^{\frac{\ln \left(2\right)^{2}}{5}+\frac{2 \ln \left(2\right) \ln \left(5\right)}{5}+\frac{\ln \left(5\right)^{2}}{5}+{\mathrm e}^{\frac{\left(\ln \left(2\right)+\ln \left(5\right)\right)^{2}}{5}}+4 \,{\mathrm e}^{\frac{\left(\ln \left(2\right)+\ln \left(5\right)\right)^{2}}{5}} {\mathrm e}^{-x}}$&$61$\\ risch&$3 \,{\mathrm e}^{2^{\frac{2 \ln \left(5\right)}{5}} \left({\mathrm e}^{x}+4\right) {\mathrm e}^{-x -\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}+4\right)\right)^{3}}{2}+\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}+4\right)\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{-x}\right)}{2}+\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}+4\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+4\right)\right)}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}+4\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+4\right)\right)}{2}+\frac{\ln \left(2\right)^{2}}{5}+\frac{\ln \left(5\right)^{2}}{5}}}$&$134$\\ \hline \end{longtable}"," ",0,"3*exp(exp(1/5*ln(10)^2)*(exp(x)+4)/exp(x))","A"
10332,1,17,14,0.030000," ","int(10*exp(x)^2+10*ln(7)*exp(x)+5,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline default&$5 x +5 \,{\mathrm e}^{2 x}+10 \ln \left(7\right) {\mathrm e}^{x}$&$17$\\ norman&$5 x +5 \,{\mathrm e}^{2 x}+10 \ln \left(7\right) {\mathrm e}^{x}$&$17$\\ risch&$5 x +5 \,{\mathrm e}^{2 x}+10 \ln \left(7\right) {\mathrm e}^{x}$&$17$\\ derivativedivides&$5 \,{\mathrm e}^{2 x}+10 \ln \left(7\right) {\mathrm e}^{x}+5 \ln \left({\mathrm e}^{x}\right)$&$19$\\ \hline \end{longtable}"," ",0,"5*x+5*exp(x)^2+10*ln(7)*exp(x)","A"
10333,1,18,15,0.056000," ","int(ln((x*exp(1)*ln(ln(5)-5)+x)/exp(1))+1,x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$x \ln \left(x \left({\mathrm e} \ln \left(\ln \left(5\right)-5\right)+1\right) {\mathrm e}^{-1}\right)$&$18$\\ derivativedivides&$x \ln \left(x \left({\mathrm e} \ln \left(\ln \left(5\right)-5\right)+1\right) {\mathrm e}^{-1}\right)$&$20$\\ norman&$x \ln \left(\left(x \,{\mathrm e} \ln \left(\ln \left(5\right)-5\right)+x \right) {\mathrm e}^{-1}\right)$&$20$\\ default&$x +\frac{{\mathrm e} x \ln \left(x \left({\mathrm e} \ln \left(\ln \left(5\right)-5\right)+1\right) {\mathrm e}^{-1}\right) \ln \left(\ln \left(5\right)-5\right)}{{\mathrm e} \ln \left(\ln \left(5\right)-5\right)+1}+\frac{x \ln \left(x \left({\mathrm e} \ln \left(\ln \left(5\right)-5\right)+1\right) {\mathrm e}^{-1}\right)}{{\mathrm e} \ln \left(\ln \left(5\right)-5\right)+1}-\frac{{\mathrm e} x \ln \left(\ln \left(5\right)-5\right)}{{\mathrm e} \ln \left(\ln \left(5\right)-5\right)+1}-\frac{x}{{\mathrm e} \ln \left(\ln \left(5\right)-5\right)+1}$&$109$\\ \hline \end{longtable}"," ",0,"x*ln(x*(exp(1)*ln(ln(5)-5)+1)*exp(-1))","A"
10334,1,21,20,0.118000," ","int(((6*x-3)*exp(2*x)+2*x^3-3)/(3*x*exp(2*x)+x^4+1876*x^2+3*x)/ln((3*exp(2*x)+x^3+1876*x+3)/x),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline norman&$\ln \left(\ln \left(\frac{3 \,{\mathrm e}^{2 x}+x^{3}+1876 x +3}{x}\right)\right)$&$21$\\ risch&$\ln \left(\ln \left(3 \,{\mathrm e}^{2 x}+x^{3}+1876 x +3\right)-\frac{i \left(\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(i \left(3 \,{\mathrm e}^{2 x}+x^{3}+1876 x +3\right)\right) \mathrm{csgn}\left(\frac{i \left(3 \,{\mathrm e}^{2 x}+x^{3}+1876 x +3\right)}{x}\right)-\pi  \,\mathrm{csgn}\left(\frac{i}{x}\right) \mathrm{csgn}\left(\frac{i \left(3 \,{\mathrm e}^{2 x}+x^{3}+1876 x +3\right)}{x}\right)^{2}-\pi  \,\mathrm{csgn}\left(i \left(3 \,{\mathrm e}^{2 x}+x^{3}+1876 x +3\right)\right) \mathrm{csgn}\left(\frac{i \left(3 \,{\mathrm e}^{2 x}+x^{3}+1876 x +3\right)}{x}\right)^{2}+\pi  \mathrm{csgn}\left(\frac{i \left(3 \,{\mathrm e}^{2 x}+x^{3}+1876 x +3\right)}{x}\right)^{3}-2 i \ln \left(x \right)\right)}{2}\right)$&$177$\\ \hline \end{longtable}"," ",0,"ln(ln((3*exp(2*x)+x^3+1876*x+3)/x))","A"
10335,1,22,27,0.049000," ","int(((-108*x^5*exp(x)+135*x^4)*exp(exp(x))^2+9*x^6+162*x^5)/(27*exp(exp(x))^6+(27*x^2+162*x)*exp(exp(x))^4+(9*x^4+108*x^3+324*x^2)*exp(exp(x))^2+x^6+18*x^5+108*x^4+216*x^3),x,method=_RETURNVERBOSE)","\begin{longtable}{|l|l|l|}\hline method& result & size\\ \hline risch&$\frac{9 x^{5}}{\left(3 \,{\mathrm e}^{2 \,{\mathrm e}^{x}}+x^{2}+6 x \right)^{2}}$&$22$\\ \hline \end{longtable}"," ",0,"9*x^5/(3*exp(2*exp(x))+x^2+6*x)^2","A"
